id	sid	tid	token	lemma	pos
ejpam-4765	1	1	european	european	PROPN
ejpam-4765	1	2	journal	journal	PROPN
ejpam-4765	1	3	of	of	ADP
ejpam-4765	1	4	pure	pure	ADJ
ejpam-4765	1	5	and	and	CCONJ
ejpam-4765	1	6	applied	apply	VERB
ejpam-4765	1	7	mathematics	mathematic	NOUN
ejpam-4765	1	8	vol	vol	NOUN
ejpam-4765	1	9	.	.	PUNCT
ejpam-4765	2	1	16	16	NUM
ejpam-4765	2	2	,	,	PUNCT
ejpam-4765	2	3	no	no	INTJ
ejpam-4765	2	4	.	.	NOUN
ejpam-4765	2	5	4	4	NUM
ejpam-4765	2	6	,	,	PUNCT
ejpam-4765	2	7	2023	2023	NUM
ejpam-4765	2	8	,	,	PUNCT
ejpam-4765	2	9	2509	2509	NUM
ejpam-4765	2	10	-	-	SYM
ejpam-4765	2	11	2543	2543	NUM
ejpam-4765	2	12	issn	issn	PROPN
ejpam-4765	2	13	1307	1307	NUM
ejpam-4765	2	14	-	-	SYM
ejpam-4765	2	15	5543	5543	NUM
ejpam-4765	2	16	–	–	PUNCT
ejpam-4765	2	17	ejpam.com	ejpam.com	X
ejpam-4765	2	18	published	publish	VERB
ejpam-4765	2	19	by	by	ADP
ejpam-4765	2	20	new	new	PROPN
ejpam-4765	2	21	york	york	PROPN
ejpam-4765	2	22	business	business	PROPN
ejpam-4765	2	23	global	global	PROPN
ejpam-4765	2	24	kernel	kernel	PROPN
ejpam-4765	2	25	estimation	estimation	NOUN
ejpam-4765	2	26	of	of	ADP
ejpam-4765	2	27	the	the	DET
ejpam-4765	2	28	quintile	quintile	NOUN
ejpam-4765	2	29	share	share	PROPN
ejpam-4765	2	30	ratio	ratio	NOUN
ejpam-4765	2	31	index	index	NOUN
ejpam-4765	2	32	of	of	ADP
ejpam-4765	2	33	inequality	inequality	NOUN
ejpam-4765	2	34	for	for	ADP
ejpam-4765	2	35	heavy	heavy	ADJ
ejpam-4765	2	36	-	-	PUNCT
ejpam-4765	2	37	tailed	tail	VERB
ejpam-4765	2	38	income	income	NOUN
ejpam-4765	2	39	distributions	distribution	NOUN
ejpam-4765	2	40	modou	modou	PROPN
ejpam-4765	2	41	kebe1	kebe1	PROPN
ejpam-4765	2	42	,	,	PUNCT
ejpam-4765	2	43	el	el	PROPN
ejpam-4765	2	44	hadji	hadji	PROPN
ejpam-4765	2	45	deme1,∗	deme1,∗	PROPN
ejpam-4765	2	46	,	,	PUNCT
ejpam-4765	2	47	tchilabalo	tchilabalo	NOUN
ejpam-4765	2	48	abozou	abozou	VERB
ejpam-4765	2	49	kpanzou2	kpanzou2	PROPN
ejpam-4765	2	50	,	,	PUNCT
ejpam-4765	2	51	solym	solym	NOUN
ejpam-4765	2	52	mawaki	mawaki	NOUN
ejpam-4765	2	53	manou	manou	NOUN
ejpam-4765	2	54	-	-	PUNCT
ejpam-4765	2	55	abi3	abi3	ADJ
ejpam-4765	2	56	,	,	PUNCT
ejpam-4765	2	57	ebrima	ebrima	NOUN
ejpam-4765	2	58	sisawo1	sisawo1	PROPN
ejpam-4765	2	59	1	1	NUM
ejpam-4765	2	60	lerstad	lerstad	PROPN
ejpam-4765	2	61	,	,	PUNCT
ejpam-4765	2	62	ufr	ufr	PROPN
ejpam-4765	2	63	sat	sit	VERB
ejpam-4765	2	64	,	,	PUNCT
ejpam-4765	2	65	université	université	NOUN
ejpam-4765	2	66	gaston	gaston	PROPN
ejpam-4765	2	67	berger	berger	PROPN
ejpam-4765	2	68	,	,	PUNCT
ejpam-4765	2	69	bp	bp	PROPN
ejpam-4765	2	70	234	234	NUM
ejpam-4765	2	71	,	,	PUNCT
ejpam-4765	2	72	saint	saint	NOUN
ejpam-4765	2	73	-	-	PUNCT
ejpam-4765	2	74	louis	louis	NOUN
ejpam-4765	2	75	,	,	PUNCT
ejpam-4765	2	76	sénégal	sénégal	ADJ
ejpam-4765	2	77	2	2	NUM
ejpam-4765	2	78	lammasd	lammasd	NOUN
ejpam-4765	2	79	,	,	PUNCT
ejpam-4765	2	80	département	département	PROPN
ejpam-4765	2	81	de	de	X
ejpam-4765	2	82	mathématiques	mathématiques	PROPN
ejpam-4765	2	83	,	,	PUNCT
ejpam-4765	2	84	université	université	NOUN
ejpam-4765	2	85	de	de	X
ejpam-4765	2	86	kara	kara	PROPN
ejpam-4765	2	87	,	,	PUNCT
ejpam-4765	2	88	togo	togo	PROPN
ejpam-4765	2	89	3	3	NUM
ejpam-4765	2	90	institut	institut	PROPN
ejpam-4765	2	91	montpelliérain	montpelliérain	PROPN
ejpam-4765	2	92	alexander	alexander	PROPN
ejpam-4765	2	93	grothendieck	grothendieck	PROPN
ejpam-4765	2	94	,	,	PUNCT
ejpam-4765	2	95	umr	umr	PROPN
ejpam-4765	2	96	cnrs	cnrs	NOUN
ejpam-4765	2	97	5149	5149	NUM
ejpam-4765	2	98	,	,	PUNCT
ejpam-4765	2	99	place	place	NOUN
ejpam-4765	2	100	eugéne	eugéne	PROPN
ejpam-4765	2	101	bataillon	bataillon	PROPN
ejpam-4765	2	102	,	,	PUNCT
ejpam-4765	2	103	34090	34090	NUM
ejpam-4765	2	104	,	,	PUNCT
ejpam-4765	2	105	,	,	PUNCT
ejpam-4765	2	106	montpellier	montpellier	NOUN
ejpam-4765	2	107	,	,	PUNCT
ejpam-4765	2	108	france	france	PROPN
ejpam-4765	2	109	.	.	PUNCT
ejpam-4765	3	1	centre	centre	PROPN
ejpam-4765	3	2	universitaire	universitaire	NOUN
ejpam-4765	3	3	de	de	X
ejpam-4765	3	4	formation	formation	NOUN
ejpam-4765	3	5	et	et	PROPN
ejpam-4765	3	6	de	de	X
ejpam-4765	3	7	recherche	recherche	PROPN
ejpam-4765	3	8	,	,	PUNCT
ejpam-4765	3	9	mayotte	mayotte	PROPN
ejpam-4765	3	10	,	,	PUNCT
ejpam-4765	3	11	france	france	PROPN
ejpam-4765	3	12	abstract	abstract	NOUN
ejpam-4765	3	13	.	.	PUNCT
ejpam-4765	4	1	evidence	evidence	NOUN
ejpam-4765	4	2	from	from	ADP
ejpam-4765	4	3	micro	micro	NOUN
ejpam-4765	4	4	-	-	NOUN
ejpam-4765	4	5	data	data	NOUN
ejpam-4765	4	6	shows	show	VERB
ejpam-4765	4	7	that	that	SCONJ
ejpam-4765	4	8	capital	capital	NOUN
ejpam-4765	4	9	incomes	income	NOUN
ejpam-4765	4	10	are	be	AUX
ejpam-4765	4	11	exceedingly	exceedingly	ADV
ejpam-4765	4	12	volatile	volatile	ADJ
ejpam-4765	4	13	,	,	PUNCT
ejpam-4765	4	14	which	which	PRON
ejpam-4765	4	15	makes	make	VERB
ejpam-4765	4	16	up	up	ADP
ejpam-4765	4	17	a	a	DET
ejpam-4765	4	18	disproportionately	disproportionately	ADV
ejpam-4765	4	19	high	high	ADJ
ejpam-4765	4	20	contribution	contribution	NOUN
ejpam-4765	4	21	to	to	ADP
ejpam-4765	4	22	the	the	DET
ejpam-4765	4	23	overall	overall	ADJ
ejpam-4765	4	24	inequality	inequality	NOUN
ejpam-4765	4	25	in	in	ADP
ejpam-4765	4	26	populations	population	NOUN
ejpam-4765	4	27	with	with	ADP
ejpam-4765	4	28	the	the	DET
ejpam-4765	4	29	heavy	heavy	ADV
ejpam-4765	4	30	-	-	PUNCT
ejpam-4765	4	31	tailed	tail	VERB
ejpam-4765	4	32	nature	nature	NOUN
ejpam-4765	4	33	on	on	ADP
ejpam-4765	4	34	the	the	DET
ejpam-4765	4	35	income	income	NOUN
ejpam-4765	4	36	distributions	distribution	NOUN
ejpam-4765	4	37	for	for	ADP
ejpam-4765	4	38	many	many	ADJ
ejpam-4765	4	39	countries	country	NOUN
ejpam-4765	4	40	.	.	PUNCT
ejpam-4765	5	1	the	the	DET
ejpam-4765	5	2	quintile	quintile	NOUN
ejpam-4765	5	3	share	share	NOUN
ejpam-4765	5	4	ratio	ratio	NOUN
ejpam-4765	5	5	(	(	PUNCT
ejpam-4765	5	6	qsr	qsr	PROPN
ejpam-4765	5	7	)	)	PUNCT
ejpam-4765	5	8	is	be	AUX
ejpam-4765	5	9	a	a	DET
ejpam-4765	5	10	recently	recently	ADV
ejpam-4765	5	11	introduced	introduce	VERB
ejpam-4765	5	12	measure	measure	NOUN
ejpam-4765	5	13	of	of	ADP
ejpam-4765	5	14	income	income	NOUN
ejpam-4765	5	15	inequality	inequality	NOUN
ejpam-4765	5	16	,	,	PUNCT
ejpam-4765	5	17	also	also	ADV
ejpam-4765	5	18	forming	form	VERB
ejpam-4765	5	19	part	part	NOUN
ejpam-4765	5	20	of	of	ADP
ejpam-4765	5	21	the	the	DET
ejpam-4765	5	22	european	european	ADJ
ejpam-4765	5	23	laeken	laeken	PROPN
ejpam-4765	5	24	indicators	indicator	NOUN
ejpam-4765	5	25	and	and	CCONJ
ejpam-4765	5	26	which	which	PRON
ejpam-4765	5	27	cover	cover	VERB
ejpam-4765	5	28	four	four	NUM
ejpam-4765	5	29	important	important	ADJ
ejpam-4765	5	30	dimensions	dimension	NOUN
ejpam-4765	5	31	of	of	ADP
ejpam-4765	5	32	social	social	ADJ
ejpam-4765	5	33	inclusion	inclusion	NOUN
ejpam-4765	5	34	(	(	PUNCT
ejpam-4765	5	35	health	health	NOUN
ejpam-4765	5	36	,	,	PUNCT
ejpam-4765	5	37	education	education	NOUN
ejpam-4765	5	38	,	,	PUNCT
ejpam-4765	5	39	employment	employment	NOUN
ejpam-4765	5	40	and	and	CCONJ
ejpam-4765	5	41	financial	financial	ADJ
ejpam-4765	5	42	poverty	poverty	NOUN
ejpam-4765	5	43	)	)	PUNCT
ejpam-4765	5	44	.	.	PUNCT
ejpam-4765	6	1	in	in	ADP
ejpam-4765	6	2	2001	2001	NUM
ejpam-4765	6	3	,	,	PUNCT
ejpam-4765	6	4	the	the	DET
ejpam-4765	6	5	european	european	PROPN
ejpam-4765	6	6	council	council	PROPN
ejpam-4765	6	7	decided	decide	VERB
ejpam-4765	6	8	that	that	SCONJ
ejpam-4765	6	9	income	income	NOUN
ejpam-4765	6	10	inequality	inequality	NOUN
ejpam-4765	6	11	in	in	ADP
ejpam-4765	6	12	the	the	DET
ejpam-4765	6	13	european	european	PROPN
ejpam-4765	6	14	union	union	PROPN
ejpam-4765	6	15	member	member	NOUN
ejpam-4765	6	16	states	state	NOUN
ejpam-4765	6	17	should	should	AUX
ejpam-4765	6	18	be	be	AUX
ejpam-4765	6	19	described	describe	VERB
ejpam-4765	6	20	using	use	VERB
ejpam-4765	6	21	a	a	DET
ejpam-4765	6	22	number	number	NOUN
ejpam-4765	6	23	of	of	ADP
ejpam-4765	6	24	indicators	indicator	NOUN
ejpam-4765	6	25	including	include	VERB
ejpam-4765	6	26	the	the	DET
ejpam-4765	6	27	qsr	qsr	PROPN
ejpam-4765	6	28	.	.	PUNCT
ejpam-4765	7	1	non	non	ADJ
ejpam-4765	7	2	-	-	ADJ
ejpam-4765	7	3	parametric	parametric	ADJ
ejpam-4765	7	4	estimation	estimation	NOUN
ejpam-4765	7	5	has	have	AUX
ejpam-4765	7	6	been	be	AUX
ejpam-4765	7	7	developed	develop	VERB
ejpam-4765	7	8	on	on	ADP
ejpam-4765	7	9	the	the	DET
ejpam-4765	7	10	qsr	qsr	PROPN
ejpam-4765	7	11	index	index	NOUN
ejpam-4765	7	12	for	for	ADP
ejpam-4765	7	13	heavy	heavy	ADJ
ejpam-4765	7	14	-	-	PUNCT
ejpam-4765	7	15	tailed	tail	VERB
ejpam-4765	7	16	capital	capital	NOUN
ejpam-4765	7	17	incomes	income	NOUN
ejpam-4765	7	18	distributions	distribution	NOUN
ejpam-4765	7	19	.	.	PUNCT
ejpam-4765	8	1	however	however	ADV
ejpam-4765	8	2	,	,	PUNCT
ejpam-4765	8	3	this	this	DET
ejpam-4765	8	4	method	method	NOUN
ejpam-4765	8	5	of	of	ADP
ejpam-4765	8	6	estimation	estimation	NOUN
ejpam-4765	8	7	does	do	AUX
ejpam-4765	8	8	not	not	PART
ejpam-4765	8	9	give	give	VERB
ejpam-4765	8	10	satisfactory	satisfactory	ADJ
ejpam-4765	8	11	statistical	statistical	ADJ
ejpam-4765	8	12	performances	performance	NOUN
ejpam-4765	8	13	,	,	PUNCT
ejpam-4765	8	14	since	since	SCONJ
ejpam-4765	8	15	it	it	PRON
ejpam-4765	8	16	suffers	suffer	VERB
ejpam-4765	8	17	badly	badly	ADV
ejpam-4765	8	18	from	from	ADP
ejpam-4765	8	19	under	under	ADP
ejpam-4765	8	20	coverage	coverage	NOUN
ejpam-4765	8	21	,	,	PUNCT
ejpam-4765	8	22	and	and	CCONJ
ejpam-4765	8	23	so	so	ADV
ejpam-4765	8	24	we	we	PRON
ejpam-4765	8	25	can	can	AUX
ejpam-4765	8	26	not	not	PART
ejpam-4765	8	27	rely	rely	VERB
ejpam-4765	8	28	on	on	ADP
ejpam-4765	8	29	the	the	DET
ejpam-4765	8	30	nonparametric	nonparametric	NOUN
ejpam-4765	8	31	estimator	estimator	NOUN
ejpam-4765	8	32	.	.	PUNCT
ejpam-4765	9	1	hence	hence	ADV
ejpam-4765	9	2	,	,	PUNCT
ejpam-4765	9	3	we	we	PRON
ejpam-4765	9	4	need	need	VERB
ejpam-4765	9	5	another	another	DET
ejpam-4765	9	6	estimator	estimator	NOUN
ejpam-4765	9	7	in	in	ADP
ejpam-4765	9	8	the	the	DET
ejpam-4765	9	9	case	case	NOUN
ejpam-4765	9	10	of	of	ADP
ejpam-4765	9	11	heavy	heavy	ADJ
ejpam-4765	9	12	-	-	PUNCT
ejpam-4765	9	13	tailed	tail	VERB
ejpam-4765	9	14	populations	population	NOUN
ejpam-4765	9	15	.	.	PUNCT
ejpam-4765	10	1	this	this	PRON
ejpam-4765	10	2	is	be	AUX
ejpam-4765	10	3	the	the	DET
ejpam-4765	10	4	reason	reason	NOUN
ejpam-4765	10	5	why	why	SCONJ
ejpam-4765	10	6	we	we	PRON
ejpam-4765	10	7	introduce	introduce	VERB
ejpam-4765	10	8	,	,	PUNCT
ejpam-4765	10	9	in	in	ADP
ejpam-4765	10	10	this	this	DET
ejpam-4765	10	11	paper	paper	NOUN
ejpam-4765	10	12	,	,	PUNCT
ejpam-4765	10	13	a	a	DET
ejpam-4765	10	14	class	class	NOUN
ejpam-4765	10	15	of	of	ADP
ejpam-4765	10	16	semi	semi	ADJ
ejpam-4765	10	17	-	-	ADJ
ejpam-4765	10	18	parametric	parametric	ADJ
ejpam-4765	10	19	estimators	estimator	NOUN
ejpam-4765	10	20	of	of	ADP
ejpam-4765	10	21	the	the	DET
ejpam-4765	10	22	qsr	qsr	PROPN
ejpam-4765	10	23	index	index	NOUN
ejpam-4765	10	24	of	of	ADP
ejpam-4765	10	25	economic	economic	ADJ
ejpam-4765	10	26	inequality	inequality	NOUN
ejpam-4765	10	27	for	for	ADP
ejpam-4765	10	28	heavy	heavy	ADJ
ejpam-4765	10	29	-	-	PUNCT
ejpam-4765	10	30	tailed	tail	VERB
ejpam-4765	10	31	income	income	NOUN
ejpam-4765	10	32	distributions	distribution	NOUN
ejpam-4765	10	33	.	.	PUNCT
ejpam-4765	11	1	our	our	PRON
ejpam-4765	11	2	methodology	methodology	NOUN
ejpam-4765	11	3	is	be	AUX
ejpam-4765	11	4	based	base	VERB
ejpam-4765	11	5	on	on	ADP
ejpam-4765	11	6	the	the	DET
ejpam-4765	11	7	extreme	extreme	ADJ
ejpam-4765	11	8	value	value	NOUN
ejpam-4765	11	9	theory	theory	NOUN
ejpam-4765	11	10	,	,	PUNCT
ejpam-4765	11	11	which	which	PRON
ejpam-4765	11	12	offers	offer	VERB
ejpam-4765	11	13	adequate	adequate	ADJ
ejpam-4765	11	14	statistical	statistical	ADJ
ejpam-4765	11	15	results	result	NOUN
ejpam-4765	11	16	for	for	ADP
ejpam-4765	11	17	such	such	ADJ
ejpam-4765	11	18	distributions	distribution	NOUN
ejpam-4765	11	19	.	.	PUNCT
ejpam-4765	12	1	we	we	PRON
ejpam-4765	12	2	establish	establish	VERB
ejpam-4765	12	3	their	their	PRON
ejpam-4765	12	4	asymptotic	asymptotic	ADJ
ejpam-4765	12	5	distribution	distribution	NOUN
ejpam-4765	12	6	,	,	PUNCT
ejpam-4765	12	7	and	and	CCONJ
ejpam-4765	12	8	through	through	ADP
ejpam-4765	12	9	a	a	DET
ejpam-4765	12	10	simulation	simulation	NOUN
ejpam-4765	12	11	study	study	NOUN
ejpam-4765	12	12	,	,	PUNCT
ejpam-4765	12	13	we	we	PRON
ejpam-4765	12	14	illustrate	illustrate	VERB
ejpam-4765	12	15	their	their	PRON
ejpam-4765	12	16	behavior	behavior	NOUN
ejpam-4765	12	17	in	in	ADP
ejpam-4765	12	18	terms	term	NOUN
ejpam-4765	12	19	of	of	ADP
ejpam-4765	12	20	the	the	DET
ejpam-4765	12	21	absolute	absolute	ADJ
ejpam-4765	12	22	bias	bias	NOUN
ejpam-4765	12	23	and	and	CCONJ
ejpam-4765	12	24	the	the	DET
ejpam-4765	12	25	median	median	ADJ
ejpam-4765	12	26	squared	square	VERB
ejpam-4765	12	27	error	error	NOUN
ejpam-4765	12	28	.	.	PUNCT
ejpam-4765	13	1	the	the	DET
ejpam-4765	13	2	simulation	simulation	NOUN
ejpam-4765	13	3	results	result	VERB
ejpam-4765	13	4	clearly	clearly	ADV
ejpam-4765	13	5	show	show	VERB
ejpam-4765	13	6	that	that	SCONJ
ejpam-4765	13	7	our	our	PRON
ejpam-4765	13	8	estimators	estimator	NOUN
ejpam-4765	13	9	work	work	VERB
ejpam-4765	13	10	well	well	ADV
ejpam-4765	13	11	.	.	PUNCT
ejpam-4765	14	1	2020	2020	NUM
ejpam-4765	14	2	mathematics	mathematic	NOUN
ejpam-4765	14	3	subject	subject	NOUN
ejpam-4765	14	4	classifications	classification	NOUN
ejpam-4765	14	5	:	:	PUNCT
ejpam-4765	14	6	62e20	62e20	NUM
ejpam-4765	14	7	,	,	PUNCT
ejpam-4765	14	8	62g30	62g30	NUM
ejpam-4765	14	9	,	,	PUNCT
ejpam-4765	14	10	62g32	62g32	DET
ejpam-4765	14	11	key	key	ADJ
ejpam-4765	14	12	words	word	NOUN
ejpam-4765	14	13	and	and	CCONJ
ejpam-4765	14	14	phrases	phrase	NOUN
ejpam-4765	14	15	:	:	PUNCT
ejpam-4765	14	16	inequality	inequality	NOUN
ejpam-4765	14	17	measures	measure	NOUN
ejpam-4765	14	18	,	,	PUNCT
ejpam-4765	14	19	qsr	qsr	NUM
ejpam-4765	14	20	index	index	NOUN
ejpam-4765	14	21	,	,	PUNCT
ejpam-4765	14	22	kernel	kernel	PROPN
ejpam-4765	14	23	estimation	estimation	PROPN
ejpam-4765	14	24	,	,	PUNCT
ejpam-4765	14	25	heavy	heavy	ADV
ejpam-4765	14	26	-	-	PUNCT
ejpam-4765	14	27	tailed	tailed	ADJ
ejpam-4765	14	28	,	,	PUNCT
ejpam-4765	14	29	extreme	extreme	ADJ
ejpam-4765	14	30	value	value	NOUN
ejpam-4765	14	31	theory	theory	NOUN
ejpam-4765	14	32	.	.	PUNCT
ejpam-4765	15	1	∗corresponding	∗corresponde	VERB
ejpam-4765	15	2	author	author	NOUN
ejpam-4765	15	3	.	.	PUNCT
ejpam-4765	16	1	doi	doi	NOUN
ejpam-4765	16	2	:	:	PUNCT
ejpam-4765	16	3	https://doi.org/10.29020/nybg.ejpam.v16i4.4765	https://doi.org/10.29020/nybg.ejpam.v16i4.4765	PROPN
ejpam-4765	16	4	email	email	NOUN
ejpam-4765	16	5	addresses	address	VERB
ejpam-4765	16	6	:	:	PUNCT
ejpam-4765	16	7	modoukebe44@gmail.com	modoukebe44@gmail.com	X
ejpam-4765	16	8	(	(	PUNCT
ejpam-4765	16	9	m.	m.	NOUN
ejpam-4765	16	10	kebe	kebe	PROPN
ejpam-4765	16	11	)	)	PUNCT
ejpam-4765	16	12	,	,	PUNCT
ejpam-4765	16	13	elhadji.deme@egb.edu.sn	elhadji.deme@egb.edu.sn	PROPN
ejpam-4765	16	14	(	(	PUNCT
ejpam-4765	16	15	e.	e.	PROPN
ejpam-4765	16	16	deme	deme	PROPN
ejpam-4765	16	17	)	)	PUNCT
ejpam-4765	16	18	,	,	PUNCT
ejpam-4765	16	19	kpanzout@gmail.com	kpanzout@gmail.com	X
ejpam-4765	16	20	(	(	PUNCT
ejpam-4765	16	21	t.	t.	NOUN
ejpam-4765	16	22	a.	a.	NOUN
ejpam-4765	16	23	kpanzou	kpanzou	PROPN
ejpam-4765	16	24	)	)	PUNCT
ejpam-4765	16	25	,	,	PUNCT
ejpam-4765	16	26	solym.manou-abi@univ-mayotte.fr	solym.manou-abi@univ-mayotte.fr	PROPN
ejpam-4765	16	27	(	(	PUNCT
ejpam-4765	16	28	s.	s.	PROPN
ejpam-4765	16	29	m.manou	m.manou	PROPN
ejpam-4765	16	30	-	-	PUNCT
ejpam-4765	16	31	abi	abi	PROPN
ejpam-4765	16	32	)	)	PUNCT
ejpam-4765	16	33	,	,	PUNCT
ejpam-4765	16	34	esso870@gmail.com	esso870@gmail.com	X
ejpam-4765	16	35	(	(	PUNCT
ejpam-4765	16	36	e.	e.	PROPN
ejpam-4765	16	37	sisawo	sisawo	PROPN
ejpam-4765	16	38	)	)	PUNCT
ejpam-4765	16	39	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4765	16	40	2509	2509	NUM
ejpam-4765	17	1	©	©	ADP
ejpam-4765	17	2	2023	2023	NUM
ejpam-4765	17	3	ejpam	ejpam	NOUN
ejpam-4765	17	4	all	all	DET
ejpam-4765	17	5	rights	right	NOUN
ejpam-4765	17	6	reserved	reserve	VERB
ejpam-4765	17	7	.	.	PUNCT
ejpam-4765	18	1	m.	m.	NOUN
ejpam-4765	18	2	kebe	kebe	PROPN
ejpam-4765	18	3	et	et	PROPN
ejpam-4765	18	4	al	al	PROPN
ejpam-4765	18	5	.	.	PUNCT
ejpam-4765	18	6	/	/	SYM
ejpam-4765	18	7	eur	eur	PROPN
ejpam-4765	18	8	.	.	PUNCT
ejpam-4765	19	1	j.	j.	PROPN
ejpam-4765	19	2	pure	pure	PROPN
ejpam-4765	19	3	appl	appl	PROPN
ejpam-4765	19	4	.	.	PROPN
ejpam-4765	19	5	math	math	PROPN
ejpam-4765	19	6	,	,	PUNCT
ejpam-4765	19	7	16	16	NUM
ejpam-4765	19	8	(	(	PUNCT
ejpam-4765	19	9	4	4	NUM
ejpam-4765	19	10	)	)	PUNCT
ejpam-4765	19	11	(	(	PUNCT
ejpam-4765	19	12	2023	2023	NUM
ejpam-4765	19	13	)	)	PUNCT
ejpam-4765	19	14	,	,	PUNCT
ejpam-4765	19	15	2509	2509	NUM
ejpam-4765	19	16	-	-	SYM
ejpam-4765	19	17	2543	2543	NUM
ejpam-4765	19	18	2510	2510	NUM
ejpam-4765	19	19	1	1	NUM
ejpam-4765	19	20	.	.	PUNCT
ejpam-4765	20	1	introduction	introduction	NOUN
ejpam-4765	20	2	inequality	inequality	NOUN
ejpam-4765	20	3	measurement	measurement	NOUN
ejpam-4765	20	4	is	be	AUX
ejpam-4765	20	5	an	an	DET
ejpam-4765	20	6	attempt	attempt	NOUN
ejpam-4765	20	7	to	to	PART
ejpam-4765	20	8	make	make	VERB
ejpam-4765	20	9	sense	sense	NOUN
ejpam-4765	20	10	of	of	ADP
ejpam-4765	20	11	comparisons	comparison	NOUN
ejpam-4765	20	12	of	of	ADP
ejpam-4765	20	13	income	income	NOUN
ejpam-4765	20	14	distributions	distribution	NOUN
ejpam-4765	20	15	in	in	ADP
ejpam-4765	20	16	terms	term	NOUN
ejpam-4765	20	17	of	of	ADP
ejpam-4765	20	18	criteria	criterion	NOUN
ejpam-4765	20	19	that	that	PRON
ejpam-4765	20	20	can	can	AUX
ejpam-4765	20	21	be	be	AUX
ejpam-4765	20	22	derived	derive	VERB
ejpam-4765	20	23	from	from	ADP
ejpam-4765	20	24	ethical	ethical	ADJ
ejpam-4765	20	25	principles	principle	NOUN
ejpam-4765	20	26	,	,	PUNCT
ejpam-4765	20	27	appealing	appealing	ADJ
ejpam-4765	20	28	mathematical	mathematical	ADJ
ejpam-4765	20	29	constructions	construction	NOUN
ejpam-4765	20	30	or	or	CCONJ
ejpam-4765	20	31	simple	simple	ADJ
ejpam-4765	20	32	intuition	intuition	NOUN
ejpam-4765	20	33	.	.	PUNCT
ejpam-4765	21	1	a	a	DET
ejpam-4765	21	2	serious	serious	ADJ
ejpam-4765	21	3	approach	approach	NOUN
ejpam-4765	21	4	to	to	ADP
ejpam-4765	21	5	inequality	inequality	NOUN
ejpam-4765	21	6	measurement	measurement	NOUN
ejpam-4765	21	7	should	should	AUX
ejpam-4765	21	8	begin	begin	VERB
ejpam-4765	21	9	with	with	ADP
ejpam-4765	21	10	a	a	DET
ejpam-4765	21	11	consideration	consideration	NOUN
ejpam-4765	21	12	of	of	ADP
ejpam-4765	21	13	the	the	DET
ejpam-4765	21	14	entities	entity	NOUN
ejpam-4765	21	15	to	to	PART
ejpam-4765	21	16	which	which	PRON
ejpam-4765	21	17	the	the	DET
ejpam-4765	21	18	tools	tool	NOUN
ejpam-4765	21	19	of	of	ADP
ejpam-4765	21	20	distributional	distributional	ADJ
ejpam-4765	21	21	judgement	judgement	NOUN
ejpam-4765	21	22	are	be	AUX
ejpam-4765	21	23	applied	apply	VERB
ejpam-4765	21	24	.	.	PUNCT
ejpam-4765	22	1	in	in	ADP
ejpam-4765	22	2	the	the	DET
ejpam-4765	22	3	recent	recent	ADJ
ejpam-4765	22	4	decades	decade	NOUN
ejpam-4765	22	5	,	,	PUNCT
ejpam-4765	22	6	the	the	DET
ejpam-4765	22	7	capital	capital	NOUN
ejpam-4765	22	8	income	income	NOUN
ejpam-4765	22	9	is	be	AUX
ejpam-4765	22	10	among	among	ADP
ejpam-4765	22	11	the	the	DET
ejpam-4765	22	12	major	major	ADJ
ejpam-4765	22	13	incomes	income	NOUN
ejpam-4765	22	14	in	in	ADP
ejpam-4765	22	15	a	a	DET
ejpam-4765	22	16	big	big	ADJ
ejpam-4765	22	17	number	number	NOUN
ejpam-4765	22	18	of	of	ADP
ejpam-4765	22	19	countries	country	NOUN
ejpam-4765	22	20	,	,	PUNCT
ejpam-4765	22	21	there	there	PRON
ejpam-4765	22	22	are	be	VERB
ejpam-4765	22	23	many	many	ADJ
ejpam-4765	22	24	important	important	ADJ
ejpam-4765	22	25	studies	study	NOUN
ejpam-4765	22	26	devoted	devote	VERB
ejpam-4765	22	27	to	to	ADP
ejpam-4765	22	28	the	the	DET
ejpam-4765	22	29	capital	capital	NOUN
ejpam-4765	22	30	income	income	NOUN
ejpam-4765	22	31	,	,	PUNCT
ejpam-4765	22	32	mainly	mainly	ADV
ejpam-4765	22	33	dealing	deal	VERB
ejpam-4765	22	34	with	with	ADP
ejpam-4765	22	35	relationships	relationship	NOUN
ejpam-4765	22	36	between	between	ADP
ejpam-4765	22	37	capital	capital	NOUN
ejpam-4765	22	38	income	income	NOUN
ejpam-4765	22	39	taxation	taxation	NOUN
ejpam-4765	22	40	and	and	CCONJ
ejpam-4765	22	41	welfare	welfare	NOUN
ejpam-4765	22	42	benefits	benefit	NOUN
ejpam-4765	22	43	,	,	PUNCT
ejpam-4765	22	44	and	and	CCONJ
ejpam-4765	22	45	in	in	ADP
ejpam-4765	22	46	particular	particular	ADJ
ejpam-4765	22	47	with	with	ADP
ejpam-4765	22	48	the	the	DET
ejpam-4765	22	49	incidence	incidence	NOUN
ejpam-4765	22	50	and	and	CCONJ
ejpam-4765	22	51	efficiency	efficiency	NOUN
ejpam-4765	22	52	effects	effect	NOUN
ejpam-4765	22	53	of	of	ADP
ejpam-4765	22	54	taxes	taxis	NOUN
ejpam-4765	22	55	on	on	ADP
ejpam-4765	22	56	incomes	income	NOUN
ejpam-4765	22	57	from	from	ADP
ejpam-4765	22	58	capital	capital	NOUN
ejpam-4765	22	59	in	in	ADP
ejpam-4765	22	60	various	various	ADJ
ejpam-4765	22	61	scenarios	scenario	NOUN
ejpam-4765	22	62	of	of	ADP
ejpam-4765	22	63	development	development	NOUN
ejpam-4765	22	64	sectors	sector	NOUN
ejpam-4765	22	65	.	.	PUNCT
ejpam-4765	23	1	for	for	SCONJ
ejpam-4765	23	2	further	further	ADJ
ejpam-4765	23	3	details	detail	NOUN
ejpam-4765	23	4	see	see	VERB
ejpam-4765	23	5	,	,	PUNCT
ejpam-4765	23	6	e.g.	e.g.	ADV
ejpam-4765	23	7	,	,	PUNCT
ejpam-4765	23	8	[	[	X
ejpam-4765	23	9	1	1	NUM
ejpam-4765	23	10	]	]	PUNCT
ejpam-4765	23	11	,	,	PUNCT
ejpam-4765	24	1	[	[	X
ejpam-4765	24	2	6	6	NUM
ejpam-4765	24	3	]	]	PUNCT
ejpam-4765	24	4	,	,	PUNCT
ejpam-4765	24	5	[	[	X
ejpam-4765	24	6	20	20	NUM
ejpam-4765	24	7	]	]	PUNCT
ejpam-4765	24	8	,	,	PUNCT
ejpam-4765	24	9	[	[	X
ejpam-4765	24	10	25	25	NUM
ejpam-4765	24	11	]	]	PUNCT
ejpam-4765	24	12	,	,	PUNCT
ejpam-4765	25	1	[	[	X
ejpam-4765	25	2	28	28	NUM
ejpam-4765	25	3	]	]	PUNCT
ejpam-4765	25	4	,	,	PUNCT
ejpam-4765	25	5	[	[	X
ejpam-4765	25	6	40	40	NUM
ejpam-4765	25	7	]	]	PUNCT
ejpam-4765	25	8	.	.	PUNCT
ejpam-4765	26	1	measuring	measure	VERB
ejpam-4765	26	2	and	and	CCONJ
ejpam-4765	26	3	analyzing	analyze	VERB
ejpam-4765	26	4	incomes	income	NOUN
ejpam-4765	26	5	,	,	PUNCT
ejpam-4765	26	6	risks	risk	NOUN
ejpam-4765	26	7	and	and	CCONJ
ejpam-4765	26	8	other	other	ADJ
ejpam-4765	26	9	random	random	ADJ
ejpam-4765	26	10	outcomes	outcome	NOUN
ejpam-4765	26	11	has	have	AUX
ejpam-4765	26	12	been	be	AUX
ejpam-4765	26	13	an	an	DET
ejpam-4765	26	14	active	active	ADJ
ejpam-4765	26	15	and	and	CCONJ
ejpam-4765	26	16	fruitful	fruitful	ADJ
ejpam-4765	26	17	research	research	NOUN
ejpam-4765	26	18	field	field	NOUN
ejpam-4765	26	19	.	.	PUNCT
ejpam-4765	27	1	academics	academic	NOUN
ejpam-4765	27	2	and	and	CCONJ
ejpam-4765	27	3	governmental	governmental	ADJ
ejpam-4765	27	4	researchers	researcher	NOUN
ejpam-4765	27	5	have	have	AUX
ejpam-4765	27	6	been	be	AUX
ejpam-4765	27	7	developing	develop	VERB
ejpam-4765	27	8	measures	measure	NOUN
ejpam-4765	27	9	that	that	PRON
ejpam-4765	27	10	would	would	AUX
ejpam-4765	27	11	aid	aid	VERB
ejpam-4765	27	12	them	they	PRON
ejpam-4765	27	13	in	in	ADP
ejpam-4765	27	14	understanding	understand	VERB
ejpam-4765	27	15	income	income	NOUN
ejpam-4765	27	16	and	and	CCONJ
ejpam-4765	27	17	loss	loss	NOUN
ejpam-4765	27	18	distributions	distribution	NOUN
ejpam-4765	27	19	,	,	PUNCT
ejpam-4765	27	20	their	their	PRON
ejpam-4765	27	21	differences	difference	NOUN
ejpam-4765	27	22	with	with	ADP
ejpam-4765	27	23	respect	respect	NOUN
ejpam-4765	27	24	to	to	ADP
ejpam-4765	27	25	geographic	geographic	ADJ
ejpam-4765	27	26	regions	region	NOUN
ejpam-4765	27	27	and	and	CCONJ
ejpam-4765	27	28	changes	change	NOUN
ejpam-4765	27	29	over	over	ADP
ejpam-4765	27	30	time	time	NOUN
ejpam-4765	27	31	periods	period	NOUN
ejpam-4765	27	32	.	.	PUNCT
ejpam-4765	28	1	it	it	PRON
ejpam-4765	28	2	is	be	AUX
ejpam-4765	28	3	a	a	DET
ejpam-4765	28	4	fascinating	fascinating	ADJ
ejpam-4765	28	5	area	area	NOUN
ejpam-4765	28	6	due	due	ADP
ejpam-4765	28	7	to	to	ADP
ejpam-4765	28	8	a	a	DET
ejpam-4765	28	9	number	number	NOUN
ejpam-4765	28	10	of	of	ADP
ejpam-4765	28	11	reasons	reason	NOUN
ejpam-4765	28	12	,	,	PUNCT
ejpam-4765	28	13	one	one	NUM
ejpam-4765	28	14	of	of	ADP
ejpam-4765	28	15	them	they	PRON
ejpam-4765	28	16	being	be	AUX
ejpam-4765	28	17	the	the	DET
ejpam-4765	28	18	fact	fact	NOUN
ejpam-4765	28	19	that	that	SCONJ
ejpam-4765	28	20	different	different	ADJ
ejpam-4765	28	21	measures	measure	NOUN
ejpam-4765	28	22	or	or	CCONJ
ejpam-4765	28	23	indices	index	NOUN
ejpam-4765	28	24	are	be	AUX
ejpam-4765	28	25	needed	need	VERB
ejpam-4765	28	26	to	to	PART
ejpam-4765	28	27	reveal	reveal	VERB
ejpam-4765	28	28	different	different	ADJ
ejpam-4765	28	29	features	feature	NOUN
ejpam-4765	28	30	of	of	ADP
ejpam-4765	28	31	capital	capital	NOUN
ejpam-4765	28	32	income	income	NOUN
ejpam-4765	28	33	distributions	distribution	NOUN
ejpam-4765	28	34	.	.	PUNCT
ejpam-4765	29	1	the	the	DET
ejpam-4765	29	2	gini	gini	PROPN
ejpam-4765	29	3	index	index	NOUN
ejpam-4765	29	4	has	have	AUX
ejpam-4765	29	5	been	be	AUX
ejpam-4765	29	6	widely	widely	ADV
ejpam-4765	29	7	used	use	VERB
ejpam-4765	29	8	by	by	ADP
ejpam-4765	29	9	economists	economist	NOUN
ejpam-4765	29	10	and	and	CCONJ
ejpam-4765	29	11	sociologists	sociologist	NOUN
ejpam-4765	29	12	to	to	PART
ejpam-4765	29	13	measure	measure	VERB
ejpam-4765	29	14	economic	economic	ADJ
ejpam-4765	29	15	inequality	inequality	NOUN
ejpam-4765	29	16	.	.	PUNCT
ejpam-4765	30	1	it	it	PRON
ejpam-4765	30	2	has	have	AUX
ejpam-4765	30	3	been	be	AUX
ejpam-4765	30	4	also	also	ADV
ejpam-4765	30	5	studied	study	VERB
ejpam-4765	30	6	extensively	extensively	ADV
ejpam-4765	30	7	and	and	CCONJ
ejpam-4765	30	8	its	its	PRON
ejpam-4765	30	9	properties	property	NOUN
ejpam-4765	30	10	documented	document	VERB
ejpam-4765	30	11	in	in	ADP
ejpam-4765	30	12	a	a	DET
ejpam-4765	30	13	number	number	NOUN
ejpam-4765	30	14	of	of	ADP
ejpam-4765	30	15	papers	paper	NOUN
ejpam-4765	30	16	(	(	PUNCT
ejpam-4765	30	17	see	see	VERB
ejpam-4765	30	18	e.g.	e.g.	ADV
ejpam-4765	30	19	the	the	DET
ejpam-4765	30	20	survey	survey	NOUN
ejpam-4765	30	21	papers	paper	NOUN
ejpam-4765	30	22	[	[	X
ejpam-4765	30	23	31	31	NUM
ejpam-4765	30	24	]	]	PUNCT
ejpam-4765	30	25	,	,	PUNCT
ejpam-4765	30	26	[	[	X
ejpam-4765	30	27	43	43	NUM
ejpam-4765	30	28	]	]	PUNCT
ejpam-4765	30	29	,	,	PUNCT
ejpam-4765	30	30	...	...	PUNCT
ejpam-4765	30	31	)	)	PUNCT
ejpam-4765	30	32	.	.	PUNCT
ejpam-4765	31	1	also	also	ADV
ejpam-4765	31	2	,	,	PUNCT
ejpam-4765	31	3	[	[	X
ejpam-4765	31	4	44	44	NUM
ejpam-4765	31	5	]	]	PUNCT
ejpam-4765	31	6	suggested	suggest	VERB
ejpam-4765	31	7	the	the	DET
ejpam-4765	31	8	zenga	zenga	PROPN
ejpam-4765	31	9	index	index	NOUN
ejpam-4765	31	10	of	of	ADP
ejpam-4765	31	11	inequality	inequality	NOUN
ejpam-4765	31	12	measure	measure	NOUN
ejpam-4765	31	13	,	,	PUNCT
ejpam-4765	31	14	which	which	PRON
ejpam-4765	31	15	aggregates	aggregate	VERB
ejpam-4765	31	16	the	the	DET
ejpam-4765	31	17	ratios	ratio	NOUN
ejpam-4765	31	18	of	of	ADP
ejpam-4765	31	19	lower	low	ADJ
ejpam-4765	31	20	and	and	CCONJ
ejpam-4765	31	21	upper	upper	ADJ
ejpam-4765	31	22	conditional	conditional	ADJ
ejpam-4765	31	23	tail	tail	NOUN
ejpam-4765	31	24	expectations	expectation	NOUN
ejpam-4765	31	25	,	,	PUNCT
ejpam-4765	31	26	and	and	CCONJ
ejpam-4765	31	27	by	by	ADP
ejpam-4765	31	28	so	so	ADV
ejpam-4765	31	29	doing	do	VERB
ejpam-4765	31	30	takes	take	VERB
ejpam-4765	31	31	into	into	ADP
ejpam-4765	31	32	account	account	NOUN
ejpam-4765	31	33	the	the	DET
ejpam-4765	31	34	relative	relative	ADJ
ejpam-4765	31	35	nature	nature	NOUN
ejpam-4765	31	36	of	of	ADP
ejpam-4765	31	37	the	the	DET
ejpam-4765	31	38	poor	poor	ADJ
ejpam-4765	31	39	and	and	CCONJ
ejpam-4765	31	40	the	the	DET
ejpam-4765	31	41	rich	rich	ADJ
ejpam-4765	31	42	for	for	ADP
ejpam-4765	31	43	a	a	DET
ejpam-4765	31	44	given	give	VERB
ejpam-4765	31	45	population	population	NOUN
ejpam-4765	31	46	.	.	PUNCT
ejpam-4765	32	1	it	it	PRON
ejpam-4765	32	2	has	have	AUX
ejpam-4765	32	3	been	be	AUX
ejpam-4765	32	4	also	also	ADV
ejpam-4765	32	5	explored	explore	VERB
ejpam-4765	32	6	from	from	ADP
ejpam-4765	32	7	various	various	ADJ
ejpam-4765	32	8	points	point	NOUN
ejpam-4765	32	9	of	of	ADP
ejpam-4765	32	10	view	view	NOUN
ejpam-4765	32	11	,	,	PUNCT
ejpam-4765	32	12	see	see	VERB
ejpam-4765	32	13	,	,	PUNCT
ejpam-4765	32	14	eg	eg	NOUN
ejpam-4765	32	15	.	.	PUNCT
ejpam-4765	33	1	[	[	X
ejpam-4765	33	2	22	22	NUM
ejpam-4765	33	3	]	]	PUNCT
ejpam-4765	33	4	,	,	PUNCT
ejpam-4765	33	5	[	[	X
ejpam-4765	33	6	23	23	NUM
ejpam-4765	33	7	]	]	PUNCT
ejpam-4765	33	8	,	,	PUNCT
ejpam-4765	33	9	[	[	X
ejpam-4765	33	10	24	24	NUM
ejpam-4765	33	11	]	]	PUNCT
ejpam-4765	33	12	and	and	CCONJ
ejpam-4765	33	13	[	[	X
ejpam-4765	33	14	25	25	NUM
ejpam-4765	33	15	]	]	PUNCT
ejpam-4765	33	16	.	.	PUNCT
ejpam-4765	34	1	another	another	DET
ejpam-4765	34	2	trend	trend	NOUN
ejpam-4765	34	3	,	,	PUNCT
ejpam-4765	34	4	somewhat	somewhat	ADV
ejpam-4765	34	5	different	different	ADJ
ejpam-4765	34	6	from	from	ADP
ejpam-4765	34	7	zenga	zenga	NOUN
ejpam-4765	34	8	’s	’s	PART
ejpam-4765	34	9	but	but	CCONJ
ejpam-4765	34	10	equally	equally	ADV
ejpam-4765	34	11	interesting	interesting	ADJ
ejpam-4765	34	12	,	,	PUNCT
ejpam-4765	34	13	which	which	PRON
ejpam-4765	34	14	is	be	AUX
ejpam-4765	34	15	based	base	VERB
ejpam-4765	34	16	on	on	ADP
ejpam-4765	34	17	the	the	DET
ejpam-4765	34	18	palma	palma	PROPN
ejpam-4765	34	19	index	index	NOUN
ejpam-4765	34	20	,	,	PUNCT
ejpam-4765	34	21	is	be	AUX
ejpam-4765	34	22	considered	consider	VERB
ejpam-4765	34	23	in	in	ADP
ejpam-4765	34	24	,	,	PUNCT
ejpam-4765	34	25	e.g.	e.g.	ADV
ejpam-4765	34	26	[	[	X
ejpam-4765	34	27	7	7	NUM
ejpam-4765	34	28	]	]	PUNCT
ejpam-4765	34	29	.	.	PUNCT
ejpam-4765	35	1	the	the	DET
ejpam-4765	35	2	quintile	quintile	NOUN
ejpam-4765	35	3	share	share	NOUN
ejpam-4765	35	4	ratio	ratio	NOUN
ejpam-4765	35	5	(	(	PUNCT
ejpam-4765	35	6	qsr	qsr	PROPN
ejpam-4765	35	7	)	)	PUNCT
ejpam-4765	35	8	is	be	AUX
ejpam-4765	35	9	a	a	DET
ejpam-4765	35	10	recently	recently	ADV
ejpam-4765	35	11	introduced	introduce	VERB
ejpam-4765	35	12	measure	measure	NOUN
ejpam-4765	35	13	of	of	ADP
ejpam-4765	35	14	income	income	NOUN
ejpam-4765	35	15	inequality	inequality	NOUN
ejpam-4765	35	16	,	,	PUNCT
ejpam-4765	35	17	also	also	ADV
ejpam-4765	35	18	forming	form	VERB
ejpam-4765	35	19	part	part	NOUN
ejpam-4765	35	20	of	of	ADP
ejpam-4765	35	21	the	the	DET
ejpam-4765	35	22	european	european	ADJ
ejpam-4765	35	23	laeken	laeken	PROPN
ejpam-4765	35	24	indicators	indicator	NOUN
ejpam-4765	35	25	which	which	PRON
ejpam-4765	35	26	cover	cover	VERB
ejpam-4765	35	27	four	four	NUM
ejpam-4765	35	28	important	important	ADJ
ejpam-4765	35	29	dimensions	dimension	NOUN
ejpam-4765	35	30	of	of	ADP
ejpam-4765	35	31	social	social	ADJ
ejpam-4765	35	32	inclusion	inclusion	NOUN
ejpam-4765	35	33	(	(	PUNCT
ejpam-4765	35	34	financial	financial	ADJ
ejpam-4765	35	35	poverty	poverty	NOUN
ejpam-4765	35	36	,	,	PUNCT
ejpam-4765	35	37	employment	employment	NOUN
ejpam-4765	35	38	,	,	PUNCT
ejpam-4765	35	39	health	health	NOUN
ejpam-4765	35	40	and	and	CCONJ
ejpam-4765	35	41	education	education	NOUN
ejpam-4765	35	42	)	)	PUNCT
ejpam-4765	35	43	.	.	PUNCT
ejpam-4765	36	1	in	in	ADP
ejpam-4765	36	2	2001	2001	NUM
ejpam-4765	36	3	,	,	PUNCT
ejpam-4765	36	4	the	the	DET
ejpam-4765	36	5	european	european	PROPN
ejpam-4765	36	6	council	council	PROPN
ejpam-4765	36	7	decided	decide	VERB
ejpam-4765	36	8	that	that	SCONJ
ejpam-4765	36	9	income	income	NOUN
ejpam-4765	36	10	inequality	inequality	NOUN
ejpam-4765	36	11	in	in	ADP
ejpam-4765	36	12	the	the	DET
ejpam-4765	36	13	european	european	PROPN
ejpam-4765	36	14	union	union	PROPN
ejpam-4765	36	15	(	(	PUNCT
ejpam-4765	36	16	eu	eu	PROPN
ejpam-4765	36	17	)	)	PUNCT
ejpam-4765	36	18	member	member	NOUN
ejpam-4765	36	19	states	state	NOUN
ejpam-4765	36	20	should	should	AUX
ejpam-4765	36	21	be	be	AUX
ejpam-4765	36	22	described	describe	VERB
ejpam-4765	36	23	using	use	VERB
ejpam-4765	36	24	a	a	DET
ejpam-4765	36	25	number	number	NOUN
ejpam-4765	36	26	of	of	ADP
ejpam-4765	36	27	indicators	indicator	NOUN
ejpam-4765	36	28	including	include	VERB
ejpam-4765	36	29	the	the	DET
ejpam-4765	36	30	quintile	quintile	NOUN
ejpam-4765	36	31	share	share	PROPN
ejpam-4765	36	32	ratio	ratio	PROPN
ejpam-4765	36	33	index	index	PROPN
ejpam-4765	36	34	.	.	PUNCT
ejpam-4765	37	1	compared	compare	VERB
ejpam-4765	37	2	to	to	ADP
ejpam-4765	37	3	the	the	DET
ejpam-4765	37	4	gini	gini	PROPN
ejpam-4765	37	5	index	index	PROPN
ejpam-4765	37	6	,	,	PUNCT
ejpam-4765	37	7	relatively	relatively	ADV
ejpam-4765	37	8	little	little	ADJ
ejpam-4765	37	9	research	research	NOUN
ejpam-4765	37	10	is	be	AUX
ejpam-4765	37	11	available	available	ADJ
ejpam-4765	37	12	on	on	ADP
ejpam-4765	37	13	the	the	DET
ejpam-4765	37	14	statistical	statistical	ADJ
ejpam-4765	37	15	inference	inference	NOUN
ejpam-4765	37	16	of	of	ADP
ejpam-4765	37	17	the	the	DET
ejpam-4765	37	18	qsr	qsr	PROPN
ejpam-4765	37	19	index	index	NOUN
ejpam-4765	37	20	.	.	PUNCT
ejpam-4765	38	1	[	[	X
ejpam-4765	38	2	32	32	NUM
ejpam-4765	38	3	]	]	PUNCT
ejpam-4765	38	4	investigated	investigate	VERB
ejpam-4765	38	5	the	the	DET
ejpam-4765	38	6	qsr	qsr	PROPN
ejpam-4765	38	7	and	and	CCONJ
ejpam-4765	38	8	established	establish	VERB
ejpam-4765	38	9	its	its	PRON
ejpam-4765	38	10	variance	variance	NOUN
ejpam-4765	38	11	in	in	ADP
ejpam-4765	38	12	a	a	DET
ejpam-4765	38	13	complex	complex	ADJ
ejpam-4765	38	14	sampling	sample	VERB
ejpam-4765	38	15	design	design	NOUN
ejpam-4765	38	16	framework	framework	NOUN
ejpam-4765	38	17	.	.	PUNCT
ejpam-4765	39	1	the	the	DET
ejpam-4765	39	2	authors	author	NOUN
ejpam-4765	39	3	upgraded	upgrade	VERB
ejpam-4765	39	4	on	on	ADP
ejpam-4765	39	5	earlier	early	ADJ
ejpam-4765	39	6	work	work	NOUN
ejpam-4765	39	7	by	by	ADP
ejpam-4765	39	8	[	[	X
ejpam-4765	39	9	35	35	NUM
ejpam-4765	39	10	]	]	PUNCT
ejpam-4765	39	11	and	and	CCONJ
ejpam-4765	39	12	[	[	X
ejpam-4765	39	13	36	36	NUM
ejpam-4765	39	14	]	]	PUNCT
ejpam-4765	39	15	.	.	PUNCT
ejpam-4765	40	1	as	as	SCONJ
ejpam-4765	40	2	is	be	AUX
ejpam-4765	40	3	to	to	PART
ejpam-4765	40	4	be	be	AUX
ejpam-4765	40	5	expected	expect	VERB
ejpam-4765	40	6	from	from	ADP
ejpam-4765	40	7	its	its	PRON
ejpam-4765	40	8	definition	definition	NOUN
ejpam-4765	40	9	,	,	PUNCT
ejpam-4765	40	10	the	the	DET
ejpam-4765	40	11	influence	influence	NOUN
ejpam-4765	40	12	function	function	NOUN
ejpam-4765	40	13	of	of	ADP
ejpam-4765	40	14	the	the	DET
ejpam-4765	40	15	qsr	qsr	NOUN
ejpam-4765	40	16	is	be	AUX
ejpam-4765	40	17	unbounded	unbounded	ADJ
ejpam-4765	40	18	.	.	PUNCT
ejpam-4765	41	1	the	the	DET
ejpam-4765	41	2	form	form	NOUN
ejpam-4765	41	3	of	of	ADP
ejpam-4765	41	4	that	that	DET
ejpam-4765	41	5	influence	influence	NOUN
ejpam-4765	41	6	function	function	NOUN
ejpam-4765	41	7	has	have	AUX
ejpam-4765	41	8	been	be	AUX
ejpam-4765	41	9	also	also	ADV
ejpam-4765	41	10	derived	derive	VERB
ejpam-4765	41	11	by	by	ADP
ejpam-4765	41	12	[	[	X
ejpam-4765	41	13	30	30	NUM
ejpam-4765	41	14	]	]	PUNCT
ejpam-4765	41	15	.	.	PUNCT
ejpam-4765	42	1	also	also	ADV
ejpam-4765	42	2	,	,	PUNCT
ejpam-4765	42	3	[	[	X
ejpam-4765	42	4	29	29	NUM
ejpam-4765	42	5	]	]	PUNCT
ejpam-4765	42	6	derived	derive	VERB
ejpam-4765	42	7	the	the	DET
ejpam-4765	42	8	asymptotic	asymptotic	ADJ
ejpam-4765	42	9	distribution	distribution	NOUN
ejpam-4765	42	10	of	of	ADP
ejpam-4765	42	11	a	a	DET
ejpam-4765	42	12	non	non	ADJ
ejpam-4765	42	13	-	-	ADJ
ejpam-4765	42	14	parametric	parametric	ADJ
ejpam-4765	42	15	plug	plug	VERB
ejpam-4765	42	16	-	-	PUNCT
ejpam-4765	42	17	in	in	ADP
ejpam-4765	42	18	estimator	estimator	NOUN
ejpam-4765	42	19	for	for	ADP
ejpam-4765	42	20	the	the	DET
ejpam-4765	42	21	qsr	qsr	PROPN
ejpam-4765	42	22	index	index	NOUN
ejpam-4765	42	23	.	.	PUNCT
ejpam-4765	43	1	however	however	ADV
ejpam-4765	43	2	,	,	PUNCT
ejpam-4765	43	3	this	this	DET
ejpam-4765	43	4	estimation	estimation	NOUN
ejpam-4765	43	5	suffers	suffer	VERB
ejpam-4765	43	6	badly	badly	ADV
ejpam-4765	43	7	from	from	ADP
ejpam-4765	43	8	under	under	ADP
ejpam-4765	43	9	coverage	coverage	NOUN
ejpam-4765	43	10	,	,	PUNCT
ejpam-4765	43	11	and	and	CCONJ
ejpam-4765	43	12	so	so	ADV
ejpam-4765	43	13	we	we	PRON
ejpam-4765	43	14	can	can	AUX
ejpam-4765	43	15	not	not	PART
ejpam-4765	43	16	rely	rely	VERB
ejpam-4765	43	17	on	on	ADP
ejpam-4765	43	18	the	the	DET
ejpam-4765	43	19	non	non	ADJ
ejpam-4765	43	20	-	-	ADJ
ejpam-4765	43	21	parametric	parametric	ADJ
ejpam-4765	43	22	estimator	estimator	NOUN
ejpam-4765	43	23	.	.	PUNCT
ejpam-4765	44	1	hence	hence	ADV
ejpam-4765	44	2	,	,	PUNCT
ejpam-4765	44	3	we	we	PRON
ejpam-4765	44	4	need	need	VERB
ejpam-4765	44	5	another	another	DET
ejpam-4765	44	6	estimator	estimator	NOUN
ejpam-4765	44	7	in	in	ADP
ejpam-4765	44	8	the	the	DET
ejpam-4765	44	9	case	case	NOUN
ejpam-4765	44	10	of	of	ADP
ejpam-4765	44	11	heavy	heavy	ADJ
ejpam-4765	44	12	-	-	PUNCT
ejpam-4765	44	13	tailed	tail	VERB
ejpam-4765	44	14	populations	population	NOUN
ejpam-4765	44	15	.	.	PUNCT
ejpam-4765	45	1	this	this	PRON
ejpam-4765	45	2	is	be	AUX
ejpam-4765	45	3	the	the	DET
ejpam-4765	45	4	reason	reason	NOUN
ejpam-4765	45	5	why	why	SCONJ
ejpam-4765	45	6	we	we	PRON
ejpam-4765	45	7	introduce	introduce	VERB
ejpam-4765	45	8	,	,	PUNCT
ejpam-4765	45	9	in	in	ADP
ejpam-4765	45	10	this	this	DET
ejpam-4765	45	11	paper	paper	NOUN
ejpam-4765	45	12	,	,	PUNCT
ejpam-4765	45	13	a	a	DET
ejpam-4765	45	14	class	class	NOUN
ejpam-4765	45	15	of	of	ADP
ejpam-4765	45	16	semi	semi	ADJ
ejpam-4765	45	17	-	-	ADJ
ejpam-4765	45	18	parametric	parametric	ADJ
ejpam-4765	45	19	estimators	estimator	NOUN
ejpam-4765	45	20	of	of	ADP
ejpam-4765	45	21	the	the	DET
ejpam-4765	45	22	qsr	qsr	PROPN
ejpam-4765	45	23	index	index	NOUN
ejpam-4765	45	24	of	of	ADP
ejpam-4765	45	25	inequality	inequality	NOUN
ejpam-4765	45	26	measure	measure	NOUN
ejpam-4765	45	27	for	for	ADP
ejpam-4765	45	28	heavy	heavy	ADJ
ejpam-4765	45	29	-	-	PUNCT
ejpam-4765	45	30	tailed	tail	VERB
ejpam-4765	45	31	inm	inm	NOUN
ejpam-4765	45	32	.	.	PUNCT
ejpam-4765	46	1	kebe	kebe	PROPN
ejpam-4765	46	2	et	et	PROPN
ejpam-4765	46	3	al	al	PROPN
ejpam-4765	46	4	.	.	PUNCT
ejpam-4765	46	5	/	/	SYM
ejpam-4765	46	6	eur	eur	PROPN
ejpam-4765	46	7	.	.	PUNCT
ejpam-4765	47	1	j.	j.	PROPN
ejpam-4765	47	2	pure	pure	PROPN
ejpam-4765	47	3	appl	appl	PROPN
ejpam-4765	47	4	.	.	PROPN
ejpam-4765	47	5	math	math	PROPN
ejpam-4765	47	6	,	,	PUNCT
ejpam-4765	47	7	16	16	NUM
ejpam-4765	47	8	(	(	PUNCT
ejpam-4765	47	9	4	4	NUM
ejpam-4765	47	10	)	)	PUNCT
ejpam-4765	47	11	(	(	PUNCT
ejpam-4765	47	12	2023	2023	NUM
ejpam-4765	47	13	)	)	PUNCT
ejpam-4765	47	14	,	,	PUNCT
ejpam-4765	47	15	2509	2509	NUM
ejpam-4765	47	16	-	-	SYM
ejpam-4765	47	17	2543	2543	NUM
ejpam-4765	47	18	2511	2511	NUM
ejpam-4765	47	19	come	come	VERB
ejpam-4765	47	20	distributions	distribution	NOUN
ejpam-4765	47	21	.	.	PUNCT
ejpam-4765	48	1	our	our	PRON
ejpam-4765	48	2	consideration	consideration	NOUN
ejpam-4765	48	3	is	be	AUX
ejpam-4765	48	4	based	base	VERB
ejpam-4765	48	5	on	on	ADP
ejpam-4765	48	6	the	the	DET
ejpam-4765	48	7	extreme	extreme	ADJ
ejpam-4765	48	8	value	value	NOUN
ejpam-4765	48	9	methodology	methodology	NOUN
ejpam-4765	48	10	,	,	PUNCT
ejpam-4765	48	11	which	which	PRON
ejpam-4765	48	12	offers	offer	VERB
ejpam-4765	48	13	adequate	adequate	ADJ
ejpam-4765	48	14	statistical	statistical	ADJ
ejpam-4765	48	15	tools	tool	NOUN
ejpam-4765	48	16	for	for	ADP
ejpam-4765	48	17	such	such	ADJ
ejpam-4765	48	18	distributions	distribution	NOUN
ejpam-4765	48	19	.	.	PUNCT
ejpam-4765	49	1	this	this	DET
ejpam-4765	49	2	paper	paper	NOUN
ejpam-4765	49	3	is	be	AUX
ejpam-4765	49	4	organised	organise	VERB
ejpam-4765	49	5	as	as	SCONJ
ejpam-4765	49	6	follows	follow	VERB
ejpam-4765	49	7	.	.	PUNCT
ejpam-4765	50	1	in	in	ADP
ejpam-4765	50	2	section	section	NOUN
ejpam-4765	50	3	2	2	NUM
ejpam-4765	50	4	,	,	PUNCT
ejpam-4765	50	5	we	we	PRON
ejpam-4765	50	6	shall	shall	AUX
ejpam-4765	50	7	recall	recall	VERB
ejpam-4765	50	8	the	the	DET
ejpam-4765	50	9	definition	definition	NOUN
ejpam-4765	50	10	of	of	ADP
ejpam-4765	50	11	the	the	DET
ejpam-4765	50	12	qsr	qsr	PROPN
ejpam-4765	50	13	index	index	NOUN
ejpam-4765	50	14	by	by	ADP
ejpam-4765	50	15	presenting	present	VERB
ejpam-4765	50	16	it	it	PRON
ejpam-4765	50	17	in	in	ADP
ejpam-4765	50	18	terms	term	NOUN
ejpam-4765	50	19	of	of	ADP
ejpam-4765	50	20	upper	upper	ADJ
ejpam-4765	50	21	and	and	CCONJ
ejpam-4765	50	22	lower	low	ADJ
ejpam-4765	50	23	integrals	integral	NOUN
ejpam-4765	50	24	.	.	PUNCT
ejpam-4765	51	1	also	also	ADV
ejpam-4765	51	2	,	,	PUNCT
ejpam-4765	51	3	we	we	PRON
ejpam-4765	51	4	shall	shall	AUX
ejpam-4765	51	5	briefly	briefly	ADV
ejpam-4765	51	6	consider	consider	VERB
ejpam-4765	51	7	a	a	DET
ejpam-4765	51	8	non	non	ADJ
ejpam-4765	51	9	-	-	ADJ
ejpam-4765	51	10	parametric	parametric	ADJ
ejpam-4765	51	11	estimator	estimator	NOUN
ejpam-4765	51	12	of	of	ADP
ejpam-4765	51	13	the	the	DET
ejpam-4765	51	14	qsr	qsr	PROPN
ejpam-4765	51	15	index	index	NOUN
ejpam-4765	51	16	which	which	PRON
ejpam-4765	51	17	is	be	AUX
ejpam-4765	51	18	obtained	obtain	VERB
ejpam-4765	51	19	by	by	ADP
ejpam-4765	51	20	replacing	replace	VERB
ejpam-4765	51	21	the	the	DET
ejpam-4765	51	22	underlying	underlie	VERB
ejpam-4765	51	23	cumulative	cumulative	ADJ
ejpam-4765	51	24	distribution	distribution	NOUN
ejpam-4765	51	25	function	function	NOUN
ejpam-4765	51	26	(	(	PUNCT
ejpam-4765	51	27	cdf	cdf	PROPN
ejpam-4765	51	28	)	)	PUNCT
ejpam-4765	51	29	of	of	ADP
ejpam-4765	51	30	the	the	DET
ejpam-4765	51	31	population	population	NOUN
ejpam-4765	51	32	by	by	ADP
ejpam-4765	51	33	its	its	PRON
ejpam-4765	51	34	empirical	empirical	ADJ
ejpam-4765	51	35	counterpart	counterpart	NOUN
ejpam-4765	51	36	.	.	PUNCT
ejpam-4765	52	1	as	as	SCONJ
ejpam-4765	52	2	this	this	DET
ejpam-4765	52	3	estimator	estimator	NOUN
ejpam-4765	52	4	does	do	AUX
ejpam-4765	52	5	not	not	PART
ejpam-4765	52	6	exhibit	exhibit	VERB
ejpam-4765	52	7	,	,	PUNCT
ejpam-4765	52	8	satisfactory	satisfactory	ADJ
ejpam-4765	52	9	performance	performance	NOUN
ejpam-4765	52	10	in	in	ADP
ejpam-4765	52	11	heavy	heavy	ADJ
ejpam-4765	52	12	-	-	PUNCT
ejpam-4765	52	13	tailed	tail	VERB
ejpam-4765	52	14	populations	population	NOUN
ejpam-4765	52	15	,	,	PUNCT
ejpam-4765	52	16	we	we	PRON
ejpam-4765	52	17	introduce	introduce	VERB
ejpam-4765	52	18	,	,	PUNCT
ejpam-4765	52	19	in	in	ADP
ejpam-4765	52	20	section	section	NOUN
ejpam-4765	52	21	3	3	NUM
ejpam-4765	52	22	,	,	PUNCT
ejpam-4765	52	23	a	a	DET
ejpam-4765	52	24	class	class	NOUN
ejpam-4765	52	25	of	of	ADP
ejpam-4765	52	26	semi	semi	ADJ
ejpam-4765	52	27	-	-	ADJ
ejpam-4765	52	28	parametric	parametric	ADJ
ejpam-4765	52	29	estimators	estimator	NOUN
ejpam-4765	52	30	of	of	ADP
ejpam-4765	52	31	the	the	DET
ejpam-4765	52	32	qsr	qsr	PROPN
ejpam-4765	52	33	index	index	NOUN
ejpam-4765	52	34	of	of	ADP
ejpam-4765	52	35	economic	economic	ADJ
ejpam-4765	52	36	inequality	inequality	NOUN
ejpam-4765	52	37	for	for	ADP
ejpam-4765	52	38	heavy	heavy	ADJ
ejpam-4765	52	39	-	-	PUNCT
ejpam-4765	52	40	tailed	tail	VERB
ejpam-4765	52	41	income	income	NOUN
ejpam-4765	52	42	distributions	distribution	NOUN
ejpam-4765	52	43	.	.	PUNCT
ejpam-4765	53	1	through	through	ADP
ejpam-4765	53	2	the	the	DET
ejpam-4765	53	3	extreme	extreme	ADJ
ejpam-4765	53	4	value	value	NOUN
ejpam-4765	53	5	methodology	methodology	NOUN
ejpam-4765	53	6	,	,	PUNCT
ejpam-4765	53	7	we	we	PRON
ejpam-4765	53	8	establish	establish	VERB
ejpam-4765	53	9	their	their	PRON
ejpam-4765	53	10	asymptotic	asymptotic	ADJ
ejpam-4765	53	11	distribution	distribution	NOUN
ejpam-4765	53	12	,	,	PUNCT
ejpam-4765	53	13	and	and	CCONJ
ejpam-4765	53	14	derived	derive	VERB
ejpam-4765	53	15	their	their	PRON
ejpam-4765	53	16	improved	improve	VERB
ejpam-4765	53	17	results	result	NOUN
ejpam-4765	53	18	in	in	ADP
ejpam-4765	53	19	section	section	NOUN
ejpam-4765	53	20	4	4	NUM
ejpam-4765	53	21	.	.	PUNCT
ejpam-4765	54	1	under	under	ADP
ejpam-4765	54	2	a	a	DET
ejpam-4765	54	3	simulation	simulation	NOUN
ejpam-4765	54	4	study	study	NOUN
ejpam-4765	54	5	,	,	PUNCT
ejpam-4765	54	6	we	we	PRON
ejpam-4765	54	7	illustrate	illustrate	VERB
ejpam-4765	54	8	their	their	PRON
ejpam-4765	54	9	behavior	behavior	NOUN
ejpam-4765	54	10	in	in	ADP
ejpam-4765	54	11	terms	term	NOUN
ejpam-4765	54	12	of	of	ADP
ejpam-4765	54	13	the	the	DET
ejpam-4765	54	14	absolute	absolute	ADJ
ejpam-4765	54	15	bias	bias	NOUN
ejpam-4765	54	16	and	and	CCONJ
ejpam-4765	54	17	the	the	DET
ejpam-4765	54	18	median	median	ADJ
ejpam-4765	54	19	squared	square	VERB
ejpam-4765	54	20	error	error	NOUN
ejpam-4765	54	21	in	in	ADP
ejpam-4765	54	22	section	section	NOUN
ejpam-4765	54	23	5	5	NUM
ejpam-4765	54	24	.	.	NOUN
ejpam-4765	54	25	2	2	NUM
ejpam-4765	54	26	.	.	X
ejpam-4765	54	27	definitions	definition	NOUN
ejpam-4765	54	28	and	and	CCONJ
ejpam-4765	54	29	empirical	empirical	ADJ
ejpam-4765	54	30	estimation	estimation	NOUN
ejpam-4765	54	31	suppose	suppose	VERB
ejpam-4765	54	32	that	that	SCONJ
ejpam-4765	54	33	we	we	PRON
ejpam-4765	54	34	have	have	VERB
ejpam-4765	54	35	at	at	ADP
ejpam-4765	54	36	our	our	PRON
ejpam-4765	54	37	disposal	disposal	NOUN
ejpam-4765	54	38	a	a	DET
ejpam-4765	54	39	sample	sample	NOUN
ejpam-4765	54	40	(	(	PUNCT
ejpam-4765	54	41	x1	x1	PROPN
ejpam-4765	54	42	,	,	PUNCT
ejpam-4765	54	43	·	·	PUNCT
ejpam-4765	54	44	·	·	PUNCT
ejpam-4765	54	45	·	·	PUNCT
ejpam-4765	54	46	,	,	PUNCT
ejpam-4765	54	47	xn	xn	PROPN
ejpam-4765	54	48	)	)	PUNCT
ejpam-4765	54	49	,	,	PUNCT
ejpam-4765	54	50	n	n	CCONJ
ejpam-4765	54	51	>	>	X
ejpam-4765	54	52	1	1	NUM
ejpam-4765	54	53	of	of	ADP
ejpam-4765	54	54	independent	independent	ADJ
ejpam-4765	54	55	and	and	CCONJ
ejpam-4765	54	56	identically	identically	ADV
ejpam-4765	54	57	distributed	distribute	VERB
ejpam-4765	54	58	in	in	ADP
ejpam-4765	54	59	a	a	DET
ejpam-4765	54	60	population	population	NOUN
ejpam-4765	54	61	represented	represent	VERB
ejpam-4765	54	62	by	by	ADP
ejpam-4765	54	63	a	a	DET
ejpam-4765	54	64	non	non	ADJ
ejpam-4765	54	65	-	-	ADJ
ejpam-4765	54	66	negative	negative	ADJ
ejpam-4765	54	67	random	random	ADJ
ejpam-4765	54	68	variable	variable	NOUN
ejpam-4765	54	69	x	x	X
ejpam-4765	54	70	≥	≥	NOUN
ejpam-4765	54	71	0	0	NUM
ejpam-4765	54	72	,	,	PUNCT
ejpam-4765	54	73	with	with	ADP
ejpam-4765	54	74	capital	capital	NOUN
ejpam-4765	54	75	income	income	NOUN
ejpam-4765	54	76	distribution	distribution	NOUN
ejpam-4765	54	77	f	f	X
ejpam-4765	54	78	(	(	PUNCT
ejpam-4765	54	79	x	x	X
ejpam-4765	54	80	)	)	PUNCT
ejpam-4765	54	81	=	=	PUNCT
ejpam-4765	54	82	p(x	p(x	VERB
ejpam-4765	54	83	≤	≤	NUM
ejpam-4765	54	84	x	x	NOUN
ejpam-4765	54	85	)	)	PUNCT
ejpam-4765	54	86	and	and	CCONJ
ejpam-4765	54	87	finite	finite	PROPN
ejpam-4765	54	88	mean	mean	VERB
ejpam-4765	54	89	µf	µf	ADP
ejpam-4765	54	90	:	:	PUNCT
ejpam-4765	55	1	=	=	SYM
ejpam-4765	55	2	e[x	e[x	NOUN
ejpam-4765	55	3	]	]	PUNCT
ejpam-4765	55	4	.	.	PUNCT
ejpam-4765	56	1	we	we	PRON
ejpam-4765	56	2	assume	assume	VERB
ejpam-4765	56	3	that	that	SCONJ
ejpam-4765	56	4	f	f	PROPN
ejpam-4765	56	5	is	be	AUX
ejpam-4765	56	6	continuous	continuous	ADJ
ejpam-4765	56	7	and	and	CCONJ
ejpam-4765	56	8	strictly	strictly	ADV
ejpam-4765	56	9	increasing	increase	VERB
ejpam-4765	56	10	.	.	PUNCT
ejpam-4765	57	1	the	the	DET
ejpam-4765	57	2	(	(	PUNCT
ejpam-4765	57	3	generalized	generalized	ADJ
ejpam-4765	57	4	)	)	PUNCT
ejpam-4765	57	5	inverse	inverse	NOUN
ejpam-4765	57	6	q	q	NOUN
ejpam-4765	57	7	:	:	PUNCT
ejpam-4765	58	1	[	[	X
ejpam-4765	58	2	0	0	NUM
ejpam-4765	58	3	,	,	PUNCT
ejpam-4765	58	4	1	1	NUM
ejpam-4765	58	5	)	)	PUNCT
ejpam-4765	58	6	7→	7→	NUM
ejpam-4765	59	1	[	[	X
ejpam-4765	59	2	0,∞	0,∞	NOUN
ejpam-4765	59	3	)	)	PUNCT
ejpam-4765	59	4	of	of	ADP
ejpam-4765	59	5	the	the	DET
ejpam-4765	59	6	income	income	NOUN
ejpam-4765	59	7	distribution	distribution	NOUN
ejpam-4765	59	8	f	f	PROPN
ejpam-4765	59	9	,	,	PUNCT
ejpam-4765	59	10	known	know	VERB
ejpam-4765	59	11	in	in	ADP
ejpam-4765	59	12	the	the	DET
ejpam-4765	59	13	literature	literature	NOUN
ejpam-4765	59	14	as	as	ADP
ejpam-4765	59	15	the	the	DET
ejpam-4765	59	16	quantile	quantile	ADJ
ejpam-4765	59	17	function	function	NOUN
ejpam-4765	59	18	,	,	PUNCT
ejpam-4765	59	19	is	be	AUX
ejpam-4765	59	20	defined	define	VERB
ejpam-4765	59	21	for	for	ADP
ejpam-4765	59	22	all	all	DET
ejpam-4765	59	23	s	s	PART
ejpam-4765	59	24	∈	∈	NOUN
ejpam-4765	60	1	[	[	X
ejpam-4765	60	2	0	0	NUM
ejpam-4765	60	3	,	,	PUNCT
ejpam-4765	60	4	1	1	NUM
ejpam-4765	60	5	)	)	PUNCT
ejpam-4765	60	6	by	by	ADP
ejpam-4765	60	7	the	the	DET
ejpam-4765	60	8	formula	formula	NOUN
ejpam-4765	60	9	q(s	q(s	NOUN
ejpam-4765	60	10	)	)	PUNCT
ejpam-4765	60	11	=	=	PUNCT
ejpam-4765	60	12	inf{x	inf{x	NOUN
ejpam-4765	60	13	,	,	PUNCT
ejpam-4765	60	14	f	f	PROPN
ejpam-4765	60	15	(	(	PUNCT
ejpam-4765	60	16	x	x	NOUN
ejpam-4765	60	17	)	)	PUNCT
ejpam-4765	60	18	≥	≥	NUM
ejpam-4765	60	19	s	s	NOUN
ejpam-4765	60	20	}	}	PUNCT
ejpam-4765	60	21	.	.	PUNCT
ejpam-4765	61	1	considering	consider	VERB
ejpam-4765	61	2	two	two	NUM
ejpam-4765	61	3	different	different	ADJ
ejpam-4765	61	4	levels	level	NOUN
ejpam-4765	61	5	α	α	NOUN
ejpam-4765	61	6	and	and	CCONJ
ejpam-4765	61	7	β	β	NOUN
ejpam-4765	61	8	,	,	PUNCT
ejpam-4765	61	9	such	such	ADJ
ejpam-4765	61	10	that	that	SCONJ
ejpam-4765	61	11	0	0	NUM
ejpam-4765	61	12	<	<	X
ejpam-4765	61	13	α	α	X
ejpam-4765	61	14	<	<	X
ejpam-4765	61	15	β	β	X
ejpam-4765	61	16	<	<	X
ejpam-4765	61	17	1	1	NUM
ejpam-4765	61	18	as	as	SCONJ
ejpam-4765	61	19	illustrated	illustrate	VERB
ejpam-4765	61	20	in	in	ADP
ejpam-4765	61	21	[	[	X
ejpam-4765	61	22	29	29	NUM
ejpam-4765	61	23	]	]	PUNCT
ejpam-4765	61	24	,	,	PUNCT
ejpam-4765	61	25	the	the	DET
ejpam-4765	61	26	qsr	qsr	PROPN
ejpam-4765	61	27	index	index	NOUN
ejpam-4765	61	28	at	at	ADP
ejpam-4765	61	29	levels	level	NOUN
ejpam-4765	61	30	α	α	PROPN
ejpam-4765	61	31	and	and	CCONJ
ejpam-4765	61	32	β	β	X
ejpam-4765	61	33	of	of	ADP
ejpam-4765	61	34	the	the	DET
ejpam-4765	61	35	capital	capital	NOUN
ejpam-4765	61	36	income	income	NOUN
ejpam-4765	61	37	x	x	PUNCT
ejpam-4765	61	38	denoted	denote	VERB
ejpam-4765	61	39	by	by	ADP
ejpam-4765	61	40	η(q	η(q	NOUN
ejpam-4765	61	41	,	,	PUNCT
ejpam-4765	61	42	α	α	NOUN
ejpam-4765	61	43	,	,	PUNCT
ejpam-4765	61	44	β	β	NOUN
ejpam-4765	61	45	)	)	PUNCT
ejpam-4765	61	46	,	,	PUNCT
ejpam-4765	61	47	is	be	AUX
ejpam-4765	61	48	the	the	DET
ejpam-4765	61	49	ratio	ratio	NOUN
ejpam-4765	61	50	of	of	ADP
ejpam-4765	61	51	an	an	DET
ejpam-4765	61	52	upper	upper	ADJ
ejpam-4765	61	53	integral	integral	ADJ
ejpam-4765	61	54	u(q	u(q	PROPN
ejpam-4765	61	55	,	,	PUNCT
ejpam-4765	61	56	β	β	NOUN
ejpam-4765	61	57	)	)	PUNCT
ejpam-4765	61	58	to	to	ADP
ejpam-4765	61	59	a	a	DET
ejpam-4765	61	60	lower	low	ADJ
ejpam-4765	61	61	integral	integral	ADJ
ejpam-4765	61	62	l(q	l(q	PROPN
ejpam-4765	61	63	,	,	PUNCT
ejpam-4765	61	64	α	α	NOUN
ejpam-4765	61	65	)	)	PUNCT
ejpam-4765	61	66	.	.	PUNCT
ejpam-4765	62	1	more	more	ADV
ejpam-4765	62	2	precisely	precisely	ADV
ejpam-4765	62	3	,	,	PUNCT
ejpam-4765	62	4	we	we	PRON
ejpam-4765	62	5	have	have	VERB
ejpam-4765	62	6	:	:	PUNCT
ejpam-4765	62	7	η(q	η(q	NOUN
ejpam-4765	62	8	,	,	PUNCT
ejpam-4765	62	9	α	α	NOUN
ejpam-4765	62	10	,	,	PUNCT
ejpam-4765	62	11	β	β	NOUN
ejpam-4765	62	12	)	)	PUNCT
ejpam-4765	62	13	:	:	PUNCT
ejpam-4765	62	14	=	=	PUNCT
ejpam-4765	63	1	u(q	u(q	PROPN
ejpam-4765	63	2	,	,	PUNCT
ejpam-4765	63	3	β	β	NOUN
ejpam-4765	63	4	)	)	PUNCT
ejpam-4765	63	5	l(q	l(q	PROPN
ejpam-4765	63	6	,	,	PUNCT
ejpam-4765	63	7	α	α	X
ejpam-4765	63	8	)	)	PUNCT
ejpam-4765	63	9	=	=	SYM
ejpam-4765	64	1	∫	∫	PROPN
ejpam-4765	64	2	1	1	NUM
ejpam-4765	64	3	β	β	PROPN
ejpam-4765	64	4	q(s)ds∫	q(s)ds∫	PROPN
ejpam-4765	64	5	α	α	NOUN
ejpam-4765	64	6	0	0	NUM
ejpam-4765	64	7	q(s)ds	q(s)ds	PROPN
ejpam-4765	64	8	.	.	PUNCT
ejpam-4765	65	1	(	(	PUNCT
ejpam-4765	65	2	1	1	X
ejpam-4765	65	3	)	)	PUNCT
ejpam-4765	65	4	the	the	DET
ejpam-4765	65	5	qsr	qsr	PROPN
ejpam-4765	65	6	index	index	NOUN
ejpam-4765	65	7	is	be	AUX
ejpam-4765	65	8	then	then	ADV
ejpam-4765	65	9	given	give	VERB
ejpam-4765	65	10	by	by	ADP
ejpam-4765	65	11	:	:	PUNCT
ejpam-4765	65	12	η(q	η(q	NOUN
ejpam-4765	65	13	,	,	PUNCT
ejpam-4765	65	14	0.2	0.2	NUM
ejpam-4765	65	15	,	,	PUNCT
ejpam-4765	65	16	0.8	0.8	NUM
ejpam-4765	65	17	)	)	PUNCT
ejpam-4765	65	18	.	.	PUNCT
ejpam-4765	66	1	in	in	ADP
ejpam-4765	66	2	what	what	PRON
ejpam-4765	66	3	follows	follow	VERB
ejpam-4765	66	4	,	,	PUNCT
ejpam-4765	66	5	we	we	PRON
ejpam-4765	66	6	will	will	AUX
ejpam-4765	66	7	consider	consider	VERB
ejpam-4765	66	8	the	the	DET
ejpam-4765	66	9	more	more	ADV
ejpam-4765	66	10	general	general	ADJ
ejpam-4765	66	11	qsr	qsr	NOUN
ejpam-4765	66	12	index	index	NOUN
ejpam-4765	66	13	η(q	η(q	NOUN
ejpam-4765	66	14	,	,	PUNCT
ejpam-4765	66	15	α	α	NOUN
ejpam-4765	66	16	,	,	PUNCT
ejpam-4765	66	17	β	β	NOUN
ejpam-4765	66	18	)	)	PUNCT
ejpam-4765	66	19	and	and	CCONJ
ejpam-4765	66	20	the	the	DET
ejpam-4765	66	21	results	result	NOUN
ejpam-4765	66	22	will	will	AUX
ejpam-4765	66	23	follow	follow	VERB
ejpam-4765	66	24	directly	directly	ADV
ejpam-4765	66	25	from	from	ADP
ejpam-4765	66	26	that	that	PRON
ejpam-4765	66	27	.	.	PUNCT
ejpam-4765	67	1	the	the	DET
ejpam-4765	67	2	empirical	empirical	ADJ
ejpam-4765	67	3	estimator	estimator	NOUN
ejpam-4765	67	4	of	of	ADP
ejpam-4765	67	5	the	the	DET
ejpam-4765	67	6	distribution	distribution	NOUN
ejpam-4765	67	7	f	f	NOUN
ejpam-4765	67	8	is	be	AUX
ejpam-4765	67	9	defined	define	VERB
ejpam-4765	67	10	by	by	ADP
ejpam-4765	67	11	fn(x	fn(x	NOUN
ejpam-4765	67	12	)	)	PUNCT
ejpam-4765	68	1	=	=	SYM
ejpam-4765	68	2	n−1	n−1	PROPN
ejpam-4765	68	3	∑n	∑n	PROPN
ejpam-4765	68	4	i=1	i=1	PROPN
ejpam-4765	68	5	i{xi≤x	i{xi≤x	PROPN
ejpam-4765	68	6	}	}	PUNCT
ejpam-4765	68	7	and	and	CCONJ
ejpam-4765	68	8	its	its	PRON
ejpam-4765	68	9	corresponding	corresponding	ADJ
ejpam-4765	68	10	empirical	empirical	ADJ
ejpam-4765	68	11	quantile	quantile	ADJ
ejpam-4765	68	12	function	function	NOUN
ejpam-4765	68	13	is	be	AUX
ejpam-4765	68	14	expressed	express	VERB
ejpam-4765	68	15	by	by	ADP
ejpam-4765	68	16	qn(s	qn(	NOUN
ejpam-4765	68	17	)	)	PUNCT
ejpam-4765	68	18	=	=	SYM
ejpam-4765	68	19	inf{x;fn(x	inf{x;fn(x	PROPN
ejpam-4765	68	20	)	)	PUNCT
ejpam-4765	68	21	≥	≥	PRON
ejpam-4765	68	22	s	s	X
ejpam-4765	68	23	}	}	PUNCT
ejpam-4765	68	24	,	,	PUNCT
ejpam-4765	68	25	where	where	SCONJ
ejpam-4765	68	26	is	be	AUX
ejpam-4765	68	27	is	be	AUX
ejpam-4765	68	28	the	the	DET
ejpam-4765	68	29	indicator	indicator	NOUN
ejpam-4765	68	30	function	function	NOUN
ejpam-4765	68	31	of	of	ADP
ejpam-4765	68	32	the	the	DET
ejpam-4765	68	33	set	set	NOUN
ejpam-4765	68	34	s.	s.	PROPN
ejpam-4765	68	35	denote	denote	VERB
ejpam-4765	68	36	by	by	ADP
ejpam-4765	68	37	x1,n	x1,n	PROPN
ejpam-4765	68	38	≤	≤	PROPN
ejpam-4765	68	39	...	...	PUNCT
ejpam-4765	69	1	≤	≤	NUM
ejpam-4765	69	2	xn	xn	X
ejpam-4765	69	3	,	,	PUNCT
ejpam-4765	69	4	n	n	CCONJ
ejpam-4765	69	5	the	the	DET
ejpam-4765	69	6	order	order	NOUN
ejpam-4765	69	7	statistics	statistic	NOUN
ejpam-4765	69	8	associated	associate	VERB
ejpam-4765	69	9	with	with	ADP
ejpam-4765	69	10	the	the	DET
ejpam-4765	69	11	sample	sample	NOUN
ejpam-4765	69	12	(	(	PUNCT
ejpam-4765	69	13	x1	x1	PROPN
ejpam-4765	69	14	,	,	PUNCT
ejpam-4765	69	15	.	.	PUNCT
ejpam-4765	69	16	.	.	PUNCT
ejpam-4765	69	17	.	.	PUNCT
ejpam-4765	69	18	,	,	PUNCT
ejpam-4765	69	19	xn	xn	PROPN
ejpam-4765	69	20	)	)	PUNCT
ejpam-4765	69	21	.	.	PUNCT
ejpam-4765	70	1	thus	thus	ADV
ejpam-4765	70	2	,	,	PUNCT
ejpam-4765	70	3	qn(s	qn(s	X
ejpam-4765	70	4	)	)	PUNCT
ejpam-4765	70	5	is	be	AUX
ejpam-4765	70	6	equal	equal	ADJ
ejpam-4765	70	7	to	to	ADP
ejpam-4765	70	8	the	the	DET
ejpam-4765	70	9	i	i	PROPN
ejpam-4765	70	10	-	-	PUNCT
ejpam-4765	70	11	th	th	VERB
ejpam-4765	70	12	order	order	NOUN
ejpam-4765	70	13	statistic	statistic	NOUN
ejpam-4765	70	14	xi	xi	PROPN
ejpam-4765	70	15	,	,	PUNCT
ejpam-4765	70	16	n	n	PROPN
ejpam-4765	70	17	for	for	ADP
ejpam-4765	70	18	all	all	DET
ejpam-4765	70	19	s	s	PART
ejpam-4765	70	20	∈	∈	NOUN
ejpam-4765	70	21	(	(	PUNCT
ejpam-4765	70	22	(	(	PUNCT
ejpam-4765	70	23	i	i	PRON
ejpam-4765	70	24	−	−	PROPN
ejpam-4765	70	25	1)/n	1)/n	NUM
ejpam-4765	70	26	,	,	PUNCT
ejpam-4765	70	27	i	i	PROPN
ejpam-4765	70	28	/	/	SYM
ejpam-4765	70	29	n	n	CCONJ
ejpam-4765	70	30	]	]	PUNCT
ejpam-4765	70	31	,	,	PUNCT
ejpam-4765	70	32	and	and	CCONJ
ejpam-4765	70	33	for	for	ADP
ejpam-4765	70	34	all	all	DET
ejpam-4765	70	35	i	i	PRON
ejpam-4765	70	36	=	=	NOUN
ejpam-4765	70	37	1	1	NUM
ejpam-4765	70	38	,	,	PUNCT
ejpam-4765	70	39	...	...	PUNCT
ejpam-4765	70	40	,	,	PUNCT
ejpam-4765	70	41	n.	n.	NOUN
ejpam-4765	70	42	for	for	ADP
ejpam-4765	70	43	this	this	PRON
ejpam-4765	70	44	,	,	PUNCT
ejpam-4765	70	45	one	one	NUM
ejpam-4765	70	46	natural	natural	ADJ
ejpam-4765	70	47	candidate	candidate	NOUN
ejpam-4765	70	48	for	for	ADP
ejpam-4765	70	49	the	the	DET
ejpam-4765	70	50	empirical	empirical	ADJ
ejpam-4765	70	51	estimator	estimator	NOUN
ejpam-4765	70	52	of	of	ADP
ejpam-4765	70	53	η(q	η(q	PROPN
ejpam-4765	70	54	,	,	PUNCT
ejpam-4765	70	55	α	α	NOUN
ejpam-4765	70	56	,	,	PUNCT
ejpam-4765	70	57	β	β	NOUN
ejpam-4765	70	58	)	)	PUNCT
ejpam-4765	70	59	is	be	AUX
ejpam-4765	70	60	obtained	obtain	VERB
ejpam-4765	70	61	by	by	ADP
ejpam-4765	70	62	replacing	replace	VERB
ejpam-4765	70	63	in	in	ADP
ejpam-4765	70	64	(	(	PUNCT
ejpam-4765	70	65	1	1	X
ejpam-4765	70	66	)	)	PUNCT
ejpam-4765	70	67	the	the	DET
ejpam-4765	70	68	true	true	ADJ
ejpam-4765	70	69	quantile	quantile	ADJ
ejpam-4765	70	70	q	q	PROPN
ejpam-4765	70	71	(	(	PUNCT
ejpam-4765	70	72	·	·	PUNCT
ejpam-4765	70	73	)	)	PUNCT
ejpam-4765	70	74	with	with	ADP
ejpam-4765	70	75	the	the	DET
ejpam-4765	70	76	sample	sample	NOUN
ejpam-4765	70	77	quantiles	quantile	VERB
ejpam-4765	70	78	qn	qn	PROPN
ejpam-4765	70	79	(	(	PUNCT
ejpam-4765	70	80	·	·	PUNCT
ejpam-4765	70	81	)	)	PUNCT
ejpam-4765	70	82	.	.	PUNCT
ejpam-4765	71	1	we	we	PRON
ejpam-4765	71	2	arrive	arrive	VERB
ejpam-4765	71	3	at	at	ADP
ejpam-4765	71	4	the	the	DET
ejpam-4765	71	5	following	follow	VERB
ejpam-4765	71	6	’	'	PUNCT
ejpam-4765	71	7	traditional	traditional	ADJ
ejpam-4765	71	8	’	'	PUNCT
ejpam-4765	71	9	qsr	qsr	PROPN
ejpam-4765	71	10	index	index	NOUN
ejpam-4765	71	11	estimator	estimator	NOUN
ejpam-4765	71	12	(	(	PUNCT
ejpam-4765	71	13	see	see	VERB
ejpam-4765	71	14	,	,	PUNCT
ejpam-4765	71	15	e.g.	e.g.	ADV
ejpam-4765	71	16	,	,	PUNCT
ejpam-4765	71	17	[	[	X
ejpam-4765	71	18	29	29	NUM
ejpam-4765	71	19	]	]	PUNCT
ejpam-4765	71	20	):	):	PUNCT
ejpam-4765	71	21	η̂n(α	η̂n(α	PROPN
ejpam-4765	71	22	,	,	PUNCT
ejpam-4765	71	23	β	β	NOUN
ejpam-4765	71	24	)	)	PUNCT
ejpam-4765	71	25	:	:	PUNCT
ejpam-4765	71	26	=	=	SYM
ejpam-4765	71	27	η(qn	η(qn	PROPN
ejpam-4765	71	28	,	,	PUNCT
ejpam-4765	71	29	α	α	X
ejpam-4765	71	30	,	,	PUNCT
ejpam-4765	71	31	β	β	NOUN
ejpam-4765	71	32	)	)	PUNCT
ejpam-4765	71	33	=	=	SYM
ejpam-4765	72	1	∫	∫	PROPN
ejpam-4765	72	2	1	1	NUM
ejpam-4765	72	3	β	β	PROPN
ejpam-4765	72	4	qn(s)ds∫	qn(s)ds∫	PROPN
ejpam-4765	72	5	α	α	NOUN
ejpam-4765	72	6	0	0	NUM
ejpam-4765	72	7	qn(s)ds	qn(s)ds	PUNCT
ejpam-4765	72	8	.	.	PUNCT
ejpam-4765	73	1	(	(	PUNCT
ejpam-4765	73	2	2	2	X
ejpam-4765	73	3	)	)	PUNCT
ejpam-4765	73	4	m.	m.	NOUN
ejpam-4765	73	5	kebe	kebe	PROPN
ejpam-4765	73	6	et	et	PROPN
ejpam-4765	73	7	al	al	PROPN
ejpam-4765	73	8	.	.	PUNCT
ejpam-4765	73	9	/	/	SYM
ejpam-4765	73	10	eur	eur	PROPN
ejpam-4765	73	11	.	.	PUNCT
ejpam-4765	74	1	j.	j.	PROPN
ejpam-4765	74	2	pure	pure	PROPN
ejpam-4765	74	3	appl	appl	PROPN
ejpam-4765	74	4	.	.	PROPN
ejpam-4765	74	5	math	math	PROPN
ejpam-4765	74	6	,	,	PUNCT
ejpam-4765	74	7	16	16	NUM
ejpam-4765	74	8	(	(	PUNCT
ejpam-4765	74	9	4	4	NUM
ejpam-4765	74	10	)	)	PUNCT
ejpam-4765	74	11	(	(	PUNCT
ejpam-4765	74	12	2023	2023	NUM
ejpam-4765	74	13	)	)	PUNCT
ejpam-4765	74	14	,	,	PUNCT
ejpam-4765	74	15	2509	2509	NUM
ejpam-4765	74	16	-	-	SYM
ejpam-4765	74	17	2543	2543	NUM
ejpam-4765	74	18	2512	2512	NUM
ejpam-4765	74	19	clearly	clearly	ADV
ejpam-4765	74	20	,	,	PUNCT
ejpam-4765	74	21	the	the	DET
ejpam-4765	74	22	estimator	estimator	NOUN
ejpam-4765	74	23	η̂n(α	η̂n(α	PROPN
ejpam-4765	74	24	,	,	PUNCT
ejpam-4765	74	25	β	β	X
ejpam-4765	74	26	)	)	PUNCT
ejpam-4765	74	27	can	can	AUX
ejpam-4765	74	28	be	be	AUX
ejpam-4765	74	29	rewritten	rewrite	VERB
ejpam-4765	74	30	as	as	ADP
ejpam-4765	74	31	:	:	PUNCT
ejpam-4765	74	32	η̂n(α	η̂n(α	PROPN
ejpam-4765	74	33	,	,	PUNCT
ejpam-4765	74	34	β	β	X
ejpam-4765	74	35	)	)	PUNCT
ejpam-4765	74	36	=	=	SYM
ejpam-4765	75	1	n−1	n−1	PROPN
ejpam-4765	75	2	n∑	n∑	NOUN
ejpam-4765	75	3	j=[nβ]+1	j=[nβ]+1	PROPN
ejpam-4765	76	1	xj	xj	PROPN
ejpam-4765	76	2	,	,	PUNCT
ejpam-4765	76	3	n	n	CCONJ
ejpam-4765	76	4			NOUN
ejpam-4765	76	5	/n−1	/n−1	PUNCT
ejpam-4765	77	1	[	[	X
ejpam-4765	77	2	nα]∑	nα]∑	X
ejpam-4765	77	3	j=1	j=1	PROPN
ejpam-4765	77	4	xj	xj	PROPN
ejpam-4765	77	5	,	,	PUNCT
ejpam-4765	77	6	n	n	CCONJ
ejpam-4765	77	7			NOUN
ejpam-4765	77	8	,	,	PUNCT
ejpam-4765	77	9	(	(	PUNCT
ejpam-4765	77	10	3	3	X
ejpam-4765	77	11	)	)	PUNCT
ejpam-4765	77	12	where	where	SCONJ
ejpam-4765	77	13	[	[	X
ejpam-4765	77	14	x	x	X
ejpam-4765	77	15	]	]	X
ejpam-4765	77	16	is	be	AUX
ejpam-4765	77	17	the	the	DET
ejpam-4765	77	18	integer	integer	ADJ
ejpam-4765	77	19	part	part	NOUN
ejpam-4765	77	20	of	of	ADP
ejpam-4765	77	21	x.	x.	NOUN
ejpam-4765	77	22	note	note	VERB
ejpam-4765	77	23	that	that	SCONJ
ejpam-4765	77	24	the	the	DET
ejpam-4765	77	25	qsr	qsr	PROPN
ejpam-4765	77	26	estimator	estimator	NOUN
ejpam-4765	77	27	η̂n(α	η̂n(α	PROPN
ejpam-4765	77	28	,	,	PUNCT
ejpam-4765	77	29	β	β	X
ejpam-4765	77	30	)	)	PUNCT
ejpam-4765	77	31	is	be	AUX
ejpam-4765	77	32	the	the	DET
ejpam-4765	77	33	ratio	ratio	NOUN
ejpam-4765	77	34	of	of	ADP
ejpam-4765	77	35	a	a	DET
ejpam-4765	77	36	u	u	NOUN
ejpam-4765	77	37	-	-	NOUN
ejpam-4765	77	38	statistic	statistic	ADJ
ejpam-4765	77	39	to	to	ADP
ejpam-4765	77	40	a	a	DET
ejpam-4765	77	41	l	l	NOUN
ejpam-4765	77	42	-	-	NOUN
ejpam-4765	77	43	statistic	statistic	NOUN
ejpam-4765	77	44	.	.	PUNCT
ejpam-4765	78	1	according	accord	VERB
ejpam-4765	78	2	to	to	ADP
ejpam-4765	78	3	[	[	X
ejpam-4765	78	4	29	29	NUM
ejpam-4765	78	5	]	]	NUM
ejpam-4765	78	6	)	)	PUNCT
ejpam-4765	78	7	,	,	PUNCT
ejpam-4765	78	8	for	for	ADP
ejpam-4765	78	9	a	a	DET
ejpam-4765	78	10	given	give	VERB
ejpam-4765	78	11	capital	capital	NOUN
ejpam-4765	78	12	income	income	NOUN
ejpam-4765	78	13	distribution	distribution	NOUN
ejpam-4765	78	14	f	f	PROPN
ejpam-4765	78	15	with	with	ADP
ejpam-4765	78	16	finite	finite	ADJ
ejpam-4765	78	17	variance	variance	NOUN
ejpam-4765	78	18	,	,	PUNCT
ejpam-4765	78	19	the	the	DET
ejpam-4765	78	20	following	follow	VERB
ejpam-4765	78	21	result	result	NOUN
ejpam-4765	78	22	holds	hold	VERB
ejpam-4765	78	23	:	:	PUNCT
ejpam-4765	78	24	√	√	PROPN
ejpam-4765	78	25	n	n	PRON
ejpam-4765	78	26	(	(	PUNCT
ejpam-4765	78	27	η̂n(α	η̂n(α	PROPN
ejpam-4765	78	28	,	,	PUNCT
ejpam-4765	78	29	β	β	NOUN
ejpam-4765	78	30	)	)	PUNCT
ejpam-4765	78	31	−	−	ADP
ejpam-4765	79	1	η(q	η(q	NOUN
ejpam-4765	79	2	,	,	PUNCT
ejpam-4765	79	3	α	α	NOUN
ejpam-4765	79	4	,	,	PUNCT
ejpam-4765	79	5	β	β	NOUN
ejpam-4765	79	6	)	)	PUNCT
ejpam-4765	79	7	)	)	PUNCT
ejpam-4765	80	1	d→	d→	VERB
ejpam-4765	80	2	n	n	CCONJ
ejpam-4765	80	3	(	(	PUNCT
ejpam-4765	80	4	0	0	NUM
ejpam-4765	80	5	,	,	PUNCT
ejpam-4765	80	6	σ2	σ2	NOUN
ejpam-4765	80	7	η(α	η(α	NOUN
ejpam-4765	80	8	,	,	PUNCT
ejpam-4765	80	9	β	β	NOUN
ejpam-4765	80	10	)	)	PUNCT
ejpam-4765	80	11	)	)	PUNCT
ejpam-4765	80	12	,	,	PUNCT
ejpam-4765	80	13	as	as	ADP
ejpam-4765	80	14	n	n	X
ejpam-4765	80	15	→	→	SYM
ejpam-4765	80	16	∞	∞	PROPN
ejpam-4765	80	17	,	,	PUNCT
ejpam-4765	80	18	where	where	SCONJ
ejpam-4765	80	19	σ2	σ2	NOUN
ejpam-4765	80	20	η(α	η(α	NOUN
ejpam-4765	80	21	,	,	PUNCT
ejpam-4765	80	22	β	β	NOUN
ejpam-4765	80	23	)	)	PUNCT
ejpam-4765	80	24	:	:	PUNCT
ejpam-4765	80	25	=	=	SYM
ejpam-4765	80	26	σ2(β	σ2(β	PROPN
ejpam-4765	80	27	,	,	PUNCT
ejpam-4765	80	28	1	1	NUM
ejpam-4765	80	29	)	)	PUNCT
ejpam-4765	80	30	+	+	CCONJ
ejpam-4765	80	31	(	(	PUNCT
ejpam-4765	80	32	η(q	η(q	NOUN
ejpam-4765	80	33	,	,	PUNCT
ejpam-4765	80	34	α	α	NOUN
ejpam-4765	80	35	,	,	PUNCT
ejpam-4765	80	36	β))2	β))2	PROPN
ejpam-4765	80	37	σ2(0	σ2(0	PROPN
ejpam-4765	80	38	,	,	PUNCT
ejpam-4765	80	39	α	α	NOUN
ejpam-4765	80	40	)	)	PUNCT
ejpam-4765	80	41	−	−	PROPN
ejpam-4765	80	42	2η(q	2η(q	PROPN
ejpam-4765	80	43	,	,	PUNCT
ejpam-4765	80	44	α	α	X
ejpam-4765	80	45	,	,	PUNCT
ejpam-4765	80	46	β	β	NOUN
ejpam-4765	80	47	)	)	PUNCT
ejpam-4765	80	48	∫	∫	PROPN
ejpam-4765	81	1	α	α	NOUN
ejpam-4765	81	2	0	0	PUNCT
ejpam-4765	81	3	sdq(s	sdq(s	PROPN
ejpam-4765	81	4	)	)	PUNCT
ejpam-4765	81	5	∫	∫	PROPN
ejpam-4765	81	6	1	1	NUM
ejpam-4765	81	7	β	β	X
ejpam-4765	81	8	(	(	PUNCT
ejpam-4765	81	9	1	1	NUM
ejpam-4765	81	10	−	−	NOUN
ejpam-4765	81	11	t)dq(t	t)dq(t	NOUN
ejpam-4765	81	12	)	)	PUNCT
ejpam-4765	81	13	,	,	PUNCT
ejpam-4765	81	14	with	with	ADP
ejpam-4765	81	15	for	for	ADP
ejpam-4765	81	16	0	0	NUM
ejpam-4765	81	17	≤	≤	NUM
ejpam-4765	81	18	s	s	PART
ejpam-4765	81	19	<	<	X
ejpam-4765	81	20	t	t	X
ejpam-4765	81	21	≤	≤	NUM
ejpam-4765	81	22	1	1	NUM
ejpam-4765	81	23	and	and	CCONJ
ejpam-4765	81	24	σ2(s	σ2(s	PROPN
ejpam-4765	81	25	,	,	PUNCT
ejpam-4765	81	26	t	t	PROPN
ejpam-4765	81	27	)	)	PUNCT
ejpam-4765	81	28	=	=	SYM
ejpam-4765	82	1	∫	∫	PROPN
ejpam-4765	82	2	t	t	PROPN
ejpam-4765	82	3	s	s	PART
ejpam-4765	82	4	∫	∫	PROPN
ejpam-4765	82	5	t	t	PROPN
ejpam-4765	82	6	s	s	PART
ejpam-4765	82	7	(	(	PUNCT
ejpam-4765	82	8	min(u	min(u	NOUN
ejpam-4765	82	9	;	;	PUNCT
ejpam-4765	82	10	v	v	NOUN
ejpam-4765	82	11	)	)	PUNCT
ejpam-4765	82	12	−	−	PROPN
ejpam-4765	82	13	uv)dq(u)dq(v	uv)dq(u)dq(v	PROPN
ejpam-4765	82	14	)	)	PUNCT
ejpam-4765	82	15	.	.	PUNCT
ejpam-4765	83	1	this	this	DET
ejpam-4765	83	2	result	result	NOUN
ejpam-4765	83	3	is	be	AUX
ejpam-4765	83	4	violated	violate	VERB
ejpam-4765	83	5	when	when	SCONJ
ejpam-4765	83	6	capital	capital	NOUN
ejpam-4765	83	7	incomes	income	NOUN
ejpam-4765	83	8	have	have	VERB
ejpam-4765	83	9	heavy	heavy	ADV
ejpam-4765	83	10	-	-	PUNCT
ejpam-4765	83	11	tailed	tail	VERB
ejpam-4765	83	12	distributions	distribution	NOUN
ejpam-4765	83	13	with	with	ADP
ejpam-4765	83	14	infinite	infinite	ADJ
ejpam-4765	83	15	variance	variance	NOUN
ejpam-4765	83	16	,	,	PUNCT
ejpam-4765	83	17	since	since	SCONJ
ejpam-4765	83	18	the	the	DET
ejpam-4765	83	19	asymptotic	asymptotic	ADJ
ejpam-4765	83	20	variance	variance	NOUN
ejpam-4765	83	21	σ2	σ2	PROPN
ejpam-4765	83	22	η(α	η(α	NOUN
ejpam-4765	83	23	,	,	PUNCT
ejpam-4765	83	24	β	β	NOUN
ejpam-4765	83	25	)	)	PUNCT
ejpam-4765	83	26	is	be	AUX
ejpam-4765	83	27	also	also	ADV
ejpam-4765	83	28	infinite	infinite	ADJ
ejpam-4765	83	29	.	.	PUNCT
ejpam-4765	84	1	for	for	ADP
ejpam-4765	84	2	more	more	ADJ
ejpam-4765	84	3	detail	detail	NOUN
ejpam-4765	84	4	;	;	PUNCT
ejpam-4765	84	5	refer	refer	VERB
ejpam-4765	84	6	to	to	ADP
ejpam-4765	84	7	[	[	X
ejpam-4765	84	8	29	29	NUM
ejpam-4765	84	9	]	]	SYM
ejpam-4765	84	10	)	)	PUNCT
ejpam-4765	84	11	.	.	PUNCT
ejpam-4765	85	1	however	however	ADV
ejpam-4765	85	2	,	,	PUNCT
ejpam-4765	85	3	micro	micro	NOUN
ejpam-4765	85	4	-	-	NOUN
ejpam-4765	85	5	data	datum	NOUN
ejpam-4765	85	6	show	show	VERB
ejpam-4765	85	7	that	that	SCONJ
ejpam-4765	85	8	capital	capital	NOUN
ejpam-4765	85	9	incomes	income	NOUN
ejpam-4765	85	10	account	account	VERB
ejpam-4765	85	11	for	for	ADP
ejpam-4765	85	12	a	a	DET
ejpam-4765	85	13	large	large	ADJ
ejpam-4765	85	14	part	part	NOUN
ejpam-4765	85	15	of	of	ADP
ejpam-4765	85	16	disparity	disparity	NOUN
ejpam-4765	85	17	in	in	ADP
ejpam-4765	85	18	populations	population	NOUN
ejpam-4765	85	19	.	.	PUNCT
ejpam-4765	86	1	furthermore	furthermore	ADV
ejpam-4765	86	2	,	,	PUNCT
ejpam-4765	86	3	in	in	ADP
ejpam-4765	86	4	some	some	DET
ejpam-4765	86	5	countries	country	NOUN
ejpam-4765	86	6	,	,	PUNCT
ejpam-4765	86	7	capital	capital	NOUN
ejpam-4765	86	8	incomes	income	NOUN
ejpam-4765	86	9	have	have	AUX
ejpam-4765	86	10	been	be	AUX
ejpam-4765	86	11	making	make	VERB
ejpam-4765	86	12	up	up	ADP
ejpam-4765	86	13	a	a	DET
ejpam-4765	86	14	disproportionately	disproportionately	ADV
ejpam-4765	86	15	high	high	ADJ
ejpam-4765	86	16	contribution	contribution	NOUN
ejpam-4765	86	17	to	to	ADP
ejpam-4765	86	18	the	the	DET
ejpam-4765	86	19	overall	overall	ADJ
ejpam-4765	86	20	inequality	inequality	NOUN
ejpam-4765	86	21	(	(	PUNCT
ejpam-4765	86	22	see	see	VERB
ejpam-4765	86	23	,	,	PUNCT
ejpam-4765	86	24	e.g.	e.g.	ADV
ejpam-4765	86	25	,	,	PUNCT
ejpam-4765	86	26	[	[	X
ejpam-4765	86	27	17	17	NUM
ejpam-4765	86	28	]	]	NUM
ejpam-4765	86	29	)	)	PUNCT
ejpam-4765	86	30	.	.	PUNCT
ejpam-4765	87	1	the	the	DET
ejpam-4765	87	2	present	present	ADJ
ejpam-4765	87	3	research	research	NOUN
ejpam-4765	87	4	has	have	AUX
ejpam-4765	87	5	been	be	AUX
ejpam-4765	87	6	motivated	motivate	VERB
ejpam-4765	87	7	by	by	ADP
ejpam-4765	87	8	the	the	DET
ejpam-4765	87	9	need	need	NOUN
ejpam-4765	87	10	for	for	ADP
ejpam-4765	87	11	better	well	ADJ
ejpam-4765	87	12	understanding	understand	VERB
ejpam-4765	87	13	the	the	DET
ejpam-4765	87	14	distribution	distribution	NOUN
ejpam-4765	87	15	and	and	CCONJ
ejpam-4765	87	16	inequality	inequality	NOUN
ejpam-4765	87	17	of	of	ADP
ejpam-4765	87	18	capital	capital	NOUN
ejpam-4765	87	19	incomes	income	NOUN
ejpam-4765	87	20	,	,	PUNCT
ejpam-4765	87	21	which	which	PRON
ejpam-4765	87	22	in	in	ADP
ejpam-4765	87	23	many	many	ADJ
ejpam-4765	87	24	countries	country	NOUN
ejpam-4765	87	25	appear	appear	VERB
ejpam-4765	87	26	to	to	PART
ejpam-4765	87	27	be	be	AUX
ejpam-4765	87	28	heavy	heavy	ADV
ejpam-4765	87	29	-	-	PUNCT
ejpam-4765	87	30	tailed	tailed	ADJ
ejpam-4765	87	31	(	(	PUNCT
ejpam-4765	87	32	see	see	VERB
ejpam-4765	87	33	,	,	PUNCT
ejpam-4765	87	34	eg	eg	NOUN
ejpam-4765	87	35	.	.	PUNCT
ejpam-4765	88	1	[	[	X
ejpam-4765	88	2	25	25	NUM
ejpam-4765	88	3	]	]	PUNCT
ejpam-4765	88	4	)	)	PUNCT
ejpam-4765	88	5	.	.	PUNCT
ejpam-4765	89	1	to	to	ADP
ejpam-4765	89	2	this	this	DET
ejpam-4765	89	3	aim	aim	NOUN
ejpam-4765	89	4	,	,	PUNCT
ejpam-4765	89	5	we	we	PRON
ejpam-4765	89	6	assume	assume	VERB
ejpam-4765	89	7	that	that	SCONJ
ejpam-4765	89	8	the	the	DET
ejpam-4765	89	9	income	income	NOUN
ejpam-4765	89	10	distribution	distribution	NOUN
ejpam-4765	89	11	f	f	NOUN
ejpam-4765	89	12	is	be	AUX
ejpam-4765	89	13	heavy	heavy	ADV
ejpam-4765	89	14	-	-	PUNCT
ejpam-4765	89	15	tailed	tailed	ADJ
ejpam-4765	89	16	.	.	PUNCT
ejpam-4765	90	1	this	this	PRON
ejpam-4765	90	2	is	be	AUX
ejpam-4765	90	3	equivalent	equivalent	ADJ
ejpam-4765	90	4	to	to	ADP
ejpam-4765	90	5	the	the	DET
ejpam-4765	90	6	fact	fact	NOUN
ejpam-4765	90	7	that	that	SCONJ
ejpam-4765	90	8	the	the	DET
ejpam-4765	90	9	survival	survival	NOUN
ejpam-4765	90	10	function	function	VERB
ejpam-4765	90	11	f	f	NOUN
ejpam-4765	90	12	:	:	PUNCT
ejpam-4765	90	13	=	=	SYM
ejpam-4765	90	14	1	1	NUM
ejpam-4765	90	15	−	−	NOUN
ejpam-4765	90	16	f	f	PROPN
ejpam-4765	90	17	associated	associate	VERB
ejpam-4765	90	18	to	to	ADP
ejpam-4765	90	19	f	f	PROPN
ejpam-4765	90	20	is	be	AUX
ejpam-4765	90	21	regularly	regularly	ADV
ejpam-4765	90	22	varying	vary	VERB
ejpam-4765	90	23	at	at	ADP
ejpam-4765	90	24	infinity	infinity	NOUN
ejpam-4765	90	25	with	with	ADP
ejpam-4765	90	26	index	index	NOUN
ejpam-4765	90	27	−1	−1	NOUN
ejpam-4765	90	28	/	/	SYM
ejpam-4765	90	29	γ	γ	X
ejpam-4765	90	30	<	<	X
ejpam-4765	90	31	0	0	NUM
ejpam-4765	90	32	.	.	PUNCT
ejpam-4765	91	1	more	more	ADV
ejpam-4765	91	2	precisely	precisely	ADV
ejpam-4765	91	3	,	,	PUNCT
ejpam-4765	91	4	f	f	PROPN
ejpam-4765	91	5	(	(	PUNCT
ejpam-4765	91	6	x	x	NOUN
ejpam-4765	91	7	)	)	PUNCT
ejpam-4765	91	8	=	=	SYM
ejpam-4765	91	9	x−1	x−1	PROPN
ejpam-4765	91	10	/	/	SYM
ejpam-4765	91	11	γℓf	γℓf	NOUN
ejpam-4765	91	12	(	(	PUNCT
ejpam-4765	91	13	x	x	NOUN
ejpam-4765	91	14	)	)	PUNCT
ejpam-4765	91	15	,	,	PUNCT
ejpam-4765	91	16	x	x	X
ejpam-4765	91	17	>	>	X
ejpam-4765	91	18	0	0	NUM
ejpam-4765	91	19	,	,	PUNCT
ejpam-4765	91	20	(	(	PUNCT
ejpam-4765	91	21	4	4	X
ejpam-4765	91	22	)	)	PUNCT
ejpam-4765	91	23	where	where	SCONJ
ejpam-4765	91	24	ℓf	ℓf	NOUN
ejpam-4765	91	25	is	be	AUX
ejpam-4765	91	26	a	a	DET
ejpam-4765	91	27	slowly	slowly	ADV
ejpam-4765	91	28	varying	vary	VERB
ejpam-4765	91	29	function	function	NOUN
ejpam-4765	91	30	at	at	ADP
ejpam-4765	91	31	infinity	infinity	NOUN
ejpam-4765	91	32	,	,	PUNCT
ejpam-4765	91	33	i.e	i.e	X
ejpam-4765	91	34	for	for	ADP
ejpam-4765	91	35	all	all	PRON
ejpam-4765	91	36	x	x	SYM
ejpam-4765	91	37	>	>	X
ejpam-4765	91	38	0	0	NUM
ejpam-4765	91	39	,	,	PUNCT
ejpam-4765	91	40	ℓf	ℓf	X
ejpam-4765	91	41	(	(	PUNCT
ejpam-4765	91	42	tx)/ℓf	tx)/ℓf	PROPN
ejpam-4765	91	43	(	(	PUNCT
ejpam-4765	91	44	t	t	NOUN
ejpam-4765	91	45	)	)	PUNCT
ejpam-4765	91	46	→	→	SYM
ejpam-4765	91	47	1	1	NUM
ejpam-4765	91	48	,	,	PUNCT
ejpam-4765	91	49	as	as	ADP
ejpam-4765	91	50	t	t	PROPN
ejpam-4765	91	51	→	→	SYM
ejpam-4765	91	52	∞.	∞.	PROPN
ejpam-4765	91	53	the	the	DET
ejpam-4765	91	54	relation	relation	NOUN
ejpam-4765	91	55	(	(	PUNCT
ejpam-4765	91	56	4	4	X
ejpam-4765	91	57	)	)	PUNCT
ejpam-4765	91	58	is	be	AUX
ejpam-4765	91	59	also	also	ADV
ejpam-4765	91	60	equivalent	equivalent	ADJ
ejpam-4765	91	61	to	to	ADP
ejpam-4765	91	62	q(1	q(1	VERB
ejpam-4765	91	63	−	−	PROPN
ejpam-4765	91	64	s	s	NOUN
ejpam-4765	91	65	)	)	PUNCT
ejpam-4765	91	66	=	=	SYM
ejpam-4765	91	67	s−γℓq(s	s−γℓq(s	PROPN
ejpam-4765	91	68	)	)	PUNCT
ejpam-4765	91	69	,	,	PUNCT
ejpam-4765	91	70	s	s	PROPN
ejpam-4765	91	71	∈	∈	PROPN
ejpam-4765	91	72	(	(	PUNCT
ejpam-4765	91	73	0	0	NUM
ejpam-4765	91	74	,	,	PUNCT
ejpam-4765	91	75	1	1	NUM
ejpam-4765	91	76	)	)	PUNCT
ejpam-4765	91	77	,	,	PUNCT
ejpam-4765	91	78	where	where	SCONJ
ejpam-4765	91	79	ℓq(zs)/ℓq(s	ℓq(zs)/ℓq(s	PROPN
ejpam-4765	91	80	)	)	PUNCT
ejpam-4765	91	81	→	→	SYM
ejpam-4765	91	82	1	1	NUM
ejpam-4765	91	83	,	,	PUNCT
ejpam-4765	91	84	as	as	ADP
ejpam-4765	91	85	s	s	PROPN
ejpam-4765	91	86	→	→	SYM
ejpam-4765	91	87	0	0	NUM
ejpam-4765	91	88	,	,	PUNCT
ejpam-4765	91	89	for	for	ADP
ejpam-4765	91	90	all	all	DET
ejpam-4765	91	91	z	z	NOUN
ejpam-4765	91	92	∈	∈	PROPN
ejpam-4765	91	93	(	(	PUNCT
ejpam-4765	91	94	0	0	NUM
ejpam-4765	91	95	,	,	PUNCT
ejpam-4765	91	96	1	1	NUM
ejpam-4765	91	97	)	)	PUNCT
ejpam-4765	91	98	.	.	PUNCT
ejpam-4765	92	1	from	from	ADP
ejpam-4765	92	2	(	(	PUNCT
ejpam-4765	92	3	4	4	NUM
ejpam-4765	92	4	)	)	PUNCT
ejpam-4765	92	5	,	,	PUNCT
ejpam-4765	92	6	one	one	PRON
ejpam-4765	92	7	can	can	AUX
ejpam-4765	92	8	easily	easily	ADV
ejpam-4765	92	9	see	see	VERB
ejpam-4765	92	10	that	that	PRON
ejpam-4765	92	11	for	for	ADP
ejpam-4765	92	12	all	all	PRON
ejpam-4765	92	13	x	x	SYM
ejpam-4765	92	14	>	>	PUNCT
ejpam-4765	92	15	0	0	PUNCT
ejpam-4765	93	1	and	and	CCONJ
ejpam-4765	93	2	z	z	NOUN
ejpam-4765	93	3	∈	∈	PROPN
ejpam-4765	93	4	(	(	PUNCT
ejpam-4765	93	5	0	0	NUM
ejpam-4765	93	6	,	,	PUNCT
ejpam-4765	93	7	1	1	NUM
ejpam-4765	93	8	):	):	PUNCT
ejpam-4765	93	9	lim	lim	PROPN
ejpam-4765	93	10	t→∞	t→∞	ADP
ejpam-4765	93	11	f	f	PROPN
ejpam-4765	93	12	(	(	PUNCT
ejpam-4765	93	13	tx	tx	PROPN
ejpam-4765	93	14	)	)	PUNCT
ejpam-4765	93	15	f	f	PROPN
ejpam-4765	93	16	(	(	PUNCT
ejpam-4765	93	17	t	t	PROPN
ejpam-4765	93	18	)	)	PUNCT
ejpam-4765	93	19	=	=	PUNCT
