id	sid	tid	token	lemma	pos
ejpam-3834	1	1	european	european	PROPN
ejpam-3834	1	2	journal	journal	PROPN
ejpam-3834	1	3	of	of	ADP
ejpam-3834	1	4	pure	pure	ADJ
ejpam-3834	1	5	and	and	CCONJ
ejpam-3834	1	6	applied	apply	VERB
ejpam-3834	1	7	mathematics	mathematic	NOUN
ejpam-3834	1	8	vol	vol	NOUN
ejpam-3834	1	9	.	.	PROPN
ejpam-3834	2	1	13	13	NUM
ejpam-3834	2	2	,	,	PUNCT
ejpam-3834	2	3	no	no	INTJ
ejpam-3834	2	4	.	.	NOUN
ejpam-3834	2	5	4	4	NUM
ejpam-3834	2	6	,	,	PUNCT
ejpam-3834	2	7	2020	2020	NUM
ejpam-3834	2	8	,	,	PUNCT
ejpam-3834	2	9	739	739	NUM
ejpam-3834	2	10	-	-	SYM
ejpam-3834	2	11	757	757	NUM
ejpam-3834	2	12	issn	issn	PROPN
ejpam-3834	2	13	1307	1307	NUM
ejpam-3834	2	14	-	-	SYM
ejpam-3834	2	15	5543	5543	NUM
ejpam-3834	2	16	–	–	PUNCT
ejpam-3834	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3834	2	18	published	publish	VERB
ejpam-3834	2	19	by	by	ADP
ejpam-3834	2	20	new	new	PROPN
ejpam-3834	2	21	york	york	PROPN
ejpam-3834	2	22	business	business	PROPN
ejpam-3834	2	23	global	global	PROPN
ejpam-3834	2	24	extremes	extreme	NOUN
ejpam-3834	2	25	,	,	PUNCT
ejpam-3834	2	26	extremal	extremal	ADJ
ejpam-3834	2	27	index	index	NOUN
ejpam-3834	2	28	estimation	estimation	NOUN
ejpam-3834	2	29	,	,	PUNCT
ejpam-3834	2	30	records	record	NOUN
ejpam-3834	2	31	,	,	PUNCT
ejpam-3834	2	32	moment	moment	VERB
ejpam-3834	2	33	problem	problem	NOUN
ejpam-3834	2	34	for	for	ADP
ejpam-3834	2	35	the	the	DET
ejpam-3834	2	36	pseudo	pseudo	NOUN
ejpam-3834	2	37	-	-	ADJ
ejpam-3834	2	38	lindley	lindley	ADJ
ejpam-3834	2	39	distribution	distribution	NOUN
ejpam-3834	2	40	and	and	CCONJ
ejpam-3834	2	41	applications	application	NOUN
ejpam-3834	2	42	gane	gane	NOUN
ejpam-3834	2	43	samb	samb	PROPN
ejpam-3834	2	44	lo1,2,3,∗	lo1,2,3,∗	NOUN
ejpam-3834	2	45	,	,	PUNCT
ejpam-3834	2	46	modou	modou	PROPN
ejpam-3834	2	47	ngom4	ngom4	PROPN
ejpam-3834	2	48	,	,	PUNCT
ejpam-3834	2	49	moumouni	moumouni	ADJ
ejpam-3834	2	50	diallo5	diallo5	NOUN
ejpam-3834	2	51	1	1	NUM
ejpam-3834	2	52	lerstad	lerstad	NOUN
ejpam-3834	2	53	,	,	PUNCT
ejpam-3834	2	54	gaston	gaston	PROPN
ejpam-3834	2	55	berger	berger	PROPN
ejpam-3834	2	56	university	university	PROPN
ejpam-3834	2	57	,	,	PUNCT
ejpam-3834	2	58	saint	saint	NOUN
ejpam-3834	2	59	-	-	PUNCT
ejpam-3834	2	60	louis	louis	NOUN
ejpam-3834	2	61	,	,	PUNCT
ejpam-3834	2	62	sénégal	sénégal	ADJ
ejpam-3834	2	63	2	2	NUM
ejpam-3834	2	64	lsta	lsta	NOUN
ejpam-3834	2	65	,	,	PUNCT
ejpam-3834	2	66	pierre	pierre	NOUN
ejpam-3834	2	67	and	and	CCONJ
ejpam-3834	2	68	marie	marie	PROPN
ejpam-3834	2	69	curie	curie	PROPN
ejpam-3834	2	70	university	university	PROPN
ejpam-3834	2	71	,	,	PUNCT
ejpam-3834	2	72	paris	paris	PROPN
ejpam-3834	2	73	vi	vi	PROPN
ejpam-3834	2	74	,	,	PUNCT
ejpam-3834	2	75	france	france	PROPN
ejpam-3834	2	76	.	.	PUNCT
ejpam-3834	3	1	3	3	NUM
ejpam-3834	3	2	aust	aust	PROPN
ejpam-3834	3	3	african	african	PROPN
ejpam-3834	3	4	university	university	PROPN
ejpam-3834	3	5	of	of	ADP
ejpam-3834	3	6	sciences	science	NOUN
ejpam-3834	3	7	and	and	CCONJ
ejpam-3834	3	8	technology	technology	NOUN
ejpam-3834	3	9	,	,	PUNCT
ejpam-3834	3	10	abuja	abuja	PROPN
ejpam-3834	3	11	,	,	PUNCT
ejpam-3834	3	12	nigeria	nigeria	PROPN
ejpam-3834	3	13	4	4	NUM
ejpam-3834	3	14	lerstad	lerstad	PROPN
ejpam-3834	3	15	,	,	PUNCT
ejpam-3834	3	16	gaston	gaston	PROPN
ejpam-3834	3	17	berger	berger	PROPN
ejpam-3834	3	18	university	university	PROPN
ejpam-3834	3	19	,	,	PUNCT
ejpam-3834	3	20	saint	saint	NOUN
ejpam-3834	3	21	-	-	PUNCT
ejpam-3834	3	22	louis	louis	NOUN
ejpam-3834	3	23	,	,	PUNCT
ejpam-3834	3	24	sénégal	sénégal	PROPN
ejpam-3834	3	25	ministry	ministry	PROPN
ejpam-3834	3	26	of	of	ADP
ejpam-3834	3	27	high	high	ADJ
ejpam-3834	3	28	school	school	NOUN
ejpam-3834	3	29	,	,	PUNCT
ejpam-3834	3	30	sénégal	sénégal	ADJ
ejpam-3834	3	31	5	5	NUM
ejpam-3834	3	32	faculté	faculté	X
ejpam-3834	3	33	des	des	X
ejpam-3834	3	34	sciences	sciences	PROPN
ejpam-3834	3	35	économiques	économiques	PROPN
ejpam-3834	3	36	et	et	X
ejpam-3834	3	37	de	de	X
ejpam-3834	3	38	gestion	gestion	PROPN
ejpam-3834	3	39	(	(	PUNCT
ejpam-3834	3	40	fseg	fseg	NOUN
ejpam-3834	3	41	)	)	PUNCT
ejpam-3834	3	42	,	,	PUNCT
ejpam-3834	3	43	université	université	NOUN
ejpam-3834	3	44	des	des	PROPN
ejpam-3834	3	45	sciences	sciences	PROPN
ejpam-3834	3	46	sociale	sociale	PROPN
ejpam-3834	3	47	et	et	PROPN
ejpam-3834	3	48	de	de	X
ejpam-3834	3	49	gestion	gestion	PROPN
ejpam-3834	3	50	de	de	X
ejpam-3834	3	51	bamako	bamako	PROPN
ejpam-3834	3	52	(	(	PUNCT
ejpam-3834	3	53	ussgb	ussgb	PROPN
ejpam-3834	3	54	)	)	PUNCT
ejpam-3834	3	55	,	,	PUNCT
ejpam-3834	3	56	mali	mali	PROPN
ejpam-3834	3	57	abstract	abstract	NOUN
ejpam-3834	3	58	.	.	PUNCT
ejpam-3834	4	1	the	the	DET
ejpam-3834	4	2	pseudo	pseudo	NOUN
ejpam-3834	4	3	-	-	ADJ
ejpam-3834	4	4	lindley	lindley	ADJ
ejpam-3834	4	5	distribution	distribution	NOUN
ejpam-3834	4	6	which	which	PRON
ejpam-3834	4	7	was	be	AUX
ejpam-3834	4	8	introduced	introduce	VERB
ejpam-3834	4	9	in	in	ADP
ejpam-3834	4	10	zeghdoudi	zeghdoudi	NOUN
ejpam-3834	4	11	and	and	CCONJ
ejpam-3834	4	12	nedjar	nedjar	NOUN
ejpam-3834	4	13	(	(	PUNCT
ejpam-3834	4	14	2016	2016	NUM
ejpam-3834	4	15	)	)	PUNCT
ejpam-3834	4	16	is	be	AUX
ejpam-3834	4	17	studied	study	VERB
ejpam-3834	4	18	with	with	ADP
ejpam-3834	4	19	regards	regard	NOUN
ejpam-3834	4	20	to	to	ADP
ejpam-3834	4	21	it	it	PRON
ejpam-3834	4	22	upper	upper	ADJ
ejpam-3834	4	23	tail	tail	NOUN
ejpam-3834	4	24	.	.	PUNCT
ejpam-3834	5	1	in	in	ADP
ejpam-3834	5	2	that	that	DET
ejpam-3834	5	3	regard	regard	NOUN
ejpam-3834	5	4	,	,	PUNCT
ejpam-3834	5	5	and	and	CCONJ
ejpam-3834	5	6	when	when	SCONJ
ejpam-3834	5	7	the	the	DET
ejpam-3834	5	8	underlying	underlie	VERB
ejpam-3834	5	9	distribution	distribution	NOUN
ejpam-3834	5	10	function	function	NOUN
ejpam-3834	5	11	follows	follow	VERB
ejpam-3834	5	12	the	the	DET
ejpam-3834	5	13	pseudo	pseudo	NOUN
ejpam-3834	5	14	-	-	ADJ
ejpam-3834	5	15	lindley	lindley	ADJ
ejpam-3834	5	16	law	law	NOUN
ejpam-3834	5	17	,	,	PUNCT
ejpam-3834	5	18	we	we	PRON
ejpam-3834	5	19	investigate	investigate	VERB
ejpam-3834	5	20	the	the	DET
ejpam-3834	5	21	behavior	behavior	NOUN
ejpam-3834	5	22	of	of	ADP
ejpam-3834	5	23	its	its	PRON
ejpam-3834	5	24	values	value	NOUN
ejpam-3834	5	25	,	,	PUNCT
ejpam-3834	5	26	the	the	DET
ejpam-3834	5	27	asymptotic	asymptotic	ADJ
ejpam-3834	5	28	normality	normality	NOUN
ejpam-3834	5	29	of	of	ADP
ejpam-3834	5	30	the	the	DET
ejpam-3834	5	31	hill	hill	NOUN
ejpam-3834	5	32	estimator	estimator	NOUN
ejpam-3834	5	33	and	and	CCONJ
ejpam-3834	5	34	the	the	DET
ejpam-3834	5	35	double	double	ADJ
ejpam-3834	5	36	-	-	PUNCT
ejpam-3834	5	37	indexed	index	VERB
ejpam-3834	5	38	generalized	generalized	ADJ
ejpam-3834	5	39	hill	hill	NOUN
ejpam-3834	5	40	statistic	statistic	NOUN
ejpam-3834	5	41	process	process	NOUN
ejpam-3834	5	42	(	(	PUNCT
ejpam-3834	5	43	ngom	ngom	ADJ
ejpam-3834	5	44	and	and	CCONJ
ejpam-3834	5	45	lo	lo	PROPN
ejpam-3834	5	46	,	,	PUNCT
ejpam-3834	5	47	2016	2016	NUM
ejpam-3834	5	48	)	)	PUNCT
ejpam-3834	5	49	,	,	PUNCT
ejpam-3834	5	50	the	the	DET
ejpam-3834	5	51	asymptotic	asymptotic	ADJ
ejpam-3834	5	52	normality	normality	NOUN
ejpam-3834	5	53	of	of	ADP
ejpam-3834	5	54	the	the	DET
ejpam-3834	5	55	records	record	NOUN
ejpam-3834	5	56	values	value	NOUN
ejpam-3834	5	57	and	and	CCONJ
ejpam-3834	5	58	the	the	DET
ejpam-3834	5	59	moment	moment	NOUN
ejpam-3834	5	60	problem	problem	NOUN
ejpam-3834	5	61	.	.	PUNCT
ejpam-3834	6	1	2020	2020	NUM
ejpam-3834	6	2	mathematics	mathematic	NOUN
ejpam-3834	6	3	subject	subject	NOUN
ejpam-3834	6	4	classifications	classification	NOUN
ejpam-3834	6	5	:	:	PUNCT
ejpam-3834	6	6	6og70	6og70	ADV
ejpam-3834	6	7	,	,	PUNCT
ejpam-3834	6	8	62g20,62h10,62h15	62g20,62h10,62h15	NUM
ejpam-3834	6	9	key	key	ADJ
ejpam-3834	6	10	words	word	NOUN
ejpam-3834	6	11	and	and	CCONJ
ejpam-3834	6	12	phrases	phrase	NOUN
ejpam-3834	6	13	:	:	PUNCT
ejpam-3834	6	14	lindley	lindley	NOUN
ejpam-3834	6	15	’s	’s	PART
ejpam-3834	6	16	distribution	distribution	NOUN
ejpam-3834	6	17	,	,	PUNCT
ejpam-3834	6	18	pseudo	pseudo	NOUN
ejpam-3834	6	19	-	-	ADJ
ejpam-3834	6	20	lindley	lindley	ADJ
ejpam-3834	6	21	distribution	distribution	NOUN
ejpam-3834	6	22	,	,	PUNCT
ejpam-3834	6	23	extreme	extreme	ADJ
ejpam-3834	6	24	value	value	NOUN
ejpam-3834	6	25	theory	theory	NOUN
ejpam-3834	6	26	,	,	PUNCT
ejpam-3834	6	27	record	record	NOUN
ejpam-3834	6	28	values	value	NOUN
ejpam-3834	6	29	,	,	PUNCT
ejpam-3834	6	30	hill	hill	PROPN
ejpam-3834	6	31	’s	’s	PART
ejpam-3834	6	32	estimator	estimator	NOUN
ejpam-3834	6	33	,	,	PUNCT
ejpam-3834	6	34	asymptotic	asymptotic	ADJ
ejpam-3834	6	35	laws	law	NOUN
ejpam-3834	6	36	1	1	NUM
ejpam-3834	6	37	.	.	PUNCT
ejpam-3834	6	38	introduction	introduction	NOUN
ejpam-3834	6	39	1	1	NUM
ejpam-3834	6	40	.	.	PUNCT
ejpam-3834	6	41	general	general	ADJ
ejpam-3834	6	42	facts	fact	NOUN
ejpam-3834	6	43	.	.	PUNCT
ejpam-3834	7	1	the	the	DET
ejpam-3834	7	2	following	follow	VERB
ejpam-3834	7	3	probability	probability	NOUN
ejpam-3834	7	4	distribution	distribution	NOUN
ejpam-3834	7	5	function	function	NOUN
ejpam-3834	7	6	(	(	PUNCT
ejpam-3834	7	7	pdf	pdf	NOUN
ejpam-3834	7	8	)	)	PUNCT
ejpam-3834	7	9	,	,	PUNCT
ejpam-3834	7	10	named	name	VERB
ejpam-3834	7	11	as	as	ADP
ejpam-3834	7	12	the	the	DET
ejpam-3834	7	13	pseudo	pseudo	NOUN
ejpam-3834	7	14	-	-	ADJ
ejpam-3834	7	15	lindley	lindley	ADJ
ejpam-3834	7	16	pdf	pdf	NOUN
ejpam-3834	7	17	,	,	PUNCT
ejpam-3834	7	18	f(x	f(x	PROPN
ejpam-3834	7	19	)	)	PUNCT
ejpam-3834	7	20	=	=	SYM
ejpam-3834	7	21	f(x	f(x	PROPN
ejpam-3834	7	22	,	,	PUNCT
ejpam-3834	7	23	θ	θ	PROPN
ejpam-3834	7	24	,	,	PUNCT
ejpam-3834	7	25	β	β	NOUN
ejpam-3834	7	26	)	)	PUNCT
ejpam-3834	7	27	=	=	VERB
ejpam-3834	7	28	θ(β	θ(β	VERB
ejpam-3834	7	29	−	−	NOUN
ejpam-3834	7	30	1	1	NUM
ejpam-3834	7	31	+	+	CCONJ
ejpam-3834	7	32	θx)e−θx	θx)e−θx	PUNCT
ejpam-3834	7	33	β	β	X
ejpam-3834	7	34	1(x≥0	1(x≥0	NUM
ejpam-3834	7	35	)	)	PUNCT
ejpam-3834	7	36	(	(	PUNCT
ejpam-3834	7	37	1	1	X
ejpam-3834	7	38	)	)	PUNCT
ejpam-3834	7	39	with	with	ADP
ejpam-3834	7	40	parameters	parameter	NOUN
ejpam-3834	7	41	θ	θ	X
ejpam-3834	7	42	>	>	PUNCT
ejpam-3834	7	43	0	0	PUNCT
ejpam-3834	7	44	and	and	CCONJ
ejpam-3834	7	45	β	β	X
ejpam-3834	7	46	>	>	X
ejpam-3834	7	47	1	1	NUM
ejpam-3834	7	48	,	,	PUNCT
ejpam-3834	7	49	has	have	AUX
ejpam-3834	7	50	been	be	AUX
ejpam-3834	7	51	introduced	introduce	VERB
ejpam-3834	7	52	by	by	ADP
ejpam-3834	7	53	[	[	X
ejpam-3834	7	54	15	15	NUM
ejpam-3834	7	55	]	]	PUNCT
ejpam-3834	7	56	as	as	ADP
ejpam-3834	7	57	a	a	DET
ejpam-3834	7	58	generalization	generalization	NOUN
ejpam-3834	7	59	of	of	ADP
ejpam-3834	7	60	the	the	DET
ejpam-3834	7	61	lindley	lindley	NOUN
ejpam-3834	7	62	pdf	pdf	NOUN
ejpam-3834	7	63	:	:	PUNCT
ejpam-3834	7	64	∗corresponding	∗corresponde	VERB
ejpam-3834	7	65	author	author	NOUN
ejpam-3834	7	66	.	.	PUNCT
ejpam-3834	8	1	doi	doi	NOUN
ejpam-3834	8	2	:	:	PUNCT
ejpam-3834	8	3	https://doi.org/10.29020/nybg.ejpam.v13i4.3834	https://doi.org/10.29020/nybg.ejpam.v13i4.3834	NOUN
ejpam-3834	8	4	email	email	NOUN
ejpam-3834	8	5	addresses	address	NOUN
ejpam-3834	8	6	:	:	PUNCT
ejpam-3834	8	7	gane-samb.lo@ugb.edu.sn	gane-samb.lo@ugb.edu.sn	NUM
ejpam-3834	8	8	,	,	PUNCT
ejpam-3834	8	9	gslo@aust.edu.ng	gslo@aust.edu.ng	NOUN
ejpam-3834	8	10	,	,	PUNCT
ejpam-3834	8	11	ganesamblo@ganesamblo.net	ganesamblo@ganesamblo.net	PROPN
ejpam-3834	8	12	(	(	PUNCT
ejpam-3834	8	13	g.s	g.s	PROPN
ejpam-3834	8	14	.	.	PROPN
ejpam-3834	8	15	lo	lo	PROPN
ejpam-3834	8	16	)	)	PUNCT
ejpam-3834	8	17	,	,	PUNCT
ejpam-3834	8	18	modou.ngom4@education.sn	modou.ngom4@education.sn	NOUN
ejpam-3834	8	19	,	,	PUNCT
ejpam-3834	8	20	ngom.modou1@ugb.edu.sn	ngom.modou1@ugb.edu.sn	NOUN
ejpam-3834	8	21	,	,	PUNCT
ejpam-3834	8	22	ngomodoungom@gmail.com	ngomodoungom@gmail.com	X
ejpam-3834	8	23	(	(	PUNCT
ejpam-3834	8	24	m.	m.	NOUN
ejpam-3834	8	25	ngom	ngom	ADV
ejpam-3834	8	26	)	)	PUNCT
ejpam-3834	8	27	,	,	PUNCT
ejpam-3834	8	28	moudiallo1@gmail.com	moudiallo1@gmail.com	X
ejpam-3834	8	29	(	(	PUNCT
ejpam-3834	8	30	m.	m.	PROPN
ejpam-3834	8	31	diallo	diallo	PROPN
ejpam-3834	8	32	)	)	PUNCT
ejpam-3834	8	33	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3834	9	1	739	739	NUM
ejpam-3834	9	2	c	c	AUX
ejpam-3834	9	3	©	©	PROPN
ejpam-3834	9	4	2020	2020	NUM
ejpam-3834	9	5	ejpam	ejpam	VERB
ejpam-3834	9	6	all	all	DET
ejpam-3834	9	7	rights	right	NOUN
ejpam-3834	9	8	reserved	reserve	VERB
ejpam-3834	9	9	.	.	PUNCT
ejpam-3834	10	1	g.s	g.s	PROPN
ejpam-3834	10	2	.	.	PROPN
ejpam-3834	10	3	lo	lo	PROPN
ejpam-3834	10	4	,	,	PUNCT
ejpam-3834	10	5	m.	m.	NOUN
ejpam-3834	10	6	ngom	ngom	PROPN
ejpam-3834	10	7	,	,	PUNCT
ejpam-3834	10	8	m.diallo	m.diallo	PROPN
ejpam-3834	10	9	/	/	SYM
ejpam-3834	10	10	eur	eur	PROPN
ejpam-3834	10	11	.	.	PUNCT
ejpam-3834	11	1	j.	j.	PROPN
ejpam-3834	11	2	pure	pure	PROPN
ejpam-3834	11	3	appl	appl	PROPN
ejpam-3834	11	4	.	.	PROPN
ejpam-3834	11	5	math	math	PROPN
ejpam-3834	11	6	,	,	PUNCT
ejpam-3834	11	7	13	13	NUM
ejpam-3834	11	8	(	(	PUNCT
ejpam-3834	11	9	4	4	NUM
ejpam-3834	11	10	)	)	PUNCT
ejpam-3834	11	11	(	(	PUNCT
ejpam-3834	11	12	2020	2020	NUM
ejpam-3834	11	13	)	)	PUNCT
ejpam-3834	11	14	,	,	PUNCT
ejpam-3834	11	15	739	739	NUM
ejpam-3834	11	16	-	-	SYM
ejpam-3834	11	17	757	757	NUM
ejpam-3834	11	18	740	740	NUM
ejpam-3834	11	19	`	`	PUNCT
ejpam-3834	11	20	(	(	PUNCT
ejpam-3834	11	21	x	x	X
ejpam-3834	11	22	)	)	PUNCT
ejpam-3834	11	23	=	=	SYM
ejpam-3834	11	24	θ2(1	θ2(1	NOUN
ejpam-3834	11	25	+	+	CCONJ
ejpam-3834	11	26	x)e−θx	x)e−θx	NOUN
ejpam-3834	11	27	1	1	NUM
ejpam-3834	11	28	+	+	NUM
ejpam-3834	11	29	θ	θ	NOUN
ejpam-3834	11	30	1(x≥0	1(x≥0	NUM
ejpam-3834	11	31	)	)	PUNCT
ejpam-3834	11	32	,	,	PUNCT
ejpam-3834	11	33	(	(	PUNCT
ejpam-3834	11	34	2	2	X
ejpam-3834	11	35	)	)	PUNCT
ejpam-3834	11	36	in	in	ADP
ejpam-3834	11	37	the	the	DET
ejpam-3834	11	38	sense	sense	NOUN
ejpam-3834	11	39	that	that	SCONJ
ejpam-3834	11	40	for	for	ADP
ejpam-3834	11	41	β	β	X
ejpam-3834	11	42	=	=	SYM
ejpam-3834	11	43	1	1	NUM
ejpam-3834	11	44	+	+	NUM
ejpam-3834	11	45	θ	θ	PROPN
ejpam-3834	11	46	,	,	PUNCT
ejpam-3834	11	47	f	f	X
ejpam-3834	11	48	(	(	PUNCT
ejpam-3834	11	49	◦	◦	NOUN
ejpam-3834	11	50	)	)	PUNCT
ejpam-3834	11	51	is	be	AUX
ejpam-3834	11	52	identical	identical	ADJ
ejpam-3834	11	53	to	to	ADP
ejpam-3834	11	54	`	`	PUNCT
ejpam-3834	11	55	(	(	PUNCT
ejpam-3834	11	56	◦	◦	NOUN
ejpam-3834	11	57	)	)	PUNCT
ejpam-3834	11	58	.	.	PUNCT
ejpam-3834	12	1	actually	actually	ADV
ejpam-3834	12	2	,	,	PUNCT
ejpam-3834	12	3	f	f	PROPN
ejpam-3834	12	4	derives	derive	VERB
ejpam-3834	12	5	from	from	ADP
ejpam-3834	12	6	`	`	PUNCT
ejpam-3834	12	7	by	by	ADP
ejpam-3834	12	8	a	a	DET
ejpam-3834	12	9	mixture	mixture	NOUN
ejpam-3834	12	10	of	of	ADP
ejpam-3834	12	11	a	a	DET
ejpam-3834	12	12	lindley	lindley	NOUN
ejpam-3834	12	13	distributed	distribute	VERB
ejpam-3834	12	14	random	random	ADJ
ejpam-3834	12	15	variable	variable	NOUN
ejpam-3834	12	16	and	and	CCONJ
ejpam-3834	12	17	an	an	DET
ejpam-3834	12	18	independent	independent	ADJ
ejpam-3834	12	19	γ(2	γ(2	PROPN
ejpam-3834	12	20	,	,	PUNCT
ejpam-3834	12	21	θ	θ	NOUN
ejpam-3834	12	22	)	)	PUNCT
ejpam-3834	12	23	random	random	ADJ
ejpam-3834	12	24	variables	variable	NOUN
ejpam-3834	12	25	with	with	ADP
ejpam-3834	12	26	mixture	mixture	NOUN
ejpam-3834	12	27	coefficients	coefficient	NOUN
ejpam-3834	12	28	r1	r1	NOUN
ejpam-3834	12	29	=	=	SYM
ejpam-3834	12	30	(	(	PUNCT
ejpam-3834	12	31	β	β	X
ejpam-3834	12	32	−	−	PROPN
ejpam-3834	12	33	1)/β	1)/β	NUM
ejpam-3834	12	34	and	and	CCONJ
ejpam-3834	12	35	r2	r2	PROPN
ejpam-3834	12	36	=	=	NOUN
ejpam-3834	12	37	1	1	NUM
ejpam-3834	12	38	/	/	SYM
ejpam-3834	12	39	β	β	NOUN
ejpam-3834	12	40	,	,	PUNCT
ejpam-3834	12	41	where	where	SCONJ
ejpam-3834	12	42	1	1	NUM
ejpam-3834	12	43	<	<	X
ejpam-3834	12	44	r1	r1	PROPN
ejpam-3834	12	45	,	,	PUNCT
ejpam-3834	12	46	r2	r2	PROPN
ejpam-3834	12	47	<	<	X
ejpam-3834	12	48	1	1	NUM
ejpam-3834	12	49	and	and	CCONJ
ejpam-3834	12	50	r1	r1	NOUN
ejpam-3834	12	51	+	+	CCONJ
ejpam-3834	12	52	r2	r2	NOUN
ejpam-3834	12	53	=	=	SYM
ejpam-3834	12	54	1	1	X
ejpam-3834	12	55	.	.	PUNCT
ejpam-3834	13	1	the	the	DET
ejpam-3834	13	2	cumulative	cumulative	ADJ
ejpam-3834	13	3	distribution	distribution	NOUN
ejpam-3834	13	4	cdf	cdf	NOUN
ejpam-3834	13	5	function	function	NOUN
ejpam-3834	13	6	is	be	AUX
ejpam-3834	13	7	given	give	VERB
ejpam-3834	13	8	by	by	ADP
ejpam-3834	13	9	1−	1−	NUM
ejpam-3834	13	10	f	f	X
ejpam-3834	13	11	(	(	PUNCT
ejpam-3834	13	12	x	x	NOUN
ejpam-3834	13	13	)	)	PUNCT
ejpam-3834	13	14	=	=	SYM
ejpam-3834	13	15	(	(	PUNCT
ejpam-3834	13	16	β−1(β	β−1(β	PROPN
ejpam-3834	13	17	+	+	CCONJ
ejpam-3834	13	18	θx)e−θx	θx)e−θx	PUNCT
ejpam-3834	13	19	)	)	PUNCT
ejpam-3834	13	20	1(x≥0	1(x≥0	NUM
ejpam-3834	13	21	)	)	PUNCT
ejpam-3834	13	22	.	.	PUNCT
ejpam-3834	14	1	the	the	DET
ejpam-3834	14	2	lindley	lindley	ADJ
ejpam-3834	14	3	original	original	ADJ
ejpam-3834	14	4	distribution	distribution	NOUN
ejpam-3834	14	5	is	be	AUX
ejpam-3834	14	6	an	an	DET
ejpam-3834	14	7	important	important	ADJ
ejpam-3834	14	8	law	law	NOUN
ejpam-3834	14	9	that	that	PRON
ejpam-3834	14	10	has	have	AUX
ejpam-3834	14	11	been	be	AUX
ejpam-3834	14	12	used	use	VERB
ejpam-3834	14	13	and	and	CCONJ
ejpam-3834	14	14	still	still	ADV
ejpam-3834	14	15	is	be	AUX
ejpam-3834	14	16	being	be	AUX
ejpam-3834	14	17	used	use	VERB
ejpam-3834	14	18	in	in	ADP
ejpam-3834	14	19	reliability	reliability	NOUN
ejpam-3834	14	20	,	,	PUNCT
ejpam-3834	14	21	in	in	ADP
ejpam-3834	14	22	survival	survival	NOUN
ejpam-3834	14	23	analysis	analysis	NOUN
ejpam-3834	14	24	and	and	CCONJ
ejpam-3834	14	25	other	other	ADJ
ejpam-3834	14	26	important	important	ADJ
ejpam-3834	14	27	disciplines	discipline	NOUN
ejpam-3834	14	28	.	.	PUNCT
ejpam-3834	15	1	because	because	SCONJ
ejpam-3834	15	2	of	of	ADP
ejpam-3834	15	3	its	its	PRON
ejpam-3834	15	4	original	original	ADJ
ejpam-3834	15	5	remarkable	remarkable	ADJ
ejpam-3834	15	6	qualities	quality	NOUN
ejpam-3834	15	7	,	,	PUNCT
ejpam-3834	15	8	it	it	PRON
ejpam-3834	15	9	kicked	kick	VERB
ejpam-3834	15	10	off	off	ADP
ejpam-3834	15	11	a	a	DET
ejpam-3834	15	12	considerable	considerable	ADJ
ejpam-3834	15	13	number	number	NOUN
ejpam-3834	15	14	generalizations	generalization	NOUN
ejpam-3834	15	15	as	as	SCONJ
ejpam-3834	15	16	pointed	point	VERB
ejpam-3834	15	17	out	out	ADP
ejpam-3834	15	18	by	by	ADP
ejpam-3834	15	19	[	[	X
ejpam-3834	15	20	15	15	NUM
ejpam-3834	15	21	]	]	PUNCT
ejpam-3834	15	22	.	.	PUNCT
ejpam-3834	16	1	the	the	DET
ejpam-3834	16	2	current	current	ADJ
ejpam-3834	16	3	generalization	generalization	NOUN
ejpam-3834	16	4	(	(	PUNCT
ejpam-3834	16	5	1	1	X
ejpam-3834	16	6	)	)	PUNCT
ejpam-3834	16	7	has	have	AUX
ejpam-3834	16	8	been	be	AUX
ejpam-3834	16	9	tested	test	VERB
ejpam-3834	16	10	on	on	ADP
ejpam-3834	16	11	real	real	ADJ
ejpam-3834	16	12	data	datum	NOUN
ejpam-3834	16	13	and	and	CCONJ
ejpam-3834	16	14	simulated	simulate	VERB
ejpam-3834	16	15	.	.	PUNCT
ejpam-3834	17	1	the	the	DET
ejpam-3834	17	2	results	result	NOUN
ejpam-3834	17	3	of	of	ADP
ejpam-3834	17	4	those	those	DET
ejpam-3834	17	5	studies	study	NOUN
ejpam-3834	17	6	and	and	CCONJ
ejpam-3834	17	7	simulations	simulation	NOUN
ejpam-3834	17	8	have	have	AUX
ejpam-3834	17	9	shown	show	VERB
ejpam-3834	17	10	a	a	DET
ejpam-3834	17	11	real	real	ADJ
ejpam-3834	17	12	interest	interest	NOUN
ejpam-3834	17	13	of	of	ADP
ejpam-3834	17	14	that	that	DET
ejpam-3834	17	15	model	model	NOUN
ejpam-3834	17	16	in	in	ADP
ejpam-3834	17	17	survival	survival	NOUN
ejpam-3834	17	18	analysis	analysis	NOUN
ejpam-3834	17	19	.	.	PUNCT
ejpam-3834	18	1	in	in	ADP
ejpam-3834	18	2	(	(	PUNCT
ejpam-3834	18	3	[	[	X
ejpam-3834	18	4	15	15	NUM
ejpam-3834	18	5	]	]	PUNCT
ejpam-3834	18	6	)	)	PUNCT
ejpam-3834	18	7	for	for	ADP
ejpam-3834	18	8	example	example	NOUN
ejpam-3834	18	9	,	,	PUNCT
ejpam-3834	18	10	that	that	DET
ejpam-3834	18	11	model	model	NOUN
ejpam-3834	18	12	has	have	AUX
ejpam-3834	18	13	been	be	AUX
ejpam-3834	18	14	tested	test	VERB
ejpam-3834	18	15	on	on	ADP
ejpam-3834	18	16	guinean	guinean	ADJ
ejpam-3834	18	17	ebola	ebola	PROPN
ejpam-3834	18	18	.	.	PUNCT
ejpam-3834	19	1	the	the	DET
ejpam-3834	19	2	paper	paper	NOUN
ejpam-3834	19	3	of	of	ADP
ejpam-3834	19	4	[	[	X
ejpam-3834	19	5	6	6	NUM
ejpam-3834	19	6	]	]	PUNCT
ejpam-3834	19	7	focused	focus	VERB
ejpam-3834	19	8	on	on	ADP
ejpam-3834	19	9	asymptotic	asymptotic	ADJ
ejpam-3834	19	10	tests	test	NOUN
ejpam-3834	19	11	of	of	ADP
ejpam-3834	19	12	that	that	DET
ejpam-3834	19	13	law	law	NOUN
ejpam-3834	19	14	based	base	VERB
ejpam-3834	19	15	on	on	ADP
ejpam-3834	19	16	moments	moment	NOUN
ejpam-3834	19	17	estimators	estimator	NOUN
ejpam-3834	19	18	of	of	ADP
ejpam-3834	19	19	the	the	DET
ejpam-3834	19	20	new	new	ADJ
ejpam-3834	19	21	law	law	NOUN
ejpam-3834	19	22	.	.	PUNCT
ejpam-3834	20	1	the	the	DET
ejpam-3834	20	2	interest	interest	NOUN
ejpam-3834	20	3	that	that	PRON
ejpam-3834	20	4	distribution	distribution	NOUN
ejpam-3834	20	5	demonstrated	demonstrate	VERB
ejpam-3834	20	6	in	in	ADP
ejpam-3834	20	7	real	real	ADJ
ejpam-3834	20	8	data	datum	NOUN
ejpam-3834	20	9	modeling	model	VERB
ejpam-3834	20	10	motivated	motivate	VERB
ejpam-3834	20	11	us	we	PRON
ejpam-3834	20	12	to	to	PART
ejpam-3834	20	13	give	give	VERB
ejpam-3834	20	14	some	some	DET
ejpam-3834	20	15	asymptotic	asymptotic	ADJ
ejpam-3834	20	16	theories	theory	NOUN
ejpam-3834	20	17	on	on	ADP
ejpam-3834	20	18	it	it	PRON
ejpam-3834	20	19	,	,	PUNCT
ejpam-3834	20	20	in	in	ADP
ejpam-3834	20	21	view	view	NOUN
ejpam-3834	20	22	of	of	ADP
ejpam-3834	20	23	statistical	statistical	ADJ
ejpam-3834	20	24	tests	test	NOUN
ejpam-3834	20	25	.	.	PUNCT
ejpam-3834	21	1	in	in	ADP
ejpam-3834	21	2	this	this	DET
ejpam-3834	21	3	paper	paper	NOUN
ejpam-3834	21	4	,	,	PUNCT
ejpam-3834	21	5	we	we	PRON
ejpam-3834	21	6	deal	deal	VERB
ejpam-3834	21	7	with	with	ADP
ejpam-3834	21	8	the	the	DET
ejpam-3834	21	9	properties	property	NOUN
ejpam-3834	21	10	of	of	ADP
ejpam-3834	21	11	the	the	DET
ejpam-3834	21	12	upper	upper	ADJ
ejpam-3834	21	13	tail	tail	NOUN
ejpam-3834	21	14	,	,	PUNCT
ejpam-3834	21	15	the	the	DET
ejpam-3834	21	16	extreme	extreme	ADJ
ejpam-3834	21	17	value	value	NOUN
ejpam-3834	21	18	distribution	distribution	NOUN
ejpam-3834	21	19	and	and	CCONJ
ejpam-3834	21	20	the	the	DET
ejpam-3834	21	21	record	record	NOUN
ejpam-3834	21	22	values	value	NOUN
ejpam-3834	21	23	.	.	PUNCT
ejpam-3834	22	1	etc	etc	X
ejpam-3834	22	2	.	.	X
ejpam-3834	22	3	,	,	PUNCT
ejpam-3834	22	4	each	each	PRON
ejpam-3834	22	5	of	of	ADP
ejpam-3834	22	6	them	they	PRON
ejpam-3834	22	7	providing	provide	VERB
ejpam-3834	22	8	statistical	statistical	ADJ
ejpam-3834	22	9	tests	test	NOUN
ejpam-3834	22	10	.	.	PUNCT
ejpam-3834	23	1	throughout	throughout	ADP
ejpam-3834	23	2	the	the	DET
ejpam-3834	23	3	paper	paper	NOUN
ejpam-3834	23	4	,	,	PUNCT
ejpam-3834	23	5	x	x	X
ejpam-3834	23	6	,	,	PUNCT
ejpam-3834	23	7	x1	x1	PROPN
ejpam-3834	23	8	,	,	PUNCT
ejpam-3834	23	9	x2	x2	PROPN
ejpam-3834	23	10	,	,	PUNCT
ejpam-3834	23	11	·	·	PUNCT
ejpam-3834	23	12	·	·	PUNCT
ejpam-3834	23	13	·	·	PUNCT
ejpam-3834	23	14	is	be	AUX
ejpam-3834	23	15	a	a	DET
ejpam-3834	23	16	sequence	sequence	NOUN
ejpam-3834	23	17	of	of	ADP
ejpam-3834	23	18	independent	independent	ADJ
ejpam-3834	23	19	real	real	ADV
ejpam-3834	23	20	-	-	PUNCT
ejpam-3834	23	21	valued	value	VERB
ejpam-3834	23	22	random	random	ADJ
ejpam-3834	23	23	(	(	PUNCT
ejpam-3834	23	24	rv	rv	NOUN
ejpam-3834	23	25	)	)	PUNCT
ejpam-3834	23	26	,	,	PUNCT
ejpam-3834	23	27	defined	define	VERB
ejpam-3834	23	28	on	on	ADP
ejpam-3834	23	29	the	the	DET
ejpam-3834	23	30	same	same	ADJ
ejpam-3834	23	31	probability	probability	NOUN
ejpam-3834	23	32	space	space	NOUN
ejpam-3834	23	33	(	(	PUNCT
ejpam-3834	23	34	ω	ω	NOUN
ejpam-3834	23	35	,	,	PUNCT
ejpam-3834	23	36	a	a	DET
ejpam-3834	23	37	,	,	PUNCT
ejpam-3834	23	38	p	p	NOUN
ejpam-3834	23	39	)	)	PUNCT
ejpam-3834	23	40	,	,	PUNCT
ejpam-3834	23	41	with	with	ADP
ejpam-3834	23	42	common	common	ADJ
ejpam-3834	23	43	cumulative	cumulative	ADJ
ejpam-3834	23	44	distribution	distribution	NOUN
ejpam-3834	23	45	function	function	NOUN
ejpam-3834	23	46	f	f	PROPN
ejpam-3834	23	47	,	,	PUNCT
ejpam-3834	23	48	with	with	ADP
ejpam-3834	23	49	the	the	DET
ejpam-3834	23	50	first	first	ADJ
ejpam-3834	23	51	asymptotic	asymptotic	ADJ
ejpam-3834	23	52	moment	moment	NOUN
ejpam-3834	23	53	function	function	NOUN
ejpam-3834	23	54	and	and	CCONJ
ejpam-3834	23	55	the	the	DET
ejpam-3834	23	56	generalized	generalized	ADJ
ejpam-3834	23	57	inverse	inverse	NOUN
ejpam-3834	23	58	function	function	NOUN
ejpam-3834	23	59	defined	define	VERB
ejpam-3834	23	60	by	by	ADP
ejpam-3834	23	61	r(x	r(x	PROPN
ejpam-3834	23	62	,	,	PUNCT
ejpam-3834	23	63	f	f	X
ejpam-3834	23	64	)	)	PUNCT
ejpam-3834	24	1	=	=	SYM
ejpam-3834	24	2	1	1	NUM
ejpam-3834	24	3	1−	1−	NUM
ejpam-3834	24	4	f	f	X
ejpam-3834	24	5	(	(	PUNCT
ejpam-3834	24	6	x	x	X
ejpam-3834	24	7	)	)	PUNCT
ejpam-3834	24	8	∫	∫	PROPN
ejpam-3834	25	1	+	+	NUM
ejpam-3834	25	2	∞	∞	NUM
ejpam-3834	25	3	x	x	SYM
ejpam-3834	25	4	(	(	PUNCT
ejpam-3834	25	5	1−	1−	NUM
ejpam-3834	25	6	f	f	X
ejpam-3834	25	7	(	(	PUNCT
ejpam-3834	25	8	y	y	NOUN
ejpam-3834	25	9	)	)	PUNCT
ejpam-3834	25	10	)	)	PUNCT
ejpam-3834	25	11	dy	dy	NOUN
ejpam-3834	25	12	,	,	PUNCT
ejpam-3834	25	13	x	x	X
ejpam-3834	25	14	∈]0,+∞	∈]0,+∞	X
ejpam-3834	25	15	[	[	PUNCT
ejpam-3834	25	16	and	and	CCONJ
ejpam-3834	25	17	f−1(u	f−1(u	NOUN
ejpam-3834	25	18	)	)	PUNCT
ejpam-3834	25	19	=	=	PUNCT
ejpam-3834	25	20	inf{x	inf{x	NOUN
ejpam-3834	25	21	∈	∈	PROPN
ejpam-3834	25	22	r	r	NOUN
ejpam-3834	25	23	,	,	PUNCT
ejpam-3834	25	24	f	f	PROPN
ejpam-3834	25	25	(	(	PUNCT
ejpam-3834	25	26	x	x	NOUN
ejpam-3834	25	27	)	)	PUNCT
ejpam-3834	25	28	≥	≥	PROPN
ejpam-3834	25	29	u	u	NOUN
ejpam-3834	25	30	}	}	PUNCT
ejpam-3834	25	31	for	for	ADP
ejpam-3834	25	32	u	u	NOUN
ejpam-3834	25	33	∈]0	∈]0	X
ejpam-3834	25	34	,	,	PUNCT
ejpam-3834	25	35	1	1	NUM
ejpam-3834	25	36	[	[	PUNCT
ejpam-3834	25	37	and	and	CCONJ
ejpam-3834	25	38	f−1(0	f−1(0	PROPN
ejpam-3834	25	39	)	)	PUNCT
ejpam-3834	25	40	=	=	PUNCT
ejpam-3834	25	41	f−1(0	f−1(0	PROPN
ejpam-3834	25	42	+	+	PROPN
ejpam-3834	25	43	)	)	PUNCT
ejpam-3834	25	44	.	.	PUNCT
ejpam-3834	26	1	for	for	ADP
ejpam-3834	26	2	each	each	DET
ejpam-3834	26	3	n	n	PRON
ejpam-3834	26	4	≥	≥	NOUN
ejpam-3834	26	5	1	1	NUM
ejpam-3834	26	6	,	,	PUNCT
ejpam-3834	26	7	we	we	PRON
