id	sid	tid	token	lemma	pos
ejpam-4662	1	1	european	european	PROPN
ejpam-4662	1	2	journal	journal	PROPN
ejpam-4662	1	3	of	of	ADP
ejpam-4662	1	4	pure	pure	ADJ
ejpam-4662	1	5	and	and	CCONJ
ejpam-4662	1	6	applied	apply	VERB
ejpam-4662	1	7	mathematics	mathematic	NOUN
ejpam-4662	1	8	vol	vol	NOUN
ejpam-4662	1	9	.	.	PUNCT
ejpam-4662	2	1	16	16	NUM
ejpam-4662	2	2	,	,	PUNCT
ejpam-4662	2	3	no	no	INTJ
ejpam-4662	2	4	.	.	NOUN
ejpam-4662	2	5	1	1	NUM
ejpam-4662	2	6	,	,	PUNCT
ejpam-4662	2	7	2023	2023	NUM
ejpam-4662	2	8	,	,	PUNCT
ejpam-4662	2	9	609	609	NUM
ejpam-4662	2	10	-	-	SYM
ejpam-4662	2	11	656	656	NUM
ejpam-4662	2	12	issn	issn	PROPN
ejpam-4662	2	13	1307	1307	NUM
ejpam-4662	2	14	-	-	SYM
ejpam-4662	2	15	5543	5543	NUM
ejpam-4662	2	16	–	–	PUNCT
ejpam-4662	2	17	ejpam.com	ejpam.com	X
ejpam-4662	2	18	published	publish	VERB
ejpam-4662	2	19	by	by	ADP
ejpam-4662	2	20	new	new	PROPN
ejpam-4662	2	21	york	york	PROPN
ejpam-4662	2	22	business	business	PROPN
ejpam-4662	2	23	global	global	ADJ
ejpam-4662	2	24	second	second	ADJ
ejpam-4662	2	25	order	order	NOUN
ejpam-4662	2	26	expansions	expansion	NOUN
ejpam-4662	2	27	for	for	ADP
ejpam-4662	2	28	extreme	extreme	ADJ
ejpam-4662	2	29	quantiles	quantile	NOUN
ejpam-4662	2	30	of	of	ADP
ejpam-4662	2	31	burr	burr	NOUN
ejpam-4662	2	32	distributions	distribution	NOUN
ejpam-4662	2	33	and	and	CCONJ
ejpam-4662	2	34	asymptotic	asymptotic	ADJ
ejpam-4662	2	35	theory	theory	NOUN
ejpam-4662	2	36	of	of	ADP
ejpam-4662	2	37	record	record	NOUN
ejpam-4662	2	38	values	value	NOUN
ejpam-4662	2	39	moumouni	moumouni	PROPN
ejpam-4662	2	40	diallo1,2,6	diallo1,2,6	PROPN
ejpam-4662	2	41	,	,	PUNCT
ejpam-4662	2	42	modou	modou	PROPN
ejpam-4662	2	43	ngom2,6	ngom2,6	PROPN
ejpam-4662	2	44	,	,	PUNCT
ejpam-4662	2	45	soumaila	soumaila	ADJ
ejpam-4662	2	46	dembele3,2,6,∗	dembele3,2,6,∗	PROPN
ejpam-4662	2	47	,	,	PUNCT
ejpam-4662	2	48	gane	gane	NOUN
ejpam-4662	2	49	samb	samb	NOUN
ejpam-4662	2	50	lo2,4,5,6	lo2,4,5,6	NOUN
ejpam-4662	2	51	1	1	NUM
ejpam-4662	2	52	université	université	NOUN
ejpam-4662	2	53	des	des	X
ejpam-4662	2	54	sciences	sciences	PROPN
ejpam-4662	2	55	sociales	sociales	PROPN
ejpam-4662	2	56	et	et	PROPN
ejpam-4662	2	57	sciences	sciences	PROPN
ejpam-4662	2	58	de	de	X
ejpam-4662	2	59	gestion	gestion	X
ejpam-4662	2	60	de	de	X
ejpam-4662	2	61	bamako	bamako	PROPN
ejpam-4662	2	62	(	(	PUNCT
ejpam-4662	2	63	ussg	ussg	NOUN
ejpam-4662	2	64	-	-	PUNCT
ejpam-4662	2	65	b	b	NOUN
ejpam-4662	2	66	)	)	PUNCT
ejpam-4662	2	67	,	,	PUNCT
ejpam-4662	2	68	mali	mali	PROPN
ejpam-4662	2	69	2lerstad	2lerstad	NUM
ejpam-4662	2	70	,	,	PUNCT
ejpam-4662	2	71	gaston	gaston	PROPN
ejpam-4662	2	72	berger	berger	PROPN
ejpam-4662	2	73	university	university	PROPN
ejpam-4662	2	74	,	,	PUNCT
ejpam-4662	2	75	saint	saint	NOUN
ejpam-4662	2	76	-	-	PUNCT
ejpam-4662	2	77	louis	louis	NOUN
ejpam-4662	2	78	,	,	PUNCT
ejpam-4662	2	79	sénégal	sénégal	ADJ
ejpam-4662	2	80	.	.	PUNCT
ejpam-4662	3	1	3	3	NUM
ejpam-4662	3	2	université	université	NOUN
ejpam-4662	3	3	des	des	X
ejpam-4662	3	4	sciences	sciences	PROPN
ejpam-4662	3	5	sociales	sociales	PROPN
ejpam-4662	3	6	et	et	PROPN
ejpam-4662	3	7	sciences	sciences	PROPN
ejpam-4662	3	8	de	de	X
ejpam-4662	3	9	gestion	gestion	X
ejpam-4662	3	10	de	de	X
ejpam-4662	3	11	bamako	bamako	PROPN
ejpam-4662	3	12	(	(	PUNCT
ejpam-4662	3	13	ussg	ussg	NOUN
ejpam-4662	3	14	-	-	PUNCT
ejpam-4662	3	15	b	b	NOUN
ejpam-4662	3	16	)	)	PUNCT
ejpam-4662	3	17	,	,	PUNCT
ejpam-4662	3	18	mali	mali	PROPN
ejpam-4662	3	19	4	4	NUM
ejpam-4662	3	20	department	department	NOUN
ejpam-4662	3	21	of	of	ADP
ejpam-4662	3	22	pure	pure	ADJ
ejpam-4662	3	23	and	and	CCONJ
ejpam-4662	3	24	applied	applied	ADJ
ejpam-4662	3	25	mathematics	mathematic	NOUN
ejpam-4662	3	26	,	,	PUNCT
ejpam-4662	3	27	african	african	ADJ
ejpam-4662	3	28	university	university	PROPN
ejpam-4662	3	29	of	of	ADP
ejpam-4662	3	30	science	science	NOUN
ejpam-4662	3	31	and	and	CCONJ
ejpam-4662	3	32	technology	technology	NOUN
ejpam-4662	3	33	,	,	PUNCT
ejpam-4662	3	34	abuja	abuja	PROPN
ejpam-4662	3	35	,	,	PUNCT
ejpam-4662	3	36	nigeria	nigeria	PROPN
ejpam-4662	3	37	,	,	PUNCT
ejpam-4662	3	38	5	5	NUM
ejpam-4662	3	39	lsta	lsta	ADJ
ejpam-4662	3	40	,	,	PUNCT
ejpam-4662	3	41	pierre	pierre	NOUN
ejpam-4662	3	42	and	and	CCONJ
ejpam-4662	3	43	marie	marie	PROPN
ejpam-4662	3	44	curie	curie	PROPN
ejpam-4662	3	45	university	university	PROPN
ejpam-4662	3	46	,	,	PUNCT
ejpam-4662	3	47	paris	paris	PROPN
ejpam-4662	3	48	vi	vi	PROPN
ejpam-4662	3	49	,	,	PUNCT
ejpam-4662	3	50	france	france	PROPN
ejpam-4662	3	51	6	6	NUM
ejpam-4662	3	52	imhotep	imhotep	NOUN
ejpam-4662	3	53	mathematical	mathematical	ADJ
ejpam-4662	3	54	center	center	NOUN
ejpam-4662	3	55	(	(	PUNCT
ejpam-4662	3	56	imc	imc	PROPN
ejpam-4662	3	57	)	)	PUNCT
ejpam-4662	3	58	abstract	abstract	NOUN
ejpam-4662	3	59	.	.	PUNCT
ejpam-4662	4	1	in	in	ADP
ejpam-4662	4	2	this	this	DET
ejpam-4662	4	3	paper	paper	NOUN
ejpam-4662	4	4	we	we	PRON
ejpam-4662	4	5	investigate	investigate	VERB
ejpam-4662	4	6	the	the	DET
ejpam-4662	4	7	burr	burr	NOUN
ejpam-4662	4	8	distributions	distribution	NOUN
ejpam-4662	4	9	family	family	NOUN
ejpam-4662	4	10	which	which	PRON
ejpam-4662	4	11	contains	contain	VERB
ejpam-4662	4	12	twelve	twelve	NUM
ejpam-4662	4	13	members	member	NOUN
ejpam-4662	4	14	.	.	PUNCT
ejpam-4662	5	1	second	second	ADJ
ejpam-4662	5	2	order	order	NOUN
ejpam-4662	5	3	expansions	expansion	NOUN
ejpam-4662	5	4	of	of	ADP
ejpam-4662	5	5	quantiles	quantile	NOUN
ejpam-4662	5	6	of	of	ADP
ejpam-4662	5	7	the	the	DET
ejpam-4662	5	8	burr	burr	NOUN
ejpam-4662	5	9	’s	’s	PART
ejpam-4662	5	10	distributions	distribution	NOUN
ejpam-4662	5	11	are	be	AUX
ejpam-4662	5	12	provided	provide	VERB
ejpam-4662	5	13	on	on	ADP
ejpam-4662	5	14	which	which	PRON
ejpam-4662	5	15	may	may	AUX
ejpam-4662	5	16	be	be	AUX
ejpam-4662	5	17	based	base	VERB
ejpam-4662	5	18	statistical	statistical	ADJ
ejpam-4662	5	19	methods	method	NOUN
ejpam-4662	5	20	,	,	PUNCT
ejpam-4662	5	21	in	in	ADP
ejpam-4662	5	22	particular	particular	ADJ
ejpam-4662	5	23	in	in	ADP
ejpam-4662	5	24	extreme	extreme	ADJ
ejpam-4662	5	25	value	value	NOUN
ejpam-4662	5	26	theory	theory	NOUN
ejpam-4662	5	27	.	.	PUNCT
ejpam-4662	6	1	beyond	beyond	ADP
ejpam-4662	6	2	the	the	DET
ejpam-4662	6	3	proper	proper	ADJ
ejpam-4662	6	4	interest	interest	NOUN
ejpam-4662	6	5	of	of	ADP
ejpam-4662	6	6	these	these	DET
ejpam-4662	6	7	expansions	expansion	NOUN
ejpam-4662	6	8	,	,	PUNCT
ejpam-4662	6	9	we	we	PRON
ejpam-4662	6	10	apply	apply	VERB
ejpam-4662	6	11	them	they	PRON
ejpam-4662	6	12	to	to	PART
ejpam-4662	6	13	characterize	characterize	VERB
ejpam-4662	6	14	the	the	DET
ejpam-4662	6	15	asymptotic	asymptotic	ADJ
ejpam-4662	6	16	laws	law	NOUN
ejpam-4662	6	17	of	of	ADP
ejpam-4662	6	18	their	their	PRON
ejpam-4662	6	19	records	record	NOUN
ejpam-4662	6	20	of	of	ADP
ejpam-4662	6	21	burr	burr	NOUN
ejpam-4662	6	22	’s	’s	PART
ejpam-4662	6	23	distributions	distribution	NOUN
ejpam-4662	6	24	,	,	PUNCT
ejpam-4662	6	25	lead	lead	VERB
ejpam-4662	6	26	to	to	ADP
ejpam-4662	6	27	new	new	ADJ
ejpam-4662	6	28	statistical	statistical	ADJ
ejpam-4662	6	29	tests	test	NOUN
ejpam-4662	6	30	.	.	PUNCT
ejpam-4662	7	1	2020	2020	NUM
ejpam-4662	7	2	mathematics	mathematic	NOUN
ejpam-4662	7	3	subject	subject	NOUN
ejpam-4662	7	4	classifications	classification	NOUN
ejpam-4662	7	5	:	:	PUNCT
ejpam-4662	7	6	a2g30	a2g30	NOUN
ejpam-4662	7	7	,	,	PUNCT
ejpam-4662	7	8	60fxx	60fxx	ADJ
ejpam-4662	7	9	key	key	ADJ
ejpam-4662	7	10	words	word	NOUN
ejpam-4662	7	11	and	and	CCONJ
ejpam-4662	7	12	phrases	phrase	NOUN
ejpam-4662	7	13	:	:	PUNCT
ejpam-4662	7	14	burr	burr	NOUN
ejpam-4662	7	15	distribution	distribution	NOUN
ejpam-4662	7	16	,	,	PUNCT
ejpam-4662	7	17	quantile	quantile	ADJ
ejpam-4662	7	18	expansion	expansion	NOUN
ejpam-4662	7	19	,	,	PUNCT
ejpam-4662	7	20	record	record	NOUN
ejpam-4662	7	21	values	value	NOUN
ejpam-4662	7	22	,	,	PUNCT
ejpam-4662	7	23	records	record	NOUN
ejpam-4662	7	24	times	time	NOUN
ejpam-4662	7	25	,	,	PUNCT
ejpam-4662	7	26	extreme	extreme	ADJ
ejpam-4662	7	27	value	value	NOUN
ejpam-4662	7	28	theory	theory	NOUN
ejpam-4662	7	29	,	,	PUNCT
ejpam-4662	7	30	gaussian	gaussian	ADJ
ejpam-4662	7	31	asymptotic	asymptotic	ADJ
ejpam-4662	7	32	laws	law	NOUN
ejpam-4662	7	33	1	1	NUM
ejpam-4662	7	34	.	.	PUNCT
ejpam-4662	7	35	introduction	introduction	NOUN
ejpam-4662	7	36	this	this	DET
ejpam-4662	7	37	papers	paper	NOUN
ejpam-4662	7	38	deals	deal	NOUN
ejpam-4662	7	39	of	of	ADP
ejpam-4662	7	40	asymptotic	asymptotic	ADJ
ejpam-4662	7	41	laws	law	NOUN
ejpam-4662	7	42	of	of	ADP
ejpam-4662	7	43	records	record	NOUN
ejpam-4662	7	44	values	value	NOUN
ejpam-4662	7	45	,	,	PUNCT
ejpam-4662	7	46	extreme	extreme	ADJ
ejpam-4662	7	47	value	value	NOUN
ejpam-4662	7	48	theory	theory	NOUN
ejpam-4662	7	49	when	when	SCONJ
ejpam-4662	7	50	applied	apply	VERB
ejpam-4662	7	51	to	to	ADP
ejpam-4662	7	52	the	the	DET
ejpam-4662	7	53	important	important	ADJ
ejpam-4662	7	54	family	family	NOUN
ejpam-4662	7	55	of	of	ADP
ejpam-4662	7	56	burr	burr	NOUN
ejpam-4662	7	57	distributions	distribution	NOUN
ejpam-4662	7	58	(	(	PUNCT
ejpam-4662	7	59	[	[	X
ejpam-4662	7	60	7	7	NUM
ejpam-4662	7	61	]	]	PUNCT
ejpam-4662	7	62	,	,	PUNCT
ejpam-4662	7	63	[	[	X
ejpam-4662	7	64	8	8	NUM
ejpam-4662	7	65	]	]	PUNCT
ejpam-4662	7	66	and	and	CCONJ
ejpam-4662	7	67	[	[	X
ejpam-4662	7	68	9	9	NUM
ejpam-4662	7	69	]	]	PUNCT
ejpam-4662	7	70	)	)	PUNCT
ejpam-4662	7	71	.	.	PUNCT
ejpam-4662	8	1	let	let	VERB
ejpam-4662	8	2	us	we	PRON
ejpam-4662	8	3	introduce	introduce	VERB
ejpam-4662	8	4	to	to	ADP
ejpam-4662	8	5	each	each	PRON
ejpam-4662	8	6	of	of	ADP
ejpam-4662	8	7	these	these	DET
ejpam-4662	8	8	three	three	NUM
ejpam-4662	8	9	elements	element	NOUN
ejpam-4662	8	10	of	of	ADP
ejpam-4662	8	11	the	the	DET
ejpam-4662	8	12	paper	paper	NOUN
ejpam-4662	8	13	.	.	PUNCT
ejpam-4662	9	1	records	record	NOUN
ejpam-4662	9	2	theory	theory	NOUN
ejpam-4662	9	3	.	.	PUNCT
ejpam-4662	10	1	the	the	DET
ejpam-4662	10	2	notion	notion	NOUN
ejpam-4662	10	3	of	of	ADP
ejpam-4662	10	4	records	record	NOUN
ejpam-4662	10	5	is	be	AUX
ejpam-4662	10	6	present	present	ADJ
ejpam-4662	10	7	in	in	ADP
ejpam-4662	10	8	real	real	ADJ
ejpam-4662	10	9	life	life	NOUN
ejpam-4662	10	10	at	at	ADP
ejpam-4662	10	11	any	any	DET
ejpam-4662	10	12	corner	corner	NOUN
ejpam-4662	10	13	.	.	PUNCT
ejpam-4662	11	1	it	it	PRON
ejpam-4662	11	2	is	be	AUX
ejpam-4662	11	3	said	say	VERB
ejpam-4662	11	4	that	that	SCONJ
ejpam-4662	11	5	the	the	DET
ejpam-4662	11	6	year	year	NOUN
ejpam-4662	11	7	2021	2021	NUM
ejpam-4662	11	8	is	be	AUX
ejpam-4662	11	9	the	the	DET
ejpam-4662	11	10	hottest	hot	ADJ
ejpam-4662	11	11	one	one	NOUN
ejpam-4662	11	12	in	in	ADP
ejpam-4662	11	13	history	history	NOUN
ejpam-4662	11	14	.	.	PUNCT
ejpam-4662	12	1	in	in	ADP
ejpam-4662	12	2	general	general	ADJ
ejpam-4662	12	3	,	,	PUNCT
ejpam-4662	12	4	records	record	NOUN
ejpam-4662	12	5	of	of	ADP
ejpam-4662	12	6	many	many	ADJ
ejpam-4662	12	7	natural	natural	ADJ
ejpam-4662	12	8	phenomena	phenomenon	NOUN
ejpam-4662	12	9	are	be	AUX
ejpam-4662	12	10	monitored	monitor	VERB
ejpam-4662	12	11	on	on	ADP
ejpam-4662	12	12	a	a	DET
ejpam-4662	12	13	regularly	regularly	ADJ
ejpam-4662	12	14	basis	basis	NOUN
ejpam-4662	12	15	:	:	PUNCT
ejpam-4662	12	16	the	the	DET
ejpam-4662	12	17	coldest	cold	ADJ
ejpam-4662	12	18	or	or	CCONJ
ejpam-4662	12	19	hottest	hot	ADJ
ejpam-4662	12	20	day	day	NOUN
ejpam-4662	12	21	,	,	PUNCT
ejpam-4662	12	22	month	month	NOUN
ejpam-4662	12	23	,	,	PUNCT
ejpam-4662	12	24	year	year	NOUN
ejpam-4662	12	25	,	,	PUNCT
ejpam-4662	12	26	etc	etc	X
ejpam-4662	12	27	,	,	PUNCT
ejpam-4662	12	28	;	;	PUNCT
ejpam-4662	12	29	the	the	DET
ejpam-4662	12	30	rainiest	rainy	ADJ
ejpam-4662	12	31	month	month	NOUN
ejpam-4662	12	32	,	,	PUNCT
ejpam-4662	12	33	year	year	NOUN
ejpam-4662	12	34	,	,	PUNCT
ejpam-4662	12	35	etc	etc	X
ejpam-4662	12	36	.	.	X
ejpam-4662	12	37	;	;	PUNCT
ejpam-4662	12	38	the	the	DET
ejpam-4662	12	39	month	month	NOUN
ejpam-4662	12	40	or	or	CCONJ
ejpam-4662	12	41	year	year	NOUN
ejpam-4662	12	42	with	with	ADP
ejpam-4662	12	43	the	the	DET
ejpam-4662	12	44	greatest	great	ADJ
ejpam-4662	12	45	or	or	CCONJ
ejpam-4662	12	46	smallest	small	ADJ
ejpam-4662	12	47	number	number	NOUN
ejpam-4662	12	48	of	of	ADP
ejpam-4662	12	49	car	car	NOUN
ejpam-4662	12	50	or	or	CCONJ
ejpam-4662	12	51	planes	plane	NOUN
ejpam-4662	12	52	crashes	crash	NOUN
ejpam-4662	12	53	,	,	PUNCT
ejpam-4662	12	54	of	of	ADP
ejpam-4662	12	55	biggest	big	ADJ
ejpam-4662	12	56	or	or	CCONJ
ejpam-4662	12	57	smallest	small	ADJ
ejpam-4662	12	58	gross	gross	ADJ
ejpam-4662	12	59	domestic	domestic	ADJ
ejpam-4662	12	60	product	product	NOUN
ejpam-4662	12	61	(	(	PUNCT
ejpam-4662	12	62	gdp	gdp	NOUN
ejpam-4662	12	63	)	)	PUNCT
ejpam-4662	13	1	[	[	X
ejpam-4662	13	2	four	four	NUM
ejpam-4662	13	3	countries	country	NOUN
ejpam-4662	13	4	]	]	PUNCT
ejpam-4662	13	5	.	.	PUNCT
ejpam-4662	14	1	at	at	ADP
ejpam-4662	14	2	least	least	ADJ
ejpam-4662	14	3	any	any	DET
ejpam-4662	14	4	∗corresponding	∗corresponding	NOUN
ejpam-4662	14	5	author	author	NOUN
ejpam-4662	14	6	.	.	PUNCT
ejpam-4662	15	1	doi	doi	NOUN
ejpam-4662	15	2	:	:	PUNCT
ejpam-4662	15	3	https://doi.org/10.29020/nybg.ejpam.v16i1.4662	https://doi.org/10.29020/nybg.ejpam.v16i1.4662	ADP
ejpam-4662	15	4	email	email	NOUN
ejpam-4662	15	5	addresses	address	NOUN
ejpam-4662	15	6	:	:	PUNCT
ejpam-4662	15	7	moudiallo1@gmail.com	moudiallo1@gmail.com	X
ejpam-4662	15	8	(	(	PUNCT
ejpam-4662	15	9	m.	m.	PROPN
ejpam-4662	15	10	diallo	diallo	PROPN
ejpam-4662	15	11	)	)	PUNCT
ejpam-4662	15	12	,	,	PUNCT
ejpam-4662	15	13	ngom.modou1@ugb.edu.sn	ngom.modou1@ugb.edu.sn	PROPN
ejpam-4662	15	14	(	(	PUNCT
ejpam-4662	15	15	m.	m.	NOUN
ejpam-4662	15	16	ngom	ngom	PROPN
ejpam-4662	15	17	)	)	PUNCT
ejpam-4662	15	18	,	,	PUNCT
ejpam-4662	15	19	dembele.soumaila@ugb.edu.sn	dembele.soumaila@ugb.edu.sn	PROPN
ejpam-4662	15	20	(	(	PUNCT
ejpam-4662	15	21	s.	s.	PROPN
ejpam-4662	15	22	dembele	dembele	PROPN
ejpam-4662	15	23	)	)	PUNCT
ejpam-4662	15	24	,	,	PUNCT
ejpam-4662	15	25	gane-samb.lo@ugb.edu.sn	gane-samb.lo@ugb.edu.sn	PROPN
ejpam-4662	15	26	(	(	PUNCT
ejpam-4662	15	27	g.	g.	PROPN
ejpam-4662	15	28	s.	s.	PROPN
ejpam-4662	15	29	lo	lo	PROPN
ejpam-4662	15	30	)	)	PUNCT
ejpam-4662	15	31	.	.	PUNCT
ejpam-4662	16	1	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4662	17	1	609	609	NUM
ejpam-4662	17	2	©	©	PROPN
ejpam-4662	17	3	2023	2023	NUM
ejpam-4662	17	4	ejpam	ejpam	NOUN
ejpam-4662	17	5	all	all	DET
ejpam-4662	17	6	rights	right	NOUN
ejpam-4662	17	7	reserved	reserve	VERB
ejpam-4662	17	8	.	.	PUNCT
ejpam-4662	18	1	s.	s.	PROPN
ejpam-4662	18	2	dembele	dembele	PROPN
ejpam-4662	18	3	et	et	PROPN
ejpam-4662	18	4	al	al	PROPN
ejpam-4662	18	5	.	.	PUNCT
ejpam-4662	18	6	/	/	SYM
ejpam-4662	18	7	eur	eur	PROPN
ejpam-4662	18	8	.	.	PUNCT
ejpam-4662	19	1	j.	j.	PROPN
ejpam-4662	19	2	pure	pure	PROPN
ejpam-4662	19	3	appl	appl	PROPN
ejpam-4662	19	4	.	.	PROPN
ejpam-4662	19	5	math	math	PROPN
ejpam-4662	19	6	,	,	PUNCT
ejpam-4662	19	7	16	16	NUM
ejpam-4662	19	8	(	(	PUNCT
ejpam-4662	19	9	1	1	NUM
ejpam-4662	19	10	)	)	PUNCT
ejpam-4662	19	11	(	(	PUNCT
ejpam-4662	19	12	2023	2023	NUM
ejpam-4662	19	13	)	)	PUNCT
ejpam-4662	19	14	,	,	PUNCT
ejpam-4662	19	15	609	609	NUM
ejpam-4662	19	16	-	-	SYM
ejpam-4662	19	17	656	656	NUM
ejpam-4662	19	18	610	610	NUM
ejpam-4662	19	19	superlative	superlative	NOUN
ejpam-4662	19	20	corresponds	correspond	NOUN
ejpam-4662	19	21	to	to	ADP
ejpam-4662	19	22	a	a	DET
ejpam-4662	19	23	record	record	NOUN
ejpam-4662	19	24	(	(	PUNCT
ejpam-4662	19	25	lower	low	ADJ
ejpam-4662	19	26	record	record	NOUN
ejpam-4662	19	27	for	for	ADP
ejpam-4662	19	28	positive	positive	ADJ
ejpam-4662	19	29	superlatives	superlative	NOUN
ejpam-4662	19	30	,	,	PUNCT
ejpam-4662	19	31	upper	upper	ADJ
ejpam-4662	19	32	record	record	NOUN
ejpam-4662	19	33	for	for	ADP
ejpam-4662	19	34	naive	naive	ADJ
ejpam-4662	19	35	ones	one	NOUN
ejpam-4662	19	36	)	)	PUNCT
ejpam-4662	19	37	.	.	PUNCT
ejpam-4662	20	1	generally	generally	ADV
ejpam-4662	20	2	,	,	PUNCT
ejpam-4662	20	3	records	record	NOUN
ejpam-4662	20	4	are	be	AUX
ejpam-4662	20	5	associated	associate	VERB
ejpam-4662	20	6	to	to	ADP
ejpam-4662	20	7	catastrophes	catastrophe	NOUN
ejpam-4662	20	8	or	or	CCONJ
ejpam-4662	20	9	to	to	ADP
ejpam-4662	20	10	big	big	ADJ
ejpam-4662	20	11	successes	success	NOUN
ejpam-4662	20	12	.	.	PUNCT
ejpam-4662	21	1	sports	sport	NOUN
ejpam-4662	21	2	is	be	AUX
ejpam-4662	21	3	punctuated	punctuate	VERB
ejpam-4662	21	4	by	by	ADP
ejpam-4662	21	5	beaten	beat	VERB
ejpam-4662	21	6	records	record	NOUN
ejpam-4662	21	7	,	,	PUNCT
ejpam-4662	21	8	in	in	ADP
ejpam-4662	21	9	olympic	olympic	ADJ
ejpam-4662	21	10	games	game	NOUN
ejpam-4662	21	11	,	,	PUNCT
ejpam-4662	21	12	world	world	NOUN
ejpam-4662	21	13	championships	championship	NOUN
ejpam-4662	21	14	.	.	PUNCT
ejpam-4662	22	1	for	for	ADP
ejpam-4662	22	2	example	example	NOUN
ejpam-4662	22	3	,	,	PUNCT
ejpam-4662	22	4	the	the	DET
ejpam-4662	22	5	(	(	PUNCT
ejpam-4662	22	6	lower	low	ADJ
ejpam-4662	22	7	records	record	NOUN
ejpam-4662	22	8	)	)	PUNCT
ejpam-4662	22	9	of	of	ADP
ejpam-4662	22	10	100	100	NUM
ejpam-4662	22	11	m	m	NOUN
ejpam-4662	22	12	in	in	ADP
ejpam-4662	22	13	athletics	athletic	NOUN
ejpam-4662	22	14	is	be	AUX
ejpam-4662	22	15	particularly	particularly	ADV
ejpam-4662	22	16	followed	follow	VERB
ejpam-4662	22	17	.	.	PUNCT
ejpam-4662	23	1	fr	fr	PROPN
ejpam-4662	23	2	upper	upper	ADJ
ejpam-4662	23	3	records	record	NOUN
ejpam-4662	23	4	in	in	ADP
ejpam-4662	23	5	sports	sport	NOUN
ejpam-4662	23	6	,	,	PUNCT
ejpam-4662	23	7	we	we	PRON
ejpam-4662	23	8	can	can	AUX
ejpam-4662	23	9	cite	cite	VERB
ejpam-4662	23	10	the	the	DET
ejpam-4662	23	11	upper	upper	ADJ
ejpam-4662	23	12	apnea	apnea	NOUN
ejpam-4662	23	13	record	record	NOUN
ejpam-4662	23	14	(	(	PUNCT
ejpam-4662	23	15	time	time	NOUN
ejpam-4662	23	16	spent	spend	VERB
ejpam-4662	23	17	under	under	ADP
ejpam-4662	23	18	water	water	NOUN
ejpam-4662	23	19	)	)	PUNCT
ejpam-4662	23	20	.	.	PUNCT
ejpam-4662	24	1	so	so	ADV
ejpam-4662	24	2	,	,	PUNCT
ejpam-4662	24	3	the	the	DET
ejpam-4662	24	4	notion	notion	NOUN
ejpam-4662	24	5	of	of	ADP
ejpam-4662	24	6	record	record	NOUN
ejpam-4662	24	7	is	be	AUX
ejpam-4662	24	8	extremely	extremely	ADV
ejpam-4662	24	9	present	present	ADJ
ejpam-4662	24	10	in	in	ADP
ejpam-4662	24	11	real	real	ADJ
ejpam-4662	24	12	file	file	NOUN
ejpam-4662	24	13	and	and	CCONJ
ejpam-4662	24	14	it	it	PRON
ejpam-4662	24	15	’s	’	VERB
ejpam-4662	24	16	modeling	modeling	NOUN
ejpam-4662	24	17	is	be	AUX
ejpam-4662	24	18	highly	highly	ADV
ejpam-4662	24	19	valuable	valuable	ADJ
ejpam-4662	24	20	.	.	PUNCT
ejpam-4662	25	1	univariate	univariate	ADJ
ejpam-4662	25	2	extreme	extreme	ADJ
ejpam-4662	25	3	value	value	NOUN
ejpam-4662	25	4	theory	theory	NOUN
ejpam-4662	25	5	(	(	PUNCT
ejpam-4662	25	6	uevt	uevt	PROPN
ejpam-4662	25	7	)	)	PUNCT
ejpam-4662	25	8	.	.	PUNCT
ejpam-4662	26	1	that	that	DET
ejpam-4662	26	2	theory	theory	NOUN
ejpam-4662	26	3	is	be	AUX
ejpam-4662	26	4	strongly	strongly	ADV
ejpam-4662	26	5	connected	connect	VERB
ejpam-4662	26	6	to	to	ADP
ejpam-4662	26	7	records	record	NOUN
ejpam-4662	26	8	theory	theory	NOUN
ejpam-4662	26	9	.	.	PUNCT
ejpam-4662	27	1	given	give	VERB
ejpam-4662	27	2	a	a	DET
ejpam-4662	27	3	series	series	NOUN
ejpam-4662	27	4	of	of	ADP
ejpam-4662	27	5	data	datum	NOUN
ejpam-4662	27	6	(	(	PUNCT
ejpam-4662	27	7	xj)j≥1	xj)j≥1	PROPN
ejpam-4662	27	8	,	,	PUNCT
ejpam-4662	27	9	the	the	DET
ejpam-4662	27	10	uevt	uevt	NOUN
ejpam-4662	27	11	mainly	mainly	ADV
ejpam-4662	27	12	studies	study	VERB
ejpam-4662	27	13	the	the	DET
ejpam-4662	27	14	behavior	behavior	NOUN
ejpam-4662	27	15	of	of	ADP
ejpam-4662	27	16	the	the	DET
ejpam-4662	27	17	partial	partial	ADJ
ejpam-4662	27	18	maxima	maxima	NOUN
ejpam-4662	27	19	mn	mn	NOUN
ejpam-4662	27	20	=	=	PROPN
ejpam-4662	27	21	max(x1	max(x1	PROPN
ejpam-4662	27	22	,	,	PUNCT
ejpam-4662	27	23	·	·	PUNCT
ejpam-4662	27	24	·	·	PUNCT
ejpam-4662	27	25	·	·	PUNCT
ejpam-4662	27	26	,	,	PUNCT
ejpam-4662	27	27	xn	xn	PROPN
ejpam-4662	27	28	)	)	PUNCT
ejpam-4662	27	29	,	,	PUNCT
ejpam-4662	27	30	n	n	PRON
ejpam-4662	27	31	≥	≥	NOUN
ejpam-4662	27	32	1	1	NUM
ejpam-4662	27	33	.	.	PUNCT
ejpam-4662	28	1	of	of	ADP
ejpam-4662	28	2	course	course	NOUN
ejpam-4662	28	3	,	,	PUNCT
ejpam-4662	28	4	each	each	DET
ejpam-4662	28	5	mn+1	mn+1	NOUN
ejpam-4662	28	6	is	be	AUX
ejpam-4662	28	7	a	a	DET
ejpam-4662	28	8	strong	strong	ADJ
ejpam-4662	28	9	upper	upper	ADJ
ejpam-4662	28	10	record	record	NOUN
ejpam-4662	28	11	value	value	NOUN
ejpam-4662	28	12	if	if	SCONJ
ejpam-4662	28	13	and	and	CCONJ
ejpam-4662	28	14	only	only	ADV
ejpam-4662	28	15	if	if	SCONJ
ejpam-4662	28	16	it	it	PRON
ejpam-4662	28	17	exceeds	exceed	VERB
ejpam-4662	28	18	the	the	DET
ejpam-4662	28	19	preceding	precede	VERB
ejpam-4662	28	20	one	one	NUM
ejpam-4662	28	21	,	,	PUNCT
ejpam-4662	28	22	that	that	PRON
ejpam-4662	28	23	is	is	ADV
ejpam-4662	28	24	mn+1	mn+1	PROPN
ejpam-4662	28	25	>	>	X
ejpam-4662	28	26	mn	mn	PROPN
ejpam-4662	28	27	.	.	PUNCT
ejpam-4662	29	1	the	the	DET
ejpam-4662	29	2	importance	importance	NOUN
ejpam-4662	29	3	of	of	ADP
ejpam-4662	29	4	uevt	uevt	NOUN
ejpam-4662	29	5	resides	reside	VERB
ejpam-4662	29	6	in	in	ADP
ejpam-4662	29	7	the	the	DET
ejpam-4662	29	8	following	following	ADJ
ejpam-4662	29	9	paradox	paradox	NOUN
ejpam-4662	29	10	.	.	PUNCT
ejpam-4662	30	1	it	it	PRON
ejpam-4662	30	2	happens	happen	VERB
ejpam-4662	30	3	that	that	SCONJ
ejpam-4662	30	4	some	some	DET
ejpam-4662	30	5	extreme	extreme	ADJ
ejpam-4662	30	6	events	event	NOUN
ejpam-4662	30	7	,	,	PUNCT
ejpam-4662	30	8	for	for	ADP
ejpam-4662	30	9	example	example	NOUN
ejpam-4662	30	10	p	p	X
ejpam-4662	30	11	=	=	PUNCT
ejpam-4662	30	12	p(x	p(x	PROPN
ejpam-4662	30	13	>	>	PUNCT
ejpam-4662	30	14	x	x	NOUN
ejpam-4662	30	15	)	)	PUNCT
ejpam-4662	30	16	for	for	ADP
ejpam-4662	30	17	large	large	ADJ
ejpam-4662	30	18	values	value	NOUN
ejpam-4662	30	19	of	of	ADP
ejpam-4662	30	20	x	x	NOUN
ejpam-4662	30	21	,	,	PUNCT
ejpam-4662	30	22	are	be	AUX
ejpam-4662	30	23	not	not	PART
ejpam-4662	30	24	observed	observe	VERB
ejpam-4662	30	25	in	in	ADP
ejpam-4662	30	26	samples	sample	NOUN
ejpam-4662	30	27	and	and	CCONJ
ejpam-4662	30	28	so	so	ADV
ejpam-4662	30	29	,	,	PUNCT
ejpam-4662	30	30	any	any	DET
ejpam-4662	30	31	plug	plug	VERB
ejpam-4662	30	32	-	-	PUNCT
ejpam-4662	30	33	in	in	ADP
ejpam-4662	30	34	estimator	estimator	NOUN
ejpam-4662	30	35	is	be	AUX
ejpam-4662	30	36	exactly	exactly	ADV
ejpam-4662	30	37	zero	zero	NUM
ejpam-4662	30	38	.	.	PUNCT
ejpam-4662	31	1	in	in	ADP
ejpam-4662	31	2	that	that	DET
ejpam-4662	31	3	context	context	NOUN
ejpam-4662	31	4	,	,	PUNCT
ejpam-4662	31	5	how	how	SCONJ
ejpam-4662	31	6	can	can	AUX
ejpam-4662	31	7	we	we	PRON
ejpam-4662	31	8	estimate	estimate	VERB
ejpam-4662	31	9	the	the	DET
ejpam-4662	31	10	probability	probability	NOUN
ejpam-4662	31	11	of	of	ADP
ejpam-4662	31	12	occurrence	occurrence	NOUN
ejpam-4662	31	13	of	of	ADP
ejpam-4662	31	14	such	such	ADJ
ejpam-4662	31	15	events	event	NOUN
ejpam-4662	31	16	.	.	PUNCT
ejpam-4662	32	1	the	the	DET
ejpam-4662	32	2	probability	probability	NOUN
ejpam-4662	32	3	is	be	AUX
ejpam-4662	32	4	usually	usually	ADV
ejpam-4662	32	5	given	give	VERB
ejpam-4662	32	6	in	in	ADP
ejpam-4662	32	7	the	the	DET
ejpam-4662	32	8	form	form	NOUN
ejpam-4662	32	9	1	1	NUM
ejpam-4662	32	10	/	/	SYM
ejpam-4662	32	11	t	t	NOUN
ejpam-4662	32	12	,	,	PUNCT
ejpam-4662	32	13	where	where	SCONJ
ejpam-4662	32	14	t	t	PROPN
ejpam-4662	32	15	is	be	AUX
ejpam-4662	32	16	defined	define	VERB
ejpam-4662	32	17	as	as	SCONJ
ejpam-4662	32	18	the	the	DET
ejpam-4662	32	19	temps	temp	NOUN
ejpam-4662	32	20	needed	need	VERB
ejpam-4662	32	21	to	to	PART
ejpam-4662	32	22	see	see	VERB
ejpam-4662	32	23	a	a	DET
ejpam-4662	32	24	new	new	ADJ
ejpam-4662	32	25	occurrence	occurrence	NOUN
ejpam-4662	32	26	of	of	ADP
ejpam-4662	32	27	the	the	DET
ejpam-4662	32	28	event	event	NOUN
ejpam-4662	32	29	of	of	ADP
ejpam-4662	32	30	exceedance	exceedance	NOUN
ejpam-4662	32	31	of	of	ADP
ejpam-4662	32	32	x.	x.	NOUN
ejpam-4662	32	33	for	for	ADP
ejpam-4662	32	34	large	large	ADJ
ejpam-4662	32	35	values	value	NOUN
ejpam-4662	32	36	of	of	ADP
ejpam-4662	32	37	x	x	PRON
ejpam-4662	32	38	,	,	PUNCT
ejpam-4662	32	39	t	t	PROPN
ejpam-4662	32	40	is	be	AUX
ejpam-4662	32	41	counted	count	VERB
ejpam-4662	32	42	in	in	ADP
ejpam-4662	32	43	thousands	thousand	NOUN
ejpam-4662	32	44	or	or	CCONJ
ejpam-4662	32	45	more	more	ADJ
ejpam-4662	32	46	.	.	PUNCT
ejpam-4662	33	1	in	in	ADP
ejpam-4662	33	2	conclusion	conclusion	NOUN
ejpam-4662	33	3	,	,	PUNCT
ejpam-4662	33	4	the	the	DET
ejpam-4662	33	5	uevt	uevt	NOUN
ejpam-4662	33	6	is	be	AUX
ejpam-4662	33	7	the	the	DET
ejpam-4662	33	8	theory	theory	NOUN
ejpam-4662	33	9	of	of	ADP
ejpam-4662	33	10	rare	rare	ADJ
ejpam-4662	33	11	events	event	NOUN
ejpam-4662	33	12	.	.	PUNCT
ejpam-4662	34	1	it	it	PRON
ejpam-4662	34	2	’s	’	VERB
ejpam-4662	34	3	applications	application	NOUN
ejpam-4662	34	4	are	be	AUX
ejpam-4662	34	5	countless	countless	ADJ
ejpam-4662	34	6	and	and	CCONJ
ejpam-4662	34	7	very	very	ADV
ejpam-4662	34	8	important	important	ADJ
ejpam-4662	34	9	to	to	PART
ejpam-4662	34	10	circumvent	circumvent	VERB
ejpam-4662	34	11	catastrophes	catastrophe	NOUN
ejpam-4662	34	12	.	.	PUNCT
ejpam-4662	35	1	as	as	SCONJ
ejpam-4662	35	2	expected	expect	VERB
ejpam-4662	35	3	,	,	PUNCT
ejpam-4662	35	4	the	the	DET
ejpam-4662	35	5	asymptotic	asymptotic	ADJ
ejpam-4662	35	6	law	law	NOUN
ejpam-4662	35	7	of	of	ADP
ejpam-4662	35	8	records	record	NOUN
ejpam-4662	35	9	values	value	NOUN
ejpam-4662	35	10	is	be	AUX
ejpam-4662	35	11	strongly	strongly	ADV
ejpam-4662	35	12	influenced	influence	VERB
ejpam-4662	35	13	by	by	ADP
ejpam-4662	35	14	the	the	DET
ejpam-4662	35	15	asymptotic	asymptotic	ADJ
ejpam-4662	35	16	behavior	behavior	NOUN
ejpam-4662	35	17	of	of	ADP
ejpam-4662	35	18	the	the	DET
ejpam-4662	35	19	extreme	extreme	ADJ
ejpam-4662	35	20	value	value	NOUN
ejpam-4662	35	21	.	.	PUNCT
ejpam-4662	36	1	on	on	ADP
ejpam-4662	36	2	that	that	DET
ejpam-4662	36	3	basis	basis	NOUN
ejpam-4662	36	4	,	,	PUNCT
ejpam-4662	36	5	we	we	PRON
ejpam-4662	36	6	will	will	AUX
ejpam-4662	36	7	give	give	VERB
ejpam-4662	36	8	a	a	DET
ejpam-4662	36	9	more	more	ADV
ejpam-4662	36	10	detailed	detailed	ADJ
ejpam-4662	36	11	account	account	NOUN
ejpam-4662	36	12	for	for	ADP
ejpam-4662	36	13	these	these	DET
ejpam-4662	36	14	two	two	NUM
ejpam-4662	36	15	theories	theory	NOUN
ejpam-4662	36	16	but	but	CCONJ
ejpam-4662	36	17	still	still	ADV
ejpam-4662	36	18	concise	concise	ADJ
ejpam-4662	36	19	in	in	ADP
ejpam-4662	36	20	subsections	subsection	NOUN
ejpam-4662	36	21	1.1	1.1	NUM
ejpam-4662	36	22	and	and	CCONJ
ejpam-4662	36	23	1.2	1.2	NUM
ejpam-4662	36	24	,	,	PUNCT
ejpam-4662	36	25	respectively	respectively	ADV
ejpam-4662	36	26	.	.	PUNCT
ejpam-4662	37	1	these	these	DET
ejpam-4662	37	2	two	two	NUM
ejpam-4662	37	3	asymptotic	asymptotic	ADJ
ejpam-4662	37	4	theories	theory	NOUN
ejpam-4662	37	5	are	be	AUX
ejpam-4662	37	6	applied	apply	VERB
ejpam-4662	37	7	to	to	ADP
ejpam-4662	37	8	the	the	DET
ejpam-4662	37	9	family	family	NOUN
ejpam-4662	37	10	of	of	ADP
ejpam-4662	37	11	burr	burr	PROPN
ejpam-4662	37	12	’s	’s	PART
ejpam-4662	37	13	statistics	statistic	NOUN
ejpam-4662	37	14	whose	whose	DET
ejpam-4662	37	15	elements	element	NOUN
ejpam-4662	37	16	have	have	VERB
ejpam-4662	37	17	very	very	ADV
ejpam-4662	37	18	interesting	interesting	ADJ
ejpam-4662	37	19	statistical	statistical	ADJ
ejpam-4662	37	20	properties	property	NOUN
ejpam-4662	37	21	and	and	CCONJ
ejpam-4662	37	22	have	have	VERB
ejpam-4662	37	23	important	important	ADJ
ejpam-4662	37	24	applications	application	NOUN
ejpam-4662	37	25	in	in	ADP
ejpam-4662	37	26	a	a	DET
ejpam-4662	37	27	significant	significant	ADJ
ejpam-4662	37	28	number	number	NOUN
ejpam-4662	37	29	of	of	ADP
ejpam-4662	37	30	disciplines	discipline	NOUN
ejpam-4662	37	31	as	as	ADP
ejpam-4662	37	32	in	in	ADP
ejpam-4662	37	33	telecommunications	telecommunication	NOUN
ejpam-4662	37	34	,	,	PUNCT
ejpam-4662	37	35	reliability	reliability	NOUN
ejpam-4662	37	36	,	,	PUNCT
ejpam-4662	37	37	actuarial	actuarial	ADJ
ejpam-4662	37	38	sciences	science	NOUN
ejpam-4662	37	39	,	,	PUNCT
ejpam-4662	37	40	survival	survival	NOUN
ejpam-4662	37	41	analysis	analysis	NOUN
ejpam-4662	37	42	,	,	PUNCT
ejpam-4662	37	43	etc	etc	X
ejpam-4662	37	44	.	.	X
ejpam-4662	38	1	so	so	ADV
ejpam-4662	38	2	,	,	PUNCT
ejpam-4662	38	3	we	we	PRON
ejpam-4662	38	4	have	have	VERB
ejpam-4662	38	5	to	to	PART
ejpam-4662	38	6	introduce	introduce	VERB
ejpam-4662	38	7	to	to	ADP
ejpam-4662	38	8	that	that	DET
ejpam-4662	38	9	family	family	NOUN
ejpam-4662	38	10	in	in	ADP
ejpam-4662	38	11	subsection	subsection	NOUN
ejpam-4662	38	12	1.3	1.3	NUM
ejpam-4662	38	13	.	.	PUNCT
ejpam-4662	39	1	1.1	1.1	NUM
ejpam-4662	39	2	.	.	PUNCT
ejpam-4662	40	1	univariate	univariate	ADJ
ejpam-4662	40	2	extreme	extreme	ADJ
ejpam-4662	40	3	value	value	NOUN
ejpam-4662	40	4	theory	theory	NOUN
ejpam-4662	40	5	let	let	VERB
ejpam-4662	40	6	x	x	PRON
ejpam-4662	40	7	,	,	PUNCT
ejpam-4662	40	8	x1	x1	PROPN
ejpam-4662	40	9	,	,	PUNCT
ejpam-4662	40	10	x2	x2	PROPN
ejpam-4662	40	11	,	,	PUNCT
ejpam-4662	40	12	·	·	PUNCT
ejpam-4662	40	13	·	·	PUNCT
ejpam-4662	40	14	·	·	PUNCT
ejpam-4662	40	15	be	be	AUX
ejpam-4662	40	16	a	a	DET
ejpam-4662	40	17	sequence	sequence	NOUN
ejpam-4662	40	18	of	of	ADP
ejpam-4662	40	19	independent	independent	ADJ
ejpam-4662	40	20	real	real	ADV
ejpam-4662	40	21	-	-	PUNCT
ejpam-4662	40	22	valued	value	VERB
ejpam-4662	40	23	randoms	random	NOUN
ejpam-4662	40	24	,	,	PUNCT
ejpam-4662	40	25	defined	define	VERB
ejpam-4662	40	26	on	on	ADP
ejpam-4662	40	27	the	the	DET
ejpam-4662	40	28	same	same	ADJ
ejpam-4662	40	29	probability	probability	NOUN
ejpam-4662	40	30	space	space	NOUN
ejpam-4662	40	31	(	(	PUNCT
ejpam-4662	40	32	ω	ω	NOUN
ejpam-4662	40	33	,	,	PUNCT
ejpam-4662	40	34	a	a	DET
ejpam-4662	40	35	,	,	PUNCT
ejpam-4662	40	36	p	p	NOUN
ejpam-4662	40	37	)	)	PUNCT
ejpam-4662	40	38	,	,	PUNCT
ejpam-4662	40	39	with	with	ADP
ejpam-4662	40	40	common	common	ADJ
ejpam-4662	40	41	cumulative	cumulative	ADJ
ejpam-4662	40	42	distribution	distribution	NOUN
ejpam-4662	40	43	function	function	NOUN
ejpam-4662	40	44	f	f	PROPN
ejpam-4662	40	45	,	,	PUNCT
ejpam-4662	40	46	which	which	PRON
ejpam-4662	40	47	has	have	VERB
ejpam-4662	40	48	the	the	DET
ejpam-4662	40	49	lower	low	ADJ
ejpam-4662	40	50	and	and	CCONJ
ejpam-4662	40	51	upper	upper	ADJ
ejpam-4662	40	52	endpoints	endpoint	NOUN
ejpam-4662	40	53	,	,	PUNCT
ejpam-4662	40	54	the	the	DET
ejpam-4662	40	55	first	first	ADJ
ejpam-4662	40	56	asymptotic	asymptotic	ADJ
ejpam-4662	40	57	moment	moment	NOUN
ejpam-4662	40	58	function	function	NOUN
ejpam-4662	40	59	and	and	CCONJ
ejpam-4662	40	60	the	the	DET
ejpam-4662	40	61	generalized	generalized	ADJ
ejpam-4662	40	62	inverse	inverse	NOUN
ejpam-4662	40	63	function	function	NOUN
ejpam-4662	40	64	respectively	respectively	ADV
ejpam-4662	40	65	defined	define	VERB
ejpam-4662	40	66	by	by	ADP
ejpam-4662	40	67	lep(f	lep(f	PROPN
ejpam-4662	40	68	)	)	PUNCT
ejpam-4662	41	1	=	=	PUNCT
ejpam-4662	41	2	inf{x	inf{x	NOUN
ejpam-4662	41	3	∈	∈	PROPN
ejpam-4662	41	4	r	r	NOUN
ejpam-4662	41	5	,	,	PUNCT
ejpam-4662	41	6	f	f	PROPN
ejpam-4662	41	7	(	(	PUNCT
ejpam-4662	41	8	x	x	X
ejpam-4662	41	9	)	)	PUNCT
ejpam-4662	41	10	>	>	X
ejpam-4662	41	11	0	0	NUM
ejpam-4662	41	12	}	}	PUNCT
ejpam-4662	41	13	,	,	PUNCT
ejpam-4662	41	14	uep(f	uep(f	PROPN
ejpam-4662	41	15	)	)	PUNCT
ejpam-4662	42	1	=	=	PUNCT
ejpam-4662	42	2	sup{x	sup{x	X
ejpam-4662	42	3	∈	∈	PROPN
ejpam-4662	42	4	r	r	NOUN
ejpam-4662	42	5	,	,	PUNCT
ejpam-4662	42	6	f	f	PROPN
ejpam-4662	42	7	(	(	PUNCT
ejpam-4662	42	8	x	x	X
ejpam-4662	42	9	)	)	PUNCT
ejpam-4662	42	10	<	<	X
ejpam-4662	42	11	1	1	NUM
ejpam-4662	42	12	}	}	PUNCT
ejpam-4662	42	13	r(x	r(x	PROPN
ejpam-4662	42	14	,	,	PUNCT
ejpam-4662	42	15	f	f	X
ejpam-4662	42	16	)	)	PUNCT
ejpam-4662	42	17	=	=	SYM
ejpam-4662	43	1	1	1	NUM
ejpam-4662	43	2	1−	1−	NUM
ejpam-4662	43	3	f	f	X
ejpam-4662	43	4	(	(	PUNCT
ejpam-4662	43	5	x	x	X
ejpam-4662	43	6	)	)	PUNCT
ejpam-4662	43	7	∫	∫	PROPN
ejpam-4662	43	8	uep(f	uep(f	PROPN
ejpam-4662	43	9	)	)	PUNCT
ejpam-4662	43	10	x	x	X
ejpam-4662	43	11	(	(	PUNCT
ejpam-4662	43	12	1−	1−	NUM
ejpam-4662	43	13	f	f	X
ejpam-4662	43	14	(	(	PUNCT
ejpam-4662	43	15	y	y	NOUN
ejpam-4662	43	16	)	)	PUNCT
ejpam-4662	43	17	)	)	PUNCT
ejpam-4662	44	1	dy	dy	NOUN
ejpam-4662	44	2	,	,	PUNCT
ejpam-4662	44	3	x	x	PROPN
ejpam-4662	44	4	∈]lep(f	∈]lep(f	PROPN
ejpam-4662	44	5	)	)	PUNCT
ejpam-4662	44	6	,	,	PUNCT
ejpam-4662	44	7	uep(f	uep(f	PROPN
ejpam-4662	44	8	)	)	PUNCT
ejpam-4662	44	9	[	[	PUNCT
ejpam-4662	44	10	and	and	CCONJ
ejpam-4662	44	11	f−1(u	f−1(u	NOUN
ejpam-4662	44	12	)	)	PUNCT
ejpam-4662	44	13	=	=	PUNCT
ejpam-4662	44	14	inf{x	inf{x	NOUN
ejpam-4662	44	15	∈	∈	PROPN
ejpam-4662	44	16	r	r	NOUN
ejpam-4662	44	17	,	,	PUNCT
ejpam-4662	44	18	f	f	PROPN
ejpam-4662	44	19	(	(	PUNCT
ejpam-4662	44	20	x	x	NOUN
ejpam-4662	44	21	)	)	PUNCT
ejpam-4662	44	22	≥	≥	PROPN
ejpam-4662	44	23	u	u	NOUN
ejpam-4662	44	24	}	}	PUNCT
ejpam-4662	44	25	for	for	ADP
ejpam-4662	44	26	u	u	NOUN
ejpam-4662	44	27	∈]0	∈]0	X
ejpam-4662	44	28	,	,	PUNCT
ejpam-4662	44	29	1	1	NUM
ejpam-4662	44	30	[	[	PUNCT
ejpam-4662	44	31	and	and	CCONJ
ejpam-4662	44	32	f−1(0	f−1(0	PROPN
ejpam-4662	44	33	)	)	PUNCT
ejpam-4662	44	34	=	=	PUNCT
ejpam-4662	44	35	f−1(0	f−1(0	PROPN
ejpam-4662	44	36	+	+	NOUN
ejpam-4662	44	37	)	)	PUNCT
ejpam-4662	44	38	.	.	PUNCT
ejpam-4662	45	1	s.	s.	PROPN
ejpam-4662	45	2	dembele	dembele	PROPN
ejpam-4662	45	3	et	et	PROPN
ejpam-4662	45	4	al	al	PROPN
ejpam-4662	45	5	.	.	PUNCT
ejpam-4662	45	6	/	/	SYM
ejpam-4662	45	7	eur	eur	PROPN
ejpam-4662	45	8	.	.	PUNCT
ejpam-4662	46	1	j.	j.	PROPN
ejpam-4662	46	2	pure	pure	PROPN
ejpam-4662	46	3	appl	appl	PROPN
ejpam-4662	46	4	.	.	PROPN
ejpam-4662	46	5	math	math	PROPN
ejpam-4662	46	6	,	,	PUNCT
ejpam-4662	46	7	16	16	NUM
ejpam-4662	46	8	(	(	PUNCT
ejpam-4662	46	9	1	1	NUM
ejpam-4662	46	10	)	)	PUNCT
ejpam-4662	46	11	(	(	PUNCT
ejpam-4662	46	12	2023	2023	NUM
ejpam-4662	46	13	)	)	PUNCT
ejpam-4662	46	14	,	,	PUNCT
ejpam-4662	46	15	609	609	NUM
ejpam-4662	46	16	-	-	SYM
ejpam-4662	46	17	656	656	NUM
ejpam-4662	46	18	611	611	NUM
ejpam-4662	46	19	f	f	NOUN
ejpam-4662	46	20	is	be	AUX
ejpam-4662	46	21	said	say	VERB
ejpam-4662	46	22	to	to	PART
ejpam-4662	46	23	be	be	AUX
ejpam-4662	46	24	in	in	ADP
ejpam-4662	46	25	the	the	DET
ejpam-4662	46	26	extreme	extreme	ADJ
ejpam-4662	46	27	value	value	NOUN
ejpam-4662	46	28	domain	domain	NOUN
ejpam-4662	46	29	of	of	ADP
ejpam-4662	46	30	attraction	attraction	NOUN
ejpam-4662	46	31	of	of	ADP
ejpam-4662	46	32	a	a	DET
ejpam-4662	46	33	non	non	ADJ
ejpam-4662	46	34	-	-	ADJ
ejpam-4662	46	35	degenerate	degenerate	ADJ
ejpam-4662	46	36	df	df	NOUN
ejpam-4662	46	37	m	m	NOUN
ejpam-4662	46	38	whenever	whenever	SCONJ
ejpam-4662	46	39	there	there	PRON
ejpam-4662	46	40	exist	exist	VERB
ejpam-4662	46	41	real	real	ADJ
ejpam-4662	46	42	and	and	CCONJ
ejpam-4662	46	43	nonrandom	nonrandom	NOUN
ejpam-4662	46	44	sequences	sequence	NOUN
ejpam-4662	46	45	(	(	PUNCT
ejpam-4662	46	46	an	an	PRON
ejpam-4662	46	47	>	>	X
ejpam-4662	46	48	0)n≥1	0)n≥1	PROPN
ejpam-4662	46	49	and	and	CCONJ
ejpam-4662	46	50	(	(	PUNCT
ejpam-4662	46	51	bn)n≥1	bn)n≥1	NOUN
ejpam-4662	46	52	such	such	ADJ
ejpam-4662	46	53	that	that	PRON
ejpam-4662	46	54	for	for	ADP
ejpam-4662	46	55	any	any	DET
ejpam-4662	46	56	continuity	continuity	NOUN
ejpam-4662	46	57	point	point	NOUN
ejpam-4662	46	58	x	x	PUNCT
ejpam-4662	46	59	of	of	ADP
ejpam-4662	46	60	m	m	PROPN
ejpam-4662	46	61	,	,	PUNCT
ejpam-4662	46	62	lim	lim	PROPN
ejpam-4662	46	63	n→∞	n→∞	X
ejpam-4662	47	1	p	p	X
ejpam-4662	47	2	(	(	PUNCT
ejpam-4662	47	3	xn	xn	PROPN
ejpam-4662	47	4	,	,	PUNCT
ejpam-4662	47	5	n	n	CCONJ
ejpam-4662	47	6	−	−	PROPN
ejpam-4662	47	7	bn	bn	NOUN
ejpam-4662	47	8	an	an	DET
ejpam-4662	47	9	≤	≤	NOUN
ejpam-4662	47	10	x	x	X
ejpam-4662	47	11	)	)	PUNCT
ejpam-4662	48	1	=	=	SYM
ejpam-4662	48	2	lim	lim	PROPN
ejpam-4662	48	3	n→∞	n→∞	NUM
ejpam-4662	48	4	fn(anx+	fn(anx+	PROPN
ejpam-4662	48	5	bn	bn	NOUN
ejpam-4662	48	6	)	)	PUNCT
ejpam-4662	48	7	=	=	SYM
ejpam-4662	48	8	m(x	m(x	PROPN
ejpam-4662	48	9	)	)	PUNCT
ejpam-4662	48	10	.	.	PUNCT
ejpam-4662	49	1	(	(	PUNCT
ejpam-4662	49	2	1	1	X
ejpam-4662	49	3	)	)	PUNCT
ejpam-4662	49	4	it	it	PRON
ejpam-4662	49	5	is	be	AUX
ejpam-4662	49	6	known	know	VERB
ejpam-4662	49	7	that	that	SCONJ
ejpam-4662	49	8	m	m	PROPN
ejpam-4662	49	9	is	be	AUX
ejpam-4662	49	10	necessarily	necessarily	ADV
ejpam-4662	49	11	of	of	ADP
ejpam-4662	49	12	the	the	DET
ejpam-4662	49	13	family	family	NOUN
ejpam-4662	49	14	of	of	ADP
ejpam-4662	49	15	the	the	DET
ejpam-4662	49	16	generalized	generalized	ADJ
ejpam-4662	49	17	extreme	extreme	ADJ
ejpam-4662	49	18	value	value	NOUN
ejpam-4662	49	19	(	(	PUNCT
ejpam-4662	49	20	gev	gev	NOUN
ejpam-4662	49	21	)	)	PUNCT
ejpam-4662	49	22	df	df	NOUN
ejpam-4662	49	23	:	:	PUNCT
ejpam-4662	49	24	hγ(x	hγ(x	X
ejpam-4662	49	25	)	)	PUNCT
ejpam-4662	50	1	=	=	SYM
ejpam-4662	50	2	exp(−(1	exp(−(1	NOUN
ejpam-4662	51	1	+	+	CCONJ
ejpam-4662	51	2	γx)−1	γx)−1	NOUN
ejpam-4662	51	3	/	/	SYM
ejpam-4662	51	4	γ	γ	NOUN
ejpam-4662	51	5	)	)	PUNCT
ejpam-4662	51	6	,	,	PUNCT
ejpam-4662	51	7	1	1	NUM
ejpam-4662	51	8	+	+	CCONJ
ejpam-4662	51	9	γx	γx	VERB
ejpam-4662	51	10	≥	≥	NOUN
ejpam-4662	51	11	0	0	NUM
ejpam-4662	51	12	,	,	PUNCT
ejpam-4662	51	13	(	(	PUNCT
ejpam-4662	51	14	2	2	X
ejpam-4662	51	15	)	)	PUNCT
ejpam-4662	51	16	parametrized	parametrize	VERB
ejpam-4662	51	17	by	by	ADP
ejpam-4662	51	18	γ	γ	PROPN
ejpam-4662	51	19	∈	∈	PROPN
ejpam-4662	51	20	r	r	NOUN
ejpam-4662	51	21	,	,	PUNCT
ejpam-4662	51	22	with	with	ADP
ejpam-4662	51	23	h0(x	h0(x	NOUN
ejpam-4662	51	24	)	)	PUNCT
ejpam-4662	51	25	=	=	SYM
ejpam-4662	52	1	1−	1−	NUM
ejpam-4662	52	2	exp(−e−x	exp(−e−x	PROPN
ejpam-4662	52	3	)	)	PUNCT
ejpam-4662	52	4	,	,	PUNCT
ejpam-4662	52	5	x	x	PUNCT
ejpam-4662	52	6	∈	∈	NOUN
ejpam-4662	52	7	r	r	NOUN
ejpam-4662	52	8	,	,	PUNCT
ejpam-4662	52	9	for	for	ADP
ejpam-4662	52	10	γ	γ	X
ejpam-4662	52	11	=	=	SYM
ejpam-4662	52	12	0	0	NUM
ejpam-4662	52	13	.	.	PUNCT
ejpam-4662	53	1	the	the	DET
ejpam-4662	53	2	parameter	parameter	NOUN
ejpam-4662	53	3	γ	γ	PROPN
ejpam-4662	53	4	is	be	AUX
ejpam-4662	53	5	called	call	VERB
ejpam-4662	53	6	the	the	DET
ejpam-4662	53	7	extreme	extreme	ADJ
ejpam-4662	53	8	value	value	NOUN
ejpam-4662	53	9	index	index	NOUN
ejpam-4662	53	10	.	.	PUNCT
ejpam-4662	54	1	in	in	ADP
ejpam-4662	54	2	this	this	DET
ejpam-4662	54	3	paper	paper	NOUN
ejpam-4662	54	4	,	,	PUNCT
ejpam-4662	54	5	we	we	PRON
ejpam-4662	54	6	use	use	VERB
ejpam-4662	54	7	some	some	DET
ejpam-4662	54	8	important	important	ADJ
ejpam-4662	54	9	facts	fact	NOUN
ejpam-4662	54	10	from	from	ADP
ejpam-4662	54	11	evt	evt	PROPN
ejpam-4662	54	12	that	that	SCONJ
ejpam-4662	54	13	we	we	PRON
ejpam-4662	54	14	can	can	AUX
ejpam-4662	54	15	summarize	summarize	VERB
ejpam-4662	54	16	below	below	ADV
ejpam-4662	54	17	,	,	PUNCT
ejpam-4662	54	18	especially	especially	ADV
ejpam-4662	54	19	regarding	regard	VERB
ejpam-4662	54	20	functional	functional	ADJ
ejpam-4662	54	21	representation	representation	NOUN
ejpam-4662	54	22	of	of	ADP
ejpam-4662	54	23	cdf	cdf	PROPN
ejpam-4662	54	24	’s	’s	X
ejpam-4662	54	25	and	and	CCONJ
ejpam-4662	54	26	their	their	PRON
ejpam-4662	54	27	quantile	quantile	ADJ
ejpam-4662	54	28	functions	function	NOUN
ejpam-4662	54	29	in	in	ADP
ejpam-4662	54	30	the	the	DET
ejpam-4662	54	31	extreme	extreme	ADJ
ejpam-4662	54	32	domain	domain	NOUN
ejpam-4662	54	33	of	of	ADP
ejpam-4662	54	34	attraction	attraction	NOUN
ejpam-4662	54	35	as	as	ADV
ejpam-4662	54	36	well	well	ADV
ejpam-4662	54	37	as	as	ADP
ejpam-4662	54	38	their	their	PRON
ejpam-4662	54	39	quantile	quantile	NOUN
ejpam-4662	54	40	functions.more	functions.more	NUM
ejpam-4662	54	41	details	detail	NOUN
ejpam-4662	54	42	can	can	AUX
ejpam-4662	54	43	be	be	AUX
ejpam-4662	54	44	found	find	VERB
ejpam-4662	54	45	in	in	ADP
ejpam-4662	54	46	[	[	X
ejpam-4662	54	47	15	15	NUM
ejpam-4662	54	48	]	]	X
ejpam-4662	54	49	,	,	PUNCT
ejpam-4662	54	50	as	as	ADP
ejpam-4662	54	51	a	a	DET
ejpam-4662	54	52	quick	quick	ADJ
ejpam-4662	54	53	introduction	introduction	NOUN
ejpam-4662	54	54	on	on	ADP
ejpam-4662	54	55	evt	evt	PROPN
ejpam-4662	54	56	and	and	CCONJ
ejpam-4662	54	57	to	to	PART
ejpam-4662	54	58	have	have	VERB
ejpam-4662	54	59	abroad	abroad	ADJ
ejpam-4662	54	60	view	view	NOUN
ejpam-4662	54	61	on	on	ADP
ejpam-4662	54	62	how	how	SCONJ
ejpam-4662	54	63	to	to	PART
ejpam-4662	54	64	find	find	VERB
ejpam-4662	54	65	the	the	DET
ejpam-4662	54	66	domain	domain	NOUN
ejpam-4662	54	67	of	of	ADP
ejpam-4662	54	68	attraction	attraction	NOUN
ejpam-4662	54	69	of	of	ADP
ejpam-4662	54	70	a	a	DET
ejpam-4662	54	71	cdf	cdf	NOUN
ejpam-4662	54	72	.	.	PUNCT
ejpam-4662	55	1	we	we	PRON
ejpam-4662	55	2	will	will	AUX
ejpam-4662	55	3	need	need	VERB
ejpam-4662	55	4	the	the	DET
ejpam-4662	55	5	two	two	NUM
ejpam-4662	55	6	following	follow	VERB
ejpam-4662	55	7	propositions	proposition	NOUN
ejpam-4662	55	8	.	.	PUNCT
ejpam-4662	56	1	proposition	proposition	NOUN
ejpam-4662	56	2	1	1	NUM
ejpam-4662	56	3	.	.	PUNCT
ejpam-4662	57	1	(	(	PUNCT
ejpam-4662	57	2	see	see	VERB
ejpam-4662	57	3	[	[	X
ejpam-4662	57	4	?	?	PUNCT
ejpam-4662	57	5	]	]	PUNCT
ejpam-4662	57	6	)	)	PUNCT
ejpam-4662	57	7	we	we	PRON
ejpam-4662	57	8	have	have	VERB
ejpam-4662	57	9	the	the	DET
ejpam-4662	57	10	following	follow	VERB
ejpam-4662	57	11	equivalences	equivalence	NOUN
ejpam-4662	57	12	.	.	PUNCT
ejpam-4662	58	1	let	let	VERB
ejpam-4662	58	2	g(x	g(x	NOUN
ejpam-4662	58	3	)	)	PUNCT
ejpam-4662	59	1	=	=	SYM
ejpam-4662	59	2	f	f	X
ejpam-4662	59	3	(	(	PUNCT
ejpam-4662	59	4	ex	ex	NOUN
ejpam-4662	59	5	)	)	PUNCT
ejpam-4662	59	6	the	the	DET
ejpam-4662	59	7	cdf	cdf	PROPN
ejpam-4662	59	8	of	of	ADP
ejpam-4662	59	9	the	the	DET
ejpam-4662	59	10	log	log	NOUN
ejpam-4662	59	11	-	-	PUNCT
ejpam-4662	59	12	transformation	transformation	NOUN
ejpam-4662	59	13	.	.	PUNCT
ejpam-4662	60	1	we	we	PRON
ejpam-4662	60	2	have	have	VERB
ejpam-4662	60	3	:	:	PUNCT
ejpam-4662	60	4	(	(	PUNCT
ejpam-4662	60	5	1	1	X
ejpam-4662	60	6	)	)	PUNCT
ejpam-4662	60	7	if	if	SCONJ
ejpam-4662	60	8	γ	γ	X
ejpam-4662	60	9	>	>	X
ejpam-4662	60	10	0	0	PROPN
ejpam-4662	60	11	,	,	PUNCT
ejpam-4662	60	12	f	f	PROPN
ejpam-4662	60	13	∈	∈	PROPN
ejpam-4662	60	14	d(hγ	d(hγ	PROPN
ejpam-4662	60	15	)	)	PUNCT
ejpam-4662	60	16	⇔	⇔	NOUN
ejpam-4662	60	17	(	(	PUNCT
ejpam-4662	60	18	g	g	PROPN
ejpam-4662	60	19	∈	∈	PROPN
ejpam-4662	60	20	d(h0	d(h0	NOUN
ejpam-4662	60	21	)	)	PUNCT
ejpam-4662	60	22	and	and	CCONJ
ejpam-4662	60	23	r(x	r(x	PROPN
ejpam-4662	60	24	,	,	PUNCT
ejpam-4662	60	25	g	g	NOUN
ejpam-4662	60	26	)	)	PUNCT
ejpam-4662	60	27	→	→	SYM
ejpam-4662	60	28	γ	γ	X
ejpam-4662	60	29	as	as	ADP
ejpam-4662	60	30	x	x	X
ejpam-4662	60	31	→	→	SYM
ejpam-4662	60	32	uep(g	uep(g	NOUN
ejpam-4662	60	33	)	)	PUNCT
ejpam-4662	60	34	)	)	PUNCT
ejpam-4662	60	35	.	.	PUNCT
ejpam-4662	61	1	(	(	PUNCT
ejpam-4662	61	2	2	2	X
ejpam-4662	61	3	)	)	PUNCT
ejpam-4662	61	4	if	if	SCONJ
ejpam-4662	61	5	γ	γ	X
ejpam-4662	61	6	=	=	SYM
ejpam-4662	61	7	0	0	PROPN
ejpam-4662	61	8	,	,	PUNCT
ejpam-4662	61	9	f	f	PROPN
ejpam-4662	61	10	∈	∈	PROPN
ejpam-4662	61	11	d(h0	d(h0	NOUN
ejpam-4662	61	12	)	)	PUNCT
ejpam-4662	61	13	⇔	⇔	NOUN
ejpam-4662	61	14	(	(	PUNCT
ejpam-4662	61	15	g	g	PROPN
ejpam-4662	61	16	∈	∈	PROPN
ejpam-4662	61	17	d(h0	d(h0	NOUN
ejpam-4662	61	18	)	)	PUNCT
ejpam-4662	61	19	and	and	CCONJ
ejpam-4662	61	20	r(x	r(x	PROPN
ejpam-4662	61	21	,	,	PUNCT
ejpam-4662	61	22	g	g	NOUN
ejpam-4662	61	23	)	)	PUNCT
ejpam-4662	61	24	→	→	SYM
ejpam-4662	61	25	0	0	PUNCT
ejpam-4662	61	26	as	as	ADP
ejpam-4662	61	27	x	x	X
ejpam-4662	61	28	→	→	SYM
ejpam-4662	61	29	uep(g	uep(g	NOUN
ejpam-4662	61	30	)	)	PUNCT
ejpam-4662	61	31	)	)	PUNCT
ejpam-4662	61	32	.	.	PUNCT
ejpam-4662	62	1	(	(	PUNCT
ejpam-4662	62	2	3	3	X
ejpam-4662	62	3	)	)	PUNCT
ejpam-4662	62	4	if	if	SCONJ
ejpam-4662	62	5	γ	γ	X
ejpam-4662	62	6	<	<	X
ejpam-4662	62	7	0	0	PROPN
ejpam-4662	62	8	,	,	PUNCT
ejpam-4662	62	9	f	f	PROPN
ejpam-4662	62	10	∈	∈	PROPN
ejpam-4662	62	11	d(hγ	d(hγ	PROPN
ejpam-4662	62	12	)	)	PUNCT
ejpam-4662	62	13	⇔	⇔	NOUN
ejpam-4662	62	14	g	g	PROPN
ejpam-4662	62	15	∈	∈	PROPN
ejpam-4662	62	16	d(hγ	d(hγ	PROPN
ejpam-4662	62	17	)	)	PUNCT
ejpam-4662	62	18	.	.	PUNCT
ejpam-4662	63	1	the	the	DET
ejpam-4662	63	2	next	next	ADJ
ejpam-4662	63	3	proposition	proposition	NOUN
ejpam-4662	63	4	provides	provide	VERB
ejpam-4662	63	5	interesting	interesting	ADJ
ejpam-4662	63	6	functional	functional	ADJ
ejpam-4662	63	7	representations	representation	NOUN
ejpam-4662	63	8	of	of	ADP
ejpam-4662	63	9	quantile	quantile	ADJ
ejpam-4662	63	10	functions	function	NOUN
ejpam-4662	63	11	of	of	ADP
ejpam-4662	63	12	cdf	cdf	PROPN
ejpam-4662	63	13	’s	’s	X
ejpam-4662	63	14	in	in	ADP
ejpam-4662	63	15	the	the	DET
ejpam-4662	63	16	extreme	extreme	ADJ
ejpam-4662	63	17	domain	domain	NOUN
ejpam-4662	63	18	of	of	ADP
ejpam-4662	63	19	attraction	attraction	NOUN
ejpam-4662	63	20	.	.	PUNCT
ejpam-4662	64	1	proposition	proposition	NOUN
ejpam-4662	64	2	2	2	NUM
ejpam-4662	64	3	.	.	PUNCT
ejpam-4662	65	1	(	(	PUNCT
ejpam-4662	65	2	[	[	X
ejpam-4662	65	3	13	13	NUM
ejpam-4662	65	4	]	]	PUNCT
ejpam-4662	65	5	and	and	CCONJ
ejpam-4662	65	6	[	[	X
ejpam-4662	65	7	11	11	NUM
ejpam-4662	65	8	]	]	PUNCT
ejpam-4662	65	9	)	)	PUNCT
ejpam-4662	65	10	we	we	PRON
ejpam-4662	65	11	have	have	VERB
ejpam-4662	65	12	the	the	DET
ejpam-4662	65	13	following	follow	VERB
ejpam-4662	65	14	characterizations	characterization	NOUN
ejpam-4662	65	15	for	for	ADP
ejpam-4662	65	16	the	the	DET
ejpam-4662	65	17	three	three	NUM
ejpam-4662	65	18	extremal	extremal	ADJ
ejpam-4662	65	19	domains	domain	NOUN
ejpam-4662	65	20	.	.	PUNCT
ejpam-4662	66	1	(	(	PUNCT
ejpam-4662	66	2	a	a	X
ejpam-4662	66	3	)	)	PUNCT
ejpam-4662	66	4	f	f	PROPN
ejpam-4662	66	5	∈	∈	PROPN
ejpam-4662	66	6	d(hγ	d(hγ	PROPN
ejpam-4662	66	7	)	)	PUNCT
ejpam-4662	66	8	,	,	PUNCT
ejpam-4662	66	9	γ	γ	X
ejpam-4662	66	10	>	>	X
ejpam-4662	66	11	0	0	NUM
ejpam-4662	66	12	,	,	PUNCT
ejpam-4662	66	13	if	if	SCONJ
ejpam-4662	66	14	and	and	CCONJ
ejpam-4662	66	15	only	only	ADV
ejpam-4662	66	16	if	if	SCONJ
ejpam-4662	66	17	there	there	PRON
ejpam-4662	66	18	exist	exist	VERB
ejpam-4662	66	19	a	a	DET
ejpam-4662	66	20	constant	constant	ADJ
ejpam-4662	66	21	c	c	NOUN
ejpam-4662	66	22	and	and	CCONJ
ejpam-4662	66	23	functions	function	NOUN
ejpam-4662	66	24	a(u	a(u	NOUN
ejpam-4662	66	25	)	)	PUNCT
ejpam-4662	66	26	and	and	CCONJ
ejpam-4662	66	27	ℓ(u	ℓ(u	PROPN
ejpam-4662	66	28	)	)	PUNCT
ejpam-4662	66	29	of	of	ADP
ejpam-4662	66	30	u	u	PRON
ejpam-4662	66	31	∈]0	∈]0	X
ejpam-4662	66	32	,	,	PUNCT
ejpam-4662	66	33	1	1	X
ejpam-4662	66	34	[	[	PUNCT
ejpam-4662	66	35	satisfying	satisfy	VERB
ejpam-4662	66	36	s.	s.	PROPN
ejpam-4662	66	37	dembele	dembele	PROPN
ejpam-4662	66	38	et	et	PROPN
ejpam-4662	66	39	al	al	PROPN
ejpam-4662	66	40	.	.	PUNCT
ejpam-4662	66	41	/	/	SYM
ejpam-4662	66	42	eur	eur	PROPN
ejpam-4662	66	43	.	.	PUNCT
ejpam-4662	67	1	j.	j.	PROPN
ejpam-4662	67	2	pure	pure	PROPN
ejpam-4662	67	3	appl	appl	PROPN
ejpam-4662	67	4	.	.	PROPN
ejpam-4662	67	5	math	math	PROPN
ejpam-4662	67	6	,	,	PUNCT
ejpam-4662	67	7	16	16	NUM
ejpam-4662	67	8	(	(	PUNCT
ejpam-4662	67	9	1	1	NUM
ejpam-4662	67	10	)	)	PUNCT
ejpam-4662	67	11	(	(	PUNCT
ejpam-4662	67	12	2023	2023	NUM
ejpam-4662	67	13	)	)	PUNCT
ejpam-4662	67	14	,	,	PUNCT
ejpam-4662	67	15	609	609	NUM
ejpam-4662	67	16	-	-	SYM
ejpam-4662	67	17	656	656	NUM
ejpam-4662	67	18	612	612	NUM
ejpam-4662	67	19	(	(	PUNCT
ejpam-4662	67	20	a(u	a(u	PROPN
ejpam-4662	67	21	)	)	PUNCT
ejpam-4662	67	22	,	,	PUNCT
ejpam-4662	67	23	ℓ(u	ℓ(u	PROPN
ejpam-4662	67	24	)	)	PUNCT
ejpam-4662	67	25	)	)	PUNCT
ejpam-4662	68	1	→	→	PUNCT
ejpam-4662	68	2	(	(	PUNCT
ejpam-4662	68	3	0	0	NUM
ejpam-4662	68	4	,	,	PUNCT
ejpam-4662	68	5	0	0	NUM
ejpam-4662	68	6	)	)	PUNCT
ejpam-4662	68	7	as	as	ADP
ejpam-4662	68	8	u	u	NOUN
ejpam-4662	68	9	→	→	SYM
ejpam-4662	68	10	0	0	NUM
ejpam-4662	68	11	,	,	PUNCT
ejpam-4662	68	12	such	such	ADJ
ejpam-4662	68	13	that	that	SCONJ
ejpam-4662	68	14	f−1	f−1	PROPN
ejpam-4662	68	15	admits	admit	VERB
ejpam-4662	68	16	the	the	DET
ejpam-4662	68	17	following	following	ADJ
ejpam-4662	68	18	representation	representation	NOUN
ejpam-4662	68	19	of	of	ADP
ejpam-4662	68	20	karamata	karamata	ADJ
ejpam-4662	68	21	f−1(1−	f−1(1−	PROPN
ejpam-4662	68	22	u	u	PROPN
ejpam-4662	68	23	)	)	PUNCT
ejpam-4662	68	24	=	=	PUNCT
ejpam-4662	68	25	c(1	c(1	PROPN
ejpam-4662	68	26	+	+	CCONJ
ejpam-4662	68	27	a(u))u−γ	a(u))u−γ	NOUN
ejpam-4662	68	28	exp	exp	NOUN
ejpam-4662	68	29	(	(	PUNCT
ejpam-4662	68	30	∫	∫	PROPN
ejpam-4662	68	31	1	1	NUM
ejpam-4662	68	32	u	u	NOUN
ejpam-4662	68	33	ℓ(t	ℓ(t	PROPN
ejpam-4662	68	34	)	)	PUNCT
ejpam-4662	68	35	t	t	NOUN
ejpam-4662	68	36	dt	dt	NOUN
ejpam-4662	68	37	)	)	PUNCT
ejpam-4662	68	38	.	.	PUNCT
ejpam-4662	69	1	(	(	PUNCT
ejpam-4662	69	2	3	3	X
ejpam-4662	69	3	)	)	PUNCT
ejpam-4662	69	4	(	(	PUNCT
ejpam-4662	69	5	b	b	X
ejpam-4662	69	6	)	)	PUNCT
ejpam-4662	69	7	f	f	PROPN
ejpam-4662	69	8	∈	∈	PROPN
ejpam-4662	69	9	d(hγ	d(hγ	PROPN
ejpam-4662	69	10	)	)	PUNCT
ejpam-4662	69	11	,	,	PUNCT
ejpam-4662	69	12	γ	γ	X
ejpam-4662	69	13	<	<	X
ejpam-4662	69	14	0	0	NUM
ejpam-4662	69	15	,	,	PUNCT
ejpam-4662	69	16	if	if	SCONJ
ejpam-4662	69	17	and	and	CCONJ
ejpam-4662	69	18	only	only	ADV
ejpam-4662	69	19	if	if	SCONJ
ejpam-4662	69	20	uep(f	uep(f	PROPN
ejpam-4662	69	21	)	)	PUNCT
ejpam-4662	70	1	<	<	X
ejpam-4662	71	1	+	+	X
ejpam-4662	71	2	∞	∞	PROPN
ejpam-4662	71	3	and	and	CCONJ
ejpam-4662	71	4	there	there	PRON
ejpam-4662	71	5	exist	exist	VERB
ejpam-4662	71	6	a	a	DET
ejpam-4662	71	7	constant	constant	ADJ
ejpam-4662	71	8	c	c	NOUN
ejpam-4662	71	9	and	and	CCONJ
ejpam-4662	71	10	functions	function	NOUN
ejpam-4662	71	11	a(u	a(u	NOUN
ejpam-4662	71	12	)	)	PUNCT
ejpam-4662	71	13	and	and	CCONJ
ejpam-4662	71	14	ℓ(u	ℓ(u	PROPN
ejpam-4662	71	15	)	)	PUNCT
ejpam-4662	71	16	of	of	ADP
ejpam-4662	71	17	u	u	PRON
ejpam-4662	71	18	∈]0	∈]0	X
ejpam-4662	71	19	,	,	PUNCT
ejpam-4662	71	20	1	1	NUM
ejpam-4662	71	21	[	[	PUNCT
ejpam-4662	71	22	satisfying	satisfy	VERB
ejpam-4662	71	23	(	(	PUNCT
ejpam-4662	71	24	a(u	a(u	PROPN
ejpam-4662	71	25	)	)	PUNCT
ejpam-4662	71	26	,	,	PUNCT
ejpam-4662	71	27	ℓ(u	ℓ(u	PROPN
ejpam-4662	71	28	)	)	PUNCT
ejpam-4662	71	29	)	)	PUNCT
ejpam-4662	71	30	→	→	PUNCT
ejpam-4662	71	31	(	(	PUNCT
ejpam-4662	71	32	0	0	NUM
ejpam-4662	71	33	,	,	PUNCT
ejpam-4662	71	34	0	0	NUM
ejpam-4662	71	35	)	)	PUNCT
ejpam-4662	71	36	as	as	ADP
ejpam-4662	71	37	u	u	NOUN
ejpam-4662	71	38	→	→	SYM
ejpam-4662	71	39	0	0	NUM
ejpam-4662	71	40	,	,	PUNCT
ejpam-4662	71	41	such	such	ADJ
ejpam-4662	71	42	that	that	SCONJ
ejpam-4662	71	43	f−1	f−1	PROPN
ejpam-4662	71	44	admit	admit	VERB
ejpam-4662	71	45	the	the	DET
ejpam-4662	71	46	following	follow	VERB
ejpam-4662	71	47	representation	representation	NOUN
ejpam-4662	71	48	of	of	ADP
ejpam-4662	71	49	karamata	karamata	NOUN
ejpam-4662	71	50	uep(f	uep(f	PROPN
ejpam-4662	71	51	)	)	PUNCT
ejpam-4662	71	52	−	−	PROPN
ejpam-4662	71	53	f−1(1−	f−1(1−	PROPN
ejpam-4662	71	54	u	u	PROPN
ejpam-4662	71	55	)	)	PUNCT
ejpam-4662	71	56	=	=	PUNCT
ejpam-4662	71	57	c(1	c(1	PROPN
ejpam-4662	71	58	+	+	CCONJ
ejpam-4662	71	59	a(u))u−γ	a(u))u−γ	NOUN
ejpam-4662	71	60	exp	exp	NOUN
ejpam-4662	71	61	(	(	PUNCT
ejpam-4662	71	62	∫	∫	PROPN
ejpam-4662	71	63	1	1	NUM
ejpam-4662	71	64	u	u	NOUN
ejpam-4662	71	65	ℓ(t	ℓ(t	PROPN
ejpam-4662	71	66	)	)	PUNCT
ejpam-4662	71	67	t	t	NOUN
ejpam-4662	71	68	dt	dt	NOUN
ejpam-4662	71	69	)	)	PUNCT
ejpam-4662	71	70	.	.	PUNCT
ejpam-4662	72	1	(	(	PUNCT
ejpam-4662	72	2	4	4	X
ejpam-4662	72	3	)	)	PUNCT
ejpam-4662	72	4	(	(	PUNCT
ejpam-4662	72	5	c	c	X
ejpam-4662	72	6	)	)	PUNCT
ejpam-4662	72	7	f	f	PROPN
ejpam-4662	72	8	∈	∈	PROPN
ejpam-4662	72	9	d(h0	d(h0	NOUN
ejpam-4662	72	10	)	)	PUNCT
ejpam-4662	72	11	if	if	SCONJ
ejpam-4662	72	12	and	and	CCONJ
ejpam-4662	72	13	only	only	ADV
ejpam-4662	72	14	if	if	SCONJ
ejpam-4662	72	15	there	there	PRON
ejpam-4662	72	16	exist	exist	VERB
ejpam-4662	72	17	a	a	DET
ejpam-4662	72	18	constant	constant	ADJ
ejpam-4662	72	19	d	d	NOUN
ejpam-4662	72	20	and	and	CCONJ
ejpam-4662	72	21	a	a	DET
ejpam-4662	72	22	slowly	slowly	ADV
ejpam-4662	72	23	varying	vary	VERB
ejpam-4662	72	24	function	function	NOUN
ejpam-4662	72	25	s(u	s(u	PROPN
ejpam-4662	72	26	)	)	PUNCT
ejpam-4662	72	27	such	such	ADJ
ejpam-4662	72	28	that	that	SCONJ
ejpam-4662	72	29	f−1(1−	f−1(1−	PROPN
ejpam-4662	72	30	u	u	NOUN
ejpam-4662	72	31	)	)	PUNCT
ejpam-4662	72	32	=	=	SYM
ejpam-4662	72	33	d+	d+	NOUN
ejpam-4662	72	34	s(u	s(u	PROPN
ejpam-4662	72	35	)	)	PUNCT
ejpam-4662	72	36	+	+	CCONJ
ejpam-4662	72	37	∫	∫	PROPN
ejpam-4662	72	38	1	1	NUM
ejpam-4662	72	39	u	u	NOUN
ejpam-4662	72	40	s(t	s(t	PROPN
ejpam-4662	72	41	)	)	PUNCT
ejpam-4662	72	42	t	t	NOUN
ejpam-4662	72	43	dt	dt	PROPN
ejpam-4662	72	44	,	,	PUNCT
ejpam-4662	72	45	0	0	PUNCT
ejpam-4662	72	46	<	<	X
ejpam-4662	72	47	u	u	X
ejpam-4662	72	48	<	<	X
ejpam-4662	72	49	1	1	NUM
ejpam-4662	72	50	,	,	PUNCT
ejpam-4662	72	51	(	(	PUNCT
ejpam-4662	72	52	5	5	NUM
ejpam-4662	72	53	)	)	PUNCT
ejpam-4662	72	54	and	and	CCONJ
ejpam-4662	72	55	there	there	PRON
ejpam-4662	72	56	exist	exist	VERB
ejpam-4662	72	57	a	a	DET
ejpam-4662	72	58	constant	constant	ADJ
ejpam-4662	72	59	c	c	NOUN
ejpam-4662	72	60	and	and	CCONJ
ejpam-4662	72	61	functions	function	NOUN
ejpam-4662	72	62	a(u	a(u	NOUN
ejpam-4662	72	63	)	)	PUNCT
ejpam-4662	72	64	and	and	CCONJ
ejpam-4662	72	65	ℓ(u	ℓ(u	PROPN
ejpam-4662	72	66	)	)	PUNCT
ejpam-4662	72	67	of	of	ADP
ejpam-4662	72	68	u	u	PRON
ejpam-4662	72	69	∈]0	∈]0	X
ejpam-4662	72	70	,	,	PUNCT
ejpam-4662	72	71	1	1	X
ejpam-4662	72	72	]	]	X
ejpam-4662	72	73	satisfying	satisfying	NOUN
ejpam-4662	72	74	(	(	PUNCT
ejpam-4662	72	75	a(u	a(u	PROPN
ejpam-4662	72	76	)	)	PUNCT
ejpam-4662	72	77	,	,	PUNCT
ejpam-4662	72	78	ℓ(u	ℓ(u	PROPN
ejpam-4662	72	79	)	)	PUNCT
ejpam-4662	72	80	)	)	PUNCT
ejpam-4662	72	81	→	→	PUNCT
ejpam-4662	72	82	(	(	PUNCT
ejpam-4662	72	83	0	0	NUM
ejpam-4662	72	84	,	,	PUNCT
ejpam-4662	72	85	0	0	NUM
ejpam-4662	72	86	)	)	PUNCT
ejpam-4662	72	87	as	as	ADP
ejpam-4662	72	88	u	u	NOUN
ejpam-4662	72	89	→	→	SYM
ejpam-4662	72	90	0	0	NUM
ejpam-4662	72	91	,	,	PUNCT
ejpam-4662	72	92	such	such	ADJ
ejpam-4662	72	93	that	that	SCONJ
ejpam-4662	72	94	the	the	DET
ejpam-4662	72	95	function	function	NOUN
ejpam-4662	72	96	s(u	s(u	PROPN
ejpam-4662	72	97	)	)	PUNCT
ejpam-4662	72	98	of	of	ADP
ejpam-4662	72	99	u	u	PRON
ejpam-4662	72	100	∈]0	∈]0	X
ejpam-4662	72	101	,	,	PUNCT
ejpam-4662	72	102	1	1	NUM
ejpam-4662	72	103	[	[	PUNCT
ejpam-4662	72	104	admits	admit	VERB
ejpam-4662	72	105	the	the	DET
ejpam-4662	72	106	representation	representation	NOUN
ejpam-4662	72	107	s(u	s(u	PROPN
ejpam-4662	72	108	)	)	PUNCT
ejpam-4662	72	109	=	=	PUNCT
ejpam-4662	72	110	c(1	c(1	PROPN
ejpam-4662	72	111	+	+	CCONJ
ejpam-4662	72	112	a(u	a(u	PROPN
ejpam-4662	72	113	)	)	PUNCT
ejpam-4662	72	114	)	)	PUNCT
ejpam-4662	72	115	exp	exp	NOUN
ejpam-4662	72	116	(	(	PUNCT
ejpam-4662	72	117	∫	∫	PROPN
ejpam-4662	72	118	1	1	NUM
ejpam-4662	72	119	u	u	NOUN
ejpam-4662	72	120	ℓ(t	ℓ(t	PROPN
ejpam-4662	72	121	)	)	PUNCT
ejpam-4662	72	122	t	t	NOUN
ejpam-4662	72	123	dt	dt	NOUN
ejpam-4662	72	124	)	)	PUNCT
ejpam-4662	72	125	.	.	PUNCT
ejpam-4662	73	1	(	(	PUNCT
ejpam-4662	73	2	6	6	NUM
ejpam-4662	73	3	)	)	PUNCT
ejpam-4662	73	4	moreover	moreover	ADV
ejpam-4662	73	5	,	,	PUNCT
ejpam-4662	73	6	if	if	SCONJ
ejpam-4662	73	7	f−1(1−u	f−1(1−u	NOUN
ejpam-4662	73	8	)	)	PUNCT
ejpam-4662	73	9	is	be	AUX
ejpam-4662	73	10	differentiable	differentiable	ADJ
ejpam-4662	73	11	for	for	ADP
ejpam-4662	73	12	small	small	ADJ
ejpam-4662	73	13	values	value	NOUN
ejpam-4662	73	14	of	of	ADP
ejpam-4662	73	15	u	u	PRON
ejpam-4662	73	16	such	such	ADJ
ejpam-4662	73	17	that	that	SCONJ
ejpam-4662	73	18	r(u	r(u	PROPN
ejpam-4662	73	19	)	)	PUNCT
ejpam-4662	74	1	=	=	PUNCT
ejpam-4662	75	1	−u(f−1(1−	−u(f−1(1−	NOUN
ejpam-4662	75	2	u))′	u))′	PUNCT
ejpam-4662	75	3	=	=	SYM
ejpam-4662	76	1	−u	−u	PROPN
ejpam-4662	76	2	df−1(1−	df−1(1−	PROPN
ejpam-4662	76	3	u)/du	u)/du	PROPN
ejpam-4662	76	4	is	be	AUX
ejpam-4662	76	5	slowly	slowly	ADV
ejpam-4662	76	6	varying	vary	VERB
ejpam-4662	76	7	at	at	ADP
ejpam-4662	76	8	zero	zero	NUM
ejpam-4662	76	9	,	,	PUNCT
ejpam-4662	76	10	then	then	ADV
ejpam-4662	76	11	(	(	PUNCT
ejpam-4662	76	12	5	5	X
ejpam-4662	76	13	)	)	PUNCT
ejpam-4662	76	14	may	may	AUX
ejpam-4662	76	15	be	be	AUX
ejpam-4662	76	16	replaced	replace	VERB
ejpam-4662	76	17	by	by	ADP
ejpam-4662	76	18	f−1(1−	f−1(1−	PROPN
ejpam-4662	76	19	u	u	PROPN
ejpam-4662	76	20	)	)	PUNCT
ejpam-4662	76	21	=	=	PUNCT
ejpam-4662	76	22	d+	d+	PUNCT
ejpam-4662	76	23	∫	∫	PROPN
ejpam-4662	76	24	u0	u0	PROPN
ejpam-4662	76	25	u	u	PROPN
ejpam-4662	76	26	r(t	r(t	PROPN
ejpam-4662	76	27	)	)	PUNCT
ejpam-4662	76	28	t	t	PROPN
ejpam-4662	76	29	dt	dt	PROPN
ejpam-4662	76	30	,	,	PUNCT
ejpam-4662	76	31	0	0	PUNCT
ejpam-4662	76	32	<	<	X
ejpam-4662	76	33	u	u	X
ejpam-4662	76	34	<	<	X
ejpam-4662	76	35	u0	u0	X
ejpam-4662	76	36	<	<	X
ejpam-4662	76	37	1	1	NUM
ejpam-4662	76	38	,	,	PUNCT
ejpam-4662	76	39	(	(	PUNCT
ejpam-4662	76	40	7	7	X
ejpam-4662	76	41	)	)	PUNCT
ejpam-4662	76	42	which	which	PRON
ejpam-4662	76	43	will	will	AUX
ejpam-4662	76	44	be	be	AUX
ejpam-4662	76	45	called	call	VERB
ejpam-4662	76	46	a	a	DET
ejpam-4662	76	47	reduced	reduce	VERB
ejpam-4662	76	48	de	de	PROPN
ejpam-4662	76	49	haan	haan	PROPN
ejpam-4662	76	50	representation	representation	NOUN
ejpam-4662	76	51	of	of	ADP
ejpam-4662	76	52	f−1	f−1	PROPN
ejpam-4662	76	53	.	.	PUNCT
ejpam-4662	77	1	on	on	ADP
ejpam-4662	77	2	top	top	NOUN
ejpam-4662	77	3	of	of	ADP
ejpam-4662	77	4	these	these	DET
ejpam-4662	77	5	representations	representation	NOUN
ejpam-4662	77	6	,	,	PUNCT
ejpam-4662	77	7	we	we	PRON
ejpam-4662	77	8	may	may	AUX
ejpam-4662	77	9	use	use	VERB
ejpam-4662	77	10	the	the	DET
ejpam-4662	77	11	simple	simple	ADJ
ejpam-4662	77	12	criteria	criterion	NOUN
ejpam-4662	77	13	(	(	PUNCT
ejpam-4662	77	14	see	see	VERB
ejpam-4662	77	15	more	more	ADJ
ejpam-4662	77	16	criteria	criterion	NOUN
ejpam-4662	77	17	in	in	ADP
ejpam-4662	77	18	[	[	X
ejpam-4662	77	19	11	11	NUM
ejpam-4662	77	20	]	]	PUNCT
ejpam-4662	77	21	and	and	CCONJ
ejpam-4662	77	22	[	[	X
ejpam-4662	77	23	?	?	X
ejpam-4662	78	1	]	]	X
ejpam-4662	78	2	,	,	PUNCT
ejpam-4662	78	3	recalled	recall	VERB
ejpam-4662	78	4	in	in	ADP
ejpam-4662	78	5	theorem	theorem	NOUN
ejpam-4662	78	6	1	1	NUM
ejpam-4662	78	7	)	)	PUNCT
ejpam-4662	78	8	.	.	PUNCT
ejpam-4662	79	1	s.	s.	PROPN
ejpam-4662	79	2	dembele	dembele	PROPN
ejpam-4662	79	3	et	et	PROPN
ejpam-4662	79	4	al	al	PROPN
ejpam-4662	79	5	.	.	PUNCT
ejpam-4662	79	6	/	/	SYM
ejpam-4662	79	7	eur	eur	PROPN
ejpam-4662	79	8	.	.	PUNCT
ejpam-4662	80	1	j.	j.	PROPN
ejpam-4662	80	2	pure	pure	PROPN
ejpam-4662	80	3	appl	appl	PROPN
ejpam-4662	80	4	.	.	PROPN
ejpam-4662	80	5	math	math	PROPN
ejpam-4662	80	6	,	,	PUNCT
ejpam-4662	80	7	16	16	NUM
ejpam-4662	80	8	(	(	PUNCT
ejpam-4662	80	9	1	1	NUM
ejpam-4662	80	10	)	)	PUNCT
ejpam-4662	80	11	(	(	PUNCT
ejpam-4662	80	12	2023	2023	NUM
ejpam-4662	80	13	)	)	PUNCT
ejpam-4662	80	14	,	,	PUNCT
ejpam-4662	80	15	609	609	NUM
ejpam-4662	80	16	-	-	SYM
ejpam-4662	80	17	656	656	NUM
ejpam-4662	80	18	613	613	NUM
ejpam-4662	80	19	proposition	proposition	NOUN
ejpam-4662	80	20	3	3	NUM
ejpam-4662	80	21	.	.	PUNCT
ejpam-4662	81	1	we	we	PRON
ejpam-4662	81	2	have	have	VERB
ejpam-4662	81	3	:	:	PUNCT
ejpam-4662	81	4	(	(	PUNCT
ejpam-4662	81	5	a	a	X
ejpam-4662	81	6	)	)	PUNCT
ejpam-4662	81	7	f	f	PROPN
ejpam-4662	81	8	∈	∈	PROPN
ejpam-4662	81	9	d(gγ	d(gγ	PROPN
ejpam-4662	81	10	)	)	PUNCT
ejpam-4662	81	11	,	,	PUNCT
ejpam-4662	81	12	γ	γ	X
ejpam-4662	81	13	>	>	X
ejpam-4662	81	14	0	0	PUNCT
ejpam-4662	82	1	if	if	SCONJ
ejpam-4662	82	2	and	and	CCONJ
ejpam-4662	82	3	only	only	ADV
ejpam-4662	82	4	if	if	SCONJ
ejpam-4662	82	5	uep(f	uep(f	PROPN
ejpam-4662	82	6	)	)	PUNCT
ejpam-4662	83	1	=	=	PUNCT
ejpam-4662	84	1	+	+	PUNCT
ejpam-4662	84	2	∞	∞	NUM
ejpam-4662	84	3	and	and	CCONJ
ejpam-4662	84	4	∀λ	∀λ	X
ejpam-4662	84	5	>	>	X
ejpam-4662	84	6	0	0	NUM
ejpam-4662	84	7	,	,	PUNCT
ejpam-4662	84	8	u	u	NOUN
ejpam-4662	84	9	∈]0	∈]0	ADJ
ejpam-4662	84	10	,	,	PUNCT
