id	sid	tid	token	lemma	pos
ejpam-6024	1	1	european	european	PROPN
ejpam-6024	1	2	journal	journal	PROPN
ejpam-6024	1	3	of	of	ADP
ejpam-6024	1	4	pure	pure	ADJ
ejpam-6024	1	5	and	and	CCONJ
ejpam-6024	1	6	applied	applied	ADJ
ejpam-6024	1	7	mathematics	mathematic	NOUN
ejpam-6024	1	8	2025	2025	NUM
ejpam-6024	1	9	,	,	PUNCT
ejpam-6024	1	10	vol	vol	NOUN
ejpam-6024	1	11	.	.	PROPN
ejpam-6024	1	12	18	18	NUM
ejpam-6024	1	13	,	,	PUNCT
ejpam-6024	1	14	issue	issue	NOUN
ejpam-6024	1	15	2	2	NUM
ejpam-6024	1	16	,	,	PUNCT
ejpam-6024	1	17	article	article	NOUN
ejpam-6024	1	18	number	number	NOUN
ejpam-6024	1	19	6024	6024	NUM
ejpam-6024	1	20	issn	issn	PROPN
ejpam-6024	1	21	1307	1307	NUM
ejpam-6024	1	22	-	-	SYM
ejpam-6024	1	23	5543	5543	NUM
ejpam-6024	1	24	–	–	PUNCT
ejpam-6024	1	25	ejpam.com	ejpam.com	X
ejpam-6024	1	26	published	publish	VERB
ejpam-6024	1	27	by	by	ADP
ejpam-6024	1	28	new	new	PROPN
ejpam-6024	1	29	york	york	PROPN
ejpam-6024	1	30	business	business	PROPN
ejpam-6024	1	31	global	global	PROPN
ejpam-6024	1	32	a	a	DET
ejpam-6024	1	33	class	class	NOUN
ejpam-6024	1	34	of	of	ADP
ejpam-6024	1	35	reduced	reduce	VERB
ejpam-6024	1	36	bias	bias	NOUN
ejpam-6024	1	37	estimators	estimator	NOUN
ejpam-6024	1	38	of	of	ADP
ejpam-6024	1	39	distortion	distortion	NOUN
ejpam-6024	1	40	risk	risk	NOUN
ejpam-6024	1	41	measures	measure	NOUN
ejpam-6024	1	42	under	under	ADP
ejpam-6024	1	43	dependence	dependence	NOUN
ejpam-6024	1	44	serials	serial	NOUN
ejpam-6024	1	45	with	with	ADP
ejpam-6024	1	46	heavy	heavy	ADJ
ejpam-6024	1	47	-	-	PUNCT
ejpam-6024	1	48	tailed	tail	VERB
ejpam-6024	1	49	marginals	marginal	NOUN
ejpam-6024	1	50	aminetou	aminetou	PROPN
ejpam-6024	1	51	agbrabatt1	agbrabatt1	PROPN
ejpam-6024	1	52	,	,	PUNCT
ejpam-6024	1	53	el	el	PROPN
ejpam-6024	1	54	hadji	hadji	PROPN
ejpam-6024	1	55	deme2,∗	deme2,∗	PROPN
ejpam-6024	1	56	,	,	PUNCT
ejpam-6024	1	57	sidiya	sidiya	PROPN
ejpam-6024	1	58	ahmedou2	ahmedou2	PROPN
ejpam-6024	1	59	,	,	PUNCT
ejpam-6024	1	60	mamadou	mamadou	PROPN
ejpam-6024	1	61	a.	a.	NOUN
ejpam-6024	1	62	barry2	barry2	PROPN
ejpam-6024	1	63	,	,	PUNCT
ejpam-6024	1	64	khalil	khalil	PROPN
ejpam-6024	1	65	el	el	PROPN
ejpam-6024	1	66	waled1	waled1	PROPN
ejpam-6024	1	67	1	1	NUM
ejpam-6024	1	68	fst	fst	NOUN
ejpam-6024	1	69	,	,	PUNCT
ejpam-6024	1	70	université	université	NOUN
ejpam-6024	1	71	de	de	PROPN
ejpam-6024	1	72	nouachott	nouachott	PROPN
ejpam-6024	1	73	al	al	PROPN
ejpam-6024	1	74	aasriya	aasriya	PROPN
ejpam-6024	1	75	,	,	PUNCT
ejpam-6024	1	76	bp	bp	PROPN
ejpam-6024	1	77	2373	2373	NUM
ejpam-6024	1	78	,	,	PUNCT
ejpam-6024	1	79	nouakchott	nouakchott	PROPN
ejpam-6024	1	80	,	,	PUNCT
ejpam-6024	1	81	mauritanie	mauritanie	X
ejpam-6024	1	82	2	2	NUM
ejpam-6024	1	83	lerstad	lerstad	NOUN
ejpam-6024	1	84	,	,	PUNCT
ejpam-6024	1	85	ufr	ufr	PROPN
ejpam-6024	1	86	sat	sit	VERB
ejpam-6024	1	87	,	,	PUNCT
ejpam-6024	1	88	université	université	NOUN
ejpam-6024	1	89	gaston	gaston	PROPN
ejpam-6024	1	90	berger	berger	PROPN
ejpam-6024	1	91	,	,	PUNCT
ejpam-6024	1	92	bp	bp	PROPN
ejpam-6024	1	93	234	234	NUM
ejpam-6024	1	94	,	,	PUNCT
ejpam-6024	1	95	saint	saint	NOUN
ejpam-6024	1	96	-	-	PUNCT
ejpam-6024	1	97	louis	louis	NOUN
ejpam-6024	1	98	,	,	PUNCT
ejpam-6024	1	99	sénégal	sénégal	ADJ
ejpam-6024	1	100	abstract	abstract	NOUN
ejpam-6024	1	101	.	.	PUNCT
ejpam-6024	2	1	in	in	ADP
ejpam-6024	2	2	this	this	DET
ejpam-6024	2	3	paper	paper	NOUN
ejpam-6024	2	4	,	,	PUNCT
ejpam-6024	2	5	we	we	PRON
ejpam-6024	2	6	introduce	introduce	VERB
ejpam-6024	2	7	a	a	DET
ejpam-6024	2	8	class	class	NOUN
ejpam-6024	2	9	of	of	ADP
ejpam-6024	2	10	semi	semi	ADJ
ejpam-6024	2	11	-	-	ADJ
ejpam-6024	2	12	parametric	parametric	ADJ
ejpam-6024	2	13	estimators	estimator	NOUN
ejpam-6024	2	14	of	of	ADP
ejpam-6024	2	15	the	the	DET
ejpam-6024	2	16	distortion	distortion	NOUN
ejpam-6024	2	17	risk	risk	NOUN
ejpam-6024	2	18	premiums	premium	NOUN
ejpam-6024	2	19	for	for	ADP
ejpam-6024	2	20	dependent	dependent	ADJ
ejpam-6024	2	21	insurance	insurance	NOUN
ejpam-6024	2	22	losses	loss	NOUN
ejpam-6024	2	23	with	with	ADP
ejpam-6024	2	24	heavy	heavy	ADJ
ejpam-6024	2	25	-	-	PUNCT
ejpam-6024	2	26	tailed	tail	VERB
ejpam-6024	2	27	marginals	marginal	NOUN
ejpam-6024	2	28	.	.	PUNCT
ejpam-6024	3	1	our	our	PRON
ejpam-6024	3	2	approach	approach	NOUN
ejpam-6024	3	3	is	be	AUX
ejpam-6024	3	4	based	base	VERB
ejpam-6024	3	5	on	on	ADP
ejpam-6024	3	6	the	the	DET
ejpam-6024	3	7	kernel	kernel	PROPN
ejpam-6024	3	8	estimation	estimation	NOUN
ejpam-6024	3	9	of	of	ADP
ejpam-6024	3	10	the	the	DET
ejpam-6024	3	11	tail	tail	NOUN
ejpam-6024	3	12	index	index	NOUN
ejpam-6024	3	13	and	and	CCONJ
ejpam-6024	3	14	extreme	extreme	ADJ
ejpam-6024	3	15	quantiles	quantile	NOUN
ejpam-6024	3	16	under	under	ADP
ejpam-6024	3	17	the	the	DET
ejpam-6024	3	18	first	first	ADJ
ejpam-6024	3	19	and	and	CCONJ
ejpam-6024	3	20	second	second	ADJ
ejpam-6024	3	21	orders	order	NOUN
ejpam-6024	3	22	regularly	regularly	ADV
ejpam-6024	3	23	varying	vary	VERB
ejpam-6024	3	24	assumptions	assumption	NOUN
ejpam-6024	3	25	for	for	ADP
ejpam-6024	3	26	stationary	stationary	ADJ
ejpam-6024	3	27	insured	insured	ADJ
ejpam-6024	3	28	risks	risk	NOUN
ejpam-6024	3	29	with	with	ADP
ejpam-6024	3	30	heavy	heavy	ADJ
ejpam-6024	3	31	-	-	PUNCT
ejpam-6024	3	32	tailed	tail	VERB
ejpam-6024	3	33	distribution	distribution	NOUN
ejpam-6024	3	34	under	under	ADP
ejpam-6024	3	35	dependence	dependence	NOUN
ejpam-6024	3	36	serials	serial	NOUN
ejpam-6024	3	37	.	.	PUNCT
ejpam-6024	4	1	moreover	moreover	ADV
ejpam-6024	4	2	,	,	PUNCT
ejpam-6024	4	3	we	we	PRON
ejpam-6024	4	4	illustrate	illustrate	VERB
ejpam-6024	4	5	the	the	DET
ejpam-6024	4	6	behaviour	behaviour	NOUN
ejpam-6024	4	7	of	of	ADP
ejpam-6024	4	8	our	our	PRON
ejpam-6024	4	9	proposed	propose	VERB
ejpam-6024	4	10	estimator	estimator	NOUN
ejpam-6024	4	11	and	and	CCONJ
ejpam-6024	4	12	give	give	VERB
ejpam-6024	4	13	a	a	DET
ejpam-6024	4	14	comparison	comparison	NOUN
ejpam-6024	4	15	between	between	ADP
ejpam-6024	4	16	this	this	DET
ejpam-6024	4	17	estimator	estimator	NOUN
ejpam-6024	4	18	and	and	CCONJ
ejpam-6024	4	19	the	the	DET
ejpam-6024	4	20	classical	classical	ADJ
ejpam-6024	4	21	one	one	NUM
ejpam-6024	4	22	in	in	ADP
ejpam-6024	4	23	terms	term	NOUN
ejpam-6024	4	24	of	of	ADP
ejpam-6024	4	25	the	the	DET
ejpam-6024	4	26	absolute	absolute	ADJ
ejpam-6024	4	27	bias	bias	NOUN
ejpam-6024	4	28	and	and	CCONJ
ejpam-6024	4	29	the	the	DET
ejpam-6024	4	30	root	root	NOUN
ejpam-6024	4	31	median	median	NOUN
ejpam-6024	4	32	squared	square	VERB
ejpam-6024	4	33	error	error	NOUN
ejpam-6024	4	34	.	.	PUNCT
ejpam-6024	5	1	2020	2020	NUM
ejpam-6024	5	2	mathematics	mathematic	NOUN
ejpam-6024	5	3	subject	subject	NOUN
ejpam-6024	5	4	classifications	classification	NOUN
ejpam-6024	5	5	:	:	PUNCT
ejpam-6024	5	6	62e20	62e20	NUM
ejpam-6024	5	7	,	,	PUNCT
ejpam-6024	5	8	62h12	62h12	NUM
ejpam-6024	5	9	key	key	ADJ
ejpam-6024	5	10	words	word	NOUN
ejpam-6024	5	11	and	and	CCONJ
ejpam-6024	5	12	phrases	phrase	NOUN
ejpam-6024	5	13	:	:	PUNCT
ejpam-6024	5	14	risk	risk	NOUN
ejpam-6024	5	15	premiums	premium	NOUN
ejpam-6024	5	16	,	,	PUNCT
ejpam-6024	5	17	insurance	insurance	NOUN
ejpam-6024	5	18	,	,	PUNCT
ejpam-6024	5	19	kernel	kernel	PROPN
ejpam-6024	5	20	estimation	estimation	PROPN
ejpam-6024	5	21	,	,	PUNCT
ejpam-6024	5	22	heavy	heavy	ADV
ejpam-6024	5	23	-	-	PUNCT
ejpam-6024	5	24	tailed	tailed	ADJ
ejpam-6024	5	25	,	,	PUNCT
ejpam-6024	5	26	bias	bias	NOUN
ejpam-6024	5	27	reduction	reduction	NOUN
ejpam-6024	5	28	,	,	PUNCT
ejpam-6024	5	29	extreme	extreme	ADJ
ejpam-6024	5	30	value	value	NOUN
ejpam-6024	5	31	,	,	PUNCT
ejpam-6024	5	32	dependence	dependence	NOUN
ejpam-6024	5	33	serials	serial	NOUN
ejpam-6024	5	34	1	1	NUM
ejpam-6024	5	35	.	.	PUNCT
ejpam-6024	6	1	introduction	introduction	NOUN
ejpam-6024	6	2	risk	risk	NOUN
ejpam-6024	6	3	measurement	measurement	NOUN
ejpam-6024	6	4	or	or	CCONJ
ejpam-6024	6	5	premium	premium	NOUN
ejpam-6024	6	6	calculation	calculation	NOUN
ejpam-6024	6	7	principles	principle	NOUN
ejpam-6024	6	8	are	be	AUX
ejpam-6024	6	9	used	use	VERB
ejpam-6024	6	10	to	to	PART
ejpam-6024	6	11	quantify	quantify	VERB
ejpam-6024	6	12	insurance	insurance	NOUN
ejpam-6024	6	13	losses	loss	NOUN
ejpam-6024	6	14	and	and	CCONJ
ejpam-6024	6	15	financial	financial	ADJ
ejpam-6024	6	16	valuations	valuation	NOUN
ejpam-6024	6	17	.	.	PUNCT
ejpam-6024	7	1	a	a	DET
ejpam-6024	7	2	number	number	NOUN
ejpam-6024	7	3	of	of	ADP
ejpam-6024	7	4	risk	risk	NOUN
ejpam-6024	7	5	measures	measure	NOUN
ejpam-6024	7	6	have	have	AUX
ejpam-6024	7	7	been	be	AUX
ejpam-6024	7	8	proposed	propose	VERB
ejpam-6024	7	9	to	to	PART
ejpam-6024	7	10	manage	manage	VERB
ejpam-6024	7	11	these	these	DET
ejpam-6024	7	12	risks	risk	NOUN
ejpam-6024	7	13	,	,	PUNCT
ejpam-6024	7	14	and	and	CCONJ
ejpam-6024	7	15	we	we	PRON
ejpam-6024	7	16	refer	refer	VERB
ejpam-6024	7	17	to	to	ADP
ejpam-6024	7	18	[	[	X
ejpam-6024	7	19	1	1	NUM
ejpam-6024	7	20	]	]	PUNCT
ejpam-6024	7	21	,	,	PUNCT
ejpam-6024	8	1	[	[	X
ejpam-6024	8	2	2	2	NUM
ejpam-6024	8	3	]	]	PUNCT
ejpam-6024	8	4	,	,	PUNCT
ejpam-6024	8	5	[	[	X
ejpam-6024	8	6	3	3	NUM
ejpam-6024	8	7	]	]	PUNCT
ejpam-6024	8	8	,	,	PUNCT
ejpam-6024	8	9	[	[	X
ejpam-6024	8	10	4	4	X
ejpam-6024	8	11	]	]	PUNCT
ejpam-6024	8	12	and	and	CCONJ
ejpam-6024	8	13	the	the	DET
ejpam-6024	8	14	references	reference	NOUN
ejpam-6024	8	15	therein	therein	ADV
ejpam-6024	8	16	.	.	PUNCT
ejpam-6024	9	1	the	the	DET
ejpam-6024	9	2	most	most	ADV
ejpam-6024	9	3	commonly	commonly	ADV
ejpam-6024	9	4	used	use	VERB
ejpam-6024	9	5	one	one	NUM
ejpam-6024	9	6	is	be	AUX
ejpam-6024	9	7	the	the	DET
ejpam-6024	9	8	net	net	ADJ
ejpam-6024	9	9	premium	premium	NOUN
ejpam-6024	9	10	(	(	PUNCT
ejpam-6024	9	11	mean	mean	NOUN
ejpam-6024	9	12	)	)	PUNCT
ejpam-6024	9	13	of	of	ADP
ejpam-6024	9	14	a	a	DET
ejpam-6024	9	15	non	non	ADJ
ejpam-6024	9	16	-	-	ADJ
ejpam-6024	9	17	negative	negative	ADJ
ejpam-6024	9	18	loss	loss	NOUN
ejpam-6024	9	19	random	random	ADJ
ejpam-6024	9	20	variable	variable	NOUN
ejpam-6024	9	21	x	x	NOUN
ejpam-6024	9	22	over	over	ADP
ejpam-6024	9	23	the	the	DET
ejpam-6024	9	24	probability	probability	NOUN
ejpam-6024	9	25	space	space	NOUN
ejpam-6024	9	26	(	(	PUNCT
ejpam-6024	9	27	ω	ω	NOUN
ejpam-6024	9	28	,	,	PUNCT
ejpam-6024	9	29	a	a	PRON
ejpam-6024	9	30	,	,	PUNCT
ejpam-6024	9	31	p	p	NOUN
ejpam-6024	9	32	)	)	PUNCT
ejpam-6024	9	33	,	,	PUNCT
ejpam-6024	9	34	with	with	ADP
ejpam-6024	9	35	a	a	DET
ejpam-6024	9	36	tail	tail	NOUN
ejpam-6024	9	37	distribution	distribution	NOUN
ejpam-6024	9	38	function	function	NOUN
ejpam-6024	9	39	f	f	NOUN
ejpam-6024	9	40	:	:	PUNCT
ejpam-6024	9	41	=	=	SYM
ejpam-6024	9	42	1−	1−	NUM
ejpam-6024	9	43	f	f	NOUN
ejpam-6024	9	44	and	and	CCONJ
ejpam-6024	9	45	defined	define	VERB
ejpam-6024	9	46	as	as	ADP
ejpam-6024	9	47	π	π	PROPN
ejpam-6024	9	48	=	=	SYM
ejpam-6024	9	49	e(x	e(x	NUM
ejpam-6024	9	50	)	)	PUNCT
ejpam-6024	10	1	=	=	SYM
ejpam-6024	10	2	∫	∫	PROPN
ejpam-6024	11	1	∞	∞	NUM
ejpam-6024	11	2	0	0	NUM
ejpam-6024	12	1	f	f	PROPN
ejpam-6024	12	2	(	(	PUNCT
ejpam-6024	12	3	x)dx	x)dx	PROPN
ejpam-6024	12	4	.	.	PUNCT
ejpam-6024	12	5	∗corresponding	∗corresponde	VERB
ejpam-6024	12	6	author	author	NOUN
ejpam-6024	12	7	.	.	PUNCT
ejpam-6024	13	1	doi	doi	NOUN
ejpam-6024	13	2	:	:	PUNCT
ejpam-6024	13	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6024	https://doi.org/10.29020/nybg.ejpam.v18i2.6024	NOUN
ejpam-6024	13	4	email	email	NOUN
ejpam-6024	13	5	addresses	address	NOUN
ejpam-6024	13	6	:	:	PUNCT
ejpam-6024	13	7	aminetou.aghrabatt@gmail.com	aminetou.aghrabatt@gmail.com	X
ejpam-6024	13	8	(	(	PUNCT
ejpam-6024	13	9	a.	a.	NOUN
ejpam-6024	13	10	aghrabatt	aghrabatt	PROPN
ejpam-6024	13	11	)	)	PUNCT
ejpam-6024	13	12	,	,	PUNCT
ejpam-6024	13	13	elhadji.deme@egb.edu.sn	elhadji.deme@egb.edu.sn	PROPN
ejpam-6024	13	14	(	(	PUNCT
ejpam-6024	13	15	e.	e.	PROPN
ejpam-6024	13	16	deme	deme	PROPN
ejpam-6024	13	17	)	)	PUNCT
ejpam-6024	13	18	,	,	PUNCT
ejpam-6024	13	19	h.sidiya84@gmail.com	h.sidiya84@gmail.com	PROPN
ejpam-6024	13	20	s.	s.	PROPN
ejpam-6024	13	21	ahmedou	ahmedou	PROPN
ejpam-6024	13	22	)	)	PUNCT
ejpam-6024	13	23	,	,	PUNCT
ejpam-6024	13	24	barrymamadou-aliou@ugb.edu.sn	barrymamadou-aliou@ugb.edu.sn	NOUN
ejpam-6024	13	25	(	(	PUNCT
ejpam-6024	13	26	m.	m.	NOUN
ejpam-6024	13	27	a.	a.	PROPN
ejpam-6024	13	28	barry	barry	PROPN
ejpam-6024	13	29	)	)	PUNCT
ejpam-6024	13	30	,	,	PUNCT
ejpam-6024	13	31	khalil.elwaled@gmail.com	khalil.elwaled@gmail.com	X
ejpam-6024	13	32	(	(	PUNCT
ejpam-6024	13	33	k.	k.	PROPN
ejpam-6024	13	34	el	el	PROPN
ejpam-6024	13	35	waled	waled	PROPN
ejpam-6024	13	36	)	)	PUNCT
ejpam-6024	13	37	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6024	13	38	1	1	NUM
ejpam-6024	13	39	copyright	copyright	NOUN
ejpam-6024	13	40	:	:	PUNCT
ejpam-6024	14	1	©	©	PROPN
ejpam-6024	14	2	2025	2025	NUM
ejpam-6024	14	3	the	the	DET
ejpam-6024	14	4	author(s	author(s	NOUN
ejpam-6024	14	5	)	)	PUNCT
ejpam-6024	14	6	.	.	PUNCT
ejpam-6024	15	1	(	(	PUNCT
ejpam-6024	15	2	cc	cc	NOUN
ejpam-6024	15	3	by	by	ADP
ejpam-6024	15	4	-	-	PUNCT
ejpam-6024	15	5	nc	nc	PROPN
ejpam-6024	15	6	4.0	4.0	NUM
ejpam-6024	15	7	)	)	PUNCT
ejpam-6024	15	8	a.	a.	NOUN
ejpam-6024	15	9	aghrabatt	aghrabatt	NOUN
ejpam-6024	15	10	et	et	PROPN
ejpam-6024	15	11	al	al	PROPN
ejpam-6024	15	12	.	.	PUNCT
ejpam-6024	15	13	/	/	SYM
ejpam-6024	15	14	eur	eur	PROPN
ejpam-6024	15	15	.	.	PUNCT
ejpam-6024	16	1	j.	j.	PROPN
ejpam-6024	16	2	pure	pure	PROPN
ejpam-6024	16	3	appl	appl	PROPN
ejpam-6024	16	4	.	.	PROPN
ejpam-6024	16	5	math	math	PROPN
ejpam-6024	16	6	,	,	PUNCT
ejpam-6024	16	7	18	18	NUM
ejpam-6024	16	8	(	(	PUNCT
ejpam-6024	16	9	2	2	NUM
ejpam-6024	16	10	)	)	PUNCT
ejpam-6024	16	11	(	(	PUNCT
ejpam-6024	16	12	2025	2025	NUM
ejpam-6024	16	13	)	)	PUNCT
ejpam-6024	16	14	,	,	PUNCT
ejpam-6024	16	15	6024	6024	NUM
ejpam-6024	16	16	2	2	NUM
ejpam-6024	16	17	of	of	ADP
ejpam-6024	16	18	25	25	NUM
ejpam-6024	16	19	premiums	premium	NOUN
ejpam-6024	16	20	are	be	AUX
ejpam-6024	16	21	required	require	VERB
ejpam-6024	16	22	to	to	PART
ejpam-6024	16	23	be	be	AUX
ejpam-6024	16	24	greater	great	ADJ
ejpam-6024	16	25	than	than	ADP
ejpam-6024	16	26	or	or	CCONJ
ejpam-6024	16	27	equal	equal	ADJ
ejpam-6024	16	28	to	to	ADP
ejpam-6024	16	29	the	the	DET
ejpam-6024	16	30	mean	mean	ADJ
ejpam-6024	16	31	e(x	e(x	NUM
ejpam-6024	16	32	)	)	PUNCT
ejpam-6024	16	33	in	in	ADP
ejpam-6024	16	34	order	order	NOUN
ejpam-6024	16	35	to	to	PART
ejpam-6024	16	36	avoid	avoid	VERB
ejpam-6024	16	37	that	that	SCONJ
ejpam-6024	16	38	the	the	DET
ejpam-6024	16	39	insurer	insurer	NOUN
ejpam-6024	16	40	loses	lose	VERB
ejpam-6024	16	41	money	money	NOUN
ejpam-6024	16	42	on	on	ADP
ejpam-6024	16	43	average	average	ADJ
ejpam-6024	16	44	.	.	PUNCT
ejpam-6024	17	1	one	one	NUM
ejpam-6024	17	2	way	way	NOUN
ejpam-6024	17	3	to	to	PART
ejpam-6024	17	4	achieve	achieve	VERB
ejpam-6024	17	5	this	this	DET
ejpam-6024	17	6	goal	goal	NOUN
ejpam-6024	17	7	consists	consist	VERB
ejpam-6024	17	8	in	in	ADP
ejpam-6024	17	9	considering	consider	VERB
ejpam-6024	17	10	the	the	DET
ejpam-6024	17	11	following	follow	VERB
ejpam-6024	17	12	distortion	distortion	NOUN
ejpam-6024	17	13	risk	risk	NOUN
ejpam-6024	17	14	premium	premium	NOUN
ejpam-6024	17	15	introduced	introduce	VERB
ejpam-6024	17	16	by	by	ADP
ejpam-6024	17	17	[	[	X
ejpam-6024	17	18	4	4	NUM
ejpam-6024	17	19	]	]	PUNCT
ejpam-6024	17	20	as	as	ADP
ejpam-6024	17	21	:	:	PUNCT
ejpam-6024	17	22	πg	πg	PROPN
ejpam-6024	17	23	=	=	PUNCT
ejpam-6024	18	1	∫	∫	PROPN
ejpam-6024	18	2	∞	∞	NUM
ejpam-6024	18	3	0	0	NUM
ejpam-6024	18	4	g(f	g(f	NOUN
ejpam-6024	18	5	(	(	PUNCT
ejpam-6024	18	6	x))dx	x))dx	PROPN
ejpam-6024	18	7	,	,	PUNCT
ejpam-6024	18	8	(	(	PUNCT
ejpam-6024	18	9	1	1	X
ejpam-6024	18	10	)	)	PUNCT
ejpam-6024	18	11	where	where	SCONJ
ejpam-6024	18	12	g	g	PROPN
ejpam-6024	18	13	is	be	AUX
ejpam-6024	18	14	a	a	DET
ejpam-6024	18	15	concave	concave	NOUN
ejpam-6024	18	16	function	function	NOUN
ejpam-6024	18	17	defined	define	VERB
ejpam-6024	18	18	from	from	ADP
ejpam-6024	18	19	[	[	X
ejpam-6024	18	20	0	0	NUM
ejpam-6024	18	21	,	,	PUNCT
ejpam-6024	18	22	1	1	NUM
ejpam-6024	18	23	]	]	PUNCT
ejpam-6024	18	24	onto	onto	ADP
ejpam-6024	18	25	[	[	X
ejpam-6024	18	26	0	0	NUM
ejpam-6024	18	27	,	,	PUNCT
ejpam-6024	18	28	1	1	NUM
ejpam-6024	18	29	]	]	PUNCT
ejpam-6024	18	30	,	,	PUNCT
ejpam-6024	18	31	such	such	ADJ
ejpam-6024	18	32	that	that	SCONJ
ejpam-6024	18	33	g(0	g(0	NOUN
ejpam-6024	18	34	)	)	PUNCT
ejpam-6024	18	35	=	=	SYM
ejpam-6024	18	36	0	0	NUM
ejpam-6024	18	37	and	and	CCONJ
ejpam-6024	18	38	g(1	g(1	PROPN
ejpam-6024	18	39	)	)	PUNCT
ejpam-6024	18	40	=	=	SYM
ejpam-6024	18	41	1	1	NUM
ejpam-6024	18	42	,	,	PUNCT
ejpam-6024	18	43	and	and	CCONJ
ejpam-6024	18	44	called	call	VERB
ejpam-6024	18	45	the	the	DET
ejpam-6024	18	46	distortion	distortion	NOUN
ejpam-6024	18	47	function	function	NOUN
ejpam-6024	18	48	.	.	PUNCT
ejpam-6024	19	1	the	the	DET
ejpam-6024	19	2	distortion	distortion	NOUN
ejpam-6024	19	3	function	function	NOUN
ejpam-6024	19	4	g	g	PROPN
ejpam-6024	19	5	is	be	AUX
ejpam-6024	19	6	parameterized	parameterize	VERB
ejpam-6024	19	7	by	by	ADP
ejpam-6024	19	8	a	a	DET
ejpam-6024	19	9	one	one	NUM
ejpam-6024	19	10	-	-	PUNCT
ejpam-6024	19	11	dimensional	dimensional	ADJ
ejpam-6024	19	12	parameter	parameter	NOUN
ejpam-6024	19	13	β	β	X
ejpam-6024	19	14	≥	≥	NUM
ejpam-6024	19	15	1	1	NUM
ejpam-6024	19	16	,	,	PUNCT
ejpam-6024	19	17	called	call	VERB
ejpam-6024	19	18	the	the	DET
ejpam-6024	19	19	distortion	distortion	NOUN
ejpam-6024	19	20	parameter	parameter	NOUN
ejpam-6024	19	21	and	and	CCONJ
ejpam-6024	19	22	represents	represent	VERB
ejpam-6024	19	23	the	the	DET
ejpam-6024	19	24	risk	risk	NOUN
ejpam-6024	19	25	aversion	aversion	NOUN
ejpam-6024	19	26	.	.	PUNCT
ejpam-6024	20	1	it	it	PRON
ejpam-6024	20	2	controls	control	VERB
ejpam-6024	20	3	the	the	DET
ejpam-6024	20	4	amount	amount	NOUN
ejpam-6024	20	5	of	of	ADP
ejpam-6024	20	6	the	the	DET
ejpam-6024	20	7	risk	risk	NOUN
ejpam-6024	20	8	loading	loading	NOUN
ejpam-6024	20	9	included	include	VERB
ejpam-6024	20	10	in	in	ADP
ejpam-6024	20	11	the	the	DET
ejpam-6024	20	12	premium	premium	NOUN
ejpam-6024	20	13	for	for	ADP
ejpam-6024	20	14	a	a	DET
ejpam-6024	20	15	given	give	VERB
ejpam-6024	20	16	riskiness	riskiness	NOUN
ejpam-6024	20	17	of	of	ADP
ejpam-6024	20	18	the	the	DET
ejpam-6024	20	19	loss	loss	NOUN
ejpam-6024	20	20	variable	variable	NOUN
ejpam-6024	20	21	x.	x.	NOUN
ejpam-6024	20	22	let	let	VERB
ejpam-6024	20	23	q	q	NOUN
ejpam-6024	20	24	be	be	AUX
ejpam-6024	20	25	the	the	DET
ejpam-6024	20	26	quantile	quantile	ADJ
ejpam-6024	20	27	function	function	NOUN
ejpam-6024	20	28	corresponding	correspond	VERB
ejpam-6024	20	29	to	to	ADP
ejpam-6024	20	30	f	f	PROPN
ejpam-6024	20	31	and	and	CCONJ
ejpam-6024	20	32	defined	define	VERB
ejpam-6024	20	33	by	by	ADP
ejpam-6024	20	34	q(s	q(	VERB
ejpam-6024	20	35	)	)	PUNCT
ejpam-6024	20	36	=	=	PUNCT
ejpam-6024	20	37	inf{x	inf{x	VERB
ejpam-6024	20	38	:	:	PUNCT
ejpam-6024	20	39	f	f	PROPN
ejpam-6024	20	40	(	(	PUNCT
ejpam-6024	20	41	x	x	X
ejpam-6024	20	42	)	)	PUNCT
ejpam-6024	20	43	≥	≥	PRON
ejpam-6024	20	44	s	s	PART
ejpam-6024	20	45	}	}	PUNCT
ejpam-6024	20	46	,	,	PUNCT
ejpam-6024	20	47	for	for	ADP
ejpam-6024	20	48	every	every	DET
ejpam-6024	20	49	s	s	X
ejpam-6024	20	50	∈	∈	NOUN
ejpam-6024	21	1	[	[	X
ejpam-6024	21	2	0	0	NUM
ejpam-6024	21	3	,	,	PUNCT
ejpam-6024	21	4	1	1	NUM
ejpam-6024	21	5	)	)	PUNCT
ejpam-6024	21	6	.	.	PUNCT
ejpam-6024	22	1	the	the	DET
ejpam-6024	22	2	quantile	quantile	ADJ
ejpam-6024	22	3	function	function	NOUN
ejpam-6024	22	4	q	q	PROPN
ejpam-6024	22	5	plays	play	VERB
ejpam-6024	22	6	a	a	DET
ejpam-6024	22	7	pivotal	pivotal	ADJ
ejpam-6024	22	8	role	role	NOUN
ejpam-6024	22	9	in	in	ADP
ejpam-6024	22	10	defining	define	VERB
ejpam-6024	22	11	numerous	numerous	ADJ
ejpam-6024	22	12	risk	risk	NOUN
ejpam-6024	22	13	measures	measure	NOUN
ejpam-6024	22	14	,	,	PUNCT
ejpam-6024	22	15	and	and	CCONJ
ejpam-6024	22	16	is	be	AUX
ejpam-6024	22	17	a	a	DET
ejpam-6024	22	18	well	well	ADV
ejpam-6024	22	19	known	know	VERB
ejpam-6024	22	20	risk	risk	NOUN
ejpam-6024	22	21	measure	measure	NOUN
ejpam-6024	22	22	itself	itself	PRON
ejpam-6024	22	23	,	,	PUNCT
ejpam-6024	22	24	called	call	VERB
ejpam-6024	22	25	the	the	DET
ejpam-6024	22	26	value	value	NOUN
ejpam-6024	22	27	-	-	PUNCT
ejpam-6024	22	28	at	at	ADP
ejpam-6024	22	29	-	-	PUNCT
ejpam-6024	22	30	risk	risk	NOUN
ejpam-6024	22	31	(	(	PUNCT
ejpam-6024	22	32	var	var	NOUN
ejpam-6024	22	33	)	)	PUNCT
ejpam-6024	22	34	.	.	PUNCT
ejpam-6024	23	1	by	by	ADP
ejpam-6024	23	2	a	a	DET
ejpam-6024	23	3	change	change	NOUN
ejpam-6024	23	4	of	of	ADP
ejpam-6024	23	5	variables	variable	NOUN
ejpam-6024	23	6	,	,	PUNCT
ejpam-6024	23	7	the	the	DET
ejpam-6024	23	8	distortion	distortion	NOUN
ejpam-6024	23	9	risk	risk	NOUN
ejpam-6024	23	10	premium	premium	NOUN
ejpam-6024	23	11	πg(r	πg(r	PUNCT
ejpam-6024	23	12	)	)	PUNCT
ejpam-6024	23	13	can	can	AUX
ejpam-6024	23	14	be	be	AUX
ejpam-6024	23	15	rewritten	rewrite	VERB
ejpam-6024	23	16	in	in	ADP
ejpam-6024	23	17	terms	term	NOUN
ejpam-6024	23	18	of	of	ADP
ejpam-6024	23	19	the	the	DET
ejpam-6024	23	20	quantile	quantile	ADJ
ejpam-6024	23	21	function	function	NOUN
ejpam-6024	23	22	q	q	PROPN
ejpam-6024	23	23	as	as	SCONJ
ejpam-6024	23	24	follows	follow	VERB
ejpam-6024	23	25	:	:	PUNCT
ejpam-6024	23	26	πg	πg	ADP
ejpam-6024	23	27	=	=	PUNCT
ejpam-6024	24	1	−	−	PROPN
ejpam-6024	24	2	∫	∫	PROPN
ejpam-6024	24	3	1	1	NUM
ejpam-6024	24	4	0	0	NUM
ejpam-6024	24	5	g(s)dq(1−	g(s)dq(1−	PROPN
ejpam-6024	24	6	s	s	PART
ejpam-6024	24	7	)	)	PUNCT
ejpam-6024	24	8	.	.	PUNCT
ejpam-6024	25	1	(	(	PUNCT
ejpam-6024	25	2	2	2	X
ejpam-6024	25	3	)	)	PUNCT
ejpam-6024	25	4	the	the	DET
ejpam-6024	25	5	risk	risk	NOUN
ejpam-6024	25	6	measure	measure	NOUN
ejpam-6024	25	7	πg	πg	ADP
ejpam-6024	25	8	,	,	PUNCT
ejpam-6024	25	9	which	which	PRON
ejpam-6024	25	10	can	can	AUX
ejpam-6024	25	11	also	also	ADV
ejpam-6024	25	12	be	be	AUX
ejpam-6024	25	13	viewed	view	VERB
ejpam-6024	25	14	as	as	ADP
ejpam-6024	25	15	a	a	DET
ejpam-6024	25	16	premium	premium	NOUN
ejpam-6024	25	17	calculation	calculation	NOUN
ejpam-6024	25	18	principle	principle	NOUN
ejpam-6024	25	19	,	,	PUNCT
ejpam-6024	25	20	has	have	AUX
ejpam-6024	25	21	manifested	manifest	VERB
ejpam-6024	25	22	in	in	ADP
ejpam-6024	25	23	the	the	DET
ejpam-6024	25	24	econometric	econometric	ADJ
ejpam-6024	25	25	literature	literature	NOUN
ejpam-6024	25	26	,	,	PUNCT
ejpam-6024	25	27	particularly	particularly	ADV
ejpam-6024	25	28	in	in	ADP
ejpam-6024	25	29	dual	dual	ADJ
ejpam-6024	25	30	theory	theory	NOUN
ejpam-6024	25	31	of	of	ADP
ejpam-6024	25	32	choice	choice	NOUN
ejpam-6024	25	33	under	under	ADP
ejpam-6024	25	34	risk	risk	NOUN
ejpam-6024	25	35	,	,	PUNCT
ejpam-6024	25	36	and	and	CCONJ
ejpam-6024	25	37	has	have	AUX
ejpam-6024	25	38	been	be	AUX
ejpam-6024	25	39	introduced	introduce	VERB
ejpam-6024	25	40	into	into	ADP
ejpam-6024	25	41	actuarial	actuarial	ADJ
ejpam-6024	25	42	literature	literature	NOUN
ejpam-6024	25	43	by	by	ADP
ejpam-6024	25	44	[	[	X
ejpam-6024	25	45	4	4	NUM
ejpam-6024	25	46	]	]	PUNCT
ejpam-6024	25	47	.	.	PUNCT
ejpam-6024	26	1	a	a	DET
ejpam-6024	26	2	number	number	NOUN
ejpam-6024	26	3	of	of	ADP
ejpam-6024	26	4	risk	risk	NOUN
ejpam-6024	26	5	measures	measure	NOUN
ejpam-6024	26	6	of	of	ADP
ejpam-6024	26	7	this	this	DET
ejpam-6024	26	8	form	form	NOUN
ejpam-6024	26	9	have	have	AUX
ejpam-6024	26	10	been	be	AUX
ejpam-6024	26	11	discussed	discuss	VERB
ejpam-6024	26	12	by	by	ADP
ejpam-6024	26	13	[	[	X
ejpam-6024	26	14	5	5	NUM
ejpam-6024	26	15	]	]	PUNCT
ejpam-6024	26	16	.	.	PUNCT
ejpam-6024	27	1	important	important	ADJ
ejpam-6024	27	2	properties	property	NOUN
ejpam-6024	27	3	of	of	ADP
ejpam-6024	27	4	the	the	DET
ejpam-6024	27	5	distortion	distortion	NOUN
ejpam-6024	27	6	risk	risk	NOUN
ejpam-6024	27	7	measure	measure	NOUN
ejpam-6024	27	8	,	,	PUNCT
ejpam-6024	27	9	such	such	ADJ
ejpam-6024	27	10	as	as	ADP
ejpam-6024	27	11	coherence	coherence	NOUN
ejpam-6024	27	12	and	and	CCONJ
ejpam-6024	27	13	second	second	ADJ
ejpam-6024	27	14	order	order	NOUN
ejpam-6024	27	15	stochastic	stochastic	ADJ
ejpam-6024	27	16	dominance	dominance	NOUN
ejpam-6024	27	17	have	have	AUX
ejpam-6024	27	18	been	be	AUX
ejpam-6024	27	19	well	well	ADV
ejpam-6024	27	20	studied	study	VERB
ejpam-6024	27	21	see	see	NOUN
ejpam-6024	27	22	,	,	PUNCT
ejpam-6024	27	23	for	for	ADP
ejpam-6024	27	24	example	example	NOUN
ejpam-6024	28	1	[	[	X
ejpam-6024	28	2	6	6	NUM
ejpam-6024	28	3	]	]	PUNCT
ejpam-6024	28	4	,	,	PUNCT
ejpam-6024	28	5	[	[	X
ejpam-6024	28	6	7	7	X
ejpam-6024	28	7	]	]	PUNCT
ejpam-6024	28	8	and	and	CCONJ
ejpam-6024	29	1	[	[	X
ejpam-6024	29	2	5	5	NUM
ejpam-6024	29	3	]	]	PUNCT
ejpam-6024	29	4	.	.	PUNCT
ejpam-6024	30	1	note	note	VERB
ejpam-6024	30	2	that	that	SCONJ
ejpam-6024	30	3	the	the	DET
ejpam-6024	30	4	class	class	NOUN
ejpam-6024	30	5	of	of	ADP
ejpam-6024	30	6	concave	concave	ADJ
ejpam-6024	30	7	distortion	distortion	NOUN
ejpam-6024	30	8	risk	risk	NOUN
ejpam-6024	30	9	measures	measure	NOUN
ejpam-6024	30	10	is	be	AUX
ejpam-6024	30	11	only	only	ADV
ejpam-6024	30	12	a	a	DET
ejpam-6024	30	13	subset	subset	NOUN
ejpam-6024	30	14	of	of	ADP
ejpam-6024	30	15	the	the	DET
ejpam-6024	30	16	class	class	NOUN
ejpam-6024	30	17	of	of	ADP
ejpam-6024	30	18	coherent	coherent	ADJ
ejpam-6024	30	19	risk	risk	NOUN
ejpam-6024	30	20	measures	measure	NOUN
ejpam-6024	30	21	.	.	PUNCT
ejpam-6024	31	1	many	many	ADJ
ejpam-6024	31	2	special	special	ADJ
ejpam-6024	31	3	cases	case	NOUN
ejpam-6024	31	4	that	that	PRON
ejpam-6024	31	5	have	have	AUX
ejpam-6024	31	6	arisen	arise	VERB
ejpam-6024	31	7	in	in	ADP
ejpam-6024	31	8	the	the	DET
ejpam-6024	31	9	finance	finance	NOUN
ejpam-6024	31	10	and	and	CCONJ
ejpam-6024	31	11	insurance	insurance	NOUN
ejpam-6024	31	12	literature	literature	NOUN
ejpam-6024	31	13	are	be	AUX
ejpam-6024	31	14	such	such	ADJ
ejpam-6024	31	15	:	:	PUNCT
ejpam-6024	31	16	•	•	ADP
ejpam-6024	31	17	the	the	DET
ejpam-6024	31	18	net	net	ADJ
ejpam-6024	31	19	premium	premium	NOUN
ejpam-6024	31	20	principle	principle	NOUN
ejpam-6024	31	21	:	:	PUNCT
ejpam-6024	31	22	g(x	g(x	X
ejpam-6024	31	23	)	)	PUNCT
ejpam-6024	32	1	=	=	PUNCT
ejpam-6024	32	2	x	x	SYM
ejpam-6024	32	3	•	•	NUM
ejpam-6024	32	4	value	value	NOUN
ejpam-6024	32	5	-	-	PUNCT
ejpam-6024	32	6	at	at	ADP
ejpam-6024	32	7	-	-	PUNCT
ejpam-6024	32	8	risk	risk	NOUN
ejpam-6024	32	9	(	(	PUNCT
ejpam-6024	32	10	varα	varα	NOUN
ejpam-6024	32	11	):	):	PUNCT
ejpam-6024	32	12	g(x	g(x	NOUN
ejpam-6024	32	13	)	)	PUNCT
ejpam-6024	33	1	=	=	SYM
ejpam-6024	33	2	1(1	1(1	NUM
ejpam-6024	33	3	−	−	NOUN
ejpam-6024	33	4	α	α	NOUN
ejpam-6024	33	5	,	,	PUNCT
ejpam-6024	33	6	1	1	NUM
ejpam-6024	33	7	)	)	PUNCT
ejpam-6024	33	8	,	,	PUNCT
ejpam-6024	33	9	for	for	ADP
ejpam-6024	33	10	some	some	DET
ejpam-6024	33	11	α	α	NOUN
ejpam-6024	33	12	∈	∈	PROPN
ejpam-6024	33	13	(	(	PUNCT
ejpam-6024	33	14	0	0	NUM
ejpam-6024	33	15	,	,	PUNCT
ejpam-6024	33	16	1	1	NUM
ejpam-6024	33	17	)	)	PUNCT
ejpam-6024	33	18	,	,	PUNCT
ejpam-6024	33	19	where	where	SCONJ
ejpam-6024	33	20	1	1	NUM
ejpam-6024	33	21	(	(	PUNCT
ejpam-6024	33	22	.	.	PUNCT
ejpam-6024	33	23	)	)	PUNCT
ejpam-6024	33	24	is	be	AUX
ejpam-6024	33	25	the	the	DET
ejpam-6024	33	26	indicator	indicator	NOUN
ejpam-6024	33	27	function	function	NOUN
ejpam-6024	33	28	.	.	PUNCT
ejpam-6024	34	1	•	•	NOUN
ejpam-6024	34	2	tail	tail	NOUN
ejpam-6024	34	3	value	value	NOUN
ejpam-6024	34	4	at	at	ADP
ejpam-6024	34	5	risk	risk	NOUN
ejpam-6024	34	6	:	:	PUNCT
ejpam-6024	34	7	g(x	g(x	NOUN
ejpam-6024	34	8	)	)	PUNCT
ejpam-6024	35	1	=	=	SYM
ejpam-6024	35	2	min(x/(1−	min(x/(1−	NOUN
ejpam-6024	35	3	α	α	X
ejpam-6024	35	4	)	)	PUNCT
ejpam-6024	35	5	,	,	PUNCT
ejpam-6024	35	6	1	1	NUM
ejpam-6024	35	7	)	)	PUNCT
ejpam-6024	35	8	,	,	PUNCT
ejpam-6024	35	9	for	for	ADP
ejpam-6024	35	10	some	some	DET
ejpam-6024	35	11	α	α	NOUN
ejpam-6024	35	12	∈	∈	PROPN
ejpam-6024	35	13	(	(	PUNCT
ejpam-6024	35	14	0	0	NUM
ejpam-6024	35	15	,	,	PUNCT
ejpam-6024	35	16	1	1	NUM
ejpam-6024	35	17	)	)	PUNCT
ejpam-6024	35	18	.	.	PUNCT
ejpam-6024	36	1	•	•	NUM
ejpam-6024	36	2	proportional	proportional	ADJ
ejpam-6024	36	3	hazard	hazard	NOUN
ejpam-6024	36	4	transform	transform	NOUN
ejpam-6024	36	5	:	:	PUNCT
ejpam-6024	36	6	g(x	g(x	NOUN
ejpam-6024	36	7	)	)	PUNCT
ejpam-6024	36	8	=	=	SYM
ejpam-6024	37	1	x1/ϱ	x1/ϱ	PROPN
ejpam-6024	37	2	,	,	PUNCT
ejpam-6024	37	3	for	for	ADP
ejpam-6024	37	4	some	some	DET
ejpam-6024	37	5	ϱ	ϱ	PROPN
ejpam-6024	37	6	≥	≥	NOUN
ejpam-6024	37	7	1	1	NUM
ejpam-6024	37	8	.	.	NOUN
ejpam-6024	37	9	•	•	NOUN
ejpam-6024	37	10	dual	dual	ADJ
ejpam-6024	37	11	-	-	PUNCT
ejpam-6024	37	12	power	power	NOUN
ejpam-6024	37	13	transform	transform	NOUN
ejpam-6024	37	14	:	:	PUNCT
ejpam-6024	37	15	g(x	g(x	NOUN
ejpam-6024	37	16	)	)	PUNCT
ejpam-6024	37	17	=	=	SYM
ejpam-6024	38	1	1−	1−	NUM
ejpam-6024	38	2	(	(	PUNCT
ejpam-6024	38	3	1−	1−	NUM
ejpam-6024	38	4	x)ϱ	x)ϱ	NOUN
ejpam-6024	38	5	,	,	PUNCT
ejpam-6024	38	6	for	for	ADP
ejpam-6024	38	7	some	some	DET
ejpam-6024	38	8	ϱ	ϱ	PROPN
ejpam-6024	38	9	≥	≥	NOUN
ejpam-6024	38	10	1	1	NUM
ejpam-6024	38	11	.	.	NOUN
ejpam-6024	38	12	•	•	NUM
ejpam-6024	38	13	gini	gini	PROPN
ejpam-6024	38	14	principle	principle	NOUN
ejpam-6024	38	15	:	:	PUNCT
ejpam-6024	38	16	g(x	g(x	NOUN
ejpam-6024	38	17	)	)	PUNCT
ejpam-6024	38	18	=	=	SYM
ejpam-6024	39	1	(	(	PUNCT
ejpam-6024	39	2	1	1	NUM
ejpam-6024	39	3	+	+	SYM
ejpam-6024	39	4	ϱ)x−	ϱ)x−	NOUN
ejpam-6024	39	5	ϱx2	ϱx2	NOUN
ejpam-6024	39	6	,	,	PUNCT
ejpam-6024	39	7	with	with	ADP
ejpam-6024	39	8	0	0	NUM
ejpam-6024	39	9	<	<	X
ejpam-6024	39	10	ϱ	ϱ	ADP
ejpam-6024	39	11	≤	≤	NUM
ejpam-6024	39	12	1	1	NUM
ejpam-6024	39	13	.	.	PUNCT
ejpam-6024	39	14	•	•	NUM
ejpam-6024	39	15	lookback	lookback	NOUN
ejpam-6024	39	16	distortion	distortion	NOUN
ejpam-6024	39	17	:	:	PUNCT
ejpam-6024	39	18	g(x	g(x	NOUN
ejpam-6024	39	19	)	)	PUNCT
ejpam-6024	40	1	=	=	PUNCT
ejpam-6024	41	1	xϱ(1−	xϱ(1−	PROPN
ejpam-6024	41	2	ϱ	ϱ	ADP
ejpam-6024	41	3	log(x	log(x	PROPN
ejpam-6024	41	4	)	)	PUNCT
ejpam-6024	41	5	)	)	PUNCT
ejpam-6024	41	6	,	,	PUNCT
ejpam-6024	41	7	with	with	ADP
ejpam-6024	41	8	0	0	NUM
ejpam-6024	41	9	<	<	X
ejpam-6024	41	10	ϱ	ϱ	ADP
ejpam-6024	41	11	≤	≤	NUM
ejpam-6024	41	12	1	1	NUM
ejpam-6024	41	13	.	.	NOUN
ejpam-6024	41	14	•	•	NOUN
ejpam-6024	41	15	beta	beta	NOUN
ejpam-6024	41	16	-	-	PUNCT
ejpam-6024	41	17	distortion	distortion	NOUN
ejpam-6024	41	18	risk	risk	NOUN
ejpam-6024	41	19	premium	premium	NOUN
ejpam-6024	41	20	(	(	PUNCT
ejpam-6024	41	21	eg	eg	NOUN
ejpam-6024	41	22	,	,	PUNCT
ejpam-6024	41	23	[	[	X
ejpam-6024	41	24	5	5	NUM
ejpam-6024	41	25	]	]	SYM
ejpam-6024	41	26	):	):	PUNCT
ejpam-6024	41	27	g(x	g(x	NOUN
ejpam-6024	41	28	)	)	PUNCT
ejpam-6024	41	29	=	=	SYM
ejpam-6024	41	30	1	1	NUM
ejpam-6024	41	31	b(a	b(a	NOUN
ejpam-6024	41	32	,	,	PUNCT
ejpam-6024	41	33	b	b	NOUN
ejpam-6024	41	34	)	)	PUNCT
ejpam-6024	41	35	∫	∫	NOUN
ejpam-6024	41	36	x	x	SYM
ejpam-6024	41	37	0	0	NUM
ejpam-6024	41	38	sa−1(1−	sa−1(1−	ADJ
ejpam-6024	41	39	s)b−1ds	s)b−1ds	NOUN
ejpam-6024	41	40	,	,	PUNCT
ejpam-6024	41	41	where	where	SCONJ
ejpam-6024	41	42	b(a	b(a	NOUN
ejpam-6024	41	43	,	,	PUNCT
ejpam-6024	41	44	b)=	b)=	NOUN
ejpam-6024	41	45	∫	∫	PROPN
ejpam-6024	41	46	1	1	NUM
ejpam-6024	41	47	0	0	NUM
ejpam-6024	41	48	s	s	PART
ejpam-6024	41	49	a−1(1−	a−1(1−	PROPN
ejpam-6024	41	50	s)b−1ds	s)b−1ds	NOUN
ejpam-6024	41	51	,	,	PUNCT
ejpam-6024	41	52	a	a	DET
ejpam-6024	41	53	≤	≤	NUM
ejpam-6024	41	54	1	1	NUM
ejpam-6024	41	55	≤	≤	NUM
ejpam-6024	41	56	b	b	PROPN
ejpam-6024	41	57	..	..	SYM
ejpam-6024	41	58	•	•	NUM
ejpam-6024	41	59	minmaxvar2	minmaxvar2	PROPN
ejpam-6024	42	1	risk	risk	NOUN
ejpam-6024	42	2	premium	premium	NOUN
ejpam-6024	42	3	(	(	PUNCT
ejpam-6024	42	4	see	see	VERB
ejpam-6024	42	5	[	[	X
ejpam-6024	42	6	8	8	NUM
ejpam-6024	42	7	]	]	PUNCT
ejpam-6024	42	8	and	and	CCONJ
ejpam-6024	42	9	references	reference	NOUN
ejpam-6024	42	10	there	there	ADV
ejpam-6024	42	11	in	in	ADP
ejpam-6024	42	12	):	):	PUNCT
ejpam-6024	42	13	where	where	SCONJ
ejpam-6024	42	14	g(t	g(t	NOUN
ejpam-6024	42	15	)	)	PUNCT
ejpam-6024	42	16	=	=	SYM
ejpam-6024	42	17	1−	1−	NUM
ejpam-6024	42	18	(	(	PUNCT
ejpam-6024	42	19	1−	1−	NUM
ejpam-6024	42	20	x	x	SYM
ejpam-6024	42	21	1	1	NUM
ejpam-6024	42	22	1+µ	1+µ	NUM
ejpam-6024	42	23	)	)	PUNCT
ejpam-6024	42	24	1+ν	1+ν	NUM
ejpam-6024	42	25	,	,	PUNCT
ejpam-6024	42	26	µ	µ	X
ejpam-6024	42	27	>	>	X
ejpam-6024	42	28	0	0	PROPN
ejpam-6024	42	29	,	,	PUNCT
ejpam-6024	42	30	ν	ν	X
ejpam-6024	42	31	>	>	X
ejpam-6024	42	32	0	0	NUM
ejpam-6024	42	33	.	.	PUNCT
ejpam-6024	43	1	a.	a.	NOUN
ejpam-6024	43	2	aghrabatt	aghrabatt	PROPN
ejpam-6024	43	3	et	et	PROPN
ejpam-6024	43	4	al	al	PROPN
ejpam-6024	43	5	.	.	PUNCT
ejpam-6024	43	6	/	/	SYM
ejpam-6024	43	7	eur	eur	PROPN
ejpam-6024	43	8	.	.	PUNCT
ejpam-6024	44	1	j.	j.	PROPN
ejpam-6024	44	2	pure	pure	PROPN
ejpam-6024	44	3	appl	appl	PROPN
ejpam-6024	44	4	.	.	PROPN
ejpam-6024	44	5	math	math	PROPN
ejpam-6024	44	6	,	,	PUNCT
ejpam-6024	44	7	18	18	NUM
ejpam-6024	44	8	(	(	PUNCT
ejpam-6024	44	9	2	2	NUM
ejpam-6024	44	10	)	)	PUNCT
ejpam-6024	44	11	(	(	PUNCT
ejpam-6024	44	12	2025	2025	NUM
ejpam-6024	44	13	)	)	PUNCT
ejpam-6024	44	14	,	,	PUNCT
ejpam-6024	44	15	6024	6024	NUM
ejpam-6024	44	16	3	3	NUM
ejpam-6024	44	17	of	of	ADP
ejpam-6024	44	18	25	25	NUM
ejpam-6024	44	19	note	note	NOUN
ejpam-6024	44	20	that	that	SCONJ
ejpam-6024	44	21	these	these	DET
ejpam-6024	44	22	distortion	distortion	NOUN
ejpam-6024	44	23	functions	function	NOUN
ejpam-6024	44	24	g	g	X
ejpam-6024	44	25	(	(	PUNCT
ejpam-6024	44	26	·	·	PUNCT
ejpam-6024	44	27	)	)	PUNCT
ejpam-6024	44	28	are	be	AUX
ejpam-6024	44	29	equal	equal	ADJ
ejpam-6024	44	30	or	or	CCONJ
ejpam-6024	44	31	can	can	AUX
ejpam-6024	44	32	be	be	AUX
ejpam-6024	44	33	approximated	approximate	VERB
ejpam-6024	44	34	to	to	ADP
ejpam-6024	44	35	a	a	DET
ejpam-6024	44	36	power	power	NOUN
ejpam-6024	44	37	function	function	NOUN
ejpam-6024	44	38	gβ(y	gβ(y	NOUN
ejpam-6024	44	39	)	)	PUNCT
ejpam-6024	44	40	=	=	SYM
ejpam-6024	45	1	t1	t1	NUM
ejpam-6024	45	2	/	/	SYM
ejpam-6024	45	3	β	β	PROPN
ejpam-6024	45	4	,	,	PUNCT
ejpam-6024	45	5	β	β	X
ejpam-6024	45	6	≥	≥	NUM
ejpam-6024	45	7	1	1	NUM
ejpam-6024	45	8	,	,	PUNCT
ejpam-6024	45	9	since	since	SCONJ
ejpam-6024	45	10	they	they	PRON
ejpam-6024	45	11	are	be	AUX
ejpam-6024	45	12	regularly	regularly	ADV
ejpam-6024	45	13	varying	vary	VERB
ejpam-6024	45	14	at	at	ADP
ejpam-6024	45	15	zero	zero	NUM
ejpam-6024	45	16	with	with	ADP
ejpam-6024	45	17	index	index	NOUN
ejpam-6024	45	18	1	1	NUM
ejpam-6024	45	19	/	/	SYM
ejpam-6024	45	20	β	β	NOUN
ejpam-6024	45	21	,	,	PUNCT
ejpam-6024	45	22	that	that	PRON
ejpam-6024	45	23	is	be	AUX
ejpam-6024	45	24	:	:	PUNCT
ejpam-6024	45	25	g(t	g(t	X
ejpam-6024	45	26	)	)	PUNCT
ejpam-6024	46	1	=	=	PUNCT
ejpam-6024	46	2	t1	t1	NOUN
ejpam-6024	46	3	/	/	SYM
ejpam-6024	46	4	βℓg(t	βℓg(t	PROPN
ejpam-6024	46	5	)	)	PUNCT
ejpam-6024	46	6	,	,	PUNCT
ejpam-6024	46	7	where	where	SCONJ
ejpam-6024	46	8	ℓg	ℓg	VERB
ejpam-6024	46	9	(	(	PUNCT
ejpam-6024	46	10	·	·	PUNCT
ejpam-6024	46	11	)	)	PUNCT
ejpam-6024	46	12	is	be	AUX
ejpam-6024	46	13	a	a	DET
ejpam-6024	46	14	slowly	slowly	ADV
ejpam-6024	46	15	varying	vary	VERB
ejpam-6024	46	16	function	function	NOUN
ejpam-6024	46	17	at	at	ADP
ejpam-6024	46	18	zero	zero	NUM
ejpam-6024	46	19	satisfying	satisfy	VERB
ejpam-6024	46	20	ℓg(λt)/ℓg(t	ℓg(λt)/ℓg(t	PROPN
ejpam-6024	46	21	)	)	PUNCT
ejpam-6024	46	22	→	→	SYM
ejpam-6024	46	23	1	1	NUM
ejpam-6024	46	24	as	as	ADP
ejpam-6024	46	25	t	t	PROPN
ejpam-6024	46	26	→	→	SYM
ejpam-6024	46	27	0	0	NUM
ejpam-6024	46	28	,	,	PUNCT
ejpam-6024	46	29	for	for	ADP
ejpam-6024	46	30	λ	λ	PROPN
ejpam-6024	46	31	>	>	X
ejpam-6024	46	32	0	0	PROPN
ejpam-6024	46	33	.	.	PUNCT
ejpam-6024	47	1	this	this	DET
ejpam-6024	47	2	condition	condition	NOUN
ejpam-6024	47	3	is	be	AUX
ejpam-6024	47	4	used	use	VERB
ejpam-6024	47	5	in	in	ADP
ejpam-6024	47	6	[	[	X
ejpam-6024	47	7	8	8	NUM
ejpam-6024	47	8	]	]	PUNCT
ejpam-6024	47	9	and	and	CCONJ
ejpam-6024	47	10	[	[	X
ejpam-6024	47	11	9	9	NUM
ejpam-6024	47	12	]	]	PUNCT
ejpam-6024	47	13	to	to	PART
ejpam-6024	47	14	estimate	estimate	VERB
ejpam-6024	47	15	the	the	DET
ejpam-6024	47	16	reinsurance	reinsurance	NOUN
ejpam-6024	47	17	risk	risk	NOUN
ejpam-6024	47	18	premiums	premium	NOUN
ejpam-6024	47	19	in	in	ADP
ejpam-6024	47	20	the	the	DET
ejpam-6024	47	21	context	context	NOUN
ejpam-6024	47	22	of	of	ADP
ejpam-6024	47	23	independent	independent	ADJ
ejpam-6024	47	24	extreme	extreme	ADJ
ejpam-6024	47	25	risks	risk	NOUN
ejpam-6024	47	26	.	.	PUNCT
ejpam-6024	48	1	a	a	DET
ejpam-6024	48	2	standard	standard	ADJ
ejpam-6024	48	3	reinsurance	reinsurance	NOUN
ejpam-6024	48	4	product	product	NOUN
ejpam-6024	48	5	is	be	AUX
ejpam-6024	48	6	an	an	DET
ejpam-6024	48	7	excess	excess	NOUN
ejpam-6024	48	8	of	of	ADP
ejpam-6024	48	9	loss	loss	NOUN
ejpam-6024	48	10	reinsurance	reinsurance	NOUN
ejpam-6024	48	11	,	,	PUNCT
ejpam-6024	48	12	which	which	PRON
ejpam-6024	48	13	means	mean	VERB
ejpam-6024	48	14	that	that	SCONJ
ejpam-6024	48	15	the	the	DET
ejpam-6024	48	16	reinsurer	reinsurer	NOUN
ejpam-6024	48	17	only	only	ADV
ejpam-6024	48	18	compensates	compensate	VERB
ejpam-6024	48	19	the	the	DET
ejpam-6024	48	20	cedant	cedant	NOUN
ejpam-6024	48	21	’s	’s	PART
ejpam-6024	48	22	loss	loss	NOUN
ejpam-6024	48	23	above	above	ADP
ejpam-6024	48	24	a	a	DET
ejpam-6024	48	25	certain	certain	ADJ
ejpam-6024	48	26	retention	retention	NOUN
ejpam-6024	48	27	amount	amount	NOUN
ejpam-6024	48	28	r	r	NOUN
ejpam-6024	48	29	>	>	X
ejpam-6024	48	30	0	0	X
ejpam-6024	48	31	.	.	PUNCT
ejpam-6024	49	1	consider	consider	VERB
ejpam-6024	49	2	an	an	DET
ejpam-6024	49	3	excess	excess	ADJ
ejpam-6024	49	4	-	-	PUNCT
ejpam-6024	49	5	of	of	ADP
ejpam-6024	49	6	-	-	PUNCT
ejpam-6024	49	7	loss	loss	NOUN
ejpam-6024	49	8	reinsurance	reinsurance	NOUN
ejpam-6024	49	9	policy	policy	NOUN
ejpam-6024	49	10	in	in	ADP
ejpam-6024	49	11	excess	excess	NOUN
ejpam-6024	49	12	of	of	ADP
ejpam-6024	49	13	a	a	DET
ejpam-6024	49	14	high	high	ADJ
ejpam-6024	49	15	retention	retention	NOUN
ejpam-6024	49	16	level	level	NOUN
ejpam-6024	49	17	r	r	NOUN
ejpam-6024	49	18	>	>	X
ejpam-6024	49	19	0	0	NUM
ejpam-6024	49	20	,	,	PUNCT
ejpam-6024	49	21	the	the	DET
ejpam-6024	49	22	distorted	distorted	ADJ
ejpam-6024	49	23	reinsurance	reinsurance	NOUN
ejpam-6024	49	24	premium	premium	NOUN
ejpam-6024	49	25	of	of	ADP
ejpam-6024	49	26	the	the	DET
ejpam-6024	49	27	total	total	ADJ
ejpam-6024	49	28	claim	claim	NOUN
ejpam-6024	49	29	amount	amount	NOUN
ejpam-6024	49	30	max(x	max(x	PROPN
ejpam-6024	49	31	−r	−r	NOUN
ejpam-6024	49	32	,	,	PUNCT
ejpam-6024	49	33	0	0	NUM
ejpam-6024	49	34	)	)	PUNCT
ejpam-6024	49	35	is	be	AUX
ejpam-6024	49	36	defined	define	VERB
ejpam-6024	49	37	as	as	ADP
ejpam-6024	49	38	:	:	PUNCT
ejpam-6024	49	39	πgβ	πgβ	NOUN
ejpam-6024	49	40	(	(	PUNCT
ejpam-6024	49	41	r	r	NOUN
ejpam-6024	49	42	)	)	PUNCT
ejpam-6024	49	43	=	=	SYM
ejpam-6024	50	1	∫	∫	PROPN
ejpam-6024	51	1	∞	∞	NUM
ejpam-6024	51	2	r	r	NOUN
ejpam-6024	51	3	gβ	gβ	NOUN
ejpam-6024	51	4	(	(	PUNCT
ejpam-6024	51	5	f	f	X
ejpam-6024	51	6	(	(	PUNCT
ejpam-6024	51	7	x	x	NOUN
ejpam-6024	51	8	)	)	PUNCT
ejpam-6024	51	9	)	)	PUNCT
ejpam-6024	52	1	dx	dx	PROPN
ejpam-6024	52	2	.	.	PUNCT
ejpam-6024	53	1	(	(	PUNCT
ejpam-6024	53	2	3	3	X
ejpam-6024	53	3	)	)	PUNCT
ejpam-6024	53	4	as	as	ADP
ejpam-6024	53	5	in	in	ADP
ejpam-6024	53	6	(	(	PUNCT
ejpam-6024	53	7	2	2	NUM
ejpam-6024	53	8	)	)	PUNCT
ejpam-6024	53	9	,	,	PUNCT
ejpam-6024	53	10	the	the	DET
ejpam-6024	53	11	distortion	distortion	NOUN
ejpam-6024	53	12	risk	risk	NOUN
ejpam-6024	53	13	premium	premium	NOUN
ejpam-6024	53	14	πgβ	πgβ	NOUN
ejpam-6024	53	15	(	(	PUNCT
ejpam-6024	53	16	r	r	NOUN
ejpam-6024	53	17	)	)	PUNCT
ejpam-6024	53	18	can	can	AUX
ejpam-6024	53	19	be	be	AUX
ejpam-6024	53	20	rewritten	rewrite	VERB
ejpam-6024	53	21	in	in	ADP
ejpam-6024	53	22	terms	term	NOUN
ejpam-6024	53	23	of	of	ADP
ejpam-6024	53	24	value	value	NOUN
ejpam-6024	53	25	-	-	PUNCT
ejpam-6024	53	26	atrisk	atrisk	NOUN
ejpam-6024	53	27	q	q	PROPN
ejpam-6024	53	28	as	as	SCONJ
ejpam-6024	53	29	follows	follow	VERB
ejpam-6024	53	30	:	:	PUNCT
ejpam-6024	54	1	πgβ	πgβ	NOUN
ejpam-6024	54	2	(	(	PUNCT
ejpam-6024	54	3	r	r	NOUN
ejpam-6024	54	4	)	)	PUNCT
ejpam-6024	54	5	=	=	PUNCT
ejpam-6024	55	1	−	−	PROPN
ejpam-6024	55	2	∫	∫	PROPN
ejpam-6024	55	3	f	f	PROPN
ejpam-6024	55	4	(	(	PUNCT
ejpam-6024	55	5	r	r	NOUN
ejpam-6024	55	6	)	)	PUNCT
ejpam-6024	55	7	0	0	NUM
ejpam-6024	55	8	gβ(s)dq(1−	gβ(s)dq(1−	PROPN
ejpam-6024	55	9	s	s	NOUN
ejpam-6024	55	10	)	)	PUNCT
ejpam-6024	55	11	.	.	PUNCT
ejpam-6024	56	1	(	(	PUNCT
ejpam-6024	56	2	4	4	X
ejpam-6024	56	3	)	)	PUNCT
ejpam-6024	56	4	in	in	ADP
ejpam-6024	56	5	the	the	DET
ejpam-6024	56	6	reinsurance	reinsurance	NOUN
ejpam-6024	56	7	context	context	NOUN
ejpam-6024	56	8	,	,	PUNCT
ejpam-6024	56	9	the	the	DET
ejpam-6024	56	10	purpose	purpose	NOUN
ejpam-6024	56	11	of	of	ADP
ejpam-6024	56	12	estimating	estimate	VERB
ejpam-6024	56	13	the	the	DET
ejpam-6024	56	14	premium	premium	NOUN
ejpam-6024	56	15	πg(r	πg(r	PUNCT
ejpam-6024	56	16	)	)	PUNCT
ejpam-6024	56	17	is	be	AUX
ejpam-6024	56	18	to	to	PART
ejpam-6024	56	19	estimate	estimate	VERB
ejpam-6024	56	20	,	,	PUNCT
ejpam-6024	56	21	for	for	ADP
ejpam-6024	56	22	each	each	PRON
ejpam-6024	56	23	insured	insure	VERB
ejpam-6024	56	24	,	,	PUNCT
ejpam-6024	56	25	the	the	DET
ejpam-6024	56	26	expected	expect	VERB
ejpam-6024	56	27	under	under	ADP
ejpam-6024	56	28	the	the	DET
ejpam-6024	56	29	distorted	distorted	ADJ
ejpam-6024	56	30	probability	probability	NOUN
ejpam-6024	56	31	of	of	ADP
ejpam-6024	56	32	the	the	DET
ejpam-6024	56	33	excess	excess	ADJ
ejpam-6024	56	34	claim	claim	NOUN
ejpam-6024	56	35	amounts	amount	VERB
ejpam-6024	56	36	for	for	ADP
ejpam-6024	56	37	a	a	DET
ejpam-6024	56	38	given	give	VERB
ejpam-6024	56	39	period	period	NOUN
ejpam-6024	56	40	.	.	PUNCT
ejpam-6024	57	1	this	this	DET
ejpam-6024	57	2	evaluation	evaluation	NOUN
ejpam-6024	57	3	is	be	AUX
ejpam-6024	57	4	often	often	ADV
ejpam-6024	57	5	done	do	VERB
ejpam-6024	57	6	using	use	VERB
ejpam-6024	57	7	statistical	statistical	ADJ
ejpam-6024	57	8	methods	method	NOUN
ejpam-6024	57	9	.	.	PUNCT
ejpam-6024	58	1	for	for	ADP
ejpam-6024	58	2	more	more	ADJ
ejpam-6024	58	3	details	detail	NOUN
ejpam-6024	58	4	,	,	PUNCT
ejpam-6024	58	5	see	see	VERB
ejpam-6024	58	6	[	[	X
ejpam-6024	58	7	10	10	NUM
ejpam-6024	58	8	]	]	PUNCT
ejpam-6024	58	9	.	.	PUNCT
ejpam-6024	59	1	thus	thus	ADV
ejpam-6024	59	2	,	,	PUNCT
ejpam-6024	59	3	reinsurance	reinsurance	NOUN
ejpam-6024	59	4	companies	company	NOUN
ejpam-6024	59	5	must	must	AUX
ejpam-6024	59	6	calculate	calculate	VERB
ejpam-6024	59	7	the	the	DET
ejpam-6024	59	8	premiums	premium	NOUN
ejpam-6024	59	9	to	to	PART
ejpam-6024	59	10	cover	cover	VERB
ejpam-6024	59	11	these	these	DET
ejpam-6024	59	12	excess	excess	ADJ
ejpam-6024	59	13	claims	claim	NOUN
ejpam-6024	59	14	,	,	PUNCT
ejpam-6024	59	15	which	which	PRON
ejpam-6024	59	16	are	be	AUX
ejpam-6024	59	17	usually	usually	ADV
ejpam-6024	59	18	very	very	ADV
ejpam-6024	59	19	high	high	ADJ
ejpam-6024	59	20	.	.	PUNCT
ejpam-6024	60	1	the	the	DET
ejpam-6024	60	2	extreme	extreme	ADJ
ejpam-6024	60	3	value	value	NOUN
ejpam-6024	60	4	theory	theory	NOUN
ejpam-6024	60	5	(	(	PUNCT
ejpam-6024	60	6	evt	evt	PROPN
ejpam-6024	60	7	)	)	PUNCT
ejpam-6024	60	8	has	have	AUX
ejpam-6024	60	9	become	become	VERB
ejpam-6024	60	10	one	one	NUM
ejpam-6024	60	11	of	of	ADP
ejpam-6024	60	12	the	the	DET
ejpam-6024	60	13	leading	lead	VERB
ejpam-6024	60	14	theories	theory	NOUN
ejpam-6024	60	15	in	in	ADP
ejpam-6024	60	16	the	the	DET
ejpam-6024	60	17	development	development	NOUN
ejpam-6024	60	18	of	of	ADP
ejpam-6024	60	19	statistical	statistical	ADJ
ejpam-6024	60	20	models	model	NOUN
ejpam-6024	60	21	for	for	ADP
ejpam-6024	60	22	high	high	ADJ
ejpam-6024	60	23	insurance	insurance	NOUN
ejpam-6024	60	24	losses	loss	NOUN
ejpam-6024	60	25	.	.	PUNCT
ejpam-6024	61	1	we	we	PRON
ejpam-6024	61	2	refer	refer	VERB
ejpam-6024	61	3	to	to	ADP
ejpam-6024	61	4	[	[	X
ejpam-6024	61	5	11	11	NUM
ejpam-6024	61	6	]	]	PUNCT
ejpam-6024	61	7	,	,	PUNCT
ejpam-6024	61	8	for	for	ADP
ejpam-6024	61	9	general	general	ADJ
ejpam-6024	61	10	accounts	account	NOUN
ejpam-6024	61	11	on	on	ADP
ejpam-6024	61	12	extreme	extreme	ADJ
ejpam-6024	61	13	-	-	PUNCT
ejpam-6024	61	14	value	value	NOUN
ejpam-6024	61	15	theory	theory	NOUN
ejpam-6024	61	16	.	.	PUNCT
ejpam-6024	62	1	many	many	ADJ
ejpam-6024	62	2	authors	author	NOUN
ejpam-6024	62	3	studied	study	VERB
ejpam-6024	62	4	the	the	DET
ejpam-6024	62	5	estimation	estimation	NOUN
ejpam-6024	62	6	of	of	ADP
ejpam-6024	62	7	the	the	DET
ejpam-6024	62	8	premium	premium	NOUN
ejpam-6024	62	9	of	of	ADP
ejpam-6024	62	10	these	these	DET
ejpam-6024	62	11	high	high	ADJ
ejpam-6024	62	12	excess	excess	ADJ
ejpam-6024	62	13	losses	loss	NOUN
ejpam-6024	62	14	by	by	ADP
ejpam-6024	62	15	using	use	VERB
ejpam-6024	62	16	classical	classical	ADJ
ejpam-6024	62	17	evt	evt	PROPN
ejpam-6024	62	18	models	model	NOUN
ejpam-6024	62	19	,	,	PUNCT
ejpam-6024	62	20	mainly	mainly	ADV
ejpam-6024	62	21	based	base	VERB
ejpam-6024	62	22	on	on	ADP
ejpam-6024	62	23	the	the	DET
ejpam-6024	62	24	independent	independent	ADJ
ejpam-6024	62	25	and	and	CCONJ
ejpam-6024	62	26	identically	identically	ADV
ejpam-6024	62	27	distributed	distribute	VERB
ejpam-6024	62	28	(	(	PUNCT
ejpam-6024	62	29	i.i.d	i.i.d	ADJ
ejpam-6024	62	30	)	)	PUNCT
ejpam-6024	62	31	assumption	assumption	NOUN
ejpam-6024	62	32	of	of	ADP
ejpam-6024	62	33	the	the	DET
ejpam-6024	62	34	insured	insure	VERB
ejpam-6024	62	35	risks	risk	NOUN
ejpam-6024	62	36	with	with	ADP
ejpam-6024	62	37	large	large	ADJ
ejpam-6024	62	38	tails	tail	NOUN
ejpam-6024	62	39	.	.	PUNCT
ejpam-6024	63	1	one	one	PRON
ejpam-6024	63	2	can	can	AUX
ejpam-6024	63	3	mention	mention	VERB
ejpam-6024	63	4	among	among	ADP
ejpam-6024	63	5	others	other	NOUN
ejpam-6024	63	6	,	,	PUNCT
ejpam-6024	63	7	[	[	X
ejpam-6024	63	8	12	12	NUM
ejpam-6024	63	9	]	]	PUNCT
ejpam-6024	63	10	,	,	PUNCT
ejpam-6024	63	11	[	[	X
ejpam-6024	63	12	13	13	NUM
ejpam-6024	63	13	]	]	PUNCT
ejpam-6024	63	14	,	,	PUNCT
ejpam-6024	63	15	[	[	X
ejpam-6024	63	16	8	8	NUM
ejpam-6024	63	17	]	]	PUNCT
ejpam-6024	63	18	,	,	PUNCT
ejpam-6024	63	19	[	[	X
ejpam-6024	63	20	14	14	NUM
ejpam-6024	63	21	]	]	PUNCT
ejpam-6024	63	22	,	,	PUNCT
ejpam-6024	63	23	[	[	X
ejpam-6024	63	24	15	15	NUM
ejpam-6024	63	25	]	]	PUNCT
ejpam-6024	63	26	,	,	PUNCT
ejpam-6024	63	27	[	[	X
ejpam-6024	63	28	16	16	NUM
ejpam-6024	63	29	]	]	PUNCT
ejpam-6024	63	30	,	,	PUNCT
ejpam-6024	63	31	[	[	X
ejpam-6024	63	32	9	9	NUM
ejpam-6024	63	33	]	]	PUNCT
ejpam-6024	63	34	,	,	PUNCT
ejpam-6024	63	35	etc	etc	X
ejpam-6024	63	36	.	.	X
ejpam-6024	64	1	the	the	DET
ejpam-6024	64	2	reinsurance	reinsurance	NOUN
ejpam-6024	64	3	is	be	AUX
ejpam-6024	64	4	also	also	ADV
ejpam-6024	64	5	a	a	DET
ejpam-6024	64	6	risk	risk	NOUN
ejpam-6024	64	7	mitigating	mitigate	VERB
ejpam-6024	64	8	tool	tool	NOUN
ejpam-6024	64	9	,	,	PUNCT
ejpam-6024	64	10	constituting	constitute	VERB
ejpam-6024	64	11	an	an	DET
ejpam-6024	64	12	important	important	ADJ
ejpam-6024	64	13	instrument	instrument	NOUN
ejpam-6024	64	14	in	in	ADP
ejpam-6024	64	15	the	the	DET
ejpam-6024	64	16	management	management	NOUN
ejpam-6024	64	17	of	of	ADP
ejpam-6024	64	18	risk	risk	NOUN
ejpam-6024	64	19	of	of	ADP
ejpam-6024	64	20	an	an	DET
ejpam-6024	64	21	insurance	insurance	NOUN
ejpam-6024	64	22	company	company	NOUN
ejpam-6024	64	23	where	where	SCONJ
ejpam-6024	64	24	dependencies	dependency	NOUN
ejpam-6024	64	25	and	and	CCONJ
ejpam-6024	64	26	the	the	DET
ejpam-6024	64	27	heavy	heavy	ADV
ejpam-6024	64	28	-	-	PUNCT
ejpam-6024	64	29	tailed	tail	VERB
ejpam-6024	64	30	nature	nature	NOUN
ejpam-6024	64	31	should	should	AUX
ejpam-6024	64	32	be	be	AUX
ejpam-6024	64	33	taken	take	VERB
ejpam-6024	64	34	into	into	ADP
ejpam-6024	64	35	account	account	NOUN
ejpam-6024	64	36	.	.	PUNCT
ejpam-6024	65	1	when	when	SCONJ
ejpam-6024	65	2	transferring	transfer	VERB
ejpam-6024	65	3	risk	risk	NOUN
ejpam-6024	65	4	,	,	PUNCT
ejpam-6024	65	5	the	the	DET
ejpam-6024	65	6	cedent	cedent	NOUN
ejpam-6024	65	7	seeks	seek	VERB
ejpam-6024	65	8	a	a	DET
ejpam-6024	65	9	trade	trade	NOUN
ejpam-6024	65	10	-	-	PUNCT
ejpam-6024	65	11	off	off	NOUN
ejpam-6024	65	12	between	between	ADP
ejpam-6024	65	13	profit	profit	NOUN
ejpam-6024	65	14	and	and	CCONJ
ejpam-6024	65	15	safety	safety	NOUN
ejpam-6024	65	16	,	,	PUNCT
ejpam-6024	65	17	which	which	PRON
ejpam-6024	65	18	is	be	AUX
ejpam-6024	65	19	on	on	ADP
ejpam-6024	65	20	the	the	DET
ejpam-6024	65	21	nature	nature	NOUN
ejpam-6024	65	22	of	of	ADP
ejpam-6024	65	23	the	the	DET
ejpam-6024	65	24	insured	insure	VERB
ejpam-6024	65	25	risk	risk	NOUN
ejpam-6024	65	26	and	and	CCONJ
ejpam-6024	65	27	on	on	ADP
ejpam-6024	65	28	the	the	DET
ejpam-6024	65	29	reinsurance	reinsurance	NOUN
ejpam-6024	65	30	premium	premium	NOUN
ejpam-6024	65	31	calculation	calculation	NOUN
ejpam-6024	65	32	principle	principle	NOUN
ejpam-6024	65	33	.	.	PUNCT
ejpam-6024	66	1	the	the	DET
ejpam-6024	66	2	heavy	heavy	ADV
ejpam-6024	66	3	-	-	PUNCT
ejpam-6024	66	4	tailed	tail	VERB
ejpam-6024	66	5	nature	nature	NOUN
ejpam-6024	66	6	of	of	ADP
ejpam-6024	66	7	insurance	insurance	NOUN
ejpam-6024	66	8	claims	claim	NOUN
ejpam-6024	66	9	requires	require	VERB
ejpam-6024	66	10	that	that	SCONJ
ejpam-6024	66	11	special	special	ADJ
ejpam-6024	66	12	attention	attention	NOUN
ejpam-6024	66	13	paid	pay	VERB
ejpam-6024	66	14	to	to	PART
ejpam-6024	66	15	be	be	AUX
ejpam-6024	66	16	analyzing	analyze	VERB
ejpam-6024	66	17	the	the	DET
ejpam-6024	66	18	tail	tail	NOUN
ejpam-6024	66	19	distributions	distribution	NOUN
ejpam-6024	66	20	of	of	ADP
ejpam-6024	66	21	a	a	DET
ejpam-6024	66	22	claims	claim	NOUN
ejpam-6024	66	23	amounts	amount	VERB
ejpam-6024	66	24	.	.	PUNCT
ejpam-6024	67	1	such	such	ADJ
ejpam-6024	67	2	distributions	distribution	NOUN
ejpam-6024	67	3	are	be	AUX
ejpam-6024	67	4	mainly	mainly	ADV
ejpam-6024	67	5	characterized	characterize	VERB
ejpam-6024	67	6	by	by	ADP
ejpam-6024	67	7	their	their	PRON
ejpam-6024	67	8	index	index	NOUN
ejpam-6024	67	9	which	which	PRON
ejpam-6024	67	10	make	make	VERB
ejpam-6024	67	11	the	the	DET
ejpam-6024	67	12	possibility	possibility	NOUN
ejpam-6024	67	13	to	to	PART
ejpam-6024	67	14	indicate	indicate	VERB
ejpam-6024	67	15	the	the	DET
ejpam-6024	67	16	size	size	NOUN
ejpam-6024	67	17	and	and	CCONJ
ejpam-6024	67	18	the	the	DET
ejpam-6024	67	19	frequency	frequency	NOUN
ejpam-6024	67	20	of	of	ADP
ejpam-6024	67	21	some	some	DET
ejpam-6024	67	22	extreme	extreme	ADJ
ejpam-6024	67	23	phenomena	phenomenon	NOUN
ejpam-6024	67	24	within	within	ADP
ejpam-6024	67	25	the	the	DET
ejpam-6024	67	26	framework	framework	NOUN
ejpam-6024	67	27	of	of	ADP
ejpam-6024	67	28	a	a	DET
ejpam-6024	67	29	given	give	VERB
ejpam-6024	67	30	probability	probability	NOUN
ejpam-6024	67	31	distribution	distribution	NOUN
ejpam-6024	67	32	(	(	PUNCT
ejpam-6024	67	33	see	see	VERB
ejpam-6024	67	34	eg	eg	NOUN
ejpam-6024	67	35	,	,	PUNCT
ejpam-6024	67	36	[	[	X
ejpam-6024	67	37	9	9	NUM
ejpam-6024	67	38	]	]	NUM
ejpam-6024	67	39	)	)	PUNCT
ejpam-6024	67	40	.	.	PUNCT
ejpam-6024	68	1	the	the	DET
ejpam-6024	68	2	extreme	extreme	ADJ
ejpam-6024	68	3	value	value	NOUN
ejpam-6024	68	4	theory	theory	NOUN
ejpam-6024	68	5	(	(	PUNCT
ejpam-6024	68	6	evt	evt	PROPN
ejpam-6024	68	7	)	)	PUNCT
ejpam-6024	68	8	offers	offer	VERB
ejpam-6024	68	9	satisfactory	satisfactory	ADJ
ejpam-6024	68	10	statistical	statistical	ADJ
ejpam-6024	68	11	results	result	NOUN
ejpam-6024	68	12	such	such	ADJ
ejpam-6024	68	13	heavy	heavy	ADJ
ejpam-6024	68	14	tailed	tail	VERB
ejpam-6024	68	15	distributions	distribution	NOUN
ejpam-6024	68	16	.	.	PUNCT
ejpam-6024	69	1	semiparametric	semiparametric	NOUN
ejpam-6024	69	2	estimators	estimator	NOUN
ejpam-6024	69	3	of	of	ADP
ejpam-6024	69	4	reinsurance	reinsurance	NOUN
ejpam-6024	69	5	premiums	premium	NOUN
ejpam-6024	69	6	for	for	ADP
ejpam-6024	69	7	independent	independent	ADJ
ejpam-6024	69	8	a.	a.	NOUN
ejpam-6024	69	9	aghrabatt	aghrabatt	NOUN
ejpam-6024	69	10	et	et	PROPN
ejpam-6024	69	11	al	al	PROPN
ejpam-6024	69	12	.	.	PUNCT
ejpam-6024	69	13	/	/	SYM
ejpam-6024	69	14	eur	eur	PROPN
ejpam-6024	69	15	.	.	PUNCT
ejpam-6024	70	1	j.	j.	PROPN
ejpam-6024	70	2	pure	pure	PROPN
ejpam-6024	70	3	appl	appl	PROPN
ejpam-6024	70	4	.	.	PROPN
ejpam-6024	70	5	math	math	PROPN
ejpam-6024	70	6	,	,	PUNCT
ejpam-6024	70	7	18	18	NUM
ejpam-6024	70	8	(	(	PUNCT
ejpam-6024	70	9	2	2	NUM
ejpam-6024	70	10	)	)	PUNCT
ejpam-6024	70	11	(	(	PUNCT
ejpam-6024	70	12	2025	2025	NUM
ejpam-6024	70	13	)	)	PUNCT
ejpam-6024	70	14	,	,	PUNCT
ejpam-6024	70	15	6024	6024	NUM
ejpam-6024	70	16	4	4	NUM
ejpam-6024	70	17	of	of	ADP
ejpam-6024	70	18	25	25	NUM
ejpam-6024	70	19	and	and	CCONJ
ejpam-6024	70	20	identically	identically	ADV
ejpam-6024	70	21	distributed	distribute	VERB
ejpam-6024	70	22	(	(	PUNCT
ejpam-6024	70	23	i.i.d	i.i.d	ADP
ejpam-6024	70	24	)	)	PUNCT
ejpam-6024	70	25	from	from	ADP
ejpam-6024	70	26	a	a	DET
ejpam-6024	70	27	heavy	heavy	ADJ
ejpam-6024	70	28	tailed	tail	VERB
ejpam-6024	70	29	losses	loss	NOUN
ejpam-6024	70	30	have	have	AUX
ejpam-6024	70	31	been	be	AUX
ejpam-6024	70	32	largely	largely	ADV
ejpam-6024	70	33	studied	study	VERB
ejpam-6024	70	34	in	in	ADP
ejpam-6024	70	35	the	the	DET
ejpam-6024	70	36	literature	literature	NOUN
ejpam-6024	70	37	.	.	PUNCT
ejpam-6024	71	1	however	however	ADV
ejpam-6024	71	2	,	,	PUNCT
ejpam-6024	71	3	only	only	ADV
ejpam-6024	71	4	recently	recently	ADV
ejpam-6024	71	5	,	,	PUNCT
ejpam-6024	71	6	dependencies	dependency	NOUN
ejpam-6024	71	7	among	among	ADP
ejpam-6024	71	8	risks	risk	NOUN
ejpam-6024	71	9	have	have	AUX
ejpam-6024	71	10	been	be	AUX
ejpam-6024	71	11	considered	consider	VERB
ejpam-6024	71	12	(	(	PUNCT
ejpam-6024	71	13	see	see	VERB
ejpam-6024	71	14	,	,	PUNCT
ejpam-6024	71	15	[	[	X
ejpam-6024	71	16	17	17	NUM
ejpam-6024	71	17	]	]	PUNCT
ejpam-6024	71	18	)	)	PUNCT
ejpam-6024	71	19	also	also	ADV
ejpam-6024	71	20	,	,	PUNCT
ejpam-6024	71	21	in	in	ADP
ejpam-6024	71	22	the	the	DET
ejpam-6024	71	23	dependence	dependence	NOUN
ejpam-6024	71	24	context	context	NOUN
ejpam-6024	71	25	of	of	ADP
ejpam-6024	71	26	financial	financial	ADJ
ejpam-6024	71	27	extreme	extreme	ADJ
ejpam-6024	71	28	losses	loss	NOUN
ejpam-6024	71	29	with	with	ADP
ejpam-6024	71	30	heavy	heavy	ADJ
ejpam-6024	71	31	-	-	PUNCT
ejpam-6024	71	32	tailed	tail	VERB
ejpam-6024	71	33	marginals	marginal	NOUN
ejpam-6024	71	34	,	,	PUNCT
ejpam-6024	71	35	[	[	X
ejpam-6024	71	36	18	18	NUM
ejpam-6024	71	37	]	]	PUNCT
ejpam-6024	71	38	,	,	PUNCT
ejpam-6024	71	39	[	[	X
ejpam-6024	71	40	19	19	NUM
ejpam-6024	71	41	]	]	PUNCT
ejpam-6024	71	42	and	and	CCONJ
ejpam-6024	71	43	[	[	X
ejpam-6024	71	44	20	20	NUM
ejpam-6024	71	45	]	]	PUNCT
ejpam-6024	71	46	investigated	investigate	VERB
ejpam-6024	71	47	the	the	DET
ejpam-6024	71	48	estimation	estimation	NOUN
ejpam-6024	71	49	of	of	ADP
ejpam-6024	71	50	the	the	DET
ejpam-6024	71	51	value	value	NOUN
ejpam-6024	71	52	-	-	PUNCT
ejpam-6024	71	53	at	at	ADP
ejpam-6024	71	54	-	-	PUNCT
ejpam-6024	71	55	risk	risk	NOUN
ejpam-6024	71	56	for	for	ADP
ejpam-6024	71	57	extreme	extreme	ADJ
ejpam-6024	71	58	losses	loss	NOUN
ejpam-6024	71	59	(	(	PUNCT
ejpam-6024	71	60	high	high	ADJ
ejpam-6024	71	61	quantile	quantile	NOUN
ejpam-6024	71	62	)	)	PUNCT
ejpam-6024	71	63	.	.	PUNCT
ejpam-6024	72	1	in	in	ADP
ejpam-6024	72	2	high	high	ADJ
ejpam-6024	72	3	excess	excess	ADJ
ejpam-6024	72	4	reinsurance	reinsurance	NOUN
ejpam-6024	72	5	losses	loss	NOUN
ejpam-6024	72	6	,	,	PUNCT
ejpam-6024	72	7	[	[	X
ejpam-6024	72	8	17	17	NUM
ejpam-6024	72	9	]	]	PUNCT
ejpam-6024	72	10	introduced	introduce	VERB
ejpam-6024	72	11	a	a	DET
ejpam-6024	72	12	semiparametric	semiparametric	ADJ
ejpam-6024	72	13	estimator	estimator	NOUN
ejpam-6024	72	14	of	of	ADP
ejpam-6024	72	15	the	the	DET
ejpam-6024	72	16	risk	risk	NOUN
ejpam-6024	72	17	premiums	premium	NOUN
ejpam-6024	72	18	from	from	ADP
ejpam-6024	72	19	heavy	heavy	ADJ
ejpam-6024	72	20	tailed	tail	VERB
ejpam-6024	72	21	dependent	dependent	ADJ
ejpam-6024	72	22	insured	insured	ADJ
ejpam-6024	72	23	risks	risk	NOUN
ejpam-6024	72	24	over	over	ADP
ejpam-6024	72	25	an	an	DET
ejpam-6024	72	26	optimal	optimal	ADJ
ejpam-6024	72	27	retention	retention	NOUN
ejpam-6024	72	28	level	level	NOUN
ejpam-6024	72	29	.	.	PUNCT
ejpam-6024	73	1	this	this	DET
ejpam-6024	73	2	semiparametric	semiparametric	ADJ
ejpam-6024	73	3	estimator	estimator	NOUN
ejpam-6024	73	4	surfers	surfer	NOUN
ejpam-6024	73	5	from	from	ADP
ejpam-6024	73	6	a	a	DET
ejpam-6024	73	7	bias	bias	NOUN
ejpam-6024	73	8	problem	problem	NOUN
ejpam-6024	73	9	due	due	ADP
ejpam-6024	73	10	to	to	ADP
ejpam-6024	73	11	the	the	DET
ejpam-6024	73	12	fact	fact	NOUN
ejpam-6024	73	13	it	it	PRON
ejpam-6024	73	14	depends	depend	VERB
ejpam-6024	73	15	on	on	ADP
ejpam-6024	73	16	a	a	DET
ejpam-6024	73	17	classical	classical	ADJ
ejpam-6024	73	18	estimator	estimator	NOUN
ejpam-6024	73	19	of	of	ADP
ejpam-6024	73	20	the	the	DET
ejpam-6024	73	21	value	value	NOUN
ejpam-6024	73	22	-	-	PUNCT
ejpam-6024	73	23	at	at	ADP
ejpam-6024	73	24	-	-	PUNCT
ejpam-6024	73	25	risk	risk	NOUN
ejpam-6024	73	26	estimator	estimator	NOUN
ejpam-6024	73	27	(	(	PUNCT
ejpam-6024	73	28	the	the	DET
ejpam-6024	73	29	weissman	weissman	PROPN
ejpam-6024	73	30	’s	’s	PART
ejpam-6024	73	31	estimator	estimator	NOUN
ejpam-6024	73	32	(	(	PUNCT
ejpam-6024	73	33	see	see	VERB
ejpam-6024	73	34	,	,	PUNCT
ejpam-6024	73	35	[	[	X
ejpam-6024	73	36	21	21	NUM
ejpam-6024	73	37	]	]	PUNCT
ejpam-6024	73	38	)	)	PUNCT
ejpam-6024	73	39	,	,	PUNCT
ejpam-6024	73	40	which	which	PRON
ejpam-6024	73	41	have	have	VERB
ejpam-6024	73	42	the	the	DET
ejpam-6024	73	43	same	same	ADJ
ejpam-6024	73	44	problem	problem	NOUN
ejpam-6024	73	45	.	.	PUNCT
ejpam-6024	74	1	the	the	DET
ejpam-6024	74	2	aim	aim	NOUN
ejpam-6024	74	3	of	of	ADP
ejpam-6024	74	4	this	this	DET
ejpam-6024	74	5	paper	paper	NOUN
ejpam-6024	74	6	is	be	AUX
ejpam-6024	74	7	to	to	PART
ejpam-6024	74	8	generalize	generalize	VERB
ejpam-6024	74	9	the	the	DET
ejpam-6024	74	10	estimator	estimator	NOUN
ejpam-6024	74	11	of	of	ADP
ejpam-6024	74	12	reinsurance	reinsurance	NOUN
ejpam-6024	74	13	risk	risk	NOUN
ejpam-6024	74	14	premiums	premium	NOUN
ejpam-6024	74	15	proposed	propose	VERB
ejpam-6024	74	16	in	in	ADP
ejpam-6024	74	17	[	[	X
ejpam-6024	74	18	17	17	NUM
ejpam-6024	74	19	]	]	PUNCT
ejpam-6024	74	20	.	.	PUNCT
ejpam-6024	75	1	as	as	SCONJ
ejpam-6024	75	2	it	it	PRON
ejpam-6024	75	3	exhibits	exhibit	VERB
ejpam-6024	75	4	a	a	DET
ejpam-6024	75	5	potential	potential	ADJ
ejpam-6024	75	6	bias	bias	NOUN
ejpam-6024	75	7	,	,	PUNCT
ejpam-6024	75	8	we	we	PRON
ejpam-6024	75	9	introduce	introduce	VERB
ejpam-6024	75	10	its	its	PRON
ejpam-6024	75	11	bias	bias	NOUN
ejpam-6024	75	12	reduction	reduction	NOUN
ejpam-6024	75	13	approach	approach	NOUN
ejpam-6024	75	14	under	under	ADP
ejpam-6024	75	15	under	under	ADP
ejpam-6024	75	16	dependent	dependent	ADJ
ejpam-6024	75	17	insured	insured	ADJ
ejpam-6024	75	18	risks	risk	NOUN
ejpam-6024	75	19	with	with	ADP
ejpam-6024	75	20	heavy	heavy	ADJ
ejpam-6024	75	21	tailed	tail	VERB