ejpam-3834	26	8	denote	denote	VERB
ejpam-3834	26	9	the	the	DET
ejpam-3834	26	10	ordered	order	VERB
ejpam-3834	26	11	statistics	statistic	NOUN
ejpam-3834	26	12	of	of	ADP
ejpam-3834	26	13	the	the	DET
ejpam-3834	26	14	sample	sample	NOUN
ejpam-3834	26	15	x1	x1	PROPN
ejpam-3834	26	16	,	,	PUNCT
ejpam-3834	26	17	·	·	PUNCT
ejpam-3834	26	18	·	·	PUNCT
ejpam-3834	26	19	·	·	PUNCT
ejpam-3834	26	20	,	,	PUNCT
ejpam-3834	26	21	xn	xn	PROPN
ejpam-3834	26	22	by	by	ADP
ejpam-3834	26	23	x1,n	x1,n	PROPN
ejpam-3834	26	24	≤	≤	X
ejpam-3834	26	25	·	·	PUNCT
ejpam-3834	26	26	·	·	PUNCT
ejpam-3834	26	27	·	·	PUNCT
ejpam-3834	27	1	≤	≤	NUM
ejpam-3834	27	2	xn	xn	PROPN
ejpam-3834	27	3	,	,	PUNCT
ejpam-3834	28	1	n.	n.	PROPN
ejpam-3834	28	2	g.s	g.s	PROPN
ejpam-3834	28	3	.	.	PROPN
ejpam-3834	28	4	lo	lo	PROPN
ejpam-3834	28	5	,	,	PUNCT
ejpam-3834	28	6	m.	m.	NOUN
ejpam-3834	28	7	ngom	ngom	PROPN
ejpam-3834	28	8	,	,	PUNCT
ejpam-3834	28	9	m.diallo	m.diallo	PROPN
ejpam-3834	28	10	/	/	SYM
ejpam-3834	28	11	eur	eur	PROPN
ejpam-3834	28	12	.	.	PUNCT
ejpam-3834	29	1	j.	j.	PROPN
ejpam-3834	29	2	pure	pure	PROPN
ejpam-3834	29	3	appl	appl	PROPN
ejpam-3834	29	4	.	.	PROPN
ejpam-3834	29	5	math	math	PROPN
ejpam-3834	29	6	,	,	PUNCT
ejpam-3834	29	7	13	13	NUM
ejpam-3834	29	8	(	(	PUNCT
ejpam-3834	29	9	4	4	NUM
ejpam-3834	29	10	)	)	PUNCT
ejpam-3834	29	11	(	(	PUNCT
ejpam-3834	29	12	2020	2020	NUM
ejpam-3834	29	13	)	)	PUNCT
ejpam-3834	29	14	,	,	PUNCT
ejpam-3834	29	15	739	739	NUM
ejpam-3834	29	16	-	-	SYM
ejpam-3834	29	17	757	757	NUM
ejpam-3834	29	18	741	741	NUM
ejpam-3834	29	19	usually	usually	ADV
ejpam-3834	29	20	,	,	PUNCT
ejpam-3834	29	21	in	in	ADP
ejpam-3834	29	22	extreme	extreme	ADJ
ejpam-3834	29	23	value	value	NOUN
ejpam-3834	29	24	theory	theory	NOUN
ejpam-3834	29	25	,	,	PUNCT
ejpam-3834	29	26	we	we	PRON
ejpam-3834	29	27	focus	focus	VERB
ejpam-3834	29	28	on	on	ADP
ejpam-3834	29	29	upper	upper	ADJ
ejpam-3834	29	30	extreme	extreme	NOUN
ejpam-3834	29	31	and	and	CCONJ
ejpam-3834	29	32	the	the	DET
ejpam-3834	29	33	hypothesis	hypothesis	NOUN
ejpam-3834	29	34	x	x	PUNCT
ejpam-3834	29	35	>	>	PUNCT
ejpam-3834	29	36	0	0	PUNCT
ejpam-3834	29	37	and	and	CCONJ
ejpam-3834	29	38	the	the	DET
ejpam-3834	29	39	log	log	NOUN
ejpam-3834	29	40	-	-	PUNCT
ejpam-3834	29	41	transform	transform	NOUN
ejpam-3834	29	42	y	y	NOUN
ejpam-3834	29	43	=	=	PUNCT
ejpam-3834	29	44	logx	logx	PROPN
ejpam-3834	29	45	is	be	AUX
ejpam-3834	29	46	instrumental	instrumental	ADJ
ejpam-3834	29	47	in	in	ADP
ejpam-3834	29	48	all	all	DET
ejpam-3834	29	49	major	major	ADJ
ejpam-3834	29	50	results	result	NOUN
ejpam-3834	29	51	in	in	ADP
ejpam-3834	29	52	that	that	DET
ejpam-3834	29	53	field	field	NOUN
ejpam-3834	29	54	.	.	PUNCT
ejpam-3834	30	1	we	we	PRON
ejpam-3834	30	2	denote	denote	VERB
ejpam-3834	30	3	the	the	DET
ejpam-3834	30	4	cdf	cdf	PROPN
ejpam-3834	30	5	of	of	ADP
ejpam-3834	30	6	y	y	PROPN
ejpam-3834	30	7	by	by	ADP
ejpam-3834	30	8	g(x	g(x	NOUN
ejpam-3834	30	9	)	)	PUNCT
ejpam-3834	31	1	=	=	SYM
ejpam-3834	31	2	f	f	X
ejpam-3834	31	3	(	(	PUNCT
ejpam-3834	31	4	ex	ex	NOUN
ejpam-3834	31	5	)	)	PUNCT
ejpam-3834	31	6	,	,	PUNCT
ejpam-3834	31	7	x	x	PUNCT
ejpam-3834	31	8	∈	∈	NOUN
ejpam-3834	31	9	r+	r+	NOUN
ejpam-3834	31	10	.	.	PUNCT
ejpam-3834	32	1	the	the	DET
ejpam-3834	32	2	renyi	renyi	PROPN
ejpam-3834	32	3	representation	representation	NOUN
ejpam-3834	32	4	is	be	AUX
ejpam-3834	32	5	also	also	ADV
ejpam-3834	32	6	of	of	ADP
ejpam-3834	32	7	common	common	ADJ
ejpam-3834	32	8	use	use	NOUN
ejpam-3834	32	9	in	in	ADP
ejpam-3834	32	10	the	the	DET
ejpam-3834	32	11	following	follow	VERB
ejpam-3834	32	12	form	form	NOUN
ejpam-3834	32	13	.	.	PUNCT
ejpam-3834	33	1	the	the	DET
ejpam-3834	33	2	sequence	sequence	NOUN
ejpam-3834	33	3	is	be	AUX
ejpam-3834	33	4	replaced	replace	VERB
ejpam-3834	33	5	as	as	SCONJ
ejpam-3834	33	6	follows	follow	VERB
ejpam-3834	33	7	{	{	PUNCT
ejpam-3834	33	8	{	{	PUNCT
ejpam-3834	33	9	x1,n	x1,n	PROPN
ejpam-3834	33	10	≤	≤	X
ejpam-3834	33	11	·	·	PUNCT
ejpam-3834	33	12	·	·	PUNCT
ejpam-3834	33	13	·	·	PUNCT
ejpam-3834	34	1	≤	≤	NUM
ejpam-3834	34	2	xn	xn	PUNCT
ejpam-3834	34	3	,	,	PUNCT
ejpam-3834	34	4	n	n	CCONJ
ejpam-3834	34	5	}	}	PUNCT
ejpam-3834	34	6	,	,	PUNCT
ejpam-3834	34	7	n	n	PRON
ejpam-3834	34	8	≥	≥	NOUN
ejpam-3834	34	9	1	1	NUM
ejpam-3834	34	10	}	}	PUNCT
ejpam-3834	34	11	=	=	NOUN
ejpam-3834	34	12	d	d	NOUN
ejpam-3834	34	13	{	{	PUNCT
ejpam-3834	34	14	{	{	PUNCT
ejpam-3834	34	15	f−1(1−	f−1(1−	PROPN
ejpam-3834	34	16	un−j+1,n	un−j+1,n	PROPN
ejpam-3834	34	17	)	)	PUNCT
ejpam-3834	34	18	,	,	PUNCT
ejpam-3834	34	19	1	1	NUM
ejpam-3834	34	20	≤	≤	NUM
ejpam-3834	34	21	j	j	PROPN
ejpam-3834	34	22	≤	≤	PROPN
ejpam-3834	34	23	n	n	CCONJ
ejpam-3834	34	24	}	}	PUNCT
ejpam-3834	34	25	,	,	PUNCT
ejpam-3834	34	26	n	n	PRON
ejpam-3834	34	27	≥	≥	NOUN
ejpam-3834	34	28	1	1	NUM
ejpam-3834	34	29	}	}	PUNCT
ejpam-3834	34	30	,	,	PUNCT
ejpam-3834	34	31	(	(	PUNCT
ejpam-3834	34	32	3	3	X
ejpam-3834	34	33	)	)	PUNCT
ejpam-3834	34	34	where	where	SCONJ
ejpam-3834	34	35	=	=	NOUN
ejpam-3834	34	36	d	d	PROPN
ejpam-3834	34	37	stands	stand	VERB
ejpam-3834	34	38	for	for	ADP
ejpam-3834	34	39	the	the	DET
ejpam-3834	34	40	equality	equality	NOUN
ejpam-3834	34	41	in	in	ADP
ejpam-3834	34	42	distribution	distribution	NOUN
ejpam-3834	34	43	.	.	PUNCT
ejpam-3834	35	1	finally	finally	ADV
ejpam-3834	35	2	,	,	PUNCT
ejpam-3834	35	3	the	the	DET
ejpam-3834	35	4	following	follow	VERB
ejpam-3834	35	5	malmquist	malmquist	NOUN
ejpam-3834	35	6	representation	representation	NOUN
ejpam-3834	35	7	(	(	PUNCT
ejpam-3834	35	8	see	see	VERB
ejpam-3834	35	9	[	[	X
ejpam-3834	35	10	14	14	NUM
ejpam-3834	35	11	]	]	PUNCT
ejpam-3834	35	12	,	,	PUNCT
ejpam-3834	35	13	also	also	ADV
ejpam-3834	35	14	[	[	X
ejpam-3834	35	15	9	9	NUM
ejpam-3834	35	16	]	]	PUNCT
ejpam-3834	35	17	,	,	PUNCT
ejpam-3834	35	18	page	page	NOUN
ejpam-3834	35	19	127	127	NUM
ejpam-3834	35	20	)	)	PUNCT
ejpam-3834	35	21	is	be	AUX
ejpam-3834	35	22	also	also	ADV
ejpam-3834	35	23	used	use	VERB
ejpam-3834	35	24	:	:	PUNCT
ejpam-3834	35	25	for	for	ADP
ejpam-3834	35	26	each	each	DET
ejpam-3834	35	27	n	n	PRON
ejpam-3834	35	28	≥	≥	NOUN
ejpam-3834	35	29	1	1	NUM
ejpam-3834	35	30	,	,	PUNCT
ejpam-3834	35	31	there	there	PRON
ejpam-3834	35	32	exist	exist	VERB
ejpam-3834	35	33	a	a	DET
ejpam-3834	35	34	finite	finite	ADJ
ejpam-3834	35	35	sequence	sequence	NOUN
ejpam-3834	35	36	of	of	ADP
ejpam-3834	35	37	standard	standard	ADJ
ejpam-3834	35	38	independent	independent	ADJ
ejpam-3834	35	39	exponential	exponential	ADJ
ejpam-3834	35	40	random	random	ADJ
ejpam-3834	35	41	variables	variable	NOUN
ejpam-3834	35	42	e1,n	e1,n	PROPN
ejpam-3834	35	43	,	,	PUNCT
ejpam-3834	35	44	·	·	PUNCT
ejpam-3834	35	45	·	·	PUNCT
ejpam-3834	35	46	·	·	PUNCT
ejpam-3834	35	47	,	,	PUNCT
ejpam-3834	35	48	en	en	X
ejpam-3834	35	49	,	,	PUNCT
ejpam-3834	35	50	n	n	PRON
ejpam-3834	35	51	such	such	ADJ
ejpam-3834	35	52	that	that	SCONJ
ejpam-3834	35	53	{	{	PUNCT
ejpam-3834	35	54	(	(	PUNCT
ejpam-3834	35	55	ui+1,n	ui+1,n	PROPN
ejpam-3834	35	56	ui	ui	PROPN
ejpam-3834	35	57	,	,	PUNCT
ejpam-3834	35	58	n	n	CCONJ
ejpam-3834	35	59	)	)	PUNCT
ejpam-3834	35	60	i	i	PRON
ejpam-3834	35	61	,	,	PUNCT
ejpam-3834	35	62	1	1	NUM
ejpam-3834	35	63	≤	≤	NUM
ejpam-3834	35	64	i	i	PRON
ejpam-3834	35	65	≤	≤	NOUN
ejpam-3834	35	66	n	n	CCONJ
ejpam-3834	35	67	}	}	PUNCT
ejpam-3834	35	68	=	=	SYM
ejpam-3834	35	69	d	d	X
ejpam-3834	35	70	{	{	PUNCT
ejpam-3834	35	71	ei	ei	NOUN
ejpam-3834	35	72	,	,	PUNCT
ejpam-3834	35	73	n	n	CCONJ
ejpam-3834	35	74	,	,	PUNCT
ejpam-3834	35	75	1	1	NUM
ejpam-3834	35	76	≤	≤	NUM
ejpam-3834	35	77	i	i	PRON
ejpam-3834	35	78	≤	≤	NOUN
ejpam-3834	35	79	n	n	CCONJ
ejpam-3834	35	80	}	}	PUNCT
ejpam-3834	35	81	.	.	PUNCT
ejpam-3834	36	1	(	(	PUNCT
ejpam-3834	36	2	4	4	X
ejpam-3834	36	3	)	)	PUNCT
ejpam-3834	36	4	2	2	NUM
ejpam-3834	36	5	.	.	PUNCT
ejpam-3834	36	6	extremes	extreme	NOUN
ejpam-3834	36	7	we	we	PRON
ejpam-3834	36	8	can	can	AUX
ejpam-3834	36	9	directly	directly	ADV
ejpam-3834	36	10	see	see	VERB
ejpam-3834	36	11	that	that	SCONJ
ejpam-3834	36	12	f	f	PROPN
ejpam-3834	36	13	is	be	AUX
ejpam-3834	36	14	the	the	DET
ejpam-3834	36	15	gumbel	gumbel	PROPN
ejpam-3834	36	16	distribution	distribution	NOUN
ejpam-3834	36	17	g0	g0	NOUN
ejpam-3834	36	18	by	by	ADP
ejpam-3834	36	19	three	three	NUM
ejpam-3834	36	20	different	different	ADJ
ejpam-3834	36	21	arguments	argument	NOUN
ejpam-3834	36	22	.	.	PUNCT
ejpam-3834	37	1	first	first	ADV
ejpam-3834	37	2	,	,	PUNCT
ejpam-3834	37	3	by	by	ADP
ejpam-3834	37	4	using	use	VERB
ejpam-3834	37	5	the	the	DET
ejpam-3834	37	6	von	von	PROPN
ejpam-3834	37	7	mises	mises	PROPN
ejpam-3834	37	8	’	'	PUNCT
ejpam-3834	37	9	argument	argument	NOUN
ejpam-3834	37	10	(	(	PUNCT
ejpam-3834	37	11	see	see	VERB
ejpam-3834	37	12	[	[	X
ejpam-3834	37	13	2	2	NUM
ejpam-3834	37	14	]	]	PUNCT
ejpam-3834	37	15	or	or	CCONJ
ejpam-3834	37	16	[	[	X
ejpam-3834	37	17	7	7	NUM
ejpam-3834	37	18	]	]	PUNCT
ejpam-3834	37	19	,	,	PUNCT
ejpam-3834	37	20	proposition	proposition	NOUN
ejpam-3834	37	21	24	24	NUM
ejpam-3834	37	22	,	,	PUNCT
ejpam-3834	37	23	page	page	NOUN
ejpam-3834	37	24	184	184	NUM
ejpam-3834	37	25	)	)	PUNCT
ejpam-3834	37	26	lim	lim	PROPN
ejpam-3834	37	27	x→+∞	x→+∞	PROPN
ejpam-3834	37	28	f	f	PROPN
ejpam-3834	37	29	′(x)(1−	′(x)(1−	PROPN
ejpam-3834	38	1	f	f	PROPN
ejpam-3834	38	2	(	(	PUNCT
ejpam-3834	38	3	x	x	NOUN
ejpam-3834	38	4	)	)	PUNCT
ejpam-3834	38	5	)	)	PUNCT
ejpam-3834	39	1	f2(x	f2(x	X
ejpam-3834	39	2	)	)	PUNCT
ejpam-3834	39	3	=	=	SYM
ejpam-3834	39	4	−1	−1	NOUN
ejpam-3834	39	5	.	.	PUNCT
ejpam-3834	40	1	(	(	PUNCT
ejpam-3834	40	2	5	5	X
ejpam-3834	40	3	)	)	PUNCT
ejpam-3834	40	4	a	a	DET
ejpam-3834	40	5	second	second	ADJ
ejpam-3834	40	6	argument	argument	NOUN
ejpam-3834	40	7	comes	come	VERB
ejpam-3834	40	8	from	from	ADP
ejpam-3834	40	9	that	that	DET
ejpam-3834	40	10	y	y	PROPN
ejpam-3834	40	11	=	=	SYM
ejpam-3834	40	12	exp(x	exp(x	PROPN
ejpam-3834	40	13	)	)	PUNCT
ejpam-3834	40	14	has	have	VERB
ejpam-3834	40	15	the	the	DET
ejpam-3834	40	16	distribution	distribution	NOUN
ejpam-3834	40	17	g(x	g(x	NOUN
ejpam-3834	40	18	)	)	PUNCT
ejpam-3834	41	1	=	=	SYM
ejpam-3834	41	2	f	f	PROPN
ejpam-3834	41	3	(	(	PUNCT
ejpam-3834	41	4	log	log	NOUN
ejpam-3834	41	5	x	x	PRON
ejpam-3834	41	6	)	)	PUNCT
ejpam-3834	41	7	=	=	SYM
ejpam-3834	41	8	β−1(β	β−1(β	PROPN
ejpam-3834	42	1	+	+	NUM
ejpam-3834	42	2	θ	θ	PROPN
ejpam-3834	42	3	log	log	NOUN
ejpam-3834	42	4	x)x−θx	x)x−θx	PROPN
ejpam-3834	42	5	.	.	PUNCT
ejpam-3834	43	1	since	since	SCONJ
ejpam-3834	43	2	∀λ	∀λ	X
ejpam-3834	43	3	>	>	X
ejpam-3834	43	4	0	0	PROPN
ejpam-3834	43	5	,	,	PUNCT
ejpam-3834	43	6	lim	lim	PROPN
ejpam-3834	43	7	x→+∞	x→+∞	PROPN
ejpam-3834	43	8	1−g(λx	1−g(λx	NUM
ejpam-3834	43	9	)	)	PUNCT
ejpam-3834	43	10	1−g(x	1−g(x	NUM
ejpam-3834	43	11	)	)	PUNCT
ejpam-3834	44	1	=	=	PUNCT
ejpam-3834	44	2	λ−θ	λ−θ	PROPN
ejpam-3834	44	3	,	,	PUNCT
ejpam-3834	44	4	(	(	PUNCT
ejpam-3834	44	5	6	6	NUM
ejpam-3834	44	6	)	)	PUNCT
ejpam-3834	44	7	g	g	PROPN
ejpam-3834	44	8	∈	∈	PROPN
ejpam-3834	44	9	d(g1	d(g1	NOUN
ejpam-3834	44	10	/	/	SYM
ejpam-3834	44	11	θ	θ	NOUN
ejpam-3834	44	12	)	)	PUNCT
ejpam-3834	44	13	and	and	CCONJ
ejpam-3834	44	14	since	since	SCONJ
ejpam-3834	44	15	f	f	PROPN
ejpam-3834	44	16	(	(	PUNCT
ejpam-3834	44	17	x	x	NOUN
ejpam-3834	44	18	)	)	PUNCT
ejpam-3834	44	19	=	=	SYM
ejpam-3834	44	20	g(ex	g(ex	NOUN
ejpam-3834	44	21	)	)	PUNCT
ejpam-3834	44	22	for	for	ADP
ejpam-3834	44	23	x	x	X
ejpam-3834	44	24	≥	≥	NOUN
ejpam-3834	44	25	1	1	NUM
ejpam-3834	44	26	,	,	PUNCT
ejpam-3834	44	27	by	by	ADP
ejpam-3834	44	28	theorem	theorem	NOUN
ejpam-3834	44	29	[	[	X
ejpam-3834	44	30	4	4	NUM
ejpam-3834	44	31	]	]	PUNCT
ejpam-3834	44	32	(	(	PUNCT
ejpam-3834	44	33	lemmas	lemmas	PROPN
ejpam-3834	44	34	9	9	NUM
ejpam-3834	44	35	and	and	CCONJ
ejpam-3834	44	36	10	10	NUM
ejpam-3834	44	37	)	)	PUNCT
ejpam-3834	44	38	,	,	PUNCT
ejpam-3834	44	39	f	f	PROPN
ejpam-3834	44	40	∈	∈	PROPN
ejpam-3834	44	41	d(g0	d(g0	NOUN
ejpam-3834	44	42	)	)	PUNCT
ejpam-3834	44	43	.	.	PUNCT
ejpam-3834	45	1	a	a	DET
ejpam-3834	45	2	third	third	ADJ
ejpam-3834	45	3	argument	argument	NOUN
ejpam-3834	45	4	is	be	AUX
ejpam-3834	45	5	related	relate	VERB
ejpam-3834	45	6	to	to	ADP
ejpam-3834	45	7	the	the	DET
ejpam-3834	45	8	development	development	NOUN
ejpam-3834	45	9	of	of	ADP
ejpam-3834	45	10	the	the	DET
ejpam-3834	45	11	quantile	quantile	ADJ
ejpam-3834	45	12	function	function	NOUN
ejpam-3834	45	13	.	.	PUNCT
ejpam-3834	46	1	in	in	ADP
ejpam-3834	46	2	the	the	DET
ejpam-3834	46	3	appendix	appendix	NOUN
ejpam-3834	46	4	(	(	PUNCT
ejpam-3834	46	5	page	page	NOUN
ejpam-3834	46	6	753	753	NUM
ejpam-3834	46	7	)	)	PUNCT
ejpam-3834	46	8	,	,	PUNCT
ejpam-3834	46	9	we	we	PRON
ejpam-3834	46	10	give	give	VERB
ejpam-3834	46	11	a	a	DET
ejpam-3834	46	12	number	number	NOUN
ejpam-3834	46	13	of	of	ADP
ejpam-3834	46	14	expansions	expansion	NOUN
ejpam-3834	46	15	of	of	ADP
ejpam-3834	46	16	that	that	DET
ejpam-3834	46	17	quantile	quantile	NOUN
ejpam-3834	46	18	that	that	PRON
ejpam-3834	46	19	could	could	AUX
ejpam-3834	46	20	be	be	AUX
ejpam-3834	46	21	used	use	VERB
ejpam-3834	46	22	for	for	ADP
ejpam-3834	46	23	different	different	ADJ
ejpam-3834	46	24	purposes	purpose	NOUN
ejpam-3834	46	25	.	.	PUNCT
ejpam-3834	47	1	for	for	ADP
ejpam-3834	47	2	example	example	NOUN
ejpam-3834	47	3	we	we	PRON
ejpam-3834	47	4	have	have	AUX
ejpam-3834	47	5	(	(	PUNCT
ejpam-3834	47	6	see	see	VERB
ejpam-3834	47	7	page	page	NOUN
ejpam-3834	47	8	755	755	NUM
ejpam-3834	47	9	)	)	PUNCT
ejpam-3834	47	10	,	,	PUNCT
ejpam-3834	47	11	∀λ	∀λ	X
ejpam-3834	47	12	>	>	X
ejpam-3834	47	13	0	0	PROPN
ejpam-3834	47	14	,	,	PUNCT
ejpam-3834	47	15	f−1(1−	f−1(1−	PROPN
ejpam-3834	47	16	u	u	NOUN
ejpam-3834	47	17	)	)	PUNCT
ejpam-3834	47	18	=	=	PUNCT
ejpam-3834	47	19	θ−1(log(1	θ−1(log(1	PROPN
ejpam-3834	47	20	/	/	SYM
ejpam-3834	47	21	u)−	u)−	PROPN
ejpam-3834	47	22	log	log	NOUN
ejpam-3834	47	23	log(1	log(1	NOUN
ejpam-3834	47	24	/	/	SYM
ejpam-3834	47	25	u	u	NOUN
ejpam-3834	47	26	)	)	PUNCT
ejpam-3834	47	27	)	)	PUNCT
ejpam-3834	48	1	+	+	PUNCT
ejpam-3834	48	2	θ−1k(u	θ−1k(u	NOUN
ejpam-3834	48	3	)	)	PUNCT
ejpam-3834	48	4	(	(	PUNCT
ejpam-3834	48	5	7	7	X
ejpam-3834	48	6	)	)	PUNCT
ejpam-3834	48	7	with	with	ADP
ejpam-3834	48	8	k(u	k(u	NOUN
ejpam-3834	48	9	)	)	PUNCT
ejpam-3834	49	1	=	=	SYM
ejpam-3834	49	2	o	o	X
ejpam-3834	49	3	(	(	PUNCT
ejpam-3834	49	4	(	(	PUNCT
ejpam-3834	49	5	log	log	NOUN
ejpam-3834	49	6	1	1	NUM
ejpam-3834	49	7	/	/	SYM
ejpam-3834	49	8	u)−2	u)−2	PROPN
ejpam-3834	49	9	)	)	PUNCT
ejpam-3834	49	10	.	.	PUNCT
ejpam-3834	50	1	by	by	ADP
ejpam-3834	50	2	using	use	VERB
ejpam-3834	50	3	it	it	PRON
ejpam-3834	50	4	,	,	PUNCT
ejpam-3834	50	5	we	we	PRON
ejpam-3834	50	6	get	get	VERB
ejpam-3834	50	7	g.s	g.s	PROPN
ejpam-3834	50	8	.	.	PROPN
ejpam-3834	50	9	lo	lo	PROPN
ejpam-3834	50	10	,	,	PUNCT
ejpam-3834	50	11	m.	m.	NOUN
ejpam-3834	50	12	ngom	ngom	PROPN
ejpam-3834	50	13	,	,	PUNCT
ejpam-3834	50	14	m.diallo	m.diallo	PROPN
ejpam-3834	50	15	/	/	SYM
ejpam-3834	50	16	eur	eur	PROPN
ejpam-3834	50	17	.	.	PUNCT
ejpam-3834	51	1	j.	j.	PROPN
ejpam-3834	51	2	pure	pure	PROPN
ejpam-3834	51	3	appl	appl	PROPN
ejpam-3834	51	4	.	.	PROPN
ejpam-3834	51	5	math	math	PROPN
ejpam-3834	51	6	,	,	PUNCT
ejpam-3834	51	7	13	13	NUM
ejpam-3834	51	8	(	(	PUNCT
ejpam-3834	51	9	4	4	NUM
ejpam-3834	51	10	)	)	PUNCT
ejpam-3834	51	11	(	(	PUNCT
ejpam-3834	51	12	2020	2020	NUM
ejpam-3834	51	13	)	)	PUNCT
ejpam-3834	51	14	,	,	PUNCT
ejpam-3834	51	15	739	739	NUM
ejpam-3834	51	16	-	-	SYM
ejpam-3834	51	17	757	757	NUM
ejpam-3834	51	18	742	742	NUM
ejpam-3834	51	19	f−1(1−	f−1(1−	PROPN
ejpam-3834	51	20	λu)−	λu)−	PROPN
ejpam-3834	51	21	f−1(1−	f−1(1−	PROPN
ejpam-3834	51	22	u	u	NOUN
ejpam-3834	51	23	)	)	PUNCT
ejpam-3834	51	24	(	(	PUNCT
ejpam-3834	51	25	1	1	NUM
ejpam-3834	51	26	/	/	SYM
ejpam-3834	51	27	θ	θ	NOUN
ejpam-3834	51	28	)	)	PUNCT
ejpam-3834	51	29	→	→	SYM
ejpam-3834	51	30	−	−	PROPN
ejpam-3834	51	31	log	log	NOUN
ejpam-3834	51	32	λ	λ	PROPN
ejpam-3834	51	33	as	as	ADP
ejpam-3834	51	34	u→	u→	PROPN
ejpam-3834	51	35	0	0	NUM
ejpam-3834	51	36	.	.	PUNCT
ejpam-3834	52	1	by	by	ADP
ejpam-3834	52	2	the	the	DET
ejpam-3834	52	3	π	π	PROPN
ejpam-3834	52	4	-	-	PUNCT
ejpam-3834	52	5	variation	variation	NOUN
ejpam-3834	52	6	criteria	criterion	NOUN
ejpam-3834	52	7	of	of	ADP
ejpam-3834	52	8	[	[	X
ejpam-3834	52	9	2	2	NUM
ejpam-3834	52	10	]	]	PUNCT
ejpam-3834	52	11	(	(	PUNCT
ejpam-3834	52	12	see	see	VERB
ejpam-3834	52	13	[	[	X
ejpam-3834	52	14	9	9	NUM
ejpam-3834	52	15	]	]	PUNCT
ejpam-3834	52	16	,	,	PUNCT
ejpam-3834	52	17	proposition	proposition	NOUN
ejpam-3834	52	18	11	11	NUM
ejpam-3834	52	19	,	,	PUNCT
ejpam-3834	52	20	page	page	NOUN
ejpam-3834	52	21	88	88	NUM
ejpam-3834	52	22	)	)	PUNCT
ejpam-3834	52	23	,	,	PUNCT
ejpam-3834	52	24	we	we	PRON
ejpam-3834	52	25	have	have	VERB
ejpam-3834	52	26	f	f	PROPN
ejpam-3834	52	27	∈	∈	PROPN
ejpam-3834	52	28	d(g0	d(g0	NOUN
ejpam-3834	52	29	)	)	PUNCT
ejpam-3834	52	30	and	and	CCONJ
ejpam-3834	52	31	r(x	r(x	PROPN
ejpam-3834	52	32	,	,	PUNCT
ejpam-3834	52	33	f	f	PROPN
ejpam-3834	52	34	)	)	PUNCT
ejpam-3834	52	35	→	→	SYM
ejpam-3834	52	36	γ	γ	X
ejpam-3834	52	37	=	=	SYM
ejpam-3834	52	38	1	1	NUM
ejpam-3834	52	39	/	/	SYM
ejpam-3834	52	40	θ	θ	PROPN
ejpam-3834	52	41	as	as	ADP
ejpam-3834	52	42	x	x	X
ejpam-3834	52	43	→	→	SYM
ejpam-3834	52	44	+	+	ADJ
ejpam-3834	52	45	∞.	∞.	PROPN
ejpam-3834	52	46	formula	formula	NOUN
ejpam-3834	52	47	(	(	PUNCT
ejpam-3834	52	48	7	7	X
ejpam-3834	52	49	)	)	PUNCT
ejpam-3834	52	50	is	be	AUX
ejpam-3834	52	51	actually	actually	ADV
ejpam-3834	52	52	a	a	DET
ejpam-3834	52	53	second	second	ADJ
ejpam-3834	52	54	-	-	PUNCT
ejpam-3834	52	55	order	order	NOUN
ejpam-3834	52	56	condition	condition	NOUN
ejpam-3834	52	57	for	for	ADP
ejpam-3834	52	58	the	the	DET
ejpam-3834	52	59	quantile	quantile	ADJ
ejpam-3834	52	60	function	function	NOUN
ejpam-3834	52	61	(	(	PUNCT
ejpam-3834	52	62	see	see	VERB
ejpam-3834	52	63	[	[	X
ejpam-3834	52	64	2	2	NUM
ejpam-3834	52	65	]	]	NUM
ejpam-3834	52	66	)	)	PUNCT
ejpam-3834	52	67	.	.	PUNCT
ejpam-3834	53	1	we	we	PRON
ejpam-3834	53	2	apply	apply	VERB
ejpam-3834	53	3	it	it	PRON
ejpam-3834	53	4	right	right	ADJ
ejpam-3834	53	5	to	to	PART
ejpam-3834	53	6	get	get	VERB
ejpam-3834	53	7	a	a	DET
ejpam-3834	53	8	rate	rate	NOUN
ejpam-3834	53	9	of	of	ADP
ejpam-3834	53	10	convergence	convergence	NOUN
ejpam-3834	53	11	of	of	ADP
ejpam-3834	53	12	the	the	DET
ejpam-3834	53	13	maximum	maximum	ADJ
ejpam-3834	53	14	observations	observation	NOUN
ejpam-3834	53	15	.	.	PUNCT
ejpam-3834	54	1	put	put	VERB
ejpam-3834	54	2	γ	γ	NOUN
ejpam-3834	54	3	=	=	SYM
ejpam-3834	54	4	1	1	NUM
ejpam-3834	54	5	/	/	SYM
ejpam-3834	54	6	θ	θ	NOUN
ejpam-3834	54	7	.	.	NOUN
ejpam-3834	54	8	2	2	NUM
ejpam-3834	54	9	.	.	X
ejpam-3834	54	10	expansion	expansion	NOUN
ejpam-3834	54	11	of	of	ADP
ejpam-3834	54	12	the	the	DET
ejpam-3834	54	13	maximum	maximum	ADJ
ejpam-3834	54	14	values	value	NOUN
ejpam-3834	54	15	.	.	PUNCT
ejpam-3834	55	1	by	by	ADP
ejpam-3834	55	2	the	the	DET
ejpam-3834	55	3	renyi	renyi	PROPN
ejpam-3834	55	4	representation	representation	NOUN
ejpam-3834	55	5	and	and	CCONJ
ejpam-3834	55	6	by	by	ADP
ejpam-3834	55	7	denoting	denote	VERB
ejpam-3834	55	8	zn	zn	PROPN
ejpam-3834	55	9	=	=	SYM
ejpam-3834	55	10	−	−	PROPN
ejpam-3834	55	11	log(nu1,n	log(nu1,n	PROPN
ejpam-3834	55	12	)	)	PUNCT
ejpam-3834	55	13	,	,	PUNCT
ejpam-3834	55	14	we	we	PRON
ejpam-3834	55	15	have	have	VERB
ejpam-3834	55	16	that	that	DET
ejpam-3834	55	17	log(1	log(1	NOUN
ejpam-3834	56	1	+	+	CCONJ
ejpam-3834	56	2	zn/(log	zn/(log	PROPN
ejpam-3834	56	3	n))→p	n))→p	PROPN
ejpam-3834	56	4	0	0	NUM
ejpam-3834	56	5	and	and	CCONJ
ejpam-3834	56	6	since	since	SCONJ
ejpam-3834	56	7	logu1,n	logu1,n	PROPN
ejpam-3834	56	8	=	=	SYM
ejpam-3834	56	9	op(log	op(log	PROPN
ejpam-3834	56	10	n)−1	n)−1	NOUN
ejpam-3834	56	11	xn	xn	PROPN
ejpam-3834	56	12	,	,	PUNCT
ejpam-3834	56	13	n	n	CCONJ
ejpam-3834	56	14	−	−	PROPN
ejpam-3834	56	15	f−1(1−	f−1(1−	PROPN
ejpam-3834	56	16	1	1	NUM
ejpam-3834	56	17	/	/	SYM
ejpam-3834	56	18	n	n	CCONJ
ejpam-3834	56	19	)	)	PUNCT
ejpam-3834	56	20	=	=	SYM
ejpam-3834	56	21	γzn	γzn	PROPN
ejpam-3834	56	22	+	+	CCONJ
ejpam-3834	56	23	γ	γ	X
ejpam-3834	56	24	log(1	log(1	NOUN
ejpam-3834	56	25	+	+	CCONJ
ejpam-3834	56	26	zn/(log	zn/(log	PROPN
ejpam-3834	56	27	n	n	CCONJ
ejpam-3834	56	28	)	)	PUNCT
ejpam-3834	56	29	)	)	PUNCT
ejpam-3834	57	1	+	+	CCONJ
ejpam-3834	57	2	o((log	o((log	PROPN
ejpam-3834	57	3	n)−2	n)−2	NOUN
ejpam-3834	57	4	)	)	PUNCT
ejpam-3834	58	1	+	+	NOUN
ejpam-3834	58	2	o((logu1,n)−2	o((logu1,n)−2	NOUN
ejpam-3834	58	3	)	)	PUNCT
ejpam-3834	58	4	and	and	CCONJ
ejpam-3834	58	5	hence	hence	ADV
ejpam-3834	58	6	xn	xn	PROPN
ejpam-3834	58	7	,	,	PUNCT
ejpam-3834	58	8	n	n	CCONJ
ejpam-3834	58	9	−	−	PROPN
ejpam-3834	58	10	f−1(1−	f−1(1−	PROPN
ejpam-3834	58	11	1	1	NUM
ejpam-3834	58	12	/	/	SYM
ejpam-3834	58	13	n	n	CCONJ
ejpam-3834	58	14	)	)	PUNCT
ejpam-3834	58	15	γ	γ	X
ejpam-3834	58	16	=	=	SYM
ejpam-3834	58	17	zn	zn	PROPN
ejpam-3834	59	1	+	+	NOUN
ejpam-3834	59	2	op	op	NOUN
ejpam-3834	59	3	(	(	PUNCT
ejpam-3834	59	4	(	(	PUNCT
ejpam-3834	59	5	log	log	VERB
ejpam-3834	59	6	n)−1	n)−1	NOUN
ejpam-3834	59	7	)	)	PUNCT
ejpam-3834	59	8	=	=	PUNCT
ejpam-3834	59	9	λ	λ	PROPN
ejpam-3834	59	10	+	+	NUM
ejpam-3834	59	11	op(1	op(1	NOUN
ejpam-3834	59	12	)	)	PUNCT
ejpam-3834	59	13	.	.	PUNCT
ejpam-3834	60	1	(	(	PUNCT
ejpam-3834	60	2	8)	8)	NUM
ejpam-3834	60	3	it	it	PRON
ejpam-3834	60	4	is	be	AUX
ejpam-3834	60	5	easy	easy	ADJ
ejpam-3834	60	6	to	to	PART
ejpam-3834	60	7	see	see	VERB
ejpam-3834	60	8	that	that	SCONJ
ejpam-3834	60	9	zn	zn	PROPN
ejpam-3834	60	10	converges	converge	VERB
ejpam-3834	60	11	to	to	ADP
ejpam-3834	60	12	gumbel	gumbel	PROPN
ejpam-3834	60	13	law	law	PROPN
ejpam-3834	60	14	λ	λ	PROPN
ejpam-3834	60	15	with	with	ADP
ejpam-3834	60	16	cdf	cdf	PROPN
ejpam-3834	60	17	g0(x	g0(x	SYM
ejpam-3834	60	18	)	)	PUNCT
ejpam-3834	60	19	=	=	PROPN
ejpam-3834	61	1	exp(−	exp(−	PROPN
ejpam-3834	61	2	exp(−x	exp(−x	PROPN
ejpam-3834	61	3	)	)	PUNCT
ejpam-3834	61	4	)	)	PUNCT
ejpam-3834	61	5	,	,	PUNCT
ejpam-3834	61	6	x	x	PROPN
ejpam-3834	61	7	∈	∈	PROPN
ejpam-3834	61	8	r.	r.	PROPN
ejpam-3834	62	1	so	so	ADV
ejpam-3834	62	2	we	we	PRON
ejpam-3834	62	3	have	have	VERB
ejpam-3834	62	4	that	that	PRON
ejpam-3834	62	5	xn	xn	PROPN
ejpam-3834	62	6	,	,	PUNCT
ejpam-3834	62	7	n	n	PRON
ejpam-3834	62	8	converges	converge	VERB
ejpam-3834	62	9	to	to	ADP
ejpam-3834	62	10	a	a	DET
ejpam-3834	62	11	λ	λ	NOUN
ejpam-3834	62	12	law	law	NOUN
ejpam-3834	62	13	.	.	PUNCT
ejpam-3834	63	1	but	but	CCONJ
ejpam-3834	63	2	we	we	PRON
ejpam-3834	63	3	obtain	obtain	VERB
ejpam-3834	63	4	the	the	DET
ejpam-3834	63	5	random	random	ADJ
ejpam-3834	63	6	rate	rate	NOUN
ejpam-3834	63	7	of	of	ADP
ejpam-3834	63	8	convergence	convergence	NOUN
ejpam-3834	63	9	zn/	zn/	NOUN
ejpam-3834	63	10	log	log	VERB
ejpam-3834	63	11	n	n	CCONJ
ejpam-3834	63	12	,	,	PUNCT
ejpam-3834	63	13	since	since	SCONJ
ejpam-3834	63	14	logzn	logzn	ADJ
ejpam-3834	63	15	log	log	NOUN
ejpam-3834	63	16	n	n	CCONJ
ejpam-3834	63	17	(	(	PUNCT
ejpam-3834	63	18	xn	xn	PROPN
ejpam-3834	63	19	,	,	PUNCT
ejpam-3834	63	20	n	n	CCONJ
ejpam-3834	63	21	−	−	PROPN
ejpam-3834	63	22	f−1(1−	f−1(1−	PROPN
ejpam-3834	63	23	1	1	NUM
ejpam-3834	63	24	/	/	SYM
ejpam-3834	63	25	n	n	CCONJ
ejpam-3834	63	26	)	)	PUNCT
ejpam-3834	63	27	γ	γ	PROPN
ejpam-3834	63	28	−	−	PROPN
ejpam-3834	63	29	zn	zn	NOUN
ejpam-3834	63	30	)	)	PUNCT
ejpam-3834	64	1	=	=	PUNCT
ejpam-3834	65	1	1	1	X
ejpam-3834	65	2	.	.	X
ejpam-3834	65	3	as	as	ADV
ejpam-3834	65	4	well	well	ADV
ejpam-3834	65	5	for	for	ADP
ejpam-3834	65	6	k	k	PROPN
ejpam-3834	65	7	=	=	PUNCT
ejpam-3834	65	8	k(n)→	k(n)→	PUNCT
ejpam-3834	66	1	+	+	NOUN
ejpam-3834	66	2	∞	∞	NUM
ejpam-3834	66	3	such	such	ADJ
ejpam-3834	66	4	that	that	SCONJ
ejpam-3834	66	5	k(n)/n→	k(n)/n→	NOUN
ejpam-3834	66	6	0	0	NUM
ejpam-3834	66	7	,	,	PUNCT
ejpam-3834	66	8	and	and	CCONJ
ejpam-3834	66	9	by	by	ADP
ejpam-3834	66	10	taking	take	VERB
ejpam-3834	66	11	tn	tn	NOUN
ejpam-3834	66	12	=	=	SYM
ejpam-3834	66	13	log(nuk	log(nuk	NOUN
ejpam-3834	66	14	,	,	PUNCT
ejpam-3834	66	15	n	n	CCONJ
ejpam-3834	66	16	/	/	SYM
ejpam-3834	66	17	k	k	NOUN
ejpam-3834	66	18	)	)	PUNCT
ejpam-3834	66	19	and	and	CCONJ
ejpam-3834	66	20	qn	qn	NOUN
ejpam-3834	66	21	=	=	PUNCT
ejpam-3834	66	22	n	n	CCONJ
ejpam-3834	66	23	/	/	SYM
ejpam-3834	66	24	k(n	k(n	PROPN
ejpam-3834	66	25	)	)	PUNCT
ejpam-3834	66	26	which	which	PRON
ejpam-3834	66	27	goes	go	VERB
ejpam-3834	66	28	to	to	ADP
ejpam-3834	66	29	+	+	PROPN
ejpam-3834	66	30	∞	∞	PROPN
ejpam-3834	66	31	,	,	PUNCT
ejpam-3834	66	32	we	we	PRON
ejpam-3834	66	33	have	have	VERB
ejpam-3834	66	34	xn−k	xn−k	PROPN
ejpam-3834	66	35	,	,	PUNCT
ejpam-3834	66	36	n	n	CCONJ
ejpam-3834	66	37	−	−	PROPN
ejpam-3834	66	38	f−1(1−	f−1(1−	PROPN
ejpam-3834	66	39	k	k	PROPN
ejpam-3834	66	40	/	/	SYM
ejpam-3834	66	41	n	n	CCONJ
ejpam-3834	66	42	)	)	PUNCT
ejpam-3834	66	43	γ	γ	X
ejpam-3834	66	44	=	=	SYM
ejpam-3834	66	45	tn	tn	PROPN
ejpam-3834	66	46	+	+	NUM
ejpam-3834	66	47	log(1	log(1	NOUN
ejpam-3834	67	1	+	+	CCONJ
ejpam-3834	67	2	tn/	tn/	NOUN
ejpam-3834	67	3	log	log	NOUN
ejpam-3834	67	4	qn	qn	NOUN
ejpam-3834	67	5	)	)	PUNCT
ejpam-3834	67	6	)	)	PUNCT
ejpam-3834	68	1	+	+	ADP
ejpam-3834	68	2	op((log	op((log	NOUN
ejpam-3834	68	3	qn)−2	qn)−2	NOUN
ejpam-3834	68	4	)	)	PUNCT
ejpam-3834	68	5	.	.	PUNCT
ejpam-3834	69	1	(	(	PUNCT
ejpam-3834	69	2	9	9	X
ejpam-3834	69	3	)	)	SYM
ejpam-3834	69	4	3	3	NUM
ejpam-3834	69	5	.	.	PUNCT
ejpam-3834	70	1	estimating	estimate	VERB
ejpam-3834	70	2	the	the	DET
ejpam-3834	70	3	extreme	extreme	ADJ
ejpam-3834	70	4	value	value	NOUN
ejpam-3834	70	5	index	index	NOUN
ejpam-3834	70	6	γ	γ	X
ejpam-3834	70	7	=	=	SYM
ejpam-3834	70	8	1	1	NUM
ejpam-3834	70	9	/	/	SYM
ejpam-3834	70	10	θ	θ	NOUN
ejpam-3834	70	11	.	.	PUNCT
ejpam-3834	71	1	the	the	DET
ejpam-3834	71	2	hill	hill	PROPN
ejpam-3834	71	3	’s	’s	PART
ejpam-3834	71	4	estimator	estimator	NOUN
ejpam-3834	71	5	(	(	PUNCT
ejpam-3834	71	6	[	[	X
ejpam-3834	71	7	3	3	NUM
ejpam-3834	71	8	]	]	PUNCT
ejpam-3834	71	9	,	,	PUNCT
ejpam-3834	71	10	1975	1975	NUM
ejpam-3834	71	11	)	)	PUNCT
ejpam-3834	71	12	g.s	g.s	PROPN
ejpam-3834	71	13	.	.	PROPN
ejpam-3834	71	14	lo	lo	PROPN
ejpam-3834	71	15	,	,	PUNCT
ejpam-3834	71	16	m.	m.	NOUN
ejpam-3834	71	17	ngom	ngom	PROPN
ejpam-3834	71	18	,	,	PUNCT
ejpam-3834	71	19	m.diallo	m.diallo	PROPN