ejpam-4662	84	11	1	1	NUM
ejpam-4662	84	12	[	[	X
ejpam-4662	84	13	,	,	PUNCT
ejpam-4662	84	14	lim	lim	PROPN
ejpam-4662	84	15	u→0	u→0	PUNCT
ejpam-4662	84	16	f−1(1−	f−1(1−	PROPN
ejpam-4662	84	17	λu	λu	PROPN
ejpam-4662	84	18	)	)	PUNCT
ejpam-4662	84	19	f−1(1−	f−1(1−	PROPN
ejpam-4662	84	20	u	u	PROPN
ejpam-4662	84	21	)	)	PUNCT
ejpam-4662	84	22	=	=	PUNCT
ejpam-4662	85	1	λ−γ	λ−γ	PROPN
ejpam-4662	85	2	(	(	PUNCT
ejpam-4662	85	3	b	b	NOUN
ejpam-4662	85	4	)	)	PUNCT
ejpam-4662	85	5	f	f	PROPN
ejpam-4662	85	6	∈	∈	PROPN
ejpam-4662	85	7	d(gγ	d(gγ	PROPN
ejpam-4662	85	8	)	)	PUNCT
ejpam-4662	85	9	,	,	PUNCT
ejpam-4662	85	10	γ	γ	X
ejpam-4662	85	11	<	<	X
ejpam-4662	85	12	0	0	PUNCT
ejpam-4662	85	13	if	if	SCONJ
ejpam-4662	85	14	and	and	CCONJ
ejpam-4662	85	15	only	only	ADV
ejpam-4662	85	16	if	if	SCONJ
ejpam-4662	85	17	uep(f	uep(f	PROPN
ejpam-4662	85	18	)	)	PUNCT
ejpam-4662	85	19	<	<	X
ejpam-4662	85	20	∞	∞	PROPN
ejpam-4662	85	21	and	and	CCONJ
ejpam-4662	85	22	∀λ	∀λ	X
ejpam-4662	85	23	>	>	X
ejpam-4662	85	24	0	0	NUM
ejpam-4662	85	25	,	,	PUNCT
ejpam-4662	85	26	u	u	NOUN
ejpam-4662	85	27	∈]0	∈]0	ADJ
ejpam-4662	85	28	,	,	PUNCT
ejpam-4662	85	29	1	1	NUM
ejpam-4662	85	30	[	[	X
ejpam-4662	85	31	,	,	PUNCT
ejpam-4662	85	32	lim	lim	PROPN
ejpam-4662	85	33	u→0	u→0	PUNCT
ejpam-4662	85	34	uep(f	uep(f	PROPN
ejpam-4662	85	35	)	)	PUNCT
ejpam-4662	85	36	−	−	PROPN
ejpam-4662	85	37	f−1(1−	f−1(1−	PROPN
ejpam-4662	85	38	λu	λu	PROPN
ejpam-4662	85	39	)	)	PUNCT
ejpam-4662	85	40	uep(f	uep(f	PROPN
ejpam-4662	85	41	)	)	PUNCT
ejpam-4662	86	1	−	−	PROPN
ejpam-4662	86	2	f−1(1−	f−1(1−	PROPN
ejpam-4662	86	3	u	u	PROPN
ejpam-4662	86	4	)	)	PUNCT
ejpam-4662	87	1	=	=	PUNCT
ejpam-4662	87	2	λ−γ	λ−γ	PROPN
ejpam-4662	87	3	(	(	PUNCT
ejpam-4662	87	4	c	c	NOUN
ejpam-4662	87	5	)	)	PUNCT
ejpam-4662	87	6	f	f	PROPN
ejpam-4662	87	7	∈	∈	PROPN
ejpam-4662	87	8	d(gγ	d(gγ	PROPN
ejpam-4662	87	9	)	)	PUNCT
ejpam-4662	87	10	,	,	PUNCT
ejpam-4662	87	11	γ	γ	X
ejpam-4662	87	12	=	=	SYM
ejpam-4662	87	13	0	0	PUNCT
ejpam-4662	88	1	if	if	SCONJ
ejpam-4662	88	2	and	and	CCONJ
ejpam-4662	88	3	only	only	ADV
ejpam-4662	88	4	there	there	PRON
ejpam-4662	88	5	exists	exist	VERB
ejpam-4662	88	6	a	a	DET
ejpam-4662	88	7	function	function	NOUN
ejpam-4662	88	8	s(u	s(u	PROPN
ejpam-4662	88	9	)	)	PUNCT
ejpam-4662	88	10	of	of	ADP
ejpam-4662	88	11	u	u	PRON
ejpam-4662	88	12	∈]0	∈]0	X
ejpam-4662	88	13	,	,	PUNCT
ejpam-4662	88	14	1	1	NUM
ejpam-4662	88	15	[	[	PUNCT
ejpam-4662	88	16	which	which	PRON
ejpam-4662	88	17	is	be	AUX
ejpam-4662	88	18	slowly	slowly	ADV
ejpam-4662	88	19	varying	vary	VERB
ejpam-4662	88	20	function	function	NOUN
ejpam-4662	88	21	at	at	ADP
ejpam-4662	88	22	zero	zero	NUM
ejpam-4662	88	23	and	and	CCONJ
ejpam-4662	88	24	such	such	ADJ
ejpam-4662	88	25	that	that	SCONJ
ejpam-4662	88	26	∀λ	∀λ	X
ejpam-4662	88	27	>	>	SYM
ejpam-4662	88	28	0	0	NUM
ejpam-4662	88	29	,	,	PUNCT
ejpam-4662	88	30	u	u	NOUN
ejpam-4662	88	31	∈]0	∈]0	ADJ
ejpam-4662	88	32	,	,	PUNCT
ejpam-4662	88	33	1	1	NUM
ejpam-4662	88	34	[	[	X
ejpam-4662	88	35	,	,	PUNCT
ejpam-4662	88	36	lim	lim	PROPN
ejpam-4662	88	37	u→0	u→0	PUNCT
ejpam-4662	89	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	89	2	λu)−	λu)−	PROPN
ejpam-4662	89	3	f−1(1−	f−1(1−	PROPN
ejpam-4662	89	4	u	u	NOUN
ejpam-4662	89	5	)	)	PUNCT
ejpam-4662	89	6	s(u	s(u	PROPN
ejpam-4662	89	7	)	)	PUNCT
ejpam-4662	89	8	=	=	SYM
ejpam-4662	90	1	−	−	NOUN
ejpam-4662	90	2	log	log	NOUN
ejpam-4662	90	3	λ	λ	NOUN
ejpam-4662	90	4	if	if	SCONJ
ejpam-4662	90	5	and	and	CCONJ
ejpam-4662	90	6	only	only	ADV
ejpam-4662	90	7	if	if	SCONJ
ejpam-4662	90	8	∀λ	∀λ	NOUN
ejpam-4662	90	9	>	>	X
ejpam-4662	90	10	0	0	NUM
ejpam-4662	90	11	,	,	PUNCT
ejpam-4662	90	12	∀	∀	X
ejpam-4662	90	13	0	0	PUNCT
ejpam-4662	90	14	<	<	X
ejpam-4662	90	15	µ	µ	X
ejpam-4662	90	16	̸=	̸=	PROPN
ejpam-4662	90	17	1	1	NUM
ejpam-4662	90	18	,	,	PUNCT
ejpam-4662	90	19	u	u	NOUN
ejpam-4662	90	20	∈]0	∈]0	ADJ
ejpam-4662	90	21	,	,	PUNCT
ejpam-4662	90	22	1	1	NUM
ejpam-4662	90	23	[	[	X
ejpam-4662	90	24	,	,	PUNCT
ejpam-4662	90	25	lim	lim	PROPN
ejpam-4662	90	26	u→0	u→0	PUNCT
ejpam-4662	90	27	f−1(1−	f−1(1−	PROPN
ejpam-4662	90	28	λu)−	λu)−	PROPN
ejpam-4662	90	29	f−1(1−	f−1(1−	PROPN
ejpam-4662	90	30	u	u	NOUN
ejpam-4662	90	31	)	)	PUNCT
ejpam-4662	90	32	f−1(1−	f−1(1−	PROPN
ejpam-4662	90	33	µu)−	µu)−	NOUN
ejpam-4662	90	34	f−1(1−	f−1(1−	PROPN
ejpam-4662	90	35	u	u	NOUN
ejpam-4662	90	36	)	)	PUNCT
ejpam-4662	90	37	=	=	PUNCT
ejpam-4662	90	38	log	log	NOUN
ejpam-4662	90	39	λ	λ	NOUN
ejpam-4662	90	40	logµ	logµ	NOUN
ejpam-4662	90	41	.	.	PUNCT
ejpam-4662	91	1	1.2	1.2	NUM
ejpam-4662	91	2	.	.	PUNCT
ejpam-4662	92	1	gaussian	gaussian	ADJ
ejpam-4662	92	2	asymptotic	asymptotic	ADJ
ejpam-4662	92	3	laws	law	NOUN
ejpam-4662	92	4	of	of	ADP
ejpam-4662	92	5	record	record	NOUN
ejpam-4662	92	6	values	value	NOUN
ejpam-4662	92	7	let	let	VERB
ejpam-4662	92	8	us	we	PRON
ejpam-4662	92	9	begin	begin	VERB
ejpam-4662	92	10	by	by	ADP
ejpam-4662	92	11	define	define	VERB
ejpam-4662	92	12	records	record	NOUN
ejpam-4662	92	13	values	value	NOUN
ejpam-4662	92	14	and	and	CCONJ
ejpam-4662	92	15	records	record	NOUN
ejpam-4662	92	16	times	time	NOUN
ejpam-4662	92	17	for	for	ADP
ejpam-4662	92	18	a	a	DET
ejpam-4662	92	19	sequence	sequence	NOUN
ejpam-4662	92	20	of	of	ADP
ejpam-4662	92	21	real	real	ADJ
ejpam-4662	92	22	random	random	ADJ
ejpam-4662	92	23	variables	variable	NOUN
ejpam-4662	92	24	defined	define	VERB
ejpam-4662	92	25	on	on	ADP
ejpam-4662	92	26	the	the	DET
ejpam-4662	92	27	same	same	ADJ
ejpam-4662	92	28	probability	probability	NOUN
ejpam-4662	92	29	space	space	NOUN
ejpam-4662	92	30	(	(	PUNCT
ejpam-4662	92	31	ω	ω	NOUN
ejpam-4662	92	32	,	,	PUNCT
ejpam-4662	92	33	a	a	PRON
ejpam-4662	92	34	,	,	PUNCT
ejpam-4662	92	35	p	p	X
ejpam-4662	92	36	):	):	PUNCT
ejpam-4662	92	37	y1	y1	NOUN
ejpam-4662	92	38	,	,	PUNCT
ejpam-4662	92	39	y2	y2	PROPN
ejpam-4662	92	40	,	,	PUNCT
ejpam-4662	92	41	·	·	PUNCT
ejpam-4662	92	42	·	·	PUNCT
ejpam-4662	92	43	·	·	PUNCT
ejpam-4662	92	44	.	.	PUNCT
ejpam-4662	93	1	record	record	NOUN
ejpam-4662	93	2	times	time	NOUN
ejpam-4662	93	3	and	and	CCONJ
ejpam-4662	93	4	record	record	NOUN
ejpam-4662	93	5	values	value	NOUN
ejpam-4662	93	6	are	be	AUX
ejpam-4662	93	7	defined	define	VERB
ejpam-4662	93	8	as	as	SCONJ
ejpam-4662	93	9	follows	follow	VERB
ejpam-4662	93	10	.	.	PUNCT
ejpam-4662	94	1	strong	strong	ADJ
ejpam-4662	94	2	upper	upper	ADJ
ejpam-4662	94	3	record	record	NOUN
ejpam-4662	94	4	times	time	NOUN
ejpam-4662	94	5	.	.	PUNCT
ejpam-4662	95	1	let	let	VERB
ejpam-4662	95	2	us	we	PRON
ejpam-4662	95	3	put	put	VERB
ejpam-4662	95	4	u(1	u(1	PROPN
ejpam-4662	95	5	)	)	PUNCT
ejpam-4662	95	6	=	=	SYM
ejpam-4662	95	7	1	1	NUM
ejpam-4662	95	8	as	as	ADP
ejpam-4662	95	9	the	the	DET
ejpam-4662	95	10	first	first	ADJ
ejpam-4662	95	11	strong	strong	ADJ
ejpam-4662	95	12	upper	upper	ADJ
ejpam-4662	95	13	record	record	NOUN
ejpam-4662	95	14	time	time	NOUN
ejpam-4662	95	15	.	.	PUNCT
ejpam-4662	96	1	for	for	ADP
ejpam-4662	96	2	any	any	DET
ejpam-4662	96	3	n	n	PRON
ejpam-4662	96	4	≥	≥	NOUN
ejpam-4662	96	5	2	2	NUM
ejpam-4662	96	6	,	,	PUNCT
ejpam-4662	96	7	we	we	PRON
ejpam-4662	96	8	define	define	VERB
ejpam-4662	96	9	,	,	PUNCT
ejpam-4662	96	10	by	by	ADP
ejpam-4662	96	11	induction	induction	NOUN
ejpam-4662	96	12	,	,	PUNCT
ejpam-4662	96	13	whenever	whenever	SCONJ
ejpam-4662	96	14	the	the	DET
ejpam-4662	96	15	(	(	PUNCT
ejpam-4662	96	16	n−	n−	NOUN
ejpam-4662	96	17	1)th	1)th	NUM
ejpam-4662	96	18	upper	upper	ADJ
ejpam-4662	96	19	record	record	NOUN
ejpam-4662	96	20	time	time	NOUN
ejpam-4662	96	21	u(n−	u(n−	PROPN
ejpam-4662	96	22	1	1	NUM
ejpam-4662	96	23	)	)	PUNCT
ejpam-4662	96	24	exists	exist	VERB
ejpam-4662	96	25	,	,	PUNCT
ejpam-4662	96	26	un	un	PROPN
ejpam-4662	96	27	=	=	PROPN
ejpam-4662	96	28	{	{	PUNCT
ejpam-4662	96	29	j	j	X
ejpam-4662	96	30	>	>	X
ejpam-4662	96	31	u(n−	u(n−	PROPN
ejpam-4662	96	32	1	1	NUM
ejpam-4662	96	33	)	)	PUNCT
ejpam-4662	96	34	,	,	PUNCT
ejpam-4662	96	35	yj	yj	PROPN
ejpam-4662	96	36	>	>	X
ejpam-4662	96	37	yu(n−1	yu(n−1	PROPN
ejpam-4662	96	38	)	)	PUNCT
ejpam-4662	96	39	}	}	PUNCT
ejpam-4662	96	40	.	.	PUNCT
ejpam-4662	97	1	hence	hence	ADV
ejpam-4662	97	2	,	,	PUNCT
ejpam-4662	97	3	for	for	ADP
ejpam-4662	97	4	n	n	PRON
ejpam-4662	97	5	≥	≥	NUM
ejpam-4662	97	6	2	2	NUM
ejpam-4662	97	7	,	,	PUNCT
ejpam-4662	97	8	the	the	DET
ejpam-4662	97	9	(	(	PUNCT
ejpam-4662	97	10	n)th	n)th	PROPN
ejpam-4662	97	11	upper	upper	ADJ
ejpam-4662	97	12	record	record	NOUN
ejpam-4662	97	13	time	time	NOUN
ejpam-4662	97	14	is	be	AUX
ejpam-4662	97	15	u(n	u(n	PROPN
ejpam-4662	97	16	)	)	PUNCT
ejpam-4662	97	17	=	=	PUNCT
ejpam-4662	98	1	+	+	NUM
ejpam-4662	98	2	∞	∞	PROPN
ejpam-4662	98	3	if	if	SCONJ
ejpam-4662	98	4	un	un	PROPN
ejpam-4662	98	5	is	be	AUX
ejpam-4662	98	6	empty	empty	ADJ
ejpam-4662	98	7	and	and	CCONJ
ejpam-4662	98	8	,	,	PUNCT
ejpam-4662	98	9	otherwise	otherwise	ADV
ejpam-4662	98	10	u(n	u(n	PROPN
ejpam-4662	98	11	)	)	PUNCT
ejpam-4662	98	12	=	=	PROPN
ejpam-4662	98	13	inf	inf	PROPN
ejpam-4662	98	14	un	un	PROPN
ejpam-4662	98	15	.	.	PROPN
ejpam-4662	99	1	strong	strong	ADJ
ejpam-4662	99	2	lower	low	ADJ
ejpam-4662	99	3	record	record	NOUN
ejpam-4662	99	4	times	time	NOUN
ejpam-4662	99	5	.	.	PUNCT
ejpam-4662	100	1	let	let	VERB
ejpam-4662	100	2	us	we	PRON
ejpam-4662	100	3	put	put	VERB
ejpam-4662	100	4	ℓ(1	ℓ(1	NOUN
ejpam-4662	100	5	)	)	PUNCT
ejpam-4662	100	6	=	=	SYM
ejpam-4662	100	7	1	1	NUM
ejpam-4662	100	8	as	as	ADP
ejpam-4662	100	9	the	the	DET
ejpam-4662	100	10	first	first	ADJ
ejpam-4662	100	11	strong	strong	ADJ
ejpam-4662	100	12	lower	low	ADJ
ejpam-4662	100	13	record	record	NOUN
ejpam-4662	100	14	time	time	NOUN
ejpam-4662	100	15	.	.	PUNCT
ejpam-4662	101	1	for	for	ADP
ejpam-4662	101	2	any	any	DET
ejpam-4662	101	3	n	n	PRON
ejpam-4662	101	4	≥	≥	NOUN
ejpam-4662	101	5	2	2	NUM
ejpam-4662	101	6	,	,	PUNCT
ejpam-4662	101	7	we	we	PRON
ejpam-4662	101	8	define	define	VERB
ejpam-4662	101	9	,	,	PUNCT
ejpam-4662	101	10	by	by	ADP
ejpam-4662	101	11	induction	induction	NOUN
ejpam-4662	101	12	,	,	PUNCT
ejpam-4662	101	13	whenever	whenever	SCONJ
ejpam-4662	101	14	the	the	DET
ejpam-4662	101	15	(	(	PUNCT
ejpam-4662	101	16	n−	n−	NOUN
ejpam-4662	101	17	1)th	1)th	X
ejpam-4662	101	18	lower	low	ADJ
ejpam-4662	101	19	record	record	NOUN
ejpam-4662	101	20	time	time	NOUN
ejpam-4662	101	21	ℓ(n−	ℓ(n−	PROPN
ejpam-4662	101	22	1	1	NUM
ejpam-4662	101	23	)	)	PUNCT
ejpam-4662	101	24	exists	exist	VERB
ejpam-4662	101	25	,	,	PUNCT
ejpam-4662	102	1	s.	s.	PROPN
ejpam-4662	102	2	dembele	dembele	PROPN
ejpam-4662	102	3	et	et	PROPN
ejpam-4662	102	4	al	al	PROPN
ejpam-4662	102	5	.	.	PUNCT
ejpam-4662	102	6	/	/	SYM
ejpam-4662	102	7	eur	eur	PROPN
ejpam-4662	102	8	.	.	PUNCT
ejpam-4662	103	1	j.	j.	PROPN
ejpam-4662	103	2	pure	pure	PROPN
ejpam-4662	103	3	appl	appl	PROPN
ejpam-4662	103	4	.	.	PROPN
ejpam-4662	103	5	math	math	PROPN
ejpam-4662	103	6	,	,	PUNCT
ejpam-4662	103	7	16	16	NUM
ejpam-4662	103	8	(	(	PUNCT
ejpam-4662	103	9	1	1	NUM
ejpam-4662	103	10	)	)	PUNCT
ejpam-4662	103	11	(	(	PUNCT
ejpam-4662	103	12	2023	2023	NUM
ejpam-4662	103	13	)	)	PUNCT
ejpam-4662	103	14	,	,	PUNCT
ejpam-4662	103	15	609	609	NUM
ejpam-4662	103	16	-	-	SYM
ejpam-4662	103	17	656	656	NUM
ejpam-4662	103	18	614	614	NUM
ejpam-4662	103	19	ln	ln	NOUN
ejpam-4662	103	20	=	=	PUNCT
ejpam-4662	103	21	{	{	PUNCT
ejpam-4662	103	22	j	j	X
ejpam-4662	103	23	>	>	X
ejpam-4662	103	24	ℓ(n−	ℓ(n−	PROPN
ejpam-4662	103	25	1	1	NUM
ejpam-4662	103	26	)	)	PUNCT
ejpam-4662	103	27	,	,	PUNCT
ejpam-4662	103	28	yj	yj	PROPN
ejpam-4662	103	29	<	<	X
ejpam-4662	103	30	yℓ(n−1	yℓ(n−1	PROPN
ejpam-4662	103	31	)	)	PUNCT
ejpam-4662	103	32	}	}	PUNCT
ejpam-4662	103	33	hence	hence	ADV
ejpam-4662	103	34	,	,	PUNCT
ejpam-4662	103	35	for	for	ADP
ejpam-4662	103	36	n	n	PRON
ejpam-4662	103	37	≥	≥	NUM
ejpam-4662	103	38	2	2	NUM
ejpam-4662	103	39	,	,	PUNCT
ejpam-4662	103	40	the	the	DET
ejpam-4662	103	41	n	n	ADV
ejpam-4662	103	42	-	-	PUNCT
ejpam-4662	103	43	th	th	X
ejpam-4662	103	44	lower	low	ADJ
ejpam-4662	103	45	record	record	NOUN
ejpam-4662	103	46	time	time	NOUN
ejpam-4662	103	47	is	be	AUX
ejpam-4662	103	48	ℓ(n	ℓ(n	PROPN
ejpam-4662	103	49	)	)	PUNCT
ejpam-4662	104	1	=	=	PUNCT
ejpam-4662	105	1	+	+	NUM
ejpam-4662	105	2	∞	∞	PROPN
ejpam-4662	105	3	if	if	SCONJ
ejpam-4662	105	4	ln	ln	ADJ
ejpam-4662	105	5	is	be	AUX
ejpam-4662	105	6	empty	empty	ADJ
ejpam-4662	105	7	and	and	CCONJ
ejpam-4662	105	8	,	,	PUNCT
ejpam-4662	105	9	otherwise	otherwise	ADV
ejpam-4662	105	10	ℓ(n	ℓ(n	PROPN
ejpam-4662	105	11	)	)	PUNCT
ejpam-4662	106	1	=	=	SYM
ejpam-4662	107	1	inf	inf	PROPN
ejpam-4662	108	1	ln	ln	ADJ
ejpam-4662	108	2	.	.	PUNCT
ejpam-4662	108	3	strong	strong	ADJ
ejpam-4662	108	4	record	record	NOUN
ejpam-4662	108	5	values	value	NOUN
ejpam-4662	108	6	.	.	PUNCT
ejpam-4662	109	1	for	for	ADP
ejpam-4662	109	2	each	each	DET
ejpam-4662	109	3	n	n	PRON
ejpam-4662	109	4	≥	≥	NOUN
ejpam-4662	109	5	1	1	NUM
ejpam-4662	109	6	such	such	ADJ
ejpam-4662	109	7	that	that	SCONJ
ejpam-4662	109	8	u(n	u(n	PROPN
ejpam-4662	109	9	)	)	PUNCT
ejpam-4662	109	10	is	be	AUX
ejpam-4662	109	11	finite	finite	ADJ
ejpam-4662	109	12	,	,	PUNCT
ejpam-4662	109	13	we	we	PRON
ejpam-4662	109	14	have	have	VERB
ejpam-4662	109	15	a	a	DET
ejpam-4662	109	16	sequence	sequence	NOUN
ejpam-4662	109	17	of	of	ADP
ejpam-4662	109	18	strong	strong	ADJ
ejpam-4662	109	19	upper	upper	ADJ
ejpam-4662	109	20	record	record	NOUN
ejpam-4662	109	21	values	value	NOUN
ejpam-4662	109	22	(	(	PUNCT
ejpam-4662	109	23	y	y	PROPN
ejpam-4662	109	24	(	(	PUNCT
ejpam-4662	109	25	k	k	NOUN
ejpam-4662	109	26	)	)	PUNCT
ejpam-4662	109	27	=	=	PUNCT
ejpam-4662	109	28	yu(k	yu(k	NUM
ejpam-4662	109	29	)	)	PUNCT
ejpam-4662	109	30	,	,	PUNCT
ejpam-4662	109	31	1	1	NUM
ejpam-4662	109	32	≤	≤	NUM
ejpam-4662	109	33	k	k	NOUN
ejpam-4662	109	34	≤	≤	PROPN
ejpam-4662	109	35	n	n	CCONJ
ejpam-4662	109	36	)	)	PUNCT
ejpam-4662	109	37	.	.	PUNCT
ejpam-4662	110	1	for	for	ADP
ejpam-4662	110	2	each	each	DET
ejpam-4662	110	3	n	n	PRON
ejpam-4662	110	4	≥	≥	NOUN
ejpam-4662	110	5	1	1	NUM
ejpam-4662	110	6	such	such	ADJ
ejpam-4662	110	7	that	that	DET
ejpam-4662	110	8	ℓ(n	ℓ(n	PROPN
ejpam-4662	110	9	)	)	PUNCT
ejpam-4662	110	10	is	be	AUX
ejpam-4662	110	11	finite	finite	ADJ
ejpam-4662	110	12	,	,	PUNCT
ejpam-4662	110	13	we	we	PRON
ejpam-4662	110	14	have	have	VERB
ejpam-4662	110	15	a	a	DET
ejpam-4662	110	16	sequence	sequence	NOUN
ejpam-4662	110	17	of	of	ADP
ejpam-4662	110	18	strong	strong	ADJ
ejpam-4662	110	19	lower	low	ADJ
ejpam-4662	110	20	record	record	NOUN
ejpam-4662	110	21	values	value	NOUN
ejpam-4662	110	22	y(k	y(k	PROPN
ejpam-4662	110	23	)	)	PUNCT
ejpam-4662	110	24	=	=	PUNCT
ejpam-4662	110	25	yℓ(k	yℓ(k	NUM
ejpam-4662	110	26	)	)	PUNCT
ejpam-4662	110	27	,	,	PUNCT
ejpam-4662	110	28	1	1	NUM
ejpam-4662	110	29	≤	≤	NUM
ejpam-4662	110	30	k	k	PROPN
ejpam-4662	110	31	≤	≤	PROPN
ejpam-4662	110	32	n.	n.	NOUN
ejpam-4662	110	33	there	there	PRON
ejpam-4662	110	34	are	be	VERB
ejpam-4662	110	35	many	many	ADJ
ejpam-4662	110	36	results	result	NOUN
ejpam-4662	110	37	on	on	ADP
ejpam-4662	110	38	probability	probability	NOUN
ejpam-4662	110	39	laws	law	NOUN
ejpam-4662	110	40	of	of	ADP
ejpam-4662	110	41	record	record	NOUN
ejpam-4662	110	42	values	value	NOUN
ejpam-4662	110	43	and	and	CCONJ
ejpam-4662	110	44	record	record	NOUN
ejpam-4662	110	45	times	time	NOUN
ejpam-4662	110	46	,	,	PUNCT
ejpam-4662	110	47	especially	especially	ADV
ejpam-4662	110	48	for	for	ADP
ejpam-4662	110	49	iid	iid	NOUN
ejpam-4662	110	50	random	random	ADJ
ejpam-4662	110	51	variables	variable	NOUN
ejpam-4662	110	52	with	with	ADP
ejpam-4662	110	53	common	common	ADJ
ejpam-4662	110	54	cdf	cdf	PROPN
ejpam-4662	110	55	f	f	PROPN
ejpam-4662	110	56	,	,	PUNCT
ejpam-4662	110	57	eventually	eventually	ADV
ejpam-4662	110	58	associated	associate	VERB
ejpam-4662	110	59	with	with	ADP
ejpam-4662	110	60	the	the	DET
ejpam-4662	110	61	pdf	pdf	NOUN
ejpam-4662	110	62	f	f	PROPN
ejpam-4662	110	63	with	with	ADP
ejpam-4662	110	64	respect	respect	NOUN
ejpam-4662	110	65	to	to	ADP
ejpam-4662	110	66	the	the	DET
ejpam-4662	110	67	lebesgue	lebesgue	NOUN
ejpam-4662	110	68	measure	measure	NOUN
ejpam-4662	110	69	λ	λ	X
ejpam-4662	110	70	[	[	PUNCT
ejpam-4662	110	71	or	or	CCONJ
ejpam-4662	110	72	iid	iid	VERB
ejpam-4662	110	73	random	random	ADJ
ejpam-4662	110	74	variables	variable	NOUN
ejpam-4662	110	75	with	with	ADP
ejpam-4662	110	76	common	common	ADJ
ejpam-4662	110	77	mass	mass	NOUN
ejpam-4662	110	78	probability	probability	NOUN
ejpam-4662	110	79	functions	function	NOUN
ejpam-4662	110	80	p	p	X
ejpam-4662	110	81	]	]	PUNCT
ejpam-4662	110	82	.	.	PUNCT
ejpam-4662	111	1	important	important	ADJ
ejpam-4662	111	2	books	book	NOUN
ejpam-4662	111	3	introduce	introduce	VERB
ejpam-4662	111	4	the	the	DET
ejpam-4662	111	5	the	the	DET
ejpam-4662	111	6	study	study	NOUN
ejpam-4662	111	7	of	of	ADP
ejpam-4662	111	8	records	record	NOUN
ejpam-4662	111	9	in	in	ADP
ejpam-4662	111	10	the	the	DET
ejpam-4662	111	11	iid	iid	NOUN
ejpam-4662	111	12	scheme	scheme	NOUN
ejpam-4662	111	13	,	,	PUNCT
ejpam-4662	111	14	such	such	ADJ
ejpam-4662	111	15	as	as	ADP
ejpam-4662	111	16	[	[	X
ejpam-4662	111	17	17	17	NUM
ejpam-4662	111	18	]	]	PUNCT
ejpam-4662	111	19	,	,	PUNCT
ejpam-4662	111	20	[	[	X
ejpam-4662	111	21	1	1	NUM
ejpam-4662	111	22	]	]	PUNCT
ejpam-4662	111	23	,	,	PUNCT
ejpam-4662	111	24	[	[	X
ejpam-4662	111	25	2	2	NUM
ejpam-4662	111	26	]	]	PUNCT
ejpam-4662	111	27	,	,	PUNCT
ejpam-4662	111	28	[	[	X
ejpam-4662	111	29	3	3	NUM
ejpam-4662	111	30	]	]	PUNCT
ejpam-4662	111	31	,	,	PUNCT
ejpam-4662	111	32	[	[	X
ejpam-4662	111	33	4	4	NUM
ejpam-4662	111	34	]	]	PUNCT
ejpam-4662	111	35	,	,	PUNCT
ejpam-4662	111	36	[	[	X
ejpam-4662	111	37	6	6	NUM
ejpam-4662	111	38	]	]	PUNCT
ejpam-4662	111	39	,	,	PUNCT
ejpam-4662	111	40	etc	etc	X
ejpam-4662	111	41	.	.	X
ejpam-4662	111	42	also	also	ADV
ejpam-4662	111	43	,	,	PUNCT
ejpam-4662	111	44	statistical	statistical	ADJ
ejpam-4662	111	45	applications	application	NOUN
ejpam-4662	111	46	are	be	AUX
ejpam-4662	111	47	largely	largely	ADV
ejpam-4662	111	48	available	available	ADJ
ejpam-4662	111	49	and	and	CCONJ
ejpam-4662	111	50	characterization	characterization	NOUN
ejpam-4662	111	51	problems	problem	NOUN
ejpam-4662	111	52	involving	involve	VERB
ejpam-4662	111	53	functional	functional	ADJ
ejpam-4662	111	54	equations	equation	NOUN
ejpam-4662	111	55	(	(	PUNCT
ejpam-4662	111	56	see	see	VERB
ejpam-4662	111	57	[	[	X
ejpam-4662	111	58	1	1	NUM
ejpam-4662	111	59	]	]	PUNCT
ejpam-4662	111	60	,	,	PUNCT
ejpam-4662	112	1	[	[	X
ejpam-4662	112	2	17	17	NUM
ejpam-4662	112	3	]	]	PUNCT
ejpam-4662	112	4	,	,	PUNCT
ejpam-4662	112	5	[	[	X
ejpam-4662	112	6	19	19	NUM
ejpam-4662	112	7	]	]	PUNCT
ejpam-4662	112	8	,	,	PUNCT
ejpam-4662	112	9	etc	etc	X
ejpam-4662	112	10	.	.	X
ejpam-4662	112	11	)	)	PUNCT
ejpam-4662	112	12	.	.	PUNCT
ejpam-4662	113	1	in	in	ADP
ejpam-4662	113	2	a	a	DET
ejpam-4662	113	3	recent	recent	ADJ
ejpam-4662	113	4	paper	paper	NOUN
ejpam-4662	113	5	,	,	PUNCT
ejpam-4662	113	6	we	we	PRON
ejpam-4662	113	7	are	be	AUX
ejpam-4662	113	8	interesting	interesting	ADJ
ejpam-4662	113	9	in	in	ADP
ejpam-4662	113	10	finding	find	VERB
ejpam-4662	113	11	the	the	DET
ejpam-4662	113	12	asymptotic	asymptotic	ADJ
ejpam-4662	113	13	laws	law	NOUN
ejpam-4662	113	14	of	of	ADP
ejpam-4662	113	15	records	record	NOUN
ejpam-4662	113	16	values	value	NOUN
ejpam-4662	113	17	of	of	ADP
ejpam-4662	113	18	elements	element	NOUN
ejpam-4662	113	19	of	of	ADP
ejpam-4662	113	20	burr	burr	NOUN
ejpam-4662	113	21	’s	’s	PART
ejpam-4662	113	22	family	family	NOUN
ejpam-4662	113	23	.	.	PUNCT
ejpam-4662	114	1	in	in	ADP
ejpam-4662	114	2	that	that	DET
ejpam-4662	114	3	extent	extent	NOUN
ejpam-4662	114	4	,	,	PUNCT
ejpam-4662	114	5	we	we	PRON
ejpam-4662	114	6	will	will	AUX
ejpam-4662	114	7	mainly	mainly	ADV
ejpam-4662	114	8	follow	follow	VERB
ejpam-4662	114	9	[	[	X
ejpam-4662	114	10	15	15	NUM
ejpam-4662	114	11	]	]	PUNCT
ejpam-4662	114	12	who	who	PRON
ejpam-4662	114	13	provided	provide	VERB
ejpam-4662	114	14	practical	practical	ADJ
ejpam-4662	114	15	methods	method	NOUN
ejpam-4662	114	16	of	of	ADP
ejpam-4662	114	17	finding	find	VERB
ejpam-4662	114	18	the	the	DET
ejpam-4662	114	19	asymptotic	asymptotic	ADJ
ejpam-4662	114	20	law	law	NOUN
ejpam-4662	114	21	of	of	ADP
ejpam-4662	114	22	record	record	NOUN
ejpam-4662	114	23	values	value	NOUN
ejpam-4662	114	24	depending	depend	VERB
ejpam-4662	114	25	,	,	PUNCT
ejpam-4662	114	26	in	in	ADP
ejpam-4662	114	27	general	general	ADJ
ejpam-4662	114	28	,	,	PUNCT
ejpam-4662	114	29	on	on	ADP
ejpam-4662	114	30	the	the	DET
ejpam-4662	114	31	extreme	extreme	ADJ
ejpam-4662	114	32	value	value	NOUN
ejpam-4662	114	33	attraction	attraction	NOUN
ejpam-4662	114	34	domain	domain	NOUN
ejpam-4662	114	35	of	of	ADP
ejpam-4662	114	36	a	a	DET
ejpam-4662	114	37	distribution	distribution	NOUN
ejpam-4662	114	38	f	f	NOUN
ejpam-4662	114	39	.	.	PUNCT
ejpam-4662	115	1	we	we	PRON
ejpam-4662	115	2	intend	intend	VERB
ejpam-4662	115	3	to	to	PART
ejpam-4662	115	4	use	use	VERB
ejpam-4662	115	5	such	such	ADJ
ejpam-4662	115	6	results	result	NOUN
ejpam-4662	115	7	to	to	ADP
ejpam-4662	115	8	the	the	DET
ejpam-4662	115	9	burr	burr	NOUN
ejpam-4662	115	10	’s	’s	PART
ejpam-4662	115	11	family	family	NOUN
ejpam-4662	115	12	.	.	PUNCT
ejpam-4662	116	1	let	let	VERB
ejpam-4662	116	2	us	we	PRON
ejpam-4662	116	3	broaden	broaden	VERB
ejpam-4662	116	4	the	the	DET
ejpam-4662	116	5	notation	notation	NOUN
ejpam-4662	116	6	in	in	ADP
ejpam-4662	116	7	order	order	NOUN
ejpam-4662	116	8	to	to	PART
ejpam-4662	116	9	be	be	AUX
ejpam-4662	116	10	able	able	ADJ
ejpam-4662	116	11	to	to	PART
ejpam-4662	116	12	expose	expose	VERB
ejpam-4662	116	13	the	the	DET
ejpam-4662	116	14	main	main	ADJ
ejpam-4662	116	15	theorem	theorem	NOUN
ejpam-4662	116	16	of	of	ADP
ejpam-4662	116	17	the	the	DET
ejpam-4662	116	18	cited	cite	VERB
ejpam-4662	116	19	authors	author	NOUN
ejpam-4662	116	20	.	.	PUNCT
ejpam-4662	117	1	given	give	VERB
ejpam-4662	117	2	the	the	DET
ejpam-4662	117	3	sequence	sequence	NOUN
ejpam-4662	117	4	defined	define	VERB
ejpam-4662	117	5	above	above	ADV
ejpam-4662	117	6	,	,	PUNCT
ejpam-4662	117	7	we	we	PRON
ejpam-4662	117	8	consider	consider	VERB
ejpam-4662	117	9	the	the	DET
ejpam-4662	117	10	sequence	sequence	NOUN
ejpam-4662	117	11	of	of	ADP
ejpam-4662	117	12	strong	strong	ADJ
ejpam-4662	117	13	record	record	NOUN
ejpam-4662	117	14	values	value	NOUN
ejpam-4662	117	15	x(1	x(1	PRON
ejpam-4662	117	16	)	)	PUNCT
ejpam-4662	118	1	=	=	SYM
ejpam-4662	118	2	x1	x1	PROPN
ejpam-4662	118	3	,	,	PUNCT
ejpam-4662	118	4	x	x	X
ejpam-4662	118	5	(	(	PUNCT
ejpam-4662	118	6	n	n	CCONJ
ejpam-4662	118	7	)	)	PUNCT
ejpam-4662	118	8	,	,	PUNCT
ejpam-4662	118	9	·	·	PUNCT
ejpam-4662	118	10	·	·	PUNCT
ejpam-4662	118	11	·	·	PUNCT
ejpam-4662	118	12	and	and	CCONJ
ejpam-4662	118	13	the	the	DET
ejpam-4662	118	14	sequence	sequence	NOUN
ejpam-4662	118	15	of	of	ADP
ejpam-4662	118	16	record	record	NOUN
ejpam-4662	118	17	times	times	PROPN
ejpam-4662	118	18	u(1	u(1	PROPN
ejpam-4662	118	19	)	)	PUNCT
ejpam-4662	118	20	=	=	SYM
ejpam-4662	118	21	1	1	NUM
ejpam-4662	118	22	,	,	PUNCT
ejpam-4662	118	23	u(2	u(2	NOUN
ejpam-4662	118	24	)	)	PUNCT
ejpam-4662	118	25	,	,	PUNCT
ejpam-4662	118	26	·	·	PUNCT
ejpam-4662	118	27	·	·	PUNCT
ejpam-4662	118	28	·	·	PUNCT
ejpam-4662	118	29	.	.	PUNCT
ejpam-4662	119	1	some	some	DET
ejpam-4662	119	2	conditions	condition	NOUN
ejpam-4662	119	3	depend	depend	VERB
ejpam-4662	119	4	on	on	ADP
ejpam-4662	119	5	a	a	DET
ejpam-4662	119	6	sequence	sequence	NOUN
ejpam-4662	119	7	of	of	ADP
ejpam-4662	119	8	finite	finite	ADJ
ejpam-4662	119	9	sum	sum	NOUN
ejpam-4662	119	10	of	of	ADP
ejpam-4662	119	11	n	n	CCONJ
ejpam-4662	119	12	standard	standard	ADJ
ejpam-4662	119	13	exponential	exponential	ADJ
ejpam-4662	119	14	random	random	ADJ
ejpam-4662	119	15	variables	variable	NOUN
ejpam-4662	119	16	,	,	PUNCT
ejpam-4662	119	17	n	n	PRON
ejpam-4662	119	18	≥	≥	NOUN
ejpam-4662	119	19	1	1	NUM
ejpam-4662	119	20	,	,	PUNCT
ejpam-4662	119	21	s(n	s(n	NOUN
ejpam-4662	119	22	)	)	PUNCT
ejpam-4662	119	23	=	=	SYM
ejpam-4662	119	24	e1,n	e1,n	PROPN
ejpam-4662	119	25	+	+	CCONJ
ejpam-4662	119	26	·	·	PUNCT
ejpam-4662	119	27	·	·	PUNCT
ejpam-4662	119	28	·	·	PUNCT
ejpam-4662	120	1	+	+	X
ejpam-4662	120	2	en	en	X
ejpam-4662	120	3	,	,	PUNCT
ejpam-4662	120	4	n	n	CCONJ
ejpam-4662	120	5	,	,	PUNCT
ejpam-4662	120	6	and	and	CCONJ
ejpam-4662	120	7	we	we	PRON
ejpam-4662	120	8	denote	denote	VERB
ejpam-4662	120	9	vn	vn	PROPN
ejpam-4662	120	10	=	=	SYM
ejpam-4662	120	11	exp(−s(n	exp(−s(n	PROPN
ejpam-4662	120	12	)	)	PUNCT
ejpam-4662	120	13	)	)	PUNCT
ejpam-4662	120	14	and	and	CCONJ
ejpam-4662	120	15	vn	vn	X
ejpam-4662	120	16	=	=	SYM
ejpam-4662	120	17	exp(−n	exp(−n	PROPN
ejpam-4662	120	18	)	)	PUNCT
ejpam-4662	120	19	,	,	PUNCT
ejpam-4662	120	20	n	n	X
ejpam-4662	120	21	≥	≥	NOUN
ejpam-4662	120	22	1	1	NUM
ejpam-4662	120	23	.	.	PUNCT
ejpam-4662	121	1	from	from	ADP
ejpam-4662	121	2	this	this	PRON
ejpam-4662	121	3	,	,	PUNCT
ejpam-4662	121	4	we	we	PRON
ejpam-4662	121	5	may	may	AUX
ejpam-4662	121	6	set	set	VERB
ejpam-4662	121	7	(	(	PUNCT
ejpam-4662	121	8	ha	ha	INTJ
ejpam-4662	121	9	)	)	PUNCT
ejpam-4662	121	10	:	:	PUNCT
ejpam-4662	121	11	sup	sup	NOUN
ejpam-4662	121	12	{	{	PUNCT
ejpam-4662	121	13	∣∣∣∣s(u)s(v	∣∣∣∣s(u)s(v	NOUN
ejpam-4662	121	14	)	)	PUNCT
ejpam-4662	121	15	−	−	PROPN
ejpam-4662	121	16	1	1	NUM
ejpam-4662	121	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4662	121	18	,	,	PUNCT
ejpam-4662	121	19	min(vn	min(vn	PROPN
ejpam-4662	121	20	,	,	PUNCT
ejpam-4662	121	21	vn	vn	NOUN
ejpam-4662	121	22	)	)	PUNCT
ejpam-4662	121	23	≤	≤	NOUN
ejpam-4662	121	24	u	u	NOUN
ejpam-4662	121	25	,	,	PUNCT
ejpam-4662	121	26	v	v	ADJ
ejpam-4662	121	27	≤	≤	NUM
ejpam-4662	121	28	max(vn	max(vn	NOUN
ejpam-4662	121	29	,	,	PUNCT
ejpam-4662	121	30	vn	vn	PROPN
ejpam-4662	121	31	)	)	PUNCT
ejpam-4662	121	32	}	}	PUNCT
ejpam-4662	121	33	→p	→p	PROPN
ejpam-4662	121	34	0	0	PUNCT
ejpam-4662	121	35	as	as	ADP
ejpam-4662	121	36	n	n	PROPN
ejpam-4662	121	37	→	→	SYM
ejpam-4662	121	38	+	+	PROPN
ejpam-4662	121	39	∞	∞	PROPN
ejpam-4662	121	40	,	,	PUNCT
ejpam-4662	121	41	s.	s.	PROPN
ejpam-4662	121	42	dembele	dembele	PROPN
ejpam-4662	121	43	et	et	PROPN
ejpam-4662	121	44	al	al	PROPN
ejpam-4662	121	45	.	.	PUNCT
ejpam-4662	121	46	/	/	SYM
ejpam-4662	121	47	eur	eur	PROPN
ejpam-4662	121	48	.	.	PUNCT
ejpam-4662	122	1	j.	j.	PROPN
ejpam-4662	122	2	pure	pure	PROPN
ejpam-4662	122	3	appl	appl	PROPN
ejpam-4662	122	4	.	.	PROPN
ejpam-4662	122	5	math	math	PROPN
ejpam-4662	122	6	,	,	PUNCT
ejpam-4662	122	7	16	16	NUM
ejpam-4662	122	8	(	(	PUNCT
ejpam-4662	122	9	1	1	NUM
ejpam-4662	122	10	)	)	PUNCT
ejpam-4662	122	11	(	(	PUNCT
ejpam-4662	122	12	2023	2023	NUM
ejpam-4662	122	13	)	)	PUNCT
ejpam-4662	122	14	,	,	PUNCT
ejpam-4662	122	15	609	609	NUM
ejpam-4662	122	16	-	-	SYM
ejpam-4662	122	17	656	656	NUM
ejpam-4662	122	18	615	615	NUM
ejpam-4662	122	19	(	(	PUNCT
ejpam-4662	122	20	hb	hb	X
ejpam-4662	122	21	)	)	PUNCT
ejpam-4662	122	22	:	:	PUNCT
ejpam-4662	122	23	(	(	PUNCT
ejpam-4662	122	24	∃α	∃α	X
ejpam-4662	122	25	>	>	X
ejpam-4662	122	26	0	0	NUM
ejpam-4662	122	27	)	)	PUNCT
ejpam-4662	122	28	,	,	PUNCT
ejpam-4662	122	29	√	√	PROPN
ejpam-4662	122	30	n	n	PRON
ejpam-4662	122	31	s(vn	s(vn	NUM
ejpam-4662	122	32	)	)	PUNCT
ejpam-4662	122	33	→	→	SYM
ejpam-4662	122	34	α	α	PROPN
ejpam-4662	122	35	as	as	ADP
ejpam-4662	122	36	n	n	PROPN
ejpam-4662	122	37	→	→	SYM
ejpam-4662	122	38	+	+	PROPN
ejpam-4662	122	39	∞	∞	PROPN
ejpam-4662	122	40	,	,	PUNCT
ejpam-4662	122	41	where	where	SCONJ
ejpam-4662	122	42	→p	→p	PROPN
ejpam-4662	122	43	stands	stand	VERB
ejpam-4662	122	44	for	for	ADP
ejpam-4662	122	45	the	the	DET
ejpam-4662	122	46	convergence	convergence	NOUN
ejpam-4662	122	47	in	in	ADP
ejpam-4662	122	48	probability	probability	NOUN
ejpam-4662	122	49	.	.	PUNCT
ejpam-4662	123	1	[	[	X
ejpam-4662	123	2	15	15	NUM
ejpam-4662	123	3	]	]	PUNCT
ejpam-4662	123	4	obtained	obtain	VERB
ejpam-4662	123	5	the	the	DET
ejpam-4662	123	6	results	result	NOUN
ejpam-4662	123	7	below	below	ADP
ejpam-4662	123	8	that	that	PRON
ejpam-4662	123	9	cover	cover	VERB
ejpam-4662	123	10	the	the	DET
ejpam-4662	123	11	whole	whole	ADJ
ejpam-4662	123	12	extreme	extreme	ADJ
ejpam-4662	123	13	value	value	NOUN
ejpam-4662	123	14	domain	domain	NOUN
ejpam-4662	123	15	of	of	ADP
ejpam-4662	123	16	attraction	attraction	NOUN
ejpam-4662	123	17	.	.	PUNCT
ejpam-4662	124	1	let	let	VERB
ejpam-4662	124	2	us	we	PRON
ejpam-4662	124	3	begin	begin	VERB
ejpam-4662	124	4	by	by	ADP
ejpam-4662	124	5	asymptotic	asymptotic	ADJ
ejpam-4662	124	6	laws	law	NOUN
ejpam-4662	124	7	for	for	ADP
ejpam-4662	124	8	f	f	PROPN
ejpam-4662	124	9	∈	∈	PROPN
ejpam-4662	124	10	d	d	X
ejpam-4662	124	11	=	=	SYM
ejpam-4662	124	12	d(gγ	d(gγ	PROPN
ejpam-4662	124	13	)	)	PUNCT
ejpam-4662	124	14	,	,	PUNCT
ejpam-4662	124	15	γ	γ	PROPN
ejpam-4662	124	16	∈	∈	PROPN
ejpam-4662	124	17	r.	r.	PROPN
ejpam-4662	124	18	theorem	theorem	NOUN
ejpam-4662	124	19	1	1	X
ejpam-4662	124	20	.	.	PUNCT
ejpam-4662	125	1	let	let	VERB
ejpam-4662	125	2	f	f	PROPN
ejpam-4662	125	3	∈	∈	PROPN
ejpam-4662	125	4	d.	d.	PROPN
ejpam-4662	125	5	we	we	PRON
ejpam-4662	125	6	have	have	VERB
ejpam-4662	125	7	:	:	PUNCT
ejpam-4662	125	8	(	(	PUNCT
ejpam-4662	125	9	a	a	X
ejpam-4662	125	10	)	)	PUNCT
ejpam-4662	125	11	if	if	SCONJ
ejpam-4662	125	12	γ	γ	X
ejpam-4662	125	13	>	>	X
ejpam-4662	125	14	0	0	PROPN
ejpam-4662	125	15	,	,	PUNCT
ejpam-4662	125	16	the	the	DET
ejpam-4662	125	17	asymptotic	asymptotic	ADJ
ejpam-4662	125	18	law	law	NOUN
ejpam-4662	125	19	of	of	ADP
ejpam-4662	125	20	x(n	x(n	NOUN
ejpam-4662	125	21	)	)	PUNCT
ejpam-4662	125	22	is	be	AUX
ejpam-4662	125	23	lognormal	lognormal	ADJ
ejpam-4662	125	24	,	,	PUNCT
ejpam-4662	126	1	precisely	precisely	ADV
ejpam-4662	126	2	(	(	PUNCT
ejpam-4662	126	3	x(n	x(n	NOUN
ejpam-4662	126	4	)	)	PUNCT
ejpam-4662	126	5	f−1	f−1	PROPN
ejpam-4662	126	6	(	(	PUNCT
ejpam-4662	126	7	1−	1−	NUM
ejpam-4662	126	8	e−n	e−n	PROPN
ejpam-4662	126	9	)	)	PUNCT
ejpam-4662	126	10	)	)	PUNCT
ejpam-4662	127	1	n−1/2	n−1/2	PROPN
ejpam-4662	127	2	⇝	⇝	NOUN
ejpam-4662	127	3	ln(0	ln(0	PROPN
ejpam-4662	127	4	,	,	PUNCT
ejpam-4662	127	5	γ2	γ2	NOUN
ejpam-4662	127	6	)	)	PUNCT
ejpam-4662	127	7	,	,	PUNCT
ejpam-4662	127	8	where	where	SCONJ
ejpam-4662	127	9	ln(m	ln(m	NOUN
ejpam-4662	127	10	,	,	PUNCT
ejpam-4662	127	11	σ2	σ2	PROPN
ejpam-4662	127	12	)	)	PUNCT
ejpam-4662	127	13	is	be	AUX
ejpam-4662	127	14	the	the	DET
ejpam-4662	127	15	lognormal	lognormal	ADJ
ejpam-4662	127	16	law	law	NOUN
ejpam-4662	127	17	of	of	ADP
ejpam-4662	127	18	parameters	parameter	NOUN
ejpam-4662	127	19	m	m	VERB
ejpam-4662	127	20	and	and	CCONJ
ejpam-4662	127	21	σ	σ	NOUN
ejpam-4662	127	22	>	>	X
ejpam-4662	127	23	0	0	NUM
ejpam-4662	127	24	.	.	PUNCT
ejpam-4662	128	1	(	(	PUNCT
ejpam-4662	128	2	b	b	X
ejpam-4662	128	3	)	)	PUNCT
ejpam-4662	128	4	if	if	SCONJ
ejpam-4662	128	5	γ	γ	X
ejpam-4662	128	6	>	>	X
ejpam-4662	128	7	0	0	PUNCT
ejpam-4662	129	1	and	and	CCONJ
ejpam-4662	129	2	x	x	ADJ
ejpam-4662	129	3	>	>	X
ejpam-4662	129	4	0	0	PROPN
ejpam-4662	129	5	,	,	PUNCT
ejpam-4662	129	6	y	y	NOUN
ejpam-4662	129	7	=	=	PUNCT
ejpam-4662	129	8	logx	logx	PROPN
ejpam-4662	129	9	∈	∈	PROPN
ejpam-4662	129	10	d(gγ	d(gγ	PROPN
ejpam-4662	129	11	)	)	PUNCT
ejpam-4662	129	12	and	and	CCONJ
ejpam-4662	129	13	r(x	r(x	PROPN
ejpam-4662	129	14	,	,	PUNCT
ejpam-4662	129	15	g	g	NOUN
ejpam-4662	129	16	)	)	PUNCT
ejpam-4662	129	17	→	→	SYM
ejpam-4662	129	18	γ	γ	X
ejpam-4662	129	19	as	as	ADP
ejpam-4662	129	20	x	x	X
ejpam-4662	129	21	→	→	SYM
ejpam-4662	129	22	uep(g	uep(g	NOUN
ejpam-4662	129	23	)	)	PUNCT
ejpam-4662	130	1	and	and	CCONJ
ejpam-4662	130	2	we	we	PRON
ejpam-4662	130	3	have	have	VERB
ejpam-4662	130	4	y	y	PROPN
ejpam-4662	130	5	(	(	PUNCT
ejpam-4662	130	6	n	n	CCONJ
ejpam-4662	130	7	)	)	PUNCT
ejpam-4662	130	8	−g−1	−g−1	X
ejpam-4662	131	1	(	(	PUNCT
ejpam-4662	131	2	1−	1−	NUM
ejpam-4662	131	3	e−n)√	e−n)√	NOUN
ejpam-4662	131	4	n	n	CCONJ
ejpam-4662	131	5	⇝	⇝	NOUN
ejpam-4662	131	6	n	n	CCONJ
ejpam-4662	131	7	(	(	PUNCT
ejpam-4662	131	8	0	0	NUM
ejpam-4662	131	9	,	,	PUNCT
ejpam-4662	131	10	γ2	γ2	NOUN
ejpam-4662	131	11	)	)	PUNCT
ejpam-4662	131	12	.	.	PUNCT
ejpam-4662	132	1	(	(	PUNCT
ejpam-4662	132	2	c	c	X
ejpam-4662	132	3	)	)	PUNCT
ejpam-4662	132	4	if	if	SCONJ
ejpam-4662	132	5	γ	γ	X
ejpam-4662	132	6	<	<	X
ejpam-4662	132	7	0	0	NUM
ejpam-4662	132	8	,	,	PUNCT
ejpam-4662	132	9	the	the	DET
ejpam-4662	132	10	asymptotic	asymptotic	ADJ
ejpam-4662	132	11	law	law	NOUN
ejpam-4662	132	12	of	of	ADP
ejpam-4662	132	13	x(n	x(n	NOUN
ejpam-4662	132	14	)	)	PUNCT
ejpam-4662	132	15	is	be	AUX
ejpam-4662	132	16	lognormal	lognormal	ADJ
ejpam-4662	132	17	,	,	PUNCT
ejpam-4662	132	18	precisely	precisely	ADV
ejpam-4662	132	19	(	(	PUNCT
ejpam-4662	132	20	uep(f	uep(f	PROPN
ejpam-4662	132	21	)	)	PUNCT
ejpam-4662	132	22	−x(n	−x(n	PROPN
ejpam-4662	132	23	)	)	PUNCT
ejpam-4662	132	24	uep(f	uep(f	PROPN
ejpam-4662	132	25	)	)	PUNCT
ejpam-4662	133	1	−	−	PROPN
ejpam-4662	133	2	f−1	f−1	PROPN
ejpam-4662	133	3	(	(	PUNCT
ejpam-4662	133	4	1−	1−	NUM
ejpam-4662	133	5	e−n	e−n	PROPN
ejpam-4662	133	6	)	)	PUNCT
ejpam-4662	133	7	)	)	PUNCT
ejpam-4662	134	1	n−1/2	n−1/2	PROPN
ejpam-4662	134	2	⇝	⇝	X
ejpam-4662	134	3	exp(n	exp(n	PROPN
ejpam-4662	134	4	(	(	PUNCT
ejpam-4662	134	5	0	0	NUM
ejpam-4662	134	6	,	,	PUNCT
ejpam-4662	134	7	γ2	γ2	NOUN
ejpam-4662	134	8	)	)	PUNCT
ejpam-4662	134	9	)	)	PUNCT
ejpam-4662	134	10	.	.	PUNCT
ejpam-4662	135	1	(	(	PUNCT
ejpam-4662	135	2	d	d	X
ejpam-4662	135	3	)	)	PUNCT
ejpam-4662	135	4	suppose	suppose	VERB
ejpam-4662	135	5	that	that	SCONJ
ejpam-4662	135	6	γ	γ	PROPN
ejpam-4662	135	7	=	=	SYM
ejpam-4662	135	8	0	0	PROPN
ejpam-4662	135	9	and	and	CCONJ
ejpam-4662	135	10	r(x	r(x	PROPN
ejpam-4662	135	11	,	,	PUNCT
ejpam-4662	135	12	g	g	NOUN
ejpam-4662	135	13	)	)	PUNCT
ejpam-4662	135	14	→	→	SYM
ejpam-4662	135	15	0	0	PUNCT
ejpam-4662	135	16	as	as	ADP
ejpam-4662	135	17	x	x	X
ejpam-4662	135	18	→	→	SYM
ejpam-4662	135	19	uep(g	uep(g	NOUN
ejpam-4662	135	20	)	)	PUNCT
ejpam-4662	135	21	.	.	PUNCT
ejpam-4662	136	1	if	if	SCONJ
ejpam-4662	136	2	(	(	PUNCT
ejpam-4662	136	3	ha	ha	INTJ
ejpam-4662	136	4	)	)	PUNCT
ejpam-4662	136	5	and	and	CCONJ
ejpam-4662	136	6	(	(	PUNCT
ejpam-4662	136	7	hb	hb	X
ejpam-4662	136	8	)	)	PUNCT
ejpam-4662	136	9	hold	hold	VERB
ejpam-4662	136	10	both	both	PRON
ejpam-4662	136	11	,	,	PUNCT
ejpam-4662	136	12	we	we	PRON
ejpam-4662	136	13	have	have	VERB
ejpam-4662	136	14	x(n	x(n	NOUN
ejpam-4662	136	15	)	)	PUNCT
ejpam-4662	137	1	−	−	PROPN
ejpam-4662	137	2	f−1	f−1	PROPN
ejpam-4662	137	3	(	(	PUNCT
ejpam-4662	137	4	1−	1−	NUM
ejpam-4662	137	5	e−n	e−n	PROPN
ejpam-4662	137	6	)	)	PUNCT
ejpam-4662	137	7	⇝	⇝	X
ejpam-4662	137	8	n	n	CCONJ
ejpam-4662	137	9	(	(	PUNCT
ejpam-4662	137	10	0	0	NUM
ejpam-4662	137	11	,	,	PUNCT
ejpam-4662	137	12	α2	α2	ADJ
ejpam-4662	137	13	)	)	PUNCT
ejpam-4662	137	14	.	.	PUNCT
ejpam-4662	138	1	more	more	ADV
ejpam-4662	138	2	precisely	precisely	ADV
ejpam-4662	138	3	,	,	PUNCT
ejpam-4662	138	4	we	we	PRON
ejpam-4662	138	5	have	have	AUX
ejpam-4662	138	6	:	:	PUNCT
ejpam-4662	138	7	given	give	VERB
ejpam-4662	138	8	γ	γ	PROPN
ejpam-4662	138	9	=	=	SYM
ejpam-4662	138	10	0	0	NUM
ejpam-4662	138	11	,	,	PUNCT
ejpam-4662	138	12	r(x	r(x	PROPN
ejpam-4662	138	13	,	,	PUNCT
ejpam-4662	138	14	g	g	NOUN
ejpam-4662	138	15	)	)	PUNCT
ejpam-4662	138	16	→	→	SYM
ejpam-4662	138	17	0	0	PUNCT
ejpam-4662	138	18	as	as	SCONJ
ejpam-4662	138	19	x	x	X
ejpam-4662	138	20	→	→	SYM
ejpam-4662	138	21	uep(g	uep(g	NOUN
ejpam-4662	138	22	)	)	PUNCT
ejpam-4662	138	23	and	and	CCONJ
ejpam-4662	138	24	(	(	PUNCT
ejpam-4662	138	25	ha	ha	INTJ
ejpam-4662	138	26	)	)	PUNCT
ejpam-4662	138	27	,	,	PUNCT
ejpam-4662	138	28	the	the	DET
ejpam-4662	138	29	above	above	ADJ
ejpam-4662	138	30	asymptotic	asymptotic	ADJ
ejpam-4662	138	31	normality	normality	NOUN
ejpam-4662	138	32	is	be	AUX
ejpam-4662	138	33	valid	valid	ADJ
ejpam-4662	138	34	if	if	SCONJ
ejpam-4662	138	35	and	and	CCONJ
ejpam-4662	138	36	only	only	ADV
ejpam-4662	138	37	if	if	SCONJ
ejpam-4662	138	38	(	(	PUNCT
ejpam-4662	138	39	hb	hb	NOUN
ejpam-4662	138	40	)	)	PUNCT
ejpam-4662	138	41	holds	hold	VERB
ejpam-4662	138	42	.	.	PUNCT
ejpam-4662	139	1	the	the	DET
ejpam-4662	139	2	theorem	theorem	NOUN
ejpam-4662	139	3	can	can	AUX
ejpam-4662	139	4	be	be	AUX
ejpam-4662	139	5	extended	extend	VERB
ejpam-4662	139	6	outside	outside	ADP
ejpam-4662	139	7	the	the	DET
ejpam-4662	139	8	extreme	extreme	ADJ
ejpam-4662	139	9	domain	domain	NOUN
ejpam-4662	139	10	of	of	ADP
ejpam-4662	139	11	attraction	attraction	NOUN
ejpam-4662	139	12	as	as	SCONJ
ejpam-4662	139	13	follows	follow	VERB
ejpam-4662	139	14	.	.	PUNCT
ejpam-4662	140	1	suppose	suppose	VERB
ejpam-4662	140	2	that	that	SCONJ
ejpam-4662	140	3	:	:	PUNCT
ejpam-4662	140	4	(	(	PUNCT
ejpam-4662	140	5	ga	ga	NOUN
ejpam-4662	140	6	)	)	PUNCT
ejpam-4662	140	7	uep(f	uep(f	PROPN
ejpam-4662	140	8	)	)	PUNCT
ejpam-4662	141	1	=	=	PUNCT
ejpam-4662	142	1	+	+	PUNCT
ejpam-4662	142	2	∞	∞	NUM
ejpam-4662	142	3	and	and	CCONJ
ejpam-4662	142	4	f	f	PROPN
ejpam-4662	142	5	is	be	AUX
ejpam-4662	142	6	differentiable	differentiable	ADJ
ejpam-4662	142	7	in	in	ADP
ejpam-4662	142	8	some	some	DET
ejpam-4662	142	9	neighborhood	neighborhood	NOUN
ejpam-4662	142	10	of	of	ADP
ejpam-4662	142	11	]	]	X
ejpam-4662	142	12	x0	x0	PROPN
ejpam-4662	142	13	,	,	PUNCT
ejpam-4662	142	14	+	+	NOUN
ejpam-4662	142	15	∞	∞	PROPN
ejpam-4662	142	16	[	[	X
ejpam-4662	142	17	.	.	PUNCT
ejpam-4662	143	1	(	(	PUNCT
ejpam-4662	143	2	gb	gb	NOUN
ejpam-4662	143	3	)	)	PUNCT
ejpam-4662	143	4	the	the	DET
ejpam-4662	143	5	function	function	NOUN
ejpam-4662	143	6	s(x	s(x	PROPN
ejpam-4662	143	7	)	)	PUNCT
ejpam-4662	143	8	=	=	PUNCT
ejpam-4662	143	9	e−xf−1(1−	e−xf−1(1−	PROPN
ejpam-4662	143	10	t	t	PROPN
ejpam-4662	143	11	)	)	PUNCT
ejpam-4662	143	12	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4662	143	13	t	t	PROPN
ejpam-4662	143	14	=	=	SYM
ejpam-4662	143	15	e−x	e−x	PROPN
ejpam-4662	143	16	,	,	PUNCT
ejpam-4662	143	17	ex	ex	X
ejpam-4662	143	18	<	<	X
ejpam-4662	143	19	u0	u0	X
ejpam-4662	143	20	<	<	X
ejpam-4662	143	21	1	1	NUM
ejpam-4662	143	22	,	,	PUNCT
ejpam-4662	143	23	for	for	ADP
ejpam-4662	143	24	some	some	DET
ejpam-4662	143	25	u0	u0	NOUN
ejpam-4662	143	26	∈]0	∈]0	ADJ
ejpam-4662	143	27	,	,	PUNCT
ejpam-4662	143	28	1	1	NUM
ejpam-4662	143	29	[	[	PUNCT
ejpam-4662	143	30	s.	s.	PROPN
ejpam-4662	143	31	dembele	dembele	PROPN
ejpam-4662	143	32	et	et	PROPN
ejpam-4662	143	33	al	al	PROPN
ejpam-4662	143	34	.	.	PUNCT
ejpam-4662	143	35	/	/	SYM
ejpam-4662	143	36	eur	eur	PROPN
ejpam-4662	143	37	.	.	PUNCT
ejpam-4662	144	1	j.	j.	PROPN
ejpam-4662	144	2	pure	pure	PROPN
ejpam-4662	144	3	appl	appl	PROPN
ejpam-4662	144	4	.	.	PROPN
ejpam-4662	144	5	math	math	PROPN
ejpam-4662	144	6	,	,	PUNCT
ejpam-4662	144	7	16	16	NUM
ejpam-4662	144	8	(	(	PUNCT
ejpam-4662	144	9	1	1	NUM
ejpam-4662	144	10	)	)	PUNCT
ejpam-4662	144	11	(	(	PUNCT
ejpam-4662	144	12	2023	2023	NUM
ejpam-4662	144	13	)	)	PUNCT
ejpam-4662	144	14	,	,	PUNCT
ejpam-4662	144	15	609	609	NUM
ejpam-4662	144	16	-	-	SYM
ejpam-4662	144	17	656	656	NUM
ejpam-4662	144	18	616	616	NUM
ejpam-4662	144	19	decreases	decrease	NOUN
ejpam-4662	144	20	to	to	ADP
ejpam-4662	144	21	0	0	NUM
ejpam-4662	144	22	as	as	ADP
ejpam-4662	144	23	x	x	X
ejpam-4662	144	24	→	→	SYM
ejpam-4662	144	25	+	+	NOUN
ejpam-4662	144	26	∞	∞	NUM
ejpam-4662	144	27	and	and	CCONJ
ejpam-4662	144	28	is	be	AUX
ejpam-4662	144	29	:	:	PUNCT
ejpam-4662	144	30	for	for	ADP
ejpam-4662	144	31	any	any	DET
ejpam-4662	144	32	sequence	sequence	NOUN
ejpam-4662	144	33	(	(	PUNCT
ejpam-4662	144	34	xn	xn	PROPN
ejpam-4662	144	35	,	,	PUNCT
ejpam-4662	144	36	yn)n≥1	yn)n≥1	VERB
ejpam-4662	144	37	such	such	ADJ
ejpam-4662	144	38	that	that	SCONJ
ejpam-4662	144	39	lim	lim	PROPN
ejpam-4662	144	40	sup	sup	PROPN
ejpam-4662	144	41	n→+∞	n→+∞	VERB
ejpam-4662	144	42	|xn	|xn	PRON
ejpam-4662	144	43	−	−	NOUN
ejpam-4662	144	44	yn|/	yn|/	NOUN
ejpam-4662	144	45	√	√	VERB
ejpam-4662	144	46	n	n	CCONJ
ejpam-4662	144	47	<	<	X
ejpam-4662	144	48	+	+	NOUN
ejpam-4662	144	49	∞	∞	PROPN
ejpam-4662	144	50	,	,	PUNCT
ejpam-4662	144	51	we	we	PRON
ejpam-4662	144	52	have	have	VERB
ejpam-4662	144	53	,	,	PUNCT
ejpam-4662	144	54	for	for	ADP
ejpam-4662	144	55	some	some	DET
ejpam-4662	144	56	α	α	NOUN
ejpam-4662	144	57	>	>	X
ejpam-4662	144	58	0	0	PROPN
ejpam-4662	144	59	,	,	PUNCT
ejpam-4662	144	60	lim	lim	PROPN
ejpam-4662	144	61	n→+∞	n→+∞	VERB
ejpam-4662	144	62	√	√	PROPN
ejpam-4662	144	63	n	n	PRON
ejpam-4662	144	64	s	s	X
ejpam-4662	144	65	(	(	PUNCT
ejpam-4662	144	66	exp(min(xn	exp(min(xn	PROPN
ejpam-4662	144	67	,	,	PUNCT
ejpam-4662	144	68	yn	yn	NOUN
ejpam-4662	144	69	)	)	PUNCT
ejpam-4662	144	70	)	)	PUNCT
ejpam-4662	144	71	)	)	PUNCT
ejpam-4662	145	1	=	=	NOUN
ejpam-4662	145	2	lim	lim	PROPN
ejpam-4662	145	3	n→+∞	n→+∞	VERB
ejpam-4662	145	4	√	√	PROPN
ejpam-4662	145	5	n	n	PRON
ejpam-4662	145	6	s	s	X
ejpam-4662	145	7	(	(	PUNCT
ejpam-4662	145	8	exp(max(xn	exp(max(xn	PROPN
ejpam-4662	145	9	,	,	PUNCT
ejpam-4662	145	10	yn	yn	PROPN
ejpam-4662	145	11	)	)	PUNCT
ejpam-4662	145	12	)	)	PUNCT
ejpam-4662	145	13	)	)	PUNCT
ejpam-4662	146	1	=	=	SYM
ejpam-4662	146	2	α	α	X
ejpam-4662	146	3	.	.	PUNCT
ejpam-4662	147	1	we	we	PRON
ejpam-4662	147	2	have	have	VERB
ejpam-4662	147	3	the	the	DET
ejpam-4662	147	4	following	follow	VERB
ejpam-4662	147	5	generalization	generalization	NOUN
ejpam-4662	147	6	.	.	PUNCT
ejpam-4662	148	1	theorem	theorem	NOUN
ejpam-4662	148	2	2	2	NUM
ejpam-4662	148	3	.	.	PUNCT
ejpam-4662	149	1	if	if	SCONJ
ejpam-4662	149	2	f	f	PROPN
ejpam-4662	149	3	satisfies	satisfy	VERB
ejpam-4662	149	4	assumptions	assumption	NOUN
ejpam-4662	149	5	(	(	PUNCT
ejpam-4662	149	6	ga	ga	NOUN
ejpam-4662	149	7	)	)	PUNCT
ejpam-4662	149	8	and	and	CCONJ
ejpam-4662	149	9	(	(	PUNCT
ejpam-4662	149	10	gb	gb	NOUN
ejpam-4662	149	11	)	)	PUNCT
ejpam-4662	149	12	,	,	PUNCT
ejpam-4662	149	13	we	we	PRON
ejpam-4662	149	14	have	have	VERB
ejpam-4662	149	15	x(n	x(n	NOUN
ejpam-4662	149	16	)	)	PUNCT
ejpam-4662	149	17	−	−	PROPN
ejpam-4662	149	18	f−1	f−1	PROPN
ejpam-4662	149	19	(	(	PUNCT
ejpam-4662	149	20	1−	1−	NUM
ejpam-4662	149	21	e−n	e−n	PROPN
ejpam-4662	149	22	)	)	PUNCT
ejpam-4662	149	23	⇝	⇝	X
ejpam-4662	149	24	n	n	CCONJ
ejpam-4662	149	25	(	(	PUNCT
ejpam-4662	149	26	0	0	NUM
ejpam-4662	149	27	,	,	PUNCT
ejpam-4662	149	28	α2	α2	ADJ
ejpam-4662	149	29	)	)	PUNCT
ejpam-4662	149	30	.	.	PUNCT
ejpam-4662	150	1	important	important	ADJ
ejpam-4662	150	2	result	result	NOUN
ejpam-4662	150	3	.	.	PUNCT
ejpam-4662	151	1	for	for	ADP
ejpam-4662	151	2	γ	γ	PROPN
ejpam-4662	151	3	̸=	̸=	PROPN
ejpam-4662	151	4	0	0	NUM
ejpam-4662	151	5	,	,	PUNCT
ejpam-4662	151	6	we	we	PRON
ejpam-4662	151	7	need	need	VERB
ejpam-4662	151	8	no	no	DET
ejpam-4662	151	9	condition	condition	NOUN
ejpam-4662	151	10	for	for	ADP
ejpam-4662	151	11	the	the	DET
ejpam-4662	151	12	asymptotic	asymptotic	ADJ
ejpam-4662	151	13	law	law	NOUN
ejpam-4662	151	14	to	to	PART
ejpam-4662	151	15	hold	hold	VERB
ejpam-4662	151	16	true	true	ADJ
ejpam-4662	151	17	.	.	PUNCT
ejpam-4662	152	1	rule	rule	NOUN
ejpam-4662	152	2	of	of	ADP
ejpam-4662	152	3	working	work	VERB
ejpam-4662	152	4	.	.	PUNCT
ejpam-4662	153	1	suppose	suppose	VERB
ejpam-4662	153	2	that	that	SCONJ
ejpam-4662	153	3	f	f	PROPN
ejpam-4662	153	4	lies	lie	VERB
ejpam-4662	153	5	in	in	ADP
ejpam-4662	153	6	d	d	PROPN
ejpam-4662	153	7	,	,	PUNCT
ejpam-4662	153	8	the	the	DET
ejpam-4662	153	9	extreme	extreme	ADJ
ejpam-4662	153	10	domain	domain	NOUN
ejpam-4662	153	11	of	of	ADP
ejpam-4662	153	12	attraction	attraction	NOUN
ejpam-4662	153	13	.	.	PUNCT
ejpam-4662	154	1	(	(	PUNCT
ejpam-4662	154	2	e	e	X
ejpam-4662	154	3	)	)	PUNCT
ejpam-4662	154	4	if	if	SCONJ
ejpam-4662	154	5	f	f	PROPN
ejpam-4662	154	6	∈	∈	PROPN
ejpam-4662	154	7	d(hγ	d(hγ	PROPN
ejpam-4662	154	8	)	)	PUNCT
ejpam-4662	154	9	,	,	PUNCT
ejpam-4662	154	10	γ	γ	PROPN
ejpam-4662	154	11	̸=	̸=	PROPN
ejpam-4662	154	12	0	0	NUM
ejpam-4662	154	13	,	,	PUNCT
ejpam-4662	154	14	we	we	PRON
ejpam-4662	154	15	apply	apply	VERB
ejpam-4662	154	16	points	point	NOUN
ejpam-4662	154	17	(	(	PUNCT
ejpam-4662	154	18	a	a	NOUN
ejpam-4662	154	19	)	)	PUNCT
ejpam-4662	154	20	or	or	CCONJ
ejpam-4662	154	21	(	(	PUNCT
ejpam-4662	154	22	c	c	NOUN
ejpam-4662	154	23	)	)	PUNCT
ejpam-4662	154	24	of	of	ADP
ejpam-4662	154	25	theorem	theorem	NOUN
ejpam-4662	154	26	1	1	NUM
ejpam-4662	154	27	without	without	ADP
ejpam-4662	154	28	any	any	DET
ejpam-4662	154	29	further	further	ADJ
ejpam-4662	154	30	condition	condition	NOUN
ejpam-4662	154	31	.	.	PUNCT
ejpam-4662	155	1	(	(	PUNCT
ejpam-4662	155	2	f	f	X
ejpam-4662	155	3	)	)	PUNCT
ejpam-4662	155	4	if	if	SCONJ
ejpam-4662	155	5	f	f	PROPN
ejpam-4662	155	6	∈	∈	PROPN
ejpam-4662	155	7	d(h0	d(h0	NOUN
ejpam-4662	155	8	)	)	PUNCT
ejpam-4662	155	9	and	and	CCONJ
ejpam-4662	155	10	exp(x	exp(x	PROPN
ejpam-4662	155	11	)	)	PUNCT
ejpam-4662	155	12	∈	∈	NOUN
ejpam-4662	155	13	d(hγ	d(hγ	PROPN
ejpam-4662	155	14	)	)	PUNCT
ejpam-4662	155	15	for	for	ADP
ejpam-4662	155	16	some	some	DET
ejpam-4662	155	17	γ	γ	NOUN
ejpam-4662	155	18	>	>	X
ejpam-4662	155	19	0	0	NUM
ejpam-4662	155	20	,	,	PUNCT
ejpam-4662	155	21	we	we	PRON
ejpam-4662	155	22	apply	apply	VERB
ejpam-4662	155	23	point	point	NOUN
ejpam-4662	155	24	(	(	PUNCT
ejpam-4662	155	25	b	b	NOUN
ejpam-4662	155	26	)	)	PUNCT
ejpam-4662	155	27	without	without	ADP
ejpam-4662	155	28	any	any	DET
ejpam-4662	155	29	further	further	ADJ
ejpam-4662	155	30	condition	condition	NOUN
ejpam-4662	155	31	.	.	PUNCT
ejpam-4662	156	1	(	(	PUNCT
ejpam-4662	156	2	g	g	NOUN
ejpam-4662	156	3	)	)	PUNCT
ejpam-4662	156	4	if	if	SCONJ
ejpam-4662	156	5	f	f	PROPN
ejpam-4662	156	6	∈	∈	PROPN
ejpam-4662	156	7	d(h0	d(h0	NOUN
ejpam-4662	156	8	)	)	PUNCT
ejpam-4662	156	9	and	and	CCONJ
ejpam-4662	156	10	s(u	s(u	PROPN
ejpam-4662	156	11	)	)	PUNCT
ejpam-4662	156	12	→	→	SYM
ejpam-4662	156	13	0	0	PUNCT
ejpam-4662	156	14	as	as	ADP
ejpam-4662	156	15	u	u	NOUN
ejpam-4662	156	16	→	→	SYM
ejpam-4662	156	17	0	0	NUM
ejpam-4662	157	1	and	and	CCONJ
ejpam-4662	157	2	if	if	SCONJ
ejpam-4662	157	3	(	(	PUNCT
ejpam-4662	157	4	ha	ha	INTJ
ejpam-4662	157	5	)	)	PUNCT
ejpam-4662	157	6	and	and	CCONJ
ejpam-4662	157	7	(	(	PUNCT
ejpam-4662	157	8	hb	hb	X
ejpam-4662	157	9	)	)	PUNCT
ejpam-4662	157	10	hold	hold	VERB
ejpam-4662	157	11	,	,	PUNCT
ejpam-4662	157	12	we	we	PRON
ejpam-4662	157	13	conclude	conclude	VERB
ejpam-4662	157	14	by	by	ADP
ejpam-4662	157	15	applying	apply	VERB
ejpam-4662	157	16	point	point	NOUN
ejpam-4662	157	17	(	(	PUNCT
ejpam-4662	157	18	d	d	NOUN
ejpam-4662	157	19	)	)	PUNCT
ejpam-4662	157	20	.	.	PUNCT
ejpam-4662	158	1	if	if	SCONJ
ejpam-4662	158	2	not	not	PART
ejpam-4662	158	3	(	(	PUNCT
ejpam-4662	158	4	as	as	SCONJ
ejpam-4662	158	5	it	it	PRON
ejpam-4662	158	6	is	be	AUX
ejpam-4662	158	7	for	for	ADP
ejpam-4662	158	8	a	a	DET
ejpam-4662	158	9	lognormal	lognormal	ADJ
ejpam-4662	158	10	law	law	NOUN
ejpam-4662	158	11	)	)	PUNCT
ejpam-4662	158	12	,	,	PUNCT
ejpam-4662	158	13	we	we	PRON
ejpam-4662	158	14	search	search	VERB
ejpam-4662	158	15	whether	whether	SCONJ
ejpam-4662	158	16	x1	x1	PROPN
ejpam-4662	158	17	=	=	SYM
ejpam-4662	158	18	exp(x	exp(x	PROPN
ejpam-4662	158	19	)	)	PUNCT
ejpam-4662	158	20	∈	∈	NOUN
ejpam-4662	158	21	d(hγ	d(hγ	PROPN
ejpam-4662	158	22	)	)	PUNCT
ejpam-4662	158	23	for	for	ADP
ejpam-4662	158	24	some	some	DET
ejpam-4662	158	25	γ	γ	NOUN
ejpam-4662	158	26	>	>	X
ejpam-4662	158	27	0	0	NUM
ejpam-4662	158	28	or	or	CCONJ
ejpam-4662	158	29	x1	x1	PROPN
ejpam-4662	158	30	=	=	SYM
ejpam-4662	158	31	exp(x	exp(x	PROPN
ejpam-4662	158	32	)	)	PUNCT
ejpam-4662	158	33	fulfills	fulfill	NOUN
ejpam-4662	158	34	(	(	PUNCT
ejpam-4662	158	35	ha	ha	INTJ
ejpam-4662	158	36	)	)	PUNCT
ejpam-4662	158	37	and	and	CCONJ
ejpam-4662	158	38	(	(	PUNCT
ejpam-4662	158	39	hb	hb	X
ejpam-4662	158	40	)	)	PUNCT
ejpam-4662	158	41	.	.	PUNCT
ejpam-4662	159	1	if	if	SCONJ
ejpam-4662	159	2	yes	yes	INTJ
ejpam-4662	159	3	,	,	PUNCT
ejpam-4662	159	4	we	we	PRON
ejpam-4662	159	5	conclude	conclude	VERB
ejpam-4662	159	6	by	by	ADP
ejpam-4662	159	7	point	point	NOUN
ejpam-4662	159	8	(	(	PUNCT
ejpam-4662	159	9	b	b	NOUN
ejpam-4662	159	10	)	)	PUNCT
ejpam-4662	159	11	or	or	CCONJ
ejpam-4662	159	12	point	point	NOUN
ejpam-4662	159	13	(	(	PUNCT
ejpam-4662	159	14	d	d	NOUN
ejpam-4662	159	15	)	)	PUNCT
ejpam-4662	159	16	.	.	PUNCT
ejpam-4662	160	1	if	if	SCONJ
ejpam-4662	160	2	not	not	PART
ejpam-4662	160	3	,	,	PUNCT
ejpam-4662	160	4	we	we	PRON
ejpam-4662	160	5	consider	consider	VERB
ejpam-4662	160	6	x2	x2	PROPN
ejpam-4662	160	7	=	=	PUNCT
ejpam-4662	160	8	exp(x1	exp(x1	ADJ
ejpam-4662	160	9	)	)	PUNCT
ejpam-4662	160	10	,	,	PUNCT
ejpam-4662	160	11	and	and	CCONJ
ejpam-4662	160	12	we	we	PRON
ejpam-4662	160	13	continue	continue	VERB
ejpam-4662	160	14	the	the	DET
ejpam-4662	160	15	process	process	NOUN
ejpam-4662	160	16	until	until	SCONJ
ejpam-4662	160	17	we	we	PRON
ejpam-4662	160	18	reach	reach	VERB
ejpam-4662	160	19	xp	xp	NOUN
ejpam-4662	160	20	=	=	SYM
ejpam-4662	160	21	exp(xp−1	exp(xp−1	PROPN
ejpam-4662	160	22	)	)	PUNCT
ejpam-4662	160	23	∈	∈	PROPN
ejpam-4662	160	24	d(gγ	d(gγ	PROPN
ejpam-4662	160	25	)	)	PUNCT
ejpam-4662	160	26	for	for	ADP
ejpam-4662	160	27	some	some	DET
ejpam-4662	160	28	γ	γ	NOUN
ejpam-4662	160	29	>	>	X
ejpam-4662	160	30	0	0	NUM
ejpam-4662	160	31	or	or	CCONJ
ejpam-4662	160	32	xp	xp	INTJ
ejpam-4662	160	33	=	=	SYM
ejpam-4662	160	34	exp(xp−1	exp(xp−1	PROPN
ejpam-4662	160	35	)	)	PUNCT
ejpam-4662	160	36	for	for	ADP
ejpam-4662	160	37	some	some	DET
ejpam-4662	160	38	p	p	NOUN
ejpam-4662	160	39	≥	≥	NUM
ejpam-4662	160	40	1	1	NUM
ejpam-4662	160	41	.	.	PUNCT
ejpam-4662	161	1	other	other	ADJ
ejpam-4662	161	2	results	result	NOUN
ejpam-4662	161	3	in	in	ADP
ejpam-4662	161	4	[	[	X
ejpam-4662	161	5	15	15	NUM
ejpam-4662	161	6	]	]	PUNCT
ejpam-4662	161	7	are	be	AUX
ejpam-4662	161	8	expressed	express	VERB
ejpam-4662	161	9	as	as	ADP
ejpam-4662	161	10	representations	representation	NOUN
ejpam-4662	161	11	as	as	ADP
ejpam-4662	161	12	in	in	ADP
ejpam-4662	161	13	the	the	DET
ejpam-4662	161	14	following	follow	VERB
ejpam-4662	161	15	theorem	theorem	NOUN
ejpam-4662	161	16	.	.	PUNCT
ejpam-4662	161	17	theorem	theorem	NOUN
ejpam-4662	161	18	3	3	X
ejpam-4662	161	19	.	.	PUNCT
ejpam-4662	162	1	let	let	VERB
ejpam-4662	162	2	f	f	PROPN
ejpam-4662	162	3	∈	∈	PROPN
ejpam-4662	162	4	d(hγ	d(hγ	PROPN
ejpam-4662	162	5	)	)	PUNCT
ejpam-4662	162	6	,	,	PUNCT
ejpam-4662	162	7	γ	γ	PROPN
ejpam-4662	162	8	∈	∈	PROPN
ejpam-4662	162	9	r.	r.	PROPN
ejpam-4662	162	10	then	then	ADV
ejpam-4662	162	11	,	,	PUNCT
ejpam-4662	162	12	there	there	PRON
ejpam-4662	162	13	exists	exist	VERB
ejpam-4662	162	14	a	a	DET
ejpam-4662	162	15	probability	probability	NOUN
ejpam-4662	162	16	space	space	NOUN
ejpam-4662	162	17	(	(	PUNCT
ejpam-4662	162	18	ω	ω	NOUN
ejpam-4662	162	19	,	,	PUNCT
ejpam-4662	162	20	a	a	DET
ejpam-4662	162	21	,	,	PUNCT
ejpam-4662	162	22	p	p	NOUN
ejpam-4662	162	23	)	)	PUNCT
ejpam-4662	162	24	holding	hold	VERB
ejpam-4662	162	25	a	a	DET
ejpam-4662	162	26	sequence	sequence	NOUN
ejpam-4662	162	27	of	of	ADP
ejpam-4662	162	28	independent	independent	ADJ
ejpam-4662	162	29	standard	standard	ADJ
ejpam-4662	162	30	exponential	exponential	ADJ
ejpam-4662	162	31	random	random	ADJ
ejpam-4662	162	32	variables	variable	NOUN
ejpam-4662	162	33	(	(	PUNCT
ejpam-4662	162	34	en)n≥1	en)n≥1	VERB
ejpam-4662	162	35	and	and	CCONJ
ejpam-4662	162	36	a	a	DET
ejpam-4662	162	37	brownian	brownian	ADJ
ejpam-4662	162	38	process	process	NOUN
ejpam-4662	162	39	{	{	PUNCT
ejpam-4662	162	40	w	w	PROPN
ejpam-4662	162	41	(	(	PUNCT
ejpam-4662	162	42	t	t	PROPN
ejpam-4662	162	43	)	)	PUNCT
ejpam-4662	162	44	,	,	PUNCT
ejpam-4662	162	45	t	t	PROPN
ejpam-4662	162	46	≥	≥	NUM
ejpam-4662	162	47	0	0	NUM
ejpam-4662	162	48	}	}	PUNCT
ejpam-4662	162	49	such	such	ADJ
ejpam-4662	162	50	that	that	SCONJ
ejpam-4662	162	51	the	the	DET
ejpam-4662	162	52	record	record	NOUN
ejpam-4662	162	53	values	value	NOUN
ejpam-4662	162	54	x(n	x(n	NOUN
ejpam-4662	162	55	)	)	PUNCT
ejpam-4662	162	56	,	,	PUNCT
ejpam-4662	162	57	n	n	PRON
ejpam-4662	162	58	≥	≥	NOUN
ejpam-4662	162	59	1	1	NUM
ejpam-4662	162	60	,	,	PUNCT
ejpam-4662	162	61	of	of	ADP
ejpam-4662	162	62	the	the	DET
ejpam-4662	162	63	sequence	sequence	NOUN
ejpam-4662	162	64	xj	xj	PROPN
ejpam-4662	162	65	=	=	SYM
ejpam-4662	162	66	f−1	f−1	PROPN
ejpam-4662	162	67	(	(	PUNCT
ejpam-4662	162	68	1−	1−	NUM
ejpam-4662	162	69	eej	eej	PROPN
ejpam-4662	162	70	)	)	PUNCT
ejpam-4662	162	71	,	,	PUNCT
ejpam-4662	162	72	j	j	PROPN
ejpam-4662	162	73	≥	≥	NUM
ejpam-4662	162	74	1	1	NUM
ejpam-4662	162	75	,	,	PUNCT
ejpam-4662	162	76	satisfy	satisfy	VERB
ejpam-4662	162	77	the	the	DET
ejpam-4662	162	78	following	follow	VERB
ejpam-4662	162	79	representations	representation	NOUN
ejpam-4662	162	80	below	below	ADP
ejpam-4662	162	81	under	under	ADP
ejpam-4662	162	82	the	the	DET
ejpam-4662	162	83	appropriate	appropriate	ADJ
ejpam-4662	162	84	conditions	condition	NOUN
ejpam-4662	162	85	.	.	PUNCT
ejpam-4662	163	1	here	here	ADV
ejpam-4662	163	2	,	,	PUNCT
ejpam-4662	163	3	sn	sn	NOUN
ejpam-4662	163	4	=	=	SYM
ejpam-4662	163	5	e1	e1	PROPN
ejpam-4662	163	6	+	+	CCONJ
ejpam-4662	163	7	...	...	PUNCT
ejpam-4662	164	1	+	+	CCONJ
ejpam-4662	164	2	en	en	X
ejpam-4662	164	3	,	,	PUNCT
ejpam-4662	164	4	n	n	PRON
ejpam-4662	164	5	≥	≥	NOUN
ejpam-4662	164	6	1	1	NUM
ejpam-4662	164	7	,	,	PUNCT
ejpam-4662	164	8	are	be	AUX
ejpam-4662	164	9	the	the	DET
ejpam-4662	164	10	partial	partial	ADJ
ejpam-4662	164	11	sums	sum	NOUN
ejpam-4662	164	12	of	of	ADP
ejpam-4662	164	13	the	the	DET
ejpam-4662	164	14	sequence	sequence	NOUN
ejpam-4662	164	15	(	(	PUNCT
ejpam-4662	164	16	en)n≥1	en)n≥1	VERB
ejpam-4662	164	17	,	,	PUNCT
ejpam-4662	164	18	s	s	NOUN
ejpam-4662	164	19	∗	∗	NOUN
ejpam-4662	164	20	n	n	NOUN
ejpam-4662	164	21	=	=	PUNCT
ejpam-4662	164	22	n−1/2(sn	n−1/2(sn	X
ejpam-4662	164	23	−	−	NOUN
ejpam-4662	164	24	n	n	CCONJ
ejpam-4662	164	25	)	)	PUNCT
ejpam-4662	164	26	,	,	PUNCT
ejpam-4662	164	27	vn	vn	PROPN
ejpam-4662	164	28	=	=	SYM
ejpam-4662	164	29	e−n	e−n	PROPN
ejpam-4662	164	30	and	and	CCONJ
ejpam-4662	164	31	vn	vn	PROPN
ejpam-4662	164	32	=	=	PROPN
ejpam-4662	164	33	e−sn	e−sn	PROPN
ejpam-4662	164	34	.	.	PUNCT
ejpam-4662	165	1	below	below	ADV
ejpam-4662	165	2	,	,	PUNCT
ejpam-4662	165	3	the	the	DET
ejpam-4662	165	4	function	function	NOUN
ejpam-4662	165	5	a(u	a(u	PROPN
ejpam-4662	165	6	)	)	PUNCT
ejpam-4662	165	7	,	,	PUNCT
ejpam-4662	165	8	b(u	b(u	PROPN
ejpam-4662	165	9	)	)	PUNCT
ejpam-4662	165	10	and	and	CCONJ
ejpam-4662	165	11	s(u	s(u	PROPN
ejpam-4662	165	12	)	)	PUNCT
ejpam-4662	165	13	of	of	ADP
ejpam-4662	165	14	u	u	PRON
ejpam-4662	165	15	∈]0	∈]0	X
ejpam-4662	165	16	,	,	PUNCT
ejpam-4662	165	17	1	1	NUM
ejpam-4662	165	18	[	[	PUNCT
ejpam-4662	165	19	are	be	AUX
ejpam-4662	165	20	those	those	PRON
ejpam-4662	165	21	in	in	ADP
ejpam-4662	165	22	the	the	DET
ejpam-4662	165	23	representations	representation	NOUN
ejpam-4662	165	24	in	in	ADP
ejpam-4662	165	25	proposition	proposition	NOUN
ejpam-4662	165	26	2	2	NUM
ejpam-4662	165	27	.	.	PUNCT
ejpam-4662	165	28	by	by	ADP
ejpam-4662	165	29	denoting	denote	VERB
ejpam-4662	165	30	w	w	PROPN
ejpam-4662	165	31	∗	∗	NOUN
ejpam-4662	165	32	n	n	CCONJ
ejpam-4662	165	33	=	=	PROPN
ejpam-4662	165	34	n−1/2w	n−1/2w	PROPN
ejpam-4662	165	35	(	(	PUNCT
ejpam-4662	165	36	n	n	CCONJ
ejpam-4662	165	37	)	)	PUNCT
ejpam-4662	165	38	and	and	CCONJ
ejpam-4662	165	39	cn	cn	PROPN
ejpam-4662	165	40	=	=	PROPN
ejpam-4662	165	41	n−1/2	n−1/2	PROPN
ejpam-4662	165	42	log	log	NOUN
ejpam-4662	165	43	n	n	CCONJ
ejpam-4662	165	44	,	,	PUNCT
ejpam-4662	165	45	we	we	PRON
ejpam-4662	165	46	have	have	VERB
ejpam-4662	165	47	w	w	NOUN
ejpam-4662	165	48	∗	∗	NOUN
ejpam-4662	165	49	n	n	PRON
ejpam-4662	165	50	∼	∼	NOUN
ejpam-4662	165	51	n	n	CCONJ
ejpam-4662	165	52	(	(	PUNCT
ejpam-4662	165	53	0	0	NUM
ejpam-4662	165	54	,	,	PUNCT
ejpam-4662	165	55	1	1	NUM
ejpam-4662	165	56	)	)	PUNCT
ejpam-4662	165	57	and	and	CCONJ
ejpam-4662	165	58	|s∗	|s∗	PROPN
ejpam-4662	165	59	n	n	PRON
ejpam-4662	165	60	−w	−w	ADV
ejpam-4662	165	61	∗	∗	VERB
ejpam-4662	165	62	n	n	CCONJ
ejpam-4662	165	63	|	|	NOUN
ejpam-4662	165	64	=	=	SYM
ejpam-4662	165	65	op(cn	op(cn	PROPN
ejpam-4662	165	66	)	)	PUNCT
ejpam-4662	165	67	.	.	PUNCT
ejpam-4662	166	1	s.	s.	PROPN
ejpam-4662	166	2	dembele	dembele	PROPN
ejpam-4662	166	3	et	et	PROPN
ejpam-4662	166	4	al	al	PROPN
ejpam-4662	166	5	.	.	PUNCT
ejpam-4662	166	6	/	/	SYM
ejpam-4662	166	7	eur	eur	PROPN
ejpam-4662	166	8	.	.	PUNCT
ejpam-4662	167	1	j.	j.	PROPN
ejpam-4662	167	2	pure	pure	PROPN
ejpam-4662	167	3	appl	appl	PROPN
ejpam-4662	167	4	.	.	PROPN
ejpam-4662	167	5	math	math	PROPN
ejpam-4662	167	6	,	,	PUNCT
ejpam-4662	167	7	16	16	NUM
ejpam-4662	167	8	(	(	PUNCT
ejpam-4662	167	9	1	1	NUM
ejpam-4662	167	10	)	)	PUNCT
ejpam-4662	167	11	(	(	PUNCT
ejpam-4662	167	12	2023	2023	NUM
ejpam-4662	167	13	)	)	PUNCT
ejpam-4662	167	14	,	,	PUNCT
ejpam-4662	167	15	609	609	NUM
ejpam-4662	167	16	-	-	SYM
ejpam-4662	167	17	656	656	NUM
ejpam-4662	167	18	617	617	NUM
ejpam-4662	167	19	further	far	ADV
ejpam-4662	168	1	,	,	PUNCT
ejpam-4662	168	2	we	we	PRON
ejpam-4662	168	3	have	have	VERB
ejpam-4662	168	4	the	the	DET
ejpam-4662	168	5	following	follow	VERB
ejpam-4662	168	6	results	result	NOUN
ejpam-4662	168	7	.	.	PUNCT
ejpam-4662	169	1	(	(	PUNCT
ejpam-4662	169	2	a	a	X
ejpam-4662	169	3	)	)	PUNCT
ejpam-4662	169	4	let	let	VERB
ejpam-4662	169	5	γ	γ	X
ejpam-4662	169	6	>	>	X
ejpam-4662	169	7	0	0	PROPN
ejpam-4662	169	8	.	.	PUNCT
ejpam-4662	169	9	suppose	suppose	VERB
ejpam-4662	169	10	that	that	SCONJ
ejpam-4662	169	11	1−	1−	NUM
ejpam-4662	169	12	1	1	NUM
ejpam-4662	169	13	+	+	NUM
ejpam-4662	169	14	a(vn	a(vn	NOUN
ejpam-4662	169	15	)	)	PUNCT
ejpam-4662	169	16	1	1	NUM
ejpam-4662	169	17	+	+	SYM
ejpam-4662	169	18	a(vn	a(vn	PROPN
ejpam-4662	169	19	)	)	PUNCT
ejpam-4662	169	20	=	=	SYM
ejpam-4662	169	21	op(an	op(an	NOUN
ejpam-4662	169	22	)	)	PUNCT
ejpam-4662	169	23	,	,	PUNCT
ejpam-4662	169	24	sup{|b(t)|	sup{|b(t)|	NOUN
ejpam-4662	169	25	,	,	PUNCT
ejpam-4662	169	26	0	0	NUM
ejpam-4662	169	27	≤	≤	NUM
ejpam-4662	169	28	t	t	PROPN
ejpam-4662	169	29	≤	≤	NUM
ejpam-4662	169	30	vn	vn	PROPN
ejpam-4662	169	31	∨	∨	NUM
ejpam-4662	169	32	vn	vn	PROPN
ejpam-4662	169	33	}	}	PUNCT
ejpam-4662	169	34	=	=	SYM
ejpam-4662	169	35	op(bn	op(bn	PROPN
ejpam-4662	169	36	)	)	PUNCT
ejpam-4662	169	37	.	.	PUNCT
ejpam-4662	170	1	(	(	PUNCT
ejpam-4662	170	2	8)	8)	NUM
ejpam-4662	170	3	then	then	ADV
ejpam-4662	170	4	,	,	PUNCT
ejpam-4662	170	5	we	we	PRON
ejpam-4662	170	6	have	have	VERB
ejpam-4662	170	7	(	(	PUNCT
ejpam-4662	170	8	x(n	x(n	NOUN
ejpam-4662	170	9	)	)	PUNCT
ejpam-4662	170	10	f−1	f−1	PROPN
ejpam-4662	170	11	(	(	PUNCT
ejpam-4662	170	12	1−	1−	NUM
ejpam-4662	170	13	e−n	e−n	PROPN
ejpam-4662	170	14	)	)	PUNCT
ejpam-4662	170	15	)	)	PUNCT
ejpam-4662	171	1	n−1/2	n−1/2	PROPN
ejpam-4662	171	2	=	=	PUNCT
ejpam-4662	171	3	exp(γs∗	exp(γs∗	NOUN
ejpam-4662	171	4	n	n	CCONJ
ejpam-4662	171	5	)	)	PUNCT
ejpam-4662	172	1	+	+	ADJ
ejpam-4662	172	2	op(an	op(an	ADJ
ejpam-4662	172	3	∨	∨	NUM
ejpam-4662	172	4	bn	bn	NOUN
ejpam-4662	172	5	)	)	PUNCT
ejpam-4662	172	6	=	=	PUNCT
ejpam-4662	172	7	exp(γw	exp(γw	VERB
ejpam-4662	172	8	∗	∗	NOUN
ejpam-4662	172	9	n	n	CCONJ
ejpam-4662	172	10	)	)	PUNCT
ejpam-4662	173	1	+	+	ADJ
ejpam-4662	173	2	op(an	op(an	PROPN
ejpam-4662	173	3	∨	∨	NUM
ejpam-4662	173	4	bn	bn	PROPN
ejpam-4662	173	5	∨	∨	NUM
ejpam-4662	173	6	cn	cn	PROPN
ejpam-4662	173	7	)	)	PUNCT
ejpam-4662	173	8	.	.	PUNCT
ejpam-4662	174	1	(	(	PUNCT
ejpam-4662	174	2	b	b	X
ejpam-4662	174	3	)	)	PUNCT
ejpam-4662	174	4	let	let	VERB
ejpam-4662	174	5	γ	γ	X
ejpam-4662	174	6	>	>	X
ejpam-4662	174	7	0	0	PUNCT
ejpam-4662	175	1	and	and	CCONJ
ejpam-4662	175	2	x	x	ADJ
ejpam-4662	175	3	>	>	X
ejpam-4662	175	4	0	0	PROPN
ejpam-4662	175	5	,	,	PUNCT
ejpam-4662	175	6	y	y	PROPN
ejpam-4662	175	7	=	=	PUNCT
ejpam-4662	175	8	logx	logx	PROPN
ejpam-4662	175	9	∈	∈	PROPN
ejpam-4662	175	10	d(g0	d(g0	NOUN
ejpam-4662	175	11	)	)	PUNCT
ejpam-4662	175	12	and	and	CCONJ
ejpam-4662	175	13	r(x	r(x	PROPN
ejpam-4662	175	14	,	,	PUNCT
ejpam-4662	175	15	g	g	NOUN
ejpam-4662	175	16	)	)	PUNCT
ejpam-4662	175	17	→	→	SYM
ejpam-4662	175	18	γ	γ	X
ejpam-4662	175	19	as	as	ADP
ejpam-4662	175	20	x	x	X