ejpam-6024	75	22	marginals	marginal	NOUN
ejpam-6024	75	23	.	.	PUNCT
ejpam-6024	76	1	our	our	PRON
ejpam-6024	76	2	consideration	consideration	NOUN
ejpam-6024	76	3	is	be	AUX
ejpam-6024	76	4	based	base	VERB
ejpam-6024	76	5	on	on	ADP
ejpam-6024	76	6	the	the	DET
ejpam-6024	76	7	bias	bias	NOUN
ejpam-6024	76	8	reduction	reduction	NOUN
ejpam-6024	76	9	approach	approach	NOUN
ejpam-6024	76	10	proposed	propose	VERB
ejpam-6024	76	11	by	by	ADP
ejpam-6024	76	12	[	[	X
ejpam-6024	76	13	19	19	NUM
ejpam-6024	76	14	]	]	PUNCT
ejpam-6024	76	15	in	in	ADP
ejpam-6024	76	16	the	the	DET
ejpam-6024	76	17	estimation	estimation	NOUN
ejpam-6024	76	18	of	of	ADP
ejpam-6024	76	19	the	the	DET
ejpam-6024	76	20	value	value	NOUN
ejpam-6024	76	21	-	-	PUNCT
ejpam-6024	76	22	at	at	ADP
ejpam-6024	76	23	risk	risk	NOUN
ejpam-6024	76	24	under	under	ADP
ejpam-6024	76	25	dependence	dependence	NOUN
ejpam-6024	76	26	serials	serial	NOUN
ejpam-6024	76	27	.	.	PUNCT
ejpam-6024	77	1	the	the	DET
ejpam-6024	77	2	rest	rest	NOUN
ejpam-6024	77	3	of	of	ADP
ejpam-6024	77	4	the	the	DET
ejpam-6024	77	5	paper	paper	NOUN
ejpam-6024	77	6	is	be	AUX
ejpam-6024	77	7	organized	organize	VERB
ejpam-6024	77	8	as	as	SCONJ
ejpam-6024	77	9	follows	follow	VERB
ejpam-6024	77	10	.	.	PUNCT
ejpam-6024	78	1	in	in	ADP
ejpam-6024	78	2	section	section	NOUN
ejpam-6024	78	3	2	2	NUM
ejpam-6024	78	4	,	,	PUNCT
ejpam-6024	78	5	we	we	PRON
ejpam-6024	78	6	propose	propose	VERB
ejpam-6024	78	7	a	a	DET
ejpam-6024	78	8	statistical	statistical	ADJ
ejpam-6024	78	9	estimation	estimation	NOUN
ejpam-6024	78	10	of	of	ADP
ejpam-6024	78	11	the	the	DET
ejpam-6024	78	12	distortion	distortion	NOUN
ejpam-6024	78	13	risk	risk	NOUN
ejpam-6024	78	14	premiums	premium	NOUN
ejpam-6024	78	15	under	under	ADP
ejpam-6024	78	16	dependent	dependent	ADJ
ejpam-6024	78	17	serials	serial	NOUN
ejpam-6024	78	18	.	.	PUNCT
ejpam-6024	79	1	in	in	ADP
ejpam-6024	79	2	section	section	NOUN
ejpam-6024	79	3	3	3	NUM
ejpam-6024	79	4	,	,	PUNCT
ejpam-6024	79	5	we	we	PRON
ejpam-6024	79	6	establish	establish	VERB
ejpam-6024	79	7	the	the	DET
ejpam-6024	79	8	asymptotic	asymptotic	ADJ
ejpam-6024	79	9	properties	property	NOUN
ejpam-6024	79	10	of	of	ADP
ejpam-6024	79	11	the	the	DET
ejpam-6024	79	12	proposed	propose	VERB
ejpam-6024	79	13	estimator	estimator	NOUN
ejpam-6024	79	14	.	.	PUNCT
ejpam-6024	80	1	then	then	ADV
ejpam-6024	80	2	in	in	ADP
ejpam-6024	80	3	section	section	NOUN
ejpam-6024	80	4	4	4	NUM
ejpam-6024	80	5	,	,	PUNCT
ejpam-6024	80	6	we	we	PRON
ejpam-6024	80	7	match	match	VERB
ejpam-6024	80	8	our	our	PRON
ejpam-6024	80	9	theoretical	theoretical	ADJ
ejpam-6024	80	10	results	result	NOUN
ejpam-6024	80	11	with	with	ADP
ejpam-6024	80	12	a	a	DET
ejpam-6024	80	13	simulation	simulation	NOUN
ejpam-6024	80	14	assessment	assessment	NOUN
ejpam-6024	80	15	in	in	ADP
ejpam-6024	80	16	order	order	NOUN
ejpam-6024	80	17	to	to	PART
ejpam-6024	80	18	highlight	highlight	VERB
ejpam-6024	80	19	the	the	DET
ejpam-6024	80	20	efficiency	efficiency	NOUN
ejpam-6024	80	21	of	of	ADP
ejpam-6024	80	22	our	our	PRON
ejpam-6024	80	23	methods	method	NOUN
ejpam-6024	80	24	.	.	PUNCT
ejpam-6024	81	1	finally	finally	ADV
ejpam-6024	81	2	,	,	PUNCT
ejpam-6024	81	3	sections	section	NOUN
ejpam-6024	81	4	5	5	NUM
ejpam-6024	81	5	and	and	CCONJ
ejpam-6024	81	6	6	6	NUM
ejpam-6024	81	7	are	be	AUX
ejpam-6024	81	8	respectively	respectively	ADV
ejpam-6024	81	9	devoted	devote	VERB
ejpam-6024	81	10	to	to	ADP
ejpam-6024	81	11	the	the	DET
ejpam-6024	81	12	conclusion	conclusion	NOUN
ejpam-6024	81	13	and	and	CCONJ
ejpam-6024	81	14	the	the	DET
ejpam-6024	81	15	proofs	proof	NOUN
ejpam-6024	81	16	of	of	ADP
ejpam-6024	81	17	our	our	PRON
ejpam-6024	81	18	main	main	ADJ
ejpam-6024	81	19	results	result	NOUN
ejpam-6024	81	20	.	.	PUNCT
ejpam-6024	82	1	2	2	X
ejpam-6024	82	2	.	.	X
ejpam-6024	82	3	estimating	estimate	VERB
ejpam-6024	82	4	the	the	DET
ejpam-6024	82	5	distortion	distortion	NOUN
ejpam-6024	82	6	risk	risk	NOUN
ejpam-6024	82	7	premiums	premium	NOUN
ejpam-6024	82	8	2.1	2.1	NUM
ejpam-6024	82	9	.	.	PUNCT
ejpam-6024	83	1	extreme	extreme	ADJ
ejpam-6024	83	2	value	value	NOUN
ejpam-6024	83	3	theory	theory	NOUN
ejpam-6024	83	4	under	under	ADP
ejpam-6024	83	5	dependence	dependence	NOUN
ejpam-6024	83	6	serials	serial	NOUN
ejpam-6024	83	7	extreme	extreme	ADJ
ejpam-6024	83	8	value	value	NOUN
ejpam-6024	83	9	statistics	statistic	NOUN
ejpam-6024	83	10	are	be	AUX
ejpam-6024	83	11	based	base	VERB
ejpam-6024	83	12	on	on	ADP
ejpam-6024	83	13	the	the	DET
ejpam-6024	83	14	fact	fact	NOUN
ejpam-6024	83	15	that	that	SCONJ
ejpam-6024	83	16	under	under	ADP
ejpam-6024	83	17	rather	rather	ADV
ejpam-6024	83	18	mild	mild	ADJ
ejpam-6024	83	19	conditions	condition	NOUN
ejpam-6024	83	20	for	for	ADP
ejpam-6024	83	21	large	large	ADJ
ejpam-6024	83	22	samples	sample	NOUN
ejpam-6024	83	23	,	,	PUNCT
ejpam-6024	83	24	a	a	DET
ejpam-6024	83	25	class	class	NOUN
ejpam-6024	83	26	of	of	ADP
ejpam-6024	83	27	distribution	distribution	NOUN
ejpam-6024	83	28	functions	function	NOUN
ejpam-6024	83	29	can	can	AUX
ejpam-6024	83	30	be	be	AUX
ejpam-6024	83	31	considered	consider	VERB
ejpam-6024	83	32	to	to	PART
ejpam-6024	83	33	fit	fit	VERB
ejpam-6024	83	34	the	the	DET
ejpam-6024	83	35	distribution	distribution	NOUN
ejpam-6024	83	36	of	of	ADP
ejpam-6024	83	37	the	the	DET
ejpam-6024	83	38	largest	large	ADJ
ejpam-6024	83	39	observation	observation	NOUN
ejpam-6024	83	40	in	in	ADP
ejpam-6024	83	41	a	a	DET
ejpam-6024	83	42	sample	sample	NOUN
ejpam-6024	83	43	.	.	PUNCT
ejpam-6024	84	1	from	from	ADP
ejpam-6024	84	2	this	this	DET
ejpam-6024	84	3	limit	limit	NOUN
ejpam-6024	84	4	theorem	theorem	VERB
ejpam-6024	84	5	,	,	PUNCT
ejpam-6024	84	6	it	it	PRON
ejpam-6024	84	7	follows	follow	VERB
ejpam-6024	84	8	that	that	SCONJ
ejpam-6024	84	9	the	the	DET
ejpam-6024	84	10	tail	tail	NOUN
ejpam-6024	84	11	behavior	behavior	NOUN
ejpam-6024	84	12	of	of	ADP
ejpam-6024	84	13	a	a	DET
ejpam-6024	84	14	distribution	distribution	NOUN
ejpam-6024	84	15	function	function	NOUN
ejpam-6024	84	16	can	can	AUX
ejpam-6024	84	17	be	be	AUX
ejpam-6024	84	18	characterized	characterize	VERB
ejpam-6024	84	19	mainly	mainly	ADV
ejpam-6024	84	20	by	by	ADP
ejpam-6024	84	21	a	a	DET
ejpam-6024	84	22	single	single	ADJ
ejpam-6024	84	23	shape	shape	NOUN
ejpam-6024	84	24	parameter	parameter	NOUN
ejpam-6024	84	25	,	,	PUNCT
ejpam-6024	84	26	called	call	VERB
ejpam-6024	84	27	the	the	DET
ejpam-6024	84	28	tail	tail	NOUN
ejpam-6024	84	29	index	index	NOUN
ejpam-6024	84	30	or	or	CCONJ
ejpam-6024	84	31	extreme	extreme	ADJ
ejpam-6024	84	32	value	value	NOUN
ejpam-6024	84	33	index	index	NOUN
ejpam-6024	84	34	.	.	PUNCT
ejpam-6024	85	1	based	base	VERB
ejpam-6024	85	2	on	on	ADP
ejpam-6024	85	3	the	the	DET
ejpam-6024	85	4	sign	sign	NOUN
ejpam-6024	85	5	of	of	ADP
ejpam-6024	85	6	extreme	extreme	ADJ
ejpam-6024	85	7	value	value	NOUN
ejpam-6024	85	8	index	index	NOUN
ejpam-6024	85	9	,	,	PUNCT
ejpam-6024	85	10	the	the	DET
ejpam-6024	85	11	domain	domain	NOUN
ejpam-6024	85	12	of	of	ADP
ejpam-6024	85	13	attraction	attraction	NOUN
ejpam-6024	85	14	of	of	ADP
ejpam-6024	85	15	the	the	DET
ejpam-6024	85	16	extreme	extreme	ADJ
ejpam-6024	85	17	value	value	NOUN
ejpam-6024	85	18	distribution	distribution	NOUN
ejpam-6024	85	19	can	can	AUX
ejpam-6024	85	20	be	be	AUX
ejpam-6024	85	21	divided	divide	VERB
ejpam-6024	85	22	into	into	ADP
ejpam-6024	85	23	three	three	NUM
ejpam-6024	85	24	subclasses	subclass	NOUN
ejpam-6024	85	25	.	.	PUNCT
ejpam-6024	86	1	to	to	ADP
ejpam-6024	86	2	this	this	DET
ejpam-6024	86	3	end	end	NOUN
ejpam-6024	86	4	,	,	PUNCT
ejpam-6024	86	5	let	let	VERB
ejpam-6024	86	6	’s	’s	NOUN
ejpam-6024	86	7	consider	consider	VERB
ejpam-6024	86	8	xi	xi	NOUN
ejpam-6024	86	9	,	,	PUNCT
ejpam-6024	86	10	i	i	PRON
ejpam-6024	86	11	∈	∈	PROPN
ejpam-6024	86	12	n	n	PRON
ejpam-6024	86	13	a	a	DET
ejpam-6024	86	14	copies	copy	NOUN
ejpam-6024	86	15	from	from	ADP
ejpam-6024	86	16	a	a	DET
ejpam-6024	86	17	non	non	ADJ
ejpam-6024	86	18	negative	negative	ADJ
ejpam-6024	86	19	stationary	stationary	ADJ
ejpam-6024	86	20	insured	insure	VERB
ejpam-6024	86	21	risk	risk	NOUN
ejpam-6024	86	22	x	x	PUNCT
ejpam-6024	86	23	defined	define	VERB
ejpam-6024	86	24	over	over	ADP
ejpam-6024	86	25	some	some	DET
ejpam-6024	86	26	probability	probability	NOUN
ejpam-6024	86	27	space	space	NOUN
ejpam-6024	86	28	(	(	PUNCT
ejpam-6024	86	29	ω	ω	NOUN
ejpam-6024	86	30	,	,	PUNCT
ejpam-6024	86	31	a	a	DET
ejpam-6024	86	32	,	,	PUNCT
ejpam-6024	86	33	p	p	NOUN
ejpam-6024	86	34	)	)	PUNCT
ejpam-6024	86	35	,	,	PUNCT
ejpam-6024	86	36	with	with	ADP
ejpam-6024	86	37	ncommon	ncommon	ADJ
ejpam-6024	86	38	marginal	marginal	ADJ
ejpam-6024	86	39	distribution	distribution	NOUN
ejpam-6024	86	40	function	function	NOUN
ejpam-6024	86	41	(	(	PUNCT
ejpam-6024	86	42	df	df	PROPN
ejpam-6024	86	43	)	)	PUNCT
ejpam-6024	86	44	f	f	NOUN
ejpam-6024	86	45	(	(	PUNCT
ejpam-6024	86	46	x	x	X
ejpam-6024	86	47	)	)	PUNCT
ejpam-6024	86	48	=	=	PUNCT
ejpam-6024	86	49	p(x	p(x	VERB
ejpam-6024	86	50	≤	≤	NUM
ejpam-6024	86	51	x	x	NOUN
ejpam-6024	86	52	)	)	PUNCT
ejpam-6024	86	53	.	.	PUNCT
ejpam-6024	87	1	indeed	indeed	ADV
ejpam-6024	87	2	,	,	PUNCT
ejpam-6024	87	3	under	under	ADP
ejpam-6024	87	4	mild	mild	ADJ
ejpam-6024	87	5	conditions	condition	NOUN
ejpam-6024	87	6	on	on	ADP
ejpam-6024	87	7	the	the	DET
ejpam-6024	87	8	dependence	dependence	NOUN
ejpam-6024	87	9	structure	structure	NOUN
ejpam-6024	87	10	,	,	PUNCT
ejpam-6024	87	11	if	if	SCONJ
ejpam-6024	87	12	the	the	DET
ejpam-6024	87	13	xi	xi	X
ejpam-6024	87	14	,	,	PUNCT
ejpam-6024	87	15	i	i	PRON
ejpam-6024	87	16	∈	∈	PROPN
ejpam-6024	87	17	n	n	PRON
ejpam-6024	87	18	are	be	AUX
ejpam-6024	87	19	weakly	weakly	ADV
ejpam-6024	87	20	dependent	dependent	ADJ
ejpam-6024	87	21	then	then	ADV
ejpam-6024	87	22	,	,	PUNCT
ejpam-6024	87	23	the	the	DET
ejpam-6024	87	24	corresponding	corresponding	ADJ
ejpam-6024	87	25	main	main	ADJ
ejpam-6024	87	26	result	result	NOUN
ejpam-6024	87	27	of	of	ADP
ejpam-6024	87	28	the	the	DET
ejpam-6024	87	29	extreme	extreme	ADJ
ejpam-6024	87	30	value	value	NOUN
ejpam-6024	87	31	theory	theory	NOUN
ejpam-6024	87	32	(	(	PUNCT
ejpam-6024	87	33	see	see	VERB
ejpam-6024	87	34	,	,	PUNCT
ejpam-6024	87	35	[	[	X
ejpam-6024	87	36	22	22	NUM
ejpam-6024	87	37	]	]	PUNCT
ejpam-6024	87	38	,	,	PUNCT
ejpam-6024	87	39	section	section	NOUN
ejpam-6024	87	40	3.7	3.7	NUM
ejpam-6024	87	41	)	)	PUNCT
ejpam-6024	87	42	,	,	PUNCT
ejpam-6024	87	43	under	under	ADP
ejpam-6024	87	44	some	some	DET
ejpam-6024	87	45	mild	mild	ADJ
ejpam-6024	87	46	dependence	dependence	NOUN
ejpam-6024	87	47	conditions	condition	NOUN
ejpam-6024	87	48	,	,	PUNCT
ejpam-6024	87	49	is	be	AUX
ejpam-6024	87	50	based	base	VERB
ejpam-6024	87	51	on	on	ADP
ejpam-6024	87	52	the	the	DET
ejpam-6024	87	53	following	follow	VERB
ejpam-6024	87	54	weak	weak	ADJ
ejpam-6024	87	55	convergence	convergence	NOUN
ejpam-6024	87	56	of	of	ADP
ejpam-6024	87	57	the	the	DET
ejpam-6024	87	58	distribution	distribution	NOUN
ejpam-6024	87	59	function	function	NOUN
ejpam-6024	87	60	from	from	ADP
ejpam-6024	87	61	the	the	DET
ejpam-6024	87	62	standardized	standardized	ADJ
ejpam-6024	87	63	a.	a.	NOUN
ejpam-6024	87	64	aghrabatt	aghrabatt	NOUN
ejpam-6024	87	65	et	et	PROPN
ejpam-6024	87	66	al	al	PROPN
ejpam-6024	87	67	.	.	PUNCT
ejpam-6024	87	68	/	/	SYM
ejpam-6024	87	69	eur	eur	PROPN
ejpam-6024	87	70	.	.	PUNCT
ejpam-6024	88	1	j.	j.	PROPN
ejpam-6024	88	2	pure	pure	PROPN
ejpam-6024	88	3	appl	appl	PROPN
ejpam-6024	88	4	.	.	PROPN
ejpam-6024	88	5	math	math	PROPN
ejpam-6024	88	6	,	,	PUNCT
ejpam-6024	88	7	18	18	NUM
ejpam-6024	88	8	(	(	PUNCT
ejpam-6024	88	9	2	2	NUM
ejpam-6024	88	10	)	)	PUNCT
ejpam-6024	88	11	(	(	PUNCT
ejpam-6024	88	12	2025	2025	NUM
ejpam-6024	88	13	)	)	PUNCT
ejpam-6024	88	14	,	,	PUNCT
ejpam-6024	88	15	6024	6024	NUM
ejpam-6024	88	16	5	5	NUM
ejpam-6024	88	17	of	of	ADP
ejpam-6024	88	18	25	25	NUM
ejpam-6024	88	19	maximum	maximum	NOUN
ejpam-6024	88	20	of	of	ADP
ejpam-6024	88	21	n	n	NOUN
ejpam-6024	88	22	observations	observation	NOUN
ejpam-6024	88	23	(	(	PUNCT
ejpam-6024	88	24	x1	x1	PROPN
ejpam-6024	88	25	,	,	PUNCT
ejpam-6024	88	26	..	..	PUNCT
ejpam-6024	88	27	,	,	PUNCT
ejpam-6024	88	28	xn	xn	PROPN
ejpam-6024	88	29	)	)	PUNCT
ejpam-6024	88	30	,	,	PUNCT
ejpam-6024	88	31	n	n	CCONJ
ejpam-6024	88	32	>	>	X
ejpam-6024	88	33	1	1	NUM
ejpam-6024	88	34	:	:	PUNCT
ejpam-6024	88	35	l	l	NOUN
ejpam-6024	88	36	(	(	PUNCT
ejpam-6024	88	37	a−1	a−1	PROPN
ejpam-6024	88	38	n	n	PROPN
ejpam-6024	88	39	(	(	PUNCT
ejpam-6024	88	40	max	max	PROPN
ejpam-6024	88	41	1≤i≤n	1≤i≤n	NUM
ejpam-6024	88	42	xi	xi	ADP
ejpam-6024	88	43	−	−	PROPN
ejpam-6024	88	44	bn	bn	NOUN
ejpam-6024	88	45	)	)	PUNCT
ejpam-6024	88	46	)	)	PUNCT
ejpam-6024	89	1	→	→	SYM
ejpam-6024	89	2	gθ	gθ	X
ejpam-6024	89	3	γ	γ	X
ejpam-6024	89	4	weakly	weakly	ADJ
ejpam-6024	89	5	,	,	PUNCT
ejpam-6024	89	6	(	(	PUNCT
ejpam-6024	89	7	5	5	NUM
ejpam-6024	89	8	)	)	PUNCT
ejpam-6024	89	9	for	for	ADP
ejpam-6024	89	10	some	some	DET
ejpam-6024	89	11	θ	θ	PROPN
ejpam-6024	89	12	∈	∈	PROPN
ejpam-6024	90	1	[	[	X
ejpam-6024	90	2	0	0	NUM
ejpam-6024	90	3	,	,	PUNCT
ejpam-6024	90	4	1	1	NUM
ejpam-6024	90	5	]	]	PUNCT
ejpam-6024	90	6	,	,	PUNCT
ejpam-6024	90	7	where	where	SCONJ
ejpam-6024	90	8	an	an	DET
ejpam-6024	90	9	>	>	X
ejpam-6024	90	10	0	0	NUM
ejpam-6024	90	11	,	,	PUNCT
ejpam-6024	90	12	bn	bn	NOUN
ejpam-6024	90	13	∈	∈	NOUN
ejpam-6024	90	14	r	r	NOUN
ejpam-6024	90	15	are	be	AUX
ejpam-6024	90	16	standardized	standardize	VERB
ejpam-6024	90	17	sequences	sequence	NOUN
ejpam-6024	90	18	and	and	CCONJ
ejpam-6024	90	19	gγ(x	gγ(x	NOUN
ejpam-6024	90	20	)	)	PUNCT
ejpam-6024	90	21	=	=	SYM
ejpam-6024	90	22	exp	exp	NOUN
ejpam-6024	90	23	(	(	PUNCT
ejpam-6024	90	24	−(1	−(1	NOUN
ejpam-6024	90	25	+	+	CCONJ
ejpam-6024	90	26	γx	γx	NOUN
ejpam-6024	90	27	)	)	PUNCT
ejpam-6024	90	28	−1	−1	NOUN
ejpam-6024	90	29	/	/	SYM
ejpam-6024	90	30	γ	γ	NOUN
ejpam-6024	90	31	+	+	NUM
ejpam-6024	90	32	)	)	PUNCT
ejpam-6024	90	33	,	,	PUNCT
ejpam-6024	90	34	with	with	ADP
ejpam-6024	90	35	y+	y+	PROPN
ejpam-6024	90	36	=	=	SYM
ejpam-6024	90	37	max(y	max(y	PROPN
ejpam-6024	90	38	,	,	PUNCT
ejpam-6024	90	39	0	0	NUM
ejpam-6024	90	40	)	)	PUNCT
ejpam-6024	90	41	and	and	CCONJ
ejpam-6024	90	42	gγ(x	gγ(x	NOUN
ejpam-6024	90	43	)	)	PUNCT
ejpam-6024	90	44	=	=	SYM
ejpam-6024	90	45	exp(e−x	exp(e−x	NOUN
ejpam-6024	90	46	)	)	PUNCT
ejpam-6024	90	47	,	,	PUNCT
ejpam-6024	90	48	for	for	ADP
ejpam-6024	90	49	γ	γ	X
ejpam-6024	90	50	=	=	SYM
ejpam-6024	90	51	0	0	NUM
ejpam-6024	90	52	.	.	PUNCT
ejpam-6024	91	1	here	here	ADV
ejpam-6024	91	2	,	,	PUNCT
ejpam-6024	91	3	the	the	DET
ejpam-6024	91	4	real	real	ADV
ejpam-6024	91	5	-	-	PUNCT
ejpam-6024	91	6	valued	value	VERB
ejpam-6024	91	7	parameter	parameter	NOUN
ejpam-6024	91	8	γ	γ	PROPN
ejpam-6024	91	9	is	be	AUX
ejpam-6024	91	10	referred	refer	VERB
ejpam-6024	91	11	to	to	ADP
ejpam-6024	91	12	as	as	ADP
ejpam-6024	91	13	the	the	DET
ejpam-6024	91	14	extreme	extreme	ADJ
ejpam-6024	91	15	value	value	NOUN
ejpam-6024	91	16	index	index	NOUN
ejpam-6024	91	17	of	of	ADP
ejpam-6024	91	18	f	f	PROPN
ejpam-6024	91	19	,	,	PUNCT
ejpam-6024	91	20	which	which	PRON
ejpam-6024	91	21	in	in	ADP
ejpam-6024	91	22	turn	turn	NOUN
ejpam-6024	91	23	is	be	AUX
ejpam-6024	91	24	said	say	VERB
ejpam-6024	91	25	to	to	PART
ejpam-6024	91	26	belong	belong	VERB
ejpam-6024	91	27	to	to	ADP
ejpam-6024	91	28	the	the	DET
ejpam-6024	91	29	maximum	maximum	ADJ
ejpam-6024	91	30	domain	domain	NOUN
ejpam-6024	91	31	of	of	ADP
ejpam-6024	91	32	attraction	attraction	NOUN
ejpam-6024	91	33	of	of	ADP
ejpam-6024	91	34	gγ	gγ	PROPN
ejpam-6024	91	35	,	,	PUNCT
ejpam-6024	91	36	denoted	denote	VERB
ejpam-6024	91	37	by	by	ADP
ejpam-6024	91	38	f	f	PROPN
ejpam-6024	91	39	∈	∈	PROPN
ejpam-6024	91	40	dm(gγ	dm(gγ	PROPN
ejpam-6024	91	41	)	)	PUNCT
ejpam-6024	91	42	.	.	PUNCT
ejpam-6024	92	1	throughout	throughout	ADP
ejpam-6024	92	2	this	this	DET
ejpam-6024	92	3	paper	paper	NOUN
ejpam-6024	92	4	,	,	PUNCT
ejpam-6024	92	5	we	we	PRON
ejpam-6024	92	6	assume	assume	VERB
ejpam-6024	92	7	that	that	SCONJ
ejpam-6024	92	8	the	the	DET
ejpam-6024	92	9	non	non	ADJ
ejpam-6024	92	10	negative	negative	ADJ
ejpam-6024	92	11	stationary	stationary	ADJ
ejpam-6024	92	12	insured	insure	VERB
ejpam-6024	92	13	risksxi	risksxi	NOUN
ejpam-6024	92	14	,	,	PUNCT
ejpam-6024	92	15	i	i	PRON
ejpam-6024	92	16	∈	∈	VERB
ejpam-6024	92	17	n	n	PRON
ejpam-6024	92	18	satisfies	satisfy	VERB
ejpam-6024	92	19	the	the	DET
ejpam-6024	92	20	following	follow	VERB
ejpam-6024	92	21	β	β	NOUN
ejpam-6024	92	22	-	-	ADJ
ejpam-6024	92	23	mixing	mix	VERB
ejpam-6024	92	24	dependence	dependence	NOUN
ejpam-6024	92	25	structure	structure	NOUN
ejpam-6024	92	26	condition	condition	NOUN
ejpam-6024	92	27	:	:	PUNCT
ejpam-6024	93	1	β(m	β(m	NOUN
ejpam-6024	93	2	)	)	PUNCT
ejpam-6024	93	3	:	:	PUNCT
ejpam-6024	93	4	=	=	NOUN
ejpam-6024	93	5	sup	sup	NUM
ejpam-6024	93	6	p≥1	p≥1	NOUN
ejpam-6024	93	7	e	e	NOUN
ejpam-6024	93	8	{	{	PUNCT
ejpam-6024	93	9	sup	sup	NOUN
ejpam-6024	93	10	c∈b∞p+m+1	c∈b∞p+m+1	NOUN
ejpam-6024	93	11	|p(c|bp	|p(c|bp	PROPN
ejpam-6024	93	12	1)−	1)−	PROPN
ejpam-6024	93	13	p(c)|	p(c)|	NOUN
ejpam-6024	93	14	}	}	PUNCT
ejpam-6024	93	15	→	→	SYM
ejpam-6024	93	16	0	0	NUM
ejpam-6024	93	17	,	,	PUNCT
ejpam-6024	93	18	(	(	PUNCT
ejpam-6024	93	19	6	6	NUM
ejpam-6024	93	20	)	)	PUNCT
ejpam-6024	93	21	as	as	ADP
ejpam-6024	93	22	m	m	PROPN
ejpam-6024	93	23	→	→	SYM
ejpam-6024	93	24	∞	∞	PROPN
ejpam-6024	93	25	,	,	PUNCT
ejpam-6024	93	26	where	where	SCONJ
ejpam-6024	93	27	bj	bj	VERB
ejpam-6024	93	28	i	i	PRON
ejpam-6024	93	29	denotes	denote	VERB
ejpam-6024	93	30	the	the	DET
ejpam-6024	93	31	σ	σ	PROPN
ejpam-6024	93	32	-	-	PUNCT
ejpam-6024	93	33	algebra	algebra	PROPN
ejpam-6024	93	34	generated	generate	VERB
ejpam-6024	93	35	by	by	ADP
ejpam-6024	93	36	(	(	PUNCT
ejpam-6024	93	37	xi	xi	PROPN
ejpam-6024	93	38	,	,	PUNCT
ejpam-6024	93	39	...	...	PUNCT
ejpam-6024	93	40	,	,	PUNCT
ejpam-6024	93	41	xj	xj	PROPN
ejpam-6024	93	42	)	)	PUNCT
ejpam-6024	93	43	.	.	PUNCT
ejpam-6024	94	1	without	without	ADP
ejpam-6024	94	2	loss	loss	NOUN
ejpam-6024	94	3	of	of	ADP
ejpam-6024	94	4	generality	generality	NOUN
ejpam-6024	94	5	,	,	PUNCT
ejpam-6024	94	6	β(m	β(m	PROPN
ejpam-6024	94	7	)	)	PUNCT
ejpam-6024	94	8	measures	measure	VERB
ejpam-6024	94	9	the	the	DET
ejpam-6024	94	10	total	total	ADJ
ejpam-6024	94	11	variation	variation	NOUN
ejpam-6024	94	12	distance	distance	NOUN
ejpam-6024	94	13	between	between	ADP
ejpam-6024	94	14	the	the	DET
ejpam-6024	94	15	unconditional	unconditional	ADJ
ejpam-6024	94	16	distribution	distribution	NOUN
ejpam-6024	94	17	of	of	ADP
ejpam-6024	94	18	the	the	DET
ejpam-6024	94	19	future	future	NOUN
ejpam-6024	94	20	of	of	ADP
ejpam-6024	94	21	the	the	DET
ejpam-6024	94	22	time	time	NOUN
ejpam-6024	94	23	series	series	NOUN
ejpam-6024	94	24	and	and	CCONJ
ejpam-6024	94	25	the	the	DET
ejpam-6024	94	26	conditional	conditional	ADJ
ejpam-6024	94	27	distribution	distribution	NOUN
ejpam-6024	94	28	of	of	ADP
ejpam-6024	94	29	the	the	DET
ejpam-6024	94	30	future	future	NOUN
ejpam-6024	94	31	given	give	VERB
ejpam-6024	94	32	the	the	DET
ejpam-6024	94	33	past	past	NOUN
ejpam-6024	94	34	of	of	ADP
ejpam-6024	94	35	the	the	DET
ejpam-6024	94	36	time	time	NOUN
ejpam-6024	94	37	series	series	NOUN
ejpam-6024	94	38	when	when	SCONJ
ejpam-6024	94	39	both	both	PRON
ejpam-6024	94	40	are	be	AUX
ejpam-6024	94	41	detached	detach	VERB
ejpam-6024	94	42	by	by	ADP
ejpam-6024	94	43	m	m	NOUN
ejpam-6024	94	44	time	time	NOUN
ejpam-6024	94	45	points	point	NOUN
ejpam-6024	94	46	.	.	PUNCT
ejpam-6024	95	1	also	also	ADV
ejpam-6024	95	2	;	;	PUNCT
ejpam-6024	95	3	it	it	PRON
ejpam-6024	95	4	is	be	AUX
ejpam-6024	95	5	assumed	assume	VERB
ejpam-6024	95	6	that	that	SCONJ
ejpam-6024	95	7	the	the	DET
ejpam-6024	95	8	common	common	ADJ
ejpam-6024	95	9	marginal	marginal	ADJ
ejpam-6024	95	10	distribution	distribution	NOUN
ejpam-6024	95	11	function	function	NOUN
ejpam-6024	95	12	f	f	PROPN
ejpam-6024	95	13	of	of	ADP
ejpam-6024	95	14	the	the	DET
ejpam-6024	95	15	β	β	NOUN
ejpam-6024	95	16	-	-	ADJ
ejpam-6024	95	17	mixing	mix	VERB
ejpam-6024	95	18	insured	insured	ADJ
ejpam-6024	95	19	risks	risk	NOUN
ejpam-6024	95	20	xi	xi	ADP
ejpam-6024	95	21	,	,	PUNCT
ejpam-6024	95	22	i	i	PRON
ejpam-6024	95	23	∈	∈	PROPN
ejpam-6024	95	24	n	n	CCONJ
ejpam-6024	95	25	,	,	PUNCT
ejpam-6024	95	26	is	be	AUX
ejpam-6024	95	27	heavy	heavy	ADV
ejpam-6024	95	28	-	-	PUNCT
ejpam-6024	95	29	tailed	tail	VERB
ejpam-6024	95	30	(	(	PUNCT
ejpam-6024	95	31	belonging	belong	VERB
ejpam-6024	95	32	to	to	ADP
ejpam-6024	95	33	the	the	DET
ejpam-6024	95	34	the	the	DET
ejpam-6024	95	35	fréchet	fréchet	NOUN
ejpam-6024	95	36	domain	domain	NOUN
ejpam-6024	95	37	of	of	ADP
ejpam-6024	95	38	attraction	attraction	NOUN
ejpam-6024	95	39	that	that	PRON
ejpam-6024	95	40	is	be	AUX
ejpam-6024	95	41	f	f	PROPN
ejpam-6024	95	42	∈	∈	PROPN
ejpam-6024	95	43	m(gγ	m(gγ	PROPN
ejpam-6024	95	44	)	)	PUNCT
ejpam-6024	95	45	,	,	PUNCT
ejpam-6024	95	46	γ	γ	X
ejpam-6024	95	47	>	>	X
ejpam-6024	95	48	0	0	NUM
ejpam-6024	95	49	)	)	PUNCT
ejpam-6024	95	50	.	.	PUNCT
ejpam-6024	96	1	this	this	PRON
ejpam-6024	96	2	is	be	AUX
ejpam-6024	96	3	equivalent	equivalent	ADJ
ejpam-6024	96	4	to	to	ADP
ejpam-6024	96	5	the	the	DET
ejpam-6024	96	6	fact	fact	NOUN
ejpam-6024	96	7	that	that	SCONJ
ejpam-6024	96	8	its	its	PRON
ejpam-6024	96	9	associated	associated	ADJ
ejpam-6024	96	10	tail	tail	NOUN
ejpam-6024	96	11	distribution	distribution	NOUN
ejpam-6024	96	12	function	function	NOUN
ejpam-6024	96	13	1−f	1−f	NUM
ejpam-6024	96	14	is	be	AUX
ejpam-6024	96	15	regularly	regularly	ADV
ejpam-6024	96	16	varying	vary	VERB
ejpam-6024	96	17	at	at	ADP
ejpam-6024	96	18	infinity	infinity	NOUN
ejpam-6024	96	19	with	with	ADP
ejpam-6024	96	20	index	index	NOUN
ejpam-6024	96	21	−1	−1	NOUN
ejpam-6024	96	22	/	/	SYM
ejpam-6024	96	23	γ	γ	X
ejpam-6024	96	24	<	<	X
ejpam-6024	96	25	0	0	NUM
ejpam-6024	96	26	.	.	PUNCT
ejpam-6024	97	1	more	more	ADV
ejpam-6024	97	2	precisely	precisely	ADV
ejpam-6024	97	3	,	,	PUNCT
ejpam-6024	97	4	that	that	PRON
ejpam-6024	97	5	is	is	ADV
ejpam-6024	97	6	f	f	PROPN
ejpam-6024	97	7	(	(	PUNCT
ejpam-6024	97	8	x	x	NOUN
ejpam-6024	97	9	)	)	PUNCT
ejpam-6024	97	10	:	:	PUNCT
ejpam-6024	98	1	=	=	SYM
ejpam-6024	98	2	1−	1−	NUM
ejpam-6024	98	3	f	f	X
ejpam-6024	98	4	(	(	PUNCT
ejpam-6024	98	5	x	x	NOUN
ejpam-6024	98	6	)	)	PUNCT
ejpam-6024	98	7	=	=	SYM
ejpam-6024	98	8	x−1	x−1	PROPN
ejpam-6024	98	9	/	/	SYM
ejpam-6024	98	10	γℓf	γℓf	NOUN
ejpam-6024	98	11	(	(	PUNCT
ejpam-6024	98	12	x	x	NOUN
ejpam-6024	98	13	)	)	PUNCT
ejpam-6024	98	14	,	,	PUNCT
ejpam-6024	98	15	x	x	X
ejpam-6024	98	16	>	>	X
ejpam-6024	98	17	0	0	NUM
ejpam-6024	98	18	,	,	PUNCT
ejpam-6024	98	19	(	(	PUNCT
ejpam-6024	98	20	7	7	X
ejpam-6024	98	21	)	)	PUNCT
ejpam-6024	98	22	where	where	SCONJ
ejpam-6024	98	23	ℓf	ℓf	NOUN
ejpam-6024	98	24	is	be	AUX
ejpam-6024	98	25	a	a	DET
ejpam-6024	98	26	slowly	slowly	ADV
ejpam-6024	98	27	varying	vary	VERB
ejpam-6024	98	28	function	function	NOUN
ejpam-6024	98	29	at	at	ADP
ejpam-6024	98	30	infinity	infinity	NOUN
ejpam-6024	98	31	,	,	PUNCT
ejpam-6024	98	32	i.e	i.e	X
ejpam-6024	98	33	for	for	ADP
ejpam-6024	98	34	all	all	PRON
ejpam-6024	98	35	x	x	SYM
ejpam-6024	98	36	>	>	X
ejpam-6024	98	37	0	0	NUM
ejpam-6024	98	38	,	,	PUNCT
ejpam-6024	98	39	ℓf	ℓf	X
ejpam-6024	98	40	(	(	PUNCT
ejpam-6024	98	41	tx)/ℓf	tx)/ℓf	PROPN
ejpam-6024	98	42	(	(	PUNCT
ejpam-6024	98	43	t	t	NOUN
ejpam-6024	98	44	)	)	PUNCT
ejpam-6024	98	45	→	→	SYM
ejpam-6024	98	46	1	1	NUM
ejpam-6024	98	47	,	,	PUNCT
ejpam-6024	98	48	as	as	ADP
ejpam-6024	98	49	t	t	PROPN
ejpam-6024	98	50	→	→	SYM
ejpam-6024	98	51	∞.	∞.	PROPN
ejpam-6024	98	52	the	the	DET
ejpam-6024	98	53	relation	relation	NOUN
ejpam-6024	98	54	(	(	PUNCT
ejpam-6024	98	55	7	7	X
ejpam-6024	98	56	)	)	PUNCT
ejpam-6024	98	57	is	be	AUX
ejpam-6024	98	58	also	also	ADV
ejpam-6024	98	59	equivalent	equivalent	ADJ
ejpam-6024	98	60	to	to	ADP
ejpam-6024	98	61	u(z	u(z	VERB
ejpam-6024	98	62	)	)	PUNCT
ejpam-6024	98	63	=	=	SYM
ejpam-6024	99	1	q(1−	q(1−	NOUN
ejpam-6024	99	2	z−1	z−1	NUM
ejpam-6024	99	3	)	)	PUNCT
ejpam-6024	99	4	=	=	SYM
ejpam-6024	99	5	zγℓu	zγℓu	X
ejpam-6024	99	6	(	(	PUNCT
ejpam-6024	99	7	z	z	NOUN
ejpam-6024	99	8	)	)	PUNCT
ejpam-6024	99	9	,	,	PUNCT
ejpam-6024	99	10	z	z	NOUN
ejpam-6024	99	11	>	>	X
ejpam-6024	99	12	1	1	NUM
ejpam-6024	99	13	,	,	PUNCT
ejpam-6024	99	14	where	where	SCONJ
ejpam-6024	99	15	ℓu	ℓu	X
ejpam-6024	99	16	(	(	PUNCT
ejpam-6024	99	17	tz)/ℓu	tz)/ℓu	PROPN
ejpam-6024	99	18	(	(	PUNCT
ejpam-6024	99	19	t	t	NOUN
ejpam-6024	99	20	)	)	PUNCT
ejpam-6024	99	21	→	→	SYM
ejpam-6024	99	22	1	1	NUM
ejpam-6024	99	23	,	,	PUNCT
ejpam-6024	99	24	as	as	ADP
ejpam-6024	99	25	t	t	PROPN
ejpam-6024	99	26	→	→	SYM
ejpam-6024	99	27	∞	∞	PROPN
ejpam-6024	99	28	,	,	PUNCT
ejpam-6024	99	29	for	for	ADP
ejpam-6024	99	30	all	all	DET
ejpam-6024	99	31	z	z	NOUN
ejpam-6024	99	32	>	>	X
ejpam-6024	99	33	1	1	NUM
ejpam-6024	99	34	,	,	PUNCT
ejpam-6024	99	35	where	where	SCONJ
ejpam-6024	99	36	q(1	q(1	PROPN
ejpam-6024	99	37	−	−	PROPN
ejpam-6024	99	38	s	s	NOUN
ejpam-6024	99	39	)	)	PUNCT
ejpam-6024	99	40	=	=	PUNCT
ejpam-6024	99	41	inf{x	inf{x	NOUN
ejpam-6024	99	42	,	,	PUNCT
ejpam-6024	99	43	f	f	PROPN
ejpam-6024	99	44	(	(	PUNCT
ejpam-6024	99	45	x	x	NOUN
ejpam-6024	99	46	)	)	PUNCT
ejpam-6024	99	47	≥	≥	PRON
ejpam-6024	99	48	s	s	PART
ejpam-6024	99	49	}	}	PUNCT
ejpam-6024	99	50	is	be	AUX
ejpam-6024	99	51	the	the	DET
ejpam-6024	99	52	quantile	quantile	ADJ
ejpam-6024	99	53	function	function	NOUN
ejpam-6024	99	54	associated	associate	VERB
ejpam-6024	99	55	to	to	ADP
ejpam-6024	99	56	f	f	PROPN
ejpam-6024	99	57	,	,	PUNCT
ejpam-6024	99	58	namely	namely	ADV
ejpam-6024	99	59	called	call	VERB
ejpam-6024	99	60	the	the	DET
ejpam-6024	99	61	value	value	NOUN
ejpam-6024	99	62	-	-	PUNCT
ejpam-6024	99	63	at	at	ADP
ejpam-6024	99	64	-	-	PUNCT
ejpam-6024	99	65	risk	risk	NOUN
ejpam-6024	99	66	.	.	PUNCT
ejpam-6024	100	1	the	the	DET
ejpam-6024	100	2	class	class	NOUN
ejpam-6024	100	3	of	of	ADP
ejpam-6024	100	4	heavytailed	heavytailed	ADJ
ejpam-6024	100	5	distributions	distribution	NOUN
ejpam-6024	100	6	includes	include	VERB
ejpam-6024	100	7	distributions	distribution	NOUN
ejpam-6024	100	8	such	such	ADJ
ejpam-6024	100	9	as	as	ADP
ejpam-6024	100	10	pareto	pareto	ADJ
ejpam-6024	100	11	,	,	PUNCT
ejpam-6024	100	12	burr	burr	NOUN
ejpam-6024	100	13	,	,	PUNCT
ejpam-6024	100	14	student	student	NOUN
ejpam-6024	100	15	,	,	PUNCT
ejpam-6024	100	16	lévy	lévy	NOUN
ejpam-6024	100	17	-	-	ADJ
ejpam-6024	100	18	stable	stable	ADJ
ejpam-6024	100	19	,	,	PUNCT
ejpam-6024	100	20	and	and	CCONJ
ejpam-6024	100	21	log	log	NOUN
ejpam-6024	100	22	-	-	PUNCT
ejpam-6024	100	23	gamma	gamma	NOUN
ejpam-6024	100	24	which	which	PRON
ejpam-6024	100	25	are	be	AUX
ejpam-6024	100	26	known	know	VERB
ejpam-6024	100	27	to	to	PART
ejpam-6024	100	28	be	be	AUX
ejpam-6024	100	29	appropriate	appropriate	ADJ
ejpam-6024	100	30	models	model	NOUN
ejpam-6024	100	31	in	in	ADP
ejpam-6024	100	32	extreme	extreme	ADJ
ejpam-6024	100	33	value	value	NOUN
ejpam-6024	100	34	theory	theory	NOUN
ejpam-6024	100	35	for	for	ADP
ejpam-6024	100	36	fitting	fitting	ADJ
ejpam-6024	100	37	large	large	ADJ
ejpam-6024	100	38	insurance	insurance	NOUN
ejpam-6024	100	39	claims	claim	NOUN
ejpam-6024	100	40	,	,	PUNCT
ejpam-6024	100	41	large	large	ADJ
ejpam-6024	100	42	fluctuations	fluctuation	NOUN
ejpam-6024	100	43	of	of	ADP
ejpam-6024	100	44	prices	price	NOUN
ejpam-6024	100	45	,	,	PUNCT
ejpam-6024	100	46	log	log	NOUN
ejpam-6024	100	47	-	-	PUNCT
ejpam-6024	100	48	returns	return	NOUN
ejpam-6024	100	49	,	,	PUNCT
ejpam-6024	100	50	etc	etc	X
ejpam-6024	100	51	.	.	X
ejpam-6024	100	52	(	(	PUNCT
ejpam-6024	100	53	see	see	VERB
ejpam-6024	100	54	,	,	PUNCT
ejpam-6024	100	55	e.g.	e.g.	ADV
ejpam-6024	100	56	,	,	PUNCT
ejpam-6024	100	57	[	[	X
ejpam-6024	100	58	23	23	NUM
ejpam-6024	100	59	]	]	PUNCT
ejpam-6024	100	60	,	,	PUNCT
ejpam-6024	100	61	[	[	X
ejpam-6024	100	62	24	24	NUM
ejpam-6024	100	63	]	]	PUNCT
ejpam-6024	100	64	,	,	PUNCT
ejpam-6024	100	65	[	[	X
ejpam-6024	100	66	12	12	NUM
ejpam-6024	100	67	]	]	PUNCT
ejpam-6024	100	68	,	,	PUNCT
ejpam-6024	100	69	[	[	X
ejpam-6024	100	70	13	13	NUM
ejpam-6024	100	71	]	]	PUNCT
ejpam-6024	100	72	,	,	PUNCT
ejpam-6024	100	73	[	[	X
ejpam-6024	100	74	8	8	NUM
ejpam-6024	100	75	]	]	PUNCT
ejpam-6024	100	76	,	,	PUNCT
ejpam-6024	100	77	[	[	X
ejpam-6024	100	78	14	14	NUM
ejpam-6024	100	79	]	]	PUNCT
ejpam-6024	100	80	,	,	PUNCT
ejpam-6024	100	81	[	[	X
ejpam-6024	100	82	25	25	NUM
ejpam-6024	100	83	]	]	PUNCT
ejpam-6024	100	84	,	,	PUNCT
ejpam-6024	100	85	[	[	X
ejpam-6024	100	86	26	26	NUM
ejpam-6024	100	87	]	]	PUNCT
ejpam-6024	100	88	,	,	PUNCT
ejpam-6024	100	89	[	[	X
ejpam-6024	100	90	15	15	NUM
ejpam-6024	100	91	]	]	PUNCT
ejpam-6024	100	92	,	,	PUNCT
ejpam-6024	100	93	[	[	X
ejpam-6024	100	94	9	9	NUM
ejpam-6024	100	95	]	]	PUNCT
ejpam-6024	100	96	,	,	PUNCT
ejpam-6024	100	97	etc	etc	X
ejpam-6024	100	98	.	.	X
ejpam-6024	100	99	)	)	PUNCT
ejpam-6024	100	100	.	.	PUNCT
ejpam-6024	101	1	from	from	ADP
ejpam-6024	101	2	(	(	PUNCT
ejpam-6024	101	3	7	7	NUM
ejpam-6024	101	4	)	)	PUNCT
ejpam-6024	101	5	,	,	PUNCT
ejpam-6024	101	6	one	one	PRON
ejpam-6024	101	7	can	can	AUX
ejpam-6024	101	8	easily	easily	ADV
ejpam-6024	101	9	see	see	VERB
ejpam-6024	101	10	that	that	PRON
ejpam-6024	101	11	for	for	ADP
ejpam-6024	101	12	all	all	DET
ejpam-6024	101	13	x	x	SYM
ejpam-6024	101	14	>	>	PUNCT
ejpam-6024	101	15	0	0	PUNCT
ejpam-6024	101	16	and	and	CCONJ
ejpam-6024	101	17	z	z	NOUN
ejpam-6024	101	18	>	>	X
ejpam-6024	102	1	1	1	NUM
ejpam-6024	102	2	:	:	PUNCT
ejpam-6024	102	3	lim	lim	PROPN
ejpam-6024	102	4	t→∞	t→∞	ADP
ejpam-6024	102	5	f	f	PROPN
ejpam-6024	102	6	(	(	PUNCT
ejpam-6024	102	7	tx	tx	PROPN
ejpam-6024	102	8	)	)	PUNCT
ejpam-6024	102	9	f	f	PROPN
ejpam-6024	102	10	(	(	PUNCT
ejpam-6024	102	11	t	t	PROPN
ejpam-6024	102	12	)	)	PUNCT
ejpam-6024	102	13	=	=	PUNCT
ejpam-6024	102	14	x−1	x−1	PROPN
ejpam-6024	102	15	/	/	SYM
ejpam-6024	102	16	γ	γ	PROPN
ejpam-6024	102	17	⇔	⇔	PROPN
ejpam-6024	102	18	lim	lim	PROPN
ejpam-6024	102	19	t→∞	t→∞	ADP
ejpam-6024	102	20	u(tz	u(tz	PROPN
ejpam-6024	102	21	)	)	PUNCT
ejpam-6024	102	22	u(t	u(t	NOUN
ejpam-6024	102	23	)	)	PUNCT
ejpam-6024	103	1	=	=	SYM
ejpam-6024	103	2	zγ	zγ	PROPN
ejpam-6024	103	3	.	.	PUNCT
ejpam-6024	104	1	(	(	PUNCT
ejpam-6024	104	2	8)	8)	NUM
ejpam-6024	104	3	the	the	DET
ejpam-6024	104	4	relation	relation	NOUN
ejpam-6024	104	5	in	in	ADP
ejpam-6024	104	6	(	(	PUNCT
ejpam-6024	104	7	8)	8)	NUM
ejpam-6024	104	8	is	be	AUX
ejpam-6024	104	9	namely	namely	ADV
ejpam-6024	104	10	called	call	VERB
ejpam-6024	104	11	the	the	DET
ejpam-6024	104	12	first	first	ADJ
ejpam-6024	104	13	order	order	NOUN
ejpam-6024	104	14	regularly	regularly	ADV
ejpam-6024	104	15	varying	vary	VERB
ejpam-6024	104	16	condition	condition	NOUN
ejpam-6024	104	17	.	.	PUNCT
ejpam-6024	105	1	the	the	DET
ejpam-6024	105	2	parameter	parameter	NOUN
ejpam-6024	105	3	γ	γ	PROPN
ejpam-6024	105	4	is	be	AUX
ejpam-6024	105	5	the	the	DET
ejpam-6024	105	6	tail	tail	NOUN
ejpam-6024	105	7	index	index	NOUN
ejpam-6024	105	8	(	(	PUNCT
ejpam-6024	105	9	or	or	CCONJ
ejpam-6024	105	10	the	the	DET
ejpam-6024	105	11	extreme	extreme	ADJ
ejpam-6024	105	12	value	value	NOUN
ejpam-6024	105	13	index	index	NOUN
ejpam-6024	105	14	)	)	PUNCT
ejpam-6024	105	15	and	and	CCONJ
ejpam-6024	105	16	governs	govern	VERB
ejpam-6024	105	17	the	the	DET
ejpam-6024	105	18	tail	tail	NOUN
ejpam-6024	105	19	behavior	behavior	NOUN
ejpam-6024	105	20	,	,	PUNCT
ejpam-6024	105	21	a.	a.	NOUN
ejpam-6024	105	22	aghrabatt	aghrabatt	PROPN
ejpam-6024	105	23	et	et	PROPN
ejpam-6024	105	24	al	al	PROPN
ejpam-6024	105	25	.	.	PUNCT
ejpam-6024	105	26	/	/	SYM
ejpam-6024	105	27	eur	eur	PROPN
ejpam-6024	105	28	.	.	PUNCT
ejpam-6024	106	1	j.	j.	PROPN
ejpam-6024	106	2	pure	pure	PROPN
ejpam-6024	106	3	appl	appl	PROPN
ejpam-6024	106	4	.	.	PROPN
ejpam-6024	106	5	math	math	PROPN
ejpam-6024	106	6	,	,	PUNCT
ejpam-6024	106	7	18	18	NUM
ejpam-6024	106	8	(	(	PUNCT
ejpam-6024	106	9	2	2	NUM
ejpam-6024	106	10	)	)	PUNCT
ejpam-6024	106	11	(	(	PUNCT
ejpam-6024	106	12	2025	2025	NUM
ejpam-6024	106	13	)	)	PUNCT
ejpam-6024	106	14	,	,	PUNCT
ejpam-6024	106	15	6024	6024	NUM
ejpam-6024	106	16	6	6	NUM
ejpam-6024	106	17	of	of	ADP
ejpam-6024	106	18	25	25	NUM
ejpam-6024	106	19	with	with	ADP
ejpam-6024	106	20	larger	large	ADJ
ejpam-6024	106	21	values	value	NOUN
ejpam-6024	106	22	indicating	indicate	VERB
ejpam-6024	106	23	heavier	heavy	ADJ
ejpam-6024	106	24	tails	tail	NOUN
ejpam-6024	106	25	.	.	PUNCT
ejpam-6024	107	1	its	its	PRON
ejpam-6024	107	2	estimation	estimation	NOUN
ejpam-6024	107	3	has	have	AUX
ejpam-6024	107	4	received	receive	VERB
ejpam-6024	107	5	a	a	DET
ejpam-6024	107	6	great	great	ADJ
ejpam-6024	107	7	attention	attention	NOUN
ejpam-6024	107	8	in	in	ADP
ejpam-6024	107	9	the	the	DET
ejpam-6024	107	10	extreme	extreme	ADJ
ejpam-6024	107	11	value	value	NOUN
ejpam-6024	107	12	literature	literature	NOUN
ejpam-6024	107	13	,	,	PUNCT
ejpam-6024	107	14	especially	especially	ADV
ejpam-6024	107	15	in	in	ADP
ejpam-6024	107	16	the	the	DET
ejpam-6024	107	17	case	case	NOUN
ejpam-6024	107	18	of	of	ADP
ejpam-6024	107	19	i.i.d	i.i.d	PROPN
ejpam-6024	107	20	.	.	PUNCT
ejpam-6024	108	1	random	random	ADJ
ejpam-6024	108	2	variables	variable	NOUN
ejpam-6024	108	3	(	(	PUNCT
ejpam-6024	108	4	cf	cf	NOUN
ejpam-6024	108	5	.	.	PUNCT
ejpam-6024	109	1	[	[	X
ejpam-6024	109	2	11	11	NUM
ejpam-6024	109	3	]	]	NUM
ejpam-6024	109	4	)	)	PUNCT
ejpam-6024	109	5	.	.	PUNCT
ejpam-6024	110	1	although	although	SCONJ
ejpam-6024	110	2	only	only	ADV
ejpam-6024	110	3	few	few	ADJ
ejpam-6024	110	4	papers	paper	NOUN
ejpam-6024	110	5	consider	consider	VERB
ejpam-6024	110	6	that	that	PRON
ejpam-6024	110	7	for	for	ADP
ejpam-6024	110	8	the	the	DET
ejpam-6024	110	9	case	case	NOUN
ejpam-6024	110	10	of	of	ADP
ejpam-6024	110	11	time	time	NOUN
ejpam-6024	110	12	series	series	NOUN
ejpam-6024	110	13	with	with	ADP
ejpam-6024	110	14	serial	serial	ADJ
ejpam-6024	110	15	dependence	dependence	NOUN
ejpam-6024	110	16	features	feature	NOUN
ejpam-6024	110	17	.	.	PUNCT
ejpam-6024	111	1	we	we	PRON
ejpam-6024	111	2	can	can	AUX
ejpam-6024	111	3	mention	mention	VERB
ejpam-6024	111	4	among	among	ADP
ejpam-6024	111	5	others	other	NOUN
ejpam-6024	111	6	,	,	PUNCT
ejpam-6024	111	7	[	[	X
ejpam-6024	111	8	27	27	NUM
ejpam-6024	111	9	]	]	PUNCT
ejpam-6024	111	10	,	,	PUNCT
ejpam-6024	111	11	[	[	X
ejpam-6024	111	12	28	28	NUM
ejpam-6024	111	13	]	]	PUNCT
ejpam-6024	111	14	.	.	PUNCT
ejpam-6024	112	1	and	and	CCONJ
ejpam-6024	112	2	very	very	ADV
ejpam-6024	112	3	recently	recently	ADV
ejpam-6024	112	4	[	[	X
ejpam-6024	112	5	18	18	NUM
ejpam-6024	112	6	]	]	PUNCT
ejpam-6024	112	7	,	,	PUNCT
ejpam-6024	112	8	[	[	X
ejpam-6024	112	9	19	19	NUM
ejpam-6024	112	10	]	]	PUNCT
ejpam-6024	112	11	and	and	CCONJ
ejpam-6024	112	12	[	[	X
ejpam-6024	112	13	20	20	NUM
ejpam-6024	112	14	]	]	PUNCT
ejpam-6024	112	15	.	.	PUNCT
ejpam-6024	113	1	next	next	ADV
ejpam-6024	113	2	,	,	PUNCT
ejpam-6024	113	3	we	we	PRON
ejpam-6024	113	4	note	note	VERB
ejpam-6024	113	5	that	that	SCONJ
ejpam-6024	113	6	:	:	PUNCT
ejpam-6024	113	7	•	•	X
ejpam-6024	113	8	when	when	SCONJ
ejpam-6024	113	9	γ	γ	X
ejpam-6024	113	10	>	>	X
ejpam-6024	113	11	1	1	NUM
ejpam-6024	113	12	,	,	PUNCT
ejpam-6024	113	13	the	the	DET
ejpam-6024	113	14	first	first	ADJ
ejpam-6024	113	15	moment	moment	NOUN
ejpam-6024	113	16	e(x1	e(x1	NOUN
ejpam-6024	113	17	)	)	PUNCT
ejpam-6024	113	18	of	of	ADP
ejpam-6024	113	19	the	the	DET
ejpam-6024	113	20	dependence	dependence	NOUN
ejpam-6024	113	21	insured	insure	VERB
ejpam-6024	113	22	losses	loss	NOUN
ejpam-6024	113	23	is	be	AUX
ejpam-6024	113	24	not	not	PART
ejpam-6024	113	25	defined	define	VERB
ejpam-6024	113	26	.	.	PUNCT
ejpam-6024	114	1	thus	thus	ADV
ejpam-6024	114	2	,	,	PUNCT
ejpam-6024	114	3	their	their	PRON
ejpam-6024	114	4	associated	associated	ADJ
ejpam-6024	114	5	reinsurance	reinsurance	NOUN
ejpam-6024	114	6	distorted	distort	VERB
ejpam-6024	114	7	risk	risk	NOUN
ejpam-6024	114	8	premiums	premium	NOUN
ejpam-6024	114	9	πgβ	πgβ	NOUN
ejpam-6024	114	10	(	(	PUNCT
ejpam-6024	114	11	r	r	NOUN
ejpam-6024	114	12	)	)	PUNCT
ejpam-6024	114	13	is	be	AUX
ejpam-6024	114	14	also	also	ADV
ejpam-6024	114	15	not	not	PART
ejpam-6024	114	16	defined	define	VERB
ejpam-6024	114	17	and	and	CCONJ
ejpam-6024	114	18	it	it	PRON
ejpam-6024	114	19	is	be	AUX
ejpam-6024	114	20	not	not	PART
ejpam-6024	114	21	possible	possible	ADJ
ejpam-6024	114	22	to	to	PART
ejpam-6024	114	23	do	do	VERB
ejpam-6024	114	24	its	its	PRON
ejpam-6024	114	25	statistical	statistical	ADJ
ejpam-6024	114	26	estimation	estimation	NOUN
ejpam-6024	114	27	.	.	PUNCT
ejpam-6024	115	1	•	•	NUM
ejpam-6024	115	2	when	when	SCONJ
ejpam-6024	115	3	0	0	PUNCT
ejpam-6024	115	4	<	<	X
ejpam-6024	115	5	γ	γ	PROPN
ejpam-6024	115	6	≤	≤	NOUN
ejpam-6024	115	7	1/2	1/2	NUM
ejpam-6024	115	8	(	(	PUNCT
ejpam-6024	115	9	the	the	DET
ejpam-6024	115	10	lower	low	ADJ
ejpam-6024	115	11	half	half	NOUN
ejpam-6024	115	12	of	of	ADP
ejpam-6024	115	13	the	the	DET
ejpam-6024	115	14	unit	unit	NOUN
ejpam-6024	115	15	interval	interval	NOUN
ejpam-6024	115	16	)	)	PUNCT
ejpam-6024	115	17	,	,	PUNCT
ejpam-6024	115	18	then	then	ADV
ejpam-6024	115	19	the	the	DET
ejpam-6024	115	20	second	second	ADJ
ejpam-6024	115	21	moments	moment	NOUN
ejpam-6024	115	22	of	of	ADP
ejpam-6024	115	23	the	the	PRON
ejpam-6024	115	24	of	of	ADP
ejpam-6024	115	25	the	the	DET
ejpam-6024	115	26	dependence	dependence	NOUN
ejpam-6024	115	27	insured	insure	VERB
ejpam-6024	115	28	losses	loss	NOUN
ejpam-6024	115	29	,	,	PUNCT
ejpam-6024	115	30	e[x2+ϵ	e[x2+ϵ	ADP
ejpam-6024	115	31	1	1	X
ejpam-6024	115	32	]	]	PUNCT
ejpam-6024	115	33	<	<	X
ejpam-6024	115	34	∞	∞	PROPN
ejpam-6024	115	35	,	,	PUNCT
ejpam-6024	115	36	for	for	ADP
ejpam-6024	115	37	some	some	DET
ejpam-6024	115	38	ϵ	ϵ	PROPN
ejpam-6024	115	39	>	>	X
ejpam-6024	115	40	0	0	NUM
ejpam-6024	115	41	,	,	PUNCT
ejpam-6024	115	42	and	and	CCONJ
ejpam-6024	115	43	so	so	ADV
ejpam-6024	115	44	a	a	DET
ejpam-6024	115	45	nonparametric	nonparametric	NOUN
ejpam-6024	115	46	estimator	estimator	NOUN
ejpam-6024	115	47	for	for	ADP
ejpam-6024	115	48	the	the	DET
ejpam-6024	115	49	reinsurance	reinsurance	NOUN
ejpam-6024	115	50	distorted	distort	VERB
ejpam-6024	115	51	risk	risk	NOUN
ejpam-6024	115	52	premiums	premium	NOUN
ejpam-6024	115	53	πgβ	πgβ	NOUN
ejpam-6024	115	54	(	(	PUNCT
ejpam-6024	115	55	r	r	NOUN
ejpam-6024	115	56	)	)	PUNCT
ejpam-6024	115	57	can	can	AUX
ejpam-6024	115	58	be	be	AUX
ejpam-6024	115	59	obtain	obtain	VERB
ejpam-6024	115	60	by	by	ADP
ejpam-6024	115	61	substituting	substitute	VERB
ejpam-6024	115	62	in	in	ADP
ejpam-6024	115	63	(	(	PUNCT
ejpam-6024	115	64	3	3	X
ejpam-6024	115	65	)	)	PUNCT
ejpam-6024	115	66	the	the	DET
ejpam-6024	115	67	unknown	unknown	ADJ
ejpam-6024	115	68	distribution	distribution	NOUN
ejpam-6024	115	69	function	function	NOUN
ejpam-6024	115	70	f	f	PROPN
ejpam-6024	115	71	with	with	ADP
ejpam-6024	115	72	its	its	PRON
ejpam-6024	115	73	empirical	empirical	ADJ
ejpam-6024	115	74	component	component	NOUN
ejpam-6024	115	75	fn	fn	NOUN
ejpam-6024	115	76	defined	define	VERB
ejpam-6024	115	77	as	as	ADP
ejpam-6024	115	78	fn(x	fn(x	NOUN
ejpam-6024	115	79	)	)	PUNCT
ejpam-6024	116	1	=	=	SYM
ejpam-6024	116	2	n−1	n−1	PROPN
ejpam-6024	117	1	∑n	∑n	PROPN
ejpam-6024	117	2	i=1	i=1	PROPN
ejpam-6024	117	3	1(xi	1(xi	NUM
ejpam-6024	117	4	≤	≤	NUM
ejpam-6024	117	5	x	x	X
ejpam-6024	117	6	)	)	PUNCT
ejpam-6024	117	7	,	,	PUNCT
ejpam-6024	117	8	this	this	DET
ejpam-6024	117	9	estimator	estimator	NOUN
ejpam-6024	117	10	is	be	AUX
ejpam-6024	117	11	asymptotically	asymptotically	ADV
ejpam-6024	117	12	normal	normal	ADJ
ejpam-6024	117	13	.	.	PUNCT
ejpam-6024	118	1	•	•	NUM
ejpam-6024	118	2	when	when	SCONJ
ejpam-6024	118	3	1/2	1/2	NUM
ejpam-6024	118	4	<	<	X
ejpam-6024	118	5	γ	γ	X
ejpam-6024	118	6	<	<	X
ejpam-6024	118	7	1	1	NUM
ejpam-6024	118	8	(	(	PUNCT
ejpam-6024	118	9	the	the	DET
ejpam-6024	118	10	upper	upper	ADJ
ejpam-6024	118	11	half	half	NOUN
ejpam-6024	118	12	of	of	ADP
ejpam-6024	118	13	the	the	DET
ejpam-6024	118	14	unit	unit	NOUN
ejpam-6024	118	15	interval	interval	NOUN
ejpam-6024	118	16	)	)	PUNCT
ejpam-6024	118	17	,	,	PUNCT
ejpam-6024	118	18	then	then	ADV
ejpam-6024	118	19	the	the	DET
ejpam-6024	118	20	second	second	ADJ
ejpam-6024	118	21	moment	moment	NOUN
ejpam-6024	118	22	is	be	AUX
ejpam-6024	118	23	infinite	infinite	ADJ
ejpam-6024	118	24	,	,	PUNCT
ejpam-6024	118	25	and	and	CCONJ
ejpam-6024	118	26	so	so	ADV
ejpam-6024	118	27	the	the	DET
ejpam-6024	118	28	asymptotic	asymptotic	ADJ
ejpam-6024	118	29	normality	normality	NOUN
ejpam-6024	118	30	of	of	ADP
ejpam-6024	118	31	the	the	DET
ejpam-6024	118	32	nonparametric	nonparametric	NOUN
ejpam-6024	118	33	estimator	estimator	NOUN
ejpam-6024	118	34	of	of	ADP
ejpam-6024	118	35	πgβ	πgβ	PROPN
ejpam-6024	118	36	(	(	PUNCT
ejpam-6024	118	37	r	r	NOUN
ejpam-6024	118	38	)	)	PUNCT
ejpam-6024	118	39	.	.	PUNCT
ejpam-6024	119	1	is	be	AUX
ejpam-6024	119	2	violated	violate	VERB
ejpam-6024	119	3	.	.	PUNCT
ejpam-6024	120	1	the	the	DET
ejpam-6024	120	2	last	last	ADJ
ejpam-6024	120	3	situation	situation	NOUN
ejpam-6024	120	4	motivate	motivate	VERB
ejpam-6024	120	5	the	the	DET
ejpam-6024	120	6	need	need	NOUN
ejpam-6024	120	7	of	of	ADP
ejpam-6024	120	8	a	a	DET
ejpam-6024	120	9	specific	specific	ADJ
ejpam-6024	120	10	estimator	estimator	NOUN
ejpam-6024	120	11	of	of	ADP
ejpam-6024	120	12	the	the	DET
ejpam-6024	120	13	reinsurance	reinsurance	NOUN
ejpam-6024	120	14	distorted	distort	VERB
ejpam-6024	120	15	risk	risk	NOUN
ejpam-6024	120	16	premiums	premium	NOUN
ejpam-6024	120	17	for	for	ADP
ejpam-6024	120	18	dependence	dependence	NOUN
ejpam-6024	120	19	insured	insure	VERB
ejpam-6024	120	20	loses	lose	VERB
ejpam-6024	120	21	with	with	ADP
ejpam-6024	120	22	heavy	heavy	ADJ
ejpam-6024	120	23	-	-	PUNCT
ejpam-6024	120	24	tailed	tail	VERB
ejpam-6024	120	25	distributions	distribution	NOUN
ejpam-6024	120	26	and	and	CCONJ
ejpam-6024	120	27	infinite	infinite	VERB
ejpam-6024	120	28	second	second	ADJ
ejpam-6024	120	29	moments	moment	NOUN
ejpam-6024	120	30	,	,	PUNCT
ejpam-6024	120	31	that	that	PRON
ejpam-6024	120	32	is	be	AUX
ejpam-6024	120	33	with	with	ADP
ejpam-6024	120	34	index	index	NOUN
ejpam-6024	120	35	in	in	ADP
ejpam-6024	120	36	he	he	PRON
ejpam-6024	120	37	upper	upper	ADJ
ejpam-6024	120	38	half	half	NOUN
ejpam-6024	120	39	of	of	ADP
ejpam-6024	120	40	the	the	DET
ejpam-6024	120	41	unit	unit	NOUN
ejpam-6024	120	42	interval	interval	NOUN
ejpam-6024	120	43	(	(	PUNCT
ejpam-6024	120	44	1/2	1/2	NUM
ejpam-6024	120	45	<	<	X
ejpam-6024	120	46	γ	γ	X
ejpam-6024	120	47	<	<	X
ejpam-6024	120	48	1	1	NUM
ejpam-6024	120	49	)	)	PUNCT
ejpam-6024	120	50	.	.	PUNCT
ejpam-6024	121	1	by	by	ADP
ejpam-6024	121	2	making	make	VERB
ejpam-6024	121	3	use	use	VERB
ejpam-6024	121	4	the	the	DET
ejpam-6024	121	5	extreme	extreme	ADJ
ejpam-6024	121	6	value	value	NOUN
ejpam-6024	121	7	theory	theory	NOUN
ejpam-6024	121	8	which	which	PRON
ejpam-6024	121	9	offers	offer	VERB
ejpam-6024	121	10	satisfactory	satisfactory	ADJ
ejpam-6024	121	11	statistical	statistical	ADJ
ejpam-6024	121	12	results	result	NOUN
ejpam-6024	121	13	for	for	ADP
ejpam-6024	121	14	such	such	ADJ
ejpam-6024	121	15	distributions	distribution	NOUN
ejpam-6024	121	16	,	,	PUNCT
ejpam-6024	121	17	we	we	PRON
ejpam-6024	121	18	need	need	VERB
ejpam-6024	121	19	to	to	PART
ejpam-6024	121	20	estimate	estimate	VERB
ejpam-6024	121	21	the	the	DET
ejpam-6024	121	22	tail	tail	NOUN
ejpam-6024	121	23	index	index	NOUN
ejpam-6024	121	24	γ	γ	NOUN
ejpam-6024	121	25	and	and	CCONJ
ejpam-6024	121	26	establish	establish	VERB
ejpam-6024	121	27	a	a	DET
ejpam-6024	121	28	class	class	NOUN
ejpam-6024	121	29	of	of	ADP
ejpam-6024	121	30	semiparametric	semiparametric	NOUN
ejpam-6024	121	31	estimators	estimator	NOUN
ejpam-6024	121	32	of	of	ADP
ejpam-6024	121	33	the	the	DET
ejpam-6024	121	34	distorted	distorted	ADJ
ejpam-6024	121	35	risk	risk	NOUN
ejpam-6024	121	36	premium	premium	NOUN
ejpam-6024	121	37	pg(r	pg(r	PUNCT
ejpam-6024	121	38	)	)	PUNCT
ejpam-6024	121	39	in	in	ADP
ejpam-6024	121	40	the	the	DET
ejpam-6024	121	41	case	case	NOUN
ejpam-6024	121	42	of	of	ADP
ejpam-6024	121	43	dependence	dependence	NOUN
ejpam-6024	121	44	insured	insure	VERB
ejpam-6024	121	45	risks	risk	NOUN
ejpam-6024	121	46	.	.	PUNCT
ejpam-6024	122	1	the	the	DET
ejpam-6024	122	2	most	most	ADV
ejpam-6024	122	3	popular	popular	ADJ
ejpam-6024	122	4	positive	positive	ADJ
ejpam-6024	122	5	tail	tail	NOUN
ejpam-6024	122	6	index	index	NOUN
ejpam-6024	122	7	estimators	estimator	NOUN
ejpam-6024	122	8	in	in	ADP
ejpam-6024	122	9	the	the	DET
ejpam-6024	122	10	framework	framework	NOUN
ejpam-6024	122	11	of	of	ADP
ejpam-6024	122	12	extreme	extreme	ADJ
ejpam-6024	122	13	value	value	NOUN
ejpam-6024	122	14	theory	theory	NOUN
ejpam-6024	122	15	is	be	AUX
ejpam-6024	122	16	the	the	DET
ejpam-6024	122	17	original	original	ADJ
ejpam-6024	122	18	hill	hill	NOUN
ejpam-6024	122	19	’s	’s	PART
ejpam-6024	122	20	estimator	estimator	NOUN
ejpam-6024	123	1	[	[	X
ejpam-6024	123	2	29	29	NUM
ejpam-6024	123	3	]	]	PUNCT
ejpam-6024	123	4	,	,	PUNCT
ejpam-6024	123	5	defined	define	VERB
ejpam-6024	123	6	as	as	ADP
ejpam-6024	123	7	:	:	PUNCT
ejpam-6024	123	8	γ̂	γ̂	NUM
ejpam-6024	123	9	(	(	PUNCT
ejpam-6024	123	10	h	h	NOUN
ejpam-6024	123	11	)	)	PUNCT
ejpam-6024	123	12	k	k	NOUN
ejpam-6024	123	13	:	:	PUNCT
ejpam-6024	123	14	=	=	SYM
ejpam-6024	123	15	1	1	NUM
ejpam-6024	123	16	k	k	PROPN
ejpam-6024	123	17	k∑	k∑	PROPN
ejpam-6024	123	18	i=1	i=1	PROPN
ejpam-6024	123	19	logxn−i+1,n	logxn−i+1,n	PROPN
ejpam-6024	123	20	−	−	PROPN
ejpam-6024	123	21	logxn−k	logxn−k	PROPN
ejpam-6024	123	22	,	,	PUNCT
ejpam-6024	123	23	n	n	CCONJ
ejpam-6024	123	24	,	,	PUNCT
ejpam-6024	123	25	(	(	PUNCT
ejpam-6024	123	26	9	9	NUM
ejpam-6024	123	27	)	)	PUNCT
ejpam-6024	123	28	where	where	SCONJ
ejpam-6024	123	29	x1,n	x1,n	PROPN
ejpam-6024	123	30	≤	≤	X
ejpam-6024	123	31	·	·	PUNCT
ejpam-6024	123	32	·	·	PUNCT
ejpam-6024	123	33	·	·	PUNCT
ejpam-6024	124	1	≤	≤	NUM
ejpam-6024	124	2	xn	xn	PUNCT
ejpam-6024	124	3	,	,	PUNCT
ejpam-6024	124	4	n	n	PRON
ejpam-6024	124	5	stands	stand	VERB
ejpam-6024	124	6	for	for	ADP
ejpam-6024	124	7	the	the	DET
ejpam-6024	124	8	order	order	NOUN
ejpam-6024	124	9	statistics	statistic	NOUN
ejpam-6024	124	10	and	and	CCONJ
ejpam-6024	124	11	k	k	NOUN
ejpam-6024	124	12	=	=	SYM
ejpam-6024	124	13	k(n	k(n	X
ejpam-6024	124	14	)	)	PUNCT
ejpam-6024	124	15	represents	represent	VERB
ejpam-6024	124	16	an	an	DET
ejpam-6024	124	17	intermediate	intermediate	ADJ
ejpam-6024	124	18	sequence	sequence	NOUN
ejpam-6024	124	19	,	,	PUNCT
ejpam-6024	124	20	that	that	ADV
ejpam-6024	124	21	is	is	ADV
ejpam-6024	124	22	,	,	PUNCT
ejpam-6024	124	23	a	a	DET
ejpam-6024	124	24	sequence	sequence	NOUN
ejpam-6024	124	25	such	such	ADJ
ejpam-6024	124	26	that	that	SCONJ
ejpam-6024	124	27	k	k	PROPN
ejpam-6024	124	28	→	→	SYM
ejpam-6024	124	29	∞	∞	PROPN
ejpam-6024	124	30	and	and	CCONJ
ejpam-6024	124	31	k	k	NOUN
ejpam-6024	124	32	/	/	SYM
ejpam-6024	124	33	n	n	PROPN
ejpam-6024	124	34	→	→	SYM
ejpam-6024	124	35	0	0	NUM
ejpam-6024	124	36	,	,	PUNCT
ejpam-6024	124	37	as	as	ADP
ejpam-6024	124	38	n	n	PROPN
ejpam-6024	124	39	→	→	SYM
ejpam-6024	124	40	∞.	∞.	PROPN
ejpam-6024	124	41	using	use	VERB
ejpam-6024	124	42	the	the	DET
ejpam-6024	124	43	tail	tail	NOUN
ejpam-6024	124	44	quantile	quantile	ADJ
ejpam-6024	124	45	function	function	NOUN
ejpam-6024	124	46	xn−[kt],n	xn−[kt],n	PROPN
ejpam-6024	124	47	,	,	PUNCT
ejpam-6024	124	48	0	0	PUNCT
ejpam-6024	124	49	<	<	X
ejpam-6024	124	50	t	t	X
ejpam-6024	124	51	<	<	X
ejpam-6024	124	52	n	n	CCONJ
ejpam-6024	124	53	/	/	SYM
ejpam-6024	124	54	k	k	NOUN
ejpam-6024	124	55	,	,	PUNCT
ejpam-6024	124	56	[	[	X
ejpam-6024	124	57	19	19	NUM
ejpam-6024	124	58	]	]	PUNCT
ejpam-6024	124	59	proposed	propose	VERB
ejpam-6024	124	60	the	the	DET
ejpam-6024	124	61	following	follow	VERB
ejpam-6024	124	62	kerneltype	kerneltype	NOUN
ejpam-6024	124	63	estimator	estimator	NOUN
ejpam-6024	124	64	of	of	ADP
ejpam-6024	124	65	the	the	DET
ejpam-6024	124	66	tail	tail	NOUN
ejpam-6024	124	67	index	index	NOUN
ejpam-6024	124	68	γ	γ	X
ejpam-6024	124	69	under	under	ADP
ejpam-6024	124	70	β	β	ADJ
ejpam-6024	124	71	-	-	ADJ
ejpam-6024	124	72	mixing	mix	VERB
ejpam-6024	124	73	series	series	NOUN
ejpam-6024	124	74	:	:	PUNCT
ejpam-6024	124	75	γ̂	γ̂	PROPN
ejpam-6024	124	76	(	(	PUNCT
ejpam-6024	124	77	k	k	X
ejpam-6024	124	78	)	)	PUNCT
ejpam-6024	124	79	k	k	NOUN
ejpam-6024	125	1	=	=	PUNCT
ejpam-6024	125	2	∫	∫	PROPN
ejpam-6024	125	3	1	1	NUM
ejpam-6024	125	4	0	0	NUM
ejpam-6024	126	1	(	(	PUNCT
ejpam-6024	126	2	logxn−[kt],n	logxn−[kt],n	PROPN
ejpam-6024	126	3	−	−	PROPN
ejpam-6024	126	4	logxn−k	logxn−k	PROPN
ejpam-6024	126	5	,	,	PUNCT
ejpam-6024	126	6	n	n	CCONJ
ejpam-6024	126	7	)	)	PUNCT
ejpam-6024	126	8	d(tk(t	d(tk(t	PROPN
ejpam-6024	126	9	)	)	PUNCT
ejpam-6024	126	10	)	)	PUNCT
ejpam-6024	126	11	,	,	PUNCT
ejpam-6024	126	12	(	(	PUNCT
ejpam-6024	126	13	10	10	NUM
ejpam-6024	126	14	)	)	PUNCT
ejpam-6024	126	15	where	where	SCONJ
ejpam-6024	126	16	k	k	PROPN
ejpam-6024	126	17	is	be	AUX
ejpam-6024	126	18	a	a	DET
ejpam-6024	126	19	kernel	kernel	NOUN
ejpam-6024	126	20	function	function	NOUN
ejpam-6024	126	21	integrated	integrate	VERB
ejpam-6024	126	22	to	to	ADP
ejpam-6024	126	23	one	one	NUM
ejpam-6024	126	24	.	.	PUNCT
ejpam-6024	127	1	note	note	VERB
ejpam-6024	127	2	that	that	SCONJ
ejpam-6024	127	3	in	in	ADP
ejpam-6024	127	4	the	the	DET
ejpam-6024	127	5	particular	particular	ADJ
ejpam-6024	127	6	case	case	NOUN
ejpam-6024	127	7	where	where	SCONJ
ejpam-6024	127	8	k	k	PROPN
ejpam-6024	127	9	=	=	PUNCT
ejpam-6024	127	10	k	k	PROPN
ejpam-6024	127	11	:	:	PUNCT
ejpam-6024	127	12	=	=	SYM
ejpam-6024	127	13	i(0,1	i(0,1	NUM
ejpam-6024	127	14	)	)	PUNCT
ejpam-6024	127	15	,	,	PUNCT
ejpam-6024	128	1	the	the	DET
ejpam-6024	128	2	estimator	estimator	NOUN
ejpam-6024	128	3	γ̂	γ̂	PUNCT
ejpam-6024	129	1	k	k	PROPN
ejpam-6024	129	2	k	k	PROPN
ejpam-6024	129	3	corresponds	correspond	VERB
ejpam-6024	129	4	to	to	ADP
ejpam-6024	129	5	the	the	DET
ejpam-6024	129	6	well	well	ADV
ejpam-6024	129	7	-	-	PUNCT
ejpam-6024	129	8	known	know	VERB
ejpam-6024	129	9	hill	hill	NOUN
ejpam-6024	129	10	’s	’s	PART
ejpam-6024	129	11	estimator	estimator	NOUN
ejpam-6024	129	12	(	(	PUNCT
ejpam-6024	129	13	9	9	NUM
ejpam-6024	129	14	)	)	PUNCT
ejpam-6024	129	15	of	of	ADP
ejpam-6024	129	16	a.	a.	NOUN
ejpam-6024	129	17	aghrabatt	aghrabatt	PROPN
ejpam-6024	129	18	et	et	PROPN
ejpam-6024	129	19	al	al	PROPN
ejpam-6024	129	20	.	.	PUNCT
ejpam-6024	129	21	/	/	SYM
ejpam-6024	129	22	eur	eur	PROPN
ejpam-6024	129	23	.	.	PUNCT
ejpam-6024	130	1	j.	j.	PROPN
ejpam-6024	130	2	pure	pure	PROPN
ejpam-6024	130	3	appl	appl	PROPN
ejpam-6024	130	4	.	.	PROPN
ejpam-6024	130	5	math	math	PROPN
ejpam-6024	130	6	,	,	PUNCT
ejpam-6024	130	7	18	18	NUM
ejpam-6024	130	8	(	(	PUNCT
ejpam-6024	130	9	2	2	NUM
ejpam-6024	130	10	)	)	PUNCT
ejpam-6024	130	11	(	(	PUNCT
ejpam-6024	130	12	2025	2025	NUM
ejpam-6024	130	13	)	)	PUNCT
ejpam-6024	130	14	,	,	PUNCT
ejpam-6024	130	15	6024	6024	NUM
ejpam-6024	130	16	7	7	NUM
ejpam-6024	130	17	of	of	ADP
ejpam-6024	130	18	25	25	NUM
ejpam-6024	130	19	positive	positive	ADJ
ejpam-6024	130	20	tail	tail	NOUN
ejpam-6024	130	21	index	index	NOUN
ejpam-6024	130	22	γ	γ	PROPN
ejpam-6024	130	23	.	.	PROPN
ejpam-6024	131	1	also	also	ADV
ejpam-6024	131	2	,	,	PUNCT
ejpam-6024	131	3	it	it	PRON
ejpam-6024	131	4	is	be	AUX
ejpam-6024	131	5	easy	easy	ADJ
ejpam-6024	131	6	to	to	PART
ejpam-6024	131	7	see	see	VERB
ejpam-6024	131	8	that	that	SCONJ
ejpam-6024	131	9	the	the	DET
ejpam-6024	131	10	kernel	kernel	PROPN
ejpam-6024	131	11	estimator	estimator	NOUN
ejpam-6024	131	12	γ̂	γ̂	PROPN
ejpam-6024	131	13	(	(	PUNCT
ejpam-6024	131	14	k	k	X
ejpam-6024	131	15	)	)	PUNCT
ejpam-6024	131	16	k	k	NOUN
ejpam-6024	131	17	can	can	AUX
ejpam-6024	131	18	be	be	AUX
ejpam-6024	131	19	rewritten	rewrite	VERB
ejpam-6024	131	20	as	as	SCONJ
ejpam-6024	131	21	follows	follow	VERB
ejpam-6024	131	22	:	:	PUNCT
ejpam-6024	131	23	γ̂	γ̂	NUM
ejpam-6024	131	24	(	(	PUNCT
ejpam-6024	131	25	k	k	X
ejpam-6024	131	26	)	)	PUNCT
ejpam-6024	131	27	k	k	NOUN
ejpam-6024	132	1	:	:	PUNCT
ejpam-6024	132	2	=	=	SYM
ejpam-6024	132	3	1	1	NUM
ejpam-6024	132	4	k	k	NOUN
ejpam-6024	132	5	k∑	k∑	PROPN
ejpam-6024	133	1	i=1	i=1	PROPN
ejpam-6024	133	2	{	{	PUNCT
ejpam-6024	134	1	i	i	PRON
ejpam-6024	134	2	k	k	PROPN
ejpam-6024	135	1	k	k	PROPN
ejpam-6024	135	2	(	(	PUNCT
ejpam-6024	135	3	i	i	NOUN
ejpam-6024	135	4	k	k	PROPN
ejpam-6024	135	5	)	)	PUNCT
ejpam-6024	136	1	−	−	PROPN
ejpam-6024	136	2	i−	i−	PROPN
ejpam-6024	136	3	1	1	NUM
ejpam-6024	137	1	k	k	PROPN
ejpam-6024	137	2	k	k	X
ejpam-6024	137	3	(	(	PUNCT
ejpam-6024	137	4	i−	i−	PROPN
ejpam-6024	137	5	1	1	NUM
ejpam-6024	137	6	k	k	NOUN
ejpam-6024	137	7	)	)	PUNCT
ejpam-6024	137	8	}	}	PUNCT
ejpam-6024	137	9	(	(	PUNCT
ejpam-6024	137	10	logxn−i+1,n	logxn−i+1,n	NOUN
ejpam-6024	137	11	−	−	PROPN
ejpam-6024	137	12	logxn−k	logxn−k	PROPN
ejpam-6024	137	13	,	,	PUNCT
ejpam-6024	137	14	n	n	CCONJ
ejpam-6024	137	15	)	)	PUNCT
ejpam-6024	137	16	.	.	PUNCT
ejpam-6024	138	1	2.2	2.2	NUM
ejpam-6024	138	2	.	.	PUNCT
ejpam-6024	138	3	estimation	estimation	NOUN
ejpam-6024	138	4	of	of	ADP
ejpam-6024	138	5	distortion	distortion	NOUN
ejpam-6024	138	6	risk	risk	NOUN
ejpam-6024	138	7	under	under	ADP
ejpam-6024	138	8	depedence	depedence	NOUN
ejpam-6024	138	9	serials	serial	NOUN
ejpam-6024	138	10	to	to	PART
ejpam-6024	138	11	better	well	ADV
ejpam-6024	138	12	understand	understand	VERB
ejpam-6024	138	13	the	the	DET
ejpam-6024	138	14	heavier	heavy	ADJ
ejpam-6024	138	15	of	of	ADP
ejpam-6024	138	16	tail	tail	NOUN
ejpam-6024	138	17	distribution	distribution	NOUN
ejpam-6024	138	18	of	of	ADP
ejpam-6024	138	19	insured	insured	ADJ
ejpam-6024	138	20	risks	risk	NOUN
ejpam-6024	138	21	,	,	PUNCT
ejpam-6024	138	22	which	which	PRON
ejpam-6024	138	23	is	be	AUX
ejpam-6024	138	24	governed	govern	VERB
ejpam-6024	138	25	by	by	ADP
ejpam-6024	138	26	the	the	DET
ejpam-6024	138	27	unknown	unknown	ADJ
ejpam-6024	138	28	tail	tail	NOUN
ejpam-6024	138	29	index	index	NOUN
ejpam-6024	138	30	,	,	PUNCT
ejpam-6024	138	31	many	many	ADJ
ejpam-6024	138	32	authors	author	NOUN
ejpam-6024	138	33	used	use	VERB
ejpam-6024	138	34	the	the	DET
ejpam-6024	138	35	extreme	extreme	ADJ
ejpam-6024	138	36	value	value	NOUN
ejpam-6024	138	37	methodology	methodology	NOUN
ejpam-6024	138	38	and	and	CCONJ
ejpam-6024	138	39	investigated	investigate	VERB
ejpam-6024	138	40	semiparametric	semiparametric	NOUN
ejpam-6024	138	41	estimators	estimator	NOUN
ejpam-6024	138	42	of	of	ADP
ejpam-6024	138	43	the	the	DET
ejpam-6024	138	44	distortion	distortion	NOUN
ejpam-6024	138	45	risk	risk	NOUN
ejpam-6024	138	46	premiums	premium	NOUN
ejpam-6024	138	47	in	in	ADP
ejpam-6024	138	48	the	the	DET
ejpam-6024	138	49	case	case	NOUN
ejpam-6024	138	50	of	of	ADP
ejpam-6024	138	51	β	β	NOUN
ejpam-6024	138	52	-	-	ADJ
ejpam-6024	138	53	mixing	mix	VERB
ejpam-6024	138	54	random	random	ADJ
ejpam-6024	138	55	variables	variable	NOUN
ejpam-6024	138	56	,	,	PUNCT
ejpam-6024	138	57	we	we	PRON
ejpam-6024	138	58	use	use	VERB
ejpam-6024	138	59	the	the	DET
ejpam-6024	138	60	class	class	NOUN
ejpam-6024	138	61	of	of	ADP
ejpam-6024	138	62	kernel	kernel	PROPN
ejpam-6024	138	63	estimator	estimator	NOUN
ejpam-6024	138	64	defined	define	VERB
ejpam-6024	138	65	in	in	ADP
ejpam-6024	138	66	(	(	PUNCT
ejpam-6024	138	67	11	11	NUM
ejpam-6024	138	68	)	)	PUNCT
ejpam-6024	138	69	and	and	CCONJ
ejpam-6024	138	70	investigate	investigate	VERB
ejpam-6024	138	71	semiparametric	semiparametric	NOUN
ejpam-6024	138	72	estimators	estimator	NOUN
ejpam-6024	138	73	of	of	ADP
ejpam-6024	138	74	the	the	DET
ejpam-6024	138	75	distortion	distortion	NOUN
ejpam-6024	138	76	risk	risk	NOUN
ejpam-6024	138	77	premiums	premium	NOUN
ejpam-6024	138	78	with	with	ADP
ejpam-6024	138	79	optimal	optimal	ADJ
ejpam-6024	138	80	retention	retention	NOUN
ejpam-6024	138	81	levels	level	NOUN
ejpam-6024	138	82	.	.	PUNCT
ejpam-6024	139	1	note	note	VERB
ejpam-6024	139	2	that	that	SCONJ
ejpam-6024	139	3	,	,	PUNCT
ejpam-6024	139	4	the	the	DET
ejpam-6024	139	5	optimal	optimal	ADJ
ejpam-6024	139	6	retention	retention	NOUN
ejpam-6024	139	7	level	level	NOUN
ejpam-6024	139	8	corresponds	correspond	VERB
ejpam-6024	139	9	to	to	ADP
ejpam-6024	139	10	the	the	DET
ejpam-6024	139	11	value	value	NOUN
ejpam-6024	139	12	-	-	PUNCT
ejpam-6024	139	13	at	at	ADP
ejpam-6024	139	14	-	-	PUNCT
ejpam-6024	139	15	risk	risk	NOUN
ejpam-6024	139	16	q(1−k	q(1−k	NOUN
ejpam-6024	139	17	/	/	SYM
ejpam-6024	139	18	n	n	CCONJ
ejpam-6024	139	19	)	)	PUNCT
ejpam-6024	139	20	,	,	PUNCT
ejpam-6024	139	21	which	which	PRON
ejpam-6024	139	22	is	be	AUX
ejpam-6024	139	23	the	the	DET
ejpam-6024	139	24	minimum	minimum	ADJ
ejpam-6024	139	25	amount	amount	NOUN
ejpam-6024	139	26	that	that	PRON
ejpam-6024	139	27	a	a	DET
ejpam-6024	139	28	company	company	NOUN
ejpam-6024	139	29	must	must	AUX
ejpam-6024	139	30	have	have	VERB
ejpam-6024	139	31	to	to	PART
ejpam-6024	139	32	cover	cover	VERB
ejpam-6024	139	33	the	the	DET
ejpam-6024	139	34	risk	risk	NOUN
ejpam-6024	139	35	x	x	PUNCT
ejpam-6024	139	36	with	with	ADP
ejpam-6024	139	37	an	an	DET
ejpam-6024	139	38	uncertain	uncertain	ADJ
ejpam-6024	139	39	ruin	ruin	NOUN
ejpam-6024	139	40	probability	probability	NOUN
ejpam-6024	139	41	.	.	PUNCT
ejpam-6024	140	1	since	since	SCONJ
ejpam-6024	140	2	f	f	PROPN
ejpam-6024	140	3	(	(	PUNCT
ejpam-6024	140	4	q(1	q(1	PROPN
ejpam-6024	140	5	−	−	PROPN
ejpam-6024	140	6	k	k	NOUN
ejpam-6024	140	7	/	/	SYM
ejpam-6024	140	8	n	n	CCONJ
ejpam-6024	140	9	)	)	PUNCT
ejpam-6024	140	10	)	)	PUNCT
ejpam-6024	141	1	=	=	PUNCT
ejpam-6024	142	1	k	k	X
ejpam-6024	142	2	/	/	SYM
ejpam-6024	142	3	n	n	CCONJ
ejpam-6024	142	4	,	,	PUNCT
ejpam-6024	142	5	from	from	ADP
ejpam-6024	142	6	(	(	PUNCT
ejpam-6024	142	7	4	4	NUM
ejpam-6024	142	8	)	)	PUNCT
ejpam-6024	142	9	,	,	PUNCT
ejpam-6024	142	10	the	the	DET
ejpam-6024	142	11	optimal	optimal	ADJ
ejpam-6024	142	12	risk	risk	NOUN
ejpam-6024	142	13	distorted	distort	VERB
ejpam-6024	142	14	reinsurance	reinsurance	NOUN
ejpam-6024	142	15	premiums	premium	NOUN
ejpam-6024	142	16	is	be	AUX
ejpam-6024	142	17	defined	define	VERB
ejpam-6024	142	18	as	as	ADP
ejpam-6024	142	19	:	:	PUNCT
ejpam-6024	142	20	πβ	πβ	NOUN
ejpam-6024	142	21	,	,	PUNCT
ejpam-6024	142	22	n	n	NOUN
ejpam-6024	142	23	:	:	PUNCT
ejpam-6024	142	24	=	=	PUNCT
ejpam-6024	142	25	πgβ	πgβ	NOUN
ejpam-6024	142	26	(	(	PUNCT
ejpam-6024	142	27	q(1−	q(1−	NUM
ejpam-6024	142	28	k	k	NOUN
ejpam-6024	142	29	/	/	SYM
ejpam-6024	142	30	n	n	CCONJ
ejpam-6024	142	31	)	)	PUNCT
ejpam-6024	142	32	)	)	PUNCT
ejpam-6024	143	1	=	=	PUNCT
ejpam-6024	144	1	−	−	NOUN
ejpam-6024	144	2	∫	∫	INTJ
ejpam-6024	145	1	k	k	X
ejpam-6024	145	2	/	/	SYM
ejpam-6024	145	3	n	n	CCONJ
ejpam-6024	145	4	0	0	NUM
ejpam-6024	145	5	gβ(s)dq(1−	gβ(s)dq(1−	PROPN
ejpam-6024	145	6	s	s	NOUN
ejpam-6024	145	7	)	)	PUNCT
ejpam-6024	145	8	.	.	PUNCT
ejpam-6024	146	1	(	(	PUNCT
ejpam-6024	146	2	11	11	NUM
ejpam-6024	146	3	)	)	PUNCT
ejpam-6024	146	4	the	the	DET