ejpam-3834	71	20	/	/	SYM
ejpam-3834	71	21	eur	eur	PROPN
ejpam-3834	71	22	.	.	PUNCT
ejpam-3834	72	1	j.	j.	PROPN
ejpam-3834	72	2	pure	pure	PROPN
ejpam-3834	72	3	appl	appl	PROPN
ejpam-3834	72	4	.	.	PROPN
ejpam-3834	72	5	math	math	PROPN
ejpam-3834	72	6	,	,	PUNCT
ejpam-3834	72	7	13	13	NUM
ejpam-3834	72	8	(	(	PUNCT
ejpam-3834	72	9	4	4	NUM
ejpam-3834	72	10	)	)	PUNCT
ejpam-3834	72	11	(	(	PUNCT
ejpam-3834	72	12	2020	2020	NUM
ejpam-3834	72	13	)	)	PUNCT
ejpam-3834	72	14	,	,	PUNCT
ejpam-3834	72	15	739	739	NUM
ejpam-3834	72	16	-	-	SYM
ejpam-3834	72	17	757	757	NUM
ejpam-3834	72	18	743	743	NUM
ejpam-3834	73	1	hn	hn	NOUN
ejpam-3834	73	2	=	=	SYM
ejpam-3834	73	3	1	1	NUM
ejpam-3834	73	4	k(n	k(n	X
ejpam-3834	73	5	)	)	PUNCT
ejpam-3834	73	6	k(n)∑	k(n)∑	PROPN
ejpam-3834	74	1	j=1	j=1	PROPN
ejpam-3834	74	2	j	j	PROPN
ejpam-3834	74	3	(	(	PUNCT
ejpam-3834	74	4	xn−j+1,n	xn−j+1,n	X
ejpam-3834	74	5	−xn−j	−xn−j	X
ejpam-3834	74	6	,	,	PUNCT
ejpam-3834	74	7	n	n	CCONJ
ejpam-3834	74	8	)	)	PUNCT
ejpam-3834	74	9	,	,	PUNCT
ejpam-3834	74	10	(	(	PUNCT
ejpam-3834	74	11	10	10	NUM
ejpam-3834	74	12	)	)	PUNCT
ejpam-3834	74	13	is	be	AUX
ejpam-3834	74	14	the	the	DET
ejpam-3834	74	15	most	most	ADV
ejpam-3834	74	16	celebrated	celebrated	ADJ
ejpam-3834	74	17	estimator	estimator	NOUN
ejpam-3834	74	18	of	of	ADP
ejpam-3834	74	19	the	the	DET
ejpam-3834	74	20	extreme	extreme	ADJ
ejpam-3834	74	21	value	value	NOUN
ejpam-3834	74	22	index	index	NOUN
ejpam-3834	74	23	γ	γ	X
ejpam-3834	74	24	=	=	SYM
ejpam-3834	74	25	1	1	NUM
ejpam-3834	74	26	/	/	SYM
ejpam-3834	74	27	θ	θ	PROPN
ejpam-3834	74	28	of	of	ADP
ejpam-3834	74	29	z	z	NOUN
ejpam-3834	74	30	=	=	SYM
ejpam-3834	74	31	exp(x	exp(x	PROPN
ejpam-3834	74	32	)	)	PUNCT
ejpam-3834	74	33	.	.	PUNCT
ejpam-3834	75	1	among	among	ADP
ejpam-3834	75	2	a	a	DET
ejpam-3834	75	3	significant	significant	ADJ
ejpam-3834	75	4	number	number	NOUN
ejpam-3834	75	5	of	of	ADP
ejpam-3834	75	6	generalizations	generalization	NOUN
ejpam-3834	75	7	of	of	ADP
ejpam-3834	75	8	the	the	DET
ejpam-3834	75	9	hill	hill	NOUN
ejpam-3834	75	10	’s	’s	PART
ejpam-3834	75	11	estimator	estimator	NOUN
ejpam-3834	75	12	,	,	PUNCT
ejpam-3834	75	13	the	the	DET
ejpam-3834	75	14	ngom	ngom	ADJ
ejpam-3834	75	15	-	-	PUNCT
ejpam-3834	75	16	lo	lo	NOUN
ejpam-3834	75	17	generalization	generalization	NOUN
ejpam-3834	75	18	(	(	PUNCT
ejpam-3834	75	19	[	[	X
ejpam-3834	75	20	12	12	NUM
ejpam-3834	75	21	]	]	PUNCT
ejpam-3834	75	22	,	,	PUNCT
ejpam-3834	75	23	2016	2016	NUM
ejpam-3834	75	24	)	)	PUNCT
ejpam-3834	75	25	,	,	PUNCT
ejpam-3834	75	26	called	call	VERB
ejpam-3834	75	27	the	the	DET
ejpam-3834	75	28	functional	functional	ADJ
ejpam-3834	75	29	double	double	ADJ
ejpam-3834	75	30	-	-	PUNCT
ejpam-3834	75	31	indexed	index	VERB
ejpam-3834	75	32	hill	hill	NOUN
ejpam-3834	75	33	estimator	estimator	NOUN
ejpam-3834	75	34	,	,	PUNCT
ejpam-3834	75	35	is	be	AUX
ejpam-3834	75	36	one	one	NUM
ejpam-3834	75	37	the	the	DET
ejpam-3834	75	38	sharpest	sharp	ADJ
ejpam-3834	75	39	one	one	NUM
ejpam-3834	75	40	.	.	PUNCT
ejpam-3834	76	1	it	it	PRON
ejpam-3834	76	2	is	be	AUX
ejpam-3834	76	3	defined	define	VERB
ejpam-3834	76	4	as	as	ADP
ejpam-3834	76	5	hn(f	hn(f	PROPN
ejpam-3834	76	6	,	,	PUNCT
ejpam-3834	76	7	s	s	X
ejpam-3834	76	8	)	)	PUNCT
ejpam-3834	76	9	=	=	PUNCT
ejpam-3834	76	10	k(n)∑	k(n)∑	NOUN
ejpam-3834	76	11	j=1	j=1	NOUN
ejpam-3834	76	12	f(j	f(j	NOUN
ejpam-3834	76	13	)	)	PUNCT
ejpam-3834	77	1	(	(	PUNCT
ejpam-3834	77	2	xn−j+1,n	xn−j+1,n	X
ejpam-3834	77	3	−xn−j	−xn−j	X
ejpam-3834	77	4	,	,	PUNCT
ejpam-3834	77	5	n)s	n)s	ADJ
ejpam-3834	77	6	/an(f	/an(f	PROPN
ejpam-3834	77	7	,	,	PUNCT
ejpam-3834	77	8	s	s	X
ejpam-3834	77	9	)	)	PUNCT
ejpam-3834	77	10	1	1	PROPN
ejpam-3834	77	11	/	/	SYM
ejpam-3834	77	12	s	s	NOUN
ejpam-3834	77	13	,	,	PUNCT
ejpam-3834	77	14	where	where	SCONJ
ejpam-3834	77	15	f	f	NOUN
ejpam-3834	77	16	:	:	PUNCT
ejpam-3834	77	17	n	n	CCONJ
ejpam-3834	77	18	\	\	X
ejpam-3834	77	19	{	{	PUNCT
ejpam-3834	77	20	0	0	NUM
ejpam-3834	77	21	}	}	PUNCT
ejpam-3834	77	22	→	→	SYM
ejpam-3834	77	23	r+	r+	PUNCT
ejpam-3834	77	24	\	\	PUNCT
ejpam-3834	77	25	{	{	PUNCT
ejpam-3834	77	26	0	0	NUM
ejpam-3834	77	27	}	}	PUNCT
ejpam-3834	77	28	is	be	AUX
ejpam-3834	77	29	a	a	DET
ejpam-3834	77	30	measurable	measurable	ADJ
ejpam-3834	77	31	mapping	mapping	NOUN
ejpam-3834	77	32	and	and	CCONJ
ejpam-3834	77	33	s	s	NOUN
ejpam-3834	77	34	>	>	X
ejpam-3834	77	35	0	0	NUM
ejpam-3834	77	36	,	,	PUNCT
ejpam-3834	77	37	and	and	CCONJ
ejpam-3834	77	38	an(f	an(f	ADV
ejpam-3834	77	39	,	,	PUNCT
ejpam-3834	77	40	s	s	X
ejpam-3834	77	41	)	)	PUNCT
ejpam-3834	77	42	=	=	SYM
ejpam-3834	77	43	γ(s+	γ(s+	ADJ
ejpam-3834	77	44	1	1	NUM
ejpam-3834	77	45	)	)	PUNCT
ejpam-3834	77	46	k(n)∑	k(n)∑	NOUN
ejpam-3834	78	1	j=1	j=1	PROPN
ejpam-3834	78	2	f(j)j−s	f(j)j−s	PROPN
ejpam-3834	78	3	.	.	PUNCT
ejpam-3834	79	1	let	let	VERB
ejpam-3834	79	2	us	we	PRON
ejpam-3834	79	3	define	define	VERB
ejpam-3834	79	4	for	for	ADP
ejpam-3834	79	5	s	s	PROPN
ejpam-3834	79	6	>	>	X
ejpam-3834	79	7	0	0	PROPN
ejpam-3834	80	1	and	and	CCONJ
ejpam-3834	80	2	f	f	NOUN
ejpam-3834	80	3	:	:	PUNCT
ejpam-3834	80	4	n	n	CCONJ
ejpam-3834	80	5	\	\	X
ejpam-3834	80	6	{	{	PUNCT
ejpam-3834	80	7	0	0	NUM
ejpam-3834	80	8	}	}	PUNCT
ejpam-3834	80	9	→	→	SYM
ejpam-3834	80	10	r+	r+	PUNCT
ejpam-3834	80	11	\	\	PUNCT
ejpam-3834	80	12	{	{	PUNCT
ejpam-3834	80	13	0	0	NUM
ejpam-3834	80	14	}	}	PUNCT
ejpam-3834	80	15	measurable	measurable	ADJ
ejpam-3834	80	16	,	,	PUNCT
ejpam-3834	80	17	c2(s	c2(s	NOUN
ejpam-3834	80	18	)	)	PUNCT
ejpam-3834	80	19	=	=	SYM
ejpam-3834	80	20	γ(2s+	γ(2s+	NOUN
ejpam-3834	80	21	1)−	1)−	NUM
ejpam-3834	80	22	γ(s+	γ(s+	NUM
ejpam-3834	80	23	1)2	1)2	NUM
ejpam-3834	80	24	,	,	PUNCT
ejpam-3834	80	25	s2n(f	s2n(f	PROPN
ejpam-3834	80	26	,	,	PUNCT
ejpam-3834	80	27	s	s	PART
ejpam-3834	80	28	)	)	PUNCT
ejpam-3834	80	29	=	=	SYM
ejpam-3834	80	30	c2(s	c2(s	NOUN
ejpam-3834	80	31	)	)	PUNCT
ejpam-3834	80	32	k(n)∑	k(n)∑	NOUN
ejpam-3834	81	1	j=1	j=1	PROPN
ejpam-3834	81	2	f(j)2j−2s	f(j)2j−2s	PROPN
ejpam-3834	81	3	,	,	PUNCT
ejpam-3834	81	4	and	and	CCONJ
ejpam-3834	81	5	bn(f	bn(f	ADV
ejpam-3834	81	6	,	,	PUNCT
ejpam-3834	81	7	s	s	X
ejpam-3834	81	8	)	)	PUNCT
ejpam-3834	81	9	=	=	SYM
ejpam-3834	81	10	max{f(j)j−s	max{f(j)j−s	PROPN
ejpam-3834	81	11	/	/	SYM
ejpam-3834	81	12	sn(f	sn(f	PROPN
ejpam-3834	81	13	,	,	PUNCT
ejpam-3834	81	14	s	s	PART
ejpam-3834	81	15	)	)	PUNCT
ejpam-3834	81	16	,	,	PUNCT
ejpam-3834	81	17	1	1	NUM
ejpam-3834	81	18	≤	≤	NUM
ejpam-3834	81	19	j	j	PROPN
ejpam-3834	81	20	≤	≤	X
ejpam-3834	81	21	k(n	k(n	PROPN
ejpam-3834	81	22	)	)	PUNCT
ejpam-3834	81	23	}	}	PUNCT
ejpam-3834	81	24	.	.	PUNCT
ejpam-3834	82	1	we	we	PRON
ejpam-3834	82	2	simply	simply	ADV
ejpam-3834	82	3	notice	notice	VERB
ejpam-3834	82	4	that	that	SCONJ
ejpam-3834	82	5	the	the	DET
ejpam-3834	82	6	classical	classical	ADJ
ejpam-3834	82	7	hill	hill	PROPN
ejpam-3834	82	8	’s	’s	PART
ejpam-3834	82	9	estimator	estimator	NOUN
ejpam-3834	82	10	is	be	AUX
ejpam-3834	82	11	hn(id	hn(id	PROPN
ejpam-3834	82	12	,	,	PUNCT
ejpam-3834	82	13	1	1	NUM
ejpam-3834	82	14	)	)	PUNCT
ejpam-3834	82	15	where	where	SCONJ
ejpam-3834	82	16	i	i	PRON
ejpam-3834	82	17	d	d	PROPN
ejpam-3834	82	18	is	be	AUX
ejpam-3834	82	19	the	the	DET
ejpam-3834	82	20	identity	identity	NOUN
ejpam-3834	82	21	function	function	NOUN
ejpam-3834	82	22	on	on	ADP
ejpam-3834	82	23	n	n	PRON
ejpam-3834	82	24	\	\	NOUN
ejpam-3834	82	25	{	{	PUNCT
ejpam-3834	82	26	0	0	NUM
ejpam-3834	82	27	}	}	PUNCT
ejpam-3834	82	28	.	.	PUNCT
ejpam-3834	83	1	let	let	VERB
ejpam-3834	83	2	us	we	PRON
ejpam-3834	83	3	give	give	VERB
ejpam-3834	83	4	asymptotic	asymptotic	ADJ
ejpam-3834	83	5	normality	normality	NOUN
ejpam-3834	83	6	for	for	ADP
ejpam-3834	83	7	the	the	DET
ejpam-3834	83	8	functional	functional	ADJ
ejpam-3834	83	9	double	double	ADJ
ejpam-3834	83	10	-	-	PUNCT
ejpam-3834	83	11	indexed	index	VERB
ejpam-3834	83	12	hill	hill	NOUN
ejpam-3834	83	13	estimator	estimator	NOUN
ejpam-3834	83	14	.	.	PUNCT
ejpam-3834	84	1	(	(	PUNCT
ejpam-3834	84	2	a	a	X
ejpam-3834	84	3	)	)	PUNCT
ejpam-3834	84	4	extreme	extreme	ADJ
ejpam-3834	84	5	limit	limit	NOUN
ejpam-3834	84	6	theorem	theorem	VERB
ejpam-3834	84	7	.	.	PUNCT
ejpam-3834	85	1	we	we	PRON
ejpam-3834	85	2	begin	begin	VERB
ejpam-3834	85	3	with	with	ADP
ejpam-3834	85	4	the	the	DET
ejpam-3834	85	5	simple	simple	ADJ
ejpam-3834	85	6	hill	hill	PROPN
ejpam-3834	85	7	’s	’s	PART
ejpam-3834	85	8	estimator	estimator	NOUN
ejpam-3834	85	9	.	.	PUNCT
ejpam-3834	86	1	theorem	theorem	PROPN
ejpam-3834	86	2	1	1	NUM
ejpam-3834	86	3	.	.	PUNCT
ejpam-3834	87	1	for	for	ADP
ejpam-3834	87	2	]	]	X
ejpam-3834	87	3	0	0	NUM
ejpam-3834	87	4	,	,	PUNCT
ejpam-3834	87	5	n	n	CCONJ
ejpam-3834	87	6	]	]	X
ejpam-3834	87	7	3	3	NUM
ejpam-3834	87	8	k(n)→	k(n)→	NOUN
ejpam-3834	88	1	+	+	NOUN
ejpam-3834	88	2	∞	∞	NOUN
ejpam-3834	88	3	such	such	ADJ
ejpam-3834	88	4	that	that	SCONJ
ejpam-3834	88	5	k(n)3/4/	k(n)3/4/	PROPN
ejpam-3834	88	6	log	log	VERB
ejpam-3834	88	7	n→	n→	ADV
ejpam-3834	88	8	0	0	NUM
ejpam-3834	88	9	.	.	PUNCT
ejpam-3834	89	1	(	(	PUNCT
ejpam-3834	89	2	k1	k1	NOUN
ejpam-3834	89	3	)	)	PUNCT
ejpam-3834	89	4	we	we	PRON
ejpam-3834	89	5	have	have	VERB
ejpam-3834	89	6	,	,	PUNCT
ejpam-3834	89	7	as	as	ADP
ejpam-3834	89	8	n→	n→	ADV
ejpam-3834	89	9	+	+	PROPN
ejpam-3834	89	10	∞	∞	PROPN
ejpam-3834	89	11	,	,	PUNCT
ejpam-3834	89	12	√	√	NUM
ejpam-3834	89	13	k(n	k(n	NOUN
ejpam-3834	89	14	)	)	PUNCT
ejpam-3834	89	15	(	(	PUNCT
ejpam-3834	89	16	hn	hn	PROPN
ejpam-3834	89	17	−	−	PROPN
ejpam-3834	89	18	γ	γ	PROPN
ejpam-3834	89	19	)	)	PUNCT
ejpam-3834	89	20	n	n	CCONJ
ejpam-3834	89	21	(	(	PUNCT
ejpam-3834	89	22	0	0	NUM
ejpam-3834	89	23	,	,	PUNCT
ejpam-3834	89	24	γ2	γ2	NOUN
ejpam-3834	89	25	)	)	PUNCT
ejpam-3834	89	26	.	.	PUNCT
ejpam-3834	90	1	(	(	PUNCT
ejpam-3834	90	2	11	11	X
ejpam-3834	90	3	)	)	PUNCT
ejpam-3834	90	4	g.s	g.s	PROPN
ejpam-3834	90	5	.	.	PROPN
ejpam-3834	90	6	lo	lo	PROPN
ejpam-3834	90	7	,	,	PUNCT
ejpam-3834	90	8	m.	m.	NOUN
ejpam-3834	90	9	ngom	ngom	PROPN
ejpam-3834	90	10	,	,	PUNCT
ejpam-3834	90	11	m.diallo	m.diallo	PROPN
ejpam-3834	90	12	/	/	SYM
ejpam-3834	90	13	eur	eur	PROPN
ejpam-3834	90	14	.	.	PUNCT
ejpam-3834	91	1	j.	j.	PROPN
ejpam-3834	91	2	pure	pure	PROPN
ejpam-3834	91	3	appl	appl	PROPN
ejpam-3834	91	4	.	.	PROPN
ejpam-3834	91	5	math	math	PROPN
ejpam-3834	91	6	,	,	PUNCT
ejpam-3834	91	7	13	13	NUM
ejpam-3834	91	8	(	(	PUNCT
ejpam-3834	91	9	4	4	NUM
ejpam-3834	91	10	)	)	PUNCT
ejpam-3834	91	11	(	(	PUNCT
ejpam-3834	91	12	2020	2020	NUM
ejpam-3834	91	13	)	)	PUNCT
ejpam-3834	91	14	,	,	PUNCT
ejpam-3834	91	15	739	739	NUM
ejpam-3834	91	16	-	-	SYM
ejpam-3834	91	17	757	757	NUM
ejpam-3834	91	18	744	744	NUM
ejpam-3834	91	19	we	we	PRON
ejpam-3834	91	20	want	want	VERB
ejpam-3834	91	21	to	to	PART
ejpam-3834	91	22	establish	establish	VERB
ejpam-3834	91	23	the	the	DET
ejpam-3834	91	24	random	random	ADJ
ejpam-3834	91	25	rate	rate	NOUN
ejpam-3834	91	26	of	of	ADP
ejpam-3834	91	27	convergence	convergence	NOUN
ejpam-3834	91	28	associated	associate	VERB
ejpam-3834	91	29	with	with	ADP
ejpam-3834	91	30	the	the	DET
ejpam-3834	91	31	convergence	convergence	NOUN
ejpam-3834	91	32	11	11	NUM
ejpam-3834	91	33	in	in	ADP
ejpam-3834	91	34	the	the	DET
ejpam-3834	91	35	part	part	NOUN
ejpam-3834	91	36	(	(	PUNCT
ejpam-3834	91	37	a	a	NOUN
ejpam-3834	91	38	)	)	PUNCT
ejpam-3834	91	39	of	of	ADP
ejpam-3834	91	40	the	the	DET
ejpam-3834	91	41	following	follow	VERB
ejpam-3834	91	42	corollary	corollary	NOUN
ejpam-3834	91	43	.	.	PUNCT
ejpam-3834	92	1	in	in	ADP
ejpam-3834	92	2	the	the	DET
ejpam-3834	92	3	part	part	NOUN
ejpam-3834	92	4	(	(	PUNCT
ejpam-3834	92	5	b	b	NOUN
ejpam-3834	92	6	)	)	PUNCT
ejpam-3834	92	7	,	,	PUNCT
ejpam-3834	92	8	we	we	PRON
ejpam-3834	92	9	want	want	VERB
ejpam-3834	92	10	to	to	PART
ejpam-3834	92	11	share	share	VERB
ejpam-3834	92	12	that	that	SCONJ
ejpam-3834	92	13	we	we	PRON
ejpam-3834	92	14	do	do	AUX
ejpam-3834	92	15	not	not	PART
ejpam-3834	92	16	need	need	VERB
ejpam-3834	92	17	any	any	DET
ejpam-3834	92	18	other	other	ADJ
ejpam-3834	92	19	condition	condition	NOUN
ejpam-3834	92	20	on	on	ADP
ejpam-3834	92	21	top	top	NOUN
ejpam-3834	92	22	of	of	ADP
ejpam-3834	92	23	k(n)/n	k(n)/n	PROPN
ejpam-3834	92	24	→	→	SYM
ejpam-3834	92	25	0	0	NUM
ejpam-3834	92	26	to	to	PART
ejpam-3834	92	27	have	have	VERB
ejpam-3834	92	28	the	the	DET
ejpam-3834	92	29	central	central	ADJ
ejpam-3834	92	30	limit	limit	NOUN
ejpam-3834	92	31	theorem	theorem	VERB
ejpam-3834	92	32	if	if	SCONJ
ejpam-3834	92	33	f−1	f−1	PROPN
ejpam-3834	92	34	is	be	AUX
ejpam-3834	92	35	reduced	reduce	VERB
ejpam-3834	92	36	to	to	PART
ejpam-3834	92	37	f−1∗	f−1∗	PROPN
ejpam-3834	92	38	(	(	PUNCT
ejpam-3834	92	39	1−	1−	NUM
ejpam-3834	92	40	u	u	NOUN
ejpam-3834	92	41	)	)	PUNCT
ejpam-3834	92	42	=	=	PUNCT
ejpam-3834	93	1	γ	γ	NOUN
ejpam-3834	93	2	log	log	VERB
ejpam-3834	93	3	u−	u−	PROPN
ejpam-3834	93	4	c(γ	c(γ	PROPN
ejpam-3834	93	5	)	)	PUNCT
ejpam-3834	93	6	log	log	NOUN
ejpam-3834	93	7	log(1	log(1	NOUN
ejpam-3834	93	8	/	/	SYM
ejpam-3834	93	9	u	u	NOUN
ejpam-3834	93	10	)	)	PUNCT
ejpam-3834	93	11	,	,	PUNCT
ejpam-3834	93	12	u	u	NOUN
ejpam-3834	93	13	∈]0	∈]0	ADJ
ejpam-3834	93	14	,	,	PUNCT
ejpam-3834	93	15	1	1	NUM
ejpam-3834	93	16	[	[	X
ejpam-3834	93	17	,	,	PUNCT
ejpam-3834	93	18	c(γ	c(γ	PROPN
ejpam-3834	93	19	)	)	PUNCT
ejpam-3834	93	20	≥	≥	NOUN
ejpam-3834	93	21	1	1	NUM
ejpam-3834	93	22	.	.	PUNCT
ejpam-3834	94	1	(	(	PUNCT
ejpam-3834	94	2	12	12	NUM
ejpam-3834	94	3	)	)	PUNCT
ejpam-3834	94	4	corollary	corollary	ADJ
ejpam-3834	94	5	1	1	NUM
ejpam-3834	94	6	.	.	PUNCT
ejpam-3834	95	1	we	we	PRON
ejpam-3834	95	2	have	have	VERB
ejpam-3834	95	3	the	the	DET
ejpam-3834	95	4	following	follow	VERB
ejpam-3834	95	5	results	result	NOUN
ejpam-3834	95	6	.	.	PUNCT
ejpam-3834	96	1	(	(	PUNCT
ejpam-3834	96	2	a	a	X
ejpam-3834	96	3	)	)	PUNCT
ejpam-3834	96	4	here	here	ADV
ejpam-3834	96	5	again	again	ADV
ejpam-3834	96	6	f	f	PROPN
ejpam-3834	96	7	is	be	AUX
ejpam-3834	96	8	the	the	DET
ejpam-3834	96	9	cdf	cdf	NOUN
ejpam-3834	96	10	of	of	ADP
ejpam-3834	96	11	the	the	DET
ejpam-3834	96	12	pseudo	pseudo	NOUN
ejpam-3834	96	13	-	-	ADJ
ejpam-3834	96	14	lindley	lindley	ADJ
ejpam-3834	96	15	distribution	distribution	NOUN
ejpam-3834	96	16	with	with	ADP
ejpam-3834	96	17	parameters	parameter	NOUN
ejpam-3834	96	18	θ	θ	X
ejpam-3834	96	19	>	>	PUNCT
ejpam-3834	96	20	0	0	PUNCT
ejpam-3834	96	21	and	and	CCONJ
ejpam-3834	96	22	β	β	X
ejpam-3834	96	23	>	>	X
ejpam-3834	96	24	0	0	PUNCT
ejpam-3834	96	25	and	and	CCONJ
ejpam-3834	96	26	the	the	DET
ejpam-3834	96	27	notation	notation	NOUN
ejpam-3834	96	28	above	above	ADV
ejpam-3834	96	29	.	.	PUNCT
ejpam-3834	97	1	let	let	VERB
ejpam-3834	97	2	k(n)/	k(n)/	PROPN
ejpam-3834	97	3	log	log	VERB
ejpam-3834	97	4	n→	n→	ADV
ejpam-3834	97	5	0	0	X
ejpam-3834	97	6	.	.	PUNCT
ejpam-3834	98	1	let	let	VERB
ejpam-3834	98	2	w	w	NOUN
ejpam-3834	98	3	(	(	PUNCT
ejpam-3834	98	4	1	1	X
ejpam-3834	98	5	)	)	PUNCT
ejpam-3834	98	6	is	be	AUX
ejpam-3834	98	7	a	a	DET
ejpam-3834	98	8	standard	standard	ADJ
ejpam-3834	98	9	gaussian	gaussian	ADJ
ejpam-3834	98	10	random	random	ADJ
ejpam-3834	98	11	variable	variable	NOUN
ejpam-3834	98	12	.	.	PUNCT
ejpam-3834	99	1	then	then	ADV
ejpam-3834	99	2	we	we	PRON
ejpam-3834	99	3	have	have	AUX
ejpam-3834	99	4	log	log	NOUN
ejpam-3834	99	5	n	n	PRON
ejpam-3834	99	6	γ	γ	X
ejpam-3834	99	7	√	√	NUM
ejpam-3834	99	8	k(n	k(n	NOUN
ejpam-3834	99	9	)	)	PUNCT
ejpam-3834	99	10	(	(	PUNCT
ejpam-3834	99	11	√	√	ADV
ejpam-3834	99	12	k(n)(hn	k(n)(hn	PROPN
ejpam-3834	100	1	−	−	PROPN
ejpam-3834	101	1	γ)−	γ)−	PROPN
ejpam-3834	101	2	γw	γw	PROPN
ejpam-3834	101	3	(	(	PUNCT
ejpam-3834	101	4	1	1	NUM
ejpam-3834	101	5	)	)	PUNCT
ejpam-3834	101	6	)	)	PUNCT
ejpam-3834	102	1	→p	→p	PROPN
ejpam-3834	102	2	1	1	NUM
ejpam-3834	102	3	,	,	PUNCT
ejpam-3834	102	4	(	(	PUNCT
ejpam-3834	102	5	b	b	X
ejpam-3834	102	6	)	)	PUNCT
ejpam-3834	102	7	if	if	SCONJ
ejpam-3834	102	8	f−1	f−1	PROPN
ejpam-3834	102	9	were	be	AUX
ejpam-3834	102	10	reduced	reduce	VERB
ejpam-3834	102	11	as	as	ADP
ejpam-3834	102	12	in	in	ADP
ejpam-3834	102	13	formula	formula	NOUN
ejpam-3834	102	14	(	(	PUNCT
ejpam-3834	102	15	12	12	NUM
ejpam-3834	102	16	)	)	PUNCT
ejpam-3834	102	17	,	,	PUNCT
ejpam-3834	102	18	we	we	PRON
ejpam-3834	102	19	have	have	VERB
ejpam-3834	102	20	the	the	DET
ejpam-3834	102	21	asymptotic	asymptotic	ADJ
ejpam-3834	102	22	normality√	normality√	NOUN
ejpam-3834	102	23	k(n)(hn	k(n)(hn	PROPN
ejpam-3834	102	24	−	−	PROPN
ejpam-3834	103	1	γ)→	γ)→	PROPN
ejpam-3834	103	2	n	n	CCONJ
ejpam-3834	103	3	(	(	PUNCT
ejpam-3834	103	4	0	0	NUM
ejpam-3834	103	5	,	,	PUNCT
ejpam-3834	103	6	γ2	γ2	NOUN
ejpam-3834	103	7	)	)	PUNCT
ejpam-3834	103	8	whenever	whenever	SCONJ
ejpam-3834	103	9	k(n)/n→	k(n)/n→	PROPN
ejpam-3834	103	10	0	0	PUNCT
ejpam-3834	104	1	and	and	CCONJ
ejpam-3834	104	2	log	log	VERB
ejpam-3834	104	3	n	n	INTJ
ejpam-3834	104	4	(	(	PUNCT
ejpam-3834	104	5	√	√	PROPN
ejpam-3834	104	6	k(n)(hn	k(n)(hn	PROPN
ejpam-3834	104	7	−	−	PROPN
ejpam-3834	105	1	γ)−	γ)−	PROPN
ejpam-3834	105	2	γw	γw	PROPN
ejpam-3834	105	3	(	(	PUNCT
ejpam-3834	105	4	1	1	NUM
ejpam-3834	105	5	)	)	PUNCT
ejpam-3834	105	6	)	)	PUNCT
ejpam-3834	106	1	=	=	PUNCT
ejpam-3834	106	2	op(1	op(1	PROPN
ejpam-3834	106	3	)	)	PUNCT
ejpam-3834	106	4	.	.	PUNCT
ejpam-3834	107	1	♦	♦	PROPN
ejpam-3834	107	2	proof	proof	NOUN
ejpam-3834	107	3	of	of	ADP
ejpam-3834	107	4	theorem	theorem	NOUN
ejpam-3834	107	5	1	1	NUM
ejpam-3834	107	6	.	.	PUNCT
ejpam-3834	107	7	by	by	ADP
ejpam-3834	107	8	the	the	DET
ejpam-3834	107	9	malmquist	malmquist	PROPN
ejpam-3834	107	10	representation	representation	NOUN
ejpam-3834	107	11	(	(	PUNCT
ejpam-3834	107	12	see	see	VERB
ejpam-3834	107	13	[	[	X
ejpam-3834	107	14	14	14	NUM
ejpam-3834	107	15	]	]	PUNCT
ejpam-3834	107	16	or	or	CCONJ
ejpam-3834	107	17	[	[	X
ejpam-3834	107	18	9	9	NUM
ejpam-3834	107	19	]	]	PUNCT
ejpam-3834	107	20	,	,	PUNCT
ejpam-3834	107	21	proposition	proposition	NOUN
ejpam-3834	107	22	32	32	NUM
ejpam-3834	107	23	,	,	PUNCT
ejpam-3834	107	24	page	page	NOUN
ejpam-3834	107	25	135	135	NUM
ejpam-3834	107	26	)	)	PUNCT
ejpam-3834	107	27	,	,	PUNCT
ejpam-3834	107	28	by	by	ADP
ejpam-3834	107	29	formula	formula	NOUN
ejpam-3834	107	30	(	(	PUNCT
ejpam-3834	107	31	38	38	NUM
ejpam-3834	107	32	)	)	PUNCT
ejpam-3834	107	33	,	,	PUNCT
ejpam-3834	107	34	we	we	PRON
ejpam-3834	107	35	have	have	VERB
ejpam-3834	107	36	for	for	ADP
ejpam-3834	107	37	any	any	DET
ejpam-3834	107	38	1	1	NUM
ejpam-3834	107	39	≤	≤	NUM
ejpam-3834	108	1	j	j	PROPN
ejpam-3834	108	2	≤	≤	PROPN
ejpam-3834	108	3	k	k	PROPN
ejpam-3834	108	4	,	,	PUNCT
ejpam-3834	108	5	xn−j+1,n	xn−j+1,n	PROPN
ejpam-3834	108	6	−xn−j	−xn−j	X
ejpam-3834	108	7	,	,	PUNCT
ejpam-3834	108	8	n	n	PROPN
ejpam-3834	108	9	=	=	SYM
ejpam-3834	108	10	f−1(1−	f−1(1−	PROPN
ejpam-3834	108	11	uj	uj	PROPN
ejpam-3834	108	12	,	,	PUNCT
ejpam-3834	108	13	n)−	n)−	PROPN
ejpam-3834	108	14	f−1(1−	f−1(1−	PROPN
ejpam-3834	108	15	uj+1,n	uj+1,n	PROPN
ejpam-3834	108	16	)	)	PUNCT
ejpam-3834	108	17	=	=	PUNCT
ejpam-3834	109	1	γj−1ej	γj−1ej	NUM
ejpam-3834	109	2	,	,	PUNCT
ejpam-3834	109	3	n	n	PRON
ejpam-3834	109	4	−	−	PROPN
ejpam-3834	109	5	γ	γ	PROPN
ejpam-3834	109	6	∫	∫	PROPN
ejpam-3834	109	7	uj+1,n	uj+1,n	PROPN
ejpam-3834	109	8	uj	uj	PROPN
ejpam-3834	109	9	,	,	PUNCT
ejpam-3834	109	10	n	n	CCONJ
ejpam-3834	109	11	du	du	NOUN
ejpam-3834	109	12	u	u	PROPN
ejpam-3834	109	13	log(1	log(1	NOUN
ejpam-3834	109	14	/	/	SYM
ejpam-3834	109	15	u	u	NOUN
ejpam-3834	109	16	)	)	PUNCT
ejpam-3834	110	1	+	+	VERB
ejpam-3834	110	2	op	op	NOUN
ejpam-3834	110	3	(	(	PUNCT
ejpam-3834	110	4	(	(	PUNCT
ejpam-3834	110	5	logn)−2	logn)−2	PROPN
ejpam-3834	110	6	)	)	PUNCT
ejpam-3834	110	7	(	(	PUNCT
ejpam-3834	110	8	13	13	NUM
ejpam-3834	110	9	)	)	PUNCT
ejpam-3834	110	10	and	and	CCONJ
ejpam-3834	110	11	next	next	ADJ
ejpam-3834	110	12	j	j	PROPN
ejpam-3834	110	13	(	(	PUNCT
ejpam-3834	110	14	xn−j+1,n	xn−j+1,n	X
ejpam-3834	110	15	−xn−j	−xn−j	X
ejpam-3834	110	16	,	,	PUNCT
ejpam-3834	110	17	n	n	CCONJ
ejpam-3834	110	18	)	)	PUNCT
ejpam-3834	110	19	=	=	SYM
ejpam-3834	110	20	γej	γej	PROPN
ejpam-3834	110	21	,	,	PUNCT
ejpam-3834	110	22	n	n	CCONJ
ejpam-3834	110	23	−	−	PROPN
ejpam-3834	110	24	γj	γj	ADP
ejpam-3834	110	25	∫	∫	PROPN
ejpam-3834	110	26	uj+1,n	uj+1,n	PROPN
ejpam-3834	110	27	uj	uj	PROPN
ejpam-3834	110	28	,	,	PUNCT
ejpam-3834	110	29	n	n	CCONJ
ejpam-3834	110	30	du	du	NOUN
ejpam-3834	110	31	u	u	PROPN
ejpam-3834	110	32	log(1	log(1	NOUN
ejpam-3834	110	33	/	/	SYM
ejpam-3834	110	34	u	u	NOUN
ejpam-3834	110	35	)	)	PUNCT
ejpam-3834	111	1	+	+	VERB
ejpam-3834	111	2	op	op	NOUN
ejpam-3834	111	3	(	(	PUNCT
ejpam-3834	111	4	k	k	X
ejpam-3834	111	5	(	(	PUNCT
ejpam-3834	111	6	logn)−2	logn)−2	PROPN
ejpam-3834	111	7	)	)	PUNCT
ejpam-3834	111	8	.	.	PUNCT
ejpam-3834	112	1	so	so	ADV
ejpam-3834	112	2	for	for	ADP
ejpam-3834	112	3	zn	zn	PROPN
ejpam-3834	112	4	=	=	SYM
ejpam-3834	112	5	log	log	PROPN
ejpam-3834	112	6	nu1,n	nu1,n	NOUN
ejpam-3834	112	7	(	(	PUNCT
ejpam-3834	112	8	which	which	PRON
ejpam-3834	112	9	converges	converge	VERB
ejpam-3834	112	10	in	in	ADP
ejpam-3834	112	11	law	law	NOUN
ejpam-3834	112	12	to	to	ADP
ejpam-3834	112	13	λ	λ	NOUN
ejpam-3834	112	14	)	)	PUNCT
ejpam-3834	112	15	and	and	CCONJ
ejpam-3834	112	16	g.s	g.s	PROPN
ejpam-3834	112	17	.	.	PROPN
ejpam-3834	112	18	lo	lo	PROPN
ejpam-3834	112	19	,	,	PUNCT
ejpam-3834	112	20	m.	m.	NOUN
ejpam-3834	112	21	ngom	ngom	PROPN
ejpam-3834	112	22	,	,	PUNCT
ejpam-3834	112	23	m.diallo	m.diallo	PROPN
ejpam-3834	112	24	/	/	SYM
ejpam-3834	112	25	eur	eur	PROPN
ejpam-3834	112	26	.	.	PUNCT
ejpam-3834	113	1	j.	j.	PROPN
ejpam-3834	113	2	pure	pure	PROPN
ejpam-3834	113	3	appl	appl	PROPN
ejpam-3834	113	4	.	.	PROPN
ejpam-3834	113	5	math	math	PROPN
ejpam-3834	113	6	,	,	PUNCT
ejpam-3834	113	7	13	13	NUM
ejpam-3834	113	8	(	(	PUNCT
ejpam-3834	113	9	4	4	NUM
ejpam-3834	113	10	)	)	PUNCT
ejpam-3834	113	11	(	(	PUNCT
ejpam-3834	113	12	2020	2020	NUM
ejpam-3834	113	13	)	)	PUNCT
ejpam-3834	113	14	,	,	PUNCT
ejpam-3834	113	15	739	739	NUM
ejpam-3834	113	16	-	-	SYM
ejpam-3834	113	17	757	757	NUM
ejpam-3834	113	18	745	745	NUM
ejpam-3834	113	19	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3834	113	20	∫	∫	PROPN
ejpam-3834	113	21	uj+1,n	uj+1,n	PROPN
ejpam-3834	113	22	uj	uj	PROPN
ejpam-3834	113	23	,	,	PUNCT
ejpam-3834	113	24	n	n	CCONJ
ejpam-3834	113	25	du	du	NOUN
ejpam-3834	113	26	u	u	PROPN
ejpam-3834	113	27	log(1	log(1	NOUN
ejpam-3834	113	28	/	/	SYM
ejpam-3834	113	29	u	u	NOUN
ejpam-3834	113	30	)	)	PUNCT
ejpam-3834	113	31	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3834	113	32	≤	≤	ADJ
ejpam-3834	113	33	j−1ej	j−1ej	NOUN
ejpam-3834	113	34	,	,	PUNCT
ejpam-3834	113	35	n	n	CCONJ
ejpam-3834	113	36	|	|	ADV
ejpam-3834	113	37	log	log	VERB
ejpam-3834	113	38	n−	n−	PROPN
ejpam-3834	113	39	zn|	zn|	PROPN
ejpam-3834	113	40	.	.	PUNCT
ejpam-3834	114	1	(	(	PUNCT
ejpam-3834	114	2	14	14	NUM
ejpam-3834	114	3	)	)	PUNCT
ejpam-3834	114	4	hence	hence	ADV
ejpam-3834	114	5	1	1	NUM
ejpam-3834	114	6	k(n	k(n	NOUN
ejpam-3834	114	7	)	)	PUNCT
ejpam-3834	114	8	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3834	114	9	k(n)∑	k(n)∑	PROPN
ejpam-3834	114	10	j=1	j=1	PROPN
ejpam-3834	114	11	j	j	PROPN
ejpam-3834	114	12	∫	∫	PROPN
ejpam-3834	114	13	uj+1,n	uj+1,n	PROPN
ejpam-3834	114	14	uj	uj	PROPN
ejpam-3834	114	15	,	,	PUNCT
ejpam-3834	114	16	n	n	CCONJ
ejpam-3834	114	17	du	du	NOUN
ejpam-3834	114	18	u	u	PROPN
ejpam-3834	114	19	log(1	log(1	NOUN
ejpam-3834	114	20	/	/	SYM
ejpam-3834	114	21	u	u	NOUN
ejpam-3834	114	22	)	)	PUNCT
ejpam-3834	114	23	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3834	114	24	≤	≤	NUM
ejpam-3834	114	25	s∗k(n	s∗k(n	PROPN
ejpam-3834	114	26	)	)	PUNCT
ejpam-3834	115	1	k	k	PROPN
ejpam-3834	115	2	op((log	op((log	PROPN
ejpam-3834	115	3	n)−1	n)−1	PROPN
ejpam-3834	115	4	)	)	PUNCT
ejpam-3834	115	5	,	,	PUNCT
ejpam-3834	115	6	where	where	SCONJ
ejpam-3834	115	7	s∗k(n	s∗k(n	X
ejpam-3834	115	8	)	)	PUNCT
ejpam-3834	116	1	=	=	SYM
ejpam-3834	116	2	ej	ej	PROPN
ejpam-3834	116	3	,	,	PUNCT
ejpam-3834	116	4	n	n	PROPN
ejpam-3834	116	5	+	+	X
ejpam-3834	116	6	·	·	PUNCT
ejpam-3834	116	7	·	·	PUNCT
ejpam-3834	116	8	·	·	PUNCT
ejpam-3834	117	1	+	+	CCONJ
ejpam-3834	117	2	ek	ek	PROPN
ejpam-3834	117	3	,	,	PUNCT
ejpam-3834	117	4	n.	n.	PROPN
ejpam-3834	117	5	we	we	PRON
ejpam-3834	117	6	finally	finally	ADV
ejpam-3834	117	7	get	get	VERB
ejpam-3834	117	8	√	√	ADP
ejpam-3834	117	9	k(n	k(n	NOUN
ejpam-3834	117	10	)	)	PUNCT
ejpam-3834	117	11	(	(	PUNCT
ejpam-3834	117	12	hn	hn	PROPN
ejpam-3834	117	13	−	−	PROPN
ejpam-3834	117	14	γ	γ	PROPN
ejpam-3834	117	15	)	)	PUNCT
ejpam-3834	117	16	=	=	PROPN
ejpam-3834	117	17	γ	γ	X
ejpam-3834	117	18	s∗k(n	s∗k(n	PROPN
ejpam-3834	117	19	)	)	PUNCT
ejpam-3834	118	1	−	−	ADP
ejpam-3834	118	2	k√	k√	NOUN
ejpam-3834	118	3	k(n	k(n	X
ejpam-3834	118	4	)	)	PUNCT
ejpam-3834	119	1	+	+	VERB
ejpam-3834	119	2	op	op	NOUN
ejpam-3834	119	3	(	(	PUNCT
ejpam-3834	119	4	1	1	NUM
ejpam-3834	119	5	log	log	NOUN
ejpam-3834	119	6	n	n	NOUN
ejpam-3834	119	7	,	,	PUNCT
ejpam-3834	119	8	k3/2	k3/2	NOUN
ejpam-3834	119	9	(	(	PUNCT
ejpam-3834	119	10	log	log	PROPN
ejpam-3834	119	11	n)2	n)2	PROPN
ejpam-3834	119	12	)	)	PUNCT
ejpam-3834	119	13	we	we	PRON
ejpam-3834	119	14	conclude	conclude	VERB
ejpam-3834	119	15	that	that	SCONJ
ejpam-3834	119	16	,	,	PUNCT
ejpam-3834	119	17	whenever	whenever	SCONJ
ejpam-3834	119	18	(	(	PUNCT
ejpam-3834	119	19	k1	k1	NOUN
ejpam-3834	119	20	)	)	PUNCT
ejpam-3834	119	21	holds	hold	VERB
ejpam-3834	119	22	,	,	PUNCT
ejpam-3834	119	23	we	we	PRON
ejpam-3834	119	24	have	have	VERB
ejpam-3834	119	25	√	√	NUM
ejpam-3834	119	26	k(n	k(n	NOUN
ejpam-3834	119	27	)	)	PUNCT
ejpam-3834	119	28	(	(	PUNCT
ejpam-3834	119	29	hn	hn	PROPN
ejpam-3834	119	30	−	−	PROPN
ejpam-3834	119	31	γ	γ	PROPN
ejpam-3834	119	32	)	)	PUNCT
ejpam-3834	119	33	=	=	PROPN
ejpam-3834	119	34	γ	γ	X
ejpam-3834	119	35	s∗k(n	s∗k(n	PROPN
ejpam-3834	119	36	)	)	PUNCT
ejpam-3834	119	37	−	−	NOUN
ejpam-3834	119	38	k√	k√	NOUN
ejpam-3834	119	39	n	n	X
ejpam-3834	119	40	+	+	CCONJ
ejpam-3834	119	41	op(1	op(1	NOUN
ejpam-3834	119	42	)	)	PUNCT
ejpam-3834	119	43	.	.	PUNCT
ejpam-3834	120	1	�	�	PROPN
ejpam-3834	120	2	proof	proof	NOUN
ejpam-3834	120	3	of	of	ADP
ejpam-3834	120	4	the	the	DET
ejpam-3834	120	5	corollary	corollary	ADJ
ejpam-3834	120	6	1	1	NUM
ejpam-3834	120	7	.	.	PUNCT
ejpam-3834	121	1	the	the	DET