ejpam-4662	175	21	→	→	SYM
ejpam-4662	175	22	uep(g	uep(g	NOUN
ejpam-4662	175	23	)	)	PUNCT
ejpam-4662	175	24	and	and	CCONJ
ejpam-4662	175	25	we	we	PRON
ejpam-4662	175	26	have	have	VERB
ejpam-4662	175	27	y	y	PROPN
ejpam-4662	175	28	(	(	PUNCT
ejpam-4662	175	29	n	n	CCONJ
ejpam-4662	175	30	)	)	PUNCT
ejpam-4662	175	31	−g−1	−g−1	X
ejpam-4662	176	1	(	(	PUNCT
ejpam-4662	176	2	1−	1−	NUM
ejpam-4662	176	3	e−n)√	e−n)√	NOUN
ejpam-4662	176	4	n	n	NOUN
ejpam-4662	176	5	=	=	SYM
ejpam-4662	176	6	γs∗	γs∗	DET
ejpam-4662	176	7	n	n	PRON
ejpam-4662	177	1	+	+	ADJ
ejpam-4662	177	2	op(an	op(an	ADJ
ejpam-4662	177	3	∨	∨	NUM
ejpam-4662	177	4	bn	bn	NOUN
ejpam-4662	177	5	)	)	PUNCT
ejpam-4662	177	6	=	=	SYM
ejpam-4662	177	7	γw	γw	NOUN
ejpam-4662	177	8	∗	∗	NOUN
ejpam-4662	177	9	n	n	PRON
ejpam-4662	177	10	+	+	ADJ
ejpam-4662	177	11	op(an	op(an	PROPN
ejpam-4662	177	12	∨	∨	NUM
ejpam-4662	177	13	bn	bn	PROPN
ejpam-4662	177	14	∨	∨	NUM
ejpam-4662	177	15	cn	cn	PROPN
ejpam-4662	177	16	)	)	PUNCT
ejpam-4662	177	17	.	.	PUNCT
ejpam-4662	178	1	(	(	PUNCT
ejpam-4662	178	2	c	c	X
ejpam-4662	178	3	)	)	PUNCT
ejpam-4662	178	4	let	let	VERB
ejpam-4662	178	5	γ	γ	X
ejpam-4662	178	6	<	<	X
ejpam-4662	178	7	0	0	NUM
ejpam-4662	178	8	.	.	PUNCT
ejpam-4662	179	1	then	then	ADV
ejpam-4662	179	2	,	,	PUNCT
ejpam-4662	179	3	by	by	ADP
ejpam-4662	179	4	using	use	VERB
ejpam-4662	179	5	the	the	DET
ejpam-4662	179	6	rates	rate	NOUN
ejpam-4662	179	7	of	of	ADP
ejpam-4662	179	8	convergence	convergence	NOUN
ejpam-4662	179	9	in	in	ADP
ejpam-4662	179	10	formula	formula	NOUN
ejpam-4662	179	11	(	(	PUNCT
ejpam-4662	179	12	8)	8)	NUM
ejpam-4662	179	13	,	,	PUNCT
ejpam-4662	179	14	we	we	PRON
ejpam-4662	179	15	have	have	VERB
ejpam-4662	179	16	(	(	PUNCT
ejpam-4662	179	17	uep(f	uep(f	PROPN
ejpam-4662	179	18	)	)	PUNCT
ejpam-4662	179	19	−x(n	−x(n	PROPN
ejpam-4662	179	20	)	)	PUNCT
ejpam-4662	179	21	uep(f	uep(f	PROPN
ejpam-4662	179	22	)	)	PUNCT
ejpam-4662	180	1	−	−	PROPN
ejpam-4662	180	2	f−1	f−1	PROPN
ejpam-4662	180	3	(	(	PUNCT
ejpam-4662	180	4	1−	1−	NUM
ejpam-4662	180	5	e−n	e−n	PROPN
ejpam-4662	180	6	)	)	PUNCT
ejpam-4662	180	7	)	)	PUNCT
ejpam-4662	181	1	n−1/2	n−1/2	PROPN
ejpam-4662	181	2	=	=	PUNCT
ejpam-4662	181	3	exp(γs∗	exp(γs∗	NOUN
ejpam-4662	181	4	n	n	CCONJ
ejpam-4662	181	5	)	)	PUNCT
ejpam-4662	182	1	+	+	ADJ
ejpam-4662	182	2	op(an	op(an	ADJ
ejpam-4662	182	3	∨	∨	NUM
ejpam-4662	182	4	bn	bn	NOUN
ejpam-4662	182	5	)	)	PUNCT
ejpam-4662	182	6	=	=	PUNCT
ejpam-4662	182	7	exp(γw	exp(γw	VERB
ejpam-4662	182	8	∗	∗	NOUN
ejpam-4662	182	9	n	n	CCONJ
ejpam-4662	182	10	)	)	PUNCT
ejpam-4662	183	1	+	+	ADJ
ejpam-4662	183	2	op(an	op(an	PROPN
ejpam-4662	183	3	∨	∨	NUM
ejpam-4662	183	4	bn	bn	PROPN
ejpam-4662	183	5	∨	∨	NUM
ejpam-4662	183	6	cn	cn	PROPN
ejpam-4662	183	7	)	)	PUNCT
ejpam-4662	183	8	.	.	PUNCT
ejpam-4662	184	1	(	(	PUNCT
ejpam-4662	184	2	d	d	X
ejpam-4662	184	3	)	)	PUNCT
ejpam-4662	184	4	suppose	suppose	VERB
ejpam-4662	184	5	that	that	SCONJ
ejpam-4662	184	6	γ	γ	PROPN
ejpam-4662	184	7	=	=	SYM
ejpam-4662	184	8	0	0	PROPN
ejpam-4662	184	9	and	and	CCONJ
ejpam-4662	184	10	r(x	r(x	PROPN
ejpam-4662	184	11	,	,	PUNCT
ejpam-4662	184	12	g	g	NOUN
ejpam-4662	184	13	)	)	PUNCT
ejpam-4662	184	14	→	→	SYM
ejpam-4662	184	15	0	0	PUNCT
ejpam-4662	184	16	as	as	ADP
ejpam-4662	184	17	x	x	X
ejpam-4662	184	18	→	→	SYM
ejpam-4662	184	19	uep(g	uep(g	NOUN
ejpam-4662	184	20	)	)	PUNCT
ejpam-4662	184	21	.	.	PUNCT
ejpam-4662	185	1	suppose	suppose	VERB
ejpam-4662	185	2	that	that	SCONJ
ejpam-4662	185	3	(	(	PUNCT
ejpam-4662	185	4	ha	ha	INTJ
ejpam-4662	185	5	)	)	PUNCT
ejpam-4662	185	6	and	and	CCONJ
ejpam-4662	185	7	(	(	PUNCT
ejpam-4662	185	8	hb	hb	X
ejpam-4662	185	9	)	)	PUNCT
ejpam-4662	185	10	hold	hold	VERB
ejpam-4662	185	11	both	both	PRON
ejpam-4662	185	12	.	.	PUNCT
ejpam-4662	186	1	if	if	SCONJ
ejpam-4662	186	2	sup	sup	NOUN
ejpam-4662	186	3	{	{	PUNCT
ejpam-4662	186	4	∣∣∣∣s(u)s(v	∣∣∣∣s(u)s(v	NOUN
ejpam-4662	186	5	)	)	PUNCT
ejpam-4662	186	6	−	−	PROPN
ejpam-4662	186	7	1	1	NUM
ejpam-4662	186	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4662	186	9	,	,	PUNCT
ejpam-4662	186	10	min(vn	min(vn	PROPN
ejpam-4662	186	11	,	,	PUNCT
ejpam-4662	186	12	vn	vn	NOUN
ejpam-4662	186	13	)	)	PUNCT
ejpam-4662	186	14	≤	≤	NOUN
ejpam-4662	186	15	u	u	NOUN
ejpam-4662	186	16	,	,	PUNCT
ejpam-4662	186	17	v	v	ADJ
ejpam-4662	186	18	≤	≤	NUM
ejpam-4662	186	19	max(vn	max(vn	NOUN
ejpam-4662	186	20	,	,	PUNCT
ejpam-4662	186	21	vn	vn	PROPN
ejpam-4662	186	22	)	)	PUNCT
ejpam-4662	186	23	}	}	PUNCT
ejpam-4662	186	24	=	=	SYM
ejpam-4662	186	25	op(dn	op(dn	PROPN
ejpam-4662	186	26	)	)	PUNCT
ejpam-4662	186	27	,	,	PUNCT
ejpam-4662	186	28	and	and	CCONJ
ejpam-4662	186	29	√	√	PROPN
ejpam-4662	186	30	ns(vn)−α	ns(vn)−α	PROPN
ejpam-4662	186	31	=	=	SYM
ejpam-4662	186	32	o(en	o(en	PROPN
ejpam-4662	186	33	)	)	PUNCT
ejpam-4662	186	34	,	,	PUNCT
ejpam-4662	186	35	we	we	PRON
ejpam-4662	186	36	have	have	VERB
ejpam-4662	186	37	x(n	x(n	NOUN
ejpam-4662	186	38	)	)	PUNCT
ejpam-4662	187	1	−	−	PROPN
ejpam-4662	187	2	f−1	f−1	PROPN
ejpam-4662	187	3	(	(	PUNCT
ejpam-4662	187	4	1−	1−	NUM
ejpam-4662	187	5	e−n	e−n	PROPN
ejpam-4662	187	6	)	)	PUNCT
ejpam-4662	187	7	=	=	SYM
ejpam-4662	187	8	αs∗	αs∗	NOUN
ejpam-4662	187	9	n	n	PROPN
ejpam-4662	187	10	+	+	PROPN
ejpam-4662	187	11	op(dn	op(dn	PROPN
ejpam-4662	187	12	∨	∨	NUM
ejpam-4662	187	13	en	en	X
ejpam-4662	187	14	)	)	PUNCT
ejpam-4662	187	15	=	=	SYM
ejpam-4662	187	16	αw	αw	ADP
ejpam-4662	187	17	∗	∗	NOUN
ejpam-4662	187	18	n	n	PRON
ejpam-4662	187	19	+	+	ADJ
ejpam-4662	187	20	op(cn	op(cn	PROPN
ejpam-4662	187	21	∨	∨	NUM
ejpam-4662	187	22	dn	dn	PROPN
ejpam-4662	187	23	∨	∨	PROPN
ejpam-4662	187	24	en	en	X
ejpam-4662	187	25	)	)	PUNCT
ejpam-4662	187	26	.	.	PUNCT
ejpam-4662	188	1	s.	s.	PROPN
ejpam-4662	188	2	dembele	dembele	PROPN
ejpam-4662	188	3	et	et	PROPN
ejpam-4662	188	4	al	al	PROPN
ejpam-4662	188	5	.	.	PUNCT
ejpam-4662	188	6	/	/	SYM
ejpam-4662	188	7	eur	eur	PROPN
ejpam-4662	188	8	.	.	PUNCT
ejpam-4662	189	1	j.	j.	PROPN
ejpam-4662	189	2	pure	pure	PROPN
ejpam-4662	189	3	appl	appl	PROPN
ejpam-4662	189	4	.	.	PROPN
ejpam-4662	189	5	math	math	PROPN
ejpam-4662	189	6	,	,	PUNCT
ejpam-4662	189	7	16	16	NUM
ejpam-4662	189	8	(	(	PUNCT
ejpam-4662	189	9	1	1	NUM
ejpam-4662	189	10	)	)	PUNCT
ejpam-4662	189	11	(	(	PUNCT
ejpam-4662	189	12	2023	2023	NUM
ejpam-4662	189	13	)	)	PUNCT
ejpam-4662	189	14	,	,	PUNCT
ejpam-4662	189	15	609	609	NUM
ejpam-4662	189	16	-	-	SYM
ejpam-4662	189	17	656	656	NUM
ejpam-4662	189	18	618	618	NUM
ejpam-4662	189	19	rules	rule	NOUN
ejpam-4662	189	20	of	of	ADP
ejpam-4662	189	21	working	work	VERB
ejpam-4662	189	22	.	.	PUNCT
ejpam-4662	190	1	in	in	ADP
ejpam-4662	190	2	the	the	DET
ejpam-4662	190	3	domain	domain	NOUN
ejpam-4662	190	4	of	of	ADP
ejpam-4662	190	5	extremal	extremal	ADJ
ejpam-4662	190	6	attraction	attraction	NOUN
ejpam-4662	190	7	,	,	PUNCT
ejpam-4662	190	8	most	most	ADJ
ejpam-4662	190	9	of	of	ADP
ejpam-4662	190	10	the	the	DET
ejpam-4662	190	11	cdf	cdf	PROPN
ejpam-4662	190	12	’s	’	VERB
ejpam-4662	190	13	which	which	PRON
ejpam-4662	190	14	are	be	AUX
ejpam-4662	190	15	used	use	VERB
ejpam-4662	190	16	in	in	ADP
ejpam-4662	190	17	applications	application	NOUN
ejpam-4662	190	18	are	be	AUX
ejpam-4662	190	19	differentiable	differentiable	ADJ
ejpam-4662	190	20	in	in	ADP
ejpam-4662	190	21	a	a	DET
ejpam-4662	190	22	left	left	ADJ
ejpam-4662	190	23	-	-	PUNCT
ejpam-4662	190	24	neighborhood	neighborhood	NOUN
ejpam-4662	190	25	of	of	ADP
ejpam-4662	190	26	the	the	DET
ejpam-4662	190	27	upper	upper	ADJ
ejpam-4662	190	28	endpoint	endpoint	NOUN
ejpam-4662	190	29	.	.	PUNCT
ejpam-4662	191	1	in	in	ADP
ejpam-4662	191	2	such	such	DET
ejpam-4662	191	3	a	a	DET
ejpam-4662	191	4	case	case	NOUN
ejpam-4662	191	5	,	,	PUNCT
ejpam-4662	191	6	we	we	PRON
ejpam-4662	191	7	may	may	AUX
ejpam-4662	191	8	take	take	VERB
ejpam-4662	191	9	a	a	DET
ejpam-4662	191	10	≡	≡	PROPN
ejpam-4662	191	11	0	0	NUM
ejpam-4662	191	12	in	in	ADP
ejpam-4662	191	13	representation	representation	NOUN
ejpam-4662	191	14	(	(	PUNCT
ejpam-4662	191	15	3	3	NUM
ejpam-4662	191	16	)	)	PUNCT
ejpam-4662	191	17	and	and	CCONJ
ejpam-4662	191	18	(	(	PUNCT
ejpam-4662	191	19	4	4	X
ejpam-4662	191	20	)	)	PUNCT
ejpam-4662	191	21	in	in	ADP
ejpam-4662	191	22	proposition	proposition	NOUN
ejpam-4662	191	23	2	2	NUM
ejpam-4662	191	24	.	.	PUNCT
ejpam-4662	191	25	by	by	ADP
ejpam-4662	191	26	solving	solve	VERB
ejpam-4662	191	27	easy	easy	ADJ
ejpam-4662	191	28	differential	differential	ADJ
ejpam-4662	191	29	equations	equation	NOUN
ejpam-4662	191	30	,	,	PUNCT
ejpam-4662	191	31	we	we	PRON
ejpam-4662	191	32	have	have	VERB
ejpam-4662	191	33	the	the	DET
ejpam-4662	191	34	representation	representation	NOUN
ejpam-4662	191	35	for	for	ADP
ejpam-4662	191	36	b(u	b(u	PROPN
ejpam-4662	191	37	)	)	PUNCT
ejpam-4662	192	1	=	=	SYM
ejpam-4662	192	2	−u	−u	PROPN
ejpam-4662	192	3	(	(	PUNCT
ejpam-4662	192	4	g−1(1−	g−1(1−	PROPN
ejpam-4662	192	5	u	u	NOUN
ejpam-4662	192	6	)	)	PUNCT
ejpam-4662	192	7	)	)	PUNCT
ejpam-4662	193	1	′	′	NUM
ejpam-4662	194	1	−	−	PROPN
ejpam-4662	194	2	γ	γ	X
ejpam-4662	194	3	,	,	PUNCT
ejpam-4662	194	4	u	u	NOUN
ejpam-4662	194	5	∈]0	∈]0	ADJ
ejpam-4662	194	6	,	,	PUNCT
ejpam-4662	194	7	1	1	NUM
ejpam-4662	194	8	[	[	PUNCT
ejpam-4662	194	9	and	and	CCONJ
ejpam-4662	194	10	a	a	DET
ejpam-4662	194	11	≡	≡	PROPN
ejpam-4662	194	12	0	0	NUM
ejpam-4662	194	13	(	(	PUNCT
ejpam-4662	194	14	9	9	NUM
ejpam-4662	194	15	)	)	PUNCT
ejpam-4662	194	16	for	for	ADP
ejpam-4662	194	17	γ	γ	X
ejpam-4662	194	18	>	>	X
ejpam-4662	194	19	0	0	NUM
ejpam-4662	194	20	and	and	CCONJ
ejpam-4662	194	21	b(u	b(u	PROPN
ejpam-4662	194	22	)	)	PUNCT
ejpam-4662	194	23	=	=	PUNCT
ejpam-4662	195	1	−γ	−γ	NOUN
ejpam-4662	195	2	−	−	PROPN
ejpam-4662	195	3	u	u	NOUN
ejpam-4662	195	4	f	f	NOUN
ejpam-4662	195	5	′	′	NUM
ejpam-4662	195	6	(	(	PUNCT
ejpam-4662	195	7	f−1(1−	f−1(1−	PROPN
ejpam-4662	195	8	u	u	NOUN
ejpam-4662	195	9	)	)	PUNCT
ejpam-4662	195	10	)	)	PUNCT
ejpam-4662	196	1	(	(	PUNCT
ejpam-4662	196	2	uep(f	uep(f	PROPN
ejpam-4662	196	3	)	)	PUNCT
ejpam-4662	196	4	−	−	PROPN
ejpam-4662	196	5	f−1(1−	f−1(1−	PROPN
ejpam-4662	196	6	u	u	PROPN
ejpam-4662	196	7	)	)	PUNCT
ejpam-4662	196	8	)	)	PUNCT
ejpam-4662	196	9	,	,	PUNCT
ejpam-4662	196	10	u	u	NOUN
ejpam-4662	196	11	∈]0	∈]0	ADJ
ejpam-4662	196	12	,	,	PUNCT
ejpam-4662	196	13	1	1	NUM
ejpam-4662	196	14	[	[	NOUN
ejpam-4662	196	15	.	.	PUNCT
ejpam-4662	197	1	(	(	PUNCT
ejpam-4662	197	2	10	10	NUM
ejpam-4662	197	3	)	)	PUNCT
ejpam-4662	197	4	for	for	ADP
ejpam-4662	197	5	γ	γ	X
ejpam-4662	197	6	<	<	X
ejpam-4662	197	7	0	0	PROPN
ejpam-4662	197	8	,	,	PUNCT
ejpam-4662	197	9	whenever	whenever	SCONJ
ejpam-4662	197	10	we	we	PRON
ejpam-4662	197	11	have	have	VERB
ejpam-4662	197	12	b(u	b(u	PROPN
ejpam-4662	197	13	)	)	PUNCT
ejpam-4662	197	14	→	→	SYM
ejpam-4662	197	15	0	0	PUNCT
ejpam-4662	197	16	as	as	ADP
ejpam-4662	197	17	u	u	NOUN
ejpam-4662	197	18	→	→	SYM
ejpam-4662	197	19	0	0	NUM
ejpam-4662	197	20	.	.	PUNCT
ejpam-4662	198	1	consequently	consequently	ADV
ejpam-4662	198	2	,	,	PUNCT
ejpam-4662	198	3	the	the	DET
ejpam-4662	198	4	rate	rate	NOUN
ejpam-4662	198	5	of	of	ADP
ejpam-4662	198	6	convergence	convergence	NOUN
ejpam-4662	198	7	reduces	reduce	VERB
ejpam-4662	198	8	to	to	ADP
ejpam-4662	198	9	op(bn	op(bn	PROPN
ejpam-4662	198	10	∨	∨	NUM
ejpam-4662	198	11	cn	cn	PROPN
ejpam-4662	198	12	)	)	PUNCT
ejpam-4662	198	13	.	.	PUNCT
ejpam-4662	199	1	for	for	ADP
ejpam-4662	199	2	γ	γ	X
ejpam-4662	199	3	=	=	SYM
ejpam-4662	199	4	0	0	NUM
ejpam-4662	199	5	,	,	PUNCT
ejpam-4662	199	6	representation	representation	NOUN
ejpam-4662	199	7	(	(	PUNCT
ejpam-4662	199	8	7	7	NUM
ejpam-4662	199	9	)	)	PUNCT
ejpam-4662	199	10	in	in	ADP
ejpam-4662	199	11	proposition	proposition	NOUN
ejpam-4662	199	12	2	2	NUM
ejpam-4662	199	13	holds	hold	VERB
ejpam-4662	199	14	for	for	ADP
ejpam-4662	199	15	s(u	s(u	NOUN
ejpam-4662	199	16	)	)	PUNCT
ejpam-4662	200	1	=	=	SYM
ejpam-4662	200	2	−u	−u	NOUN
ejpam-4662	200	3	(	(	PUNCT
ejpam-4662	200	4	f−1(1−	f−1(1−	PROPN
ejpam-4662	200	5	u	u	PROPN
ejpam-4662	200	6	)	)	PUNCT
ejpam-4662	200	7	)	)	PUNCT
ejpam-4662	200	8	′	′	NUM
ejpam-4662	200	9	,	,	PUNCT
ejpam-4662	200	10	0	0	NUM
ejpam-4662	200	11	<	<	X
ejpam-4662	200	12	u	u	X
ejpam-4662	200	13	<	<	X
ejpam-4662	200	14	1	1	NUM
ejpam-4662	200	15	,	,	PUNCT
ejpam-4662	200	16	whenever	whenever	SCONJ
ejpam-4662	200	17	it	it	PRON
ejpam-4662	200	18	is	be	AUX
ejpam-4662	200	19	slowly	slowly	ADV
ejpam-4662	200	20	varying	vary	VERB
ejpam-4662	200	21	at	at	ADP
ejpam-4662	200	22	zero	zero	NUM
ejpam-4662	200	23	and	and	CCONJ
ejpam-4662	200	24	the	the	DET
ejpam-4662	200	25	rate	rate	NOUN
ejpam-4662	200	26	of	of	ADP
ejpam-4662	200	27	convergence	convergence	NOUN
ejpam-4662	200	28	dn	dn	NOUN
ejpam-4662	200	29	becomes	become	VERB
ejpam-4662	200	30	useless	useless	ADJ
ejpam-4662	200	31	.	.	PUNCT
ejpam-4662	201	1	in	in	ADP
ejpam-4662	201	2	such	such	ADJ
ejpam-4662	201	3	case	case	NOUN
ejpam-4662	201	4	,	,	PUNCT
ejpam-4662	201	5	the	the	DET
ejpam-4662	201	6	rate	rate	NOUN
ejpam-4662	201	7	of	of	ADP
ejpam-4662	201	8	convergence	convergence	NOUN
ejpam-4662	201	9	reduces	reduce	VERB
ejpam-4662	201	10	op(dn	op(dn	PROPN
ejpam-4662	201	11	∨	∨	NUM
ejpam-4662	201	12	cn	cn	PROPN
ejpam-4662	201	13	)	)	PUNCT
ejpam-4662	201	14	.	.	PUNCT
ejpam-4662	202	1	furthermore	furthermore	ADV
ejpam-4662	202	2	,	,	PUNCT
ejpam-4662	202	3	based	base	VERB
ejpam-4662	202	4	on	on	ADP
ejpam-4662	202	5	the	the	DET
ejpam-4662	202	6	limit	limit	NOUN
ejpam-4662	202	7	sn	sn	PROPN
ejpam-4662	202	8	/	/	SYM
ejpam-4662	202	9	n	n	PROPN
ejpam-4662	202	10	→	→	SYM
ejpam-4662	202	11	1	1	NUM
ejpam-4662	202	12	as	as	ADP
ejpam-4662	202	13	n	n	NOUN
ejpam-4662	202	14	→	→	SYM
ejpam-4662	202	15	+	+	NOUN
ejpam-4662	202	16	∞	∞	PROPN
ejpam-4662	202	17	,	,	PUNCT
ejpam-4662	202	18	we	we	PRON
ejpam-4662	202	19	get	get	VERB
ejpam-4662	202	20	that	that	PRON
ejpam-4662	202	21	,	,	PUNCT
ejpam-4662	202	22	for	for	ADP
ejpam-4662	202	23	any	any	DET
ejpam-4662	202	24	η	η	NOUN
ejpam-4662	202	25	∈]0	∈]0	X
ejpam-4662	202	26	,	,	PUNCT
ejpam-4662	202	27	1	1	NUM
ejpam-4662	202	28	[	[	PUNCT
ejpam-4662	202	29	,	,	PUNCT
ejpam-4662	202	30	lim	lim	PROPN
ejpam-4662	202	31	inf	inf	PROPN
ejpam-4662	202	32	n→+∞	n→+∞	VERB
ejpam-4662	202	33	p	p	X
ejpam-4662	202	34	(	(	PUNCT
ejpam-4662	202	35	e−n	e−n	PROPN
ejpam-4662	202	36	/	/	SYM
ejpam-4662	202	37	η	η	PROPN
ejpam-4662	202	38	≤	≤	PROPN
ejpam-4662	202	39	e−sn	e−sn	PROPN
ejpam-4662	202	40	≤	≤	ADJ
ejpam-4662	202	41	e−ηn	e−ηn	NOUN
ejpam-4662	202	42	)	)	PUNCT
ejpam-4662	203	1	=	=	SYM
ejpam-4662	203	2	1	1	X
ejpam-4662	203	3	.	.	PUNCT
ejpam-4662	203	4	(	(	PUNCT
ejpam-4662	203	5	11	11	NUM
ejpam-4662	203	6	)	)	PUNCT
ejpam-4662	203	7	so	so	SCONJ
ejpam-4662	203	8	we	we	PRON
ejpam-4662	203	9	may	may	AUX
ejpam-4662	203	10	replace	replace	VERB
ejpam-4662	203	11	the	the	DET
ejpam-4662	203	12	rates	rate	NOUN
ejpam-4662	203	13	of	of	ADP
ejpam-4662	203	14	convergence	convergence	NOUN
ejpam-4662	203	15	dn	dn	NOUN
ejpam-4662	203	16	and	and	CCONJ
ejpam-4662	203	17	bn	bn	INTJ
ejpam-4662	203	18	by	by	ADP
ejpam-4662	203	19	dn(η	dn(η	NOUN
ejpam-4662	203	20	)	)	PUNCT
ejpam-4662	203	21	and	and	CCONJ
ejpam-4662	203	22	bn(η	bn(η	ADV
ejpam-4662	203	23	)	)	PUNCT
ejpam-4662	203	24	defined	define	VERB
ejpam-4662	203	25	as	as	ADP
ejpam-4662	203	26	follows	follow	VERB
ejpam-4662	203	27	,	,	PUNCT
ejpam-4662	203	28	for	for	ADP
ejpam-4662	203	29	η	η	PROPN
ejpam-4662	203	30	∈]0	∈]0	X
ejpam-4662	203	31	,	,	PUNCT
ejpam-4662	203	32	1	1	NUM
ejpam-4662	203	33	[	[	PUNCT
ejpam-4662	203	34	sup{|b(t)|	sup{|b(t)|	NOUN
ejpam-4662	203	35	,	,	PUNCT
ejpam-4662	203	36	0	0	NUM
ejpam-4662	203	37	≤	≤	NUM
ejpam-4662	203	38	t	t	PROPN
ejpam-4662	203	39	≤	≤	ADJ
ejpam-4662	203	40	e−ηn	e−ηn	NOUN
ejpam-4662	203	41	}	}	PUNCT
ejpam-4662	203	42	=	=	PUNCT
ejpam-4662	203	43	o(bn(η	o(bn(η	ADJ
ejpam-4662	203	44	)	)	PUNCT
ejpam-4662	203	45	)	)	PUNCT
ejpam-4662	204	1	(	(	PUNCT
ejpam-4662	204	2	12	12	NUM
ejpam-4662	204	3	)	)	PUNCT
ejpam-4662	204	4	and	and	CCONJ
ejpam-4662	204	5	sup	sup	NOUN
ejpam-4662	204	6	{	{	PUNCT
ejpam-4662	204	7	∣∣∣∣s(u)s(v	∣∣∣∣s(u)s(v	NOUN
ejpam-4662	204	8	)	)	PUNCT
ejpam-4662	204	9	−	−	PROPN
ejpam-4662	204	10	1	1	NUM
ejpam-4662	204	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4662	204	12	,	,	PUNCT
ejpam-4662	204	13	e−n	e−n	PROPN
ejpam-4662	204	14	/	/	SYM
ejpam-4662	204	15	η	η	PROPN
ejpam-4662	204	16	≤	≤	PROPN
ejpam-4662	204	17	u	u	PROPN
ejpam-4662	204	18	,	,	PUNCT
ejpam-4662	204	19	v	v	ADJ
ejpam-4662	204	20	≤	≤	X
ejpam-4662	204	21	e−ηn	e−ηn	X
ejpam-4662	204	22	}	}	PUNCT
ejpam-4662	204	23	=	=	PUNCT
ejpam-4662	204	24	o(dn(η	o(dn(η	ADJ
ejpam-4662	204	25	)	)	PUNCT
ejpam-4662	204	26	)	)	PUNCT
ejpam-4662	204	27	.	.	PUNCT
ejpam-4662	205	1	(	(	PUNCT
ejpam-4662	205	2	13	13	NUM
ejpam-4662	205	3	)	)	PUNCT
ejpam-4662	205	4	s.	s.	PROPN
ejpam-4662	205	5	dembele	dembele	PROPN
ejpam-4662	205	6	et	et	PROPN
ejpam-4662	205	7	al	al	PROPN
ejpam-4662	205	8	.	.	PUNCT
ejpam-4662	205	9	/	/	SYM
ejpam-4662	205	10	eur	eur	PROPN
ejpam-4662	205	11	.	.	PUNCT
ejpam-4662	206	1	j.	j.	PROPN
ejpam-4662	206	2	pure	pure	PROPN
ejpam-4662	206	3	appl	appl	PROPN
ejpam-4662	206	4	.	.	PROPN
ejpam-4662	206	5	math	math	PROPN
ejpam-4662	206	6	,	,	PUNCT
ejpam-4662	206	7	16	16	NUM
ejpam-4662	206	8	(	(	PUNCT
ejpam-4662	206	9	1	1	NUM
ejpam-4662	206	10	)	)	PUNCT
ejpam-4662	206	11	(	(	PUNCT
ejpam-4662	206	12	2023	2023	NUM
ejpam-4662	206	13	)	)	PUNCT
ejpam-4662	206	14	,	,	PUNCT
ejpam-4662	206	15	609	609	NUM
ejpam-4662	206	16	-	-	SYM
ejpam-4662	206	17	656	656	NUM
ejpam-4662	206	18	619	619	NUM
ejpam-4662	206	19	1.3	1.3	NUM
ejpam-4662	206	20	.	.	PUNCT
ejpam-4662	207	1	burr	burr	PROPN
ejpam-4662	207	2	’s	’s	PART
ejpam-4662	207	3	family	family	NOUN
ejpam-4662	207	4	we	we	PRON
ejpam-4662	207	5	may	may	AUX
ejpam-4662	207	6	quote	quote	VERB
ejpam-4662	207	7	[	[	X
ejpam-4662	207	8	12	12	NUM
ejpam-4662	207	9	]	]	PUNCT
ejpam-4662	207	10	,	,	PUNCT
ejpam-4662	207	11	”	"	PUNCT
ejpam-4662	207	12	in	in	ADP
ejpam-4662	207	13	a	a	DET
ejpam-4662	207	14	serie	serie	NOUN
ejpam-4662	207	15	of	of	ADP
ejpam-4662	207	16	papers	paper	NOUN
ejpam-4662	207	17	,	,	PUNCT
ejpam-4662	207	18	burr	burr	NOUN
ejpam-4662	207	19	(	(	PUNCT
ejpam-4662	207	20	[	[	X
ejpam-4662	207	21	7	7	NUM
ejpam-4662	207	22	]	]	PUNCT
ejpam-4662	207	23	,	,	PUNCT
ejpam-4662	207	24	[	[	X
ejpam-4662	207	25	8	8	NUM
ejpam-4662	207	26	]	]	PUNCT
ejpam-4662	207	27	and	and	CCONJ
ejpam-4662	207	28	[	[	X
ejpam-4662	207	29	9	9	NUM
ejpam-4662	207	30	]	]	PUNCT
ejpam-4662	207	31	)	)	PUNCT
ejpam-4662	207	32	has	have	AUX
ejpam-4662	207	33	proposed	propose	VERB
ejpam-4662	207	34	a	a	DET
ejpam-4662	207	35	versatile	versatile	ADJ
ejpam-4662	207	36	family	family	NOUN
ejpam-4662	207	37	of	of	ADP
ejpam-4662	207	38	densities	density	NOUN
ejpam-4662	207	39	”	"	PUNCT
ejpam-4662	207	40	.	.	PUNCT
ejpam-4662	208	1	that	that	DET
ejpam-4662	208	2	class	class	NOUN
ejpam-4662	208	3	has	have	VERB
ejpam-4662	208	4	twelve	twelve	NUM
ejpam-4662	208	5	(	(	PUNCT
ejpam-4662	208	6	12	12	NUM
ejpam-4662	208	7	)	)	PUNCT
ejpam-4662	208	8	statistical	statistical	ADJ
ejpam-4662	208	9	distributions	distribution	NOUN
ejpam-4662	208	10	given	give	VERB
ejpam-4662	208	11	in	in	ADP
ejpam-4662	208	12	table	table	NOUN
ejpam-4662	208	13	1	1	NUM
ejpam-4662	208	14	,	,	PUNCT
ejpam-4662	208	15	in	in	ADP
ejpam-4662	208	16	which	which	PRON
ejpam-4662	208	17	k	k	NOUN
ejpam-4662	208	18	,	,	PUNCT
ejpam-4662	208	19	c	c	NOUN
ejpam-4662	208	20	and	and	CCONJ
ejpam-4662	208	21	r	r	NOUN
ejpam-4662	208	22	are	be	AUX
ejpam-4662	208	23	positive	positive	ADJ
ejpam-4662	208	24	parameters	parameter	NOUN
ejpam-4662	208	25	and	and	CCONJ
ejpam-4662	208	26	the	the	DET
ejpam-4662	208	27	support	support	NOUN
ejpam-4662	208	28	or	or	CCONJ
ejpam-4662	208	29	domain	domain	NOUN
ejpam-4662	208	30	of	of	ADP
ejpam-4662	208	31	each	each	DET
ejpam-4662	208	32	element	element	NOUN
ejpam-4662	208	33	of	of	ADP
ejpam-4662	208	34	the	the	DET
ejpam-4662	208	35	family	family	NOUN
ejpam-4662	208	36	are	be	AUX
ejpam-4662	208	37	precised	precis	VERB
ejpam-4662	208	38	.	.	PUNCT
ejpam-4662	209	1	we	we	PRON
ejpam-4662	209	2	added	add	VERB
ejpam-4662	209	3	the	the	DET
ejpam-4662	209	4	distribution	distribution	NOUN
ejpam-4662	209	5	(	(	PUNCT
ejpam-4662	209	6	xa	xa	PROPN
ejpam-4662	209	7	)	)	PUNCT
ejpam-4662	209	8	as	as	ADP
ejpam-4662	209	9	a	a	DET
ejpam-4662	209	10	version	version	NOUN
ejpam-4662	209	11	of	of	ADP
ejpam-4662	209	12	the	the	DET
ejpam-4662	209	13	distribution	distribution	NOUN
ejpam-4662	209	14	(	(	PUNCT
ejpam-4662	209	15	x	x	NOUN
ejpam-4662	209	16	)	)	PUNCT
ejpam-4662	209	17	.	.	PUNCT
ejpam-4662	210	1	since	since	SCONJ
ejpam-4662	210	2	,	,	PUNCT
ejpam-4662	210	3	some	some	DET
ejpam-4662	210	4	elements	element	NOUN
ejpam-4662	210	5	of	of	ADP
ejpam-4662	210	6	that	that	DET
ejpam-4662	210	7	family	family	NOUN
ejpam-4662	210	8	have	have	AUX
ejpam-4662	210	9	taken	take	VERB
ejpam-4662	210	10	important	important	ADJ
ejpam-4662	210	11	roles	role	NOUN
ejpam-4662	210	12	in	in	ADP
ejpam-4662	210	13	many	many	ADJ
ejpam-4662	210	14	parts	part	NOUN
ejpam-4662	210	15	of	of	ADP
ejpam-4662	210	16	statistics	statistic	NOUN
ejpam-4662	210	17	and	and	CCONJ
ejpam-4662	210	18	have	have	AUX
ejpam-4662	210	19	been	be	AUX
ejpam-4662	210	20	extended	extend	VERB
ejpam-4662	210	21	a	a	DET
ejpam-4662	210	22	great	great	ADJ
ejpam-4662	210	23	number	number	NOUN
ejpam-4662	210	24	of	of	ADP
ejpam-4662	210	25	times	time	NOUN
ejpam-4662	210	26	.	.	PUNCT
ejpam-4662	211	1	let	let	VERB
ejpam-4662	211	2	us	we	PRON
ejpam-4662	211	3	denote	denote	VERB
ejpam-4662	211	4	any	any	DET
ejpam-4662	211	5	burr	burr	NOUN
ejpam-4662	211	6	distribution	distribution	NOUN
ejpam-4662	211	7	by	by	ADP
ejpam-4662	211	8	b(t	b(t	PROPN
ejpam-4662	211	9	,	,	PUNCT
ejpam-4662	211	10	a	a	DET
ejpam-4662	211	11	,	,	PUNCT
ejpam-4662	211	12	b	b	NOUN
ejpam-4662	211	13	,	,	PUNCT
ejpam-4662	211	14	c	c	NOUN
ejpam-4662	211	15	)	)	PUNCT
ejpam-4662	211	16	where	where	SCONJ
ejpam-4662	211	17	t	t	PROPN
ejpam-4662	211	18	stands	stand	VERB
ejpam-4662	211	19	of	of	ADP
ejpam-4662	211	20	(	(	PUNCT
ejpam-4662	211	21	i	i	NOUN
ejpam-4662	211	22	)	)	PUNCT
ejpam-4662	211	23	,	,	PUNCT
ejpam-4662	211	24	·	·	PUNCT
ejpam-4662	211	25	·	·	PUNCT
ejpam-4662	211	26	·	·	PUNCT
ejpam-4662	211	27	,	,	PUNCT
ejpam-4662	211	28	(	(	PUNCT
ejpam-4662	211	29	xii	xii	NOUN
ejpam-4662	211	30	)	)	PUNCT
ejpam-4662	211	31	,	,	PUNCT
ejpam-4662	211	32	the	the	DET
ejpam-4662	211	33	last	last	ADJ
ejpam-4662	211	34	cited	cite	VERB
ejpam-4662	211	35	parameter	parameter	NOUN
ejpam-4662	211	36	is	be	AUX
ejpam-4662	211	37	the	the	DET
ejpam-4662	211	38	final	final	ADJ
ejpam-4662	211	39	power	power	NOUN
ejpam-4662	211	40	of	of	ADP
ejpam-4662	211	41	the	the	DET
ejpam-4662	211	42	cdf	cdf	NOUN
ejpam-4662	211	43	,	,	PUNCT
ejpam-4662	211	44	if	if	SCONJ
ejpam-4662	211	45	such	such	DET
ejpam-4662	211	46	a	a	DET
ejpam-4662	211	47	power	power	NOUN
ejpam-4662	211	48	exists	exist	VERB
ejpam-4662	211	49	,	,	PUNCT
ejpam-4662	211	50	and	and	CCONJ
ejpam-4662	211	51	the	the	DET
ejpam-4662	211	52	first	first	ADJ
ejpam-4662	211	53	parameters	parameter	NOUN
ejpam-4662	211	54	are	be	AUX
ejpam-4662	211	55	cited	cite	VERB
ejpam-4662	211	56	in	in	ADP
ejpam-4662	211	57	the	the	DET
ejpam-4662	211	58	order	order	NOUN
ejpam-4662	211	59	of	of	ADP
ejpam-4662	211	60	appearance	appearance	NOUN
ejpam-4662	211	61	.	.	PUNCT
ejpam-4662	212	1	also	also	ADV
ejpam-4662	212	2	,	,	PUNCT
ejpam-4662	212	3	that	that	SCONJ
ejpam-4662	212	4	family	family	NOUN
ejpam-4662	212	5	intersects	intersect	VERB
ejpam-4662	212	6	with	with	ADP
ejpam-4662	212	7	celebrated	celebrate	VERB
ejpam-4662	212	8	other	other	ADJ
ejpam-4662	212	9	families	family	NOUN
ejpam-4662	212	10	of	of	ADP
ejpam-4662	212	11	distribution	distribution	NOUN
ejpam-4662	212	12	:	:	PUNCT
ejpam-4662	212	13	pearson	pearson	PROPN
ejpam-4662	212	14	,	,	PUNCT
ejpam-4662	212	15	dagum	dagum	NOUN
ejpam-4662	212	16	and	and	CCONJ
ejpam-4662	212	17	singh	singh	ADJ
ejpam-4662	212	18	-	-	PUNCT
ejpam-4662	212	19	magdalla	magdalla	NOUN
ejpam-4662	212	20	families	family	NOUN
ejpam-4662	212	21	to	to	PART
ejpam-4662	212	22	cite	cite	VERB
ejpam-4662	212	23	a	a	DET
ejpam-4662	212	24	few	few	ADJ
ejpam-4662	212	25	.	.	PUNCT
ejpam-4662	213	1	for	for	ADP
ejpam-4662	213	2	example	example	NOUN
ejpam-4662	213	3	the	the	DET
ejpam-4662	213	4	sing	sing	NOUN
ejpam-4662	213	5	-	-	PUNCT
ejpam-4662	213	6	madalla	madalla	NOUN
ejpam-4662	213	7	(	(	PUNCT
ejpam-4662	213	8	see	see	VERB
ejpam-4662	213	9	[	[	X
ejpam-4662	213	10	21	21	NUM
ejpam-4662	213	11	]	]	PUNCT
ejpam-4662	213	12	,	,	PUNCT
ejpam-4662	213	13	[	[	X
ejpam-4662	213	14	10	10	NUM
ejpam-4662	213	15	]	]	PUNCT
ejpam-4662	213	16	,	,	PUNCT
ejpam-4662	213	17	[	[	X
ejpam-4662	213	18	18	18	NUM
ejpam-4662	213	19	]	]	PUNCT
ejpam-4662	213	20	,	,	PUNCT
ejpam-4662	213	21	etc	etc	X
ejpam-4662	213	22	)	)	PUNCT
ejpam-4662	213	23	defined	define	VERB
ejpam-4662	213	24	by	by	ADP
ejpam-4662	213	25	fsm(a	fsm(a	PROPN
ejpam-4662	213	26	,	,	PUNCT
ejpam-4662	213	27	b	b	NOUN
ejpam-4662	213	28	,	,	PUNCT
ejpam-4662	213	29	c)(x	c)(x	PROPN
ejpam-4662	213	30	)	)	PUNCT
ejpam-4662	214	1	=	=	SYM
ejpam-4662	214	2	1−	1−	NUM
ejpam-4662	214	3	(	(	PUNCT
ejpam-4662	214	4	1	1	NUM
ejpam-4662	214	5	+	+	CCONJ
ejpam-4662	214	6	axc)−r	axc)−r	PROPN
ejpam-4662	214	7	,	,	PUNCT
ejpam-4662	214	8	x	x	X
ejpam-4662	214	9	≥	≥	NOUN
ejpam-4662	214	10	0	0	NUM
ejpam-4662	214	11	,	,	PUNCT
ejpam-4662	214	12	a	a	PRON
ejpam-4662	214	13	>	>	X
ejpam-4662	214	14	0	0	NUM
ejpam-4662	214	15	,	,	PUNCT
ejpam-4662	214	16	b	b	X
ejpam-4662	214	17	>	>	X
ejpam-4662	214	18	0	0	NUM
ejpam-4662	214	19	,	,	PUNCT
ejpam-4662	214	20	c	c	X
ejpam-4662	214	21	>	>	X
ejpam-4662	214	22	0	0	PUNCT
ejpam-4662	214	23	reduces	reduce	VERB
ejpam-4662	214	24	to	to	ADP
ejpam-4662	214	25	the	the	DET
ejpam-4662	214	26	b(xii	b(xii	NOUN
ejpam-4662	214	27	,	,	PUNCT
ejpam-4662	214	28	1	1	NUM
ejpam-4662	214	29	,	,	PUNCT
ejpam-4662	214	30	c	c	X
ejpam-4662	214	31	,	,	PUNCT
ejpam-4662	214	32	r	r	NOUN
ejpam-4662	214	33	)	)	PUNCT
ejpam-4662	214	34	law	law	NOUN
ejpam-4662	214	35	.	.	PUNCT
ejpam-4662	215	1	if	if	SCONJ
ejpam-4662	215	2	x	x	PRON
ejpam-4662	215	3	∼	∼	NOUN
ejpam-4662	215	4	sm(a	sm(a	NOUN
ejpam-4662	215	5	,	,	PUNCT
ejpam-4662	215	6	b	b	NOUN
ejpam-4662	215	7	,	,	PUNCT
ejpam-4662	215	8	c	c	NOUN
ejpam-4662	215	9	)	)	PUNCT
ejpam-4662	215	10	,	,	PUNCT
ejpam-4662	215	11	the	the	DET
ejpam-4662	215	12	variable	variable	ADJ
ejpam-4662	215	13	1	1	NUM
ejpam-4662	215	14	/	/	SYM
ejpam-4662	215	15	x	x	PUNCT
ejpam-4662	215	16	becomes	become	VERB
ejpam-4662	215	17	a	a	DET
ejpam-4662	215	18	dagum	dagum	NOUN
ejpam-4662	215	19	law	law	NOUN
ejpam-4662	215	20	with	with	ADP
ejpam-4662	215	21	fd(a	fd(a	PROPN
ejpam-4662	215	22	,	,	PUNCT
ejpam-4662	215	23	b	b	PROPN
ejpam-4662	215	24	,	,	PUNCT
ejpam-4662	215	25	c)(x	c)(x	PROPN
ejpam-4662	215	26	)	)	PUNCT
ejpam-4662	216	1	=	=	PUNCT
ejpam-4662	216	2	(	(	PUNCT
ejpam-4662	216	3	1	1	NUM
ejpam-4662	216	4	+	+	NUM
ejpam-4662	216	5	ax−b)−c	ax−b)−c	NOUN
ejpam-4662	216	6	,	,	PUNCT
ejpam-4662	216	7	x	x	X
ejpam-4662	216	8	≥	≥	NOUN
ejpam-4662	216	9	0	0	NUM
ejpam-4662	216	10	,	,	PUNCT
ejpam-4662	216	11	a	a	DET
ejpam-4662	216	12	>	>	X
ejpam-4662	216	13	0	0	NUM
ejpam-4662	216	14	,	,	PUNCT
ejpam-4662	216	15	b	b	X
ejpam-4662	216	16	>	>	X
ejpam-4662	216	17	0	0	NUM
ejpam-4662	216	18	,	,	PUNCT
ejpam-4662	216	19	c	c	NOUN
ejpam-4662	216	20	>	>	X
ejpam-4662	216	21	0	0	NUM
ejpam-4662	216	22	.	.	PUNCT
ejpam-4662	217	1	that	that	DET
ejpam-4662	217	2	element	element	NOUN
ejpam-4662	217	3	of	of	ADP
ejpam-4662	217	4	the	the	DET
ejpam-4662	217	5	dagum	dagum	NOUN
ejpam-4662	217	6	class	class	NOUN
ejpam-4662	217	7	has	have	AUX
ejpam-4662	217	8	been	be	AUX
ejpam-4662	217	9	generalized	generalize	VERB
ejpam-4662	217	10	in	in	ADP
ejpam-4662	217	11	[	[	X
ejpam-4662	217	12	18	18	NUM
ejpam-4662	217	13	]	]	PUNCT
ejpam-4662	217	14	as	as	ADP
ejpam-4662	217	15	the	the	DET
ejpam-4662	217	16	topp	topp	NOUN
ejpam-4662	217	17	-	-	PUNCT
ejpam-4662	217	18	leone	leone	NOUN
ejpam-4662	217	19	dagum	dagum	NOUN
ejpam-4662	217	20	distribution	distribution	NOUN
ejpam-4662	217	21	of	of	ADP
ejpam-4662	217	22	parameters	parameter	NOUN
ejpam-4662	217	23	a	a	DET
ejpam-4662	217	24	>	>	X
ejpam-4662	217	25	0	0	NUM
ejpam-4662	217	26	,	,	PUNCT
ejpam-4662	217	27	b	b	X
ejpam-4662	217	28	>	>	X
ejpam-4662	217	29	0	0	NUM
ejpam-4662	217	30	,	,	PUNCT
ejpam-4662	217	31	c	c	NOUN
ejpam-4662	217	32	>	>	X
ejpam-4662	217	33	0	0	PROPN
ejpam-4662	217	34	,	,	PUNCT
ejpam-4662	217	35	d	d	X
ejpam-4662	217	36	>	>	X
ejpam-4662	217	37	0	0	PROPN
ejpam-4662	217	38	,	,	PUNCT
ejpam-4662	217	39	f	f	PROPN
ejpam-4662	217	40	>	>	X
ejpam-4662	217	41	0	0	PROPN
ejpam-4662	217	42	,	,	PUNCT
ejpam-4662	217	43	f	f	PROPN
ejpam-4662	217	44	(	(	PUNCT
ejpam-4662	217	45	x	x	X
ejpam-4662	217	46	)	)	PUNCT
ejpam-4662	217	47	=	=	SYM
ejpam-4662	218	1	(	(	PUNCT
ejpam-4662	218	2	1−	1−	NUM
ejpam-4662	218	3	(	(	PUNCT
ejpam-4662	218	4	{	{	PUNCT
ejpam-4662	218	5	1−	1−	NUM
ejpam-4662	218	6	(	(	PUNCT
ejpam-4662	218	7	1	1	NUM
ejpam-4662	218	8	+	+	NUM
ejpam-4662	218	9	ax−b)−c	ax−b)−c	NOUN
ejpam-4662	218	10	}	}	PUNCT
ejpam-4662	218	11	)	)	PUNCT
ejpam-4662	218	12	d)f	d)f	X
ejpam-4662	218	13	,	,	PUNCT
ejpam-4662	218	14	x	x	X
ejpam-4662	218	15	≥	≥	NOUN
ejpam-4662	218	16	0	0	NUM
ejpam-4662	218	17	,	,	PUNCT
ejpam-4662	218	18	(	(	PUNCT
ejpam-4662	218	19	14	14	NUM
ejpam-4662	218	20	)	)	PUNCT
ejpam-4662	218	21	where	where	SCONJ
ejpam-4662	218	22	f	f	NOUN
ejpam-4662	218	23	=	=	SYM
ejpam-4662	218	24	2	2	NUM
ejpam-4662	218	25	is	be	AUX
ejpam-4662	218	26	[	[	X
ejpam-4662	218	27	18	18	NUM
ejpam-4662	218	28	]	]	PUNCT
ejpam-4662	218	29	.	.	PUNCT
ejpam-4662	219	1	but	but	CCONJ
ejpam-4662	219	2	we	we	PRON
ejpam-4662	219	3	let	let	VERB
ejpam-4662	219	4	f	f	PROPN
ejpam-4662	219	5	>	>	X
ejpam-4662	219	6	0	0	PUNCT
ejpam-4662	220	1	and	and	CCONJ
ejpam-4662	220	2	we	we	PRON
ejpam-4662	220	3	still	still	ADV
ejpam-4662	220	4	have	have	VERB
ejpam-4662	220	5	a	a	DET
ejpam-4662	220	6	cdf	cdf	NOUN
ejpam-4662	220	7	.	.	PUNCT
ejpam-4662	221	1	especially	especially	ADV
ejpam-4662	221	2	,	,	PUNCT
ejpam-4662	221	3	the	the	DET
ejpam-4662	221	4	b(xii	b(xii	NOUN
ejpam-4662	221	5	,	,	PUNCT
ejpam-4662	221	6	a	a	DET
ejpam-4662	221	7	,	,	PUNCT
ejpam-4662	221	8	b	b	NOUN
ejpam-4662	221	9	,	,	PUNCT
ejpam-4662	221	10	c	c	NOUN
ejpam-4662	221	11	)	)	PUNCT
ejpam-4662	221	12	distribution	distribution	NOUN
ejpam-4662	221	13	is	be	AUX
ejpam-4662	221	14	an	an	DET
ejpam-4662	221	15	instrumental	instrumental	ADJ
ejpam-4662	221	16	tool	tool	NOUN
ejpam-4662	221	17	in	in	ADP
ejpam-4662	221	18	extreme	extreme	ADJ
ejpam-4662	221	19	value	value	NOUN
ejpam-4662	221	20	distribution	distribution	NOUN
ejpam-4662	221	21	(	(	PUNCT
ejpam-4662	221	22	see	see	VERB
ejpam-4662	221	23	for	for	ADP
ejpam-4662	221	24	example	example	NOUN
ejpam-4662	221	25	[	[	X
ejpam-4662	221	26	20	20	NUM
ejpam-4662	221	27	]	]	NUM
ejpam-4662	221	28	)	)	PUNCT
ejpam-4662	221	29	.	.	PUNCT
ejpam-4662	222	1	also	also	ADV
ejpam-4662	222	2	the	the	DET
ejpam-4662	222	3	b(iii	b(iii	PROPN
ejpam-4662	222	4	,	,	PUNCT
ejpam-4662	222	5	a	a	PRON
ejpam-4662	222	6	,	,	PUNCT
ejpam-4662	222	7	b	b	NOUN
ejpam-4662	222	8	,	,	PUNCT
ejpam-4662	222	9	c	c	NOUN
ejpam-4662	222	10	)	)	PUNCT
ejpam-4662	222	11	distribution	distribution	NOUN
ejpam-4662	222	12	is	be	AUX
ejpam-4662	222	13	also	also	ADV
ejpam-4662	222	14	a	a	DET
ejpam-4662	222	15	member	member	NOUN
ejpam-4662	222	16	of	of	ADP
ejpam-4662	222	17	the	the	DET
ejpam-4662	222	18	dagum	dagum	NOUN
ejpam-4662	222	19	distributions	distribution	NOUN
ejpam-4662	222	20	system	system	NOUN
ejpam-4662	222	21	(	(	PUNCT
ejpam-4662	222	22	[	[	X
ejpam-4662	222	23	14	14	NUM
ejpam-4662	222	24	]	]	SYM
ejpam-4662	222	25	)	)	PUNCT
ejpam-4662	222	26	which	which	PRON
ejpam-4662	222	27	dagum	dagum	VERB
ejpam-4662	222	28	himself	himself	PRON
ejpam-4662	222	29	named	name	VERB
ejpam-4662	222	30	as	as	ADP
ejpam-4662	222	31	a	a	DET
ejpam-4662	222	32	generalized	generalized	ADJ
ejpam-4662	222	33	burr	burr	NOUN
ejpam-4662	222	34	system	system	NOUN
ejpam-4662	222	35	.	.	PUNCT
ejpam-4662	223	1	1.4	1.4	NUM
ejpam-4662	223	2	.	.	PUNCT
ejpam-4662	223	3	motivations	motivation	NOUN
ejpam-4662	223	4	and	and	CCONJ
ejpam-4662	223	5	organization	organization	NOUN
ejpam-4662	223	6	of	of	ADP
ejpam-4662	223	7	the	the	DET
ejpam-4662	223	8	paper	paper	NOUN
ejpam-4662	223	9	our	our	PRON
ejpam-4662	223	10	achievements	achievement	NOUN
ejpam-4662	223	11	in	in	ADP
ejpam-4662	223	12	that	that	DET
ejpam-4662	223	13	paper	paper	NOUN
ejpam-4662	223	14	is	be	AUX
ejpam-4662	223	15	that	that	SCONJ
ejpam-4662	223	16	we	we	PRON
ejpam-4662	223	17	entirely	entirely	ADV
ejpam-4662	223	18	characterized	characterize	VERB
ejpam-4662	223	19	the	the	DET
ejpam-4662	223	20	asymptotic	asymptotic	ADJ
ejpam-4662	223	21	laws	law	NOUN
ejpam-4662	223	22	for	for	ADP
ejpam-4662	223	23	record	record	NOUN
ejpam-4662	223	24	values	value	NOUN
ejpam-4662	223	25	of	of	ADP
ejpam-4662	223	26	cdf	cdf	PROPN
ejpam-4662	223	27	’s	’s	X
ejpam-4662	223	28	in	in	ADP
ejpam-4662	223	29	the	the	DET
ejpam-4662	223	30	burr	burr	NOUN
ejpam-4662	223	31	family	family	NOUN
ejpam-4662	223	32	based	base	VERB
ejpam-4662	223	33	on	on	ADP
ejpam-4662	223	34	the	the	DET
ejpam-4662	223	35	second	second	ADJ
ejpam-4662	223	36	order	order	NOUN
ejpam-4662	223	37	expansions	expansion	NOUN
ejpam-4662	223	38	of	of	ADP
ejpam-4662	223	39	their	their	PRON
ejpam-4662	223	40	s.	s.	PROPN
ejpam-4662	223	41	dembele	dembele	PROPN
ejpam-4662	223	42	et	et	PROPN
ejpam-4662	223	43	al	al	PROPN
ejpam-4662	223	44	.	.	PUNCT
ejpam-4662	223	45	/	/	SYM
ejpam-4662	223	46	eur	eur	PROPN
ejpam-4662	223	47	.	.	PUNCT
ejpam-4662	224	1	j.	j.	PROPN
ejpam-4662	224	2	pure	pure	PROPN
ejpam-4662	224	3	appl	appl	PROPN
ejpam-4662	224	4	.	.	PROPN
ejpam-4662	224	5	math	math	PROPN
ejpam-4662	224	6	,	,	PUNCT
ejpam-4662	224	7	16	16	NUM
ejpam-4662	224	8	(	(	PUNCT
ejpam-4662	224	9	1	1	NUM
ejpam-4662	224	10	)	)	PUNCT
ejpam-4662	224	11	(	(	PUNCT
ejpam-4662	224	12	2023	2023	NUM
ejpam-4662	224	13	)	)	PUNCT
ejpam-4662	224	14	,	,	PUNCT
ejpam-4662	224	15	609	609	NUM
ejpam-4662	224	16	-	-	SYM
ejpam-4662	224	17	656	656	NUM
ejpam-4662	224	18	620	620	NUM
ejpam-4662	224	19	number	number	NOUN
ejpam-4662	224	20	f	f	NOUN
ejpam-4662	224	21	(	(	PUNCT
ejpam-4662	224	22	x	x	NOUN
ejpam-4662	224	23	)	)	PUNCT
ejpam-4662	224	24	domain	domain	NOUN
ejpam-4662	224	25	f−1(u	f−1(u	PROPN
ejpam-4662	224	26	)	)	PUNCT
ejpam-4662	225	1	i	i	PRON
ejpam-4662	225	2	f	f	X
ejpam-4662	225	3	(	(	PUNCT
ejpam-4662	225	4	x	x	X
ejpam-4662	225	5	)	)	PUNCT
ejpam-4662	225	6	=	=	SYM
ejpam-4662	225	7	x	x	SYM
ejpam-4662	225	8	(	(	PUNCT
ejpam-4662	225	9	0	0	NUM
ejpam-4662	225	10	,	,	PUNCT
ejpam-4662	225	11	1	1	NUM
ejpam-4662	225	12	)	)	PUNCT
ejpam-4662	225	13	f−1(u	f−1(u	PROPN
ejpam-4662	225	14	)	)	PUNCT
ejpam-4662	226	1	=	=	SYM
ejpam-4662	226	2	u	u	PROPN
ejpam-4662	226	3	ii	ii	PROPN
ejpam-4662	226	4	(	(	PUNCT
ejpam-4662	226	5	1	1	NUM
ejpam-4662	226	6	+	+	CCONJ
ejpam-4662	226	7	e−x	e−x	NOUN
ejpam-4662	226	8	)	)	PUNCT
ejpam-4662	226	9	−r	−r	ADJ
ejpam-4662	226	10	r	r	NOUN
ejpam-4662	226	11	log	log	NOUN
ejpam-4662	226	12	(	(	PUNCT
ejpam-4662	226	13	u1	u1	NOUN
ejpam-4662	226	14	/	/	SYM
ejpam-4662	226	15	r	r	NOUN
ejpam-4662	226	16	1−u1	1−u1	NUM
ejpam-4662	226	17	/	/	SYM
ejpam-4662	226	18	r	r	NOUN
ejpam-4662	226	19	)	)	PUNCT
ejpam-4662	226	20	iii	iii	NOUN
ejpam-4662	226	21	(	(	PUNCT
ejpam-4662	226	22	1	1	NUM
ejpam-4662	226	23	+	+	CCONJ
ejpam-4662	226	24	x−k	x−k	X
ejpam-4662	226	25	)	)	PUNCT
ejpam-4662	226	26	−r	−r	ADJ
ejpam-4662	226	27	r+	r+	PRON
ejpam-4662	226	28	(	(	PUNCT
ejpam-4662	226	29	u1	u1	NOUN
ejpam-4662	226	30	/	/	SYM
ejpam-4662	226	31	r	r	NOUN
ejpam-4662	226	32	1−u1	1−u1	NUM
ejpam-4662	226	33	/	/	SYM
ejpam-4662	226	34	r	r	NOUN
ejpam-4662	226	35	)	)	PUNCT
ejpam-4662	226	36	1	1	NUM
ejpam-4662	226	37	/	/	SYM
ejpam-4662	226	38	k	k	NOUN
ejpam-4662	226	39	iv	iv	NUM
ejpam-4662	226	40	(	(	PUNCT
ejpam-4662	226	41	1	1	NUM
ejpam-4662	226	42	+	+	CCONJ
ejpam-4662	226	43	(	(	PUNCT
ejpam-4662	226	44	c−x	c−x	NOUN
ejpam-4662	226	45	x	x	SYM
ejpam-4662	226	46	)	)	PUNCT
ejpam-4662	226	47	1	1	NUM
ejpam-4662	226	48	/	/	SYM
ejpam-4662	226	49	c)−r	c)−r	X
ejpam-4662	226	50	(	(	PUNCT
ejpam-4662	226	51	0	0	NUM
ejpam-4662	226	52	,	,	PUNCT
ejpam-4662	226	53	c	c	NOUN
ejpam-4662	226	54	)	)	PUNCT
ejpam-4662	226	55	c	c	NOUN
ejpam-4662	226	56	1	1	NUM
ejpam-4662	226	57	+	+	CCONJ
ejpam-4662	226	58	(	(	PUNCT
ejpam-4662	226	59	1−u1	1−u1	NUM
ejpam-4662	226	60	/	/	SYM
ejpam-4662	226	61	r	r	NOUN
ejpam-4662	226	62	u1	u1	NOUN
ejpam-4662	226	63	/	/	SYM
ejpam-4662	226	64	r	r	NOUN
ejpam-4662	226	65	)	)	PUNCT
ejpam-4662	226	66	c	c	NOUN
ejpam-4662	226	67	v	v	NOUN
ejpam-4662	226	68	(	(	PUNCT
ejpam-4662	226	69	1	1	NUM
ejpam-4662	226	70	+	+	CCONJ
ejpam-4662	226	71	ke−	ke−	PROPN
ejpam-4662	226	72	tanx	tanx	NOUN
ejpam-4662	226	73	)	)	PUNCT
ejpam-4662	226	74	−r	−r	PROPN
ejpam-4662	226	75	(	(	PUNCT
ejpam-4662	226	76	−π/2	−π/2	PROPN
ejpam-4662	226	77	,	,	PUNCT
ejpam-4662	226	78	π/2	π/2	NUM
ejpam-4662	226	79	)	)	PUNCT
ejpam-4662	226	80	arctan	arctan	PROPN
ejpam-4662	226	81	(	(	PUNCT
ejpam-4662	226	82	log	log	PROPN
ejpam-4662	226	83	(	(	PUNCT
ejpam-4662	226	84	k	k	X
ejpam-4662	226	85	(	(	PUNCT
ejpam-4662	226	86	u−1	u−1	PROPN
ejpam-4662	226	87	/	/	SYM
ejpam-4662	226	88	r−1	r−1	PROPN
ejpam-4662	226	89	)	)	PUNCT
ejpam-4662	226	90	)	)	PUNCT
ejpam-4662	226	91	)	)	PUNCT
ejpam-4662	226	92	vi	vi	PROPN
ejpam-4662	226	93	(	(	PUNCT
ejpam-4662	226	94	1	1	NUM
ejpam-4662	226	95	+	+	CCONJ
ejpam-4662	226	96	ke−	ke−	PROPN
ejpam-4662	226	97	sinhx	sinhx	NOUN
ejpam-4662	226	98	)	)	PUNCT
ejpam-4662	226	99	−r	−r	ADJ
ejpam-4662	226	100	r	r	NOUN
ejpam-4662	226	101	arg	arg	NOUN
ejpam-4662	226	102	sinh	sinh	NOUN
ejpam-4662	226	103	(	(	PUNCT
ejpam-4662	226	104	log	log	PROPN
ejpam-4662	226	105	(	(	PUNCT
ejpam-4662	226	106	k	k	PROPN
ejpam-4662	226	107	u−1	u−1	PROPN
ejpam-4662	226	108	/	/	SYM
ejpam-4662	226	109	r−1	r−1	PROPN
ejpam-4662	226	110	)	)	PUNCT
ejpam-4662	226	111	)	)	PUNCT
ejpam-4662	227	1	vii	vii	PROPN
ejpam-4662	227	2	2−r	2−r	PROPN
ejpam-4662	227	3	(	(	PUNCT
ejpam-4662	227	4	1	1	NUM
ejpam-4662	227	5	+	+	CCONJ
ejpam-4662	227	6	tanhx	tanhx	ADJ
ejpam-4662	227	7	)	)	PUNCT
ejpam-4662	227	8	r	r	NOUN
ejpam-4662	227	9	r	r	NOUN
ejpam-4662	227	10	arg	arg	NOUN
ejpam-4662	227	11	tanh	tanh	NOUN
ejpam-4662	227	12	(	(	PUNCT
ejpam-4662	227	13	2u1	2u1	NUM
ejpam-4662	227	14	/	/	SYM
ejpam-4662	227	15	r	r	NOUN
ejpam-4662	227	16	−	−	NOUN
ejpam-4662	227	17	1	1	NUM
ejpam-4662	227	18	)	)	PUNCT
ejpam-4662	227	19	viii	viii	NOUN
ejpam-4662	227	20	(	(	PUNCT
ejpam-4662	227	21	2	2	NUM
ejpam-4662	227	22	π	π	PROPN
ejpam-4662	227	23	arctan(ex	arctan(ex	NOUN
ejpam-4662	227	24	)	)	PUNCT
ejpam-4662	227	25	)	)	PUNCT
ejpam-4662	227	26	r	r	NOUN
ejpam-4662	227	27	r	r	NOUN
ejpam-4662	227	28	log	log	NOUN
ejpam-4662	227	29	(	(	PUNCT
ejpam-4662	227	30	tan	tan	PROPN
ejpam-4662	227	31	(	(	PUNCT
ejpam-4662	227	32	π	π	PROPN
ejpam-4662	227	33	2u	2u	ADJ
ejpam-4662	227	34	1	1	NUM
ejpam-4662	227	35	/	/	SYM
ejpam-4662	227	36	r	r	NOUN
ejpam-4662	227	37	)	)	PUNCT
ejpam-4662	227	38	)	)	PUNCT
ejpam-4662	228	1	ix	ix	ADP
ejpam-4662	228	2	1−	1−	NUM
ejpam-4662	228	3	(	(	PUNCT
ejpam-4662	228	4	2	2	NUM
ejpam-4662	228	5	2+k((1+ex)r−1	2+k((1+ex)r−1	NUM
ejpam-4662	228	6	)	)	PUNCT
ejpam-4662	228	7	)	)	PUNCT
ejpam-4662	229	1	r	r	NOUN
ejpam-4662	229	2	log	log	NOUN
ejpam-4662	229	3	(	(	PUNCT
ejpam-4662	229	4	(	(	PUNCT
ejpam-4662	229	5	1	1	NUM
ejpam-4662	229	6	+	+	CCONJ
ejpam-4662	229	7	k−1	k−1	PROPN
ejpam-4662	229	8	(	(	PUNCT
ejpam-4662	229	9	1+u	1+u	NUM
ejpam-4662	229	10	1−u	1−u	NUM
ejpam-4662	229	11	)	)	PUNCT
ejpam-4662	229	12	)	)	PUNCT
ejpam-4662	229	13	1	1	NUM
ejpam-4662	229	14	/	/	SYM
ejpam-4662	229	15	r	r	NOUN
ejpam-4662	229	16	−	−	NOUN
ejpam-4662	229	17	1	1	NUM
ejpam-4662	229	18	)	)	PUNCT
ejpam-4662	229	19	x	x	PUNCT
ejpam-4662	229	20	(	(	PUNCT
ejpam-4662	229	21	1	1	NUM
ejpam-4662	229	22	+	+	NUM
ejpam-4662	229	23	e−x2	e−x2	NOUN
ejpam-4662	229	24	)	)	PUNCT
ejpam-4662	229	25	−r	−r	ADJ
ejpam-4662	229	26	r+	r+	PRON
ejpam-4662	229	27	(	(	PUNCT
ejpam-4662	229	28	log	log	NOUN
ejpam-4662	229	29	(	(	PUNCT
ejpam-4662	229	30	1	1	NUM
ejpam-4662	229	31	u−1	u−1	PROPN
ejpam-4662	229	32	/	/	SYM
ejpam-4662	229	33	r−1	r−1	PROPN
ejpam-4662	229	34	)	)	PUNCT
ejpam-4662	229	35	)	)	PUNCT
ejpam-4662	229	36	1/2	1/2	NUM
ejpam-4662	229	37	xi	xi	PROPN
ejpam-4662	229	38	(	(	PUNCT
ejpam-4662	229	39	x−	x−	PROPN
ejpam-4662	229	40	1	1	NUM
ejpam-4662	229	41	2π	2π	PROPN
ejpam-4662	229	42	sin(2πx	sin(2πx	NUM
ejpam-4662	229	43	)	)	PUNCT
ejpam-4662	229	44	)	)	PUNCT
ejpam-4662	230	1	r	r	NOUN
ejpam-4662	230	2	(	(	PUNCT
ejpam-4662	230	3	0	0	NUM
ejpam-4662	230	4	,	,	PUNCT
ejpam-4662	230	5	1	1	X
ejpam-4662	230	6	)	)	PUNCT
ejpam-4662	230	7	non	non	NOUN
ejpam-4662	230	8	explicit	explicit	ADJ
ejpam-4662	230	9	xii	xii	NOUN
ejpam-4662	230	10	1−	1−	NUM
ejpam-4662	230	11	(	(	PUNCT
ejpam-4662	230	12	1	1	NUM
ejpam-4662	230	13	+	+	NUM
ejpam-4662	230	14	xc	xc	NOUN
ejpam-4662	230	15	)	)	PUNCT
ejpam-4662	230	16	−r	−r	PROPN
ejpam-4662	230	17	r+	r+	X
ejpam-4662	230	18	(	(	PUNCT
ejpam-4662	230	19	(	(	PUNCT
ejpam-4662	230	20	1−	1−	NUM
ejpam-4662	230	21	u	u	NOUN
ejpam-4662	230	22	)	)	PUNCT
ejpam-4662	230	23	−1	−1	NOUN
ejpam-4662	230	24	/	/	SYM
ejpam-4662	230	25	r	r	NOUN
ejpam-4662	230	26	−	−	NOUN
ejpam-4662	230	27	1	1	NUM
ejpam-4662	230	28	)	)	PUNCT
ejpam-4662	230	29	1	1	NUM
ejpam-4662	230	30	/	/	SYM
ejpam-4662	230	31	c	c	PROPN
ejpam-4662	230	32	xa	xa	PROPN
ejpam-4662	230	33	(	(	PUNCT
ejpam-4662	230	34	1−	1−	NUM
ejpam-4662	230	35	e−x2	e−x2	NOUN
ejpam-4662	230	36	)	)	PUNCT
ejpam-4662	231	1	r	r	NOUN
ejpam-4662	231	2	r+	r+	PUNCT
ejpam-4662	231	3	(	(	PUNCT
ejpam-4662	231	4	log	log	NOUN
ejpam-4662	231	5	(	(	PUNCT
ejpam-4662	231	6	1	1	NUM
ejpam-4662	231	7	1−u1	1−u1	NUM
ejpam-4662	231	8	/	/	SYM
ejpam-4662	231	9	r	r	NOUN
ejpam-4662	231	10	)	)	PUNCT
ejpam-4662	231	11	)	)	PUNCT
ejpam-4662	231	12	1/2	1/2	NUM
ejpam-4662	231	13	table	table	NOUN
ejpam-4662	231	14	1	1	NUM
ejpam-4662	231	15	:	:	PUNCT
ejpam-4662	231	16	burr	burr	PROPN
ejpam-4662	231	17	’s	’s	PART
ejpam-4662	231	18	distributions	distribution	NOUN
ejpam-4662	231	19	s.	s.	PROPN
ejpam-4662	231	20	dembele	dembele	PROPN
ejpam-4662	231	21	et	et	PROPN
ejpam-4662	231	22	al	al	PROPN
ejpam-4662	231	23	.	.	PUNCT
ejpam-4662	231	24	/	/	SYM
ejpam-4662	231	25	eur	eur	PROPN
ejpam-4662	231	26	.	.	PUNCT
ejpam-4662	232	1	j.	j.	PROPN
ejpam-4662	232	2	pure	pure	PROPN
ejpam-4662	232	3	appl	appl	PROPN
ejpam-4662	232	4	.	.	PROPN
ejpam-4662	232	5	math	math	PROPN
ejpam-4662	232	6	,	,	PUNCT
ejpam-4662	232	7	16	16	NUM
ejpam-4662	232	8	(	(	PUNCT
ejpam-4662	232	9	1	1	NUM
ejpam-4662	232	10	)	)	PUNCT
ejpam-4662	232	11	(	(	PUNCT
ejpam-4662	232	12	2023	2023	NUM
ejpam-4662	232	13	)	)	PUNCT
ejpam-4662	232	14	,	,	PUNCT
ejpam-4662	232	15	609	609	NUM
ejpam-4662	232	16	-	-	SYM
ejpam-4662	232	17	656	656	NUM
ejpam-4662	232	18	621	621	NUM
ejpam-4662	232	19	quantile	quantile	ADJ
ejpam-4662	232	20	functions	function	NOUN
ejpam-4662	232	21	.	.	PUNCT
ejpam-4662	233	1	statistical	statistical	ADJ
ejpam-4662	233	2	tests	test	NOUN
ejpam-4662	233	3	are	be	AUX
ejpam-4662	233	4	derived	derive	VERB
ejpam-4662	233	5	from	from	ADP
ejpam-4662	233	6	these	these	DET
ejpam-4662	233	7	results	result	NOUN
ejpam-4662	233	8	.	.	PUNCT
ejpam-4662	234	1	simulations	simulation	NOUN
ejpam-4662	234	2	are	be	AUX
ejpam-4662	234	3	given	give	VERB
ejpam-4662	234	4	to	to	PART
ejpam-4662	234	5	back	back	VERB
ejpam-4662	234	6	the	the	DET
ejpam-4662	234	7	results	result	NOUN
ejpam-4662	234	8	.	.	PUNCT
ejpam-4662	235	1	but	but	CCONJ
ejpam-4662	235	2	adaptive	adaptive	ADJ
ejpam-4662	235	3	tests	test	NOUN
ejpam-4662	235	4	will	will	AUX
ejpam-4662	235	5	not	not	PART
ejpam-4662	235	6	be	be	AUX
ejpam-4662	235	7	considered	consider	VERB
ejpam-4662	235	8	here	here	ADV
ejpam-4662	235	9	.	.	PUNCT
ejpam-4662	236	1	they	they	PRON
ejpam-4662	236	2	will	will	AUX
ejpam-4662	236	3	be	be	AUX
ejpam-4662	236	4	the	the	DET
ejpam-4662	236	5	object	object	NOUN
ejpam-4662	236	6	of	of	ADP
ejpam-4662	236	7	an	an	DET
ejpam-4662	236	8	applied	apply	VERB
ejpam-4662	236	9	statistics	statistic	NOUN
ejpam-4662	236	10	paper	paper	NOUN
ejpam-4662	236	11	.	.	PUNCT
ejpam-4662	237	1	the	the	DET
ejpam-4662	237	2	rest	rest	NOUN
ejpam-4662	237	3	of	of	ADP
ejpam-4662	237	4	the	the	DET
ejpam-4662	237	5	paper	paper	NOUN
ejpam-4662	237	6	is	be	AUX
ejpam-4662	237	7	organized	organize	VERB
ejpam-4662	237	8	as	as	SCONJ
ejpam-4662	237	9	follows	follow	VERB
ejpam-4662	237	10	.	.	PUNCT
ejpam-4662	238	1	in	in	ADP
ejpam-4662	238	2	section	section	NOUN
ejpam-4662	238	3	2	2	NUM
ejpam-4662	238	4	,	,	PUNCT
ejpam-4662	238	5	we	we	PRON
ejpam-4662	238	6	expose	expose	VERB
ejpam-4662	238	7	the	the	DET
ejpam-4662	238	8	second	second	ADJ
ejpam-4662	238	9	order	order	NOUN
ejpam-4662	238	10	expansions	expansion	NOUN
ejpam-4662	238	11	of	of	ADP
ejpam-4662	238	12	their	their	PRON
ejpam-4662	238	13	quantile	quantile	ADJ
ejpam-4662	238	14	functions	function	NOUN
ejpam-4662	238	15	of	of	ADP
ejpam-4662	238	16	cdf	cdf	PROPN
ejpam-4662	238	17	’s	’s	X
ejpam-4662	238	18	in	in	ADP
ejpam-4662	238	19	the	the	DET
ejpam-4662	238	20	burr	burr	NOUN
ejpam-4662	238	21	family	family	NOUN
ejpam-4662	238	22	the	the	DET
ejpam-4662	238	23	extremal	extremal	ADJ
ejpam-4662	238	24	domains	domain	NOUN
ejpam-4662	238	25	of	of	ADP
ejpam-4662	238	26	attraction	attraction	NOUN
ejpam-4662	238	27	and	and	CCONJ
ejpam-4662	238	28	the	the	DET
ejpam-4662	238	29	asymptotic	asymptotic	ADJ
ejpam-4662	238	30	law	law	NOUN
ejpam-4662	238	31	of	of	ADP
ejpam-4662	238	32	their	their	PRON
ejpam-4662	238	33	record	record	NOUN
ejpam-4662	238	34	values	value	NOUN
ejpam-4662	238	35	.	.	PUNCT
ejpam-4662	239	1	in	in	ADP
ejpam-4662	239	2	section	section	NOUN
ejpam-4662	239	3	3	3	NUM
ejpam-4662	239	4	,	,	PUNCT
ejpam-4662	239	5	we	we	PRON
ejpam-4662	239	6	proceed	proceed	VERB
ejpam-4662	239	7	to	to	ADP
ejpam-4662	239	8	a	a	DET
ejpam-4662	239	9	simulation	simulation	NOUN
ejpam-4662	239	10	study	study	NOUN
ejpam-4662	239	11	.	.	PUNCT
ejpam-4662	240	1	the	the	DET
ejpam-4662	240	2	very	very	ADV
ejpam-4662	240	3	technical	technical	ADJ
ejpam-4662	240	4	part	part	NOUN
ejpam-4662	240	5	on	on	ADP
ejpam-4662	240	6	the	the	DET
ejpam-4662	240	7	second	second	ADJ
ejpam-4662	240	8	order	order	NOUN
ejpam-4662	240	9	expansions	expansion	NOUN
ejpam-4662	240	10	of	of	ADP
ejpam-4662	240	11	quantile	quantile	ADJ
ejpam-4662	240	12	functions	function	NOUN
ejpam-4662	240	13	in	in	ADP
ejpam-4662	240	14	given	give	VERB
ejpam-4662	240	15	in	in	ADP
ejpam-4662	240	16	section	section	NOUN
ejpam-4662	240	17	4	4	NUM
ejpam-4662	240	18	.	.	PUNCT
ejpam-4662	241	1	a	a	DET
ejpam-4662	241	2	conclusion	conclusion	NOUN
ejpam-4662	241	3	part	part	NOUN
ejpam-4662	241	4	(	(	PUNCT
ejpam-4662	241	5	section	section	NOUN
ejpam-4662	241	6	5	5	NUM
ejpam-4662	241	7	)	)	PUNCT
ejpam-4662	241	8	finishes	finish	VERB
ejpam-4662	241	9	the	the	DET
ejpam-4662	241	10	paper	paper	NOUN
ejpam-4662	241	11	.	.	PUNCT
ejpam-4662	242	1	2	2	X
ejpam-4662	242	2	.	.	X
ejpam-4662	242	3	our	our	PRON
ejpam-4662	242	4	main	main	ADJ
ejpam-4662	242	5	results	result	NOUN
ejpam-4662	242	6	for	for	ADP
ejpam-4662	242	7	each	each	DET
ejpam-4662	242	8	cdf	cdf	PROPN
ejpam-4662	242	9	element	element	NOUN
ejpam-4662	242	10	of	of	ADP
ejpam-4662	242	11	the	the	DET
ejpam-4662	242	12	burr	burr	NOUN
ejpam-4662	242	13	family	family	NOUN
ejpam-4662	242	14	,	,	PUNCT
ejpam-4662	242	15	we	we	PRON
ejpam-4662	242	16	give	give	VERB
ejpam-4662	242	17	the	the	DET
ejpam-4662	242	18	expansion	expansion	NOUN
ejpam-4662	242	19	of	of	ADP
ejpam-4662	242	20	the	the	DET
ejpam-4662	242	21	quantile	quantile	ADJ
ejpam-4662	242	22	function	function	NOUN
ejpam-4662	242	23	,	,	PUNCT
ejpam-4662	242	24	determine	determine	VERB
ejpam-4662	242	25	the	the	DET
ejpam-4662	242	26	extreme	extreme	ADJ
ejpam-4662	242	27	value	value	NOUN
ejpam-4662	242	28	domain	domain	NOUN
ejpam-4662	242	29	d(gγ	d(gγ	PROPN
ejpam-4662	242	30	)	)	PUNCT
ejpam-4662	242	31	and	and	CCONJ
ejpam-4662	242	32	next	next	ADV
ejpam-4662	242	33	apply	apply	VERB
ejpam-4662	242	34	theorems	theorem	NOUN
ejpam-4662	242	35	1	1	NUM
ejpam-4662	242	36	,	,	PUNCT
ejpam-4662	242	37	2	2	NUM
ejpam-4662	242	38	and	and	CCONJ
ejpam-4662	242	39	3	3	NUM
ejpam-4662	242	40	in	in	ADP
ejpam-4662	242	41	[	[	X
ejpam-4662	242	42	15	15	NUM
ejpam-4662	242	43	]	]	PUNCT
ejpam-4662	242	44	to	to	PART
ejpam-4662	242	45	find	find	VERB
ejpam-4662	242	46	the	the	DET
ejpam-4662	242	47	asymptotic	asymptotic	ADJ
ejpam-4662	242	48	law	law	NOUN
ejpam-4662	242	49	of	of	ADP
ejpam-4662	242	50	the	the	DET
ejpam-4662	242	51	record	record	NOUN
ejpam-4662	242	52	values	value	NOUN
ejpam-4662	242	53	.	.	PUNCT
ejpam-4662	243	1	however	however	ADV
ejpam-4662	243	2	,	,	PUNCT
ejpam-4662	243	3	we	we	PRON
ejpam-4662	243	4	need	need	VERB
ejpam-4662	243	5	to	to	PART
ejpam-4662	243	6	complete	complete	VERB
ejpam-4662	243	7	their	their	PRON
ejpam-4662	243	8	theorem	theorem	ADJ
ejpam-4662	243	9	3	3	NUM
ejpam-4662	243	10	by	by	ADP
ejpam-4662	243	11	theorem	theorem	NOUN
ejpam-4662	243	12	4	4	NUM
ejpam-4662	243	13	below	below	ADV
ejpam-4662	243	14	.	.	PUNCT
ejpam-4662	244	1	theorem	theorem	ADJ
ejpam-4662	244	2	4	4	NUM
ejpam-4662	244	3	.	.	PUNCT
ejpam-4662	244	4	suppose	suppose	VERB
ejpam-4662	244	5	that	that	SCONJ
ejpam-4662	244	6	γ	γ	PROPN
ejpam-4662	244	7	=	=	SYM
ejpam-4662	244	8	0	0	PROPN
ejpam-4662	244	9	and	and	CCONJ
ejpam-4662	244	10	r(x	r(x	PROPN
ejpam-4662	244	11	,	,	PUNCT
ejpam-4662	244	12	g	g	NOUN
ejpam-4662	244	13	)	)	PUNCT
ejpam-4662	244	14	→	→	SYM
ejpam-4662	244	15	0	0	PUNCT
ejpam-4662	244	16	as	as	ADP
ejpam-4662	244	17	x	x	X
ejpam-4662	244	18	→	→	SYM
ejpam-4662	244	19	uep(g	uep(g	NOUN
ejpam-4662	244	20	)	)	PUNCT
ejpam-4662	244	21	.	.	PUNCT
ejpam-4662	245	1	suppose	suppose	VERB
ejpam-4662	245	2	that	that	SCONJ
ejpam-4662	245	3	(	(	PUNCT
ejpam-4662	245	4	ha	ha	INTJ
ejpam-4662	245	5	)	)	PUNCT
ejpam-4662	245	6	holds	hold	NOUN
ejpam-4662	245	7	.	.	PUNCT
ejpam-4662	246	1	if	if	SCONJ
ejpam-4662	246	2	sup	sup	NOUN
ejpam-4662	246	3	{	{	PUNCT
ejpam-4662	246	4	∣∣∣∣s(u)s(v	∣∣∣∣s(u)s(v	NOUN
ejpam-4662	246	5	)	)	PUNCT
ejpam-4662	246	6	−	−	PROPN
ejpam-4662	246	7	1	1	NUM
ejpam-4662	246	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4662	246	9	,	,	PUNCT
ejpam-4662	246	10	min(vn	min(vn	PROPN
ejpam-4662	246	11	,	,	PUNCT
ejpam-4662	246	12	vn	vn	NOUN
ejpam-4662	246	13	)	)	PUNCT
ejpam-4662	246	14	≤	≤	NOUN
ejpam-4662	246	15	u	u	NOUN
ejpam-4662	246	16	,	,	PUNCT
ejpam-4662	246	17	v	v	ADJ
ejpam-4662	246	18	≤	≤	NUM
ejpam-4662	246	19	max(vn	max(vn	NOUN
ejpam-4662	246	20	,	,	PUNCT
ejpam-4662	246	21	vn	vn	PROPN
ejpam-4662	246	22	)	)	PUNCT
ejpam-4662	246	23	}	}	PUNCT
ejpam-4662	246	24	=	=	SYM
ejpam-4662	246	25	op(dn	op(dn	PROPN
ejpam-4662	246	26	)	)	PUNCT
ejpam-4662	246	27	,	,	PUNCT
ejpam-4662	246	28	then	then	ADV
ejpam-4662	246	29	we	we	PRON
ejpam-4662	246	30	have	have	VERB
ejpam-4662	246	31	x(n	x(n	NOUN
ejpam-4662	246	32	)	)	PUNCT
ejpam-4662	247	1	−	−	PROPN
ejpam-4662	247	2	f−1(1−	f−1(1−	PROPN
ejpam-4662	247	3	e−n	e−n	PROPN
ejpam-4662	247	4	)	)	PUNCT
ejpam-4662	247	5	s(vn	s(vn	PROPN
ejpam-4662	247	6	)	)	PUNCT
ejpam-4662	247	7	√	√	PROPN
ejpam-4662	248	1	n	n	NOUN
ejpam-4662	248	2	=	=	PRON
ejpam-4662	248	3	s∗	s∗	PROPN
ejpam-4662	248	4	n	n	PROPN
ejpam-4662	248	5	+	+	NOUN
ejpam-4662	248	6	op	op	NOUN
ejpam-4662	248	7	(	(	PUNCT
ejpam-4662	248	8	dn	dn	NOUN
ejpam-4662	248	9	)	)	PUNCT
ejpam-4662	248	10	=	=	SYM
ejpam-4662	248	11	w	w	NOUN
ejpam-4662	248	12	∗	∗	NOUN
ejpam-4662	248	13	n	n	PRON
ejpam-4662	248	14	+	+	ADJ
ejpam-4662	248	15	op(cn	op(cn	PROPN
ejpam-4662	248	16	∨	∨	NUM
ejpam-4662	248	17	dn	dn	PROPN
ejpam-4662	248	18	)	)	PUNCT
ejpam-4662	248	19	.	.	PUNCT
ejpam-4662	249	1	proof	proof	NOUN
ejpam-4662	249	2	.	.	PUNCT
ejpam-4662	250	1	in	in	ADP
ejpam-4662	250	2	the	the	DET
ejpam-4662	250	3	proof	proof	NOUN
ejpam-4662	250	4	of	of	ADP
ejpam-4662	250	5	theorem	theorem	NOUN
ejpam-4662	250	6	3	3	NUM
ejpam-4662	250	7	in	in	ADP
ejpam-4662	250	8	[	[	X
ejpam-4662	250	9	15	15	NUM
ejpam-4662	250	10	]	]	PUNCT
ejpam-4662	250	11	,	,	PUNCT
ejpam-4662	250	12	in	in	ADP
ejpam-4662	250	13	formula	formula	NOUN
ejpam-4662	250	14	(	(	PUNCT
ejpam-4662	250	15	25	25	NUM
ejpam-4662	250	16	)	)	PUNCT
ejpam-4662	250	17	,	,	PUNCT
ejpam-4662	250	18	we	we	PRON
ejpam-4662	250	19	have	have	VERB
ejpam-4662	250	20	x(n	x(n	NOUN
ejpam-4662	250	21	)	)	PUNCT
ejpam-4662	250	22	−	−	PROPN
ejpam-4662	250	23	f−1(1−	f−1(1−	PROPN
ejpam-4662	250	24	e−n	e−n	PROPN
ejpam-4662	250	25	)	)	PUNCT
ejpam-4662	250	26	=	=	NOUN
ejpam-4662	250	27	s(vn)−	s(vn)−	NOUN
ejpam-4662	250	28	s(vn	s(vn	PROPN
ejpam-4662	250	29	)	)	PUNCT
ejpam-4662	251	1	+	+	NUM
ejpam-4662	251	2	∫	∫	PROPN
ejpam-4662	251	3	vn	vn	PROPN
ejpam-4662	251	4	vn	vn	PROPN
ejpam-4662	251	5	s(u	s(u	PROPN
ejpam-4662	251	6	)	)	PUNCT
ejpam-4662	251	7	u	u	NOUN
ejpam-4662	251	8	du	du	NOUN
ejpam-4662	251	9	=	=	SYM
ejpam-4662	251	10	s(vn	s(vn	PROPN
ejpam-4662	251	11	)	)	PUNCT
ejpam-4662	251	12	(	(	PUNCT
ejpam-4662	251	13	s(vn	s(vn	PROPN
ejpam-4662	251	14	)	)	PUNCT
ejpam-4662	251	15	s(vn	s(vn	PROPN
ejpam-4662	251	16	)	)	PUNCT
ejpam-4662	251	17	−	−	PROPN
ejpam-4662	251	18	1	1	NUM
ejpam-4662	251	19	)	)	PUNCT
ejpam-4662	252	1	+	+	CCONJ
ejpam-4662	252	2	s(vn)(sn	s(vn)(sn	PROPN
ejpam-4662	252	3	−	−	ADP
ejpam-4662	252	4	n)(1	n)(1	NOUN
ejpam-4662	252	5	+	+	PROPN
ejpam-4662	252	6	op(dn	op(dn	PROPN
ejpam-4662	252	7	)	)	PUNCT
ejpam-4662	252	8	)	)	PUNCT
ejpam-4662	252	9	.	.	PUNCT
ejpam-4662	253	1	hence	hence	ADV
ejpam-4662	253	2	x(n	x(n	NOUN
ejpam-4662	253	3	)	)	PUNCT
ejpam-4662	253	4	−	−	PROPN
ejpam-4662	253	5	f−1(1−	f−1(1−	PROPN
ejpam-4662	253	6	e−n	e−n	PROPN
ejpam-4662	253	7	)	)	PUNCT
ejpam-4662	253	8	s(vn	s(vn	PROPN
ejpam-4662	253	9	)	)	PUNCT
ejpam-4662	253	10	√	√	PROPN
ejpam-4662	253	11	n	n	NOUN
ejpam-4662	253	12	=	=	SYM
ejpam-4662	253	13	1	1	NUM
ejpam-4662	253	14	n1/2	n1/2	NOUN
ejpam-4662	253	15	(	(	PUNCT
ejpam-4662	253	16	s(vn	s(vn	PROPN
ejpam-4662	253	17	)	)	PUNCT
ejpam-4662	253	18	s(vn	s(vn	PROPN
ejpam-4662	253	19	)	)	PUNCT
ejpam-4662	253	20	−	−	PROPN
ejpam-4662	253	21	1	1	NUM
ejpam-4662	253	22	)	)	PUNCT
ejpam-4662	253	23	+	+	CCONJ
ejpam-4662	253	24	(	(	PUNCT
ejpam-4662	253	25	1	1	NUM
ejpam-4662	253	26	+	+	ADJ
ejpam-4662	253	27	op(dn	op(dn	PROPN
ejpam-4662	253	28	)	)	PUNCT
ejpam-4662	253	29	)	)	PUNCT
ejpam-4662	253	30	s	s	PART
ejpam-4662	253	31	∗	∗	NOUN
ejpam-4662	253	32	n	n	CCONJ
ejpam-4662	253	33	s.	s.	PROPN
ejpam-4662	253	34	dembele	dembele	PROPN
ejpam-4662	253	35	et	et	PROPN
ejpam-4662	253	36	al	al	PROPN
ejpam-4662	253	37	.	.	PUNCT
ejpam-4662	253	38	/	/	SYM
ejpam-4662	253	39	eur	eur	PROPN
ejpam-4662	253	40	.	.	PUNCT
ejpam-4662	254	1	j.	j.	PROPN
ejpam-4662	254	2	pure	pure	PROPN
ejpam-4662	254	3	appl	appl	PROPN
ejpam-4662	254	4	.	.	PROPN
ejpam-4662	254	5	math	math	PROPN
ejpam-4662	254	6	,	,	PUNCT
ejpam-4662	254	7	16	16	NUM
ejpam-4662	254	8	(	(	PUNCT
ejpam-4662	254	9	1	1	NUM
ejpam-4662	254	10	)	)	PUNCT
ejpam-4662	254	11	(	(	PUNCT
ejpam-4662	254	12	2023	2023	NUM
ejpam-4662	254	13	)	)	PUNCT
ejpam-4662	254	14	,	,	PUNCT
ejpam-4662	254	15	609	609	NUM
ejpam-4662	254	16	-	-	SYM
ejpam-4662	254	17	656	656	NUM
ejpam-4662	254	18	622	622	NUM
ejpam-4662	254	19	=	=	NOUN
ejpam-4662	254	20	s∗	s∗	PROPN
ejpam-4662	254	21	n	n	PROPN
ejpam-4662	254	22	+	+	CCONJ
ejpam-4662	254	23	op(dn	op(dn	PROPN
ejpam-4662	254	24	)	)	PUNCT
ejpam-4662	254	25	n1/2	n1/2	NOUN
ejpam-4662	255	1	+	+	CCONJ
ejpam-4662	255	2	s∗	s∗	PROPN
ejpam-4662	255	3	nop(dn	nop(dn	PROPN
ejpam-4662	255	4	)	)	PUNCT
ejpam-4662	255	5	=	=	X
ejpam-4662	255	6	s∗	s∗	PROPN
ejpam-4662	255	7	n	n	PROPN
ejpam-4662	255	8	+	+	PROPN
ejpam-4662	255	9	op(dn	op(dn	PROPN
ejpam-4662	255	10	)	)	PUNCT
ejpam-4662	255	11	.	.	PUNCT
ejpam-4662	256	1	so	so	ADV
ejpam-4662	256	2	the	the	DET
ejpam-4662	256	3	conclusion	conclusion	NOUN
ejpam-4662	256	4	x(n	x(n	NOUN
ejpam-4662	256	5	)	)	PUNCT
ejpam-4662	256	6	−	−	PROPN
ejpam-4662	257	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	257	2	e−n)√	e−n)√	PROPN
ejpam-4662	257	3	ns(vn	ns(vn	PROPN
ejpam-4662	257	4	)	)	PUNCT
ejpam-4662	258	1	=	=	PUNCT
ejpam-4662	258	2	s∗	s∗	PROPN
ejpam-4662	258	3	n	n	PROPN
ejpam-4662	258	4	+	+	NOUN
ejpam-4662	258	5	op	op	NOUN
ejpam-4662	258	6	(	(	PUNCT
ejpam-4662	258	7	dn	dn	NOUN
ejpam-4662	258	8	)	)	PUNCT
ejpam-4662	258	9	=	=	SYM
ejpam-4662	258	10	w	w	NOUN
ejpam-4662	258	11	∗	∗	NOUN
ejpam-4662	258	12	n	n	PRON
ejpam-4662	258	13	+	+	ADJ
ejpam-4662	258	14	op(cn	op(cn	PROPN
ejpam-4662	258	15	∨	∨	NUM
ejpam-4662	258	16	dn	dn	PROPN
ejpam-4662	258	17	)	)	PUNCT
ejpam-4662	258	18	,	,	PUNCT
ejpam-4662	258	19	is	be	AUX
ejpam-4662	258	20	straightforward	straightforward	ADJ
ejpam-4662	258	21	.	.	PUNCT
ejpam-4662	259	1	of	of	ADV
ejpam-4662	259	2	course	course	ADV
ejpam-4662	259	3	if	if	SCONJ
ejpam-4662	259	4	n1/2s(vn	n1/2s(vn	NOUN
ejpam-4662	259	5	)	)	PUNCT
ejpam-4662	259	6	→	→	PUNCT
ejpam-4662	259	7	α	α	X
ejpam-4662	259	8	>	>	X
ejpam-4662	259	9	0	0	NUM
ejpam-4662	259	10	,	,	PUNCT
ejpam-4662	259	11	we	we	PRON
ejpam-4662	259	12	get	get	VERB
ejpam-4662	259	13	the	the	DET
ejpam-4662	259	14	result	result	NOUN
ejpam-4662	259	15	of	of	ADP
ejpam-4662	259	16	theorem	theorem	NOUN
ejpam-4662	259	17	2	2	NUM
ejpam-4662	259	18	again	again	ADV
ejpam-4662	259	19	.	.	PUNCT
ejpam-4662	260	1	■	■	PUNCT
ejpam-4662	260	2	now	now	ADV
ejpam-4662	260	3	,	,	PUNCT
ejpam-4662	260	4	let	let	VERB
ejpam-4662	260	5	us	we	PRON
ejpam-4662	260	6	state	state	VERB
ejpam-4662	260	7	the	the	DET
ejpam-4662	260	8	asymptotic	asymptotic	ADJ
ejpam-4662	260	9	laws	law	NOUN
ejpam-4662	260	10	of	of	ADP
ejpam-4662	260	11	record	record	NOUN
ejpam-4662	260	12	values	value	NOUN
ejpam-4662	260	13	for	for	ADP
ejpam-4662	260	14	all	all	DET
ejpam-4662	260	15	members	member	NOUN
ejpam-4662	260	16	of	of	ADP
ejpam-4662	260	17	the	the	DET
ejpam-4662	260	18	burr	burr	NOUN
ejpam-4662	260	19	family	family	NOUN
ejpam-4662	260	20	and	and	CCONJ
ejpam-4662	260	21	the	the	DET
ejpam-4662	260	22	distribution	distribution	NOUN
ejpam-4662	260	23	(	(	PUNCT
ejpam-4662	260	24	xa	xa	PROPN
ejpam-4662	260	25	)	)	PUNCT
ejpam-4662	260	26	in	in	ADP
ejpam-4662	260	27	the	the	DET
ejpam-4662	260	28	theorem	theorem	NOUN
ejpam-4662	260	29	below	below	ADV
ejpam-4662	260	30	.	.	PUNCT
ejpam-4662	261	1	all	all	DET
ejpam-4662	261	2	the	the	DET
ejpam-4662	261	3	proofs	proof	NOUN
ejpam-4662	261	4	of	of	ADP
ejpam-4662	261	5	the	the	DET
ejpam-4662	261	6	quantile	quantile	ADJ
ejpam-4662	261	7	function	function	NOUN
ejpam-4662	261	8	of	of	ADP
ejpam-4662	261	9	second	second	ADJ
ejpam-4662	261	10	order	order	NOUN
ejpam-4662	261	11	expansions	expansion	NOUN
ejpam-4662	261	12	are	be	AUX
ejpam-4662	261	13	given	give	VERB
ejpam-4662	261	14	in	in	ADP
ejpam-4662	261	15	section	section	NOUN
ejpam-4662	261	16	4	4	NUM
ejpam-4662	261	17	.	.	PUNCT
ejpam-4662	262	1	for	for	ADP
ejpam-4662	262	2	every	every	DET
ejpam-4662	262	3	asymptotic	asymptotic	ADJ
ejpam-4662	262	4	law	law	NOUN
ejpam-4662	262	5	of	of	ADP
ejpam-4662	262	6	record	record	NOUN
ejpam-4662	262	7	values	value	NOUN
ejpam-4662	262	8	,	,	PUNCT
ejpam-4662	262	9	we	we	PRON
ejpam-4662	262	10	precise	precise	VERB
ejpam-4662	262	11	the	the	DET
ejpam-4662	262	12	arguments	argument	NOUN
ejpam-4662	262	13	(	(	PUNCT
ejpam-4662	262	14	from	from	ADP
ejpam-4662	262	15	theorems	theorems	PROPN
ejpam-4662	262	16	1	1	NUM
ejpam-4662	262	17	and/or	and/or	CCONJ
ejpam-4662	262	18	3	3	NUM
ejpam-4662	262	19	,	,	PUNCT
ejpam-4662	262	20	and/or	and/or	CCONJ
ejpam-4662	262	21	4	4	NUM
ejpam-4662	262	22	)	)	PUNCT
ejpam-4662	262	23	to	to	PART
ejpam-4662	262	24	be	be	AUX
ejpam-4662	262	25	applied	apply	VERB
ejpam-4662	262	26	.	.	PUNCT
ejpam-4662	263	1	we	we	PRON
ejpam-4662	263	2	do	do	AUX
ejpam-4662	263	3	not	not	PART