ejpam-4765	94	1	x−1	x−1	PROPN
ejpam-4765	94	2	/	/	SYM
ejpam-4765	94	3	γ	γ	PROPN
ejpam-4765	94	4	and	and	CCONJ
ejpam-4765	94	5	lim	lim	PROPN
ejpam-4765	94	6	s→0	s→0	PROPN
ejpam-4765	95	1	q(1	q(1	VERB
ejpam-4765	95	2	−	−	PROPN
ejpam-4765	95	3	zs	zs	PROPN
ejpam-4765	95	4	)	)	PUNCT
ejpam-4765	95	5	q(1	q(1	VERB
ejpam-4765	95	6	−	−	PROPN
ejpam-4765	95	7	s	s	NOUN
ejpam-4765	95	8	)	)	PUNCT
ejpam-4765	95	9	=	=	SYM
ejpam-4765	95	10	z−γ	z−γ	NOUN
ejpam-4765	95	11	.	.	PUNCT
ejpam-4765	96	1	(	(	PUNCT
ejpam-4765	96	2	5	5	X
ejpam-4765	96	3	)	)	PUNCT
ejpam-4765	96	4	m.	m.	NOUN
ejpam-4765	96	5	kebe	kebe	PROPN
ejpam-4765	96	6	et	et	PROPN
ejpam-4765	96	7	al	al	PROPN
ejpam-4765	96	8	.	.	PUNCT
ejpam-4765	96	9	/	/	SYM
ejpam-4765	96	10	eur	eur	PROPN
ejpam-4765	96	11	.	.	PUNCT
ejpam-4765	97	1	j.	j.	PROPN
ejpam-4765	97	2	pure	pure	PROPN
ejpam-4765	97	3	appl	appl	PROPN
ejpam-4765	97	4	.	.	PROPN
ejpam-4765	97	5	math	math	PROPN
ejpam-4765	97	6	,	,	PUNCT
ejpam-4765	97	7	16	16	NUM
ejpam-4765	97	8	(	(	PUNCT
ejpam-4765	97	9	4	4	NUM
ejpam-4765	97	10	)	)	PUNCT
ejpam-4765	97	11	(	(	PUNCT
ejpam-4765	97	12	2023	2023	NUM
ejpam-4765	97	13	)	)	PUNCT
ejpam-4765	97	14	,	,	PUNCT
ejpam-4765	97	15	2509	2509	NUM
ejpam-4765	97	16	-	-	SYM
ejpam-4765	97	17	2543	2543	NUM
ejpam-4765	97	18	2513	2513	NUM
ejpam-4765	97	19	the	the	DET
ejpam-4765	97	20	relation	relation	NOUN
ejpam-4765	97	21	in	in	ADP
ejpam-4765	97	22	(	(	PUNCT
ejpam-4765	97	23	5	5	NUM
ejpam-4765	97	24	)	)	PUNCT
ejpam-4765	97	25	is	be	AUX
ejpam-4765	97	26	namely	namely	ADV
ejpam-4765	97	27	called	call	VERB
ejpam-4765	97	28	the	the	DET
ejpam-4765	97	29	first	first	ADJ
ejpam-4765	97	30	order	order	NOUN
ejpam-4765	97	31	regularly	regularly	ADV
ejpam-4765	97	32	varying	vary	VERB
ejpam-4765	97	33	condition	condition	NOUN
ejpam-4765	97	34	.	.	PUNCT
ejpam-4765	98	1	the	the	DET
ejpam-4765	98	2	parameter	parameter	NOUN
ejpam-4765	98	3	γ	γ	PROPN
ejpam-4765	98	4	is	be	AUX
ejpam-4765	98	5	called	call	VERB
ejpam-4765	98	6	the	the	DET
ejpam-4765	98	7	tail	tail	NOUN
ejpam-4765	98	8	index	index	NOUN
ejpam-4765	98	9	(	(	PUNCT
ejpam-4765	98	10	or	or	CCONJ
ejpam-4765	98	11	the	the	DET
ejpam-4765	98	12	extreme	extreme	ADJ
ejpam-4765	98	13	value	value	NOUN
ejpam-4765	98	14	index	index	NOUN
ejpam-4765	98	15	)	)	PUNCT
ejpam-4765	98	16	and	and	CCONJ
ejpam-4765	98	17	governs	govern	VERB
ejpam-4765	98	18	the	the	DET
ejpam-4765	98	19	tail	tail	NOUN
ejpam-4765	98	20	behavior	behavior	NOUN
ejpam-4765	98	21	,	,	PUNCT
ejpam-4765	98	22	with	with	ADP
ejpam-4765	98	23	larger	large	ADJ
ejpam-4765	98	24	values	value	NOUN
ejpam-4765	98	25	indicating	indicate	VERB
ejpam-4765	98	26	heavier	heavy	ADJ
ejpam-4765	98	27	tails	tail	NOUN
ejpam-4765	98	28	.	.	PUNCT
ejpam-4765	99	1	its	its	PRON
ejpam-4765	99	2	estimation	estimation	NOUN
ejpam-4765	99	3	has	have	AUX
ejpam-4765	99	4	received	receive	VERB
ejpam-4765	99	5	a	a	DET
ejpam-4765	99	6	great	great	ADJ
ejpam-4765	99	7	attention	attention	NOUN
ejpam-4765	99	8	in	in	ADP
ejpam-4765	99	9	the	the	DET
ejpam-4765	99	10	extreme	extreme	ADJ
ejpam-4765	99	11	value	value	NOUN
ejpam-4765	99	12	literature	literature	NOUN
ejpam-4765	99	13	(	(	PUNCT
ejpam-4765	99	14	see	see	VERB
ejpam-4765	99	15	,	,	PUNCT
ejpam-4765	99	16	e.g.	e.g.	ADV
ejpam-4765	99	17	,	,	PUNCT
ejpam-4765	99	18	[	[	X
ejpam-4765	99	19	10	10	NUM
ejpam-4765	99	20	]	]	NUM
ejpam-4765	99	21	)	)	PUNCT
ejpam-4765	99	22	.	.	PUNCT
ejpam-4765	100	1	this	this	DET
ejpam-4765	100	2	kind	kind	NOUN
ejpam-4765	100	3	of	of	ADP
ejpam-4765	100	4	models	model	NOUN
ejpam-4765	100	5	and	and	CCONJ
ejpam-4765	100	6	its	its	PRON
ejpam-4765	100	7	unidentified	unidentified	ADJ
ejpam-4765	100	8	parameters	parameter	NOUN
ejpam-4765	100	9	have	have	AUX
ejpam-4765	100	10	been	be	AUX
ejpam-4765	100	11	previously	previously	ADV
ejpam-4765	100	12	used	use	VERB
ejpam-4765	100	13	by	by	ADP
ejpam-4765	100	14	various	various	ADJ
ejpam-4765	100	15	authors	author	NOUN
ejpam-4765	100	16	such	such	ADJ
ejpam-4765	100	17	as	as	ADP
ejpam-4765	100	18	[	[	X
ejpam-4765	100	19	15	15	NUM
ejpam-4765	100	20	]	]	PUNCT
ejpam-4765	100	21	,	,	PUNCT
ejpam-4765	100	22	[	[	X
ejpam-4765	100	23	25	25	NUM
ejpam-4765	100	24	]	]	PUNCT
ejpam-4765	100	25	,	,	PUNCT
ejpam-4765	100	26	[	[	X
ejpam-4765	100	27	29	29	NUM
ejpam-4765	100	28	]	]	PUNCT
ejpam-4765	100	29	to	to	PART
ejpam-4765	100	30	assess	assess	VERB
ejpam-4765	100	31	inequality	inequality	NOUN
ejpam-4765	100	32	measure	measure	NOUN
ejpam-4765	100	33	of	of	ADP
ejpam-4765	100	34	capital	capital	NOUN
ejpam-4765	100	35	incomes	income	NOUN
ejpam-4765	100	36	.	.	PUNCT
ejpam-4765	101	1	next	next	ADV
ejpam-4765	101	2	,	,	PUNCT
ejpam-4765	101	3	we	we	PRON
ejpam-4765	101	4	also	also	ADV
ejpam-4765	101	5	note	note	VERB
ejpam-4765	101	6	that	that	SCONJ
ejpam-4765	101	7	:	:	PUNCT
ejpam-4765	101	8	•	•	X
ejpam-4765	101	9	when	when	SCONJ
ejpam-4765	101	10	γ	γ	X
ejpam-4765	101	11	>	>	X
ejpam-4765	101	12	1	1	NUM
ejpam-4765	101	13	,	,	PUNCT
ejpam-4765	101	14	the	the	DET
ejpam-4765	101	15	qsr	qsr	NOUN
ejpam-4765	101	16	index	index	NOUN
ejpam-4765	101	17	η(q	η(q	NOUN
ejpam-4765	101	18	,	,	PUNCT
ejpam-4765	101	19	α	α	NOUN
ejpam-4765	101	20	,	,	PUNCT
ejpam-4765	101	21	β	β	NOUN
ejpam-4765	101	22	)	)	PUNCT
ejpam-4765	101	23	and	and	CCONJ
ejpam-4765	101	24	thus	thus	ADV
ejpam-4765	101	25	its	its	PRON
ejpam-4765	101	26	estimator	estimator	NOUN
ejpam-4765	101	27	η̂n(α	η̂n(α	PROPN
ejpam-4765	101	28	,	,	PUNCT
ejpam-4765	101	29	β	β	NOUN
ejpam-4765	101	30	)	)	PUNCT
ejpam-4765	101	31	are	be	AUX
ejpam-4765	101	32	not	not	PART
ejpam-4765	101	33	defined	define	VERB
ejpam-4765	101	34	.	.	PUNCT
ejpam-4765	102	1	•	•	NUM
ejpam-4765	102	2	when	when	SCONJ
ejpam-4765	102	3	0	0	X
ejpam-4765	102	4	<	<	X
ejpam-4765	102	5	γ	γ	PROPN
ejpam-4765	102	6	≤	≤	NOUN
ejpam-4765	102	7	1/2	1/2	NUM
ejpam-4765	102	8	(	(	PUNCT
ejpam-4765	102	9	the	the	DET
ejpam-4765	102	10	lower	low	ADJ
ejpam-4765	102	11	half	half	NOUN
ejpam-4765	102	12	of	of	ADP
ejpam-4765	102	13	the	the	DET
ejpam-4765	102	14	unit	unit	NOUN
ejpam-4765	102	15	interval	interval	NOUN
ejpam-4765	102	16	)	)	PUNCT
ejpam-4765	102	17	,	,	PUNCT
ejpam-4765	102	18	then	then	ADV
ejpam-4765	102	19	e[x2+ϵ	e[x2+ϵ	VERB
ejpam-4765	102	20	]	]	PUNCT
ejpam-4765	102	21	<	<	X
ejpam-4765	102	22	∞	∞	PROPN
ejpam-4765	102	23	for	for	ADP
ejpam-4765	102	24	some	some	PRON
ejpam-4765	102	25	ϵ	ϵ	PROPN
ejpam-4765	102	26	>	>	X
ejpam-4765	102	27	0	0	NUM
ejpam-4765	102	28	,	,	PUNCT
ejpam-4765	102	29	and	and	CCONJ
ejpam-4765	102	30	so	so	ADV
ejpam-4765	102	31	we	we	PRON
ejpam-4765	102	32	can	can	AUX
ejpam-4765	102	33	use	use	VERB
ejpam-4765	102	34	the	the	DET
ejpam-4765	102	35	available	available	ADJ
ejpam-4765	102	36	asymptotically	asymptotically	ADV
ejpam-4765	102	37	normal	normal	ADJ
ejpam-4765	102	38	estimator	estimator	NOUN
ejpam-4765	102	39	η̂n(α	η̂n(α	PROPN
ejpam-4765	102	40	,	,	PUNCT
ejpam-4765	102	41	β	β	NOUN
ejpam-4765	102	42	)	)	PUNCT
ejpam-4765	102	43	,	,	PUNCT
ejpam-4765	102	44	(	(	PUNCT
ejpam-4765	102	45	see	see	VERB
ejpam-4765	102	46	,	,	PUNCT
ejpam-4765	102	47	[	[	X
ejpam-4765	102	48	29	29	NUM
ejpam-4765	102	49	]	]	SYM
ejpam-4765	102	50	)	)	PUNCT
ejpam-4765	102	51	.	.	PUNCT
ejpam-4765	103	1	•	•	NUM
ejpam-4765	103	2	when	when	SCONJ
ejpam-4765	103	3	1/2	1/2	NUM
ejpam-4765	103	4	<	<	X
ejpam-4765	103	5	γ	γ	X
ejpam-4765	103	6	<	<	X
ejpam-4765	103	7	1	1	NUM
ejpam-4765	103	8	(	(	PUNCT
ejpam-4765	103	9	the	the	DET
ejpam-4765	103	10	upper	upper	ADJ
ejpam-4765	103	11	half	half	NOUN
ejpam-4765	103	12	of	of	ADP
ejpam-4765	103	13	the	the	DET
ejpam-4765	103	14	unit	unit	NOUN
ejpam-4765	103	15	interval	interval	NOUN
ejpam-4765	103	16	)	)	PUNCT
ejpam-4765	103	17	,	,	PUNCT
ejpam-4765	103	18	then	then	ADV
ejpam-4765	103	19	the	the	DET
ejpam-4765	103	20	second	second	ADJ
ejpam-4765	103	21	moment	moment	NOUN
ejpam-4765	103	22	is	be	AUX
ejpam-4765	103	23	infinite	infinite	ADJ
ejpam-4765	103	24	,	,	PUNCT
ejpam-4765	103	25	and	and	CCONJ
ejpam-4765	103	26	so	so	ADV
ejpam-4765	103	27	the	the	DET
ejpam-4765	103	28	asymptotic	asymptotic	ADJ
ejpam-4765	103	29	normality	normality	NOUN
ejpam-4765	103	30	of	of	ADP
ejpam-4765	103	31	the	the	DET
ejpam-4765	103	32	estimator	estimator	NOUN
ejpam-4765	103	33	η̂n(α	η̂n(α	PROPN
ejpam-4765	103	34	,	,	PUNCT
ejpam-4765	103	35	β	β	X
ejpam-4765	103	36	)	)	PUNCT
ejpam-4765	103	37	is	be	AUX
ejpam-4765	103	38	violated	violate	VERB
ejpam-4765	103	39	(	(	PUNCT
ejpam-4765	103	40	see	see	VERB
ejpam-4765	103	41	,	,	PUNCT
ejpam-4765	103	42	[	[	X
ejpam-4765	103	43	29	29	NUM
ejpam-4765	103	44	]	]	PUNCT
ejpam-4765	103	45	)	)	PUNCT
ejpam-4765	103	46	.	.	PUNCT
ejpam-4765	104	1	the	the	DET
ejpam-4765	104	2	last	last	ADJ
ejpam-4765	104	3	situation	situation	NOUN
ejpam-4765	104	4	motivate	motivate	VERB
ejpam-4765	104	5	the	the	DET
ejpam-4765	104	6	need	need	NOUN
ejpam-4765	104	7	of	of	ADP
ejpam-4765	104	8	a	a	DET
ejpam-4765	104	9	specific	specific	ADJ
ejpam-4765	104	10	estimator	estimator	NOUN
ejpam-4765	104	11	of	of	ADP
ejpam-4765	104	12	the	the	DET
ejpam-4765	104	13	qsr	qsr	PROPN
ejpam-4765	104	14	index	index	NOUN
ejpam-4765	104	15	for	for	ADP
ejpam-4765	104	16	heavytailed	heavytailed	ADJ
ejpam-4765	104	17	income	income	NOUN
ejpam-4765	104	18	distributions	distribution	NOUN
ejpam-4765	104	19	with	with	ADP
ejpam-4765	104	20	infinite	infinite	ADJ
ejpam-4765	104	21	second	second	ADJ
ejpam-4765	104	22	moments	moment	NOUN
ejpam-4765	104	23	.	.	PUNCT
ejpam-4765	105	1	the	the	DET
ejpam-4765	105	2	class	class	NOUN
ejpam-4765	105	3	of	of	ADP
ejpam-4765	105	4	heavy	heavy	ADJ
ejpam-4765	105	5	-	-	PUNCT
ejpam-4765	105	6	tailed	tail	VERB
ejpam-4765	105	7	distributions	distribution	NOUN
ejpam-4765	105	8	(	(	PUNCT
ejpam-4765	105	9	the	the	DET
ejpam-4765	105	10	so	so	ADV
ejpam-4765	105	11	-	-	PUNCT
ejpam-4765	105	12	called	call	VERB
ejpam-4765	105	13	pareto	pareto	VERB
ejpam-4765	105	14	-	-	PUNCT
ejpam-4765	105	15	type	type	NOUN
ejpam-4765	105	16	distributions	distribution	NOUN
ejpam-4765	105	17	)	)	PUNCT
ejpam-4765	105	18	includes	include	VERB
ejpam-4765	105	19	distributions	distribution	NOUN
ejpam-4765	105	20	such	such	ADJ
ejpam-4765	105	21	as	as	ADP
ejpam-4765	105	22	pareto	pareto	ADJ
ejpam-4765	105	23	,	,	PUNCT
ejpam-4765	105	24	burr	burr	NOUN
ejpam-4765	105	25	,	,	PUNCT
ejpam-4765	105	26	student	student	NOUN
ejpam-4765	105	27	,	,	PUNCT
ejpam-4765	105	28	lévy	lévy	NOUN
ejpam-4765	105	29	-	-	ADJ
ejpam-4765	105	30	stable	stable	ADJ
ejpam-4765	105	31	,	,	PUNCT
ejpam-4765	105	32	and	and	CCONJ
ejpam-4765	105	33	log	log	NOUN
ejpam-4765	105	34	-	-	PUNCT
ejpam-4765	105	35	gamma	gamma	NOUN
ejpam-4765	105	36	which	which	PRON
ejpam-4765	105	37	are	be	AUX
ejpam-4765	105	38	known	know	VERB
ejpam-4765	105	39	to	to	PART
ejpam-4765	105	40	be	be	AUX
ejpam-4765	105	41	appropriate	appropriate	ADJ
ejpam-4765	105	42	models	model	NOUN
ejpam-4765	105	43	in	in	ADP
ejpam-4765	105	44	extreme	extreme	ADJ
ejpam-4765	105	45	value	value	NOUN
ejpam-4765	105	46	theory	theory	NOUN
ejpam-4765	105	47	for	for	ADP
ejpam-4765	105	48	fitting	fitting	ADJ
ejpam-4765	105	49	large	large	ADJ
ejpam-4765	105	50	insurance	insurance	NOUN
ejpam-4765	105	51	claims	claim	NOUN
ejpam-4765	105	52	,	,	PUNCT
ejpam-4765	105	53	large	large	ADJ
ejpam-4765	105	54	fluctuations	fluctuation	NOUN
ejpam-4765	105	55	of	of	ADP
ejpam-4765	105	56	prices	price	NOUN
ejpam-4765	105	57	,	,	PUNCT
ejpam-4765	105	58	log	log	NOUN
ejpam-4765	105	59	-	-	PUNCT
ejpam-4765	105	60	returns	return	NOUN
ejpam-4765	105	61	,	,	PUNCT
ejpam-4765	105	62	incomes	income	NOUN
ejpam-4765	105	63	of	of	ADP
ejpam-4765	105	64	countries	country	NOUN
ejpam-4765	105	65	with	with	ADP
ejpam-4765	105	66	very	very	ADV
ejpam-4765	105	67	high	high	ADJ
ejpam-4765	105	68	economic	economic	ADJ
ejpam-4765	105	69	inequality	inequality	NOUN
ejpam-4765	105	70	,	,	PUNCT
ejpam-4765	105	71	etc	etc	X
ejpam-4765	105	72	.	.	X
ejpam-4765	105	73	(	(	PUNCT
ejpam-4765	105	74	see	see	VERB
ejpam-4765	105	75	,	,	PUNCT
ejpam-4765	105	76	e.g.	e.g.	ADV
ejpam-4765	105	77	,	,	PUNCT
ejpam-4765	105	78	[	[	X
ejpam-4765	105	79	2	2	NUM
ejpam-4765	105	80	]	]	PUNCT
ejpam-4765	105	81	;	;	PUNCT
ejpam-4765	106	1	[	[	X
ejpam-4765	106	2	3	3	NUM
ejpam-4765	106	3	]	]	PUNCT
ejpam-4765	106	4	;	;	PUNCT
ejpam-4765	106	5	[	[	X
ejpam-4765	106	6	4	4	NUM
ejpam-4765	106	7	]	]	PUNCT
ejpam-4765	106	8	;	;	PUNCT
ejpam-4765	107	1	[	[	X
ejpam-4765	107	2	11	11	NUM
ejpam-4765	107	3	]	]	PUNCT
ejpam-4765	107	4	;	;	PUNCT
ejpam-4765	107	5	[	[	X
ejpam-4765	107	6	13	13	NUM
ejpam-4765	107	7	]	]	PUNCT
ejpam-4765	107	8	;	;	PUNCT
ejpam-4765	107	9	[	[	X
ejpam-4765	107	10	14	14	NUM
ejpam-4765	107	11	]	]	X
ejpam-4765	107	12	;	;	PUNCT
ejpam-4765	108	1	[	[	X
ejpam-4765	108	2	15	15	NUM
ejpam-4765	108	3	]	]	X
ejpam-4765	108	4	;	;	PUNCT
ejpam-4765	109	1	[	[	X
ejpam-4765	109	2	25	25	NUM
ejpam-4765	109	3	]	]	PUNCT
ejpam-4765	109	4	;	;	PUNCT
ejpam-4765	110	1	[	[	X
ejpam-4765	110	2	34	34	NUM
ejpam-4765	110	3	]	]	X
ejpam-4765	110	4	;	;	PUNCT
ejpam-4765	110	5	[	[	X
ejpam-4765	110	6	39	39	NUM
ejpam-4765	110	7	]	]	PUNCT
ejpam-4765	110	8	;	;	PUNCT
ejpam-4765	111	1	[	[	X
ejpam-4765	111	2	41	41	NUM
ejpam-4765	111	3	]	]	PUNCT
ejpam-4765	111	4	)	)	PUNCT
ejpam-4765	111	5	.	.	PUNCT
ejpam-4765	112	1	to	to	PART
ejpam-4765	112	2	better	well	ADV
ejpam-4765	112	3	understand	understand	VERB
ejpam-4765	112	4	the	the	DET
ejpam-4765	112	5	heavy	heavy	ADV
ejpam-4765	112	6	-	-	PUNCT
ejpam-4765	112	7	tailed	tail	VERB
ejpam-4765	112	8	distribution	distribution	NOUN
ejpam-4765	112	9	and	and	CCONJ
ejpam-4765	112	10	the	the	DET
ejpam-4765	112	11	inequality	inequality	NOUN
ejpam-4765	112	12	of	of	ADP
ejpam-4765	112	13	capital	capital	NOUN
ejpam-4765	112	14	incomes	income	NOUN
ejpam-4765	112	15	,	,	PUNCT
ejpam-4765	112	16	which	which	PRON
ejpam-4765	112	17	are	be	AUX
ejpam-4765	112	18	governed	govern	VERB
ejpam-4765	112	19	by	by	ADP
ejpam-4765	112	20	the	the	DET
ejpam-4765	112	21	unknown	unknown	ADJ
ejpam-4765	112	22	extreme	extreme	ADJ
ejpam-4765	112	23	value	value	NOUN
ejpam-4765	112	24	index	index	NOUN
ejpam-4765	112	25	γ	γ	PROPN
ejpam-4765	112	26	,	,	PUNCT
ejpam-4765	112	27	we	we	PRON
ejpam-4765	112	28	make	make	VERB
ejpam-4765	112	29	use	use	NOUN
ejpam-4765	112	30	,	,	PUNCT
ejpam-4765	112	31	in	in	ADP
ejpam-4765	112	32	this	this	DET
ejpam-4765	112	33	paper	paper	NOUN
ejpam-4765	112	34	,	,	PUNCT
ejpam-4765	112	35	of	of	ADP
ejpam-4765	112	36	the	the	DET
ejpam-4765	112	37	extreme	extreme	ADJ
ejpam-4765	112	38	value	value	NOUN
ejpam-4765	112	39	methodology	methodology	NOUN
ejpam-4765	112	40	and	and	CCONJ
ejpam-4765	112	41	propose	propose	VERB
ejpam-4765	112	42	asymptotically	asymptotically	ADV
ejpam-4765	112	43	normal	normal	ADJ
ejpam-4765	112	44	estimators	estimator	NOUN
ejpam-4765	112	45	of	of	ADP
ejpam-4765	112	46	the	the	DET
ejpam-4765	112	47	qsr	qsr	PROPN
ejpam-4765	112	48	index	index	NOUN
ejpam-4765	112	49	η(q	η(q	NOUN
ejpam-4765	112	50	,	,	PUNCT
ejpam-4765	112	51	α	α	NOUN
ejpam-4765	112	52	,	,	PUNCT
ejpam-4765	112	53	β	β	NOUN
ejpam-4765	112	54	)	)	PUNCT
ejpam-4765	112	55	.	.	PUNCT
ejpam-4765	113	1	the	the	DET
ejpam-4765	113	2	following	follow	VERB
ejpam-4765	113	3	section	section	NOUN
ejpam-4765	113	4	concerns	concern	VERB
ejpam-4765	113	5	a	a	DET
ejpam-4765	113	6	class	class	NOUN
ejpam-4765	113	7	of	of	ADP
ejpam-4765	113	8	semi	semi	ADJ
ejpam-4765	113	9	-	-	ADJ
ejpam-4765	113	10	parametric	parametric	ADJ
ejpam-4765	113	11	estimators	estimator	NOUN
ejpam-4765	113	12	of	of	ADP
ejpam-4765	113	13	the	the	DET
ejpam-4765	113	14	qsr	qsr	PROPN
ejpam-4765	113	15	index	index	NOUN
ejpam-4765	113	16	η(q	η(q	NOUN
ejpam-4765	113	17	,	,	PUNCT
ejpam-4765	113	18	α	α	NOUN
ejpam-4765	113	19	,	,	PUNCT
ejpam-4765	113	20	β	β	NOUN
ejpam-4765	113	21	)	)	PUNCT
ejpam-4765	113	22	for	for	ADP
ejpam-4765	113	23	heavy	heavy	ADJ
ejpam-4765	113	24	-	-	PUNCT
ejpam-4765	113	25	tailed	tail	VERB
ejpam-4765	113	26	income	income	NOUN
ejpam-4765	113	27	distributions	distribution	NOUN
ejpam-4765	113	28	with	with	ADP
ejpam-4765	113	29	infinite	infinite	ADJ
ejpam-4765	113	30	second	second	ADJ
ejpam-4765	113	31	order	order	NOUN
ejpam-4765	113	32	moments	moment	NOUN
ejpam-4765	113	33	.	.	PUNCT
ejpam-4765	114	1	3	3	X
ejpam-4765	114	2	.	.	PUNCT
ejpam-4765	114	3	kernel	kernel	PROPN
ejpam-4765	114	4	estimation	estimation	NOUN
ejpam-4765	114	5	of	of	ADP
ejpam-4765	114	6	the	the	DET
ejpam-4765	114	7	quintile	quintile	NOUN
ejpam-4765	114	8	share	share	PROPN
ejpam-4765	114	9	ratio	ratio	NOUN
ejpam-4765	114	10	index	index	NOUN
ejpam-4765	114	11	in	in	ADP
ejpam-4765	114	12	the	the	DET
ejpam-4765	114	13	rest	rest	NOUN
ejpam-4765	114	14	of	of	ADP
ejpam-4765	114	15	this	this	DET
ejpam-4765	114	16	paper	paper	NOUN
ejpam-4765	114	17	,	,	PUNCT
ejpam-4765	114	18	we	we	PRON
ejpam-4765	114	19	shall	shall	AUX
ejpam-4765	114	20	be	be	AUX
ejpam-4765	114	21	concerned	concern	VERB
ejpam-4765	114	22	with	with	ADP
ejpam-4765	114	23	heavy	heavy	ADJ
ejpam-4765	114	24	-	-	PUNCT
ejpam-4765	114	25	tailed	tail	VERB
ejpam-4765	114	26	capital	capital	NOUN
ejpam-4765	114	27	income	income	NOUN
ejpam-4765	114	28	distributions	distribution	NOUN
ejpam-4765	114	29	with	with	ADP
ejpam-4765	114	30	index	index	NOUN
ejpam-4765	114	31	in	in	ADP
ejpam-4765	114	32	the	the	DET
ejpam-4765	114	33	upper	upper	ADJ
ejpam-4765	114	34	half	half	NOUN
ejpam-4765	114	35	of	of	ADP
ejpam-4765	114	36	the	the	DET
ejpam-4765	114	37	unit	unit	NOUN
ejpam-4765	114	38	interval	interval	NOUN
ejpam-4765	114	39	.	.	PUNCT
ejpam-4765	115	1	more	more	ADV
ejpam-4765	115	2	precisely	precisely	ADV
ejpam-4765	115	3	,	,	PUNCT
ejpam-4765	115	4	we	we	PRON
ejpam-4765	115	5	will	will	AUX
ejpam-4765	115	6	deal	deal	VERB
ejpam-4765	115	7	with	with	ADP
ejpam-4765	115	8	the	the	DET
ejpam-4765	115	9	case	case	NOUN
ejpam-4765	115	10	where	where	SCONJ
ejpam-4765	115	11	f	f	PROPN
ejpam-4765	115	12	satisfies	satisfy	VERB
ejpam-4765	115	13	f	f	PROPN
ejpam-4765	115	14	(	(	PUNCT
ejpam-4765	115	15	x	x	NOUN
ejpam-4765	115	16	)	)	PUNCT
ejpam-4765	115	17	=	=	SYM
ejpam-4765	115	18	x−1	x−1	PROPN
ejpam-4765	115	19	/	/	SYM
ejpam-4765	115	20	γℓf	γℓf	NOUN
ejpam-4765	115	21	(	(	PUNCT
ejpam-4765	115	22	x	x	NOUN
ejpam-4765	115	23	)	)	PUNCT
ejpam-4765	115	24	,	,	PUNCT
ejpam-4765	115	25	x	x	X
ejpam-4765	115	26	>	>	X
ejpam-4765	115	27	0	0	NUM
ejpam-4765	115	28	,	,	PUNCT
ejpam-4765	115	29	1/2	1/2	NUM
ejpam-4765	115	30	<	<	X
ejpam-4765	115	31	γ	γ	X
ejpam-4765	115	32	<	<	X
ejpam-4765	115	33	1	1	NUM
ejpam-4765	115	34	.	.	PUNCT
ejpam-4765	116	1	(	(	PUNCT
ejpam-4765	116	2	6	6	X
ejpam-4765	116	3	)	)	PUNCT
ejpam-4765	116	4	we	we	PRON
ejpam-4765	116	5	have	have	AUX
ejpam-4765	116	6	mentioned	mention	VERB
ejpam-4765	116	7	above	above	ADV
ejpam-4765	116	8	that	that	SCONJ
ejpam-4765	116	9	the	the	DET
ejpam-4765	116	10	tail	tail	NOUN
ejpam-4765	116	11	index	index	NOUN
ejpam-4765	116	12	γ	γ	PROPN
ejpam-4765	116	13	controls	control	VERB
ejpam-4765	116	14	the	the	DET
ejpam-4765	116	15	behavior	behavior	NOUN
ejpam-4765	116	16	of	of	ADP
ejpam-4765	116	17	income	income	NOUN
ejpam-4765	116	18	distribution	distribution	NOUN
ejpam-4765	116	19	f	f	PROPN
ejpam-4765	116	20	and	and	CCONJ
ejpam-4765	116	21	its	its	PRON
ejpam-4765	116	22	finite	finite	ADJ
ejpam-4765	116	23	variance	variance	NOUN
ejpam-4765	116	24	.	.	PUNCT
ejpam-4765	117	1	in	in	ADP
ejpam-4765	117	2	this	this	DET
ejpam-4765	117	3	spirit	spirit	NOUN
ejpam-4765	117	4	,	,	PUNCT
ejpam-4765	117	5	we	we	PRON
ejpam-4765	117	6	shall	shall	AUX
ejpam-4765	117	7	take	take	VERB
ejpam-4765	117	8	into	into	ADP
ejpam-4765	117	9	account	account	NOUN
ejpam-4765	117	10	the	the	DET
ejpam-4765	117	11	estimation	estimation	NOUN
ejpam-4765	117	12	m.	m.	NOUN
ejpam-4765	117	13	kebe	kebe	PROPN
ejpam-4765	117	14	et	et	PROPN
ejpam-4765	117	15	al	al	PROPN
ejpam-4765	117	16	.	.	PUNCT
ejpam-4765	117	17	/	/	SYM
ejpam-4765	117	18	eur	eur	PROPN
ejpam-4765	117	19	.	.	PUNCT
ejpam-4765	118	1	j.	j.	PROPN
ejpam-4765	118	2	pure	pure	PROPN
ejpam-4765	118	3	appl	appl	PROPN
ejpam-4765	118	4	.	.	PROPN
ejpam-4765	118	5	math	math	PROPN
ejpam-4765	118	6	,	,	PUNCT
ejpam-4765	118	7	16	16	NUM
ejpam-4765	118	8	(	(	PUNCT
ejpam-4765	118	9	4	4	NUM
ejpam-4765	118	10	)	)	PUNCT
ejpam-4765	118	11	(	(	PUNCT
ejpam-4765	118	12	2023	2023	NUM
ejpam-4765	118	13	)	)	PUNCT
ejpam-4765	118	14	,	,	PUNCT
ejpam-4765	118	15	2509	2509	NUM
ejpam-4765	118	16	-	-	SYM
ejpam-4765	118	17	2543	2543	NUM
ejpam-4765	118	18	2514	2514	NUM
ejpam-4765	118	19	of	of	ADP
ejpam-4765	118	20	γ	γ	NOUN
ejpam-4765	118	21	in	in	ADP
ejpam-4765	118	22	the	the	DET
ejpam-4765	118	23	construction	construction	NOUN
ejpam-4765	118	24	of	of	ADP
ejpam-4765	118	25	our	our	PRON
ejpam-4765	118	26	class	class	NOUN
ejpam-4765	118	27	of	of	ADP
ejpam-4765	118	28	semi	semi	ADJ
ejpam-4765	118	29	-	-	ADJ
ejpam-4765	118	30	parametric	parametric	ADJ
ejpam-4765	118	31	estimators	estimator	NOUN
ejpam-4765	118	32	for	for	ADP
ejpam-4765	118	33	qsr	qsr	NOUN
ejpam-4765	118	34	index	index	NOUN
ejpam-4765	118	35	η(q	η(q	NOUN
ejpam-4765	118	36	,	,	PUNCT
ejpam-4765	118	37	α	α	NOUN
ejpam-4765	118	38	,	,	PUNCT
ejpam-4765	118	39	β	β	NOUN
ejpam-4765	118	40	)	)	PUNCT
ejpam-4765	118	41	.	.	PUNCT
ejpam-4765	119	1	now	now	ADV
ejpam-4765	119	2	,	,	PUNCT
ejpam-4765	119	3	let	let	VERB
ejpam-4765	119	4	k	k	X
ejpam-4765	119	5	=	=	SYM
ejpam-4765	119	6	k(n	k(n	X
ejpam-4765	119	7	)	)	PUNCT
ejpam-4765	119	8	be	be	VERB
ejpam-4765	119	9	an	an	DET
ejpam-4765	119	10	intermediate	intermediate	ADJ
ejpam-4765	119	11	sequence	sequence	NOUN
ejpam-4765	119	12	of	of	ADP
ejpam-4765	119	13	integers	integer	NOUN
ejpam-4765	119	14	,	,	PUNCT
ejpam-4765	119	15	i.e.	i.e.	X
ejpam-4765	119	16	,	,	PUNCT
ejpam-4765	119	17	a	a	DET
ejpam-4765	119	18	sequence	sequence	NOUN
ejpam-4765	119	19	such	such	ADJ
ejpam-4765	119	20	that	that	SCONJ
ejpam-4765	119	21	:	:	PUNCT
ejpam-4765	119	22	1	1	NUM
ejpam-4765	119	23	<	<	X
ejpam-4765	119	24	k	k	X
ejpam-4765	119	25	<	<	X
ejpam-4765	119	26	n	n	PROPN
ejpam-4765	119	27	,	,	PUNCT
ejpam-4765	119	28	k	k	PROPN
ejpam-4765	119	29	→	→	SYM
ejpam-4765	119	30	∞	∞	PROPN
ejpam-4765	119	31	and	and	CCONJ
ejpam-4765	119	32	k	k	NOUN
ejpam-4765	119	33	/	/	SYM
ejpam-4765	119	34	n	n	PROPN
ejpam-4765	119	35	→	→	SYM
ejpam-4765	119	36	0	0	NUM
ejpam-4765	119	37	as	as	ADP
ejpam-4765	119	38	n	n	PROPN
ejpam-4765	119	39	→	→	PUNCT
ejpam-4765	119	40	∞.	∞.	PROPN
ejpam-4765	119	41	(	(	PUNCT
ejpam-4765	119	42	7	7	X
ejpam-4765	119	43	)	)	PUNCT
ejpam-4765	119	44	using	use	VERB
ejpam-4765	119	45	the	the	DET
ejpam-4765	119	46	same	same	ADJ
ejpam-4765	119	47	arguments	argument	NOUN
ejpam-4765	119	48	as	as	ADP
ejpam-4765	119	49	in	in	ADP
ejpam-4765	119	50	[	[	PUNCT
ejpam-4765	119	51	34	34	NUM
ejpam-4765	119	52	]	]	PUNCT
ejpam-4765	119	53	,	,	PUNCT
ejpam-4765	119	54	the	the	DET
ejpam-4765	119	55	qsr	qsr	PROPN
ejpam-4765	119	56	index	index	NOUN
ejpam-4765	119	57	can	can	AUX
ejpam-4765	119	58	be	be	AUX
ejpam-4765	119	59	decomposed	decompose	VERB
ejpam-4765	119	60	for	for	ADP
ejpam-4765	119	61	0	0	NUM
ejpam-4765	119	62	<	<	X
ejpam-4765	119	63	α	α	X
ejpam-4765	119	64	<	<	X
ejpam-4765	119	65	β	β	X
ejpam-4765	119	66	<	<	X
ejpam-4765	119	67	1	1	NUM
ejpam-4765	119	68	−	−	PROPN
ejpam-4765	119	69	k	k	NOUN
ejpam-4765	119	70	/	/	SYM
ejpam-4765	119	71	n	n	PROPN
ejpam-4765	119	72	as	as	SCONJ
ejpam-4765	119	73	follows	follow	VERB
ejpam-4765	119	74	:	:	PUNCT
ejpam-4765	119	75	η(q	η(q	NOUN
ejpam-4765	119	76	)	)	PUNCT
ejpam-4765	119	77	,	,	PUNCT
ejpam-4765	119	78	α	α	X
ejpam-4765	119	79	,	,	PUNCT
ejpam-4765	119	80	β	β	NOUN
ejpam-4765	119	81	)	)	PUNCT
ejpam-4765	119	82	:	:	PUNCT
ejpam-4765	120	1	=	=	SYM
ejpam-4765	120	2	1	1	NUM
ejpam-4765	120	3	l(q	l(q	PROPN
ejpam-4765	120	4	,	,	PUNCT
ejpam-4765	120	5	α	α	X
ejpam-4765	120	6	)	)	PUNCT
ejpam-4765	120	7	{	{	PUNCT
ejpam-4765	120	8	∫	∫	PROPN
ejpam-4765	120	9	1−k	1−k	NUM
ejpam-4765	120	10	/	/	SYM
ejpam-4765	120	11	n	n	PROPN
ejpam-4765	120	12	β	β	X
ejpam-4765	120	13	q(s)ds	q(s)ds	PROPN
ejpam-4765	120	14	+	+	CCONJ
ejpam-4765	120	15	∫	∫	PROPN
ejpam-4765	120	16	1	1	NUM
ejpam-4765	120	17	1−k	1−k	NUM
ejpam-4765	120	18	/	/	SYM
ejpam-4765	120	19	n	n	PROPN
ejpam-4765	120	20	q(s)ds	q(s)ds	PROPN
ejpam-4765	120	21	}	}	PUNCT
ejpam-4765	120	22	.	.	PUNCT
ejpam-4765	121	1	(	(	PUNCT
ejpam-4765	121	2	8)	8)	NUM
ejpam-4765	121	3	as	as	SCONJ
ejpam-4765	121	4	mentioned	mention	VERB
ejpam-4765	121	5	above	above	ADV
ejpam-4765	121	6	,	,	PUNCT
ejpam-4765	121	7	one	one	PRON
ejpam-4765	121	8	can	can	AUX
ejpam-4765	121	9	estimate	estimate	VERB
ejpam-4765	121	10	the	the	DET
ejpam-4765	121	11	moderate	moderate	ADJ
ejpam-4765	121	12	quantile	quantile	NOUN
ejpam-4765	121	13	q(s	q(s	NOUN
ejpam-4765	121	14	)	)	PUNCT
ejpam-4765	121	15	,	,	PUNCT
ejpam-4765	121	16	β	β	X
ejpam-4765	121	17	≤	≤	NUM
ejpam-4765	121	18	s	s	PART
ejpam-4765	121	19	≤	≤	NUM
ejpam-4765	121	20	1	1	NUM
ejpam-4765	121	21	−	−	NOUN
ejpam-4765	121	22	k	k	NOUN
ejpam-4765	121	23	/	/	SYM
ejpam-4765	121	24	n	n	PROPN
ejpam-4765	121	25	by	by	ADP
ejpam-4765	121	26	its	its	PRON
ejpam-4765	121	27	empirical	empirical	ADJ
ejpam-4765	121	28	estimator	estimator	NOUN
ejpam-4765	121	29	qn(s	qn(s	NUM
ejpam-4765	121	30	)	)	PUNCT
ejpam-4765	121	31	.	.	PUNCT
ejpam-4765	122	1	but	but	CCONJ
ejpam-4765	122	2	the	the	DET
ejpam-4765	122	3	case	case	NOUN
ejpam-4765	122	4	where	where	SCONJ
ejpam-4765	122	5	1	1	NUM
ejpam-4765	122	6	−	−	NOUN
ejpam-4765	122	7	k	k	NOUN
ejpam-4765	122	8	/	/	SYM
ejpam-4765	122	9	n	n	PROPN
ejpam-4765	122	10	<	<	X
ejpam-4765	122	11	s	s	X
ejpam-4765	122	12	<	<	X
ejpam-4765	122	13	1	1	NUM
ejpam-4765	122	14	corresponds	correspond	NOUN
ejpam-4765	122	15	to	to	ADP
ejpam-4765	122	16	high	high	ADJ
ejpam-4765	122	17	quantiles	quantile	NOUN
ejpam-4765	122	18	i.e	i.e	PRON
ejpam-4765	122	19	q(s	q(s	NOUN
ejpam-4765	122	20	)	)	PUNCT
ejpam-4765	122	21	,	,	PUNCT
ejpam-4765	122	22	s	s	X
ejpam-4765	122	23	→	→	SYM
ejpam-4765	122	24	1	1	NUM
ejpam-4765	122	25	and	and	CCONJ
ejpam-4765	122	26	it	it	PRON
ejpam-4765	122	27	is	be	AUX
ejpam-4765	122	28	not	not	PART
ejpam-4765	122	29	possible	possible	ADJ
ejpam-4765	122	30	to	to	PART
ejpam-4765	122	31	use	use	VERB
ejpam-4765	122	32	the	the	DET
ejpam-4765	122	33	empirical	empirical	ADJ
ejpam-4765	122	34	estimation	estimation	NOUN
ejpam-4765	122	35	qn(s	qn(s	NUM
ejpam-4765	122	36	)	)	PUNCT
ejpam-4765	122	37	.	.	PUNCT
ejpam-4765	123	1	under	under	ADP
ejpam-4765	123	2	the	the	DET
ejpam-4765	123	3	first	first	ADJ
ejpam-4765	123	4	order	order	NOUN
ejpam-4765	123	5	regularly	regularly	ADV
ejpam-4765	123	6	varying	vary	VERB
ejpam-4765	123	7	condition	condition	NOUN
ejpam-4765	123	8	(	(	PUNCT
ejpam-4765	123	9	5	5	NUM
ejpam-4765	123	10	)	)	PUNCT
ejpam-4765	123	11	,	,	PUNCT
ejpam-4765	123	12	we	we	PRON
ejpam-4765	123	13	have	have	VERB
ejpam-4765	123	14	q(1−zs	q(1−z	NOUN
ejpam-4765	123	15	)	)	PUNCT
ejpam-4765	123	16	≈	≈	PROPN
ejpam-4765	123	17	z−γq(1−s	z−γq(1−s	NUM
ejpam-4765	123	18	)	)	PUNCT
ejpam-4765	123	19	,	,	PUNCT
ejpam-4765	123	20	s	s	X
ejpam-4765	123	21	→	→	SYM
ejpam-4765	123	22	0	0	NUM
ejpam-4765	123	23	.	.	PUNCT
ejpam-4765	124	1	by	by	ADP
ejpam-4765	124	2	setting	set	VERB
ejpam-4765	124	3	zs	zs	X
ejpam-4765	124	4	=	=	SYM
ejpam-4765	124	5	1	1	NUM
ejpam-4765	124	6	−	−	PROPN
ejpam-4765	124	7	u	u	NOUN
ejpam-4765	124	8	and	and	CCONJ
ejpam-4765	124	9	s	s	NOUN
ejpam-4765	124	10	=	=	ADJ
ejpam-4765	124	11	k	k	PROPN
ejpam-4765	124	12	/	/	SYM
ejpam-4765	124	13	n	n	CCONJ
ejpam-4765	124	14	,	,	PUNCT
ejpam-4765	124	15	we	we	PRON
ejpam-4765	124	16	obtain	obtain	VERB
ejpam-4765	124	17	the	the	DET
ejpam-4765	124	18	following	follow	VERB
ejpam-4765	124	19	approximation	approximation	NOUN
ejpam-4765	124	20	:	:	PUNCT
ejpam-4765	124	21	q(u	q(u	X
ejpam-4765	124	22	)	)	PUNCT
ejpam-4765	125	1	≈	≈	PROPN
ejpam-4765	125	2	(	(	PUNCT
ejpam-4765	125	3	n(1	n(1	NOUN
ejpam-4765	125	4	−	−	NOUN
ejpam-4765	125	5	u)/k)−γq(1	u)/k)−γq(1	ADJ
ejpam-4765	125	6	−	−	PROPN
ejpam-4765	125	7	k	k	PROPN
ejpam-4765	125	8	/	/	SYM
ejpam-4765	125	9	n	n	CCONJ
ejpam-4765	125	10	)	)	PUNCT
ejpam-4765	125	11	,	,	PUNCT
ejpam-4765	125	12	u	u	NOUN
ejpam-4765	125	13	→	→	SYM
ejpam-4765	125	14	1	1	NUM
ejpam-4765	125	15	.	.	PUNCT
ejpam-4765	125	16	(	(	PUNCT
ejpam-4765	125	17	9	9	X
ejpam-4765	125	18	)	)	PUNCT
ejpam-4765	125	19	this	this	PRON
ejpam-4765	125	20	leads	lead	VERB
ejpam-4765	125	21	to	to	ADP
ejpam-4765	125	22	the	the	DET
ejpam-4765	125	23	following	follow	VERB
ejpam-4765	125	24	weissman	weissman	PROPN
ejpam-4765	125	25	’s	’s	PART
ejpam-4765	125	26	type	type	NOUN
ejpam-4765	125	27	estimator	estimator	NOUN
ejpam-4765	125	28	(	(	PUNCT
ejpam-4765	125	29	[	[	X
ejpam-4765	125	30	42	42	NUM
ejpam-4765	125	31	]	]	PUNCT
ejpam-4765	125	32	)	)	PUNCT
ejpam-4765	125	33	of	of	ADP
ejpam-4765	125	34	high	high	ADJ
ejpam-4765	125	35	quantile	quantile	NOUN
ejpam-4765	125	36	q(u	q(u	NOUN
ejpam-4765	125	37	)	)	PUNCT
ejpam-4765	125	38	,	,	PUNCT
ejpam-4765	125	39	u	u	NOUN
ejpam-4765	125	40	→	→	SYM
ejpam-4765	125	41	1	1	NUM
ejpam-4765	125	42	:	:	PUNCT
ejpam-4765	125	43	q	q	X
ejpam-4765	125	44	(	(	PUNCT
ejpam-4765	125	45	k	k	NOUN
ejpam-4765	125	46	)	)	PUNCT
ejpam-4765	125	47	n	n	CCONJ
ejpam-4765	125	48	,	,	PUNCT
ejpam-4765	125	49	k	k	PROPN
ejpam-4765	125	50	(	(	PUNCT
ejpam-4765	125	51	u	u	NOUN
ejpam-4765	125	52	)	)	PUNCT
ejpam-4765	125	53	=	=	SYM
ejpam-4765	125	54	(	(	PUNCT
ejpam-4765	125	55	n	n	X
ejpam-4765	125	56	k	k	X
ejpam-4765	125	57	(	(	PUNCT
ejpam-4765	125	58	1	1	NUM
ejpam-4765	125	59	−	−	PROPN
ejpam-4765	125	60	u	u	NOUN
ejpam-4765	125	61	)	)	PUNCT
ejpam-4765	125	62	)	)	PUNCT
ejpam-4765	125	63	−γ̂	−γ̂	PART
ejpam-4765	125	64	(	(	PUNCT
ejpam-4765	125	65	k	k	NOUN
ejpam-4765	125	66	)	)	PUNCT
ejpam-4765	125	67	n	n	CCONJ
ejpam-4765	125	68	,	,	PUNCT
ejpam-4765	125	69	k	k	PROPN
ejpam-4765	125	70	xn−k	xn−k	PROPN
ejpam-4765	125	71	,	,	PUNCT
ejpam-4765	125	72	n	n	CCONJ
ejpam-4765	125	73	,	,	PUNCT
ejpam-4765	125	74	(	(	PUNCT
ejpam-4765	125	75	10	10	NUM
ejpam-4765	125	76	)	)	PUNCT
ejpam-4765	125	77	with	with	ADP
ejpam-4765	125	78	γ̂kn	γ̂kn	PROPN
ejpam-4765	125	79	,	,	PUNCT
ejpam-4765	125	80	k	k	PROPN
ejpam-4765	125	81	,	,	PUNCT
ejpam-4765	125	82	the	the	DET
ejpam-4765	125	83	kernel	kernel	PROPN
ejpam-4765	125	84	class	class	NOUN
ejpam-4765	125	85	of	of	ADP
ejpam-4765	125	86	estimators	estimator	NOUN
ejpam-4765	125	87	for	for	ADP
ejpam-4765	125	88	the	the	DET
ejpam-4765	125	89	tail	tail	NOUN
ejpam-4765	125	90	index	index	NOUN
ejpam-4765	125	91	γ	γ	PROPN
ejpam-4765	125	92	,	,	PUNCT
ejpam-4765	125	93	introduced	introduce	VERB
ejpam-4765	125	94	in	in	ADP
ejpam-4765	125	95	[	[	X
ejpam-4765	125	96	9	9	NUM
ejpam-4765	125	97	]	]	PUNCT
ejpam-4765	125	98	and	and	CCONJ
ejpam-4765	125	99	given	give	VERB
ejpam-4765	125	100	by	by	ADP
ejpam-4765	125	101	:	:	PUNCT
ejpam-4765	125	102	γ̂	γ̂	NUM
ejpam-4765	125	103	(	(	PUNCT
ejpam-4765	125	104	k	k	NOUN
ejpam-4765	125	105	)	)	PUNCT
ejpam-4765	125	106	n	n	CCONJ
ejpam-4765	125	107	,	,	PUNCT
ejpam-4765	125	108	k	k	PROPN
ejpam-4765	125	109	=	=	SYM
ejpam-4765	125	110	1	1	NUM
ejpam-4765	125	111	k	k	NOUN
ejpam-4765	125	112	k∑	k∑	PROPN
ejpam-4765	126	1	j=1	j=1	PROPN
ejpam-4765	126	2	jk	jk	PROPN
ejpam-4765	127	1	(	(	PUNCT
ejpam-4765	127	2	j	j	PROPN
ejpam-4765	127	3	k	k	PROPN
ejpam-4765	127	4	+	+	CCONJ
ejpam-4765	127	5	1	1	X
ejpam-4765	127	6	)	)	PUNCT
ejpam-4765	127	7	log	log	NOUN
ejpam-4765	127	8	(	(	PUNCT
ejpam-4765	127	9	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	127	10	xn−j	xn−j	X
ejpam-4765	127	11	,	,	PUNCT
ejpam-4765	127	12	n	n	PROPN
ejpam-4765	127	13	)	)	PUNCT
ejpam-4765	127	14	,	,	PUNCT
ejpam-4765	127	15	(	(	PUNCT
ejpam-4765	127	16	11	11	NUM
ejpam-4765	127	17	)	)	PUNCT
ejpam-4765	127	18	where	where	SCONJ
ejpam-4765	127	19	k	k	PROPN
ejpam-4765	127	20	is	be	AUX
ejpam-4765	127	21	a	a	DET
ejpam-4765	127	22	kernel	kernel	NOUN
ejpam-4765	127	23	integrating	integrate	VERB
ejpam-4765	127	24	to	to	ADP
ejpam-4765	127	25	one	one	NUM
ejpam-4765	127	26	.	.	PUNCT
ejpam-4765	128	1	note	note	VERB
ejpam-4765	128	2	that	that	SCONJ
ejpam-4765	128	3	in	in	ADP
ejpam-4765	128	4	the	the	DET
ejpam-4765	128	5	particular	particular	ADJ
ejpam-4765	128	6	case	case	NOUN
ejpam-4765	128	7	where	where	SCONJ
ejpam-4765	128	8	k	k	PROPN
ejpam-4765	128	9	=	=	PUNCT
ejpam-4765	128	10	k	k	PROPN
ejpam-4765	128	11	:	:	PUNCT
ejpam-4765	128	12	=	=	SYM
ejpam-4765	128	13	i(0,1	i(0,1	NUM
ejpam-4765	128	14	)	)	PUNCT
ejpam-4765	128	15	,	,	PUNCT
ejpam-4765	128	16	the	the	DET
ejpam-4765	128	17	estimator	estimator	NOUN
ejpam-4765	128	18	γ̂	γ̂	PROPN
ejpam-4765	128	19	k	k	PROPN
ejpam-4765	128	20	n	n	PROPN
ejpam-4765	128	21	,	,	PUNCT
ejpam-4765	128	22	k	k	PROPN
ejpam-4765	128	23	corresponds	correspond	VERB
ejpam-4765	128	24	to	to	ADP
ejpam-4765	128	25	the	the	DET
ejpam-4765	128	26	well	well	ADV
ejpam-4765	128	27	-	-	PUNCT
ejpam-4765	128	28	known	know	VERB
ejpam-4765	128	29	hill	hill	NOUN
ejpam-4765	128	30	’s	’s	PART
ejpam-4765	128	31	estimator	estimator	NOUN
ejpam-4765	128	32	(	(	PUNCT
ejpam-4765	128	33	[	[	X
ejpam-4765	128	34	27	27	NUM
ejpam-4765	128	35	]	]	SYM
ejpam-4765	128	36	)	)	PUNCT
ejpam-4765	128	37	of	of	ADP
ejpam-4765	128	38	the	the	DET
ejpam-4765	128	39	tail	tail	NOUN
ejpam-4765	128	40	index	index	NOUN
ejpam-4765	128	41	γ	γ	NOUN
ejpam-4765	128	42	defined	define	VERB
ejpam-4765	128	43	by	by	ADP
ejpam-4765	128	44	:	:	PUNCT
ejpam-4765	128	45	γ̂n	γ̂n	NOUN
ejpam-4765	128	46	,	,	PUNCT
ejpam-4765	128	47	k	k	X
ejpam-4765	128	48	:	:	PUNCT
ejpam-4765	128	49	=	=	SYM
ejpam-4765	128	50	γ̂	γ̂	X
ejpam-4765	128	51	(	(	PUNCT
ejpam-4765	128	52	k	k	NOUN
ejpam-4765	128	53	)	)	PUNCT
ejpam-4765	128	54	n	n	CCONJ
ejpam-4765	128	55	,	,	PUNCT
ejpam-4765	128	56	k	k	PROPN
ejpam-4765	128	57	=	=	SYM
ejpam-4765	128	58	1	1	NUM
ejpam-4765	128	59	k	k	NOUN
ejpam-4765	128	60	k∑	k∑	PROPN
ejpam-4765	129	1	j=1	j=1	PROPN
ejpam-4765	129	2	j	j	PROPN
ejpam-4765	129	3	log	log	NOUN
ejpam-4765	129	4	(	(	PUNCT
ejpam-4765	129	5	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	129	6	xn−j	xn−j	X
ejpam-4765	129	7	,	,	PUNCT
ejpam-4765	129	8	n	n	PROPN
ejpam-4765	129	9	)	)	PUNCT
ejpam-4765	129	10	.	.	PUNCT
ejpam-4765	130	1	(	(	PUNCT
ejpam-4765	130	2	12	12	NUM
ejpam-4765	130	3	)	)	PUNCT
ejpam-4765	130	4	the	the	DET
ejpam-4765	130	5	estimator	estimator	NOUN
ejpam-4765	130	6	γ̂n	γ̂n	PROPN
ejpam-4765	130	7	,	,	PUNCT
ejpam-4765	130	8	k	k	PROPN
ejpam-4765	130	9	is	be	AUX
ejpam-4765	130	10	the	the	DET
ejpam-4765	130	11	most	most	ADV
ejpam-4765	130	12	popular	popular	ADJ
ejpam-4765	130	13	estimator	estimator	NOUN
ejpam-4765	130	14	of	of	ADP
ejpam-4765	130	15	the	the	DET
ejpam-4765	130	16	tail	tail	NOUN
ejpam-4765	130	17	index	index	NOUN
ejpam-4765	130	18	γ	γ	X
ejpam-4765	130	19	in	in	ADP
ejpam-4765	130	20	the	the	DET
ejpam-4765	130	21	framework	framework	NOUN
ejpam-4765	130	22	of	of	ADP
ejpam-4765	130	23	heavy	heavy	ADJ
ejpam-4765	130	24	-	-	PUNCT
ejpam-4765	130	25	tailed	tail	VERB
ejpam-4765	130	26	distributions	distribution	NOUN
ejpam-4765	130	27	.	.	PUNCT
ejpam-4765	131	1	the	the	DET
ejpam-4765	131	2	weissman	weissman	PROPN
ejpam-4765	131	3	’s	’s	PART
ejpam-4765	131	4	estimator	estimator	NOUN
ejpam-4765	131	5	(	(	PUNCT
ejpam-4765	131	6	[	[	X
ejpam-4765	131	7	42	42	NUM
ejpam-4765	131	8	]	]	PUNCT
ejpam-4765	131	9	)	)	PUNCT
ejpam-4765	131	10	of	of	ADP
ejpam-4765	131	11	high	high	ADJ
ejpam-4765	131	12	quantile	quantile	NOUN
ejpam-4765	131	13	is	be	AUX
ejpam-4765	131	14	thus	thus	ADV
ejpam-4765	131	15	defined	define	VERB
ejpam-4765	131	16	as	as	ADP
ejpam-4765	131	17	q	q	NOUN
ejpam-4765	131	18	(	(	PUNCT
ejpam-4765	131	19	k	k	NOUN
ejpam-4765	131	20	)	)	PUNCT
ejpam-4765	131	21	n	n	CCONJ
ejpam-4765	131	22	,	,	PUNCT
ejpam-4765	131	23	k	k	PROPN
ejpam-4765	131	24	(	(	PUNCT
ejpam-4765	131	25	u	u	NOUN
ejpam-4765	131	26	)	)	PUNCT
ejpam-4765	131	27	.	.	PUNCT
ejpam-4765	132	1	next	next	ADV
ejpam-4765	132	2	,	,	PUNCT
ejpam-4765	132	3	replacing	replace	VERB
ejpam-4765	132	4	in	in	ADP
ejpam-4765	132	5	(	(	PUNCT
ejpam-4765	132	6	8)	8)	NUM
ejpam-4765	132	7	,	,	PUNCT
ejpam-4765	132	8	q(s	q(s	PROPN
ejpam-4765	132	9	)	)	PUNCT
ejpam-4765	132	10	by	by	ADP
ejpam-4765	132	11	its	its	PRON
ejpam-4765	132	12	empirical	empirical	ADJ
ejpam-4765	132	13	quantile	quantile	ADJ
ejpam-4765	132	14	estimator	estimator	NOUN
ejpam-4765	132	15	qn(s	qn(s	NUM
ejpam-4765	132	16	)	)	PUNCT
ejpam-4765	132	17	,	,	PUNCT
ejpam-4765	132	18	for	for	ADP
ejpam-4765	132	19	β	β	PRON
ejpam-4765	132	20	≤	≤	X
ejpam-4765	132	21	s	s	PART
ejpam-4765	132	22	≤	≤	NUM
ejpam-4765	132	23	1−k	1−k	NUM
ejpam-4765	132	24	/	/	SYM
ejpam-4765	132	25	n	n	PROPN
ejpam-4765	132	26	and	and	CCONJ
ejpam-4765	132	27	by	by	ADP
ejpam-4765	132	28	its	its	PRON
ejpam-4765	132	29	high	high	ADJ
ejpam-4765	132	30	quantiles	quantile	NOUN
ejpam-4765	132	31	estimator	estimator	NOUN
ejpam-4765	132	32	q	q	PROPN
ejpam-4765	132	33	(	(	PUNCT
ejpam-4765	132	34	k	k	NOUN
ejpam-4765	132	35	)	)	PUNCT
ejpam-4765	132	36	n	n	CCONJ
ejpam-4765	132	37	,	,	PUNCT
ejpam-4765	132	38	k	k	PROPN
ejpam-4765	132	39	(	(	PUNCT
ejpam-4765	132	40	s	s	NOUN
ejpam-4765	132	41	)	)	PUNCT
ejpam-4765	132	42	,	,	PUNCT
ejpam-4765	132	43	for	for	ADP
ejpam-4765	132	44	1−k	1−k	NUM
ejpam-4765	132	45	/	/	SYM
ejpam-4765	132	46	n	n	NOUN
ejpam-4765	132	47	<	<	X
ejpam-4765	132	48	s	s	X
ejpam-4765	132	49	<	<	X
ejpam-4765	132	50	1	1	NUM
ejpam-4765	132	51	,	,	PUNCT
ejpam-4765	132	52	we	we	PRON
ejpam-4765	132	53	arrive	arrive	VERB
ejpam-4765	132	54	at	at	ADP
ejpam-4765	132	55	the	the	DET
ejpam-4765	132	56	following	follow	VERB
ejpam-4765	132	57	kernel	kernel	ADJ
ejpam-4765	132	58	-	-	PUNCT
ejpam-4765	132	59	type	type	NOUN
ejpam-4765	132	60	estimators	estimator	NOUN
ejpam-4765	132	61	of	of	ADP
ejpam-4765	132	62	η(q	η(q	NOUN
ejpam-4765	132	63	,	,	PUNCT
ejpam-4765	132	64	α	α	NOUN
ejpam-4765	132	65	,	,	PUNCT
ejpam-4765	132	66	β	β	NOUN
ejpam-4765	132	67	)	)	PUNCT
ejpam-4765	132	68	,	,	PUNCT
ejpam-4765	132	69	0	0	NUM
ejpam-4765	132	70	<	<	X
ejpam-4765	132	71	α	α	X
ejpam-4765	132	72	<	<	X
ejpam-4765	132	73	β	β	X
ejpam-4765	132	74	<	<	X
ejpam-4765	132	75	1	1	NUM
ejpam-4765	132	76	−	−	PROPN
ejpam-4765	132	77	k	k	NOUN
ejpam-4765	132	78	/	/	SYM
ejpam-4765	132	79	n	n	CCONJ
ejpam-4765	132	80	:	:	PUNCT
ejpam-4765	132	81	η̂	η̂	PROPN
ejpam-4765	132	82	(	(	PUNCT
ejpam-4765	132	83	k	k	NOUN
ejpam-4765	132	84	)	)	PUNCT
ejpam-4765	132	85	n	n	CCONJ
ejpam-4765	132	86	,	,	PUNCT
ejpam-4765	132	87	k	k	PROPN
ejpam-4765	132	88	(	(	PUNCT
ejpam-4765	132	89	α	α	NOUN
ejpam-4765	132	90	,	,	PUNCT
ejpam-4765	132	91	β	β	NOUN
ejpam-4765	132	92	)	)	PUNCT
ejpam-4765	132	93	=	=	SYM
ejpam-4765	132	94	1	1	NUM
ejpam-4765	132	95	ln(α	ln(α	PROPN
ejpam-4765	132	96	)	)	PUNCT
ejpam-4765	132	97	{	{	PUNCT
ejpam-4765	132	98	∫	∫	PROPN
ejpam-4765	132	99	1−k	1−k	NUM
ejpam-4765	132	100	/	/	SYM
ejpam-4765	132	101	n	n	PROPN
ejpam-4765	132	102	β	β	NOUN
ejpam-4765	132	103	qn(s)ds	qn(s)ds	PROPN
ejpam-4765	133	1	+	+	CCONJ
ejpam-4765	133	2	∫	∫	PROPN
ejpam-4765	133	3	1	1	NUM
ejpam-4765	133	4	1−k	1−k	NUM
ejpam-4765	133	5	/	/	SYM
ejpam-4765	133	6	n	n	NOUN
ejpam-4765	133	7	q	q	NOUN
ejpam-4765	133	8	(	(	PUNCT
ejpam-4765	133	9	k	k	NOUN
ejpam-4765	133	10	)	)	PUNCT
ejpam-4765	133	11	n	n	CCONJ
ejpam-4765	133	12	,	,	PUNCT
ejpam-4765	133	13	k	k	PROPN
ejpam-4765	133	14	(	(	PUNCT
ejpam-4765	133	15	s)ds	s)ds	PROPN
ejpam-4765	133	16	}	}	PUNCT
ejpam-4765	133	17	,	,	PUNCT
ejpam-4765	133	18	(	(	PUNCT
ejpam-4765	133	19	13	13	X
ejpam-4765	133	20	)	)	PUNCT
ejpam-4765	133	21	m.	m.	NOUN
ejpam-4765	133	22	kebe	kebe	PROPN
ejpam-4765	133	23	et	et	PROPN
ejpam-4765	133	24	al	al	PROPN
ejpam-4765	133	25	.	.	PUNCT
ejpam-4765	133	26	/	/	SYM
ejpam-4765	133	27	eur	eur	PROPN
ejpam-4765	133	28	.	.	PUNCT
ejpam-4765	134	1	j.	j.	PROPN
ejpam-4765	134	2	pure	pure	PROPN
ejpam-4765	134	3	appl	appl	PROPN
ejpam-4765	134	4	.	.	PROPN
ejpam-4765	134	5	math	math	PROPN
ejpam-4765	134	6	,	,	PUNCT
ejpam-4765	134	7	16	16	NUM
ejpam-4765	134	8	(	(	PUNCT
ejpam-4765	134	9	4	4	NUM
ejpam-4765	134	10	)	)	PUNCT
ejpam-4765	134	11	(	(	PUNCT
ejpam-4765	134	12	2023	2023	NUM
ejpam-4765	134	13	)	)	PUNCT
ejpam-4765	134	14	,	,	PUNCT
ejpam-4765	134	15	2509	2509	NUM
ejpam-4765	134	16	-	-	SYM
ejpam-4765	134	17	2543	2543	NUM
ejpam-4765	134	18	2515	2515	NUM
ejpam-4765	134	19	where	where	SCONJ
ejpam-4765	134	20	ln(α	ln(α	ADV
ejpam-4765	134	21	)	)	PUNCT
ejpam-4765	134	22	=	=	SYM
ejpam-4765	135	1	n−1	n−1	PROPN
ejpam-4765	136	1	[	[	X
ejpam-4765	136	2	nα]∑	nα]∑	PROPN
ejpam-4765	136	3	j=1	j=1	PROPN
ejpam-4765	136	4	xj	xj	PROPN
ejpam-4765	136	5	,	,	PUNCT
ejpam-4765	136	6	n	n	PRON
ejpam-4765	136	7	is	be	AUX
ejpam-4765	136	8	the	the	DET
ejpam-4765	136	9	above	above	ADJ
ejpam-4765	136	10	empirical	empirical	ADJ
ejpam-4765	136	11	estimator	estimator	NOUN
ejpam-4765	136	12	of	of	ADP
ejpam-4765	136	13	the	the	DET
ejpam-4765	136	14	lower	low	ADJ
ejpam-4765	136	15	integral	integral	ADJ
ejpam-4765	136	16	l(α	l(α	PROPN
ejpam-4765	136	17	)	)	PUNCT
ejpam-4765	136	18	,	,	PUNCT
ejpam-4765	136	19	which	which	PRON
ejpam-4765	136	20	can	can	AUX
ejpam-4765	136	21	be	be	AUX
ejpam-4765	136	22	rewritten	rewrite	VERB
ejpam-4765	136	23	as	as	ADP
ejpam-4765	136	24	:	:	PUNCT
ejpam-4765	136	25	η̂	η̂	NUM
ejpam-4765	136	26	(	(	PUNCT
ejpam-4765	136	27	k	k	NOUN
ejpam-4765	136	28	)	)	PUNCT
ejpam-4765	136	29	n	n	CCONJ
ejpam-4765	136	30	,	,	PUNCT
ejpam-4765	136	31	k	k	PROPN
ejpam-4765	136	32	(	(	PUNCT
ejpam-4765	136	33	α	α	NOUN
ejpam-4765	136	34	,	,	PUNCT
ejpam-4765	136	35	β	β	NOUN
ejpam-4765	136	36	)	)	PUNCT
ejpam-4765	136	37	=	=	SYM
ejpam-4765	136	38	1	1	NUM
ejpam-4765	136	39	ln(α	ln(α	ADV
ejpam-4765	136	40	)	)	PUNCT
ejpam-4765	136	41	{	{	PUNCT
ejpam-4765	137	1	n−k∑	n−k∑	NOUN
ejpam-4765	137	2	j=1	j=1	PROPN
ejpam-4765	138	1	[	[	X
ejpam-4765	138	2	(	(	PUNCT
ejpam-4765	138	3	j	j	PROPN
ejpam-4765	138	4	n	n	CCONJ
ejpam-4765	138	5	−	−	PROPN
ejpam-4765	138	6	β	β	NOUN
ejpam-4765	138	7	)	)	PUNCT
ejpam-4765	139	1	+	+	CCONJ
ejpam-4765	139	2	−	−	PROPN
ejpam-4765	139	3	(	(	PUNCT
ejpam-4765	139	4	j	j	NOUN
ejpam-4765	139	5	−	−	PROPN
ejpam-4765	139	6	1	1	NUM
ejpam-4765	139	7	n	n	NUM
ejpam-4765	139	8	−	−	PROPN
ejpam-4765	139	9	β	β	NOUN
ejpam-4765	139	10	)	)	PUNCT
ejpam-4765	140	1	+	+	CCONJ
ejpam-4765	140	2	]	]	PUNCT
ejpam-4765	140	3	xj	xj	PROPN
ejpam-4765	140	4	,	,	PUNCT
ejpam-4765	140	5	n	n	PROPN
ejpam-4765	140	6	+	+	CCONJ
ejpam-4765	140	7	(	(	PUNCT
ejpam-4765	140	8	k	k	NOUN
ejpam-4765	140	9	/	/	SYM
ejpam-4765	140	10	n	n	CCONJ
ejpam-4765	140	11	)	)	PUNCT
ejpam-4765	140	12	1	1	NUM
ejpam-4765	140	13	−	−	NOUN
ejpam-4765	140	14	γ̂	γ̂	PUNCT
ejpam-4765	140	15	(	(	PUNCT
ejpam-4765	140	16	k	k	NOUN
ejpam-4765	140	17	)	)	PUNCT
ejpam-4765	140	18	n	n	CCONJ
ejpam-4765	140	19	,	,	PUNCT
ejpam-4765	140	20	k	k	PROPN
ejpam-4765	140	21	xn−k	xn−k	PROPN
ejpam-4765	140	22	,	,	PUNCT
ejpam-4765	140	23	n	n	CCONJ
ejpam-4765	140	24	}	}	PUNCT
ejpam-4765	140	25	,	,	PUNCT
ejpam-4765	140	26	(	(	PUNCT
ejpam-4765	140	27	14	14	NUM
ejpam-4765	140	28	)	)	PUNCT
ejpam-4765	140	29	where	where	SCONJ
ejpam-4765	140	30	(	(	PUNCT
ejpam-4765	140	31	s	s	NOUN
ejpam-4765	140	32	−	−	PROPN
ejpam-4765	140	33	t)+	t)+	NOUN
ejpam-4765	140	34	is	be	AUX
ejpam-4765	140	35	the	the	DET
ejpam-4765	140	36	classical	classical	ADJ
ejpam-4765	140	37	notation	notation	NOUN
ejpam-4765	140	38	for	for	ADP
ejpam-4765	140	39	the	the	DET
ejpam-4765	140	40	positive	positive	ADJ
ejpam-4765	140	41	part	part	NOUN
ejpam-4765	140	42	of	of	ADP
ejpam-4765	140	43	(	(	PUNCT
ejpam-4765	140	44	s	s	PROPN
ejpam-4765	140	45	−	−	PROPN
ejpam-4765	140	46	t	t	PROPN
ejpam-4765	140	47	)	)	PUNCT
ejpam-4765	140	48	.	.	PUNCT
ejpam-4765	141	1	the	the	DET
ejpam-4765	141	2	estimator	estimator	NOUN
ejpam-4765	141	3	η̂	η̂	PROPN
ejpam-4765	141	4	(	(	PUNCT
ejpam-4765	141	5	k	k	NOUN
ejpam-4765	141	6	)	)	PUNCT
ejpam-4765	141	7	n	n	CCONJ
ejpam-4765	141	8	,	,	PUNCT
ejpam-4765	141	9	k	k	PROPN
ejpam-4765	141	10	(	(	PUNCT
ejpam-4765	141	11	α	α	NOUN
ejpam-4765	141	12	,	,	PUNCT
ejpam-4765	141	13	β	β	NOUN
ejpam-4765	141	14	)	)	PUNCT
ejpam-4765	141	15	generalizes	generalize	VERB
ejpam-4765	141	16	the	the	DET
ejpam-4765	141	17	one	one	NOUN
ejpam-4765	141	18	proposed	propose	VERB
ejpam-4765	141	19	in	in	ADP
ejpam-4765	141	20	[	[	X
ejpam-4765	141	21	15	15	NUM
ejpam-4765	141	22	]	]	PUNCT
ejpam-4765	141	23	,	,	PUNCT
ejpam-4765	141	24	when	when	SCONJ
ejpam-4765	141	25	we	we	PRON
ejpam-4765	141	26	use	use	VERB
ejpam-4765	141	27	a	a	DET
ejpam-4765	141	28	general	general	ADJ
ejpam-4765	141	29	kernel	kernel	NOUN
ejpam-4765	141	30	instead	instead	ADV
ejpam-4765	141	31	of	of	ADP
ejpam-4765	141	32	k.	k.	PROPN
ejpam-4765	141	33	in	in	ADP
ejpam-4765	141	34	the	the	DET
ejpam-4765	141	35	above	above	ADJ
ejpam-4765	141	36	definitions	definition	NOUN
ejpam-4765	141	37	and	and	CCONJ
ejpam-4765	141	38	in	in	ADP
ejpam-4765	141	39	what	what	PRON
ejpam-4765	141	40	follows	follow	VERB
ejpam-4765	141	41	we	we	PRON
ejpam-4765	141	42	indicate	indicate	VERB
ejpam-4765	141	43	by	by	ADP
ejpam-4765	141	44	q	q	PROPN
ejpam-4765	141	45	(	(	PUNCT
ejpam-4765	141	46	·	·	PUNCT
ejpam-4765	141	47	)	)	PUNCT
ejpam-4765	141	48	and	and	CCONJ
ejpam-4765	141	49	qn	qn	INTJ
ejpam-4765	141	50	(	(	PUNCT
ejpam-4765	141	51	·	·	PUNCT
ejpam-4765	141	52	)	)	PUNCT
ejpam-4765	141	53	the	the	DET
ejpam-4765	141	54	quantile	quantile	ADJ
ejpam-4765	141	55	function	function	NOUN
ejpam-4765	141	56	and	and	CCONJ
ejpam-4765	141	57	its	its	PRON
ejpam-4765	141	58	empirical	empirical	ADJ
ejpam-4765	141	59	counterpart	counterpart	NOUN
ejpam-4765	141	60	(	(	PUNCT
ejpam-4765	141	61	both	both	DET
ejpam-4765	141	62	functions	function	NOUN
ejpam-4765	141	63	are	be	AUX
ejpam-4765	141	64	left	leave	VERB
ejpam-4765	141	65	-	-	PUNCT
ejpam-4765	141	66	continuous	continuous	ADJ
ejpam-4765	141	67	)	)	PUNCT
ejpam-4765	141	68	.	.	PUNCT
ejpam-4765	142	1	let	let	VERB
ejpam-4765	142	2	us	we	PRON
ejpam-4765	142	3	now	now	ADV
ejpam-4765	142	4	state	state	VERB
ejpam-4765	142	5	an	an	DET
ejpam-4765	142	6	asymptotic	asymptotic	ADJ
ejpam-4765	142	7	normality	normality	NOUN
ejpam-4765	142	8	result	result	NOUN
ejpam-4765	142	9	for	for	ADP
ejpam-4765	142	10	η̂	η̂	PROPN
ejpam-4765	142	11	(	(	PUNCT
ejpam-4765	142	12	k	k	NOUN
ejpam-4765	142	13	)	)	PUNCT
ejpam-4765	142	14	n	n	CCONJ
ejpam-4765	142	15	,	,	PUNCT
ejpam-4765	142	16	k	k	PROPN
ejpam-4765	142	17	(	(	PUNCT
ejpam-4765	142	18	α	α	NOUN
ejpam-4765	142	19	,	,	PUNCT
ejpam-4765	142	20	β	β	NOUN
ejpam-4765	142	21	)	)	PUNCT
ejpam-4765	142	22	.	.	PUNCT
ejpam-4765	143	1	as	as	SCONJ
ejpam-4765	143	2	it	it	PRON
ejpam-4765	143	3	exhibit	exhibit	VERB
ejpam-4765	143	4	a	a	DET
ejpam-4765	143	5	bias	bias	NOUN
ejpam-4765	143	6	,	,	PUNCT
ejpam-4765	143	7	we	we	PRON
ejpam-4765	143	8	will	will	AUX
ejpam-4765	143	9	introduce	introduce	VERB
ejpam-4765	143	10	a	a	DET
ejpam-4765	143	11	bias	bias	NOUN
ejpam-4765	143	12	reduction	reduction	NOUN
ejpam-4765	143	13	method	method	NOUN
ejpam-4765	143	14	to	to	PART
ejpam-4765	143	15	estimate	estimate	VERB
ejpam-4765	143	16	the	the	DET
ejpam-4765	143	17	qsr	qsr	PROPN
ejpam-4765	143	18	index	index	NOUN
ejpam-4765	143	19	.	.	PUNCT
ejpam-4765	144	1	4	4	X
ejpam-4765	144	2	.	.	X
ejpam-4765	144	3	main	main	ADJ
ejpam-4765	144	4	results	result	NOUN
ejpam-4765	144	5	in	in	ADP
ejpam-4765	144	6	extreme	extreme	ADJ
ejpam-4765	144	7	value	value	NOUN
ejpam-4765	144	8	analysis	analysis	NOUN
ejpam-4765	144	9	,	,	PUNCT
ejpam-4765	144	10	one	one	PRON
ejpam-4765	144	11	can	can	AUX
ejpam-4765	144	12	easily	easily	ADV
ejpam-4765	144	13	achieve	achieve	VERB
ejpam-4765	144	14	asymptotic	asymptotic	ADJ
ejpam-4765	144	15	normality	normality	NOUN
ejpam-4765	144	16	results	result	NOUN
ejpam-4765	144	17	by	by	ADP
ejpam-4765	144	18	imposing	impose	VERB
ejpam-4765	144	19	a	a	DET
ejpam-4765	144	20	second	second	ADJ
ejpam-4765	144	21	order	order	NOUN
ejpam-4765	144	22	regularly	regularly	ADV
ejpam-4765	144	23	varying	vary	VERB
ejpam-4765	144	24	condition	condition	NOUN
ejpam-4765	144	25	(	(	PUNCT
ejpam-4765	144	26	ru	ru	NOUN
ejpam-4765	144	27	)	)	PUNCT
ejpam-4765	144	28	,	,	PUNCT
ejpam-4765	144	29	(	(	PUNCT
ejpam-4765	144	30	see	see	VERB
ejpam-4765	144	31	,	,	PUNCT
ejpam-4765	144	32	e.g.	e.g.	ADV
ejpam-4765	144	33	,	,	PUNCT
ejpam-4765	144	34	[	[	X
ejpam-4765	144	35	10	10	NUM
ejpam-4765	144	36	]	]	PUNCT
ejpam-4765	144	37	,	,	PUNCT
ejpam-4765	144	38	page	page	NOUN
ejpam-4765	144	39	48	48	NUM
ejpam-4765	144	40	)	)	PUNCT
ejpam-4765	144	41	,	,	PUNCT
ejpam-4765	144	42	which	which	PRON
ejpam-4765	144	43	is	be	AUX
ejpam-4765	144	44	necessary	necessary	ADJ
ejpam-4765	144	45	to	to	PART
ejpam-4765	144	46	quantify	quantify	VERB
ejpam-4765	144	47	the	the	DET
ejpam-4765	144	48	speed	speed	NOUN
ejpam-4765	144	49	of	of	ADP
ejpam-4765	144	50	convergence	convergence	NOUN
ejpam-4765	144	51	in	in	ADP
ejpam-4765	144	52	(	(	PUNCT
ejpam-4765	144	53	5	5	NUM
ejpam-4765	144	54	)	)	PUNCT
ejpam-4765	144	55	.	.	PUNCT
ejpam-4765	145	1	this	this	DET
ejpam-4765	145	2	condition	condition	NOUN
ejpam-4765	145	3	can	can	AUX
ejpam-4765	145	4	be	be	AUX
ejpam-4765	145	5	formulated	formulate	VERB
ejpam-4765	145	6	in	in	ADP
ejpam-4765	145	7	different	different	ADJ
ejpam-4765	145	8	ways	way	NOUN
ejpam-4765	145	9	,	,	PUNCT
ejpam-4765	145	10	below	below	ADP
ejpam-4765	145	11	we	we	PRON
ejpam-4765	145	12	state	state	VERB
ejpam-4765	145	13	it	it	PRON
ejpam-4765	145	14	in	in	ADP
ejpam-4765	145	15	terms	term	NOUN
ejpam-4765	145	16	of	of	ADP
ejpam-4765	145	17	the	the	DET
ejpam-4765	145	18	tail	tail	NOUN
ejpam-4765	145	19	quantile	quantile	NOUN
ejpam-4765	145	20	functions	function	NOUN
ejpam-4765	145	21	u(x	u(x	NOUN
ejpam-4765	145	22	)	)	PUNCT
ejpam-4765	145	23	=	=	PUNCT
ejpam-4765	145	24	q(1−1	q(1−1	NUM
ejpam-4765	145	25	/	/	SYM
ejpam-4765	145	26	x	x	NOUN
ejpam-4765	145	27	):	):	PUNCT
ejpam-4765	145	28	(	(	PUNCT
ejpam-4765	145	29	ru	ru	NOUN
ejpam-4765	145	30	):	):	PUNCT
ejpam-4765	145	31	there	there	PRON
ejpam-4765	145	32	exist	exist	VERB
ejpam-4765	145	33	a	a	DET
ejpam-4765	145	34	function	function	NOUN
ejpam-4765	145	35	a(x	a(x	NOUN
ejpam-4765	145	36	)	)	PUNCT
ejpam-4765	145	37	→	→	SYM
ejpam-4765	145	38	0	0	NUM
ejpam-4765	145	39	as	as	ADP
ejpam-4765	145	40	x	x	X
ejpam-4765	145	41	→	→	SYM
ejpam-4765	145	42	∞	∞	NUM
ejpam-4765	145	43	of	of	ADP
ejpam-4765	145	44	constant	constant	ADJ
ejpam-4765	145	45	sign	sign	NOUN
ejpam-4765	145	46	for	for	ADP
ejpam-4765	145	47	large	large	ADJ
ejpam-4765	145	48	values	value	NOUN
ejpam-4765	145	49	of	of	ADP
ejpam-4765	145	50	x	x	X
ejpam-4765	145	51	and	and	CCONJ
ejpam-4765	146	1	a	a	DET
ejpam-4765	146	2	second	second	ADJ
ejpam-4765	146	3	order	order	NOUN
ejpam-4765	146	4	parameter	parameter	NOUN
ejpam-4765	146	5	ρ	ρ	PROPN
ejpam-4765	146	6	<	<	X
ejpam-4765	146	7	0	0	NUM
ejpam-4765	146	8	such	such	ADJ
ejpam-4765	146	9	that	that	SCONJ
ejpam-4765	146	10	,	,	PUNCT
ejpam-4765	146	11	for	for	ADP
ejpam-4765	146	12	any	any	DET
ejpam-4765	146	13	x	x	SYM
ejpam-4765	146	14	>	>	X
ejpam-4765	146	15	0	0	PROPN
ejpam-4765	146	16	,	,	PUNCT
ejpam-4765	146	17	lim	lim	PROPN
ejpam-4765	146	18	t→∞	t→∞	X
ejpam-4765	146	19	logu(tx	logu(tx	PROPN
ejpam-4765	146	20	)	)	PUNCT
ejpam-4765	146	21	−	−	PROPN
ejpam-4765	146	22	logu(t	logu(t	PROPN
ejpam-4765	146	23	)	)	PUNCT
ejpam-4765	146	24	−	−	PROPN
ejpam-4765	146	25	γ	γ	X
ejpam-4765	146	26	log	log	VERB
ejpam-4765	146	27	x	x	PUNCT
ejpam-4765	146	28	a(t	a(t	NOUN
ejpam-4765	146	29	)	)	PUNCT
ejpam-4765	146	30	=	=	PUNCT
ejpam-4765	147	1	xρ	xρ	PROPN
ejpam-4765	147	2	−	−	NUM
ejpam-4765	147	3	1	1	NUM
ejpam-4765	147	4	ρ	ρ	NOUN
ejpam-4765	147	5	.	.	PUNCT
ejpam-4765	148	1	(	(	PUNCT
ejpam-4765	148	2	15	15	X
ejpam-4765	148	3	)	)	PUNCT
ejpam-4765	148	4	note	note	NOUN
ejpam-4765	148	5	that	that	SCONJ
ejpam-4765	148	6	the	the	DET
ejpam-4765	148	7	condition	condition	NOUN
ejpam-4765	148	8	(	(	PUNCT
ejpam-4765	148	9	ru	ru	NOUN
ejpam-4765	148	10	)	)	PUNCT
ejpam-4765	148	11	implies	imply	VERB
ejpam-4765	148	12	that	that	SCONJ
ejpam-4765	148	13	|a|	|a|	NOUN
ejpam-4765	148	14	is	be	AUX
ejpam-4765	148	15	regularly	regularly	ADV
ejpam-4765	148	16	varying	vary	VERB
ejpam-4765	148	17	with	with	ADP
ejpam-4765	148	18	index	index	NOUN
ejpam-4765	148	19	ρ	ρ	PROPN
ejpam-4765	148	20	(	(	PUNCT
ejpam-4765	148	21	see	see	PROPN
ejpam-4765	148	22	,	,	PUNCT
ejpam-4765	148	23	e.g.	e.g.	ADV
ejpam-4765	148	24	,	,	PUNCT
ejpam-4765	149	1	[	[	X
ejpam-4765	149	2	10];[18	10];[18	NUM
ejpam-4765	149	3	]	]	PUNCT
ejpam-4765	149	4	;	;	PUNCT
ejpam-4765	149	5	[	[	X
ejpam-4765	149	6	33	33	NUM
ejpam-4765	149	7	]	]	PUNCT
ejpam-4765	149	8	)	)	PUNCT
ejpam-4765	149	9	.	.	PUNCT
ejpam-4765	150	1	as	as	ADP
ejpam-4765	150	2	an	an	DET
ejpam-4765	150	3	example	example	NOUN
ejpam-4765	150	4	of	of	ADP
ejpam-4765	150	5	heavy	heavy	ADJ
ejpam-4765	150	6	-	-	PUNCT
ejpam-4765	150	7	tailed	tail	VERB
ejpam-4765	150	8	distributions	distribution	NOUN
ejpam-4765	150	9	satisfying	satisfy	VERB
ejpam-4765	150	10	the	the	DET
ejpam-4765	150	11	second	second	ADJ
ejpam-4765	150	12	order	order	NOUN
ejpam-4765	150	13	regularly	regularly	ADV
ejpam-4765	150	14	varying	vary	VERB
ejpam-4765	150	15	condition	condition	NOUN
ejpam-4765	150	16	(	(	PUNCT
ejpam-4765	150	17	ru	ru	PROPN
ejpam-4765	150	18	)	)	PUNCT
ejpam-4765	150	19	,	,	PUNCT
ejpam-4765	150	20	we	we	PRON
ejpam-4765	150	21	have	have	VERB
ejpam-4765	150	22	the	the	DET
ejpam-4765	150	23	so	so	ADV
ejpam-4765	150	24	called	call	VERB
ejpam-4765	150	25	and	and	CCONJ
ejpam-4765	150	26	frequently	frequently	ADV
ejpam-4765	150	27	used	use	VERB
ejpam-4765	150	28	hall	hall	PROPN
ejpam-4765	150	29	’s	’s	PART
ejpam-4765	150	30	model	model	NOUN
ejpam-4765	150	31	which	which	PRON
ejpam-4765	150	32	is	be	AUX
ejpam-4765	150	33	a	a	DET
ejpam-4765	150	34	class	class	NOUN
ejpam-4765	150	35	of	of	ADP
ejpam-4765	150	36	cdf	cdf	PROPN
ejpam-4765	150	37	’s	’s	PART
ejpam-4765	150	38	,	,	PUNCT
ejpam-4765	150	39	such	such	ADJ
ejpam-4765	150	40	that	that	SCONJ
ejpam-4765	150	41	u(t	u(t	NOUN
ejpam-4765	150	42	)	)	PUNCT
ejpam-4765	150	43	=	=	NOUN
ejpam-4765	150	44	ctγ(1	ctγ(1	NOUN
ejpam-4765	150	45	+	+	CCONJ
ejpam-4765	150	46	dρ−1a(t	dρ−1a(t	NOUN
ejpam-4765	150	47	)	)	PUNCT
ejpam-4765	151	1	+	+	X
ejpam-4765	151	2	o(tρ	o(tρ	ADJ
ejpam-4765	151	3	)	)	PUNCT
ejpam-4765	151	4	)	)	PUNCT
ejpam-4765	151	5	,	,	PUNCT
ejpam-4765	151	6	as	as	ADP
ejpam-4765	151	7	t	t	PROPN
ejpam-4765	151	8	→	→	SYM
ejpam-4765	151	9	∞	∞	PROPN
ejpam-4765	151	10	,	,	PUNCT
ejpam-4765	151	11	where	where	SCONJ
ejpam-4765	151	12	γ	γ	X
ejpam-4765	151	13	>	>	X
ejpam-4765	151	14	0	0	PROPN
ejpam-4765	151	15	,	,	PUNCT
ejpam-4765	151	16	ρ	ρ	PROPN
ejpam-4765	151	17	≤	≤	NUM
ejpam-4765	151	18	0	0	NUM
ejpam-4765	151	19	,	,	PUNCT
ejpam-4765	151	20	c	c	X
ejpam-4765	151	21	>	>	X
ejpam-4765	151	22	0	0	NUM
ejpam-4765	151	23	,	,	PUNCT
ejpam-4765	151	24	and	and	CCONJ
ejpam-4765	151	25	d	d	PROPN
ejpam-4765	151	26	∈	∈	NOUN
ejpam-4765	151	27	r∗.	r∗.	NOUN
ejpam-4765	151	28	this	this	DET
ejpam-4765	151	29	sub	sub	NOUN
ejpam-4765	151	30	-	-	NOUN
ejpam-4765	151	31	class	class	NOUN
ejpam-4765	151	32	of	of	ADP
ejpam-4765	151	33	heavy	heavy	ADJ
ejpam-4765	151	34	-	-	PUNCT
ejpam-4765	151	35	tailed	tail	VERB
ejpam-4765	151	36	models	model	NOUN
ejpam-4765	151	37	contains	contain	VERB
ejpam-4765	151	38	the	the	DET
ejpam-4765	151	39	distributions	distribution	NOUN
ejpam-4765	151	40	such	such	ADJ
ejpam-4765	151	41	as	as	ADP
ejpam-4765	151	42	pareto	pareto	ADJ
ejpam-4765	151	43	,	,	PUNCT
ejpam-4765	151	44	burr	burr	NOUN
ejpam-4765	151	45	,	,	PUNCT
ejpam-4765	151	46	fréchet	fréchet	NOUN
ejpam-4765	151	47	and	and	CCONJ
ejpam-4765	151	48	student	student	NOUN
ejpam-4765	151	49	-	-	PUNCT
ejpam-4765	151	50	t.	t.	NOUN
ejpam-4765	151	51	for	for	ADP
ejpam-4765	151	52	statistical	statistical	ADJ
ejpam-4765	151	53	inference	inference	NOUN
ejpam-4765	151	54	concerning	concern	VERB
ejpam-4765	151	55	the	the	DET
ejpam-4765	151	56	second	second	ADJ
ejpam-4765	151	57	-	-	PUNCT
ejpam-4765	151	58	order	order	NOUN
ejpam-4765	151	59	parameter	parameter	NOUN
ejpam-4765	151	60	ρ	ρ	PROPN
ejpam-4765	151	61	,	,	PUNCT
ejpam-4765	151	62	we	we	PRON
ejpam-4765	151	63	refer	refer	VERB
ejpam-4765	151	64	,	,	PUNCT
ejpam-4765	151	65	for	for	ADP
ejpam-4765	151	66	example	example	NOUN
ejpam-4765	151	67	,	,	PUNCT
ejpam-4765	151	68	to	to	ADP
ejpam-4765	151	69	[	[	X
ejpam-4765	151	70	12	12	NUM
ejpam-4765	151	71	]	]	PUNCT
ejpam-4765	151	72	and	and	CCONJ
ejpam-4765	151	73	[	[	X
ejpam-4765	151	74	38	38	NUM
ejpam-4765	151	75	]	]	PUNCT
ejpam-4765	151	76	.	.	PUNCT
ejpam-4765	152	1	section	section	NOUN
ejpam-4765	152	2	4.1	4.1	NUM
ejpam-4765	152	3	below	below	ADV
ejpam-4765	152	4	gives	give	VERB
ejpam-4765	152	5	the	the	DET
ejpam-4765	152	6	asymptotic	asymptotic	ADJ
ejpam-4765	152	7	normality	normality	NOUN
ejpam-4765	152	8	of	of	ADP
ejpam-4765	152	9	our	our	PRON
ejpam-4765	152	10	proposed	propose	VERB
ejpam-4765	152	11	estimator	estimator	NOUN
ejpam-4765	152	12	η̂	η̂	PROPN
ejpam-4765	152	13	(	(	PUNCT
ejpam-4765	152	14	k	k	NOUN
ejpam-4765	152	15	)	)	PUNCT
ejpam-4765	152	16	n	n	CCONJ
ejpam-4765	152	17	,	,	PUNCT
ejpam-4765	152	18	k	k	PROPN
ejpam-4765	152	19	(	(	PUNCT
ejpam-4765	152	20	α	α	NOUN
ejpam-4765	152	21	,	,	PUNCT
ejpam-4765	152	22	β	β	NOUN
ejpam-4765	152	23	)	)	PUNCT
ejpam-4765	152	24	.	.	PUNCT
ejpam-4765	153	1	4.1	4.1	NUM
ejpam-4765	153	2	.	.	PUNCT
ejpam-4765	154	1	asymptotic	asymptotic	ADJ
ejpam-4765	154	2	normality	normality	NOUN
ejpam-4765	154	3	of	of	ADP
ejpam-4765	154	4	the	the	DET
ejpam-4765	154	5	kernel	kernel	PROPN
ejpam-4765	154	6	estimator	estimator	NOUN
ejpam-4765	154	7	η̂	η̂	PROPN
ejpam-4765	154	8	(	(	PUNCT
ejpam-4765	154	9	k	k	NOUN
ejpam-4765	154	10	)	)	PUNCT
ejpam-4765	154	11	n	n	CCONJ
ejpam-4765	154	12	,	,	PUNCT
ejpam-4765	154	13	k	k	PROPN
ejpam-4765	154	14	(	(	PUNCT
ejpam-4765	154	15	α	α	NOUN
ejpam-4765	154	16	,	,	PUNCT
ejpam-4765	154	17	β	β	NOUN
ejpam-4765	154	18	)	)	PUNCT
ejpam-4765	154	19	.	.	PUNCT
ejpam-4765	155	1	to	to	PART
ejpam-4765	155	2	establish	establish	VERB
ejpam-4765	155	3	the	the	DET
ejpam-4765	155	4	asymptotic	asymptotic	ADJ
ejpam-4765	155	5	normality	normality	NOUN
ejpam-4765	155	6	of	of	ADP
ejpam-4765	155	7	the	the	DET
ejpam-4765	155	8	kernel	kernel	NOUN
ejpam-4765	155	9	-	-	PUNCT
ejpam-4765	155	10	type	type	NOUN
ejpam-4765	155	11	estimator	estimator	NOUN
ejpam-4765	155	12	η̂	η̂	PUNCT
ejpam-4765	155	13	(	(	PUNCT
ejpam-4765	155	14	k	k	NOUN
ejpam-4765	155	15	)	)	PUNCT
ejpam-4765	155	16	n	n	CCONJ
ejpam-4765	155	17	,	,	PUNCT
ejpam-4765	155	18	k	k	PROPN
ejpam-4765	155	19	(	(	PUNCT
ejpam-4765	155	20	α	α	NOUN
ejpam-4765	155	21	,	,	PUNCT
ejpam-4765	155	22	β	β	NOUN
ejpam-4765	155	23	)	)	PUNCT
ejpam-4765	155	24	,	,	PUNCT
ejpam-4765	155	25	some	some	DET
ejpam-4765	155	26	classical	classical	ADJ
ejpam-4765	155	27	assumptions	assumption	NOUN
ejpam-4765	155	28	about	about	ADP
ejpam-4765	155	29	the	the	DET
ejpam-4765	155	30	kernel	kernel	PROPN
ejpam-4765	155	31	k	k	PROPN
ejpam-4765	155	32	are	be	AUX
ejpam-4765	155	33	needed	need	VERB
ejpam-4765	155	34	.	.	PUNCT
ejpam-4765	156	1	m.	m.	NOUN
ejpam-4765	156	2	kebe	kebe	PROPN
ejpam-4765	156	3	et	et	PROPN
ejpam-4765	156	4	al	al	PROPN
ejpam-4765	156	5	.	.	PUNCT
ejpam-4765	156	6	/	/	SYM
ejpam-4765	156	7	eur	eur	PROPN
ejpam-4765	156	8	.	.	PUNCT
ejpam-4765	157	1	j.	j.	PROPN
ejpam-4765	157	2	pure	pure	PROPN
ejpam-4765	157	3	appl	appl	PROPN
ejpam-4765	157	4	.	.	PROPN
ejpam-4765	157	5	math	math	PROPN
ejpam-4765	157	6	,	,	PUNCT
ejpam-4765	157	7	16	16	NUM
ejpam-4765	157	8	(	(	PUNCT
ejpam-4765	157	9	4	4	NUM
ejpam-4765	157	10	)	)	PUNCT
ejpam-4765	157	11	(	(	PUNCT
ejpam-4765	157	12	2023	2023	NUM
ejpam-4765	157	13	)	)	PUNCT
ejpam-4765	157	14	,	,	PUNCT
ejpam-4765	157	15	2509	2509	NUM
ejpam-4765	157	16	-	-	SYM
ejpam-4765	157	17	2543	2543	NUM
ejpam-4765	157	18	2516	2516	NUM
ejpam-4765	157	19	condition	condition	NOUN
ejpam-4765	157	20	(	(	PUNCT
ejpam-4765	157	21	k	k	NOUN
ejpam-4765	157	22	)	)	PUNCT
ejpam-4765	157	23	.	.	PUNCT
ejpam-4765	158	1	let	let	VERB
ejpam-4765	158	2	k	k	PRON
ejpam-4765	158	3	be	be	AUX
ejpam-4765	158	4	a	a	DET
ejpam-4765	158	5	function	function	NOUN
ejpam-4765	158	6	defined	define	VERB
ejpam-4765	158	7	on	on	ADP
ejpam-4765	158	8	(	(	PUNCT
ejpam-4765	158	9	0	0	NUM
ejpam-4765	158	10	,	,	PUNCT
ejpam-4765	158	11	1	1	NUM
ejpam-4765	158	12	]	]	PUNCT
ejpam-4765	158	13	such	such	ADJ
ejpam-4765	158	14	that	that	SCONJ
ejpam-4765	158	15	(	(	PUNCT
ejpam-4765	158	16	i	i	NOUN
ejpam-4765	158	17	)	)	PUNCT
ejpam-4765	158	18	k(s	k(s	PROPN
ejpam-4765	158	19	)	)	PUNCT
ejpam-4765	158	20	≥	≥	NOUN
ejpam-4765	158	21	0	0	NUM
ejpam-4765	158	22	,	,	PUNCT
ejpam-4765	158	23	whenever	whenever	SCONJ
ejpam-4765	158	24	,	,	PUNCT
ejpam-4765	158	25	0	0	PUNCT
ejpam-4765	158	26	<	<	X
ejpam-4765	158	27	s	s	X
ejpam-4765	158	28	≤	≤	NUM
ejpam-4765	158	29	1	1	NUM
ejpam-4765	158	30	and	and	CCONJ
ejpam-4765	158	31	k(1	k(1	PROPN
ejpam-4765	158	32	)	)	PUNCT
ejpam-4765	158	33	=	=	PROPN
ejpam-4765	158	34	0	0	NUM
ejpam-4765	158	35	;	;	PUNCT
ejpam-4765	158	36	(	(	PUNCT
ejpam-4765	158	37	ii	ii	NOUN
ejpam-4765	158	38	)	)	PUNCT
ejpam-4765	158	39	k	k	PROPN
ejpam-4765	158	40	(	(	PUNCT
ejpam-4765	158	41	·	·	PUNCT
ejpam-4765	158	42	)	)	PUNCT
ejpam-4765	158	43	is	be	AUX
ejpam-4765	158	44	differentiable	differentiable	ADJ
ejpam-4765	158	45	,	,	PUNCT
ejpam-4765	158	46	non	non	X
ejpam-4765	158	47	increasing	increase	VERB
ejpam-4765	158	48	and	and	CCONJ
ejpam-4765	158	49	right	right	ADV
ejpam-4765	158	50	continuous	continuous	ADJ
ejpam-4765	158	51	on	on	ADP
ejpam-4765	158	52	(	(	PUNCT
ejpam-4765	158	53	0	0	NUM
ejpam-4765	158	54	,	,	PUNCT
ejpam-4765	158	55	1	1	NUM
ejpam-4765	158	56	]	]	PUNCT
ejpam-4765	158	57	;	;	PUNCT
ejpam-4765	158	58	(	(	PUNCT
ejpam-4765	158	59	iii	iii	X
ejpam-4765	158	60	)	)	PUNCT
ejpam-4765	158	61	k	k	PROPN
ejpam-4765	158	62	and	and	CCONJ
ejpam-4765	158	63	k	k	PROPN
ejpam-4765	158	64	′	′	PROPN
ejpam-4765	158	65	are	be	AUX
ejpam-4765	158	66	bounded	bound	VERB
ejpam-4765	158	67	;	;	PUNCT
ejpam-4765	158	68	(	(	PUNCT
ejpam-4765	158	69	iv	iv	X
ejpam-4765	158	70	)	)	PUNCT
ejpam-4765	158	71	∫	∫	PROPN
ejpam-4765	159	1	1	1	NUM
ejpam-4765	159	2	0	0	NUM
ejpam-4765	159	3	k(u)du	k(u)du	PROPN
ejpam-4765	159	4	=	=	SYM
ejpam-4765	159	5	1	1	NUM
ejpam-4765	159	6	;	;	PUNCT
ejpam-4765	159	7	(	(	PUNCT
ejpam-4765	159	8	v	v	NOUN
ejpam-4765	159	9	)	)	PUNCT
ejpam-4765	159	10	∫	∫	PROPN
ejpam-4765	160	1	1	1	NUM
ejpam-4765	160	2	0	0	NUM
ejpam-4765	160	3	u−1/2k(u)du	u−1/2k(u)du	NOUN
ejpam-4765	160	4	<	<	X
ejpam-4765	160	5	1	1	NUM
ejpam-4765	160	6	.	.	PUNCT
ejpam-4765	161	1	these	these	DET
ejpam-4765	161	2	conditions	condition	NOUN
ejpam-4765	161	3	are	be	AUX
ejpam-4765	161	4	not	not	PART
ejpam-4765	161	5	restrictive	restrictive	ADJ
ejpam-4765	161	6	but	but	CCONJ
ejpam-4765	161	7	are	be	AUX
ejpam-4765	161	8	satisfied	satisfied	ADJ
ejpam-4765	161	9	by	by	ADP
ejpam-4765	161	10	the	the	DET
ejpam-4765	161	11	usual	usual	ADJ
ejpam-4765	161	12	weight	weight	NOUN
ejpam-4765	161	13	functions	function	NOUN
ejpam-4765	161	14	used	use	VERB
ejpam-4765	161	15	in	in	ADP
ejpam-4765	161	16	the	the	DET
ejpam-4765	161	17	literature	literature	NOUN
ejpam-4765	161	18	,	,	PUNCT
ejpam-4765	161	19	including	include	VERB
ejpam-4765	161	20	the	the	DET
ejpam-4765	161	21	power	power	NOUN
ejpam-4765	161	22	kernel	kernel	PROPN
ejpam-4765	161	23	k(s	k(s	PROPN
ejpam-4765	161	24	)	)	PUNCT
ejpam-4765	162	1	=	=	PUNCT
ejpam-4765	163	1	(	(	PUNCT
ejpam-4765	163	2	1	1	NUM
ejpam-4765	163	3	+	+	CCONJ
ejpam-4765	163	4	τ)sτ	τ)sτ	PROPN
ejpam-4765	163	5	i{0	i{0	PROPN
ejpam-4765	163	6	<	<	X
ejpam-4765	163	7	s<1	s<1	NOUN
ejpam-4765	163	8	}	}	PUNCT
ejpam-4765	163	9	,	,	PUNCT
ejpam-4765	163	10	τ	τ	X
ejpam-4765	163	11	≥	≥	NOUN
ejpam-4765	163	12	0	0	NUM
ejpam-4765	163	13	,	,	PUNCT
ejpam-4765	163	14	and	and	CCONJ
ejpam-4765	163	15	the	the	DET
ejpam-4765	163	16	log	log	NOUN
ejpam-4765	163	17	-	-	PUNCT
ejpam-4765	163	18	weight	weight	NOUN
ejpam-4765	163	19	function	function	NOUN
ejpam-4765	163	20	k(s	k(s	PROPN
ejpam-4765	163	21	)	)	PUNCT
ejpam-4765	163	22	=	=	PUNCT
ejpam-4765	164	1	(	(	PUNCT
ejpam-4765	164	2	−	−	NOUN
ejpam-4765	164	3	log	log	VERB
ejpam-4765	164	4	s)τ	s)τ	NOUN
ejpam-4765	164	5	/	/	SYM
ejpam-4765	164	6	γ(τ	γ(τ	PROPN
ejpam-4765	164	7	+	+	NUM
ejpam-4765	165	1	1)i{0	1)i{0	NUM
ejpam-4765	165	2	<	<	X
ejpam-4765	165	3	s<1	s<1	NOUN
ejpam-4765	165	4	}	}	PUNCT
ejpam-4765	165	5	,	,	PUNCT
ejpam-4765	165	6	{	{	PUNCT
ejpam-4765	165	7	τ	τ	X
ejpam-4765	165	8	≥	≥	NOUN
ejpam-4765	165	9	1	1	NUM
ejpam-4765	165	10	}	}	PUNCT
ejpam-4765	165	11	.	.	PUNCT
ejpam-4765	166	1	in	in	ADP
ejpam-4765	166	2	particular	particular	ADJ
ejpam-4765	166	3	,	,	PUNCT
ejpam-4765	166	4	we	we	PRON
ejpam-4765	166	5	note	note	VERB
ejpam-4765	166	6	that	that	SCONJ
ejpam-4765	166	7	the	the	DET
ejpam-4765	166	8	classical	classical	ADJ
ejpam-4765	166	9	hill	hill	PROPN
ejpam-4765	166	10	’s	’s	PART
ejpam-4765	166	11	estimator	estimator	NOUN
ejpam-4765	166	12	in	in	ADP
ejpam-4765	166	13	(	(	PUNCT
ejpam-4765	166	14	12	12	NUM
ejpam-4765	166	15	)	)	PUNCT
ejpam-4765	166	16	can	can	AUX
ejpam-4765	166	17	be	be	AUX
ejpam-4765	166	18	viewed	view	VERB
ejpam-4765	166	19	as	as	ADP
ejpam-4765	166	20	a	a	DET
ejpam-4765	166	21	particular	particular	ADJ
ejpam-4765	166	22	case	case	NOUN
ejpam-4765	166	23	of	of	ADP
ejpam-4765	166	24	our	our	PRON
ejpam-4765	166	25	power	power	NOUN
ejpam-4765	166	26	kernel	kernel	NOUN
ejpam-4765	166	27	-	-	PUNCT
ejpam-4765	166	28	type	type	NOUN
ejpam-4765	166	29	estimator	estimator	NOUN
ejpam-4765	166	30	corresponding	corresponding	NOUN
ejpam-4765	166	31	to	to	ADP
ejpam-4765	166	32	τ	τ	PROPN
ejpam-4765	166	33	=	=	SYM
ejpam-4765	166	34	0	0	PROPN
ejpam-4765	166	35	and	and	CCONJ
ejpam-4765	166	36	k(s	k(s	PROPN
ejpam-4765	166	37	)	)	PUNCT
ejpam-4765	166	38	:	:	PUNCT
ejpam-4765	166	39	=	=	SYM
ejpam-4765	166	40	k(s	k(s	PROPN
ejpam-4765	166	41	)	)	PUNCT
ejpam-4765	166	42	=	=	PUNCT
ejpam-4765	167	1	i{0	i{0	PROPN
ejpam-4765	167	2	<	<	X
ejpam-4765	167	3	s<1	s<1	NOUN
ejpam-4765	167	4	}	}	PUNCT
ejpam-4765	167	5	.	.	PUNCT
ejpam-4765	168	1	under	under	ADP
ejpam-4765	168	2	the	the	DET
ejpam-4765	168	3	second	second	ADJ
ejpam-4765	168	4	order	order	NOUN
ejpam-4765	168	5	regularly	regularly	ADV
ejpam-4765	168	6	varying	vary	VERB
ejpam-4765	168	7	assumption	assumption	NOUN
ejpam-4765	168	8	(	(	PUNCT
ejpam-4765	168	9	ru	ru	NOUN
ejpam-4765	168	10	)	)	PUNCT
ejpam-4765	168	11	and	and	CCONJ
ejpam-4765	168	12	the	the	DET
ejpam-4765	168	13	condition	condition	NOUN
ejpam-4765	168	14	(	(	PUNCT
ejpam-4765	168	15	k	k	NOUN
ejpam-4765	168	16	)	)	PUNCT
ejpam-4765	168	17	,	,	PUNCT
ejpam-4765	168	18	[	[	X
ejpam-4765	168	19	13	13	NUM
ejpam-4765	168	20	]	]	PUNCT
ejpam-4765	168	21	showed	show	VERB
ejpam-4765	168	22	that	that	SCONJ
ejpam-4765	168	23	γ̂	γ̂	PUNCT
ejpam-4765	168	24	(	(	PUNCT
ejpam-4765	168	25	k	k	NOUN
ejpam-4765	168	26	)	)	PUNCT
ejpam-4765	168	27	n	n	CCONJ
ejpam-4765	168	28	,	,	PUNCT
ejpam-4765	168	29	k	k	PROPN
ejpam-4765	168	30	d	d	NOUN
ejpam-4765	168	31	=	=	PUNCT
ejpam-4765	168	32	γ	γ	X
ejpam-4765	168	33	+	+	NOUN
ejpam-4765	168	34	a(n	a(n	PROPN
ejpam-4765	168	35	/	/	SYM
ejpam-4765	168	36	k	k	NOUN
ejpam-4765	168	37	)	)	PUNCT
ejpam-4765	168	38	∫	∫	PROPN
ejpam-4765	168	39	1	1	NUM
ejpam-4765	168	40	0	0	NUM
ejpam-4765	168	41	s−ρk(s)ds	s−ρk(s)ds	PROPN
ejpam-4765	168	42	+	+	CCONJ
ejpam-4765	168	43	k−1/2	k−1/2	PROPN
ejpam-4765	168	44	ξn	ξn	PROPN
ejpam-4765	168	45	,	,	PUNCT
ejpam-4765	168	46	k	k	PROPN
ejpam-4765	168	47	+	+	CCONJ
ejpam-4765	168	48	op(k−1/2	op(k−1/2	NUM
ejpam-4765	168	49	)	)	PUNCT
ejpam-4765	168	50	,	,	PUNCT
ejpam-4765	168	51	(	(	PUNCT
ejpam-4765	168	52	16	16	NUM
ejpam-4765	168	53	)	)	PUNCT
ejpam-4765	168	54	where	where	SCONJ
ejpam-4765	168	55	ξn	ξn	X
ejpam-4765	168	56	,	,	PUNCT
ejpam-4765	168	57	k	k	PROPN
ejpam-4765	168	58	is	be	AUX
ejpam-4765	168	59	asymptotically	asymptotically	ADV
ejpam-4765	168	60	a	a	DET
ejpam-4765	168	61	centred	centred	ADJ
ejpam-4765	168	62	normal	normal	ADJ
ejpam-4765	168	63	distribution	distribution	NOUN
ejpam-4765	168	64	with	with	ADP
ejpam-4765	168	65	variance	variance	NOUN
ejpam-4765	168	66	γ2	γ2	PROPN
ejpam-4765	168	67	∫	∫	PROPN
ejpam-4765	168	68	1	1	NUM
ejpam-4765	168	69	0	0	NUM
ejpam-4765	168	70	k2(s)ds	k2(s)ds	NOUN
ejpam-4765	168	71	.	.	PUNCT
ejpam-4765	169	1	in	in	ADP
ejpam-4765	169	2	this	this	DET
ejpam-4765	169	3	spirit	spirit	NOUN
ejpam-4765	169	4	,	,	PUNCT
ejpam-4765	169	5	we	we	PRON
ejpam-4765	169	6	establish	establish	VERB
ejpam-4765	169	7	in	in	ADP
ejpam-4765	169	8	theorem	theorem	NOUN
ejpam-4765	169	9	1	1	NUM
ejpam-4765	169	10	below	below	ADP
ejpam-4765	169	11	the	the	DET
ejpam-4765	169	12	asymptotic	asymptotic	ADJ
ejpam-4765	169	13	normality	normality	NOUN
ejpam-4765	169	14	of	of	ADP
ejpam-4765	169	15	the	the	DET
ejpam-4765	169	16	class	class	NOUN
ejpam-4765	169	17	of	of	ADP
ejpam-4765	169	18	kernel	kernel	PROPN
ejpam-4765	169	19	type	type	NOUN
ejpam-4765	169	20	estimators	estimator	NOUN
ejpam-4765	169	21	η̂	η̂	NUM
ejpam-4765	169	22	(	(	PUNCT
ejpam-4765	169	23	k	k	NOUN
ejpam-4765	169	24	)	)	PUNCT
ejpam-4765	169	25	n	n	CCONJ
ejpam-4765	169	26	,	,	PUNCT
ejpam-4765	169	27	k	k	PROPN
ejpam-4765	169	28	(	(	PUNCT
ejpam-4765	169	29	α	α	NOUN
ejpam-4765	169	30	,	,	PUNCT
ejpam-4765	169	31	β	β	NOUN
ejpam-4765	169	32	)	)	PUNCT
ejpam-4765	169	33	for	for	ADP
ejpam-4765	169	34	the	the	DET
ejpam-4765	169	35	qsr	qsr	PROPN
ejpam-4765	169	36	index	index	NOUN
ejpam-4765	169	37	.	.	PUNCT
ejpam-4765	170	1	theorem	theorem	NOUN
ejpam-4765	170	2	1	1	NUM
ejpam-4765	170	3	.	.	PUNCT
ejpam-4765	171	1	let	let	VERB
ejpam-4765	171	2	k	k	PRON
ejpam-4765	171	3	be	be	AUX
ejpam-4765	171	4	a	a	DET
ejpam-4765	171	5	kernel	kernel	NOUN
ejpam-4765	171	6	satisfying	satisfying	ADJ
ejpam-4765	171	7	(	(	PUNCT
ejpam-4765	171	8	k	k	NOUN
ejpam-4765	171	9	)	)	PUNCT
ejpam-4765	171	10	and	and	CCONJ
ejpam-4765	171	11	assume	assume	VERB
ejpam-4765	171	12	that	that	SCONJ
ejpam-4765	171	13	the	the	DET
ejpam-4765	171	14	distribution	distribution	NOUN
ejpam-4765	171	15	f	f	NOUN
ejpam-4765	171	16	satisfies	satisfie	NOUN
ejpam-4765	171	17	(	(	PUNCT
ejpam-4765	171	18	ru	ru	PROPN
ejpam-4765	171	19	)	)	PUNCT
ejpam-4765	171	20	with	with	ADP
ejpam-4765	171	21	γ	γ	PROPN
ejpam-4765	171	22	∈	∈	PROPN
ejpam-4765	171	23	(	(	PUNCT
ejpam-4765	171	24	1/2	1/2	NUM
ejpam-4765	171	25	,	,	PUNCT
ejpam-4765	171	26	1	1	NUM
ejpam-4765	171	27	)	)	PUNCT
ejpam-4765	171	28	.	.	PUNCT
ejpam-4765	172	1	then	then	ADV
ejpam-4765	172	2	for	for	ADP
ejpam-4765	172	3	any	any	DET
ejpam-4765	172	4	sequence	sequence	NOUN
ejpam-4765	172	5	of	of	ADP
ejpam-4765	172	6	integers	integer	NOUN
ejpam-4765	172	7	k	k	X
ejpam-4765	172	8	=	=	PUNCT
ejpam-4765	172	9	k(n	k(n	X
ejpam-4765	172	10	)	)	PUNCT
ejpam-4765	172	11	satisfying	satisfy	VERB
ejpam-4765	172	12	k	k	PROPN
ejpam-4765	172	13	→	→	SYM
ejpam-4765	172	14	∞	∞	PROPN
ejpam-4765	172	15	,	,	PUNCT
ejpam-4765	172	16	k	k	X
ejpam-4765	172	17	/	/	SYM
ejpam-4765	172	18	n	n	PROPN
ejpam-4765	172	19	→	→	SYM
ejpam-4765	172	20	0	0	NUM
ejpam-4765	172	21	and	and	CCONJ
ejpam-4765	172	22	√	√	ADP
ejpam-4765	172	23	ka(n	ka(n	NOUN
ejpam-4765	172	24	/	/	SYM
ejpam-4765	172	25	k	k	NOUN
ejpam-4765	172	26	)	)	PUNCT
ejpam-4765	172	27	→	→	PUNCT
ejpam-4765	172	28	λ	λ	X
ejpam-4765	172	29	∈	∈	NOUN
ejpam-4765	172	30	r	r	NOUN
ejpam-4765	172	31	as	as	ADP
ejpam-4765	172	32	n	n	PROPN
ejpam-4765	172	33	→	→	SYM
ejpam-4765	172	34	∞	∞	PROPN
ejpam-4765	172	35	,	,	PUNCT
ejpam-4765	172	36	we	we	PRON
ejpam-4765	172	37	have	have	VERB
ejpam-4765	172	38	,	,	PUNCT
ejpam-4765	172	39	for	for	ADP
ejpam-4765	172	40	0	0	NUM
ejpam-4765	172	41	<	<	X
ejpam-4765	172	42	α	α	X
ejpam-4765	172	43	<	<	X
ejpam-4765	172	44	β	β	X
ejpam-4765	172	45	<	<	X
ejpam-4765	172	46	1	1	NUM
ejpam-4765	172	47	−	−	PROPN
ejpam-4765	172	48	k	k	NOUN
ejpam-4765	172	49	/	/	SYM
ejpam-4765	172	50	n	n	CCONJ
ejpam-4765	172	51	,	,	PUNCT
ejpam-4765	172	52	√	√	PROPN
ejpam-4765	172	53	n	n	CCONJ
ejpam-4765	172	54	(	(	PUNCT
ejpam-4765	172	55	η̂	η̂	PROPN
ejpam-4765	172	56	(	(	PUNCT
ejpam-4765	172	57	k	k	NOUN
ejpam-4765	172	58	)	)	PUNCT
ejpam-4765	172	59	n	n	CCONJ
ejpam-4765	172	60	,	,	PUNCT
ejpam-4765	172	61	k	k	PROPN
ejpam-4765	172	62	(	(	PUNCT
ejpam-4765	172	63	α	α	NOUN
ejpam-4765	172	64	,	,	PUNCT
ejpam-4765	172	65	β	β	NOUN
ejpam-4765	172	66	)	)	PUNCT
ejpam-4765	173	1	−	−	ADP
ejpam-4765	173	2	η(q	η(q	NOUN
ejpam-4765	173	3	,	,	PUNCT
ejpam-4765	173	4	α	α	NOUN
ejpam-4765	173	5	,	,	PUNCT
ejpam-4765	173	6	β	β	NOUN
ejpam-4765	173	7	)	)	PUNCT
ejpam-4765	173	8	)	)	PUNCT
ejpam-4765	173	9	(	(	PUNCT
ejpam-4765	173	10	k	k	X
ejpam-4765	173	11	/	/	SYM
ejpam-4765	173	12	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	173	13	,	,	PUNCT
ejpam-4765	173	14	n	n	X
ejpam-4765	173	15	d→	d→	X
ejpam-4765	173	16	n	n	PROPN
ejpam-4765	173	17	(	(	PUNCT
ejpam-4765	173	18	λab(η	λab(η	PROPN
ejpam-4765	173	19	)	)	PUNCT
ejpam-4765	173	20	k	k	PROPN
ejpam-4765	173	21	(	(	PUNCT
ejpam-4765	173	22	γ	γ	PROPN
ejpam-4765	173	23	,	,	PUNCT
ejpam-4765	173	24	ρ	ρ	PROPN
ejpam-4765	173	25	,	,	PUNCT
ejpam-4765	173	26	α),av(η	α),av(η	PROPN
ejpam-4765	173	27	)	)	PUNCT
ejpam-4765	173	28	k	k	PROPN
ejpam-4765	173	29	(	(	PUNCT
ejpam-4765	173	30	γ	γ	X
ejpam-4765	173	31	,	,	PUNCT
ejpam-4765	173	32	α	α	NOUN
ejpam-4765	173	33	)	)	PUNCT
ejpam-4765	173	34	)	)	PUNCT
ejpam-4765	173	35	,	,	PUNCT
ejpam-4765	173	36	where	where	SCONJ
ejpam-4765	173	37	ab(η	ab(η	NUM
ejpam-4765	173	38	)	)	PUNCT
ejpam-4765	173	39	k	k	X
ejpam-4765	173	40	(	(	PUNCT
ejpam-4765	173	41	γ	γ	X
ejpam-4765	173	42	,	,	PUNCT
ejpam-4765	173	43	ρ	ρ	PROPN
ejpam-4765	173	44	,	,	PUNCT
ejpam-4765	173	45	α	α	NOUN
ejpam-4765	173	46	)	)	PUNCT
ejpam-4765	173	47	:	:	PUNCT
ejpam-4765	173	48	=	=	SYM
ejpam-4765	173	49	1	1	NUM
ejpam-4765	173	50	(	(	PUNCT
ejpam-4765	173	51	1	1	NUM
ejpam-4765	173	52	−	−	NOUN
ejpam-4765	173	53	γ)l(q	γ)l(q	ADJ
ejpam-4765	173	54	,	,	PUNCT
ejpam-4765	173	55	α	α	NOUN
ejpam-4765	173	56	)	)	PUNCT
ejpam-4765	173	57	(	(	PUNCT
ejpam-4765	173	58	1	1	NUM
ejpam-4765	173	59	γ	γ	X
ejpam-4765	173	60	+	+	X
ejpam-4765	173	61	ρ−	ρ−	NOUN
ejpam-4765	173	62	1	1	NUM
ejpam-4765	173	63	+	+	CCONJ
ejpam-4765	173	64	1	1	NUM
ejpam-4765	173	65	1	1	NUM
ejpam-4765	173	66	−	−	NOUN
ejpam-4765	173	67	γ	γ	X
ejpam-4765	173	68	∫	∫	PROPN
ejpam-4765	173	69	1	1	NUM
ejpam-4765	173	70	0	0	NUM
ejpam-4765	173	71	s−ρk(s)ds	s−ρk(s)ds	PROPN
ejpam-4765	173	72	)	)	PUNCT
ejpam-4765	173	73	and	and	CCONJ
ejpam-4765	173	74	av(η	av(η	NUM
ejpam-4765	173	75	)	)	PUNCT
ejpam-4765	173	76	k	k	X
ejpam-4765	173	77	(	(	PUNCT
ejpam-4765	173	78	γ	γ	X
ejpam-4765	173	79	,	,	PUNCT
ejpam-4765	173	80	α	α	NOUN
ejpam-4765	173	81	)	)	PUNCT
ejpam-4765	173	82	:	:	PUNCT
ejpam-4765	174	1	=	=	SYM
ejpam-4765	174	2	γ2	γ2	ADJ
ejpam-4765	174	3	(	(	PUNCT
ejpam-4765	174	4	1	1	NUM
ejpam-4765	174	5	−	−	PROPN
ejpam-4765	174	6	γ)2	γ)2	NOUN
ejpam-4765	174	7	l2(q	l2(q	PROPN
ejpam-4765	174	8	,	,	PUNCT
ejpam-4765	174	9	α	α	NOUN
ejpam-4765	174	10	)	)	PUNCT
ejpam-4765	174	11	(	(	PUNCT
ejpam-4765	174	12	1	1	NUM
ejpam-4765	174	13	2γ	2γ	NUM