ejpam-3834	121	2	proof	proof	NOUN
ejpam-3834	121	3	of	of	ADP
ejpam-3834	121	4	part	part	NOUN
ejpam-3834	121	5	(	(	PUNCT
ejpam-3834	121	6	b	b	NOUN
ejpam-3834	121	7	)	)	PUNCT
ejpam-3834	121	8	is	be	AUX
ejpam-3834	121	9	the	the	DET
ejpam-3834	121	10	conclusion	conclusion	NOUN
ejpam-3834	121	11	of	of	ADP
ejpam-3834	121	12	the	the	DET
ejpam-3834	121	13	proof	proof	NOUN
ejpam-3834	121	14	of	of	ADP
ejpam-3834	121	15	theorem	theorem	ADJ
ejpam-3834	121	16	1	1	NUM
ejpam-3834	121	17	up	up	ADP
ejpam-3834	121	18	to	to	ADP
ejpam-3834	121	19	the	the	DET
ejpam-3834	121	20	formula	formula	NOUN
ejpam-3834	121	21	(	(	PUNCT
ejpam-3834	121	22	14	14	NUM
ejpam-3834	121	23	)	)	PUNCT
ejpam-3834	121	24	.	.	PUNCT
ejpam-3834	122	1	if	if	SCONJ
ejpam-3834	122	2	(	(	PUNCT
ejpam-3834	122	3	12	12	NUM
ejpam-3834	122	4	)	)	PUNCT
ejpam-3834	122	5	holds	hold	NOUN
ejpam-3834	122	6	,	,	PUNCT
ejpam-3834	122	7	further	further	ADJ
ejpam-3834	122	8	steps	step	NOUN
ejpam-3834	122	9	are	be	AUX
ejpam-3834	122	10	dismissed	dismiss	VERB
ejpam-3834	122	11	.	.	PUNCT
ejpam-3834	123	1	and	and	CCONJ
ejpam-3834	123	2	we	we	PRON
ejpam-3834	123	3	need	need	VERB
ejpam-3834	123	4	only	only	ADV
ejpam-3834	123	5	k(n)/n→	k(n)/n→	NOUN
ejpam-3834	123	6	0	0	NUM
ejpam-3834	123	7	to	to	PART
ejpam-3834	123	8	conclude	conclude	VERB
ejpam-3834	123	9	.	.	PUNCT
ejpam-3834	124	1	let	let	VERB
ejpam-3834	124	2	us	we	PRON
ejpam-3834	124	3	set	set	VERB
ejpam-3834	124	4	z∗n	z∗n	NUM
ejpam-3834	124	5	=	=	SYM
ejpam-3834	124	6	1√	1√	NUM
ejpam-3834	124	7	k(n	k(n	X
ejpam-3834	124	8	)	)	PUNCT
ejpam-3834	125	1	k(n)∑	k(n)∑	PROPN
ejpam-3834	126	1	j=1	j=1	PROPN
ejpam-3834	126	2	j	j	PROPN
ejpam-3834	126	3	∫	∫	PROPN
ejpam-3834	126	4	uj+1,n	uj+1,n	PROPN
ejpam-3834	126	5	uj	uj	PROPN
ejpam-3834	126	6	,	,	PUNCT
ejpam-3834	126	7	n	n	CCONJ
ejpam-3834	126	8	du	du	NOUN
ejpam-3834	126	9	u	u	PROPN
ejpam-3834	126	10	log(1	log(1	NOUN
ejpam-3834	126	11	/	/	SYM
ejpam-3834	126	12	u	u	NOUN
ejpam-3834	126	13	)	)	PUNCT
ejpam-3834	126	14	,	,	PUNCT
ejpam-3834	126	15	n	n	X
ejpam-3834	126	16	≥	≥	NOUN
ejpam-3834	126	17	1	1	NUM
ejpam-3834	126	18	.	.	PUNCT
ejpam-3834	127	1	from	from	ADP
ejpam-3834	127	2	the	the	DET
ejpam-3834	127	3	first	first	ADJ
ejpam-3834	127	4	part	part	NOUN
ejpam-3834	127	5	,	,	PUNCT
ejpam-3834	127	6	we	we	PRON
ejpam-3834	127	7	already	already	ADV
ejpam-3834	127	8	know	know	VERB
ejpam-3834	127	9	that	that	SCONJ
ejpam-3834	127	10	z∗n	z∗n	NUM
ejpam-3834	127	11	=	=	SYM
ejpam-3834	127	12	op(1/	op(1/	NUM
ejpam-3834	127	13	log	log	NOUN
ejpam-3834	127	14	n	n	CCONJ
ejpam-3834	127	15	)	)	PUNCT
ejpam-3834	127	16	.	.	PUNCT
ejpam-3834	128	1	we	we	PRON
ejpam-3834	128	2	denoted	denote	VERB
ejpam-3834	128	3	by	by	ADP
ejpam-3834	128	4	w	w	PROPN
ejpam-3834	128	5	(	(	PUNCT
ejpam-3834	128	6	1	1	NUM
ejpam-3834	128	7	)	)	PUNCT
ejpam-3834	128	8	a	a	DET
ejpam-3834	128	9	standard	standard	ADJ
ejpam-3834	128	10	gaussian	gaussian	ADJ
ejpam-3834	128	11	random	random	ADJ
ejpam-3834	128	12	variable	variable	NOUN
ejpam-3834	128	13	.	.	PUNCT
ejpam-3834	129	1	by	by	ADP
ejpam-3834	129	2	the	the	DET
ejpam-3834	129	3	classical	classical	ADJ
ejpam-3834	129	4	kómlos	kómlos	PROPN
ejpam-3834	129	5	-	-	ADJ
ejpam-3834	129	6	màjor	màjor	NOUN
ejpam-3834	129	7	-	-	PUNCT
ejpam-3834	129	8	tusnàdy	tusnàdy	NOUN
ejpam-3834	129	9	(	(	PUNCT
ejpam-3834	129	10	kmt	kmt	PROPN
ejpam-3834	129	11	)	)	PUNCT
ejpam-3834	129	12	approximation	approximation	NOUN
ejpam-3834	129	13	,	,	PUNCT
ejpam-3834	129	14	we	we	PRON
ejpam-3834	129	15	have∣∣∣∣∣s∗k(n)−	have∣∣∣∣∣s∗k(n)−	PROPN
ejpam-3834	129	16	k(n)√	k(n)√	VERB
ejpam-3834	129	17	k(n	k(n	X
ejpam-3834	129	18	)	)	PUNCT
ejpam-3834	129	19	−	−	PROPN
ejpam-3834	129	20	γw	γw	NOUN
ejpam-3834	129	21	(	(	PUNCT
ejpam-3834	129	22	1	1	NUM
ejpam-3834	129	23	)	)	PUNCT
ejpam-3834	129	24	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3834	130	1	=	=	SYM
ejpam-3834	130	2	op	op	NOUN
ejpam-3834	130	3	(	(	PUNCT
ejpam-3834	130	4	log	log	PROPN
ejpam-3834	130	5	k(n)√	k(n)√	X
ejpam-3834	130	6	k(n	k(n	X
ejpam-3834	130	7	)	)	PUNCT
ejpam-3834	130	8	)	)	PUNCT
ejpam-3834	130	9	.	.	PUNCT
ejpam-3834	131	1	straightforward	straightforward	ADJ
ejpam-3834	131	2	expansions	expansion	NOUN
ejpam-3834	131	3	using	use	VERB
ejpam-3834	131	4	the	the	DET
ejpam-3834	131	5	different	different	ADJ
ejpam-3834	131	6	rates	rate	NOUN
ejpam-3834	131	7	of	of	ADP
ejpam-3834	131	8	convergence	convergence	NOUN
ejpam-3834	131	9	lead	lead	NOUN
ejpam-3834	131	10	to√	to√	VERB
ejpam-3834	131	11	k(n)(hn	k(n)(hn	PROPN
ejpam-3834	132	1	−	−	PROPN
ejpam-3834	132	2	γ)−	γ)−	PROPN
ejpam-3834	132	3	γw	γw	PROPN
ejpam-3834	132	4	(	(	PUNCT
ejpam-3834	132	5	1	1	X
ejpam-3834	132	6	)	)	PUNCT
ejpam-3834	132	7	γz∗n	γz∗n	NOUN
ejpam-3834	132	8	→p	→p	PROPN
ejpam-3834	132	9	1	1	NUM
ejpam-3834	132	10	,	,	PUNCT
ejpam-3834	132	11	whenever	whenever	SCONJ
ejpam-3834	132	12	k(n)/n	k(n)/n	PROPN
ejpam-3834	132	13	→	→	SYM
ejpam-3834	132	14	0	0	X
ejpam-3834	132	15	.	.	PUNCT
ejpam-3834	133	1	now	now	ADV
ejpam-3834	133	2	we	we	PRON
ejpam-3834	133	3	apply	apply	VERB
ejpam-3834	133	4	proposition	proposition	NOUN
ejpam-3834	133	5	in	in	ADP
ejpam-3834	133	6	[	[	X
ejpam-3834	133	7	9	9	NUM
ejpam-3834	133	8	]	]	PUNCT
ejpam-3834	133	9	,	,	PUNCT
ejpam-3834	133	10	page	page	NOUN
ejpam-3834	133	11	22	22	NUM
ejpam-3834	133	12	.	.	PUNCT
ejpam-3834	134	1	since	since	SCONJ
ejpam-3834	134	2	the	the	DET
ejpam-3834	134	3	function	function	NOUN
ejpam-3834	134	4	log(1	log(1	NOUN
ejpam-3834	134	5	/	/	SYM
ejpam-3834	134	6	u	u	NOUN
ejpam-3834	134	7	)	)	PUNCT
ejpam-3834	134	8	is	be	AUX
ejpam-3834	134	9	slowly	slowly	ADV
ejpam-3834	134	10	varying	vary	VERB
ejpam-3834	134	11	and	and	CCONJ
ejpam-3834	134	12	that	that	SCONJ
ejpam-3834	134	13	u1,n	u1,n	PROPN
ejpam-3834	134	14	/	/	SYM
ejpam-3834	134	15	uk+1,n	uk+1,n	NOUN
ejpam-3834	134	16	and	and	CCONJ
ejpam-3834	134	17	uk+1,n	uk+1,n	NOUN
ejpam-3834	134	18	/	/	SYM
ejpam-3834	134	19	u1,n	u1,n	PROPN
ejpam-3834	134	20	are	be	AUX
ejpam-3834	134	21	both	both	PRON
ejpam-3834	134	22	asymptotically	asymptotically	ADV
ejpam-3834	134	23	bounded	bound	VERB
ejpam-3834	134	24	in	in	ADP
ejpam-3834	134	25	probability	probability	NOUN
ejpam-3834	134	26	,	,	PUNCT
ejpam-3834	134	27	we	we	PRON
ejpam-3834	134	28	have	have	VERB
ejpam-3834	134	29	g.s	g.s	PROPN
ejpam-3834	134	30	.	.	PROPN
ejpam-3834	134	31	lo	lo	PROPN
ejpam-3834	134	32	,	,	PUNCT
ejpam-3834	134	33	m.	m.	NOUN
ejpam-3834	134	34	ngom	ngom	PROPN
ejpam-3834	134	35	,	,	PUNCT
ejpam-3834	134	36	m.diallo	m.diallo	PROPN
ejpam-3834	134	37	/	/	SYM
ejpam-3834	134	38	eur	eur	PROPN
ejpam-3834	134	39	.	.	PUNCT
ejpam-3834	135	1	j.	j.	PROPN
ejpam-3834	135	2	pure	pure	PROPN
ejpam-3834	135	3	appl	appl	PROPN
ejpam-3834	135	4	.	.	PROPN
ejpam-3834	135	5	math	math	PROPN
ejpam-3834	135	6	,	,	PUNCT
ejpam-3834	135	7	13	13	NUM
ejpam-3834	135	8	(	(	PUNCT
ejpam-3834	135	9	4	4	NUM
ejpam-3834	135	10	)	)	PUNCT
ejpam-3834	135	11	(	(	PUNCT
ejpam-3834	135	12	2020	2020	NUM
ejpam-3834	135	13	)	)	PUNCT
ejpam-3834	135	14	,	,	PUNCT
ejpam-3834	135	15	739	739	NUM
ejpam-3834	135	16	-	-	SYM
ejpam-3834	135	17	757	757	NUM
ejpam-3834	135	18	746	746	NUM
ejpam-3834	135	19	tn	tn	NOUN
ejpam-3834	135	20	=	=	PUNCT
ejpam-3834	135	21	sup	sup	NUM
ejpam-3834	135	22	1≤j≤k(n	1≤j≤k(n	NUM
ejpam-3834	135	23	)	)	PUNCT
ejpam-3834	135	24	sup	sup	PROPN
ejpam-3834	135	25	s∈[uj	s∈[uj	PROPN
ejpam-3834	135	26	,	,	PUNCT
ejpam-3834	135	27	n	n	CCONJ
ejpam-3834	135	28	,	,	PUNCT
ejpam-3834	135	29	uj+1,n	uj+1,n	PROPN
ejpam-3834	135	30	]	]	PUNCT
ejpam-3834	136	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3834	136	2	log(1	log(1	NOUN
ejpam-3834	136	3	/	/	SYM
ejpam-3834	136	4	s	s	X
ejpam-3834	136	5	)	)	PUNCT
ejpam-3834	136	6	log	log	NOUN
ejpam-3834	136	7	n	n	CCONJ
ejpam-3834	136	8	−	−	PROPN
ejpam-3834	136	9	1	1	NUM
ejpam-3834	136	10	∣∣∣∣→p	∣∣∣∣→p	PROPN
ejpam-3834	136	11	0	0	NUM
ejpam-3834	136	12	.	.	PUNCT
ejpam-3834	137	1	it	it	PRON
ejpam-3834	137	2	comes	come	VERB
ejpam-3834	137	3	that	that	SCONJ
ejpam-3834	137	4	z∗n	z∗n	NUM
ejpam-3834	137	5	=	=	SYM
ejpam-3834	137	6	√	√	NUM
ejpam-3834	137	7	k(n	k(n	PROPN
ejpam-3834	137	8	)	)	PUNCT
ejpam-3834	137	9	log	log	VERB
ejpam-3834	137	10	n	n	NOUN
ejpam-3834	137	11	(	(	PUNCT
ejpam-3834	137	12	k−1(n)s	k−1(n)s	PROPN
ejpam-3834	137	13	∗	∗	VERB
ejpam-3834	137	14	k(n))(1	k(n))(1	PROPN
ejpam-3834	137	15	+	+	NOUN
ejpam-3834	137	16	o(tn	o(tn	NOUN
ejpam-3834	137	17	)	)	PUNCT
ejpam-3834	137	18	)	)	PUNCT
ejpam-3834	138	1	=	=	SYM
ejpam-3834	138	2	√	√	NUM
ejpam-3834	138	3	k(n	k(n	NOUN
ejpam-3834	138	4	)	)	PUNCT
ejpam-3834	138	5	log	log	VERB
ejpam-3834	138	6	n	n	NOUN
ejpam-3834	138	7	(	(	PUNCT
ejpam-3834	138	8	1	1	NUM
ejpam-3834	138	9	+	+	NUM
ejpam-3834	138	10	o(1	o(1	NOUN
ejpam-3834	138	11	)	)	PUNCT
ejpam-3834	138	12	)	)	PUNCT
ejpam-3834	138	13	,	,	PUNCT
ejpam-3834	138	14	which	which	PRON
ejpam-3834	138	15	gives	give	VERB
ejpam-3834	138	16	the	the	DET
ejpam-3834	138	17	desired	desire	VERB
ejpam-3834	138	18	result	result	NOUN
ejpam-3834	138	19	.	.	PUNCT
ejpam-3834	139	1	�	�	PROPN
ejpam-3834	139	2	we	we	PRON
ejpam-3834	139	3	have	have	VERB
ejpam-3834	139	4	the	the	DET
ejpam-3834	139	5	following	follow	VERB
ejpam-3834	139	6	convergence	convergence	NOUN
ejpam-3834	139	7	of	of	ADP
ejpam-3834	139	8	the	the	DET
ejpam-3834	139	9	double	double	ADJ
ejpam-3834	139	10	-	-	PUNCT
ejpam-3834	139	11	indexed	index	VERB
ejpam-3834	139	12	functional	functional	ADJ
ejpam-3834	139	13	hill	hill	NOUN
ejpam-3834	139	14	statistics	statistic	NOUN
ejpam-3834	139	15	.	.	PUNCT
ejpam-3834	140	1	theorem	theorem	NOUN
ejpam-3834	140	2	2	2	NUM
ejpam-3834	140	3	.	.	X
ejpam-3834	141	1	we	we	PRON
ejpam-3834	141	2	have	have	VERB
ejpam-3834	141	3	the	the	DET
ejpam-3834	141	4	following	follow	VERB
ejpam-3834	141	5	two	two	NUM
ejpam-3834	141	6	results	result	NOUN
ejpam-3834	141	7	.	.	PUNCT
ejpam-3834	142	1	(	(	PUNCT
ejpam-3834	142	2	a	a	X
ejpam-3834	142	3	)	)	PUNCT
ejpam-3834	142	4	if	if	SCONJ
ejpam-3834	142	5	the	the	DET
ejpam-3834	142	6	following	follow	VERB
ejpam-3834	142	7	conditions	condition	NOUN
ejpam-3834	142	8	hold	hold	VERB
ejpam-3834	142	9	,	,	PUNCT
ejpam-3834	142	10	as	as	ADP
ejpam-3834	142	11	n→	n→	ADV
ejpam-3834	142	12	+	+	PROPN
ejpam-3834	142	13	∞	∞	PROPN
ejpam-3834	142	14	sn(f	sn(f	PROPN
ejpam-3834	142	15	,	,	PUNCT
ejpam-3834	142	16	1)/(sn(f	1)/(sn(f	NUM
ejpam-3834	142	17	,	,	PUNCT
ejpam-3834	142	18	s	s	PART
ejpam-3834	142	19	)	)	PUNCT
ejpam-3834	142	20	log	log	VERB
ejpam-3834	142	21	n)→	n)→	NOUN
ejpam-3834	142	22	0	0	PUNCT
ejpam-3834	142	23	and	and	CCONJ
ejpam-3834	142	24	bn(f	bn(f	ADV
ejpam-3834	142	25	,	,	PUNCT
ejpam-3834	142	26	s)→	s)→	NOUN
ejpam-3834	142	27	0	0	NUM
ejpam-3834	142	28	,	,	PUNCT
ejpam-3834	142	29	then	then	ADV
ejpam-3834	142	30	tn(f	tn(f	ADV
ejpam-3834	142	31	,	,	PUNCT
ejpam-3834	142	32	s)−	s)−	PROPN
ejpam-3834	142	33	γsan(f	γsan(f	PROPN
ejpam-3834	142	34	,	,	PUNCT
ejpam-3834	142	35	s	s	PROPN
ejpam-3834	142	36	)	)	PUNCT
ejpam-3834	143	1	sn(f	sn(f	PROPN
ejpam-3834	143	2	,	,	PUNCT
ejpam-3834	143	3	s	s	X
ejpam-3834	143	4	)	)	PUNCT
ejpam-3834	143	5	n	n	CCONJ
ejpam-3834	143	6	(	(	PUNCT
ejpam-3834	143	7	0	0	NUM
ejpam-3834	143	8	,	,	PUNCT
ejpam-3834	143	9	γ2s	γ2s	NUM
ejpam-3834	143	10	)	)	PUNCT
ejpam-3834	143	11	.	.	PUNCT
ejpam-3834	144	1	(	(	PUNCT
ejpam-3834	144	2	b	b	X
ejpam-3834	144	3	)	)	PUNCT
ejpam-3834	144	4	furthermore	furthermore	ADV
ejpam-3834	144	5	,	,	PUNCT
ejpam-3834	144	6	if	if	SCONJ
ejpam-3834	144	7	an(f	an(f	ADV
ejpam-3834	144	8	,	,	PUNCT
ejpam-3834	144	9	s)/sn(f	s)/sn(f	ADV
ejpam-3834	144	10	,	,	PUNCT
ejpam-3834	144	11	s)→	s)→	NOUN
ejpam-3834	144	12	+	+	NOUN
ejpam-3834	144	13	∞	∞	PROPN
ejpam-3834	144	14	,	,	PUNCT
ejpam-3834	144	15	then	then	ADV
ejpam-3834	144	16	an(f	an(f	PUNCT
ejpam-3834	144	17	,	,	PUNCT
ejpam-3834	144	18	s	s	X
ejpam-3834	144	19	)	)	PUNCT
ejpam-3834	144	20	sn(f	sn(f	PROPN
ejpam-3834	144	21	,	,	PUNCT
ejpam-3834	144	22	s	s	AUX
ejpam-3834	144	23	)	)	PUNCT
ejpam-3834	144	24	(	(	PUNCT
ejpam-3834	144	25	(	(	PUNCT
ejpam-3834	144	26	tn(f	tn(f	X
ejpam-3834	144	27	,	,	PUNCT
ejpam-3834	144	28	s	s	X
ejpam-3834	144	29	)	)	PUNCT
ejpam-3834	144	30	an(f	an(f	ADV
ejpam-3834	144	31	,	,	PUNCT
ejpam-3834	144	32	s	s	X
ejpam-3834	144	33	)	)	PUNCT
ejpam-3834	144	34	)	)	PUNCT
ejpam-3834	145	1	1	1	X
ejpam-3834	145	2	/	/	SYM
ejpam-3834	145	3	s	s	PART
ejpam-3834	145	4	−	−	PROPN
ejpam-3834	145	5	γ	γ	NOUN
ejpam-3834	145	6	)	)	PUNCT
ejpam-3834	145	7	n	n	CCONJ
ejpam-3834	145	8	(	(	PUNCT
ejpam-3834	145	9	0	0	NUM
ejpam-3834	145	10	,	,	PUNCT
ejpam-3834	145	11	s−2γ2	s−2γ2	NOUN
ejpam-3834	145	12	)	)	PUNCT
ejpam-3834	145	13	.	.	PUNCT
ejpam-3834	146	1	proof	proof	NOUN
ejpam-3834	146	2	.	.	PUNCT
ejpam-3834	147	1	let	let	VERB
ejpam-3834	147	2	us	we	PRON
ejpam-3834	147	3	exploit	exploit	VERB
ejpam-3834	147	4	the	the	DET
ejpam-3834	147	5	proof	proof	NOUN
ejpam-3834	147	6	of	of	ADP
ejpam-3834	147	7	theorem	theorem	NOUN
ejpam-3834	147	8	1	1	X
ejpam-3834	147	9	.	.	PUNCT
ejpam-3834	148	1	we	we	PRON
ejpam-3834	148	2	have	have	VERB
ejpam-3834	148	3	for	for	ADP
ejpam-3834	148	4	j	j	PROPN
ejpam-3834	148	5	∈	∈	PROPN
ejpam-3834	148	6	{	{	PUNCT
ejpam-3834	148	7	1	1	NUM
ejpam-3834	148	8	,	,	PUNCT
ejpam-3834	148	9	·	·	PUNCT
ejpam-3834	148	10	·	·	PUNCT
ejpam-3834	148	11	·	·	PUNCT
ejpam-3834	148	12	,	,	PUNCT
ejpam-3834	148	13	k(n	k(n	PROPN
ejpam-3834	148	14	)	)	PUNCT
ejpam-3834	148	15	}	}	PUNCT
ejpam-3834	148	16	,	,	PUNCT
ejpam-3834	148	17	s	s	VERB
ejpam-3834	148	18	≥	≥	NOUN
ejpam-3834	148	19	1	1	NUM
ejpam-3834	148	20	,	,	PUNCT
ejpam-3834	148	21	ai	ai	VERB
ejpam-3834	148	22	,	,	PUNCT
ejpam-3834	148	23	n	n	NOUN
ejpam-3834	148	24	=	=	SYM
ejpam-3834	148	25	f(j	f(j	NOUN
ejpam-3834	148	26	)	)	PUNCT
ejpam-3834	148	27	(	(	PUNCT
ejpam-3834	148	28	xn−j+1,n	xn−j+1,n	X
ejpam-3834	148	29	−xn−j	−xn−j	X
ejpam-3834	148	30	,	,	PUNCT
ejpam-3834	148	31	n)s	n)s	ADJ
ejpam-3834	149	1	=	=	PUNCT
ejpam-3834	150	1	f(j	f(j	NOUN
ejpam-3834	150	2	)	)	PUNCT
ejpam-3834	150	3	(	(	PUNCT
ejpam-3834	150	4	γj−1ej	γj−1ej	NUM
ejpam-3834	150	5	,	,	PUNCT
ejpam-3834	150	6	n	n	PRON
ejpam-3834	150	7	−	−	PROPN
ejpam-3834	150	8	γ	γ	PROPN
ejpam-3834	150	9	∫	∫	PROPN
ejpam-3834	150	10	uj+1,n	uj+1,n	PROPN
ejpam-3834	150	11	uj	uj	PROPN
ejpam-3834	150	12	,	,	PUNCT
ejpam-3834	150	13	n	n	CCONJ
ejpam-3834	150	14	du	du	NOUN
ejpam-3834	150	15	u	u	PROPN
ejpam-3834	150	16	log(1	log(1	NOUN
ejpam-3834	150	17	/	/	SYM
ejpam-3834	150	18	u	u	NOUN
ejpam-3834	150	19	)	)	PUNCT
ejpam-3834	151	1	+	+	VERB
ejpam-3834	151	2	op	op	NOUN
ejpam-3834	151	3	(	(	PUNCT
ejpam-3834	151	4	fk(n	fk(n	NOUN
ejpam-3834	151	5	)	)	PUNCT
ejpam-3834	151	6	(	(	PUNCT
ejpam-3834	151	7	logn)−2	logn)−2	PROPN
ejpam-3834	151	8	)	)	PUNCT
ejpam-3834	151	9	)	)	PUNCT
ejpam-3834	151	10	s	s	VERB
ejpam-3834	152	1	=	=	NOUN
ejpam-3834	152	2	:	:	PUNCT
ejpam-3834	152	3	f(j	f(j	NOUN
ejpam-3834	152	4	)	)	PUNCT
ejpam-3834	152	5	(	(	PUNCT
ejpam-3834	152	6	γj−1ej	γj−1ej	NUM
ejpam-3834	152	7	,	,	PUNCT
ejpam-3834	152	8	n	n	PRON
ejpam-3834	152	9	−rj	−rj	NOUN
ejpam-3834	152	10	,	,	PUNCT
ejpam-3834	152	11	n	n	PROPN
ejpam-3834	152	12	+	+	NUM
ejpam-3834	152	13	cj	cj	NOUN
ejpam-3834	152	14	,	,	PUNCT
ejpam-3834	152	15	n	n	NOUN
ejpam-3834	152	16	)	)	PUNCT
ejpam-3834	152	17	s	s	PART
ejpam-3834	152	18	,	,	PUNCT
ejpam-3834	152	19	with	with	ADP
ejpam-3834	152	20	cj	cj	NOUN
ejpam-3834	152	21	,	,	PUNCT
ejpam-3834	152	22	n	n	NOUN
ejpam-3834	152	23	=	=	NOUN
ejpam-3834	152	24	op	op	NOUN
ejpam-3834	152	25	(	(	PUNCT
ejpam-3834	152	26	(	(	PUNCT
ejpam-3834	152	27	logn)−2	logn)−2	PROPN
ejpam-3834	152	28	)	)	PUNCT
ejpam-3834	152	29	(	(	PUNCT
ejpam-3834	152	30	uniformly	uniformly	ADV
ejpam-3834	152	31	in	in	ADP
ejpam-3834	152	32	j	j	PROPN
ejpam-3834	152	33	)	)	PUNCT
ejpam-3834	152	34	,	,	PUNCT
ejpam-3834	152	35	∣∣∣∣∣γ	∣∣∣∣∣γ	PROPN
ejpam-3834	152	36	∫	∫	PROPN
ejpam-3834	152	37	uj+1,n	uj+1,n	PROPN
ejpam-3834	152	38	uj	uj	PROPN
ejpam-3834	152	39	,	,	PUNCT
ejpam-3834	152	40	n	n	CCONJ
ejpam-3834	152	41	du	du	NOUN
ejpam-3834	152	42	u	u	PROPN
ejpam-3834	152	43	log(1	log(1	NOUN
ejpam-3834	152	44	/	/	SYM
ejpam-3834	152	45	u	u	NOUN
ejpam-3834	152	46	)	)	PUNCT
ejpam-3834	152	47	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3834	152	48	≤	≤	NOUN
ejpam-3834	152	49	γj−1ej	γj−1ej	NUM
ejpam-3834	152	50	,	,	PUNCT
ejpam-3834	152	51	nb(n	nb(n	NOUN
ejpam-3834	152	52	)	)	PUNCT
ejpam-3834	152	53	|	|	ADV
ejpam-3834	152	54	log	log	VERB
ejpam-3834	152	55	n−	n−	PROPN
ejpam-3834	152	56	zn|	zn|	PROPN
ejpam-3834	152	57	.	.	PUNCT
ejpam-3834	153	1	g.s	g.s	PROPN
ejpam-3834	153	2	.	.	PROPN
ejpam-3834	153	3	lo	lo	PROPN
ejpam-3834	153	4	,	,	PUNCT
ejpam-3834	153	5	m.	m.	NOUN
ejpam-3834	153	6	ngom	ngom	PROPN
ejpam-3834	153	7	,	,	PUNCT
ejpam-3834	153	8	m.diallo	m.diallo	PROPN
ejpam-3834	153	9	/	/	SYM
ejpam-3834	153	10	eur	eur	PROPN
ejpam-3834	153	11	.	.	PUNCT
ejpam-3834	154	1	j.	j.	PROPN
ejpam-3834	154	2	pure	pure	PROPN
ejpam-3834	154	3	appl	appl	PROPN
ejpam-3834	154	4	.	.	PROPN
ejpam-3834	154	5	math	math	PROPN
ejpam-3834	154	6	,	,	PUNCT
ejpam-3834	154	7	13	13	NUM
ejpam-3834	154	8	(	(	PUNCT
ejpam-3834	154	9	4	4	NUM
ejpam-3834	154	10	)	)	PUNCT
ejpam-3834	154	11	(	(	PUNCT
ejpam-3834	154	12	2020	2020	NUM
ejpam-3834	154	13	)	)	PUNCT
ejpam-3834	154	14	,	,	PUNCT
ejpam-3834	154	15	739	739	NUM
ejpam-3834	154	16	-	-	SYM
ejpam-3834	154	17	757	757	NUM
ejpam-3834	154	18	747	747	NUM
ejpam-3834	154	19	we	we	PRON
ejpam-3834	154	20	get	get	VERB
ejpam-3834	154	21	,	,	PUNCT
ejpam-3834	154	22	by	by	ADP
ejpam-3834	154	23	the	the	DET
ejpam-3834	154	24	mean	mean	ADJ
ejpam-3834	154	25	value	value	NOUN
ejpam-3834	154	26	theorem	theorem	VERB
ejpam-3834	154	27	,	,	PUNCT
ejpam-3834	154	28	j	j	PROPN
ejpam-3834	154	29	∈	∈	PROPN
ejpam-3834	154	30	{	{	PUNCT
ejpam-3834	154	31	1	1	NUM
ejpam-3834	154	32	,	,	PUNCT
ejpam-3834	154	33	·	·	PUNCT
ejpam-3834	154	34	·	·	PUNCT
ejpam-3834	154	35	·	·	PUNCT
ejpam-3834	154	36	,	,	PUNCT
ejpam-3834	154	37	k(n	k(n	PROPN
ejpam-3834	154	38	)	)	PUNCT
ejpam-3834	154	39	}	}	PUNCT
ejpam-3834	154	40	,	,	PUNCT
ejpam-3834	154	41	s	s	VERB
ejpam-3834	154	42	≥	≥	NOUN
ejpam-3834	154	43	1	1	NUM
ejpam-3834	154	44	,	,	PUNCT
ejpam-3834	154	45	ai	ai	VERB
ejpam-3834	154	46	,	,	PUNCT
ejpam-3834	154	47	n	n	CCONJ
ejpam-3834	154	48	−	−	PROPN
ejpam-3834	154	49	γsf(j)j−sesj	γsf(j)j−sesj	PROPN
ejpam-3834	154	50	,	,	PUNCT
ejpam-3834	154	51	n	n	PRON
ejpam-3834	154	52	≤	≤	NOUN
ejpam-3834	154	53	sf(j	sf(j	NUM
ejpam-3834	154	54	)	)	PUNCT
ejpam-3834	154	55	|rj	|rj	X
ejpam-3834	154	56	,	,	PUNCT
ejpam-3834	154	57	n	n	PROPN
ejpam-3834	154	58	+	+	CCONJ
ejpam-3834	154	59	cj	cj	NOUN
ejpam-3834	154	60	,	,	PUNCT
ejpam-3834	154	61	n|	n|	X
ejpam-3834	154	62	(	(	PUNCT
ejpam-3834	154	63	γj−1ej	γj−1ej	NUM
ejpam-3834	154	64	,	,	PUNCT
ejpam-3834	154	65	n	n	X
ejpam-3834	154	66	+	+	CCONJ
ejpam-3834	154	67	|rj	|rj	NUM
ejpam-3834	154	68	,	,	PUNCT
ejpam-3834	154	69	n|+	n|+	PROPN
ejpam-3834	154	70	|cj	|cj	PROPN
ejpam-3834	154	71	,	,	PUNCT
ejpam-3834	154	72	n|	n|	NOUN
ejpam-3834	154	73	)	)	PUNCT
ejpam-3834	154	74	s−1	s−1	PROPN
ejpam-3834	154	75	≤	≤	NOUN
ejpam-3834	154	76	(	(	PUNCT
ejpam-3834	154	77	sγf(j)j−1ej	sγf(j)j−1ej	ADJ
ejpam-3834	154	78	,	,	PUNCT
ejpam-3834	154	79	n	n	CCONJ
ejpam-3834	154	80	|	|	ADV
ejpam-3834	154	81	log	log	VERB
ejpam-3834	154	82	n−	n−	PROPN
ejpam-3834	154	83	zn|	zn|	PROPN
ejpam-3834	154	84	)	)	PUNCT
ejpam-3834	154	85	(	(	PUNCT
ejpam-3834	154	86	γj−1ej	γj−1ej	NUM
ejpam-3834	154	87	,	,	PUNCT
ejpam-3834	154	88	n	n	X
ejpam-3834	154	89	+	+	CCONJ
ejpam-3834	154	90	|rj	|rj	NUM
ejpam-3834	154	91	,	,	PUNCT
ejpam-3834	154	92	n|+	n|+	PROPN
ejpam-3834	154	93	|cj	|cj	PROPN
ejpam-3834	154	94	,	,	PUNCT
ejpam-3834	154	95	n|	n|	NOUN
ejpam-3834	154	96	)	)	PUNCT
ejpam-3834	154	97	s−1	s−1	PROPN
ejpam-3834	154	98	.	.	PUNCT
ejpam-3834	155	1	in	in	ADP
ejpam-3834	155	2	the	the	DET
ejpam-3834	155	3	lines	line	NOUN
ejpam-3834	155	4	below	below	ADV
ejpam-3834	155	5	,	,	PUNCT
ejpam-3834	155	6	we	we	PRON
ejpam-3834	155	7	will	will	AUX
ejpam-3834	155	8	bound	bind	VERB
ejpam-3834	155	9	the	the	DET
ejpam-3834	155	10	term	term	NOUN
ejpam-3834	155	11	with	with	ADP
ejpam-3834	155	12	the	the	DET
ejpam-3834	155	13	power	power	NOUN
ejpam-3834	155	14	s	s	VERB
ejpam-3834	155	15	−	−	PROPN
ejpam-3834	155	16	1	1	NUM
ejpam-3834	155	17	.	.	PUNCT
ejpam-3834	156	1	if	if	SCONJ
ejpam-3834	156	2	s	s	PART
ejpam-3834	156	3	=	=	NOUN
ejpam-3834	156	4	1	1	NUM
ejpam-3834	156	5	,	,	PUNCT
ejpam-3834	156	6	there	there	PRON
ejpam-3834	156	7	will	will	AUX
ejpam-3834	156	8	is	be	AUX
ejpam-3834	156	9	nothing	nothing	PRON
ejpam-3834	156	10	to	to	PART
ejpam-3834	156	11	bound	bind	VERB
ejpam-3834	156	12	.	.	PUNCT
ejpam-3834	157	1	so	so	ADV
ejpam-3834	157	2	formulas	formula	NOUN
ejpam-3834	157	3	regarding	regard	VERB
ejpam-3834	157	4	that	that	DET
ejpam-3834	157	5	term	term	NOUN
ejpam-3834	157	6	are	be	AUX
ejpam-3834	157	7	dismissed	dismiss	VERB
ejpam-3834	157	8	for	for	ADP
ejpam-3834	157	9	s	s	NOUN
ejpam-3834	157	10	=	=	SYM
ejpam-3834	157	11	1	1	NUM
ejpam-3834	157	12	and	and	CCONJ
ejpam-3834	157	13	are	be	AUX
ejpam-3834	157	14	used	use	VERB
ejpam-3834	157	15	only	only	ADV
ejpam-3834	157	16	for	for	ADP
ejpam-3834	157	17	s	s	PROPN
ejpam-3834	157	18	>	>	X
ejpam-3834	157	19	2	2	NUM
ejpam-3834	157	20	.	.	PUNCT
ejpam-3834	158	1	for	for	ADP
ejpam-3834	158	2	s	s	PRON
ejpam-3834	158	3	≥	≥	NOUN
ejpam-3834	158	4	1	1	NUM
ejpam-3834	158	5	,	,	PUNCT
ejpam-3834	158	6	we	we	PRON
ejpam-3834	158	7	will	will	AUX
ejpam-3834	158	8	use	use	VERB
ejpam-3834	158	9	the	the	DET
ejpam-3834	158	10	cs−1	cs−1	ADJ
ejpam-3834	158	11	inequality	inequality	NOUN
ejpam-3834	158	12	(	(	PUNCT
ejpam-3834	158	13	for	for	ADP
ejpam-3834	158	14	s	s	PRON
ejpam-3834	158	15	≤	≤	NOUN
ejpam-3834	158	16	2	2	NUM
ejpam-3834	158	17	,	,	PUNCT
ejpam-3834	158	18	with	with	ADP
ejpam-3834	158	19	|a+	|a+	PROPN
ejpam-3834	158	20	b|s−1	b|s−1	ADJ
ejpam-3834	158	21	≤	≤	NUM
ejpam-3834	158	22	2s−2|a|s−1	2s−2|a|s−1	NUM
ejpam-3834	159	1	+	+	CCONJ
ejpam-3834	159	2	|b|s−1	|b|s−1	NUM
ejpam-3834	159	3	cs−1	cs−1	NOUN
ejpam-3834	159	4	=	=	SYM
ejpam-3834	159	5	2s−2	2s−2	NUM
ejpam-3834	159	6	)	)	PUNCT
ejpam-3834	159	7	.	.	PUNCT
ejpam-3834	160	1	for	for	ADP
ejpam-3834	160	2	0	0	NUM
ejpam-3834	160	3	<	<	X
ejpam-3834	160	4	r	r	X
ejpam-3834	160	5	<	<	X
ejpam-3834	160	6	1	1	NUM
ejpam-3834	160	7	,	,	PUNCT
ejpam-3834	160	8	it	it	PRON
ejpam-3834	160	9	can	can	AUX
ejpam-3834	160	10	be	be	AUX
ejpam-3834	160	11	easily	easily	ADV
ejpam-3834	160	12	checked	check	VERB
ejpam-3834	160	13	that	that	SCONJ
ejpam-3834	160	14	,	,	PUNCT
ejpam-3834	160	15	for	for	SCONJ
ejpam-3834	160	16	u	u	PROPN
ejpam-3834	160	17	>	>	X
ejpam-3834	160	18	0	0	NUM
ejpam-3834	160	19	fixed	fix	VERB
ejpam-3834	160	20	,	,	PUNCT
ejpam-3834	160	21	the	the	DET
ejpam-3834	160	22	function	function	NOUN
ejpam-3834	160	23	g(v	g(v	PROPN
ejpam-3834	160	24	)	)	PUNCT
ejpam-3834	160	25	=	=	SYM
ejpam-3834	161	1	(	(	PUNCT
ejpam-3834	161	2	u	u	NOUN
ejpam-3834	161	3	+	+	NOUN
ejpam-3834	161	4	v)r	v)r	X
ejpam-3834	161	5	−	−	NOUN
ejpam-3834	162	1	ur	ur	INTJ
ejpam-3834	162	2	−	−	PROPN
ejpam-3834	162	3	vr	vr	PROPN
ejpam-3834	162	4	of	of	ADP
ejpam-3834	162	5	v	v	NUM
ejpam-3834	162	6	≥	≥	NOUN
ejpam-3834	162	7	0	0	NUM
ejpam-3834	162	8	takes	take	VERB
ejpam-3834	162	9	the	the	DET
ejpam-3834	162	10	value	value	NOUN
ejpam-3834	162	11	g(v	g(v	PROPN
ejpam-3834	162	12	)	)	PUNCT
ejpam-3834	162	13	=	=	SYM
ejpam-3834	162	14	0	0	PUNCT
ejpam-3834	162	15	and	and	CCONJ
ejpam-3834	162	16	has	have	VERB
ejpam-3834	162	17	a	a	DET
ejpam-3834	162	18	non	non	ADJ
ejpam-3834	162	19	-	-	ADJ
ejpam-3834	162	20	positive	positive	ADJ
ejpam-3834	162	21	derivative	derivative	ADJ
ejpam-3834	162	22	function	function	NOUN
ejpam-3834	162	23	,	,	PUNCT
ejpam-3834	162	24	so	so	SCONJ
ejpam-3834	162	25	that	that	SCONJ
ejpam-3834	162	26	g(v	g(v	NOUN
ejpam-3834	162	27	)	)	PUNCT
ejpam-3834	162	28	≤	≤	NUM
ejpam-3834	162	29	g(0	g(0	PROPN
ejpam-3834	162	30	)	)	PUNCT
ejpam-3834	162	31	=	=	SYM
ejpam-3834	162	32	0	0	NUM
ejpam-3834	162	33	for	for	ADP
ejpam-3834	162	34	any	any	DET
ejpam-3834	162	35	v	v	ADP
ejpam-3834	162	36	≥	≥	NOUN
ejpam-3834	162	37	0	0	NUM
ejpam-3834	162	38	,	,	PUNCT
ejpam-3834	162	39	which	which	PRON
ejpam-3834	162	40	is	be	AUX
ejpam-3834	162	41	equivalent	equivalent	ADJ
ejpam-3834	162	42	to	to	ADP
ejpam-3834	162	43	(	(	PUNCT
ejpam-3834	162	44	u	u	NOUN
ejpam-3834	162	45	+	+	X
ejpam-3834	162	46	v)r	v)r	NOUN
ejpam-3834	162	47	≤	≤	PUNCT
ejpam-3834	162	48	ur	ur	INTJ
ejpam-3834	163	1	+	+	X
ejpam-3834	163	2	vr	vr	PROPN
ejpam-3834	163	3	.	.	PUNCT
ejpam-3834	164	1	we	we	PRON
ejpam-3834	164	2	finally	finally	ADV
ejpam-3834	164	3	have	have	VERB
ejpam-3834	164	4	that	that	DET
ejpam-3834	164	5	|a	|a	VERB
ejpam-3834	164	6	+	+	X
ejpam-3834	164	7	b|s−1	b|s−1	ADJ
ejpam-3834	164	8	≤	≤	NOUN
ejpam-3834	164	9	ds|a|s−1	ds|a|s−1	NUM
ejpam-3834	164	10	+	+	CCONJ
ejpam-3834	164	11	|b|s−1	|b|s−1	NOUN
ejpam-3834	164	12	with	with	ADP
ejpam-3834	164	13	ds	ds	ADJ
ejpam-3834	164	14	=	=	SYM
ejpam-3834	164	15	1	1	NUM
ejpam-3834	164	16	for	for	ADP
ejpam-3834	164	17	1	1	NUM
ejpam-3834	164	18	<	<	X
ejpam-3834	164	19	s	s	X
ejpam-3834	164	20	<	<	X
ejpam-3834	164	21	2	2	NUM
ejpam-3834	164	22	and	and	CCONJ
ejpam-3834	164	23	ds	ds	ADJ
ejpam-3834	164	24	=	=	PUNCT
ejpam-3834	164	25	cs−1	cs−1	NOUN
ejpam-3834	164	26	for	for	ADP
ejpam-3834	164	27	s	s	PRON
ejpam-3834	164	28	≥	≥	NOUN
ejpam-3834	164	29	2	2	NUM
ejpam-3834	164	30	.	.	PUNCT
ejpam-3834	164	31	applying	apply	VERB
ejpam-3834	164	32	that	that	DET
ejpam-3834	164	33	inequality	inequality	NOUN
ejpam-3834	164	34	leads	lead	VERB
ejpam-3834	164	35	,	,	PUNCT
ejpam-3834	164	36	j	j	PROPN
ejpam-3834	164	37	∈	∈	PROPN
ejpam-3834	164	38	{	{	PUNCT
ejpam-3834	164	39	1	1	NUM
ejpam-3834	164	40	,	,	PUNCT
ejpam-3834	164	41	·	·	PUNCT
ejpam-3834	164	42	·	·	PUNCT
ejpam-3834	164	43	·	·	PUNCT
ejpam-3834	164	44	,	,	PUNCT
ejpam-3834	164	45	k(n	k(n	PROPN
ejpam-3834	164	46	)	)	PUNCT
ejpam-3834	164	47	}	}	PUNCT
ejpam-3834	164	48	,	,	PUNCT
ejpam-3834	164	49	s	s	VERB
ejpam-3834	164	50	≥	≥	NOUN
ejpam-3834	164	51	1	1	NUM
ejpam-3834	164	52	,	,	PUNCT
ejpam-3834	164	53	to	to	PART
ejpam-3834	164	54	ai	ai	VERB
ejpam-3834	164	55	,	,	PUNCT
ejpam-3834	164	56	n	n	CCONJ
ejpam-3834	164	57	−	−	PROPN
ejpam-3834	164	58	γsf(j)j−sesj	γsf(j)j−sesj	PROPN