ejpam-4662	263	4	need	need	VERB
ejpam-4662	263	5	to	to	PART
ejpam-4662	263	6	give	give	VERB
ejpam-4662	263	7	the	the	DET
ejpam-4662	263	8	detailed	detailed	ADJ
ejpam-4662	263	9	proof	proof	NOUN
ejpam-4662	263	10	of	of	ADP
ejpam-4662	263	11	all	all	PRON
ejpam-4662	263	12	of	of	ADP
ejpam-4662	263	13	them	they	PRON
ejpam-4662	263	14	.	.	PUNCT
ejpam-4662	264	1	however	however	ADV
ejpam-4662	264	2	,	,	PUNCT
ejpam-4662	264	3	after	after	ADP
ejpam-4662	264	4	the	the	DET
ejpam-4662	264	5	statement	statement	NOUN
ejpam-4662	264	6	of	of	ADP
ejpam-4662	264	7	all	all	DET
ejpam-4662	264	8	the	the	DET
ejpam-4662	264	9	results	result	NOUN
ejpam-4662	264	10	,	,	PUNCT
ejpam-4662	264	11	for	for	ADP
ejpam-4662	264	12	each	each	DET
ejpam-4662	264	13	argument	argument	NOUN
ejpam-4662	264	14	in	in	ADP
ejpam-4662	264	15	theorems	theorem	NOUN
ejpam-4662	264	16	1	1	NUM
ejpam-4662	264	17	and/or	and/or	CCONJ
ejpam-4662	264	18	3	3	NUM
ejpam-4662	264	19	,	,	PUNCT
ejpam-4662	264	20	and/or	and/or	CCONJ
ejpam-4662	264	21	4	4	NUM
ejpam-4662	264	22	,	,	PUNCT
ejpam-4662	264	23	we	we	PRON
ejpam-4662	264	24	will	will	AUX
ejpam-4662	264	25	give	give	VERB
ejpam-4662	264	26	the	the	DET
ejpam-4662	264	27	proof	proof	NOUN
ejpam-4662	264	28	of	of	ADP
ejpam-4662	264	29	a	a	DET
ejpam-4662	264	30	case	case	NOUN
ejpam-4662	264	31	on	on	ADP
ejpam-4662	264	32	which	which	PRON
ejpam-4662	264	33	it	it	PRON
ejpam-4662	264	34	is	be	AUX
ejpam-4662	264	35	applied	apply	VERB
ejpam-4662	264	36	.	.	PUNCT
ejpam-4662	265	1	theorem	theorem	NOUN
ejpam-4662	265	2	5	5	NUM
ejpam-4662	265	3	.	.	PUNCT
ejpam-4662	266	1	let	let	VERB
ejpam-4662	266	2	x	x	PRON
ejpam-4662	266	3	follows	follow	VERB
ejpam-4662	266	4	b(t	b(t	PROPN
ejpam-4662	266	5	,	,	PUNCT
ejpam-4662	266	6	a	a	DET
ejpam-4662	266	7	,	,	PUNCT
ejpam-4662	266	8	b	b	NOUN
ejpam-4662	266	9	,	,	PUNCT
ejpam-4662	266	10	c	c	NOUN
ejpam-4662	266	11	)	)	PUNCT
ejpam-4662	266	12	with	with	ADP
ejpam-4662	266	13	cdf	cdf	PROPN
ejpam-4662	266	14	f	f	PROPN
ejpam-4662	266	15	.	.	PUNCT
ejpam-4662	267	1	we	we	PRON
ejpam-4662	267	2	have	have	VERB
ejpam-4662	267	3	the	the	DET
ejpam-4662	267	4	following	follow	VERB
ejpam-4662	267	5	results	result	NOUN
ejpam-4662	267	6	for	for	ADP
ejpam-4662	267	7	the	the	DET
ejpam-4662	267	8	distribution	distribution	NOUN
ejpam-4662	267	9	in	in	ADP
ejpam-4662	267	10	the	the	DET
ejpam-4662	267	11	table	table	NOUN
ejpam-4662	267	12	1	1	NUM
ejpam-4662	267	13	.	.	PUNCT
ejpam-4662	267	14	burr	burr	PROPN
ejpam-4662	267	15	i.	i.	PROPN
ejpam-4662	267	16	(	(	PUNCT
ejpam-4662	267	17	i	i	NOUN
ejpam-4662	267	18	)	)	PUNCT
ejpam-4662	267	19	the	the	DET
ejpam-4662	267	20	quantile	quantile	ADJ
ejpam-4662	267	21	function	function	NOUN
ejpam-4662	267	22	is	be	AUX
ejpam-4662	267	23	expanded	expand	VERB
ejpam-4662	267	24	as	as	SCONJ
ejpam-4662	267	25	follows	follow	VERB
ejpam-4662	267	26	.	.	PUNCT
ejpam-4662	268	1	uep(f	uep(f	PROPN
ejpam-4662	268	2	)	)	PUNCT
ejpam-4662	269	1	−	−	PROPN
ejpam-4662	269	2	f−1(1−	f−1(1−	PROPN
ejpam-4662	269	3	u	u	PROPN
ejpam-4662	269	4	)	)	PUNCT
ejpam-4662	270	1	=	=	PUNCT
ejpam-4662	270	2	u.	u.	NOUN
ejpam-4662	270	3	(	(	PUNCT
ejpam-4662	270	4	15	15	NUM
ejpam-4662	270	5	)	)	PUNCT
ejpam-4662	270	6	(	(	PUNCT
ejpam-4662	270	7	ii	ii	NOUN
ejpam-4662	270	8	)	)	PUNCT
ejpam-4662	270	9	f	f	PROPN
ejpam-4662	270	10	∈	∈	PROPN
ejpam-4662	270	11	d(gγ	d(gγ	PROPN
ejpam-4662	270	12	)	)	PUNCT
ejpam-4662	270	13	,	,	PUNCT
ejpam-4662	270	14	γ	γ	X
ejpam-4662	270	15	=	=	SYM
ejpam-4662	270	16	−1	−1	NOUN
ejpam-4662	270	17	,	,	PUNCT
ejpam-4662	270	18	uep(f	uep(f	PROPN
ejpam-4662	270	19	)	)	PUNCT
ejpam-4662	270	20	=	=	PUNCT
ejpam-4662	271	1	1	1	X
ejpam-4662	271	2	.	.	PUNCT
ejpam-4662	271	3	(	(	PUNCT
ejpam-4662	271	4	iii	iii	X
ejpam-4662	271	5	)	)	PUNCT
ejpam-4662	271	6	the	the	DET
ejpam-4662	271	7	asymptotic	asymptotic	ADJ
ejpam-4662	271	8	law	law	NOUN
ejpam-4662	271	9	of	of	ADP
ejpam-4662	271	10	the	the	DET
ejpam-4662	271	11	record	record	NOUN
ejpam-4662	271	12	values	value	NOUN
ejpam-4662	271	13	x(n	x(n	NOUN
ejpam-4662	271	14	)	)	PUNCT
ejpam-4662	271	15	,	,	PUNCT
ejpam-4662	271	16	n	n	PRON
ejpam-4662	271	17	≥	≥	NOUN
ejpam-4662	271	18	1	1	NUM
ejpam-4662	271	19	,	,	PUNCT
ejpam-4662	271	20	is	be	AUX
ejpam-4662	271	21	given	give	VERB
ejpam-4662	271	22	as	as	SCONJ
ejpam-4662	271	23	follows	follow	VERB
ejpam-4662	271	24	.	.	PUNCT
ejpam-4662	272	1	(	(	PUNCT
ejpam-4662	272	2	en(1−x(n	en(1−x(n	PROPN
ejpam-4662	272	3	)	)	PUNCT
ejpam-4662	272	4	)	)	PUNCT
ejpam-4662	272	5	)	)	PUNCT
ejpam-4662	273	1	n−1/2	n−1/2	PROPN
ejpam-4662	273	2	=	=	SYM
ejpam-4662	273	3	exp(−s∗	exp(−s∗	PROPN
ejpam-4662	273	4	n	n	CCONJ
ejpam-4662	273	5	)	)	PUNCT
ejpam-4662	273	6	=	=	SYM
ejpam-4662	274	1	exp(−w	exp(−w	PROPN
ejpam-4662	274	2	∗	∗	NOUN
ejpam-4662	274	3	n	n	CCONJ
ejpam-4662	274	4	)	)	PUNCT
ejpam-4662	275	1	+	+	NOUN
ejpam-4662	275	2	op(cn	op(cn	NOUN
ejpam-4662	275	3	)	)	PUNCT
ejpam-4662	275	4	→	→	SYM
ejpam-4662	275	5	exp(n	exp(n	PROPN
ejpam-4662	275	6	(	(	PUNCT
ejpam-4662	275	7	0	0	NUM
ejpam-4662	275	8	,	,	PUNCT
ejpam-4662	275	9	1	1	NUM
ejpam-4662	275	10	)	)	PUNCT
ejpam-4662	275	11	)	)	PUNCT
ejpam-4662	275	12	.	.	PUNCT
ejpam-4662	276	1	(	(	PUNCT
ejpam-4662	276	2	16	16	X
ejpam-4662	276	3	)	)	PUNCT
ejpam-4662	276	4	burr	burr	PROPN
ejpam-4662	276	5	ii	ii	PROPN
ejpam-4662	276	6	.	.	PUNCT
ejpam-4662	277	1	s.	s.	PROPN
ejpam-4662	277	2	dembele	dembele	PROPN
ejpam-4662	277	3	et	et	PROPN
ejpam-4662	277	4	al	al	PROPN
ejpam-4662	277	5	.	.	PUNCT
ejpam-4662	277	6	/	/	SYM
ejpam-4662	277	7	eur	eur	PROPN
ejpam-4662	277	8	.	.	PUNCT
ejpam-4662	278	1	j.	j.	PROPN
ejpam-4662	278	2	pure	pure	PROPN
ejpam-4662	278	3	appl	appl	PROPN
ejpam-4662	278	4	.	.	PROPN
ejpam-4662	278	5	math	math	PROPN
ejpam-4662	278	6	,	,	PUNCT
ejpam-4662	278	7	16	16	NUM
ejpam-4662	278	8	(	(	PUNCT
ejpam-4662	278	9	1	1	NUM
ejpam-4662	278	10	)	)	PUNCT
ejpam-4662	278	11	(	(	PUNCT
ejpam-4662	278	12	2023	2023	NUM
ejpam-4662	278	13	)	)	PUNCT
ejpam-4662	278	14	,	,	PUNCT
ejpam-4662	278	15	609	609	NUM
ejpam-4662	278	16	-	-	SYM
ejpam-4662	278	17	656	656	NUM
ejpam-4662	278	18	623	623	NUM
ejpam-4662	278	19	(	(	PUNCT
ejpam-4662	278	20	i	i	NOUN
ejpam-4662	278	21	)	)	PUNCT
ejpam-4662	278	22	the	the	DET
ejpam-4662	278	23	quantile	quantile	ADJ
ejpam-4662	278	24	function	function	NOUN
ejpam-4662	278	25	is	be	AUX
ejpam-4662	278	26	expanded	expand	VERB
ejpam-4662	278	27	as	as	SCONJ
ejpam-4662	278	28	follows	follow	VERB
ejpam-4662	278	29	.	.	PUNCT
ejpam-4662	279	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	279	2	u	u	NOUN
ejpam-4662	279	3	)	)	PUNCT
ejpam-4662	279	4	=	=	PUNCT
ejpam-4662	280	1	log	log	NOUN
ejpam-4662	280	2	r	r	NOUN
ejpam-4662	280	3	+	+	NOUN
ejpam-4662	280	4	log(1	log(1	NOUN
ejpam-4662	280	5	/	/	PUNCT
ejpam-4662	281	1	u)−	u)−	PROPN
ejpam-4662	281	2	r	r	NOUN
ejpam-4662	281	3	+	+	NUM
ejpam-4662	281	4	1	1	NUM
ejpam-4662	281	5	2r	2r	NUM
ejpam-4662	281	6	u+o(u2	u+o(u2	PROPN
ejpam-4662	281	7	)	)	PUNCT
ejpam-4662	281	8	.	.	PUNCT
ejpam-4662	282	1	(	(	PUNCT
ejpam-4662	282	2	17	17	NUM
ejpam-4662	282	3	)	)	PUNCT
ejpam-4662	282	4	(	(	PUNCT
ejpam-4662	282	5	ii	ii	NOUN
ejpam-4662	282	6	)	)	PUNCT
ejpam-4662	282	7	here	here	ADV
ejpam-4662	282	8	z	z	X
ejpam-4662	282	9	=	=	SYM
ejpam-4662	282	10	exp(x	exp(x	PROPN
ejpam-4662	282	11	)	)	PUNCT
ejpam-4662	282	12	∈	∈	PROPN
ejpam-4662	282	13	d(gγ	d(gγ	PROPN
ejpam-4662	282	14	)	)	PUNCT
ejpam-4662	282	15	,	,	PUNCT
ejpam-4662	282	16	γ	γ	NOUN
ejpam-4662	282	17	=	=	SYM
ejpam-4662	282	18	1	1	NUM
ejpam-4662	282	19	,	,	PUNCT
ejpam-4662	282	20	i.e.	i.e.	X
ejpam-4662	282	21	,	,	PUNCT
ejpam-4662	282	22	x	x	SYM
ejpam-4662	282	23	=	=	PUNCT
ejpam-4662	283	1	logz	logz	X
ejpam-4662	283	2	and	and	CCONJ
ejpam-4662	283	3	uep(f	uep(f	PROPN
ejpam-4662	283	4	)	)	PUNCT
ejpam-4662	284	1	=	=	PUNCT
ejpam-4662	285	1	+	+	NUM
ejpam-4662	285	2	∞.	∞.	PROPN
ejpam-4662	285	3	(	(	PUNCT
ejpam-4662	285	4	iii	iii	NOUN
ejpam-4662	285	5	)	)	PUNCT
ejpam-4662	285	6	the	the	DET
ejpam-4662	285	7	asymptotic	asymptotic	ADJ
ejpam-4662	285	8	law	law	NOUN
ejpam-4662	285	9	of	of	ADP
ejpam-4662	285	10	the	the	DET
ejpam-4662	285	11	record	record	NOUN
ejpam-4662	285	12	values	value	NOUN
ejpam-4662	285	13	x(n	x(n	NOUN
ejpam-4662	285	14	)	)	PUNCT
ejpam-4662	285	15	,	,	PUNCT
ejpam-4662	285	16	n	n	PRON
ejpam-4662	285	17	≥	≥	NOUN
ejpam-4662	285	18	1	1	NUM
ejpam-4662	285	19	,	,	PUNCT
ejpam-4662	285	20	is	be	AUX
ejpam-4662	285	21	given	give	VERB
ejpam-4662	285	22	as	as	SCONJ
ejpam-4662	285	23	follows	follow	VERB
ejpam-4662	285	24	.	.	PUNCT
ejpam-4662	286	1	x(n	x(n	NOUN
ejpam-4662	286	2	)	)	PUNCT
ejpam-4662	287	1	−	−	ADP
ejpam-4662	287	2	n√	n√	SYM
ejpam-4662	287	3	n	n	NOUN
ejpam-4662	287	4	=	=	PRON
ejpam-4662	287	5	s∗	s∗	PROPN
ejpam-4662	287	6	n	n	PROPN
ejpam-4662	287	7	+	+	NOUN
ejpam-4662	287	8	op(dn(η	op(dn(η	NOUN
ejpam-4662	287	9	)	)	PUNCT
ejpam-4662	287	10	)	)	PUNCT
ejpam-4662	288	1	=	=	PUNCT
ejpam-4662	289	1	w	w	NOUN
ejpam-4662	289	2	∗	∗	NOUN
ejpam-4662	289	3	n	n	X
ejpam-4662	289	4	+	+	NOUN
ejpam-4662	289	5	op(dn(η	op(dn(η	NOUN
ejpam-4662	289	6	)	)	PUNCT
ejpam-4662	289	7	∨	∨	NUM
ejpam-4662	289	8	cn	cn	PROPN
ejpam-4662	289	9	)	)	PUNCT
ejpam-4662	289	10	→	→	SYM
ejpam-4662	289	11	n	n	CCONJ
ejpam-4662	289	12	(	(	PUNCT
ejpam-4662	289	13	0	0	NUM
ejpam-4662	289	14	,	,	PUNCT
ejpam-4662	289	15	1	1	NUM
ejpam-4662	289	16	)	)	PUNCT
ejpam-4662	289	17	.	.	PUNCT
ejpam-4662	290	1	(	(	PUNCT
ejpam-4662	290	2	18	18	NUM
ejpam-4662	290	3	)	)	PUNCT
ejpam-4662	290	4	burr	burr	PROPN
ejpam-4662	290	5	iii	iii	PROPN
ejpam-4662	290	6	.	.	PUNCT
ejpam-4662	291	1	(	(	PUNCT
ejpam-4662	291	2	i	i	NOUN
ejpam-4662	291	3	)	)	PUNCT
ejpam-4662	291	4	the	the	DET
ejpam-4662	291	5	quantile	quantile	ADJ
ejpam-4662	291	6	function	function	NOUN
ejpam-4662	291	7	is	be	AUX
ejpam-4662	291	8	expanded	expand	VERB
ejpam-4662	291	9	as	as	SCONJ
ejpam-4662	291	10	follows	follow	VERB
ejpam-4662	291	11	.	.	PUNCT
ejpam-4662	292	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	292	2	u	u	PROPN
ejpam-4662	292	3	)	)	PUNCT
ejpam-4662	292	4	=	=	SYM
ejpam-4662	292	5	r1	r1	PROPN
ejpam-4662	292	6	/	/	SYM
ejpam-4662	292	7	ku−1	ku−1	PROPN
ejpam-4662	292	8	/	/	SYM
ejpam-4662	292	9	k	k	PROPN
ejpam-4662	292	10	(	(	PUNCT
ejpam-4662	292	11	1−	1−	NUM
ejpam-4662	292	12	r	r	NOUN
ejpam-4662	292	13	+	+	NOUN
ejpam-4662	292	14	1	1	NUM
ejpam-4662	292	15	2kr	2kr	NOUN
ejpam-4662	292	16	u+o(u2	u+o(u2	PROPN
ejpam-4662	292	17	)	)	PUNCT
ejpam-4662	292	18	)	)	PUNCT
ejpam-4662	292	19	.	.	PUNCT
ejpam-4662	293	1	(	(	PUNCT
ejpam-4662	293	2	19	19	NUM
ejpam-4662	293	3	)	)	PUNCT
ejpam-4662	293	4	(	(	PUNCT
ejpam-4662	293	5	ii	ii	NOUN
ejpam-4662	293	6	)	)	PUNCT
ejpam-4662	293	7	f	f	PROPN
ejpam-4662	293	8	∈	∈	PROPN
ejpam-4662	293	9	d(gγ	d(gγ	PROPN
ejpam-4662	293	10	)	)	PUNCT
ejpam-4662	293	11	,	,	PUNCT
ejpam-4662	293	12	γ	γ	NOUN
ejpam-4662	293	13	=	=	SYM
ejpam-4662	293	14	1	1	NUM
ejpam-4662	293	15	/	/	SYM
ejpam-4662	293	16	k	k	NOUN
ejpam-4662	293	17	,	,	PUNCT
ejpam-4662	293	18	uep(f	uep(f	PROPN
ejpam-4662	293	19	)	)	PUNCT
ejpam-4662	294	1	=	=	PUNCT
ejpam-4662	295	1	+	+	NUM
ejpam-4662	295	2	∞.	∞.	PROPN
ejpam-4662	295	3	(	(	PUNCT
ejpam-4662	295	4	iii	iii	NOUN
ejpam-4662	295	5	)	)	PUNCT
ejpam-4662	295	6	the	the	DET
ejpam-4662	295	7	asymptotic	asymptotic	ADJ
ejpam-4662	295	8	law	law	NOUN
ejpam-4662	295	9	of	of	ADP
ejpam-4662	295	10	the	the	DET
ejpam-4662	295	11	record	record	NOUN
ejpam-4662	295	12	values	value	NOUN
ejpam-4662	295	13	x(n	x(n	NOUN
ejpam-4662	295	14	)	)	PUNCT
ejpam-4662	295	15	,	,	PUNCT
ejpam-4662	295	16	n	n	PRON
ejpam-4662	295	17	≥	≥	NOUN
ejpam-4662	295	18	1	1	NUM
ejpam-4662	295	19	,	,	PUNCT
ejpam-4662	295	20	is	be	AUX
ejpam-4662	295	21	given	give	VERB
ejpam-4662	295	22	as	as	SCONJ
ejpam-4662	295	23	follows	follow	VERB
ejpam-4662	295	24	.	.	PUNCT
ejpam-4662	296	1	(	(	PUNCT
ejpam-4662	296	2	x(n	x(n	NOUN
ejpam-4662	296	3	)	)	PUNCT
ejpam-4662	296	4	r1	r1	PROPN
ejpam-4662	296	5	/	/	SYM
ejpam-4662	296	6	k	k	PROPN
ejpam-4662	296	7	exp(n	exp(n	PROPN
ejpam-4662	296	8	/	/	SYM
ejpam-4662	296	9	k	k	NOUN
ejpam-4662	296	10	)	)	PUNCT
ejpam-4662	296	11	)	)	PUNCT
ejpam-4662	297	1	n−1/2	n−1/2	PROPN
ejpam-4662	297	2	=	=	SYM
ejpam-4662	297	3	exp	exp	NOUN
ejpam-4662	297	4	(	(	PUNCT
ejpam-4662	297	5	1	1	NUM
ejpam-4662	297	6	k	k	NOUN
ejpam-4662	297	7	s∗	s∗	PROPN
ejpam-4662	297	8	n	n	CCONJ
ejpam-4662	297	9	)	)	PUNCT
ejpam-4662	298	1	+	+	ADJ
ejpam-4662	298	2	op(an	op(an	PROPN
ejpam-4662	298	3	∨	∨	NUM
ejpam-4662	298	4	bn	bn	NOUN
ejpam-4662	298	5	)	)	PUNCT
ejpam-4662	298	6	=	=	SYM
ejpam-4662	298	7	exp	exp	NOUN
ejpam-4662	298	8	(	(	PUNCT
ejpam-4662	298	9	1	1	NUM
ejpam-4662	298	10	k	k	NOUN
ejpam-4662	298	11	w	w	PROPN
ejpam-4662	298	12	∗	∗	X
ejpam-4662	298	13	n	n	CCONJ
ejpam-4662	298	14	)	)	PUNCT
ejpam-4662	299	1	+	+	ADJ
ejpam-4662	299	2	op(an	op(an	PROPN
ejpam-4662	299	3	∨	∨	NUM
ejpam-4662	299	4	bn	bn	NOUN
ejpam-4662	299	5	∨	∨	NUM
ejpam-4662	299	6	cn	cn	PROPN
ejpam-4662	299	7	)	)	PUNCT
ejpam-4662	299	8	→	→	SYM
ejpam-4662	299	9	exp(n	exp(n	PROPN
ejpam-4662	299	10	(	(	PUNCT
ejpam-4662	299	11	0	0	NUM
ejpam-4662	299	12	,	,	PUNCT
ejpam-4662	299	13	k−2	k−2	PROPN
ejpam-4662	299	14	)	)	PUNCT
ejpam-4662	299	15	)	)	PUNCT
ejpam-4662	299	16	.	.	PUNCT
ejpam-4662	300	1	(	(	PUNCT
ejpam-4662	300	2	20	20	NUM
ejpam-4662	300	3	)	)	PUNCT
ejpam-4662	300	4	burr	burr	NOUN
ejpam-4662	300	5	iv	iv	NUM
ejpam-4662	300	6	.	.	PUNCT
ejpam-4662	301	1	(	(	PUNCT
ejpam-4662	301	2	i	i	NOUN
ejpam-4662	301	3	)	)	PUNCT
ejpam-4662	301	4	the	the	DET
ejpam-4662	301	5	quantile	quantile	ADJ
ejpam-4662	301	6	function	function	NOUN
ejpam-4662	301	7	is	be	AUX
ejpam-4662	301	8	expanded	expand	VERB
ejpam-4662	301	9	as	as	SCONJ
ejpam-4662	301	10	follows	follow	VERB
ejpam-4662	301	11	.	.	PUNCT
ejpam-4662	302	1	c−	c−	PROPN
ejpam-4662	302	2	f−1(1−	f−1(1−	PROPN
ejpam-4662	302	3	u	u	NOUN
ejpam-4662	302	4	)	)	PUNCT
ejpam-4662	302	5	=	=	PUNCT
ejpam-4662	302	6	cr−cuc	cr−cuc	NOUN
ejpam-4662	302	7	(	(	PUNCT
ejpam-4662	302	8	1	1	NUM
ejpam-4662	302	9	+	+	NUM
ejpam-4662	302	10	c(r	c(r	NOUN
ejpam-4662	302	11	+	+	CCONJ
ejpam-4662	302	12	1	1	X
ejpam-4662	302	13	)	)	PUNCT
ejpam-4662	302	14	2r	2r	NUM
ejpam-4662	302	15	u+o	u+o	NUM
ejpam-4662	302	16	(	(	PUNCT
ejpam-4662	302	17	u2	u2	PROPN
ejpam-4662	302	18	)	)	PUNCT
ejpam-4662	302	19	)	)	PUNCT
ejpam-4662	302	20	.	.	PUNCT
ejpam-4662	303	1	(	(	PUNCT
ejpam-4662	303	2	21	21	NUM
ejpam-4662	303	3	)	)	PUNCT
ejpam-4662	303	4	s.	s.	PROPN
ejpam-4662	303	5	dembele	dembele	PROPN
ejpam-4662	303	6	et	et	PROPN
ejpam-4662	303	7	al	al	PROPN
ejpam-4662	303	8	.	.	PUNCT
ejpam-4662	303	9	/	/	SYM
ejpam-4662	303	10	eur	eur	PROPN
ejpam-4662	303	11	.	.	PUNCT
ejpam-4662	304	1	j.	j.	PROPN
ejpam-4662	304	2	pure	pure	PROPN
ejpam-4662	304	3	appl	appl	PROPN
ejpam-4662	304	4	.	.	PROPN
ejpam-4662	304	5	math	math	PROPN
ejpam-4662	304	6	,	,	PUNCT
ejpam-4662	304	7	16	16	NUM
ejpam-4662	304	8	(	(	PUNCT
ejpam-4662	304	9	1	1	NUM
ejpam-4662	304	10	)	)	PUNCT
ejpam-4662	304	11	(	(	PUNCT
ejpam-4662	304	12	2023	2023	NUM
ejpam-4662	304	13	)	)	PUNCT
ejpam-4662	304	14	,	,	PUNCT
ejpam-4662	304	15	609	609	NUM
ejpam-4662	304	16	-	-	SYM
ejpam-4662	304	17	656	656	NUM
ejpam-4662	304	18	624	624	NUM
ejpam-4662	304	19	(	(	PUNCT
ejpam-4662	304	20	ii	ii	NOUN
ejpam-4662	304	21	)	)	PUNCT
ejpam-4662	304	22	f	f	PROPN
ejpam-4662	304	23	∈	∈	PROPN
ejpam-4662	304	24	d(gγ	d(gγ	PROPN
ejpam-4662	304	25	)	)	PUNCT
ejpam-4662	304	26	,	,	PUNCT
ejpam-4662	304	27	γ	γ	NOUN
ejpam-4662	304	28	=	=	SYM
ejpam-4662	304	29	−c	−c	NOUN
ejpam-4662	304	30	,	,	PUNCT
ejpam-4662	304	31	uep(f	uep(f	PROPN
ejpam-4662	304	32	)	)	PUNCT
ejpam-4662	305	1	=	=	SYM
ejpam-4662	305	2	c.	c.	PROPN
ejpam-4662	305	3	(	(	PUNCT
ejpam-4662	305	4	iii	iii	NOUN
ejpam-4662	305	5	)	)	PUNCT
ejpam-4662	305	6	the	the	DET
ejpam-4662	305	7	asymptotic	asymptotic	ADJ
ejpam-4662	305	8	law	law	NOUN
ejpam-4662	305	9	of	of	ADP
ejpam-4662	305	10	the	the	DET
ejpam-4662	305	11	records	record	NOUN
ejpam-4662	305	12	value	value	NOUN
ejpam-4662	305	13	x(n	x(n	NOUN
ejpam-4662	305	14	)	)	PUNCT
ejpam-4662	305	15	,	,	PUNCT
ejpam-4662	305	16	n	n	PRON
ejpam-4662	305	17	≥	≥	NOUN
ejpam-4662	305	18	1	1	NUM
ejpam-4662	305	19	,	,	PUNCT
ejpam-4662	305	20	is	be	AUX
ejpam-4662	305	21	given	give	VERB
ejpam-4662	305	22	as	as	SCONJ
ejpam-4662	305	23	follows	follow	VERB
ejpam-4662	305	24	.	.	PUNCT
ejpam-4662	306	1	(	(	PUNCT
ejpam-4662	306	2	rcecn	rcecn	NOUN
ejpam-4662	306	3	c	c	X
ejpam-4662	306	4	(	(	PUNCT
ejpam-4662	306	5	c−x(n	c−x(n	NOUN
ejpam-4662	306	6	)	)	PUNCT
ejpam-4662	306	7	)	)	PUNCT
ejpam-4662	306	8	)	)	PUNCT
ejpam-4662	307	1	n−1/2	n−1/2	PROPN
ejpam-4662	307	2	=	=	SYM
ejpam-4662	307	3	exp(−cs∗	exp(−cs∗	PROPN
ejpam-4662	307	4	n	n	CCONJ
ejpam-4662	307	5	)	)	PUNCT
ejpam-4662	308	1	+	+	ADJ
ejpam-4662	308	2	op(an	op(an	ADJ
ejpam-4662	308	3	∨	∨	NUM
ejpam-4662	308	4	bn	bn	NOUN
ejpam-4662	308	5	)	)	PUNCT
ejpam-4662	308	6	=	=	PUNCT
ejpam-4662	308	7	exp(−cw	exp(−cw	ADJ
ejpam-4662	308	8	∗	∗	NOUN
ejpam-4662	308	9	n	n	CCONJ
ejpam-4662	308	10	)	)	PUNCT
ejpam-4662	309	1	+	+	ADJ
ejpam-4662	309	2	op(an	op(an	PROPN
ejpam-4662	309	3	∨	∨	NUM
ejpam-4662	309	4	bn	bn	NOUN
ejpam-4662	309	5	∨	∨	NUM
ejpam-4662	309	6	cn	cn	PROPN
ejpam-4662	309	7	)	)	PUNCT
ejpam-4662	309	8	→	→	SYM
ejpam-4662	309	9	exp(n	exp(n	PROPN
ejpam-4662	309	10	(	(	PUNCT
ejpam-4662	309	11	0	0	NUM
ejpam-4662	309	12	,	,	PUNCT
ejpam-4662	309	13	c2	c2	PROPN
ejpam-4662	309	14	)	)	PUNCT
ejpam-4662	309	15	)	)	PUNCT
ejpam-4662	309	16	.	.	PUNCT
ejpam-4662	310	1	(	(	PUNCT
ejpam-4662	310	2	22	22	NUM
ejpam-4662	310	3	)	)	PUNCT
ejpam-4662	310	4	burr	burr	NOUN
ejpam-4662	310	5	v.	v.	ADP
ejpam-4662	310	6	(	(	PUNCT
ejpam-4662	310	7	i	i	NOUN
ejpam-4662	310	8	)	)	PUNCT
ejpam-4662	310	9	the	the	DET
ejpam-4662	310	10	quantile	quantile	ADJ
ejpam-4662	310	11	function	function	NOUN
ejpam-4662	310	12	is	be	AUX
ejpam-4662	310	13	expanded	expand	VERB
ejpam-4662	310	14	as	as	SCONJ
ejpam-4662	310	15	follows	follow	VERB
ejpam-4662	310	16	.	.	PUNCT
ejpam-4662	311	1	π	π	NOUN
ejpam-4662	311	2	2	2	X
ejpam-4662	311	3	−	−	PROPN
ejpam-4662	311	4	f−1(1−	f−1(1−	PROPN
ejpam-4662	311	5	u	u	PROPN
ejpam-4662	311	6	)	)	PUNCT
ejpam-4662	311	7	=	=	SYM
ejpam-4662	311	8	(	(	PUNCT
ejpam-4662	311	9	log	log	PROPN
ejpam-4662	311	10	(	(	PUNCT
ejpam-4662	311	11	kr	kr	PROPN
ejpam-4662	311	12	u	u	PROPN
ejpam-4662	311	13	)	)	PUNCT
ejpam-4662	311	14	)	)	PUNCT
ejpam-4662	311	15	−1	−1	NOUN
ejpam-4662	311	16	−	−	NOUN
ejpam-4662	311	17	1	1	NUM
ejpam-4662	311	18	2	2	NUM
ejpam-4662	311	19	(	(	PUNCT
ejpam-4662	311	20	log	log	NOUN
ejpam-4662	311	21	(	(	PUNCT
ejpam-4662	311	22	kr	kr	PROPN
ejpam-4662	311	23	u	u	PROPN
ejpam-4662	311	24	)	)	PUNCT
ejpam-4662	311	25	)	)	PUNCT
ejpam-4662	312	1	−3	−3	PROPN
ejpam-4662	313	1	+	+	NOUN
ejpam-4662	313	2	o	o	X
ejpam-4662	313	3	(	(	PUNCT
ejpam-4662	313	4	(	(	PUNCT
ejpam-4662	313	5	log(1	log(1	NOUN
ejpam-4662	313	6	/	/	SYM
ejpam-4662	313	7	u))−5	u))−5	PROPN
ejpam-4662	313	8	)	)	PUNCT
ejpam-4662	313	9	,	,	PUNCT
ejpam-4662	313	10	(	(	PUNCT
ejpam-4662	313	11	23	23	NUM
ejpam-4662	313	12	)	)	PUNCT
ejpam-4662	313	13	i.e.	i.e.	X
ejpam-4662	313	14	,	,	PUNCT
ejpam-4662	313	15	π	π	PROPN
ejpam-4662	313	16	2	2	NUM
ejpam-4662	313	17	−	−	ADP
ejpam-4662	313	18	f−1(1−	f−1(1−	PROPN
ejpam-4662	313	19	u	u	PROPN
ejpam-4662	313	20	)	)	PUNCT
ejpam-4662	313	21	=	=	SYM
ejpam-4662	313	22	(	(	PUNCT
ejpam-4662	313	23	log	log	PROPN
ejpam-4662	313	24	(	(	PUNCT
ejpam-4662	313	25	kr	kr	PROPN
ejpam-4662	313	26	u	u	PROPN
ejpam-4662	313	27	)	)	PUNCT
ejpam-4662	313	28	)	)	PUNCT
ejpam-4662	313	29	−1	−1	NOUN
ejpam-4662	313	30	(	(	PUNCT
ejpam-4662	313	31	1−	1−	NUM
ejpam-4662	313	32	1	1	NUM
ejpam-4662	313	33	2	2	NUM
ejpam-4662	313	34	(	(	PUNCT
ejpam-4662	313	35	log	log	NOUN
ejpam-4662	313	36	(	(	PUNCT
ejpam-4662	313	37	kr	kr	PROPN
ejpam-4662	313	38	u	u	PROPN
ejpam-4662	313	39	)	)	PUNCT
ejpam-4662	313	40	)	)	PUNCT
ejpam-4662	313	41	−2	−2	NOUN
ejpam-4662	314	1	+	+	NOUN
ejpam-4662	314	2	o	o	X
ejpam-4662	314	3	(	(	PUNCT
ejpam-4662	314	4	(	(	PUNCT
ejpam-4662	314	5	log(1	log(1	NOUN
ejpam-4662	314	6	/	/	SYM
ejpam-4662	314	7	u))−4	u))−4	PROPN
ejpam-4662	314	8	)	)	PUNCT
ejpam-4662	314	9	)	)	PUNCT
ejpam-4662	314	10	.	.	PUNCT
ejpam-4662	315	1	(	(	PUNCT
ejpam-4662	315	2	24	24	NUM
ejpam-4662	315	3	)	)	PUNCT
ejpam-4662	315	4	(	(	PUNCT
ejpam-4662	315	5	ii	ii	NOUN
ejpam-4662	315	6	)	)	PUNCT
ejpam-4662	315	7	f	f	PROPN
ejpam-4662	315	8	∈	∈	PROPN
ejpam-4662	315	9	d(gγ	d(gγ	PROPN
ejpam-4662	315	10	)	)	PUNCT
ejpam-4662	315	11	,	,	PUNCT
ejpam-4662	315	12	γ	γ	X
ejpam-4662	315	13	=	=	SYM
ejpam-4662	315	14	0	0	PROPN
ejpam-4662	315	15	,	,	PUNCT
ejpam-4662	315	16	uep(f	uep(f	PROPN
ejpam-4662	315	17	)	)	PUNCT
ejpam-4662	315	18	=	=	SYM
ejpam-4662	316	1	π/2	π/2	NUM
ejpam-4662	316	2	.	.	PUNCT
ejpam-4662	317	1	(	(	PUNCT
ejpam-4662	317	2	iii	iii	X
ejpam-4662	317	3	)	)	PUNCT
ejpam-4662	317	4	the	the	DET
ejpam-4662	317	5	asymptotic	asymptotic	ADJ
ejpam-4662	317	6	law	law	NOUN
ejpam-4662	317	7	of	of	ADP
ejpam-4662	317	8	the	the	DET
ejpam-4662	317	9	record	record	NOUN
ejpam-4662	317	10	values	value	NOUN
ejpam-4662	317	11	x(n	x(n	NOUN
ejpam-4662	317	12	)	)	PUNCT
ejpam-4662	317	13	,	,	PUNCT
ejpam-4662	317	14	n	n	PRON
ejpam-4662	317	15	≥	≥	NOUN
ejpam-4662	317	16	1	1	NUM
ejpam-4662	317	17	,	,	PUNCT
ejpam-4662	317	18	is	be	AUX
ejpam-4662	317	19	given	give	VERB
ejpam-4662	317	20	as	as	SCONJ
ejpam-4662	317	21	follows	follow	VERB
ejpam-4662	317	22	.	.	PUNCT
ejpam-4662	318	1	√	√	NUM
ejpam-4662	319	1	n	n	CCONJ
ejpam-4662	319	2	(	(	PUNCT
ejpam-4662	319	3	log	log	PROPN
ejpam-4662	319	4	(	(	PUNCT
ejpam-4662	319	5	π	π	NOUN
ejpam-4662	319	6	2	2	NUM
ejpam-4662	319	7	−x(n	−x(n	NOUN
ejpam-4662	319	8	)	)	PUNCT
ejpam-4662	319	9	)	)	PUNCT
ejpam-4662	320	1	+	+	CCONJ
ejpam-4662	320	2	log	log	VERB
ejpam-4662	320	3	n	n	NOUN
ejpam-4662	320	4	)	)	PUNCT
ejpam-4662	321	1	=	=	SYM
ejpam-4662	321	2	−s∗	−s∗	PROPN
ejpam-4662	321	3	n	n	PROPN
ejpam-4662	321	4	+	+	NOUN
ejpam-4662	321	5	op(n	op(n	NOUN
ejpam-4662	321	6	−1/2	−1/2	ADJ
ejpam-4662	321	7	)	)	PUNCT
ejpam-4662	322	1	=	=	PUNCT
ejpam-4662	322	2	−w	−w	ADV
ejpam-4662	322	3	∗	∗	VERB
ejpam-4662	322	4	n	n	PRON
ejpam-4662	322	5	+	+	ADJ
ejpam-4662	322	6	op(cn	op(cn	NOUN
ejpam-4662	322	7	)	)	PUNCT
ejpam-4662	322	8	→	→	SYM
ejpam-4662	322	9	n	n	CCONJ
ejpam-4662	322	10	(	(	PUNCT
ejpam-4662	322	11	0	0	NUM
ejpam-4662	322	12	,	,	PUNCT
ejpam-4662	322	13	1	1	NUM
ejpam-4662	322	14	)	)	PUNCT
ejpam-4662	322	15	.	.	PUNCT
ejpam-4662	323	1	(	(	PUNCT
ejpam-4662	323	2	25	25	NUM
ejpam-4662	323	3	)	)	PUNCT
ejpam-4662	323	4	we	we	PRON
ejpam-4662	323	5	also	also	ADV
ejpam-4662	323	6	have	have	VERB
ejpam-4662	323	7	(	(	PUNCT
ejpam-4662	323	8	log	log	VERB
ejpam-4662	323	9	r	r	NOUN
ejpam-4662	323	10	+	+	NOUN
ejpam-4662	323	11	n)2	n)2	PROPN
ejpam-4662	323	12	(	(	PUNCT
ejpam-4662	323	13	x(n	x(n	PROPN
ejpam-4662	323	14	)	)	PUNCT
ejpam-4662	323	15	−	−	PROPN
ejpam-4662	323	16	arctan	arctan	PROPN
ejpam-4662	323	17	(	(	PUNCT
ejpam-4662	323	18	−	−	PROPN
ejpam-4662	323	19	log	log	NOUN
ejpam-4662	323	20	{	{	PUNCT
ejpam-4662	323	21	(	(	PUNCT
ejpam-4662	323	22	1−e−n)−1	1−e−n)−1	NUM
ejpam-4662	323	23	/	/	SYM
ejpam-4662	323	24	r−1	r−1	PROPN
ejpam-4662	323	25	k	k	PROPN
ejpam-4662	323	26	}	}	PUNCT
ejpam-4662	323	27	)	)	PUNCT
ejpam-4662	323	28	)	)	PUNCT
ejpam-4662	324	1	√	√	PROPN
ejpam-4662	325	1	n	n	NOUN
ejpam-4662	325	2	=	=	PRON
ejpam-4662	325	3	s∗	s∗	PROPN
ejpam-4662	325	4	n	n	PROPN
ejpam-4662	325	5	+	+	NOUN
ejpam-4662	325	6	op(n	op(n	NOUN
ejpam-4662	325	7	−1/2	−1/2	ADJ
ejpam-4662	325	8	)	)	PUNCT
ejpam-4662	326	1	=	=	SYM
ejpam-4662	327	1	w	w	NOUN
ejpam-4662	327	2	∗	∗	NOUN
ejpam-4662	327	3	n	n	X
ejpam-4662	327	4	+	+	NOUN
ejpam-4662	327	5	op(cn	op(cn	NOUN
ejpam-4662	327	6	)	)	PUNCT
ejpam-4662	327	7	→	→	SYM
ejpam-4662	327	8	n	n	CCONJ
ejpam-4662	327	9	(	(	PUNCT
ejpam-4662	327	10	0	0	NUM
ejpam-4662	327	11	,	,	PUNCT
ejpam-4662	327	12	1	1	NUM
ejpam-4662	327	13	)	)	PUNCT
ejpam-4662	327	14	.	.	PUNCT
ejpam-4662	328	1	(	(	PUNCT
ejpam-4662	328	2	valt	valt	NOUN
ejpam-4662	328	3	)	)	PUNCT
ejpam-4662	328	4	burr	burr	PROPN
ejpam-4662	328	5	vi	vi	PROPN
ejpam-4662	328	6	.	.	PUNCT
ejpam-4662	329	1	s.	s.	PROPN
ejpam-4662	329	2	dembele	dembele	PROPN
ejpam-4662	329	3	et	et	PROPN
ejpam-4662	329	4	al	al	PROPN
ejpam-4662	329	5	.	.	PUNCT
ejpam-4662	329	6	/	/	SYM
ejpam-4662	329	7	eur	eur	PROPN
ejpam-4662	329	8	.	.	PUNCT
ejpam-4662	330	1	j.	j.	PROPN
ejpam-4662	330	2	pure	pure	PROPN
ejpam-4662	330	3	appl	appl	PROPN
ejpam-4662	330	4	.	.	PROPN
ejpam-4662	330	5	math	math	PROPN
ejpam-4662	330	6	,	,	PUNCT
ejpam-4662	330	7	16	16	NUM
ejpam-4662	330	8	(	(	PUNCT
ejpam-4662	330	9	1	1	NUM
ejpam-4662	330	10	)	)	PUNCT
ejpam-4662	330	11	(	(	PUNCT
ejpam-4662	330	12	2023	2023	NUM
ejpam-4662	330	13	)	)	PUNCT
ejpam-4662	330	14	,	,	PUNCT
ejpam-4662	330	15	609	609	NUM
ejpam-4662	330	16	-	-	SYM
ejpam-4662	330	17	656	656	NUM
ejpam-4662	330	18	625	625	NUM
ejpam-4662	330	19	(	(	PUNCT
ejpam-4662	330	20	i	i	NOUN
ejpam-4662	330	21	)	)	PUNCT
ejpam-4662	330	22	the	the	DET
ejpam-4662	330	23	quantile	quantile	ADJ
ejpam-4662	330	24	function	function	NOUN
ejpam-4662	330	25	is	be	AUX
ejpam-4662	330	26	expanded	expand	VERB
ejpam-4662	330	27	as	as	SCONJ
ejpam-4662	330	28	follows	follow	VERB
ejpam-4662	330	29	.	.	PUNCT
ejpam-4662	331	1	f−1(1−u	f−1(1−u	NOUN
ejpam-4662	331	2	)	)	PUNCT
ejpam-4662	331	3	=	=	PRON
ejpam-4662	331	4	log	log	VERB
ejpam-4662	331	5	2+log	2+log	NUM
ejpam-4662	331	6	log	log	NOUN
ejpam-4662	331	7	kr+log	kr+log	PROPN
ejpam-4662	331	8	log	log	NOUN
ejpam-4662	331	9	(	(	PUNCT
ejpam-4662	331	10	1	1	NUM
ejpam-4662	331	11	/	/	SYM
ejpam-4662	331	12	u)+	u)+	PROPN
ejpam-4662	331	13	1	1	NUM
ejpam-4662	331	14	4	4	NUM
ejpam-4662	331	15	(	(	PUNCT
ejpam-4662	331	16	log	log	VERB
ejpam-4662	331	17	log	log	NOUN
ejpam-4662	331	18	kr	kr	PROPN
ejpam-4662	331	19	u	u	PROPN
ejpam-4662	331	20	)	)	PUNCT
ejpam-4662	331	21	−2	−2	PROPN
ejpam-4662	332	1	+	+	NOUN
ejpam-4662	332	2	o	o	X
ejpam-4662	332	3	(	(	PUNCT
ejpam-4662	332	4	log	log	PROPN
ejpam-4662	332	5	log	log	NOUN
ejpam-4662	332	6	(	(	PUNCT
ejpam-4662	332	7	1	1	NUM
ejpam-4662	332	8	/	/	SYM
ejpam-4662	332	9	u)−3	u)−3	ADJ
ejpam-4662	332	10	)	)	PUNCT
ejpam-4662	332	11	,	,	PUNCT
ejpam-4662	332	12	u	u	NOUN
ejpam-4662	332	13	<	<	X
ejpam-4662	332	14	1	1	NUM
ejpam-4662	332	15	e	e	NOUN
ejpam-4662	332	16	.	.	PUNCT
ejpam-4662	333	1	(	(	PUNCT
ejpam-4662	333	2	26	26	NUM
ejpam-4662	333	3	)	)	PUNCT
ejpam-4662	333	4	(	(	PUNCT
ejpam-4662	333	5	ii	ii	NOUN
ejpam-4662	333	6	)	)	PUNCT
ejpam-4662	333	7	f	f	PROPN
ejpam-4662	333	8	∈	∈	PROPN
ejpam-4662	333	9	d(gγ	d(gγ	PROPN
ejpam-4662	333	10	)	)	PUNCT
ejpam-4662	333	11	,	,	PUNCT
ejpam-4662	333	12	γ	γ	X
ejpam-4662	333	13	=	=	SYM
ejpam-4662	333	14	0	0	PROPN
ejpam-4662	333	15	,	,	PUNCT
ejpam-4662	333	16	uep(f	uep(f	PROPN
ejpam-4662	333	17	)	)	PUNCT
ejpam-4662	333	18	=	=	PUNCT
ejpam-4662	334	1	+	+	NUM
ejpam-4662	334	2	∞.	∞.	PROPN
ejpam-4662	334	3	(	(	PUNCT
ejpam-4662	334	4	iii	iii	NOUN
ejpam-4662	334	5	)	)	PUNCT
ejpam-4662	334	6	the	the	DET
ejpam-4662	334	7	asymptotic	asymptotic	ADJ
ejpam-4662	334	8	law	law	NOUN
ejpam-4662	334	9	of	of	ADP
ejpam-4662	334	10	the	the	DET
ejpam-4662	334	11	record	record	NOUN
ejpam-4662	334	12	values	value	NOUN
ejpam-4662	334	13	x(n	x(n	NOUN
ejpam-4662	334	14	)	)	PUNCT
ejpam-4662	334	15	,	,	PUNCT
ejpam-4662	334	16	n	n	PRON
ejpam-4662	334	17	≥	≥	NOUN
ejpam-4662	334	18	1	1	NUM
ejpam-4662	334	19	,	,	PUNCT
ejpam-4662	334	20	is	be	AUX
ejpam-4662	334	21	given	give	VERB
ejpam-4662	334	22	as	as	SCONJ
ejpam-4662	334	23	follows	follow	VERB
ejpam-4662	334	24	.	.	PUNCT
ejpam-4662	335	1	√	√	NUM
ejpam-4662	335	2	n	n	CCONJ
ejpam-4662	335	3	(	(	PUNCT
ejpam-4662	335	4	1	1	NUM
ejpam-4662	335	5	(	(	PUNCT
ejpam-4662	335	6	2n	2n	NUM
ejpam-4662	335	7	log(kr	log(kr	NOUN
ejpam-4662	335	8	)	)	PUNCT
ejpam-4662	335	9	)	)	PUNCT
ejpam-4662	336	1	exp(x(n))−	exp(x(n))−	NOUN
ejpam-4662	336	2	1	1	X
ejpam-4662	336	3	)	)	PUNCT
ejpam-4662	336	4	=	=	VERB
ejpam-4662	336	5	s∗	s∗	PROPN
ejpam-4662	336	6	n	n	PROPN
ejpam-4662	336	7	+	+	NOUN
ejpam-4662	336	8	op((log	op((log	NOUN
ejpam-4662	336	9	n	n	CCONJ
ejpam-4662	336	10	)	)	PUNCT
ejpam-4662	336	11	−3	−3	X
ejpam-4662	336	12	)	)	PUNCT
ejpam-4662	337	1	=	=	SYM
ejpam-4662	337	2	w	w	NOUN
ejpam-4662	337	3	∗	∗	NOUN
ejpam-4662	337	4	n	n	PRON
ejpam-4662	337	5	+	+	NOUN
ejpam-4662	337	6	op((log	op((log	NOUN
ejpam-4662	337	7	n	n	CCONJ
ejpam-4662	337	8	)	)	PUNCT
ejpam-4662	337	9	−3	−3	ADV
ejpam-4662	337	10	)	)	PUNCT
ejpam-4662	337	11	→	→	SYM
ejpam-4662	337	12	n	n	CCONJ
ejpam-4662	337	13	(	(	PUNCT
ejpam-4662	337	14	0	0	NUM
ejpam-4662	337	15	,	,	PUNCT
ejpam-4662	337	16	1	1	NUM
ejpam-4662	337	17	)	)	PUNCT
ejpam-4662	337	18	(	(	PUNCT
ejpam-4662	337	19	27	27	NUM
ejpam-4662	337	20	)	)	PUNCT
ejpam-4662	337	21	we	we	PRON
ejpam-4662	337	22	also	also	ADV
ejpam-4662	337	23	have	have	AUX
ejpam-4662	337	24	(	(	PUNCT
ejpam-4662	337	25	log	log	VERB
ejpam-4662	337	26	r	r	NOUN
ejpam-4662	337	27	+	+	NOUN
ejpam-4662	337	28	n)2	n)2	PROPN
ejpam-4662	337	29	(	(	PUNCT
ejpam-4662	337	30	x(n	x(n	NOUN
ejpam-4662	337	31	)	)	PUNCT
ejpam-4662	337	32	−	−	NOUN
ejpam-4662	337	33	arcsinh	arcsinh	ADV
ejpam-4662	337	34	(	(	PUNCT
ejpam-4662	337	35	−	−	PROPN
ejpam-4662	337	36	log	log	NOUN
ejpam-4662	337	37	(	(	PUNCT
ejpam-4662	337	38	(	(	PUNCT
ejpam-4662	337	39	1−e−n)−1	1−e−n)−1	NUM
ejpam-4662	337	40	/	/	SYM
ejpam-4662	337	41	r−1	r−1	PROPN
ejpam-4662	337	42	k	k	PROPN
ejpam-4662	337	43	)	)	PUNCT
ejpam-4662	337	44	)	)	PUNCT
ejpam-4662	337	45	)	)	PUNCT
ejpam-4662	338	1	√	√	PROPN
ejpam-4662	339	1	n	n	NOUN
ejpam-4662	339	2	=	=	PRON
ejpam-4662	339	3	s∗	s∗	PROPN
ejpam-4662	339	4	n	n	PROPN
ejpam-4662	339	5	+	+	NOUN
ejpam-4662	339	6	op(n	op(n	NOUN
ejpam-4662	339	7	−1/2	−1/2	ADJ
ejpam-4662	339	8	)	)	PUNCT
ejpam-4662	340	1	=	=	SYM
ejpam-4662	341	1	w	w	NOUN
ejpam-4662	341	2	∗	∗	NOUN
ejpam-4662	341	3	n	n	X
ejpam-4662	341	4	+	+	NOUN
ejpam-4662	341	5	op(cn	op(cn	NOUN
ejpam-4662	341	6	)	)	PUNCT
ejpam-4662	341	7	→	→	SYM
ejpam-4662	341	8	n	n	CCONJ
ejpam-4662	341	9	(	(	PUNCT
ejpam-4662	341	10	0	0	NUM
ejpam-4662	341	11	,	,	PUNCT
ejpam-4662	341	12	1	1	NUM
ejpam-4662	341	13	)	)	PUNCT
ejpam-4662	341	14	.	.	PUNCT
ejpam-4662	342	1	(	(	PUNCT
ejpam-4662	342	2	vialt	vialt	NOUN
ejpam-4662	342	3	)	)	PUNCT
ejpam-4662	342	4	burr	burr	PROPN
ejpam-4662	342	5	vii	vii	PROPN
ejpam-4662	342	6	.	.	PUNCT
ejpam-4662	343	1	(	(	PUNCT
ejpam-4662	343	2	i	i	NOUN
ejpam-4662	343	3	)	)	PUNCT
ejpam-4662	343	4	the	the	DET
ejpam-4662	343	5	quantile	quantile	ADJ
ejpam-4662	343	6	function	function	NOUN
ejpam-4662	343	7	is	be	AUX
ejpam-4662	343	8	expanded	expand	VERB
ejpam-4662	343	9	as	as	SCONJ
ejpam-4662	343	10	follows	follow	VERB
ejpam-4662	343	11	.	.	PUNCT
ejpam-4662	344	1	f−1	f−1	PROPN
ejpam-4662	344	2	(	(	PUNCT
ejpam-4662	344	3	1−	1−	NUM
ejpam-4662	344	4	u	u	NOUN
ejpam-4662	344	5	)	)	PUNCT
ejpam-4662	344	6	=	=	PUNCT
ejpam-4662	344	7	log	log	VERB
ejpam-4662	344	8	√	√	NOUN
ejpam-4662	345	1	r	r	NOUN
ejpam-4662	345	2	+	+	CCONJ
ejpam-4662	345	3	1	1	NUM
ejpam-4662	345	4	2	2	NUM
ejpam-4662	345	5	log	log	NOUN
ejpam-4662	345	6	(	(	PUNCT
ejpam-4662	345	7	1	1	NUM
ejpam-4662	345	8	/	/	SYM
ejpam-4662	345	9	u)−	u)−	PROPN
ejpam-4662	345	10	1	1	NUM
ejpam-4662	345	11	+	+	NOUN
ejpam-4662	345	12	r	r	NOUN
ejpam-4662	345	13	4r	4r	NOUN
ejpam-4662	345	14	u+o	u+o	NUM
ejpam-4662	345	15	(	(	PUNCT
ejpam-4662	345	16	u2	u2	PROPN
ejpam-4662	345	17	)	)	PUNCT
ejpam-4662	345	18	.	.	PUNCT
ejpam-4662	346	1	(	(	PUNCT
ejpam-4662	346	2	28	28	NUM
ejpam-4662	346	3	)	)	PUNCT
ejpam-4662	346	4	(	(	PUNCT
ejpam-4662	346	5	ii	ii	NOUN
ejpam-4662	346	6	)	)	PUNCT
ejpam-4662	346	7	here	here	ADV
ejpam-4662	346	8	z	z	X
ejpam-4662	346	9	=	=	SYM
ejpam-4662	346	10	exp(x	exp(x	PROPN
ejpam-4662	346	11	)	)	PUNCT
ejpam-4662	346	12	∈	∈	PROPN
ejpam-4662	346	13	d(gγ	d(gγ	PROPN
ejpam-4662	346	14	)	)	PUNCT
ejpam-4662	346	15	,	,	PUNCT
ejpam-4662	346	16	γ	γ	X
ejpam-4662	346	17	=	=	SYM
ejpam-4662	346	18	1/2	1/2	NUM
ejpam-4662	346	19	,	,	PUNCT
ejpam-4662	346	20	i.e.	i.e.	X
ejpam-4662	346	21	,	,	PUNCT
ejpam-4662	346	22	x	x	SYM
ejpam-4662	346	23	=	=	PUNCT
ejpam-4662	347	1	logz	logz	X
ejpam-4662	347	2	and	and	CCONJ
ejpam-4662	347	3	uep(f	uep(f	PROPN
ejpam-4662	347	4	)	)	PUNCT
ejpam-4662	348	1	=	=	PUNCT
ejpam-4662	349	1	+	+	NUM
ejpam-4662	349	2	∞.	∞.	PROPN
ejpam-4662	349	3	(	(	PUNCT
ejpam-4662	349	4	iii	iii	NOUN
ejpam-4662	349	5	)	)	PUNCT
ejpam-4662	349	6	the	the	DET
ejpam-4662	349	7	asymptotic	asymptotic	ADJ
ejpam-4662	349	8	law	law	NOUN
ejpam-4662	349	9	of	of	ADP
ejpam-4662	349	10	the	the	DET
ejpam-4662	349	11	record	record	NOUN
ejpam-4662	349	12	values	value	NOUN
ejpam-4662	349	13	x(n	x(n	NOUN
ejpam-4662	349	14	)	)	PUNCT
ejpam-4662	349	15	,	,	PUNCT
ejpam-4662	349	16	n	n	PRON
ejpam-4662	349	17	≥	≥	NOUN
ejpam-4662	349	18	1	1	NUM
ejpam-4662	349	19	,	,	PUNCT
ejpam-4662	349	20	is	be	AUX
ejpam-4662	349	21	given	give	VERB
ejpam-4662	349	22	as	as	SCONJ
ejpam-4662	349	23	follows	follow	VERB
ejpam-4662	349	24	.	.	PUNCT
ejpam-4662	350	1	x(n	x(n	NOUN
ejpam-4662	350	2	)	)	PUNCT
ejpam-4662	351	1	−	−	PROPN
ejpam-4662	351	2	n/2−	n/2−	INTJ
ejpam-4662	351	3	log	log	NOUN
ejpam-4662	351	4	√	√	NUM
ejpam-4662	351	5	r√	r√	NOUN
ejpam-4662	351	6	n	n	NOUN
ejpam-4662	351	7	=	=	PUNCT
ejpam-4662	351	8	(	(	PUNCT
ejpam-4662	351	9	1/2)s∗	1/2)s∗	NOUN
ejpam-4662	351	10	n	n	X
ejpam-4662	351	11	+	+	NOUN
ejpam-4662	351	12	op(dn(η	op(dn(η	NOUN
ejpam-4662	351	13	)	)	PUNCT
ejpam-4662	351	14	)	)	PUNCT
ejpam-4662	352	1	=	=	PUNCT
ejpam-4662	352	2	(	(	PUNCT
ejpam-4662	352	3	1/2)w	1/2)w	NUM
ejpam-4662	352	4	∗	∗	NOUN
ejpam-4662	352	5	n	n	X
ejpam-4662	352	6	+	+	NOUN
ejpam-4662	352	7	op(cn	op(cn	NOUN
ejpam-4662	352	8	)	)	PUNCT
ejpam-4662	352	9	→	→	SYM
ejpam-4662	352	10	n	n	CCONJ
ejpam-4662	352	11	(	(	PUNCT
ejpam-4662	352	12	0	0	NUM
ejpam-4662	352	13	,	,	PUNCT
ejpam-4662	352	14	1/4	1/4	NUM
ejpam-4662	352	15	)	)	PUNCT
ejpam-4662	352	16	.	.	PUNCT
ejpam-4662	353	1	(	(	PUNCT
ejpam-4662	353	2	29	29	NUM
ejpam-4662	353	3	)	)	PUNCT
ejpam-4662	353	4	s.	s.	PROPN
ejpam-4662	353	5	dembele	dembele	PROPN
ejpam-4662	353	6	et	et	PROPN
ejpam-4662	353	7	al	al	PROPN
ejpam-4662	353	8	.	.	PUNCT
ejpam-4662	353	9	/	/	SYM
ejpam-4662	353	10	eur	eur	PROPN
ejpam-4662	353	11	.	.	PUNCT
ejpam-4662	354	1	j.	j.	PROPN
ejpam-4662	354	2	pure	pure	PROPN
ejpam-4662	354	3	appl	appl	PROPN
ejpam-4662	354	4	.	.	PROPN
ejpam-4662	354	5	math	math	PROPN
ejpam-4662	354	6	,	,	PUNCT
ejpam-4662	354	7	16	16	NUM
ejpam-4662	354	8	(	(	PUNCT
ejpam-4662	354	9	1	1	NUM
ejpam-4662	354	10	)	)	PUNCT
ejpam-4662	354	11	(	(	PUNCT
ejpam-4662	354	12	2023	2023	NUM
ejpam-4662	354	13	)	)	PUNCT
ejpam-4662	354	14	,	,	PUNCT
ejpam-4662	354	15	609	609	NUM
ejpam-4662	354	16	-	-	SYM
ejpam-4662	354	17	656	656	NUM
ejpam-4662	354	18	626	626	NUM
ejpam-4662	354	19	burr	burr	NOUN
ejpam-4662	354	20	viii	viii	NOUN
ejpam-4662	354	21	.	.	PUNCT
ejpam-4662	355	1	(	(	PUNCT
ejpam-4662	355	2	i	i	NOUN
ejpam-4662	355	3	)	)	PUNCT
ejpam-4662	355	4	the	the	DET
ejpam-4662	355	5	quantile	quantile	ADJ
ejpam-4662	355	6	function	function	NOUN
ejpam-4662	355	7	is	be	AUX
ejpam-4662	355	8	expanded	expand	VERB
ejpam-4662	355	9	as	as	SCONJ
ejpam-4662	355	10	follows	follow	VERB
ejpam-4662	355	11	.	.	PUNCT
ejpam-4662	356	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	356	2	u	u	NOUN
ejpam-4662	356	3	)	)	PUNCT
ejpam-4662	356	4	=	=	SYM
ejpam-4662	356	5	log(2r	log(2r	PROPN
ejpam-4662	356	6	/	/	SYM
ejpam-4662	356	7	π	π	PROPN
ejpam-4662	356	8	)	)	PUNCT
ejpam-4662	357	1	+	+	PUNCT
ejpam-4662	357	2	log(1	log(1	NOUN
ejpam-4662	357	3	/	/	SYM
ejpam-4662	357	4	u)−	u)−	PROPN
ejpam-4662	357	5	1−	1−	NUM
ejpam-4662	357	6	r	r	NOUN
ejpam-4662	357	7	2r	2r	NUM
ejpam-4662	357	8	u+o(u2	u+o(u2	PROPN
ejpam-4662	357	9	)	)	PUNCT
ejpam-4662	357	10	.	.	PUNCT
ejpam-4662	358	1	(	(	PUNCT
ejpam-4662	358	2	30	30	NUM
ejpam-4662	358	3	)	)	PUNCT
ejpam-4662	358	4	(	(	PUNCT
ejpam-4662	358	5	ii	ii	NOUN
ejpam-4662	358	6	)	)	PUNCT
ejpam-4662	358	7	here	here	ADV
ejpam-4662	358	8	z	z	X
ejpam-4662	358	9	=	=	SYM
ejpam-4662	358	10	exp(x	exp(x	PROPN
ejpam-4662	358	11	)	)	PUNCT
ejpam-4662	358	12	∈	∈	PROPN
ejpam-4662	358	13	d(gγ	d(gγ	PROPN
ejpam-4662	358	14	)	)	PUNCT
ejpam-4662	358	15	,	,	PUNCT
ejpam-4662	358	16	γ	γ	NOUN
ejpam-4662	358	17	=	=	SYM
ejpam-4662	358	18	1	1	NUM
ejpam-4662	358	19	,	,	PUNCT
ejpam-4662	358	20	i.e.	i.e.	X
ejpam-4662	358	21	,	,	PUNCT
ejpam-4662	358	22	x	x	SYM
ejpam-4662	358	23	=	=	PUNCT
ejpam-4662	358	24	logz	logz	X
ejpam-4662	358	25	and	and	CCONJ
ejpam-4662	358	26	uep(f	uep(f	PROPN
ejpam-4662	358	27	)	)	PUNCT
ejpam-4662	359	1	=	=	PUNCT
ejpam-4662	360	1	+	+	NUM
ejpam-4662	360	2	∞.	∞.	PROPN
ejpam-4662	360	3	(	(	PUNCT
ejpam-4662	360	4	iii	iii	NOUN
ejpam-4662	360	5	)	)	PUNCT
ejpam-4662	360	6	the	the	DET
ejpam-4662	360	7	asymptotic	asymptotic	ADJ
ejpam-4662	360	8	law	law	NOUN
ejpam-4662	360	9	of	of	ADP
ejpam-4662	360	10	the	the	DET
ejpam-4662	360	11	record	record	NOUN
ejpam-4662	360	12	values	value	NOUN
ejpam-4662	360	13	x(n	x(n	NOUN
ejpam-4662	360	14	)	)	PUNCT
ejpam-4662	360	15	,	,	PUNCT
ejpam-4662	360	16	n	n	PRON
ejpam-4662	360	17	≥	≥	NOUN
ejpam-4662	360	18	1	1	NUM
ejpam-4662	360	19	,	,	PUNCT
ejpam-4662	360	20	is	be	AUX
ejpam-4662	360	21	given	give	VERB
ejpam-4662	360	22	as	as	SCONJ
ejpam-4662	360	23	follows	follow	VERB
ejpam-4662	360	24	.	.	PUNCT
ejpam-4662	361	1	x(n	x(n	NOUN
ejpam-4662	361	2	)	)	PUNCT
ejpam-4662	362	1	−	−	PROPN
ejpam-4662	362	2	n−	n−	NOUN
ejpam-4662	362	3	log(2r	log(2r	NOUN
ejpam-4662	362	4	/	/	SYM
ejpam-4662	362	5	π)√	π)√	PROPN
ejpam-4662	362	6	n	n	NOUN
ejpam-4662	362	7	=	=	PUNCT
ejpam-4662	362	8	s∗	s∗	PROPN
ejpam-4662	362	9	n	n	PROPN
ejpam-4662	362	10	+	+	NOUN
ejpam-4662	362	11	op(dn(η	op(dn(η	NOUN
ejpam-4662	362	12	)	)	PUNCT
ejpam-4662	362	13	)	)	PUNCT
ejpam-4662	363	1	=	=	PUNCT
ejpam-4662	364	1	w	w	NOUN
ejpam-4662	364	2	∗	∗	NOUN
ejpam-4662	364	3	n	n	X
ejpam-4662	364	4	+	+	NOUN
ejpam-4662	364	5	op(cn	op(cn	NOUN
ejpam-4662	364	6	)	)	PUNCT
ejpam-4662	364	7	→	→	SYM
ejpam-4662	364	8	n	n	CCONJ
ejpam-4662	364	9	(	(	PUNCT
ejpam-4662	364	10	0	0	NUM
ejpam-4662	364	11	,	,	PUNCT
ejpam-4662	364	12	1	1	NUM
ejpam-4662	364	13	)	)	PUNCT
ejpam-4662	364	14	.	.	PUNCT
ejpam-4662	365	1	(	(	PUNCT
ejpam-4662	365	2	31	31	NUM
ejpam-4662	365	3	)	)	PUNCT
ejpam-4662	365	4	burr	burr	NOUN
ejpam-4662	365	5	ix	ix	PROPN
ejpam-4662	365	6	.	.	PUNCT
ejpam-4662	366	1	(	(	PUNCT
ejpam-4662	366	2	i	i	NOUN
ejpam-4662	366	3	)	)	PUNCT
ejpam-4662	366	4	the	the	DET
ejpam-4662	366	5	quantile	quantile	ADJ
ejpam-4662	366	6	function	function	NOUN
ejpam-4662	366	7	is	be	AUX
ejpam-4662	366	8	expanded	expand	VERB
ejpam-4662	366	9	as	as	SCONJ
ejpam-4662	366	10	follows	follow	VERB
ejpam-4662	366	11	.	.	PUNCT
ejpam-4662	367	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	367	2	u	u	NOUN
ejpam-4662	367	3	)	)	PUNCT
ejpam-4662	367	4	=	=	PUNCT
ejpam-4662	367	5			PUNCT
ejpam-4662	367	6	1	1	NUM
ejpam-4662	367	7	r	r	NOUN
ejpam-4662	367	8	log	log	NOUN
ejpam-4662	367	9	(	(	PUNCT
ejpam-4662	367	10	2	2	NUM
ejpam-4662	367	11	uk	uk	PROPN
ejpam-4662	367	12	)	)	PUNCT
ejpam-4662	367	13	−	−	PROPN
ejpam-4662	368	1	(	(	PUNCT
ejpam-4662	368	2	2−k	2−k	NUM
ejpam-4662	368	3	2r	2r	NUM
ejpam-4662	368	4	)	)	PUNCT
ejpam-4662	369	1	u+o(u2	u+o(u2	PROPN
ejpam-4662	369	2	)	)	PUNCT
ejpam-4662	369	3	if	if	SCONJ
ejpam-4662	369	4	0	0	NUM
ejpam-4662	369	5	<	<	X
ejpam-4662	369	6	r	r	NOUN
ejpam-4662	369	7	≤	≤	NUM
ejpam-4662	369	8	1/2	1/2	NUM
ejpam-4662	369	9	1	1	NUM
ejpam-4662	369	10	r	r	NOUN
ejpam-4662	369	11	log	log	NOUN
ejpam-4662	369	12	(	(	PUNCT
ejpam-4662	369	13	2	2	NUM
ejpam-4662	369	14	uk	uk	PROPN
ejpam-4662	369	15	)	)	PUNCT
ejpam-4662	369	16	−	−	PROPN
ejpam-4662	370	1	(	(	PUNCT
ejpam-4662	370	2	2−k	2−k	NUM
ejpam-4662	370	3	2r	2r	NUM
ejpam-4662	370	4	)	)	PUNCT
ejpam-4662	371	1	u+o(u1	u+o(u1	NOUN
ejpam-4662	371	2	/	/	SYM
ejpam-4662	371	3	r	r	NOUN
ejpam-4662	371	4	)	)	PUNCT
ejpam-4662	371	5	if	if	SCONJ
ejpam-4662	371	6	r	r	NOUN
ejpam-4662	371	7	>	>	X
ejpam-4662	371	8	1/2	1/2	NUM
ejpam-4662	371	9	(	(	PUNCT
ejpam-4662	371	10	ii	ii	NOUN
ejpam-4662	371	11	)	)	PUNCT
ejpam-4662	371	12	here	here	ADV
ejpam-4662	371	13	z	z	X
ejpam-4662	371	14	=	=	SYM
ejpam-4662	371	15	exp(x	exp(x	PROPN
ejpam-4662	371	16	)	)	PUNCT
ejpam-4662	371	17	∈	∈	PROPN
ejpam-4662	371	18	d(gγ	d(gγ	PROPN
ejpam-4662	371	19	)	)	PUNCT
ejpam-4662	371	20	,	,	PUNCT
ejpam-4662	371	21	γ	γ	NOUN
ejpam-4662	371	22	=	=	SYM
ejpam-4662	371	23	1	1	NUM
ejpam-4662	371	24	/	/	SYM
ejpam-4662	371	25	r	r	NOUN
ejpam-4662	371	26	,	,	PUNCT
ejpam-4662	371	27	i.e.	i.e.	X
ejpam-4662	371	28	,	,	PUNCT
ejpam-4662	371	29	x	x	SYM
ejpam-4662	371	30	=	=	PUNCT
ejpam-4662	372	1	logz	logz	X
ejpam-4662	372	2	and	and	CCONJ
ejpam-4662	372	3	uep(f	uep(f	PROPN
ejpam-4662	372	4	)	)	PUNCT
ejpam-4662	373	1	=	=	PUNCT
ejpam-4662	374	1	+	+	NUM
ejpam-4662	374	2	∞.	∞.	PROPN
ejpam-4662	374	3	(	(	PUNCT
ejpam-4662	374	4	iii	iii	NOUN
ejpam-4662	374	5	)	)	PUNCT
ejpam-4662	374	6	the	the	DET
ejpam-4662	374	7	asymptotic	asymptotic	ADJ
ejpam-4662	374	8	law	law	NOUN
ejpam-4662	374	9	of	of	ADP
ejpam-4662	374	10	the	the	DET
ejpam-4662	374	11	record	record	NOUN
ejpam-4662	374	12	values	value	NOUN
ejpam-4662	374	13	x(n	x(n	NOUN
ejpam-4662	374	14	)	)	PUNCT
ejpam-4662	374	15	,	,	PUNCT
ejpam-4662	374	16	n	n	PRON
ejpam-4662	374	17	≥	≥	NOUN
ejpam-4662	374	18	1	1	NUM
ejpam-4662	374	19	,	,	PUNCT
ejpam-4662	374	20	is	be	AUX
ejpam-4662	374	21	given	give	VERB
ejpam-4662	374	22	as	as	SCONJ
ejpam-4662	374	23	follows	follow	VERB
ejpam-4662	374	24	for	for	ADP
ejpam-4662	374	25	both	both	DET
ejpam-4662	374	26	sub	sub	NOUN
ejpam-4662	374	27	-	-	NOUN
ejpam-4662	374	28	cases	case	NOUN
ejpam-4662	374	29	.	.	PUNCT
ejpam-4662	375	1	x(n	x(n	NOUN
ejpam-4662	375	2	)	)	PUNCT
ejpam-4662	376	1	−	−	PROPN
ejpam-4662	377	1	n	n	CCONJ
ejpam-4662	377	2	r	r	NOUN
ejpam-4662	377	3	−	−	NUM
ejpam-4662	377	4	1	1	NUM
ejpam-4662	377	5	r	r	NOUN
ejpam-4662	377	6	log	log	NOUN
ejpam-4662	377	7	(	(	PUNCT
ejpam-4662	377	8	2	2	NUM
ejpam-4662	377	9	k	k	NOUN
ejpam-4662	377	10	)	)	PUNCT
ejpam-4662	377	11	√	√	PROPN
ejpam-4662	378	1	n	n	NOUN
ejpam-4662	378	2	=	=	SYM
ejpam-4662	378	3	1	1	NUM
ejpam-4662	378	4	r	r	NOUN
ejpam-4662	378	5	s∗	s∗	NOUN
ejpam-4662	378	6	n	n	PROPN
ejpam-4662	378	7	+	+	NOUN
ejpam-4662	378	8	op(dn(η	op(dn(η	NOUN
ejpam-4662	378	9	)	)	PUNCT
ejpam-4662	378	10	)	)	PUNCT
ejpam-4662	379	1	=	=	SYM
ejpam-4662	379	2	1	1	NUM
ejpam-4662	379	3	r	r	NOUN
ejpam-4662	379	4	w	w	NOUN
ejpam-4662	379	5	∗	∗	NOUN
ejpam-4662	379	6	n	n	PRON
ejpam-4662	379	7	+	+	NOUN
ejpam-4662	379	8	op(cn	op(cn	NOUN
ejpam-4662	379	9	)	)	PUNCT
ejpam-4662	379	10	→	→	SYM
ejpam-4662	379	11	n	n	CCONJ
ejpam-4662	379	12	(	(	PUNCT
ejpam-4662	379	13	0	0	NUM
ejpam-4662	379	14	,	,	PUNCT
ejpam-4662	379	15	r−2	r−2	PROPN
ejpam-4662	379	16	)	)	PUNCT
ejpam-4662	379	17	.	.	PUNCT
ejpam-4662	380	1	(	(	PUNCT
ejpam-4662	380	2	32	32	NUM
ejpam-4662	380	3	)	)	PUNCT
ejpam-4662	380	4	burr	burr	NOUN
ejpam-4662	380	5	x.	x.	NOUN
ejpam-4662	380	6	(	(	PUNCT
ejpam-4662	380	7	i	i	NOUN
ejpam-4662	380	8	)	)	PUNCT
ejpam-4662	380	9	the	the	DET
ejpam-4662	380	10	quantile	quantile	ADJ
ejpam-4662	380	11	function	function	NOUN
ejpam-4662	380	12	is	be	AUX
ejpam-4662	380	13	expanded	expand	VERB
ejpam-4662	380	14	as	as	SCONJ
ejpam-4662	380	15	follows	follow	VERB
ejpam-4662	380	16	.	.	PUNCT
ejpam-4662	381	1	s.	s.	PROPN
ejpam-4662	381	2	dembele	dembele	PROPN
ejpam-4662	381	3	et	et	PROPN
ejpam-4662	381	4	al	al	PROPN
ejpam-4662	381	5	.	.	PUNCT
ejpam-4662	381	6	/	/	SYM
ejpam-4662	381	7	eur	eur	PROPN
ejpam-4662	381	8	.	.	PUNCT
ejpam-4662	382	1	j.	j.	PROPN
ejpam-4662	382	2	pure	pure	PROPN
ejpam-4662	382	3	appl	appl	PROPN
ejpam-4662	382	4	.	.	PROPN
ejpam-4662	382	5	math	math	PROPN
ejpam-4662	382	6	,	,	PUNCT
ejpam-4662	382	7	16	16	NUM
ejpam-4662	382	8	(	(	PUNCT
ejpam-4662	382	9	1	1	NUM
ejpam-4662	382	10	)	)	PUNCT
ejpam-4662	382	11	(	(	PUNCT
ejpam-4662	382	12	2023	2023	NUM
ejpam-4662	382	13	)	)	PUNCT
ejpam-4662	382	14	,	,	PUNCT
ejpam-4662	382	15	609	609	NUM
ejpam-4662	382	16	-	-	SYM
ejpam-4662	382	17	656	656	NUM
ejpam-4662	382	18	627	627	NUM
ejpam-4662	382	19	f−1(1−	f−1(1−	PROPN
ejpam-4662	382	20	u	u	NOUN
ejpam-4662	382	21	)	)	PUNCT
ejpam-4662	382	22	=	=	SYM
ejpam-4662	382	23	(	(	PUNCT
ejpam-4662	382	24	log(1	log(1	NOUN
ejpam-4662	382	25	/	/	SYM
ejpam-4662	382	26	u))1/2	u))1/2	ADJ
ejpam-4662	382	27	{	{	PUNCT
ejpam-4662	382	28	1−	1−	NUM
ejpam-4662	382	29	r	r	NOUN
ejpam-4662	382	30	+	+	CCONJ
ejpam-4662	382	31	1	1	NUM
ejpam-4662	382	32	4r	4r	NUM
ejpam-4662	382	33	u	u	NOUN
ejpam-4662	382	34	log(1	log(1	NOUN
ejpam-4662	382	35	/	/	SYM
ejpam-4662	382	36	u	u	NOUN
ejpam-4662	382	37	)	)	PUNCT
ejpam-4662	383	1	+	+	NOUN
ejpam-4662	383	2	o	o	X
ejpam-4662	383	3	(	(	PUNCT
ejpam-4662	383	4	u2	u2	PROPN
ejpam-4662	383	5	log(1	log(1	NOUN
ejpam-4662	383	6	/	/	SYM
ejpam-4662	383	7	u	u	NOUN
ejpam-4662	383	8	)	)	PUNCT
ejpam-4662	383	9	)	)	PUNCT
ejpam-4662	383	10	}	}	PUNCT
ejpam-4662	383	11	.	.	PUNCT
ejpam-4662	384	1	(	(	PUNCT
ejpam-4662	384	2	ii	ii	NOUN
ejpam-4662	384	3	)	)	PUNCT
ejpam-4662	384	4	here	here	ADV
ejpam-4662	384	5	x	x	X
ejpam-4662	384	6	∈	∈	PROPN
ejpam-4662	384	7	d(gγ	d(gγ	PROPN
ejpam-4662	384	8	)	)	PUNCT
ejpam-4662	384	9	,	,	PUNCT
ejpam-4662	384	10	γ	γ	X
ejpam-4662	384	11	=	=	SYM
ejpam-4662	384	12	0	0	PROPN
ejpam-4662	384	13	,	,	PUNCT
ejpam-4662	384	14	uep(f	uep(f	PROPN
ejpam-4662	384	15	)	)	PUNCT
ejpam-4662	384	16	=	=	PUNCT
ejpam-4662	385	1	+	+	NUM
ejpam-4662	385	2	∞.	∞.	PROPN
ejpam-4662	385	3	(	(	PUNCT
ejpam-4662	385	4	iii	iii	NOUN
ejpam-4662	385	5	)	)	PUNCT
ejpam-4662	385	6	the	the	DET
ejpam-4662	385	7	asymptotic	asymptotic	ADJ
ejpam-4662	385	8	law	law	NOUN
ejpam-4662	385	9	of	of	ADP
ejpam-4662	385	10	the	the	DET
ejpam-4662	385	11	record	record	NOUN
ejpam-4662	385	12	values	value	NOUN
ejpam-4662	385	13	x(n	x(n	NOUN
ejpam-4662	385	14	)	)	PUNCT
ejpam-4662	385	15	,	,	PUNCT
ejpam-4662	385	16	n	n	PRON
ejpam-4662	385	17	≥	≥	NOUN
ejpam-4662	385	18	1	1	NUM
ejpam-4662	385	19	,	,	PUNCT
ejpam-4662	385	20	is	be	AUX
ejpam-4662	385	21	given	give	VERB
ejpam-4662	385	22	as	as	SCONJ
ejpam-4662	385	23	follows	follow	VERB
ejpam-4662	385	24	.	.	PUNCT
ejpam-4662	386	1	√	√	NOUN
ejpam-4662	386	2	n	n	PRON
ejpam-4662	386	3	log	log	NOUN
ejpam-4662	386	4	(	(	PUNCT
ejpam-4662	386	5	x(n	x(n	NOUN
ejpam-4662	386	6	)	)	PUNCT
ejpam-4662	386	7	√	√	NUM
ejpam-4662	386	8	n	n	NUM
ejpam-4662	386	9	)	)	PUNCT
ejpam-4662	386	10	=	=	SYM
ejpam-4662	386	11	1	1	NUM
ejpam-4662	386	12	2	2	NUM
ejpam-4662	386	13	s∗	s∗	PROPN
ejpam-4662	386	14	n	n	PROPN
ejpam-4662	386	15	+	+	NOUN
ejpam-4662	386	16	op(n	op(n	NOUN
ejpam-4662	386	17	−1/2	−1/2	ADJ
ejpam-4662	386	18	)	)	PUNCT
ejpam-4662	387	1	=	=	SYM
ejpam-4662	387	2	1	1	NUM
ejpam-4662	387	3	2	2	NUM
ejpam-4662	387	4	w	w	NOUN
ejpam-4662	387	5	∗	∗	NOUN
ejpam-4662	387	6	n	n	X
ejpam-4662	387	7	+	+	NOUN
ejpam-4662	387	8	op(cn	op(cn	NOUN
ejpam-4662	387	9	)	)	PUNCT
ejpam-4662	387	10	→	→	SYM
ejpam-4662	387	11	n	n	CCONJ
ejpam-4662	387	12	(	(	PUNCT
ejpam-4662	387	13	0	0	NUM
ejpam-4662	387	14	,	,	PUNCT
ejpam-4662	387	15	1/4	1/4	NUM
ejpam-4662	387	16	)	)	PUNCT
ejpam-4662	387	17	.	.	PUNCT
ejpam-4662	388	1	(	(	PUNCT
ejpam-4662	388	2	33	33	NUM
ejpam-4662	388	3	)	)	PUNCT
ejpam-4662	388	4	we	we	PRON
ejpam-4662	388	5	also	also	ADV
ejpam-4662	388	6	have	have	VERB
ejpam-4662	388	7	(	(	PUNCT
ejpam-4662	388	8	log	log	VERB
ejpam-4662	388	9	r	r	NOUN
ejpam-4662	388	10	+	+	NOUN
ejpam-4662	388	11	n)2	n)2	PROPN
ejpam-4662	388	12	(	(	PUNCT
ejpam-4662	388	13	x(n)−	x(n)−	PROPN
ejpam-4662	388	14	(	(	PUNCT
ejpam-4662	388	15	−	−	PROPN
ejpam-4662	388	16	log	log	NOUN
ejpam-4662	388	17	(	(	PUNCT
ejpam-4662	388	18	(	(	PUNCT
ejpam-4662	388	19	1−	1−	NUM
ejpam-4662	388	20	e−n)−1	e−n)−1	NOUN
ejpam-4662	388	21	/	/	SYM
ejpam-4662	388	22	r	r	NOUN
ejpam-4662	388	23	−	−	NOUN
ejpam-4662	388	24	1	1	NUM
ejpam-4662	388	25	)	)	PUNCT
ejpam-4662	388	26	)	)	PUNCT
ejpam-4662	388	27	1/2	1/2	NUM
ejpam-4662	388	28	)	)	PUNCT
ejpam-4662	388	29	√	√	PROPN
ejpam-4662	389	1	n	n	NOUN
ejpam-4662	389	2	=	=	PRON
ejpam-4662	389	3	s∗	s∗	PROPN
ejpam-4662	389	4	n	n	PROPN
ejpam-4662	389	5	+	+	NOUN
ejpam-4662	389	6	op(n	op(n	NOUN
ejpam-4662	389	7	−1/2	−1/2	ADJ
ejpam-4662	389	8	)	)	PUNCT
ejpam-4662	390	1	=	=	SYM
ejpam-4662	391	1	w	w	NOUN
ejpam-4662	391	2	∗	∗	NOUN
ejpam-4662	391	3	n	n	X
ejpam-4662	391	4	+	+	NOUN
ejpam-4662	391	5	op(cn	op(cn	NOUN
ejpam-4662	391	6	)	)	PUNCT
ejpam-4662	391	7	→	→	SYM
ejpam-4662	391	8	n	n	CCONJ
ejpam-4662	391	9	(	(	PUNCT
ejpam-4662	391	10	0	0	NUM
ejpam-4662	391	11	,	,	PUNCT
ejpam-4662	391	12	1	1	NUM
ejpam-4662	391	13	)	)	PUNCT
ejpam-4662	391	14	.	.	PUNCT
ejpam-4662	392	1	(	(	PUNCT
ejpam-4662	392	2	xalt	xalt	NUM
ejpam-4662	392	3	)	)	PUNCT
ejpam-4662	392	4	burr	burr	NOUN
ejpam-4662	392	5	xi	xi	PROPN
ejpam-4662	392	6	.	.	PUNCT
ejpam-4662	393	1	(	(	PUNCT
ejpam-4662	393	2	i	i	NOUN
ejpam-4662	393	3	)	)	PUNCT
ejpam-4662	393	4	the	the	DET
ejpam-4662	393	5	quantile	quantile	ADJ
ejpam-4662	393	6	function	function	NOUN
ejpam-4662	393	7	is	be	AUX
ejpam-4662	393	8	expanded	expand	VERB
ejpam-4662	393	9	as	as	SCONJ
ejpam-4662	393	10	follows	follow	VERB
ejpam-4662	393	11	.	.	PUNCT
ejpam-4662	394	1	1−	1−	NUM
ejpam-4662	394	2	f−1	f−1	PROPN
ejpam-4662	394	3	(	(	PUNCT
ejpam-4662	394	4	1−	1−	NUM
ejpam-4662	394	5	u	u	NOUN
ejpam-4662	394	6	)	)	PUNCT
ejpam-4662	394	7	=	=	SYM
ejpam-4662	394	8	α−1/3u1/3	α−1/3u1/3	PROPN
ejpam-4662	394	9	(	(	PUNCT
ejpam-4662	394	10	1−	1−	NUM
ejpam-4662	394	11	β	β	NUM
ejpam-4662	394	12	3α	3α	NUM
ejpam-4662	394	13	α−1/3u2/3	α−1/3u2/3	PROPN
ejpam-4662	394	14	+	+	PROPN
ejpam-4662	394	15	o	o	X
ejpam-4662	394	16	(	(	PUNCT
ejpam-4662	394	17	u4/9	u4/9	PROPN
ejpam-4662	394	18	)	)	PUNCT
ejpam-4662	394	19	)	)	PUNCT
ejpam-4662	394	20	,	,	PUNCT
ejpam-4662	394	21	(	(	PUNCT
ejpam-4662	394	22	34	34	NUM
ejpam-4662	394	23	)	)	PUNCT
ejpam-4662	394	24	where	where	SCONJ
ejpam-4662	394	25	α	α	NOUN
ejpam-4662	394	26	=	=	X
ejpam-4662	394	27	(	(	PUNCT
ejpam-4662	394	28	2π)2	2π)2	NUM
ejpam-4662	394	29	6r	6r	NUM
ejpam-4662	394	30	,	,	PUNCT
ejpam-4662	394	31	β	β	X
ejpam-4662	394	32	=	=	SYM
ejpam-4662	394	33	−	−	PROPN
ejpam-4662	394	34	(	(	PUNCT
ejpam-4662	394	35	2π)4	2π)4	NUM
ejpam-4662	394	36	120r	120r	NUM
ejpam-4662	394	37	.	.	PUNCT
ejpam-4662	395	1	(	(	PUNCT
ejpam-4662	395	2	ii	ii	NOUN
ejpam-4662	395	3	)	)	PUNCT
ejpam-4662	395	4	f	f	PROPN
ejpam-4662	395	5	∈	∈	PROPN
ejpam-4662	395	6	d(gγ	d(gγ	PROPN
ejpam-4662	395	7	)	)	PUNCT
ejpam-4662	395	8	,	,	PUNCT
ejpam-4662	395	9	γ	γ	NOUN
ejpam-4662	395	10	=	=	SYM
ejpam-4662	395	11	−1/3	−1/3	X
ejpam-4662	395	12	,	,	PUNCT
ejpam-4662	395	13	uep(f	uep(f	PROPN
ejpam-4662	395	14	)	)	PUNCT
ejpam-4662	395	15	=	=	PUNCT
ejpam-4662	396	1	1	1	X
ejpam-4662	396	2	.	.	PUNCT
ejpam-4662	396	3	(	(	PUNCT
ejpam-4662	396	4	iii	iii	X
ejpam-4662	396	5	)	)	PUNCT
ejpam-4662	396	6	the	the	DET
ejpam-4662	396	7	asymptotic	asymptotic	ADJ
ejpam-4662	396	8	law	law	NOUN
ejpam-4662	396	9	of	of	ADP
ejpam-4662	396	10	the	the	DET
ejpam-4662	396	11	record	record	NOUN
ejpam-4662	396	12	values	value	NOUN
ejpam-4662	396	13	x(n	x(n	NOUN
ejpam-4662	396	14	)	)	PUNCT
ejpam-4662	396	15	,	,	PUNCT
ejpam-4662	396	16	n	n	PRON
ejpam-4662	396	17	≥	≥	NOUN
ejpam-4662	396	18	1	1	NUM
ejpam-4662	396	19	,	,	PUNCT
ejpam-4662	396	20	is	be	AUX
ejpam-4662	396	21	given	give	VERB
ejpam-4662	396	22	as	as	SCONJ
ejpam-4662	396	23	follows	follow	VERB
ejpam-4662	396	24	.	.	PUNCT
ejpam-4662	397	1	(	(	PUNCT
ejpam-4662	397	2	α1/3en/3	α1/3en/3	NUM
ejpam-4662	397	3	(	(	PUNCT
ejpam-4662	397	4	1−x(n	1−x(n	NUM
ejpam-4662	397	5	)	)	PUNCT
ejpam-4662	397	6	)	)	PUNCT
ejpam-4662	397	7	)	)	PUNCT
ejpam-4662	397	8	n−1/2	n−1/2	PROPN
ejpam-4662	397	9	=	=	SYM
ejpam-4662	397	10	exp	exp	NOUN
ejpam-4662	397	11	(	(	PUNCT
ejpam-4662	397	12	−	−	PROPN
ejpam-4662	397	13	1	1	NUM
ejpam-4662	397	14	3	3	NUM
ejpam-4662	397	15	s∗	s∗	NOUN
ejpam-4662	397	16	n	n	CCONJ
ejpam-4662	397	17	)	)	PUNCT
ejpam-4662	398	1	+	+	ADJ
ejpam-4662	398	2	op(an	op(an	PROPN
ejpam-4662	398	3	∨	∨	NUM
ejpam-4662	398	4	bn	bn	NOUN
ejpam-4662	398	5	)	)	PUNCT
ejpam-4662	398	6	=	=	SYM
ejpam-4662	398	7	exp	exp	NOUN
ejpam-4662	398	8	(	(	PUNCT
ejpam-4662	398	9	−	−	PROPN
ejpam-4662	398	10	1	1	NUM
ejpam-4662	398	11	3	3	NUM
ejpam-4662	398	12	w	w	NOUN
ejpam-4662	398	13	∗	∗	NOUN
ejpam-4662	398	14	n	n	CCONJ
ejpam-4662	398	15	)	)	PUNCT
ejpam-4662	399	1	+	+	ADJ
ejpam-4662	399	2	op(an	op(an	PROPN
ejpam-4662	399	3	∨	∨	NUM
ejpam-4662	399	4	bn	bn	NOUN
ejpam-4662	399	5	∨	∨	NUM
ejpam-4662	399	6	cn	cn	PROPN
ejpam-4662	399	7	)	)	PUNCT
ejpam-4662	399	8	s.	s.	PROPN
ejpam-4662	399	9	dembele	dembele	PROPN
ejpam-4662	399	10	et	et	PROPN
ejpam-4662	399	11	al	al	PROPN
ejpam-4662	399	12	.	.	PUNCT
ejpam-4662	399	13	/	/	SYM
ejpam-4662	399	14	eur	eur	PROPN
ejpam-4662	399	15	.	.	PUNCT
ejpam-4662	400	1	j.	j.	PROPN
ejpam-4662	400	2	pure	pure	PROPN
ejpam-4662	400	3	appl	appl	PROPN
ejpam-4662	400	4	.	.	PROPN
ejpam-4662	400	5	math	math	PROPN
ejpam-4662	400	6	,	,	PUNCT
ejpam-4662	400	7	16	16	NUM
ejpam-4662	400	8	(	(	PUNCT
ejpam-4662	400	9	1	1	NUM
ejpam-4662	400	10	)	)	PUNCT
ejpam-4662	400	11	(	(	PUNCT
ejpam-4662	400	12	2023	2023	NUM
ejpam-4662	400	13	)	)	PUNCT
ejpam-4662	400	14	,	,	PUNCT
ejpam-4662	400	15	609	609	NUM
ejpam-4662	400	16	-	-	SYM
ejpam-4662	400	17	656	656	NUM
ejpam-4662	400	18	628	628	NUM
ejpam-4662	400	19	→	→	SYM
ejpam-4662	400	20	exp	exp	X
ejpam-4662	400	21	(	(	PUNCT
ejpam-4662	400	22	n	n	CCONJ
ejpam-4662	400	23	(	(	PUNCT
ejpam-4662	400	24	0	0	NUM
ejpam-4662	400	25	,	,	PUNCT
ejpam-4662	400	26	1/9	1/9	NUM
ejpam-4662	400	27	)	)	PUNCT
ejpam-4662	400	28	)	)	PUNCT
ejpam-4662	400	29	.	.	PUNCT
ejpam-4662	401	1	(	(	PUNCT
ejpam-4662	401	2	35	35	NUM
ejpam-4662	401	3	)	)	PUNCT
ejpam-4662	401	4	burr	burr	NOUN
ejpam-4662	401	5	xii	xii	PROPN
ejpam-4662	401	6	.	.	PUNCT
ejpam-4662	402	1	(	(	PUNCT
ejpam-4662	402	2	i	i	NOUN
ejpam-4662	402	3	)	)	PUNCT
ejpam-4662	402	4	the	the	DET
ejpam-4662	402	5	quantile	quantile	ADJ
ejpam-4662	402	6	function	function	NOUN
ejpam-4662	402	7	is	be	AUX
ejpam-4662	402	8	expanded	expand	VERB
ejpam-4662	402	9	as	as	SCONJ
ejpam-4662	402	10	follows	follow	VERB
ejpam-4662	402	11	.	.	PUNCT
ejpam-4662	403	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	403	2	u	u	PROPN
ejpam-4662	403	3	)	)	PUNCT
ejpam-4662	403	4	=	=	SYM
ejpam-4662	403	5	u−1/(rc	u−1/(rc	PROPN
ejpam-4662	403	6	)	)	PUNCT
ejpam-4662	403	7	(	(	PUNCT
ejpam-4662	403	8	1−	1−	NUM
ejpam-4662	403	9	1	1	NUM
ejpam-4662	403	10	c	c	NOUN
ejpam-4662	403	11	u1	u1	NOUN
ejpam-4662	403	12	/	/	SYM
ejpam-4662	403	13	r	r	NOUN
ejpam-4662	403	14	+	+	NUM
ejpam-4662	403	15	1−	1−	NUM
ejpam-4662	403	16	c	c	NOUN
ejpam-4662	403	17	2c2	2c2	NUM
ejpam-4662	403	18	u2	u2	NOUN
ejpam-4662	403	19	/	/	SYM
ejpam-4662	403	20	r	r	NOUN
ejpam-4662	403	21	+	+	NOUN
ejpam-4662	403	22	o(u3	o(u3	NOUN
ejpam-4662	403	23	/	/	SYM
ejpam-4662	403	24	r	r	NOUN
ejpam-4662	403	25	)	)	PUNCT
ejpam-4662	403	26	)	)	PUNCT
ejpam-4662	403	27	.	.	PUNCT
ejpam-4662	404	1	(	(	PUNCT
ejpam-4662	404	2	36	36	NUM
ejpam-4662	404	3	)	)	PUNCT
ejpam-4662	404	4	(	(	PUNCT
ejpam-4662	404	5	ii	ii	NOUN
ejpam-4662	404	6	)	)	PUNCT
ejpam-4662	404	7	f	f	PROPN
ejpam-4662	404	8	∈	∈	PROPN
ejpam-4662	404	9	d(gγ	d(gγ	PROPN
ejpam-4662	404	10	)	)	PUNCT
ejpam-4662	404	11	,	,	PUNCT
ejpam-4662	404	12	γ	γ	NOUN
ejpam-4662	404	13	=	=	SYM
ejpam-4662	404	14	1/(rc	1/(rc	NUM
ejpam-4662	404	15	)	)	PUNCT
ejpam-4662	404	16	,	,	PUNCT
ejpam-4662	404	17	uep(f	uep(f	PROPN
ejpam-4662	404	18	)	)	PUNCT
ejpam-4662	405	1	=	=	PUNCT
ejpam-4662	406	1	+	+	NUM
ejpam-4662	406	2	∞.	∞.	PROPN
ejpam-4662	406	3	(	(	PUNCT
ejpam-4662	406	4	iii	iii	NOUN
ejpam-4662	406	5	)	)	PUNCT
ejpam-4662	406	6	the	the	DET
ejpam-4662	406	7	asymptotic	asymptotic	ADJ
ejpam-4662	406	8	law	law	NOUN
ejpam-4662	406	9	of	of	ADP
ejpam-4662	406	10	the	the	DET
ejpam-4662	406	11	record	record	NOUN
ejpam-4662	406	12	values	value	NOUN
ejpam-4662	406	13	x(n	x(n	NOUN
ejpam-4662	406	14	)	)	PUNCT
ejpam-4662	406	15	,	,	PUNCT
ejpam-4662	406	16	n	n	PRON
ejpam-4662	406	17	≥	≥	NOUN
ejpam-4662	406	18	1	1	NUM
ejpam-4662	406	19	,	,	PUNCT
ejpam-4662	406	20	is	be	AUX
ejpam-4662	406	21	given	give	VERB
ejpam-4662	406	22	as	as	SCONJ
ejpam-4662	406	23	follows	follow	VERB
ejpam-4662	406	24	.	.	PUNCT
ejpam-4662	407	1	(	(	PUNCT
ejpam-4662	407	2	x(n	x(n	NOUN
ejpam-4662	407	3	)	)	PUNCT
ejpam-4662	407	4	en	en	X
ejpam-4662	407	5	/	/	SYM
ejpam-4662	407	6	rc	rc	PROPN
ejpam-4662	407	7	)	)	PUNCT
ejpam-4662	407	8	n−1/2	n−1/2	PROPN
ejpam-4662	407	9	=	=	PUNCT
ejpam-4662	407	10	exp	exp	NOUN
ejpam-4662	407	11	(	(	PUNCT
ejpam-4662	407	12	1	1	NUM
ejpam-4662	407	13	rc	rc	PROPN
ejpam-4662	407	14	s∗	s∗	PROPN
ejpam-4662	407	15	n	n	CCONJ
ejpam-4662	407	16	)	)	PUNCT
ejpam-4662	408	1	+	+	ADJ
ejpam-4662	408	2	op(an	op(an	PROPN
ejpam-4662	408	3	∨	∨	NUM
ejpam-4662	408	4	bn	bn	NOUN
ejpam-4662	408	5	)	)	PUNCT
ejpam-4662	408	6	=	=	SYM
ejpam-4662	408	7	exp	exp	NOUN
ejpam-4662	408	8	(	(	PUNCT
ejpam-4662	408	9	1	1	NUM
ejpam-4662	408	10	rc	rc	PROPN
ejpam-4662	408	11	w	w	PROPN
ejpam-4662	408	12	∗	∗	PROPN
ejpam-4662	408	13	n	n	CCONJ
ejpam-4662	408	14	)	)	PUNCT
ejpam-4662	409	1	+	+	ADJ
ejpam-4662	409	2	op(an	op(an	PROPN
ejpam-4662	409	3	∨	∨	NUM
ejpam-4662	409	4	bn	bn	NOUN
ejpam-4662	409	5	∨	∨	NUM
ejpam-4662	409	6	cn	cn	PROPN
ejpam-4662	409	7	)	)	PUNCT
ejpam-4662	409	8	→	→	SYM
ejpam-4662	409	9	exp	exp	X
ejpam-4662	409	10	(	(	PUNCT
ejpam-4662	409	11	n	n	CCONJ
ejpam-4662	409	12	(	(	PUNCT
ejpam-4662	409	13	0	0	NUM
ejpam-4662	409	14	,	,	PUNCT
ejpam-4662	409	15	(	(	PUNCT
ejpam-4662	409	16	rc)−2	rc)−2	ADJ
ejpam-4662	409	17	)	)	PUNCT
ejpam-4662	409	18	)	)	PUNCT
ejpam-4662	409	19	.	.	PUNCT
ejpam-4662	410	1	(	(	PUNCT
ejpam-4662	410	2	37	37	NUM
ejpam-4662	410	3	)	)	PUNCT
ejpam-4662	410	4	distribution	distribution	NOUN
ejpam-4662	410	5	(	(	PUNCT
ejpam-4662	410	6	xa	xa	PROPN
ejpam-4662	410	7	)	)	PUNCT
ejpam-4662	410	8	.	.	PUNCT
ejpam-4662	411	1	(	(	PUNCT
ejpam-4662	411	2	i	i	NOUN
ejpam-4662	411	3	)	)	PUNCT
ejpam-4662	411	4	the	the	DET
ejpam-4662	411	5	quantile	quantile	ADJ
ejpam-4662	411	6	function	function	NOUN
ejpam-4662	411	7	is	be	AUX
ejpam-4662	411	8	expanded	expand	VERB
ejpam-4662	411	9	as	as	SCONJ
ejpam-4662	411	10	follows	follow	VERB
ejpam-4662	411	11	.	.	PUNCT
ejpam-4662	412	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	412	2	u	u	NOUN
ejpam-4662	412	3	)	)	PUNCT
ejpam-4662	412	4	=	=	SYM
ejpam-4662	412	5	(	(	PUNCT
ejpam-4662	412	6	log(1	log(1	NOUN
ejpam-4662	412	7	/	/	SYM
ejpam-4662	412	8	u))1/2	u))1/2	ADJ
ejpam-4662	412	9	(	(	PUNCT
ejpam-4662	412	10	1	1	NUM
ejpam-4662	412	11	+	+	SYM
ejpam-4662	412	12	1−	1−	NUM
ejpam-4662	412	13	r	r	NOUN
ejpam-4662	412	14	4r	4r	NUM
ejpam-4662	412	15	u	u	NOUN
ejpam-4662	412	16	log(1	log(1	NOUN
ejpam-4662	412	17	/	/	SYM
ejpam-4662	412	18	u	u	NOUN
ejpam-4662	412	19	)	)	PUNCT
ejpam-4662	413	1	+	+	NOUN
ejpam-4662	413	2	o	o	X
ejpam-4662	413	3	(	(	PUNCT
ejpam-4662	413	4	u2	u2	PROPN
ejpam-4662	413	5	log(1	log(1	NOUN
ejpam-4662	413	6	/	/	SYM
ejpam-4662	413	7	u	u	NOUN
ejpam-4662	413	8	)	)	PUNCT
ejpam-4662	413	9	)	)	PUNCT
ejpam-4662	413	10	)	)	PUNCT
ejpam-4662	413	11	.	.	PUNCT
ejpam-4662	414	1	(	(	PUNCT
ejpam-4662	414	2	38	38	NUM
ejpam-4662	414	3	)	)	PUNCT
ejpam-4662	414	4	(	(	PUNCT
ejpam-4662	414	5	ii	ii	NOUN
ejpam-4662	414	6	)	)	PUNCT
ejpam-4662	414	7	here	here	ADV
ejpam-4662	414	8	∈	∈	PROPN
ejpam-4662	414	9	d(gγ	d(gγ	PROPN
ejpam-4662	414	10	,	,	PUNCT
ejpam-4662	414	11	γ	γ	X
ejpam-4662	414	12	=	=	SYM
ejpam-4662	414	13	0	0	PROPN
ejpam-4662	414	14	,	,	PUNCT
ejpam-4662	414	15	uep(f	uep(f	PROPN
ejpam-4662	414	16	)	)	PUNCT
ejpam-4662	414	17	=	=	PUNCT
ejpam-4662	415	1	+	+	NUM
ejpam-4662	415	2	∞.	∞.	PROPN
ejpam-4662	415	3	(	(	PUNCT
ejpam-4662	415	4	iii	iii	NOUN
ejpam-4662	415	5	)	)	PUNCT
ejpam-4662	415	6	the	the	DET
ejpam-4662	415	7	asymptotic	asymptotic	ADJ
ejpam-4662	415	8	law	law	NOUN
ejpam-4662	415	9	of	of	ADP
ejpam-4662	415	10	the	the	DET
ejpam-4662	415	11	record	record	NOUN
ejpam-4662	415	12	values	value	NOUN
ejpam-4662	415	13	x(n	x(n	NOUN
ejpam-4662	415	14	)	)	PUNCT
ejpam-4662	415	15	,	,	PUNCT