ejpam-4765	174	14	−	−	PROPN
ejpam-4765	174	15	1	1	NUM
ejpam-4765	174	16	+	+	NUM
ejpam-4765	174	17	1	1	NUM
ejpam-4765	174	18	(	(	PUNCT
ejpam-4765	174	19	1	1	NUM
ejpam-4765	174	20	−	−	NOUN
ejpam-4765	174	21	γ)2	γ)2	NOUN
ejpam-4765	174	22	∫	∫	PROPN
ejpam-4765	174	23	1	1	NUM
ejpam-4765	174	24	0	0	NUM
ejpam-4765	174	25	k2(s)ds	k2(s)ds	NOUN
ejpam-4765	174	26	)	)	PUNCT
ejpam-4765	174	27	.	.	PUNCT
ejpam-4765	175	1	proof	proof	NOUN
ejpam-4765	175	2	of	of	ADP
ejpam-4765	175	3	theorem	theorem	NOUN
ejpam-4765	175	4	1	1	X
ejpam-4765	175	5	.	.	PUNCT
ejpam-4765	176	1	let	let	VERB
ejpam-4765	176	2	y1	y1	PROPN
ejpam-4765	176	3	,	,	PUNCT
ejpam-4765	176	4	...	...	PUNCT
ejpam-4765	176	5	,	,	PUNCT
ejpam-4765	176	6	yn	yn	PRON
ejpam-4765	176	7	be	be	VERB
ejpam-4765	176	8	independent	independent	ADJ
ejpam-4765	176	9	and	and	CCONJ
ejpam-4765	176	10	identically	identically	ADV
ejpam-4765	176	11	distributed	distribute	VERB
ejpam-4765	176	12	random	random	ADJ
ejpam-4765	176	13	variables	variable	NOUN
ejpam-4765	176	14	from	from	ADP
ejpam-4765	176	15	the	the	DET
ejpam-4765	176	16	unit	unit	NOUN
ejpam-4765	176	17	pareto	pareto	ADJ
ejpam-4765	176	18	distribution	distribution	NOUN
ejpam-4765	176	19	g	g	NOUN
ejpam-4765	176	20	,	,	PUNCT
ejpam-4765	176	21	defined	define	VERB
ejpam-4765	176	22	as	as	ADP
ejpam-4765	176	23	g(y	g(y	NOUN
ejpam-4765	176	24	)	)	PUNCT
ejpam-4765	176	25	=	=	SYM
ejpam-4765	177	1	1	1	NUM
ejpam-4765	177	2	−	−	PROPN
ejpam-4765	177	3	y−1	y−1	PROPN
ejpam-4765	177	4	,	,	PUNCT
ejpam-4765	177	5	y	y	PROPN
ejpam-4765	177	6	≥	≥	NUM
ejpam-4765	177	7	1	1	NUM
ejpam-4765	177	8	.	.	PUNCT
ejpam-4765	178	1	for	for	ADP
ejpam-4765	178	2	each	each	DET
ejpam-4765	178	3	n	n	PRON
ejpam-4765	178	4	≥	≥	NOUN
ejpam-4765	178	5	1	1	NUM
ejpam-4765	178	6	,	,	PUNCT
ejpam-4765	178	7	let	let	VERB
ejpam-4765	178	8	y1,n	y1,n	PROPN
ejpam-4765	178	9	≤	≤	X
ejpam-4765	178	10	...	...	PUNCT
ejpam-4765	178	11	≤	≤	NUM
ejpam-4765	178	12	yn	yn	PROPN
ejpam-4765	178	13	,	,	PUNCT
ejpam-4765	178	14	n	n	X
ejpam-4765	178	15	be	be	VERB
ejpam-4765	178	16	the	the	DET
ejpam-4765	178	17	order	order	NOUN
ejpam-4765	178	18	statistics	statistic	NOUN
ejpam-4765	178	19	pertaining	pertain	VERB
ejpam-4765	178	20	to	to	ADP
ejpam-4765	178	21	y1	y1	PROPN
ejpam-4765	178	22	,	,	PUNCT
ejpam-4765	178	23	...	...	PUNCT
ejpam-4765	178	24	,	,	PUNCT
ejpam-4765	178	25	yn	yn	PROPN
ejpam-4765	178	26	.	.	PUNCT
ejpam-4765	179	1	clearly	clearly	ADV
ejpam-4765	179	2	xj	xj	PROPN
ejpam-4765	179	3	,	,	PUNCT
ejpam-4765	179	4	n	n	PROPN
ejpam-4765	179	5	d	d	NOUN
ejpam-4765	179	6	=	=	SYM
ejpam-4765	179	7	u(yj	u(yj	NOUN
ejpam-4765	179	8	,	,	PUNCT
ejpam-4765	179	9	n	n	CCONJ
ejpam-4765	179	10	)	)	PUNCT
ejpam-4765	179	11	,	,	PUNCT
ejpam-4765	179	12	j	j	PROPN
ejpam-4765	179	13	=	=	SYM
ejpam-4765	179	14	1	1	NUM
ejpam-4765	179	15	,	,	PUNCT
ejpam-4765	179	16	...	...	PUNCT
ejpam-4765	179	17	,	,	PUNCT
ejpam-4765	179	18	n.	n.	NOUN
ejpam-4765	179	19	in	in	ADP
ejpam-4765	179	20	order	order	NOUN
ejpam-4765	179	21	to	to	PART
ejpam-4765	179	22	use	use	VERB
ejpam-4765	179	23	the	the	DET
ejpam-4765	179	24	results	result	NOUN
ejpam-4765	179	25	from	from	ADP
ejpam-4765	179	26	[	[	X
ejpam-4765	179	27	8	8	NUM
ejpam-4765	179	28	]	]	PUNCT
ejpam-4765	179	29	,	,	PUNCT
ejpam-4765	179	30	a	a	DET
ejpam-4765	179	31	probability	probability	NOUN
ejpam-4765	179	32	space	space	NOUN
ejpam-4765	179	33	(	(	PUNCT
ejpam-4765	179	34	ω	ω	NOUN
ejpam-4765	179	35	,	,	PUNCT
ejpam-4765	179	36	a	a	DET
ejpam-4765	179	37	,	,	PUNCT
ejpam-4765	179	38	p	p	NOUN
ejpam-4765	179	39	)	)	PUNCT
ejpam-4765	179	40	is	be	AUX
ejpam-4765	179	41	constructed	construct	VERB
ejpam-4765	179	42	carrying	carry	VERB
ejpam-4765	179	43	a	a	DET
ejpam-4765	179	44	sequence	sequence	NOUN
ejpam-4765	179	45	ξ1	ξ1	NOUN
ejpam-4765	179	46	,	,	PUNCT
ejpam-4765	179	47	ξ2	ξ2	NOUN
ejpam-4765	179	48	,	,	PUNCT
ejpam-4765	179	49	...	...	PUNCT
ejpam-4765	179	50	of	of	ADP
ejpam-4765	179	51	independent	independent	ADJ
ejpam-4765	179	52	random	random	ADJ
ejpam-4765	179	53	variables	variable	NOUN
ejpam-4765	179	54	uniformly	uniformly	ADV
ejpam-4765	179	55	distributed	distribute	VERB
ejpam-4765	179	56	on	on	ADP
ejpam-4765	179	57	(	(	PUNCT
ejpam-4765	179	58	0	0	NUM
ejpam-4765	179	59	,	,	PUNCT
ejpam-4765	179	60	1	1	NUM
ejpam-4765	179	61	)	)	PUNCT
ejpam-4765	179	62	and	and	CCONJ
ejpam-4765	180	1	a	a	DET
ejpam-4765	180	2	m.	m.	NOUN
ejpam-4765	180	3	kebe	kebe	PROPN
ejpam-4765	180	4	et	et	PROPN
ejpam-4765	180	5	al	al	PROPN
ejpam-4765	180	6	.	.	PUNCT
ejpam-4765	180	7	/	/	SYM
ejpam-4765	180	8	eur	eur	PROPN
ejpam-4765	180	9	.	.	PUNCT
ejpam-4765	181	1	j.	j.	PROPN
ejpam-4765	181	2	pure	pure	PROPN
ejpam-4765	181	3	appl	appl	PROPN
ejpam-4765	181	4	.	.	PROPN
ejpam-4765	181	5	math	math	PROPN
ejpam-4765	181	6	,	,	PUNCT
ejpam-4765	181	7	16	16	NUM
ejpam-4765	181	8	(	(	PUNCT
ejpam-4765	181	9	4	4	NUM
ejpam-4765	181	10	)	)	PUNCT
ejpam-4765	181	11	(	(	PUNCT
ejpam-4765	181	12	2023	2023	NUM
ejpam-4765	181	13	)	)	PUNCT
ejpam-4765	181	14	,	,	PUNCT
ejpam-4765	181	15	2509	2509	NUM
ejpam-4765	181	16	-	-	SYM
ejpam-4765	181	17	2543	2543	NUM
ejpam-4765	181	18	2517	2517	NUM
ejpam-4765	181	19	sequence	sequence	NOUN
ejpam-4765	181	20	of	of	ADP
ejpam-4765	181	21	brownian	brownian	ADJ
ejpam-4765	181	22	bridges	bridge	NOUN
ejpam-4765	181	23	bn(s	bn(	NOUN
ejpam-4765	181	24	)	)	PUNCT
ejpam-4765	181	25	,	,	PUNCT
ejpam-4765	181	26	0	0	NUM
ejpam-4765	181	27	≤	≤	NUM
ejpam-4765	181	28	s	s	PART
ejpam-4765	181	29	≤	≤	NUM
ejpam-4765	181	30	1	1	NUM
ejpam-4765	181	31	,	,	PUNCT
ejpam-4765	181	32	n	n	NOUN
ejpam-4765	181	33	=	=	SYM
ejpam-4765	181	34	1	1	NUM
ejpam-4765	181	35	,	,	PUNCT
ejpam-4765	181	36	2	2	NUM
ejpam-4765	181	37	...	...	PUNCT
ejpam-4765	181	38	such	such	ADJ
ejpam-4765	181	39	that	that	PRON
ejpam-4765	181	40	for	for	ADP
ejpam-4765	181	41	all	all	DET
ejpam-4765	181	42	0	0	NUM
ejpam-4765	181	43	≤	≤	NUM
ejpam-4765	182	1	ν	ν	ADP
ejpam-4765	182	2	<	<	X
ejpam-4765	182	3	1/2	1/2	NUM
ejpam-4765	182	4	and	and	CCONJ
ejpam-4765	182	5	λ1	λ1	ADJ
ejpam-4765	182	6	>	>	X
ejpam-4765	182	7	0	0	NUM
ejpam-4765	182	8	sup	sup	NOUN
ejpam-4765	182	9	λ1	λ1	PROPN
ejpam-4765	182	10	/	/	SYM
ejpam-4765	182	11	n≤	n≤	PROPN
ejpam-4765	182	12	s≤1−λ1	s≤1−λ1	NOUN
ejpam-4765	182	13	/	/	SYM
ejpam-4765	182	14	n	n	NOUN
ejpam-4765	182	15	|βn(s	|βn(s	NOUN
ejpam-4765	182	16	)	)	PUNCT
ejpam-4765	182	17	−	−	NOUN
ejpam-4765	183	1	bn(s)|	bn(s)|	X
ejpam-4765	183	2	(	(	PUNCT
ejpam-4765	183	3	s(1	s(1	PROPN
ejpam-4765	183	4	−	−	PROPN
ejpam-4765	183	5	s))1/2−ν	s))1/2−ν	PROPN
ejpam-4765	183	6	=	=	SYM
ejpam-4765	183	7	op(n−ν	op(n−ν	PROPN
ejpam-4765	183	8	)	)	PUNCT
ejpam-4765	183	9	,	,	PUNCT
ejpam-4765	183	10	(	(	PUNCT
ejpam-4765	183	11	17	17	NUM
ejpam-4765	183	12	)	)	PUNCT
ejpam-4765	183	13	where	where	SCONJ
ejpam-4765	183	14	βn	βn	NOUN
ejpam-4765	183	15	is	be	AUX
ejpam-4765	183	16	the	the	DET
ejpam-4765	183	17	resulting	result	VERB
ejpam-4765	183	18	empirical	empirical	ADJ
ejpam-4765	183	19	quantile	quantile	ADJ
ejpam-4765	183	20	function	function	NOUN
ejpam-4765	183	21	denoted	denote	VERB
ejpam-4765	183	22	by	by	ADP
ejpam-4765	183	23	:	:	PUNCT
ejpam-4765	183	24	βn(t	βn(t	PUNCT
ejpam-4765	183	25	)	)	PUNCT
ejpam-4765	183	26	=	=	SYM
ejpam-4765	184	1	√	√	NUM
ejpam-4765	184	2	n	n	CCONJ
ejpam-4765	184	3	(	(	PUNCT
ejpam-4765	184	4	t−	t−	NOUN
ejpam-4765	184	5	vn(t	vn(t	NUM
ejpam-4765	184	6	)	)	PUNCT
ejpam-4765	184	7	)	)	PUNCT
ejpam-4765	184	8	with	with	ADP
ejpam-4765	184	9	vn(s	vn(s	NOUN
ejpam-4765	184	10	)	)	PUNCT
ejpam-4765	184	11	=	=	SYM
ejpam-4765	184	12	ξj	ξj	NOUN
ejpam-4765	184	13	,	,	PUNCT
ejpam-4765	184	14	n	n	CCONJ
ejpam-4765	184	15	,	,	PUNCT
ejpam-4765	184	16	j−1	j−1	PROPN
ejpam-4765	184	17	n	n	CCONJ
ejpam-4765	184	18	<	<	X
ejpam-4765	184	19	s	s	PART
ejpam-4765	184	20	≤	≤	NUM
ejpam-4765	184	21	j	j	PROPN
ejpam-4765	184	22	n	n	NOUN
ejpam-4765	184	23	,	,	PUNCT
ejpam-4765	184	24	j	j	PROPN
ejpam-4765	184	25	=	=	SYM
ejpam-4765	184	26	1	1	NUM
ejpam-4765	184	27	,	,	PUNCT
ejpam-4765	184	28	...	...	PUNCT
ejpam-4765	184	29	,	,	PUNCT
ejpam-4765	184	30	n	n	PROPN
ejpam-4765	184	31	and	and	CCONJ
ejpam-4765	184	32	vn(0	vn(0	NOUN
ejpam-4765	184	33	)	)	PUNCT
ejpam-4765	184	34	=	=	NOUN
ejpam-4765	184	35	0	0	X
ejpam-4765	184	36	.	.	PUNCT
ejpam-4765	185	1	before	before	SCONJ
ejpam-4765	185	2	we	we	PRON
ejpam-4765	185	3	establish	establish	VERB
ejpam-4765	185	4	the	the	DET
ejpam-4765	185	5	asymptotic	asymptotic	ADJ
ejpam-4765	185	6	results	result	NOUN
ejpam-4765	185	7	in	in	ADP
ejpam-4765	185	8	theorem	theorem	ADJ
ejpam-4765	185	9	‘	'	PUNCT
ejpam-4765	185	10	1	1	NUM
ejpam-4765	185	11	,	,	PUNCT
ejpam-4765	185	12	let	let	VERB
ejpam-4765	185	13	’s	’s	PRON
ejpam-4765	185	14	introduce	introduce	VERB
ejpam-4765	185	15	the	the	DET
ejpam-4765	185	16	following	following	ADJ
ejpam-4765	185	17	notations	notation	NOUN
ejpam-4765	185	18	.	.	PUNCT
ejpam-4765	186	1	next	next	ADV
ejpam-4765	186	2	,	,	PUNCT
ejpam-4765	186	3	from	from	ADP
ejpam-4765	186	4	(	(	PUNCT
ejpam-4765	186	5	8)	8)	NUM
ejpam-4765	186	6	,	,	PUNCT
ejpam-4765	186	7	(	(	PUNCT
ejpam-4765	186	8	13	13	NUM
ejpam-4765	186	9	)	)	PUNCT
ejpam-4765	186	10	,	,	PUNCT
ejpam-4765	186	11	(	(	PUNCT
ejpam-4765	186	12	14	14	NUM
ejpam-4765	186	13	)	)	PUNCT
ejpam-4765	186	14	and	and	CCONJ
ejpam-4765	186	15	(	(	PUNCT
ejpam-4765	186	16	42	42	NUM
ejpam-4765	186	17	)	)	PUNCT
ejpam-4765	186	18	,	,	PUNCT
ejpam-4765	186	19	the	the	DET
ejpam-4765	186	20	qsr	qsr	PROPN
ejpam-4765	186	21	index	index	NOUN
ejpam-4765	186	22	η(q	η(q	NOUN
ejpam-4765	186	23	,	,	PUNCT
ejpam-4765	186	24	α	α	NOUN
ejpam-4765	186	25	,	,	PUNCT
ejpam-4765	186	26	β	β	NOUN
ejpam-4765	186	27	)	)	PUNCT
ejpam-4765	186	28	and	and	CCONJ
ejpam-4765	186	29	its	its	PRON
ejpam-4765	186	30	biased	biased	ADJ
ejpam-4765	186	31	estimator	estimator	NOUN
ejpam-4765	186	32	η̂	η̂	PUNCT
ejpam-4765	186	33	(	(	PUNCT
ejpam-4765	186	34	k	k	NOUN
ejpam-4765	186	35	)	)	PUNCT
ejpam-4765	186	36	n	n	CCONJ
ejpam-4765	186	37	,	,	PUNCT
ejpam-4765	186	38	k	k	PROPN
ejpam-4765	186	39	(	(	PUNCT
ejpam-4765	186	40	α	α	NOUN
ejpam-4765	186	41	,	,	PUNCT
ejpam-4765	186	42	β	β	NOUN
ejpam-4765	186	43	)	)	PUNCT
ejpam-4765	186	44	,	,	PUNCT
ejpam-4765	186	45	0	0	NUM
ejpam-4765	186	46	<	<	X
ejpam-4765	186	47	α	α	X
ejpam-4765	186	48	<	<	X
ejpam-4765	186	49	β	β	X
ejpam-4765	186	50	<	<	X
ejpam-4765	186	51	1	1	NUM
ejpam-4765	186	52	−	−	PROPN
ejpam-4765	186	53	k	k	NOUN
ejpam-4765	186	54	/	/	SYM
ejpam-4765	186	55	n	n	CCONJ
ejpam-4765	186	56	,	,	PUNCT
ejpam-4765	186	57	can	can	AUX
ejpam-4765	186	58	be	be	AUX
ejpam-4765	186	59	respectively	respectively	ADV
ejpam-4765	186	60	rewritten	rewrite	VERB
ejpam-4765	186	61	as	as	ADP
ejpam-4765	186	62	:	:	PUNCT
ejpam-4765	186	63	η(q	η(q	NOUN
ejpam-4765	186	64	,	,	PUNCT
ejpam-4765	186	65	α	α	NOUN
ejpam-4765	186	66	,	,	PUNCT
ejpam-4765	186	67	β	β	NOUN
ejpam-4765	186	68	)	)	PUNCT
ejpam-4765	186	69	:	:	PUNCT
ejpam-4765	186	70	=	=	SYM
ejpam-4765	186	71	un	un	PROPN
ejpam-4765	186	72	,	,	PUNCT
ejpam-4765	186	73	k,1(q	k,1(q	NOUN
ejpam-4765	186	74	,	,	PUNCT
ejpam-4765	186	75	β	β	NOUN
ejpam-4765	186	76	)	)	PUNCT
ejpam-4765	186	77	l(q	l(q	PROPN
ejpam-4765	186	78	,	,	PUNCT
ejpam-4765	186	79	α	α	X
ejpam-4765	186	80	)	)	PUNCT
ejpam-4765	186	81	+	+	CCONJ
ejpam-4765	186	82	un	un	ADJ
ejpam-4765	186	83	,	,	PUNCT
ejpam-4765	186	84	k,2(q	k,2(q	PROPN
ejpam-4765	186	85	)	)	PUNCT
ejpam-4765	186	86	l(q	l(q	PROPN
ejpam-4765	186	87	,	,	PUNCT
ejpam-4765	186	88	α	α	NOUN
ejpam-4765	186	89	)	)	PUNCT
ejpam-4765	186	90	,	,	PUNCT
ejpam-4765	186	91	and	and	CCONJ
ejpam-4765	186	92	η̂	η̂	PROPN
ejpam-4765	186	93	(	(	PUNCT
ejpam-4765	186	94	k	k	NOUN
ejpam-4765	186	95	)	)	PUNCT
ejpam-4765	186	96	n	n	CCONJ
ejpam-4765	186	97	,	,	PUNCT
ejpam-4765	186	98	k	k	PROPN
ejpam-4765	186	99	(	(	PUNCT
ejpam-4765	186	100	α	α	NOUN
ejpam-4765	186	101	,	,	PUNCT
ejpam-4765	186	102	β	β	NOUN
ejpam-4765	186	103	)	)	PUNCT
ejpam-4765	186	104	:	:	PUNCT
ejpam-4765	186	105	=	=	SYM
ejpam-4765	186	106	un	un	PROPN
ejpam-4765	186	107	,	,	PUNCT
ejpam-4765	186	108	k,1(qn	k,1(qn	PROPN
ejpam-4765	186	109	,	,	PUNCT
ejpam-4765	186	110	β	β	NOUN
ejpam-4765	186	111	)	)	PUNCT
ejpam-4765	186	112	ln(α	ln(α	PROPN
ejpam-4765	186	113	)	)	PUNCT
ejpam-4765	187	1	+	+	CCONJ
ejpam-4765	187	2	un	un	PROPN
ejpam-4765	187	3	,	,	PUNCT
ejpam-4765	187	4	k,2	k,2	X
ejpam-4765	187	5	(	(	PUNCT
ejpam-4765	187	6	q	q	PROPN
ejpam-4765	187	7	(	(	PUNCT
ejpam-4765	187	8	k	k	NOUN
ejpam-4765	187	9	)	)	PUNCT
ejpam-4765	187	10	n	n	CCONJ
ejpam-4765	187	11	,	,	PUNCT
ejpam-4765	187	12	k	k	PROPN
ejpam-4765	187	13	)	)	PUNCT
ejpam-4765	187	14	ln(α	ln(α	PROPN
ejpam-4765	187	15	)	)	PUNCT
ejpam-4765	187	16	,	,	PUNCT
ejpam-4765	187	17	where	where	SCONJ
ejpam-4765	187	18	ln(α	ln(α	ADV
ejpam-4765	187	19	)	)	PUNCT
ejpam-4765	187	20	:	:	PUNCT
ejpam-4765	188	1	=	=	SYM
ejpam-4765	188	2	∫	∫	PROPN
ejpam-4765	188	3	α	α	NOUN
ejpam-4765	188	4	0	0	X
ejpam-4765	188	5	qn(s)ds	qn(s)ds	PROPN
ejpam-4765	188	6	=	=	SYM
ejpam-4765	188	7	n−1	n−1	PROPN
ejpam-4765	188	8	∑[nα	∑[nα	PROPN
ejpam-4765	188	9	]	]	X
ejpam-4765	188	10	j=1	j=1	PROPN
ejpam-4765	188	11	xj	xj	PROPN
ejpam-4765	188	12	,	,	PUNCT
ejpam-4765	188	13	n	n	PRON
ejpam-4765	188	14	is	be	AUX
ejpam-4765	188	15	the	the	DET
ejpam-4765	188	16	empirical	empirical	ADJ
ejpam-4765	188	17	estimator	estimator	NOUN
ejpam-4765	188	18	of	of	ADP
ejpam-4765	188	19	the	the	DET
ejpam-4765	188	20	lower	low	ADJ
ejpam-4765	188	21	integral	integral	ADJ
ejpam-4765	188	22	l(q	l(q	PROPN
ejpam-4765	188	23	,	,	PUNCT
ejpam-4765	188	24	α	α	X
ejpam-4765	188	25	)	)	PUNCT
ejpam-4765	188	26	=	=	SYM
ejpam-4765	189	1	∫	∫	PROPN
ejpam-4765	189	2	α	α	PROPN
ejpam-4765	189	3	0	0	PROPN
ejpam-4765	189	4	q(s)ds	q(s)ds	PROPN
ejpam-4765	189	5	and	and	CCONJ
ejpam-4765	189	6	the	the	DET
ejpam-4765	189	7	u	u	NOUN
ejpam-4765	189	8	-functional	-functional	ADJ
ejpam-4765	189	9	integrals	integral	NOUN
ejpam-4765	189	10	are	be	AUX
ejpam-4765	189	11	defined	define	VERB
ejpam-4765	189	12	as	as	ADP
ejpam-4765	189	13	:	:	PUNCT
ejpam-4765	189	14	un	un	PROPN
ejpam-4765	189	15	,	,	PUNCT
ejpam-4765	189	16	k,1(q	k,1(q	PROPN
ejpam-4765	189	17	,	,	PUNCT
ejpam-4765	189	18	t	t	PROPN
ejpam-4765	189	19	)	)	PUNCT
ejpam-4765	189	20	:	:	PUNCT
ejpam-4765	190	1	=	=	PUNCT
ejpam-4765	190	2	∫	∫	PROPN
ejpam-4765	190	3	1−k	1−k	NUM
ejpam-4765	190	4	/	/	SYM
ejpam-4765	190	5	n	n	PROPN
ejpam-4765	190	6	t	t	PROPN
ejpam-4765	190	7	q(s)ds	q(s)ds	PROPN
ejpam-4765	190	8	,	,	PUNCT
ejpam-4765	190	9	for	for	ADP
ejpam-4765	190	10	0	0	NUM
ejpam-4765	190	11	≤	≤	NOUN
ejpam-4765	190	12	t	t	NOUN
ejpam-4765	190	13	<	<	X
ejpam-4765	190	14	1	1	NUM
ejpam-4765	190	15	−	−	PROPN
ejpam-4765	190	16	k	k	PROPN
ejpam-4765	190	17	/	/	SYM
ejpam-4765	190	18	n	n	PRON
ejpam-4765	190	19	un	un	PROPN
ejpam-4765	190	20	,	,	PUNCT
ejpam-4765	190	21	k,2(q	k,2(q	PROPN
ejpam-4765	190	22	)	)	PUNCT
ejpam-4765	190	23	:	:	PUNCT
ejpam-4765	191	1	=	=	SYM
ejpam-4765	191	2	∫	∫	PROPN
ejpam-4765	191	3	1	1	NUM
ejpam-4765	191	4	1−k	1−k	NUM
ejpam-4765	191	5	/	/	SYM
ejpam-4765	191	6	n	n	PRON
ejpam-4765	191	7	q(s)ds	q(s)ds	PROPN
ejpam-4765	191	8	,	,	PUNCT
ejpam-4765	191	9	un	un	PROPN
ejpam-4765	191	10	,	,	PUNCT
ejpam-4765	191	11	k,1(qn	k,1(qn	PROPN
ejpam-4765	191	12	,	,	PUNCT
ejpam-4765	191	13	t	t	PROPN
ejpam-4765	191	14	)	)	PUNCT
ejpam-4765	191	15	:	:	PUNCT
ejpam-4765	192	1	=	=	PUNCT
ejpam-4765	192	2	∫	∫	PROPN
ejpam-4765	192	3	1−k	1−k	NUM
ejpam-4765	192	4	/	/	SYM
ejpam-4765	192	5	n	n	PROPN
ejpam-4765	192	6	t	t	NOUN
ejpam-4765	192	7	qn(s)ds	qn(s)d	NOUN
ejpam-4765	192	8	,	,	PUNCT
ejpam-4765	192	9	for	for	ADP
ejpam-4765	192	10	0	0	NUM
ejpam-4765	192	11	≤	≤	NOUN
ejpam-4765	192	12	t	t	NOUN
ejpam-4765	192	13	<	<	X
ejpam-4765	192	14	1	1	NUM
ejpam-4765	192	15	−	−	PROPN
ejpam-4765	192	16	k	k	NOUN
ejpam-4765	192	17	/	/	SYM
ejpam-4765	192	18	n	n	CCONJ
ejpam-4765	192	19	,	,	PUNCT
ejpam-4765	192	20	un	un	PROPN
ejpam-4765	192	21	,	,	PUNCT
ejpam-4765	192	22	k,2	k,2	X
ejpam-4765	192	23	(	(	PUNCT
ejpam-4765	192	24	q	q	PROPN
ejpam-4765	192	25	(	(	PUNCT
ejpam-4765	192	26	k	k	NOUN
ejpam-4765	192	27	)	)	PUNCT
ejpam-4765	192	28	n	n	CCONJ
ejpam-4765	192	29	,	,	PUNCT
ejpam-4765	192	30	k	k	PROPN
ejpam-4765	192	31	)	)	PUNCT
ejpam-4765	192	32	:	:	PUNCT
ejpam-4765	193	1	=	=	SYM
ejpam-4765	193	2	∫	∫	PROPN
ejpam-4765	193	3	1	1	NUM
ejpam-4765	193	4	1−k	1−k	NUM
ejpam-4765	193	5	/	/	SYM
ejpam-4765	193	6	n	n	NOUN
ejpam-4765	193	7	q	q	NOUN
ejpam-4765	193	8	(	(	PUNCT
ejpam-4765	193	9	k	k	NOUN
ejpam-4765	193	10	)	)	PUNCT
ejpam-4765	193	11	n	n	CCONJ
ejpam-4765	193	12	,	,	PUNCT
ejpam-4765	193	13	k	k	PROPN
ejpam-4765	193	14	(	(	PUNCT
ejpam-4765	193	15	s)ds	s)ds	PROPN
ejpam-4765	193	16	=	=	SYM
ejpam-4765	193	17	(	(	PUNCT
ejpam-4765	193	18	k	k	NOUN
ejpam-4765	193	19	/	/	SYM
ejpam-4765	193	20	n)xn−k	n)xn−k	PROPN
ejpam-4765	193	21	,	,	PUNCT
ejpam-4765	193	22	n	n	PROPN
ejpam-4765	193	23	1	1	NUM
ejpam-4765	193	24	−	−	NOUN
ejpam-4765	193	25	γ̂	γ̂	PUNCT
ejpam-4765	193	26	(	(	PUNCT
ejpam-4765	193	27	k	k	NOUN
ejpam-4765	193	28	)	)	PUNCT
ejpam-4765	193	29	n	n	CCONJ
ejpam-4765	193	30	,	,	PUNCT
ejpam-4765	193	31	k	k	PROPN
ejpam-4765	193	32	.	.	PUNCT
ejpam-4765	194	1	with	with	ADP
ejpam-4765	194	2	qn	qn	INTJ
ejpam-4765	194	3	(	(	PUNCT
ejpam-4765	194	4	·	·	PUNCT
ejpam-4765	194	5	)	)	PUNCT
ejpam-4765	194	6	(	(	PUNCT
ejpam-4765	194	7	respectively	respectively	ADV
ejpam-4765	194	8	,	,	PUNCT
ejpam-4765	194	9	q	q	X
ejpam-4765	194	10	(	(	PUNCT
ejpam-4765	194	11	k	k	NOUN
ejpam-4765	194	12	)	)	PUNCT
ejpam-4765	194	13	n	n	CCONJ
ejpam-4765	194	14	,	,	PUNCT
ejpam-4765	194	15	k	k	PROPN
ejpam-4765	194	16	is	be	AUX
ejpam-4765	194	17	the	the	DET
ejpam-4765	194	18	empirical	empirical	ADJ
ejpam-4765	194	19	estimator	estimator	NOUN
ejpam-4765	194	20	(	(	PUNCT
ejpam-4765	194	21	respectively	respectively	ADV
ejpam-4765	194	22	,	,	PUNCT
ejpam-4765	194	23	the	the	DET
ejpam-4765	194	24	weissman	weissman	PROPN
ejpam-4765	194	25	’s	’s	PART
ejpam-4765	194	26	type	type	NOUN
ejpam-4765	194	27	estimator	estimator	NOUN
ejpam-4765	194	28	)	)	PUNCT
ejpam-4765	194	29	of	of	ADP
ejpam-4765	194	30	the	the	DET
ejpam-4765	194	31	quantile	quantile	ADJ
ejpam-4765	194	32	function	function	NOUN
ejpam-4765	194	33	q	q	PROPN
ejpam-4765	194	34	(	(	PUNCT
ejpam-4765	194	35	·	·	PUNCT
ejpam-4765	194	36	)	)	PUNCT
ejpam-4765	194	37	and	and	CCONJ
ejpam-4765	194	38	k	k	X
ejpam-4765	194	39	=	=	SYM
ejpam-4765	194	40	k(n	k(n	X
ejpam-4765	194	41	)	)	PUNCT
ejpam-4765	194	42	is	be	AUX
ejpam-4765	194	43	a	a	DET
ejpam-4765	194	44	sequence	sequence	NOUN
ejpam-4765	194	45	of	of	ADP
ejpam-4765	194	46	integers	integer	NOUN
ejpam-4765	194	47	satisfying	satisfy	VERB
ejpam-4765	194	48	k	k	PROPN
ejpam-4765	194	49	→	→	SYM
ejpam-4765	194	50	∞	∞	PROPN
ejpam-4765	194	51	,	,	PUNCT
ejpam-4765	194	52	k	k	X
ejpam-4765	194	53	/	/	SYM
ejpam-4765	194	54	n	n	PROPN
ejpam-4765	194	55	→	→	SYM
ejpam-4765	194	56	0	0	NUM
ejpam-4765	194	57	and	and	CCONJ
ejpam-4765	194	58	as	as	SCONJ
ejpam-4765	194	59	n	n	NOUN
ejpam-4765	194	60	→	→	PUNCT
ejpam-4765	194	61	∞.	∞.	PROPN
ejpam-4765	194	62	to	to	PART
ejpam-4765	194	63	simplify	simplify	VERB
ejpam-4765	194	64	the	the	DET
ejpam-4765	194	65	proof	proof	NOUN
ejpam-4765	194	66	,	,	PUNCT
ejpam-4765	194	67	we	we	PRON
ejpam-4765	194	68	need	need	VERB
ejpam-4765	194	69	the	the	DET
ejpam-4765	194	70	following	follow	VERB
ejpam-4765	194	71	preliminary	preliminary	ADJ
ejpam-4765	194	72	results	result	NOUN
ejpam-4765	194	73	whose	whose	DET
ejpam-4765	194	74	proofs	proof	NOUN
ejpam-4765	194	75	are	be	AUX
ejpam-4765	194	76	given	give	VERB
ejpam-4765	194	77	after	after	ADP
ejpam-4765	194	78	this	this	DET
ejpam-4765	194	79	one	one	NUM
ejpam-4765	194	80	.	.	PUNCT
ejpam-4765	195	1	lemma	lemma	PROPN
ejpam-4765	195	2	1	1	X
ejpam-4765	195	3	.	.	PUNCT
ejpam-4765	195	4	assume	assume	VERB
ejpam-4765	195	5	that	that	SCONJ
ejpam-4765	195	6	the	the	DET
ejpam-4765	195	7	distribution	distribution	NOUN
ejpam-4765	195	8	f	f	PROPN
ejpam-4765	195	9	satisfies	satisfy	VERB
ejpam-4765	195	10	the	the	DET
ejpam-4765	195	11	regularly	regularly	ADV
ejpam-4765	195	12	varying	vary	VERB
ejpam-4765	195	13	condition	condition	NOUN
ejpam-4765	195	14	(	(	PUNCT
ejpam-4765	195	15	5	5	NUM
ejpam-4765	195	16	)	)	PUNCT
ejpam-4765	195	17	with	with	ADP
ejpam-4765	195	18	γ	γ	PROPN
ejpam-4765	195	19	∈	∈	PROPN
ejpam-4765	195	20	(	(	PUNCT
ejpam-4765	195	21	1/2	1/2	NUM
ejpam-4765	195	22	,	,	PUNCT
ejpam-4765	195	23	1	1	NUM
ejpam-4765	195	24	)	)	PUNCT
ejpam-4765	195	25	.	.	PUNCT
ejpam-4765	196	1	if	if	SCONJ
ejpam-4765	196	2	k	k	PROPN
ejpam-4765	196	3	=	=	SYM
ejpam-4765	196	4	k(n	k(n	X
ejpam-4765	196	5	)	)	PUNCT
ejpam-4765	196	6	is	be	AUX
ejpam-4765	196	7	a	a	DET
ejpam-4765	196	8	sequence	sequence	NOUN
ejpam-4765	196	9	of	of	ADP
ejpam-4765	196	10	integers	integer	NOUN
ejpam-4765	196	11	satisfying	satisfy	VERB
ejpam-4765	196	12	k	k	PROPN
ejpam-4765	196	13	→	→	SYM
ejpam-4765	196	14	∞	∞	PROPN
ejpam-4765	196	15	,	,	PUNCT
ejpam-4765	196	16	k	k	X
ejpam-4765	196	17	/	/	SYM
ejpam-4765	196	18	n	n	PROPN
ejpam-4765	196	19	→	→	SYM
ejpam-4765	196	20	0	0	NUM
ejpam-4765	196	21	,	,	PUNCT
ejpam-4765	196	22	as	as	ADP
ejpam-4765	196	23	m.	m.	NOUN
ejpam-4765	196	24	kebe	kebe	PROPN
ejpam-4765	196	25	et	et	PROPN
ejpam-4765	196	26	al	al	PROPN
ejpam-4765	196	27	.	.	PUNCT
ejpam-4765	196	28	/	/	SYM
ejpam-4765	196	29	eur	eur	PROPN
ejpam-4765	196	30	.	.	PUNCT
ejpam-4765	197	1	j.	j.	PROPN
ejpam-4765	197	2	pure	pure	PROPN
ejpam-4765	197	3	appl	appl	PROPN
ejpam-4765	197	4	.	.	PROPN
ejpam-4765	197	5	math	math	PROPN
ejpam-4765	197	6	,	,	PUNCT
ejpam-4765	197	7	16	16	NUM
ejpam-4765	197	8	(	(	PUNCT
ejpam-4765	197	9	4	4	NUM
ejpam-4765	197	10	)	)	PUNCT
ejpam-4765	197	11	(	(	PUNCT
ejpam-4765	197	12	2023	2023	NUM
ejpam-4765	197	13	)	)	PUNCT
ejpam-4765	197	14	,	,	PUNCT
ejpam-4765	197	15	2509	2509	NUM
ejpam-4765	197	16	-	-	SYM
ejpam-4765	197	17	2543	2543	NUM
ejpam-4765	197	18	2518	2518	NUM
ejpam-4765	197	19	n	n	NOUN
ejpam-4765	197	20	→	→	SYM
ejpam-4765	197	21	∞	∞	PROPN
ejpam-4765	197	22	,	,	PUNCT
ejpam-4765	197	23	then	then	ADV
ejpam-4765	197	24	for	for	ADP
ejpam-4765	197	25	0	0	NUM
ejpam-4765	197	26	<	<	X
ejpam-4765	197	27	α	α	X
ejpam-4765	197	28	<	<	X
ejpam-4765	197	29	1	1	NUM
ejpam-4765	197	30	−	−	PROPN
ejpam-4765	197	31	k	k	NOUN
ejpam-4765	197	32	/	/	SYM
ejpam-4765	197	33	n	n	CCONJ
ejpam-4765	197	34	,	,	PUNCT
ejpam-4765	197	35	we	we	PRON
ejpam-4765	197	36	have	have	VERB
ejpam-4765	197	37	:	:	PUNCT
ejpam-4765	197	38	√	√	PROPN
ejpam-4765	197	39	n	n	PRON
ejpam-4765	197	40	(	(	PUNCT
ejpam-4765	197	41	ln(α	ln(α	PROPN
ejpam-4765	197	42	)	)	PUNCT
ejpam-4765	197	43	−	−	PROPN
ejpam-4765	198	1	l(q	l(q	PROPN
ejpam-4765	198	2	,	,	PUNCT
ejpam-4765	198	3	α	α	NOUN
ejpam-4765	198	4	)	)	PUNCT
ejpam-4765	198	5	)	)	PUNCT
ejpam-4765	199	1	(	(	PUNCT
ejpam-4765	199	2	k	k	X
ejpam-4765	199	3	/	/	SYM
ejpam-4765	199	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	199	5	,	,	PUNCT
ejpam-4765	199	6	n	n	NOUN
ejpam-4765	199	7	=	=	PUNCT
ejpam-4765	199	8	op(1	op(1	NUM
ejpam-4765	199	9	)	)	PUNCT
ejpam-4765	199	10	,	,	PUNCT
ejpam-4765	199	11	as	as	ADP
ejpam-4765	199	12	n	n	PROPN
ejpam-4765	199	13	→	→	SYM
ejpam-4765	199	14	∞.	∞.	PROPN
ejpam-4765	199	15	(	(	PUNCT
ejpam-4765	199	16	18	18	NUM
ejpam-4765	199	17	)	)	PUNCT
ejpam-4765	199	18	lemma	lemma	PROPN
ejpam-4765	199	19	2	2	X
ejpam-4765	199	20	.	.	X
ejpam-4765	199	21	assume	assume	VERB
ejpam-4765	199	22	that	that	SCONJ
ejpam-4765	199	23	the	the	DET
ejpam-4765	199	24	distribution	distribution	NOUN
ejpam-4765	199	25	f	f	PROPN
ejpam-4765	199	26	satisfies	satisfy	VERB
ejpam-4765	199	27	the	the	DET
ejpam-4765	199	28	regularly	regularly	ADV
ejpam-4765	199	29	varying	vary	VERB
ejpam-4765	199	30	condition	condition	NOUN
ejpam-4765	199	31	(	(	PUNCT
ejpam-4765	199	32	5	5	NUM
ejpam-4765	199	33	)	)	PUNCT
ejpam-4765	199	34	with	with	ADP
ejpam-4765	199	35	γ	γ	PROPN
ejpam-4765	199	36	∈	∈	PROPN
ejpam-4765	199	37	(	(	PUNCT
ejpam-4765	199	38	1/2	1/2	NUM
ejpam-4765	199	39	,	,	PUNCT
ejpam-4765	199	40	1	1	NUM
ejpam-4765	199	41	)	)	PUNCT
ejpam-4765	199	42	.	.	PUNCT
ejpam-4765	200	1	if	if	SCONJ
ejpam-4765	200	2	k	k	PROPN
ejpam-4765	200	3	=	=	SYM
ejpam-4765	200	4	k(n	k(n	X
ejpam-4765	200	5	)	)	PUNCT
ejpam-4765	200	6	is	be	AUX
ejpam-4765	200	7	a	a	DET
ejpam-4765	200	8	sequence	sequence	NOUN
ejpam-4765	200	9	of	of	ADP
ejpam-4765	200	10	integers	integer	NOUN
ejpam-4765	200	11	satisfying	satisfy	VERB
ejpam-4765	200	12	k	k	PROPN
ejpam-4765	200	13	→	→	SYM
ejpam-4765	200	14	∞	∞	PROPN
ejpam-4765	200	15	,	,	PUNCT
ejpam-4765	200	16	k	k	X
ejpam-4765	200	17	/	/	SYM
ejpam-4765	200	18	n	n	PROPN
ejpam-4765	200	19	→	→	SYM
ejpam-4765	200	20	0	0	NUM
ejpam-4765	200	21	,	,	PUNCT
ejpam-4765	200	22	as	as	ADP
ejpam-4765	200	23	n	n	X
ejpam-4765	200	24	→	→	SYM
ejpam-4765	200	25	∞	∞	PROPN
ejpam-4765	200	26	,	,	PUNCT
ejpam-4765	200	27	then	then	ADV
ejpam-4765	200	28	for	for	ADP
ejpam-4765	200	29	0	0	NUM
ejpam-4765	200	30	<	<	X
ejpam-4765	200	31	α	α	X
ejpam-4765	200	32	<	<	X
ejpam-4765	200	33	β	β	X
ejpam-4765	200	34	<	<	X
ejpam-4765	200	35	1	1	NUM
ejpam-4765	200	36	−	−	PROPN
ejpam-4765	200	37	k	k	NOUN
ejpam-4765	200	38	/	/	SYM
ejpam-4765	200	39	n	n	CCONJ
ejpam-4765	200	40	,	,	PUNCT
ejpam-4765	200	41	we	we	PRON
ejpam-4765	200	42	have	have	VERB
ejpam-4765	200	43	:	:	PUNCT
ejpam-4765	200	44	√	√	PROPN
ejpam-4765	200	45	n	n	CCONJ
ejpam-4765	200	46	{	{	PUNCT
ejpam-4765	200	47	un	un	PROPN
ejpam-4765	200	48	,	,	PUNCT
ejpam-4765	200	49	k,1(qn	k,1(qn	PROPN
ejpam-4765	200	50	,	,	PUNCT
ejpam-4765	200	51	β	β	NOUN
ejpam-4765	200	52	)	)	PUNCT
ejpam-4765	200	53	ln(α	ln(α	PROPN
ejpam-4765	200	54	)	)	PUNCT
ejpam-4765	201	1	−	−	PRON
ejpam-4765	201	2	un	un	PROPN
ejpam-4765	201	3	,	,	PUNCT
ejpam-4765	201	4	k,1(q	k,1(q	NOUN
ejpam-4765	201	5	,	,	PUNCT
ejpam-4765	201	6	β	β	NOUN
ejpam-4765	201	7	)	)	PUNCT
ejpam-4765	201	8	l(q	l(q	PROPN
ejpam-4765	201	9	,	,	PUNCT
ejpam-4765	201	10	α	α	NOUN
ejpam-4765	201	11	)	)	PUNCT
ejpam-4765	201	12	}	}	PUNCT
ejpam-4765	201	13	(	(	PUNCT
ejpam-4765	201	14	k	k	X
ejpam-4765	201	15	/	/	SYM
ejpam-4765	201	16	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	201	17	,	,	PUNCT
ejpam-4765	201	18	n	n	PROPN
ejpam-4765	201	19	d	d	NOUN
ejpam-4765	201	20	=	=	SYM
ejpam-4765	201	21	wn	wn	PROPN
ejpam-4765	201	22	,	,	PUNCT
ejpam-4765	201	23	α,1	α,1	NOUN
ejpam-4765	201	24	+	+	CCONJ
ejpam-4765	201	25	op(1	op(1	NOUN
ejpam-4765	201	26	)	)	PUNCT
ejpam-4765	201	27	,	,	PUNCT
ejpam-4765	201	28	(	(	PUNCT
ejpam-4765	201	29	19	19	NUM
ejpam-4765	201	30	)	)	PUNCT
ejpam-4765	201	31	as	as	ADP
ejpam-4765	201	32	n	n	PROPN
ejpam-4765	201	33	→	→	SYM
ejpam-4765	201	34	∞	∞	PROPN
ejpam-4765	201	35	,	,	PUNCT
ejpam-4765	201	36	where	where	SCONJ
ejpam-4765	201	37	wn	wn	PROPN
ejpam-4765	201	38	,	,	PUNCT
ejpam-4765	201	39	α,1	α,1	NOUN
ejpam-4765	201	40	:	:	PUNCT
ejpam-4765	201	41	=	=	PUNCT
ejpam-4765	202	1	−	−	PROPN
ejpam-4765	202	2	∫	∫	PROPN
ejpam-4765	202	3	1−k	1−k	NUM
ejpam-4765	202	4	/	/	SYM
ejpam-4765	202	5	n	n	CCONJ
ejpam-4765	202	6	0	0	NUM
ejpam-4765	202	7	bn(s)dq(s	bn(s)dq(s	ADJ
ejpam-4765	202	8	)	)	PUNCT
ejpam-4765	202	9	l(q	l(q	PROPN
ejpam-4765	202	10	,	,	PUNCT
ejpam-4765	202	11	α	α	X
ejpam-4765	202	12	)	)	PUNCT
ejpam-4765	202	13	(	(	PUNCT
ejpam-4765	202	14	k	k	X
ejpam-4765	202	15	/	/	SYM
ejpam-4765	202	16	n)1/2q(1	n)1/2q(1	NOUN
ejpam-4765	202	17	−	−	PROPN
ejpam-4765	202	18	k	k	NOUN
ejpam-4765	202	19	/	/	SYM
ejpam-4765	202	20	n	n	CCONJ
ejpam-4765	202	21	)	)	PUNCT
ejpam-4765	202	22	.	.	PUNCT
ejpam-4765	203	1	lemma	lemma	PROPN
ejpam-4765	204	1	3	3	X
ejpam-4765	204	2	.	.	PUNCT
ejpam-4765	205	1	under	under	ADP
ejpam-4765	205	2	the	the	DET
ejpam-4765	205	3	assumptions	assumption	NOUN
ejpam-4765	205	4	of	of	ADP
ejpam-4765	205	5	theorem	theorem	NOUN
ejpam-4765	205	6	1	1	NUM
ejpam-4765	205	7	,	,	PUNCT
ejpam-4765	205	8	we	we	PRON
ejpam-4765	205	9	have	have	VERB
ejpam-4765	205	10	for	for	ADP
ejpam-4765	205	11	0	0	NUM
ejpam-4765	205	12	<	<	X
ejpam-4765	205	13	α	α	X
ejpam-4765	205	14	<	<	X
ejpam-4765	205	15	1	1	NUM
ejpam-4765	205	16	−	−	PROPN
ejpam-4765	205	17	k	k	NOUN
ejpam-4765	205	18	/	/	SYM
ejpam-4765	205	19	n	n	CCONJ
ejpam-4765	205	20	:	:	PUNCT
ejpam-4765	205	21	√	√	PROPN
ejpam-4765	205	22	n	n	CCONJ
ejpam-4765	205	23	un	un	ADJ
ejpam-4765	205	24	,	,	PUNCT
ejpam-4765	205	25	k,2	k,2	X
ejpam-4765	205	26	(	(	PUNCT
ejpam-4765	205	27	q	q	PROPN
ejpam-4765	205	28	(	(	PUNCT
ejpam-4765	205	29	k	k	NOUN
ejpam-4765	205	30	)	)	PUNCT
ejpam-4765	205	31	n	n	CCONJ
ejpam-4765	205	32	,	,	PUNCT
ejpam-4765	205	33	k	k	PROPN
ejpam-4765	205	34	)	)	PUNCT
ejpam-4765	205	35	ln(α	ln(α	PROPN
ejpam-4765	205	36	)	)	PUNCT
ejpam-4765	206	1	−	−	PRON
ejpam-4765	206	2	un	un	PROPN
ejpam-4765	206	3	,	,	PUNCT
ejpam-4765	206	4	k,2(q	k,2(q	PROPN
ejpam-4765	206	5	)	)	PUNCT
ejpam-4765	206	6	l(q	l(q	PROPN
ejpam-4765	206	7	,	,	PUNCT
ejpam-4765	206	8	α	α	NOUN
ejpam-4765	206	9	)	)	PUNCT
ejpam-4765	206	10			NOUN
ejpam-4765	206	11	(	(	PUNCT
ejpam-4765	206	12	k	k	NOUN
ejpam-4765	206	13	/	/	SYM
ejpam-4765	206	14	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	206	15	,	,	PUNCT
ejpam-4765	206	16	n	n	PROPN
ejpam-4765	206	17	d	d	NOUN
ejpam-4765	206	18	=	=	SYM
ejpam-4765	206	19	λab(η	λab(η	PROPN
ejpam-4765	206	20	)	)	PUNCT
ejpam-4765	207	1	k	k	NOUN
ejpam-4765	207	2	(	(	PUNCT
ejpam-4765	207	3	γ	γ	X
ejpam-4765	207	4	,	,	PUNCT
ejpam-4765	207	5	ρ	ρ	PROPN
ejpam-4765	207	6	,	,	PUNCT
ejpam-4765	207	7	α	α	NOUN
ejpam-4765	207	8	)	)	PUNCT
ejpam-4765	207	9	+	+	CCONJ
ejpam-4765	207	10	wn	wn	PROPN
ejpam-4765	207	11	,	,	PUNCT
ejpam-4765	207	12	α,2	α,2	NUM
ejpam-4765	207	13	+	+	CCONJ
ejpam-4765	207	14	wn	wn	PROPN
ejpam-4765	207	15	,	,	PUNCT
ejpam-4765	207	16	α,3	α,3	NUM
ejpam-4765	207	17	+	+	CCONJ
ejpam-4765	207	18	op(1	op(1	NOUN
ejpam-4765	207	19	)	)	PUNCT
ejpam-4765	207	20	,	,	PUNCT
ejpam-4765	207	21	(	(	PUNCT
ejpam-4765	207	22	20	20	NUM
ejpam-4765	207	23	)	)	PUNCT
ejpam-4765	207	24	as	as	ADP
ejpam-4765	207	25	n	n	PROPN
ejpam-4765	207	26	→	→	SYM
ejpam-4765	207	27	∞	∞	PROPN
ejpam-4765	207	28	,	,	PUNCT
ejpam-4765	207	29	where	where	SCONJ
ejpam-4765	207	30	ab(η	ab(η	NUM
ejpam-4765	207	31	)	)	PUNCT
ejpam-4765	208	1	k	k	X
ejpam-4765	208	2	(	(	PUNCT
ejpam-4765	208	3	γ	γ	X
ejpam-4765	208	4	,	,	PUNCT
ejpam-4765	208	5	ρ	ρ	PROPN
ejpam-4765	208	6	,	,	PUNCT
ejpam-4765	208	7	α	α	NOUN
ejpam-4765	208	8	)	)	PUNCT
ejpam-4765	208	9	is	be	AUX
ejpam-4765	208	10	defined	define	VERB
ejpam-4765	208	11	in	in	ADP
ejpam-4765	208	12	theorem	theorem	ADJ
ejpam-4765	208	13	1	1	NUM
ejpam-4765	208	14	and	and	PROPN
ejpam-4765	208	15	wn	wn	PROPN
ejpam-4765	208	16	,	,	PUNCT
ejpam-4765	208	17	α,2	α,2	NUM
ejpam-4765	208	18	:	:	PUNCT
ejpam-4765	209	1	=	=	PUNCT
ejpam-4765	209	2	−	−	PROPN
ejpam-4765	209	3	γ	γ	X
ejpam-4765	209	4	(	(	PUNCT
ejpam-4765	209	5	1	1	NUM
ejpam-4765	209	6	−	−	PROPN
ejpam-4765	209	7	γ	γ	X
ejpam-4765	209	8	)	)	PUNCT
ejpam-4765	209	9	l(q	l(q	PROPN
ejpam-4765	209	10	,	,	PUNCT
ejpam-4765	209	11	α	α	NOUN
ejpam-4765	209	12	)	)	PUNCT
ejpam-4765	209	13	√	√	PROPN
ejpam-4765	209	14	n	n	CCONJ
ejpam-4765	209	15	k	k	PROPN
ejpam-4765	209	16	bn(1	bn(1	PROPN
ejpam-4765	209	17	−	−	PROPN
ejpam-4765	209	18	k	k	NOUN
ejpam-4765	209	19	/	/	SYM
ejpam-4765	209	20	n	n	CCONJ
ejpam-4765	209	21	)	)	PUNCT
ejpam-4765	209	22	,	,	PUNCT
ejpam-4765	209	23	wn	wn	PROPN
ejpam-4765	209	24	,	,	PUNCT
ejpam-4765	209	25	α,3	α,3	NUM
ejpam-4765	209	26	:	:	PUNCT
ejpam-4765	209	27	=	=	SYM
ejpam-4765	209	28	γ	γ	X
ejpam-4765	209	29	(	(	PUNCT
ejpam-4765	209	30	1	1	NUM
ejpam-4765	209	31	−	−	PROPN
ejpam-4765	209	32	γ)2	γ)2	NOUN
ejpam-4765	209	33	l(q	l(q	PROPN
ejpam-4765	209	34	,	,	PUNCT
ejpam-4765	209	35	α	α	NOUN
ejpam-4765	209	36	)	)	PUNCT
ejpam-4765	209	37	√	√	PROPN
ejpam-4765	209	38	n	n	CCONJ
ejpam-4765	209	39	k	k	NOUN
ejpam-4765	209	40	∫	∫	PROPN
ejpam-4765	209	41	1	1	NUM
ejpam-4765	209	42	0	0	NUM
ejpam-4765	209	43	s−1bn(1	s−1bn(1	X
ejpam-4765	209	44	−	−	PRON
ejpam-4765	209	45	sk	sk	INTJ
ejpam-4765	209	46	/	/	SYM
ejpam-4765	209	47	n)d(sk(s	n)d(sk(s	NOUN
ejpam-4765	209	48	)	)	PUNCT
ejpam-4765	209	49	)	)	PUNCT
ejpam-4765	209	50	.	.	PUNCT
ejpam-4765	210	1	now	now	ADV
ejpam-4765	210	2	,	,	PUNCT
ejpam-4765	210	3	coming	come	VERB
ejpam-4765	210	4	back	back	ADV
ejpam-4765	210	5	to	to	ADP
ejpam-4765	210	6	the	the	DET
ejpam-4765	210	7	proof	proof	NOUN
ejpam-4765	210	8	of	of	ADP
ejpam-4765	210	9	the	the	DET
ejpam-4765	210	10	theorem	theorem	NOUN
ejpam-4765	210	11	,	,	PUNCT
ejpam-4765	210	12	under	under	ADP
ejpam-4765	210	13	assumptions	assumption	NOUN
ejpam-4765	210	14	,	,	PUNCT
ejpam-4765	210	15	we	we	PRON
ejpam-4765	210	16	have	have	VERB
ejpam-4765	210	17	:	:	PUNCT
ejpam-4765	210	18	η̂	η̂	NUM
ejpam-4765	210	19	(	(	PUNCT
ejpam-4765	210	20	k	k	NOUN
ejpam-4765	210	21	)	)	PUNCT
ejpam-4765	210	22	n	n	CCONJ
ejpam-4765	210	23	,	,	PUNCT
ejpam-4765	210	24	k	k	PROPN
ejpam-4765	210	25	(	(	PUNCT
ejpam-4765	210	26	α	α	NOUN
ejpam-4765	210	27	,	,	PUNCT
ejpam-4765	210	28	β	β	NOUN
ejpam-4765	210	29	)	)	PUNCT
ejpam-4765	211	1	−	−	ADP
ejpam-4765	211	2	η(q	η(q	NOUN
ejpam-4765	211	3	,	,	PUNCT
ejpam-4765	211	4	α	α	NOUN
ejpam-4765	211	5	,	,	PUNCT
ejpam-4765	211	6	β	β	NOUN
ejpam-4765	211	7	)	)	PUNCT
ejpam-4765	211	8	=	=	SYM
ejpam-4765	211	9	{	{	PUNCT
ejpam-4765	211	10	un	un	PROPN
ejpam-4765	211	11	,	,	PUNCT
ejpam-4765	211	12	k,1(qn	k,1(qn	PROPN
ejpam-4765	211	13	,	,	PUNCT
ejpam-4765	211	14	β	β	NOUN
ejpam-4765	211	15	)	)	PUNCT
ejpam-4765	211	16	ln(α	ln(α	PROPN
ejpam-4765	211	17	)	)	PUNCT
ejpam-4765	212	1	−	−	PRON
ejpam-4765	212	2	un	un	PROPN
ejpam-4765	212	3	,	,	PUNCT
ejpam-4765	212	4	k,1(q	k,1(q	NOUN
ejpam-4765	212	5	,	,	PUNCT
ejpam-4765	212	6	β	β	NOUN
ejpam-4765	212	7	)	)	PUNCT
ejpam-4765	212	8	l(q	l(q	PROPN
ejpam-4765	212	9	,	,	PUNCT
ejpam-4765	212	10	α	α	NOUN
ejpam-4765	212	11	)	)	PUNCT
ejpam-4765	212	12	}	}	PUNCT
ejpam-4765	213	1	+	+	CCONJ
ejpam-4765	213	2	un	un	ADJ
ejpam-4765	213	3	,	,	PUNCT
ejpam-4765	213	4	k,2	k,2	X
ejpam-4765	213	5	(	(	PUNCT
ejpam-4765	213	6	q	q	PROPN
ejpam-4765	213	7	(	(	PUNCT
ejpam-4765	213	8	k	k	NOUN
ejpam-4765	213	9	)	)	PUNCT
ejpam-4765	213	10	n	n	CCONJ
ejpam-4765	213	11	,	,	PUNCT
ejpam-4765	213	12	k	k	PROPN
ejpam-4765	213	13	)	)	PUNCT
ejpam-4765	213	14	ln(α	ln(α	PROPN
ejpam-4765	213	15	)	)	PUNCT
ejpam-4765	213	16	−	−	PRON
ejpam-4765	213	17	un	un	PROPN
ejpam-4765	213	18	,	,	PUNCT
ejpam-4765	213	19	k,2(q	k,2(q	PROPN
ejpam-4765	213	20	)	)	PUNCT
ejpam-4765	213	21	l(q	l(q	PROPN
ejpam-4765	213	22	,	,	PUNCT
ejpam-4765	213	23	α	α	NOUN
ejpam-4765	213	24	)	)	PUNCT
ejpam-4765	214	1			NOUN
ejpam-4765	214	2	:	:	PUNCT
ejpam-4765	214	3	=	=	SYM
ejpam-4765	214	4	an,1	an,1	PROPN
ejpam-4765	214	5	+	+	CCONJ
ejpam-4765	214	6	an,2	an,2	PROPN
ejpam-4765	214	7	.	.	PUNCT
ejpam-4765	215	1	(	(	PUNCT
ejpam-4765	215	2	21	21	NUM
ejpam-4765	215	3	)	)	PUNCT
ejpam-4765	215	4	for	for	ADP
ejpam-4765	215	5	all	all	DET
ejpam-4765	215	6	values	value	NOUN
ejpam-4765	215	7	of	of	ADP
ejpam-4765	215	8	n	n	CCONJ
ejpam-4765	215	9	large	large	ADJ
ejpam-4765	215	10	enough	enough	ADV
ejpam-4765	215	11	,	,	PUNCT
ejpam-4765	215	12	we	we	PRON
ejpam-4765	215	13	get	get	VERB
ejpam-4765	215	14	respectively	respectively	ADV
ejpam-4765	215	15	from	from	ADP
ejpam-4765	215	16	lemma	lemma	PROPN
ejpam-4765	215	17	2	2	PROPN
ejpam-4765	215	18	and	and	CCONJ
ejpam-4765	215	19	lemma	lemma	PROPN
ejpam-4765	215	20	3	3	NUM
ejpam-4765	215	21	:	:	PUNCT
ejpam-4765	215	22	√	√	PROPN
ejpam-4765	215	23	n	n	PRON
ejpam-4765	215	24	an,1	an,1	PROPN
ejpam-4765	215	25	(	(	PUNCT
ejpam-4765	215	26	k	k	NOUN
ejpam-4765	215	27	/	/	SYM
ejpam-4765	215	28	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	215	29	,	,	PUNCT
ejpam-4765	215	30	n	n	PROPN
ejpam-4765	215	31	d	d	NOUN
ejpam-4765	215	32	=	=	SYM
ejpam-4765	215	33	wn	wn	PROPN
ejpam-4765	215	34	,	,	PUNCT
ejpam-4765	215	35	α,1	α,1	NOUN
ejpam-4765	215	36	+	+	CCONJ
ejpam-4765	215	37	op(1	op(1	NOUN
ejpam-4765	215	38	)	)	PUNCT
ejpam-4765	215	39	,	,	PUNCT
ejpam-4765	216	1	m.	m.	NOUN
ejpam-4765	216	2	kebe	kebe	PROPN
ejpam-4765	216	3	et	et	PROPN
ejpam-4765	216	4	al	al	PROPN
ejpam-4765	216	5	.	.	PUNCT
ejpam-4765	216	6	/	/	SYM
ejpam-4765	216	7	eur	eur	PROPN
ejpam-4765	216	8	.	.	PUNCT
ejpam-4765	217	1	j.	j.	PROPN
ejpam-4765	217	2	pure	pure	PROPN
ejpam-4765	217	3	appl	appl	PROPN
ejpam-4765	217	4	.	.	PROPN
ejpam-4765	217	5	math	math	PROPN
ejpam-4765	217	6	,	,	PUNCT
ejpam-4765	217	7	16	16	NUM
ejpam-4765	217	8	(	(	PUNCT
ejpam-4765	217	9	4	4	NUM
ejpam-4765	217	10	)	)	PUNCT
ejpam-4765	217	11	(	(	PUNCT
ejpam-4765	217	12	2023	2023	NUM
ejpam-4765	217	13	)	)	PUNCT
ejpam-4765	217	14	,	,	PUNCT
ejpam-4765	217	15	2509	2509	NUM
ejpam-4765	217	16	-	-	SYM
ejpam-4765	217	17	2543	2543	NUM
ejpam-4765	217	18	2519	2519	NUM
ejpam-4765	217	19	and	and	CCONJ
ejpam-4765	217	20	√	√	NUM
ejpam-4765	217	21	nan,2	nan,2	VERB
ejpam-4765	217	22	(	(	PUNCT
ejpam-4765	217	23	k	k	NOUN
ejpam-4765	217	24	/	/	SYM
ejpam-4765	217	25	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	217	26	,	,	PUNCT
ejpam-4765	217	27	n	n	PROPN
ejpam-4765	217	28	d	d	NOUN
ejpam-4765	217	29	=	=	SYM
ejpam-4765	217	30	λab(η	λab(η	PROPN
ejpam-4765	217	31	)	)	PUNCT
ejpam-4765	218	1	k	k	NOUN
ejpam-4765	218	2	(	(	PUNCT
ejpam-4765	218	3	γ	γ	X
ejpam-4765	218	4	,	,	PUNCT
ejpam-4765	218	5	ρ	ρ	PROPN
ejpam-4765	218	6	,	,	PUNCT
ejpam-4765	218	7	α	α	NOUN
ejpam-4765	218	8	)	)	PUNCT
ejpam-4765	218	9	+	+	CCONJ
ejpam-4765	218	10	wn	wn	PROPN
ejpam-4765	218	11	,	,	PUNCT
ejpam-4765	218	12	α,2	α,2	NUM
ejpam-4765	218	13	+	+	CCONJ
ejpam-4765	218	14	wn	wn	PROPN
ejpam-4765	218	15	,	,	PUNCT
ejpam-4765	218	16	α,3	α,3	NUM
ejpam-4765	218	17	+	+	CCONJ
ejpam-4765	218	18	op(1	op(1	NOUN
ejpam-4765	218	19	)	)	PUNCT
ejpam-4765	218	20	.	.	PUNCT
ejpam-4765	219	1	this	this	PRON
ejpam-4765	219	2	leads	lead	VERB
ejpam-4765	219	3	to	to	ADP
ejpam-4765	219	4	√	√	PROPN
ejpam-4765	219	5	n	n	CCONJ
ejpam-4765	219	6	(	(	PUNCT
ejpam-4765	219	7	η̂	η̂	PROPN
ejpam-4765	219	8	(	(	PUNCT
ejpam-4765	219	9	k	k	NOUN
ejpam-4765	219	10	)	)	PUNCT
ejpam-4765	219	11	n	n	CCONJ
ejpam-4765	219	12	,	,	PUNCT
ejpam-4765	219	13	k	k	PROPN
ejpam-4765	219	14	(	(	PUNCT
ejpam-4765	219	15	α	α	NOUN
ejpam-4765	219	16	,	,	PUNCT
ejpam-4765	219	17	β	β	NOUN
ejpam-4765	219	18	)	)	PUNCT
ejpam-4765	219	19	−	−	ADP
ejpam-4765	219	20	η(q	η(q	NOUN
ejpam-4765	219	21	,	,	PUNCT
ejpam-4765	219	22	α	α	NOUN
ejpam-4765	219	23	,	,	PUNCT
ejpam-4765	219	24	β	β	NOUN
ejpam-4765	219	25	)	)	PUNCT
ejpam-4765	219	26	)	)	PUNCT
ejpam-4765	220	1	(	(	PUNCT
ejpam-4765	220	2	k	k	X
ejpam-4765	220	3	/	/	SYM
ejpam-4765	220	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	220	5	,	,	PUNCT
ejpam-4765	220	6	n	n	PROPN
ejpam-4765	220	7	d	d	NOUN
ejpam-4765	220	8	=	=	SYM
ejpam-4765	220	9	λab(η	λab(η	PROPN
ejpam-4765	220	10	)	)	PUNCT
ejpam-4765	221	1	k	k	NOUN
ejpam-4765	221	2	(	(	PUNCT
ejpam-4765	221	3	γ	γ	X
ejpam-4765	221	4	,	,	PUNCT
ejpam-4765	221	5	ρ	ρ	PROPN
ejpam-4765	221	6	,	,	PUNCT
ejpam-4765	221	7	α	α	NOUN
ejpam-4765	221	8	)	)	PUNCT
ejpam-4765	221	9	+	+	CCONJ
ejpam-4765	221	10	wn	wn	PROPN
ejpam-4765	221	11	,	,	PUNCT
ejpam-4765	221	12	α,1	α,1	PROPN
ejpam-4765	222	1	+	+	PROPN
ejpam-4765	222	2	wn	wn	PROPN
ejpam-4765	222	3	,	,	PUNCT
ejpam-4765	222	4	α,2	α,2	NUM
ejpam-4765	222	5	+	+	CCONJ
ejpam-4765	222	6	wn	wn	PROPN
ejpam-4765	222	7	,	,	PUNCT
ejpam-4765	222	8	α,3	α,3	NUM
ejpam-4765	222	9	+	+	CCONJ
ejpam-4765	222	10	op(1	op(1	NOUN
ejpam-4765	222	11	)	)	PUNCT
ejpam-4765	222	12	.	.	PUNCT
ejpam-4765	223	1	(	(	PUNCT
ejpam-4765	223	2	22	22	NUM
ejpam-4765	223	3	)	)	PUNCT
ejpam-4765	223	4	now	now	ADV
ejpam-4765	223	5	,	,	PUNCT
ejpam-4765	223	6	our	our	PRON
ejpam-4765	223	7	next	next	ADJ
ejpam-4765	223	8	step	step	NOUN
ejpam-4765	223	9	is	be	AUX
ejpam-4765	223	10	to	to	PART
ejpam-4765	223	11	compute	compute	VERB
ejpam-4765	223	12	the	the	DET
ejpam-4765	223	13	asymptotic	asymptotic	ADJ
ejpam-4765	223	14	variance	variance	NOUN
ejpam-4765	223	15	of	of	ADP
ejpam-4765	223	16	the	the	DET
ejpam-4765	223	17	process	process	NOUN
ejpam-4765	223	18	wn	wn	PROPN
ejpam-4765	223	19	,	,	PUNCT
ejpam-4765	223	20	α,1	α,1	PROPN
ejpam-4765	223	21	+	+	CCONJ
ejpam-4765	223	22	wn	wn	PROPN
ejpam-4765	223	23	,	,	PUNCT
ejpam-4765	223	24	α,2	α,2	PROPN
ejpam-4765	223	25	+	+	CCONJ
ejpam-4765	223	26	wn	wn	PROPN
ejpam-4765	223	27	,	,	PUNCT
ejpam-4765	223	28	α,3	α,3	PROPN
ejpam-4765	223	29	.	.	PUNCT
ejpam-4765	224	1	the	the	DET
ejpam-4765	224	2	computations	computation	NOUN
ejpam-4765	224	3	quite	quite	ADV
ejpam-4765	224	4	direct	direct	ADJ
ejpam-4765	224	5	and	and	CCONJ
ejpam-4765	224	6	we	we	PRON
ejpam-4765	224	7	give	give	VERB
ejpam-4765	224	8	below	below	ADP
ejpam-4765	224	9	the	the	DET
ejpam-4765	224	10	main	main	ADJ
ejpam-4765	224	11	arguments	argument	NOUN
ejpam-4765	224	12	,	,	PUNCT
ejpam-4765	224	13	i.e.	i.e.	X
ejpam-4765	224	14	ew	ew	ADP
ejpam-4765	224	15	2	2	NUM
ejpam-4765	224	16	n	n	NUM
ejpam-4765	224	17	,	,	PUNCT
ejpam-4765	224	18	α,1	α,1	PROPN
ejpam-4765	224	19	=	=	SYM
ejpam-4765	224	20	∫	∫	PROPN
ejpam-4765	224	21	1−k	1−k	NUM
ejpam-4765	224	22	/	/	SYM
ejpam-4765	224	23	n	n	NOUN
ejpam-4765	224	24	0	0	NUM
ejpam-4765	224	25	(	(	PUNCT
ejpam-4765	224	26	1	1	NUM
ejpam-4765	224	27	−	−	PROPN
ejpam-4765	224	28	t	t	PROPN
ejpam-4765	224	29	)	)	PUNCT
ejpam-4765	224	30	(	(	PUNCT
ejpam-4765	224	31	∫	∫	PROPN
ejpam-4765	224	32	t	t	PROPN
ejpam-4765	224	33	0	0	NUM
ejpam-4765	224	34	sdq(s	sdq(s	PROPN
ejpam-4765	224	35	)	)	PUNCT
ejpam-4765	224	36	)	)	PUNCT
ejpam-4765	224	37	dq(t	dq(t	X
ejpam-4765	225	1	)	)	PUNCT
ejpam-4765	225	2	l2(q	l2(q	PROPN
ejpam-4765	225	3	,	,	PUNCT
ejpam-4765	225	4	α	α	NOUN
ejpam-4765	225	5	)	)	PUNCT
ejpam-4765	225	6	k	k	NOUN
ejpam-4765	225	7	/	/	SYM
ejpam-4765	225	8	nq2(1	nq2(1	NOUN
ejpam-4765	225	9	−	−	PROPN
ejpam-4765	225	10	k	k	NOUN
ejpam-4765	225	11	/	/	SYM
ejpam-4765	225	12	n	n	CCONJ
ejpam-4765	225	13	)	)	PUNCT
ejpam-4765	225	14	+	+	CCONJ
ejpam-4765	225	15	∫	∫	PROPN
ejpam-4765	225	16	1−k	1−k	NUM
ejpam-4765	225	17	/	/	SYM
ejpam-4765	225	18	n	n	PROPN
ejpam-4765	225	19	0	0	NUM
ejpam-4765	225	20	t	t	NOUN
ejpam-4765	225	21	(	(	PUNCT
ejpam-4765	225	22	∫	∫	PROPN
ejpam-4765	225	23	1−k	1−k	NUM
ejpam-4765	225	24	/	/	SYM
ejpam-4765	225	25	n	n	PROPN
ejpam-4765	225	26	t	t	NOUN
ejpam-4765	225	27	(	(	PUNCT
ejpam-4765	225	28	1	1	NUM
ejpam-4765	225	29	−	−	NOUN
ejpam-4765	225	30	s)dq(s	s)dq(s	NOUN
ejpam-4765	225	31	)	)	PUNCT
ejpam-4765	225	32	)	)	PUNCT
ejpam-4765	225	33	dq(t	dq(t	X
ejpam-4765	225	34	)	)	PUNCT
ejpam-4765	226	1	l2(q	l2(q	PROPN
ejpam-4765	226	2	,	,	PUNCT
ejpam-4765	226	3	α	α	NOUN
ejpam-4765	226	4	)	)	PUNCT
ejpam-4765	226	5	k	k	NOUN
ejpam-4765	226	6	/	/	SYM
ejpam-4765	226	7	nq2(1	nq2(1	NOUN
ejpam-4765	226	8	−	−	PROPN
ejpam-4765	226	9	k	k	NOUN
ejpam-4765	226	10	/	/	SYM
ejpam-4765	226	11	n	n	CCONJ
ejpam-4765	226	12	)	)	PUNCT
ejpam-4765	226	13	=	=	SYM
ejpam-4765	227	1	∫	∫	PROPN
ejpam-4765	227	2	1	1	NUM
ejpam-4765	227	3	k	k	NOUN
ejpam-4765	227	4	/	/	SYM
ejpam-4765	227	5	n	n	PART
ejpam-4765	227	6	u	u	NOUN
ejpam-4765	227	7	(	(	PUNCT
ejpam-4765	227	8	∫	∫	PROPN
ejpam-4765	227	9	1	1	NUM
ejpam-4765	227	10	u	u	NOUN
ejpam-4765	227	11	dq(1	dq(1	PROPN
ejpam-4765	227	12	−	−	PROPN
ejpam-4765	227	13	v	v	NOUN
ejpam-4765	227	14	)	)	PUNCT
ejpam-4765	227	15	)	)	PUNCT
ejpam-4765	228	1	dq(1	dq(1	NOUN
ejpam-4765	228	2	−	−	PROPN
ejpam-4765	228	3	u	u	NOUN
ejpam-4765	228	4	)	)	PUNCT
ejpam-4765	228	5	l2(q	l2(q	PROPN
ejpam-4765	228	6	,	,	PUNCT
ejpam-4765	228	7	α	α	NOUN
ejpam-4765	228	8	)	)	PUNCT
ejpam-4765	228	9	k	k	NOUN
ejpam-4765	228	10	/	/	SYM
ejpam-4765	228	11	nq2(1	nq2(1	NOUN
ejpam-4765	228	12	−	−	PROPN
ejpam-4765	228	13	k	k	NOUN
ejpam-4765	228	14	/	/	SYM
ejpam-4765	228	15	n	n	CCONJ
ejpam-4765	228	16	)	)	PUNCT
ejpam-4765	228	17	−	−	NOUN
ejpam-4765	228	18	∫	∫	PROPN
ejpam-4765	228	19	1	1	NUM
ejpam-4765	228	20	k	k	NOUN
ejpam-4765	228	21	/	/	SYM
ejpam-4765	228	22	n	n	PART
ejpam-4765	228	23	u	u	NOUN
ejpam-4765	228	24	(	(	PUNCT
ejpam-4765	228	25	∫	∫	PROPN
ejpam-4765	228	26	1	1	NUM
ejpam-4765	228	27	u	u	NOUN
ejpam-4765	228	28	vdq(1	vdq(1	ADJ
ejpam-4765	228	29	−	−	PROPN
ejpam-4765	228	30	v	v	NOUN
ejpam-4765	228	31	)	)	PUNCT
ejpam-4765	228	32	)	)	PUNCT
ejpam-4765	229	1	dq(1	dq(1	NOUN
ejpam-4765	229	2	−	−	PROPN
ejpam-4765	229	3	u	u	NOUN
ejpam-4765	229	4	)	)	PUNCT
ejpam-4765	229	5	l2(q	l2(q	PROPN
ejpam-4765	229	6	,	,	PUNCT
ejpam-4765	229	7	α	α	NOUN
ejpam-4765	229	8	)	)	PUNCT
ejpam-4765	229	9	k	k	NOUN
ejpam-4765	229	10	/	/	SYM
ejpam-4765	229	11	nq2(1	nq2(1	NOUN
ejpam-4765	229	12	−	−	PROPN
ejpam-4765	229	13	k	k	NOUN
ejpam-4765	229	14	/	/	SYM
ejpam-4765	229	15	n	n	CCONJ
ejpam-4765	229	16	)	)	PUNCT
ejpam-4765	230	1	+	+	CCONJ
ejpam-4765	230	2	∫	∫	PROPN
ejpam-4765	230	3	1	1	NUM
ejpam-4765	231	1	k	k	NOUN
ejpam-4765	231	2	/	/	SYM
ejpam-4765	231	3	n	n	PROPN
ejpam-4765	231	4	(	(	PUNCT
ejpam-4765	231	5	∫	∫	PROPN
ejpam-4765	231	6	u	u	PROPN
ejpam-4765	231	7	k	k	PROPN
ejpam-4765	231	8	/	/	SYM
ejpam-4765	231	9	n	n	CCONJ
ejpam-4765	231	10	vdq(1	vdq(1	ADJ
ejpam-4765	231	11	−	−	PROPN
ejpam-4765	231	12	v	v	NOUN
ejpam-4765	231	13	)	)	PUNCT
ejpam-4765	231	14	)	)	PUNCT
ejpam-4765	232	1	dq(1	dq(1	NOUN
ejpam-4765	232	2	−	−	PROPN
ejpam-4765	232	3	u	u	NOUN
ejpam-4765	232	4	)	)	PUNCT
ejpam-4765	232	5	l2(q	l2(q	PROPN
ejpam-4765	232	6	,	,	PUNCT
ejpam-4765	232	7	α	α	NOUN
ejpam-4765	232	8	)	)	PUNCT
ejpam-4765	232	9	k	k	NOUN
ejpam-4765	232	10	/	/	SYM
ejpam-4765	232	11	nq2(1	nq2(1	NOUN
ejpam-4765	232	12	−	−	PROPN
ejpam-4765	232	13	k	k	NOUN
ejpam-4765	232	14	/	/	SYM
ejpam-4765	232	15	n	n	CCONJ
ejpam-4765	232	16	)	)	PUNCT
ejpam-4765	232	17	−	−	NOUN
ejpam-4765	232	18	∫	∫	PROPN
ejpam-4765	232	19	1	1	NUM
ejpam-4765	232	20	k	k	NOUN
ejpam-4765	232	21	/	/	SYM
ejpam-4765	232	22	n	n	PART
ejpam-4765	232	23	u	u	NOUN
ejpam-4765	232	24	(	(	PUNCT
ejpam-4765	232	25	∫	∫	PROPN
ejpam-4765	232	26	u	u	PROPN
ejpam-4765	232	27	k	k	PROPN
ejpam-4765	232	28	/	/	SYM
ejpam-4765	232	29	n	n	CCONJ
ejpam-4765	232	30	vdq(1	vdq(1	ADJ
ejpam-4765	232	31	−	−	PROPN
ejpam-4765	232	32	v	v	NOUN
ejpam-4765	232	33	)	)	PUNCT
ejpam-4765	232	34	)	)	PUNCT
ejpam-4765	233	1	dq(1	dq(1	NOUN
ejpam-4765	233	2	−	−	PROPN
ejpam-4765	233	3	u	u	NOUN
ejpam-4765	233	4	)	)	PUNCT
ejpam-4765	233	5	l2(q	l2(q	PROPN
ejpam-4765	233	6	,	,	PUNCT
ejpam-4765	233	7	α	α	NOUN
ejpam-4765	233	8	)	)	PUNCT
ejpam-4765	233	9	k	k	NOUN
ejpam-4765	233	10	/	/	SYM
ejpam-4765	233	11	nq2(1	nq2(1	NOUN
ejpam-4765	233	12	−	−	PROPN
ejpam-4765	233	13	k	k	NOUN
ejpam-4765	233	14	/	/	SYM
ejpam-4765	233	15	n	n	CCONJ
ejpam-4765	233	16	)	)	PUNCT
ejpam-4765	234	1	=	=	NOUN
ejpam-4765	234	2	:	:	PUNCT
ejpam-4765	234	3	qn	qn	PROPN
ejpam-4765	234	4	,	,	PUNCT
ejpam-4765	234	5	α,1	α,1	NOUN
ejpam-4765	235	1	+	+	CCONJ
ejpam-4765	235	2	qn	qn	PROPN
ejpam-4765	235	3	,	,	PUNCT
ejpam-4765	235	4	α,2	α,2	NUM
ejpam-4765	235	5	+	+	CCONJ
ejpam-4765	235	6	qn	qn	NOUN
ejpam-4765	235	7	,	,	PUNCT
ejpam-4765	235	8	α,3	α,3	NUM
ejpam-4765	235	9	+	+	CCONJ
ejpam-4765	235	10	qn	qn	PROPN
ejpam-4765	235	11	,	,	PUNCT
ejpam-4765	235	12	α,4	α,4	NUM
ejpam-4765	235	13	.	.	PUNCT
ejpam-4765	236	1	recall	recall	VERB
ejpam-4765	236	2	now	now	ADV
ejpam-4765	236	3	that	that	SCONJ
ejpam-4765	236	4	q(1−s	q(1−s	NOUN
ejpam-4765	236	5	)	)	PUNCT
ejpam-4765	236	6	=	=	SYM
ejpam-4765	236	7	s−γℓq(s	s−γℓq(s	PROPN
ejpam-4765	236	8	)	)	PUNCT
ejpam-4765	236	9	with	with	ADP
ejpam-4765	236	10	ℓq	ℓq	PROPN
ejpam-4765	236	11	a	a	DET
ejpam-4765	236	12	slowly	slowly	ADV
ejpam-4765	236	13	varying	vary	VERB
ejpam-4765	236	14	function	function	NOUN
ejpam-4765	236	15	at	at	ADP
ejpam-4765	236	16	0	0	NUM
ejpam-4765	236	17	.	.	PUNCT
ejpam-4765	237	1	by	by	ADP
ejpam-4765	237	2	integration	integration	NOUN
ejpam-4765	237	3	by	by	ADP
ejpam-4765	237	4	parts	part	NOUN
ejpam-4765	237	5	and	and	CCONJ
ejpam-4765	237	6	using	use	VERB
ejpam-4765	237	7	lemma	lemma	PROPN
ejpam-4765	237	8	6	6	NUM
ejpam-4765	237	9	in	in	ADP
ejpam-4765	237	10	[	[	PUNCT
ejpam-4765	237	11	13	13	NUM
ejpam-4765	237	12	]	]	X
ejpam-4765	237	13	qn	qn	NOUN
ejpam-4765	237	14	,	,	PUNCT
ejpam-4765	237	15	α,1	α,1	NOUN
ejpam-4765	237	16	=	=	SYM
ejpam-4765	237	17	1	1	NUM
ejpam-4765	237	18	2l2(q	2l2(q	NUM
ejpam-4765	237	19	,	,	PUNCT
ejpam-4765	237	20	α	α	X
ejpam-4765	237	21	)	)	PUNCT
ejpam-4765	237	22	[	[	PUNCT
ejpam-4765	237	23	1	1	NUM
ejpam-4765	237	24	+	+	NUM
ejpam-4765	237	25	∫	∫	PROPN
ejpam-4765	237	26	1	1	NUM
ejpam-4765	237	27	k	k	PROPN
ejpam-4765	237	28	/	/	SYM
ejpam-4765	237	29	nq	nq	PROPN
ejpam-4765	237	30	2(1	2(1	NUM
ejpam-4765	237	31	−	−	NOUN
ejpam-4765	238	1	u)du	u)du	PROPN
ejpam-4765	238	2	k	k	ADJ
ejpam-4765	238	3	/	/	SYM
ejpam-4765	238	4	nq2(1	nq2(1	NOUN
ejpam-4765	238	5	−	−	PROPN
ejpam-4765	238	6	k	k	NOUN
ejpam-4765	238	7	/	/	SYM
ejpam-4765	238	8	n	n	CCONJ
ejpam-4765	238	9	)	)	PUNCT
ejpam-4765	238	10	]	]	PUNCT
ejpam-4765	239	1	−→	−→	PROPN
ejpam-4765	239	2	γ	γ	X
ejpam-4765	239	3	(	(	PUNCT
ejpam-4765	239	4	2γ	2γ	NOUN
ejpam-4765	239	5	−	−	PROPN
ejpam-4765	239	6	1)l2(q	1)l2(q	NUM
ejpam-4765	239	7	,	,	PUNCT
ejpam-4765	239	8	α	α	NOUN
ejpam-4765	239	9	)	)	PUNCT
ejpam-4765	239	10	.	.	PUNCT
ejpam-4765	240	1	remark	remark	VERB
ejpam-4765	240	2	that	that	SCONJ
ejpam-4765	241	1	d	d	PROPN
ejpam-4765	241	2	(	(	PUNCT
ejpam-4765	241	3	∫	∫	PROPN
ejpam-4765	241	4	1	1	NUM
ejpam-4765	241	5	u	u	NOUN
ejpam-4765	241	6	vdq(1	vdq(1	ADJ
ejpam-4765	241	7	−	−	PROPN
ejpam-4765	241	8	v	v	NOUN
ejpam-4765	241	9	)	)	PUNCT
ejpam-4765	241	10	)	)	PUNCT
ejpam-4765	242	1	=	=	SYM
ejpam-4765	242	2	−u	−u	PRON
ejpam-4765	242	3	dq(1	dq(1	PROPN
ejpam-4765	242	4	−	−	PROPN
ejpam-4765	242	5	u	u	NOUN
ejpam-4765	242	6	)	)	PUNCT
ejpam-4765	242	7	which	which	PRON
ejpam-4765	242	8	implies	imply	VERB
ejpam-4765	242	9	that	that	SCONJ
ejpam-4765	242	10	qn	qn	NOUN
ejpam-4765	242	11	,	,	PUNCT
ejpam-4765	242	12	α,2	α,2	NUM
ejpam-4765	242	13	=	=	SYM
ejpam-4765	242	14	−	−	PROPN
ejpam-4765	242	15	1	1	NUM
ejpam-4765	242	16	2l2(q	2l2(q	NUM
ejpam-4765	242	17	,	,	PUNCT
ejpam-4765	242	18	α	α	NOUN
ejpam-4765	242	19	)	)	PUNCT
ejpam-4765	242	20	k	k	PROPN
ejpam-4765	242	21	n	n	PROPN
ejpam-4765	243	1	[	[	X
ejpam-4765	243	2	∫	∫	PROPN
ejpam-4765	243	3	1	1	NUM
ejpam-4765	243	4	k	k	NOUN
ejpam-4765	243	5	/	/	SYM
ejpam-4765	243	6	n	n	CCONJ
ejpam-4765	243	7	vdq(1	vdq(1	ADJ
ejpam-4765	243	8	−	−	PROPN
ejpam-4765	243	9	v	v	NOUN
ejpam-4765	243	10	)	)	PUNCT
ejpam-4765	243	11	k	k	NOUN
ejpam-4765	243	12	/	/	SYM
ejpam-4765	243	13	nq(1	nq(1	PROPN
ejpam-4765	243	14	−	−	PROPN
ejpam-4765	243	15	k	k	NOUN
ejpam-4765	243	16	/	/	SYM
ejpam-4765	243	17	n	n	CCONJ
ejpam-4765	243	18	)	)	PUNCT
ejpam-4765	243	19	]	]	PUNCT
ejpam-4765	243	20	2	2	X
ejpam-4765	243	21	=	=	SYM
ejpam-4765	243	22	o(1	o(1	NOUN
ejpam-4765	243	23	)	)	PUNCT
ejpam-4765	243	24	(	(	PUNCT
ejpam-4765	243	25	23	23	NUM
ejpam-4765	243	26	)	)	PUNCT
ejpam-4765	243	27	this	this	DET
ejpam-4765	243	28	last	last	ADJ
ejpam-4765	243	29	result	result	NOUN
ejpam-4765	243	30	coming	come	VERB
ejpam-4765	243	31	from	from	ADP
ejpam-4765	243	32	the	the	DET
ejpam-4765	243	33	fact	fact	NOUN
ejpam-4765	243	34	that	that	SCONJ
ejpam-4765	243	35	,	,	PUNCT
ejpam-4765	243	36	according	accord	VERB
ejpam-4765	243	37	to	to	ADP
ejpam-4765	243	38	proposition	proposition	NOUN
ejpam-4765	243	39	1.3.6	1.3.6	NUM
ejpam-4765	243	40	in	in	ADP
ejpam-4765	243	41	[	[	X
ejpam-4765	243	42	5	5	NUM
ejpam-4765	243	43	]	]	PUNCT
ejpam-4765	243	44	for	for	ADP
ejpam-4765	243	45	all	all	DET
ejpam-4765	243	46	ε	ε	PROPN
ejpam-4765	243	47	>	>	X
ejpam-4765	243	48	0	0	NUM
ejpam-4765	243	49	,	,	PUNCT
ejpam-4765	243	50	x−εℓ(x	x−εℓ(x	NOUN
ejpam-4765	243	51	)	)	PUNCT
ejpam-4765	243	52	−→	−→	NOUN
ejpam-4765	243	53	∞	∞	NUM
ejpam-4765	243	54	as	as	ADP
ejpam-4765	243	55	x	x	X
ejpam-4765	243	56	→	→	SYM
ejpam-4765	243	57	0	0	NUM
ejpam-4765	243	58	.	.	PUNCT
ejpam-4765	243	59	thus	thus	ADV
ejpam-4765	243	60	,	,	PUNCT
ejpam-4765	243	61	choosing	choose	VERB
ejpam-4765	243	62	0	0	NUM
ejpam-4765	243	63	<	<	X
ejpam-4765	243	64	ε	ε	PROPN
ejpam-4765	243	65	<	<	X
ejpam-4765	243	66	γ	γ	X
ejpam-4765	243	67	−	−	PROPN
ejpam-4765	243	68	1	1	NUM
ejpam-4765	243	69	2	2	NUM
ejpam-4765	243	70	entails	entail	VERB
ejpam-4765	243	71	0	0	NUM
ejpam-4765	243	72	≤	≤	NUM
ejpam-4765	243	73	s	s	PART
ejpam-4765	243	74	(	(	PUNCT
ejpam-4765	243	75	∫	∫	PROPN
ejpam-4765	243	76	1	1	NUM
ejpam-4765	243	77	s	s	PART
ejpam-4765	243	78	td(q(1	td(q(1	NOUN
ejpam-4765	243	79	−	−	PROPN
ejpam-4765	243	80	t	t	PROPN
ejpam-4765	243	81	)	)	PUNCT
ejpam-4765	243	82	)	)	PUNCT
ejpam-4765	244	1	sq(1	sq(1	ADP
ejpam-4765	244	2	−	−	PROPN
ejpam-4765	244	3	s	s	NOUN
ejpam-4765	244	4	)	)	PUNCT
ejpam-4765	244	5	)	)	PUNCT
ejpam-4765	244	6	2	2	X
ejpam-4765	244	7	=	=	SYM
ejpam-4765	244	8	s	s	X
ejpam-4765	244	9	(	(	PUNCT
ejpam-4765	244	10	1	1	NUM
ejpam-4765	244	11	+	+	NUM
ejpam-4765	244	12	∫	∫	PROPN
ejpam-4765	244	13	1	1	NUM
ejpam-4765	244	14	s	s	PROPN
ejpam-4765	244	15	t−γℓq(t)dt	t−γℓq(t)dt	PRON
ejpam-4765	244	16	s1−γℓq(s	s1−γℓq(s	NOUN
ejpam-4765	244	17	)	)	PUNCT
ejpam-4765	244	18	)	)	PUNCT
ejpam-4765	244	19	2	2	NUM
ejpam-4765	244	20	≤	≤	NOUN
ejpam-4765	244	21	s	s	PART
ejpam-4765	244	22	(	(	PUNCT
ejpam-4765	244	23	1	1	NUM
ejpam-4765	244	24	+	+	NUM
ejpam-4765	244	25	csγ−1−ε	csγ−1−ε	NOUN
ejpam-4765	244	26	)	)	PUNCT
ejpam-4765	244	27	2	2	NUM
ejpam-4765	245	1	=	=	SYM
ejpam-4765	245	2	o	o	X
ejpam-4765	245	3	(	(	PUNCT
ejpam-4765	245	4	s1	s1	NOUN
ejpam-4765	245	5	+	+	NOUN
ejpam-4765	245	6	2[γ−1−ε	2[γ−1−ε	NUM
ejpam-4765	245	7	]	]	PUNCT
ejpam-4765	245	8	)	)	PUNCT
ejpam-4765	245	9	=	=	SYM
ejpam-4765	245	10	o(1	o(1	PROPN
ejpam-4765	245	11	)	)	PUNCT
ejpam-4765	245	12	where	where	SCONJ
ejpam-4765	245	13	c	c	NOUN
ejpam-4765	245	14	is	be	AUX
ejpam-4765	245	15	a	a	DET
ejpam-4765	245	16	suitable	suitable	ADJ
ejpam-4765	245	17	constant	constant	ADJ
ejpam-4765	245	18	.	.	PUNCT
ejpam-4765	246	1	consequently	consequently	ADV
ejpam-4765	246	2	,	,	PUNCT
ejpam-4765	246	3	qn	qn	INTJ
ejpam-4765	246	4	,	,	PUNCT
ejpam-4765	246	5	α,2	α,2	NUM
ejpam-4765	246	6	−→	−→	NOUN
ejpam-4765	246	7	0	0	NUM
ejpam-4765	246	8	.	.	PUNCT
ejpam-4765	247	1	the	the	DET
ejpam-4765	247	2	two	two	NUM
ejpam-4765	247	3	others	other	NOUN
ejpam-4765	247	4	terms	term	NOUN
ejpam-4765	247	5	,	,	PUNCT
ejpam-4765	247	6	qn	qn	INTJ
ejpam-4765	247	7	,	,	PUNCT
ejpam-4765	247	8	α,3	α,3	NUM
ejpam-4765	247	9	and	and	CCONJ
ejpam-4765	247	10	qn	qn	INTJ
ejpam-4765	247	11	,	,	PUNCT
ejpam-4765	247	12	α,4	α,4	NUM
ejpam-4765	247	13	,	,	PUNCT
ejpam-4765	247	14	can	can	AUX
ejpam-4765	247	15	be	be	AUX
ejpam-4765	247	16	treated	treat	VERB
ejpam-4765	247	17	similarly	similarly	ADV
ejpam-4765	247	18	,	,	PUNCT
ejpam-4765	247	19	leading	lead	VERB
ejpam-4765	247	20	to	to	ADP
ejpam-4765	247	21	qn	qn	PROPN
ejpam-4765	247	22	,	,	PUNCT
ejpam-4765	247	23	α,3	α,3	NUM
ejpam-4765	247	24	=	=	SYM
ejpam-4765	247	25	qn	qn	PROPN
ejpam-4765	247	26	,	,	PUNCT
ejpam-4765	247	27	α,1	α,1	NOUN
ejpam-4765	247	28	−→	−→	PROPN
ejpam-4765	247	29	γ	γ	X
ejpam-4765	247	30	(	(	PUNCT
ejpam-4765	247	31	2γ	2γ	NOUN
ejpam-4765	247	32	−	−	PROPN
ejpam-4765	247	33	1)l2(q	1)l2(q	NUM
ejpam-4765	247	34	,	,	PUNCT
ejpam-4765	247	35	α	α	NOUN
ejpam-4765	247	36	)	)	PUNCT
ejpam-4765	247	37	m.	m.	NOUN
ejpam-4765	248	1	kebe	kebe	PROPN
ejpam-4765	248	2	et	et	PROPN
ejpam-4765	248	3	al	al	PROPN
ejpam-4765	248	4	.	.	PUNCT
ejpam-4765	248	5	/	/	SYM
ejpam-4765	248	6	eur	eur	PROPN
ejpam-4765	248	7	.	.	PUNCT
ejpam-4765	249	1	j.	j.	PROPN
ejpam-4765	249	2	pure	pure	PROPN
ejpam-4765	249	3	appl	appl	PROPN
ejpam-4765	249	4	.	.	PROPN
ejpam-4765	249	5	math	math	PROPN
ejpam-4765	249	6	,	,	PUNCT
ejpam-4765	249	7	16	16	NUM
ejpam-4765	249	8	(	(	PUNCT
ejpam-4765	249	9	4	4	NUM
ejpam-4765	249	10	)	)	PUNCT
ejpam-4765	249	11	(	(	PUNCT
ejpam-4765	249	12	2023	2023	NUM
ejpam-4765	249	13	)	)	PUNCT
ejpam-4765	249	14	,	,	PUNCT
ejpam-4765	249	15	2509	2509	NUM
ejpam-4765	249	16	-	-	SYM
ejpam-4765	249	17	2543	2543	NUM
ejpam-4765	249	18	2520	2520	NUM
ejpam-4765	249	19	qn	qn	NOUN
ejpam-4765	249	20	,	,	PUNCT
ejpam-4765	249	21	α,4	α,4	PROPN
ejpam-4765	249	22	=	=	SYM
ejpam-4765	249	23	qn	qn	INTJ
ejpam-4765	249	24	,	,	PUNCT
ejpam-4765	249	25	α,2	α,2	NUM
ejpam-4765	249	26	−→	−→	NOUN
ejpam-4765	249	27	0	0	NUM
ejpam-4765	249	28	.	.	PUNCT
ejpam-4765	250	1	finally	finally	ADV
ejpam-4765	250	2	,	,	PUNCT
ejpam-4765	250	3	ew	ew	PROPN
ejpam-4765	250	4	2	2	NUM
ejpam-4765	250	5	n	n	NUM
ejpam-4765	250	6	,	,	PUNCT
ejpam-4765	250	7	α,1	α,1	NOUN
ejpam-4765	250	8	−→	−→	NOUN
ejpam-4765	250	9	2γ	2γ	NOUN
ejpam-4765	250	10	(	(	PUNCT
ejpam-4765	250	11	2γ	2γ	NUM
ejpam-4765	250	12	−	−	PROPN
ejpam-4765	250	13	1)l2(q	1)l2(q	NUM
ejpam-4765	250	14	,	,	PUNCT
ejpam-4765	250	15	α	α	NOUN
ejpam-4765	250	16	)	)	PUNCT
ejpam-4765	250	17	,	,	PUNCT
ejpam-4765	250	18	and	and	CCONJ
ejpam-4765	250	19	direct	direct	ADJ
ejpam-4765	250	20	computations	computation	NOUN
ejpam-4765	250	21	now	now	ADV
ejpam-4765	250	22	lead	lead	VERB
ejpam-4765	250	23	to	to	ADP
ejpam-4765	250	24	e(w	e(w	PROPN
ejpam-4765	250	25	2	2	NUM
ejpam-4765	250	26	n	n	CCONJ
ejpam-4765	250	27	,	,	PUNCT
ejpam-4765	250	28	α,2	α,2	NUM
ejpam-4765	250	29	)	)	PUNCT
ejpam-4765	250	30	−→	−→	NOUN
ejpam-4765	250	31	γ2	γ2	NOUN
ejpam-4765	250	32	(	(	PUNCT
ejpam-4765	250	33	1	1	NUM
ejpam-4765	250	34	−	−	PROPN
ejpam-4765	250	35	γ)2	γ)2	NOUN
ejpam-4765	250	36	l2(q	l2(q	PROPN
ejpam-4765	250	37	,	,	PUNCT
ejpam-4765	250	38	α	α	NOUN
ejpam-4765	250	39	)	)	PUNCT
ejpam-4765	250	40	ew	ew	PROPN
ejpam-4765	250	41	2	2	NUM
ejpam-4765	250	42	n	n	NUM
ejpam-4765	250	43	,	,	PUNCT
ejpam-4765	250	44	α,3	α,3	NUM
ejpam-4765	251	1	−→	−→	NOUN
ejpam-4765	251	2	γ2	γ2	NOUN
ejpam-4765	251	3	(	(	PUNCT
ejpam-4765	251	4	1	1	NUM
ejpam-4765	251	5	−	−	NOUN
ejpam-4765	251	6	γ)4	γ)4	NOUN
ejpam-4765	251	7	l2q	l2q	VERB
ejpam-4765	251	8	,	,	PUNCT
ejpam-4765	251	9	α	α	NUM
ejpam-4765	251	10	)	)	PUNCT
ejpam-4765	251	11	∫	∫	PROPN
ejpam-4765	251	12	1	1	NUM
ejpam-4765	251	13	0	0	NUM
ejpam-4765	251	14	k2(s)ds	k2(s)ds	NOUN
ejpam-4765	251	15	by	by	ADP
ejpam-4765	251	16	corollary	corollary	ADJ
ejpam-4765	251	17	1	1	NUM
ejpam-4765	251	18	in	in	ADP
ejpam-4765	251	19	[	[	PUNCT
ejpam-4765	251	20	13	13	NUM
ejpam-4765	251	21	]	]	SYM
ejpam-4765	251	22	e(wn	e(wn	NOUN
ejpam-4765	251	23	,	,	PUNCT
ejpam-4765	251	24	α,1wn	α,1wn	NOUN
ejpam-4765	251	25	,	,	PUNCT
ejpam-4765	251	26	α,2	α,2	NUM
ejpam-4765	251	27	)	)	PUNCT
ejpam-4765	251	28	−→	−→	NOUN
ejpam-4765	251	29	γ	γ	X
ejpam-4765	251	30	(	(	PUNCT
ejpam-4765	251	31	1	1	NUM
ejpam-4765	251	32	−	−	NOUN
ejpam-4765	251	33	γ)l2(q	γ)l2(q	PROPN
ejpam-4765	251	34	,	,	PUNCT
ejpam-4765	251	35	α	α	NOUN
ejpam-4765	251	36	)	)	PUNCT
ejpam-4765	251	37	by	by	ADP
ejpam-4765	251	38	(	(	PUNCT
ejpam-4765	251	39	23	23	NUM
ejpam-4765	251	40	)	)	PUNCT
ejpam-4765	251	41	,	,	PUNCT
ejpam-4765	251	42	e(wn	e(wn	NOUN
ejpam-4765	251	43	,	,	PUNCT
ejpam-4765	251	44	α,1wn	α,1wn	NOUN
ejpam-4765	251	45	,	,	PUNCT
ejpam-4765	251	46	α,3	α,3	NUM
ejpam-4765	251	47	)	)	PUNCT
ejpam-4765	251	48	=	=	SYM
ejpam-4765	251	49	0	0	NUM
ejpam-4765	251	50	and	and	CCONJ
ejpam-4765	251	51	e(wn	e(wn	NOUN
ejpam-4765	251	52	,	,	PUNCT
ejpam-4765	251	53	α,2wn	α,2wn	NUM
ejpam-4765	251	54	,	,	PUNCT
ejpam-4765	251	55	α,3	α,3	NUM
ejpam-4765	251	56	)	)	PUNCT
ejpam-4765	252	1	=	=	SYM
ejpam-4765	252	2	0	0	X
ejpam-4765	252	3	.	.	X
ejpam-4765	253	1	combining	combine	VERB
ejpam-4765	253	2	all	all	DET
ejpam-4765	253	3	these	these	DET
ejpam-4765	253	4	results	result	NOUN
ejpam-4765	253	5	,	,	PUNCT
ejpam-4765	253	6	theorem	theorem	VERB
ejpam-4765	253	7	1	1	NUM
ejpam-4765	253	8	follows	follow	VERB
ejpam-4765	253	9	.	.	PUNCT
ejpam-4765	254	1	proof	proof	NOUN
ejpam-4765	254	2	of	of	ADP
ejpam-4765	254	3	lemma	lemma	PROPN
ejpam-4765	254	4	1	1	NUM
ejpam-4765	254	5	.	.	PUNCT
ejpam-4765	255	1	let	let	VERB
ejpam-4765	255	2	t	t	PROPN
ejpam-4765	255	3	∈	∈	PROPN
ejpam-4765	255	4	|0	|0	NUM
ejpam-4765	255	5	,	,	PUNCT
ejpam-4765	255	6	1	1	NUM
ejpam-4765	255	7	−	−	PROPN
ejpam-4765	255	8	k	k	NOUN
ejpam-4765	255	9	/	/	SYM
ejpam-4765	255	10	n	n	CCONJ
ejpam-4765	255	11	)	)	PUNCT
ejpam-4765	255	12	,	,	PUNCT
ejpam-4765	255	13	we	we	PRON
ejpam-4765	255	14	have	have	VERB
ejpam-4765	255	15	:	:	PUNCT
ejpam-4765	255	16	√	√	PROPN
ejpam-4765	255	17	n	n	PRON
ejpam-4765	255	18	(	(	PUNCT
ejpam-4765	255	19	un	un	PROPN
ejpam-4765	255	20	,	,	PUNCT
ejpam-4765	255	21	k,1(qn	k,1(qn	PROPN
ejpam-4765	255	22	,	,	PUNCT
ejpam-4765	255	23	t	t	PROPN
ejpam-4765	255	24	)	)	PUNCT
ejpam-4765	256	1	−	−	PROPN
ejpam-4765	256	2	un	un	PROPN
ejpam-4765	256	3	,	,	PUNCT
ejpam-4765	256	4	k,1(q	k,1(q	PROPN
ejpam-4765	256	5	,	,	PUNCT
ejpam-4765	256	6	t	t	PROPN
ejpam-4765	256	7	)	)	PUNCT
ejpam-4765	256	8	)	)	PUNCT
ejpam-4765	257	1	(	(	PUNCT
ejpam-4765	257	2	k	k	X
ejpam-4765	257	3	/	/	SYM
ejpam-4765	257	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	257	5	,	,	PUNCT
ejpam-4765	257	6	n	n	NOUN
ejpam-4765	257	7	=	=	SYM
ejpam-4765	257	8	∫	∫	PROPN
ejpam-4765	257	9	1−k	1−k	NUM
ejpam-4765	257	10	/	/	SYM
ejpam-4765	257	11	n	n	PROPN
ejpam-4765	257	12	t	t	NOUN
ejpam-4765	257	13	√	√	PROPN
ejpam-4765	257	14	n	n	PROPN
ejpam-4765	257	15	(	(	PUNCT
ejpam-4765	257	16	qn(s	qn(s	NOUN
ejpam-4765	257	17	)	)	PUNCT
ejpam-4765	257	18	−q(s	−q(s	NOUN
ejpam-4765	257	19	)	)	PUNCT
ejpam-4765	257	20	)	)	PUNCT
ejpam-4765	258	1	ds	ds	INTJ
ejpam-4765	258	2	(	(	PUNCT
ejpam-4765	258	3	k	k	NOUN
ejpam-4765	258	4	/	/	SYM
ejpam-4765	258	5	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	258	6	,	,	PUNCT
ejpam-4765	258	7	n	n	NOUN
ejpam-4765	258	8	.	.	PUNCT
ejpam-4765	259	1	since	since	SCONJ
ejpam-4765	259	2	q(1	q(1	PROPN
ejpam-4765	259	3	−	−	PROPN
ejpam-4765	259	4	·	·	PUNCT
ejpam-4765	259	5	)	)	PUNCT
ejpam-4765	259	6	is	be	AUX
ejpam-4765	259	7	a	a	DET
ejpam-4765	259	8	regularly	regularly	ADV
ejpam-4765	259	9	varying	vary	VERB
ejpam-4765	259	10	function	function	NOUN
ejpam-4765	259	11	at	at	ADP
ejpam-4765	259	12	zero	zero	NUM
ejpam-4765	259	13	with	with	ADP
ejpam-4765	259	14	index	index	NOUN
ejpam-4765	259	15	−γ	−γ	NOUN
ejpam-4765	259	16	,	,	PUNCT
ejpam-4765	259	17	then	then	ADV
ejpam-4765	259	18	from	from	ADP
ejpam-4765	259	19	theorem	theorem	NOUN
ejpam-4765	259	20	2.4.1	2.4.1	NUM
ejpam-4765	259	21	in	in	ADP
ejpam-4765	259	22	[	[	X
ejpam-4765	259	23	10	10	NUM
ejpam-4765	259	24	]	]	PUNCT
ejpam-4765	259	25	,	,	PUNCT
ejpam-4765	259	26	xn−k	xn−k	PROPN
ejpam-4765	259	27	,	,	PUNCT
ejpam-4765	259	28	n	n	PROPN
ejpam-4765	259	29	=	=	SYM
ejpam-4765	259	30	qn(1	qn(1	PROPN
ejpam-4765	259	31	−	−	PROPN
ejpam-4765	259	32	k	k	NOUN
ejpam-4765	259	33	/	/	SYM
ejpam-4765	259	34	n	n	CCONJ
ejpam-4765	259	35	)	)	PUNCT
ejpam-4765	259	36	=	=	SYM
ejpam-4765	260	1	q(1	q(1	NOUN
ejpam-4765	260	2	−	−	PROPN
ejpam-4765	261	1	k	k	NOUN
ejpam-4765	261	2	/	/	SYM
ejpam-4765	261	3	n)(1	n)(1	NOUN
ejpam-4765	261	4	+	+	CCONJ
ejpam-4765	261	5	op(1	op(1	NOUN
ejpam-4765	261	6	)	)	PUNCT
ejpam-4765	261	7	)	)	PUNCT
ejpam-4765	261	8	,	,	PUNCT
ejpam-4765	261	9	as	as	SCONJ
ejpam-4765	261	10	n	n	PROPN
ejpam-4765	261	11	→	→	SYM
ejpam-4765	261	12	∞.	∞.	PROPN
ejpam-4765	261	13	using	use	VERB
ejpam-4765	261	14	the	the	DET
ejpam-4765	261	15	approach	approach	NOUN
ejpam-4765	261	16	in	in	ADP
ejpam-4765	261	17	(	(	PUNCT
ejpam-4765	261	18	17	17	NUM
ejpam-4765	261	19	)	)	PUNCT
ejpam-4765	261	20	and	and	CCONJ
ejpam-4765	261	21	the	the	DET
ejpam-4765	261	22	vervaat	vervaat	NOUN
ejpam-4765	261	23	process	process	NOUN
ejpam-4765	261	24	(	(	PUNCT
ejpam-4765	261	25	see	see	VERB
ejpam-4765	261	26	[	[	X
ejpam-4765	261	27	45	45	NUM
ejpam-4765	261	28	]	]	NUM
ejpam-4765	261	29	)	)	PUNCT
ejpam-4765	261	30	,	,	PUNCT
ejpam-4765	262	1	[	[	X
ejpam-4765	262	2	34	34	NUM
ejpam-4765	262	3	]	]	PUNCT
ejpam-4765	262	4	showed	show	VERB
ejpam-4765	262	5	in	in	ADP
ejpam-4765	262	6	statement	statement	NOUN
ejpam-4765	262	7	4.3	4.3	NUM
ejpam-4765	262	8	,	,	PUNCT
ejpam-4765	262	9	p.	p.	NOUN
ejpam-4765	262	10	8	8	NUM
ejpam-4765	262	11	,	,	PUNCT
ejpam-4765	262	12	for	for	ADP
ejpam-4765	262	13	all	all	DET
ejpam-4765	262	14	t	t	NOUN
ejpam-4765	262	15	∈	∈	PROPN
ejpam-4765	262	16	(	(	PUNCT
ejpam-4765	262	17	0	0	NUM
ejpam-4765	262	18	;	;	PUNCT
ejpam-4765	262	19	1	1	NUM
ejpam-4765	262	20	)	)	PUNCT
ejpam-4765	262	21	,	,	PUNCT
ejpam-4765	262	22	that∫	that∫	NOUN
ejpam-4765	262	23	1−k	1−k	NUM
ejpam-4765	262	24	/	/	SYM
ejpam-4765	262	25	n	n	PROPN
ejpam-4765	262	26	t	t	NOUN
ejpam-4765	262	27	√	√	NUM
ejpam-4765	262	28	n(qn(s	n(qn(s	NOUN
ejpam-4765	262	29	)	)	PUNCT
ejpam-4765	262	30	−q(s))ds	−q(s))ds	NOUN
ejpam-4765	262	31	(	(	PUNCT
ejpam-4765	262	32	k	k	NOUN
ejpam-4765	262	33	/	/	SYM
ejpam-4765	262	34	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	262	35	,	,	PUNCT
ejpam-4765	263	1	n	n	NOUN
ejpam-4765	263	2	d	d	NOUN
ejpam-4765	263	3	=	=	PUNCT
ejpam-4765	263	4	−	−	PROPN
ejpam-4765	263	5	∫	∫	PROPN
ejpam-4765	263	6	1−k	1−k	NUM
ejpam-4765	263	7	/	/	SYM
ejpam-4765	263	8	n	n	CCONJ
ejpam-4765	263	9	0	0	NUM
ejpam-4765	263	10	bn(s)dq(s	bn(s)dq(s	NUM
ejpam-4765	263	11	)	)	PUNCT
ejpam-4765	263	12	(	(	PUNCT
ejpam-4765	263	13	k	k	X
ejpam-4765	263	14	/	/	SYM
ejpam-4765	263	15	n)1/2q(1	n)1/2q(1	NOUN
ejpam-4765	263	16	−	−	PROPN
ejpam-4765	263	17	k	k	NOUN
ejpam-4765	263	18	/	/	SYM
ejpam-4765	263	19	n	n	CCONJ
ejpam-4765	263	20	)	)	PUNCT
ejpam-4765	263	21	+	+	CCONJ
ejpam-4765	263	22	op(1	op(1	NOUN
ejpam-4765	263	23	)	)	PUNCT
ejpam-4765	263	24	.	.	PUNCT
ejpam-4765	264	1	(	(	PUNCT
ejpam-4765	264	2	24	24	NUM
ejpam-4765	264	3	)	)	PUNCT
ejpam-4765	264	4	also	also	ADV
ejpam-4765	264	5	note	note	VERB
ejpam-4765	264	6	that	that	SCONJ
ejpam-4765	264	7	this	this	DET
ejpam-4765	264	8	result	result	NOUN
ejpam-4765	264	9	in	in	ADP
ejpam-4765	264	10	(	(	PUNCT
ejpam-4765	264	11	24	24	NUM
ejpam-4765	264	12	)	)	PUNCT
ejpam-4765	265	1	[	[	X
ejpam-4765	265	2	when	when	SCONJ
ejpam-4765	265	3	t	t	NOUN
ejpam-4765	265	4	=	=	SYM
ejpam-4765	265	5	0	0	X
ejpam-4765	265	6	]	]	PUNCT
ejpam-4765	265	7	is	be	AUX
ejpam-4765	265	8	equivalent	equivalent	ADJ
ejpam-4765	265	9	to	to	ADP
ejpam-4765	265	10	that	that	PRON
ejpam-4765	265	11	of	of	ADP
ejpam-4765	265	12	[	[	X
ejpam-4765	265	13	37	37	NUM
ejpam-4765	265	14	]	]	PUNCT
ejpam-4765	265	15	.	.	PUNCT
ejpam-4765	266	1	more	more	ADV
ejpam-4765	266	2	precisely	precisely	ADV
ejpam-4765	266	3	,	,	PUNCT
ejpam-4765	266	4	we	we	PRON
ejpam-4765	266	5	have	have	VERB
ejpam-4765	266	6	∫	∫	PROPN
ejpam-4765	266	7	1−k	1−k	NUM
ejpam-4765	266	8	/	/	SYM
ejpam-4765	266	9	n	n	NOUN
ejpam-4765	266	10	0	0	NUM
ejpam-4765	266	11	√	√	NUM
ejpam-4765	266	12	n(qn(s	n(qn(s	NOUN
ejpam-4765	266	13	)	)	PUNCT
ejpam-4765	266	14	−q(s))ds	−q(s))ds	NOUN
ejpam-4765	266	15	(	(	PUNCT
ejpam-4765	266	16	k	k	NOUN
ejpam-4765	266	17	/	/	SYM
ejpam-4765	266	18	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	266	19	,	,	PUNCT
ejpam-4765	266	20	n	n	NOUN
ejpam-4765	266	21	d	d	NOUN
ejpam-4765	266	22	=	=	PUNCT
ejpam-4765	267	1	−	−	PROPN
ejpam-4765	267	2	∫	∫	PROPN
ejpam-4765	267	3	1−k	1−k	NUM
ejpam-4765	267	4	/	/	SYM
ejpam-4765	267	5	n	n	CCONJ
ejpam-4765	267	6	0	0	NUM
ejpam-4765	267	7	bn(s)dq(s	bn(s)dq(s	NUM
ejpam-4765	267	8	)	)	PUNCT
ejpam-4765	267	9	(	(	PUNCT
ejpam-4765	267	10	k	k	X
ejpam-4765	267	11	/	/	SYM
ejpam-4765	267	12	n)1/2q(1	n)1/2q(1	NOUN
ejpam-4765	267	13	−	−	PROPN
ejpam-4765	267	14	k	k	NOUN
ejpam-4765	267	15	/	/	SYM
ejpam-4765	267	16	n	n	CCONJ
ejpam-4765	267	17	)	)	PUNCT
ejpam-4765	267	18	+	+	CCONJ
ejpam-4765	267	19	op(1	op(1	NOUN
ejpam-4765	267	20	)	)	PUNCT
ejpam-4765	267	21	.	.	PUNCT
ejpam-4765	268	1	(	(	PUNCT
ejpam-4765	268	2	25	25	NUM
ejpam-4765	268	3	)	)	PUNCT
ejpam-4765	268	4	this	this	PRON
ejpam-4765	268	5	concludes	conclude	VERB
ejpam-4765	268	6	that	that	SCONJ
ejpam-4765	268	7	for	for	ADP
ejpam-4765	268	8	0	0	NUM
ejpam-4765	268	9	≤	≤	NOUN
ejpam-4765	268	10	t	t	NOUN
ejpam-4765	268	11	<	<	X
ejpam-4765	268	12	1	1	NUM
ejpam-4765	268	13	−	−	PROPN
ejpam-4765	268	14	k	k	NOUN
ejpam-4765	268	15	/	/	SYM
ejpam-4765	268	16	n	n	CCONJ
ejpam-4765	268	17	,	,	PUNCT
ejpam-4765	268	18	we	we	PRON
ejpam-4765	268	19	have	have	AUX
ejpam-4765	268	20	,	,	PUNCT
ejpam-4765	268	21	as	as	ADP
ejpam-4765	268	22	n	n	X
ejpam-4765	268	23	→	→	SYM
ejpam-4765	268	24	∞	∞	NUM
ejpam-4765	268	25	:	:	PUNCT
ejpam-4765	268	26	√	√	PROPN
ejpam-4765	268	27	n	n	CCONJ
ejpam-4765	268	28	(	(	PUNCT
ejpam-4765	268	29	un	un	PROPN
ejpam-4765	268	30	,	,	PUNCT
ejpam-4765	268	31	k,1(qn	k,1(qn	PROPN
ejpam-4765	268	32	,	,	PUNCT
ejpam-4765	268	33	t	t	PROPN
ejpam-4765	268	34	)	)	PUNCT
ejpam-4765	268	35	−	−	PROPN
ejpam-4765	269	1	un	un	PROPN
ejpam-4765	269	2	,	,	PUNCT
ejpam-4765	269	3	k,1(q	k,1(q	PROPN
ejpam-4765	269	4	,	,	PUNCT
ejpam-4765	269	5	t	t	PROPN
ejpam-4765	269	6	)	)	PUNCT
ejpam-4765	269	7	)	)	PUNCT
ejpam-4765	270	1	(	(	PUNCT
ejpam-4765	270	2	k	k	X
ejpam-4765	270	3	/	/	SYM
ejpam-4765	270	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	270	5	,	,	PUNCT
ejpam-4765	270	6	n	n	NOUN
ejpam-4765	270	7	d	d	NOUN
ejpam-4765	270	8	=	=	PUNCT
ejpam-4765	271	1	−	−	PROPN
ejpam-4765	271	2	∫	∫	PROPN
ejpam-4765	271	3	1−k	1−k	NUM
ejpam-4765	271	4	/	/	SYM
ejpam-4765	271	5	n	n	CCONJ
ejpam-4765	271	6	0	0	NUM
ejpam-4765	271	7	bn(s)dq(s	bn(s)dq(s	NUM
ejpam-4765	271	8	)	)	PUNCT
ejpam-4765	271	9	(	(	PUNCT
ejpam-4765	271	10	k	k	X
ejpam-4765	271	11	/	/	SYM
ejpam-4765	271	12	n)1/2q(1	n)1/2q(1	NOUN
ejpam-4765	271	13	−	−	PROPN
ejpam-4765	271	14	k	k	NOUN
ejpam-4765	271	15	/	/	SYM
ejpam-4765	271	16	n	n	CCONJ
ejpam-4765	271	17	)	)	PUNCT
ejpam-4765	271	18	+	+	CCONJ
ejpam-4765	271	19	op(1	op(1	NOUN
ejpam-4765	271	20	)	)	PUNCT
ejpam-4765	271	21	.	.	PUNCT
ejpam-4765	272	1	(	(	PUNCT
ejpam-4765	272	2	26	26	NUM
ejpam-4765	272	3	)	)	PUNCT
ejpam-4765	272	4	next	next	ADV
ejpam-4765	272	5	,	,	PUNCT
ejpam-4765	272	6	we	we	PRON
ejpam-4765	272	7	remark	remark	VERB
ejpam-4765	272	8	also	also	ADV
ejpam-4765	272	9	that	that	SCONJ
ejpam-4765	272	10	,	,	PUNCT
ejpam-4765	272	11	l(q	l(q	PROPN
ejpam-4765	272	12	,	,	PUNCT
ejpam-4765	272	13	α	α	NOUN
ejpam-4765	272	14	)	)	PUNCT
ejpam-4765	272	15	:	:	PUNCT
ejpam-4765	273	1	=	=	SYM
ejpam-4765	273	2	un	un	PROPN
ejpam-4765	273	3	,	,	PUNCT
ejpam-4765	273	4	k,1(q	k,1(q	NOUN
ejpam-4765	273	5	,	,	PUNCT
ejpam-4765	273	6	0)−un	0)−un	NUM
ejpam-4765	273	7	,	,	PUNCT
ejpam-4765	273	8	k,1(q	k,1(q	NOUN
ejpam-4765	273	9	,	,	PUNCT
ejpam-4765	273	10	α	α	NOUN
ejpam-4765	273	11	)	)	PUNCT
ejpam-4765	273	12	and	and	CCONJ
ejpam-4765	273	13	ln(α	ln(α	NUM
ejpam-4765	273	14	)	)	PUNCT
ejpam-4765	273	15	:	:	PUNCT
ejpam-4765	274	1	=	=	SYM
ejpam-4765	274	2	un	un	PROPN
ejpam-4765	274	3	,	,	PUNCT
ejpam-4765	274	4	k,1(qn	k,1(qn	PROPN
ejpam-4765	274	5	,	,	PUNCT
ejpam-4765	274	6	0)−	0)−	NUM
ejpam-4765	274	7	un	un	PROPN
ejpam-4765	274	8	,	,	PUNCT
ejpam-4765	274	9	k,1(q	k,1(q	NOUN
ejpam-4765	274	10	,	,	PUNCT
ejpam-4765	274	11	α	α	NOUN
ejpam-4765	274	12	)	)	PUNCT
ejpam-4765	274	13	.	.	PUNCT
ejpam-4765	275	1	this	this	PRON
ejpam-4765	275	2	leads	lead	VERB
ejpam-4765	275	3	to	to	ADP
ejpam-4765	275	4	:	:	PUNCT
ejpam-4765	275	5	√	√	PROPN
ejpam-4765	275	6	n	n	PRON
ejpam-4765	275	7	(	(	PUNCT
ejpam-4765	275	8	ln(α	ln(α	PROPN
ejpam-4765	275	9	)	)	PUNCT
ejpam-4765	275	10	−	−	PROPN
ejpam-4765	276	1	l(q	l(q	PROPN
ejpam-4765	276	2	,	,	PUNCT
ejpam-4765	276	3	α	α	NOUN
ejpam-4765	276	4	)	)	PUNCT
ejpam-4765	276	5	)	)	PUNCT
ejpam-4765	277	1	(	(	PUNCT
ejpam-4765	277	2	k	k	X
ejpam-4765	277	3	/	/	SYM
ejpam-4765	277	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	277	5	,	,	PUNCT
ejpam-4765	277	6	n	n	NOUN
ejpam-4765	277	7	=	=	SYM
ejpam-4765	277	8	√	√	PROPN
ejpam-4765	277	9	n	n	PROPN
ejpam-4765	277	10	(	(	PUNCT
ejpam-4765	277	11	un	un	PROPN
ejpam-4765	277	12	,	,	PUNCT
ejpam-4765	277	13	k,1(qn	k,1(qn	PROPN
ejpam-4765	277	14	,	,	PUNCT
ejpam-4765	277	15	0	0	NUM
ejpam-4765	277	16	)	)	PUNCT
ejpam-4765	278	1	−	−	PRON
ejpam-4765	278	2	un	un	PROPN
ejpam-4765	278	3	,	,	PUNCT
ejpam-4765	278	4	k,1(q	k,1(q	NOUN
ejpam-4765	278	5	,	,	PUNCT
ejpam-4765	278	6	0	0	NUM
ejpam-4765	278	7	)	)	PUNCT
ejpam-4765	278	8	)	)	PUNCT
ejpam-4765	279	1	(	(	PUNCT
ejpam-4765	279	2	k	k	X
ejpam-4765	279	3	/	/	SYM
ejpam-4765	279	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	279	5	,	,	PUNCT
ejpam-4765	279	6	n	n	PRON
ejpam-4765	279	7	m.	m.	NOUN
ejpam-4765	279	8	kebe	kebe	PROPN
ejpam-4765	279	9	et	et	PROPN
ejpam-4765	279	10	al	al	PROPN
ejpam-4765	279	11	.	.	PUNCT
ejpam-4765	279	12	/	/	SYM
ejpam-4765	279	13	eur	eur	PROPN
ejpam-4765	279	14	.	.	PUNCT
ejpam-4765	280	1	j.	j.	PROPN
ejpam-4765	280	2	pure	pure	PROPN
ejpam-4765	280	3	appl	appl	PROPN
ejpam-4765	280	4	.	.	PROPN
ejpam-4765	280	5	math	math	PROPN
ejpam-4765	280	6	,	,	PUNCT
ejpam-4765	280	7	16	16	NUM
ejpam-4765	280	8	(	(	PUNCT
ejpam-4765	280	9	4	4	NUM
ejpam-4765	280	10	)	)	PUNCT
ejpam-4765	280	11	(	(	PUNCT
ejpam-4765	280	12	2023	2023	NUM
ejpam-4765	280	13	)	)	PUNCT
ejpam-4765	280	14	,	,	PUNCT
ejpam-4765	280	15	2509	2509	NUM
ejpam-4765	280	16	-	-	SYM
ejpam-4765	280	17	2543	2543	NUM
ejpam-4765	280	18	2521	2521	NUM
ejpam-4765	280	19	−	−	NOUN
ejpam-4765	280	20	√	√	NUM
ejpam-4765	280	21	n	n	CCONJ
ejpam-4765	280	22	(	(	PUNCT
ejpam-4765	280	23	un	un	PROPN
ejpam-4765	280	24	,	,	PUNCT
ejpam-4765	280	25	k,1(qn	k,1(qn	PROPN
ejpam-4765	280	26	,	,	PUNCT
ejpam-4765	280	27	α	α	NOUN
ejpam-4765	280	28	)	)	PUNCT
ejpam-4765	280	29	−	−	PROPN
ejpam-4765	280	30	un	un	PROPN
ejpam-4765	280	31	,	,	PUNCT
ejpam-4765	280	32	k,1(q	k,1(q	NOUN
ejpam-4765	280	33	,	,	PUNCT
ejpam-4765	280	34	α	α	NOUN
ejpam-4765	280	35	)	)	PUNCT
ejpam-4765	280	36	)	)	PUNCT
ejpam-4765	281	1	(	(	PUNCT
ejpam-4765	281	2	k	k	X
ejpam-4765	281	3	/	/	SYM
ejpam-4765	281	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	281	5	,	,	PUNCT
ejpam-4765	281	6	n	n	NOUN
ejpam-4765	281	7	.	.	PUNCT
ejpam-4765	282	1	from	from	ADP
ejpam-4765	282	2	(	(	PUNCT
ejpam-4765	282	3	26	26	NUM
ejpam-4765	282	4	)	)	PUNCT
ejpam-4765	282	5	,	,	PUNCT
ejpam-4765	282	6	we	we	PRON
ejpam-4765	282	7	get	get	VERB
ejpam-4765	282	8	for	for	ADP
ejpam-4765	282	9	all	all	DET
ejpam-4765	282	10	large	large	ADJ
ejpam-4765	282	11	values	value	NOUN
ejpam-4765	282	12	of	of	ADP
ejpam-4765	282	13	n	n	CCONJ
ejpam-4765	282	14	:	:	PUNCT
ejpam-4765	282	15	√	√	PROPN
ejpam-4765	282	16	n	n	PRON
ejpam-4765	282	17	(	(	PUNCT
ejpam-4765	282	18	ln(α	ln(α	PROPN
ejpam-4765	282	19	)	)	PUNCT
ejpam-4765	282	20	−	−	PROPN
ejpam-4765	283	1	l(q	l(q	PROPN
ejpam-4765	283	2	,	,	PUNCT
ejpam-4765	283	3	α	α	NOUN
ejpam-4765	283	4	)	)	PUNCT
ejpam-4765	283	5	)	)	PUNCT
ejpam-4765	284	1	(	(	PUNCT
ejpam-4765	284	2	k	k	X
ejpam-4765	284	3	/	/	SYM
ejpam-4765	284	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	284	5	,	,	PUNCT
ejpam-4765	284	6	n	n	NOUN
ejpam-4765	284	7	=	=	PUNCT
ejpam-4765	284	8	op(1	op(1	PROPN
ejpam-4765	284	9	)	)	PUNCT
ejpam-4765	284	10	.	.	PUNCT
ejpam-4765	285	1	(	(	PUNCT
ejpam-4765	285	2	27	27	NUM
ejpam-4765	285	3	)	)	PUNCT
ejpam-4765	285	4	the	the	DET
ejpam-4765	285	5	lemma	lemma	PROPN
ejpam-4765	285	6	1	1	NUM
ejpam-4765	285	7	follows	follow	VERB
ejpam-4765	285	8	.	.	PUNCT
ejpam-4765	286	1	proof	proof	NOUN
ejpam-4765	286	2	of	of	ADP
ejpam-4765	286	3	lemma	lemma	PROPN
ejpam-4765	286	4	2	2	NUM
ejpam-4765	286	5	.	.	PUNCT
ejpam-4765	287	1	we	we	PRON
ejpam-4765	287	2	first	first	ADV
ejpam-4765	287	3	have	have	VERB
ejpam-4765	287	4	:	:	PUNCT