ejpam-6024	146	5	distorted	distorted	ADJ
ejpam-6024	146	6	reinsurance	reinsurance	NOUN
ejpam-6024	146	7	premium	premium	NOUN
ejpam-6024	146	8	πβ	πβ	NOUN
ejpam-6024	146	9	,	,	PUNCT
ejpam-6024	146	10	n	n	X
ejpam-6024	146	11	is	be	AUX
ejpam-6024	146	12	unknown	unknown	ADJ
ejpam-6024	146	13	since	since	SCONJ
ejpam-6024	146	14	it	it	PRON
ejpam-6024	146	15	depends	depend	VERB
ejpam-6024	146	16	on	on	ADP
ejpam-6024	146	17	the	the	DET
ejpam-6024	146	18	unknown	unknown	ADJ
ejpam-6024	146	19	high	high	ADJ
ejpam-6024	146	20	quantile	quantile	ADJ
ejpam-6024	146	21	q(1−s	q(1−s	PROPN
ejpam-6024	146	22	)	)	PUNCT
ejpam-6024	146	23	,	,	PUNCT
ejpam-6024	146	24	s	s	X
ejpam-6024	146	25	→	→	SYM
ejpam-6024	146	26	0	0	NUM
ejpam-6024	146	27	.	.	PUNCT
ejpam-6024	147	1	a	a	DET
ejpam-6024	147	2	weissman	weissman	NOUN
ejpam-6024	147	3	-	-	PUNCT
ejpam-6024	147	4	type	type	NOUN
ejpam-6024	147	5	estimator	estimator	NOUN
ejpam-6024	147	6	[	[	X
ejpam-6024	147	7	21	21	NUM
ejpam-6024	147	8	]	]	PUNCT
ejpam-6024	147	9	of	of	ADP
ejpam-6024	147	10	high	high	ADJ
ejpam-6024	147	11	quantiles	quantile	NOUN
ejpam-6024	147	12	for	for	ADP
ejpam-6024	147	13	heavy	heavy	ADJ
ejpam-6024	147	14	-	-	PUNCT
ejpam-6024	147	15	tailed	tail	VERB
ejpam-6024	147	16	distributions	distribution	NOUN
ejpam-6024	147	17	,	,	PUNCT
ejpam-6024	147	18	based	base	VERB
ejpam-6024	147	19	on	on	ADP
ejpam-6024	147	20	the	the	DET
ejpam-6024	147	21	class	class	NOUN
ejpam-6024	147	22	of	of	ADP
ejpam-6024	147	23	kernel	kernel	NOUN
ejpam-6024	147	24	estimators	estimator	NOUN
ejpam-6024	147	25	in	in	ADP
ejpam-6024	147	26	(	(	PUNCT
ejpam-6024	147	27	10	10	NUM
ejpam-6024	147	28	)	)	PUNCT
ejpam-6024	147	29	,	,	PUNCT
ejpam-6024	147	30	is	be	AUX
ejpam-6024	147	31	defined	define	VERB
ejpam-6024	147	32	as	as	ADP
ejpam-6024	147	33	:	:	PUNCT
ejpam-6024	147	34	q̂	q̂	X
ejpam-6024	147	35	(	(	PUNCT
ejpam-6024	147	36	k	k	X
ejpam-6024	147	37	)	)	PUNCT
ejpam-6024	147	38	k	k	NOUN
ejpam-6024	147	39	(	(	PUNCT
ejpam-6024	147	40	1−	1−	NUM
ejpam-6024	147	41	s	s	NOUN
ejpam-6024	147	42	)	)	PUNCT
ejpam-6024	147	43	=	=	SYM
ejpam-6024	147	44	(	(	PUNCT
ejpam-6024	147	45	ns	ns	PROPN
ejpam-6024	147	46	/	/	SYM
ejpam-6024	147	47	k)−γ̂	k)−γ̂	NOUN
ejpam-6024	147	48	(	(	PUNCT
ejpam-6024	147	49	k	k	NOUN
ejpam-6024	147	50	)	)	PUNCT
ejpam-6024	147	51	k	k	PROPN
ejpam-6024	147	52	xn−k	xn−k	PROPN
ejpam-6024	147	53	,	,	PUNCT
ejpam-6024	147	54	n	n	CCONJ
ejpam-6024	147	55	,	,	PUNCT
ejpam-6024	147	56	s	s	X
ejpam-6024	147	57	→	→	SYM
ejpam-6024	147	58	0	0	NUM
ejpam-6024	147	59	,	,	PUNCT
ejpam-6024	147	60	(	(	PUNCT
ejpam-6024	147	61	12	12	NUM
ejpam-6024	147	62	)	)	PUNCT
ejpam-6024	147	63	where	where	SCONJ
ejpam-6024	147	64	γ̂	γ̂	PUNCT
ejpam-6024	147	65	(	(	PUNCT
ejpam-6024	147	66	k	k	X
ejpam-6024	147	67	)	)	PUNCT
ejpam-6024	147	68	k	k	PROPN
ejpam-6024	147	69	is	be	AUX
ejpam-6024	147	70	the	the	DET
ejpam-6024	147	71	above	above	ADJ
ejpam-6024	147	72	class	class	NOUN
ejpam-6024	147	73	of	of	ADP
ejpam-6024	147	74	kernel	kernel	PROPN
ejpam-6024	147	75	estimator	estimator	NOUN
ejpam-6024	147	76	for	for	ADP
ejpam-6024	147	77	the	the	DET
ejpam-6024	147	78	extreme	extreme	ADJ
ejpam-6024	147	79	value	value	NOUN
ejpam-6024	147	80	index	index	NOUN
ejpam-6024	147	81	γ	γ	NOUN
ejpam-6024	147	82	and	and	CCONJ
ejpam-6024	147	83	the	the	DET
ejpam-6024	147	84	quantity	quantity	NOUN
ejpam-6024	147	85	xn−k	xn−k	PROPN
ejpam-6024	147	86	,	,	PUNCT
ejpam-6024	147	87	n	n	PROPN
ejpam-6024	147	88	is	be	AUX
ejpam-6024	147	89	a	a	DET
ejpam-6024	147	90	moderate	moderate	ADJ
ejpam-6024	147	91	quantile	quantile	NOUN
ejpam-6024	147	92	and	and	CCONJ
ejpam-6024	147	93	assigned	assign	VERB
ejpam-6024	147	94	to	to	PART
ejpam-6024	147	95	be	be	AUX
ejpam-6024	147	96	the	the	DET
ejpam-6024	147	97	empirical	empirical	ADJ
ejpam-6024	147	98	estimator	estimator	NOUN
ejpam-6024	147	99	of	of	ADP
ejpam-6024	147	100	the	the	DET
ejpam-6024	147	101	optimal	optimal	ADJ
ejpam-6024	147	102	retention	retention	NOUN
ejpam-6024	147	103	level	level	NOUN
ejpam-6024	147	104	q(1−	q(1−	NOUN
ejpam-6024	147	105	k	k	NOUN
ejpam-6024	147	106	/	/	SYM
ejpam-6024	147	107	n	n	CCONJ
ejpam-6024	147	108	)	)	PUNCT
ejpam-6024	147	109	.	.	PUNCT
ejpam-6024	148	1	substituting	substitute	VERB
ejpam-6024	148	2	in	in	ADP
ejpam-6024	148	3	(	(	PUNCT
ejpam-6024	148	4	11	11	NUM
ejpam-6024	148	5	)	)	PUNCT
ejpam-6024	148	6	the	the	DET
ejpam-6024	148	7	extreme	extreme	ADJ
ejpam-6024	148	8	quantileq(1−s	quantileq(1−s	PROPN
ejpam-6024	148	9	)	)	PUNCT
ejpam-6024	148	10	,	,	PUNCT
ejpam-6024	148	11	s	s	X
ejpam-6024	148	12	→	→	SYM
ejpam-6024	148	13	0	0	NUM
ejpam-6024	148	14	with	with	ADP
ejpam-6024	148	15	its	its	PRON
ejpam-6024	148	16	weisman	weisman	NOUN
ejpam-6024	148	17	’s	’s	PART
ejpam-6024	148	18	type	type	PROPN
ejpam-6024	148	19	estimator	estimator	NOUN
ejpam-6024	148	20	q	q	PROPN
ejpam-6024	148	21	(	(	PUNCT
ejpam-6024	148	22	k	k	NOUN
ejpam-6024	148	23	)	)	PUNCT
ejpam-6024	148	24	k	k	NOUN
ejpam-6024	148	25	(	(	PUNCT
ejpam-6024	148	26	1−	1−	NUM
ejpam-6024	148	27	s	s	NOUN
ejpam-6024	148	28	)	)	PUNCT
ejpam-6024	148	29	,	,	PUNCT
ejpam-6024	148	30	we	we	PRON
ejpam-6024	148	31	introduce	introduce	VERB
ejpam-6024	148	32	the	the	DET
ejpam-6024	148	33	following	follow	VERB
ejpam-6024	148	34	class	class	NOUN
ejpam-6024	148	35	of	of	ADP
ejpam-6024	148	36	semiparametric	semiparametric	NOUN
ejpam-6024	148	37	estimator	estimator	NOUN
ejpam-6024	148	38	for	for	ADP
ejpam-6024	148	39	πβ	πβ	NOUN
ejpam-6024	148	40	,	,	PUNCT
ejpam-6024	148	41	n	n	CCONJ
ejpam-6024	148	42	:	:	PUNCT
ejpam-6024	148	43	π̂	π̂	NUM
ejpam-6024	148	44	(	(	PUNCT
ejpam-6024	148	45	k	k	X
ejpam-6024	148	46	)	)	PUNCT
ejpam-6024	148	47	β	β	NOUN
ejpam-6024	148	48	,	,	PUNCT
ejpam-6024	148	49	k	k	NOUN
ejpam-6024	148	50	,	,	PUNCT
ejpam-6024	148	51	n	n	NOUN
ejpam-6024	148	52	=	=	SYM
ejpam-6024	149	1	−	−	PROPN
ejpam-6024	149	2	∫	∫	PROPN
ejpam-6024	150	1	k	k	X
ejpam-6024	150	2	/	/	SYM
ejpam-6024	150	3	n	n	PROPN
ejpam-6024	150	4	0	0	NUM
ejpam-6024	150	5	gβ(s)dq̂	gβ(s)dq̂	PROPN
ejpam-6024	150	6	(	(	PUNCT
ejpam-6024	150	7	k	k	NOUN
ejpam-6024	150	8	)	)	PUNCT
ejpam-6024	150	9	k	k	NOUN
ejpam-6024	150	10	(	(	PUNCT
ejpam-6024	150	11	1−	1−	NUM
ejpam-6024	150	12	s	s	NOUN
ejpam-6024	150	13	)	)	PUNCT
ejpam-6024	150	14	,	,	PUNCT
ejpam-6024	150	15	(	(	PUNCT
ejpam-6024	150	16	13	13	NUM
ejpam-6024	150	17	)	)	PUNCT
ejpam-6024	150	18	which	which	PRON
ejpam-6024	150	19	leads	lead	VERB
ejpam-6024	150	20	to	to	ADP
ejpam-6024	150	21	:	:	PUNCT
ejpam-6024	150	22	π̂	π̂	NUM
ejpam-6024	150	23	(	(	PUNCT
ejpam-6024	150	24	k	k	X
ejpam-6024	150	25	)	)	PUNCT
ejpam-6024	150	26	β	β	NOUN
ejpam-6024	150	27	,	,	PUNCT
ejpam-6024	150	28	k	k	NOUN
ejpam-6024	150	29	,	,	PUNCT
ejpam-6024	150	30	n	n	NOUN
ejpam-6024	150	31	=	=	SYM
ejpam-6024	150	32	γ̂	γ̂	X
ejpam-6024	150	33	(	(	PUNCT
ejpam-6024	150	34	k	k	X
ejpam-6024	150	35	)	)	PUNCT
ejpam-6024	150	36	k	k	PROPN
ejpam-6024	151	1	1	1	NUM
ejpam-6024	151	2	/	/	SYM
ejpam-6024	151	3	β	β	NOUN
ejpam-6024	151	4	−	−	NOUN
ejpam-6024	151	5	γ̂	γ̂	PUNCT
ejpam-6024	151	6	(	(	PUNCT
ejpam-6024	151	7	k	k	X
ejpam-6024	151	8	)	)	PUNCT
ejpam-6024	151	9	k	k	NOUN
ejpam-6024	151	10	gβ(k	gβ(k	X
ejpam-6024	151	11	/	/	SYM
ejpam-6024	151	12	n)xn−k	n)xn−k	PROPN
ejpam-6024	151	13	,	,	PUNCT
ejpam-6024	151	14	n	n	CCONJ
ejpam-6024	151	15	,	,	PUNCT
ejpam-6024	151	16	(	(	PUNCT
ejpam-6024	151	17	14	14	NUM
ejpam-6024	151	18	)	)	PUNCT
ejpam-6024	151	19	provided	provide	VERB
ejpam-6024	151	20	that	that	SCONJ
ejpam-6024	151	21	p(γ̂(k	p(γ̂(k	NOUN
ejpam-6024	151	22	)	)	PUNCT
ejpam-6024	151	23	k	k	NOUN
ejpam-6024	151	24	>	>	X
ejpam-6024	151	25	1	1	NUM
ejpam-6024	151	26	/	/	SYM
ejpam-6024	151	27	β	β	NOUN
ejpam-6024	151	28	)	)	PUNCT
ejpam-6024	151	29	=	=	SYM
ejpam-6024	151	30	o(1	o(1	NOUN
ejpam-6024	151	31	)	)	PUNCT
ejpam-6024	151	32	,	,	PUNCT
ejpam-6024	151	33	for	for	ADP
ejpam-6024	151	34	large	large	ADJ
ejpam-6024	151	35	values	value	NOUN
ejpam-6024	151	36	of	of	ADP
ejpam-6024	151	37	n.	n.	NOUN
ejpam-6024	151	38	in	in	ADP
ejpam-6024	151	39	the	the	DET
ejpam-6024	151	40	particular	particular	ADJ
ejpam-6024	151	41	case	case	NOUN
ejpam-6024	151	42	where	where	SCONJ
ejpam-6024	151	43	k	k	PROPN
ejpam-6024	151	44	=	=	PUNCT
ejpam-6024	151	45	k	k	PROPN
ejpam-6024	151	46	:	:	PUNCT
ejpam-6024	151	47	=	=	SYM
ejpam-6024	151	48	i(0,1	i(0,1	NUM
ejpam-6024	151	49	)	)	PUNCT
ejpam-6024	151	50	,	,	PUNCT
ejpam-6024	151	51	π̂	π̂	PUNCT
ejpam-6024	151	52	(	(	PUNCT
ejpam-6024	151	53	k	k	X
ejpam-6024	151	54	)	)	PUNCT
ejpam-6024	151	55	β	β	NOUN
ejpam-6024	151	56	,	,	PUNCT
ejpam-6024	151	57	k	k	NOUN
ejpam-6024	151	58	,	,	PUNCT
ejpam-6024	151	59	n	n	PRON
ejpam-6024	151	60	corresponds	correspond	VERB
ejpam-6024	151	61	exactly	exactly	ADV
ejpam-6024	151	62	to	to	ADP
ejpam-6024	151	63	the	the	DET
ejpam-6024	151	64	distortion	distortion	NOUN
ejpam-6024	151	65	risk	risk	NOUN
ejpam-6024	151	66	premiums	premium	NOUN
ejpam-6024	151	67	estimator	estimator	NOUN
ejpam-6024	151	68	introduced	introduce	VERB
ejpam-6024	151	69	in	in	ADP
ejpam-6024	151	70	[	[	X
ejpam-6024	151	71	17	17	NUM
ejpam-6024	151	72	]	]	PUNCT
ejpam-6024	151	73	under	under	ADP
ejpam-6024	151	74	dependence	dependence	NOUN
ejpam-6024	151	75	serials	serial	NOUN
ejpam-6024	151	76	.	.	PUNCT
ejpam-6024	152	1	from	from	ADP
ejpam-6024	152	2	the	the	DET
ejpam-6024	152	3	second	second	ADJ
ejpam-6024	152	4	order	order	NOUN
ejpam-6024	152	5	regularly	regularly	ADV
ejpam-6024	152	6	varying	vary	VERB
ejpam-6024	152	7	condition	condition	NOUN
ejpam-6024	152	8	(	(	PUNCT
ejpam-6024	152	9	cso	cso	PROPN
ejpam-6024	152	10	)	)	PUNCT
ejpam-6024	152	11	and	and	CCONJ
ejpam-6024	152	12	the	the	DET
ejpam-6024	152	13	regularity	regularity	NOUN
ejpam-6024	152	14	conditions	condition	NOUN
ejpam-6024	152	15	on	on	ADP
ejpam-6024	152	16	the	the	DET
ejpam-6024	152	17	β	β	NOUN
ejpam-6024	152	18	-	-	ADJ
ejpam-6024	152	19	mixing	mix	VERB
ejpam-6024	152	20	coefficients	coefficient	NOUN
ejpam-6024	152	21	(	(	PUNCT
ejpam-6024	152	22	cr	cr	NOUN
ejpam-6024	152	23	)	)	PUNCT
ejpam-6024	152	24	,	,	PUNCT
ejpam-6024	153	1	[	[	X
ejpam-6024	153	2	17	17	NUM
ejpam-6024	153	3	]	]	PUNCT
ejpam-6024	153	4	established	establish	VERB
ejpam-6024	153	5	,	,	PUNCT
ejpam-6024	153	6	the	the	DET
ejpam-6024	153	7	asymptotic	asymptotic	ADJ
ejpam-6024	153	8	normality	normality	NOUN
ejpam-6024	153	9	of	of	ADP
ejpam-6024	153	10	the	the	DET
ejpam-6024	153	11	estimator	estimator	NOUN
ejpam-6024	153	12	π̂	π̂	NUM
ejpam-6024	153	13	(	(	PUNCT
ejpam-6024	153	14	k	k	NOUN
ejpam-6024	153	15	)	)	PUNCT
ejpam-6024	153	16	β	β	NOUN
ejpam-6024	153	17	,	,	PUNCT
ejpam-6024	153	18	k	k	PROPN
ejpam-6024	153	19	,	,	PUNCT
ejpam-6024	153	20	n.	n.	NOUN
ejpam-6024	153	21	a.	a.	NOUN
ejpam-6024	153	22	aghrabatt	aghrabatt	PROPN
ejpam-6024	153	23	et	et	PROPN
ejpam-6024	153	24	al	al	PROPN
ejpam-6024	153	25	.	.	PUNCT
ejpam-6024	153	26	/	/	SYM
ejpam-6024	153	27	eur	eur	PROPN
ejpam-6024	153	28	.	.	PUNCT
ejpam-6024	154	1	j.	j.	PROPN
ejpam-6024	154	2	pure	pure	PROPN
ejpam-6024	154	3	appl	appl	PROPN
ejpam-6024	154	4	.	.	PROPN
ejpam-6024	154	5	math	math	PROPN
ejpam-6024	154	6	,	,	PUNCT
ejpam-6024	154	7	18	18	NUM
ejpam-6024	154	8	(	(	PUNCT
ejpam-6024	154	9	2	2	NUM
ejpam-6024	154	10	)	)	PUNCT
ejpam-6024	154	11	(	(	PUNCT
ejpam-6024	154	12	2025	2025	NUM
ejpam-6024	154	13	)	)	PUNCT
ejpam-6024	154	14	,	,	PUNCT
ejpam-6024	154	15	6024	6024	NUM
ejpam-6024	154	16	8	8	NUM
ejpam-6024	154	17	of	of	ADP
ejpam-6024	154	18	25	25	NUM
ejpam-6024	154	19	3	3	NUM
ejpam-6024	154	20	.	.	PUNCT
ejpam-6024	154	21	main	main	ADJ
ejpam-6024	154	22	results	result	NOUN
ejpam-6024	154	23	3.1	3.1	NUM
ejpam-6024	154	24	.	.	PUNCT
ejpam-6024	155	1	asymptotic	asymptotic	ADJ
ejpam-6024	155	2	distribution	distribution	NOUN
ejpam-6024	155	3	of	of	ADP
ejpam-6024	155	4	class	class	NOUN
ejpam-6024	155	5	of	of	ADP
ejpam-6024	155	6	estimators	estimator	NOUN
ejpam-6024	155	7	π̂	π̂	PUNCT
ejpam-6024	155	8	(	(	PUNCT
ejpam-6024	155	9	k	k	NOUN
ejpam-6024	155	10	)	)	PUNCT
ejpam-6024	155	11	β	β	NOUN
ejpam-6024	155	12	,	,	PUNCT
ejpam-6024	155	13	k	k	NOUN
ejpam-6024	155	14	,	,	PUNCT
ejpam-6024	155	15	n	n	CCONJ
ejpam-6024	155	16	in	in	ADP
ejpam-6024	155	17	this	this	DET
ejpam-6024	155	18	section	section	NOUN
ejpam-6024	155	19	,	,	PUNCT
ejpam-6024	155	20	we	we	PRON
ejpam-6024	155	21	investigate	investigate	VERB
ejpam-6024	155	22	the	the	DET
ejpam-6024	155	23	asymptotic	asymptotic	ADJ
ejpam-6024	155	24	distribution	distribution	NOUN
ejpam-6024	155	25	of	of	ADP
ejpam-6024	155	26	the	the	DET
ejpam-6024	155	27	class	class	NOUN
ejpam-6024	155	28	of	of	ADP
ejpam-6024	155	29	distortion	distortion	NOUN
ejpam-6024	155	30	premiums	premium	NOUN
ejpam-6024	155	31	estimators	estimator	NOUN
ejpam-6024	155	32	π̂	π̂	PUNCT
ejpam-6024	155	33	(	(	PUNCT
ejpam-6024	155	34	k	k	NOUN
ejpam-6024	155	35	)	)	PUNCT
ejpam-6024	155	36	β	β	NOUN
ejpam-6024	155	37	,	,	PUNCT
ejpam-6024	155	38	k	k	PROPN
ejpam-6024	155	39	,	,	PUNCT
ejpam-6024	155	40	n	n	PRON
ejpam-6024	155	41	introduced	introduce	VERB
ejpam-6024	155	42	in	in	ADP
ejpam-6024	155	43	(	(	PUNCT
ejpam-6024	155	44	14	14	NUM
ejpam-6024	155	45	)	)	PUNCT
ejpam-6024	155	46	.	.	PUNCT
ejpam-6024	156	1	clearly	clearly	ADV
ejpam-6024	156	2	,	,	PUNCT
ejpam-6024	156	3	this	this	DET
ejpam-6024	156	4	class	class	NOUN
ejpam-6024	156	5	of	of	ADP
ejpam-6024	156	6	estimator	estimator	NOUN
ejpam-6024	156	7	is	be	AUX
ejpam-6024	156	8	directly	directly	ADV
ejpam-6024	156	9	related	relate	VERB
ejpam-6024	156	10	to	to	ADP
ejpam-6024	156	11	the	the	DET
ejpam-6024	156	12	kernel	kernel	PROPN
ejpam-6024	156	13	estimator	estimator	NOUN
ejpam-6024	156	14	γ̂	γ̂	PROPN
ejpam-6024	157	1	(	(	PUNCT
ejpam-6024	157	2	k	k	X
ejpam-6024	157	3	)	)	PUNCT
ejpam-6024	157	4	k	k	NOUN
ejpam-6024	157	5	of	of	ADP
ejpam-6024	157	6	the	the	DET
ejpam-6024	157	7	tail	tail	NOUN
ejpam-6024	157	8	index	index	NOUN
ejpam-6024	157	9	γ	γ	PROPN
ejpam-6024	157	10	.	.	PROPN
ejpam-6024	157	11	note	note	VERB
ejpam-6024	157	12	that	that	SCONJ
ejpam-6024	157	13	in	in	ADP
ejpam-6024	157	14	extreme	extreme	ADJ
ejpam-6024	157	15	value	value	NOUN
ejpam-6024	157	16	theory	theory	NOUN
ejpam-6024	157	17	(	(	PUNCT
ejpam-6024	157	18	evt	evt	PROPN
ejpam-6024	157	19	)	)	PUNCT
ejpam-6024	157	20	,	,	PUNCT
ejpam-6024	157	21	to	to	PART
ejpam-6024	157	22	prove	prove	VERB
ejpam-6024	157	23	the	the	DET
ejpam-6024	157	24	asymptotic	asymptotic	ADJ
ejpam-6024	157	25	distribution	distribution	NOUN
ejpam-6024	157	26	of	of	ADP
ejpam-6024	157	27	the	the	DET
ejpam-6024	157	28	tail	tail	NOUN
ejpam-6024	157	29	index	index	NOUN
ejpam-6024	157	30	estimators	estimator	NOUN
ejpam-6024	157	31	such	such	ADJ
ejpam-6024	157	32	as	as	ADP
ejpam-6024	157	33	the	the	DET
ejpam-6024	157	34	hill	hill	NOUN
ejpam-6024	157	35	’s	’s	PART
ejpam-6024	157	36	estimator	estimator	NOUN
ejpam-6024	157	37	or	or	CCONJ
ejpam-6024	157	38	the	the	DET
ejpam-6024	157	39	kernel	kernel	NOUN
ejpam-6024	157	40	-	-	PUNCT
ejpam-6024	157	41	type	type	NOUN
ejpam-6024	157	42	one	one	NOUN
ejpam-6024	157	43	,	,	PUNCT
ejpam-6024	157	44	we	we	PRON
ejpam-6024	157	45	need	need	VERB
ejpam-6024	157	46	a	a	DET
ejpam-6024	157	47	second	second	ADJ
ejpam-6024	157	48	order	order	NOUN
ejpam-6024	157	49	condition	condition	NOUN
ejpam-6024	157	50	which	which	PRON
ejpam-6024	157	51	specifies	specify	VERB
ejpam-6024	157	52	the	the	DET
ejpam-6024	157	53	rate	rate	NOUN
ejpam-6024	157	54	of	of	ADP
ejpam-6024	157	55	convergence	convergence	NOUN
ejpam-6024	157	56	for	for	ADP
ejpam-6024	157	57	the	the	DET
ejpam-6024	157	58	left	left	ADJ
ejpam-6024	157	59	-	-	PUNCT
ejpam-6024	157	60	hand	hand	NOUN
ejpam-6024	157	61	side	side	NOUN
ejpam-6024	157	62	of	of	ADP
ejpam-6024	157	63	the	the	DET
ejpam-6024	157	64	equations	equation	NOUN
ejpam-6024	157	65	in	in	ADP
ejpam-6024	157	66	(	(	PUNCT
ejpam-6024	157	67	8)	8)	NUM
ejpam-6024	157	68	to	to	ADP
ejpam-6024	157	69	their	their	PRON
ejpam-6024	157	70	limits	limit	NOUN
ejpam-6024	157	71	(	(	PUNCT
ejpam-6024	157	72	see	see	VERB
ejpam-6024	157	73	,	,	PUNCT
ejpam-6024	157	74	eg	eg	NOUN
ejpam-6024	157	75	.	.	PUNCT
ejpam-6024	158	1	[	[	X
ejpam-6024	158	2	30	30	NUM
ejpam-6024	158	3	]	]	PUNCT
ejpam-6024	158	4	,	,	PUNCT
ejpam-6024	158	5	[	[	X
ejpam-6024	158	6	11	11	NUM
ejpam-6024	158	7	]	]	PUNCT
ejpam-6024	158	8	and	and	CCONJ
ejpam-6024	158	9	[	[	X
ejpam-6024	158	10	31	31	NUM
ejpam-6024	158	11	]	]	PUNCT
ejpam-6024	158	12	)	)	PUNCT
ejpam-6024	158	13	.	.	PUNCT
ejpam-6024	159	1	this	this	DET
ejpam-6024	159	2	condition	condition	NOUN
ejpam-6024	159	3	can	can	AUX
ejpam-6024	159	4	be	be	AUX
ejpam-6024	159	5	formulated	formulate	VERB
ejpam-6024	159	6	in	in	ADP
ejpam-6024	159	7	different	different	ADJ
ejpam-6024	159	8	ways	way	NOUN
ejpam-6024	159	9	as	as	SCONJ
ejpam-6024	159	10	shown	show	VERB
ejpam-6024	159	11	below	below	ADV
ejpam-6024	159	12	.	.	PUNCT
ejpam-6024	160	1	we	we	PRON
ejpam-6024	160	2	will	will	AUX
ejpam-6024	160	3	use	use	VERB
ejpam-6024	160	4	the	the	DET
ejpam-6024	160	5	formulation	formulation	NOUN
ejpam-6024	160	6	later	later	ADV
ejpam-6024	160	7	-	-	PUNCT
ejpam-6024	160	8	on	on	ADP
ejpam-6024	160	9	.	.	PUNCT
ejpam-6024	161	1	second	second	ADJ
ejpam-6024	161	2	order	order	NOUN
ejpam-6024	161	3	regularly	regularly	ADV
ejpam-6024	161	4	varying	vary	VERB
ejpam-6024	161	5	condition	condition	NOUN
ejpam-6024	161	6	(	(	PUNCT
ejpam-6024	161	7	cso	cso	PROPN
ejpam-6024	161	8	)	)	PUNCT
ejpam-6024	161	9	.	.	PUNCT
ejpam-6024	161	10	suppose	suppose	VERB
ejpam-6024	161	11	that	that	SCONJ
ejpam-6024	161	12	there	there	PRON
ejpam-6024	161	13	exists	exist	VERB
ejpam-6024	161	14	a	a	DET
ejpam-6024	161	15	positive	positive	ADJ
ejpam-6024	161	16	or	or	CCONJ
ejpam-6024	161	17	negative	negative	ADJ
ejpam-6024	161	18	function	function	NOUN
ejpam-6024	161	19	a	a	PRON
ejpam-6024	161	20	with	with	ADP
ejpam-6024	161	21	lim	lim	PROPN
ejpam-6024	161	22	t→∞	t→∞	X
ejpam-6024	161	23	a(t	a(t	PROPN
ejpam-6024	161	24	)	)	PUNCT
ejpam-6024	161	25	=	=	SYM
ejpam-6024	161	26	0	0	NUM
ejpam-6024	161	27	and	and	CCONJ
ejpam-6024	161	28	a	a	DET
ejpam-6024	161	29	real	real	ADJ
ejpam-6024	161	30	number	number	NOUN
ejpam-6024	161	31	ρ	ρ	NOUN
ejpam-6024	161	32	≤	≤	NOUN
ejpam-6024	161	33	0	0	NUM
ejpam-6024	161	34	such	such	ADJ
ejpam-6024	161	35	that	that	SCONJ
ejpam-6024	161	36	lim	lim	PROPN
ejpam-6024	161	37	t→∞	t→∞	PRON
ejpam-6024	161	38	1	1	NUM
ejpam-6024	161	39	a(t	a(t	NOUN
ejpam-6024	161	40	)	)	PUNCT
ejpam-6024	161	41	(	(	PUNCT
ejpam-6024	161	42	u(tx	u(tx	NOUN
ejpam-6024	161	43	)	)	PUNCT
ejpam-6024	161	44	u(t	u(t	NOUN
ejpam-6024	161	45	)	)	PUNCT
ejpam-6024	161	46	−	−	NOUN
ejpam-6024	161	47	xγ	xγ	NOUN
ejpam-6024	161	48	)	)	PUNCT
ejpam-6024	162	1	=	=	PUNCT
ejpam-6024	162	2	xγ	xγ	NOUN
ejpam-6024	162	3	xρ	xρ	PROPN
ejpam-6024	163	1	−	−	PROPN
ejpam-6024	163	2	1	1	NUM
ejpam-6024	163	3	ρ	ρ	NOUN
ejpam-6024	163	4	,	,	PUNCT
ejpam-6024	163	5	∀x	∀x	X
ejpam-6024	163	6	>	>	X
ejpam-6024	163	7	0	0	NUM
ejpam-6024	163	8	.	.	PUNCT
ejpam-6024	164	1	(	(	PUNCT
ejpam-6024	164	2	15	15	NUM
ejpam-6024	164	3	)	)	PUNCT
ejpam-6024	164	4	the	the	DET
ejpam-6024	164	5	rate	rate	NOUN
ejpam-6024	164	6	of	of	ADP
ejpam-6024	164	7	the	the	DET
ejpam-6024	164	8	convergence	convergence	NOUN
ejpam-6024	164	9	for	for	ADP
ejpam-6024	164	10	the	the	DET
ejpam-6024	164	11	function	function	NOUN
ejpam-6024	164	12	a	a	DET
ejpam-6024	164	13	to	to	ADP
ejpam-6024	164	14	0	0	NUM
ejpam-6024	164	15	is	be	AUX
ejpam-6024	164	16	essential	essential	ADJ
ejpam-6024	164	17	since	since	SCONJ
ejpam-6024	164	18	it	it	PRON
ejpam-6024	164	19	helps	help	VERB
ejpam-6024	164	20	to	to	PART
ejpam-6024	164	21	exhibit	exhibit	VERB
ejpam-6024	164	22	the	the	DET
ejpam-6024	164	23	bias	bias	NOUN
ejpam-6024	164	24	term	term	NOUN
ejpam-6024	164	25	of	of	ADP
ejpam-6024	164	26	the	the	DET
ejpam-6024	164	27	tail	tail	NOUN
ejpam-6024	164	28	index	index	NOUN
ejpam-6024	164	29	estimators	estimator	NOUN
ejpam-6024	164	30	.	.	PUNCT
ejpam-6024	165	1	the	the	DET
ejpam-6024	165	2	asymptotic	asymptotic	ADJ
ejpam-6024	165	3	normality	normality	NOUN
ejpam-6024	165	4	of	of	ADP
ejpam-6024	165	5	the	the	DET
ejpam-6024	165	6	original	original	ADJ
ejpam-6024	165	7	hill	hill	PROPN
ejpam-6024	165	8	’s	’s	PART
ejpam-6024	165	9	estimator	estimator	NOUN
ejpam-6024	165	10	has	have	AUX
ejpam-6024	165	11	been	be	AUX
ejpam-6024	165	12	established	establish	VERB
ejpam-6024	165	13	for	for	ADP
ejpam-6024	165	14	β	β	NOUN
ejpam-6024	165	15	-	-	ADJ
ejpam-6024	165	16	mixing	mix	VERB
ejpam-6024	165	17	sequences	sequence	NOUN
ejpam-6024	165	18	in	in	ADP
ejpam-6024	165	19	[	[	X
ejpam-6024	165	20	27	27	NUM
ejpam-6024	165	21	]	]	PUNCT
ejpam-6024	165	22	and	and	CCONJ
ejpam-6024	165	23	[	[	X
ejpam-6024	165	24	28	28	NUM
ejpam-6024	165	25	]	]	PUNCT
ejpam-6024	165	26	.	.	PUNCT
ejpam-6024	166	1	also	also	ADV
ejpam-6024	166	2	,	,	PUNCT
ejpam-6024	166	3	from	from	ADP
ejpam-6024	166	4	the	the	DET
ejpam-6024	166	5	assumption	assumption	NOUN
ejpam-6024	166	6	that	that	SCONJ
ejpam-6024	166	7	the	the	DET
ejpam-6024	166	8	intermediate	intermediate	ADJ
ejpam-6024	166	9	sequence	sequence	NOUN
ejpam-6024	166	10	k	k	PROPN
ejpam-6024	166	11	is	be	AUX
ejpam-6024	166	12	such	such	ADJ
ejpam-6024	166	13	that	that	PRON
ejpam-6024	166	14	k1/2a(n	k1/2a(n	PROPN
ejpam-6024	166	15	/	/	SYM
ejpam-6024	166	16	k	k	NOUN
ejpam-6024	166	17	)	)	PUNCT
ejpam-6024	166	18	→	→	PUNCT
ejpam-6024	166	19	λ	λ	X
ejpam-6024	166	20	∈	∈	PROPN
ejpam-6024	166	21	r	r	NOUN
ejpam-6024	166	22	,	,	PUNCT
ejpam-6024	166	23	as	as	ADP
ejpam-6024	166	24	n	n	NUM
ejpam-6024	166	25	→	→	SYM
ejpam-6024	166	26	∞	∞	NUM
ejpam-6024	166	27	and	and	CCONJ
ejpam-6024	166	28	assuming	assume	VERB
ejpam-6024	166	29	the	the	DET
ejpam-6024	166	30	following	follow	VERB
ejpam-6024	166	31	regularity	regularity	NOUN
ejpam-6024	166	32	conditions	condition	NOUN
ejpam-6024	166	33	on	on	ADP
ejpam-6024	166	34	the	the	DET
ejpam-6024	166	35	β	β	NOUN
ejpam-6024	166	36	-	-	ADJ
ejpam-6024	166	37	mixing	mix	VERB
ejpam-6024	166	38	coefficients	coefficient	NOUN
ejpam-6024	166	39	:	:	PUNCT
ejpam-6024	166	40	regularity	regularity	NOUN
ejpam-6024	166	41	conditions	condition	NOUN
ejpam-6024	166	42	(	(	PUNCT
ejpam-6024	166	43	cr	cr	NOUN
ejpam-6024	166	44	)	)	PUNCT
ejpam-6024	166	45	.	.	PUNCT
ejpam-6024	167	1	there	there	PRON
ejpam-6024	167	2	exist	exist	VERB
ejpam-6024	167	3	ϵ	ϵ	ADP
ejpam-6024	167	4	>	>	X
ejpam-6024	167	5	0	0	PROPN
ejpam-6024	167	6	,	,	PUNCT
ejpam-6024	167	7	a	a	DET
ejpam-6024	167	8	bivariate	bivariate	ADJ
ejpam-6024	167	9	function	function	NOUN
ejpam-6024	167	10	r	r	NOUN
ejpam-6024	167	11	and	and	CCONJ
ejpam-6024	167	12	a	a	DET
ejpam-6024	167	13	sequence	sequence	NOUN
ejpam-6024	167	14	ℓn	ℓn	ADV
ejpam-6024	167	15	such	such	ADJ
ejpam-6024	167	16	that	that	SCONJ
ejpam-6024	167	17	,	,	PUNCT
ejpam-6024	167	18	as	as	ADP
ejpam-6024	167	19	n	n	X
ejpam-6024	167	20	→	→	SYM
ejpam-6024	167	21	∞	∞	PROPN
ejpam-6024	167	22	,	,	PUNCT
ejpam-6024	167	23	(	(	PUNCT
ejpam-6024	167	24	a	a	X
ejpam-6024	167	25	)	)	PUNCT
ejpam-6024	167	26	β(ℓ	β(ℓ	NUM
ejpam-6024	167	27	)	)	PUNCT
ejpam-6024	167	28	ℓ	ℓ	PROPN
ejpam-6024	167	29	n+	n+	PUNCT
ejpam-6024	167	30	ℓ	ℓ	PROPN
ejpam-6024	167	31	log2	log2	PROPN
ejpam-6024	167	32	k√	k√	NOUN
ejpam-6024	167	33	k	k	X
ejpam-6024	167	34	→	→	X
ejpam-6024	167	35	0	0	NUM
ejpam-6024	167	36	;	;	PUNCT
ejpam-6024	167	37	(	(	PUNCT
ejpam-6024	167	38	b	b	X
ejpam-6024	167	39	)	)	PUNCT
ejpam-6024	167	40	n	n	NOUN
ejpam-6024	167	41	ℓ	ℓ	PROPN
ejpam-6024	167	42	k	k	PROPN
ejpam-6024	167	43	cov	cov	PROPN
ejpam-6024	167	44	(	(	PUNCT
ejpam-6024	167	45	ℓ∑	ℓ∑	INTJ
ejpam-6024	167	46	i=1	i=1	PROPN
ejpam-6024	167	47	i{xi	i{xi	PROPN
ejpam-6024	167	48	>	>	X
ejpam-6024	167	49	f←(1−kx	f←(1−kx	X
ejpam-6024	167	50	/	/	SYM
ejpam-6024	167	51	n	n	CCONJ
ejpam-6024	167	52	)	)	PUNCT
ejpam-6024	167	53	}	}	PUNCT
ejpam-6024	167	54	,	,	PUNCT
ejpam-6024	168	1	ℓ∑	ℓ∑	PROPN
ejpam-6024	168	2	i=1	i=1	PRON
ejpam-6024	168	3	i{xi	i{xi	PROPN
ejpam-6024	168	4	>	>	X
ejpam-6024	168	5	f←(1−ky	f←(1−ky	X
ejpam-6024	168	6	/	/	SYM
ejpam-6024	168	7	n	n	CCONJ
ejpam-6024	168	8	)	)	PUNCT
ejpam-6024	168	9	}	}	PUNCT
ejpam-6024	168	10	)	)	PUNCT
ejpam-6024	169	1	→	→	SYM
ejpam-6024	169	2	r(x	r(x	PROPN
ejpam-6024	169	3	,	,	PUNCT
ejpam-6024	169	4	y	y	PROPN
ejpam-6024	169	5	)	)	PUNCT
ejpam-6024	169	6	,	,	PUNCT
ejpam-6024	169	7	∀	∀	NOUN
ejpam-6024	169	8	0	0	NUM
ejpam-6024	169	9	≤x	≤x	PROPN
ejpam-6024	169	10	,	,	PUNCT
ejpam-6024	169	11	y≤1	y≤1	PROPN
ejpam-6024	169	12	+	+	CCONJ
ejpam-6024	169	13	ϵ	ϵ	X
ejpam-6024	169	14	;	;	PUNCT
ejpam-6024	169	15	(	(	PUNCT
ejpam-6024	169	16	c	c	X
ejpam-6024	169	17	)	)	PUNCT
ejpam-6024	169	18	for	for	ADP
ejpam-6024	169	19	some	some	DET
ejpam-6024	169	20	constant	constant	ADJ
ejpam-6024	169	21	c	c	NOUN
ejpam-6024	169	22	:	:	PUNCT
ejpam-6024	169	23	n	n	PROPN
ejpam-6024	169	24	ℓ	ℓ	NOUN
ejpam-6024	169	25	k	k	PROPN
ejpam-6024	169	26	e	e	X
ejpam-6024	169	27			PROPN
ejpam-6024	169	28	(	(	PUNCT
ejpam-6024	169	29	ℓ∑	ℓ∑	PROPN
ejpam-6024	169	30	i=1	i=1	PROPN
ejpam-6024	169	31	i{f←(1−ky	i{f←(1−ky	PROPN
ejpam-6024	169	32	/	/	SYM
ejpam-6024	169	33	n)<xi≤f←(1−kx	n)<xi≤f←(1−kx	NOUN
ejpam-6024	169	34	/	/	SYM
ejpam-6024	169	35	n	n	CCONJ
ejpam-6024	169	36	)	)	PUNCT
ejpam-6024	169	37	}	}	PUNCT
ejpam-6024	169	38	)	)	PUNCT
ejpam-6024	169	39	4	4	NUM
ejpam-6024	169	40	≤c(y−	≤c(y−	NOUN
ejpam-6024	169	41	x	x	NOUN
ejpam-6024	169	42	)	)	PUNCT
ejpam-6024	169	43	,	,	PUNCT
ejpam-6024	169	44	∀	∀	X
ejpam-6024	169	45	0	0	NUM
ejpam-6024	169	46	≤	≤	NUM
ejpam-6024	169	47	x	x	X
ejpam-6024	169	48	<	<	X
ejpam-6024	169	49	y	y	PROPN
ejpam-6024	169	50	≤	≤	NUM
ejpam-6024	169	51	1	1	NUM
ejpam-6024	169	52	+	+	NUM
ejpam-6024	169	53	ϵ	ϵ	X
ejpam-6024	169	54	and	and	CCONJ
ejpam-6024	169	55	n	n	PRON
ejpam-6024	169	56	∈	∈	PROPN
ejpam-6024	169	57	n.	n.	NOUN
ejpam-6024	170	1	[	[	X
ejpam-6024	170	2	19	19	NUM
ejpam-6024	170	3	]	]	PUNCT
ejpam-6024	170	4	showed	show	VERB
ejpam-6024	170	5	,	,	PUNCT
ejpam-6024	170	6	for	for	ADP
ejpam-6024	170	7	a	a	DET
ejpam-6024	170	8	given	give	VERB
ejpam-6024	170	9	kernel	kernel	NOUN
ejpam-6024	170	10	satisfying	satisfy	VERB
ejpam-6024	170	11	the	the	DET
ejpam-6024	170	12	following	follow	VERB
ejpam-6024	170	13	assumptions	assumption	NOUN
ejpam-6024	170	14	:	:	PUNCT
ejpam-6024	170	15	condition	condition	NOUN
ejpam-6024	170	16	(	(	PUNCT
ejpam-6024	170	17	k	k	NOUN
ejpam-6024	170	18	)	)	PUNCT
ejpam-6024	170	19	.	.	PUNCT
ejpam-6024	171	1	let	let	VERB
ejpam-6024	171	2	k	k	PRON
ejpam-6024	171	3	be	be	AUX
ejpam-6024	171	4	a	a	DET
ejpam-6024	171	5	function	function	NOUN
ejpam-6024	171	6	defined	define	VERB
ejpam-6024	171	7	on	on	ADP
ejpam-6024	171	8	(	(	PUNCT
ejpam-6024	171	9	0	0	NUM
ejpam-6024	171	10	,	,	PUNCT
ejpam-6024	171	11	1	1	NUM
ejpam-6024	171	12	]	]	PUNCT
ejpam-6024	171	13	such	such	ADJ
ejpam-6024	171	14	that	that	SCONJ
ejpam-6024	171	15	(	(	PUNCT
ejpam-6024	171	16	i	i	NOUN
ejpam-6024	171	17	)	)	PUNCT
ejpam-6024	171	18	k(s	k(s	PROPN
ejpam-6024	171	19	)	)	PUNCT
ejpam-6024	171	20	≥	≥	NOUN
ejpam-6024	171	21	0	0	NUM
ejpam-6024	171	22	,	,	PUNCT
ejpam-6024	171	23	whenever	whenever	SCONJ
ejpam-6024	171	24	,	,	PUNCT
ejpam-6024	171	25	0	0	PUNCT
ejpam-6024	171	26	<	<	X
ejpam-6024	171	27	s	s	X
ejpam-6024	171	28	≤	≤	NUM
ejpam-6024	171	29	1	1	NUM
ejpam-6024	171	30	and	and	CCONJ
ejpam-6024	171	31	k(1	k(1	PROPN
ejpam-6024	171	32	)	)	PUNCT
ejpam-6024	171	33	=	=	PROPN
ejpam-6024	171	34	0	0	NUM
ejpam-6024	171	35	;	;	PUNCT
ejpam-6024	171	36	(	(	PUNCT
ejpam-6024	171	37	ii	ii	NOUN
ejpam-6024	171	38	)	)	PUNCT
ejpam-6024	171	39	k	k	PROPN
ejpam-6024	171	40	(	(	PUNCT
ejpam-6024	171	41	·	·	PUNCT
ejpam-6024	171	42	)	)	PUNCT
ejpam-6024	171	43	is	be	AUX
ejpam-6024	171	44	differentiable	differentiable	ADJ
ejpam-6024	171	45	,	,	PUNCT
ejpam-6024	171	46	non	non	X
ejpam-6024	171	47	increasing	increase	VERB
ejpam-6024	171	48	and	and	CCONJ
ejpam-6024	171	49	right	right	ADV
ejpam-6024	171	50	continuous	continuous	ADJ
ejpam-6024	171	51	on	on	ADP
ejpam-6024	171	52	(	(	PUNCT
ejpam-6024	171	53	0	0	NUM
ejpam-6024	171	54	,	,	PUNCT
ejpam-6024	171	55	1	1	NUM
ejpam-6024	171	56	]	]	PUNCT
ejpam-6024	171	57	;	;	PUNCT
ejpam-6024	171	58	(	(	PUNCT
ejpam-6024	171	59	iii	iii	X
ejpam-6024	171	60	)	)	PUNCT
ejpam-6024	171	61	k	k	PROPN
ejpam-6024	171	62	and	and	CCONJ
ejpam-6024	171	63	k	k	PROPN
ejpam-6024	171	64	′	′	PROPN
ejpam-6024	171	65	are	be	AUX
ejpam-6024	171	66	bounded	bound	VERB
ejpam-6024	171	67	;	;	PUNCT
ejpam-6024	171	68	(	(	PUNCT
ejpam-6024	171	69	iv	iv	X
ejpam-6024	171	70	)	)	PUNCT
ejpam-6024	171	71	∫	∫	PROPN
ejpam-6024	172	1	1	1	NUM
ejpam-6024	172	2	0	0	NUM
ejpam-6024	172	3	k(u)du	k(u)du	PROPN
ejpam-6024	172	4	=	=	SYM
ejpam-6024	172	5	1	1	NUM
ejpam-6024	172	6	;	;	PUNCT
ejpam-6024	172	7	a.	a.	NOUN
ejpam-6024	172	8	aghrabatt	aghrabatt	PROPN
ejpam-6024	172	9	et	et	PROPN
ejpam-6024	172	10	al	al	PROPN
ejpam-6024	172	11	.	.	PUNCT
ejpam-6024	172	12	/	/	SYM
ejpam-6024	172	13	eur	eur	PROPN
ejpam-6024	172	14	.	.	PUNCT
ejpam-6024	173	1	j.	j.	PROPN
ejpam-6024	173	2	pure	pure	PROPN
ejpam-6024	173	3	appl	appl	PROPN
ejpam-6024	173	4	.	.	PROPN
ejpam-6024	173	5	math	math	PROPN
ejpam-6024	173	6	,	,	PUNCT
ejpam-6024	173	7	18	18	NUM
ejpam-6024	173	8	(	(	PUNCT
ejpam-6024	173	9	2	2	NUM
ejpam-6024	173	10	)	)	PUNCT
ejpam-6024	173	11	(	(	PUNCT
ejpam-6024	173	12	2025	2025	NUM
ejpam-6024	173	13	)	)	PUNCT
ejpam-6024	173	14	,	,	PUNCT
ejpam-6024	173	15	6024	6024	NUM
ejpam-6024	173	16	9	9	NUM
ejpam-6024	173	17	of	of	ADP
ejpam-6024	173	18	25	25	NUM
ejpam-6024	173	19	(	(	PUNCT
ejpam-6024	173	20	v	v	NOUN
ejpam-6024	173	21	)	)	PUNCT
ejpam-6024	173	22	∫	∫	PROPN
ejpam-6024	174	1	1	1	NUM
ejpam-6024	174	2	0	0	NUM
ejpam-6024	174	3	u−1/2k(u)du	u−1/2k(u)du	NOUN
ejpam-6024	174	4	<	<	X
ejpam-6024	174	5	1	1	NUM
ejpam-6024	174	6	,	,	PUNCT
ejpam-6024	174	7	that	that	SCONJ
ejpam-6024	174	8	:	:	PUNCT
ejpam-6024	174	9	γ̂	γ̂	NUM
ejpam-6024	174	10	(	(	PUNCT
ejpam-6024	174	11	k	k	NOUN
ejpam-6024	174	12	)	)	PUNCT
ejpam-6024	174	13	n	n	CCONJ
ejpam-6024	174	14	,	,	PUNCT
ejpam-6024	174	15	k	k	PROPN
ejpam-6024	174	16	d	d	NOUN
ejpam-6024	174	17	=	=	PUNCT
ejpam-6024	174	18	γ	γ	X
ejpam-6024	174	19	+	+	PROPN
ejpam-6024	174	20	a(n	a(n	NOUN
ejpam-6024	174	21	/	/	SYM
ejpam-6024	174	22	k	k	NOUN
ejpam-6024	174	23	)	)	PUNCT
ejpam-6024	174	24	∫	∫	PROPN
ejpam-6024	175	1	1	1	NUM
ejpam-6024	175	2	0	0	NUM
ejpam-6024	175	3	t−ρk(t)dt+	t−ρk(t)dt+	ADP
ejpam-6024	175	4	k−1/2γ	k−1/2γ	PROPN
ejpam-6024	175	5	∫	∫	PROPN
ejpam-6024	175	6	1	1	NUM
ejpam-6024	175	7	0	0	NUM
ejpam-6024	176	1	(	(	PUNCT
ejpam-6024	176	2	t−1w	t−1w	NOUN
ejpam-6024	176	3	(	(	PUNCT
ejpam-6024	176	4	t)−w	t)−w	NUM
ejpam-6024	176	5	(	(	PUNCT
ejpam-6024	176	6	1	1	NUM
ejpam-6024	176	7	)	)	PUNCT
ejpam-6024	176	8	)	)	PUNCT
ejpam-6024	176	9	d(tk(t	d(tk(t	NOUN
ejpam-6024	176	10	)	)	PUNCT
ejpam-6024	176	11	)	)	PUNCT
ejpam-6024	177	1	+	+	CCONJ
ejpam-6024	177	2	op(k	op(k	NUM
ejpam-6024	177	3	−1/2	−1/2	ADJ
ejpam-6024	177	4	)	)	PUNCT
ejpam-6024	177	5	,	,	PUNCT
ejpam-6024	177	6	(	(	PUNCT
ejpam-6024	177	7	16	16	NUM
ejpam-6024	177	8	)	)	PUNCT
ejpam-6024	177	9	where	where	SCONJ
ejpam-6024	177	10	(	(	PUNCT
ejpam-6024	177	11	w	w	NOUN
ejpam-6024	177	12	(	(	PUNCT
ejpam-6024	177	13	t))t∈[0,1	t))t∈[0,1	NOUN
ejpam-6024	177	14	]	]	X
ejpam-6024	177	15	is	be	AUX
ejpam-6024	177	16	a	a	DET
ejpam-6024	177	17	gaussian	gaussian	ADJ
ejpam-6024	177	18	process	process	NOUN
ejpam-6024	177	19	with	with	ADP
ejpam-6024	177	20	covariance	covariance	NOUN
ejpam-6024	177	21	function	function	NOUN
ejpam-6024	177	22	r	r	NOUN
ejpam-6024	177	23	(	(	PUNCT
ejpam-6024	177	24	.	.	PUNCT
ejpam-6024	177	25	,	,	PUNCT
ejpam-6024	177	26	.	.	PUNCT
ejpam-6024	177	27	)	)	PUNCT
ejpam-6024	178	1	given	give	VERB
ejpam-6024	178	2	in	in	ADP
ejpam-6024	178	3	(	(	PUNCT
ejpam-6024	178	4	cr	cr	NOUN
ejpam-6024	178	5	)	)	PUNCT
ejpam-6024	178	6	and	and	CCONJ
ejpam-6024	178	7	is	be	AUX
ejpam-6024	178	8	defined	define	VERB
ejpam-6024	178	9	under	under	ADP
ejpam-6024	178	10	a	a	DET
ejpam-6024	178	11	skorohod	skorohod	ADJ
ejpam-6024	178	12	construction	construction	NOUN
ejpam-6024	178	13	.	.	PUNCT
ejpam-6024	179	1	in	in	ADP
ejpam-6024	179	2	particular	particular	ADJ
ejpam-6024	179	3	if	if	SCONJ
ejpam-6024	179	4	k1/2a(n	k1/2a(n	PROPN
ejpam-6024	179	5	/	/	SYM
ejpam-6024	179	6	k	k	NOUN
ejpam-6024	179	7	)	)	PUNCT
ejpam-6024	179	8	→	→	PUNCT
ejpam-6024	179	9	λ	λ	X
ejpam-6024	179	10	∈	∈	PROPN
ejpam-6024	179	11	r	r	NOUN
ejpam-6024	179	12	,	,	PUNCT
ejpam-6024	179	13	as	as	ADP
ejpam-6024	179	14	n	n	NUM
ejpam-6024	179	15	→	→	SYM
ejpam-6024	179	16	∞	∞	PROPN
ejpam-6024	179	17	,	,	PUNCT
ejpam-6024	179	18	we	we	PRON
ejpam-6024	179	19	also	also	ADV
ejpam-6024	179	20	have	have	VERB
ejpam-6024	179	21	from	from	ADP
ejpam-6024	179	22	theorem	theorem	NOUN
ejpam-6024	179	23	1	1	NUM
ejpam-6024	179	24	in	in	ADP
ejpam-6024	179	25	[	[	X
ejpam-6024	179	26	19	19	NUM
ejpam-6024	179	27	]	]	PUNCT
ejpam-6024	179	28	:	:	PUNCT
ejpam-6024	179	29	√	√	ADP
ejpam-6024	180	1	k(γ̂	k(γ̂	PROPN
ejpam-6024	180	2	(	(	PUNCT
ejpam-6024	180	3	k	k	NOUN
ejpam-6024	180	4	)	)	PUNCT
ejpam-6024	180	5	k	k	NOUN
ejpam-6024	180	6	−	−	ADP
ejpam-6024	180	7	γ	γ	PROPN
ejpam-6024	180	8	)	)	PUNCT
ejpam-6024	180	9	d−→	d−→	PROPN
ejpam-6024	180	10	n	n	PROPN
ejpam-6024	180	11	(	(	PUNCT
ejpam-6024	180	12	λabk(ρ),avk(γ	λabk(ρ),avk(γ	NUM
ejpam-6024	180	13	)	)	PUNCT
ejpam-6024	180	14	)	)	PUNCT
ejpam-6024	180	15	,	,	PUNCT
ejpam-6024	180	16	(	(	PUNCT
ejpam-6024	180	17	17	17	NUM
ejpam-6024	180	18	)	)	PUNCT
ejpam-6024	180	19	where	where	SCONJ
ejpam-6024	180	20	abk(ρ	abk(ρ	X
ejpam-6024	180	21	)	)	PUNCT
ejpam-6024	180	22	=	=	SYM
ejpam-6024	181	1	∫	∫	PROPN
ejpam-6024	181	2	1	1	NUM
ejpam-6024	181	3	0	0	NUM
ejpam-6024	181	4	t−ρk(t)dt	t−ρk(t)dt	NOUN
ejpam-6024	181	5	and	and	CCONJ
ejpam-6024	181	6	avk(γ	avk(γ	PROPN
ejpam-6024	181	7	)	)	PUNCT
ejpam-6024	182	1	=	=	NOUN
ejpam-6024	183	1	γ2	γ2	NOUN
ejpam-6024	183	2	∫∫	∫∫	PROPN
ejpam-6024	183	3	[	[	X
ejpam-6024	183	4	0,1]2	0,1]2	NUM
ejpam-6024	183	5	{	{	PUNCT
ejpam-6024	183	6	r(t	r(t	NOUN
ejpam-6024	183	7	,	,	PUNCT
ejpam-6024	183	8	s	s	X
ejpam-6024	183	9	)	)	PUNCT
ejpam-6024	183	10	ts	ts	ADP
ejpam-6024	183	11	−	−	PROPN
ejpam-6024	183	12	r(t	r(t	NOUN
ejpam-6024	183	13	,	,	PUNCT
ejpam-6024	183	14	1	1	NUM
ejpam-6024	183	15	)	)	PUNCT
ejpam-6024	183	16	t	t	NOUN
ejpam-6024	183	17	−	−	PROPN
ejpam-6024	183	18	r(1	r(1	PROPN
ejpam-6024	183	19	,	,	PUNCT
ejpam-6024	183	20	s	s	PART
ejpam-6024	183	21	)	)	PUNCT
ejpam-6024	183	22	s	s	PART
ejpam-6024	183	23	+	+	CCONJ
ejpam-6024	183	24	r(1	r(1	PROPN
ejpam-6024	183	25	,	,	PUNCT
ejpam-6024	183	26	1	1	NUM
ejpam-6024	183	27	)	)	PUNCT
ejpam-6024	183	28	}	}	PUNCT
ejpam-6024	183	29	(	(	PUNCT
ejpam-6024	183	30	d(tk(t)))(d(sk(s	d(tk(t)))(d(sk(s	NOUN
ejpam-6024	183	31	)	)	PUNCT
ejpam-6024	183	32	)	)	PUNCT
ejpam-6024	183	33	)	)	PUNCT
ejpam-6024	183	34	.	.	PUNCT
ejpam-6024	184	1	the	the	DET
ejpam-6024	184	2	conditions	condition	NOUN
ejpam-6024	184	3	in	in	ADP
ejpam-6024	184	4	(	(	PUNCT
ejpam-6024	184	5	k	k	NOUN
ejpam-6024	184	6	)	)	PUNCT
ejpam-6024	184	7	are	be	AUX
ejpam-6024	184	8	not	not	PART
ejpam-6024	184	9	restrictive	restrictive	ADJ
ejpam-6024	184	10	but	but	CCONJ
ejpam-6024	184	11	are	be	AUX
ejpam-6024	184	12	satisfied	satisfied	ADJ
ejpam-6024	184	13	by	by	ADP
ejpam-6024	184	14	the	the	DET
ejpam-6024	184	15	usual	usual	ADJ
ejpam-6024	184	16	weight	weight	NOUN
ejpam-6024	184	17	functions	function	NOUN
ejpam-6024	184	18	used	use	VERB
ejpam-6024	184	19	in	in	ADP
ejpam-6024	184	20	the	the	DET
ejpam-6024	184	21	literature	literature	NOUN
ejpam-6024	184	22	,	,	PUNCT
ejpam-6024	184	23	including	include	VERB
ejpam-6024	184	24	the	the	DET
ejpam-6024	184	25	power	power	NOUN
ejpam-6024	184	26	kernel	kernel	PROPN
ejpam-6024	184	27	k(s	k(s	PROPN
ejpam-6024	184	28	)	)	PUNCT
ejpam-6024	185	1	=	=	PRON
ejpam-6024	185	2	(	(	PUNCT
ejpam-6024	185	3	1+τ)sτ	1+τ)sτ	VERB
ejpam-6024	185	4	i{0	i{0	PROPN
ejpam-6024	185	5	<	<	X
ejpam-6024	185	6	s<1	s<1	NOUN
ejpam-6024	185	7	}	}	PUNCT
ejpam-6024	185	8	,	,	PUNCT
ejpam-6024	185	9	τ	τ	X
ejpam-6024	185	10	≥	≥	NOUN
ejpam-6024	185	11	0	0	NUM
ejpam-6024	185	12	,	,	PUNCT
ejpam-6024	185	13	and	and	CCONJ
ejpam-6024	185	14	the	the	DET
ejpam-6024	185	15	log	log	NOUN
ejpam-6024	185	16	-	-	PUNCT
ejpam-6024	185	17	weight	weight	NOUN
ejpam-6024	185	18	function	function	NOUN
ejpam-6024	185	19	k(s	k(s	PROPN
ejpam-6024	185	20	)	)	PUNCT
ejpam-6024	185	21	=	=	PUNCT
ejpam-6024	186	1	(	(	PUNCT
ejpam-6024	186	2	−	−	NOUN
ejpam-6024	186	3	log	log	NOUN
ejpam-6024	186	4	s)κ	s)κ	NOUN
ejpam-6024	186	5	/	/	SYM
ejpam-6024	187	1	γ(κ	γ(κ	PROPN
ejpam-6024	188	1	+	+	NUM
ejpam-6024	188	2	1)i{0	1)i{0	NUM
ejpam-6024	188	3	<	<	X
ejpam-6024	188	4	s<1	s<1	NOUN
ejpam-6024	188	5	}	}	PUNCT
ejpam-6024	188	6	,	,	PUNCT
ejpam-6024	188	7	{	{	PUNCT
ejpam-6024	188	8	κ	κ	X
ejpam-6024	188	9	≥	≥	NOUN
ejpam-6024	188	10	1	1	NUM
ejpam-6024	188	11	}	}	PUNCT
ejpam-6024	188	12	.	.	PUNCT
ejpam-6024	189	1	in	in	ADP
ejpam-6024	189	2	particular	particular	ADJ
ejpam-6024	189	3	,	,	PUNCT
ejpam-6024	189	4	we	we	PRON
ejpam-6024	189	5	note	note	VERB
ejpam-6024	189	6	that	that	SCONJ
ejpam-6024	189	7	the	the	DET
ejpam-6024	189	8	classical	classical	ADJ
ejpam-6024	189	9	hill	hill	PROPN
ejpam-6024	189	10	’s	’s	PART
ejpam-6024	189	11	estimator	estimator	NOUN
ejpam-6024	189	12	in	in	ADP
ejpam-6024	189	13	(	(	PUNCT
ejpam-6024	189	14	9	9	NUM
ejpam-6024	189	15	)	)	PUNCT
ejpam-6024	189	16	can	can	AUX
ejpam-6024	189	17	be	be	AUX
ejpam-6024	189	18	viewed	view	VERB
ejpam-6024	189	19	as	as	ADP
ejpam-6024	189	20	a	a	DET
ejpam-6024	189	21	particular	particular	ADJ
ejpam-6024	189	22	case	case	NOUN
ejpam-6024	189	23	of	of	ADP
ejpam-6024	189	24	our	our	PRON
ejpam-6024	189	25	power	power	NOUN
ejpam-6024	189	26	kernel	kernel	NOUN
ejpam-6024	189	27	-	-	PUNCT
ejpam-6024	189	28	type	type	NOUN
ejpam-6024	189	29	estimator	estimator	NOUN
ejpam-6024	189	30	corresponding	corresponding	NOUN
ejpam-6024	189	31	to	to	ADP
ejpam-6024	189	32	τ	τ	PROPN
ejpam-6024	189	33	=	=	SYM
ejpam-6024	189	34	0	0	PROPN
ejpam-6024	189	35	and	and	CCONJ
ejpam-6024	189	36	k(s	k(s	PROPN
ejpam-6024	189	37	)	)	PUNCT
ejpam-6024	189	38	:	:	PUNCT
ejpam-6024	189	39	=	=	SYM
ejpam-6024	189	40	k(s	k(s	PROPN
ejpam-6024	189	41	)	)	PUNCT
ejpam-6024	189	42	=	=	PUNCT
ejpam-6024	190	1	i{0	i{0	PROPN
ejpam-6024	190	2	<	<	X
ejpam-6024	190	3	s<1	s<1	NOUN
ejpam-6024	190	4	}	}	PUNCT
ejpam-6024	190	5	.	.	PUNCT
ejpam-6024	191	1	the	the	DET
ejpam-6024	191	2	following	follow	VERB
ejpam-6024	191	3	theorem	theorem	NOUN
ejpam-6024	191	4	establishes	establish	VERB
ejpam-6024	191	5	the	the	DET
ejpam-6024	191	6	asymptotic	asymptotic	ADJ
ejpam-6024	191	7	expansion	expansion	NOUN
ejpam-6024	191	8	of	of	ADP
ejpam-6024	191	9	our	our	PRON
ejpam-6024	191	10	class	class	NOUN
ejpam-6024	191	11	of	of	ADP
ejpam-6024	191	12	distorted	distorted	ADJ
ejpam-6024	191	13	risk	risk	NOUN
ejpam-6024	191	14	premiums	premium	NOUN
ejpam-6024	191	15	estimators	estimator	NOUN
ejpam-6024	191	16	π̂	π̂	PUNCT
ejpam-6024	191	17	(	(	PUNCT
ejpam-6024	191	18	k	k	NOUN
ejpam-6024	191	19	)	)	PUNCT
ejpam-6024	191	20	β	β	NOUN
ejpam-6024	191	21	,	,	PUNCT
ejpam-6024	191	22	k	k	NOUN
ejpam-6024	191	23	,	,	PUNCT
ejpam-6024	191	24	n	n	X
ejpam-6024	191	25	in	in	ADP
ejpam-6024	191	26	terms	term	NOUN
ejpam-6024	191	27	of	of	ADP
ejpam-6024	191	28	gaussian	gaussian	ADJ
ejpam-6024	191	29	process	process	NOUN
ejpam-6024	191	30	.	.	PUNCT
ejpam-6024	192	1	theorem	theorem	NOUN
ejpam-6024	192	2	1	1	NUM
ejpam-6024	192	3	.	.	PUNCT
ejpam-6024	193	1	let	let	VERB
ejpam-6024	193	2	(	(	PUNCT
ejpam-6024	193	3	x1	x1	ADJ
ejpam-6024	193	4	,	,	PUNCT
ejpam-6024	193	5	x2	x2	PROPN
ejpam-6024	193	6	,	,	PUNCT
ejpam-6024	193	7	.	.	PUNCT
ejpam-6024	193	8	.	.	PUNCT
ejpam-6024	193	9	.	.	PUNCT
ejpam-6024	193	10	)	)	PUNCT
ejpam-6024	194	1	be	be	AUX
ejpam-6024	194	2	a	a	DET
ejpam-6024	194	3	stationary	stationary	ADJ
ejpam-6024	194	4	β	β	NOUN
ejpam-6024	194	5	-	-	ADJ
ejpam-6024	194	6	mixing	mix	VERB
ejpam-6024	194	7	time	time	NOUN
ejpam-6024	194	8	series	series	NOUN
ejpam-6024	194	9	with	with	ADP
ejpam-6024	194	10	a	a	DET
ejpam-6024	194	11	continuous	continuous	ADJ
ejpam-6024	194	12	common	common	ADJ
ejpam-6024	194	13	marginal	marginal	ADJ
ejpam-6024	194	14	distribution	distribution	NOUN
ejpam-6024	194	15	function	function	NOUN
ejpam-6024	194	16	f	f	PROPN
ejpam-6024	194	17	and	and	CCONJ
ejpam-6024	194	18	assume	assume	VERB
ejpam-6024	194	19	that	that	SCONJ
ejpam-6024	194	20	(	(	PUNCT
ejpam-6024	194	21	cso	cso	PROPN
ejpam-6024	194	22	)	)	PUNCT
ejpam-6024	194	23	and	and	CCONJ
ejpam-6024	194	24	(	(	PUNCT
ejpam-6024	194	25	cr	cr	NOUN
ejpam-6024	194	26	)	)	PUNCT
ejpam-6024	194	27	hold	hold	VERB
ejpam-6024	194	28	.	.	PUNCT
ejpam-6024	195	1	let	let	VERB
ejpam-6024	195	2	k	k	PRON
ejpam-6024	195	3	be	be	AUX
ejpam-6024	195	4	a	a	DET
ejpam-6024	195	5	kernel	kernel	NOUN
ejpam-6024	195	6	function	function	NOUN
ejpam-6024	195	7	satisfying	satisfy	VERB
ejpam-6024	195	8	the	the	DET
ejpam-6024	195	9	condition	condition	NOUN
ejpam-6024	195	10	(	(	PUNCT
ejpam-6024	195	11	k	k	NOUN
ejpam-6024	195	12	)	)	PUNCT
ejpam-6024	195	13	.	.	PUNCT
ejpam-6024	196	1	if	if	SCONJ
ejpam-6024	196	2	k	k	PROPN
ejpam-6024	196	3	=	=	SYM
ejpam-6024	196	4	k(n	k(n	X
ejpam-6024	196	5	)	)	PUNCT
ejpam-6024	196	6	is	be	AUX
ejpam-6024	196	7	an	an	DET
ejpam-6024	196	8	intermediate	intermediate	ADJ
ejpam-6024	196	9	sequence	sequence	NOUN
ejpam-6024	196	10	such	such	ADJ
ejpam-6024	196	11	that	that	SCONJ
ejpam-6024	196	12	k	k	PROPN
ejpam-6024	196	13	→	→	SYM
ejpam-6024	196	14	∞	∞	PROPN
ejpam-6024	196	15	,	,	PUNCT
ejpam-6024	196	16	k	k	X
ejpam-6024	196	17	/	/	SYM
ejpam-6024	196	18	n	n	PROPN
ejpam-6024	196	19	→	→	SYM
ejpam-6024	196	20	0	0	NUM
ejpam-6024	196	21	and	and	CCONJ
ejpam-6024	196	22	√	√	ADP
ejpam-6024	196	23	ka(n	ka(n	NOUN
ejpam-6024	196	24	/	/	SYM
ejpam-6024	196	25	k	k	NOUN
ejpam-6024	196	26	)	)	PUNCT
ejpam-6024	196	27	=	=	SYM
ejpam-6024	196	28	o(1	o(1	NOUN
ejpam-6024	196	29	)	)	PUNCT
ejpam-6024	196	30	,	,	PUNCT
ejpam-6024	196	31	as	as	ADP
ejpam-6024	196	32	n	n	X
ejpam-6024	196	33	→	→	SYM
ejpam-6024	196	34	∞	∞	PROPN
ejpam-6024	196	35	,	,	PUNCT
ejpam-6024	196	36	then	then	ADV
ejpam-6024	196	37	for	for	ADP
ejpam-6024	196	38	1/2	1/2	NUM
ejpam-6024	196	39	<	<	X
ejpam-6024	196	40	γ	γ	X
ejpam-6024	196	41	<	<	X
ejpam-6024	196	42	1	1	NUM
ejpam-6024	196	43	and	and	CCONJ
ejpam-6024	196	44	β	β	X
ejpam-6024	196	45	<	<	X
ejpam-6024	196	46	1	1	NUM
ejpam-6024	196	47	/	/	SYM
ejpam-6024	196	48	γ	γ	PROPN
ejpam-6024	196	49	,	,	PUNCT
ejpam-6024	196	50	we	we	PRON
ejpam-6024	196	51	have	have	VERB
ejpam-6024	196	52	:	:	PUNCT
ejpam-6024	197	1	√	√	PROPN
ejpam-6024	197	2	k	k	PROPN
ejpam-6024	197	3	(	(	PUNCT
ejpam-6024	197	4	π̂	π̂	X
ejpam-6024	197	5	(	(	PUNCT
ejpam-6024	197	6	k	k	NOUN
ejpam-6024	197	7	)	)	PUNCT
ejpam-6024	197	8	β	β	NOUN
ejpam-6024	197	9	,	,	PUNCT
ejpam-6024	197	10	k	k	PROPN
ejpam-6024	197	11	,	,	PUNCT
ejpam-6024	197	12	n	n	CCONJ
ejpam-6024	197	13	−	−	PROPN
ejpam-6024	197	14	πβ	πβ	NOUN
ejpam-6024	197	15	,	,	PUNCT
ejpam-6024	197	16	n	n	NOUN
ejpam-6024	197	17	)	)	PUNCT
ejpam-6024	197	18	gβ(k	gβ(k	X
ejpam-6024	197	19	/	/	SYM
ejpam-6024	197	20	n)q(1−	n)q(1−	PROPN
ejpam-6024	197	21	k	k	PROPN
ejpam-6024	197	22	/	/	SYM
ejpam-6024	197	23	n	n	CCONJ
ejpam-6024	197	24	)	)	PUNCT
ejpam-6024	197	25	d→	d→	PUNCT
ejpam-6024	197	26	λmk(γ	λmk(γ	PROPN
ejpam-6024	197	27	,	,	PUNCT
ejpam-6024	197	28	ρ	ρ	PROPN
ejpam-6024	197	29	,	,	PUNCT
ejpam-6024	197	30	β	β	NOUN
ejpam-6024	197	31	)	)	PUNCT
ejpam-6024	198	1	+	+	CCONJ
ejpam-6024	198	2	βγ2	βγ2	PROPN
ejpam-6024	198	3	1−	1−	NUM
ejpam-6024	198	4	β	β	SYM
ejpam-6024	198	5	γ	γ	X
ejpam-6024	198	6	w	w	PROPN
ejpam-6024	198	7	(	(	PUNCT
ejpam-6024	198	8	1	1	NUM
ejpam-6024	198	9	)	)	PUNCT
ejpam-6024	198	10	+	+	CCONJ
ejpam-6024	198	11	γβ	γβ	NOUN
ejpam-6024	198	12	(	(	PUNCT
ejpam-6024	198	13	1−	1−	NUM
ejpam-6024	198	14	β	β	X
ejpam-6024	198	15	γ)2	γ)2	PROPN
ejpam-6024	198	16	∫	∫	PROPN
ejpam-6024	198	17	1	1	NUM
ejpam-6024	198	18	0	0	NUM
ejpam-6024	198	19	(	(	PUNCT
ejpam-6024	198	20	t−1w	t−1w	NOUN
ejpam-6024	198	21	(	(	PUNCT
ejpam-6024	198	22	t)−w	t)−w	NUM
ejpam-6024	198	23	(	(	PUNCT
ejpam-6024	198	24	1	1	NUM
ejpam-6024	198	25	)	)	PUNCT
ejpam-6024	198	26	)	)	PUNCT
ejpam-6024	198	27	d(tk(t	d(tk(t	PROPN
ejpam-6024	198	28	)	)	PUNCT
ejpam-6024	198	29	)	)	PUNCT
ejpam-6024	198	30	,	,	PUNCT
ejpam-6024	198	31	as	as	ADP
ejpam-6024	198	32	n	n	X
ejpam-6024	198	33	→	→	SYM
ejpam-6024	198	34	∞	∞	PROPN
ejpam-6024	198	35	,	,	PUNCT
ejpam-6024	198	36	where	where	SCONJ
ejpam-6024	198	37	mk(γ	mk(γ	PROPN
ejpam-6024	198	38	,	,	PUNCT
ejpam-6024	198	39	ρ	ρ	PROPN
ejpam-6024	198	40	,	,	PUNCT
ejpam-6024	198	41	β	β	NOUN
ejpam-6024	198	42	)	)	PUNCT
ejpam-6024	198	43	=	=	SYM
ejpam-6024	198	44	β	β	X
ejpam-6024	198	45	(	(	PUNCT
ejpam-6024	198	46	1−	1−	NUM
ejpam-6024	198	47	βγ)2	βγ)2	PROPN
ejpam-6024	198	48	∫	∫	PROPN
ejpam-6024	198	49	1	1	NUM
ejpam-6024	198	50	0	0	NUM
ejpam-6024	198	51	t−ρk(t)dt−	t−ρk(t)dt−	PROPN
ejpam-6024	198	52	β	β	X
ejpam-6024	198	53	(	(	PUNCT
ejpam-6024	198	54	1−	1−	NUM
ejpam-6024	198	55	βγ	βγ	NOUN
ejpam-6024	198	56	−	−	PROPN
ejpam-6024	198	57	βρ)(1−	βρ)(1−	PROPN
ejpam-6024	198	58	βγ	βγ	PROPN
ejpam-6024	198	59	)	)	PUNCT
ejpam-6024	198	60	and	and	CCONJ
ejpam-6024	198	61	(	(	PUNCT
ejpam-6024	198	62	w	w	PROPN
ejpam-6024	198	63	(	(	PUNCT
ejpam-6024	198	64	t))t∈[0,1	t))t∈[0,1	NOUN
ejpam-6024	198	65	]	]	X
ejpam-6024	198	66	is	be	AUX
ejpam-6024	198	67	a	a	DET
ejpam-6024	198	68	gaussian	gaussian	ADJ
ejpam-6024	198	69	process	process	NOUN
ejpam-6024	198	70	with	with	ADP
ejpam-6024	198	71	covariance	covariance	NOUN
ejpam-6024	198	72	function	function	NOUN
ejpam-6024	198	73	r	r	NOUN
ejpam-6024	198	74	(	(	PUNCT
ejpam-6024	198	75	.	.	PUNCT
ejpam-6024	198	76	,	,	PUNCT
ejpam-6024	198	77	.	.	PUNCT
ejpam-6024	198	78	)	)	PUNCT
ejpam-6024	199	1	defined	define	VERB
ejpam-6024	199	2	in	in	ADP
ejpam-6024	199	3	(	(	PUNCT
ejpam-6024	199	4	cr	cr	NOUN
ejpam-6024	199	5	)	)	PUNCT
ejpam-6024	199	6	.	.	PUNCT
ejpam-6024	200	1	from	from	ADP
ejpam-6024	200	2	theorem	theorem	NOUN
ejpam-6024	200	3	1	1	NUM
ejpam-6024	200	4	,	,	PUNCT
ejpam-6024	200	5	we	we	PRON
ejpam-6024	200	6	deduce	deduce	VERB
ejpam-6024	200	7	in	in	ADP
ejpam-6024	200	8	the	the	DET
ejpam-6024	200	9	following	follow	VERB
ejpam-6024	200	10	corollary	corollary	NOUN
ejpam-6024	200	11	the	the	DET
ejpam-6024	200	12	asymptotic	asymptotic	ADJ
ejpam-6024	200	13	normality	normality	NOUN
ejpam-6024	200	14	of	of	ADP
ejpam-6024	200	15	the	the	DET
ejpam-6024	200	16	kernel	kernel	PROPN
ejpam-6024	200	17	estimator	estimator	NOUN
ejpam-6024	200	18	π̂	π̂	NUM
ejpam-6024	200	19	(	(	PUNCT
ejpam-6024	200	20	k	k	NOUN
ejpam-6024	200	21	)	)	PUNCT
ejpam-6024	200	22	β	β	NOUN
ejpam-6024	200	23	,	,	PUNCT
ejpam-6024	200	24	k	k	PROPN
ejpam-6024	200	25	,	,	PUNCT
ejpam-6024	200	26	n.	n.	NOUN
ejpam-6024	200	27	a.	a.	NOUN
ejpam-6024	200	28	aghrabatt	aghrabatt	PROPN
ejpam-6024	200	29	et	et	PROPN
ejpam-6024	200	30	al	al	PROPN
ejpam-6024	200	31	.	.	PUNCT
ejpam-6024	200	32	/	/	SYM
ejpam-6024	200	33	eur	eur	PROPN
ejpam-6024	200	34	.	.	PUNCT
ejpam-6024	201	1	j.	j.	PROPN
ejpam-6024	201	2	pure	pure	PROPN
ejpam-6024	201	3	appl	appl	PROPN
ejpam-6024	201	4	.	.	PROPN
ejpam-6024	201	5	math	math	PROPN
ejpam-6024	201	6	,	,	PUNCT
ejpam-6024	201	7	18	18	NUM
ejpam-6024	201	8	(	(	PUNCT
ejpam-6024	201	9	2	2	NUM
ejpam-6024	201	10	)	)	PUNCT
ejpam-6024	201	11	(	(	PUNCT
ejpam-6024	201	12	2025	2025	NUM
ejpam-6024	201	13	)	)	PUNCT
ejpam-6024	201	14	,	,	PUNCT
ejpam-6024	201	15	6024	6024	NUM
ejpam-6024	201	16	10	10	NUM
ejpam-6024	201	17	of	of	ADP
ejpam-6024	201	18	25	25	NUM
ejpam-6024	201	19	corollary	corollary	ADJ
ejpam-6024	201	20	1	1	NUM
ejpam-6024	201	21	.	.	PUNCT
ejpam-6024	202	1	under	under	ADP
ejpam-6024	202	2	the	the	DET
ejpam-6024	202	3	assum	assum	NOUN
ejpam-6024	202	4	ptions	ption	NOUN
ejpam-6024	202	5	of	of	ADP
ejpam-6024	202	6	theorem	theorem	NOUN
ejpam-6024	202	7	1	1	NUM
ejpam-6024	202	8	,	,	PUNCT
ejpam-6024	202	9	we	we	PRON
ejpam-6024	202	10	have	have	VERB
ejpam-6024	202	11	:	:	PUNCT
ejpam-6024	202	12	√	√	PROPN
ejpam-6024	202	13	k(π̂	k(π̂	NOUN
ejpam-6024	202	14	(	(	PUNCT
ejpam-6024	202	15	k	k	NOUN
ejpam-6024	202	16	)	)	PUNCT
ejpam-6024	202	17	β	β	NOUN
ejpam-6024	202	18	,	,	PUNCT
ejpam-6024	202	19	k	k	PROPN
ejpam-6024	202	20	,	,	PUNCT
ejpam-6024	202	21	n	n	CCONJ
ejpam-6024	202	22	−	−	PROPN
ejpam-6024	202	23	πβ	πβ	NOUN
ejpam-6024	202	24	,	,	PUNCT
ejpam-6024	202	25	n	n	CCONJ
ejpam-6024	202	26	)	)	PUNCT
ejpam-6024	202	27	gβ(k	gβ(k	X
ejpam-6024	202	28	/	/	SYM
ejpam-6024	202	29	n)q(1−	n)q(1−	PROPN
ejpam-6024	202	30	k	k	PROPN
ejpam-6024	202	31	/	/	SYM
ejpam-6024	202	32	n	n	CCONJ
ejpam-6024	202	33	)	)	PUNCT
ejpam-6024	202	34	d→	d→	PUNCT
ejpam-6024	202	35	n	n	X
ejpam-6024	202	36	(	(	PUNCT
ejpam-6024	202	37	λmk(γ	λmk(γ	PROPN
ejpam-6024	202	38	,	,	PUNCT
ejpam-6024	202	39	ρ	ρ	PROPN
ejpam-6024	202	40	,	,	PUNCT
ejpam-6024	202	41	β	β	NOUN
ejpam-6024	202	42	)	)	PUNCT
ejpam-6024	202	43	,	,	PUNCT
ejpam-6024	202	44	σ2	σ2	PROPN
ejpam-6024	202	45	k(γ	k(γ	PROPN
ejpam-6024	202	46	,	,	PUNCT
ejpam-6024	202	47	ρ	ρ	PROPN
ejpam-6024	202	48	,	,	PUNCT
ejpam-6024	202	49	β	β	NOUN
ejpam-6024	202	50	)	)	PUNCT
ejpam-6024	202	51	)	)	PUNCT
ejpam-6024	202	52	,	,	PUNCT
ejpam-6024	202	53	where	where	SCONJ
ejpam-6024	202	54	σ2	σ2	PROPN
ejpam-6024	202	55	k(γ	k(γ	PROPN
ejpam-6024	202	56	,	,	PUNCT
ejpam-6024	202	57	ρ	ρ	PROPN
ejpam-6024	202	58	,	,	PUNCT
ejpam-6024	202	59	β	β	NOUN
ejpam-6024	202	60	)	)	PUNCT
ejpam-6024	202	61	=	=	SYM
ejpam-6024	203	1	(	(	PUNCT
ejpam-6024	203	2	βγ)2	βγ)2	PROPN
ejpam-6024	203	3	(	(	PUNCT
ejpam-6024	203	4	1−	1−	NUM
ejpam-6024	203	5	β	β	X
ejpam-6024	203	6	γ)4	γ)4	VERB
ejpam-6024	204	1	∫∫	∫∫	ADV
ejpam-6024	204	2	[	[	X
ejpam-6024	204	3	0,1]2	0,1]2	NUM
ejpam-6024	204	4	(	(	PUNCT
ejpam-6024	204	5	r(t	r(t	NOUN
ejpam-6024	204	6	,	,	PUNCT
ejpam-6024	204	7	s	s	NOUN
ejpam-6024	204	8	)	)	PUNCT
ejpam-6024	204	9	ts	ts	ADP
ejpam-6024	204	10	−	−	PROPN
ejpam-6024	204	11	r(t	r(t	NOUN
ejpam-6024	204	12	,	,	PUNCT
ejpam-6024	204	13	1	1	NUM
ejpam-6024	204	14	)	)	PUNCT
ejpam-6024	204	15	t	t	NOUN
ejpam-6024	204	16	−	−	PROPN
ejpam-6024	204	17	r(1	r(1	PROPN
ejpam-6024	204	18	,	,	PUNCT
ejpam-6024	204	19	s	s	PART
ejpam-6024	204	20	)	)	PUNCT
ejpam-6024	204	21	s	s	PART
ejpam-6024	204	22	+	+	CCONJ
ejpam-6024	204	23	r(1	r(1	PROPN
ejpam-6024	204	24	,	,	PUNCT
ejpam-6024	204	25	1	1	NUM
ejpam-6024	204	26	)	)	PUNCT
ejpam-6024	204	27	)	)	PUNCT
ejpam-6024	204	28	d(sk(s))d(tk(t	d(sk(s))d(tk(t	NOUN
ejpam-6024	204	29	)	)	PUNCT
ejpam-6024	204	30	)	)	PUNCT
ejpam-6024	205	1	+	+	CCONJ
ejpam-6024	205	2	β2γ4	β2γ4	X
ejpam-6024	205	3	(	(	PUNCT
ejpam-6024	205	4	1−	1−	NUM
ejpam-6024	205	5	β	β	PROPN
ejpam-6024	205	6	γ)2	γ)2	PROPN
ejpam-6024	205	7	r(1	r(1	PROPN
ejpam-6024	205	8	,	,	PUNCT
ejpam-6024	205	9	1	1	NUM
ejpam-6024	205	10	)	)	PUNCT
ejpam-6024	205	11	+	+	NUM
ejpam-6024	205	12	2β2γ3	2β2γ3	NUM
ejpam-6024	205	13	(	(	PUNCT
ejpam-6024	205	14	1−	1−	NUM
ejpam-6024	205	15	β	β	X
ejpam-6024	205	16	γ)3	γ)3	PROPN
ejpam-6024	205	17	∫	∫	PROPN
ejpam-6024	205	18	1	1	NUM
ejpam-6024	205	19	0	0	NUM
ejpam-6024	205	20	(	(	PUNCT
ejpam-6024	205	21	r(t	r(t	NOUN
ejpam-6024	205	22	,	,	PUNCT
ejpam-6024	205	23	1	1	NUM
ejpam-6024	205	24	)	)	PUNCT
ejpam-6024	205	25	t	t	NOUN
ejpam-6024	205	26	−	−	PROPN
ejpam-6024	205	27	r(1	r(1	PROPN
ejpam-6024	205	28	,	,	PUNCT
ejpam-6024	205	29	1	1	NUM
ejpam-6024	205	30	)	)	PUNCT
ejpam-6024	205	31	)	)	PUNCT
ejpam-6024	205	32	d(tk(t	d(tk(t	PROPN
ejpam-6024	205	33	)	)	PUNCT
ejpam-6024	205	34	)	)	PUNCT
ejpam-6024	205	35	.	.	PUNCT
ejpam-6024	206	1	thus	thus	ADV
ejpam-6024	206	2	,	,	PUNCT
ejpam-6024	206	3	the	the	DET
ejpam-6024	206	4	corollary1	corollary1	NOUN
ejpam-6024	206	5	generalizes	generalize	VERB
ejpam-6024	206	6	theorem	theorem	VERB
ejpam-6024	206	7	1	1	NUM
ejpam-6024	206	8	in	in	ADP
ejpam-6024	206	9	[	[	X
ejpam-6024	206	10	17	17	NUM
ejpam-6024	206	11	]	]	PUNCT
ejpam-6024	206	12	in	in	ADP
ejpam-6024	206	13	the	the	DET
ejpam-6024	206	14	case	case	NOUN
ejpam-6024	206	15	λ	λ	X
ejpam-6024	206	16	̸=	̸=	PROPN
ejpam-6024	206	17	0	0	NUM
ejpam-6024	206	18	when	when	SCONJ
ejpam-6024	206	19	we	we	PRON
ejpam-6024	206	20	use	use	VERB
ejpam-6024	206	21	a	a	DET
ejpam-6024	206	22	general	general	ADJ
ejpam-6024	206	23	kernel	kernel	NOUN
ejpam-6024	206	24	function	function	PROPN
ejpam-6024	206	25	function	function	PROPN
ejpam-6024	206	26	k.	k.	PROPN
ejpam-6024	206	27	clearly	clearly	ADV
ejpam-6024	206	28	,	,	PUNCT
ejpam-6024	206	29	from	from	ADP
ejpam-6024	206	30	corollary	corollary	ADJ
ejpam-6024	206	31	1	1	NUM
ejpam-6024	206	32	,	,	PUNCT
ejpam-6024	206	33	the	the	DET
ejpam-6024	206	34	estimator	estimator	NOUN
ejpam-6024	206	35	π̂	π̂	NUM
ejpam-6024	206	36	(	(	PUNCT
ejpam-6024	206	37	k	k	NOUN
ejpam-6024	206	38	)	)	PUNCT
ejpam-6024	206	39	β	β	NOUN
ejpam-6024	206	40	,	,	PUNCT
ejpam-6024	206	41	k	k	PROPN
ejpam-6024	206	42	,	,	PUNCT
ejpam-6024	206	43	n	n	PRON
ejpam-6024	206	44	suffer	suffer	VERB
ejpam-6024	206	45	from	from	ADP
ejpam-6024	206	46	a	a	DET
ejpam-6024	206	47	high	high	ADJ
ejpam-6024	206	48	bias	bias	NOUN
ejpam-6024	206	49	due	due	ADP
ejpam-6024	206	50	to	to	ADP
ejpam-6024	206	51	the	the	DET
ejpam-6024	206	52	fact	fact	NOUN
ejpam-6024	206	53	that	that	SCONJ
ejpam-6024	206	54	its	its	PRON
ejpam-6024	206	55	depends	depend	VERB
ejpam-6024	206	56	to	to	ADP
ejpam-6024	206	57	kernel	kernel	PROPN
ejpam-6024	206	58	estimator	estimator	PROPN
ejpam-6024	206	59	γ̂	γ̂	PROPN
ejpam-6024	207	1	(	(	PUNCT
ejpam-6024	207	2	k	k	X
ejpam-6024	207	3	)	)	PUNCT
ejpam-6024	207	4	k	k	NOUN
ejpam-6024	207	5	,	,	PUNCT
ejpam-6024	207	6	which	which	PRON
ejpam-6024	207	7	from	from	ADP
ejpam-6024	207	8	(	(	PUNCT
ejpam-6024	207	9	17	17	NUM
ejpam-6024	207	10	)	)	PUNCT
ejpam-6024	207	11	as	as	ADP
ejpam-6024	207	12	the	the	DET
ejpam-6024	207	13	same	same	ADJ
ejpam-6024	207	14	problem	problem	NOUN
ejpam-6024	207	15	and	and	CCONJ
ejpam-6024	207	16	the	the	DET
ejpam-6024	207	17	bias	bias	NOUN
ejpam-6024	207	18	heavily	heavily	ADV
ejpam-6024	207	19	depends	depend	VERB
ejpam-6024	207	20	on	on	ADP
ejpam-6024	207	21	the	the	DET
ejpam-6024	207	22	intermediate	intermediate	ADJ
ejpam-6024	207	23	sequence	sequence	NOUN
ejpam-6024	207	24	,	,	PUNCT
ejpam-6024	207	25	making	make	VERB
ejpam-6024	207	26	the	the	DET
ejpam-6024	207	27	choice	choice	NOUN
ejpam-6024	207	28	of	of	ADP
ejpam-6024	207	29	k	k	X
ejpam-6024	207	30	difficult	difficult	ADJ
ejpam-6024	207	31	in	in	ADP
ejpam-6024	207	32	practice	practice	NOUN
ejpam-6024	207	33	.	.	PUNCT
ejpam-6024	208	1	in	in	ADP
ejpam-6024	208	2	the	the	DET
ejpam-6024	208	3	next	next	ADJ
ejpam-6024	208	4	section	section	NOUN
ejpam-6024	208	5	,	,	PUNCT
ejpam-6024	208	6	we	we	PRON
ejpam-6024	208	7	introduce	introduce	VERB
ejpam-6024	208	8	a	a	DET
ejpam-6024	208	9	bias	bias	NOUN
ejpam-6024	208	10	reduction	reduction	NOUN
ejpam-6024	208	11	estimator	estimator	NOUN
ejpam-6024	208	12	of	of	ADP
ejpam-6024	208	13	the	the	DET
ejpam-6024	208	14	distortion	distortion	NOUN
ejpam-6024	208	15	risk	risk	NOUN
ejpam-6024	208	16	premiums	premium	NOUN
ejpam-6024	208	17	under	under	ADP
ejpam-6024	208	18	dependence	dependence	NOUN
ejpam-6024	208	19	insured	insure	VERB
ejpam-6024	208	20	risks	risk	NOUN
ejpam-6024	208	21	.	.	PUNCT
ejpam-6024	209	1	3.2	3.2	NUM
ejpam-6024	209	2	.	.	PUNCT
ejpam-6024	210	1	reduced	reduce	VERB
ejpam-6024	210	2	bias	bias	NOUN
ejpam-6024	210	3	estimator	estimator	NOUN
ejpam-6024	210	4	for	for	ADP
ejpam-6024	210	5	πβ	πβ	NOUN
ejpam-6024	210	6	,	,	PUNCT
ejpam-6024	210	7	n	n	CCONJ
ejpam-6024	210	8	in	in	ADP
ejpam-6024	210	9	this	this	DET
ejpam-6024	210	10	section	section	NOUN
ejpam-6024	210	11	,	,	PUNCT
ejpam-6024	210	12	we	we	PRON
ejpam-6024	210	13	propose	propose	VERB
ejpam-6024	210	14	to	to	PART
ejpam-6024	210	15	substitute	substitute	VERB
ejpam-6024	210	16	in	in	ADP
ejpam-6024	210	17	the	the	DET
ejpam-6024	210	18	estimation	estimation	NOUN
ejpam-6024	210	19	of	of	ADP
ejpam-6024	210	20	the	the	DET
ejpam-6024	210	21	distortion	distortion	NOUN
ejpam-6024	210	22	risk	risk	NOUN
ejpam-6024	210	23	premium	premium	NOUN
ejpam-6024	210	24	πβ	πβ	NOUN
ejpam-6024	210	25	,	,	PUNCT
ejpam-6024	210	26	n	n	PRON
ejpam-6024	210	27	introduced	introduce	VERB
ejpam-6024	210	28	in	in	ADP
ejpam-6024	210	29	(	(	PUNCT
ejpam-6024	210	30	13	13	NUM
ejpam-6024	210	31	)	)	PUNCT
ejpam-6024	210	32	,	,	PUNCT
ejpam-6024	210	33	the	the	DET
ejpam-6024	210	34	class	class	NOUN
ejpam-6024	210	35	of	of	ADP
ejpam-6024	210	36	weissman	weissman	PROPN
ejpam-6024	210	37	’s	’s	PART
ejpam-6024	210	38	type	type	NOUN
ejpam-6024	210	39	estimator	estimator	NOUN
ejpam-6024	210	40	q̂	q̂	X
ejpam-6024	210	41	(	(	PUNCT
ejpam-6024	210	42	k	k	X
ejpam-6024	210	43	)	)	PUNCT
ejpam-6024	210	44	k	k	NOUN
ejpam-6024	210	45	defined	define	VERB
ejpam-6024	210	46	in	in	ADP
ejpam-6024	210	47	(	(	PUNCT
ejpam-6024	210	48	12	12	NUM
ejpam-6024	210	49	)	)	PUNCT
ejpam-6024	210	50	with	with	ADP
ejpam-6024	210	51	the	the	DET
ejpam-6024	210	52	asymptotically	asymptotically	ADV
ejpam-6024	210	53	unbiased	unbiased	ADJ
ejpam-6024	210	54	estimator	estimator	NOUN
ejpam-6024	210	55	of	of	ADP
ejpam-6024	210	56	the	the	DET
ejpam-6024	210	57	extreme	extreme	ADJ
ejpam-6024	210	58	quantile	quantile	NOUN
ejpam-6024	210	59	under	under	ADP
ejpam-6024	210	60	β	β	X
ejpam-6024	210	61	mixing	mixing	NOUN
ejpam-6024	210	62	times	times	PROPN
ejpam-6024	210	63	series	series	NOUN
ejpam-6024	210	64	studied	study	VERB
ejpam-6024	210	65	in[19	in[19	NOUN
ejpam-6024	210	66	]	]	PUNCT
ejpam-6024	210	67	.	.	PUNCT
ejpam-6024	211	1	next	next	ADJ
ejpam-6024	211	2	,	,	PUNCT
ejpam-6024	211	3	since	since	SCONJ
ejpam-6024	211	4	u(z	u(z	NOUN
ejpam-6024	211	5	)	)	PUNCT
ejpam-6024	211	6	=	=	SYM
ejpam-6024	211	7	q(1−	q(1−	NOUN
ejpam-6024	211	8	z−1	z−1	NUM
ejpam-6024	211	9	)	)	PUNCT
ejpam-6024	211	10	,	,	PUNCT
ejpam-6024	211	11	by	by	ADP
ejpam-6024	211	12	using	use	VERB
ejpam-6024	211	13	the	the	DET
ejpam-6024	211	14	second	second	ADJ
ejpam-6024	211	15	order	order	NOUN
ejpam-6024	211	16	condition	condition	NOUN
ejpam-6024	211	17	(	(	PUNCT
ejpam-6024	211	18	cso	cso	PROPN
ejpam-6024	211	19	)	)	PUNCT
ejpam-6024	211	20	,	,	PUNCT
ejpam-6024	211	21	the	the	DET
ejpam-6024	211	22	following	follow	VERB
ejpam-6024	211	23	approximation	approximation	NOUN
ejpam-6024	211	24	holds	hold	VERB
ejpam-6024	211	25	:	:	PUNCT
ejpam-6024	211	26	q(1−	q(1−	PROPN
ejpam-6024	211	27	s	s	PART
ejpam-6024	211	28	)	)	PUNCT
ejpam-6024	212	1	≈	≈	PROPN
ejpam-6024	212	2	(	(	PUNCT
ejpam-6024	212	3	ns	ns	PROPN
ejpam-6024	212	4	k	k	NOUN
ejpam-6024	212	5	)	)	PUNCT
ejpam-6024	212	6	−γ	−γ	NOUN
ejpam-6024	212	7	q(1−	q(1−	NOUN
ejpam-6024	212	8	k	k	NOUN
ejpam-6024	212	9	/	/	SYM
ejpam-6024	212	10	n	n	CCONJ
ejpam-6024	212	11	)	)	PUNCT
ejpam-6024	212	12	{	{	PUNCT
ejpam-6024	212	13	1−	1−	NUM
ejpam-6024	212	14	a(n	a(n	NOUN
ejpam-6024	212	15	/	/	SYM
ejpam-6024	212	16	k	k	NOUN
ejpam-6024	212	17	)	)	PUNCT
ejpam-6024	212	18	ρ	ρ	PROPN
ejpam-6024	212	19	[	[	PUNCT
ejpam-6024	212	20	1−	1−	NUM
ejpam-6024	212	21	(	(	PUNCT