ejpam-3834	164	59	,	,	PUNCT
ejpam-3834	164	60	n	n	CCONJ
ejpam-3834	164	61	(	(	PUNCT
ejpam-3834	164	62	a	a	X
ejpam-3834	164	63	)	)	PUNCT
ejpam-3834	164	64	≤	≤	NOUN
ejpam-3834	164	65	(	(	PUNCT
ejpam-3834	164	66	sγf(j)j−1ej	sγf(j)j−1ej	ADJ
ejpam-3834	164	67	,	,	PUNCT
ejpam-3834	164	68	n	n	CCONJ
ejpam-3834	164	69	|	|	ADV
ejpam-3834	164	70	log	log	VERB
ejpam-3834	164	71	n−	n−	PROPN
ejpam-3834	164	72	zn|	zn|	PROPN
ejpam-3834	164	73	)	)	PUNCT
ejpam-3834	164	74	(	(	PUNCT
ejpam-3834	164	75	dsγ	dsγ	PROPN
ejpam-3834	164	76	s−1js−1es−1j	s−1js−1es−1j	PROPN
ejpam-3834	164	77	,	,	PUNCT
ejpam-3834	164	78	n	n	PROPN
ejpam-3834	164	79	+	+	CCONJ
ejpam-3834	164	80	d2	d2	PROPN
ejpam-3834	164	81	sγ	sγ	PROPN
ejpam-3834	164	82	s−1js−1es−1j	s−1js−1es−1j	PROPN
ejpam-3834	164	83	,	,	PUNCT
ejpam-3834	164	84	n	n	CCONJ
ejpam-3834	164	85	(	(	PUNCT
ejpam-3834	164	86	|	|	ADV
ejpam-3834	164	87	log	log	VERB
ejpam-3834	164	88	n−xn|s−1	n−xn|s−1	NOUN
ejpam-3834	164	89	)	)	PUNCT
ejpam-3834	165	1	+	+	NOUN
ejpam-3834	165	2	op	op	NOUN
ejpam-3834	165	3	(	(	PUNCT
ejpam-3834	165	4	d2	d2	PROPN
ejpam-3834	165	5	s	s	PART
ejpam-3834	165	6	(	(	PUNCT
ejpam-3834	165	7	log	log	NOUN
ejpam-3834	165	8	n)2(s−1	n)2(s−1	PROPN
ejpam-3834	165	9	)	)	PUNCT
ejpam-3834	165	10	)	)	PUNCT
ejpam-3834	165	11	)	)	PUNCT
ejpam-3834	165	12	.	.	PUNCT
ejpam-3834	166	1	let	let	VERB
ejpam-3834	166	2	us	we	PRON
ejpam-3834	166	3	denote	denote	VERB
ejpam-3834	166	4	sn(f	sn(f	PROPN
ejpam-3834	166	5	,	,	PUNCT
ejpam-3834	166	6	s	s	X
ejpam-3834	166	7	)	)	PUNCT
ejpam-3834	166	8	=	=	PUNCT
ejpam-3834	167	1	k(n)∑	k(n)∑	PROPN
ejpam-3834	167	2	j=1	j=1	PROPN
ejpam-3834	167	3	f(j)j−sesj	f(j)j−sesj	PROPN
ejpam-3834	167	4	,	,	PUNCT
ejpam-3834	167	5	n	n	PROPN
ejpam-3834	167	6	and	and	CCONJ
ejpam-3834	167	7	tn(f	tn(f	NUM
ejpam-3834	167	8	,	,	PUNCT
ejpam-3834	167	9	s	s	X
ejpam-3834	167	10	)	)	PUNCT
ejpam-3834	167	11	=	=	PUNCT
ejpam-3834	168	1	k(n)∑	k(n)∑	X
ejpam-3834	168	2	j=1	j=1	PROPN
ejpam-3834	168	3	f(j	f(j	NOUN
ejpam-3834	168	4	)	)	PUNCT
ejpam-3834	168	5	(	(	PUNCT
ejpam-3834	168	6	xn−j+1,n	xn−j+1,n	X
ejpam-3834	168	7	−xn−j	−xn−j	X
ejpam-3834	168	8	,	,	PUNCT
ejpam-3834	168	9	n)s	n)s	ADJ
ejpam-3834	168	10	.	.	PUNCT
ejpam-3834	169	1	by	by	ADP
ejpam-3834	169	2	combining	combine	VERB
ejpam-3834	169	3	the	the	DET
ejpam-3834	169	4	results	result	NOUN
ejpam-3834	169	5	above	above	ADV
ejpam-3834	169	6	,	,	PUNCT
ejpam-3834	169	7	we	we	PRON
ejpam-3834	169	8	arrive	arrive	VERB
ejpam-3834	169	9	at	at	ADP
ejpam-3834	169	10	∣∣∣∣tn(f	∣∣∣∣tn(f	PROPN
ejpam-3834	169	11	,	,	PUNCT
ejpam-3834	169	12	s)−	s)−	PROPN
ejpam-3834	169	13	γssn(f	γssn(f	PROPN
ejpam-3834	169	14	,	,	PUNCT
ejpam-3834	169	15	s	s	NOUN
ejpam-3834	169	16	)	)	PUNCT
ejpam-3834	169	17	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3834	169	18	(	(	PUNCT
ejpam-3834	169	19	b	b	NOUN
ejpam-3834	169	20	)	)	PUNCT
ejpam-3834	169	21	≤	≤	NOUN
ejpam-3834	169	22	(	(	PUNCT
ejpam-3834	169	23	sγsn(f	sγsn(f	INTJ
ejpam-3834	169	24	,	,	PUNCT
ejpam-3834	169	25	1	1	NUM
ejpam-3834	169	26	)	)	PUNCT
ejpam-3834	169	27	|	|	ADV
ejpam-3834	169	28	log	log	VERB
ejpam-3834	169	29	n−	n−	PROPN
ejpam-3834	169	30	zn|	zn|	PROPN
ejpam-3834	169	31	)	)	PUNCT
ejpam-3834	170	1	(	(	PUNCT
ejpam-3834	170	2	dsγ	dsγ	PROPN
ejpam-3834	170	3	s−1sn(id	s−1sn(id	PROPN
ejpam-3834	170	4	,	,	PUNCT
ejpam-3834	170	5	s−	s−	PROPN
ejpam-3834	170	6	1	1	NUM
ejpam-3834	170	7	)	)	PUNCT
ejpam-3834	170	8	+	+	CCONJ
ejpam-3834	170	9	d2	d2	PROPN
ejpam-3834	170	10	sγ	sγ	PROPN
ejpam-3834	170	11	s−1sn(id	s−1sn(id	NOUN
ejpam-3834	170	12	,	,	PUNCT
ejpam-3834	170	13	s−	s−	PROPN
ejpam-3834	170	14	1	1	NUM
ejpam-3834	170	15	)	)	PUNCT
ejpam-3834	170	16	(	(	PUNCT
ejpam-3834	170	17	|	|	ADV
ejpam-3834	170	18	log	log	VERB
ejpam-3834	170	19	n−	n−	NOUN
ejpam-3834	170	20	zn|s−1	zn|s−1	PROPN
ejpam-3834	170	21	)	)	PUNCT
ejpam-3834	171	1	+	+	NOUN
ejpam-3834	171	2	op	op	NOUN
ejpam-3834	171	3	(	(	PUNCT
ejpam-3834	171	4	d2	d2	PROPN
ejpam-3834	171	5	s	s	PART
ejpam-3834	171	6	(	(	PUNCT
ejpam-3834	171	7	log	log	NOUN
ejpam-3834	171	8	n)2(s−1	n)2(s−1	PROPN
ejpam-3834	171	9	)	)	PUNCT
ejpam-3834	171	10	)	)	PUNCT
ejpam-3834	171	11	)	)	PUNCT
ejpam-3834	171	12	.	.	PUNCT
ejpam-3834	172	1	g.s	g.s	PROPN
ejpam-3834	172	2	.	.	PROPN
ejpam-3834	172	3	lo	lo	PROPN
ejpam-3834	172	4	,	,	PUNCT
ejpam-3834	172	5	m.	m.	NOUN
ejpam-3834	172	6	ngom	ngom	PROPN
ejpam-3834	172	7	,	,	PUNCT
ejpam-3834	172	8	m.diallo	m.diallo	PROPN
ejpam-3834	172	9	/	/	SYM
ejpam-3834	172	10	eur	eur	PROPN
ejpam-3834	172	11	.	.	PUNCT
ejpam-3834	173	1	j.	j.	PROPN
ejpam-3834	173	2	pure	pure	PROPN
ejpam-3834	173	3	appl	appl	PROPN
ejpam-3834	173	4	.	.	PROPN
ejpam-3834	173	5	math	math	PROPN
ejpam-3834	173	6	,	,	PUNCT
ejpam-3834	173	7	13	13	NUM
ejpam-3834	173	8	(	(	PUNCT
ejpam-3834	173	9	4	4	NUM
ejpam-3834	173	10	)	)	PUNCT
ejpam-3834	173	11	(	(	PUNCT
ejpam-3834	173	12	2020	2020	NUM
ejpam-3834	173	13	)	)	PUNCT
ejpam-3834	173	14	,	,	PUNCT
ejpam-3834	173	15	739	739	NUM
ejpam-3834	173	16	-	-	SYM
ejpam-3834	173	17	757	757	NUM
ejpam-3834	173	18	748	748	NUM
ejpam-3834	173	19	let	let	VERB
ejpam-3834	173	20	us	we	PRON
ejpam-3834	173	21	study	study	VERB
ejpam-3834	173	22	sn(f	sn(f	PROPN
ejpam-3834	173	23	,	,	PUNCT
ejpam-3834	173	24	s	s	PROPN
ejpam-3834	173	25	)	)	PUNCT
ejpam-3834	173	26	.	.	PUNCT
ejpam-3834	174	1	as	as	ADP
ejpam-3834	174	2	a	a	DET
ejpam-3834	174	3	sequence	sequence	NOUN
ejpam-3834	174	4	of	of	ADP
ejpam-3834	174	5	partial	partial	ADJ
ejpam-3834	174	6	sums	sum	NOUN
ejpam-3834	174	7	of	of	ADP
ejpam-3834	174	8	real	real	ADJ
ejpam-3834	174	9	-	-	PUNCT
ejpam-3834	174	10	value	value	NOUN
ejpam-3834	174	11	independent	independent	ADJ
ejpam-3834	174	12	random	random	ADJ
ejpam-3834	174	13	variables	variable	NOUN
ejpam-3834	174	14	indexed	index	VERB
ejpam-3834	174	15	by	by	ADP
ejpam-3834	174	16	j	j	PROPN
ejpam-3834	174	17	∈	∈	PROPN
ejpam-3834	174	18	{	{	PUNCT
ejpam-3834	174	19	1	1	NUM
ejpam-3834	174	20	,	,	PUNCT
ejpam-3834	174	21	·	·	PUNCT
ejpam-3834	174	22	·	·	PUNCT
ejpam-3834	174	23	·	·	PUNCT
ejpam-3834	174	24	,	,	PUNCT
ejpam-3834	174	25	k(n	k(n	PROPN
ejpam-3834	174	26	)	)	PUNCT
ejpam-3834	174	27	}	}	PUNCT
ejpam-3834	174	28	with	with	ADP
ejpam-3834	174	29	first	first	ADJ
ejpam-3834	174	30	and	and	CCONJ
ejpam-3834	174	31	second	second	ADJ
ejpam-3834	174	32	moments	moment	NOUN
ejpam-3834	174	33	γ(s+	γ(s+	PROPN
ejpam-3834	174	34	1)f(j)j−s	1)f(j)j−s	PROPN
ejpam-3834	174	35	and	and	CCONJ
ejpam-3834	174	36	(	(	PUNCT
ejpam-3834	174	37	γ(2s+	γ(2s+	NOUN
ejpam-3834	174	38	1)−	1)−	NUM
ejpam-3834	174	39	γ(s+	γ(s+	PROPN
ejpam-3834	174	40	1)2)f(j)2j−2s	1)2)f(j)2j−2s	NUM
ejpam-3834	174	41	,	,	PUNCT
ejpam-3834	174	42	the	the	DET
ejpam-3834	174	43	asymptotic	asymptotic	ADJ
ejpam-3834	174	44	normality	normality	NOUN
ejpam-3834	174	45	is	be	AUX
ejpam-3834	174	46	given	give	VERB
ejpam-3834	174	47	by	by	ADP
ejpam-3834	174	48	the	the	DET
ejpam-3834	174	49	the	the	DET
ejpam-3834	174	50	theorem	theorem	NOUN
ejpam-3834	174	51	of	of	ADP
ejpam-3834	174	52	levy	levy	NOUN
ejpam-3834	174	53	-	-	PUNCT
ejpam-3834	174	54	feller	feller	NOUN
ejpam-3834	174	55	-	-	PUNCT
ejpam-3834	174	56	linderberg	linderberg	NOUN
ejpam-3834	174	57	(	(	PUNCT
ejpam-3834	174	58	see	see	INTJ
ejpam-3834	174	59	theorem	theorem	VERB
ejpam-3834	174	60	20	20	NUM
ejpam-3834	174	61	in	in	ADP
ejpam-3834	174	62	[	[	X
ejpam-3834	174	63	5	5	NUM
ejpam-3834	174	64	]	]	PUNCT
ejpam-3834	174	65	)	)	PUNCT
ejpam-3834	174	66	we	we	PRON
ejpam-3834	174	67	apply	apply	VERB
ejpam-3834	174	68	to	to	ADP
ejpam-3834	174	69	the	the	DET
ejpam-3834	174	70	centered	center	VERB
ejpam-3834	174	71	rrv	rrv	PROPN
ejpam-3834	174	72	’s	’s	PART
ejpam-3834	174	73	ξj	ξj	NOUN
ejpam-3834	174	74	=	=	SYM
ejpam-3834	174	75	f(j)j−s(esj	f(j)j−s(esj	PROPN
ejpam-3834	174	76	,	,	PUNCT
ejpam-3834	174	77	n−γ(s+1	n−γ(s+1	ADJ
ejpam-3834	174	78	)	)	PUNCT
ejpam-3834	174	79	)	)	PUNCT
ejpam-3834	174	80	,	,	PUNCT
ejpam-3834	174	81	after	after	ADP
ejpam-3834	174	82	remarking	remark	VERB
ejpam-3834	174	83	that	that	SCONJ
ejpam-3834	174	84	{	{	PUNCT
ejpam-3834	174	85	var(ξj)∑k(n	var(ξj)∑k(n	X
ejpam-3834	174	86	)	)	PUNCT
ejpam-3834	174	87	j=1	j=1	NOUN
ejpam-3834	174	88	var(ξj	var(ξj	NOUN
ejpam-3834	174	89	)	)	PUNCT
ejpam-3834	174	90	,	,	PUNCT
ejpam-3834	174	91	1	1	NUM
ejpam-3834	174	92	≤	≤	NUM
ejpam-3834	174	93	j	j	PROPN
ejpam-3834	174	94	≤	≤	X
ejpam-3834	174	95	k(n	k(n	X
ejpam-3834	174	96	)	)	PUNCT
ejpam-3834	174	97	}	}	PUNCT
ejpam-3834	174	98	=	=	PUNCT
ejpam-3834	174	99	c(s)bn(f	c(s)bn(f	X
ejpam-3834	174	100	,	,	PUNCT
ejpam-3834	174	101	s	s	NOUN
ejpam-3834	174	102	)	)	PUNCT
ejpam-3834	174	103	.	.	PUNCT
ejpam-3834	175	1	so	so	ADV
ejpam-3834	175	2	,	,	PUNCT
ejpam-3834	175	3	as	as	ADP
ejpam-3834	175	4	n→	n→	ADV
ejpam-3834	175	5	+	+	PROPN
ejpam-3834	175	6	∞,	∞,	PROPN
ejpam-3834	175	7	1	1	NUM
ejpam-3834	175	8	sn(f	sn(f	X
ejpam-3834	175	9	,	,	PUNCT
ejpam-3834	175	10	s	s	X
ejpam-3834	175	11	)	)	PUNCT
ejpam-3834	175	12	k(n)∑	k(n)∑	PROPN
ejpam-3834	176	1	j=1	j=1	PROPN
ejpam-3834	176	2	(	(	PUNCT
ejpam-3834	176	3	f(j)j−s(esj	f(j)j−s(esj	PROPN
ejpam-3834	176	4	,	,	PUNCT
ejpam-3834	176	5	n	n	CCONJ
ejpam-3834	176	6	−	−	PROPN
ejpam-3834	176	7	γ(s+	γ(s+	PROPN
ejpam-3834	176	8	1	1	NUM
ejpam-3834	176	9	)	)	PUNCT
ejpam-3834	176	10	)	)	PUNCT
ejpam-3834	176	11	)	)	PUNCT
ejpam-3834	177	1	n	n	CCONJ
ejpam-3834	177	2	(	(	PUNCT
ejpam-3834	177	3	0	0	NUM
ejpam-3834	177	4	,	,	PUNCT
ejpam-3834	177	5	1	1	NUM
ejpam-3834	177	6	)	)	PUNCT
ejpam-3834	177	7			PROPN
ejpam-3834	177	8	and	and	CCONJ
ejpam-3834	177	9	bn(f	bn(f	ADV
ejpam-3834	177	10	,	,	PUNCT
ejpam-3834	177	11	s)→	s)→	NOUN
ejpam-3834	177	12	0	0	PUNCT
ejpam-3834	177	13	and	and	CCONJ
ejpam-3834	177	14	the	the	DET
ejpam-3834	177	15	lynderberg	lynderberg	PROPN
ejpam-3834	177	16	condition	condition	NOUN
ejpam-3834	177	17	holds	hold	VERB
ejpam-3834	177	18	,	,	PUNCT
ejpam-3834	177	19	that	that	ADV
ejpam-3834	177	20	is	is	ADV
ejpam-3834	177	21	,	,	PUNCT
ejpam-3834	177	22	for	for	ADP
ejpam-3834	177	23	any	any	DET
ejpam-3834	177	24	ε	ε	PROPN
ejpam-3834	177	25	>	>	X
ejpam-3834	177	26	0	0	PROPN
ejpam-3834	177	27	,	,	PUNCT
ejpam-3834	177	28	g(n	g(n	PROPN
ejpam-3834	177	29	,	,	PUNCT
ejpam-3834	177	30	ε	ε	PROPN
ejpam-3834	177	31	)	)	PUNCT
ejpam-3834	177	32	=	=	SYM
ejpam-3834	178	1	1	1	NUM
ejpam-3834	178	2	sn(f	sn(f	NUM
ejpam-3834	178	3	,	,	PUNCT
ejpam-3834	178	4	s	s	X
ejpam-3834	178	5	)	)	PUNCT
ejpam-3834	178	6	k(n)∑	k(n)∑	PROPN
ejpam-3834	178	7	j=1	j=1	PROPN
ejpam-3834	178	8	∫	∫	PROPN
ejpam-3834	178	9	(	(	PUNCT
ejpam-3834	178	10	|ξj	|ξj	PROPN
ejpam-3834	178	11	|>εsn(f	|>εsn(f	NOUN
ejpam-3834	178	12	,	,	PUNCT
ejpam-3834	178	13	s	s	NOUN
ejpam-3834	178	14	)	)	PUNCT
ejpam-3834	178	15	)	)	PUNCT
ejpam-3834	179	1	ξ2j	ξ2j	PRON
ejpam-3834	179	2	dp→	dp→	ADP
ejpam-3834	179	3	0	0	NUM
ejpam-3834	179	4	.	.	PUNCT
ejpam-3834	180	1	but	but	CCONJ
ejpam-3834	180	2	,	,	PUNCT
ejpam-3834	180	3	for	for	ADP
ejpam-3834	180	4	k2(s	k2(s	PROPN
ejpam-3834	180	5	)	)	PUNCT
ejpam-3834	180	6	=	=	NOUN
ejpam-3834	181	1	γ(4s+	γ(4s+	PROPN
ejpam-3834	181	2	1)−	1)−	NUM
ejpam-3834	181	3	4γ(3s+	4γ(3s+	NUM
ejpam-3834	181	4	1)γ(s+	1)γ(s+	NUM
ejpam-3834	181	5	1	1	NUM
ejpam-3834	181	6	)	)	PUNCT
ejpam-3834	182	1	+	+	NUM
ejpam-3834	182	2	γ(2s+	γ(2s+	NOUN
ejpam-3834	182	3	1)γ(s+	1)γ(s+	PROPN
ejpam-3834	182	4	1)2−	1)2−	NUM
ejpam-3834	182	5	3γ(3s+	3γ(3s+	NUM
ejpam-3834	182	6	1)4	1)4	NUM
ejpam-3834	182	7	,	,	PUNCT
ejpam-3834	182	8	eξ4	eξ4	VERB
ejpam-3834	182	9	=	=	SYM
ejpam-3834	182	10	k(s)f(s)4j−4s	k(s)f(s)4j−4s	PROPN
ejpam-3834	182	11	and	and	CCONJ
ejpam-3834	182	12	,	,	PUNCT
ejpam-3834	182	13	by	by	ADP
ejpam-3834	182	14	the	the	DET
ejpam-3834	182	15	cauchy	cauchy	PROPN
ejpam-3834	182	16	-	-	PUNCT
ejpam-3834	182	17	schwarz	schwarz	PROPN
ejpam-3834	182	18	inequality	inequality	PROPN
ejpam-3834	182	19	∫	∫	PROPN
ejpam-3834	182	20	(	(	PUNCT
ejpam-3834	182	21	|ξj	|ξj	PROPN
ejpam-3834	182	22	|>εsn(f	|>εsn(f	NOUN
ejpam-3834	182	23	,	,	PUNCT
ejpam-3834	182	24	s	s	NOUN
ejpam-3834	182	25	)	)	PUNCT
ejpam-3834	182	26	)	)	PUNCT
ejpam-3834	183	1	ξ2j	ξ2j	PROPN
ejpam-3834	183	2	dp	dp	VERB
ejpam-3834	183	3	≤	≤	NOUN
ejpam-3834	183	4	(	(	PUNCT
ejpam-3834	183	5	∫	∫	PROPN
ejpam-3834	183	6	ξ4j	ξ4j	PROPN
ejpam-3834	183	7	dp	dp	NOUN
ejpam-3834	183	8	)	)	PUNCT
ejpam-3834	183	9	1/2(∫	1/2(∫	NUM
ejpam-3834	183	10	1(|ξj	1(|ξj	NUM
ejpam-3834	183	11	|>εsn(f	|>εsn(f	NOUN
ejpam-3834	183	12	,	,	PUNCT
ejpam-3834	183	13	s	s	NOUN
ejpam-3834	183	14	)	)	PUNCT
ejpam-3834	183	15	)	)	PUNCT
ejpam-3834	183	16	dp	dp	NOUN
ejpam-3834	183	17	)	)	PUNCT
ejpam-3834	183	18	1/2	1/2	NUM
ejpam-3834	183	19	=	=	SYM
ejpam-3834	183	20	kf(j)2j2s	kf(j)2j2s	X
ejpam-3834	183	21	(	(	PUNCT
ejpam-3834	183	22	∫	∫	PROPN
ejpam-3834	183	23	1(|ξj	1(|ξj	NUM
ejpam-3834	183	24	|>εsn(f	|>εsn(f	X
ejpam-3834	183	25	,	,	PUNCT
ejpam-3834	183	26	s	s	NOUN
ejpam-3834	183	27	)	)	PUNCT
ejpam-3834	183	28	)	)	PUNCT
ejpam-3834	183	29	dp	dp	NOUN
ejpam-3834	183	30	)	)	PUNCT
ejpam-3834	183	31	1/2	1/2	NUM
ejpam-3834	183	32	=	=	NOUN
ejpam-3834	183	33	kf(j)2j2sp	kf(j)2j2sp	PROPN
ejpam-3834	183	34	(	(	PUNCT
ejpam-3834	183	35	|ξj	|ξj	NOUN
ejpam-3834	183	36	|	|	ADV
ejpam-3834	183	37	>	>	X
ejpam-3834	183	38	εsn(f	εsn(f	PROPN
ejpam-3834	183	39	,	,	PUNCT
ejpam-3834	183	40	s)))1/2	s)))1/2	ADJ
ejpam-3834	183	41	≤	≤	NUM
ejpam-3834	183	42	kf(j)2j2s	kf(j)2j2s	NOUN
ejpam-3834	183	43	(	(	PUNCT
ejpam-3834	183	44	k(s)2f(j)4j−4s	k(s)2f(j)4j−4s	PROPN
ejpam-3834	183	45	ε4s4n(f	ε4s4n(f	PROPN
ejpam-3834	183	46	,	,	PUNCT
ejpam-3834	183	47	s	s	NOUN
ejpam-3834	183	48	)	)	PUNCT
ejpam-3834	183	49	)	)	PUNCT
ejpam-3834	183	50	1/2	1/2	NUM
ejpam-3834	184	1	=	=	PUNCT
ejpam-3834	184	2	k(s)2	k(s)2	NOUN
ejpam-3834	184	3	(	(	PUNCT
ejpam-3834	184	4	f(j)2j2s	f(j)2j2s	NOUN
ejpam-3834	184	5	)	)	PUNCT
ejpam-3834	184	6	2	2	NUM
ejpam-3834	184	7	(	(	PUNCT
ejpam-3834	184	8	s−2n	s−2n	PROPN
ejpam-3834	184	9	(	(	PUNCT
ejpam-3834	184	10	f	f	X
ejpam-3834	184	11	,	,	PUNCT
ejpam-3834	184	12	s)2	s)2	PROPN
ejpam-3834	184	13	g.s	g.s	PROPN
ejpam-3834	184	14	.	.	PROPN
ejpam-3834	184	15	lo	lo	PROPN
ejpam-3834	184	16	,	,	PUNCT
ejpam-3834	184	17	m.	m.	NOUN
ejpam-3834	184	18	ngom	ngom	PROPN
ejpam-3834	184	19	,	,	PUNCT
ejpam-3834	184	20	m.diallo	m.diallo	PROPN
ejpam-3834	184	21	/	/	SYM
ejpam-3834	184	22	eur	eur	PROPN
ejpam-3834	184	23	.	.	PUNCT
ejpam-3834	185	1	j.	j.	PROPN
ejpam-3834	185	2	pure	pure	PROPN
ejpam-3834	185	3	appl	appl	PROPN
ejpam-3834	185	4	.	.	PROPN
ejpam-3834	185	5	math	math	PROPN
ejpam-3834	185	6	,	,	PUNCT
ejpam-3834	185	7	13	13	NUM
ejpam-3834	185	8	(	(	PUNCT
ejpam-3834	185	9	4	4	NUM
ejpam-3834	185	10	)	)	PUNCT
ejpam-3834	185	11	(	(	PUNCT
ejpam-3834	185	12	2020	2020	NUM
ejpam-3834	185	13	)	)	PUNCT
ejpam-3834	185	14	,	,	PUNCT
ejpam-3834	185	15	739	739	NUM
ejpam-3834	185	16	-	-	SYM
ejpam-3834	185	17	757	757	NUM
ejpam-3834	185	18	749	749	NUM
ejpam-3834	185	19	=	=	SYM
ejpam-3834	185	20	c(s	c(s	X
ejpam-3834	185	21	)	)	PUNCT
ejpam-3834	185	22	k(s	k(s	PROPN
ejpam-3834	185	23	)	)	PUNCT
ejpam-3834	185	24	bn(f	bn(f	PUNCT
ejpam-3834	185	25	,	,	PUNCT
ejpam-3834	185	26	s	s	X
ejpam-3834	185	27	)	)	PUNCT
ejpam-3834	185	28	var(ξj	var(ξj	NOUN
ejpam-3834	185	29	)	)	PUNCT
ejpam-3834	185	30	s2	s2	NOUN
ejpam-3834	185	31	(	(	PUNCT
ejpam-3834	185	32	f	f	X
ejpam-3834	185	33	,	,	PUNCT
ejpam-3834	185	34	s	s	PART
ejpam-3834	185	35	)	)	PUNCT
ejpam-3834	186	1	so	so	ADV
ejpam-3834	186	2	g(n	g(n	PROPN
ejpam-3834	186	3	,	,	PUNCT
ejpam-3834	186	4	ε	ε	PROPN
ejpam-3834	186	5	)	)	PUNCT
ejpam-3834	186	6	=	=	SYM
ejpam-3834	186	7	(	(	PUNCT
ejpam-3834	186	8	k(s	k(s	PROPN
ejpam-3834	186	9	)	)	PUNCT
ejpam-3834	186	10	c(s	c(	NOUN
ejpam-3834	186	11	)	)	PUNCT
ejpam-3834	186	12	)	)	PUNCT
ejpam-3834	186	13	2	2	NUM
ejpam-3834	186	14	bn(f	bn(f	ADV
ejpam-3834	186	15	,	,	PUNCT
ejpam-3834	186	16	s)→	s)→	NOUN
ejpam-3834	186	17	0	0	NUM
ejpam-3834	186	18	.	.	PUNCT
ejpam-3834	187	1	our	our	PRON
ejpam-3834	187	2	hypothesis	hypothesis	NOUN
ejpam-3834	187	3	bn(f	bn(f	PROPN
ejpam-3834	187	4	,	,	PUNCT
ejpam-3834	187	5	s	s	X
ejpam-3834	187	6	)	)	PUNCT
ejpam-3834	187	7	→	→	SYM
ejpam-3834	187	8	0	0	NUM
ejpam-3834	187	9	makes	make	VERB
ejpam-3834	187	10	the	the	DET
ejpam-3834	187	11	lynderberg	lynderberg	PROPN
ejpam-3834	187	12	hold	hold	NOUN
ejpam-3834	187	13	and	and	CCONJ
ejpam-3834	187	14	the	the	DET
ejpam-3834	187	15	central	central	ADJ
ejpam-3834	187	16	limit	limit	NOUN
ejpam-3834	187	17	theorem	theorem	NOUN
ejpam-3834	187	18	holds	hold	NOUN
ejpam-3834	187	19	for	for	ADP
ejpam-3834	187	20	sn(f	sn(f	PROPN
ejpam-3834	187	21	,	,	PUNCT
ejpam-3834	187	22	s	s	PART
ejpam-3834	187	23	)	)	PUNCT
ejpam-3834	187	24	,	,	PUNCT
ejpam-3834	187	25	that	that	PRON
ejpam-3834	187	26	is	be	AUX
ejpam-3834	187	27	sn(f	sn(f	ADJ
ejpam-3834	187	28	,	,	PUNCT
ejpam-3834	187	29	s)−	s)−	PROPN
ejpam-3834	187	30	γsan(f	γsan(f	PROPN
ejpam-3834	187	31	,	,	PUNCT
ejpam-3834	187	32	s	s	PROPN
ejpam-3834	187	33	)	)	PUNCT
ejpam-3834	187	34	sn(f	sn(f	PROPN
ejpam-3834	187	35	,	,	PUNCT
ejpam-3834	187	36	s	s	NOUN
ejpam-3834	187	37	)	)	PUNCT
ejpam-3834	187	38	n	n	CCONJ
ejpam-3834	187	39	(	(	PUNCT
ejpam-3834	187	40	0	0	NUM
ejpam-3834	187	41	,	,	PUNCT
ejpam-3834	187	42	1	1	NUM
ejpam-3834	187	43	)	)	PUNCT
ejpam-3834	187	44	.	.	PUNCT
ejpam-3834	188	1	now	now	ADV
ejpam-3834	188	2	,	,	PUNCT
ejpam-3834	188	3	let	let	VERB
ejpam-3834	188	4	us	we	PRON
ejpam-3834	188	5	return	return	VERB
ejpam-3834	188	6	to	to	ADP
ejpam-3834	188	7	the	the	DET
ejpam-3834	188	8	approximation	approximation	NOUN
ejpam-3834	188	9	(	(	PUNCT
ejpam-3834	188	10	b	b	NOUN
ejpam-3834	188	11	)	)	PUNCT
ejpam-3834	188	12	at	at	ADP
ejpam-3834	188	13	page	page	NOUN
ejpam-3834	188	14	747	747	NUM
ejpam-3834	188	15	.	.	PUNCT
ejpam-3834	189	1	we	we	PRON
ejpam-3834	189	2	have	have	VERB
ejpam-3834	189	3	that	that	PRON
ejpam-3834	189	4	for	for	ADP
ejpam-3834	189	5	s	s	NOUN
ejpam-3834	189	6	=	=	SYM
ejpam-3834	189	7	1	1	NUM
ejpam-3834	189	8	,	,	PUNCT
ejpam-3834	189	9	the	the	DET
ejpam-3834	189	10	expression	expression	NOUN
ejpam-3834	189	11	denoted	denote	VERB
ejpam-3834	189	12	as	as	ADP
ejpam-3834	189	13	cn	cn	PROPN
ejpam-3834	189	14	between	between	ADP
ejpam-3834	189	15	the	the	DET
ejpam-3834	189	16	pair	pair	NOUN
ejpam-3834	189	17	of	of	ADP
ejpam-3834	189	18	big	big	ADJ
ejpam-3834	189	19	parentheses	parenthesis	NOUN
ejpam-3834	189	20	should	should	AUX
ejpam-3834	189	21	be	be	AUX
ejpam-3834	189	22	equal	equal	ADJ
ejpam-3834	189	23	to	to	ADP
ejpam-3834	189	24	one	one	NUM
ejpam-3834	189	25	as	as	SCONJ
ejpam-3834	189	26	explained	explain	VERB
ejpam-3834	189	27	before	before	ADV
ejpam-3834	189	28	.	.	PUNCT
ejpam-3834	190	1	if	if	SCONJ
ejpam-3834	190	2	s	s	X
ejpam-3834	190	3	>	>	X
ejpam-3834	190	4	1	1	NUM
ejpam-3834	190	5	,	,	PUNCT
ejpam-3834	190	6	we	we	PRON
ejpam-3834	190	7	have	have	VERB
ejpam-3834	190	8	σ2(s	σ2(s	NOUN
ejpam-3834	190	9	)	)	PUNCT
ejpam-3834	190	10	=	=	PUNCT
ejpam-3834	191	1	∑	∑	X
ejpam-3834	191	2	j≥1	j≥1	PROPN
ejpam-3834	191	3	j	j	PROPN
ejpam-3834	191	4	−2(s−1	−2(s−1	PROPN
ejpam-3834	191	5	)	)	PUNCT
ejpam-3834	191	6	<	<	X
ejpam-3834	192	1	+	+	PROPN
ejpam-3834	192	2	∞	∞	PROPN
ejpam-3834	192	3	,	,	PUNCT
ejpam-3834	192	4	we	we	PRON
ejpam-3834	192	5	apply	apply	VERB
ejpam-3834	192	6	a	a	DET
ejpam-3834	192	7	theorem	theorem	NOUN
ejpam-3834	192	8	of	of	ADP
ejpam-3834	192	9	kolmogorov	kolmogorov	X
ejpam-3834	192	10	(	(	PUNCT
ejpam-3834	192	11	see	see	VERB
ejpam-3834	192	12	[	[	X
ejpam-3834	192	13	5	5	NUM
ejpam-3834	192	14	]	]	PUNCT
ejpam-3834	192	15	,	,	PUNCT
ejpam-3834	192	16	proposition	proposition	NOUN
ejpam-3834	192	17	25	25	NUM
ejpam-3834	192	18	,	,	PUNCT
ejpam-3834	192	19	page	page	NOUN
ejpam-3834	192	20	233	233	NUM
ejpam-3834	192	21	)	)	PUNCT
ejpam-3834	192	22	,	,	PUNCT
ejpam-3834	192	23	sn(id	sn(id	PROPN
ejpam-3834	192	24	,	,	PUNCT
ejpam-3834	192	25	s	s	VERB
ejpam-3834	192	26	−	−	NOUN
ejpam-3834	192	27	1	1	NUM
ejpam-3834	192	28	)	)	PUNCT
ejpam-3834	192	29	weakly	weakly	ADJ
ejpam-3834	192	30	converges	converge	VERB
ejpam-3834	192	31	to	to	ADP
ejpam-3834	192	32	the	the	DET
ejpam-3834	192	33	random	random	ADJ
ejpam-3834	192	34	variable	variable	NOUN
ejpam-3834	192	35	w	w	PROPN
ejpam-3834	192	36	(	(	PUNCT
ejpam-3834	192	37	s	s	NOUN
ejpam-3834	192	38	)	)	PUNCT
ejpam-3834	192	39	with	with	ADP
ejpam-3834	192	40	variance	variance	NOUN
ejpam-3834	192	41	σ2(s	σ2(s	PROPN
ejpam-3834	192	42	)	)	PUNCT
ejpam-3834	192	43	.	.	PUNCT
ejpam-3834	193	1	hence	hence	ADV
ejpam-3834	193	2	cn	cn	PROPN
ejpam-3834	193	3	=	=	PUNCT
ejpam-3834	193	4	op(1	op(1	PROPN
ejpam-3834	193	5	)	)	PUNCT
ejpam-3834	193	6	.	.	PUNCT
ejpam-3834	194	1	we	we	PRON
ejpam-3834	194	2	arrive	arrive	VERB
ejpam-3834	194	3	at∣∣∣∣tn(f	at∣∣∣∣tn(f	ADP
ejpam-3834	194	4	,	,	PUNCT
ejpam-3834	194	5	s)−	s)−	PROPN
ejpam-3834	194	6	an(f	an(f	ADJ
ejpam-3834	194	7	,	,	PUNCT
ejpam-3834	194	8	s	s	X
ejpam-3834	194	9	)	)	PUNCT
ejpam-3834	194	10	sn(f	sn(f	PROPN
ejpam-3834	194	11	,	,	PUNCT
ejpam-3834	194	12	s	s	NOUN
ejpam-3834	194	13	)	)	PUNCT
ejpam-3834	194	14	−	−	PROPN
ejpam-3834	195	1	γs(sn(f	γs(sn(f	ADP
ejpam-3834	195	2	,	,	PUNCT
ejpam-3834	195	3	s)−	s)−	PROPN
ejpam-3834	195	4	an(f	an(f	ADJ
ejpam-3834	195	5	,	,	PUNCT
ejpam-3834	195	6	s	s	NOUN
ejpam-3834	195	7	)	)	PUNCT
ejpam-3834	195	8	)	)	PUNCT
ejpam-3834	195	9	sn(f	sn(f	PROPN
ejpam-3834	195	10	,	,	PUNCT
ejpam-3834	195	11	s	s	X
ejpam-3834	195	12	)	)	PUNCT
ejpam-3834	195	13	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3834	195	14	≤	≤	NOUN
ejpam-3834	195	15	op	op	NOUN
ejpam-3834	195	16	(	(	PUNCT
ejpam-3834	195	17	sn(f	sn(f	PROPN
ejpam-3834	195	18	,	,	PUNCT
ejpam-3834	195	19	1	1	NUM
ejpam-3834	195	20	)	)	PUNCT
ejpam-3834	195	21	sn(f	sn(f	PROPN
ejpam-3834	195	22	,	,	PUNCT
ejpam-3834	195	23	s	s	X
ejpam-3834	195	24	)	)	PUNCT
ejpam-3834	195	25	log	log	NOUN
ejpam-3834	195	26	n	n	NOUN
ejpam-3834	195	27	)	)	PUNCT
ejpam-3834	195	28	.	.	PUNCT
ejpam-3834	196	1	(	(	PUNCT
ejpam-3834	196	2	15	15	X
ejpam-3834	196	3	)	)	PUNCT
ejpam-3834	196	4	the	the	DET
ejpam-3834	196	5	later	later	ADV
ejpam-3834	196	6	bound	bind	VERB
ejpam-3834	196	7	goes	go	VERB
ejpam-3834	196	8	to	to	ADP
ejpam-3834	196	9	zero	zero	NUM
ejpam-3834	196	10	in	in	ADP
ejpam-3834	196	11	probability	probability	NOUN
ejpam-3834	196	12	if	if	SCONJ
ejpam-3834	196	13	and	and	CCONJ
ejpam-3834	196	14	only	only	ADV
ejpam-3834	196	15	if	if	SCONJ
ejpam-3834	196	16	sn(f	sn(f	ADP
ejpam-3834	196	17	,	,	PUNCT
ejpam-3834	196	18	1)/(sn(f	1)/(sn(f	NUM
ejpam-3834	196	19	,	,	PUNCT
ejpam-3834	196	20	s	s	PART
ejpam-3834	196	21	)	)	PUNCT
ejpam-3834	196	22	log	log	NOUN
ejpam-3834	196	23	n	n	CCONJ
ejpam-3834	196	24	)	)	PUNCT
ejpam-3834	196	25	→	→	SYM
ejpam-3834	196	26	0	0	X
ejpam-3834	196	27	.	.	PUNCT
ejpam-3834	197	1	now	now	ADV
ejpam-3834	197	2	,	,	PUNCT
ejpam-3834	197	3	we	we	PRON
ejpam-3834	197	4	have	have	VERB
ejpam-3834	197	5	an(f	an(f	ADV
ejpam-3834	197	6	,	,	PUNCT
ejpam-3834	197	7	s	s	X
ejpam-3834	197	8	)	)	PUNCT
ejpam-3834	197	9	sn(f	sn(f	PROPN
ejpam-3834	197	10	,	,	PUNCT
ejpam-3834	197	11	s	s	AUX
ejpam-3834	197	12	)	)	PUNCT
ejpam-3834	197	13	(	(	PUNCT
ejpam-3834	197	14	tn(f	tn(f	X
ejpam-3834	197	15	,	,	PUNCT
ejpam-3834	197	16	s	s	X
ejpam-3834	197	17	)	)	PUNCT
ejpam-3834	197	18	an(f	an(f	ADV
ejpam-3834	197	19	,	,	PUNCT
ejpam-3834	197	20	s	s	X
ejpam-3834	197	21	)	)	PUNCT
ejpam-3834	197	22	−	−	VERB
ejpam-3834	197	23	γs	γs	NOUN
ejpam-3834	197	24	)	)	PUNCT
ejpam-3834	197	25	=	=	SYM
ejpam-3834	197	26	zn	zn	PROPN
ejpam-3834	197	27	+	+	NUM
ejpam-3834	197	28	op(1	op(1	NOUN
ejpam-3834	197	29	)	)	PUNCT
ejpam-3834	197	30	.	.	PUNCT
ejpam-3834	198	1	if	if	SCONJ
ejpam-3834	198	2	an(f	an(f	ADV
ejpam-3834	198	3	,	,	PUNCT
ejpam-3834	198	4	s)/sn(f	s)/sn(f	ADV
ejpam-3834	198	5	,	,	PUNCT
ejpam-3834	198	6	s)→	s)→	NOUN
ejpam-3834	198	7	+	+	NOUN
ejpam-3834	198	8	∞	∞	PROPN
ejpam-3834	198	9	,	,	PUNCT
ejpam-3834	198	10	we	we	PRON
ejpam-3834	198	11	can	can	AUX
ejpam-3834	198	12	use	use	VERB
ejpam-3834	198	13	the	the	DET
ejpam-3834	198	14	δ	δ	NOUN
ejpam-3834	198	15	-	-	PUNCT
ejpam-3834	198	16	method	method	NOUN
ejpam-3834	198	17	applied	apply	VERB
ejpam-3834	198	18	to	to	ADP
ejpam-3834	198	19	g(t	g(t	PROPN
ejpam-3834	198	20	)	)	PUNCT
ejpam-3834	199	1	=	=	PUNCT
ejpam-3834	199	2	t1	t1	NUM
ejpam-3834	199	3	/	/	SYM
ejpam-3834	199	4	s	s	VERB
ejpam-3834	199	5	to	to	PART
ejpam-3834	199	6	get	get	VERB
ejpam-3834	199	7	an(f	an(f	ADJ
ejpam-3834	199	8	,	,	PUNCT
ejpam-3834	199	9	s	s	X
ejpam-3834	199	10	)	)	PUNCT
ejpam-3834	199	11	sn(f	sn(f	PROPN
ejpam-3834	199	12	,	,	PUNCT
ejpam-3834	199	13	s	s	AUX
ejpam-3834	199	14	)	)	PUNCT
ejpam-3834	199	15	(	(	PUNCT
ejpam-3834	199	16	(	(	PUNCT
ejpam-3834	199	17	tn(f	tn(f	X
ejpam-3834	199	18	,	,	PUNCT
ejpam-3834	199	19	s	s	X
ejpam-3834	199	20	)	)	PUNCT
ejpam-3834	199	21	an(f	an(f	ADV
ejpam-3834	199	22	,	,	PUNCT
ejpam-3834	199	23	s	s	X
ejpam-3834	199	24	)	)	PUNCT
ejpam-3834	199	25	)	)	PUNCT
ejpam-3834	199	26	1	1	X
ejpam-3834	199	27	/	/	SYM
ejpam-3834	199	28	s	s	PART
ejpam-3834	199	29	−	−	PROPN
ejpam-3834	199	30	γ	γ	NOUN
ejpam-3834	199	31	)	)	PUNCT
ejpam-3834	199	32	n	n	CCONJ
ejpam-3834	199	33	(	(	PUNCT
ejpam-3834	199	34	0	0	NUM
ejpam-3834	199	35	,	,	PUNCT
ejpam-3834	199	36	s−2γ2).	s−2γ2).	PROPN
ejpam-3834	199	37	�	�	PROPN
ejpam-3834	199	38	.	.	PROPN
ejpam-3834	199	39	remark	remark	PROPN
ejpam-3834	199	40	.	.	PUNCT
ejpam-3834	200	1	in	in	ADP
ejpam-3834	200	2	[	[	X
ejpam-3834	200	3	12	12	NUM
ejpam-3834	200	4	]	]	PUNCT
ejpam-3834	200	5	,	,	PUNCT
ejpam-3834	200	6	we	we	PRON
ejpam-3834	200	7	gave	give	VERB
ejpam-3834	200	8	a	a	DET
ejpam-3834	200	9	direct	direct	ADJ
ejpam-3834	200	10	proof	proof	NOUN
ejpam-3834	200	11	of	of	ADP
ejpam-3834	200	12	the	the	DET
ejpam-3834	200	13	asymptotic	asymptotic	ADJ
ejpam-3834	200	14	normality	normality	NOUN
ejpam-3834	200	15	of	of	ADP
ejpam-3834	200	16	sn(f	sn(f	PROPN
ejpam-3834	200	17	,	,	PUNCT
ejpam-3834	200	18	s	s	AUX
ejpam-3834	200	19	)	)	PUNCT
ejpam-3834	200	20	by	by	ADP
ejpam-3834	200	21	using	use	VERB
ejpam-3834	200	22	the	the	DET
ejpam-3834	200	23	two	two	NUM
ejpam-3834	200	24	hypotheses	hypothesis	NOUN
ejpam-3834	200	25	bn(f	bn(f	PUNCT
ejpam-3834	200	26	,	,	PUNCT
ejpam-3834	200	27	s	s	X
ejpam-3834	200	28	)	)	PUNCT
ejpam-3834	200	29	→	→	SYM
ejpam-3834	200	30	0	0	NUM
ejpam-3834	200	31	and	and	CCONJ
ejpam-3834	200	32	sn(f	sn(f	NUM