ejpam-4765	287	5	un	un	PROPN
ejpam-4765	287	6	,	,	PUNCT
ejpam-4765	287	7	k,1(qn	k,1(qn	PROPN
ejpam-4765	287	8	,	,	PUNCT
ejpam-4765	287	9	β	β	NOUN
ejpam-4765	287	10	)	)	PUNCT
ejpam-4765	287	11	ln(α	ln(α	PROPN
ejpam-4765	287	12	)	)	PUNCT
ejpam-4765	288	1	−	−	PRON
ejpam-4765	288	2	un	un	PROPN
ejpam-4765	288	3	,	,	PUNCT
ejpam-4765	288	4	k,1(q	k,1(q	NOUN
ejpam-4765	288	5	,	,	PUNCT
ejpam-4765	288	6	β	β	NOUN
ejpam-4765	288	7	)	)	PUNCT
ejpam-4765	288	8	l(q	l(q	PROPN
ejpam-4765	288	9	,	,	PUNCT
ejpam-4765	288	10	α	α	X
ejpam-4765	288	11	)	)	PUNCT
ejpam-4765	288	12	=	=	SYM
ejpam-4765	288	13	un	un	PROPN
ejpam-4765	288	14	,	,	PUNCT
ejpam-4765	288	15	k,1(qn	k,1(qn	PROPN
ejpam-4765	288	16	,	,	PUNCT
ejpam-4765	288	17	β	β	NOUN
ejpam-4765	288	18	)	)	PUNCT
ejpam-4765	288	19	ln(α	ln(α	PROPN
ejpam-4765	288	20	)	)	PUNCT
ejpam-4765	288	21	−	−	PRON
ejpam-4765	288	22	un	un	PROPN
ejpam-4765	288	23	,	,	PUNCT
ejpam-4765	288	24	k,1(qn	k,1(qn	PROPN
ejpam-4765	288	25	,	,	PUNCT
ejpam-4765	288	26	β	β	NOUN
ejpam-4765	288	27	)	)	PUNCT
ejpam-4765	288	28	l(q	l(q	PROPN
ejpam-4765	288	29	,	,	PUNCT
ejpam-4765	288	30	α	α	X
ejpam-4765	288	31	)	)	PUNCT
ejpam-4765	288	32	+	+	CCONJ
ejpam-4765	288	33	un	un	PROPN
ejpam-4765	288	34	,	,	PUNCT
ejpam-4765	288	35	k,1(qn	k,1(qn	PROPN
ejpam-4765	288	36	,	,	PUNCT
ejpam-4765	288	37	β	β	NOUN
ejpam-4765	288	38	)	)	PUNCT
ejpam-4765	288	39	l(q	l(q	PROPN
ejpam-4765	288	40	,	,	PUNCT
ejpam-4765	288	41	α	α	NOUN
ejpam-4765	288	42	)	)	PUNCT
ejpam-4765	288	43	−	−	PROPN
ejpam-4765	288	44	un	un	PROPN
ejpam-4765	288	45	,	,	PUNCT
ejpam-4765	288	46	k,1(q	k,1(q	NOUN
ejpam-4765	288	47	,	,	PUNCT
ejpam-4765	288	48	β	β	NOUN
ejpam-4765	288	49	)	)	PUNCT
ejpam-4765	288	50	l(q	l(q	PROPN
ejpam-4765	288	51	,	,	PUNCT
ejpam-4765	288	52	α	α	X
ejpam-4765	288	53	)	)	PUNCT
ejpam-4765	288	54	=	=	SYM
ejpam-4765	288	55	1	1	NUM
ejpam-4765	288	56	l(q	l(q	PROPN
ejpam-4765	288	57	,	,	PUNCT
ejpam-4765	288	58	α	α	X
ejpam-4765	288	59	)	)	PUNCT
ejpam-4765	288	60	(	(	PUNCT
ejpam-4765	288	61	un	un	PROPN
ejpam-4765	288	62	,	,	PUNCT
ejpam-4765	288	63	k,1(qn	k,1(qn	PROPN
ejpam-4765	288	64	,	,	PUNCT
ejpam-4765	288	65	β	β	NOUN
ejpam-4765	288	66	)	)	PUNCT
ejpam-4765	288	67	−	−	PROPN
ejpam-4765	288	68	un	un	PROPN
ejpam-4765	288	69	,	,	PUNCT
ejpam-4765	288	70	k,1(q	k,1(q	NOUN
ejpam-4765	288	71	,	,	PUNCT
ejpam-4765	288	72	β	β	NOUN
ejpam-4765	288	73	)	)	PUNCT
ejpam-4765	288	74	)	)	PUNCT
ejpam-4765	289	1	−	−	PROPN
ejpam-4765	289	2	un	un	PROPN
ejpam-4765	289	3	,	,	PUNCT
ejpam-4765	289	4	k,1(qn	k,1(qn	PROPN
ejpam-4765	289	5	,	,	PUNCT
ejpam-4765	289	6	β	β	NOUN
ejpam-4765	289	7	)	)	PUNCT
ejpam-4765	289	8	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	289	9	,	,	PUNCT
ejpam-4765	289	10	α	α	X
ejpam-4765	289	11	)	)	PUNCT
ejpam-4765	289	12	(	(	PUNCT
ejpam-4765	289	13	ln(α	ln(α	PROPN
ejpam-4765	289	14	)	)	PUNCT
ejpam-4765	290	1	−	−	PROPN
ejpam-4765	290	2	l(q	l(q	PROPN
ejpam-4765	290	3	,	,	PUNCT
ejpam-4765	290	4	α	α	NOUN
ejpam-4765	290	5	)	)	PUNCT
ejpam-4765	290	6	)	)	PUNCT
ejpam-4765	290	7	.	.	PUNCT
ejpam-4765	291	1	this	this	PRON
ejpam-4765	291	2	leads	lead	VERB
ejpam-4765	291	3	to	to	ADP
ejpam-4765	291	4	:	:	PUNCT
ejpam-4765	291	5	√	√	PROPN
ejpam-4765	291	6	n	n	CCONJ
ejpam-4765	291	7	{	{	PUNCT
ejpam-4765	291	8	un	un	PROPN
ejpam-4765	291	9	,	,	PUNCT
ejpam-4765	291	10	k,1(qn	k,1(qn	PROPN
ejpam-4765	291	11	,	,	PUNCT
ejpam-4765	291	12	β	β	NOUN
ejpam-4765	291	13	)	)	PUNCT
ejpam-4765	291	14	ln(α	ln(α	PROPN
ejpam-4765	291	15	)	)	PUNCT
ejpam-4765	292	1	−	−	PRON
ejpam-4765	292	2	un	un	PROPN
ejpam-4765	292	3	,	,	PUNCT
ejpam-4765	292	4	k,1(q	k,1(q	NOUN
ejpam-4765	292	5	,	,	PUNCT
ejpam-4765	292	6	β	β	NOUN
ejpam-4765	292	7	)	)	PUNCT
ejpam-4765	292	8	l(q	l(q	PROPN
ejpam-4765	292	9	,	,	PUNCT
ejpam-4765	292	10	α	α	NOUN
ejpam-4765	292	11	)	)	PUNCT
ejpam-4765	292	12	}	}	PUNCT
ejpam-4765	292	13	(	(	PUNCT
ejpam-4765	292	14	k	k	X
ejpam-4765	292	15	/	/	SYM
ejpam-4765	292	16	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	292	17	,	,	PUNCT
ejpam-4765	292	18	n	n	NOUN
ejpam-4765	292	19	=	=	SYM
ejpam-4765	292	20	1	1	NUM
ejpam-4765	292	21	l(q	l(q	PROPN
ejpam-4765	292	22	,	,	PUNCT
ejpam-4765	292	23	α	α	NOUN
ejpam-4765	292	24	)	)	PUNCT
ejpam-4765	292	25	×	×	NOUN
ejpam-4765	292	26	√	√	PUNCT
ejpam-4765	292	27	n	n	CCONJ
ejpam-4765	292	28	(	(	PUNCT
ejpam-4765	292	29	un	un	PROPN
ejpam-4765	292	30	,	,	PUNCT
ejpam-4765	292	31	k,1(qn	k,1(qn	PROPN
ejpam-4765	292	32	,	,	PUNCT
ejpam-4765	292	33	β	β	NOUN
ejpam-4765	292	34	)	)	PUNCT
ejpam-4765	292	35	−	−	PROPN
ejpam-4765	292	36	un	un	PROPN
ejpam-4765	292	37	,	,	PUNCT
ejpam-4765	292	38	k,1(q	k,1(q	NOUN
ejpam-4765	292	39	,	,	PUNCT
ejpam-4765	292	40	β	β	NOUN
ejpam-4765	292	41	)	)	PUNCT
ejpam-4765	292	42	)	)	PUNCT
ejpam-4765	292	43	(	(	PUNCT
ejpam-4765	292	44	k	k	X
ejpam-4765	292	45	/	/	SYM
ejpam-4765	292	46	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	292	47	,	,	PUNCT
ejpam-4765	292	48	n	n	CCONJ
ejpam-4765	292	49	−	−	PROPN
ejpam-4765	292	50	un	un	PROPN
ejpam-4765	292	51	,	,	PUNCT
ejpam-4765	292	52	k,1(qn	k,1(qn	PROPN
ejpam-4765	292	53	,	,	PUNCT
ejpam-4765	292	54	β	β	NOUN
ejpam-4765	292	55	)	)	PUNCT
ejpam-4765	292	56	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	292	57	,	,	PUNCT
ejpam-4765	292	58	α	α	NOUN
ejpam-4765	292	59	)	)	PUNCT
ejpam-4765	292	60	×	×	NOUN
ejpam-4765	292	61	√	√	PUNCT
ejpam-4765	293	1	n	n	CCONJ
ejpam-4765	293	2	(	(	PUNCT
ejpam-4765	293	3	ln(α	ln(α	PROPN
ejpam-4765	293	4	)	)	PUNCT
ejpam-4765	293	5	−	−	PROPN
ejpam-4765	294	1	l(q	l(q	PROPN
ejpam-4765	294	2	,	,	PUNCT
ejpam-4765	294	3	α	α	NOUN
ejpam-4765	294	4	)	)	PUNCT
ejpam-4765	294	5	)	)	PUNCT
ejpam-4765	295	1	(	(	PUNCT
ejpam-4765	295	2	k	k	X
ejpam-4765	295	3	/	/	SYM
ejpam-4765	295	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	295	5	,	,	PUNCT
ejpam-4765	295	6	n	n	NOUN
ejpam-4765	295	7	.	.	PUNCT
ejpam-4765	296	1	next	next	ADV
ejpam-4765	296	2	,	,	PUNCT
ejpam-4765	296	3	from	from	ADP
ejpam-4765	296	4	(	(	PUNCT
ejpam-4765	296	5	26	26	NUM
ejpam-4765	296	6	)	)	PUNCT
ejpam-4765	296	7	,	,	PUNCT
ejpam-4765	296	8	we	we	PRON
ejpam-4765	296	9	have	have	VERB
ejpam-4765	296	10	for	for	ADP
ejpam-4765	296	11	all	all	DET
ejpam-4765	296	12	large	large	ADJ
ejpam-4765	296	13	values	value	NOUN
ejpam-4765	296	14	of	of	ADP
ejpam-4765	296	15	n	n	CCONJ
ejpam-4765	296	16	,	,	PUNCT
ejpam-4765	296	17	√	√	PROPN
ejpam-4765	296	18	n	n	PRON
ejpam-4765	296	19	(	(	PUNCT
ejpam-4765	296	20	un	un	PROPN
ejpam-4765	296	21	,	,	PUNCT
ejpam-4765	296	22	k,1(qn	k,1(qn	PROPN
ejpam-4765	296	23	,	,	PUNCT
ejpam-4765	296	24	β	β	NOUN
ejpam-4765	296	25	)	)	PUNCT
ejpam-4765	296	26	−	−	PROPN
ejpam-4765	296	27	un	un	PROPN
ejpam-4765	296	28	,	,	PUNCT
ejpam-4765	296	29	k,1(q	k,1(q	NOUN
ejpam-4765	296	30	,	,	PUNCT
ejpam-4765	296	31	β	β	NOUN
ejpam-4765	296	32	)	)	PUNCT
ejpam-4765	296	33	)	)	PUNCT
ejpam-4765	297	1	l(q	l(q	PROPN
ejpam-4765	297	2	,	,	PUNCT
ejpam-4765	297	3	α)(k	α)(k	NOUN
ejpam-4765	297	4	/	/	SYM
ejpam-4765	297	5	n)1/2xn−k	n)1/2xn−k	NOUN
ejpam-4765	297	6	,	,	PUNCT
ejpam-4765	297	7	n	n	PROPN
ejpam-4765	297	8	d	d	NOUN
ejpam-4765	297	9	=	=	SYM
ejpam-4765	297	10	∫	∫	PROPN
ejpam-4765	297	11	1−k	1−k	NUM
ejpam-4765	297	12	/	/	SYM
ejpam-4765	297	13	n	n	CCONJ
ejpam-4765	297	14	0	0	NUM
ejpam-4765	297	15	bn(s)dq(s	bn(s)dq(s	ADJ
ejpam-4765	297	16	)	)	PUNCT
ejpam-4765	297	17	l(q	l(q	PROPN
ejpam-4765	297	18	,	,	PUNCT
ejpam-4765	297	19	α)(k	α)(k	PROPN
ejpam-4765	297	20	/	/	SYM
ejpam-4765	297	21	n)1/2q(1	n)1/2q(1	NOUN
ejpam-4765	297	22	−	−	PROPN
ejpam-4765	297	23	k	k	NOUN
ejpam-4765	297	24	/	/	SYM
ejpam-4765	297	25	n	n	CCONJ
ejpam-4765	297	26	)	)	PUNCT
ejpam-4765	297	27	+	+	CCONJ
ejpam-4765	297	28	op(1	op(1	NOUN
ejpam-4765	297	29	)	)	PUNCT
ejpam-4765	297	30	.	.	PUNCT
ejpam-4765	298	1	(	(	PUNCT
ejpam-4765	298	2	28	28	NUM
ejpam-4765	298	3	)	)	PUNCT
ejpam-4765	298	4	since	since	SCONJ
ejpam-4765	298	5	the	the	DET
ejpam-4765	298	6	right	right	ADJ
ejpam-4765	298	7	term	term	NOUN
ejpam-4765	298	8	in	in	ADP
ejpam-4765	298	9	(	(	PUNCT
ejpam-4765	298	10	28	28	NUM
ejpam-4765	298	11	)	)	PUNCT
ejpam-4765	298	12	is	be	AUX
ejpam-4765	298	13	bounded	bound	VERB
ejpam-4765	298	14	in	in	ADP
ejpam-4765	298	15	probability	probability	NOUN
ejpam-4765	298	16	,	,	PUNCT
ejpam-4765	298	17	we	we	PRON
ejpam-4765	298	18	get	get	VERB
ejpam-4765	298	19	for	for	ADP
ejpam-4765	298	20	all	all	DET
ejpam-4765	298	21	large	large	ADJ
ejpam-4765	298	22	values	value	NOUN
ejpam-4765	298	23	of	of	ADP
ejpam-4765	298	24	n	n	CCONJ
ejpam-4765	298	25	,	,	PUNCT
ejpam-4765	298	26	un	un	PROPN
ejpam-4765	298	27	,	,	PUNCT
ejpam-4765	298	28	k,1(qn	k,1(qn	PROPN
ejpam-4765	298	29	,	,	PUNCT
ejpam-4765	298	30	β	β	NOUN
ejpam-4765	298	31	)	)	PUNCT
ejpam-4765	298	32	=	=	SYM
ejpam-4765	298	33	un	un	PROPN
ejpam-4765	298	34	,	,	PUNCT
ejpam-4765	298	35	k,1(q	k,1(q	NOUN
ejpam-4765	298	36	,	,	PUNCT
ejpam-4765	298	37	β	β	NOUN
ejpam-4765	298	38	)	)	PUNCT
ejpam-4765	298	39	+	+	CCONJ
ejpam-4765	298	40	op(1	op(1	NOUN
ejpam-4765	298	41	)	)	PUNCT
ejpam-4765	298	42	.	.	PUNCT
ejpam-4765	299	1	remarking	remark	VERB
ejpam-4765	299	2	that	that	PRON
ejpam-4765	299	3	un	un	PROPN
ejpam-4765	299	4	,	,	PUNCT
ejpam-4765	299	5	k,1(q	k,1(q	NOUN
ejpam-4765	299	6	,	,	PUNCT
ejpam-4765	299	7	β	β	NOUN
ejpam-4765	299	8	)	)	PUNCT
ejpam-4765	299	9	=	=	SYM
ejpam-4765	300	1	∫	∫	PROPN
ejpam-4765	300	2	1−k	1−k	NUM
ejpam-4765	300	3	/	/	SYM
ejpam-4765	300	4	n	n	PROPN
ejpam-4765	300	5	β	β	PROPN
ejpam-4765	300	6	q(s)ds	q(s)ds	PUNCT
ejpam-4765	300	7	and	and	CCONJ
ejpam-4765	300	8	k	k	NOUN
ejpam-4765	300	9	/	/	SYM
ejpam-4765	300	10	n	n	PROPN
ejpam-4765	300	11	→	→	SYM
ejpam-4765	300	12	0	0	NUM
ejpam-4765	300	13	,	,	PUNCT
ejpam-4765	300	14	as	as	ADP
ejpam-4765	300	15	n	n	PROPN
ejpam-4765	300	16	→	→	SYM
ejpam-4765	300	17	∞	∞	PROPN
ejpam-4765	300	18	,	,	PUNCT
ejpam-4765	300	19	we	we	PRON
ejpam-4765	300	20	have	have	VERB
ejpam-4765	300	21	un	un	PROPN
ejpam-4765	300	22	,	,	PUNCT
ejpam-4765	300	23	k,1(qn	k,1(qn	PROPN
ejpam-4765	300	24	,	,	PUNCT
ejpam-4765	300	25	β	β	X
ejpam-4765	300	26	)	)	PUNCT
ejpam-4765	301	1	=	=	SYM
ejpam-4765	301	2	∫	∫	PROPN
ejpam-4765	301	3	1	1	NUM
ejpam-4765	301	4	β	β	X
ejpam-4765	301	5	q(s)ds	q(s)ds	PUNCT
ejpam-4765	301	6	{	{	PUNCT
ejpam-4765	301	7	1	1	NUM
ejpam-4765	301	8	+	+	CCONJ
ejpam-4765	301	9	op(1	op(1	NOUN
ejpam-4765	301	10	)	)	PUNCT
ejpam-4765	301	11	}	}	PUNCT
ejpam-4765	301	12	.	.	PUNCT
ejpam-4765	302	1	m.	m.	NOUN
ejpam-4765	302	2	kebe	kebe	PROPN
ejpam-4765	302	3	et	et	PROPN
ejpam-4765	302	4	al	al	PROPN
ejpam-4765	302	5	.	.	PUNCT
ejpam-4765	302	6	/	/	SYM
ejpam-4765	302	7	eur	eur	PROPN
ejpam-4765	302	8	.	.	PUNCT
ejpam-4765	303	1	j.	j.	PROPN
ejpam-4765	303	2	pure	pure	PROPN
ejpam-4765	303	3	appl	appl	PROPN
ejpam-4765	303	4	.	.	PROPN
ejpam-4765	303	5	math	math	PROPN
ejpam-4765	303	6	,	,	PUNCT
ejpam-4765	303	7	16	16	NUM
ejpam-4765	303	8	(	(	PUNCT
ejpam-4765	303	9	4	4	NUM
ejpam-4765	303	10	)	)	PUNCT
ejpam-4765	303	11	(	(	PUNCT
ejpam-4765	303	12	2023	2023	NUM
ejpam-4765	303	13	)	)	PUNCT
ejpam-4765	303	14	,	,	PUNCT
ejpam-4765	303	15	2509	2509	NUM
ejpam-4765	303	16	-	-	SYM
ejpam-4765	303	17	2543	2543	NUM
ejpam-4765	303	18	2522	2522	NUM
ejpam-4765	303	19	in	in	ADP
ejpam-4765	303	20	the	the	DET
ejpam-4765	303	21	other	other	ADJ
ejpam-4765	303	22	hand	hand	NOUN
ejpam-4765	303	23	,	,	PUNCT
ejpam-4765	303	24	from	from	ADP
ejpam-4765	303	25	lemma	lemma	PROPN
ejpam-4765	303	26	1	1	NUM
ejpam-4765	303	27	,	,	PUNCT
ejpam-4765	303	28	we	we	PRON
ejpam-4765	303	29	have	have	AUX
ejpam-4765	303	30	ln(α	ln(α	ADV
ejpam-4765	303	31	)	)	PUNCT
ejpam-4765	303	32	=	=	SYM
ejpam-4765	303	33	l(q	l(q	PROPN
ejpam-4765	303	34	,	,	PUNCT
ejpam-4765	303	35	α)+op(1	α)+op(1	NOUN
ejpam-4765	303	36	)	)	PUNCT
ejpam-4765	303	37	,	,	PUNCT
ejpam-4765	303	38	as	as	ADP
ejpam-4765	303	39	n	n	PROPN
ejpam-4765	303	40	→	→	SYM
ejpam-4765	303	41	∞.	∞.	PROPN
ejpam-4765	303	42	therefore	therefore	ADV
ejpam-4765	303	43	,	,	PUNCT
ejpam-4765	303	44	using	use	VERB
ejpam-4765	303	45	again	again	ADV
ejpam-4765	303	46	the	the	DET
ejpam-4765	303	47	lemma	lemma	PROPN
ejpam-4765	303	48	1	1	NUM
ejpam-4765	303	49	and	and	CCONJ
ejpam-4765	303	50	the	the	DET
ejpam-4765	303	51	fact	fact	NOUN
ejpam-4765	303	52	that	that	SCONJ
ejpam-4765	303	53	the	the	DET
ejpam-4765	303	54	lower	low	ADJ
ejpam-4765	303	55	integral	integral	ADJ
ejpam-4765	303	56	l(q	l(q	PROPN
ejpam-4765	303	57	,	,	PUNCT
ejpam-4765	303	58	α	α	NOUN
ejpam-4765	303	59	)	)	PUNCT
ejpam-4765	303	60	and	and	CCONJ
ejpam-4765	303	61	the	the	DET
ejpam-4765	303	62	upper	upper	ADJ
ejpam-4765	303	63	integral∫	integral∫	NOUN
ejpam-4765	303	64	1	1	NUM
ejpam-4765	303	65	β	β	NOUN
ejpam-4765	303	66	q(s)ds	q(s)d	VERB
ejpam-4765	303	67	are	be	AUX
ejpam-4765	303	68	finite	finite	ADJ
ejpam-4765	303	69	,	,	PUNCT
ejpam-4765	303	70	we	we	PRON
ejpam-4765	303	71	get	get	VERB
ejpam-4765	303	72	for	for	ADP
ejpam-4765	303	73	all	all	DET
ejpam-4765	303	74	n	n	ADV
ejpam-4765	303	75	large	large	ADJ
ejpam-4765	303	76	enough	enough	ADV
ejpam-4765	303	77	:	:	PUNCT
ejpam-4765	303	78	un	un	PROPN
ejpam-4765	303	79	,	,	PUNCT
ejpam-4765	303	80	k,1(qn	k,1(qn	PROPN
ejpam-4765	303	81	,	,	PUNCT
ejpam-4765	303	82	β	β	NOUN
ejpam-4765	303	83	)	)	PUNCT
ejpam-4765	303	84	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	303	85	,	,	PUNCT
ejpam-4765	303	86	α	α	NOUN
ejpam-4765	303	87	)	)	PUNCT
ejpam-4765	303	88	×	×	NOUN
ejpam-4765	303	89	√	√	PUNCT
ejpam-4765	303	90	n	n	CCONJ
ejpam-4765	303	91	(	(	PUNCT
ejpam-4765	303	92	ln(α	ln(α	PROPN
ejpam-4765	303	93	)	)	PUNCT
ejpam-4765	303	94	−	−	PROPN
ejpam-4765	304	1	l(q	l(q	PROPN
ejpam-4765	304	2	,	,	PUNCT
ejpam-4765	304	3	α	α	NOUN
ejpam-4765	304	4	)	)	PUNCT
ejpam-4765	304	5	)	)	PUNCT
ejpam-4765	305	1	(	(	PUNCT
ejpam-4765	305	2	k	k	X
ejpam-4765	305	3	/	/	SYM
ejpam-4765	305	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	305	5	,	,	PUNCT
ejpam-4765	305	6	n	n	NOUN
ejpam-4765	305	7	=	=	PUNCT
ejpam-4765	305	8	op(1	op(1	PROPN
ejpam-4765	305	9	)	)	PUNCT
ejpam-4765	305	10	.	.	PUNCT
ejpam-4765	306	1	(	(	PUNCT
ejpam-4765	306	2	29	29	NUM
ejpam-4765	306	3	)	)	PUNCT
ejpam-4765	306	4	finally	finally	ADV
ejpam-4765	306	5	,	,	PUNCT
ejpam-4765	306	6	combining	combine	VERB
ejpam-4765	306	7	(	(	PUNCT
ejpam-4765	306	8	28	28	NUM
ejpam-4765	306	9	)	)	PUNCT
ejpam-4765	306	10	and	and	CCONJ
ejpam-4765	306	11	(	(	PUNCT
ejpam-4765	306	12	29	29	NUM
ejpam-4765	306	13	)	)	PUNCT
ejpam-4765	306	14	,	,	PUNCT
ejpam-4765	306	15	the	the	DET
ejpam-4765	306	16	lemma	lemma	PROPN
ejpam-4765	306	17	2	2	NUM
ejpam-4765	306	18	follows	follow	VERB
ejpam-4765	306	19	.	.	PUNCT
ejpam-4765	307	1	proof	proof	NOUN
ejpam-4765	307	2	of	of	ADP
ejpam-4765	307	3	lemma	lemma	PROPN
ejpam-4765	307	4	3	3	NUM
ejpam-4765	307	5	.	.	PUNCT
ejpam-4765	308	1	we	we	PRON
ejpam-4765	308	2	use	use	VERB
ejpam-4765	308	3	the	the	DET
ejpam-4765	308	4	following	follow	VERB
ejpam-4765	308	5	decomposition	decomposition	NOUN
ejpam-4765	308	6	:	:	PUNCT
ejpam-4765	308	7	un	un	PROPN
ejpam-4765	308	8	,	,	PUNCT
ejpam-4765	308	9	k,2	k,2	X
ejpam-4765	308	10	(	(	PUNCT
ejpam-4765	308	11	q	q	PROPN
ejpam-4765	308	12	(	(	PUNCT
ejpam-4765	308	13	k	k	NOUN
ejpam-4765	308	14	)	)	PUNCT
ejpam-4765	308	15	n	n	CCONJ
ejpam-4765	308	16	,	,	PUNCT
ejpam-4765	308	17	k	k	PROPN
ejpam-4765	308	18	)	)	PUNCT
ejpam-4765	308	19	ln(α	ln(α	PROPN
ejpam-4765	308	20	)	)	PUNCT
ejpam-4765	308	21	−	−	PRON
ejpam-4765	308	22	un	un	PROPN
ejpam-4765	308	23	,	,	PUNCT
ejpam-4765	308	24	k,2(q	k,2(q	PROPN
ejpam-4765	308	25	)	)	PUNCT
ejpam-4765	308	26	l(q	l(q	PROPN
ejpam-4765	308	27	,	,	PUNCT
ejpam-4765	308	28	α	α	X
ejpam-4765	308	29	)	)	PUNCT
ejpam-4765	308	30	=	=	SYM
ejpam-4765	308	31	un	un	PROPN
ejpam-4765	308	32	,	,	PUNCT
ejpam-4765	308	33	k,2	k,2	X
ejpam-4765	308	34	(	(	PUNCT
ejpam-4765	308	35	q	q	PROPN
ejpam-4765	308	36	(	(	PUNCT
ejpam-4765	308	37	k	k	NOUN
ejpam-4765	308	38	)	)	PUNCT
ejpam-4765	308	39	n	n	CCONJ
ejpam-4765	308	40	,	,	PUNCT
ejpam-4765	308	41	k	k	PROPN
ejpam-4765	308	42	)	)	PUNCT
ejpam-4765	308	43	ln(α	ln(α	PROPN
ejpam-4765	308	44	)	)	PUNCT
ejpam-4765	308	45	−	−	PRON
ejpam-4765	308	46	un	un	PROPN
ejpam-4765	308	47	,	,	PUNCT
ejpam-4765	308	48	k,2	k,2	X
ejpam-4765	308	49	(	(	PUNCT
ejpam-4765	308	50	q	q	PROPN
ejpam-4765	308	51	(	(	PUNCT
ejpam-4765	308	52	k	k	NOUN
ejpam-4765	308	53	)	)	PUNCT
ejpam-4765	308	54	n	n	CCONJ
ejpam-4765	308	55	,	,	PUNCT
ejpam-4765	308	56	k	k	PROPN
ejpam-4765	308	57	)	)	PUNCT
ejpam-4765	308	58	l(q	l(q	PROPN
ejpam-4765	308	59	,	,	PUNCT
ejpam-4765	308	60	α	α	X
ejpam-4765	308	61	)	)	PUNCT
ejpam-4765	308	62	+	+	CCONJ
ejpam-4765	308	63	un	un	PROPN
ejpam-4765	308	64	,	,	PUNCT
ejpam-4765	308	65	k,2	k,2	X
ejpam-4765	308	66	(	(	PUNCT
ejpam-4765	308	67	q	q	PROPN
ejpam-4765	308	68	(	(	PUNCT
ejpam-4765	308	69	k	k	NOUN
ejpam-4765	308	70	)	)	PUNCT
ejpam-4765	308	71	n	n	CCONJ
ejpam-4765	308	72	,	,	PUNCT
ejpam-4765	308	73	k	k	PROPN
ejpam-4765	308	74	)	)	PUNCT
ejpam-4765	308	75	l(q	l(q	PROPN
ejpam-4765	308	76	,	,	PUNCT
ejpam-4765	308	77	α	α	NOUN
ejpam-4765	308	78	)	)	PUNCT
ejpam-4765	308	79	−	−	PROPN
ejpam-4765	308	80	un	un	PROPN
ejpam-4765	308	81	,	,	PUNCT
ejpam-4765	308	82	k,2(q	k,2(q	PROPN
ejpam-4765	308	83	)	)	PUNCT
ejpam-4765	308	84	l(q	l(q	PROPN
ejpam-4765	308	85	,	,	PUNCT
ejpam-4765	308	86	α	α	X
ejpam-4765	308	87	)	)	PUNCT
ejpam-4765	308	88	=	=	SYM
ejpam-4765	308	89	1	1	NUM
ejpam-4765	308	90	l(q	l(q	PROPN
ejpam-4765	308	91	,	,	PUNCT
ejpam-4765	308	92	α	α	X
ejpam-4765	308	93	)	)	PUNCT
ejpam-4765	308	94	(	(	PUNCT
ejpam-4765	308	95	un	un	PROPN
ejpam-4765	308	96	,	,	PUNCT
ejpam-4765	308	97	k,2	k,2	X
ejpam-4765	308	98	(	(	PUNCT
ejpam-4765	308	99	q	q	PROPN
ejpam-4765	308	100	(	(	PUNCT
ejpam-4765	308	101	k	k	NOUN
ejpam-4765	308	102	)	)	PUNCT
ejpam-4765	308	103	n	n	CCONJ
ejpam-4765	308	104	,	,	PUNCT
ejpam-4765	308	105	k	k	PROPN
ejpam-4765	308	106	)	)	PUNCT
ejpam-4765	308	107	−	−	PROPN
ejpam-4765	308	108	un	un	PROPN
ejpam-4765	308	109	,	,	PUNCT
ejpam-4765	308	110	k,2(q	k,2(q	PROPN
ejpam-4765	308	111	)	)	PUNCT
ejpam-4765	308	112	)	)	PUNCT
ejpam-4765	309	1	−	−	PROPN
ejpam-4765	309	2	un	un	PROPN
ejpam-4765	309	3	,	,	PUNCT
ejpam-4765	309	4	k,2	k,2	X
ejpam-4765	309	5	(	(	PUNCT
ejpam-4765	309	6	q	q	PROPN
ejpam-4765	309	7	(	(	PUNCT
ejpam-4765	309	8	k	k	NOUN
ejpam-4765	309	9	)	)	PUNCT
ejpam-4765	309	10	n	n	CCONJ
ejpam-4765	309	11	,	,	PUNCT
ejpam-4765	309	12	k	k	PROPN
ejpam-4765	309	13	)	)	PUNCT
ejpam-4765	309	14	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	309	15	,	,	PUNCT
ejpam-4765	309	16	α	α	X
ejpam-4765	309	17	)	)	PUNCT
ejpam-4765	309	18	(	(	PUNCT
ejpam-4765	309	19	ln(α	ln(α	PROPN
ejpam-4765	309	20	)	)	PUNCT
ejpam-4765	310	1	−	−	PROPN
ejpam-4765	311	1	l(q	l(q	PROPN
ejpam-4765	311	2	,	,	PUNCT
ejpam-4765	311	3	α	α	NOUN
ejpam-4765	311	4	)	)	PUNCT
ejpam-4765	311	5	)	)	PUNCT
ejpam-4765	311	6	.	.	PUNCT
ejpam-4765	312	1	this	this	PRON
ejpam-4765	312	2	implies	imply	VERB
ejpam-4765	312	3	that	that	SCONJ
ejpam-4765	312	4	:	:	PUNCT
ejpam-4765	312	5	√	√	NUM
ejpam-4765	312	6	n	n	CCONJ
ejpam-4765	312	7	un	un	ADJ
ejpam-4765	312	8	,	,	PUNCT
ejpam-4765	312	9	k,2	k,2	X
ejpam-4765	312	10	(	(	PUNCT
ejpam-4765	312	11	q	q	PROPN
ejpam-4765	312	12	(	(	PUNCT
ejpam-4765	312	13	k	k	NOUN
ejpam-4765	312	14	)	)	PUNCT
ejpam-4765	312	15	n	n	CCONJ
ejpam-4765	312	16	,	,	PUNCT
ejpam-4765	312	17	k	k	PROPN
ejpam-4765	312	18	)	)	PUNCT
ejpam-4765	312	19	ln(α	ln(α	PROPN
ejpam-4765	312	20	)	)	PUNCT
ejpam-4765	312	21	−	−	PRON
ejpam-4765	312	22	un	un	PROPN
ejpam-4765	312	23	,	,	PUNCT
ejpam-4765	312	24	k,2(q	k,2(q	PROPN
ejpam-4765	312	25	)	)	PUNCT
ejpam-4765	312	26	l(q	l(q	PROPN
ejpam-4765	312	27	,	,	PUNCT
ejpam-4765	312	28	α	α	NOUN
ejpam-4765	312	29	)	)	PUNCT
ejpam-4765	313	1			NOUN
ejpam-4765	313	2	(	(	PUNCT
ejpam-4765	313	3	k	k	NOUN
ejpam-4765	313	4	/	/	SYM
ejpam-4765	313	5	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	313	6	,	,	PUNCT
ejpam-4765	313	7	n	n	NOUN
ejpam-4765	313	8	=	=	SYM
ejpam-4765	313	9	1	1	NUM
ejpam-4765	313	10	l(q	l(q	PROPN
ejpam-4765	313	11	,	,	PUNCT
ejpam-4765	313	12	α	α	NOUN
ejpam-4765	313	13	)	)	PUNCT
ejpam-4765	313	14	×	×	NOUN
ejpam-4765	313	15	√	√	PUNCT
ejpam-4765	313	16	n	n	CCONJ
ejpam-4765	313	17	(	(	PUNCT
ejpam-4765	313	18	un	un	PROPN
ejpam-4765	313	19	,	,	PUNCT
ejpam-4765	313	20	k,2	k,2	X
ejpam-4765	313	21	(	(	PUNCT
ejpam-4765	313	22	q	q	PROPN
ejpam-4765	313	23	(	(	PUNCT
ejpam-4765	313	24	k	k	NOUN
ejpam-4765	313	25	)	)	PUNCT
ejpam-4765	313	26	n	n	CCONJ
ejpam-4765	313	27	,	,	PUNCT
ejpam-4765	313	28	k	k	PROPN
ejpam-4765	313	29	)	)	PUNCT
ejpam-4765	313	30	−	−	PROPN
ejpam-4765	313	31	un	un	PROPN
ejpam-4765	313	32	,	,	PUNCT
ejpam-4765	313	33	k,2(q	k,2(q	PROPN
ejpam-4765	313	34	)	)	PUNCT
ejpam-4765	313	35	)	)	PUNCT
ejpam-4765	314	1	(	(	PUNCT
ejpam-4765	314	2	k	k	X
ejpam-4765	314	3	/	/	SYM
ejpam-4765	314	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	314	5	,	,	PUNCT
ejpam-4765	314	6	n	n	CCONJ
ejpam-4765	314	7	−	−	PROPN
ejpam-4765	314	8	un	un	PROPN
ejpam-4765	314	9	,	,	PUNCT
ejpam-4765	314	10	k,2	k,2	X
ejpam-4765	314	11	(	(	PUNCT
ejpam-4765	314	12	q	q	PROPN
ejpam-4765	314	13	(	(	PUNCT
ejpam-4765	314	14	k	k	NOUN
ejpam-4765	314	15	)	)	PUNCT
ejpam-4765	314	16	n	n	CCONJ
ejpam-4765	314	17	,	,	PUNCT
ejpam-4765	314	18	k	k	PROPN
ejpam-4765	314	19	)	)	PUNCT
ejpam-4765	314	20	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	314	21	,	,	PUNCT
ejpam-4765	314	22	α	α	NOUN
ejpam-4765	314	23	)	)	PUNCT
ejpam-4765	314	24	×	×	NOUN
ejpam-4765	314	25	√	√	PUNCT
ejpam-4765	314	26	n	n	CCONJ
ejpam-4765	314	27	(	(	PUNCT
ejpam-4765	314	28	ln(α	ln(α	PROPN
ejpam-4765	314	29	)	)	PUNCT
ejpam-4765	314	30	−	−	PROPN
ejpam-4765	315	1	l(q	l(q	PROPN
ejpam-4765	315	2	,	,	PUNCT
ejpam-4765	315	3	α	α	NOUN
ejpam-4765	315	4	)	)	PUNCT
ejpam-4765	315	5	)	)	PUNCT
ejpam-4765	316	1	(	(	PUNCT
ejpam-4765	316	2	k	k	X
ejpam-4765	316	3	/	/	SYM
ejpam-4765	316	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	316	5	,	,	PUNCT
ejpam-4765	316	6	n	n	PROPN
ejpam-4765	316	7	.(30	.(30	X
ejpam-4765	316	8	)	)	PUNCT
ejpam-4765	316	9	recall	recall	NOUN
ejpam-4765	316	10	that	that	DET
ejpam-4765	316	11	un	un	PROPN
ejpam-4765	316	12	,	,	PUNCT
ejpam-4765	316	13	k,2	k,2	X
ejpam-4765	316	14	(	(	PUNCT
ejpam-4765	316	15	q	q	PROPN
ejpam-4765	316	16	(	(	PUNCT
ejpam-4765	316	17	k	k	NOUN
ejpam-4765	316	18	)	)	PUNCT
ejpam-4765	316	19	n	n	CCONJ
ejpam-4765	316	20	,	,	PUNCT
ejpam-4765	316	21	k	k	PROPN
ejpam-4765	316	22	)	)	PUNCT
ejpam-4765	317	1	=	=	SYM
ejpam-4765	317	2	k	k	X
ejpam-4765	317	3	/	/	SYM
ejpam-4765	317	4	n	n	PROPN
ejpam-4765	317	5	1	1	NUM
ejpam-4765	317	6	−	−	NOUN
ejpam-4765	317	7	γ̂	γ̂	PUNCT
ejpam-4765	317	8	(	(	PUNCT
ejpam-4765	317	9	k	k	NOUN
ejpam-4765	317	10	)	)	PUNCT
ejpam-4765	317	11	n	n	CCONJ
ejpam-4765	317	12	,	,	PUNCT
ejpam-4765	317	13	k	k	PROPN
ejpam-4765	317	14	xn−k	xn−k	PROPN
ejpam-4765	317	15	,	,	PUNCT
ejpam-4765	317	16	n.	n.	PROPN
ejpam-4765	317	17	according	accord	VERB
ejpam-4765	317	18	to	to	ADP
ejpam-4765	317	19	theorem	theorem	NOUN
ejpam-4765	317	20	1	1	NUM
ejpam-4765	317	21	in	in	ADP
ejpam-4765	317	22	[	[	PUNCT
ejpam-4765	317	23	13	13	NUM
ejpam-4765	317	24	]	]	PUNCT
ejpam-4765	317	25	,	,	PUNCT
ejpam-4765	317	26	we	we	PRON
ejpam-4765	317	27	have	have	VERB
ejpam-4765	317	28	as	as	ADP
ejpam-4765	317	29	n	n	NOUN
ejpam-4765	317	30	→	→	SYM
ejpam-4765	317	31	∞	∞	NUM
ejpam-4765	317	32	:	:	PUNCT
ejpam-4765	317	33	√	√	PROPN
ejpam-4765	318	1	k	k	PROPN
ejpam-4765	318	2	(	(	PUNCT
ejpam-4765	318	3	γ̂	γ̂	X
ejpam-4765	318	4	(	(	PUNCT
ejpam-4765	318	5	k	k	NOUN
ejpam-4765	318	6	)	)	PUNCT
ejpam-4765	318	7	n	n	CCONJ
ejpam-4765	318	8	,	,	PUNCT
ejpam-4765	318	9	k	k	PROPN
ejpam-4765	318	10	−	−	PROPN
ejpam-4765	318	11	γ	γ	X
ejpam-4765	318	12	)	)	PUNCT
ejpam-4765	318	13	d	d	PROPN
ejpam-4765	318	14	=	=	PUNCT
ejpam-4765	319	1	√	√	PROPN
ejpam-4765	319	2	k	k	NOUN
ejpam-4765	319	3	a	a	PRON
ejpam-4765	319	4	(	(	PUNCT
ejpam-4765	319	5	n	n	CCONJ
ejpam-4765	319	6	/	/	SYM
ejpam-4765	319	7	k	k	NOUN
ejpam-4765	319	8	)	)	PUNCT
ejpam-4765	319	9	∫	∫	PROPN
ejpam-4765	319	10	1	1	NUM
ejpam-4765	319	11	0	0	NUM
ejpam-4765	319	12	s−ρk(s)ds+γ	s−ρk(s)ds+γ	NOUN
ejpam-4765	319	13	√	√	PROPN
ejpam-4765	320	1	n	n	CCONJ
ejpam-4765	320	2	k	k	NOUN
ejpam-4765	320	3	∫	∫	PROPN
ejpam-4765	320	4	1	1	NUM
ejpam-4765	320	5	0	0	NUM
ejpam-4765	320	6	s−1bn	s−1bn	NOUN
ejpam-4765	320	7	(	(	PUNCT
ejpam-4765	320	8	1	1	NUM
ejpam-4765	320	9	−	−	PROPN
ejpam-4765	320	10	s	s	PART
ejpam-4765	320	11	k	k	PROPN
ejpam-4765	320	12	n	n	PROPN
ejpam-4765	320	13	)	)	PUNCT
ejpam-4765	320	14	d	d	NOUN
ejpam-4765	320	15	(	(	PUNCT
ejpam-4765	320	16	sk(s))+op(1	sk(s))+op(1	NOUN
ejpam-4765	320	17	)	)	PUNCT
ejpam-4765	320	18	(	(	PUNCT
ejpam-4765	320	19	31	31	NUM
ejpam-4765	320	20	)	)	PUNCT
ejpam-4765	320	21	this	this	PRON
ejpam-4765	320	22	leads	lead	VERB
ejpam-4765	320	23	to	to	ADP
ejpam-4765	320	24	the	the	DET
ejpam-4765	320	25	weak	weak	ADJ
ejpam-4765	320	26	consistency	consistency	NOUN
ejpam-4765	320	27	of	of	ADP
ejpam-4765	320	28	γ̂	γ̂	PROPN
ejpam-4765	320	29	(	(	PUNCT
ejpam-4765	320	30	k	k	NOUN
ejpam-4765	320	31	)	)	PUNCT
ejpam-4765	320	32	n	n	CCONJ
ejpam-4765	320	33	,	,	PUNCT
ejpam-4765	320	34	k	k	PROPN
ejpam-4765	320	35	to	to	ADP
ejpam-4765	320	36	γ	γ	PROPN
ejpam-4765	320	37	.	.	PROPN
ejpam-4765	320	38	since	since	SCONJ
ejpam-4765	320	39	q(1−	q(1−	NOUN
ejpam-4765	320	40	·	·	PUNCT
ejpam-4765	320	41	)	)	PUNCT
ejpam-4765	320	42	is	be	AUX
ejpam-4765	320	43	a	a	DET
ejpam-4765	320	44	regularly	regularly	ADV
ejpam-4765	320	45	varying	vary	VERB
ejpam-4765	320	46	function	function	NOUN
ejpam-4765	320	47	at	at	ADP
ejpam-4765	320	48	zero	zero	NUM
ejpam-4765	320	49	with	with	ADP
ejpam-4765	320	50	index	index	NOUN
ejpam-4765	320	51	−γ	−γ	NOUN
ejpam-4765	320	52	,	,	PUNCT
ejpam-4765	320	53	then	then	ADV
ejpam-4765	320	54	from	from	ADP
ejpam-4765	320	55	theorem	theorem	NOUN
ejpam-4765	320	56	2.4.1	2.4.1	NUM
ejpam-4765	320	57	in	in	ADP
ejpam-4765	320	58	[	[	X
ejpam-4765	320	59	10	10	NUM
ejpam-4765	320	60	]	]	PUNCT
ejpam-4765	320	61	,	,	PUNCT
ejpam-4765	320	62	xn−k	xn−k	PROPN
ejpam-4765	320	63	,	,	PUNCT
ejpam-4765	320	64	n	n	PROPN
ejpam-4765	320	65	=	=	SYM
ejpam-4765	320	66	q(1	q(1	PROPN
ejpam-4765	320	67	−	−	PROPN
ejpam-4765	320	68	k	k	NOUN
ejpam-4765	320	69	/	/	SYM
ejpam-4765	320	70	n)(1	n)(1	NOUN
ejpam-4765	320	71	+	+	CCONJ
ejpam-4765	320	72	op(1	op(1	NOUN
ejpam-4765	320	73	)	)	PUNCT
ejpam-4765	320	74	)	)	PUNCT
ejpam-4765	320	75	,	,	PUNCT
ejpam-4765	320	76	m.	m.	NOUN
ejpam-4765	320	77	kebe	kebe	PROPN
ejpam-4765	320	78	et	et	PROPN
ejpam-4765	320	79	al	al	PROPN
ejpam-4765	320	80	.	.	PUNCT
ejpam-4765	320	81	/	/	SYM
ejpam-4765	320	82	eur	eur	PROPN
ejpam-4765	320	83	.	.	PUNCT
ejpam-4765	321	1	j.	j.	PROPN
ejpam-4765	321	2	pure	pure	PROPN
ejpam-4765	321	3	appl	appl	PROPN
ejpam-4765	321	4	.	.	PROPN
ejpam-4765	321	5	math	math	PROPN
ejpam-4765	321	6	,	,	PUNCT
ejpam-4765	321	7	16	16	NUM
ejpam-4765	321	8	(	(	PUNCT
ejpam-4765	321	9	4	4	NUM
ejpam-4765	321	10	)	)	PUNCT
ejpam-4765	321	11	(	(	PUNCT
ejpam-4765	321	12	2023	2023	NUM
ejpam-4765	321	13	)	)	PUNCT
ejpam-4765	321	14	,	,	PUNCT
ejpam-4765	321	15	2509	2509	NUM
ejpam-4765	321	16	-	-	SYM
ejpam-4765	321	17	2543	2543	NUM
ejpam-4765	321	18	2523	2523	NUM
ejpam-4765	321	19	as	as	ADP
ejpam-4765	321	20	n	n	PROPN
ejpam-4765	321	21	→	→	SYM
ejpam-4765	321	22	∞	∞	NUM
ejpam-4765	321	23	and	and	CCONJ
ejpam-4765	321	24	(	(	PUNCT
ejpam-4765	321	25	k	k	X
ejpam-4765	321	26	/	/	SYM
ejpam-4765	321	27	n)q(1	n)q(1	NOUN
ejpam-4765	321	28	−	−	PROPN
ejpam-4765	321	29	k	k	NOUN
ejpam-4765	321	30	/	/	SYM
ejpam-4765	321	31	n	n	CCONJ
ejpam-4765	321	32	)	)	PUNCT
ejpam-4765	321	33	=	=	SYM
ejpam-4765	321	34	(	(	PUNCT
ejpam-4765	321	35	k	k	NOUN
ejpam-4765	321	36	/	/	SYM
ejpam-4765	321	37	n)1−γℓq(k	n)1−γℓq(k	NOUN
ejpam-4765	321	38	/	/	SYM
ejpam-4765	321	39	n	n	CCONJ
ejpam-4765	321	40	)	)	PUNCT
ejpam-4765	321	41	.	.	PUNCT
ejpam-4765	322	1	since	since	SCONJ
ejpam-4765	322	2	γ	γ	PROPN
ejpam-4765	322	3	∈	∈	PROPN
ejpam-4765	322	4	(	(	PUNCT
ejpam-4765	322	5	1/2	1/2	NUM
ejpam-4765	322	6	,	,	PUNCT
ejpam-4765	322	7	1	1	NUM
ejpam-4765	322	8	)	)	PUNCT
ejpam-4765	322	9	,	,	PUNCT
ejpam-4765	322	10	we	we	PRON
ejpam-4765	322	11	have	have	VERB
ejpam-4765	322	12	from	from	ADP
ejpam-4765	322	13	proposition	proposition	NOUN
ejpam-4765	322	14	1.3.6	1.3.6	NUM
ejpam-4765	322	15	in	in	ADP
ejpam-4765	322	16	[	[	X
ejpam-4765	322	17	5	5	NUM
ejpam-4765	322	18	]	]	PUNCT
ejpam-4765	322	19	,	,	PUNCT
ejpam-4765	322	20	(	(	PUNCT
ejpam-4765	322	21	k	k	X
ejpam-4765	322	22	/	/	SYM
ejpam-4765	322	23	n)1−γℓq(k	n)1−γℓq(k	NOUN
ejpam-4765	322	24	/	/	SYM
ejpam-4765	322	25	n	n	CCONJ
ejpam-4765	322	26	)	)	PUNCT
ejpam-4765	322	27	→	→	SYM
ejpam-4765	322	28	0	0	NUM
ejpam-4765	322	29	,	,	PUNCT
ejpam-4765	322	30	as	as	ADP
ejpam-4765	322	31	n	n	PROPN
ejpam-4765	322	32	→	→	SYM
ejpam-4765	322	33	∞.	∞.	PROPN
ejpam-4765	322	34	therefore	therefore	ADV
ejpam-4765	322	35	un	un	PROPN
ejpam-4765	322	36	,	,	PUNCT
ejpam-4765	322	37	k,2	k,2	PROPN
ejpam-4765	322	38	(	(	PUNCT
ejpam-4765	322	39	q	q	PROPN
ejpam-4765	322	40	(	(	PUNCT
ejpam-4765	322	41	k	k	NOUN
ejpam-4765	322	42	)	)	PUNCT
ejpam-4765	322	43	n	n	CCONJ
ejpam-4765	322	44	,	,	PUNCT
ejpam-4765	322	45	k	k	PROPN
ejpam-4765	322	46	)	)	PUNCT
ejpam-4765	322	47	p→	p→	NOUN
ejpam-4765	322	48	0	0	NUM
ejpam-4765	322	49	,	,	PUNCT
ejpam-4765	322	50	as	as	ADP
ejpam-4765	322	51	n	n	PROPN
ejpam-4765	322	52	→	→	SYM
ejpam-4765	322	53	∞.	∞.	PROPN
ejpam-4765	322	54	finally	finally	ADV
ejpam-4765	322	55	,	,	PUNCT
ejpam-4765	322	56	according	accord	VERB
ejpam-4765	322	57	to	to	ADP
ejpam-4765	322	58	the	the	DET
ejpam-4765	322	59	lemma	lemma	PROPN
ejpam-4765	322	60	1	1	NUM
ejpam-4765	322	61	in	in	ADP
ejpam-4765	322	62	this	this	DET
ejpam-4765	322	63	paper	paper	NOUN
ejpam-4765	322	64	,	,	PUNCT
ejpam-4765	322	65	the	the	DET
ejpam-4765	322	66	second	second	ADJ
ejpam-4765	322	67	right	right	ADJ
ejpam-4765	322	68	term	term	NOUN
ejpam-4765	322	69	of	of	ADP
ejpam-4765	322	70	the	the	DET
ejpam-4765	322	71	equation	equation	NOUN
ejpam-4765	322	72	30	30	NUM
ejpam-4765	322	73	is	be	AUX
ejpam-4765	322	74	equal	equal	ADJ
ejpam-4765	322	75	to	to	ADP
ejpam-4765	322	76	op(1	op(1	NOUN
ejpam-4765	322	77	)	)	PUNCT
ejpam-4765	322	78	.	.	PUNCT
ejpam-4765	323	1	now	now	ADV
ejpam-4765	323	2	,	,	PUNCT
ejpam-4765	323	3	it	it	PRON
ejpam-4765	323	4	allows	allow	VERB
ejpam-4765	323	5	us	we	PRON
ejpam-4765	323	6	to	to	PART
ejpam-4765	323	7	look	look	VERB
ejpam-4765	323	8	at	at	ADP
ejpam-4765	323	9	the	the	DET
ejpam-4765	323	10	first	first	ADJ
ejpam-4765	323	11	right	right	ADJ
ejpam-4765	323	12	term	term	NOUN
ejpam-4765	323	13	of	of	ADP
ejpam-4765	323	14	the	the	DET
ejpam-4765	323	15	equation	equation	NOUN
ejpam-4765	323	16	30	30	NUM
ejpam-4765	323	17	.	.	PUNCT
ejpam-4765	324	1	clearly	clearly	ADV
ejpam-4765	324	2	xn−k	xn−k	PROPN
ejpam-4765	324	3	,	,	PUNCT
ejpam-4765	324	4	n	n	PROPN
ejpam-4765	324	5	d	d	NOUN
ejpam-4765	324	6	=	=	SYM
ejpam-4765	324	7	u(yn−k	u(yn−k	PROPN
ejpam-4765	324	8	,	,	PUNCT
ejpam-4765	324	9	n	n	CCONJ
ejpam-4765	324	10	)	)	PUNCT
ejpam-4765	324	11	with	with	ADP
ejpam-4765	324	12	u(x	u(x	NOUN
ejpam-4765	324	13	)	)	PUNCT
ejpam-4765	324	14	=	=	PUNCT
ejpam-4765	325	1	q(1	q(1	NOUN
ejpam-4765	325	2	−	−	NOUN
ejpam-4765	326	1	1	1	NUM
ejpam-4765	326	2	/	/	SYM
ejpam-4765	326	3	x	x	NOUN
ejpam-4765	326	4	)	)	PUNCT
ejpam-4765	326	5	and	and	CCONJ
ejpam-4765	326	6	un	un	PROPN
ejpam-4765	326	7	,	,	PUNCT
ejpam-4765	326	8	k,2	k,2	X
ejpam-4765	326	9	(	(	PUNCT
ejpam-4765	326	10	q	q	PROPN
ejpam-4765	326	11	(	(	PUNCT
ejpam-4765	326	12	k	k	NOUN
ejpam-4765	326	13	)	)	PUNCT
ejpam-4765	326	14	n	n	CCONJ
ejpam-4765	326	15	,	,	PUNCT
ejpam-4765	326	16	k	k	PROPN
ejpam-4765	326	17	)	)	PUNCT
ejpam-4765	327	1	d	d	X
ejpam-4765	327	2	=	=	SYM
ejpam-4765	327	3	k	k	NOUN
ejpam-4765	327	4	/	/	SYM
ejpam-4765	327	5	n	n	PROPN
ejpam-4765	327	6	1	1	NUM
ejpam-4765	327	7	−	−	NOUN
ejpam-4765	327	8	γ̂	γ̂	PUNCT
ejpam-4765	328	1	(	(	PUNCT
ejpam-4765	328	2	k	k	NOUN
ejpam-4765	328	3	)	)	PUNCT
ejpam-4765	328	4	n	n	CCONJ
ejpam-4765	328	5	,	,	PUNCT
ejpam-4765	328	6	k	k	PROPN
ejpam-4765	328	7	u	u	PROPN
ejpam-4765	328	8	(	(	PUNCT
ejpam-4765	328	9	yn−k	yn−k	PROPN
ejpam-4765	328	10	,	,	PUNCT
ejpam-4765	328	11	n	n	CCONJ
ejpam-4765	328	12	)	)	PUNCT
ejpam-4765	328	13	.	.	PUNCT
ejpam-4765	329	1	by	by	ADP
ejpam-4765	329	2	remarking	remark	VERB
ejpam-4765	329	3	that	that	SCONJ
ejpam-4765	329	4	xn−k	xn−k	PROPN
ejpam-4765	329	5	,	,	PUNCT
ejpam-4765	329	6	n	n	PROPN
ejpam-4765	329	7	=	=	SYM
ejpam-4765	329	8	u(n	u(n	PROPN
ejpam-4765	329	9	/	/	SYM
ejpam-4765	329	10	k)(1	k)(1	X
ejpam-4765	329	11	+	+	CCONJ
ejpam-4765	329	12	op(1	op(1	NOUN
ejpam-4765	329	13	)	)	PUNCT
ejpam-4765	329	14	)	)	PUNCT
ejpam-4765	329	15	with	with	ADP
ejpam-4765	329	16	u	u	PROPN
ejpam-4765	329	17	(	(	PUNCT
ejpam-4765	329	18	n	n	CCONJ
ejpam-4765	329	19	/	/	SYM
ejpam-4765	329	20	k	k	NOUN
ejpam-4765	329	21	)	)	PUNCT
ejpam-4765	329	22	=	=	SYM
ejpam-4765	329	23	q(1	q(1	NOUN
ejpam-4765	329	24	−	−	PROPN
ejpam-4765	330	1	k	k	NOUN
ejpam-4765	330	2	/	/	SYM
ejpam-4765	330	3	n	n	CCONJ
ejpam-4765	330	4	)	)	PUNCT
ejpam-4765	330	5	,	,	PUNCT
ejpam-4765	330	6	we	we	PRON
ejpam-4765	330	7	have	have	VERB
ejpam-4765	330	8	:	:	PUNCT
ejpam-4765	330	9	√	√	PROPN
ejpam-4765	330	10	n	n	CCONJ
ejpam-4765	330	11	(	(	PUNCT
ejpam-4765	330	12	un	un	PROPN
ejpam-4765	330	13	,	,	PUNCT
ejpam-4765	330	14	k,2	k,2	X
ejpam-4765	330	15	(	(	PUNCT
ejpam-4765	330	16	q	q	PROPN
ejpam-4765	330	17	(	(	PUNCT
ejpam-4765	330	18	k	k	NOUN
ejpam-4765	330	19	)	)	PUNCT
ejpam-4765	330	20	n	n	CCONJ
ejpam-4765	330	21	,	,	PUNCT
ejpam-4765	330	22	k	k	PROPN
ejpam-4765	330	23	)	)	PUNCT
ejpam-4765	331	1	−	−	PROPN
ejpam-4765	331	2	un	un	PROPN
ejpam-4765	331	3	,	,	PUNCT
ejpam-4765	331	4	k,2(q	k,2(q	PROPN
ejpam-4765	331	5	)	)	PUNCT
ejpam-4765	331	6	)	)	PUNCT
ejpam-4765	332	1	l(q	l(q	PROPN
ejpam-4765	332	2	,	,	PUNCT
ejpam-4765	332	3	α)(k	α)(k	NOUN
ejpam-4765	332	4	/	/	SYM
ejpam-4765	332	5	n)1/2xn−k	n)1/2xn−k	NOUN
ejpam-4765	332	6	,	,	PUNCT
ejpam-4765	332	7	n	n	NOUN
ejpam-4765	332	8	d	d	NOUN
ejpam-4765	332	9	=	=	PUNCT
ejpam-4765	332	10	√	√	PROPN
ejpam-4765	332	11	n	n	PROPN
ejpam-4765	332	12	(	(	PUNCT
ejpam-4765	332	13	un	un	PROPN
ejpam-4765	332	14	,	,	PUNCT
ejpam-4765	332	15	k,2	k,2	X
ejpam-4765	332	16	(	(	PUNCT
ejpam-4765	332	17	q	q	PROPN
ejpam-4765	332	18	(	(	PUNCT
ejpam-4765	332	19	k	k	NOUN
ejpam-4765	332	20	)	)	PUNCT
ejpam-4765	332	21	n	n	CCONJ
ejpam-4765	332	22	,	,	PUNCT
ejpam-4765	332	23	k	k	PROPN
ejpam-4765	332	24	)	)	PUNCT
ejpam-4765	333	1	−	−	PROPN
ejpam-4765	333	2	un	un	PROPN
ejpam-4765	333	3	,	,	PUNCT
ejpam-4765	333	4	k,2(q	k,2(q	PROPN
ejpam-4765	333	5	)	)	PUNCT
ejpam-4765	333	6	)	)	PUNCT
ejpam-4765	334	1	l(q	l(q	PROPN
ejpam-4765	334	2	,	,	PUNCT
ejpam-4765	334	3	α)(k	α)(k	PROPN
ejpam-4765	334	4	/	/	SYM
ejpam-4765	334	5	n)1/2u	n)1/2u	PROPN
ejpam-4765	334	6	(	(	PUNCT
ejpam-4765	334	7	n	n	CCONJ
ejpam-4765	334	8	/	/	SYM
ejpam-4765	334	9	k	k	NOUN
ejpam-4765	334	10	)	)	PUNCT
ejpam-4765	334	11	{	{	PUNCT
ejpam-4765	334	12	1	1	NUM
ejpam-4765	334	13	+	+	CCONJ
ejpam-4765	334	14	op(1	op(1	NOUN
ejpam-4765	334	15	)	)	PUNCT
ejpam-4765	334	16	}	}	PUNCT
ejpam-4765	334	17	.	.	PUNCT
ejpam-4765	335	1	as	as	ADP
ejpam-4765	335	2	a	a	DET
ejpam-4765	335	3	consequence	consequence	NOUN
ejpam-4765	335	4	,	,	PUNCT
ejpam-4765	335	5	the	the	DET
ejpam-4765	335	6	following	follow	VERB
ejpam-4765	335	7	expansion	expansion	NOUN
ejpam-4765	335	8	holds	hold	VERB
ejpam-4765	335	9	:	:	PUNCT
ejpam-4765	335	10	√	√	PROPN
ejpam-4765	335	11	n	n	CCONJ
ejpam-4765	335	12	(	(	PUNCT
ejpam-4765	335	13	un	un	PROPN
ejpam-4765	335	14	,	,	PUNCT
ejpam-4765	335	15	k,2	k,2	X
ejpam-4765	335	16	(	(	PUNCT
ejpam-4765	335	17	q	q	PROPN
ejpam-4765	335	18	(	(	PUNCT
ejpam-4765	335	19	k	k	NOUN
ejpam-4765	335	20	)	)	PUNCT
ejpam-4765	335	21	n	n	CCONJ
ejpam-4765	335	22	,	,	PUNCT
ejpam-4765	335	23	k	k	PROPN
ejpam-4765	335	24	)	)	PUNCT
ejpam-4765	335	25	−	−	PROPN
ejpam-4765	335	26	un	un	PROPN
ejpam-4765	335	27	,	,	PUNCT
ejpam-4765	335	28	k,2(q	k,2(q	PROPN
ejpam-4765	335	29	)	)	PUNCT
ejpam-4765	335	30	)	)	PUNCT
ejpam-4765	335	31	l(q	l(q	PROPN
ejpam-4765	335	32	,	,	PUNCT
ejpam-4765	335	33	α)(k	α)(k	PROPN
ejpam-4765	335	34	/	/	SYM
ejpam-4765	335	35	n)1/2u	n)1/2u	PROPN
ejpam-4765	335	36	(	(	PUNCT
ejpam-4765	335	37	n	n	CCONJ
ejpam-4765	335	38	/	/	SYM
ejpam-4765	335	39	k	k	NOUN
ejpam-4765	335	40	)	)	PUNCT
ejpam-4765	336	1	d	d	NOUN
ejpam-4765	336	2	=	=	SYM
ejpam-4765	336	3	4∑	4∑	NUM
ejpam-4765	336	4	j=1	j=1	PROPN
ejpam-4765	336	5	tn	tn	PROPN
ejpam-4765	336	6	,	,	PUNCT
ejpam-4765	336	7	j	j	PROPN
ejpam-4765	336	8	,	,	PUNCT
ejpam-4765	336	9	where	where	SCONJ
ejpam-4765	336	10	tn,1	tn,1	PROPN
ejpam-4765	336	11	:	:	PUNCT
ejpam-4765	336	12	=	=	PUNCT
ejpam-4765	337	1	√	√	PROPN
ejpam-4765	337	2	k	k	SYM
ejpam-4765	337	3	l(q	l(q	PROPN
ejpam-4765	337	4	,	,	PUNCT
ejpam-4765	337	5	α	α	X
ejpam-4765	337	6	)	)	PUNCT
ejpam-4765	337	7	(	(	PUNCT
ejpam-4765	337	8	1	1	NUM
ejpam-4765	337	9	−	−	NOUN
ejpam-4765	337	10	γ̂	γ̂	PUNCT
ejpam-4765	337	11	(	(	PUNCT
ejpam-4765	337	12	k	k	NOUN
ejpam-4765	337	13	)	)	PUNCT
ejpam-4765	337	14	n	n	CCONJ
ejpam-4765	337	15	,	,	PUNCT
ejpam-4765	337	16	k	k	PROPN
ejpam-4765	337	17	)	)	PUNCT
ejpam-4765	338	1	[	[	PUNCT
ejpam-4765	338	2	u	u	X
ejpam-4765	338	3	(	(	PUNCT
ejpam-4765	338	4	yn−k	yn−k	PROPN
ejpam-4765	338	5	,	,	PUNCT
ejpam-4765	338	6	n	n	CCONJ
ejpam-4765	338	7	)	)	PUNCT
ejpam-4765	338	8	u(n	u(n	PROPN
ejpam-4765	338	9	/	/	SYM
ejpam-4765	338	10	k	k	NOUN
ejpam-4765	338	11	)	)	PUNCT
ejpam-4765	338	12	−	−	PROPN
ejpam-4765	339	1	(	(	PUNCT
ejpam-4765	339	2	k	k	NOUN
ejpam-4765	339	3	n	n	X
ejpam-4765	339	4	yn−k	yn−k	PROPN
ejpam-4765	339	5	,	,	PUNCT
ejpam-4765	339	6	n	n	NOUN
ejpam-4765	339	7	)	)	PUNCT
ejpam-4765	339	8	γ	γ	X
ejpam-4765	339	9	]	]	PUNCT
ejpam-4765	339	10	,	,	PUNCT
ejpam-4765	339	11	tn,2	tn,2	PROPN
ejpam-4765	339	12	:	:	PUNCT
ejpam-4765	339	13	=	=	SYM
ejpam-4765	339	14	√	√	PROPN
ejpam-4765	339	15	k	k	SYM
ejpam-4765	339	16	l(q	l(q	PROPN
ejpam-4765	339	17	,	,	PUNCT
ejpam-4765	339	18	α)(1	α)(1	PROPN
ejpam-4765	340	1	−	−	NOUN
ejpam-4765	340	2	γ̂	γ̂	PUNCT
ejpam-4765	341	1	(	(	PUNCT
ejpam-4765	341	2	k	k	NOUN
ejpam-4765	341	3	)	)	PUNCT
ejpam-4765	341	4	n	n	CCONJ
ejpam-4765	341	5	,	,	PUNCT
ejpam-4765	341	6	k	k	PROPN
ejpam-4765	341	7	)	)	PUNCT
ejpam-4765	342	1	[	[	X
ejpam-4765	342	2	(	(	PUNCT
ejpam-4765	342	3	k	k	NOUN
ejpam-4765	342	4	n	n	X
ejpam-4765	342	5	yn−k	yn−k	PROPN
ejpam-4765	342	6	,	,	PUNCT
ejpam-4765	342	7	n	n	CCONJ
ejpam-4765	342	8	)	)	PUNCT
ejpam-4765	342	9	γ	γ	NOUN
ejpam-4765	342	10	−	−	PROPN
ejpam-4765	342	11	1	1	NUM
ejpam-4765	342	12	]	]	PUNCT
ejpam-4765	342	13	,	,	PUNCT
ejpam-4765	342	14	tn,3	tn,3	PROPN
ejpam-4765	342	15	:	:	PUNCT
ejpam-4765	342	16	=	=	SYM
ejpam-4765	342	17	1	1	NUM
ejpam-4765	342	18	l(q	l(q	PROPN
ejpam-4765	342	19	,	,	PUNCT
ejpam-4765	342	20	α	α	X
ejpam-4765	342	21	)	)	PUNCT
ejpam-4765	342	22	(	(	PUNCT
ejpam-4765	342	23	1	1	NUM
ejpam-4765	342	24	−	−	NOUN
ejpam-4765	342	25	γ̂	γ̂	PUNCT
ejpam-4765	342	26	(	(	PUNCT
ejpam-4765	342	27	k	k	NOUN
ejpam-4765	342	28	)	)	PUNCT
ejpam-4765	342	29	n	n	CCONJ
ejpam-4765	342	30	,	,	PUNCT
ejpam-4765	342	31	k	k	PROPN
ejpam-4765	342	32	)	)	PUNCT
ejpam-4765	342	33	(	(	PUNCT
ejpam-4765	342	34	1	1	NUM
ejpam-4765	342	35	−	−	PROPN
ejpam-4765	342	36	γ	γ	X
ejpam-4765	342	37	)	)	PUNCT
ejpam-4765	342	38	√	√	NOUN
ejpam-4765	342	39	k	k	PROPN
ejpam-4765	343	1	(	(	PUNCT
ejpam-4765	343	2	γ̂	γ̂	X
ejpam-4765	343	3	(	(	PUNCT
ejpam-4765	343	4	k	k	NOUN
ejpam-4765	343	5	)	)	PUNCT
ejpam-4765	343	6	n	n	CCONJ
ejpam-4765	343	7	,	,	PUNCT
ejpam-4765	343	8	k	k	PROPN
ejpam-4765	344	1	−	−	PROPN
ejpam-4765	344	2	γ	γ	PROPN
ejpam-4765	344	3	)	)	PUNCT
ejpam-4765	344	4	,	,	PUNCT
ejpam-4765	344	5	tn,4	tn,4	PROPN
ejpam-4765	344	6	:	:	PUNCT
ejpam-4765	344	7	=	=	SYM
ejpam-4765	344	8	√	√	PROPN
ejpam-4765	344	9	n	n	PRON
ejpam-4765	344	10	l(q	l(q	PROPN
ejpam-4765	344	11	,	,	PUNCT
ejpam-4765	344	12	α	α	X
ejpam-4765	344	13	)	)	PUNCT
ejpam-4765	344	14	(	(	PUNCT
ejpam-4765	344	15	k	k	X
ejpam-4765	344	16	/	/	SYM
ejpam-4765	344	17	n)1/2u(n	n)1/2u(n	ADJ
ejpam-4765	344	18	/	/	SYM
ejpam-4765	344	19	k	k	NOUN
ejpam-4765	344	20	)	)	PUNCT
ejpam-4765	345	1	[	[	PUNCT
ejpam-4765	345	2	k	k	X
ejpam-4765	345	3	/	/	SYM
ejpam-4765	345	4	n	n	CCONJ
ejpam-4765	345	5	1	1	NUM
ejpam-4765	345	6	−	−	PROPN
ejpam-4765	345	7	γ	γ	X
ejpam-4765	345	8	u(n	u(n	PROPN
ejpam-4765	345	9	/	/	SYM
ejpam-4765	345	10	k	k	NOUN
ejpam-4765	345	11	)	)	PUNCT
ejpam-4765	345	12	−	−	PROPN
ejpam-4765	345	13	un	un	PROPN
ejpam-4765	345	14	,	,	PUNCT
ejpam-4765	345	15	k,2(q	k,2(q	PROPN
ejpam-4765	345	16	,	,	PUNCT
ejpam-4765	345	17	β	β	NOUN
ejpam-4765	345	18	)	)	PUNCT
ejpam-4765	345	19	]	]	PUNCT
ejpam-4765	345	20	.	.	PUNCT
ejpam-4765	346	1	we	we	PRON
ejpam-4765	346	2	study	study	VERB
ejpam-4765	346	3	each	each	DET
ejpam-4765	346	4	term	term	NOUN
ejpam-4765	346	5	separately	separately	ADV
ejpam-4765	346	6	.	.	PUNCT
ejpam-4765	347	1	term	term	PROPN
ejpam-4765	347	2	tn,1	tn,1	PROPN
ejpam-4765	347	3	.	.	PUNCT
ejpam-4765	348	1	according	accord	VERB
ejpam-4765	348	2	to	to	ADP
ejpam-4765	348	3	the	the	DET
ejpam-4765	348	4	theorem	theorem	NOUN
ejpam-4765	348	5	2.3.9	2.3.9	NUM
ejpam-4765	348	6	in	in	ADP
ejpam-4765	348	7	[	[	X
ejpam-4765	348	8	10	10	NUM
ejpam-4765	348	9	]	]	PUNCT
ejpam-4765	348	10	,	,	PUNCT
ejpam-4765	348	11	for	for	ADP
ejpam-4765	348	12	any	any	DET
ejpam-4765	348	13	δ	δ	PROPN
ejpam-4765	348	14	>	>	X
ejpam-4765	348	15	0	0	PROPN
ejpam-4765	348	16	,	,	PUNCT
ejpam-4765	348	17	we	we	PRON
ejpam-4765	348	18	have	have	VERB
ejpam-4765	348	19	√	√	NUM
ejpam-4765	348	20	k	k	NOUN
ejpam-4765	348	21	(	(	PUNCT
ejpam-4765	348	22	u	u	NOUN
ejpam-4765	348	23	(	(	PUNCT
ejpam-4765	348	24	yn−k	yn−k	PROPN
ejpam-4765	348	25	,	,	PUNCT
ejpam-4765	348	26	n	n	CCONJ
ejpam-4765	348	27	)	)	PUNCT
ejpam-4765	348	28	u(n	u(n	PROPN
ejpam-4765	348	29	/	/	SYM
ejpam-4765	348	30	k	k	NOUN
ejpam-4765	348	31	)	)	PUNCT
ejpam-4765	348	32	−	−	PROPN
ejpam-4765	349	1	(	(	PUNCT
ejpam-4765	349	2	k	k	NOUN
ejpam-4765	349	3	n	n	X
ejpam-4765	349	4	yn−k	yn−k	PROPN
ejpam-4765	349	5	,	,	PUNCT
ejpam-4765	349	6	n	n	NOUN
ejpam-4765	349	7	)	)	PUNCT
ejpam-4765	349	8	γ	γ	X
ejpam-4765	349	9	)	)	PUNCT
ejpam-4765	349	10	=	=	PUNCT
ejpam-4765	350	1	√	√	PROPN
ejpam-4765	350	2	k	k	NOUN
ejpam-4765	350	3	a	a	PRON
ejpam-4765	350	4	(	(	PUNCT
ejpam-4765	350	5	n	n	X
ejpam-4765	350	6	k	k	NOUN
ejpam-4765	350	7	)	)	PUNCT
ejpam-4765	350	8	{	{	PUNCT
ejpam-4765	350	9	(	(	PUNCT
ejpam-4765	350	10	k	k	NOUN
ejpam-4765	350	11	n	n	PRON
ejpam-4765	350	12	yn−k	yn−k	PROPN
ejpam-4765	350	13	,	,	PUNCT
ejpam-4765	350	14	n	n	CCONJ
ejpam-4765	350	15	)	)	PUNCT
ejpam-4765	350	16	γ	γ	X
ejpam-4765	350	17	(	(	PUNCT
ejpam-4765	350	18	k	k	X
ejpam-4765	350	19	nyn−k	nyn−k	PROPN
ejpam-4765	350	20	,	,	PUNCT
ejpam-4765	350	21	n	n	CCONJ
ejpam-4765	350	22	)	)	PUNCT
ejpam-4765	350	23	ρ	ρ	NOUN
ejpam-4765	350	24	−	−	PROPN
ejpam-4765	350	25	1	1	NUM
ejpam-4765	350	26	ρ	ρ	NOUN
ejpam-4765	350	27	+	+	CCONJ
ejpam-4765	350	28	op(1	op(1	NOUN
ejpam-4765	350	29	)	)	PUNCT
ejpam-4765	350	30	(	(	PUNCT
ejpam-4765	350	31	k	k	NOUN
ejpam-4765	350	32	n	n	X
ejpam-4765	350	33	yn−k	yn−k	PROPN
ejpam-4765	350	34	,	,	PUNCT
ejpam-4765	350	35	n	n	CCONJ
ejpam-4765	350	36	)	)	PUNCT
ejpam-4765	350	37	γ+ρ±δ	γ+ρ±δ	NOUN
ejpam-4765	350	38	}	}	PUNCT
ejpam-4765	350	39	,	,	PUNCT
ejpam-4765	350	40	we	we	PRON
ejpam-4765	350	41	study	study	VERB
ejpam-4765	350	42	each	each	DET
ejpam-4765	350	43	term	term	NOUN
ejpam-4765	350	44	separately	separately	ADV
ejpam-4765	350	45	.	.	PUNCT
ejpam-4765	351	1	term	term	PROPN
ejpam-4765	351	2	tn,1	tn,1	PROPN
ejpam-4765	351	3	.	.	PUNCT
ejpam-4765	352	1	according	accord	VERB
ejpam-4765	352	2	to	to	ADP
ejpam-4765	352	3	[	[	X
ejpam-4765	352	4	10	10	NUM
ejpam-4765	352	5	]	]	PUNCT
ejpam-4765	352	6	theorem	theorem	NOUN
ejpam-4765	352	7	2.3.9	2.3.9	NUM
ejpam-4765	352	8	)	)	PUNCT
ejpam-4765	352	9	,	,	PUNCT
ejpam-4765	352	10	for	for	ADP
ejpam-4765	352	11	any	any	DET
ejpam-4765	352	12	δ	δ	PROPN
ejpam-4765	352	13	>	>	X
ejpam-4765	352	14	0	0	PROPN
ejpam-4765	352	15	,	,	PUNCT
ejpam-4765	352	16	we	we	PRON
ejpam-4765	352	17	have	have	VERB
ejpam-4765	352	18	√	√	NUM
ejpam-4765	352	19	k	k	NOUN
ejpam-4765	352	20	(	(	PUNCT
ejpam-4765	352	21	u	u	NOUN
ejpam-4765	352	22	(	(	PUNCT
ejpam-4765	352	23	yn−k	yn−k	PROPN
ejpam-4765	352	24	,	,	PUNCT
ejpam-4765	352	25	n	n	CCONJ
ejpam-4765	352	26	)	)	PUNCT
ejpam-4765	352	27	u(n	u(n	PROPN
ejpam-4765	352	28	/	/	SYM
ejpam-4765	352	29	k	k	NOUN
ejpam-4765	352	30	)	)	PUNCT
ejpam-4765	352	31	−	−	PROPN
ejpam-4765	353	1	(	(	PUNCT
ejpam-4765	353	2	k	k	NOUN
ejpam-4765	353	3	n	n	X
ejpam-4765	353	4	yn−k	yn−k	PROPN
ejpam-4765	353	5	,	,	PUNCT
ejpam-4765	353	6	n	n	NOUN
ejpam-4765	353	7	)	)	PUNCT
ejpam-4765	353	8	γ	γ	X
ejpam-4765	353	9	)	)	PUNCT
ejpam-4765	353	10	=	=	PUNCT
ejpam-4765	354	1	√	√	PROPN
ejpam-4765	354	2	k	k	NOUN
ejpam-4765	354	3	a	a	PRON
ejpam-4765	354	4	(	(	PUNCT
ejpam-4765	354	5	n	n	X
ejpam-4765	354	6	k	k	NOUN
ejpam-4765	354	7	)	)	PUNCT
ejpam-4765	354	8	{	{	PUNCT
ejpam-4765	354	9	(	(	PUNCT
ejpam-4765	354	10	k	k	NOUN
ejpam-4765	354	11	n	n	PRON
ejpam-4765	354	12	yn−k	yn−k	PROPN
ejpam-4765	354	13	,	,	PUNCT
ejpam-4765	354	14	n	n	CCONJ
ejpam-4765	354	15	)	)	PUNCT
ejpam-4765	354	16	γ	γ	X
ejpam-4765	354	17	(	(	PUNCT
ejpam-4765	354	18	k	k	X
ejpam-4765	354	19	nyn−k	nyn−k	PROPN
ejpam-4765	354	20	,	,	PUNCT
ejpam-4765	354	21	n	n	CCONJ
ejpam-4765	354	22	)	)	PUNCT
ejpam-4765	354	23	ρ	ρ	NOUN
ejpam-4765	354	24	−	−	PROPN
ejpam-4765	354	25	1	1	NUM
ejpam-4765	354	26	ρ	ρ	NOUN
ejpam-4765	354	27	+	+	CCONJ
ejpam-4765	354	28	op(1	op(1	NOUN
ejpam-4765	354	29	)	)	PUNCT
ejpam-4765	354	30	(	(	PUNCT
ejpam-4765	354	31	k	k	NOUN
ejpam-4765	354	32	n	n	X
ejpam-4765	354	33	yn−k	yn−k	PROPN
ejpam-4765	354	34	,	,	PUNCT
ejpam-4765	354	35	n	n	CCONJ
ejpam-4765	354	36	)	)	PUNCT
ejpam-4765	354	37	γ+ρ±δ	γ+ρ±δ	NOUN
ejpam-4765	354	38	}	}	PUNCT
ejpam-4765	354	39	,	,	PUNCT
ejpam-4765	354	40	m.	m.	NOUN
ejpam-4765	354	41	kebe	kebe	PROPN
ejpam-4765	354	42	et	et	PROPN
ejpam-4765	354	43	al	al	PROPN
ejpam-4765	354	44	.	.	PUNCT
ejpam-4765	354	45	/	/	SYM
ejpam-4765	354	46	eur	eur	PROPN
ejpam-4765	354	47	.	.	PUNCT
ejpam-4765	355	1	j.	j.	PROPN
ejpam-4765	355	2	pure	pure	PROPN
ejpam-4765	355	3	appl	appl	PROPN
ejpam-4765	355	4	.	.	PROPN
ejpam-4765	355	5	math	math	PROPN
ejpam-4765	355	6	,	,	PUNCT
ejpam-4765	355	7	16	16	NUM
ejpam-4765	355	8	(	(	PUNCT
ejpam-4765	355	9	4	4	NUM
ejpam-4765	355	10	)	)	PUNCT
ejpam-4765	355	11	(	(	PUNCT
ejpam-4765	355	12	2023	2023	NUM
ejpam-4765	355	13	)	)	PUNCT
ejpam-4765	355	14	,	,	PUNCT
ejpam-4765	355	15	2509	2509	NUM
ejpam-4765	355	16	-	-	SYM
ejpam-4765	355	17	2543	2543	NUM
ejpam-4765	355	18	2524	2524	NUM
ejpam-4765	355	19	thus	thus	ADV
ejpam-4765	355	20	,	,	PUNCT
ejpam-4765	355	21	since	since	SCONJ
ejpam-4765	355	22	kyn−k	kyn−k	PROPN
ejpam-4765	355	23	,	,	PUNCT
ejpam-4765	355	24	n	n	CCONJ
ejpam-4765	355	25	/	/	SYM
ejpam-4765	355	26	n	n	PROPN
ejpam-4765	355	27	→	→	SYM
ejpam-4765	355	28	1	1	NUM
ejpam-4765	355	29	,	,	PUNCT
ejpam-4765	355	30	√	√	PROPN
ejpam-4765	355	31	k	k	PROPN
ejpam-4765	355	32	a(n	a(n	PROPN
ejpam-4765	355	33	/	/	SYM
ejpam-4765	355	34	k	k	NOUN
ejpam-4765	355	35	)	)	PUNCT
ejpam-4765	355	36	→	→	PUNCT
ejpam-4765	355	37	λ	λ	X
ejpam-4765	355	38	∈	∈	NOUN
ejpam-4765	355	39	r	r	NOUN
ejpam-4765	355	40	and	and	CCONJ
ejpam-4765	355	41	γ̂	γ̂	NUM
ejpam-4765	355	42	(	(	PUNCT
ejpam-4765	355	43	k	k	NOUN
ejpam-4765	355	44	)	)	PUNCT
ejpam-4765	355	45	n	n	CCONJ
ejpam-4765	355	46	,	,	PUNCT
ejpam-4765	355	47	k	k	PROPN
ejpam-4765	355	48	p→	p→	PROPN
ejpam-4765	355	49	γ	γ	PROPN
ejpam-4765	355	50	,	,	PUNCT
ejpam-4765	355	51	as	as	ADP
ejpam-4765	355	52	n	n	NUM
ejpam-4765	355	53	→	→	SYM
ejpam-4765	355	54	∞	∞	PROPN
ejpam-4765	356	1	,	,	PUNCT
ejpam-4765	356	2	it	it	PRON
ejpam-4765	356	3	readily	readily	ADV
ejpam-4765	356	4	follows	follow	VERB
ejpam-4765	356	5	that	that	SCONJ
ejpam-4765	356	6	tn,1	tn,1	PROPN
ejpam-4765	356	7	=	=	PROPN
ejpam-4765	356	8	op(1	op(1	PROPN
ejpam-4765	356	9	)	)	PUNCT
ejpam-4765	356	10	.	.	PUNCT
ejpam-4765	357	1	(	(	PUNCT
ejpam-4765	357	2	32	32	NUM
ejpam-4765	357	3	)	)	PUNCT
ejpam-4765	357	4	term	term	NOUN
ejpam-4765	357	5	tn,2	tn,2	PROPN
ejpam-4765	357	6	.	.	PUNCT
ejpam-4765	358	1	the	the	DET
ejpam-4765	358	2	equality	equality	NOUN
ejpam-4765	358	3	yn−k	yn−k	PROPN
ejpam-4765	358	4	,	,	PUNCT
ejpam-4765	358	5	n	n	PROPN
ejpam-4765	358	6	d	d	NOUN
ejpam-4765	358	7	=	=	SYM
ejpam-4765	358	8	(	(	PUNCT
ejpam-4765	358	9	1	1	NUM
ejpam-4765	358	10	−	−	PROPN
ejpam-4765	358	11	ξn−k	ξn−k	NOUN
ejpam-4765	358	12	,	,	PUNCT
ejpam-4765	358	13	n)−1	n)−1	NOUN
ejpam-4765	358	14	yields	yield	NOUN
ejpam-4765	358	15	√	√	NOUN
ejpam-4765	358	16	k	k	PROPN
ejpam-4765	359	1	[	[	X
ejpam-4765	359	2	(	(	PUNCT
ejpam-4765	359	3	k	k	NOUN
ejpam-4765	359	4	n	n	PRON
ejpam-4765	359	5	yn−k	yn−k	PROPN
ejpam-4765	359	6	,	,	PUNCT
ejpam-4765	359	7	n	n	CCONJ
ejpam-4765	359	8	)	)	PUNCT
ejpam-4765	359	9	γ	γ	NOUN
ejpam-4765	359	10	−	−	PROPN
ejpam-4765	359	11	1	1	NUM
ejpam-4765	359	12	]	]	PUNCT
ejpam-4765	359	13	d	d	X
ejpam-4765	359	14	=	=	PUNCT
ejpam-4765	359	15	√	√	PROPN
ejpam-4765	359	16	k	k	NOUN
ejpam-4765	359	17	(	(	PUNCT
ejpam-4765	359	18	(	(	PUNCT
ejpam-4765	359	19	n	n	X
ejpam-4765	359	20	k	k	X
ejpam-4765	359	21	(	(	PUNCT
ejpam-4765	359	22	1	1	NUM
ejpam-4765	359	23	−	−	PROPN
ejpam-4765	359	24	ξn−k	ξn−k	NOUN
ejpam-4765	359	25	,	,	PUNCT
ejpam-4765	359	26	n	n	CCONJ
ejpam-4765	359	27	)	)	PUNCT
ejpam-4765	359	28	)	)	PUNCT
ejpam-4765	360	1	−γ	−γ	ADP
ejpam-4765	360	2	−	−	NOUN
ejpam-4765	360	3	1	1	NUM
ejpam-4765	360	4	)	)	PUNCT
ejpam-4765	360	5	=	=	SYM
ejpam-4765	361	1	−γ	−γ	NOUN
ejpam-4765	361	2	√	√	NUM
ejpam-4765	361	3	k	k	PROPN
ejpam-4765	362	1	(	(	PUNCT
ejpam-4765	362	2	n	n	X
ejpam-4765	362	3	k	k	X
ejpam-4765	362	4	(	(	PUNCT
ejpam-4765	362	5	1	1	NUM
ejpam-4765	362	6	−	−	PROPN
ejpam-4765	362	7	ξn−k	ξn−k	NOUN
ejpam-4765	362	8	,	,	PUNCT
ejpam-4765	362	9	n	n	CCONJ
ejpam-4765	362	10	)	)	PUNCT
ejpam-4765	362	11	−	−	PROPN
ejpam-4765	362	12	1	1	NUM
ejpam-4765	362	13	)	)	PUNCT
ejpam-4765	362	14	(	(	PUNCT
ejpam-4765	362	15	1	1	NUM
ejpam-4765	362	16	+	+	CCONJ
ejpam-4765	362	17	op(1	op(1	NOUN
ejpam-4765	362	18	)	)	PUNCT
ejpam-4765	362	19	)	)	PUNCT
ejpam-4765	362	20	by	by	ADP
ejpam-4765	362	21	a	a	DET
ejpam-4765	362	22	taylor	taylor	PROPN
ejpam-4765	362	23	expansion	expansion	NOUN
ejpam-4765	362	24	=	=	PUNCT
ejpam-4765	362	25	−γ	−γ	NOUN
ejpam-4765	362	26	√	√	NUM
ejpam-4765	362	27	n	n	CCONJ
ejpam-4765	362	28	k	k	ADJ
ejpam-4765	362	29	βn	βn	PROPN
ejpam-4765	363	1	(	(	PUNCT
ejpam-4765	363	2	1	1	NUM
ejpam-4765	363	3	−	−	PROPN
ejpam-4765	363	4	k	k	PROPN
ejpam-4765	363	5	n	n	PROPN
ejpam-4765	363	6	)	)	PUNCT
ejpam-4765	363	7	(	(	PUNCT
ejpam-4765	363	8	1	1	NUM
ejpam-4765	363	9	+	+	CCONJ
ejpam-4765	363	10	op(1	op(1	NOUN
ejpam-4765	363	11	)	)	PUNCT
ejpam-4765	363	12	)	)	PUNCT
ejpam-4765	364	1	=	=	PUNCT
ejpam-4765	364	2	−γ	−γ	NOUN
ejpam-4765	364	3	√	√	NUM
ejpam-4765	364	4	n	n	CCONJ
ejpam-4765	364	5	k	k	PROPN
ejpam-4765	364	6	(	(	PUNCT
ejpam-4765	364	7	bn	bn	INTJ
ejpam-4765	364	8	(	(	PUNCT
ejpam-4765	364	9	1	1	NUM
ejpam-4765	364	10	−	−	PROPN
ejpam-4765	364	11	k	k	PROPN
ejpam-4765	364	12	n	n	PROPN
ejpam-4765	364	13	)	)	PUNCT
ejpam-4765	364	14	+	+	CCONJ
ejpam-4765	364	15	op(n−ν	op(n−ν	PROPN
ejpam-4765	364	16	)	)	PUNCT
ejpam-4765	364	17	(	(	PUNCT
ejpam-4765	364	18	k	k	NOUN
ejpam-4765	364	19	n	n	PROPN
ejpam-4765	364	20	)	)	PUNCT
ejpam-4765	364	21	1/2−ν	1/2−ν	NUM
ejpam-4765	364	22	)	)	PUNCT
ejpam-4765	364	23	(	(	PUNCT
ejpam-4765	364	24	1	1	NUM
ejpam-4765	364	25	+	+	CCONJ
ejpam-4765	364	26	op(1	op(1	NOUN
ejpam-4765	364	27	)	)	PUNCT
ejpam-4765	364	28	)	)	PUNCT
ejpam-4765	364	29	,	,	PUNCT
ejpam-4765	364	30	for	for	ADP
ejpam-4765	364	31	0	0	NUM
ejpam-4765	364	32	≤	≤	NUM
ejpam-4765	364	33	ν	ν	ADP
ejpam-4765	364	34	<	<	X
ejpam-4765	364	35	1/2	1/2	NUM
ejpam-4765	364	36	,	,	PUNCT
ejpam-4765	364	37	by	by	ADP
ejpam-4765	364	38	[	[	X
ejpam-4765	364	39	8	8	NUM
ejpam-4765	364	40	]	]	PUNCT
ejpam-4765	364	41	.	.	PUNCT
ejpam-4765	365	1	thus	thus	ADV
ejpam-4765	365	2	,	,	PUNCT
ejpam-4765	365	3	using	use	VERB
ejpam-4765	365	4	again	again	ADV
ejpam-4765	365	5	the	the	DET
ejpam-4765	365	6	fact	fact	NOUN
ejpam-4765	365	7	that	that	SCONJ
ejpam-4765	365	8	γ̂	γ̂	PUNCT
ejpam-4765	365	9	(	(	PUNCT
ejpam-4765	365	10	k	k	NOUN
ejpam-4765	365	11	)	)	PUNCT
ejpam-4765	365	12	n	n	CCONJ
ejpam-4765	365	13	,	,	PUNCT
ejpam-4765	365	14	k	k	PROPN
ejpam-4765	365	15	p→	p→	PROPN
ejpam-4765	365	16	γ	γ	PROPN
ejpam-4765	365	17	,	,	PUNCT
ejpam-4765	365	18	it	it	PRON
ejpam-4765	365	19	follows	follow	VERB
ejpam-4765	365	20	that	that	SCONJ
ejpam-4765	365	21	tn,2	tn,2	PROPN
ejpam-4765	365	22	d	d	PROPN
ejpam-4765	365	23	=	=	PUNCT
ejpam-4765	365	24	−	−	PROPN
ejpam-4765	365	25	γ	γ	X
ejpam-4765	365	26	l(q	l(q	PROPN
ejpam-4765	365	27	,	,	PUNCT
ejpam-4765	365	28	α)(1	α)(1	PROPN
ejpam-4765	365	29	−	−	PROPN
ejpam-4765	365	30	γ	γ	X
ejpam-4765	365	31	)	)	PUNCT
ejpam-4765	365	32	√	√	PROPN
ejpam-4765	365	33	n	n	CCONJ
ejpam-4765	365	34	k	k	PROPN
ejpam-4765	365	35	bn	bn	PROPN
ejpam-4765	365	36	(	(	PUNCT
ejpam-4765	365	37	1	1	NUM
ejpam-4765	365	38	−	−	PROPN
ejpam-4765	365	39	k	k	PROPN
ejpam-4765	365	40	n	n	PROPN
ejpam-4765	365	41	)	)	PUNCT
ejpam-4765	365	42	(	(	PUNCT
ejpam-4765	365	43	1	1	NUM
ejpam-4765	365	44	+	+	CCONJ
ejpam-4765	365	45	op(1	op(1	NOUN
ejpam-4765	365	46	)	)	PUNCT
ejpam-4765	365	47	)	)	PUNCT
ejpam-4765	366	1	=	=	SYM
ejpam-4765	366	2	wn	wn	PROPN
ejpam-4765	366	3	,	,	PUNCT
ejpam-4765	366	4	α,2	α,2	NUM
ejpam-4765	366	5	+	+	CCONJ
ejpam-4765	366	6	op(1	op(1	NOUN
ejpam-4765	366	7	)	)	PUNCT
ejpam-4765	366	8	.	.	PUNCT
ejpam-4765	367	1	(	(	PUNCT
ejpam-4765	367	2	33	33	NUM
ejpam-4765	367	3	)	)	PUNCT
ejpam-4765	367	4	term	term	NOUN
ejpam-4765	367	5	tn,3	tn,3	PROPN
ejpam-4765	367	6	.	.	PUNCT
ejpam-4765	368	1	by	by	ADP
ejpam-4765	368	2	using	use	VERB
ejpam-4765	368	3	again	again	ADV
ejpam-4765	368	4	the	the	DET
ejpam-4765	368	5	weak	weak	ADJ
ejpam-4765	368	6	consistency	consistency	NOUN
ejpam-4765	368	7	of	of	ADP
ejpam-4765	368	8	γ̂	γ̂	PROPN
ejpam-4765	368	9	(	(	PUNCT
ejpam-4765	368	10	k	k	NOUN
ejpam-4765	368	11	)	)	PUNCT
ejpam-4765	368	12	n	n	CCONJ
ejpam-4765	368	13	,	,	PUNCT
ejpam-4765	368	14	k	k	PROPN
ejpam-4765	368	15	to	to	ADP
ejpam-4765	368	16	γ	γ	PROPN
ejpam-4765	368	17	and	and	CCONJ
ejpam-4765	368	18	the	the	DET
ejpam-4765	368	19	equation	equation	NOUN
ejpam-4765	368	20	31	31	NUM
ejpam-4765	368	21	,	,	PUNCT
ejpam-4765	368	22	we	we	PRON
ejpam-4765	368	23	get	get	VERB
ejpam-4765	368	24	tn,3	tn,3	PROPN
ejpam-4765	368	25	d	d	NOUN
ejpam-4765	368	26	=	=	SYM
ejpam-4765	368	27	1	1	NUM
ejpam-4765	368	28	l(q	l(q	PROPN
ejpam-4765	368	29	,	,	PUNCT
ejpam-4765	368	30	α)(1	α)(1	X
ejpam-4765	369	1	−	−	PROPN
ejpam-4765	369	2	γ)2	γ)2	NOUN
ejpam-4765	369	3	{	{	PUNCT
ejpam-4765	369	4	√	√	PROPN
ejpam-4765	369	5	k	k	PROPN
ejpam-4765	369	6	a	a	X
ejpam-4765	369	7	(	(	PUNCT
ejpam-4765	369	8	n	n	CCONJ
ejpam-4765	369	9	/	/	SYM
ejpam-4765	369	10	k	k	NOUN
ejpam-4765	369	11	)	)	PUNCT
ejpam-4765	369	12	∫	∫	PROPN
ejpam-4765	369	13	1	1	NUM
ejpam-4765	369	14	0	0	NUM
ejpam-4765	369	15	s−1k(s)ds	s−1k(s)ds	NOUN
ejpam-4765	369	16	+	+	CCONJ
ejpam-4765	369	17	γ	γ	X
ejpam-4765	369	18	√	√	PROPN
ejpam-4765	369	19	n	n	CCONJ
ejpam-4765	369	20	k	k	NOUN
ejpam-4765	369	21	∫	∫	PROPN
ejpam-4765	369	22	1	1	NUM
ejpam-4765	369	23	0	0	NUM
ejpam-4765	369	24	s−1bn	s−1bn	NOUN
ejpam-4765	369	25	(	(	PUNCT
ejpam-4765	369	26	1	1	NUM
ejpam-4765	369	27	−	−	PROPN
ejpam-4765	369	28	s	s	PART
ejpam-4765	369	29	k	k	PROPN
ejpam-4765	369	30	n	n	PROPN
ejpam-4765	369	31	)	)	PUNCT
ejpam-4765	369	32	d	d	NOUN
ejpam-4765	369	33	(	(	PUNCT
ejpam-4765	369	34	sk(s	sk(s	NUM
ejpam-4765	369	35	)	)	PUNCT
ejpam-4765	369	36	)	)	PUNCT
ejpam-4765	369	37	}	}	PUNCT
ejpam-4765	370	1	+	+	CCONJ
ejpam-4765	370	2	op(1	op(1	PRON
ejpam-4765	370	3	)	)	PUNCT
ejpam-4765	370	4	=	=	SYM
ejpam-4765	370	5	1	1	NUM
ejpam-4765	370	6	l(q	l(q	PROPN
ejpam-4765	370	7	,	,	PUNCT
ejpam-4765	370	8	α	α	X
ejpam-4765	370	9	)	)	PUNCT
ejpam-4765	370	10	(	(	PUNCT
ejpam-4765	370	11	1	1	NUM
ejpam-4765	370	12	−	−	NOUN
ejpam-4765	370	13	γ)2	γ)2	NOUN
ejpam-4765	371	1	√	√	VERB
ejpam-4765	371	2	k	k	NOUN
ejpam-4765	371	3	a	a	X
ejpam-4765	371	4	(	(	PUNCT
ejpam-4765	371	5	n	n	CCONJ
ejpam-4765	371	6	/	/	SYM
ejpam-4765	371	7	k	k	NOUN
ejpam-4765	371	8	)	)	PUNCT
ejpam-4765	371	9	∫	∫	PROPN
ejpam-4765	371	10	1	1	NUM
ejpam-4765	371	11	0	0	NUM
ejpam-4765	371	12	s−1k(s)ds	s−1k(s)ds	NOUN
ejpam-4765	371	13	+	+	CCONJ
ejpam-4765	371	14	wn	wn	PROPN
ejpam-4765	371	15	,	,	PUNCT
ejpam-4765	371	16	α,3	α,3	NUM
ejpam-4765	371	17	+	+	CCONJ
ejpam-4765	371	18	op(1	op(1	NOUN
ejpam-4765	371	19	)	)	PUNCT
ejpam-4765	371	20	.	.	PUNCT
ejpam-4765	372	1	(	(	PUNCT
ejpam-4765	372	2	34	34	NUM
ejpam-4765	372	3	)	)	PUNCT
ejpam-4765	372	4	term	term	NOUN
ejpam-4765	372	5	tn,4	tn,4	PROPN
ejpam-4765	372	6	.	.	PUNCT
ejpam-4765	373	1	a	a	DET
ejpam-4765	373	2	change	change	NOUN
ejpam-4765	373	3	of	of	ADP
ejpam-4765	373	4	variables	variable	NOUN
ejpam-4765	373	5	and	and	CCONJ
ejpam-4765	373	6	an	an	DET
ejpam-4765	373	7	integration	integration	NOUN
ejpam-4765	373	8	by	by	ADP
ejpam-4765	373	9	parts	part	NOUN
ejpam-4765	373	10	yield	yield	VERB
ejpam-4765	373	11	tn,4	tn,4	PROPN
ejpam-4765	373	12	=	=	PUNCT
ejpam-4765	374	1	√	√	PROPN
ejpam-4765	374	2	k	k	SYM
ejpam-4765	374	3	l(q	l(q	PROPN
ejpam-4765	374	4	,	,	PUNCT
ejpam-4765	374	5	α	α	X
ejpam-4765	374	6	)	)	PUNCT
ejpam-4765	374	7	{	{	PUNCT
ejpam-4765	374	8	1	1	NUM
ejpam-4765	374	9	1	1	NUM
ejpam-4765	374	10	−	−	PROPN
ejpam-4765	374	11	γ	γ	NOUN
ejpam-4765	374	12	−	−	PROPN
ejpam-4765	374	13	∫	∫	PROPN
ejpam-4765	374	14	∞	∞	PROPN
ejpam-4765	374	15	1	1	NUM
ejpam-4765	374	16	x−2u(nx	x−2u(nx	NOUN
ejpam-4765	374	17	/	/	SYM
ejpam-4765	374	18	k	k	NOUN
ejpam-4765	374	19	)	)	PUNCT
ejpam-4765	374	20	u(n	u(n	PROPN
ejpam-4765	374	21	/	/	SYM
ejpam-4765	374	22	k	k	NOUN
ejpam-4765	374	23	)	)	PUNCT
ejpam-4765	374	24	dx	dx	PROPN
ejpam-4765	374	25	}	}	PUNCT
ejpam-4765	374	26	=	=	PUNCT
ejpam-4765	375	1	−	−	PROPN
ejpam-4765	375	2	√	√	NUM
ejpam-4765	375	3	k	k	PROPN
ejpam-4765	375	4	l(q	l(q	PROPN
ejpam-4765	375	5	,	,	PUNCT
ejpam-4765	375	6	α	α	X
ejpam-4765	375	7	)	)	PUNCT
ejpam-4765	375	8	∫	∫	PROPN
ejpam-4765	376	1	∞	∞	NUM
ejpam-4765	376	2	1	1	NUM
ejpam-4765	376	3	x−2	x−2	PROPN
ejpam-4765	376	4	(	(	PUNCT
ejpam-4765	376	5	u(nx	u(nx	PROPN
ejpam-4765	376	6	/	/	SYM
ejpam-4765	376	7	k	k	NOUN
ejpam-4765	376	8	)	)	PUNCT
ejpam-4765	376	9	u(n	u(n	PROPN
ejpam-4765	376	10	/	/	SYM
ejpam-4765	376	11	k	k	NOUN
ejpam-4765	376	12	)	)	PUNCT
ejpam-4765	376	13	−	−	PROPN
ejpam-4765	377	1	xγ	xγ	NOUN
ejpam-4765	377	2	)	)	PUNCT
ejpam-4765	377	3	dx	dx	PROPN
ejpam-4765	377	4	.	.	PROPN
ejpam-4765	377	5	theorem	theorem	VERB
ejpam-4765	377	6	2.3.9	2.3.9	NUM
ejpam-4765	377	7	in	in	ADP
ejpam-4765	377	8	[	[	X
ejpam-4765	377	9	10	10	NUM
ejpam-4765	377	10	]	]	PUNCT
ejpam-4765	377	11	entails	entail	VERB
ejpam-4765	377	12	that	that	SCONJ
ejpam-4765	377	13	,	,	PUNCT
ejpam-4765	377	14	for	for	ADP
ejpam-4765	377	15	γ	γ	X
ejpam-4765	377	16	∈	∈	PROPN
ejpam-4765	377	17	(	(	PUNCT
ejpam-4765	377	18	1/2	1/2	NUM
ejpam-4765	377	19	,	,	PUNCT
ejpam-4765	377	20	1	1	NUM
ejpam-4765	377	21	)	)	PUNCT
ejpam-4765	377	22	,	,	PUNCT
ejpam-4765	377	23	tn,4	tn,4	PROPN
ejpam-4765	377	24	=	=	PUNCT
ejpam-4765	378	1	−	−	PROPN
ejpam-4765	378	2	√	√	INTJ
ejpam-4765	378	3	ka	ka	PROPN
ejpam-4765	378	4	(	(	PUNCT
ejpam-4765	378	5	n	n	CCONJ
ejpam-4765	378	6	k	k	PROPN
ejpam-4765	378	7	)	)	PUNCT
ejpam-4765	378	8	l(q	l(q	PROPN
ejpam-4765	378	9	,	,	PUNCT
ejpam-4765	378	10	α	α	NOUN
ejpam-4765	378	11	)	)	PUNCT
ejpam-4765	378	12	∫	∫	PROPN
ejpam-4765	379	1	∞	∞	NUM
ejpam-4765	379	2	1	1	NUM
ejpam-4765	379	3	xγ−2	xγ−2	PROPN
ejpam-4765	379	4	x	x	PUNCT
ejpam-4765	379	5	ρ	ρ	NOUN
ejpam-4765	379	6	−	−	PROPN
ejpam-4765	379	7	1	1	NUM
ejpam-4765	379	8	ρ	ρ	PROPN
ejpam-4765	379	9	dx	dx	PROPN
ejpam-4765	379	10	(	(	PUNCT
ejpam-4765	379	11	1	1	NUM
ejpam-4765	379	12	+	+	CCONJ
ejpam-4765	379	13	op(1	op(1	NOUN
ejpam-4765	379	14	)	)	PUNCT
ejpam-4765	379	15	)	)	PUNCT
ejpam-4765	380	1	=	=	PUNCT
ejpam-4765	380	2	√	√	PROPN
ejpam-4765	380	3	ka	ka	PROPN
ejpam-4765	380	4	(	(	PUNCT
ejpam-4765	380	5	n	n	CCONJ
ejpam-4765	380	6	k	k	PROPN
ejpam-4765	380	7	)	)	PUNCT
ejpam-4765	380	8	l(q	l(q	PROPN
ejpam-4765	380	9	,	,	PUNCT
ejpam-4765	380	10	α	α	NOUN
ejpam-4765	380	11	)	)	PUNCT
ejpam-4765	380	12	1	1	NUM
ejpam-4765	380	13	(	(	PUNCT
ejpam-4765	380	14	1	1	NUM
ejpam-4765	380	15	−	−	NOUN
ejpam-4765	380	16	γ)(γ	γ)(γ	PUNCT
ejpam-4765	381	1	+	+	CCONJ
ejpam-4765	381	2	ρ−	ρ−	NOUN
ejpam-4765	381	3	1	1	NUM
ejpam-4765	381	4	)	)	PUNCT
ejpam-4765	381	5	(	(	PUNCT
ejpam-4765	381	6	1	1	NUM
ejpam-4765	381	7	+	+	CCONJ
ejpam-4765	381	8	op(1	op(1	NOUN
ejpam-4765	381	9	)	)	PUNCT
ejpam-4765	381	10	)	)	PUNCT
ejpam-4765	381	11	.	.	PUNCT
ejpam-4765	382	1	(	(	PUNCT
ejpam-4765	382	2	35	35	NUM
ejpam-4765	382	3	)	)	PUNCT
ejpam-4765	382	4	combining	combine	VERB
ejpam-4765	382	5	(	(	PUNCT
ejpam-4765	382	6	32)-(35	32)-(35	NUM
ejpam-4765	382	7	)	)	PUNCT
ejpam-4765	382	8	,	,	PUNCT
ejpam-4765	382	9	lemma	lemma	PROPN
ejpam-4765	382	10	3	3	NUM
ejpam-4765	382	11	follows	follow	VERB
ejpam-4765	382	12	.	.	PUNCT
ejpam-4765	383	1	m.	m.	NOUN
ejpam-4765	383	2	kebe	kebe	PROPN
ejpam-4765	383	3	et	et	PROPN
ejpam-4765	383	4	al	al	PROPN
ejpam-4765	383	5	.	.	PUNCT
ejpam-4765	383	6	/	/	SYM
ejpam-4765	383	7	eur	eur	PROPN
ejpam-4765	383	8	.	.	PUNCT
ejpam-4765	384	1	j.	j.	PROPN
ejpam-4765	384	2	pure	pure	PROPN
ejpam-4765	384	3	appl	appl	PROPN
ejpam-4765	384	4	.	.	PROPN
ejpam-4765	384	5	math	math	PROPN
ejpam-4765	384	6	,	,	PUNCT
ejpam-4765	384	7	16	16	NUM
ejpam-4765	384	8	(	(	PUNCT
ejpam-4765	384	9	4	4	NUM
ejpam-4765	384	10	)	)	PUNCT
ejpam-4765	384	11	(	(	PUNCT
ejpam-4765	384	12	2023	2023	NUM
ejpam-4765	384	13	)	)	PUNCT
ejpam-4765	384	14	,	,	PUNCT
ejpam-4765	384	15	2509	2509	NUM
ejpam-4765	384	16	-	-	SYM
ejpam-4765	384	17	2543	2543	NUM
ejpam-4765	384	18	2525	2525	NUM
ejpam-4765	384	19	remark	remark	NOUN
ejpam-4765	384	20	1	1	NUM
ejpam-4765	384	21	.	.	PUNCT
ejpam-4765	385	1	since	since	SCONJ
ejpam-4765	385	2	q(1	q(1	PROPN
ejpam-4765	385	3	−	−	PROPN
ejpam-4765	385	4	·	·	PUNCT
ejpam-4765	385	5	)	)	PUNCT
ejpam-4765	385	6	is	be	AUX
ejpam-4765	385	7	a	a	DET
ejpam-4765	385	8	regularly	regularly	ADV
ejpam-4765	385	9	varying	vary	VERB
ejpam-4765	385	10	function	function	NOUN
ejpam-4765	385	11	at	at	ADP
ejpam-4765	385	12	zero	zero	NUM
ejpam-4765	385	13	with	with	ADP
ejpam-4765	385	14	index	index	NOUN
ejpam-4765	385	15	−γ	−γ	NOUN
ejpam-4765	385	16	,	,	PUNCT
ejpam-4765	385	17	then	then	ADV
ejpam-4765	385	18	from	from	ADP
ejpam-4765	385	19	theorem	theorem	NOUN
ejpam-4765	385	20	2.4.1	2.4.1	NUM
ejpam-4765	385	21	in	in	ADP
ejpam-4765	385	22	[	[	X
ejpam-4765	385	23	10	10	NUM
ejpam-4765	385	24	]	]	PUNCT
ejpam-4765	385	25	,	,	PUNCT
ejpam-4765	385	26	xn−k	xn−k	PROPN
ejpam-4765	385	27	,	,	PUNCT
ejpam-4765	385	28	n	n	PROPN
ejpam-4765	385	29	=	=	SYM
ejpam-4765	385	30	q(1−k	q(1−k	NOUN
ejpam-4765	385	31	/	/	SYM
ejpam-4765	385	32	n)(1+op(1	n)(1+op(1	NOUN
ejpam-4765	385	33	)	)	PUNCT
ejpam-4765	385	34	)	)	PUNCT
ejpam-4765	385	35	,	,	PUNCT
ejpam-4765	385	36	as	as	ADP
ejpam-4765	385	37	n	n	PROPN
ejpam-4765	385	38	→	→	SYM
ejpam-4765	385	39	∞	∞	NUM
ejpam-4765	385	40	and	and	CCONJ
ejpam-4765	385	41	(	(	PUNCT
ejpam-4765	385	42	k	k	X
ejpam-4765	385	43	/	/	SYM
ejpam-4765	385	44	n)1/2q(1−	n)1/2q(1−	PROPN
ejpam-4765	385	45	k	k	PROPN
ejpam-4765	385	46	/	/	SYM
ejpam-4765	385	47	n	n	CCONJ
ejpam-4765	385	48	)	)	PUNCT
ejpam-4765	385	49	=	=	SYM
ejpam-4765	385	50	(	(	PUNCT
ejpam-4765	385	51	k	k	NOUN
ejpam-4765	385	52	/	/	SYM
ejpam-4765	385	53	n)1/2−γℓq(k	n)1/2−γℓq(k	NUM
ejpam-4765	385	54	/	/	SYM
ejpam-4765	385	55	n	n	CCONJ
ejpam-4765	385	56	)	)	PUNCT
ejpam-4765	385	57	,	,	PUNCT
ejpam-4765	385	58	for	for	ADP
ejpam-4765	385	59	k	k	PROPN
ejpam-4765	385	60	→	→	SYM
ejpam-4765	385	61	∞	∞	PROPN
ejpam-4765	385	62	,	,	PUNCT
ejpam-4765	385	63	k	k	X
ejpam-4765	385	64	/	/	SYM
ejpam-4765	385	65	n	n	PROPN
ejpam-4765	385	66	→	→	SYM
ejpam-4765	385	67	0	0	NUM
ejpam-4765	385	68	,	,	PUNCT
ejpam-4765	385	69	as	as	ADP
ejpam-4765	385	70	n	n	PROPN
ejpam-4765	385	71	→	→	SYM
ejpam-4765	385	72	∞.	∞.	PROPN
ejpam-4765	385	73	remarking	remark	VERB
ejpam-4765	385	74	that	that	SCONJ
ejpam-4765	385	75	n1/2/(k	n1/2/(k	PROPN
ejpam-4765	385	76	/	/	SYM
ejpam-4765	385	77	n)1/2q(1−	n)1/2q(1−	PROPN
ejpam-4765	385	78	k	k	PROPN
ejpam-4765	385	79	/	/	SYM
ejpam-4765	385	80	n	n	CCONJ
ejpam-4765	385	81	)	)	PUNCT
ejpam-4765	385	82	is	be	AUX
ejpam-4765	385	83	equal	equal	ADJ
ejpam-4765	385	84	to	to	ADP
ejpam-4765	385	85	k1/2/(k	k1/2/(k	X
ejpam-4765	385	86	/	/	SYM
ejpam-4765	385	87	n)1−γℓq(k	n)1−γℓq(k	NOUN
ejpam-4765	385	88	/	/	SYM
ejpam-4765	385	89	n	n	CCONJ
ejpam-4765	385	90	)	)	PUNCT
ejpam-4765	385	91	and	and	CCONJ
ejpam-4765	385	92	since	since	SCONJ
ejpam-4765	385	93	γ	γ	PROPN
ejpam-4765	385	94	∈	∈	PROPN
ejpam-4765	385	95	(	(	PUNCT
ejpam-4765	385	96	1/2	1/2	NUM
ejpam-4765	385	97	,	,	PUNCT
ejpam-4765	385	98	1	1	NUM
ejpam-4765	385	99	)	)	PUNCT
ejpam-4765	385	100	,	,	PUNCT
ejpam-4765	385	101	we	we	PRON
ejpam-4765	385	102	have	have	VERB
ejpam-4765	385	103	from	from	ADP
ejpam-4765	385	104	proposition	proposition	NOUN
ejpam-4765	385	105	1.3.6	1.3.6	NUM
ejpam-4765	385	106	in	in	ADP
ejpam-4765	385	107	[	[	X
ejpam-4765	385	108	5	5	NUM
ejpam-4765	385	109	]	]	PUNCT
ejpam-4765	385	110	,	,	PUNCT
ejpam-4765	385	111	(	(	PUNCT
ejpam-4765	385	112	k	k	X
ejpam-4765	385	113	/	/	SYM
ejpam-4765	385	114	n)1−γℓq(k	n)1−γℓq(k	NOUN
ejpam-4765	385	115	/	/	SYM
ejpam-4765	385	116	n	n	CCONJ
ejpam-4765	385	117	)	)	PUNCT
ejpam-4765	385	118	→	→	SYM
ejpam-4765	385	119	0	0	NUM
ejpam-4765	385	120	,	,	PUNCT
ejpam-4765	385	121	as	as	SCONJ
ejpam-4765	385	122	n	n	PROPN
ejpam-4765	385	123	→	→	SYM
ejpam-4765	385	124	∞.	∞.	PROPN
ejpam-4765	385	125	and	and	CCONJ
ejpam-4765	385	126	the	the	DET
ejpam-4765	385	127	rate	rate	NOUN
ejpam-4765	385	128	of	of	ADP
ejpam-4765	385	129	convergence	convergence	NOUN
ejpam-4765	385	130	in	in	ADP
ejpam-4765	385	131	theorem	theorem	ADJ
ejpam-4765	385	132	1	1	NUM
ejpam-4765	385	133	tends	tend	VERB
ejpam-4765	385	134	to	to	PART
ejpam-4765	385	135	infinity	infinity	VERB
ejpam-4765	385	136	as	as	SCONJ
ejpam-4765	385	137	n	n	PRON
ejpam-4765	385	138	goes	go	VERB
ejpam-4765	385	139	to	to	ADP
ejpam-4765	385	140	infinity	infinity	NOUN
ejpam-4765	385	141	.	.	PUNCT
ejpam-4765	386	1	from	from	ADP
ejpam-4765	386	2	theorem	theorem	ADJ
ejpam-4765	386	3	1	1	NUM
ejpam-4765	386	4	,	,	PUNCT
ejpam-4765	386	5	it	it	PRON
ejpam-4765	386	6	is	be	AUX
ejpam-4765	386	7	clear	clear	ADJ
ejpam-4765	386	8	that	that	SCONJ
ejpam-4765	386	9	the	the	DET
ejpam-4765	386	10	estimator	estimator	NOUN
ejpam-4765	386	11	η̂	η̂	PROPN
ejpam-4765	386	12	(	(	PUNCT
ejpam-4765	386	13	k	k	NOUN
ejpam-4765	386	14	)	)	PUNCT
ejpam-4765	386	15	n	n	CCONJ
ejpam-4765	386	16	,	,	PUNCT
ejpam-4765	386	17	k	k	PROPN
ejpam-4765	386	18	(	(	PUNCT
ejpam-4765	386	19	α	α	NOUN
ejpam-4765	386	20	,	,	PUNCT
ejpam-4765	386	21	β	β	NOUN
ejpam-4765	386	22	)	)	PUNCT
ejpam-4765	386	23	exhibits	exhibit	VERB
ejpam-4765	386	24	a	a	DET
ejpam-4765	386	25	bias	bias	NOUN
ejpam-4765	386	26	due	due	ADP
ejpam-4765	386	27	to	to	ADP
ejpam-4765	386	28	the	the	DET
ejpam-4765	386	29	fact	fact	NOUN
ejpam-4765	386	30	that	that	SCONJ
ejpam-4765	386	31	we	we	PRON
ejpam-4765	386	32	use	use	VERB
ejpam-4765	386	33	in	in	ADP
ejpam-4765	386	34	its	its	PRON
ejpam-4765	386	35	construction	construction	NOUN
ejpam-4765	386	36	a	a	DET
ejpam-4765	386	37	symptomatic	symptomatic	ADJ
ejpam-4765	386	38	estimator	estimator	NOUN
ejpam-4765	386	39	of	of	ADP
ejpam-4765	386	40	q	q	PROPN
ejpam-4765	386	41	(	(	PUNCT
ejpam-4765	386	42	·	·	PUNCT
ejpam-4765	386	43	)	)	PUNCT
ejpam-4765	386	44	derived	derive	VERB
ejpam-4765	386	45	from	from	ADP
ejpam-4765	386	46	the	the	DET
ejpam-4765	386	47	weissman	weissman	PROPN
ejpam-4765	386	48	’s	’s	PART
ejpam-4765	386	49	type	type	NOUN
ejpam-4765	386	50	estimator	estimator	NOUN
ejpam-4765	386	51	q	q	PROPN
ejpam-4765	386	52	(	(	PUNCT
ejpam-4765	386	53	k	k	NOUN
ejpam-4765	386	54	)	)	PUNCT
ejpam-4765	386	55	n	n	CCONJ
ejpam-4765	386	56	,	,	PUNCT
ejpam-4765	386	57	k	k	PROPN
ejpam-4765	386	58	(	(	PUNCT
ejpam-4765	386	59	·	·	PUNCT
ejpam-4765	386	60	)	)	PUNCT
ejpam-4765	386	61	,	,	PUNCT
ejpam-4765	386	62	which	which	PRON
ejpam-4765	386	63	is	be	AUX
ejpam-4765	386	64	known	know	VERB
ejpam-4765	386	65	to	to	PART
ejpam-4765	386	66	have	have	VERB
ejpam-4765	386	67	such	such	DET
ejpam-4765	386	68	a	a	DET
ejpam-4765	386	69	problem	problem	NOUN
ejpam-4765	386	70	.	.	PUNCT
ejpam-4765	387	1	to	to	PART
ejpam-4765	387	2	solve	solve	VERB
ejpam-4765	387	3	this	this	DET
ejpam-4765	387	4	issue	issue	NOUN
ejpam-4765	387	5	,	,	PUNCT
ejpam-4765	387	6	we	we	PRON
ejpam-4765	387	7	propose	propose	VERB
ejpam-4765	387	8	in	in	ADP
ejpam-4765	387	9	the	the	DET
ejpam-4765	387	10	next	next	ADJ
ejpam-4765	387	11	section	section	NOUN
ejpam-4765	387	12	to	to	PART
ejpam-4765	387	13	use	use	VERB
ejpam-4765	387	14	a	a	DET
ejpam-4765	387	15	bias	bias	NOUN
ejpam-4765	387	16	reduction	reduction	NOUN
ejpam-4765	387	17	method	method	NOUN
ejpam-4765	387	18	and	and	CCONJ
ejpam-4765	387	19	to	to	PART
ejpam-4765	387	20	introduce	introduce	VERB
ejpam-4765	387	21	an	an	DET
ejpam-4765	387	22	improved	improved	ADJ
ejpam-4765	387	23	estimator	estimator	NOUN
ejpam-4765	387	24	of	of	ADP
ejpam-4765	387	25	the	the	DET
ejpam-4765	387	26	qsr	qsr	PROPN
ejpam-4765	387	27	index	index	NOUN
ejpam-4765	387	28	η(q	η(q	NOUN
ejpam-4765	387	29	,	,	PUNCT
ejpam-4765	387	30	α	α	NOUN
ejpam-4765	387	31	,	,	PUNCT
ejpam-4765	387	32	β	β	NOUN
ejpam-4765	387	33	)	)	PUNCT
ejpam-4765	387	34	.	.	PUNCT
ejpam-4765	388	1	4.2	4.2	NUM
ejpam-4765	388	2	.	.	PUNCT
ejpam-4765	389	1	reduced	reduce	VERB
ejpam-4765	389	2	bias	bias	NOUN
ejpam-4765	389	3	estimation	estimation	NOUN
ejpam-4765	389	4	of	of	ADP
ejpam-4765	389	5	the	the	DET
ejpam-4765	389	6	qsr	qsr	PROPN
ejpam-4765	389	7	index	index	NOUN
ejpam-4765	389	8	in	in	ADP
ejpam-4765	389	9	this	this	DET
ejpam-4765	389	10	section	section	NOUN
ejpam-4765	389	11	,	,	PUNCT
ejpam-4765	389	12	we	we	PRON
ejpam-4765	389	13	propose	propose	VERB
ejpam-4765	389	14	to	to	PART
ejpam-4765	389	15	substitute	substitute	VERB
ejpam-4765	389	16	in	in	ADP
ejpam-4765	389	17	(	(	PUNCT
ejpam-4765	389	18	13	13	NUM
ejpam-4765	389	19	)	)	PUNCT
ejpam-4765	389	20	,	,	PUNCT
ejpam-4765	389	21	the	the	DET
ejpam-4765	389	22	weissman	weissman	PROPN
ejpam-4765	389	23	’s	’s	PART
ejpam-4765	389	24	estimator	estimator	PROPN
ejpam-4765	389	25	q	q	PROPN
ejpam-4765	389	26	(	(	PUNCT
ejpam-4765	389	27	k	k	NOUN
ejpam-4765	389	28	)	)	PUNCT
ejpam-4765	389	29	n	n	CCONJ
ejpam-4765	389	30	,	,	PUNCT
ejpam-4765	389	31	k	k	PROPN
ejpam-4765	389	32	with	with	ADP
ejpam-4765	389	33	an	an	DET
ejpam-4765	389	34	asymptotically	asymptotically	ADV
ejpam-4765	389	35	unbiased	unbiased	ADJ
ejpam-4765	389	36	estimator	estimator	NOUN
ejpam-4765	389	37	of	of	ADP
ejpam-4765	389	38	the	the	DET
ejpam-4765	389	39	extreme	extreme	ADJ
ejpam-4765	389	40	quantile	quantile	NOUN
ejpam-4765	389	41	.	.	PUNCT
ejpam-4765	390	1	our	our	PRON
ejpam-4765	390	2	approach	approach	NOUN
ejpam-4765	390	3	is	be	AUX
ejpam-4765	390	4	similar	similar	ADJ
ejpam-4765	390	5	to	to	ADP
ejpam-4765	390	6	the	the	DET
ejpam-4765	390	7	bias	bias	NOUN
ejpam-4765	390	8	reduction	reduction	NOUN
ejpam-4765	390	9	procedure	procedure	NOUN
ejpam-4765	390	10	introduced	introduce	VERB
ejpam-4765	390	11	in	in	ADP
ejpam-4765	390	12	[	[	X
ejpam-4765	390	13	19	19	NUM
ejpam-4765	390	14	]	]	PUNCT
ejpam-4765	390	15	and	and	CCONJ
ejpam-4765	390	16	[	[	X
ejpam-4765	390	17	26	26	NUM
ejpam-4765	390	18	]	]	PUNCT
ejpam-4765	390	19	.	.	PUNCT
ejpam-4765	391	1	in	in	ADP
ejpam-4765	391	2	order	order	NOUN
ejpam-4765	391	3	to	to	PART
ejpam-4765	391	4	find	find	VERB
ejpam-4765	391	5	an	an	DET
ejpam-4765	391	6	asymptotically	asymptotically	ADV
ejpam-4765	391	7	unbiased	unbiased	ADJ
ejpam-4765	391	8	estimator	estimator	NOUN
ejpam-4765	391	9	of	of	ADP
ejpam-4765	391	10	the	the	DET
ejpam-4765	391	11	extreme	extreme	ADJ
ejpam-4765	391	12	quantile	quantile	NOUN
ejpam-4765	391	13	,	,	PUNCT
ejpam-4765	391	14	we	we	PRON
ejpam-4765	391	15	use	use	VERB
ejpam-4765	391	16	the	the	DET
ejpam-4765	391	17	second	second	ADJ
ejpam-4765	391	18	order	order	NOUN
ejpam-4765	391	19	condition	condition	NOUN
ejpam-4765	391	20	(	(	PUNCT
ejpam-4765	391	21	ru	ru	NOUN
ejpam-4765	391	22	)	)	PUNCT
ejpam-4765	391	23	,	,	PUNCT
ejpam-4765	391	24	for	for	ADP
ejpam-4765	391	25	which	which	PRON
ejpam-4765	391	26	the	the	DET
ejpam-4765	391	27	following	follow	VERB
ejpam-4765	391	28	approximation	approximation	NOUN
ejpam-4765	391	29	holds	hold	VERB
ejpam-4765	391	30	:	:	PUNCT
ejpam-4765	391	31	q(u	q(u	X
ejpam-4765	391	32	)	)	PUNCT
ejpam-4765	392	1	≈	≈	PROPN
ejpam-4765	392	2	(	(	PUNCT
ejpam-4765	392	3	n	n	NOUN
ejpam-4765	392	4	k	k	X
ejpam-4765	392	5	(	(	PUNCT
ejpam-4765	392	6	1	1	NUM
ejpam-4765	392	7	−	−	PROPN
ejpam-4765	392	8	u	u	NOUN
ejpam-4765	392	9	)	)	PUNCT
ejpam-4765	392	10	)	)	PUNCT
ejpam-4765	392	11	−γ	−γ	ADP
ejpam-4765	392	12	q(1	q(1	PROPN
ejpam-4765	393	1	−	−	PROPN
ejpam-4765	393	2	k	k	NOUN
ejpam-4765	393	3	/	/	SYM
ejpam-4765	393	4	n	n	CCONJ
ejpam-4765	393	5	)	)	PUNCT
ejpam-4765	393	6	{	{	PUNCT
ejpam-4765	393	7	1	1	NUM
ejpam-4765	393	8	−	−	NOUN
ejpam-4765	393	9	a(n	a(n	NOUN
ejpam-4765	393	10	/	/	SYM
ejpam-4765	393	11	k	k	PROPN
ejpam-4765	393	12	)	)	PUNCT
ejpam-4765	393	13	ρ	ρ	PROPN
ejpam-4765	393	14	[	[	PUNCT
ejpam-4765	393	15	1	1	NUM
ejpam-4765	393	16	−	−	PROPN
ejpam-4765	393	17	(	(	PUNCT
ejpam-4765	393	18	n	n	X
ejpam-4765	393	19	k	k	X
ejpam-4765	393	20	(	(	PUNCT
ejpam-4765	393	21	1	1	NUM
ejpam-4765	393	22	−	−	PROPN
ejpam-4765	393	23	u	u	NOUN
ejpam-4765	393	24	)	)	PUNCT
ejpam-4765	393	25	)	)	PUNCT
ejpam-4765	393	26	−ρ	−ρ	NOUN
ejpam-4765	393	27	]	]	PUNCT
ejpam-4765	393	28	}	}	PUNCT
ejpam-4765	393	29	,	,	PUNCT
ejpam-4765	393	30	u	u	NOUN
ejpam-4765	393	31	→	→	SYM
ejpam-4765	393	32	1	1	NUM
ejpam-4765	393	33	,	,	PUNCT
ejpam-4765	393	34	(	(	PUNCT
ejpam-4765	393	35	36	36	NUM
ejpam-4765	393	36	)	)	PUNCT
ejpam-4765	393	37	where	where	SCONJ
ejpam-4765	393	38	γ	γ	X
ejpam-4765	393	39	,	,	PUNCT
ejpam-4765	393	40	a	a	PRON
ejpam-4765	393	41	(	(	PUNCT
ejpam-4765	393	42	·	·	PUNCT
ejpam-4765	393	43	)	)	PUNCT
ejpam-4765	393	44	and	and	CCONJ
ejpam-4765	393	45	ρ	ρ	PROPN
ejpam-4765	393	46	are	be	AUX
ejpam-4765	393	47	unknown	unknown	ADJ
ejpam-4765	393	48	.	.	PUNCT
ejpam-4765	394	1	the	the	DET
ejpam-4765	394	2	first	first	ADJ
ejpam-4765	394	3	part	part	NOUN
ejpam-4765	394	4	(	(	PUNCT
ejpam-4765	394	5	n	n	NOUN
ejpam-4765	394	6	k	k	X
ejpam-4765	394	7	(	(	PUNCT
ejpam-4765	394	8	1	1	NUM
ejpam-4765	394	9	−	−	PROPN
ejpam-4765	394	10	u	u	NOUN
ejpam-4765	394	11	)	)	PUNCT
ejpam-4765	394	12	)	)	PUNCT