ejpam-6024	212	22	ns	ns	NUM
ejpam-6024	212	23	k	k	NOUN
ejpam-6024	212	24	)	)	PUNCT
ejpam-6024	212	25	−ρ	−ρ	NOUN
ejpam-6024	212	26	]	]	PUNCT
ejpam-6024	212	27	}	}	PUNCT
ejpam-6024	212	28	,	,	PUNCT
ejpam-6024	212	29	s	s	X
ejpam-6024	212	30	→	→	SYM
ejpam-6024	212	31	0	0	NUM
ejpam-6024	212	32	,	,	PUNCT
ejpam-6024	212	33	(	(	PUNCT
ejpam-6024	212	34	18	18	NUM
ejpam-6024	212	35	)	)	PUNCT
ejpam-6024	212	36	where	where	SCONJ
ejpam-6024	212	37	γ	γ	X
ejpam-6024	212	38	,	,	PUNCT
ejpam-6024	212	39	a	a	PRON
ejpam-6024	212	40	(	(	PUNCT
ejpam-6024	212	41	·	·	PUNCT
ejpam-6024	212	42	)	)	PUNCT
ejpam-6024	212	43	and	and	CCONJ
ejpam-6024	212	44	ρ	ρ	PROPN
ejpam-6024	212	45	are	be	AUX
ejpam-6024	212	46	unknown	unknown	ADJ
ejpam-6024	212	47	.	.	PUNCT
ejpam-6024	213	1	the	the	DET
ejpam-6024	213	2	first	first	ADJ
ejpam-6024	213	3	part	part	NOUN
ejpam-6024	213	4	(	(	PUNCT
ejpam-6024	213	5	n	n	CCONJ
ejpam-6024	213	6	k	k	PROPN
ejpam-6024	213	7	s	s	PART
ejpam-6024	213	8	)	)	PUNCT
ejpam-6024	213	9	−γ	−γ	ADJ
ejpam-6024	213	10	q(1	q(1	PROPN
ejpam-6024	213	11	−	−	PROPN
ejpam-6024	213	12	k	k	NOUN
ejpam-6024	213	13	/	/	SYM
ejpam-6024	213	14	n	n	CCONJ
ejpam-6024	213	15	)	)	PUNCT
ejpam-6024	213	16	in	in	ADP
ejpam-6024	213	17	the	the	DET
ejpam-6024	213	18	right	right	ADJ
ejpam-6024	213	19	side	side	NOUN
ejpam-6024	213	20	of	of	ADP
ejpam-6024	213	21	(	(	PUNCT
ejpam-6024	213	22	18	18	NUM
ejpam-6024	213	23	)	)	PUNCT
ejpam-6024	213	24	is	be	AUX
ejpam-6024	213	25	exactly	exactly	ADV
ejpam-6024	213	26	estimated	estimate	VERB
ejpam-6024	213	27	by	by	ADP
ejpam-6024	213	28	the	the	DET
ejpam-6024	213	29	weissman	weissman	PROPN
ejpam-6024	213	30	’s	’s	PART
ejpam-6024	213	31	type	type	NOUN
ejpam-6024	213	32	estimator	estimator	NOUN
ejpam-6024	213	33	q̂	q̂	X
ejpam-6024	213	34	(	(	PUNCT
ejpam-6024	213	35	k	k	X
ejpam-6024	213	36	)	)	PUNCT
ejpam-6024	213	37	k	k	NOUN
ejpam-6024	213	38	(	(	PUNCT
ejpam-6024	213	39	1	1	NUM
ejpam-6024	213	40	−	−	PROPN
ejpam-6024	213	41	s	s	NOUN
ejpam-6024	213	42	)	)	PUNCT
ejpam-6024	213	43	and	and	CCONJ
ejpam-6024	213	44	defined	define	VERB
ejpam-6024	213	45	in	in	ADP
ejpam-6024	213	46	(	(	PUNCT
ejpam-6024	213	47	12	12	NUM
ejpam-6024	213	48	)	)	PUNCT
ejpam-6024	213	49	.	.	PUNCT
ejpam-6024	214	1	clearly	clearly	ADV
ejpam-6024	214	2	,	,	PUNCT
ejpam-6024	214	3	the	the	DET
ejpam-6024	214	4	estimator	estimator	NOUN
ejpam-6024	214	5	q̂	q̂	X
ejpam-6024	214	6	(	(	PUNCT
ejpam-6024	214	7	k	k	X
ejpam-6024	214	8	)	)	PUNCT
ejpam-6024	214	9	k	k	NOUN
ejpam-6024	214	10	exhibits	exhibit	VERB
ejpam-6024	214	11	a	a	DET
ejpam-6024	214	12	potential	potential	ADJ
ejpam-6024	214	13	bias	bias	NOUN
ejpam-6024	214	14	because	because	SCONJ
ejpam-6024	214	15	it	it	PRON
ejpam-6024	214	16	depends	depend	VERB
ejpam-6024	214	17	on	on	ADP
ejpam-6024	214	18	the	the	DET
ejpam-6024	214	19	kernel	kernel	PROPN
ejpam-6024	214	20	type	type	PROPN
ejpam-6024	214	21	estimator	estimator	NOUN
ejpam-6024	214	22	γ̂	γ̂	PROPN
ejpam-6024	215	1	(	(	PUNCT
ejpam-6024	215	2	k	k	X
ejpam-6024	215	3	)	)	PUNCT
ejpam-6024	215	4	k	k	NOUN
ejpam-6024	215	5	of	of	ADP
ejpam-6024	215	6	the	the	DET
ejpam-6024	215	7	tail	tail	NOUN
ejpam-6024	215	8	index	index	NOUN
ejpam-6024	215	9	γ	γ	PROPN
ejpam-6024	215	10	,	,	PUNCT
ejpam-6024	215	11	which	which	PRON
ejpam-6024	215	12	from	from	ADP
ejpam-6024	215	13	(	(	PUNCT
ejpam-6024	215	14	17	17	NUM
ejpam-6024	215	15	)	)	PUNCT
ejpam-6024	215	16	has	have	VERB
ejpam-6024	215	17	such	such	ADJ
ejpam-6024	215	18	problem	problem	NOUN
ejpam-6024	215	19	.	.	PUNCT
ejpam-6024	216	1	the	the	DET
ejpam-6024	216	2	expression	expression	NOUN
ejpam-6024	216	3	1	1	NUM
ejpam-6024	216	4	−	−	NOUN
ejpam-6024	216	5	ρ−1a(n	ρ−1a(n	ADV
ejpam-6024	216	6	/	/	SYM
ejpam-6024	216	7	k)[1	k)[1	ADP
ejpam-6024	216	8	−	−	PROPN
ejpam-6024	216	9	(	(	PUNCT
ejpam-6024	216	10	ns	ns	PROPN
ejpam-6024	216	11	k	k	NOUN
ejpam-6024	216	12	)	)	PUNCT
ejpam-6024	216	13	−ρ	−ρ	NOUN
ejpam-6024	216	14	]	]	PUNCT
ejpam-6024	216	15	can	can	AUX
ejpam-6024	216	16	be	be	AUX
ejpam-6024	216	17	viewed	view	VERB
ejpam-6024	216	18	as	as	ADP
ejpam-6024	216	19	a	a	DET
ejpam-6024	216	20	correcting	correct	VERB
ejpam-6024	216	21	term	term	NOUN
ejpam-6024	216	22	since	since	SCONJ
ejpam-6024	216	23	a(n	a(n	PROPN
ejpam-6024	216	24	/	/	SYM
ejpam-6024	216	25	k	k	NOUN
ejpam-6024	216	26	)	)	PUNCT
ejpam-6024	216	27	tends	tend	VERB
ejpam-6024	216	28	to	to	ADP
ejpam-6024	216	29	0	0	NUM
ejpam-6024	216	30	.	.	PUNCT
ejpam-6024	217	1	this	this	PRON
ejpam-6024	217	2	leads	lead	VERB
ejpam-6024	217	3	to	to	ADP
ejpam-6024	217	4	the	the	DET
ejpam-6024	217	5	necessity	necessity	NOUN
ejpam-6024	217	6	to	to	PART
ejpam-6024	217	7	find	find	VERB
ejpam-6024	217	8	good	good	ADJ
ejpam-6024	217	9	estimators	estimator	NOUN
ejpam-6024	217	10	for	for	ADP
ejpam-6024	217	11	γ	γ	NOUN
ejpam-6024	217	12	,	,	PUNCT
ejpam-6024	217	13	a(n	a(n	NOUN
ejpam-6024	217	14	/	/	SYM
ejpam-6024	217	15	kn	kn	PROPN
ejpam-6024	217	16	)	)	PUNCT
ejpam-6024	217	17	and	and	CCONJ
ejpam-6024	217	18	ρ	ρ	NUM
ejpam-6024	217	19	.	.	PUNCT
ejpam-6024	218	1	according	accord	VERB
ejpam-6024	218	2	to	to	ADP
ejpam-6024	218	3	[	[	X
ejpam-6024	218	4	19	19	NUM
ejpam-6024	218	5	]	]	PUNCT
ejpam-6024	218	6	,	,	PUNCT
ejpam-6024	218	7	to	to	PART
ejpam-6024	218	8	introduce	introduce	VERB
ejpam-6024	218	9	an	an	DET
ejpam-6024	218	10	asymptotically	asymptotically	ADV
ejpam-6024	218	11	unbiased	unbiased	ADJ
ejpam-6024	218	12	estimator	estimator	NOUN
ejpam-6024	218	13	for	for	ADP
ejpam-6024	218	14	γ	γ	PROPN
ejpam-6024	218	15	,	,	PUNCT
ejpam-6024	218	16	one	one	PRON
ejpam-6024	218	17	can	can	AUX
ejpam-6024	218	18	consider	consider	VERB
ejpam-6024	218	19	two	two	NUM
ejpam-6024	218	20	kernel	kernel	NOUN
ejpam-6024	218	21	functions	function	NOUN
ejpam-6024	218	22	k1	k1	NOUN
ejpam-6024	218	23	and	and	CCONJ
ejpam-6024	218	24	k2	k2	ADJ
ejpam-6024	218	25	satisfying	satisfying	NOUN
ejpam-6024	218	26	(	(	PUNCT
ejpam-6024	218	27	k	k	NOUN
ejpam-6024	218	28	)	)	PUNCT
ejpam-6024	218	29	and	and	CCONJ
ejpam-6024	218	30	to	to	PART
ejpam-6024	218	31	define	define	VERB
ejpam-6024	218	32	a	a	DET
ejpam-6024	218	33	mixture	mixture	NOUN
ejpam-6024	218	34	of	of	ADP
ejpam-6024	218	35	them	they	PRON
ejpam-6024	218	36	in	in	ADP
ejpam-6024	218	37	a.	a.	NOUN
ejpam-6024	218	38	aghrabatt	aghrabatt	PROPN
ejpam-6024	218	39	et	et	PROPN
ejpam-6024	218	40	al	al	PROPN
ejpam-6024	218	41	.	.	PUNCT
ejpam-6024	218	42	/	/	SYM
ejpam-6024	218	43	eur	eur	PROPN
ejpam-6024	218	44	.	.	PUNCT
ejpam-6024	219	1	j.	j.	PROPN
ejpam-6024	219	2	pure	pure	PROPN
ejpam-6024	219	3	appl	appl	PROPN
ejpam-6024	219	4	.	.	PROPN
ejpam-6024	219	5	math	math	PROPN
ejpam-6024	219	6	,	,	PUNCT
ejpam-6024	219	7	18	18	NUM
ejpam-6024	219	8	(	(	PUNCT
ejpam-6024	219	9	2	2	NUM
ejpam-6024	219	10	)	)	PUNCT
ejpam-6024	219	11	(	(	PUNCT
ejpam-6024	219	12	2025	2025	NUM
ejpam-6024	219	13	)	)	PUNCT
ejpam-6024	219	14	,	,	PUNCT
ejpam-6024	219	15	6024	6024	NUM
ejpam-6024	219	16	11	11	NUM
ejpam-6024	219	17	of	of	ADP
ejpam-6024	219	18	25	25	NUM
ejpam-6024	219	19	the	the	DET
ejpam-6024	219	20	form	form	NOUN
ejpam-6024	219	21	k∆	k∆	PROPN
ejpam-6024	219	22	(	(	PUNCT
ejpam-6024	219	23	s	s	NOUN
ejpam-6024	219	24	)	)	PUNCT
ejpam-6024	219	25	=	=	SYM
ejpam-6024	220	1	∆k1	∆k1	NOUN
ejpam-6024	220	2	(	(	PUNCT
ejpam-6024	220	3	s	s	NOUN
ejpam-6024	220	4	)	)	PUNCT
ejpam-6024	220	5	+	+	CCONJ
ejpam-6024	220	6	(	(	PUNCT
ejpam-6024	220	7	1−∆)k2	1−∆)k2	NUM
ejpam-6024	220	8	(	(	PUNCT
ejpam-6024	220	9	s	s	NOUN
ejpam-6024	220	10	)	)	PUNCT
ejpam-6024	220	11	,	,	PUNCT
ejpam-6024	220	12	for	for	ADP
ejpam-6024	220	13	∆	∆	PROPN
ejpam-6024	220	14	∈	∈	PROPN
ejpam-6024	220	15	r.	r.	PROPN
ejpam-6024	220	16	clearly	clearly	ADV
ejpam-6024	220	17	k∆	k∆	PROPN
ejpam-6024	220	18	also	also	ADV
ejpam-6024	220	19	satisfies	satisfy	VERB
ejpam-6024	220	20	the	the	DET
ejpam-6024	220	21	condition	condition	NOUN
ejpam-6024	220	22	(	(	PUNCT
ejpam-6024	220	23	k	k	NOUN
ejpam-6024	220	24	)	)	PUNCT
ejpam-6024	220	25	and	and	CCONJ
ejpam-6024	220	26	hence	hence	ADV
ejpam-6024	220	27	by	by	ADP
ejpam-6024	220	28	the	the	DET
ejpam-6024	220	29	result	result	NOUN
ejpam-6024	220	30	given	give	VERB
ejpam-6024	220	31	in	in	ADP
ejpam-6024	220	32	(	(	PUNCT
ejpam-6024	220	33	16	16	NUM
ejpam-6024	220	34	)	)	PUNCT
ejpam-6024	220	35	,	,	PUNCT
ejpam-6024	220	36	the	the	DET
ejpam-6024	220	37	asymptotic	asymptotic	ADJ
ejpam-6024	220	38	bias	bias	NOUN
ejpam-6024	220	39	λ	λ	X
ejpam-6024	220	40	∫	∫	PROPN
ejpam-6024	220	41	1	1	NUM
ejpam-6024	220	42	0	0	NUM
ejpam-6024	220	43	s−ρk∆(s)ds	s−ρk∆(s)ds	PROPN
ejpam-6024	220	44	of	of	ADP
ejpam-6024	220	45	γ̂	γ̂	PROPN
ejpam-6024	220	46	(	(	PUNCT
ejpam-6024	220	47	k∆	k∆	PROPN
ejpam-6024	220	48	)	)	PUNCT
ejpam-6024	221	1	k	k	PROPN
ejpam-6024	221	2	is	be	AUX
ejpam-6024	221	3	such	such	ADJ
ejpam-6024	221	4	that	that	SCONJ
ejpam-6024	221	5	λ	λ	PROPN
ejpam-6024	221	6	∫	∫	PROPN
ejpam-6024	221	7	1	1	NUM
ejpam-6024	221	8	0	0	NUM
ejpam-6024	221	9	s−ρk∆(s)ds	s−ρk∆(s)ds	PROPN
ejpam-6024	221	10	=	=	PUNCT
ejpam-6024	221	11	λ∆	λ∆	NOUN
ejpam-6024	221	12	∫	∫	PROPN
ejpam-6024	221	13	1	1	NUM
ejpam-6024	221	14	0	0	NUM
ejpam-6024	221	15	s−ρk1(s)ds+	s−ρk1(s)ds+	NOUN
ejpam-6024	221	16	λ(1−∆	λ(1−∆	NOUN
ejpam-6024	221	17	)	)	PUNCT
ejpam-6024	221	18	∫	∫	PROPN
ejpam-6024	221	19	1	1	NUM
ejpam-6024	221	20	0	0	NUM
ejpam-6024	221	21	s−ρk2(s)ds	s−ρk2(s)d	NOUN
ejpam-6024	221	22	.	.	PUNCT
ejpam-6024	222	1	equating	equate	VERB
ejpam-6024	222	2	the	the	DET
ejpam-6024	222	3	right	right	ADJ
ejpam-6024	222	4	-	-	PUNCT
ejpam-6024	222	5	hand	hand	NOUN
ejpam-6024	222	6	side	side	NOUN
ejpam-6024	222	7	of	of	ADP
ejpam-6024	222	8	the	the	DET
ejpam-6024	222	9	above	above	ADJ
ejpam-6024	222	10	equation	equation	NOUN
ejpam-6024	222	11	to	to	ADP
ejpam-6024	222	12	zero	zero	NUM
ejpam-6024	222	13	leads	lead	VERB
ejpam-6024	222	14	to	to	ADP
ejpam-6024	222	15	the	the	DET
ejpam-6024	222	16	value	value	NOUN
ejpam-6024	222	17	of	of	ADP
ejpam-6024	222	18	eliminating	eliminate	VERB
ejpam-6024	222	19	the	the	DET
ejpam-6024	222	20	asymptotic	asymptotic	ADJ
ejpam-6024	222	21	bias	bias	NOUN
ejpam-6024	222	22	∆∗	∆∗	NOUN
ejpam-6024	222	23	=	=	PUNCT
ejpam-6024	222	24	∫	∫	PROPN
ejpam-6024	222	25	1	1	NUM
ejpam-6024	222	26	0	0	NUM
ejpam-6024	222	27	s−ρk2(s)ds∫	s−ρk2(s)ds∫	NUM
ejpam-6024	222	28	1	1	NUM
ejpam-6024	222	29	0	0	NUM
ejpam-6024	222	30	s−ρ	s−ρ	NOUN
ejpam-6024	222	31	{	{	PUNCT
ejpam-6024	222	32	k2(s)−k1(s	k2(s)−k1(s	NOUN
ejpam-6024	222	33	)	)	PUNCT
ejpam-6024	222	34	}	}	PUNCT
ejpam-6024	222	35	ds	ds	X
ejpam-6024	222	36	,	,	PUNCT
ejpam-6024	222	37	(	(	PUNCT
ejpam-6024	222	38	19	19	NUM
ejpam-6024	222	39	)	)	PUNCT
ejpam-6024	222	40	provided	provide	VERB
ejpam-6024	222	41	∫	∫	PROPN
ejpam-6024	222	42	1	1	NUM
ejpam-6024	222	43	0	0	NUM
ejpam-6024	222	44	s−ρ	s−ρ	NOUN
ejpam-6024	222	45	{	{	PUNCT
ejpam-6024	222	46	k2(s)−k1(s	k2(s)−k1(s	NOUN
ejpam-6024	222	47	)	)	PUNCT
ejpam-6024	222	48	}	}	PUNCT
ejpam-6024	223	1	ds	ds	PRON
ejpam-6024	223	2	̸=	̸=	PROPN
ejpam-6024	223	3	0	0	NUM
ejpam-6024	223	4	.	.	PUNCT
ejpam-6024	224	1	clearly	clearly	ADV
ejpam-6024	224	2	,	,	PUNCT
ejpam-6024	224	3	the	the	DET
ejpam-6024	224	4	tail	tail	NOUN
ejpam-6024	224	5	index	index	NOUN
ejpam-6024	224	6	estimator	estimator	NOUN
ejpam-6024	224	7	γ̂	γ̂	PROPN
ejpam-6024	224	8	(	(	PUNCT
ejpam-6024	224	9	k∆∗	k∆∗	PROPN
ejpam-6024	224	10	)	)	PUNCT
ejpam-6024	224	11	n	n	CCONJ
ejpam-6024	224	12	,	,	PUNCT
ejpam-6024	224	13	k	k	PROPN
ejpam-6024	224	14	is	be	AUX
ejpam-6024	224	15	shown	show	VERB
ejpam-6024	224	16	to	to	PART
ejpam-6024	224	17	be	be	AUX
ejpam-6024	224	18	asymptotically	asymptotically	ADV
ejpam-6024	224	19	unbiased	unbiased	ADJ
ejpam-6024	224	20	in	in	ADP
ejpam-6024	224	21	the	the	DET
ejpam-6024	224	22	sense	sense	NOUN
ejpam-6024	224	23	that	that	SCONJ
ejpam-6024	224	24	the	the	DET
ejpam-6024	224	25	mean	mean	NOUN
ejpam-6024	224	26	of	of	ADP
ejpam-6024	224	27	its	its	PRON
ejpam-6024	224	28	limiting	limit	VERB
ejpam-6024	224	29	distribution	distribution	NOUN
ejpam-6024	224	30	is	be	AUX
ejpam-6024	224	31	zero	zero	NUM
ejpam-6024	224	32	,	,	PUNCT
ejpam-6024	224	33	whatever	whatever	PRON
ejpam-6024	224	34	the	the	DET
ejpam-6024	224	35	value	value	NOUN
ejpam-6024	224	36	of	of	ADP
ejpam-6024	224	37	λ	λ	NOUN
ejpam-6024	224	38	.	.	PUNCT
ejpam-6024	225	1	more	more	ADV
ejpam-6024	225	2	precisely	precisely	ADV
ejpam-6024	225	3	,	,	PUNCT
ejpam-6024	225	4	we	we	PRON
ejpam-6024	225	5	have	have	VERB
ejpam-6024	225	6	from	from	ADP
ejpam-6024	225	7	(	(	PUNCT
ejpam-6024	225	8	17	17	NUM
ejpam-6024	225	9	):	):	PUNCT
ejpam-6024	225	10	k1/2	k1/2	NOUN
ejpam-6024	225	11	(	(	PUNCT
ejpam-6024	225	12	γ̂	γ̂	X
ejpam-6024	225	13	(	(	PUNCT
ejpam-6024	225	14	k∆∗	k∆∗	PROPN
ejpam-6024	225	15	)	)	PUNCT
ejpam-6024	226	1	k	k	NOUN
ejpam-6024	226	2	−	−	PROPN
ejpam-6024	226	3	γ	γ	X
ejpam-6024	226	4	)	)	PUNCT
ejpam-6024	226	5	d→	d→	VERB
ejpam-6024	226	6	n	n	PROPN
ejpam-6024	226	7	(	(	PUNCT
ejpam-6024	226	8	0,avk∆∗	0,avk∆∗	PROPN
ejpam-6024	226	9	(	(	PUNCT
ejpam-6024	226	10	γ	γ	NOUN
ejpam-6024	226	11	)	)	PUNCT
ejpam-6024	226	12	)	)	PUNCT
ejpam-6024	226	13	.	.	PUNCT
ejpam-6024	227	1	(	(	PUNCT
ejpam-6024	227	2	20	20	NUM
ejpam-6024	227	3	)	)	PUNCT
ejpam-6024	227	4	among	among	ADP
ejpam-6024	227	5	this	this	DET
ejpam-6024	227	6	class	class	NOUN
ejpam-6024	227	7	of	of	ADP
ejpam-6024	227	8	unbiased	unbiased	ADJ
ejpam-6024	227	9	estimators	estimator	NOUN
ejpam-6024	227	10	γ̂	γ̂	PUNCT
ejpam-6024	227	11	(	(	PUNCT
ejpam-6024	227	12	k∆∗	k∆∗	PROPN
ejpam-6024	227	13	)	)	PUNCT
ejpam-6024	227	14	n	n	CCONJ
ejpam-6024	227	15	,	,	PUNCT
ejpam-6024	227	16	k	k	X
ejpam-6024	227	17	,	,	PUNCT
ejpam-6024	227	18	[	[	X
ejpam-6024	227	19	19	19	NUM
ejpam-6024	227	20	]	]	PUNCT
ejpam-6024	227	21	found	find	VERB
ejpam-6024	227	22	an	an	DET
ejpam-6024	227	23	estimator	estimator	NOUN
ejpam-6024	227	24	with	with	ADP
ejpam-6024	227	25	minimum	minimum	ADJ
ejpam-6024	227	26	variance	variance	NOUN
ejpam-6024	227	27	.	.	PUNCT
ejpam-6024	228	1	according	accord	VERB
ejpam-6024	228	2	to	to	ADP
ejpam-6024	228	3	these	these	DET
ejpam-6024	228	4	authors	author	NOUN
ejpam-6024	228	5	,	,	PUNCT
ejpam-6024	228	6	the	the	DET
ejpam-6024	228	7	minimum	minimum	NOUN
ejpam-6024	228	8	of	of	ADP
ejpam-6024	228	9	the	the	DET
ejpam-6024	228	10	asymptotic	asymptotic	ADJ
ejpam-6024	228	11	variance	variance	NOUN
ejpam-6024	228	12	avk∆∗	avk∆∗	PROPN
ejpam-6024	228	13	(	(	PUNCT
ejpam-6024	228	14	γ	γ	X
ejpam-6024	228	15	)	)	PUNCT
ejpam-6024	228	16	is	be	AUX
ejpam-6024	228	17	obtained	obtain	VERB
ejpam-6024	228	18	at	at	ADP
ejpam-6024	228	19	the	the	DET
ejpam-6024	228	20	“	"	PUNCT
ejpam-6024	228	21	optimal	optimal	ADJ
ejpam-6024	228	22	”	"	PUNCT
ejpam-6024	228	23	function	function	NOUN
ejpam-6024	228	24	given	give	VERB
ejpam-6024	228	25	by	by	ADP
ejpam-6024	228	26	:	:	PUNCT
ejpam-6024	228	27	k∆∗opt	k∆∗opt	X
ejpam-6024	228	28	(	(	PUNCT
ejpam-6024	228	29	s	s	X
ejpam-6024	228	30	)	)	PUNCT
ejpam-6024	228	31	=	=	SYM
ejpam-6024	228	32	(	(	PUNCT
ejpam-6024	228	33	1−	1−	NUM
ejpam-6024	228	34	ρ	ρ	NUM
ejpam-6024	228	35	ρ	ρ	PROPN
ejpam-6024	228	36	)	)	PUNCT
ejpam-6024	228	37	2	2	NUM
ejpam-6024	228	38	−	−	PROPN
ejpam-6024	228	39	(	(	PUNCT
ejpam-6024	228	40	1−	1−	NUM
ejpam-6024	228	41	ρ	ρ	NUM
ejpam-6024	228	42	)	)	PUNCT
ejpam-6024	228	43	(	(	PUNCT
ejpam-6024	228	44	1−	1−	NUM
ejpam-6024	228	45	2ρ	2ρ	NOUN
ejpam-6024	228	46	)	)	PUNCT
ejpam-6024	228	47	ρ2	ρ2	NOUN
ejpam-6024	228	48	s−ρ	s−ρ	NOUN
ejpam-6024	228	49	,	,	PUNCT
ejpam-6024	228	50	for	for	ADP
ejpam-6024	228	51	s	s	PROPN
ejpam-6024	228	52	∈	∈	PROPN
ejpam-6024	228	53	(	(	PUNCT
ejpam-6024	228	54	0	0	NUM
ejpam-6024	228	55	,	,	PUNCT
ejpam-6024	228	56	1	1	NUM
ejpam-6024	228	57	)	)	PUNCT
ejpam-6024	228	58	,	,	PUNCT
ejpam-6024	228	59	(	(	PUNCT
ejpam-6024	228	60	21	21	NUM
ejpam-6024	228	61	)	)	PUNCT
ejpam-6024	228	62	and	and	CCONJ
ejpam-6024	228	63	k∆∗opt	k∆∗opt	PROPN
ejpam-6024	228	64	(	(	PUNCT
ejpam-6024	228	65	s	s	X
ejpam-6024	228	66	)	)	PUNCT
ejpam-6024	228	67	=	=	SYM
ejpam-6024	228	68	0	0	PUNCT
ejpam-6024	229	1	otherwise	otherwise	ADV
ejpam-6024	229	2	.	.	PUNCT
ejpam-6024	230	1	note	note	VERB
ejpam-6024	230	2	that	that	SCONJ
ejpam-6024	230	3	this	this	DET
ejpam-6024	230	4	unction	unction	NOUN
ejpam-6024	230	5	can	can	AUX
ejpam-6024	230	6	be	be	AUX
ejpam-6024	230	7	viewed	view	VERB
ejpam-6024	230	8	as	as	ADP
ejpam-6024	230	9	a	a	DET
ejpam-6024	230	10	mixture	mixture	NOUN
ejpam-6024	230	11	between	between	ADP
ejpam-6024	230	12	two	two	NUM
ejpam-6024	230	13	power	power	NOUN
ejpam-6024	230	14	kernels	kernel	NOUN
ejpam-6024	230	15	:	:	PUNCT
ejpam-6024	230	16	k1(s	k1(s	NOUN
ejpam-6024	230	17	)	)	PUNCT
ejpam-6024	230	18	:	:	PUNCT
ejpam-6024	230	19	=	=	SYM
ejpam-6024	230	20	k(s	k(s	PROPN
ejpam-6024	230	21	)	)	PUNCT
ejpam-6024	230	22	=	=	SYM
ejpam-6024	231	1	i(0	i(0	PROPN
ejpam-6024	231	2	<	<	NOUN
ejpam-6024	231	3	s<1	s<1	NOUN
ejpam-6024	231	4	)	)	PUNCT
ejpam-6024	231	5	and	and	CCONJ
ejpam-6024	231	6	k2(s	k2(s	NOUN
ejpam-6024	231	7	)	)	PUNCT
ejpam-6024	231	8	:	:	PUNCT
ejpam-6024	232	1	=	=	PUNCT
ejpam-6024	232	2	k2,ρ(s	k2,ρ(s	PROPN
ejpam-6024	232	3	)	)	PUNCT
ejpam-6024	232	4	:	:	PUNCT
ejpam-6024	233	1	=	=	SYM
ejpam-6024	233	2	(	(	PUNCT
ejpam-6024	233	3	1−	1−	NUM
ejpam-6024	233	4	ρ	ρ	NOUN
ejpam-6024	233	5	)	)	PUNCT
ejpam-6024	233	6	s−ρi(0	s−ρi(0	PROPN
ejpam-6024	233	7	<	<	X
ejpam-6024	233	8	s<1	s<1	NOUN
ejpam-6024	233	9	)	)	PUNCT
ejpam-6024	233	10	and	and	CCONJ
ejpam-6024	233	11	∆∗	∆∗	NOUN
ejpam-6024	233	12	=	=	PUNCT
ejpam-6024	233	13	(	(	PUNCT
ejpam-6024	233	14	1	1	NUM
ejpam-6024	233	15	−	−	NOUN
ejpam-6024	233	16	ρ)2	ρ)2	PROPN
ejpam-6024	233	17	/	/	SYM
ejpam-6024	233	18	ρ2	ρ2	NOUN
ejpam-6024	233	19	is	be	AUX
ejpam-6024	233	20	as	as	ADP
ejpam-6024	233	21	in	in	ADP
ejpam-6024	233	22	(	(	PUNCT
ejpam-6024	233	23	19	19	NUM
ejpam-6024	233	24	)	)	PUNCT
ejpam-6024	233	25	.	.	PUNCT
ejpam-6024	234	1	in	in	ADP
ejpam-6024	234	2	that	that	DET
ejpam-6024	234	3	case	case	NOUN
ejpam-6024	234	4	,	,	PUNCT
ejpam-6024	234	5	the	the	DET
ejpam-6024	234	6	minimal	minimal	ADJ
ejpam-6024	234	7	variance	variance	NOUN
ejpam-6024	234	8	γ2	γ2	PROPN
ejpam-6024	234	9	∫	∫	PROPN
ejpam-6024	234	10	1	1	NUM
ejpam-6024	234	11	0	0	NUM
ejpam-6024	234	12	k2	k2	PROPN
ejpam-6024	234	13	∆∗opt	∆∗opt	PROPN
ejpam-6024	234	14	(	(	PUNCT
ejpam-6024	234	15	s)ds	s)ds	PROPN
ejpam-6024	234	16	equals	equal	VERB
ejpam-6024	234	17	to	to	ADP
ejpam-6024	234	18	γ2(1−	γ2(1−	ADV
ejpam-6024	234	19	ρ)2	ρ)2	PROPN
ejpam-6024	234	20	/	/	SYM
ejpam-6024	234	21	ρ2	ρ2	PROPN
ejpam-6024	234	22	.	.	PUNCT
ejpam-6024	235	1	from	from	ADP
ejpam-6024	235	2	a	a	DET
ejpam-6024	235	3	practical	practical	ADJ
ejpam-6024	235	4	point	point	NOUN
ejpam-6024	235	5	of	of	ADP
ejpam-6024	235	6	view	view	NOUN
ejpam-6024	235	7	,	,	PUNCT
ejpam-6024	235	8	the	the	DET
ejpam-6024	235	9	unbiased	unbiased	ADJ
ejpam-6024	235	10	tail	tail	NOUN
ejpam-6024	235	11	index	index	NOUN
ejpam-6024	235	12	estimator	estimator	NOUN
ejpam-6024	235	13	with	with	ADP
ejpam-6024	235	14	minimum	minimum	ADJ
ejpam-6024	235	15	variance	variance	NOUN
ejpam-6024	235	16	γ̂	γ̂	PUNCT
ejpam-6024	235	17	(	(	PUNCT
ejpam-6024	235	18	k∆∗opt	k∆∗opt	PROPN
ejpam-6024	235	19	)	)	PUNCT
ejpam-6024	235	20	n	n	CCONJ
ejpam-6024	235	21	,	,	PUNCT
ejpam-6024	235	22	k	k	PROPN
ejpam-6024	235	23	can	can	AUX
ejpam-6024	235	24	not	not	PART
ejpam-6024	235	25	be	be	AUX
ejpam-6024	235	26	obtained	obtain	VERB
ejpam-6024	235	27	directly	directly	ADV
ejpam-6024	235	28	,	,	PUNCT
ejpam-6024	235	29	since	since	SCONJ
ejpam-6024	235	30	it	it	PRON
ejpam-6024	235	31	depends	depend	VERB
ejpam-6024	235	32	on	on	ADP
ejpam-6024	235	33	the	the	DET
ejpam-6024	235	34	unknown	unknown	ADJ
ejpam-6024	235	35	parameters	parameter	NOUN
ejpam-6024	235	36	and	and	CCONJ
ejpam-6024	235	37	expressions	expression	NOUN
ejpam-6024	235	38	:	:	PUNCT
ejpam-6024	235	39	γ	γ	X
ejpam-6024	235	40	,	,	PUNCT
ejpam-6024	235	41	ρ	ρ	PROPN
ejpam-6024	235	42	,	,	PUNCT
ejpam-6024	235	43	a(n	a(n	NOUN
ejpam-6024	235	44	/	/	SYM
ejpam-6024	235	45	k	k	NOUN
ejpam-6024	235	46	)	)	PUNCT
ejpam-6024	235	47	and	and	CCONJ
ejpam-6024	235	48	k∆∗opt	k∆∗opt	PROPN
ejpam-6024	235	49	are	be	AUX
ejpam-6024	235	50	unknown	unknown	ADJ
ejpam-6024	235	51	.	.	PUNCT
ejpam-6024	236	1	to	to	PART
ejpam-6024	236	2	solve	solve	VERB
ejpam-6024	236	3	this	this	DET
ejpam-6024	236	4	issue	issue	NOUN
ejpam-6024	236	5	,	,	PUNCT
ejpam-6024	236	6	we	we	PRON
ejpam-6024	236	7	propose	propose	VERB
ejpam-6024	236	8	to	to	PART
ejpam-6024	236	9	replace	replace	VERB
ejpam-6024	236	10	ρ	ρ	NUM
ejpam-6024	236	11	by	by	ADP
ejpam-6024	236	12	ρ̂	ρ̂	NUM
ejpam-6024	236	13	,	,	PUNCT
ejpam-6024	236	14	where	where	SCONJ
ejpam-6024	236	15	ρ̂	ρ̂	NUM
ejpam-6024	236	16	is	be	AUX
ejpam-6024	236	17	either	either	CCONJ
ejpam-6024	236	18	a	a	DET
ejpam-6024	236	19	canonical	canonical	ADJ
ejpam-6024	236	20	negative	negative	ADJ
ejpam-6024	236	21	value	value	NOUN
ejpam-6024	236	22	ρ̂	ρ̂	NUM
ejpam-6024	237	1	=	=	SYM
ejpam-6024	237	2	ρ	ρ	PROPN
ejpam-6024	237	3	=	=	SYM
ejpam-6024	237	4	ρ0	ρ0	PROPN
ejpam-6024	237	5	or	or	CCONJ
ejpam-6024	237	6	an	an	DET
ejpam-6024	237	7	external	external	ADJ
ejpam-6024	237	8	estimator	estimator	NOUN
ejpam-6024	237	9	ρ̂	ρ̂	NUM
ejpam-6024	237	10	=	=	SYM
ejpam-6024	237	11	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	237	12	,	,	PUNCT
ejpam-6024	237	13	consistent	consistent	ADJ
ejpam-6024	237	14	in	in	ADP
ejpam-6024	237	15	probability	probability	NOUN
ejpam-6024	237	16	to	to	ADP
ejpam-6024	237	17	ρ	ρ	NUM
ejpam-6024	237	18	,	,	PUNCT
ejpam-6024	237	19	with	with	ADP
ejpam-6024	237	20	kρ	kρ	NOUN
ejpam-6024	237	21	:	:	PUNCT
ejpam-6024	237	22	=	=	SYM
ejpam-6024	237	23	kρ(n	kρ(n	X
ejpam-6024	237	24	)	)	PUNCT
ejpam-6024	237	25	an	an	DET
ejpam-6024	237	26	intermediate	intermediate	ADJ
ejpam-6024	237	27	sequence	sequence	NOUN
ejpam-6024	237	28	of	of	ADP
ejpam-6024	237	29	integers	integer	NOUN
ejpam-6024	237	30	greater	great	ADJ
ejpam-6024	237	31	than	than	ADP
ejpam-6024	237	32	k	k	PROPN
ejpam-6024	237	33	,	,	PUNCT
ejpam-6024	237	34	satisfying	satisfy	VERB
ejpam-6024	237	35	kρ	kρ	NOUN
ejpam-6024	237	36	→	→	SYM
ejpam-6024	237	37	∞	∞	NUM
ejpam-6024	237	38	and	and	CCONJ
ejpam-6024	237	39	kρ	kρ	PROPN
ejpam-6024	237	40	/	/	SYM
ejpam-6024	237	41	n	n	PROPN
ejpam-6024	237	42	→	→	SYM
ejpam-6024	237	43	0	0	NUM
ejpam-6024	237	44	,	,	PUNCT
ejpam-6024	237	45	as	as	ADP
ejpam-6024	237	46	n	n	PROPN
ejpam-6024	237	47	→	→	SYM
ejpam-6024	237	48	∞.	∞.	PROPN
ejpam-6024	237	49	finally	finally	ADV
ejpam-6024	237	50	,	,	PUNCT
ejpam-6024	237	51	as	as	ADP
ejpam-6024	237	52	in	in	ADP
ejpam-6024	237	53	(	(	PUNCT
ejpam-6024	237	54	10	10	NUM
ejpam-6024	237	55	)	)	PUNCT
ejpam-6024	237	56	,	,	PUNCT
ejpam-6024	237	57	the	the	DET
ejpam-6024	237	58	resulting	result	VERB
ejpam-6024	237	59	asymptotic	asymptotic	ADJ
ejpam-6024	237	60	unbiased	unbiased	ADJ
ejpam-6024	237	61	estimator	estimator	NOUN
ejpam-6024	237	62	of	of	ADP
ejpam-6024	237	63	the	the	DET
ejpam-6024	237	64	tail	tail	NOUN
ejpam-6024	237	65	index	index	NOUN
ejpam-6024	237	66	is	be	AUX
ejpam-6024	237	67	given	give	VERB
ejpam-6024	237	68	as	as	SCONJ
ejpam-6024	237	69	follows	follow	VERB
ejpam-6024	237	70	:	:	PUNCT
ejpam-6024	237	71	γ̂	γ̂	PUNCT
ejpam-6024	238	1	(	(	PUNCT
ejpam-6024	238	2	k	k	X
ejpam-6024	238	3	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	238	4	)	)	PUNCT
ejpam-6024	238	5	k	k	X
ejpam-6024	239	1	=	=	SYM
ejpam-6024	239	2	1	1	NUM
ejpam-6024	239	3	k	k	NOUN
ejpam-6024	239	4	k∑	k∑	PROPN
ejpam-6024	240	1	j=1	j=1	NOUN
ejpam-6024	240	2	{	{	PUNCT
ejpam-6024	240	3	j	j	PROPN
ejpam-6024	240	4	k	k	PROPN
ejpam-6024	240	5	k	k	PROPN
ejpam-6024	240	6	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	240	7	(	(	PUNCT
ejpam-6024	240	8	j	j	PROPN
ejpam-6024	240	9	k	k	PROPN
ejpam-6024	240	10	)	)	PUNCT
ejpam-6024	241	1	−	−	PROPN
ejpam-6024	241	2	j	j	NOUN
ejpam-6024	241	3	−	−	PROPN
ejpam-6024	241	4	1	1	NUM
ejpam-6024	241	5	k	k	PROPN
ejpam-6024	241	6	k	k	X
ejpam-6024	241	7	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	241	8	(	(	PUNCT
ejpam-6024	241	9	j	j	PROPN
ejpam-6024	241	10	−	−	PROPN
ejpam-6024	241	11	1	1	NUM
ejpam-6024	241	12	k	k	NOUN
ejpam-6024	241	13	)	)	PUNCT
ejpam-6024	241	14	}	}	PUNCT
ejpam-6024	241	15	log	log	NOUN
ejpam-6024	241	16	(	(	PUNCT
ejpam-6024	241	17	xn−j+1,n	xn−j+1,n	PROPN
ejpam-6024	241	18	xn−k	xn−k	PROPN
ejpam-6024	241	19	,	,	PUNCT
ejpam-6024	241	20	n	n	PROPN
ejpam-6024	241	21	)	)	PUNCT
ejpam-6024	241	22	,	,	PUNCT
ejpam-6024	241	23	a.	a.	NOUN
ejpam-6024	241	24	aghrabatt	aghrabatt	PROPN
ejpam-6024	241	25	et	et	PROPN
ejpam-6024	241	26	al	al	PROPN
ejpam-6024	241	27	.	.	PUNCT
ejpam-6024	241	28	/	/	SYM
ejpam-6024	241	29	eur	eur	PROPN
ejpam-6024	241	30	.	.	PUNCT
ejpam-6024	242	1	j.	j.	PROPN
ejpam-6024	242	2	pure	pure	PROPN
ejpam-6024	242	3	appl	appl	PROPN
ejpam-6024	242	4	.	.	PROPN
ejpam-6024	242	5	math	math	PROPN
ejpam-6024	242	6	,	,	PUNCT
ejpam-6024	242	7	18	18	NUM
ejpam-6024	242	8	(	(	PUNCT
ejpam-6024	242	9	2	2	NUM
ejpam-6024	242	10	)	)	PUNCT
ejpam-6024	242	11	(	(	PUNCT
ejpam-6024	242	12	2025	2025	NUM
ejpam-6024	242	13	)	)	PUNCT
ejpam-6024	242	14	,	,	PUNCT
ejpam-6024	242	15	6024	6024	NUM
ejpam-6024	242	16	12	12	NUM
ejpam-6024	242	17	of	of	ADP
ejpam-6024	242	18	25	25	NUM
ejpam-6024	242	19	where	where	SCONJ
ejpam-6024	242	20	k	k	PROPN
ejpam-6024	242	21	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	242	22	is	be	AUX
ejpam-6024	242	23	defined	define	VERB
ejpam-6024	242	24	as	as	ADP
ejpam-6024	242	25	k∆∗opt	k∆∗opt	PROPN
ejpam-6024	242	26	in	in	ADP
ejpam-6024	242	27	(	(	PUNCT
ejpam-6024	242	28	21	21	NUM
ejpam-6024	242	29	)	)	PUNCT
ejpam-6024	242	30	with	with	ADP
ejpam-6024	242	31	ρ	ρ	PROPN
ejpam-6024	242	32	replaced	replace	VERB
ejpam-6024	242	33	by	by	ADP
ejpam-6024	242	34	ρ̂.	ρ̂.	NOUN
ejpam-6024	242	35	next	next	ADV
ejpam-6024	242	36	,	,	PUNCT
ejpam-6024	242	37	for	for	ADP
ejpam-6024	242	38	the	the	DET
ejpam-6024	242	39	estimation	estimation	NOUN
ejpam-6024	242	40	of	of	ADP
ejpam-6024	242	41	the	the	DET
ejpam-6024	242	42	rate	rate	NOUN
ejpam-6024	242	43	a	a	PRON
ejpam-6024	242	44	(	(	PUNCT
ejpam-6024	242	45	·	·	PUNCT
ejpam-6024	242	46	)	)	PUNCT
ejpam-6024	243	1	,	,	PUNCT
ejpam-6024	243	2	we	we	PRON
ejpam-6024	243	3	use	use	VERB
ejpam-6024	243	4	the	the	DET
ejpam-6024	243	5	result	result	NOUN
ejpam-6024	243	6	in	in	ADP
ejpam-6024	243	7	(	(	PUNCT
ejpam-6024	243	8	16	16	NUM
ejpam-6024	243	9	)	)	PUNCT
ejpam-6024	243	10	from	from	ADP
ejpam-6024	243	11	which	which	PRON
ejpam-6024	243	12	we	we	PRON
ejpam-6024	243	13	have	have	VERB
ejpam-6024	243	14	,	,	PUNCT
ejpam-6024	243	15	as	as	ADP
ejpam-6024	243	16	n	n	X
ejpam-6024	243	17	→	→	SYM
ejpam-6024	243	18	∞	∞	PROPN
ejpam-6024	243	19	,	,	PUNCT
ejpam-6024	243	20	γ̂	γ̂	X
ejpam-6024	244	1	(	(	PUNCT
ejpam-6024	244	2	k	k	X
ejpam-6024	244	3	)	)	PUNCT
ejpam-6024	245	1	k	k	NOUN
ejpam-6024	245	2	−	−	X
ejpam-6024	245	3	γ̂	γ̂	PROPN
ejpam-6024	246	1	(	(	PUNCT
ejpam-6024	246	2	k2,ρ	k2,ρ	PROPN
ejpam-6024	246	3	)	)	PUNCT
ejpam-6024	246	4	k	k	NOUN
ejpam-6024	247	1	=	=	PUNCT
ejpam-6024	247	2	−a(n	−a(n	NOUN
ejpam-6024	247	3	/	/	SYM
ejpam-6024	247	4	k	k	NOUN
ejpam-6024	247	5	)	)	PUNCT
ejpam-6024	247	6	ρ2	ρ2	NOUN
ejpam-6024	247	7	(	(	PUNCT
ejpam-6024	247	8	1−	1−	NUM
ejpam-6024	247	9	ρ)(1−	ρ)(1−	NUM
ejpam-6024	247	10	2ρ	2ρ	NOUN
ejpam-6024	247	11	)	)	PUNCT
ejpam-6024	248	1	+	+	CCONJ
ejpam-6024	248	2	op(1	op(1	NOUN
ejpam-6024	248	3	)	)	PUNCT
ejpam-6024	248	4	.	.	PUNCT
ejpam-6024	249	1	thus	thus	ADV
ejpam-6024	249	2	,	,	PUNCT
ejpam-6024	249	3	we	we	PRON
ejpam-6024	249	4	can	can	AUX
ejpam-6024	249	5	approximate	approximate	VERB
ejpam-6024	249	6	a(n	a(n	PROPN
ejpam-6024	249	7	/	/	SYM
ejpam-6024	249	8	k	k	NOUN
ejpam-6024	249	9	)	)	PUNCT
ejpam-6024	249	10	ρ2	ρ2	NOUN
ejpam-6024	249	11	(	(	PUNCT
ejpam-6024	249	12	1−	1−	NUM
ejpam-6024	249	13	ρ)(1−	ρ)(1−	NOUN
ejpam-6024	249	14	2ρ	2ρ	NOUN
ejpam-6024	249	15	)	)	PUNCT
ejpam-6024	249	16	by	by	ADP
ejpam-6024	249	17	−	−	PROPN
ejpam-6024	249	18	{	{	PUNCT
ejpam-6024	249	19	γ̂	γ̂	PUNCT
ejpam-6024	249	20	(	(	PUNCT
ejpam-6024	249	21	k	k	NOUN
ejpam-6024	249	22	)	)	PUNCT
ejpam-6024	249	23	n	n	CCONJ
ejpam-6024	249	24	,	,	PUNCT
ejpam-6024	249	25	k	k	PROPN
ejpam-6024	249	26	−	−	PROPN
ejpam-6024	249	27	γ̂	γ̂	PROPN
ejpam-6024	249	28	(	(	PUNCT
ejpam-6024	249	29	k2,ρ	k2,ρ	PROPN
ejpam-6024	249	30	)	)	PUNCT
ejpam-6024	249	31	n	n	CCONJ
ejpam-6024	249	32	,	,	PUNCT
ejpam-6024	249	33	k	k	PROPN
ejpam-6024	249	34	}	}	PUNCT
ejpam-6024	249	35	,	,	PUNCT
ejpam-6024	249	36	which	which	PRON
ejpam-6024	249	37	mean	mean	VERB
ejpam-6024	249	38	that	that	SCONJ
ejpam-6024	249	39	a(n	a(n	PROPN
ejpam-6024	249	40	/	/	SYM
ejpam-6024	249	41	k	k	NOUN
ejpam-6024	249	42	)	)	PUNCT
ejpam-6024	249	43	can	can	AUX
ejpam-6024	249	44	be	be	AUX
ejpam-6024	249	45	estimated	estimate	VERB
ejpam-6024	249	46	by	by	ADP
ejpam-6024	249	47	;	;	PUNCT
ejpam-6024	249	48	ân	ân	PROPN
ejpam-6024	249	49	,	,	PUNCT
ejpam-6024	249	50	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	249	51	)	)	PUNCT
ejpam-6024	249	52	:	:	PUNCT
ejpam-6024	250	1	=	=	PUNCT
ejpam-6024	250	2	−(1−	−(1−	ADP
ejpam-6024	250	3	ρ̂)(1−	ρ̂)(1−	NOUN
ejpam-6024	250	4	2ρ̂	2ρ̂	NUM
ejpam-6024	250	5	)	)	PUNCT
ejpam-6024	250	6	ρ̂	ρ̂	NUM
ejpam-6024	250	7	2	2	NUM
ejpam-6024	250	8	{	{	PUNCT
ejpam-6024	250	9	γ̂	γ̂	X
ejpam-6024	250	10	(	(	PUNCT
ejpam-6024	250	11	k	k	NOUN
ejpam-6024	250	12	)	)	PUNCT
ejpam-6024	250	13	n	n	CCONJ
ejpam-6024	250	14	,	,	PUNCT
ejpam-6024	250	15	k	k	PROPN
ejpam-6024	250	16	−	−	PROPN
ejpam-6024	250	17	γ̂	γ̂	PUNCT
ejpam-6024	250	18	(	(	PUNCT
ejpam-6024	250	19	k2,ρ̂	k2,ρ̂	PROPN
ejpam-6024	250	20	)	)	PUNCT
ejpam-6024	250	21	n	n	CCONJ
ejpam-6024	250	22	,	,	PUNCT
ejpam-6024	250	23	k	k	PROPN
ejpam-6024	250	24	}	}	PUNCT
ejpam-6024	250	25	.	.	PUNCT
ejpam-6024	251	1	finally	finally	ADV
ejpam-6024	251	2	,	,	PUNCT
ejpam-6024	251	3	using	use	VERB
ejpam-6024	251	4	the	the	DET
ejpam-6024	251	5	relation	relation	NOUN
ejpam-6024	251	6	in	in	ADP
ejpam-6024	251	7	(	(	PUNCT
ejpam-6024	251	8	18	18	NUM
ejpam-6024	251	9	)	)	PUNCT
ejpam-6024	251	10	,	,	PUNCT
ejpam-6024	251	11	we	we	PRON
ejpam-6024	251	12	arrive	arrive	VERB
ejpam-6024	251	13	at	at	ADP
ejpam-6024	251	14	the	the	DET
ejpam-6024	251	15	following	follow	VERB
ejpam-6024	251	16	unbiased	unbiased	ADJ
ejpam-6024	251	17	estimator	estimator	NOUN
ejpam-6024	251	18	of	of	ADP
ejpam-6024	251	19	the	the	DET
ejpam-6024	251	20	extreme	extreme	ADJ
ejpam-6024	251	21	quantile	quantile	NOUN
ejpam-6024	251	22	q(1−	q(1−	NOUN
ejpam-6024	251	23	s	s	NOUN
ejpam-6024	251	24	)	)	PUNCT
ejpam-6024	251	25	,	,	PUNCT
ejpam-6024	251	26	s	s	X
ejpam-6024	251	27	→	→	SYM
ejpam-6024	251	28	0	0	NUM
ejpam-6024	251	29	:	:	PUNCT
ejpam-6024	251	30	q̂	q̂	X
ejpam-6024	251	31	(	(	PUNCT
ejpam-6024	251	32	k	k	X
ejpam-6024	251	33	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	251	34	)	)	PUNCT
ejpam-6024	252	1	k	k	PROPN
ejpam-6024	252	2	,	,	PUNCT
ejpam-6024	252	3	ρ̂	ρ̂	NUM
ejpam-6024	252	4	(	(	PUNCT
ejpam-6024	252	5	1−	1−	NUM
ejpam-6024	252	6	s	s	X
ejpam-6024	252	7	)	)	PUNCT
ejpam-6024	252	8	=	=	SYM
ejpam-6024	252	9	(	(	PUNCT
ejpam-6024	252	10	ns	ns	NUM
ejpam-6024	252	11	k	k	NOUN
ejpam-6024	252	12	)	)	PUNCT
ejpam-6024	252	13	−γ̂	−γ̂	NOUN
ejpam-6024	252	14	(	(	PUNCT
ejpam-6024	252	15	k	k	X
ejpam-6024	252	16	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	252	17	)	)	PUNCT
ejpam-6024	253	1	k	k	PROPN
ejpam-6024	253	2	xn−k	xn−k	PROPN
ejpam-6024	253	3	,	,	PUNCT
ejpam-6024	253	4	n	n	CCONJ
ejpam-6024	253	5	{	{	PUNCT
ejpam-6024	253	6	1−	1−	NUM
ejpam-6024	253	7	ân	ân	PROPN
ejpam-6024	253	8	,	,	PUNCT
ejpam-6024	253	9	k	k	PROPN
ejpam-6024	253	10	ρ	ρ	PROPN
ejpam-6024	253	11	[	[	PUNCT
ejpam-6024	253	12	1−	1−	NUM
ejpam-6024	253	13	(	(	PUNCT
ejpam-6024	253	14	ns	ns	NUM
ejpam-6024	253	15	k	k	PROPN
ejpam-6024	253	16	)	)	PUNCT
ejpam-6024	253	17	−ρ̂	−ρ̂	X
ejpam-6024	253	18	]	]	PUNCT
ejpam-6024	253	19	}	}	PUNCT
ejpam-6024	253	20	.	.	PUNCT
ejpam-6024	254	1	(	(	PUNCT
ejpam-6024	254	2	22	22	NUM
ejpam-6024	254	3	)	)	PUNCT
ejpam-6024	254	4	under	under	ADP
ejpam-6024	254	5	the	the	DET
ejpam-6024	254	6	second	second	ADJ
ejpam-6024	254	7	order	order	NOUN
ejpam-6024	254	8	condition	condition	NOUN
ejpam-6024	254	9	(	(	PUNCT
ejpam-6024	254	10	cso	cso	PROPN
ejpam-6024	254	11	)	)	PUNCT
ejpam-6024	254	12	and	and	CCONJ
ejpam-6024	254	13	the	the	DET
ejpam-6024	254	14	regularity	regularity	NOUN
ejpam-6024	254	15	assumption	assumption	NOUN
ejpam-6024	254	16	(	(	PUNCT
ejpam-6024	254	17	cr	cr	NOUN
ejpam-6024	254	18	)	)	PUNCT
ejpam-6024	254	19	,	,	PUNCT
ejpam-6024	254	20	[	[	X
ejpam-6024	254	21	19	19	NUM
ejpam-6024	254	22	]	]	PUNCT
ejpam-6024	254	23	established	establish	VERB
ejpam-6024	254	24	the	the	DET
ejpam-6024	254	25	asymptotic	asymptotic	ADJ
ejpam-6024	254	26	normality	normality	NOUN
ejpam-6024	254	27	of	of	ADP
ejpam-6024	254	28	γ̂	γ̂	PROPN
ejpam-6024	254	29	(	(	PUNCT
ejpam-6024	254	30	k	k	X
ejpam-6024	254	31	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	254	32	)	)	PUNCT
ejpam-6024	255	1	k	k	X
ejpam-6024	255	2	.	.	PUNCT
ejpam-6024	256	1	more	more	ADV
ejpam-6024	256	2	precisely	precisely	ADV
ejpam-6024	256	3	,	,	PUNCT
ejpam-6024	256	4	if	if	SCONJ
ejpam-6024	256	5	k1/2a(n	k1/2a(n	PROPN
ejpam-6024	256	6	/	/	SYM
ejpam-6024	256	7	k	k	NOUN
ejpam-6024	256	8	)	)	PUNCT
ejpam-6024	256	9	→	→	PUNCT
ejpam-6024	256	10	λ	λ	X
ejpam-6024	256	11	∈	∈	PROPN
ejpam-6024	256	12	r	r	NOUN
ejpam-6024	256	13	,	,	PUNCT
ejpam-6024	256	14	as	as	ADP
ejpam-6024	256	15	n	n	NUM
ejpam-6024	256	16	→	→	SYM
ejpam-6024	256	17	∞	∞	PROPN
ejpam-6024	256	18	,	,	PUNCT
ejpam-6024	256	19	we	we	PRON
ejpam-6024	256	20	have	have	VERB
ejpam-6024	256	21	:	:	PUNCT
ejpam-6024	256	22	γ̂	γ̂	NUM
ejpam-6024	256	23	(	(	PUNCT
ejpam-6024	256	24	k	k	X
ejpam-6024	256	25	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	256	26	)	)	PUNCT
ejpam-6024	257	1	k	k	PROPN
ejpam-6024	258	1	d	d	NOUN
ejpam-6024	258	2	=	=	SYM
ejpam-6024	258	3	γ	γ	X
ejpam-6024	258	4	+	+	CCONJ
ejpam-6024	258	5	k−1/2γ	k−1/2γ	PROPN
ejpam-6024	258	6	∫	∫	PROPN
ejpam-6024	258	7	1	1	NUM
ejpam-6024	258	8	0	0	NUM
ejpam-6024	258	9	(	(	PUNCT
ejpam-6024	258	10	t−1w	t−1w	NOUN
ejpam-6024	258	11	(	(	PUNCT
ejpam-6024	258	12	t)−w	t)−w	NUM
ejpam-6024	258	13	(	(	PUNCT
ejpam-6024	258	14	1	1	NUM
ejpam-6024	258	15	)	)	PUNCT
ejpam-6024	258	16	)	)	PUNCT
ejpam-6024	259	1	d(tk∆∗opt	d(tk∆∗opt	ADP
ejpam-6024	259	2	(	(	PUNCT
ejpam-6024	259	3	t	t	PROPN
ejpam-6024	259	4	)	)	PUNCT
ejpam-6024	259	5	)	)	PUNCT
ejpam-6024	260	1	+	+	CCONJ
ejpam-6024	260	2	op(k	op(k	NUM
ejpam-6024	260	3	−1/2	−1/2	ADJ
ejpam-6024	260	4	)	)	PUNCT
ejpam-6024	260	5	.	.	PUNCT
ejpam-6024	261	1	(	(	PUNCT
ejpam-6024	261	2	23	23	NUM
ejpam-6024	261	3	)	)	PUNCT
ejpam-6024	261	4	this	this	PRON
ejpam-6024	261	5	leads	lead	VERB
ejpam-6024	261	6	to	to	ADP
ejpam-6024	261	7	√	√	PROPN
ejpam-6024	261	8	k(γ̂	k(γ̂	PROPN
ejpam-6024	261	9	(	(	PUNCT
ejpam-6024	261	10	k	k	X
ejpam-6024	261	11	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	261	12	)	)	PUNCT
ejpam-6024	262	1	k	k	NOUN
ejpam-6024	262	2	−	−	PROPN
ejpam-6024	262	3	γ	γ	PROPN
ejpam-6024	262	4	)	)	PUNCT
ejpam-6024	262	5	d−→	d−→	PROPN
ejpam-6024	262	6	n	n	PROPN
ejpam-6024	262	7	(	(	PUNCT
ejpam-6024	262	8	0,avk∆∗opt	0,avk∆∗opt	X
ejpam-6024	262	9	(	(	PUNCT
ejpam-6024	262	10	γ	γ	NOUN
ejpam-6024	262	11	)	)	PUNCT
ejpam-6024	262	12	)	)	PUNCT
ejpam-6024	262	13	.	.	PUNCT
ejpam-6024	263	1	(	(	PUNCT
ejpam-6024	263	2	24	24	NUM
ejpam-6024	263	3	)	)	PUNCT
ejpam-6024	263	4	in	in	ADP
ejpam-6024	263	5	the	the	DET
ejpam-6024	263	6	spirit	spirit	NOUN
ejpam-6024	263	7	of	of	ADP
ejpam-6024	263	8	(	(	PUNCT
ejpam-6024	263	9	13	13	NUM
ejpam-6024	263	10	)	)	PUNCT
ejpam-6024	263	11	,	,	PUNCT
ejpam-6024	263	12	substituting	substitute	VERB
ejpam-6024	263	13	the	the	DET
ejpam-6024	263	14	extreme	extreme	ADJ
ejpam-6024	263	15	quantile	quantile	NOUN
ejpam-6024	263	16	q(1−	q(1−	NOUN
ejpam-6024	263	17	s	s	NOUN
ejpam-6024	263	18	)	)	PUNCT
ejpam-6024	263	19	with	with	ADP
ejpam-6024	263	20	q̂	q̂	NUM
ejpam-6024	263	21	(	(	PUNCT
ejpam-6024	263	22	k	k	X
ejpam-6024	263	23	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	263	24	)	)	PUNCT
ejpam-6024	264	1	k	k	PROPN
ejpam-6024	264	2	,	,	PUNCT
ejpam-6024	264	3	ρ̂	ρ̂	NUM
ejpam-6024	264	4	(	(	PUNCT
ejpam-6024	264	5	1−	1−	NUM
ejpam-6024	264	6	s	s	NOUN
ejpam-6024	264	7	)	)	PUNCT
ejpam-6024	264	8	,	,	PUNCT
ejpam-6024	264	9	we	we	PRON
ejpam-6024	264	10	obtain	obtain	VERB
ejpam-6024	264	11	the	the	DET
ejpam-6024	264	12	following	follow	VERB
ejpam-6024	264	13	unbiased	unbiased	ADJ
ejpam-6024	264	14	estimator	estimator	NOUN
ejpam-6024	264	15	for	for	ADP
ejpam-6024	264	16	the	the	DET
ejpam-6024	264	17	distorted	distorted	ADJ
ejpam-6024	264	18	risk	risk	NOUN
ejpam-6024	264	19	measure	measure	NOUN
ejpam-6024	264	20	πβ	πβ	PROPN
ejpam-6024	264	21	,	,	PUNCT
ejpam-6024	264	22	n	n	CCONJ
ejpam-6024	264	23	:	:	PUNCT
ejpam-6024	264	24	π̃	π̃	PROPN
ejpam-6024	264	25	(	(	PUNCT
ejpam-6024	264	26	k	k	X
ejpam-6024	264	27	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	264	28	)	)	PUNCT
ejpam-6024	265	1	β	β	X
ejpam-6024	265	2	,	,	PUNCT
ejpam-6024	265	3	k	k	PROPN
ejpam-6024	265	4	,	,	PUNCT
ejpam-6024	265	5	nρ̂	nρ̂	NOUN
ejpam-6024	265	6	:	:	PUNCT
ejpam-6024	265	7	=	=	SYM
ejpam-6024	266	1			NOUN
ejpam-6024	266	2	γ̂	γ̂	PRON
ejpam-6024	266	3	(	(	PUNCT
ejpam-6024	266	4	k	k	X
ejpam-6024	266	5	∆̂∗opt	∆̂∗opt	NUM
ejpam-6024	266	6	)	)	PUNCT
ejpam-6024	266	7	n	n	CCONJ
ejpam-6024	266	8	,	,	PUNCT
ejpam-6024	266	9	k	k	PROPN
ejpam-6024	266	10	1	1	NUM
ejpam-6024	266	11	β	β	NOUN
ejpam-6024	266	12	−	−	PROPN
ejpam-6024	266	13	γ̂	γ̂	PUNCT
ejpam-6024	266	14	(	(	PUNCT
ejpam-6024	266	15	k	k	X
ejpam-6024	266	16	∆̂∗opt	∆̂∗opt	NUM
ejpam-6024	266	17	)	)	PUNCT
ejpam-6024	266	18	n	n	CCONJ
ejpam-6024	266	19	,	,	PUNCT
ejpam-6024	266	20	k	k	PROPN
ejpam-6024	266	21	+	+	PROPN
ejpam-6024	266	22	ân	ân	PROPN
ejpam-6024	266	23	,	,	PUNCT
ejpam-6024	266	24	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	266	25	)	)	PUNCT
ejpam-6024	266	26	(	(	PUNCT
ejpam-6024	266	27	1	1	NUM
ejpam-6024	266	28	β	β	NOUN
ejpam-6024	266	29	−	−	PROPN
ejpam-6024	266	30	γ̂	γ̂	PUNCT
ejpam-6024	266	31	(	(	PUNCT
ejpam-6024	266	32	k	k	X
ejpam-6024	266	33	∆̂∗opt	∆̂∗opt	NUM
ejpam-6024	266	34	)	)	PUNCT
ejpam-6024	266	35	n	n	CCONJ
ejpam-6024	266	36	,	,	PUNCT
ejpam-6024	266	37	k	k	PROPN
ejpam-6024	266	38	)	)	PUNCT
ejpam-6024	266	39	(	(	PUNCT
ejpam-6024	266	40	1−	1−	NUM
ejpam-6024	266	41	βγ̂	βγ̂	NUM
ejpam-6024	266	42	(	(	PUNCT
ejpam-6024	266	43	k	k	NOUN
ejpam-6024	266	44	∆̂∗opt	∆̂∗opt	NUM
ejpam-6024	266	45	)	)	PUNCT
ejpam-6024	266	46	n	n	CCONJ
ejpam-6024	266	47	,	,	PUNCT
ejpam-6024	266	48	k	k	PROPN
ejpam-6024	266	49	−	−	PROPN
ejpam-6024	266	50	βρ̂	βρ̂	PROPN
ejpam-6024	266	51	)	)	PUNCT
ejpam-6024	266	52			ADV
ejpam-6024	266	53	gβ(k	gβ(k	X
ejpam-6024	266	54	/	/	SYM
ejpam-6024	266	55	n	n	CCONJ
ejpam-6024	266	56	)	)	PUNCT
ejpam-6024	266	57	xn−k	xn−k	PROPN
ejpam-6024	266	58	,	,	PUNCT
ejpam-6024	266	59	n.(25	n.(25	PROPN
ejpam-6024	266	60	)	)	PUNCT
ejpam-6024	266	61	a	a	DET
ejpam-6024	266	62	possible	possible	ADJ
ejpam-6024	266	63	choice	choice	NOUN
ejpam-6024	266	64	for	for	ADP
ejpam-6024	266	65	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	266	66	is	be	AUX
ejpam-6024	266	67	the	the	DET
ejpam-6024	266	68	most	most	ADV
ejpam-6024	266	69	performed	perform	VERB
ejpam-6024	266	70	estimator	estimator	NOUN
ejpam-6024	266	71	among	among	ADP
ejpam-6024	266	72	those	those	PRON
ejpam-6024	266	73	studied	study	VERB
ejpam-6024	266	74	in	in	ADP
ejpam-6024	266	75	the	the	DET
ejpam-6024	266	76	i.i.d	i.i.d	NOUN
ejpam-6024	266	77	.	.	PUNCT
ejpam-6024	267	1	case	case	NOUN
ejpam-6024	267	2	(	(	PUNCT
ejpam-6024	267	3	see	see	VERB
ejpam-6024	267	4	,	,	PUNCT
ejpam-6024	267	5	e.g	e.g	PROPN
ejpam-6024	267	6	,	,	PUNCT
ejpam-6024	267	7	[	[	X
ejpam-6024	267	8	32	32	NUM
ejpam-6024	267	9	]	]	PUNCT
ejpam-6024	267	10	,	,	PUNCT
ejpam-6024	267	11	[	[	X
ejpam-6024	267	12	33	33	NUM
ejpam-6024	267	13	]	]	PUNCT
ejpam-6024	267	14	)	)	PUNCT
ejpam-6024	267	15	and	and	CCONJ
ejpam-6024	267	16	used	use	VERB
ejpam-6024	267	17	in	in	ADP
ejpam-6024	267	18	the	the	DET
ejpam-6024	267	19	β	β	NOUN
ejpam-6024	267	20	-	-	ADJ
ejpam-6024	267	21	mixing	mix	VERB
ejpam-6024	267	22	case	case	NOUN
ejpam-6024	267	23	by	by	ADP
ejpam-6024	267	24	[	[	X
ejpam-6024	267	25	20	20	NUM
ejpam-6024	267	26	]	]	PUNCT
ejpam-6024	267	27	and	and	CCONJ
ejpam-6024	267	28	[	[	X
ejpam-6024	267	29	19	19	NUM
ejpam-6024	267	30	]	]	X
ejpam-6024	267	31	:	:	PUNCT
ejpam-6024	267	32	ρ̂kρ	ρ̂kρ	X
ejpam-6024	267	33	=	=	SYM
ejpam-6024	267	34	6s	6s	NUM
ejpam-6024	267	35	(	(	PUNCT
ejpam-6024	267	36	2	2	NUM
ejpam-6024	267	37	)	)	PUNCT
ejpam-6024	267	38	kρ	kρ	NOUN
ejpam-6024	267	39	−	−	PROPN
ejpam-6024	267	40	4	4	NUM
ejpam-6024	267	41	+	+	CCONJ
ejpam-6024	267	42	(	(	PUNCT
ejpam-6024	267	43	3s	3s	NUM
ejpam-6024	267	44	(	(	PUNCT
ejpam-6024	267	45	2	2	NUM
ejpam-6024	267	46	)	)	PUNCT
ejpam-6024	267	47	kρ	kρ	NOUN
ejpam-6024	267	48	−	−	PROPN
ejpam-6024	267	49	2	2	NUM
ejpam-6024	267	50	)	)	PUNCT
ejpam-6024	267	51	1/2	1/2	NUM
ejpam-6024	267	52	4s	4s	NUM
ejpam-6024	267	53	(	(	PUNCT
ejpam-6024	267	54	2	2	NUM
ejpam-6024	267	55	)	)	PUNCT
ejpam-6024	267	56	kρ	kρ	NOUN
ejpam-6024	267	57	−	−	PROPN
ejpam-6024	267	58	3	3	NUM
ejpam-6024	267	59	,	,	PUNCT
ejpam-6024	267	60	provided	provide	VERB
ejpam-6024	267	61	s	s	NOUN
ejpam-6024	267	62	(	(	PUNCT
ejpam-6024	267	63	2	2	NUM
ejpam-6024	267	64	)	)	PUNCT
ejpam-6024	267	65	kρ	kρ	NOUN
ejpam-6024	267	66	∈	∈	PROPN
ejpam-6024	267	67	(	(	PUNCT
ejpam-6024	267	68	2	2	NUM
ejpam-6024	267	69	3	3	NUM
ejpam-6024	267	70	,	,	PUNCT
ejpam-6024	267	71	3	3	NUM
ejpam-6024	267	72	4	4	NUM
ejpam-6024	267	73	)	)	PUNCT
ejpam-6024	267	74	,	,	PUNCT
ejpam-6024	267	75	(	(	PUNCT
ejpam-6024	267	76	26	26	NUM
ejpam-6024	267	77	)	)	PUNCT
ejpam-6024	267	78	a.	a.	NOUN
ejpam-6024	267	79	aghrabatt	aghrabatt	NOUN
ejpam-6024	268	1	et	et	PROPN
ejpam-6024	268	2	al	al	PROPN
ejpam-6024	268	3	.	.	PUNCT
ejpam-6024	268	4	/	/	SYM
ejpam-6024	268	5	eur	eur	PROPN
ejpam-6024	268	6	.	.	PUNCT
ejpam-6024	269	1	j.	j.	PROPN
ejpam-6024	269	2	pure	pure	PROPN
ejpam-6024	269	3	appl	appl	PROPN
ejpam-6024	269	4	.	.	PROPN
ejpam-6024	269	5	math	math	PROPN
ejpam-6024	269	6	,	,	PUNCT
ejpam-6024	269	7	18	18	NUM
ejpam-6024	269	8	(	(	PUNCT
ejpam-6024	269	9	2	2	NUM
ejpam-6024	269	10	)	)	PUNCT
ejpam-6024	269	11	(	(	PUNCT
ejpam-6024	269	12	2025	2025	NUM
ejpam-6024	269	13	)	)	PUNCT
ejpam-6024	269	14	,	,	PUNCT
ejpam-6024	269	15	6024	6024	NUM
ejpam-6024	269	16	13	13	NUM
ejpam-6024	269	17	of	of	ADP
ejpam-6024	269	18	25	25	NUM
ejpam-6024	269	19	where	where	SCONJ
ejpam-6024	269	20	s	s	X
ejpam-6024	269	21	(	(	PUNCT
ejpam-6024	269	22	2	2	NUM
ejpam-6024	269	23	)	)	PUNCT
ejpam-6024	269	24	kρ	kρ	NOUN
ejpam-6024	269	25	=	=	SYM
ejpam-6024	269	26	3	3	NUM
ejpam-6024	269	27	4	4	NUM
ejpam-6024	269	28	[	[	PUNCT
ejpam-6024	269	29	m	m	X
ejpam-6024	269	30	(	(	PUNCT
ejpam-6024	269	31	4	4	NUM
ejpam-6024	269	32	)	)	PUNCT
ejpam-6024	269	33	kρ	kρ	NOUN
ejpam-6024	269	34	−	−	PROPN
ejpam-6024	269	35	24	24	NUM
ejpam-6024	269	36	(	(	PUNCT
ejpam-6024	269	37	m	m	PROPN
ejpam-6024	269	38	(	(	PUNCT
ejpam-6024	269	39	1	1	NUM
ejpam-6024	269	40	)	)	PUNCT
ejpam-6024	269	41	kρ	kρ	NOUN
ejpam-6024	269	42	)	)	PUNCT
ejpam-6024	269	43	4	4	NUM
ejpam-6024	269	44	]	]	PUNCT
ejpam-6024	269	45	[	[	PUNCT
ejpam-6024	269	46	m	m	X
ejpam-6024	269	47	(	(	PUNCT
ejpam-6024	269	48	2	2	NUM
ejpam-6024	269	49	)	)	PUNCT
ejpam-6024	269	50	kρ	kρ	NOUN
ejpam-6024	269	51	−	−	PROPN
ejpam-6024	269	52	2	2	NUM
ejpam-6024	269	53	(	(	PUNCT
ejpam-6024	269	54	m	m	PROPN
ejpam-6024	269	55	(	(	PUNCT
ejpam-6024	269	56	1	1	NUM
ejpam-6024	269	57	)	)	PUNCT
ejpam-6024	269	58	kρ	kρ	NOUN
ejpam-6024	269	59	)	)	PUNCT
ejpam-6024	269	60	2	2	X
ejpam-6024	269	61	]	]	PUNCT
ejpam-6024	269	62	[	[	PUNCT
ejpam-6024	269	63	m	m	X
ejpam-6024	269	64	(	(	PUNCT
ejpam-6024	269	65	3	3	NUM
ejpam-6024	269	66	)	)	PUNCT
ejpam-6024	269	67	kρ	kρ	NOUN
ejpam-6024	269	68	−	−	PROPN
ejpam-6024	269	69	6	6	NUM
ejpam-6024	269	70	(	(	PUNCT
ejpam-6024	269	71	m	m	PROPN
ejpam-6024	269	72	(	(	PUNCT
ejpam-6024	269	73	1	1	NUM
ejpam-6024	269	74	)	)	PUNCT
ejpam-6024	269	75	kρ	kρ	NOUN
ejpam-6024	269	76	)	)	PUNCT
ejpam-6024	269	77	3]2	3]2	PROPN
ejpam-6024	269	78	and	and	CCONJ
ejpam-6024	269	79	m	m	PROPN
ejpam-6024	269	80	(	(	PUNCT
ejpam-6024	269	81	r	r	NOUN
ejpam-6024	269	82	)	)	PUNCT
ejpam-6024	269	83	kρ	kρ	NOUN
ejpam-6024	269	84	:	:	PUNCT
ejpam-6024	269	85	=	=	SYM
ejpam-6024	269	86	1	1	NUM
ejpam-6024	269	87	kρ	kρ	PROPN
ejpam-6024	269	88	kρ∑	kρ∑	PROPN
ejpam-6024	269	89	j=1	j=1	PROPN
ejpam-6024	269	90	(	(	PUNCT
ejpam-6024	269	91	log	log	PROPN
ejpam-6024	269	92	xn−j+1,n	xn−j+1,n	PROPN
ejpam-6024	269	93	xn−kρ	xn−kρ	PROPN
ejpam-6024	269	94	,	,	PUNCT
ejpam-6024	269	95	n	n	NOUN
ejpam-6024	269	96	)	)	PUNCT
ejpam-6024	269	97	r	r	NOUN
ejpam-6024	269	98	,	,	PUNCT
ejpam-6024	270	1	r	r	NOUN
ejpam-6024	270	2	>	>	X
ejpam-6024	270	3	0	0	NUM
ejpam-6024	270	4	.	.	PUNCT
ejpam-6024	271	1	the	the	DET
ejpam-6024	271	2	consistency	consistency	NOUN
ejpam-6024	271	3	and	and	CCONJ
ejpam-6024	271	4	the	the	DET
ejpam-6024	271	5	asymptotic	asymptotic	ADJ
ejpam-6024	271	6	normality	normality	NOUN
ejpam-6024	271	7	of	of	ADP
ejpam-6024	271	8	ρ̂kρ	ρ̂kρ	PRON
ejpam-6024	271	9	have	have	AUX
ejpam-6024	271	10	been	be	AUX
ejpam-6024	271	11	established	establish	VERB
ejpam-6024	271	12	in	in	ADP
ejpam-6024	271	13	[	[	X
ejpam-6024	271	14	20	20	NUM
ejpam-6024	271	15	]	]	PUNCT
ejpam-6024	271	16	in	in	ADP
ejpam-6024	271	17	the	the	DET
ejpam-6024	271	18	case	case	NOUN
ejpam-6024	271	19	of	of	ADP
ejpam-6024	271	20	β	β	NOUN
ejpam-6024	271	21	-	-	ADJ
ejpam-6024	271	22	mixing	mix	VERB
ejpam-6024	271	23	serials	serial	NOUN
ejpam-6024	271	24	under	under	ADP
ejpam-6024	271	25	the	the	DET
ejpam-6024	271	26	second	second	ADJ
ejpam-6024	271	27	order	order	NOUN
ejpam-6024	271	28	condition	condition	NOUN
ejpam-6024	271	29	cso	cso	PROPN
ejpam-6024	271	30	and	and	CCONJ
ejpam-6024	271	31	the	the	DET
ejpam-6024	271	32	assumptions	assumption	NOUN
ejpam-6024	271	33	kρ	kρ	NOUN
ejpam-6024	271	34	→	→	SYM
ejpam-6024	271	35	∞	∞	PROPN
ejpam-6024	271	36	,	,	PUNCT
ejpam-6024	271	37	kρ	kρ	PROPN
ejpam-6024	271	38	/	/	SYM
ejpam-6024	271	39	n	n	NOUN
ejpam-6024	271	40	→	→	SYM
ejpam-6024	271	41	0	0	NUM
ejpam-6024	271	42	and	and	CCONJ
ejpam-6024	271	43	k	k	PROPN
ejpam-6024	271	44	1/2	1/2	NUM
ejpam-6024	271	45	ρ	ρ	PROPN
ejpam-6024	271	46	a(n	a(n	NOUN
ejpam-6024	271	47	/	/	SYM
ejpam-6024	271	48	kρ	kρ	PROPN
ejpam-6024	271	49	)	)	PUNCT
ejpam-6024	271	50	→	→	SYM
ejpam-6024	271	51	∞	∞	PROPN
ejpam-6024	271	52	,	,	PUNCT
ejpam-6024	271	53	as	as	SCONJ
ejpam-6024	271	54	n	n	PROPN
ejpam-6024	271	55	→	→	PUNCT
ejpam-6024	271	56	∞.	∞.	PROPN
ejpam-6024	271	57	our	our	PRON
ejpam-6024	271	58	next	next	ADJ
ejpam-6024	271	59	goal	goal	NOUN
ejpam-6024	271	60	is	be	AUX
ejpam-6024	271	61	to	to	PART
ejpam-6024	271	62	establish	establish	VERB
ejpam-6024	271	63	,	,	PUNCT
ejpam-6024	271	64	under	under	ADP
ejpam-6024	271	65	suitable	suitable	ADJ
ejpam-6024	271	66	assumptions	assumption	NOUN
ejpam-6024	271	67	,	,	PUNCT
ejpam-6024	271	68	the	the	DET
ejpam-6024	271	69	asymptotic	asymptotic	ADJ
ejpam-6024	271	70	normality	normality	NOUN
ejpam-6024	271	71	of	of	ADP
ejpam-6024	271	72	π̃	π̃	PROPN
ejpam-6024	271	73	(	(	PUNCT
ejpam-6024	271	74	k	k	X
ejpam-6024	271	75	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	271	76	)	)	PUNCT
ejpam-6024	272	1	β	β	X
ejpam-6024	272	2	,	,	PUNCT
ejpam-6024	272	3	k	k	NOUN
ejpam-6024	272	4	,	,	PUNCT
ejpam-6024	272	5	n	n	CCONJ
ejpam-6024	272	6	,	,	PUNCT
ejpam-6024	272	7	ρ̂	ρ̂	NUM
ejpam-6024	272	8	.	.	PUNCT
ejpam-6024	273	1	this	this	PRON
ejpam-6024	273	2	is	be	AUX
ejpam-6024	273	3	done	do	VERB
ejpam-6024	273	4	in	in	ADP
ejpam-6024	273	5	the	the	DET
ejpam-6024	273	6	following	follow	VERB
ejpam-6024	273	7	theorem	theorem	PROPN
ejpam-6024	273	8	.	.	PUNCT
ejpam-6024	274	1	theorem	theorem	NOUN
ejpam-6024	274	2	2	2	NUM
ejpam-6024	274	3	.	.	PUNCT
ejpam-6024	275	1	under	under	ADP
ejpam-6024	275	2	the	the	DET
ejpam-6024	275	3	assumptions	assumption	NOUN
ejpam-6024	275	4	of	of	ADP
ejpam-6024	275	5	theorem	theorem	NOUN
ejpam-6024	275	6	1	1	NUM
ejpam-6024	275	7	,	,	PUNCT
ejpam-6024	275	8	if	if	SCONJ
ejpam-6024	275	9	ρ̂	ρ̂	NUM
ejpam-6024	275	10	is	be	AUX
ejpam-6024	275	11	either	either	CCONJ
ejpam-6024	275	12	a	a	DET
ejpam-6024	275	13	canonical	canonical	ADJ
ejpam-6024	275	14	negative	negative	ADJ
ejpam-6024	275	15	value	value	NOUN
ejpam-6024	275	16	ρ̂	ρ̂	NUM
ejpam-6024	275	17	=	=	SYM
ejpam-6024	275	18	ρ	ρ	PROPN
ejpam-6024	275	19	=	=	SYM
ejpam-6024	275	20	ρ0	ρ0	PROPN
ejpam-6024	275	21	or	or	CCONJ
ejpam-6024	275	22	an	an	DET
ejpam-6024	275	23	external	external	ADJ
ejpam-6024	275	24	estimator	estimator	NOUN
ejpam-6024	275	25	ρ̂	ρ̂	NUM
ejpam-6024	275	26	=	=	SYM
ejpam-6024	275	27	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	275	28	,	,	PUNCT
ejpam-6024	275	29	consistent	consistent	ADJ
ejpam-6024	275	30	in	in	ADP
ejpam-6024	275	31	probability	probability	NOUN
ejpam-6024	275	32	to	to	ADP
ejpam-6024	275	33	ρ	ρ	NUM
ejpam-6024	275	34	,	,	PUNCT
ejpam-6024	275	35	with	with	ADP
ejpam-6024	275	36	kρ	kρ	NOUN
ejpam-6024	275	37	:	:	PUNCT
ejpam-6024	275	38	=	=	NOUN
ejpam-6024	275	39	kρ(n	kρ(n	X
ejpam-6024	275	40	)	)	PUNCT
ejpam-6024	275	41	,	,	PUNCT
ejpam-6024	275	42	an	an	DET
ejpam-6024	275	43	intermediate	intermediate	ADJ
ejpam-6024	275	44	sequence	sequence	NOUN
ejpam-6024	275	45	of	of	ADP
ejpam-6024	275	46	integers	integer	NOUN
ejpam-6024	275	47	greater	great	ADJ
ejpam-6024	275	48	than	than	ADP
ejpam-6024	275	49	k	k	PROPN
ejpam-6024	275	50	,	,	PUNCT
ejpam-6024	275	51	satisfying	satisfy	VERB
ejpam-6024	275	52	kρ	kρ	NOUN
ejpam-6024	275	53	→	→	SYM
ejpam-6024	275	54	∞	∞	NUM
ejpam-6024	275	55	and	and	CCONJ
ejpam-6024	275	56	kρ	kρ	PROPN
ejpam-6024	275	57	/	/	SYM
ejpam-6024	275	58	n	n	PROPN
ejpam-6024	275	59	→	→	SYM
ejpam-6024	275	60	0	0	NUM
ejpam-6024	275	61	,	,	PUNCT
ejpam-6024	275	62	as	as	ADP
ejpam-6024	275	63	n	n	X
ejpam-6024	275	64	→	→	SYM
ejpam-6024	275	65	∞	∞	PROPN
ejpam-6024	275	66	,	,	PUNCT
ejpam-6024	275	67	then	then	ADV
ejpam-6024	275	68	we	we	PRON
ejpam-6024	275	69	have	have	VERB
ejpam-6024	275	70	:	:	PUNCT
ejpam-6024	275	71	√	√	PROPN
ejpam-6024	276	1	k	k	X
ejpam-6024	277	1	(	(	PUNCT
ejpam-6024	277	2	π̃	π̃	PROPN
ejpam-6024	277	3	(	(	PUNCT
ejpam-6024	277	4	k	k	X
ejpam-6024	277	5	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	277	6	)	)	PUNCT
ejpam-6024	278	1	β	β	X
ejpam-6024	278	2	,	,	PUNCT
ejpam-6024	278	3	k	k	PROPN
ejpam-6024	278	4	,	,	PUNCT
ejpam-6024	278	5	n	n	PROPN
ejpam-6024	278	6	ρ̂	ρ̂	NUM
ejpam-6024	278	7	−	−	PROPN
ejpam-6024	278	8	πβ	πβ	PROPN
ejpam-6024	278	9	,	,	PUNCT
ejpam-6024	278	10	n	n	NOUN
ejpam-6024	278	11	)	)	PUNCT
ejpam-6024	278	12	gβ(k	gβ(k	X
ejpam-6024	278	13	/	/	SYM
ejpam-6024	278	14	n)q(1−	n)q(1−	PROPN
ejpam-6024	278	15	k	k	PROPN
ejpam-6024	278	16	/	/	SYM
ejpam-6024	278	17	n	n	CCONJ
ejpam-6024	278	18	)	)	PUNCT
ejpam-6024	278	19	d→	d→	VERB
ejpam-6024	278	20	n	n	CCONJ
ejpam-6024	278	21	(	(	PUNCT
ejpam-6024	278	22	0	0	NUM
ejpam-6024	278	23	,	,	PUNCT
ejpam-6024	278	24	ãv(γ	ãv(γ	ADV
ejpam-6024	278	25	,	,	PUNCT
ejpam-6024	278	26	ρ	ρ	PROPN
ejpam-6024	278	27	,	,	PUNCT
ejpam-6024	278	28	α	α	NOUN
ejpam-6024	278	29	)	)	PUNCT
ejpam-6024	278	30	)	)	PUNCT
ejpam-6024	278	31	,	,	PUNCT
ejpam-6024	278	32	where	where	SCONJ
ejpam-6024	278	33	ãv(γ	ãv(γ	ADV
ejpam-6024	278	34	,	,	PUNCT
ejpam-6024	278	35	ρ	ρ	PROPN
ejpam-6024	278	36	,	,	PUNCT
ejpam-6024	278	37	α	α	NOUN
ejpam-6024	278	38	)	)	PUNCT
ejpam-6024	278	39	=	=	SYM
ejpam-6024	278	40	(	(	PUNCT
ejpam-6024	278	41	a0	a0	PROPN
ejpam-6024	278	42	)	)	PUNCT
ejpam-6024	278	43	2r(1	2r(1	NUM
ejpam-6024	278	44	,	,	PUNCT
ejpam-6024	278	45	1	1	NUM
ejpam-6024	278	46	)	)	PUNCT
ejpam-6024	278	47	+	+	CCONJ
ejpam-6024	278	48	(	(	PUNCT
ejpam-6024	278	49	a1	a1	NOUN
ejpam-6024	278	50	)	)	PUNCT
ejpam-6024	278	51	2	2	NUM
ejpam-6024	278	52	∫	∫	NOUN
ejpam-6024	278	53	∫	∫	PROPN
ejpam-6024	279	1	[	[	X
ejpam-6024	279	2	0,1]2	0,1]2	NUM
ejpam-6024	279	3	[	[	PUNCT
ejpam-6024	279	4	r(t	r(t	NOUN
ejpam-6024	279	5	,	,	PUNCT
ejpam-6024	279	6	s	s	NOUN
ejpam-6024	279	7	)	)	PUNCT
ejpam-6024	279	8	ts	ts	ADP
ejpam-6024	279	9	−	−	PROPN
ejpam-6024	279	10	r(t	r(t	NOUN
ejpam-6024	279	11	,	,	PUNCT
ejpam-6024	279	12	1	1	NUM
ejpam-6024	279	13	)	)	PUNCT
ejpam-6024	279	14	t	t	NOUN
ejpam-6024	279	15	−	−	PROPN
ejpam-6024	279	16	r(1	r(1	PROPN
ejpam-6024	279	17	,	,	PUNCT
ejpam-6024	279	18	s	s	PART
ejpam-6024	279	19	)	)	PUNCT
ejpam-6024	279	20	s	s	PART
ejpam-6024	279	21	+	+	CCONJ
ejpam-6024	279	22	r(1	r(1	PROPN
ejpam-6024	279	23	,	,	PUNCT
ejpam-6024	279	24	1	1	NUM
ejpam-6024	279	25	)	)	PUNCT
ejpam-6024	279	26	]	]	PUNCT
ejpam-6024	280	1	d	d	X
ejpam-6024	280	2	{	{	PUNCT
ejpam-6024	280	3	sk∆̂∗opt	sk∆̂∗opt	PROPN
ejpam-6024	280	4	(	(	PUNCT
ejpam-6024	280	5	s	s	NOUN
ejpam-6024	280	6	)	)	PUNCT
ejpam-6024	280	7	}	}	PUNCT
ejpam-6024	280	8	d	d	X
ejpam-6024	280	9	{	{	PUNCT
ejpam-6024	280	10	tk∆̂∗opt	tk∆̂∗opt	PROPN
ejpam-6024	280	11	(	(	PUNCT
ejpam-6024	280	12	t	t	PROPN
ejpam-6024	280	13	)	)	PUNCT
ejpam-6024	280	14	}	}	PUNCT
ejpam-6024	281	1	+	+	CCONJ
ejpam-6024	281	2	(	(	PUNCT
ejpam-6024	281	3	a3	a3	NOUN
ejpam-6024	281	4	)	)	PUNCT
ejpam-6024	281	5	2	2	NUM
ejpam-6024	281	6	∫	∫	NOUN
ejpam-6024	281	7	∫	∫	PROPN
ejpam-6024	282	1	[	[	X
ejpam-6024	282	2	0,1]2	0,1]2	NUM
ejpam-6024	282	3	[	[	PUNCT
ejpam-6024	282	4	r(t	r(t	NOUN
ejpam-6024	282	5	,	,	PUNCT
ejpam-6024	282	6	s	s	NOUN
ejpam-6024	282	7	)	)	PUNCT
ejpam-6024	282	8	ts	ts	ADP
ejpam-6024	282	9	−	−	PROPN
ejpam-6024	282	10	r(t	r(t	NOUN
ejpam-6024	282	11	,	,	PUNCT
ejpam-6024	282	12	1	1	NUM
ejpam-6024	282	13	)	)	PUNCT
ejpam-6024	282	14	t	t	NOUN
ejpam-6024	282	15	−	−	PROPN
ejpam-6024	282	16	r(1	r(1	PROPN
ejpam-6024	282	17	,	,	PUNCT
ejpam-6024	282	18	s	s	PART
ejpam-6024	282	19	)	)	PUNCT
ejpam-6024	282	20	s	s	PART
ejpam-6024	282	21	+	+	CCONJ
ejpam-6024	282	22	r(1	r(1	PROPN
ejpam-6024	282	23	,	,	PUNCT
ejpam-6024	282	24	1	1	NUM
ejpam-6024	282	25	)	)	PUNCT
ejpam-6024	282	26	]	]	PUNCT
ejpam-6024	283	1	d	d	X
ejpam-6024	283	2	{	{	PUNCT
ejpam-6024	283	3	s	s	X
ejpam-6024	283	4	(	(	PUNCT
ejpam-6024	283	5	1−k2,ρ(s	1−k2,ρ(s	NUM
ejpam-6024	283	6	)	)	PUNCT
ejpam-6024	283	7	)	)	PUNCT
ejpam-6024	283	8	}	}	PUNCT
ejpam-6024	284	1	d	d	X
ejpam-6024	284	2	{	{	PUNCT
ejpam-6024	284	3	t	t	PROPN
ejpam-6024	284	4	(	(	PUNCT
ejpam-6024	284	5	1−k2,ρ(t	1−k2,ρ(t	NUM
ejpam-6024	284	6	)	)	PUNCT
ejpam-6024	284	7	)	)	PUNCT
ejpam-6024	284	8	}	}	PUNCT
ejpam-6024	285	1	+	+	CCONJ
ejpam-6024	285	2	2a0	2a0	NUM
ejpam-6024	285	3	a1	a1	NOUN
ejpam-6024	285	4	∫	∫	PROPN
ejpam-6024	285	5	1	1	NUM
ejpam-6024	285	6	0	0	NUM
ejpam-6024	285	7	[	[	PUNCT
ejpam-6024	285	8	r(t	r(t	NOUN
ejpam-6024	285	9	,	,	PUNCT
ejpam-6024	285	10	1	1	NUM
ejpam-6024	285	11	)	)	PUNCT
ejpam-6024	285	12	t	t	NOUN
ejpam-6024	285	13	−	−	PROPN
ejpam-6024	285	14	r[1	r[1	PROPN
ejpam-6024	285	15	,	,	PUNCT
ejpam-6024	285	16	1	1	NUM
ejpam-6024	285	17	]	]	PUNCT
ejpam-6024	285	18	]	]	PUNCT
ejpam-6024	285	19	d	d	X
ejpam-6024	285	20	{	{	PUNCT
ejpam-6024	285	21	tk∆̂∗opt	tk∆̂∗opt	PROPN
ejpam-6024	285	22	(	(	PUNCT
ejpam-6024	285	23	t	t	PROPN
ejpam-6024	285	24	)	)	PUNCT
ejpam-6024	285	25	}	}	PUNCT
ejpam-6024	285	26	+	+	CCONJ
ejpam-6024	285	27	2a0	2a0	NUM
ejpam-6024	285	28	a3	a3	NOUN
ejpam-6024	285	29	∫	∫	PROPN
ejpam-6024	285	30	1	1	NUM
ejpam-6024	285	31	0	0	NUM
ejpam-6024	285	32	[	[	PUNCT
ejpam-6024	285	33	r(t	r(t	NOUN
ejpam-6024	285	34	,	,	PUNCT
ejpam-6024	285	35	1	1	NUM
ejpam-6024	285	36	)	)	PUNCT
ejpam-6024	285	37	t	t	NOUN
ejpam-6024	285	38	−	−	PROPN
ejpam-6024	285	39	r[1	r[1	PROPN
ejpam-6024	285	40	,	,	PUNCT
ejpam-6024	285	41	1	1	NUM
ejpam-6024	285	42	]	]	PUNCT
ejpam-6024	285	43	]	]	PUNCT
ejpam-6024	286	1	d	d	X
ejpam-6024	286	2	{	{	PUNCT
ejpam-6024	286	3	t	t	PROPN
ejpam-6024	286	4	(	(	PUNCT
ejpam-6024	286	5	1−k2,ρ(t	1−k2,ρ(t	NUM
ejpam-6024	286	6	)	)	PUNCT
ejpam-6024	286	7	)	)	PUNCT
ejpam-6024	286	8	}	}	PUNCT
ejpam-6024	287	1	+	+	CCONJ
ejpam-6024	287	2	2a1	2a1	NUM
ejpam-6024	287	3	a3	a3	NOUN
ejpam-6024	287	4	∫	∫	PROPN
ejpam-6024	287	5	∫	∫	PROPN
ejpam-6024	288	1	[	[	X
ejpam-6024	288	2	0,1]2	0,1]2	NUM
ejpam-6024	288	3	[	[	PUNCT
ejpam-6024	288	4	r(t	r(t	NOUN
ejpam-6024	288	5	,	,	PUNCT
ejpam-6024	288	6	s	s	NOUN
ejpam-6024	288	7	)	)	PUNCT
ejpam-6024	288	8	ts	ts	ADP
ejpam-6024	288	9	−	−	PROPN
ejpam-6024	288	10	r(t	r(t	NOUN
ejpam-6024	288	11	,	,	PUNCT
ejpam-6024	288	12	1	1	NUM
ejpam-6024	288	13	)	)	PUNCT
ejpam-6024	288	14	t	t	NOUN
ejpam-6024	288	15	−	−	PROPN
ejpam-6024	288	16	r(1	r(1	PROPN
ejpam-6024	288	17	,	,	PUNCT
ejpam-6024	288	18	s	s	PART
ejpam-6024	288	19	)	)	PUNCT
ejpam-6024	288	20	s	s	PART
ejpam-6024	288	21	+	+	CCONJ
ejpam-6024	288	22	r(1	r(1	PROPN
ejpam-6024	288	23	,	,	PUNCT
ejpam-6024	288	24	1	1	NUM
ejpam-6024	288	25	)	)	PUNCT
ejpam-6024	288	26	]	]	PUNCT
ejpam-6024	289	1	d	d	X
ejpam-6024	289	2	{	{	PUNCT
ejpam-6024	289	3	sk∆̂∗opt	sk∆̂∗opt	PROPN
ejpam-6024	289	4	(	(	PUNCT
ejpam-6024	289	5	s	s	NOUN
ejpam-6024	289	6	)	)	PUNCT
ejpam-6024	289	7	}	}	PUNCT
ejpam-6024	289	8	d	d	X
ejpam-6024	289	9	{	{	PUNCT
ejpam-6024	289	10	t	t	PROPN
ejpam-6024	289	11	(	(	PUNCT
ejpam-6024	289	12	1−k2,ρ(t	1−k2,ρ(t	NUM
ejpam-6024	289	13	)	)	PUNCT
ejpam-6024	289	14	)	)	PUNCT
ejpam-6024	289	15	}	}	PUNCT
ejpam-6024	289	16	,	,	PUNCT
ejpam-6024	289	17	with	with	ADP
ejpam-6024	289	18	a0	a0	PROPN
ejpam-6024	289	19	=	=	PUNCT
ejpam-6024	289	20	βγ2	βγ2	PROPN
ejpam-6024	289	21	1−	1−	NUM
ejpam-6024	289	22	βγ	βγ	NOUN
ejpam-6024	289	23	,	,	PUNCT
ejpam-6024	289	24	a1	a1	NOUN
ejpam-6024	289	25	=	=	SYM
ejpam-6024	289	26	βγ	βγ	PROPN
ejpam-6024	289	27	(	(	PUNCT
ejpam-6024	289	28	1−	1−	NUM
ejpam-6024	289	29	βγ)2	βγ)2	PROPN
ejpam-6024	289	30	and	and	CCONJ
ejpam-6024	289	31	a3	a3	PROPN
ejpam-6024	289	32	=	=	PUNCT
ejpam-6024	289	33	−	−	PROPN
ejpam-6024	290	1	βγ(1−	βγ(1−	PUNCT
ejpam-6024	290	2	ρ)(1−	ρ)(1−	NUM
ejpam-6024	290	3	2ρ	2ρ	NOUN
ejpam-6024	290	4	)	)	PUNCT
ejpam-6024	291	1	ρ2(1−	ρ2(1−	ADP
ejpam-6024	291	2	βγ)(1−	βγ)(1−	PROPN
ejpam-6024	291	3	β	β	X
ejpam-6024	291	4	γ	γ	X
ejpam-6024	291	5	−	−	PROPN
ejpam-6024	291	6	β	β	X
ejpam-6024	291	7	ρ	ρ	PROPN
ejpam-6024	291	8	)	)	PUNCT
ejpam-6024	291	9	.	.	PUNCT
ejpam-6024	292	1	a.	a.	NOUN
ejpam-6024	292	2	aghrabatt	aghrabatt	PROPN
ejpam-6024	292	3	et	et	PROPN
ejpam-6024	292	4	al	al	PROPN
ejpam-6024	292	5	.	.	PUNCT
ejpam-6024	292	6	/	/	SYM
ejpam-6024	292	7	eur	eur	PROPN
ejpam-6024	292	8	.	.	PUNCT
ejpam-6024	293	1	j.	j.	PROPN
ejpam-6024	293	2	pure	pure	PROPN
ejpam-6024	293	3	appl	appl	PROPN
ejpam-6024	293	4	.	.	PROPN
ejpam-6024	293	5	math	math	PROPN
ejpam-6024	293	6	,	,	PUNCT
ejpam-6024	293	7	18	18	NUM
ejpam-6024	293	8	(	(	PUNCT
ejpam-6024	293	9	2	2	NUM
ejpam-6024	293	10	)	)	PUNCT
ejpam-6024	293	11	(	(	PUNCT
ejpam-6024	293	12	2025	2025	NUM
ejpam-6024	293	13	)	)	PUNCT
ejpam-6024	293	14	,	,	PUNCT
ejpam-6024	293	15	6024	6024	NUM
ejpam-6024	293	16	14	14	NUM
ejpam-6024	293	17	of	of	ADP
ejpam-6024	293	18	25	25	NUM
ejpam-6024	293	19	4	4	NUM
ejpam-6024	293	20	.	.	PUNCT