ejpam-4662	415	16	n	n	PRON
ejpam-4662	415	17	≥	≥	NOUN
ejpam-4662	415	18	1	1	NUM
ejpam-4662	415	19	,	,	PUNCT
ejpam-4662	415	20	is	be	AUX
ejpam-4662	415	21	given	give	VERB
ejpam-4662	415	22	as	as	SCONJ
ejpam-4662	415	23	follows	follow	VERB
ejpam-4662	415	24	.	.	PUNCT
ejpam-4662	416	1	√	√	NOUN
ejpam-4662	416	2	n	n	PRON
ejpam-4662	416	3	log	log	NOUN
ejpam-4662	416	4	(	(	PUNCT
ejpam-4662	416	5	x(n	x(n	NOUN
ejpam-4662	416	6	)	)	PUNCT
ejpam-4662	416	7	√	√	NUM
ejpam-4662	416	8	n	n	NUM
ejpam-4662	416	9	)	)	PUNCT
ejpam-4662	416	10	=	=	SYM
ejpam-4662	416	11	1	1	NUM
ejpam-4662	416	12	2	2	NUM
ejpam-4662	416	13	s∗	s∗	PROPN
ejpam-4662	416	14	n	n	PROPN
ejpam-4662	416	15	+	+	NOUN
ejpam-4662	416	16	op(n	op(n	NOUN
ejpam-4662	416	17	−1/2	−1/2	ADJ
ejpam-4662	416	18	)	)	PUNCT
ejpam-4662	417	1	=	=	SYM
ejpam-4662	417	2	1	1	NUM
ejpam-4662	417	3	2	2	NUM
ejpam-4662	417	4	w	w	NOUN
ejpam-4662	417	5	∗	∗	NOUN
ejpam-4662	417	6	n	n	X
ejpam-4662	417	7	+	+	NOUN
ejpam-4662	417	8	op(cn	op(cn	NOUN
ejpam-4662	417	9	)	)	PUNCT
ejpam-4662	417	10	→	→	SYM
ejpam-4662	417	11	n	n	CCONJ
ejpam-4662	417	12	(	(	PUNCT
ejpam-4662	417	13	0	0	NUM
ejpam-4662	417	14	,	,	PUNCT
ejpam-4662	417	15	1/4	1/4	NUM
ejpam-4662	417	16	)	)	PUNCT
ejpam-4662	417	17	.	.	PUNCT
ejpam-4662	418	1	(	(	PUNCT
ejpam-4662	418	2	39	39	NUM
ejpam-4662	418	3	)	)	PUNCT
ejpam-4662	418	4	we	we	PRON
ejpam-4662	418	5	also	also	ADV
ejpam-4662	418	6	have	have	VERB
ejpam-4662	418	7	s.	s.	PROPN
ejpam-4662	418	8	dembele	dembele	PROPN
ejpam-4662	418	9	et	et	PROPN
ejpam-4662	418	10	al	al	PROPN
ejpam-4662	418	11	.	.	PUNCT
ejpam-4662	418	12	/	/	SYM
ejpam-4662	418	13	eur	eur	PROPN
ejpam-4662	418	14	.	.	PUNCT
ejpam-4662	419	1	j.	j.	PROPN
ejpam-4662	419	2	pure	pure	PROPN
ejpam-4662	419	3	appl	appl	PROPN
ejpam-4662	419	4	.	.	PROPN
ejpam-4662	419	5	math	math	PROPN
ejpam-4662	419	6	,	,	PUNCT
ejpam-4662	419	7	16	16	NUM
ejpam-4662	419	8	(	(	PUNCT
ejpam-4662	419	9	1	1	NUM
ejpam-4662	419	10	)	)	PUNCT
ejpam-4662	419	11	(	(	PUNCT
ejpam-4662	419	12	2023	2023	NUM
ejpam-4662	419	13	)	)	PUNCT
ejpam-4662	419	14	,	,	PUNCT
ejpam-4662	419	15	609	609	NUM
ejpam-4662	419	16	-	-	SYM
ejpam-4662	419	17	656	656	NUM
ejpam-4662	419	18	629	629	NUM
ejpam-4662	419	19	(	(	PUNCT
ejpam-4662	419	20	log	log	NOUN
ejpam-4662	419	21	r	r	NOUN
ejpam-4662	419	22	+	+	NOUN
ejpam-4662	419	23	n)2	n)2	PROPN
ejpam-4662	419	24	(	(	PUNCT
ejpam-4662	419	25	x(n)−	x(n)−	PROPN
ejpam-4662	419	26	(	(	PUNCT
ejpam-4662	419	27	−	−	PROPN
ejpam-4662	419	28	log	log	NOUN
ejpam-4662	419	29	(	(	PUNCT
ejpam-4662	419	30	(	(	PUNCT
ejpam-4662	419	31	1−	1−	NUM
ejpam-4662	419	32	e−n)−1	e−n)−1	NOUN
ejpam-4662	419	33	/	/	SYM
ejpam-4662	419	34	r	r	NOUN
ejpam-4662	419	35	−	−	NOUN
ejpam-4662	419	36	1	1	NUM
ejpam-4662	419	37	)	)	PUNCT
ejpam-4662	419	38	)	)	PUNCT
ejpam-4662	419	39	1/2	1/2	NUM
ejpam-4662	419	40	)	)	PUNCT
ejpam-4662	419	41	√	√	PROPN
ejpam-4662	419	42	n	n	NOUN
ejpam-4662	419	43	=	=	SYM
ejpam-4662	419	44	sn	sn	PROPN
ejpam-4662	419	45	∗	∗	VERB
ejpam-4662	419	46	+	+	PROPN
ejpam-4662	419	47	op(n	op(n	NOUN
ejpam-4662	419	48	−1/2	−1/2	ADJ
ejpam-4662	419	49	)	)	PUNCT
ejpam-4662	420	1	=	=	SYM
ejpam-4662	421	1	w	w	NOUN
ejpam-4662	421	2	∗	∗	NOUN
ejpam-4662	421	3	n	n	X
ejpam-4662	421	4	+	+	NOUN
ejpam-4662	421	5	op(cn	op(cn	NOUN
ejpam-4662	421	6	)	)	PUNCT
ejpam-4662	421	7	→	→	SYM
ejpam-4662	421	8	n	n	CCONJ
ejpam-4662	421	9	(	(	PUNCT
ejpam-4662	421	10	0	0	NUM
ejpam-4662	421	11	,	,	PUNCT
ejpam-4662	421	12	1	1	NUM
ejpam-4662	421	13	)	)	PUNCT
ejpam-4662	421	14	.	.	PUNCT
ejpam-4662	422	1	(	(	PUNCT
ejpam-4662	422	2	xaalt	xaalt	NOUN
ejpam-4662	422	3	)	)	PUNCT
ejpam-4662	422	4	proofs	proof	NOUN
ejpam-4662	422	5	.	.	PUNCT
ejpam-4662	423	1	as	as	SCONJ
ejpam-4662	423	2	announced	announce	VERB
ejpam-4662	423	3	,	,	PUNCT
ejpam-4662	423	4	we	we	PRON
ejpam-4662	423	5	are	be	AUX
ejpam-4662	423	6	going	go	VERB
ejpam-4662	423	7	to	to	PART
ejpam-4662	423	8	provide	provide	VERB
ejpam-4662	423	9	the	the	DET
ejpam-4662	423	10	full	full	ADJ
ejpam-4662	423	11	proof	proof	NOUN
ejpam-4662	423	12	of	of	ADP
ejpam-4662	423	13	one	one	NUM
ejpam-4662	423	14	case	case	NOUN
ejpam-4662	423	15	in	in	ADP
ejpam-4662	423	16	which	which	PRON
ejpam-4662	423	17	one	one	NUM
ejpam-4662	423	18	the	the	DET
ejpam-4662	423	19	four	four	NUM
ejpam-4662	423	20	arguments	argument	NOUN
ejpam-4662	423	21	is	be	AUX
ejpam-4662	423	22	applied	apply	VERB
ejpam-4662	423	23	.	.	PUNCT
ejpam-4662	424	1	but	but	CCONJ
ejpam-4662	424	2	for	for	ADP
ejpam-4662	424	3	cases	case	NOUN
ejpam-4662	424	4	corresponding	correspond	VERB
ejpam-4662	424	5	to	to	ADP
ejpam-4662	424	6	burr	burr	PROPN
ejpam-4662	424	7	cdf	cdf	PROPN
ejpam-4662	424	8	’s	’	VERB
ejpam-4662	424	9	attracted	attract	VERB
ejpam-4662	424	10	to	to	ADP
ejpam-4662	424	11	d(g0	d(g0	NOUN
ejpam-4662	424	12	)	)	PUNCT
ejpam-4662	424	13	with	with	ADP
ejpam-4662	424	14	s(u	s(u	PROPN
ejpam-4662	424	15	)	)	PUNCT
ejpam-4662	424	16	→	→	SYM
ejpam-4662	424	17	0	0	PUNCT
ejpam-4662	425	1	as	as	ADP
ejpam-4662	425	2	u	u	NOUN
ejpam-4662	425	3	→	→	SYM
ejpam-4662	425	4	0	0	NUM
ejpam-4662	425	5	(	(	PUNCT
ejpam-4662	425	6	burr	burr	PROPN
ejpam-4662	425	7	v	v	PROPN
ejpam-4662	425	8	,	,	PUNCT
ejpam-4662	425	9	burr	burr	PROPN
ejpam-4662	425	10	vi	vi	PROPN
ejpam-4662	425	11	,	,	PUNCT
ejpam-4662	425	12	burr	burr	NOUN
ejpam-4662	425	13	x	x	PROPN
ejpam-4662	425	14	,	,	PUNCT
ejpam-4662	425	15	burr	burr	PROPN
ejpam-4662	425	16	xa	xa	PROPN
ejpam-4662	425	17	)	)	PUNCT
ejpam-4662	425	18	,	,	PUNCT
ejpam-4662	425	19	it	it	PRON
ejpam-4662	425	20	is	be	AUX
ejpam-4662	425	21	easier	easy	ADJ
ejpam-4662	425	22	to	to	PART
ejpam-4662	425	23	draw	draw	VERB
ejpam-4662	425	24	the	the	DET
ejpam-4662	425	25	asymptotic	asymptotic	ADJ
ejpam-4662	425	26	law	law	NOUN
ejpam-4662	425	27	of	of	ADP
ejpam-4662	425	28	record	record	NOUN
ejpam-4662	425	29	values	value	NOUN
ejpam-4662	425	30	directly	directly	ADV
ejpam-4662	425	31	from	from	ADP
ejpam-4662	425	32	the	the	DET
ejpam-4662	425	33	quantile	quantile	ADJ
ejpam-4662	425	34	function	function	NOUN
ejpam-4662	425	35	expansions	expansion	NOUN
ejpam-4662	425	36	which	which	PRON
ejpam-4662	425	37	are	be	AUX
ejpam-4662	425	38	formulas	formula	NOUN
ejpam-4662	425	39	(	(	PUNCT
ejpam-4662	425	40	25	25	NUM
ejpam-4662	425	41	)	)	PUNCT
ejpam-4662	425	42	,	,	PUNCT
ejpam-4662	425	43	(	(	PUNCT
ejpam-4662	425	44	27	27	NUM
ejpam-4662	425	45	)	)	PUNCT
ejpam-4662	425	46	,	,	PUNCT
ejpam-4662	425	47	(	(	PUNCT
ejpam-4662	425	48	33	33	NUM
ejpam-4662	425	49	)	)	PUNCT
ejpam-4662	425	50	and	and	CCONJ
ejpam-4662	425	51	(	(	PUNCT
ejpam-4662	425	52	39	39	NUM
ejpam-4662	425	53	)	)	PUNCT
ejpam-4662	425	54	respectively	respectively	ADV
ejpam-4662	425	55	.	.	PUNCT
ejpam-4662	426	1	we	we	PRON
ejpam-4662	426	2	begin	begin	VERB
ejpam-4662	426	3	by	by	ADP
ejpam-4662	426	4	giving	give	VERB
ejpam-4662	426	5	the	the	DET
ejpam-4662	426	6	outlines	outline	NOUN
ejpam-4662	426	7	of	of	ADP
ejpam-4662	426	8	the	the	DET
ejpam-4662	426	9	proofs	proof	NOUN
ejpam-4662	426	10	using	use	VERB
ejpam-4662	426	11	one	one	NUM
ejpam-4662	426	12	of	of	ADP
ejpam-4662	426	13	the	the	DET
ejpam-4662	426	14	three	three	NUM
ejpam-4662	426	15	points	point	NOUN
ejpam-4662	426	16	(	(	PUNCT
ejpam-4662	426	17	a	a	DET
ejpam-4662	426	18	,	,	PUNCT
ejpam-4662	426	19	c	c	NOUN
ejpam-4662	426	20	,	,	PUNCT
ejpam-4662	426	21	d	d	NOUN
ejpam-4662	426	22	)	)	PUNCT
ejpam-4662	426	23	of	of	ADP
ejpam-4662	426	24	theorems	theorem	NOUN
ejpam-4662	426	25	1	1	NUM
ejpam-4662	426	26	and/or	and/or	CCONJ
ejpam-4662	426	27	3	3	NUM
ejpam-4662	426	28	.	.	PUNCT
ejpam-4662	427	1	next	next	ADV
ejpam-4662	427	2	,	,	PUNCT
ejpam-4662	427	3	we	we	PRON
ejpam-4662	427	4	give	give	VERB
ejpam-4662	427	5	the	the	DET
ejpam-4662	427	6	direct	direct	ADJ
ejpam-4662	427	7	proofs	proof	NOUN
ejpam-4662	427	8	for	for	ADP
ejpam-4662	427	9	burr	burr	NOUN
ejpam-4662	427	10	cdf	cdf	PROPN
ejpam-4662	427	11	’s	’	VERB
ejpam-4662	427	12	attracted	attract	VERB
ejpam-4662	427	13	to	to	ADP
ejpam-4662	427	14	d(g0	d(g0	NOUN
ejpam-4662	427	15	)	)	PUNCT
ejpam-4662	427	16	with	with	ADP
ejpam-4662	427	17	s(u	s(u	PROPN
ejpam-4662	427	18	)	)	PUNCT
ejpam-4662	427	19	→	→	SYM
ejpam-4662	427	20	0	0	PUNCT
ejpam-4662	427	21	as	as	ADP
ejpam-4662	427	22	u	u	NOUN
ejpam-4662	427	23	→	→	SYM
ejpam-4662	427	24	0	0	NUM
ejpam-4662	427	25	.	.	PUNCT
ejpam-4662	428	1	however	however	ADV
ejpam-4662	428	2	,	,	PUNCT
ejpam-4662	428	3	in	in	ADP
ejpam-4662	428	4	appendix	appendix	PROPN
ejpam-4662	428	5	(	(	PUNCT
ejpam-4662	428	6	a1	a1	NOUN
ejpam-4662	428	7	)	)	PUNCT
ejpam-4662	428	8	,	,	PUNCT
ejpam-4662	428	9	page	page	NOUN
ejpam-4662	428	10	651	651	NUM
ejpam-4662	428	11	,	,	PUNCT
ejpam-4662	428	12	we	we	PRON
ejpam-4662	428	13	will	will	AUX
ejpam-4662	428	14	give	give	VERB
ejpam-4662	428	15	alternative	alternative	ADJ
ejpam-4662	428	16	forms	form	NOUN
ejpam-4662	428	17	of	of	ADP
ejpam-4662	428	18	the	the	DET
ejpam-4662	428	19	asymptotic	asymptotic	ADJ
ejpam-4662	428	20	laws	law	NOUN
ejpam-4662	428	21	of	of	ADP
ejpam-4662	428	22	record	record	NOUN
ejpam-4662	428	23	values	value	NOUN
ejpam-4662	428	24	derived	derive	VERB
ejpam-4662	428	25	form	form	NOUN
ejpam-4662	428	26	theorem	theorem	VERB
ejpam-4662	428	27	4	4	NUM
ejpam-4662	428	28	corresponding	correspond	VERB
ejpam-4662	428	29	to	to	ADP
ejpam-4662	428	30	formulas	formula	NOUN
ejpam-4662	428	31	(	(	PUNCT
ejpam-4662	428	32	valt	valt	NOUN
ejpam-4662	428	33	)	)	PUNCT
ejpam-4662	428	34	,	,	PUNCT
ejpam-4662	428	35	(	(	PUNCT
ejpam-4662	428	36	vialt	vialt	NOUN
ejpam-4662	428	37	)	)	PUNCT
ejpam-4662	428	38	,	,	PUNCT
ejpam-4662	428	39	(	(	PUNCT
ejpam-4662	428	40	xalt	xalt	VERB
ejpam-4662	428	41	)	)	PUNCT
ejpam-4662	428	42	and	and	CCONJ
ejpam-4662	428	43	(	(	PUNCT
ejpam-4662	428	44	xaalt	xaalt	NOUN
ejpam-4662	428	45	)	)	PUNCT
ejpam-4662	428	46	respectively	respectively	ADV
ejpam-4662	428	47	.	.	PUNCT
ejpam-4662	429	1	a	a	DET
ejpam-4662	429	2	proofs	proof	NOUN
ejpam-4662	429	3	based	base	VERB
ejpam-4662	429	4	on	on	ADP
ejpam-4662	429	5	direct	direct	ADJ
ejpam-4662	429	6	applications	application	NOUN
ejpam-4662	429	7	of	of	ADP
ejpam-4662	429	8	theorems	theorem	NOUN
ejpam-4662	429	9	1	1	NUM
ejpam-4662	429	10	and/or	and/or	CCONJ
ejpam-4662	429	11	3	3	NUM
ejpam-4662	429	12	and/or	and/or	CCONJ
ejpam-4662	429	13	4	4	NUM
ejpam-4662	429	14	.	.	PUNCT
ejpam-4662	429	15	burr	burr	PROPN
ejpam-4662	429	16	i.	i.	PROPN
ejpam-4662	429	17	we	we	PRON
ejpam-4662	429	18	have	have	VERB
ejpam-4662	429	19	uep(f	uep(f	PROPN
ejpam-4662	429	20	)	)	PUNCT
ejpam-4662	430	1	=	=	PUNCT
ejpam-4662	430	2	1	1	X
ejpam-4662	430	3	.	.	PUNCT
ejpam-4662	431	1	next	next	ADV
ejpam-4662	431	2	,	,	PUNCT
ejpam-4662	431	3	by	by	ADP
ejpam-4662	431	4	part	part	NOUN
ejpam-4662	431	5	(	(	PUNCT
ejpam-4662	431	6	b	b	NOUN
ejpam-4662	431	7	)	)	PUNCT
ejpam-4662	431	8	of	of	ADP
ejpam-4662	431	9	proposition	proposition	NOUN
ejpam-4662	431	10	3	3	NUM
ejpam-4662	431	11	,	,	PUNCT
ejpam-4662	431	12	we	we	PRON
ejpam-4662	431	13	have	have	VERB
ejpam-4662	431	14	f	f	PROPN
ejpam-4662	431	15	∈	∈	PROPN
ejpam-4662	431	16	d(gγ	d(gγ	PROPN
ejpam-4662	431	17	)	)	PUNCT
ejpam-4662	431	18	for	for	ADP
ejpam-4662	431	19	γ	γ	X
ejpam-4662	431	20	=	=	SYM
ejpam-4662	431	21	−1	−1	NOUN
ejpam-4662	431	22	.	.	PUNCT
ejpam-4662	432	1	the	the	DET
ejpam-4662	432	2	asymptotic	asymptotic	ADJ
ejpam-4662	432	3	law	law	NOUN
ejpam-4662	432	4	of	of	ADP
ejpam-4662	432	5	the	the	DET
ejpam-4662	432	6	record	record	NOUN
ejpam-4662	432	7	values	value	NOUN
ejpam-4662	432	8	and	and	CCONJ
ejpam-4662	432	9	the	the	DET
ejpam-4662	432	10	rates	rate	NOUN
ejpam-4662	432	11	of	of	ADP
ejpam-4662	432	12	convergence	convergence	NOUN
ejpam-4662	432	13	follow	follow	VERB
ejpam-4662	432	14	from	from	ADP
ejpam-4662	432	15	parts	part	NOUN
ejpam-4662	432	16	(	(	PUNCT
ejpam-4662	432	17	c	c	NOUN
ejpam-4662	432	18	)	)	PUNCT
ejpam-4662	432	19	of	of	ADP
ejpam-4662	432	20	theorems	theorem	NOUN
ejpam-4662	432	21	1	1	NUM
ejpam-4662	432	22	and	and	CCONJ
ejpam-4662	432	23	3	3	NUM
ejpam-4662	432	24	.	.	PUNCT
ejpam-4662	432	25	burr	burr	PROPN
ejpam-4662	432	26	ii	ii	PROPN
ejpam-4662	432	27	.	.	PUNCT
ejpam-4662	433	1	we	we	PRON
ejpam-4662	433	2	have	have	VERB
ejpam-4662	433	3	uep(f	uep(f	PROPN
ejpam-4662	433	4	)	)	PUNCT
ejpam-4662	434	1	=	=	PUNCT
ejpam-4662	435	1	+	+	PUNCT
ejpam-4662	435	2	∞	∞	NUM
ejpam-4662	435	3	and	and	CCONJ
ejpam-4662	435	4	exp(f−1(1−	exp(f−1(1−	VERB
ejpam-4662	435	5	u	u	NOUN
ejpam-4662	435	6	)	)	PUNCT
ejpam-4662	435	7	)	)	PUNCT
ejpam-4662	436	1	=	=	PUNCT
ejpam-4662	436	2	ru−1(1	ru−1(1	ADV
ejpam-4662	436	3	+	+	CCONJ
ejpam-4662	436	4	o(u	o(u	ADJ
ejpam-4662	436	5	)	)	PUNCT
ejpam-4662	436	6	)	)	PUNCT
ejpam-4662	436	7	,	,	PUNCT
ejpam-4662	436	8	u	u	NOUN
ejpam-4662	436	9	∈]0	∈]0	ADJ
ejpam-4662	436	10	,	,	PUNCT
ejpam-4662	436	11	1	1	NUM
ejpam-4662	436	12	[	[	NOUN
ejpam-4662	436	13	.	.	PUNCT
ejpam-4662	437	1	by	by	ADP
ejpam-4662	437	2	part	part	NOUN
ejpam-4662	437	3	(	(	PUNCT
ejpam-4662	437	4	a	a	NOUN
ejpam-4662	437	5	)	)	PUNCT
ejpam-4662	437	6	of	of	ADP
ejpam-4662	437	7	proposition	proposition	NOUN
ejpam-4662	437	8	3	3	NUM
ejpam-4662	437	9	,	,	PUNCT
ejpam-4662	437	10	exp(x	exp(x	PROPN
ejpam-4662	437	11	)	)	PUNCT
ejpam-4662	437	12	with	with	ADP
ejpam-4662	437	13	cdf	cdf	PROPN
ejpam-4662	437	14	f	f	PROPN
ejpam-4662	437	15	∈	∈	PROPN
ejpam-4662	437	16	d(gγ	d(gγ	PROPN
ejpam-4662	437	17	)	)	PUNCT
ejpam-4662	437	18	for	for	ADP
ejpam-4662	437	19	γ	γ	X
ejpam-4662	437	20	=	=	SYM
ejpam-4662	437	21	1	1	NUM
ejpam-4662	437	22	.	.	PUNCT
ejpam-4662	438	1	so	so	ADV
ejpam-4662	438	2	,	,	PUNCT
ejpam-4662	438	3	by	by	ADP
ejpam-4662	438	4	proposition	proposition	NOUN
ejpam-4662	438	5	1	1	NUM
ejpam-4662	438	6	,	,	PUNCT
ejpam-4662	438	7	f	f	PROPN
ejpam-4662	438	8	∈	∈	PROPN
ejpam-4662	438	9	d(g0	d(g0	NOUN
ejpam-4662	438	10	)	)	PUNCT
ejpam-4662	438	11	.	.	PUNCT
ejpam-4662	439	1	the	the	DET
ejpam-4662	439	2	asymptotic	asymptotic	ADJ
ejpam-4662	439	3	law	law	NOUN
ejpam-4662	439	4	of	of	ADP
ejpam-4662	439	5	the	the	DET
ejpam-4662	439	6	record	record	NOUN
ejpam-4662	439	7	values	value	NOUN
ejpam-4662	439	8	and	and	CCONJ
ejpam-4662	439	9	the	the	DET
ejpam-4662	439	10	rates	rate	NOUN
ejpam-4662	439	11	of	of	ADP
ejpam-4662	439	12	convergence	convergence	NOUN
ejpam-4662	439	13	follow	follow	VERB
ejpam-4662	439	14	from	from	ADP
ejpam-4662	439	15	theorems	theorem	NOUN
ejpam-4662	439	16	1	1	NUM
ejpam-4662	439	17	and	and	CCONJ
ejpam-4662	439	18	3	3	NUM
ejpam-4662	439	19	.	.	PUNCT
ejpam-4662	439	20	burr	burr	PROPN
ejpam-4662	439	21	iii	iii	PROPN
ejpam-4662	439	22	.	.	PUNCT
ejpam-4662	440	1	we	we	PRON
ejpam-4662	440	2	have	have	VERB
ejpam-4662	440	3	uep(f	uep(f	PROPN
ejpam-4662	440	4	)	)	PUNCT
ejpam-4662	441	1	=	=	PUNCT
ejpam-4662	442	1	+	+	NUM
ejpam-4662	442	2	∞.	∞.	PROPN
ejpam-4662	442	3	next	next	ADV
ejpam-4662	442	4	,	,	PUNCT
ejpam-4662	442	5	by	by	ADP
ejpam-4662	442	6	part	part	NOUN
ejpam-4662	442	7	(	(	PUNCT
ejpam-4662	442	8	a	a	NOUN
ejpam-4662	442	9	)	)	PUNCT
ejpam-4662	442	10	of	of	ADP
ejpam-4662	442	11	proposition	proposition	NOUN
ejpam-4662	442	12	3	3	NUM
ejpam-4662	442	13	,	,	PUNCT
ejpam-4662	442	14	we	we	PRON
ejpam-4662	442	15	have	have	VERB
ejpam-4662	442	16	f	f	PROPN
ejpam-4662	442	17	∈	∈	PROPN
ejpam-4662	442	18	d(gγ	d(gγ	PROPN
ejpam-4662	442	19	)	)	PUNCT
ejpam-4662	442	20	for	for	ADP
ejpam-4662	442	21	γ	γ	X
ejpam-4662	442	22	=	=	SYM
ejpam-4662	442	23	1	1	NUM
ejpam-4662	442	24	/	/	SYM
ejpam-4662	442	25	k.	k.	NOUN
ejpam-4662	442	26	the	the	DET
ejpam-4662	442	27	asymptotic	asymptotic	ADJ
ejpam-4662	442	28	law	law	NOUN
ejpam-4662	442	29	of	of	ADP
ejpam-4662	442	30	the	the	DET
ejpam-4662	442	31	record	record	NOUN
ejpam-4662	442	32	values	value	NOUN
ejpam-4662	442	33	and	and	CCONJ
ejpam-4662	442	34	the	the	DET
ejpam-4662	442	35	rates	rate	NOUN
ejpam-4662	442	36	of	of	ADP
ejpam-4662	442	37	convergence	convergence	NOUN
ejpam-4662	442	38	follow	follow	VERB
ejpam-4662	442	39	from	from	ADP
ejpam-4662	442	40	parts	part	NOUN
ejpam-4662	442	41	(	(	PUNCT
ejpam-4662	442	42	a	a	NOUN
ejpam-4662	442	43	)	)	PUNCT
ejpam-4662	442	44	of	of	ADP
ejpam-4662	442	45	theorems	theorem	NOUN
ejpam-4662	442	46	1	1	NUM
ejpam-4662	442	47	and	and	CCONJ
ejpam-4662	442	48	3	3	NUM
ejpam-4662	442	49	.	.	X
ejpam-4662	442	50	burr	burr	NOUN
ejpam-4662	442	51	iv	iv	PROPN
ejpam-4662	442	52	.	.	PUNCT
ejpam-4662	443	1	we	we	PRON
ejpam-4662	443	2	have	have	VERB
ejpam-4662	443	3	uep(f	uep(f	PROPN
ejpam-4662	443	4	)	)	PUNCT
ejpam-4662	444	1	=	=	SYM
ejpam-4662	444	2	c.	c.	PROPN
ejpam-4662	444	3	next	next	ADV
ejpam-4662	444	4	,	,	PUNCT
ejpam-4662	444	5	by	by	ADP
ejpam-4662	444	6	part	part	NOUN
ejpam-4662	444	7	(	(	PUNCT
ejpam-4662	444	8	b	b	NOUN
ejpam-4662	444	9	)	)	PUNCT
ejpam-4662	444	10	of	of	ADP
ejpam-4662	444	11	proposition	proposition	NOUN
ejpam-4662	444	12	3	3	NUM
ejpam-4662	444	13	,	,	PUNCT
ejpam-4662	444	14	we	we	PRON
ejpam-4662	444	15	have	have	VERB
ejpam-4662	444	16	f	f	PROPN
ejpam-4662	444	17	∈	∈	PROPN
ejpam-4662	444	18	d(gγ	d(gγ	PROPN
ejpam-4662	444	19	)	)	PUNCT
ejpam-4662	444	20	for	for	ADP
ejpam-4662	444	21	γ	γ	X
ejpam-4662	444	22	=	=	SYM
ejpam-4662	444	23	−c	−c	NOUN
ejpam-4662	444	24	.	.	PUNCT
ejpam-4662	445	1	the	the	DET
ejpam-4662	445	2	asymptotic	asymptotic	ADJ
ejpam-4662	445	3	law	law	NOUN
ejpam-4662	445	4	of	of	ADP
ejpam-4662	445	5	the	the	DET
ejpam-4662	445	6	record	record	NOUN
ejpam-4662	445	7	values	value	NOUN
ejpam-4662	445	8	and	and	CCONJ
ejpam-4662	445	9	the	the	DET
ejpam-4662	445	10	rates	rate	NOUN
ejpam-4662	445	11	of	of	ADP
ejpam-4662	445	12	convergence	convergence	NOUN
ejpam-4662	445	13	follow	follow	VERB
ejpam-4662	445	14	s.	s.	PROPN
ejpam-4662	445	15	dembele	dembele	PROPN
ejpam-4662	445	16	et	et	PROPN
ejpam-4662	445	17	al	al	PROPN
ejpam-4662	445	18	.	.	PUNCT
ejpam-4662	445	19	/	/	SYM
ejpam-4662	445	20	eur	eur	PROPN
ejpam-4662	445	21	.	.	PUNCT
ejpam-4662	446	1	j.	j.	PROPN
ejpam-4662	446	2	pure	pure	PROPN
ejpam-4662	446	3	appl	appl	PROPN
ejpam-4662	446	4	.	.	PROPN
ejpam-4662	446	5	math	math	PROPN
ejpam-4662	446	6	,	,	PUNCT
ejpam-4662	446	7	16	16	NUM
ejpam-4662	446	8	(	(	PUNCT
ejpam-4662	446	9	1	1	NUM
ejpam-4662	446	10	)	)	PUNCT
ejpam-4662	446	11	(	(	PUNCT
ejpam-4662	446	12	2023	2023	NUM
ejpam-4662	446	13	)	)	PUNCT
ejpam-4662	446	14	,	,	PUNCT
ejpam-4662	446	15	609	609	NUM
ejpam-4662	446	16	-	-	SYM
ejpam-4662	446	17	656	656	NUM
ejpam-4662	446	18	630	630	NUM
ejpam-4662	446	19	from	from	ADP
ejpam-4662	446	20	parts	part	NOUN
ejpam-4662	446	21	(	(	PUNCT
ejpam-4662	446	22	b	b	NOUN
ejpam-4662	446	23	)	)	PUNCT
ejpam-4662	446	24	of	of	ADP
ejpam-4662	446	25	theorems	theorem	NOUN
ejpam-4662	446	26	1	1	NUM
ejpam-4662	446	27	and	and	CCONJ
ejpam-4662	446	28	3	3	NUM
ejpam-4662	446	29	.	.	X
ejpam-4662	447	1	burr	burr	PROPN
ejpam-4662	447	2	v.	v.	PROPN
ejpam-4662	447	3	see	see	VERB
ejpam-4662	447	4	part	part	NOUN
ejpam-4662	447	5	b	b	NOUN
ejpam-4662	447	6	below	below	ADV
ejpam-4662	447	7	.	.	PUNCT
ejpam-4662	448	1	burr	burr	PROPN
ejpam-4662	448	2	vi	vi	PROPN
ejpam-4662	448	3	.	.	PROPN
ejpam-4662	448	4	see	see	VERB
ejpam-4662	448	5	part	part	NOUN
ejpam-4662	448	6	b	b	NOUN
ejpam-4662	448	7	below	below	ADV
ejpam-4662	448	8	.	.	PUNCT
ejpam-4662	449	1	burr	burr	PROPN
ejpam-4662	449	2	vii	vii	PROPN
ejpam-4662	449	3	.	.	PUNCT
ejpam-4662	450	1	by	by	ADP
ejpam-4662	450	2	part	part	NOUN
ejpam-4662	450	3	(	(	PUNCT
ejpam-4662	450	4	a	a	NOUN
ejpam-4662	450	5	)	)	PUNCT
ejpam-4662	450	6	of	of	ADP
ejpam-4662	450	7	proposition	proposition	NOUN
ejpam-4662	450	8	3	3	NUM
ejpam-4662	450	9	,	,	PUNCT
ejpam-4662	450	10	exp(x	exp(x	PROPN
ejpam-4662	450	11	)	)	PUNCT
ejpam-4662	450	12	with	with	ADP
ejpam-4662	450	13	cdf	cdf	PROPN
ejpam-4662	450	14	f	f	PROPN
ejpam-4662	450	15	∈	∈	PROPN
ejpam-4662	450	16	d(gγ	d(gγ	PROPN
ejpam-4662	450	17	)	)	PUNCT
ejpam-4662	450	18	for	for	ADP
ejpam-4662	450	19	γ	γ	X
ejpam-4662	450	20	=	=	SYM
ejpam-4662	450	21	1/2	1/2	NUM
ejpam-4662	450	22	.	.	PUNCT
ejpam-4662	451	1	so	so	ADV
ejpam-4662	451	2	,	,	PUNCT
ejpam-4662	451	3	by	by	ADP
ejpam-4662	451	4	proposition	proposition	NOUN
ejpam-4662	451	5	1	1	NUM
ejpam-4662	451	6	,	,	PUNCT
ejpam-4662	451	7	f	f	PROPN
ejpam-4662	451	8	∈	∈	PROPN
ejpam-4662	451	9	d(g0	d(g0	NOUN
ejpam-4662	451	10	)	)	PUNCT
ejpam-4662	451	11	.	.	PUNCT
ejpam-4662	452	1	the	the	DET
ejpam-4662	452	2	asymptotic	asymptotic	ADJ
ejpam-4662	452	3	law	law	NOUN
ejpam-4662	452	4	of	of	ADP
ejpam-4662	452	5	the	the	DET
ejpam-4662	452	6	record	record	NOUN
ejpam-4662	452	7	values	value	NOUN
ejpam-4662	452	8	and	and	CCONJ
ejpam-4662	452	9	the	the	DET
ejpam-4662	452	10	rates	rate	NOUN
ejpam-4662	452	11	of	of	ADP
ejpam-4662	452	12	convergence	convergence	NOUN
ejpam-4662	452	13	follow	follow	VERB
ejpam-4662	452	14	from	from	ADP
ejpam-4662	452	15	parts	part	NOUN
ejpam-4662	452	16	(	(	PUNCT
ejpam-4662	452	17	b	b	NOUN
ejpam-4662	452	18	)	)	PUNCT
ejpam-4662	452	19	in	in	ADP
ejpam-4662	452	20	theorems	theorem	NOUN
ejpam-4662	452	21	1	1	NUM
ejpam-4662	452	22	and	and	CCONJ
ejpam-4662	452	23	3	3	NUM
ejpam-4662	452	24	.	.	X
ejpam-4662	452	25	burr	burr	PROPN
ejpam-4662	452	26	viii	viii	PROPN
ejpam-4662	452	27	.	.	PUNCT
ejpam-4662	453	1	by	by	ADP
ejpam-4662	453	2	part	part	NOUN
ejpam-4662	453	3	(	(	PUNCT
ejpam-4662	453	4	a	a	NOUN
ejpam-4662	453	5	)	)	PUNCT
ejpam-4662	453	6	of	of	ADP
ejpam-4662	453	7	proposition	proposition	NOUN
ejpam-4662	453	8	3	3	NUM
ejpam-4662	453	9	,	,	PUNCT
ejpam-4662	453	10	exp(x	exp(x	PROPN
ejpam-4662	453	11	)	)	PUNCT
ejpam-4662	453	12	with	with	ADP
ejpam-4662	453	13	cdf	cdf	PROPN
ejpam-4662	453	14	f	f	PROPN
ejpam-4662	453	15	∈	∈	PROPN
ejpam-4662	453	16	d(gγ	d(gγ	PROPN
ejpam-4662	453	17	)	)	PUNCT
ejpam-4662	453	18	for	for	ADP
ejpam-4662	453	19	γ	γ	X
ejpam-4662	453	20	=	=	SYM
ejpam-4662	453	21	1	1	NUM
ejpam-4662	453	22	.	.	PUNCT
ejpam-4662	454	1	so	so	ADV
ejpam-4662	454	2	,	,	PUNCT
ejpam-4662	454	3	by	by	ADP
ejpam-4662	454	4	proposition	proposition	NOUN
ejpam-4662	454	5	1	1	NUM
ejpam-4662	454	6	,	,	PUNCT
ejpam-4662	454	7	f	f	PROPN
ejpam-4662	454	8	∈	∈	PROPN
ejpam-4662	454	9	d(g0	d(g0	NOUN
ejpam-4662	454	10	)	)	PUNCT
ejpam-4662	454	11	.	.	PUNCT
ejpam-4662	455	1	the	the	DET
ejpam-4662	455	2	asymptotic	asymptotic	ADJ
ejpam-4662	455	3	law	law	NOUN
ejpam-4662	455	4	of	of	ADP
ejpam-4662	455	5	the	the	DET
ejpam-4662	455	6	record	record	NOUN
ejpam-4662	455	7	values	value	NOUN
ejpam-4662	455	8	and	and	CCONJ
ejpam-4662	455	9	the	the	DET
ejpam-4662	455	10	rates	rate	NOUN
ejpam-4662	455	11	of	of	ADP
ejpam-4662	455	12	convergence	convergence	NOUN
ejpam-4662	455	13	follow	follow	VERB
ejpam-4662	455	14	from	from	ADP
ejpam-4662	455	15	parts	part	NOUN
ejpam-4662	455	16	(	(	PUNCT
ejpam-4662	455	17	b	b	NOUN
ejpam-4662	455	18	)	)	PUNCT
ejpam-4662	455	19	in	in	ADP
ejpam-4662	455	20	theorems	theorem	NOUN
ejpam-4662	455	21	1	1	NUM
ejpam-4662	455	22	and	and	CCONJ
ejpam-4662	455	23	3	3	NUM
ejpam-4662	455	24	.	.	X
ejpam-4662	456	1	burr	burr	PROPN
ejpam-4662	456	2	ix	ix	PROPN
ejpam-4662	456	3	.	.	PUNCT
ejpam-4662	457	1	by	by	ADP
ejpam-4662	457	2	part	part	NOUN
ejpam-4662	457	3	(	(	PUNCT
ejpam-4662	457	4	a	a	NOUN
ejpam-4662	457	5	)	)	PUNCT
ejpam-4662	457	6	of	of	ADP
ejpam-4662	457	7	proposition	proposition	NOUN
ejpam-4662	457	8	3	3	NUM
ejpam-4662	457	9	,	,	PUNCT
ejpam-4662	457	10	exp(x	exp(x	PROPN
ejpam-4662	457	11	)	)	PUNCT
ejpam-4662	457	12	with	with	ADP
ejpam-4662	457	13	cdf	cdf	PROPN
ejpam-4662	457	14	f	f	PROPN
ejpam-4662	457	15	∈	∈	PROPN
ejpam-4662	457	16	d(gγ	d(gγ	PROPN
ejpam-4662	457	17	)	)	PUNCT
ejpam-4662	457	18	for	for	ADP
ejpam-4662	457	19	γ	γ	X
ejpam-4662	457	20	=	=	SYM
ejpam-4662	457	21	1	1	NUM
ejpam-4662	457	22	/	/	SYM
ejpam-4662	457	23	r.	r.	PROPN
ejpam-4662	457	24	so	so	ADV
ejpam-4662	457	25	,	,	PUNCT
ejpam-4662	457	26	by	by	ADP
ejpam-4662	457	27	proposition	proposition	NOUN
ejpam-4662	457	28	1	1	NUM
ejpam-4662	457	29	,	,	PUNCT
ejpam-4662	457	30	f	f	PROPN
ejpam-4662	457	31	∈	∈	PROPN
ejpam-4662	457	32	d(g0	d(g0	NOUN
ejpam-4662	457	33	)	)	PUNCT
ejpam-4662	457	34	.	.	PUNCT
ejpam-4662	458	1	the	the	DET
ejpam-4662	458	2	asymptotic	asymptotic	ADJ
ejpam-4662	458	3	law	law	NOUN
ejpam-4662	458	4	of	of	ADP
ejpam-4662	458	5	the	the	DET
ejpam-4662	458	6	record	record	NOUN
ejpam-4662	458	7	values	value	NOUN
ejpam-4662	458	8	and	and	CCONJ
ejpam-4662	458	9	the	the	DET
ejpam-4662	458	10	rates	rate	NOUN
ejpam-4662	458	11	of	of	ADP
ejpam-4662	458	12	convergence	convergence	NOUN
ejpam-4662	458	13	follow	follow	VERB
ejpam-4662	458	14	from	from	ADP
ejpam-4662	458	15	parts	part	NOUN
ejpam-4662	458	16	(	(	PUNCT
ejpam-4662	458	17	b	b	NOUN
ejpam-4662	458	18	)	)	PUNCT
ejpam-4662	458	19	in	in	ADP
ejpam-4662	458	20	theorems	theorem	NOUN
ejpam-4662	458	21	1	1	NUM
ejpam-4662	458	22	and	and	CCONJ
ejpam-4662	458	23	3	3	NUM
ejpam-4662	458	24	.	.	X
ejpam-4662	459	1	burr	burr	PROPN
ejpam-4662	459	2	x.	x.	PROPN
ejpam-4662	459	3	see	see	VERB
ejpam-4662	459	4	part	part	NOUN
ejpam-4662	459	5	b	b	NOUN
ejpam-4662	459	6	below	below	ADV
ejpam-4662	459	7	.	.	PUNCT
ejpam-4662	460	1	burr	burr	NOUN
ejpam-4662	460	2	xi	xi	PROPN
ejpam-4662	460	3	.	.	PUNCT
ejpam-4662	461	1	we	we	PRON
ejpam-4662	461	2	have	have	VERB
ejpam-4662	461	3	uep(f	uep(f	PROPN
ejpam-4662	461	4	)	)	PUNCT
ejpam-4662	462	1	=	=	PUNCT
ejpam-4662	462	2	1	1	X
ejpam-4662	462	3	.	.	PUNCT
ejpam-4662	463	1	next	next	ADV
ejpam-4662	463	2	,	,	PUNCT
ejpam-4662	463	3	by	by	ADP
ejpam-4662	463	4	part	part	NOUN
ejpam-4662	463	5	(	(	PUNCT
ejpam-4662	463	6	b	b	NOUN
ejpam-4662	463	7	)	)	PUNCT
ejpam-4662	463	8	of	of	ADP
ejpam-4662	463	9	proposition	proposition	NOUN
ejpam-4662	463	10	3	3	NUM
ejpam-4662	463	11	,	,	PUNCT
ejpam-4662	463	12	we	we	PRON
ejpam-4662	463	13	have	have	VERB
ejpam-4662	463	14	f	f	PROPN
ejpam-4662	463	15	∈	∈	PROPN
ejpam-4662	463	16	d(gγ	d(gγ	PROPN
ejpam-4662	463	17	)	)	PUNCT
ejpam-4662	463	18	for	for	ADP
ejpam-4662	463	19	γ	γ	X
ejpam-4662	463	20	=	=	SYM
ejpam-4662	463	21	−1/3	−1/3	ADJ
ejpam-4662	463	22	.	.	PUNCT
ejpam-4662	464	1	the	the	DET
ejpam-4662	464	2	asymptotic	asymptotic	ADJ
ejpam-4662	464	3	law	law	NOUN
ejpam-4662	464	4	of	of	ADP
ejpam-4662	464	5	the	the	DET
ejpam-4662	464	6	record	record	NOUN
ejpam-4662	464	7	values	value	NOUN
ejpam-4662	464	8	and	and	CCONJ
ejpam-4662	464	9	the	the	DET
ejpam-4662	464	10	rates	rate	NOUN
ejpam-4662	464	11	of	of	ADP
ejpam-4662	464	12	convergence	convergence	NOUN
ejpam-4662	464	13	follow	follow	VERB
ejpam-4662	464	14	from	from	ADP
ejpam-4662	464	15	parts	part	NOUN
ejpam-4662	464	16	(	(	PUNCT
ejpam-4662	464	17	c	c	NOUN
ejpam-4662	464	18	)	)	PUNCT
ejpam-4662	464	19	of	of	ADP
ejpam-4662	464	20	theorems	theorem	NOUN
ejpam-4662	464	21	1	1	NUM
ejpam-4662	464	22	and	and	CCONJ
ejpam-4662	464	23	3	3	NUM
ejpam-4662	464	24	.	.	PUNCT
ejpam-4662	464	25	burr	burr	PROPN
ejpam-4662	464	26	xii	xii	PROPN
ejpam-4662	464	27	.	.	PUNCT
ejpam-4662	465	1	uep(f	uep(f	X
ejpam-4662	465	2	)	)	PUNCT
ejpam-4662	466	1	=	=	PUNCT
ejpam-4662	467	1	+	+	NUM
ejpam-4662	467	2	∞.	∞.	PROPN
ejpam-4662	467	3	next	next	ADV
ejpam-4662	467	4	,	,	PUNCT
ejpam-4662	467	5	by	by	ADP
ejpam-4662	467	6	part	part	NOUN
ejpam-4662	467	7	(	(	PUNCT
ejpam-4662	467	8	a	a	NOUN
ejpam-4662	467	9	)	)	PUNCT
ejpam-4662	467	10	of	of	ADP
ejpam-4662	467	11	proposition	proposition	NOUN
ejpam-4662	467	12	3	3	NUM
ejpam-4662	467	13	,	,	PUNCT
ejpam-4662	467	14	we	we	PRON
ejpam-4662	467	15	have	have	VERB
ejpam-4662	467	16	f	f	PROPN
ejpam-4662	467	17	∈	∈	PROPN
ejpam-4662	467	18	d(gγ	d(gγ	PROPN
ejpam-4662	467	19	)	)	PUNCT
ejpam-4662	467	20	for	for	ADP
ejpam-4662	467	21	γ	γ	X
ejpam-4662	467	22	=	=	SYM
ejpam-4662	467	23	1/(rc	1/(rc	NUM
ejpam-4662	467	24	)	)	PUNCT
ejpam-4662	467	25	.	.	PUNCT
ejpam-4662	468	1	the	the	DET
ejpam-4662	468	2	asymptotic	asymptotic	ADJ
ejpam-4662	468	3	law	law	NOUN
ejpam-4662	468	4	of	of	ADP
ejpam-4662	468	5	the	the	DET
ejpam-4662	468	6	record	record	NOUN
ejpam-4662	468	7	values	value	NOUN
ejpam-4662	468	8	and	and	CCONJ
ejpam-4662	468	9	the	the	DET
ejpam-4662	468	10	rates	rate	NOUN
ejpam-4662	468	11	of	of	ADP
ejpam-4662	468	12	convergence	convergence	NOUN
ejpam-4662	468	13	follow	follow	VERB
ejpam-4662	468	14	from	from	ADP
ejpam-4662	468	15	parts	part	NOUN
ejpam-4662	468	16	(	(	PUNCT
ejpam-4662	468	17	a	a	NOUN
ejpam-4662	468	18	)	)	PUNCT
ejpam-4662	468	19	of	of	ADP
ejpam-4662	468	20	theorems	theorem	NOUN
ejpam-4662	468	21	1	1	NUM
ejpam-4662	468	22	and	and	CCONJ
ejpam-4662	468	23	3	3	NUM
ejpam-4662	468	24	.	.	X
ejpam-4662	468	25	burr	burr	PROPN
ejpam-4662	468	26	xa	xa	PROPN
ejpam-4662	468	27	.	.	PROPN
ejpam-4662	469	1	see	see	VERB
ejpam-4662	469	2	part	part	NOUN
ejpam-4662	469	3	b	b	ADV
ejpam-4662	469	4	below	below	ADV
ejpam-4662	469	5	.	.	PUNCT
ejpam-4662	470	1	b	b	NOUN
ejpam-4662	470	2	proofs	proof	NOUN
ejpam-4662	470	3	using	use	VERB
ejpam-4662	470	4	direct	direct	ADJ
ejpam-4662	470	5	methods	method	NOUN
ejpam-4662	470	6	.	.	PUNCT
ejpam-4662	471	1	burr	burr	PROPN
ejpam-4662	471	2	v.	v.	CCONJ
ejpam-4662	471	3	we	we	PRON
ejpam-4662	471	4	have	have	VERB
ejpam-4662	471	5	to	to	PART
ejpam-4662	471	6	make	make	VERB
ejpam-4662	471	7	a	a	DET
ejpam-4662	471	8	little	little	ADJ
ejpam-4662	471	9	effort	effort	NOUN
ejpam-4662	471	10	to	to	PART
ejpam-4662	471	11	see	see	VERB
ejpam-4662	471	12	that	that	SCONJ
ejpam-4662	471	13	f	f	PROPN
ejpam-4662	471	14	∈	∈	PROPN
ejpam-4662	471	15	d(g0	d(g0	NOUN
ejpam-4662	471	16	)	)	PUNCT
ejpam-4662	471	17	.	.	PUNCT
ejpam-4662	472	1	we	we	PRON
ejpam-4662	472	2	recall	recall	VERB
ejpam-4662	472	3	the	the	DET
ejpam-4662	472	4	quantile	quantile	ADJ
ejpam-4662	472	5	function	function	NOUN
ejpam-4662	472	6	(	(	PUNCT
ejpam-4662	472	7	23	23	NUM
ejpam-4662	472	8	)	)	PUNCT
ejpam-4662	472	9	f−1(1−	f−1(1−	PROPN
ejpam-4662	472	10	u	u	NOUN
ejpam-4662	472	11	)	)	PUNCT
ejpam-4662	472	12	=	=	PUNCT
ejpam-4662	473	1	π	π	NOUN
ejpam-4662	473	2	2	2	X
ejpam-4662	473	3	−	−	NOUN
ejpam-4662	473	4	(	(	PUNCT
ejpam-4662	473	5	log	log	PROPN
ejpam-4662	473	6	(	(	PUNCT
ejpam-4662	473	7	kr	kr	PROPN
ejpam-4662	473	8	u	u	PROPN
ejpam-4662	473	9	)	)	PUNCT
ejpam-4662	473	10	)	)	PUNCT
ejpam-4662	473	11	−1	−1	NOUN
ejpam-4662	474	1	+	+	NOUN
ejpam-4662	474	2	o	o	X
ejpam-4662	474	3	(	(	PUNCT
ejpam-4662	474	4	(	(	PUNCT
ejpam-4662	474	5	log(1	log(1	NOUN
ejpam-4662	474	6	/	/	SYM
ejpam-4662	474	7	u))−3	u))−3	ADJ
ejpam-4662	474	8	)	)	PUNCT
ejpam-4662	474	9	.	.	PUNCT
ejpam-4662	475	1	(	(	PUNCT
ejpam-4662	475	2	40	40	NUM
ejpam-4662	475	3	)	)	PUNCT
ejpam-4662	475	4	let	let	VERB
ejpam-4662	475	5	ℓ(u	ℓ(u	NOUN
ejpam-4662	475	6	)	)	PUNCT
ejpam-4662	476	1	=	=	SYM
ejpam-4662	476	2	(	(	PUNCT
ejpam-4662	476	3	log(kr	log(kr	X
ejpam-4662	476	4	/	/	SYM
ejpam-4662	476	5	u)−1	u)−1	ADJ
ejpam-4662	476	6	,	,	PUNCT
ejpam-4662	476	7	u	u	NOUN
ejpam-4662	476	8	∈]0	∈]0	X
ejpam-4662	476	9	,	,	PUNCT
ejpam-4662	476	10	u0	u0	PROPN
ejpam-4662	476	11	[	[	X
ejpam-4662	476	12	,	,	PUNCT
ejpam-4662	476	13	u0	u0	ADJ
ejpam-4662	476	14	∈]0	∈]0	ADJ
ejpam-4662	476	15	,	,	PUNCT
ejpam-4662	476	16	1	1	NUM
ejpam-4662	476	17	[	[	NOUN
ejpam-4662	476	18	.	.	PUNCT
ejpam-4662	477	1	we	we	PRON
ejpam-4662	477	2	have	have	VERB
ejpam-4662	477	3	ℓ′(u	ℓ′(u	PROPN
ejpam-4662	477	4	)	)	PUNCT
ejpam-4662	477	5	=	=	SYM
ejpam-4662	477	6	(	(	PUNCT
ejpam-4662	477	7	log(kr	log(kr	X
ejpam-4662	477	8	/	/	SYM
ejpam-4662	477	9	u))−2	u))−2	VERB
ejpam-4662	477	10	/	/	SYM
ejpam-4662	477	11	u.	u.	NOUN
ejpam-4662	478	1	so	so	ADV
ejpam-4662	478	2	,	,	PUNCT
ejpam-4662	478	3	for	for	ADP
ejpam-4662	478	4	s(u	s(u	PROPN
ejpam-4662	478	5	)	)	PUNCT
ejpam-4662	478	6	=	=	SYM
ejpam-4662	478	7	−	−	NOUN
ejpam-4662	478	8	log(kr	log(kr	X
ejpam-4662	478	9	/	/	SYM
ejpam-4662	478	10	u)−2	u)−2	NOUN
ejpam-4662	478	11	,	,	PUNCT
ejpam-4662	478	12	there	there	PRON
ejpam-4662	478	13	existe	existe	VERB
ejpam-4662	478	14	a	a	DET
ejpam-4662	478	15	real	real	ADJ
ejpam-4662	478	16	number	number	NOUN
ejpam-4662	478	17	c0	c0	NOUN
ejpam-4662	478	18	such	such	ADJ
ejpam-4662	478	19	that	that	SCONJ
ejpam-4662	478	20	ℓ(u	ℓ(u	PROPN
ejpam-4662	478	21	)	)	PUNCT
ejpam-4662	479	1	=	=	SYM
ejpam-4662	479	2	c0	c0	PROPN
ejpam-4662	479	3	−	−	PROPN
ejpam-4662	479	4	∫	∫	PROPN
ejpam-4662	479	5	u	u	PROPN
ejpam-4662	479	6	u0	u0	PROPN
ejpam-4662	479	7	s(t	s(t	PROPN
ejpam-4662	479	8	)	)	PUNCT
ejpam-4662	479	9	t	t	PROPN
ejpam-4662	479	10	dt	dt	PROPN
ejpam-4662	479	11	.	.	PUNCT
ejpam-4662	480	1	s.	s.	PROPN
ejpam-4662	480	2	dembele	dembele	PROPN
ejpam-4662	480	3	et	et	PROPN
ejpam-4662	480	4	al	al	PROPN
ejpam-4662	480	5	.	.	PUNCT
ejpam-4662	480	6	/	/	SYM
ejpam-4662	480	7	eur	eur	PROPN
ejpam-4662	480	8	.	.	PUNCT
ejpam-4662	481	1	j.	j.	PROPN
ejpam-4662	481	2	pure	pure	PROPN
ejpam-4662	481	3	appl	appl	PROPN
ejpam-4662	481	4	.	.	PROPN
ejpam-4662	481	5	math	math	PROPN
ejpam-4662	481	6	,	,	PUNCT
ejpam-4662	481	7	16	16	NUM
ejpam-4662	481	8	(	(	PUNCT
ejpam-4662	481	9	1	1	NUM
ejpam-4662	481	10	)	)	PUNCT
ejpam-4662	481	11	(	(	PUNCT
ejpam-4662	481	12	2023	2023	NUM
ejpam-4662	481	13	)	)	PUNCT
ejpam-4662	481	14	,	,	PUNCT
ejpam-4662	481	15	609	609	NUM
ejpam-4662	481	16	-	-	SYM
ejpam-4662	481	17	656	656	NUM
ejpam-4662	481	18	631	631	NUM
ejpam-4662	482	1	so	so	ADV
ejpam-4662	482	2	ℓ	ℓ	NOUN
ejpam-4662	482	3	(	(	PUNCT
ejpam-4662	482	4	◦	◦	NOUN
ejpam-4662	482	5	)	)	PUNCT
ejpam-4662	482	6	is	be	AUX
ejpam-4662	482	7	slowly	slowly	ADV
ejpam-4662	482	8	varying	vary	VERB
ejpam-4662	482	9	at	at	ADP
ejpam-4662	482	10	0	0	NUM
ejpam-4662	482	11	and	and	CCONJ
ejpam-4662	482	12	by	by	ADP
ejpam-4662	482	13	the	the	DET
ejpam-4662	482	14	properties	property	NOUN
ejpam-4662	482	15	of	of	ADP
ejpam-4662	482	16	slowly	slowly	ADV
ejpam-4662	482	17	varying	vary	VERB
ejpam-4662	482	18	functions	function	NOUN
ejpam-4662	482	19	(	(	PUNCT
ejpam-4662	482	20	see	see	VERB
ejpam-4662	482	21	[	[	X
ejpam-4662	482	22	19],[11	19],[11	NUM
ejpam-4662	482	23	]	]	PUNCT
ejpam-4662	482	24	and	and	CCONJ
ejpam-4662	482	25	[	[	X
ejpam-4662	482	26	16	16	NUM
ejpam-4662	482	27	]	]	PUNCT
ejpam-4662	482	28	)	)	PUNCT
ejpam-4662	482	29	,	,	PUNCT
ejpam-4662	482	30	we	we	PRON
ejpam-4662	482	31	have	have	VERB
ejpam-4662	482	32	that	that	PRON
ejpam-4662	482	33	for	for	ADP
ejpam-4662	482	34	any	any	DET
ejpam-4662	482	35	λ	λ	PROPN
ejpam-4662	482	36	>	>	X
ejpam-4662	482	37	0	0	NUM
ejpam-4662	482	38	,	,	PUNCT
ejpam-4662	482	39	for	for	SCONJ
ejpam-4662	482	40	all	all	DET
ejpam-4662	482	41	u	u	NOUN
ejpam-4662	482	42	∈]0	∈]0	NOUN
ejpam-4662	482	43	,	,	PUNCT
ejpam-4662	482	44	u0	u0	PROPN
ejpam-4662	482	45	[	[	X
ejpam-4662	482	46	,	,	PUNCT
ejpam-4662	482	47	lim	lim	PROPN
ejpam-4662	482	48	u→0	u→0	PUNCT
ejpam-4662	482	49	ℓ(λu)−	ℓ(λu)−	PROPN
ejpam-4662	482	50	ℓ(u	ℓ(u	PROPN
ejpam-4662	482	51	)	)	PUNCT
ejpam-4662	482	52	s(u	s(u	PROPN
ejpam-4662	482	53	)	)	PUNCT
ejpam-4662	482	54	=	=	SYM
ejpam-4662	483	1	−	−	PROPN
ejpam-4662	483	2	log	log	PROPN
ejpam-4662	483	3	λ	λ	NOUN
ejpam-4662	483	4	.	.	PUNCT
ejpam-4662	483	5	by	by	ADP
ejpam-4662	483	6	remarking	remark	VERB
ejpam-4662	483	7	that	that	PRON
ejpam-4662	483	8	for	for	ADP
ejpam-4662	483	9	g(u	g(u	PROPN
ejpam-4662	483	10	)	)	PUNCT
ejpam-4662	483	11	=	=	SYM
ejpam-4662	483	12	o	o	X
ejpam-4662	483	13	(	(	PUNCT
ejpam-4662	483	14	(	(	PUNCT
ejpam-4662	483	15	log(1	log(1	NOUN
ejpam-4662	483	16	/	/	SYM
ejpam-4662	483	17	u))−3	u))−3	ADJ
ejpam-4662	483	18	)	)	PUNCT
ejpam-4662	483	19	,	,	PUNCT
ejpam-4662	483	20	we	we	PRON
ejpam-4662	483	21	have	have	VERB
ejpam-4662	483	22	g(u	g(u	PROPN
ejpam-4662	483	23	)	)	PUNCT
ejpam-4662	483	24	=	=	SYM
ejpam-4662	483	25	o(s(u	o(s(u	PROPN
ejpam-4662	483	26	)	)	PUNCT
ejpam-4662	483	27	)	)	PUNCT
ejpam-4662	483	28	as	as	ADP
ejpam-4662	483	29	u	u	NOUN
ejpam-4662	483	30	→	→	SYM
ejpam-4662	483	31	0	0	NUM
ejpam-4662	483	32	.	.	PUNCT
ejpam-4662	484	1	hence	hence	ADV
ejpam-4662	484	2	,	,	PUNCT
ejpam-4662	484	3	we	we	PRON
ejpam-4662	484	4	may	may	AUX
ejpam-4662	484	5	replace	replace	VERB
ejpam-4662	484	6	ℓ(u	ℓ(u	PROPN
ejpam-4662	484	7	)	)	PUNCT
ejpam-4662	484	8	by	by	ADP
ejpam-4662	484	9	f−1(1−	f−1(1−	PROPN
ejpam-4662	484	10	u	u	PROPN
ejpam-4662	484	11	)	)	PUNCT
ejpam-4662	484	12	in	in	ADP
ejpam-4662	484	13	the	the	DET
ejpam-4662	484	14	last	last	ADJ
ejpam-4662	484	15	limit	limit	NOUN
ejpam-4662	484	16	to	to	PART
ejpam-4662	484	17	get	get	VERB
ejpam-4662	484	18	lim	lim	PROPN
ejpam-4662	484	19	u→0	u→0	PUNCT
ejpam-4662	484	20	f−1(1−	f−1(1−	PROPN
ejpam-4662	484	21	λu)−	λu)−	PROPN
ejpam-4662	484	22	f−1(1−	f−1(1−	PROPN
ejpam-4662	484	23	u	u	NOUN
ejpam-4662	484	24	)	)	PUNCT
ejpam-4662	484	25	s(u	s(u	PROPN
ejpam-4662	484	26	)	)	PUNCT
ejpam-4662	484	27	=	=	SYM
ejpam-4662	484	28	−	−	PROPN
ejpam-4662	484	29	log	log	PROPN
ejpam-4662	484	30	λ	λ	PROPN
ejpam-4662	484	31	.	.	PUNCT
ejpam-4662	485	1	so	so	ADV
ejpam-4662	485	2	f	f	PROPN
ejpam-4662	485	3	∈	∈	PROPN
ejpam-4662	485	4	d(g0	d(g0	NOUN
ejpam-4662	485	5	)	)	PUNCT
ejpam-4662	485	6	.	.	PUNCT
ejpam-4662	486	1	to	to	PART
ejpam-4662	486	2	find	find	VERB
ejpam-4662	486	3	the	the	DET
ejpam-4662	486	4	asymptotic	asymptotic	ADJ
ejpam-4662	486	5	law	law	NOUN
ejpam-4662	486	6	of	of	ADP
ejpam-4662	486	7	record	record	NOUN
ejpam-4662	486	8	values	value	NOUN
ejpam-4662	486	9	,	,	PUNCT
ejpam-4662	486	10	we	we	PRON
ejpam-4662	486	11	can	can	AUX
ejpam-4662	486	12	use	use	VERB
ejpam-4662	486	13	theorem	theorem	NOUN
ejpam-4662	486	14	4	4	NUM
ejpam-4662	486	15	as	as	ADP
ejpam-4662	486	16	in	in	ADP
ejpam-4662	486	17	appendix	appendix	X
ejpam-4662	486	18	(	(	PUNCT
ejpam-4662	486	19	a1	a1	NOUN
ejpam-4662	486	20	)	)	PUNCT
ejpam-4662	486	21	,	,	PUNCT
ejpam-4662	486	22	page	page	NOUN
ejpam-4662	486	23	651	651	NUM
ejpam-4662	486	24	.	.	PUNCT
ejpam-4662	487	1	however	however	ADV
ejpam-4662	487	2	,	,	PUNCT
ejpam-4662	487	3	it	it	PRON
ejpam-4662	487	4	is	be	AUX
ejpam-4662	487	5	easier	easy	ADJ
ejpam-4662	487	6	to	to	PART
ejpam-4662	487	7	use	use	VERB
ejpam-4662	487	8	a	a	DET
ejpam-4662	487	9	direct	direct	ADJ
ejpam-4662	487	10	method	method	NOUN
ejpam-4662	487	11	as	as	ADP
ejpam-4662	487	12	below	below	ADV
ejpam-4662	487	13	.	.	PUNCT
ejpam-4662	488	1	from	from	ADP
ejpam-4662	488	2	expansion	expansion	NOUN
ejpam-4662	488	3	24	24	NUM
ejpam-4662	488	4	,	,	PUNCT
ejpam-4662	488	5	we	we	PRON
ejpam-4662	488	6	have	have	VERB
ejpam-4662	488	7	π	π	PROPN
ejpam-4662	488	8	2	2	NUM
ejpam-4662	488	9	−	−	PROPN
ejpam-4662	488	10	f−1(1−	f−1(1−	PROPN
ejpam-4662	488	11	u	u	PROPN
ejpam-4662	488	12	)	)	PUNCT
ejpam-4662	488	13	=	=	SYM
ejpam-4662	488	14	(	(	PUNCT
ejpam-4662	488	15	log(kr	log(kr	X
ejpam-4662	488	16	/	/	SYM
ejpam-4662	488	17	u))−1(1	u))−1(1	PROPN
ejpam-4662	488	18	+	+	PROPN
ejpam-4662	488	19	o((log(1	o((log(1	NOUN
ejpam-4662	488	20	/	/	SYM
ejpam-4662	488	21	u))−2	u))−2	NOUN
ejpam-4662	488	22	)	)	PUNCT
ejpam-4662	488	23	,	,	PUNCT
ejpam-4662	488	24	u	u	NOUN
ejpam-4662	488	25	∈]0	∈]0	ADJ
ejpam-4662	488	26	,	,	PUNCT
ejpam-4662	488	27	1	1	NUM
ejpam-4662	488	28	[	[	X
ejpam-4662	488	29	,	,	PUNCT
ejpam-4662	488	30	(	(	PUNCT
ejpam-4662	488	31	41	41	NUM
ejpam-4662	488	32	)	)	PUNCT
ejpam-4662	488	33	i.e.	i.e.	X
ejpam-4662	488	34	,	,	PUNCT
ejpam-4662	488	35	log	log	NOUN
ejpam-4662	488	36	(	(	PUNCT
ejpam-4662	488	37	π	π	PROPN
ejpam-4662	488	38	2	2	X
ejpam-4662	488	39	−	−	PROPN
ejpam-4662	488	40	f−1(1−	f−1(1−	PROPN
ejpam-4662	488	41	u	u	NOUN
ejpam-4662	488	42	)	)	PUNCT
ejpam-4662	488	43	)	)	PUNCT
ejpam-4662	489	1	=	=	SYM
ejpam-4662	489	2	−(log	−(log	PROPN
ejpam-4662	489	3	log(kr	log(kr	X
ejpam-4662	489	4	/	/	SYM
ejpam-4662	489	5	u	u	NOUN
ejpam-4662	489	6	)	)	PUNCT
ejpam-4662	489	7	)	)	PUNCT
ejpam-4662	490	1	+	+	PUNCT
ejpam-4662	490	2	o((log(1	o((log(1	NOUN
ejpam-4662	490	3	/	/	SYM
ejpam-4662	490	4	u))−2	u))−2	NOUN
ejpam-4662	490	5	)	)	PUNCT
ejpam-4662	490	6	,	,	PUNCT
ejpam-4662	490	7	u	u	NOUN
ejpam-4662	490	8	∈]0	∈]0	ADJ
ejpam-4662	490	9	,	,	PUNCT
ejpam-4662	490	10	1	1	NUM
ejpam-4662	490	11	[	[	NOUN
ejpam-4662	490	12	.	.	PUNCT
ejpam-4662	491	1	we	we	PRON
ejpam-4662	491	2	have	have	VERB
ejpam-4662	491	3	for	for	ADP
ejpam-4662	491	4	n	n	X
ejpam-4662	491	5	≥	≥	NOUN
ejpam-4662	491	6	1	1	NUM
ejpam-4662	491	7	,	,	PUNCT
ejpam-4662	491	8	log	log	NOUN
ejpam-4662	491	9	(	(	PUNCT
ejpam-4662	491	10	π	π	NOUN
ejpam-4662	491	11	2	2	NUM
ejpam-4662	491	12	−x(n	−x(n	NOUN
ejpam-4662	491	13	)	)	PUNCT
ejpam-4662	491	14	)	)	PUNCT
ejpam-4662	492	1	=	=	PUNCT
ejpam-4662	492	2	log	log	NOUN
ejpam-4662	492	3	(	(	PUNCT
ejpam-4662	492	4	π	π	PROPN
ejpam-4662	492	5	2	2	NUM
ejpam-4662	492	6	−	−	PROPN
ejpam-4662	492	7	f−1(1−	f−1(1−	PROPN
ejpam-4662	492	8	e−s(n	e−s(n	PROPN
ejpam-4662	492	9	)	)	PUNCT
ejpam-4662	492	10	)	)	PUNCT
ejpam-4662	492	11	)	)	PUNCT
ejpam-4662	493	1	=	=	PUNCT
ejpam-4662	494	1	−	−	PROPN
ejpam-4662	494	2	log	log	NOUN
ejpam-4662	494	3	(	(	PUNCT
ejpam-4662	494	4	log(kr	log(kr	X
ejpam-4662	494	5	)	)	PUNCT
ejpam-4662	494	6	+	+	CCONJ
ejpam-4662	494	7	s(n	s(n	NOUN
ejpam-4662	494	8	)	)	PUNCT
ejpam-4662	494	9	)	)	PUNCT
ejpam-4662	495	1	+	+	ADP
ejpam-4662	495	2	op(n	op(n	NOUN
ejpam-4662	495	3	−2	−2	NOUN
ejpam-4662	495	4	)	)	PUNCT
ejpam-4662	495	5	=	=	SYM
ejpam-4662	495	6	−	−	PROPN
ejpam-4662	495	7	log	log	NOUN
ejpam-4662	495	8	(	(	PUNCT
ejpam-4662	495	9	s(n	s(n	PROPN
ejpam-4662	495	10	)	)	PUNCT
ejpam-4662	495	11	(	(	PUNCT
ejpam-4662	495	12	1	1	NUM
ejpam-4662	495	13	+	+	CCONJ
ejpam-4662	495	14	log	log	NOUN
ejpam-4662	495	15	kr	kr	PROPN
ejpam-4662	495	16	s(n	s(n	PROPN
ejpam-4662	495	17	)	)	PUNCT
ejpam-4662	495	18	)	)	PUNCT
ejpam-4662	495	19	)	)	PUNCT
ejpam-4662	496	1	+	+	ADP
ejpam-4662	496	2	op(n	op(n	NOUN
ejpam-4662	496	3	−2	−2	NOUN
ejpam-4662	496	4	)	)	PUNCT
ejpam-4662	496	5	=	=	SYM
ejpam-4662	496	6	−	−	PROPN
ejpam-4662	496	7	logs(n	logs(n	PROPN
ejpam-4662	496	8	)	)	PUNCT
ejpam-4662	496	9	+	+	NOUN
ejpam-4662	496	10	op(n	op(n	NOUN
ejpam-4662	496	11	−1	−1	NOUN
ejpam-4662	496	12	)	)	PUNCT
ejpam-4662	496	13	.	.	PUNCT
ejpam-4662	497	1	hence	hence	ADV
ejpam-4662	497	2	s.	s.	PROPN
ejpam-4662	497	3	dembele	dembele	PROPN
ejpam-4662	497	4	et	et	PROPN
ejpam-4662	497	5	al	al	PROPN
ejpam-4662	497	6	.	.	PUNCT
ejpam-4662	497	7	/	/	SYM
ejpam-4662	497	8	eur	eur	PROPN
ejpam-4662	497	9	.	.	PUNCT
ejpam-4662	498	1	j.	j.	PROPN
ejpam-4662	498	2	pure	pure	PROPN
ejpam-4662	498	3	appl	appl	PROPN
ejpam-4662	498	4	.	.	PROPN
ejpam-4662	498	5	math	math	PROPN
ejpam-4662	498	6	,	,	PUNCT
ejpam-4662	498	7	16	16	NUM
ejpam-4662	498	8	(	(	PUNCT
ejpam-4662	498	9	1	1	NUM
ejpam-4662	498	10	)	)	PUNCT
ejpam-4662	498	11	(	(	PUNCT
ejpam-4662	498	12	2023	2023	NUM
ejpam-4662	498	13	)	)	PUNCT
ejpam-4662	498	14	,	,	PUNCT
ejpam-4662	498	15	609	609	NUM
ejpam-4662	498	16	-	-	SYM
ejpam-4662	498	17	656	656	NUM
ejpam-4662	498	18	632	632	NUM
ejpam-4662	498	19	log	log	NOUN
ejpam-4662	498	20	(	(	PUNCT
ejpam-4662	498	21	π	π	NOUN
ejpam-4662	498	22	2	2	NUM
ejpam-4662	498	23	−x(n	−x(n	NOUN
ejpam-4662	498	24	)	)	PUNCT
ejpam-4662	498	25	)	)	PUNCT
ejpam-4662	499	1	+	+	CCONJ
ejpam-4662	499	2	log	log	VERB
ejpam-4662	499	3	n	n	NOUN
ejpam-4662	499	4	=	=	SYM
ejpam-4662	499	5	−	−	PROPN
ejpam-4662	499	6	log(s(n)/n	log(s(n)/n	PROPN
ejpam-4662	499	7	)	)	PUNCT
ejpam-4662	500	1	+	+	NOUN
ejpam-4662	500	2	op(n	op(n	NOUN
ejpam-4662	500	3	−1	−1	NOUN
ejpam-4662	500	4	)	)	PUNCT
ejpam-4662	501	1	=	=	SYM
ejpam-4662	502	1	−	−	PROPN
ejpam-4662	502	2	(	(	PUNCT
ejpam-4662	502	3	log	log	NOUN
ejpam-4662	502	4	(	(	PUNCT
ejpam-4662	502	5	1	1	NUM
ejpam-4662	502	6	+	+	CCONJ
ejpam-4662	502	7	s(n	s(n	NOUN
ejpam-4662	502	8	)	)	PUNCT
ejpam-4662	502	9	n	n	CCONJ
ejpam-4662	502	10	−	−	PROPN
ejpam-4662	502	11	1	1	NUM
ejpam-4662	502	12	)	)	PUNCT
ejpam-4662	502	13	)	)	PUNCT
ejpam-4662	503	1	+	+	ADP
ejpam-4662	503	2	op(n	op(n	NOUN
ejpam-4662	503	3	−1	−1	NOUN
ejpam-4662	503	4	)	)	PUNCT
ejpam-4662	503	5	=	=	SYM
ejpam-4662	503	6	−	−	PROPN
ejpam-4662	503	7	s(n	s(n	PROPN
ejpam-4662	503	8	)	)	PUNCT
ejpam-4662	503	9	−	−	NOUN
ejpam-4662	503	10	n	n	CCONJ
ejpam-4662	503	11	n	n	NOUN
ejpam-4662	503	12	+	+	NOUN
ejpam-4662	503	13	op(n	op(n	NOUN
ejpam-4662	503	14	−1/2	−1/2	ADJ
ejpam-4662	503	15	)	)	PUNCT
ejpam-4662	504	1	+	+	NOUN
ejpam-4662	504	2	op(n	op(n	NOUN
ejpam-4662	504	3	−1	−1	NOUN
ejpam-4662	504	4	)	)	PUNCT
ejpam-4662	504	5	=	=	SYM
ejpam-4662	505	1	−	−	PROPN
ejpam-4662	505	2	s∗	s∗	PROPN
ejpam-4662	505	3	(	(	PUNCT
ejpam-4662	505	4	n)√	n)√	PROPN
ejpam-4662	505	5	n	n	PROPN
ejpam-4662	505	6	+	+	PROPN
ejpam-4662	505	7	op(n	op(n	NOUN
ejpam-4662	505	8	−1/2	−1/2	ADJ
ejpam-4662	505	9	)	)	PUNCT
ejpam-4662	505	10	.	.	PUNCT
ejpam-4662	506	1	□	□	PUNCT
ejpam-4662	506	2	burr	burr	PROPN
ejpam-4662	506	3	vi	vi	PROPN
ejpam-4662	506	4	.	.	PUNCT
ejpam-4662	507	1	we	we	PRON
ejpam-4662	507	2	proceed	proceed	VERB
ejpam-4662	507	3	exactly	exactly	ADV
ejpam-4662	507	4	as	as	ADP
ejpam-4662	507	5	in	in	ADP
ejpam-4662	507	6	the	the	DET
ejpam-4662	507	7	proof	proof	NOUN
ejpam-4662	507	8	related	relate	VERB
ejpam-4662	507	9	to	to	ADP
ejpam-4662	507	10	burr	burr	PROPN
ejpam-4662	507	11	v	v	NOUN
ejpam-4662	507	12	with	with	ADP
ejpam-4662	507	13	s(u	s(u	PROPN
ejpam-4662	507	14	)	)	PUNCT
ejpam-4662	507	15	=	=	PUNCT
ejpam-4662	507	16	(	(	PUNCT
ejpam-4662	507	17	log(1	log(1	NOUN
ejpam-4662	507	18	/	/	SYM
ejpam-4662	507	19	u	u	NOUN
ejpam-4662	507	20	)	)	PUNCT
ejpam-4662	507	21	)	)	PUNCT
ejpam-4662	507	22	−1	−1	NOUN
ejpam-4662	507	23	,	,	PUNCT
ejpam-4662	507	24	0	0	PUNCT
ejpam-4662	507	25	<	<	X
ejpam-4662	507	26	u	u	PROPN
ejpam-4662	507	27	≤	≤	X
ejpam-4662	507	28	u0	u0	ADJ
ejpam-4662	507	29	<	<	X
ejpam-4662	507	30	1	1	NUM
ejpam-4662	507	31	,	,	PUNCT
ejpam-4662	507	32	c0	c0	PROPN
ejpam-4662	507	33	=	=	PROPN
ejpam-4662	507	34	log	log	PROPN
ejpam-4662	507	35	log(1	log(1	NOUN
ejpam-4662	507	36	/	/	SYM
ejpam-4662	507	37	u0	u0	PROPN
ejpam-4662	507	38	)	)	PUNCT
ejpam-4662	507	39	,	,	PUNCT
ejpam-4662	507	40	log	log	NOUN
ejpam-4662	507	41	(	(	PUNCT
ejpam-4662	507	42	log(1	log(1	NOUN
ejpam-4662	507	43	/	/	SYM
ejpam-4662	507	44	u	u	NOUN
ejpam-4662	507	45	)	)	PUNCT
ejpam-4662	507	46	)	)	PUNCT
ejpam-4662	508	1	=	=	SYM
ejpam-4662	508	2	c0	c0	PROPN
ejpam-4662	508	3	+	+	CCONJ
ejpam-4662	508	4	∫	∫	PROPN
ejpam-4662	508	5	u0	u0	PROPN
ejpam-4662	508	6	u	u	PROPN
ejpam-4662	508	7	s(t	s(t	PROPN
ejpam-4662	508	8	)	)	PUNCT
ejpam-4662	508	9	t	t	NOUN
ejpam-4662	509	1	dt	dt	PROPN
ejpam-4662	509	2	.	.	PUNCT
ejpam-4662	510	1	we	we	PRON
ejpam-4662	510	2	get	get	VERB
ejpam-4662	510	3	that	that	PRON
ejpam-4662	510	4	f	f	PROPN
ejpam-4662	510	5	∈	∈	PROPN
ejpam-4662	510	6	d(g0	d(g0	NOUN
ejpam-4662	510	7	)	)	PUNCT
ejpam-4662	510	8	.	.	PUNCT
ejpam-4662	511	1	let	let	VERB
ejpam-4662	511	2	us	we	PRON
ejpam-4662	511	3	use	use	VERB
ejpam-4662	511	4	a	a	DET
ejpam-4662	511	5	direct	direct	ADJ
ejpam-4662	511	6	method	method	NOUN
ejpam-4662	511	7	to	to	PART
ejpam-4662	511	8	find	find	VERB
ejpam-4662	511	9	the	the	DET
ejpam-4662	511	10	asymptotic	asymptotic	ADJ
ejpam-4662	511	11	law	law	NOUN
ejpam-4662	511	12	of	of	ADP
ejpam-4662	511	13	the	the	DET
ejpam-4662	511	14	record	record	NOUN
ejpam-4662	511	15	values	value	NOUN
ejpam-4662	511	16	.	.	PUNCT
ejpam-4662	512	1	we	we	PRON
ejpam-4662	512	2	apply	apply	VERB
ejpam-4662	512	3	the	the	DET
ejpam-4662	512	4	quantile	quantile	ADJ
ejpam-4662	512	5	function	function	NOUN
ejpam-4662	512	6	v(n	v(n	NOUN
ejpam-4662	512	7	)	)	PUNCT
ejpam-4662	512	8	to	to	PART
ejpam-4662	512	9	get	get	VERB
ejpam-4662	512	10	exp(x(n	exp(x(n	NOUN
ejpam-4662	512	11	)	)	PUNCT
ejpam-4662	512	12	)	)	PUNCT
ejpam-4662	513	1	=	=	SYM
ejpam-4662	513	2	2	2	NUM
ejpam-4662	513	3	log(kr)s(n)(1	log(kr)s(n)(1	NOUN
ejpam-4662	513	4	+	+	NOUN
ejpam-4662	513	5	op((log	op((log	NOUN
ejpam-4662	513	6	n	n	CCONJ
ejpam-4662	513	7	)	)	PUNCT
ejpam-4662	513	8	−3	−3	ADV
ejpam-4662	513	9	)	)	PUNCT
ejpam-4662	513	10	)	)	PUNCT
ejpam-4662	513	11	which	which	PRON
ejpam-4662	513	12	leads	lead	VERB
ejpam-4662	513	13	to	to	ADP
ejpam-4662	513	14	1	1	NUM
ejpam-4662	513	15	2n	2n	NUM
ejpam-4662	513	16	log(kr	log(kr	NOUN
ejpam-4662	513	17	)	)	PUNCT
ejpam-4662	513	18	exp(x(n	exp(x(n	NOUN
ejpam-4662	513	19	)	)	PUNCT
ejpam-4662	513	20	)	)	PUNCT
ejpam-4662	514	1	=	=	PUNCT
ejpam-4662	514	2	s(n	s(n	NOUN
ejpam-4662	514	3	)	)	PUNCT
ejpam-4662	514	4	n	n	CCONJ
ejpam-4662	514	5	(	(	PUNCT
ejpam-4662	514	6	1	1	NUM
ejpam-4662	514	7	+	+	NOUN
ejpam-4662	514	8	op((log	op((log	NOUN
ejpam-4662	514	9	n	n	CCONJ
ejpam-4662	514	10	)	)	PUNCT
ejpam-4662	514	11	−3	−3	ADV
ejpam-4662	514	12	)	)	PUNCT
ejpam-4662	514	13	)	)	PUNCT
ejpam-4662	515	1	=	=	PUNCT
ejpam-4662	516	1	1	1	NUM
ejpam-4662	516	2	+	+	CCONJ
ejpam-4662	516	3	(	(	PUNCT
ejpam-4662	516	4	s(n	s(n	PROPN
ejpam-4662	516	5	)	)	PUNCT
ejpam-4662	516	6	n	n	CCONJ
ejpam-4662	516	7	−	−	PROPN
ejpam-4662	516	8	1	1	NUM
ejpam-4662	516	9	)	)	PUNCT
ejpam-4662	516	10	(	(	PUNCT
ejpam-4662	516	11	1	1	NUM
ejpam-4662	516	12	+	+	NOUN
ejpam-4662	516	13	op((log	op((log	NOUN
ejpam-4662	516	14	n	n	CCONJ
ejpam-4662	516	15	)	)	PUNCT
ejpam-4662	516	16	−3	−3	ADV
ejpam-4662	516	17	)	)	PUNCT
ejpam-4662	516	18	)	)	PUNCT
ejpam-4662	517	1	=	=	PUNCT
ejpam-4662	517	2	1	1	NUM
ejpam-4662	517	3	+	+	CCONJ
ejpam-4662	517	4	(	(	PUNCT
ejpam-4662	517	5	s(n	s(n	PROPN
ejpam-4662	517	6	)	)	PUNCT
ejpam-4662	517	7	−	−	NOUN
ejpam-4662	517	8	n	n	CCONJ
ejpam-4662	517	9	n	n	NOUN
ejpam-4662	517	10	)	)	PUNCT
ejpam-4662	517	11	(	(	PUNCT
ejpam-4662	517	12	1	1	NUM
ejpam-4662	517	13	+	+	NOUN
ejpam-4662	517	14	op((log	op((log	NOUN
ejpam-4662	517	15	n	n	CCONJ
ejpam-4662	517	16	)	)	PUNCT
ejpam-4662	517	17	−3	−3	ADV
ejpam-4662	517	18	)	)	PUNCT
ejpam-4662	517	19	)	)	PUNCT
ejpam-4662	517	20	,	,	PUNCT
ejpam-4662	517	21	and	and	CCONJ
ejpam-4662	517	22	next	next	ADJ
ejpam-4662	517	23	√	√	ADJ
ejpam-4662	517	24	n	n	CCONJ
ejpam-4662	517	25	(	(	PUNCT
ejpam-4662	517	26	1	1	NUM
ejpam-4662	517	27	(	(	PUNCT
ejpam-4662	517	28	2n	2n	NUM
ejpam-4662	517	29	)	)	PUNCT
ejpam-4662	517	30	log(kr	log(kr	NOUN
ejpam-4662	517	31	)	)	PUNCT
ejpam-4662	517	32	exp(x(n))−	exp(x(n))−	NOUN
ejpam-4662	517	33	1	1	NUM
ejpam-4662	517	34	)	)	PUNCT
ejpam-4662	517	35	=	=	SYM
ejpam-4662	517	36	s(n	s(n	NOUN
ejpam-4662	517	37	)	)	PUNCT
ejpam-4662	517	38	−	−	PROPN
ejpam-4662	517	39	n	n	CCONJ
ejpam-4662	517	40	√	√	NUM
ejpam-4662	517	41	n	n	CCONJ
ejpam-4662	517	42	(	(	PUNCT
ejpam-4662	517	43	1	1	NUM
ejpam-4662	517	44	+	+	NOUN
ejpam-4662	517	45	op((log	op((log	NOUN
ejpam-4662	517	46	n	n	CCONJ
ejpam-4662	517	47	)	)	PUNCT
ejpam-4662	517	48	−3	−3	ADV
ejpam-4662	517	49	)	)	PUNCT
ejpam-4662	517	50	)	)	PUNCT
ejpam-4662	518	1	=	=	PUNCT
ejpam-4662	518	2	s∗	s∗	PROPN
ejpam-4662	518	3	n(1	n(1	PROPN
ejpam-4662	518	4	+	+	NOUN
ejpam-4662	518	5	op((log	op((log	NOUN
ejpam-4662	518	6	n	n	CCONJ
ejpam-4662	518	7	)	)	PUNCT
ejpam-4662	518	8	−3	−3	ADV
ejpam-4662	518	9	)	)	PUNCT
ejpam-4662	518	10	)	)	PUNCT
ejpam-4662	518	11	.	.	PUNCT
ejpam-4662	519	1	s.	s.	PROPN
ejpam-4662	519	2	dembele	dembele	PROPN
ejpam-4662	519	3	et	et	PROPN
ejpam-4662	519	4	al	al	PROPN
ejpam-4662	519	5	.	.	PUNCT
ejpam-4662	519	6	/	/	SYM
ejpam-4662	519	7	eur	eur	PROPN
ejpam-4662	519	8	.	.	PUNCT
ejpam-4662	520	1	j.	j.	PROPN
ejpam-4662	520	2	pure	pure	PROPN
ejpam-4662	520	3	appl	appl	PROPN
ejpam-4662	520	4	.	.	PROPN
ejpam-4662	520	5	math	math	PROPN
ejpam-4662	520	6	,	,	PUNCT
ejpam-4662	520	7	16	16	NUM
ejpam-4662	520	8	(	(	PUNCT
ejpam-4662	520	9	1	1	NUM
ejpam-4662	520	10	)	)	PUNCT
ejpam-4662	520	11	(	(	PUNCT
ejpam-4662	520	12	2023	2023	NUM
ejpam-4662	520	13	)	)	PUNCT
ejpam-4662	520	14	,	,	PUNCT
ejpam-4662	520	15	609	609	NUM
ejpam-4662	520	16	-	-	SYM
ejpam-4662	520	17	656	656	NUM
ejpam-4662	520	18	633	633	NUM
ejpam-4662	520	19	finally	finally	ADV
ejpam-4662	520	20	,	,	PUNCT
ejpam-4662	520	21	we	we	PRON
ejpam-4662	520	22	have	have	AUX
ejpam-4662	520	23	√	√	NUM
ejpam-4662	520	24	n	n	CCONJ
ejpam-4662	520	25	(	(	PUNCT
ejpam-4662	520	26	1	1	NUM
ejpam-4662	520	27	(	(	PUNCT
ejpam-4662	520	28	2n	2n	NUM
ejpam-4662	520	29	)	)	PUNCT
ejpam-4662	520	30	log(kr	log(kr	NOUN
ejpam-4662	520	31	)	)	PUNCT
ejpam-4662	520	32	exp(x(n))−	exp(x(n))−	NOUN
ejpam-4662	520	33	1	1	NUM
ejpam-4662	520	34	)	)	PUNCT
ejpam-4662	520	35	=	=	VERB
ejpam-4662	521	1	s∗	s∗	PROPN
ejpam-4662	521	2	n	n	PROPN
ejpam-4662	521	3	+	+	NOUN
ejpam-4662	521	4	op((log	op((log	NOUN
ejpam-4662	521	5	n	n	CCONJ
ejpam-4662	521	6	)	)	PUNCT
ejpam-4662	521	7	−3	−3	ADV
ejpam-4662	521	8	)	)	PUNCT
ejpam-4662	521	9	)	)	PUNCT
ejpam-4662	522	1	=	=	PUNCT
ejpam-4662	522	2	w	w	NOUN
ejpam-4662	522	3	∗	∗	NOUN
ejpam-4662	522	4	n	n	PRON
ejpam-4662	522	5	+	+	NOUN
ejpam-4662	522	6	op((log	op((log	NOUN
ejpam-4662	522	7	n	n	CCONJ
ejpam-4662	522	8	)	)	PUNCT
ejpam-4662	522	9	−3	−3	ADV
ejpam-4662	522	10	)	)	PUNCT
ejpam-4662	522	11	)	)	PUNCT
ejpam-4662	522	12	→	→	SYM
ejpam-4662	522	13	n	n	CCONJ
ejpam-4662	522	14	(	(	PUNCT
ejpam-4662	522	15	0	0	NUM
ejpam-4662	522	16	,	,	PUNCT
ejpam-4662	522	17	1	1	NUM
ejpam-4662	522	18	)	)	PUNCT
ejpam-4662	522	19	.	.	PUNCT
ejpam-4662	523	1	burr	burr	PROPN
ejpam-4662	523	2	x.	x.	NOUN
ejpam-4662	523	3	we	we	PRON
ejpam-4662	523	4	have	have	VERB
ejpam-4662	523	5	logf−1(1−	logf−1(1−	PROPN
ejpam-4662	523	6	u	u	NOUN
ejpam-4662	523	7	)	)	PUNCT
ejpam-4662	523	8	=	=	SYM
ejpam-4662	523	9	1	1	NUM
ejpam-4662	523	10	2	2	NUM
ejpam-4662	523	11	log	log	NOUN
ejpam-4662	523	12	(	(	PUNCT
ejpam-4662	523	13	log(1	log(1	NOUN
ejpam-4662	523	14	/	/	SYM
ejpam-4662	523	15	u	u	NOUN
ejpam-4662	523	16	)	)	PUNCT
ejpam-4662	523	17	)	)	PUNCT
ejpam-4662	524	1	1/2	1/2	NUM
ejpam-4662	524	2	−	−	NOUN
ejpam-4662	524	3	r	r	NOUN
ejpam-4662	524	4	+	+	CCONJ
ejpam-4662	524	5	1	1	NUM
ejpam-4662	524	6	4r	4r	NUM
ejpam-4662	524	7	u	u	NOUN
ejpam-4662	524	8	log(1	log(1	NOUN
ejpam-4662	524	9	/	/	SYM
ejpam-4662	524	10	u	u	NOUN
ejpam-4662	524	11	)	)	PUNCT
ejpam-4662	525	1	+	+	NOUN
ejpam-4662	525	2	o	o	X
ejpam-4662	525	3	(	(	PUNCT
ejpam-4662	525	4	u2	u2	PROPN
ejpam-4662	525	5	(	(	PUNCT
ejpam-4662	525	6	log(1	log(1	NOUN
ejpam-4662	525	7	/	/	SYM
ejpam-4662	525	8	u))2	u))2	PROPN
ejpam-4662	525	9	)	)	PUNCT
ejpam-4662	525	10	.	.	PUNCT
ejpam-4662	526	1	when	when	SCONJ
ejpam-4662	526	2	applied	apply	VERB
ejpam-4662	526	3	to	to	ADP
ejpam-4662	526	4	v(n	v(n	NOUN
ejpam-4662	526	5	)	)	PUNCT
ejpam-4662	526	6	,	,	PUNCT
ejpam-4662	526	7	we	we	PRON
ejpam-4662	526	8	get	get	VERB
ejpam-4662	526	9	logx(n	logx(n	NOUN
ejpam-4662	526	10	)	)	PUNCT
ejpam-4662	526	11	=	=	SYM
ejpam-4662	526	12	1	1	NUM
ejpam-4662	526	13	2	2	NUM
ejpam-4662	526	14	logs(n	logs(n	NOUN
ejpam-4662	526	15	)	)	PUNCT
ejpam-4662	526	16	+	+	NOUN
ejpam-4662	526	17	op((log	op((log	NOUN
ejpam-4662	526	18	n	n	CCONJ
ejpam-4662	526	19	)	)	PUNCT
ejpam-4662	526	20	−2dn(η	−2dn(η	PROPN
ejpam-4662	526	21	)	)	PUNCT
ejpam-4662	526	22	)	)	PUNCT
ejpam-4662	526	23	and	and	CCONJ
ejpam-4662	526	24	hence	hence	ADV
ejpam-4662	526	25	,	,	PUNCT
ejpam-4662	526	26	by	by	ADP
ejpam-4662	526	27	routine	routine	ADJ
ejpam-4662	526	28	computations	computation	NOUN
ejpam-4662	526	29	,	,	PUNCT
ejpam-4662	526	30	logx(n	logx(n	NOUN
ejpam-4662	526	31	)	)	PUNCT
ejpam-4662	526	32	−	−	NOUN
ejpam-4662	526	33	1	1	NUM
ejpam-4662	526	34	2	2	NUM
ejpam-4662	526	35	log	log	NOUN
ejpam-4662	526	36	n	n	NOUN
ejpam-4662	526	37	=	=	PUNCT
ejpam-4662	526	38	(	(	PUNCT
ejpam-4662	526	39	1	1	NUM
ejpam-4662	526	40	2	2	NUM
ejpam-4662	526	41	logs(n	logs(n	NOUN
ejpam-4662	526	42	)	)	PUNCT
ejpam-4662	526	43	+	+	NOUN
ejpam-4662	526	44	op((log	op((log	NOUN
ejpam-4662	526	45	n	n	CCONJ
ejpam-4662	526	46	)	)	PUNCT
ejpam-4662	526	47	−2dn(η	−2dn(η	PROPN
ejpam-4662	526	48	)	)	PUNCT
ejpam-4662	526	49	)	)	PUNCT
ejpam-4662	526	50	)	)	PUNCT
ejpam-4662	527	1	−	−	NOUN
ejpam-4662	527	2	1	1	NUM
ejpam-4662	527	3	2	2	NUM
ejpam-4662	527	4	log	log	NOUN
ejpam-4662	527	5	n	n	NOUN
ejpam-4662	527	6	=	=	SYM
ejpam-4662	527	7	1	1	NUM
ejpam-4662	527	8	2	2	NUM
ejpam-4662	527	9	log	log	NOUN
ejpam-4662	527	10	s(n	s(n	NOUN
ejpam-4662	527	11	)	)	PUNCT
ejpam-4662	527	12	n	n	PRON
ejpam-4662	527	13	+	+	PROPN
ejpam-4662	527	14	op((log	op((log	NOUN
ejpam-4662	527	15	n	n	CCONJ
ejpam-4662	527	16	)	)	PUNCT
ejpam-4662	527	17	−2dn(η	−2dn(η	PROPN
ejpam-4662	527	18	)	)	PUNCT
ejpam-4662	527	19	)	)	PUNCT
ejpam-4662	528	1	=	=	SYM
ejpam-4662	528	2	1	1	NUM
ejpam-4662	528	3	2	2	NUM
ejpam-4662	528	4	(	(	PUNCT
ejpam-4662	528	5	(	(	PUNCT
ejpam-4662	528	6	s(n	s(n	PROPN
ejpam-4662	528	7	)	)	PUNCT
ejpam-4662	528	8	n	n	CCONJ
ejpam-4662	528	9	−	−	PROPN
ejpam-4662	528	10	1	1	X
ejpam-4662	528	11	)	)	PUNCT
ejpam-4662	529	1	+	+	NOUN
ejpam-4662	529	2	op	op	NOUN
ejpam-4662	529	3	(	(	PUNCT
ejpam-4662	529	4	s(n	s(n	PROPN
ejpam-4662	529	5	)	)	PUNCT
ejpam-4662	529	6	n	n	CCONJ
ejpam-4662	529	7	−	−	PROPN
ejpam-4662	529	8	1	1	NUM
ejpam-4662	529	9	)	)	PUNCT
ejpam-4662	529	10	)	)	PUNCT
ejpam-4662	530	1	+	+	VERB
ejpam-4662	530	2	op((log	op((log	NOUN
ejpam-4662	530	3	n	n	CCONJ
ejpam-4662	530	4	)	)	PUNCT
ejpam-4662	530	5	−2dn(η	−2dn(η	PROPN
ejpam-4662	530	6	)	)	PUNCT
ejpam-4662	530	7	)	)	PUNCT
ejpam-4662	531	1	=	=	SYM
ejpam-4662	531	2	1	1	NUM
ejpam-4662	531	3	2	2	NUM
ejpam-4662	531	4	1√	1√	NUM
ejpam-4662	531	5	n	n	PRON
ejpam-4662	531	6	s∗	s∗	PROPN
ejpam-4662	531	7	n	n	PROPN
ejpam-4662	531	8	+	+	NOUN
ejpam-4662	531	9	op(n	op(n	NOUN
ejpam-4662	531	10	−1	−1	NOUN
ejpam-4662	531	11	)	)	PUNCT
ejpam-4662	531	12	.	.	PUNCT
ejpam-4662	532	1	we	we	PRON
ejpam-4662	532	2	conclude	conclude	VERB
ejpam-4662	532	3	that	that	PRON
ejpam-4662	532	4	√	√	PROPN
ejpam-4662	532	5	n	n	PRON
ejpam-4662	532	6	log	log	NOUN
ejpam-4662	532	7	(	(	PUNCT
ejpam-4662	532	8	x(n	x(n	NOUN
ejpam-4662	532	9	)	)	PUNCT
ejpam-4662	532	10	√	√	NUM
ejpam-4662	532	11	n	n	NUM
ejpam-4662	532	12	)	)	PUNCT
ejpam-4662	532	13	=	=	SYM
ejpam-4662	532	14	1	1	NUM
ejpam-4662	532	15	2	2	NUM
ejpam-4662	532	16	s∗	s∗	PROPN
ejpam-4662	532	17	n	n	PROPN
ejpam-4662	532	18	+	+	NOUN
ejpam-4662	532	19	op(n	op(n	NOUN
ejpam-4662	532	20	−1/2	−1/2	ADJ
ejpam-4662	532	21	)	)	PUNCT
ejpam-4662	532	22	=	=	SYM
ejpam-4662	532	23	1	1	NUM
ejpam-4662	532	24	2	2	NUM
ejpam-4662	532	25	w	w	NOUN
ejpam-4662	532	26	∗	∗	NOUN
ejpam-4662	532	27	n	n	X
ejpam-4662	532	28	+	+	NOUN
ejpam-4662	532	29	op(cn	op(cn	NOUN
ejpam-4662	532	30	)	)	PUNCT
ejpam-4662	532	31	→	→	SYM
ejpam-4662	532	32	n	n	CCONJ
ejpam-4662	532	33	(	(	PUNCT
ejpam-4662	532	34	0	0	NUM
ejpam-4662	532	35	,	,	PUNCT
ejpam-4662	532	36	1/4	1/4	NUM
ejpam-4662	532	37	)	)	PUNCT
ejpam-4662	532	38	.	.	PUNCT
ejpam-4662	533	1	burr	burr	PROPN
ejpam-4662	533	2	xa	xa	PROPN
ejpam-4662	533	3	.	.	PUNCT
ejpam-4662	534	1	we	we	PRON
ejpam-4662	534	2	treat	treat	VERB
ejpam-4662	534	3	that	that	DET
ejpam-4662	534	4	case	case	NOUN
ejpam-4662	534	5	exactly	exactly	ADV
ejpam-4662	534	6	as	as	ADP
ejpam-4662	534	7	the	the	DET
ejpam-4662	534	8	case	case	NOUN
ejpam-4662	534	9	burr	burr	NOUN
ejpam-4662	534	10	x	x	PUNCT
ejpam-4662	534	11	with	with	ADP
ejpam-4662	534	12	the	the	DET
ejpam-4662	534	13	same	same	ADJ
ejpam-4662	534	14	final	final	ADJ
ejpam-4662	534	15	result	result	NOUN
ejpam-4662	534	16	,	,	PUNCT
ejpam-4662	534	17	f−1(1−	f−1(1−	PROPN
ejpam-4662	534	18	u	u	NOUN
ejpam-4662	534	19	)	)	PUNCT
ejpam-4662	534	20	=	=	SYM
ejpam-4662	534	21	(	(	PUNCT
ejpam-4662	534	22	log(1	log(1	NOUN
ejpam-4662	535	1	/	/	SYM
ejpam-4662	535	2	u))1/2	u))1/2	ADJ
ejpam-4662	535	3	+	+	CCONJ
ejpam-4662	535	4	1−	1−	NUM
ejpam-4662	535	5	r	r	NOUN
ejpam-4662	535	6	4r	4r	NUM
ejpam-4662	535	7	u	u	NOUN
ejpam-4662	535	8	(	(	PUNCT
ejpam-4662	535	9	log(1	log(1	NOUN
ejpam-4662	535	10	/	/	SYM
ejpam-4662	535	11	u))1/2	u))1/2	ADJ
ejpam-4662	536	1	+	+	NOUN
ejpam-4662	536	2	o	o	X
ejpam-4662	536	3	(	(	PUNCT
ejpam-4662	536	4	u2	u2	PROPN
ejpam-4662	536	5	(	(	PUNCT
ejpam-4662	536	6	log(1	log(1	NOUN
ejpam-4662	536	7	/	/	SYM
ejpam-4662	536	8	u))1/2	u))1/2	ADJ
ejpam-4662	536	9	)	)	PUNCT
ejpam-4662	536	10	.	.	PUNCT
ejpam-4662	537	1	(	(	PUNCT
ejpam-4662	537	2	42	42	X
ejpam-4662	537	3	)	)	PUNCT
ejpam-4662	537	4	s.	s.	PROPN
ejpam-4662	537	5	dembele	dembele	PROPN
ejpam-4662	537	6	et	et	PROPN
ejpam-4662	537	7	al	al	PROPN
ejpam-4662	537	8	.	.	PUNCT
ejpam-4662	537	9	/	/	SYM
ejpam-4662	537	10	eur	eur	PROPN
ejpam-4662	537	11	.	.	PUNCT
ejpam-4662	538	1	j.	j.	PROPN
ejpam-4662	538	2	pure	pure	PROPN
ejpam-4662	538	3	appl	appl	PROPN
ejpam-4662	538	4	.	.	PROPN
ejpam-4662	538	5	math	math	PROPN
ejpam-4662	538	6	,	,	PUNCT
ejpam-4662	538	7	16	16	NUM
ejpam-4662	538	8	(	(	PUNCT