ejpam-4765	394	13	−γ	−γ	ADP
ejpam-4765	394	14	q(1	q(1	PROPN
ejpam-4765	394	15	−	−	PROPN
ejpam-4765	394	16	k	k	NOUN
ejpam-4765	394	17	/	/	SYM
ejpam-4765	394	18	n	n	CCONJ
ejpam-4765	394	19	)	)	PUNCT
ejpam-4765	394	20	in	in	ADP
ejpam-4765	394	21	the	the	DET
ejpam-4765	394	22	right	right	ADJ
ejpam-4765	394	23	side	side	NOUN
ejpam-4765	394	24	of	of	ADP
ejpam-4765	394	25	(	(	PUNCT
ejpam-4765	394	26	36	36	NUM
ejpam-4765	394	27	)	)	PUNCT
ejpam-4765	394	28	is	be	AUX
ejpam-4765	394	29	exactly	exactly	ADV
ejpam-4765	394	30	estimated	estimate	VERB
ejpam-4765	394	31	by	by	ADP
ejpam-4765	394	32	the	the	DET
ejpam-4765	394	33	weissman	weissman	PROPN
ejpam-4765	394	34	’s	’s	PART
ejpam-4765	394	35	type	type	PROPN
ejpam-4765	394	36	estimator	estimator	NOUN
ejpam-4765	394	37	q	q	PROPN
ejpam-4765	394	38	(	(	PUNCT
ejpam-4765	394	39	k	k	NOUN
ejpam-4765	394	40	)	)	PUNCT
ejpam-4765	394	41	n	n	CCONJ
ejpam-4765	394	42	,	,	PUNCT
ejpam-4765	394	43	k	k	PROPN
ejpam-4765	394	44	(	(	PUNCT
ejpam-4765	394	45	u	u	NOUN
ejpam-4765	394	46	)	)	PUNCT
ejpam-4765	394	47	and	and	CCONJ
ejpam-4765	394	48	defined	define	VERB
ejpam-4765	394	49	in	in	ADP
ejpam-4765	394	50	(	(	PUNCT
ejpam-4765	394	51	9	9	NUM
ejpam-4765	394	52	)	)	PUNCT
ejpam-4765	394	53	.	.	PUNCT
ejpam-4765	395	1	clearly	clearly	ADV
ejpam-4765	395	2	,	,	PUNCT
ejpam-4765	395	3	the	the	DET
ejpam-4765	395	4	estimator	estimator	NOUN
ejpam-4765	395	5	q	q	PROPN
ejpam-4765	395	6	(	(	PUNCT
ejpam-4765	395	7	k	k	NOUN
ejpam-4765	395	8	)	)	PUNCT
ejpam-4765	395	9	n	n	CCONJ
ejpam-4765	395	10	,	,	PUNCT
ejpam-4765	395	11	k	k	PROPN
ejpam-4765	395	12	exhibits	exhibit	VERB
ejpam-4765	395	13	a	a	DET
ejpam-4765	395	14	potential	potential	ADJ
ejpam-4765	395	15	bias	bias	NOUN
ejpam-4765	395	16	because	because	SCONJ
ejpam-4765	395	17	it	it	PRON
ejpam-4765	395	18	depends	depend	VERB
ejpam-4765	395	19	on	on	ADP
ejpam-4765	395	20	the	the	DET
ejpam-4765	395	21	kernel	kernel	PROPN
ejpam-4765	395	22	type	type	PROPN
ejpam-4765	395	23	estimator	estimator	NOUN
ejpam-4765	395	24	γ̂	γ̂	PROPN
ejpam-4765	396	1	(	(	PUNCT
ejpam-4765	396	2	k	k	NOUN
ejpam-4765	396	3	)	)	PUNCT
ejpam-4765	396	4	n	n	CCONJ
ejpam-4765	396	5	,	,	PUNCT
ejpam-4765	396	6	k	k	PROPN
ejpam-4765	396	7	of	of	ADP
ejpam-4765	396	8	the	the	DET
ejpam-4765	396	9	tail	tail	NOUN
ejpam-4765	396	10	index	index	NOUN
ejpam-4765	396	11	γ	γ	PROPN
ejpam-4765	396	12	,	,	PUNCT
ejpam-4765	396	13	which	which	PRON
ejpam-4765	396	14	from	from	ADP
ejpam-4765	396	15	(	(	PUNCT
ejpam-4765	396	16	16	16	NUM
ejpam-4765	396	17	)	)	PUNCT
ejpam-4765	396	18	has	have	VERB
ejpam-4765	396	19	such	such	ADJ
ejpam-4765	396	20	problem	problem	NOUN
ejpam-4765	396	21	.	.	PUNCT
ejpam-4765	397	1	the	the	DET
ejpam-4765	397	2	expression	expression	NOUN
ejpam-4765	397	3	1	1	NUM
ejpam-4765	397	4	−	−	NOUN
ejpam-4765	397	5	ρ−1a(n	ρ−1a(n	ADV
ejpam-4765	397	6	/	/	SYM
ejpam-4765	397	7	kn)[1	kn)[1	PROPN
ejpam-4765	397	8	−	−	PROPN
ejpam-4765	397	9	(	(	PUNCT
ejpam-4765	397	10	n	n	X
ejpam-4765	397	11	k	k	X
ejpam-4765	397	12	(	(	PUNCT
ejpam-4765	397	13	1	1	NUM
ejpam-4765	397	14	−	−	PROPN
ejpam-4765	397	15	u	u	NOUN
ejpam-4765	397	16	)	)	PUNCT
ejpam-4765	397	17	)	)	PUNCT
ejpam-4765	397	18	−ρ	−ρ	NOUN
ejpam-4765	397	19	]	]	PUNCT
ejpam-4765	397	20	can	can	AUX
ejpam-4765	397	21	be	be	AUX
ejpam-4765	397	22	viewed	view	VERB
ejpam-4765	397	23	as	as	ADP
ejpam-4765	397	24	a	a	DET
ejpam-4765	397	25	correcting	correct	VERB
ejpam-4765	397	26	term	term	NOUN
ejpam-4765	397	27	since	since	SCONJ
ejpam-4765	397	28	a(n	a(n	PROPN
ejpam-4765	397	29	/	/	SYM
ejpam-4765	397	30	kn	kn	PROPN
ejpam-4765	397	31	)	)	PUNCT
ejpam-4765	397	32	tends	tend	VERB
ejpam-4765	397	33	to	to	ADP
ejpam-4765	397	34	0	0	NUM
ejpam-4765	397	35	.	.	PUNCT
ejpam-4765	398	1	this	this	PRON
ejpam-4765	398	2	leads	lead	VERB
ejpam-4765	398	3	to	to	ADP
ejpam-4765	398	4	the	the	DET
ejpam-4765	398	5	necessity	necessity	NOUN
ejpam-4765	398	6	to	to	PART
ejpam-4765	398	7	find	find	VERB
ejpam-4765	398	8	good	good	ADJ
ejpam-4765	398	9	estimators	estimator	NOUN
ejpam-4765	398	10	for	for	ADP
ejpam-4765	398	11	γ	γ	NOUN
ejpam-4765	398	12	,	,	PUNCT
ejpam-4765	398	13	a(n	a(n	NOUN
ejpam-4765	398	14	/	/	SYM
ejpam-4765	398	15	kn	kn	PROPN
ejpam-4765	398	16	)	)	PUNCT
ejpam-4765	398	17	and	and	CCONJ
ejpam-4765	398	18	ρ	ρ	NOUN
ejpam-4765	398	19	.	.	PUNCT
ejpam-4765	399	1	we	we	PRON
ejpam-4765	399	2	first	first	ADV
ejpam-4765	399	3	propose	propose	VERB
ejpam-4765	399	4	to	to	PART
ejpam-4765	399	5	introduce	introduce	VERB
ejpam-4765	399	6	an	an	DET
ejpam-4765	399	7	asymptotically	asymptotically	ADV
ejpam-4765	399	8	unbiased	unbiased	ADJ
ejpam-4765	399	9	estimator	estimator	NOUN
ejpam-4765	399	10	for	for	ADP
ejpam-4765	399	11	γ	γ	NOUN
ejpam-4765	399	12	by	by	ADP
ejpam-4765	399	13	following	follow	VERB
ejpam-4765	399	14	an	an	DET
ejpam-4765	399	15	approach	approach	NOUN
ejpam-4765	399	16	similar	similar	ADJ
ejpam-4765	399	17	to	to	ADP
ejpam-4765	399	18	[	[	X
ejpam-4765	399	19	19	19	NUM
ejpam-4765	399	20	]	]	PUNCT
ejpam-4765	399	21	.	.	PUNCT
ejpam-4765	400	1	to	to	ADP
ejpam-4765	400	2	this	this	DET
ejpam-4765	400	3	end	end	NOUN
ejpam-4765	400	4	,	,	PUNCT
ejpam-4765	400	5	consider	consider	VERB
ejpam-4765	400	6	two	two	NUM
ejpam-4765	400	7	kernel	kernel	NOUN
ejpam-4765	400	8	functions	function	NOUN
ejpam-4765	400	9	k1	k1	NOUN
ejpam-4765	400	10	and	and	CCONJ
ejpam-4765	400	11	k2	k2	ADJ
ejpam-4765	400	12	satisfying	satisfying	NOUN
ejpam-4765	400	13	(	(	PUNCT
ejpam-4765	400	14	k	k	NOUN
ejpam-4765	400	15	)	)	PUNCT
ejpam-4765	400	16	and	and	CCONJ
ejpam-4765	400	17	define	define	VERB
ejpam-4765	400	18	a	a	DET
ejpam-4765	400	19	mixture	mixture	NOUN
ejpam-4765	400	20	of	of	ADP
ejpam-4765	400	21	them	they	PRON
ejpam-4765	400	22	in	in	ADP
ejpam-4765	400	23	the	the	DET
ejpam-4765	400	24	form	form	NOUN
ejpam-4765	400	25	k∆	k∆	PROPN
ejpam-4765	400	26	(	(	PUNCT
ejpam-4765	400	27	s	s	NOUN
ejpam-4765	400	28	)	)	PUNCT
ejpam-4765	400	29	=	=	SYM
ejpam-4765	400	30	∆k1	∆k1	NOUN
ejpam-4765	400	31	(	(	PUNCT
ejpam-4765	400	32	s	s	NOUN
ejpam-4765	400	33	)	)	PUNCT
ejpam-4765	400	34	+	+	CCONJ
ejpam-4765	400	35	(	(	PUNCT
ejpam-4765	400	36	1	1	NUM
ejpam-4765	400	37	−	−	NOUN
ejpam-4765	400	38	∆)k2	∆)k2	NOUN
ejpam-4765	400	39	(	(	PUNCT
ejpam-4765	400	40	s	s	NOUN
ejpam-4765	400	41	)	)	PUNCT
ejpam-4765	400	42	,	,	PUNCT
ejpam-4765	400	43	for	for	SCONJ
ejpam-4765	400	44	∆	∆	PROPN
ejpam-4765	400	45	∈	∈	PROPN
ejpam-4765	400	46	r.	r.	PROPN
ejpam-4765	400	47	clearly	clearly	ADV
ejpam-4765	400	48	k∆	k∆	PROPN
ejpam-4765	400	49	also	also	ADV
ejpam-4765	400	50	satisfies	satisfy	VERB
ejpam-4765	400	51	the	the	DET
ejpam-4765	400	52	condition	condition	NOUN
ejpam-4765	400	53	(	(	PUNCT
ejpam-4765	400	54	k	k	NOUN
ejpam-4765	400	55	)	)	PUNCT
ejpam-4765	400	56	and	and	CCONJ
ejpam-4765	400	57	hence	hence	ADV
ejpam-4765	400	58	by	by	ADP
ejpam-4765	400	59	the	the	DET
ejpam-4765	400	60	result	result	NOUN
ejpam-4765	400	61	given	give	VERB
ejpam-4765	400	62	in	in	ADP
ejpam-4765	400	63	(	(	PUNCT
ejpam-4765	400	64	16	16	NUM
ejpam-4765	400	65	)	)	PUNCT
ejpam-4765	400	66	,	,	PUNCT
ejpam-4765	400	67	the	the	DET
ejpam-4765	400	68	asymptotic	asymptotic	ADJ
ejpam-4765	400	69	bias	bias	NOUN
ejpam-4765	400	70	λ	λ	X
ejpam-4765	400	71	∫	∫	PROPN
ejpam-4765	400	72	1	1	NUM
ejpam-4765	400	73	0	0	NUM
ejpam-4765	400	74	s−ρk∆(s)ds	s−ρk∆(s)ds	PROPN
ejpam-4765	400	75	of	of	ADP
ejpam-4765	400	76	γ̂	γ̂	PROPN
ejpam-4765	400	77	(	(	PUNCT
ejpam-4765	400	78	k∆	k∆	PROPN
ejpam-4765	400	79	)	)	PUNCT
ejpam-4765	400	80	n	n	CCONJ
ejpam-4765	400	81	,	,	PUNCT
ejpam-4765	400	82	k	k	PROPN
ejpam-4765	400	83	is	be	AUX
ejpam-4765	400	84	such	such	ADJ
ejpam-4765	400	85	that	that	SCONJ
ejpam-4765	400	86	λ	λ	PROPN
ejpam-4765	400	87	∫	∫	PROPN
ejpam-4765	400	88	1	1	NUM
ejpam-4765	400	89	0	0	NUM
ejpam-4765	400	90	s−ρk∆(s)ds	s−ρk∆(s)ds	PROPN
ejpam-4765	400	91	=	=	PUNCT
ejpam-4765	401	1	λ∆	λ∆	NOUN
ejpam-4765	401	2	∫	∫	PROPN
ejpam-4765	401	3	1	1	NUM
ejpam-4765	401	4	0	0	NUM
ejpam-4765	401	5	s−ρk1(s)ds	s−ρk1(s)ds	NOUN
ejpam-4765	401	6	+	+	CCONJ
ejpam-4765	402	1	λ(1	λ(1	PROPN
ejpam-4765	402	2	−	−	PROPN
ejpam-4765	402	3	∆	∆	PROPN
ejpam-4765	402	4	)	)	PUNCT
ejpam-4765	402	5	∫	∫	PROPN
ejpam-4765	403	1	1	1	NUM
ejpam-4765	403	2	0	0	NUM
ejpam-4765	403	3	s−ρk2(s)ds	s−ρk2(s)d	NOUN
ejpam-4765	403	4	.	.	PUNCT
ejpam-4765	404	1	equating	equate	VERB
ejpam-4765	404	2	the	the	DET
ejpam-4765	404	3	right	right	ADJ
ejpam-4765	404	4	-	-	PUNCT
ejpam-4765	404	5	hand	hand	NOUN
ejpam-4765	404	6	side	side	NOUN
ejpam-4765	404	7	of	of	ADP
ejpam-4765	404	8	the	the	DET
ejpam-4765	404	9	above	above	ADJ
ejpam-4765	404	10	equation	equation	NOUN
ejpam-4765	404	11	to	to	ADP
ejpam-4765	404	12	zero	zero	NUM
ejpam-4765	404	13	leads	lead	VERB
ejpam-4765	404	14	to	to	ADP
ejpam-4765	404	15	the	the	DET
ejpam-4765	404	16	value	value	NOUN
ejpam-4765	404	17	of	of	ADP
ejpam-4765	404	18	eliminating	eliminate	VERB
ejpam-4765	404	19	m.	m.	NOUN
ejpam-4765	404	20	kebe	kebe	PROPN
ejpam-4765	404	21	et	et	PROPN
ejpam-4765	404	22	al	al	PROPN
ejpam-4765	404	23	.	.	PUNCT
ejpam-4765	404	24	/	/	SYM
ejpam-4765	404	25	eur	eur	PROPN
ejpam-4765	404	26	.	.	PUNCT
ejpam-4765	405	1	j.	j.	PROPN
ejpam-4765	405	2	pure	pure	PROPN
ejpam-4765	405	3	appl	appl	PROPN
ejpam-4765	405	4	.	.	PROPN
ejpam-4765	405	5	math	math	PROPN
ejpam-4765	405	6	,	,	PUNCT
ejpam-4765	405	7	16	16	NUM
ejpam-4765	405	8	(	(	PUNCT
ejpam-4765	405	9	4	4	NUM
ejpam-4765	405	10	)	)	PUNCT
ejpam-4765	405	11	(	(	PUNCT
ejpam-4765	405	12	2023	2023	NUM
ejpam-4765	405	13	)	)	PUNCT
ejpam-4765	405	14	,	,	PUNCT
ejpam-4765	405	15	2509	2509	NUM
ejpam-4765	405	16	-	-	SYM
ejpam-4765	405	17	2543	2543	NUM
ejpam-4765	405	18	2526	2526	NUM
ejpam-4765	405	19	the	the	DET
ejpam-4765	405	20	asymptotic	asymptotic	ADJ
ejpam-4765	405	21	bias	bias	NOUN
ejpam-4765	405	22	∆∗	∆∗	NOUN
ejpam-4765	405	23	=	=	PUNCT
ejpam-4765	405	24	∫	∫	PROPN
ejpam-4765	406	1	1	1	NUM
ejpam-4765	406	2	0	0	NUM
ejpam-4765	406	3	s−ρk2(s)ds∫	s−ρk2(s)ds∫	NUM
ejpam-4765	406	4	1	1	NUM
ejpam-4765	406	5	0	0	NUM
ejpam-4765	406	6	s−ρ	s−ρ	NOUN
ejpam-4765	406	7	{	{	PUNCT
ejpam-4765	406	8	k2(s	k2(s	NOUN
ejpam-4765	406	9	)	)	PUNCT
ejpam-4765	406	10	−k1(s	−k1(	VERB
ejpam-4765	406	11	)	)	PUNCT
ejpam-4765	406	12	}	}	PUNCT
ejpam-4765	406	13	ds	ds	X
ejpam-4765	406	14	,	,	PUNCT
ejpam-4765	406	15	(	(	PUNCT
ejpam-4765	406	16	37	37	NUM
ejpam-4765	406	17	)	)	PUNCT
ejpam-4765	406	18	provided	provide	VERB
ejpam-4765	406	19	∫	∫	PROPN
ejpam-4765	406	20	1	1	NUM
ejpam-4765	406	21	0	0	NUM
ejpam-4765	406	22	s−ρ	s−ρ	NOUN
ejpam-4765	406	23	{	{	PUNCT
ejpam-4765	406	24	k2(s)−k1(s	k2(s)−k1(s	NOUN
ejpam-4765	406	25	)	)	PUNCT
ejpam-4765	406	26	}	}	PUNCT
ejpam-4765	406	27	ds	ds	PRON
ejpam-4765	406	28	̸=	̸=	PROPN
ejpam-4765	406	29	0	0	NUM
ejpam-4765	406	30	.	.	PUNCT
ejpam-4765	407	1	clearly	clearly	ADV
ejpam-4765	407	2	,	,	PUNCT
ejpam-4765	407	3	the	the	DET
ejpam-4765	407	4	tail	tail	NOUN
ejpam-4765	407	5	index	index	NOUN
ejpam-4765	407	6	estimator	estimator	NOUN
ejpam-4765	407	7	γ̂	γ̂	PROPN
ejpam-4765	407	8	(	(	PUNCT
ejpam-4765	407	9	k∆∗	k∆∗	PROPN
ejpam-4765	407	10	)	)	PUNCT
ejpam-4765	407	11	n	n	CCONJ
ejpam-4765	407	12	,	,	PUNCT
ejpam-4765	407	13	k	k	PROPN
ejpam-4765	407	14	is	be	AUX
ejpam-4765	407	15	shown	show	VERB
ejpam-4765	407	16	to	to	PART
ejpam-4765	407	17	be	be	AUX
ejpam-4765	407	18	asymptotically	asymptotically	ADV
ejpam-4765	407	19	unbiased	unbiased	ADJ
ejpam-4765	407	20	in	in	ADP
ejpam-4765	407	21	the	the	DET
ejpam-4765	407	22	sense	sense	NOUN
ejpam-4765	407	23	that	that	SCONJ
ejpam-4765	407	24	the	the	DET
ejpam-4765	407	25	mean	mean	NOUN
ejpam-4765	407	26	of	of	ADP
ejpam-4765	407	27	its	its	PRON
ejpam-4765	407	28	limiting	limit	VERB
ejpam-4765	407	29	distribution	distribution	NOUN
ejpam-4765	407	30	is	be	AUX
ejpam-4765	407	31	zero	zero	NUM
ejpam-4765	407	32	,	,	PUNCT
ejpam-4765	407	33	whatever	whatever	PRON
ejpam-4765	407	34	the	the	DET
ejpam-4765	407	35	value	value	NOUN
ejpam-4765	407	36	of	of	ADP
ejpam-4765	407	37	λ	λ	NOUN
ejpam-4765	407	38	.	.	PUNCT
ejpam-4765	408	1	more	more	ADV
ejpam-4765	408	2	precisely	precisely	ADV
ejpam-4765	408	3	,	,	PUNCT
ejpam-4765	408	4	we	we	PRON
ejpam-4765	408	5	have	have	VERB
ejpam-4765	408	6	from	from	ADP
ejpam-4765	408	7	(	(	PUNCT
ejpam-4765	408	8	16	16	NUM
ejpam-4765	408	9	):	):	PUNCT
ejpam-4765	408	10	k1/2	k1/2	NOUN
ejpam-4765	408	11	(	(	PUNCT
ejpam-4765	408	12	γ̂	γ̂	X
ejpam-4765	408	13	(	(	PUNCT
ejpam-4765	408	14	k∆∗	k∆∗	PROPN
ejpam-4765	408	15	)	)	PUNCT
ejpam-4765	408	16	n	n	CCONJ
ejpam-4765	408	17	,	,	PUNCT
ejpam-4765	408	18	k	k	PROPN
ejpam-4765	408	19	−	−	PROPN
ejpam-4765	408	20	γ	γ	X
ejpam-4765	408	21	)	)	PUNCT
ejpam-4765	408	22	d→	d→	VERB
ejpam-4765	408	23	n	n	X
ejpam-4765	408	24	(	(	PUNCT
ejpam-4765	408	25	0	0	NUM
ejpam-4765	408	26	,	,	PUNCT
ejpam-4765	408	27	γ2	γ2	PROPN
ejpam-4765	408	28	∫	∫	PROPN
ejpam-4765	408	29	1	1	NUM
ejpam-4765	408	30	0	0	NUM
ejpam-4765	408	31	k2	k2	PROPN
ejpam-4765	408	32	∆∗(s)ds	∆∗(s)ds	PROPN
ejpam-4765	408	33	)	)	PUNCT
ejpam-4765	408	34	.	.	PUNCT
ejpam-4765	409	1	(	(	PUNCT
ejpam-4765	409	2	38	38	NUM
ejpam-4765	409	3	)	)	PUNCT
ejpam-4765	409	4	an	an	DET
ejpam-4765	409	5	open	open	ADJ
ejpam-4765	409	6	problem	problem	NOUN
ejpam-4765	409	7	is	be	AUX
ejpam-4765	409	8	to	to	PART
ejpam-4765	409	9	determine	determine	VERB
ejpam-4765	409	10	whether	whether	SCONJ
ejpam-4765	409	11	among	among	ADP
ejpam-4765	409	12	this	this	DET
ejpam-4765	409	13	class	class	NOUN
ejpam-4765	409	14	of	of	ADP
ejpam-4765	409	15	unbiased	unbiased	ADJ
ejpam-4765	409	16	estimators	estimator	NOUN
ejpam-4765	409	17	γ̂	γ̂	PUNCT
ejpam-4765	409	18	(	(	PUNCT
ejpam-4765	409	19	k∆∗	k∆∗	PROPN
ejpam-4765	409	20	)	)	PUNCT
ejpam-4765	409	21	n	n	CCONJ
ejpam-4765	409	22	,	,	PUNCT
ejpam-4765	409	23	k	k	PROPN
ejpam-4765	409	24	,	,	PUNCT
ejpam-4765	409	25	we	we	PRON
ejpam-4765	409	26	can	can	AUX
ejpam-4765	409	27	find	find	VERB
ejpam-4765	409	28	the	the	DET
ejpam-4765	409	29	asymptotically	asymptotically	ADV
ejpam-4765	409	30	unbiased	unbiased	ADJ
ejpam-4765	409	31	estimator	estimator	NOUN
ejpam-4765	409	32	with	with	ADP
ejpam-4765	409	33	minimum	minimum	ADJ
ejpam-4765	409	34	variance	variance	NOUN
ejpam-4765	409	35	.	.	PUNCT
ejpam-4765	410	1	clearly	clearly	ADV
ejpam-4765	410	2	,	,	PUNCT
ejpam-4765	410	3	the	the	DET
ejpam-4765	410	4	asymptotic	asymptotic	ADJ
ejpam-4765	410	5	variance	variance	NOUN
ejpam-4765	410	6	γ2	γ2	PROPN
ejpam-4765	410	7	∫	∫	PROPN
ejpam-4765	410	8	1	1	NUM
ejpam-4765	410	9	0	0	NUM
ejpam-4765	410	10	k2	k2	PROPN
ejpam-4765	410	11	∆∗(s)ds	∆∗(s)ds	PROPN
ejpam-4765	410	12	is	be	AUX
ejpam-4765	410	13	minimal	minimal	ADJ
ejpam-4765	410	14	for	for	ADP
ejpam-4765	410	15	a	a	DET
ejpam-4765	410	16	minimum	minimum	ADJ
ejpam-4765	410	17	value	value	NOUN
ejpam-4765	410	18	of	of	ADP
ejpam-4765	410	19	∫	∫	PROPN
ejpam-4765	410	20	1	1	NUM
ejpam-4765	410	21	0	0	NUM
ejpam-4765	410	22	k2	k2	PROPN
ejpam-4765	410	23	∆∗(s)ds	∆∗(s)ds	PROPN
ejpam-4765	410	24	.	.	PUNCT
ejpam-4765	411	1	according	accord	VERB
ejpam-4765	411	2	to	to	ADP
ejpam-4765	411	3	[	[	X
ejpam-4765	411	4	19	19	NUM
ejpam-4765	411	5	]	]	PUNCT
ejpam-4765	411	6	and	and	CCONJ
ejpam-4765	411	7	[	[	X
ejpam-4765	411	8	13	13	NUM
ejpam-4765	411	9	]	]	PUNCT
ejpam-4765	411	10	,	,	PUNCT
ejpam-4765	411	11	the	the	DET
ejpam-4765	411	12	minimum	minimum	NOUN
ejpam-4765	411	13	of	of	ADP
ejpam-4765	411	14	∫	∫	PROPN
ejpam-4765	411	15	1	1	NUM
ejpam-4765	411	16	0	0	NUM
ejpam-4765	411	17	k2	k2	PROPN
ejpam-4765	411	18	∆∗(s)ds	∆∗(s)ds	PROPN
ejpam-4765	411	19	is	be	AUX
ejpam-4765	411	20	obtained	obtain	VERB
ejpam-4765	411	21	at	at	ADP
ejpam-4765	411	22	the	the	DET
ejpam-4765	411	23	“	"	PUNCT
ejpam-4765	411	24	optimal	optimal	ADJ
ejpam-4765	411	25	”	"	PUNCT
ejpam-4765	411	26	function	function	NOUN
ejpam-4765	411	27	given	give	VERB
ejpam-4765	411	28	by	by	ADP
ejpam-4765	411	29	:	:	PUNCT
ejpam-4765	411	30	k∆∗	k∆∗	PROPN
ejpam-4765	411	31	opt	opt	NOUN
ejpam-4765	411	32	(	(	PUNCT
ejpam-4765	411	33	s	s	X
ejpam-4765	411	34	)	)	PUNCT
ejpam-4765	411	35	=	=	SYM
ejpam-4765	411	36	(	(	PUNCT
ejpam-4765	411	37	1	1	NUM
ejpam-4765	411	38	−	−	PROPN
ejpam-4765	411	39	ρ	ρ	PROPN
ejpam-4765	411	40	ρ	ρ	PROPN
ejpam-4765	411	41	)	)	PUNCT
ejpam-4765	411	42	2	2	NUM
ejpam-4765	411	43	−	−	PROPN
ejpam-4765	411	44	(	(	PUNCT
ejpam-4765	411	45	1	1	NUM
ejpam-4765	411	46	−	−	PROPN
ejpam-4765	411	47	ρ	ρ	PROPN
ejpam-4765	411	48	)	)	PUNCT
ejpam-4765	411	49	(	(	PUNCT
ejpam-4765	411	50	1	1	NUM
ejpam-4765	411	51	−	−	NUM
ejpam-4765	411	52	2ρ	2ρ	NOUN
ejpam-4765	411	53	)	)	PUNCT
ejpam-4765	411	54	ρ2	ρ2	NOUN
ejpam-4765	411	55	s−ρ	s−ρ	NOUN
ejpam-4765	411	56	,	,	PUNCT
ejpam-4765	411	57	for	for	ADP
ejpam-4765	411	58	s	s	PROPN
ejpam-4765	411	59	∈	∈	PROPN
ejpam-4765	411	60	(	(	PUNCT
ejpam-4765	411	61	0	0	NUM
ejpam-4765	411	62	,	,	PUNCT
ejpam-4765	411	63	1	1	NUM
ejpam-4765	411	64	)	)	PUNCT
ejpam-4765	411	65	,	,	PUNCT
ejpam-4765	411	66	(	(	PUNCT
ejpam-4765	411	67	39	39	NUM
ejpam-4765	411	68	)	)	PUNCT
ejpam-4765	411	69	and	and	CCONJ
ejpam-4765	411	70	k∆∗	k∆∗	PROPN
ejpam-4765	411	71	opt	opt	NOUN
ejpam-4765	411	72	(	(	PUNCT
ejpam-4765	411	73	s	s	X
ejpam-4765	411	74	)	)	PUNCT
ejpam-4765	411	75	=	=	SYM
ejpam-4765	411	76	0	0	PUNCT
ejpam-4765	412	1	otherwise	otherwise	ADV
ejpam-4765	412	2	.	.	PUNCT
ejpam-4765	413	1	note	note	VERB
ejpam-4765	413	2	that	that	SCONJ
ejpam-4765	413	3	this	this	DET
ejpam-4765	413	4	unction	unction	NOUN
ejpam-4765	413	5	can	can	AUX
ejpam-4765	413	6	be	be	AUX
ejpam-4765	413	7	viewed	view	VERB
ejpam-4765	413	8	as	as	ADP
ejpam-4765	413	9	a	a	DET
ejpam-4765	413	10	mixture	mixture	NOUN
ejpam-4765	413	11	between	between	ADP
ejpam-4765	413	12	two	two	NUM
ejpam-4765	413	13	power	power	NOUN
ejpam-4765	413	14	kernels	kernel	NOUN
ejpam-4765	413	15	:	:	PUNCT
ejpam-4765	413	16	k1(s	k1(s	NOUN
ejpam-4765	413	17	)	)	PUNCT
ejpam-4765	413	18	:	:	PUNCT
ejpam-4765	413	19	=	=	SYM
ejpam-4765	413	20	k(s	k(s	PROPN
ejpam-4765	413	21	)	)	PUNCT
ejpam-4765	413	22	=	=	SYM
ejpam-4765	414	1	i(0	i(0	PROPN
ejpam-4765	414	2	<	<	NOUN
ejpam-4765	414	3	s<1	s<1	NOUN
ejpam-4765	414	4	)	)	PUNCT
ejpam-4765	414	5	and	and	CCONJ
ejpam-4765	414	6	k2(s	k2(s	NOUN
ejpam-4765	414	7	)	)	PUNCT
ejpam-4765	414	8	:	:	PUNCT
ejpam-4765	415	1	=	=	PUNCT
ejpam-4765	415	2	k2,ρ(s	k2,ρ(s	PROPN
ejpam-4765	415	3	)	)	PUNCT
ejpam-4765	415	4	:	:	PUNCT
ejpam-4765	416	1	=	=	SYM
ejpam-4765	416	2	(	(	PUNCT
ejpam-4765	416	3	1	1	NUM
ejpam-4765	416	4	−	−	PROPN
ejpam-4765	416	5	ρ	ρ	PROPN
ejpam-4765	416	6	)	)	PUNCT
ejpam-4765	416	7	s−ρi(0	s−ρi(0	PROPN
ejpam-4765	416	8	<	<	X
ejpam-4765	416	9	s<1	s<1	NOUN
ejpam-4765	416	10	)	)	PUNCT
ejpam-4765	416	11	and	and	CCONJ
ejpam-4765	416	12	∆∗	∆∗	NOUN
ejpam-4765	416	13	=	=	PUNCT
ejpam-4765	416	14	(	(	PUNCT
ejpam-4765	416	15	1	1	NUM
ejpam-4765	416	16	−	−	NOUN
ejpam-4765	416	17	ρ)2	ρ)2	PROPN
ejpam-4765	416	18	/	/	SYM
ejpam-4765	416	19	ρ2	ρ2	NOUN
ejpam-4765	416	20	is	be	AUX
ejpam-4765	416	21	as	as	ADP
ejpam-4765	416	22	in	in	ADP
ejpam-4765	416	23	(	(	PUNCT
ejpam-4765	416	24	37	37	NUM
ejpam-4765	416	25	)	)	PUNCT
ejpam-4765	416	26	.	.	PUNCT
ejpam-4765	417	1	in	in	ADP
ejpam-4765	417	2	that	that	DET
ejpam-4765	417	3	case	case	NOUN
ejpam-4765	417	4	,	,	PUNCT
ejpam-4765	417	5	the	the	DET
ejpam-4765	417	6	minimal	minimal	ADJ
ejpam-4765	417	7	variance	variance	NOUN
ejpam-4765	417	8	γ2	γ2	PROPN
ejpam-4765	417	9	∫	∫	PROPN
ejpam-4765	417	10	1	1	NUM
ejpam-4765	417	11	0	0	NUM
ejpam-4765	417	12	k2	k2	PROPN
ejpam-4765	417	13	∆∗	∆∗	PROPN
ejpam-4765	417	14	opt	opt	NOUN
ejpam-4765	417	15	(	(	PUNCT
ejpam-4765	417	16	s)ds	s)ds	PROPN
ejpam-4765	417	17	equals	equal	VERB
ejpam-4765	417	18	to	to	PART
ejpam-4765	417	19	γ2(1	γ2(1	VERB
ejpam-4765	417	20	−	−	NOUN
ejpam-4765	417	21	ρ)2	ρ)2	PROPN
ejpam-4765	417	22	/	/	SYM
ejpam-4765	417	23	ρ2	ρ2	NOUN
ejpam-4765	417	24	.	.	PUNCT
ejpam-4765	418	1	from	from	ADP
ejpam-4765	418	2	a	a	DET
ejpam-4765	418	3	practical	practical	ADJ
ejpam-4765	418	4	point	point	NOUN
ejpam-4765	418	5	of	of	ADP
ejpam-4765	418	6	view	view	NOUN
ejpam-4765	418	7	,	,	PUNCT
ejpam-4765	418	8	the	the	DET
ejpam-4765	418	9	unbiased	unbiased	ADJ
ejpam-4765	418	10	tail	tail	NOUN
ejpam-4765	418	11	index	index	NOUN
ejpam-4765	418	12	estimator	estimator	NOUN
ejpam-4765	418	13	with	with	ADP
ejpam-4765	418	14	minimum	minimum	ADJ
ejpam-4765	418	15	variance	variance	NOUN
ejpam-4765	418	16	γ̂	γ̂	PUNCT
ejpam-4765	419	1	(	(	PUNCT
ejpam-4765	419	2	k∆∗	k∆∗	PROPN
ejpam-4765	419	3	opt	opt	NOUN
ejpam-4765	419	4	)	)	PUNCT
ejpam-4765	419	5	n	n	CCONJ
ejpam-4765	419	6	,	,	PUNCT
ejpam-4765	419	7	k	k	PROPN
ejpam-4765	419	8	can	can	AUX
ejpam-4765	419	9	not	not	PART
ejpam-4765	419	10	be	be	AUX
ejpam-4765	419	11	obtained	obtain	VERB
ejpam-4765	419	12	directly	directly	ADV
ejpam-4765	419	13	,	,	PUNCT
ejpam-4765	419	14	since	since	SCONJ
ejpam-4765	419	15	it	it	PRON
ejpam-4765	419	16	depends	depend	VERB
ejpam-4765	419	17	on	on	ADP
ejpam-4765	419	18	the	the	DET
ejpam-4765	419	19	unknown	unknown	ADJ
ejpam-4765	419	20	parameters	parameter	NOUN
ejpam-4765	419	21	and	and	CCONJ
ejpam-4765	419	22	expressions	expression	NOUN
ejpam-4765	419	23	:	:	PUNCT
ejpam-4765	419	24	γ	γ	X
ejpam-4765	419	25	,	,	PUNCT
ejpam-4765	419	26	ρ	ρ	PROPN
ejpam-4765	419	27	,	,	PUNCT
ejpam-4765	419	28	a(n	a(n	NOUN
ejpam-4765	419	29	/	/	SYM
ejpam-4765	419	30	k	k	NOUN
ejpam-4765	419	31	)	)	PUNCT
ejpam-4765	419	32	and	and	CCONJ
ejpam-4765	419	33	k∆∗	k∆∗	PROPN
ejpam-4765	419	34	opt	opt	NOUN
ejpam-4765	419	35	are	be	AUX
ejpam-4765	419	36	unknown	unknown	ADJ
ejpam-4765	419	37	.	.	PUNCT
ejpam-4765	420	1	to	to	PART
ejpam-4765	420	2	solve	solve	VERB
ejpam-4765	420	3	this	this	DET
ejpam-4765	420	4	issue	issue	NOUN
ejpam-4765	420	5	,	,	PUNCT
ejpam-4765	420	6	we	we	PRON
ejpam-4765	420	7	propose	propose	VERB
ejpam-4765	420	8	to	to	PART
ejpam-4765	420	9	replace	replace	VERB
ejpam-4765	420	10	ρ	ρ	NUM
ejpam-4765	420	11	by	by	ADP
ejpam-4765	420	12	ρ̂	ρ̂	NUM
ejpam-4765	420	13	,	,	PUNCT
ejpam-4765	420	14	where	where	SCONJ
ejpam-4765	420	15	ρ̂	ρ̂	NUM
ejpam-4765	420	16	is	be	AUX
ejpam-4765	420	17	either	either	CCONJ
ejpam-4765	420	18	a	a	DET
ejpam-4765	420	19	canonical	canonical	ADJ
ejpam-4765	420	20	negative	negative	ADJ
ejpam-4765	420	21	value	value	NOUN
ejpam-4765	420	22	ρ̂	ρ̂	NUM
ejpam-4765	421	1	=	=	SYM
ejpam-4765	421	2	ρ	ρ	PROPN
ejpam-4765	421	3	=	=	SYM
ejpam-4765	421	4	ρ0	ρ0	PROPN
ejpam-4765	421	5	or	or	CCONJ
ejpam-4765	421	6	an	an	DET
ejpam-4765	421	7	external	external	ADJ
ejpam-4765	421	8	estimator	estimator	NOUN
ejpam-4765	421	9	ρ̂	ρ̂	NUM
ejpam-4765	421	10	=	=	SYM
ejpam-4765	421	11	ρ̂kρ	ρ̂kρ	NOUN
ejpam-4765	421	12	,	,	PUNCT
ejpam-4765	421	13	consistent	consistent	ADJ
ejpam-4765	421	14	in	in	ADP
ejpam-4765	421	15	probability	probability	NOUN
ejpam-4765	421	16	to	to	ADP
ejpam-4765	421	17	ρ	ρ	NUM
ejpam-4765	421	18	,	,	PUNCT
ejpam-4765	421	19	with	with	ADP
ejpam-4765	421	20	kρ	kρ	NOUN
ejpam-4765	421	21	:	:	PUNCT
ejpam-4765	421	22	=	=	SYM
ejpam-4765	421	23	kρ(n	kρ(n	X
ejpam-4765	421	24	)	)	PUNCT
ejpam-4765	421	25	an	an	DET
ejpam-4765	421	26	intermediate	intermediate	ADJ
ejpam-4765	421	27	sequence	sequence	NOUN
ejpam-4765	421	28	of	of	ADP
ejpam-4765	421	29	integers	integer	NOUN
ejpam-4765	421	30	greater	great	ADJ
ejpam-4765	421	31	than	than	ADP
ejpam-4765	421	32	k	k	PROPN
ejpam-4765	421	33	,	,	PUNCT
ejpam-4765	421	34	satisfying	satisfy	VERB
ejpam-4765	421	35	kρ	kρ	NOUN
ejpam-4765	421	36	→	→	SYM
ejpam-4765	421	37	∞	∞	NUM
ejpam-4765	421	38	and	and	CCONJ
ejpam-4765	421	39	kρ	kρ	PROPN
ejpam-4765	421	40	/	/	SYM
ejpam-4765	421	41	n	n	PROPN
ejpam-4765	421	42	→	→	SYM
ejpam-4765	421	43	0	0	NUM
ejpam-4765	421	44	,	,	PUNCT
ejpam-4765	421	45	as	as	ADP
ejpam-4765	421	46	n	n	PROPN
ejpam-4765	421	47	→	→	SYM
ejpam-4765	421	48	∞.	∞.	PROPN
ejpam-4765	421	49	finally	finally	ADV
ejpam-4765	421	50	,	,	PUNCT
ejpam-4765	421	51	as	as	ADP
ejpam-4765	421	52	in	in	ADP
ejpam-4765	421	53	(	(	PUNCT
ejpam-4765	421	54	11	11	NUM
ejpam-4765	421	55	)	)	PUNCT
ejpam-4765	421	56	,	,	PUNCT
ejpam-4765	421	57	we	we	PRON
ejpam-4765	421	58	arrive	arrive	VERB
ejpam-4765	421	59	to	to	ADP
ejpam-4765	421	60	the	the	DET
ejpam-4765	421	61	following	follow	VERB
ejpam-4765	421	62	tail	tail	NOUN
ejpam-4765	421	63	index	index	NOUN
ejpam-4765	421	64	estimator	estimator	NOUN
ejpam-4765	421	65	:	:	PUNCT
ejpam-4765	421	66	γ̂	γ̂	NUM
ejpam-4765	422	1	(	(	PUNCT
ejpam-4765	422	2	k	k	PROPN
ejpam-4765	422	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	422	4	opt	opt	PROPN
ejpam-4765	422	5	)	)	PUNCT
ejpam-4765	422	6	n	n	CCONJ
ejpam-4765	422	7	,	,	PUNCT
ejpam-4765	422	8	k	k	PROPN
ejpam-4765	422	9	=	=	SYM
ejpam-4765	422	10	1	1	NUM
ejpam-4765	422	11	k	k	NOUN
ejpam-4765	422	12	k∑	k∑	PROPN
ejpam-4765	422	13	j=1	j=1	PROPN
ejpam-4765	422	14	jk	jk	PROPN
ejpam-4765	422	15	∆̂∗	∆̂∗	PROPN
ejpam-4765	422	16	opt	opt	NOUN
ejpam-4765	422	17	(	(	PUNCT
ejpam-4765	422	18	j	j	PROPN
ejpam-4765	422	19	k	k	PROPN
ejpam-4765	422	20	+	+	CCONJ
ejpam-4765	422	21	1	1	X
ejpam-4765	422	22	)	)	PUNCT
ejpam-4765	422	23	log	log	NOUN
ejpam-4765	422	24	(	(	PUNCT
ejpam-4765	422	25	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	422	26	xn−j	xn−j	X
ejpam-4765	422	27	,	,	PUNCT
ejpam-4765	422	28	n	n	PROPN
ejpam-4765	422	29	)	)	PUNCT
ejpam-4765	422	30	,	,	PUNCT
ejpam-4765	422	31	where	where	SCONJ
ejpam-4765	422	32	k	k	PROPN
ejpam-4765	422	33	∆̂∗	∆̂∗	PROPN
ejpam-4765	422	34	opt	opt	NOUN
ejpam-4765	422	35	is	be	AUX
ejpam-4765	422	36	defined	define	VERB
ejpam-4765	422	37	as	as	ADP
ejpam-4765	422	38	k∆∗	k∆∗	PROPN
ejpam-4765	422	39	opt	opt	NOUN
ejpam-4765	422	40	in	in	ADP
ejpam-4765	422	41	(	(	PUNCT
ejpam-4765	422	42	39	39	NUM
ejpam-4765	422	43	)	)	PUNCT
ejpam-4765	422	44	with	with	ADP
ejpam-4765	422	45	ρ	ρ	PROPN
ejpam-4765	422	46	replaced	replace	VERB
ejpam-4765	422	47	by	by	ADP
ejpam-4765	422	48	ρ̂.	ρ̂.	NOUN
ejpam-4765	422	49	next	next	ADV
ejpam-4765	422	50	,	,	PUNCT
ejpam-4765	422	51	for	for	ADP
ejpam-4765	422	52	the	the	DET
ejpam-4765	422	53	estimation	estimation	NOUN
ejpam-4765	422	54	of	of	ADP
ejpam-4765	422	55	the	the	DET
ejpam-4765	422	56	rate	rate	NOUN
ejpam-4765	422	57	a	a	PRON
ejpam-4765	422	58	(	(	PUNCT
ejpam-4765	422	59	·	·	PUNCT
ejpam-4765	422	60	)	)	PUNCT
ejpam-4765	422	61	,	,	PUNCT
ejpam-4765	422	62	we	we	PRON
ejpam-4765	422	63	use	use	VERB
ejpam-4765	422	64	the	the	DET
ejpam-4765	422	65	result	result	NOUN
ejpam-4765	422	66	in	in	ADP
ejpam-4765	422	67	(	(	PUNCT
ejpam-4765	422	68	16	16	NUM
ejpam-4765	422	69	)	)	PUNCT
ejpam-4765	422	70	from	from	ADP
ejpam-4765	422	71	which	which	PRON
ejpam-4765	422	72	we	we	PRON
ejpam-4765	422	73	have	have	VERB
ejpam-4765	422	74	,	,	PUNCT
ejpam-4765	422	75	as	as	ADP
ejpam-4765	422	76	n	n	X
ejpam-4765	422	77	→	→	SYM
ejpam-4765	422	78	∞	∞	PROPN
ejpam-4765	422	79	,	,	PUNCT
ejpam-4765	422	80	γ̂	γ̂	X
ejpam-4765	423	1	(	(	PUNCT
ejpam-4765	423	2	k	k	NOUN
ejpam-4765	423	3	)	)	PUNCT
ejpam-4765	423	4	n	n	CCONJ
ejpam-4765	423	5	,	,	PUNCT
ejpam-4765	423	6	k	k	PROPN
ejpam-4765	423	7	−	−	PROPN
ejpam-4765	423	8	γ̂	γ̂	PROPN
ejpam-4765	423	9	(	(	PUNCT
ejpam-4765	423	10	k2,ρ	k2,ρ	PROPN
ejpam-4765	423	11	)	)	PUNCT
ejpam-4765	423	12	n	n	CCONJ
ejpam-4765	423	13	,	,	PUNCT
ejpam-4765	423	14	k	k	NOUN
ejpam-4765	423	15	=	=	PUNCT
ejpam-4765	423	16	−a(n	−a(n	NOUN
ejpam-4765	423	17	/	/	SYM
ejpam-4765	423	18	k	k	NOUN
ejpam-4765	423	19	)	)	PUNCT
ejpam-4765	423	20	ρ2	ρ2	NOUN
ejpam-4765	423	21	(	(	PUNCT
ejpam-4765	423	22	1	1	NUM
ejpam-4765	423	23	−	−	NOUN
ejpam-4765	423	24	ρ)(1	ρ)(1	ADP
ejpam-4765	423	25	−	−	NOUN
ejpam-4765	423	26	2ρ	2ρ	NOUN
ejpam-4765	423	27	)	)	PUNCT
ejpam-4765	423	28	+	+	CCONJ
ejpam-4765	423	29	op(1	op(1	NOUN
ejpam-4765	423	30	)	)	PUNCT
ejpam-4765	423	31	.	.	PUNCT
ejpam-4765	424	1	m.	m.	NOUN
ejpam-4765	424	2	kebe	kebe	PROPN
ejpam-4765	424	3	et	et	PROPN
ejpam-4765	424	4	al	al	PROPN
ejpam-4765	424	5	.	.	PUNCT
ejpam-4765	424	6	/	/	SYM
ejpam-4765	424	7	eur	eur	PROPN
ejpam-4765	424	8	.	.	PUNCT
ejpam-4765	425	1	j.	j.	PROPN
ejpam-4765	425	2	pure	pure	PROPN
ejpam-4765	425	3	appl	appl	PROPN
ejpam-4765	425	4	.	.	PROPN
ejpam-4765	425	5	math	math	PROPN
ejpam-4765	425	6	,	,	PUNCT
ejpam-4765	425	7	16	16	NUM
ejpam-4765	425	8	(	(	PUNCT
ejpam-4765	425	9	4	4	NUM
ejpam-4765	425	10	)	)	PUNCT
ejpam-4765	425	11	(	(	PUNCT
ejpam-4765	425	12	2023	2023	NUM
ejpam-4765	425	13	)	)	PUNCT
ejpam-4765	425	14	,	,	PUNCT
ejpam-4765	425	15	2509	2509	NUM
ejpam-4765	425	16	-	-	SYM
ejpam-4765	425	17	2543	2543	NUM
ejpam-4765	425	18	2527	2527	NUM
ejpam-4765	425	19	thus	thus	ADV
ejpam-4765	425	20	,	,	PUNCT
ejpam-4765	425	21	we	we	PRON
ejpam-4765	425	22	can	can	AUX
ejpam-4765	425	23	approximate	approximate	VERB
ejpam-4765	425	24	a(n	a(n	PROPN
ejpam-4765	425	25	/	/	SYM
ejpam-4765	425	26	k	k	NOUN
ejpam-4765	425	27	)	)	PUNCT
ejpam-4765	425	28	ρ2	ρ2	NOUN
ejpam-4765	425	29	(	(	PUNCT
ejpam-4765	425	30	1	1	NUM
ejpam-4765	425	31	−	−	NOUN
ejpam-4765	425	32	ρ)(1	ρ)(1	ADP
ejpam-4765	425	33	−	−	NOUN
ejpam-4765	425	34	2ρ	2ρ	NOUN
ejpam-4765	425	35	)	)	PUNCT
ejpam-4765	425	36	by	by	ADP
ejpam-4765	425	37	−	−	PROPN
ejpam-4765	425	38	{	{	PUNCT
ejpam-4765	425	39	γ̂	γ̂	PUNCT
ejpam-4765	425	40	(	(	PUNCT
ejpam-4765	425	41	k	k	NOUN
ejpam-4765	425	42	)	)	PUNCT
ejpam-4765	425	43	n	n	CCONJ
ejpam-4765	425	44	,	,	PUNCT
ejpam-4765	425	45	k	k	PROPN
ejpam-4765	425	46	−	−	PROPN
ejpam-4765	425	47	γ̂	γ̂	PROPN
ejpam-4765	426	1	(	(	PUNCT
ejpam-4765	426	2	k2,ρ	k2,ρ	PROPN
ejpam-4765	426	3	)	)	PUNCT
ejpam-4765	426	4	n	n	CCONJ
ejpam-4765	426	5	,	,	PUNCT
ejpam-4765	426	6	k	k	PROPN
ejpam-4765	426	7	}	}	PUNCT
ejpam-4765	426	8	,	,	PUNCT
ejpam-4765	426	9	which	which	PRON
ejpam-4765	426	10	mean	mean	VERB
ejpam-4765	426	11	that	that	SCONJ
ejpam-4765	426	12	a(n	a(n	PROPN
ejpam-4765	426	13	/	/	SYM
ejpam-4765	426	14	k	k	NOUN
ejpam-4765	426	15	)	)	PUNCT
ejpam-4765	426	16	can	can	AUX
ejpam-4765	426	17	be	be	AUX
ejpam-4765	426	18	estimated	estimate	VERB
ejpam-4765	426	19	by	by	ADP
ejpam-4765	426	20	;	;	PUNCT
ejpam-4765	426	21	ân	ân	PROPN
ejpam-4765	426	22	,	,	PUNCT
ejpam-4765	426	23	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	426	24	)	)	PUNCT
ejpam-4765	426	25	:	:	PUNCT
ejpam-4765	427	1	=	=	SYM
ejpam-4765	427	2	−(1	−(1	ADJ
ejpam-4765	427	3	−	−	PROPN
ejpam-4765	427	4	ρ̂)(1	ρ̂)(1	NUM
ejpam-4765	427	5	−	−	NOUN
ejpam-4765	427	6	2ρ̂	2ρ̂	NUM
ejpam-4765	427	7	)	)	PUNCT
ejpam-4765	427	8	ρ̂	ρ̂	NUM
ejpam-4765	427	9	2	2	NUM
ejpam-4765	427	10	{	{	PUNCT
ejpam-4765	427	11	γ̂	γ̂	X
ejpam-4765	427	12	(	(	PUNCT
ejpam-4765	427	13	k	k	NOUN
ejpam-4765	427	14	)	)	PUNCT
ejpam-4765	427	15	n	n	CCONJ
ejpam-4765	427	16	,	,	PUNCT
ejpam-4765	427	17	k	k	PROPN
ejpam-4765	427	18	−	−	PROPN
ejpam-4765	427	19	γ̂	γ̂	PUNCT
ejpam-4765	427	20	(	(	PUNCT
ejpam-4765	427	21	k2,ρ̂	k2,ρ̂	PROPN
ejpam-4765	427	22	)	)	PUNCT
ejpam-4765	427	23	n	n	CCONJ
ejpam-4765	427	24	,	,	PUNCT
ejpam-4765	427	25	k	k	PROPN
ejpam-4765	427	26	}	}	PUNCT
ejpam-4765	427	27	.	.	PUNCT
ejpam-4765	428	1	clearly	clearly	ADV
ejpam-4765	428	2	,	,	PUNCT
ejpam-4765	428	3	the	the	DET
ejpam-4765	428	4	estimators	estimator	NOUN
ejpam-4765	428	5	γ̂	γ̂	PUNCT
ejpam-4765	428	6	(	(	PUNCT
ejpam-4765	428	7	k	k	PROPN
ejpam-4765	428	8	∆̂∗	∆̂∗	PROPN
ejpam-4765	428	9	opt	opt	PROPN
ejpam-4765	428	10	)	)	PUNCT
ejpam-4765	428	11	n	n	CCONJ
ejpam-4765	428	12	,	,	PUNCT
ejpam-4765	428	13	k	k	PROPN
ejpam-4765	428	14	and	and	CCONJ
ejpam-4765	428	15	ân	ân	PROPN
ejpam-4765	428	16	,	,	PUNCT
ejpam-4765	428	17	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	428	18	)	)	PUNCT
ejpam-4765	428	19	can	can	AUX
ejpam-4765	428	20	be	be	AUX
ejpam-4765	428	21	easily	easily	ADV
ejpam-4765	428	22	viewed	view	VERB
ejpam-4765	428	23	as	as	ADP
ejpam-4765	428	24	the	the	DET
ejpam-4765	428	25	least	least	ADV
ejpam-4765	428	26	squared	squared	ADJ
ejpam-4765	428	27	based	base	VERB
ejpam-4765	428	28	estimators	estimator	NOUN
ejpam-4765	428	29	of	of	ADP
ejpam-4765	428	30	γ	γ	NOUN
ejpam-4765	428	31	and	and	CCONJ
ejpam-4765	428	32	a(n	a(n	PROPN
ejpam-4765	428	33	/	/	SYM
ejpam-4765	428	34	k	k	NOUN
ejpam-4765	428	35	)	)	PUNCT
ejpam-4765	428	36	studied	study	VERB
ejpam-4765	428	37	in	in	ADP
ejpam-4765	428	38	[	[	X
ejpam-4765	428	39	16	16	NUM
ejpam-4765	428	40	]	]	X
ejpam-4765	428	41	;	;	PUNCT
ejpam-4765	429	1	[	[	X
ejpam-4765	429	2	3	3	NUM
ejpam-4765	429	3	]	]	PUNCT
ejpam-4765	429	4	;	;	PUNCT
ejpam-4765	429	5	[	[	X
ejpam-4765	429	6	4	4	X
ejpam-4765	429	7	]	]	PUNCT
ejpam-4765	429	8	and	and	CCONJ
ejpam-4765	429	9	[	[	X
ejpam-4765	429	10	13	13	NUM
ejpam-4765	429	11	]	]	PUNCT
ejpam-4765	429	12	.	.	PUNCT
ejpam-4765	430	1	this	this	DET
ejpam-4765	430	2	approach	approach	NOUN
ejpam-4765	430	3	is	be	AUX
ejpam-4765	430	4	based	base	VERB
ejpam-4765	430	5	on	on	ADP
ejpam-4765	430	6	the	the	DET
ejpam-4765	430	7	following	follow	VERB
ejpam-4765	430	8	exponential	exponential	ADJ
ejpam-4765	430	9	regression	regression	NOUN
ejpam-4765	430	10	model	model	NOUN
ejpam-4765	430	11	:	:	PUNCT
ejpam-4765	430	12	j	j	PROPN
ejpam-4765	430	13	log	log	NOUN
ejpam-4765	430	14	(	(	PUNCT
ejpam-4765	430	15	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	430	16	xn−j	xn−j	X
ejpam-4765	430	17	,	,	PUNCT
ejpam-4765	430	18	n	n	NOUN
ejpam-4765	430	19	)	)	PUNCT
ejpam-4765	430	20	∼	∼	NOUN
ejpam-4765	430	21	(	(	PUNCT
ejpam-4765	430	22	γ	γ	X
ejpam-4765	430	23	+	+	NOUN
ejpam-4765	430	24	a(n	a(n	NOUN
ejpam-4765	430	25	/	/	SYM
ejpam-4765	430	26	k	k	NOUN
ejpam-4765	430	27	)	)	PUNCT
ejpam-4765	430	28	(	(	PUNCT
ejpam-4765	430	29	j	j	PROPN
ejpam-4765	430	30	k	k	PROPN
ejpam-4765	430	31	+	+	CCONJ
ejpam-4765	430	32	1	1	X
ejpam-4765	430	33	)	)	PUNCT
ejpam-4765	430	34	−ρ	−ρ	NOUN
ejpam-4765	430	35	)	)	PUNCT
ejpam-4765	431	1	+	+	PUNCT
ejpam-4765	431	2	εj	εj	NOUN
ejpam-4765	431	3	,	,	PUNCT
ejpam-4765	431	4	k	k	PROPN
ejpam-4765	431	5	,	,	PUNCT
ejpam-4765	431	6	1	1	NUM
ejpam-4765	431	7	≤	≤	NUM
ejpam-4765	432	1	j	j	PROPN
ejpam-4765	432	2	≤	≤	PROPN
ejpam-4765	432	3	k	k	PROPN
ejpam-4765	432	4	,	,	PUNCT
ejpam-4765	432	5	(	(	PUNCT
ejpam-4765	432	6	40	40	NUM
ejpam-4765	432	7	)	)	PUNCT
ejpam-4765	432	8	where	where	SCONJ
ejpam-4765	432	9	εj	εj	NOUN
ejpam-4765	432	10	,	,	PUNCT
ejpam-4765	432	11	k	k	PROPN
ejpam-4765	432	12	are	be	AUX
ejpam-4765	432	13	zero	zero	NUM
ejpam-4765	432	14	-	-	PUNCT
ejpam-4765	432	15	centered	center	VERB
ejpam-4765	432	16	error	error	NOUN
ejpam-4765	432	17	terms	term	NOUN
ejpam-4765	432	18	and	and	CCONJ
ejpam-4765	432	19	in	in	ADP
ejpam-4765	432	20	which	which	PRON
ejpam-4765	432	21	ρ	ρ	NOUN
ejpam-4765	432	22	is	be	AUX
ejpam-4765	432	23	substituted	substitute	VERB
ejpam-4765	432	24	by	by	ADP
ejpam-4765	432	25	ρ̂.	ρ̂.	NOUN
ejpam-4765	432	26	finally	finally	ADV
ejpam-4765	432	27	,	,	PUNCT
ejpam-4765	432	28	using	use	VERB
ejpam-4765	432	29	the	the	DET
ejpam-4765	432	30	relation	relation	NOUN
ejpam-4765	432	31	in	in	ADP
ejpam-4765	432	32	(	(	PUNCT
ejpam-4765	432	33	36	36	NUM
ejpam-4765	432	34	)	)	PUNCT
ejpam-4765	432	35	,	,	PUNCT
ejpam-4765	432	36	we	we	PRON
ejpam-4765	432	37	arrive	arrive	VERB
ejpam-4765	432	38	at	at	ADP
ejpam-4765	432	39	the	the	DET
ejpam-4765	432	40	following	follow	VERB
ejpam-4765	432	41	unbiased	unbiased	ADJ
ejpam-4765	432	42	estimator	estimator	NOUN
ejpam-4765	432	43	of	of	ADP
ejpam-4765	432	44	the	the	DET
ejpam-4765	432	45	extreme	extreme	ADJ
ejpam-4765	432	46	quantile	quantile	NOUN
ejpam-4765	432	47	q(u	q(u	PROPN
ejpam-4765	432	48	)	)	PUNCT
ejpam-4765	432	49	,	,	PUNCT
ejpam-4765	432	50	u	u	NOUN
ejpam-4765	432	51	→	→	SYM
ejpam-4765	432	52	1	1	NUM
ejpam-4765	432	53	:	:	PUNCT
ejpam-4765	432	54	q	q	X
ejpam-4765	432	55	(	(	PUNCT
ejpam-4765	432	56	k	k	PROPN
ejpam-4765	432	57	∆̂∗	∆̂∗	PROPN
ejpam-4765	432	58	opt	opt	PROPN
ejpam-4765	432	59	)	)	PUNCT
ejpam-4765	432	60	n	n	CCONJ
ejpam-4765	432	61	,	,	PUNCT
ejpam-4765	432	62	k	k	PROPN
ejpam-4765	432	63	,	,	PUNCT
ejpam-4765	432	64	ρ̂	ρ̂	NUM
ejpam-4765	432	65	(	(	PUNCT
ejpam-4765	432	66	u	u	NOUN
ejpam-4765	432	67	)	)	PUNCT
ejpam-4765	432	68	=	=	SYM
ejpam-4765	433	1	(	(	PUNCT
ejpam-4765	433	2	n	n	X
ejpam-4765	433	3	k	k	X
ejpam-4765	433	4	(	(	PUNCT
ejpam-4765	433	5	1	1	NUM
ejpam-4765	433	6	−	−	PROPN
ejpam-4765	433	7	u	u	NOUN
ejpam-4765	433	8	)	)	PUNCT
ejpam-4765	433	9	)	)	PUNCT
ejpam-4765	433	10	−γ̂	−γ̂	PROPN
ejpam-4765	433	11	(	(	PUNCT
ejpam-4765	433	12	k	k	PROPN
ejpam-4765	433	13	∆̂∗	∆̂∗	PROPN
ejpam-4765	433	14	opt	opt	PROPN
ejpam-4765	433	15	)	)	PUNCT
ejpam-4765	433	16	n	n	CCONJ
ejpam-4765	433	17	,	,	PUNCT
ejpam-4765	433	18	k	k	PROPN
ejpam-4765	433	19	xn−k	xn−k	PROPN
ejpam-4765	433	20	,	,	PUNCT
ejpam-4765	433	21	n	n	CCONJ
ejpam-4765	433	22	{	{	PUNCT
ejpam-4765	433	23	1	1	NUM
ejpam-4765	433	24	−	−	PROPN
ejpam-4765	433	25	ân	ân	PROPN
ejpam-4765	433	26	,	,	PUNCT
ejpam-4765	433	27	k	k	PROPN
ejpam-4765	433	28	ρ	ρ	PROPN
ejpam-4765	433	29	[	[	PUNCT
ejpam-4765	433	30	1	1	NUM
ejpam-4765	433	31	−	−	PROPN
ejpam-4765	433	32	(	(	PUNCT
ejpam-4765	433	33	n	n	X
ejpam-4765	433	34	k	k	X
ejpam-4765	433	35	(	(	PUNCT
ejpam-4765	433	36	1	1	NUM
ejpam-4765	433	37	−	−	PROPN
ejpam-4765	433	38	u	u	NOUN
ejpam-4765	433	39	)	)	PUNCT
ejpam-4765	433	40	)	)	PUNCT
ejpam-4765	433	41	−ρ̂	−ρ̂	X
ejpam-4765	434	1	]	]	PUNCT
ejpam-4765	434	2	}	}	PUNCT
ejpam-4765	434	3	.	.	PUNCT
ejpam-4765	435	1	(	(	PUNCT
ejpam-4765	435	2	41	41	NUM
ejpam-4765	435	3	)	)	PUNCT
ejpam-4765	435	4	in	in	ADP
ejpam-4765	435	5	the	the	DET
ejpam-4765	435	6	spirit	spirit	NOUN
ejpam-4765	435	7	of	of	ADP
ejpam-4765	435	8	(	(	PUNCT
ejpam-4765	435	9	2	2	NUM
ejpam-4765	435	10	)	)	PUNCT
ejpam-4765	435	11	,	,	PUNCT
ejpam-4765	435	12	substituting	substitute	VERB
ejpam-4765	435	13	the	the	DET
ejpam-4765	435	14	extreme	extreme	ADJ
ejpam-4765	435	15	quantile	quantile	NOUN
ejpam-4765	435	16	q(u	q(u	NOUN
ejpam-4765	435	17	)	)	PUNCT
ejpam-4765	435	18	with	with	ADP
ejpam-4765	435	19	q	q	PROPN
ejpam-4765	435	20	(	(	PUNCT
ejpam-4765	435	21	k	k	PROPN
ejpam-4765	435	22	∆̂∗	∆̂∗	PROPN
ejpam-4765	435	23	opt	opt	PROPN
ejpam-4765	435	24	)	)	PUNCT
ejpam-4765	435	25	n	n	CCONJ
ejpam-4765	435	26	,	,	PUNCT
ejpam-4765	435	27	k	k	PROPN
ejpam-4765	435	28	,	,	PUNCT
ejpam-4765	435	29	ρ̂	ρ̂	NUM
ejpam-4765	435	30	(	(	PUNCT
ejpam-4765	435	31	u	u	NOUN
ejpam-4765	435	32	)	)	PUNCT
ejpam-4765	435	33	,	,	PUNCT
ejpam-4765	435	34	we	we	PRON
ejpam-4765	435	35	obtain	obtain	VERB
ejpam-4765	435	36	the	the	DET
ejpam-4765	435	37	following	follow	VERB
ejpam-4765	435	38	unbiased	unbiased	ADJ
ejpam-4765	435	39	estimator	estimator	NOUN
ejpam-4765	435	40	of	of	ADP
ejpam-4765	435	41	the	the	DET
ejpam-4765	435	42	qsr	qsr	PROPN
ejpam-4765	435	43	index	index	NOUN
ejpam-4765	435	44	η̃	η̃	PROPN
ejpam-4765	435	45	(	(	PUNCT
ejpam-4765	435	46	k	k	PROPN
ejpam-4765	435	47	∆̂∗	∆̂∗	PROPN
ejpam-4765	435	48	opt	opt	PROPN
ejpam-4765	435	49	)	)	PUNCT
ejpam-4765	435	50	n	n	CCONJ
ejpam-4765	435	51	,	,	PUNCT
ejpam-4765	435	52	k	k	PROPN
ejpam-4765	435	53	,	,	PUNCT
ejpam-4765	435	54	ρ̂	ρ̂	NUM
ejpam-4765	435	55	(	(	PUNCT
ejpam-4765	435	56	α	α	NOUN
ejpam-4765	435	57	,	,	PUNCT
ejpam-4765	435	58	β	β	NOUN
ejpam-4765	435	59	)	)	PUNCT
ejpam-4765	435	60	:	:	PUNCT
ejpam-4765	436	1	=	=	SYM
ejpam-4765	436	2	1	1	NUM
ejpam-4765	436	3	ln(α	ln(α	ADV
ejpam-4765	436	4	)	)	PUNCT
ejpam-4765	436	5	n−k∑	n−k∑	NOUN
ejpam-4765	437	1	j=1	j=1	NOUN
ejpam-4765	438	1	[	[	X
ejpam-4765	438	2	(	(	PUNCT
ejpam-4765	438	3	j	j	PROPN
ejpam-4765	438	4	n	n	CCONJ
ejpam-4765	438	5	−	−	PROPN
ejpam-4765	438	6	β	β	NOUN
ejpam-4765	438	7	)	)	PUNCT
ejpam-4765	439	1	+	+	CCONJ
ejpam-4765	439	2	−	−	PROPN
ejpam-4765	439	3	(	(	PUNCT
ejpam-4765	439	4	j	j	NOUN
ejpam-4765	439	5	−	−	PROPN
ejpam-4765	439	6	1	1	NUM
ejpam-4765	439	7	n	n	NUM
ejpam-4765	439	8	−	−	PROPN
ejpam-4765	439	9	β	β	NOUN
ejpam-4765	439	10	)	)	PUNCT
ejpam-4765	440	1	+	+	CCONJ
ejpam-4765	440	2	]	]	PUNCT
ejpam-4765	440	3	xj	xj	PROPN
ejpam-4765	440	4	,	,	PUNCT
ejpam-4765	440	5	n	n	PROPN
ejpam-4765	440	6	+	+	CCONJ
ejpam-4765	440	7	(	(	PUNCT
ejpam-4765	440	8	k	k	NOUN
ejpam-4765	440	9	/	/	SYM
ejpam-4765	440	10	n	n	CCONJ
ejpam-4765	440	11	)	)	PUNCT
ejpam-4765	440	12	xn−k	xn−k	PROPN
ejpam-4765	440	13	,	,	PUNCT
ejpam-4765	440	14	n	n	PRON
ejpam-4765	440	15	ln(α	ln(α	ADV
ejpam-4765	440	16	)	)	PUNCT
ejpam-4765	440	17	(	(	PUNCT
ejpam-4765	440	18	1	1	NUM
ejpam-4765	440	19	−	−	NOUN
ejpam-4765	440	20	γ̂	γ̂	PUNCT
ejpam-4765	440	21	(	(	PUNCT
ejpam-4765	440	22	k	k	PROPN
ejpam-4765	440	23	∆̂∗	∆̂∗	PROPN
ejpam-4765	440	24	opt	opt	PROPN
ejpam-4765	440	25	)	)	PUNCT
ejpam-4765	440	26	n	n	CCONJ
ejpam-4765	440	27	,	,	PUNCT
ejpam-4765	440	28	k	k	PROPN
ejpam-4765	440	29	)	)	PUNCT
ejpam-4765	440	30	1	1	PROPN
ejpam-4765	440	31	−	−	PROPN
ejpam-4765	441	1	ân	ân	PROPN
ejpam-4765	441	2	,	,	PUNCT
ejpam-4765	441	3	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	441	4	)	)	PUNCT
ejpam-4765	441	5	γ̂	γ̂	PUNCT
ejpam-4765	442	1	(	(	PUNCT
ejpam-4765	442	2	k	k	PROPN
ejpam-4765	442	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	442	4	opt	opt	PROPN
ejpam-4765	442	5	)	)	PUNCT
ejpam-4765	442	6	n	n	CCONJ
ejpam-4765	442	7	,	,	PUNCT
ejpam-4765	442	8	k	k	PROPN
ejpam-4765	442	9	+	+	CCONJ
ejpam-4765	443	1	ρ̂−	ρ̂−	PROPN
ejpam-4765	443	2	1	1	NUM
ejpam-4765	443	3			PRON
ejpam-4765	443	4	.	.	PUNCT
ejpam-4765	444	1	(	(	PUNCT
ejpam-4765	444	2	42	42	NUM
ejpam-4765	444	3	)	)	PUNCT
ejpam-4765	444	4	a	a	DET
ejpam-4765	444	5	possible	possible	ADJ
ejpam-4765	444	6	choice	choice	NOUN
ejpam-4765	444	7	for	for	ADP
ejpam-4765	444	8	ρ̂kρ	ρ̂kρ	NOUN
ejpam-4765	444	9	is	be	AUX
ejpam-4765	444	10	one	one	NUM
ejpam-4765	444	11	of	of	ADP
ejpam-4765	444	12	the	the	DET
ejpam-4765	444	13	most	most	ADV
ejpam-4765	444	14	performed	perform	VERB
ejpam-4765	444	15	estimator	estimator	NOUN
ejpam-4765	444	16	among	among	ADP
ejpam-4765	444	17	those	those	PRON
ejpam-4765	444	18	studied	study	VERB
ejpam-4765	444	19	in	in	ADP
ejpam-4765	444	20	[	[	X
ejpam-4765	444	21	21	21	NUM
ejpam-4765	444	22	]	]	PUNCT
ejpam-4765	444	23	,	,	PUNCT
ejpam-4765	444	24	generalized	generalize	VERB
ejpam-4765	444	25	in	in	ADP
ejpam-4765	444	26	[	[	X
ejpam-4765	444	27	12	12	NUM
ejpam-4765	444	28	]	]	PUNCT
ejpam-4765	444	29	)	)	PUNCT
ejpam-4765	444	30	and	and	CCONJ
ejpam-4765	444	31	defined	define	VERB
ejpam-4765	444	32	by	by	ADP
ejpam-4765	444	33	:	:	PUNCT
ejpam-4765	444	34	ρ̂kρ	ρ̂kρ	X
ejpam-4765	444	35	=	=	SYM
ejpam-4765	444	36	6s	6s	NUM
ejpam-4765	444	37	(	(	PUNCT
ejpam-4765	444	38	2	2	NUM
ejpam-4765	444	39	)	)	PUNCT
ejpam-4765	444	40	kρ	kρ	NOUN
ejpam-4765	444	41	−	−	PROPN
ejpam-4765	444	42	4	4	NUM
ejpam-4765	444	43	+	+	CCONJ
ejpam-4765	444	44	√	√	NUM
ejpam-4765	444	45	3s	3s	NUM
ejpam-4765	444	46	(	(	PUNCT
ejpam-4765	444	47	2	2	NUM
ejpam-4765	444	48	)	)	PUNCT
ejpam-4765	444	49	kρ	kρ	NOUN
ejpam-4765	444	50	−	−	PROPN
ejpam-4765	444	51	2	2	NUM
ejpam-4765	444	52	4s	4s	NUM
ejpam-4765	444	53	(	(	PUNCT
ejpam-4765	444	54	2	2	NUM
ejpam-4765	444	55	)	)	PUNCT
ejpam-4765	444	56	kρ	kρ	NOUN
ejpam-4765	444	57	−	−	PROPN
ejpam-4765	444	58	3	3	NUM
ejpam-4765	444	59	,	,	PUNCT
ejpam-4765	444	60	provided	provide	VERB
ejpam-4765	444	61	s	s	NOUN
ejpam-4765	444	62	(	(	PUNCT
ejpam-4765	444	63	2	2	NUM
ejpam-4765	444	64	)	)	PUNCT
ejpam-4765	444	65	kρ	kρ	NOUN
ejpam-4765	444	66	∈	∈	PROPN
ejpam-4765	444	67	(	(	PUNCT
ejpam-4765	444	68	2	2	NUM
ejpam-4765	444	69	3	3	NUM
ejpam-4765	444	70	,	,	PUNCT
ejpam-4765	444	71	3	3	NUM
ejpam-4765	444	72	4	4	NUM
ejpam-4765	444	73	)	)	PUNCT
ejpam-4765	444	74	,	,	PUNCT
ejpam-4765	444	75	(	(	PUNCT
ejpam-4765	444	76	43	43	X
ejpam-4765	444	77	)	)	PUNCT
ejpam-4765	444	78	m.	m.	NOUN
ejpam-4765	445	1	kebe	kebe	PROPN
ejpam-4765	445	2	et	et	PROPN
ejpam-4765	445	3	al	al	PROPN
ejpam-4765	445	4	.	.	PUNCT
ejpam-4765	445	5	/	/	SYM
ejpam-4765	445	6	eur	eur	PROPN
ejpam-4765	445	7	.	.	PUNCT
ejpam-4765	446	1	j.	j.	PROPN
ejpam-4765	446	2	pure	pure	PROPN
ejpam-4765	446	3	appl	appl	PROPN
ejpam-4765	446	4	.	.	PROPN
ejpam-4765	446	5	math	math	PROPN
ejpam-4765	446	6	,	,	PUNCT
ejpam-4765	446	7	16	16	NUM
ejpam-4765	446	8	(	(	PUNCT
ejpam-4765	446	9	4	4	NUM
ejpam-4765	446	10	)	)	PUNCT
ejpam-4765	446	11	(	(	PUNCT
ejpam-4765	446	12	2023	2023	NUM
ejpam-4765	446	13	)	)	PUNCT
ejpam-4765	446	14	,	,	PUNCT
ejpam-4765	446	15	2509	2509	NUM
ejpam-4765	446	16	-	-	SYM
ejpam-4765	446	17	2543	2543	NUM
ejpam-4765	446	18	2528	2528	NUM
ejpam-4765	446	19	where	where	SCONJ
ejpam-4765	446	20	s	s	X
ejpam-4765	446	21	(	(	PUNCT
ejpam-4765	446	22	2	2	NUM
ejpam-4765	446	23	)	)	PUNCT
ejpam-4765	446	24	kρ	kρ	NOUN
ejpam-4765	446	25	=	=	SYM
ejpam-4765	446	26	3	3	NUM
ejpam-4765	446	27	4	4	NUM
ejpam-4765	446	28	[	[	PUNCT
ejpam-4765	446	29	m	m	X
ejpam-4765	446	30	(	(	PUNCT
ejpam-4765	446	31	4	4	NUM
ejpam-4765	446	32	)	)	PUNCT
ejpam-4765	446	33	kρ	kρ	NOUN
ejpam-4765	446	34	−	−	PROPN
ejpam-4765	446	35	24	24	NUM
ejpam-4765	446	36	(	(	PUNCT
ejpam-4765	446	37	m	m	PROPN
ejpam-4765	446	38	(	(	PUNCT
ejpam-4765	446	39	1	1	NUM
ejpam-4765	446	40	)	)	PUNCT
ejpam-4765	446	41	kρ	kρ	NOUN
ejpam-4765	446	42	)	)	PUNCT
ejpam-4765	446	43	4	4	NUM
ejpam-4765	446	44	]	]	PUNCT
ejpam-4765	446	45	[	[	PUNCT
ejpam-4765	446	46	m	m	X
ejpam-4765	446	47	(	(	PUNCT
ejpam-4765	446	48	2	2	NUM
ejpam-4765	446	49	)	)	PUNCT
ejpam-4765	446	50	kρ	kρ	NOUN
ejpam-4765	446	51	−	−	PROPN
ejpam-4765	446	52	2	2	NUM
ejpam-4765	446	53	(	(	PUNCT
ejpam-4765	446	54	m	m	PROPN
ejpam-4765	446	55	(	(	PUNCT
ejpam-4765	446	56	1	1	NUM
ejpam-4765	446	57	)	)	PUNCT
ejpam-4765	446	58	kρ	kρ	NOUN
ejpam-4765	446	59	)	)	PUNCT
ejpam-4765	446	60	2	2	X
ejpam-4765	446	61	]	]	PUNCT
ejpam-4765	446	62	[	[	PUNCT
ejpam-4765	446	63	m	m	X
ejpam-4765	446	64	(	(	PUNCT
ejpam-4765	446	65	3	3	NUM
ejpam-4765	446	66	)	)	PUNCT
ejpam-4765	446	67	kρ	kρ	NOUN
ejpam-4765	446	68	−	−	PROPN
ejpam-4765	446	69	6	6	NUM
ejpam-4765	446	70	(	(	PUNCT
ejpam-4765	446	71	m	m	PROPN
ejpam-4765	446	72	(	(	PUNCT
ejpam-4765	446	73	1	1	NUM
ejpam-4765	446	74	)	)	PUNCT
ejpam-4765	446	75	kρ	kρ	NOUN
ejpam-4765	446	76	)	)	PUNCT
ejpam-4765	446	77	3]2	3]2	PROPN
ejpam-4765	446	78	,	,	PUNCT
ejpam-4765	446	79	and	and	CCONJ
ejpam-4765	446	80	m	m	PROPN
ejpam-4765	446	81	(	(	PUNCT
ejpam-4765	446	82	r	r	NOUN
ejpam-4765	446	83	)	)	PUNCT
ejpam-4765	446	84	kρ	kρ	NOUN
ejpam-4765	446	85	:	:	PUNCT
ejpam-4765	446	86	=	=	SYM
ejpam-4765	446	87	1	1	NUM
ejpam-4765	446	88	kρ	kρ	PROPN
ejpam-4765	446	89	kρ∑	kρ∑	PROPN
ejpam-4765	446	90	j=1	j=1	PROPN
ejpam-4765	446	91	(	(	PUNCT
ejpam-4765	446	92	log	log	PROPN
ejpam-4765	446	93	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	446	94	xn−kρ	xn−kρ	PROPN
ejpam-4765	446	95	,	,	PUNCT
ejpam-4765	446	96	n	n	NOUN
ejpam-4765	446	97	)	)	PUNCT
ejpam-4765	446	98	r	r	NOUN
ejpam-4765	446	99	,	,	PUNCT
ejpam-4765	447	1	r	r	NOUN
ejpam-4765	447	2	>	>	X
ejpam-4765	447	3	0	0	NUM
ejpam-4765	447	4	.	.	PUNCT
ejpam-4765	448	1	the	the	DET
ejpam-4765	448	2	consistency	consistency	NOUN
ejpam-4765	448	3	of	of	ADP
ejpam-4765	448	4	ρ̂	ρ̂	NUM
ejpam-4765	448	5	(	(	PUNCT
ejpam-4765	448	6	∗	∗	NOUN
ejpam-4765	448	7	)	)	PUNCT
ejpam-4765	448	8	kρ	kρ	NOUN
ejpam-4765	448	9	to	to	ADP
ejpam-4765	448	10	ρ	ρ	PROPN
ejpam-4765	448	11	have	have	AUX
ejpam-4765	448	12	been	be	AUX
ejpam-4765	448	13	established	establish	VERB
ejpam-4765	448	14	in	in	ADP
ejpam-4765	448	15	[	[	X
ejpam-4765	448	16	21	21	NUM
ejpam-4765	448	17	]	]	PUNCT
ejpam-4765	448	18	and	and	CCONJ
ejpam-4765	448	19	[	[	X
ejpam-4765	448	20	12	12	NUM
ejpam-4765	448	21	]	]	PUNCT
ejpam-4765	448	22	)	)	PUNCT
ejpam-4765	448	23	under	under	ADP
ejpam-4765	448	24	the	the	DET
ejpam-4765	448	25	second	second	ADJ
ejpam-4765	448	26	order	order	NOUN
ejpam-4765	448	27	condition	condition	NOUN
ejpam-4765	448	28	(	(	PUNCT
ejpam-4765	448	29	ru	ru	NOUN
ejpam-4765	448	30	)	)	PUNCT
ejpam-4765	448	31	and	and	CCONJ
ejpam-4765	448	32	the	the	DET
ejpam-4765	448	33	assumptions	assumption	NOUN
ejpam-4765	448	34	kρ	kρ	NOUN
ejpam-4765	448	35	→	→	SYM
ejpam-4765	448	36	∞	∞	PROPN
ejpam-4765	448	37	,	,	PUNCT
ejpam-4765	448	38	kρ	kρ	PROPN
ejpam-4765	448	39	/	/	SYM
ejpam-4765	448	40	n	n	NOUN
ejpam-4765	448	41	→	→	SYM
ejpam-4765	448	42	0	0	NUM
ejpam-4765	448	43	and	and	CCONJ
ejpam-4765	448	44	k	k	PROPN
ejpam-4765	448	45	1/2	1/2	NUM
ejpam-4765	448	46	ρ	ρ	PROPN
ejpam-4765	448	47	a(n	a(n	NOUN
ejpam-4765	448	48	/	/	SYM
ejpam-4765	448	49	kρ	kρ	PROPN
ejpam-4765	448	50	)	)	PUNCT
ejpam-4765	448	51	→	→	SYM
ejpam-4765	448	52	∞	∞	PROPN
ejpam-4765	448	53	,	,	PUNCT
ejpam-4765	448	54	as	as	SCONJ
ejpam-4765	448	55	n	n	PROPN
ejpam-4765	448	56	→	→	PUNCT
ejpam-4765	448	57	∞.	∞.	PROPN
ejpam-4765	448	58	our	our	PRON
ejpam-4765	448	59	next	next	ADJ
ejpam-4765	448	60	goal	goal	NOUN
ejpam-4765	448	61	is	be	AUX
ejpam-4765	448	62	to	to	PART
ejpam-4765	448	63	establish	establish	VERB
ejpam-4765	448	64	,	,	PUNCT
ejpam-4765	448	65	under	under	ADP
ejpam-4765	448	66	suitable	suitable	ADJ
ejpam-4765	448	67	assumptions	assumption	NOUN
ejpam-4765	448	68	,	,	PUNCT
ejpam-4765	448	69	the	the	DET
ejpam-4765	448	70	asymptotic	asymptotic	ADJ
ejpam-4765	448	71	normality	normality	NOUN
ejpam-4765	448	72	of	of	ADP
ejpam-4765	448	73	η̃	η̃	PROPN
ejpam-4765	448	74	(	(	PUNCT
ejpam-4765	448	75	k	k	PROPN
ejpam-4765	448	76	∆̂∗	∆̂∗	PROPN
ejpam-4765	448	77	opt	opt	PROPN
ejpam-4765	448	78	)	)	PUNCT
ejpam-4765	448	79	n	n	CCONJ
ejpam-4765	448	80	,	,	PUNCT
ejpam-4765	448	81	k	k	PROPN
ejpam-4765	448	82	,	,	PUNCT
ejpam-4765	448	83	ρ̂	ρ̂	NUM
ejpam-4765	448	84	(	(	PUNCT
ejpam-4765	448	85	α	α	NOUN
ejpam-4765	448	86	,	,	PUNCT
ejpam-4765	448	87	β	β	NOUN
ejpam-4765	448	88	)	)	PUNCT
ejpam-4765	448	89	.	.	PUNCT
ejpam-4765	449	1	this	this	PRON
ejpam-4765	449	2	is	be	AUX
ejpam-4765	449	3	done	do	VERB
ejpam-4765	449	4	in	in	ADP
ejpam-4765	449	5	the	the	DET
ejpam-4765	449	6	following	follow	VERB
ejpam-4765	449	7	theorem	theorem	PROPN
ejpam-4765	449	8	.	.	PUNCT
ejpam-4765	450	1	theorem	theorem	NOUN
ejpam-4765	450	2	2	2	NUM
ejpam-4765	450	3	.	.	PUNCT
ejpam-4765	451	1	under	under	ADP
ejpam-4765	451	2	the	the	DET
ejpam-4765	451	3	assumptions	assumption	NOUN
ejpam-4765	451	4	of	of	ADP
ejpam-4765	451	5	theorem	theorem	NOUN
ejpam-4765	451	6	1	1	NUM
ejpam-4765	451	7	,	,	PUNCT
ejpam-4765	451	8	if	if	SCONJ
ejpam-4765	451	9	ρ̂	ρ̂	NUM
ejpam-4765	451	10	is	be	AUX
ejpam-4765	451	11	either	either	CCONJ
ejpam-4765	451	12	a	a	DET
ejpam-4765	451	13	canonical	canonical	ADJ
ejpam-4765	451	14	negative	negative	ADJ
ejpam-4765	451	15	value	value	NOUN
ejpam-4765	451	16	ρ̂	ρ̂	NUM
ejpam-4765	451	17	=	=	SYM
ejpam-4765	451	18	ρ	ρ	PROPN
ejpam-4765	451	19	=	=	SYM
ejpam-4765	451	20	ρ0	ρ0	PROPN
ejpam-4765	451	21	or	or	CCONJ
ejpam-4765	451	22	an	an	DET
ejpam-4765	451	23	external	external	ADJ
ejpam-4765	451	24	estimator	estimator	NOUN
ejpam-4765	451	25	ρ̂	ρ̂	NUM
ejpam-4765	451	26	=	=	SYM
ejpam-4765	451	27	ρ̂kρ	ρ̂kρ	NOUN
ejpam-4765	451	28	,	,	PUNCT
ejpam-4765	451	29	consistent	consistent	ADJ
ejpam-4765	451	30	in	in	ADP
ejpam-4765	451	31	probability	probability	NOUN
ejpam-4765	451	32	to	to	ADP
ejpam-4765	451	33	ρ	ρ	NUM
ejpam-4765	451	34	,	,	PUNCT
ejpam-4765	451	35	with	with	ADP
ejpam-4765	451	36	kρ	kρ	NOUN
ejpam-4765	451	37	:	:	PUNCT
ejpam-4765	451	38	=	=	NOUN
ejpam-4765	451	39	kρ(n	kρ(n	X
ejpam-4765	451	40	)	)	PUNCT
ejpam-4765	451	41	,	,	PUNCT
ejpam-4765	451	42	an	an	DET
ejpam-4765	451	43	intermediate	intermediate	ADJ
ejpam-4765	451	44	sequence	sequence	NOUN
ejpam-4765	451	45	of	of	ADP
ejpam-4765	451	46	integers	integer	NOUN
ejpam-4765	451	47	greater	great	ADJ
ejpam-4765	451	48	than	than	ADP
ejpam-4765	451	49	k	k	PROPN
ejpam-4765	451	50	,	,	PUNCT
ejpam-4765	451	51	satisfying	satisfy	VERB
ejpam-4765	451	52	kρ	kρ	NOUN
ejpam-4765	451	53	→	→	SYM
ejpam-4765	451	54	∞	∞	NUM
ejpam-4765	451	55	and	and	CCONJ
ejpam-4765	451	56	kρ	kρ	PROPN
ejpam-4765	451	57	/	/	SYM
ejpam-4765	451	58	n	n	PROPN
ejpam-4765	451	59	→	→	SYM
ejpam-4765	451	60	0	0	NUM
ejpam-4765	451	61	,	,	PUNCT
ejpam-4765	451	62	as	as	ADP
ejpam-4765	451	63	n	n	X
ejpam-4765	451	64	→	→	SYM
ejpam-4765	451	65	∞	∞	PROPN
ejpam-4765	451	66	,	,	PUNCT
ejpam-4765	451	67	then	then	ADV
ejpam-4765	451	68	we	we	PRON
ejpam-4765	451	69	have	have	VERB
ejpam-4765	451	70	:	:	PUNCT
ejpam-4765	451	71	√	√	PROPN
ejpam-4765	451	72	n	n	PROPN
ejpam-4765	451	73	(	(	PUNCT
ejpam-4765	451	74	η̃	η̃	PROPN
ejpam-4765	451	75	(	(	PUNCT
ejpam-4765	451	76	k	k	PROPN
ejpam-4765	451	77	∆̂∗	∆̂∗	PROPN
ejpam-4765	451	78	opt	opt	PROPN
ejpam-4765	451	79	)	)	PUNCT
ejpam-4765	451	80	n	n	CCONJ
ejpam-4765	451	81	,	,	PUNCT
ejpam-4765	451	82	k	k	PROPN
ejpam-4765	451	83	,	,	PUNCT
ejpam-4765	451	84	ρ̂	ρ̂	NUM
ejpam-4765	451	85	(	(	PUNCT
ejpam-4765	451	86	α	α	NOUN
ejpam-4765	451	87	,	,	PUNCT
ejpam-4765	451	88	β	β	NOUN
ejpam-4765	451	89	)	)	PUNCT
ejpam-4765	451	90	−	−	ADP
ejpam-4765	451	91	η(q	η(q	NOUN
ejpam-4765	451	92	,	,	PUNCT
ejpam-4765	451	93	α	α	NOUN
ejpam-4765	451	94	,	,	PUNCT
ejpam-4765	451	95	β	β	NOUN
ejpam-4765	451	96	)	)	PUNCT
ejpam-4765	451	97	)	)	PUNCT
ejpam-4765	452	1	(	(	PUNCT
ejpam-4765	452	2	k	k	X
ejpam-4765	452	3	/	/	SYM
ejpam-4765	452	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	452	5	,	,	PUNCT
ejpam-4765	452	6	n	n	X
ejpam-4765	452	7	d→	d→	X
ejpam-4765	452	8	n	n	CCONJ
ejpam-4765	452	9	(	(	PUNCT
ejpam-4765	452	10	0	0	NUM
ejpam-4765	452	11	,	,	PUNCT
ejpam-4765	452	12	ãv(γ	ãv(γ	ADV
ejpam-4765	452	13	,	,	PUNCT
ejpam-4765	452	14	ρ	ρ	PROPN
ejpam-4765	452	15	,	,	PUNCT
ejpam-4765	452	16	α	α	NOUN
ejpam-4765	452	17	)	)	PUNCT
ejpam-4765	452	18	)	)	PUNCT
ejpam-4765	452	19	,	,	PUNCT
ejpam-4765	452	20	where	where	SCONJ
ejpam-4765	452	21	ãv(γ	ãv(γ	ADV
ejpam-4765	452	22	,	,	PUNCT
ejpam-4765	452	23	ρ	ρ	PROPN
ejpam-4765	452	24	,	,	PUNCT
ejpam-4765	452	25	α	α	NOUN
ejpam-4765	452	26	)	)	PUNCT
ejpam-4765	452	27	=	=	PUNCT
ejpam-4765	453	1	γ4(γ	γ4(γ	NOUN
ejpam-4765	453	2	−	−	NOUN
ejpam-4765	453	3	ρ)2	ρ)2	NOUN
ejpam-4765	453	4	(	(	PUNCT
ejpam-4765	453	5	2γ	2γ	NUM
ejpam-4765	453	6	−	−	PROPN
ejpam-4765	453	7	1)(1	1)(1	NUM
ejpam-4765	453	8	−	−	ADP
ejpam-4765	453	9	γ)4(γ	γ)4(γ	NOUN
ejpam-4765	453	10	+	+	CCONJ
ejpam-4765	453	11	ρ−	ρ−	PROPN
ejpam-4765	453	12	1)2	1)2	NUM
ejpam-4765	453	13	l2(q	l2(q	PROPN
ejpam-4765	453	14	,	,	PUNCT
ejpam-4765	453	15	α	α	NOUN
ejpam-4765	453	16	)	)	PUNCT
ejpam-4765	453	17	.	.	PUNCT
ejpam-4765	454	1	proof	proof	NOUN
ejpam-4765	454	2	of	of	ADP
ejpam-4765	454	3	theorem	theorem	NOUN
ejpam-4765	454	4	2	2	NUM
ejpam-4765	454	5	for	for	ADP
ejpam-4765	454	6	simplify	simplify	NOUN
ejpam-4765	454	7	the	the	DET
ejpam-4765	454	8	proof	proof	NOUN
ejpam-4765	454	9	,	,	PUNCT
ejpam-4765	454	10	we	we	PRON
ejpam-4765	454	11	introduce	introduce	VERB
ejpam-4765	454	12	the	the	DET
ejpam-4765	454	13	following	following	ADJ
ejpam-4765	454	14	lemmas	lemmas	PROPN
ejpam-4765	454	15	,	,	PUNCT
ejpam-4765	454	16	whose	whose	DET
ejpam-4765	454	17	proofs	proof	NOUN
ejpam-4765	454	18	are	be	AUX
ejpam-4765	454	19	given	give	VERB
ejpam-4765	454	20	just	just	ADV
ejpam-4765	454	21	after	after	ADP
ejpam-4765	454	22	this	this	DET
ejpam-4765	454	23	one	one	NUM
ejpam-4765	454	24	.	.	PUNCT
ejpam-4765	455	1	lemma	lemma	PROPN
ejpam-4765	455	2	4	4	X
ejpam-4765	455	3	.	.	PUNCT
ejpam-4765	455	4	suppose	suppose	VERB
ejpam-4765	455	5	that	that	SCONJ
ejpam-4765	455	6	the	the	DET
ejpam-4765	455	7	distribution	distribution	NOUN
ejpam-4765	455	8	f	f	PROPN
ejpam-4765	455	9	satisfies	satisfy	VERB
ejpam-4765	455	10	the	the	DET
ejpam-4765	455	11	second	second	ADJ
ejpam-4765	455	12	order	order	NOUN
ejpam-4765	455	13	condition	condition	NOUN
ejpam-4765	455	14	(	(	PUNCT
ejpam-4765	455	15	ru	ru	NOUN
ejpam-4765	455	16	)	)	PUNCT
ejpam-4765	455	17	.	.	PUNCT
ejpam-4765	456	1	if	if	SCONJ
ejpam-4765	456	2	k	k	PROPN
ejpam-4765	456	3	→	→	SYM
ejpam-4765	456	4	∞	∞	PROPN
ejpam-4765	456	5	,	,	PUNCT
ejpam-4765	456	6	k	k	X
ejpam-4765	456	7	/	/	SYM
ejpam-4765	456	8	n	n	PROPN
ejpam-4765	456	9	→	→	SYM
ejpam-4765	456	10	0	0	NUM
ejpam-4765	456	11	and	and	CCONJ
ejpam-4765	456	12	√	√	NOUN
ejpam-4765	456	13	k	k	PROPN
ejpam-4765	456	14	a(n	a(n	PROPN
ejpam-4765	456	15	/	/	SYM
ejpam-4765	456	16	k	k	NOUN
ejpam-4765	456	17	)	)	PUNCT
ejpam-4765	456	18	→	→	PUNCT
ejpam-4765	456	19	λ	λ	X
ejpam-4765	456	20	∈	∈	PROPN
ejpam-4765	456	21	r	r	NOUN
ejpam-4765	456	22	,	,	PUNCT
ejpam-4765	456	23	as	as	ADP
ejpam-4765	456	24	n	n	NUM
ejpam-4765	456	25	→	→	SYM
ejpam-4765	456	26	∞	∞	PROPN
ejpam-4765	456	27	and	and	CCONJ
ejpam-4765	456	28	ρ̂	ρ̂	NUM
ejpam-4765	456	29	is	be	AUX
ejpam-4765	456	30	either	either	CCONJ
ejpam-4765	456	31	a	a	DET
ejpam-4765	456	32	canonical	canonical	ADJ
ejpam-4765	456	33	negative	negative	ADJ
ejpam-4765	456	34	value	value	NOUN
ejpam-4765	456	35	ρ̂	ρ̂	NUM
ejpam-4765	456	36	=	=	SYM
ejpam-4765	456	37	ρ	ρ	PROPN
ejpam-4765	456	38	=	=	SYM
ejpam-4765	456	39	ρ0	ρ0	PROPN
ejpam-4765	456	40	or	or	CCONJ
ejpam-4765	456	41	an	an	DET
ejpam-4765	456	42	external	external	ADJ
ejpam-4765	456	43	estimator	estimator	NOUN
ejpam-4765	456	44	ρ̂	ρ̂	NUM
ejpam-4765	456	45	=	=	SYM
ejpam-4765	456	46	ρ̂kρ	ρ̂kρ	NOUN
ejpam-4765	456	47	,	,	PUNCT
ejpam-4765	456	48	consistent	consistent	ADJ
ejpam-4765	456	49	in	in	ADP
ejpam-4765	456	50	probability	probability	NOUN
ejpam-4765	456	51	to	to	ADP
ejpam-4765	456	52	ρ	ρ	NUM
ejpam-4765	456	53	,	,	PUNCT
ejpam-4765	456	54	with	with	ADP
ejpam-4765	456	55	kρ	kρ	NOUN
ejpam-4765	456	56	:	:	PUNCT
ejpam-4765	456	57	=	=	SYM
ejpam-4765	456	58	kρ(n	kρ(n	X
ejpam-4765	456	59	)	)	PUNCT
ejpam-4765	456	60	an	an	DET
ejpam-4765	456	61	intermediate	intermediate	ADJ
ejpam-4765	456	62	sequence	sequence	NOUN
ejpam-4765	456	63	of	of	ADP
ejpam-4765	456	64	integers	integer	NOUN
ejpam-4765	456	65	greater	great	ADJ
ejpam-4765	456	66	than	than	ADP
ejpam-4765	456	67	k	k	PROPN
ejpam-4765	456	68	,	,	PUNCT
ejpam-4765	456	69	satisfying	satisfy	VERB
ejpam-4765	456	70	kρ	kρ	NOUN
ejpam-4765	456	71	→	→	SYM
ejpam-4765	456	72	∞	∞	NUM
ejpam-4765	456	73	and	and	CCONJ
ejpam-4765	456	74	kρ	kρ	PROPN
ejpam-4765	456	75	/	/	SYM
ejpam-4765	456	76	n	n	PROPN
ejpam-4765	456	77	→	→	SYM
ejpam-4765	456	78	0	0	NUM
ejpam-4765	456	79	,	,	PUNCT
ejpam-4765	456	80	as	as	ADP
ejpam-4765	456	81	n	n	X
ejpam-4765	456	82	→	→	SYM
ejpam-4765	456	83	∞	∞	PROPN
ejpam-4765	456	84	,	,	PUNCT
ejpam-4765	456	85	then	then	ADV
ejpam-4765	456	86	we	we	PRON
ejpam-4765	456	87	have	have	VERB
ejpam-4765	456	88	√	√	NUM
ejpam-4765	456	89	k	k	X
ejpam-4765	456	90	γ̂	γ̂	ADV
ejpam-4765	457	1	(	(	PUNCT
ejpam-4765	457	2	k	k	PROPN
ejpam-4765	457	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	457	4	opt	opt	PROPN
ejpam-4765	457	5	)	)	PUNCT
ejpam-4765	457	6	n	n	CCONJ
ejpam-4765	457	7	,	,	PUNCT
ejpam-4765	457	8	k	k	PROPN
ejpam-4765	457	9	−	−	PROPN
ejpam-4765	457	10	γ	γ	X
ejpam-4765	457	11			PROPN
ejpam-4765	457	12	d	d	NOUN
ejpam-4765	457	13	=	=	SYM
ejpam-4765	457	14	γ	γ	NOUN
ejpam-4765	457	15	√	√	NUM
ejpam-4765	457	16	n	n	CCONJ
ejpam-4765	457	17	/	/	SYM
ejpam-4765	457	18	k	k	NOUN
ejpam-4765	457	19	∫	∫	PROPN
ejpam-4765	457	20	1	1	NUM
ejpam-4765	457	21	0	0	NUM
ejpam-4765	457	22	s−1bn(1	s−1bn(1	X
ejpam-4765	457	23	−	−	NOUN
ejpam-4765	457	24	sk	sk	PROPN
ejpam-4765	457	25	/	/	SYM
ejpam-4765	457	26	n)d(sk∆∗	n)d(sk∆∗	NOUN
ejpam-4765	457	27	opt	opt	NOUN
ejpam-4765	457	28	(	(	PUNCT
ejpam-4765	457	29	s	s	NOUN
ejpam-4765	457	30	)	)	PUNCT
ejpam-4765	457	31	)	)	PUNCT
ejpam-4765	458	1	+	+	CCONJ
ejpam-4765	458	2	op	op	NOUN
ejpam-4765	458	3	(	(	PUNCT
ejpam-4765	458	4	1	1	NUM
ejpam-4765	458	5	)	)	PUNCT
ejpam-4765	458	6	and	and	CCONJ
ejpam-4765	458	7	√	√	ADV
ejpam-4765	458	8	k	k	PROPN
ejpam-4765	458	9	(	(	PUNCT
ejpam-4765	458	10	ân	ân	PROPN
ejpam-4765	458	11	,	,	PUNCT
ejpam-4765	458	12	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	458	13	)	)	PUNCT
ejpam-4765	458	14	−	−	PROPN
ejpam-4765	458	15	a(n	a(n	NOUN
ejpam-4765	458	16	/	/	SYM
ejpam-4765	458	17	k	k	NOUN
ejpam-4765	458	18	)	)	PUNCT
ejpam-4765	458	19	)	)	PUNCT
ejpam-4765	459	1	d	d	NOUN
ejpam-4765	459	2	=	=	SYM
ejpam-4765	459	3	γ	γ	X
ejpam-4765	459	4	(	(	PUNCT
ejpam-4765	459	5	1	1	NUM
ejpam-4765	459	6	−	−	PROPN
ejpam-4765	459	7	ρ	ρ	PROPN
ejpam-4765	459	8	)	)	PUNCT
ejpam-4765	459	9	√	√	PROPN
ejpam-4765	459	10	n	n	CCONJ
ejpam-4765	459	11	/	/	SYM
ejpam-4765	459	12	k	k	NOUN
ejpam-4765	459	13	∫	∫	PROPN
ejpam-4765	459	14	1	1	NUM
ejpam-4765	459	15	0	0	NUM
ejpam-4765	459	16	s−1bn(1−sk	s−1bn(1−sk	PROPN
ejpam-4765	459	17	/	/	SYM
ejpam-4765	459	18	n)d(s(k1(s)−k∆∗	n)d(s(k1(s)−k∆∗	PROPN
ejpam-4765	459	19	opt	opt	NOUN
ejpam-4765	459	20	(	(	PUNCT
ejpam-4765	459	21	s)))+op	s)))+op	NOUN
ejpam-4765	459	22	(	(	PUNCT
ejpam-4765	459	23	1	1	NUM
ejpam-4765	459	24	)	)	PUNCT
ejpam-4765	459	25	.	.	PUNCT
ejpam-4765	460	1	m.	m.	NOUN
ejpam-4765	460	2	kebe	kebe	PROPN
ejpam-4765	460	3	et	et	PROPN
ejpam-4765	460	4	al	al	PROPN
ejpam-4765	460	5	.	.	PUNCT
ejpam-4765	460	6	/	/	SYM
ejpam-4765	460	7	eur	eur	PROPN
ejpam-4765	460	8	.	.	PUNCT
ejpam-4765	461	1	j.	j.	PROPN
ejpam-4765	461	2	pure	pure	PROPN
ejpam-4765	461	3	appl	appl	PROPN
ejpam-4765	461	4	.	.	PROPN
ejpam-4765	461	5	math	math	PROPN
ejpam-4765	461	6	,	,	PUNCT
ejpam-4765	461	7	16	16	NUM
ejpam-4765	461	8	(	(	PUNCT
ejpam-4765	461	9	4	4	NUM
ejpam-4765	461	10	)	)	PUNCT
ejpam-4765	461	11	(	(	PUNCT
ejpam-4765	461	12	2023	2023	NUM
ejpam-4765	461	13	)	)	PUNCT
ejpam-4765	461	14	,	,	PUNCT
ejpam-4765	461	15	2509	2509	NUM
ejpam-4765	461	16	-	-	SYM
ejpam-4765	461	17	2543	2543	NUM
ejpam-4765	461	18	2529	2529	NUM
ejpam-4765	461	19	lemma	lemma	PROPN
ejpam-4765	461	20	5	5	NUM
ejpam-4765	461	21	.	.	PUNCT
ejpam-4765	462	1	under	under	ADP
ejpam-4765	462	2	the	the	DET
ejpam-4765	462	3	assumptions	assumption	NOUN
ejpam-4765	462	4	of	of	ADP
ejpam-4765	462	5	theorem	theorem	NOUN
ejpam-4765	462	6	2	2	NUM
ejpam-4765	462	7	,	,	PUNCT
ejpam-4765	462	8	we	we	PRON
ejpam-4765	462	9	have	have	VERB
ejpam-4765	462	10	for	for	ADP
ejpam-4765	462	11	0	0	NUM
ejpam-4765	462	12	<	<	X
ejpam-4765	462	13	α	α	X
ejpam-4765	462	14	<	<	X
ejpam-4765	462	15	1	1	NUM
ejpam-4765	462	16	−	−	PROPN
ejpam-4765	462	17	k	k	NOUN
ejpam-4765	462	18	/	/	SYM
ejpam-4765	462	19	n	n	CCONJ
ejpam-4765	462	20	:	:	PUNCT
ejpam-4765	462	21	√	√	PROPN
ejpam-4765	462	22	n	n	PRON
ejpam-4765	462	23			PROPN
ejpam-4765	462	24	un	un	PROPN
ejpam-4765	462	25	,	,	PUNCT
ejpam-4765	462	26	k,2	k,2	X
ejpam-4765	462	27	(	(	PUNCT
ejpam-4765	462	28	q	q	PROPN
ejpam-4765	462	29	(	(	PUNCT
ejpam-4765	462	30	k	k	PROPN
ejpam-4765	462	31	∆̂∗	∆̂∗	PROPN
ejpam-4765	462	32	opt	opt	PROPN
ejpam-4765	462	33	)	)	PUNCT
ejpam-4765	462	34	n	n	CCONJ
ejpam-4765	462	35	,	,	PUNCT
ejpam-4765	462	36	k	k	PROPN
ejpam-4765	462	37	,	,	PUNCT
ejpam-4765	462	38	ρ̂	ρ̂	NUM
ejpam-4765	462	39	)	)	PUNCT
ejpam-4765	463	1	ln(α	ln(α	PROPN
ejpam-4765	463	2	)	)	PUNCT
ejpam-4765	464	1	−	−	PRON
ejpam-4765	464	2	un	un	PROPN
ejpam-4765	464	3	,	,	PUNCT
ejpam-4765	464	4	k,2(q	k,2(q	PROPN
ejpam-4765	464	5	)	)	PUNCT
ejpam-4765	464	6	l(q	l(q	PROPN
ejpam-4765	464	7	,	,	PUNCT
ejpam-4765	464	8	α	α	NOUN
ejpam-4765	464	9	)	)	PUNCT
ejpam-4765	464	10			PROPN
ejpam-4765	464	11	(	(	PUNCT
ejpam-4765	464	12	k	k	X
ejpam-4765	464	13	/	/	SYM
ejpam-4765	464	14	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	464	15	,	,	PUNCT
ejpam-4765	464	16	n	n	PROPN
ejpam-4765	464	17	d	d	NOUN
ejpam-4765	464	18	=	=	SYM
ejpam-4765	464	19	wn	wn	PROPN
ejpam-4765	464	20	,	,	PUNCT
ejpam-4765	464	21	α,1	α,1	PROPN
ejpam-4765	464	22	+	+	CCONJ
ejpam-4765	464	23	wn	wn	PROPN
ejpam-4765	464	24	,	,	PUNCT
ejpam-4765	464	25	α,2	α,2	NUM
ejpam-4765	464	26	+	+	CCONJ
ejpam-4765	464	27	wn	wn	PROPN
ejpam-4765	464	28	,	,	PUNCT
ejpam-4765	464	29	α,4	α,4	PROPN
ejpam-4765	464	30	+	+	CCONJ
ejpam-4765	464	31	wn	wn	PROPN
ejpam-4765	464	32	,	,	PUNCT
ejpam-4765	464	33	α,5	α,5	PROPN
ejpam-4765	464	34	+	+	SYM
ejpam-4765	464	35	op(1),(44	op(1),(44	NOUN
ejpam-4765	464	36	)	)	PUNCT
ejpam-4765	464	37	as	as	ADP
ejpam-4765	464	38	n	n	PROPN
ejpam-4765	464	39	→	→	SYM
ejpam-4765	464	40	∞	∞	PROPN
ejpam-4765	464	41	,	,	PUNCT
ejpam-4765	464	42	where	where	PROPN
ejpam-4765	464	43	wn	wn	PROPN
ejpam-4765	464	44	,	,	PUNCT
ejpam-4765	464	45	α,4	α,4	NUM
ejpam-4765	464	46	:	:	PUNCT
ejpam-4765	464	47	=	=	SYM
ejpam-4765	464	48	ργ2	ργ2	X
ejpam-4765	464	49	(	(	PUNCT
ejpam-4765	464	50	γ	γ	X
ejpam-4765	464	51	+	+	CCONJ
ejpam-4765	464	52	ρ−	ρ−	PROPN
ejpam-4765	464	53	1)(1	1)(1	NUM
ejpam-4765	464	54	−	−	NOUN
ejpam-4765	464	55	γ)2	γ)2	NOUN
ejpam-4765	464	56	l(q	l(q	PROPN
ejpam-4765	464	57	,	,	PUNCT
ejpam-4765	464	58	α	α	NOUN
ejpam-4765	464	59	)	)	PUNCT
ejpam-4765	464	60	√	√	PROPN
ejpam-4765	464	61	n	n	CCONJ
ejpam-4765	464	62	/	/	SYM
ejpam-4765	464	63	k	k	NOUN
ejpam-4765	465	1	∫	∫	PROPN
ejpam-4765	465	2	1	1	NUM
ejpam-4765	465	3	0	0	NUM
ejpam-4765	465	4	s−1bn(1	s−1bn(1	X
ejpam-4765	465	5	−	−	NOUN
ejpam-4765	465	6	sk	sk	PROPN
ejpam-4765	465	7	/	/	SYM
ejpam-4765	465	8	n)d(sk∆∗	n)d(sk∆∗	NOUN
ejpam-4765	465	9	opt	opt	NOUN
ejpam-4765	465	10	(	(	PUNCT
ejpam-4765	465	11	s	s	NOUN
ejpam-4765	465	12	)	)	PUNCT
ejpam-4765	465	13	)	)	PUNCT
ejpam-4765	465	14	wn	wn	PROPN
ejpam-4765	465	15	,	,	PUNCT
ejpam-4765	465	16	α,5	α,5	NUM
ejpam-4765	465	17	:	:	PUNCT
ejpam-4765	465	18	=	=	SYM
ejpam-4765	465	19	−(1	−(1	ADP
ejpam-4765	465	20	−	−	NOUN
ejpam-4765	465	21	γ)(1	γ)(1	PUNCT
ejpam-4765	466	1	−	−	PROPN
ejpam-4765	466	2	ρ	ρ	PROPN
ejpam-4765	466	3	)	)	PUNCT
ejpam-4765	466	4	(	(	PUNCT
ejpam-4765	466	5	γ	γ	X
ejpam-4765	466	6	+	+	CCONJ
ejpam-4765	466	7	ρ−	ρ−	PROPN
ejpam-4765	466	8	1	1	NUM
ejpam-4765	466	9	)	)	PUNCT
ejpam-4765	466	10	wn	wn	PROPN
ejpam-4765	466	11	,	,	PUNCT
ejpam-4765	466	12	α,3	α,3	PROPN
ejpam-4765	466	13	.	.	PUNCT
ejpam-4765	467	1	now	now	ADV
ejpam-4765	467	2	coming	come	VERB
ejpam-4765	467	3	back	back	ADV
ejpam-4765	467	4	to	to	ADP
ejpam-4765	467	5	this	this	DET
ejpam-4765	467	6	proof	proof	NOUN
ejpam-4765	467	7	,	,	PUNCT
ejpam-4765	467	8	under	under	ADP
ejpam-4765	467	9	the	the	DET
ejpam-4765	467	10	assumptions	assumption	NOUN
ejpam-4765	467	11	,	,	PUNCT
ejpam-4765	467	12	we	we	PRON
ejpam-4765	467	13	have	have	VERB
ejpam-4765	467	14	:	:	PUNCT
ejpam-4765	467	15	η̂	η̂	NUM
ejpam-4765	467	16	(	(	PUNCT
ejpam-4765	467	17	k	k	PROPN
ejpam-4765	467	18	∆̂∗	∆̂∗	PROPN
ejpam-4765	467	19	opt	opt	PROPN
ejpam-4765	467	20	)	)	PUNCT
ejpam-4765	467	21	n	n	CCONJ
ejpam-4765	467	22	,	,	PUNCT
ejpam-4765	467	23	k	k	PROPN
ejpam-4765	467	24	(	(	PUNCT
ejpam-4765	467	25	α	α	NOUN
ejpam-4765	467	26	,	,	PUNCT
ejpam-4765	467	27	β	β	NOUN
ejpam-4765	467	28	)	)	PUNCT
ejpam-4765	468	1	−	−	ADP
ejpam-4765	468	2	η(q	η(q	NOUN
ejpam-4765	468	3	,	,	PUNCT
ejpam-4765	468	4	α	α	NOUN
ejpam-4765	468	5	,	,	PUNCT
ejpam-4765	468	6	β	β	NOUN
ejpam-4765	468	7	)	)	PUNCT
ejpam-4765	468	8	=	=	SYM
ejpam-4765	468	9	{	{	PUNCT
ejpam-4765	468	10	un	un	PROPN
ejpam-4765	468	11	,	,	PUNCT
ejpam-4765	468	12	k,1(qn	k,1(qn	PROPN
ejpam-4765	468	13	,	,	PUNCT
ejpam-4765	468	14	β	β	NOUN
ejpam-4765	468	15	)	)	PUNCT
ejpam-4765	468	16	ln(α	ln(α	PROPN
ejpam-4765	468	17	)	)	PUNCT
ejpam-4765	468	18	−	−	PRON
ejpam-4765	468	19	un	un	PROPN
ejpam-4765	468	20	,	,	PUNCT
ejpam-4765	468	21	k,1(q	k,1(q	NOUN
ejpam-4765	468	22	,	,	PUNCT
ejpam-4765	468	23	β	β	NOUN
ejpam-4765	468	24	)	)	PUNCT
ejpam-4765	468	25	l(q	l(q	PROPN
ejpam-4765	468	26	,	,	PUNCT
ejpam-4765	468	27	α	α	NOUN
ejpam-4765	468	28	)	)	PUNCT
ejpam-4765	468	29	}	}	PUNCT
ejpam-4765	469	1	+	+	CCONJ
ejpam-4765	469	2			NUM
ejpam-4765	469	3	un	un	PROPN
ejpam-4765	469	4	,	,	PUNCT
ejpam-4765	469	5	k,2	k,2	X
ejpam-4765	469	6	(	(	PUNCT
ejpam-4765	469	7	q	q	PROPN
ejpam-4765	469	8	k	k	PROPN
ejpam-4765	469	9	∆̂∗	∆̂∗	PROPN
ejpam-4765	469	10	opt	opt	PROPN
ejpam-4765	469	11	)	)	PUNCT
ejpam-4765	469	12	n	n	CCONJ
ejpam-4765	469	13	,	,	PUNCT
ejpam-4765	469	14	k	k	PROPN
ejpam-4765	469	15	)	)	PUNCT
ejpam-4765	469	16	ln(α	ln(α	PROPN
ejpam-4765	469	17	)	)	PUNCT
ejpam-4765	469	18	−	−	PRON
ejpam-4765	469	19	un	un	PROPN
ejpam-4765	469	20	,	,	PUNCT
ejpam-4765	469	21	k,2(q	k,2(q	PROPN
ejpam-4765	469	22	)	)	PUNCT
ejpam-4765	469	23	l(q	l(q	PROPN
ejpam-4765	469	24	,	,	PUNCT
ejpam-4765	469	25	α	α	NOUN
ejpam-4765	469	26	)	)	PUNCT
ejpam-4765	469	27			NOUN
ejpam-4765	469	28	:	:	PUNCT
ejpam-4765	469	29	=	=	SYM
ejpam-4765	469	30	bn,1	bn,1	PROPN
ejpam-4765	469	31	+	+	CCONJ
ejpam-4765	469	32	bn,2	bn,2	PROPN
ejpam-4765	469	33	.	.	PUNCT
ejpam-4765	470	1	(	(	PUNCT
ejpam-4765	470	2	45	45	NUM
ejpam-4765	470	3	)	)	PUNCT
ejpam-4765	470	4	for	for	ADP
ejpam-4765	470	5	all	all	DET
ejpam-4765	470	6	values	value	NOUN
ejpam-4765	470	7	of	of	ADP
ejpam-4765	470	8	n	n	CCONJ
ejpam-4765	470	9	large	large	ADJ
ejpam-4765	470	10	enough	enough	ADV
ejpam-4765	470	11	,	,	PUNCT
ejpam-4765	470	12	we	we	PRON
ejpam-4765	470	13	get	get	VERB
ejpam-4765	470	14	respectively	respectively	ADV
ejpam-4765	470	15	from	from	ADP
ejpam-4765	470	16	lemma	lemma	PROPN
ejpam-4765	470	17	4	4	NUM
ejpam-4765	470	18	and	and	CCONJ
ejpam-4765	470	19	lemma	lemma	PROPN
ejpam-4765	470	20	5	5	NUM
ejpam-4765	470	21	:	:	PUNCT
ejpam-4765	470	22	√	√	PROPN
ejpam-4765	470	23	n	n	PRON
ejpam-4765	470	24	bn,1	bn,1	PROPN
ejpam-4765	470	25	(	(	PUNCT
ejpam-4765	470	26	k	k	NOUN
ejpam-4765	470	27	/	/	SYM
ejpam-4765	470	28	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	470	29	,	,	PUNCT
ejpam-4765	470	30	n	n	PROPN
ejpam-4765	470	31	d	d	NOUN
ejpam-4765	470	32	=	=	SYM
ejpam-4765	470	33	wn	wn	PROPN
ejpam-4765	470	34	,	,	PUNCT
ejpam-4765	470	35	α,1	α,1	NOUN
ejpam-4765	470	36	+	+	CCONJ
ejpam-4765	470	37	op(1	op(1	NOUN
ejpam-4765	470	38	)	)	PUNCT
ejpam-4765	470	39	,	,	PUNCT
ejpam-4765	470	40	and	and	CCONJ
ejpam-4765	470	41	√	√	VERB
ejpam-4765	470	42	nbn,2	nbn,2	PROPN
ejpam-4765	470	43	(	(	PUNCT
ejpam-4765	470	44	k	k	NOUN
ejpam-4765	470	45	/	/	SYM
ejpam-4765	470	46	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	470	47	,	,	PUNCT
ejpam-4765	470	48	n	n	PROPN
ejpam-4765	470	49	d	d	NOUN
ejpam-4765	470	50	=	=	SYM
ejpam-4765	470	51	wn	wn	PROPN
ejpam-4765	470	52	,	,	PUNCT
ejpam-4765	470	53	α,2	α,2	NUM
ejpam-4765	471	1	+	+	CCONJ
ejpam-4765	471	2	wn	wn	PROPN
ejpam-4765	471	3	,	,	PUNCT
ejpam-4765	471	4	α,4	α,4	PROPN
ejpam-4765	471	5	+	+	CCONJ
ejpam-4765	471	6	wn	wn	PROPN
ejpam-4765	471	7	,	,	PUNCT
ejpam-4765	471	8	α,5	α,5	PROPN
ejpam-4765	471	9	+	+	CCONJ
ejpam-4765	471	10	op(1	op(1	NOUN
ejpam-4765	471	11	)	)	PUNCT
ejpam-4765	471	12	.	.	PUNCT
ejpam-4765	472	1	this	this	PRON
ejpam-4765	472	2	leads	lead	VERB
ejpam-4765	472	3	to	to	ADP
ejpam-4765	472	4	√	√	PROPN
ejpam-4765	472	5	n	n	CCONJ
ejpam-4765	472	6	(	(	PUNCT
ejpam-4765	472	7	η̂	η̂	PROPN
ejpam-4765	472	8	(	(	PUNCT
ejpam-4765	472	9	k	k	NOUN
ejpam-4765	472	10	)	)	PUNCT
ejpam-4765	472	11	n	n	CCONJ
ejpam-4765	472	12	,	,	PUNCT
ejpam-4765	472	13	k	k	PROPN
ejpam-4765	472	14	(	(	PUNCT
ejpam-4765	472	15	α	α	NOUN
ejpam-4765	472	16	,	,	PUNCT
ejpam-4765	472	17	β	β	NOUN
ejpam-4765	472	18	)	)	PUNCT
ejpam-4765	472	19	−	−	ADP
ejpam-4765	472	20	η(q	η(q	NOUN
ejpam-4765	472	21	,	,	PUNCT
ejpam-4765	472	22	α	α	NOUN
ejpam-4765	472	23	,	,	PUNCT
ejpam-4765	472	24	β	β	NOUN
ejpam-4765	472	25	)	)	PUNCT
ejpam-4765	472	26	)	)	PUNCT
ejpam-4765	473	1	(	(	PUNCT
ejpam-4765	473	2	k	k	X
ejpam-4765	473	3	/	/	SYM
ejpam-4765	473	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	473	5	,	,	PUNCT
ejpam-4765	473	6	n	n	PROPN
ejpam-4765	473	7	d	d	NOUN
ejpam-4765	473	8	=	=	SYM
ejpam-4765	473	9	wn	wn	PROPN
ejpam-4765	473	10	,	,	PUNCT
ejpam-4765	473	11	α,1	α,1	PROPN
ejpam-4765	473	12	+	+	CCONJ
ejpam-4765	473	13	wn	wn	PROPN
ejpam-4765	473	14	,	,	PUNCT
ejpam-4765	473	15	α,2	α,2	NUM
ejpam-4765	474	1	+	+	CCONJ
ejpam-4765	474	2	wn	wn	PROPN
ejpam-4765	474	3	,	,	PUNCT
ejpam-4765	474	4	α,4	α,4	PROPN
ejpam-4765	474	5	+	+	CCONJ
ejpam-4765	474	6	wn	wn	PROPN
ejpam-4765	474	7	,	,	PUNCT
ejpam-4765	474	8	α,5	α,5	PROPN
ejpam-4765	474	9	+	+	CCONJ
ejpam-4765	474	10	op(1	op(1	NOUN
ejpam-4765	474	11	)	)	PUNCT
ejpam-4765	474	12	.	.	PUNCT
ejpam-4765	475	1	(	(	PUNCT
ejpam-4765	475	2	46	46	X
ejpam-4765	475	3	)	)	PUNCT
ejpam-4765	475	4	we	we	PRON
ejpam-4765	475	5	only	only	ADV
ejpam-4765	475	6	have	have	VERB
ejpam-4765	475	7	to	to	PART
ejpam-4765	475	8	compute	compute	VERB
ejpam-4765	475	9	the	the	DET
ejpam-4765	475	10	asymptotic	asymptotic	ADJ
ejpam-4765	475	11	variance	variance	NOUN
ejpam-4765	475	12	of	of	ADP
ejpam-4765	475	13	the	the	DET
ejpam-4765	475	14	sum	sum	NOUN
ejpam-4765	475	15	of	of	ADP
ejpam-4765	475	16	process	process	NOUN
ejpam-4765	475	17	in	in	ADP
ejpam-4765	475	18	the	the	DET
ejpam-4765	475	19	right	right	ADJ
ejpam-4765	475	20	term	term	NOUN
ejpam-4765	475	21	of	of	ADP
ejpam-4765	475	22	(	(	PUNCT
ejpam-4765	475	23	46	46	NUM
ejpam-4765	475	24	)	)	PUNCT
ejpam-4765	475	25	.	.	PUNCT
ejpam-4765	476	1	as	as	ADP
ejpam-4765	476	2	in	in	ADP
ejpam-4765	476	3	theorem	theorem	NOUN
ejpam-4765	476	4	1	1	NUM
ejpam-4765	476	5	,	,	PUNCT
ejpam-4765	476	6	the	the	DET
ejpam-4765	476	7	computations	computation	NOUN
ejpam-4765	476	8	are	be	AUX
ejpam-4765	476	9	quite	quite	ADV
ejpam-4765	476	10	direct	direct	ADJ
ejpam-4765	476	11	and	and	CCONJ
ejpam-4765	476	12	the	the	DET
ejpam-4765	476	13	desired	desire	VERB
ejpam-4765	476	14	asymptotic	asymptotic	ADJ
ejpam-4765	476	15	variance	variance	NOUN
ejpam-4765	476	16	can	can	AUX
ejpam-4765	476	17	be	be	AUX
ejpam-4765	476	18	obtained	obtain	VERB
ejpam-4765	476	19	by	by	ADP
ejpam-4765	476	20	noticing	notice	VERB
ejpam-4765	476	21	that	that	SCONJ
ejpam-4765	476	22	ew	ew	ADP
ejpam-4765	476	23	2	2	NUM
ejpam-4765	476	24	n	n	CCONJ
ejpam-4765	476	25	,	,	PUNCT
ejpam-4765	476	26	α,5	α,5	PROPN
ejpam-4765	476	27	−→	−→	NOUN
ejpam-4765	476	28	γ2(1	γ2(1	NOUN
ejpam-4765	476	29	−	−	NOUN
ejpam-4765	476	30	ρ)2	ρ)2	NOUN
ejpam-4765	476	31	(	(	PUNCT
ejpam-4765	476	32	1	1	NUM
ejpam-4765	476	33	−	−	PROPN
ejpam-4765	476	34	γ)2(γ	γ)2(γ	PROPN
ejpam-4765	477	1	+	+	CCONJ
ejpam-4765	477	2	ρ−	ρ−	PROPN
ejpam-4765	478	1	1)2	1)2	NUM
ejpam-4765	478	2	l2(q	l2(q	PROPN
ejpam-4765	478	3	,	,	PUNCT
ejpam-4765	478	4	α	α	NOUN
ejpam-4765	478	5	)	)	PUNCT
ejpam-4765	478	6	m.	m.	NOUN
ejpam-4765	479	1	kebe	kebe	PROPN
ejpam-4765	479	2	et	et	PROPN
ejpam-4765	479	3	al	al	PROPN
ejpam-4765	479	4	.	.	PUNCT
ejpam-4765	479	5	/	/	SYM
ejpam-4765	479	6	eur	eur	PROPN
ejpam-4765	479	7	.	.	PUNCT
ejpam-4765	480	1	j.	j.	PROPN
ejpam-4765	480	2	pure	pure	PROPN
ejpam-4765	480	3	appl	appl	PROPN
ejpam-4765	480	4	.	.	PROPN
ejpam-4765	480	5	math	math	PROPN
ejpam-4765	480	6	,	,	PUNCT
ejpam-4765	480	7	16	16	NUM
ejpam-4765	480	8	(	(	PUNCT
ejpam-4765	480	9	4	4	NUM
ejpam-4765	480	10	)	)	PUNCT
ejpam-4765	480	11	(	(	PUNCT
ejpam-4765	480	12	2023	2023	NUM
ejpam-4765	480	13	)	)	PUNCT
ejpam-4765	480	14	,	,	PUNCT
ejpam-4765	480	15	2509	2509	NUM
ejpam-4765	480	16	-	-	SYM
ejpam-4765	480	17	2543	2543	NUM
ejpam-4765	480	18	2530	2530	NUM
ejpam-4765	480	19	e(wn	e(wn	NOUN
ejpam-4765	480	20	,	,	PUNCT
ejpam-4765	480	21	α,1wn	α,1wn	NOUN
ejpam-4765	480	22	,	,	PUNCT
ejpam-4765	480	23	α,4	α,4	NUM
ejpam-4765	480	24	)	)	PUNCT
ejpam-4765	481	1	=	=	SYM
ejpam-4765	481	2	0	0	NUM
ejpam-4765	481	3	e(wn	e(wn	NOUN
ejpam-4765	481	4	,	,	PUNCT
ejpam-4765	481	5	α,5	α,5	NUM
ejpam-4765	481	6	)	)	PUNCT
ejpam-4765	481	7	=	=	SYM
ejpam-4765	482	1	0	0	NUM
ejpam-4765	482	2	ew	ew	NUM
ejpam-4765	482	3	2	2	NUM
ejpam-4765	482	4	n	n	NOUN
ejpam-4765	482	5	,	,	PUNCT
ejpam-4765	482	6	α,4	α,4	NUM
ejpam-4765	482	7	=	=	SYM
ejpam-4765	482	8	γ4(1	γ4(1	PROPN
ejpam-4765	482	9	−	−	PROPN
ejpam-4765	482	10	ρ)2	ρ)2	NOUN
ejpam-4765	482	11	(	(	PUNCT
ejpam-4765	482	12	1	1	NUM