ejpam-6024	293	21	simulation	simulation	NOUN
ejpam-6024	293	22	study	study	NOUN
ejpam-6024	293	23	in	in	ADP
ejpam-6024	293	24	this	this	DET
ejpam-6024	293	25	section	section	NOUN
ejpam-6024	293	26	,	,	PUNCT
ejpam-6024	293	27	the	the	DET
ejpam-6024	293	28	class	class	NOUN
ejpam-6024	293	29	of	of	ADP
ejpam-6024	293	30	biased	biased	ADJ
ejpam-6024	293	31	estimator	estimator	NOUN
ejpam-6024	293	32	π̂	π̂	NUM
ejpam-6024	293	33	(	(	PUNCT
ejpam-6024	293	34	k	k	NOUN
ejpam-6024	293	35	)	)	PUNCT
ejpam-6024	293	36	β	β	NOUN
ejpam-6024	293	37	,	,	PUNCT
ejpam-6024	293	38	k	k	NOUN
ejpam-6024	293	39	,	,	PUNCT
ejpam-6024	293	40	n	n	PROPN
ejpam-6024	293	41	and	and	CCONJ
ejpam-6024	293	42	the	the	DET
ejpam-6024	293	43	reduced	reduce	VERB
ejpam-6024	293	44	-	-	PUNCT
ejpam-6024	293	45	bias	bias	NOUN
ejpam-6024	293	46	estimator	estimator	NOUN
ejpam-6024	293	47	π̃	π̃	PROPN
ejpam-6024	293	48	(	(	PUNCT
ejpam-6024	293	49	k	k	PROPN
ejpam-6024	293	50	∆̂∗opt	∆̂∗opt	PROPN
ejpam-6024	293	51	)	)	PUNCT
ejpam-6024	294	1	β	β	X
ejpam-6024	294	2	,	,	PUNCT
ejpam-6024	294	3	k	k	NOUN
ejpam-6024	294	4	,	,	PUNCT
ejpam-6024	294	5	n	n	CCONJ
ejpam-6024	294	6	,	,	PUNCT
ejpam-6024	294	7	ρ̂	ρ̂	NUM
ejpam-6024	294	8	of	of	ADP
ejpam-6024	294	9	the	the	DET
ejpam-6024	294	10	distortion	distortion	NOUN
ejpam-6024	294	11	risk	risk	NOUN
ejpam-6024	294	12	measure	measure	NOUN
ejpam-6024	294	13	πβ	πβ	NOUN
ejpam-6024	294	14	,	,	PUNCT
ejpam-6024	294	15	n	n	X
ejpam-6024	294	16	with	with	ADP
ejpam-6024	294	17	optimal	optimal	ADJ
ejpam-6024	294	18	retention	retention	NOUN
ejpam-6024	294	19	level	level	NOUN
ejpam-6024	294	20	q(1−	q(1−	NOUN
ejpam-6024	294	21	k	k	NOUN
ejpam-6024	294	22	/	/	SYM
ejpam-6024	294	23	n	n	CCONJ
ejpam-6024	294	24	)	)	PUNCT
ejpam-6024	294	25	are	be	AUX
ejpam-6024	294	26	compared	compare	VERB
ejpam-6024	294	27	in	in	ADP
ejpam-6024	294	28	a	a	DET
ejpam-6024	294	29	simulation	simulation	NOUN
ejpam-6024	294	30	study	study	NOUN
ejpam-6024	294	31	.	.	PUNCT
ejpam-6024	295	1	to	to	ADP
ejpam-6024	295	2	this	this	DET
ejpam-6024	295	3	end	end	NOUN
ejpam-6024	295	4	,	,	PUNCT
ejpam-6024	295	5	we	we	PRON
ejpam-6024	295	6	consider	consider	VERB
ejpam-6024	295	7	the	the	DET
ejpam-6024	295	8	following	follow	VERB
ejpam-6024	295	9	classical	classical	ADJ
ejpam-6024	295	10	stationary	stationary	ADJ
ejpam-6024	295	11	models	model	NOUN
ejpam-6024	295	12	,	,	PUNCT
ejpam-6024	295	13	which	which	PRON
ejpam-6024	295	14	satisfy	satisfy	VERB
ejpam-6024	295	15	the	the	DET
ejpam-6024	295	16	regularity	regularity	NOUN
ejpam-6024	295	17	(	(	PUNCT
ejpam-6024	295	18	cr	cr	NOUN
ejpam-6024	295	19	)	)	PUNCT
ejpam-6024	295	20	assumptions	assumption	NOUN
ejpam-6024	295	21	:	:	PUNCT
ejpam-6024	295	22	•	•	PRON
ejpam-6024	295	23	(	(	PUNCT
ejpam-6024	295	24	autoregressive	autoregressive	ADJ
ejpam-6024	295	25	(	(	PUNCT
ejpam-6024	295	26	ar	ar	NOUN
ejpam-6024	295	27	)	)	PUNCT
ejpam-6024	295	28	model	model	NOUN
ejpam-6024	295	29	):	):	PUNCT
ejpam-6024	295	30	consider	consider	VERB
ejpam-6024	295	31	first	first	ADV
ejpam-6024	295	32	the	the	DET
ejpam-6024	295	33	stationary	stationary	ADJ
ejpam-6024	295	34	solution	solution	NOUN
ejpam-6024	295	35	of	of	ADP
ejpam-6024	295	36	the	the	DET
ejpam-6024	295	37	ar(1	ar(1	NOUN
ejpam-6024	295	38	)	)	PUNCT
ejpam-6024	295	39	equation	equation	NOUN
ejpam-6024	295	40	:	:	PUNCT
ejpam-6024	296	1	xi	xi	PROPN
ejpam-6024	296	2	=	=	PUNCT
ejpam-6024	296	3	θxi−1	θxi−1	PROPN
ejpam-6024	296	4	+	+	CCONJ
ejpam-6024	296	5	zi	zi	PROPN
ejpam-6024	296	6	,	,	PUNCT
ejpam-6024	296	7	i	i	PRON
ejpam-6024	296	8	=	=	NOUN
ejpam-6024	296	9	1	1	NUM
ejpam-6024	296	10	,	,	PUNCT
ejpam-6024	296	11	...	...	PUNCT
ejpam-6024	296	12	,	,	PUNCT
ejpam-6024	296	13	n	n	CCONJ
ejpam-6024	296	14	,	,	PUNCT
ejpam-6024	296	15	(	(	PUNCT
ejpam-6024	296	16	27	27	NUM
ejpam-6024	296	17	)	)	PUNCT
ejpam-6024	296	18	for	for	ADP
ejpam-6024	296	19	some	some	DET
ejpam-6024	296	20	θ	θ	NOUN
ejpam-6024	296	21	∈	∈	PROPN
ejpam-6024	296	22	(	(	PUNCT
ejpam-6024	296	23	0	0	NUM
ejpam-6024	296	24	,	,	PUNCT
ejpam-6024	296	25	1	1	NUM
ejpam-6024	296	26	)	)	PUNCT
ejpam-6024	296	27	and	and	CCONJ
ejpam-6024	296	28	i.i.d	i.i.d	ADJ
ejpam-6024	296	29	.	.	PUNCT
ejpam-6024	297	1	random	random	ADJ
ejpam-6024	297	2	variables	variable	NOUN
ejpam-6024	297	3	zi	zi	PROPN
ejpam-6024	297	4	.	.	PUNCT
ejpam-6024	298	1	the	the	DET
ejpam-6024	298	2	distribution	distribution	NOUN
ejpam-6024	298	3	function	function	NOUN
ejpam-6024	298	4	of	of	ADP
ejpam-6024	298	5	the	the	DET
ejpam-6024	298	6	innovations	innovation	NOUN
ejpam-6024	298	7	zi	zi	PROPN
ejpam-6024	298	8	is	be	AUX
ejpam-6024	298	9	denoted	denote	VERB
ejpam-6024	298	10	by	by	ADP
ejpam-6024	298	11	fz	fz	NOUN
ejpam-6024	298	12	.	.	PUNCT
ejpam-6024	299	1	assume	assume	VERB
ejpam-6024	299	2	that	that	SCONJ
ejpam-6024	299	3	fz	fz	PROPN
ejpam-6024	299	4	admits	admit	VERB
ejpam-6024	299	5	a	a	DET
ejpam-6024	299	6	positive	positive	ADJ
ejpam-6024	299	7	lebesgue	lebesgue	NOUN
ejpam-6024	299	8	density	density	NOUN
ejpam-6024	299	9	which	which	PRON
ejpam-6024	299	10	is	be	AUX
ejpam-6024	299	11	l1	l1	PROPN
ejpam-6024	299	12	lipschiz	lipschiz	PROPN
ejpam-6024	299	13	-	-	PUNCT
ejpam-6024	299	14	continuous	continuous	ADJ
ejpam-6024	299	15	;	;	PUNCT
ejpam-6024	299	16	see	see	VERB
ejpam-6024	299	17	[	[	X
ejpam-6024	299	18	27	27	NUM
ejpam-6024	299	19	]	]	SYM
ejpam-6024	299	20	eq	eq	NOUN
ejpam-6024	299	21	.	.	PUNCT
ejpam-6024	300	1	(	(	PUNCT
ejpam-6024	300	2	42	42	NUM
ejpam-6024	300	3	)	)	PUNCT
ejpam-6024	300	4	.	.	PUNCT
ejpam-6024	301	1	suppose	suppose	VERB
ejpam-6024	301	2	that	that	SCONJ
ejpam-6024	301	3	as	as	ADP
ejpam-6024	301	4	x	x	X
ejpam-6024	301	5	→	→	SYM
ejpam-6024	301	6	∞	∞	PROPN
ejpam-6024	301	7	,	,	PUNCT
ejpam-6024	301	8	1	1	NUM
ejpam-6024	301	9	−	−	NOUN
ejpam-6024	301	10	fz(x	fz(x	NOUN
ejpam-6024	301	11	)	)	PUNCT
ejpam-6024	301	12	∼	∼	NOUN
ejpam-6024	301	13	px−1	px−1	NOUN
ejpam-6024	301	14	/	/	SYM
ejpam-6024	301	15	γℓ(x	γℓ(x	NUM
ejpam-6024	301	16	)	)	PUNCT
ejpam-6024	301	17	and	and	CCONJ
ejpam-6024	301	18	fz(−x	fz(−x	NOUN
ejpam-6024	301	19	)	)	PUNCT
ejpam-6024	301	20	∼	∼	NOUN
ejpam-6024	301	21	qx−1	qx−1	NOUN
ejpam-6024	301	22	/	/	SYM
ejpam-6024	301	23	γℓ(x	γℓ(x	NUM
ejpam-6024	301	24	)	)	PUNCT
ejpam-6024	301	25	,	,	PUNCT
ejpam-6024	301	26	for	for	ADP
ejpam-6024	301	27	some	some	DET
ejpam-6024	301	28	slowly	slowly	ADV
ejpam-6024	301	29	varying	vary	VERB
ejpam-6024	301	30	function	function	NOUN
ejpam-6024	301	31	ℓ	ℓ	NOUN
ejpam-6024	301	32	and	and	CCONJ
ejpam-6024	301	33	p	p	NOUN
ejpam-6024	301	34	=	=	NOUN
ejpam-6024	301	35	1	1	NUM
ejpam-6024	301	36	−	−	NOUN
ejpam-6024	301	37	q	q	PROPN
ejpam-6024	301	38	∈	∈	PROPN
ejpam-6024	301	39	(	(	PUNCT
ejpam-6024	301	40	0	0	NUM
ejpam-6024	301	41	,	,	PUNCT
ejpam-6024	301	42	1	1	NUM
ejpam-6024	301	43	)	)	PUNCT
ejpam-6024	301	44	.	.	PUNCT
ejpam-6024	302	1	then	then	ADV
ejpam-6024	302	2	from	from	ADP
ejpam-6024	302	3	sect	sect	NOUN
ejpam-6024	302	4	.	.	PUNCT
ejpam-6024	303	1	3.2	3.2	NUM
ejpam-6024	303	2	of	of	ADP
ejpam-6024	303	3	[	[	X
ejpam-6024	303	4	27	27	NUM
ejpam-6024	303	5	]	]	PUNCT
ejpam-6024	303	6	,	,	PUNCT
ejpam-6024	303	7	we	we	PRON
ejpam-6024	303	8	get	get	VERB
ejpam-6024	303	9	that	that	PRON
ejpam-6024	303	10	1	1	NUM
ejpam-6024	303	11	−	−	PROPN
ejpam-6024	304	1	f	f	X
ejpam-6024	304	2	(	(	PUNCT
ejpam-6024	304	3	x	x	X
ejpam-6024	304	4	)	)	PUNCT
ejpam-6024	304	5	∼	∼	NOUN
ejpam-6024	304	6	dθ(1	dθ(1	NOUN
ejpam-6024	304	7	−	−	NOUN
ejpam-6024	304	8	fz(x	fz(x	NOUN
ejpam-6024	304	9	)	)	PUNCT
ejpam-6024	304	10	)	)	PUNCT
ejpam-6024	304	11	,	,	PUNCT
ejpam-6024	304	12	as	as	ADP
ejpam-6024	304	13	x	x	X
ejpam-6024	304	14	−→	−→	NOUN
ejpam-6024	304	15	∞	∞	PROPN
ejpam-6024	304	16	,	,	PUNCT
ejpam-6024	304	17	where	where	SCONJ
ejpam-6024	304	18	dθ	dθ	PROPN
ejpam-6024	304	19	=	=	X
ejpam-6024	304	20	(	(	PUNCT
ejpam-6024	304	21	1	1	NUM
ejpam-6024	304	22	−	−	PROPN
ejpam-6024	304	23	θ1	θ1	NOUN
ejpam-6024	304	24	/	/	SYM
ejpam-6024	304	25	γ)−1	γ)−1	NOUN
ejpam-6024	304	26	.	.	PUNCT
ejpam-6024	305	1	furthermore	furthermore	ADV
ejpam-6024	305	2	,	,	PUNCT
ejpam-6024	305	3	the	the	DET
ejpam-6024	305	4	regularity	regularity	NOUN
ejpam-6024	305	5	conditions	condition	NOUN
ejpam-6024	305	6	hold	hold	VERB
ejpam-6024	305	7	with/	with/	NUM
ejpam-6024	305	8	r(x	r(x	PROPN
ejpam-6024	305	9	,	,	PUNCT
ejpam-6024	305	10	y	y	NOUN
ejpam-6024	305	11	)	)	PUNCT
ejpam-6024	305	12	=	=	PUNCT
ejpam-6024	306	1	x	x	PUNCT
ejpam-6024	306	2	∧	∧	NOUN
ejpam-6024	306	3	y	y	PROPN
ejpam-6024	306	4	+	+	PROPN
ejpam-6024	306	5	∑∞	∑∞	X
ejpam-6024	306	6	m=1	m=1	X
ejpam-6024	306	7	(	(	PUNCT
ejpam-6024	306	8	cm(x	cm(x	X
ejpam-6024	306	9	,	,	PUNCT
ejpam-6024	306	10	y	y	PROPN
ejpam-6024	306	11	)	)	PUNCT
ejpam-6024	306	12	+	+	CCONJ
ejpam-6024	306	13	cm(y	cm(y	NOUN
ejpam-6024	306	14	,	,	PUNCT
ejpam-6024	306	15	x	x	NOUN
ejpam-6024	306	16	)	)	PUNCT
ejpam-6024	306	17	)	)	PUNCT
ejpam-6024	306	18	,	,	PUNCT
ejpam-6024	306	19	where	where	SCONJ
ejpam-6024	306	20	cm(x	cm(x	NOUN
ejpam-6024	306	21	,	,	PUNCT
ejpam-6024	306	22	y	y	NOUN
ejpam-6024	306	23	)	)	PUNCT
ejpam-6024	306	24	=	=	PUNCT
ejpam-6024	307	1	x	x	SYM
ejpam-6024	307	2	∧	∧	PROPN
ejpam-6024	307	3	yθm	yθm	PROPN
ejpam-6024	307	4	/	/	SYM
ejpam-6024	307	5	γ	γ	NOUN
ejpam-6024	307	6	.	.	PUNCT
ejpam-6024	308	1	•	•	NUM
ejpam-6024	308	2	(	(	PUNCT
ejpam-6024	308	3	moving	move	VERB
ejpam-6024	308	4	average	average	ADJ
ejpam-6024	308	5	(	(	PUNCT
ejpam-6024	308	6	ma	ma	PROPN
ejpam-6024	308	7	)	)	PUNCT
ejpam-6024	308	8	model	model	NOUN
ejpam-6024	308	9	):	):	PUNCT
ejpam-6024	308	10	consider	consider	VERB
ejpam-6024	308	11	the	the	DET
ejpam-6024	308	12	stationary	stationary	ADJ
ejpam-6024	308	13	solution	solution	NOUN
ejpam-6024	308	14	of	of	ADP
ejpam-6024	308	15	ma(1	ma(1	NOUN
ejpam-6024	308	16	)	)	PUNCT
ejpam-6024	308	17	equation	equation	NOUN
ejpam-6024	308	18	:	:	PUNCT
ejpam-6024	308	19	xi	xi	PROPN
ejpam-6024	308	20	=	=	PUNCT
ejpam-6024	308	21	θzi−1	θzi−1	PROPN
ejpam-6024	308	22	+	+	CCONJ
ejpam-6024	308	23	zi	zi	PROPN
ejpam-6024	308	24	,	,	PUNCT
ejpam-6024	308	25	i	i	PRON
ejpam-6024	308	26	=	=	NOUN
ejpam-6024	308	27	1	1	NUM
ejpam-6024	308	28	,	,	PUNCT
ejpam-6024	308	29	...	...	PUNCT
ejpam-6024	308	30	,	,	PUNCT
ejpam-6024	308	31	n	n	CCONJ
ejpam-6024	308	32	;	;	PUNCT
ejpam-6024	308	33	(	(	PUNCT
ejpam-6024	308	34	28	28	NUM
ejpam-6024	308	35	)	)	PUNCT
ejpam-6024	308	36	where	where	SCONJ
ejpam-6024	308	37	the	the	DET
ejpam-6024	308	38	innovation	innovation	NOUN
ejpam-6024	308	39	zi	zi	PROPN
ejpam-6024	308	40	satisfies	satisfy	VERB
ejpam-6024	308	41	the	the	DET
ejpam-6024	308	42	same	same	ADJ
ejpam-6024	308	43	conditions	condition	NOUN
ejpam-6024	308	44	as	as	ADP
ejpam-6024	308	45	in	in	ADP
ejpam-6024	308	46	the	the	DET
ejpam-6024	308	47	above	above	ADP
ejpam-6024	308	48	ar(1	ar(1	PROPN
ejpam-6024	308	49	)	)	PUNCT
ejpam-6024	308	50	model	model	NOUN
ejpam-6024	308	51	.	.	PUNCT
ejpam-6024	309	1	and	and	CCONJ
ejpam-6024	309	2	from	from	ADP
ejpam-6024	309	3	sect	sect	NOUN
ejpam-6024	309	4	.	.	PUNCT
ejpam-6024	310	1	3.2	3.2	NUM
ejpam-6024	310	2	of	of	ADP
ejpam-6024	310	3	[	[	X
ejpam-6024	310	4	27	27	NUM
ejpam-6024	310	5	]	]	PUNCT
ejpam-6024	310	6	,	,	PUNCT
ejpam-6024	310	7	we	we	PRON
ejpam-6024	310	8	obtain	obtain	VERB
ejpam-6024	310	9	1−f	1−f	NUM
ejpam-6024	310	10	(	(	PUNCT
ejpam-6024	310	11	x	x	NOUN
ejpam-6024	310	12	)	)	PUNCT
ejpam-6024	310	13	∼	∼	NOUN
ejpam-6024	310	14	dθ(1−fz(x	dθ(1−fz(x	NOUN
ejpam-6024	310	15	)	)	PUNCT
ejpam-6024	310	16	)	)	PUNCT
ejpam-6024	310	17	as	as	ADP
ejpam-6024	310	18	x	x	X
ejpam-6024	310	19	→	→	SYM
ejpam-6024	310	20	∞	∞	PROPN
ejpam-6024	310	21	,	,	PUNCT
ejpam-6024	310	22	where	where	SCONJ
ejpam-6024	310	23	dθ	dθ	PROPN
ejpam-6024	310	24	=	=	PROPN
ejpam-6024	310	25	1+θ1	1+θ1	PROPN
ejpam-6024	310	26	/	/	SYM
ejpam-6024	310	27	γ	γ	X
ejpam-6024	310	28	.	.	PUNCT
ejpam-6024	311	1	one	one	PRON
ejpam-6024	311	2	can	can	AUX
ejpam-6024	311	3	also	also	ADV
ejpam-6024	311	4	compute	compute	VERB
ejpam-6024	311	5	the	the	DET
ejpam-6024	311	6	covariance	covariance	NOUN
ejpam-6024	311	7	structure	structure	NOUN
ejpam-6024	311	8	as	as	ADP
ejpam-6024	311	9	:	:	PUNCT
ejpam-6024	311	10	r(x	r(x	PROPN
ejpam-6024	311	11	,	,	PUNCT
ejpam-6024	311	12	y	y	NOUN
ejpam-6024	311	13	)	)	PUNCT
ejpam-6024	311	14	=	=	PUNCT
ejpam-6024	312	1	x	x	PUNCT
ejpam-6024	312	2	∧	∧	NOUN
ejpam-6024	312	3	y	y	PROPN
ejpam-6024	312	4	+	+	CCONJ
ejpam-6024	312	5	(	(	PUNCT
ejpam-6024	312	6	1	1	NUM
ejpam-6024	312	7	+	+	NUM
ejpam-6024	312	8	θ1	θ1	NOUN
ejpam-6024	312	9	/	/	SYM
ejpam-6024	312	10	γ)−1(x	γ)−1(x	PROPN
ejpam-6024	312	11	∧	∧	NOUN
ejpam-6024	312	12	yθ1	yθ1	PROPN
ejpam-6024	312	13	/	/	SYM
ejpam-6024	312	14	γ	γ	PROPN
ejpam-6024	312	15	+	+	PROPN
ejpam-6024	312	16	y	y	PROPN
ejpam-6024	312	17	∧	∧	PROPN
ejpam-6024	312	18	xθ1	xθ1	PROPN
ejpam-6024	312	19	/	/	SYM
ejpam-6024	312	20	γ	γ	NOUN
ejpam-6024	312	21	)	)	PUNCT
ejpam-6024	312	22	.	.	PUNCT
ejpam-6024	313	1	now	now	ADV
ejpam-6024	313	2	,	,	PUNCT
ejpam-6024	313	3	we	we	PRON
ejpam-6024	313	4	proceed	proceed	VERB
ejpam-6024	313	5	by	by	ADP
ejpam-6024	313	6	generating	generate	VERB
ejpam-6024	313	7	the	the	DET
ejpam-6024	313	8	data	datum	NOUN
ejpam-6024	313	9	for	for	ADP
ejpam-6024	313	10	the	the	DET
ejpam-6024	313	11	three	three	NUM
ejpam-6024	313	12	(	(	PUNCT
ejpam-6024	313	13	03	03	NUM
ejpam-6024	313	14	)	)	PUNCT
ejpam-6024	313	15	models	model	NOUN
ejpam-6024	313	16	.	.	PUNCT
ejpam-6024	314	1	this	this	PRON
ejpam-6024	314	2	involves	involve	VERB
ejpam-6024	314	3	an	an	DET
ejpam-6024	314	4	independent	independent	ADJ
ejpam-6024	314	5	model	model	NOUN
ejpam-6024	314	6	and	and	CCONJ
ejpam-6024	314	7	the	the	DET
ejpam-6024	314	8	two	two	NUM
ejpam-6024	314	9	models	model	NOUN
ejpam-6024	314	10	mentioned	mention	VERB
ejpam-6024	314	11	above	above	ADV
ejpam-6024	314	12	.	.	PUNCT
ejpam-6024	315	1	we	we	PRON
ejpam-6024	315	2	first	first	ADV
ejpam-6024	315	3	generate	generate	VERB
ejpam-6024	315	4	the	the	DET
ejpam-6024	315	5	i.i.d	i.i.d	ADJ
ejpam-6024	315	6	innovations	innovation	NOUN
ejpam-6024	315	7	(	(	PUNCT
ejpam-6024	315	8	z1	z1	PROPN
ejpam-6024	315	9	,	,	PUNCT
ejpam-6024	315	10	...	...	PUNCT
ejpam-6024	315	11	,	,	PUNCT
ejpam-6024	315	12	zn	zn	X
ejpam-6024	315	13	)	)	PUNCT
ejpam-6024	315	14	,	,	PUNCT
ejpam-6024	315	15	such	such	ADJ
ejpam-6024	315	16	that	that	PRON
ejpam-6024	315	17	:	:	PUNCT
ejpam-6024	315	18	fz(z	fz(z	NUM
ejpam-6024	315	19	)	)	PUNCT
ejpam-6024	316	1	=	=	PRON
ejpam-6024	316	2	{	{	PUNCT
ejpam-6024	316	3	(	(	PUNCT
ejpam-6024	316	4	1−	1−	NUM
ejpam-6024	316	5	q)(1−	q)(1−	PROPN
ejpam-6024	316	6	f̃	f̃	PROPN
ejpam-6024	316	7	(	(	PUNCT
ejpam-6024	316	8	−z	−z	NOUN
ejpam-6024	316	9	)	)	PUNCT
ejpam-6024	316	10	)	)	PUNCT
ejpam-6024	317	1	if	if	SCONJ
ejpam-6024	317	2	z	z	PROPN
ejpam-6024	317	3	<	<	X
ejpam-6024	317	4	0	0	NUM
ejpam-6024	317	5	,	,	PUNCT
ejpam-6024	317	6	1−	1−	NUM
ejpam-6024	317	7	q	q	NOUN
ejpam-6024	318	1	+	+	NUM
ejpam-6024	318	2	qf̃	qf̃	NOUN
ejpam-6024	318	3	(	(	PUNCT
ejpam-6024	318	4	z	z	NOUN
ejpam-6024	318	5	)	)	PUNCT
ejpam-6024	318	6	)	)	PUNCT
ejpam-6024	319	1	if	if	SCONJ
ejpam-6024	319	2	z	z	PROPN
ejpam-6024	319	3	>	>	X
ejpam-6024	319	4	0	0	NUM
ejpam-6024	319	5	,	,	PUNCT
ejpam-6024	319	6	where	where	SCONJ
ejpam-6024	319	7	f̃	f̃	PROPN
ejpam-6024	319	8	stands	stand	VERB
ejpam-6024	319	9	for	for	ADP
ejpam-6024	319	10	the	the	DET
ejpam-6024	319	11	fréchet	fréchet	NOUN
ejpam-6024	319	12	distribution	distribution	NOUN
ejpam-6024	319	13	function	function	NOUN
ejpam-6024	319	14	f̃	f̃	PROPN
ejpam-6024	319	15	(	(	PUNCT
ejpam-6024	319	16	z	z	NOUN
ejpam-6024	319	17	)	)	PUNCT
ejpam-6024	319	18	=	=	SYM
ejpam-6024	319	19	exp((−z)−1	exp((−z)−1	NOUN
ejpam-6024	319	20	/	/	SYM
ejpam-6024	319	21	γ	γ	NOUN
ejpam-6024	319	22	)	)	PUNCT
ejpam-6024	319	23	for	for	ADP
ejpam-6024	319	24	z	z	PROPN
ejpam-6024	319	25	>	>	X
ejpam-6024	319	26	0	0	NUM
ejpam-6024	319	27	,	,	PUNCT
ejpam-6024	319	28	and	and	CCONJ
ejpam-6024	319	29	p	p	X
ejpam-6024	319	30	=	=	NOUN
ejpam-6024	319	31	0.75	0.75	NUM
ejpam-6024	319	32	.	.	PUNCT
ejpam-6024	320	1	then	then	ADV
ejpam-6024	320	2	fz	fz	VERB
ejpam-6024	320	3	belongs	belong	VERB
ejpam-6024	320	4	to	to	ADP
ejpam-6024	320	5	the	the	DET
ejpam-6024	320	6	domain	domain	NOUN
ejpam-6024	320	7	of	of	ADP
ejpam-6024	320	8	attraction	attraction	NOUN
ejpam-6024	320	9	with	with	ADP
ejpam-6024	320	10	extreme	extreme	ADJ
ejpam-6024	320	11	value	value	NOUN
ejpam-6024	320	12	index	index	NOUN
ejpam-6024	320	13	γ	γ	X
ejpam-6024	320	14	>	>	X
ejpam-6024	320	15	0	0	NUM
ejpam-6024	320	16	.	.	PUNCT
ejpam-6024	321	1	in	in	ADP
ejpam-6024	321	2	the	the	DET
ejpam-6024	321	3	following	follow	VERB
ejpam-6024	321	4	table	table	NOUN
ejpam-6024	321	5	,	,	PUNCT
ejpam-6024	321	6	we	we	PRON
ejpam-6024	321	7	generate	generate	VERB
ejpam-6024	321	8	the	the	DET
ejpam-6024	321	9	three	three	NUM
ejpam-6024	321	10	(	(	PUNCT
ejpam-6024	321	11	03	03	NUM
ejpam-6024	321	12	)	)	PUNCT
ejpam-6024	321	13	time	time	NOUN
ejpam-6024	321	14	series	series	NOUN
ejpam-6024	321	15	models	model	NOUN
ejpam-6024	321	16	under	under	ADP
ejpam-6024	321	17	simulation	simulation	NOUN
ejpam-6024	321	18	with	with	ADP
ejpam-6024	321	19	their	their	PRON
ejpam-6024	321	20	tail	tail	NOUN
ejpam-6024	321	21	distribution	distribution	NOUN
ejpam-6024	321	22	,	,	PUNCT
ejpam-6024	321	23	which	which	PRON
ejpam-6024	321	24	are	be	AUX
ejpam-6024	321	25	needed	need	VERB
ejpam-6024	321	26	to	to	PART
ejpam-6024	321	27	compute	compute	VERB
ejpam-6024	321	28	the	the	DET
ejpam-6024	321	29	true	true	ADJ
ejpam-6024	321	30	distortion	distortion	NOUN
ejpam-6024	321	31	risk	risk	NOUN
ejpam-6024	321	32	premiums	premium	NOUN
ejpam-6024	321	33	:	:	PUNCT
ejpam-6024	321	34	for	for	ADP
ejpam-6024	321	35	each	each	DET
ejpam-6024	321	36	generating	generate	VERB
ejpam-6024	321	37	model	model	NOUN
ejpam-6024	321	38	,	,	PUNCT
ejpam-6024	321	39	we	we	PRON
ejpam-6024	321	40	simulate	simulate	VERB
ejpam-6024	321	41	n	n	PRON
ejpam-6024	321	42	=	=	SYM
ejpam-6024	321	43	1000	1000	NUM
ejpam-6024	321	44	samples	sample	NOUN
ejpam-6024	321	45	with	with	ADP
ejpam-6024	321	46	size	size	NOUN
ejpam-6024	321	47	n	n	NOUN
ejpam-6024	321	48	=	=	SYM
ejpam-6024	321	49	1000	1000	NUM
ejpam-6024	321	50	.	.	PUNCT
ejpam-6024	322	1	to	to	PART
ejpam-6024	322	2	evaluate	evaluate	VERB
ejpam-6024	322	3	of	of	ADP
ejpam-6024	322	4	the	the	DET
ejpam-6024	322	5	true	true	ADJ
ejpam-6024	322	6	value	value	NOUN
ejpam-6024	322	7	of	of	ADP
ejpam-6024	322	8	distortion	distortion	NOUN
ejpam-6024	322	9	risk	risk	NOUN
ejpam-6024	322	10	premiums	premium	NOUN
ejpam-6024	322	11	πβ	πβ	ADP
ejpam-6024	322	12	,	,	PUNCT
ejpam-6024	322	13	n	n	CCONJ
ejpam-6024	322	14	,	,	PUNCT
ejpam-6024	322	15	we	we	PRON
ejpam-6024	322	16	use	use	VERB
ejpam-6024	322	17	the	the	DET
ejpam-6024	322	18	approximation	approximation	NOUN
ejpam-6024	322	19	of	of	ADP
ejpam-6024	322	20	the	the	DET
ejpam-6024	322	21	tail	tail	NOUN
ejpam-6024	322	22	distribution	distribution	NOUN
ejpam-6024	322	23	f	f	NOUN
ejpam-6024	322	24	given	give	VERB
ejpam-6024	322	25	in	in	ADP
ejpam-6024	322	26	table	table	NOUN
ejpam-6024	322	27	1	1	NUM
ejpam-6024	322	28	.	.	PUNCT
ejpam-6024	323	1	also	also	ADV
ejpam-6024	323	2	,	,	PUNCT
ejpam-6024	323	3	we	we	PRON
ejpam-6024	323	4	apply	apply	VERB
ejpam-6024	323	5	to	to	ADP
ejpam-6024	323	6	each	each	DET
ejpam-6024	323	7	sample	sample	NOUN
ejpam-6024	323	8	both	both	DET
ejpam-6024	323	9	estimators	estimator	NOUN
ejpam-6024	323	10	π̂	π̂	PUNCT
ejpam-6024	323	11	(	(	PUNCT
ejpam-6024	323	12	k	k	NOUN
ejpam-6024	323	13	)	)	PUNCT
ejpam-6024	323	14	β	β	NOUN
ejpam-6024	323	15	,	,	PUNCT
ejpam-6024	323	16	k	k	NOUN
ejpam-6024	323	17	,	,	PUNCT
ejpam-6024	323	18	n	n	PROPN
ejpam-6024	323	19	and	and	CCONJ
ejpam-6024	323	20	π̃	π̃	PROPN
ejpam-6024	323	21	(	(	PUNCT
ejpam-6024	323	22	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	323	23	opt	opt	NOUN
ejpam-6024	323	24	)	)	PUNCT
ejpam-6024	323	25	β	β	X
ejpam-6024	323	26	,	,	PUNCT
ejpam-6024	323	27	k	k	NOUN
ejpam-6024	323	28	,	,	PUNCT
ejpam-6024	323	29	n	n	CCONJ
ejpam-6024	323	30	,	,	PUNCT
ejpam-6024	323	31	ρ̂	ρ̂	NUM
ejpam-6024	323	32	,	,	PUNCT
ejpam-6024	323	33	for	for	ADP
ejpam-6024	323	34	different	different	ADJ
ejpam-6024	323	35	integers	integer	NOUN
ejpam-6024	323	36	of	of	ADP
ejpam-6024	323	37	top	top	ADJ
ejpam-6024	323	38	order	order	NOUN
ejpam-6024	323	39	statistic	statistic	NOUN
ejpam-6024	323	40	k	k	NOUN
ejpam-6024	323	41	=	=	SYM
ejpam-6024	323	42	1	1	NUM
ejpam-6024	323	43	,	,	PUNCT
ejpam-6024	323	44	...	...	PUNCT
ejpam-6024	323	45	,	,	PUNCT
ejpam-6024	323	46	m	m	PROPN
ejpam-6024	323	47	,	,	PUNCT
ejpam-6024	323	48	where	where	SCONJ
ejpam-6024	323	49	m	m	NOUN
ejpam-6024	323	50	is	be	AUX
ejpam-6024	323	51	the	the	DET
ejpam-6024	323	52	number	number	NOUN
ejpam-6024	323	53	of	of	ADP
ejpam-6024	323	54	positive	positive	ADJ
ejpam-6024	323	55	values	value	NOUN
ejpam-6024	323	56	of	of	ADP
ejpam-6024	323	57	the	the	DET
ejpam-6024	323	58	simulated	simulated	ADJ
ejpam-6024	323	59	a.	a.	NOUN
ejpam-6024	323	60	aghrabatt	aghrabatt	PROPN
ejpam-6024	323	61	et	et	PROPN
ejpam-6024	323	62	al	al	PROPN
ejpam-6024	323	63	.	.	PUNCT
ejpam-6024	323	64	/	/	SYM
ejpam-6024	323	65	eur	eur	PROPN
ejpam-6024	323	66	.	.	PUNCT
ejpam-6024	324	1	j.	j.	PROPN
ejpam-6024	324	2	pure	pure	PROPN
ejpam-6024	324	3	appl	appl	PROPN
ejpam-6024	324	4	.	.	PROPN
ejpam-6024	324	5	math	math	PROPN
ejpam-6024	324	6	,	,	PUNCT
ejpam-6024	324	7	18	18	NUM
ejpam-6024	324	8	(	(	PUNCT
ejpam-6024	324	9	2	2	NUM
ejpam-6024	324	10	)	)	PUNCT
ejpam-6024	324	11	(	(	PUNCT
ejpam-6024	324	12	2025	2025	NUM
ejpam-6024	324	13	)	)	PUNCT
ejpam-6024	324	14	,	,	PUNCT
ejpam-6024	324	15	6024	6024	NUM
ejpam-6024	324	16	15	15	NUM
ejpam-6024	324	17	of	of	ADP
ejpam-6024	324	18	25	25	NUM
ejpam-6024	324	19	description	description	NOUN
ejpam-6024	324	20	independence	independence	NOUN
ejpam-6024	324	21	ar(1	ar(1	PROPN
ejpam-6024	324	22	)	)	PUNCT
ejpam-6024	324	23	ma(1	ma(1	NOUN
ejpam-6024	324	24	)	)	PUNCT
ejpam-6024	324	25	of	of	ADP
ejpam-6024	324	26	models	model	NOUN
ejpam-6024	324	27	xi	xi	X
ejpam-6024	324	28	=	=	NOUN
ejpam-6024	324	29	zi	zi	PROPN
ejpam-6024	324	30	xi	xi	PUNCT
ejpam-6024	325	1	=	=	PUNCT
ejpam-6024	325	2	θxi−1	θxi−1	PROPN
ejpam-6024	325	3	+	+	CCONJ
ejpam-6024	325	4	zi	zi	NOUN
ejpam-6024	325	5	xi	xi	PUNCT
ejpam-6024	326	1	=	=	PUNCT
ejpam-6024	326	2	θzi−1	θzi−1	PROPN
ejpam-6024	326	3	+	+	CCONJ
ejpam-6024	326	4	zi	zi	NOUN
ejpam-6024	326	5	tail	tail	NOUN
ejpam-6024	326	6	-	-	PUNCT
ejpam-6024	326	7	distribution	distribution	NOUN
ejpam-6024	326	8	f	f	NOUN
ejpam-6024	326	9	(	(	PUNCT
ejpam-6024	326	10	x	x	X
ejpam-6024	326	11	)	)	PUNCT
ejpam-6024	326	12	=	=	SYM
ejpam-6024	326	13	fz(x	fz(x	NOUN
ejpam-6024	326	14	)	)	PUNCT
ejpam-6024	326	15	f	f	NOUN
ejpam-6024	326	16	(	(	PUNCT
ejpam-6024	326	17	x	x	X
ejpam-6024	326	18	)	)	PUNCT
ejpam-6024	326	19	∼	∼	NOUN
ejpam-6024	326	20	(	(	PUNCT
ejpam-6024	326	21	1−	1−	NUM
ejpam-6024	326	22	θ1	θ1	NOUN
ejpam-6024	326	23	/	/	SYM
ejpam-6024	326	24	γ)−1fz(x	γ)−1fz(x	NUM
ejpam-6024	326	25	)	)	PUNCT
ejpam-6024	326	26	f	f	NOUN
ejpam-6024	326	27	(	(	PUNCT
ejpam-6024	326	28	x	x	X
ejpam-6024	326	29	)	)	PUNCT
ejpam-6024	326	30	∼	∼	NOUN
ejpam-6024	326	31	(	(	PUNCT
ejpam-6024	326	32	1	1	NUM
ejpam-6024	326	33	+	+	NUM
ejpam-6024	326	34	θ1	θ1	NOUN
ejpam-6024	326	35	/	/	SYM
ejpam-6024	326	36	γ)fz(x	γ)fz(x	NOUN
ejpam-6024	326	37	)	)	PUNCT
ejpam-6024	326	38	coefficients	coefficient	VERB
ejpam-6024	326	39	θ	θ	NOUN
ejpam-6024	326	40	=	=	SYM
ejpam-6024	326	41	0	0	NUM
ejpam-6024	326	42	and	and	CCONJ
ejpam-6024	326	43	γ	γ	X
ejpam-6024	326	44	=	=	SYM
ejpam-6024	326	45	0.6	0.6	NUM
ejpam-6024	326	46	θ	θ	NOUN
ejpam-6024	326	47	=	=	PUNCT
ejpam-6024	326	48	0.3	0.3	NUM
ejpam-6024	326	49	and	and	CCONJ
ejpam-6024	326	50	γ	γ	X
ejpam-6024	326	51	=	=	SYM
ejpam-6024	327	1	0.6	0.6	NUM
ejpam-6024	327	2	θ	θ	NOUN
ejpam-6024	327	3	=	=	PUNCT
ejpam-6024	327	4	0.3	0.3	NUM
ejpam-6024	327	5	and	and	CCONJ
ejpam-6024	327	6	γ	γ	X
ejpam-6024	327	7	=	=	SYM
ejpam-6024	327	8	0.6	0.6	NUM
ejpam-6024	327	9	table	table	NOUN
ejpam-6024	327	10	1	1	NUM
ejpam-6024	327	11	:	:	PUNCT
ejpam-6024	327	12	description	description	NOUN
ejpam-6024	327	13	of	of	ADP
ejpam-6024	327	14	models	model	NOUN
ejpam-6024	327	15	under	under	ADP
ejpam-6024	327	16	simulation	simulation	NOUN
ejpam-6024	327	17	with	with	ADP
ejpam-6024	327	18	their	their	PRON
ejpam-6024	327	19	associated	associated	ADJ
ejpam-6024	327	20	tail	tail	NOUN
ejpam-6024	327	21	distribution	distribution	NOUN
ejpam-6024	327	22	functions	function	NOUN
ejpam-6024	327	23	.	.	PUNCT
ejpam-6024	328	1	samples	sample	NOUN
ejpam-6024	328	2	.	.	PUNCT
ejpam-6024	329	1	for	for	ADP
ejpam-6024	329	2	computation	computation	NOUN
ejpam-6024	329	3	and	and	CCONJ
ejpam-6024	329	4	the	the	DET
ejpam-6024	329	5	comparison	comparison	NOUN
ejpam-6024	329	6	of	of	ADP
ejpam-6024	329	7	the	the	DET
ejpam-6024	329	8	estimators	estimator	NOUN
ejpam-6024	329	9	,	,	PUNCT
ejpam-6024	329	10	we	we	PRON
ejpam-6024	329	11	adopt	adopt	VERB
ejpam-6024	329	12	the	the	DET
ejpam-6024	329	13	following	follow	VERB
ejpam-6024	329	14	steps	step	NOUN
ejpam-6024	329	15	:	:	PUNCT
ejpam-6024	329	16	•	•	NUM
ejpam-6024	329	17	the	the	DET
ejpam-6024	329	18	class	class	NOUN
ejpam-6024	329	19	of	of	ADP
ejpam-6024	329	20	estimators	estimator	NOUN
ejpam-6024	329	21	π̂	π̂	PUNCT
ejpam-6024	329	22	(	(	PUNCT
ejpam-6024	329	23	k	k	NOUN
ejpam-6024	329	24	)	)	PUNCT
ejpam-6024	329	25	β	β	NOUN
ejpam-6024	329	26	,	,	PUNCT
ejpam-6024	329	27	k	k	PROPN
ejpam-6024	329	28	,	,	PUNCT
ejpam-6024	329	29	n	n	PRON
ejpam-6024	329	30	is	be	AUX
ejpam-6024	329	31	computed	compute	VERB
ejpam-6024	329	32	with	with	ADP
ejpam-6024	329	33	the	the	DET
ejpam-6024	329	34	tail	tail	NOUN
ejpam-6024	329	35	index	index	NOUN
ejpam-6024	329	36	estimators	estimator	NOUN
ejpam-6024	329	37	γ̂	γ̂	PUNCT
ejpam-6024	330	1	(	(	PUNCT
ejpam-6024	330	2	k	k	X
ejpam-6024	330	3	)	)	PUNCT
ejpam-6024	330	4	k	k	NOUN
ejpam-6024	330	5	,	,	PUNCT
ejpam-6024	330	6	k	k	X
ejpam-6024	330	7	=	=	SYM
ejpam-6024	330	8	1	1	NUM
ejpam-6024	330	9	,	,	PUNCT
ejpam-6024	330	10	...	...	PUNCT
ejpam-6024	330	11	,	,	PUNCT
ejpam-6024	330	12	mn	mn	PROPN
ejpam-6024	330	13	and	and	CCONJ
ejpam-6024	330	14	two	two	NUM
ejpam-6024	330	15	different	different	ADJ
ejpam-6024	330	16	kernel	kernel	NOUN
ejpam-6024	330	17	function	function	NOUN
ejpam-6024	331	1	k	k	PROPN
ejpam-6024	331	2	satisfying	satisfy	VERB
ejpam-6024	331	3	the	the	DET
ejpam-6024	331	4	assumption	assumption	NOUN
ejpam-6024	331	5	(	(	PUNCT
ejpam-6024	331	6	k	k	NOUN
ejpam-6024	331	7	)	)	PUNCT
ejpam-6024	331	8	.	.	PUNCT
ejpam-6024	332	1	the	the	DET
ejpam-6024	332	2	first	first	ADJ
ejpam-6024	332	3	kernel	kernel	NOUN
ejpam-6024	332	4	is	be	AUX
ejpam-6024	332	5	the	the	DET
ejpam-6024	332	6	power	power	NOUN
ejpam-6024	332	7	function	function	NOUN
ejpam-6024	332	8	,	,	PUNCT
ejpam-6024	332	9	defined	define	VERB
ejpam-6024	332	10	as	as	ADP
ejpam-6024	332	11	k(s	k(s	PROPN
ejpam-6024	332	12	)	)	PUNCT
ejpam-6024	332	13	=	=	PUNCT
ejpam-6024	333	1	(	(	PUNCT
ejpam-6024	333	2	1	1	NUM
ejpam-6024	333	3	+	+	CCONJ
ejpam-6024	333	4	τ)sτ	τ)sτ	PROPN
ejpam-6024	333	5	i{0	i{0	PROPN
ejpam-6024	333	6	<	<	X
ejpam-6024	333	7	s<1	s<1	NOUN
ejpam-6024	333	8	}	}	PUNCT
ejpam-6024	333	9	,	,	PUNCT
ejpam-6024	333	10	with	with	ADP
ejpam-6024	333	11	τ	τ	PROPN
ejpam-6024	333	12	taken	take	VERB
ejpam-6024	333	13	in	in	ADP
ejpam-6024	333	14	our	our	PRON
ejpam-6024	333	15	study	study	NOUN
ejpam-6024	333	16	in	in	ADP
ejpam-6024	333	17	{	{	PUNCT
ejpam-6024	333	18	0	0	NUM
ejpam-6024	333	19	,	,	PUNCT
ejpam-6024	333	20	1	1	NUM
ejpam-6024	333	21	}	}	PUNCT
ejpam-6024	333	22	.	.	PUNCT
ejpam-6024	334	1	in	in	ADP
ejpam-6024	334	2	the	the	DET
ejpam-6024	334	3	case	case	NOUN
ejpam-6024	334	4	where	where	SCONJ
ejpam-6024	334	5	τ	τ	PROPN
ejpam-6024	334	6	=	=	SYM
ejpam-6024	334	7	0	0	PROPN
ejpam-6024	334	8	,	,	PUNCT
ejpam-6024	334	9	we	we	PRON
ejpam-6024	334	10	denote	denote	VERB
ejpam-6024	334	11	k	k	X
ejpam-6024	334	12	:	:	PUNCT
ejpam-6024	334	13	=	=	SYM
ejpam-6024	334	14	k1	k1	PROPN
ejpam-6024	334	15	=	=	SYM
ejpam-6024	334	16	k	k	PROPN
ejpam-6024	334	17	and	and	CCONJ
ejpam-6024	334	18	π̂	π̂	NUM
ejpam-6024	334	19	(	(	PUNCT
ejpam-6024	334	20	k	k	NOUN
ejpam-6024	334	21	)	)	PUNCT
ejpam-6024	334	22	β	β	NOUN
ejpam-6024	334	23	,	,	PUNCT
ejpam-6024	334	24	k	k	PROPN
ejpam-6024	334	25	,	,	PUNCT
ejpam-6024	334	26	n	n	PRON
ejpam-6024	334	27	corresponds	correspond	VERB
ejpam-6024	334	28	to	to	ADP
ejpam-6024	334	29	the	the	DET
ejpam-6024	334	30	classical	classical	ADJ
ejpam-6024	334	31	distortion	distortion	NOUN
ejpam-6024	334	32	risk	risk	NOUN
ejpam-6024	334	33	principle	principle	NOUN
ejpam-6024	334	34	estimator	estimator	NOUN
ejpam-6024	334	35	studied	study	VERB
ejpam-6024	334	36	in	in	ADP
ejpam-6024	334	37	[	[	X
ejpam-6024	334	38	17	17	NUM
ejpam-6024	334	39	]	]	PUNCT
ejpam-6024	334	40	under	under	ADP
ejpam-6024	334	41	the	the	PRON
ejpam-6024	334	42	β	β	NOUN
ejpam-6024	334	43	-	-	ADJ
ejpam-6024	334	44	mixing	mix	VERB
ejpam-6024	334	45	insured	insured	ADJ
ejpam-6024	334	46	risks	risk	NOUN
ejpam-6024	334	47	and	and	CCONJ
ejpam-6024	334	48	which	which	PRON
ejpam-6024	334	49	is	be	AUX
ejpam-6024	334	50	associated	associate	VERB
ejpam-6024	334	51	to	to	ADP
ejpam-6024	334	52	the	the	DET
ejpam-6024	334	53	hill	hill	NOUN
ejpam-6024	334	54	’s	’s	PART
ejpam-6024	334	55	estimator	estimator	NOUN
ejpam-6024	334	56	γ̂	γ̂	PROPN
ejpam-6024	335	1	(	(	PUNCT
ejpam-6024	335	2	k	k	NOUN
ejpam-6024	335	3	)	)	PUNCT
ejpam-6024	335	4	k	k	PROPN
ejpam-6024	335	5	.	.	PUNCT
ejpam-6024	336	1	for	for	ADP
ejpam-6024	336	2	τ	τ	PROPN
ejpam-6024	336	3	=	=	SYM
ejpam-6024	336	4	1	1	NUM
ejpam-6024	336	5	,	,	PUNCT
ejpam-6024	336	6	the	the	DET
ejpam-6024	336	7	corresponding	corresponding	ADJ
ejpam-6024	336	8	kernel	kernel	NOUN
ejpam-6024	336	9	is	be	AUX
ejpam-6024	336	10	exactly	exactly	ADV
ejpam-6024	336	11	the	the	DET
ejpam-6024	336	12	above	above	ADJ
ejpam-6024	336	13	mentioned	mention	VERB
ejpam-6024	336	14	k	k	NOUN
ejpam-6024	336	15	:	:	PUNCT
ejpam-6024	336	16	=	=	SYM
ejpam-6024	336	17	k2,ρ̄	k2,ρ̄	NOUN
ejpam-6024	336	18	,	,	PUNCT
ejpam-6024	336	19	with	with	ADP
ejpam-6024	336	20	ρ̄	ρ̄	NOUN
ejpam-6024	336	21	=	=	SYM
ejpam-6024	336	22	−1	−1	NOUN
ejpam-6024	336	23	.	.	PUNCT
ejpam-6024	337	1	the	the	DET
ejpam-6024	337	2	second	second	ADJ
ejpam-6024	337	3	kernel	kernel	NOUN
ejpam-6024	337	4	function	function	NOUN
ejpam-6024	337	5	is	be	AUX
ejpam-6024	337	6	log	log	NOUN
ejpam-6024	337	7	-	-	PUNCT
ejpam-6024	337	8	weight	weight	NOUN
ejpam-6024	337	9	function	function	NOUN
ejpam-6024	337	10	k(s	k(s	PROPN
ejpam-6024	337	11	)	)	PUNCT
ejpam-6024	337	12	:	:	PUNCT
ejpam-6024	338	1	=	=	PUNCT
ejpam-6024	338	2	kl	kl	X
ejpam-6024	338	3	,	,	PUNCT
ejpam-6024	338	4	κ(s	κ(s	PROPN
ejpam-6024	338	5	)	)	PUNCT
ejpam-6024	338	6	=	=	PUNCT
ejpam-6024	339	1	(	(	PUNCT
ejpam-6024	339	2	−	−	NOUN
ejpam-6024	339	3	log	log	NOUN
ejpam-6024	339	4	s)κ	s)κ	NOUN
ejpam-6024	339	5	/	/	SYM
ejpam-6024	339	6	γ(κ+	γ(κ+	NUM
ejpam-6024	339	7	1)i{0	1)i{0	NUM
ejpam-6024	339	8	<	<	X
ejpam-6024	339	9	s<1	s<1	NOUN
ejpam-6024	339	10	}	}	PUNCT
ejpam-6024	339	11	,	,	PUNCT
ejpam-6024	339	12	κ	κ	X
ejpam-6024	339	13	≥	≥	NOUN
ejpam-6024	339	14	1	1	NUM
ejpam-6024	339	15	chosen	choose	VERB
ejpam-6024	339	16	as	as	SCONJ
ejpam-6024	339	17	equals	equal	VERB
ejpam-6024	339	18	to	to	ADP
ejpam-6024	339	19	one	one	NUM
ejpam-6024	339	20	in	in	ADP
ejpam-6024	339	21	this	this	DET
ejpam-6024	339	22	simulation	simulation	NOUN
ejpam-6024	339	23	stydy	stydy	NOUN
ejpam-6024	339	24	.	.	PUNCT
ejpam-6024	340	1	three	three	NUM
ejpam-6024	340	2	biased	biased	ADJ
ejpam-6024	340	3	estimators	estimator	NOUN
ejpam-6024	340	4	are	be	AUX
ejpam-6024	340	5	then	then	ADV
ejpam-6024	340	6	considered	consider	VERB
ejpam-6024	340	7	for	for	ADP
ejpam-6024	340	8	this	this	DET
ejpam-6024	340	9	class	class	NOUN
ejpam-6024	340	10	of	of	ADP
ejpam-6024	340	11	distorted	distorted	ADJ
ejpam-6024	340	12	risks	risk	NOUN
ejpam-6024	340	13	estimates	estimate	NOUN
ejpam-6024	340	14	:	:	PUNCT
ejpam-6024	340	15	π̂	π̂	NUM
ejpam-6024	340	16	(	(	PUNCT
ejpam-6024	340	17	k	k	X
ejpam-6024	340	18	)	)	PUNCT
ejpam-6024	340	19	β	β	NOUN
ejpam-6024	340	20	,	,	PUNCT
ejpam-6024	340	21	k	k	NOUN
ejpam-6024	340	22	,	,	PUNCT
ejpam-6024	340	23	n	n	CCONJ
ejpam-6024	340	24	,	,	PUNCT
ejpam-6024	340	25	π̂	π̂	PUNCT
ejpam-6024	340	26	(	(	PUNCT
ejpam-6024	340	27	k2,ρ	k2,ρ	PROPN
ejpam-6024	340	28	)	)	PUNCT
ejpam-6024	340	29	β	β	NOUN
ejpam-6024	340	30	,	,	PUNCT
ejpam-6024	340	31	k	k	PROPN
ejpam-6024	340	32	,	,	PUNCT
ejpam-6024	340	33	n	n	PROPN
ejpam-6024	340	34	for	for	ADP
ejpam-6024	340	35	ρ	ρ	NOUN
ejpam-6024	340	36	=	=	SYM
ejpam-6024	340	37	−1	−1	NOUN
ejpam-6024	340	38	and	and	CCONJ
ejpam-6024	340	39	π̂	π̂	NUM
ejpam-6024	340	40	(	(	PUNCT
ejpam-6024	340	41	kl	kl	X
ejpam-6024	340	42	,	,	PUNCT
ejpam-6024	340	43	κ	κ	NOUN
ejpam-6024	340	44	)	)	PUNCT
ejpam-6024	340	45	β	β	NOUN
ejpam-6024	340	46	,	,	PUNCT
ejpam-6024	340	47	k	k	PROPN
ejpam-6024	340	48	,	,	PUNCT
ejpam-6024	340	49	n	n	PROPN
ejpam-6024	340	50	for	for	ADP
ejpam-6024	340	51	κ	κ	NOUN
ejpam-6024	340	52	=	=	SYM
ejpam-6024	340	53	1	1	NUM
ejpam-6024	340	54	.	.	NUM
ejpam-6024	340	55	•	•	NUM
ejpam-6024	340	56	the	the	DET
ejpam-6024	340	57	asymptotic	asymptotic	ADJ
ejpam-6024	340	58	unbiased	unbiased	ADJ
ejpam-6024	340	59	estimator	estimator	NOUN
ejpam-6024	340	60	π̃	π̃	PROPN
ejpam-6024	340	61	(	(	PUNCT
ejpam-6024	340	62	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	340	63	opt	opt	NOUN
ejpam-6024	340	64	)	)	PUNCT
ejpam-6024	340	65	β	β	X
ejpam-6024	340	66	,	,	PUNCT
ejpam-6024	340	67	k	k	NOUN
ejpam-6024	340	68	,	,	PUNCT
ejpam-6024	340	69	n	n	CCONJ
ejpam-6024	340	70	,	,	PUNCT
ejpam-6024	340	71	ρ̂	ρ̂	NUM
ejpam-6024	340	72	is	be	AUX
ejpam-6024	340	73	computed	compute	VERB
ejpam-6024	340	74	with	with	ADP
ejpam-6024	340	75	the	the	DET
ejpam-6024	340	76	tail	tail	NOUN
ejpam-6024	340	77	index	index	NOUN
ejpam-6024	340	78	estimators	estimator	NOUN
ejpam-6024	340	79	γ̂	γ̂	X
ejpam-6024	340	80	(	(	PUNCT
ejpam-6024	340	81	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	340	82	opt	opt	NOUN
ejpam-6024	340	83	)	)	PUNCT
ejpam-6024	341	1	k	k	PROPN
ejpam-6024	341	2	,	,	PUNCT
ejpam-6024	341	3	for	for	ADP
ejpam-6024	341	4	k	k	PROPN
ejpam-6024	341	5	=	=	SYM
ejpam-6024	341	6	1	1	NUM
ejpam-6024	341	7	,	,	PUNCT
ejpam-6024	341	8	...	...	PUNCT
ejpam-6024	341	9	,	,	PUNCT
ejpam-6024	341	10	mn	mn	PROPN
ejpam-6024	341	11	and	and	CCONJ
ejpam-6024	341	12	ρ̂	ρ̂	NUM
ejpam-6024	341	13	:	:	PUNCT
ejpam-6024	341	14	=	=	SYM
ejpam-6024	341	15	ρ̂k∗	ρ̂k∗	NOUN
ejpam-6024	341	16	ρ	ρ	NOUN
ejpam-6024	341	17	defined	define	VERB
ejpam-6024	341	18	in	in	ADP
ejpam-6024	341	19	(	(	PUNCT
ejpam-6024	341	20	26	26	NUM
ejpam-6024	341	21	)	)	PUNCT
ejpam-6024	341	22	,	,	PUNCT
ejpam-6024	341	23	where	where	SCONJ
ejpam-6024	341	24	k∗ρ	k∗ρ	NOUN
ejpam-6024	341	25	is	be	AUX
ejpam-6024	341	26	selected	select	VERB
ejpam-6024	341	27	as	as	SCONJ
ejpam-6024	341	28	follows	follow	VERB
ejpam-6024	341	29	:	:	PUNCT
ejpam-6024	341	30	k∗ρ	k∗ρ	X
ejpam-6024	341	31	:	:	PUNCT
ejpam-6024	341	32	=	=	SYM
ejpam-6024	341	33	sup	sup	INTJ
ejpam-6024	341	34	{	{	PUNCT
ejpam-6024	341	35	kρ	kρ	NOUN
ejpam-6024	341	36	:	:	PUNCT
ejpam-6024	341	37	kρ	kρ	PROPN
ejpam-6024	341	38	≤	≤	NUM
ejpam-6024	341	39	min	min	NOUN
ejpam-6024	341	40	(	(	PUNCT
ejpam-6024	341	41	n−	n−	NOUN
ejpam-6024	341	42	1	1	NUM
ejpam-6024	341	43	,	,	PUNCT
ejpam-6024	341	44	2n	2n	NUM
ejpam-6024	341	45	log	log	NOUN
ejpam-6024	341	46	log	log	NOUN
ejpam-6024	341	47	n	n	NOUN
ejpam-6024	341	48	)	)	PUNCT
ejpam-6024	341	49	and	and	CCONJ
ejpam-6024	341	50	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	341	51	exists	exist	VERB
ejpam-6024	341	52	}	}	PUNCT
ejpam-6024	341	53	.	.	PUNCT
ejpam-6024	342	1	•	•	NOUN
ejpam-6024	342	2	next	next	ADV
ejpam-6024	342	3	,	,	PUNCT
ejpam-6024	342	4	we	we	PRON
ejpam-6024	342	5	compare	compare	VERB
ejpam-6024	342	6	on	on	ADP
ejpam-6024	342	7	the	the	DET
ejpam-6024	342	8	one	one	NUM
ejpam-6024	342	9	hand	hand	NOUN
ejpam-6024	342	10	the	the	DET
ejpam-6024	342	11	performance	performance	NOUN
ejpam-6024	342	12	of	of	ADP
ejpam-6024	342	13	the	the	DET
ejpam-6024	342	14	mentioned	mention	VERB
ejpam-6024	342	15	reinsurance	reinsurance	NOUN
ejpam-6024	342	16	premium	premium	NOUN
ejpam-6024	342	17	estimators	estimator	NOUN
ejpam-6024	342	18	by	by	ADP
ejpam-6024	342	19	computing	compute	VERB
ejpam-6024	342	20	the	the	DET
ejpam-6024	342	21	absolute	absolute	ADJ
ejpam-6024	342	22	value	value	NOUN
ejpam-6024	342	23	of	of	ADP
ejpam-6024	342	24	the	the	DET
ejpam-6024	342	25	mean	mean	NOUN
ejpam-6024	342	26	together	together	ADV
ejpam-6024	342	27	with	with	ADP
ejpam-6024	342	28	the	the	DET
ejpam-6024	342	29	root	root	NOUN
ejpam-6024	342	30	mean	mean	VERB
ejpam-6024	342	31	squared	square	VERB
ejpam-6024	342	32	errors	error	NOUN
ejpam-6024	342	33	(	(	PUNCT
ejpam-6024	342	34	rmse	rmse	NOUN
ejpam-6024	342	35	)	)	PUNCT
ejpam-6024	342	36	based	base	VERB
ejpam-6024	342	37	on	on	ADP
ejpam-6024	342	38	the	the	DET
ejpam-6024	342	39	n	n	NOUN
ejpam-6024	342	40	samples	sample	NOUN
ejpam-6024	342	41	,	,	PUNCT
ejpam-6024	342	42	and	and	CCONJ
ejpam-6024	342	43	defined	define	VERB
ejpam-6024	342	44	as	as	ADP
ejpam-6024	342	45	the	the	DET
ejpam-6024	342	46	following	follow	VERB
ejpam-6024	342	47	form	form	NOUN
ejpam-6024	342	48	:	:	PUNCT
ejpam-6024	342	49	abias(π	abias(π	ADP
ejpam-6024	342	50	,	,	PUNCT
ejpam-6024	342	51	k	k	NOUN
ejpam-6024	342	52	)	)	PUNCT
ejpam-6024	342	53	:	:	PUNCT
ejpam-6024	343	1	=	=	SYM
ejpam-6024	343	2	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6024	343	3	n∑	n∑	PROPN
ejpam-6024	343	4	i−1	i−1	PROPN
ejpam-6024	343	5	π̂(i	π̂(i	PRON
ejpam-6024	343	6	)	)	PUNCT
ejpam-6024	343	7	π	π	NOUN
ejpam-6024	343	8	−	−	PROPN
ejpam-6024	343	9	1	1	NUM
ejpam-6024	343	10	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6024	343	11	and	and	CCONJ
ejpam-6024	343	12	rmse(π	rmse(π	PROPN
ejpam-6024	343	13	,	,	PUNCT
ejpam-6024	343	14	k	k	PROPN
ejpam-6024	343	15	)	)	PUNCT
ejpam-6024	343	16	:	:	PUNCT
ejpam-6024	343	17	=	=	PUNCT
ejpam-6024	343	18	√√√√	√√√√	ADP
ejpam-6024	343	19	n∑	n∑	PROPN
ejpam-6024	343	20	i−1	i−1	PROPN
ejpam-6024	343	21	(	(	PUNCT
ejpam-6024	343	22	π̂(i	π̂(i	NOUN
ejpam-6024	343	23	)	)	PUNCT
ejpam-6024	343	24	π	π	NOUN
ejpam-6024	343	25	−	−	PROPN
ejpam-6024	343	26	1	1	NUM
ejpam-6024	343	27	)	)	SYM
ejpam-6024	343	28	2	2	NUM
ejpam-6024	343	29	,	,	PUNCT
ejpam-6024	343	30	where	where	SCONJ
ejpam-6024	343	31	π	π	X
ejpam-6024	343	32	:	:	PUNCT
ejpam-6024	343	33	=	=	PUNCT
ejpam-6024	343	34	πβ	πβ	NOUN
ejpam-6024	343	35	,	,	PUNCT
ejpam-6024	343	36	n	n	PRON
ejpam-6024	343	37	is	be	AUX
ejpam-6024	343	38	the	the	DET
ejpam-6024	343	39	true	true	ADJ
ejpam-6024	343	40	value	value	NOUN
ejpam-6024	343	41	of	of	ADP
ejpam-6024	343	42	the	the	DET
ejpam-6024	343	43	distortion	distortion	NOUN
ejpam-6024	343	44	risk	risk	NOUN
ejpam-6024	343	45	premium	premium	NOUN
ejpam-6024	343	46	with	with	ADP
ejpam-6024	343	47	optimal	optimal	ADJ
ejpam-6024	343	48	retention	retention	NOUN
ejpam-6024	343	49	level	level	NOUN
ejpam-6024	343	50	q(1−	q(1−	NOUN
ejpam-6024	343	51	k	k	NOUN
ejpam-6024	343	52	/	/	SYM
ejpam-6024	343	53	n	n	CCONJ
ejpam-6024	343	54	)	)	PUNCT
ejpam-6024	343	55	,	,	PUNCT
ejpam-6024	343	56	and	and	CCONJ
ejpam-6024	343	57	π̂(i	π̂(i	NOUN
ejpam-6024	343	58	)	)	PUNCT
ejpam-6024	343	59	is	be	AUX
ejpam-6024	343	60	the	the	DET
ejpam-6024	343	61	i	i	PROPN
ejpam-6024	343	62	-	-	PUNCT
ejpam-6024	343	63	th	th	VERB
ejpam-6024	343	64	value	value	NOUN
ejpam-6024	343	65	(	(	PUNCT
ejpam-6024	343	66	i	i	NOUN
ejpam-6024	343	67	=	=	NOUN
ejpam-6024	343	68	1	1	NUM
ejpam-6024	343	69	,	,	PUNCT
ejpam-6024	343	70	...	...	PUNCT
ejpam-6024	343	71	,	,	PUNCT
ejpam-6024	343	72	n	n	CCONJ
ejpam-6024	343	73	)	)	PUNCT
ejpam-6024	343	74	of	of	ADP
ejpam-6024	343	75	an	an	DET
ejpam-6024	343	76	estimator	estimator	NOUN
ejpam-6024	343	77	of	of	ADP
ejpam-6024	343	78	π̂(i	π̂(i	NOUN
ejpam-6024	343	79	)	)	PUNCT
ejpam-6024	343	80	evaluated	evaluate	VERB
ejpam-6024	343	81	as	as	SCONJ
ejpam-6024	343	82	mentioned	mention	VERB
ejpam-6024	343	83	above	above	ADP
ejpam-6024	343	84	different	different	ADJ
ejpam-6024	343	85	number	number	NOUN
ejpam-6024	343	86	of	of	ADP
ejpam-6024	343	87	top	top	ADJ
ejpam-6024	343	88	order	order	NOUN
ejpam-6024	343	89	statistics	statistic	NOUN
ejpam-6024	343	90	k	k	NOUN
ejpam-6024	344	1	=	=	SYM
ejpam-6024	344	2	1	1	NUM
ejpam-6024	344	3	,	,	PUNCT
ejpam-6024	344	4	...	...	PUNCT
ejpam-6024	344	5	,	,	PUNCT
ejpam-6024	344	6	mn	mn	PROPN
ejpam-6024	344	7	with	with	ADP
ejpam-6024	344	8	different	different	ADJ
ejpam-6024	344	9	aversion	aversion	NOUN
ejpam-6024	344	10	parameters	parameter	NOUN
ejpam-6024	344	11	β	β	X
ejpam-6024	344	12	∈	∈	PROPN
ejpam-6024	344	13	{	{	PUNCT
ejpam-6024	344	14	1	1	NUM
ejpam-6024	344	15	,	,	PUNCT
ejpam-6024	344	16	1.1	1.1	NUM
ejpam-6024	344	17	}	}	PUNCT
ejpam-6024	344	18	.	.	PUNCT
ejpam-6024	345	1	the	the	DET
ejpam-6024	345	2	results	result	NOUN
ejpam-6024	345	3	are	be	AUX
ejpam-6024	345	4	displayed	display	VERB
ejpam-6024	345	5	on	on	ADP
ejpam-6024	345	6	the	the	DET
ejpam-6024	345	7	graphs	graph	NOUN
ejpam-6024	345	8	in	in	ADP
ejpam-6024	345	9	figure	figure	NOUN
ejpam-6024	345	10	1	1	NUM
ejpam-6024	345	11	and	and	CCONJ
ejpam-6024	345	12	figure	figure	VERB
ejpam-6024	345	13	2	2	NUM
ejpam-6024	345	14	.	.	PUNCT
ejpam-6024	346	1	regarding	regard	VERB
ejpam-6024	346	2	the	the	DET
ejpam-6024	346	3	estimation	estimation	NOUN
ejpam-6024	346	4	of	of	ADP
ejpam-6024	346	5	the	the	DET
ejpam-6024	346	6	distortion	distortion	NOUN
ejpam-6024	346	7	risk	risk	NOUN
ejpam-6024	346	8	premiums	premium	NOUN
ejpam-6024	346	9	,	,	PUNCT
ejpam-6024	346	10	we	we	PRON
ejpam-6024	346	11	observe	observe	VERB
ejpam-6024	346	12	from	from	ADP
ejpam-6024	346	13	the	the	DET
ejpam-6024	346	14	graphs	graph	NOUN
ejpam-6024	346	15	on	on	ADP
ejpam-6024	346	16	the	the	DET
ejpam-6024	346	17	left	left	ADJ
ejpam-6024	346	18	-	-	PUNCT
ejpam-6024	346	19	side	side	NOUN
ejpam-6024	346	20	of	of	ADP
ejpam-6024	346	21	figure	figure	NOUN
ejpam-6024	346	22	1	1	NUM
ejpam-6024	346	23	and	and	CCONJ
ejpam-6024	346	24	figure	figure	VERB
ejpam-6024	346	25	2	2	NUM
ejpam-6024	346	26	that	that	SCONJ
ejpam-6024	346	27	our	our	PRON
ejpam-6024	346	28	goal	goal	NOUN
ejpam-6024	346	29	in	in	ADP
ejpam-6024	346	30	reducing	reduce	VERB
ejpam-6024	346	31	the	the	DET
ejpam-6024	346	32	bias	bias	NOUN
ejpam-6024	346	33	is	be	AUX
ejpam-6024	346	34	well	well	ADV
ejpam-6024	346	35	illustrated	illustrate	VERB
ejpam-6024	346	36	on	on	ADP
ejpam-6024	346	37	finite	finite	PROPN
ejpam-6024	346	38	sample	sample	NOUN
ejpam-6024	346	39	behavior	behavior	NOUN
ejpam-6024	346	40	,	,	PUNCT
ejpam-6024	346	41	when	when	SCONJ
ejpam-6024	346	42	using	use	VERB
ejpam-6024	346	43	large	large	ADJ
ejpam-6024	346	44	values	value	NOUN
ejpam-6024	346	45	a.	a.	NOUN
ejpam-6024	346	46	aghrabatt	aghrabatt	PROPN
ejpam-6024	346	47	et	et	PROPN
ejpam-6024	346	48	al	al	PROPN
ejpam-6024	346	49	.	.	PUNCT
ejpam-6024	346	50	/	/	SYM
ejpam-6024	346	51	eur	eur	PROPN
ejpam-6024	346	52	.	.	PUNCT
ejpam-6024	347	1	j.	j.	PROPN
ejpam-6024	347	2	pure	pure	PROPN
ejpam-6024	347	3	appl	appl	PROPN
ejpam-6024	347	4	.	.	PROPN
ejpam-6024	347	5	math	math	PROPN
ejpam-6024	347	6	,	,	PUNCT
ejpam-6024	347	7	18	18	NUM
ejpam-6024	347	8	(	(	PUNCT
ejpam-6024	347	9	2	2	NUM
ejpam-6024	347	10	)	)	PUNCT
ejpam-6024	347	11	(	(	PUNCT
ejpam-6024	347	12	2025	2025	NUM
ejpam-6024	347	13	)	)	PUNCT
ejpam-6024	347	14	,	,	PUNCT
ejpam-6024	347	15	6024	6024	NUM
ejpam-6024	347	16	16	16	NUM
ejpam-6024	347	17	of	of	ADP
ejpam-6024	347	18	25	25	NUM
ejpam-6024	347	19	of	of	ADP
ejpam-6024	347	20	top	top	ADJ
ejpam-6024	347	21	order	order	NOUN
ejpam-6024	347	22	statistics	statistic	NOUN
ejpam-6024	347	23	k.	k.	PROPN
ejpam-6024	348	1	in	in	ADP
ejpam-6024	348	2	addition	addition	NOUN
ejpam-6024	348	3	,	,	PUNCT
ejpam-6024	348	4	on	on	ADP
ejpam-6024	348	5	the	the	DET
ejpam-6024	348	6	graphs	graph	NOUN
ejpam-6024	348	7	on	on	ADP
ejpam-6024	348	8	the	the	DET
ejpam-6024	348	9	right	right	ADJ
ejpam-6024	348	10	-	-	PUNCT
ejpam-6024	348	11	side	side	NOUN
ejpam-6024	348	12	of	of	ADP
ejpam-6024	348	13	figure	figure	NOUN
ejpam-6024	348	14	1	1	NUM
ejpam-6024	348	15	and	and	CCONJ
ejpam-6024	348	16	figure	figure	NOUN
ejpam-6024	348	17	2	2	NUM
ejpam-6024	348	18	,	,	PUNCT
ejpam-6024	348	19	the	the	DET
ejpam-6024	348	20	rmse	rmse	NOUN
ejpam-6024	348	21	of	of	ADP
ejpam-6024	348	22	our	our	PRON
ejpam-6024	348	23	reduced	reduce	VERB
ejpam-6024	348	24	bias	bias	NOUN
ejpam-6024	348	25	estimator	estimator	NOUN
ejpam-6024	348	26	π̃	π̃	PROPN
ejpam-6024	348	27	(	(	PUNCT
ejpam-6024	348	28	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	348	29	opt	opt	NOUN
ejpam-6024	348	30	)	)	PUNCT
ejpam-6024	348	31	β	β	X
ejpam-6024	348	32	,	,	PUNCT
ejpam-6024	348	33	k	k	NOUN
ejpam-6024	348	34	,	,	PUNCT
ejpam-6024	348	35	n	n	CCONJ
ejpam-6024	348	36	,	,	PUNCT
ejpam-6024	348	37	ρ̂	ρ̂	NUM
ejpam-6024	348	38	,	,	PUNCT
ejpam-6024	348	39	stays	stay	VERB
ejpam-6024	348	40	at	at	ADP
ejpam-6024	348	41	a	a	DET
ejpam-6024	348	42	lower	low	ADJ
ejpam-6024	348	43	level	level	NOUN
ejpam-6024	348	44	than	than	ADP
ejpam-6024	348	45	that	that	PRON
ejpam-6024	348	46	of	of	ADP
ejpam-6024	348	47	the	the	DET
ejpam-6024	348	48	class	class	NOUN
ejpam-6024	348	49	of	of	ADP
ejpam-6024	348	50	biased	biased	ADJ
ejpam-6024	348	51	estimators	estimator	NOUN
ejpam-6024	348	52	π̂	π̂	PUNCT
ejpam-6024	348	53	(	(	PUNCT
ejpam-6024	348	54	k	k	NOUN
ejpam-6024	348	55	)	)	PUNCT
ejpam-6024	348	56	β	β	NOUN
ejpam-6024	348	57	,	,	PUNCT
ejpam-6024	348	58	k	k	NOUN
ejpam-6024	348	59	,	,	PUNCT
ejpam-6024	348	60	n	n	CCONJ
ejpam-6024	348	61	,	,	PUNCT
ejpam-6024	348	62	π̂	π̂	PUNCT
ejpam-6024	348	63	(	(	PUNCT
ejpam-6024	348	64	k2,ρ	k2,ρ	PROPN
ejpam-6024	348	65	)	)	PUNCT
ejpam-6024	348	66	β	β	NOUN
ejpam-6024	348	67	,	,	PUNCT
ejpam-6024	348	68	k	k	NOUN
ejpam-6024	348	69	,	,	PUNCT
ejpam-6024	348	70	n	n	PROPN
ejpam-6024	348	71	and	and	CCONJ
ejpam-6024	348	72	π̂	π̂	NUM
ejpam-6024	348	73	(	(	PUNCT
ejpam-6024	348	74	kl	kl	X
ejpam-6024	348	75	,	,	PUNCT
ejpam-6024	348	76	κ	κ	NOUN
ejpam-6024	348	77	)	)	PUNCT
ejpam-6024	348	78	β	β	NOUN
ejpam-6024	348	79	,	,	PUNCT
ejpam-6024	348	80	k	k	NOUN
ejpam-6024	348	81	,	,	PUNCT
ejpam-6024	348	82	n	n	X
ejpam-6024	348	83	,	,	PUNCT
ejpam-6024	348	84	for	for	ADP
ejpam-6024	348	85	large	large	ADJ
ejpam-6024	348	86	values	value	NOUN
ejpam-6024	348	87	of	of	ADP
ejpam-6024	348	88	k	k	NOUN
ejpam-6024	348	89	,	,	PUNCT
ejpam-6024	348	90	whatever	whatever	PRON
ejpam-6024	348	91	the	the	DET
ejpam-6024	348	92	value	value	NOUN
ejpam-6024	348	93	of	of	ADP
ejpam-6024	348	94	the	the	DET
ejpam-6024	348	95	aversion	aversion	NOUN
ejpam-6024	348	96	index	index	NOUN
ejpam-6024	348	97	β	β	NOUN
ejpam-6024	348	98	.	.	PUNCT
ejpam-6024	349	1	we	we	PRON
ejpam-6024	349	2	also	also	ADV
ejpam-6024	349	3	observe	observe	VERB
ejpam-6024	349	4	that	that	SCONJ
ejpam-6024	349	5	the	the	DET
ejpam-6024	349	6	reduction	reduction	NOUN
ejpam-6024	349	7	in	in	ADP
ejpam-6024	349	8	rmse	rmse	NOUN
ejpam-6024	349	9	is	be	AUX
ejpam-6024	349	10	higher	high	ADJ
ejpam-6024	349	11	for	for	ADP
ejpam-6024	349	12	dependent	dependent	ADJ
ejpam-6024	349	13	series	series	NOUN
ejpam-6024	349	14	than	than	ADP
ejpam-6024	349	15	for	for	ADP
ejpam-6024	349	16	independent	independent	ADJ
ejpam-6024	349	17	series	serie	NOUN
ejpam-6024	349	18	.	.	PUNCT
ejpam-6024	350	1	we	we	PRON
ejpam-6024	350	2	conclude	conclude	VERB
ejpam-6024	350	3	that	that	SCONJ
ejpam-6024	350	4	the	the	DET
ejpam-6024	350	5	simulation	simulation	NOUN
ejpam-6024	350	6	studies	study	NOUN
ejpam-6024	350	7	show	show	VERB
ejpam-6024	350	8	that	that	SCONJ
ejpam-6024	350	9	under	under	ADP
ejpam-6024	350	10	bias	bias	NOUN
ejpam-6024	350	11	reduction	reduction	NOUN
ejpam-6024	350	12	procedure	procedure	NOUN
ejpam-6024	350	13	,	,	PUNCT
ejpam-6024	350	14	the	the	DET
ejpam-6024	350	15	estimators	estimator	NOUN
ejpam-6024	350	16	for	for	ADP
ejpam-6024	350	17	the	the	DET
ejpam-6024	350	18	distortion	distortion	NOUN
ejpam-6024	350	19	risk	risk	NOUN
ejpam-6024	350	20	premiums	premium	NOUN
ejpam-6024	350	21	remain	remain	VERB
ejpam-6024	350	22	stable	stable	ADJ
ejpam-6024	350	23	for	for	ADP
ejpam-6024	350	24	a	a	DET
ejpam-6024	350	25	wider	wide	ADJ
ejpam-6024	350	26	range	range	NOUN
ejpam-6024	350	27	of	of	ADP
ejpam-6024	350	28	k	k	PROPN
ejpam-6024	350	29	values	value	NOUN
ejpam-6024	350	30	even	even	ADV
ejpam-6024	350	31	if	if	SCONJ
ejpam-6024	350	32	the	the	DET
ejpam-6024	350	33	observations	observation	NOUN
ejpam-6024	350	34	of	of	ADP
ejpam-6024	350	35	insured	insured	ADJ
ejpam-6024	350	36	risks	risk	NOUN
ejpam-6024	350	37	exhibit	exhibit	VERB
ejpam-6024	350	38	serial	serial	ADJ
ejpam-6024	350	39	dependence	dependence	NOUN
ejpam-6024	350	40	.	.	PUNCT
ejpam-6024	351	1	thus	thus	ADV
ejpam-6024	351	2	,	,	PUNCT
ejpam-6024	351	3	the	the	DET
ejpam-6024	351	4	bias	bias	NOUN
ejpam-6024	351	5	reduction	reduction	NOUN
ejpam-6024	351	6	method	method	NOUN
ejpam-6024	351	7	under	under	ADP
ejpam-6024	351	8	dependence	dependence	NOUN
ejpam-6024	351	9	serials	serial	NOUN
ejpam-6024	351	10	helps	help	VERB
ejpam-6024	351	11	to	to	PART
ejpam-6024	351	12	tackle	tackle	VERB
ejpam-6024	351	13	the	the	DET
ejpam-6024	351	14	two	two	NUM
ejpam-6024	351	15	major	major	ADJ
ejpam-6024	351	16	critiques	critique	NOUN
ejpam-6024	351	17	for	for	ADP
ejpam-6024	351	18	applying	apply	VERB
ejpam-6024	351	19	extreme	extreme	ADJ
ejpam-6024	351	20	value	value	NOUN
ejpam-6024	351	21	statistics	statistic	NOUN
ejpam-6024	351	22	to	to	ADP
ejpam-6024	351	23	time	time	NOUN
ejpam-6024	351	24	series	series	PROPN
ejpam-6024	351	25	in	in	ADP
ejpam-6024	351	26	insurance	insurance	NOUN
ejpam-6024	351	27	data	datum	NOUN
ejpam-6024	351	28	.	.	PUNCT
ejpam-6024	352	1	as	as	SCONJ
ejpam-6024	352	2	mentioned	mention	VERB
ejpam-6024	352	3	above	above	ADV
ejpam-6024	352	4	,	,	PUNCT
ejpam-6024	352	5	it	it	PRON
ejpam-6024	352	6	is	be	AUX
ejpam-6024	352	7	also	also	ADV
ejpam-6024	352	8	crucial	crucial	ADJ
ejpam-6024	352	9	to	to	PART
ejpam-6024	352	10	compare	compare	VERB
ejpam-6024	352	11	the	the	DET
ejpam-6024	352	12	estimators	estimator	NOUN
ejpam-6024	352	13	at	at	ADP
ejpam-6024	352	14	their	their	PRON
ejpam-6024	352	15	optimal	optimal	ADJ
ejpam-6024	352	16	number	number	NOUN
ejpam-6024	352	17	k	k	PROPN
ejpam-6024	352	18	of	of	ADP
ejpam-6024	352	19	top	top	ADJ
ejpam-6024	352	20	extreme	extreme	ADJ
ejpam-6024	352	21	risks	risk	NOUN
ejpam-6024	352	22	.	.	PUNCT
ejpam-6024	353	1	to	to	ADP
ejpam-6024	353	2	this	this	DET
ejpam-6024	353	3	end	end	NOUN
ejpam-6024	353	4	,	,	PUNCT
ejpam-6024	353	5	we	we	PRON
ejpam-6024	353	6	use	use	VERB
ejpam-6024	353	7	the	the	DET
ejpam-6024	353	8	algorithm	algorithm	NOUN
ejpam-6024	353	9	of	of	ADP
ejpam-6024	353	10	[	[	X
ejpam-6024	353	11	15	15	NUM
ejpam-6024	353	12	]	]	PUNCT
ejpam-6024	353	13	,	,	PUNCT
ejpam-6024	353	14	page	page	NOUN
ejpam-6024	353	15	137	137	NUM
ejpam-6024	353	16	,	,	PUNCT
ejpam-6024	353	17	which	which	PRON
ejpam-6024	353	18	gives	give	VERB
ejpam-6024	353	19	an	an	DET
ejpam-6024	353	20	automatic	automatic	ADJ
ejpam-6024	353	21	choice	choice	NOUN
ejpam-6024	353	22	of	of	ADP
ejpam-6024	353	23	k	k	PROPN
ejpam-6024	353	24	for	for	ADP
ejpam-6024	353	25	any	any	DET
ejpam-6024	353	26	estimator	estimator	NOUN
ejpam-6024	353	27	γ̂•	γ̂•	PROPN
ejpam-6024	353	28	k	k	PROPN
ejpam-6024	353	29	of	of	ADP
ejpam-6024	353	30	the	the	DET
ejpam-6024	353	31	tail	tail	NOUN
ejpam-6024	353	32	index	index	NOUN
ejpam-6024	353	33	γ	γ	PROPN
ejpam-6024	353	34	.	.	PUNCT
ejpam-6024	354	1	according	accord	VERB
ejpam-6024	354	2	to	to	ADP
ejpam-6024	354	3	these	these	DET
ejpam-6024	354	4	authors	author	NOUN
ejpam-6024	354	5	,	,	PUNCT
ejpam-6024	354	6	an	an	DET
ejpam-6024	354	7	automatic	automatic	ADJ
ejpam-6024	354	8	choice	choice	NOUN
ejpam-6024	354	9	of	of	ADP
ejpam-6024	354	10	top	top	ADJ
ejpam-6024	354	11	extremes	extreme	NOUN
ejpam-6024	354	12	as	as	ADP
ejpam-6024	354	13	the	the	DET
ejpam-6024	354	14	value	value	NOUN
ejpam-6024	354	15	k∗	k∗	NOUN
ejpam-6024	354	16	that	that	PRON
ejpam-6024	354	17	minimizes	minimize	VERB
ejpam-6024	354	18	1	1	NUM
ejpam-6024	354	19	k	k	NOUN
ejpam-6024	354	20	k∑	k∑	NOUN
ejpam-6024	355	1	j=1	j=1	PROPN
ejpam-6024	355	2	jδ	jδ	ADP
ejpam-6024	356	1	∣∣∣γ̂•	∣∣∣γ̂•	PROPN
ejpam-6024	356	2	j	j	PROPN
ejpam-6024	356	3	−median	−median	NOUN
ejpam-6024	356	4	(	(	PUNCT
ejpam-6024	356	5	γ̂•	γ̂•	ADV
ejpam-6024	356	6	1	1	NUM
ejpam-6024	356	7	,	,	PUNCT
ejpam-6024	356	8	...	...	PUNCT
ejpam-6024	356	9	,	,	PUNCT
ejpam-6024	356	10	γ̂	γ̂	NUM
ejpam-6024	356	11	•	•	NUM
ejpam-6024	356	12	k	k	NOUN
ejpam-6024	356	13	)	)	PUNCT
ejpam-6024	356	14	∣∣∣	∣∣∣	ADJ
ejpam-6024	356	15	,	,	PUNCT
ejpam-6024	356	16	(	(	PUNCT
ejpam-6024	356	17	29	29	NUM
ejpam-6024	356	18	)	)	PUNCT
ejpam-6024	356	19	where	where	SCONJ
ejpam-6024	356	20	1	1	NUM
ejpam-6024	356	21	≤	≤	NUM
ejpam-6024	356	22	k	k	X
ejpam-6024	356	23	≤	≤	NUM
ejpam-6024	356	24	m	m	PROPN
ejpam-6024	356	25	and	and	CCONJ
ejpam-6024	356	26	0	0	NUM
ejpam-6024	356	27	≤	≤	NUM
ejpam-6024	356	28	δ	δ	PROPN
ejpam-6024	356	29	<	<	X
ejpam-6024	356	30	1/2	1/2	NUM
ejpam-6024	356	31	.	.	PUNCT
ejpam-6024	357	1	by	by	ADP
ejpam-6024	357	2	the	the	DET
ejpam-6024	357	3	way	way	NOUN
ejpam-6024	357	4	,	,	PUNCT
ejpam-6024	357	5	choosing	choose	VERB
ejpam-6024	357	6	δ	δ	X
ejpam-6024	357	7	=	=	SYM
ejpam-6024	357	8	1/4	1/4	NUM
ejpam-6024	357	9	,	,	PUNCT
ejpam-6024	357	10	we	we	PRON
ejpam-6024	357	11	compute	compute	VERB
ejpam-6024	357	12	the	the	DET
ejpam-6024	357	13	optimal	optimal	ADJ
ejpam-6024	357	14	values	value	NOUN
ejpam-6024	357	15	k∗	k∗	VERB
ejpam-6024	357	16	as	as	ADP
ejpam-6024	357	17	in	in	ADP
ejpam-6024	357	18	(	(	PUNCT
ejpam-6024	357	19	29	29	NUM
ejpam-6024	357	20	)	)	PUNCT
ejpam-6024	357	21	for	for	ADP
ejpam-6024	357	22	each	each	DET
ejpam-6024	357	23	tail	tail	NOUN
ejpam-6024	357	24	index	index	NOUN
ejpam-6024	357	25	estimator	estimator	NOUN
ejpam-6024	357	26	used	use	VERB
ejpam-6024	357	27	in	in	ADP
ejpam-6024	357	28	the	the	DET
ejpam-6024	357	29	computation	computation	NOUN
ejpam-6024	357	30	of	of	ADP
ejpam-6024	357	31	their	their	PRON
ejpam-6024	357	32	associated	associate	VERB
ejpam-6024	357	33	distortion	distortion	NOUN
ejpam-6024	357	34	risk	risk	NOUN
ejpam-6024	357	35	premium	premium	NOUN
ejpam-6024	357	36	estimators	estimator	NOUN
ejpam-6024	357	37	π̂β	π̂β	ADP
ejpam-6024	357	38	,	,	PUNCT
ejpam-6024	357	39	k	k	NOUN
ejpam-6024	357	40	,	,	PUNCT
ejpam-6024	357	41	n	n	PROPN
ejpam-6024	357	42	and	and	CCONJ
ejpam-6024	357	43	π̃β	π̃β	PROPN
ejpam-6024	357	44	,	,	PUNCT
ejpam-6024	357	45	k	k	PROPN
ejpam-6024	357	46	,	,	PUNCT
ejpam-6024	357	47	n	n	CCONJ
ejpam-6024	357	48	,	,	PUNCT
ejpam-6024	357	49	ρ̂.	ρ̂.	NOUN
ejpam-6024	357	50	in	in	ADP
ejpam-6024	357	51	table	table	NOUN
ejpam-6024	357	52	2	2	NUM
ejpam-6024	357	53	,	,	PUNCT
ejpam-6024	357	54	we	we	PRON
ejpam-6024	357	55	present	present	VERB
ejpam-6024	357	56	the	the	DET
ejpam-6024	357	57	results	result	NOUN
ejpam-6024	357	58	of	of	ADP
ejpam-6024	357	59	the	the	DET
ejpam-6024	357	60	estimated	estimate	VERB
ejpam-6024	357	61	values	value	NOUN
ejpam-6024	357	62	of	of	ADP
ejpam-6024	357	63	the	the	DET
ejpam-6024	357	64	above	above	ADV
ejpam-6024	357	65	mentioned	mention	VERB
ejpam-6024	357	66	distortions	distortion	NOUN
ejpam-6024	357	67	risk	risk	VERB
ejpam-6024	357	68	premium	premium	NOUN
ejpam-6024	357	69	estimators	estimator	NOUN
ejpam-6024	357	70	.	.	PUNCT
ejpam-6024	358	1	since	since	SCONJ
ejpam-6024	358	2	their	their	PRON
ejpam-6024	358	3	asymptotic	asymptotic	ADJ
ejpam-6024	358	4	variances	variance	NOUN
ejpam-6024	358	5	depend	depend	VERB
ejpam-6024	358	6	on	on	ADP
ejpam-6024	358	7	some	some	DET
ejpam-6024	358	8	unknown	unknown	ADJ
ejpam-6024	358	9	parameters	parameter	NOUN
ejpam-6024	358	10	,	,	PUNCT
ejpam-6024	358	11	we	we	PRON
ejpam-6024	358	12	opt	opt	VERB
ejpam-6024	358	13	to	to	PART
ejpam-6024	358	14	use	use	VERB
ejpam-6024	358	15	a	a	DET
ejpam-6024	358	16	block	block	NOUN
ejpam-6024	358	17	bootstrapping	bootstrappe	VERB
ejpam-6024	358	18	method	method	NOUN
ejpam-6024	358	19	to	to	PART
ejpam-6024	358	20	construct	construct	VERB
ejpam-6024	358	21	a	a	DET
ejpam-6024	358	22	95	95	NUM
ejpam-6024	358	23	%	%	NOUN
ejpam-6024	358	24	confidence	confidence	NOUN
ejpam-6024	358	25	interval	interval	NOUN
ejpam-6024	358	26	for	for	ADP
ejpam-6024	358	27	the	the	DET
ejpam-6024	358	28	reinsurance	reinsurance	NOUN
ejpam-6024	358	29	premiums	premium	NOUN
ejpam-6024	358	30	.	.	PUNCT
ejpam-6024	359	1	the	the	DET
ejpam-6024	359	2	block	block	NOUN
ejpam-6024	359	3	bootstrapping	bootstrapping	NOUN
ejpam-6024	359	4	follows	follow	VERB
ejpam-6024	359	5	the	the	DET
ejpam-6024	359	6	routine	routine	ADJ
ejpam-6024	359	7	boot	boot	NOUN
ejpam-6024	359	8	of	of	ADP
ejpam-6024	359	9	the	the	DET
ejpam-6024	359	10	package	package	NOUN
ejpam-6024	359	11	boot	boot	NOUN
ejpam-6024	359	12	in	in	ADP
ejpam-6024	359	13	r	r	NOUN
ejpam-6024	359	14	software	software	NOUN
ejpam-6024	359	15	.	.	PUNCT
ejpam-6024	360	1	by	by	ADP
ejpam-6024	360	2	repeating	repeat	VERB
ejpam-6024	360	3	such	such	ADJ
ejpam-6024	360	4	bootstrapping	bootstrappe	VERB
ejpam-6024	360	5	procedure	procedure	NOUN
ejpam-6024	360	6	t	t	NOUN
ejpam-6024	360	7	=	=	SYM
ejpam-6024	360	8	10	10	NUM
ejpam-6024	360	9	,	,	PUNCT
ejpam-6024	360	10	000	000	NUM
ejpam-6024	360	11	times	time	NOUN
ejpam-6024	360	12	,	,	PUNCT
ejpam-6024	360	13	we	we	PRON
ejpam-6024	360	14	obtain	obtain	VERB
ejpam-6024	360	15	t	t	NOUN
ejpam-6024	360	16	bootstrapped	bootstrappe	VERB
ejpam-6024	360	17	estimates	estimate	NOUN
ejpam-6024	360	18	for	for	ADP
ejpam-6024	360	19	each	each	DET
ejpam-6024	360	20	distortion	distortion	NOUN
ejpam-6024	360	21	risk	risk	NOUN
ejpam-6024	360	22	premium	premium	NOUN
ejpam-6024	360	23	estimator	estimator	NOUN
ejpam-6024	360	24	.	.	PUNCT
ejpam-6024	361	1	the	the	DET
ejpam-6024	361	2	sample	sample	NOUN
ejpam-6024	361	3	standard	standard	ADJ
ejpam-6024	361	4	deviation	deviation	NOUN
ejpam-6024	361	5	across	across	ADP
ejpam-6024	361	6	the	the	DET
ejpam-6024	361	7	t	t	NOUN
ejpam-6024	361	8	estimates	estimate	NOUN
ejpam-6024	361	9	gives	give	VERB
ejpam-6024	361	10	an	an	DET
ejpam-6024	361	11	estimate	estimate	NOUN
ejpam-6024	361	12	of	of	ADP
ejpam-6024	361	13	the	the	DET
ejpam-6024	361	14	standard	standard	ADJ
ejpam-6024	361	15	deviation	deviation	NOUN
ejpam-6024	361	16	of	of	ADP
ejpam-6024	361	17	the	the	DET
ejpam-6024	361	18	underlying	underlie	VERB
ejpam-6024	361	19	estimators	estimator	NOUN
ejpam-6024	361	20	for	for	ADP
ejpam-6024	361	21	a	a	DET
ejpam-6024	361	22	given	give	VERB
ejpam-6024	361	23	k	k	PROPN
ejpam-6024	361	24	∈	∈	PROPN
ejpam-6024	361	25	{	{	PUNCT
ejpam-6024	361	26	1	1	NUM
ejpam-6024	361	27	,	,	PUNCT
ejpam-6024	361	28	...	...	PUNCT
ejpam-6024	361	29	,	,	PUNCT