ejpam-4662	538	9	1	1	NUM
ejpam-4662	538	10	)	)	PUNCT
ejpam-4662	538	11	(	(	PUNCT
ejpam-4662	538	12	2023	2023	NUM
ejpam-4662	538	13	)	)	PUNCT
ejpam-4662	538	14	,	,	PUNCT
ejpam-4662	538	15	609	609	NUM
ejpam-4662	538	16	-	-	SYM
ejpam-4662	538	17	656	656	NUM
ejpam-4662	538	18	634	634	NUM
ejpam-4662	538	19	√	√	PROPN
ejpam-4662	538	20	n	n	PRON
ejpam-4662	538	21	log	log	NOUN
ejpam-4662	538	22	(	(	PUNCT
ejpam-4662	538	23	x(n	x(n	NOUN
ejpam-4662	538	24	)	)	PUNCT
ejpam-4662	538	25	√	√	NUM
ejpam-4662	538	26	n	n	NUM
ejpam-4662	538	27	)	)	PUNCT
ejpam-4662	538	28	=	=	SYM
ejpam-4662	538	29	1	1	NUM
ejpam-4662	538	30	2	2	NUM
ejpam-4662	538	31	s∗	s∗	PROPN
ejpam-4662	538	32	n	n	PROPN
ejpam-4662	538	33	+	+	NOUN
ejpam-4662	538	34	op(n	op(n	NOUN
ejpam-4662	538	35	−1/2	−1/2	ADJ
ejpam-4662	538	36	)	)	PUNCT
ejpam-4662	538	37	=	=	SYM
ejpam-4662	538	38	1	1	NUM
ejpam-4662	538	39	2	2	NUM
ejpam-4662	538	40	w	w	NOUN
ejpam-4662	538	41	∗	∗	NOUN
ejpam-4662	538	42	n	n	X
ejpam-4662	538	43	+	+	NOUN
ejpam-4662	538	44	op(cn	op(cn	NOUN
ejpam-4662	538	45	)	)	PUNCT
ejpam-4662	538	46	→	→	SYM
ejpam-4662	538	47	n	n	CCONJ
ejpam-4662	538	48	(	(	PUNCT
ejpam-4662	538	49	0	0	NUM
ejpam-4662	538	50	,	,	PUNCT
ejpam-4662	538	51	1/4	1/4	NUM
ejpam-4662	538	52	)	)	PUNCT
ejpam-4662	538	53	.	.	PUNCT
ejpam-4662	539	1	■	■	PUNCT
ejpam-4662	539	2	remark	remark	NOUN
ejpam-4662	539	3	.	.	PUNCT
ejpam-4662	540	1	by	by	ADP
ejpam-4662	540	2	the	the	DET
ejpam-4662	540	3	way	way	NOUN
ejpam-4662	540	4	,	,	PUNCT
ejpam-4662	540	5	once	once	SCONJ
ejpam-4662	540	6	we	we	PRON
ejpam-4662	540	7	have	have	VERB
ejpam-4662	540	8	a	a	DET
ejpam-4662	540	9	second	second	ADJ
ejpam-4662	540	10	order	order	NOUN
ejpam-4662	540	11	extension	extension	NOUN
ejpam-4662	540	12	of	of	ADP
ejpam-4662	540	13	the	the	DET
ejpam-4662	540	14	quantile	quantile	ADJ
ejpam-4662	540	15	function	function	NOUN
ejpam-4662	540	16	,	,	PUNCT
ejpam-4662	540	17	we	we	PRON
ejpam-4662	540	18	may	may	AUX
ejpam-4662	540	19	directly	directly	ADV
ejpam-4662	540	20	find	find	VERB
ejpam-4662	540	21	the	the	DET
ejpam-4662	540	22	asymptotic	asymptotic	ADJ
ejpam-4662	540	23	law	law	NOUN
ejpam-4662	540	24	of	of	ADP
ejpam-4662	540	25	the	the	DET
ejpam-4662	540	26	record	record	NOUN
ejpam-4662	540	27	value	value	NOUN
ejpam-4662	540	28	without	without	ADP
ejpam-4662	540	29	applying	apply	VERB
ejpam-4662	540	30	arguments	argument	NOUN
ejpam-4662	540	31	in	in	ADP
ejpam-4662	540	32	theorems	theorem	NOUN
ejpam-4662	540	33	1	1	NUM
ejpam-4662	540	34	and	and	CCONJ
ejpam-4662	540	35	3	3	NUM
ejpam-4662	540	36	.	.	PUNCT
ejpam-4662	541	1	however	however	ADV
ejpam-4662	541	2	,	,	PUNCT
ejpam-4662	541	3	those	those	DET
ejpam-4662	541	4	arguments	argument	NOUN
ejpam-4662	541	5	,	,	PUNCT
ejpam-4662	541	6	when	when	SCONJ
ejpam-4662	541	7	put	put	VERB
ejpam-4662	541	8	together	together	ADV
ejpam-4662	541	9	,	,	PUNCT
ejpam-4662	541	10	offer	offer	VERB
ejpam-4662	541	11	a	a	DET
ejpam-4662	541	12	unified	unified	ADJ
ejpam-4662	541	13	approach	approach	NOUN
ejpam-4662	541	14	to	to	PART
ejpam-4662	541	15	determine	determine	VERB
ejpam-4662	541	16	such	such	ADJ
ejpam-4662	541	17	asymptotic	asymptotic	ADJ
ejpam-4662	541	18	laws	law	NOUN
ejpam-4662	541	19	.	.	PUNCT
ejpam-4662	542	1	3	3	X
ejpam-4662	542	2	.	.	X
ejpam-4662	542	3	simulations	simulation	NOUN
ejpam-4662	542	4	here	here	ADV
ejpam-4662	542	5	we	we	PRON
ejpam-4662	542	6	proceed	proceed	VERB
ejpam-4662	542	7	to	to	ADP
ejpam-4662	542	8	simulation	simulation	NOUN
ejpam-4662	542	9	studies	study	NOUN
ejpam-4662	542	10	of	of	ADP
ejpam-4662	542	11	the	the	DET
ejpam-4662	542	12	asymptotic	asymptotic	ADJ
ejpam-4662	542	13	laws	law	NOUN
ejpam-4662	542	14	obtained	obtain	VERB
ejpam-4662	542	15	.	.	PUNCT
ejpam-4662	543	1	since	since	ADV
ejpam-4662	543	2	,	,	PUNCT
ejpam-4662	543	3	we	we	PRON
ejpam-4662	543	4	only	only	ADV
ejpam-4662	543	5	want	want	VERB
ejpam-4662	543	6	to	to	PART
ejpam-4662	543	7	illustrate	illustrate	VERB
ejpam-4662	543	8	how	how	SCONJ
ejpam-4662	543	9	the	the	DET
ejpam-4662	543	10	results	result	NOUN
ejpam-4662	543	11	are	be	AUX
ejpam-4662	543	12	for	for	ADP
ejpam-4662	543	13	medium	medium	ADJ
ejpam-4662	543	14	sizes	size	NOUN
ejpam-4662	543	15	,	,	PUNCT
ejpam-4662	543	16	we	we	PRON
ejpam-4662	543	17	will	will	AUX
ejpam-4662	543	18	restric	restric	VERB
ejpam-4662	543	19	ourselves	ourselves	PRON
ejpam-4662	543	20	to	to	ADP
ejpam-4662	543	21	two	two	NUM
ejpam-4662	543	22	or	or	CCONJ
ejpam-4662	543	23	three	three	NUM
ejpam-4662	543	24	case	case	NOUN
ejpam-4662	543	25	in	in	ADP
ejpam-4662	543	26	each	each	DET
ejpam-4662	543	27	extremal	extremal	ADJ
ejpam-4662	543	28	domain	domain	NOUN
ejpam-4662	543	29	.	.	PUNCT
ejpam-4662	544	1	the	the	DET
ejpam-4662	544	2	first	first	ADJ
ejpam-4662	544	3	issue	issue	NOUN
ejpam-4662	544	4	we	we	PRON
ejpam-4662	544	5	have	have	VERB
ejpam-4662	544	6	to	to	PART
ejpam-4662	544	7	deal	deal	VERB
ejpam-4662	544	8	with	with	ADP
ejpam-4662	544	9	concerns	concern	NOUN
ejpam-4662	544	10	the	the	DET
ejpam-4662	544	11	sample	sample	NOUN
ejpam-4662	544	12	sizes	size	NOUN
ejpam-4662	544	13	.	.	PUNCT
ejpam-4662	545	1	in	in	ADP
ejpam-4662	545	2	general	general	ADJ
ejpam-4662	545	3	,	,	PUNCT
ejpam-4662	545	4	the	the	DET
ejpam-4662	545	5	sample	sample	NOUN
ejpam-4662	545	6	size	size	NOUN
ejpam-4662	545	7	is	be	AUX
ejpam-4662	545	8	fixed	fix	VERB
ejpam-4662	545	9	and	and	CCONJ
ejpam-4662	545	10	the	the	DET
ejpam-4662	545	11	statistics	statistic	NOUN
ejpam-4662	545	12	using	use	VERB
ejpam-4662	545	13	the	the	DET
ejpam-4662	545	14	generated	generate	VERB
ejpam-4662	545	15	sample	sample	NOUN
ejpam-4662	545	16	are	be	AUX
ejpam-4662	545	17	computed	compute	VERB
ejpam-4662	545	18	alongside	alongside	ADP
ejpam-4662	545	19	related	related	ADJ
ejpam-4662	545	20	parameters	parameter	NOUN
ejpam-4662	545	21	.	.	PUNCT
ejpam-4662	546	1	the	the	DET
ejpam-4662	546	2	situation	situation	NOUN
ejpam-4662	546	3	is	be	AUX
ejpam-4662	546	4	not	not	PART
ejpam-4662	546	5	the	the	DET
ejpam-4662	546	6	same	same	ADJ
ejpam-4662	546	7	with	with	ADP
ejpam-4662	546	8	records	record	NOUN
ejpam-4662	546	9	theory	theory	NOUN
ejpam-4662	546	10	.	.	PUNCT
ejpam-4662	547	1	indeed	indeed	ADV
ejpam-4662	547	2	,	,	PUNCT
ejpam-4662	547	3	for	for	ADP
ejpam-4662	547	4	a	a	DET
ejpam-4662	547	5	sample	sample	NOUN
ejpam-4662	547	6	x1	x1	PROPN
ejpam-4662	547	7	,	,	PUNCT
ejpam-4662	547	8	·	·	PUNCT
ejpam-4662	547	9	·	·	PUNCT
ejpam-4662	547	10	·	·	PUNCT
ejpam-4662	547	11	,	,	PUNCT
ejpam-4662	547	12	xn	xn	PROPN
ejpam-4662	547	13	of	of	ADP
ejpam-4662	547	14	size	size	NOUN
ejpam-4662	547	15	n	n	PRON
ejpam-4662	547	16	≥	≥	NUM
ejpam-4662	547	17	1	1	NUM
ejpam-4662	547	18	,	,	PUNCT
ejpam-4662	547	19	we	we	PRON
ejpam-4662	547	20	study	study	VERB
ejpam-4662	547	21	the	the	DET
ejpam-4662	547	22	nr	nr	NOUN
ejpam-4662	547	23	-	-	NOUN
ejpam-4662	547	24	records	record	NOUN
ejpam-4662	547	25	.	.	PUNCT
ejpam-4662	548	1	but	but	CCONJ
ejpam-4662	548	2	,	,	PUNCT
ejpam-4662	548	3	it	it	PRON
ejpam-4662	548	4	is	be	AUX
ejpam-4662	548	5	possible	possible	ADJ
ejpam-4662	548	6	the	the	DET
ejpam-4662	548	7	sample	sample	NOUN
ejpam-4662	548	8	does	do	AUX
ejpam-4662	548	9	not	not	PART
ejpam-4662	548	10	have	have	VERB
ejpam-4662	548	11	nr	nr	PRON
ejpam-4662	548	12	records	record	VERB
ejpam-4662	548	13	up	up	ADP
ejpam-4662	548	14	to	to	ADP
ejpam-4662	548	15	n	n	NOUN
ejpam-4662	548	16	obervations	obervation	NOUN
ejpam-4662	548	17	.	.	PUNCT
ejpam-4662	549	1	from	from	ADP
ejpam-4662	549	2	[	[	X
ejpam-4662	549	3	5	5	NUM
ejpam-4662	549	4	]	]	PUNCT
ejpam-4662	549	5	,	,	PUNCT
ejpam-4662	549	6	we	we	PRON
ejpam-4662	549	7	have	have	VERB
ejpam-4662	549	8	the	the	DET
ejpam-4662	549	9	following	follow	VERB
ejpam-4662	549	10	results	result	NOUN
ejpam-4662	549	11	.	.	PUNCT
ejpam-4662	550	1	let	let	VERB
ejpam-4662	550	2	n(n	n(n	PRON
ejpam-4662	550	3	)	)	PUNCT
ejpam-4662	550	4	be	be	AUX
ejpam-4662	550	5	the	the	DET
ejpam-4662	550	6	number	number	NOUN
ejpam-4662	550	7	records	record	NOUN
ejpam-4662	550	8	in	in	ADP
ejpam-4662	550	9	the	the	DET
ejpam-4662	550	10	sumple	sumple	NOUN
ejpam-4662	550	11	.	.	PUNCT
ejpam-4662	551	1	the	the	DET
ejpam-4662	551	2	law	law	NOUN
ejpam-4662	551	3	of	of	ADP
ejpam-4662	551	4	n(n	n(n	NOUN
ejpam-4662	551	5	)	)	PUNCT
ejpam-4662	551	6	is	be	AUX
ejpam-4662	551	7	the	the	DET
ejpam-4662	551	8	sample	sample	NOUN
ejpam-4662	551	9	is	be	AUX
ejpam-4662	551	10	free	free	ADJ
ejpam-4662	551	11	-	-	PUNCT
ejpam-4662	551	12	distribution	distribution	NOUN
ejpam-4662	551	13	.	.	PUNCT
ejpam-4662	552	1	we	we	PRON
ejpam-4662	552	2	have	have	VERB
ejpam-4662	552	3	:	:	PUNCT
ejpam-4662	552	4	e(n(n	e(n(n	PROPN
ejpam-4662	552	5	)	)	PUNCT
ejpam-4662	552	6	)	)	PUNCT
ejpam-4662	553	1	=	=	PUNCT
ejpam-4662	553	2	(	(	PUNCT
ejpam-4662	553	3	log	log	VERB
ejpam-4662	553	4	n)(1	n)(1	X
ejpam-4662	553	5	+	+	CCONJ
ejpam-4662	553	6	o(1	o(1	NOUN
ejpam-4662	553	7	)	)	PUNCT
ejpam-4662	553	8	)	)	PUNCT
ejpam-4662	553	9	and	and	CCONJ
ejpam-4662	553	10	var(n(n	var(n(n	NOUN
ejpam-4662	553	11	)	)	PUNCT
ejpam-4662	553	12	)	)	PUNCT
ejpam-4662	554	1	=	=	PUNCT
ejpam-4662	555	1	(	(	PUNCT
ejpam-4662	555	2	log	log	VERB
ejpam-4662	555	3	n)(1	n)(1	X
ejpam-4662	555	4	+	+	CCONJ
ejpam-4662	555	5	o(1	o(1	NOUN
ejpam-4662	555	6	)	)	PUNCT
ejpam-4662	555	7	)	)	PUNCT
ejpam-4662	555	8	,	,	PUNCT
ejpam-4662	555	9	(	(	PUNCT
ejpam-4662	555	10	43	43	X
ejpam-4662	555	11	)	)	PUNCT
ejpam-4662	555	12	n(n)−	n(n)−	PRON
ejpam-4662	555	13	log	log	VERB
ejpam-4662	555	14	n√	n√	PUNCT
ejpam-4662	555	15	log	log	NOUN
ejpam-4662	555	16	n	n	NOUN
ejpam-4662	555	17	→	→	SYM
ejpam-4662	555	18	n	n	CCONJ
ejpam-4662	555	19	(	(	PUNCT
ejpam-4662	555	20	0	0	NUM
ejpam-4662	555	21	,	,	PUNCT
ejpam-4662	555	22	1	1	NUM
ejpam-4662	555	23	)	)	PUNCT
ejpam-4662	555	24	,	,	PUNCT
ejpam-4662	555	25	(	(	PUNCT
ejpam-4662	555	26	44	44	NUM
ejpam-4662	555	27	)	)	PUNCT
ejpam-4662	555	28	and	and	CCONJ
ejpam-4662	555	29	lim	lim	PROPN
ejpam-4662	555	30	inf	inf	PROPN
ejpam-4662	555	31	n→+∞	n→+∞	VERB
ejpam-4662	555	32	n(n)−	n(n)−	PROPN
ejpam-4662	555	33	log	log	VERB
ejpam-4662	555	34	n√	n√	NUM
ejpam-4662	555	35	2	2	NUM
ejpam-4662	555	36	log	log	NOUN
ejpam-4662	555	37	n	n	PRON
ejpam-4662	555	38	log	log	VERB
ejpam-4662	555	39	log	log	NOUN
ejpam-4662	555	40	log	log	NOUN
ejpam-4662	555	41	n	n	NOUN
ejpam-4662	555	42	=	=	SYM
ejpam-4662	555	43	−11	−11	X
ejpam-4662	555	44	and	and	CCONJ
ejpam-4662	555	45	lim	lim	PROPN
ejpam-4662	555	46	sup	sup	PROPN
ejpam-4662	555	47	n→+∞	n→+∞	PROPN
ejpam-4662	555	48	n(n)−	n(n)−	ADP
ejpam-4662	555	49	log	log	VERB
ejpam-4662	555	50	n√	n√	NUM
ejpam-4662	555	51	2	2	NUM
ejpam-4662	555	52	log	log	NOUN
ejpam-4662	555	53	n	n	PRON
ejpam-4662	555	54	log	log	VERB
ejpam-4662	555	55	log	log	NOUN
ejpam-4662	555	56	log	log	NOUN
ejpam-4662	555	57	n	n	NOUN
ejpam-4662	555	58	=	=	SYM
ejpam-4662	555	59	1	1	NUM
ejpam-4662	555	60	.	.	PUNCT
ejpam-4662	556	1	(	(	PUNCT
ejpam-4662	556	2	45	45	NUM
ejpam-4662	556	3	)	)	PUNCT
ejpam-4662	557	1	so	so	ADV
ejpam-4662	557	2	,	,	PUNCT
ejpam-4662	557	3	for	for	ADP
ejpam-4662	557	4	n	n	PRON
ejpam-4662	557	5	fixed	fix	VERB
ejpam-4662	557	6	,	,	PUNCT
ejpam-4662	557	7	we	we	PRON
ejpam-4662	557	8	are	be	AUX
ejpam-4662	557	9	not	not	PART
ejpam-4662	557	10	sure	sure	ADJ
ejpam-4662	557	11	to	to	PART
ejpam-4662	557	12	have	have	VERB
ejpam-4662	557	13	a	a	DET
ejpam-4662	557	14	fixed	fix	VERB
ejpam-4662	557	15	number	number	NOUN
ejpam-4662	557	16	of	of	ADP
ejpam-4662	557	17	nr	nr	PROPN
ejpam-4662	557	18	records	record	VERB
ejpam-4662	557	19	values	value	NOUN
ejpam-4662	557	20	.	.	PUNCT
ejpam-4662	558	1	for	for	ADP
ejpam-4662	558	2	example	example	NOUN
ejpam-4662	558	3	,	,	PUNCT
ejpam-4662	558	4	by	by	ADP
ejpam-4662	558	5	using	use	VERB
ejpam-4662	558	6	the	the	DET
ejpam-4662	558	7	gaussian	gaussian	ADJ
ejpam-4662	558	8	approximation	approximation	NOUN
ejpam-4662	558	9	,	,	PUNCT
ejpam-4662	558	10	we	we	PRON
ejpam-4662	558	11	have	have	VERB
ejpam-4662	558	12	the	the	DET
ejpam-4662	558	13	following	follow	VERB
ejpam-4662	558	14	probability	probability	NOUN
ejpam-4662	558	15	p(3	p(3	PROPN
ejpam-4662	558	16	)	)	PUNCT
ejpam-4662	558	17	of	of	ADP
ejpam-4662	558	18	having	have	VERB
ejpam-4662	558	19	less	less	ADJ
ejpam-4662	558	20	that	that	PRON
ejpam-4662	558	21	nr	nr	PRON
ejpam-4662	558	22	records	record	VERB
ejpam-4662	558	23	values	value	NOUN
ejpam-4662	558	24	in	in	ADP
ejpam-4662	558	25	a	a	DET
ejpam-4662	558	26	sample	sample	NOUN
ejpam-4662	558	27	of	of	ADP
ejpam-4662	558	28	size	size	NOUN
ejpam-4662	558	29	n	n	CCONJ
ejpam-4662	558	30	in	in	ADP
ejpam-4662	558	31	table	table	NOUN
ejpam-4662	558	32	2	2	NUM
ejpam-4662	558	33	(	(	PUNCT
ejpam-4662	558	34	see	see	VERB
ejpam-4662	558	35	page	page	NOUN
ejpam-4662	558	36	654	654	NUM
ejpam-4662	558	37	)	)	PUNCT
ejpam-4662	558	38	.	.	PUNCT
ejpam-4662	559	1	s.	s.	PROPN
ejpam-4662	559	2	dembele	dembele	PROPN
ejpam-4662	559	3	et	et	PROPN
ejpam-4662	559	4	al	al	PROPN
ejpam-4662	559	5	.	.	PUNCT
ejpam-4662	559	6	/	/	SYM
ejpam-4662	559	7	eur	eur	PROPN
ejpam-4662	559	8	.	.	PUNCT
ejpam-4662	560	1	j.	j.	PROPN
ejpam-4662	560	2	pure	pure	PROPN
ejpam-4662	560	3	appl	appl	PROPN
ejpam-4662	560	4	.	.	PROPN
ejpam-4662	560	5	math	math	PROPN
ejpam-4662	560	6	,	,	PUNCT
ejpam-4662	560	7	16	16	NUM
ejpam-4662	560	8	(	(	PUNCT
ejpam-4662	560	9	1	1	NUM
ejpam-4662	560	10	)	)	PUNCT
ejpam-4662	560	11	(	(	PUNCT
ejpam-4662	560	12	2023	2023	NUM
ejpam-4662	560	13	)	)	PUNCT
ejpam-4662	560	14	,	,	PUNCT
ejpam-4662	560	15	609	609	NUM
ejpam-4662	560	16	-	-	SYM
ejpam-4662	560	17	656	656	NUM
ejpam-4662	560	18	635	635	NUM
ejpam-4662	561	1	so	so	ADV
ejpam-4662	561	2	,	,	PUNCT
ejpam-4662	561	3	while	while	SCONJ
ejpam-4662	561	4	we	we	PRON
ejpam-4662	561	5	want	want	VERB
ejpam-4662	561	6	to	to	PART
ejpam-4662	561	7	have	have	VERB
ejpam-4662	561	8	a	a	DET
ejpam-4662	561	9	powerful	powerful	ADJ
ejpam-4662	561	10	test	test	NOUN
ejpam-4662	561	11	for	for	ADP
ejpam-4662	561	12	small	small	ADJ
ejpam-4662	561	13	samples	sample	NOUN
ejpam-4662	561	14	,	,	PUNCT
ejpam-4662	561	15	we	we	PRON
ejpam-4662	561	16	should	should	AUX
ejpam-4662	561	17	ensure	ensure	VERB
ejpam-4662	561	18	that	that	SCONJ
ejpam-4662	561	19	we	we	PRON
ejpam-4662	561	20	have	have	VERB
ejpam-4662	561	21	enough	enough	ADJ
ejpam-4662	561	22	data	datum	NOUN
ejpam-4662	561	23	to	to	PART
ejpam-4662	561	24	use	use	VERB
ejpam-4662	561	25	a	a	DET
ejpam-4662	561	26	meaningful	meaningful	ADJ
ejpam-4662	561	27	number	number	NOUN
ejpam-4662	561	28	of	of	ADP
ejpam-4662	561	29	records	record	NOUN
ejpam-4662	561	30	.	.	PUNCT
ejpam-4662	562	1	from	from	ADP
ejpam-4662	562	2	table	table	NOUN
ejpam-4662	562	3	2	2	NUM
ejpam-4662	562	4	,	,	PUNCT
ejpam-4662	562	5	we	we	PRON
ejpam-4662	562	6	recommend	recommend	VERB
ejpam-4662	562	7	to	to	PART
ejpam-4662	562	8	use	use	VERB
ejpam-4662	562	9	the	the	DET
ejpam-4662	562	10	results	result	NOUN
ejpam-4662	562	11	for	for	ADP
ejpam-4662	562	12	n	n	PRON
ejpam-4662	562	13	al	al	PROPN
ejpam-4662	562	14	least	least	ADV
ejpam-4662	562	15	equal	equal	ADJ
ejpam-4662	562	16	to	to	ADP
ejpam-4662	562	17	n	n	NOUN
ejpam-4662	562	18	=	=	SYM
ejpam-4662	562	19	50	50	NUM
ejpam-4662	562	20	.	.	PUNCT
ejpam-4662	563	1	now	now	ADV
ejpam-4662	563	2	we	we	PRON
ejpam-4662	563	3	are	be	AUX
ejpam-4662	563	4	going	go	VERB
ejpam-4662	563	5	to	to	PART
ejpam-4662	563	6	simulate	simulate	VERB
ejpam-4662	563	7	the	the	DET
ejpam-4662	563	8	results	result	NOUN
ejpam-4662	563	9	on	on	ADP
ejpam-4662	563	10	two	two	NUM
ejpam-4662	563	11	for	for	ADP
ejpam-4662	563	12	the	the	DET
ejpam-4662	563	13	cdf	cdf	NOUN
ejpam-4662	563	14	’s	’s	NOUN
ejpam-4662	563	15	of	of	ADP
ejpam-4662	563	16	each	each	DET
ejpam-4662	563	17	extremal	extremal	ADJ
ejpam-4662	563	18	types	type	NOUN
ejpam-4662	563	19	:	:	PUNCT
ejpam-4662	563	20	burr	burr	PROPN
ejpam-4662	563	21	ii	ii	PROPN
ejpam-4662	563	22	and	and	CCONJ
ejpam-4662	563	23	burr	burr	PROPN
ejpam-4662	563	24	iii	iii	PROPN
ejpam-4662	563	25	for	for	ADP
ejpam-4662	563	26	γ	γ	X
ejpam-4662	563	27	>	>	X
ejpam-4662	563	28	0	0	PROPN
ejpam-4662	563	29	,	,	PUNCT
ejpam-4662	563	30	burr	burr	NOUN
ejpam-4662	563	31	i	i	PROPN
ejpam-4662	563	32	and	and	CCONJ
ejpam-4662	563	33	burr	burr	NOUN
ejpam-4662	563	34	iv	iv	NUM
ejpam-4662	563	35	for	for	ADP
ejpam-4662	563	36	γ	γ	X
ejpam-4662	563	37	<	<	X
ejpam-4662	563	38	0	0	PROPN
ejpam-4662	563	39	,	,	PUNCT
ejpam-4662	563	40	burr	burr	PROPN
ejpam-4662	563	41	vi	vi	PROPN
ejpam-4662	563	42	and	and	CCONJ
ejpam-4662	563	43	xx	xx	NUM
ejpam-4662	563	44	for	for	ADP
ejpam-4662	563	45	γ	γ	X
ejpam-4662	563	46	=	=	SYM
ejpam-4662	563	47	0	0	NUM
ejpam-4662	563	48	.	.	PUNCT
ejpam-4662	564	1	for	for	ADP
ejpam-4662	564	2	each	each	PRON
ejpam-4662	564	3	of	of	ADP
ejpam-4662	564	4	them	they	PRON
ejpam-4662	564	5	we	we	PRON
ejpam-4662	564	6	will	will	AUX
ejpam-4662	564	7	compute	compute	VERB
ejpam-4662	564	8	the	the	DET
ejpam-4662	564	9	p	p	NOUN
ejpam-4662	564	10	-	-	PUNCT
ejpam-4662	564	11	values	value	NOUN
ejpam-4662	564	12	of	of	ADP
ejpam-4662	564	13	the	the	DET
ejpam-4662	564	14	asymptotic	asymptotic	ADJ
ejpam-4662	564	15	normality	normality	NOUN
ejpam-4662	564	16	tests	test	NOUN
ejpam-4662	564	17	,	,	PUNCT
ejpam-4662	564	18	and	and	CCONJ
ejpam-4662	564	19	we	we	PRON
ejpam-4662	564	20	display	display	VERB
ejpam-4662	564	21	the	the	DET
ejpam-4662	564	22	qq	qq	NOUN
ejpam-4662	564	23	-	-	NOUN
ejpam-4662	564	24	plots	plot	NOUN
ejpam-4662	564	25	and	and	CCONJ
ejpam-4662	564	26	the	the	DET
ejpam-4662	564	27	parzen	parzen	NOUN
ejpam-4662	564	28	estimators	estimator	NOUN
ejpam-4662	564	29	of	of	ADP
ejpam-4662	564	30	the	the	DET
ejpam-4662	564	31	pdf	pdf	NOUN
ejpam-4662	564	32	’s	’s	NOUN
ejpam-4662	564	33	of	of	ADP
ejpam-4662	564	34	the	the	DET
ejpam-4662	564	35	centered	center	VERB
ejpam-4662	564	36	and	and	CCONJ
ejpam-4662	564	37	normalized	normalize	VERB
ejpam-4662	564	38	records	record	NOUN
ejpam-4662	564	39	values	value	NOUN
ejpam-4662	564	40	.	.	PUNCT
ejpam-4662	565	1	in	in	ADP
ejpam-4662	565	2	figures	figure	NOUN
ejpam-4662	565	3	1	1	NUM
ejpam-4662	565	4	(	(	PUNCT
ejpam-4662	565	5	for	for	ADP
ejpam-4662	565	6	two	two	NUM
ejpam-4662	565	7	burr	burr	NOUN
ejpam-4662	565	8	distributions	distribution	NOUN
ejpam-4662	565	9	in	in	ADP
ejpam-4662	565	10	type	type	NOUN
ejpam-4662	565	11	i	i	PROPN
ejpam-4662	565	12	)	)	PUNCT
ejpam-4662	565	13	,	,	PUNCT
ejpam-4662	565	14	2	2	NUM
ejpam-4662	565	15	(	(	PUNCT
ejpam-4662	565	16	for	for	ADP
ejpam-4662	565	17	two	two	NUM
ejpam-4662	565	18	burr	burr	NOUN
ejpam-4662	565	19	distributions	distribution	NOUN
ejpam-4662	565	20	in	in	ADP
ejpam-4662	565	21	type	type	NOUN
ejpam-4662	565	22	iii	iii	PROPN
ejpam-4662	565	23	)	)	PUNCT
ejpam-4662	565	24	,	,	PUNCT
ejpam-4662	565	25	3	3	NUM
ejpam-4662	565	26	(	(	PUNCT
ejpam-4662	565	27	for	for	ADP
ejpam-4662	565	28	two	two	NUM
ejpam-4662	565	29	burr	burr	NOUN
ejpam-4662	565	30	distributions	distribution	NOUN
ejpam-4662	565	31	in	in	ADP
ejpam-4662	565	32	type	type	NOUN
ejpam-4662	565	33	ii	ii	PROPN
ejpam-4662	565	34	)	)	PUNCT
ejpam-4662	565	35	,	,	PUNCT
ejpam-4662	565	36	the	the	DET
ejpam-4662	565	37	qq	qq	NOUN
ejpam-4662	565	38	-	-	NOUN
ejpam-4662	565	39	plots	plot	NOUN
ejpam-4662	565	40	and	and	CCONJ
ejpam-4662	565	41	the	the	DET
ejpam-4662	565	42	parzen	parzen	NOUN
ejpam-4662	565	43	graphs	graph	NOUN
ejpam-4662	565	44	support	support	VERB
ejpam-4662	565	45	our	our	PRON
ejpam-4662	565	46	findings	finding	NOUN
ejpam-4662	565	47	.	.	PUNCT
ejpam-4662	566	1	table	table	NOUN
ejpam-4662	566	2	3	3	NUM
ejpam-4662	566	3	(	(	PUNCT
ejpam-4662	566	4	in	in	ADP
ejpam-4662	566	5	page	page	NOUN
ejpam-4662	566	6	655	655	NUM
ejpam-4662	566	7	)	)	PUNCT
ejpam-4662	566	8	provides	provide	VERB
ejpam-4662	566	9	the	the	DET
ejpam-4662	566	10	p	p	NOUN
ejpam-4662	566	11	-	-	PUNCT
ejpam-4662	566	12	values	value	NOUN
ejpam-4662	566	13	that	that	PRON
ejpam-4662	566	14	validate	validate	VERB
ejpam-4662	566	15	our	our	PRON
ejpam-4662	566	16	statistical	statistical	ADJ
ejpam-4662	566	17	tests	test	NOUN
ejpam-4662	566	18	.	.	PUNCT
ejpam-4662	567	1	description	description	NOUN
ejpam-4662	567	2	of	of	ADP
ejpam-4662	567	3	the	the	DET
ejpam-4662	567	4	simulation	simulation	NOUN
ejpam-4662	567	5	works	work	VERB
ejpam-4662	567	6	.	.	PUNCT
ejpam-4662	568	1	for	for	ADP
ejpam-4662	568	2	each	each	DET
ejpam-4662	568	3	case	case	NOUN
ejpam-4662	568	4	,	,	PUNCT
ejpam-4662	568	5	we	we	PRON
ejpam-4662	568	6	proceed	proceed	VERB
ejpam-4662	568	7	as	as	ADP
ejpam-4662	568	8	follow	follow	NOUN
ejpam-4662	568	9	step	step	NOUN
ejpam-4662	568	10	1	1	NUM
ejpam-4662	568	11	:	:	PUNCT
ejpam-4662	568	12	generate	generate	VERB
ejpam-4662	568	13	a	a	DET
ejpam-4662	568	14	n−sample	n−sample	NUM
ejpam-4662	568	15	of	of	ADP
ejpam-4662	568	16	standard	standard	ADJ
ejpam-4662	568	17	uniform	uniform	ADJ
ejpam-4662	568	18	law	law	NOUN
ejpam-4662	568	19	list	list	NOUN
ejpam-4662	568	20	the	the	DET
ejpam-4662	568	21	records	record	NOUN
ejpam-4662	568	22	obtained	obtain	VERB
ejpam-4662	568	23	if	if	SCONJ
ejpam-4662	568	24	the	the	DET
ejpam-4662	568	25	number	number	NOUN
ejpam-4662	568	26	of	of	ADP
ejpam-4662	568	27	record	record	NOUN
ejpam-4662	568	28	values	value	NOUN
ejpam-4662	568	29	is	be	AUX
ejpam-4662	568	30	enough	enough	ADJ
ejpam-4662	568	31	(	(	PUNCT
ejpam-4662	568	32	compared	compare	VERB
ejpam-4662	568	33	to	to	ADP
ejpam-4662	568	34	the	the	DET
ejpam-4662	568	35	number	number	NOUN
ejpam-4662	568	36	of	of	ADP
ejpam-4662	568	37	records	record	NOUN
ejpam-4662	568	38	fixed	fix	VERB
ejpam-4662	568	39	(	(	PUNCT
ejpam-4662	568	40	nr	nr	X
ejpam-4662	568	41	)	)	PUNCT
ejpam-4662	568	42	at	at	ADP
ejpam-4662	568	43	beginnig	beginnig	NOUN
ejpam-4662	568	44	)	)	PUNCT
ejpam-4662	569	1	•	•	NOUN
ejpam-4662	569	2	compute	compute	VERB
ejpam-4662	569	3	the	the	DET
ejpam-4662	569	4	statistic	statistic	ADJ
ejpam-4662	569	5	test	test	NOUN
ejpam-4662	569	6	associated	associate	VERB
ejpam-4662	569	7	to	to	PART
ejpam-4662	569	8	stantard	stantard	VERB
ejpam-4662	569	9	normal	normal	ADJ
ejpam-4662	569	10	law	law	NOUN
ejpam-4662	569	11	,	,	PUNCT
ejpam-4662	569	12	z[i	z[i	PROPN
ejpam-4662	569	13	]	]	X
ejpam-4662	569	14	•	•	NUM
ejpam-4662	569	15	compute	compute	VERB
ejpam-4662	569	16	the	the	DET
ejpam-4662	569	17	proportion	proportion	NOUN
ejpam-4662	569	18	of	of	ADP
ejpam-4662	569	19	absolute	absolute	ADJ
ejpam-4662	569	20	value	value	NOUN
ejpam-4662	569	21	of	of	ADP
ejpam-4662	569	22	z	z	NOUN
ejpam-4662	569	23	greater	great	ADJ
ejpam-4662	569	24	than	than	ADP
ejpam-4662	569	25	1.96	1.96	NUM
ejpam-4662	569	26	(	(	PUNCT
ejpam-4662	569	27	0.975	0.975	NUM
ejpam-4662	569	28	-	-	PUNCT
ejpam-4662	569	29	quantile	quantile	NOUN
ejpam-4662	569	30	of	of	ADP
ejpam-4662	569	31	standard	standard	ADJ
ejpam-4662	569	32	normal	normal	ADJ
ejpam-4662	569	33	law	law	NOUN
ejpam-4662	569	34	)	)	PUNCT
ejpam-4662	569	35	step	step	NOUN
ejpam-4662	569	36	2	2	NUM
ejpam-4662	569	37	:	:	PUNCT
ejpam-4662	569	38	repeat	repeat	VERB
ejpam-4662	569	39	step	step	NOUN
ejpam-4662	569	40	1	1	NUM
ejpam-4662	569	41	,	,	PUNCT
ejpam-4662	569	42	b	b	X
ejpam-4662	569	43	=	=	SYM
ejpam-4662	569	44	1000	1000	NUM
ejpam-4662	569	45	times	time	NOUN
ejpam-4662	569	46	report	report	VERB
ejpam-4662	569	47	p0	p0	NOUN
ejpam-4662	569	48	le	le	X
ejpam-4662	569	49	mean	mean	VERB
ejpam-4662	569	50	of	of	ADP
ejpam-4662	569	51	proportion	proportion	NOUN
ejpam-4662	569	52	obtained	obtain	VERB
ejpam-4662	569	53	in	in	ADP
ejpam-4662	569	54	the	the	DET
ejpam-4662	569	55	tries	try	NOUN
ejpam-4662	569	56	of	of	ADP
ejpam-4662	569	57	step	step	NOUN
ejpam-4662	569	58	1	1	NUM
ejpam-4662	569	59	step	step	NOUN
ejpam-4662	569	60	3	3	NUM
ejpam-4662	569	61	:	:	PUNCT
ejpam-4662	569	62	decision	decision	NOUN
ejpam-4662	569	63	if	if	SCONJ
ejpam-4662	569	64	the	the	DET
ejpam-4662	569	65	value	value	NOUN
ejpam-4662	569	66	p0	p0	NOUN
ejpam-4662	569	67	is	be	AUX
ejpam-4662	569	68	less	less	ADJ
ejpam-4662	569	69	than	than	ADP
ejpam-4662	569	70	5	5	NUM
ejpam-4662	569	71	%	%	NOUN
ejpam-4662	569	72	,	,	PUNCT
ejpam-4662	569	73	we	we	PRON
ejpam-4662	569	74	accept	accept	VERB
ejpam-4662	569	75	the	the	DET
ejpam-4662	569	76	normality	normality	NOUN
ejpam-4662	569	77	the	the	DET
ejpam-4662	569	78	analysis	analysis	NOUN
ejpam-4662	569	79	on	on	ADP
ejpam-4662	569	80	the	the	DET
ejpam-4662	569	81	tables	table	NOUN
ejpam-4662	569	82	4	4	NUM
ejpam-4662	569	83	.	.	PUNCT
ejpam-4662	569	84	second	second	ADJ
ejpam-4662	569	85	order	order	NOUN
ejpam-4662	569	86	expansions	expansion	NOUN
ejpam-4662	569	87	of	of	ADP
ejpam-4662	569	88	burr	burr	NOUN
ejpam-4662	569	89	’s	’s	PART
ejpam-4662	569	90	quantile	quantile	ADJ
ejpam-4662	569	91	functions	function	NOUN
ejpam-4662	569	92	quantile	quantile	NOUN
ejpam-4662	569	93	of	of	ADP
ejpam-4662	569	94	burr	burr	PROPN
ejpam-4662	569	95	ii	ii	PROPN
ejpam-4662	569	96	distribution	distribution	NOUN
ejpam-4662	569	97	or	or	CCONJ
ejpam-4662	569	98	parameter	parameter	NOUN
ejpam-4662	569	99	r	r	NOUN
ejpam-4662	569	100	>	>	NOUN
ejpam-4662	569	101	0	0	NUM
ejpam-4662	569	102	.	.	PUNCT
ejpam-4662	570	1	its	its	PRON
ejpam-4662	570	2	support	support	NOUN
ejpam-4662	570	3	is	be	AUX
ejpam-4662	570	4	v	v	NOUN
ejpam-4662	570	5	=	=	SYM
ejpam-4662	570	6	r	r	NOUN
ejpam-4662	570	7	and	and	CCONJ
ejpam-4662	570	8	its	its	PRON
ejpam-4662	570	9	cdf	cdf	PROPN
ejpam-4662	570	10	is	be	AUX
ejpam-4662	570	11	s.	s.	PROPN
ejpam-4662	570	12	dembele	dembele	PROPN
ejpam-4662	570	13	et	et	PROPN
ejpam-4662	570	14	al	al	PROPN
ejpam-4662	570	15	.	.	PUNCT
ejpam-4662	570	16	/	/	SYM
ejpam-4662	570	17	eur	eur	PROPN
ejpam-4662	570	18	.	.	PUNCT
ejpam-4662	571	1	j.	j.	PROPN
ejpam-4662	571	2	pure	pure	PROPN
ejpam-4662	571	3	appl	appl	PROPN
ejpam-4662	571	4	.	.	PROPN
ejpam-4662	571	5	math	math	PROPN
ejpam-4662	571	6	,	,	PUNCT
ejpam-4662	571	7	16	16	NUM
ejpam-4662	571	8	(	(	PUNCT
ejpam-4662	571	9	1	1	NUM
ejpam-4662	571	10	)	)	PUNCT
ejpam-4662	571	11	(	(	PUNCT
ejpam-4662	571	12	2023	2023	NUM
ejpam-4662	571	13	)	)	PUNCT
ejpam-4662	571	14	,	,	PUNCT
ejpam-4662	571	15	609	609	NUM
ejpam-4662	571	16	-	-	SYM
ejpam-4662	571	17	656	656	NUM
ejpam-4662	571	18	636	636	NUM
ejpam-4662	571	19	figure	figure	NOUN
ejpam-4662	571	20	1	1	NUM
ejpam-4662	571	21	:	:	PUNCT
ejpam-4662	571	22	γ	γ	X
ejpam-4662	571	23	>	>	X
ejpam-4662	571	24	0	0	NUM
ejpam-4662	571	25	:	:	PUNCT
ejpam-4662	571	26	burr	burr	PROPN
ejpam-4662	571	27	ii	ii	PROPN
ejpam-4662	571	28	and	and	CCONJ
ejpam-4662	571	29	burr	burr	PROPN
ejpam-4662	571	30	iii	iii	PROPN
ejpam-4662	571	31	1−	1−	NUM
ejpam-4662	571	32	u	u	NOUN
ejpam-4662	571	33	=	=	PUNCT
ejpam-4662	571	34	(	(	PUNCT
ejpam-4662	571	35	1	1	NUM
ejpam-4662	571	36	+	+	CCONJ
ejpam-4662	571	37	e−x	e−x	NOUN
ejpam-4662	571	38	)	)	PUNCT
ejpam-4662	571	39	−r	−r	ADJ
ejpam-4662	571	40	,	,	PUNCT
ejpam-4662	571	41	x	x	PUNCT
ejpam-4662	571	42	∈	∈	PROPN
ejpam-4662	571	43	v	v	NOUN
ejpam-4662	571	44	,	,	PUNCT
ejpam-4662	571	45	u	u	NOUN
ejpam-4662	571	46	∈]0	∈]0	ADJ
ejpam-4662	571	47	,	,	PUNCT
ejpam-4662	571	48	1	1	NUM
ejpam-4662	571	49	[	[	NOUN
ejpam-4662	571	50	.	.	PUNCT
ejpam-4662	572	1	(	(	PUNCT
ejpam-4662	572	2	fii	fii	PROPN
ejpam-4662	572	3	)	)	PUNCT
ejpam-4662	572	4	first	first	ADV
ejpam-4662	572	5	,	,	PUNCT
ejpam-4662	572	6	we	we	PRON
ejpam-4662	572	7	will	will	AUX
ejpam-4662	572	8	repeatedly	repeatedly	ADV
ejpam-4662	572	9	need	need	VERB
ejpam-4662	572	10	the	the	DET
ejpam-4662	572	11	following	follow	VERB
ejpam-4662	572	12	expansions	expansion	NOUN
ejpam-4662	572	13	,	,	PUNCT
ejpam-4662	572	14	as	as	ADP
ejpam-4662	572	15	u	u	NOUN
ejpam-4662	572	16	→	→	SYM
ejpam-4662	572	17	0	0	NUM
ejpam-4662	572	18	,	,	PUNCT
ejpam-4662	572	19	(	(	PUNCT
ejpam-4662	572	20	1−	1−	NUM
ejpam-4662	572	21	u)−1	u)−1	NOUN
ejpam-4662	572	22	/	/	SYM
ejpam-4662	572	23	r	r	NOUN
ejpam-4662	572	24	=	=	SYM
ejpam-4662	572	25	1	1	NUM
ejpam-4662	572	26	+	+	NUM
ejpam-4662	572	27	u	u	NOUN
ejpam-4662	572	28	r	r	NOUN
ejpam-4662	572	29	+	+	NOUN
ejpam-4662	572	30	r	r	NOUN
ejpam-4662	572	31	+	+	NUM
ejpam-4662	572	32	1	1	NUM
ejpam-4662	572	33	2r2	2r2	NUM
ejpam-4662	572	34	u2	u2	PROPN
ejpam-4662	572	35	+	+	NOUN
ejpam-4662	572	36	o(u3	o(u3	NOUN
ejpam-4662	572	37	)	)	PUNCT
ejpam-4662	572	38	(	(	PUNCT
ejpam-4662	572	39	46	46	NUM
ejpam-4662	572	40	)	)	PUNCT
ejpam-4662	572	41	(	(	PUNCT
ejpam-4662	572	42	1−	1−	NUM
ejpam-4662	572	43	u)1	u)1	NOUN
ejpam-4662	572	44	/	/	SYM
ejpam-4662	572	45	r	r	NOUN
ejpam-4662	572	46	=	=	SYM
ejpam-4662	572	47	1−	1−	NUM
ejpam-4662	572	48	u	u	NOUN
ejpam-4662	572	49	r	r	NOUN
ejpam-4662	572	50	+	+	NOUN
ejpam-4662	572	51	1−	1−	NUM
ejpam-4662	572	52	r	r	NOUN
ejpam-4662	572	53	2r2	2r2	NUM
ejpam-4662	572	54	u2	u2	PROPN
ejpam-4662	572	55	+	+	PROPN
ejpam-4662	572	56	o(u3	o(u3	NOUN
ejpam-4662	572	57	)	)	PUNCT
ejpam-4662	572	58	.	.	PUNCT
ejpam-4662	573	1	(	(	PUNCT
ejpam-4662	573	2	47	47	NUM
ejpam-4662	573	3	)	)	PUNCT
ejpam-4662	573	4	by	by	ADP
ejpam-4662	573	5	applying	apply	VERB
ejpam-4662	573	6	expansion	expansion	NOUN
ejpam-4662	573	7	(	(	PUNCT
ejpam-4662	573	8	46	46	NUM
ejpam-4662	573	9	)	)	PUNCT
ejpam-4662	573	10	on	on	ADP
ejpam-4662	573	11	(	(	PUNCT
ejpam-4662	573	12	fii	fii	PROPN
ejpam-4662	573	13	)	)	PUNCT
ejpam-4662	573	14	,	,	PUNCT
ejpam-4662	573	15	we	we	PRON
ejpam-4662	573	16	get	get	VERB
ejpam-4662	573	17	−x	−x	NOUN
ejpam-4662	573	18	=	=	SYM
ejpam-4662	573	19	log	log	NOUN
ejpam-4662	573	20	(	(	PUNCT
ejpam-4662	573	21	u	u	NOUN
ejpam-4662	573	22	r	r	NOUN
ejpam-4662	573	23	+	+	NOUN
ejpam-4662	573	24	r	r	NOUN
ejpam-4662	573	25	+	+	NUM
ejpam-4662	573	26	1	1	NUM
ejpam-4662	573	27	2r2	2r2	NUM
ejpam-4662	573	28	u2	u2	PROPN
ejpam-4662	573	29	+	+	NOUN
ejpam-4662	573	30	o(u3	o(u3	NOUN
ejpam-4662	573	31	)	)	PUNCT
ejpam-4662	573	32	)	)	PUNCT
ejpam-4662	574	1	=	=	PUNCT
ejpam-4662	574	2	log	log	NOUN
ejpam-4662	574	3	(	(	PUNCT
ejpam-4662	574	4	u	u	NOUN
ejpam-4662	574	5	r	r	NOUN
ejpam-4662	574	6	(	(	PUNCT
ejpam-4662	574	7	1	1	NUM
ejpam-4662	574	8	+	+	CCONJ
ejpam-4662	574	9	r	r	NOUN
ejpam-4662	574	10	+	+	NUM
ejpam-4662	574	11	1	1	NUM
ejpam-4662	574	12	2r	2r	NUM
ejpam-4662	574	13	u+o(u2	u+o(u2	PROPN
ejpam-4662	574	14	)	)	PUNCT
ejpam-4662	574	15	)	)	PUNCT
ejpam-4662	574	16	)	)	PUNCT
ejpam-4662	575	1	s.	s.	PROPN
ejpam-4662	575	2	dembele	dembele	PROPN
ejpam-4662	575	3	et	et	PROPN
ejpam-4662	575	4	al	al	PROPN
ejpam-4662	575	5	.	.	PUNCT
ejpam-4662	575	6	/	/	SYM
ejpam-4662	575	7	eur	eur	PROPN
ejpam-4662	575	8	.	.	PUNCT
ejpam-4662	576	1	j.	j.	PROPN
ejpam-4662	576	2	pure	pure	PROPN
ejpam-4662	576	3	appl	appl	PROPN
ejpam-4662	576	4	.	.	PROPN
ejpam-4662	576	5	math	math	PROPN
ejpam-4662	576	6	,	,	PUNCT
ejpam-4662	576	7	16	16	NUM
ejpam-4662	576	8	(	(	PUNCT
ejpam-4662	576	9	1	1	NUM
ejpam-4662	576	10	)	)	PUNCT
ejpam-4662	576	11	(	(	PUNCT
ejpam-4662	576	12	2023	2023	NUM
ejpam-4662	576	13	)	)	PUNCT
ejpam-4662	576	14	,	,	PUNCT
ejpam-4662	576	15	609	609	NUM
ejpam-4662	576	16	-	-	SYM
ejpam-4662	576	17	656	656	NUM
ejpam-4662	576	18	637	637	NUM
ejpam-4662	576	19	figure	figure	NOUN
ejpam-4662	576	20	2	2	NUM
ejpam-4662	576	21	:	:	PUNCT
ejpam-4662	576	22	γ	γ	X
ejpam-4662	576	23	<	<	X
ejpam-4662	576	24	0	0	NUM
ejpam-4662	576	25	:	:	PUNCT
ejpam-4662	576	26	burr	burr	NOUN
ejpam-4662	576	27	i	i	PROPN
ejpam-4662	576	28	and	and	CCONJ
ejpam-4662	576	29	burr	burr	NOUN
ejpam-4662	576	30	iv	iv	X
ejpam-4662	576	31	=	=	PUNCT
ejpam-4662	576	32	−	−	PROPN
ejpam-4662	576	33	log	log	NOUN
ejpam-4662	576	34	r	r	NOUN
ejpam-4662	576	35	+	+	CCONJ
ejpam-4662	576	36	log	log	NOUN
ejpam-4662	576	37	u+	u+	NOUN
ejpam-4662	576	38	log	log	NOUN
ejpam-4662	576	39	(	(	PUNCT
ejpam-4662	576	40	1	1	NUM
ejpam-4662	576	41	+	+	CCONJ
ejpam-4662	576	42	r	r	NOUN
ejpam-4662	576	43	+	+	NUM
ejpam-4662	576	44	1	1	NUM
ejpam-4662	576	45	2r	2r	NUM
ejpam-4662	576	46	u+o(u2	u+o(u2	PROPN
ejpam-4662	576	47	)	)	PUNCT
ejpam-4662	576	48	)	)	PUNCT
ejpam-4662	576	49	.	.	PUNCT
ejpam-4662	577	1	now	now	ADV
ejpam-4662	577	2	we	we	PRON
ejpam-4662	577	3	develop	develop	VERB
ejpam-4662	577	4	the	the	DET
ejpam-4662	577	5	logarithm	logarithm	NOUN
ejpam-4662	577	6	in	in	ADP
ejpam-4662	577	7	v	v	NOUN
ejpam-4662	577	8	=	=	SYM
ejpam-4662	577	9	r+1	r+1	PROPN
ejpam-4662	577	10	2r	2r	NUM
ejpam-4662	577	11	u+o(u2	u+o(u2	PROPN
ejpam-4662	577	12	)	)	PUNCT
ejpam-4662	578	1	=	=	SYM
ejpam-4662	578	2	o(u	o(u	ADJ
ejpam-4662	578	3	)	)	PUNCT
ejpam-4662	578	4	→	→	SYM
ejpam-4662	578	5	0	0	NUM
ejpam-4662	578	6	at	at	ADP
ejpam-4662	578	7	the	the	DET
ejpam-4662	578	8	first	first	ADJ
ejpam-4662	578	9	order	order	NOUN
ejpam-4662	578	10	,	,	PUNCT
ejpam-4662	578	11	we	we	PRON
ejpam-4662	578	12	get	get	VERB
ejpam-4662	578	13	−x	−x	NOUN
ejpam-4662	578	14	=	=	PUNCT
ejpam-4662	579	1	−	−	NOUN
ejpam-4662	579	2	log	log	NOUN
ejpam-4662	579	3	r	r	NOUN
ejpam-4662	579	4	+	+	CCONJ
ejpam-4662	579	5	log	log	VERB
ejpam-4662	579	6	u+	u+	NUM
ejpam-4662	579	7	r	r	NOUN
ejpam-4662	579	8	+	+	NUM
ejpam-4662	579	9	1	1	NUM
ejpam-4662	579	10	2r	2r	NUM
ejpam-4662	579	11	u+o(u2	u+o(u2	PROPN
ejpam-4662	579	12	)	)	PUNCT
ejpam-4662	579	13	,	,	PUNCT
ejpam-4662	579	14	and	and	CCONJ
ejpam-4662	579	15	we	we	PRON
ejpam-4662	579	16	conclude	conclude	VERB
ejpam-4662	579	17	f−1(1−	f−1(1−	PROPN
ejpam-4662	579	18	u	u	PROPN
ejpam-4662	579	19	)	)	PUNCT
ejpam-4662	579	20	=	=	PUNCT
ejpam-4662	580	1	log	log	NOUN
ejpam-4662	580	2	r	r	NOUN
ejpam-4662	580	3	+	+	NOUN
ejpam-4662	580	4	log(1	log(1	NOUN
ejpam-4662	580	5	/	/	PUNCT
ejpam-4662	581	1	u)−	u)−	PROPN
ejpam-4662	581	2	r	r	NOUN
ejpam-4662	581	3	+	+	NUM
ejpam-4662	581	4	1	1	NUM
ejpam-4662	581	5	2r	2r	NUM
ejpam-4662	581	6	u+o(u2	u+o(u2	PROPN
ejpam-4662	581	7	)	)	PUNCT
ejpam-4662	581	8	.	.	PUNCT
ejpam-4662	582	1	(	(	PUNCT
ejpam-4662	582	2	48	48	NUM
ejpam-4662	582	3	)	)	PUNCT
ejpam-4662	582	4	quantile	quantile	NOUN
ejpam-4662	582	5	of	of	ADP
ejpam-4662	582	6	burr	burr	PROPN
ejpam-4662	582	7	iii	iii	PROPN
ejpam-4662	582	8	distribution	distribution	NOUN
ejpam-4662	582	9	of	of	ADP
ejpam-4662	582	10	parameters	parameter	NOUN
ejpam-4662	583	1	k	k	X
ejpam-4662	583	2	>	>	X
ejpam-4662	583	3	0	0	PUNCT
ejpam-4662	583	4	and	and	CCONJ
ejpam-4662	583	5	r	r	X
ejpam-4662	583	6	>	>	X
ejpam-4662	583	7	0	0	NUM
ejpam-4662	583	8	.	.	PUNCT
ejpam-4662	584	1	its	its	PRON
ejpam-4662	584	2	support	support	NOUN
ejpam-4662	584	3	is	be	AUX
ejpam-4662	584	4	v	v	NOUN
ejpam-4662	584	5	=	=	PUNCT
ejpam-4662	584	6	r+	r+	NOUN
ejpam-4662	584	7	and	and	CCONJ
ejpam-4662	584	8	its	its	PRON
ejpam-4662	584	9	cdf	cdf	PROPN
ejpam-4662	584	10	is	be	AUX
ejpam-4662	584	11	1−	1−	NUM
ejpam-4662	584	12	u	u	NOUN
ejpam-4662	584	13	=	=	PUNCT
ejpam-4662	584	14	(	(	PUNCT
ejpam-4662	584	15	1	1	NUM
ejpam-4662	584	16	+	+	CCONJ
ejpam-4662	584	17	x−k	x−k	X
ejpam-4662	584	18	)	)	PUNCT
ejpam-4662	585	1	−r	−r	ADJ
ejpam-4662	585	2	,	,	PUNCT
ejpam-4662	585	3	x	x	PUNCT
ejpam-4662	585	4	∈	∈	PROPN
ejpam-4662	585	5	v	v	NOUN
ejpam-4662	585	6	,	,	PUNCT
ejpam-4662	585	7	u	u	NOUN
ejpam-4662	585	8	∈]0	∈]0	ADJ
ejpam-4662	585	9	,	,	PUNCT
ejpam-4662	585	10	1	1	NUM
ejpam-4662	585	11	[	[	NOUN
ejpam-4662	585	12	.	.	PUNCT
ejpam-4662	586	1	(	(	PUNCT
ejpam-4662	586	2	fiii	fiii	NOUN
ejpam-4662	586	3	)	)	PUNCT
ejpam-4662	586	4	s.	s.	PROPN
ejpam-4662	586	5	dembele	dembele	PROPN
ejpam-4662	586	6	et	et	PROPN
ejpam-4662	586	7	al	al	PROPN
ejpam-4662	586	8	.	.	PUNCT
ejpam-4662	586	9	/	/	SYM
ejpam-4662	586	10	eur	eur	PROPN
ejpam-4662	586	11	.	.	PUNCT
ejpam-4662	587	1	j.	j.	PROPN
ejpam-4662	587	2	pure	pure	PROPN
ejpam-4662	587	3	appl	appl	PROPN
ejpam-4662	587	4	.	.	PROPN
ejpam-4662	587	5	math	math	PROPN
ejpam-4662	587	6	,	,	PUNCT
ejpam-4662	587	7	16	16	NUM
ejpam-4662	587	8	(	(	PUNCT
ejpam-4662	587	9	1	1	NUM
ejpam-4662	587	10	)	)	PUNCT
ejpam-4662	587	11	(	(	PUNCT
ejpam-4662	587	12	2023	2023	NUM
ejpam-4662	587	13	)	)	PUNCT
ejpam-4662	587	14	,	,	PUNCT
ejpam-4662	587	15	609	609	NUM
ejpam-4662	587	16	-	-	SYM
ejpam-4662	587	17	656	656	NUM
ejpam-4662	587	18	638	638	NUM
ejpam-4662	587	19	figure	figure	NOUN
ejpam-4662	587	20	3	3	NUM
ejpam-4662	587	21	:	:	PUNCT
ejpam-4662	587	22	γ	γ	X
ejpam-4662	587	23	=	=	SYM
ejpam-4662	587	24	0	0	NUM
ejpam-4662	587	25	:	:	PUNCT
ejpam-4662	587	26	burr	burr	PROPN
ejpam-4662	587	27	vi	vi	PROPN
ejpam-4662	587	28	and	and	CCONJ
ejpam-4662	587	29	burr	burr	NOUN
ejpam-4662	587	30	x	x	PUNCT
ejpam-4662	587	31	by	by	ADP
ejpam-4662	587	32	applying	apply	VERB
ejpam-4662	587	33	expansion	expansion	NOUN
ejpam-4662	587	34	(	(	PUNCT
ejpam-4662	587	35	46	46	NUM
ejpam-4662	587	36	)	)	PUNCT
ejpam-4662	587	37	on	on	ADP
ejpam-4662	587	38	(	(	PUNCT
ejpam-4662	587	39	fiii	fiii	NOUN
ejpam-4662	587	40	)	)	PUNCT
ejpam-4662	587	41	,	,	PUNCT
ejpam-4662	587	42	we	we	PRON
ejpam-4662	587	43	get	get	VERB
ejpam-4662	587	44	x	x	PUNCT
ejpam-4662	587	45	=	=	PRON
ejpam-4662	587	46	(	(	PUNCT
ejpam-4662	587	47	u	u	NOUN
ejpam-4662	587	48	r	r	NOUN
ejpam-4662	587	49	(	(	PUNCT
ejpam-4662	587	50	1	1	NUM
ejpam-4662	587	51	+	+	CCONJ
ejpam-4662	587	52	r	r	NOUN
ejpam-4662	587	53	+	+	NUM
ejpam-4662	587	54	1	1	NUM
ejpam-4662	587	55	2r	2r	NUM
ejpam-4662	587	56	u+o(u2	u+o(u2	PROPN
ejpam-4662	587	57	)	)	PUNCT
ejpam-4662	587	58	)	)	PUNCT
ejpam-4662	587	59	)	)	PUNCT
ejpam-4662	588	1	−1	−1	SYM
ejpam-4662	588	2	/	/	SYM
ejpam-4662	588	3	k	k	NOUN
ejpam-4662	588	4	=	=	PUNCT
ejpam-4662	588	5	r1	r1	PROPN
ejpam-4662	588	6	/	/	SYM
ejpam-4662	588	7	ku−1	ku−1	PROPN
ejpam-4662	588	8	/	/	SYM
ejpam-4662	588	9	k	k	PROPN
ejpam-4662	588	10	(	(	PUNCT
ejpam-4662	588	11	1	1	NUM
ejpam-4662	589	1	+	+	CCONJ
ejpam-4662	589	2	r	r	NOUN
ejpam-4662	589	3	+	+	NUM
ejpam-4662	589	4	1	1	NUM
ejpam-4662	589	5	2r	2r	NUM
ejpam-4662	589	6	u+o(u2	u+o(u2	PROPN
ejpam-4662	589	7	)	)	PUNCT
ejpam-4662	589	8	)	)	PUNCT
ejpam-4662	590	1	−1	−1	SYM
ejpam-4662	590	2	/	/	SYM
ejpam-4662	590	3	k	k	NOUN
ejpam-4662	590	4	=	=	PUNCT
ejpam-4662	590	5	r1	r1	PROPN
ejpam-4662	590	6	/	/	SYM
ejpam-4662	590	7	ku−1	ku−1	PROPN
ejpam-4662	590	8	/	/	SYM
ejpam-4662	590	9	k	k	PROPN
ejpam-4662	590	10	(	(	PUNCT
ejpam-4662	590	11	1−	1−	NUM
ejpam-4662	590	12	r	r	NOUN
ejpam-4662	590	13	+	+	NOUN
ejpam-4662	590	14	1	1	NUM
ejpam-4662	590	15	2kr	2kr	NOUN
ejpam-4662	590	16	u+o(u2	u+o(u2	PROPN
ejpam-4662	590	17	)	)	PUNCT
ejpam-4662	590	18	)	)	PUNCT
ejpam-4662	590	19	.	.	PUNCT
ejpam-4662	591	1	we	we	PRON
ejpam-4662	591	2	conclude	conclude	VERB
ejpam-4662	591	3	f−1(1−	f−1(1−	PROPN
ejpam-4662	591	4	u	u	PROPN
ejpam-4662	591	5	)	)	PUNCT
ejpam-4662	591	6	=	=	SYM
ejpam-4662	591	7	r1	r1	PROPN
ejpam-4662	591	8	/	/	SYM
ejpam-4662	591	9	ku−1	ku−1	PROPN
ejpam-4662	591	10	/	/	SYM
ejpam-4662	591	11	k	k	PROPN
ejpam-4662	591	12	(	(	PUNCT
ejpam-4662	591	13	1−	1−	NUM
ejpam-4662	591	14	r	r	NOUN
ejpam-4662	591	15	+	+	NOUN
ejpam-4662	591	16	1	1	NUM
ejpam-4662	591	17	2kr	2kr	NOUN
ejpam-4662	591	18	u+o(u2	u+o(u2	PROPN
ejpam-4662	591	19	)	)	PUNCT
ejpam-4662	591	20	)	)	PUNCT
ejpam-4662	591	21	.	.	PUNCT
ejpam-4662	592	1	(	(	PUNCT
ejpam-4662	592	2	49	49	X
ejpam-4662	592	3	)	)	PUNCT
ejpam-4662	592	4	quantile	quantile	NOUN
ejpam-4662	592	5	of	of	ADP
ejpam-4662	592	6	burr	burr	NOUN
ejpam-4662	592	7	iv	iv	NUM
ejpam-4662	592	8	distribution	distribution	NOUN
ejpam-4662	592	9	of	of	ADP
ejpam-4662	592	10	parameters	parameter	NOUN
ejpam-4662	592	11	c	c	PROPN
ejpam-4662	592	12	>	>	X
ejpam-4662	592	13	0	0	PUNCT
ejpam-4662	593	1	and	and	CCONJ
ejpam-4662	593	2	r	r	X
ejpam-4662	593	3	>	>	X
ejpam-4662	593	4	0	0	NUM
ejpam-4662	593	5	.	.	PUNCT
ejpam-4662	593	6	.	.	PUNCT
ejpam-4662	594	1	its	its	PRON
ejpam-4662	594	2	domain	domain	NOUN
ejpam-4662	594	3	is	be	AUX
ejpam-4662	594	4	v	v	NOUN
ejpam-4662	594	5	=	=	SYM
ejpam-4662	594	6	[	[	X
ejpam-4662	594	7	0	0	NUM
ejpam-4662	594	8	,	,	PUNCT
ejpam-4662	594	9	c	c	NOUN
ejpam-4662	594	10	]	]	PUNCT
ejpam-4662	594	11	and	and	CCONJ
ejpam-4662	594	12	its	its	PRON
ejpam-4662	594	13	cdf	cdf	PROPN
ejpam-4662	594	14	is	be	AUX
ejpam-4662	594	15	given	give	VERB
ejpam-4662	594	16	by	by	ADP
ejpam-4662	594	17	s.	s.	PROPN
ejpam-4662	594	18	dembele	dembele	PROPN
ejpam-4662	594	19	et	et	PROPN
ejpam-4662	594	20	al	al	PROPN
ejpam-4662	594	21	.	.	PUNCT
ejpam-4662	594	22	/	/	SYM
ejpam-4662	594	23	eur	eur	PROPN
ejpam-4662	594	24	.	.	PUNCT
ejpam-4662	595	1	j.	j.	PROPN
ejpam-4662	595	2	pure	pure	PROPN
ejpam-4662	595	3	appl	appl	PROPN
ejpam-4662	595	4	.	.	PROPN
ejpam-4662	595	5	math	math	PROPN
ejpam-4662	595	6	,	,	PUNCT
ejpam-4662	595	7	16	16	NUM
ejpam-4662	595	8	(	(	PUNCT
ejpam-4662	595	9	1	1	NUM
ejpam-4662	595	10	)	)	PUNCT
ejpam-4662	595	11	(	(	PUNCT
ejpam-4662	595	12	2023	2023	NUM
ejpam-4662	595	13	)	)	PUNCT
ejpam-4662	595	14	,	,	PUNCT
ejpam-4662	595	15	609	609	NUM
ejpam-4662	595	16	-	-	SYM
ejpam-4662	595	17	656	656	NUM
ejpam-4662	595	18	639	639	NUM
ejpam-4662	595	19	f	f	X
ejpam-4662	595	20	(	(	PUNCT
ejpam-4662	595	21	x	x	X
ejpam-4662	595	22	)	)	PUNCT
ejpam-4662	595	23	=	=	NOUN
ejpam-4662	596	1	[	[	PUNCT
ejpam-4662	596	2	1	1	NUM
ejpam-4662	596	3	+	+	CCONJ
ejpam-4662	596	4	(	(	PUNCT
ejpam-4662	596	5	c−	c−	ADJ
ejpam-4662	596	6	x	x	SYM
ejpam-4662	596	7	x	x	SYM
ejpam-4662	596	8	)	)	PUNCT
ejpam-4662	596	9	1	1	NUM
ejpam-4662	596	10	/	/	SYM
ejpam-4662	596	11	c	c	NOUN
ejpam-4662	596	12	]	]	PUNCT
ejpam-4662	596	13	−r	−r	ADJ
ejpam-4662	596	14	,	,	PUNCT
ejpam-4662	596	15	x	x	X
ejpam-4662	596	16	∈]0	∈]0	X
ejpam-4662	596	17	,	,	PUNCT
ejpam-4662	596	18	c	c	NOUN
ejpam-4662	596	19	]	]	PUNCT
ejpam-4662	596	20	.	.	PUNCT
ejpam-4662	597	1	we	we	PRON
ejpam-4662	597	2	have	have	VERB
ejpam-4662	597	3	for	for	ADP
ejpam-4662	597	4	f	f	PROPN
ejpam-4662	597	5	(	(	PUNCT
ejpam-4662	597	6	x	x	NOUN
ejpam-4662	597	7	)	)	PUNCT
ejpam-4662	597	8	=	=	SYM
ejpam-4662	597	9	1−	1−	NUM
ejpam-4662	597	10	u	u	NOUN
ejpam-4662	597	11	with	with	ADP
ejpam-4662	597	12	u	u	PROPN
ejpam-4662	597	13	∈	∈	PROPN
ejpam-4662	598	1	[	[	X
ejpam-4662	598	2	0	0	NUM
ejpam-4662	598	3	;	;	PUNCT
ejpam-4662	598	4	1	1	NUM
ejpam-4662	598	5	[	[	NOUN
ejpam-4662	598	6	,	,	PUNCT
ejpam-4662	598	7	1−	1−	NUM
ejpam-4662	598	8	u	u	NOUN
ejpam-4662	598	9	=	=	PUNCT
ejpam-4662	598	10	[	[	PUNCT
ejpam-4662	598	11	1	1	NUM
ejpam-4662	598	12	+	+	CCONJ
ejpam-4662	598	13	(	(	PUNCT
ejpam-4662	598	14	c−	c−	ADJ
ejpam-4662	598	15	x	x	SYM
ejpam-4662	598	16	x	x	SYM
ejpam-4662	598	17	)	)	PUNCT
ejpam-4662	598	18	1	1	NUM
ejpam-4662	598	19	/	/	SYM
ejpam-4662	598	20	c	c	NOUN
ejpam-4662	598	21	]	]	PUNCT
ejpam-4662	598	22	−r	−r	PROPN
ejpam-4662	598	23	(	(	PUNCT
ejpam-4662	598	24	1−	1−	NUM
ejpam-4662	598	25	u)−1	u)−1	NOUN
ejpam-4662	598	26	/	/	SYM
ejpam-4662	598	27	r	r	NOUN
ejpam-4662	598	28	=	=	SYM
ejpam-4662	598	29	1	1	NUM
ejpam-4662	598	30	+	+	CCONJ
ejpam-4662	598	31	(	(	PUNCT
ejpam-4662	598	32	c−	c−	ADJ
ejpam-4662	598	33	x	x	SYM
ejpam-4662	598	34	x	x	SYM
ejpam-4662	598	35	)	)	PUNCT
ejpam-4662	598	36	1	1	NUM
ejpam-4662	598	37	/	/	SYM
ejpam-4662	598	38	c	c	NOUN
ejpam-4662	598	39	1	1	NUM
ejpam-4662	598	40	+	+	CCONJ
ejpam-4662	598	41	1	1	NUM
ejpam-4662	598	42	r	r	NOUN
ejpam-4662	598	43	u+	u+	NOUN
ejpam-4662	598	44	r	r	NOUN
ejpam-4662	598	45	+	+	NUM
ejpam-4662	598	46	1	1	NUM
ejpam-4662	598	47	2r2	2r2	NUM
ejpam-4662	598	48	u2	u2	NOUN
ejpam-4662	598	49	+	+	PROPN
ejpam-4662	598	50	o	o	X
ejpam-4662	598	51	(	(	PUNCT
ejpam-4662	598	52	u3	u3	PROPN
ejpam-4662	598	53	)	)	PUNCT
ejpam-4662	598	54	=	=	SYM
ejpam-4662	598	55	1	1	NUM
ejpam-4662	598	56	+	+	CCONJ
ejpam-4662	598	57	(	(	PUNCT
ejpam-4662	598	58	c−	c−	ADJ
ejpam-4662	598	59	x	x	SYM
ejpam-4662	598	60	x	x	SYM
ejpam-4662	598	61	)	)	PUNCT
ejpam-4662	598	62	1	1	NUM
ejpam-4662	598	63	/	/	SYM
ejpam-4662	598	64	c	c	NOUN
ejpam-4662	598	65	1	1	NUM
ejpam-4662	598	66	r	r	NOUN
ejpam-4662	598	67	u+	u+	NOUN
ejpam-4662	598	68	r	r	NOUN
ejpam-4662	598	69	+	+	NUM
ejpam-4662	598	70	1	1	NUM
ejpam-4662	598	71	2r2	2r2	NUM
ejpam-4662	598	72	u2	u2	NOUN
ejpam-4662	598	73	+	+	PROPN
ejpam-4662	598	74	o	o	X
ejpam-4662	598	75	(	(	PUNCT
ejpam-4662	598	76	u3	u3	PROPN
ejpam-4662	598	77	)	)	PUNCT
ejpam-4662	598	78	=	=	PUNCT
ejpam-4662	598	79	(	(	PUNCT
ejpam-4662	598	80	c−	c−	X
ejpam-4662	598	81	x	x	SYM
ejpam-4662	598	82	x	x	SYM
ejpam-4662	598	83	)	)	PUNCT
ejpam-4662	598	84	1	1	NUM
ejpam-4662	598	85	/	/	SYM
ejpam-4662	598	86	c	c	NOUN
ejpam-4662	598	87	.	.	PUNCT
ejpam-4662	599	1	hence	hence	ADV
ejpam-4662	599	2	,	,	PUNCT
ejpam-4662	599	3	we	we	PRON
ejpam-4662	599	4	have	have	VERB
ejpam-4662	599	5	(	(	PUNCT
ejpam-4662	599	6	c−	c−	ADJ
ejpam-4662	599	7	x	x	SYM
ejpam-4662	599	8	x	x	SYM
ejpam-4662	599	9	)	)	PUNCT
ejpam-4662	599	10	1	1	NUM
ejpam-4662	599	11	/	/	SYM
ejpam-4662	599	12	c	c	NOUN
ejpam-4662	599	13	=	=	SYM
ejpam-4662	599	14	1	1	NUM
ejpam-4662	599	15	r	r	NOUN
ejpam-4662	599	16	u+	u+	NOUN
ejpam-4662	599	17	r	r	NOUN
ejpam-4662	599	18	+	+	NUM
ejpam-4662	599	19	1	1	NUM
ejpam-4662	599	20	2r2	2r2	NUM
ejpam-4662	599	21	u2	u2	NOUN
ejpam-4662	600	1	+	+	PROPN
ejpam-4662	600	2	o	o	X
ejpam-4662	600	3	(	(	PUNCT
ejpam-4662	600	4	u3	u3	PROPN
ejpam-4662	600	5	)	)	PUNCT
ejpam-4662	600	6	(	(	PUNCT
ejpam-4662	600	7	c	c	NOUN
ejpam-4662	600	8	x	x	SYM
ejpam-4662	600	9	−	−	PROPN
ejpam-4662	600	10	1	1	NUM
ejpam-4662	600	11	)	)	SYM
ejpam-4662	600	12	1	1	NUM
ejpam-4662	600	13	/	/	SYM
ejpam-4662	600	14	c	c	NOUN
ejpam-4662	600	15	=	=	SYM
ejpam-4662	600	16	1	1	NUM
ejpam-4662	600	17	r	r	NOUN
ejpam-4662	600	18	u	u	NOUN
ejpam-4662	600	19	(	(	PUNCT
ejpam-4662	600	20	1	1	NUM
ejpam-4662	600	21	+	+	CCONJ
ejpam-4662	600	22	r	r	NOUN
ejpam-4662	600	23	+	+	CCONJ
ejpam-4662	600	24	1	1	NUM
ejpam-4662	600	25	2r	2r	NUM
ejpam-4662	600	26	u+o	u+o	NUM
ejpam-4662	600	27	(	(	PUNCT
ejpam-4662	600	28	u2	u2	PROPN
ejpam-4662	600	29	)	)	PUNCT
ejpam-4662	600	30	)	)	PUNCT
ejpam-4662	600	31	.	.	PUNCT
ejpam-4662	601	1	the	the	DET
ejpam-4662	601	2	last	last	ADJ
ejpam-4662	601	3	equation	equation	NOUN
ejpam-4662	601	4	leads	lead	VERB
ejpam-4662	601	5	to	to	ADP
ejpam-4662	601	6	,	,	PUNCT
ejpam-4662	601	7	c	c	NOUN
ejpam-4662	601	8	x	x	SYM
ejpam-4662	602	1	−	−	PROPN
ejpam-4662	602	2	1	1	NUM
ejpam-4662	603	1	=	=	SYM
ejpam-4662	603	2	[	[	PUNCT
ejpam-4662	603	3	1	1	NUM
ejpam-4662	603	4	r	r	NOUN
ejpam-4662	603	5	u	u	NOUN
ejpam-4662	603	6	(	(	PUNCT
ejpam-4662	603	7	1	1	NUM
ejpam-4662	603	8	+	+	CCONJ
ejpam-4662	603	9	r	r	NOUN
ejpam-4662	603	10	+	+	CCONJ
ejpam-4662	603	11	1	1	NUM
ejpam-4662	603	12	2r	2r	NUM
ejpam-4662	603	13	u+o	u+o	NUM
ejpam-4662	603	14	(	(	PUNCT
ejpam-4662	603	15	u2	u2	PROPN
ejpam-4662	603	16	)	)	PUNCT
ejpam-4662	603	17	)	)	PUNCT
ejpam-4662	604	1	]	]	X
ejpam-4662	604	2	c	c	X
ejpam-4662	604	3	=	=	SYM
ejpam-4662	604	4	r−cuc	r−cuc	NOUN
ejpam-4662	604	5	(	(	PUNCT
ejpam-4662	604	6	1	1	NUM
ejpam-4662	604	7	+	+	CCONJ
ejpam-4662	604	8	r	r	NOUN
ejpam-4662	604	9	+	+	CCONJ
ejpam-4662	604	10	1	1	NUM
ejpam-4662	604	11	2r	2r	NUM
ejpam-4662	604	12	u+o	u+o	NUM
ejpam-4662	604	13	(	(	PUNCT
ejpam-4662	604	14	u2	u2	PROPN
ejpam-4662	604	15	)	)	PUNCT
ejpam-4662	604	16	)	)	PUNCT
ejpam-4662	605	1	c	c	NOUN
ejpam-4662	605	2	=	=	SYM
ejpam-4662	605	3	r−cuc	r−cuc	NOUN
ejpam-4662	605	4	(	(	PUNCT
ejpam-4662	605	5	1	1	NUM
ejpam-4662	605	6	+	+	NUM
ejpam-4662	605	7	c(r	c(r	NOUN
ejpam-4662	605	8	+	+	CCONJ
ejpam-4662	605	9	1	1	X
ejpam-4662	605	10	)	)	PUNCT
ejpam-4662	605	11	2r	2r	NUM
ejpam-4662	605	12	u+o	u+o	NUM
ejpam-4662	605	13	(	(	PUNCT
ejpam-4662	605	14	u2	u2	PROPN
ejpam-4662	605	15	)	)	PUNCT
ejpam-4662	605	16	)	)	PUNCT
ejpam-4662	605	17	.	.	PUNCT
ejpam-4662	606	1	then	then	ADV
ejpam-4662	606	2	,	,	PUNCT
ejpam-4662	606	3	we	we	PRON
ejpam-4662	606	4	have	have	VERB
ejpam-4662	606	5	c	c	NOUN
ejpam-4662	606	6	x	x	SYM
ejpam-4662	606	7	=	=	SYM
ejpam-4662	606	8	1	1	NUM
ejpam-4662	606	9	+	+	CCONJ
ejpam-4662	606	10	r−cuc	r−cuc	ADJ
ejpam-4662	606	11	(	(	PUNCT
ejpam-4662	606	12	1	1	NUM
ejpam-4662	606	13	+	+	NUM
ejpam-4662	607	1	c(r	c(r	NOUN
ejpam-4662	608	1	+	+	CCONJ
ejpam-4662	609	1	1	1	X
ejpam-4662	609	2	)	)	PUNCT
ejpam-4662	609	3	2r	2r	NUM
ejpam-4662	609	4	u+o	u+o	NUM
ejpam-4662	609	5	(	(	PUNCT
ejpam-4662	609	6	u2	u2	PROPN
ejpam-4662	609	7	)	)	PUNCT
ejpam-4662	609	8	)	)	PUNCT
ejpam-4662	609	9	.	.	PUNCT
ejpam-4662	610	1	(	(	PUNCT
ejpam-4662	610	2	50	50	NUM
ejpam-4662	610	3	)	)	PUNCT
ejpam-4662	610	4	the	the	DET
ejpam-4662	610	5	equation	equation	NOUN
ejpam-4662	610	6	(	(	PUNCT
ejpam-4662	610	7	50	50	NUM
ejpam-4662	610	8	)	)	PUNCT
ejpam-4662	610	9	,	,	PUNCT
ejpam-4662	610	10	leads	lead	VERB
ejpam-4662	610	11	to	to	ADP
ejpam-4662	610	12	s.	s.	PROPN
ejpam-4662	610	13	dembele	dembele	PROPN
ejpam-4662	610	14	et	et	PROPN
ejpam-4662	610	15	al	al	PROPN
ejpam-4662	610	16	.	.	PUNCT
ejpam-4662	610	17	/	/	SYM
ejpam-4662	610	18	eur	eur	PROPN
ejpam-4662	610	19	.	.	PUNCT
ejpam-4662	611	1	j.	j.	PROPN
ejpam-4662	611	2	pure	pure	PROPN
ejpam-4662	611	3	appl	appl	PROPN
ejpam-4662	611	4	.	.	PROPN
ejpam-4662	611	5	math	math	PROPN
ejpam-4662	611	6	,	,	PUNCT
ejpam-4662	611	7	16	16	NUM
ejpam-4662	611	8	(	(	PUNCT
ejpam-4662	611	9	1	1	NUM
ejpam-4662	611	10	)	)	PUNCT
ejpam-4662	611	11	(	(	PUNCT
ejpam-4662	611	12	2023	2023	NUM
ejpam-4662	611	13	)	)	PUNCT
ejpam-4662	611	14	,	,	PUNCT
ejpam-4662	611	15	609	609	NUM
ejpam-4662	611	16	-	-	SYM
ejpam-4662	611	17	656	656	NUM
ejpam-4662	611	18	640	640	NUM
ejpam-4662	611	19	x	x	NOUN
ejpam-4662	611	20	c	c	NOUN
ejpam-4662	611	21	=	=	PUNCT
ejpam-4662	611	22	[	[	PUNCT
ejpam-4662	611	23	1	1	NUM
ejpam-4662	611	24	+	+	CCONJ
ejpam-4662	611	25	r−cuc	r−cuc	ADJ
ejpam-4662	611	26	(	(	PUNCT
ejpam-4662	611	27	1	1	NUM
ejpam-4662	611	28	+	+	NUM
ejpam-4662	611	29	c(r	c(r	NOUN
ejpam-4662	611	30	+	+	CCONJ
ejpam-4662	611	31	1	1	X
ejpam-4662	611	32	)	)	PUNCT
ejpam-4662	611	33	2r	2r	NUM
ejpam-4662	611	34	u+o	u+o	NUM
ejpam-4662	612	1	(	(	PUNCT
ejpam-4662	612	2	u2	u2	PROPN
ejpam-4662	612	3	)	)	PUNCT
ejpam-4662	612	4	)	)	PUNCT
ejpam-4662	613	1	]	]	PUNCT
ejpam-4662	613	2	−1	−1	NOUN
ejpam-4662	613	3	.	.	PUNCT
ejpam-4662	614	1	(	(	PUNCT
ejpam-4662	614	2	51	51	NUM
ejpam-4662	614	3	)	)	PUNCT
ejpam-4662	614	4	since	since	SCONJ
ejpam-4662	614	5	c	c	PROPN
ejpam-4662	614	6	>	>	X
ejpam-4662	614	7	0	0	NUM
ejpam-4662	614	8	,	,	PUNCT
ejpam-4662	614	9	we	we	PRON
ejpam-4662	614	10	have	have	VERB
ejpam-4662	614	11	r−cuc	r−cuc	NOUN
ejpam-4662	614	12	(	(	PUNCT
ejpam-4662	614	13	1	1	NUM
ejpam-4662	614	14	+	+	CCONJ
ejpam-4662	614	15	c(r+1	c(r+1	PROPN
ejpam-4662	614	16	)	)	PUNCT
ejpam-4662	615	1	2r	2r	NUM
ejpam-4662	615	2	u+o	u+o	NUM
ejpam-4662	616	1	(	(	PUNCT
ejpam-4662	616	2	u2	u2	PROPN
ejpam-4662	616	3	)	)	PUNCT
ejpam-4662	616	4	)	)	PUNCT
ejpam-4662	617	1	→	→	SYM
ejpam-4662	617	2	0	0	PUNCT
ejpam-4662	617	3	as	as	ADP
ejpam-4662	617	4	u	u	NOUN
ejpam-4662	617	5	→	→	SYM
ejpam-4662	617	6	0	0	NUM
ejpam-4662	617	7	.	.	PUNCT
ejpam-4662	618	1	equation	equation	NOUN
ejpam-4662	618	2	(	(	PUNCT
ejpam-4662	618	3	51	51	NUM
ejpam-4662	618	4	)	)	PUNCT
ejpam-4662	618	5	,	,	PUNCT
ejpam-4662	618	6	leads	lead	VERB
ejpam-4662	618	7	to	to	ADP
ejpam-4662	618	8	x	x	PROPN
ejpam-4662	618	9	c	c	NOUN
ejpam-4662	618	10	=	=	SYM
ejpam-4662	618	11	1−	1−	NUM
ejpam-4662	618	12	r−cuc	r−cuc	NOUN
ejpam-4662	618	13	(	(	PUNCT
ejpam-4662	618	14	1	1	NUM
ejpam-4662	618	15	+	+	NUM
ejpam-4662	618	16	c(r	c(r	NOUN
ejpam-4662	618	17	+	+	CCONJ
ejpam-4662	618	18	1	1	X
ejpam-4662	618	19	)	)	PUNCT
ejpam-4662	618	20	2r	2r	NUM
ejpam-4662	618	21	u+o	u+o	NUM
ejpam-4662	618	22	(	(	PUNCT
ejpam-4662	618	23	u2	u2	PROPN
ejpam-4662	618	24	)	)	PUNCT
ejpam-4662	618	25	)	)	PUNCT
ejpam-4662	618	26	.	.	PUNCT
ejpam-4662	619	1	that	that	PRON
ejpam-4662	619	2	leads	lead	VERB
ejpam-4662	619	3	to	to	ADP
ejpam-4662	619	4	,	,	PUNCT
ejpam-4662	619	5	x	x	PUNCT
ejpam-4662	619	6	=	=	SYM
ejpam-4662	619	7	c−	c−	X
ejpam-4662	619	8	cr−cuc	cr−cuc	NOUN
ejpam-4662	619	9	(	(	PUNCT
ejpam-4662	619	10	1	1	NUM
ejpam-4662	619	11	+	+	NUM
ejpam-4662	619	12	c(r	c(r	NOUN
ejpam-4662	619	13	+	+	CCONJ
ejpam-4662	619	14	1	1	X
ejpam-4662	619	15	)	)	PUNCT
ejpam-4662	619	16	2r	2r	NUM
ejpam-4662	619	17	u+o	u+o	NUM
ejpam-4662	619	18	(	(	PUNCT
ejpam-4662	619	19	u2	u2	PROPN
ejpam-4662	619	20	)	)	PUNCT
ejpam-4662	619	21	)	)	PUNCT
ejpam-4662	619	22	.	.	PUNCT
ejpam-4662	620	1	finally	finally	ADV
ejpam-4662	620	2	,	,	PUNCT
ejpam-4662	620	3	we	we	PRON
ejpam-4662	620	4	have	have	VERB
ejpam-4662	620	5	uep(f	uep(f	PROPN
ejpam-4662	620	6	)	)	PUNCT
ejpam-4662	620	7	−	−	PROPN
ejpam-4662	621	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	621	2	u	u	PROPN
ejpam-4662	621	3	)	)	PUNCT
ejpam-4662	621	4	=	=	PUNCT
ejpam-4662	621	5	cr−cuc	cr−cuc	NOUN
ejpam-4662	621	6	(	(	PUNCT
ejpam-4662	621	7	1	1	NUM
ejpam-4662	621	8	+	+	NUM
ejpam-4662	621	9	c(r	c(r	NOUN
ejpam-4662	621	10	+	+	CCONJ
ejpam-4662	621	11	1	1	X
ejpam-4662	621	12	)	)	PUNCT
ejpam-4662	621	13	2r	2r	NUM
ejpam-4662	621	14	u+o	u+o	NUM
ejpam-4662	621	15	(	(	PUNCT
ejpam-4662	621	16	u2	u2	PROPN
ejpam-4662	621	17	)	)	PUNCT
ejpam-4662	621	18	)	)	PUNCT
ejpam-4662	621	19	.	.	PUNCT
ejpam-4662	622	1	(	(	PUNCT
ejpam-4662	622	2	52	52	NUM
ejpam-4662	622	3	)	)	PUNCT
ejpam-4662	622	4	quantile	quantile	NOUN
ejpam-4662	622	5	of	of	ADP
ejpam-4662	622	6	burr	burr	NOUN
ejpam-4662	622	7	v	v	ADP
ejpam-4662	622	8	distribution	distribution	NOUN
ejpam-4662	622	9	of	of	ADP
ejpam-4662	622	10	parameters	parameter	NOUN
ejpam-4662	623	1	k	k	X
ejpam-4662	623	2	>	>	X
ejpam-4662	623	3	0	0	PUNCT
ejpam-4662	623	4	and	and	CCONJ
ejpam-4662	623	5	r	r	X
ejpam-4662	623	6	>	>	X
ejpam-4662	623	7	0	0	NUM
ejpam-4662	623	8	.	.	PUNCT
ejpam-4662	624	1	its	its	PRON
ejpam-4662	624	2	support	support	NOUN
ejpam-4662	624	3	is	be	AUX
ejpam-4662	624	4	v	v	ADP
ejpam-4662	624	5	=	=	SYM
ejpam-4662	625	1	[	[	X
ejpam-4662	625	2	−π/2	−π/2	PROPN
ejpam-4662	625	3	,	,	PUNCT
ejpam-4662	625	4	π/2	π/2	NUM
ejpam-4662	625	5	]	]	PUNCT
ejpam-4662	625	6	and	and	CCONJ
ejpam-4662	625	7	its	its	PRON
ejpam-4662	625	8	cdf	cdf	PROPN
ejpam-4662	625	9	is	be	AUX
ejpam-4662	625	10	1−	1−	NUM
ejpam-4662	625	11	u	u	NOUN
ejpam-4662	625	12	=	=	PUNCT
ejpam-4662	625	13	(	(	PUNCT
ejpam-4662	625	14	1	1	NUM
ejpam-4662	625	15	+	+	CCONJ
ejpam-4662	625	16	ke−	ke−	PROPN
ejpam-4662	625	17	tanx	tanx	NOUN
ejpam-4662	625	18	)	)	PUNCT
ejpam-4662	625	19	−r	−r	ADJ
ejpam-4662	625	20	,	,	PUNCT
ejpam-4662	625	21	x	x	PUNCT
ejpam-4662	625	22	∈	∈	PROPN
ejpam-4662	625	23	v	v	NOUN
ejpam-4662	625	24	,	,	PUNCT
ejpam-4662	625	25	u	u	NOUN
ejpam-4662	625	26	∈]0	∈]0	ADJ
ejpam-4662	625	27	,	,	PUNCT
ejpam-4662	625	28	1	1	NUM
ejpam-4662	625	29	[	[	NOUN
ejpam-4662	625	30	.	.	PUNCT
ejpam-4662	626	1	(	(	PUNCT
ejpam-4662	626	2	fv	fv	PROPN
ejpam-4662	626	3	)	)	PUNCT
ejpam-4662	626	4	by	by	ADP
ejpam-4662	626	5	applying	apply	VERB
ejpam-4662	626	6	expansion	expansion	NOUN
ejpam-4662	626	7	(	(	PUNCT
ejpam-4662	626	8	46	46	NUM
ejpam-4662	626	9	)	)	PUNCT
ejpam-4662	626	10	on	on	ADP
ejpam-4662	626	11	(	(	PUNCT
ejpam-4662	626	12	fv	fv	INTJ
ejpam-4662	626	13	)	)	PUNCT
ejpam-4662	626	14	,	,	PUNCT
ejpam-4662	626	15	we	we	PRON
ejpam-4662	626	16	get	get	VERB
ejpam-4662	626	17	u	u	NOUN
ejpam-4662	626	18	=	=	NOUN
ejpam-4662	626	19	1−	1−	NUM
ejpam-4662	626	20	f	f	X
ejpam-4662	626	21	(	(	PUNCT
ejpam-4662	626	22	x	x	NOUN
ejpam-4662	626	23	)	)	PUNCT
ejpam-4662	626	24	,	,	PUNCT
ejpam-4662	626	25	(	(	PUNCT
ejpam-4662	626	26	1−	1−	NUM
ejpam-4662	626	27	u)−1	u)−1	NOUN
ejpam-4662	626	28	/	/	SYM
ejpam-4662	626	29	r	r	NOUN
ejpam-4662	626	30	=	=	SYM
ejpam-4662	626	31	1	1	NUM
ejpam-4662	626	32	+	+	CCONJ
ejpam-4662	626	33	ke−	ke−	PROPN
ejpam-4662	626	34	tan(x	tan(x	NOUN
ejpam-4662	626	35	)	)	PUNCT
ejpam-4662	626	36	.	.	PUNCT
ejpam-4662	627	1	by	by	ADP
ejpam-4662	627	2	(	(	PUNCT
ejpam-4662	627	3	46	46	NUM
ejpam-4662	627	4	)	)	PUNCT
ejpam-4662	627	5	,	,	PUNCT
ejpam-4662	627	6	we	we	PRON
ejpam-4662	627	7	get	get	VERB
ejpam-4662	627	8	1	1	NUM
ejpam-4662	627	9	+	+	CCONJ
ejpam-4662	627	10	ke−	ke−	X
ejpam-4662	627	11	tan(x	tan(x	NOUN
ejpam-4662	627	12	)	)	PUNCT
ejpam-4662	627	13	=	=	SYM
ejpam-4662	628	1	1	1	NUM
ejpam-4662	628	2	+	+	NUM
ejpam-4662	628	3	u	u	NOUN
ejpam-4662	628	4	r	r	NOUN
ejpam-4662	628	5	+	+	NOUN
ejpam-4662	628	6	r	r	NOUN
ejpam-4662	628	7	−	−	NUM
ejpam-4662	628	8	1	1	NUM
ejpam-4662	628	9	2r2	2r2	NUM
ejpam-4662	628	10	u2	u2	PROPN
ejpam-4662	628	11	+	+	PROPN
ejpam-4662	628	12	o	o	X
ejpam-4662	628	13	(	(	PUNCT
ejpam-4662	628	14	u3	u3	PROPN
ejpam-4662	628	15	)	)	PUNCT
ejpam-4662	628	16	.	.	PUNCT
ejpam-4662	629	1	and	and	CCONJ
ejpam-4662	629	2	so	so	ADV
ejpam-4662	629	3	,	,	PUNCT
ejpam-4662	629	4	we	we	PRON
ejpam-4662	629	5	get	get	VERB
ejpam-4662	629	6	e−	e−	NOUN
ejpam-4662	629	7	tan(x	tan(x	ADP
ejpam-4662	629	8	)	)	PUNCT
ejpam-4662	629	9	=	=	SYM
ejpam-4662	630	1	1	1	NUM
ejpam-4662	630	2	k	k	NOUN
ejpam-4662	630	3	(	(	PUNCT
ejpam-4662	630	4	u	u	NOUN
ejpam-4662	630	5	r	r	NOUN
ejpam-4662	631	1	+	+	CCONJ
ejpam-4662	632	1	(	(	PUNCT
ejpam-4662	632	2	r	r	NOUN
ejpam-4662	632	3	−	−	PROPN
ejpam-4662	632	4	1	1	NUM
ejpam-4662	632	5	)	)	PUNCT
ejpam-4662	632	6	2r2	2r2	NUM
ejpam-4662	633	1	u2	u2	NOUN
ejpam-4662	633	2	+	+	PROPN
ejpam-4662	633	3	o	o	X
ejpam-4662	633	4	(	(	PUNCT
ejpam-4662	633	5	u3	u3	PROPN
ejpam-4662	633	6	)	)	PUNCT
ejpam-4662	633	7	)	)	PUNCT
ejpam-4662	633	8	.	.	PUNCT
ejpam-4662	634	1	(	(	PUNCT
ejpam-4662	634	2	53	53	NUM
ejpam-4662	634	3	)	)	PUNCT
ejpam-4662	634	4	s.	s.	PROPN
ejpam-4662	634	5	dembele	dembele	PROPN
ejpam-4662	634	6	et	et	PROPN
ejpam-4662	634	7	al	al	PROPN
ejpam-4662	634	8	.	.	PUNCT
ejpam-4662	634	9	/	/	SYM
ejpam-4662	634	10	eur	eur	PROPN
ejpam-4662	634	11	.	.	PUNCT
ejpam-4662	635	1	j.	j.	PROPN
ejpam-4662	635	2	pure	pure	PROPN
ejpam-4662	635	3	appl	appl	PROPN
ejpam-4662	635	4	.	.	PROPN
ejpam-4662	635	5	math	math	PROPN
ejpam-4662	635	6	,	,	PUNCT
ejpam-4662	635	7	16	16	NUM
ejpam-4662	635	8	(	(	PUNCT
ejpam-4662	635	9	1	1	NUM
ejpam-4662	635	10	)	)	PUNCT
ejpam-4662	635	11	(	(	PUNCT
ejpam-4662	635	12	2023	2023	NUM
ejpam-4662	635	13	)	)	PUNCT
ejpam-4662	635	14	,	,	PUNCT
ejpam-4662	635	15	609	609	NUM
ejpam-4662	635	16	-	-	SYM
ejpam-4662	635	17	656	656	NUM
ejpam-4662	635	18	641	641	NUM
ejpam-4662	635	19	let	let	VERB
ejpam-4662	635	20	us	we	PRON
ejpam-4662	635	21	set	set	VERB
ejpam-4662	635	22	h	h	NOUN
ejpam-4662	635	23	(	(	PUNCT
ejpam-4662	635	24	x	x	NOUN
ejpam-4662	635	25	)	)	PUNCT
ejpam-4662	635	26	=	=	SYM
ejpam-4662	636	1	e−	e−	PROPN
ejpam-4662	636	2	tan(x	tan(x	ADP
ejpam-4662	636	3	)	)	PUNCT
ejpam-4662	636	4	,	,	PUNCT
ejpam-4662	636	5	x	x	X
ejpam-4662	636	6	∈]−	∈]−	PROPN
ejpam-4662	636	7	π	π	X
ejpam-4662	636	8	2	2	NUM
ejpam-4662	636	9	,	,	PUNCT
ejpam-4662	636	10	π	π	PROPN
ejpam-4662	636	11	2	2	NUM
ejpam-4662	637	1	[	[	X
ejpam-4662	637	2	.	.	PUNCT
ejpam-4662	638	1	so	so	ADV
ejpam-4662	638	2	,	,	PUNCT
ejpam-4662	638	3	we	we	PRON
ejpam-4662	638	4	get	get	VERB
ejpam-4662	638	5	x	x	X
ejpam-4662	639	1	=	=	SYM
ejpam-4662	639	2	h−1	h−1	PROPN
ejpam-4662	639	3	(	(	PUNCT
ejpam-4662	639	4	1	1	NUM
ejpam-4662	639	5	k	k	X
ejpam-4662	639	6	(	(	PUNCT
ejpam-4662	639	7	u	u	NOUN
ejpam-4662	639	8	r	r	NOUN
ejpam-4662	639	9	+	+	CCONJ
ejpam-4662	639	10	(	(	PUNCT
ejpam-4662	639	11	r	r	NOUN
ejpam-4662	639	12	−	−	PROPN
ejpam-4662	639	13	1	1	NUM
ejpam-4662	639	14	)	)	PUNCT
ejpam-4662	639	15	2r2	2r2	NUM
ejpam-4662	639	16	u2	u2	NOUN
ejpam-4662	639	17	+	+	PROPN
ejpam-4662	639	18	o	o	X
ejpam-4662	639	19	(	(	PUNCT
ejpam-4662	639	20	u3	u3	PROPN
ejpam-4662	639	21	)	)	PUNCT
ejpam-4662	639	22	)	)	PUNCT
ejpam-4662	639	23	)	)	PUNCT
ejpam-4662	639	24	.	.	PUNCT
ejpam-4662	640	1	let	let	VERB
ejpam-4662	640	2	us	we	PRON
ejpam-4662	640	3	find	find	VERB
ejpam-4662	640	4	h−1	h−1	PROPN
ejpam-4662	640	5	.	.	PUNCT
ejpam-4662	641	1	we	we	PRON
ejpam-4662	641	2	begin	begin	VERB
ejpam-4662	641	3	by	by	ADP
ejpam-4662	641	4	remarking	remark	VERB
ejpam-4662	641	5	that	that	SCONJ
ejpam-4662	641	6	∀x	∀x	NUM
ejpam-4662	641	7	∈]−	∈]−	PROPN
ejpam-4662	641	8	π	π	X
ejpam-4662	641	9	2	2	NUM
ejpam-4662	641	10	,	,	PUNCT
ejpam-4662	641	11	π	π	PROPN
ejpam-4662	641	12	2	2	NUM
ejpam-4662	641	13	[	[	X
ejpam-4662	641	14	,	,	PUNCT
ejpam-4662	641	15	tan	tan	PROPN
ejpam-4662	641	16	(	(	PUNCT
ejpam-4662	641	17	x	x	NOUN
ejpam-4662	641	18	)	)	PUNCT
ejpam-4662	641	19	=	=	SYM
ejpam-4662	641	20	1	1	NUM
ejpam-4662	641	21	tan	tan	PROPN
ejpam-4662	641	22	(	(	PUNCT
ejpam-4662	641	23	π	π	PROPN
ejpam-4662	641	24	2	2	NUM
ejpam-4662	641	25	−	−	NOUN
ejpam-4662	641	26	x	x	SYM