ejpam-4765	482	13	−	−	NOUN
ejpam-4765	482	14	γ)4(γ	γ)4(γ	NOUN
ejpam-4765	482	15	+	+	CCONJ
ejpam-4765	482	16	ρ−	ρ−	PROPN
ejpam-4765	482	17	1)2	1)2	NUM
ejpam-4765	482	18	l2(q	l2(q	PROPN
ejpam-4765	482	19	,	,	PUNCT
ejpam-4765	482	20	α	α	NOUN
ejpam-4765	482	21	)	)	PUNCT
ejpam-4765	482	22	e(wn	e(wn	NOUN
ejpam-4765	482	23	,	,	PUNCT
ejpam-4765	482	24	α,2wn	α,2wn	NUM
ejpam-4765	482	25	,	,	PUNCT
ejpam-4765	482	26	α,5	α,5	NUM
ejpam-4765	482	27	)	)	PUNCT
ejpam-4765	483	1	=	=	SYM
ejpam-4765	483	2	0	0	NUM
ejpam-4765	483	3	e(wn	e(wn	NOUN
ejpam-4765	483	4	,	,	PUNCT
ejpam-4765	483	5	α	α	NOUN
ejpam-4765	483	6	,	,	PUNCT
ejpam-4765	483	7	wn	wn	PROPN
ejpam-4765	483	8	,	,	PUNCT
ejpam-4765	483	9	α,4	α,4	NUM
ejpam-4765	483	10	)	)	PUNCT
ejpam-4765	483	11	=	=	SYM
ejpam-4765	483	12	0	0	NUM
ejpam-4765	483	13	e(wn	e(wn	NOUN
ejpam-4765	483	14	,	,	PUNCT
ejpam-4765	483	15	α,4wn	α,4wn	NOUN
ejpam-4765	483	16	,	,	PUNCT
ejpam-4765	483	17	α,5	α,5	NUM
ejpam-4765	483	18	)	)	PUNCT
ejpam-4765	483	19	=	=	PUNCT
ejpam-4765	484	1	−	−	PROPN
ejpam-4765	484	2	ργ3(1	ργ3(1	INTJ
ejpam-4765	484	3	−	−	PROPN
ejpam-4765	484	4	ρ	ρ	PROPN
ejpam-4765	484	5	)	)	PUNCT
ejpam-4765	484	6	(	(	PUNCT
ejpam-4765	484	7	1	1	NUM
ejpam-4765	484	8	−	−	NOUN
ejpam-4765	484	9	γ)3(γ	γ)3(γ	X
ejpam-4765	485	1	+	+	CCONJ
ejpam-4765	485	2	ρ−	ρ−	PROPN
ejpam-4765	485	3	1)2	1)2	NUM
ejpam-4765	485	4	l2(q	l2(q	PROPN
ejpam-4765	485	5	,	,	PUNCT
ejpam-4765	485	6	α	α	NOUN
ejpam-4765	485	7	)	)	PUNCT
ejpam-4765	485	8	.	.	PUNCT
ejpam-4765	486	1	combining	combine	VERB
ejpam-4765	486	2	all	all	DET
ejpam-4765	486	3	these	these	DET
ejpam-4765	486	4	results	result	NOUN
ejpam-4765	486	5	,	,	PUNCT
ejpam-4765	486	6	theorem	theorem	ADJ
ejpam-4765	486	7	2	2	NUM
ejpam-4765	486	8	follows	follow	VERB
ejpam-4765	486	9	.	.	PUNCT
ejpam-4765	487	1	proof	proof	NOUN
ejpam-4765	487	2	of	of	ADP
ejpam-4765	487	3	lemma	lemma	PROPN
ejpam-4765	487	4	4	4	NUM
ejpam-4765	487	5	.	.	PUNCT
ejpam-4765	487	6	note	note	VERB
ejpam-4765	487	7	that	that	SCONJ
ejpam-4765	487	8	the	the	DET
ejpam-4765	487	9	first	first	ADJ
ejpam-4765	487	10	quantity	quantity	NOUN
ejpam-4765	487	11	of	of	ADP
ejpam-4765	487	12	interest	interest	NOUN
ejpam-4765	487	13	can	can	AUX
ejpam-4765	487	14	be	be	AUX
ejpam-4765	487	15	expanded	expand	VERB
ejpam-4765	487	16	as	as	ADP
ejpam-4765	487	17	√	√	PROPN
ejpam-4765	487	18	k	k	X
ejpam-4765	487	19	γ̂	γ̂	ADV
ejpam-4765	487	20	(	(	PUNCT
ejpam-4765	487	21	k	k	PROPN
ejpam-4765	487	22	∆̂∗	∆̂∗	PROPN
ejpam-4765	487	23	opt	opt	PROPN
ejpam-4765	487	24	)	)	PUNCT
ejpam-4765	487	25	n	n	CCONJ
ejpam-4765	487	26	,	,	PUNCT
ejpam-4765	488	1	k	k	PROPN
ejpam-4765	488	2	−	−	PROPN
ejpam-4765	488	3	γ	γ	X
ejpam-4765	488	4			PROPN
ejpam-4765	488	5	=	=	SYM
ejpam-4765	488	6	√	√	PROPN
ejpam-4765	488	7	k	k	NOUN
ejpam-4765	488	8	γ̂	γ̂	ADV
ejpam-4765	488	9	(	(	PUNCT
ejpam-4765	488	10	k	k	PROPN
ejpam-4765	488	11	∆̂∗	∆̂∗	PROPN
ejpam-4765	488	12	opt	opt	PROPN
ejpam-4765	488	13	)	)	PUNCT
ejpam-4765	488	14	n	n	CCONJ
ejpam-4765	488	15	,	,	PUNCT
ejpam-4765	488	16	k	k	PROPN
ejpam-4765	488	17	−	−	PROPN
ejpam-4765	488	18	γ̂	γ̂	PUNCT
ejpam-4765	489	1	(	(	PUNCT
ejpam-4765	489	2	k∆∗	k∆∗	PROPN
ejpam-4765	489	3	opt	opt	NOUN
ejpam-4765	489	4	)	)	PUNCT
ejpam-4765	489	5	n	n	CCONJ
ejpam-4765	489	6	,	,	PUNCT
ejpam-4765	489	7	k	k	PROPN
ejpam-4765	489	8	+	+	PROPN
ejpam-4765	489	9	√	√	PROPN
ejpam-4765	489	10	k	k	PROPN
ejpam-4765	489	11	γ̂	γ̂	ADV
ejpam-4765	490	1	(	(	PUNCT
ejpam-4765	490	2	k∆∗	k∆∗	PROPN
ejpam-4765	490	3	opt	opt	NOUN
ejpam-4765	490	4	)	)	PUNCT
ejpam-4765	490	5	n	n	CCONJ
ejpam-4765	490	6	,	,	PUNCT
ejpam-4765	490	7	k	k	PROPN
ejpam-4765	490	8	−	−	PROPN
ejpam-4765	490	9	γ	γ	X
ejpam-4765	490	10			PROPN
ejpam-4765	490	11	=	=	SYM
ejpam-4765	491	1	√	√	PUNCT
ejpam-4765	491	2	k	k	NOUN
ejpam-4765	491	3	1	1	NUM
ejpam-4765	491	4	k	k	NOUN
ejpam-4765	491	5	k∑	k∑	PROPN
ejpam-4765	492	1	j=1	j=1	NOUN
ejpam-4765	492	2	{	{	PUNCT
ejpam-4765	492	3	k	k	PROPN
ejpam-4765	492	4	∆̂∗	∆̂∗	PROPN
ejpam-4765	492	5	opt	opt	NOUN
ejpam-4765	492	6	(	(	PUNCT
ejpam-4765	492	7	j	j	PROPN
ejpam-4765	492	8	k	k	PROPN
ejpam-4765	493	1	+	+	CCONJ
ejpam-4765	493	2	1	1	X
ejpam-4765	493	3	)	)	PUNCT
ejpam-4765	493	4	−k∆∗	−k∆∗	NOUN
ejpam-4765	493	5	opt	opt	NOUN
ejpam-4765	493	6	(	(	PUNCT
ejpam-4765	493	7	j	j	PROPN
ejpam-4765	493	8	k	k	PROPN
ejpam-4765	494	1	+	+	PROPN
ejpam-4765	494	2	1	1	NUM
ejpam-4765	494	3	)	)	PUNCT
ejpam-4765	494	4	}	}	PUNCT
ejpam-4765	494	5	j	j	PROPN
ejpam-4765	494	6	log	log	NOUN
ejpam-4765	494	7	(	(	PUNCT
ejpam-4765	494	8	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	494	9	xn−j	xn−j	X
ejpam-4765	494	10	,	,	PUNCT
ejpam-4765	494	11	n	n	PROPN
ejpam-4765	494	12	)	)	PUNCT
ejpam-4765	495	1	+	+	CCONJ
ejpam-4765	495	2	√	√	PUNCT
ejpam-4765	495	3	k	k	NOUN
ejpam-4765	495	4	γ̂	γ̂	ADV
ejpam-4765	496	1	(	(	PUNCT
ejpam-4765	496	2	k∆∗	k∆∗	PROPN
ejpam-4765	496	3	opt	opt	NOUN
ejpam-4765	496	4	)	)	PUNCT
ejpam-4765	496	5	n	n	CCONJ
ejpam-4765	496	6	,	,	PUNCT
ejpam-4765	496	7	k	k	PROPN
ejpam-4765	496	8	−	−	PROPN
ejpam-4765	496	9	γ	γ	X
ejpam-4765	496	10			PROPN
ejpam-4765	496	11	,	,	PUNCT
ejpam-4765	496	12	where	where	SCONJ
ejpam-4765	496	13	k∆∗	k∆∗	PROPN
ejpam-4765	496	14	opt	opt	NOUN
ejpam-4765	496	15	(	(	PUNCT
ejpam-4765	496	16	s	s	X
ejpam-4765	496	17	)	)	PUNCT
ejpam-4765	496	18	=	=	SYM
ejpam-4765	496	19	(	(	PUNCT
ejpam-4765	496	20	(	(	PUNCT
ejpam-4765	496	21	1	1	NUM
ejpam-4765	496	22	−	−	NOUN
ejpam-4765	496	23	ρ)2	ρ)2	PROPN
ejpam-4765	496	24	ρ2	ρ2	NOUN
ejpam-4765	496	25	)	)	PUNCT
ejpam-4765	496	26	2	2	NUM
ejpam-4765	496	27	−	−	NOUN
ejpam-4765	496	28	(	(	PUNCT
ejpam-4765	496	29	1	1	NUM
ejpam-4765	496	30	−	−	PROPN
ejpam-4765	496	31	ρ	ρ	PROPN
ejpam-4765	496	32	)	)	PUNCT
ejpam-4765	496	33	(	(	PUNCT
ejpam-4765	496	34	1	1	NUM
ejpam-4765	496	35	−	−	NUM
ejpam-4765	496	36	2ρ	2ρ	NOUN
ejpam-4765	496	37	)	)	PUNCT
ejpam-4765	496	38	ρ2	ρ2	NOUN
ejpam-4765	496	39	s−ρ	s−ρ	PROPN
ejpam-4765	496	40	,	,	PUNCT
ejpam-4765	496	41	t	t	PROPN
ejpam-4765	496	42	∈	∈	PROPN
ejpam-4765	496	43	(	(	PUNCT
ejpam-4765	496	44	0	0	NUM
ejpam-4765	496	45	,	,	PUNCT
ejpam-4765	496	46	1	1	NUM
ejpam-4765	496	47	)	)	PUNCT
ejpam-4765	496	48	,	,	PUNCT
ejpam-4765	496	49	and	and	CCONJ
ejpam-4765	496	50	k∆∗	k∆∗	PROPN
ejpam-4765	496	51	opt	opt	NOUN
ejpam-4765	496	52	(	(	PUNCT
ejpam-4765	496	53	s	s	X
ejpam-4765	496	54	)	)	PUNCT
ejpam-4765	496	55	=	=	SYM
ejpam-4765	496	56	0	0	PUNCT
ejpam-4765	497	1	otherwise	otherwise	ADV
ejpam-4765	497	2	,	,	PUNCT
ejpam-4765	497	3	k	k	PROPN
ejpam-4765	497	4	∆̂∗	∆̂∗	PROPN
ejpam-4765	497	5	opt	opt	NOUN
ejpam-4765	497	6	is	be	AUX
ejpam-4765	497	7	defined	define	VERB
ejpam-4765	497	8	as	as	ADP
ejpam-4765	497	9	k∆∗	k∆∗	PROPN
ejpam-4765	497	10	opt	opt	NOUN
ejpam-4765	497	11	with	with	ADP
ejpam-4765	497	12	ρ	ρ	PROPN
ejpam-4765	497	13	replaced	replace	VERB
ejpam-4765	497	14	by	by	ADP
ejpam-4765	497	15	ρ̂.	ρ̂.	NOUN
ejpam-4765	497	16	we	we	PRON
ejpam-4765	497	17	have	have	AUX
ejpam-4765	497	18	all	all	PRON
ejpam-4765	497	19	ready	ready	ADJ
ejpam-4765	497	20	mentioned	mention	VERB
ejpam-4765	497	21	that	that	SCONJ
ejpam-4765	497	22	the	the	DET
ejpam-4765	497	23	function	function	NOUN
ejpam-4765	497	24	k∆∗	k∆∗	PROPN
ejpam-4765	497	25	opt	opt	NOUN
ejpam-4765	497	26	is	be	AUX
ejpam-4765	497	27	viewed	view	VERB
ejpam-4765	497	28	as	as	ADP
ejpam-4765	497	29	a	a	DET
ejpam-4765	497	30	mixture	mixture	NOUN
ejpam-4765	497	31	between	between	ADP
ejpam-4765	497	32	two	two	NUM
ejpam-4765	497	33	power	power	NOUN
ejpam-4765	497	34	kernels	kernel	NOUN
ejpam-4765	497	35	:	:	PUNCT
ejpam-4765	497	36	k1(s	k1(s	NOUN
ejpam-4765	497	37	)	)	PUNCT
ejpam-4765	497	38	:	:	PUNCT
ejpam-4765	498	1	=	=	SYM
ejpam-4765	498	2	i(0	i(0	PROPN
ejpam-4765	498	3	<	<	X
ejpam-4765	498	4	s<1	s<1	NOUN
ejpam-4765	498	5	)	)	PUNCT
ejpam-4765	498	6	and	and	CCONJ
ejpam-4765	498	7	k2,ρ(s	k2,ρ(s	NOUN
ejpam-4765	498	8	)	)	PUNCT
ejpam-4765	498	9	:	:	PUNCT
ejpam-4765	499	1	=	=	SYM
ejpam-4765	499	2	(	(	PUNCT
ejpam-4765	499	3	1	1	NUM
ejpam-4765	499	4	−	−	PROPN
ejpam-4765	499	5	ρ	ρ	PROPN
ejpam-4765	499	6	)	)	PUNCT
ejpam-4765	499	7	s−ρi(0	s−ρi(0	PROPN
ejpam-4765	499	8	<	<	X
ejpam-4765	499	9	s<1	s<1	NOUN
ejpam-4765	499	10	)	)	PUNCT
ejpam-4765	499	11	with	with	ADP
ejpam-4765	499	12	and	and	CCONJ
ejpam-4765	499	13	∆∗	∆∗	VERB
ejpam-4765	499	14	=	=	PUNCT
ejpam-4765	499	15	(	(	PUNCT
ejpam-4765	499	16	1−	1−	NUM
ejpam-4765	499	17	ρ)2	ρ)2	PROPN
ejpam-4765	499	18	/	/	SYM
ejpam-4765	499	19	ρ2	ρ2	NOUN
ejpam-4765	499	20	.	.	PUNCT
ejpam-4765	500	1	thus	thus	ADV
ejpam-4765	500	2	,	,	PUNCT
ejpam-4765	500	3	according	accord	VERB
ejpam-4765	500	4	to	to	ADP
ejpam-4765	500	5	the	the	DET
ejpam-4765	500	6	proof	proof	NOUN
ejpam-4765	500	7	of	of	ADP
ejpam-4765	500	8	theorem	theorem	ADJ
ejpam-4765	500	9	3.2	3.2	NUM
ejpam-4765	500	10	of	of	ADP
ejpam-4765	500	11	[	[	X
ejpam-4765	500	12	4	4	NUM
ejpam-4765	500	13	]	]	PUNCT
ejpam-4765	500	14	,	,	PUNCT
ejpam-4765	500	15	we	we	PRON
ejpam-4765	500	16	have	have	VERB
ejpam-4765	500	17	√	√	NUM
ejpam-4765	500	18	k	k	NOUN
ejpam-4765	500	19	1	1	NUM
ejpam-4765	500	20	k	k	NOUN
ejpam-4765	500	21	k∑	k∑	PROPN
ejpam-4765	501	1	j=1	j=1	NOUN
ejpam-4765	501	2	{	{	PUNCT
ejpam-4765	501	3	k	k	PROPN
ejpam-4765	501	4	∆̂∗	∆̂∗	PROPN
ejpam-4765	501	5	opt	opt	NOUN
ejpam-4765	501	6	(	(	PUNCT
ejpam-4765	501	7	j	j	PROPN
ejpam-4765	501	8	k	k	PROPN
ejpam-4765	502	1	+	+	CCONJ
ejpam-4765	502	2	1	1	X
ejpam-4765	502	3	)	)	PUNCT
ejpam-4765	502	4	−k∆∗	−k∆∗	NOUN
ejpam-4765	502	5	opt	opt	NOUN
ejpam-4765	502	6	(	(	PUNCT
ejpam-4765	502	7	j	j	PROPN
ejpam-4765	502	8	k	k	PROPN
ejpam-4765	503	1	+	+	PROPN
ejpam-4765	503	2	1	1	NUM
ejpam-4765	503	3	)	)	PUNCT
ejpam-4765	503	4	}	}	PUNCT
ejpam-4765	503	5	j	j	PROPN
ejpam-4765	503	6	log	log	NOUN
ejpam-4765	503	7	(	(	PUNCT
ejpam-4765	503	8	xn−j+1,n	xn−j+1,n	PROPN
ejpam-4765	503	9	xn−j	xn−j	X
ejpam-4765	503	10	,	,	PUNCT
ejpam-4765	503	11	n	n	NOUN
ejpam-4765	503	12	)	)	PUNCT
ejpam-4765	503	13	=	=	PUNCT
ejpam-4765	503	14	op(1	op(1	NOUN
ejpam-4765	503	15	)	)	PUNCT
ejpam-4765	503	16	,	,	PUNCT
ejpam-4765	503	17	and	and	CCONJ
ejpam-4765	503	18	√	√	PROPN
ejpam-4765	503	19	k	k	NOUN
ejpam-4765	503	20	γ̂	γ̂	ADV
ejpam-4765	504	1	(	(	PUNCT
ejpam-4765	504	2	k	k	PROPN
ejpam-4765	504	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	504	4	opt	opt	PROPN
ejpam-4765	504	5	)	)	PUNCT
ejpam-4765	504	6	n	n	CCONJ
ejpam-4765	504	7	,	,	PUNCT
ejpam-4765	504	8	k	k	PROPN
ejpam-4765	504	9	−	−	PROPN
ejpam-4765	504	10	γ	γ	X
ejpam-4765	504	11			PROPN
ejpam-4765	504	12	=	=	SYM
ejpam-4765	504	13	√	√	PROPN
ejpam-4765	504	14	k	k	NOUN
ejpam-4765	504	15	γ̂	γ̂	ADV
ejpam-4765	505	1	(	(	PUNCT
ejpam-4765	505	2	k∆∗	k∆∗	PROPN
ejpam-4765	505	3	opt	opt	NOUN
ejpam-4765	505	4	)	)	PUNCT
ejpam-4765	505	5	n	n	CCONJ
ejpam-4765	505	6	,	,	PUNCT
ejpam-4765	505	7	k	k	PROPN
ejpam-4765	505	8	−	−	PROPN
ejpam-4765	505	9	γ	γ	PROPN
ejpam-4765	505	10	+	+	PROPN
ejpam-4765	505	11	op(1	op(1	PROPN
ejpam-4765	505	12	)	)	PUNCT
ejpam-4765	505	13	.	.	PUNCT
ejpam-4765	506	1	recall	recall	VERB
ejpam-4765	506	2	now	now	ADV
ejpam-4765	506	3	that	that	SCONJ
ejpam-4765	506	4	γ̂	γ̂	PUNCT
ejpam-4765	506	5	(	(	PUNCT
ejpam-4765	506	6	k∆∗	k∆∗	PROPN
ejpam-4765	506	7	opt	opt	NOUN
ejpam-4765	506	8	)	)	PUNCT
ejpam-4765	507	1	n	n	CCONJ
ejpam-4765	507	2	,	,	PUNCT
ejpam-4765	507	3	k	k	X
ejpam-4765	507	4	=	=	PUNCT
ejpam-4765	507	5	(	(	PUNCT
ejpam-4765	507	6	1	1	NUM
ejpam-4765	507	7	−	−	NOUN
ejpam-4765	507	8	ρ)2	ρ)2	PROPN
ejpam-4765	507	9	ρ2	ρ2	NOUN
ejpam-4765	507	10	γ̂	γ̂	PUNCT
ejpam-4765	507	11	(	(	PUNCT
ejpam-4765	507	12	k1	k1	NOUN
ejpam-4765	507	13	)	)	PUNCT
ejpam-4765	507	14	n	n	CCONJ
ejpam-4765	507	15	,	,	PUNCT
ejpam-4765	507	16	k	k	PROPN
ejpam-4765	507	17	−	−	PROPN
ejpam-4765	507	18	(	(	PUNCT
ejpam-4765	507	19	1	1	NUM
ejpam-4765	507	20	−	−	NUM
ejpam-4765	507	21	2ρ	2ρ	NOUN
ejpam-4765	507	22	)	)	PUNCT
ejpam-4765	508	1	ρ2	ρ2	NOUN
ejpam-4765	508	2	γ̂	γ̂	PUNCT
ejpam-4765	508	3	(	(	PUNCT
ejpam-4765	508	4	k2,ρ	k2,ρ	PROPN
ejpam-4765	508	5	)	)	PUNCT
ejpam-4765	508	6	n	n	CCONJ
ejpam-4765	508	7	,	,	PUNCT
ejpam-4765	508	8	k	k	PROPN
ejpam-4765	508	9	m.	m.	NOUN
ejpam-4765	509	1	kebe	kebe	PROPN
ejpam-4765	509	2	et	et	PROPN
ejpam-4765	509	3	al	al	PROPN
ejpam-4765	509	4	.	.	PUNCT
ejpam-4765	509	5	/	/	SYM
ejpam-4765	509	6	eur	eur	PROPN
ejpam-4765	509	7	.	.	PUNCT
ejpam-4765	510	1	j.	j.	PROPN
ejpam-4765	510	2	pure	pure	PROPN
ejpam-4765	510	3	appl	appl	PROPN
ejpam-4765	510	4	.	.	PROPN
ejpam-4765	510	5	math	math	PROPN
ejpam-4765	510	6	,	,	PUNCT
ejpam-4765	510	7	16	16	NUM
ejpam-4765	510	8	(	(	PUNCT
ejpam-4765	510	9	4	4	NUM
ejpam-4765	510	10	)	)	PUNCT
ejpam-4765	510	11	(	(	PUNCT
ejpam-4765	510	12	2023	2023	NUM
ejpam-4765	510	13	)	)	PUNCT
ejpam-4765	510	14	,	,	PUNCT
ejpam-4765	510	15	2509	2509	NUM
ejpam-4765	510	16	-	-	SYM
ejpam-4765	510	17	2543	2543	NUM
ejpam-4765	510	18	2531	2531	NUM
ejpam-4765	510	19	we	we	PRON
ejpam-4765	510	20	use	use	VERB
ejpam-4765	510	21	the	the	DET
ejpam-4765	510	22	following	follow	VERB
ejpam-4765	510	23	decomposition	decomposition	NOUN
ejpam-4765	510	24	,	,	PUNCT
ejpam-4765	510	25	√	√	PROPN
ejpam-4765	510	26	k	k	PROPN
ejpam-4765	510	27	γ̂	γ̂	ADV
ejpam-4765	511	1	(	(	PUNCT
ejpam-4765	511	2	k∆∗	k∆∗	PROPN
ejpam-4765	511	3	opt	opt	NOUN
ejpam-4765	511	4	)	)	PUNCT
ejpam-4765	511	5	n	n	CCONJ
ejpam-4765	511	6	,	,	PUNCT
ejpam-4765	511	7	k	k	PROPN
ejpam-4765	511	8	−	−	PROPN
ejpam-4765	511	9	γ	γ	X
ejpam-4765	511	10			PROPN
ejpam-4765	511	11	=	=	PUNCT
ejpam-4765	511	12	(	(	PUNCT
ejpam-4765	511	13	1	1	NUM
ejpam-4765	511	14	−	−	NOUN
ejpam-4765	511	15	ρ)2	ρ)2	PROPN
ejpam-4765	511	16	ρ2	ρ2	NOUN
ejpam-4765	511	17	√	√	VERB
ejpam-4765	511	18	k	k	PROPN
ejpam-4765	511	19	(	(	PUNCT
ejpam-4765	511	20	γ̂	γ̂	X
ejpam-4765	511	21	(	(	PUNCT
ejpam-4765	511	22	k1	k1	NOUN
ejpam-4765	511	23	)	)	PUNCT
ejpam-4765	511	24	n	n	CCONJ
ejpam-4765	511	25	,	,	PUNCT
ejpam-4765	511	26	k	k	PROPN
ejpam-4765	511	27	−	−	PROPN
ejpam-4765	511	28	γ	γ	PROPN
ejpam-4765	511	29	)	)	PUNCT
ejpam-4765	511	30	−	−	PROPN
ejpam-4765	512	1	(	(	PUNCT
ejpam-4765	512	2	1	1	NUM
ejpam-4765	512	3	−	−	NUM
ejpam-4765	512	4	2ρ	2ρ	NOUN
ejpam-4765	512	5	)	)	PUNCT
ejpam-4765	512	6	ρ2	ρ2	NOUN
ejpam-4765	512	7	√	√	VERB
ejpam-4765	512	8	k	k	PROPN
ejpam-4765	513	1	(	(	PUNCT
ejpam-4765	513	2	γ̂	γ̂	X
ejpam-4765	513	3	(	(	PUNCT
ejpam-4765	513	4	k2,ρ	k2,ρ	PROPN
ejpam-4765	513	5	)	)	PUNCT
ejpam-4765	513	6	n	n	CCONJ
ejpam-4765	513	7	,	,	PUNCT
ejpam-4765	513	8	k	k	PROPN
ejpam-4765	513	9	−	−	PROPN
ejpam-4765	513	10	γ	γ	PROPN
ejpam-4765	513	11	)	)	PUNCT
ejpam-4765	513	12	from	from	ADP
ejpam-4765	513	13	(	(	PUNCT
ejpam-4765	513	14	31	31	NUM
ejpam-4765	513	15	)	)	PUNCT
ejpam-4765	513	16	,	,	PUNCT
ejpam-4765	513	17	it	it	PRON
ejpam-4765	513	18	is	be	AUX
ejpam-4765	513	19	clear	clear	ADJ
ejpam-4765	513	20	that	that	SCONJ
ejpam-4765	513	21	√	√	VERB
ejpam-4765	513	22	k	k	INTJ
ejpam-4765	513	23	(	(	PUNCT
ejpam-4765	513	24	γ̂	γ̂	X
ejpam-4765	513	25	(	(	PUNCT
ejpam-4765	513	26	k1	k1	NOUN
ejpam-4765	513	27	)	)	PUNCT
ejpam-4765	513	28	n	n	CCONJ
ejpam-4765	513	29	,	,	PUNCT
ejpam-4765	513	30	k	k	PROPN
ejpam-4765	513	31	−	−	PROPN
ejpam-4765	513	32	γ	γ	X
ejpam-4765	513	33	)	)	PUNCT
ejpam-4765	513	34	=	=	PUNCT
ejpam-4765	514	1	√	√	PROPN
ejpam-4765	514	2	k	k	NOUN
ejpam-4765	514	3	a	a	X
ejpam-4765	514	4	(	(	PUNCT
ejpam-4765	514	5	n	n	CCONJ
ejpam-4765	514	6	/	/	SYM
ejpam-4765	514	7	k	k	NOUN
ejpam-4765	514	8	)	)	PUNCT
ejpam-4765	514	9	1	1	NUM
ejpam-4765	514	10	−	−	PROPN
ejpam-4765	514	11	ρ	ρ	NOUN
ejpam-4765	514	12	+	+	CCONJ
ejpam-4765	514	13	γ	γ	PROPN
ejpam-4765	514	14	√	√	PROPN
ejpam-4765	514	15	n	n	CCONJ
ejpam-4765	514	16	k	k	NOUN
ejpam-4765	514	17	∫	∫	PROPN
ejpam-4765	514	18	1	1	NUM
ejpam-4765	514	19	0	0	NUM
ejpam-4765	514	20	s−1bn	s−1bn	NOUN
ejpam-4765	514	21	(	(	PUNCT
ejpam-4765	514	22	1	1	NUM
ejpam-4765	514	23	−	−	PROPN
ejpam-4765	514	24	s	s	PART
ejpam-4765	514	25	k	k	PROPN
ejpam-4765	514	26	n	n	PROPN
ejpam-4765	514	27	)	)	PUNCT
ejpam-4765	514	28	d	d	NOUN
ejpam-4765	514	29	(	(	PUNCT
ejpam-4765	514	30	sk1(s	sk1(s	PROPN
ejpam-4765	514	31	)	)	PUNCT
ejpam-4765	514	32	)	)	PUNCT
ejpam-4765	515	1	+	+	CCONJ
ejpam-4765	515	2	op(1	op(1	NOUN
ejpam-4765	515	3	)	)	PUNCT
ejpam-4765	515	4	and	and	CCONJ
ejpam-4765	515	5	√	√	ADV
ejpam-4765	515	6	k	k	NOUN
ejpam-4765	515	7	(	(	PUNCT
ejpam-4765	515	8	γ̂	γ̂	X
ejpam-4765	515	9	(	(	PUNCT
ejpam-4765	515	10	k2,ρ	k2,ρ	PROPN
ejpam-4765	515	11	)	)	PUNCT
ejpam-4765	515	12	n	n	CCONJ
ejpam-4765	515	13	,	,	PUNCT
ejpam-4765	515	14	k	k	PROPN
ejpam-4765	515	15	−	−	PROPN
ejpam-4765	515	16	γ	γ	X
ejpam-4765	515	17	)	)	PUNCT
ejpam-4765	515	18	=	=	SYM
ejpam-4765	516	1	1	1	NUM
ejpam-4765	516	2	−	−	NUM
ejpam-4765	516	3	ρ	ρ	NOUN
ejpam-4765	516	4	1	1	NUM
ejpam-4765	516	5	−	−	NUM
ejpam-4765	516	6	2ρ	2ρ	NOUN
ejpam-4765	516	7	√	√	PROPN
ejpam-4765	516	8	ka	ka	PROPN
ejpam-4765	516	9	(	(	PUNCT
ejpam-4765	516	10	n	n	CCONJ
ejpam-4765	516	11	/	/	SYM
ejpam-4765	516	12	k	k	NOUN
ejpam-4765	516	13	)	)	PUNCT
ejpam-4765	517	1	+	+	CCONJ
ejpam-4765	517	2	γ	γ	X
ejpam-4765	517	3	√	√	VERB
ejpam-4765	517	4	n	n	CCONJ
ejpam-4765	517	5	k	k	NOUN
ejpam-4765	517	6	∫	∫	PROPN
ejpam-4765	517	7	1	1	NUM
ejpam-4765	517	8	0	0	NUM
ejpam-4765	517	9	s−1bn	s−1bn	NOUN
ejpam-4765	517	10	(	(	PUNCT
ejpam-4765	517	11	1	1	NUM
ejpam-4765	517	12	−	−	PROPN
ejpam-4765	517	13	s	s	PART
ejpam-4765	517	14	k	k	PROPN
ejpam-4765	517	15	n	n	PROPN
ejpam-4765	517	16	)	)	PUNCT
ejpam-4765	517	17	d	d	NOUN
ejpam-4765	517	18	(	(	PUNCT
ejpam-4765	517	19	sk2,ρ(s	sk2,ρ(s	NOUN
ejpam-4765	517	20	)	)	PUNCT
ejpam-4765	517	21	)	)	PUNCT
ejpam-4765	518	1	+	+	CCONJ
ejpam-4765	518	2	op(1	op(1	NOUN
ejpam-4765	518	3	)	)	PUNCT
ejpam-4765	518	4	.	.	PUNCT
ejpam-4765	519	1	finally	finally	ADV
ejpam-4765	519	2	,	,	PUNCT
ejpam-4765	519	3	combining	combine	VERB
ejpam-4765	519	4	these	these	DET
ejpam-4765	519	5	two	two	NUM
ejpam-4765	519	6	previews	preview	NOUN
ejpam-4765	519	7	expansions	expansion	NOUN
ejpam-4765	519	8	,	,	PUNCT
ejpam-4765	519	9	we	we	PRON
ejpam-4765	519	10	get	get	VERB
ejpam-4765	519	11	:	:	PUNCT
ejpam-4765	519	12	√	√	PROPN
ejpam-4765	519	13	k	k	X
ejpam-4765	519	14	γ̂	γ̂	ADV
ejpam-4765	520	1	(	(	PUNCT
ejpam-4765	520	2	k∆∗	k∆∗	PROPN
ejpam-4765	520	3	opt	opt	NOUN
ejpam-4765	520	4	)	)	PUNCT
ejpam-4765	520	5	n	n	CCONJ
ejpam-4765	520	6	,	,	PUNCT
ejpam-4765	520	7	k	k	PROPN
ejpam-4765	520	8	−	−	PROPN
ejpam-4765	520	9	γ	γ	X
ejpam-4765	520	10			PROPN
ejpam-4765	520	11	=	=	SYM
ejpam-4765	520	12	γ	γ	X
ejpam-4765	520	13	√	√	PROPN
ejpam-4765	520	14	n	n	CCONJ
ejpam-4765	520	15	k	k	NOUN
ejpam-4765	520	16	∫	∫	PROPN
ejpam-4765	520	17	1	1	NUM
ejpam-4765	520	18	0	0	NUM
ejpam-4765	520	19	s−1bn	s−1bn	NOUN
ejpam-4765	520	20	(	(	PUNCT
ejpam-4765	520	21	1	1	NUM
ejpam-4765	520	22	−	−	PROPN
ejpam-4765	520	23	s	s	PART
ejpam-4765	520	24	k	k	PROPN
ejpam-4765	520	25	n	n	PROPN
ejpam-4765	520	26	)	)	PUNCT
ejpam-4765	521	1	d	d	NOUN
ejpam-4765	521	2	(	(	PUNCT
ejpam-4765	521	3	s	s	X
ejpam-4765	521	4	{	{	PUNCT
ejpam-4765	521	5	(	(	PUNCT
ejpam-4765	521	6	1	1	NUM
ejpam-4765	521	7	−	−	NOUN
ejpam-4765	521	8	ρ)2	ρ)2	PROPN
ejpam-4765	521	9	ρ2	ρ2	PROPN
ejpam-4765	521	10	k1(s	k1(s	NOUN
ejpam-4765	521	11	)	)	PUNCT
ejpam-4765	521	12	}	}	PUNCT
ejpam-4765	521	13	)	)	PUNCT
ejpam-4765	521	14	−γ	−γ	ADP
ejpam-4765	521	15	√	√	NUM
ejpam-4765	521	16	n	n	CCONJ
ejpam-4765	521	17	k	k	NOUN
ejpam-4765	521	18	∫	∫	PROPN
ejpam-4765	521	19	1	1	NUM
ejpam-4765	521	20	0	0	NUM
ejpam-4765	521	21	s−1bn	s−1bn	NOUN
ejpam-4765	521	22	(	(	PUNCT
ejpam-4765	521	23	1	1	NUM
ejpam-4765	521	24	−	−	PROPN
ejpam-4765	521	25	s	s	PART
ejpam-4765	521	26	k	k	PROPN
ejpam-4765	521	27	n	n	PROPN
ejpam-4765	521	28	)	)	PUNCT
ejpam-4765	522	1	d	d	NOUN
ejpam-4765	522	2	(	(	PUNCT
ejpam-4765	522	3	s	s	X
ejpam-4765	522	4	{	{	PUNCT
ejpam-4765	522	5	1	1	NUM
ejpam-4765	522	6	−	−	NUM
ejpam-4765	522	7	2ρ	2ρ	NOUN
ejpam-4765	522	8	ρ2	ρ2	NOUN
ejpam-4765	522	9	k2,ρ(s	k2,ρ(s	NOUN
ejpam-4765	522	10	)	)	PUNCT
ejpam-4765	522	11	}	}	PUNCT
ejpam-4765	522	12	)	)	PUNCT
ejpam-4765	523	1	+	+	CCONJ
ejpam-4765	523	2	op(1	op(1	PRON
ejpam-4765	523	3	)	)	PUNCT
ejpam-4765	523	4	=	=	SYM
ejpam-4765	523	5	γ	γ	X
ejpam-4765	523	6	√	√	PROPN
ejpam-4765	523	7	n	n	CCONJ
ejpam-4765	523	8	k	k	NOUN
ejpam-4765	523	9	∫	∫	PROPN
ejpam-4765	523	10	1	1	NUM
ejpam-4765	523	11	0	0	NUM
ejpam-4765	523	12	s−1bn	s−1bn	NOUN
ejpam-4765	523	13	(	(	PUNCT
ejpam-4765	523	14	1	1	NUM
ejpam-4765	523	15	−	−	PROPN
ejpam-4765	523	16	s	s	PART
ejpam-4765	523	17	k	k	PROPN
ejpam-4765	523	18	n	n	PROPN
ejpam-4765	523	19	)	)	PUNCT
ejpam-4765	524	1	d	d	NOUN
ejpam-4765	524	2	(	(	PUNCT
ejpam-4765	524	3	sk∆∗	sk∆∗	PROPN
ejpam-4765	524	4	opt	opt	NOUN
ejpam-4765	524	5	(	(	PUNCT
ejpam-4765	524	6	s	s	NOUN
ejpam-4765	524	7	)	)	PUNCT
ejpam-4765	524	8	)	)	PUNCT
ejpam-4765	524	9	+	+	CCONJ
ejpam-4765	524	10	op(1	op(1	NOUN
ejpam-4765	524	11	)	)	PUNCT
ejpam-4765	524	12	.	.	PUNCT
ejpam-4765	525	1	the	the	DET
ejpam-4765	525	2	first	first	ADJ
ejpam-4765	525	3	part	part	NOUN
ejpam-4765	525	4	of	of	ADP
ejpam-4765	525	5	lemma	lemma	PROPN
ejpam-4765	525	6	4	4	NUM
ejpam-4765	525	7	follow	follow	VERB
ejpam-4765	525	8	.	.	PUNCT
ejpam-4765	526	1	focussing	focusse	VERB
ejpam-4765	526	2	on	on	ADP
ejpam-4765	526	3	the	the	DET
ejpam-4765	526	4	second	second	ADJ
ejpam-4765	526	5	part	part	NOUN
ejpam-4765	526	6	and	and	CCONJ
ejpam-4765	526	7	we	we	PRON
ejpam-4765	526	8	have	have	VERB
ejpam-4765	526	9	ân	ân	PROPN
ejpam-4765	526	10	,	,	PUNCT
ejpam-4765	526	11	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	526	12	)	)	PUNCT
ejpam-4765	527	1	:	:	PUNCT
ejpam-4765	527	2	=	=	SYM
ejpam-4765	527	3	−(1	−(1	ADJ
ejpam-4765	527	4	−	−	PROPN
ejpam-4765	527	5	ρ̂)(1	ρ̂)(1	NUM
ejpam-4765	527	6	−	−	NOUN
ejpam-4765	527	7	2ρ̂	2ρ̂	NUM
ejpam-4765	527	8	)	)	PUNCT
ejpam-4765	527	9	ρ̂	ρ̂	NUM
ejpam-4765	527	10	2	2	NUM
ejpam-4765	527	11	{	{	PUNCT
ejpam-4765	527	12	γ̂	γ̂	X
ejpam-4765	527	13	(	(	PUNCT
ejpam-4765	527	14	k1	k1	NOUN
ejpam-4765	527	15	)	)	PUNCT
ejpam-4765	527	16	n	n	CCONJ
ejpam-4765	527	17	,	,	PUNCT
ejpam-4765	527	18	k	k	PROPN
ejpam-4765	527	19	−	−	PROPN
ejpam-4765	527	20	γ̂	γ̂	PUNCT
ejpam-4765	527	21	(	(	PUNCT
ejpam-4765	527	22	k2,ρ̂	k2,ρ̂	PROPN
ejpam-4765	527	23	)	)	PUNCT
ejpam-4765	527	24	n	n	CCONJ
ejpam-4765	527	25	,	,	PUNCT
ejpam-4765	527	26	k	k	PROPN
ejpam-4765	527	27	}	}	PUNCT
ejpam-4765	527	28	.	.	PUNCT
ejpam-4765	528	1	thus	thus	ADV
ejpam-4765	528	2	,	,	PUNCT
ejpam-4765	528	3	√	√	PROPN
ejpam-4765	528	4	k	k	PROPN
ejpam-4765	528	5	(	(	PUNCT
ejpam-4765	528	6	ân	ân	PROPN
ejpam-4765	528	7	,	,	PUNCT
ejpam-4765	528	8	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	528	9	)	)	PUNCT
ejpam-4765	529	1	−	−	PROPN
ejpam-4765	529	2	a(n	a(n	NOUN
ejpam-4765	529	3	/	/	SYM
ejpam-4765	529	4	k	k	NOUN
ejpam-4765	529	5	)	)	PUNCT
ejpam-4765	529	6	)	)	PUNCT
ejpam-4765	530	1	=	=	PUNCT
ejpam-4765	530	2	(	(	PUNCT
ejpam-4765	530	3	1	1	NUM
ejpam-4765	530	4	−	−	NOUN
ejpam-4765	530	5	ρ̂	ρ̂	NUM
ejpam-4765	530	6	)	)	PUNCT
ejpam-4765	530	7	√	√	PROPN
ejpam-4765	531	1	k	k	INTJ
ejpam-4765	531	2	(	(	PUNCT
ejpam-4765	531	3	γ̂	γ̂	X
ejpam-4765	531	4	(	(	PUNCT
ejpam-4765	531	5	k1	k1	NOUN
ejpam-4765	531	6	)	)	PUNCT
ejpam-4765	531	7	n	n	CCONJ
ejpam-4765	531	8	,	,	PUNCT
ejpam-4765	531	9	k	k	PROPN
ejpam-4765	531	10	−	−	PROPN
ejpam-4765	531	11	γ	γ	NOUN
ejpam-4765	531	12	−	−	NOUN
ejpam-4765	531	13	a(n	a(n	NOUN
ejpam-4765	531	14	/	/	SYM
ejpam-4765	531	15	k	k	NOUN
ejpam-4765	531	16	)	)	PUNCT
ejpam-4765	531	17	1	1	NUM
ejpam-4765	531	18	−	−	PROPN
ejpam-4765	531	19	ρ	ρ	PROPN
ejpam-4765	531	20	)	)	PUNCT
ejpam-4765	531	21	−	−	PROPN
ejpam-4765	531	22	(	(	PUNCT
ejpam-4765	531	23	1	1	NUM
ejpam-4765	531	24	−	−	NOUN
ejpam-4765	531	25	ρ̂	ρ̂	NUM
ejpam-4765	531	26	)	)	PUNCT
ejpam-4765	531	27	√	√	PROPN
ejpam-4765	531	28	k	k	NOUN
ejpam-4765	531	29	γ̂	γ̂	ADV
ejpam-4765	531	30	(	(	PUNCT
ejpam-4765	531	31	k	k	PROPN
ejpam-4765	531	32	∆̂∗	∆̂∗	PROPN
ejpam-4765	531	33	opt	opt	PROPN
ejpam-4765	531	34	)	)	PUNCT
ejpam-4765	531	35	n	n	CCONJ
ejpam-4765	531	36	,	,	PUNCT
ejpam-4765	531	37	k	k	PROPN
ejpam-4765	531	38	−	−	PROPN
ejpam-4765	531	39	γ	γ	X
ejpam-4765	531	40			PROPN
ejpam-4765	531	41	+	+	CCONJ
ejpam-4765	531	42	√	√	PROPN
ejpam-4765	531	43	k	k	NOUN
ejpam-4765	531	44	a(n	a(n	PROPN
ejpam-4765	531	45	/	/	SYM
ejpam-4765	531	46	k	k	NOUN
ejpam-4765	531	47	)	)	PUNCT
ejpam-4765	531	48	(	(	PUNCT
ejpam-4765	531	49	(	(	PUNCT
ejpam-4765	531	50	1	1	NUM
ejpam-4765	531	51	−	−	NOUN
ejpam-4765	531	52	ρ̂	ρ̂	NUM
ejpam-4765	531	53	)	)	PUNCT
ejpam-4765	531	54	(	(	PUNCT
ejpam-4765	531	55	1	1	NUM
ejpam-4765	531	56	−	−	PROPN
ejpam-4765	531	57	ρ	ρ	PROPN
ejpam-4765	531	58	)	)	PUNCT
ejpam-4765	531	59	−	−	PROPN
ejpam-4765	531	60	1	1	NUM
ejpam-4765	531	61	)	)	PUNCT
ejpam-4765	531	62	.	.	PUNCT
ejpam-4765	532	1	since	since	SCONJ
ejpam-4765	532	2	ρ̂	ρ̂	NUM
ejpam-4765	532	3	is	be	AUX
ejpam-4765	532	4	a	a	DET
ejpam-4765	532	5	consistent	consistent	ADJ
ejpam-4765	532	6	estimator	estimator	NOUN
ejpam-4765	532	7	of	of	ADP
ejpam-4765	532	8	ρ	ρ	PROPN
ejpam-4765	532	9	,	,	PUNCT
ejpam-4765	532	10	this	this	PRON
ejpam-4765	532	11	leads	lead	VERB
ejpam-4765	532	12	to	to	ADP
ejpam-4765	532	13	the	the	DET
ejpam-4765	532	14	desired	desire	VERB
ejpam-4765	532	15	result	result	NOUN
ejpam-4765	532	16	.	.	PUNCT
ejpam-4765	533	1	proof	proof	NOUN
ejpam-4765	533	2	of	of	ADP
ejpam-4765	533	3	lemma	lemma	PROPN
ejpam-4765	533	4	5	5	NUM
ejpam-4765	533	5	.	.	PUNCT
ejpam-4765	534	1	following	follow	VERB
ejpam-4765	534	2	the	the	DET
ejpam-4765	534	3	same	same	ADJ
ejpam-4765	534	4	approach	approach	NOUN
ejpam-4765	534	5	as	as	ADP
ejpam-4765	534	6	in	in	ADP
ejpam-4765	534	7	the	the	DET
ejpam-4765	534	8	proof	proof	NOUN
ejpam-4765	534	9	of	of	ADP
ejpam-4765	534	10	lemma	lemma	PROPN
ejpam-4765	534	11	3	3	NUM
ejpam-4765	534	12	,	,	PUNCT
ejpam-4765	534	13	we	we	PRON
ejpam-4765	534	14	have	have	VERB
ejpam-4765	534	15	m.	m.	NOUN
ejpam-4765	534	16	kebe	kebe	PROPN
ejpam-4765	534	17	et	et	PROPN
ejpam-4765	534	18	al	al	PROPN
ejpam-4765	534	19	.	.	PUNCT
ejpam-4765	534	20	/	/	SYM
ejpam-4765	534	21	eur	eur	PROPN
ejpam-4765	534	22	.	.	PUNCT
ejpam-4765	535	1	j.	j.	PROPN
ejpam-4765	535	2	pure	pure	PROPN
ejpam-4765	535	3	appl	appl	PROPN
ejpam-4765	535	4	.	.	PROPN
ejpam-4765	535	5	math	math	PROPN
ejpam-4765	535	6	,	,	PUNCT
ejpam-4765	535	7	16	16	NUM
ejpam-4765	535	8	(	(	PUNCT
ejpam-4765	535	9	4	4	NUM
ejpam-4765	535	10	)	)	PUNCT
ejpam-4765	535	11	(	(	PUNCT
ejpam-4765	535	12	2023	2023	NUM
ejpam-4765	535	13	)	)	PUNCT
ejpam-4765	535	14	,	,	PUNCT
ejpam-4765	535	15	2509	2509	NUM
ejpam-4765	535	16	-	-	SYM
ejpam-4765	535	17	2543	2543	NUM
ejpam-4765	535	18	2532	2532	NUM
ejpam-4765	535	19	un	un	PROPN
ejpam-4765	535	20	,	,	PUNCT
ejpam-4765	535	21	k,2	k,2	X
ejpam-4765	535	22	(	(	PUNCT
ejpam-4765	535	23	q	q	PROPN
ejpam-4765	535	24	(	(	PUNCT
ejpam-4765	535	25	k	k	PROPN
ejpam-4765	535	26	∆̂∗	∆̂∗	PROPN
ejpam-4765	535	27	opt	opt	PROPN
ejpam-4765	535	28	)	)	PUNCT
ejpam-4765	535	29	n	n	CCONJ
ejpam-4765	535	30	,	,	PUNCT
ejpam-4765	535	31	k	k	PROPN
ejpam-4765	535	32	,	,	PUNCT
ejpam-4765	535	33	ρ̂	ρ̂	NUM
ejpam-4765	535	34	)	)	PUNCT
ejpam-4765	535	35	ln(α	ln(α	PROPN
ejpam-4765	535	36	)	)	PUNCT
ejpam-4765	536	1	−	−	PRON
ejpam-4765	536	2	un	un	PROPN
ejpam-4765	536	3	,	,	PUNCT
ejpam-4765	536	4	k,2(q	k,2(q	PROPN
ejpam-4765	536	5	)	)	PUNCT
ejpam-4765	536	6	l(q	l(q	PROPN
ejpam-4765	536	7	,	,	PUNCT
ejpam-4765	536	8	α	α	X
ejpam-4765	536	9	)	)	PUNCT
ejpam-4765	536	10	=	=	SYM
ejpam-4765	536	11	un	un	PROPN
ejpam-4765	536	12	,	,	PUNCT
ejpam-4765	536	13	k,2	k,2	X
ejpam-4765	536	14	(	(	PUNCT
ejpam-4765	536	15	q	q	PROPN
ejpam-4765	536	16	(	(	PUNCT
ejpam-4765	536	17	k	k	PROPN
ejpam-4765	536	18	∆̂∗	∆̂∗	PROPN
ejpam-4765	536	19	opt	opt	PROPN
ejpam-4765	536	20	)	)	PUNCT
ejpam-4765	536	21	n	n	CCONJ
ejpam-4765	536	22	,	,	PUNCT
ejpam-4765	536	23	k	k	PROPN
ejpam-4765	536	24	,	,	PUNCT
ejpam-4765	536	25	ρ̂	ρ̂	NUM
ejpam-4765	536	26	)	)	PUNCT
ejpam-4765	536	27	ln(α	ln(α	PROPN
ejpam-4765	536	28	)	)	PUNCT
ejpam-4765	536	29	−	−	PRON
ejpam-4765	536	30	un	un	PROPN
ejpam-4765	536	31	,	,	PUNCT
ejpam-4765	536	32	k,2(q	k,2(q	PROPN
ejpam-4765	536	33	)	)	PUNCT
ejpam-4765	536	34	l(q	l(q	PROPN
ejpam-4765	536	35	,	,	PUNCT
ejpam-4765	536	36	α	α	X
ejpam-4765	536	37	)	)	PUNCT
ejpam-4765	536	38	+	+	CCONJ
ejpam-4765	536	39	un	un	PROPN
ejpam-4765	536	40	,	,	PUNCT
ejpam-4765	536	41	k,2	k,2	X
ejpam-4765	536	42	(	(	PUNCT
ejpam-4765	536	43	q	q	PROPN
ejpam-4765	536	44	(	(	PUNCT
ejpam-4765	536	45	k	k	PROPN
ejpam-4765	536	46	∆̂∗	∆̂∗	PROPN
ejpam-4765	536	47	opt	opt	PROPN
ejpam-4765	536	48	)	)	PUNCT
ejpam-4765	536	49	n	n	CCONJ
ejpam-4765	536	50	,	,	PUNCT
ejpam-4765	536	51	k	k	PROPN
ejpam-4765	536	52	,	,	PUNCT
ejpam-4765	536	53	ρ̂	ρ̂	NUM
ejpam-4765	536	54	)	)	PUNCT
ejpam-4765	536	55	l(q	l(q	PROPN
ejpam-4765	536	56	,	,	PUNCT
ejpam-4765	536	57	α	α	NOUN
ejpam-4765	536	58	)	)	PUNCT
ejpam-4765	536	59	−	−	PROPN
ejpam-4765	536	60	un	un	PROPN
ejpam-4765	536	61	,	,	PUNCT
ejpam-4765	536	62	k,2(q	k,2(q	PROPN
ejpam-4765	536	63	)	)	PUNCT
ejpam-4765	536	64	l(q	l(q	PROPN
ejpam-4765	536	65	,	,	PUNCT
ejpam-4765	536	66	α	α	X
ejpam-4765	536	67	)	)	PUNCT
ejpam-4765	536	68	=	=	SYM
ejpam-4765	536	69	1	1	NUM
ejpam-4765	536	70	l(q	l(q	PROPN
ejpam-4765	536	71	,	,	PUNCT
ejpam-4765	536	72	α	α	X
ejpam-4765	536	73	)	)	PUNCT
ejpam-4765	536	74	(	(	PUNCT
ejpam-4765	536	75	un	un	PROPN
ejpam-4765	536	76	,	,	PUNCT
ejpam-4765	536	77	k,2	k,2	X
ejpam-4765	536	78	(	(	PUNCT
ejpam-4765	536	79	q	q	PROPN
ejpam-4765	536	80	(	(	PUNCT
ejpam-4765	536	81	k	k	PROPN
ejpam-4765	536	82	∆̂∗	∆̂∗	PROPN
ejpam-4765	536	83	opt	opt	PROPN
ejpam-4765	536	84	)	)	PUNCT
ejpam-4765	536	85	n	n	CCONJ
ejpam-4765	536	86	,	,	PUNCT
ejpam-4765	536	87	k	k	PROPN
ejpam-4765	536	88	,	,	PUNCT
ejpam-4765	536	89	ρ̂	ρ̂	NUM
ejpam-4765	536	90	)	)	PUNCT
ejpam-4765	536	91	−	−	PRON
ejpam-4765	536	92	un	un	PROPN
ejpam-4765	536	93	,	,	PUNCT
ejpam-4765	536	94	k,2(q	k,2(q	PROPN
ejpam-4765	536	95	)	)	PUNCT
ejpam-4765	536	96	)	)	PUNCT
ejpam-4765	536	97	−	−	PROPN
ejpam-4765	536	98	un	un	PROPN
ejpam-4765	536	99	,	,	PUNCT
ejpam-4765	536	100	k,2	k,2	X
ejpam-4765	536	101	(	(	PUNCT
ejpam-4765	536	102	q	q	PROPN
ejpam-4765	536	103	(	(	PUNCT
ejpam-4765	536	104	k	k	PROPN
ejpam-4765	536	105	∆̂∗	∆̂∗	PROPN
ejpam-4765	536	106	opt	opt	PROPN
ejpam-4765	536	107	)	)	PUNCT
ejpam-4765	536	108	n	n	CCONJ
ejpam-4765	536	109	,	,	PUNCT
ejpam-4765	536	110	k	k	PROPN
ejpam-4765	536	111	,	,	PUNCT
ejpam-4765	536	112	ρ̂	ρ̂	NUM
ejpam-4765	536	113	)	)	PUNCT
ejpam-4765	537	1	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	537	2	,	,	PUNCT
ejpam-4765	537	3	α	α	X
ejpam-4765	537	4	)	)	PUNCT
ejpam-4765	537	5	(	(	PUNCT
ejpam-4765	537	6	ln(α	ln(α	PROPN
ejpam-4765	537	7	)	)	PUNCT
ejpam-4765	537	8	−	−	PROPN
ejpam-4765	537	9	l(q	l(q	PROPN
ejpam-4765	537	10	,	,	PUNCT
ejpam-4765	537	11	α	α	NOUN
ejpam-4765	537	12	)	)	PUNCT
ejpam-4765	537	13	)	)	PUNCT
ejpam-4765	537	14	.	.	PUNCT
ejpam-4765	538	1	this	this	PRON
ejpam-4765	538	2	implies	imply	VERB
ejpam-4765	538	3	that	that	SCONJ
ejpam-4765	538	4	:	:	PUNCT
ejpam-4765	538	5	√	√	NUM
ejpam-4765	538	6	n	n	CCONJ
ejpam-4765	538	7			NUM
ejpam-4765	538	8	un	un	PROPN
ejpam-4765	538	9	,	,	PUNCT
ejpam-4765	538	10	k,2	k,2	X
ejpam-4765	538	11	(	(	PUNCT
ejpam-4765	538	12	q	q	PROPN
ejpam-4765	538	13	(	(	PUNCT
ejpam-4765	538	14	k	k	PROPN
ejpam-4765	538	15	∆̂∗	∆̂∗	PROPN
ejpam-4765	538	16	opt	opt	PROPN
ejpam-4765	538	17	)	)	PUNCT
ejpam-4765	538	18	n	n	CCONJ
ejpam-4765	538	19	,	,	PUNCT
ejpam-4765	538	20	k	k	PROPN
ejpam-4765	538	21	,	,	PUNCT
ejpam-4765	538	22	ρ̂	ρ̂	NUM
ejpam-4765	538	23	)	)	PUNCT
ejpam-4765	538	24	ln(α	ln(α	PROPN
ejpam-4765	538	25	)	)	PUNCT
ejpam-4765	538	26	−	−	PRON
ejpam-4765	538	27	un	un	PROPN
ejpam-4765	538	28	,	,	PUNCT
ejpam-4765	538	29	k,2(q	k,2(q	PROPN
ejpam-4765	538	30	)	)	PUNCT
ejpam-4765	538	31	l(q	l(q	PROPN
ejpam-4765	538	32	,	,	PUNCT
ejpam-4765	538	33	α	α	NOUN
ejpam-4765	538	34	)	)	PUNCT
ejpam-4765	538	35			PROPN
ejpam-4765	538	36	(	(	PUNCT
ejpam-4765	538	37	k	k	NOUN
ejpam-4765	538	38	/	/	SYM
ejpam-4765	538	39	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	538	40	,	,	PUNCT
ejpam-4765	538	41	n	n	NOUN
ejpam-4765	538	42	=	=	SYM
ejpam-4765	538	43	1	1	NUM
ejpam-4765	538	44	l(q	l(q	PROPN
ejpam-4765	538	45	,	,	PUNCT
ejpam-4765	538	46	α	α	NOUN
ejpam-4765	538	47	)	)	PUNCT
ejpam-4765	538	48	×	×	NOUN
ejpam-4765	538	49	√	√	PUNCT
ejpam-4765	538	50	n	n	CCONJ
ejpam-4765	538	51	(	(	PUNCT
ejpam-4765	538	52	un	un	PROPN
ejpam-4765	538	53	,	,	PUNCT
ejpam-4765	538	54	k,2	k,2	X
ejpam-4765	538	55	(	(	PUNCT
ejpam-4765	538	56	q	q	PROPN
ejpam-4765	538	57	(	(	PUNCT
ejpam-4765	538	58	k	k	PROPN
ejpam-4765	538	59	∆̂∗	∆̂∗	PROPN
ejpam-4765	538	60	opt	opt	PROPN
ejpam-4765	538	61	)	)	PUNCT
ejpam-4765	538	62	n	n	CCONJ
ejpam-4765	538	63	,	,	PUNCT
ejpam-4765	538	64	k	k	PROPN
ejpam-4765	538	65	,	,	PUNCT
ejpam-4765	538	66	ρ̂	ρ̂	NUM
ejpam-4765	538	67	)	)	PUNCT
ejpam-4765	538	68	−	−	PRON
ejpam-4765	538	69	un	un	PROPN
ejpam-4765	538	70	,	,	PUNCT
ejpam-4765	538	71	k,2(q	k,2(q	PROPN
ejpam-4765	538	72	)	)	PUNCT
ejpam-4765	538	73	)	)	PUNCT
ejpam-4765	539	1	(	(	PUNCT
ejpam-4765	539	2	k	k	X
ejpam-4765	539	3	/	/	SYM
ejpam-4765	539	4	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	539	5	,	,	PUNCT
ejpam-4765	539	6	n	n	CCONJ
ejpam-4765	539	7	−	−	PROPN
ejpam-4765	539	8	un	un	PROPN
ejpam-4765	539	9	,	,	PUNCT
ejpam-4765	539	10	k,2	k,2	X
ejpam-4765	539	11	(	(	PUNCT
ejpam-4765	539	12	q	q	PROPN
ejpam-4765	539	13	(	(	PUNCT
ejpam-4765	539	14	k	k	PROPN
ejpam-4765	539	15	∆̂∗	∆̂∗	PROPN
ejpam-4765	539	16	opt	opt	PROPN
ejpam-4765	539	17	)	)	PUNCT
ejpam-4765	539	18	n	n	CCONJ
ejpam-4765	539	19	,	,	PUNCT
ejpam-4765	539	20	k	k	PROPN
ejpam-4765	539	21	,	,	PUNCT
ejpam-4765	539	22	ρ̂	ρ̂	NUM
ejpam-4765	539	23	)	)	PUNCT
ejpam-4765	540	1	ln(α)l(q	ln(α)l(q	PROPN
ejpam-4765	540	2	,	,	PUNCT
ejpam-4765	540	3	α	α	NOUN
ejpam-4765	540	4	)	)	PUNCT
ejpam-4765	540	5	×	×	NOUN
ejpam-4765	540	6	√	√	PUNCT
ejpam-4765	540	7	n	n	CCONJ
ejpam-4765	540	8	(	(	PUNCT
ejpam-4765	540	9	ln(α	ln(α	PROPN
ejpam-4765	540	10	)	)	PUNCT
ejpam-4765	540	11	−	−	PROPN
ejpam-4765	540	12	l(q	l(q	PROPN
ejpam-4765	540	13	,	,	PUNCT
ejpam-4765	540	14	α	α	NOUN
ejpam-4765	540	15	)	)	PUNCT
ejpam-4765	540	16	)	)	PUNCT
ejpam-4765	540	17	(	(	PUNCT
ejpam-4765	540	18	k	k	X
ejpam-4765	540	19	/	/	SYM
ejpam-4765	540	20	n)1/2xn−k	n)1/2xn−k	PROPN
ejpam-4765	540	21	,	,	PUNCT
ejpam-4765	540	22	n	n	PROPN
ejpam-4765	540	23	.(47	.(47	PRON
ejpam-4765	540	24	)	)	PUNCT
ejpam-4765	540	25	recall	recall	NOUN
ejpam-4765	540	26	that	that	DET
ejpam-4765	540	27	un	un	PROPN
ejpam-4765	540	28	,	,	PUNCT
ejpam-4765	540	29	k,2	k,2	X
ejpam-4765	540	30	(	(	PUNCT
ejpam-4765	540	31	q	q	PROPN
ejpam-4765	540	32	(	(	PUNCT
ejpam-4765	540	33	k	k	PROPN
ejpam-4765	540	34	∆̂∗	∆̂∗	PROPN
ejpam-4765	540	35	opt	opt	PROPN
ejpam-4765	540	36	)	)	PUNCT
ejpam-4765	540	37	n	n	CCONJ
ejpam-4765	540	38	,	,	PUNCT
ejpam-4765	540	39	k	k	PROPN
ejpam-4765	540	40	,	,	PUNCT
ejpam-4765	540	41	ρ̂	ρ̂	NUM
ejpam-4765	540	42	)	)	PUNCT
ejpam-4765	541	1	=	=	SYM
ejpam-4765	541	2	(	(	PUNCT
ejpam-4765	541	3	k	k	NOUN
ejpam-4765	541	4	/	/	SYM
ejpam-4765	541	5	n	n	CCONJ
ejpam-4765	541	6	)	)	PUNCT
ejpam-4765	541	7	xn−k	xn−k	PROPN
ejpam-4765	541	8	,	,	PUNCT
ejpam-4765	541	9	n	n	PROPN
ejpam-4765	541	10	1	1	NUM
ejpam-4765	541	11	−	−	NOUN
ejpam-4765	541	12	γ̂	γ̂	PUNCT
ejpam-4765	541	13	(	(	PUNCT
ejpam-4765	541	14	k	k	PROPN
ejpam-4765	541	15	∆̂∗	∆̂∗	PROPN
ejpam-4765	541	16	opt	opt	PROPN
ejpam-4765	541	17	)	)	PUNCT
ejpam-4765	541	18	n	n	CCONJ
ejpam-4765	541	19	,	,	PUNCT
ejpam-4765	541	20	k	k	PROPN
ejpam-4765	541	21	1	1	PROPN
ejpam-4765	541	22	−	−	PROPN
ejpam-4765	541	23	ân	ân	PROPN
ejpam-4765	541	24	,	,	PUNCT
ejpam-4765	541	25	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	541	26	)	)	PUNCT
ejpam-4765	541	27	γ̂	γ̂	PUNCT
ejpam-4765	542	1	(	(	PUNCT
ejpam-4765	542	2	k	k	PROPN
ejpam-4765	542	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	542	4	opt	opt	PROPN
ejpam-4765	542	5	)	)	PUNCT
ejpam-4765	542	6	n	n	CCONJ
ejpam-4765	542	7	,	,	PUNCT
ejpam-4765	542	8	k	k	PROPN
ejpam-4765	542	9	+	+	CCONJ
ejpam-4765	543	1	ρ̂−	ρ̂−	PROPN
ejpam-4765	543	2	1	1	NUM
ejpam-4765	543	3			PRON
ejpam-4765	543	4	.	.	PUNCT
ejpam-4765	544	1	for	for	ADP
ejpam-4765	544	2	a	a	DET
ejpam-4765	544	3	given	give	VERB
ejpam-4765	544	4	ρ̂	ρ̂	NUM
ejpam-4765	544	5	be	be	AUX
ejpam-4765	544	6	either	either	CCONJ
ejpam-4765	544	7	a	a	DET
ejpam-4765	544	8	canonical	canonical	ADJ
ejpam-4765	544	9	negative	negative	ADJ
ejpam-4765	544	10	value	value	NOUN
ejpam-4765	544	11	ρ̂	ρ̂	NUM
ejpam-4765	544	12	=	=	SYM
ejpam-4765	544	13	ρ	ρ	PROPN
ejpam-4765	544	14	=	=	SYM
ejpam-4765	544	15	ρ0	ρ0	PROPN
ejpam-4765	544	16	or	or	CCONJ
ejpam-4765	544	17	an	an	DET
ejpam-4765	544	18	external	external	ADJ
ejpam-4765	544	19	estimator	estimator	NOUN
ejpam-4765	544	20	ρ̂	ρ̂	NUM
ejpam-4765	544	21	=	=	SYM
ejpam-4765	544	22	ρ̂kρ	ρ̂kρ	NOUN
ejpam-4765	544	23	,	,	PUNCT
ejpam-4765	544	24	consistent	consistent	ADJ
ejpam-4765	544	25	in	in	ADP
ejpam-4765	544	26	probability	probability	NOUN
ejpam-4765	544	27	to	to	ADP
ejpam-4765	544	28	ρ	ρ	NUM
ejpam-4765	544	29	,	,	PUNCT
ejpam-4765	544	30	with	with	ADP
ejpam-4765	544	31	kρ	kρ	NOUN
ejpam-4765	544	32	:	:	PUNCT
ejpam-4765	544	33	=	=	SYM
ejpam-4765	544	34	kρ(n	kρ(n	X
ejpam-4765	544	35	)	)	PUNCT
ejpam-4765	544	36	an	an	DET
ejpam-4765	544	37	intermediate	intermediate	ADJ
ejpam-4765	544	38	sequence	sequence	NOUN
ejpam-4765	544	39	of	of	ADP
ejpam-4765	544	40	integers	integer	NOUN
ejpam-4765	544	41	greater	great	ADJ
ejpam-4765	544	42	than	than	ADP
ejpam-4765	544	43	k	k	PROPN
ejpam-4765	544	44	,	,	PUNCT
ejpam-4765	544	45	satisfying	satisfy	VERB
ejpam-4765	544	46	kρ	kρ	NOUN
ejpam-4765	544	47	→	→	SYM
ejpam-4765	544	48	∞	∞	NUM
ejpam-4765	544	49	and	and	CCONJ
ejpam-4765	544	50	kρ	kρ	PROPN
ejpam-4765	544	51	/	/	SYM
ejpam-4765	544	52	n	n	PROPN
ejpam-4765	544	53	→	→	SYM
ejpam-4765	544	54	0	0	NUM
ejpam-4765	544	55	,	,	PUNCT
ejpam-4765	544	56	as	as	ADP
ejpam-4765	544	57	n	n	PROPN
ejpam-4765	544	58	→	→	SYM
ejpam-4765	544	59	∞	∞	PROPN
ejpam-4765	544	60	,	,	PUNCT
ejpam-4765	544	61	we	we	PRON
ejpam-4765	544	62	have	have	VERB
ejpam-4765	544	63	from	from	ADP
ejpam-4765	544	64	lemma	lemma	PROPN
ejpam-4765	544	65	4	4	NUM
ejpam-4765	544	66	,	,	PUNCT
ejpam-4765	544	67	γ̂	γ̂	NUM
ejpam-4765	545	1	(	(	PUNCT
ejpam-4765	545	2	k	k	PROPN
ejpam-4765	545	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	545	4	opt	opt	PROPN
ejpam-4765	545	5	)	)	PUNCT
ejpam-4765	545	6	n	n	CCONJ
ejpam-4765	545	7	,	,	PUNCT
ejpam-4765	545	8	k	k	PROPN
ejpam-4765	545	9	p→	p→	VERB
ejpam-4765	545	10	γ	γ	PROPN
ejpam-4765	545	11	and	and	CCONJ
ejpam-4765	545	12	ân	ân	PROPN
ejpam-4765	545	13	,	,	PUNCT
ejpam-4765	545	14	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	545	15	)	)	PUNCT
ejpam-4765	546	1	p→	p→	NOUN
ejpam-4765	546	2	0	0	NUM
ejpam-4765	546	3	,	,	PUNCT
ejpam-4765	546	4	as	as	ADP
ejpam-4765	546	5	n	n	NUM
ejpam-4765	546	6	−→	−→	NOUN
ejpam-4765	546	7	∞.	∞.	PROPN
ejpam-4765	546	8	since	since	SCONJ
ejpam-4765	546	9	(	(	PUNCT
ejpam-4765	546	10	k	k	NOUN
ejpam-4765	546	11	/	/	SYM
ejpam-4765	546	12	n	n	CCONJ
ejpam-4765	546	13	)	)	PUNCT
ejpam-4765	546	14	xn−k	xn−k	PROPN
ejpam-4765	546	15	,	,	PUNCT
ejpam-4765	546	16	n	n	X
ejpam-4765	546	17	p→	p→	NOUN
ejpam-4765	546	18	0	0	PUNCT
ejpam-4765	547	1	(	(	PUNCT
ejpam-4765	547	2	see	see	VERB
ejpam-4765	547	3	the	the	DET
ejpam-4765	547	4	proof	proof	NOUN
ejpam-4765	547	5	of	of	ADP
ejpam-4765	547	6	lemma	lemma	PROPN
ejpam-4765	547	7	3	3	NUM
ejpam-4765	547	8	)	)	PUNCT
ejpam-4765	547	9	.	.	PUNCT
ejpam-4765	548	1	therefore	therefore	ADV
ejpam-4765	548	2	,	,	PUNCT
ejpam-4765	548	3	un	un	PROPN
ejpam-4765	548	4	,	,	PUNCT
ejpam-4765	548	5	k,2	k,2	X
ejpam-4765	548	6	(	(	PUNCT
ejpam-4765	548	7	q	q	PROPN
ejpam-4765	548	8	(	(	PUNCT
ejpam-4765	548	9	k	k	PROPN
ejpam-4765	548	10	∆̂∗	∆̂∗	PROPN
ejpam-4765	548	11	opt	opt	PROPN
ejpam-4765	548	12	)	)	PUNCT
ejpam-4765	548	13	n	n	CCONJ
ejpam-4765	548	14	,	,	PUNCT
ejpam-4765	548	15	k	k	PROPN
ejpam-4765	548	16	,	,	PUNCT
ejpam-4765	548	17	ρ̂	ρ̂	NUM
ejpam-4765	548	18	)	)	PUNCT
ejpam-4765	548	19	p→	p→	NOUN
ejpam-4765	548	20	0	0	NUM
ejpam-4765	548	21	,	,	PUNCT
ejpam-4765	548	22	as	as	ADP
ejpam-4765	548	23	n	n	PRON
ejpam-4765	548	24	−→	−→	NOUN
ejpam-4765	548	25	0	0	NUM
ejpam-4765	548	26	.	.	PUNCT
ejpam-4765	549	1	consequently	consequently	ADV
ejpam-4765	549	2	,	,	PUNCT
ejpam-4765	549	3	according	accord	VERB
ejpam-4765	549	4	to	to	ADP
ejpam-4765	549	5	the	the	DET
ejpam-4765	549	6	lemma	lemma	PROPN
ejpam-4765	549	7	1	1	NUM
ejpam-4765	549	8	,	,	PUNCT
ejpam-4765	549	9	the	the	DET
ejpam-4765	549	10	second	second	ADJ
ejpam-4765	549	11	right	right	ADJ
ejpam-4765	549	12	term	term	NOUN
ejpam-4765	549	13	of	of	ADP
ejpam-4765	549	14	the	the	DET
ejpam-4765	549	15	equation	equation	NOUN
ejpam-4765	549	16	47	47	NUM
ejpam-4765	549	17	is	be	AUX
ejpam-4765	549	18	equal	equal	ADJ
ejpam-4765	549	19	to	to	ADP
ejpam-4765	549	20	op(1	op(1	NOUN
ejpam-4765	549	21	)	)	PUNCT
ejpam-4765	549	22	.	.	PUNCT
ejpam-4765	550	1	now	now	ADV
ejpam-4765	550	2	,	,	PUNCT
ejpam-4765	550	3	it	it	PRON
ejpam-4765	550	4	allows	allow	VERB
ejpam-4765	550	5	us	we	PRON
ejpam-4765	550	6	to	to	PART
ejpam-4765	550	7	look	look	VERB
ejpam-4765	550	8	at	at	ADP
ejpam-4765	550	9	the	the	DET
ejpam-4765	550	10	first	first	ADJ
ejpam-4765	550	11	right	right	ADJ
ejpam-4765	550	12	term	term	NOUN
ejpam-4765	550	13	of	of	ADP
ejpam-4765	550	14	the	the	DET
ejpam-4765	550	15	equation	equation	NOUN
ejpam-4765	550	16	47	47	NUM
ejpam-4765	550	17	.	.	PUNCT
ejpam-4765	551	1	thus	thus	ADV
ejpam-4765	551	2	,	,	PUNCT
ejpam-4765	551	3	we	we	PRON
ejpam-4765	551	4	have	have	VERB
ejpam-4765	551	5	the	the	DET
ejpam-4765	551	6	following	follow	VERB
ejpam-4765	551	7	decomposition	decomposition	NOUN
ejpam-4765	551	8	:	:	PUNCT
ejpam-4765	551	9	√	√	PROPN
ejpam-4765	551	10	n	n	PRON
ejpam-4765	551	11	l(q	l(q	PROPN
ejpam-4765	551	12	,	,	PUNCT
ejpam-4765	551	13	α	α	X
ejpam-4765	551	14	)	)	PUNCT
ejpam-4765	551	15	(	(	PUNCT
ejpam-4765	551	16	k	k	X
ejpam-4765	551	17	/	/	SYM
ejpam-4765	551	18	n)1/2u	n)1/2u	NOUN
ejpam-4765	551	19	(	(	PUNCT
ejpam-4765	551	20	n	n	CCONJ
ejpam-4765	551	21	/	/	SYM
ejpam-4765	551	22	k	k	NOUN
ejpam-4765	551	23	)	)	PUNCT
ejpam-4765	551	24	(	(	PUNCT
ejpam-4765	551	25	un	un	PROPN
ejpam-4765	551	26	,	,	PUNCT
ejpam-4765	551	27	k,2	k,2	X
ejpam-4765	551	28	(	(	PUNCT
ejpam-4765	551	29	q	q	PROPN
ejpam-4765	551	30	(	(	PUNCT
ejpam-4765	551	31	k	k	PROPN
ejpam-4765	551	32	∆̂∗	∆̂∗	PROPN
ejpam-4765	551	33	opt	opt	PROPN
ejpam-4765	551	34	)	)	PUNCT
ejpam-4765	551	35	n	n	CCONJ
ejpam-4765	551	36	,	,	PUNCT
ejpam-4765	551	37	k	k	PROPN
ejpam-4765	551	38	,	,	PUNCT
ejpam-4765	551	39	ρ̂	ρ̂	NUM
ejpam-4765	551	40	)	)	PUNCT
ejpam-4765	551	41	−	−	PRON
ejpam-4765	551	42	un	un	PROPN
ejpam-4765	551	43	,	,	PUNCT
ejpam-4765	551	44	k,2(q	k,2(q	PROPN
ejpam-4765	551	45	)	)	PUNCT
ejpam-4765	551	46	)	)	PUNCT
ejpam-4765	552	1	=	=	PUNCT
ejpam-4765	553	1	6∑	6∑	NUM
ejpam-4765	553	2	i=1	i=1	X
ejpam-4765	553	3	sn	sn	PROPN
ejpam-4765	553	4	,	,	PUNCT
ejpam-4765	553	5	i	i	PRON
ejpam-4765	553	6	m.	m.	VERB
ejpam-4765	554	1	kebe	kebe	PROPN
ejpam-4765	554	2	et	et	PROPN
ejpam-4765	554	3	al	al	PROPN
ejpam-4765	554	4	.	.	PUNCT
ejpam-4765	554	5	/	/	SYM
ejpam-4765	554	6	eur	eur	PROPN
ejpam-4765	554	7	.	.	PUNCT
ejpam-4765	555	1	j.	j.	PROPN
ejpam-4765	555	2	pure	pure	PROPN
ejpam-4765	555	3	appl	appl	PROPN
ejpam-4765	555	4	.	.	PROPN
ejpam-4765	555	5	math	math	PROPN
ejpam-4765	555	6	,	,	PUNCT
ejpam-4765	555	7	16	16	NUM
ejpam-4765	555	8	(	(	PUNCT
ejpam-4765	555	9	4	4	NUM
ejpam-4765	555	10	)	)	PUNCT
ejpam-4765	555	11	(	(	PUNCT
ejpam-4765	555	12	2023	2023	NUM
ejpam-4765	555	13	)	)	PUNCT
ejpam-4765	555	14	,	,	PUNCT
ejpam-4765	555	15	2509	2509	NUM
ejpam-4765	555	16	-	-	SYM
ejpam-4765	555	17	2543	2543	NUM
ejpam-4765	555	18	2533	2533	NUM
ejpam-4765	555	19	where	where	SCONJ
ejpam-4765	555	20	sn,1	sn,1	PROPN
ejpam-4765	555	21	=	=	NOUN
ejpam-4765	555	22	1	1	NUM
ejpam-4765	555	23	l(q	l(q	PROPN
ejpam-4765	555	24	,	,	PUNCT
ejpam-4765	555	25	α	α	X
ejpam-4765	555	26	)	)	PUNCT
ejpam-4765	555	27	(	(	PUNCT
ejpam-4765	555	28	1	1	NUM
ejpam-4765	555	29	−	−	NOUN
ejpam-4765	555	30	γ̂	γ̂	PUNCT
ejpam-4765	555	31	(	(	PUNCT
ejpam-4765	555	32	k	k	PROPN
ejpam-4765	555	33	∆̂∗	∆̂∗	PROPN
ejpam-4765	555	34	opt	opt	PROPN
ejpam-4765	555	35	)	)	PUNCT
ejpam-4765	555	36	n	n	CCONJ
ejpam-4765	555	37	,	,	PUNCT
ejpam-4765	555	38	k	k	PROPN
ejpam-4765	555	39	)	)	PUNCT
ejpam-4765	555	40	1	1	PROPN
ejpam-4765	556	1	−	−	PROPN
ejpam-4765	556	2	ân	ân	PROPN
ejpam-4765	556	3	,	,	PUNCT
ejpam-4765	556	4	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	556	5	)	)	PUNCT
ejpam-4765	556	6	γ̂	γ̂	PUNCT
ejpam-4765	557	1	(	(	PUNCT
ejpam-4765	557	2	k	k	PROPN
ejpam-4765	557	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	557	4	opt	opt	PROPN
ejpam-4765	557	5	)	)	PUNCT
ejpam-4765	557	6	n	n	CCONJ
ejpam-4765	557	7	,	,	PUNCT
ejpam-4765	557	8	k	k	PROPN
ejpam-4765	557	9	+	+	CCONJ
ejpam-4765	558	1	ρ̂−	ρ̂−	PROPN
ejpam-4765	558	2	1	1	NUM
ejpam-4765	558	3	√	√	NOUN
ejpam-4765	558	4	k	k	PROPN
ejpam-4765	558	5	[	[	PUNCT
ejpam-4765	558	6	u	u	X
ejpam-4765	558	7	(	(	PUNCT
ejpam-4765	558	8	yn−k	yn−k	PROPN
ejpam-4765	558	9	,	,	PUNCT
ejpam-4765	558	10	n	n	CCONJ
ejpam-4765	558	11	)	)	PUNCT
ejpam-4765	558	12	u(n	u(n	PROPN
ejpam-4765	558	13	/	/	SYM
ejpam-4765	558	14	k	k	NOUN
ejpam-4765	558	15	)	)	PUNCT
ejpam-4765	558	16	−	−	PROPN
ejpam-4765	559	1	(	(	PUNCT
ejpam-4765	559	2	k	k	NOUN
ejpam-4765	559	3	n	n	X
ejpam-4765	559	4	yn−k	yn−k	PROPN
ejpam-4765	559	5	,	,	PUNCT
ejpam-4765	559	6	n	n	CCONJ
ejpam-4765	559	7	)	)	PUNCT
ejpam-4765	559	8	γ	γ	X
ejpam-4765	559	9	]	]	X
ejpam-4765	559	10	sn,2	sn,2	PROPN
ejpam-4765	559	11	=	=	SYM
ejpam-4765	559	12	1	1	NUM
ejpam-4765	559	13	l(q	l(q	PROPN
ejpam-4765	559	14	,	,	PUNCT
ejpam-4765	559	15	α	α	X
ejpam-4765	559	16	)	)	PUNCT
ejpam-4765	559	17	(	(	PUNCT
ejpam-4765	559	18	1	1	NUM
ejpam-4765	559	19	−	−	NOUN
ejpam-4765	559	20	γ̂	γ̂	PUNCT
ejpam-4765	559	21	(	(	PUNCT
ejpam-4765	559	22	k	k	PROPN
ejpam-4765	559	23	∆̂∗	∆̂∗	PROPN
ejpam-4765	559	24	opt	opt	PROPN
ejpam-4765	559	25	)	)	PUNCT
ejpam-4765	559	26	n	n	CCONJ
ejpam-4765	559	27	,	,	PUNCT
ejpam-4765	559	28	k	k	PROPN
ejpam-4765	559	29	)	)	PUNCT
ejpam-4765	559	30	1	1	PROPN
ejpam-4765	560	1	−	−	PROPN
ejpam-4765	560	2	ân	ân	PROPN
ejpam-4765	560	3	,	,	PUNCT
ejpam-4765	560	4	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	560	5	)	)	PUNCT
ejpam-4765	560	6	γ̂	γ̂	PUNCT
ejpam-4765	561	1	(	(	PUNCT
ejpam-4765	561	2	k	k	PROPN
ejpam-4765	561	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	561	4	opt	opt	PROPN
ejpam-4765	561	5	)	)	PUNCT
ejpam-4765	561	6	n	n	CCONJ
ejpam-4765	561	7	,	,	PUNCT
ejpam-4765	561	8	k	k	PROPN
ejpam-4765	561	9	+	+	CCONJ
ejpam-4765	562	1	ρ̂−	ρ̂−	PROPN
ejpam-4765	562	2	1	1	NUM
ejpam-4765	562	3	√	√	NOUN
ejpam-4765	562	4	k	k	NOUN
ejpam-4765	563	1	[	[	X
ejpam-4765	563	2	(	(	PUNCT
ejpam-4765	563	3	k	k	NOUN
ejpam-4765	563	4	n	n	PRON
ejpam-4765	563	5	yn−k	yn−k	PROPN
ejpam-4765	563	6	,	,	PUNCT
ejpam-4765	563	7	n	n	CCONJ
ejpam-4765	563	8	)	)	PUNCT
ejpam-4765	563	9	γ	γ	NOUN
ejpam-4765	563	10	−	−	PROPN
ejpam-4765	563	11	1	1	NUM
ejpam-4765	563	12	]	]	PUNCT
ejpam-4765	563	13	sn,3	sn,3	NOUN
ejpam-4765	563	14	=	=	SYM
ejpam-4765	563	15	1	1	NUM
ejpam-4765	563	16	l(q	l(q	PROPN
ejpam-4765	563	17	,	,	PUNCT
ejpam-4765	563	18	α	α	X
ejpam-4765	563	19	)	)	PUNCT
ejpam-4765	563	20	(	(	PUNCT
ejpam-4765	563	21	1	1	NUM
ejpam-4765	563	22	−	−	NOUN
ejpam-4765	563	23	γ̂	γ̂	PUNCT
ejpam-4765	563	24	(	(	PUNCT
ejpam-4765	563	25	k	k	PROPN
ejpam-4765	563	26	∆̂∗	∆̂∗	PROPN
ejpam-4765	563	27	opt	opt	PROPN
ejpam-4765	563	28	)	)	PUNCT
ejpam-4765	563	29	n	n	CCONJ
ejpam-4765	563	30	,	,	PUNCT
ejpam-4765	563	31	k	k	PROPN
ejpam-4765	563	32	)	)	PUNCT
ejpam-4765	563	33	(	(	PUNCT
ejpam-4765	563	34	1	1	NUM
ejpam-4765	563	35	−	−	PROPN
ejpam-4765	563	36	γ	γ	NOUN
ejpam-4765	563	37	)	)	PUNCT
ejpam-4765	563	38	√k	√k	NOUN
ejpam-4765	563	39	(	(	PUNCT
ejpam-4765	563	40	γ̂	γ̂	X
ejpam-4765	563	41	(	(	PUNCT
ejpam-4765	563	42	k	k	PROPN
ejpam-4765	563	43	∆̂∗	∆̂∗	PROPN
ejpam-4765	563	44	opt	opt	PROPN
ejpam-4765	563	45	)	)	PUNCT
ejpam-4765	563	46	n	n	CCONJ
ejpam-4765	563	47	,	,	PUNCT
ejpam-4765	563	48	k	k	PROPN
ejpam-4765	563	49	−	−	PROPN
ejpam-4765	563	50	γ	γ	PROPN
ejpam-4765	563	51	)	)	PUNCT
ejpam-4765	563	52	sn,4	sn,4	PROPN
ejpam-4765	563	53	=	=	PUNCT
ejpam-4765	564	1	√	√	ADP
ejpam-4765	564	2	ka(n	ka(n	NUM
ejpam-4765	564	3	/	/	SYM
ejpam-4765	564	4	k	k	NOUN
ejpam-4765	564	5	)	)	PUNCT
ejpam-4765	564	6	l(q	l(q	PROPN
ejpam-4765	564	7	,	,	PUNCT
ejpam-4765	564	8	α	α	NOUN
ejpam-4765	564	9	)	)	PUNCT
ejpam-4765	564	10			NOUN
ejpam-4765	564	11	1	1	NUM
ejpam-4765	564	12	(	(	PUNCT
ejpam-4765	564	13	1	1	NUM
ejpam-4765	564	14	−	−	NOUN
ejpam-4765	564	15	γ)(γ	γ)(γ	PUNCT
ejpam-4765	565	1	+	+	CCONJ
ejpam-4765	565	2	ρ−	ρ−	NOUN
ejpam-4765	565	3	1	1	NUM
ejpam-4765	565	4	)	)	PUNCT
ejpam-4765	565	5	−	−	NOUN
ejpam-4765	565	6	1	1	NUM
ejpam-4765	565	7	(	(	PUNCT
ejpam-4765	565	8	1	1	NUM
ejpam-4765	565	9	−	−	NOUN
ejpam-4765	565	10	γ̂	γ̂	PUNCT
ejpam-4765	565	11	(	(	PUNCT
ejpam-4765	565	12	k	k	PROPN
ejpam-4765	565	13	∆̂∗	∆̂∗	PROPN
ejpam-4765	565	14	opt	opt	PROPN
ejpam-4765	565	15	)	)	PUNCT
ejpam-4765	565	16	n	n	CCONJ
ejpam-4765	565	17	,	,	PUNCT
ejpam-4765	565	18	k	k	PROPN
ejpam-4765	565	19	)	)	PUNCT
ejpam-4765	565	20	(	(	PUNCT
ejpam-4765	565	21	γ̂	γ̂	X
ejpam-4765	565	22	(	(	PUNCT
ejpam-4765	565	23	k	k	PROPN
ejpam-4765	565	24	∆̂∗	∆̂∗	PROPN
ejpam-4765	565	25	opt	opt	PROPN
ejpam-4765	565	26	)	)	PUNCT
ejpam-4765	565	27	n	n	CCONJ
ejpam-4765	565	28	,	,	PUNCT
ejpam-4765	565	29	k	k	PROPN
ejpam-4765	565	30	+	+	PROPN
ejpam-4765	565	31	ρ̂−	ρ̂−	PROPN
ejpam-4765	565	32	1	1	NUM
ejpam-4765	565	33	)	)	PUNCT
ejpam-4765	565	34			PROPN
ejpam-4765	565	35	sn,5	sn,5	VERB
ejpam-4765	565	36	=	=	SYM
ejpam-4765	565	37	−	−	PROPN
ejpam-4765	565	38	1	1	NUM
ejpam-4765	565	39	l(q	l(q	PROPN
ejpam-4765	565	40	,	,	PUNCT
ejpam-4765	565	41	α	α	X
ejpam-4765	565	42	)	)	PUNCT
ejpam-4765	565	43	(	(	PUNCT
ejpam-4765	565	44	1	1	NUM
ejpam-4765	565	45	−	−	NOUN
ejpam-4765	565	46	γ̂	γ̂	PUNCT
ejpam-4765	566	1	(	(	PUNCT
ejpam-4765	566	2	k	k	PROPN
ejpam-4765	566	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	566	4	opt	opt	PROPN
ejpam-4765	566	5	)	)	PUNCT
ejpam-4765	566	6	n	n	CCONJ
ejpam-4765	566	7	,	,	PUNCT
ejpam-4765	566	8	k	k	PROPN
ejpam-4765	566	9	)	)	PUNCT
ejpam-4765	566	10	(	(	PUNCT
ejpam-4765	566	11	γ̂	γ̂	X
ejpam-4765	566	12	(	(	PUNCT
ejpam-4765	566	13	k	k	PROPN
ejpam-4765	566	14	∆̂∗	∆̂∗	PROPN
ejpam-4765	566	15	opt	opt	PROPN
ejpam-4765	566	16	)	)	PUNCT
ejpam-4765	566	17	n	n	CCONJ
ejpam-4765	566	18	,	,	PUNCT
ejpam-4765	566	19	k	k	PROPN
ejpam-4765	566	20	+	+	PROPN
ejpam-4765	567	1	ρ̂−	ρ̂−	PROPN
ejpam-4765	567	2	1	1	NUM
ejpam-4765	567	3	)	)	PUNCT
ejpam-4765	567	4	√	√	PROPN
ejpam-4765	567	5	k	k	PROPN
ejpam-4765	567	6	(	(	PUNCT
ejpam-4765	567	7	ân	ân	PROPN
ejpam-4765	567	8	,	,	PUNCT
ejpam-4765	567	9	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	567	10	)	)	PUNCT
ejpam-4765	568	1	−	−	PROPN
ejpam-4765	568	2	a(n	a(n	NOUN
ejpam-4765	568	3	/	/	SYM
ejpam-4765	568	4	k	k	NOUN
ejpam-4765	568	5	)	)	PUNCT
ejpam-4765	568	6	)	)	PUNCT
ejpam-4765	569	1	sn,6	sn,6	PROPN
ejpam-4765	569	2	=	=	PUNCT
ejpam-4765	569	3	√	√	PROPN
ejpam-4765	569	4	n	n	PRON
ejpam-4765	569	5	l(q	l(q	PROPN
ejpam-4765	569	6	,	,	PUNCT
ejpam-4765	569	7	α)(k	α)(k	NOUN
ejpam-4765	569	8	/	/	SYM
ejpam-4765	569	9	n)1/2u(n	n)1/2u(n	ADJ
ejpam-4765	569	10	/	/	SYM
ejpam-4765	569	11	k	k	NOUN
ejpam-4765	569	12	)	)	PUNCT
ejpam-4765	569	13	[	[	PUNCT
ejpam-4765	569	14	k	k	X
ejpam-4765	569	15	/	/	SYM
ejpam-4765	569	16	n	n	CCONJ
ejpam-4765	569	17	1	1	NUM
ejpam-4765	569	18	−	−	NOUN
ejpam-4765	569	19	γ	γ	X
ejpam-4765	569	20	(	(	PUNCT
ejpam-4765	569	21	1	1	NUM
ejpam-4765	569	22	−	−	NOUN
ejpam-4765	569	23	a(n	a(n	NOUN
ejpam-4765	569	24	/	/	SYM
ejpam-4765	569	25	k	k	NOUN
ejpam-4765	569	26	)	)	PUNCT
ejpam-4765	569	27	γ	γ	PROPN
ejpam-4765	569	28	+	+	CCONJ
ejpam-4765	569	29	ρ−	ρ−	PROPN
ejpam-4765	569	30	1	1	NUM
ejpam-4765	569	31	)	)	PUNCT
ejpam-4765	569	32	u(n	u(n	PROPN
ejpam-4765	569	33	/	/	SYM
ejpam-4765	569	34	k	k	NOUN
ejpam-4765	569	35	)	)	PUNCT
ejpam-4765	569	36	−	−	PROPN
ejpam-4765	569	37	un	un	PROPN
ejpam-4765	569	38	,	,	PUNCT
ejpam-4765	569	39	k,2(q	k,2(q	PROPN
ejpam-4765	569	40	)	)	PUNCT
ejpam-4765	569	41	]	]	PUNCT
ejpam-4765	569	42	.	.	PUNCT
ejpam-4765	570	1	next	next	ADV
ejpam-4765	570	2	,	,	PUNCT
ejpam-4765	570	3	we	we	PRON
ejpam-4765	570	4	are	be	AUX
ejpam-4765	570	5	going	go	VERB
ejpam-4765	570	6	to	to	PART
ejpam-4765	570	7	study	study	VERB
ejpam-4765	570	8	separately	separately	ADV
ejpam-4765	570	9	the	the	DET
ejpam-4765	570	10	terms	term	NOUN
ejpam-4765	570	11	sn,1	sn,1	PROPN
ejpam-4765	570	12	,	,	PUNCT
ejpam-4765	570	13	...	...	PUNCT
ejpam-4765	570	14	,	,	PUNCT
ejpam-4765	570	15	sn,6	sn,6	PROPN
ejpam-4765	570	16	.	.	PUNCT
ejpam-4765	570	17	term	term	PROPN
ejpam-4765	570	18	sn,1	sn,1	PROPN
ejpam-4765	570	19	.	.	PUNCT
ejpam-4765	571	1	note	note	VERB
ejpam-4765	571	2	that	that	SCONJ
ejpam-4765	571	3	sn,1	sn,1	NOUN
ejpam-4765	571	4	=	=	PUNCT
ejpam-4765	571	5	1	1	NUM
ejpam-4765	571	6	−	−	NOUN
ejpam-4765	571	7	γ̂	γ̂	PUNCT
ejpam-4765	572	1	(	(	PUNCT
ejpam-4765	572	2	k	k	NOUN
ejpam-4765	572	3	)	)	PUNCT
ejpam-4765	572	4	n	n	CCONJ
ejpam-4765	572	5	,	,	PUNCT
ejpam-4765	572	6	k	k	PROPN
ejpam-4765	572	7	1	1	NUM
ejpam-4765	572	8	−	−	NOUN
ejpam-4765	572	9	γ̂	γ̂	PUNCT
ejpam-4765	573	1	(	(	PUNCT
ejpam-4765	573	2	k	k	PROPN
ejpam-4765	573	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	573	4	opt	opt	PROPN
ejpam-4765	573	5	)	)	PUNCT
ejpam-4765	573	6	n	n	CCONJ
ejpam-4765	573	7	,	,	PUNCT
ejpam-4765	573	8	k	k	PROPN
ejpam-4765	573	9	1	1	PROPN
ejpam-4765	574	1	−	−	PROPN
ejpam-4765	574	2	ân	ân	PROPN
ejpam-4765	574	3	,	,	PUNCT
ejpam-4765	574	4	k(ρ̂	k(ρ̂	PROPN
ejpam-4765	574	5	)	)	PUNCT
ejpam-4765	574	6	γ̂	γ̂	PUNCT
ejpam-4765	575	1	(	(	PUNCT
ejpam-4765	575	2	k	k	PROPN
ejpam-4765	575	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	575	4	opt	opt	PROPN
ejpam-4765	575	5	)	)	PUNCT
ejpam-4765	575	6	n	n	CCONJ
ejpam-4765	575	7	,	,	PUNCT
ejpam-4765	575	8	k	k	PROPN
ejpam-4765	575	9	+	+	PROPN
ejpam-4765	576	1	ρ̂−	ρ̂−	PROPN
ejpam-4765	576	2	1	1	NUM
ejpam-4765	576	3			PROPN
ejpam-4765	576	4	tn,1	tn,1	PROPN
ejpam-4765	576	5	where	where	SCONJ
ejpam-4765	576	6	tn,1	tn,1	PROPN
ejpam-4765	576	7	is	be	AUX
ejpam-4765	576	8	defined	define	VERB
ejpam-4765	576	9	in	in	ADP
ejpam-4765	576	10	the	the	DET
ejpam-4765	576	11	proof	proof	NOUN
ejpam-4765	576	12	of	of	ADP
ejpam-4765	576	13	lemma	lemma	PROPN
ejpam-4765	576	14	3	3	NUM
ejpam-4765	576	15	.	.	PUNCT
ejpam-4765	576	16	thus	thus	ADV
ejpam-4765	576	17	combining	combine	VERB
ejpam-4765	576	18	lemma	lemma	PROPN
ejpam-4765	576	19	4	4	NUM
ejpam-4765	576	20	with	with	ADP
ejpam-4765	576	21	the	the	DET
ejpam-4765	576	22	consistency	consistency	NOUN
ejpam-4765	576	23	of	of	ADP
ejpam-4765	576	24	ρ̂	ρ̂	NUM
ejpam-4765	576	25	and	and	CCONJ
ejpam-4765	576	26	(	(	PUNCT
ejpam-4765	576	27	32	32	NUM
ejpam-4765	576	28	)	)	PUNCT
ejpam-4765	576	29	,	,	PUNCT
ejpam-4765	576	30	we	we	PRON
ejpam-4765	576	31	obtain	obtain	VERB
ejpam-4765	576	32	that	that	DET
ejpam-4765	576	33	sn,1	sn,1	PROPN
ejpam-4765	576	34	=	=	PUNCT
ejpam-4765	576	35	op(1	op(1	PROPN
ejpam-4765	576	36	)	)	PUNCT
ejpam-4765	576	37	.	.	PUNCT
ejpam-4765	577	1	(	(	PUNCT
ejpam-4765	577	2	48	48	NUM
ejpam-4765	577	3	)	)	PUNCT
ejpam-4765	577	4	term	term	NOUN
ejpam-4765	577	5	sn,2	sn,2	PROPN
ejpam-4765	577	6	.	.	PUNCT
ejpam-4765	578	1	similarly	similarly	ADV
ejpam-4765	578	2	,	,	PUNCT
ejpam-4765	578	3	we	we	PRON
ejpam-4765	578	4	observe	observe	VERB
ejpam-4765	578	5	that	that	SCONJ
ejpam-4765	578	6	sn,2	sn,2	PROPN
ejpam-4765	578	7	=	=	PUNCT
ejpam-4765	578	8	tn,2(1	tn,2(1	PROPN
ejpam-4765	578	9	+	+	CCONJ
ejpam-4765	578	10	op(1	op(1	NOUN
ejpam-4765	578	11	)	)	PUNCT
ejpam-4765	578	12	)	)	PUNCT
ejpam-4765	578	13	where	where	SCONJ
ejpam-4765	578	14	tn,2	tn,2	PROPN
ejpam-4765	578	15	is	be	AUX
ejpam-4765	578	16	defined	define	VERB
ejpam-4765	578	17	in	in	ADP
ejpam-4765	578	18	the	the	DET
ejpam-4765	578	19	proof	proof	NOUN
ejpam-4765	578	20	of	of	ADP
ejpam-4765	578	21	lemma	lemma	PROPN
ejpam-4765	578	22	3	3	NUM
ejpam-4765	578	23	.	.	PUNCT
ejpam-4765	578	24	thus	thus	ADV
ejpam-4765	578	25	according	accord	VERB
ejpam-4765	578	26	to	to	ADP
ejpam-4765	578	27	(	(	PUNCT
ejpam-4765	578	28	33	33	NUM
ejpam-4765	578	29	)	)	PUNCT
ejpam-4765	578	30	,	,	PUNCT
ejpam-4765	578	31	we	we	PRON
ejpam-4765	578	32	have	have	VERB
ejpam-4765	578	33	sn,2	sn,2	VERB
ejpam-4765	578	34	d	d	PROPN
ejpam-4765	578	35	=	=	SYM
ejpam-4765	578	36	wn	wn	PROPN
ejpam-4765	578	37	,	,	PUNCT
ejpam-4765	578	38	α,2	α,2	NUM
ejpam-4765	578	39	+	+	CCONJ
ejpam-4765	578	40	op(1	op(1	NOUN
ejpam-4765	578	41	)	)	PUNCT
ejpam-4765	578	42	.	.	PUNCT
ejpam-4765	579	1	(	(	PUNCT
ejpam-4765	579	2	49	49	NUM
ejpam-4765	579	3	)	)	PUNCT
ejpam-4765	579	4	term	term	NOUN
ejpam-4765	579	5	sn,3	sn,3	NOUN
ejpam-4765	579	6	.	.	PUNCT
ejpam-4765	580	1	combining	combine	VERB
ejpam-4765	580	2	lemma	lemma	PROPN
ejpam-4765	580	3	4	4	NUM
ejpam-4765	580	4	with	with	ADP
ejpam-4765	580	5	the	the	DET
ejpam-4765	580	6	consistency	consistency	NOUN
ejpam-4765	580	7	of	of	ADP
ejpam-4765	580	8	γ̂	γ̂	PROPN
ejpam-4765	580	9	(	(	PUNCT
ejpam-4765	580	10	k	k	PROPN
ejpam-4765	580	11	∆̂∗	∆̂∗	PROPN
ejpam-4765	580	12	opt	opt	PROPN
ejpam-4765	580	13	)	)	PUNCT
ejpam-4765	580	14	n	n	CCONJ
ejpam-4765	580	15	,	,	PUNCT
ejpam-4765	580	16	k	k	PROPN
ejpam-4765	580	17	,	,	PUNCT
ejpam-4765	580	18	we	we	PRON
ejpam-4765	580	19	infer	infer	VERB
ejpam-4765	580	20	that	that	SCONJ
ejpam-4765	580	21	sn,3	sn,3	PROPN
ejpam-4765	580	22	d	d	NOUN
ejpam-4765	580	23	=	=	SYM
ejpam-4765	580	24	γ	γ	X
ejpam-4765	580	25	+	+	CCONJ
ejpam-4765	580	26	ρ−	ρ−	PROPN
ejpam-4765	580	27	1	1	NUM
ejpam-4765	580	28	ργ	ργ	PROPN
ejpam-4765	580	29	wn	wn	PROPN
ejpam-4765	580	30	,	,	PUNCT
ejpam-4765	580	31	α,4	α,4	NUM
ejpam-4765	580	32	+	+	CCONJ
ejpam-4765	580	33	op(1	op(1	NOUN
ejpam-4765	580	34	)	)	PUNCT
ejpam-4765	580	35	.	.	PUNCT
ejpam-4765	581	1	(	(	PUNCT
ejpam-4765	581	2	50	50	NUM
ejpam-4765	581	3	)	)	PUNCT
ejpam-4765	581	4	m.	m.	NOUN
ejpam-4765	581	5	kebe	kebe	PROPN
ejpam-4765	581	6	et	et	PROPN
ejpam-4765	581	7	al	al	PROPN
ejpam-4765	581	8	.	.	PUNCT
ejpam-4765	581	9	/	/	SYM
ejpam-4765	581	10	eur	eur	PROPN
ejpam-4765	581	11	.	.	PUNCT
ejpam-4765	582	1	j.	j.	PROPN
ejpam-4765	582	2	pure	pure	PROPN
ejpam-4765	582	3	appl	appl	PROPN
ejpam-4765	582	4	.	.	PROPN
ejpam-4765	582	5	math	math	PROPN
ejpam-4765	582	6	,	,	PUNCT
ejpam-4765	582	7	16	16	NUM
ejpam-4765	582	8	(	(	PUNCT
ejpam-4765	582	9	4	4	NUM
ejpam-4765	582	10	)	)	PUNCT
ejpam-4765	582	11	(	(	PUNCT
ejpam-4765	582	12	2023	2023	NUM
ejpam-4765	582	13	)	)	PUNCT
ejpam-4765	582	14	,	,	PUNCT
ejpam-4765	582	15	2509	2509	NUM
ejpam-4765	582	16	-	-	SYM
ejpam-4765	582	17	2543	2543	NUM
ejpam-4765	582	18	2534	2534	NUM
ejpam-4765	582	19	term	term	NOUN
ejpam-4765	582	20	sn,4	sn,4	PROPN
ejpam-4765	582	21	.	.	PUNCT
ejpam-4765	583	1	under	under	ADP
ejpam-4765	583	2	the	the	DET
ejpam-4765	583	3	assumption	assumption	NOUN
ejpam-4765	583	4	that	that	SCONJ
ejpam-4765	583	5	√	√	PROPN
ejpam-4765	583	6	k	k	PRON
ejpam-4765	583	7	a(n	a(n	PROPN
ejpam-4765	583	8	/	/	SYM
ejpam-4765	583	9	k	k	NOUN
ejpam-4765	583	10	)	)	PUNCT
ejpam-4765	583	11	→	→	PUNCT
ejpam-4765	583	12	λ	λ	X
ejpam-4765	583	13	∈	∈	PROPN
ejpam-4765	583	14	r	r	NOUN
ejpam-4765	583	15	,	,	PUNCT
ejpam-4765	583	16	as	as	ADP
ejpam-4765	583	17	n	n	NUM
ejpam-4765	583	18	→	→	SYM
ejpam-4765	583	19	∞	∞	NUM
ejpam-4765	583	20	and	and	CCONJ
ejpam-4765	583	21	by	by	ADP
ejpam-4765	583	22	the	the	DET
ejpam-4765	583	23	consistency	consistency	NOUN
ejpam-4765	583	24	of	of	ADP
ejpam-4765	583	25	ρ̂	ρ̂	NUM
ejpam-4765	583	26	and	and	CCONJ
ejpam-4765	583	27	γ̂	γ̂	NUM
ejpam-4765	583	28	(	(	PUNCT
ejpam-4765	583	29	k	k	PROPN
ejpam-4765	583	30	∆̂∗	∆̂∗	PROPN
ejpam-4765	583	31	opt	opt	PROPN
ejpam-4765	583	32	)	)	PUNCT
ejpam-4765	583	33	n	n	CCONJ
ejpam-4765	583	34	,	,	PUNCT
ejpam-4765	583	35	k	k	PROPN
ejpam-4765	583	36	,	,	PUNCT
ejpam-4765	583	37	we	we	PRON
ejpam-4765	583	38	have	have	VERB
ejpam-4765	583	39	sn,4	sn,4	PROPN
ejpam-4765	583	40	=	=	SYM
ejpam-4765	583	41	op(1	op(1	PROPN
ejpam-4765	583	42	)	)	PUNCT
ejpam-4765	583	43	.	.	PUNCT
ejpam-4765	584	1	(	(	PUNCT
ejpam-4765	584	2	51	51	NUM
ejpam-4765	584	3	)	)	PUNCT
ejpam-4765	584	4	term	term	NOUN
ejpam-4765	584	5	sn,5	sn,5	PROPN
ejpam-4765	584	6	.	.	PUNCT
ejpam-4765	585	1	using	use	VERB
ejpam-4765	585	2	again	again	ADV
ejpam-4765	585	3	the	the	DET
ejpam-4765	585	4	lemma	lemma	PROPN
ejpam-4765	585	5	4	4	NUM
ejpam-4765	585	6	,	,	PUNCT
ejpam-4765	585	7	we	we	PRON
ejpam-4765	585	8	get	get	VERB
ejpam-4765	585	9	sn,5	sn,5	NOUN
ejpam-4765	585	10	d	d	NOUN
ejpam-4765	585	11	=	=	SYM
ejpam-4765	585	12	−	−	PROPN
ejpam-4765	585	13	γ(1	γ(1	PROPN
ejpam-4765	585	14	−	−	PROPN
ejpam-4765	585	15	ρ	ρ	PROPN
ejpam-4765	585	16	)	)	PUNCT
ejpam-4765	585	17	(	(	PUNCT
ejpam-4765	585	18	1	1	NUM
ejpam-4765	585	19	−	−	NOUN
ejpam-4765	585	20	γ)(γ	γ)(γ	PUNCT
ejpam-4765	586	1	+	+	CCONJ
ejpam-4765	586	2	ρ−	ρ−	NOUN
ejpam-4765	586	3	1	1	NUM
ejpam-4765	586	4	)	)	PUNCT
ejpam-4765	586	5	√	√	PROPN
ejpam-4765	586	6	n	n	CCONJ
ejpam-4765	586	7	k	k	NOUN
ejpam-4765	586	8	∫	∫	PROPN
ejpam-4765	586	9	1	1	NUM
ejpam-4765	586	10	0	0	NUM
ejpam-4765	586	11	s−1bn	s−1bn	NOUN
ejpam-4765	586	12	(	(	PUNCT
ejpam-4765	586	13	1	1	NUM
ejpam-4765	586	14	−	−	NOUN
ejpam-4765	586	15	sk	sk	PROPN
ejpam-4765	586	16	n	n	NOUN
ejpam-4765	586	17	)	)	PUNCT
ejpam-4765	586	18	d(s(k(s	d(s(k(s	PROPN
ejpam-4765	586	19	)	)	PUNCT
ejpam-4765	586	20	−k	−k	PROPN
ejpam-4765	586	21	∆̂∗	∆̂∗	PROPN
ejpam-4765	586	22	opt	opt	NOUN
ejpam-4765	586	23	(	(	PUNCT
ejpam-4765	586	24	s	s	NOUN
ejpam-4765	586	25	)	)	PUNCT
ejpam-4765	586	26	)	)	PUNCT
ejpam-4765	586	27	)	)	PUNCT
ejpam-4765	587	1	+	+	CCONJ
ejpam-4765	587	2	op(1	op(1	PRON
ejpam-4765	587	3	)	)	PUNCT
ejpam-4765	587	4	=	=	PUNCT
ejpam-4765	588	1	−(1	−(1	NOUN
ejpam-4765	588	2	−	−	NOUN
ejpam-4765	588	3	ρ)(1	ρ)(1	X
ejpam-4765	588	4	−	−	PROPN
ejpam-4765	588	5	γ	γ	PROPN
ejpam-4765	588	6	)	)	PUNCT
ejpam-4765	588	7	γ	γ	PROPN
ejpam-4765	588	8	+	+	CCONJ
ejpam-4765	588	9	ρ−	ρ−	PROPN
ejpam-4765	588	10	1	1	NUM
ejpam-4765	588	11	(	(	PUNCT
ejpam-4765	588	12	wn	wn	PROPN
ejpam-4765	588	13	,	,	PUNCT
ejpam-4765	588	14	α,3	α,3	NUM
ejpam-4765	588	15	−	−	X
ejpam-4765	588	16	γ	γ	X
ejpam-4765	588	17	+	+	CCONJ
ejpam-4765	588	18	ρ−	ρ−	PROPN
ejpam-4765	588	19	1	1	NUM
ejpam-4765	588	20	ργ	ργ	PROPN
ejpam-4765	588	21	wn	wn	PROPN
ejpam-4765	588	22	,	,	PUNCT
ejpam-4765	588	23	α,4	α,4	NUM
ejpam-4765	588	24	)	)	PUNCT
ejpam-4765	588	25	+	+	CCONJ
ejpam-4765	588	26	op(1	op(1	PRON
ejpam-4765	588	27	)	)	PUNCT
ejpam-4765	588	28	=	=	SYM
ejpam-4765	588	29	wn	wn	PROPN
ejpam-4765	588	30	,	,	PUNCT
ejpam-4765	588	31	α,5	α,5	PROPN
ejpam-4765	588	32	+	+	CCONJ
ejpam-4765	588	33	(	(	PUNCT
ejpam-4765	588	34	1	1	NUM
ejpam-4765	588	35	−	−	NOUN
ejpam-4765	588	36	ρ)(1	ρ)(1	X
ejpam-4765	588	37	−	−	PROPN
ejpam-4765	588	38	γ	γ	NOUN
ejpam-4765	588	39	)	)	PUNCT
ejpam-4765	588	40	γρ	γρ	NOUN
ejpam-4765	588	41	wn	wn	PROPN
ejpam-4765	588	42	,	,	PUNCT
ejpam-4765	588	43	α,4	α,4	NUM
ejpam-4765	588	44	+	+	CCONJ
ejpam-4765	588	45	op(1	op(1	NOUN
ejpam-4765	588	46	)	)	PUNCT
ejpam-4765	588	47	.	.	PUNCT
ejpam-4765	589	1	(	(	PUNCT
ejpam-4765	589	2	52	52	NUM
ejpam-4765	589	3	)	)	PUNCT
ejpam-4765	589	4	term	term	NOUN
ejpam-4765	589	5	sn,6	sn,6	PROPN
ejpam-4765	589	6	.	.	PUNCT
ejpam-4765	590	1	remark	remark	VERB
ejpam-4765	590	2	that	that	SCONJ
ejpam-4765	590	3	sn,6	sn,6	PROPN
ejpam-4765	590	4	=	=	PUNCT
ejpam-4765	591	1	−	−	PROPN
ejpam-4765	591	2	√	√	NUM
ejpam-4765	591	3	ka(n	ka(n	NUM
ejpam-4765	591	4	/	/	SYM
ejpam-4765	591	5	k	k	NOUN
ejpam-4765	591	6	)	)	PUNCT
ejpam-4765	591	7	(	(	PUNCT
ejpam-4765	591	8	1	1	NUM
ejpam-4765	591	9	−	−	NOUN
ejpam-4765	591	10	γ)(γ	γ)(γ	PUNCT
ejpam-4765	592	1	+	+	CCONJ
ejpam-4765	592	2	ρ−	ρ−	NOUN
ejpam-4765	592	3	1	1	NUM
ejpam-4765	592	4	)	)	PUNCT
ejpam-4765	592	5	+	+	CCONJ
ejpam-4765	592	6	tn,4	tn,4	PROPN
ejpam-4765	592	7	,	,	PUNCT
ejpam-4765	592	8	where	where	SCONJ
ejpam-4765	592	9	tn,4	tn,4	PROPN
ejpam-4765	592	10	is	be	AUX
ejpam-4765	592	11	defined	define	VERB
ejpam-4765	592	12	in	in	ADP
ejpam-4765	592	13	the	the	DET
ejpam-4765	592	14	proof	proof	NOUN
ejpam-4765	592	15	of	of	ADP
ejpam-4765	592	16	lemma	lemma	PROPN
ejpam-4765	592	17	3	3	NUM
ejpam-4765	592	18	.	.	PUNCT
ejpam-4765	592	19	thus	thus	ADV
ejpam-4765	592	20	using	use	VERB
ejpam-4765	592	21	(	(	PUNCT
ejpam-4765	592	22	35	35	NUM
ejpam-4765	592	23	)	)	PUNCT
ejpam-4765	592	24	and	and	CCONJ
ejpam-4765	592	25	the	the	DET
ejpam-4765	592	26	assumption	assumption	NOUN
ejpam-4765	592	27	that√	that√	NOUN
ejpam-4765	592	28	k	k	PROPN
ejpam-4765	592	29	a(n	a(n	PROPN
ejpam-4765	592	30	/	/	SYM
ejpam-4765	592	31	k	k	NOUN
ejpam-4765	592	32	)	)	PUNCT
ejpam-4765	592	33	→	→	PUNCT
ejpam-4765	592	34	λ	λ	X
ejpam-4765	592	35	∈	∈	PROPN
ejpam-4765	592	36	r	r	NOUN
ejpam-4765	592	37	,	,	PUNCT
ejpam-4765	592	38	as	as	ADP
ejpam-4765	592	39	n	n	PROPN
ejpam-4765	592	40	→	→	SYM
ejpam-4765	592	41	∞.	∞.	PROPN
ejpam-4765	592	42	we	we	PRON
ejpam-4765	592	43	deduce	deduce	VERB
ejpam-4765	592	44	that	that	SCONJ
ejpam-4765	592	45	sn,6	sn,6	PROPN
ejpam-4765	592	46	=	=	PUNCT
ejpam-4765	592	47	op(1	op(1	PROPN
ejpam-4765	592	48	)	)	PUNCT
ejpam-4765	592	49	.	.	PUNCT
ejpam-4765	593	1	(	(	PUNCT
ejpam-4765	593	2	53	53	X
ejpam-4765	593	3	)	)	PUNCT
ejpam-4765	593	4	combining	combine	VERB
ejpam-4765	593	5	(	(	PUNCT
ejpam-4765	593	6	48)-(53	48)-(53	NUM
ejpam-4765	593	7	)	)	PUNCT
ejpam-4765	593	8	,	,	PUNCT
ejpam-4765	593	9	lemma	lemma	PROPN
ejpam-4765	593	10	5	5	NUM
ejpam-4765	593	11	follows	follow	VERB
ejpam-4765	593	12	.	.	PUNCT
ejpam-4765	594	1	5	5	X
ejpam-4765	594	2	.	.	X
ejpam-4765	594	3	simulation	simulation	NOUN
ejpam-4765	594	4	study	study	NOUN
ejpam-4765	594	5	in	in	ADP
ejpam-4765	594	6	this	this	DET
ejpam-4765	594	7	section	section	NOUN
ejpam-4765	594	8	,	,	PUNCT
ejpam-4765	594	9	the	the	DET
ejpam-4765	594	10	class	class	NOUN
ejpam-4765	594	11	of	of	ADP
ejpam-4765	594	12	biased	biased	ADJ
ejpam-4765	594	13	estimator	estimator	NOUN
ejpam-4765	594	14	η̂	η̂	PUNCT
ejpam-4765	594	15	(	(	PUNCT
ejpam-4765	594	16	k	k	NOUN
ejpam-4765	594	17	)	)	PUNCT
ejpam-4765	594	18	n	n	CCONJ
ejpam-4765	594	19	,	,	PUNCT
ejpam-4765	594	20	k	k	X
ejpam-4765	594	21	(	(	PUNCT
ejpam-4765	594	22	0.2	0.2	NUM
ejpam-4765	594	23	,	,	PUNCT
ejpam-4765	594	24	0.8	0.8	NUM
ejpam-4765	594	25	)	)	PUNCT
ejpam-4765	594	26	and	and	CCONJ
ejpam-4765	594	27	the	the	DET
ejpam-4765	594	28	reduced	reduce	VERB
ejpam-4765	594	29	-	-	PUNCT
ejpam-4765	594	30	bias	bias	NOUN
ejpam-4765	594	31	estimator	estimator	NOUN
ejpam-4765	594	32	η̃	η̃	PROPN
ejpam-4765	594	33	(	(	PUNCT
ejpam-4765	594	34	k	k	PROPN
ejpam-4765	594	35	∆̂∗	∆̂∗	PROPN
ejpam-4765	594	36	opt	opt	PROPN
ejpam-4765	594	37	)	)	PUNCT
ejpam-4765	594	38	n	n	CCONJ
ejpam-4765	594	39	,	,	PUNCT
ejpam-4765	594	40	k	k	PROPN
ejpam-4765	594	41	,	,	PUNCT
ejpam-4765	594	42	ρ̂	ρ̂	NUM
ejpam-4765	594	43	(	(	PUNCT
ejpam-4765	594	44	0.2	0.2	NUM
ejpam-4765	594	45	,	,	PUNCT
ejpam-4765	594	46	0.8	0.8	NUM
ejpam-4765	594	47	)	)	PUNCT
ejpam-4765	594	48	of	of	ADP
ejpam-4765	594	49	the	the	DET
ejpam-4765	594	50	qsr	qsr	PROPN
ejpam-4765	594	51	index	index	NOUN
ejpam-4765	594	52	η(q	η(q	NOUN
ejpam-4765	594	53	,	,	PUNCT
ejpam-4765	594	54	0.2	0.2	NUM
ejpam-4765	594	55	,	,	PUNCT
ejpam-4765	594	56	0.8	0.8	NUM
ejpam-4765	594	57	)	)	PUNCT
ejpam-4765	594	58	are	be	AUX
ejpam-4765	594	59	compared	compare	VERB
ejpam-4765	594	60	in	in	ADP
ejpam-4765	594	61	a	a	DET
ejpam-4765	594	62	simulation	simulation	NOUN
ejpam-4765	594	63	study	study	NOUN
ejpam-4765	594	64	.	.	PUNCT
ejpam-4765	595	1	to	to	ADP
ejpam-4765	595	2	this	this	DET
ejpam-4765	595	3	end	end	NOUN
ejpam-4765	595	4	,	,	PUNCT
ejpam-4765	595	5	n	n	NOUN
ejpam-4765	595	6	=	=	SYM
ejpam-4765	595	7	500	500	NUM
ejpam-4765	595	8	samples	sample	NOUN
ejpam-4765	595	9	of	of	ADP
ejpam-4765	595	10	size	size	NOUN
ejpam-4765	595	11	n	n	NOUN
ejpam-4765	595	12	:	:	PUNCT
ejpam-4765	595	13	=	=	SYM
ejpam-4765	595	14	1000	1000	NUM
ejpam-4765	595	15	;	;	PUNCT
ejpam-4765	595	16	1500	1500	NUM
ejpam-4765	595	17	;	;	PUNCT
ejpam-4765	595	18	2000	2000	NUM
ejpam-4765	595	19	are	be	AUX
ejpam-4765	595	20	generated	generate	VERB
ejpam-4765	595	21	from	from	ADP
ejpam-4765	595	22	a	a	DET
ejpam-4765	595	23	burr	burr	NOUN
ejpam-4765	595	24	distribution	distribution	NOUN
ejpam-4765	595	25	defined	define	VERB
ejpam-4765	595	26	as	as	ADP
ejpam-4765	595	27	f	f	PROPN
ejpam-4765	595	28	(	(	PUNCT
ejpam-4765	595	29	x	x	NOUN
ejpam-4765	595	30	)	)	PUNCT
ejpam-4765	595	31	=	=	SYM
ejpam-4765	595	32	(	(	PUNCT
ejpam-4765	595	33	1	1	NUM
ejpam-4765	595	34	+	+	CCONJ
ejpam-4765	595	35	x−ρ	x−ρ	NOUN
ejpam-4765	595	36	/	/	SYM
ejpam-4765	595	37	γ)1	γ)1	NOUN
ejpam-4765	595	38	/	/	SYM
ejpam-4765	595	39	ρ	ρ	PROPN
ejpam-4765	595	40	,	,	PUNCT
ejpam-4765	595	41	with	with	ADP
ejpam-4765	595	42	γ	γ	X
ejpam-4765	595	43	=	=	SYM
ejpam-4765	595	44	2/3	2/3	NUM
ejpam-4765	595	45	and	and	CCONJ
ejpam-4765	595	46	different	different	ADJ
ejpam-4765	595	47	values	value	NOUN
ejpam-4765	595	48	of	of	ADP
ejpam-4765	595	49	ρ	ρ	NOUN
ejpam-4765	595	50	:	:	PUNCT
ejpam-4765	596	1	=	=	SYM
ejpam-4765	596	2	−0.5	−0.5	ADJ
ejpam-4765	596	3	;	;	PUNCT
ejpam-4765	596	4	−0.75	−0.75	ADJ
ejpam-4765	596	5	;	;	PUNCT
ejpam-4765	596	6	−1	−1	NOUN
ejpam-4765	596	7	.	.	PUNCT
ejpam-4765	597	1	it	it	PRON
ejpam-4765	597	2	is	be	AUX
ejpam-4765	597	3	known	know	VERB
ejpam-4765	597	4	that	that	SCONJ
ejpam-4765	597	5	this	this	DET
ejpam-4765	597	6	distribution	distribution	NOUN
ejpam-4765	597	7	is	be	AUX
ejpam-4765	597	8	heavy	heavy	ADV
ejpam-4765	597	9	-	-	PUNCT
ejpam-4765	597	10	tailed	tail	VERB
ejpam-4765	597	11	and	and	CCONJ
ejpam-4765	597	12	satisfies	satisfy	VERB
ejpam-4765	597	13	the	the	DET
ejpam-4765	597	14	second	second	ADJ
ejpam-4765	597	15	order	order	NOUN
ejpam-4765	597	16	condition	condition	NOUN
ejpam-4765	597	17	(	(	PUNCT
ejpam-4765	597	18	ru	ru	NOUN
ejpam-4765	597	19	)	)	PUNCT
ejpam-4765	597	20	with	with	ADP
ejpam-4765	597	21	a(t	a(t	NOUN
ejpam-4765	597	22	)	)	PUNCT
ejpam-4765	597	23	=	=	SYM
ejpam-4765	597	24	γtρ	γtρ	NOUN
ejpam-4765	597	25	.	.	PUNCT
ejpam-4765	598	1	this	this	DET
ejpam-4765	598	2	kind	kind	NOUN
ejpam-4765	598	3	of	of	ADP
ejpam-4765	598	4	burr	burr	NOUN
ejpam-4765	598	5	distribution	distribution	NOUN
ejpam-4765	598	6	and	and	CCONJ
ejpam-4765	598	7	its	its	PRON
ejpam-4765	598	8	unidentified	unidentified	ADJ
ejpam-4765	598	9	parameters	parameter	NOUN
ejpam-4765	598	10	were	be	AUX
ejpam-4765	598	11	previously	previously	ADV
ejpam-4765	598	12	used	use	VERB
ejpam-4765	598	13	by	by	ADP
ejpam-4765	598	14	various	various	ADJ
ejpam-4765	598	15	authors	author	NOUN
ejpam-4765	598	16	such	such	ADJ
ejpam-4765	598	17	as	as	ADP
ejpam-4765	598	18	[	[	X
ejpam-4765	598	19	13	13	NUM
ejpam-4765	598	20	]	]	PUNCT
ejpam-4765	598	21	,	,	PUNCT
ejpam-4765	598	22	[	[	X
ejpam-4765	598	23	14	14	NUM
ejpam-4765	598	24	]	]	PUNCT
ejpam-4765	598	25	and	and	CCONJ
ejpam-4765	598	26	[	[	X
ejpam-4765	598	27	11	11	NUM
ejpam-4765	598	28	]	]	PUNCT
ejpam-4765	598	29	to	to	PART
ejpam-4765	598	30	assess	assess	VERB
ejpam-4765	598	31	risk	risk	NOUN
ejpam-4765	598	32	measures	measure	NOUN
ejpam-4765	598	33	for	for	ADP
ejpam-4765	598	34	heavy	heavy	ADJ
ejpam-4765	598	35	-	-	PUNCT
ejpam-4765	598	36	tailed	tail	VERB
ejpam-4765	598	37	losses	loss	NOUN
ejpam-4765	598	38	.	.	PUNCT
ejpam-4765	599	1	[	[	X
ejpam-4765	599	2	29	29	NUM
ejpam-4765	599	3	]	]	PUNCT
ejpam-4765	599	4	and	and	CCONJ
ejpam-4765	599	5	[	[	X
ejpam-4765	599	6	15	15	NUM
ejpam-4765	599	7	]	]	PUNCT
ejpam-4765	599	8	also	also	ADV
ejpam-4765	599	9	used	use	VERB
ejpam-4765	599	10	this	this	DET
ejpam-4765	599	11	kind	kind	NOUN
ejpam-4765	599	12	of	of	ADP
ejpam-4765	599	13	distribution	distribution	NOUN
ejpam-4765	599	14	to	to	PART
ejpam-4765	599	15	estimate	estimate	VERB
ejpam-4765	599	16	the	the	DET
ejpam-4765	599	17	qsr	qsr	PROPN
ejpam-4765	599	18	index	index	NOUN
ejpam-4765	599	19	for	for	ADP
ejpam-4765	599	20	heavy	heavy	ADJ
ejpam-4765	599	21	-	-	PUNCT
ejpam-4765	599	22	tailed	tail	VERB
ejpam-4765	599	23	capital	capital	NOUN
ejpam-4765	599	24	incomes	income	NOUN
ejpam-4765	599	25	.	.	PUNCT
ejpam-4765	600	1	now	now	ADV
ejpam-4765	600	2	,	,	PUNCT
ejpam-4765	600	3	for	for	ADP
ejpam-4765	600	4	computation	computation	NOUN
ejpam-4765	600	5	and	and	CCONJ
ejpam-4765	600	6	the	the	DET
ejpam-4765	600	7	comparison	comparison	NOUN
ejpam-4765	600	8	of	of	ADP
ejpam-4765	600	9	the	the	DET
ejpam-4765	600	10	estimators	estimator	NOUN
ejpam-4765	600	11	,	,	PUNCT
ejpam-4765	600	12	we	we	PRON
ejpam-4765	600	13	adopt	adopt	VERB
ejpam-4765	600	14	the	the	DET
ejpam-4765	600	15	following	follow	VERB
ejpam-4765	600	16	steps	step	NOUN
ejpam-4765	600	17	:	:	PUNCT
ejpam-4765	600	18	•	•	ADP
ejpam-4765	600	19	the	the	DET
ejpam-4765	600	20	estimator	estimator	NOUN
ejpam-4765	600	21	η̂	η̂	NUM
ejpam-4765	600	22	(	(	PUNCT
ejpam-4765	600	23	k	k	NOUN
ejpam-4765	600	24	)	)	PUNCT
ejpam-4765	600	25	n	n	CCONJ
ejpam-4765	600	26	,	,	PUNCT
ejpam-4765	600	27	k	k	X
ejpam-4765	600	28	(	(	PUNCT
ejpam-4765	600	29	0.2	0.2	NUM
ejpam-4765	600	30	,	,	PUNCT
ejpam-4765	600	31	0.8	0.8	NUM
ejpam-4765	600	32	)	)	PUNCT
ejpam-4765	600	33	is	be	AUX
ejpam-4765	600	34	computed	compute	VERB
ejpam-4765	600	35	with	with	ADP
ejpam-4765	600	36	the	the	DET
ejpam-4765	600	37	tail	tail	NOUN
ejpam-4765	600	38	index	index	NOUN
ejpam-4765	600	39	estimators	estimator	NOUN
ejpam-4765	600	40	γ̂	γ̂	PUNCT
ejpam-4765	600	41	(	(	PUNCT
ejpam-4765	600	42	k	k	NOUN
ejpam-4765	600	43	)	)	PUNCT
ejpam-4765	600	44	n	n	CCONJ
ejpam-4765	600	45	,	,	PUNCT
ejpam-4765	600	46	k	k	X
ejpam-4765	600	47	,	,	PUNCT
ejpam-4765	600	48	for	for	ADP
ejpam-4765	600	49	different	different	ADJ
ejpam-4765	600	50	sample	sample	NOUN
ejpam-4765	600	51	fractional	fractional	ADJ
ejpam-4765	600	52	numbers	number	NOUN
ejpam-4765	600	53	of	of	ADP
ejpam-4765	600	54	top	top	ADJ
ejpam-4765	600	55	order	order	NOUN
ejpam-4765	600	56	statistics	statistic	NOUN
ejpam-4765	600	57	k	k	NOUN
ejpam-4765	601	1	=	=	PUNCT
ejpam-4765	601	2	10	10	NUM
ejpam-4765	601	3	,	,	PUNCT
ejpam-4765	601	4	...	...	PUNCT
ejpam-4765	601	5	,	,	PUNCT
ejpam-4765	601	6	mn	mn	PROPN
ejpam-4765	601	7	,	,	PUNCT
ejpam-4765	601	8	where	where	SCONJ
ejpam-4765	601	9	mn	mn	PROPN
ejpam-4765	601	10	is	be	AUX
ejpam-4765	601	11	the	the	DET
ejpam-4765	601	12	m.	m.	NOUN
ejpam-4765	602	1	kebe	kebe	PROPN
ejpam-4765	602	2	et	et	PROPN
ejpam-4765	602	3	al	al	PROPN
ejpam-4765	602	4	.	.	PUNCT
ejpam-4765	602	5	/	/	SYM
ejpam-4765	602	6	eur	eur	PROPN
ejpam-4765	602	7	.	.	PUNCT
ejpam-4765	603	1	j.	j.	PROPN
ejpam-4765	603	2	pure	pure	PROPN
ejpam-4765	603	3	appl	appl	PROPN
ejpam-4765	603	4	.	.	PROPN
ejpam-4765	603	5	math	math	PROPN