ejpam-6024	361	30	m	m	VERB
ejpam-6024	361	31	}	}	PUNCT
ejpam-6024	361	32	.	.	PUNCT
ejpam-6024	362	1	we	we	PRON
ejpam-6024	362	2	construct	construct	VERB
ejpam-6024	362	3	the	the	DET
ejpam-6024	362	4	95	95	NUM
ejpam-6024	362	5	%	%	NOUN
ejpam-6024	362	6	confidence	confidence	NOUN
ejpam-6024	362	7	interval	interval	NOUN
ejpam-6024	362	8	using	use	VERB
ejpam-6024	362	9	the	the	DET
ejpam-6024	362	10	point	point	NOUN
ejpam-6024	362	11	estimate	estimate	NOUN
ejpam-6024	362	12	and	and	CCONJ
ejpam-6024	362	13	the	the	DET
ejpam-6024	362	14	estimated	estimate	VERB
ejpam-6024	362	15	standard	standard	ADJ
ejpam-6024	362	16	deviation	deviation	NOUN
ejpam-6024	362	17	.	.	PUNCT
ejpam-6024	363	1	this	this	DET
ejpam-6024	363	2	procedure	procedure	NOUN
ejpam-6024	363	3	is	be	AUX
ejpam-6024	363	4	applied	apply	VERB
ejpam-6024	363	5	to	to	ADP
ejpam-6024	363	6	all	all	DET
ejpam-6024	363	7	values	value	NOUN
ejpam-6024	363	8	of	of	ADP
ejpam-6024	363	9	k	k	PROPN
ejpam-6024	363	10	of	of	ADP
ejpam-6024	363	11	each	each	DET
ejpam-6024	363	12	estimator	estimator	NOUN
ejpam-6024	363	13	.	.	PUNCT
ejpam-6024	364	1	the	the	DET
ejpam-6024	364	2	point	point	NOUN
ejpam-6024	364	3	estimates	estimate	NOUN
ejpam-6024	364	4	of	of	ADP
ejpam-6024	364	5	the	the	DET
ejpam-6024	364	6	distortion	distortion	NOUN
ejpam-6024	364	7	risk	risk	NOUN
ejpam-6024	364	8	premium	premium	NOUN
ejpam-6024	364	9	at	at	ADP
ejpam-6024	364	10	its	its	PRON
ejpam-6024	364	11	optimal	optimal	ADJ
ejpam-6024	364	12	value	value	NOUN
ejpam-6024	364	13	k∗	k∗	NOUN
ejpam-6024	364	14	as	as	ADV
ejpam-6024	364	15	well	well	ADV
ejpam-6024	364	16	as	as	ADP
ejpam-6024	364	17	the	the	DET
ejpam-6024	364	18	lower	lower	ADV
ejpam-6024	364	19	bound	bind	VERB
ejpam-6024	364	20	(	(	PUNCT
ejpam-6024	364	21	lb	lb	NOUN
ejpam-6024	364	22	)	)	PUNCT
ejpam-6024	364	23	,	,	PUNCT
ejpam-6024	364	24	upper	upper	ADJ
ejpam-6024	364	25	bound	bound	ADJ
ejpam-6024	364	26	(	(	PUNCT
ejpam-6024	364	27	ub	ub	PROPN
ejpam-6024	364	28	)	)	PUNCT
ejpam-6024	364	29	and	and	CCONJ
ejpam-6024	364	30	the	the	DET
ejpam-6024	364	31	cover	cover	NOUN
ejpam-6024	364	32	of	of	ADP
ejpam-6024	364	33	the	the	DET
ejpam-6024	364	34	confidence	confidence	NOUN
ejpam-6024	364	35	intervals	interval	NOUN
ejpam-6024	364	36	are	be	AUX
ejpam-6024	364	37	given	give	VERB
ejpam-6024	364	38	in	in	ADP
ejpam-6024	364	39	table	table	NOUN
ejpam-6024	364	40	2	2	NUM
ejpam-6024	364	41	.	.	PUNCT
ejpam-6024	365	1	after	after	ADP
ejpam-6024	365	2	the	the	DET
ejpam-6024	365	3	inspection	inspection	NOUN
ejpam-6024	365	4	of	of	ADP
ejpam-6024	365	5	the	the	DET
ejpam-6024	365	6	table	table	NOUN
ejpam-6024	365	7	,	,	PUNCT
ejpam-6024	365	8	two	two	NUM
ejpam-6024	365	9	conclusions	conclusion	NOUN
ejpam-6024	365	10	can	can	AUX
ejpam-6024	365	11	be	be	AUX
ejpam-6024	365	12	drawn	draw	VERB
ejpam-6024	365	13	regardless	regardless	ADV
ejpam-6024	365	14	of	of	ADP
ejpam-6024	365	15	the	the	DET
ejpam-6024	365	16	situation	situation	NOUN
ejpam-6024	365	17	.	.	PUNCT
ejpam-6024	366	1	first	first	ADV
ejpam-6024	366	2	,	,	PUNCT
ejpam-6024	366	3	we	we	PRON
ejpam-6024	366	4	notice	notice	VERB
ejpam-6024	366	5	that	that	SCONJ
ejpam-6024	366	6	the	the	DET
ejpam-6024	366	7	absolute	absolute	ADJ
ejpam-6024	366	8	bias	bias	NOUN
ejpam-6024	366	9	of	of	ADP
ejpam-6024	366	10	the	the	DET
ejpam-6024	366	11	reduced	reduce	VERB
ejpam-6024	366	12	bias	bias	NOUN
ejpam-6024	366	13	estimator	estimator	NOUN
ejpam-6024	366	14	π̃	π̃	PROPN
ejpam-6024	366	15	(	(	PUNCT
ejpam-6024	366	16	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	366	17	opt	opt	NOUN
ejpam-6024	366	18	)	)	PUNCT
ejpam-6024	366	19	β	β	X
ejpam-6024	366	20	,	,	PUNCT
ejpam-6024	366	21	k	k	NOUN
ejpam-6024	366	22	,	,	PUNCT
ejpam-6024	366	23	n	n	CCONJ
ejpam-6024	366	24	,	,	PUNCT
ejpam-6024	366	25	ρ̂	ρ̂	NUM
ejpam-6024	366	26	is	be	AUX
ejpam-6024	366	27	lower	low	ADJ
ejpam-6024	366	28	than	than	ADP
ejpam-6024	366	29	the	the	DET
ejpam-6024	366	30	class	class	NOUN
ejpam-6024	366	31	of	of	ADP
ejpam-6024	366	32	biased	biased	ADJ
ejpam-6024	366	33	estimators	estimator	NOUN
ejpam-6024	366	34	π̂	π̂	PUNCT
ejpam-6024	366	35	(	(	PUNCT
ejpam-6024	366	36	k	k	NOUN
ejpam-6024	366	37	)	)	PUNCT
ejpam-6024	366	38	β	β	NOUN
ejpam-6024	366	39	,	,	PUNCT
ejpam-6024	366	40	k	k	NOUN
ejpam-6024	366	41	,	,	PUNCT
ejpam-6024	366	42	n	n	CCONJ
ejpam-6024	366	43	,	,	PUNCT
ejpam-6024	366	44	π̂	π̂	PUNCT
ejpam-6024	366	45	(	(	PUNCT
ejpam-6024	366	46	k2,ρ	k2,ρ	PROPN
ejpam-6024	366	47	)	)	PUNCT
ejpam-6024	366	48	β	β	NOUN
ejpam-6024	366	49	,	,	PUNCT
ejpam-6024	366	50	k	k	NOUN
ejpam-6024	366	51	,	,	PUNCT
ejpam-6024	366	52	n	n	PROPN
ejpam-6024	366	53	and	and	CCONJ
ejpam-6024	366	54	π̂	π̂	NUM
ejpam-6024	366	55	(	(	PUNCT
ejpam-6024	366	56	kl	kl	X
ejpam-6024	366	57	,	,	PUNCT
ejpam-6024	366	58	κ	κ	NOUN
ejpam-6024	366	59	)	)	PUNCT
ejpam-6024	366	60	β	β	NOUN
ejpam-6024	366	61	,	,	PUNCT
ejpam-6024	366	62	k	k	NOUN
ejpam-6024	366	63	,	,	PUNCT
ejpam-6024	366	64	n	n	X
ejpam-6024	366	65	,	,	PUNCT
ejpam-6024	366	66	.	.	PUNCT
ejpam-6024	367	1	second	second	ADJ
ejpam-6024	367	2	,	,	PUNCT
ejpam-6024	367	3	the	the	DET
ejpam-6024	367	4	reduced	reduce	VERB
ejpam-6024	367	5	bias	bias	NOUN
ejpam-6024	367	6	estimator	estimator	NOUN
ejpam-6024	367	7	π̃	π̃	PROPN
ejpam-6024	367	8	(	(	PUNCT
ejpam-6024	367	9	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	367	10	opt	opt	NOUN
ejpam-6024	367	11	)	)	PUNCT
ejpam-6024	368	1	β	β	X
ejpam-6024	368	2	,	,	PUNCT
ejpam-6024	368	3	k	k	NOUN
ejpam-6024	368	4	,	,	PUNCT
ejpam-6024	368	5	n	n	CCONJ
ejpam-6024	368	6	,	,	PUNCT
ejpam-6024	368	7	ρ̂	ρ̂	NUM
ejpam-6024	368	8	is	be	AUX
ejpam-6024	368	9	more	more	ADV
ejpam-6024	368	10	efficient	efficient	ADJ
ejpam-6024	368	11	than	than	ADP
ejpam-6024	368	12	the	the	DET
ejpam-6024	368	13	class	class	NOUN
ejpam-6024	368	14	of	of	ADP
ejpam-6024	368	15	biased	biased	ADJ
ejpam-6024	368	16	estimators	estimator	NOUN
ejpam-6024	368	17	regardless	regardless	ADV
ejpam-6024	368	18	to	to	ADP
ejpam-6024	368	19	the	the	DET
ejpam-6024	368	20	the	the	DET
ejpam-6024	368	21	root	root	NOUN
ejpam-6024	368	22	median	median	NOUN
ejpam-6024	368	23	squared	square	VERB
ejpam-6024	368	24	errors	error	NOUN
ejpam-6024	368	25	and	and	CCONJ
ejpam-6024	368	26	the	the	DET
ejpam-6024	368	27	cover	cover	NOUN
ejpam-6024	368	28	values	value	NOUN
ejpam-6024	368	29	.	.	PUNCT
ejpam-6024	369	1	that	that	PRON
ejpam-6024	369	2	illustrates	illustrate	VERB
ejpam-6024	369	3	well	well	INTJ
ejpam-6024	369	4	our	our	PRON
ejpam-6024	369	5	conclusions	conclusion	NOUN
ejpam-6024	369	6	drawn	draw	VERB
ejpam-6024	369	7	from	from	ADP
ejpam-6024	369	8	the	the	DET
ejpam-6024	369	9	graphical	graphical	ADJ
ejpam-6024	369	10	analysis	analysis	NOUN
ejpam-6024	369	11	.	.	PUNCT
ejpam-6024	370	1	a.	a.	NOUN
ejpam-6024	370	2	aghrabatt	aghrabatt	PROPN
ejpam-6024	370	3	et	et	PROPN
ejpam-6024	370	4	al	al	PROPN
ejpam-6024	370	5	.	.	PUNCT
ejpam-6024	370	6	/	/	SYM
ejpam-6024	370	7	eur	eur	PROPN
ejpam-6024	370	8	.	.	PUNCT
ejpam-6024	371	1	j.	j.	PROPN
ejpam-6024	371	2	pure	pure	PROPN
ejpam-6024	371	3	appl	appl	PROPN
ejpam-6024	371	4	.	.	PROPN
ejpam-6024	371	5	math	math	PROPN
ejpam-6024	371	6	,	,	PUNCT
ejpam-6024	371	7	18	18	NUM
ejpam-6024	371	8	(	(	PUNCT
ejpam-6024	371	9	2	2	NUM
ejpam-6024	371	10	)	)	PUNCT
ejpam-6024	371	11	(	(	PUNCT
ejpam-6024	371	12	2025	2025	NUM
ejpam-6024	371	13	)	)	PUNCT
ejpam-6024	371	14	,	,	PUNCT
ejpam-6024	371	15	6024	6024	NUM
ejpam-6024	371	16	17	17	NUM
ejpam-6024	371	17	of	of	ADP
ejpam-6024	371	18	25	25	NUM
ejpam-6024	371	19	figure	figure	NOUN
ejpam-6024	371	20	1	1	NUM
ejpam-6024	371	21	:	:	PUNCT
ejpam-6024	371	22	absolute	absolute	ADJ
ejpam-6024	371	23	bias	bias	NOUN
ejpam-6024	371	24	of	of	ADP
ejpam-6024	371	25	the	the	DET
ejpam-6024	371	26	median	median	NOUN
ejpam-6024	371	27	(	(	PUNCT
ejpam-6024	371	28	left	leave	VERB
ejpam-6024	371	29	column	column	NOUN
ejpam-6024	371	30	)	)	PUNCT
ejpam-6024	371	31	and	and	CCONJ
ejpam-6024	371	32	root	root	NOUN
ejpam-6024	371	33	median	median	NOUN
ejpam-6024	371	34	squared	square	VERB
ejpam-6024	371	35	error	error	NOUN
ejpam-6024	371	36	(	(	PUNCT
ejpam-6024	371	37	right	right	ADJ
ejpam-6024	371	38	column	column	NOUN
ejpam-6024	371	39	)	)	PUNCT
ejpam-6024	371	40	of	of	ADP
ejpam-6024	371	41	π̂	π̂	X
ejpam-6024	371	42	(	(	PUNCT
ejpam-6024	371	43	k	k	NOUN
ejpam-6024	371	44	)	)	PUNCT
ejpam-6024	371	45	β	β	NOUN
ejpam-6024	371	46	,	,	PUNCT
ejpam-6024	371	47	k	k	PROPN
ejpam-6024	371	48	,	,	PUNCT
ejpam-6024	371	49	n	n	CCONJ
ejpam-6024	371	50	(	(	PUNCT
ejpam-6024	371	51	full	full	ADJ
ejpam-6024	371	52	line	line	NOUN
ejpam-6024	371	53	)	)	PUNCT
ejpam-6024	371	54	,	,	PUNCT
ejpam-6024	371	55	π̂	π̂	PUNCT
ejpam-6024	371	56	(	(	PUNCT
ejpam-6024	371	57	k2,ρ	k2,ρ	PROPN
ejpam-6024	371	58	)	)	PUNCT
ejpam-6024	371	59	β	β	NOUN
ejpam-6024	371	60	,	,	PUNCT
ejpam-6024	371	61	k	k	PROPN
ejpam-6024	371	62	,	,	PUNCT
ejpam-6024	371	63	n	n	CCONJ
ejpam-6024	371	64	(	(	PUNCT
ejpam-6024	371	65	dashed	dash	VERB
ejpam-6024	371	66	line	line	NOUN
ejpam-6024	371	67	)	)	PUNCT
ejpam-6024	371	68	,	,	PUNCT
ejpam-6024	371	69	π̂	π̂	PUNCT
ejpam-6024	371	70	(	(	PUNCT
ejpam-6024	371	71	kl	kl	X
ejpam-6024	371	72	,	,	PUNCT
ejpam-6024	371	73	κ	κ	NOUN
ejpam-6024	371	74	)	)	PUNCT
ejpam-6024	371	75	β	β	NOUN
ejpam-6024	371	76	,	,	PUNCT
ejpam-6024	371	77	k	k	PROPN
ejpam-6024	371	78	,	,	PUNCT
ejpam-6024	371	79	n	n	CCONJ
ejpam-6024	371	80	(	(	PUNCT
ejpam-6024	371	81	dotted	dotted	ADJ
ejpam-6024	371	82	line	line	NOUN
ejpam-6024	371	83	)	)	PUNCT
ejpam-6024	371	84	and	and	CCONJ
ejpam-6024	371	85	π̃	π̃	PROPN
ejpam-6024	371	86	(	(	PUNCT
ejpam-6024	371	87	k	k	PROPN
ejpam-6024	371	88	∆̂∗	∆̂∗	PROPN
ejpam-6024	371	89	opt	opt	PROPN
ejpam-6024	371	90	)	)	PUNCT
ejpam-6024	371	91	β	β	X
ejpam-6024	371	92	,	,	PUNCT
ejpam-6024	371	93	k	k	NOUN
ejpam-6024	371	94	,	,	PUNCT
ejpam-6024	371	95	n	n	CCONJ
ejpam-6024	371	96	,	,	PUNCT
ejpam-6024	371	97	ρ̂	ρ̂	NUM
ejpam-6024	371	98	(	(	PUNCT
ejpam-6024	371	99	dotdash	dotdash	VERB
ejpam-6024	371	100	line	line	NOUN
ejpam-6024	371	101	)	)	PUNCT
ejpam-6024	371	102	as	as	ADP
ejpam-6024	371	103	a	a	DET
ejpam-6024	371	104	function	function	NOUN
ejpam-6024	371	105	of	of	ADP
ejpam-6024	371	106	k	k	PROPN
ejpam-6024	371	107	based	base	VERB
ejpam-6024	371	108	on	on	ADP
ejpam-6024	371	109	n	n	NOUN
ejpam-6024	371	110	=	=	SYM
ejpam-6024	371	111	1000	1000	NUM
ejpam-6024	371	112	samples	sample	NOUN
ejpam-6024	371	113	of	of	ADP
ejpam-6024	371	114	size	size	NOUN
ejpam-6024	371	115	1000	1000	NUM
ejpam-6024	371	116	of	of	ADP
ejpam-6024	371	117	the	the	DET
ejpam-6024	371	118	models	model	NOUN
ejpam-6024	371	119	in	in	ADP
ejpam-6024	371	120	table	table	NOUN
ejpam-6024	371	121	1	1	NUM
ejpam-6024	371	122	:	:	PUNCT
ejpam-6024	371	123	independence	independence	NOUN
ejpam-6024	371	124	model	model	NOUN
ejpam-6024	371	125	(	(	PUNCT
ejpam-6024	371	126	top	top	NOUN
ejpam-6024	371	127	)	)	PUNCT
ejpam-6024	371	128	,	,	PUNCT
ejpam-6024	371	129	ar(1	ar(1	PROPN
ejpam-6024	371	130	)	)	PUNCT
ejpam-6024	371	131	model	model	NOUN
ejpam-6024	371	132	(	(	PUNCT
ejpam-6024	371	133	middle	middle	NOUN
ejpam-6024	371	134	)	)	PUNCT
ejpam-6024	371	135	and	and	CCONJ
ejpam-6024	371	136	ma(1	ma(1	NOUN
ejpam-6024	371	137	)	)	PUNCT
ejpam-6024	371	138	model	model	NOUN
ejpam-6024	371	139	(	(	PUNCT
ejpam-6024	371	140	down	down	ADV
ejpam-6024	371	141	)	)	PUNCT
ejpam-6024	371	142	for	for	ADP
ejpam-6024	371	143	the	the	DET
ejpam-6024	371	144	distortion	distortion	NOUN
ejpam-6024	371	145	risk	risk	NOUN
ejpam-6024	371	146	premiums	premium	NOUN
ejpam-6024	371	147	with	with	ADP
ejpam-6024	371	148	aversion	aversion	NOUN
ejpam-6024	371	149	index	index	NOUN
ejpam-6024	371	150	β	β	NOUN
ejpam-6024	371	151	=	=	SYM
ejpam-6024	371	152	1	1	X
ejpam-6024	371	153	.	.	PUNCT
ejpam-6024	371	154	a.	a.	NOUN
ejpam-6024	371	155	aghrabatt	aghrabatt	PROPN
ejpam-6024	371	156	et	et	PROPN
ejpam-6024	371	157	al	al	PROPN
ejpam-6024	371	158	.	.	PUNCT
ejpam-6024	371	159	/	/	SYM
ejpam-6024	371	160	eur	eur	PROPN
ejpam-6024	371	161	.	.	PUNCT
ejpam-6024	372	1	j.	j.	PROPN
ejpam-6024	372	2	pure	pure	PROPN
ejpam-6024	372	3	appl	appl	PROPN
ejpam-6024	372	4	.	.	PROPN
ejpam-6024	372	5	math	math	PROPN
ejpam-6024	372	6	,	,	PUNCT
ejpam-6024	372	7	18	18	NUM
ejpam-6024	372	8	(	(	PUNCT
ejpam-6024	372	9	2	2	NUM
ejpam-6024	372	10	)	)	PUNCT
ejpam-6024	372	11	(	(	PUNCT
ejpam-6024	372	12	2025	2025	NUM
ejpam-6024	372	13	)	)	PUNCT
ejpam-6024	372	14	,	,	PUNCT
ejpam-6024	372	15	6024	6024	NUM
ejpam-6024	372	16	18	18	NUM
ejpam-6024	372	17	of	of	ADP
ejpam-6024	372	18	25	25	NUM
ejpam-6024	372	19	figure	figure	NOUN
ejpam-6024	372	20	2	2	NUM
ejpam-6024	372	21	:	:	PUNCT
ejpam-6024	372	22	absolute	absolute	ADJ
ejpam-6024	372	23	bias	bias	NOUN
ejpam-6024	372	24	of	of	ADP
ejpam-6024	372	25	the	the	DET
ejpam-6024	372	26	median	median	NOUN
ejpam-6024	372	27	(	(	PUNCT
ejpam-6024	372	28	left	leave	VERB
ejpam-6024	372	29	column	column	NOUN
ejpam-6024	372	30	)	)	PUNCT
ejpam-6024	372	31	and	and	CCONJ
ejpam-6024	372	32	root	root	NOUN
ejpam-6024	372	33	median	median	NOUN
ejpam-6024	372	34	squared	square	VERB
ejpam-6024	372	35	error	error	NOUN
ejpam-6024	372	36	(	(	PUNCT
ejpam-6024	372	37	right	right	ADJ
ejpam-6024	372	38	column	column	NOUN
ejpam-6024	372	39	)	)	PUNCT
ejpam-6024	372	40	of	of	ADP
ejpam-6024	372	41	π̂	π̂	X
ejpam-6024	372	42	(	(	PUNCT
ejpam-6024	372	43	k	k	NOUN
ejpam-6024	372	44	)	)	PUNCT
ejpam-6024	372	45	β	β	NOUN
ejpam-6024	372	46	,	,	PUNCT
ejpam-6024	372	47	k	k	PROPN
ejpam-6024	372	48	,	,	PUNCT
ejpam-6024	372	49	n	n	CCONJ
ejpam-6024	372	50	(	(	PUNCT
ejpam-6024	372	51	full	full	ADJ
ejpam-6024	372	52	line	line	NOUN
ejpam-6024	372	53	)	)	PUNCT
ejpam-6024	372	54	,	,	PUNCT
ejpam-6024	372	55	π̂	π̂	PUNCT
ejpam-6024	372	56	(	(	PUNCT
ejpam-6024	372	57	k2,ρ	k2,ρ	PROPN
ejpam-6024	372	58	)	)	PUNCT
ejpam-6024	372	59	β	β	NOUN
ejpam-6024	372	60	,	,	PUNCT
ejpam-6024	372	61	k	k	PROPN
ejpam-6024	372	62	,	,	PUNCT
ejpam-6024	372	63	n	n	CCONJ
ejpam-6024	372	64	(	(	PUNCT
ejpam-6024	372	65	dashed	dash	VERB
ejpam-6024	372	66	line	line	NOUN
ejpam-6024	372	67	)	)	PUNCT
ejpam-6024	372	68	,	,	PUNCT
ejpam-6024	372	69	π̂	π̂	PUNCT
ejpam-6024	372	70	(	(	PUNCT
ejpam-6024	372	71	kl	kl	X
ejpam-6024	372	72	,	,	PUNCT
ejpam-6024	372	73	κ	κ	NOUN
ejpam-6024	372	74	)	)	PUNCT
ejpam-6024	372	75	β	β	NOUN
ejpam-6024	372	76	,	,	PUNCT
ejpam-6024	372	77	k	k	PROPN
ejpam-6024	372	78	,	,	PUNCT
ejpam-6024	372	79	n	n	CCONJ
ejpam-6024	372	80	(	(	PUNCT
ejpam-6024	372	81	dotted	dotted	ADJ
ejpam-6024	372	82	line	line	NOUN
ejpam-6024	372	83	)	)	PUNCT
ejpam-6024	372	84	and	and	CCONJ
ejpam-6024	372	85	π̃	π̃	PROPN
ejpam-6024	372	86	(	(	PUNCT
ejpam-6024	372	87	k	k	PROPN
ejpam-6024	372	88	∆̂∗	∆̂∗	PROPN
ejpam-6024	372	89	opt	opt	PROPN
ejpam-6024	372	90	)	)	PUNCT
ejpam-6024	372	91	β	β	X
ejpam-6024	372	92	,	,	PUNCT
ejpam-6024	372	93	k	k	NOUN
ejpam-6024	372	94	,	,	PUNCT
ejpam-6024	372	95	n	n	CCONJ
ejpam-6024	372	96	,	,	PUNCT
ejpam-6024	372	97	ρ̂	ρ̂	NUM
ejpam-6024	372	98	(	(	PUNCT
ejpam-6024	372	99	dotdash	dotdash	VERB
ejpam-6024	372	100	line	line	NOUN
ejpam-6024	372	101	)	)	PUNCT
ejpam-6024	372	102	as	as	ADP
ejpam-6024	372	103	a	a	DET
ejpam-6024	372	104	function	function	NOUN
ejpam-6024	372	105	of	of	ADP
ejpam-6024	372	106	k	k	PROPN
ejpam-6024	372	107	based	base	VERB
ejpam-6024	372	108	on	on	ADP
ejpam-6024	372	109	n	n	NOUN
ejpam-6024	372	110	=	=	SYM
ejpam-6024	372	111	1000	1000	NUM
ejpam-6024	372	112	samples	sample	NOUN
ejpam-6024	372	113	of	of	ADP
ejpam-6024	372	114	size	size	NOUN
ejpam-6024	372	115	1000	1000	NUM
ejpam-6024	372	116	of	of	ADP
ejpam-6024	372	117	the	the	DET
ejpam-6024	372	118	models	model	NOUN
ejpam-6024	372	119	in	in	ADP
ejpam-6024	372	120	table	table	NOUN
ejpam-6024	372	121	1	1	NUM
ejpam-6024	372	122	:	:	PUNCT
ejpam-6024	372	123	independence	independence	NOUN
ejpam-6024	372	124	model	model	NOUN
ejpam-6024	372	125	(	(	PUNCT
ejpam-6024	372	126	top	top	NOUN
ejpam-6024	372	127	)	)	PUNCT
ejpam-6024	372	128	,	,	PUNCT
ejpam-6024	372	129	ar(1	ar(1	PROPN
ejpam-6024	372	130	)	)	PUNCT
ejpam-6024	372	131	model	model	NOUN
ejpam-6024	372	132	(	(	PUNCT
ejpam-6024	372	133	middle	middle	NOUN
ejpam-6024	372	134	)	)	PUNCT
ejpam-6024	372	135	and	and	CCONJ
ejpam-6024	372	136	ma(1	ma(1	NOUN
ejpam-6024	372	137	)	)	PUNCT
ejpam-6024	372	138	model	model	NOUN
ejpam-6024	372	139	(	(	PUNCT
ejpam-6024	372	140	down	down	ADV
ejpam-6024	372	141	)	)	PUNCT
ejpam-6024	372	142	for	for	ADP
ejpam-6024	372	143	the	the	DET
ejpam-6024	372	144	distortion	distortion	NOUN
ejpam-6024	372	145	risk	risk	NOUN
ejpam-6024	372	146	premiums	premium	NOUN
ejpam-6024	372	147	with	with	ADP
ejpam-6024	372	148	aversion	aversion	NOUN
ejpam-6024	372	149	index	index	NOUN
ejpam-6024	372	150	β	β	NOUN
ejpam-6024	372	151	=	=	NOUN
ejpam-6024	372	152	1.1	1.1	NUM
ejpam-6024	372	153	.	.	PUNCT
ejpam-6024	373	1	a.	a.	NOUN
ejpam-6024	373	2	aghrabatt	aghrabatt	PROPN
ejpam-6024	373	3	et	et	PROPN
ejpam-6024	373	4	al	al	PROPN
ejpam-6024	373	5	.	.	PUNCT
ejpam-6024	373	6	/	/	SYM
ejpam-6024	373	7	eur	eur	PROPN
ejpam-6024	373	8	.	.	PUNCT
ejpam-6024	374	1	j.	j.	PROPN
ejpam-6024	374	2	pure	pure	PROPN
ejpam-6024	374	3	appl	appl	PROPN
ejpam-6024	374	4	.	.	PROPN
ejpam-6024	374	5	math	math	PROPN
ejpam-6024	374	6	,	,	PUNCT
ejpam-6024	374	7	18	18	NUM
ejpam-6024	374	8	(	(	PUNCT
ejpam-6024	374	9	2	2	NUM
ejpam-6024	374	10	)	)	PUNCT
ejpam-6024	374	11	(	(	PUNCT
ejpam-6024	374	12	2025	2025	NUM
ejpam-6024	374	13	)	)	PUNCT
ejpam-6024	374	14	,	,	PUNCT
ejpam-6024	374	15	6024	6024	NUM
ejpam-6024	374	16	19	19	NUM
ejpam-6024	374	17	of	of	ADP
ejpam-6024	374	18	25	25	NUM
ejpam-6024	374	19	in	in	ADP
ejpam-6024	374	20	d	d	PROPN
ejpam-6024	374	21	ep	ep	PROPN
ejpam-6024	375	1	en	en	PROPN
ejpam-6024	375	2	d	d	PROPN
ejpam-6024	375	3	a	a	PROPN
ejpam-6024	375	4	n	n	X
ejpam-6024	375	5	ce	ce	NOUN
ejpam-6024	375	6	m	m	NOUN
ejpam-6024	375	7	o	o	PROPN
ejpam-6024	375	8	d	d	X
ejpam-6024	375	9	el	el	PROPN
ejpam-6024	375	10	(	(	PUNCT
ejpam-6024	375	11	d	d	PROPN
ejpam-6024	375	12	efi	efi	PROPN
ejpam-6024	375	13	n	n	PRON
ejpam-6024	375	14	ed	ed	NOUN
ejpam-6024	375	15	in	in	ADP
ejpam-6024	375	16	t	t	PROPN
ejpam-6024	375	17	a	a	DET
ejpam-6024	375	18	b	b	X
ejpam-6024	375	19	le	le	ADP
ejpam-6024	375	20	1	1	NUM
ejpam-6024	375	21	)	)	PUNCT
ejpam-6024	375	22	β	β	NOUN
ejpam-6024	375	23	=	=	SYM
ejpam-6024	375	24	1	1	NUM
ejpam-6024	375	25	,	,	PUNCT
ejpam-6024	375	26	π	π	NOUN
ejpam-6024	375	27	β	β	X
ejpam-6024	375	28	,	,	PUNCT
ejpam-6024	375	29	n	n	NOUN
ejpam-6024	375	30	=	=	SYM
ejpam-6024	375	31	0	0	NUM
ejpam-6024	375	32	.	.	NOUN
ejpam-6024	375	33	83	83	NUM
ejpam-6024	375	34	0	0	NUM
ejpam-6024	375	35	β	β	X
ejpam-6024	375	36	=	=	SYM
ejpam-6024	375	37	1	1	NUM
ejpam-6024	375	38	.	.	NUM
ejpam-6024	375	39	1	1	NUM
ejpam-6024	375	40	,	,	PUNCT
ejpam-6024	375	41	π	π	NOUN
ejpam-6024	375	42	β	β	X
ejpam-6024	375	43	,	,	PUNCT
ejpam-6024	375	44	n	n	NOUN
ejpam-6024	375	45	=	=	SYM
ejpam-6024	375	46	1	1	NUM
ejpam-6024	375	47	.	.	NOUN
ejpam-6024	375	48	1	1	NUM
ejpam-6024	375	49	2	2	NUM
ejpam-6024	375	50	6	6	NUM
ejpam-6024	375	51	π̂	π̂	PUNCT
ejpam-6024	375	52	(	(	PUNCT
ejpam-6024	375	53	k	k	X
ejpam-6024	375	54	)	)	PUNCT
ejpam-6024	375	55	β	β	PROPN
ejpam-6024	375	56	,	,	PUNCT
ejpam-6024	375	57	k	k	PROPN
ejpam-6024	375	58	,	,	PUNCT
ejpam-6024	375	59	n	n	PROPN
ejpam-6024	375	60	1	1	NUM
ejpam-6024	375	61	.	.	PUNCT
ejpam-6024	375	62	01	01	NUM
ejpam-6024	375	63	0	0	NUM
ejpam-6024	376	1	π̂	π̂	PUNCT
ejpam-6024	376	2	(	(	PUNCT
ejpam-6024	376	3	k	k	NOUN
ejpam-6024	376	4	2	2	NUM
ejpam-6024	376	5	,	,	PUNCT
ejpam-6024	376	6	ρ	ρ	PROPN
ejpam-6024	376	7	)	)	PUNCT
ejpam-6024	376	8	β	β	PROPN
ejpam-6024	376	9	,	,	PUNCT
ejpam-6024	376	10	k	k	PROPN
ejpam-6024	376	11	,	,	PUNCT
ejpam-6024	376	12	n	n	PROPN
ejpam-6024	376	13	1	1	NUM
ejpam-6024	376	14	.	.	NOUN
ejpam-6024	376	15	20	20	NUM
ejpam-6024	376	16	2	2	NUM
ejpam-6024	376	17	π̂	π̂	PUNCT
ejpam-6024	376	18	(	(	PUNCT
ejpam-6024	376	19	k	k	X
ejpam-6024	376	20	l	l	NOUN
ejpam-6024	376	21	,	,	PUNCT
ejpam-6024	376	22	κ	κ	NOUN
ejpam-6024	376	23	)	)	PUNCT
ejpam-6024	376	24	β	β	PROPN
ejpam-6024	376	25	,	,	PUNCT
ejpam-6024	376	26	k	k	PROPN
ejpam-6024	376	27	,	,	PUNCT
ejpam-6024	376	28	n	n	PROPN
ejpam-6024	376	29	0	0	NUM
ejpam-6024	376	30	.	.	PUNCT
ejpam-6024	377	1	65	65	NUM
ejpam-6024	377	2	7	7	NUM
ejpam-6024	377	3	π̃	π̃	PROPN
ejpam-6024	377	4	(	(	PUNCT
ejpam-6024	377	5	k	k	X
ejpam-6024	377	6	∆̂	∆̂	PROPN
ejpam-6024	377	7	∗	∗	NOUN
ejpam-6024	377	8	o	o	X
ejpam-6024	377	9	p	p	PROPN
ejpam-6024	377	10	t	t	PROPN
ejpam-6024	377	11	)	)	PUNCT
ejpam-6024	377	12	β	β	PROPN
ejpam-6024	377	13	,	,	PUNCT
ejpam-6024	377	14	k	k	PROPN
ejpam-6024	377	15	,	,	PUNCT
ejpam-6024	377	16	n	n	PROPN
ejpam-6024	377	17	,	,	PUNCT
ejpam-6024	377	18	ρ̂	ρ̂	NUM
ejpam-6024	377	19	0	0	NUM
ejpam-6024	378	1	.7	.7	NUM
ejpam-6024	378	2	9	9	NUM
ejpam-6024	378	3	1	1	NUM
ejpam-6024	378	4	π̂	π̂	NUM
ejpam-6024	378	5	(	(	PUNCT
ejpam-6024	378	6	k	k	X
ejpam-6024	378	7	)	)	PUNCT
ejpam-6024	378	8	β	β	PROPN
ejpam-6024	378	9	,	,	PUNCT
ejpam-6024	378	10	k	k	PROPN
ejpam-6024	378	11	,	,	PUNCT
ejpam-6024	378	12	n	n	PROPN
ejpam-6024	378	13	1	1	NUM
ejpam-6024	378	14	.4	.4	NUM
ejpam-6024	378	15	0	0	NUM
ejpam-6024	378	16	3	3	NUM
ejpam-6024	378	17	π̂	π̂	PUNCT
ejpam-6024	378	18	(	(	PUNCT
ejpam-6024	378	19	k	k	NOUN
ejpam-6024	378	20	2	2	NUM
ejpam-6024	378	21	,	,	PUNCT
ejpam-6024	378	22	ρ	ρ	PROPN
ejpam-6024	378	23	)	)	PUNCT
ejpam-6024	378	24	β	β	PROPN
ejpam-6024	378	25	,	,	PUNCT
ejpam-6024	378	26	k	k	PROPN
ejpam-6024	378	27	,	,	PUNCT
ejpam-6024	378	28	n	n	PROPN
ejpam-6024	378	29	1	1	NUM
ejpam-6024	378	30	.6	.6	NUM
ejpam-6024	378	31	7	7	NUM
ejpam-6024	378	32	8	8	NUM
ejpam-6024	378	33	π̂	π̂	PUNCT
ejpam-6024	378	34	(	(	PUNCT
ejpam-6024	378	35	k	k	X
ejpam-6024	378	36	l	l	NOUN
ejpam-6024	378	37	,	,	PUNCT
ejpam-6024	378	38	κ	κ	NOUN
ejpam-6024	378	39	)	)	PUNCT
ejpam-6024	378	40	β	β	PROPN
ejpam-6024	378	41	,	,	PUNCT
ejpam-6024	378	42	k	k	PROPN
ejpam-6024	378	43	,	,	PUNCT
ejpam-6024	378	44	n	n	PROPN
ejpam-6024	378	45	0	0	NUM
ejpam-6024	378	46	.8	.8	NUM
ejpam-6024	378	47	7	7	NUM
ejpam-6024	378	48	9	9	NUM
ejpam-6024	378	49	π̃	π̃	PROPN
ejpam-6024	378	50	(	(	PUNCT
ejpam-6024	378	51	k	k	X
ejpam-6024	378	52	∆̂	∆̂	PROPN
ejpam-6024	379	1	∗	∗	NOUN
ejpam-6024	379	2	o	o	X
ejpam-6024	379	3	p	p	PROPN
ejpam-6024	379	4	t	t	PROPN
ejpam-6024	379	5	)	)	PUNCT
ejpam-6024	380	1	β	β	PROPN
ejpam-6024	380	2	,	,	PUNCT
ejpam-6024	380	3	k	k	PROPN
ejpam-6024	380	4	,	,	PUNCT
ejpam-6024	380	5	n	n	PROPN
ejpam-6024	380	6	,	,	PUNCT
ejpam-6024	380	7	ρ̂	ρ̂	NUM
ejpam-6024	380	8	1	1	NUM
ejpam-6024	380	9	.0	.0	NUM
ejpam-6024	380	10	5	5	NUM
ejpam-6024	380	11	4	4	NUM
ejpam-6024	380	12	a	a	DET
ejpam-6024	380	13	b	b	NOUN
ejpam-6024	380	14	ai	ai	NOUN
ejpam-6024	380	15	s	s	NOUN
ejpam-6024	380	16	0	0	NUM
ejpam-6024	380	17	.	.	NOUN
ejpam-6024	380	18	21	21	NUM
ejpam-6024	380	19	6	6	NUM
ejpam-6024	380	20	a	a	DET
ejpam-6024	380	21	b	b	NOUN
ejpam-6024	380	22	ai	ai	NOUN
ejpam-6024	380	23	s	s	NOUN
ejpam-6024	380	24	0	0	NUM
ejpam-6024	380	25	.	.	PROPN
ejpam-6024	380	26	44	44	NUM
ejpam-6024	380	27	7	7	NUM
ejpam-6024	380	28	a	a	DET
ejpam-6024	380	29	b	b	NOUN
ejpam-6024	380	30	ai	ai	NOUN
ejpam-6024	380	31	s	s	NOUN
ejpam-6024	380	32	0	0	NUM
ejpam-6024	380	33	.	.	NOUN
ejpam-6024	380	34	20	20	NUM
ejpam-6024	380	35	8	8	NUM
ejpam-6024	380	36	a	a	DET
ejpam-6024	380	37	b	b	NOUN
ejpam-6024	380	38	a	a	PRON
ejpam-6024	380	39	is	be	AUX
ejpam-6024	380	40	0	0	NUM
ejpam-6024	380	41	.0	.0	NUM
ejpam-6024	380	42	4	4	NUM
ejpam-6024	380	43	7	7	NUM
ejpam-6024	380	44	a	a	DET
ejpam-6024	380	45	b	b	NOUN
ejpam-6024	380	46	a	a	NOUN
ejpam-6024	380	47	is	be	AUX
ejpam-6024	380	48	0	0	NUM
ejpam-6024	380	49	.2	.2	NUM
ejpam-6024	380	50	4	4	NUM
ejpam-6024	380	51	5	5	NUM
ejpam-6024	380	52	a	a	DET
ejpam-6024	380	53	b	b	NOUN
ejpam-6024	380	54	a	a	NOUN
ejpam-6024	380	55	is	be	AUX
ejpam-6024	380	56	0	0	NUM
ejpam-6024	380	57	.4	.4	NUM
ejpam-6024	380	58	8	8	NUM
ejpam-6024	380	59	9	9	NUM
ejpam-6024	380	60	a	a	DET
ejpam-6024	380	61	b	b	NOUN
ejpam-6024	380	62	a	a	NOUN
ejpam-6024	380	63	is	be	AUX
ejpam-6024	380	64	0	0	NUM
ejpam-6024	380	65	.2	.2	NUM
ejpam-6024	380	66	1	1	NUM
ejpam-6024	380	67	8	8	NUM
ejpam-6024	380	68	a	a	DET
ejpam-6024	380	69	b	b	NOUN
ejpam-6024	380	70	a	a	PRON
ejpam-6024	380	71	is	be	AUX
ejpam-6024	380	72	0	0	NUM
ejpam-6024	380	73	.0	.0	NUM
ejpam-6024	380	74	6	6	NUM
ejpam-6024	380	75	4	4	NUM
ejpam-6024	380	76	r	r	NOUN
ejpam-6024	380	77	m	m	NOUN
ejpam-6024	380	78	s	s	NOUN
ejpam-6024	380	79	e	e	NOUN
ejpam-6024	380	80	0	0	NUM
ejpam-6024	380	81	.	.	NOUN
ejpam-6024	380	82	21	21	NUM
ejpam-6024	380	83	6	6	NUM
ejpam-6024	380	84	r	r	NOUN
ejpam-6024	380	85	m	m	NOUN
ejpam-6024	380	86	s	s	NOUN
ejpam-6024	380	87	e	e	NOUN
ejpam-6024	380	88	0	0	NUM
ejpam-6024	380	89	.	.	PROPN
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ejpam-6024	383	14	n	n	PROPN
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ejpam-6024	385	5	n	n	PROPN
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ejpam-6024	385	8	.1	.1	NUM
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ejpam-6024	385	12	-i	-i	PUNCT
ejpam-6024	385	13	n	n	PROPN
ejpam-6024	385	14	f	f	PROPN
ejpam-6024	385	15	0	0	SYM
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ejpam-6024	385	20	-i	-i	PUNCT
ejpam-6024	385	21	n	n	PROPN
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ejpam-6024	385	25	6	6	NUM
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ejpam-6024	385	28	-i	-i	PUNCT
ejpam-6024	385	29	n	n	PROPN
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ejpam-6024	385	35	b	b	X
ejpam-6024	385	36	-i	-i	PUNCT
ejpam-6024	385	37	n	n	PROPN
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ejpam-6024	386	1	.2	.2	NUM
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ejpam-6024	386	5	-s	-s	PUNCT
ejpam-6024	386	6	u	u	NOUN
ejpam-6024	386	7	p	p	PROPN
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ejpam-6024	386	11	8	8	NUM
ejpam-6024	386	12	b	b	X
ejpam-6024	386	13	-s	-s	PUNCT
ejpam-6024	386	14	u	u	NOUN
ejpam-6024	386	15	p	p	PROPN
ejpam-6024	386	16	6	6	NUM
ejpam-6024	386	17	.	.	PUNCT
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ejpam-6024	387	4	-s	-s	PUNCT
ejpam-6024	387	5	u	u	NOUN
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ejpam-6024	387	8	.	.	PUNCT
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ejpam-6024	388	4	-s	-s	PUNCT
ejpam-6024	388	5	u	u	NOUN
ejpam-6024	388	6	p	p	PROPN
ejpam-6024	388	7	0	0	NUM
ejpam-6024	388	8	.8	.8	NUM
ejpam-6024	388	9	1	1	NUM
ejpam-6024	388	10	2	2	NUM
ejpam-6024	388	11	b	b	X
ejpam-6024	388	12	-s	-s	PUNCT
ejpam-6024	388	13	u	u	NOUN
ejpam-6024	388	14	p	p	PROPN
ejpam-6024	388	15	8	8	NUM
ejpam-6024	388	16	.1	.1	NUM
ejpam-6024	388	17	8	8	NUM
ejpam-6024	388	18	0	0	NUM
ejpam-6024	388	19	b	b	X
ejpam-6024	388	20	-s	-s	PUNCT
ejpam-6024	388	21	u	u	NOUN
ejpam-6024	388	22	p	p	PROPN
ejpam-6024	388	23	7	7	NUM
ejpam-6024	388	24	.0	.0	NUM
ejpam-6024	388	25	8	8	NUM
ejpam-6024	388	26	1	1	NUM
ejpam-6024	388	27	b	b	X
ejpam-6024	388	28	-s	-s	PUNCT
ejpam-6024	388	29	u	u	NOUN
ejpam-6024	388	30	p	p	NOUN
ejpam-6024	388	31	1	1	NUM
ejpam-6024	388	32	.3	.3	NUM
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ejpam-6024	388	34	0	0	NUM
ejpam-6024	388	35	b	b	X
ejpam-6024	388	36	-s	-s	PUNCT
ejpam-6024	388	37	u	u	NOUN
ejpam-6024	388	38	p	p	PROPN
ejpam-6024	388	39	1	1	NUM
ejpam-6024	388	40	.1	.1	NUM
ejpam-6024	388	41	2	2	NUM
ejpam-6024	388	42	6	6	NUM
ejpam-6024	388	43	c	c	NOUN
ejpam-6024	388	44	ov	ov	INTJ
ejpam-6024	388	45	er	er	INTJ
ejpam-6024	388	46	6	6	NUM
ejpam-6024	388	47	.	.	NOUN
ejpam-6024	388	48	24	24	NUM
ejpam-6024	388	49	1	1	NUM
ejpam-6024	388	50	c	c	NOUN
ejpam-6024	388	51	ov	ov	INTJ
ejpam-6024	388	52	er	er	INTJ
ejpam-6024	388	53	6	6	NUM
ejpam-6024	388	54	.	.	NOUN
ejpam-6024	388	55	49	49	NUM
ejpam-6024	388	56	8	8	NUM
ejpam-6024	388	57	c	c	NOUN
ejpam-6024	388	58	ov	ov	INTJ
ejpam-6024	388	59	er	er	INTJ
ejpam-6024	388	60	0	0	NUM
ejpam-6024	388	61	.	.	NUM
ejpam-6024	388	62	86	86	NUM
ejpam-6024	388	63	7	7	NUM
ejpam-6024	388	64	c	c	NOUN
ejpam-6024	388	65	ov	ov	INTJ
ejpam-6024	388	66	er	er	INTJ
ejpam-6024	388	67	0	0	NUM
ejpam-6024	388	68	.6	.6	NUM
ejpam-6024	388	69	3	3	NUM
ejpam-6024	388	70	3	3	NUM
ejpam-6024	388	71	c	c	VERB
ejpam-6024	388	72	ov	ov	INTJ
ejpam-6024	388	73	er	er	INTJ
ejpam-6024	388	74	8	8	NUM
ejpam-6024	388	75	.1	.1	NUM
ejpam-6024	388	76	3	3	NUM
ejpam-6024	388	77	4	4	NUM
ejpam-6024	388	78	c	c	NOUN
ejpam-6024	388	79	ov	ov	INTJ
ejpam-6024	388	80	er	er	INTJ
ejpam-6024	388	81	7	7	NUM
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ejpam-6024	388	83	1	1	NUM
ejpam-6024	388	84	3	3	NUM
ejpam-6024	388	85	c	c	VERB
ejpam-6024	388	86	ov	ov	INTJ
ejpam-6024	388	87	er	er	INTJ
ejpam-6024	388	88	1	1	NUM
ejpam-6024	388	89	.1	.1	NUM
ejpam-6024	388	90	9	9	NUM
ejpam-6024	388	91	6	6	NUM
ejpam-6024	388	92	c	c	NOUN
ejpam-6024	388	93	ov	ov	INTJ
ejpam-6024	388	94	er	er	INTJ
ejpam-6024	388	95	0	0	NUM
ejpam-6024	388	96	.8	.8	NUM
ejpam-6024	388	97	3	3	NUM
ejpam-6024	388	98	5	5	NUM
ejpam-6024	388	99	a	a	DET
ejpam-6024	388	100	r	r	NOUN
ejpam-6024	388	101	(	(	PUNCT
ejpam-6024	388	102	1	1	NUM
ejpam-6024	388	103	)	)	PUNCT
ejpam-6024	388	104	m	m	VERB
ejpam-6024	388	105	o	o	X
ejpam-6024	388	106	d	d	X
ejpam-6024	388	107	el	el	PROPN
ejpam-6024	388	108	(	(	PUNCT
ejpam-6024	388	109	d	d	PROPN
ejpam-6024	388	110	efi	efi	PROPN
ejpam-6024	388	111	n	n	PRON
ejpam-6024	388	112	ed	ed	NOUN
ejpam-6024	388	113	in	in	ADP
ejpam-6024	388	114	t	t	PROPN
ejpam-6024	388	115	a	a	DET
ejpam-6024	388	116	b	b	X
ejpam-6024	388	117	le	le	ADP
ejpam-6024	388	118	1	1	NUM
ejpam-6024	388	119	)	)	PUNCT
ejpam-6024	388	120	β	β	NOUN
ejpam-6024	388	121	=	=	SYM
ejpam-6024	388	122	1	1	NUM
ejpam-6024	388	123	,	,	PUNCT
ejpam-6024	388	124	π	π	NOUN
ejpam-6024	388	125	β	β	X
ejpam-6024	388	126	,	,	PUNCT
ejpam-6024	388	127	n	n	PROPN
ejpam-6024	388	128	=	=	SYM
ejpam-6024	388	129	0	0	NUM
ejpam-6024	388	130	.	.	NOUN
ejpam-6024	389	1	91	91	NUM
ejpam-6024	389	2	2	2	NUM
ejpam-6024	389	3	β	β	X
ejpam-6024	389	4	=	=	NOUN
ejpam-6024	389	5	1	1	NUM
ejpam-6024	389	6	.	.	NUM
ejpam-6024	389	7	1	1	NUM
ejpam-6024	389	8	,	,	PUNCT
ejpam-6024	389	9	π	π	NOUN
ejpam-6024	389	10	β	β	X
ejpam-6024	389	11	,	,	PUNCT
ejpam-6024	389	12	n	n	NOUN
ejpam-6024	389	13	=	=	SYM
ejpam-6024	389	14	1	1	NUM
ejpam-6024	389	15	.	.	NOUN
ejpam-6024	389	16	2	2	NUM
ejpam-6024	389	17	5	5	NUM
ejpam-6024	389	18	6	6	NUM
ejpam-6024	389	19	π̂	π̂	PUNCT
ejpam-6024	389	20	(	(	PUNCT
ejpam-6024	389	21	k	k	X
ejpam-6024	389	22	)	)	PUNCT
ejpam-6024	389	23	β	β	PROPN
ejpam-6024	389	24	,	,	PUNCT
ejpam-6024	389	25	k	k	PROPN
ejpam-6024	389	26	,	,	PUNCT
ejpam-6024	389	27	n	n	PROPN
ejpam-6024	389	28	1	1	NUM
ejpam-6024	389	29	.	.	NOUN
ejpam-6024	389	30	03	03	NUM
ejpam-6024	389	31	9	9	NUM
ejpam-6024	389	32	π̂	π̂	PUNCT
ejpam-6024	389	33	(	(	PUNCT
ejpam-6024	389	34	k	k	PROPN
ejpam-6024	389	35	2	2	NUM
ejpam-6024	389	36	,	,	PUNCT
ejpam-6024	389	37	ρ	ρ	PROPN
ejpam-6024	389	38	)	)	PUNCT
ejpam-6024	389	39	β	β	PROPN
ejpam-6024	389	40	,	,	PUNCT
ejpam-6024	389	41	k	k	PROPN
ejpam-6024	389	42	,	,	PUNCT
ejpam-6024	389	43	n	n	PROPN
ejpam-6024	389	44	1	1	NUM
ejpam-6024	389	45	.	.	NOUN
ejpam-6024	389	46	1	1	NUM
ejpam-6024	389	47	.	.	NOUN
ejpam-6024	389	48	20	20	NUM
ejpam-6024	389	49	7	7	NUM
ejpam-6024	389	50	π̂	π̂	PRON
ejpam-6024	389	51	(	(	PUNCT
ejpam-6024	389	52	k	k	X
ejpam-6024	389	53	l	l	NOUN
ejpam-6024	389	54	,	,	PUNCT
ejpam-6024	389	55	κ	κ	NOUN
ejpam-6024	389	56	)	)	PUNCT
ejpam-6024	389	57	β	β	PROPN
ejpam-6024	389	58	,	,	PUNCT
ejpam-6024	389	59	k	k	PROPN
ejpam-6024	389	60	,	,	PUNCT
ejpam-6024	389	61	n	n	PROPN
ejpam-6024	389	62	0	0	NUM
ejpam-6024	389	63	.	.	PUNCT
ejpam-6024	390	1	79	79	NUM
ejpam-6024	390	2	9	9	NUM
ejpam-6024	390	3	π̃	π̃	PROPN
ejpam-6024	390	4	(	(	PUNCT
ejpam-6024	390	5	k	k	X
ejpam-6024	390	6	∆̂	∆̂	PROPN
ejpam-6024	390	7	∗	∗	NOUN
ejpam-6024	390	8	o	o	X
ejpam-6024	390	9	p	p	PROPN
ejpam-6024	390	10	t	t	PROPN
ejpam-6024	390	11	)	)	PUNCT
ejpam-6024	390	12	β	β	PROPN
ejpam-6024	390	13	,	,	PUNCT
ejpam-6024	390	14	k	k	PROPN
ejpam-6024	390	15	,	,	PUNCT
ejpam-6024	390	16	n	n	PROPN
ejpam-6024	390	17	,	,	PUNCT
ejpam-6024	390	18	ρ̂	ρ̂	NUM
ejpam-6024	390	19	0	0	NUM
ejpam-6024	390	20	.8	.8	NUM
ejpam-6024	390	21	6	6	NUM
ejpam-6024	390	22	4	4	NUM
ejpam-6024	390	23	π̂	π̂	NUM
ejpam-6024	390	24	(	(	PUNCT
ejpam-6024	390	25	k	k	X
ejpam-6024	390	26	)	)	PUNCT
ejpam-6024	390	27	β	β	PROPN
ejpam-6024	390	28	,	,	PUNCT
ejpam-6024	390	29	k	k	PROPN
ejpam-6024	390	30	,	,	PUNCT
ejpam-6024	390	31	n	n	PROPN
ejpam-6024	390	32	1	1	NUM
ejpam-6024	390	33	.3	.3	NUM
ejpam-6024	390	34	9	9	NUM
ejpam-6024	390	35	5	5	NUM
ejpam-6024	390	36	π̂	π̂	NUM
ejpam-6024	390	37	(	(	PUNCT
ejpam-6024	390	38	k	k	PROPN
ejpam-6024	390	39	2	2	NUM
ejpam-6024	390	40	,	,	PUNCT
ejpam-6024	390	41	ρ	ρ	PROPN
ejpam-6024	390	42	)	)	PUNCT
ejpam-6024	390	43	β	β	PROPN
ejpam-6024	390	44	,	,	PUNCT
ejpam-6024	390	45	k	k	PROPN
ejpam-6024	390	46	,	,	PUNCT
ejpam-6024	390	47	n	n	PROPN
ejpam-6024	390	48	1	1	NUM
ejpam-6024	390	49	.5	.5	NUM
ejpam-6024	390	50	8	8	NUM
ejpam-6024	390	51	8	8	NUM
ejpam-6024	390	52	π̂	π̂	PUNCT
ejpam-6024	390	53	(	(	PUNCT
ejpam-6024	390	54	k	k	X
ejpam-6024	390	55	l	l	NOUN
ejpam-6024	390	56	,	,	PUNCT
ejpam-6024	390	57	κ	κ	NOUN
ejpam-6024	390	58	)	)	PUNCT
ejpam-6024	390	59	β	β	PROPN
ejpam-6024	390	60	,	,	PUNCT
ejpam-6024	390	61	k	k	PROPN
ejpam-6024	390	62	,	,	PUNCT
ejpam-6024	390	63	n	n	PROPN
ejpam-6024	390	64	0	0	NUM
ejpam-6024	390	65	.9	.9	NUM
ejpam-6024	390	66	8	8	NUM
ejpam-6024	390	67	8	8	NUM
ejpam-6024	390	68	π̃	π̃	PROPN
ejpam-6024	390	69	(	(	PUNCT
ejpam-6024	390	70	k	k	X
ejpam-6024	390	71	∆̂	∆̂	PROPN
ejpam-6024	390	72	∗	∗	NOUN
ejpam-6024	390	73	o	o	X
ejpam-6024	390	74	p	p	PROPN
ejpam-6024	390	75	t	t	PROPN
ejpam-6024	390	76	)	)	PUNCT
ejpam-6024	390	77	β	β	PROPN
ejpam-6024	390	78	,	,	PUNCT
ejpam-6024	390	79	k	k	PROPN
ejpam-6024	390	80	,	,	PUNCT
ejpam-6024	390	81	n	n	PROPN
ejpam-6024	390	82	,	,	PUNCT
ejpam-6024	390	83	ρ̂	ρ̂	NUM
ejpam-6024	390	84	1	1	NUM
ejpam-6024	390	85	.1	.1	NUM
ejpam-6024	390	86	7	7	NUM
ejpam-6024	390	87	2	2	NUM
ejpam-6024	390	88	a	a	DET
ejpam-6024	390	89	b	b	NOUN
ejpam-6024	390	90	ai	ai	NOUN
ejpam-6024	390	91	s	s	NOUN
ejpam-6024	390	92	0	0	NUM
ejpam-6024	390	93	.	.	NOUN
ejpam-6024	390	94	13	13	NUM
ejpam-6024	390	95	9	9	NUM
ejpam-6024	390	96	a	a	DET
ejpam-6024	390	97	b	b	NOUN
ejpam-6024	390	98	ai	ai	NOUN
ejpam-6024	390	99	s	s	NOUN
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ejpam-6024	390	101	.	.	PUNCT
ejpam-6024	390	102	32	32	NUM
ejpam-6024	390	103	4	4	NUM
ejpam-6024	390	104	a	a	DET
ejpam-6024	390	105	b	b	NOUN
ejpam-6024	390	106	ai	ai	NOUN
ejpam-6024	390	107	s	s	NOUN
ejpam-6024	390	108	0	0	NUM
ejpam-6024	390	109	.	.	NOUN
ejpam-6024	390	110	21	21	NUM
ejpam-6024	390	111	8	8	NUM
ejpam-6024	390	112	a	a	DET
ejpam-6024	390	113	b	b	NOUN
ejpam-6024	390	114	a	a	PRON
ejpam-6024	390	115	is	be	AUX
ejpam-6024	390	116	0	0	NUM
ejpam-6024	390	117	.0	.0	NUM
ejpam-6024	390	118	5	5	NUM
ejpam-6024	390	119	1	1	NUM
ejpam-6024	390	120	a	a	DET
ejpam-6024	390	121	b	b	NOUN
ejpam-6024	390	122	a	a	NOUN
ejpam-6024	390	123	is	be	AUX
ejpam-6024	390	124	0	0	NUM
ejpam-6024	390	125	.1	.1	NUM
ejpam-6024	390	126	1	1	NUM
ejpam-6024	390	127	0	0	NUM
ejpam-6024	391	1	a	a	DET
ejpam-6024	391	2	b	b	NOUN
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ejpam-6024	391	4	is	be	AUX
ejpam-6024	391	5	0	0	NUM
ejpam-6024	391	6	.2	.2	NUM
ejpam-6024	391	7	6	6	NUM
ejpam-6024	391	8	3	3	NUM
ejpam-6024	391	9	a	a	DET
ejpam-6024	391	10	b	b	NOUN
ejpam-6024	391	11	a	a	NOUN
ejpam-6024	391	12	is	be	AUX
ejpam-6024	391	13	0	0	NUM
ejpam-6024	391	14	.2	.2	NUM
ejpam-6024	391	15	1	1	NUM
ejpam-6024	391	16	3	3	NUM
ejpam-6024	391	17	a	a	DET
ejpam-6024	391	18	b	b	NOUN
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ejpam-6024	391	20	is	be	AUX
ejpam-6024	391	21	0	0	NUM
ejpam-6024	391	22	.0	.0	NUM
ejpam-6024	391	23	6	6	NUM
ejpam-6024	391	24	7	7	NUM
ejpam-6024	391	25	r	r	NOUN
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ejpam-6024	391	30	.	.	NOUN
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ejpam-6024	392	3	r	r	NOUN
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ejpam-6024	392	5	s	s	NOUN
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ejpam-6024	392	7	0	0	NUM
ejpam-6024	392	8	.	.	PROPN
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ejpam-6024	392	10	4	4	NUM
ejpam-6024	392	11	r	r	NOUN
ejpam-6024	392	12	m	m	NOUN
ejpam-6024	392	13	s	s	NOUN
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ejpam-6024	392	15	0	0	NUM
ejpam-6024	392	16	.	.	PROPN
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ejpam-6024	393	2	0	0	NUM
ejpam-6024	393	3	r	r	NOUN
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ejpam-6024	393	5	s	s	NOUN
ejpam-6024	393	6	e	e	NOUN
ejpam-6024	393	7	0	0	PUNCT
ejpam-6024	393	8	.1	.1	NUM
ejpam-6024	393	9	2	2	NUM
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ejpam-6024	393	11	4	4	NUM
ejpam-6024	393	12	r	r	NOUN
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ejpam-6024	393	14	s	s	NOUN
ejpam-6024	393	15	e	e	NOUN
ejpam-6024	393	16	0	0	PUNCT
ejpam-6024	393	17	.1	.1	NUM
ejpam-6024	393	18	5	5	NUM
ejpam-6024	393	19	7	7	NUM
ejpam-6024	393	20	r	r	NOUN
ejpam-6024	393	21	m	m	NOUN
ejpam-6024	393	22	s	s	NOUN
ejpam-6024	393	23	e	e	NOUN
ejpam-6024	393	24	0	0	NUM
ejpam-6024	393	25	.2	.2	NUM
ejpam-6024	393	26	6	6	NUM
ejpam-6024	393	27	8	8	NUM
ejpam-6024	393	28	r	r	NOUN
ejpam-6024	393	29	m	m	NOUN
ejpam-6024	393	30	s	s	NOUN
ejpam-6024	393	31	e	e	X
ejpam-6024	393	32	0	0	NUM
ejpam-6024	393	33	.3	.3	NUM
ejpam-6024	393	34	1	1	NUM
ejpam-6024	393	35	4	4	NUM
ejpam-6024	393	36	r	r	NOUN
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ejpam-6024	393	38	s	s	NOUN
ejpam-6024	393	39	e	e	NOUN
ejpam-6024	393	40	0	0	PUNCT
ejpam-6024	393	41	.1	.1	NUM
ejpam-6024	393	42	7	7	NUM
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ejpam-6024	393	44	b	b	X
ejpam-6024	393	45	-i	-i	PUNCT
ejpam-6024	393	46	n	n	PROPN
ejpam-6024	393	47	f	f	PROPN
ejpam-6024	393	48	0	0	NUM
ejpam-6024	393	49	.	.	PROPN
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ejpam-6024	393	51	7	7	NUM
ejpam-6024	393	52	b	b	X
ejpam-6024	393	53	-i	-i	PUNCT
ejpam-6024	393	54	n	n	PROPN
ejpam-6024	393	55	f	f	PROPN
ejpam-6024	393	56	0	0	NUM
ejpam-6024	393	57	.	.	PROPN
ejpam-6024	394	1	01	01	NUM
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ejpam-6024	394	3	b	b	X
ejpam-6024	394	4	-i	-i	PUNCT
ejpam-6024	394	5	n	n	PROPN
ejpam-6024	394	6	f	f	PROPN
ejpam-6024	394	7	0	0	NUM
ejpam-6024	394	8	.	.	PROPN
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ejpam-6024	394	12	-i	-i	PUNCT
ejpam-6024	394	13	n	n	PROPN
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ejpam-6024	394	15	0	0	NUM
ejpam-6024	394	16	.2	.2	NUM
ejpam-6024	394	17	8	8	NUM
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ejpam-6024	394	20	-i	-i	PUNCT
ejpam-6024	394	21	n	n	PROPN
ejpam-6024	394	22	f	f	PROPN
ejpam-6024	394	23	0	0	SYM
ejpam-6024	394	24	.0	.0	NUM
ejpam-6024	394	25	2	2	NUM
ejpam-6024	394	26	6	6	NUM
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ejpam-6024	394	28	-i	-i	PUNCT
ejpam-6024	394	29	n	n	PROPN
ejpam-6024	394	30	f	f	PROPN
ejpam-6024	394	31	0	0	SYM
ejpam-6024	394	32	.0	.0	NUM
ejpam-6024	394	33	9	9	NUM
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ejpam-6024	394	36	-i	-i	PUNCT
ejpam-6024	394	37	n	n	PROPN
ejpam-6024	394	38	f	f	PROPN
ejpam-6024	394	39	0	0	SYM
ejpam-6024	394	40	.1	.1	NUM
ejpam-6024	394	41	6	6	NUM
ejpam-6024	394	42	9	9	NUM
ejpam-6024	394	43	b	b	X
ejpam-6024	394	44	-i	-i	PUNCT
ejpam-6024	394	45	n	n	PROPN
ejpam-6024	394	46	f	f	NOUN
ejpam-6024	394	47	0	0	SYM
ejpam-6024	394	48	.4	.4	NUM
ejpam-6024	394	49	2	2	NUM
ejpam-6024	394	50	7	7	NUM
ejpam-6024	394	51	b	b	X
ejpam-6024	394	52	-s	-s	PUNCT
ejpam-6024	394	53	u	u	NOUN
ejpam-6024	394	54	p	p	PROPN
ejpam-6024	394	55	5	5	NUM
ejpam-6024	394	56	.	.	NOUN
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ejpam-6024	394	59	b	b	X
ejpam-6024	394	60	-s	-s	PUNCT
ejpam-6024	394	61	u	u	NOUN
ejpam-6024	394	62	p	p	PROPN
ejpam-6024	394	63	6	6	NUM
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ejpam-6024	394	68	-s	-s	PUNCT
ejpam-6024	394	69	u	u	NOUN
ejpam-6024	394	70	p	p	PROPN
ejpam-6024	394	71	1	1	NUM
ejpam-6024	394	72	.	.	PUNCT
ejpam-6024	394	73	70	70	NUM
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ejpam-6024	394	75	b	b	X
ejpam-6024	394	76	-s	-s	PUNCT
ejpam-6024	394	77	u	u	NOUN
ejpam-6024	394	78	p	p	PROPN
ejpam-6024	394	79	1	1	NUM
ejpam-6024	394	80	.0	.0	NUM
ejpam-6024	394	81	6	6	NUM
ejpam-6024	394	82	2	2	NUM
ejpam-6024	394	83	b	b	X
ejpam-6024	394	84	-s	-s	PUNCT
ejpam-6024	394	85	u	u	NOUN
ejpam-6024	394	86	p	p	PROPN
ejpam-6024	394	87	6	6	NUM
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ejpam-6024	394	89	1	1	NUM
ejpam-6024	394	90	0	0	NUM
ejpam-6024	394	91	b	b	X
ejpam-6024	394	92	-s	-s	PUNCT
ejpam-6024	394	93	u	u	NOUN
ejpam-6024	394	94	p	p	PROPN
ejpam-6024	394	95	7	7	NUM
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ejpam-6024	394	97	4	4	NUM
ejpam-6024	394	98	7	7	NUM
ejpam-6024	394	99	b	b	X
ejpam-6024	394	100	-s	-s	PUNCT
ejpam-6024	394	101	u	u	NOUN
ejpam-6024	394	102	p	p	PROPN
ejpam-6024	394	103	2	2	NUM
ejpam-6024	394	104	.9	.9	NUM
ejpam-6024	394	105	5	5	NUM
ejpam-6024	394	106	7	7	NUM
ejpam-6024	394	107	b	b	X
ejpam-6024	394	108	-s	-s	PUNCT
ejpam-6024	394	109	u	u	NOUN
ejpam-6024	394	110	p	p	NOUN
ejpam-6024	394	111	1	1	NUM
ejpam-6024	394	112	.2	.2	NUM
ejpam-6024	394	113	7	7	NUM
ejpam-6024	394	114	9	9	NUM
ejpam-6024	394	115	c	c	NOUN
ejpam-6024	394	116	ov	ov	INTJ
ejpam-6024	394	117	er	er	INTJ
ejpam-6024	394	118	5	5	NUM
ejpam-6024	394	119	.	.	NUM
ejpam-6024	394	120	05	05	NUM
ejpam-6024	394	121	2	2	NUM
ejpam-6024	394	122	c	c	NOUN
ejpam-6024	394	123	ov	ov	INTJ
ejpam-6024	394	124	er	er	INTJ
ejpam-6024	394	125	6	6	NUM
ejpam-6024	394	126	.	.	NOUN
ejpam-6024	394	127	25	25	NUM
ejpam-6024	394	128	5	5	NUM
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ejpam-6024	394	130	ov	ov	INTJ
ejpam-6024	394	131	er	er	INTJ
ejpam-6024	394	132	1	1	NUM
ejpam-6024	394	133	.	.	X
ejpam-6024	394	134	60	60	NUM
ejpam-6024	394	135	3	3	NUM
ejpam-6024	394	136	c	c	NOUN
ejpam-6024	394	137	ov	ov	INTJ
ejpam-6024	394	138	er	er	INTJ
ejpam-6024	394	139	0	0	NUM
ejpam-6024	394	140	.7	.7	NUM
ejpam-6024	394	141	7	7	NUM
ejpam-6024	394	142	6	6	NUM
ejpam-6024	394	143	c	c	NOUN
ejpam-6024	394	144	ov	ov	INTJ
ejpam-6024	394	145	er	er	INTJ
ejpam-6024	394	146	6	6	NUM
ejpam-6024	394	147	.6	.6	NUM
ejpam-6024	394	148	8	8	NUM
ejpam-6024	394	149	4	4	NUM
ejpam-6024	394	150	c	c	NOUN
ejpam-6024	394	151	ov	ov	INTJ
ejpam-6024	394	152	er	er	INTJ
ejpam-6024	394	153	6	6	NUM
ejpam-6024	394	154	.9	.9	NUM
ejpam-6024	394	155	4	4	NUM
ejpam-6024	394	156	9	9	NUM
ejpam-6024	394	157	c	c	NOUN
ejpam-6024	394	158	ov	ov	INTJ
ejpam-6024	394	159	er	er	INTJ
ejpam-6024	394	160	2	2	NUM
ejpam-6024	394	161	.7	.7	NUM
ejpam-6024	394	162	8	8	NUM
ejpam-6024	394	163	8	8	NUM
ejpam-6024	394	164	c	c	NOUN
ejpam-6024	394	165	ov	ov	INTJ
ejpam-6024	394	166	er	er	INTJ
ejpam-6024	394	167	0	0	NUM
ejpam-6024	394	168	.8	.8	NUM
ejpam-6024	394	169	5	5	NUM
ejpam-6024	394	170	2	2	NUM
ejpam-6024	394	171	m	m	NOUN
ejpam-6024	394	172	a	a	DET
ejpam-6024	394	173	(	(	PUNCT
ejpam-6024	394	174	1	1	NUM
ejpam-6024	394	175	)	)	PUNCT
ejpam-6024	394	176	m	m	VERB
ejpam-6024	394	177	o	o	X
ejpam-6024	395	1	d	d	X
ejpam-6024	395	2	el	el	PROPN
ejpam-6024	395	3	(	(	PUNCT
ejpam-6024	395	4	d	d	PROPN
ejpam-6024	395	5	efi	efi	PROPN
ejpam-6024	395	6	n	n	PRON
ejpam-6024	395	7	ed	ed	NOUN
ejpam-6024	395	8	in	in	ADP
ejpam-6024	395	9	t	t	PROPN
ejpam-6024	395	10	a	a	DET
ejpam-6024	395	11	b	b	X
ejpam-6024	395	12	le	le	ADP
ejpam-6024	395	13	1	1	NUM
ejpam-6024	395	14	)	)	PUNCT
ejpam-6024	396	1	β	β	NOUN
ejpam-6024	396	2	=	=	SYM
ejpam-6024	396	3	1	1	NUM
ejpam-6024	396	4	,	,	PUNCT
ejpam-6024	396	5	π	π	NOUN
ejpam-6024	396	6	β	β	X
ejpam-6024	396	7	,	,	PUNCT
ejpam-6024	396	8	n	n	PROPN
ejpam-6024	396	9	=	=	SYM
ejpam-6024	396	10	0	0	NUM
ejpam-6024	396	11	.	.	PUNCT
ejpam-6024	397	1	87	87	NUM
ejpam-6024	397	2	3	3	NUM
ejpam-6024	397	3	β	β	X
ejpam-6024	397	4	=	=	NOUN
ejpam-6024	397	5	1	1	NUM
ejpam-6024	397	6	.	.	NUM
ejpam-6024	397	7	1	1	NUM
ejpam-6024	397	8	,	,	PUNCT
ejpam-6024	397	9	π	π	NOUN
ejpam-6024	397	10	β	β	X
ejpam-6024	397	11	,	,	PUNCT
ejpam-6024	397	12	n	n	NOUN
ejpam-6024	397	13	=	=	SYM
ejpam-6024	397	14	1	1	NUM
ejpam-6024	397	15	.	.	NOUN
ejpam-6024	397	16	2	2	NUM
ejpam-6024	397	17	7	7	NUM
ejpam-6024	397	18	5	5	NUM
ejpam-6024	397	19	π̂	π̂	NUM
ejpam-6024	397	20	(	(	PUNCT
ejpam-6024	397	21	k	k	X
ejpam-6024	397	22	)	)	PUNCT
ejpam-6024	397	23	β	β	PROPN
ejpam-6024	397	24	,	,	PUNCT
ejpam-6024	397	25	k	k	PROPN
ejpam-6024	397	26	,	,	PUNCT
ejpam-6024	397	27	n	n	PROPN
ejpam-6024	397	28	0	0	NUM
ejpam-6024	397	29	.	.	NOUN
ejpam-6024	397	30	98	98	NUM
ejpam-6024	397	31	9	9	NUM
ejpam-6024	397	32	π̂	π̂	PUNCT
ejpam-6024	397	33	(	(	PUNCT
ejpam-6024	397	34	k	k	PROPN
ejpam-6024	397	35	2	2	NUM
ejpam-6024	397	36	,	,	PUNCT
ejpam-6024	397	37	ρ	ρ	PROPN
ejpam-6024	397	38	)	)	PUNCT
ejpam-6024	397	39	β	β	PROPN
ejpam-6024	397	40	,	,	PUNCT
ejpam-6024	397	41	k	k	PROPN
ejpam-6024	397	42	,	,	PUNCT
ejpam-6024	397	43	n	n	PROPN
ejpam-6024	397	44	1	1	NUM
ejpam-6024	397	45	.	.	NOUN
ejpam-6024	397	46	11	11	NUM
ejpam-6024	397	47	9	9	NUM
ejpam-6024	397	48	π̂	π̂	PUNCT
ejpam-6024	397	49	(	(	PUNCT
ejpam-6024	397	50	k	k	X
ejpam-6024	397	51	l	l	NOUN
ejpam-6024	397	52	,	,	PUNCT
ejpam-6024	397	53	κ	κ	NOUN
ejpam-6024	397	54	)	)	PUNCT
ejpam-6024	397	55	β	β	PROPN
ejpam-6024	397	56	,	,	PUNCT
ejpam-6024	397	57	k	k	PROPN
ejpam-6024	397	58	,	,	PUNCT
ejpam-6024	397	59	n	n	PROPN
ejpam-6024	397	60	0	0	NUM
ejpam-6024	397	61	.	.	PUNCT
ejpam-6024	398	1	70	70	NUM
ejpam-6024	398	2	1	1	NUM
ejpam-6024	398	3	π̃	π̃	PROPN
ejpam-6024	398	4	(	(	PUNCT
ejpam-6024	398	5	k	k	X
ejpam-6024	398	6	∆̂	∆̂	PROPN
ejpam-6024	398	7	∗	∗	NOUN
ejpam-6024	398	8	o	o	X
ejpam-6024	398	9	p	p	PROPN
ejpam-6024	398	10	t	t	PROPN
ejpam-6024	398	11	)	)	PUNCT
ejpam-6024	398	12	β	β	PROPN
ejpam-6024	398	13	,	,	PUNCT
ejpam-6024	398	14	k	k	PROPN
ejpam-6024	398	15	,	,	PUNCT
ejpam-6024	398	16	n	n	PROPN
ejpam-6024	398	17	,	,	PUNCT
ejpam-6024	398	18	ρ̂	ρ̂	NUM
ejpam-6024	398	19	0	0	NUM
ejpam-6024	398	20	.8	.8	NUM
ejpam-6024	398	21	4	4	NUM
ejpam-6024	398	22	3	3	NUM
ejpam-6024	398	23	π̂	π̂	PUNCT
ejpam-6024	398	24	(	(	PUNCT
ejpam-6024	398	25	k	k	X
ejpam-6024	398	26	)	)	PUNCT
ejpam-6024	398	27	β	β	PROPN
ejpam-6024	398	28	,	,	PUNCT
ejpam-6024	398	29	k	k	PROPN
ejpam-6024	398	30	,	,	PUNCT
ejpam-6024	398	31	n	n	PROPN
ejpam-6024	398	32	1	1	NUM
ejpam-6024	398	33	.5	.5	NUM
ejpam-6024	398	34	3	3	NUM
ejpam-6024	398	35	4	4	NUM
ejpam-6024	398	36	π̂	π̂	PUNCT
ejpam-6024	398	37	(	(	PUNCT
ejpam-6024	398	38	k	k	NOUN
ejpam-6024	398	39	2	2	NUM
ejpam-6024	398	40	,	,	PUNCT
ejpam-6024	398	41	ρ	ρ	PROPN
ejpam-6024	398	42	)	)	PUNCT
ejpam-6024	398	43	β	β	PROPN
ejpam-6024	398	44	,	,	PUNCT
ejpam-6024	398	45	k	k	PROPN
ejpam-6024	398	46	,	,	PUNCT
ejpam-6024	398	47	n	n	PROPN
ejpam-6024	398	48	1	1	NUM
ejpam-6024	398	49	.8	.8	NUM
ejpam-6024	398	50	2	2	NUM
ejpam-6024	398	51	6	6	NUM
ejpam-6024	398	52	π̂	π̂	PUNCT
ejpam-6024	398	53	(	(	PUNCT
ejpam-6024	398	54	k	k	X
ejpam-6024	398	55	l	l	NOUN
ejpam-6024	398	56	,	,	PUNCT
ejpam-6024	398	57	κ	κ	NOUN
ejpam-6024	398	58	)	)	PUNCT
ejpam-6024	398	59	β	β	PROPN
ejpam-6024	398	60	,	,	PUNCT
ejpam-6024	398	61	k	k	PROPN
ejpam-6024	398	62	,	,	PUNCT
ejpam-6024	398	63	n	n	PROPN
ejpam-6024	398	64	0	0	NUM
ejpam-6024	398	65	.9	.9	NUM
ejpam-6024	398	66	8	8	NUM
ejpam-6024	398	67	8	8	NUM
ejpam-6024	398	68	π̃	π̃	PROPN
ejpam-6024	398	69	(	(	PUNCT
ejpam-6024	398	70	k	k	X
ejpam-6024	398	71	∆̂	∆̂	PROPN
ejpam-6024	398	72	∗	∗	NOUN
ejpam-6024	398	73	o	o	X
ejpam-6024	398	74	p	p	PROPN
ejpam-6024	398	75	t	t	PROPN
ejpam-6024	398	76	)	)	PUNCT
ejpam-6024	398	77	β	β	PROPN
ejpam-6024	398	78	,	,	PUNCT
ejpam-6024	398	79	k	k	PROPN
ejpam-6024	398	80	,	,	PUNCT
ejpam-6024	398	81	n	n	PROPN
ejpam-6024	398	82	,	,	PUNCT
ejpam-6024	398	83	ρ̂	ρ̂	NUM
ejpam-6024	398	84	1	1	NUM
ejpam-6024	398	85	.1	.1	NUM
ejpam-6024	398	86	9	9	NUM
ejpam-6024	398	87	8	8	NUM
ejpam-6024	398	88	a	a	DET
ejpam-6024	398	89	b	b	NOUN
ejpam-6024	398	90	ai	ai	NOUN
ejpam-6024	398	91	s	s	NOUN
ejpam-6024	398	92	0	0	NUM
ejpam-6024	398	93	.	.	NOUN
ejpam-6024	398	94	13	13	NUM
ejpam-6024	398	95	2	2	NUM
ejpam-6024	398	96	a	a	DET
ejpam-6024	398	97	b	b	NOUN
ejpam-6024	398	98	ai	ai	NOUN
ejpam-6024	398	99	s	s	NOUN
ejpam-6024	398	100	0	0	NUM
ejpam-6024	398	101	.	.	PUNCT
ejpam-6024	398	102	28	28	NUM
ejpam-6024	398	103	1	1	NUM
ejpam-6024	398	104	a	a	DET
ejpam-6024	398	105	b	b	NOUN
ejpam-6024	398	106	ai	ai	NOUN
ejpam-6024	398	107	s	s	NOUN
ejpam-6024	398	108	0	0	NUM
ejpam-6024	398	109	.	.	PROPN
ejpam-6024	398	110	19	19	NUM
ejpam-6024	398	111	7	7	NUM
ejpam-6024	398	112	a	a	DET
ejpam-6024	398	113	b	b	NOUN
ejpam-6024	398	114	a	a	PRON
ejpam-6024	398	115	is	be	AUX
ejpam-6024	398	116	0	0	NUM
ejpam-6024	398	117	.0	.0	NUM
ejpam-6024	398	118	3	3	NUM
ejpam-6024	398	119	4	4	NUM
ejpam-6024	398	120	a	a	DET
ejpam-6024	398	121	b	b	NOUN
ejpam-6024	398	122	a	a	NOUN
ejpam-6024	398	123	is	be	AUX
ejpam-6024	398	124	0	0	NUM
ejpam-6024	398	125	.2	.2	NUM
ejpam-6024	398	126	0	0	NUM
ejpam-6024	398	127	2	2	NUM
ejpam-6024	398	128	a	a	DET
ejpam-6024	398	129	b	b	NOUN
ejpam-6024	398	130	a	a	NOUN
ejpam-6024	398	131	is	be	AUX
ejpam-6024	398	132	0	0	NUM
ejpam-6024	398	133	.4	.4	NUM
ejpam-6024	398	134	3	3	NUM
ejpam-6024	398	135	1	1	NUM
ejpam-6024	398	136	a	a	DET
ejpam-6024	398	137	b	b	NOUN
ejpam-6024	398	138	a	a	NOUN
ejpam-6024	398	139	is	be	AUX
ejpam-6024	398	140	0	0	NUM
ejpam-6024	398	141	.2	.2	NUM
ejpam-6024	398	142	2	2	NUM
ejpam-6024	398	143	4	4	NUM
ejpam-6024	398	144	a	a	DET
ejpam-6024	398	145	b	b	NOUN
ejpam-6024	398	146	a	a	PRON
ejpam-6024	398	147	is	be	AUX
ejpam-6024	398	148	0	0	NUM
ejpam-6024	398	149	.0	.0	NUM
ejpam-6024	398	150	6	6	NUM
ejpam-6024	398	151	0	0	NUM
ejpam-6024	399	1	r	r	NOUN
ejpam-6024	399	2	m	m	NOUN
ejpam-6024	399	3	s	s	NOUN
ejpam-6024	399	4	e	e	NOUN
ejpam-6024	399	5	0	0	NUM
ejpam-6024	399	6	.	.	PUNCT
ejpam-6024	399	7	14	14	NUM
ejpam-6024	399	8	9	9	NUM
ejpam-6024	399	9	r	r	NOUN
ejpam-6024	399	10	m	m	NOUN
ejpam-6024	399	11	s	s	NOUN
ejpam-6024	399	12	e	e	NOUN
ejpam-6024	399	13	0	0	NUM
ejpam-6024	399	14	.	.	PUNCT
ejpam-6024	400	1	28	28	NUM
ejpam-6024	400	2	1	1	NUM
ejpam-6024	400	3	r	r	NOUN
ejpam-6024	400	4	m	m	NOUN
ejpam-6024	400	5	s	s	NOUN
ejpam-6024	400	6	e	e	NOUN
ejpam-6024	400	7	0	0	NUM
ejpam-6024	400	8	.	.	NOUN
ejpam-6024	400	9	27	27	NUM
ejpam-6024	400	10	1	1	NUM
ejpam-6024	400	11	r	r	NOUN
ejpam-6024	400	12	m	m	NOUN
ejpam-6024	400	13	s	s	NOUN
ejpam-6024	400	14	e	e	NOUN
ejpam-6024	400	15	0	0	NUM
ejpam-6024	400	16	.1	.1	NUM
ejpam-6024	400	17	3	3	NUM
ejpam-6024	400	18	4	4	NUM
ejpam-6024	400	19	r	r	NOUN
ejpam-6024	400	20	m	m	NOUN
ejpam-6024	400	21	s	s	NOUN
ejpam-6024	400	22	e	e	NOUN
ejpam-6024	400	23	0	0	NUM
ejpam-6024	401	1	.2	.2	NUM
ejpam-6024	401	2	0	0	NUM
ejpam-6024	401	3	9	9	NUM
ejpam-6024	401	4	r	r	NOUN
ejpam-6024	401	5	m	m	NOUN
ejpam-6024	401	6	s	s	NOUN
ejpam-6024	401	7	e	e	NOUN
ejpam-6024	401	8	0	0	NUM
ejpam-6024	401	9	4	4	NUM
ejpam-6024	401	10	3	3	NUM
ejpam-6024	401	11	1	1	NUM
ejpam-6024	401	12	r	r	NOUN
ejpam-6024	401	13	m	m	NOUN
ejpam-6024	401	14	s	s	NOUN
ejpam-6024	401	15	e	e	X
ejpam-6024	401	16	0	0	NUM
ejpam-6024	401	17	.3	.3	NUM
ejpam-6024	401	18	0	0	NUM
ejpam-6024	401	19	9	9	NUM
ejpam-6024	401	20	r	r	NOUN
ejpam-6024	401	21	m	m	NOUN
ejpam-6024	401	22	s	s	NOUN
ejpam-6024	401	23	e	e	NOUN
ejpam-6024	401	24	0	0	PUNCT
ejpam-6024	401	25	.1	.1	NUM
ejpam-6024	401	26	7	7	NUM
ejpam-6024	401	27	0	0	SYM
ejpam-6024	401	28	b	b	X
ejpam-6024	401	29	-i	-i	PUNCT
ejpam-6024	401	30	n	n	PROPN
ejpam-6024	401	31	f	f	PROPN
ejpam-6024	401	32	0	0	NUM
ejpam-6024	401	33	.	.	PROPN
ejpam-6024	401	34	17	17	NUM
ejpam-6024	401	35	8	8	NUM
ejpam-6024	401	36	b	b	X
ejpam-6024	401	37	-i	-i	PUNCT
ejpam-6024	401	38	n	n	PROPN
ejpam-6024	401	39	f	f	PROPN
ejpam-6024	401	40	0	0	NUM
ejpam-6024	401	41	.	.	NOUN
ejpam-6024	401	42	24	24	NUM
ejpam-6024	401	43	1	1	NUM
ejpam-6024	401	44	b	b	X
ejpam-6024	401	45	-i	-i	PUNCT
ejpam-6024	401	46	n	n	PROPN
ejpam-6024	401	47	f	f	PROPN
ejpam-6024	401	48	0	0	NUM
ejpam-6024	401	49	.	.	PROPN
ejpam-6024	401	50	31	31	NUM
ejpam-6024	401	51	2	2	NUM
ejpam-6024	401	52	b	b	X
ejpam-6024	401	53	-i	-i	PUNCT
ejpam-6024	401	54	n	n	PROPN
ejpam-6024	401	55	f	f	PROPN
ejpam-6024	401	56	0	0	NUM
ejpam-6024	401	57	.1	.1	NUM
ejpam-6024	401	58	8	8	NUM
ejpam-6024	401	59	0	0	NUM
ejpam-6024	401	60	b	b	X
ejpam-6024	401	61	-i	-i	PUNCT
ejpam-6024	401	62	n	n	PROPN
ejpam-6024	401	63	f	f	NOUN
ejpam-6024	401	64	0	0	NUM
ejpam-6024	401	65	.2	.2	NUM
ejpam-6024	401	66	5	5	NUM
ejpam-6024	401	67	3	3	NUM
ejpam-6024	401	68	b	b	X
ejpam-6024	401	69	-i	-i	PUNCT
ejpam-6024	401	70	n	n	PROPN
ejpam-6024	401	71	f	f	PROPN
ejpam-6024	401	72	0	0	NUM
ejpam-6024	401	73	.3	.3	NUM
ejpam-6024	401	74	2	2	NUM
ejpam-6024	401	75	8	8	NUM
ejpam-6024	401	76	b	b	X
ejpam-6024	401	77	-i	-i	PUNCT
ejpam-6024	401	78	n	n	PROPN
ejpam-6024	401	79	f	f	PROPN
ejpam-6024	401	80	0	0	NUM
ejpam-6024	401	81	.1	.1	NUM
ejpam-6024	401	82	5	5	NUM
ejpam-6024	401	83	0	0	SYM
ejpam-6024	401	84	b	b	X
ejpam-6024	401	85	-i	-i	PUNCT
ejpam-6024	401	86	n	n	PROPN
ejpam-6024	401	87	f	f	PROPN
ejpam-6024	401	88	0	0	NUM
ejpam-6024	401	89	.3	.3	NUM
ejpam-6024	401	90	9	9	NUM
ejpam-6024	401	91	1	1	NUM
ejpam-6024	401	92	b	b	X
ejpam-6024	401	93	-s	-s	PUNCT
ejpam-6024	401	94	u	u	NOUN
ejpam-6024	401	95	p	p	PROPN
ejpam-6024	401	96	5	5	NUM
ejpam-6024	401	97	.	.	NOUN
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ejpam-6024	401	99	0	0	NUM
ejpam-6024	401	100	b	b	X
ejpam-6024	401	101	-s	-s	PUNCT
ejpam-6024	401	102	u	u	NOUN
ejpam-6024	401	103	p	p	PROPN
ejpam-6024	401	104	6	6	NUM
ejpam-6024	401	105	.	.	NOUN
ejpam-6024	401	106	57	57	NUM
ejpam-6024	401	107	1	1	NUM
ejpam-6024	401	108	b	b	X
ejpam-6024	401	109	-s	-s	PUNCT
ejpam-6024	401	110	u	u	NOUN
ejpam-6024	401	111	p	p	PROPN
ejpam-6024	401	112	2	2	NUM
ejpam-6024	401	113	.	.	PUNCT
ejpam-6024	401	114	57	57	NUM
ejpam-6024	401	115	4	4	NUM
ejpam-6024	401	116	b	b	X
ejpam-6024	401	117	-s	-s	PUNCT
ejpam-6024	401	118	u	u	NOUN
ejpam-6024	401	119	p	p	NOUN
ejpam-6024	401	120	0	0	NUM
ejpam-6024	401	121	.9	.9	NUM
ejpam-6024	401	122	9	9	NUM
ejpam-6024	401	123	8	8	NUM
ejpam-6024	401	124	b	b	X
ejpam-6024	401	125	-s	-s	PUNCT
ejpam-6024	401	126	u	u	NOUN
ejpam-6024	401	127	p	p	PROPN
ejpam-6024	401	128	7	7	NUM
ejpam-6024	401	129	.1	.1	NUM
ejpam-6024	401	130	6	6	NUM
ejpam-6024	401	131	3	3	NUM
ejpam-6024	401	132	2	2	NUM
ejpam-6024	401	133	b	b	X
ejpam-6024	401	134	-s	-s	PUNCT
ejpam-6024	401	135	u	u	NOUN
ejpam-6024	401	136	p	p	VERB
ejpam-6024	401	137	7	7	NUM
ejpam-6024	401	138	.2	.2	NUM
ejpam-6024	401	139	4	4	NUM
ejpam-6024	401	140	3	3	NUM
ejpam-6024	401	141	6	6	NUM
ejpam-6024	401	142	b	b	X
ejpam-6024	401	143	-s	-s	PUNCT
ejpam-6024	401	144	u	u	NOUN
ejpam-6024	401	145	p	p	PROPN
ejpam-6024	401	146	2	2	NUM
ejpam-6024	401	147	.0	.0	NUM
ejpam-6024	401	148	8	8	NUM
ejpam-6024	401	149	7	7	NUM
ejpam-6024	401	150	b	b	X
ejpam-6024	401	151	-s	-s	PUNCT
ejpam-6024	401	152	u	u	NOUN
ejpam-6024	401	153	p	p	NOUN
ejpam-6024	401	154	1	1	NUM
ejpam-6024	401	155	.2	.2	NUM
ejpam-6024	401	156	8	8	NUM
ejpam-6024	401	157	0	0	PUNCT
ejpam-6024	401	158	c	c	NOUN
ejpam-6024	401	159	ov	ov	INTJ
ejpam-6024	401	160	er	er	INTJ
ejpam-6024	401	161	5	5	NUM
ejpam-6024	401	162	.	.	PUNCT
ejpam-6024	401	163	00	00	NUM
ejpam-6024	401	164	2	2	NUM
ejpam-6024	401	165	c	c	NOUN
ejpam-6024	401	166	ov	ov	INTJ
ejpam-6024	401	167	er	er	INTJ
ejpam-6024	401	168	6	6	NUM
ejpam-6024	401	169	.	.	PUNCT
ejpam-6024	401	170	33	33	NUM
ejpam-6024	401	171	0	0	NUM
ejpam-6024	402	1	c	c	VERB
ejpam-6024	402	2	ov	ov	INTJ
ejpam-6024	402	3	er	er	INTJ
ejpam-6024	402	4	2	2	NUM
ejpam-6024	402	5	.	.	NOUN
ejpam-6024	402	6	26	26	NUM
ejpam-6024	402	7	2	2	NUM
ejpam-6024	403	1	c	c	NOUN
ejpam-6024	403	2	ov	ov	INTJ
ejpam-6024	403	3	er	er	INTJ
ejpam-6024	403	4	0	0	NUM
ejpam-6024	403	5	.8	.8	NUM
ejpam-6024	403	6	1	1	NUM
ejpam-6024	403	7	8	8	NUM
ejpam-6024	403	8	c	c	NOUN
ejpam-6024	403	9	ov	ov	INTJ
ejpam-6024	403	10	er	er	INTJ
ejpam-6024	403	11	6	6	NUM
ejpam-6024	403	12	.9	.9	NUM
ejpam-6024	403	13	1	1	NUM
ejpam-6024	403	14	0	0	PUNCT
ejpam-6024	403	15	c	c	VERB
ejpam-6024	403	16	ov	ov	INTJ
ejpam-6024	403	17	er	er	INTJ
ejpam-6024	403	18	6	6	NUM
ejpam-6024	403	19	.9	.9	NUM
ejpam-6024	403	20	1	1	NUM
ejpam-6024	403	21	5	5	NUM
ejpam-6024	404	1	c	c	NOUN
ejpam-6024	404	2	ov	ov	INTJ
ejpam-6024	404	3	er	er	INTJ
ejpam-6024	404	4	1	1	NUM
ejpam-6024	404	5	.9	.9	NUM
ejpam-6024	404	6	3	3	NUM
ejpam-6024	404	7	7	7	NUM
ejpam-6024	404	8	c	c	NOUN
ejpam-6024	404	9	ov	ov	INTJ
ejpam-6024	404	10	er	er	INTJ
ejpam-6024	404	11	.	.	PUNCT
ejpam-6024	404	12	0	0	NUM
ejpam-6024	405	1	.8	.8	NUM
ejpam-6024	405	2	8	8	NUM
ejpam-6024	405	3	9	9	NUM
ejpam-6024	405	4	table	table	NOUN
ejpam-6024	405	5	2	2	NUM
ejpam-6024	405	6	:	:	PUNCT
ejpam-6024	405	7	estimation	estimation	NOUN
ejpam-6024	405	8	results	result	NOUN
ejpam-6024	405	9	of	of	ADP
ejpam-6024	405	10	π̂	π̂	X
ejpam-6024	405	11	(	(	PUNCT
ejpam-6024	405	12	k	k	NOUN
ejpam-6024	405	13	)	)	PUNCT
ejpam-6024	405	14	β	β	NOUN
ejpam-6024	405	15	,	,	PUNCT
ejpam-6024	405	16	k	k	NOUN
ejpam-6024	405	17	,	,	PUNCT
ejpam-6024	405	18	n	n	CCONJ
ejpam-6024	405	19	,	,	PUNCT
ejpam-6024	405	20	π̂	π̂	PUNCT
ejpam-6024	405	21	(	(	PUNCT
ejpam-6024	405	22	k2,ρ	k2,ρ	PROPN
ejpam-6024	405	23	)	)	PUNCT
ejpam-6024	405	24	β	β	NOUN
ejpam-6024	405	25	,	,	PUNCT
ejpam-6024	405	26	k	k	NOUN
ejpam-6024	405	27	,	,	PUNCT
ejpam-6024	405	28	n	n	X
ejpam-6024	405	29	,	,	PUNCT
ejpam-6024	405	30	π̂	π̂	PUNCT
ejpam-6024	405	31	(	(	PUNCT
ejpam-6024	405	32	kl	kl	X
ejpam-6024	405	33	,	,	PUNCT
ejpam-6024	405	34	κ	κ	NOUN
ejpam-6024	405	35	)	)	PUNCT
ejpam-6024	405	36	β	β	NOUN
ejpam-6024	405	37	,	,	PUNCT
ejpam-6024	405	38	k	k	NOUN
ejpam-6024	405	39	,	,	PUNCT
ejpam-6024	405	40	n	n	PROPN
ejpam-6024	405	41	and	and	CCONJ
ejpam-6024	405	42	π̃	π̃	PROPN
ejpam-6024	405	43	(	(	PUNCT
ejpam-6024	405	44	k	k	PROPN
ejpam-6024	405	45	∆̂∗	∆̂∗	PROPN
ejpam-6024	405	46	opt	opt	PROPN
ejpam-6024	405	47	)	)	PUNCT
ejpam-6024	405	48	β	β	X
ejpam-6024	405	49	,	,	PUNCT
ejpam-6024	405	50	k	k	NOUN
ejpam-6024	405	51	,	,	PUNCT
ejpam-6024	405	52	n	n	CCONJ
ejpam-6024	405	53	,	,	PUNCT
ejpam-6024	405	54	ρ̂	ρ̂	NUM
ejpam-6024	405	55	estimators	estimator	NOUN
ejpam-6024	405	56	of	of	ADP
ejpam-6024	405	57	the	the	DET
ejpam-6024	405	58	true	true	ADJ
ejpam-6024	405	59	distortion	distortion	NOUN
ejpam-6024	405	60	premium	premium	NOUN
ejpam-6024	405	61	πβ	πβ	NOUN
ejpam-6024	405	62	,	,	PUNCT
ejpam-6024	405	63	n	n	PROPN
ejpam-6024	405	64	:	:	PUNCT
ejpam-6024	405	65	=	=	SYM
ejpam-6024	405	66	πβ(q(1−k∗/n	πβ(q(1−k∗/n	ADJ
ejpam-6024	405	67	)	)	PUNCT
ejpam-6024	405	68	)	)	PUNCT
ejpam-6024	405	69	for	for	ADP
ejpam-6024	405	70	β	β	X
ejpam-6024	405	71	=	=	SYM
ejpam-6024	405	72	1	1	NUM
ejpam-6024	405	73	;	;	PUNCT