ejpam-4662	641	27	)	)	PUNCT
ejpam-4662	641	28	.	.	PUNCT
ejpam-4662	642	1	we	we	PRON
ejpam-4662	642	2	set	set	VERB
ejpam-4662	642	3	x	x	PUNCT
ejpam-4662	642	4	=	=	SYM
ejpam-4662	642	5	π	π	SYM
ejpam-4662	642	6	2	2	NUM
ejpam-4662	642	7	−	−	NOUN
ejpam-4662	642	8	x.	x.	NOUN
ejpam-4662	642	9	and	and	CCONJ
ejpam-4662	642	10	remark	remark	VERB
ejpam-4662	642	11	that	that	SCONJ
ejpam-4662	642	12	x	x	X
ejpam-4662	642	13	→	→	SYM
ejpam-4662	642	14	0	0	NUM
ejpam-4662	642	15	+	+	NOUN
ejpam-4662	642	16	as	as	SCONJ
ejpam-4662	642	17	x	x	X
ejpam-4662	642	18	→	→	PUNCT
ejpam-4662	642	19	(	(	PUNCT
ejpam-4662	642	20	π/2)−.	π/2)−.	NOUN
ejpam-4662	642	21	we	we	PRON
ejpam-4662	642	22	expand	expand	VERB
ejpam-4662	642	23	tan	tan	PROPN
ejpam-4662	642	24	(	(	PUNCT
ejpam-4662	642	25	x	x	NOUN
ejpam-4662	642	26	)	)	PUNCT
ejpam-4662	642	27	as	as	SCONJ
ejpam-4662	642	28	follows	follow	VERB
ejpam-4662	642	29	tan	tan	PROPN
ejpam-4662	642	30	(	(	PUNCT
ejpam-4662	642	31	x	x	NOUN
ejpam-4662	642	32	)	)	PUNCT
ejpam-4662	642	33	=	=	SYM
ejpam-4662	643	1	x	x	PUNCT
ejpam-4662	644	1	+	+	CCONJ
ejpam-4662	644	2	x3	x3	ADJ
ejpam-4662	644	3	3	3	NUM
ejpam-4662	644	4	+	+	SYM
ejpam-4662	644	5	2	2	NUM
ejpam-4662	644	6	15	15	NUM
ejpam-4662	644	7	x5	x5	NOUN
ejpam-4662	645	1	+	+	PROPN
ejpam-4662	645	2	o	o	X
ejpam-4662	645	3	(	(	PUNCT
ejpam-4662	645	4	x7	x7	NOUN
ejpam-4662	645	5	)	)	PUNCT
ejpam-4662	645	6	.	.	PUNCT
ejpam-4662	646	1	hence	hence	ADV
ejpam-4662	646	2	,	,	PUNCT
ejpam-4662	646	3	tan	tan	PROPN
ejpam-4662	646	4	(	(	PUNCT
ejpam-4662	646	5	x	x	NOUN
ejpam-4662	646	6	)	)	PUNCT
ejpam-4662	646	7	=	=	SYM
ejpam-4662	646	8	1	1	NUM
ejpam-4662	646	9	tan	tan	PROPN
ejpam-4662	646	10	(	(	PUNCT
ejpam-4662	646	11	x	x	NOUN
ejpam-4662	646	12	)	)	PUNCT
ejpam-4662	646	13	=	=	SYM
ejpam-4662	646	14	x−1	x−1	PROPN
ejpam-4662	646	15	(	(	PUNCT
ejpam-4662	646	16	1	1	NUM
ejpam-4662	646	17	+	+	NUM
ejpam-4662	646	18	x2	x2	PROPN
ejpam-4662	646	19	3	3	NUM
ejpam-4662	646	20	+	+	NUM
ejpam-4662	646	21	2	2	NUM
ejpam-4662	646	22	15	15	NUM
ejpam-4662	646	23	x4	x4	NOUN
ejpam-4662	647	1	+	+	PROPN
ejpam-4662	647	2	o	o	X
ejpam-4662	647	3	(	(	PUNCT
ejpam-4662	647	4	x6	x6	PROPN
ejpam-4662	647	5	)	)	PUNCT
ejpam-4662	647	6	)	)	PUNCT
ejpam-4662	647	7	−1	−1	NOUN
ejpam-4662	648	1	=	=	SYM
ejpam-4662	648	2	x−1	x−1	PROPN
ejpam-4662	648	3	(	(	PUNCT
ejpam-4662	648	4	1−	1−	NUM
ejpam-4662	648	5	x2	x2	NOUN
ejpam-4662	648	6	3	3	NUM
ejpam-4662	648	7	+	+	CCONJ
ejpam-4662	648	8	7	7	NUM
ejpam-4662	648	9	90	90	NUM
ejpam-4662	648	10	x4	x4	NOUN
ejpam-4662	649	1	+	+	PROPN
ejpam-4662	649	2	o	o	X
ejpam-4662	649	3	(	(	PUNCT
ejpam-4662	649	4	x6	x6	PROPN
ejpam-4662	649	5	)	)	PUNCT
ejpam-4662	649	6	)	)	PUNCT
ejpam-4662	649	7	.	.	PUNCT
ejpam-4662	650	1	we	we	PRON
ejpam-4662	650	2	had	have	AUX
ejpam-4662	650	3	already	already	ADV
ejpam-4662	650	4	set	set	VERB
ejpam-4662	650	5	tan(x	tan(x	ADP
ejpam-4662	650	6	)	)	PUNCT
ejpam-4662	650	7	=	=	SYM
ejpam-4662	651	1	y	y	PROPN
ejpam-4662	651	2	=	=	SYM
ejpam-4662	651	3	−	−	PROPN
ejpam-4662	651	4	log	log	NOUN
ejpam-4662	651	5	y	y	PROPN
ejpam-4662	651	6	,	,	PUNCT
ejpam-4662	651	7	as	as	ADP
ejpam-4662	651	8	y	y	PROPN
ejpam-4662	651	9	↓	↓	PROPN
ejpam-4662	651	10	0	0	NUM
ejpam-4662	651	11	.	.	PUNCT
ejpam-4662	652	1	(	(	PUNCT
ejpam-4662	652	2	54	54	NUM
ejpam-4662	652	3	)	)	PUNCT
ejpam-4662	653	1	so	so	ADV
ejpam-4662	653	2	,	,	PUNCT
ejpam-4662	653	3	we	we	PRON
ejpam-4662	653	4	have	have	VERB
ejpam-4662	653	5	y	y	PROPN
ejpam-4662	653	6	=	=	SYM
ejpam-4662	653	7	x−1	x−1	PROPN
ejpam-4662	653	8	(	(	PUNCT
ejpam-4662	653	9	1−	1−	NUM
ejpam-4662	653	10	x2	x2	NOUN
ejpam-4662	653	11	3	3	NUM
ejpam-4662	653	12	+	+	CCONJ
ejpam-4662	653	13	7	7	NUM
ejpam-4662	653	14	90	90	NUM
ejpam-4662	653	15	x4	x4	NOUN
ejpam-4662	654	1	+	+	PROPN
ejpam-4662	654	2	o	o	X
ejpam-4662	654	3	(	(	PUNCT
ejpam-4662	654	4	x6	x6	PROPN
ejpam-4662	654	5	)	)	PUNCT
ejpam-4662	654	6	)	)	PUNCT
ejpam-4662	654	7	.	.	PUNCT
ejpam-4662	655	1	s.	s.	PROPN
ejpam-4662	655	2	dembele	dembele	PROPN
ejpam-4662	655	3	et	et	PROPN
ejpam-4662	655	4	al	al	PROPN
ejpam-4662	655	5	.	.	PUNCT
ejpam-4662	655	6	/	/	SYM
ejpam-4662	655	7	eur	eur	PROPN
ejpam-4662	655	8	.	.	PUNCT
ejpam-4662	656	1	j.	j.	PROPN
ejpam-4662	656	2	pure	pure	PROPN
ejpam-4662	656	3	appl	appl	PROPN
ejpam-4662	656	4	.	.	PROPN
ejpam-4662	656	5	math	math	PROPN
ejpam-4662	656	6	,	,	PUNCT
ejpam-4662	656	7	16	16	NUM
ejpam-4662	656	8	(	(	PUNCT
ejpam-4662	656	9	1	1	NUM
ejpam-4662	656	10	)	)	PUNCT
ejpam-4662	656	11	(	(	PUNCT
ejpam-4662	656	12	2023	2023	NUM
ejpam-4662	656	13	)	)	PUNCT
ejpam-4662	656	14	,	,	PUNCT
ejpam-4662	656	15	609	609	NUM
ejpam-4662	656	16	-	-	SYM
ejpam-4662	656	17	656	656	NUM
ejpam-4662	656	18	642	642	NUM
ejpam-4662	656	19	by	by	ADP
ejpam-4662	656	20	the	the	DET
ejpam-4662	656	21	routine	routine	ADJ
ejpam-4662	656	22	methods	method	NOUN
ejpam-4662	656	23	developed	develop	VERB
ejpam-4662	656	24	earlier	early	ADV
ejpam-4662	657	1	,	,	PUNCT
ejpam-4662	657	2	we	we	PRON
ejpam-4662	657	3	have	have	VERB
ejpam-4662	657	4	x	x	NOUN
ejpam-4662	657	5	=	=	SYM
ejpam-4662	657	6	y	y	NUM
ejpam-4662	657	7	−1	−1	NOUN
ejpam-4662	657	8	(	(	PUNCT
ejpam-4662	657	9	1−	1−	NUM
ejpam-4662	657	10	1	1	NUM
ejpam-4662	657	11	3	3	NUM
ejpam-4662	657	12	y	y	PROPN
ejpam-4662	657	13	−2	−2	NOUN
ejpam-4662	658	1	+	+	NOUN
ejpam-4662	658	2	o	o	X
ejpam-4662	658	3	(	(	PUNCT
ejpam-4662	658	4	y	y	NOUN
ejpam-4662	658	5	−4	−4	PROPN
ejpam-4662	658	6	)	)	PUNCT
ejpam-4662	658	7	)	)	PUNCT
ejpam-4662	658	8	.	.	PUNCT
ejpam-4662	659	1	so	so	ADV
ejpam-4662	659	2	π	π	NOUN
ejpam-4662	659	3	2	2	NUM
ejpam-4662	659	4	−	−	NOUN
ejpam-4662	659	5	x	x	SYM
ejpam-4662	659	6	=	=	PUNCT
ejpam-4662	659	7	(	(	PUNCT
ejpam-4662	659	8	log	log	PROPN
ejpam-4662	659	9	(	(	PUNCT
ejpam-4662	659	10	1	1	NUM
ejpam-4662	659	11	/	/	SYM
ejpam-4662	659	12	y))−1	y))−1	PROPN
ejpam-4662	659	13	(	(	PUNCT
ejpam-4662	659	14	1−	1−	NUM
ejpam-4662	659	15	(	(	PUNCT
ejpam-4662	659	16	log	log	NOUN
ejpam-4662	659	17	(	(	PUNCT
ejpam-4662	659	18	1	1	NUM
ejpam-4662	659	19	/	/	SYM
ejpam-4662	659	20	y))−2	y))−2	NOUN
ejpam-4662	659	21	3	3	NUM
ejpam-4662	660	1	+	+	NOUN
ejpam-4662	660	2	o	o	X
ejpam-4662	660	3	(	(	PUNCT
ejpam-4662	660	4	log	log	NOUN
ejpam-4662	660	5	(	(	PUNCT
ejpam-4662	660	6	1	1	NUM
ejpam-4662	660	7	/	/	SYM
ejpam-4662	660	8	y)−4	y)−4	NOUN
ejpam-4662	660	9	)	)	PUNCT
ejpam-4662	660	10	)	)	PUNCT
ejpam-4662	660	11	.	.	PUNCT
ejpam-4662	661	1	(	(	PUNCT
ejpam-4662	661	2	55	55	NUM
ejpam-4662	661	3	)	)	PUNCT
ejpam-4662	661	4	by	by	ADP
ejpam-4662	661	5	formula	formula	NOUN
ejpam-4662	661	6	(	(	PUNCT
ejpam-4662	661	7	54	54	NUM
ejpam-4662	661	8	)	)	PUNCT
ejpam-4662	661	9	,	,	PUNCT
ejpam-4662	661	10	we	we	PRON
ejpam-4662	661	11	have	have	VERB
ejpam-4662	661	12	tanx	tanx	NOUN
ejpam-4662	661	13	=	=	PUNCT
ejpam-4662	661	14	−	−	NOUN
ejpam-4662	661	15	log	log	NOUN
ejpam-4662	661	16	y	y	PROPN
ejpam-4662	661	17	⇐	⇐	ADJ
ejpam-4662	661	18	⇒	⇒	NOUN
ejpam-4662	661	19	e−	e−	PROPN
ejpam-4662	661	20	tanx	tanx	NOUN
ejpam-4662	661	21	=	=	PUNCT
ejpam-4662	661	22	y	y	PROPN
ejpam-4662	661	23	⇐	⇐	PROPN
ejpam-4662	661	24	⇒	⇒	PROPN
ejpam-4662	661	25	h	h	NOUN
ejpam-4662	661	26	(	(	PUNCT
ejpam-4662	661	27	x	x	X
ejpam-4662	661	28	)	)	PUNCT
ejpam-4662	661	29	=	=	SYM
ejpam-4662	662	1	y.	y.	NOUN
ejpam-4662	662	2	but	but	CCONJ
ejpam-4662	662	3	from	from	ADP
ejpam-4662	662	4	formulas	formula	NOUN
ejpam-4662	662	5	(	(	PUNCT
ejpam-4662	662	6	53	53	NUM
ejpam-4662	662	7	)	)	PUNCT
ejpam-4662	662	8	and	and	CCONJ
ejpam-4662	662	9	(	(	PUNCT
ejpam-4662	662	10	54	54	NUM
ejpam-4662	662	11	)	)	PUNCT
ejpam-4662	662	12	,	,	PUNCT
ejpam-4662	662	13	we	we	PRON
ejpam-4662	662	14	may	may	AUX
ejpam-4662	662	15	take	take	VERB
ejpam-4662	662	16	y	y	NOUN
ejpam-4662	662	17	=	=	NOUN
ejpam-4662	662	18	:	:	PUNCT
ejpam-4662	662	19	y	y	PROPN
ejpam-4662	662	20	(	(	PUNCT
ejpam-4662	662	21	u	u	NOUN
ejpam-4662	662	22	)	)	PUNCT
ejpam-4662	662	23	=	=	SYM
ejpam-4662	662	24	u	u	NOUN
ejpam-4662	662	25	kr	kr	PROPN
ejpam-4662	662	26	(	(	PUNCT
ejpam-4662	662	27	1	1	NUM
ejpam-4662	662	28	+	+	CCONJ
ejpam-4662	662	29	r	r	NOUN
ejpam-4662	662	30	+	+	CCONJ
ejpam-4662	662	31	1	1	NUM
ejpam-4662	662	32	2r	2r	NUM
ejpam-4662	662	33	u+o	u+o	NUM
ejpam-4662	662	34	(	(	PUNCT
ejpam-4662	662	35	u2	u2	PROPN
ejpam-4662	662	36	)	)	PUNCT
ejpam-4662	662	37	)	)	PUNCT
ejpam-4662	662	38	.	.	PUNCT
ejpam-4662	663	1	hence	hence	ADV
ejpam-4662	663	2	,	,	PUNCT
ejpam-4662	663	3	formula	formula	NOUN
ejpam-4662	663	4	(	(	PUNCT
ejpam-4662	663	5	55	55	NUM
ejpam-4662	663	6	)	)	PUNCT
ejpam-4662	663	7	becomes	become	VERB
ejpam-4662	663	8	π	π	PROPN
ejpam-4662	663	9	2	2	NUM
ejpam-4662	663	10	−	−	NOUN
ejpam-4662	663	11	x	x	SYM
ejpam-4662	664	1	=	=	PRON
ejpam-4662	664	2	log	log	NOUN
ejpam-4662	664	3	(	(	PUNCT
ejpam-4662	664	4	1	1	NUM
ejpam-4662	664	5	/	/	SYM
ejpam-4662	664	6	y	y	PROPN
ejpam-4662	664	7	(	(	PUNCT
ejpam-4662	664	8	u))−1	u))−1	PROPN
ejpam-4662	664	9	(	(	PUNCT
ejpam-4662	664	10	1−	1−	NUM
ejpam-4662	664	11	log	log	NOUN
ejpam-4662	664	12	(	(	PUNCT
ejpam-4662	664	13	1	1	NUM
ejpam-4662	664	14	/	/	SYM
ejpam-4662	664	15	y	y	PROPN
ejpam-4662	664	16	(	(	PUNCT
ejpam-4662	664	17	u))−2	u))−2	NOUN
ejpam-4662	664	18	3	3	NUM
ejpam-4662	664	19	+	+	NOUN
ejpam-4662	664	20	o	o	X
ejpam-4662	664	21	(	(	PUNCT
ejpam-4662	664	22	log	log	NOUN
ejpam-4662	664	23	(	(	PUNCT
ejpam-4662	664	24	1	1	NUM
ejpam-4662	664	25	/	/	SYM
ejpam-4662	664	26	y	y	PROPN
ejpam-4662	664	27	(	(	PUNCT
ejpam-4662	664	28	u))−4	u))−4	PROPN
ejpam-4662	664	29	)	)	PUNCT
ejpam-4662	664	30	)	)	PUNCT
ejpam-4662	665	1	=	=	PRON
ejpam-4662	665	2	log	log	NOUN
ejpam-4662	665	3	(	(	PUNCT
ejpam-4662	665	4	1	1	NUM
ejpam-4662	665	5	/	/	SYM
ejpam-4662	665	6	y	y	PROPN
ejpam-4662	665	7	(	(	PUNCT
ejpam-4662	665	8	u))−1	u))−1	ADP
ejpam-4662	665	9	−	−	PROPN
ejpam-4662	665	10	log	log	NOUN
ejpam-4662	665	11	(	(	PUNCT
ejpam-4662	665	12	1	1	NUM
ejpam-4662	665	13	/	/	SYM
ejpam-4662	665	14	y	y	PROPN
ejpam-4662	665	15	(	(	PUNCT
ejpam-4662	665	16	u))−3	u))−3	NOUN
ejpam-4662	665	17	2	2	NUM
ejpam-4662	665	18	+	+	NOUN
ejpam-4662	665	19	o	o	X
ejpam-4662	665	20	(	(	PUNCT
ejpam-4662	665	21	log	log	NOUN
ejpam-4662	665	22	(	(	PUNCT
ejpam-4662	665	23	1	1	NUM
ejpam-4662	665	24	/	/	SYM
ejpam-4662	665	25	y	y	PROPN
ejpam-4662	665	26	(	(	PUNCT
ejpam-4662	665	27	u)))−5	u)))−5	PROPN
ejpam-4662	665	28	.	.	PUNCT
ejpam-4662	666	1	but	but	CCONJ
ejpam-4662	666	2	log	log	VERB
ejpam-4662	666	3	(	(	PUNCT
ejpam-4662	666	4	1	1	NUM
ejpam-4662	666	5	y	y	PROPN
ejpam-4662	666	6	(	(	PUNCT
ejpam-4662	666	7	u	u	NOUN
ejpam-4662	666	8	)	)	PUNCT
ejpam-4662	666	9	)	)	PUNCT
ejpam-4662	667	1	=	=	SYM
ejpam-4662	668	1	−	−	PROPN
ejpam-4662	668	2	log	log	NOUN
ejpam-4662	668	3	(	(	PUNCT
ejpam-4662	668	4	y	y	PROPN
ejpam-4662	668	5	(	(	PUNCT
ejpam-4662	668	6	u	u	NOUN
ejpam-4662	668	7	)	)	PUNCT
ejpam-4662	668	8	)	)	PUNCT
ejpam-4662	669	1	=	=	PRON
ejpam-4662	669	2	log	log	NOUN
ejpam-4662	669	3	(	(	PUNCT
ejpam-4662	669	4	kr	kr	PROPN
ejpam-4662	669	5	u	u	PROPN
ejpam-4662	669	6	)	)	PUNCT
ejpam-4662	669	7	−	−	PROPN
ejpam-4662	670	1	log	log	NOUN
ejpam-4662	670	2	[	[	PUNCT
ejpam-4662	670	3	1	1	NUM
ejpam-4662	670	4	+	+	CCONJ
ejpam-4662	670	5	r	r	NOUN
ejpam-4662	670	6	+	+	CCONJ
ejpam-4662	670	7	1	1	NUM
ejpam-4662	670	8	2r	2r	NUM
ejpam-4662	670	9	u+o	u+o	NUM
ejpam-4662	670	10	(	(	PUNCT
ejpam-4662	670	11	u2	u2	PROPN
ejpam-4662	670	12	)	)	PUNCT
ejpam-4662	670	13	]	]	X
ejpam-4662	670	14	−1	−1	NOUN
ejpam-4662	670	15	=	=	X
ejpam-4662	670	16	log	log	NOUN
ejpam-4662	670	17	(	(	PUNCT
ejpam-4662	670	18	kr	kr	PROPN
ejpam-4662	670	19	u	u	PROPN
ejpam-4662	670	20	)	)	PUNCT
ejpam-4662	670	21	(	(	PUNCT
ejpam-4662	670	22	1−	1−	NUM
ejpam-4662	670	23	r	r	NOUN
ejpam-4662	670	24	+	+	NUM
ejpam-4662	670	25	1	1	NUM
ejpam-4662	670	26	2r	2r	NUM
ejpam-4662	670	27	u	u	NOUN
ejpam-4662	670	28	log	log	VERB
ejpam-4662	670	29	kr	kr	PROPN
ejpam-4662	670	30	u	u	PROPN
ejpam-4662	671	1	+	+	PROPN
ejpam-4662	671	2	o	o	X
ejpam-4662	671	3	(	(	PUNCT
ejpam-4662	671	4	u2	u2	PROPN
ejpam-4662	671	5	log	log	NOUN
ejpam-4662	671	6	kr	kr	PROPN
ejpam-4662	671	7	u	u	PROPN
ejpam-4662	671	8	)	)	PUNCT
ejpam-4662	671	9	)	)	PUNCT
ejpam-4662	671	10	.	.	PUNCT
ejpam-4662	672	1	then	then	ADV
ejpam-4662	672	2	(	(	PUNCT
ejpam-4662	672	3	log	log	NOUN
ejpam-4662	672	4	1	1	NUM
ejpam-4662	672	5	y	y	PROPN
ejpam-4662	672	6	(	(	PUNCT
ejpam-4662	672	7	u	u	NOUN
ejpam-4662	672	8	)	)	PUNCT
ejpam-4662	672	9	)	)	PUNCT
ejpam-4662	672	10	−1	−1	NOUN
ejpam-4662	673	1	=	=	PUNCT
ejpam-4662	673	2	(	(	PUNCT
ejpam-4662	673	3	log	log	VERB
ejpam-4662	673	4	kr	kr	PROPN
ejpam-4662	673	5	u	u	PROPN
ejpam-4662	673	6	)	)	PUNCT
ejpam-4662	673	7	−1	−1	NOUN
ejpam-4662	673	8	(	(	PUNCT
ejpam-4662	673	9	1	1	NUM
ejpam-4662	673	10	+	+	CCONJ
ejpam-4662	673	11	r	r	NOUN
ejpam-4662	673	12	+	+	NUM
ejpam-4662	673	13	1	1	NUM
ejpam-4662	673	14	2r	2r	NUM
ejpam-4662	673	15	u	u	NOUN
ejpam-4662	673	16	log	log	VERB
ejpam-4662	673	17	kr	kr	PROPN
ejpam-4662	673	18	u	u	PROPN
ejpam-4662	673	19	+	+	PROPN
ejpam-4662	673	20	o	o	X
ejpam-4662	673	21	(	(	PUNCT
ejpam-4662	673	22	u2	u2	PROPN
ejpam-4662	673	23	log	log	NOUN
ejpam-4662	673	24	kr	kr	PROPN
ejpam-4662	673	25	u	u	PROPN
ejpam-4662	673	26	)	)	PUNCT
ejpam-4662	673	27	)	)	PUNCT
ejpam-4662	674	1	s.	s.	PROPN
ejpam-4662	674	2	dembele	dembele	PROPN
ejpam-4662	674	3	et	et	PROPN
ejpam-4662	674	4	al	al	PROPN
ejpam-4662	674	5	.	.	PUNCT
ejpam-4662	674	6	/	/	SYM
ejpam-4662	674	7	eur	eur	PROPN
ejpam-4662	674	8	.	.	PUNCT
ejpam-4662	675	1	j.	j.	PROPN
ejpam-4662	675	2	pure	pure	PROPN
ejpam-4662	675	3	appl	appl	PROPN
ejpam-4662	675	4	.	.	PROPN
ejpam-4662	675	5	math	math	PROPN
ejpam-4662	675	6	,	,	PUNCT
ejpam-4662	675	7	16	16	NUM
ejpam-4662	675	8	(	(	PUNCT
ejpam-4662	675	9	1	1	NUM
ejpam-4662	675	10	)	)	PUNCT
ejpam-4662	675	11	(	(	PUNCT
ejpam-4662	675	12	2023	2023	NUM
ejpam-4662	675	13	)	)	PUNCT
ejpam-4662	675	14	,	,	PUNCT
ejpam-4662	675	15	609	609	NUM
ejpam-4662	675	16	-	-	SYM
ejpam-4662	675	17	656	656	NUM
ejpam-4662	675	18	643	643	NUM
ejpam-4662	675	19	=	=	SYM
ejpam-4662	675	20	(	(	PUNCT
ejpam-4662	675	21	log	log	NOUN
ejpam-4662	675	22	kr	kr	PROPN
ejpam-4662	675	23	u	u	PROPN
ejpam-4662	675	24	)	)	PUNCT
ejpam-4662	675	25	−1	−1	NOUN
ejpam-4662	676	1	+	+	CCONJ
ejpam-4662	676	2	r	r	NOUN
ejpam-4662	676	3	+	+	NUM
ejpam-4662	676	4	1	1	NUM
ejpam-4662	676	5	2r	2r	NUM
ejpam-4662	676	6	u	u	NOUN
ejpam-4662	676	7	(	(	PUNCT
ejpam-4662	676	8	log	log	NOUN
ejpam-4662	676	9	kr	kr	PROPN
ejpam-4662	676	10	u	u	PROPN
ejpam-4662	676	11	)	)	PUNCT
ejpam-4662	676	12	2	2	NUM
ejpam-4662	677	1	+	+	NOUN
ejpam-4662	677	2	o	o	X
ejpam-4662	677	3			PROPN
ejpam-4662	677	4	(	(	PUNCT
ejpam-4662	677	5	u	u	PRON
ejpam-4662	677	6	log	log	VERB
ejpam-4662	677	7	kr	kr	PROPN
ejpam-4662	677	8	u	u	PROPN
ejpam-4662	677	9	)	)	PUNCT
ejpam-4662	677	10	2	2	NUM
ejpam-4662	677	11			PROPN
ejpam-4662	677	12	.	.	PUNCT
ejpam-4662	678	1	finally	finally	ADV
ejpam-4662	678	2	,	,	PUNCT
ejpam-4662	678	3	we	we	PRON
ejpam-4662	678	4	have	have	VERB
ejpam-4662	678	5	π	π	PROPN
ejpam-4662	678	6	2	2	NUM
ejpam-4662	678	7	−	−	PROPN
ejpam-4662	678	8	f−1(1−	f−1(1−	PROPN
ejpam-4662	678	9	u	u	PROPN
ejpam-4662	678	10	)	)	PUNCT
ejpam-4662	678	11	=	=	SYM
ejpam-4662	679	1	(	(	PUNCT
ejpam-4662	679	2	log	log	PROPN
ejpam-4662	679	3	(	(	PUNCT
ejpam-4662	679	4	kr	kr	PROPN
ejpam-4662	679	5	u	u	PROPN
ejpam-4662	679	6	)	)	PUNCT
ejpam-4662	679	7	)	)	PUNCT
ejpam-4662	679	8	−1	−1	NOUN
ejpam-4662	679	9	−	−	NOUN
ejpam-4662	679	10	1	1	NUM
ejpam-4662	679	11	2	2	NUM
ejpam-4662	679	12	(	(	PUNCT
ejpam-4662	679	13	log	log	NOUN
ejpam-4662	679	14	(	(	PUNCT
ejpam-4662	679	15	kr	kr	PROPN
ejpam-4662	679	16	u	u	PROPN
ejpam-4662	679	17	)	)	PUNCT
ejpam-4662	679	18	)	)	PUNCT
ejpam-4662	679	19	−3	−3	PROPN
ejpam-4662	680	1	+	+	NOUN
ejpam-4662	680	2	o	o	X
ejpam-4662	680	3	(	(	PUNCT
ejpam-4662	680	4	(	(	PUNCT
ejpam-4662	680	5	log(1	log(1	NOUN
ejpam-4662	680	6	/	/	SYM
ejpam-4662	680	7	u))−5	u))−5	PROPN
ejpam-4662	680	8	)	)	PUNCT
ejpam-4662	680	9	.	.	PUNCT
ejpam-4662	681	1	(	(	PUNCT
ejpam-4662	681	2	56	56	X
ejpam-4662	681	3	)	)	PUNCT
ejpam-4662	681	4	quantile	quantile	NOUN
ejpam-4662	681	5	of	of	ADP
ejpam-4662	681	6	burr	burr	PROPN
ejpam-4662	681	7	vi	vi	PROPN
ejpam-4662	681	8	distribution	distribution	NOUN
ejpam-4662	681	9	of	of	ADP
ejpam-4662	681	10	parameters	parameter	NOUN
ejpam-4662	682	1	k	k	X
ejpam-4662	682	2	>	>	X
ejpam-4662	682	3	0	0	PUNCT
ejpam-4662	682	4	and	and	CCONJ
ejpam-4662	682	5	r	r	X
ejpam-4662	682	6	>	>	X
ejpam-4662	682	7	0	0	NUM
ejpam-4662	682	8	.	.	PUNCT
ejpam-4662	683	1	its	its	PRON
ejpam-4662	683	2	support	support	NOUN
ejpam-4662	683	3	is	be	AUX
ejpam-4662	683	4	v	v	NOUN
ejpam-4662	683	5	=	=	SYM
ejpam-4662	683	6	r	r	NOUN
ejpam-4662	683	7	and	and	CCONJ
ejpam-4662	683	8	its	its	PRON
ejpam-4662	683	9	cdf	cdf	PROPN
ejpam-4662	683	10	is	be	AUX
ejpam-4662	683	11	1−	1−	NUM
ejpam-4662	683	12	u	u	NOUN
ejpam-4662	683	13	=	=	PUNCT
ejpam-4662	683	14	(	(	PUNCT
ejpam-4662	683	15	1	1	NUM
ejpam-4662	683	16	+	+	CCONJ
ejpam-4662	683	17	ke−	ke−	PROPN
ejpam-4662	683	18	sinhx	sinhx	NOUN
ejpam-4662	683	19	)	)	PUNCT
ejpam-4662	683	20	−r	−r	ADJ
ejpam-4662	683	21	,	,	PUNCT
ejpam-4662	683	22	x	x	PUNCT
ejpam-4662	683	23	∈	∈	PROPN
ejpam-4662	683	24	v	v	NOUN
ejpam-4662	683	25	,	,	PUNCT
ejpam-4662	683	26	u	u	NOUN
ejpam-4662	683	27	∈]0	∈]0	ADJ
ejpam-4662	683	28	,	,	PUNCT
ejpam-4662	683	29	1	1	NUM
ejpam-4662	683	30	[	[	NOUN
ejpam-4662	683	31	.	.	PUNCT
ejpam-4662	684	1	(	(	PUNCT
ejpam-4662	684	2	fv	fv	X
ejpam-4662	684	3	i	i	PROPN
ejpam-4662	684	4	)	)	PUNCT
ejpam-4662	684	5	by	by	ADP
ejpam-4662	684	6	applying	apply	VERB
ejpam-4662	684	7	expansion	expansion	NOUN
ejpam-4662	684	8	(	(	PUNCT
ejpam-4662	684	9	46	46	NUM
ejpam-4662	684	10	)	)	PUNCT
ejpam-4662	684	11	to	to	PART
ejpam-4662	684	12	formula	formula	VERB
ejpam-4662	684	13	(	(	PUNCT
ejpam-4662	684	14	fvi	fvi	NOUN
ejpam-4662	684	15	)	)	PUNCT
ejpam-4662	684	16	,	,	PUNCT
ejpam-4662	684	17	we	we	PRON
ejpam-4662	684	18	have	have	VERB
ejpam-4662	684	19	e−	e−	PROPN
ejpam-4662	684	20	sinh(x	sinh(x	PROPN
ejpam-4662	684	21	)	)	PUNCT
ejpam-4662	684	22	=	=	SYM
ejpam-4662	684	23	1	1	NUM
ejpam-4662	684	24	k	k	NOUN
ejpam-4662	684	25	(	(	PUNCT
ejpam-4662	684	26	u	u	NOUN
ejpam-4662	684	27	r	r	NOUN
ejpam-4662	684	28	+	+	NOUN
ejpam-4662	684	29	r	r	NOUN
ejpam-4662	684	30	+	+	NUM
ejpam-4662	684	31	1	1	NUM
ejpam-4662	684	32	2r	2r	NUM
ejpam-4662	684	33	u2	u2	PROPN
ejpam-4662	684	34	+	+	PROPN
ejpam-4662	684	35	o	o	X
ejpam-4662	684	36	(	(	PUNCT
ejpam-4662	684	37	u3	u3	PROPN
ejpam-4662	684	38	)	)	PUNCT
ejpam-4662	684	39	)	)	PUNCT
ejpam-4662	684	40	.	.	PUNCT
ejpam-4662	685	1	thus	thus	ADV
ejpam-4662	685	2	y	y	PROPN
ejpam-4662	685	3	=	=	SYM
ejpam-4662	685	4	e−	e−	NUM
ejpam-4662	685	5	sinh(x	sinh(x	PROPN
ejpam-4662	685	6	)	)	PUNCT
ejpam-4662	685	7	⇐	⇐	PROPN
ejpam-4662	685	8	⇒	⇒	PROPN
ejpam-4662	685	9	sinh	sinh	NOUN
ejpam-4662	685	10	(	(	PUNCT
ejpam-4662	685	11	x	x	NOUN
ejpam-4662	685	12	)	)	PUNCT
ejpam-4662	685	13	=	=	SYM
ejpam-4662	686	1	−	−	PROPN
ejpam-4662	686	2	log	log	NOUN
ejpam-4662	686	3	y	y	PROPN
ejpam-4662	686	4	=	=	NOUN
ejpam-4662	686	5	:	:	PUNCT
ejpam-4662	686	6	y.	y.	PROPN
ejpam-4662	686	7	then	then	ADV
ejpam-4662	686	8	sinh	sinh	VERB
ejpam-4662	686	9	(	(	PUNCT
ejpam-4662	686	10	x	x	NOUN
ejpam-4662	686	11	)	)	PUNCT
ejpam-4662	686	12	=	=	SYM
ejpam-4662	686	13	ex	ex	X
ejpam-4662	687	1	−	−	PROPN
ejpam-4662	687	2	e−x	e−x	PROPN
ejpam-4662	687	3	2	2	NUM
ejpam-4662	687	4	=	=	SYM
ejpam-4662	687	5	y	y	NUM
ejpam-4662	687	6	⇐	⇐	PROPN
ejpam-4662	687	7	⇒	⇒	PROPN
ejpam-4662	687	8	e2x	e2x	PROPN
ejpam-4662	687	9	−	−	PROPN
ejpam-4662	687	10	2y	2y	PROPN
ejpam-4662	687	11	ex	ex	NOUN
ejpam-4662	687	12	−	−	PROPN
ejpam-4662	687	13	1	1	NUM
ejpam-4662	687	14	=	=	SYM
ejpam-4662	687	15	0	0	NUM
ejpam-4662	687	16	.	.	PUNCT
ejpam-4662	688	1	this	this	DET
ejpam-4662	688	2	equation	equation	NOUN
ejpam-4662	688	3	has	have	VERB
ejpam-4662	688	4	two	two	NUM
ejpam-4662	688	5	solutions	solution	NOUN
ejpam-4662	688	6	:	:	PUNCT
ejpam-4662	688	7	ex	ex	X
ejpam-4662	688	8	=	=	PUNCT
ejpam-4662	688	9	y	y	PROPN
ejpam-4662	688	10	−	−	PROPN
ejpam-4662	688	11	√	√	PROPN
ejpam-4662	688	12	y	y	PROPN
ejpam-4662	688	13	2	2	NUM
ejpam-4662	688	14	+	+	CCONJ
ejpam-4662	688	15	1(i	1(i	NUM
ejpam-4662	688	16	)	)	PUNCT
ejpam-4662	688	17	,	,	PUNCT
ejpam-4662	688	18	or	or	CCONJ
ejpam-4662	688	19	ex	ex	ADJ
ejpam-4662	688	20	=	=	NOUN
ejpam-4662	688	21	y	y	PROPN
ejpam-4662	688	22	+	+	CCONJ
ejpam-4662	688	23	√	√	VERB
ejpam-4662	688	24	y	y	NUM
ejpam-4662	688	25	2	2	NUM
ejpam-4662	688	26	+	+	CCONJ
ejpam-4662	688	27	1	1	NUM
ejpam-4662	688	28	(	(	PUNCT
ejpam-4662	688	29	ii	ii	NOUN
ejpam-4662	688	30	)	)	PUNCT
ejpam-4662	688	31	.	.	PUNCT
ejpam-4662	689	1	the	the	DET
ejpam-4662	689	2	solution	solution	NOUN
ejpam-4662	689	3	(	(	PUNCT
ejpam-4662	689	4	i	i	NOUN
ejpam-4662	689	5	)	)	PUNCT
ejpam-4662	689	6	is	be	AUX
ejpam-4662	689	7	impossible	impossible	ADJ
ejpam-4662	689	8	since	since	SCONJ
ejpam-4662	689	9	for	for	ADP
ejpam-4662	689	10	y	y	PROPN
ejpam-4662	689	11	≥	≥	PROPN
ejpam-4662	689	12	0	0	NUM
ejpam-4662	689	13	,	,	PUNCT
ejpam-4662	689	14	y	y	PROPN
ejpam-4662	689	15	−	−	NOUN
ejpam-4662	690	1	√	√	VERB
ejpam-4662	690	2	y	y	PROPN
ejpam-4662	690	3	2	2	NUM
ejpam-4662	690	4	+	+	CCONJ
ejpam-4662	690	5	1	1	NUM
ejpam-4662	690	6	≤	≤	NUM
ejpam-4662	690	7	0	0	NUM
ejpam-4662	691	1	and	and	CCONJ
ejpam-4662	691	2	so	so	ADV
ejpam-4662	691	3	,	,	PUNCT
ejpam-4662	691	4	ex	ex	X
ejpam-4662	691	5	̸=	̸=	PROPN
ejpam-4662	691	6	y	y	NOUN
ejpam-4662	691	7	−	−	PROPN
ejpam-4662	691	8	√	√	PROPN
ejpam-4662	691	9	y	y	PROPN
ejpam-4662	691	10	2	2	NUM
ejpam-4662	691	11	+	+	CCONJ
ejpam-4662	691	12	1	1	NUM
ejpam-4662	691	13	for	for	ADP
ejpam-4662	691	14	any	any	DET
ejpam-4662	691	15	x	x	SYM
ejpam-4662	691	16	∈	∈	PROPN
ejpam-4662	691	17	r.	r.	NOUN
ejpam-4662	691	18	we	we	PRON
ejpam-4662	691	19	keep	keep	VERB
ejpam-4662	691	20	solution	solution	NOUN
ejpam-4662	691	21	(	(	PUNCT
ejpam-4662	691	22	ii	ii	NOUN
ejpam-4662	691	23	)	)	PUNCT
ejpam-4662	691	24	.	.	PUNCT
ejpam-4662	692	1	hence	hence	ADV
ejpam-4662	692	2	s.	s.	PROPN
ejpam-4662	692	3	dembele	dembele	PROPN
ejpam-4662	692	4	et	et	PROPN
ejpam-4662	692	5	al	al	PROPN
ejpam-4662	692	6	.	.	PUNCT
ejpam-4662	692	7	/	/	SYM
ejpam-4662	692	8	eur	eur	PROPN
ejpam-4662	692	9	.	.	PUNCT
ejpam-4662	693	1	j.	j.	PROPN
ejpam-4662	693	2	pure	pure	PROPN
ejpam-4662	693	3	appl	appl	PROPN
ejpam-4662	693	4	.	.	PROPN
ejpam-4662	693	5	math	math	PROPN
ejpam-4662	693	6	,	,	PUNCT
ejpam-4662	693	7	16	16	NUM
ejpam-4662	693	8	(	(	PUNCT
ejpam-4662	693	9	1	1	NUM
ejpam-4662	693	10	)	)	PUNCT
ejpam-4662	693	11	(	(	PUNCT
ejpam-4662	693	12	2023	2023	NUM
ejpam-4662	693	13	)	)	PUNCT
ejpam-4662	693	14	,	,	PUNCT
ejpam-4662	693	15	609	609	NUM
ejpam-4662	693	16	-	-	SYM
ejpam-4662	693	17	656	656	NUM
ejpam-4662	693	18	644	644	NUM
ejpam-4662	693	19	x	x	X
ejpam-4662	693	20	=	=	PRON
ejpam-4662	693	21	log	log	NOUN
ejpam-4662	693	22	y	y	PROPN
ejpam-4662	693	23	+	+	CCONJ
ejpam-4662	693	24	log	log	PROPN
ejpam-4662	693	25	(	(	PUNCT
ejpam-4662	693	26	1	1	NUM
ejpam-4662	693	27	+	+	CCONJ
ejpam-4662	693	28	(	(	PUNCT
ejpam-4662	693	29	1	1	X
ejpam-4662	693	30	+	+	NUM
ejpam-4662	693	31	y−2	y−2	PROPN
ejpam-4662	693	32	)	)	PUNCT
ejpam-4662	693	33	1	1	NUM
ejpam-4662	693	34	2	2	NUM
ejpam-4662	693	35	)	)	PUNCT
ejpam-4662	693	36	=	=	VERB
ejpam-4662	694	1	log	log	VERB
ejpam-4662	694	2	y	y	PROPN
ejpam-4662	695	1	+	+	CCONJ
ejpam-4662	696	1	log	log	PROPN
ejpam-4662	696	2	(	(	PUNCT
ejpam-4662	696	3	2	2	NUM
ejpam-4662	696	4	+	+	CCONJ
ejpam-4662	696	5	1	1	NUM
ejpam-4662	696	6	2	2	NUM
ejpam-4662	696	7	y	y	PROPN
ejpam-4662	696	8	−2	−2	NOUN
ejpam-4662	696	9	−	−	NOUN
ejpam-4662	696	10	1	1	NUM
ejpam-4662	696	11	8	8	NUM
ejpam-4662	696	12	y	y	NOUN
ejpam-4662	696	13	−4	−4	PUNCT
ejpam-4662	697	1	+	+	NOUN
ejpam-4662	697	2	o	o	X
ejpam-4662	697	3	(	(	PUNCT
ejpam-4662	697	4	y	y	NOUN
ejpam-4662	697	5	−6	−6	NOUN
ejpam-4662	697	6	)	)	PUNCT
ejpam-4662	697	7	)	)	PUNCT
ejpam-4662	698	1	=	=	PRON
ejpam-4662	698	2	log	log	VERB
ejpam-4662	698	3	y	y	PROPN
ejpam-4662	698	4	+	+	CCONJ
ejpam-4662	698	5	log	log	VERB
ejpam-4662	698	6	2	2	NUM
ejpam-4662	698	7	+	+	CCONJ
ejpam-4662	698	8	1	1	NUM
ejpam-4662	698	9	4	4	NUM
ejpam-4662	698	10	y	y	NOUN
ejpam-4662	698	11	−2	−2	NOUN
ejpam-4662	698	12	−	−	PROPN
ejpam-4662	698	13	3	3	NUM
ejpam-4662	698	14	32	32	NUM
ejpam-4662	698	15	y	y	NOUN
ejpam-4662	698	16	−4	−4	PUNCT
ejpam-4662	699	1	+	+	ADV
ejpam-4662	699	2	o	o	X
ejpam-4662	699	3	(	(	PUNCT
ejpam-4662	699	4	y	y	NOUN
ejpam-4662	699	5	−6	−6	PROPN
ejpam-4662	699	6	)	)	PUNCT
ejpam-4662	699	7	.	.	PUNCT
ejpam-4662	700	1	(	(	PUNCT
ejpam-4662	700	2	57	57	NUM
ejpam-4662	700	3	)	)	PUNCT
ejpam-4662	700	4	by	by	ADP
ejpam-4662	700	5	(	(	PUNCT
ejpam-4662	700	6	57	57	NUM
ejpam-4662	700	7	)	)	PUNCT
ejpam-4662	700	8	,	,	PUNCT
ejpam-4662	700	9	we	we	PRON
ejpam-4662	700	10	have	have	VERB
ejpam-4662	700	11	y	y	PROPN
ejpam-4662	700	12	=	=	SYM
ejpam-4662	700	13	y	y	PROPN
ejpam-4662	700	14	(	(	PUNCT
ejpam-4662	700	15	u	u	NOUN
ejpam-4662	700	16	)	)	PUNCT
ejpam-4662	700	17	=	=	SYM
ejpam-4662	700	18	1	1	NUM
ejpam-4662	700	19	k	k	NOUN
ejpam-4662	700	20	(	(	PUNCT
ejpam-4662	700	21	u	u	NOUN
ejpam-4662	700	22	r	r	NOUN
ejpam-4662	700	23	+	+	NOUN
ejpam-4662	700	24	r	r	NOUN
ejpam-4662	700	25	+	+	NUM
ejpam-4662	700	26	1	1	NUM
ejpam-4662	700	27	2r2	2r2	NUM
ejpam-4662	700	28	u2	u2	NOUN
ejpam-4662	700	29	+	+	PROPN
ejpam-4662	700	30	o	o	X
ejpam-4662	700	31	(	(	PUNCT
ejpam-4662	700	32	u3	u3	NOUN
ejpam-4662	700	33	)	)	PUNCT
ejpam-4662	700	34	)	)	PUNCT
ejpam-4662	701	1	=	=	PUNCT
ejpam-4662	701	2	u	u	NOUN
ejpam-4662	701	3	kr	kr	PROPN
ejpam-4662	701	4	(	(	PUNCT
ejpam-4662	701	5	1	1	NUM
ejpam-4662	701	6	+	+	CCONJ
ejpam-4662	701	7	r	r	NOUN
ejpam-4662	701	8	+	+	CCONJ
ejpam-4662	701	9	1	1	NUM
ejpam-4662	701	10	2r	2r	NUM
ejpam-4662	701	11	u+o	u+o	NUM
ejpam-4662	701	12	(	(	PUNCT
ejpam-4662	701	13	u2	u2	PROPN
ejpam-4662	701	14	)	)	PUNCT
ejpam-4662	701	15	)	)	PUNCT
ejpam-4662	701	16	.	.	PUNCT
ejpam-4662	702	1	so	so	ADV
ejpam-4662	702	2	−	−	PROPN
ejpam-4662	702	3	log	log	VERB
ejpam-4662	702	4	y	y	PROPN
ejpam-4662	702	5	(	(	PUNCT
ejpam-4662	702	6	u	u	NOUN
ejpam-4662	702	7	)	)	PUNCT
ejpam-4662	702	8	=	=	VERB
ejpam-4662	702	9	log	log	VERB
ejpam-4662	702	10	kr	kr	PROPN
ejpam-4662	702	11	u	u	NOUN
ejpam-4662	702	12	−	−	NOUN
ejpam-4662	702	13	r	r	NOUN
ejpam-4662	703	1	+	+	NOUN
ejpam-4662	703	2	1	1	NUM
ejpam-4662	703	3	2r	2r	NUM
ejpam-4662	703	4	u+o	u+o	NUM
ejpam-4662	703	5	(	(	PUNCT
ejpam-4662	703	6	u2	u2	PROPN
ejpam-4662	703	7	)	)	PUNCT
ejpam-4662	703	8	=	=	PUNCT
ejpam-4662	704	1	log	log	VERB
ejpam-4662	704	2	kr	kr	PROPN
ejpam-4662	704	3	u	u	PROPN
ejpam-4662	704	4	(	(	PUNCT
ejpam-4662	704	5	1−	1−	NUM
ejpam-4662	704	6	r	r	NOUN
ejpam-4662	704	7	+	+	NUM
ejpam-4662	704	8	1	1	NUM
ejpam-4662	704	9	2r	2r	NUM
ejpam-4662	704	10	u	u	NOUN
ejpam-4662	704	11	log	log	VERB
ejpam-4662	704	12	kr	kr	PROPN
ejpam-4662	704	13	u	u	PROPN
ejpam-4662	705	1	+	+	PROPN
ejpam-4662	705	2	o	o	X
ejpam-4662	705	3	(	(	PUNCT
ejpam-4662	705	4	u2	u2	PROPN
ejpam-4662	705	5	log	log	NOUN
ejpam-4662	705	6	kr	kr	PROPN
ejpam-4662	705	7	u	u	PROPN
ejpam-4662	705	8	)	)	PUNCT
ejpam-4662	705	9	)	)	PUNCT
ejpam-4662	705	10	.	.	PUNCT
ejpam-4662	706	1	hence	hence	ADV
ejpam-4662	706	2	log	log	VERB
ejpam-4662	706	3	y	y	PROPN
ejpam-4662	706	4	=	=	PUNCT
ejpam-4662	706	5	log	log	PROPN
ejpam-4662	706	6	log	log	NOUN
ejpam-4662	706	7	kr	kr	PROPN
ejpam-4662	706	8	u	u	NOUN
ejpam-4662	706	9	−	−	NOUN
ejpam-4662	706	10	r	r	NOUN
ejpam-4662	706	11	+	+	NUM
ejpam-4662	706	12	1	1	NUM
ejpam-4662	706	13	2r	2r	NUM
ejpam-4662	706	14	(	(	PUNCT
ejpam-4662	706	15	u	u	PRON
ejpam-4662	706	16	log	log	VERB
ejpam-4662	706	17	kr	kr	PROPN
ejpam-4662	706	18	u	u	PROPN
ejpam-4662	706	19	)	)	PUNCT
ejpam-4662	707	1	+	+	ADP
ejpam-4662	707	2	o	o	X
ejpam-4662	707	3	(	(	PUNCT
ejpam-4662	707	4	u	u	NOUN
ejpam-4662	707	5	log	log	VERB
ejpam-4662	707	6	1	1	NUM
ejpam-4662	707	7	/	/	SYM
ejpam-4662	707	8	u	u	NOUN
ejpam-4662	707	9	)	)	PUNCT
ejpam-4662	707	10	.	.	PUNCT
ejpam-4662	708	1	(	(	PUNCT
ejpam-4662	708	2	58	58	NUM
ejpam-4662	708	3	)	)	PUNCT
ejpam-4662	708	4	by	by	ADP
ejpam-4662	708	5	(	(	PUNCT
ejpam-4662	708	6	58	58	NUM
ejpam-4662	708	7	)	)	PUNCT
ejpam-4662	708	8	,	,	PUNCT
ejpam-4662	708	9	we	we	PRON
ejpam-4662	708	10	have	have	VERB
ejpam-4662	708	11	y	y	PROPN
ejpam-4662	708	12	−α	−α	NOUN
ejpam-4662	708	13	=	=	PUNCT
ejpam-4662	708	14	(	(	PUNCT
ejpam-4662	708	15	log	log	VERB
ejpam-4662	708	16	kr	kr	PROPN
ejpam-4662	708	17	u	u	PROPN
ejpam-4662	708	18	)	)	PUNCT
ejpam-4662	709	1	−α	−α	PROPN
ejpam-4662	709	2	1	1	PROPN
ejpam-4662	709	3	+	+	CCONJ
ejpam-4662	709	4	α	α	PROPN
ejpam-4662	709	5	(	(	PUNCT
ejpam-4662	709	6	r	r	NOUN
ejpam-4662	709	7	+	+	NOUN
ejpam-4662	709	8	1	1	NUM
ejpam-4662	709	9	)	)	PUNCT
ejpam-4662	709	10	2r	2r	NUM
ejpam-4662	710	1	u	u	NOUN
ejpam-4662	710	2	log	log	VERB
ejpam-4662	710	3	kr	kr	PROPN
ejpam-4662	710	4	u	u	PROPN
ejpam-4662	711	1	+	+	PROPN
ejpam-4662	711	2	o	o	X
ejpam-4662	711	3	(	(	PUNCT
ejpam-4662	711	4	u	u	NOUN
ejpam-4662	711	5	log	log	VERB
ejpam-4662	711	6	kr	kr	PROPN
ejpam-4662	711	7	u	u	PROPN
ejpam-4662	711	8	)	)	PUNCT
ejpam-4662	711	9	2	2	NUM
ejpam-4662	711	10			PROPN
ejpam-4662	711	11	.	.	PUNCT
ejpam-4662	712	1	finally	finally	ADV
ejpam-4662	712	2	,	,	PUNCT
ejpam-4662	712	3	by	by	ADP
ejpam-4662	712	4	(	(	PUNCT
ejpam-4662	712	5	57	57	NUM
ejpam-4662	712	6	)	)	PUNCT
ejpam-4662	712	7	,	,	PUNCT
ejpam-4662	712	8	f−1(1−u	f−1(1−u	ADJ
ejpam-4662	712	9	)	)	PUNCT
ejpam-4662	712	10	=	=	PRON
ejpam-4662	712	11	log	log	VERB
ejpam-4662	712	12	2+log	2+log	NUM
ejpam-4662	712	13	log	log	NOUN
ejpam-4662	712	14	kr+log	kr+log	PROPN
ejpam-4662	712	15	log	log	NOUN
ejpam-4662	712	16	(	(	PUNCT
ejpam-4662	712	17	1	1	NUM
ejpam-4662	712	18	/	/	SYM
ejpam-4662	712	19	u)+	u)+	PROPN
ejpam-4662	712	20	1	1	NUM
ejpam-4662	712	21	4	4	NUM
ejpam-4662	712	22	(	(	PUNCT
ejpam-4662	712	23	log	log	VERB
ejpam-4662	712	24	log	log	NOUN
ejpam-4662	712	25	kr	kr	PROPN
ejpam-4662	712	26	u	u	PROPN
ejpam-4662	712	27	)	)	PUNCT
ejpam-4662	712	28	−2	−2	PROPN
ejpam-4662	713	1	+	+	NOUN
ejpam-4662	713	2	o	o	X
ejpam-4662	713	3	(	(	PUNCT
ejpam-4662	713	4	log	log	PROPN
ejpam-4662	713	5	log	log	NOUN
ejpam-4662	713	6	(	(	PUNCT
ejpam-4662	713	7	1	1	NUM
ejpam-4662	713	8	/	/	SYM
ejpam-4662	713	9	u)−3	u)−3	ADJ
ejpam-4662	713	10	)	)	PUNCT
ejpam-4662	713	11	,	,	PUNCT
ejpam-4662	713	12	u	u	NOUN
ejpam-4662	713	13	<	<	X
ejpam-4662	713	14	1	1	NUM
ejpam-4662	713	15	e	e	NOUN
ejpam-4662	713	16	.	.	PUNCT
ejpam-4662	714	1	(	(	PUNCT
ejpam-4662	714	2	59	59	NUM
ejpam-4662	714	3	)	)	PUNCT
ejpam-4662	714	4	s.	s.	PROPN
ejpam-4662	714	5	dembele	dembele	PROPN
ejpam-4662	714	6	et	et	PROPN
ejpam-4662	714	7	al	al	PROPN
ejpam-4662	714	8	.	.	PUNCT
ejpam-4662	714	9	/	/	SYM
ejpam-4662	714	10	eur	eur	PROPN
ejpam-4662	714	11	.	.	PUNCT
ejpam-4662	715	1	j.	j.	PROPN
ejpam-4662	715	2	pure	pure	PROPN
ejpam-4662	715	3	appl	appl	PROPN
ejpam-4662	715	4	.	.	PROPN
ejpam-4662	715	5	math	math	PROPN
ejpam-4662	715	6	,	,	PUNCT
ejpam-4662	715	7	16	16	NUM
ejpam-4662	715	8	(	(	PUNCT
ejpam-4662	715	9	1	1	NUM
ejpam-4662	715	10	)	)	PUNCT
ejpam-4662	715	11	(	(	PUNCT
ejpam-4662	715	12	2023	2023	NUM
ejpam-4662	715	13	)	)	PUNCT
ejpam-4662	715	14	,	,	PUNCT
ejpam-4662	715	15	609	609	NUM
ejpam-4662	715	16	-	-	SYM
ejpam-4662	715	17	656	656	NUM
ejpam-4662	715	18	645	645	NUM
ejpam-4662	715	19	quantile	quantile	NOUN
ejpam-4662	715	20	of	of	ADP
ejpam-4662	715	21	burr	burr	NOUN
ejpam-4662	715	22	vii	vii	PROPN
ejpam-4662	715	23	distribution	distribution	NOUN
ejpam-4662	715	24	of	of	ADP
ejpam-4662	715	25	parameter	parameter	NOUN
ejpam-4662	715	26	r	r	NOUN
ejpam-4662	715	27	>	>	X
ejpam-4662	715	28	0	0	NUM
ejpam-4662	715	29	.	.	PUNCT
ejpam-4662	716	1	its	its	PRON
ejpam-4662	716	2	support	support	NOUN
ejpam-4662	716	3	is	be	AUX
ejpam-4662	716	4	v	v	NOUN
ejpam-4662	716	5	=	=	SYM
ejpam-4662	716	6	r	r	NOUN
ejpam-4662	716	7	and	and	CCONJ
ejpam-4662	716	8	its	its	PRON
ejpam-4662	716	9	cdf	cdf	PROPN
ejpam-4662	716	10	is	be	AUX
ejpam-4662	716	11	1−	1−	NUM
ejpam-4662	716	12	u	u	NOUN
ejpam-4662	716	13	=	=	SYM
ejpam-4662	716	14	2r	2r	NUM
ejpam-4662	716	15	(	(	PUNCT
ejpam-4662	716	16	1	1	NUM
ejpam-4662	716	17	+	+	CCONJ
ejpam-4662	716	18	tanhx	tanhx	ADJ
ejpam-4662	716	19	)	)	PUNCT
ejpam-4662	716	20	r	r	NOUN
ejpam-4662	716	21	,	,	PUNCT
ejpam-4662	716	22	x	x	PUNCT
ejpam-4662	716	23	∈	∈	PROPN
ejpam-4662	716	24	v	v	NOUN
ejpam-4662	716	25	,	,	PUNCT
ejpam-4662	716	26	u	u	NOUN
ejpam-4662	716	27	∈]0	∈]0	ADJ
ejpam-4662	716	28	,	,	PUNCT
ejpam-4662	716	29	1	1	NUM
ejpam-4662	716	30	[	[	NOUN
ejpam-4662	716	31	.	.	PUNCT
ejpam-4662	717	1	(	(	PUNCT
ejpam-4662	717	2	fvii	fvii	ADJ
ejpam-4662	717	3	)	)	PUNCT
ejpam-4662	717	4	by	by	ADP
ejpam-4662	717	5	applying	apply	VERB
ejpam-4662	717	6	expansion	expansion	NOUN
ejpam-4662	717	7	(	(	PUNCT
ejpam-4662	717	8	47	47	NUM
ejpam-4662	717	9	)	)	PUNCT
ejpam-4662	717	10	on	on	ADP
ejpam-4662	717	11	(	(	PUNCT
ejpam-4662	717	12	fvii	fvii	ADJ
ejpam-4662	717	13	)	)	PUNCT
ejpam-4662	717	14	,	,	PUNCT
ejpam-4662	717	15	we	we	PRON
ejpam-4662	717	16	get	get	VERB
ejpam-4662	717	17	tanh	tanh	NOUN
ejpam-4662	717	18	(	(	PUNCT
ejpam-4662	717	19	x	x	NOUN
ejpam-4662	717	20	)	)	PUNCT
ejpam-4662	717	21	=	=	SYM
ejpam-4662	717	22	2	2	NUM
ejpam-4662	717	23	(	(	PUNCT
ejpam-4662	717	24	1−	1−	NUM
ejpam-4662	718	1	u)1	u)1	PROPN
ejpam-4662	718	2	/	/	SYM
ejpam-4662	718	3	r	r	NOUN
ejpam-4662	718	4	−	−	NOUN
ejpam-4662	718	5	1	1	NUM
ejpam-4662	718	6	=	=	SYM
ejpam-4662	718	7	1−	1−	NUM
ejpam-4662	718	8	2	2	NUM
ejpam-4662	718	9	r	r	NOUN
ejpam-4662	718	10	u+	u+	NUM
ejpam-4662	718	11	1−	1−	NUM
ejpam-4662	718	12	r	r	NOUN
ejpam-4662	718	13	r2	r2	NOUN
ejpam-4662	718	14	u2	u2	PROPN
ejpam-4662	718	15	+	+	PROPN
ejpam-4662	718	16	o	o	PROPN
ejpam-4662	718	17	(	(	PUNCT
ejpam-4662	718	18	u3	u3	PROPN
ejpam-4662	718	19	)	)	PUNCT
ejpam-4662	719	1	=	=	NOUN
ejpam-4662	719	2	:	:	PUNCT
ejpam-4662	719	3	y.	y.	PROPN
ejpam-4662	720	1	so	so	ADV
ejpam-4662	720	2	,	,	PUNCT
ejpam-4662	720	3	we	we	PRON
ejpam-4662	720	4	have	have	VERB
ejpam-4662	720	5	ex	ex	PRON
ejpam-4662	720	6	−	−	PROPN
ejpam-4662	720	7	e−x	e−x	NOUN
ejpam-4662	720	8	ex	ex	X
ejpam-4662	720	9	+	+	PUNCT
ejpam-4662	720	10	ex	ex	X
ejpam-4662	720	11	=	=	NOUN
ejpam-4662	720	12	e2x	e2x	NOUN
ejpam-4662	720	13	−	−	PROPN
ejpam-4662	720	14	1	1	NUM
ejpam-4662	720	15	e2x	e2x	NOUN
ejpam-4662	721	1	+	+	CCONJ
ejpam-4662	721	2	1	1	NUM
ejpam-4662	721	3	=	=	SYM
ejpam-4662	721	4	y	y	X
ejpam-4662	721	5	∈]−	∈]−	PROPN
ejpam-4662	721	6	1	1	NUM
ejpam-4662	721	7	,	,	PUNCT
ejpam-4662	721	8	1	1	NUM
ejpam-4662	721	9	[	[	NOUN
ejpam-4662	721	10	.	.	PUNCT
ejpam-4662	722	1	then	then	ADV
ejpam-4662	722	2	,	,	PUNCT
ejpam-4662	722	3	e2x	e2x	PROPN
ejpam-4662	722	4	=	=	PUNCT
ejpam-4662	722	5	y	y	PROPN
ejpam-4662	722	6	+	+	NOUN
ejpam-4662	722	7	1	1	NUM
ejpam-4662	722	8	y	y	NOUN
ejpam-4662	722	9	−	−	PROPN
ejpam-4662	722	10	1	1	NUM
ejpam-4662	722	11	,	,	PUNCT
ejpam-4662	722	12	y	y	PROPN
ejpam-4662	722	13	∈]−	∈]−	PROPN
ejpam-4662	722	14	1	1	NUM
ejpam-4662	722	15	,	,	PUNCT
ejpam-4662	722	16	1	1	NUM
ejpam-4662	722	17	[	[	X
ejpam-4662	722	18	,	,	PUNCT
ejpam-4662	722	19	x	x	SYM
ejpam-4662	722	20	∈	∈	PROPN
ejpam-4662	722	21	r.	r.	NOUN
ejpam-4662	722	22	in	in	ADP
ejpam-4662	722	23	the	the	DET
ejpam-4662	722	24	formula	formula	NOUN
ejpam-4662	722	25	above	above	ADV
ejpam-4662	722	26	,	,	PUNCT
ejpam-4662	722	27	x	x	PROPN
ejpam-4662	722	28	↑	↑	NOUN
ejpam-4662	723	1	+	+	ADJ
ejpam-4662	723	2	∞	∞	PROPN
ejpam-4662	723	3	as	as	ADP
ejpam-4662	723	4	y	y	PROPN
ejpam-4662	723	5	↑	↑	PROPN
ejpam-4662	723	6	1	1	NUM
ejpam-4662	723	7	.	.	PUNCT
ejpam-4662	724	1	so	so	ADV
ejpam-4662	724	2	x	x	SYM
ejpam-4662	724	3	=	=	SYM
ejpam-4662	724	4	1	1	NUM
ejpam-4662	724	5	2	2	NUM
ejpam-4662	724	6	log	log	NOUN
ejpam-4662	724	7	y	y	NOUN
ejpam-4662	725	1	+	+	CCONJ
ejpam-4662	725	2	1	1	NUM
ejpam-4662	725	3	y	y	NOUN
ejpam-4662	725	4	−	−	PROPN
ejpam-4662	725	5	1	1	NUM
ejpam-4662	725	6	=	=	SYM
ejpam-4662	725	7	1	1	NUM
ejpam-4662	725	8	2	2	NUM
ejpam-4662	725	9	[	[	X
ejpam-4662	725	10	log	log	NOUN
ejpam-4662	725	11	(	(	PUNCT
ejpam-4662	725	12	1	1	NUM
ejpam-4662	725	13	+	+	X
ejpam-4662	725	14	y)−	y)−	PROPN
ejpam-4662	725	15	log	log	NOUN
ejpam-4662	725	16	(	(	PUNCT
ejpam-4662	725	17	1−	1−	NUM
ejpam-4662	725	18	y	y	NOUN
ejpam-4662	725	19	)	)	PUNCT
ejpam-4662	725	20	]	]	PUNCT
ejpam-4662	725	21	=	=	SYM
ejpam-4662	725	22	1	1	NUM
ejpam-4662	725	23	2	2	NUM
ejpam-4662	725	24	[	[	PUNCT
ejpam-4662	725	25	log	log	NOUN
ejpam-4662	725	26	(	(	PUNCT
ejpam-4662	725	27	2−	2−	NUM
ejpam-4662	725	28	2	2	NUM
ejpam-4662	725	29	r	r	NOUN
ejpam-4662	725	30	u+	u+	NUM
ejpam-4662	725	31	1−	1−	NUM
ejpam-4662	725	32	r	r	NOUN
ejpam-4662	725	33	r2	r2	NOUN
ejpam-4662	725	34	u2	u2	PROPN
ejpam-4662	725	35	+	+	PROPN
ejpam-4662	725	36	o	o	PROPN
ejpam-4662	725	37	(	(	PUNCT
ejpam-4662	725	38	u3	u3	PROPN
ejpam-4662	725	39	)	)	PUNCT
ejpam-4662	725	40	)	)	PUNCT
ejpam-4662	726	1	−	−	ADP
ejpam-4662	726	2	log	log	NOUN
ejpam-4662	726	3	(	(	PUNCT
ejpam-4662	726	4	2	2	NUM
ejpam-4662	726	5	r	r	NOUN
ejpam-4662	726	6	u	u	NOUN
ejpam-4662	726	7	(	(	PUNCT
ejpam-4662	726	8	1−	1−	NUM
ejpam-4662	726	9	1−	1−	NUM
ejpam-4662	726	10	r	r	NOUN
ejpam-4662	726	11	2r	2r	NUM
ejpam-4662	726	12	u+o	u+o	NUM
ejpam-4662	726	13	(	(	PUNCT
ejpam-4662	726	14	u2	u2	PROPN
ejpam-4662	726	15	)	)	PUNCT
ejpam-4662	726	16	)	)	PUNCT
ejpam-4662	726	17	)	)	PUNCT
ejpam-4662	726	18	]	]	PUNCT
ejpam-4662	727	1	=	=	SYM
ejpam-4662	727	2	1	1	NUM
ejpam-4662	727	3	2	2	NUM
ejpam-4662	727	4	[	[	X
ejpam-4662	727	5	(	(	PUNCT
ejpam-4662	727	6	log	log	NOUN
ejpam-4662	727	7	2−	2−	NUM
ejpam-4662	727	8	1	1	NUM
ejpam-4662	727	9	r	r	NOUN
ejpam-4662	727	10	u+	u+	NUM
ejpam-4662	727	11	1−	1−	NUM
ejpam-4662	727	12	r	r	NOUN
ejpam-4662	727	13	2r2	2r2	NUM
ejpam-4662	727	14	u2	u2	NOUN
ejpam-4662	727	15	−	−	PROPN
ejpam-4662	727	16	1	1	NUM
ejpam-4662	727	17	2	2	NUM
ejpam-4662	727	18	1	1	NUM
ejpam-4662	727	19	r2	r2	NOUN
ejpam-4662	727	20	u2	u2	PROPN
ejpam-4662	727	21	+	+	PROPN
ejpam-4662	727	22	o	o	PROPN
ejpam-4662	727	23	(	(	PUNCT
ejpam-4662	727	24	u3	u3	PROPN
ejpam-4662	727	25	)	)	PUNCT
ejpam-4662	727	26	)	)	PUNCT
ejpam-4662	728	1	−	−	PROPN
ejpam-4662	728	2	(	(	PUNCT
ejpam-4662	728	3	log	log	NOUN
ejpam-4662	728	4	2	2	NUM
ejpam-4662	728	5	r	r	NOUN
ejpam-4662	728	6	u−	u−	NOUN
ejpam-4662	728	7	1−	1−	NUM
ejpam-4662	728	8	r	r	NOUN
ejpam-4662	728	9	2r	2r	NUM
ejpam-4662	728	10	u+o	u+o	NUM
ejpam-4662	728	11	(	(	PUNCT
ejpam-4662	728	12	u2	u2	PROPN
ejpam-4662	728	13	)	)	PUNCT
ejpam-4662	728	14	)	)	PUNCT
ejpam-4662	728	15	]	]	PUNCT
ejpam-4662	728	16	.	.	PUNCT
ejpam-4662	729	1	so	so	ADV
ejpam-4662	729	2	we	we	PRON
ejpam-4662	729	3	have	have	VERB
ejpam-4662	729	4	,	,	PUNCT
ejpam-4662	729	5	2x	2x	NUM
ejpam-4662	729	6	=	=	SYM
ejpam-4662	729	7	log	log	PROPN
ejpam-4662	729	8	r	r	NOUN
ejpam-4662	729	9	+	+	CCONJ
ejpam-4662	729	10	log	log	NOUN
ejpam-4662	729	11	(	(	PUNCT
ejpam-4662	729	12	1	1	NUM
ejpam-4662	729	13	/	/	SYM
ejpam-4662	729	14	u)−	u)−	PROPN
ejpam-4662	729	15	1	1	NUM
ejpam-4662	730	1	+	+	NUM
ejpam-4662	730	2	r	r	NOUN
ejpam-4662	730	3	2r	2r	NUM
ejpam-4662	730	4	u+o	u+o	NUM
ejpam-4662	730	5	(	(	PUNCT
ejpam-4662	730	6	u2	u2	PROPN
ejpam-4662	730	7	)	)	PUNCT
ejpam-4662	730	8	.	.	PUNCT
ejpam-4662	731	1	thus	thus	ADV
ejpam-4662	731	2	,	,	PUNCT
ejpam-4662	731	3	x	x	SYM
ejpam-4662	731	4	=	=	PRON
ejpam-4662	731	5	log	log	VERB
ejpam-4662	731	6	√	√	NOUN
ejpam-4662	732	1	r	r	NOUN
ejpam-4662	732	2	+	+	CCONJ
ejpam-4662	732	3	1	1	NUM
ejpam-4662	732	4	2	2	NUM
ejpam-4662	732	5	log	log	NOUN
ejpam-4662	732	6	(	(	PUNCT
ejpam-4662	732	7	1	1	NUM
ejpam-4662	732	8	/	/	SYM
ejpam-4662	732	9	u)−	u)−	PROPN
ejpam-4662	732	10	1	1	NUM
ejpam-4662	732	11	+	+	NOUN
ejpam-4662	732	12	r	r	NOUN
ejpam-4662	732	13	4r	4r	NOUN
ejpam-4662	732	14	u+o	u+o	NUM
ejpam-4662	732	15	(	(	PUNCT
ejpam-4662	732	16	u2	u2	PROPN
ejpam-4662	732	17	)	)	PUNCT
ejpam-4662	732	18	.	.	PUNCT
ejpam-4662	733	1	hence	hence	ADV
ejpam-4662	733	2	,	,	PUNCT
ejpam-4662	733	3	s.	s.	PROPN
ejpam-4662	733	4	dembele	dembele	PROPN
ejpam-4662	733	5	et	et	PROPN
ejpam-4662	733	6	al	al	PROPN
ejpam-4662	733	7	.	.	PUNCT
ejpam-4662	733	8	/	/	SYM
ejpam-4662	733	9	eur	eur	PROPN
ejpam-4662	733	10	.	.	PUNCT
ejpam-4662	734	1	j.	j.	PROPN
ejpam-4662	734	2	pure	pure	PROPN
ejpam-4662	734	3	appl	appl	PROPN
ejpam-4662	734	4	.	.	PROPN
ejpam-4662	734	5	math	math	PROPN
ejpam-4662	734	6	,	,	PUNCT
ejpam-4662	734	7	16	16	NUM
ejpam-4662	734	8	(	(	PUNCT
ejpam-4662	734	9	1	1	NUM
ejpam-4662	734	10	)	)	PUNCT
ejpam-4662	734	11	(	(	PUNCT
ejpam-4662	734	12	2023	2023	NUM
ejpam-4662	734	13	)	)	PUNCT
ejpam-4662	734	14	,	,	PUNCT
ejpam-4662	734	15	609	609	NUM
ejpam-4662	734	16	-	-	SYM
ejpam-4662	734	17	656	656	NUM
ejpam-4662	734	18	646	646	NUM
ejpam-4662	734	19	f−1	f−1	PROPN
ejpam-4662	734	20	(	(	PUNCT
ejpam-4662	734	21	1−	1−	NUM
ejpam-4662	734	22	u	u	NOUN
ejpam-4662	734	23	)	)	PUNCT
ejpam-4662	734	24	=	=	PUNCT
ejpam-4662	734	25	log	log	VERB
ejpam-4662	734	26	√	√	NOUN
ejpam-4662	735	1	r	r	NOUN
ejpam-4662	735	2	+	+	CCONJ
ejpam-4662	735	3	1	1	NUM
ejpam-4662	735	4	2	2	NUM
ejpam-4662	735	5	log	log	NOUN
ejpam-4662	735	6	(	(	PUNCT
ejpam-4662	735	7	1	1	NUM
ejpam-4662	735	8	/	/	SYM
ejpam-4662	735	9	u)−	u)−	PROPN
ejpam-4662	735	10	1	1	NUM
ejpam-4662	735	11	+	+	NOUN
ejpam-4662	735	12	r	r	NOUN
ejpam-4662	735	13	4r	4r	NOUN
ejpam-4662	735	14	u+o	u+o	NUM
ejpam-4662	735	15	(	(	PUNCT
ejpam-4662	735	16	u2	u2	PROPN
ejpam-4662	735	17	)	)	PUNCT
ejpam-4662	735	18	.	.	PUNCT
ejpam-4662	736	1	(	(	PUNCT
ejpam-4662	736	2	60	60	NUM
ejpam-4662	736	3	)	)	PUNCT
ejpam-4662	736	4	quantile	quantile	NOUN
ejpam-4662	736	5	of	of	ADP
ejpam-4662	736	6	burr	burr	NOUN
ejpam-4662	736	7	viii	viii	ADJ
ejpam-4662	736	8	distribution	distribution	NOUN
ejpam-4662	736	9	of	of	ADP
ejpam-4662	736	10	parameter	parameter	NOUN
ejpam-4662	736	11	r	r	NOUN
ejpam-4662	736	12	>	>	X
ejpam-4662	736	13	0	0	NUM
ejpam-4662	736	14	.	.	PUNCT
ejpam-4662	737	1	its	its	PRON
ejpam-4662	737	2	support	support	NOUN
ejpam-4662	737	3	is	be	AUX
ejpam-4662	737	4	v	v	NOUN
ejpam-4662	737	5	=	=	SYM
ejpam-4662	737	6	r	r	NOUN
ejpam-4662	737	7	and	and	CCONJ
ejpam-4662	737	8	its	its	PRON
ejpam-4662	737	9	cdf	cdf	PROPN
ejpam-4662	737	10	is	be	AUX
ejpam-4662	737	11	1−	1−	NUM
ejpam-4662	737	12	u	u	NOUN
ejpam-4662	737	13	=	=	PUNCT
ejpam-4662	737	14	(	(	PUNCT
ejpam-4662	737	15	2	2	NUM
ejpam-4662	737	16	π	π	NOUN
ejpam-4662	737	17	arctan(ex	arctan(ex	NOUN
ejpam-4662	737	18	)	)	PUNCT
ejpam-4662	737	19	)	)	PUNCT
ejpam-4662	738	1	r	r	NOUN
ejpam-4662	738	2	,	,	PUNCT
ejpam-4662	738	3	x	x	PUNCT
ejpam-4662	738	4	∈	∈	PROPN
ejpam-4662	738	5	v	v	NOUN
ejpam-4662	738	6	,	,	PUNCT
ejpam-4662	738	7	u	u	NOUN
ejpam-4662	738	8	∈]0	∈]0	ADJ
ejpam-4662	738	9	,	,	PUNCT
ejpam-4662	738	10	1	1	NUM
ejpam-4662	738	11	[	[	NOUN
ejpam-4662	738	12	.	.	PUNCT
ejpam-4662	738	13	(	(	PUNCT
ejpam-4662	738	14	fviii	fviii	NOUN
ejpam-4662	738	15	)	)	PUNCT
ejpam-4662	738	16	case	case	NOUN
ejpam-4662	738	17	r	r	NOUN
ejpam-4662	738	18	̸=	̸=	PROPN
ejpam-4662	738	19	1	1	NUM
ejpam-4662	738	20	.	.	PUNCT
ejpam-4662	739	1	by	by	ADP
ejpam-4662	739	2	applying	apply	VERB
ejpam-4662	739	3	expansion	expansion	NOUN
ejpam-4662	739	4	(	(	PUNCT
ejpam-4662	739	5	47	47	NUM
ejpam-4662	739	6	)	)	PUNCT
ejpam-4662	739	7	on	on	ADP
ejpam-4662	739	8	(	(	PUNCT
ejpam-4662	739	9	fviii	fviii	NOUN
ejpam-4662	739	10	)	)	PUNCT
ejpam-4662	739	11	,	,	PUNCT
ejpam-4662	739	12	we	we	PRON
ejpam-4662	739	13	get	get	VERB
ejpam-4662	739	14	x	x	PUNCT
ejpam-4662	739	15	=	=	PRON
ejpam-4662	739	16	log	log	NOUN
ejpam-4662	739	17	[	[	PUNCT
ejpam-4662	739	18	tan	tan	PROPN
ejpam-4662	739	19	(	(	PUNCT
ejpam-4662	739	20	π	π	PROPN
ejpam-4662	739	21	2	2	NUM
ejpam-4662	739	22	{	{	PUNCT
ejpam-4662	739	23	1−	1−	NUM
ejpam-4662	739	24	u	u	NOUN
ejpam-4662	739	25	r	r	NOUN
ejpam-4662	739	26	+	+	NOUN
ejpam-4662	739	27	1−	1−	NUM
ejpam-4662	739	28	r	r	NOUN
ejpam-4662	739	29	2r2	2r2	NUM
ejpam-4662	739	30	u2	u2	PROPN
ejpam-4662	739	31	+	+	PROPN
ejpam-4662	739	32	o(u3	o(u3	NOUN
ejpam-4662	739	33	)	)	PUNCT
ejpam-4662	739	34	}	}	PUNCT
ejpam-4662	739	35	)	)	PUNCT
ejpam-4662	739	36	]	]	PUNCT
ejpam-4662	739	37	.	.	PUNCT
ejpam-4662	740	1	from	from	ADP
ejpam-4662	740	2	there	there	ADV
ejpam-4662	740	3	,	,	PUNCT
ejpam-4662	740	4	we	we	PRON
ejpam-4662	740	5	use	use	VERB
ejpam-4662	740	6	the	the	DET
ejpam-4662	740	7	property	property	NOUN
ejpam-4662	740	8	that	that	PRON
ejpam-4662	740	9	tan(π/2	tan(π/2	PROPN
ejpam-4662	740	10	−	−	PROPN
ejpam-4662	740	11	u	u	NOUN
ejpam-4662	740	12	)	)	PUNCT
ejpam-4662	740	13	=	=	SYM
ejpam-4662	740	14	1/	1/	NUM
ejpam-4662	740	15	tan(u	tan(u	PROPN
ejpam-4662	740	16	)	)	PUNCT
ejpam-4662	740	17	for	for	ADP
ejpam-4662	740	18	u	u	NOUN
ejpam-4662	740	19	positive	positive	ADJ
ejpam-4662	740	20	and	and	CCONJ
ejpam-4662	740	21	small	small	ADJ
ejpam-4662	740	22	,	,	PUNCT
ejpam-4662	740	23	to	to	PART
ejpam-4662	740	24	have	have	VERB
ejpam-4662	740	25	x	x	X
ejpam-4662	740	26	=	=	SYM
ejpam-4662	740	27	−	−	PROPN
ejpam-4662	740	28	log	log	NOUN
ejpam-4662	740	29	[	[	PUNCT
ejpam-4662	740	30	tan	tan	PROPN
ejpam-4662	740	31	(	(	PUNCT
ejpam-4662	740	32	{	{	PUNCT
ejpam-4662	740	33	u	u	NOUN
ejpam-4662	740	34	r	r	NOUN
ejpam-4662	740	35	+	+	NOUN
ejpam-4662	740	36	1−	1−	NUM
ejpam-4662	740	37	r	r	NOUN
ejpam-4662	740	38	2r2	2r2	NUM
ejpam-4662	740	39	u2	u2	PROPN
ejpam-4662	740	40	+	+	PROPN
ejpam-4662	740	41	o(u3	o(u3	NOUN
ejpam-4662	740	42	)	)	PUNCT
ejpam-4662	740	43	}	}	PUNCT
ejpam-4662	740	44	)	)	PUNCT
ejpam-4662	740	45	]	]	PUNCT
ejpam-4662	740	46	.	.	PUNCT
ejpam-4662	741	1	next	next	ADV
ejpam-4662	741	2	,	,	PUNCT
ejpam-4662	741	3	using	use	VERB
ejpam-4662	741	4	expansion	expansion	NOUN
ejpam-4662	741	5	tan(v	tan(v	PROPN
ejpam-4662	741	6	)	)	PUNCT
ejpam-4662	741	7	=	=	PROPN
ejpam-4662	741	8	v+	v+	ADP
ejpam-4662	741	9	v3/3	v3/3	NOUN
ejpam-4662	741	10	+	+	NOUN
ejpam-4662	741	11	2v5/15+o(v7	2v5/15+o(v7	NUM
ejpam-4662	741	12	)	)	PUNCT
ejpam-4662	741	13	as	as	ADP
ejpam-4662	741	14	v	v	NUM
ejpam-4662	741	15	→	→	SYM
ejpam-4662	741	16	0	0	NUM
ejpam-4662	741	17	but	but	CCONJ
ejpam-4662	741	18	restricting	restrict	VERB
ejpam-4662	741	19	to	to	ADP
ejpam-4662	741	20	the	the	DET
ejpam-4662	741	21	first	first	ADJ
ejpam-4662	741	22	order	order	NOUN
ejpam-4662	741	23	,	,	PUNCT
ejpam-4662	741	24	we	we	PRON
ejpam-4662	741	25	have	have	VERB
ejpam-4662	741	26	x	x	X
ejpam-4662	741	27	=	=	SYM
ejpam-4662	741	28	−	−	PROPN
ejpam-4662	741	29	log	log	NOUN
ejpam-4662	741	30	[	[	PUNCT
ejpam-4662	741	31	π	π	PROPN
ejpam-4662	741	32	2ru	2ru	NOUN
ejpam-4662	741	33	(	(	PUNCT
ejpam-4662	741	34	1−	1−	NUM
ejpam-4662	741	35	1−r	1−r	NUM
ejpam-4662	741	36	2r	2r	NUM
ejpam-4662	741	37	u+o(u2	u+o(u2	PROPN
ejpam-4662	741	38	)	)	PUNCT
ejpam-4662	741	39	)	)	PUNCT
ejpam-4662	741	40	]	]	PUNCT
ejpam-4662	741	41	.	.	PUNCT
ejpam-4662	742	1	finally	finally	ADV
ejpam-4662	742	2	,	,	PUNCT
ejpam-4662	742	3	we	we	PRON
ejpam-4662	742	4	have	have	VERB
ejpam-4662	742	5	f−1(1−	f−1(1−	PROPN
ejpam-4662	742	6	u	u	NOUN
ejpam-4662	742	7	)	)	PUNCT
ejpam-4662	742	8	=	=	SYM
ejpam-4662	742	9	log(2r	log(2r	PROPN
ejpam-4662	742	10	/	/	SYM
ejpam-4662	742	11	π	π	PROPN
ejpam-4662	742	12	)	)	PUNCT
ejpam-4662	743	1	+	+	PUNCT
ejpam-4662	743	2	log(1	log(1	NOUN
ejpam-4662	743	3	/	/	SYM
ejpam-4662	743	4	u)−	u)−	PROPN
ejpam-4662	743	5	1−	1−	NUM
ejpam-4662	743	6	r	r	NOUN
ejpam-4662	743	7	2r	2r	NUM
ejpam-4662	743	8	u+o(u2	u+o(u2	PROPN
ejpam-4662	743	9	)	)	PUNCT
ejpam-4662	743	10	.	.	PUNCT
ejpam-4662	744	1	(	(	PUNCT
ejpam-4662	744	2	61	61	NUM
ejpam-4662	744	3	)	)	PUNCT
ejpam-4662	744	4	quantile	quantile	NOUN
ejpam-4662	744	5	of	of	ADP
ejpam-4662	744	6	burr	burr	NOUN
ejpam-4662	744	7	ix	ix	ADP
ejpam-4662	744	8	distribution	distribution	NOUN
ejpam-4662	744	9	of	of	ADP
ejpam-4662	744	10	parameters	parameter	NOUN
ejpam-4662	745	1	k	k	X
ejpam-4662	745	2	>	>	X
ejpam-4662	745	3	0	0	PUNCT
ejpam-4662	745	4	and	and	CCONJ
ejpam-4662	745	5	r	r	X
ejpam-4662	745	6	>	>	X
ejpam-4662	745	7	0	0	NUM
ejpam-4662	745	8	.	.	PUNCT
ejpam-4662	746	1	its	its	PRON
ejpam-4662	746	2	support	support	NOUN
ejpam-4662	746	3	is	be	AUX
ejpam-4662	746	4	v	v	NOUN
ejpam-4662	746	5	=	=	SYM
ejpam-4662	746	6	r	r	NOUN
ejpam-4662	746	7	and	and	CCONJ
ejpam-4662	746	8	its	its	PRON
ejpam-4662	746	9	cdf	cdf	PROPN
ejpam-4662	746	10	is	be	AUX
ejpam-4662	746	11	s.	s.	PROPN
ejpam-4662	746	12	dembele	dembele	PROPN
ejpam-4662	746	13	et	et	PROPN
ejpam-4662	746	14	al	al	PROPN
ejpam-4662	746	15	.	.	PUNCT
ejpam-4662	746	16	/	/	SYM
ejpam-4662	746	17	eur	eur	PROPN
ejpam-4662	746	18	.	.	PUNCT
ejpam-4662	747	1	j.	j.	PROPN
ejpam-4662	747	2	pure	pure	PROPN
ejpam-4662	747	3	appl	appl	PROPN
ejpam-4662	747	4	.	.	PROPN
ejpam-4662	747	5	math	math	PROPN
ejpam-4662	747	6	,	,	PUNCT
ejpam-4662	747	7	16	16	NUM
ejpam-4662	747	8	(	(	PUNCT
ejpam-4662	747	9	1	1	NUM
ejpam-4662	747	10	)	)	PUNCT
ejpam-4662	747	11	(	(	PUNCT
ejpam-4662	747	12	2023	2023	NUM
ejpam-4662	747	13	)	)	PUNCT
ejpam-4662	747	14	,	,	PUNCT
ejpam-4662	747	15	609	609	NUM
ejpam-4662	747	16	-	-	SYM
ejpam-4662	747	17	656	656	NUM
ejpam-4662	747	18	647	647	NUM
ejpam-4662	747	19	1−	1−	NUM
ejpam-4662	747	20	u	u	NOUN
ejpam-4662	747	21	=	=	PROPN
ejpam-4662	747	22	1−	1−	NUM
ejpam-4662	747	23	(	(	PUNCT
ejpam-4662	747	24	2	2	NUM
ejpam-4662	747	25	2	2	NUM
ejpam-4662	747	26	+	+	CCONJ
ejpam-4662	747	27	k	k	X
ejpam-4662	747	28	(	(	PUNCT
ejpam-4662	747	29	(	(	PUNCT
ejpam-4662	747	30	1	1	NUM
ejpam-4662	747	31	+	+	CCONJ
ejpam-4662	747	32	ex)r	ex)r	NOUN
ejpam-4662	747	33	−	−	NOUN
ejpam-4662	747	34	1	1	NUM
ejpam-4662	747	35	)	)	PUNCT
ejpam-4662	747	36	)	)	PUNCT
ejpam-4662	747	37	,	,	PUNCT
ejpam-4662	747	38	x	x	PUNCT
ejpam-4662	747	39	∈	∈	PROPN
ejpam-4662	747	40	v	v	NOUN
ejpam-4662	747	41	,	,	PUNCT
ejpam-4662	747	42	u	u	NOUN
ejpam-4662	747	43	∈]0	∈]0	ADJ
ejpam-4662	747	44	,	,	PUNCT
ejpam-4662	747	45	1	1	NUM
ejpam-4662	747	46	[	[	NOUN
ejpam-4662	747	47	.	.	PUNCT
ejpam-4662	748	1	(	(	PUNCT
ejpam-4662	748	2	fix	fix	NOUN
ejpam-4662	748	3	)	)	PUNCT
ejpam-4662	748	4	we	we	PRON
ejpam-4662	748	5	get	get	VERB
ejpam-4662	748	6	2	2	NUM
ejpam-4662	748	7	u	u	NOUN
ejpam-4662	748	8	=	=	NOUN
ejpam-4662	748	9	2	2	NUM
ejpam-4662	748	10	+	+	CCONJ
ejpam-4662	749	1	k	k	X
ejpam-4662	750	1	(	(	PUNCT
ejpam-4662	750	2	(	(	PUNCT
ejpam-4662	750	3	1	1	NUM
ejpam-4662	750	4	+	+	CCONJ
ejpam-4662	750	5	ex)r	ex)r	NOUN
ejpam-4662	750	6	−	−	NOUN
ejpam-4662	750	7	1	1	NUM
ejpam-4662	750	8	)	)	PUNCT
ejpam-4662	750	9	,	,	PUNCT
ejpam-4662	750	10	which	which	PRON
ejpam-4662	750	11	leads	lead	VERB
ejpam-4662	750	12	to	to	ADP
ejpam-4662	750	13	(	(	PUNCT
ejpam-4662	750	14	1	1	NUM
ejpam-4662	750	15	+	+	CCONJ
ejpam-4662	750	16	ex)r	ex)r	NOUN
ejpam-4662	750	17	−	−	NOUN
ejpam-4662	750	18	1	1	NUM
ejpam-4662	750	19	=	=	SYM
ejpam-4662	750	20	1	1	NUM
ejpam-4662	750	21	k	k	NOUN
ejpam-4662	750	22	(	(	PUNCT
ejpam-4662	750	23	2	2	NUM
ejpam-4662	750	24	u	u	NOUN
ejpam-4662	750	25	−	−	PROPN
ejpam-4662	750	26	2	2	NUM
ejpam-4662	750	27	)	)	PUNCT
ejpam-4662	750	28	,	,	PUNCT
ejpam-4662	750	29	that	that	ADV
ejpam-4662	750	30	is	is	ADV
ejpam-4662	750	31	(	(	PUNCT
ejpam-4662	750	32	1	1	NUM
ejpam-4662	750	33	+	+	CCONJ
ejpam-4662	750	34	ex)r	ex)r	NOUN
ejpam-4662	750	35	=	=	SYM
ejpam-4662	750	36	2u−1	2u−1	NUM
ejpam-4662	750	37	k	k	NOUN
ejpam-4662	750	38	(	(	PUNCT
ejpam-4662	750	39	1−	1−	NUM
ejpam-4662	750	40	u	u	NOUN
ejpam-4662	750	41	)	)	PUNCT
ejpam-4662	750	42	+	+	CCONJ
ejpam-4662	750	43	1	1	NUM
ejpam-4662	750	44	=	=	SYM
ejpam-4662	750	45	2u−1	2u−1	NUM
ejpam-4662	750	46	k	k	NOUN
ejpam-4662	750	47	(	(	PUNCT
ejpam-4662	750	48	1−	1−	NUM
ejpam-4662	750	49	u+	u+	NOUN
ejpam-4662	750	50	ku	ku	PROPN
ejpam-4662	750	51	2	2	NUM
ejpam-4662	750	52	)	)	PUNCT
ejpam-4662	750	53	=	=	SYM
ejpam-4662	751	1	2u−1	2u−1	NUM
ejpam-4662	751	2	k	k	X
ejpam-4662	751	3	(	(	PUNCT
ejpam-4662	751	4	1−	1−	NUM
ejpam-4662	751	5	2−	2−	NUM
ejpam-4662	751	6	k	k	NOUN
ejpam-4662	751	7	2	2	NUM
ejpam-4662	751	8	u	u	NOUN
ejpam-4662	751	9	)	)	PUNCT
ejpam-4662	751	10	.	.	PUNCT
ejpam-4662	752	1	so	so	ADV
ejpam-4662	752	2	,	,	PUNCT
ejpam-4662	752	3	we	we	PRON
ejpam-4662	752	4	have	have	VERB
ejpam-4662	752	5	by	by	ADP
ejpam-4662	752	6	expanding	expand	VERB
ejpam-4662	752	7	1	1	NUM
ejpam-4662	752	8	+	+	CCONJ
ejpam-4662	752	9	ex	ex	X
ejpam-4662	752	10	=	=	SYM
ejpam-4662	752	11	(	(	PUNCT
ejpam-4662	752	12	2u−1	2u−1	NUM
ejpam-4662	752	13	k	k	X
ejpam-4662	752	14	)	)	PUNCT
ejpam-4662	752	15	1	1	NUM
ejpam-4662	752	16	/	/	SYM
ejpam-4662	752	17	r	r	NOUN
ejpam-4662	752	18	(	(	PUNCT
ejpam-4662	752	19	1−	1−	NUM
ejpam-4662	752	20	2−	2−	NUM
ejpam-4662	752	21	k	k	PROPN
ejpam-4662	752	22	2r	2r	NUM
ejpam-4662	752	23	u+o(u2	u+o(u2	PROPN
ejpam-4662	752	24	)	)	PUNCT
ejpam-4662	752	25	)	)	PUNCT
ejpam-4662	752	26	.	.	PUNCT
ejpam-4662	753	1	then	then	ADV
ejpam-4662	753	2	we	we	PRON
ejpam-4662	753	3	have	have	VERB
ejpam-4662	753	4	ex	ex	ADJ
ejpam-4662	753	5	=	=	SYM
ejpam-4662	753	6	(	(	PUNCT
ejpam-4662	753	7	2u−1	2u−1	NUM
ejpam-4662	753	8	k	k	X
ejpam-4662	753	9	)	)	PUNCT
ejpam-4662	753	10	1	1	NUM
ejpam-4662	753	11	/	/	SYM
ejpam-4662	753	12	r	r	NOUN
ejpam-4662	753	13	(	(	PUNCT
ejpam-4662	753	14	1−	1−	NUM
ejpam-4662	753	15	(	(	PUNCT
ejpam-4662	753	16	2−	2−	NUM
ejpam-4662	753	17	k	k	NOUN
ejpam-4662	753	18	2r	2r	NUM
ejpam-4662	753	19	)	)	PUNCT
ejpam-4662	754	1	u−	u−	PROPN
ejpam-4662	754	2	(	(	PUNCT
ejpam-4662	754	3	ku	ku	PROPN
ejpam-4662	754	4	2	2	NUM
ejpam-4662	754	5	)	)	PUNCT
ejpam-4662	754	6	1	1	NUM
ejpam-4662	754	7	/	/	SYM
ejpam-4662	754	8	r	r	NOUN
ejpam-4662	754	9	+	+	NOUN
ejpam-4662	754	10	o(u2	o(u2	ADJ
ejpam-4662	754	11	)	)	PUNCT
ejpam-4662	754	12	)	)	PUNCT
ejpam-4662	754	13	and	and	CCONJ
ejpam-4662	754	14	s.	s.	PROPN
ejpam-4662	754	15	dembele	dembele	PROPN
ejpam-4662	754	16	et	et	PROPN
ejpam-4662	754	17	al	al	PROPN
ejpam-4662	754	18	.	.	PUNCT
ejpam-4662	754	19	/	/	SYM
ejpam-4662	754	20	eur	eur	PROPN
ejpam-4662	754	21	.	.	PUNCT
ejpam-4662	755	1	j.	j.	PROPN
ejpam-4662	755	2	pure	pure	PROPN
ejpam-4662	755	3	appl	appl	PROPN
ejpam-4662	755	4	.	.	PROPN
ejpam-4662	755	5	math	math	PROPN
ejpam-4662	755	6	,	,	PUNCT
ejpam-4662	755	7	16	16	NUM
ejpam-4662	755	8	(	(	PUNCT
ejpam-4662	755	9	1	1	NUM
ejpam-4662	755	10	)	)	PUNCT
ejpam-4662	755	11	(	(	PUNCT
ejpam-4662	755	12	2023	2023	NUM
ejpam-4662	755	13	)	)	PUNCT
ejpam-4662	755	14	,	,	PUNCT
ejpam-4662	755	15	609	609	NUM
ejpam-4662	755	16	-	-	SYM
ejpam-4662	755	17	656	656	NUM
ejpam-4662	755	18	648	648	NUM
ejpam-4662	755	19	x	x	SYM
ejpam-4662	755	20	=	=	SYM
ejpam-4662	755	21	1	1	NUM
ejpam-4662	755	22	r	r	NOUN
ejpam-4662	755	23	log	log	NOUN
ejpam-4662	755	24	(	(	PUNCT
ejpam-4662	755	25	2u−1	2u−1	NUM
ejpam-4662	755	26	k	k	NOUN
ejpam-4662	755	27	)	)	PUNCT
ejpam-4662	755	28	−	−	PROPN
ejpam-4662	756	1	(	(	PUNCT
ejpam-4662	756	2	2−	2−	NUM
ejpam-4662	756	3	k	k	NOUN
ejpam-4662	756	4	2r	2r	NUM
ejpam-4662	756	5	)	)	PUNCT
ejpam-4662	757	1	u−	u−	PROPN
ejpam-4662	757	2	(	(	PUNCT
ejpam-4662	757	3	ku	ku	PROPN
ejpam-4662	757	4	2	2	NUM
ejpam-4662	757	5	)	)	PUNCT
ejpam-4662	757	6	1	1	NUM
ejpam-4662	757	7	/	/	SYM
ejpam-4662	757	8	r	r	NOUN
ejpam-4662	757	9	+	+	NOUN
ejpam-4662	757	10	o(u2	o(u2	ADJ
ejpam-4662	757	11	)	)	PUNCT
ejpam-4662	757	12	.	.	PUNCT
ejpam-4662	758	1	now	now	ADV
ejpam-4662	758	2	,	,	PUNCT
ejpam-4662	758	3	we	we	PRON
ejpam-4662	758	4	conclude	conclude	VERB
ejpam-4662	758	5	,	,	PUNCT
ejpam-4662	758	6	that	that	SCONJ
ejpam-4662	758	7	the	the	DET
ejpam-4662	758	8	quatile	quatile	NOUN
ejpam-4662	758	9	depends	depend	VERB
ejpam-4662	758	10	on	on	ADP
ejpam-4662	758	11	the	the	DET
ejpam-4662	758	12	value	value	NOUN
ejpam-4662	758	13	of	of	ADP
ejpam-4662	758	14	r	r	NOUN
ejpam-4662	758	15	>	>	X
ejpam-4662	758	16	0	0	NUM
ejpam-4662	758	17	,	,	PUNCT
ejpam-4662	758	18	as	as	SCONJ
ejpam-4662	758	19	follows	follow	VERB
ejpam-4662	758	20	.	.	PUNCT
ejpam-4662	759	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	759	2	u	u	NOUN
ejpam-4662	759	3	)	)	PUNCT
ejpam-4662	759	4	=	=	PUNCT
ejpam-4662	759	5			PUNCT
ejpam-4662	759	6	1	1	NUM
ejpam-4662	759	7	r	r	NOUN
ejpam-4662	759	8	log	log	NOUN
ejpam-4662	759	9	(	(	PUNCT
ejpam-4662	759	10	2	2	NUM
ejpam-4662	759	11	uk	uk	PROPN
ejpam-4662	759	12	)	)	PUNCT
ejpam-4662	759	13	−	−	PROPN
ejpam-4662	760	1	(	(	PUNCT
ejpam-4662	760	2	2−k	2−k	NUM
ejpam-4662	760	3	2r	2r	NUM
ejpam-4662	760	4	)	)	PUNCT
ejpam-4662	761	1	u+o(u2	u+o(u2	PROPN
ejpam-4662	761	2	)	)	PUNCT
ejpam-4662	761	3	if	if	SCONJ
ejpam-4662	761	4	0	0	NUM
ejpam-4662	761	5	<	<	X
ejpam-4662	761	6	r	r	NOUN
ejpam-4662	761	7	≤	≤	NUM
ejpam-4662	761	8	1/2	1/2	NUM
ejpam-4662	761	9	1	1	NUM
ejpam-4662	761	10	r	r	NOUN
ejpam-4662	761	11	log	log	NOUN
ejpam-4662	761	12	(	(	PUNCT
ejpam-4662	761	13	2	2	NUM
ejpam-4662	761	14	uk	uk	PROPN
ejpam-4662	761	15	)	)	PUNCT
ejpam-4662	761	16	−	−	PROPN
ejpam-4662	762	1	(	(	PUNCT
ejpam-4662	762	2	2−k	2−k	NUM
ejpam-4662	762	3	2r	2r	NUM
ejpam-4662	762	4	)	)	PUNCT
ejpam-4662	763	1	u+o(u1	u+o(u1	NOUN
ejpam-4662	763	2	/	/	SYM
ejpam-4662	763	3	r	r	NOUN
ejpam-4662	763	4	)	)	PUNCT
ejpam-4662	763	5	if	if	SCONJ
ejpam-4662	763	6	r	r	NOUN
ejpam-4662	763	7	>	>	X
ejpam-4662	763	8	1/2	1/2	NUM
ejpam-4662	763	9	.	.	PUNCT
ejpam-4662	764	1	quantile	quantile	NOUN
ejpam-4662	764	2	of	of	ADP
ejpam-4662	764	3	burr	burr	NOUN
ejpam-4662	764	4	x	x	INTJ
ejpam-4662	764	5	distribution	distribution	NOUN
ejpam-4662	764	6	of	of	ADP
ejpam-4662	764	7	parameter	parameter	NOUN
ejpam-4662	764	8	r	r	NOUN
ejpam-4662	764	9	>	>	X
ejpam-4662	764	10	0	0	NUM
ejpam-4662	764	11	.	.	PUNCT
ejpam-4662	765	1	its	its	PRON
ejpam-4662	765	2	support	support	NOUN
ejpam-4662	765	3	is	be	AUX
ejpam-4662	765	4	v	v	NOUN
ejpam-4662	765	5	=	=	PUNCT
ejpam-4662	765	6	r+	r+	NOUN
ejpam-4662	765	7	and	and	CCONJ
ejpam-4662	765	8	its	its	PRON
ejpam-4662	765	9	cdf	cdf	PROPN
ejpam-4662	765	10	is	be	AUX
ejpam-4662	765	11	1−	1−	NUM
ejpam-4662	765	12	u	u	NOUN
ejpam-4662	765	13	=	=	PUNCT
ejpam-4662	765	14	(	(	PUNCT
ejpam-4662	765	15	1	1	NUM
ejpam-4662	765	16	+	+	NUM
ejpam-4662	765	17	e−x2	e−x2	NOUN
ejpam-4662	765	18	)	)	PUNCT
ejpam-4662	766	1	−r	−r	ADJ
ejpam-4662	766	2	,	,	PUNCT
ejpam-4662	766	3	x	x	PUNCT
ejpam-4662	766	4	∈	∈	PROPN
ejpam-4662	766	5	v	v	NOUN
ejpam-4662	766	6	,	,	PUNCT
ejpam-4662	766	7	u	u	NOUN
ejpam-4662	766	8	∈]0	∈]0	ADJ
ejpam-4662	766	9	,	,	PUNCT
ejpam-4662	766	10	1	1	NUM
ejpam-4662	766	11	[	[	NOUN
ejpam-4662	766	12	.	.	PUNCT
ejpam-4662	767	1	(	(	PUNCT
ejpam-4662	767	2	fxa	fxa	PROPN
ejpam-4662	767	3	)	)	PUNCT
ejpam-4662	767	4	by	by	ADP
ejpam-4662	767	5	applying	apply	VERB
ejpam-4662	767	6	expansion	expansion	NOUN
ejpam-4662	767	7	(	(	PUNCT
ejpam-4662	767	8	46	46	NUM
ejpam-4662	767	9	)	)	PUNCT
ejpam-4662	767	10	on	on	ADP
ejpam-4662	767	11	(	(	PUNCT
ejpam-4662	767	12	fxa	fxa	NOUN
ejpam-4662	767	13	)	)	PUNCT
ejpam-4662	767	14	,	,	PUNCT
ejpam-4662	767	15	we	we	PRON
ejpam-4662	767	16	get	get	VERB
ejpam-4662	767	17	e−x2	e−x2	PUNCT
ejpam-4662	767	18	=	=	SYM
ejpam-4662	767	19	u	u	NOUN
ejpam-4662	767	20	r	r	NOUN
ejpam-4662	767	21	(	(	PUNCT
ejpam-4662	767	22	1	1	NUM
ejpam-4662	767	23	+	+	CCONJ
ejpam-4662	767	24	r	r	NOUN
ejpam-4662	767	25	+	+	NUM
ejpam-4662	767	26	1	1	NUM
ejpam-4662	767	27	2r	2r	NUM
ejpam-4662	767	28	u+o(u2	u+o(u2	PROPN
ejpam-4662	767	29	)	)	PUNCT
ejpam-4662	767	30	)	)	PUNCT
ejpam-4662	767	31	)	)	PUNCT
ejpam-4662	767	32	and	and	CCONJ
ejpam-4662	767	33	−x2	−x2	PROPN
ejpam-4662	767	34	=	=	PUNCT
ejpam-4662	768	1	−	−	NOUN
ejpam-4662	768	2	log	log	NOUN
ejpam-4662	768	3	r	r	NOUN
ejpam-4662	768	4	+	+	CCONJ
ejpam-4662	768	5	log	log	VERB
ejpam-4662	768	6	u+	u+	NUM
ejpam-4662	768	7	r	r	NOUN
ejpam-4662	768	8	+	+	NUM
ejpam-4662	768	9	1	1	NUM
ejpam-4662	768	10	2r	2r	NUM
ejpam-4662	768	11	u+o(u2	u+o(u2	PROPN
ejpam-4662	768	12	)	)	PUNCT
ejpam-4662	768	13	)	)	PUNCT
ejpam-4662	769	1	=	=	SYM
ejpam-4662	769	2	−	−	PROPN
ejpam-4662	769	3	(	(	PUNCT
ejpam-4662	769	4	log(1	log(1	NOUN
ejpam-4662	769	5	/	/	SYM
ejpam-4662	769	6	u	u	NOUN
ejpam-4662	769	7	)	)	PUNCT
ejpam-4662	769	8	{	{	PUNCT
ejpam-4662	769	9	1−	1−	NUM
ejpam-4662	769	10	r	r	NOUN