ejpam-4765	603	6	,	,	PUNCT
ejpam-4765	603	7	16	16	NUM
ejpam-4765	603	8	(	(	PUNCT
ejpam-4765	603	9	4	4	NUM
ejpam-4765	603	10	)	)	PUNCT
ejpam-4765	603	11	(	(	PUNCT
ejpam-4765	603	12	2023	2023	NUM
ejpam-4765	603	13	)	)	PUNCT
ejpam-4765	603	14	,	,	PUNCT
ejpam-4765	603	15	2509	2509	NUM
ejpam-4765	603	16	-	-	SYM
ejpam-4765	603	17	2543	2543	NUM
ejpam-4765	603	18	2535	2535	NUM
ejpam-4765	603	19	integer	integer	NOUN
ejpam-4765	603	20	part	part	NOUN
ejpam-4765	603	21	of	of	ADP
ejpam-4765	603	22	0.2	0.2	NUM
ejpam-4765	603	23	×	×	NOUN
ejpam-4765	603	24	n	n	CCONJ
ejpam-4765	603	25	,	,	PUNCT
ejpam-4765	603	26	which	which	PRON
ejpam-4765	603	27	ensures	ensure	VERB
ejpam-4765	603	28	the	the	DET
ejpam-4765	603	29	validity	validity	NOUN
ejpam-4765	603	30	of	of	ADP
ejpam-4765	603	31	the	the	DET
ejpam-4765	603	32	condition	condition	NOUN
ejpam-4765	603	33	β	β	NOUN
ejpam-4765	603	34	=	=	PUNCT
ejpam-4765	604	1	0.8	0.8	NUM
ejpam-4765	604	2	<	<	SYM
ejpam-4765	604	3	1	1	NUM
ejpam-4765	604	4	−	−	PROPN
ejpam-4765	604	5	k	k	X
ejpam-4765	604	6	/	/	SYM
ejpam-4765	604	7	n.	n.	NOUN
ejpam-4765	604	8	for	for	ADP
ejpam-4765	604	9	the	the	DET
ejpam-4765	604	10	choice	choice	NOUN
ejpam-4765	604	11	of	of	ADP
ejpam-4765	604	12	the	the	DET
ejpam-4765	604	13	kernels	kernel	NOUN
ejpam-4765	604	14	k	k	PROPN
ejpam-4765	604	15	,	,	PUNCT
ejpam-4765	604	16	we	we	PRON
ejpam-4765	604	17	use	use	VERB
ejpam-4765	604	18	the	the	DET
ejpam-4765	604	19	power	power	NOUN
ejpam-4765	604	20	kernel	kernel	NOUN
ejpam-4765	604	21	,	,	PUNCT
ejpam-4765	604	22	which	which	PRON
ejpam-4765	604	23	satisfies	satisfy	VERB
ejpam-4765	604	24	the	the	DET
ejpam-4765	604	25	assumption	assumption	NOUN
ejpam-4765	604	26	(	(	PUNCT
ejpam-4765	604	27	k	k	NOUN
ejpam-4765	604	28	)	)	PUNCT
ejpam-4765	604	29	and	and	CCONJ
ejpam-4765	604	30	is	be	AUX
ejpam-4765	604	31	defined	define	VERB
ejpam-4765	604	32	by	by	ADP
ejpam-4765	604	33	k(s	k(s	PROPN
ejpam-4765	604	34	)	)	PUNCT
ejpam-4765	604	35	=	=	PUNCT
ejpam-4765	605	1	(	(	PUNCT
ejpam-4765	605	2	1	1	NUM
ejpam-4765	605	3	+	+	CCONJ
ejpam-4765	605	4	τ)sτ	τ)sτ	PROPN
ejpam-4765	605	5	i{0	i{0	PROPN
ejpam-4765	605	6	<	<	X
ejpam-4765	605	7	s<1	s<1	NOUN
ejpam-4765	605	8	}	}	PUNCT
ejpam-4765	605	9	,	,	PUNCT
ejpam-4765	605	10	with	with	ADP
ejpam-4765	605	11	τ	τ	PROPN
ejpam-4765	605	12	:	:	PUNCT
ejpam-4765	605	13	=	=	SYM
ejpam-4765	605	14	0	0	NUM
ejpam-4765	605	15	,	,	PUNCT
ejpam-4765	605	16	1	1	NUM
ejpam-4765	605	17	.	.	PUNCT
ejpam-4765	606	1	in	in	ADP
ejpam-4765	606	2	the	the	DET
ejpam-4765	606	3	case	case	NOUN
ejpam-4765	606	4	where	where	SCONJ
ejpam-4765	606	5	τ	τ	PROPN
ejpam-4765	606	6	=	=	SYM
ejpam-4765	606	7	0	0	PROPN
ejpam-4765	606	8	,	,	PUNCT
ejpam-4765	606	9	we	we	PRON
ejpam-4765	606	10	denote	denote	VERB
ejpam-4765	606	11	k	k	X
ejpam-4765	606	12	:	:	PUNCT
ejpam-4765	606	13	=	=	SYM
ejpam-4765	606	14	k1	k1	PROPN
ejpam-4765	606	15	=	=	SYM
ejpam-4765	606	16	k	k	PROPN
ejpam-4765	606	17	and	and	CCONJ
ejpam-4765	606	18	η̂	η̂	PROPN
ejpam-4765	606	19	(	(	PUNCT
ejpam-4765	606	20	k	k	NOUN
ejpam-4765	606	21	)	)	PUNCT
ejpam-4765	606	22	n	n	CCONJ
ejpam-4765	606	23	,	,	PUNCT
ejpam-4765	606	24	k	k	X
ejpam-4765	606	25	(	(	PUNCT
ejpam-4765	606	26	0.2	0.2	NUM
ejpam-4765	606	27	,	,	PUNCT
ejpam-4765	606	28	0.8	0.8	NUM
ejpam-4765	606	29	)	)	PUNCT
ejpam-4765	606	30	corresponds	correspond	VERB
ejpam-4765	606	31	to	to	ADP
ejpam-4765	606	32	the	the	DET
ejpam-4765	606	33	qsr	qsr	PROPN
ejpam-4765	606	34	index	index	NOUN
ejpam-4765	606	35	estimator	estimator	NOUN
ejpam-4765	606	36	associated	associate	VERB
ejpam-4765	606	37	with	with	ADP
ejpam-4765	606	38	the	the	DET
ejpam-4765	606	39	hill	hill	NOUN
ejpam-4765	606	40	’s	’s	PART
ejpam-4765	606	41	estimator	estimator	NOUN
ejpam-4765	606	42	γ̂	γ̂	PROPN
ejpam-4765	607	1	(	(	PUNCT
ejpam-4765	607	2	k	k	NOUN
ejpam-4765	607	3	)	)	PUNCT
ejpam-4765	607	4	n	n	CCONJ
ejpam-4765	607	5	,	,	PUNCT
ejpam-4765	607	6	k	k	PROPN
ejpam-4765	607	7	.	.	PUNCT
ejpam-4765	608	1	for	for	ADP
ejpam-4765	608	2	τ	τ	PROPN
ejpam-4765	608	3	=	=	SYM
ejpam-4765	608	4	1	1	NUM
ejpam-4765	608	5	,	,	PUNCT
ejpam-4765	608	6	the	the	DET
ejpam-4765	608	7	corresponding	corresponding	ADJ
ejpam-4765	608	8	kernel	kernel	NOUN
ejpam-4765	608	9	is	be	AUX
ejpam-4765	608	10	exactly	exactly	ADV
ejpam-4765	608	11	the	the	DET
ejpam-4765	608	12	above	above	ADJ
ejpam-4765	608	13	mentioned	mention	VERB
ejpam-4765	608	14	k	k	NOUN
ejpam-4765	608	15	:	:	PUNCT
ejpam-4765	608	16	=	=	SYM
ejpam-4765	608	17	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	608	18	,	,	PUNCT
ejpam-4765	608	19	with	with	ADP
ejpam-4765	608	20	ρ̄	ρ̄	NOUN
ejpam-4765	608	21	=	=	SYM
ejpam-4765	608	22	−1	−1	NOUN
ejpam-4765	608	23	.	.	NOUN
ejpam-4765	609	1	•	•	NUM
ejpam-4765	609	2	the	the	DET
ejpam-4765	609	3	estimator	estimator	NOUN
ejpam-4765	609	4	η̃	η̃	PROPN
ejpam-4765	609	5	(	(	PUNCT
ejpam-4765	609	6	k	k	PROPN
ejpam-4765	609	7	∆̂∗	∆̂∗	PROPN
ejpam-4765	609	8	opt	opt	PROPN
ejpam-4765	609	9	)	)	PUNCT
ejpam-4765	609	10	n	n	CCONJ
ejpam-4765	609	11	,	,	PUNCT
ejpam-4765	609	12	k	k	PROPN
ejpam-4765	609	13	,	,	PUNCT
ejpam-4765	609	14	ρ̂	ρ̂	NUM
ejpam-4765	609	15	(	(	PUNCT
ejpam-4765	609	16	0.2	0.2	NUM
ejpam-4765	609	17	,	,	PUNCT
ejpam-4765	609	18	0.8	0.8	NUM
ejpam-4765	609	19	)	)	PUNCT
ejpam-4765	609	20	is	be	AUX
ejpam-4765	609	21	computed	compute	VERB
ejpam-4765	609	22	with	with	ADP
ejpam-4765	609	23	the	the	DET
ejpam-4765	609	24	tail	tail	NOUN
ejpam-4765	609	25	index	index	NOUN
ejpam-4765	609	26	estimators	estimator	NOUN
ejpam-4765	609	27	γ̂	γ̂	PUNCT
ejpam-4765	610	1	(	(	PUNCT
ejpam-4765	610	2	k	k	PROPN
ejpam-4765	610	3	∆̂∗	∆̂∗	PROPN
ejpam-4765	610	4	opt	opt	PROPN
ejpam-4765	610	5	)	)	PUNCT
ejpam-4765	610	6	n	n	CCONJ
ejpam-4765	610	7	,	,	PUNCT
ejpam-4765	610	8	k	k	X
ejpam-4765	610	9	,	,	PUNCT
ejpam-4765	610	10	for	for	ADP
ejpam-4765	610	11	k	k	PROPN
ejpam-4765	610	12	=	=	SYM
ejpam-4765	610	13	10	10	NUM
ejpam-4765	610	14	,	,	PUNCT
ejpam-4765	610	15	...	...	PUNCT
ejpam-4765	610	16	,	,	PUNCT
ejpam-4765	610	17	mn	mn	PROPN
ejpam-4765	610	18	and	and	CCONJ
ejpam-4765	610	19	ρ̂	ρ̂	NUM
ejpam-4765	610	20	:	:	PUNCT
ejpam-4765	610	21	=	=	SYM
ejpam-4765	610	22	ρ̂k∗ρ	ρ̂k∗ρ	PROPN
ejpam-4765	610	23	defined	define	VERB
ejpam-4765	610	24	in	in	ADP
ejpam-4765	610	25	(	(	PUNCT
ejpam-4765	610	26	43	43	NUM
ejpam-4765	610	27	)	)	PUNCT
ejpam-4765	610	28	,	,	PUNCT
ejpam-4765	610	29	where	where	SCONJ
ejpam-4765	610	30	k∗ρ	k∗ρ	NOUN
ejpam-4765	610	31	is	be	AUX
ejpam-4765	610	32	selected	select	VERB
ejpam-4765	610	33	as	as	SCONJ
ejpam-4765	610	34	follows	follow	VERB
ejpam-4765	610	35	:	:	PUNCT
ejpam-4765	610	36	k∗ρ	k∗ρ	X
ejpam-4765	610	37	:	:	PUNCT
ejpam-4765	610	38	=	=	SYM
ejpam-4765	610	39	sup	sup	INTJ
ejpam-4765	610	40	{	{	PUNCT
ejpam-4765	610	41	kρ	kρ	NOUN
ejpam-4765	610	42	:	:	PUNCT
ejpam-4765	610	43	kρ	kρ	PROPN
ejpam-4765	610	44	≤	≤	NUM
ejpam-4765	610	45	min	min	NOUN
ejpam-4765	610	46	(	(	PUNCT
ejpam-4765	610	47	n−	n−	NOUN
ejpam-4765	610	48	1	1	NUM
ejpam-4765	610	49	,	,	PUNCT
ejpam-4765	610	50	2n	2n	NUM
ejpam-4765	610	51	log	log	NOUN
ejpam-4765	610	52	logn	logn	NOUN
ejpam-4765	610	53	)	)	PUNCT
ejpam-4765	610	54	and	and	CCONJ
ejpam-4765	610	55	ρ̂kρ	ρ̂kρ	NOUN
ejpam-4765	610	56	exists	exist	VERB
ejpam-4765	610	57	}	}	PUNCT
ejpam-4765	610	58	.	.	PUNCT
ejpam-4765	611	1	•	•	NOUN
ejpam-4765	611	2	next	next	ADV
ejpam-4765	611	3	,	,	PUNCT
ejpam-4765	611	4	we	we	PRON
ejpam-4765	611	5	compare	compare	VERB
ejpam-4765	611	6	on	on	ADP
ejpam-4765	611	7	the	the	DET
ejpam-4765	611	8	one	one	NUM
ejpam-4765	611	9	hand	hand	NOUN
ejpam-4765	611	10	the	the	DET
ejpam-4765	611	11	performance	performance	NOUN
ejpam-4765	611	12	of	of	ADP
ejpam-4765	611	13	the	the	DET
ejpam-4765	611	14	mentioned	mention	VERB
ejpam-4765	611	15	qsr	qsr	NOUN
ejpam-4765	611	16	index	index	NOUN
ejpam-4765	611	17	estimators	estimator	NOUN
ejpam-4765	611	18	by	by	ADP
ejpam-4765	611	19	computing	compute	VERB
ejpam-4765	611	20	the	the	DET
ejpam-4765	611	21	absolute	absolute	ADJ
ejpam-4765	611	22	value	value	NOUN
ejpam-4765	611	23	of	of	ADP
ejpam-4765	611	24	the	the	DET
ejpam-4765	611	25	median	median	NOUN
ejpam-4765	611	26	together	together	ADV
ejpam-4765	611	27	with	with	ADP
ejpam-4765	611	28	the	the	DET
ejpam-4765	611	29	median	median	ADJ
ejpam-4765	611	30	squared	square	VERB
ejpam-4765	611	31	errors	error	NOUN
ejpam-4765	611	32	(	(	PUNCT
ejpam-4765	611	33	mse	mse	NOUN
ejpam-4765	611	34	)	)	PUNCT
ejpam-4765	611	35	based	base	VERB
ejpam-4765	611	36	on	on	ADP
ejpam-4765	611	37	the	the	DET
ejpam-4765	611	38	n	n	NOUN
ejpam-4765	611	39	samples	sample	NOUN
ejpam-4765	611	40	,	,	PUNCT
ejpam-4765	611	41	and	and	CCONJ
ejpam-4765	611	42	defined	define	VERB
ejpam-4765	611	43	as	as	ADP
ejpam-4765	611	44	:	:	PUNCT
ejpam-4765	611	45	abias(η	abias(η	PROPN
ejpam-4765	611	46	,	,	PUNCT
ejpam-4765	611	47	k	k	PROPN
ejpam-4765	611	48	)	)	PUNCT
ejpam-4765	611	49	:	:	PUNCT
ejpam-4765	612	1	=	=	SYM
ejpam-4765	612	2	∣∣∣∣∣median	∣∣∣∣∣median	ADJ
ejpam-4765	612	3	{	{	PUNCT
ejpam-4765	612	4	η̂(1	η̂(1	PROPN
ejpam-4765	612	5	)	)	PUNCT
ejpam-4765	612	6	η	η	PROPN
ejpam-4765	612	7	,	,	PUNCT
ejpam-4765	612	8	...	...	PUNCT
ejpam-4765	612	9	,	,	PUNCT
ejpam-4765	612	10	η̂(n	η̂(n	NOUN
ejpam-4765	612	11	)	)	PUNCT
ejpam-4765	612	12	η	η	PROPN
ejpam-4765	612	13	}	}	PUNCT
ejpam-4765	612	14	−	−	PROPN
ejpam-4765	612	15	1	1	NUM
ejpam-4765	612	16	∣∣∣∣∣	∣∣∣∣∣	NUM
ejpam-4765	612	17	and	and	CCONJ
ejpam-4765	612	18	mse(η	mse(η	PROPN
ejpam-4765	612	19	,	,	PUNCT
ejpam-4765	612	20	k	k	NOUN
ejpam-4765	612	21	)	)	PUNCT
ejpam-4765	612	22	:	:	PUNCT
ejpam-4765	613	1	=	=	SYM
ejpam-4765	613	2	median	median	ADJ
ejpam-4765	613	3			PUNCT
ejpam-4765	613	4	(	(	PUNCT
ejpam-4765	613	5	η̂(1	η̂(1	PROPN
ejpam-4765	613	6	)	)	PUNCT
ejpam-4765	613	7	η	η	PROPN
ejpam-4765	613	8	−	−	PROPN
ejpam-4765	613	9	1	1	NUM
ejpam-4765	613	10	)	)	SYM
ejpam-4765	613	11	2	2	NUM
ejpam-4765	613	12	,	,	PUNCT
ejpam-4765	613	13	...	...	PUNCT
ejpam-4765	613	14	,	,	PUNCT
ejpam-4765	613	15	(	(	PUNCT
ejpam-4765	613	16	η̂(n	η̂(n	NOUN
ejpam-4765	613	17	)	)	PUNCT
ejpam-4765	613	18	η	η	NOUN
ejpam-4765	613	19	−	−	PROPN
ejpam-4765	613	20	1	1	NUM
ejpam-4765	613	21	)	)	SYM
ejpam-4765	613	22	2	2	NUM
ejpam-4765	613	23			NOUN
ejpam-4765	613	24	,	,	PUNCT
ejpam-4765	613	25	where	where	SCONJ
ejpam-4765	613	26	η	η	NOUN
ejpam-4765	613	27	:	:	PUNCT
ejpam-4765	613	28	=	=	SYM
ejpam-4765	613	29	η(q	η(q	NOUN
ejpam-4765	613	30	,	,	PUNCT
ejpam-4765	613	31	0.2	0.2	NUM
ejpam-4765	613	32	,	,	PUNCT
ejpam-4765	613	33	0.8	0.8	NUM
ejpam-4765	613	34	)	)	PUNCT
ejpam-4765	613	35	is	be	AUX
ejpam-4765	613	36	the	the	DET
ejpam-4765	613	37	true	true	ADJ
ejpam-4765	613	38	value	value	NOUN
ejpam-4765	613	39	of	of	ADP
ejpam-4765	613	40	the	the	DET
ejpam-4765	613	41	qsr	qsr	PROPN
ejpam-4765	613	42	index	index	NOUN
ejpam-4765	613	43	and	and	CCONJ
ejpam-4765	613	44	η̂(i	η̂(i	NOUN
ejpam-4765	613	45	)	)	PUNCT
ejpam-4765	613	46	is	be	AUX
ejpam-4765	613	47	the	the	DET
ejpam-4765	613	48	i	i	PROPN
ejpam-4765	613	49	-	-	PUNCT
ejpam-4765	613	50	th	th	VERB
ejpam-4765	613	51	value	value	NOUN
ejpam-4765	613	52	(	(	PUNCT
ejpam-4765	613	53	i	i	NOUN
ejpam-4765	613	54	=	=	NOUN
ejpam-4765	613	55	1	1	NUM
ejpam-4765	613	56	,	,	PUNCT
ejpam-4765	613	57	...	...	PUNCT
ejpam-4765	613	58	,	,	PUNCT
ejpam-4765	613	59	n	n	CCONJ
ejpam-4765	613	60	)	)	PUNCT
ejpam-4765	613	61	of	of	ADP
ejpam-4765	613	62	an	an	DET
ejpam-4765	613	63	estimator	estimator	NOUN
ejpam-4765	613	64	of	of	ADP
ejpam-4765	613	65	η(q	η(q	PROPN
ejpam-4765	613	66	,	,	PUNCT
ejpam-4765	613	67	0.2	0.2	NUM
ejpam-4765	613	68	,	,	PUNCT
ejpam-4765	613	69	0.8	0.8	NUM
ejpam-4765	613	70	)	)	PUNCT
ejpam-4765	613	71	evaluated	evaluate	VERB
ejpam-4765	613	72	at	at	ADP
ejpam-4765	613	73	different	different	ADJ
ejpam-4765	613	74	sample	sample	NOUN
ejpam-4765	613	75	fractional	fractional	ADJ
ejpam-4765	613	76	numbers	number	NOUN
ejpam-4765	613	77	of	of	ADP
ejpam-4765	613	78	top	top	ADJ
ejpam-4765	613	79	order	order	NOUN
ejpam-4765	613	80	statistics	statistic	NOUN
ejpam-4765	613	81	k	k	PROPN
ejpam-4765	613	82	as	as	SCONJ
ejpam-4765	613	83	mentioned	mention	VERB
ejpam-4765	613	84	above	above	ADV
ejpam-4765	613	85	.	.	PUNCT
ejpam-4765	614	1	figure	figure	VERB
ejpam-4765	614	2	1	1	NUM
ejpam-4765	614	3	resp	resp	NOUN
ejpam-4765	614	4	.	.	PUNCT
ejpam-4765	615	1	figure	figure	NOUN
ejpam-4765	615	2	2	2	NUM
ejpam-4765	615	3	show	show	VERB
ejpam-4765	615	4	the	the	DET
ejpam-4765	615	5	absolute	absolute	ADJ
ejpam-4765	615	6	bias	bias	NOUN
ejpam-4765	615	7	of	of	ADP
ejpam-4765	615	8	the	the	DET
ejpam-4765	615	9	median	median	ADJ
ejpam-4765	615	10	resp	resp	NOUN
ejpam-4765	615	11	.	.	PUNCT
ejpam-4765	616	1	the	the	DET
ejpam-4765	616	2	median	median	ADJ
ejpam-4765	616	3	squared	square	VERB
ejpam-4765	616	4	error	error	NOUN
ejpam-4765	616	5	of	of	ADP
ejpam-4765	616	6	η̂	η̂	PROPN
ejpam-4765	616	7	(	(	PUNCT
ejpam-4765	616	8	k	k	NOUN
ejpam-4765	616	9	)	)	PUNCT
ejpam-4765	616	10	n	n	CCONJ
ejpam-4765	616	11	,	,	PUNCT
ejpam-4765	616	12	k	k	X
ejpam-4765	616	13	(	(	PUNCT
ejpam-4765	616	14	0.2	0.2	NUM
ejpam-4765	616	15	,	,	PUNCT
ejpam-4765	616	16	0.8	0.8	NUM
ejpam-4765	616	17	)	)	PUNCT
ejpam-4765	616	18	(	(	PUNCT
ejpam-4765	616	19	black	black	ADJ
ejpam-4765	616	20	line	line	NOUN
ejpam-4765	616	21	)	)	PUNCT
ejpam-4765	616	22	,	,	PUNCT
ejpam-4765	616	23	η̂	η̂	PROPN
ejpam-4765	616	24	(	(	PUNCT
ejpam-4765	616	25	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	616	26	)	)	PUNCT
ejpam-4765	616	27	n	n	CCONJ
ejpam-4765	616	28	,	,	PUNCT
ejpam-4765	616	29	k	k	X
ejpam-4765	616	30	(	(	PUNCT
ejpam-4765	616	31	0.2	0.2	NUM
ejpam-4765	616	32	,	,	PUNCT
ejpam-4765	616	33	0.8	0.8	NUM
ejpam-4765	616	34	)	)	PUNCT
ejpam-4765	616	35	(	(	PUNCT
ejpam-4765	616	36	blue	blue	ADJ
ejpam-4765	616	37	line	line	NOUN
ejpam-4765	616	38	)	)	PUNCT
ejpam-4765	616	39	and	and	CCONJ
ejpam-4765	616	40	η̃	η̃	PROPN
ejpam-4765	616	41	(	(	PUNCT
ejpam-4765	616	42	k	k	PROPN
ejpam-4765	616	43	∆̂∗	∆̂∗	PROPN
ejpam-4765	616	44	opt	opt	PROPN
ejpam-4765	616	45	)	)	PUNCT
ejpam-4765	616	46	n	n	CCONJ
ejpam-4765	616	47	,	,	PUNCT
ejpam-4765	616	48	k	k	PROPN
ejpam-4765	616	49	,	,	PUNCT
ejpam-4765	616	50	ρ̂	ρ̂	NUM
ejpam-4765	616	51	(	(	PUNCT
ejpam-4765	616	52	0.2	0.2	NUM
ejpam-4765	616	53	,	,	PUNCT
ejpam-4765	616	54	0.8	0.8	NUM
ejpam-4765	616	55	)	)	PUNCT
ejpam-4765	616	56	(	(	PUNCT
ejpam-4765	616	57	red	red	ADJ
ejpam-4765	616	58	line	line	NOUN
ejpam-4765	616	59	)	)	PUNCT
ejpam-4765	616	60	as	as	ADP
ejpam-4765	616	61	a	a	DET
ejpam-4765	616	62	function	function	NOUN
ejpam-4765	616	63	of	of	ADP
ejpam-4765	616	64	k	k	PROPN
ejpam-4765	616	65	based	base	VERB
ejpam-4765	616	66	on	on	ADP
ejpam-4765	616	67	n	n	NOUN
ejpam-4765	616	68	=	=	SYM
ejpam-4765	616	69	500	500	NUM
ejpam-4765	616	70	samples	sample	NOUN
ejpam-4765	616	71	of	of	ADP
ejpam-4765	616	72	size	size	NOUN
ejpam-4765	616	73	1000	1000	NUM
ejpam-4765	616	74	(	(	PUNCT
ejpam-4765	616	75	top	top	NOUN
ejpam-4765	616	76	)	)	PUNCT
ejpam-4765	616	77	,	,	PUNCT
ejpam-4765	616	78	1500	1500	NUM
ejpam-4765	616	79	(	(	PUNCT
ejpam-4765	616	80	middle	middle	ADJ
ejpam-4765	616	81	)	)	PUNCT
ejpam-4765	616	82	and	and	CCONJ
ejpam-4765	616	83	2000	2000	NUM
ejpam-4765	616	84	(	(	PUNCT
ejpam-4765	616	85	down	down	ADV
ejpam-4765	616	86	)	)	PUNCT
ejpam-4765	616	87	for	for	ADP
ejpam-4765	616	88	qsr	qsr	NOUN
ejpam-4765	616	89	index	index	NOUN
ejpam-4765	616	90	η(q	η(q	NOUN
ejpam-4765	616	91	,	,	PUNCT
ejpam-4765	616	92	0.2	0.2	NUM
ejpam-4765	616	93	,	,	PUNCT
ejpam-4765	616	94	0.8	0.8	NUM
ejpam-4765	616	95	)	)	PUNCT
ejpam-4765	616	96	from	from	ADP
ejpam-4765	616	97	the	the	DET
ejpam-4765	616	98	underlying	underlie	VERB
ejpam-4765	616	99	burr	burr	NOUN
ejpam-4765	616	100	distribution	distribution	NOUN
ejpam-4765	616	101	.	.	PUNCT
ejpam-4765	617	1	from	from	ADP
ejpam-4765	617	2	the	the	DET
ejpam-4765	617	3	left	left	NOUN
ejpam-4765	617	4	to	to	ADP
ejpam-4765	617	5	the	the	DET
ejpam-4765	617	6	right	right	NOUN
ejpam-4765	617	7	:	:	PUNCT
ejpam-4765	617	8	(	(	PUNCT
ejpam-4765	617	9	ρ	ρ	NOUN
ejpam-4765	617	10	=	=	SYM
ejpam-4765	617	11	−0.5	−0.5	PROPN
ejpam-4765	617	12	,	,	PUNCT
ejpam-4765	617	13	η(q	η(q	NOUN
ejpam-4765	617	14	,	,	PUNCT
ejpam-4765	617	15	0.2	0.2	NUM
ejpam-4765	617	16	,	,	PUNCT
ejpam-4765	617	17	0.8	0.8	NUM
ejpam-4765	617	18	)	)	PUNCT
ejpam-4765	617	19	=	=	NOUN
ejpam-4765	618	1	292.93	292.93	NUM
ejpam-4765	618	2	)	)	PUNCT
ejpam-4765	618	3	,	,	PUNCT
ejpam-4765	618	4	(	(	PUNCT
ejpam-4765	618	5	ρ	ρ	NOUN
ejpam-4765	618	6	=	=	SYM
ejpam-4765	618	7	−0.75	−0.75	ADJ
ejpam-4765	618	8	,	,	PUNCT
ejpam-4765	618	9	η(q	η(q	NOUN
ejpam-4765	618	10	,	,	PUNCT
ejpam-4765	618	11	0.2	0.2	NUM
ejpam-4765	618	12	,	,	PUNCT
ejpam-4765	618	13	0.8	0.8	NUM
ejpam-4765	618	14	)	)	PUNCT
ejpam-4765	618	15	=	=	SYM
ejpam-4765	618	16	73.47	73.47	NUM
ejpam-4765	618	17	)	)	PUNCT
ejpam-4765	618	18	and	and	CCONJ
ejpam-4765	618	19	(	(	PUNCT
ejpam-4765	618	20	ρ	ρ	NOUN
ejpam-4765	618	21	=	=	SYM
ejpam-4765	618	22	−1	−1	NOUN
ejpam-4765	618	23	,	,	PUNCT
ejpam-4765	618	24	η(q,0.2	η(q,0.2	NOUN
ejpam-4765	618	25	,	,	PUNCT
ejpam-4765	618	26	0.8	0.8	NUM
ejpam-4765	618	27	)	)	PUNCT
ejpam-4765	618	28	=	=	PUNCT
ejpam-4765	619	1	37.70	37.70	NUM
ejpam-4765	619	2	)	)	PUNCT
ejpam-4765	619	3	.	.	PUNCT
ejpam-4765	620	1	to	to	PART
ejpam-4765	620	2	compute	compute	VERB
ejpam-4765	620	3	the	the	DET
ejpam-4765	620	4	confidence	confidence	NOUN
ejpam-4765	620	5	intervals	interval	NOUN
ejpam-4765	620	6	of	of	ADP
ejpam-4765	620	7	the	the	DET
ejpam-4765	620	8	estimators	estimator	NOUN
ejpam-4765	620	9	under	under	ADP
ejpam-4765	620	10	simulation	simulation	NOUN
ejpam-4765	620	11	,	,	PUNCT
ejpam-4765	620	12	we	we	PRON
ejpam-4765	620	13	need	need	VERB
ejpam-4765	620	14	an	an	DET
ejpam-4765	620	15	optimal	optimal	ADJ
ejpam-4765	620	16	number	number	NOUN
ejpam-4765	620	17	of	of	ADP
ejpam-4765	620	18	k	k	NOUN
ejpam-4765	620	19	,	,	PUNCT
ejpam-4765	620	20	whose	whose	DET
ejpam-4765	620	21	choice	choice	NOUN
ejpam-4765	620	22	is	be	AUX
ejpam-4765	620	23	a	a	DET
ejpam-4765	620	24	serious	serious	ADJ
ejpam-4765	620	25	challenge	challenge	NOUN
ejpam-4765	620	26	.	.	PUNCT
ejpam-4765	621	1	the	the	DET
ejpam-4765	621	2	algorithm	algorithm	NOUN
ejpam-4765	621	3	of	of	ADP
ejpam-4765	621	4	[	[	X
ejpam-4765	621	5	39	39	NUM
ejpam-4765	621	6	]	]	PUNCT
ejpam-4765	621	7	,	,	PUNCT
ejpam-4765	621	8	page	page	NOUN
ejpam-4765	621	9	137	137	NUM
ejpam-4765	621	10	,	,	PUNCT
ejpam-4765	621	11	gives	give	VERB
ejpam-4765	621	12	an	an	DET
ejpam-4765	621	13	automatic	automatic	ADJ
ejpam-4765	621	14	choice	choice	NOUN
ejpam-4765	621	15	of	of	ADP
ejpam-4765	621	16	the	the	DET
ejpam-4765	621	17	number	number	NOUN
ejpam-4765	621	18	of	of	ADP
ejpam-4765	621	19	top	top	ADJ
ejpam-4765	621	20	extremes	extreme	NOUN
ejpam-4765	621	21	k	k	PROPN
ejpam-4765	621	22	for	for	ADP
ejpam-4765	621	23	tail	tail	NOUN
ejpam-4765	621	24	index	index	NOUN
ejpam-4765	621	25	estimators	estimator	NOUN
ejpam-4765	621	26	in	in	ADP
ejpam-4765	621	27	γ̂•n	γ̂•n	NOUN
ejpam-4765	621	28	,	,	PUNCT
ejpam-4765	621	29	k.	k.	VERB
ejpam-4765	622	1	according	accord	VERB
ejpam-4765	622	2	to	to	ADP
ejpam-4765	622	3	these	these	DET
ejpam-4765	622	4	authors	author	NOUN
ejpam-4765	622	5	,	,	PUNCT
ejpam-4765	622	6	an	an	DET
ejpam-4765	622	7	automatic	automatic	ADJ
ejpam-4765	622	8	choice	choice	NOUN
ejpam-4765	622	9	of	of	ADP
ejpam-4765	622	10	top	top	ADJ
ejpam-4765	622	11	extremes	extreme	NOUN
ejpam-4765	622	12	used	use	VERB
ejpam-4765	622	13	in	in	ADP
ejpam-4765	622	14	γ̂•n	γ̂•n	NOUN
ejpam-4765	622	15	,	,	PUNCT
ejpam-4765	622	16	k	k	PROPN
ejpam-4765	622	17	is	be	AUX
ejpam-4765	622	18	as	as	ADP
ejpam-4765	622	19	the	the	DET
ejpam-4765	622	20	m.	m.	NOUN
ejpam-4765	622	21	kebe	kebe	PROPN
ejpam-4765	622	22	et	et	PROPN
ejpam-4765	622	23	al	al	PROPN
ejpam-4765	622	24	.	.	PUNCT
ejpam-4765	622	25	/	/	SYM
ejpam-4765	622	26	eur	eur	PROPN
ejpam-4765	622	27	.	.	PUNCT
ejpam-4765	623	1	j.	j.	PROPN
ejpam-4765	623	2	pure	pure	PROPN
ejpam-4765	623	3	appl	appl	PROPN
ejpam-4765	623	4	.	.	PROPN
ejpam-4765	623	5	math	math	PROPN
ejpam-4765	623	6	,	,	PUNCT
ejpam-4765	623	7	16	16	NUM
ejpam-4765	623	8	(	(	PUNCT
ejpam-4765	623	9	4	4	NUM
ejpam-4765	623	10	)	)	PUNCT
ejpam-4765	623	11	(	(	PUNCT
ejpam-4765	623	12	2023	2023	NUM
ejpam-4765	623	13	)	)	PUNCT
ejpam-4765	623	14	,	,	PUNCT
ejpam-4765	623	15	2509	2509	NUM
ejpam-4765	623	16	-	-	SYM
ejpam-4765	623	17	2543	2543	NUM
ejpam-4765	623	18	2536	2536	NUM
ejpam-4765	623	19	value	value	NOUN
ejpam-4765	623	20	k∗	k∗	NOUN
ejpam-4765	623	21	that	that	PRON
ejpam-4765	623	22	minimizes	minimize	VERB
ejpam-4765	623	23	1	1	NUM
ejpam-4765	623	24	k	k	NOUN
ejpam-4765	623	25	k∑	k∑	PROPN
ejpam-4765	624	1	j=1	j=1	PROPN
ejpam-4765	624	2	jδ	jδ	PROPN
ejpam-4765	624	3	∣∣∣γ̂•n	∣∣∣γ̂•n	PROPN
ejpam-4765	624	4	,	,	PUNCT
ejpam-4765	624	5	j	j	PROPN
ejpam-4765	624	6	−	−	PROPN
ejpam-4765	624	7	median	median	PROPN
ejpam-4765	624	8	(	(	PUNCT
ejpam-4765	624	9	γ̂•n,1	γ̂•n,1	PROPN
ejpam-4765	624	10	,	,	PUNCT
ejpam-4765	624	11	...	...	PUNCT
ejpam-4765	624	12	,	,	PUNCT
ejpam-4765	624	13	γ̂	γ̂	NUM
ejpam-4765	624	14	•	•	NOUN
ejpam-4765	624	15	n	n	CCONJ
ejpam-4765	624	16	,	,	PUNCT
ejpam-4765	624	17	k	k	NOUN
ejpam-4765	624	18	)	)	PUNCT
ejpam-4765	624	19	∣∣∣	∣∣∣	ADJ
ejpam-4765	624	20	,	,	PUNCT
ejpam-4765	624	21	10	10	NUM
ejpam-4765	624	22	≤	≤	NUM
ejpam-4765	624	23	k	k	PROPN
ejpam-4765	624	24	≤	≤	PROPN
ejpam-4765	624	25	mn	mn	PROPN
ejpam-4765	624	26	,	,	PUNCT
ejpam-4765	624	27	(	(	PUNCT
ejpam-4765	624	28	54	54	NUM
ejpam-4765	624	29	)	)	PUNCT
ejpam-4765	624	30	where	where	SCONJ
ejpam-4765	624	31	0	0	NUM
ejpam-4765	624	32	≤	≤	NUM
ejpam-4765	624	33	δ	δ	PROPN
ejpam-4765	624	34	<	<	X
ejpam-4765	624	35	1/2	1/2	NUM
ejpam-4765	624	36	.	.	PUNCT
ejpam-4765	625	1	by	by	ADP
ejpam-4765	625	2	the	the	DET
ejpam-4765	625	3	way	way	NOUN
ejpam-4765	625	4	,	,	PUNCT
ejpam-4765	625	5	choosing	choose	VERB
ejpam-4765	625	6	δ	δ	X
ejpam-4765	625	7	=	=	SYM
ejpam-4765	625	8	1/4	1/4	NUM
ejpam-4765	625	9	,	,	PUNCT
ejpam-4765	625	10	we	we	PRON
ejpam-4765	625	11	compute	compute	VERB
ejpam-4765	625	12	the	the	DET
ejpam-4765	625	13	optimal	optimal	ADJ
ejpam-4765	625	14	values	value	NOUN
ejpam-4765	625	15	k∗	k∗	VERB
ejpam-4765	625	16	as	as	ADP
ejpam-4765	625	17	in	in	ADP
ejpam-4765	625	18	(	(	PUNCT
ejpam-4765	625	19	54	54	NUM
ejpam-4765	625	20	)	)	PUNCT
ejpam-4765	625	21	for	for	ADP
ejpam-4765	625	22	each	each	DET
ejpam-4765	625	23	tail	tail	NOUN
ejpam-4765	625	24	index	index	NOUN
ejpam-4765	625	25	estimator	estimator	NOUN
ejpam-4765	625	26	used	use	VERB
ejpam-4765	625	27	in	in	ADP
ejpam-4765	625	28	the	the	DET
ejpam-4765	625	29	computation	computation	NOUN
ejpam-4765	625	30	of	of	ADP
ejpam-4765	625	31	their	their	PRON
ejpam-4765	625	32	associated	associated	ADJ
ejpam-4765	625	33	qsr	qsr	NOUN
ejpam-4765	625	34	index	index	NOUN
ejpam-4765	625	35	estimators	estimator	NOUN
ejpam-4765	625	36	.	.	PUNCT
ejpam-4765	626	1	in	in	ADP
ejpam-4765	626	2	the	the	DET
ejpam-4765	626	3	table	table	NOUN
ejpam-4765	626	4	1	1	NUM
ejpam-4765	626	5	,	,	PUNCT
ejpam-4765	626	6	table	table	NOUN
ejpam-4765	626	7	2	2	NUM
ejpam-4765	626	8	and	and	CCONJ
ejpam-4765	626	9	table	table	NOUN
ejpam-4765	626	10	3	3	NUM
ejpam-4765	626	11	,	,	PUNCT
ejpam-4765	626	12	we	we	PRON
ejpam-4765	626	13	present	present	VERB
ejpam-4765	626	14	the	the	DET
ejpam-4765	626	15	results	result	NOUN
ejpam-4765	626	16	of	of	ADP
ejpam-4765	626	17	the	the	DET
ejpam-4765	626	18	estimated	estimate	VERB
ejpam-4765	626	19	values	value	NOUN
ejpam-4765	626	20	of	of	ADP
ejpam-4765	626	21	the	the	DET
ejpam-4765	626	22	above	above	ADV
ejpam-4765	626	23	mentioned	mention	VERB
ejpam-4765	626	24	qsr	qsr	NOUN
ejpam-4765	626	25	index	index	NOUN
ejpam-4765	626	26	estimators	estimator	NOUN
ejpam-4765	626	27	with	with	ADP
ejpam-4765	626	28	respect	respect	NOUN
ejpam-4765	626	29	to	to	ADP
ejpam-4765	626	30	the	the	DET
ejpam-4765	626	31	sample	sample	NOUN
ejpam-4765	626	32	size	size	NOUN
ejpam-4765	626	33	.	.	PUNCT
ejpam-4765	627	1	remarking	remark	VERB
ejpam-4765	627	2	that	that	PRON
ejpam-4765	627	3	from	from	ADP
ejpam-4765	627	4	theorem	theorem	ADJ
ejpam-4765	627	5	1	1	NUM
ejpam-4765	627	6	and	and	CCONJ
ejpam-4765	627	7	theorem	theorem	VERB
ejpam-4765	627	8	2	2	NUM
ejpam-4765	627	9	,	,	PUNCT
ejpam-4765	627	10	the	the	DET
ejpam-4765	627	11	asymptotic	asymptotic	ADJ
ejpam-4765	627	12	variances	variance	NOUN
ejpam-4765	627	13	of	of	ADP
ejpam-4765	627	14	the	the	DET
ejpam-4765	627	15	qsr	qsr	PROPN
ejpam-4765	627	16	index	index	NOUN
ejpam-4765	627	17	estimators	estimator	NOUN
ejpam-4765	627	18	under	under	ADP
ejpam-4765	627	19	study	study	NOUN
ejpam-4765	627	20	depend	depend	VERB
ejpam-4765	627	21	on	on	ADP
ejpam-4765	627	22	unknown	unknown	ADJ
ejpam-4765	627	23	parameters	parameter	NOUN
ejpam-4765	627	24	,	,	PUNCT
ejpam-4765	627	25	we	we	PRON
ejpam-4765	627	26	opt	opt	VERB
ejpam-4765	627	27	to	to	PART
ejpam-4765	627	28	use	use	VERB
ejpam-4765	627	29	a	a	DET
ejpam-4765	627	30	block	block	NOUN
ejpam-4765	627	31	bootstrapping	bootstrappe	VERB
ejpam-4765	627	32	method	method	NOUN
ejpam-4765	627	33	to	to	PART
ejpam-4765	627	34	construct	construct	VERB
ejpam-4765	627	35	a	a	DET
ejpam-4765	627	36	95	95	NUM
ejpam-4765	627	37	%	%	NOUN
ejpam-4765	627	38	confidence	confidence	NOUN
ejpam-4765	627	39	interval	interval	NOUN
ejpam-4765	627	40	for	for	ADP
ejpam-4765	627	41	the	the	DET
ejpam-4765	627	42	qsr	qsr	PROPN
ejpam-4765	627	43	index	index	NOUN
ejpam-4765	627	44	estimates	estimate	NOUN
ejpam-4765	627	45	.	.	PUNCT
ejpam-4765	628	1	the	the	DET
ejpam-4765	628	2	block	block	NOUN
ejpam-4765	628	3	bootstrapping	bootstrapping	NOUN
ejpam-4765	628	4	follows	follow	VERB
ejpam-4765	628	5	the	the	DET
ejpam-4765	628	6	routine	routine	ADJ
ejpam-4765	628	7	boot	boot	NOUN
ejpam-4765	628	8	of	of	ADP
ejpam-4765	628	9	the	the	DET
ejpam-4765	628	10	package	package	NOUN
ejpam-4765	628	11	boot	boot	NOUN
ejpam-4765	628	12	in	in	ADP
ejpam-4765	628	13	r	r	NOUN
ejpam-4765	628	14	software	software	NOUN
ejpam-4765	628	15	.	.	PUNCT
ejpam-4765	629	1	by	by	ADP
ejpam-4765	629	2	repeating	repeat	VERB
ejpam-4765	629	3	such	such	ADJ
ejpam-4765	629	4	bootstrapping	bootstrappe	VERB
ejpam-4765	629	5	procedure	procedure	NOUN
ejpam-4765	629	6	t	t	NOUN
ejpam-4765	629	7	=	=	SYM
ejpam-4765	629	8	10	10	NUM
ejpam-4765	629	9	,	,	PUNCT
ejpam-4765	629	10	000	000	NUM
ejpam-4765	629	11	times	time	NOUN
ejpam-4765	629	12	,	,	PUNCT
ejpam-4765	629	13	we	we	PRON
ejpam-4765	629	14	obtain	obtain	VERB
ejpam-4765	629	15	t	t	NOUN
ejpam-4765	629	16	bootstrapped	bootstrappe	VERB
ejpam-4765	629	17	estimates	estimate	NOUN
ejpam-4765	629	18	for	for	ADP
ejpam-4765	629	19	each	each	DET
ejpam-4765	629	20	qsr	qsr	PROPN
ejpam-4765	629	21	index	index	NOUN
ejpam-4765	629	22	estimator	estimator	NOUN
ejpam-4765	629	23	.	.	PUNCT
ejpam-4765	630	1	the	the	DET
ejpam-4765	630	2	sample	sample	NOUN
ejpam-4765	630	3	standard	standard	ADJ
ejpam-4765	630	4	deviation	deviation	NOUN
ejpam-4765	630	5	across	across	ADP
ejpam-4765	630	6	the	the	DET
ejpam-4765	630	7	t	t	NOUN
ejpam-4765	630	8	estimates	estimate	NOUN
ejpam-4765	630	9	gives	give	VERB
ejpam-4765	630	10	an	an	DET
ejpam-4765	630	11	estimate	estimate	NOUN
ejpam-4765	630	12	of	of	ADP
ejpam-4765	630	13	the	the	DET
ejpam-4765	630	14	standard	standard	ADJ
ejpam-4765	630	15	deviation	deviation	NOUN
ejpam-4765	630	16	of	of	ADP
ejpam-4765	630	17	the	the	DET
ejpam-4765	630	18	underlying	underlying	ADJ
ejpam-4765	630	19	qsr	qsr	ADJ
ejpam-4765	630	20	index	index	NOUN
ejpam-4765	630	21	estimators	estimator	NOUN
ejpam-4765	630	22	for	for	ADP
ejpam-4765	630	23	given	give	VERB
ejpam-4765	630	24	k	k	PROPN
ejpam-4765	630	25	∈	∈	PROPN
ejpam-4765	630	26	{	{	PUNCT
ejpam-4765	630	27	10	10	NUM
ejpam-4765	630	28	,	,	PUNCT
ejpam-4765	630	29	...	...	PUNCT
ejpam-4765	630	30	,	,	PUNCT
ejpam-4765	630	31	mn	mn	PROPN
ejpam-4765	630	32	}	}	PUNCT
ejpam-4765	630	33	.	.	PUNCT
ejpam-4765	631	1	we	we	PRON
ejpam-4765	631	2	construct	construct	VERB
ejpam-4765	631	3	the	the	DET
ejpam-4765	631	4	95	95	NUM
ejpam-4765	631	5	%	%	NOUN
ejpam-4765	631	6	confidence	confidence	NOUN
ejpam-4765	631	7	interval	interval	NOUN
ejpam-4765	631	8	using	use	VERB
ejpam-4765	631	9	the	the	DET
ejpam-4765	631	10	point	point	NOUN
ejpam-4765	631	11	estimate	estimate	NOUN
ejpam-4765	631	12	and	and	CCONJ
ejpam-4765	631	13	the	the	DET
ejpam-4765	631	14	estimated	estimate	VERB
ejpam-4765	631	15	standard	standard	ADJ
ejpam-4765	631	16	deviation	deviation	NOUN
ejpam-4765	631	17	.	.	PUNCT
ejpam-4765	632	1	this	this	DET
ejpam-4765	632	2	procedure	procedure	NOUN
ejpam-4765	632	3	is	be	AUX
ejpam-4765	632	4	applied	apply	VERB
ejpam-4765	632	5	to	to	ADP
ejpam-4765	632	6	all	all	DET
ejpam-4765	632	7	values	value	NOUN
ejpam-4765	632	8	of	of	ADP
ejpam-4765	632	9	k	k	PROPN
ejpam-4765	632	10	of	of	ADP
ejpam-4765	632	11	each	each	DET
ejpam-4765	632	12	estimator	estimator	NOUN
ejpam-4765	632	13	.	.	PUNCT
ejpam-4765	633	1	the	the	DET
ejpam-4765	633	2	point	point	NOUN
ejpam-4765	633	3	estimates	estimate	NOUN
ejpam-4765	633	4	of	of	ADP
ejpam-4765	633	5	qsr	qsr	ADJ
ejpam-4765	633	6	index	index	NOUN
ejpam-4765	633	7	at	at	ADP
ejpam-4765	633	8	its	its	PRON
ejpam-4765	633	9	optimal	optimal	ADJ
ejpam-4765	633	10	value	value	NOUN
ejpam-4765	633	11	k∗	k∗	NOUN
ejpam-4765	633	12	as	as	ADV
ejpam-4765	633	13	well	well	ADV
ejpam-4765	633	14	as	as	ADP
ejpam-4765	633	15	the	the	DET
ejpam-4765	633	16	lower	low	ADJ
ejpam-4765	633	17	and	and	CCONJ
ejpam-4765	633	18	upper	upper	ADJ
ejpam-4765	633	19	bounds	bound	NOUN
ejpam-4765	633	20	of	of	ADP
ejpam-4765	633	21	the	the	DET
ejpam-4765	633	22	confidence	confidence	NOUN
ejpam-4765	633	23	intervals	interval	NOUN
ejpam-4765	633	24	are	be	AUX
ejpam-4765	633	25	given	give	VERB
ejpam-4765	633	26	in	in	ADP
ejpam-4765	633	27	table	table	NOUN
ejpam-4765	633	28	1	1	NUM
ejpam-4765	633	29	,	,	PUNCT
ejpam-4765	633	30	table	table	NOUN
ejpam-4765	633	31	2	2	NUM
ejpam-4765	633	32	and	and	CCONJ
ejpam-4765	633	33	table	table	NOUN
ejpam-4765	633	34	3	3	NUM
ejpam-4765	633	35	.	.	PUNCT
ejpam-4765	633	36	based	base	VERB
ejpam-4765	633	37	on	on	ADP
ejpam-4765	633	38	these	these	DET
ejpam-4765	633	39	simulations	simulation	NOUN
ejpam-4765	633	40	,	,	PUNCT
ejpam-4765	633	41	we	we	PRON
ejpam-4765	633	42	can	can	AUX
ejpam-4765	633	43	draw	draw	VERB
ejpam-4765	633	44	the	the	DET
ejpam-4765	633	45	following	following	ADJ
ejpam-4765	633	46	conclusions	conclusion	NOUN
ejpam-4765	633	47	:	:	PUNCT
ejpam-4765	633	48	•	•	NUM
ejpam-4765	633	49	it	it	PRON
ejpam-4765	633	50	appears	appear	VERB
ejpam-4765	633	51	on	on	ADP
ejpam-4765	633	52	figure	figure	NOUN
ejpam-4765	633	53	2	2	NUM
ejpam-4765	633	54	that	that	SCONJ
ejpam-4765	633	55	the	the	DET
ejpam-4765	633	56	closer	close	ADJ
ejpam-4765	633	57	ρ	ρ	NOUN
ejpam-4765	633	58	is	be	AUX
ejpam-4765	633	59	to	to	ADP
ejpam-4765	633	60	0	0	NUM
ejpam-4765	633	61	,	,	PUNCT
ejpam-4765	633	62	the	the	DET
ejpam-4765	633	63	more	more	ADV
ejpam-4765	633	64	important	important	ADJ
ejpam-4765	633	65	is	be	AUX
ejpam-4765	633	66	the	the	DET
ejpam-4765	633	67	bias	bias	NOUN
ejpam-4765	633	68	of	of	ADP
ejpam-4765	633	69	η̃	η̃	PROPN
ejpam-4765	633	70	(	(	PUNCT
ejpam-4765	633	71	k	k	PROPN
ejpam-4765	633	72	∆̂∗	∆̂∗	PROPN
ejpam-4765	633	73	opt	opt	PROPN
ejpam-4765	633	74	)	)	PUNCT
ejpam-4765	633	75	n	n	CCONJ
ejpam-4765	633	76	,	,	PUNCT
ejpam-4765	633	77	k	k	PROPN
ejpam-4765	633	78	,	,	PUNCT
ejpam-4765	633	79	ρ̂	ρ̂	NUM
ejpam-4765	633	80	(	(	PUNCT
ejpam-4765	633	81	0.2	0.2	NUM
ejpam-4765	633	82	,	,	PUNCT
ejpam-4765	633	83	0.8	0.8	NUM
ejpam-4765	633	84	)	)	PUNCT
ejpam-4765	633	85	with	with	ADP
ejpam-4765	633	86	a	a	DET
ejpam-4765	633	87	longer	long	ADJ
ejpam-4765	633	88	stability	stability	NOUN
ejpam-4765	633	89	as	as	ADP
ejpam-4765	633	90	a	a	DET
ejpam-4765	633	91	function	function	NOUN
ejpam-4765	633	92	of	of	ADP
ejpam-4765	633	93	k.	k.	NOUN
ejpam-4765	633	94	the	the	DET
ejpam-4765	633	95	bias	bias	NOUN
ejpam-4765	633	96	is	be	AUX
ejpam-4765	633	97	also	also	ADV
ejpam-4765	633	98	less	less	ADV
ejpam-4765	633	99	variable	variable	ADJ
ejpam-4765	633	100	than	than	ADP
ejpam-4765	633	101	the	the	DET
ejpam-4765	633	102	two	two	NUM
ejpam-4765	633	103	others	other	NOUN
ejpam-4765	633	104	for	for	ADP
ejpam-4765	633	105	the	the	DET
ejpam-4765	633	106	lowest	low	ADJ
ejpam-4765	633	107	values	value	NOUN
ejpam-4765	633	108	of	of	ADP
ejpam-4765	633	109	k.	k.	PROPN
ejpam-4765	633	110	also	also	ADV
ejpam-4765	633	111	,	,	PUNCT
ejpam-4765	633	112	the	the	DET
ejpam-4765	633	113	effect	effect	NOUN
ejpam-4765	633	114	of	of	ADP
ejpam-4765	633	115	the	the	DET
ejpam-4765	633	116	bias	bias	NOUN
ejpam-4765	633	117	correction	correction	NOUN
ejpam-4765	633	118	on	on	ADP
ejpam-4765	633	119	the	the	DET
ejpam-4765	633	120	mse	mse	NOUN
ejpam-4765	633	121	is	be	AUX
ejpam-4765	633	122	well	well	ADV
ejpam-4765	633	123	illustrated	illustrate	VERB
ejpam-4765	633	124	on	on	ADP
ejpam-4765	633	125	figure	figure	NOUN
ejpam-4765	633	126	2	2	NUM
ejpam-4765	633	127	.	.	PUNCT
ejpam-4765	634	1	we	we	PRON
ejpam-4765	634	2	can	can	AUX
ejpam-4765	634	3	observe	observe	VERB
ejpam-4765	634	4	that	that	SCONJ
ejpam-4765	634	5	the	the	DET
ejpam-4765	634	6	mse	mse	NOUN
ejpam-4765	634	7	of	of	ADP
ejpam-4765	634	8	the	the	DET
ejpam-4765	634	9	reduced	reduce	VERB
ejpam-4765	634	10	-	-	PUNCT
ejpam-4765	634	11	bias	bias	NOUN
ejpam-4765	634	12	estimator	estimator	NOUN
ejpam-4765	634	13	η̃	η̃	PROPN
ejpam-4765	634	14	(	(	PUNCT
ejpam-4765	634	15	k	k	PROPN
ejpam-4765	634	16	∆̂∗	∆̂∗	PROPN
ejpam-4765	634	17	opt	opt	PROPN
ejpam-4765	634	18	)	)	PUNCT
ejpam-4765	634	19	n	n	CCONJ
ejpam-4765	634	20	,	,	PUNCT
ejpam-4765	634	21	k	k	PROPN
ejpam-4765	634	22	,	,	PUNCT
ejpam-4765	634	23	ρ̂	ρ̂	NUM
ejpam-4765	634	24	(	(	PUNCT
ejpam-4765	634	25	0.2	0.2	NUM
ejpam-4765	634	26	,	,	PUNCT
ejpam-4765	634	27	0.8	0.8	NUM
ejpam-4765	634	28	)	)	PUNCT
ejpam-4765	634	29	is	be	AUX
ejpam-4765	634	30	almost	almost	ADV
ejpam-4765	634	31	constant	constant	ADJ
ejpam-4765	634	32	with	with	ADP
ejpam-4765	634	33	respect	respect	NOUN
ejpam-4765	634	34	to	to	ADP
ejpam-4765	634	35	k	k	NOUN
ejpam-4765	634	36	,	,	PUNCT
ejpam-4765	634	37	especially	especially	ADV
ejpam-4765	634	38	when	when	SCONJ
ejpam-4765	634	39	bias	bias	NOUN
ejpam-4765	634	40	of	of	ADP
ejpam-4765	634	41	η̂	η̂	PROPN
ejpam-4765	634	42	(	(	PUNCT
ejpam-4765	634	43	k	k	NOUN
ejpam-4765	634	44	)	)	PUNCT
ejpam-4765	634	45	n	n	CCONJ
ejpam-4765	634	46	,	,	PUNCT
ejpam-4765	634	47	k	k	X
ejpam-4765	634	48	(	(	PUNCT
ejpam-4765	634	49	0.2	0.2	NUM
ejpam-4765	634	50	,	,	PUNCT
ejpam-4765	634	51	0.8	0.8	NUM
ejpam-4765	634	52	)	)	PUNCT
ejpam-4765	634	53	and	and	CCONJ
ejpam-4765	634	54	η̂	η̂	PROPN
ejpam-4765	634	55	(	(	PUNCT
ejpam-4765	634	56	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	634	57	)	)	PUNCT
ejpam-4765	634	58	n	n	CCONJ
ejpam-4765	634	59	,	,	PUNCT
ejpam-4765	634	60	k	k	X
ejpam-4765	634	61	(	(	PUNCT
ejpam-4765	634	62	0.2	0.2	NUM
ejpam-4765	634	63	,	,	PUNCT
ejpam-4765	634	64	0.8	0.8	NUM
ejpam-4765	634	65	)	)	PUNCT
ejpam-4765	634	66	are	be	AUX
ejpam-4765	634	67	strong	strong	ADJ
ejpam-4765	634	68	,	,	PUNCT
ejpam-4765	634	69	i.e	i.e	X
ejpam-4765	634	70	,	,	PUNCT
ejpam-4765	634	71	when	when	SCONJ
ejpam-4765	634	72	ρ	ρ	PROPN
ejpam-4765	634	73	is	be	AUX
ejpam-4765	634	74	close	close	ADJ
ejpam-4765	634	75	to	to	ADP
ejpam-4765	634	76	0	0	NUM
ejpam-4765	634	77	.	.	NOUN
ejpam-4765	634	78	•	•	NOUN
ejpam-4765	634	79	after	after	ADP
ejpam-4765	634	80	the	the	DET
ejpam-4765	634	81	inspection	inspection	NOUN
ejpam-4765	634	82	of	of	ADP
ejpam-4765	634	83	the	the	DET
ejpam-4765	634	84	tables	table	NOUN
ejpam-4765	634	85	,	,	PUNCT
ejpam-4765	634	86	two	two	NUM
ejpam-4765	634	87	conclusions	conclusion	NOUN
ejpam-4765	634	88	can	can	AUX
ejpam-4765	634	89	be	be	AUX
ejpam-4765	634	90	drawn	draw	VERB
ejpam-4765	634	91	regardless	regardless	ADV
ejpam-4765	634	92	of	of	ADP
ejpam-4765	634	93	the	the	DET
ejpam-4765	634	94	situation	situation	NOUN
ejpam-4765	634	95	.	.	PUNCT
ejpam-4765	635	1	first	first	ADV
ejpam-4765	635	2	,	,	PUNCT
ejpam-4765	635	3	we	we	PRON
ejpam-4765	635	4	notice	notice	VERB
ejpam-4765	635	5	that	that	SCONJ
ejpam-4765	635	6	the	the	DET
ejpam-4765	635	7	absolute	absolute	ADJ
ejpam-4765	635	8	bias	bias	NOUN
ejpam-4765	635	9	of	of	ADP
ejpam-4765	635	10	both	both	DET
ejpam-4765	635	11	estimators	estimator	NOUN
ejpam-4765	635	12	increases	increase	NOUN
ejpam-4765	635	13	as	as	SCONJ
ejpam-4765	635	14	ρ	ρ	PROPN
ejpam-4765	635	15	goes	go	VERB
ejpam-4765	635	16	to	to	ADP
ejpam-4765	635	17	0	0	NUM
ejpam-4765	635	18	.	.	PUNCT
ejpam-4765	636	1	second	second	ADJ
ejpam-4765	636	2	,	,	PUNCT
ejpam-4765	636	3	the	the	DET
ejpam-4765	636	4	reduced	reduce	VERB
ejpam-4765	636	5	bias	bias	NOUN
ejpam-4765	636	6	estimator	estimator	NOUN
ejpam-4765	636	7	is	be	AUX
ejpam-4765	636	8	more	more	ADV
ejpam-4765	636	9	efficient	efficient	ADJ
ejpam-4765	636	10	than	than	ADP
ejpam-4765	636	11	the	the	DET
ejpam-4765	636	12	biased	biased	ADJ
ejpam-4765	636	13	estimators	estimator	NOUN
ejpam-4765	636	14	regardless	regardless	ADV
ejpam-4765	636	15	to	to	ADP
ejpam-4765	636	16	the	the	DET
ejpam-4765	636	17	absolute	absolute	ADJ
ejpam-4765	636	18	bias	bias	NOUN
ejpam-4765	636	19	,	,	PUNCT
ejpam-4765	636	20	the	the	DET
ejpam-4765	636	21	median	median	NOUN
ejpam-4765	636	22	squared	square	VERB
ejpam-4765	636	23	errors	error	NOUN
ejpam-4765	636	24	and	and	CCONJ
ejpam-4765	636	25	the	the	DET
ejpam-4765	636	26	cover	cover	NOUN
ejpam-4765	636	27	values	value	NOUN
ejpam-4765	636	28	when	when	SCONJ
ejpam-4765	636	29	ρ	ρ	PROPN
ejpam-4765	636	30	is	be	AUX
ejpam-4765	636	31	closer	close	ADJ
ejpam-4765	636	32	to	to	ADP
ejpam-4765	636	33	0	0	NUM
ejpam-4765	636	34	.	.	PUNCT
ejpam-4765	637	1	that	that	PRON
ejpam-4765	637	2	illustrates	illustrate	VERB
ejpam-4765	637	3	well	well	INTJ
ejpam-4765	637	4	our	our	PRON
ejpam-4765	637	5	conclusions	conclusion	NOUN
ejpam-4765	637	6	drawn	draw	VERB
ejpam-4765	637	7	from	from	ADP
ejpam-4765	637	8	the	the	DET
ejpam-4765	637	9	graphical	graphical	ADJ
ejpam-4765	637	10	analysis	analysis	NOUN
ejpam-4765	637	11	.	.	PUNCT
ejpam-4765	638	1	m.	m.	NOUN
ejpam-4765	638	2	kebe	kebe	PROPN
ejpam-4765	638	3	et	et	PROPN
ejpam-4765	638	4	al	al	PROPN
ejpam-4765	638	5	.	.	PUNCT
ejpam-4765	638	6	/	/	SYM
ejpam-4765	638	7	eur	eur	PROPN
ejpam-4765	638	8	.	.	PUNCT
ejpam-4765	639	1	j.	j.	PROPN
ejpam-4765	639	2	pure	pure	PROPN
ejpam-4765	639	3	appl	appl	PROPN
ejpam-4765	639	4	.	.	PROPN
ejpam-4765	639	5	math	math	PROPN
ejpam-4765	639	6	,	,	PUNCT
ejpam-4765	639	7	16	16	NUM
ejpam-4765	639	8	(	(	PUNCT
ejpam-4765	639	9	4	4	NUM
ejpam-4765	639	10	)	)	PUNCT
ejpam-4765	639	11	(	(	PUNCT
ejpam-4765	639	12	2023	2023	NUM
ejpam-4765	639	13	)	)	PUNCT
ejpam-4765	639	14	,	,	PUNCT
ejpam-4765	639	15	2509	2509	NUM
ejpam-4765	639	16	-	-	SYM
ejpam-4765	639	17	2543	2543	NUM
ejpam-4765	639	18	2537	2537	NUM
ejpam-4765	639	19	figure	figure	NOUN
ejpam-4765	639	20	1	1	NUM
ejpam-4765	639	21	:	:	PUNCT
ejpam-4765	639	22	absolute	absolute	ADJ
ejpam-4765	639	23	bias	bias	NOUN
ejpam-4765	639	24	of	of	ADP
ejpam-4765	639	25	the	the	DET
ejpam-4765	639	26	median	median	NOUN
ejpam-4765	639	27	of	of	ADP
ejpam-4765	639	28	η̂	η̂	PROPN
ejpam-4765	639	29	(	(	PUNCT
ejpam-4765	639	30	k	k	NOUN
ejpam-4765	639	31	)	)	PUNCT
ejpam-4765	639	32	n	n	CCONJ
ejpam-4765	639	33	,	,	PUNCT
ejpam-4765	639	34	k	k	X
ejpam-4765	639	35	(	(	PUNCT
ejpam-4765	639	36	0.2	0.2	NUM
ejpam-4765	639	37	,	,	PUNCT
ejpam-4765	639	38	0.8	0.8	NUM
ejpam-4765	639	39	)	)	PUNCT
ejpam-4765	639	40	(	(	PUNCT
ejpam-4765	639	41	black	black	ADJ
ejpam-4765	639	42	line	line	NOUN
ejpam-4765	639	43	)	)	PUNCT
ejpam-4765	639	44	,	,	PUNCT
ejpam-4765	639	45	η̂	η̂	PROPN
ejpam-4765	639	46	(	(	PUNCT
ejpam-4765	639	47	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	639	48	)	)	PUNCT
ejpam-4765	639	49	n	n	CCONJ
ejpam-4765	639	50	,	,	PUNCT
ejpam-4765	639	51	k	k	X
ejpam-4765	639	52	(	(	PUNCT
ejpam-4765	639	53	0.2	0.2	NUM
ejpam-4765	639	54	,	,	PUNCT
ejpam-4765	639	55	0.8	0.8	NUM
ejpam-4765	639	56	)	)	PUNCT
ejpam-4765	639	57	(	(	PUNCT
ejpam-4765	639	58	blue	blue	ADJ
ejpam-4765	639	59	line	line	NOUN
ejpam-4765	639	60	)	)	PUNCT
ejpam-4765	639	61	and	and	CCONJ
ejpam-4765	639	62	η̃	η̃	PROPN
ejpam-4765	639	63	(	(	PUNCT
ejpam-4765	639	64	k	k	PROPN
ejpam-4765	639	65	∆̂∗	∆̂∗	PROPN
ejpam-4765	639	66	opt	opt	PROPN
ejpam-4765	639	67	)	)	PUNCT
ejpam-4765	639	68	n	n	CCONJ
ejpam-4765	639	69	,	,	PUNCT
ejpam-4765	639	70	k	k	PROPN
ejpam-4765	639	71	,	,	PUNCT
ejpam-4765	639	72	ρ̂	ρ̂	NUM
ejpam-4765	639	73	(	(	PUNCT
ejpam-4765	639	74	0.2	0.2	NUM
ejpam-4765	639	75	,	,	PUNCT
ejpam-4765	639	76	0.8	0.8	NUM
ejpam-4765	639	77	)	)	PUNCT
ejpam-4765	639	78	(	(	PUNCT
ejpam-4765	639	79	red	red	ADJ
ejpam-4765	639	80	line	line	NOUN
ejpam-4765	639	81	)	)	PUNCT
ejpam-4765	639	82	as	as	ADP
ejpam-4765	639	83	a	a	DET
ejpam-4765	639	84	function	function	NOUN
ejpam-4765	639	85	of	of	ADP
ejpam-4765	639	86	k	k	PROPN
ejpam-4765	639	87	based	base	VERB
ejpam-4765	639	88	on	on	ADP
ejpam-4765	639	89	n	n	NOUN
ejpam-4765	639	90	=	=	SYM
ejpam-4765	639	91	500	500	NUM
ejpam-4765	639	92	samples	sample	NOUN
ejpam-4765	639	93	of	of	ADP
ejpam-4765	639	94	size	size	NOUN
ejpam-4765	639	95	1000	1000	NUM
ejpam-4765	639	96	(	(	PUNCT
ejpam-4765	639	97	top	top	NOUN
ejpam-4765	639	98	)	)	PUNCT
ejpam-4765	639	99	,	,	PUNCT
ejpam-4765	639	100	1500	1500	NUM
ejpam-4765	639	101	(	(	PUNCT
ejpam-4765	639	102	middle	middle	ADJ
ejpam-4765	639	103	)	)	PUNCT
ejpam-4765	639	104	and	and	CCONJ
ejpam-4765	639	105	2000	2000	NUM
ejpam-4765	639	106	(	(	PUNCT
ejpam-4765	639	107	down	down	ADV
ejpam-4765	639	108	)	)	PUNCT
ejpam-4765	639	109	for	for	ADP
ejpam-4765	639	110	qsr	qsr	NOUN
ejpam-4765	639	111	index	index	NOUN
ejpam-4765	639	112	η(q	η(q	NOUN
ejpam-4765	639	113	,	,	PUNCT
ejpam-4765	639	114	0.2	0.2	NUM
ejpam-4765	639	115	,	,	PUNCT
ejpam-4765	639	116	0.8	0.8	NUM
ejpam-4765	639	117	)	)	PUNCT
ejpam-4765	639	118	from	from	ADP
ejpam-4765	639	119	a	a	DET
ejpam-4765	639	120	burr	burr	NOUN
ejpam-4765	639	121	distribution	distribution	NOUN
ejpam-4765	639	122	defined	define	VERB
ejpam-4765	639	123	as	as	ADP
ejpam-4765	639	124	f	f	PROPN
ejpam-4765	639	125	(	(	PUNCT
ejpam-4765	639	126	x	x	NOUN
ejpam-4765	639	127	)	)	PUNCT
ejpam-4765	639	128	=	=	SYM
ejpam-4765	639	129	(	(	PUNCT
ejpam-4765	639	130	1	1	NUM
ejpam-4765	639	131	+	+	NUM
ejpam-4765	639	132	x−	x−	PROPN
ejpam-4765	639	133	3ρ	3ρ	NUM
ejpam-4765	639	134	2	2	NUM
ejpam-4765	639	135	)	)	PUNCT
ejpam-4765	639	136	1	1	NUM
ejpam-4765	639	137	/	/	SYM
ejpam-4765	639	138	ρ	ρ	NOUN
ejpam-4765	639	139	.	.	PUNCT
ejpam-4765	640	1	from	from	ADP
ejpam-4765	640	2	the	the	DET
ejpam-4765	640	3	left	left	NOUN
ejpam-4765	640	4	to	to	ADP
ejpam-4765	640	5	the	the	DET
ejpam-4765	640	6	right	right	NOUN
ejpam-4765	640	7	:	:	PUNCT
ejpam-4765	640	8	(	(	PUNCT
ejpam-4765	640	9	ρ	ρ	NOUN
ejpam-4765	640	10	=	=	SYM
ejpam-4765	640	11	−0.5	−0.5	PROPN
ejpam-4765	640	12	,	,	PUNCT
ejpam-4765	640	13	η(q	η(q	NOUN
ejpam-4765	640	14	,	,	PUNCT
ejpam-4765	640	15	0.2	0.2	NUM
ejpam-4765	640	16	,	,	PUNCT
ejpam-4765	640	17	0.8	0.8	NUM
ejpam-4765	640	18	)	)	PUNCT
ejpam-4765	640	19	=	=	NOUN
ejpam-4765	641	1	292.93	292.93	NUM
ejpam-4765	641	2	)	)	PUNCT
ejpam-4765	641	3	,	,	PUNCT
ejpam-4765	641	4	(	(	PUNCT
ejpam-4765	641	5	ρ	ρ	NOUN
ejpam-4765	641	6	=	=	SYM
ejpam-4765	641	7	−0.75	−0.75	ADJ
ejpam-4765	641	8	,	,	PUNCT
ejpam-4765	641	9	η(q	η(q	NOUN
ejpam-4765	641	10	,	,	PUNCT
ejpam-4765	641	11	0.2	0.2	NUM
ejpam-4765	641	12	,	,	PUNCT
ejpam-4765	641	13	0.8	0.8	NUM
ejpam-4765	641	14	)	)	PUNCT
ejpam-4765	641	15	=	=	SYM
ejpam-4765	641	16	73.47	73.47	NUM
ejpam-4765	641	17	)	)	PUNCT
ejpam-4765	641	18	and	and	CCONJ
ejpam-4765	641	19	(	(	PUNCT
ejpam-4765	641	20	ρ	ρ	NOUN
ejpam-4765	641	21	=	=	SYM
ejpam-4765	641	22	−1	−1	NOUN
ejpam-4765	641	23	,	,	PUNCT
ejpam-4765	641	24	η(q,0.2	η(q,0.2	NOUN
ejpam-4765	641	25	,	,	PUNCT
ejpam-4765	641	26	0.8	0.8	NUM
ejpam-4765	641	27	)	)	PUNCT
ejpam-4765	641	28	=	=	PUNCT
ejpam-4765	642	1	37.70	37.70	NUM
ejpam-4765	642	2	)	)	PUNCT
ejpam-4765	642	3	.	.	PUNCT
ejpam-4765	643	1	m.	m.	NOUN
ejpam-4765	643	2	kebe	kebe	PROPN
ejpam-4765	643	3	et	et	PROPN
ejpam-4765	643	4	al	al	PROPN
ejpam-4765	643	5	.	.	PUNCT
ejpam-4765	643	6	/	/	SYM
ejpam-4765	643	7	eur	eur	PROPN
ejpam-4765	643	8	.	.	PUNCT
ejpam-4765	644	1	j.	j.	PROPN
ejpam-4765	644	2	pure	pure	PROPN
ejpam-4765	644	3	appl	appl	PROPN
ejpam-4765	644	4	.	.	PROPN
ejpam-4765	644	5	math	math	PROPN
ejpam-4765	644	6	,	,	PUNCT
ejpam-4765	644	7	16	16	NUM
ejpam-4765	644	8	(	(	PUNCT
ejpam-4765	644	9	4	4	NUM
ejpam-4765	644	10	)	)	PUNCT
ejpam-4765	644	11	(	(	PUNCT
ejpam-4765	644	12	2023	2023	NUM
ejpam-4765	644	13	)	)	PUNCT
ejpam-4765	644	14	,	,	PUNCT
ejpam-4765	644	15	2509	2509	NUM
ejpam-4765	644	16	-	-	SYM
ejpam-4765	644	17	2543	2543	NUM
ejpam-4765	644	18	2538	2538	NUM
ejpam-4765	644	19	figure	figure	NOUN
ejpam-4765	644	20	2	2	NUM
ejpam-4765	644	21	:	:	PUNCT
ejpam-4765	644	22	median	median	ADJ
ejpam-4765	644	23	squared	square	VERB
ejpam-4765	644	24	errors	error	NOUN
ejpam-4765	644	25	(	(	PUNCT
ejpam-4765	644	26	mse	mse	NOUN
ejpam-4765	644	27	)	)	PUNCT
ejpam-4765	644	28	of	of	ADP
ejpam-4765	644	29	η̂	η̂	PROPN
ejpam-4765	644	30	(	(	PUNCT
ejpam-4765	644	31	k	k	NOUN
ejpam-4765	644	32	)	)	PUNCT
ejpam-4765	644	33	n	n	CCONJ
ejpam-4765	644	34	,	,	PUNCT
ejpam-4765	644	35	k	k	X
ejpam-4765	644	36	(	(	PUNCT
ejpam-4765	644	37	0.2	0.2	NUM
ejpam-4765	644	38	,	,	PUNCT
ejpam-4765	644	39	0.8	0.8	NUM
ejpam-4765	644	40	)	)	PUNCT
ejpam-4765	644	41	(	(	PUNCT
ejpam-4765	644	42	black	black	ADJ
ejpam-4765	644	43	line	line	NOUN
ejpam-4765	644	44	)	)	PUNCT
ejpam-4765	644	45	,	,	PUNCT
ejpam-4765	644	46	η̂	η̂	PROPN
ejpam-4765	644	47	(	(	PUNCT
ejpam-4765	644	48	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	644	49	)	)	PUNCT
ejpam-4765	644	50	n	n	CCONJ
ejpam-4765	644	51	,	,	PUNCT
ejpam-4765	644	52	k	k	X
ejpam-4765	644	53	(	(	PUNCT
ejpam-4765	644	54	0.2	0.2	NUM
ejpam-4765	644	55	,	,	PUNCT
ejpam-4765	644	56	0.8	0.8	NUM
ejpam-4765	644	57	)	)	PUNCT
ejpam-4765	644	58	(	(	PUNCT
ejpam-4765	644	59	blue	blue	ADJ
ejpam-4765	644	60	line	line	NOUN
ejpam-4765	644	61	)	)	PUNCT
ejpam-4765	644	62	and	and	CCONJ
ejpam-4765	644	63	η̃	η̃	PROPN
ejpam-4765	644	64	(	(	PUNCT
ejpam-4765	644	65	k	k	PROPN
ejpam-4765	644	66	∆̂∗	∆̂∗	PROPN
ejpam-4765	644	67	opt	opt	PROPN
ejpam-4765	644	68	)	)	PUNCT
ejpam-4765	644	69	n	n	CCONJ
ejpam-4765	644	70	,	,	PUNCT
ejpam-4765	644	71	k	k	PROPN
ejpam-4765	644	72	,	,	PUNCT
ejpam-4765	644	73	ρ̂	ρ̂	NUM
ejpam-4765	644	74	(	(	PUNCT
ejpam-4765	644	75	0.2	0.2	NUM
ejpam-4765	644	76	,	,	PUNCT
ejpam-4765	644	77	0.8	0.8	NUM
ejpam-4765	644	78	)	)	PUNCT
ejpam-4765	644	79	(	(	PUNCT
ejpam-4765	644	80	red	red	ADJ
ejpam-4765	644	81	line	line	NOUN
ejpam-4765	644	82	)	)	PUNCT
ejpam-4765	644	83	as	as	ADP
ejpam-4765	644	84	a	a	DET
ejpam-4765	644	85	function	function	NOUN
ejpam-4765	644	86	of	of	ADP
ejpam-4765	644	87	k	k	PROPN
ejpam-4765	644	88	based	base	VERB
ejpam-4765	644	89	on	on	ADP
ejpam-4765	644	90	n	n	NOUN
ejpam-4765	644	91	=	=	SYM
ejpam-4765	644	92	500	500	NUM
ejpam-4765	644	93	samples	sample	NOUN
ejpam-4765	644	94	of	of	ADP
ejpam-4765	644	95	size	size	NOUN
ejpam-4765	644	96	1000	1000	NUM
ejpam-4765	644	97	(	(	PUNCT
ejpam-4765	644	98	top	top	NOUN
ejpam-4765	644	99	)	)	PUNCT
ejpam-4765	644	100	,	,	PUNCT
ejpam-4765	644	101	1500	1500	NUM
ejpam-4765	644	102	(	(	PUNCT
ejpam-4765	644	103	middle	middle	ADJ
ejpam-4765	644	104	)	)	PUNCT
ejpam-4765	644	105	and	and	CCONJ
ejpam-4765	644	106	2000	2000	NUM
ejpam-4765	644	107	(	(	PUNCT
ejpam-4765	644	108	down	down	ADV
ejpam-4765	644	109	)	)	PUNCT
ejpam-4765	644	110	for	for	ADP
ejpam-4765	644	111	qsr	qsr	NOUN
ejpam-4765	644	112	index	index	NOUN
ejpam-4765	644	113	η(q	η(q	NOUN
ejpam-4765	644	114	,	,	PUNCT
ejpam-4765	644	115	0.2	0.2	NUM
ejpam-4765	644	116	,	,	PUNCT
ejpam-4765	644	117	0.8	0.8	NUM
ejpam-4765	644	118	)	)	PUNCT
ejpam-4765	644	119	from	from	ADP
ejpam-4765	644	120	a	a	DET
ejpam-4765	644	121	burr	burr	NOUN
ejpam-4765	644	122	distribution	distribution	NOUN
ejpam-4765	644	123	defined	define	VERB
ejpam-4765	644	124	as	as	ADP
ejpam-4765	644	125	f	f	PROPN
ejpam-4765	644	126	(	(	PUNCT
ejpam-4765	644	127	x	x	NOUN
ejpam-4765	644	128	)	)	PUNCT
ejpam-4765	644	129	=	=	SYM
ejpam-4765	644	130	(	(	PUNCT
ejpam-4765	644	131	1	1	NUM
ejpam-4765	644	132	+	+	NUM
ejpam-4765	644	133	x−	x−	PROPN
ejpam-4765	644	134	3ρ	3ρ	NUM
ejpam-4765	644	135	2	2	NUM
ejpam-4765	644	136	)	)	PUNCT
ejpam-4765	644	137	1	1	NUM
ejpam-4765	644	138	/	/	SYM
ejpam-4765	644	139	ρ	ρ	NOUN
ejpam-4765	644	140	.	.	PUNCT
ejpam-4765	645	1	from	from	ADP
ejpam-4765	645	2	the	the	DET
ejpam-4765	645	3	left	left	NOUN
ejpam-4765	645	4	to	to	ADP
ejpam-4765	645	5	the	the	DET
ejpam-4765	645	6	right	right	NOUN
ejpam-4765	645	7	:	:	PUNCT
ejpam-4765	645	8	(	(	PUNCT
ejpam-4765	645	9	ρ	ρ	NOUN
ejpam-4765	645	10	=	=	SYM
ejpam-4765	645	11	−0.5	−0.5	PROPN
ejpam-4765	645	12	,	,	PUNCT
ejpam-4765	645	13	η(q	η(q	NOUN
ejpam-4765	645	14	,	,	PUNCT
ejpam-4765	645	15	0.2	0.2	NUM
ejpam-4765	645	16	,	,	PUNCT
ejpam-4765	645	17	0.8	0.8	NUM
ejpam-4765	645	18	)	)	PUNCT
ejpam-4765	645	19	=	=	NOUN
ejpam-4765	646	1	292.93	292.93	NUM
ejpam-4765	646	2	)	)	PUNCT
ejpam-4765	646	3	,	,	PUNCT
ejpam-4765	646	4	(	(	PUNCT
ejpam-4765	646	5	ρ	ρ	NOUN
ejpam-4765	646	6	=	=	SYM
ejpam-4765	646	7	−0.75	−0.75	ADJ
ejpam-4765	646	8	,	,	PUNCT
ejpam-4765	646	9	η(q	η(q	NOUN
ejpam-4765	646	10	,	,	PUNCT
ejpam-4765	646	11	0.2	0.2	NUM
ejpam-4765	646	12	,	,	PUNCT
ejpam-4765	646	13	0.8	0.8	NUM
ejpam-4765	646	14	)	)	PUNCT
ejpam-4765	646	15	=	=	SYM
ejpam-4765	646	16	73.47	73.47	NUM
ejpam-4765	646	17	)	)	PUNCT
ejpam-4765	646	18	and	and	CCONJ
ejpam-4765	646	19	(	(	PUNCT
ejpam-4765	646	20	ρ	ρ	NOUN
ejpam-4765	646	21	=	=	SYM
ejpam-4765	646	22	−1	−1	NOUN
ejpam-4765	646	23	,	,	PUNCT
ejpam-4765	646	24	η(q	η(q	NOUN
ejpam-4765	646	25	,	,	PUNCT
ejpam-4765	646	26	0.2	0.2	NUM
ejpam-4765	646	27	,	,	PUNCT
ejpam-4765	646	28	0.8	0.8	NUM
ejpam-4765	646	29	)	)	PUNCT
ejpam-4765	646	30	=	=	PUNCT
ejpam-4765	647	1	37.70	37.70	NUM
ejpam-4765	647	2	)	)	PUNCT
ejpam-4765	647	3	.	.	PUNCT
ejpam-4765	648	1	6	6	X
ejpam-4765	648	2	.	.	X
ejpam-4765	648	3	conclusion	conclusion	NOUN
ejpam-4765	648	4	in	in	ADP
ejpam-4765	648	5	this	this	DET
ejpam-4765	648	6	paper	paper	NOUN
ejpam-4765	648	7	,	,	PUNCT
ejpam-4765	648	8	we	we	PRON
ejpam-4765	648	9	introduced	introduce	VERB
ejpam-4765	648	10	a	a	DET
ejpam-4765	648	11	large	large	ADJ
ejpam-4765	648	12	class	class	NOUN
ejpam-4765	648	13	of	of	ADP
ejpam-4765	648	14	asymptotically	asymptotically	ADV
ejpam-4765	648	15	normal	normal	ADJ
ejpam-4765	648	16	estimators	estimator	NOUN
ejpam-4765	648	17	of	of	ADP
ejpam-4765	648	18	the	the	DET
ejpam-4765	648	19	quintile	quintile	NOUN
ejpam-4765	648	20	share	share	NOUN
ejpam-4765	648	21	ratio	ratio	NOUN
ejpam-4765	648	22	(	(	PUNCT
ejpam-4765	648	23	qsr	qsr	NOUN
ejpam-4765	648	24	)	)	PUNCT
ejpam-4765	648	25	index	index	NOUN
ejpam-4765	648	26	for	for	ADP
ejpam-4765	648	27	heavy	heavy	ADJ
ejpam-4765	648	28	tailed	tail	VERB
ejpam-4765	648	29	income	income	NOUN
ejpam-4765	648	30	distributions	distribution	NOUN
ejpam-4765	648	31	.	.	PUNCT
ejpam-4765	649	1	from	from	ADP
ejpam-4765	649	2	that	that	DET
ejpam-4765	649	3	class	class	NOUN
ejpam-4765	649	4	,	,	PUNCT
ejpam-4765	649	5	we	we	PRON
ejpam-4765	649	6	derived	derive	VERB
ejpam-4765	649	7	a	a	DET
ejpam-4765	649	8	bias	bias	NOUN
ejpam-4765	649	9	reduction	reduction	NOUN
ejpam-4765	649	10	procedure	procedure	NOUN
ejpam-4765	649	11	and	and	CCONJ
ejpam-4765	649	12	we	we	PRON
ejpam-4765	649	13	proposed	propose	VERB
ejpam-4765	649	14	an	an	DET
ejpam-4765	649	15	unbiased	unbiased	ADJ
ejpam-4765	649	16	estimator	estimator	NOUN
ejpam-4765	649	17	with	with	ADP
ejpam-4765	649	18	minimal	minimal	ADJ
ejpam-4765	649	19	variance	variance	NOUN
ejpam-4765	649	20	of	of	ADP
ejpam-4765	649	21	the	the	DET
ejpam-4765	649	22	m.	m.	NOUN
ejpam-4765	650	1	kebe	kebe	PROPN
ejpam-4765	650	2	et	et	PROPN
ejpam-4765	650	3	al	al	PROPN
ejpam-4765	650	4	.	.	PUNCT
ejpam-4765	650	5	/	/	SYM
ejpam-4765	650	6	eur	eur	PROPN
ejpam-4765	650	7	.	.	PUNCT
ejpam-4765	651	1	j.	j.	PROPN
ejpam-4765	651	2	pure	pure	PROPN
ejpam-4765	651	3	appl	appl	PROPN
ejpam-4765	651	4	.	.	PROPN
ejpam-4765	651	5	math	math	PROPN
ejpam-4765	651	6	,	,	PUNCT
ejpam-4765	651	7	16	16	NUM
ejpam-4765	651	8	(	(	PUNCT
ejpam-4765	651	9	4	4	NUM
ejpam-4765	651	10	)	)	PUNCT
ejpam-4765	651	11	(	(	PUNCT
ejpam-4765	651	12	2023	2023	NUM
ejpam-4765	651	13	)	)	PUNCT
ejpam-4765	651	14	,	,	PUNCT
ejpam-4765	651	15	2509	2509	NUM
ejpam-4765	651	16	-	-	SYM
ejpam-4765	651	17	2543	2543	NUM
ejpam-4765	651	18	2539	2539	NUM
ejpam-4765	651	19	table	table	NOUN
ejpam-4765	651	20	1	1	NUM
ejpam-4765	651	21	:	:	PUNCT
ejpam-4765	651	22	estimation	estimation	NOUN
ejpam-4765	651	23	results	result	NOUN
ejpam-4765	651	24	of	of	ADP
ejpam-4765	651	25	the	the	DET
ejpam-4765	651	26	qsr	qsr	PROPN
ejpam-4765	651	27	index	index	NOUN
ejpam-4765	651	28	estimators	estimator	NOUN
ejpam-4765	651	29	η̃	η̃	PROPN
ejpam-4765	651	30	(	(	PUNCT
ejpam-4765	651	31	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	651	32	opt	opt	NOUN
ejpam-4765	651	33	)	)	PUNCT
ejpam-4765	651	34	n	n	CCONJ
ejpam-4765	651	35	,	,	PUNCT
ejpam-4765	651	36	k	k	PROPN
ejpam-4765	651	37	,	,	PUNCT
ejpam-4765	651	38	ρ̂	ρ̂	NUM
ejpam-4765	651	39	(	(	PUNCT
ejpam-4765	651	40	0.2	0.2	NUM
ejpam-4765	651	41	,	,	PUNCT
ejpam-4765	651	42	0.8	0.8	NUM
ejpam-4765	651	43	)	)	PUNCT
ejpam-4765	651	44	,	,	PUNCT
ejpam-4765	651	45	η̂	η̂	PROPN
ejpam-4765	651	46	(	(	PUNCT
ejpam-4765	651	47	k	k	NOUN
ejpam-4765	651	48	)	)	PUNCT
ejpam-4765	651	49	n	n	CCONJ
ejpam-4765	651	50	,	,	PUNCT
ejpam-4765	651	51	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	651	52	,	,	PUNCT
ejpam-4765	651	53	0.8	0.8	NUM
ejpam-4765	651	54	)	)	PUNCT
ejpam-4765	651	55	and	and	CCONJ
ejpam-4765	651	56	η̂	η̂	PROPN
ejpam-4765	651	57	(	(	PUNCT
ejpam-4765	651	58	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	651	59	)	)	PUNCT
ejpam-4765	651	60	n	n	CCONJ
ejpam-4765	651	61	,	,	PUNCT
ejpam-4765	651	62	k∗	k∗	PROPN
ejpam-4765	651	63	(	(	PUNCT
ejpam-4765	651	64	0.2	0.2	NUM
ejpam-4765	651	65	,	,	PUNCT
ejpam-4765	651	66	0.8	0.8	NUM
ejpam-4765	651	67	)	)	PUNCT
ejpam-4765	651	68	with	with	ADP
ejpam-4765	651	69	their	their	PRON
ejpam-4765	651	70	95	95	NUM
ejpam-4765	651	71	%	%	NOUN
ejpam-4765	651	72	confidence	confidence	NOUN
ejpam-4765	651	73	intervals	interval	NOUN
ejpam-4765	651	74	,	,	PUNCT
ejpam-4765	651	75	computed	compute	VERB
ejpam-4765	651	76	with	with	ADP
ejpam-4765	651	77	their	their	PRON
ejpam-4765	651	78	associated	associated	ADJ
ejpam-4765	651	79	optimal	optimal	ADJ
ejpam-4765	651	80	numbers	number	NOUN
ejpam-4765	651	81	of	of	ADP
ejpam-4765	651	82	top	top	ADJ
ejpam-4765	651	83	statistics	statistic	NOUN
ejpam-4765	651	84	k∗	k∗	PROPN
ejpam-4765	651	85	,	,	PUNCT
ejpam-4765	651	86	based	base	VERB
ejpam-4765	651	87	on	on	ADP
ejpam-4765	651	88	n	n	NOUN
ejpam-4765	651	89	=	=	SYM
ejpam-4765	651	90	500	500	NUM
ejpam-4765	651	91	samples	sample	NOUN
ejpam-4765	651	92	of	of	ADP
ejpam-4765	651	93	size	size	NOUN
ejpam-4765	651	94	n	n	NOUN
ejpam-4765	651	95	=	=	SYM
ejpam-4765	651	96	1000	1000	NUM
ejpam-4765	651	97	,	,	PUNCT
ejpam-4765	651	98	from	from	ADP
ejpam-4765	651	99	a	a	DET
ejpam-4765	651	100	burr	burr	NOUN
ejpam-4765	651	101	distribution	distribution	NOUN
ejpam-4765	651	102	defined	define	VERB
ejpam-4765	651	103	as	as	ADP
ejpam-4765	651	104	f	f	PROPN
ejpam-4765	651	105	(	(	PUNCT
ejpam-4765	651	106	x	x	NOUN
ejpam-4765	651	107	)	)	PUNCT
ejpam-4765	651	108	=	=	SYM
ejpam-4765	651	109	(	(	PUNCT
ejpam-4765	651	110	1	1	NUM
ejpam-4765	651	111	+	+	NUM
ejpam-4765	651	112	x−	x−	PROPN
ejpam-4765	651	113	3ρ	3ρ	NUM
ejpam-4765	651	114	2	2	NUM
ejpam-4765	651	115	)	)	PUNCT
ejpam-4765	651	116	1	1	NUM
ejpam-4765	651	117	/	/	SYM
ejpam-4765	651	118	ρ	ρ	NOUN
ejpam-4765	651	119	.	.	PUNCT
ejpam-4765	652	1	the	the	DET
ejpam-4765	652	2	true	true	ADJ
ejpam-4765	652	3	values	value	NOUN
ejpam-4765	652	4	of	of	ADP
ejpam-4765	652	5	the	the	DET
ejpam-4765	652	6	qsr	qsr	PROPN
ejpam-4765	652	7	index	index	NOUN
ejpam-4765	652	8	are	be	AUX
ejpam-4765	652	9	η(q	η(q	NOUN
ejpam-4765	652	10	,	,	PUNCT
ejpam-4765	652	11	0.2	0.2	NUM
ejpam-4765	652	12	,	,	PUNCT
ejpam-4765	652	13	0.8	0.8	NUM
ejpam-4765	652	14	)	)	PUNCT
ejpam-4765	652	15	=	=	NOUN
ejpam-4765	652	16	292.93	292.93	NUM
ejpam-4765	652	17	for	for	ADP
ejpam-4765	652	18	ρ	ρ	NOUN
ejpam-4765	652	19	=	=	SYM
ejpam-4765	652	20	−0.5	−0.5	PROPN
ejpam-4765	652	21	,	,	PUNCT
ejpam-4765	652	22	η(q	η(q	NOUN
ejpam-4765	652	23	,	,	PUNCT
ejpam-4765	652	24	0.2	0.2	NUM
ejpam-4765	652	25	,	,	PUNCT
ejpam-4765	652	26	0.8	0.8	NUM
ejpam-4765	652	27	)	)	PUNCT
ejpam-4765	652	28	=	=	SYM
ejpam-4765	653	1	73.47	73.47	NUM
ejpam-4765	653	2	,	,	PUNCT
ejpam-4765	653	3	for	for	ADP
ejpam-4765	653	4	ρ	ρ	PROPN
ejpam-4765	653	5	=	=	SYM
ejpam-4765	653	6	−0.75	−0.75	PROPN
ejpam-4765	653	7	and	and	CCONJ
ejpam-4765	653	8	η(q	η(q	NOUN
ejpam-4765	653	9	,	,	PUNCT
ejpam-4765	653	10	0.2	0.2	NUM
ejpam-4765	653	11	,	,	PUNCT
ejpam-4765	653	12	0.8	0.8	NUM
ejpam-4765	653	13	)	)	PUNCT
ejpam-4765	653	14	=	=	PUNCT
ejpam-4765	653	15	37.70	37.70	NUM
ejpam-4765	653	16	for	for	ADP
ejpam-4765	653	17	ρ	ρ	NOUN
ejpam-4765	653	18	=	=	SYM
ejpam-4765	653	19	−1	−1	NOUN
ejpam-4765	653	20	.	.	PUNCT
ejpam-4765	654	1	n	n	NOUN
ejpam-4765	654	2	=	=	SYM
ejpam-4765	654	3	1000	1000	NUM
ejpam-4765	654	4	ρ	ρ	NUM
ejpam-4765	654	5	γ	γ	NOUN
ejpam-4765	654	6	-	-	PUNCT
ejpam-4765	654	7	estimates	estimate	NOUN
ejpam-4765	654	8	qsr	qsr	NOUN
ejpam-4765	654	9	-	-	PUNCT
ejpam-4765	654	10	estimates	estimate	NOUN
ejpam-4765	654	11	abias	abias	PROPN
ejpam-4765	654	12	mse	mse	PROPN
ejpam-4765	654	13	95%-conf	95%-conf	PROPN
ejpam-4765	654	14	.	.	PUNCT
ejpam-4765	655	1	int	int	NOUN
ejpam-4765	655	2	cover	cover	NOUN
ejpam-4765	655	3	γ̂	γ̂	PUNCT
ejpam-4765	655	4	(	(	PUNCT
ejpam-4765	655	5	k	k	NOUN
ejpam-4765	655	6	)	)	PUNCT
ejpam-4765	655	7	n	n	CCONJ
ejpam-4765	655	8	,	,	PUNCT
ejpam-4765	655	9	k∗	k∗	VERB
ejpam-4765	655	10	0.831	0.831	NUM
ejpam-4765	655	11	η̂	η̂	PROPN
ejpam-4765	655	12	(	(	PUNCT
ejpam-4765	655	13	k	k	NOUN
ejpam-4765	655	14	)	)	PUNCT
ejpam-4765	655	15	n	n	CCONJ
ejpam-4765	655	16	,	,	PUNCT
ejpam-4765	655	17	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	655	18	,	,	PUNCT
ejpam-4765	655	19	0.8	0.8	NUM
ejpam-4765	655	20	)	)	PUNCT
ejpam-4765	655	21	396.559	396.559	NUM
ejpam-4765	655	22	0.353	0.353	NUM
ejpam-4765	655	23	0.165	0.165	NUM
ejpam-4765	655	24	(	(	PUNCT
ejpam-4765	655	25	287.176	287.176	NUM
ejpam-4765	655	26	;	;	PUNCT
ejpam-4765	655	27	698.188	698.188	NUM
ejpam-4765	655	28	)	)	PUNCT
ejpam-4765	655	29	411.012	411.012	NUM
ejpam-4765	655	30	-0.5	-0.5	NOUN
ejpam-4765	655	31	γ̂	γ̂	PRON
ejpam-4765	655	32	(	(	PUNCT
ejpam-4765	655	33	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	655	34	)	)	PUNCT
ejpam-4765	655	35	n	n	CCONJ
ejpam-4765	655	36	,	,	PUNCT
ejpam-4765	655	37	k∗	k∗	VERB
ejpam-4765	655	38	0.864	0.864	NUM
ejpam-4765	655	39	η̂	η̂	NUM
ejpam-4765	655	40	(	(	PUNCT
ejpam-4765	655	41	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	655	42	)	)	PUNCT
ejpam-4765	655	43	n	n	CCONJ
ejpam-4765	655	44	,	,	PUNCT
ejpam-4765	655	45	k∗	k∗	PROPN
ejpam-4765	655	46	(	(	PUNCT
ejpam-4765	655	47	0.2	0.2	NUM
ejpam-4765	655	48	,	,	PUNCT
ejpam-4765	655	49	0.8	0.8	NUM
ejpam-4765	655	50	)	)	PUNCT
ejpam-4765	655	51	404.973	404.973	NUM
ejpam-4765	655	52	0.382	0.382	NUM
ejpam-4765	655	53	0.367	0.367	NUM
ejpam-4765	655	54	(	(	PUNCT
ejpam-4765	655	55	280.834	280.834	NUM
ejpam-4765	655	56	;	;	PUNCT
ejpam-4765	655	57	712.542	712.542	NUM
ejpam-4765	655	58	)	)	PUNCT
ejpam-4765	655	59	431.708	431.708	NUM
ejpam-4765	655	60	γ̂	γ̂	PUNCT
ejpam-4765	655	61	(	(	PUNCT
ejpam-4765	655	62	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	655	63	opt	opt	NOUN
ejpam-4765	655	64	)	)	PUNCT
ejpam-4765	655	65	n	n	CCONJ
ejpam-4765	655	66	,	,	PUNCT
ejpam-4765	655	67	k∗	k∗	PROPN
ejpam-4765	655	68	0.733	0.733	NUM
ejpam-4765	655	69	η̃	η̃	PROPN
ejpam-4765	655	70	(	(	PUNCT
ejpam-4765	655	71	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	655	72	opt	opt	NOUN
ejpam-4765	655	73	)	)	PUNCT
ejpam-4765	655	74	n	n	CCONJ
ejpam-4765	655	75	,	,	PUNCT
ejpam-4765	655	76	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	655	77	(	(	PUNCT
ejpam-4765	655	78	0.2	0.2	NUM
ejpam-4765	655	79	,	,	PUNCT
ejpam-4765	655	80	0.8	0.8	NUM
ejpam-4765	655	81	)	)	PUNCT
ejpam-4765	655	82	297.701	297.701	NUM
ejpam-4765	655	83	0.016	0.016	NUM
ejpam-4765	655	84	0.055	0.055	NUM
ejpam-4765	655	85	(	(	PUNCT
ejpam-4765	655	86	257.609	257.609	NUM
ejpam-4765	655	87	;	;	PUNCT
ejpam-4765	655	88	310.992	310.992	NUM
ejpam-4765	655	89	)	)	PUNCT
ejpam-4765	655	90	53.382	53.382	NUM
ejpam-4765	655	91	γ̂	γ̂	PUNCT
ejpam-4765	655	92	(	(	PUNCT
ejpam-4765	655	93	k	k	NOUN
ejpam-4765	655	94	)	)	PUNCT
ejpam-4765	655	95	n	n	CCONJ
ejpam-4765	655	96	,	,	PUNCT
ejpam-4765	655	97	k∗	k∗	VERB
ejpam-4765	655	98	0.749	0.749	NUM
ejpam-4765	655	99	η̂	η̂	PROPN
ejpam-4765	655	100	(	(	PUNCT
ejpam-4765	655	101	k	k	NOUN
ejpam-4765	655	102	)	)	PUNCT
ejpam-4765	655	103	n	n	CCONJ
ejpam-4765	655	104	,	,	PUNCT
ejpam-4765	655	105	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	655	106	,	,	PUNCT
ejpam-4765	655	107	0.8	0.8	NUM
ejpam-4765	655	108	)	)	PUNCT
ejpam-4765	655	109	84	84	NUM
ejpam-4765	655	110	0.143	0.143	NUM
ejpam-4765	655	111	0.032	0.032	NUM
ejpam-4765	655	112	(	(	PUNCT
ejpam-4765	655	113	70.909	70.909	NUM
ejpam-4765	655	114	;	;	PUNCT
ejpam-4765	655	115	104.751	104.751	NUM
ejpam-4765	655	116	)	)	PUNCT
ejpam-4765	655	117	33.841	33.841	NUM
ejpam-4765	655	118	-0.75	-0.75	NUM
ejpam-4765	655	119	γ̂	γ̂	PUNCT
ejpam-4765	655	120	(	(	PUNCT
ejpam-4765	655	121	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	655	122	)	)	PUNCT
ejpam-4765	655	123	n	n	CCONJ
ejpam-4765	655	124	,	,	PUNCT
ejpam-4765	655	125	k∗	k∗	VERB
ejpam-4765	655	126	0.768	0.768	NUM
ejpam-4765	655	127	η̂	η̂	PROPN
ejpam-4765	655	128	(	(	PUNCT
ejpam-4765	655	129	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	655	130	)	)	PUNCT
ejpam-4765	655	131	n	n	CCONJ
ejpam-4765	655	132	,	,	PUNCT
ejpam-4765	655	133	k∗	k∗	PROPN
ejpam-4765	655	134	(	(	PUNCT
ejpam-4765	655	135	0.2	0.2	NUM
ejpam-4765	655	136	,	,	PUNCT
ejpam-4765	655	137	0.8	0.8	NUM
ejpam-4765	655	138	)	)	PUNCT
ejpam-4765	655	139	89.821	89.821	NUM
ejpam-4765	655	140	0.222	0.222	NUM
ejpam-4765	655	141	0.059	0.059	NUM
ejpam-4765	655	142	(	(	PUNCT
ejpam-4765	655	143	69.444	69.444	NUM
ejpam-4765	655	144	;	;	PUNCT
ejpam-4765	655	145	131.834	131.834	NUM
ejpam-4765	655	146	)	)	PUNCT
ejpam-4765	655	147	62.390	62.390	NUM
ejpam-4765	655	148	γ̂	γ̂	X
ejpam-4765	655	149	(	(	PUNCT
ejpam-4765	655	150	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	655	151	opt	opt	NOUN
ejpam-4765	655	152	)	)	PUNCT
ejpam-4765	655	153	n	n	CCONJ
ejpam-4765	655	154	,	,	PUNCT
ejpam-4765	655	155	k∗	k∗	PROPN
ejpam-4765	655	156	0.687	0.687	NUM
ejpam-4765	655	157	η̃	η̃	PROPN
ejpam-4765	655	158	(	(	PUNCT
ejpam-4765	655	159	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	655	160	opt	opt	NOUN
ejpam-4765	655	161	)	)	PUNCT
ejpam-4765	655	162	n	n	CCONJ
ejpam-4765	655	163	,	,	PUNCT
ejpam-4765	655	164	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	655	165	(	(	PUNCT
ejpam-4765	655	166	0.2	0.2	NUM
ejpam-4765	655	167	,	,	PUNCT
ejpam-4765	655	168	0.8	0.8	NUM
ejpam-4765	655	169	)	)	PUNCT
ejpam-4765	655	170	75.140	75.140	NUM
ejpam-4765	655	171	0.009	0.009	NUM
ejpam-4765	655	172	0.028	0.028	NUM
ejpam-4765	655	173	(	(	PUNCT
ejpam-4765	655	174	66.043	66.043	NUM
ejpam-4765	655	175	;	;	PUNCT
ejpam-4765	655	176	75.648	75.648	NUM
ejpam-4765	655	177	)	)	PUNCT
ejpam-4765	655	178	9.604	9.604	NUM
ejpam-4765	655	179	γ̂	γ̂	NUM
ejpam-4765	656	1	(	(	PUNCT
ejpam-4765	656	2	k	k	NOUN
ejpam-4765	656	3	)	)	PUNCT
ejpam-4765	656	4	n	n	CCONJ
ejpam-4765	656	5	,	,	PUNCT
ejpam-4765	656	6	k∗	k∗	VERB
ejpam-4765	656	7	0.736	0.736	NUM
ejpam-4765	656	8	η̂	η̂	PROPN
ejpam-4765	656	9	(	(	PUNCT
ejpam-4765	656	10	k	k	NOUN
ejpam-4765	656	11	)	)	PUNCT
ejpam-4765	656	12	n	n	CCONJ
ejpam-4765	656	13	,	,	PUNCT
ejpam-4765	656	14	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	656	15	,	,	PUNCT
ejpam-4765	656	16	0.8	0.8	NUM
ejpam-4765	656	17	)	)	PUNCT
ejpam-4765	657	1	42.859	42.859	NUM
ejpam-4765	657	2	0.136	0.136	NUM
ejpam-4765	657	3	0.024	0.024	NUM
ejpam-4765	657	4	(	(	PUNCT
ejpam-4765	657	5	36.466	36.466	NUM
ejpam-4765	657	6	;	;	PUNCT
ejpam-4765	657	7	44.092	44.092	NUM
ejpam-4765	657	8	)	)	PUNCT
ejpam-4765	657	9	7.626	7.626	NUM
ejpam-4765	657	10	-1	-1	NOUN
ejpam-4765	657	11	γ̂	γ̂	PUNCT
ejpam-4765	657	12	(	(	PUNCT
ejpam-4765	657	13	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	657	14	)	)	PUNCT
ejpam-4765	657	15	n	n	CCONJ
ejpam-4765	657	16	,	,	PUNCT
ejpam-4765	657	17	k∗	k∗	VERB
ejpam-4765	657	18	0.754	0.754	NUM
ejpam-4765	657	19	η̂	η̂	NUM
ejpam-4765	657	20	(	(	PUNCT
ejpam-4765	657	21	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	657	22	)	)	PUNCT
ejpam-4765	657	23	n	n	CCONJ
ejpam-4765	657	24	,	,	PUNCT
ejpam-4765	657	25	k∗	k∗	PROPN
ejpam-4765	657	26	(	(	PUNCT
ejpam-4765	657	27	0.2	0.2	NUM
ejpam-4765	657	28	,	,	PUNCT
ejpam-4765	657	29	0.8	0.8	NUM
ejpam-4765	657	30	)	)	PUNCT
ejpam-4765	657	31	46.517	46.517	NUM
ejpam-4765	657	32	0.203	0.203	NUM
ejpam-4765	657	33	0.056	0.056	NUM
ejpam-4765	657	34	(	(	PUNCT
ejpam-4765	657	35	36.106	36.106	NUM
ejpam-4765	657	36	;	;	PUNCT
ejpam-4765	657	37	49.632	49.632	NUM
ejpam-4765	657	38	)	)	PUNCT
ejpam-4765	657	39	13.526	13.526	NUM
ejpam-4765	657	40	γ̂	γ̂	NUM
ejpam-4765	658	1	(	(	PUNCT
ejpam-4765	658	2	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	658	3	opt	opt	NOUN
ejpam-4765	658	4	)	)	PUNCT
ejpam-4765	658	5	n	n	CCONJ
ejpam-4765	658	6	,	,	PUNCT
ejpam-4765	658	7	k∗	k∗	VERB
ejpam-4765	658	8	0.672	0.672	NUM
ejpam-4765	658	9	η̃	η̃	PROPN
ejpam-4765	658	10	(	(	PUNCT
ejpam-4765	658	11	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	658	12	opt	opt	NOUN
ejpam-4765	658	13	)	)	PUNCT
ejpam-4765	658	14	n	n	CCONJ
ejpam-4765	658	15	,	,	PUNCT
ejpam-4765	658	16	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	658	17	(	(	PUNCT
ejpam-4765	658	18	0.2	0.2	NUM
ejpam-4765	658	19	,	,	PUNCT
ejpam-4765	658	20	0.8	0.8	NUM
ejpam-4765	658	21	)	)	PUNCT
ejpam-4765	658	22	37.810	37.810	NUM
ejpam-4765	658	23	0.002	0.002	NUM
ejpam-4765	658	24	0.018	0.018	NUM
ejpam-4765	658	25	(	(	PUNCT
ejpam-4765	658	26	34.252	34.252	NUM
ejpam-4765	658	27	;	;	PUNCT
ejpam-4765	658	28	38.446	38.446	NUM
ejpam-4765	658	29	)	)	PUNCT
ejpam-4765	658	30	4.193	4.193	NUM
ejpam-4765	658	31	table	table	NOUN
ejpam-4765	658	32	2	2	NUM
ejpam-4765	658	33	:	:	PUNCT
ejpam-4765	658	34	estimation	estimation	NOUN
ejpam-4765	658	35	results	result	NOUN
ejpam-4765	658	36	of	of	ADP
ejpam-4765	658	37	the	the	DET
ejpam-4765	658	38	qsr	qsr	PROPN
ejpam-4765	658	39	index	index	NOUN
ejpam-4765	658	40	estimators	estimator	NOUN
ejpam-4765	658	41	η̃	η̃	PROPN
ejpam-4765	658	42	(	(	PUNCT
ejpam-4765	658	43	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	658	44	opt	opt	NOUN
ejpam-4765	658	45	)	)	PUNCT
ejpam-4765	658	46	n	n	CCONJ
ejpam-4765	658	47	,	,	PUNCT
ejpam-4765	658	48	k	k	PROPN
ejpam-4765	658	49	,	,	PUNCT
ejpam-4765	658	50	ρ̂	ρ̂	NUM
ejpam-4765	658	51	(	(	PUNCT
ejpam-4765	658	52	0.2	0.2	NUM
ejpam-4765	658	53	,	,	PUNCT
ejpam-4765	658	54	0.8	0.8	NUM
ejpam-4765	658	55	)	)	PUNCT
ejpam-4765	658	56	,	,	PUNCT
ejpam-4765	658	57	η̂	η̂	PROPN
ejpam-4765	658	58	(	(	PUNCT
ejpam-4765	658	59	k	k	NOUN
ejpam-4765	658	60	)	)	PUNCT
ejpam-4765	658	61	n	n	CCONJ
ejpam-4765	658	62	,	,	PUNCT
ejpam-4765	658	63	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	658	64	,	,	PUNCT
ejpam-4765	658	65	0.8	0.8	NUM
ejpam-4765	658	66	)	)	PUNCT
ejpam-4765	658	67	and	and	CCONJ
ejpam-4765	658	68	η̂	η̂	PROPN
ejpam-4765	658	69	(	(	PUNCT
ejpam-4765	658	70	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	658	71	)	)	PUNCT
ejpam-4765	658	72	n	n	CCONJ
ejpam-4765	658	73	,	,	PUNCT
ejpam-4765	658	74	k∗	k∗	PROPN
ejpam-4765	658	75	(	(	PUNCT
ejpam-4765	658	76	0.2	0.2	NUM
ejpam-4765	658	77	,	,	PUNCT
ejpam-4765	658	78	0.8	0.8	NUM
ejpam-4765	658	79	)	)	PUNCT
ejpam-4765	658	80	with	with	ADP
ejpam-4765	658	81	their	their	PRON
ejpam-4765	658	82	95	95	NUM
ejpam-4765	658	83	%	%	NOUN
ejpam-4765	658	84	confidence	confidence	NOUN
ejpam-4765	658	85	intervals	interval	NOUN
ejpam-4765	658	86	,	,	PUNCT
ejpam-4765	658	87	computed	compute	VERB
ejpam-4765	658	88	with	with	ADP
ejpam-4765	658	89	their	their	PRON
ejpam-4765	658	90	associated	associated	ADJ
ejpam-4765	658	91	optimal	optimal	ADJ
ejpam-4765	658	92	numbers	number	NOUN
ejpam-4765	658	93	of	of	ADP
ejpam-4765	658	94	top	top	ADJ
ejpam-4765	658	95	statistics	statistic	NOUN
ejpam-4765	658	96	k∗	k∗	PROPN
ejpam-4765	658	97	,	,	PUNCT
ejpam-4765	658	98	based	base	VERB
ejpam-4765	658	99	on	on	ADP
ejpam-4765	658	100	n	n	NOUN
ejpam-4765	658	101	=	=	SYM
ejpam-4765	658	102	500	500	NUM
ejpam-4765	658	103	samples	sample	NOUN
ejpam-4765	658	104	of	of	ADP
ejpam-4765	658	105	size	size	NOUN
ejpam-4765	658	106	n	n	PROPN
ejpam-4765	658	107	=	=	SYM
ejpam-4765	658	108	1500	1500	NUM
ejpam-4765	658	109	,	,	PUNCT
ejpam-4765	658	110	from	from	ADP
ejpam-4765	658	111	a	a	DET
ejpam-4765	658	112	burr	burr	NOUN
ejpam-4765	658	113	distribution	distribution	NOUN
ejpam-4765	658	114	defined	define	VERB
ejpam-4765	658	115	as	as	ADP
ejpam-4765	658	116	f	f	PROPN
ejpam-4765	658	117	(	(	PUNCT
ejpam-4765	658	118	x	x	NOUN
ejpam-4765	658	119	)	)	PUNCT
ejpam-4765	658	120	=	=	SYM
ejpam-4765	658	121	(	(	PUNCT
ejpam-4765	658	122	1	1	NUM
ejpam-4765	658	123	+	+	NUM
ejpam-4765	658	124	x−	x−	PROPN
ejpam-4765	658	125	3ρ	3ρ	NUM
ejpam-4765	658	126	2	2	NUM
ejpam-4765	658	127	)	)	PUNCT
ejpam-4765	658	128	1	1	NUM
ejpam-4765	658	129	/	/	SYM
ejpam-4765	658	130	ρ	ρ	NOUN
ejpam-4765	658	131	.	.	PUNCT
ejpam-4765	659	1	the	the	DET
ejpam-4765	659	2	true	true	ADJ
ejpam-4765	659	3	values	value	NOUN
ejpam-4765	659	4	of	of	ADP
ejpam-4765	659	5	the	the	DET
ejpam-4765	659	6	qsr	qsr	PROPN
ejpam-4765	659	7	index	index	NOUN
ejpam-4765	659	8	are	be	AUX
ejpam-4765	659	9	η(q	η(q	NOUN
ejpam-4765	659	10	,	,	PUNCT
ejpam-4765	659	11	0.2	0.2	NUM
ejpam-4765	659	12	,	,	PUNCT
ejpam-4765	659	13	0.8	0.8	NUM
ejpam-4765	659	14	)	)	PUNCT
ejpam-4765	659	15	=	=	NOUN
ejpam-4765	659	16	292.93	292.93	NUM
ejpam-4765	659	17	for	for	ADP
ejpam-4765	659	18	ρ	ρ	NOUN
ejpam-4765	659	19	=	=	SYM
ejpam-4765	659	20	−0.5	−0.5	PROPN
ejpam-4765	659	21	,	,	PUNCT
ejpam-4765	659	22	η(q	η(q	NOUN
ejpam-4765	659	23	,	,	PUNCT
ejpam-4765	659	24	0.2	0.2	NUM
ejpam-4765	659	25	,	,	PUNCT
ejpam-4765	659	26	0.8	0.8	NUM
ejpam-4765	659	27	)	)	PUNCT
ejpam-4765	659	28	=	=	SYM
ejpam-4765	660	1	73.47	73.47	NUM
ejpam-4765	660	2	,	,	PUNCT
ejpam-4765	660	3	for	for	ADP
ejpam-4765	660	4	ρ	ρ	PROPN
ejpam-4765	660	5	=	=	SYM
ejpam-4765	660	6	−0.75	−0.75	PROPN
ejpam-4765	660	7	and	and	CCONJ
ejpam-4765	660	8	η(q	η(q	NOUN
ejpam-4765	660	9	,	,	PUNCT
ejpam-4765	660	10	0.2	0.2	NUM
ejpam-4765	660	11	,	,	PUNCT
ejpam-4765	660	12	0.8	0.8	NUM
ejpam-4765	660	13	)	)	PUNCT
ejpam-4765	660	14	=	=	PUNCT
ejpam-4765	660	15	37.70	37.70	NUM
ejpam-4765	660	16	for	for	ADP
ejpam-4765	660	17	ρ	ρ	NOUN
ejpam-4765	660	18	=	=	SYM
ejpam-4765	660	19	−1	−1	NOUN
ejpam-4765	660	20	.	.	PUNCT
ejpam-4765	661	1	n	n	NOUN
ejpam-4765	661	2	=	=	SYM
ejpam-4765	661	3	1500	1500	NUM
ejpam-4765	661	4	ρ	ρ	NUM
ejpam-4765	661	5	γ	γ	NOUN
ejpam-4765	661	6	-	-	PUNCT
ejpam-4765	661	7	estimates	estimate	NOUN
ejpam-4765	661	8	qsr	qsr	NOUN
ejpam-4765	661	9	-	-	PUNCT
ejpam-4765	661	10	estimates	estimate	NOUN
ejpam-4765	661	11	abias	abias	PROPN
ejpam-4765	661	12	mse	mse	PROPN
ejpam-4765	661	13	95%-conf	95%-conf	PROPN
ejpam-4765	661	14	.	.	PUNCT
ejpam-4765	662	1	int	int	NOUN
ejpam-4765	662	2	cover	cover	NOUN
ejpam-4765	662	3	γ̂	γ̂	PUNCT
ejpam-4765	662	4	(	(	PUNCT
ejpam-4765	662	5	k	k	NOUN
ejpam-4765	662	6	)	)	PUNCT
ejpam-4765	662	7	n	n	CCONJ
ejpam-4765	662	8	,	,	PUNCT
ejpam-4765	662	9	k∗	k∗	VERB
ejpam-4765	662	10	0.817	0.817	NUM
ejpam-4765	662	11	η̂	η̂	NUM
ejpam-4765	662	12	(	(	PUNCT
ejpam-4765	662	13	k	k	NOUN
ejpam-4765	662	14	)	)	PUNCT
ejpam-4765	662	15	n	n	CCONJ
ejpam-4765	662	16	,	,	PUNCT
ejpam-4765	662	17	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	662	18	,	,	PUNCT
ejpam-4765	662	19	0.8	0.8	NUM
ejpam-4765	662	20	)	)	PUNCT
ejpam-4765	662	21	380.375	380.375	NUM
ejpam-4765	662	22	0.298	0.298	NUM
ejpam-4765	662	23	0.108	0.108	NUM
ejpam-4765	662	24	(	(	PUNCT
ejpam-4765	662	25	284.818	284.818	NUM
ejpam-4765	662	26	;	;	PUNCT
ejpam-4765	662	27	667.245	667.245	NUM
ejpam-4765	662	28	)	)	PUNCT
ejpam-4765	662	29	382.427	382.427	NUM
ejpam-4765	662	30	-0.5	-0.5	NOUN
ejpam-4765	662	31	γ̂	γ̂	PRON
ejpam-4765	662	32	(	(	PUNCT
ejpam-4765	662	33	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	662	34	)	)	PUNCT
ejpam-4765	662	35	n	n	CCONJ
ejpam-4765	662	36	,	,	PUNCT
ejpam-4765	662	37	k∗	k∗	VERB
ejpam-4765	662	38	0.850	0.850	NUM
ejpam-4765	662	39	η̂	η̂	NUM
ejpam-4765	662	40	(	(	PUNCT
ejpam-4765	662	41	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	662	42	)	)	PUNCT
ejpam-4765	662	43	n	n	CCONJ
ejpam-4765	662	44	,	,	PUNCT
ejpam-4765	662	45	k∗	k∗	PROPN
ejpam-4765	662	46	(	(	PUNCT
ejpam-4765	662	47	0.2	0.2	NUM
ejpam-4765	662	48	,	,	PUNCT
ejpam-4765	662	49	0.8	0.8	NUM
ejpam-4765	662	50	)	)	PUNCT
ejpam-4765	662	51	392.540	392.540	NUM
ejpam-4765	662	52	0.369	0.369	NUM
ejpam-4765	662	53	0.267	0.267	NUM
ejpam-4765	662	54	(	(	PUNCT
ejpam-4765	662	55	281.455	281.455	NUM
ejpam-4765	662	56	;	;	PUNCT
ejpam-4765	662	57	702.841	702.841	NUM
ejpam-4765	662	58	)	)	PUNCT
ejpam-4765	662	59	421.386	421.386	NUM
ejpam-4765	662	60	γ̂	γ̂	PUNCT
ejpam-4765	662	61	(	(	PUNCT
ejpam-4765	662	62	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	662	63	opt	opt	NOUN
ejpam-4765	662	64	)	)	PUNCT
ejpam-4765	662	65	n	n	CCONJ
ejpam-4765	662	66	,	,	PUNCT
ejpam-4765	662	67	k∗	k∗	VERB
ejpam-4765	662	68	0.717	0.717	NUM
ejpam-4765	662	69	η̃	η̃	PROPN
ejpam-4765	662	70	(	(	PUNCT
ejpam-4765	662	71	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	662	72	opt	opt	NOUN
ejpam-4765	662	73	)	)	PUNCT
ejpam-4765	662	74	n	n	CCONJ
ejpam-4765	662	75	,	,	PUNCT
ejpam-4765	662	76	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	662	77	(	(	PUNCT
ejpam-4765	662	78	0.2	0.2	NUM
ejpam-4765	662	79	,	,	PUNCT
ejpam-4765	662	80	0.8	0.8	NUM
ejpam-4765	662	81	)	)	PUNCT
ejpam-4765	662	82	295.998	295.998	NUM
ejpam-4765	662	83	0.010	0.010	NUM
ejpam-4765	662	84	0.038	0.038	NUM
ejpam-4765	662	85	(	(	PUNCT
ejpam-4765	662	86	258.821	258.821	NUM
ejpam-4765	662	87	;	;	PUNCT
ejpam-4765	662	88	303.800	303.800	NUM
ejpam-4765	662	89	)	)	PUNCT
ejpam-4765	662	90	44.978	44.978	NUM
ejpam-4765	662	91	γ̂	γ̂	NUM
ejpam-4765	662	92	(	(	PUNCT
ejpam-4765	662	93	k	k	NOUN