ejpam-6024	405	74	1.1	1.1	NUM
ejpam-6024	405	75	and	and	CCONJ
ejpam-6024	405	76	with	with	ADP
ejpam-6024	405	77	their	their	PRON
ejpam-6024	405	78	95	95	NUM
ejpam-6024	405	79	%	%	NOUN
ejpam-6024	405	80	confidence	confidence	NOUN
ejpam-6024	405	81	intervals	interval	NOUN
ejpam-6024	405	82	,	,	PUNCT
ejpam-6024	405	83	computed	compute	VERB
ejpam-6024	405	84	with	with	ADP
ejpam-6024	405	85	their	their	PRON
ejpam-6024	405	86	associated	associated	ADJ
ejpam-6024	405	87	optimal	optimal	ADJ
ejpam-6024	405	88	numbers	number	NOUN
ejpam-6024	405	89	of	of	ADP
ejpam-6024	405	90	top	top	ADJ
ejpam-6024	405	91	statistics	statistic	NOUN
ejpam-6024	405	92	k∗	k∗	PROPN
ejpam-6024	405	93	,	,	PUNCT
ejpam-6024	405	94	based	base	VERB
ejpam-6024	405	95	on	on	ADP
ejpam-6024	405	96	n	n	NOUN
ejpam-6024	405	97	=	=	SYM
ejpam-6024	405	98	1000	1000	NUM
ejpam-6024	405	99	samples	sample	NOUN
ejpam-6024	405	100	of	of	ADP
ejpam-6024	405	101	size	size	NOUN
ejpam-6024	405	102	n	n	NOUN
ejpam-6024	405	103	=	=	SYM
ejpam-6024	405	104	1000	1000	NUM
ejpam-6024	405	105	,	,	PUNCT
ejpam-6024	405	106	from	from	ADP
ejpam-6024	405	107	the	the	DET
ejpam-6024	405	108	different	different	ADJ
ejpam-6024	405	109	three	three	NUM
ejpam-6024	405	110	(	(	PUNCT
ejpam-6024	405	111	03	03	NUM
ejpam-6024	405	112	)	)	PUNCT
ejpam-6024	405	113	models	model	NOUN
ejpam-6024	405	114	listed	list	VERB
ejpam-6024	405	115	in	in	ADP
ejpam-6024	405	116	table	table	NOUN
ejpam-6024	405	117	1	1	NUM
ejpam-6024	405	118	.	.	PUNCT
ejpam-6024	405	119	a.	a.	NOUN
ejpam-6024	405	120	aghrabatt	aghrabatt	PROPN
ejpam-6024	405	121	et	et	PROPN
ejpam-6024	405	122	al	al	PROPN
ejpam-6024	405	123	.	.	PUNCT
ejpam-6024	405	124	/	/	SYM
ejpam-6024	405	125	eur	eur	PROPN
ejpam-6024	405	126	.	.	PUNCT
ejpam-6024	406	1	j.	j.	PROPN
ejpam-6024	406	2	pure	pure	PROPN
ejpam-6024	406	3	appl	appl	PROPN
ejpam-6024	406	4	.	.	PROPN
ejpam-6024	406	5	math	math	PROPN
ejpam-6024	406	6	,	,	PUNCT
ejpam-6024	406	7	18	18	NUM
ejpam-6024	406	8	(	(	PUNCT
ejpam-6024	406	9	2	2	NUM
ejpam-6024	406	10	)	)	PUNCT
ejpam-6024	406	11	(	(	PUNCT
ejpam-6024	406	12	2025	2025	NUM
ejpam-6024	406	13	)	)	PUNCT
ejpam-6024	406	14	,	,	PUNCT
ejpam-6024	406	15	6024	6024	NUM
ejpam-6024	406	16	20	20	NUM
ejpam-6024	406	17	of	of	ADP
ejpam-6024	406	18	25	25	NUM
ejpam-6024	406	19	5	5	NUM
ejpam-6024	406	20	.	.	PUNCT
ejpam-6024	406	21	conclusion	conclusion	NOUN
ejpam-6024	406	22	in	in	ADP
ejpam-6024	406	23	this	this	DET
ejpam-6024	406	24	paper	paper	NOUN
ejpam-6024	407	1	,	,	PUNCT
ejpam-6024	407	2	we	we	PRON
ejpam-6024	407	3	introduced	introduce	VERB
ejpam-6024	407	4	a	a	DET
ejpam-6024	407	5	large	large	ADJ
ejpam-6024	407	6	class	class	NOUN
ejpam-6024	407	7	of	of	ADP
ejpam-6024	407	8	asymptotically	asymptotically	ADV
ejpam-6024	407	9	normal	normal	ADJ
ejpam-6024	407	10	estimators	estimator	NOUN
ejpam-6024	407	11	of	of	ADP
ejpam-6024	407	12	the	the	DET
ejpam-6024	407	13	distortion	distortion	NOUN
ejpam-6024	407	14	risk	risk	NOUN
ejpam-6024	407	15	measures	measure	NOUN
ejpam-6024	407	16	at	at	ADP
ejpam-6024	407	17	the	the	DET
ejpam-6024	407	18	optimal	optimal	ADJ
ejpam-6024	407	19	retention	retention	NOUN
ejpam-6024	407	20	level	level	NOUN
ejpam-6024	407	21	for	for	ADP
ejpam-6024	407	22	stationary	stationary	ADJ
ejpam-6024	407	23	insured	insured	ADJ
ejpam-6024	407	24	risks	risk	NOUN
ejpam-6024	407	25	with	with	ADP
ejpam-6024	407	26	heavy	heavy	ADJ
ejpam-6024	407	27	-	-	PUNCT
ejpam-6024	407	28	tailed	tail	VERB
ejpam-6024	407	29	marginals	marginal	NOUN
ejpam-6024	407	30	.	.	PUNCT
ejpam-6024	408	1	from	from	ADP
ejpam-6024	408	2	that	that	DET
ejpam-6024	408	3	class	class	NOUN
ejpam-6024	408	4	,	,	PUNCT
ejpam-6024	408	5	we	we	PRON
ejpam-6024	408	6	derived	derive	VERB
ejpam-6024	408	7	a	a	DET
ejpam-6024	408	8	bias	bias	NOUN
ejpam-6024	408	9	reduction	reduction	NOUN
ejpam-6024	408	10	procedure	procedure	NOUN
ejpam-6024	408	11	and	and	CCONJ
ejpam-6024	408	12	we	we	PRON
ejpam-6024	408	13	proposed	propose	VERB
ejpam-6024	408	14	an	an	DET
ejpam-6024	408	15	unbiased	unbiased	ADJ
ejpam-6024	408	16	estimator	estimator	NOUN
ejpam-6024	408	17	of	of	ADP
ejpam-6024	408	18	the	the	DET
ejpam-6024	408	19	distortion	distortion	NOUN
ejpam-6024	408	20	risk	risk	NOUN
ejpam-6024	408	21	measures	measure	NOUN
ejpam-6024	408	22	.	.	PUNCT
ejpam-6024	409	1	comparing	compare	VERB
ejpam-6024	409	2	the	the	DET
ejpam-6024	409	3	bias	bias	NOUN
ejpam-6024	409	4	reduction	reduction	NOUN
ejpam-6024	409	5	procedure	procedure	NOUN
ejpam-6024	409	6	to	to	ADP
ejpam-6024	409	7	the	the	DET
ejpam-6024	409	8	alternative	alternative	ADJ
ejpam-6024	409	9	estimators	estimator	NOUN
ejpam-6024	409	10	,	,	PUNCT
ejpam-6024	409	11	our	our	PRON
ejpam-6024	409	12	unbiased	unbiased	ADJ
ejpam-6024	409	13	estimator	estimator	NOUN
ejpam-6024	409	14	provides	provide	VERB
ejpam-6024	409	15	,	,	PUNCT
ejpam-6024	409	16	in	in	ADP
ejpam-6024	409	17	addition	addition	NOUN
ejpam-6024	409	18	to	to	ADP
ejpam-6024	409	19	lower	low	ADJ
ejpam-6024	409	20	absolute	absolute	ADJ
ejpam-6024	409	21	bias	bias	NOUN
ejpam-6024	409	22	and	and	CCONJ
ejpam-6024	409	23	mean	mean	VERB
ejpam-6024	409	24	squared	square	VERB
ejpam-6024	409	25	error	error	NOUN
ejpam-6024	409	26	in	in	ADP
ejpam-6024	409	27	general	general	ADJ
ejpam-6024	409	28	,	,	PUNCT
ejpam-6024	409	29	more	more	ADJ
ejpam-6024	409	30	stability	stability	NOUN
ejpam-6024	409	31	over	over	ADP
ejpam-6024	409	32	the	the	DET
ejpam-6024	409	33	number	number	NOUN
ejpam-6024	409	34	of	of	ADP
ejpam-6024	409	35	top	top	ADJ
ejpam-6024	409	36	statistics	statistic	NOUN
ejpam-6024	410	1	k	k	NOUN
ejpam-6024	410	2	,	,	PUNCT
ejpam-6024	410	3	especially	especially	ADV
ejpam-6024	410	4	when	when	SCONJ
ejpam-6024	410	5	bias	bias	NOUN
ejpam-6024	410	6	of	of	ADP
ejpam-6024	410	7	the	the	DET
ejpam-6024	410	8	alternative	alternative	ADJ
ejpam-6024	410	9	estimators	estimator	NOUN
ejpam-6024	410	10	are	be	AUX
ejpam-6024	410	11	strong	strong	ADJ
ejpam-6024	410	12	.	.	PUNCT
ejpam-6024	411	1	the	the	DET
ejpam-6024	411	2	comparison	comparison	NOUN
ejpam-6024	411	3	are	be	AUX
ejpam-6024	411	4	also	also	ADV
ejpam-6024	411	5	made	make	VERB
ejpam-6024	411	6	at	at	ADP
ejpam-6024	411	7	their	their	PRON
ejpam-6024	411	8	optimal	optimal	ADJ
ejpam-6024	411	9	point	point	NOUN
ejpam-6024	411	10	of	of	ADP
ejpam-6024	411	11	top	top	ADJ
ejpam-6024	411	12	statistics	statistic	NOUN
ejpam-6024	411	13	and	and	CCONJ
ejpam-6024	411	14	with	with	ADP
ejpam-6024	411	15	their	their	PRON
ejpam-6024	411	16	95	95	NUM
ejpam-6024	411	17	%	%	NOUN
ejpam-6024	411	18	confidence	confidence	NOUN
ejpam-6024	411	19	intervals	interval	NOUN
ejpam-6024	411	20	,	,	PUNCT
ejpam-6024	411	21	constructed	construct	VERB
ejpam-6024	411	22	from	from	ADP
ejpam-6024	411	23	a	a	DET
ejpam-6024	411	24	bootstrap	bootstrap	NOUN
ejpam-6024	411	25	methodology	methodology	NOUN
ejpam-6024	411	26	.	.	PUNCT
ejpam-6024	412	1	the	the	DET
ejpam-6024	412	2	results	result	NOUN
ejpam-6024	412	3	show	show	VERB
ejpam-6024	412	4	that	that	SCONJ
ejpam-6024	412	5	,	,	PUNCT
ejpam-6024	412	6	the	the	DET
ejpam-6024	412	7	reduced	reduce	VERB
ejpam-6024	412	8	bias	bias	NOUN
ejpam-6024	412	9	estimator	estimator	NOUN
ejpam-6024	412	10	is	be	AUX
ejpam-6024	412	11	more	more	ADV
ejpam-6024	412	12	efficient	efficient	ADJ
ejpam-6024	412	13	than	than	ADP
ejpam-6024	412	14	alternative	alternative	ADJ
ejpam-6024	412	15	estimators	estimator	NOUN
ejpam-6024	412	16	regardless	regardless	ADV
ejpam-6024	412	17	to	to	ADP
ejpam-6024	412	18	the	the	DET
ejpam-6024	412	19	absolute	absolute	ADJ
ejpam-6024	412	20	bias	bias	NOUN
ejpam-6024	412	21	,	,	PUNCT
ejpam-6024	412	22	the	the	DET
ejpam-6024	412	23	medan	medan	PROPN
ejpam-6024	412	24	squared	square	VERB
ejpam-6024	412	25	errors	error	NOUN
ejpam-6024	412	26	and	and	CCONJ
ejpam-6024	412	27	the	the	DET
ejpam-6024	412	28	coverage	coverage	NOUN
ejpam-6024	412	29	.	.	PUNCT
ejpam-6024	413	1	an	an	DET
ejpam-6024	413	2	important	important	ADJ
ejpam-6024	413	3	feature	feature	NOUN
ejpam-6024	413	4	expected	expect	VERB
ejpam-6024	413	5	in	in	ADP
ejpam-6024	413	6	this	this	DET
ejpam-6024	413	7	type	type	NOUN
ejpam-6024	413	8	of	of	ADP
ejpam-6024	413	9	of	of	ADP
ejpam-6024	413	10	bias	bias	NOUN
ejpam-6024	413	11	reduction	reduction	NOUN
ejpam-6024	413	12	approach	approach	NOUN
ejpam-6024	413	13	to	to	PART
ejpam-6024	413	14	be	be	AUX
ejpam-6024	413	15	used	use	VERB
ejpam-6024	413	16	in	in	ADP
ejpam-6024	413	17	practice	practice	NOUN
ejpam-6024	413	18	.	.	PUNCT
ejpam-6024	414	1	in	in	ADP
ejpam-6024	414	2	reinsurance	reinsurance	NOUN
ejpam-6024	414	3	application	application	NOUN
ejpam-6024	414	4	,	,	PUNCT
ejpam-6024	414	5	the	the	DET
ejpam-6024	414	6	unbiased	unbiased	ADJ
ejpam-6024	414	7	estimator	estimator	NOUN
ejpam-6024	414	8	can	can	AUX
ejpam-6024	414	9	be	be	AUX
ejpam-6024	414	10	proposed	propose	VERB
ejpam-6024	414	11	to	to	ADP
ejpam-6024	414	12	any	any	DET
ejpam-6024	414	13	dependence	dependence	NOUN
ejpam-6024	414	14	heavy	heavy	ADV
ejpam-6024	414	15	-	-	PUNCT
ejpam-6024	414	16	tailed	tail	VERB
ejpam-6024	414	17	loses	lose	VERB
ejpam-6024	414	18	for	for	SCONJ
ejpam-6024	414	19	which	which	DET
ejpam-6024	414	20	distortion	distortion	NOUN
ejpam-6024	414	21	risk	risk	NOUN
ejpam-6024	414	22	premiums	premium	NOUN
ejpam-6024	414	23	need	need	VERB
ejpam-6024	414	24	to	to	PART
ejpam-6024	414	25	be	be	AUX
ejpam-6024	414	26	calculated	calculate	VERB
ejpam-6024	414	27	.	.	PUNCT
ejpam-6024	415	1	6	6	X
ejpam-6024	415	2	.	.	X
ejpam-6024	415	3	proofs	proof	NOUN
ejpam-6024	415	4	of	of	ADP
ejpam-6024	415	5	the	the	DET
ejpam-6024	415	6	results	result	NOUN
ejpam-6024	415	7	proof	proof	NOUN
ejpam-6024	415	8	of	of	ADP
ejpam-6024	415	9	theorem	theorem	NOUN
ejpam-6024	415	10	1	1	NUM
ejpam-6024	415	11	.	.	X
ejpam-6024	415	12	recall	recall	VERB
ejpam-6024	415	13	that	that	PRON
ejpam-6024	415	14	πβ	πβ	ADP
ejpam-6024	415	15	,	,	PUNCT
ejpam-6024	415	16	n	n	PROPN
ejpam-6024	415	17	:	:	PUNCT
ejpam-6024	415	18	=	=	PUNCT
ejpam-6024	415	19	πgβ	πgβ	NOUN
ejpam-6024	415	20	(	(	PUNCT
ejpam-6024	415	21	q(1−	q(1−	NUM
ejpam-6024	415	22	k	k	NOUN
ejpam-6024	415	23	/	/	SYM
ejpam-6024	415	24	n	n	CCONJ
ejpam-6024	415	25	)	)	PUNCT
ejpam-6024	415	26	)	)	PUNCT
ejpam-6024	416	1	=	=	SYM
ejpam-6024	417	1	∫	∫	PROPN
ejpam-6024	417	2	∞	∞	NUM
ejpam-6024	417	3	q(1−k	q(1−k	PROPN
ejpam-6024	417	4	/	/	SYM
ejpam-6024	417	5	n	n	CCONJ
ejpam-6024	417	6	)	)	PUNCT
ejpam-6024	417	7	gβ(f	gβ(f	PUNCT
ejpam-6024	417	8	(	(	PUNCT
ejpam-6024	417	9	x))dx	x))dx	ADJ
ejpam-6024	417	10	and	and	CCONJ
ejpam-6024	417	11	π̂	π̂	NUM
ejpam-6024	417	12	(	(	PUNCT
ejpam-6024	417	13	k	k	NOUN
ejpam-6024	417	14	)	)	PUNCT
ejpam-6024	417	15	β	β	NOUN
ejpam-6024	417	16	,	,	PUNCT
ejpam-6024	417	17	k	k	NOUN
ejpam-6024	417	18	,	,	PUNCT
ejpam-6024	417	19	n	n	NOUN
ejpam-6024	417	20	=	=	SYM
ejpam-6024	417	21	γ̂	γ̂	X
ejpam-6024	417	22	(	(	PUNCT
ejpam-6024	417	23	k	k	X
ejpam-6024	417	24	)	)	PUNCT
ejpam-6024	417	25	k	k	NOUN
ejpam-6024	417	26	1	1	NUM
ejpam-6024	417	27	β	β	NOUN
ejpam-6024	417	28	−	−	PROPN
ejpam-6024	417	29	γ̂	γ̂	PUNCT
ejpam-6024	417	30	(	(	PUNCT
ejpam-6024	417	31	k	k	X
ejpam-6024	417	32	)	)	PUNCT
ejpam-6024	417	33	k	k	NOUN
ejpam-6024	417	34	gβ(k	gβ(k	X
ejpam-6024	417	35	/	/	SYM
ejpam-6024	417	36	n)xn−k	n)xn−k	PROPN
ejpam-6024	417	37	,	,	PUNCT
ejpam-6024	417	38	n.	n.	PROPN
ejpam-6024	417	39	next	next	ADV
ejpam-6024	417	40	,	,	PUNCT
ejpam-6024	417	41	we	we	PRON
ejpam-6024	417	42	have	have	AUX
ejpam-6024	417	43	π̂	π̂	VERB
ejpam-6024	417	44	(	(	PUNCT
ejpam-6024	417	45	k	k	X
ejpam-6024	417	46	)	)	PUNCT
ejpam-6024	417	47	β	β	NOUN
ejpam-6024	417	48	,	,	PUNCT
ejpam-6024	417	49	k	k	PROPN
ejpam-6024	417	50	,	,	PUNCT
ejpam-6024	417	51	n	n	CCONJ
ejpam-6024	417	52	−	−	PROPN
ejpam-6024	417	53	πβ	πβ	NOUN
ejpam-6024	417	54	,	,	PUNCT
ejpam-6024	417	55	n	n	NOUN
ejpam-6024	417	56	=	=	SYM
ejpam-6024	417	57	γ̂	γ̂	X
ejpam-6024	417	58	(	(	PUNCT
ejpam-6024	417	59	k	k	X
ejpam-6024	417	60	)	)	PUNCT
ejpam-6024	417	61	k	k	NOUN
ejpam-6024	417	62	1	1	NUM
ejpam-6024	417	63	β	β	NOUN
ejpam-6024	417	64	−	−	PROPN
ejpam-6024	417	65	γ̂	γ̂	PUNCT
ejpam-6024	417	66	(	(	PUNCT
ejpam-6024	417	67	k	k	X
ejpam-6024	417	68	)	)	PUNCT
ejpam-6024	417	69	k	k	NOUN
ejpam-6024	417	70	gβ(k	gβ(k	X
ejpam-6024	417	71	/	/	SYM
ejpam-6024	417	72	n)xn−k	n)xn−k	PROPN
ejpam-6024	417	73	,	,	PUNCT
ejpam-6024	417	74	n	n	CCONJ
ejpam-6024	417	75	−	−	PROPN
ejpam-6024	417	76	∫	∫	PROPN
ejpam-6024	417	77	∞	∞	PROPN
ejpam-6024	417	78	q(1−k	q(1−k	PROPN
ejpam-6024	417	79	/	/	SYM
ejpam-6024	417	80	n	n	CCONJ
ejpam-6024	417	81	)	)	PUNCT
ejpam-6024	417	82	gβ(f	gβ(f	PUNCT
ejpam-6024	417	83	(	(	PUNCT
ejpam-6024	417	84	x))dx	x))dx	NOUN
ejpam-6024	417	85	let	let	AUX
ejpam-6024	417	86	consider	consider	VERB
ejpam-6024	417	87	a1	a1	NOUN
ejpam-6024	417	88	=	=	PUNCT
ejpam-6024	417	89	(	(	PUNCT
ejpam-6024	417	90	γ̂	γ̂	X
ejpam-6024	417	91	(	(	PUNCT
ejpam-6024	417	92	k	k	X
ejpam-6024	417	93	)	)	PUNCT
ejpam-6024	417	94	k	k	NOUN
ejpam-6024	417	95	1	1	NUM
ejpam-6024	417	96	β	β	NOUN
ejpam-6024	417	97	−	−	PROPN
ejpam-6024	417	98	γ̂	γ̂	PUNCT
ejpam-6024	417	99	(	(	PUNCT
ejpam-6024	417	100	k	k	X
ejpam-6024	417	101	)	)	PUNCT
ejpam-6024	417	102	k	k	NOUN
ejpam-6024	418	1	−	−	PROPN
ejpam-6024	418	2	γ	γ	X
ejpam-6024	418	3	1	1	NUM
ejpam-6024	418	4	β	β	NOUN
ejpam-6024	418	5	−	−	PROPN
ejpam-6024	418	6	γ	γ	NOUN
ejpam-6024	418	7	)	)	PUNCT
ejpam-6024	418	8	gβ(k	gβ(k	PROPN
ejpam-6024	418	9	/	/	SYM
ejpam-6024	418	10	n)xn−k	n)xn−k	PROPN
ejpam-6024	418	11	,	,	PUNCT
ejpam-6024	418	12	n	n	NOUN
ejpam-6024	418	13	a2	a2	NOUN
ejpam-6024	418	14	=	=	SYM
ejpam-6024	418	15	γ	γ	X
ejpam-6024	418	16	1	1	NUM
ejpam-6024	418	17	β	β	NOUN
ejpam-6024	418	18	−	−	PROPN
ejpam-6024	418	19	γ	γ	X
ejpam-6024	418	20	(	(	PUNCT
ejpam-6024	418	21	xn−k	xn−k	PROPN
ejpam-6024	418	22	,	,	PUNCT
ejpam-6024	418	23	n	n	PRON
ejpam-6024	418	24	q(1−	q(1−	NOUN
ejpam-6024	418	25	k	k	NOUN
ejpam-6024	418	26	/	/	SYM
ejpam-6024	418	27	n	n	CCONJ
ejpam-6024	418	28	)	)	PUNCT
ejpam-6024	418	29	−	−	PROPN
ejpam-6024	418	30	1	1	NUM
ejpam-6024	418	31	)	)	PUNCT
ejpam-6024	418	32	gβ(k	gβ(k	X
ejpam-6024	418	33	/	/	SYM
ejpam-6024	418	34	n)q(1−	n)q(1−	PROPN
ejpam-6024	418	35	k	k	PROPN
ejpam-6024	418	36	/	/	SYM
ejpam-6024	418	37	n	n	CCONJ
ejpam-6024	418	38	)	)	PUNCT
ejpam-6024	418	39	a3	a3	NOUN
ejpam-6024	418	40	=	=	PUNCT
ejpam-6024	418	41	γ	γ	X
ejpam-6024	418	42	1	1	NUM
ejpam-6024	418	43	β	β	NOUN
ejpam-6024	418	44	−	−	NOUN
ejpam-6024	418	45	γ	γ	X
ejpam-6024	418	46	gβ(k	gβ(k	X
ejpam-6024	418	47	/	/	SYM
ejpam-6024	418	48	n)q(1−	n)q(1−	PROPN
ejpam-6024	418	49	k	k	PROPN
ejpam-6024	418	50	/	/	SYM
ejpam-6024	418	51	n)−	n)−	PROPN
ejpam-6024	418	52	∫	∫	PROPN
ejpam-6024	418	53	∞	∞	NUM
ejpam-6024	418	54	q(1−k	q(1−k	PROPN
ejpam-6024	418	55	/	/	SYM
ejpam-6024	418	56	n	n	CCONJ
ejpam-6024	418	57	)	)	PUNCT
ejpam-6024	418	58	gβ(f	gβ(f	PUNCT
ejpam-6024	418	59	(	(	PUNCT
ejpam-6024	418	60	x))dx	x))dx	PROPN
ejpam-6024	418	61	.	.	PUNCT
ejpam-6024	419	1	it	it	PRON
ejpam-6024	419	2	easy	easy	ADJ
ejpam-6024	419	3	to	to	PART
ejpam-6024	419	4	verify	verify	VERB
ejpam-6024	419	5	that	that	PRON
ejpam-6024	419	6	:	:	PUNCT
ejpam-6024	419	7	π̂	π̂	NUM
ejpam-6024	419	8	(	(	PUNCT
ejpam-6024	419	9	k	k	X
ejpam-6024	419	10	)	)	PUNCT
ejpam-6024	419	11	β	β	NOUN
ejpam-6024	419	12	,	,	PUNCT
ejpam-6024	419	13	n	n	CCONJ
ejpam-6024	419	14	−	−	PROPN
ejpam-6024	419	15	πβ	πβ	NOUN
ejpam-6024	419	16	,	,	PUNCT
ejpam-6024	419	17	n	n	NOUN
ejpam-6024	419	18	=	=	NOUN
ejpam-6024	419	19	a1	a1	PROPN
ejpam-6024	419	20	+	+	PROPN
ejpam-6024	419	21	a2	a2	PROPN
ejpam-6024	419	22	+	+	NOUN
ejpam-6024	419	23	a3	a3	NOUN
ejpam-6024	419	24	.	.	PUNCT
ejpam-6024	420	1	under	under	ADP
ejpam-6024	420	2	the	the	DET
ejpam-6024	420	3	assumptions	assumption	NOUN
ejpam-6024	420	4	of	of	ADP
ejpam-6024	420	5	theorem	theorem	NOUN
ejpam-6024	420	6	1	1	NUM
ejpam-6024	420	7	,	,	PUNCT
ejpam-6024	420	8	if	if	SCONJ
ejpam-6024	420	9	k1/2a(n	k1/2a(n	PROPN
ejpam-6024	420	10	/	/	SYM
ejpam-6024	420	11	k	k	NOUN
ejpam-6024	420	12	)	)	PUNCT
ejpam-6024	420	13	→	→	PUNCT
ejpam-6024	420	14	λ	λ	X
ejpam-6024	420	15	∈	∈	PROPN
ejpam-6024	420	16	r	r	NOUN
ejpam-6024	420	17	,	,	PUNCT
ejpam-6024	420	18	as	as	ADP
ejpam-6024	420	19	n	n	NUM
ejpam-6024	420	20	→	→	SYM
ejpam-6024	420	21	∞	∞	PROPN
ejpam-6024	420	22	,	,	PUNCT
ejpam-6024	420	23	we	we	PRON
ejpam-6024	420	24	have	have	VERB
ejpam-6024	420	25	from	from	ADP
ejpam-6024	420	26	(	(	PUNCT
ejpam-6024	420	27	16	16	NUM
ejpam-6024	420	28	)	)	PUNCT
ejpam-6024	420	29	,	,	PUNCT
ejpam-6024	420	30	k1/2	k1/2	INTJ
ejpam-6024	420	31	(	(	PUNCT
ejpam-6024	420	32	γ̂	γ̂	X
ejpam-6024	420	33	(	(	PUNCT
ejpam-6024	420	34	k	k	NOUN
ejpam-6024	420	35	)	)	PUNCT
ejpam-6024	420	36	n	n	CCONJ
ejpam-6024	420	37	,	,	PUNCT
ejpam-6024	420	38	k	k	PROPN
ejpam-6024	420	39	−	−	PROPN
ejpam-6024	420	40	γ	γ	X
ejpam-6024	420	41	)	)	PUNCT
ejpam-6024	421	1	d	d	NOUN
ejpam-6024	421	2	=	=	SYM
ejpam-6024	421	3	λ	λ	X
ejpam-6024	421	4	∫	∫	PROPN
ejpam-6024	421	5	1	1	NUM
ejpam-6024	421	6	0	0	NUM
ejpam-6024	421	7	t−ρk(t)dt+	t−ρk(t)dt+	ADP
ejpam-6024	421	8	γ	γ	X
ejpam-6024	421	9	∫	∫	PROPN
ejpam-6024	421	10	1	1	NUM
ejpam-6024	421	11	0	0	NUM
ejpam-6024	421	12	(	(	PUNCT
ejpam-6024	421	13	t−1w	t−1w	NOUN
ejpam-6024	421	14	(	(	PUNCT
ejpam-6024	421	15	t)−w	t)−w	NUM
ejpam-6024	421	16	(	(	PUNCT
ejpam-6024	421	17	1	1	NUM
ejpam-6024	421	18	)	)	PUNCT
ejpam-6024	421	19	)	)	PUNCT
ejpam-6024	421	20	d(tk(t	d(tk(t	NOUN
ejpam-6024	421	21	)	)	PUNCT
ejpam-6024	421	22	)	)	PUNCT
ejpam-6024	422	1	+	+	CCONJ
ejpam-6024	422	2	op(1	op(1	NOUN
ejpam-6024	422	3	)	)	PUNCT
ejpam-6024	422	4	,	,	PUNCT
ejpam-6024	422	5	a.	a.	NOUN
ejpam-6024	422	6	aghrabatt	aghrabatt	PROPN
ejpam-6024	422	7	et	et	PROPN
ejpam-6024	422	8	al	al	PROPN
ejpam-6024	422	9	.	.	PUNCT
ejpam-6024	422	10	/	/	SYM
ejpam-6024	422	11	eur	eur	PROPN
ejpam-6024	422	12	.	.	PUNCT
ejpam-6024	423	1	j.	j.	PROPN
ejpam-6024	423	2	pure	pure	PROPN
ejpam-6024	423	3	appl	appl	PROPN
ejpam-6024	423	4	.	.	PROPN
ejpam-6024	423	5	math	math	PROPN
ejpam-6024	423	6	,	,	PUNCT
ejpam-6024	423	7	18	18	NUM
ejpam-6024	423	8	(	(	PUNCT
ejpam-6024	423	9	2	2	NUM
ejpam-6024	423	10	)	)	PUNCT
ejpam-6024	423	11	(	(	PUNCT
ejpam-6024	423	12	2025	2025	NUM
ejpam-6024	423	13	)	)	PUNCT
ejpam-6024	423	14	,	,	PUNCT
ejpam-6024	423	15	6024	6024	NUM
ejpam-6024	423	16	21	21	NUM
ejpam-6024	423	17	of	of	ADP
ejpam-6024	423	18	25	25	NUM
ejpam-6024	423	19	as	as	ADP
ejpam-6024	423	20	n	n	NUM
ejpam-6024	423	21	→	→	SYM
ejpam-6024	423	22	∞	∞	PROPN
ejpam-6024	423	23	,	,	PUNCT
ejpam-6024	423	24	where	where	SCONJ
ejpam-6024	423	25	(	(	PUNCT
ejpam-6024	423	26	w	w	PROPN
ejpam-6024	423	27	(	(	PUNCT
ejpam-6024	423	28	t))t∈[0,1	t))t∈[0,1	NOUN
ejpam-6024	423	29	]	]	X
ejpam-6024	423	30	is	be	AUX
ejpam-6024	423	31	a	a	DET
ejpam-6024	423	32	gaussian	gaussian	ADJ
ejpam-6024	423	33	process	process	NOUN
ejpam-6024	423	34	with	with	ADP
ejpam-6024	423	35	covariance	covariance	NOUN
ejpam-6024	423	36	function	function	NOUN
ejpam-6024	423	37	r	r	NOUN
ejpam-6024	423	38	(	(	PUNCT
ejpam-6024	423	39	.	.	PUNCT
ejpam-6024	423	40	,	,	PUNCT
ejpam-6024	423	41	.	.	PUNCT
ejpam-6024	423	42	)	)	PUNCT
ejpam-6024	424	1	given	give	VERB
ejpam-6024	424	2	in	in	ADP
ejpam-6024	424	3	(	(	PUNCT
ejpam-6024	424	4	cr	cr	NOUN
ejpam-6024	424	5	)	)	PUNCT
ejpam-6024	424	6	.	.	PUNCT
ejpam-6024	425	1	in	in	ADP
ejpam-6024	425	2	particular	particular	ADJ
ejpam-6024	425	3	,	,	PUNCT
ejpam-6024	425	4	this	this	DET
ejpam-6024	425	5	lead	lead	NOUN
ejpam-6024	425	6	to	to	ADP
ejpam-6024	425	7	γ̂	γ̂	PROPN
ejpam-6024	425	8	(	(	PUNCT
ejpam-6024	425	9	k	k	X
ejpam-6024	425	10	)	)	PUNCT
ejpam-6024	425	11	k	k	PROPN
ejpam-6024	425	12	p−→	p−→	VERB
ejpam-6024	425	13	γ	γ	NOUN
ejpam-6024	425	14	,	,	PUNCT
ejpam-6024	425	15	as	as	ADP
ejpam-6024	425	16	n	n	PROPN
ejpam-6024	425	17	→	→	SYM
ejpam-6024	425	18	∞.	∞.	PROPN
ejpam-6024	425	19	therefore	therefore	ADV
ejpam-6024	425	20	,	,	PUNCT
ejpam-6024	425	21	using	use	VERB
ejpam-6024	425	22	the	the	DET
ejpam-6024	425	23	delta	delta	NOUN
ejpam-6024	425	24	-	-	PUNCT
ejpam-6024	425	25	method	method	NOUN
ejpam-6024	425	26	procedure	procedure	NOUN
ejpam-6024	425	27	,	,	PUNCT
ejpam-6024	425	28	we	we	PRON
ejpam-6024	425	29	get	get	VERB
ejpam-6024	425	30	for	for	ADP
ejpam-6024	425	31	all	all	DET
ejpam-6024	425	32	n	n	ADV
ejpam-6024	425	33	large	large	ADJ
ejpam-6024	425	34	enough	enough	ADV
ejpam-6024	425	35	:	:	PUNCT
ejpam-6024	425	36	a1	a1	NOUN
ejpam-6024	425	37	d	d	NOUN
ejpam-6024	425	38	=	=	PUNCT
ejpam-6024	425	39	(	(	PUNCT
ejpam-6024	425	40	1	1	NUM
ejpam-6024	425	41	+	+	CCONJ
ejpam-6024	425	42	op(1	op(1	NOUN
ejpam-6024	425	43	)	)	PUNCT
ejpam-6024	425	44	)	)	PUNCT
ejpam-6024	426	1	β	β	X
ejpam-6024	426	2	(	(	PUNCT
ejpam-6024	426	3	1−	1−	NUM
ejpam-6024	426	4	β	β	PROPN
ejpam-6024	426	5	γ)2	γ)2	PROPN
ejpam-6024	426	6	k−1/2gβ(k	k−1/2gβ(k	PROPN
ejpam-6024	426	7	/	/	SYM
ejpam-6024	426	8	n)xn−k	n)xn−k	PROPN
ejpam-6024	426	9	,	,	PUNCT
ejpam-6024	426	10	n	n	CCONJ
ejpam-6024	426	11	{	{	PUNCT
ejpam-6024	427	1	λ	λ	X
ejpam-6024	427	2	∫	∫	PROPN
ejpam-6024	427	3	1	1	NUM
ejpam-6024	427	4	0	0	NUM
ejpam-6024	427	5	t−ρk(t)dt+	t−ρk(t)dt+	ADP
ejpam-6024	427	6	γ	γ	X
ejpam-6024	427	7	∫	∫	PROPN
ejpam-6024	427	8	1	1	NUM
ejpam-6024	427	9	0	0	NUM
ejpam-6024	427	10	(	(	PUNCT
ejpam-6024	427	11	t−1w	t−1w	NOUN
ejpam-6024	427	12	(	(	PUNCT
ejpam-6024	427	13	t)−w	t)−w	NUM
ejpam-6024	427	14	(	(	PUNCT
ejpam-6024	427	15	1	1	NUM
ejpam-6024	427	16	)	)	PUNCT
ejpam-6024	427	17	)	)	PUNCT
ejpam-6024	428	1	d(tk(t	d(tk(t	NOUN
ejpam-6024	428	2	)	)	PUNCT
ejpam-6024	428	3	)	)	PUNCT
ejpam-6024	428	4	}	}	PUNCT
ejpam-6024	428	5	.	.	PUNCT
ejpam-6024	429	1	next	next	ADV
ejpam-6024	429	2	,	,	PUNCT
ejpam-6024	429	3	from	from	ADP
ejpam-6024	429	4	[	[	X
ejpam-6024	429	5	19	19	NUM
ejpam-6024	429	6	]	]	PUNCT
ejpam-6024	429	7	,	,	PUNCT
ejpam-6024	429	8	proposition	proposition	NOUN
ejpam-6024	429	9	1	1	NUM
ejpam-6024	429	10	,	,	PUNCT
ejpam-6024	429	11	we	we	PRON
ejpam-6024	429	12	have	have	VERB
ejpam-6024	429	13	for	for	ADP
ejpam-6024	429	14	all	all	DET
ejpam-6024	429	15	n	n	ADV
ejpam-6024	429	16	large	large	ADJ
ejpam-6024	429	17	enough	enough	ADV
ejpam-6024	429	18	:	:	PUNCT
ejpam-6024	429	19	√	√	PROPN
ejpam-6024	430	1	k	k	X
ejpam-6024	430	2	(	(	PUNCT
ejpam-6024	430	3	xn−k	xn−k	PROPN
ejpam-6024	430	4	,	,	PUNCT
ejpam-6024	430	5	n	n	PRON
ejpam-6024	430	6	q(1−	q(1−	NOUN
ejpam-6024	430	7	k	k	NOUN
ejpam-6024	430	8	/	/	SYM
ejpam-6024	430	9	n	n	CCONJ
ejpam-6024	430	10	)	)	PUNCT
ejpam-6024	430	11	−	−	PROPN
ejpam-6024	430	12	1	1	NUM
ejpam-6024	430	13	)	)	PUNCT
ejpam-6024	430	14	d	d	NOUN
ejpam-6024	430	15	=	=	SYM
ejpam-6024	430	16	γw	γw	X
ejpam-6024	430	17	(	(	PUNCT
ejpam-6024	430	18	1	1	NUM
ejpam-6024	430	19	)	)	PUNCT
ejpam-6024	430	20	+	+	NUM
ejpam-6024	430	21	op(1	op(1	NOUN
ejpam-6024	430	22	)	)	PUNCT
ejpam-6024	430	23	.	.	PUNCT
ejpam-6024	431	1	(	(	PUNCT
ejpam-6024	431	2	30	30	X
ejpam-6024	431	3	)	)	PUNCT
ejpam-6024	431	4	this	this	PRON
ejpam-6024	431	5	implies	imply	VERB
ejpam-6024	431	6	that	that	SCONJ
ejpam-6024	431	7	xn−k	xn−k	PROPN
ejpam-6024	431	8	,	,	PUNCT
ejpam-6024	431	9	n	n	CCONJ
ejpam-6024	431	10	/	/	SYM
ejpam-6024	431	11	q(1−	q(1−	NOUN
ejpam-6024	431	12	k	k	NOUN
ejpam-6024	431	13	/	/	SYM
ejpam-6024	431	14	n	n	CCONJ
ejpam-6024	431	15	)	)	PUNCT
ejpam-6024	431	16	=	=	SYM
ejpam-6024	431	17	1	1	NUM
ejpam-6024	431	18	+	+	NUM
ejpam-6024	431	19	op(1	op(1	NOUN
ejpam-6024	431	20	)	)	PUNCT
ejpam-6024	431	21	.	.	PUNCT
ejpam-6024	432	1	and	and	CCONJ
ejpam-6024	432	2	then	then	ADV
ejpam-6024	432	3	,	,	PUNCT
ejpam-6024	432	4	for	for	ADP
ejpam-6024	432	5	all	all	DET
ejpam-6024	432	6	n	n	ADV
ejpam-6024	432	7	large	large	ADJ
ejpam-6024	432	8	enough	enough	ADV
ejpam-6024	432	9	,	,	PUNCT
ejpam-6024	432	10	we	we	PRON
ejpam-6024	432	11	get	get	VERB
ejpam-6024	432	12	√	√	NOUN
ejpam-6024	432	13	k	k	NOUN
ejpam-6024	432	14	a1	a1	NOUN
ejpam-6024	432	15	gβ(k	gβ(k	X
ejpam-6024	432	16	/	/	SYM
ejpam-6024	432	17	n)q(1−	n)q(1−	PROPN
ejpam-6024	432	18	k	k	PROPN
ejpam-6024	432	19	/	/	SYM
ejpam-6024	432	20	n	n	CCONJ
ejpam-6024	432	21	)	)	PUNCT
ejpam-6024	432	22	d	d	NOUN
ejpam-6024	432	23	=	=	SYM
ejpam-6024	432	24	(	(	PUNCT
ejpam-6024	432	25	1+op(1	1+op(1	NUM
ejpam-6024	432	26	)	)	PUNCT
ejpam-6024	432	27	)	)	PUNCT
ejpam-6024	433	1	β	β	X
ejpam-6024	433	2	(	(	PUNCT
ejpam-6024	433	3	1−	1−	NUM
ejpam-6024	433	4	β	β	X
ejpam-6024	433	5	γ)2	γ)2	NOUN
ejpam-6024	433	6	{	{	PUNCT
ejpam-6024	433	7	λ	λ	X
ejpam-6024	433	8	∫	∫	PROPN
ejpam-6024	433	9	1	1	NUM
ejpam-6024	433	10	0	0	NUM
ejpam-6024	433	11	t−ρk(t)dt+γ	t−ρk(t)dt+γ	NOUN
ejpam-6024	433	12	∫	∫	PROPN
ejpam-6024	433	13	1	1	NUM
ejpam-6024	433	14	0	0	NUM
ejpam-6024	434	1	(	(	PUNCT
ejpam-6024	434	2	t−1w	t−1w	NOUN
ejpam-6024	434	3	(	(	PUNCT
ejpam-6024	434	4	t)−w	t)−w	NUM
ejpam-6024	434	5	(	(	PUNCT
ejpam-6024	434	6	1	1	NUM
ejpam-6024	434	7	)	)	PUNCT
ejpam-6024	434	8	)	)	PUNCT
ejpam-6024	434	9	d(tk(t	d(tk(t	NOUN
ejpam-6024	434	10	)	)	PUNCT
ejpam-6024	434	11	)	)	PUNCT
ejpam-6024	434	12	}	}	PUNCT
ejpam-6024	434	13	.	.	PUNCT
ejpam-6024	435	1	(	(	PUNCT
ejpam-6024	435	2	31	31	NUM
ejpam-6024	435	3	)	)	PUNCT
ejpam-6024	435	4	similarly	similarly	ADV
ejpam-6024	435	5	,	,	PUNCT
ejpam-6024	435	6	using	use	VERB
ejpam-6024	435	7	again	again	ADV
ejpam-6024	435	8	(	(	PUNCT
ejpam-6024	435	9	30	30	NUM
ejpam-6024	435	10	)	)	PUNCT
ejpam-6024	435	11	,	,	PUNCT
ejpam-6024	435	12	we	we	PRON
ejpam-6024	435	13	get	get	VERB
ejpam-6024	435	14	for	for	ADP
ejpam-6024	435	15	all	all	DET
ejpam-6024	435	16	n	n	ADV
ejpam-6024	435	17	large	large	ADJ
ejpam-6024	435	18	enough	enough	ADV
ejpam-6024	435	19	:	:	PUNCT
ejpam-6024	435	20	√	√	PROPN
ejpam-6024	435	21	k	k	PROPN
ejpam-6024	435	22	a2	a2	PROPN
ejpam-6024	435	23	gβ(k	gβ(k	X
ejpam-6024	435	24	/	/	SYM
ejpam-6024	435	25	n)q(1−	n)q(1−	PROPN
ejpam-6024	435	26	k	k	PROPN
ejpam-6024	435	27	/	/	SYM
ejpam-6024	435	28	n	n	CCONJ
ejpam-6024	435	29	)	)	PUNCT
ejpam-6024	436	1	d	d	NOUN
ejpam-6024	436	2	=	=	SYM
ejpam-6024	436	3	(	(	PUNCT
ejpam-6024	436	4	1	1	NUM
ejpam-6024	436	5	+	+	CCONJ
ejpam-6024	436	6	op(1	op(1	NOUN
ejpam-6024	436	7	)	)	PUNCT
ejpam-6024	436	8	)	)	PUNCT
ejpam-6024	437	1	βγ2	βγ2	PROPN
ejpam-6024	438	1	1−	1−	NUM
ejpam-6024	438	2	β	β	SYM
ejpam-6024	438	3	γ	γ	X
ejpam-6024	438	4	w	w	PROPN
ejpam-6024	438	5	(	(	PUNCT
ejpam-6024	438	6	1	1	NUM
ejpam-6024	438	7	)	)	PUNCT
ejpam-6024	438	8	.	.	PUNCT
ejpam-6024	439	1	(	(	PUNCT
ejpam-6024	439	2	32	32	NUM
ejpam-6024	439	3	)	)	PUNCT
ejpam-6024	439	4	for	for	ADP
ejpam-6024	439	5	the	the	DET
ejpam-6024	439	6	term	term	NOUN
ejpam-6024	439	7	a3	a3	NOUN
ejpam-6024	439	8	,	,	PUNCT
ejpam-6024	439	9	we	we	PRON
ejpam-6024	439	10	have	have	VERB
ejpam-6024	439	11	:	:	PUNCT
ejpam-6024	439	12	√	√	PROPN
ejpam-6024	439	13	k	k	PROPN
ejpam-6024	439	14	a3	a3	PROPN
ejpam-6024	439	15	gβ(k	gβ(k	PROPN
ejpam-6024	439	16	/	/	SYM
ejpam-6024	439	17	n)q(1−	n)q(1−	PROPN
ejpam-6024	439	18	k	k	PROPN
ejpam-6024	439	19	/	/	SYM
ejpam-6024	439	20	n	n	CCONJ
ejpam-6024	439	21	)	)	PUNCT
ejpam-6024	439	22	=	=	SYM
ejpam-6024	440	1	√	√	NUM
ejpam-6024	440	2	k	k	NOUN
ejpam-6024	440	3	(	(	PUNCT
ejpam-6024	440	4	γβ	γβ	NOUN
ejpam-6024	440	5	1−	1−	NUM
ejpam-6024	440	6	β	β	SYM
ejpam-6024	440	7	γ	γ	X
ejpam-6024	440	8	−	−	PROPN
ejpam-6024	440	9	πβ	πβ	NOUN
ejpam-6024	440	10	,	,	PUNCT
ejpam-6024	440	11	n	n	PRON
ejpam-6024	440	12	q(1−	q(1−	NOUN
ejpam-6024	441	1	k	k	X
ejpam-6024	441	2	/	/	SYM
ejpam-6024	441	3	n)gβ(k	n)gβ(k	PROPN
ejpam-6024	441	4	/	/	SYM
ejpam-6024	441	5	n	n	CCONJ
ejpam-6024	441	6	)	)	PUNCT
ejpam-6024	441	7	)	)	PUNCT
ejpam-6024	441	8	.	.	PUNCT
ejpam-6024	442	1	since	since	SCONJ
ejpam-6024	442	2	πβ	πβ	NOUN
ejpam-6024	442	3	,	,	PUNCT
ejpam-6024	442	4	n	n	NOUN
ejpam-6024	442	5	=	=	PUNCT
ejpam-6024	442	6	∫∞	∫∞	NOUN
ejpam-6024	442	7	u(n	u(n	PROPN
ejpam-6024	442	8	/	/	SYM
ejpam-6024	442	9	k	k	NOUN
ejpam-6024	442	10	)	)	PUNCT
ejpam-6024	442	11	gβ(f	gβ(f	PUNCT
ejpam-6024	442	12	(	(	PUNCT
ejpam-6024	442	13	x))dx	x))dx	NOUN
ejpam-6024	442	14	and	and	CCONJ
ejpam-6024	442	15	u(t	u(t	NOUN
ejpam-6024	442	16	)	)	PUNCT
ejpam-6024	442	17	=	=	PUNCT
ejpam-6024	442	18	q(1	q(1	NOUN
ejpam-6024	442	19	−	−	NUM
ejpam-6024	442	20	1	1	NUM
ejpam-6024	442	21	/	/	SYM
ejpam-6024	442	22	t	t	PROPN
ejpam-6024	442	23	)	)	PUNCT
ejpam-6024	442	24	,	,	PUNCT
ejpam-6024	442	25	t	t	PROPN
ejpam-6024	442	26	≥	≥	NUM
ejpam-6024	442	27	1	1	NUM
ejpam-6024	442	28	,	,	PUNCT
ejpam-6024	442	29	a	a	DET
ejpam-6024	442	30	change	change	NOUN
ejpam-6024	442	31	of	of	ADP
ejpam-6024	442	32	variables	variable	NOUN
ejpam-6024	442	33	with	with	ADP
ejpam-6024	442	34	x	x	X
ejpam-6024	442	35	=	=	PUNCT
ejpam-6024	442	36	u(nt	u(nt	PROPN
ejpam-6024	442	37	/	/	SYM
ejpam-6024	442	38	k	k	NOUN
ejpam-6024	442	39	)	)	PUNCT
ejpam-6024	442	40	yields	yield	NOUN
ejpam-6024	442	41	to	to	PART
ejpam-6024	442	42	:	:	PUNCT
ejpam-6024	442	43	πβ	πβ	NOUN
ejpam-6024	442	44	,	,	PUNCT
ejpam-6024	442	45	n	n	NOUN
ejpam-6024	442	46	=	=	SYM
ejpam-6024	442	47	∫	∫	PROPN
ejpam-6024	442	48	∞	∞	NUM
ejpam-6024	442	49	1	1	NUM
ejpam-6024	442	50	gβ	gβ	NOUN
ejpam-6024	442	51	(	(	PUNCT
ejpam-6024	442	52	k	k	NOUN
ejpam-6024	442	53	/	/	SYM
ejpam-6024	442	54	nt	not	PART
ejpam-6024	442	55	)	)	PUNCT
ejpam-6024	442	56	du(nt	du(nt	PROPN
ejpam-6024	442	57	/	/	SYM
ejpam-6024	442	58	k	k	NOUN
ejpam-6024	442	59	)	)	PUNCT
ejpam-6024	442	60	.	.	PUNCT
ejpam-6024	443	1	since	since	SCONJ
ejpam-6024	443	2	gβ(x	gβ(x	NOUN
ejpam-6024	443	3	)	)	PUNCT
ejpam-6024	443	4	=	=	SYM
ejpam-6024	443	5	x1	x1	PROPN
ejpam-6024	443	6	/	/	SYM
ejpam-6024	443	7	β	β	X
ejpam-6024	443	8	and	and	CCONJ
ejpam-6024	443	9	froù	froù	PROPN
ejpam-6024	443	10	(	(	PUNCT
ejpam-6024	443	11	8)	8)	NUM
ejpam-6024	443	12	,	,	PUNCT
ejpam-6024	443	13	u	u	NOUN
ejpam-6024	443	14	(	(	PUNCT
ejpam-6024	443	15	·	·	PUNCT
ejpam-6024	443	16	)	)	PUNCT
ejpam-6024	443	17	is	be	AUX
ejpam-6024	443	18	a	a	DET
ejpam-6024	443	19	regularly	regularly	ADV
ejpam-6024	443	20	varying	vary	VERB
ejpam-6024	443	21	function	function	NOUN
ejpam-6024	443	22	with	with	ADP
ejpam-6024	443	23	index	index	NOUN
ejpam-6024	443	24	γ	γ	X
ejpam-6024	443	25	>	>	X
ejpam-6024	443	26	0	0	NUM
ejpam-6024	443	27	,	,	PUNCT
ejpam-6024	443	28	then	then	ADV
ejpam-6024	443	29	gβ(k	gβ(k	X
ejpam-6024	443	30	/	/	SYM
ejpam-6024	443	31	nt)u(k	nt)u(k	ADJ
ejpam-6024	443	32	/	/	SYM
ejpam-6024	443	33	nt	nt	NOUN
ejpam-6024	443	34	)	)	PUNCT
ejpam-6024	443	35	→	→	SYM
ejpam-6024	443	36	0	0	NUM
ejpam-6024	443	37	,	,	PUNCT
ejpam-6024	443	38	as	as	ADP
ejpam-6024	443	39	t	t	PROPN
ejpam-6024	443	40	→	→	SYM
ejpam-6024	443	41	∞.	∞.	PROPN
ejpam-6024	443	42	thus	thus	ADV
ejpam-6024	443	43	,	,	PUNCT
ejpam-6024	443	44	an	an	DET
ejpam-6024	443	45	integration	integration	NOUN
ejpam-6024	443	46	by	by	ADP
ejpam-6024	443	47	parts	part	NOUN
ejpam-6024	443	48	yields	yield	NOUN
ejpam-6024	443	49	to	to	PART
ejpam-6024	443	50	:	:	PUNCT
ejpam-6024	443	51	πβ	πβ	NOUN
ejpam-6024	443	52	,	,	PUNCT
ejpam-6024	443	53	n	n	NOUN
ejpam-6024	443	54	=	=	SYM
ejpam-6024	443	55	gβ(k	gβ(k	X
ejpam-6024	443	56	/	/	SYM
ejpam-6024	443	57	n	n	CCONJ
ejpam-6024	443	58	)	)	PUNCT
ejpam-6024	443	59	1	1	NUM
ejpam-6024	443	60	β	β	X
ejpam-6024	443	61	∫	∫	PROPN
ejpam-6024	443	62	∞	∞	PROPN
ejpam-6024	443	63	1	1	NUM
ejpam-6024	443	64	t−1	t−1	PROPN
ejpam-6024	443	65	/	/	SYM
ejpam-6024	443	66	β−1(u(nt	β−1(u(nt	PROPN
ejpam-6024	443	67	/	/	SYM
ejpam-6024	443	68	k)−	k)−	PROPN
ejpam-6024	443	69	u(n	u(n	PROPN
ejpam-6024	443	70	/	/	SYM
ejpam-6024	443	71	k))dt	k))dt	PROPN
ejpam-6024	443	72	.	.	PUNCT
ejpam-6024	444	1	therefore	therefore	ADV
ejpam-6024	444	2	,	,	PUNCT
ejpam-6024	444	3	by	by	ADP
ejpam-6024	444	4	using	use	VERB
ejpam-6024	444	5	again	again	ADV
ejpam-6024	444	6	u(n	u(n	PROPN
ejpam-6024	444	7	/	/	SYM
ejpam-6024	444	8	k	k	NOUN
ejpam-6024	444	9	)	)	PUNCT
ejpam-6024	444	10	=	=	SYM
ejpam-6024	444	11	q(1−	q(1−	NOUN
ejpam-6024	444	12	k	k	NOUN
ejpam-6024	444	13	/	/	SYM
ejpam-6024	444	14	n	n	CCONJ
ejpam-6024	444	15	)	)	PUNCT
ejpam-6024	444	16	,	,	PUNCT
ejpam-6024	444	17	we	we	PRON
ejpam-6024	444	18	get	get	VERB
ejpam-6024	444	19	:	:	PUNCT
ejpam-6024	444	20	√	√	ADP
ejpam-6024	444	21	ka3	ka3	NOUN
ejpam-6024	444	22	gβ(k	gβ(k	X
ejpam-6024	444	23	/	/	SYM
ejpam-6024	444	24	n)q(1−	n)q(1−	PROPN
ejpam-6024	444	25	k	k	PROPN
ejpam-6024	444	26	/	/	SYM
ejpam-6024	444	27	n	n	CCONJ
ejpam-6024	444	28	)	)	PUNCT
ejpam-6024	444	29	=	=	SYM
ejpam-6024	445	1	√	√	NUM
ejpam-6024	445	2	k	k	NOUN
ejpam-6024	446	1	[	[	PUNCT
ejpam-6024	446	2	βγ	βγ	NOUN
ejpam-6024	446	3	1−	1−	NUM
ejpam-6024	446	4	βγ	βγ	NOUN
ejpam-6024	446	5	−	−	NOUN
ejpam-6024	446	6	1	1	NUM
ejpam-6024	446	7	β	β	X
ejpam-6024	446	8	∫	∫	PROPN
ejpam-6024	446	9	∞	∞	PROPN
ejpam-6024	446	10	1	1	NUM
ejpam-6024	446	11	t−1	t−1	PROPN
ejpam-6024	446	12	/	/	SYM
ejpam-6024	446	13	β−1	β−1	PUNCT
ejpam-6024	446	14	(	(	PUNCT
ejpam-6024	446	15	u(nt	u(nt	PROPN
ejpam-6024	446	16	/	/	SYM
ejpam-6024	446	17	k	k	NOUN
ejpam-6024	446	18	)	)	PUNCT
ejpam-6024	446	19	u(n	u(n	PROPN
ejpam-6024	446	20	/	/	SYM
ejpam-6024	446	21	k	k	NOUN
ejpam-6024	446	22	)	)	PUNCT
ejpam-6024	446	23	−	−	PROPN
ejpam-6024	446	24	1	1	NUM
ejpam-6024	446	25	)	)	PUNCT
ejpam-6024	446	26	dt	dt	X
ejpam-6024	446	27	]	]	PUNCT
ejpam-6024	447	1	=	=	PUNCT
ejpam-6024	447	2	−	−	PROPN
ejpam-6024	447	3	1	1	NUM
ejpam-6024	447	4	β	β	SYM
ejpam-6024	447	5	√	√	NUM
ejpam-6024	447	6	k	k	NOUN
ejpam-6024	447	7	∫	∫	PROPN
ejpam-6024	448	1	∞	∞	PROPN
ejpam-6024	448	2	1	1	NUM
ejpam-6024	448	3	t−1−1	t−1−1	PROPN
ejpam-6024	448	4	/	/	SYM
ejpam-6024	448	5	β	β	X
ejpam-6024	448	6	(	(	PUNCT
ejpam-6024	448	7	u(nt	u(nt	PROPN
ejpam-6024	448	8	/	/	SYM
ejpam-6024	448	9	k	k	NOUN
ejpam-6024	448	10	)	)	PUNCT
ejpam-6024	448	11	u(n	u(n	PROPN
ejpam-6024	448	12	/	/	SYM
ejpam-6024	448	13	k	k	NOUN
ejpam-6024	448	14	)	)	PUNCT
ejpam-6024	448	15	−	−	PROPN
ejpam-6024	448	16	tγ	tγ	NOUN
ejpam-6024	448	17	)	)	PUNCT
ejpam-6024	449	1	dt	dt	X
ejpam-6024	449	2	.	.	PUNCT
ejpam-6024	450	1	(	(	PUNCT
ejpam-6024	450	2	33	33	NUM
ejpam-6024	450	3	)	)	PUNCT
ejpam-6024	450	4	assume	assume	VERB
ejpam-6024	450	5	that	that	SCONJ
ejpam-6024	450	6	the	the	DET
ejpam-6024	450	7	second	second	ADJ
ejpam-6024	450	8	order	order	NOUN
ejpam-6024	450	9	condition	condition	NOUN
ejpam-6024	450	10	(	(	PUNCT
ejpam-6024	450	11	cso	cso	PROPN
ejpam-6024	450	12	)	)	PUNCT
ejpam-6024	450	13	holds	hold	VERB
ejpam-6024	450	14	.	.	PUNCT
ejpam-6024	451	1	from	from	ADP
ejpam-6024	451	2	theorem	theorem	ADJ
ejpam-6024	451	3	b.2.18	b.2.18	PUNCT
ejpam-6024	451	4	in	in	ADP
ejpam-6024	451	5	[	[	X
ejpam-6024	451	6	11	11	NUM
ejpam-6024	451	7	]	]	PUNCT
ejpam-6024	451	8	,	,	PUNCT
ejpam-6024	451	9	we	we	PRON
ejpam-6024	451	10	have	have	AUX
ejpam-6024	451	11	we	we	PRON
ejpam-6024	451	12	have	have	VERB
ejpam-6024	451	13	for	for	ADP
ejpam-6024	451	14	a	a	DET
ejpam-6024	451	15	possibly	possibly	ADV
ejpam-6024	451	16	different	different	ADJ
ejpam-6024	451	17	function	function	NOUN
ejpam-6024	451	18	ã	ã	PROPN
ejpam-6024	451	19	,	,	PUNCT
ejpam-6024	451	20	with	with	ADP
ejpam-6024	451	21	ã(z	ã(z	NOUN
ejpam-6024	451	22	)	)	PUNCT
ejpam-6024	451	23	∼	∼	NOUN
ejpam-6024	451	24	a(z	a(z	NOUN
ejpam-6024	451	25	)	)	PUNCT
ejpam-6024	451	26	,	,	PUNCT
ejpam-6024	451	27	z	z	NOUN
ejpam-6024	451	28	→	→	SYM
ejpam-6024	451	29	∞	∞	PROPN
ejpam-6024	451	30	,	,	PUNCT
ejpam-6024	451	31	and	and	CCONJ
ejpam-6024	451	32	for	for	ADP
ejpam-6024	451	33	all	all	DET
ejpam-6024	451	34	ε	ε	PROPN
ejpam-6024	451	35	,	,	PUNCT
ejpam-6024	451	36	δ	δ	PROPN
ejpam-6024	451	37	>	>	X
ejpam-6024	451	38	0	0	PROPN
ejpam-6024	451	39	,	,	PUNCT
ejpam-6024	451	40	there	there	PRON
ejpam-6024	451	41	exists	exist	VERB
ejpam-6024	451	42	some	some	DET
ejpam-6024	451	43	positive	positive	ADJ
ejpam-6024	451	44	number	number	NOUN
ejpam-6024	451	45	z0	z0	NOUN
ejpam-6024	451	46	=	=	SYM
ejpam-6024	451	47	z0(ε	z0(ε	PROPN
ejpam-6024	451	48	,	,	PUNCT
ejpam-6024	451	49	δ	δ	PROPN
ejpam-6024	451	50	)	)	PUNCT
ejpam-6024	451	51	such	such	ADJ
ejpam-6024	451	52	that	that	PRON
ejpam-6024	451	53	for	for	ADP
ejpam-6024	451	54	tz	tz	PROPN
ejpam-6024	451	55	≥	≥	NOUN
ejpam-6024	451	56	z0:∣∣∣∣	z0:∣∣∣∣	PROPN
ejpam-6024	451	57	u(tz	u(tz	NUM
ejpam-6024	451	58	)	)	PUNCT
ejpam-6024	451	59	u(z	u(z	NOUN
ejpam-6024	451	60	)	)	PUNCT
ejpam-6024	451	61	−	−	ADP
ejpam-6024	451	62	tγ	tγ	PROPN
ejpam-6024	451	63	ã(z	ã(z	PROPN
ejpam-6024	451	64	)	)	PUNCT
ejpam-6024	452	1	−	−	PROPN
ejpam-6024	452	2	tγ	tγ	INTJ
ejpam-6024	452	3	tρ	tρ	INTJ
ejpam-6024	452	4	−	−	PROPN
ejpam-6024	452	5	1	1	NUM
ejpam-6024	452	6	ρ	ρ	PROPN
ejpam-6024	452	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6024	452	8	≤	≤	NOUN
ejpam-6024	452	9	εtρ+γ	εtρ+γ	NUM
ejpam-6024	452	10	max(tδ	max(tδ	NOUN
ejpam-6024	452	11	,	,	PUNCT
ejpam-6024	452	12	t−δ	t−δ	NOUN
ejpam-6024	452	13	)	)	PUNCT
ejpam-6024	452	14	.	.	PUNCT
ejpam-6024	453	1	(	(	PUNCT
ejpam-6024	453	2	34	34	NUM
ejpam-6024	453	3	)	)	PUNCT
ejpam-6024	453	4	a.	a.	NOUN
ejpam-6024	453	5	aghrabatt	aghrabatt	NOUN
ejpam-6024	453	6	et	et	PROPN
ejpam-6024	453	7	al	al	PROPN
ejpam-6024	453	8	.	.	PUNCT
ejpam-6024	453	9	/	/	SYM
ejpam-6024	453	10	eur	eur	PROPN
ejpam-6024	453	11	.	.	PUNCT
ejpam-6024	454	1	j.	j.	PROPN
ejpam-6024	454	2	pure	pure	PROPN
ejpam-6024	454	3	appl	appl	PROPN
ejpam-6024	454	4	.	.	PROPN
ejpam-6024	454	5	math	math	PROPN
ejpam-6024	454	6	,	,	PUNCT
ejpam-6024	454	7	18	18	NUM
ejpam-6024	454	8	(	(	PUNCT
ejpam-6024	454	9	2	2	NUM
ejpam-6024	454	10	)	)	PUNCT
ejpam-6024	454	11	(	(	PUNCT
ejpam-6024	454	12	2025	2025	NUM
ejpam-6024	454	13	)	)	PUNCT
ejpam-6024	454	14	,	,	PUNCT
ejpam-6024	454	15	6024	6024	NUM
ejpam-6024	454	16	22	22	NUM
ejpam-6024	454	17	of	of	ADP
ejpam-6024	454	18	25	25	NUM
ejpam-6024	454	19	since	since	SCONJ
ejpam-6024	454	20	k1/2a(n	k1/2a(n	PROPN
ejpam-6024	454	21	/	/	SYM
ejpam-6024	454	22	k	k	NOUN
ejpam-6024	454	23	)	)	PUNCT
ejpam-6024	454	24	→	→	PUNCT
ejpam-6024	454	25	λ	λ	X
ejpam-6024	454	26	∈	∈	PROPN
ejpam-6024	454	27	r	r	NOUN
ejpam-6024	454	28	,	,	PUNCT
ejpam-6024	454	29	then	then	ADV
ejpam-6024	454	30	from	from	ADP
ejpam-6024	454	31	(	(	PUNCT
ejpam-6024	454	32	33	33	NUM
ejpam-6024	454	33	)	)	PUNCT
ejpam-6024	454	34	and	and	CCONJ
ejpam-6024	454	35	(	(	PUNCT
ejpam-6024	454	36	34	34	NUM
ejpam-6024	454	37	)	)	PUNCT
ejpam-6024	454	38	,	,	PUNCT
ejpam-6024	454	39	we	we	PRON
ejpam-6024	454	40	have	have	VERB
ejpam-6024	454	41	for	for	ADP
ejpam-6024	454	42	0	0	NUM
ejpam-6024	454	43	<	<	X
ejpam-6024	454	44	γ	γ	X
ejpam-6024	454	45	<	<	X
ejpam-6024	454	46	1	1	NUM
ejpam-6024	454	47	,	,	PUNCT
ejpam-6024	454	48	γ	γ	X
ejpam-6024	454	49	<	<	X
ejpam-6024	454	50	1	1	NUM
ejpam-6024	454	51	/	/	SYM
ejpam-6024	454	52	β	β	NOUN
ejpam-6024	454	53	and	and	CCONJ
ejpam-6024	454	54	for	for	ADP
ejpam-6024	454	55	all	all	DET
ejpam-6024	454	56	values	value	NOUN
ejpam-6024	454	57	of	of	ADP
ejpam-6024	454	58	n	n	PRON
ejpam-6024	454	59	large	large	ADJ
ejpam-6024	454	60	enough	enough	ADV
ejpam-6024	454	61	:	:	PUNCT
ejpam-6024	454	62	√	√	ADP
ejpam-6024	454	63	ka3	ka3	NOUN
ejpam-6024	454	64	gβ(k	gβ(k	X
ejpam-6024	454	65	/	/	SYM
ejpam-6024	454	66	n)q(1−	n)q(1−	PROPN
ejpam-6024	454	67	k	k	PROPN
ejpam-6024	454	68	/	/	SYM
ejpam-6024	454	69	n	n	CCONJ
ejpam-6024	454	70	)	)	PUNCT
ejpam-6024	454	71	=	=	PUNCT
ejpam-6024	455	1	−λ	−λ	PROPN
ejpam-6024	455	2	β	β	X
ejpam-6024	455	3	∫	∫	PROPN
ejpam-6024	455	4	∞	∞	PROPN
ejpam-6024	455	5	1	1	NUM
ejpam-6024	455	6	tγ−1	tγ−1	NOUN
ejpam-6024	455	7	/	/	SYM
ejpam-6024	455	8	β−1	β−1	NUM
ejpam-6024	455	9	t	t	PROPN
ejpam-6024	455	10	ρ	ρ	NUM
ejpam-6024	455	11	−	−	PROPN
ejpam-6024	455	12	1	1	NUM
ejpam-6024	455	13	ρ	ρ	PROPN
ejpam-6024	455	14	dt(1	dt(1	X
ejpam-6024	455	15	+	+	NUM
ejpam-6024	455	16	o(1	o(1	NOUN
ejpam-6024	455	17	)	)	PUNCT
ejpam-6024	455	18	)	)	PUNCT
ejpam-6024	456	1	=	=	PUNCT
ejpam-6024	457	1	−	−	NOUN
ejpam-6024	457	2	λβ	λβ	INTJ
ejpam-6024	457	3	(	(	PUNCT
ejpam-6024	457	4	1−	1−	NUM
ejpam-6024	457	5	βγ	βγ	NOUN
ejpam-6024	457	6	−	−	PROPN
ejpam-6024	457	7	βρ)(1−	βρ)(1−	PROPN
ejpam-6024	457	8	βγ	βγ	PROPN
ejpam-6024	457	9	)	)	PUNCT
ejpam-6024	457	10	(	(	PUNCT
ejpam-6024	457	11	1	1	NUM
ejpam-6024	457	12	+	+	NUM
ejpam-6024	457	13	o(1	o(1	NOUN
ejpam-6024	457	14	)	)	PUNCT
ejpam-6024	457	15	)	)	PUNCT
ejpam-6024	457	16	.	.	PUNCT
ejpam-6024	458	1	(	(	PUNCT
ejpam-6024	458	2	35	35	NUM
ejpam-6024	458	3	)	)	PUNCT
ejpam-6024	458	4	finlay	finlay	NOUN
ejpam-6024	458	5	,	,	PUNCT
ejpam-6024	458	6	form	form	NOUN
ejpam-6024	458	7	(	(	PUNCT
ejpam-6024	458	8	31	31	NUM
ejpam-6024	458	9	)	)	PUNCT
ejpam-6024	458	10	,	,	PUNCT
ejpam-6024	458	11	(	(	PUNCT
ejpam-6024	458	12	32	32	NUM
ejpam-6024	458	13	)	)	PUNCT
ejpam-6024	458	14	and	and	CCONJ
ejpam-6024	458	15	(	(	PUNCT
ejpam-6024	458	16	35	35	NUM
ejpam-6024	458	17	)	)	PUNCT
ejpam-6024	458	18	,	,	PUNCT
ejpam-6024	458	19	we	we	PRON
ejpam-6024	458	20	get	get	VERB
ejpam-6024	458	21	as	as	ADP
ejpam-6024	458	22	n	n	NOUN
ejpam-6024	458	23	→	→	SYM
ejpam-6024	458	24	∞	∞	NUM
ejpam-6024	458	25	:	:	PUNCT
ejpam-6024	458	26	√	√	PROPN
ejpam-6024	458	27	k	k	PROPN
ejpam-6024	458	28	(	(	PUNCT
ejpam-6024	458	29	π̂	π̂	X
ejpam-6024	458	30	(	(	PUNCT
ejpam-6024	458	31	k	k	NOUN
ejpam-6024	458	32	)	)	PUNCT
ejpam-6024	458	33	β	β	NOUN
ejpam-6024	458	34	,	,	PUNCT
ejpam-6024	458	35	k	k	PROPN
ejpam-6024	458	36	,	,	PUNCT
ejpam-6024	458	37	n	n	CCONJ
ejpam-6024	458	38	−	−	PROPN
ejpam-6024	458	39	πβ	πβ	NOUN
ejpam-6024	458	40	,	,	PUNCT
ejpam-6024	458	41	n	n	NOUN
ejpam-6024	458	42	)	)	PUNCT
ejpam-6024	458	43	gβ(k	gβ(k	X
ejpam-6024	458	44	/	/	SYM
ejpam-6024	458	45	n)q(1−	n)q(1−	PROPN
ejpam-6024	458	46	k	k	PROPN
ejpam-6024	458	47	/	/	SYM
ejpam-6024	458	48	n	n	CCONJ
ejpam-6024	458	49	)	)	PUNCT
ejpam-6024	458	50	d→λ	d→λ	PROPN
ejpam-6024	458	51	{	{	PUNCT
ejpam-6024	458	52	β	β	X
ejpam-6024	458	53	(	(	PUNCT
ejpam-6024	458	54	1−	1−	NUM
ejpam-6024	458	55	βγ)2	βγ)2	PROPN
ejpam-6024	458	56	∫	∫	PROPN
ejpam-6024	458	57	1	1	NUM
ejpam-6024	458	58	0	0	NUM
ejpam-6024	458	59	t−ρk(t)dt−	t−ρk(t)dt−	PROPN
ejpam-6024	458	60	β	β	X
ejpam-6024	458	61	(	(	PUNCT
ejpam-6024	458	62	1−	1−	NUM
ejpam-6024	459	1	βγ	βγ	NOUN
ejpam-6024	459	2	−	−	PROPN
ejpam-6024	459	3	βρ)(1−	βρ)(1−	PROPN
ejpam-6024	460	1	βγ	βγ	NOUN
ejpam-6024	460	2	)	)	PUNCT
ejpam-6024	460	3	}	}	PUNCT
ejpam-6024	461	1	+	+	CCONJ
ejpam-6024	461	2	γβ	γβ	NOUN
ejpam-6024	461	3	(	(	PUNCT
ejpam-6024	461	4	1−	1−	NUM
ejpam-6024	461	5	β	β	X
ejpam-6024	461	6	γ)2	γ)2	PROPN
ejpam-6024	461	7	∫	∫	PROPN
ejpam-6024	461	8	1	1	NUM
ejpam-6024	461	9	0	0	NUM
ejpam-6024	461	10	(	(	PUNCT
ejpam-6024	461	11	t−1w	t−1w	NOUN
ejpam-6024	461	12	(	(	PUNCT
ejpam-6024	461	13	t)−w	t)−w	NUM
ejpam-6024	461	14	(	(	PUNCT
ejpam-6024	461	15	1	1	NUM
ejpam-6024	461	16	)	)	PUNCT
ejpam-6024	461	17	)	)	PUNCT
ejpam-6024	461	18	d(tk(t	d(tk(t	NOUN
ejpam-6024	461	19	)	)	PUNCT
ejpam-6024	461	20	)	)	PUNCT
ejpam-6024	462	1	+	+	CCONJ
ejpam-6024	462	2	βγ2	βγ2	NOUN
ejpam-6024	462	3	1−	1−	NUM
ejpam-6024	462	4	β	β	SYM
ejpam-6024	462	5	γ	γ	X
ejpam-6024	462	6	w	w	PROPN
ejpam-6024	462	7	(	(	PUNCT
ejpam-6024	462	8	1	1	NUM
ejpam-6024	462	9	)	)	PUNCT
ejpam-6024	462	10	.	.	PUNCT
ejpam-6024	463	1	(	(	PUNCT
ejpam-6024	463	2	36	36	NUM
ejpam-6024	463	3	)	)	PUNCT
ejpam-6024	463	4	proof	proof	NOUN
ejpam-6024	463	5	of	of	ADP
ejpam-6024	463	6	corollary	corollary	ADJ
ejpam-6024	463	7	1	1	NUM
ejpam-6024	463	8	.	.	PUNCT
ejpam-6024	463	9	computing	compute	VERB
ejpam-6024	463	10	the	the	DET
ejpam-6024	463	11	variance	variance	NOUN
ejpam-6024	463	12	of	of	ADP
ejpam-6024	463	13	the	the	DET
ejpam-6024	463	14	gaussian	gaussian	ADJ
ejpam-6024	463	15	terms	term	NOUN
ejpam-6024	463	16	appeared	appear	VERB
ejpam-6024	463	17	in	in	ADP
ejpam-6024	463	18	the	the	DET
ejpam-6024	463	19	right	right	ADJ
ejpam-6024	463	20	side	side	NOUN
ejpam-6024	463	21	of	of	ADP
ejpam-6024	463	22	(	(	PUNCT
ejpam-6024	463	23	36	36	NUM
ejpam-6024	463	24	)	)	PUNCT
ejpam-6024	463	25	with	with	ADP
ejpam-6024	463	26	respect	respect	NOUN
ejpam-6024	463	27	to	to	ADP
ejpam-6024	463	28	the	the	DET
ejpam-6024	463	29	covariance	covariance	NOUN
ejpam-6024	463	30	structure	structure	NOUN
ejpam-6024	463	31	r	r	NOUN
ejpam-6024	463	32	(	(	PUNCT
ejpam-6024	463	33	.	.	PUNCT
ejpam-6024	463	34	,	,	PUNCT
ejpam-6024	463	35	.	.	PUNCT
ejpam-6024	463	36	)	)	PUNCT
ejpam-6024	463	37	,	,	PUNCT
ejpam-6024	463	38	the	the	DET
ejpam-6024	463	39	proof	proof	NOUN
ejpam-6024	463	40	of	of	ADP
ejpam-6024	463	41	corollary	corollary	ADJ
ejpam-6024	463	42	1	1	NUM
ejpam-6024	463	43	holds	hold	NOUN
ejpam-6024	463	44	.	.	PUNCT
ejpam-6024	464	1	proof	proof	NOUN
ejpam-6024	464	2	of	of	ADP
ejpam-6024	464	3	theorem	theorem	ADJ
ejpam-6024	464	4	2	2	NUM
ejpam-6024	464	5	.	.	NOUN
ejpam-6024	464	6	recall	recall	NOUN
ejpam-6024	464	7	that	that	PRON
ejpam-6024	464	8	π̃	π̃	PROPN
ejpam-6024	464	9	(	(	PUNCT
ejpam-6024	464	10	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	464	11	opt	opt	NOUN
ejpam-6024	464	12	)	)	PUNCT
ejpam-6024	464	13	β	β	X
ejpam-6024	464	14	,	,	PUNCT
ejpam-6024	464	15	k	k	NOUN
ejpam-6024	464	16	,	,	PUNCT
ejpam-6024	464	17	nρ̂	nρ̂	NOUN
ejpam-6024	464	18	:	:	PUNCT
ejpam-6024	465	1	=	=	SYM
ejpam-6024	465	2			NOUN
ejpam-6024	465	3	γ̂	γ̂	PRON
ejpam-6024	465	4	(	(	PUNCT
ejpam-6024	465	5	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	465	6	opt	opt	NOUN
ejpam-6024	465	7	)	)	PUNCT
ejpam-6024	465	8	n	n	CCONJ
ejpam-6024	465	9	,	,	PUNCT
ejpam-6024	465	10	k	k	PROPN
ejpam-6024	465	11	1	1	NUM
ejpam-6024	465	12	β	β	NOUN
ejpam-6024	465	13	−	−	PROPN
ejpam-6024	465	14	γ̂	γ̂	PUNCT
ejpam-6024	465	15	(	(	PUNCT
ejpam-6024	465	16	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	465	17	opt	opt	NOUN
ejpam-6024	465	18	)	)	PUNCT
ejpam-6024	465	19	n	n	CCONJ
ejpam-6024	465	20	,	,	PUNCT
ejpam-6024	465	21	k	k	PROPN
ejpam-6024	465	22	+	+	PROPN
ejpam-6024	465	23	ân	ân	PROPN
ejpam-6024	465	24	,	,	PUNCT
ejpam-6024	465	25	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	465	26	)	)	PUNCT
ejpam-6024	465	27	(	(	PUNCT
ejpam-6024	465	28	1	1	NUM
ejpam-6024	465	29	β	β	NOUN
ejpam-6024	465	30	−	−	PROPN
ejpam-6024	465	31	γ̂	γ̂	PUNCT
ejpam-6024	465	32	(	(	PUNCT
ejpam-6024	465	33	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	465	34	opt	opt	NOUN
ejpam-6024	465	35	)	)	PUNCT
ejpam-6024	465	36	n	n	CCONJ
ejpam-6024	465	37	,	,	PUNCT
ejpam-6024	465	38	k	k	PROPN
ejpam-6024	465	39	)	)	PUNCT
ejpam-6024	465	40	(	(	PUNCT
ejpam-6024	465	41	1−	1−	NUM
ejpam-6024	465	42	βγ̂	βγ̂	NUM
ejpam-6024	465	43	(	(	PUNCT
ejpam-6024	465	44	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	465	45	opt	opt	NOUN
ejpam-6024	465	46	)	)	PUNCT
ejpam-6024	465	47	n	n	CCONJ
ejpam-6024	465	48	,	,	PUNCT
ejpam-6024	465	49	k	k	PROPN
ejpam-6024	466	1	−	−	PROPN
ejpam-6024	467	1	βρ̂	βρ̂	PROPN
ejpam-6024	467	2	)	)	PUNCT
ejpam-6024	468	1			ADV
ejpam-6024	468	2	gβ(k	gβ(k	X
ejpam-6024	468	3	/	/	SYM
ejpam-6024	468	4	n	n	CCONJ
ejpam-6024	468	5	)	)	PUNCT
ejpam-6024	468	6	xn−k	xn−k	PROPN
ejpam-6024	468	7	,	,	PUNCT
ejpam-6024	468	8	n.	n.	NOUN
ejpam-6024	468	9	where	where	SCONJ
ejpam-6024	468	10	ân	ân	PROPN
ejpam-6024	468	11	,	,	PUNCT
ejpam-6024	468	12	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	468	13	)	)	PUNCT
ejpam-6024	468	14	:	:	PUNCT
ejpam-6024	469	1	=	=	SYM
ejpam-6024	469	2	−	−	PROPN
ejpam-6024	469	3	(	(	PUNCT
ejpam-6024	469	4	1−	1−	NUM
ejpam-6024	469	5	ρ̂)(1−	ρ̂)(1−	NOUN
ejpam-6024	469	6	2ρ̂	2ρ̂	NUM
ejpam-6024	469	7	)	)	PUNCT
ejpam-6024	469	8	ρ̂	ρ̂	NUM
ejpam-6024	469	9	2	2	NUM
ejpam-6024	469	10	{	{	PUNCT
ejpam-6024	469	11	γ̂	γ̂	X
ejpam-6024	469	12	(	(	PUNCT
ejpam-6024	469	13	k	k	NOUN
ejpam-6024	469	14	)	)	PUNCT
ejpam-6024	469	15	n	n	CCONJ
ejpam-6024	469	16	,	,	PUNCT
ejpam-6024	469	17	k	k	PROPN
ejpam-6024	469	18	−	−	PROPN
ejpam-6024	469	19	γ̂	γ̂	PUNCT
ejpam-6024	469	20	(	(	PUNCT
ejpam-6024	469	21	k2,ρ̂	k2,ρ̂	PROPN
ejpam-6024	469	22	)	)	PUNCT
ejpam-6024	469	23	n	n	CCONJ
ejpam-6024	469	24	,	,	PUNCT
ejpam-6024	469	25	k	k	PROPN
ejpam-6024	469	26	}	}	PUNCT
ejpam-6024	469	27	is	be	AUX
ejpam-6024	469	28	the	the	DET
ejpam-6024	469	29	estimator	estimator	NOUN
ejpam-6024	469	30	of	of	ADP
ejpam-6024	469	31	a(n	a(n	PROPN
ejpam-6024	469	32	/	/	SYM
ejpam-6024	469	33	k	k	NOUN
ejpam-6024	469	34	)	)	PUNCT
ejpam-6024	469	35	.	.	PUNCT
ejpam-6024	470	1	next	next	ADV
ejpam-6024	470	2	,	,	PUNCT
ejpam-6024	470	3	as	as	ADP
ejpam-6024	470	4	in	in	ADP
ejpam-6024	470	5	the	the	DET
ejpam-6024	470	6	proof	proof	NOUN
ejpam-6024	470	7	of	of	ADP
ejpam-6024	470	8	theorem	theorem	NOUN
ejpam-6024	470	9	1	1	NUM
ejpam-6024	470	10	,	,	PUNCT
ejpam-6024	470	11	we	we	PRON
ejpam-6024	470	12	have	have	AUX
ejpam-6024	470	13	π̂	π̂	VERB
ejpam-6024	470	14	(	(	PUNCT
ejpam-6024	470	15	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	470	16	opt	opt	NOUN
ejpam-6024	470	17	)	)	PUNCT
ejpam-6024	470	18	β	β	X
ejpam-6024	470	19	,	,	PUNCT
ejpam-6024	470	20	r	r	NOUN
ejpam-6024	470	21	−	−	NOUN
ejpam-6024	470	22	πβ	πβ	NOUN
ejpam-6024	470	23	,	,	PUNCT
ejpam-6024	470	24	n	n	NOUN
ejpam-6024	470	25	=	=	PUNCT
ejpam-6024	470	26	h1	h1	PROPN
ejpam-6024	470	27	+	+	NOUN
ejpam-6024	470	28	h2	h2	NOUN
ejpam-6024	470	29	+	+	NOUN
ejpam-6024	470	30	h3	h3	NOUN
ejpam-6024	470	31	with	with	ADP
ejpam-6024	470	32	h1	h1	NOUN
ejpam-6024	470	33	=	=	SYM
ejpam-6024	470	34			PROPN
ejpam-6024	470	35	π̂	π̂	NUM
ejpam-6024	470	36	(	(	PUNCT
ejpam-6024	470	37	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	470	38	opt	opt	NOUN
ejpam-6024	470	39	)	)	PUNCT
ejpam-6024	470	40	1	1	NUM
ejpam-6024	470	41	β	β	SYM
ejpam-6024	470	42	−	−	PROPN
ejpam-6024	470	43	π̂	π̂	PUNCT
ejpam-6024	470	44	(	(	PUNCT
ejpam-6024	470	45	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	470	46	opt	opt	NOUN
ejpam-6024	470	47	)	)	PUNCT
ejpam-6024	470	48	−	−	PROPN
ejpam-6024	471	1	γ	γ	X
ejpam-6024	471	2	1	1	NUM
ejpam-6024	471	3	β	β	NOUN
ejpam-6024	471	4	−	−	PROPN
ejpam-6024	471	5	γ	γ	X
ejpam-6024	471	6			PROPN
ejpam-6024	471	7	gβ(k	gβ(k	X
ejpam-6024	471	8	/	/	SYM
ejpam-6024	471	9	n)xn−k	n)xn−k	NOUN
ejpam-6024	471	10	,	,	PUNCT
ejpam-6024	471	11	n	n	PRON
ejpam-6024	471	12	h2	h2	NOUN
ejpam-6024	471	13	=	=	SYM
ejpam-6024	471	14	γ	γ	X
ejpam-6024	471	15	1	1	NUM
ejpam-6024	471	16	β	β	NOUN
ejpam-6024	471	17	−	−	PROPN
ejpam-6024	471	18	γ	γ	X
ejpam-6024	471	19	(	(	PUNCT
ejpam-6024	471	20	xn−k	xn−k	PROPN
ejpam-6024	471	21	,	,	PUNCT
ejpam-6024	471	22	n	n	PRON
ejpam-6024	471	23	q(1−	q(1−	NOUN
ejpam-6024	471	24	k	k	NOUN
ejpam-6024	471	25	/	/	SYM
ejpam-6024	471	26	n	n	CCONJ
ejpam-6024	471	27	)	)	PUNCT
ejpam-6024	471	28	−	−	PROPN
ejpam-6024	471	29	1	1	NUM
ejpam-6024	471	30	)	)	PUNCT
ejpam-6024	471	31	gβ(k	gβ(k	X
ejpam-6024	471	32	/	/	SYM
ejpam-6024	471	33	n)q(1−	n)q(1−	PROPN
ejpam-6024	471	34	k	k	PROPN
ejpam-6024	471	35	/	/	SYM
ejpam-6024	471	36	n	n	CCONJ
ejpam-6024	471	37	)	)	PUNCT
ejpam-6024	471	38	h3	h3	NOUN
ejpam-6024	471	39	=	=	SYM
ejpam-6024	471	40	γ	γ	X
ejpam-6024	471	41	1	1	NUM
ejpam-6024	471	42	β	β	NOUN
ejpam-6024	471	43	−	−	NOUN
ejpam-6024	471	44	γ	γ	X
ejpam-6024	471	45	gβ(k	gβ(k	X
ejpam-6024	471	46	/	/	SYM
ejpam-6024	471	47	n)q(1−	n)q(1−	PROPN
ejpam-6024	471	48	k	k	PROPN
ejpam-6024	471	49	/	/	SYM
ejpam-6024	471	50	n)−	n)−	PROPN
ejpam-6024	471	51	∫	∫	PROPN
ejpam-6024	471	52	∞	∞	NUM
ejpam-6024	471	53	q(1−k	q(1−k	PROPN
ejpam-6024	471	54	/	/	SYM
ejpam-6024	471	55	n	n	CCONJ
ejpam-6024	471	56	)	)	PUNCT
ejpam-6024	471	57	gβ(f	gβ(f	PUNCT
ejpam-6024	471	58	(	(	PUNCT
ejpam-6024	471	59	x))dx	x))dx	VERB
ejpam-6024	471	60	h4	h4	X
ejpam-6024	471	61	=	=	SYM
ejpam-6024	471	62	ân	ân	PROPN
ejpam-6024	471	63	,	,	PUNCT
ejpam-6024	471	64	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	471	65	)	)	PUNCT
ejpam-6024	471	66	(	(	PUNCT
ejpam-6024	471	67	1	1	NUM
ejpam-6024	471	68	β	β	NOUN
ejpam-6024	471	69	−	−	PROPN
ejpam-6024	471	70	γ̂	γ̂	PUNCT
ejpam-6024	472	1	(	(	PUNCT
ejpam-6024	472	2	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	472	3	opt	opt	NOUN
ejpam-6024	472	4	)	)	PUNCT
ejpam-6024	472	5	n	n	CCONJ
ejpam-6024	472	6	,	,	PUNCT
ejpam-6024	472	7	k	k	PROPN
ejpam-6024	472	8	)	)	PUNCT
ejpam-6024	472	9	(	(	PUNCT
ejpam-6024	472	10	1−	1−	NUM
ejpam-6024	472	11	βγ̂	βγ̂	NUM
ejpam-6024	472	12	(	(	PUNCT
ejpam-6024	472	13	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	472	14	opt	opt	NOUN
ejpam-6024	472	15	)	)	PUNCT
ejpam-6024	472	16	n	n	CCONJ
ejpam-6024	472	17	,	,	PUNCT
ejpam-6024	472	18	k	k	PROPN
ejpam-6024	472	19	−	−	PROPN
ejpam-6024	472	20	βρ̂	βρ̂	PROPN
ejpam-6024	472	21	)	)	PUNCT
ejpam-6024	472	22	gβ(k	gβ(k	X
ejpam-6024	472	23	/	/	SYM
ejpam-6024	472	24	n	n	CCONJ
ejpam-6024	472	25	)	)	PUNCT
ejpam-6024	472	26	xn−k	xn−k	PROPN
ejpam-6024	472	27	,	,	PUNCT
ejpam-6024	472	28	n.	n.	NOUN
ejpam-6024	472	29	under	under	ADP
ejpam-6024	472	30	assumptions	assumption	NOUN
ejpam-6024	472	31	and	and	CCONJ
ejpam-6024	472	32	for	for	ADP
ejpam-6024	472	33	all	all	DET
ejpam-6024	472	34	n	n	ADV
ejpam-6024	472	35	large	large	ADJ
ejpam-6024	472	36	enough	enough	ADV
ejpam-6024	472	37	,	,	PUNCT
ejpam-6024	472	38	we	we	PRON
ejpam-6024	472	39	have	have	VERB
ejpam-6024	472	40	from	from	ADP
ejpam-6024	472	41	(	(	PUNCT
ejpam-6024	472	42	23	23	NUM
ejpam-6024	472	43	)	)	PUNCT
ejpam-6024	472	44	,	,	PUNCT
ejpam-6024	472	45	√	√	PROPN
ejpam-6024	473	1	k	k	PROPN
ejpam-6024	473	2	(	(	PUNCT
ejpam-6024	473	3	γ̂	γ̂	X
ejpam-6024	473	4	(	(	PUNCT
ejpam-6024	473	5	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	473	6	opt	opt	NOUN
ejpam-6024	473	7	)	)	PUNCT
ejpam-6024	474	1	k	k	NOUN
ejpam-6024	474	2	−	−	PROPN
ejpam-6024	474	3	γ	γ	X
ejpam-6024	474	4	)	)	PUNCT
ejpam-6024	475	1	d	d	NOUN
ejpam-6024	475	2	=	=	PUNCT
ejpam-6024	475	3	γ	γ	X
ejpam-6024	475	4	∫	∫	PROPN
ejpam-6024	475	5	1	1	NUM
ejpam-6024	475	6	0	0	NUM
ejpam-6024	475	7	(	(	PUNCT
ejpam-6024	475	8	t−1w	t−1w	NOUN
ejpam-6024	475	9	(	(	PUNCT
ejpam-6024	475	10	t)−w	t)−w	NUM
ejpam-6024	475	11	(	(	PUNCT
ejpam-6024	475	12	1	1	NUM
ejpam-6024	475	13	)	)	PUNCT
ejpam-6024	475	14	)	)	PUNCT
ejpam-6024	476	1	d(tk∆∗	d(tk∆∗	NOUN
ejpam-6024	476	2	opt	opt	NOUN
ejpam-6024	476	3	(	(	PUNCT
ejpam-6024	476	4	t	t	NOUN
ejpam-6024	476	5	)	)	PUNCT
ejpam-6024	476	6	)	)	PUNCT
ejpam-6024	476	7	{	{	PUNCT
ejpam-6024	476	8	1	1	NUM
ejpam-6024	476	9	+	+	NUM
ejpam-6024	476	10	op(1	op(1	NOUN
ejpam-6024	476	11	)	)	PUNCT
ejpam-6024	476	12	}	}	PUNCT
ejpam-6024	476	13	.	.	PUNCT
ejpam-6024	477	1	(	(	PUNCT
ejpam-6024	477	2	37	37	NUM
ejpam-6024	477	3	)	)	PUNCT
ejpam-6024	477	4	a.	a.	NOUN
ejpam-6024	477	5	aghrabatt	aghrabatt	NOUN
ejpam-6024	477	6	et	et	PROPN
ejpam-6024	477	7	al	al	PROPN
ejpam-6024	477	8	.	.	PUNCT
ejpam-6024	477	9	/	/	SYM
ejpam-6024	477	10	eur	eur	PROPN
ejpam-6024	477	11	.	.	PUNCT
ejpam-6024	478	1	j.	j.	PROPN
ejpam-6024	478	2	pure	pure	PROPN
ejpam-6024	478	3	appl	appl	PROPN
ejpam-6024	478	4	.	.	PROPN
ejpam-6024	478	5	math	math	PROPN
ejpam-6024	478	6	,	,	PUNCT
ejpam-6024	478	7	18	18	NUM
ejpam-6024	478	8	(	(	PUNCT
ejpam-6024	478	9	2	2	NUM
ejpam-6024	478	10	)	)	PUNCT
ejpam-6024	478	11	(	(	PUNCT
ejpam-6024	478	12	2025	2025	NUM
ejpam-6024	478	13	)	)	PUNCT
ejpam-6024	478	14	,	,	PUNCT
ejpam-6024	478	15	6024	6024	NUM
ejpam-6024	478	16	23	23	NUM
ejpam-6024	478	17	of	of	ADP
ejpam-6024	478	18	25	25	NUM
ejpam-6024	478	19	therefore	therefore	ADV
ejpam-6024	478	20	,	,	PUNCT
ejpam-6024	478	21	using	use	VERB
ejpam-6024	478	22	the	the	DET
ejpam-6024	478	23	delta	delta	NOUN
ejpam-6024	478	24	-	-	PUNCT
ejpam-6024	478	25	method	method	NOUN
ejpam-6024	478	26	procedure	procedure	NOUN
ejpam-6024	478	27	,	,	PUNCT
ejpam-6024	478	28	we	we	PRON
ejpam-6024	478	29	get	get	VERB
ejpam-6024	478	30	for	for	ADP
ejpam-6024	478	31	all	all	DET
ejpam-6024	478	32	n	n	ADV
ejpam-6024	478	33	large	large	ADJ
ejpam-6024	478	34	enough	enough	ADV
ejpam-6024	478	35	:	:	PUNCT
ejpam-6024	478	36	h1	h1	VERB
ejpam-6024	478	37	d	d	NOUN
ejpam-6024	478	38	=	=	PUNCT
ejpam-6024	478	39	(	(	PUNCT
ejpam-6024	478	40	1	1	NUM
ejpam-6024	478	41	+	+	CCONJ
ejpam-6024	478	42	op(1	op(1	NOUN
ejpam-6024	478	43	)	)	PUNCT
ejpam-6024	478	44	)	)	PUNCT
ejpam-6024	478	45	β	β	X
ejpam-6024	478	46	(	(	PUNCT
ejpam-6024	478	47	1−	1−	NUM
ejpam-6024	478	48	β	β	PROPN
ejpam-6024	478	49	γ)2	γ)2	PROPN
ejpam-6024	478	50	k−1/2gβ(k	k−1/2gβ(k	PROPN
ejpam-6024	478	51	/	/	SYM
ejpam-6024	478	52	n)xn−k	n)xn−k	PROPN
ejpam-6024	478	53	,	,	PUNCT
ejpam-6024	478	54	n	n	CCONJ
ejpam-6024	478	55	{	{	PUNCT
ejpam-6024	478	56	γ	γ	X
ejpam-6024	478	57	∫	∫	PROPN
ejpam-6024	478	58	1	1	NUM
ejpam-6024	478	59	0	0	NUM
ejpam-6024	478	60	(	(	PUNCT
ejpam-6024	478	61	t−1w	t−1w	NOUN
ejpam-6024	478	62	(	(	PUNCT
ejpam-6024	478	63	t)−w	t)−w	NUM
ejpam-6024	478	64	(	(	PUNCT
ejpam-6024	478	65	1	1	NUM
ejpam-6024	478	66	)	)	PUNCT
ejpam-6024	478	67	)	)	PUNCT
ejpam-6024	478	68	d(tk∆̂∗	d(tk∆̂∗	ADJ
ejpam-6024	478	69	opt	opt	NOUN
ejpam-6024	478	70	(	(	PUNCT
ejpam-6024	478	71	t	t	NOUN
ejpam-6024	478	72	)	)	PUNCT
ejpam-6024	478	73	)	)	PUNCT
ejpam-6024	478	74	)	)	PUNCT
ejpam-6024	478	75	}	}	PUNCT
ejpam-6024	478	76	,	,	PUNCT
ejpam-6024	478	77	next	next	ADV
ejpam-6024	478	78	,	,	PUNCT
ejpam-6024	478	79	using	use	VERB
ejpam-6024	478	80	(	(	PUNCT
ejpam-6024	478	81	30	30	NUM
ejpam-6024	478	82	)	)	PUNCT
ejpam-6024	478	83	,	,	PUNCT
ejpam-6024	478	84	we	we	PRON
ejpam-6024	478	85	have	have	AUX
ejpam-6024	478	86	implies	imply	VERB
ejpam-6024	478	87	xn−k	xn−k	PROPN
ejpam-6024	478	88	,	,	PUNCT
ejpam-6024	478	89	n	n	CCONJ
ejpam-6024	478	90	/	/	SYM
ejpam-6024	478	91	q(1−	q(1−	NOUN
ejpam-6024	478	92	k	k	NOUN
ejpam-6024	478	93	/	/	SYM
ejpam-6024	478	94	n	n	CCONJ
ejpam-6024	478	95	)	)	PUNCT
ejpam-6024	478	96	=	=	SYM
ejpam-6024	478	97	1	1	NUM
ejpam-6024	478	98	+	+	CCONJ
ejpam-6024	478	99	op(1	op(1	NOUN
ejpam-6024	478	100	)	)	PUNCT
ejpam-6024	478	101	,	,	PUNCT
ejpam-6024	478	102	as	as	ADP
ejpam-6024	478	103	n	n	X
ejpam-6024	478	104	→	→	SYM
ejpam-6024	478	105	∞	∞	NUM
ejpam-6024	478	106	and	and	CCONJ
ejpam-6024	478	107	√	√	ADV
ejpam-6024	478	108	kh1	kh1	PROPN
ejpam-6024	478	109	gβ(k	gβ(k	X
ejpam-6024	478	110	/	/	SYM
ejpam-6024	478	111	n)q(1−	n)q(1−	PROPN
ejpam-6024	478	112	k	k	PROPN
ejpam-6024	478	113	/	/	SYM
ejpam-6024	478	114	n	n	CCONJ
ejpam-6024	478	115	)	)	PUNCT
ejpam-6024	478	116	d	d	NOUN
ejpam-6024	478	117	=	=	SYM
ejpam-6024	478	118	(	(	PUNCT
ejpam-6024	478	119	1	1	NUM
ejpam-6024	478	120	+	+	CCONJ
ejpam-6024	478	121	op(1	op(1	NOUN
ejpam-6024	478	122	)	)	PUNCT
ejpam-6024	478	123	)	)	PUNCT
ejpam-6024	479	1	γβ	γβ	ADP
ejpam-6024	479	2	(	(	PUNCT
ejpam-6024	479	3	1−	1−	NUM
ejpam-6024	479	4	β	β	X
ejpam-6024	479	5	γ)2	γ)2	PROPN
ejpam-6024	479	6	∫	∫	PROPN
ejpam-6024	479	7	1	1	NUM
ejpam-6024	479	8	0	0	NUM
ejpam-6024	479	9	(	(	PUNCT
ejpam-6024	479	10	t−1w	t−1w	NOUN
ejpam-6024	479	11	(	(	PUNCT
ejpam-6024	479	12	t)−w	t)−w	NUM
ejpam-6024	479	13	(	(	PUNCT
ejpam-6024	479	14	1	1	NUM
ejpam-6024	479	15	)	)	PUNCT
ejpam-6024	479	16	)	)	PUNCT
ejpam-6024	480	1	d(tk∆̂∗	d(tk∆̂∗	ADJ
ejpam-6024	480	2	opt	opt	NOUN
ejpam-6024	480	3	(	(	PUNCT
ejpam-6024	480	4	t	t	NOUN
ejpam-6024	480	5	)	)	PUNCT
ejpam-6024	480	6	)	)	PUNCT
ejpam-6024	480	7	,	,	PUNCT
ejpam-6024	480	8	(	(	PUNCT
ejpam-6024	480	9	38	38	NUM
ejpam-6024	480	10	)	)	PUNCT
ejpam-6024	480	11	as	as	ADP
ejpam-6024	480	12	n	n	PROPN
ejpam-6024	480	13	→	→	SYM
ejpam-6024	480	14	∞.	∞.	PROPN
ejpam-6024	480	15	similarly	similarly	ADV
ejpam-6024	480	16	,	,	PUNCT