ejpam-3834	200	33	,	,	PUNCT
ejpam-3834	200	34	s	s	X
ejpam-3834	200	35	)	)	PUNCT
ejpam-3834	200	36	→	→	PUNCT
ejpam-3834	201	1	+	+	PROPN
ejpam-3834	201	2	∞.	∞.	PROPN
ejpam-3834	201	3	here	here	ADV
ejpam-3834	201	4	,	,	PUNCT
ejpam-3834	201	5	it	it	PRON
ejpam-3834	201	6	seems	seem	VERB
ejpam-3834	201	7	that	that	SCONJ
ejpam-3834	201	8	we	we	PRON
ejpam-3834	201	9	only	only	ADV
ejpam-3834	201	10	used	use	VERB
ejpam-3834	201	11	the	the	DET
ejpam-3834	201	12	first	first	ADJ
ejpam-3834	201	13	one	one	NUM
ejpam-3834	201	14	.	.	PUNCT
ejpam-3834	202	1	but	but	CCONJ
ejpam-3834	202	2	that	that	DET
ejpam-3834	202	3	one	one	PRON
ejpam-3834	202	4	could	could	AUX
ejpam-3834	202	5	not	not	PART
ejpam-3834	202	6	hold	hold	VERB
ejpam-3834	202	7	if	if	SCONJ
ejpam-3834	202	8	sn(f	sn(f	ADP
ejpam-3834	202	9	,	,	PUNCT
ejpam-3834	202	10	s	s	PART
ejpam-3834	202	11	)	)	PUNCT
ejpam-3834	202	12	contains	contain	VERB
ejpam-3834	202	13	a	a	DET
ejpam-3834	202	14	sub	sub	ADJ
ejpam-3834	202	15	-	-	ADJ
ejpam-3834	202	16	sequence	sequence	NOUN
ejpam-3834	202	17	converging	converge	VERB
ejpam-3834	202	18	to	to	ADP
ejpam-3834	202	19	a	a	DET
ejpam-3834	202	20	finite	finite	ADJ
ejpam-3834	202	21	and	and	CCONJ
ejpam-3834	202	22	positive	positive	ADJ
ejpam-3834	202	23	number	number	NOUN
ejpam-3834	202	24	.	.	PUNCT
ejpam-3834	203	1	that	that	DET
ejpam-3834	203	2	remark	remark	NOUN
ejpam-3834	203	3	should	should	AUX
ejpam-3834	203	4	be	be	AUX
ejpam-3834	203	5	recalled	recall	VERB
ejpam-3834	203	6	in	in	ADP
ejpam-3834	203	7	interpreting	interpret	VERB
ejpam-3834	203	8	the	the	DET
ejpam-3834	203	9	results	result	NOUN
ejpam-3834	203	10	in	in	ADP
ejpam-3834	203	11	[	[	X
ejpam-3834	203	12	12	12	NUM
ejpam-3834	203	13	]	]	PUNCT
ejpam-3834	203	14	.	.	PUNCT
ejpam-3834	204	1	g.s	g.s	PROPN
ejpam-3834	204	2	.	.	PROPN
ejpam-3834	204	3	lo	lo	PROPN
ejpam-3834	204	4	,	,	PUNCT
ejpam-3834	204	5	m.	m.	NOUN
ejpam-3834	204	6	ngom	ngom	PROPN
ejpam-3834	204	7	,	,	PUNCT
ejpam-3834	204	8	m.diallo	m.diallo	PROPN
ejpam-3834	204	9	/	/	SYM
ejpam-3834	204	10	eur	eur	PROPN
ejpam-3834	204	11	.	.	PUNCT
ejpam-3834	205	1	j.	j.	PROPN
ejpam-3834	205	2	pure	pure	PROPN
ejpam-3834	205	3	appl	appl	PROPN
ejpam-3834	205	4	.	.	PROPN
ejpam-3834	205	5	math	math	PROPN
ejpam-3834	205	6	,	,	PUNCT
ejpam-3834	205	7	13	13	NUM
ejpam-3834	205	8	(	(	PUNCT
ejpam-3834	205	9	4	4	NUM
ejpam-3834	205	10	)	)	PUNCT
ejpam-3834	205	11	(	(	PUNCT
ejpam-3834	205	12	2020	2020	NUM
ejpam-3834	205	13	)	)	PUNCT
ejpam-3834	205	14	,	,	PUNCT
ejpam-3834	205	15	739	739	NUM
ejpam-3834	205	16	-	-	SYM
ejpam-3834	205	17	757	757	NUM
ejpam-3834	205	18	750	750	NUM
ejpam-3834	205	19	3	3	NUM
ejpam-3834	205	20	.	.	PUNCT
ejpam-3834	205	21	upper	upper	ADJ
ejpam-3834	205	22	records	record	NOUN
ejpam-3834	205	23	values	value	VERB
ejpam-3834	205	24	the	the	DET
ejpam-3834	205	25	main	main	ADJ
ejpam-3834	205	26	result	result	NOUN
ejpam-3834	205	27	is	be	AUX
ejpam-3834	205	28	:	:	PUNCT
ejpam-3834	205	29	theorem	theorem	ADJ
ejpam-3834	205	30	3	3	X
ejpam-3834	205	31	.	.	PUNCT
ejpam-3834	206	1	if	if	SCONJ
ejpam-3834	206	2	,	,	PUNCT
ejpam-3834	206	3	for	for	ADP
ejpam-3834	206	4	each	each	DET
ejpam-3834	206	5	n	n	PRON
ejpam-3834	206	6	≥	≥	NOUN
ejpam-3834	206	7	1	1	NUM
ejpam-3834	206	8	,	,	PUNCT
ejpam-3834	206	9	x(n	x(n	NOUN
ejpam-3834	206	10	)	)	PUNCT
ejpam-3834	206	11	stands	stand	VERB
ejpam-3834	206	12	for	for	ADP
ejpam-3834	206	13	n	n	ADV
ejpam-3834	206	14	-	-	PUNCT
ejpam-3834	206	15	th	th	X
ejpam-3834	206	16	record	record	NOUN
ejpam-3834	206	17	value	value	NOUN
ejpam-3834	206	18	,	,	PUNCT
ejpam-3834	206	19	we	we	PRON
ejpam-3834	206	20	have	have	VERB
ejpam-3834	206	21	as	as	ADP
ejpam-3834	206	22	n→	n→	ADV
ejpam-3834	206	23	+	+	PROPN
ejpam-3834	206	24	∞	∞	PROPN
ejpam-3834	206	25	,	,	PUNCT
ejpam-3834	206	26	x(n	x(n	NOUN
ejpam-3834	206	27	)	)	PUNCT
ejpam-3834	206	28	−	−	NOUN
ejpam-3834	206	29	γn	γn	ADP
ejpam-3834	206	30	γ	γ	PROPN
ejpam-3834	206	31	√	√	VERB
ejpam-3834	206	32	n	n	CCONJ
ejpam-3834	206	33	n	n	CCONJ
ejpam-3834	206	34	(	(	PUNCT
ejpam-3834	206	35	0	0	NUM
ejpam-3834	206	36	,	,	PUNCT
ejpam-3834	206	37	1	1	NUM
ejpam-3834	206	38	)	)	PUNCT
ejpam-3834	206	39	.	.	PUNCT
ejpam-3834	207	1	remark	remark	PROPN
ejpam-3834	207	2	.	.	PUNCT
ejpam-3834	208	1	we	we	PRON
ejpam-3834	208	2	refer	refer	VERB
ejpam-3834	208	3	the	the	DET
ejpam-3834	208	4	reader	reader	NOUN
ejpam-3834	208	5	to	to	ADP
ejpam-3834	208	6	[	[	X
ejpam-3834	208	7	8	8	NUM
ejpam-3834	208	8	]	]	PUNCT
ejpam-3834	208	9	for	for	ADP
ejpam-3834	208	10	a	a	DET
ejpam-3834	208	11	simple	simple	ADJ
ejpam-3834	208	12	introduction	introduction	NOUN
ejpam-3834	208	13	to	to	ADP
ejpam-3834	208	14	records	record	NOUN
ejpam-3834	208	15	theory	theory	NOUN
ejpam-3834	208	16	.	.	PUNCT
ejpam-3834	209	1	proof	proof	NOUN
ejpam-3834	209	2	.	.	PUNCT
ejpam-3834	210	1	we	we	PRON
ejpam-3834	210	2	already	already	ADV
ejpam-3834	210	3	noticed	notice	VERB
ejpam-3834	210	4	that	that	SCONJ
ejpam-3834	210	5	z	z	NOUN
ejpam-3834	210	6	=	=	SYM
ejpam-3834	210	7	exp(x	exp(x	PROPN
ejpam-3834	210	8	)	)	PUNCT
ejpam-3834	210	9	is	be	AUX
ejpam-3834	210	10	the	the	DET
ejpam-3834	210	11	extremal	extremal	ADJ
ejpam-3834	210	12	domain	domain	NOUN
ejpam-3834	210	13	of	of	ADP
ejpam-3834	210	14	attraction	attraction	NOUN
ejpam-3834	210	15	of	of	ADP
ejpam-3834	210	16	gγ(x	gγ(x	NOUN
ejpam-3834	210	17	)	)	PUNCT
ejpam-3834	211	1	=	=	SYM
ejpam-3834	211	2	exp(−(1	exp(−(1	NOUN
ejpam-3834	212	1	+	+	NOUN
ejpam-3834	212	2	γx	γx	NOUN
ejpam-3834	212	3	)	)	PUNCT
ejpam-3834	212	4	)	)	PUNCT
ejpam-3834	212	5	,	,	PUNCT
ejpam-3834	212	6	for	for	ADP
ejpam-3834	212	7	γx	γx	NOUN
ejpam-3834	212	8	>	>	X
ejpam-3834	212	9	−1	−1	NOUN
ejpam-3834	212	10	.	.	PUNCT
ejpam-3834	213	1	from	from	ADP
ejpam-3834	213	2	part	part	NOUN
ejpam-3834	213	3	(	(	PUNCT
ejpam-3834	213	4	b	b	NOUN
ejpam-3834	213	5	)	)	PUNCT
ejpam-3834	213	6	of	of	ADP
ejpam-3834	213	7	theorem	theorem	NOUN
ejpam-3834	213	8	1	1	NUM
ejpam-3834	213	9	in	in	ADP
ejpam-3834	213	10	[	[	X
ejpam-3834	213	11	8	8	NUM
ejpam-3834	213	12	]	]	PUNCT
ejpam-3834	213	13	,	,	PUNCT
ejpam-3834	213	14	the	the	DET
ejpam-3834	213	15	n	n	CCONJ
ejpam-3834	213	16	-	-	PUNCT
ejpam-3834	213	17	th	th	X
ejpam-3834	213	18	record	record	NOUN
ejpam-3834	213	19	z(n	z(n	NOUN
ejpam-3834	213	20	)	)	PUNCT
ejpam-3834	213	21	=	=	SYM
ejpam-3834	213	22	exp(x(n	exp(x(n	NOUN
ejpam-3834	213	23	)	)	PUNCT
ejpam-3834	213	24	)	)	PUNCT
ejpam-3834	213	25	have	have	VERB
ejpam-3834	213	26	the	the	DET
ejpam-3834	213	27	representation	representation	NOUN
ejpam-3834	213	28	(	(	PUNCT
ejpam-3834	213	29	exp(x(n	exp(x(n	NOUN
ejpam-3834	213	30	)	)	PUNCT
ejpam-3834	213	31	)	)	PUNCT
ejpam-3834	214	1	h−1(1−	h−1(1−	PROPN
ejpam-3834	214	2	e−n	e−n	PROPN
ejpam-3834	214	3	)	)	PUNCT
ejpam-3834	214	4	1/	1/	NUM
ejpam-3834	214	5	√	√	PROPN
ejpam-3834	214	6	n	n	PROPN
ejpam-3834	214	7	=	=	SYM
ejpam-3834	214	8	exp(γs∗n	exp(γs∗n	PROPN
ejpam-3834	214	9	)	)	PUNCT
ejpam-3834	214	10	+	+	NUM
ejpam-3834	214	11	op(1	op(1	NOUN
ejpam-3834	214	12	)	)	PUNCT
ejpam-3834	214	13	(	(	PUNCT
ejpam-3834	214	14	16	16	NUM
ejpam-3834	214	15	)	)	PUNCT
ejpam-3834	214	16	where	where	SCONJ
ejpam-3834	214	17	s∗n	s∗n	PROPN
ejpam-3834	214	18	has	have	VERB
ejpam-3834	214	19	the	the	DET
ejpam-3834	214	20	same	same	ADJ
ejpam-3834	214	21	law	law	NOUN
ejpam-3834	214	22	as	as	ADP
ejpam-3834	214	23	γ−1(tn−n)/	γ−1(tn−n)/	VERB
ejpam-3834	214	24	√	√	PROPN
ejpam-3834	214	25	n	n	NOUN
ejpam-3834	214	26	with	with	ADP
ejpam-3834	214	27	tn	tn	NOUN
ejpam-3834	214	28	denoting	denote	VERB
ejpam-3834	214	29	a	a	DET
ejpam-3834	214	30	γ	γ	PROPN
ejpam-3834	214	31	law	law	NOUN
ejpam-3834	214	32	with	with	ADP
ejpam-3834	214	33	parameters	parameter	NOUN
ejpam-3834	214	34	n	n	CCONJ
ejpam-3834	214	35	and	and	CCONJ
ejpam-3834	214	36	1	1	NUM
ejpam-3834	214	37	.	.	PUNCT
ejpam-3834	215	1	since	since	SCONJ
ejpam-3834	215	2	h−1(1−	h−1(1−	PROPN
ejpam-3834	215	3	u	u	NOUN
ejpam-3834	215	4	)	)	PUNCT
ejpam-3834	215	5	=	=	PUNCT
ejpam-3834	215	6	exp(f−1(1−	exp(f−1(1−	VERB
ejpam-3834	215	7	u	u	NOUN
ejpam-3834	215	8	)	)	PUNCT
ejpam-3834	215	9	)	)	PUNCT
ejpam-3834	215	10	,	,	PUNCT
ejpam-3834	215	11	we	we	PRON
ejpam-3834	215	12	have	have	VERB
ejpam-3834	215	13	x(n	x(n	NOUN
ejpam-3834	215	14	)	)	PUNCT
ejpam-3834	216	1	−	−	PROPN
ejpam-3834	216	2	f−1	f−1	PROPN
ejpam-3834	216	3	(	(	PUNCT
ejpam-3834	216	4	1−	1−	NUM
ejpam-3834	216	5	e−n	e−n	PROPN
ejpam-3834	216	6	)	)	PUNCT
ejpam-3834	216	7	γ	γ	PROPN
ejpam-3834	216	8	√	√	PROPN
ejpam-3834	216	9	n	n	NOUN
ejpam-3834	216	10	=	=	SYM
ejpam-3834	216	11	s∗n	s∗n	PROPN
ejpam-3834	216	12	+	+	CCONJ
ejpam-3834	216	13	op(1	op(1	NUM
ejpam-3834	216	14	)	)	PUNCT
ejpam-3834	216	15	(	(	PUNCT
ejpam-3834	216	16	17	17	NUM
ejpam-3834	216	17	)	)	PUNCT
ejpam-3834	216	18	by	by	ADP
ejpam-3834	216	19	the	the	DET
ejpam-3834	216	20	central	central	ADJ
ejpam-3834	216	21	limit	limit	NOUN
ejpam-3834	216	22	theorem	theorem	VERB
ejpam-3834	216	23	,	,	PUNCT
ejpam-3834	216	24	it	it	PRON
ejpam-3834	216	25	comes	come	VERB
ejpam-3834	216	26	that	that	SCONJ
ejpam-3834	216	27	x(n	x(n	NOUN
ejpam-3834	216	28	)	)	PUNCT
ejpam-3834	216	29	−	−	PROPN
ejpam-3834	216	30	f−1	f−1	PROPN
ejpam-3834	216	31	(	(	PUNCT
ejpam-3834	216	32	1−	1−	NUM
ejpam-3834	216	33	e−n	e−n	PROPN
ejpam-3834	216	34	)	)	PUNCT
ejpam-3834	216	35	γ	γ	PROPN
ejpam-3834	216	36	√	√	PROPN
ejpam-3834	216	37	n	n	NOUN
ejpam-3834	216	38	=	=	SYM
ejpam-3834	216	39	n	n	PROPN
ejpam-3834	216	40	(	(	PUNCT
ejpam-3834	216	41	0	0	NUM
ejpam-3834	216	42	,	,	PUNCT
ejpam-3834	216	43	1	1	NUM
ejpam-3834	216	44	)	)	PUNCT
ejpam-3834	216	45	+	+	NUM
ejpam-3834	216	46	op(1	op(1	NOUN
ejpam-3834	216	47	)	)	PUNCT
ejpam-3834	216	48	.	.	PUNCT
ejpam-3834	217	1	(	(	PUNCT
ejpam-3834	217	2	18	18	NUM
ejpam-3834	217	3	)	)	PUNCT
ejpam-3834	217	4	by	by	ADP
ejpam-3834	217	5	using	use	VERB
ejpam-3834	217	6	formula	formula	NOUN
ejpam-3834	217	7	(	(	PUNCT
ejpam-3834	217	8	7	7	NUM
ejpam-3834	217	9	)	)	PUNCT
ejpam-3834	217	10	,	,	PUNCT
ejpam-3834	217	11	we	we	PRON
ejpam-3834	217	12	get	get	VERB
ejpam-3834	217	13	x(n	x(n	NOUN
ejpam-3834	217	14	)	)	PUNCT
ejpam-3834	218	1	−	−	NOUN
ejpam-3834	218	2	γn	γn	ADP
ejpam-3834	218	3	γ	γ	PROPN
ejpam-3834	218	4	√	√	PROPN
ejpam-3834	218	5	n	n	NOUN
ejpam-3834	218	6	=	=	SYM
ejpam-3834	218	7	s∗n	s∗n	PROPN
ejpam-3834	218	8	+	+	CCONJ
ejpam-3834	218	9	op(1	op(1	NUM
ejpam-3834	218	10	)	)	PUNCT
ejpam-3834	218	11	(	(	PUNCT
ejpam-3834	218	12	19	19	NUM
ejpam-3834	218	13	)	)	PUNCT
ejpam-3834	218	14	x(n	x(n	NOUN
ejpam-3834	218	15	)	)	PUNCT
ejpam-3834	218	16	−	−	NOUN
ejpam-3834	218	17	γn	γn	ADP
ejpam-3834	218	18	γ	γ	PROPN
ejpam-3834	218	19	√	√	PROPN
ejpam-3834	218	20	n	n	NOUN
ejpam-3834	218	21	=	=	SYM
ejpam-3834	218	22	n	n	PROPN
ejpam-3834	218	23	(	(	PUNCT
ejpam-3834	218	24	0	0	NUM
ejpam-3834	218	25	,	,	PUNCT
ejpam-3834	218	26	1	1	NUM
ejpam-3834	218	27	)	)	PUNCT
ejpam-3834	218	28	+	+	NUM
ejpam-3834	218	29	op(1	op(1	NOUN
ejpam-3834	218	30	)	)	PUNCT
ejpam-3834	218	31	.	.	PUNCT
ejpam-3834	219	1	(	(	PUNCT
ejpam-3834	219	2	20	20	NUM
ejpam-3834	219	3	)	)	PUNCT
ejpam-3834	219	4	the	the	DET
ejpam-3834	219	5	proof	proof	NOUN
ejpam-3834	219	6	is	be	AUX
ejpam-3834	219	7	over	over	ADV
ejpam-3834	219	8	.	.	PUNCT
ejpam-3834	220	1	�	�	PROPN
ejpam-3834	220	2	g.s	g.s	PROPN
ejpam-3834	220	3	.	.	PROPN
ejpam-3834	220	4	lo	lo	PROPN
ejpam-3834	220	5	,	,	PUNCT
ejpam-3834	220	6	m.	m.	NOUN
ejpam-3834	220	7	ngom	ngom	PROPN
ejpam-3834	220	8	,	,	PUNCT
ejpam-3834	220	9	m.diallo	m.diallo	PROPN
ejpam-3834	220	10	/	/	SYM
ejpam-3834	220	11	eur	eur	PROPN
ejpam-3834	220	12	.	.	PUNCT
ejpam-3834	221	1	j.	j.	PROPN
ejpam-3834	221	2	pure	pure	PROPN
ejpam-3834	221	3	appl	appl	PROPN
ejpam-3834	221	4	.	.	PROPN
ejpam-3834	221	5	math	math	PROPN
ejpam-3834	221	6	,	,	PUNCT
ejpam-3834	221	7	13	13	NUM
ejpam-3834	221	8	(	(	PUNCT
ejpam-3834	221	9	4	4	NUM
ejpam-3834	221	10	)	)	PUNCT
ejpam-3834	221	11	(	(	PUNCT
ejpam-3834	221	12	2020	2020	NUM
ejpam-3834	221	13	)	)	PUNCT
ejpam-3834	221	14	,	,	PUNCT
ejpam-3834	221	15	739	739	NUM
ejpam-3834	221	16	-	-	SYM
ejpam-3834	221	17	757	757	NUM
ejpam-3834	221	18	751	751	NUM
ejpam-3834	221	19	4	4	NUM
ejpam-3834	221	20	.	.	PUNCT
ejpam-3834	222	1	the	the	DET
ejpam-3834	222	2	moment	moment	NOUN
ejpam-3834	222	3	problem	problem	NOUN
ejpam-3834	222	4	typically	typically	ADV
ejpam-3834	222	5	,	,	PUNCT
ejpam-3834	222	6	the	the	DET
ejpam-3834	222	7	moment	moment	NOUN
ejpam-3834	222	8	problem	problem	NOUN
ejpam-3834	222	9	on	on	ADP
ejpam-3834	222	10	r(see	r(see	PROPN
ejpam-3834	222	11	[	[	X
ejpam-3834	222	12	13	13	NUM
ejpam-3834	222	13	]	]	PUNCT
ejpam-3834	222	14	and	and	CCONJ
ejpam-3834	222	15	more	more	ADV
ejpam-3834	222	16	recently	recently	ADV
ejpam-3834	222	17	in	in	ADP
ejpam-3834	222	18	[	[	X
ejpam-3834	222	19	10	10	NUM
ejpam-3834	222	20	]	]	PUNCT
ejpam-3834	222	21	)	)	PUNCT
ejpam-3834	222	22	is	be	AUX
ejpam-3834	222	23	the	the	DET
ejpam-3834	222	24	following	following	NOUN
ejpam-3834	222	25	.	.	PUNCT
ejpam-3834	223	1	given	give	VERB
ejpam-3834	223	2	a	a	DET
ejpam-3834	223	3	sequences	sequence	NOUN
ejpam-3834	223	4	real	real	ADJ
ejpam-3834	223	5	numbers	number	NOUN
ejpam-3834	223	6	(	(	PUNCT
ejpam-3834	223	7	mn)n≥1	mn)n≥1	NOUN
ejpam-3834	223	8	,	,	PUNCT
ejpam-3834	223	9	can	can	AUX
ejpam-3834	223	10	we	we	PRON
ejpam-3834	223	11	find	find	VERB
ejpam-3834	223	12	a	a	DET
ejpam-3834	223	13	distribution	distribution	NOUN
ejpam-3834	223	14	(	(	PUNCT
ejpam-3834	223	15	not	not	PART
ejpam-3834	223	16	necessarily	necessarily	ADV
ejpam-3834	223	17	a	a	DET
ejpam-3834	223	18	cdf	cdf	NOUN
ejpam-3834	223	19	)	)	PUNCT
ejpam-3834	223	20	f	f	PROPN
ejpam-3834	223	21	on	on	ADP
ejpam-3834	223	22	r	r	NOUN
ejpam-3834	223	23	as	as	ADP
ejpam-3834	223	24	the	the	DET
ejpam-3834	223	25	unique	unique	ADJ
ejpam-3834	223	26	solution	solution	NOUN
ejpam-3834	223	27	of	of	ADP
ejpam-3834	223	28	the	the	DET
ejpam-3834	223	29	moments	moment	NOUN
ejpam-3834	223	30	equations	equation	NOUN
ejpam-3834	223	31	.	.	PUNCT
ejpam-3834	224	1	∀n	∀n	NUM
ejpam-3834	224	2	≥	≥	NOUN
ejpam-3834	224	3	1	1	NUM
ejpam-3834	224	4	,	,	PUNCT
ejpam-3834	224	5	mn	mn	PROPN
ejpam-3834	224	6	=	=	SYM
ejpam-3834	224	7	∫	∫	PROPN
ejpam-3834	224	8	xn	xn	PROPN
ejpam-3834	224	9	df	df	PROPN
ejpam-3834	224	10	(	(	PUNCT
ejpam-3834	224	11	x	x	NOUN
ejpam-3834	224	12	)	)	PUNCT
ejpam-3834	224	13	.	.	PUNCT
ejpam-3834	225	1	this	this	PRON
ejpam-3834	225	2	is	be	AUX
ejpam-3834	225	3	a	a	DET
ejpam-3834	225	4	nice	nice	ADJ
ejpam-3834	225	5	but	but	CCONJ
ejpam-3834	225	6	a	a	DET
ejpam-3834	225	7	difficult	difficult	ADJ
ejpam-3834	225	8	mathematical	mathematical	ADJ
ejpam-3834	225	9	question	question	NOUN
ejpam-3834	225	10	treated	treat	VERB
ejpam-3834	225	11	in	in	ADP
ejpam-3834	225	12	[	[	X
ejpam-3834	225	13	13	13	NUM
ejpam-3834	225	14	]	]	PUNCT
ejpam-3834	225	15	and	and	CCONJ
ejpam-3834	225	16	more	more	ADV
ejpam-3834	225	17	recently	recently	ADV
ejpam-3834	225	18	[	[	X
ejpam-3834	225	19	10	10	NUM
ejpam-3834	225	20	]	]	PUNCT
ejpam-3834	225	21	.	.	PUNCT
ejpam-3834	226	1	but	but	CCONJ
ejpam-3834	226	2	in	in	ADP
ejpam-3834	226	3	the	the	DET
ejpam-3834	226	4	context	context	NOUN
ejpam-3834	226	5	of	of	ADP
ejpam-3834	226	6	probability	probability	NOUN
ejpam-3834	226	7	theory	theory	NOUN
ejpam-3834	226	8	on	on	ADP
ejpam-3834	226	9	r	r	NOUN
ejpam-3834	226	10	,	,	PUNCT
ejpam-3834	226	11	we	we	PRON
ejpam-3834	226	12	may	may	AUX
ejpam-3834	226	13	have	have	VERB
ejpam-3834	226	14	a	a	DET
ejpam-3834	226	15	fixed	fix	VERB
ejpam-3834	226	16	cdf	cdf	NOUN
ejpam-3834	226	17	f	f	NOUN
ejpam-3834	226	18	of	of	ADP
ejpam-3834	226	19	random	random	ADJ
ejpam-3834	226	20	variable	variable	NOUN
ejpam-3834	226	21	x	x	PUNCT
ejpam-3834	226	22	having	have	VERB
ejpam-3834	226	23	moments	moment	NOUN
ejpam-3834	226	24	∀n	∀n	NUM
ejpam-3834	226	25	≥	≥	NOUN
ejpam-3834	226	26	1	1	NUM
ejpam-3834	226	27	,	,	PUNCT
ejpam-3834	226	28	exn	exn	PROPN
ejpam-3834	226	29	=	=	PROPN
ejpam-3834	226	30	mn	mn	PROPN
ejpam-3834	226	31	finite	finite	PROPN
ejpam-3834	226	32	.	.	PUNCT
ejpam-3834	227	1	the	the	DET
ejpam-3834	227	2	moment	moment	NOUN
ejpam-3834	227	3	problem	problem	NOUN
ejpam-3834	227	4	becomes	become	VERB
ejpam-3834	227	5	:	:	PUNCT
ejpam-3834	227	6	is	be	AUX
ejpam-3834	227	7	the	the	DET
ejpam-3834	227	8	sequence	sequence	NOUN
ejpam-3834	227	9	of	of	ADP
ejpam-3834	227	10	moments	moment	NOUN
ejpam-3834	227	11	(	(	PUNCT
ejpam-3834	227	12	mn)n≥1	mn)n≥1	NOUN
ejpam-3834	227	13	characterize	characterize	VERB
ejpam-3834	227	14	the	the	DET
ejpam-3834	227	15	probability	probability	NOUN
ejpam-3834	227	16	law	law	NOUN
ejpam-3834	227	17	of	of	ADP
ejpam-3834	227	18	x.	x.	NOUN
ejpam-3834	227	19	in	in	ADP
ejpam-3834	227	20	that	that	DET
ejpam-3834	227	21	regard	regard	NOUN
ejpam-3834	227	22	,	,	PUNCT
ejpam-3834	227	23	we	we	PRON
ejpam-3834	227	24	have	have	AUX
ejpam-3834	227	25	theorem	theorem	VERB
ejpam-3834	227	26	4	4	NUM
ejpam-3834	227	27	.	.	PUNCT
ejpam-3834	228	1	the	the	DET
ejpam-3834	228	2	moments	moment	NOUN
ejpam-3834	228	3	of	of	ADP
ejpam-3834	228	4	the	the	DET
ejpam-3834	228	5	pseudo	pseudo	NOUN
ejpam-3834	228	6	-	-	ADJ
ejpam-3834	228	7	lindely	lindely	ADV
ejpam-3834	228	8	probability	probability	NOUN
ejpam-3834	228	9	law	law	NOUN
ejpam-3834	228	10	are	be	AUX
ejpam-3834	228	11	the	the	DET
ejpam-3834	228	12	following	follow	VERB
ejpam-3834	228	13	∀n	∀n	NUM
ejpam-3834	228	14	≥	≥	NUM
ejpam-3834	228	15	1	1	NUM
ejpam-3834	228	16	,	,	PUNCT
ejpam-3834	228	17	mn	mn	NOUN
ejpam-3834	228	18	=	=	PUNCT
ejpam-3834	228	19	n!(β	n!(β	X
ejpam-3834	228	20	+	+	NOUN
ejpam-3834	228	21	n	n	CCONJ
ejpam-3834	228	22	)	)	PUNCT
ejpam-3834	228	23	θnβ	θnβ	NOUN
ejpam-3834	228	24	.	.	PUNCT
ejpam-3834	229	1	any	any	DET
ejpam-3834	229	2	real	real	ADV
ejpam-3834	229	3	-	-	PUNCT
ejpam-3834	229	4	valued	value	VERB
ejpam-3834	229	5	random	random	ADJ
ejpam-3834	229	6	variable	variable	NOUN
ejpam-3834	229	7	have	have	VERB
ejpam-3834	229	8	the	the	DET
ejpam-3834	229	9	moments	moment	NOUN
ejpam-3834	229	10	(	(	PUNCT
ejpam-3834	229	11	mn)n≥1	mn)n≥1	NOUN
ejpam-3834	229	12	follows	follow	VERB
ejpam-3834	229	13	the	the	DET
ejpam-3834	229	14	pseudo	pseudo	NOUN
ejpam-3834	229	15	-	-	ADJ
ejpam-3834	229	16	limdley	limdley	ADJ
ejpam-3834	229	17	law	law	NOUN
ejpam-3834	229	18	.	.	PUNCT
ejpam-3834	230	1	proof	proof	NOUN
ejpam-3834	230	2	.	.	PUNCT
ejpam-3834	231	1	at	at	ADP
ejpam-3834	231	2	the	the	DET
ejpam-3834	231	3	place	place	NOUN
ejpam-3834	231	4	of	of	ADP
ejpam-3834	231	5	a	a	DET
ejpam-3834	231	6	simple	simple	ADJ
ejpam-3834	231	7	proof	proof	NOUN
ejpam-3834	231	8	,	,	PUNCT
ejpam-3834	231	9	we	we	PRON
ejpam-3834	231	10	proceed	proceed	VERB
ejpam-3834	231	11	to	to	PART
ejpam-3834	231	12	slight	slight	ADJ
ejpam-3834	231	13	round	round	NOUN
ejpam-3834	231	14	-	-	PUNCT
ejpam-3834	231	15	up	up	NOUN
ejpam-3834	231	16	of	of	ADP
ejpam-3834	231	17	the	the	DET
ejpam-3834	231	18	moment	moment	NOUN
ejpam-3834	231	19	problem	problem	NOUN
ejpam-3834	231	20	and	and	CCONJ
ejpam-3834	231	21	explain	explain	VERB
ejpam-3834	231	22	how	how	SCONJ
ejpam-3834	231	23	to	to	PART
ejpam-3834	231	24	find	find	VERB
ejpam-3834	231	25	a	a	DET
ejpam-3834	231	26	simple	simple	ADJ
ejpam-3834	231	27	criteria	criterion	NOUN
ejpam-3834	231	28	based	base	VERB
ejpam-3834	231	29	on	on	ADP
ejpam-3834	231	30	analysis	analysis	NOUN
ejpam-3834	231	31	.	.	PUNCT
ejpam-3834	232	1	a	a	DET
ejpam-3834	232	2	possible	possible	ADJ
ejpam-3834	232	3	tool	tool	NOUN
ejpam-3834	232	4	is	be	AUX
ejpam-3834	232	5	the	the	DET
ejpam-3834	232	6	characteristic	characteristic	ADJ
ejpam-3834	232	7	function	function	NOUN
ejpam-3834	232	8	which	which	PRON
ejpam-3834	232	9	characterize	characterize	VERB
ejpam-3834	232	10	its	its	PRON
ejpam-3834	232	11	associated	associated	ADJ
ejpam-3834	232	12	probability	probability	NOUN
ejpam-3834	232	13	law	law	NOUN
ejpam-3834	232	14	.	.	PUNCT
ejpam-3834	233	1	we	we	PRON
ejpam-3834	233	2	have	have	VERB
ejpam-3834	233	3	the	the	DET
ejpam-3834	233	4	following	follow	VERB
ejpam-3834	233	5	expansion	expansion	NOUN
ejpam-3834	233	6	of	of	ADP
ejpam-3834	233	7	any	any	DET
ejpam-3834	233	8	characteristic	characteristic	ADJ
ejpam-3834	233	9	function	function	NOUN
ejpam-3834	233	10	of	of	ADP
ejpam-3834	233	11	x	x	PUNCT
ejpam-3834	233	12	(	(	PUNCT
ejpam-3834	233	13	see	see	VERB
ejpam-3834	233	14	[	[	X
ejpam-3834	233	15	11	11	NUM
ejpam-3834	233	16	]	]	PUNCT
ejpam-3834	233	17	or	or	CCONJ
ejpam-3834	233	18	[	[	X
ejpam-3834	233	19	5	5	NUM
ejpam-3834	233	20	]	]	PUNCT
ejpam-3834	233	21	,	,	PUNCT
ejpam-3834	233	22	lemma	lemma	PROPN
ejpam-3834	233	23	5	5	NUM
ejpam-3834	233	24	,	,	PUNCT
ejpam-3834	233	25	page	page	NOUN
ejpam-3834	233	26	255	255	NUM
ejpam-3834	233	27	)	)	PUNCT
ejpam-3834	233	28	,	,	PUNCT
ejpam-3834	233	29	we	we	PRON
ejpam-3834	233	30	have	have	VERB
ejpam-3834	233	31	eeiux	eeiux	NOUN
ejpam-3834	233	32	=	=	SYM
ejpam-3834	233	33	1	1	NUM
ejpam-3834	234	1	+	+	NUM
ejpam-3834	234	2	n∑	n∑	INTJ
ejpam-3834	234	3	k=1	k=1	X
ejpam-3834	234	4	(	(	PUNCT
ejpam-3834	234	5	iu)kmk	iu)kmk	NOUN
ejpam-3834	234	6	k	k	NOUN
ejpam-3834	234	7	!	!	PUNCT
ejpam-3834	235	1	+	+	CCONJ
ejpam-3834	235	2	θ21−δµn+δ	θ21−δµn+δ	PROPN
ejpam-3834	235	3	|u|n+δ	|u|n+δ	PUNCT
ejpam-3834	235	4	(	(	PUNCT
ejpam-3834	235	5	n+	n+	NOUN
ejpam-3834	235	6	1	1	NUM
ejpam-3834	235	7	)	)	PUNCT
ejpam-3834	235	8	!	!	PUNCT
ejpam-3834	235	9	.	.	PUNCT
ejpam-3834	236	1	(	(	PUNCT
ejpam-3834	236	2	21	21	NUM
ejpam-3834	236	3	)	)	PUNCT
ejpam-3834	236	4	by	by	ADP
ejpam-3834	236	5	usual	usual	ADJ
ejpam-3834	236	6	analysis	analysis	NOUN
ejpam-3834	236	7	tools	tool	NOUN
ejpam-3834	236	8	,	,	PUNCT
ejpam-3834	236	9	the	the	DET
ejpam-3834	236	10	series	series	NOUN
ejpam-3834	236	11	in	in	ADP
ejpam-3834	236	12	formula	formula	NOUN
ejpam-3834	236	13	(	(	PUNCT
ejpam-3834	236	14	21	21	NUM
ejpam-3834	236	15	)	)	PUNCT
ejpam-3834	236	16	converges	converge	NOUN
ejpam-3834	236	17	in	in	ADP
ejpam-3834	236	18	the	the	DET
ejpam-3834	236	19	]	]	X
ejpam-3834	236	20	−	−	PROPN
ejpam-3834	236	21	r	r	NOUN
ejpam-3834	236	22	,	,	PUNCT
ejpam-3834	236	23	r	r	NOUN
ejpam-3834	236	24	[	[	PUNCT
ejpam-3834	236	25	where	where	SCONJ
ejpam-3834	236	26	r	r	NOUN
ejpam-3834	236	27	is	be	AUX
ejpam-3834	236	28	found	find	VERB
ejpam-3834	236	29	according	accord	VERB
ejpam-3834	236	30	the	the	DET
ejpam-3834	236	31	cauchy	cauchy	PROPN
ejpam-3834	236	32	rule	rule	NOUN
ejpam-3834	236	33	lim	lim	PROPN
ejpam-3834	236	34	sup	sup	PROPN
ejpam-3834	236	35	n→+∞	n→+∞	PROPN
ejpam-3834	236	36	(	(	PUNCT
ejpam-3834	236	37	mn)1	mn)1	NOUN
ejpam-3834	236	38	/	/	SYM
ejpam-3834	236	39	n	n	NOUN
ejpam-3834	236	40	=	=	SYM
ejpam-3834	236	41	r	r	NOUN
ejpam-3834	236	42	>	>	X
ejpam-3834	236	43	0	0	NUM
ejpam-3834	236	44	.	.	PUNCT
ejpam-3834	237	1	the	the	DET
ejpam-3834	237	2	conclusion	conclusion	NOUN
ejpam-3834	237	3	is	be	AUX
ejpam-3834	237	4	that	that	SCONJ
ejpam-3834	237	5	two	two	NUM
ejpam-3834	237	6	random	random	ADJ
ejpam-3834	237	7	variables	variable	NOUN
ejpam-3834	237	8	have	have	VERB
ejpam-3834	237	9	the	the	DET
ejpam-3834	237	10	same	same	ADJ
ejpam-3834	237	11	moments	moment	NOUN
ejpam-3834	237	12	of	of	ADP
ejpam-3834	237	13	all	all	DET
ejpam-3834	237	14	orders	order	NOUN
ejpam-3834	237	15	have	have	VERB
ejpam-3834	237	16	characteristic	characteristic	ADJ
ejpam-3834	237	17	functions	function	NOUN
ejpam-3834	237	18	coinciding	coincide	VERB
ejpam-3834	237	19	on	on	ADP
ejpam-3834	237	20	]	]	PUNCT
ejpam-3834	237	21	−	−	PUNCT
ejpam-3834	238	1	r	r	NOUN
ejpam-3834	238	2	,	,	PUNCT
ejpam-3834	238	3	r	r	NOUN
ejpam-3834	238	4	[	[	X
ejpam-3834	238	5	.	.	PUNCT
ejpam-3834	239	1	finally	finally	ADV
ejpam-3834	239	2	,	,	PUNCT
ejpam-3834	239	3	(	(	PUNCT
ejpam-3834	239	4	see	see	VERB
ejpam-3834	239	5	[	[	X
ejpam-3834	239	6	11	11	NUM
ejpam-3834	239	7	]	]	PUNCT
ejpam-3834	239	8	,	,	PUNCT
ejpam-3834	239	9	page	page	NOUN
ejpam-3834	239	10	225	225	NUM
ejpam-3834	239	11	,	,	PUNCT
ejpam-3834	239	12	part	part	PROPN
ejpam-3834	239	13	b.	b.	PROPN
ejpam-3834	239	14	;	;	PUNCT
ejpam-3834	239	15	see	see	VERB
ejpam-3834	239	16	also	also	ADV
ejpam-3834	239	17	[	[	X
ejpam-3834	239	18	1	1	NUM
ejpam-3834	239	19	]	]	PUNCT
ejpam-3834	239	20	)	)	PUNCT
ejpam-3834	239	21	two	two	NUM
ejpam-3834	239	22	characteristic	characteristic	ADJ
ejpam-3834	239	23	functions	function	NOUN
ejpam-3834	239	24	coinciding	coincide	VERB
ejpam-3834	239	25	on	on	ADP
ejpam-3834	239	26	an	an	DET
ejpam-3834	239	27	interval	interval	NOUN
ejpam-3834	239	28	]	]	PUNCT
ejpam-3834	239	29	−r	−r	ADJ
ejpam-3834	239	30	,	,	PUNCT
ejpam-3834	239	31	r	r	X
ejpam-3834	239	32	[	[	PUNCT
ejpam-3834	239	33	coincide	coincide	NOUN
ejpam-3834	239	34	everywhere	everywhere	ADV
ejpam-3834	240	1	g.s	g.s	PROPN
ejpam-3834	240	2	.	.	PROPN
ejpam-3834	240	3	lo	lo	PROPN
ejpam-3834	240	4	,	,	PUNCT
ejpam-3834	240	5	m.	m.	NOUN
ejpam-3834	240	6	ngom	ngom	PROPN
ejpam-3834	240	7	,	,	PUNCT
ejpam-3834	240	8	m.diallo	m.diallo	PROPN
ejpam-3834	240	9	/	/	SYM
ejpam-3834	240	10	eur	eur	PROPN
ejpam-3834	240	11	.	.	PUNCT
ejpam-3834	241	1	j.	j.	PROPN
ejpam-3834	241	2	pure	pure	PROPN
ejpam-3834	241	3	appl	appl	PROPN
ejpam-3834	241	4	.	.	PROPN
ejpam-3834	241	5	math	math	PROPN
ejpam-3834	241	6	,	,	PUNCT
ejpam-3834	241	7	13	13	NUM
ejpam-3834	241	8	(	(	PUNCT
ejpam-3834	241	9	4	4	NUM
ejpam-3834	241	10	)	)	PUNCT
ejpam-3834	241	11	(	(	PUNCT
ejpam-3834	241	12	2020	2020	NUM
ejpam-3834	241	13	)	)	PUNCT
ejpam-3834	241	14	,	,	PUNCT
ejpam-3834	241	15	739	739	NUM
ejpam-3834	241	16	-	-	SYM
ejpam-3834	241	17	757	757	NUM
ejpam-3834	241	18	752	752	NUM
ejpam-3834	241	19	and	and	CCONJ
ejpam-3834	241	20	thus	thus	ADV
ejpam-3834	241	21	,	,	PUNCT
ejpam-3834	241	22	are	be	AUX
ejpam-3834	241	23	associated	associate	VERB
ejpam-3834	241	24	to	to	ADP
ejpam-3834	241	25	the	the	DET
ejpam-3834	241	26	same	same	ADJ
ejpam-3834	241	27	probability	probability	NOUN
ejpam-3834	241	28	law	law	NOUN
ejpam-3834	241	29	.	.	PUNCT
ejpam-3834	242	1	let	let	VERB
ejpam-3834	242	2	us	we	PRON
ejpam-3834	242	3	apply	apply	VERB
ejpam-3834	242	4	to	to	ADP
ejpam-3834	242	5	the	the	DET
ejpam-3834	242	6	pseudo	pseudo	NOUN
ejpam-3834	242	7	-	-	ADJ
ejpam-3834	242	8	lindley	lindley	ADJ
ejpam-3834	242	9	law	law	NOUN
ejpam-3834	242	10	.	.	PUNCT
ejpam-3834	243	1	in	in	ADP
ejpam-3834	243	2	[	[	X