ejpam-4765	662	94	)	)	PUNCT
ejpam-4765	662	95	n	n	CCONJ
ejpam-4765	662	96	,	,	PUNCT
ejpam-4765	662	97	k∗	k∗	VERB
ejpam-4765	662	98	0.735	0.735	NUM
ejpam-4765	662	99	η̂	η̂	NUM
ejpam-4765	662	100	(	(	PUNCT
ejpam-4765	662	101	k	k	NOUN
ejpam-4765	662	102	)	)	PUNCT
ejpam-4765	662	103	n	n	CCONJ
ejpam-4765	662	104	,	,	PUNCT
ejpam-4765	662	105	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	662	106	,	,	PUNCT
ejpam-4765	662	107	0.8	0.8	NUM
ejpam-4765	662	108	)	)	PUNCT
ejpam-4765	662	109	81.594	81.594	NUM
ejpam-4765	662	110	0.132	0.132	NUM
ejpam-4765	662	111	0.029	0.029	NUM
ejpam-4765	662	112	(	(	PUNCT
ejpam-4765	662	113	69.898	69.898	NUM
ejpam-4765	662	114	,	,	PUNCT
ejpam-4765	662	115	100.133	100.133	NUM
ejpam-4765	662	116	)	)	PUNCT
ejpam-4765	662	117	30.235	30.235	NUM
ejpam-4765	662	118	-0.75	-0.75	NUM
ejpam-4765	662	119	γ̂	γ̂	PUNCT
ejpam-4765	662	120	(	(	PUNCT
ejpam-4765	662	121	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	662	122	)	)	PUNCT
ejpam-4765	662	123	n	n	CCONJ
ejpam-4765	662	124	,	,	PUNCT
ejpam-4765	662	125	k∗	k∗	VERB
ejpam-4765	662	126	0.762	0.762	NUM
ejpam-4765	662	127	η̂	η̂	NUM
ejpam-4765	662	128	(	(	PUNCT
ejpam-4765	662	129	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	662	130	)	)	PUNCT
ejpam-4765	662	131	n	n	CCONJ
ejpam-4765	662	132	,	,	PUNCT
ejpam-4765	662	133	k∗	k∗	PROPN
ejpam-4765	662	134	(	(	PUNCT
ejpam-4765	662	135	0.2	0.2	NUM
ejpam-4765	662	136	,	,	PUNCT
ejpam-4765	662	137	0.8	0.8	NUM
ejpam-4765	662	138	)	)	PUNCT
ejpam-4765	662	139	86.718	86.718	NUM
ejpam-4765	662	140	0.213	0.213	NUM
ejpam-4765	662	141	0.038	0.038	NUM
ejpam-4765	662	142	(	(	PUNCT
ejpam-4765	662	143	69.231	69.231	NUM
ejpam-4765	662	144	;	;	PUNCT
ejpam-4765	662	145	124.037	124.037	NUM
ejpam-4765	662	146	)	)	PUNCT
ejpam-4765	662	147	54.806	54.806	NUM
ejpam-4765	662	148	γ̂	γ̂	X
ejpam-4765	663	1	(	(	PUNCT
ejpam-4765	663	2	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	663	3	opt	opt	NOUN
ejpam-4765	663	4	)	)	PUNCT
ejpam-4765	663	5	n	n	CCONJ
ejpam-4765	663	6	,	,	PUNCT
ejpam-4765	663	7	k∗	k∗	VERB
ejpam-4765	663	8	0.674	0.674	NUM
ejpam-4765	663	9	η̃	η̃	PROPN
ejpam-4765	663	10	(	(	PUNCT
ejpam-4765	663	11	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	663	12	opt	opt	NOUN
ejpam-4765	663	13	)	)	PUNCT
ejpam-4765	663	14	n	n	CCONJ
ejpam-4765	663	15	,	,	PUNCT
ejpam-4765	663	16	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	663	17	(	(	PUNCT
ejpam-4765	663	18	0.2	0.2	NUM
ejpam-4765	663	19	,	,	PUNCT
ejpam-4765	663	20	0.8	0.8	NUM
ejpam-4765	663	21	)	)	PUNCT
ejpam-4765	663	22	73.599	73.599	NUM
ejpam-4765	663	23	0.006	0.006	NUM
ejpam-4765	663	24	0.018	0.018	NUM
ejpam-4765	663	25	(	(	PUNCT
ejpam-4765	663	26	66.998	66.998	NUM
ejpam-4765	663	27	;	;	PUNCT
ejpam-4765	663	28	73.983	73.983	NUM
ejpam-4765	663	29	)	)	PUNCT
ejpam-4765	663	30	6.985	6.985	NUM
ejpam-4765	663	31	γ̂	γ̂	PRON
ejpam-4765	663	32	(	(	PUNCT
ejpam-4765	663	33	k	k	NOUN
ejpam-4765	663	34	)	)	PUNCT
ejpam-4765	663	35	n	n	CCONJ
ejpam-4765	663	36	,	,	PUNCT
ejpam-4765	663	37	k∗	k∗	VERB
ejpam-4765	663	38	0.728	0.728	NUM
ejpam-4765	663	39	η̂	η̂	PROPN
ejpam-4765	663	40	(	(	PUNCT
ejpam-4765	663	41	k	k	NOUN
ejpam-4765	663	42	)	)	PUNCT
ejpam-4765	663	43	n	n	CCONJ
ejpam-4765	663	44	,	,	PUNCT
ejpam-4765	663	45	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	663	46	,	,	PUNCT
ejpam-4765	663	47	0.8	0.8	NUM
ejpam-4765	663	48	)	)	PUNCT
ejpam-4765	663	49	42.206	42.206	NUM
ejpam-4765	663	50	0.119	0.119	NUM
ejpam-4765	663	51	0.018	0.018	NUM
ejpam-4765	663	52	(	(	PUNCT
ejpam-4765	663	53	37.105	37.105	NUM
ejpam-4765	663	54	;	;	PUNCT
ejpam-4765	663	55	43.399	43.399	NUM
ejpam-4765	663	56	)	)	PUNCT
ejpam-4765	663	57	6.293	6.293	NUM
ejpam-4765	663	58	-1	-1	ADP
ejpam-4765	663	59	γ̂	γ̂	PROPN
ejpam-4765	663	60	(	(	PUNCT
ejpam-4765	663	61	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	663	62	)	)	PUNCT
ejpam-4765	663	63	n	n	CCONJ
ejpam-4765	663	64	,	,	PUNCT
ejpam-4765	663	65	k∗	k∗	VERB
ejpam-4765	663	66	0.749	0.749	NUM
ejpam-4765	663	67	η̂	η̂	NUM
ejpam-4765	663	68	(	(	PUNCT
ejpam-4765	663	69	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	663	70	)	)	PUNCT
ejpam-4765	663	71	n	n	CCONJ
ejpam-4765	663	72	,	,	PUNCT
ejpam-4765	663	73	k∗	k∗	PROPN
ejpam-4765	663	74	(	(	PUNCT
ejpam-4765	663	75	0.2	0.2	NUM
ejpam-4765	663	76	,	,	PUNCT
ejpam-4765	663	77	0.8	0.8	NUM
ejpam-4765	663	78	)	)	PUNCT
ejpam-4765	663	79	45.521	45.521	NUM
ejpam-4765	663	80	0.198	0.198	NUM
ejpam-4765	663	81	0.038	0.038	NUM
ejpam-4765	663	82	(	(	PUNCT
ejpam-4765	663	83	36.469	36.469	NUM
ejpam-4765	663	84	;	;	PUNCT
ejpam-4765	663	85	47.377	47.377	NUM
ejpam-4765	663	86	)	)	PUNCT
ejpam-4765	663	87	10.907	10.907	NUM
ejpam-4765	663	88	γ̂	γ̂	PUNCT
ejpam-4765	663	89	(	(	PUNCT
ejpam-4765	663	90	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	663	91	opt	opt	NOUN
ejpam-4765	663	92	)	)	PUNCT
ejpam-4765	663	93	n	n	CCONJ
ejpam-4765	663	94	,	,	PUNCT
ejpam-4765	663	95	k∗	k∗	VERB
ejpam-4765	663	96	0.669	0.669	NUM
ejpam-4765	663	97	η̃	η̃	PROPN
ejpam-4765	663	98	(	(	PUNCT
ejpam-4765	663	99	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	663	100	opt	opt	NOUN
ejpam-4765	663	101	)	)	PUNCT
ejpam-4765	663	102	n	n	CCONJ
ejpam-4765	663	103	,	,	PUNCT
ejpam-4765	663	104	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	663	105	(	(	PUNCT
ejpam-4765	663	106	0.2	0.2	NUM
ejpam-4765	663	107	,	,	PUNCT
ejpam-4765	663	108	0.8	0.8	NUM
ejpam-4765	663	109	)	)	PUNCT
ejpam-4765	663	110	37.369	37.369	NUM
ejpam-4765	663	111	0.001	0.001	NUM
ejpam-4765	663	112	0.014	0.014	NUM
ejpam-4765	663	113	(	(	PUNCT
ejpam-4765	663	114	34.357	34.357	NUM
ejpam-4765	663	115	,	,	PUNCT
ejpam-4765	663	116	37.751	37.751	NUM
ejpam-4765	663	117	)	)	PUNCT
ejpam-4765	663	118	3.394	3.394	NUM
ejpam-4765	663	119	qsr	qsr	PROPN
ejpam-4765	663	120	index	index	NOUN
ejpam-4765	663	121	.	.	PUNCT
ejpam-4765	664	1	comparing	compare	VERB
ejpam-4765	664	2	the	the	DET
ejpam-4765	664	3	bias	bias	NOUN
ejpam-4765	664	4	reduction	reduction	NOUN
ejpam-4765	664	5	procedure	procedure	NOUN
ejpam-4765	664	6	to	to	ADP
ejpam-4765	664	7	the	the	DET
ejpam-4765	664	8	alternative	alternative	ADJ
ejpam-4765	664	9	estimators	estimator	NOUN
ejpam-4765	664	10	,	,	PUNCT
ejpam-4765	664	11	our	our	PRON
ejpam-4765	664	12	unbiased	unbiased	ADJ
ejpam-4765	664	13	estimator	estimator	NOUN
ejpam-4765	664	14	provides	provide	VERB
ejpam-4765	664	15	,	,	PUNCT
ejpam-4765	664	16	in	in	ADP
ejpam-4765	664	17	addition	addition	NOUN
ejpam-4765	664	18	to	to	ADP
ejpam-4765	664	19	lower	low	ADJ
ejpam-4765	664	20	absolute	absolute	ADJ
ejpam-4765	664	21	bias	bias	NOUN
ejpam-4765	664	22	and	and	CCONJ
ejpam-4765	664	23	median	median	ADJ
ejpam-4765	664	24	squared	square	VERB
ejpam-4765	664	25	error	error	NOUN
ejpam-4765	664	26	in	in	ADP
ejpam-4765	664	27	general	general	ADJ
ejpam-4765	664	28	,	,	PUNCT
ejpam-4765	664	29	more	more	ADJ
ejpam-4765	664	30	stability	stability	NOUN
ejpam-4765	664	31	over	over	ADP
ejpam-4765	664	32	the	the	DET
ejpam-4765	664	33	number	number	NOUN
ejpam-4765	664	34	of	of	ADP
ejpam-4765	664	35	top	top	ADJ
ejpam-4765	664	36	statistics	statistic	NOUN
ejpam-4765	664	37	k	k	NOUN
ejpam-4765	664	38	,	,	PUNCT
ejpam-4765	664	39	especially	especially	ADV
ejpam-4765	664	40	when	when	SCONJ
ejpam-4765	664	41	bias	bias	NOUN
ejpam-4765	664	42	of	of	ADP
ejpam-4765	664	43	the	the	DET
ejpam-4765	664	44	alternative	alternative	ADJ
ejpam-4765	664	45	estimators	estimator	NOUN
ejpam-4765	664	46	references	reference	VERB
ejpam-4765	664	47	2540	2540	NUM
ejpam-4765	664	48	table	table	NOUN
ejpam-4765	664	49	3	3	NUM
ejpam-4765	664	50	:	:	PUNCT
ejpam-4765	664	51	estimation	estimation	NOUN
ejpam-4765	664	52	results	result	NOUN
ejpam-4765	664	53	of	of	ADP
ejpam-4765	664	54	the	the	DET
ejpam-4765	664	55	qsr	qsr	PROPN
ejpam-4765	664	56	index	index	NOUN
ejpam-4765	664	57	estimators	estimator	NOUN
ejpam-4765	664	58	η̃	η̃	PROPN
ejpam-4765	664	59	(	(	PUNCT
ejpam-4765	664	60	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	664	61	opt	opt	NOUN
ejpam-4765	664	62	)	)	PUNCT
ejpam-4765	664	63	n	n	CCONJ
ejpam-4765	664	64	,	,	PUNCT
ejpam-4765	664	65	k	k	PROPN
ejpam-4765	664	66	,	,	PUNCT
ejpam-4765	664	67	ρ̂	ρ̂	NUM
ejpam-4765	664	68	(	(	PUNCT
ejpam-4765	664	69	0.2	0.2	NUM
ejpam-4765	664	70	,	,	PUNCT
ejpam-4765	664	71	0.8	0.8	NUM
ejpam-4765	664	72	)	)	PUNCT
ejpam-4765	664	73	,	,	PUNCT
ejpam-4765	664	74	η̂	η̂	PROPN
ejpam-4765	664	75	(	(	PUNCT
ejpam-4765	664	76	k	k	NOUN
ejpam-4765	664	77	)	)	PUNCT
ejpam-4765	664	78	n	n	CCONJ
ejpam-4765	664	79	,	,	PUNCT
ejpam-4765	664	80	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	664	81	,	,	PUNCT
ejpam-4765	664	82	0.8	0.8	NUM
ejpam-4765	664	83	)	)	PUNCT
ejpam-4765	664	84	and	and	CCONJ
ejpam-4765	664	85	η̂	η̂	PROPN
ejpam-4765	664	86	(	(	PUNCT
ejpam-4765	664	87	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	664	88	)	)	PUNCT
ejpam-4765	664	89	n	n	CCONJ
ejpam-4765	664	90	,	,	PUNCT
ejpam-4765	664	91	k∗	k∗	PROPN
ejpam-4765	664	92	(	(	PUNCT
ejpam-4765	664	93	0.2	0.2	NUM
ejpam-4765	664	94	,	,	PUNCT
ejpam-4765	664	95	0.8	0.8	NUM
ejpam-4765	664	96	)	)	PUNCT
ejpam-4765	664	97	with	with	ADP
ejpam-4765	664	98	their	their	PRON
ejpam-4765	664	99	95	95	NUM
ejpam-4765	664	100	%	%	NOUN
ejpam-4765	664	101	confidence	confidence	NOUN
ejpam-4765	664	102	intervals	interval	NOUN
ejpam-4765	664	103	,	,	PUNCT
ejpam-4765	664	104	computed	compute	VERB
ejpam-4765	664	105	with	with	ADP
ejpam-4765	664	106	their	their	PRON
ejpam-4765	664	107	associated	associated	ADJ
ejpam-4765	664	108	optimal	optimal	ADJ
ejpam-4765	664	109	numbers	number	NOUN
ejpam-4765	664	110	of	of	ADP
ejpam-4765	664	111	top	top	ADJ
ejpam-4765	664	112	statistics	statistic	NOUN
ejpam-4765	664	113	k∗	k∗	PROPN
ejpam-4765	664	114	,	,	PUNCT
ejpam-4765	664	115	based	base	VERB
ejpam-4765	664	116	on	on	ADP
ejpam-4765	664	117	n	n	NOUN
ejpam-4765	664	118	=	=	SYM
ejpam-4765	664	119	500	500	NUM
ejpam-4765	664	120	samples	sample	NOUN
ejpam-4765	664	121	of	of	ADP
ejpam-4765	664	122	size	size	NOUN
ejpam-4765	664	123	n	n	PROPN
ejpam-4765	664	124	=	=	SYM
ejpam-4765	664	125	2000	2000	NUM
ejpam-4765	664	126	,	,	PUNCT
ejpam-4765	664	127	from	from	ADP
ejpam-4765	664	128	a	a	DET
ejpam-4765	664	129	burr	burr	NOUN
ejpam-4765	664	130	distribution	distribution	NOUN
ejpam-4765	664	131	defined	define	VERB
ejpam-4765	664	132	as	as	ADP
ejpam-4765	664	133	f	f	PROPN
ejpam-4765	664	134	(	(	PUNCT
ejpam-4765	664	135	x	x	NOUN
ejpam-4765	664	136	)	)	PUNCT
ejpam-4765	664	137	=	=	SYM
ejpam-4765	665	1	(	(	PUNCT
ejpam-4765	665	2	1	1	NUM
ejpam-4765	665	3	+	+	NUM
ejpam-4765	665	4	x−	x−	PROPN
ejpam-4765	665	5	3ρ	3ρ	NUM
ejpam-4765	665	6	2	2	NUM
ejpam-4765	665	7	)	)	PUNCT
ejpam-4765	665	8	1	1	NUM
ejpam-4765	665	9	/	/	SYM
ejpam-4765	665	10	ρ	ρ	NOUN
ejpam-4765	665	11	.	.	PUNCT
ejpam-4765	666	1	the	the	DET
ejpam-4765	666	2	true	true	ADJ
ejpam-4765	666	3	values	value	NOUN
ejpam-4765	666	4	of	of	ADP
ejpam-4765	666	5	the	the	DET
ejpam-4765	666	6	qsr	qsr	PROPN
ejpam-4765	666	7	index	index	NOUN
ejpam-4765	666	8	are	be	AUX
ejpam-4765	666	9	η(q	η(q	NOUN
ejpam-4765	666	10	,	,	PUNCT
ejpam-4765	666	11	0.2	0.2	NUM
ejpam-4765	666	12	,	,	PUNCT
ejpam-4765	666	13	0.8	0.8	NUM
ejpam-4765	666	14	)	)	PUNCT
ejpam-4765	666	15	=	=	NOUN
ejpam-4765	666	16	292.93	292.93	NUM
ejpam-4765	666	17	for	for	ADP
ejpam-4765	666	18	ρ	ρ	NOUN
ejpam-4765	666	19	=	=	SYM
ejpam-4765	666	20	−0.5	−0.5	PROPN
ejpam-4765	666	21	,	,	PUNCT
ejpam-4765	666	22	η(q	η(q	NOUN
ejpam-4765	666	23	,	,	PUNCT
ejpam-4765	666	24	0.2	0.2	NUM
ejpam-4765	666	25	,	,	PUNCT
ejpam-4765	666	26	0.8	0.8	NUM
ejpam-4765	666	27	)	)	PUNCT
ejpam-4765	666	28	=	=	SYM
ejpam-4765	667	1	73.47	73.47	NUM
ejpam-4765	667	2	,	,	PUNCT
ejpam-4765	667	3	for	for	ADP
ejpam-4765	667	4	ρ	ρ	PROPN
ejpam-4765	667	5	=	=	SYM
ejpam-4765	667	6	−0.75	−0.75	PROPN
ejpam-4765	667	7	and	and	CCONJ
ejpam-4765	667	8	η(q	η(q	NOUN
ejpam-4765	667	9	,	,	PUNCT
ejpam-4765	667	10	0.2	0.2	NUM
ejpam-4765	667	11	,	,	PUNCT
ejpam-4765	667	12	0.8	0.8	NUM
ejpam-4765	667	13	)	)	PUNCT
ejpam-4765	667	14	=	=	PUNCT
ejpam-4765	667	15	37.70	37.70	NUM
ejpam-4765	667	16	for	for	ADP
ejpam-4765	667	17	ρ	ρ	NOUN
ejpam-4765	667	18	=	=	SYM
ejpam-4765	667	19	−1	−1	NOUN
ejpam-4765	667	20	.	.	PUNCT
ejpam-4765	668	1	n	n	NOUN
ejpam-4765	668	2	=	=	SYM
ejpam-4765	668	3	2000	2000	NUM
ejpam-4765	668	4	ρ	ρ	NOUN
ejpam-4765	668	5	γ	γ	NOUN
ejpam-4765	668	6	-	-	PUNCT
ejpam-4765	668	7	estimates	estimate	NOUN
ejpam-4765	668	8	qsr	qsr	NOUN
ejpam-4765	668	9	-	-	PUNCT
ejpam-4765	668	10	estimates	estimate	NOUN
ejpam-4765	668	11	abias	abias	PROPN
ejpam-4765	668	12	mse	mse	PROPN
ejpam-4765	668	13	95%-conf	95%-conf	PROPN
ejpam-4765	668	14	.	.	PUNCT
ejpam-4765	669	1	int	int	NOUN
ejpam-4765	669	2	cover	cover	NOUN
ejpam-4765	669	3	γ̂	γ̂	PUNCT
ejpam-4765	669	4	(	(	PUNCT
ejpam-4765	669	5	k	k	NOUN
ejpam-4765	669	6	)	)	PUNCT
ejpam-4765	669	7	n	n	CCONJ
ejpam-4765	669	8	,	,	PUNCT
ejpam-4765	669	9	k∗	k∗	VERB
ejpam-4765	669	10	0.782	0.782	NUM
ejpam-4765	669	11	η̂	η̂	PROPN
ejpam-4765	669	12	(	(	PUNCT
ejpam-4765	669	13	k	k	NOUN
ejpam-4765	669	14	)	)	PUNCT
ejpam-4765	669	15	n	n	CCONJ
ejpam-4765	669	16	,	,	PUNCT
ejpam-4765	669	17	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	669	18	,	,	PUNCT
ejpam-4765	669	19	0.8	0.8	NUM
ejpam-4765	669	20	)	)	PUNCT
ejpam-4765	669	21	352.200	352.200	NUM
ejpam-4765	669	22	0.223	0.223	NUM
ejpam-4765	669	23	0.102	0.102	NUM
ejpam-4765	669	24	(	(	PUNCT
ejpam-4765	669	25	286.512	286.512	NUM
ejpam-4765	669	26	;	;	PUNCT
ejpam-4765	669	27	574.367	574.367	NUM
ejpam-4765	669	28	)	)	PUNCT
ejpam-4765	669	29	287.855	287.855	NUM
ejpam-4765	669	30	-0.5	-0.5	NOUN
ejpam-4765	669	31	γ̂	γ̂	PRON
ejpam-4765	669	32	(	(	PUNCT
ejpam-4765	669	33	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	669	34	)	)	PUNCT
ejpam-4765	669	35	n	n	CCONJ
ejpam-4765	669	36	,	,	PUNCT
ejpam-4765	669	37	k∗	k∗	VERB
ejpam-4765	669	38	0.804	0.804	NUM
ejpam-4765	669	39	η̂	η̂	NUM
ejpam-4765	669	40	(	(	PUNCT
ejpam-4765	669	41	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	669	42	)	)	PUNCT
ejpam-4765	669	43	n	n	CCONJ
ejpam-4765	669	44	,	,	PUNCT
ejpam-4765	669	45	k∗	k∗	PROPN
ejpam-4765	669	46	(	(	PUNCT
ejpam-4765	669	47	0.2	0.2	NUM
ejpam-4765	669	48	,	,	PUNCT
ejpam-4765	669	49	0.8	0.8	NUM
ejpam-4765	669	50	)	)	PUNCT
ejpam-4765	669	51	371.115	371.115	NUM
ejpam-4765	669	52	0.279	0.279	NUM
ejpam-4765	669	53	0.212	0.212	NUM
ejpam-4765	669	54	(	(	PUNCT
ejpam-4765	669	55	282.517	282.517	NUM
ejpam-4765	669	56	;	;	PUNCT
ejpam-4765	669	57	621.934	621.934	NUM
ejpam-4765	669	58	)	)	PUNCT
ejpam-4765	669	59	339.417	339.417	NUM
ejpam-4765	669	60	γ̂	γ̂	PUNCT
ejpam-4765	669	61	(	(	PUNCT
ejpam-4765	669	62	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	669	63	opt	opt	NOUN
ejpam-4765	669	64	)	)	PUNCT
ejpam-4765	669	65	n	n	CCONJ
ejpam-4765	669	66	,	,	PUNCT
ejpam-4765	669	67	k∗	k∗	PROPN
ejpam-4765	669	68	0.692	0.692	NUM
ejpam-4765	669	69	η̃	η̃	PROPN
ejpam-4765	669	70	(	(	PUNCT
ejpam-4765	669	71	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	669	72	opt	opt	NOUN
ejpam-4765	669	73	)	)	PUNCT
ejpam-4765	669	74	n	n	CCONJ
ejpam-4765	669	75	,	,	PUNCT
ejpam-4765	669	76	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	669	77	(	(	PUNCT
ejpam-4765	669	78	0.2	0.2	NUM
ejpam-4765	669	79	,	,	PUNCT
ejpam-4765	669	80	0.8	0.8	NUM
ejpam-4765	669	81	)	)	PUNCT
ejpam-4765	669	82	293.616	293.616	NUM
ejpam-4765	669	83	0.008	0.008	NUM
ejpam-4765	669	84	0.018	0.018	NUM
ejpam-4765	669	85	(	(	PUNCT
ejpam-4765	669	86	271.012	271.012	NUM
ejpam-4765	669	87	;	;	PUNCT
ejpam-4765	669	88	297.014	297.014	NUM
ejpam-4765	669	89	)	)	PUNCT
ejpam-4765	669	90	26.002	26.002	NUM
ejpam-4765	669	91	γ̂	γ̂	X
ejpam-4765	669	92	(	(	PUNCT
ejpam-4765	669	93	k	k	NOUN
ejpam-4765	669	94	)	)	PUNCT
ejpam-4765	669	95	n	n	CCONJ
ejpam-4765	669	96	,	,	PUNCT
ejpam-4765	669	97	k∗	k∗	VERB
ejpam-4765	669	98	0.727	0.727	NUM
ejpam-4765	669	99	η̂	η̂	PROPN
ejpam-4765	669	100	(	(	PUNCT
ejpam-4765	669	101	k	k	NOUN
ejpam-4765	669	102	)	)	PUNCT
ejpam-4765	669	103	n	n	CCONJ
ejpam-4765	669	104	,	,	PUNCT
ejpam-4765	669	105	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	669	106	,	,	PUNCT
ejpam-4765	669	107	0.8	0.8	NUM
ejpam-4765	669	108	)	)	PUNCT
ejpam-4765	669	109	79.682	79.682	NUM
ejpam-4765	669	110	0.117	0.117	NUM
ejpam-4765	669	111	0.012	0.012	NUM
ejpam-4765	669	112	(	(	PUNCT
ejpam-4765	669	113	71.515	71.515	NUM
ejpam-4765	669	114	;	;	PUNCT
ejpam-4765	669	115	101.509	101.509	NUM
ejpam-4765	669	116	)	)	PUNCT
ejpam-4765	669	117	29.994	29.994	NUM
ejpam-4765	669	118	-0.75	-0.75	NUM
ejpam-4765	669	119	γ̂	γ̂	PUNCT
ejpam-4765	669	120	(	(	PUNCT
ejpam-4765	669	121	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	669	122	)	)	PUNCT
ejpam-4765	669	123	n	n	CCONJ
ejpam-4765	669	124	,	,	PUNCT
ejpam-4765	669	125	k∗	k∗	VERB
ejpam-4765	669	126	0.758	0.758	NUM
ejpam-4765	669	127	η̂	η̂	NUM
ejpam-4765	669	128	(	(	PUNCT
ejpam-4765	669	129	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	669	130	)	)	PUNCT
ejpam-4765	669	131	n	n	CCONJ
ejpam-4765	669	132	,	,	PUNCT
ejpam-4765	669	133	k∗	k∗	PROPN
ejpam-4765	669	134	(	(	PUNCT
ejpam-4765	669	135	0.2	0.2	NUM
ejpam-4765	669	136	,	,	PUNCT
ejpam-4765	669	137	0.8	0.8	NUM
ejpam-4765	669	138	)	)	PUNCT
ejpam-4765	669	139	82.763	82.763	NUM
ejpam-4765	669	140	0.185	0.185	NUM
ejpam-4765	669	141	0.024	0.024	NUM
ejpam-4765	669	142	(	(	PUNCT
ejpam-4765	669	143	70.208	70.208	NUM
ejpam-4765	669	144	;	;	PUNCT
ejpam-4765	669	145	130.772	130.772	NUM
ejpam-4765	669	146	)	)	PUNCT
ejpam-4765	669	147	60.563	60.563	NUM
ejpam-4765	669	148	γ̂	γ̂	X
ejpam-4765	669	149	(	(	PUNCT
ejpam-4765	669	150	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	669	151	opt	opt	NOUN
ejpam-4765	669	152	)	)	PUNCT
ejpam-4765	669	153	n	n	CCONJ
ejpam-4765	669	154	,	,	PUNCT
ejpam-4765	669	155	k∗	k∗	VERB
ejpam-4765	669	156	0.668	0.668	NUM
ejpam-4765	669	157	η̃	η̃	PROPN
ejpam-4765	669	158	(	(	PUNCT
ejpam-4765	669	159	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	669	160	opt	opt	NOUN
ejpam-4765	669	161	)	)	PUNCT
ejpam-4765	669	162	n	n	CCONJ
ejpam-4765	669	163	,	,	PUNCT
ejpam-4765	669	164	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	669	165	(	(	PUNCT
ejpam-4765	669	166	0.2	0.2	NUM
ejpam-4765	669	167	,	,	PUNCT
ejpam-4765	669	168	0.8	0.8	NUM
ejpam-4765	669	169	)	)	PUNCT
ejpam-4765	669	170	73.416	73.416	NUM
ejpam-4765	669	171	0.0007	0.0007	NUM
ejpam-4765	669	172	0.010	0.010	NUM
ejpam-4765	669	173	(	(	PUNCT
ejpam-4765	669	174	68.456	68.456	NUM
ejpam-4765	669	175	;	;	PUNCT
ejpam-4765	669	176	73.943	73.943	NUM
ejpam-4765	669	177	)	)	PUNCT
ejpam-4765	669	178	5.486	5.486	NUM
ejpam-4765	669	179	γ̂	γ̂	PRON
ejpam-4765	669	180	(	(	PUNCT
ejpam-4765	669	181	k	k	NOUN
ejpam-4765	669	182	)	)	PUNCT
ejpam-4765	669	183	n	n	CCONJ
ejpam-4765	669	184	,	,	PUNCT
ejpam-4765	669	185	k∗	k∗	VERB
ejpam-4765	669	186	0.714	0.714	NUM
ejpam-4765	669	187	η̂	η̂	NUM
ejpam-4765	669	188	(	(	PUNCT
ejpam-4765	669	189	k	k	NOUN
ejpam-4765	669	190	)	)	PUNCT
ejpam-4765	669	191	n	n	CCONJ
ejpam-4765	669	192	,	,	PUNCT
ejpam-4765	669	193	k∗(0.2	k∗(0.2	NOUN
ejpam-4765	669	194	,	,	PUNCT
ejpam-4765	669	195	0.8	0.8	NUM
ejpam-4765	669	196	)	)	PUNCT
ejpam-4765	669	197	40.918	40.918	NUM
ejpam-4765	669	198	0.085	0.085	NUM
ejpam-4765	669	199	0.009	0.009	NUM
ejpam-4765	669	200	(	(	PUNCT
ejpam-4765	669	201	36.921	36.921	NUM
ejpam-4765	669	202	;	;	PUNCT
ejpam-4765	669	203	43.617	43.617	NUM
ejpam-4765	669	204	)	)	PUNCT
ejpam-4765	669	205	6.695	6.695	NUM
ejpam-4765	669	206	-1	-1	NOUN
ejpam-4765	669	207	γ̂	γ̂	PROPN
ejpam-4765	669	208	(	(	PUNCT
ejpam-4765	669	209	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	669	210	)	)	PUNCT
ejpam-4765	669	211	n	n	CCONJ
ejpam-4765	669	212	,	,	PUNCT
ejpam-4765	669	213	k∗	k∗	VERB
ejpam-4765	669	214	0.731	0.731	NUM
ejpam-4765	669	215	η̂	η̂	NUM
ejpam-4765	669	216	(	(	PUNCT
ejpam-4765	669	217	k2,ρ̄	k2,ρ̄	NOUN
ejpam-4765	669	218	)	)	PUNCT
ejpam-4765	669	219	n	n	CCONJ
ejpam-4765	669	220	,	,	PUNCT
ejpam-4765	669	221	k∗	k∗	PROPN
ejpam-4765	669	222	(	(	PUNCT
ejpam-4765	669	223	0.2	0.2	NUM
ejpam-4765	669	224	,	,	PUNCT
ejpam-4765	669	225	0.8	0.8	NUM
ejpam-4765	669	226	)	)	PUNCT
ejpam-4765	669	227	43.246	43.246	NUM
ejpam-4765	669	228	0.146	0.146	NUM
ejpam-4765	669	229	0.019	0.019	NUM
ejpam-4765	669	230	(	(	PUNCT
ejpam-4765	669	231	35.998	35.998	NUM
ejpam-4765	669	232	;	;	PUNCT
ejpam-4765	669	233	48.017	48.017	NUM
ejpam-4765	669	234	)	)	PUNCT
ejpam-4765	669	235	12.018	12.018	NUM
ejpam-4765	669	236	γ̂	γ̂	PUNCT
ejpam-4765	670	1	(	(	PUNCT
ejpam-4765	670	2	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	670	3	opt	opt	NOUN
ejpam-4765	670	4	)	)	PUNCT
ejpam-4765	670	5	n	n	CCONJ
ejpam-4765	670	6	,	,	PUNCT
ejpam-4765	670	7	k∗	k∗	VERB
ejpam-4765	670	8	0.657	0.657	NUM
ejpam-4765	670	9	η̃	η̃	PROPN
ejpam-4765	670	10	(	(	PUNCT
ejpam-4765	670	11	k∆̂∗	k∆̂∗	NOUN
ejpam-4765	670	12	opt	opt	NOUN
ejpam-4765	670	13	)	)	PUNCT
ejpam-4765	670	14	n	n	CCONJ
ejpam-4765	670	15	,	,	PUNCT
ejpam-4765	670	16	k∗,ρ̂	k∗,ρ̂	PROPN
ejpam-4765	670	17	(	(	PUNCT
ejpam-4765	670	18	0.2	0.2	NUM
ejpam-4765	670	19	,	,	PUNCT
ejpam-4765	670	20	0.8	0.8	NUM
ejpam-4765	670	21	)	)	PUNCT
ejpam-4765	670	22	37.461	37.461	NUM
ejpam-4765	670	23	0.0005	0.0005	NUM
ejpam-4765	670	24	0.0007	0.0007	NUM
ejpam-4765	670	25	(	(	PUNCT
ejpam-4765	670	26	35.149	35.149	NUM
ejpam-4765	670	27	;	;	PUNCT
ejpam-4765	670	28	37.706	37.706	NUM
ejpam-4765	670	29	)	)	PUNCT
ejpam-4765	670	30	2.557	2.557	NUM
ejpam-4765	670	31	are	be	AUX
ejpam-4765	670	32	strong	strong	ADJ
ejpam-4765	670	33	.	.	PUNCT
ejpam-4765	671	1	the	the	DET
ejpam-4765	671	2	comparison	comparison	NOUN
ejpam-4765	671	3	are	be	AUX
ejpam-4765	671	4	also	also	ADV
ejpam-4765	671	5	made	make	VERB
ejpam-4765	671	6	at	at	ADP
ejpam-4765	671	7	their	their	PRON
ejpam-4765	671	8	optimal	optimal	ADJ
ejpam-4765	671	9	point	point	NOUN
ejpam-4765	671	10	of	of	ADP
ejpam-4765	671	11	top	top	ADJ
ejpam-4765	671	12	statistics	statistic	NOUN
ejpam-4765	671	13	and	and	CCONJ
ejpam-4765	671	14	with	with	ADP
ejpam-4765	671	15	their	their	PRON
ejpam-4765	671	16	95	95	NUM
ejpam-4765	671	17	%	%	NOUN
ejpam-4765	671	18	confidence	confidence	NOUN
ejpam-4765	671	19	intervals	interval	NOUN
ejpam-4765	671	20	,	,	PUNCT
ejpam-4765	671	21	constructed	construct	VERB
ejpam-4765	671	22	from	from	ADP
ejpam-4765	671	23	a	a	DET
ejpam-4765	671	24	bootstrap	bootstrap	NOUN
ejpam-4765	671	25	methodology	methodology	NOUN
ejpam-4765	671	26	.	.	PUNCT
ejpam-4765	672	1	the	the	DET
ejpam-4765	672	2	results	result	NOUN
ejpam-4765	672	3	show	show	VERB
ejpam-4765	672	4	that	that	SCONJ
ejpam-4765	672	5	,	,	PUNCT
ejpam-4765	672	6	the	the	DET
ejpam-4765	672	7	reduced	reduce	VERB
ejpam-4765	672	8	bias	bias	NOUN
ejpam-4765	672	9	estimator	estimator	NOUN
ejpam-4765	672	10	is	be	AUX
ejpam-4765	672	11	more	more	ADV
ejpam-4765	672	12	efficient	efficient	ADJ
ejpam-4765	672	13	than	than	ADP
ejpam-4765	672	14	alternative	alternative	ADJ
ejpam-4765	672	15	estimators	estimator	NOUN
ejpam-4765	672	16	regardless	regardless	ADV
ejpam-4765	672	17	to	to	ADP
ejpam-4765	672	18	the	the	DET
ejpam-4765	672	19	absolute	absolute	ADJ
ejpam-4765	672	20	bias	bias	NOUN
ejpam-4765	672	21	,	,	PUNCT
ejpam-4765	672	22	the	the	DET
ejpam-4765	672	23	median	median	NOUN
ejpam-4765	672	24	squared	square	VERB
ejpam-4765	672	25	errors	error	NOUN
ejpam-4765	672	26	and	and	CCONJ
ejpam-4765	672	27	the	the	DET
ejpam-4765	672	28	coverage	coverage	NOUN
ejpam-4765	672	29	.	.	PUNCT
ejpam-4765	673	1	an	an	DET
ejpam-4765	673	2	important	important	ADJ
ejpam-4765	673	3	feature	feature	NOUN
ejpam-4765	673	4	expected	expect	VERB
ejpam-4765	673	5	in	in	ADP
ejpam-4765	673	6	this	this	DET
ejpam-4765	673	7	type	type	NOUN
ejpam-4765	673	8	of	of	ADP
ejpam-4765	673	9	of	of	ADP
ejpam-4765	673	10	bias	bias	NOUN
ejpam-4765	673	11	reduction	reduction	NOUN
ejpam-4765	673	12	approach	approach	NOUN
ejpam-4765	673	13	to	to	PART
ejpam-4765	673	14	be	be	AUX
ejpam-4765	673	15	applicable	applicable	ADJ
ejpam-4765	673	16	in	in	ADP
ejpam-4765	673	17	practice	practice	NOUN
ejpam-4765	673	18	.	.	PUNCT
ejpam-4765	674	1	in	in	ADP
ejpam-4765	674	2	application	application	NOUN
ejpam-4765	674	3	,	,	PUNCT
ejpam-4765	674	4	the	the	DET
ejpam-4765	674	5	unbiased	unbiased	ADJ
ejpam-4765	674	6	estimator	estimator	NOUN
ejpam-4765	674	7	can	can	AUX
ejpam-4765	674	8	be	be	AUX
ejpam-4765	674	9	proposed	propose	VERB
ejpam-4765	674	10	to	to	ADP
ejpam-4765	674	11	any	any	DET
ejpam-4765	674	12	heavy	heavy	ADJ
ejpam-4765	674	13	-	-	PUNCT
ejpam-4765	674	14	tailed	tail	VERB
ejpam-4765	674	15	income	income	NOUN
ejpam-4765	674	16	distributions	distribution	NOUN
ejpam-4765	674	17	for	for	ADP
ejpam-4765	674	18	which	which	PRON
ejpam-4765	674	19	qsr	qsr	NOUN
ejpam-4765	674	20	index	index	NOUN
ejpam-4765	674	21	needs	need	VERB
ejpam-4765	674	22	to	to	PART
ejpam-4765	674	23	be	be	AUX
ejpam-4765	674	24	calculated	calculate	VERB
ejpam-4765	674	25	.	.	PUNCT
ejpam-4765	675	1	acknowledgements	acknowledgement	NOUN
ejpam-4765	675	2	the	the	DET
ejpam-4765	675	3	authors	author	NOUN
ejpam-4765	675	4	would	would	AUX
ejpam-4765	675	5	like	like	VERB
ejpam-4765	675	6	to	to	PART
ejpam-4765	675	7	thank	thank	VERB
ejpam-4765	675	8	thank	thank	VERB
ejpam-4765	675	9	the	the	DET
ejpam-4765	675	10	reviewers	reviewer	NOUN
ejpam-4765	675	11	and	and	CCONJ
ejpam-4765	675	12	editors	editor	NOUN
ejpam-4765	675	13	for	for	SCONJ
ejpam-4765	675	14	their	their	PRON
ejpam-4765	675	15	valuable	valuable	ADJ
ejpam-4765	675	16	comments	comment	NOUN
ejpam-4765	675	17	and	and	CCONJ
ejpam-4765	675	18	suggestions	suggestion	NOUN
ejpam-4765	675	19	that	that	PRON
ejpam-4765	675	20	helped	helped	AUX
ejpam-4765	675	21	improve	improve	VERB
ejpam-4765	675	22	considerably	considerably	ADV
ejpam-4765	675	23	the	the	DET
ejpam-4765	675	24	paper	paper	NOUN
ejpam-4765	675	25	.	.	PUNCT
ejpam-4765	676	1	references	reference	NOUN
ejpam-4765	676	2	[	[	X
ejpam-4765	676	3	1	1	NUM
ejpam-4765	676	4	]	]	PUNCT
ejpam-4765	676	5	andrew	andrew	PROPN
ejpam-4765	676	6	b.	b.	PROPN
ejpam-4765	676	7	abel	abel	PROPN
ejpam-4765	676	8	.	.	PUNCT
ejpam-4765	677	1	optimal	optimal	ADJ
ejpam-4765	677	2	capital	capital	NOUN
ejpam-4765	677	3	income	income	NOUN
ejpam-4765	677	4	taxation	taxation	NOUN
ejpam-4765	677	5	.	.	PUNCT
ejpam-4765	678	1	technical	technical	ADJ
ejpam-4765	678	2	report	report	PROPN
ejpam-4765	678	3	13354	13354	NUM
ejpam-4765	678	4	,	,	PUNCT
ejpam-4765	678	5	national	national	ADJ
ejpam-4765	678	6	bureau	bureau	PROPN
ejpam-4765	678	7	of	of	ADP
ejpam-4765	678	8	economic	economic	ADJ
ejpam-4765	678	9	research	research	NOUN
ejpam-4765	678	10	,	,	PUNCT
ejpam-4765	678	11	2007	2007	NUM
ejpam-4765	678	12	.	.	PUNCT
ejpam-4765	679	1	[	[	X
ejpam-4765	679	2	2	2	NUM
ejpam-4765	679	3	]	]	X
ejpam-4765	679	4	ahmed	ahmed	PROPN
ejpam-4765	679	5	bari	bari	PROPN
ejpam-4765	679	6	,	,	PUNCT
ejpam-4765	679	7	adnene	adnene	NOUN
ejpam-4765	679	8	rassoul	rassoul	ADJ
ejpam-4765	679	9	,	,	PUNCT
ejpam-4765	679	10	and	and	CCONJ
ejpam-4765	679	11	hatem	hatem	PROPN
ejpam-4765	679	12	ouarda	ouarda	PROPN
ejpam-4765	679	13	rouis	rouis	PROPN
ejpam-4765	679	14	.	.	PUNCT
ejpam-4765	680	1	estimating	estimate	VERB
ejpam-4765	680	2	the	the	DET
ejpam-4765	680	3	gini	gini	PROPN
ejpam-4765	680	4	index	index	NOUN
ejpam-4765	680	5	for	for	ADP
ejpam-4765	680	6	heavytailed	heavytailed	ADJ
ejpam-4765	680	7	distributions	distribution	NOUN
ejpam-4765	680	8	.	.	PUNCT
ejpam-4765	681	1	south	south	ADJ
ejpam-4765	681	2	african	african	ADJ
ejpam-4765	681	3	statistical	statistical	ADJ
ejpam-4765	681	4	journal	journal	NOUN
ejpam-4765	681	5	,	,	PUNCT
ejpam-4765	681	6	55(1):15–28	55(1):15–28	NUM
ejpam-4765	681	7	,	,	PUNCT
ejpam-4765	681	8	2021	2021	NUM
ejpam-4765	681	9	.	.	PUNCT
ejpam-4765	682	1	[	[	X
ejpam-4765	682	2	3	3	NUM
ejpam-4765	682	3	]	]	PUNCT
ejpam-4765	682	4	jan	jan	PROPN
ejpam-4765	682	5	beirlant	beirlant	PROPN
ejpam-4765	682	6	,	,	PUNCT
ejpam-4765	682	7	goedele	goedele	PROPN
ejpam-4765	682	8	dierckx	dierckx	PROPN
ejpam-4765	682	9	,	,	PUNCT
ejpam-4765	682	10	yuri	yuri	PROPN
ejpam-4765	682	11	goegebeur	goegebeur	PROPN
ejpam-4765	682	12	,	,	PUNCT
ejpam-4765	682	13	and	and	CCONJ
ejpam-4765	682	14	gert	gert	PROPN
ejpam-4765	682	15	matthys	matthy	NOUN
ejpam-4765	682	16	.	.	PUNCT
ejpam-4765	683	1	tail	tail	NOUN
ejpam-4765	683	2	index	index	NOUN
ejpam-4765	683	3	estimation	estimation	NOUN
ejpam-4765	683	4	and	and	CCONJ
ejpam-4765	683	5	an	an	DET
ejpam-4765	683	6	exponential	exponential	ADJ
ejpam-4765	683	7	regression	regression	NOUN
ejpam-4765	683	8	model	model	NOUN
ejpam-4765	683	9	.	.	PUNCT
ejpam-4765	684	1	extremes	extreme	NOUN
ejpam-4765	684	2	,	,	PUNCT
ejpam-4765	684	3	2(2):177–200	2(2):177–200	NUM
ejpam-4765	684	4	,	,	PUNCT
ejpam-4765	684	5	1999	1999	NUM
ejpam-4765	684	6	.	.	PUNCT
ejpam-4765	685	1	[	[	X
ejpam-4765	685	2	4	4	NUM
ejpam-4765	685	3	]	]	PUNCT
ejpam-4765	685	4	jan	jan	PROPN
ejpam-4765	685	5	beirlant	beirlant	PROPN
ejpam-4765	685	6	,	,	PUNCT
ejpam-4765	685	7	goedele	goedele	PROPN
ejpam-4765	685	8	dierckx	dierckx	PROPN
ejpam-4765	685	9	,	,	PUNCT
ejpam-4765	685	10	armelle	armelle	PROPN
ejpam-4765	685	11	guillou	guillou	PROPN
ejpam-4765	685	12	,	,	PUNCT
ejpam-4765	685	13	and	and	CCONJ
ejpam-4765	685	14	catalin	catalin	PROPN
ejpam-4765	685	15	starica	starica	PROPN
ejpam-4765	685	16	.	.	PUNCT
ejpam-4765	686	1	on	on	ADP
ejpam-4765	686	2	exponential	exponential	ADJ
ejpam-4765	686	3	representations	representation	NOUN
ejpam-4765	686	4	of	of	ADP
ejpam-4765	686	5	log	log	NOUN
ejpam-4765	686	6	-	-	PUNCT
ejpam-4765	686	7	spacings	spacing	NOUN
ejpam-4765	686	8	of	of	ADP
ejpam-4765	686	9	extreme	extreme	ADJ
ejpam-4765	686	10	order	order	NOUN
ejpam-4765	686	11	statistics	statistic	NOUN
ejpam-4765	686	12	.	.	PUNCT
ejpam-4765	687	1	extremes	extreme	NOUN
ejpam-4765	687	2	,	,	PUNCT
ejpam-4765	687	3	5(2):157–180	5(2):157–180	NUM
ejpam-4765	687	4	,	,	PUNCT
ejpam-4765	687	5	2002	2002	NUM
ejpam-4765	687	6	.	.	PUNCT
ejpam-4765	688	1	references	reference	NOUN
ejpam-4765	688	2	2541	2541	NUM
ejpam-4765	689	1	[	[	X
ejpam-4765	689	2	5	5	NUM
ejpam-4765	689	3	]	]	PUNCT
ejpam-4765	689	4	n.	n.	PROPN
ejpam-4765	689	5	h.	h.	PROPN
ejpam-4765	689	6	bingham	bingham	PROPN
ejpam-4765	689	7	,	,	PUNCT
ejpam-4765	689	8	c.m	c.m	PROPN
ejpam-4765	689	9	.	.	PROPN
ejpam-4765	689	10	goldie	goldie	PROPN
ejpam-4765	689	11	,	,	PUNCT
ejpam-4765	689	12	and	and	CCONJ
ejpam-4765	689	13	j.l	j.l	PROPN
ejpam-4765	689	14	.	.	PROPN
ejpam-4765	689	15	teugels	teugel	NOUN
ejpam-4765	689	16	.	.	PUNCT
ejpam-4765	690	1	regular	regular	ADJ
ejpam-4765	690	2	variation	variation	NOUN
ejpam-4765	690	3	.	.	PUNCT
ejpam-4765	691	1	cambridge	cambridge	PROPN
ejpam-4765	691	2	university	university	PROPN
ejpam-4765	691	3	press	press	NOUN
ejpam-4765	691	4	,	,	PUNCT
ejpam-4765	691	5	1987	1987	NUM
ejpam-4765	691	6	.	.	PUNCT
ejpam-4765	692	1	[	[	X
ejpam-4765	692	2	6	6	NUM
ejpam-4765	692	3	]	]	PUNCT
ejpam-4765	692	4	christophe	christophe	PROPN
ejpam-4765	692	5	chamley	chamley	PROPN
ejpam-4765	692	6	.	.	PUNCT
ejpam-4765	693	1	optimal	optimal	ADJ
ejpam-4765	693	2	taxation	taxation	NOUN
ejpam-4765	693	3	of	of	ADP
ejpam-4765	693	4	capital	capital	NOUN
ejpam-4765	693	5	income	income	NOUN
ejpam-4765	693	6	in	in	ADP
ejpam-4765	693	7	general	general	ADJ
ejpam-4765	693	8	equilibrium	equilibrium	NOUN
ejpam-4765	693	9	with	with	ADP
ejpam-4765	693	10	infinite	infinite	ADJ
ejpam-4765	693	11	lives	life	NOUN
ejpam-4765	693	12	.	.	PUNCT
ejpam-4765	694	1	econometrica	econometrica	PROPN
ejpam-4765	694	2	,	,	PUNCT
ejpam-4765	694	3	54(3):607–622	54(3):607–622	NUM
ejpam-4765	694	4	,	,	PUNCT
ejpam-4765	694	5	1986	1986	NUM
ejpam-4765	694	6	.	.	PUNCT
ejpam-4765	695	1	[	[	X
ejpam-4765	695	2	7	7	X
ejpam-4765	695	3	]	]	PUNCT
ejpam-4765	695	4	alex	alex	PROPN
ejpam-4765	695	5	cobham	cobham	PROPN
ejpam-4765	695	6	and	and	CCONJ
ejpam-4765	695	7	andy	andy	PROPN
ejpam-4765	695	8	sumner	sumner	PROPN
ejpam-4765	695	9	.	.	PUNCT
ejpam-4765	695	10	is	be	AUX
ejpam-4765	695	11	it	it	PRON
ejpam-4765	695	12	all	all	PRON
ejpam-4765	695	13	about	about	ADP
ejpam-4765	695	14	the	the	DET
ejpam-4765	695	15	tails	tail	NOUN
ejpam-4765	695	16	?	?	PUNCT
ejpam-4765	696	1	the	the	DET
ejpam-4765	696	2	palma	palma	PROPN
ejpam-4765	696	3	measure	measure	NOUN
ejpam-4765	696	4	of	of	ADP
ejpam-4765	696	5	income	income	NOUN
ejpam-4765	696	6	inequality	inequality	NOUN
ejpam-4765	696	7	.	.	PUNCT
ejpam-4765	697	1	available	available	ADJ
ejpam-4765	697	2	at	at	ADP
ejpam-4765	697	3	the	the	DET
ejpam-4765	697	4	address	address	NOUN
ejpam-4765	697	5	http://www.ecineq.org/milano/wp/ecineq2013-308.pdf	http://www.ecineq.org/milano/wp/ecineq2013-308.pdf	PROPN
ejpam-4765	697	6	,	,	PUNCT
ejpam-4765	697	7	2013	2013	NUM
ejpam-4765	697	8	.	.	PUNCT
ejpam-4765	698	1	[	[	X
ejpam-4765	698	2	8	8	NUM
ejpam-4765	698	3	]	]	X
ejpam-4765	698	4	m.	m.	NOUN
ejpam-4765	698	5	csörgö	csörgö	PROPN
ejpam-4765	698	6	,	,	PUNCT
ejpam-4765	698	7	s.	s.	PROPN
ejpam-4765	698	8	csörgö	csörgö	PROPN
ejpam-4765	698	9	,	,	PUNCT
ejpam-4765	698	10	l.	l.	PROPN
ejpam-4765	698	11	horváth	horváth	PROPN
ejpam-4765	698	12	,	,	PUNCT
ejpam-4765	698	13	and	and	CCONJ
ejpam-4765	698	14	d.m	d.m	PROPN
ejpam-4765	698	15	.	.	PROPN
ejpam-4765	698	16	mason	mason	PROPN
ejpam-4765	698	17	.	.	PROPN
ejpam-4765	698	18	weighted	weight	VERB
ejpam-4765	698	19	empirical	empirical	ADJ
ejpam-4765	698	20	and	and	CCONJ
ejpam-4765	698	21	quantile	quantile	ADJ
ejpam-4765	698	22	processes	process	NOUN
ejpam-4765	698	23	.	.	PUNCT
ejpam-4765	699	1	annals	annal	NOUN
ejpam-4765	699	2	of	of	ADP
ejpam-4765	699	3	probability	probability	NOUN
ejpam-4765	699	4	,	,	PUNCT
ejpam-4765	699	5	14(1):31–85	14(1):31–85	NUM
ejpam-4765	699	6	,	,	PUNCT
ejpam-4765	699	7	1986	1986	NUM
ejpam-4765	699	8	.	.	PUNCT
ejpam-4765	700	1	[	[	X
ejpam-4765	700	2	9	9	NUM
ejpam-4765	700	3	]	]	PUNCT
ejpam-4765	700	4	s.	s.	PROPN
ejpam-4765	700	5	csörgő	csörgő	PROPN
ejpam-4765	700	6	,	,	PUNCT
ejpam-4765	700	7	p.	p.	NOUN
ejpam-4765	700	8	deheuvels	deheuvel	NOUN
ejpam-4765	700	9	,	,	PUNCT
ejpam-4765	700	10	and	and	CCONJ
ejpam-4765	700	11	d.m	d.m	PROPN
ejpam-4765	700	12	.	.	PROPN
ejpam-4765	700	13	mason	mason	PROPN
ejpam-4765	700	14	.	.	PUNCT
ejpam-4765	701	1	kernel	kernel	PROPN
ejpam-4765	701	2	estimates	estimate	NOUN
ejpam-4765	701	3	of	of	ADP
ejpam-4765	701	4	the	the	DET
ejpam-4765	701	5	tail	tail	NOUN
ejpam-4765	701	6	index	index	NOUN
ejpam-4765	701	7	of	of	ADP
ejpam-4765	701	8	a	a	DET
ejpam-4765	701	9	distribution	distribution	NOUN
ejpam-4765	701	10	.	.	PUNCT
ejpam-4765	702	1	annals	annal	NOUN
ejpam-4765	702	2	of	of	ADP
ejpam-4765	702	3	statistics	statistic	NOUN
ejpam-4765	702	4	,	,	PUNCT
ejpam-4765	702	5	13(3):1050–1077	13(3):1050–1077	PROPN
ejpam-4765	702	6	,	,	PUNCT
ejpam-4765	702	7	1985	1985	NUM
ejpam-4765	702	8	.	.	PUNCT
ejpam-4765	703	1	[	[	X
ejpam-4765	703	2	10	10	NUM
ejpam-4765	703	3	]	]	X
ejpam-4765	703	4	l.	l.	PROPN
ejpam-4765	703	5	de	de	PROPN
ejpam-4765	703	6	haan	haan	PROPN
ejpam-4765	703	7	and	and	CCONJ
ejpam-4765	703	8	a.	a.	PROPN
ejpam-4765	703	9	ferreira	ferreira	PROPN
ejpam-4765	703	10	.	.	PUNCT
ejpam-4765	704	1	extreme	extreme	ADJ
ejpam-4765	704	2	value	value	NOUN
ejpam-4765	704	3	theory	theory	NOUN
ejpam-4765	704	4	:	:	PUNCT
ejpam-4765	704	5	an	an	DET
ejpam-4765	704	6	introduction	introduction	NOUN
ejpam-4765	704	7	.	.	PUNCT
ejpam-4765	705	1	springer	springer	NOUN
ejpam-4765	705	2	,	,	PUNCT
ejpam-4765	705	3	2006	2006	NUM
ejpam-4765	705	4	.	.	PUNCT
ejpam-4765	706	1	[	[	X
ejpam-4765	706	2	11	11	NUM
ejpam-4765	706	3	]	]	PUNCT
ejpam-4765	706	4	e.	e.	PROPN
ejpam-4765	706	5	h.	h.	PROPN
ejpam-4765	706	6	deme	deme	PROPN
ejpam-4765	706	7	,	,	PUNCT
ejpam-4765	706	8	m.	m.	PROPN
ejpam-4765	706	9	allaya	allaya	PROPN
ejpam-4765	706	10	,	,	PUNCT
ejpam-4765	706	11	s.	s.	PROPN
ejpam-4765	706	12	deme	deme	PROPN
ejpam-4765	706	13	,	,	PUNCT
ejpam-4765	706	14	a.	a.	NOUN
ejpam-4765	706	15	dhaker	dhaker	NOUN
ejpam-4765	706	16	,	,	PUNCT
ejpam-4765	706	17	and	and	CCONJ
ejpam-4765	706	18	a.s	a.s	PROPN
ejpam-4765	706	19	.	.	PROPN
ejpam-4765	706	20	dabye	dabye	PROPN
ejpam-4765	706	21	.	.	PUNCT
ejpam-4765	707	1	estimation	estimation	NOUN
ejpam-4765	707	2	of	of	ADP
ejpam-4765	707	3	risk	risk	NOUN
ejpam-4765	707	4	measures	measure	NOUN
ejpam-4765	707	5	from	from	ADP
ejpam-4765	707	6	heavy	heavy	ADJ
ejpam-4765	707	7	-	-	PUNCT
ejpam-4765	707	8	tailed	tail	VERB
ejpam-4765	707	9	distributions	distribution	NOUN
ejpam-4765	707	10	.	.	PUNCT
ejpam-4765	708	1	east	east	PROPN
ejpam-4765	708	2	journal	journal	PROPN
ejpam-4765	708	3	of	of	ADP
ejpam-4765	708	4	theoretical	theoretical	ADJ
ejpam-4765	708	5	statistics	statistic	NOUN
ejpam-4765	708	6	,	,	PUNCT
ejpam-4765	708	7	62(1):35–80	62(1):35–80	NOUN
ejpam-4765	708	8	,	,	PUNCT
ejpam-4765	708	9	2021	2021	NUM
ejpam-4765	708	10	.	.	PUNCT
ejpam-4765	709	1	[	[	X
ejpam-4765	709	2	12	12	NUM
ejpam-4765	709	3	]	]	PUNCT
ejpam-4765	709	4	e.	e.	PROPN
ejpam-4765	709	5	h.	h.	PROPN
ejpam-4765	709	6	deme	deme	PROPN
ejpam-4765	709	7	,	,	PUNCT
ejpam-4765	709	8	l.	l.	PROPN
ejpam-4765	709	9	gardes	gardes	PROPN
ejpam-4765	709	10	,	,	PUNCT
ejpam-4765	709	11	and	and	CCONJ
ejpam-4765	709	12	s.	s.	PROPN
ejpam-4765	709	13	girard	girard	PROPN
ejpam-4765	709	14	.	.	PUNCT
ejpam-4765	710	1	on	on	ADP
ejpam-4765	710	2	the	the	DET
ejpam-4765	710	3	estimation	estimation	NOUN
ejpam-4765	710	4	of	of	ADP
ejpam-4765	710	5	the	the	DET
ejpam-4765	710	6	second	second	ADJ
ejpam-4765	710	7	order	order	NOUN
ejpam-4765	710	8	parameter	parameter	NOUN
ejpam-4765	710	9	for	for	ADP
ejpam-4765	710	10	heavy	heavy	ADJ
ejpam-4765	710	11	-	-	PUNCT
ejpam-4765	710	12	tailed	tail	VERB
ejpam-4765	710	13	distributions	distribution	NOUN
ejpam-4765	710	14	.	.	PUNCT
ejpam-4765	711	1	revstat	revstat	PROPN
ejpam-4765	711	2	statistical	statistical	ADJ
ejpam-4765	711	3	journal	journal	NOUN
ejpam-4765	711	4	,	,	PUNCT
ejpam-4765	711	5	11(3):277–299	11(3):277–299	PROPN
ejpam-4765	711	6	,	,	PUNCT
ejpam-4765	711	7	2013	2013	NUM
ejpam-4765	711	8	.	.	PUNCT
ejpam-4765	712	1	[	[	X
ejpam-4765	712	2	13	13	NUM
ejpam-4765	712	3	]	]	X
ejpam-4765	712	4	e.	e.	PROPN
ejpam-4765	712	5	h.	h.	PROPN
ejpam-4765	712	6	deme	deme	PROPN
ejpam-4765	712	7	,	,	PUNCT
ejpam-4765	712	8	s.	s.	PROPN
ejpam-4765	712	9	girard	girard	PROPN
ejpam-4765	712	10	,	,	PUNCT
ejpam-4765	712	11	and	and	CCONJ
ejpam-4765	712	12	a.	a.	NOUN
ejpam-4765	712	13	guillou	guillou	PROPN
ejpam-4765	712	14	.	.	PUNCT
ejpam-4765	713	1	reduced	reduce	VERB
ejpam-4765	713	2	-	-	PUNCT
ejpam-4765	713	3	bias	bias	NOUN
ejpam-4765	713	4	estimator	estimator	NOUN
ejpam-4765	713	5	of	of	ADP
ejpam-4765	713	6	the	the	DET
ejpam-4765	713	7	proportional	proportional	ADJ
ejpam-4765	713	8	hazard	hazard	NOUN
ejpam-4765	713	9	premium	premium	NOUN
ejpam-4765	713	10	for	for	ADP
ejpam-4765	713	11	heavy	heavy	ADJ
ejpam-4765	713	12	-	-	PUNCT
ejpam-4765	713	13	tailed	tail	VERB
ejpam-4765	713	14	distributions	distribution	NOUN
ejpam-4765	713	15	.	.	PUNCT
ejpam-4765	714	1	insurance	insurance	NOUN
ejpam-4765	714	2	mathematics	mathematics	PROPN
ejpam-4765	714	3	&	&	CCONJ
ejpam-4765	714	4	economics	economic	NOUN
ejpam-4765	714	5	,	,	PUNCT
ejpam-4765	714	6	52(3):550–559	52(3):550–559	NUM
ejpam-4765	714	7	,	,	PUNCT
ejpam-4765	714	8	2013	2013	NUM
ejpam-4765	714	9	.	.	PUNCT
ejpam-4765	715	1	[	[	X
ejpam-4765	715	2	14	14	NUM
ejpam-4765	715	3	]	]	X
ejpam-4765	715	4	e.	e.	PROPN
ejpam-4765	715	5	h.	h.	PROPN
ejpam-4765	715	6	deme	deme	PROPN
ejpam-4765	715	7	,	,	PUNCT
ejpam-4765	715	8	s.	s.	PROPN
ejpam-4765	715	9	girard	girard	PROPN
ejpam-4765	715	10	,	,	PUNCT
ejpam-4765	715	11	and	and	CCONJ
ejpam-4765	715	12	a.	a.	NOUN
ejpam-4765	715	13	guillou	guillou	PROPN
ejpam-4765	715	14	.	.	PUNCT
ejpam-4765	716	1	reduced	reduce	VERB
ejpam-4765	716	2	-	-	PUNCT
ejpam-4765	716	3	biased	bias	VERB
ejpam-4765	716	4	estimators	estimator	NOUN
ejpam-4765	716	5	of	of	ADP
ejpam-4765	716	6	the	the	DET
ejpam-4765	716	7	conditional	conditional	ADJ
ejpam-4765	716	8	tail	tail	NOUN
ejpam-4765	716	9	expectation	expectation	NOUN
ejpam-4765	716	10	for	for	ADP
ejpam-4765	716	11	heavy	heavy	ADJ
ejpam-4765	716	12	-	-	PUNCT
ejpam-4765	716	13	tailed	tail	VERB
ejpam-4765	716	14	distributions	distribution	NOUN
ejpam-4765	716	15	.	.	PUNCT
ejpam-4765	717	1	in	in	ADP
ejpam-4765	717	2	mathematical	mathematical	ADJ
ejpam-4765	717	3	statistics	statistic	NOUN
ejpam-4765	717	4	and	and	CCONJ
ejpam-4765	717	5	limit	limit	VERB
ejpam-4765	717	6	theorems	theorem	NOUN
ejpam-4765	717	7	,	,	PUNCT
ejpam-4765	717	8	pages	page	NOUN
ejpam-4765	717	9	105–123	105–123	NUM
ejpam-4765	717	10	.	.	PUNCT
ejpam-4765	717	11	springer	springer	NOUN
ejpam-4765	717	12	,	,	PUNCT
ejpam-4765	717	13	2015	2015	NUM
ejpam-4765	717	14	.	.	PUNCT
ejpam-4765	718	1	[	[	X
ejpam-4765	718	2	15	15	NUM
ejpam-4765	718	3	]	]	X
ejpam-4765	718	4	e.h	e.h	PROPN
ejpam-4765	718	5	.	.	PROPN
ejpam-4765	718	6	deme	deme	PROPN
ejpam-4765	718	7	,	,	PUNCT
ejpam-4765	718	8	t.	t.	NOUN
ejpam-4765	718	9	kpanzou	kpanzou	PROPN
ejpam-4765	718	10	,	,	PUNCT
ejpam-4765	718	11	and	and	CCONJ
ejpam-4765	718	12	e.	e.	PROPN
ejpam-4765	718	13	sisawo	sisawo	PROPN
ejpam-4765	718	14	.	.	PUNCT
ejpam-4765	719	1	semi	semi	ADJ
ejpam-4765	719	2	-	-	ADJ
ejpam-4765	719	3	parametric	parametric	ADJ
ejpam-4765	719	4	estimation	estimation	NOUN
ejpam-4765	719	5	of	of	ADP
ejpam-4765	719	6	the	the	DET
ejpam-4765	719	7	quintile	quintile	NOUN
ejpam-4765	719	8	share	share	PROPN
ejpam-4765	719	9	ratio	ratio	NOUN
ejpam-4765	719	10	index	index	NOUN
ejpam-4765	719	11	of	of	ADP
ejpam-4765	719	12	inequality	inequality	NOUN
ejpam-4765	719	13	measure	measure	NOUN
ejpam-4765	719	14	for	for	ADP
ejpam-4765	719	15	heavy	heavy	ADJ
ejpam-4765	719	16	-	-	PUNCT
ejpam-4765	719	17	tailed	tail	VERB
ejpam-4765	719	18	income	income	NOUN
ejpam-4765	719	19	distributions	distribution	NOUN
ejpam-4765	719	20	with	with	ADP
ejpam-4765	719	21	index	index	NOUN
ejpam-4765	719	22	in	in	ADP
ejpam-4765	719	23	the	the	DET
ejpam-4765	719	24	upper	upper	ADJ
ejpam-4765	719	25	half	half	NOUN
ejpam-4765	719	26	of	of	ADP
ejpam-4765	719	27	the	the	DET
ejpam-4765	719	28	unit	unit	NOUN
ejpam-4765	719	29	interval	interval	NOUN
ejpam-4765	719	30	.	.	PUNCT
ejpam-4765	720	1	afrika	afrika	PROPN
ejpam-4765	720	2	statistika	statistika	PROPN
ejpam-4765	720	3	,	,	PUNCT
ejpam-4765	720	4	17(1):3095–3114	17(1):3095–3114	NUM
ejpam-4765	720	5	,	,	PUNCT
ejpam-4765	720	6	2022	2022	NUM
ejpam-4765	720	7	.	.	PUNCT
ejpam-4765	721	1	[	[	X
ejpam-4765	721	2	16	16	NUM
ejpam-4765	721	3	]	]	X
ejpam-4765	721	4	andrey	andrey	PROPN
ejpam-4765	721	5	feuerverger	feuerverger	PROPN
ejpam-4765	721	6	and	and	CCONJ
ejpam-4765	721	7	peter	peter	PROPN
ejpam-4765	721	8	hall	hall	PROPN
ejpam-4765	721	9	.	.	PUNCT
ejpam-4765	722	1	estimating	estimate	VERB
ejpam-4765	722	2	a	a	DET
ejpam-4765	722	3	tail	tail	NOUN
ejpam-4765	722	4	exponent	exponent	NOUN
ejpam-4765	722	5	by	by	ADP
ejpam-4765	722	6	modelling	model	VERB
ejpam-4765	722	7	departure	departure	NOUN
ejpam-4765	722	8	from	from	ADP
ejpam-4765	722	9	a	a	DET
ejpam-4765	722	10	pareto	pareto	ADJ
ejpam-4765	722	11	distribution	distribution	NOUN
ejpam-4765	722	12	.	.	PUNCT
ejpam-4765	723	1	annals	annal	NOUN
ejpam-4765	723	2	of	of	ADP
ejpam-4765	723	3	statistics	statistic	NOUN
ejpam-4765	723	4	,	,	PUNCT
ejpam-4765	723	5	27(2):760–781	27(2):760–781	NUM
ejpam-4765	723	6	,	,	PUNCT
ejpam-4765	723	7	1999	1999	NUM
ejpam-4765	723	8	.	.	PUNCT
ejpam-4765	724	1	[	[	X
ejpam-4765	724	2	17	17	NUM
ejpam-4765	724	3	]	]	PUNCT
ejpam-4765	724	4	anna	anna	PROPN
ejpam-4765	724	5	fräßdorf	fräßdorf	PROPN
ejpam-4765	724	6	,	,	PUNCT
ejpam-4765	724	7	markus	markus	PROPN
ejpam-4765	724	8	m.	m.	NOUN
ejpam-4765	724	9	grabka	grabka	PROPN
ejpam-4765	724	10	,	,	PUNCT
ejpam-4765	724	11	and	and	CCONJ
ejpam-4765	724	12	johannes	johannes	PROPN
ejpam-4765	724	13	schwarze	schwarze	PROPN
ejpam-4765	724	14	.	.	PUNCT
ejpam-4765	725	1	the	the	DET
ejpam-4765	725	2	impact	impact	NOUN
ejpam-4765	725	3	of	of	ADP
ejpam-4765	725	4	household	household	NOUN
ejpam-4765	725	5	capital	capital	NOUN
ejpam-4765	725	6	income	income	NOUN
ejpam-4765	725	7	on	on	ADP
ejpam-4765	725	8	income	income	NOUN
ejpam-4765	725	9	inequality	inequality	NOUN
ejpam-4765	725	10	:	:	PUNCT
ejpam-4765	725	11	a	a	DET
ejpam-4765	725	12	factor	factor	NOUN
ejpam-4765	725	13	decomposition	decomposition	NOUN
ejpam-4765	725	14	analysis	analysis	NOUN
ejpam-4765	725	15	for	for	ADP
ejpam-4765	725	16	the	the	DET
ejpam-4765	725	17	uk	uk	PROPN
ejpam-4765	725	18	,	,	PUNCT
ejpam-4765	725	19	germany	germany	PROPN
ejpam-4765	725	20	and	and	CCONJ
ejpam-4765	725	21	the	the	DET
ejpam-4765	725	22	usa	usa	PROPN
ejpam-4765	725	23	.	.	PROPN
ejpam-4765	725	24	journal	journal	PROPN
ejpam-4765	725	25	of	of	ADP
ejpam-4765	725	26	economic	economic	ADJ
ejpam-4765	725	27	inequality	inequality	NOUN
ejpam-4765	725	28	,	,	PUNCT
ejpam-4765	725	29	9(1):35–56	9(1):35–56	NUM
ejpam-4765	725	30	,	,	PUNCT
ejpam-4765	725	31	2011	2011	NUM
ejpam-4765	725	32	.	.	PUNCT
ejpam-4765	726	1	[	[	X
ejpam-4765	726	2	18	18	NUM
ejpam-4765	726	3	]	]	PUNCT
ejpam-4765	726	4	jan	jan	PROPN
ejpam-4765	726	5	l.	l.	PROPN
ejpam-4765	726	6	geluk	geluk	PROPN
ejpam-4765	726	7	and	and	CCONJ
ejpam-4765	726	8	laurens	laurens	PROPN
ejpam-4765	726	9	de	de	PROPN
ejpam-4765	726	10	haan	haan	PROPN
ejpam-4765	726	11	.	.	PUNCT
ejpam-4765	727	1	regular	regular	ADJ
ejpam-4765	727	2	variation	variation	NOUN
ejpam-4765	727	3	,	,	PUNCT
ejpam-4765	727	4	extensions	extension	NOUN
ejpam-4765	727	5	and	and	CCONJ
ejpam-4765	727	6	tauberian	tauberian	ADJ
ejpam-4765	727	7	theorems	theorem	NOUN
ejpam-4765	727	8	.	.	PUNCT
ejpam-4765	727	9	number	number	NOUN
ejpam-4765	727	10	40	40	NUM
ejpam-4765	727	11	in	in	ADP
ejpam-4765	727	12	cwi	cwi	NOUN
ejpam-4765	727	13	tract	tract	NOUN
ejpam-4765	727	14	.	.	PUNCT
ejpam-4765	728	1	center	center	NOUN
ejpam-4765	728	2	for	for	ADP
ejpam-4765	728	3	mathematics	mathematics	NOUN
ejpam-4765	728	4	and	and	CCONJ
ejpam-4765	728	5	computer	computer	NOUN
ejpam-4765	728	6	science	science	NOUN
ejpam-4765	728	7	,	,	PUNCT
ejpam-4765	728	8	amsterdam	amsterdam	PROPN
ejpam-4765	728	9	,	,	PUNCT
ejpam-4765	728	10	the	the	DET
ejpam-4765	728	11	netherlands	netherlands	PROPN
ejpam-4765	728	12	,	,	PUNCT
ejpam-4765	728	13	1987	1987	NUM
ejpam-4765	728	14	.	.	PUNCT
ejpam-4765	729	1	[	[	X
ejpam-4765	729	2	19	19	NUM
ejpam-4765	729	3	]	]	X
ejpam-4765	729	4	yuri	yuri	PROPN
ejpam-4765	729	5	goegebeur	goegebeur	PROPN
ejpam-4765	729	6	and	and	CCONJ
ejpam-4765	729	7	guillou	guillou	PROPN
ejpam-4765	729	8	armelle	armelle	X
ejpam-4765	729	9	.	.	PUNCT
ejpam-4765	730	1	asymptotically	asymptotically	ADV
ejpam-4765	730	2	unbiased	unbiased	ADJ
ejpam-4765	730	3	estimation	estimation	NOUN
ejpam-4765	730	4	of	of	ADP
ejpam-4765	730	5	the	the	DET
ejpam-4765	730	6	coefficient	coefficient	NOUN
ejpam-4765	730	7	of	of	ADP
ejpam-4765	730	8	tail	tail	NOUN
ejpam-4765	730	9	dependence	dependence	NOUN
ejpam-4765	730	10	.	.	PUNCT
ejpam-4765	731	1	scandinavian	scandinavian	ADJ
ejpam-4765	731	2	journal	journal	PROPN
ejpam-4765	731	3	of	of	ADP
ejpam-4765	731	4	statistics	statistic	NOUN
ejpam-4765	731	5	,	,	PUNCT
ejpam-4765	731	6	40:174–189	40:174–189	PROPN
ejpam-4765	731	7	,	,	PUNCT
ejpam-4765	731	8	2013	2013	NUM
ejpam-4765	731	9	.	.	PUNCT
ejpam-4765	732	1	[	[	X
ejpam-4765	732	2	20	20	NUM
ejpam-4765	732	3	]	]	X
ejpam-4765	732	4	mikhail	mikhail	PROPN
ejpam-4765	732	5	golosov	golosov	PROPN
ejpam-4765	732	6	,	,	PUNCT
ejpam-4765	732	7	narayana	narayana	PROPN
ejpam-4765	732	8	r	r	NOUN
ejpam-4765	732	9	kocherlakota	kocherlakota	NOUN
ejpam-4765	732	10	,	,	PUNCT
ejpam-4765	732	11	and	and	CCONJ
ejpam-4765	732	12	aleh	aleh	NOUN
ejpam-4765	732	13	tsyvinski	tsyvinski	NOUN
ejpam-4765	732	14	.	.	PUNCT
ejpam-4765	733	1	optimal	optimal	ADJ
ejpam-4765	733	2	indirect	indirect	ADJ
ejpam-4765	733	3	and	and	CCONJ
ejpam-4765	733	4	capital	capital	NOUN
ejpam-4765	733	5	taxation	taxation	NOUN
ejpam-4765	733	6	.	.	PUNCT
ejpam-4765	734	1	review	review	NOUN
ejpam-4765	734	2	of	of	ADP
ejpam-4765	734	3	economic	economic	ADJ
ejpam-4765	734	4	studies	study	NOUN
ejpam-4765	734	5	,	,	PUNCT
ejpam-4765	734	6	70(3):569–587	70(3):569–587	PROPN
ejpam-4765	734	7	,	,	PUNCT
ejpam-4765	734	8	2003	2003	NUM
ejpam-4765	734	9	.	.	PUNCT
ejpam-4765	735	1	references	reference	NOUN
ejpam-4765	735	2	2542	2542	NUM
ejpam-4765	735	3	[	[	X
ejpam-4765	735	4	21	21	NUM
ejpam-4765	735	5	]	]	PUNCT
ejpam-4765	735	6	m.	m.	NOUN
ejpam-4765	735	7	ivette	ivette	PROPN
ejpam-4765	735	8	gomes	gomes	PROPN
ejpam-4765	735	9	,	,	PUNCT
ejpam-4765	735	10	francisco	francisco	PROPN
ejpam-4765	735	11	figueiredo	figueiredo	PROPN
ejpam-4765	735	12	,	,	PUNCT
ejpam-4765	735	13	and	and	CCONJ
ejpam-4765	735	14	sandra	sandra	PROPN
ejpam-4765	735	15	mendonca	mendonca	PROPN
ejpam-4765	735	16	.	.	PUNCT
ejpam-4765	736	1	asymptotically	asymptotically	ADV
ejpam-4765	736	2	best	good	ADJ
ejpam-4765	736	3	linear	linear	ADJ
ejpam-4765	736	4	unbiased	unbiased	ADJ
ejpam-4765	736	5	tail	tail	NOUN
ejpam-4765	736	6	estimators	estimator	NOUN
ejpam-4765	736	7	under	under	ADP
ejpam-4765	736	8	a	a	DET
ejpam-4765	736	9	second	second	ADJ
ejpam-4765	736	10	-	-	PUNCT
ejpam-4765	736	11	order	order	NOUN
ejpam-4765	736	12	regular	regular	ADJ
ejpam-4765	736	13	variation	variation	NOUN
ejpam-4765	736	14	condition	condition	NOUN
ejpam-4765	736	15	.	.	PUNCT
ejpam-4765	737	1	journal	journal	NOUN
ejpam-4765	737	2	of	of	ADP
ejpam-4765	737	3	statistical	statistical	ADJ
ejpam-4765	737	4	planning	planning	NOUN
ejpam-4765	737	5	and	and	CCONJ
ejpam-4765	737	6	inference	inference	NOUN
ejpam-4765	737	7	,	,	PUNCT
ejpam-4765	737	8	134(2):409–433	134(2):409–433	NUM
ejpam-4765	737	9	,	,	PUNCT
ejpam-4765	737	10	2005	2005	NUM
ejpam-4765	737	11	.	.	PUNCT
ejpam-4765	738	1	[	[	X
ejpam-4765	738	2	22	22	NUM
ejpam-4765	738	3	]	]	PUNCT
ejpam-4765	738	4	francesca	francesca	PROPN
ejpam-4765	738	5	greselin	greselin	PROPN
ejpam-4765	738	6	and	and	CCONJ
ejpam-4765	738	7	leo	leo	PROPN
ejpam-4765	738	8	pasquazzi	pasquazzi	PROPN
ejpam-4765	738	9	.	.	PUNCT
ejpam-4765	739	1	asymptotic	asymptotic	ADJ
ejpam-4765	739	2	confidence	confidence	NOUN
ejpam-4765	739	3	intervals	interval	NOUN
ejpam-4765	739	4	for	for	ADP
ejpam-4765	739	5	a	a	DET
ejpam-4765	739	6	new	new	ADJ
ejpam-4765	739	7	inequality	inequality	NOUN
ejpam-4765	739	8	measure	measure	NOUN
ejpam-4765	739	9	.	.	PUNCT
ejpam-4765	740	1	communications	communication	NOUN
ejpam-4765	740	2	in	in	ADP
ejpam-4765	740	3	statistics	statistic	NOUN
ejpam-4765	740	4	computational	computational	ADJ
ejpam-4765	740	5	and	and	CCONJ
ejpam-4765	740	6	simulation	simulation	NOUN
ejpam-4765	740	7	,	,	PUNCT
ejpam-4765	740	8	38(1):17–42	38(1):17–42	NUM
ejpam-4765	740	9	,	,	PUNCT
ejpam-4765	740	10	2009	2009	NUM
ejpam-4765	740	11	.	.	PUNCT
ejpam-4765	741	1	[	[	X
ejpam-4765	741	2	23	23	NUM
ejpam-4765	741	3	]	]	PUNCT
ejpam-4765	741	4	francesca	francesca	PROPN
ejpam-4765	741	5	greselin	greselin	PROPN
ejpam-4765	741	6	,	,	PUNCT
ejpam-4765	741	7	leo	leo	PROPN
ejpam-4765	741	8	pasquazzi	pasquazzi	PROPN
ejpam-4765	741	9	,	,	PUNCT
ejpam-4765	741	10	and	and	CCONJ
ejpam-4765	741	11	ricardas	ricardas	ADJ
ejpam-4765	741	12	zitikis	zitiki	NOUN
ejpam-4765	741	13	.	.	PUNCT
ejpam-4765	742	1	zenga	zenga	PROPN
ejpam-4765	742	2	’s	’s	PART
ejpam-4765	742	3	new	new	ADJ
ejpam-4765	742	4	index	index	NOUN
ejpam-4765	742	5	of	of	ADP
ejpam-4765	742	6	economic	economic	ADJ
ejpam-4765	742	7	inequality	inequality	NOUN
ejpam-4765	742	8	,	,	PUNCT
ejpam-4765	742	9	its	its	PRON
ejpam-4765	742	10	estimation	estimation	NOUN
ejpam-4765	742	11	,	,	PUNCT
ejpam-4765	742	12	and	and	CCONJ
ejpam-4765	742	13	an	an	DET
ejpam-4765	742	14	analysis	analysis	NOUN
ejpam-4765	742	15	of	of	ADP
ejpam-4765	742	16	incomes	income	NOUN
ejpam-4765	742	17	in	in	ADP
ejpam-4765	742	18	italy	italy	PROPN
ejpam-4765	742	19	.	.	PUNCT
ejpam-4765	743	1	journal	journal	PROPN
ejpam-4765	743	2	of	of	ADP
ejpam-4765	743	3	probability	probability	NOUN
ejpam-4765	743	4	and	and	CCONJ
ejpam-4765	743	5	statistics	statistic	NOUN
ejpam-4765	743	6	,	,	PUNCT
ejpam-4765	743	7	2010(article	2010(article	NUM
ejpam-4765	744	1	i	i	PROPN
ejpam-4765	744	2	d	d	PROPN
ejpam-4765	744	3	718905):26	718905):26	PROPN
ejpam-4765	744	4	,	,	PUNCT
ejpam-4765	744	5	2010	2010	NUM
ejpam-4765	744	6	.	.	PUNCT
ejpam-4765	745	1	[	[	X
ejpam-4765	745	2	24	24	NUM
ejpam-4765	745	3	]	]	PUNCT
ejpam-4765	745	4	francesca	francesca	PROPN
ejpam-4765	745	5	greselin	greselin	PROPN
ejpam-4765	745	6	,	,	PUNCT
ejpam-4765	745	7	leo	leo	PROPN
ejpam-4765	745	8	pasquazzi	pasquazzi	PROPN
ejpam-4765	745	9	,	,	PUNCT
ejpam-4765	745	10	and	and	CCONJ
ejpam-4765	745	11	ricardas	ricardas	ADJ
ejpam-4765	745	12	zitikis	zitiki	NOUN
ejpam-4765	745	13	.	.	PUNCT
ejpam-4765	746	1	contrasting	contrast	VERB
ejpam-4765	746	2	the	the	DET
ejpam-4765	746	3	gini	gini	PROPN
ejpam-4765	746	4	and	and	CCONJ
ejpam-4765	746	5	zenga	zenga	PROPN
ejpam-4765	746	6	indices	index	NOUN
ejpam-4765	746	7	of	of	ADP
ejpam-4765	746	8	economic	economic	ADJ
ejpam-4765	746	9	inequality	inequality	NOUN
ejpam-4765	746	10	.	.	PUNCT
ejpam-4765	747	1	journal	journal	NOUN
ejpam-4765	747	2	of	of	ADP
ejpam-4765	747	3	applied	applied	ADJ
ejpam-4765	747	4	statistics	statistic	NOUN
ejpam-4765	747	5	,	,	PUNCT
ejpam-4765	747	6	40(2):282–297	40(2):282–297	PROPN
ejpam-4765	747	7	,	,	PUNCT
ejpam-4765	747	8	2013	2013	NUM
ejpam-4765	747	9	.	.	PUNCT
ejpam-4765	748	1	[	[	X
ejpam-4765	748	2	25	25	NUM
ejpam-4765	748	3	]	]	PUNCT
ejpam-4765	748	4	francesca	francesca	PROPN
ejpam-4765	748	5	greselin	greselin	PROPN
ejpam-4765	748	6	,	,	PUNCT
ejpam-4765	748	7	leo	leo	PROPN
ejpam-4765	748	8	pasquazzi	pasquazzi	PROPN
ejpam-4765	748	9	,	,	PUNCT
ejpam-4765	748	10	and	and	CCONJ
ejpam-4765	748	11	ricardas	ricardas	ADJ
ejpam-4765	748	12	zitikis	zitiki	NOUN
ejpam-4765	748	13	.	.	PUNCT
ejpam-4765	749	1	heavy	heavy	ADJ
ejpam-4765	749	2	tailed	tail	VERB
ejpam-4765	749	3	capital	capital	NOUN
ejpam-4765	749	4	incomes	income	NOUN
ejpam-4765	749	5	:	:	PUNCT
ejpam-4765	749	6	zenga	zenga	PROPN
ejpam-4765	749	7	index	index	PROPN
ejpam-4765	749	8	,	,	PUNCT
ejpam-4765	749	9	statistical	statistical	ADJ
ejpam-4765	749	10	inference	inference	NOUN
ejpam-4765	749	11	,	,	PUNCT
ejpam-4765	749	12	and	and	CCONJ
ejpam-4765	749	13	echp	echp	VERB
ejpam-4765	749	14	data	datum	NOUN
ejpam-4765	749	15	analysis	analysis	NOUN
ejpam-4765	749	16	.	.	PUNCT
ejpam-4765	750	1	extremes	extreme	NOUN
ejpam-4765	750	2	,	,	PUNCT
ejpam-4765	750	3	17(1):127–155	17(1):127–155	PROPN
ejpam-4765	750	4	,	,	PUNCT
ejpam-4765	750	5	2014	2014	NUM
ejpam-4765	750	6	.	.	PUNCT
ejpam-4765	751	1	[	[	X
ejpam-4765	751	2	26	26	NUM
ejpam-4765	751	3	]	]	X
ejpam-4765	751	4	armelle	armelle	PROPN
ejpam-4765	751	5	guillou	guillou	PROPN
ejpam-4765	751	6	and	and	CCONJ
ejpam-4765	751	7	val’erie	val’erie	PROPN
ejpam-4765	751	8	chavez	chavez	PROPN
ejpam-4765	751	9	-	-	PUNCT
ejpam-4765	751	10	demoulin	demoulin	PROPN
ejpam-4765	751	11	.	.	PUNCT
ejpam-4765	752	1	extreme	extreme	ADJ
ejpam-4765	752	2	quantile	quantile	ADJ
ejpam-4765	752	3	estimation	estimation	NOUN
ejpam-4765	752	4	for	for	ADP
ejpam-4765	752	5	β	β	NOUN
ejpam-4765	752	6	-	-	ADJ
ejpam-4765	752	7	mixing	mix	VERB
ejpam-4765	752	8	time	time	NOUN
ejpam-4765	752	9	series	series	NOUN
ejpam-4765	752	10	and	and	CCONJ
ejpam-4765	752	11	applications	application	NOUN
ejpam-4765	752	12	.	.	PUNCT
ejpam-4765	753	1	insurance	insurance	NOUN
ejpam-4765	753	2	:	:	PUNCT
ejpam-4765	753	3	mathematics	mathematic	NOUN
ejpam-4765	753	4	and	and	CCONJ
ejpam-4765	753	5	economics	economic	NOUN
ejpam-4765	753	6	,	,	PUNCT
ejpam-4765	753	7	80:59–74	80:59–74	NUM
ejpam-4765	753	8	,	,	PUNCT
ejpam-4765	753	9	2018	2018	NUM
ejpam-4765	753	10	.	.	PUNCT
ejpam-4765	754	1	[	[	X
ejpam-4765	754	2	27	27	NUM
ejpam-4765	754	3	]	]	X
ejpam-4765	754	4	bruce	bruce	PROPN
ejpam-4765	754	5	m	m	PROPN
ejpam-4765	754	6	hill	hill	PROPN
ejpam-4765	754	7	.	.	PUNCT
ejpam-4765	755	1	a	a	DET
ejpam-4765	755	2	simple	simple	ADJ
ejpam-4765	755	3	approach	approach	NOUN
ejpam-4765	755	4	to	to	ADP
ejpam-4765	755	5	inference	inference	NOUN
ejpam-4765	755	6	about	about	ADP
ejpam-4765	755	7	the	the	DET
ejpam-4765	755	8	tail	tail	NOUN
ejpam-4765	755	9	of	of	ADP
ejpam-4765	755	10	a	a	DET
ejpam-4765	755	11	distribution	distribution	NOUN
ejpam-4765	755	12	.	.	PUNCT
ejpam-4765	756	1	annals	annal	NOUN
ejpam-4765	756	2	of	of	ADP
ejpam-4765	756	3	statistics	statistic	NOUN
ejpam-4765	756	4	,	,	PUNCT
ejpam-4765	756	5	pages	page	NOUN
ejpam-4765	756	6	1136–1174	1136–1174	NUM
ejpam-4765	756	7	,	,	PUNCT
ejpam-4765	756	8	1975	1975	NUM
ejpam-4765	756	9	.	.	PUNCT
ejpam-4765	757	1	[	[	X
ejpam-4765	757	2	28	28	NUM
ejpam-4765	757	3	]	]	X
ejpam-4765	757	4	kenneth	kenneth	PROPN
ejpam-4765	757	5	l	l	PROPN
ejpam-4765	757	6	judd	judd	PROPN
ejpam-4765	757	7	.	.	PUNCT
ejpam-4765	758	1	capital	capital	NOUN
ejpam-4765	758	2	-	-	PUNCT
ejpam-4765	758	3	income	income	NOUN
ejpam-4765	758	4	taxation	taxation	NOUN
ejpam-4765	758	5	with	with	ADP
ejpam-4765	758	6	imperfect	imperfect	ADJ
ejpam-4765	758	7	competition	competition	NOUN
ejpam-4765	758	8	.	.	PUNCT
ejpam-4765	759	1	american	american	PROPN
ejpam-4765	759	2	economic	economic	PROPN
ejpam-4765	759	3	review	review	PROPN
ejpam-4765	759	4	,	,	PUNCT
ejpam-4765	759	5	92(2):417–421	92(2):417–421	PROPN
ejpam-4765	759	6	,	,	PUNCT
ejpam-4765	759	7	2002	2002	NUM
ejpam-4765	759	8	.	.	PUNCT
ejpam-4765	760	1	[	[	X
ejpam-4765	760	2	29	29	NUM
ejpam-4765	760	3	]	]	X
ejpam-4765	760	4	tchilabalo	tchilabalo	NOUN
ejpam-4765	760	5	a	a	DET
ejpam-4765	760	6	kpanzou	kpanzou	NOUN
ejpam-4765	760	7	.	.	PUNCT
ejpam-4765	761	1	asymptotic	asymptotic	ADJ
ejpam-4765	761	2	distribution	distribution	NOUN
ejpam-4765	761	3	of	of	ADP
ejpam-4765	761	4	the	the	DET
ejpam-4765	761	5	quintile	quintile	NOUN
ejpam-4765	761	6	share	share	PROPN
ejpam-4765	761	7	ratio	ratio	NOUN
ejpam-4765	761	8	estimator	estimator	NOUN
ejpam-4765	761	9	.	.	PUNCT
ejpam-4765	762	1	afrika	afrika	PROPN
ejpam-4765	762	2	statistika	statistika	PROPN
ejpam-4765	762	3	,	,	PUNCT
ejpam-4765	762	4	9(1):659–670	9(1):659–670	NUM
ejpam-4765	762	5	,	,	PUNCT
ejpam-4765	762	6	2014	2014	NUM
ejpam-4765	762	7	.	.	PUNCT
ejpam-4765	763	1	[	[	X
ejpam-4765	763	2	30	30	NUM
ejpam-4765	763	3	]	]	X
ejpam-4765	763	4	tchilabalo	tchilabalo	NOUN
ejpam-4765	763	5	a	a	DET
ejpam-4765	763	6	kpanzou	kpanzou	NOUN
ejpam-4765	763	7	.	.	PUNCT
ejpam-4765	764	1	on	on	ADP
ejpam-4765	764	2	the	the	DET
ejpam-4765	764	3	influence	influence	NOUN
ejpam-4765	764	4	function	function	NOUN
ejpam-4765	764	5	of	of	ADP
ejpam-4765	764	6	the	the	DET
ejpam-4765	764	7	quintile	quintile	NOUN
ejpam-4765	764	8	share	share	NOUN
ejpam-4765	764	9	ratio	ratio	NOUN
ejpam-4765	764	10	.	.	PUNCT
ejpam-4765	765	1	communications	communication	NOUN
ejpam-4765	765	2	in	in	ADP
ejpam-4765	765	3	statistics	statistic	NOUN
ejpam-4765	765	4	-	-	PUNCT
ejpam-4765	765	5	simulation	simulation	NOUN
ejpam-4765	765	6	and	and	CCONJ
ejpam-4765	765	7	computation	computation	NOUN
ejpam-4765	765	8	,	,	PUNCT
ejpam-4765	765	9	44(8):2492–2499	44(8):2492–2499	NUM
ejpam-4765	765	10	,	,	PUNCT
ejpam-4765	765	11	2015	2015	NUM
ejpam-4765	765	12	.	.	PUNCT
ejpam-4765	766	1	[	[	X
ejpam-4765	766	2	31	31	NUM
ejpam-4765	766	3	]	]	PUNCT
ejpam-4765	766	4	m.	m.	NOUN
ejpam-4765	766	5	langel	langel	NOUN
ejpam-4765	766	6	and	and	CCONJ
ejpam-4765	766	7	y.	y.	PROPN
ejpam-4765	766	8	tillé.	tillé.	PROPN
ejpam-4765	766	9	variance	variance	NOUN
ejpam-4765	766	10	estimation	estimation	NOUN
ejpam-4765	766	11	of	of	ADP
ejpam-4765	766	12	the	the	DET
ejpam-4765	766	13	gini	gini	PROPN
ejpam-4765	766	14	index	index	PROPN
ejpam-4765	766	15	:	:	PUNCT
ejpam-4765	766	16	revisiting	revisit	VERB
ejpam-4765	766	17	a	a	DET
ejpam-4765	766	18	result	result	NOUN
ejpam-4765	766	19	several	several	ADJ
ejpam-4765	766	20	times	time	NOUN
ejpam-4765	766	21	published	publish	VERB
ejpam-4765	766	22	.	.	PUNCT
ejpam-4765	767	1	journal	journal	NOUN
ejpam-4765	767	2	of	of	ADP
ejpam-4765	767	3	the	the	DET
ejpam-4765	767	4	royal	royal	ADJ
ejpam-4765	767	5	statistical	statistical	ADJ
ejpam-4765	767	6	society	society	NOUN
ejpam-4765	767	7	,	,	PUNCT
ejpam-4765	767	8	176:521–540	176:521–540	NUM
ejpam-4765	767	9	,	,	PUNCT
ejpam-4765	767	10	2013	2013	NUM
ejpam-4765	767	11	.	.	PUNCT
ejpam-4765	768	1	[	[	X
ejpam-4765	768	2	32	32	NUM
ejpam-4765	768	3	]	]	X
ejpam-4765	768	4	matti	matti	PROPN
ejpam-4765	768	5	langel	langel	NOUN
ejpam-4765	768	6	and	and	CCONJ
ejpam-4765	768	7	yves	yve	NOUN
ejpam-4765	768	8	tillé.	tillé.	PROPN
ejpam-4765	768	9	statistical	statistical	ADJ
ejpam-4765	768	10	inference	inference	NOUN
ejpam-4765	768	11	for	for	ADP
ejpam-4765	768	12	the	the	DET
ejpam-4765	768	13	quintile	quintile	NOUN
ejpam-4765	768	14	share	share	NOUN
ejpam-4765	768	15	ratio	ratio	NOUN
ejpam-4765	768	16	.	.	PUNCT
ejpam-4765	769	1	journal	journal	NOUN
ejpam-4765	769	2	of	of	ADP
ejpam-4765	769	3	statistical	statistical	ADJ
ejpam-4765	769	4	planning	planning	NOUN
ejpam-4765	769	5	and	and	CCONJ
ejpam-4765	769	6	inference	inference	NOUN
ejpam-4765	769	7	,	,	PUNCT
ejpam-4765	769	8	141(10):2976–2985	141(10):2976–2985	NUM
ejpam-4765	769	9	,	,	PUNCT
ejpam-4765	769	10	2011	2011	NUM
ejpam-4765	769	11	.	.	PUNCT
ejpam-4765	770	1	[	[	X
ejpam-4765	770	2	33	33	NUM
ejpam-4765	770	3	]	]	X
ejpam-4765	770	4	g.s	g.s	PROPN
ejpam-4765	770	5	.	.	PROPN
ejpam-4765	770	6	lo	lo	PROPN
ejpam-4765	770	7	and	and	CCONJ
ejpam-4765	770	8	a.	a.	NOUN
ejpam-4765	770	9	m.	m.	NOUN
ejpam-4765	770	10	fall	fall	NOUN
ejpam-4765	770	11	.	.	PUNCT
ejpam-4765	771	1	another	another	DET
ejpam-4765	771	2	look	look	NOUN
ejpam-4765	771	3	at	at	ADP
ejpam-4765	771	4	second	second	ADJ
ejpam-4765	771	5	order	order	NOUN
ejpam-4765	771	6	condition	condition	NOUN
ejpam-4765	771	7	in	in	ADP
ejpam-4765	771	8	extreme	extreme	ADJ
ejpam-4765	771	9	value	value	NOUN
ejpam-4765	771	10	theory	theory	NOUN
ejpam-4765	771	11	.	.	PUNCT
ejpam-4765	772	1	afrika	afrika	PROPN
ejpam-4765	772	2	statistika	statistika	PROPN
ejpam-4765	772	3	,	,	PUNCT
ejpam-4765	772	4	6:346–370	6:346–370	NOUN
ejpam-4765	772	5	,	,	PUNCT
ejpam-4765	772	6	2011	2011	NUM
ejpam-4765	772	7	.	.	PUNCT
ejpam-4765	773	1	[	[	X
ejpam-4765	773	2	34	34	NUM
ejpam-4765	773	3	]	]	X
ejpam-4765	773	4	a.	a.	NOUN
ejpam-4765	773	5	necir	necir	PROPN
ejpam-4765	773	6	,	,	PUNCT
ejpam-4765	773	7	a.	a.	NOUN
ejpam-4765	773	8	rassoul	rassoul	PROPN
ejpam-4765	773	9	,	,	PUNCT
ejpam-4765	773	10	and	and	CCONJ
ejpam-4765	773	11	r.	r.	PROPN
ejpam-4765	773	12	zitikis	zitikis	PROPN
ejpam-4765	773	13	.	.	PUNCT
ejpam-4765	774	1	estimating	estimate	VERB
ejpam-4765	774	2	the	the	DET
ejpam-4765	774	3	conditional	conditional	ADJ
ejpam-4765	774	4	tail	tail	NOUN
ejpam-4765	774	5	expectation	expectation	NOUN
ejpam-4765	774	6	in	in	ADP
ejpam-4765	774	7	the	the	DET
ejpam-4765	774	8	case	case	NOUN
ejpam-4765	774	9	of	of	ADP
ejpam-4765	774	10	heavy	heavy	ADJ
ejpam-4765	774	11	-	-	PUNCT
ejpam-4765	774	12	tailed	tail	VERB
ejpam-4765	774	13	losses	loss	NOUN
ejpam-4765	774	14	.	.	PUNCT
ejpam-4765	775	1	journal	journal	NOUN
ejpam-4765	775	2	of	of	ADP
ejpam-4765	775	3	probability	probability	NOUN
ejpam-4765	775	4	and	and	CCONJ
ejpam-4765	775	5	statistics	statistic	NOUN
ejpam-4765	775	6	,	,	PUNCT
ejpam-4765	775	7	i	i	PROPN
ejpam-4765	775	8	d	d	PROPN
ejpam-4765	775	9	596839:17	596839:17	NUM
ejpam-4765	775	10	pages	page	NOUN
ejpam-4765	775	11	,	,	PUNCT
ejpam-4765	775	12	2010	2010	NUM
ejpam-4765	775	13	.	.	PUNCT
ejpam-4765	776	1	[	[	X
ejpam-4765	776	2	35	35	NUM
ejpam-4765	776	3	]	]	X
ejpam-4765	776	4	g.	g.	NOUN
ejpam-4765	776	5	osier	osier	PROPN
ejpam-4765	776	6	.	.	PUNCT
ejpam-4765	777	1	variance	variance	NOUN
ejpam-4765	777	2	estimation	estimation	NOUN
ejpam-4765	777	3	:	:	PUNCT
ejpam-4765	777	4	the	the	DET
ejpam-4765	777	5	linearization	linearization	NOUN
ejpam-4765	777	6	approach	approach	NOUN
ejpam-4765	777	7	applied	apply	VERB
ejpam-4765	777	8	by	by	ADP
ejpam-4765	777	9	eurostat	eurostat	PROPN
ejpam-4765	777	10	to	to	ADP
ejpam-4765	777	11	the	the	DET
ejpam-4765	777	12	2004	2004	NUM
ejpam-4765	777	13	silc	silc	PROPN
ejpam-4765	777	14	operation	operation	PROPN
ejpam-4765	777	15	.	.	PUNCT
ejpam-4765	778	1	technical	technical	ADJ
ejpam-4765	778	2	report	report	PROPN
ejpam-4765	778	3	,	,	PUNCT
ejpam-4765	778	4	eurostat	eurostat	PROPN
ejpam-4765	778	5	and	and	CCONJ
ejpam-4765	778	6	statistics	statistics	PROPN
ejpam-4765	778	7	finland	finland	PROPN
ejpam-4765	778	8	methodological	methodological	ADJ
ejpam-4765	778	9	workshop	workshop	NOUN
ejpam-4765	778	10	on	on	ADP
ejpam-4765	778	11	eu	eu	PROPN
ejpam-4765	778	12	-	-	PROPN
ejpam-4765	778	13	silc	silc	PROPN
ejpam-4765	778	14	,	,	PUNCT
ejpam-4765	778	15	2006	2006	NUM
ejpam-4765	778	16	.	.	PUNCT
ejpam-4765	779	1	[	[	X
ejpam-4765	779	2	36	36	NUM
ejpam-4765	779	3	]	]	X
ejpam-4765	779	4	g.	g.	PROPN
ejpam-4765	779	5	osier	osier	PROPN
ejpam-4765	779	6	.	.	PUNCT
ejpam-4765	780	1	variance	variance	NOUN
ejpam-4765	780	2	estimation	estimation	NOUN
ejpam-4765	780	3	for	for	ADP
ejpam-4765	780	4	complex	complex	ADJ
ejpam-4765	780	5	indicators	indicator	NOUN
ejpam-4765	780	6	of	of	ADP
ejpam-4765	780	7	poverty	poverty	NOUN
ejpam-4765	780	8	and	and	CCONJ
ejpam-4765	780	9	inequality	inequality	NOUN
ejpam-4765	780	10	using	use	VERB
ejpam-4765	780	11	linearization	linearization	NOUN
ejpam-4765	780	12	techniques	technique	NOUN
ejpam-4765	780	13	.	.	PUNCT
ejpam-4765	781	1	survey	survey	NOUN
ejpam-4765	781	2	research	research	NOUN
ejpam-4765	781	3	methods	method	NOUN
ejpam-4765	781	4	,	,	PUNCT
ejpam-4765	781	5	3:167–195	3:167–195	PROPN
ejpam-4765	781	6	,	,	PUNCT
ejpam-4765	781	7	2009	2009	NUM
ejpam-4765	781	8	.	.	PUNCT
ejpam-4765	782	1	[	[	X
ejpam-4765	782	2	37	37	NUM
ejpam-4765	782	3	]	]	PUNCT
ejpam-4765	782	4	l.	l.	PROPN
ejpam-4765	782	5	peng	peng	PROPN
ejpam-4765	782	6	.	.	PUNCT
ejpam-4765	783	1	estimating	estimate	VERB
ejpam-4765	783	2	the	the	DET
ejpam-4765	783	3	mean	mean	NOUN
ejpam-4765	783	4	of	of	ADP
ejpam-4765	783	5	a	a	DET
ejpam-4765	783	6	heavy	heavy	ADJ
ejpam-4765	783	7	tailed	tail	VERB
ejpam-4765	783	8	distribution	distribution	NOUN
ejpam-4765	783	9	.	.	PUNCT
ejpam-4765	784	1	stat	stat	PROPN
ejpam-4765	784	2	.	.	PUNCT
ejpam-4765	785	1	prob	prob	PROPN
ejpam-4765	785	2	.	.	PUNCT
ejpam-4765	786	1	lett	lett	PROPN
ejpam-4765	786	2	.	.	PUNCT
ejpam-4765	786	3	,	,	PUNCT
ejpam-4765	787	1	52:255–264	52:255–264	NOUN
ejpam-4765	787	2	,	,	PUNCT
ejpam-4765	787	3	2001	2001	NUM
ejpam-4765	787	4	.	.	PUNCT
ejpam-4765	788	1	references	reference	NOUN
ejpam-4765	788	2	2543	2543	NUM
ejpam-4765	789	1	[	[	X
ejpam-4765	789	2	38	38	NUM
ejpam-4765	789	3	]	]	PUNCT
ejpam-4765	789	4	l.	l.	PROPN
ejpam-4765	789	5	peng	peng	PROPN
ejpam-4765	789	6	and	and	CCONJ
ejpam-4765	789	7	y.	y.	PROPN
ejpam-4765	789	8	qi	qi	PROPN
ejpam-4765	789	9	.	.	PUNCT
ejpam-4765	790	1	estimating	estimate	VERB
ejpam-4765	790	2	the	the	DET
ejpam-4765	790	3	firstand	firstand	NOUN
ejpam-4765	790	4	second	second	ADJ
ejpam-4765	790	5	-	-	PUNCT
ejpam-4765	790	6	order	order	NOUN
ejpam-4765	790	7	parameters	parameter	NOUN
ejpam-4765	790	8	of	of	ADP
ejpam-4765	790	9	a	a	DET
ejpam-4765	790	10	heavy	heavy	ADJ
ejpam-4765	790	11	-	-	PUNCT
ejpam-4765	790	12	tailed	tail	VERB
ejpam-4765	790	13	distribution	distribution	NOUN
ejpam-4765	790	14	.	.	PUNCT
ejpam-4765	791	1	aust	aust	PROPN
ejpam-4765	791	2	.	.	PUNCT
ejpam-4765	791	3	n.	n.	PROPN
ejpam-4765	791	4	z.	z.	PROPN
ejpam-4765	791	5	j.	j.	PROPN
ejpam-4765	791	6	stat	stat	PROPN
ejpam-4765	791	7	.	.	PUNCT
ejpam-4765	791	8	,	,	PUNCT
ejpam-4765	791	9	46(2):305–312	46(2):305–312	PROPN
ejpam-4765	791	10	,	,	PUNCT
ejpam-4765	791	11	2004	2004	NUM
ejpam-4765	791	12	.	.	PUNCT
ejpam-4765	792	1	[	[	X
ejpam-4765	792	2	39	39	NUM
ejpam-4765	792	3	]	]	PUNCT
ejpam-4765	792	4	r.	r.	PROPN
ejpam-4765	792	5	d.	d.	PROPN
ejpam-4765	792	6	reiss	reiss	PROPN
ejpam-4765	792	7	and	and	CCONJ
ejpam-4765	792	8	m.	m.	PROPN
ejpam-4765	792	9	thomas	thomas	PROPN
ejpam-4765	792	10	.	.	PUNCT
ejpam-4765	793	1	statistical	statistical	ADJ
ejpam-4765	793	2	analysis	analysis	NOUN
ejpam-4765	793	3	of	of	ADP
ejpam-4765	793	4	extreme	extreme	ADJ
ejpam-4765	793	5	values	value	NOUN
ejpam-4765	793	6	with	with	ADP
ejpam-4765	793	7	applications	application	NOUN
ejpam-4765	793	8	to	to	ADP
ejpam-4765	793	9	insurance	insurance	NOUN
ejpam-4765	793	10	,	,	PUNCT
ejpam-4765	793	11	finance	finance	NOUN
ejpam-4765	793	12	,	,	PUNCT
ejpam-4765	793	13	hydrology	hydrology	NOUN
ejpam-4765	793	14	and	and	CCONJ
ejpam-4765	793	15	other	other	ADJ
ejpam-4765	793	16	fields	field	NOUN
ejpam-4765	793	17	.	.	PUNCT
ejpam-4765	794	1	birkhäuser	birkhäuser	NOUN
ejpam-4765	794	2	,	,	PUNCT
ejpam-4765	794	3	3rd	3rd	ADJ
ejpam-4765	794	4	edition	edition	NOUN
ejpam-4765	794	5	,	,	PUNCT
ejpam-4765	794	6	2007	2007	NUM
ejpam-4765	794	7	.	.	PUNCT
ejpam-4765	795	1	[	[	X
ejpam-4765	795	2	40	40	NUM
ejpam-4765	795	3	]	]	PUNCT
ejpam-4765	795	4	p.	p.	PROPN
ejpam-4765	795	5	b.	b.	PROPN
ejpam-4765	795	6	sørensen	sørensen	PROPN
ejpam-4765	795	7	.	.	PUNCT
ejpam-4765	796	1	can	can	AUX
ejpam-4765	796	2	capital	capital	NOUN
ejpam-4765	796	3	income	income	NOUN
ejpam-4765	796	4	taxes	taxis	NOUN
ejpam-4765	796	5	survive	survive	VERB
ejpam-4765	796	6	?	?	PUNCT
ejpam-4765	797	1	and	and	CCONJ
ejpam-4765	797	2	should	should	AUX
ejpam-4765	797	3	they	they	PRON
ejpam-4765	797	4	?	?	PUNCT
ejpam-4765	798	1	cesifo	cesifo	PROPN
ejpam-4765	798	2	econ	econ	PROPN
ejpam-4765	798	3	.	.	PUNCT
ejpam-4765	798	4	stud	stud	PROPN
ejpam-4765	798	5	.	.	PUNCT
ejpam-4765	798	6	,	,	PUNCT
ejpam-4765	799	1	53(2):172–228	53(2):172–228	NUM
ejpam-4765	799	2	,	,	PUNCT
ejpam-4765	799	3	2007	2007	NUM
ejpam-4765	799	4	.	.	PUNCT
ejpam-4765	800	1	[	[	X
ejpam-4765	800	2	41	41	NUM
ejpam-4765	800	3	]	]	X
ejpam-4765	800	4	o.	o.	PROPN
ejpam-4765	800	5	tami	tami	PROPN
ejpam-4765	800	6	,	,	PUNCT
ejpam-4765	800	7	a.	a.	NOUN
ejpam-4765	800	8	rassoul	rassoul	PROPN
ejpam-4765	800	9	,	,	PUNCT
ejpam-4765	800	10	and	and	CCONJ
ejpam-4765	800	11	ould	ould	AUX
ejpam-4765	800	12	r.h	r.h	PROPN
ejpam-4765	800	13	.	.	PROPN
ejpam-4765	801	1	an	an	DET
ejpam-4765	801	2	improved	improved	ADJ
ejpam-4765	801	3	estimator	estimator	NOUN
ejpam-4765	801	4	of	of	ADP
ejpam-4765	801	5	the	the	DET
ejpam-4765	801	6	zenga	zenga	NOUN
ejpam-4765	801	7	index	index	NOUN
ejpam-4765	801	8	for	for	ADP
ejpam-4765	801	9	heavytailed	heavytailed	ADJ
ejpam-4765	801	10	distributions	distribution	NOUN
ejpam-4765	801	11	.	.	PUNCT
ejpam-4765	802	1	j.	j.	PROPN
ejpam-4765	802	2	stat	stat	PROPN
ejpam-4765	802	3	.	.	PUNCT
ejpam-4765	803	1	appl	appl	PROPN
ejpam-4765	803	2	.	.	PUNCT
ejpam-4765	804	1	pro	pro	X
ejpam-4765	804	2	.	.	PROPN
ejpam-4765	804	3	,	,	PUNCT
ejpam-4765	804	4	8(2):91–102	8(2):91–102	NUM
ejpam-4765	804	5	,	,	PUNCT
ejpam-4765	804	6	2019	2019	NUM
ejpam-4765	804	7	.	.	PUNCT
ejpam-4765	805	1	[	[	X
ejpam-4765	805	2	42	42	NUM
ejpam-4765	805	3	]	]	PUNCT
ejpam-4765	805	4	i.	i.	PROPN
ejpam-4765	805	5	weissman	weissman	PROPN
ejpam-4765	805	6	.	.	PUNCT
ejpam-4765	805	7	estimation	estimation	NOUN
ejpam-4765	805	8	of	of	ADP
ejpam-4765	805	9	parameters	parameter	NOUN
ejpam-4765	805	10	and	and	CCONJ
ejpam-4765	805	11	larges	large	VERB
ejpam-4765	805	12	quantiles	quantile	NOUN
ejpam-4765	805	13	based	base	VERB
ejpam-4765	805	14	on	on	ADP
ejpam-4765	805	15	the	the	DET
ejpam-4765	805	16	k	k	PROPN
ejpam-4765	805	17	largest	large	ADJ
ejpam-4765	805	18	observations	observation	NOUN
ejpam-4765	805	19	.	.	PUNCT
ejpam-4765	806	1	journal	journal	PROPN
ejpam-4765	806	2	of	of	ADP
ejpam-4765	806	3	american	american	PROPN
ejpam-4765	806	4	statistical	statistical	ADJ
ejpam-4765	806	5	association	association	PROPN
ejpam-4765	806	6	,	,	PUNCT
ejpam-4765	806	7	73(364):812–815	73(364):812–815	PROPN
ejpam-4765	806	8	,	,	PUNCT
ejpam-4765	806	9	1978	1978	NUM
ejpam-4765	806	10	.	.	PUNCT
ejpam-4765	807	1	[	[	X
ejpam-4765	807	2	43	43	NUM
ejpam-4765	807	3	]	]	PUNCT
ejpam-4765	807	4	k.	k.	PROPN
ejpam-4765	808	1	xu	xu	PROPN
ejpam-4765	808	2	.	.	PUNCT
ejpam-4765	809	1	how	how	SCONJ
ejpam-4765	809	2	has	have	AUX
ejpam-4765	809	3	the	the	DET
ejpam-4765	809	4	literature	literature	NOUN
ejpam-4765	809	5	on	on	ADP
ejpam-4765	809	6	gini	gini	PROPN
ejpam-4765	809	7	’s	’s	PART
ejpam-4765	809	8	index	index	NOUN
ejpam-4765	809	9	evolved	evolve	VERB
ejpam-4765	809	10	in	in	ADP
ejpam-4765	809	11	the	the	DET
ejpam-4765	809	12	past	past	ADJ
ejpam-4765	809	13	80	80	NUM
ejpam-4765	809	14	years	year	NOUN
ejpam-4765	809	15	?	?	PUNCT
ejpam-4765	810	1	technical	technical	ADJ
ejpam-4765	810	2	report	report	NOUN
ejpam-4765	810	3	,	,	PUNCT
ejpam-4765	810	4	department	department	NOUN
ejpam-4765	810	5	of	of	ADP
ejpam-4765	810	6	economics	economic	NOUN
ejpam-4765	810	7	,	,	PUNCT
ejpam-4765	810	8	dalhousie	dalhousie	PROPN
ejpam-4765	810	9	university	university	NOUN
ejpam-4765	810	10	,	,	PUNCT
ejpam-4765	810	11	2004	2004	NUM
ejpam-4765	810	12	.	.	PUNCT
ejpam-4765	811	1	[	[	X
ejpam-4765	811	2	44	44	NUM
ejpam-4765	811	3	]	]	PUNCT
ejpam-4765	811	4	m.	m.	NOUN
ejpam-4765	811	5	zenga	zenga	PROPN
ejpam-4765	811	6	.	.	PUNCT
ejpam-4765	812	1	inequality	inequality	NOUN
ejpam-4765	812	2	curve	curve	NOUN
ejpam-4765	812	3	and	and	CCONJ
ejpam-4765	812	4	inequality	inequality	NOUN
ejpam-4765	812	5	index	index	NOUN
ejpam-4765	812	6	based	base	VERB
ejpam-4765	812	7	on	on	ADP
ejpam-4765	812	8	the	the	DET
ejpam-4765	812	9	ratios	ratio	NOUN
ejpam-4765	812	10	between	between	ADP
ejpam-4765	812	11	lower	low	ADJ
ejpam-4765	812	12	and	and	CCONJ
ejpam-4765	812	13	upper	upper	ADJ
ejpam-4765	812	14	arithmetic	arithmetic	ADJ
ejpam-4765	812	15	means	mean	NOUN
ejpam-4765	812	16	.	.	PUNCT
ejpam-4765	813	1	stat	stat	PROPN
ejpam-4765	813	2	.	.	PUNCT
ejpam-4765	814	1	appl	appl	PROPN
ejpam-4765	814	2	.	.	PROPN
ejpam-4765	814	3	,	,	PUNCT
ejpam-4765	814	4	5:3–27	5:3–27	NUM
ejpam-4765	814	5	,	,	PUNCT
ejpam-4765	814	6	2007	2007	NUM
ejpam-4765	814	7	.	.	PUNCT
ejpam-4765	815	1	[	[	X
ejpam-4765	815	2	45	45	NUM
ejpam-4765	815	3	]	]	PUNCT
ejpam-4765	815	4	r.	r.	PROPN
ejpam-4765	815	5	zitikis	zitikis	PROPN
ejpam-4765	815	6	.	.	PUNCT
ejpam-4765	816	1	the	the	DET
ejpam-4765	816	2	vervaat	vervaat	NOUN
ejpam-4765	816	3	process	process	NOUN
ejpam-4765	816	4	.	.	PUNCT
ejpam-4765	817	1	in	in	ADP
ejpam-4765	817	2	asymptotic	asymptotic	ADJ
ejpam-4765	817	3	methods	method	NOUN
ejpam-4765	817	4	in	in	ADP
ejpam-4765	817	5	probability	probability	NOUN
ejpam-4765	817	6	and	and	CCONJ
ejpam-4765	817	7	statistics	statistic	NOUN
ejpam-4765	817	8	,	,	PUNCT
ejpam-4765	817	9	page	page	NOUN
ejpam-4765	817	10	667–694	667–694	NUM
ejpam-4765	817	11	.	.	PUNCT
ejpam-4765	818	1	north	north	NOUN
ejpam-4765	818	2	-	-	PUNCT
ejpam-4765	818	3	holland	holland	PROPN
ejpam-4765	818	4	,	,	PUNCT
ejpam-4765	818	5	1998	1998	NUM
ejpam-4765	818	6	.	.	PUNCT