ejpam-6024	480	17	we	we	PRON
ejpam-6024	480	18	have	have	VERB
ejpam-6024	480	19	for	for	ADP
ejpam-6024	480	20	all	all	DET
ejpam-6024	480	21	n	n	ADV
ejpam-6024	480	22	large	large	ADJ
ejpam-6024	480	23	enough	enough	ADV
ejpam-6024	480	24	:	:	PUNCT
ejpam-6024	480	25	√	√	PROPN
ejpam-6024	480	26	kh2	kh2	PROPN
ejpam-6024	480	27	gβ(k	gβ(k	X
ejpam-6024	480	28	/	/	SYM
ejpam-6024	480	29	n)q(1−	n)q(1−	PROPN
ejpam-6024	480	30	k	k	PROPN
ejpam-6024	480	31	/	/	SYM
ejpam-6024	480	32	n	n	CCONJ
ejpam-6024	480	33	)	)	PUNCT
ejpam-6024	480	34	d	d	NOUN
ejpam-6024	480	35	=	=	SYM
ejpam-6024	480	36	(	(	PUNCT
ejpam-6024	480	37	1	1	NUM
ejpam-6024	480	38	+	+	CCONJ
ejpam-6024	480	39	op(1	op(1	NOUN
ejpam-6024	480	40	)	)	PUNCT
ejpam-6024	480	41	)	)	PUNCT
ejpam-6024	481	1	γβ	γβ	ADP
ejpam-6024	481	2	1−	1−	NUM
ejpam-6024	481	3	β	β	SYM
ejpam-6024	481	4	γ	γ	X
ejpam-6024	481	5	√	√	PROPN
ejpam-6024	481	6	k	k	PROPN
ejpam-6024	481	7	(	(	PUNCT
ejpam-6024	481	8	xn−k	xn−k	PROPN
ejpam-6024	481	9	,	,	PUNCT
ejpam-6024	481	10	n	n	PRON
ejpam-6024	481	11	q(1−	q(1−	NOUN
ejpam-6024	481	12	k	k	NOUN
ejpam-6024	481	13	/	/	SYM
ejpam-6024	481	14	n	n	CCONJ
ejpam-6024	481	15	)	)	PUNCT
ejpam-6024	481	16	−	−	PROPN
ejpam-6024	481	17	1	1	NUM
ejpam-6024	481	18	)	)	PUNCT
ejpam-6024	481	19	.	.	PUNCT
ejpam-6024	482	1	using	use	VERB
ejpam-6024	482	2	again	again	ADV
ejpam-6024	482	3	(	(	PUNCT
ejpam-6024	482	4	30	30	NUM
ejpam-6024	482	5	)	)	PUNCT
ejpam-6024	482	6	,	,	PUNCT
ejpam-6024	482	7	we	we	PRON
ejpam-6024	482	8	get	get	VERB
ejpam-6024	482	9	:	:	PUNCT
ejpam-6024	482	10	√	√	PROPN
ejpam-6024	482	11	kh2	kh2	PROPN
ejpam-6024	482	12	gβ(k	gβ(k	X
ejpam-6024	482	13	/	/	SYM
ejpam-6024	482	14	n)q(1−	n)q(1−	PROPN
ejpam-6024	482	15	k	k	PROPN
ejpam-6024	482	16	/	/	SYM
ejpam-6024	482	17	n	n	CCONJ
ejpam-6024	482	18	)	)	PUNCT
ejpam-6024	483	1	d	d	NOUN
ejpam-6024	483	2	=	=	SYM
ejpam-6024	483	3	(	(	PUNCT
ejpam-6024	483	4	1	1	NUM
ejpam-6024	483	5	+	+	CCONJ
ejpam-6024	483	6	op(1	op(1	NOUN
ejpam-6024	483	7	)	)	PUNCT
ejpam-6024	483	8	)	)	PUNCT
ejpam-6024	484	1	βγ2	βγ2	PROPN
ejpam-6024	485	1	1−	1−	NUM
ejpam-6024	485	2	β	β	SYM
ejpam-6024	485	3	γ	γ	X
ejpam-6024	485	4	w	w	PROPN
ejpam-6024	485	5	(	(	PUNCT
ejpam-6024	485	6	1	1	NUM
ejpam-6024	485	7	)	)	PUNCT
ejpam-6024	485	8	.	.	PUNCT
ejpam-6024	486	1	(	(	PUNCT
ejpam-6024	486	2	39	39	NUM
ejpam-6024	486	3	)	)	PUNCT
ejpam-6024	486	4	for	for	ADP
ejpam-6024	486	5	the	the	DET
ejpam-6024	486	6	term	term	NOUN
ejpam-6024	486	7	h3	h3	NOUN
ejpam-6024	486	8	,	,	PUNCT
ejpam-6024	486	9	we	we	PRON
ejpam-6024	486	10	note	note	VERB
ejpam-6024	486	11	that	that	SCONJ
ejpam-6024	486	12	it	it	PRON
ejpam-6024	486	13	is	be	AUX
ejpam-6024	486	14	exactly	exactly	ADV
ejpam-6024	486	15	equal	equal	ADJ
ejpam-6024	486	16	to	to	ADP
ejpam-6024	486	17	the	the	DET
ejpam-6024	486	18	term	term	NOUN
ejpam-6024	486	19	a3	a3	NOUN
ejpam-6024	486	20	in	in	ADP
ejpam-6024	486	21	the	the	DET
ejpam-6024	486	22	proof	proof	NOUN
ejpam-6024	486	23	of	of	ADP
ejpam-6024	486	24	the	the	DET
ejpam-6024	486	25	theorem	theorem	NOUN
ejpam-6024	486	26	1	1	X
ejpam-6024	486	27	.	.	PUNCT
ejpam-6024	486	28	therefore	therefore	ADV
ejpam-6024	486	29	,	,	PUNCT
ejpam-6024	486	30	using	use	VERB
ejpam-6024	486	31	the	the	DET
ejpam-6024	486	32	statement	statement	NOUN
ejpam-6024	486	33	in	in	ADP
ejpam-6024	486	34	(	(	PUNCT
ejpam-6024	486	35	35	35	NUM
ejpam-6024	486	36	)	)	PUNCT
ejpam-6024	486	37	,	,	PUNCT
ejpam-6024	486	38	we	we	PRON
ejpam-6024	486	39	have	have	VERB
ejpam-6024	486	40	for	for	ADP
ejpam-6024	486	41	all	all	DET
ejpam-6024	486	42	values	value	NOUN
ejpam-6024	486	43	of	of	ADP
ejpam-6024	486	44	n	n	CCONJ
ejpam-6024	486	45	large	large	ADJ
ejpam-6024	486	46	enough	enough	ADV
ejpam-6024	486	47	,	,	PUNCT
ejpam-6024	487	1	√	√	PROPN
ejpam-6024	487	2	kh3	kh3	PROPN
ejpam-6024	487	3	gβ(k	gβ(k	PROPN
ejpam-6024	487	4	/	/	SYM
ejpam-6024	487	5	n)q(1−	n)q(1−	PROPN
ejpam-6024	487	6	k	k	PROPN
ejpam-6024	487	7	/	/	SYM
ejpam-6024	487	8	n	n	CCONJ
ejpam-6024	487	9	)	)	PUNCT
ejpam-6024	487	10	=	=	SYM
ejpam-6024	487	11	−	−	PROPN
ejpam-6024	488	1	√	√	NUM
ejpam-6024	488	2	ka(n	ka(n	NUM
ejpam-6024	488	3	/	/	SYM
ejpam-6024	488	4	k	k	NOUN
ejpam-6024	488	5	)	)	PUNCT
ejpam-6024	488	6	β	β	NOUN
ejpam-6024	488	7	(	(	PUNCT
ejpam-6024	488	8	1−	1−	NUM
ejpam-6024	488	9	βγ)(1−	βγ)(1−	PUNCT
ejpam-6024	489	1	βγ	βγ	NUM
ejpam-6024	489	2	−	−	NOUN
ejpam-6024	490	1	βρ	βρ	NOUN
ejpam-6024	490	2	)	)	PUNCT
ejpam-6024	490	3	(	(	PUNCT
ejpam-6024	490	4	1	1	NUM
ejpam-6024	490	5	+	+	NUM
ejpam-6024	490	6	o(1	o(1	NOUN
ejpam-6024	490	7	)	)	PUNCT
ejpam-6024	490	8	)	)	PUNCT
ejpam-6024	490	9	.	.	PUNCT
ejpam-6024	491	1	(	(	PUNCT
ejpam-6024	491	2	40	40	NUM
ejpam-6024	491	3	)	)	PUNCT
ejpam-6024	491	4	now	now	ADV
ejpam-6024	491	5	,	,	PUNCT
ejpam-6024	491	6	for	for	ADP
ejpam-6024	491	7	the	the	DET
ejpam-6024	491	8	term	term	NOUN
ejpam-6024	491	9	h4	h4	PROPN
ejpam-6024	491	10	,	,	PUNCT
ejpam-6024	491	11	using	use	VERB
ejpam-6024	491	12	the	the	DET
ejpam-6024	491	13	fact	fact	NOUN
ejpam-6024	491	14	that	that	SCONJ
ejpam-6024	491	15	xn−k	xn−k	PROPN
ejpam-6024	491	16	,	,	PUNCT
ejpam-6024	491	17	n	n	CCONJ
ejpam-6024	491	18	/	/	SYM
ejpam-6024	491	19	q(1−	q(1−	NOUN
ejpam-6024	491	20	k	k	NOUN
ejpam-6024	491	21	/	/	SYM
ejpam-6024	491	22	n	n	CCONJ
ejpam-6024	491	23	)	)	PUNCT
ejpam-6024	491	24	=	=	SYM
ejpam-6024	491	25	1	1	NUM
ejpam-6024	491	26	+	+	NUM
ejpam-6024	491	27	op(1	op(1	NOUN
ejpam-6024	491	28	)	)	PUNCT
ejpam-6024	491	29	,	,	PUNCT
ejpam-6024	491	30	we	we	PRON
ejpam-6024	491	31	have	have	AUX
ejpam-6024	491	32	√	√	NUM
ejpam-6024	491	33	kh4	kh4	NOUN
ejpam-6024	491	34	gβ(k	gβ(k	X
ejpam-6024	491	35	/	/	SYM
ejpam-6024	491	36	n)q(1−	n)q(1−	PROPN
ejpam-6024	491	37	k	k	PROPN
ejpam-6024	491	38	/	/	SYM
ejpam-6024	491	39	n	n	CCONJ
ejpam-6024	491	40	)	)	PUNCT
ejpam-6024	491	41	=	=	SYM
ejpam-6024	492	1	√	√	PROPN
ejpam-6024	492	2	k	k	PROPN
ejpam-6024	492	3	ân	ân	PROPN
ejpam-6024	492	4	,	,	PUNCT
ejpam-6024	492	5	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	492	6	)	)	PUNCT
ejpam-6024	492	7	β	β	PROPN
ejpam-6024	492	8	(	(	PUNCT
ejpam-6024	492	9	1−	1−	NUM
ejpam-6024	492	10	β	β	X
ejpam-6024	492	11	γ̂	γ̂	PRON
ejpam-6024	492	12	(	(	PUNCT
ejpam-6024	492	13	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	492	14	opt	opt	NOUN
ejpam-6024	492	15	)	)	PUNCT
ejpam-6024	492	16	n	n	CCONJ
ejpam-6024	492	17	,	,	PUNCT
ejpam-6024	492	18	k	k	PROPN
ejpam-6024	492	19	)	)	PUNCT
ejpam-6024	492	20	(	(	PUNCT
ejpam-6024	492	21	1−	1−	NUM
ejpam-6024	492	22	β	β	X
ejpam-6024	492	23	γ̂	γ̂	PRON
ejpam-6024	492	24	(	(	PUNCT
ejpam-6024	492	25	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	492	26	opt	opt	NOUN
ejpam-6024	492	27	)	)	PUNCT
ejpam-6024	492	28	n	n	CCONJ
ejpam-6024	492	29	,	,	PUNCT
ejpam-6024	492	30	k	k	PROPN
ejpam-6024	492	31	−	−	PROPN
ejpam-6024	492	32	β	β	NOUN
ejpam-6024	492	33	ρ̂	ρ̂	NUM
ejpam-6024	492	34	)	)	PUNCT
ejpam-6024	492	35	(	(	PUNCT
ejpam-6024	492	36	1	1	NUM
ejpam-6024	492	37	+	+	CCONJ
ejpam-6024	492	38	op(1	op(1	NOUN
ejpam-6024	492	39	)	)	PUNCT
ejpam-6024	492	40	)	)	PUNCT
ejpam-6024	492	41	.	.	PUNCT
ejpam-6024	493	1	since	since	SCONJ
ejpam-6024	493	2	γ̂	γ̂	X
ejpam-6024	493	3	(	(	PUNCT
ejpam-6024	493	4	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	493	5	opt	opt	NOUN
ejpam-6024	493	6	)	)	PUNCT
ejpam-6024	493	7	k	k	PROPN
ejpam-6024	493	8	and	and	CCONJ
ejpam-6024	493	9	ρ̂	ρ̂	NUM
ejpam-6024	493	10	:	:	PUNCT
ejpam-6024	493	11	=	=	SYM
ejpam-6024	493	12	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	493	13	are	be	AUX
ejpam-6024	493	14	respectively	respectively	ADV
ejpam-6024	493	15	consistent	consistent	ADJ
ejpam-6024	493	16	to	to	ADP
ejpam-6024	493	17	γ	γ	PROPN
ejpam-6024	493	18	and	and	CCONJ
ejpam-6024	493	19	ρ	ρ	PROPN
ejpam-6024	493	20	,	,	PUNCT
ejpam-6024	493	21	we	we	PRON
ejpam-6024	493	22	obtain	obtain	VERB
ejpam-6024	493	23	:	:	PUNCT
ejpam-6024	493	24	√	√	PUNCT
ejpam-6024	493	25	kh4	kh4	NOUN
ejpam-6024	493	26	gβ(k	gβ(k	X
ejpam-6024	493	27	/	/	SYM
ejpam-6024	493	28	n)q(1−	n)q(1−	PROPN
ejpam-6024	493	29	k	k	PROPN
ejpam-6024	493	30	/	/	SYM
ejpam-6024	493	31	n	n	CCONJ
ejpam-6024	493	32	)	)	PUNCT
ejpam-6024	493	33	d	d	NOUN
ejpam-6024	493	34	=	=	PUNCT
ejpam-6024	494	1	√	√	PROPN
ejpam-6024	494	2	k	k	PROPN
ejpam-6024	494	3	ân	ân	PROPN
ejpam-6024	494	4	,	,	PUNCT
ejpam-6024	494	5	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	494	6	)	)	PUNCT
ejpam-6024	494	7	β	β	PROPN
ejpam-6024	494	8	(	(	PUNCT
ejpam-6024	494	9	1−	1−	NUM
ejpam-6024	494	10	β	β	NOUN
ejpam-6024	494	11	γ)(1−	γ)(1−	PROPN
ejpam-6024	494	12	β	β	X
ejpam-6024	494	13	γ	γ	X
ejpam-6024	494	14	−	−	PROPN
ejpam-6024	494	15	β	β	PROPN
ejpam-6024	494	16	ρ	ρ	PROPN
ejpam-6024	494	17	)	)	PUNCT
ejpam-6024	494	18	(	(	PUNCT
ejpam-6024	494	19	1	1	NUM
ejpam-6024	494	20	+	+	CCONJ
ejpam-6024	494	21	op(1	op(1	NOUN
ejpam-6024	494	22	)	)	PUNCT
ejpam-6024	494	23	)	)	PUNCT
ejpam-6024	494	24	.	.	PUNCT
ejpam-6024	495	1	(	(	PUNCT
ejpam-6024	495	2	41	41	NUM
ejpam-6024	495	3	)	)	PUNCT
ejpam-6024	495	4	hence	hence	ADV
ejpam-6024	495	5	,	,	PUNCT
ejpam-6024	495	6	from	from	ADP
ejpam-6024	495	7	(	(	PUNCT
ejpam-6024	495	8	40	40	NUM
ejpam-6024	495	9	)	)	PUNCT
ejpam-6024	495	10	and	and	CCONJ
ejpam-6024	495	11	(	(	PUNCT
ejpam-6024	495	12	41	41	NUM
ejpam-6024	495	13	)	)	PUNCT
ejpam-6024	495	14	,	,	PUNCT
ejpam-6024	495	15	we	we	PRON
ejpam-6024	495	16	get	get	VERB
ejpam-6024	495	17	for	for	ADP
ejpam-6024	495	18	all	all	DET
ejpam-6024	495	19	large	large	ADJ
ejpam-6024	495	20	n	n	CCONJ
ejpam-6024	495	21	,	,	PUNCT
ejpam-6024	495	22	√	√	PROPN
ejpam-6024	495	23	k(h3	k(h3	NOUN
ejpam-6024	496	1	+	+	NOUN
ejpam-6024	496	2	h4	h4	NOUN
ejpam-6024	496	3	)	)	PUNCT
ejpam-6024	496	4	gβ(k	gβ(k	X
ejpam-6024	496	5	/	/	SYM
ejpam-6024	496	6	n)q(1−	n)q(1−	PROPN
ejpam-6024	496	7	k	k	PROPN
ejpam-6024	496	8	/	/	SYM
ejpam-6024	496	9	n	n	CCONJ
ejpam-6024	496	10	)	)	PUNCT
ejpam-6024	496	11	=	=	SYM
ejpam-6024	497	1	√	√	PROPN
ejpam-6024	497	2	k	k	NOUN
ejpam-6024	497	3	(	(	PUNCT
ejpam-6024	497	4	ân	ân	PROPN
ejpam-6024	497	5	,	,	PUNCT
ejpam-6024	497	6	k(ρ̂)−a(n	k(ρ̂)−a(n	PROPN
ejpam-6024	497	7	/	/	SYM
ejpam-6024	497	8	k	k	NOUN
ejpam-6024	497	9	)	)	PUNCT
ejpam-6024	497	10	)	)	PUNCT
ejpam-6024	498	1	β	β	X
ejpam-6024	498	2	(	(	PUNCT
ejpam-6024	498	3	1−	1−	NUM
ejpam-6024	498	4	βγ)(1−	βγ)(1−	PUNCT
ejpam-6024	498	5	β	β	X
ejpam-6024	498	6	γ	γ	X
ejpam-6024	498	7	−	−	PROPN
ejpam-6024	498	8	β	β	PROPN
ejpam-6024	498	9	ρ	ρ	PROPN
ejpam-6024	498	10	)	)	PUNCT
ejpam-6024	498	11	(	(	PUNCT
ejpam-6024	498	12	1	1	NUM
ejpam-6024	498	13	+	+	CCONJ
ejpam-6024	498	14	op(1	op(1	NOUN
ejpam-6024	498	15	)	)	PUNCT
ejpam-6024	498	16	)	)	PUNCT
ejpam-6024	498	17	.	.	PUNCT
ejpam-6024	499	1	recall	recall	NOUN
ejpam-6024	499	2	from	from	ADP
ejpam-6024	499	3	that	that	DET
ejpam-6024	499	4	ân	ân	PROPN
ejpam-6024	499	5	,	,	PUNCT
ejpam-6024	499	6	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	499	7	)	)	PUNCT
ejpam-6024	499	8	:	:	PUNCT
ejpam-6024	500	1	=	=	SYM
ejpam-6024	500	2	−	−	PROPN
ejpam-6024	500	3	(	(	PUNCT
ejpam-6024	500	4	1−	1−	NUM
ejpam-6024	500	5	ρ̂)(1−	ρ̂)(1−	NOUN
ejpam-6024	500	6	2ρ̂	2ρ̂	NUM
ejpam-6024	500	7	)	)	PUNCT
ejpam-6024	500	8	ρ̂	ρ̂	NUM
ejpam-6024	500	9	2	2	NUM
ejpam-6024	500	10	{	{	PUNCT
ejpam-6024	500	11	γ̂	γ̂	X
ejpam-6024	500	12	(	(	PUNCT
ejpam-6024	500	13	k	k	NOUN
ejpam-6024	500	14	)	)	PUNCT
ejpam-6024	500	15	n	n	CCONJ
ejpam-6024	500	16	,	,	PUNCT
ejpam-6024	500	17	k	k	PROPN
ejpam-6024	500	18	−	−	PROPN
ejpam-6024	500	19	γ̂	γ̂	PUNCT
ejpam-6024	500	20	(	(	PUNCT
ejpam-6024	500	21	k2,ρ̂	k2,ρ̂	PROPN
ejpam-6024	500	22	)	)	PUNCT
ejpam-6024	500	23	n	n	CCONJ
ejpam-6024	500	24	,	,	PUNCT
ejpam-6024	500	25	k	k	PROPN
ejpam-6024	500	26	}	}	PUNCT
ejpam-6024	500	27	.	.	PUNCT
ejpam-6024	501	1	using	use	VERB
ejpam-6024	501	2	again	again	ADV
ejpam-6024	501	3	the	the	DET
ejpam-6024	501	4	consistency	consistency	NOUN
ejpam-6024	501	5	of	of	ADP
ejpam-6024	501	6	ρ̂	ρ̂	NUM
ejpam-6024	501	7	:	:	PUNCT
ejpam-6024	501	8	=	=	SYM
ejpam-6024	501	9	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	501	10	to	to	ADP
ejpam-6024	501	11	ρ	ρ	PROPN
ejpam-6024	501	12	and	and	CCONJ
ejpam-6024	501	13	the	the	DET
ejpam-6024	501	14	expansion	expansion	NOUN
ejpam-6024	501	15	in	in	ADP
ejpam-6024	501	16	(	(	PUNCT
ejpam-6024	501	17	16	16	NUM
ejpam-6024	501	18	)	)	PUNCT
ejpam-6024	501	19	,	,	PUNCT
ejpam-6024	501	20	we	we	PRON
ejpam-6024	501	21	get	get	VERB
ejpam-6024	501	22	for	for	ADP
ejpam-6024	501	23	all	all	DET
ejpam-6024	501	24	large	large	ADJ
ejpam-6024	501	25	values	value	NOUN
ejpam-6024	501	26	of	of	ADP
ejpam-6024	501	27	n	n	CCONJ
ejpam-6024	501	28	:	:	PUNCT
ejpam-6024	501	29	√	√	PROPN
ejpam-6024	501	30	k	k	INTJ
ejpam-6024	501	31	(	(	PUNCT
ejpam-6024	501	32	γ̂	γ̂	X
ejpam-6024	501	33	(	(	PUNCT
ejpam-6024	501	34	k	k	NOUN
ejpam-6024	501	35	)	)	PUNCT
ejpam-6024	501	36	n	n	CCONJ
ejpam-6024	501	37	,	,	PUNCT
ejpam-6024	501	38	k	k	PROPN
ejpam-6024	501	39	−	−	PROPN
ejpam-6024	501	40	γ̂	γ̂	PUNCT
ejpam-6024	502	1	(	(	PUNCT
ejpam-6024	502	2	k2,ρ̂	k2,ρ̂	PROPN
ejpam-6024	502	3	)	)	PUNCT
ejpam-6024	502	4	n	n	CCONJ
ejpam-6024	502	5	,	,	PUNCT
ejpam-6024	502	6	k	k	PROPN
ejpam-6024	502	7	)	)	PUNCT
ejpam-6024	503	1	d	d	X
ejpam-6024	503	2	=	=	PUNCT
ejpam-6024	504	1	√	√	PROPN
ejpam-6024	504	2	k	k	NOUN
ejpam-6024	504	3	(	(	PUNCT
ejpam-6024	504	4	γ̂	γ̂	X
ejpam-6024	504	5	(	(	PUNCT
ejpam-6024	504	6	k	k	NOUN
ejpam-6024	504	7	)	)	PUNCT
ejpam-6024	504	8	n	n	CCONJ
ejpam-6024	504	9	,	,	PUNCT
ejpam-6024	504	10	k	k	PROPN
ejpam-6024	504	11	−	−	PROPN
ejpam-6024	504	12	γ	γ	X
ejpam-6024	504	13	)	)	PUNCT
ejpam-6024	504	14	−	−	PROPN
ejpam-6024	505	1	√	√	NUM
ejpam-6024	505	2	k	k	PROPN
ejpam-6024	505	3	(	(	PUNCT
ejpam-6024	505	4	γ̂	γ̂	X
ejpam-6024	505	5	(	(	PUNCT
ejpam-6024	505	6	k2,ρ̂	k2,ρ̂	PROPN
ejpam-6024	505	7	)	)	PUNCT
ejpam-6024	505	8	n	n	CCONJ
ejpam-6024	505	9	,	,	PUNCT
ejpam-6024	505	10	k	k	PROPN
ejpam-6024	505	11	−	−	PROPN
ejpam-6024	505	12	γ	γ	X
ejpam-6024	505	13	)	)	PUNCT
ejpam-6024	506	1	+	+	CCONJ
ejpam-6024	506	2	op(1	op(1	X
ejpam-6024	506	3	)	)	PUNCT
ejpam-6024	506	4	d	d	NOUN
ejpam-6024	506	5	=	=	PUNCT
ejpam-6024	506	6	−	−	PROPN
ejpam-6024	506	7	√	√	NUM
ejpam-6024	506	8	ka(n	ka(n	NUM
ejpam-6024	506	9	/	/	SYM
ejpam-6024	506	10	k	k	NOUN
ejpam-6024	506	11	)	)	PUNCT
ejpam-6024	506	12	ρ2	ρ2	NOUN
ejpam-6024	506	13	(	(	PUNCT
ejpam-6024	506	14	1−	1−	NUM
ejpam-6024	506	15	ρ)(1−	ρ)(1−	NUM
ejpam-6024	506	16	2ρ	2ρ	NOUN
ejpam-6024	506	17	)	)	PUNCT
ejpam-6024	507	1	+	+	CCONJ
ejpam-6024	507	2	γ	γ	X
ejpam-6024	507	3	∫	∫	PROPN
ejpam-6024	507	4	1	1	NUM
ejpam-6024	507	5	0	0	NUM
ejpam-6024	508	1	(	(	PUNCT
ejpam-6024	508	2	t−1w	t−1w	NOUN
ejpam-6024	508	3	(	(	PUNCT
ejpam-6024	508	4	t)−w	t)−w	NUM
ejpam-6024	508	5	(	(	PUNCT
ejpam-6024	508	6	1	1	NUM
ejpam-6024	508	7	)	)	PUNCT
ejpam-6024	508	8	)	)	PUNCT
ejpam-6024	509	1	d	d	X
ejpam-6024	509	2	{	{	PUNCT
ejpam-6024	509	3	t	t	PROPN
ejpam-6024	509	4	(	(	PUNCT
ejpam-6024	509	5	1−k2,ρ(t	1−k2,ρ(t	NUM
ejpam-6024	509	6	)	)	PUNCT
ejpam-6024	509	7	)	)	PUNCT
ejpam-6024	509	8	}	}	PUNCT
ejpam-6024	510	1	+	+	CCONJ
ejpam-6024	510	2	op(1	op(1	NOUN
ejpam-6024	510	3	)	)	PUNCT
ejpam-6024	510	4	.	.	PUNCT
ejpam-6024	511	1	a.	a.	NOUN
ejpam-6024	511	2	aghrabatt	aghrabatt	PROPN
ejpam-6024	511	3	et	et	PROPN
ejpam-6024	511	4	al	al	PROPN
ejpam-6024	511	5	.	.	PUNCT
ejpam-6024	511	6	/	/	SYM
ejpam-6024	511	7	eur	eur	PROPN
ejpam-6024	511	8	.	.	PUNCT
ejpam-6024	512	1	j.	j.	PROPN
ejpam-6024	512	2	pure	pure	PROPN
ejpam-6024	512	3	appl	appl	PROPN
ejpam-6024	512	4	.	.	PROPN
ejpam-6024	512	5	math	math	PROPN
ejpam-6024	512	6	,	,	PUNCT
ejpam-6024	512	7	18	18	NUM
ejpam-6024	512	8	(	(	PUNCT
ejpam-6024	512	9	2	2	NUM
ejpam-6024	512	10	)	)	PUNCT
ejpam-6024	512	11	(	(	PUNCT
ejpam-6024	512	12	2025	2025	NUM
ejpam-6024	512	13	)	)	PUNCT
ejpam-6024	512	14	,	,	PUNCT
ejpam-6024	512	15	6024	6024	NUM
ejpam-6024	512	16	24	24	NUM
ejpam-6024	512	17	of	of	ADP
ejpam-6024	512	18	25	25	NUM
ejpam-6024	512	19	with	with	ADP
ejpam-6024	512	20	the	the	DET
ejpam-6024	512	21	consistency	consistency	NOUN
ejpam-6024	512	22	of	of	ADP
ejpam-6024	512	23	ρ̂	ρ̂	NUM
ejpam-6024	512	24	:	:	PUNCT
ejpam-6024	512	25	=	=	SYM
ejpam-6024	512	26	ρ̂kρ	ρ̂kρ	NOUN
ejpam-6024	512	27	to	to	ADP
ejpam-6024	512	28	ρ	ρ	PROPN
ejpam-6024	512	29	,	,	PUNCT
ejpam-6024	512	30	this	this	PRON
ejpam-6024	512	31	leads	lead	VERB
ejpam-6024	512	32	to	to	ADP
ejpam-6024	512	33	ân	ân	PROPN
ejpam-6024	512	34	,	,	PUNCT
ejpam-6024	512	35	k(ρ̂	k(ρ̂	PROPN
ejpam-6024	512	36	)	)	PUNCT
ejpam-6024	513	1	d	d	X
ejpam-6024	513	2	=	=	PUNCT
ejpam-6024	513	3	a(n	a(n	NOUN
ejpam-6024	513	4	/	/	SYM
ejpam-6024	513	5	k)−	k)−	PROPN
ejpam-6024	513	6	γ(1−	γ(1−	PROPN
ejpam-6024	513	7	ρ)(1−	ρ)(1−	NOUN
ejpam-6024	513	8	2ρ	2ρ	NOUN
ejpam-6024	513	9	)	)	PUNCT
ejpam-6024	513	10	ρ2k1/2	ρ2k1/2	NOUN
ejpam-6024	513	11	∫	∫	PROPN
ejpam-6024	513	12	1	1	NUM
ejpam-6024	513	13	0	0	NUM
ejpam-6024	513	14	(	(	PUNCT
ejpam-6024	513	15	t−1w	t−1w	NOUN
ejpam-6024	513	16	(	(	PUNCT
ejpam-6024	513	17	t)−w	t)−w	NUM
ejpam-6024	513	18	(	(	PUNCT
ejpam-6024	513	19	1	1	NUM
ejpam-6024	513	20	)	)	PUNCT
ejpam-6024	513	21	)	)	PUNCT
ejpam-6024	514	1	d	d	X
ejpam-6024	514	2	{	{	PUNCT
ejpam-6024	514	3	t	t	X
ejpam-6024	514	4	(	(	PUNCT
ejpam-6024	514	5	k	k	PROPN
ejpam-6024	514	6	−k2,ρ(t	−k2,ρ(t	PROPN
ejpam-6024	514	7	)	)	PUNCT
ejpam-6024	514	8	)	)	PUNCT
ejpam-6024	514	9	}	}	PUNCT
ejpam-6024	515	1	+	+	CCONJ
ejpam-6024	515	2	op(k	op(k	NUM
ejpam-6024	515	3	−1/2	−1/2	ADJ
ejpam-6024	515	4	)	)	PUNCT
ejpam-6024	515	5	.	.	PUNCT
ejpam-6024	516	1	this	this	PRON
ejpam-6024	516	2	implies	imply	VERB
ejpam-6024	516	3	that	that	SCONJ
ejpam-6024	516	4	for	for	ADP
ejpam-6024	516	5	all	all	DET
ejpam-6024	516	6	large	large	ADJ
ejpam-6024	516	7	values	value	NOUN
ejpam-6024	516	8	of	of	ADP
ejpam-6024	516	9	n	n	CCONJ
ejpam-6024	516	10	:	:	PUNCT
ejpam-6024	516	11	√	√	PROPN
ejpam-6024	516	12	k(h3	k(h3	PROPN
ejpam-6024	517	1	+	+	NOUN
ejpam-6024	517	2	h4	h4	NOUN
ejpam-6024	517	3	)	)	PUNCT
ejpam-6024	517	4	gβ(k	gβ(k	X
ejpam-6024	517	5	/	/	SYM
ejpam-6024	517	6	n)q(1−	n)q(1−	PROPN
ejpam-6024	517	7	k	k	PROPN
ejpam-6024	517	8	/	/	SYM
ejpam-6024	517	9	n	n	CCONJ
ejpam-6024	517	10	)	)	PUNCT
ejpam-6024	517	11	d	d	NOUN
ejpam-6024	517	12	=	=	PUNCT
ejpam-6024	518	1	−	−	PROPN
ejpam-6024	518	2	βγ(1−	βγ(1−	PUNCT
ejpam-6024	518	3	ρ)(1−	ρ)(1−	NUM
ejpam-6024	518	4	2ρ	2ρ	NOUN
ejpam-6024	518	5	)	)	PUNCT
ejpam-6024	519	1	ρ2(1−	ρ2(1−	ADP
ejpam-6024	519	2	βγ)(1−	βγ)(1−	PROPN
ejpam-6024	519	3	β	β	X
ejpam-6024	519	4	γ	γ	X
ejpam-6024	519	5	−	−	PROPN
ejpam-6024	519	6	β	β	PROPN
ejpam-6024	519	7	ρ	ρ	PROPN
ejpam-6024	519	8	)	)	PUNCT
ejpam-6024	519	9	∫	∫	PROPN
ejpam-6024	519	10	1	1	NUM
ejpam-6024	519	11	0	0	NUM
ejpam-6024	520	1	(	(	PUNCT
ejpam-6024	520	2	t−1w	t−1w	NOUN
ejpam-6024	520	3	(	(	PUNCT
ejpam-6024	520	4	t)−w	t)−w	NUM
ejpam-6024	520	5	(	(	PUNCT
ejpam-6024	520	6	1	1	NUM
ejpam-6024	520	7	)	)	PUNCT
ejpam-6024	520	8	)	)	PUNCT
ejpam-6024	521	1	d	d	X
ejpam-6024	521	2	{	{	PUNCT
ejpam-6024	521	3	t	t	PROPN
ejpam-6024	521	4	(	(	PUNCT
ejpam-6024	521	5	1−k2,ρ(t	1−k2,ρ(t	NUM
ejpam-6024	521	6	)	)	PUNCT
ejpam-6024	521	7	)	)	PUNCT
ejpam-6024	521	8	}	}	PUNCT
ejpam-6024	522	1	+	+	ADP
ejpam-6024	522	2	op(1	op(1	NOUN
ejpam-6024	522	3	)	)	PUNCT
ejpam-6024	522	4	.	.	PUNCT
ejpam-6024	523	1	(	(	PUNCT
ejpam-6024	523	2	42	42	NUM
ejpam-6024	523	3	)	)	PUNCT
ejpam-6024	523	4	finlay	finlay	NOUN
ejpam-6024	523	5	,	,	PUNCT
ejpam-6024	523	6	form	form	NOUN
ejpam-6024	523	7	(	(	PUNCT
ejpam-6024	523	8	38	38	NUM
ejpam-6024	523	9	)	)	PUNCT
ejpam-6024	523	10	,	,	PUNCT
ejpam-6024	523	11	(	(	PUNCT
ejpam-6024	523	12	39	39	NUM
ejpam-6024	523	13	)	)	PUNCT
ejpam-6024	523	14	and	and	CCONJ
ejpam-6024	523	15	(	(	PUNCT
ejpam-6024	523	16	42	42	NUM
ejpam-6024	523	17	)	)	PUNCT
ejpam-6024	523	18	,	,	PUNCT
ejpam-6024	523	19	we	we	PRON
ejpam-6024	523	20	get	get	VERB
ejpam-6024	523	21	as	as	ADP
ejpam-6024	523	22	n	n	NOUN
ejpam-6024	523	23	→	→	SYM
ejpam-6024	523	24	∞	∞	NUM
ejpam-6024	523	25	:	:	PUNCT
ejpam-6024	523	26	√	√	PROPN
ejpam-6024	524	1	k	k	X
ejpam-6024	525	1	(	(	PUNCT
ejpam-6024	525	2	π̃	π̃	PROPN
ejpam-6024	525	3	(	(	PUNCT
ejpam-6024	525	4	k∆̂∗	k∆̂∗	NOUN
ejpam-6024	525	5	opt	opt	NOUN
ejpam-6024	525	6	)	)	PUNCT
ejpam-6024	525	7	β	β	X
ejpam-6024	525	8	,	,	PUNCT
ejpam-6024	525	9	k	k	PROPN
ejpam-6024	525	10	,	,	PUNCT
ejpam-6024	525	11	nρ̂	nρ̂	NOUN
ejpam-6024	525	12	−	−	PROPN
ejpam-6024	525	13	πβ	πβ	NOUN
ejpam-6024	525	14	,	,	PUNCT
ejpam-6024	525	15	n	n	NOUN
ejpam-6024	525	16	)	)	PUNCT
ejpam-6024	525	17	gβ(k	gβ(k	X
ejpam-6024	525	18	/	/	SYM
ejpam-6024	525	19	n)q(1−	n)q(1−	PROPN
ejpam-6024	525	20	k	k	PROPN
ejpam-6024	525	21	/	/	SYM
ejpam-6024	525	22	n	n	CCONJ
ejpam-6024	525	23	)	)	PUNCT
ejpam-6024	525	24	d→	d→	VERB
ejpam-6024	525	25	γβ	γβ	X
ejpam-6024	525	26	(	(	PUNCT
ejpam-6024	525	27	1−	1−	NUM
ejpam-6024	525	28	β	β	X
ejpam-6024	525	29	γ)2	γ)2	PROPN
ejpam-6024	525	30	∫	∫	PROPN
ejpam-6024	525	31	1	1	NUM
ejpam-6024	525	32	0	0	NUM
ejpam-6024	525	33	(	(	PUNCT
ejpam-6024	525	34	t−1w	t−1w	NOUN
ejpam-6024	525	35	(	(	PUNCT
ejpam-6024	525	36	t)−w	t)−w	NUM
ejpam-6024	525	37	(	(	PUNCT
ejpam-6024	525	38	1	1	NUM
ejpam-6024	525	39	)	)	PUNCT
ejpam-6024	525	40	)	)	PUNCT
ejpam-6024	525	41	d(tk(t	d(tk(t	NOUN
ejpam-6024	525	42	)	)	PUNCT
ejpam-6024	525	43	)	)	PUNCT
ejpam-6024	526	1	+	+	CCONJ
ejpam-6024	526	2	βγ2	βγ2	NOUN
ejpam-6024	526	3	1−	1−	NUM
ejpam-6024	526	4	β	β	SYM
ejpam-6024	526	5	γ	γ	X
ejpam-6024	526	6	w	w	PROPN
ejpam-6024	526	7	(	(	PUNCT
ejpam-6024	526	8	1	1	NUM
ejpam-6024	526	9	)	)	PUNCT
ejpam-6024	526	10	.	.	PUNCT
ejpam-6024	527	1	proof	proof	NOUN
ejpam-6024	527	2	of	of	ADP
ejpam-6024	527	3	corollary	corollary	ADJ
ejpam-6024	527	4	1	1	NUM
ejpam-6024	527	5	.	.	PUNCT
ejpam-6024	527	6	computing	compute	VERB
ejpam-6024	527	7	the	the	DET
ejpam-6024	527	8	variance	variance	NOUN
ejpam-6024	527	9	of	of	ADP
ejpam-6024	527	10	the	the	DET
ejpam-6024	527	11	gaussian	gaussian	ADJ
ejpam-6024	527	12	terms	term	NOUN
ejpam-6024	527	13	appeared	appear	VERB
ejpam-6024	527	14	in	in	ADP
ejpam-6024	527	15	the	the	DET
ejpam-6024	527	16	right	right	ADJ
ejpam-6024	527	17	side	side	NOUN
ejpam-6024	527	18	of	of	ADP
ejpam-6024	527	19	(	(	PUNCT
ejpam-6024	527	20	36	36	NUM
ejpam-6024	527	21	)	)	PUNCT
ejpam-6024	527	22	with	with	ADP
ejpam-6024	527	23	respect	respect	NOUN
ejpam-6024	527	24	to	to	ADP
ejpam-6024	527	25	the	the	DET
ejpam-6024	527	26	covariance	covariance	NOUN
ejpam-6024	527	27	structure	structure	NOUN
ejpam-6024	527	28	r	r	NOUN
ejpam-6024	527	29	(	(	PUNCT
ejpam-6024	527	30	.	.	PUNCT
ejpam-6024	527	31	,	,	PUNCT
ejpam-6024	527	32	.	.	PUNCT
ejpam-6024	527	33	)	)	PUNCT
ejpam-6024	527	34	,	,	PUNCT
ejpam-6024	527	35	the	the	DET
ejpam-6024	527	36	proof	proof	NOUN
ejpam-6024	527	37	of	of	ADP
ejpam-6024	527	38	corollary	corollary	ADJ
ejpam-6024	527	39	1	1	NUM
ejpam-6024	527	40	holds	hold	NOUN
ejpam-6024	527	41	.	.	PUNCT
ejpam-6024	528	1	references	reference	NOUN
ejpam-6024	528	2	[	[	X
ejpam-6024	528	3	1	1	NUM
ejpam-6024	528	4	]	]	PUNCT
ejpam-6024	528	5	m.	m.	NOUN
ejpam-6024	528	6	denuit	denuit	PROPN
ejpam-6024	529	1	,	,	PUNCT
ejpam-6024	529	2	j.	j.	PROPN
ejpam-6024	529	3	dhaene	dhaene	PROPN
ejpam-6024	529	4	,	,	PUNCT
ejpam-6024	529	5	m.	m.	NOUN
ejpam-6024	529	6	j.	j.	PROPN
ejpam-6024	529	7	goovaerts	goovaerts	PROPN
ejpam-6024	529	8	,	,	PUNCT
ejpam-6024	529	9	and	and	CCONJ
ejpam-6024	529	10	r.	r.	PROPN
ejpam-6024	529	11	kaas	kaas	PROPN
ejpam-6024	529	12	.	.	PUNCT
ejpam-6024	530	1	actuarial	actuarial	ADJ
ejpam-6024	530	2	theory	theory	NOUN
ejpam-6024	530	3	for	for	ADP
ejpam-6024	530	4	dependent	dependent	ADJ
ejpam-6024	530	5	risk	risk	NOUN
ejpam-6024	530	6	:	:	PUNCT
ejpam-6024	530	7	measures	measure	NOUN
ejpam-6024	530	8	,	,	PUNCT
ejpam-6024	530	9	orders	order	NOUN
ejpam-6024	530	10	and	and	CCONJ
ejpam-6024	530	11	models	model	NOUN
ejpam-6024	530	12	.	.	PUNCT
ejpam-6024	531	1	wiley	wiley	PROPN
ejpam-6024	531	2	,	,	PUNCT
ejpam-6024	531	3	new	new	PROPN
ejpam-6024	531	4	york	york	PROPN
ejpam-6024	531	5	,	,	PUNCT
ejpam-6024	531	6	2005	2005	NUM
ejpam-6024	531	7	.	.	PUNCT
ejpam-6024	532	1	[	[	X
ejpam-6024	532	2	2	2	NUM
ejpam-6024	532	3	]	]	PUNCT
ejpam-6024	532	4	m.	m.	NOUN
ejpam-6024	532	5	j.	j.	PROPN
ejpam-6024	532	6	goovaerts	goovaerts	PROPN
ejpam-6024	532	7	,	,	PUNCT
ejpam-6024	532	8	f.	f.	PROPN
ejpam-6024	532	9	de	de	PROPN
ejpam-6024	532	10	vylder	vylder	PROPN
ejpam-6024	532	11	,	,	PUNCT
ejpam-6024	532	12	and	and	CCONJ
ejpam-6024	532	13	j.	j.	PROPN
ejpam-6024	532	14	haezendonck	haezendonck	PROPN
ejpam-6024	532	15	.	.	PUNCT
ejpam-6024	533	1	insurance	insurance	NOUN
ejpam-6024	533	2	premiums	premium	NOUN
ejpam-6024	533	3	,	,	PUNCT
ejpam-6024	533	4	theory	theory	NOUN
ejpam-6024	533	5	and	and	CCONJ
ejpam-6024	533	6	applications	application	NOUN
ejpam-6024	533	7	.	.	PUNCT
ejpam-6024	534	1	north	north	NOUN
ejpam-6024	534	2	-	-	PUNCT
ejpam-6024	534	3	holland	holland	PROPN
ejpam-6024	534	4	,	,	PUNCT
ejpam-6024	534	5	amsterdam	amsterdam	PROPN
ejpam-6024	534	6	,	,	PUNCT
ejpam-6024	534	7	1984	1984	NUM
ejpam-6024	534	8	.	.	PUNCT
ejpam-6024	535	1	[	[	X
ejpam-6024	535	2	3	3	X
ejpam-6024	535	3	]	]	X
ejpam-6024	535	4	s.	s.	PROPN
ejpam-6024	535	5	wang	wang	PROPN
ejpam-6024	535	6	.	.	PUNCT
ejpam-6024	535	7	insurance	insurance	NOUN
ejpam-6024	535	8	pricing	pricing	NOUN
ejpam-6024	535	9	and	and	CCONJ
ejpam-6024	535	10	increased	increase	VERB
ejpam-6024	535	11	limits	limit	NOUN
ejpam-6024	535	12	ratemaking	ratemake	VERB
ejpam-6024	535	13	by	by	ADP
ejpam-6024	535	14	proportional	proportional	ADJ
ejpam-6024	535	15	hazard	hazard	NOUN
ejpam-6024	535	16	transforms	transform	VERB
ejpam-6024	535	17	.	.	PUNCT
ejpam-6024	536	1	insurance	insurance	NOUN
ejpam-6024	536	2	:	:	PUNCT
ejpam-6024	536	3	mathematics	mathematic	NOUN
ejpam-6024	536	4	and	and	CCONJ
ejpam-6024	536	5	economics	economic	NOUN
ejpam-6024	536	6	,	,	PUNCT
ejpam-6024	536	7	17(1):43–54	17(1):43–54	NUM
ejpam-6024	536	8	,	,	PUNCT
ejpam-6024	536	9	1995	1995	NUM
ejpam-6024	536	10	.	.	PUNCT
ejpam-6024	537	1	[	[	X
ejpam-6024	537	2	4	4	X
ejpam-6024	537	3	]	]	PUNCT
ejpam-6024	537	4	s.	s.	PROPN
ejpam-6024	537	5	s.	s.	PROPN
ejpam-6024	537	6	wang	wang	PROPN
ejpam-6024	537	7	.	.	PUNCT
ejpam-6024	538	1	premium	premium	PROPN
ejpam-6024	538	2	calculation	calculation	NOUN
ejpam-6024	538	3	by	by	ADP
ejpam-6024	538	4	transforming	transform	VERB
ejpam-6024	538	5	the	the	DET
ejpam-6024	538	6	layer	layer	NOUN
ejpam-6024	538	7	premium	premium	NOUN
ejpam-6024	538	8	density	density	NOUN
ejpam-6024	538	9	.	.	PUNCT
ejpam-6024	539	1	astin	astin	PROPN
ejpam-6024	539	2	bulletin	bulletin	PROPN
ejpam-6024	539	3	,	,	PUNCT
ejpam-6024	539	4	26(1):71–92	26(1):71–92	NUM
ejpam-6024	539	5	,	,	PUNCT
ejpam-6024	539	6	1996	1996	NUM
ejpam-6024	539	7	.	.	PUNCT
ejpam-6024	540	1	[	[	X
ejpam-6024	540	2	5	5	X
ejpam-6024	540	3	]	]	PUNCT
ejpam-6024	540	4	j.	j.	PROPN
ejpam-6024	540	5	l.	l.	PROPN
ejpam-6024	540	6	wirch	wirch	PROPN
ejpam-6024	540	7	and	and	CCONJ
ejpam-6024	540	8	m.	m.	PROPN
ejpam-6024	540	9	r.	r.	PROPN
ejpam-6024	540	10	hardy	hardy	PROPN
ejpam-6024	540	11	.	.	PUNCT
ejpam-6024	541	1	a	a	DET
ejpam-6024	541	2	synthesis	synthesis	NOUN
ejpam-6024	541	3	of	of	ADP
ejpam-6024	541	4	risk	risk	NOUN
ejpam-6024	541	5	measures	measure	NOUN
ejpam-6024	541	6	for	for	ADP
ejpam-6024	541	7	capital	capital	NOUN
ejpam-6024	541	8	adequacy	adequacy	NOUN
ejpam-6024	541	9	.	.	PUNCT
ejpam-6024	542	1	insurance	insurance	NOUN
ejpam-6024	542	2	:	:	PUNCT
ejpam-6024	542	3	mathematics	mathematic	NOUN
ejpam-6024	542	4	and	and	CCONJ
ejpam-6024	542	5	economics	economic	NOUN
ejpam-6024	542	6	,	,	PUNCT
ejpam-6024	542	7	25(3):337–347	25(3):337–347	PROPN
ejpam-6024	542	8	,	,	PUNCT
ejpam-6024	542	9	1999	1999	NUM
ejpam-6024	542	10	.	.	PUNCT
ejpam-6024	543	1	[	[	X
ejpam-6024	543	2	6	6	NUM
ejpam-6024	543	3	]	]	PUNCT
ejpam-6024	543	4	p.	p.	NOUN
ejpam-6024	543	5	artzner	artzner	NOUN
ejpam-6024	543	6	,	,	PUNCT
ejpam-6024	543	7	f.	f.	PROPN
ejpam-6024	543	8	delbaen	delbaen	PROPN
ejpam-6024	543	9	,	,	PUNCT
ejpam-6024	543	10	j.-m	j.-m	PROPN
ejpam-6024	543	11	.	.	PUNCT
ejpam-6024	544	1	eber	eber	PROPN
ejpam-6024	544	2	,	,	PUNCT
ejpam-6024	544	3	and	and	CCONJ
ejpam-6024	544	4	d.	d.	PROPN
ejpam-6024	544	5	heath	heath	PROPN
ejpam-6024	544	6	.	.	PUNCT
ejpam-6024	545	1	coherent	coherent	ADJ
ejpam-6024	545	2	measures	measure	NOUN
ejpam-6024	545	3	of	of	ADP
ejpam-6024	545	4	risk	risk	NOUN
ejpam-6024	545	5	.	.	PUNCT
ejpam-6024	546	1	mathematical	mathematical	ADJ
ejpam-6024	546	2	finance	finance	NOUN
ejpam-6024	546	3	,	,	PUNCT
ejpam-6024	546	4	9(3):203–228	9(3):203–228	NUM
ejpam-6024	546	5	,	,	PUNCT
ejpam-6024	546	6	1999	1999	NUM
ejpam-6024	546	7	.	.	PUNCT
ejpam-6024	547	1	[	[	X
ejpam-6024	547	2	7	7	X
ejpam-6024	547	3	]	]	X
ejpam-6024	547	4	b.	b.	PROPN
ejpam-6024	547	5	l.	l.	PROPN
ejpam-6024	547	6	jones	jones	PROPN
ejpam-6024	547	7	and	and	CCONJ
ejpam-6024	547	8	r.	r.	PROPN
ejpam-6024	547	9	zitikis	zitikis	PROPN
ejpam-6024	547	10	.	.	PUNCT
ejpam-6024	548	1	empirical	empirical	ADJ
ejpam-6024	548	2	estimation	estimation	NOUN
ejpam-6024	548	3	of	of	ADP
ejpam-6024	548	4	risk	risk	NOUN
ejpam-6024	548	5	measures	measure	NOUN
ejpam-6024	548	6	and	and	CCONJ
ejpam-6024	548	7	related	related	ADJ
ejpam-6024	548	8	quantities	quantity	NOUN
ejpam-6024	548	9	.	.	PUNCT
ejpam-6024	549	1	north	north	ADJ
ejpam-6024	549	2	american	american	ADJ
ejpam-6024	549	3	actuarial	actuarial	ADJ
ejpam-6024	549	4	journal	journal	NOUN
ejpam-6024	549	5	,	,	PUNCT
ejpam-6024	549	6	7(4):44–54	7(4):44–54	NUM
ejpam-6024	549	7	,	,	PUNCT
ejpam-6024	549	8	2003	2003	NUM
ejpam-6024	549	9	.	.	PUNCT
ejpam-6024	550	1	[	[	X
ejpam-6024	550	2	8	8	NUM
ejpam-6024	550	3	]	]	X
ejpam-6024	550	4	e.	e.	PROPN
ejpam-6024	550	5	h.	h.	PROPN
ejpam-6024	550	6	deme	deme	PROPN
ejpam-6024	550	7	,	,	PUNCT
ejpam-6024	550	8	m.	m.	PROPN
ejpam-6024	550	9	allaya	allaya	PROPN
ejpam-6024	550	10	,	,	PUNCT
ejpam-6024	550	11	s.	s.	PROPN
ejpam-6024	550	12	deme	deme	PROPN
ejpam-6024	550	13	,	,	PUNCT
ejpam-6024	550	14	a.	a.	NOUN
ejpam-6024	550	15	dhaker	dhaker	NOUN
ejpam-6024	550	16	,	,	PUNCT
ejpam-6024	550	17	and	and	CCONJ
ejpam-6024	550	18	a.	a.	PROPN
ejpam-6024	550	19	s.	s.	PROPN
ejpam-6024	550	20	dabye	dabye	PROPN
ejpam-6024	550	21	.	.	PUNCT
ejpam-6024	551	1	estimation	estimation	NOUN
ejpam-6024	551	2	of	of	ADP
ejpam-6024	551	3	risk	risk	NOUN
ejpam-6024	551	4	measures	measure	NOUN
ejpam-6024	551	5	from	from	ADP
ejpam-6024	551	6	heavy	heavy	ADJ
ejpam-6024	551	7	-	-	PUNCT
ejpam-6024	551	8	tailed	tail	VERB
ejpam-6024	551	9	distributions	distribution	NOUN
ejpam-6024	551	10	.	.	PUNCT
ejpam-6024	552	1	east	east	ADJ
ejpam-6024	552	2	african	african	PROPN
ejpam-6024	552	3	journal	journal	PROPN
ejpam-6024	552	4	of	of	ADP
ejpam-6024	552	5	theoretical	theoretical	ADJ
ejpam-6024	552	6	statistics	statistic	NOUN
ejpam-6024	552	7	,	,	PUNCT
ejpam-6024	552	8	62(1):35–80	62(1):35–80	NOUN
ejpam-6024	552	9	,	,	PUNCT
ejpam-6024	552	10	2021	2021	NUM
ejpam-6024	552	11	.	.	PUNCT
ejpam-6024	553	1	[	[	X
ejpam-6024	553	2	9	9	NUM
ejpam-6024	553	3	]	]	X
ejpam-6024	553	4	b.	b.	PROPN
ejpam-6024	553	5	vandewalle	vandewalle	PROPN
ejpam-6024	553	6	and	and	CCONJ
ejpam-6024	553	7	j.	j.	PROPN
ejpam-6024	553	8	beirlant	beirlant	PROPN
ejpam-6024	553	9	.	.	PUNCT
ejpam-6024	554	1	on	on	ADP
ejpam-6024	554	2	univariate	univariate	ADJ
ejpam-6024	554	3	extreme	extreme	ADJ
ejpam-6024	554	4	value	value	NOUN
ejpam-6024	554	5	statistics	statistic	NOUN
ejpam-6024	554	6	and	and	CCONJ
ejpam-6024	554	7	the	the	DET
ejpam-6024	554	8	estimation	estimation	NOUN
ejpam-6024	554	9	of	of	ADP
ejpam-6024	554	10	reinsurance	reinsurance	NOUN
ejpam-6024	554	11	premiums	premium	NOUN
ejpam-6024	554	12	.	.	PUNCT
ejpam-6024	555	1	insurance	insurance	NOUN
ejpam-6024	555	2	:	:	PUNCT
ejpam-6024	555	3	mathematics	mathematic	NOUN
ejpam-6024	555	4	and	and	CCONJ
ejpam-6024	555	5	economics	economic	NOUN
ejpam-6024	555	6	,	,	PUNCT
ejpam-6024	555	7	38(3):441–459	38(3):441–459	NUM
ejpam-6024	555	8	,	,	PUNCT
ejpam-6024	555	9	2006	2006	NUM
ejpam-6024	555	10	.	.	PUNCT
ejpam-6024	556	1	[	[	X
ejpam-6024	556	2	10	10	NUM
ejpam-6024	556	3	]	]	PUNCT
ejpam-6024	556	4	a.	a.	NOUN
ejpam-6024	556	5	charpentier	charpentier	NOUN
ejpam-6024	556	6	and	and	CCONJ
ejpam-6024	556	7	m.	m.	NOUN
ejpam-6024	556	8	denuit	denuit	PROPN
ejpam-6024	556	9	.	.	PUNCT
ejpam-6024	557	1	mathématiques	mathématiques	PROPN
ejpam-6024	557	2	de	de	PROPN
ejpam-6024	557	3	l’assurance	l’assurance	ADP
ejpam-6024	557	4	non	non	ADJ
ejpam-6024	557	5	-	-	PROPN
ejpam-6024	557	6	vie	vie	ADJ
ejpam-6024	557	7	.	.	PUNCT
ejpam-6024	557	8	tome	tome	NOUN
ejpam-6024	557	9	1	1	NUM
ejpam-6024	557	10	:	:	PUNCT
ejpam-6024	557	11	principes	principe	NOUN
ejpam-6024	557	12	fondamentaux	fondamentaux	PROPN
ejpam-6024	557	13	de	de	X
ejpam-6024	557	14	théorie	théorie	PROPN
ejpam-6024	557	15	du	du	PROPN
ejpam-6024	557	16	risque	risque	PROPN
ejpam-6024	557	17	.	.	PUNCT
ejpam-6024	558	1	economica	economica	PROPN
ejpam-6024	558	2	,	,	PUNCT
ejpam-6024	558	3	paris	paris	PROPN
ejpam-6024	558	4	,	,	PUNCT
ejpam-6024	558	5	2004	2004	NUM
ejpam-6024	558	6	.	.	PUNCT
ejpam-6024	559	1	[	[	X
ejpam-6024	559	2	11	11	NUM
ejpam-6024	559	3	]	]	X
ejpam-6024	559	4	l.	l.	PROPN
ejpam-6024	559	5	de	de	PROPN
ejpam-6024	559	6	haan	haan	PROPN
ejpam-6024	559	7	and	and	CCONJ
ejpam-6024	559	8	a.	a.	PROPN
ejpam-6024	559	9	ferreira	ferreira	PROPN
ejpam-6024	559	10	.	.	PUNCT
ejpam-6024	560	1	extreme	extreme	ADJ
ejpam-6024	560	2	value	value	NOUN
ejpam-6024	560	3	theory	theory	NOUN
ejpam-6024	560	4	:	:	PUNCT
ejpam-6024	560	5	an	an	DET
ejpam-6024	560	6	introduction	introduction	NOUN
ejpam-6024	560	7	.	.	PUNCT
ejpam-6024	561	1	springer	springer	NOUN
ejpam-6024	561	2	,	,	PUNCT
ejpam-6024	561	3	new	new	PROPN
ejpam-6024	561	4	york	york	PROPN
ejpam-6024	561	5	,	,	PUNCT
ejpam-6024	561	6	2006	2006	NUM
ejpam-6024	561	7	.	.	PUNCT
ejpam-6024	562	1	[	[	X
ejpam-6024	562	2	12	12	NUM
ejpam-6024	562	3	]	]	X
ejpam-6024	562	4	e.	e.	PROPN
ejpam-6024	562	5	deme	deme	PROPN
ejpam-6024	562	6	,	,	PUNCT
ejpam-6024	562	7	s.	s.	PROPN
ejpam-6024	562	8	girard	girard	PROPN
ejpam-6024	562	9	,	,	PUNCT
ejpam-6024	562	10	and	and	CCONJ
ejpam-6024	562	11	a.	a.	NOUN
ejpam-6024	562	12	guillou	guillou	PROPN
ejpam-6024	562	13	.	.	PUNCT
ejpam-6024	562	14	reduced	reduce	VERB
ejpam-6024	562	15	-	-	PUNCT
ejpam-6024	562	16	bias	bias	NOUN
ejpam-6024	562	17	estimator	estimator	NOUN
ejpam-6024	562	18	of	of	ADP
ejpam-6024	562	19	the	the	DET
ejpam-6024	562	20	proportional	proportional	ADJ
ejpam-6024	562	21	hazard	hazard	NOUN
ejpam-6024	562	22	premium	premium	NOUN
ejpam-6024	562	23	for	for	ADP
ejpam-6024	562	24	heavy	heavy	ADJ
ejpam-6024	562	25	-	-	PUNCT
ejpam-6024	562	26	tailed	tail	VERB
ejpam-6024	562	27	distributions	distribution	NOUN
ejpam-6024	562	28	.	.	PUNCT
ejpam-6024	563	1	insurance	insurance	NOUN
ejpam-6024	563	2	:	:	PUNCT
ejpam-6024	563	3	mathematics	mathematic	NOUN
ejpam-6024	563	4	and	and	CCONJ
ejpam-6024	563	5	economics	economic	NOUN
ejpam-6024	563	6	,	,	PUNCT
ejpam-6024	563	7	52(3):550	52(3):550	NUM
ejpam-6024	563	8	–	–	PUNCT
ejpam-6024	563	9	559	559	NUM
ejpam-6024	563	10	,	,	PUNCT
ejpam-6024	563	11	2013	2013	NUM
ejpam-6024	563	12	.	.	PUNCT
ejpam-6024	564	1	[	[	X
ejpam-6024	564	2	13	13	NUM
ejpam-6024	564	3	]	]	X
ejpam-6024	564	4	e.	e.	PROPN
ejpam-6024	564	5	h.	h.	PROPN
ejpam-6024	564	6	deme	deme	PROPN
ejpam-6024	564	7	,	,	PUNCT
ejpam-6024	564	8	s.	s.	PROPN
ejpam-6024	564	9	girard	girard	PROPN
ejpam-6024	564	10	,	,	PUNCT
ejpam-6024	564	11	and	and	CCONJ
ejpam-6024	564	12	a.	a.	NOUN
ejpam-6024	564	13	guillou	guillou	PROPN
ejpam-6024	564	14	.	.	PUNCT
ejpam-6024	565	1	reduced	reduce	VERB
ejpam-6024	565	2	-	-	PUNCT
ejpam-6024	565	3	biased	bias	VERB
ejpam-6024	565	4	estimators	estimator	NOUN
ejpam-6024	565	5	of	of	ADP
ejpam-6024	565	6	the	the	DET
ejpam-6024	565	7	conditional	conditional	ADJ
ejpam-6024	565	8	tail	tail	NOUN
ejpam-6024	565	9	expectation	expectation	NOUN
ejpam-6024	565	10	for	for	ADP
ejpam-6024	565	11	heavy	heavy	ADJ
ejpam-6024	565	12	-	-	PUNCT
ejpam-6024	565	13	tailed	tail	VERB
ejpam-6024	565	14	distributions	distribution	NOUN
ejpam-6024	565	15	.	.	PUNCT
ejpam-6024	566	1	mathematical	mathematical	ADJ
ejpam-6024	566	2	statistics	statistic	NOUN
ejpam-6024	566	3	and	and	CCONJ
ejpam-6024	566	4	limit	limit	VERB
ejpam-6024	566	5	theorems	theorem	NOUN
ejpam-6024	566	6	,	,	PUNCT
ejpam-6024	566	7	pages	page	NOUN
ejpam-6024	566	8	105–123	105–123	NUM
ejpam-6024	566	9	,	,	PUNCT
ejpam-6024	566	10	2015	2015	NUM
ejpam-6024	566	11	.	.	PUNCT
ejpam-6024	567	1	a.	a.	NOUN
ejpam-6024	567	2	aghrabatt	aghrabatt	PROPN
ejpam-6024	567	3	et	et	PROPN
ejpam-6024	567	4	al	al	PROPN
ejpam-6024	567	5	.	.	PUNCT
ejpam-6024	567	6	/	/	SYM
ejpam-6024	567	7	eur	eur	PROPN
ejpam-6024	567	8	.	.	PUNCT
ejpam-6024	568	1	j.	j.	PROPN
ejpam-6024	568	2	pure	pure	PROPN
ejpam-6024	568	3	appl	appl	PROPN
ejpam-6024	568	4	.	.	PROPN
ejpam-6024	568	5	math	math	PROPN
ejpam-6024	568	6	,	,	PUNCT
ejpam-6024	568	7	18	18	NUM
ejpam-6024	568	8	(	(	PUNCT
ejpam-6024	568	9	2	2	NUM
ejpam-6024	568	10	)	)	PUNCT
ejpam-6024	568	11	(	(	PUNCT
ejpam-6024	568	12	2025	2025	NUM
ejpam-6024	568	13	)	)	PUNCT
ejpam-6024	568	14	,	,	PUNCT
ejpam-6024	568	15	6024	6024	NUM
ejpam-6024	568	16	25	25	NUM
ejpam-6024	568	17	of	of	ADP
ejpam-6024	568	18	25	25	NUM
ejpam-6024	569	1	[	[	SYM
ejpam-6024	569	2	14	14	NUM
ejpam-6024	569	3	]	]	PUNCT
ejpam-6024	569	4	a.	a.	NOUN
ejpam-6024	569	5	necir	necir	PROPN
ejpam-6024	569	6	,	,	PUNCT
ejpam-6024	569	7	a.	a.	NOUN
ejpam-6024	569	8	rassoul	rassoul	PROPN
ejpam-6024	569	9	,	,	PUNCT
ejpam-6024	569	10	and	and	CCONJ
ejpam-6024	569	11	r.	r.	PROPN
ejpam-6024	569	12	zitikis	zitikis	PROPN
ejpam-6024	569	13	.	.	PUNCT
ejpam-6024	570	1	estimating	estimate	VERB
ejpam-6024	570	2	the	the	DET
ejpam-6024	570	3	conditional	conditional	ADJ
ejpam-6024	570	4	tail	tail	NOUN
ejpam-6024	570	5	expectation	expectation	NOUN
ejpam-6024	570	6	in	in	ADP
ejpam-6024	570	7	the	the	DET
ejpam-6024	570	8	case	case	NOUN
ejpam-6024	570	9	of	of	ADP
ejpam-6024	570	10	heavy	heavy	ADJ
ejpam-6024	570	11	-	-	PUNCT
ejpam-6024	570	12	tailed	tail	VERB
ejpam-6024	570	13	losses	loss	NOUN
ejpam-6024	570	14	.	.	PUNCT
ejpam-6024	571	1	journal	journal	NOUN
ejpam-6024	571	2	of	of	ADP
ejpam-6024	571	3	probability	probability	NOUN
ejpam-6024	571	4	and	and	CCONJ
ejpam-6024	571	5	statistics	statistic	NOUN
ejpam-6024	571	6	,	,	PUNCT
ejpam-6024	571	7	2010:596839	2010:596839	NUM
ejpam-6024	571	8	,	,	PUNCT
ejpam-6024	571	9	2010	2010	NUM
ejpam-6024	571	10	.	.	PUNCT
ejpam-6024	572	1	[	[	X
ejpam-6024	572	2	15	15	NUM
ejpam-6024	572	3	]	]	X
ejpam-6024	572	4	r.-d	r.-d	PROPN
ejpam-6024	572	5	.	.	PUNCT
ejpam-6024	573	1	reiss	reiss	PROPN
ejpam-6024	573	2	and	and	CCONJ
ejpam-6024	573	3	m.	m.	PROPN
ejpam-6024	573	4	thomas	thomas	PROPN
ejpam-6024	573	5	.	.	PUNCT
ejpam-6024	574	1	statistical	statistical	ADJ
ejpam-6024	574	2	analysis	analysis	NOUN
ejpam-6024	574	3	of	of	ADP
ejpam-6024	574	4	extreme	extreme	ADJ
ejpam-6024	574	5	values	value	NOUN
ejpam-6024	574	6	with	with	ADP
ejpam-6024	574	7	applications	application	NOUN
ejpam-6024	574	8	to	to	ADP
ejpam-6024	574	9	insurance	insurance	NOUN
ejpam-6024	574	10	,	,	PUNCT
ejpam-6024	574	11	finance	finance	NOUN
ejpam-6024	574	12	,	,	PUNCT
ejpam-6024	574	13	hydrology	hydrology	NOUN
ejpam-6024	574	14	and	and	CCONJ
ejpam-6024	574	15	other	other	ADJ
ejpam-6024	574	16	fields	field	NOUN
ejpam-6024	574	17	.	.	PUNCT
ejpam-6024	575	1	birkhäuser	birkhäuser	NOUN
ejpam-6024	575	2	,	,	PUNCT
ejpam-6024	575	3	basel	basel	PROPN
ejpam-6024	575	4	,	,	PUNCT
ejpam-6024	575	5	3	3	NUM
ejpam-6024	575	6	edition	edition	NOUN
ejpam-6024	575	7	,	,	PUNCT
ejpam-6024	575	8	2007	2007	NUM
ejpam-6024	575	9	.	.	PUNCT
ejpam-6024	576	1	[	[	X
ejpam-6024	576	2	16	16	NUM
ejpam-6024	576	3	]	]	PUNCT
ejpam-6024	576	4	a.	a.	NOUN
ejpam-6024	576	5	rassoul	rassoul	PROPN
ejpam-6024	576	6	.	.	PUNCT
ejpam-6024	577	1	kernel	kernel	NOUN
ejpam-6024	577	2	-	-	PUNCT
ejpam-6024	577	3	type	type	NOUN
ejpam-6024	577	4	estimator	estimator	NOUN
ejpam-6024	577	5	of	of	ADP
ejpam-6024	577	6	the	the	DET
ejpam-6024	577	7	conditional	conditional	ADJ
ejpam-6024	577	8	tail	tail	NOUN
ejpam-6024	577	9	expectation	expectation	NOUN
ejpam-6024	577	10	for	for	ADP
ejpam-6024	577	11	heavy	heavy	ADJ
ejpam-6024	577	12	-	-	PUNCT
ejpam-6024	577	13	tailed	tail	VERB
ejpam-6024	577	14	distributions	distribution	NOUN
ejpam-6024	577	15	.	.	PUNCT
ejpam-6024	578	1	insurance	insurance	NOUN
ejpam-6024	578	2	:	:	PUNCT
ejpam-6024	578	3	mathematics	mathematic	NOUN
ejpam-6024	578	4	and	and	CCONJ
ejpam-6024	578	5	economics	economic	NOUN
ejpam-6024	578	6	,	,	PUNCT
ejpam-6024	578	7	53(3):698–703	53(3):698–703	NUM
ejpam-6024	578	8	,	,	PUNCT
ejpam-6024	578	9	2013	2013	NUM
ejpam-6024	578	10	.	.	PUNCT
ejpam-6024	579	1	[	[	X
ejpam-6024	579	2	17	17	NUM
ejpam-6024	579	3	]	]	X
ejpam-6024	579	4	h.	h.	NOUN
ejpam-6024	579	5	ouadjed	ouadjed	PROPN
ejpam-6024	579	6	.	.	PUNCT
ejpam-6024	580	1	estimation	estimation	NOUN
ejpam-6024	580	2	of	of	ADP
ejpam-6024	580	3	the	the	DET
ejpam-6024	580	4	distortion	distortion	NOUN
ejpam-6024	580	5	risk	risk	NOUN
ejpam-6024	580	6	premium	premium	NOUN
ejpam-6024	580	7	for	for	ADP
ejpam-6024	580	8	heavy	heavy	ADJ
ejpam-6024	580	9	-	-	PUNCT
ejpam-6024	580	10	tailed	tail	VERB
ejpam-6024	580	11	losses	loss	NOUN
ejpam-6024	580	12	under	under	ADP
ejpam-6024	580	13	serial	serial	ADJ
ejpam-6024	580	14	dependence	dependence	NOUN
ejpam-6024	580	15	.	.	PUNCT
ejpam-6024	581	1	opuscula	opuscula	PROPN
ejpam-6024	581	2	mathematica	mathematica	PROPN
ejpam-6024	581	3	,	,	PUNCT
ejpam-6024	581	4	38(6):871–882	38(6):871–882	PROPN
ejpam-6024	581	5	,	,	PUNCT
ejpam-6024	581	6	2018	2018	NUM
ejpam-6024	581	7	.	.	PUNCT
ejpam-6024	582	1	[	[	X
ejpam-6024	582	2	18	18	NUM
ejpam-6024	582	3	]	]	PUNCT
ejpam-6024	582	4	m.	m.	NOUN
ejpam-6024	582	5	a.	a.	PROPN
ejpam-6024	582	6	barry	barry	PROPN
ejpam-6024	582	7	,	,	PUNCT
ejpam-6024	582	8	e.	e.	PROPN
ejpam-6024	582	9	h.	h.	PROPN
ejpam-6024	582	10	deme	deme	PROPN
ejpam-6024	582	11	,	,	PUNCT
ejpam-6024	582	12	a.	a.	PROPN
ejpam-6024	582	13	diop	diop	PROPN
ejpam-6024	582	14	,	,	PUNCT
ejpam-6024	582	15	and	and	CCONJ
ejpam-6024	582	16	s.	s.	PROPN
ejpam-6024	582	17	m.	m.	PROPN
ejpam-6024	582	18	manou	manou	PROPN
ejpam-6024	582	19	-	-	PUNCT
ejpam-6024	582	20	abi	abi	PROPN
ejpam-6024	582	21	.	.	PUNCT
ejpam-6024	583	1	improved	improve	VERB
ejpam-6024	583	2	estimators	estimator	NOUN
ejpam-6024	583	3	of	of	ADP
ejpam-6024	583	4	tail	tail	NOUN
ejpam-6024	583	5	index	index	NOUN
ejpam-6024	583	6	and	and	CCONJ
ejpam-6024	583	7	extreme	extreme	ADJ
ejpam-6024	583	8	quantiles	quantile	NOUN
ejpam-6024	583	9	under	under	ADP
ejpam-6024	583	10	dependence	dependence	NOUN
ejpam-6024	583	11	serials	serial	NOUN
ejpam-6024	583	12	.	.	PUNCT
ejpam-6024	584	1	https://hal.inria.fr/hal-03968501	https://hal.inria.fr/hal-03968501	PROPN
ejpam-6024	584	2	,	,	PUNCT
ejpam-6024	584	3	2023	2023	NUM
ejpam-6024	584	4	.	.	PUNCT
ejpam-6024	585	1	[	[	X
ejpam-6024	585	2	19	19	NUM
ejpam-6024	585	3	]	]	X
ejpam-6024	585	4	v.	v.	ADP
ejpam-6024	585	5	chavez	chavez	PROPN
ejpam-6024	585	6	-	-	PUNCT
ejpam-6024	585	7	demoulin	demoulin	PROPN
ejpam-6024	585	8	and	and	CCONJ
ejpam-6024	585	9	a.	a.	NOUN
ejpam-6024	585	10	guillou	guillou	PROPN
ejpam-6024	585	11	.	.	PUNCT
ejpam-6024	586	1	extreme	extreme	ADJ
ejpam-6024	586	2	quantile	quantile	ADJ
ejpam-6024	586	3	estimation	estimation	NOUN
ejpam-6024	586	4	for	for	ADP
ejpam-6024	586	5	β	β	NOUN
ejpam-6024	586	6	-	-	ADJ
ejpam-6024	586	7	mixing	mix	VERB
ejpam-6024	586	8	time	time	NOUN
ejpam-6024	586	9	series	series	NOUN
ejpam-6024	586	10	and	and	CCONJ
ejpam-6024	586	11	applications	application	NOUN
ejpam-6024	586	12	.	.	PUNCT
ejpam-6024	587	1	insurance	insurance	NOUN
ejpam-6024	587	2	:	:	PUNCT
ejpam-6024	587	3	mathematics	mathematic	NOUN
ejpam-6024	587	4	and	and	CCONJ
ejpam-6024	587	5	economics	economic	NOUN
ejpam-6024	587	6	,	,	PUNCT
ejpam-6024	587	7	83:59–74	83:59–74	PROPN
ejpam-6024	587	8	,	,	PUNCT
ejpam-6024	587	9	2018	2018	NUM
ejpam-6024	587	10	.	.	PUNCT
ejpam-6024	588	1	[	[	X
ejpam-6024	588	2	20	20	NUM
ejpam-6024	588	3	]	]	PUNCT
ejpam-6024	588	4	l.	l.	PROPN
ejpam-6024	588	5	de	de	PROPN
ejpam-6024	588	6	haan	haan	PROPN
ejpam-6024	588	7	,	,	PUNCT
ejpam-6024	588	8	c.	c.	PROPN
ejpam-6024	588	9	mercadier	mercadier	PROPN
ejpam-6024	588	10	,	,	PUNCT
ejpam-6024	588	11	and	and	CCONJ
ejpam-6024	588	12	c.	c.	PROPN
ejpam-6024	588	13	zhou	zhou	PROPN
ejpam-6024	588	14	.	.	PUNCT
ejpam-6024	589	1	adapting	adapt	VERB
ejpam-6024	589	2	extreme	extreme	ADJ
ejpam-6024	589	3	value	value	NOUN
ejpam-6024	589	4	statistics	statistic	NOUN
ejpam-6024	589	5	to	to	ADP
ejpam-6024	589	6	financial	financial	ADJ
ejpam-6024	589	7	time	time	NOUN
ejpam-6024	589	8	series	series	PROPN
ejpam-6024	589	9	:	:	PUNCT
ejpam-6024	589	10	dealing	deal	VERB
ejpam-6024	589	11	with	with	ADP
ejpam-6024	589	12	bias	bias	NOUN
ejpam-6024	589	13	and	and	CCONJ
ejpam-6024	589	14	serial	serial	ADJ
ejpam-6024	589	15	dependence	dependence	NOUN
ejpam-6024	589	16	.	.	PUNCT
ejpam-6024	590	1	extremes	extreme	NOUN
ejpam-6024	590	2	,	,	PUNCT
ejpam-6024	590	3	20(2):321–354	20(2):321–354	NOUN
ejpam-6024	590	4	,	,	PUNCT
ejpam-6024	590	5	2016	2016	NUM
ejpam-6024	590	6	.	.	PUNCT
ejpam-6024	591	1	[	[	X
ejpam-6024	591	2	21	21	NUM
ejpam-6024	591	3	]	]	X
ejpam-6024	591	4	i.	i.	PROPN
ejpam-6024	591	5	weissman	weissman	PROPN
ejpam-6024	591	6	.	.	PUNCT
ejpam-6024	592	1	estimation	estimation	NOUN
ejpam-6024	592	2	of	of	ADP
ejpam-6024	592	3	parameters	parameter	NOUN
ejpam-6024	592	4	and	and	CCONJ
ejpam-6024	592	5	large	large	ADJ
ejpam-6024	592	6	quantiles	quantile	NOUN
ejpam-6024	592	7	based	base	VERB
ejpam-6024	592	8	on	on	ADP
ejpam-6024	592	9	the	the	DET
ejpam-6024	592	10	k	k	PROPN
ejpam-6024	592	11	largest	large	ADJ
ejpam-6024	592	12	observations	observation	NOUN
ejpam-6024	592	13	.	.	PUNCT
ejpam-6024	593	1	journal	journal	NOUN
ejpam-6024	593	2	of	of	ADP
ejpam-6024	593	3	the	the	DET
ejpam-6024	593	4	american	american	PROPN
ejpam-6024	593	5	statistical	statistical	PROPN
ejpam-6024	593	6	association	association	PROPN
ejpam-6024	593	7	,	,	PUNCT
ejpam-6024	593	8	73(364):812–815	73(364):812–815	PROPN
ejpam-6024	593	9	,	,	PUNCT
ejpam-6024	593	10	1978	1978	NUM
ejpam-6024	593	11	.	.	PUNCT
ejpam-6024	594	1	[	[	X
ejpam-6024	594	2	22	22	NUM
ejpam-6024	594	3	]	]	PUNCT
ejpam-6024	594	4	m.	m.	PROPN
ejpam-6024	594	5	r.	r.	PROPN
ejpam-6024	594	6	leadbetter	leadbetter	PROPN
ejpam-6024	594	7	,	,	PUNCT
ejpam-6024	594	8	g.	g.	PROPN
ejpam-6024	594	9	lindgren	lindgren	PROPN
ejpam-6024	594	10	,	,	PUNCT
ejpam-6024	594	11	and	and	CCONJ
ejpam-6024	594	12	h.	h.	PROPN
ejpam-6024	594	13	rootzén	rootzén	PROPN
ejpam-6024	594	14	.	.	PUNCT
ejpam-6024	595	1	extremes	extreme	NOUN
ejpam-6024	595	2	and	and	CCONJ
ejpam-6024	595	3	related	related	ADJ
ejpam-6024	595	4	properties	property	NOUN
ejpam-6024	595	5	of	of	ADP
ejpam-6024	595	6	random	random	ADJ
ejpam-6024	595	7	sequences	sequence	NOUN
ejpam-6024	595	8	and	and	CCONJ
ejpam-6024	595	9	processes	process	NOUN
ejpam-6024	595	10	.	.	PUNCT
ejpam-6024	596	1	springer	springer	NOUN
ejpam-6024	596	2	,	,	PUNCT
ejpam-6024	596	3	berlin	berlin	PROPN
ejpam-6024	596	4	,	,	PUNCT
ejpam-6024	596	5	1983	1983	NUM
ejpam-6024	596	6	.	.	PUNCT
ejpam-6024	597	1	[	[	X
ejpam-6024	597	2	23	23	NUM
ejpam-6024	597	3	]	]	X
ejpam-6024	597	4	j.	j.	PROPN
ejpam-6024	597	5	beirlant	beirlant	PROPN
ejpam-6024	597	6	,	,	PUNCT
ejpam-6024	597	7	y.	y.	PROPN
ejpam-6024	597	8	goegebeur	goegebeur	PROPN
ejpam-6024	597	9	,	,	PUNCT
ejpam-6024	597	10	j.	j.	PROPN
ejpam-6024	597	11	teugels	teugels	PROPN
ejpam-6024	597	12	,	,	PUNCT
ejpam-6024	597	13	and	and	CCONJ
ejpam-6024	597	14	j.	j.	PROPN
ejpam-6024	597	15	segers	seger	NOUN
ejpam-6024	597	16	.	.	PUNCT
ejpam-6024	598	1	statistics	statistic	NOUN
ejpam-6024	598	2	of	of	ADP
ejpam-6024	598	3	extremes	extreme	NOUN
ejpam-6024	598	4	:	:	PUNCT
ejpam-6024	598	5	theory	theory	NOUN
ejpam-6024	598	6	and	and	CCONJ
ejpam-6024	598	7	applications	application	NOUN
ejpam-6024	598	8	.	.	PUNCT
ejpam-6024	599	1	wiley	wiley	PROPN
ejpam-6024	599	2	series	series	PROPN
ejpam-6024	599	3	in	in	ADP
ejpam-6024	599	4	probability	probability	NOUN
ejpam-6024	599	5	and	and	CCONJ
ejpam-6024	599	6	statistics	statistic	NOUN
ejpam-6024	599	7	.	.	PUNCT
ejpam-6024	600	1	john	john	PROPN
ejpam-6024	600	2	wiley	wiley	PROPN
ejpam-6024	600	3	&	&	CCONJ
ejpam-6024	600	4	sons	sons	PROPN
ejpam-6024	600	5	,	,	PUNCT
ejpam-6024	600	6	chichester	chichester	PROPN
ejpam-6024	600	7	,	,	PUNCT
ejpam-6024	600	8	2004	2004	NUM
ejpam-6024	600	9	.	.	PUNCT
ejpam-6024	601	1	[	[	X
ejpam-6024	601	2	24	24	NUM
ejpam-6024	601	3	]	]	X
ejpam-6024	601	4	j.	j.	PROPN
ejpam-6024	601	5	beirlant	beirlant	PROPN
ejpam-6024	601	6	,	,	PUNCT
ejpam-6024	601	7	y.	y.	PROPN
ejpam-6024	601	8	goegebeur	goegebeur	PROPN
ejpam-6024	601	9	,	,	PUNCT
ejpam-6024	601	10	r.	r.	PROPN
ejpam-6024	601	11	verlaack	verlaack	PROPN
ejpam-6024	601	12	,	,	PUNCT
ejpam-6024	601	13	and	and	CCONJ
ejpam-6024	601	14	p.	p.	NOUN
ejpam-6024	601	15	vynckier	vynckier	NOUN
ejpam-6024	601	16	.	.	PUNCT
ejpam-6024	602	1	burr	burr	NOUN
ejpam-6024	602	2	regression	regression	PROPN
ejpam-6024	602	3	and	and	CCONJ
ejpam-6024	602	4	portfolio	portfolio	NOUN
ejpam-6024	602	5	segmentation	segmentation	NOUN
ejpam-6024	602	6	.	.	PUNCT
ejpam-6024	603	1	insurance	insurance	NOUN
ejpam-6024	603	2	:	:	PUNCT
ejpam-6024	603	3	mathematics	mathematic	NOUN
ejpam-6024	603	4	and	and	CCONJ
ejpam-6024	603	5	economics	economic	NOUN
ejpam-6024	603	6	,	,	PUNCT
ejpam-6024	603	7	23(3):231–250	23(3):231–250	PROPN
ejpam-6024	603	8	,	,	PUNCT
ejpam-6024	603	9	1998	1998	NUM
ejpam-6024	603	10	.	.	PUNCT
ejpam-6024	604	1	[	[	X
ejpam-6024	604	2	25	25	NUM
ejpam-6024	604	3	]	]	PUNCT
ejpam-6024	604	4	a.	a.	NOUN
ejpam-6024	604	5	necir	necir	PROPN
ejpam-6024	604	6	and	and	CCONJ
ejpam-6024	604	7	d.	d.	PROPN
ejpam-6024	604	8	meraghni	meraghni	PROPN
ejpam-6024	604	9	.	.	PUNCT
ejpam-6024	605	1	empirical	empirical	ADJ
ejpam-6024	605	2	estimation	estimation	NOUN
ejpam-6024	605	3	of	of	ADP
ejpam-6024	605	4	the	the	DET
ejpam-6024	605	5	proportional	proportional	ADJ
ejpam-6024	605	6	hazard	hazard	NOUN
ejpam-6024	605	7	premium	premium	NOUN
ejpam-6024	605	8	for	for	ADP
ejpam-6024	605	9	heavy	heavy	ADJ
ejpam-6024	605	10	-	-	PUNCT
ejpam-6024	605	11	tailed	tail	VERB
ejpam-6024	605	12	claim	claim	NOUN
ejpam-6024	605	13	amounts	amount	VERB
ejpam-6024	605	14	.	.	PUNCT
ejpam-6024	606	1	insurance	insurance	NOUN
ejpam-6024	606	2	:	:	PUNCT
ejpam-6024	606	3	mathematics	mathematic	NOUN
ejpam-6024	606	4	and	and	CCONJ
ejpam-6024	606	5	economics	economic	NOUN
ejpam-6024	606	6	,	,	PUNCT
ejpam-6024	606	7	45(1):49–58	45(1):49–58	NUM
ejpam-6024	606	8	,	,	PUNCT
ejpam-6024	606	9	2009	2009	NUM
ejpam-6024	606	10	.	.	PUNCT
ejpam-6024	607	1	[	[	X
ejpam-6024	607	2	26	26	NUM
ejpam-6024	607	3	]	]	PUNCT
ejpam-6024	607	4	l.	l.	PROPN
ejpam-6024	607	5	peng	peng	PROPN
ejpam-6024	607	6	and	and	CCONJ
ejpam-6024	607	7	y.	y.	PROPN
ejpam-6024	607	8	qi	qi	PROPN
ejpam-6024	607	9	.	.	PUNCT
ejpam-6024	608	1	estimating	estimate	VERB
ejpam-6024	608	2	the	the	DET
ejpam-6024	608	3	firstand	firstand	NOUN
ejpam-6024	608	4	second	second	ADJ
ejpam-6024	608	5	-	-	PUNCT
ejpam-6024	608	6	order	order	NOUN
ejpam-6024	608	7	parameters	parameter	NOUN
ejpam-6024	608	8	of	of	ADP
ejpam-6024	608	9	a	a	DET
ejpam-6024	608	10	heavy	heavy	ADJ
ejpam-6024	608	11	-	-	PUNCT
ejpam-6024	608	12	tailed	tail	VERB
ejpam-6024	608	13	distribution	distribution	NOUN
ejpam-6024	608	14	.	.	PUNCT
ejpam-6024	609	1	australian	australian	PROPN
ejpam-6024	609	2	&	&	CCONJ
ejpam-6024	609	3	new	new	PROPN
ejpam-6024	609	4	zealand	zealand	PROPN
ejpam-6024	609	5	journal	journal	PROPN
ejpam-6024	609	6	of	of	ADP
ejpam-6024	609	7	statistics	statistic	NOUN
ejpam-6024	609	8	,	,	PUNCT
ejpam-6024	609	9	46(2):305–312	46(2):305–312	PROPN
ejpam-6024	609	10	,	,	PUNCT
ejpam-6024	609	11	2004	2004	NUM
ejpam-6024	609	12	.	.	PUNCT
ejpam-6024	610	1	[	[	X
ejpam-6024	610	2	27	27	NUM
ejpam-6024	610	3	]	]	X
ejpam-6024	610	4	h.	h.	PROPN
ejpam-6024	610	5	drees	drees	PROPN
ejpam-6024	610	6	.	.	PUNCT
ejpam-6024	611	1	extreme	extreme	ADJ
ejpam-6024	611	2	quantile	quantile	ADJ
ejpam-6024	611	3	estimation	estimation	NOUN
ejpam-6024	611	4	for	for	ADP
ejpam-6024	611	5	dependent	dependent	ADJ
ejpam-6024	611	6	data	datum	NOUN
ejpam-6024	611	7	,	,	PUNCT
ejpam-6024	611	8	with	with	ADP
ejpam-6024	611	9	applications	application	NOUN
ejpam-6024	611	10	to	to	PART
ejpam-6024	611	11	finance	finance	VERB
ejpam-6024	611	12	.	.	PUNCT
ejpam-6024	612	1	bernoulli	bernoulli	PROPN
ejpam-6024	612	2	,	,	PUNCT
ejpam-6024	612	3	9(4):617–657	9(4):617–657	NUM
ejpam-6024	612	4	,	,	PUNCT
ejpam-6024	612	5	2003	2003	NUM
ejpam-6024	612	6	.	.	PUNCT
ejpam-6024	613	1	[	[	X
ejpam-6024	613	2	28	28	NUM
ejpam-6024	613	3	]	]	X
ejpam-6024	613	4	h.	h.	PROPN
ejpam-6024	613	5	drees	drees	PROPN
ejpam-6024	613	6	.	.	PUNCT
ejpam-6024	614	1	weighted	weight	VERB
ejpam-6024	614	2	approximations	approximation	NOUN
ejpam-6024	614	3	of	of	ADP
ejpam-6024	614	4	tail	tail	NOUN
ejpam-6024	614	5	processes	process	NOUN
ejpam-6024	614	6	for	for	ADP
ejpam-6024	614	7	β	β	NOUN
ejpam-6024	614	8	-	-	ADJ
ejpam-6024	614	9	mixing	mix	VERB
ejpam-6024	614	10	random	random	ADJ
ejpam-6024	614	11	variables	variable	NOUN
ejpam-6024	614	12	.	.	PUNCT
ejpam-6024	615	1	the	the	DET
ejpam-6024	615	2	annals	annal	NOUN
ejpam-6024	615	3	of	of	ADP
ejpam-6024	615	4	applied	apply	VERB
ejpam-6024	615	5	probability	probability	NOUN
ejpam-6024	615	6	,	,	PUNCT
ejpam-6024	615	7	10(4):1274–1301	10(4):1274–1301	PROPN
ejpam-6024	615	8	,	,	PUNCT
ejpam-6024	615	9	2000	2000	NUM
ejpam-6024	615	10	.	.	PUNCT
ejpam-6024	616	1	[	[	X
ejpam-6024	616	2	29	29	NUM
ejpam-6024	616	3	]	]	X
ejpam-6024	616	4	b.	b.	PROPN
ejpam-6024	616	5	m.	m.	PROPN
ejpam-6024	616	6	hill	hill	PROPN
ejpam-6024	616	7	.	.	PUNCT
ejpam-6024	617	1	a	a	DET
ejpam-6024	617	2	simple	simple	ADJ
ejpam-6024	617	3	approach	approach	NOUN
ejpam-6024	617	4	to	to	ADP
ejpam-6024	617	5	inference	inference	NOUN
ejpam-6024	617	6	about	about	ADP
ejpam-6024	617	7	the	the	DET
ejpam-6024	617	8	tail	tail	NOUN
ejpam-6024	617	9	of	of	ADP
ejpam-6024	617	10	a	a	DET
ejpam-6024	617	11	distribution	distribution	NOUN
ejpam-6024	617	12	.	.	PUNCT
ejpam-6024	618	1	the	the	DET
ejpam-6024	618	2	annals	annal	NOUN
ejpam-6024	618	3	of	of	ADP
ejpam-6024	618	4	statistics	statistic	NOUN
ejpam-6024	618	5	,	,	PUNCT
ejpam-6024	618	6	3(5):1136–1174	3(5):1136–1174	PROPN
ejpam-6024	618	7	,	,	PUNCT
ejpam-6024	618	8	1975	1975	NUM
ejpam-6024	618	9	.	.	PUNCT
ejpam-6024	619	1	[	[	X
ejpam-6024	619	2	30	30	NUM
ejpam-6024	619	3	]	]	X
ejpam-6024	619	4	n.	n.	PROPN
ejpam-6024	619	5	h.	h.	PROPN
ejpam-6024	619	6	bingham	bingham	PROPN
ejpam-6024	619	7	,	,	PUNCT
ejpam-6024	619	8	c.	c.	PROPN
ejpam-6024	619	9	m.	m.	PROPN
ejpam-6024	619	10	goldie	goldie	PROPN
ejpam-6024	619	11	,	,	PUNCT
ejpam-6024	619	12	and	and	CCONJ
ejpam-6024	619	13	j.	j.	PROPN
ejpam-6024	619	14	l.	l.	PROPN
ejpam-6024	619	15	teugels	teugels	PROPN
ejpam-6024	619	16	.	.	PUNCT
ejpam-6024	620	1	regular	regular	ADJ
ejpam-6024	620	2	variation	variation	NOUN
ejpam-6024	620	3	.	.	PUNCT
ejpam-6024	621	1	cambridge	cambridge	PROPN
ejpam-6024	621	2	university	university	PROPN
ejpam-6024	621	3	press	press	PROPN
ejpam-6024	621	4	,	,	PUNCT
ejpam-6024	621	5	cambridge	cambridge	PROPN
ejpam-6024	621	6	,	,	PUNCT
ejpam-6024	621	7	1987	1987	NUM
ejpam-6024	621	8	.	.	PUNCT
ejpam-6024	622	1	[	[	X
ejpam-6024	622	2	31	31	NUM
ejpam-6024	622	3	]	]	PUNCT
ejpam-6024	622	4	j.	j.	PROPN
ejpam-6024	622	5	l.	l.	PROPN
ejpam-6024	622	6	geluk	geluk	PROPN
ejpam-6024	622	7	and	and	CCONJ
ejpam-6024	622	8	l.	l.	PROPN
ejpam-6024	622	9	de	de	PROPN
ejpam-6024	622	10	haan	haan	PROPN
ejpam-6024	622	11	.	.	PUNCT
ejpam-6024	623	1	regular	regular	ADJ
ejpam-6024	623	2	variation	variation	NOUN
ejpam-6024	623	3	,	,	PUNCT
ejpam-6024	623	4	extensions	extension	NOUN
ejpam-6024	623	5	and	and	CCONJ
ejpam-6024	623	6	tauberian	tauberian	ADJ
ejpam-6024	623	7	theorems	theorem	NOUN
ejpam-6024	623	8	,	,	PUNCT
ejpam-6024	623	9	volume	volume	NOUN
ejpam-6024	623	10	40	40	NUM
ejpam-6024	623	11	of	of	ADP
ejpam-6024	623	12	cwi	cwi	NOUN
ejpam-6024	623	13	tract	tract	NOUN
ejpam-6024	623	14	.	.	PUNCT
ejpam-6024	624	1	center	center	NOUN
ejpam-6024	624	2	for	for	ADP
ejpam-6024	624	3	mathematics	mathematics	NOUN
ejpam-6024	624	4	and	and	CCONJ
ejpam-6024	624	5	computer	computer	NOUN
ejpam-6024	624	6	science	science	NOUN
ejpam-6024	624	7	,	,	PUNCT
ejpam-6024	624	8	amsterdam	amsterdam	PROPN
ejpam-6024	624	9	,	,	PUNCT
ejpam-6024	624	10	1987	1987	NUM
ejpam-6024	624	11	.	.	PUNCT
ejpam-6024	625	1	[	[	X
ejpam-6024	625	2	32	32	NUM
ejpam-6024	625	3	]	]	PUNCT
ejpam-6024	625	4	m.	m.	NOUN
ejpam-6024	625	5	i.	i.	PROPN
ejpam-6024	625	6	gomes	gomes	PROPN
ejpam-6024	625	7	,	,	PUNCT
ejpam-6024	625	8	l.	l.	PROPN
ejpam-6024	625	9	de	de	PROPN
ejpam-6024	625	10	haan	haan	PROPN
ejpam-6024	625	11	,	,	PUNCT
ejpam-6024	625	12	and	and	CCONJ
ejpam-6024	625	13	l.	l.	PROPN
ejpam-6024	625	14	peng	peng	PROPN
ejpam-6024	625	15	.	.	PUNCT
ejpam-6024	626	1	semi	semi	ADJ
ejpam-6024	626	2	-	-	ADJ
ejpam-6024	626	3	parametric	parametric	ADJ
ejpam-6024	626	4	estimation	estimation	NOUN
ejpam-6024	626	5	of	of	ADP
ejpam-6024	626	6	the	the	DET
ejpam-6024	626	7	second	second	ADJ
ejpam-6024	626	8	order	order	NOUN
ejpam-6024	626	9	parameter	parameter	NOUN
ejpam-6024	626	10	in	in	ADP
ejpam-6024	626	11	statistics	statistic	NOUN
ejpam-6024	626	12	of	of	ADP
ejpam-6024	626	13	extremes	extreme	NOUN
ejpam-6024	626	14	.	.	PUNCT
ejpam-6024	627	1	extremes	extreme	NOUN
ejpam-6024	627	2	,	,	PUNCT
ejpam-6024	627	3	5(4):387–414	5(4):387–414	NOUN
ejpam-6024	627	4	,	,	PUNCT
ejpam-6024	627	5	2002	2002	NUM
ejpam-6024	627	6	.	.	PUNCT
ejpam-6024	628	1	[	[	X
ejpam-6024	628	2	33	33	NUM
ejpam-6024	628	3	]	]	X
ejpam-6024	628	4	e.	e.	PROPN
ejpam-6024	628	5	h.	h.	PROPN
ejpam-6024	628	6	deme	deme	PROPN
ejpam-6024	628	7	,	,	PUNCT
ejpam-6024	628	8	l.	l.	PROPN
ejpam-6024	628	9	gardes	gardes	PROPN
ejpam-6024	628	10	,	,	PUNCT
ejpam-6024	628	11	and	and	CCONJ
ejpam-6024	628	12	s.	s.	PROPN
ejpam-6024	628	13	girard	girard	PROPN
ejpam-6024	628	14	.	.	PUNCT
ejpam-6024	629	1	on	on	ADP
ejpam-6024	629	2	the	the	DET
ejpam-6024	629	3	estimation	estimation	NOUN
ejpam-6024	629	4	of	of	ADP
ejpam-6024	629	5	the	the	DET
ejpam-6024	629	6	second	second	ADJ
ejpam-6024	629	7	order	order	NOUN
ejpam-6024	629	8	parameter	parameter	NOUN
ejpam-6024	629	9	for	for	ADP
ejpam-6024	629	10	heavy	heavy	ADJ
ejpam-6024	629	11	-	-	PUNCT
ejpam-6024	629	12	tailed	tail	VERB
ejpam-6024	629	13	distributions	distribution	NOUN
ejpam-6024	629	14	.	.	PUNCT
ejpam-6024	630	1	revstat	revstat	PROPN
ejpam-6024	630	2	statistical	statistical	ADJ
ejpam-6024	630	3	journal	journal	NOUN
ejpam-6024	630	4	,	,	PUNCT
ejpam-6024	630	5	11(3):277–299	11(3):277–299	PROPN
ejpam-6024	630	6	,	,	PUNCT
ejpam-6024	630	7	2013	2013	NUM
ejpam-6024	630	8	.	.	PUNCT