ejpam-3834	243	3	15	15	NUM
ejpam-3834	243	4	]	]	PUNCT
ejpam-3834	243	5	,	,	PUNCT
ejpam-3834	243	6	the	the	DET
ejpam-3834	243	7	moments	moment	NOUN
ejpam-3834	243	8	are	be	AUX
ejpam-3834	243	9	given	give	VERB
ejpam-3834	243	10	by	by	ADP
ejpam-3834	243	11	∀n	∀n	NUM
ejpam-3834	243	12	≥	≥	NOUN
ejpam-3834	243	13	1	1	NUM
ejpam-3834	243	14	,	,	PUNCT
ejpam-3834	243	15	mn	mn	NOUN
ejpam-3834	243	16	=	=	PUNCT
ejpam-3834	243	17	n!(β	n!(β	X
ejpam-3834	243	18	+	+	NOUN
ejpam-3834	243	19	n	n	CCONJ
ejpam-3834	243	20	)	)	PUNCT
ejpam-3834	243	21	θnβ	θnβ	NOUN
ejpam-3834	243	22	.	.	PUNCT
ejpam-3834	244	1	straightforward	straightforward	ADJ
ejpam-3834	244	2	computation	computation	NOUN
ejpam-3834	244	3	based	base	VERB
ejpam-3834	244	4	on	on	ADP
ejpam-3834	244	5	the	the	DET
ejpam-3834	244	6	stirling	stirling	NOUN
ejpam-3834	244	7	formula	formula	NOUN
ejpam-3834	244	8	leads	lead	VERB
ejpam-3834	244	9	to	to	ADP
ejpam-3834	244	10	r	r	NOUN
ejpam-3834	244	11	=	=	SYM
ejpam-3834	244	12	1	1	NUM
ejpam-3834	244	13	/	/	SYM
ejpam-3834	244	14	θ	θ	NOUN
ejpam-3834	244	15	.	.	PUNCT
ejpam-3834	245	1	this	this	PRON
ejpam-3834	245	2	is	be	AUX
ejpam-3834	245	3	enough	enough	ADJ
ejpam-3834	245	4	to	to	PART
ejpam-3834	245	5	prove	prove	VERB
ejpam-3834	245	6	the	the	DET
ejpam-3834	245	7	claim	claim	NOUN
ejpam-3834	245	8	of	of	ADP
ejpam-3834	245	9	the	the	DET
ejpam-3834	245	10	theorem	theorem	NOUN
ejpam-3834	245	11	.	.	PUNCT
ejpam-3834	246	1	(	(	PUNCT
ejpam-3834	246	2	as	as	SCONJ
ejpam-3834	246	3	remarked	remark	VERB
ejpam-3834	246	4	by	by	ADP
ejpam-3834	246	5	the	the	DET
ejpam-3834	246	6	anonymous	anonymous	PROPN
ejpam-3834	246	7	referee	referee	PROPN
ejpam-3834	246	8	,	,	PUNCT
ejpam-3834	246	9	we	we	PRON
ejpam-3834	246	10	might	might	AUX
ejpam-3834	246	11	have	have	AUX
ejpam-3834	246	12	use	use	VERB
ejpam-3834	246	13	the	the	DET
ejpam-3834	246	14	carleman	carleman	ADJ
ejpam-3834	246	15	criteria	criterion	NOUN
ejpam-3834	246	16	)	)	PUNCT
ejpam-3834	246	17	.	.	PUNCT
ejpam-3834	247	1	�	�	PROPN
ejpam-3834	247	2	g.s	g.s	PROPN
ejpam-3834	247	3	.	.	PROPN
ejpam-3834	247	4	lo	lo	PROPN
ejpam-3834	247	5	,	,	PUNCT
ejpam-3834	247	6	m.	m.	NOUN
ejpam-3834	247	7	ngom	ngom	PROPN
ejpam-3834	247	8	,	,	PUNCT
ejpam-3834	247	9	m.diallo	m.diallo	PROPN
ejpam-3834	247	10	/	/	SYM
ejpam-3834	247	11	eur	eur	PROPN
ejpam-3834	247	12	.	.	PUNCT
ejpam-3834	248	1	j.	j.	PROPN
ejpam-3834	248	2	pure	pure	PROPN
ejpam-3834	248	3	appl	appl	PROPN
ejpam-3834	248	4	.	.	PROPN
ejpam-3834	248	5	math	math	PROPN
ejpam-3834	248	6	,	,	PUNCT
ejpam-3834	248	7	13	13	NUM
ejpam-3834	248	8	(	(	PUNCT
ejpam-3834	248	9	4	4	NUM
ejpam-3834	248	10	)	)	PUNCT
ejpam-3834	248	11	(	(	PUNCT
ejpam-3834	248	12	2020	2020	NUM
ejpam-3834	248	13	)	)	PUNCT
ejpam-3834	248	14	,	,	PUNCT
ejpam-3834	248	15	739	739	NUM
ejpam-3834	248	16	-	-	SYM
ejpam-3834	248	17	757	757	NUM
ejpam-3834	248	18	753	753	NUM
ejpam-3834	248	19	appendix	appendix	NOUN
ejpam-3834	248	20	.	.	PUNCT
ejpam-3834	249	1	let	let	VERB
ejpam-3834	249	2	r	r	NOUN
ejpam-3834	249	3	=	=	SYM
ejpam-3834	249	4	β	β	X
ejpam-3834	249	5	/	/	SYM
ejpam-3834	249	6	θ	θ	NOUN
ejpam-3834	249	7	.	.	PROPN
ejpam-3834	250	1	in	in	ADP
ejpam-3834	250	2	the	the	DET
ejpam-3834	250	3	computations	computation	NOUN
ejpam-3834	250	4	below	below	ADV
ejpam-3834	250	5	,	,	PUNCT
ejpam-3834	250	6	u	u	PROPN
ejpam-3834	250	7	∈	∈	PROPN
ejpam-3834	250	8	(	(	PUNCT
ejpam-3834	250	9	0	0	NUM
ejpam-3834	250	10	,	,	PUNCT
ejpam-3834	250	11	1	1	NUM
ejpam-3834	250	12	)	)	PUNCT
ejpam-3834	250	13	and	and	CCONJ
ejpam-3834	250	14	x	x	X
ejpam-3834	250	15	≥	≥	X
ejpam-3834	250	16	0	0	NUM
ejpam-3834	250	17	are	be	AUX
ejpam-3834	250	18	linked	link	VERB
ejpam-3834	250	19	by	by	ADP
ejpam-3834	250	20	u	u	NOUN
ejpam-3834	250	21	=	=	PROPN
ejpam-3834	250	22	1−	1−	NUM
ejpam-3834	250	23	f	f	X
ejpam-3834	250	24	(	(	PUNCT
ejpam-3834	250	25	x	x	NOUN
ejpam-3834	250	26	)	)	PUNCT
ejpam-3834	250	27	.	.	PUNCT
ejpam-3834	251	1	so	so	ADV
ejpam-3834	251	2	u→	u→	ADV
ejpam-3834	251	3	0	0	PUNCT
ejpam-3834	252	1	if	if	SCONJ
ejpam-3834	252	2	and	and	CCONJ
ejpam-3834	252	3	only	only	ADV
ejpam-3834	252	4	if	if	SCONJ
ejpam-3834	252	5	x→	x→	PROPN
ejpam-3834	252	6	+	+	ADV
ejpam-3834	252	7	∞.	∞.	PROPN
ejpam-3834	252	8	also	also	ADV
ejpam-3834	252	9	,	,	PUNCT
ejpam-3834	252	10	below	below	ADV
ejpam-3834	252	11	,	,	PUNCT
ejpam-3834	252	12	functions	function	NOUN
ejpam-3834	252	13	of	of	ADP
ejpam-3834	252	14	x	x	NOUN
ejpam-3834	252	15	are	be	AUX
ejpam-3834	252	16	functions	function	NOUN
ejpam-3834	252	17	of	of	ADP
ejpam-3834	252	18	u	u	PRON
ejpam-3834	252	19	actually	actually	ADV
ejpam-3834	252	20	.	.	PUNCT
ejpam-3834	253	1	we	we	PRON
ejpam-3834	253	2	denote	denote	VERB
ejpam-3834	253	3	a(u	a(u	NOUN
ejpam-3834	253	4	)	)	PUNCT
ejpam-3834	254	1	=	=	PUNCT
ejpam-3834	254	2	log(1	log(1	VERB
ejpam-3834	255	1	+	+	ADJ
ejpam-3834	255	2	r	r	NOUN
ejpam-3834	255	3	/	/	SYM
ejpam-3834	255	4	x	x	NOUN
ejpam-3834	255	5	)	)	PUNCT
ejpam-3834	255	6	.	.	PUNCT
ejpam-3834	256	1	we	we	PRON
ejpam-3834	256	2	have	have	AUX
ejpam-3834	256	3	a(u)→	a(u)→	X
ejpam-3834	256	4	0	0	PUNCT
ejpam-3834	256	5	as	as	ADP
ejpam-3834	256	6	u→	u→	PROPN
ejpam-3834	256	7	0	0	NUM
ejpam-3834	256	8	.	.	PUNCT
ejpam-3834	257	1	by	by	ADP
ejpam-3834	257	2	writing	write	VERB
ejpam-3834	257	3	log(β	log(β	PROPN
ejpam-3834	257	4	+	+	CCONJ
ejpam-3834	257	5	θx	θx	SYM
ejpam-3834	257	6	)	)	PUNCT
ejpam-3834	257	7	=	=	SYM
ejpam-3834	258	1	log(β	log(β	PROPN
ejpam-3834	258	2	+	+	CCONJ
ejpam-3834	258	3	θx)−	θx)−	NOUN
ejpam-3834	258	4	log	log	NOUN
ejpam-3834	258	5	θx+	θx+	NOUN
ejpam-3834	258	6	log	log	NOUN
ejpam-3834	258	7	θx	θx	NOUN
ejpam-3834	258	8	=	=	PUNCT
ejpam-3834	258	9	log	log	PROPN
ejpam-3834	258	10	θx+a(u	θx+a(u	PROPN
ejpam-3834	258	11	)	)	PUNCT
ejpam-3834	258	12	,	,	PUNCT
ejpam-3834	258	13	we	we	PRON
ejpam-3834	258	14	see	see	VERB
ejpam-3834	258	15	that	that	DET
ejpam-3834	258	16	u	u	NOUN
ejpam-3834	258	17	=	=	NOUN
ejpam-3834	258	18	1−	1−	NUM
ejpam-3834	258	19	f	f	X
ejpam-3834	258	20	(	(	PUNCT
ejpam-3834	258	21	x	x	X
ejpam-3834	258	22	)	)	PUNCT
ejpam-3834	258	23	gives	give	VERB
ejpam-3834	258	24	θx	θx	ADP
ejpam-3834	258	25	=	=	PUNCT
ejpam-3834	258	26	log(1	log(1	NOUN
ejpam-3834	258	27	/	/	SYM
ejpam-3834	258	28	u	u	NOUN
ejpam-3834	258	29	)	)	PUNCT
ejpam-3834	258	30	+	+	CCONJ
ejpam-3834	258	31	logr+	logr+	X
ejpam-3834	258	32	log	log	VERB
ejpam-3834	258	33	x+a(u	x+a(u	NUM
ejpam-3834	258	34	)	)	PUNCT
ejpam-3834	258	35	.	.	PUNCT
ejpam-3834	259	1	(	(	PUNCT
ejpam-3834	259	2	22	22	NUM
ejpam-3834	259	3	)	)	PUNCT
ejpam-3834	259	4	so	so	ADV
ejpam-3834	259	5	,	,	PUNCT
ejpam-3834	259	6	we	we	PRON
ejpam-3834	259	7	have	have	VERB
ejpam-3834	259	8	f−1(1−	f−1(1−	PROPN
ejpam-3834	259	9	u	u	NOUN
ejpam-3834	259	10	)	)	PUNCT
ejpam-3834	259	11	=	=	SYM
ejpam-3834	260	1	θ−1	θ−1	PROPN
ejpam-3834	260	2	log(1	log(1	NOUN
ejpam-3834	260	3	/	/	SYM
ejpam-3834	260	4	u)(1	u)(1	PUNCT
ejpam-3834	260	5	+	+	NUM
ejpam-3834	260	6	o(1	o(1	NOUN
ejpam-3834	260	7	)	)	PUNCT
ejpam-3834	260	8	)	)	PUNCT
ejpam-3834	260	9	.	.	PUNCT
ejpam-3834	261	1	(	(	PUNCT
ejpam-3834	261	2	23	23	NUM
ejpam-3834	261	3	)	)	PUNCT
ejpam-3834	261	4	and	and	CCONJ
ejpam-3834	261	5	log	log	VERB
ejpam-3834	261	6	x	x	X
ejpam-3834	261	7	=	=	PRON
ejpam-3834	261	8	log	log	NOUN
ejpam-3834	261	9	log(1	log(1	NOUN
ejpam-3834	261	10	/	/	PUNCT
ejpam-3834	261	11	u)(1	u)(1	PUNCT
ejpam-3834	262	1	+	+	NUM
ejpam-3834	262	2	o(1	o(1	NOUN
ejpam-3834	262	3	)	)	PUNCT
ejpam-3834	262	4	)	)	PUNCT
ejpam-3834	262	5	.	.	PUNCT
ejpam-3834	263	1	(	(	PUNCT
ejpam-3834	263	2	24	24	NUM
ejpam-3834	263	3	)	)	PUNCT
ejpam-3834	263	4	now	now	ADV
ejpam-3834	263	5	,	,	PUNCT
ejpam-3834	263	6	we	we	PRON
ejpam-3834	263	7	wish	wish	VERB
ejpam-3834	263	8	to	to	PART
ejpam-3834	263	9	develop	develop	VERB
ejpam-3834	263	10	that	that	DET
ejpam-3834	263	11	asymptotic	asymptotic	ADJ
ejpam-3834	263	12	equivalence	equivalence	NOUN
ejpam-3834	263	13	with	with	ADP
ejpam-3834	263	14	rates	rate	NOUN
ejpam-3834	263	15	of	of	ADP
ejpam-3834	263	16	convergence	convergence	NOUN
ejpam-3834	263	17	.	.	PUNCT
ejpam-3834	264	1	let	let	VERB
ejpam-3834	264	2	b(u	b(u	VERB
ejpam-3834	264	3	)	)	PUNCT
ejpam-3834	264	4	=	=	PUNCT
ejpam-3834	265	1	logr+	logr+	X
ejpam-3834	265	2	log	log	NOUN
ejpam-3834	265	3	x+a(u	x+a(u	NUM
ejpam-3834	265	4	)	)	PUNCT
ejpam-3834	265	5	.	.	PUNCT
ejpam-3834	266	1	from	from	ADP
ejpam-3834	266	2	formula	formula	NOUN
ejpam-3834	266	3	22	22	NUM
ejpam-3834	266	4	,	,	PUNCT
ejpam-3834	266	5	we	we	PRON
ejpam-3834	266	6	have	have	VERB
ejpam-3834	266	7	x	x	PUNCT
ejpam-3834	266	8	θ−1	θ−1	PROPN
ejpam-3834	266	9	log(1	log(1	NOUN
ejpam-3834	266	10	/	/	SYM
ejpam-3834	266	11	u	u	NOUN
ejpam-3834	266	12	)	)	PUNCT
ejpam-3834	266	13	−	−	PROPN
ejpam-3834	266	14	1	1	NUM
ejpam-3834	266	15	=	=	SYM
ejpam-3834	266	16	b(u	b(u	PROPN
ejpam-3834	266	17	)	)	PUNCT
ejpam-3834	266	18	log(1	log(1	NOUN
ejpam-3834	266	19	/	/	SYM
ejpam-3834	266	20	u	u	NOUN
ejpam-3834	266	21	)	)	PUNCT
ejpam-3834	266	22	.	.	PUNCT
ejpam-3834	267	1	(	(	PUNCT
ejpam-3834	267	2	25	25	NUM
ejpam-3834	267	3	)	)	PUNCT
ejpam-3834	267	4	by	by	ADP
ejpam-3834	267	5	formula	formula	NOUN
ejpam-3834	267	6	(	(	PUNCT
ejpam-3834	267	7	25	25	NUM
ejpam-3834	267	8	)	)	PUNCT
ejpam-3834	267	9	,	,	PUNCT
ejpam-3834	267	10	we	we	PRON
ejpam-3834	267	11	notice	notice	VERB
ejpam-3834	267	12	that	that	SCONJ
ejpam-3834	267	13	b(u	b(u	PROPN
ejpam-3834	267	14	)	)	PUNCT
ejpam-3834	268	1	=	=	SYM
ejpam-3834	268	2	logr+log	logr+log	PROPN
ejpam-3834	268	3	x+(r	x+(r	PROPN
ejpam-3834	268	4	/	/	SYM
ejpam-3834	268	5	x)−(r	x)−(r	PROPN
ejpam-3834	268	6	/	/	SYM
ejpam-3834	268	7	x)2/2+o(log(1	x)2/2+o(log(1	ADJ
ejpam-3834	268	8	/	/	SYM
ejpam-3834	268	9	u)−3	u)−3	ADJ
ejpam-3834	268	10	)	)	PUNCT
ejpam-3834	268	11	=	=	NOUN
ejpam-3834	268	12	o(log	o(log	PROPN
ejpam-3834	268	13	x	x	X
ejpam-3834	268	14	)	)	PUNCT
ejpam-3834	268	15	=	=	PUNCT
ejpam-3834	268	16	(	(	PUNCT
ejpam-3834	268	17	log	log	VERB
ejpam-3834	268	18	log	log	NOUN
ejpam-3834	268	19	u)(1+o(1	u)(1+o(1	NOUN
ejpam-3834	268	20	)	)	PUNCT
ejpam-3834	268	21	)	)	PUNCT
ejpam-3834	268	22	,	,	PUNCT
ejpam-3834	268	23	(	(	PUNCT
ejpam-3834	268	24	26	26	NUM
ejpam-3834	268	25	)	)	PUNCT
ejpam-3834	268	26	and	and	CCONJ
ejpam-3834	268	27	hence	hence	ADV
ejpam-3834	268	28	,	,	PUNCT
ejpam-3834	268	29	for	for	ADP
ejpam-3834	268	30	d(u	d(u	PROPN
ejpam-3834	268	31	)	)	PUNCT
ejpam-3834	268	32	=	=	SYM
ejpam-3834	268	33	logr+a(u	logr+a(u	NOUN
ejpam-3834	268	34	)	)	PUNCT
ejpam-3834	268	35	,	,	PUNCT
ejpam-3834	268	36	log(1	log(1	NOUN
ejpam-3834	268	37	/	/	SYM
ejpam-3834	268	38	u	u	NOUN
ejpam-3834	268	39	)	)	PUNCT
ejpam-3834	268	40	log	log	NOUN
ejpam-3834	268	41	x	x	SYM
ejpam-3834	268	42	(	(	PUNCT
ejpam-3834	268	43	x	x	X
ejpam-3834	268	44	θ−1	θ−1	PROPN
ejpam-3834	268	45	log(1	log(1	NOUN
ejpam-3834	268	46	/	/	SYM
ejpam-3834	268	47	u	u	NOUN
ejpam-3834	268	48	)	)	PUNCT
ejpam-3834	268	49	−	−	PROPN
ejpam-3834	268	50	1	1	NUM
ejpam-3834	268	51	)	)	PUNCT
ejpam-3834	268	52	=	=	SYM
ejpam-3834	268	53	1	1	NUM
ejpam-3834	268	54	+	+	NUM
ejpam-3834	268	55	d(u	d(u	PROPN
ejpam-3834	268	56	)	)	PUNCT
ejpam-3834	268	57	log	log	NOUN
ejpam-3834	268	58	x	x	X
ejpam-3834	268	59	.	.	PUNCT
ejpam-3834	269	1	(	(	PUNCT
ejpam-3834	269	2	27	27	NUM
ejpam-3834	269	3	)	)	PUNCT
ejpam-3834	269	4	also	also	ADV
ejpam-3834	269	5	d(u	d(u	PROPN
ejpam-3834	269	6	)	)	PUNCT
ejpam-3834	269	7	log	log	VERB
ejpam-3834	269	8	x	x	X
ejpam-3834	270	1	=	=	X
ejpam-3834	270	2	logr+	logr+	X
ejpam-3834	270	3	(	(	PUNCT
ejpam-3834	270	4	r	r	X
ejpam-3834	270	5	/	/	SYM
ejpam-3834	270	6	x)−	x)−	NOUN
ejpam-3834	270	7	(	(	PUNCT
ejpam-3834	270	8	r	r	NOUN
ejpam-3834	270	9	/	/	SYM
ejpam-3834	270	10	x)2/2	x)2/2	PUNCT
ejpam-3834	271	1	+	+	PUNCT
ejpam-3834	271	2	o(x−3	o(x−3	NOUN
ejpam-3834	271	3	log	log	VERB
ejpam-3834	271	4	x	x	PUNCT
ejpam-3834	271	5	next	next	ADV
ejpam-3834	271	6	,	,	PUNCT
ejpam-3834	271	7	we	we	PRON
ejpam-3834	271	8	have	have	VERB
ejpam-3834	271	9	log	log	NOUN
ejpam-3834	271	10	x	x	PUNCT
ejpam-3834	271	11	−	−	NOUN
ejpam-3834	272	1	logr	logr	NOUN
ejpam-3834	272	2	(	(	PUNCT
ejpam-3834	272	3	log(1	log(1	NOUN
ejpam-3834	272	4	/	/	SYM
ejpam-3834	272	5	u	u	NOUN
ejpam-3834	272	6	)	)	PUNCT
ejpam-3834	272	7	log	log	NOUN
ejpam-3834	272	8	x	x	SYM
ejpam-3834	272	9	(	(	PUNCT
ejpam-3834	272	10	x	x	X
ejpam-3834	272	11	θ−1	θ−1	PROPN
ejpam-3834	272	12	log(1	log(1	NOUN
ejpam-3834	272	13	/	/	SYM
ejpam-3834	272	14	u	u	NOUN
ejpam-3834	272	15	)	)	PUNCT
ejpam-3834	272	16	−	−	PROPN
ejpam-3834	272	17	1	1	NUM
ejpam-3834	272	18	)	)	PUNCT
ejpam-3834	272	19	−	−	PROPN
ejpam-3834	272	20	1	1	NUM
ejpam-3834	272	21	)	)	PUNCT
ejpam-3834	272	22	(	(	PUNCT
ejpam-3834	272	23	28	28	X
ejpam-3834	272	24	)	)	PUNCT
ejpam-3834	272	25	g.s	g.s	PROPN
ejpam-3834	272	26	.	.	PROPN
ejpam-3834	272	27	lo	lo	PROPN
ejpam-3834	272	28	,	,	PUNCT
ejpam-3834	272	29	m.	m.	NOUN
ejpam-3834	272	30	ngom	ngom	PROPN
ejpam-3834	272	31	,	,	PUNCT
ejpam-3834	272	32	m.diallo	m.diallo	PROPN
ejpam-3834	272	33	/	/	SYM
ejpam-3834	272	34	eur	eur	PROPN
ejpam-3834	272	35	.	.	PUNCT
ejpam-3834	273	1	j.	j.	PROPN
ejpam-3834	273	2	pure	pure	PROPN
ejpam-3834	273	3	appl	appl	PROPN
ejpam-3834	273	4	.	.	PROPN
ejpam-3834	273	5	math	math	PROPN
ejpam-3834	273	6	,	,	PUNCT
ejpam-3834	273	7	13	13	NUM
ejpam-3834	273	8	(	(	PUNCT
ejpam-3834	273	9	4	4	NUM
ejpam-3834	273	10	)	)	PUNCT
ejpam-3834	273	11	(	(	PUNCT
ejpam-3834	273	12	2020	2020	NUM
ejpam-3834	273	13	)	)	PUNCT
ejpam-3834	273	14	,	,	PUNCT
ejpam-3834	273	15	739	739	NUM
ejpam-3834	273	16	-	-	SYM
ejpam-3834	273	17	757	757	NUM
ejpam-3834	273	18	754	754	NUM
ejpam-3834	273	19	=	=	SYM
ejpam-3834	273	20	1	1	NUM
ejpam-3834	273	21	+	+	CCONJ
ejpam-3834	273	22	r	r	NOUN
ejpam-3834	273	23	x	x	SYM
ejpam-3834	273	24	logr	logr	NOUN
ejpam-3834	273	25	−	−	PROPN
ejpam-3834	273	26	r2	r2	NOUN
ejpam-3834	273	27	2x2	2x2	NUM
ejpam-3834	273	28	logr	logr	NOUN
ejpam-3834	273	29	+	+	NOUN
ejpam-3834	273	30	o(x−3	o(x−3	NOUN
ejpam-3834	273	31	)	)	PUNCT
ejpam-3834	273	32	and	and	CCONJ
ejpam-3834	273	33	finally	finally	ADV
ejpam-3834	273	34	x	x	PUNCT
ejpam-3834	273	35	logr	logr	PROPN
ejpam-3834	273	36	r	r	NOUN
ejpam-3834	273	37	(	(	PUNCT
ejpam-3834	273	38	log	log	NOUN
ejpam-3834	273	39	x	x	PUNCT
ejpam-3834	273	40	logr	logr	NOUN
ejpam-3834	273	41	(	(	PUNCT
ejpam-3834	273	42	log(1	log(1	NOUN
ejpam-3834	273	43	/	/	SYM
ejpam-3834	273	44	u	u	NOUN
ejpam-3834	273	45	)	)	PUNCT
ejpam-3834	273	46	log	log	NOUN
ejpam-3834	273	47	x	x	SYM
ejpam-3834	273	48	(	(	PUNCT
ejpam-3834	273	49	x	x	X
ejpam-3834	273	50	θ−1	θ−1	PROPN
ejpam-3834	273	51	log(1	log(1	NOUN
ejpam-3834	273	52	/	/	SYM
ejpam-3834	273	53	u	u	NOUN
ejpam-3834	273	54	)	)	PUNCT
ejpam-3834	273	55	−	−	PROPN
ejpam-3834	273	56	1	1	NUM
ejpam-3834	273	57	)	)	PUNCT
ejpam-3834	273	58	−	−	PROPN
ejpam-3834	273	59	1	1	NUM
ejpam-3834	273	60	)	)	PUNCT
ejpam-3834	273	61	−	−	PROPN
ejpam-3834	273	62	1	1	NUM
ejpam-3834	273	63	)	)	PUNCT
ejpam-3834	273	64	(	(	PUNCT
ejpam-3834	273	65	29	29	NUM
ejpam-3834	273	66	)	)	PUNCT
ejpam-3834	273	67	=	=	SYM
ejpam-3834	274	1	1−	1−	NUM
ejpam-3834	274	2	r	r	NOUN
ejpam-3834	274	3	2x	2x	NUM
ejpam-3834	274	4	+	+	ADJ
ejpam-3834	274	5	o(x−2	o(x−2	NOUN
ejpam-3834	274	6	)	)	PUNCT
ejpam-3834	274	7	.	.	PUNCT
ejpam-3834	275	1	now	now	ADV
ejpam-3834	275	2	we	we	PRON
ejpam-3834	275	3	want	want	VERB
ejpam-3834	275	4	to	to	PART
ejpam-3834	275	5	do	do	VERB
ejpam-3834	275	6	the	the	DET
ejpam-3834	275	7	same	same	ADJ
ejpam-3834	275	8	for	for	ADP
ejpam-3834	275	9	log	log	NOUN
ejpam-3834	275	10	x.	x.	NOUN
ejpam-3834	276	1	hence	hence	ADV
ejpam-3834	276	2	,	,	PUNCT
ejpam-3834	276	3	we	we	PRON
ejpam-3834	276	4	get	get	VERB
ejpam-3834	276	5	.	.	PUNCT
ejpam-3834	277	1	log(θx	log(θx	NOUN
ejpam-3834	277	2	)	)	PUNCT
ejpam-3834	278	1	=	=	PUNCT
ejpam-3834	278	2	log	log	VERB
ejpam-3834	278	3	log(1	log(1	NOUN
ejpam-3834	278	4	/	/	SYM
ejpam-3834	278	5	u	u	NOUN
ejpam-3834	278	6	)	)	PUNCT
ejpam-3834	278	7	+	+	CCONJ
ejpam-3834	278	8	log(1	log(1	VERB
ejpam-3834	278	9	+	+	ADJ
ejpam-3834	278	10	b(u)/	b(u)/	X
ejpam-3834	278	11	log(1	log(1	NOUN
ejpam-3834	278	12	/	/	SYM
ejpam-3834	278	13	u	u	NOUN
ejpam-3834	278	14	)	)	PUNCT
ejpam-3834	278	15	)	)	PUNCT
ejpam-3834	278	16	(	(	PUNCT
ejpam-3834	278	17	30	30	NUM
ejpam-3834	278	18	)	)	PUNCT
ejpam-3834	278	19	from	from	ADP
ejpam-3834	278	20	which	which	PRON
ejpam-3834	278	21	we	we	PRON
ejpam-3834	278	22	get	get	VERB
ejpam-3834	278	23	log	log	NOUN
ejpam-3834	278	24	x−	x−	PROPN
ejpam-3834	278	25	log	log	PROPN
ejpam-3834	278	26	log(1	log(1	NOUN
ejpam-3834	278	27	/	/	SYM
ejpam-3834	278	28	u	u	NOUN
ejpam-3834	278	29	)	)	PUNCT
ejpam-3834	278	30	=	=	SYM
ejpam-3834	279	1	−	−	PROPN
ejpam-3834	279	2	log	log	NOUN
ejpam-3834	279	3	θ	θ	PROPN
ejpam-3834	279	4	+	+	CCONJ
ejpam-3834	279	5	(	(	PUNCT
ejpam-3834	279	6	b(u)/	b(u)/	X
ejpam-3834	279	7	log(1	log(1	NOUN
ejpam-3834	279	8	/	/	SYM
ejpam-3834	279	9	u	u	NOUN
ejpam-3834	279	10	)	)	PUNCT
ejpam-3834	279	11	)	)	PUNCT
ejpam-3834	280	1	+	+	ADP
ejpam-3834	280	2	o	o	X
ejpam-3834	280	3	(	(	PUNCT
ejpam-3834	280	4	(	(	PUNCT
ejpam-3834	280	5	b(u)/	b(u)/	X
ejpam-3834	280	6	log(1	log(1	NOUN
ejpam-3834	280	7	/	/	SYM
ejpam-3834	280	8	u)2	u)2	NOUN
ejpam-3834	280	9	)	)	PUNCT
ejpam-3834	280	10	.	.	PUNCT
ejpam-3834	281	1	(	(	PUNCT
ejpam-3834	281	2	31	31	NUM
ejpam-3834	281	3	)	)	PUNCT
ejpam-3834	281	4	from	from	ADP
ejpam-3834	281	5	formula	formula	NOUN
ejpam-3834	281	6	(	(	PUNCT
ejpam-3834	281	7	27	27	NUM
ejpam-3834	281	8	)	)	PUNCT
ejpam-3834	281	9	,	,	PUNCT
ejpam-3834	281	10	we	we	PRON
ejpam-3834	281	11	have	have	VERB
ejpam-3834	281	12	log(1	log(1	NOUN
ejpam-3834	281	13	/	/	SYM
ejpam-3834	281	14	u	u	NOUN
ejpam-3834	281	15	)	)	PUNCT
ejpam-3834	281	16	log	log	NOUN
ejpam-3834	281	17	x	x	SYM
ejpam-3834	281	18	(	(	PUNCT
ejpam-3834	281	19	x	x	X
ejpam-3834	281	20	θ−1	θ−1	PROPN
ejpam-3834	281	21	log(1	log(1	NOUN
ejpam-3834	281	22	/	/	SYM
ejpam-3834	281	23	u	u	NOUN
ejpam-3834	281	24	)	)	PUNCT
ejpam-3834	281	25	−	−	PROPN
ejpam-3834	281	26	1	1	NUM
ejpam-3834	281	27	)	)	PUNCT
ejpam-3834	281	28	−	−	PROPN
ejpam-3834	281	29	log(1	log(1	NOUN
ejpam-3834	281	30	/	/	SYM
ejpam-3834	281	31	u	u	NOUN
ejpam-3834	281	32	)	)	PUNCT
ejpam-3834	281	33	log	log	VERB
ejpam-3834	281	34	log	log	NOUN
ejpam-3834	281	35	1	1	NUM
ejpam-3834	281	36	/	/	SYM
ejpam-3834	281	37	u	u	NOUN
ejpam-3834	281	38	(	(	PUNCT
ejpam-3834	281	39	x	x	X
ejpam-3834	281	40	θ−1	θ−1	PROPN
ejpam-3834	281	41	log(1	log(1	NOUN
ejpam-3834	281	42	/	/	SYM
ejpam-3834	281	43	u	u	NOUN
ejpam-3834	281	44	)	)	PUNCT
ejpam-3834	281	45	−	−	PROPN
ejpam-3834	281	46	1	1	NUM
ejpam-3834	281	47	)	)	PUNCT
ejpam-3834	281	48	=	=	SYM
ejpam-3834	282	1	(	(	PUNCT
ejpam-3834	282	2	x	x	X
ejpam-3834	282	3	θ−1	θ−1	PROPN
ejpam-3834	282	4	log(1	log(1	NOUN
ejpam-3834	282	5	/	/	SYM
ejpam-3834	282	6	u	u	NOUN
ejpam-3834	282	7	)	)	PUNCT
ejpam-3834	282	8	−	−	PROPN
ejpam-3834	282	9	1	1	NUM
ejpam-3834	282	10	)	)	PUNCT
ejpam-3834	282	11	−(log(1	−(log(1	PROPN
ejpam-3834	282	12	/	/	SYM
ejpam-3834	282	13	u))(log	u))(log	PROPN
ejpam-3834	282	14	x−	x−	PROPN
ejpam-3834	282	15	log	log	NOUN
ejpam-3834	282	16	log	log	NOUN
ejpam-3834	282	17	1	1	NUM
ejpam-3834	282	18	/	/	SYM
ejpam-3834	282	19	u	u	NOUN
ejpam-3834	282	20	)	)	PUNCT
ejpam-3834	282	21	(	(	PUNCT
ejpam-3834	282	22	log	log	VERB
ejpam-3834	282	23	x)(log	x)(log	PROPN
ejpam-3834	282	24	log	log	PROPN
ejpam-3834	282	25	1	1	NUM
ejpam-3834	282	26	/	/	SYM
ejpam-3834	282	27	u	u	NOUN
ejpam-3834	282	28	)	)	PUNCT
ejpam-3834	282	29	=	=	SYM
ejpam-3834	282	30	(	(	PUNCT
ejpam-3834	282	31	1	1	NUM
ejpam-3834	282	32	+	+	NOUN
ejpam-3834	282	33	d(u)/	d(u)/	ADJ
ejpam-3834	282	34	log	log	NOUN
ejpam-3834	282	35	x	x	NOUN
ejpam-3834	282	36	)	)	PUNCT
ejpam-3834	282	37	(	(	PUNCT
ejpam-3834	282	38	1	1	NUM
ejpam-3834	282	39	(	(	PUNCT
ejpam-3834	282	40	log	log	VERB
ejpam-3834	282	41	x)(log	x)(log	PROPN
ejpam-3834	282	42	log	log	PROPN
ejpam-3834	282	43	1	1	NUM
ejpam-3834	282	44	/	/	SYM
ejpam-3834	282	45	u	u	NOUN
ejpam-3834	282	46	)	)	PUNCT
ejpam-3834	282	47	(	(	PUNCT
ejpam-3834	282	48	−	−	PROPN
ejpam-3834	282	49	log	log	VERB
ejpam-3834	282	50	θ	θ	PROPN
ejpam-3834	282	51	+	+	CCONJ
ejpam-3834	282	52	(	(	PUNCT
ejpam-3834	282	53	b(u)/	b(u)/	X
ejpam-3834	282	54	log(1	log(1	NOUN
ejpam-3834	282	55	/	/	SYM
ejpam-3834	282	56	u	u	NOUN
ejpam-3834	282	57	)	)	PUNCT
ejpam-3834	282	58	)	)	PUNCT
ejpam-3834	283	1	+	+	VERB
ejpam-3834	283	2	o(b(u)/	o(b(u)/	ADJ
ejpam-3834	283	3	log(1	log(1	NOUN
ejpam-3834	283	4	/	/	SYM
ejpam-3834	283	5	u)2	u)2	NOUN
ejpam-3834	283	6	)	)	PUNCT
ejpam-3834	283	7	)	)	PUNCT
ejpam-3834	283	8	)	)	PUNCT
ejpam-3834	284	1	=	=	PUNCT
ejpam-3834	284	2	o((log	o((log	NOUN
ejpam-3834	284	3	log	log	VERB
ejpam-3834	284	4	1	1	NUM
ejpam-3834	284	5	/	/	SYM
ejpam-3834	284	6	u)2	u)2	ADJ
ejpam-3834	284	7	)	)	PUNCT
ejpam-3834	284	8	formula	formula	NOUN
ejpam-3834	284	9	(	(	PUNCT
ejpam-3834	284	10	27	27	NUM
ejpam-3834	284	11	)	)	PUNCT
ejpam-3834	284	12	becomes	become	VERB
ejpam-3834	284	13	log(1	log(1	NOUN
ejpam-3834	284	14	/	/	SYM
ejpam-3834	284	15	u	u	NOUN
ejpam-3834	284	16	)	)	PUNCT
ejpam-3834	284	17	log	log	VERB
ejpam-3834	284	18	log	log	NOUN
ejpam-3834	284	19	1	1	NUM
ejpam-3834	284	20	/	/	SYM
ejpam-3834	284	21	u	u	NOUN
ejpam-3834	284	22	(	(	PUNCT
ejpam-3834	284	23	x	x	X
ejpam-3834	284	24	θ−1	θ−1	PROPN
ejpam-3834	284	25	log(1	log(1	NOUN
ejpam-3834	284	26	/	/	SYM
ejpam-3834	284	27	u	u	NOUN
ejpam-3834	284	28	)	)	PUNCT
ejpam-3834	284	29	−	−	PROPN
ejpam-3834	284	30	1	1	NUM
ejpam-3834	284	31	)	)	PUNCT
ejpam-3834	284	32	=	=	SYM
ejpam-3834	285	1	1	1	NUM
ejpam-3834	285	2	+	+	NUM
ejpam-3834	285	3	d(u	d(u	PROPN
ejpam-3834	285	4	)	)	PUNCT
ejpam-3834	285	5	log	log	VERB
ejpam-3834	285	6	x	x	PUNCT
ejpam-3834	286	1	+	+	NOUN
ejpam-3834	286	2	o((log	o((log	NOUN
ejpam-3834	286	3	log	log	VERB
ejpam-3834	286	4	1	1	NUM
ejpam-3834	286	5	/	/	SYM
ejpam-3834	286	6	u)2	u)2	NOUN
ejpam-3834	286	7	)	)	PUNCT
ejpam-3834	286	8	.	.	PUNCT
ejpam-3834	287	1	(	(	PUNCT
ejpam-3834	287	2	32	32	NUM
ejpam-3834	287	3	)	)	PUNCT
ejpam-3834	287	4	that	that	DET
ejpam-3834	287	5	formula	formula	NOUN
ejpam-3834	287	6	will	will	AUX
ejpam-3834	287	7	be	be	AUX
ejpam-3834	287	8	used	use	VERB
ejpam-3834	287	9	with	with	ADP
ejpam-3834	287	10	formula	formula	NOUN
ejpam-3834	287	11	31	31	NUM
ejpam-3834	287	12	and	and	CCONJ
ejpam-3834	287	13	b(u	b(u	PROPN
ejpam-3834	287	14	)	)	PUNCT
ejpam-3834	287	15	log	log	VERB
ejpam-3834	288	1	1	1	NUM
ejpam-3834	288	2	/	/	SYM
ejpam-3834	288	3	u	u	NOUN
ejpam-3834	288	4	=	=	NOUN
ejpam-3834	288	5	logr	logr	NOUN
ejpam-3834	288	6	log	log	VERB
ejpam-3834	288	7	1	1	NUM
ejpam-3834	288	8	/	/	SYM
ejpam-3834	288	9	u	u	NOUN
ejpam-3834	288	10	+	+	CCONJ
ejpam-3834	288	11	log	log	NOUN
ejpam-3834	288	12	log	log	NOUN
ejpam-3834	288	13	1	1	NUM
ejpam-3834	288	14	/	/	SYM
ejpam-3834	288	15	u	u	NOUN
ejpam-3834	288	16	log	log	NOUN
ejpam-3834	288	17	1	1	NUM
ejpam-3834	288	18	/	/	SYM
ejpam-3834	288	19	u	u	NOUN
ejpam-3834	288	20	(	(	PUNCT
ejpam-3834	288	21	1	1	NUM
ejpam-3834	288	22	+	+	NUM
ejpam-3834	288	23	o(1	o(1	NOUN
ejpam-3834	288	24	)	)	PUNCT
ejpam-3834	288	25	)	)	PUNCT
ejpam-3834	288	26	(	(	PUNCT
ejpam-3834	288	27	33	33	NUM
ejpam-3834	288	28	)	)	PUNCT
ejpam-3834	289	1	+	+	CCONJ
ejpam-3834	289	2	(	(	PUNCT
ejpam-3834	289	3	r	r	X
ejpam-3834	289	4	/	/	SYM
ejpam-3834	289	5	x)−	x)−	PROPN
ejpam-3834	289	6	(	(	PUNCT
ejpam-3834	289	7	r	r	NOUN
ejpam-3834	289	8	/	/	SYM
ejpam-3834	289	9	x)2/2	x)2/2	NOUN
ejpam-3834	289	10	log	log	NOUN
ejpam-3834	289	11	1	1	NUM
ejpam-3834	289	12	/	/	SYM
ejpam-3834	289	13	u	u	NOUN
ejpam-3834	289	14	+	+	NOUN
ejpam-3834	289	15	o((log	o((log	PROPN
ejpam-3834	289	16	1	1	NUM
ejpam-3834	289	17	/	/	SYM
ejpam-3834	289	18	u)−4	u)−4	NOUN
ejpam-3834	289	19	)	)	PUNCT
ejpam-3834	289	20	.	.	PUNCT
ejpam-3834	290	1	g.s	g.s	PROPN
ejpam-3834	290	2	.	.	PROPN
ejpam-3834	290	3	lo	lo	PROPN
ejpam-3834	290	4	,	,	PUNCT
ejpam-3834	290	5	m.	m.	NOUN
ejpam-3834	290	6	ngom	ngom	PROPN
ejpam-3834	290	7	,	,	PUNCT
ejpam-3834	290	8	m.diallo	m.diallo	PROPN
ejpam-3834	290	9	/	/	SYM
ejpam-3834	290	10	eur	eur	PROPN
ejpam-3834	290	11	.	.	PUNCT
ejpam-3834	291	1	j.	j.	PROPN
ejpam-3834	291	2	pure	pure	PROPN
ejpam-3834	291	3	appl	appl	PROPN
ejpam-3834	291	4	.	.	PROPN
ejpam-3834	291	5	math	math	PROPN
ejpam-3834	291	6	,	,	PUNCT
ejpam-3834	291	7	13	13	NUM
ejpam-3834	291	8	(	(	PUNCT
ejpam-3834	291	9	4	4	NUM
ejpam-3834	291	10	)	)	PUNCT
ejpam-3834	291	11	(	(	PUNCT
ejpam-3834	291	12	2020	2020	NUM
ejpam-3834	291	13	)	)	PUNCT
ejpam-3834	291	14	,	,	PUNCT
ejpam-3834	291	15	739	739	NUM
ejpam-3834	291	16	-	-	SYM
ejpam-3834	291	17	757	757	NUM
ejpam-3834	291	18	755	755	NUM
ejpam-3834	291	19	from	from	ADP
ejpam-3834	291	20	22	22	NUM
ejpam-3834	291	21	,	,	PUNCT
ejpam-3834	291	22	and	and	CCONJ
ejpam-3834	291	23	from	from	ADP
ejpam-3834	291	24	the	the	DET
ejpam-3834	291	25	following	follow	VERB
ejpam-3834	291	26	formula	formula	NOUN
ejpam-3834	291	27	we	we	PRON
ejpam-3834	291	28	can	can	AUX
ejpam-3834	291	29	check	check	VERB
ejpam-3834	291	30	by	by	ADP
ejpam-3834	291	31	using	use	VERB
ejpam-3834	291	32	differentiation	differentiation	NOUN
ejpam-3834	291	33	methods	method	NOUN
ejpam-3834	291	34	to	to	PART
ejpam-3834	291	35	establish	establish	VERB
ejpam-3834	291	36	monotonicity	monotonicity	NOUN
ejpam-3834	291	37	x−	x−	PROPN
ejpam-3834	291	38	x2/2	x2/2	PROPN
ejpam-3834	291	39	≤	≤	NUM
ejpam-3834	291	40	log(1	log(1	NOUN
ejpam-3834	292	1	+	+	CCONJ
ejpam-3834	292	2	x	x	X
ejpam-3834	292	3	)	)	PUNCT
ejpam-3834	292	4	≤	≤	NOUN
ejpam-3834	292	5	x	x	X
ejpam-3834	292	6	we	we	PRON
ejpam-3834	292	7	have	have	VERB
ejpam-3834	292	8	(	(	PUNCT
ejpam-3834	292	9	r	r	NOUN
ejpam-3834	292	10	/	/	SYM
ejpam-3834	292	11	x)−r2/(2x2	x)−r2/(2x2	PROPN
ejpam-3834	292	12	)	)	PUNCT
ejpam-3834	293	1	+	+	CCONJ
ejpam-3834	293	2	logr+	logr+	X
ejpam-3834	293	3	log	log	VERB
ejpam-3834	293	4	x	x	SYM
ejpam-3834	293	5	≤	≤	ADJ
ejpam-3834	293	6	θx−	θx−	NUM
ejpam-3834	293	7	log(1	log(1	NOUN
ejpam-3834	293	8	/	/	SYM
ejpam-3834	293	9	u	u	NOUN
ejpam-3834	293	10	)	)	PUNCT
ejpam-3834	293	11	≤	≤	NOUN
ejpam-3834	293	12	(	(	PUNCT
ejpam-3834	293	13	r	r	NOUN
ejpam-3834	293	14	/	/	SYM
ejpam-3834	293	15	x	x	NOUN
ejpam-3834	293	16	)	)	PUNCT
ejpam-3834	293	17	+	+	CCONJ
ejpam-3834	293	18	logr+	logr+	X
ejpam-3834	294	1	log	log	NOUN
ejpam-3834	294	2	x.	x.	NOUN
ejpam-3834	294	3	(	(	PUNCT
ejpam-3834	294	4	34	34	NUM
ejpam-3834	294	5	)	)	PUNCT
ejpam-3834	294	6	but	but	CCONJ
ejpam-3834	294	7	we	we	PRON
ejpam-3834	294	8	also	also	ADV
ejpam-3834	294	9	have	have	VERB
ejpam-3834	294	10	x	x	X
ejpam-3834	294	11	=	=	SYM
ejpam-3834	294	12	log(1	log(1	NOUN
ejpam-3834	294	13	/	/	SYM
ejpam-3834	294	14	u	u	NOUN
ejpam-3834	294	15	)	)	PUNCT
ejpam-3834	294	16	(	(	PUNCT
ejpam-3834	294	17	1	1	NUM
ejpam-3834	294	18	+	+	CCONJ
ejpam-3834	294	19	log	log	VERB
ejpam-3834	294	20	β−1	β−1	PUNCT
ejpam-3834	294	21	+	+	CCONJ
ejpam-3834	294	22	log	log	VERB
ejpam-3834	294	23	x+a(u	x+a(u	NUM
ejpam-3834	294	24	)	)	PUNCT
ejpam-3834	294	25	log(1	log(1	NOUN
ejpam-3834	294	26	/	/	SYM
ejpam-3834	294	27	u	u	NOUN
ejpam-3834	294	28	)	)	PUNCT
ejpam-3834	294	29	)	)	PUNCT
ejpam-3834	294	30	which	which	PRON
ejpam-3834	294	31	implies	imply	VERB
ejpam-3834	294	32	log	log	NOUN
ejpam-3834	294	33	x	x	PUNCT
ejpam-3834	294	34	=	=	SYM
ejpam-3834	294	35	log	log	VERB
ejpam-3834	294	36	log(1	log(1	NOUN
ejpam-3834	294	37	/	/	SYM
ejpam-3834	294	38	u	u	NOUN
ejpam-3834	294	39	)	)	PUNCT
ejpam-3834	295	1	+	+	CCONJ
ejpam-3834	295	2	log	log	NOUN
ejpam-3834	295	3	(	(	PUNCT
ejpam-3834	295	4	1	1	NUM
ejpam-3834	295	5	+	+	CCONJ
ejpam-3834	295	6	log	log	VERB
ejpam-3834	295	7	β−1	β−1	PUNCT
ejpam-3834	295	8	+	+	CCONJ
ejpam-3834	295	9	log	log	VERB
ejpam-3834	295	10	x+a(u	x+a(u	NUM
ejpam-3834	295	11	)	)	PUNCT
ejpam-3834	295	12	log(1	log(1	NOUN
ejpam-3834	295	13	/	/	SYM
ejpam-3834	295	14	u	u	NOUN
ejpam-3834	295	15	)	)	PUNCT
ejpam-3834	295	16	)	)	PUNCT
ejpam-3834	295	17	by	by	ADP
ejpam-3834	295	18	putting	put	VERB
ejpam-3834	295	19	h(u	h(u	PROPN
ejpam-3834	295	20	)	)	PUNCT
ejpam-3834	296	1	=	=	VERB
ejpam-3834	296	2	log	log	VERB
ejpam-3834	296	3	β−1	β−1	PUNCT
ejpam-3834	296	4	+	+	CCONJ
ejpam-3834	296	5	log	log	VERB
ejpam-3834	296	6	x+a(u	x+a(u	NUM
ejpam-3834	296	7	)	)	PUNCT
ejpam-3834	296	8	log(1	log(1	NOUN
ejpam-3834	296	9	/	/	SYM
ejpam-3834	296	10	u	u	NOUN
ejpam-3834	296	11	)	)	PUNCT
ejpam-3834	296	12	,	,	PUNCT
ejpam-3834	296	13	we	we	PRON
ejpam-3834	296	14	finally	finally	ADV
ejpam-3834	296	15	get	get	VERB
ejpam-3834	296	16	h(u)−h(u)2/2	h(u)−h(u)2/2	ADJ
ejpam-3834	296	17	≤	≤	NUM
ejpam-3834	296	18	log	log	NOUN
ejpam-3834	296	19	x−	x−	PROPN
ejpam-3834	296	20	log	log	PROPN
ejpam-3834	296	21	log(1	log(1	NOUN
ejpam-3834	296	22	/	/	SYM
ejpam-3834	296	23	u	u	NOUN
ejpam-3834	296	24	)	)	PUNCT
ejpam-3834	296	25	≤	≤	NOUN
ejpam-3834	296	26	h(u	h(u	PROPN
ejpam-3834	296	27	)	)	PUNCT
ejpam-3834	296	28	.	.	PUNCT
ejpam-3834	297	1	(	(	PUNCT
ejpam-3834	297	2	35	35	NUM
ejpam-3834	297	3	)	)	PUNCT
ejpam-3834	297	4	by	by	ADP
ejpam-3834	297	5	combining	combine	VERB
ejpam-3834	297	6	formulas	formula	NOUN
ejpam-3834	297	7	(	(	PUNCT
ejpam-3834	297	8	34	34	NUM
ejpam-3834	297	9	)	)	PUNCT
ejpam-3834	297	10	and	and	CCONJ
ejpam-3834	297	11	(	(	PUNCT
ejpam-3834	297	12	35	35	NUM
ejpam-3834	297	13	)	)	PUNCT
ejpam-3834	297	14	,	,	PUNCT
ejpam-3834	297	15	we	we	PRON
ejpam-3834	297	16	get	get	VERB
ejpam-3834	297	17	|θx−	|θx−	PROPN
ejpam-3834	297	18	log(1	log(1	NOUN
ejpam-3834	297	19	/	/	PUNCT
ejpam-3834	297	20	u)−	u)−	PROPN
ejpam-3834	297	21	log(1	log(1	NOUN
ejpam-3834	297	22	/	/	PUNCT
ejpam-3834	298	1	u)|	u)|	NOUN
ejpam-3834	298	2	≤	≤	ADV
ejpam-3834	298	3	1	1	NUM
ejpam-3834	298	4	2	2	NUM
ejpam-3834	298	5	(	(	PUNCT
ejpam-3834	298	6	r2	r2	NOUN
ejpam-3834	298	7	x2	x2	PROPN
ejpam-3834	299	1	+	+	NOUN
ejpam-3834	299	2	h(u)2	h(u)2	NOUN
ejpam-3834	299	3	)	)	PUNCT
ejpam-3834	299	4	.	.	PUNCT
ejpam-3834	300	1	(	(	PUNCT
ejpam-3834	300	2	36	36	NUM
ejpam-3834	300	3	)	)	PUNCT
ejpam-3834	300	4	since	since	SCONJ
ejpam-3834	300	5	(	(	PUNCT
ejpam-3834	300	6	r	r	NOUN
ejpam-3834	300	7	/	/	SYM
ejpam-3834	300	8	x2	x2	NOUN
ejpam-3834	300	9	)	)	PUNCT
ejpam-3834	300	10	and	and	CCONJ
ejpam-3834	300	11	h(u)2	h(u)2	NOUN
ejpam-3834	300	12	are	be	AUX
ejpam-3834	300	13	both	both	PRON
ejpam-3834	300	14	o(log	o(log	PROPN
ejpam-3834	300	15	1	1	NUM
ejpam-3834	300	16	/	/	SYM
ejpam-3834	300	17	u)−2	u)−2	NOUN
ejpam-3834	300	18	)	)	PUNCT
ejpam-3834	300	19	,	,	PUNCT
ejpam-3834	300	20	we	we	PRON
ejpam-3834	300	21	have	have	VERB
ejpam-3834	300	22	f−1(1−	f−1(1−	PROPN
ejpam-3834	300	23	u	u	NOUN
ejpam-3834	300	24	)	)	PUNCT
ejpam-3834	300	25	=	=	PUNCT
ejpam-3834	300	26	θ−1(log(1	θ−1(log(1	PROPN
ejpam-3834	300	27	/	/	SYM
ejpam-3834	300	28	u)−	u)−	PROPN
ejpam-3834	300	29	log	log	NOUN
ejpam-3834	300	30	log(1	log(1	NOUN
ejpam-3834	300	31	/	/	SYM
ejpam-3834	300	32	u	u	NOUN
ejpam-3834	300	33	)	)	PUNCT
ejpam-3834	300	34	)	)	PUNCT
ejpam-3834	301	1	+	+	ADP
ejpam-3834	301	2	o(log	o(log	PROPN
ejpam-3834	301	3	1	1	NUM
ejpam-3834	301	4	/	/	SYM
ejpam-3834	301	5	u)−2	u)−2	NOUN
ejpam-3834	301	6	)	)	PUNCT
ejpam-3834	301	7	.	.	PUNCT
ejpam-3834	302	1	(	(	PUNCT
ejpam-3834	302	2	37	37	NUM
ejpam-3834	302	3	)	)	PUNCT
ejpam-3834	302	4	but	but	CCONJ
ejpam-3834	302	5	since	since	SCONJ
ejpam-3834	302	6	the	the	DET
ejpam-3834	302	7	derivative	derivative	ADJ
ejpam-3834	302	8	log	log	NOUN
ejpam-3834	302	9	log(1	log(1	NOUN
ejpam-3834	302	10	/	/	SYM
ejpam-3834	302	11	u	u	NOUN
ejpam-3834	302	12	)	)	PUNCT
ejpam-3834	302	13	is	be	AUX
ejpam-3834	302	14	(	(	PUNCT
ejpam-3834	302	15	−u	−u	PROPN
ejpam-3834	302	16	log(1	log(1	NOUN
ejpam-3834	302	17	/	/	SYM
ejpam-3834	303	1	u))−1	u))−1	NOUN
ejpam-3834	303	2	,	,	PUNCT
ejpam-3834	303	3	we	we	PRON
ejpam-3834	303	4	have	have	VERB
ejpam-3834	303	5	for	for	ADP
ejpam-3834	303	6	d	d	NOUN
ejpam-3834	303	7	=	=	SYM
ejpam-3834	303	8	−	−	PROPN
ejpam-3834	303	9	log	log	NOUN
ejpam-3834	303	10	log	log	NOUN
ejpam-3834	303	11	2	2	NUM
ejpam-3834	303	12	,	,	PUNCT
ejpam-3834	303	13	∀u	∀u	NOUN
ejpam-3834	303	14	∈]0	∈]0	ADJ
ejpam-3834	303	15	,	,	PUNCT
ejpam-3834	303	16	1	1	NUM
ejpam-3834	303	17	[	[	X
ejpam-3834	303	18	,	,	PUNCT
ejpam-3834	303	19	log	log	VERB
ejpam-3834	303	20	log(1	log(1	NOUN
ejpam-3834	303	21	/	/	PUNCT
ejpam-3834	304	1	u)−	u)−	PROPN
ejpam-3834	304	2	=	=	SYM
ejpam-3834	304	3	∫	∫	PROPN
ejpam-3834	304	4	1/2	1/2	NUM
ejpam-3834	304	5	u	u	NOUN
ejpam-3834	304	6	1	1	NUM
ejpam-3834	304	7	u	u	NOUN
ejpam-3834	304	8	log(1	log(1	NOUN
ejpam-3834	304	9	/	/	SYM
ejpam-3834	304	10	u	u	PROPN
ejpam-3834	304	11	du	du	PROPN
ejpam-3834	304	12	,	,	PUNCT
ejpam-3834	304	13	references	reference	VERB
ejpam-3834	304	14	756	756	NUM
ejpam-3834	304	15	and	and	CCONJ
ejpam-3834	304	16	finally	finally	ADV
ejpam-3834	304	17	f−1(1−	f−1(1−	PROPN
ejpam-3834	304	18	u	u	PROPN
ejpam-3834	304	19	)	)	PUNCT
ejpam-3834	304	20	=	=	PUNCT
ejpam-3834	304	21	d+	d+	PUNCT
ejpam-3834	304	22	θ−1(log(1	θ−1(log(1	PROPN
ejpam-3834	304	23	/	/	SYM
ejpam-3834	304	24	u)−	u)−	PROPN
ejpam-3834	304	25	∫	∫	PROPN
ejpam-3834	304	26	1/2	1/2	NUM
ejpam-3834	304	27	u	u	NOUN
ejpam-3834	304	28	1	1	NUM
ejpam-3834	304	29	u	u	NOUN
ejpam-3834	304	30	log(1	log(1	NOUN
ejpam-3834	304	31	/	/	SYM
ejpam-3834	304	32	u	u	NOUN
ejpam-3834	304	33	)	)	PUNCT
ejpam-3834	304	34	du+o	du+o	VERB
ejpam-3834	304	35	(	(	PUNCT
ejpam-3834	304	36	(	(	PUNCT
ejpam-3834	304	37	log	log	VERB
ejpam-3834	304	38	1	1	NUM
ejpam-3834	304	39	/	/	SYM
ejpam-3834	304	40	u)−2	u)−2	PROPN
ejpam-3834	304	41	)	)	PUNCT
ejpam-3834	304	42	.	.	PUNCT
ejpam-3834	305	1	(	(	PUNCT
ejpam-3834	305	2	38	38	NUM
ejpam-3834	305	3	)	)	PUNCT
ejpam-3834	305	4	references	reference	NOUN
ejpam-3834	305	5	[	[	X
ejpam-3834	305	6	1	1	NUM
ejpam-3834	305	7	]	]	PUNCT
ejpam-3834	305	8	p.	p.	PROPN
ejpam-3834	305	9	billingsley	billingsley	PROPN
ejpam-3834	305	10	.	.	PUNCT
ejpam-3834	305	11	probability	probability	NOUN
ejpam-3834	305	12	and	and	CCONJ
ejpam-3834	305	13	measure	measure	NOUN
ejpam-3834	305	14	.	.	PUNCT
ejpam-3834	306	1	wiley	wiley	PROPN
ejpam-3834	306	2	,	,	PUNCT
ejpam-3834	306	3	third	third	ADJ
ejpam-3834	306	4	edition	edition	NOUN
ejpam-3834	306	5	,	,	PUNCT
ejpam-3834	306	6	1995	1995	NUM
ejpam-3834	306	7	.	.	PUNCT
ejpam-3834	307	1	[	[	X
ejpam-3834	307	2	2	2	NUM
ejpam-3834	307	3	]	]	PUNCT
ejpam-3834	307	4	l.	l.	PROPN
ejpam-3834	307	5	de	de	PROPN
ejpam-3834	307	6	haan	haan	PROPN
ejpam-3834	307	7	.	.	PUNCT
ejpam-3834	308	1	on	on	ADP
ejpam-3834	308	2	regular	regular	ADJ
ejpam-3834	308	3	variation	variation	NOUN
ejpam-3834	308	4	and	and	CCONJ
ejpam-3834	308	5	its	its	PRON
ejpam-3834	308	6	application	application	NOUN
ejpam-3834	308	7	to	to	ADP
ejpam-3834	308	8	the	the	DET
ejpam-3834	308	9	weak	weak	ADJ
ejpam-3834	308	10	convergence	convergence	NOUN
ejpam-3834	308	11	of	of	ADP
ejpam-3834	308	12	sample	sample	NOUN
ejpam-3834	308	13	extremes	extreme	NOUN
ejpam-3834	308	14	.	.	PUNCT
ejpam-3834	309	1	mathematical	mathematical	ADJ
ejpam-3834	309	2	center	center	NOUN
ejpam-3834	309	3	tracts	tract	NOUN
ejpam-3834	309	4	,	,	PUNCT
ejpam-3834	309	5	amsterdam	amsterdam	PROPN
ejpam-3834	309	6	.	.	PUNCT
ejpam-3834	310	1	(	(	PUNCT
ejpam-3834	310	2	mr0286156	mr0286156	PROPN
ejpam-3834	310	3	)	)	PUNCT
ejpam-3834	310	4	,	,	PUNCT
ejpam-3834	310	5	1970	1970	NUM
ejpam-3834	310	6	.	.	PUNCT
ejpam-3834	311	1	[	[	X
ejpam-3834	311	2	3	3	X
ejpam-3834	311	3	]	]	X
ejpam-3834	311	4	b.	b.	PROPN
ejpam-3834	311	5	hill	hill	PROPN
ejpam-3834	311	6	.	.	PUNCT
ejpam-3834	312	1	a	a	DET
ejpam-3834	312	2	simple	simple	ADJ
ejpam-3834	312	3	general	general	ADJ
ejpam-3834	312	4	approach	approach	NOUN
ejpam-3834	312	5	to	to	ADP
ejpam-3834	312	6	the	the	DET
ejpam-3834	312	7	inference	inference	NOUN
ejpam-3834	312	8	about	about	ADP
ejpam-3834	312	9	the	the	DET
ejpam-3834	312	10	tail	tail	NOUN
ejpam-3834	312	11	index	index	NOUN
ejpam-3834	312	12	of	of	ADP
ejpam-3834	312	13	a	a	DET
ejpam-3834	312	14	distribution	distribution	NOUN
ejpam-3834	312	15	.	.	PUNCT
ejpam-3834	313	1	ann	ann	PROPN
ejpam-3834	313	2	.	.	PUNCT
ejpam-3834	313	3	statist	statist	PROPN
ejpam-3834	313	4	.	.	PUNCT
ejpam-3834	313	5	,	,	PUNCT
ejpam-3834	314	1	3:1163–1174	3:1163–1174	NUM
ejpam-3834	314	2	,	,	PUNCT
ejpam-3834	314	3	1975	1975	NUM
ejpam-3834	314	4	.	.	PUNCT
ejpam-3834	315	1	[	[	X
ejpam-3834	315	2	4	4	NUM
ejpam-3834	315	3	]	]	X
ejpam-3834	315	4	g.s	g.s	PROPN
ejpam-3834	315	5	.	.	PROPN
ejpam-3834	315	6	lo	lo	PROPN
ejpam-3834	315	7	.	.	PUNCT
ejpam-3834	316	1	sur	sur	PROPN
ejpam-3834	316	2	quelques	quelques	PROPN
ejpam-3834	316	3	estimateurs	estimateur	VERB
ejpam-3834	316	4	de	de	PROPN
ejpam-3834	316	5	l’index	l’index	NOUN
ejpam-3834	316	6	d’une	d’une	NOUN
ejpam-3834	316	7	loi	loi	X
ejpam-3834	316	8	de	de	X
ejpam-3834	316	9	pareto	pareto	NOUN
ejpam-3834	316	10	:	:	PUNCT
ejpam-3834	316	11	estimateur	estimateur	PROPN
ejpam-3834	316	12	de	de	PROPN
ejpam-3834	316	13	hill	hill	PROPN
ejpam-3834	316	14	,	,	PUNCT
ejpam-3834	316	15	de	de	ADP
ejpam-3834	316	16	s.csörgő-deheuvels	s.csörgő-deheuvels	PROPN
ejpam-3834	316	17	-	-	PUNCT
ejpam-3834	316	18	mason	mason	NOUN
ejpam-3834	316	19	,	,	PUNCT
ejpam-3834	316	20	de	de	PROPN
ejpam-3834	316	21	de	de	X
ejpam-3834	316	22	haan	haan	PROPN
ejpam-3834	316	23	-	-	PUNCT
ejpam-3834	316	24	resnick	resnick	PROPN
ejpam-3834	316	25	et	et	PROPN
ejpam-3834	316	26	loi	loi	PROPN
ejpam-3834	316	27	limites	limites	PROPN
ejpam-3834	316	28	de	de	ADP
ejpam-3834	316	29	sommes	sommes	X
ejpam-3834	316	30	de	de	PROPN
ejpam-3834	316	31	valeurs	valeurs	PROPN
ejpam-3834	316	32	extrêmes	extrêmes	PROPN
ejpam-3834	316	33	pour	pour	VERB
ejpam-3834	316	34	une	une	PROPN
ejpam-3834	316	35	variable	variable	PROPN
ejpam-3834	316	36	aléatoire	aléatoire	PROPN
ejpam-3834	316	37	dans	dans	PROPN
ejpam-3834	316	38	le	le	AUX
ejpam-3834	316	39	domaine	domaine	PROPN
ejpam-3834	316	40	d’attraction	d’attraction	PROPN
ejpam-3834	316	41	de	de	PROPN
ejpam-3834	316	42	gumbel	gumbel	PROPN
ejpam-3834	316	43	.	.	PUNCT
ejpam-3834	317	1	université	université	PROPN
ejpam-3834	317	2	pierre	pierre	PROPN
ejpam-3834	317	3	et	et	PROPN
ejpam-3834	317	4	marie	marie	PROPN
ejpam-3834	317	5	curie	curie	PROPN
ejpam-3834	317	6	,	,	PUNCT
ejpam-3834	317	7	sorbonne	sorbonne	PROPN
ejpam-3834	317	8	.	.	PROPN
ejpam-3834	317	9	thèse	thèse	PROPN
ejpam-3834	317	10	de	de	X
ejpam-3834	317	11	doctorat	doctorat	PROPN
ejpam-3834	317	12	,	,	PUNCT
ejpam-3834	317	13	1986	1986	NUM
ejpam-3834	317	14	.	.	PUNCT
ejpam-3834	318	1	[	[	X
ejpam-3834	318	2	5	5	NUM
ejpam-3834	318	3	]	]	X
ejpam-3834	318	4	g.s	g.s	PROPN
ejpam-3834	318	5	.	.	PROPN
ejpam-3834	318	6	lo	lo	PROPN
ejpam-3834	318	7	.	.	PROPN
ejpam-3834	318	8	mathematical	mathematical	PROPN
ejpam-3834	318	9	foundation	foundation	NOUN
ejpam-3834	318	10	of	of	ADP
ejpam-3834	318	11	probability	probability	NOUN
ejpam-3834	318	12	theory	theory	NOUN
ejpam-3834	318	13	.	.	PUNCT
ejpam-3834	319	1	arxiv:1808.01713	arxiv:1808.01713	NOUN
ejpam-3834	319	2	,	,	PUNCT
ejpam-3834	319	3	doi	doi	NOUN
ejpam-3834	319	4	:	:	PUNCT
ejpam-3834	319	5	10.16929	10.16929	NUM
ejpam-3834	319	6	/	/	SYM
ejpam-3834	319	7	sbs/2016.0008	sbs/2016.0008	NOUN
ejpam-3834	319	8	,	,	PUNCT
ejpam-3834	319	9	2018	2018	NUM
ejpam-3834	319	10	.	.	PUNCT
ejpam-3834	320	1	[	[	X
ejpam-3834	320	2	6	6	NUM
ejpam-3834	320	3	]	]	X
ejpam-3834	320	4	g.s	g.s	PROPN
ejpam-3834	320	5	.	.	PROPN
ejpam-3834	320	6	lo	lo	PROPN
ejpam-3834	320	7	,	,	PUNCT
ejpam-3834	320	8	t.	t.	NOUN
ejpam-3834	320	9	a.	a.	NOUN
ejpam-3834	320	10	kpanzou	kpanzou	PROPN
ejpam-3834	320	11	,	,	PUNCT
ejpam-3834	320	12	and	and	CCONJ
ejpam-3834	320	13	c.m	c.m	PROPN
ejpam-3834	320	14	.	.	PROPN
ejpam-3834	320	15	haidara	haidara	PROPN
ejpam-3834	320	16	.	.	PUNCT
ejpam-3834	321	1	statistical	statistical	ADJ
ejpam-3834	321	2	tests	test	NOUN
ejpam-3834	321	3	for	for	ADP
ejpam-3834	321	4	the	the	DET
ejpam-3834	321	5	pseudo	pseudo	NOUN
ejpam-3834	321	6	-	-	ADJ
ejpam-3834	321	7	lindley	lindley	ADJ
ejpam-3834	321	8	distribution	distribution	NOUN
ejpam-3834	321	9	and	and	CCONJ
ejpam-3834	321	10	applications	application	NOUN
ejpam-3834	321	11	.	.	PUNCT
ejpam-3834	322	1	afrik	afrik	PROPN
ejpam-3834	322	2	.	.	PUNCT
ejpam-3834	323	1	statist	statist	PROPN
ejpam-3834	323	2	.	.	PUNCT
ejpam-3834	323	3	,	,	PUNCT
ejpam-3834	323	4	doi	doi	NOUN
ejpam-3834	323	5	:	:	PUNCT
ejpam-3834	323	6	10.16929	10.16929	NUM
ejpam-3834	323	7	/	/	SYM
ejpam-3834	323	8	as/2019.2127.151	as/2019.2127.151	PROPN
ejpam-3834	323	9	,	,	PUNCT
ejpam-3834	323	10	14	14	NUM
ejpam-3834	323	11	(	(	PUNCT
ejpam-3834	323	12	4):2127–2139	4):2127–2139	NUM
ejpam-3834	323	13	,	,	PUNCT
ejpam-3834	323	14	2019	2019	NUM
ejpam-3834	323	15	.	.	PUNCT
ejpam-3834	324	1	[	[	X
ejpam-3834	324	2	7	7	X
ejpam-3834	324	3	]	]	X
ejpam-3834	324	4	g.s	g.s	PROPN
ejpam-3834	324	5	.	.	PROPN
ejpam-3834	324	6	lo	lo	PROPN
ejpam-3834	324	7	,	,	PUNCT
ejpam-3834	324	8	t.	t.	NOUN
ejpam-3834	324	9	a.	a.	NOUN
ejpam-3834	324	10	kpanzou	kpanzou	PROPN
ejpam-3834	324	11	,	,	PUNCT
ejpam-3834	324	12	m.	m.	NOUN
ejpam-3834	324	13	ngom	ngom	PROPN
ejpam-3834	324	14	,	,	PUNCT
ejpam-3834	324	15	and	and	CCONJ
ejpam-3834	324	16	m.	m.	PROPN
ejpam-3834	324	17	diallo	diallo	PROPN
ejpam-3834	324	18	.	.	PUNCT
ejpam-3834	325	1	weak	weak	ADJ
ejpam-3834	325	2	convergence	convergence	NOUN
ejpam-3834	325	3	(	(	PUNCT
ejpam-3834	325	4	iia	iia	NOUN
ejpam-3834	325	5	)	)	PUNCT
ejpam-3834	325	6	functional	functional	ADJ
ejpam-3834	325	7	and	and	CCONJ
ejpam-3834	325	8	random	random	ADJ
ejpam-3834	325	9	aspects	aspect	NOUN
ejpam-3834	325	10	of	of	ADP
ejpam-3834	325	11	the	the	DET
ejpam-3834	325	12	univariate	univariate	ADJ
ejpam-3834	325	13	extreme	extreme	ADJ
ejpam-3834	325	14	value	value	NOUN
ejpam-3834	325	15	theory	theory	NOUN
ejpam-3834	325	16	.	.	PUNCT
ejpam-3834	326	1	arxiv	arxiv	NOUN
ejpam-3834	326	2	:	:	PUNCT
ejpam-3834	326	3	1810.01625	1810.01625	NUM
ejpam-3834	326	4	,	,	PUNCT
ejpam-3834	326	5	2018	2018	NUM
ejpam-3834	326	6	.	.	PUNCT
ejpam-3834	327	1	[	[	X
ejpam-3834	327	2	8	8	NUM
ejpam-3834	327	3	]	]	X
ejpam-3834	327	4	g.s	g.s	PROPN
ejpam-3834	327	5	.	.	PROPN
ejpam-3834	327	6	lo	lo	PROPN
ejpam-3834	327	7	and	and	CCONJ
ejpam-3834	327	8	ahnsanullah	ahnsanullah	PROPN
ejpam-3834	327	9	m.	m.	NOUN
ejpam-3834	327	10	asymptotic	asymptotic	ADJ
ejpam-3834	327	11	laws	law	NOUN
ejpam-3834	327	12	of	of	ADP
ejpam-3834	327	13	the	the	DET
ejpam-3834	327	14	strong	strong	ADJ
ejpam-3834	327	15	upper	upper	ADJ
ejpam-3834	327	16	records	record	NOUN
ejpam-3834	327	17	values	value	NOUN
ejpam-3834	327	18	in	in	ADP
ejpam-3834	327	19	the	the	DET
ejpam-3834	327	20	extreme	extreme	ADJ
ejpam-3834	327	21	domain	domain	NOUN
ejpam-3834	327	22	of	of	ADP
ejpam-3834	327	23	attraction	attraction	NOUN
ejpam-3834	327	24	and	and	CCONJ
ejpam-3834	327	25	beyond	beyond	ADP
ejpam-3834	327	26	.	.	PUNCT
ejpam-3834	328	1	arxiv	arxiv	NOUN
ejpam-3834	328	2	:	:	PUNCT
ejpam-3834	328	3	1905.03380	1905.03380	NUM
ejpam-3834	328	4	,	,	PUNCT
ejpam-3834	328	5	2019	2019	NUM
ejpam-3834	328	6	.	.	PUNCT
ejpam-3834	329	1	[	[	X
ejpam-3834	329	2	9	9	NUM
ejpam-3834	329	3	]	]	X
ejpam-3834	329	4	g.s	g.s	PROPN
ejpam-3834	329	5	.	.	PROPN
ejpam-3834	329	6	lo	lo	PROPN
ejpam-3834	329	7	,	,	PUNCT
ejpam-3834	329	8	m.	m.	NOUN
ejpam-3834	329	9	ngom	ngom	PROPN
ejpam-3834	329	10	,	,	PUNCT
ejpam-3834	329	11	and	and	CCONJ
ejpam-3834	329	12	t.	t.	NOUN
ejpam-3834	329	13	a.	a.	NOUN
ejpam-3834	329	14	kpanzou	kpanzou	PROPN
ejpam-3834	329	15	.	.	PUNCT
ejpam-3834	330	1	weak	weak	ADJ
ejpam-3834	330	2	convergence	convergence	NOUN
ejpam-3834	330	3	(	(	PUNCT
ejpam-3834	330	4	ia	ia	NOUN
ejpam-3834	330	5	)	)	PUNCT
ejpam-3834	330	6	sequences	sequence	NOUN
ejpam-3834	330	7	of	of	ADP
ejpam-3834	330	8	random	random	ADJ
ejpam-3834	330	9	vectors	vector	NOUN
ejpam-3834	330	10	.	.	PUNCT
ejpam-3834	331	1	arxiv:1810.01625	arxiv:1810.01625	PROPN
ejpam-3834	331	2	,	,	PUNCT
ejpam-3834	331	3	doi	doi	NOUN
ejpam-3834	331	4	:	:	PUNCT
ejpam-3834	331	5	10.16929	10.16929	NUM
ejpam-3834	331	6	/	/	SYM
ejpam-3834	331	7	sbs/2016.0001	sbs/2016.0001	VERB
ejpam-3834	331	8	,	,	PUNCT
ejpam-3834	331	9	2016	2016	NUM
ejpam-3834	331	10	.	.	PUNCT
ejpam-3834	332	1	[	[	X
ejpam-3834	332	2	10	10	NUM
ejpam-3834	332	3	]	]	X
ejpam-3834	332	4	g.s	g.s	PROPN
ejpam-3834	332	5	.	.	PROPN
ejpam-3834	332	6	lo	lo	PROPN
ejpam-3834	332	7	,	,	PUNCT
ejpam-3834	332	8	m.	m.	NOUN
ejpam-3834	332	9	touré	touré	ADJ
ejpam-3834	332	10	,	,	PUNCT
ejpam-3834	332	11	and	and	CCONJ
ejpam-3834	332	12	a.b	a.b	PROPN
ejpam-3834	332	13	.	.	PROPN
ejpam-3834	332	14	niang	niang	PROPN
ejpam-3834	332	15	.	.	PUNCT
ejpam-3834	333	1	recent	recent	ADJ
ejpam-3834	333	2	and	and	CCONJ
ejpam-3834	333	3	modern	modern	ADJ
ejpam-3834	333	4	approach	approach	NOUN
ejpam-3834	333	5	to	to	ADP
ejpam-3834	333	6	the	the	DET
ejpam-3834	333	7	moment	moment	NOUN
ejpam-3834	333	8	problem	problem	NOUN
ejpam-3834	333	9	on	on	ADP
ejpam-3834	333	10	r.	r.	PROPN
ejpam-3834	333	11	in	in	ADP
ejpam-3834	333	12	:	:	PUNCT
ejpam-3834	333	13	theory	theory	NOUN
ejpam-3834	333	14	and	and	CCONJ
ejpam-3834	333	15	practice	practice	NOUN
ejpam-3834	333	16	of	of	ADP
ejpam-3834	333	17	mathematics	mathematic	NOUN
ejpam-3834	333	18	and	and	CCONJ
ejpam-3834	333	19	computer	computer	NOUN
ejpam-3834	333	20	science	science	NOUN
ejpam-3834	333	21	vol	vol	NOUN
ejpam-3834	333	22	.	.	PUNCT
ejpam-3834	334	1	1	1	NUM
ejpam-3834	334	2	.	.	PUNCT
ejpam-3834	335	1	[	[	X
ejpam-3834	335	2	tpmcs	tpmcs	NOUN
ejpam-3834	335	3	-	-	PUNCT
ejpam-3834	335	4	v1	v1	NOUN
ejpam-3834	335	5	]	]	PUNCT
ejpam-3834	335	6	(	(	PUNCT
ejpam-3834	335	7	ed	ed	NOUN
ejpam-3834	335	8	.	.	PUNCT
ejpam-3834	335	9	b.	b.	PROPN
ejpam-3834	335	10	chaouchi	chaouchi	PROPN
ejpam-3834	335	11	)	)	PUNCT
ejpam-3834	335	12	.	.	PUNCT
ejpam-3834	336	1	isbn	isbn	ADJ
ejpam-3834	336	2	:	:	PUNCT
ejpam-3834	336	3	978	978	NUM
ejpam-3834	336	4	-	-	SYM
ejpam-3834	336	5	93	93	NUM
ejpam-3834	336	6	-	-	PUNCT
ejpam-3834	336	7	90149	90149	NUM
ejpam-3834	336	8	-	-	PUNCT
ejpam-3834	336	9	72	72	NUM
ejpam-3834	336	10	-	-	SYM
ejpam-3834	336	11	8	8	NUM
ejpam-3834	336	12	(	(	PUNCT
ejpam-3834	336	13	print	print	NOUN
ejpam-3834	336	14	)	)	PUNCT
ejpam-3834	336	15	,	,	PUNCT
ejpam-3834	336	16	978	978	NUM
ejpam-3834	336	17	-	-	SYM
ejpam-3834	336	18	93	93	NUM
ejpam-3834	336	19	-	-	PUNCT
ejpam-3834	336	20	9014922	9014922	NUM
ejpam-3834	336	21	-	-	SYM
ejpam-3834	336	22	3	3	NUM
ejpam-3834	336	23	(	(	PUNCT
ejpam-3834	336	24	ebook	ebook	NOUN
ejpam-3834	336	25	)	)	PUNCT
ejpam-3834	336	26	.	.	PUNCT
ejpam-3834	337	1	doi	doi	NOUN
ejpam-3834	337	2	:	:	PUNCT
ejpam-3834	337	3	doi	doi	NOUN
ejpam-3834	337	4	:	:	PUNCT
ejpam-3834	337	5	10.9734	10.9734	NUM
ejpam-3834	337	6	/	/	SYM
ejpam-3834	337	7	bpi	bpi	PROPN
ejpam-3834	337	8	/	/	SYM
ejpam-3834	337	9	tpmcs	tpmcs	ADJ
ejpam-3834	337	10	/	/	SYM
ejpam-3834	337	11	v1	v1	NOUN
ejpam-3834	337	12	.	.	PUNCT
ejpam-3834	338	1	book	book	NOUN
ejpam-3834	338	2	publishing	publish	VERB
ejpam-3834	338	3	international	international	PROPN
ejpam-3834	338	4	,	,	PUNCT
ejpam-3834	338	5	hooghly	hooghly	ADV
ejpam-3834	338	6	and	and	CCONJ
ejpam-3834	338	7	london	london	PROPN
ejpam-3834	338	8	,	,	PUNCT
ejpam-3834	338	9	2020	2020	NUM
ejpam-3834	338	10	.	.	PUNCT
ejpam-3834	339	1	[	[	X
ejpam-3834	339	2	11	11	NUM
ejpam-3834	339	3	]	]	PUNCT
ejpam-3834	339	4	m.	m.	PROPN
ejpam-3834	339	5	loève	loève	PROPN
ejpam-3834	339	6	.	.	PUNCT
ejpam-3834	340	1	probability	probability	PROPN
ejpam-3834	340	2	theory	theory	PROPN
ejpam-3834	340	3	i.	i.	PROPN
ejpam-3834	340	4	springer	springer	PROPN
ejpam-3834	340	5	-	-	PUNCT
ejpam-3834	340	6	verlag	verlag	PROPN
ejpam-3834	340	7	,	,	PUNCT
ejpam-3834	340	8	4th	4th	ADJ
ejpam-3834	340	9	edition	edition	NOUN
ejpam-3834	340	10	,	,	PUNCT
ejpam-3834	340	11	1997	1997	NUM
ejpam-3834	340	12	.	.	PUNCT
ejpam-3834	341	1	[	[	X
ejpam-3834	341	2	12	12	NUM
ejpam-3834	341	3	]	]	PUNCT
ejpam-3834	341	4	m.	m.	NOUN
ejpam-3834	341	5	ngom	ngom	PROPN
ejpam-3834	341	6	and	and	CCONJ
ejpam-3834	341	7	g.s	g.s	PROPN
ejpam-3834	341	8	.	.	PROPN
ejpam-3834	341	9	lo	lo	PROPN
ejpam-3834	341	10	.	.	PUNCT
ejpam-3834	342	1	a	a	DET
ejpam-3834	342	2	double	double	ADJ
ejpam-3834	342	3	-	-	PUNCT
ejpam-3834	342	4	indexed	index	VERB
ejpam-3834	342	5	functional	functional	ADJ
ejpam-3834	342	6	hill	hill	NOUN
ejpam-3834	342	7	process	process	NOUN
ejpam-3834	342	8	and	and	CCONJ
ejpam-3834	342	9	applications	application	NOUN
ejpam-3834	342	10	.	.	PUNCT
ejpam-3834	343	1	journal	journal	PROPN
ejpam-3834	343	2	of	of	ADP
ejpam-3834	343	3	mathematical	mathematical	ADJ
ejpam-3834	343	4	research	research	NOUN
ejpam-3834	343	5	(	(	PUNCT
ejpam-3834	343	6	e	e	NOUN
ejpam-3834	343	7	-	-	NOUN
ejpam-3834	343	8	issn	issn	PROPN
ejpam-3834	343	9	1916	1916	NUM
ejpam-3834	343	10	-	-	SYM
ejpam-3834	343	11	9809	9809	NUM
ejpam-3834	343	12	)	)	PUNCT
ejpam-3834	343	13	,	,	PUNCT
ejpam-3834	343	14	doi	doi	NOUN
ejpam-3834	343	15	:	:	PUNCT
ejpam-3834	343	16	105539	105539	NUM
ejpam-3834	343	17	/	/	SYM
ejpam-3834	343	18	jmr	jmr	PROPN
ejpam-3834	343	19	/	/	SYM
ejpam-3834	343	20	v8n4p144	v8n4p144	PROPN
ejpam-3834	343	21	,	,	PUNCT
ejpam-3834	343	22	8	8	NUM
ejpam-3834	343	23	(	(	PUNCT
ejpam-3834	343	24	4):144–165	4):144–165	NUM
ejpam-3834	343	25	,	,	PUNCT
ejpam-3834	343	26	2016	2016	NUM
ejpam-3834	343	27	.	.	PUNCT
ejpam-3834	344	1	references	reference	NOUN
ejpam-3834	344	2	757	757	NUM
ejpam-3834	344	3	[	[	SYM
ejpam-3834	344	4	13	13	NUM
ejpam-3834	344	5	]	]	X
ejpam-3834	344	6	j.a	j.a	PROPN
ejpam-3834	344	7	.	.	PROPN
ejpam-3834	344	8	shohat	shohat	PROPN
ejpam-3834	344	9	and	and	CCONJ
ejpam-3834	344	10	j.d	j.d	PROPN
ejpam-3834	344	11	.	.	PROPN
ejpam-3834	344	12	tamarkin	tamarkin	PROPN
ejpam-3834	344	13	.	.	PUNCT
ejpam-3834	345	1	the	the	DET
ejpam-3834	345	2	problem	problem	NOUN
ejpam-3834	345	3	of	of	ADP
ejpam-3834	345	4	moment	moment	NOUN
ejpam-3834	345	5	,	,	PUNCT
ejpam-3834	345	6	mathematical	mathematical	ADJ
ejpam-3834	345	7	surveys	survey	NOUN
ejpam-3834	345	8	and	and	CCONJ
ejpam-3834	345	9	monographs	monograph	NOUN
ejpam-3834	345	10	.	.	PUNCT
ejpam-3834	346	1	american	american	ADJ
ejpam-3834	346	2	society	society	NOUN
ejpam-3834	346	3	of	of	ADP
ejpam-3834	346	4	mathematics	mathematics	PROPN
ejpam-3834	346	5	(	(	PUNCT
ejpam-3834	346	6	re	re	VERB
ejpam-3834	346	7	-	-	VERB
ejpam-3834	346	8	edited	edit	VERB
ejpam-3834	346	9	in	in	ADP
ejpam-3834	346	10	1950	1950	NUM
ejpam-3834	346	11	,	,	PUNCT
ejpam-3834	346	12	1963	1963	NUM
ejpam-3834	346	13	and	and	CCONJ
ejpam-3834	346	14	1970	1970	NUM
ejpam-3834	346	15	)	)	PUNCT
ejpam-3834	346	16	,	,	PUNCT
ejpam-3834	346	17	1943	1943	NUM
ejpam-3834	346	18	.	.	PUNCT
ejpam-3834	347	1	[	[	X
ejpam-3834	347	2	14	14	NUM
ejpam-3834	347	3	]	]	X
ejpam-3834	347	4	g.r	g.r	PROPN
ejpam-3834	347	5	.	.	PROPN
ejpam-3834	347	6	shorack	shorack	PROPN
ejpam-3834	347	7	and	and	CCONJ
ejpam-3834	347	8	j.a	j.a	PROPN
ejpam-3834	347	9	.	.	PROPN
ejpam-3834	347	10	wellner	wellner	NOUN
ejpam-3834	347	11	.	.	PUNCT
ejpam-3834	348	1	empirical	empirical	ADJ
ejpam-3834	348	2	processes	process	NOUN
ejpam-3834	348	3	with	with	ADP
ejpam-3834	348	4	applications	application	NOUN
ejpam-3834	348	5	to	to	ADP
ejpam-3834	348	6	statistics	statistic	NOUN
ejpam-3834	348	7	.	.	PUNCT
ejpam-3834	349	1	wiley	wiley	PROPN
ejpam-3834	349	2	-	-	PUNCT
ejpam-3834	349	3	interscience	interscience	PROPN
ejpam-3834	349	4	,	,	PUNCT
ejpam-3834	349	5	new	new	ADJ
ejpam-3834	349	6	-	-	PUNCT
ejpam-3834	349	7	york	york	NOUN
ejpam-3834	349	8	,	,	PUNCT
ejpam-3834	349	9	1986	1986	NUM
ejpam-3834	349	10	.	.	PUNCT
ejpam-3834	350	1	[	[	X
ejpam-3834	350	2	15	15	NUM
ejpam-3834	350	3	]	]	X
ejpam-3834	350	4	h.	h.	PROPN
ejpam-3834	350	5	zeghdoudi	zeghdoudi	PROPN
ejpam-3834	350	6	and	and	CCONJ
ejpam-3834	350	7	s.	s.	PROPN
ejpam-3834	350	8	nedjar	nedjar	PROPN
ejpam-3834	350	9	.	.	PUNCT
ejpam-3834	351	1	a	a	DET
ejpam-3834	351	2	pseudo	pseudo	NOUN
ejpam-3834	351	3	lindley	lindley	NOUN
ejpam-3834	351	4	-	-	PUNCT
ejpam-3834	351	5	distribution	distribution	NOUN
ejpam-3834	351	6	and	and	CCONJ
ejpam-3834	351	7	its	its	PRON
ejpam-3834	351	8	application	application	NOUN
ejpam-3834	351	9	.	.	PUNCT
ejpam-3834	352	1	afrika	afrika	PROPN
ejpam-3834	352	2	statistika	statistika	PROPN
ejpam-3834	352	3	,	,	PUNCT
ejpam-3834	352	4	doi	doi	NOUN
ejpam-3834	352	5	:	:	PUNCT
ejpam-3834	352	6	http://dx.doi.org/10.16929/as/2016.923.83	http://dx.doi.org/10.16929/as/2016.923.83	PROPN
ejpam-3834	352	7	,	,	PUNCT
ejpam-3834	352	8	11	11	NUM
ejpam-3834	352	9	(	(	PUNCT
ejpam-3834	352	10	1):923–932	1):923–932	NUM
ejpam-3834	352	11	,	,	PUNCT
ejpam-3834	352	12	2016	2016	NUM
ejpam-3834	352	13	.	.	PUNCT