ejpam-4662	769	11	+	+	NUM
ejpam-4662	769	12	1	1	NUM
ejpam-4662	769	13	2r	2r	NUM
ejpam-4662	769	14	u	u	PROPN
ejpam-4662	769	15	log(1	log(1	NOUN
ejpam-4662	769	16	/	/	SYM
ejpam-4662	769	17	u	u	NOUN
ejpam-4662	769	18	)	)	PUNCT
ejpam-4662	769	19	+	+	CCONJ
ejpam-4662	769	20	log	log	NOUN
ejpam-4662	769	21	r	r	NOUN
ejpam-4662	769	22	log(1	log(1	NOUN
ejpam-4662	769	23	/	/	SYM
ejpam-4662	769	24	u	u	NOUN
ejpam-4662	769	25	)	)	PUNCT
ejpam-4662	770	1	+	+	NOUN
ejpam-4662	770	2	o	o	X
ejpam-4662	770	3	(	(	PUNCT
ejpam-4662	770	4	u2	u2	PROPN
ejpam-4662	770	5	log(1	log(1	NOUN
ejpam-4662	770	6	/	/	SYM
ejpam-4662	770	7	u	u	NOUN
ejpam-4662	770	8	)	)	PUNCT
ejpam-4662	770	9	)	)	PUNCT
ejpam-4662	770	10	}	}	PUNCT
ejpam-4662	770	11	)	)	PUNCT
ejpam-4662	770	12	.	.	PUNCT
ejpam-4662	771	1	so	so	ADV
ejpam-4662	771	2	by	by	ADP
ejpam-4662	771	3	expanding	expand	VERB
ejpam-4662	771	4	the	the	DET
ejpam-4662	771	5	latter	latter	ADJ
ejpam-4662	771	6	line	line	NOUN
ejpam-4662	771	7	at	at	ADP
ejpam-4662	771	8	the	the	DET
ejpam-4662	771	9	power	power	NOUN
ejpam-4662	771	10	1/2	1/2	NUM
ejpam-4662	771	11	,	,	PUNCT
ejpam-4662	771	12	we	we	PRON
ejpam-4662	771	13	get	get	VERB
ejpam-4662	771	14	x	x	X
ejpam-4662	771	15	=	=	PRON
ejpam-4662	771	16	(	(	PUNCT
ejpam-4662	771	17	log(1	log(1	NOUN
ejpam-4662	771	18	/	/	SYM
ejpam-4662	771	19	u	u	NOUN
ejpam-4662	771	20	)	)	PUNCT
ejpam-4662	771	21	{	{	PUNCT
ejpam-4662	771	22	1−	1−	NUM
ejpam-4662	771	23	r	r	NOUN
ejpam-4662	771	24	+	+	NUM
ejpam-4662	771	25	1	1	NUM
ejpam-4662	771	26	2r	2r	NUM
ejpam-4662	771	27	u	u	PROPN
ejpam-4662	771	28	log(1	log(1	NOUN
ejpam-4662	771	29	/	/	SYM
ejpam-4662	771	30	u	u	NOUN
ejpam-4662	771	31	)	)	PUNCT
ejpam-4662	772	1	+	+	CCONJ
ejpam-4662	772	2	log	log	NOUN
ejpam-4662	772	3	r	r	NOUN
ejpam-4662	772	4	log(1	log(1	NOUN
ejpam-4662	772	5	/	/	SYM
ejpam-4662	772	6	u	u	NOUN
ejpam-4662	772	7	)	)	PUNCT
ejpam-4662	773	1	+	+	NOUN
ejpam-4662	773	2	o	o	X
ejpam-4662	773	3	(	(	PUNCT
ejpam-4662	773	4	u2	u2	PROPN
ejpam-4662	773	5	log(1	log(1	NOUN
ejpam-4662	773	6	/	/	SYM
ejpam-4662	773	7	u	u	NOUN
ejpam-4662	773	8	)	)	PUNCT
ejpam-4662	773	9	)	)	PUNCT
ejpam-4662	773	10	}	}	PUNCT
ejpam-4662	773	11	)	)	PUNCT
ejpam-4662	773	12	1/2	1/2	NUM
ejpam-4662	773	13	=	=	SYM
ejpam-4662	773	14	(	(	PUNCT
ejpam-4662	773	15	log(1	log(1	NOUN
ejpam-4662	773	16	/	/	SYM
ejpam-4662	773	17	u))1/2	u))1/2	ADJ
ejpam-4662	773	18	{	{	PUNCT
ejpam-4662	773	19	1−	1−	NUM
ejpam-4662	773	20	r	r	NOUN
ejpam-4662	773	21	+	+	CCONJ
ejpam-4662	773	22	1	1	NUM
ejpam-4662	773	23	4r	4r	NUM
ejpam-4662	773	24	u	u	NOUN
ejpam-4662	773	25	log(1	log(1	NOUN
ejpam-4662	773	26	/	/	SYM
ejpam-4662	773	27	u	u	NOUN
ejpam-4662	773	28	)	)	PUNCT
ejpam-4662	774	1	+	+	NOUN
ejpam-4662	774	2	o	o	X
ejpam-4662	774	3	(	(	PUNCT
ejpam-4662	774	4	u2	u2	PROPN
ejpam-4662	774	5	log(1	log(1	NOUN
ejpam-4662	774	6	/	/	SYM
ejpam-4662	774	7	u	u	NOUN
ejpam-4662	774	8	)	)	PUNCT
ejpam-4662	774	9	)	)	PUNCT
ejpam-4662	774	10	}	}	PUNCT
ejpam-4662	774	11	.	.	PUNCT
ejpam-4662	775	1	s.	s.	PROPN
ejpam-4662	775	2	dembele	dembele	PROPN
ejpam-4662	775	3	et	et	PROPN
ejpam-4662	775	4	al	al	PROPN
ejpam-4662	775	5	.	.	PUNCT
ejpam-4662	775	6	/	/	SYM
ejpam-4662	775	7	eur	eur	PROPN
ejpam-4662	775	8	.	.	PUNCT
ejpam-4662	776	1	j.	j.	PROPN
ejpam-4662	776	2	pure	pure	PROPN
ejpam-4662	776	3	appl	appl	PROPN
ejpam-4662	776	4	.	.	PROPN
ejpam-4662	776	5	math	math	PROPN
ejpam-4662	776	6	,	,	PUNCT
ejpam-4662	776	7	16	16	NUM
ejpam-4662	776	8	(	(	PUNCT
ejpam-4662	776	9	1	1	NUM
ejpam-4662	776	10	)	)	PUNCT
ejpam-4662	776	11	(	(	PUNCT
ejpam-4662	776	12	2023	2023	NUM
ejpam-4662	776	13	)	)	PUNCT
ejpam-4662	776	14	,	,	PUNCT
ejpam-4662	776	15	609	609	NUM
ejpam-4662	776	16	-	-	SYM
ejpam-4662	776	17	656	656	NUM
ejpam-4662	776	18	649	649	NUM
ejpam-4662	776	19	finally	finally	ADV
ejpam-4662	777	1	,	,	PUNCT
ejpam-4662	777	2	we	we	PRON
ejpam-4662	777	3	have	have	VERB
ejpam-4662	777	4	f−1(1−	f−1(1−	PROPN
ejpam-4662	777	5	u	u	NOUN
ejpam-4662	777	6	)	)	PUNCT
ejpam-4662	777	7	=	=	SYM
ejpam-4662	777	8	(	(	PUNCT
ejpam-4662	777	9	log(1	log(1	NOUN
ejpam-4662	777	10	/	/	SYM
ejpam-4662	777	11	u))1/2	u))1/2	ADJ
ejpam-4662	777	12	{	{	PUNCT
ejpam-4662	777	13	1−	1−	NUM
ejpam-4662	777	14	r	r	NOUN
ejpam-4662	777	15	+	+	CCONJ
ejpam-4662	777	16	1	1	NUM
ejpam-4662	777	17	4r	4r	NUM
ejpam-4662	777	18	u	u	NOUN
ejpam-4662	777	19	log(1	log(1	NOUN
ejpam-4662	777	20	/	/	SYM
ejpam-4662	777	21	u	u	NOUN
ejpam-4662	777	22	)	)	PUNCT
ejpam-4662	778	1	+	+	NOUN
ejpam-4662	778	2	o	o	X
ejpam-4662	778	3	(	(	PUNCT
ejpam-4662	778	4	u2	u2	PROPN
ejpam-4662	778	5	log(1	log(1	NOUN
ejpam-4662	778	6	/	/	SYM
ejpam-4662	778	7	u	u	NOUN
ejpam-4662	778	8	)	)	PUNCT
ejpam-4662	778	9	)	)	PUNCT
ejpam-4662	778	10	}	}	PUNCT
ejpam-4662	778	11	.	.	PUNCT
ejpam-4662	779	1	quantile	quantile	NOUN
ejpam-4662	779	2	of	of	ADP
ejpam-4662	779	3	burr	burr	NOUN
ejpam-4662	779	4	xi	xi	ADP
ejpam-4662	779	5	distribution	distribution	NOUN
ejpam-4662	779	6	of	of	ADP
ejpam-4662	779	7	parameter	parameter	NOUN
ejpam-4662	779	8	r	r	NOUN
ejpam-4662	779	9	>	>	X
ejpam-4662	779	10	0	0	NUM
ejpam-4662	779	11	.	.	PUNCT
ejpam-4662	780	1	its	its	PRON
ejpam-4662	780	2	support	support	NOUN
ejpam-4662	780	3	is	be	AUX
ejpam-4662	780	4	v	v	NOUN
ejpam-4662	780	5	=	=	SYM
ejpam-4662	780	6	[	[	X
ejpam-4662	780	7	0	0	NUM
ejpam-4662	780	8	,	,	PUNCT
ejpam-4662	780	9	1	1	NUM
ejpam-4662	780	10	]	]	PUNCT
ejpam-4662	780	11	and	and	CCONJ
ejpam-4662	780	12	its	its	PRON
ejpam-4662	780	13	cdf	cdf	PROPN
ejpam-4662	780	14	is	be	AUX
ejpam-4662	780	15	f	f	PROPN
ejpam-4662	780	16	(	(	PUNCT
ejpam-4662	780	17	x	x	NOUN
ejpam-4662	780	18	)	)	PUNCT
ejpam-4662	781	1	=	=	SYM
ejpam-4662	781	2	(	(	PUNCT
ejpam-4662	781	3	x−	x−	PROPN
ejpam-4662	781	4	1	1	NUM
ejpam-4662	781	5	2π	2π	PROPN
ejpam-4662	781	6	sin(2πx	sin(2πx	NUM
ejpam-4662	781	7	)	)	PUNCT
ejpam-4662	781	8	)	)	PUNCT
ejpam-4662	782	1	r	r	NOUN
ejpam-4662	782	2	,	,	PUNCT
ejpam-4662	782	3	x	x	PUNCT
ejpam-4662	782	4	∈	∈	PROPN
ejpam-4662	782	5	v	v	NOUN
ejpam-4662	782	6	,	,	PUNCT
ejpam-4662	782	7	u	u	NOUN
ejpam-4662	782	8	∈]0	∈]0	ADJ
ejpam-4662	782	9	,	,	PUNCT
ejpam-4662	782	10	1	1	NUM
ejpam-4662	782	11	[	[	NOUN
ejpam-4662	782	12	.	.	PUNCT
ejpam-4662	783	1	(	(	PUNCT
ejpam-4662	783	2	fxi	fxi	NOUN
ejpam-4662	783	3	)	)	PUNCT
ejpam-4662	783	4	let	let	VERB
ejpam-4662	783	5	us	we	PRON
ejpam-4662	783	6	set	set	VERB
ejpam-4662	783	7	g(x	g(x	NOUN
ejpam-4662	783	8	)	)	PUNCT
ejpam-4662	784	1	=	=	SYM
ejpam-4662	784	2	sin(2πx	sin(2πx	NOUN
ejpam-4662	784	3	)	)	PUNCT
ejpam-4662	784	4	of	of	ADP
ejpam-4662	784	5	x	x	SYM
ejpam-4662	784	6	∈	∈	PROPN
ejpam-4662	785	1	[	[	X
ejpam-4662	785	2	0	0	NUM
ejpam-4662	785	3	,	,	PUNCT
ejpam-4662	785	4	1	1	NUM
ejpam-4662	785	5	]	]	PUNCT
ejpam-4662	785	6	.	.	PUNCT
ejpam-4662	786	1	the	the	DET
ejpam-4662	786	2	first	first	ADJ
ejpam-4662	786	3	seven	seven	NUM
ejpam-4662	786	4	derivatives	derivative	NOUN
ejpam-4662	786	5	(	(	PUNCT
ejpam-4662	786	6	at	at	ADP
ejpam-4662	786	7	left	left	NOUN
ejpam-4662	786	8	of	of	ADP
ejpam-4662	786	9	x	x	X
ejpam-4662	786	10	=	=	SYM
ejpam-4662	786	11	1	1	NUM
ejpam-4662	786	12	)	)	PUNCT
ejpam-4662	786	13	are	be	AUX
ejpam-4662	786	14	g′(x	g′(x	NOUN
ejpam-4662	786	15	)	)	PUNCT
ejpam-4662	787	1	=	=	SYM
ejpam-4662	787	2	2π	2π	PROPN
ejpam-4662	787	3	cos(2πx	cos(2πx	PROPN
ejpam-4662	787	4	)	)	PUNCT
ejpam-4662	787	5	,	,	PUNCT
ejpam-4662	787	6	g′′(x	g′′(x	NOUN
ejpam-4662	787	7	)	)	PUNCT
ejpam-4662	787	8	=	=	SYM
ejpam-4662	788	1	−(2π)2	−(2π)2	PROPN
ejpam-4662	788	2	sin(2πx	sin(2πx	NOUN
ejpam-4662	788	3	)	)	PUNCT
ejpam-4662	788	4	,	,	PUNCT
ejpam-4662	788	5	g(3)(x	g(3)(x	NOUN
ejpam-4662	788	6	)	)	PUNCT
ejpam-4662	788	7	=	=	SYM
ejpam-4662	789	1	−(2π)3	−(2π)3	PROPN
ejpam-4662	789	2	cos(2πx	cos(2πx	NOUN
ejpam-4662	789	3	)	)	PUNCT
ejpam-4662	789	4	,	,	PUNCT
ejpam-4662	789	5	g(4)(x	g(4)(x	PROPN
ejpam-4662	789	6	)	)	PUNCT
ejpam-4662	789	7	=	=	PUNCT
ejpam-4662	790	1	+	+	ADJ
ejpam-4662	790	2	(	(	PUNCT
ejpam-4662	790	3	2π)4	2π)4	NUM
ejpam-4662	790	4	sin(2πx	sin(2πx	NOUN
ejpam-4662	790	5	)	)	PUNCT
ejpam-4662	790	6	,	,	PUNCT
ejpam-4662	790	7	g(5)(x	g(5)(x	NOUN
ejpam-4662	790	8	)	)	PUNCT
ejpam-4662	790	9	=	=	SYM
ejpam-4662	790	10	(	(	PUNCT
ejpam-4662	790	11	2π)5	2π)5	NUM
ejpam-4662	790	12	cos(2πx	cos(2πx	NOUN
ejpam-4662	790	13	)	)	PUNCT
ejpam-4662	790	14	,	,	PUNCT
ejpam-4662	790	15	g(6)(x	g(6)(x	PROPN
ejpam-4662	790	16	)	)	PUNCT
ejpam-4662	790	17	=	=	SYM
ejpam-4662	790	18	−(2π)6	−(2π)6	NUM
ejpam-4662	790	19	sin(2πx	sin(2πx	NOUN
ejpam-4662	790	20	)	)	PUNCT
ejpam-4662	790	21	and	and	CCONJ
ejpam-4662	790	22	g(7)(x	g(7)(x	NOUN
ejpam-4662	790	23	)	)	PUNCT
ejpam-4662	790	24	=	=	SYM
ejpam-4662	790	25	−(2π)6	−(2π)6	NUM
ejpam-4662	790	26	cos(2πx	cos(2πx	NOUN
ejpam-4662	790	27	)	)	PUNCT
ejpam-4662	790	28	.	.	PUNCT
ejpam-4662	791	1	the	the	DET
ejpam-4662	791	2	even	even	ADV
ejpam-4662	791	3	derivatives	derivative	NOUN
ejpam-4662	791	4	vanish	vanish	VERB
ejpam-4662	791	5	at	at	ADP
ejpam-4662	791	6	x	x	X
ejpam-4662	791	7	=	=	SYM
ejpam-4662	791	8	1	1	NUM
ejpam-4662	791	9	and	and	CCONJ
ejpam-4662	791	10	the	the	DET
ejpam-4662	791	11	odd	odd	ADJ
ejpam-4662	791	12	derivatives	derivative	NOUN
ejpam-4662	791	13	take	take	VERB
ejpam-4662	791	14	values	value	NOUN
ejpam-4662	791	15	(	(	PUNCT
ejpam-4662	791	16	−1)k(2π)2k+1	−1)k(2π)2k+1	PROPN
ejpam-4662	791	17	,	,	PUNCT
ejpam-4662	791	18	k	k	PROPN
ejpam-4662	791	19	≥	≥	PROPN
ejpam-4662	791	20	0	0	NUM
ejpam-4662	791	21	.	.	PUNCT
ejpam-4662	792	1	thus	thus	ADV
ejpam-4662	792	2	,	,	PUNCT
ejpam-4662	792	3	g	g	PROPN
ejpam-4662	792	4	is	be	AUX
ejpam-4662	792	5	expanded	expand	VERB
ejpam-4662	792	6	at	at	ADP
ejpam-4662	792	7	x	x	X
ejpam-4662	792	8	=	=	SYM
ejpam-4662	792	9	1	1	NUM
ejpam-4662	792	10	as	as	SCONJ
ejpam-4662	792	11	follows	follow	VERB
ejpam-4662	792	12	.	.	PUNCT
ejpam-4662	793	1	sin(2πx	sin(2πx	NUM
ejpam-4662	793	2	)	)	PUNCT
ejpam-4662	793	3	=	=	PUNCT
ejpam-4662	794	1	(	(	PUNCT
ejpam-4662	794	2	2π)(x−	2π)(x−	NUM
ejpam-4662	794	3	1)−	1)−	NUM
ejpam-4662	794	4	(	(	PUNCT
ejpam-4662	794	5	2π)3	2π)3	NUM
ejpam-4662	794	6	6	6	NUM
ejpam-4662	794	7	(	(	PUNCT
ejpam-4662	794	8	x−	x−	PROPN
ejpam-4662	794	9	1)3	1)3	PROPN
ejpam-4662	794	10	+	+	CCONJ
ejpam-4662	794	11	(	(	PUNCT
ejpam-4662	794	12	2π)5	2π)5	NUM
ejpam-4662	794	13	5	5	NUM
ejpam-4662	794	14	!	!	PUNCT
ejpam-4662	794	15	(	(	PUNCT
ejpam-4662	794	16	x−	x−	PROPN
ejpam-4662	794	17	1)5	1)5	NUM
ejpam-4662	794	18	−	−	PROPN
ejpam-4662	795	1	(	(	PUNCT
ejpam-4662	795	2	2π)7	2π)7	NUM
ejpam-4662	795	3	7	7	NUM
ejpam-4662	795	4	!	!	PUNCT
ejpam-4662	796	1	(	(	PUNCT
ejpam-4662	796	2	x−	x−	PROPN
ejpam-4662	796	3	1)7	1)7	PROPN
ejpam-4662	797	1	+	+	PROPN
ejpam-4662	797	2	o	o	X
ejpam-4662	797	3	(	(	PUNCT
ejpam-4662	797	4	(	(	PUNCT
ejpam-4662	797	5	x−	x−	PROPN
ejpam-4662	797	6	1)9	1)9	NUM
ejpam-4662	797	7	)	)	PUNCT
ejpam-4662	797	8	)	)	PUNCT
ejpam-4662	797	9	.	.	PUNCT
ejpam-4662	798	1	so	so	ADV
ejpam-4662	798	2	,	,	PUNCT
ejpam-4662	798	3	we	we	PRON
ejpam-4662	798	4	have	have	VERB
ejpam-4662	798	5	f	f	PROPN
ejpam-4662	798	6	(	(	PUNCT
ejpam-4662	798	7	x	x	NOUN
ejpam-4662	798	8	)	)	PUNCT
ejpam-4662	798	9	=	=	SYM
ejpam-4662	798	10	(	(	PUNCT
ejpam-4662	798	11	x−	x−	PROPN
ejpam-4662	798	12	(	(	PUNCT
ejpam-4662	798	13	x−	x−	PROPN
ejpam-4662	798	14	1	1	NUM
ejpam-4662	798	15	)	)	PUNCT
ejpam-4662	799	1	+	+	CCONJ
ejpam-4662	799	2	(	(	PUNCT
ejpam-4662	799	3	2π)2	2π)2	NUM
ejpam-4662	799	4	6	6	NUM
ejpam-4662	799	5	(	(	PUNCT
ejpam-4662	799	6	x−	x−	PROPN
ejpam-4662	799	7	1)3	1)3	PROPN
ejpam-4662	799	8	−	−	PROPN
ejpam-4662	799	9	(	(	PUNCT
ejpam-4662	799	10	2π)4	2π)4	NUM
ejpam-4662	799	11	5	5	NUM
ejpam-4662	799	12	!	!	PUNCT
ejpam-4662	799	13	(	(	PUNCT
ejpam-4662	799	14	x−	x−	PROPN
ejpam-4662	799	15	1)5	1)5	NUM
ejpam-4662	799	16	+	+	CCONJ
ejpam-4662	799	17	(	(	PUNCT
ejpam-4662	799	18	2π)6	2π)6	NUM
ejpam-4662	799	19	7	7	NUM
ejpam-4662	799	20	!	!	PUNCT
ejpam-4662	799	21	(	(	PUNCT
ejpam-4662	799	22	x−	x−	PROPN
ejpam-4662	799	23	1)7	1)7	PROPN
ejpam-4662	799	24	+	+	PROPN
ejpam-4662	799	25	o	o	X
ejpam-4662	799	26	(	(	PUNCT
ejpam-4662	799	27	(	(	PUNCT
ejpam-4662	799	28	x−	x−	PROPN
ejpam-4662	799	29	1)9	1)9	NUM
ejpam-4662	799	30	)	)	PUNCT
ejpam-4662	799	31	)	)	PUNCT
ejpam-4662	799	32	)	)	PUNCT
ejpam-4662	800	1	r	r	NOUN
ejpam-4662	800	2	=	=	PUNCT
ejpam-4662	800	3	(	(	PUNCT
ejpam-4662	800	4	1	1	NUM
ejpam-4662	800	5	+	+	CCONJ
ejpam-4662	800	6	(	(	PUNCT
ejpam-4662	800	7	2π)2	2π)2	NUM
ejpam-4662	800	8	6	6	NUM
ejpam-4662	800	9	(	(	PUNCT
ejpam-4662	800	10	x−	x−	PROPN
ejpam-4662	800	11	1)3	1)3	PROPN
ejpam-4662	800	12	−	−	PROPN
ejpam-4662	800	13	(	(	PUNCT
ejpam-4662	800	14	2π)4	2π)4	NUM
ejpam-4662	800	15	5	5	NUM
ejpam-4662	800	16	!	!	PUNCT
ejpam-4662	800	17	(	(	PUNCT
ejpam-4662	800	18	x−	x−	PROPN
ejpam-4662	800	19	1)5	1)5	NUM
ejpam-4662	800	20	+	+	CCONJ
ejpam-4662	800	21	(	(	PUNCT
ejpam-4662	800	22	2π)6	2π)6	NUM
ejpam-4662	800	23	7	7	NUM
ejpam-4662	800	24	!	!	PUNCT
ejpam-4662	800	25	(	(	PUNCT
ejpam-4662	800	26	x−	x−	PROPN
ejpam-4662	800	27	1)7	1)7	PROPN
ejpam-4662	800	28	+	+	PROPN
ejpam-4662	800	29	o	o	X
ejpam-4662	800	30	(	(	PUNCT
ejpam-4662	800	31	(	(	PUNCT
ejpam-4662	800	32	x−	x−	PROPN
ejpam-4662	800	33	1)9	1)9	NUM
ejpam-4662	800	34	)	)	PUNCT
ejpam-4662	800	35	)	)	PUNCT
ejpam-4662	800	36	)	)	PUNCT
ejpam-4662	801	1	r	r	NOUN
ejpam-4662	801	2	.	.	PUNCT
ejpam-4662	802	1	we	we	PRON
ejpam-4662	802	2	set	set	VERB
ejpam-4662	802	3	v	v	NOUN
ejpam-4662	802	4	=	=	PUNCT
ejpam-4662	802	5	(	(	PUNCT
ejpam-4662	802	6	2π)2	2π)2	NUM
ejpam-4662	802	7	6	6	NUM
ejpam-4662	802	8	(	(	PUNCT
ejpam-4662	802	9	x−1)3−	x−1)3−	PROPN
ejpam-4662	802	10	(	(	PUNCT
ejpam-4662	802	11	2π)4	2π)4	NUM
ejpam-4662	802	12	5	5	NUM
ejpam-4662	802	13	!	!	PUNCT
ejpam-4662	803	1	(	(	PUNCT
ejpam-4662	803	2	x−1)5	x−1)5	NOUN
ejpam-4662	803	3	+	+	CCONJ
ejpam-4662	803	4	(	(	PUNCT
ejpam-4662	803	5	2π)6	2π)6	NUM
ejpam-4662	803	6	7	7	NUM
ejpam-4662	803	7	!	!	PUNCT
ejpam-4662	804	1	(	(	PUNCT
ejpam-4662	804	2	x−1)7+o	x−1)7+o	PROPN
ejpam-4662	804	3	(	(	PUNCT
ejpam-4662	804	4	(	(	PUNCT
ejpam-4662	804	5	x−	x−	PROPN
ejpam-4662	804	6	1)9	1)9	NUM
ejpam-4662	804	7	)	)	PUNCT
ejpam-4662	804	8	)	)	PUNCT
ejpam-4662	804	9	and	and	CCONJ
ejpam-4662	804	10	the	the	DET
ejpam-4662	804	11	cdf	cdf	PROPN
ejpam-4662	804	12	becomes	become	VERB
ejpam-4662	804	13	f	f	PROPN
ejpam-4662	804	14	(	(	PUNCT
ejpam-4662	804	15	x	x	NOUN
ejpam-4662	804	16	)	)	PUNCT
ejpam-4662	804	17	=	=	SYM
ejpam-4662	805	1	(	(	PUNCT
ejpam-4662	805	2	1	1	NUM
ejpam-4662	805	3	+	+	CCONJ
ejpam-4662	805	4	v)r	v)r	NOUN
ejpam-4662	805	5	=	=	SYM
ejpam-4662	805	6	1	1	NUM
ejpam-4662	805	7	+	+	NUM
ejpam-4662	805	8	rv	rv	NOUN
ejpam-4662	805	9	+	+	CCONJ
ejpam-4662	805	10	r(r	r(r	PROPN
ejpam-4662	805	11	−	−	PROPN
ejpam-4662	805	12	1	1	NUM
ejpam-4662	805	13	)	)	PUNCT
ejpam-4662	805	14	2	2	NUM
ejpam-4662	805	15	v2	v2	NOUN
ejpam-4662	805	16	+	+	NOUN
ejpam-4662	805	17	o(v3	o(v3	NOUN
ejpam-4662	805	18	)	)	PUNCT
ejpam-4662	805	19	s.	s.	PROPN
ejpam-4662	805	20	dembele	dembele	PROPN
ejpam-4662	805	21	et	et	PROPN
ejpam-4662	805	22	al	al	PROPN
ejpam-4662	805	23	.	.	PUNCT
ejpam-4662	805	24	/	/	SYM
ejpam-4662	805	25	eur	eur	PROPN
ejpam-4662	805	26	.	.	PUNCT
ejpam-4662	806	1	j.	j.	PROPN
ejpam-4662	806	2	pure	pure	PROPN
ejpam-4662	806	3	appl	appl	PROPN
ejpam-4662	806	4	.	.	PROPN
ejpam-4662	806	5	math	math	PROPN
ejpam-4662	806	6	,	,	PUNCT
ejpam-4662	806	7	16	16	NUM
ejpam-4662	806	8	(	(	PUNCT
ejpam-4662	806	9	1	1	NUM
ejpam-4662	806	10	)	)	PUNCT
ejpam-4662	806	11	(	(	PUNCT
ejpam-4662	806	12	2023	2023	NUM
ejpam-4662	806	13	)	)	PUNCT
ejpam-4662	806	14	,	,	PUNCT
ejpam-4662	806	15	609	609	NUM
ejpam-4662	806	16	-	-	SYM
ejpam-4662	806	17	656	656	NUM
ejpam-4662	806	18	650	650	NUM
ejpam-4662	806	19	=	=	SYM
ejpam-4662	806	20	1	1	NUM
ejpam-4662	806	21	+	+	CCONJ
ejpam-4662	806	22	(	(	PUNCT
ejpam-4662	806	23	2π)2	2π)2	NUM
ejpam-4662	806	24	6r	6r	NUM
ejpam-4662	806	25	(	(	PUNCT
ejpam-4662	806	26	x−	x−	PROPN
ejpam-4662	806	27	1)3	1)3	PROPN
ejpam-4662	806	28	−	−	PROPN
ejpam-4662	806	29	(	(	PUNCT
ejpam-4662	806	30	2π)4	2π)4	NUM
ejpam-4662	806	31	120r	120r	NUM
ejpam-4662	806	32	(	(	PUNCT
ejpam-4662	806	33	x−	x−	PROPN
ejpam-4662	806	34	1)5	1)5	PROPN
ejpam-4662	807	1	+	+	CCONJ
ejpam-4662	807	2	r(r	r(r	NOUN
ejpam-4662	807	3	−	−	PROPN
ejpam-4662	807	4	1	1	NUM
ejpam-4662	807	5	)	)	SYM
ejpam-4662	807	6	2	2	NUM
ejpam-4662	807	7	(	(	PUNCT
ejpam-4662	807	8	2π)4	2π)4	NUM
ejpam-4662	807	9	36	36	NUM
ejpam-4662	807	10	(	(	PUNCT
ejpam-4662	807	11	x−	x−	PROPN
ejpam-4662	807	12	1)6	1)6	PROPN
ejpam-4662	807	13	+	+	PROPN
ejpam-4662	807	14	o	o	X
ejpam-4662	807	15	(	(	PUNCT
ejpam-4662	807	16	(	(	PUNCT
ejpam-4662	807	17	x−	x−	PROPN
ejpam-4662	807	18	1)7	1)7	NUM
ejpam-4662	807	19	)	)	PUNCT
ejpam-4662	807	20	)	)	PUNCT
ejpam-4662	807	21	.	.	PUNCT
ejpam-4662	808	1	hence	hence	ADV
ejpam-4662	808	2	1−	1−	NUM
ejpam-4662	808	3	f	f	X
ejpam-4662	808	4	(	(	PUNCT
ejpam-4662	808	5	x	x	NOUN
ejpam-4662	808	6	)	)	PUNCT
ejpam-4662	808	7	=	=	SYM
ejpam-4662	808	8	(	(	PUNCT
ejpam-4662	808	9	2π)2	2π)2	NUM
ejpam-4662	808	10	6r	6r	NUM
ejpam-4662	808	11	(	(	PUNCT
ejpam-4662	808	12	1−	1−	NUM
ejpam-4662	808	13	x)3	x)3	NOUN
ejpam-4662	808	14	−	−	PROPN
ejpam-4662	808	15	(	(	PUNCT
ejpam-4662	808	16	2π)4	2π)4	NUM
ejpam-4662	808	17	120r	120r	NUM
ejpam-4662	808	18	(	(	PUNCT
ejpam-4662	808	19	1−	1−	NUM
ejpam-4662	808	20	x)5	x)5	PROPN
ejpam-4662	808	21	−	−	PROPN
ejpam-4662	809	1	r(r	r(r	NOUN
ejpam-4662	809	2	−	−	PROPN
ejpam-4662	809	3	1	1	NUM
ejpam-4662	809	4	)	)	SYM
ejpam-4662	809	5	2	2	NUM
ejpam-4662	809	6	(	(	PUNCT
ejpam-4662	809	7	2π)4	2π)4	NUM
ejpam-4662	809	8	36	36	NUM
ejpam-4662	809	9	(	(	PUNCT
ejpam-4662	809	10	x−	x−	PROPN
ejpam-4662	809	11	1)6	1)6	PROPN
ejpam-4662	810	1	+	+	PROPN
ejpam-4662	810	2	o	o	X
ejpam-4662	810	3	(	(	PUNCT
ejpam-4662	810	4	(	(	PUNCT
ejpam-4662	810	5	x−	x−	PROPN
ejpam-4662	810	6	1)7	1)7	NUM
ejpam-4662	810	7	)	)	PUNCT
ejpam-4662	810	8	)	)	PUNCT
ejpam-4662	811	1	=	=	PUNCT
ejpam-4662	811	2	(	(	PUNCT
ejpam-4662	811	3	2π)2	2π)2	NUM
ejpam-4662	811	4	6r	6r	NUM
ejpam-4662	811	5	(	(	PUNCT
ejpam-4662	811	6	1−	1−	NUM
ejpam-4662	811	7	x)3	x)3	NOUN
ejpam-4662	812	1	−	−	PROPN
ejpam-4662	813	1	(	(	PUNCT
ejpam-4662	813	2	2π)4	2π)4	NUM
ejpam-4662	813	3	120r	120r	NUM
ejpam-4662	813	4	(	(	PUNCT
ejpam-4662	813	5	1−	1−	NUM
ejpam-4662	813	6	x)5	x)5	X
ejpam-4662	814	1	+	+	NOUN
ejpam-4662	814	2	o	o	X
ejpam-4662	814	3	(	(	PUNCT
ejpam-4662	814	4	(	(	PUNCT
ejpam-4662	814	5	x−	x−	PROPN
ejpam-4662	814	6	1)6	1)6	PROPN
ejpam-4662	814	7	)	)	PUNCT
ejpam-4662	815	1	=	=	SYM
ejpam-4662	816	1	αx3	αx3	NOUN
ejpam-4662	816	2	+	+	CCONJ
ejpam-4662	816	3	βx5	βx5	NOUN
ejpam-4662	817	1	+	+	ADJ
ejpam-4662	817	2	o	o	X
ejpam-4662	817	3	(	(	PUNCT
ejpam-4662	817	4	x6	x6	PROPN
ejpam-4662	817	5	)	)	PUNCT
ejpam-4662	817	6	.	.	PUNCT
ejpam-4662	818	1	where	where	SCONJ
ejpam-4662	818	2	α	α	NOUN
ejpam-4662	818	3	=	=	X
ejpam-4662	818	4	(	(	PUNCT
ejpam-4662	818	5	2π)2	2π)2	NUM
ejpam-4662	818	6	6r	6r	NUM
ejpam-4662	818	7	,	,	PUNCT
ejpam-4662	818	8	β	β	X
ejpam-4662	818	9	=	=	SYM
ejpam-4662	818	10	−	−	PROPN
ejpam-4662	818	11	(	(	PUNCT
ejpam-4662	818	12	2π)4	2π)4	NUM
ejpam-4662	818	13	120r	120r	NUM
ejpam-4662	818	14	and	and	CCONJ
ejpam-4662	818	15	x	x	SYM
ejpam-4662	818	16	=	=	SYM
ejpam-4662	818	17	1	1	NUM
ejpam-4662	818	18	−	−	NOUN
ejpam-4662	818	19	x.	x.	NOUN
ejpam-4662	818	20	we	we	PRON
ejpam-4662	818	21	set	set	VERB
ejpam-4662	818	22	u	u	NOUN
ejpam-4662	818	23	=	=	NOUN
ejpam-4662	818	24	1	1	NUM
ejpam-4662	818	25	−	−	PROPN
ejpam-4662	818	26	f	f	PROPN
ejpam-4662	818	27	(	(	PUNCT
ejpam-4662	818	28	x	x	NOUN
ejpam-4662	818	29	)	)	PUNCT
ejpam-4662	818	30	and	and	CCONJ
ejpam-4662	818	31	we	we	PRON
ejpam-4662	818	32	have	have	VERB
ejpam-4662	818	33	the	the	DET
ejpam-4662	818	34	following	follow	VERB
ejpam-4662	818	35	u	u	NOUN
ejpam-4662	818	36	=	=	X
ejpam-4662	818	37	αx3	αx3	PROPN
ejpam-4662	819	1	+	+	CCONJ
ejpam-4662	819	2	βx5	βx5	NOUN
ejpam-4662	820	1	+	+	ADJ
ejpam-4662	820	2	o	o	X
ejpam-4662	820	3	(	(	PUNCT
ejpam-4662	820	4	x6	x6	PROPN
ejpam-4662	820	5	)	)	PUNCT
ejpam-4662	821	1	=	=	SYM
ejpam-4662	821	2	αx3	αx3	NOUN
ejpam-4662	821	3	(	(	PUNCT
ejpam-4662	821	4	1	1	NUM
ejpam-4662	821	5	+	+	NUM
ejpam-4662	821	6	β	β	X
ejpam-4662	821	7	α	α	NOUN
ejpam-4662	821	8	x5	x5	NOUN
ejpam-4662	822	1	+	+	NOUN
ejpam-4662	822	2	o	o	X
ejpam-4662	822	3	(	(	PUNCT
ejpam-4662	822	4	x3	x3	ADJ
ejpam-4662	822	5	)	)	PUNCT
ejpam-4662	822	6	)	)	PUNCT
ejpam-4662	822	7	.	.	PUNCT
ejpam-4662	823	1	by	by	ADP
ejpam-4662	823	2	the	the	DET
ejpam-4662	823	3	same	same	ADJ
ejpam-4662	823	4	method	method	NOUN
ejpam-4662	823	5	used	use	VERB
ejpam-4662	823	6	previously	previously	ADV
ejpam-4662	823	7	,	,	PUNCT
ejpam-4662	823	8	x	x	PUNCT
ejpam-4662	823	9	=	=	SYM
ejpam-4662	823	10	α−1/3u1/3	α−1/3u1/3	PROPN
ejpam-4662	823	11	(	(	PUNCT
ejpam-4662	823	12	1−	1−	NUM
ejpam-4662	823	13	β	β	NUM
ejpam-4662	823	14	3α	3α	NUM
ejpam-4662	823	15	α−1/3u2/3	α−1/3u2/3	PROPN
ejpam-4662	824	1	+	+	PROPN
ejpam-4662	824	2	o	o	X
ejpam-4662	824	3	(	(	PUNCT
ejpam-4662	824	4	u4/9	u4/9	PROPN
ejpam-4662	824	5	)	)	PUNCT
ejpam-4662	824	6	)	)	PUNCT
ejpam-4662	824	7	.	.	PUNCT
ejpam-4662	825	1	that	that	PRON
ejpam-4662	825	2	leads	lead	VERB
ejpam-4662	825	3	to	to	ADP
ejpam-4662	825	4	,	,	PUNCT
ejpam-4662	825	5	1−	1−	NUM
ejpam-4662	826	1	x	x	X
ejpam-4662	826	2	=	=	SYM
ejpam-4662	826	3	α−1/3u1/3	α−1/3u1/3	PROPN
ejpam-4662	826	4	(	(	PUNCT
ejpam-4662	826	5	1−	1−	NUM
ejpam-4662	826	6	β	β	NUM
ejpam-4662	826	7	3α	3α	NUM
ejpam-4662	826	8	α−1/3u2/3	α−1/3u2/3	PROPN
ejpam-4662	827	1	+	+	PROPN
ejpam-4662	827	2	o	o	X
ejpam-4662	827	3	(	(	PUNCT
ejpam-4662	827	4	u4/9	u4/9	PROPN
ejpam-4662	827	5	)	)	PUNCT
ejpam-4662	827	6	)	)	PUNCT
ejpam-4662	827	7	.	.	PUNCT
ejpam-4662	828	1	hence	hence	ADV
ejpam-4662	828	2	uep	uep	VERB
ejpam-4662	828	3	(	(	PUNCT
ejpam-4662	828	4	f	f	NOUN
ejpam-4662	828	5	)	)	PUNCT
ejpam-4662	828	6	−	−	PROPN
ejpam-4662	828	7	f−1	f−1	PROPN
ejpam-4662	828	8	(	(	PUNCT
ejpam-4662	828	9	1−	1−	NUM
ejpam-4662	828	10	u	u	NOUN
ejpam-4662	828	11	)	)	PUNCT
ejpam-4662	828	12	=	=	SYM
ejpam-4662	828	13	α−1/3u1/3	α−1/3u1/3	PROPN
ejpam-4662	828	14	(	(	PUNCT
ejpam-4662	828	15	1−	1−	NUM
ejpam-4662	828	16	β	β	NUM
ejpam-4662	828	17	3α	3α	NUM
ejpam-4662	829	1	α−1/3u2/3	α−1/3u2/3	PROPN
ejpam-4662	830	1	+	+	PROPN
ejpam-4662	830	2	o	o	X
ejpam-4662	830	3	(	(	PUNCT
ejpam-4662	830	4	u4/9	u4/9	PROPN
ejpam-4662	830	5	)	)	PUNCT
ejpam-4662	830	6	)	)	PUNCT
ejpam-4662	830	7	.	.	PUNCT
ejpam-4662	831	1	(	(	PUNCT
ejpam-4662	831	2	62	62	X
ejpam-4662	831	3	)	)	PUNCT
ejpam-4662	831	4	quantile	quantile	NOUN
ejpam-4662	831	5	of	of	ADP
ejpam-4662	831	6	burr	burr	PROPN
ejpam-4662	831	7	xii	xii	NOUN
ejpam-4662	831	8	distribution	distribution	NOUN
ejpam-4662	831	9	of	of	ADP
ejpam-4662	831	10	parameters	parameter	NOUN
ejpam-4662	831	11	c	c	PROPN
ejpam-4662	831	12	>	>	X
ejpam-4662	831	13	0	0	PUNCT
ejpam-4662	832	1	and	and	CCONJ
ejpam-4662	832	2	r	r	X
ejpam-4662	832	3	>	>	X
ejpam-4662	832	4	0	0	NUM
ejpam-4662	832	5	.	.	PUNCT
ejpam-4662	833	1	its	its	PRON
ejpam-4662	833	2	support	support	NOUN
ejpam-4662	833	3	is	be	AUX
ejpam-4662	833	4	v	v	NOUN
ejpam-4662	833	5	=	=	PUNCT
ejpam-4662	833	6	r+	r+	NOUN
ejpam-4662	833	7	and	and	CCONJ
ejpam-4662	833	8	its	its	PRON
ejpam-4662	833	9	cdf	cdf	PROPN
ejpam-4662	833	10	is	be	AUX
ejpam-4662	833	11	1−	1−	NUM
ejpam-4662	833	12	u	u	NOUN
ejpam-4662	833	13	=	=	PROPN
ejpam-4662	833	14	1−	1−	NUM
ejpam-4662	833	15	(	(	PUNCT
ejpam-4662	833	16	1	1	NUM
ejpam-4662	833	17	+	+	NUM
ejpam-4662	833	18	xc	xc	NOUN
ejpam-4662	833	19	)	)	PUNCT
ejpam-4662	834	1	−r	−r	PROPN
ejpam-4662	834	2	,	,	PUNCT
ejpam-4662	834	3	x	x	PUNCT
ejpam-4662	834	4	∈	∈	PROPN
ejpam-4662	834	5	v	v	NOUN
ejpam-4662	834	6	,	,	PUNCT
ejpam-4662	834	7	u	u	NOUN
ejpam-4662	834	8	∈]0	∈]0	ADJ
ejpam-4662	834	9	,	,	PUNCT
ejpam-4662	834	10	1	1	NUM
ejpam-4662	834	11	[	[	NOUN
ejpam-4662	834	12	.	.	PUNCT
ejpam-4662	835	1	(	(	PUNCT
ejpam-4662	835	2	fxii	fxii	NOUN
ejpam-4662	835	3	)	)	PUNCT
ejpam-4662	835	4	s.	s.	PROPN
ejpam-4662	835	5	dembele	dembele	PROPN
ejpam-4662	835	6	et	et	PROPN
ejpam-4662	835	7	al	al	PROPN
ejpam-4662	835	8	.	.	PUNCT
ejpam-4662	835	9	/	/	SYM
ejpam-4662	835	10	eur	eur	PROPN
ejpam-4662	835	11	.	.	PUNCT
ejpam-4662	836	1	j.	j.	PROPN
ejpam-4662	836	2	pure	pure	PROPN
ejpam-4662	836	3	appl	appl	PROPN
ejpam-4662	836	4	.	.	PROPN
ejpam-4662	836	5	math	math	PROPN
ejpam-4662	836	6	,	,	PUNCT
ejpam-4662	836	7	16	16	NUM
ejpam-4662	836	8	(	(	PUNCT
ejpam-4662	836	9	1	1	NUM
ejpam-4662	836	10	)	)	PUNCT
ejpam-4662	836	11	(	(	PUNCT
ejpam-4662	836	12	2023	2023	NUM
ejpam-4662	836	13	)	)	PUNCT
ejpam-4662	836	14	,	,	PUNCT
ejpam-4662	836	15	609	609	NUM
ejpam-4662	836	16	-	-	SYM
ejpam-4662	836	17	656	656	NUM
ejpam-4662	836	18	651	651	NUM
ejpam-4662	836	19	we	we	PRON
ejpam-4662	836	20	have	have	AUX
ejpam-4662	836	21	x	x	X
ejpam-4662	836	22	=	=	SYM
ejpam-4662	836	23	u−1/(rc	u−1/(rc	PROPN
ejpam-4662	836	24	)	)	PUNCT
ejpam-4662	836	25	(	(	PUNCT
ejpam-4662	836	26	1−	1−	NUM
ejpam-4662	836	27	u1	u1	NOUN
ejpam-4662	836	28	/	/	SYM
ejpam-4662	836	29	r	r	NOUN
ejpam-4662	836	30	)	)	PUNCT
ejpam-4662	836	31	1	1	NUM
ejpam-4662	836	32	/	/	SYM
ejpam-4662	836	33	c	c	NOUN
ejpam-4662	836	34	=	=	SYM
ejpam-4662	836	35	u−1/(rc	u−1/(rc	PROPN
ejpam-4662	836	36	)	)	PUNCT
ejpam-4662	837	1	(	(	PUNCT
ejpam-4662	837	2	1−	1−	NUM
ejpam-4662	837	3	1	1	NUM
ejpam-4662	837	4	c	c	NOUN
ejpam-4662	837	5	u1	u1	NOUN
ejpam-4662	837	6	/	/	SYM
ejpam-4662	837	7	r	r	NOUN
ejpam-4662	837	8	+	+	NUM
ejpam-4662	837	9	1−	1−	NUM
ejpam-4662	837	10	c	c	NOUN
ejpam-4662	837	11	2c2	2c2	NUM
ejpam-4662	837	12	u2	u2	NOUN
ejpam-4662	837	13	/	/	SYM
ejpam-4662	837	14	r	r	NOUN
ejpam-4662	837	15	+	+	NOUN
ejpam-4662	837	16	o(u3	o(u3	NOUN
ejpam-4662	837	17	/	/	SYM
ejpam-4662	837	18	r	r	NOUN
ejpam-4662	837	19	)	)	PUNCT
ejpam-4662	837	20	)	)	PUNCT
ejpam-4662	837	21	.	.	PUNCT
ejpam-4662	838	1	finally	finally	ADV
ejpam-4662	838	2	,	,	PUNCT
ejpam-4662	838	3	we	we	PRON
ejpam-4662	838	4	have	have	VERB
ejpam-4662	838	5	f−1(1−	f−1(1−	PROPN
ejpam-4662	838	6	u	u	NOUN
ejpam-4662	838	7	)	)	PUNCT
ejpam-4662	838	8	=	=	SYM
ejpam-4662	838	9	u−1/(rc	u−1/(rc	PROPN
ejpam-4662	838	10	)	)	PUNCT
ejpam-4662	838	11	(	(	PUNCT
ejpam-4662	838	12	1−	1−	NUM
ejpam-4662	838	13	1	1	NUM
ejpam-4662	838	14	c	c	NOUN
ejpam-4662	838	15	u1	u1	NOUN
ejpam-4662	838	16	/	/	SYM
ejpam-4662	838	17	r	r	NOUN
ejpam-4662	838	18	+	+	NUM
ejpam-4662	838	19	1−	1−	NUM
ejpam-4662	838	20	c	c	NOUN
ejpam-4662	838	21	2c2	2c2	NUM
ejpam-4662	838	22	u2	u2	NOUN
ejpam-4662	838	23	/	/	SYM
ejpam-4662	838	24	r	r	NOUN
ejpam-4662	838	25	+	+	NOUN
ejpam-4662	838	26	o(u3	o(u3	NOUN
ejpam-4662	838	27	/	/	SYM
ejpam-4662	838	28	r	r	NOUN
ejpam-4662	838	29	)	)	PUNCT
ejpam-4662	838	30	)	)	PUNCT
ejpam-4662	838	31	.	.	PUNCT
ejpam-4662	839	1	(	(	PUNCT
ejpam-4662	839	2	63	63	NUM
ejpam-4662	839	3	)	)	PUNCT
ejpam-4662	839	4	quantile	quantile	NOUN
ejpam-4662	839	5	of	of	ADP
ejpam-4662	839	6	distribution	distribution	NOUN
ejpam-4662	839	7	(	(	PUNCT
ejpam-4662	839	8	xa	xa	PROPN
ejpam-4662	839	9	)	)	PUNCT
ejpam-4662	839	10	of	of	ADP
ejpam-4662	839	11	parameter	parameter	NOUN
ejpam-4662	840	1	r	r	NOUN
ejpam-4662	840	2	>	>	X
ejpam-4662	840	3	0	0	NUM
ejpam-4662	840	4	.	.	PUNCT
ejpam-4662	841	1	its	its	PRON
ejpam-4662	841	2	support	support	NOUN
ejpam-4662	841	3	is	be	AUX
ejpam-4662	841	4	v	v	NOUN
ejpam-4662	841	5	=	=	PUNCT
ejpam-4662	841	6	r+	r+	NOUN
ejpam-4662	841	7	and	and	CCONJ
ejpam-4662	841	8	its	its	PRON
ejpam-4662	841	9	cdf	cdf	PROPN
ejpam-4662	841	10	is	be	AUX
ejpam-4662	841	11	1−	1−	NUM
ejpam-4662	841	12	u	u	NOUN
ejpam-4662	841	13	=	=	PUNCT
ejpam-4662	841	14	(	(	PUNCT
ejpam-4662	841	15	1−	1−	NUM
ejpam-4662	841	16	e−x2	e−x2	NOUN
ejpam-4662	841	17	)	)	PUNCT
ejpam-4662	841	18	r	r	NOUN
ejpam-4662	841	19	,	,	PUNCT
ejpam-4662	841	20	x	x	PUNCT
ejpam-4662	841	21	∈	∈	PROPN
ejpam-4662	841	22	v	v	NOUN
ejpam-4662	841	23	,	,	PUNCT
ejpam-4662	841	24	u	u	NOUN
ejpam-4662	841	25	∈]0	∈]0	ADJ
ejpam-4662	841	26	,	,	PUNCT
ejpam-4662	841	27	1	1	NUM
ejpam-4662	841	28	[	[	NOUN
ejpam-4662	841	29	.	.	PUNCT
ejpam-4662	842	1	(	(	PUNCT
ejpam-4662	842	2	fx	fx	NOUN
ejpam-4662	842	3	)	)	PUNCT
ejpam-4662	842	4	we	we	PRON
ejpam-4662	842	5	have	have	VERB
ejpam-4662	842	6	x2	x2	NOUN
ejpam-4662	842	7	=	=	PUNCT
ejpam-4662	843	1	−	−	PROPN
ejpam-4662	843	2	log	log	NOUN
ejpam-4662	843	3	(	(	PUNCT
ejpam-4662	843	4	1−	1−	NUM
ejpam-4662	843	5	(	(	PUNCT
ejpam-4662	843	6	1−	1−	NUM
ejpam-4662	843	7	u)−1	u)−1	NOUN
ejpam-4662	843	8	/	/	SYM
ejpam-4662	843	9	r	r	NOUN
ejpam-4662	843	10	)	)	PUNCT
ejpam-4662	843	11	by	by	ADP
ejpam-4662	843	12	using	use	VERB
ejpam-4662	843	13	the	the	DET
ejpam-4662	843	14	computations	computation	NOUN
ejpam-4662	843	15	as	as	SCONJ
ejpam-4662	843	16	defined	define	VERB
ejpam-4662	843	17	in	in	ADP
ejpam-4662	843	18	burr	burr	PROPN
ejpam-4662	843	19	ii	ii	PROPN
ejpam-4662	843	20	’s	’s	PART
ejpam-4662	843	21	case	case	NOUN
ejpam-4662	843	22	,	,	PUNCT
ejpam-4662	843	23	we	we	PRON
ejpam-4662	843	24	get	get	VERB
ejpam-4662	843	25	f−1(1−	f−1(1−	PROPN
ejpam-4662	843	26	u	u	NOUN
ejpam-4662	843	27	)	)	PUNCT
ejpam-4662	843	28	=	=	SYM
ejpam-4662	843	29	(	(	PUNCT
ejpam-4662	843	30	log(1	log(1	NOUN
ejpam-4662	843	31	/	/	SYM
ejpam-4662	843	32	u))1/2	u))1/2	ADJ
ejpam-4662	843	33	(	(	PUNCT
ejpam-4662	843	34	1	1	NUM
ejpam-4662	843	35	+	+	SYM
ejpam-4662	843	36	1−	1−	NUM
ejpam-4662	843	37	r	r	NOUN
ejpam-4662	843	38	4r	4r	NUM
ejpam-4662	843	39	u	u	NOUN
ejpam-4662	843	40	log(1	log(1	NOUN
ejpam-4662	843	41	/	/	SYM
ejpam-4662	843	42	u	u	NOUN
ejpam-4662	843	43	)	)	PUNCT
ejpam-4662	844	1	+	+	NOUN
ejpam-4662	844	2	o	o	X
ejpam-4662	844	3	(	(	PUNCT
ejpam-4662	844	4	u2	u2	PROPN
ejpam-4662	844	5	log(1	log(1	NOUN
ejpam-4662	844	6	/	/	SYM
ejpam-4662	844	7	u	u	NOUN
ejpam-4662	844	8	)	)	PUNCT
ejpam-4662	844	9	)	)	PUNCT
ejpam-4662	844	10	)	)	PUNCT
ejpam-4662	844	11	.	.	PUNCT
ejpam-4662	845	1	(	(	PUNCT
ejpam-4662	845	2	64	64	NUM
ejpam-4662	845	3	)	)	PUNCT
ejpam-4662	845	4	5	5	NUM
ejpam-4662	845	5	.	.	X
ejpam-4662	845	6	conclusion	conclusion	NOUN
ejpam-4662	845	7	appendix	appendix	NOUN
ejpam-4662	845	8	(	(	PUNCT
ejpam-4662	845	9	a1	a1	PROPN
ejpam-4662	845	10	)	)	PUNCT
ejpam-4662	845	11	:	:	PUNCT
ejpam-4662	845	12	applying	apply	VERB
ejpam-4662	845	13	theorem	theorem	NOUN
ejpam-4662	845	14	4	4	NUM
ejpam-4662	845	15	for	for	ADP
ejpam-4662	845	16	burr	burr	NOUN
ejpam-4662	845	17	v	v	PROPN
ejpam-4662	845	18	,	,	PUNCT
ejpam-4662	845	19	vi	vi	PROPN
ejpam-4662	845	20	,	,	PUNCT
ejpam-4662	845	21	x	x	X
ejpam-4662	845	22	and	and	CCONJ
ejpam-4662	845	23	xa	xa	PROPN
ejpam-4662	845	24	.	.	PUNCT
ejpam-4662	846	1	we	we	PRON
ejpam-4662	846	2	compute	compute	VERB
ejpam-4662	846	3	s(u	s(u	PROPN
ejpam-4662	846	4	)	)	PUNCT
ejpam-4662	846	5	=	=	SYM
ejpam-4662	847	1	−u(f−1(1−u))′	−u(f−1(1−u))′	PROPN
ejpam-4662	847	2	for	for	ADP
ejpam-4662	847	3	each	each	PRON
ejpam-4662	847	4	of	of	ADP
ejpam-4662	847	5	these	these	DET
ejpam-4662	847	6	four	four	NUM
ejpam-4662	847	7	cases	case	NOUN
ejpam-4662	847	8	and	and	CCONJ
ejpam-4662	847	9	remark	remark	VERB
ejpam-4662	847	10	that	that	SCONJ
ejpam-4662	847	11	s(u	s(u	PROPN
ejpam-4662	847	12	)	)	PUNCT
ejpam-4662	847	13	→	→	SYM
ejpam-4662	847	14	0	0	PUNCT
ejpam-4662	847	15	as	as	ADP
ejpam-4662	847	16	u	u	NOUN
ejpam-4662	847	17	→	→	SYM
ejpam-4662	847	18	0	0	NUM
ejpam-4662	847	19	and	and	CCONJ
ejpam-4662	847	20	s	s	PROPN
ejpam-4662	847	21	(	(	PUNCT
ejpam-4662	847	22	◦	◦	NOUN
ejpam-4662	847	23	)	)	PUNCT
ejpam-4662	847	24	is	be	AUX
ejpam-4662	847	25	slowly	slowly	ADV
ejpam-4662	847	26	varying	vary	VERB
ejpam-4662	847	27	at	at	ADP
ejpam-4662	847	28	zero	zero	NUM
ejpam-4662	847	29	.	.	PUNCT
ejpam-4662	848	1	we	we	PRON
ejpam-4662	848	2	consider	consider	VERB
ejpam-4662	848	3	the	the	DET
ejpam-4662	848	4	expression	expression	NOUN
ejpam-4662	848	5	of	of	ADP
ejpam-4662	848	6	f	f	PROPN
ejpam-4662	848	7	(	(	PUNCT
ejpam-4662	848	8	◦	◦	NOUN
ejpam-4662	848	9	)	)	PUNCT
ejpam-4662	848	10	and	and	CCONJ
ejpam-4662	848	11	f−1	f−1	PROPN
ejpam-4662	848	12	(	(	PUNCT
ejpam-4662	848	13	◦	◦	NOUN
ejpam-4662	848	14	)	)	PUNCT
ejpam-4662	848	15	for	for	ADP
ejpam-4662	848	16	burr	burr	PROPN
ejpam-4662	848	17	v	v	PROPN
ejpam-4662	848	18	,	,	PUNCT
ejpam-4662	848	19	vi	vi	PROPN
ejpam-4662	848	20	,	,	PUNCT
ejpam-4662	848	21	x	x	PUNCT
ejpam-4662	848	22	and	and	CCONJ
ejpam-4662	848	23	xa	xa	PROPN
ejpam-4662	848	24	in	in	ADP
ejpam-4662	848	25	table	table	NOUN
ejpam-4662	848	26	1	1	NUM
ejpam-4662	848	27	and	and	CCONJ
ejpam-4662	848	28	find	find	VERB
ejpam-4662	848	29	the	the	DET
ejpam-4662	848	30	following	follow	VERB
ejpam-4662	848	31	expressions	expression	NOUN
ejpam-4662	848	32	of	of	ADP
ejpam-4662	848	33	s	s	PROPN
ejpam-4662	848	34	(	(	PUNCT
ejpam-4662	848	35	◦	◦	NOUN
ejpam-4662	848	36	)	)	PUNCT
ejpam-4662	848	37	:	:	PUNCT
ejpam-4662	848	38	(	(	PUNCT
ejpam-4662	848	39	burr	burr	NOUN
ejpam-4662	848	40	v	v	NOUN
ejpam-4662	848	41	)	)	PUNCT
ejpam-4662	848	42	:	:	PUNCT
ejpam-4662	848	43	f−1(1−	f−1(1−	PROPN
ejpam-4662	848	44	u	u	NOUN
ejpam-4662	848	45	)	)	PUNCT
ejpam-4662	848	46	=	=	SYM
ejpam-4662	848	47	arctan	arctan	PROPN
ejpam-4662	848	48	(	(	PUNCT
ejpam-4662	848	49	−	−	PROPN
ejpam-4662	848	50	log	log	NOUN
ejpam-4662	848	51	{	{	PUNCT
ejpam-4662	848	52	(	(	PUNCT
ejpam-4662	848	53	1−	1−	NUM
ejpam-4662	848	54	u)−1	u)−1	NOUN
ejpam-4662	848	55	/	/	SYM
ejpam-4662	848	56	r	r	NOUN
ejpam-4662	848	57	−	−	PROPN
ejpam-4662	848	58	1	1	NUM
ejpam-4662	848	59	k	k	NOUN
ejpam-4662	848	60	}	}	PUNCT
ejpam-4662	848	61	)	)	PUNCT
ejpam-4662	848	62	s.	s.	PROPN
ejpam-4662	848	63	dembele	dembele	PROPN
ejpam-4662	848	64	et	et	PROPN
ejpam-4662	848	65	al	al	PROPN
ejpam-4662	848	66	.	.	PUNCT
ejpam-4662	848	67	/	/	SYM
ejpam-4662	848	68	eur	eur	PROPN
ejpam-4662	848	69	.	.	PUNCT
ejpam-4662	849	1	j.	j.	PROPN
ejpam-4662	849	2	pure	pure	PROPN
ejpam-4662	849	3	appl	appl	PROPN
ejpam-4662	849	4	.	.	PROPN
ejpam-4662	849	5	math	math	PROPN
ejpam-4662	849	6	,	,	PUNCT
ejpam-4662	849	7	16	16	NUM
ejpam-4662	849	8	(	(	PUNCT
ejpam-4662	849	9	1	1	NUM
ejpam-4662	849	10	)	)	PUNCT
ejpam-4662	849	11	(	(	PUNCT
ejpam-4662	849	12	2023	2023	NUM
ejpam-4662	849	13	)	)	PUNCT
ejpam-4662	849	14	,	,	PUNCT
ejpam-4662	849	15	609	609	NUM
ejpam-4662	849	16	-	-	SYM
ejpam-4662	849	17	656	656	NUM
ejpam-4662	849	18	652	652	NUM
ejpam-4662	849	19	s(u	s(u	PROPN
ejpam-4662	849	20	)	)	PUNCT
ejpam-4662	849	21	=	=	PUNCT
ejpam-4662	849	22	(	(	PUNCT
ejpam-4662	849	23	log	log	VERB
ejpam-4662	849	24	r	r	NOUN
ejpam-4662	849	25	/	/	SYM
ejpam-4662	849	26	u)−2	u)−2	PROPN
ejpam-4662	849	27	ε(u)d(u	ε(u)d(u	NOUN
ejpam-4662	849	28	)	)	PUNCT
ejpam-4662	849	29	(	(	PUNCT
ejpam-4662	849	30	1	1	NUM
ejpam-4662	849	31	+	+	CCONJ
ejpam-4662	849	32	log	log	VERB
ejpam-4662	849	33	k+log	k+log	PROPN
ejpam-4662	849	34	d(u	d(u	PROPN
ejpam-4662	849	35	)	)	PUNCT
ejpam-4662	849	36	log	log	VERB
ejpam-4662	849	37	r	r	NOUN
ejpam-4662	849	38	/	/	SYM
ejpam-4662	849	39	u	u	NOUN
ejpam-4662	849	40	)	)	PUNCT
ejpam-4662	849	41	2	2	NUM
ejpam-4662	850	1	+	+	CCONJ
ejpam-4662	850	2	(	(	PUNCT
ejpam-4662	850	3	log	log	VERB
ejpam-4662	850	4	r	r	NOUN
ejpam-4662	850	5	/	/	SYM
ejpam-4662	850	6	u)−2	u)−2	NOUN
ejpam-4662	850	7	,	,	PUNCT
ejpam-4662	850	8	with	with	ADP
ejpam-4662	850	9	ε(u	ε(u	NOUN
ejpam-4662	850	10	)	)	PUNCT
ejpam-4662	850	11	=	=	PUNCT
ejpam-4662	850	12	(	(	PUNCT
ejpam-4662	850	13	1	1	NUM
ejpam-4662	850	14	−	−	PROPN
ejpam-4662	850	15	u)−(r+1)/r	u)−(r+1)/r	PROPN
ejpam-4662	850	16	,	,	PUNCT
ejpam-4662	850	17	d(u	d(u	PROPN
ejpam-4662	850	18	)	)	PUNCT
ejpam-4662	850	19	=	=	SYM
ejpam-4662	850	20	(	(	PUNCT
ejpam-4662	850	21	u	u	NOUN
ejpam-4662	850	22	/	/	SYM
ejpam-4662	850	23	r)/{(1	r)/{(1	NOUN
ejpam-4662	850	24	−	−	NOUN
ejpam-4662	850	25	u)−1	u)−1	NOUN
ejpam-4662	850	26	/	/	SYM
ejpam-4662	850	27	r	r	NOUN
ejpam-4662	850	28	−	−	NOUN
ejpam-4662	850	29	1	1	NUM
ejpam-4662	850	30	}	}	PUNCT
ejpam-4662	850	31	,	,	PUNCT
ejpam-4662	850	32	arctan	arctan	PROPN
ejpam-4662	850	33	(	(	PUNCT
ejpam-4662	850	34	◦	◦	NOUN
ejpam-4662	850	35	)	)	PUNCT
ejpam-4662	850	36	is	be	AUX
ejpam-4662	850	37	the	the	DET
ejpam-4662	850	38	inverse	inverse	ADJ
ejpam-4662	850	39	function	function	NOUN
ejpam-4662	850	40	of	of	ADP
ejpam-4662	850	41	the	the	DET
ejpam-4662	850	42	tangent	tangent	NOUN
ejpam-4662	850	43	function	function	PROPN
ejpam-4662	850	44	tan	tan	PROPN
ejpam-4662	850	45	(	(	PUNCT
ejpam-4662	850	46	◦	◦	NOUN
ejpam-4662	850	47	)	)	PUNCT
ejpam-4662	850	48	(	(	PUNCT
ejpam-4662	850	49	burr	burr	NOUN
ejpam-4662	850	50	v	v	PROPN
ejpam-4662	850	51	i	i	PROPN
ejpam-4662	850	52	)	)	PUNCT
ejpam-4662	850	53	:	:	PUNCT
ejpam-4662	851	1	f−1(1−	f−1(1−	PROPN
ejpam-4662	851	2	u	u	NOUN
ejpam-4662	851	3	)	)	PUNCT
ejpam-4662	851	4	=	=	SYM
ejpam-4662	851	5	arcsinh	arcsinh	NOUN
ejpam-4662	851	6	(	(	PUNCT
ejpam-4662	851	7	−	−	PROPN
ejpam-4662	851	8	log	log	NOUN
ejpam-4662	851	9	(	(	PUNCT
ejpam-4662	851	10	(	(	PUNCT
ejpam-4662	851	11	1−	1−	NUM
ejpam-4662	851	12	u)−1	u)−1	NOUN
ejpam-4662	851	13	/	/	SYM
ejpam-4662	851	14	r	r	NOUN
ejpam-4662	851	15	−	−	PROPN
ejpam-4662	851	16	1	1	NUM
ejpam-4662	851	17	k	k	NOUN
ejpam-4662	851	18	)	)	PUNCT
ejpam-4662	851	19	)	)	PUNCT
ejpam-4662	851	20	s(u	s(u	PROPN
ejpam-4662	851	21	)	)	PUNCT
ejpam-4662	851	22	=	=	PUNCT
ejpam-4662	851	23	(	(	PUNCT
ejpam-4662	851	24	log	log	VERB
ejpam-4662	851	25	r	r	NOUN
ejpam-4662	851	26	/	/	SYM
ejpam-4662	851	27	u)−1	u)−1	ADJ
ejpam-4662	851	28	ε(u)d(u	ε(u)d(u	NOUN
ejpam-4662	851	29	)	)	PUNCT
ejpam-4662	851	30	(	(	PUNCT
ejpam-4662	851	31	1	1	NUM
ejpam-4662	851	32	+	+	CCONJ
ejpam-4662	851	33	(	(	PUNCT
ejpam-4662	851	34	log	log	PROPN
ejpam-4662	851	35	k+log	k+log	PROPN
ejpam-4662	851	36	d(u	d(u	PROPN
ejpam-4662	851	37	)	)	PUNCT
ejpam-4662	851	38	log	log	VERB
ejpam-4662	851	39	r	r	NOUN
ejpam-4662	851	40	/	/	SYM
ejpam-4662	851	41	u	u	NOUN
ejpam-4662	851	42	)	)	PUNCT
ejpam-4662	851	43	2	2	NUM
ejpam-4662	851	44	+	+	CCONJ
ejpam-4662	851	45	(	(	PUNCT
ejpam-4662	851	46	log	log	VERB
ejpam-4662	851	47	r	r	NOUN
ejpam-4662	851	48	/	/	SYM
ejpam-4662	851	49	u)−2	u)−2	NOUN
ejpam-4662	851	50	)	)	PUNCT
ejpam-4662	851	51	1/2	1/2	NUM
ejpam-4662	851	52	,	,	PUNCT
ejpam-4662	851	53	with	with	ADP
ejpam-4662	851	54	ε(u	ε(u	NOUN
ejpam-4662	851	55	)	)	PUNCT
ejpam-4662	851	56	=	=	PUNCT
ejpam-4662	851	57	(	(	PUNCT
ejpam-4662	851	58	1	1	NUM
ejpam-4662	851	59	−	−	PROPN
ejpam-4662	851	60	u)−(r+1)/r	u)−(r+1)/r	PROPN
ejpam-4662	851	61	,	,	PUNCT
ejpam-4662	851	62	d(u	d(u	PROPN
ejpam-4662	851	63	)	)	PUNCT
ejpam-4662	851	64	=	=	SYM
ejpam-4662	851	65	(	(	PUNCT
ejpam-4662	851	66	u	u	NOUN
ejpam-4662	851	67	/	/	SYM
ejpam-4662	851	68	r)/{(1	r)/{(1	NOUN
ejpam-4662	851	69	−	−	NOUN
ejpam-4662	851	70	u)−1	u)−1	NOUN
ejpam-4662	851	71	/	/	SYM
ejpam-4662	851	72	r	r	NOUN
ejpam-4662	851	73	−	−	NOUN
ejpam-4662	851	74	1	1	NUM
ejpam-4662	851	75	}	}	PUNCT
ejpam-4662	851	76	,	,	PUNCT
ejpam-4662	851	77	arcsinh	arcsinh	PROPN
ejpam-4662	851	78	(	(	PUNCT
ejpam-4662	851	79	◦	◦	NOUN
ejpam-4662	851	80	)	)	PUNCT
ejpam-4662	851	81	is	be	AUX
ejpam-4662	851	82	the	the	DET
ejpam-4662	851	83	inverse	inverse	ADJ
ejpam-4662	851	84	function	function	NOUN
ejpam-4662	851	85	of	of	ADP
ejpam-4662	851	86	the	the	DET
ejpam-4662	851	87	hyperbolic	hyperbolic	ADJ
ejpam-4662	851	88	sine	sine	NOUN
ejpam-4662	851	89	function	function	NOUN
ejpam-4662	851	90	sinh	sinh	PROPN
ejpam-4662	851	91	(	(	PUNCT
ejpam-4662	851	92	◦	◦	NOUN
ejpam-4662	851	93	)	)	PUNCT
ejpam-4662	851	94	(	(	PUNCT
ejpam-4662	851	95	burr	burr	NOUN
ejpam-4662	851	96	x	x	NOUN
ejpam-4662	851	97	)	)	PUNCT
ejpam-4662	851	98	:	:	PUNCT
ejpam-4662	851	99	f−1(1−	f−1(1−	PROPN
ejpam-4662	851	100	u	u	NOUN
ejpam-4662	851	101	)	)	PUNCT
ejpam-4662	851	102	=	=	SYM
ejpam-4662	852	1	(	(	PUNCT
ejpam-4662	852	2	−	−	NOUN
ejpam-4662	852	3	log	log	NOUN
ejpam-4662	852	4	(	(	PUNCT
ejpam-4662	852	5	(	(	PUNCT
ejpam-4662	852	6	1−	1−	NUM
ejpam-4662	852	7	u)−1	u)−1	NOUN
ejpam-4662	852	8	/	/	SYM
ejpam-4662	852	9	r	r	NOUN
ejpam-4662	852	10	−	−	NOUN
ejpam-4662	852	11	1	1	NUM
ejpam-4662	852	12	)	)	PUNCT
ejpam-4662	852	13	)	)	PUNCT
ejpam-4662	852	14	1/2	1/2	NUM
ejpam-4662	852	15	s(u	s(u	PROPN
ejpam-4662	852	16	)	)	PUNCT
ejpam-4662	852	17	=	=	SYM
ejpam-4662	852	18	1	1	NUM
ejpam-4662	852	19	2	2	NUM
ejpam-4662	852	20	(	(	PUNCT
ejpam-4662	852	21	log	log	VERB
ejpam-4662	852	22	r	r	PROPN
ejpam-4662	852	23	/	/	SYM
ejpam-4662	852	24	u)−1/2	u)−1/2	PROPN
ejpam-4662	852	25	ε(u)d(u	ε(u)d(u	NOUN
ejpam-4662	852	26	)	)	PUNCT
ejpam-4662	852	27	(	(	PUNCT
ejpam-4662	852	28	1	1	NUM
ejpam-4662	852	29	+	+	CCONJ
ejpam-4662	852	30	log	log	PROPN
ejpam-4662	852	31	d(u	d(u	PROPN
ejpam-4662	852	32	)	)	PUNCT
ejpam-4662	852	33	log	log	VERB
ejpam-4662	852	34	r	r	NOUN
ejpam-4662	852	35	/	/	SYM
ejpam-4662	852	36	u	u	NOUN
ejpam-4662	852	37	)	)	PUNCT
ejpam-4662	852	38	,	,	PUNCT
ejpam-4662	852	39	with	with	ADP
ejpam-4662	852	40	ε(u	ε(u	PROPN
ejpam-4662	852	41	)	)	PUNCT
ejpam-4662	852	42	=	=	PUNCT
ejpam-4662	853	1	(	(	PUNCT
ejpam-4662	853	2	1−	1−	NUM
ejpam-4662	853	3	u)−(r+1)/r	u)−(r+1)/r	PROPN
ejpam-4662	853	4	,	,	PUNCT
ejpam-4662	853	5	d(u	d(u	PROPN
ejpam-4662	853	6	)	)	PUNCT
ejpam-4662	853	7	=	=	SYM
ejpam-4662	853	8	(	(	PUNCT
ejpam-4662	853	9	u	u	NOUN
ejpam-4662	853	10	/	/	SYM
ejpam-4662	853	11	r)/{(1−	r)/{(1−	ADJ
ejpam-4662	853	12	u)−1	u)−1	NOUN
ejpam-4662	853	13	/	/	SYM
ejpam-4662	853	14	r	r	NOUN
ejpam-4662	853	15	−	−	NOUN
ejpam-4662	853	16	1	1	NUM
ejpam-4662	853	17	}	}	PUNCT
ejpam-4662	853	18	.	.	PUNCT
ejpam-4662	854	1	(	(	PUNCT
ejpam-4662	854	2	burr	burr	PROPN
ejpam-4662	854	3	xa	xa	PROPN
ejpam-4662	854	4	)	)	PUNCT
ejpam-4662	854	5	:	:	PUNCT
ejpam-4662	854	6	f−1(1−	f−1(1−	PROPN
ejpam-4662	854	7	u	u	NOUN
ejpam-4662	854	8	)	)	PUNCT
ejpam-4662	854	9	=	=	SYM
ejpam-4662	854	10	(	(	PUNCT
ejpam-4662	854	11	−	−	PROPN
ejpam-4662	854	12	log	log	NOUN
ejpam-4662	854	13	(	(	PUNCT
ejpam-4662	854	14	1−	1−	NUM
ejpam-4662	854	15	(	(	PUNCT
ejpam-4662	854	16	1−	1−	NUM
ejpam-4662	854	17	u)1	u)1	PROPN
ejpam-4662	854	18	/	/	SYM
ejpam-4662	854	19	r	r	NOUN
ejpam-4662	854	20	)	)	PUNCT
ejpam-4662	854	21	)	)	PUNCT
ejpam-4662	854	22	1/2	1/2	NUM
ejpam-4662	854	23	s(u	s(u	PROPN
ejpam-4662	854	24	)	)	PUNCT
ejpam-4662	854	25	=	=	SYM
ejpam-4662	854	26	1	1	NUM
ejpam-4662	854	27	2	2	NUM
ejpam-4662	854	28	(	(	PUNCT
ejpam-4662	854	29	log	log	VERB
ejpam-4662	854	30	r	r	PROPN
ejpam-4662	854	31	/	/	SYM
ejpam-4662	854	32	u)−1/2	u)−1/2	PROPN
ejpam-4662	854	33	ε(u)d(u	ε(u)d(u	NOUN
ejpam-4662	854	34	)	)	PUNCT
ejpam-4662	854	35	(	(	PUNCT
ejpam-4662	854	36	1	1	NUM
ejpam-4662	854	37	+	+	CCONJ
ejpam-4662	854	38	log	log	PROPN
ejpam-4662	854	39	d(u	d(u	PROPN
ejpam-4662	854	40	)	)	PUNCT
ejpam-4662	854	41	log	log	VERB
ejpam-4662	854	42	r	r	NOUN
ejpam-4662	854	43	/	/	SYM
ejpam-4662	854	44	u	u	NOUN
ejpam-4662	854	45	)	)	PUNCT
ejpam-4662	854	46	,	,	PUNCT
ejpam-4662	854	47	with	with	ADP
ejpam-4662	854	48	ε(u	ε(u	PROPN
ejpam-4662	854	49	)	)	PUNCT
ejpam-4662	854	50	=	=	PUNCT
ejpam-4662	854	51	(	(	PUNCT
ejpam-4662	854	52	1−	1−	NUM
ejpam-4662	854	53	u)(1−r)/r	u)(1−r)/r	PROPN
ejpam-4662	854	54	,	,	PUNCT
ejpam-4662	854	55	d(u	d(u	PROPN
ejpam-4662	854	56	)	)	PUNCT
ejpam-4662	854	57	=	=	SYM
ejpam-4662	854	58	(	(	PUNCT
ejpam-4662	854	59	u	u	NOUN
ejpam-4662	854	60	/	/	SYM
ejpam-4662	854	61	r)/{1−	r)/{1−	PROPN
ejpam-4662	854	62	(	(	PUNCT
ejpam-4662	854	63	1−	1−	NUM
ejpam-4662	854	64	u)1	u)1	PROPN
ejpam-4662	854	65	/	/	SYM
ejpam-4662	854	66	r	r	NOUN
ejpam-4662	854	67	}	}	PUNCT
ejpam-4662	854	68	.	.	PUNCT
ejpam-4662	855	1	so	so	ADV
ejpam-4662	855	2	,	,	PUNCT
ejpam-4662	855	3	for	for	ADP
ejpam-4662	855	4	all	all	DET
ejpam-4662	855	5	four	four	NUM
ejpam-4662	855	6	cases	case	NOUN
ejpam-4662	855	7	,	,	PUNCT
ejpam-4662	855	8	we	we	PRON
ejpam-4662	855	9	have	have	VERB
ejpam-4662	855	10	s	s	NOUN
ejpam-4662	855	11	(	(	PUNCT
ejpam-4662	855	12	◦	◦	NOUN
ejpam-4662	855	13	)	)	PUNCT
ejpam-4662	855	14	is	be	AUX
ejpam-4662	855	15	slowly	slowly	ADV
ejpam-4662	855	16	varying	vary	VERB
ejpam-4662	855	17	at	at	ADP
ejpam-4662	855	18	zero	zero	NUM
ejpam-4662	855	19	and	and	CCONJ
ejpam-4662	855	20	hence	hence	ADV
ejpam-4662	855	21	by	by	ADP
ejpam-4662	855	22	representation	representation	NOUN
ejpam-4662	855	23	(	(	PUNCT
ejpam-4662	855	24	7	7	NUM
ejpam-4662	855	25	)	)	PUNCT
ejpam-4662	855	26	in	in	ADP
ejpam-4662	855	27	proposition	proposition	NOUN
ejpam-4662	855	28	2	2	NUM
ejpam-4662	855	29	,	,	PUNCT
ejpam-4662	855	30	we	we	PRON
ejpam-4662	855	31	have	have	VERB
ejpam-4662	855	32	that	that	DET
ejpam-4662	855	33	f	f	PROPN
ejpam-4662	855	34	∈	∈	PROPN
ejpam-4662	855	35	d(g0	d(g0	NOUN
ejpam-4662	855	36	)	)	PUNCT
ejpam-4662	855	37	.	.	PUNCT
ejpam-4662	856	1	also	also	ADV
ejpam-4662	856	2	,	,	PUNCT
ejpam-4662	856	3	s(u	s(u	PROPN
ejpam-4662	856	4	)	)	PUNCT
ejpam-4662	856	5	→	→	SYM
ejpam-4662	856	6	0	0	PUNCT
ejpam-4662	856	7	as	as	ADP
ejpam-4662	856	8	u	u	NOUN
ejpam-4662	856	9	→	→	SYM
ejpam-4662	856	10	0	0	NUM
ejpam-4662	856	11	.	.	PUNCT
ejpam-4662	857	1	now	now	ADV
ejpam-4662	857	2	,	,	PUNCT
ejpam-4662	857	3	we	we	PRON
ejpam-4662	857	4	are	be	AUX
ejpam-4662	857	5	going	go	VERB
ejpam-4662	857	6	to	to	PART
ejpam-4662	857	7	use	use	VERB
ejpam-4662	857	8	theorem	theorem	NOUN
ejpam-4662	857	9	4	4	NUM
ejpam-4662	857	10	to	to	ADP
ejpam-4662	857	11	all	all	DET
ejpam-4662	857	12	four	four	NUM
ejpam-4662	857	13	cases	case	NOUN
ejpam-4662	857	14	.	.	PUNCT
ejpam-4662	858	1	we	we	PRON
ejpam-4662	858	2	give	give	VERB
ejpam-4662	858	3	the	the	DET
ejpam-4662	858	4	details	detail	NOUN
ejpam-4662	858	5	for	for	ADP
ejpam-4662	858	6	one	one	NUM
ejpam-4662	858	7	case	case	NOUN
ejpam-4662	858	8	,	,	PUNCT
ejpam-4662	858	9	the	the	DET
ejpam-4662	858	10	first	first	ADJ
ejpam-4662	858	11	for	for	ADP
ejpam-4662	858	12	example	example	NOUN
ejpam-4662	858	13	(	(	PUNCT
ejpam-4662	858	14	burr	burr	NOUN
ejpam-4662	858	15	v	v	NOUN
ejpam-4662	858	16	)	)	PUNCT
ejpam-4662	858	17	.	.	PUNCT
ejpam-4662	859	1	we	we	PRON
ejpam-4662	859	2	remark	remark	VERB
ejpam-4662	859	3	that	that	SCONJ
ejpam-4662	859	4	ε(u	ε(u	NOUN
ejpam-4662	859	5	)	)	PUNCT
ejpam-4662	859	6	=	=	SYM
ejpam-4662	860	1	1	1	NUM
ejpam-4662	860	2	+	+	CCONJ
ejpam-4662	860	3	o(u	o(u	ADJ
ejpam-4662	860	4	)	)	PUNCT
ejpam-4662	860	5	and	and	CCONJ
ejpam-4662	860	6	d(u	d(u	PROPN
ejpam-4662	860	7	)	)	PUNCT
ejpam-4662	860	8	=	=	SYM
ejpam-4662	861	1	o(u	o(u	ADJ
ejpam-4662	861	2	)	)	PUNCT
ejpam-4662	861	3	.	.	PUNCT
ejpam-4662	862	1	for	for	ADP
ejpam-4662	862	2	s.	s.	PROPN
ejpam-4662	862	3	dembele	dembele	PROPN
ejpam-4662	862	4	et	et	PROPN
ejpam-4662	862	5	al	al	PROPN
ejpam-4662	862	6	.	.	PUNCT
ejpam-4662	862	7	/	/	SYM
ejpam-4662	862	8	eur	eur	PROPN
ejpam-4662	862	9	.	.	PUNCT
ejpam-4662	863	1	j.	j.	PROPN
ejpam-4662	863	2	pure	pure	PROPN
ejpam-4662	863	3	appl	appl	PROPN
ejpam-4662	863	4	.	.	PROPN
ejpam-4662	863	5	math	math	PROPN
ejpam-4662	863	6	,	,	PUNCT
ejpam-4662	863	7	16	16	NUM
ejpam-4662	863	8	(	(	PUNCT
ejpam-4662	863	9	1	1	NUM
ejpam-4662	863	10	)	)	PUNCT
ejpam-4662	863	11	(	(	PUNCT
ejpam-4662	863	12	2023	2023	NUM
ejpam-4662	863	13	)	)	PUNCT
ejpam-4662	863	14	,	,	PUNCT
ejpam-4662	863	15	609	609	NUM
ejpam-4662	863	16	-	-	SYM
ejpam-4662	863	17	656	656	NUM
ejpam-4662	863	18	653	653	NUM
ejpam-4662	863	19	min(vn	min(vn	NOUN
ejpam-4662	863	20	,	,	PUNCT
ejpam-4662	863	21	vn	vn	NOUN
ejpam-4662	863	22	)	)	PUNCT
ejpam-4662	863	23	≤	≤	NUM
ejpam-4662	863	24	u	u	PROPN
ejpam-4662	863	25	≤	≤	X
ejpam-4662	863	26	max(vn	max(vn	NOUN
ejpam-4662	863	27	,	,	PUNCT
ejpam-4662	863	28	vn	vn	PROPN
ejpam-4662	863	29	)	)	PUNCT
ejpam-4662	864	1	,	,	PUNCT
ejpam-4662	864	2	we	we	PRON
ejpam-4662	864	3	have	have	VERB
ejpam-4662	864	4	an	an	DET
ejpam-4662	864	5	=	=	SYM
ejpam-4662	864	6	min(n	min(n	PROPN
ejpam-4662	864	7	,	,	PUNCT
ejpam-4662	864	8	s(n	s(n	PROPN
ejpam-4662	864	9	)	)	PUNCT
ejpam-4662	864	10	)	)	PUNCT
ejpam-4662	864	11	≤	≤	NUM
ejpam-4662	864	12	log(1	log(1	NOUN
ejpam-4662	864	13	/	/	SYM
ejpam-4662	864	14	u	u	NOUN
ejpam-4662	864	15	)	)	PUNCT
ejpam-4662	864	16	≤	≤	NOUN
ejpam-4662	864	17	max(n	max(n	NOUN
ejpam-4662	864	18	,	,	PUNCT
ejpam-4662	864	19	s(n	s(n	NOUN
ejpam-4662	864	20	)	)	PUNCT
ejpam-4662	864	21	)	)	PUNCT
ejpam-4662	864	22	=	=	SYM
ejpam-4662	865	1	bn	bn	X
ejpam-4662	865	2	.	.	PUNCT
ejpam-4662	866	1	so	so	ADV
ejpam-4662	866	2	uniformly	uniformly	ADV
ejpam-4662	866	3	in	in	ADP
ejpam-4662	866	4	(	(	PUNCT
ejpam-4662	866	5	u	u	NOUN
ejpam-4662	866	6	,	,	PUNCT
ejpam-4662	866	7	v	v	NOUN
ejpam-4662	866	8	)	)	PUNCT
ejpam-4662	866	9	∈	∈	PROPN
ejpam-4662	866	10	[	[	X
ejpam-4662	866	11	min(vn	min(vn	X
ejpam-4662	866	12	,	,	PUNCT
ejpam-4662	866	13	vn),max(vn	vn),max(vn	NOUN
ejpam-4662	866	14	,	,	PUNCT
ejpam-4662	866	15	vn	vn	NOUN
ejpam-4662	866	16	)	)	PUNCT
ejpam-4662	866	17	]	]	PUNCT
ejpam-4662	866	18	2	2	X
ejpam-4662	866	19	,	,	PUNCT
ejpam-4662	866	20	we	we	PRON
ejpam-4662	866	21	have	have	VERB
ejpam-4662	866	22	for	for	ADP
ejpam-4662	866	23	any	any	DET
ejpam-4662	866	24	η	η	PROPN
ejpam-4662	866	25	>	>	X
ejpam-4662	866	26	1	1	NUM
ejpam-4662	866	27	ε(u	ε(u	NOUN
ejpam-4662	866	28	)	)	PUNCT
ejpam-4662	866	29	=	=	SYM
ejpam-4662	867	1	1	1	NUM
ejpam-4662	867	2	+	+	NOUN
ejpam-4662	867	3	op(dn(η	op(dn(η	NOUN
ejpam-4662	867	4	)	)	PUNCT
ejpam-4662	867	5	)	)	PUNCT
ejpam-4662	867	6	,	,	PUNCT
ejpam-4662	867	7	d(u	d(u	PROPN
ejpam-4662	867	8	)	)	PUNCT
ejpam-4662	867	9	=	=	SYM
ejpam-4662	867	10	op(dn(η	op(dn(η	NOUN
ejpam-4662	867	11	)	)	PUNCT
ejpam-4662	867	12	)	)	PUNCT
ejpam-4662	867	13	,	,	PUNCT
ejpam-4662	867	14	log	log	VERB
ejpam-4662	867	15	u	u	NOUN
ejpam-4662	867	16	=	=	NOUN
ejpam-4662	867	17	op(n	op(n	PROPN
ejpam-4662	867	18	)	)	PUNCT
ejpam-4662	867	19	,	,	PUNCT
ejpam-4662	867	20	which	which	PRON
ejpam-4662	867	21	leads	lead	VERB
ejpam-4662	867	22	to	to	ADP
ejpam-4662	867	23	s(u	s(u	PROPN
ejpam-4662	867	24	)	)	PUNCT
ejpam-4662	867	25	s(v	s(v	PROPN
ejpam-4662	867	26	)	)	PUNCT
ejpam-4662	868	1	=	=	PRON
ejpam-4662	868	2	(	(	PUNCT
ejpam-4662	868	3	log(1	log(1	NOUN
ejpam-4662	868	4	/	/	SYM
ejpam-4662	868	5	u	u	NOUN
ejpam-4662	868	6	)	)	PUNCT
ejpam-4662	869	1	+	+	CCONJ
ejpam-4662	869	2	log	log	NOUN
ejpam-4662	869	3	r	r	NOUN
ejpam-4662	869	4	log(1	log(1	NOUN
ejpam-4662	869	5	/	/	SYM
ejpam-4662	869	6	v	v	NOUN
ejpam-4662	869	7	)	)	PUNCT
ejpam-4662	870	1	+	+	CCONJ
ejpam-4662	870	2	log	log	NOUN
ejpam-4662	870	3	r	r	NOUN
ejpam-4662	870	4	)	)	PUNCT
ejpam-4662	870	5	−1/2	−1/2	ADJ
ejpam-4662	870	6	(	(	PUNCT
ejpam-4662	870	7	1	1	NUM
ejpam-4662	870	8	+	+	NOUN
ejpam-4662	870	9	op(fn	op(fn	NUM
ejpam-4662	870	10	)	)	PUNCT
ejpam-4662	870	11	)	)	PUNCT
ejpam-4662	870	12	,	,	PUNCT
ejpam-4662	870	13	for	for	ADP
ejpam-4662	870	14	fn	fn	NOUN
ejpam-4662	870	15	=	=	SYM
ejpam-4662	870	16	n−2	n−2	PROPN
ejpam-4662	870	17	,	,	PUNCT
ejpam-4662	870	18	since	since	SCONJ
ejpam-4662	870	19	the	the	DET
ejpam-4662	870	20	rates	rate	NOUN
ejpam-4662	870	21	op(n	op(n	NOUN
ejpam-4662	870	22	−1/2	−1/2	ADJ
ejpam-4662	870	23	)	)	PUNCT
ejpam-4662	870	24	are	be	AUX
ejpam-4662	870	25	much	much	ADV
ejpam-4662	870	26	lower	low	ADJ
ejpam-4662	870	27	that	that	SCONJ
ejpam-4662	870	28	those	those	PRON
ejpam-4662	870	29	of	of	ADP
ejpam-4662	870	30	op(dn(η	op(dn(η	NUM
ejpam-4662	870	31	)	)	PUNCT
ejpam-4662	870	32	)	)	PUNCT
ejpam-4662	870	33	.	.	PUNCT
ejpam-4662	871	1	since	since	SCONJ
ejpam-4662	871	2	an	an	DET
ejpam-4662	871	3	=	=	SYM
ejpam-4662	871	4	min(n	min(n	PROPN
ejpam-4662	871	5	,	,	PUNCT
ejpam-4662	871	6	s(n	s(n	PROPN
ejpam-4662	871	7	)	)	PUNCT
ejpam-4662	871	8	)	)	PUNCT
ejpam-4662	871	9	≤	≤	NUM
ejpam-4662	871	10	log(1	log(1	NOUN
ejpam-4662	871	11	/	/	SYM
ejpam-4662	871	12	u	u	NOUN
ejpam-4662	871	13	)	)	PUNCT
ejpam-4662	871	14	,	,	PUNCT
ejpam-4662	871	15	log(1	log(1	NOUN
ejpam-4662	871	16	/	/	SYM
ejpam-4662	871	17	v	v	NOUN
ejpam-4662	871	18	)	)	PUNCT
ejpam-4662	871	19	≤	≤	NOUN
ejpam-4662	871	20	max(n	max(n	NOUN
ejpam-4662	871	21	,	,	PUNCT
ejpam-4662	871	22	s(n	s(n	NOUN
ejpam-4662	871	23	)	)	PUNCT
ejpam-4662	871	24	)	)	PUNCT
ejpam-4662	871	25	=	=	SYM
ejpam-4662	871	26	bn	bn	X
ejpam-4662	871	27	,	,	PUNCT
ejpam-4662	871	28	we	we	PRON
ejpam-4662	871	29	have	have	VERB
ejpam-4662	871	30	cn	cn	VERB
ejpam-4662	871	31	=	=	SYM
ejpam-4662	871	32	(	(	PUNCT
ejpam-4662	871	33	logan	logan	PROPN
ejpam-4662	871	34	−	−	PROPN
ejpam-4662	871	35	log	log	NOUN
ejpam-4662	871	36	r	r	NOUN
ejpam-4662	871	37	logbn	logbn	NOUN
ejpam-4662	871	38	−	−	NOUN
ejpam-4662	871	39	log	log	NOUN
ejpam-4662	871	40	r	r	NOUN
ejpam-4662	871	41	)	)	PUNCT
ejpam-4662	871	42	−1/2	−1/2	ADJ
ejpam-4662	871	43	≤	≤	NOUN
ejpam-4662	871	44	(	(	PUNCT
ejpam-4662	871	45	log	log	VERB
ejpam-4662	871	46	u−	u−	PROPN
ejpam-4662	871	47	log	log	NOUN
ejpam-4662	871	48	r	r	NOUN
ejpam-4662	871	49	log	log	NOUN
ejpam-4662	871	50	v	v	ADP
ejpam-4662	871	51	−	−	NOUN
ejpam-4662	871	52	log	log	NOUN
ejpam-4662	871	53	r	r	NOUN
ejpam-4662	871	54	)	)	PUNCT
ejpam-4662	871	55	−1/2	−1/2	ADJ
ejpam-4662	871	56	≤	≤	NOUN
ejpam-4662	871	57	(	(	PUNCT
ejpam-4662	871	58	logbn	logbn	NOUN
ejpam-4662	871	59	−	−	PROPN
ejpam-4662	871	60	log	log	NOUN
ejpam-4662	871	61	r	r	NOUN
ejpam-4662	871	62	logan	logan	PROPN
ejpam-4662	872	1	−	−	PROPN
ejpam-4662	872	2	log	log	NOUN
ejpam-4662	872	3	r	r	NOUN
ejpam-4662	872	4	)	)	PUNCT
ejpam-4662	872	5	−1/2	−1/2	ADJ
ejpam-4662	872	6	=	=	INTJ
ejpam-4662	872	7	dn	dn	NOUN
ejpam-4662	872	8	.	.	PUNCT
ejpam-4662	873	1	it	it	PRON
ejpam-4662	873	2	straightforward	straightforward	ADJ
ejpam-4662	873	3	to	to	PART
ejpam-4662	873	4	show	show	VERB
ejpam-4662	873	5	that	that	SCONJ
ejpam-4662	873	6	(	(	PUNCT
ejpam-4662	873	7	cn−1	cn−1	NOUN
ejpam-4662	873	8	)	)	PUNCT
ejpam-4662	873	9	and	and	CCONJ
ejpam-4662	873	10	(	(	PUNCT
ejpam-4662	873	11	dn−1	dn−1	NOUN
ejpam-4662	873	12	)	)	PUNCT
ejpam-4662	873	13	are	be	AUX
ejpam-4662	873	14	both	both	PRON
ejpam-4662	873	15	op(n	op(n	ADV
ejpam-4662	873	16	−1/2	−1/2	ADJ
ejpam-4662	873	17	)	)	PUNCT
ejpam-4662	873	18	.	.	PUNCT
ejpam-4662	874	1	so	so	ADV
ejpam-4662	874	2	the	the	DET
ejpam-4662	874	3	condition	condition	NOUN
ejpam-4662	874	4	of	of	ADP
ejpam-4662	874	5	theorem	theorem	ADJ
ejpam-4662	874	6	4	4	NUM
ejpam-4662	874	7	holds	hold	VERB
ejpam-4662	874	8	with	with	ADP
ejpam-4662	874	9	dn	dn	NOUN
ejpam-4662	874	10	=	=	PUNCT
ejpam-4662	874	11	n−1/2	n−1/2	PROPN
ejpam-4662	874	12	.	.	PUNCT
ejpam-4662	875	1	by	by	ADP
ejpam-4662	875	2	handling	handle	VERB
ejpam-4662	875	3	the	the	DET
ejpam-4662	875	4	rates	rate	NOUN
ejpam-4662	875	5	appropriately	appropriately	ADV
ejpam-4662	875	6	,	,	PUNCT
ejpam-4662	875	7	we	we	PRON
ejpam-4662	875	8	get	get	VERB
ejpam-4662	875	9	(	(	PUNCT
ejpam-4662	875	10	we	we	PRON
ejpam-4662	875	11	recall	recall	VERB
ejpam-4662	875	12	that	that	PRON
ejpam-4662	875	13	cn	cn	PROPN
ejpam-4662	876	1	=	=	PUNCT
ejpam-4662	876	2	(	(	PUNCT
ejpam-4662	876	3	log	log	NOUN
ejpam-4662	876	4	n)/	n)/	PROPN
ejpam-4662	876	5	√	√	PROPN
ejpam-4662	876	6	n	n	CCONJ
ejpam-4662	876	7	,	,	PUNCT
ejpam-4662	876	8	n	n	PRON
ejpam-4662	876	9	≥	≥	NOUN
ejpam-4662	876	10	1	1	NUM
ejpam-4662	876	11	):	):	PUNCT
ejpam-4662	876	12	(	(	PUNCT
ejpam-4662	876	13	v	v	NOUN
ejpam-4662	876	14	)	)	PUNCT
ejpam-4662	876	15	alternative	alternative	ADJ
ejpam-4662	876	16	form	form	NOUN
ejpam-4662	876	17	of	of	ADP
ejpam-4662	876	18	the	the	DET
ejpam-4662	876	19	asymptotic	asymptotic	ADJ
ejpam-4662	876	20	law	law	NOUN
ejpam-4662	876	21	of	of	ADP
ejpam-4662	876	22	record	record	NOUN
ejpam-4662	876	23	values	value	NOUN
ejpam-4662	876	24	from	from	ADP
ejpam-4662	876	25	burr	burr	PROPN
ejpam-4662	876	26	v.	v.	PROPN
ejpam-4662	876	27	(	(	PUNCT
ejpam-4662	876	28	with	with	ADP
ejpam-4662	876	29	fn	fn	NOUN
ejpam-4662	876	30	=	=	SYM
ejpam-4662	876	31	n−2	n−2	PROPN
ejpam-4662	876	32	,	,	PUNCT
ejpam-4662	876	33	dn	dn	PROPN
ejpam-4662	876	34	=	=	SYM
ejpam-4662	876	35	n−2	n−2	PROPN
ejpam-4662	876	36	)	)	PUNCT
ejpam-4662	876	37	(	(	PUNCT
ejpam-4662	876	38	log	log	NOUN
ejpam-4662	876	39	r	r	NOUN
ejpam-4662	876	40	+	+	NOUN
ejpam-4662	876	41	n)2	n)2	PROPN
ejpam-4662	876	42	(	(	PUNCT
ejpam-4662	876	43	x(n	x(n	PROPN
ejpam-4662	876	44	)	)	PUNCT
ejpam-4662	876	45	−	−	PROPN
ejpam-4662	876	46	arctan	arctan	PROPN
ejpam-4662	876	47	(	(	PUNCT
ejpam-4662	876	48	−	−	PROPN
ejpam-4662	876	49	log	log	NOUN
ejpam-4662	876	50	{	{	PUNCT
ejpam-4662	876	51	(	(	PUNCT
ejpam-4662	876	52	1−e−n)−1	1−e−n)−1	NUM
ejpam-4662	876	53	/	/	SYM
ejpam-4662	876	54	r−1	r−1	PROPN
ejpam-4662	876	55	k	k	PROPN
ejpam-4662	876	56	}	}	PUNCT
ejpam-4662	876	57	)	)	PUNCT
ejpam-4662	876	58	)	)	PUNCT
ejpam-4662	877	1	√	√	PROPN
ejpam-4662	878	1	n	n	NOUN
ejpam-4662	878	2	=	=	PRON
ejpam-4662	878	3	s∗	s∗	PROPN
ejpam-4662	878	4	n	n	PROPN
ejpam-4662	878	5	+	+	NOUN
ejpam-4662	878	6	op(n	op(n	NOUN
ejpam-4662	878	7	−1/2	−1/2	ADJ
ejpam-4662	878	8	)	)	PUNCT
ejpam-4662	879	1	=	=	SYM
ejpam-4662	880	1	w	w	NOUN
ejpam-4662	880	2	∗	∗	NOUN
ejpam-4662	880	3	n	n	X
ejpam-4662	880	4	+	+	NOUN
ejpam-4662	880	5	op(cn	op(cn	NOUN
ejpam-4662	880	6	)	)	PUNCT
ejpam-4662	880	7	→	→	SYM
ejpam-4662	880	8	n	n	CCONJ
ejpam-4662	880	9	(	(	PUNCT
ejpam-4662	880	10	0	0	NUM
ejpam-4662	880	11	,	,	PUNCT
ejpam-4662	880	12	1	1	NUM
ejpam-4662	880	13	)	)	PUNCT
ejpam-4662	880	14	.	.	PUNCT
ejpam-4662	881	1	(	(	PUNCT
ejpam-4662	881	2	valt	valt	NOUN
ejpam-4662	881	3	)	)	PUNCT
ejpam-4662	881	4	by	by	ADP
ejpam-4662	881	5	using	use	VERB
ejpam-4662	881	6	again	again	ADV
ejpam-4662	881	7	the	the	DET
ejpam-4662	881	8	same	same	ADJ
ejpam-4662	881	9	techniques	technique	NOUN
ejpam-4662	881	10	,	,	PUNCT
ejpam-4662	881	11	we	we	PRON
ejpam-4662	881	12	get	get	VERB
ejpam-4662	881	13	the	the	DET
ejpam-4662	881	14	following	follow	VERB
ejpam-4662	881	15	forms	form	NOUN
ejpam-4662	881	16	.	.	PUNCT
ejpam-4662	882	1	(	(	PUNCT
ejpam-4662	882	2	vi	vi	NOUN
ejpam-4662	882	3	)	)	PUNCT
ejpam-4662	882	4	alternative	alternative	ADJ
ejpam-4662	882	5	form	form	NOUN
ejpam-4662	882	6	of	of	ADP
ejpam-4662	882	7	the	the	DET
ejpam-4662	882	8	asymptotic	asymptotic	ADJ
ejpam-4662	882	9	law	law	NOUN
ejpam-4662	882	10	of	of	ADP
ejpam-4662	882	11	record	record	NOUN
ejpam-4662	882	12	values	value	NOUN
ejpam-4662	882	13	from	from	ADP
ejpam-4662	882	14	burr	burr	PROPN
ejpam-4662	882	15	vi	vi	PROPN
ejpam-4662	882	16	.	.	PUNCT
ejpam-4662	883	1	(	(	PUNCT
ejpam-4662	883	2	with	with	ADP
ejpam-4662	883	3	fn	fn	NOUN
ejpam-4662	883	4	=	=	SYM
ejpam-4662	883	5	n−1/2	n−1/2	PROPN
ejpam-4662	883	6	,	,	PUNCT
ejpam-4662	883	7	dn	dn	NOUN
ejpam-4662	883	8	=	=	SYM
ejpam-4662	883	9	n−1/2	n−1/2	PROPN
ejpam-4662	883	10	)	)	PUNCT
ejpam-4662	883	11	(	(	PUNCT
ejpam-4662	883	12	log	log	NOUN
ejpam-4662	883	13	r	r	NOUN
ejpam-4662	883	14	+	+	NOUN
ejpam-4662	883	15	n)2	n)2	PROPN
ejpam-4662	883	16	(	(	PUNCT
ejpam-4662	883	17	x(n	x(n	NOUN
ejpam-4662	883	18	)	)	PUNCT
ejpam-4662	883	19	−	−	NOUN
ejpam-4662	883	20	arcsinh	arcsinh	ADV
ejpam-4662	883	21	(	(	PUNCT
ejpam-4662	883	22	−	−	PROPN
ejpam-4662	883	23	log	log	NOUN
ejpam-4662	883	24	{	{	PUNCT
ejpam-4662	883	25	(	(	PUNCT
ejpam-4662	883	26	1−e−n)−1	1−e−n)−1	NUM
ejpam-4662	883	27	/	/	SYM
ejpam-4662	883	28	r−1	r−1	PROPN
ejpam-4662	883	29	k	k	PROPN
ejpam-4662	883	30	}	}	PUNCT
ejpam-4662	883	31	)	)	PUNCT
ejpam-4662	883	32	)	)	PUNCT
ejpam-4662	884	1	√	√	PROPN
ejpam-4662	885	1	n	n	NOUN
ejpam-4662	885	2	=	=	PRON
ejpam-4662	885	3	s∗	s∗	PROPN
ejpam-4662	885	4	n	n	PROPN
ejpam-4662	885	5	+	+	NOUN
ejpam-4662	885	6	op(n	op(n	NOUN
ejpam-4662	885	7	−1/2	−1/2	ADJ
ejpam-4662	885	8	)	)	PUNCT
ejpam-4662	886	1	=	=	SYM
ejpam-4662	887	1	w	w	NOUN
ejpam-4662	887	2	∗	∗	NOUN
ejpam-4662	887	3	n	n	X
ejpam-4662	887	4	+	+	NOUN
ejpam-4662	887	5	op(cn	op(cn	NOUN
ejpam-4662	887	6	)	)	PUNCT
ejpam-4662	887	7	→	→	SYM
ejpam-4662	887	8	n	n	CCONJ
ejpam-4662	887	9	(	(	PUNCT
ejpam-4662	887	10	0	0	NUM
ejpam-4662	887	11	,	,	PUNCT
ejpam-4662	887	12	1	1	NUM
ejpam-4662	887	13	)	)	PUNCT
ejpam-4662	887	14	.	.	PUNCT
ejpam-4662	888	1	(	(	PUNCT
ejpam-4662	888	2	vialt	vialt	NOUN
ejpam-4662	888	3	)	)	PUNCT
ejpam-4662	888	4	s.	s.	PROPN
ejpam-4662	888	5	dembele	dembele	PROPN
ejpam-4662	888	6	et	et	PROPN
ejpam-4662	888	7	al	al	PROPN
ejpam-4662	888	8	.	.	PUNCT
ejpam-4662	888	9	/	/	SYM
ejpam-4662	888	10	eur	eur	PROPN
ejpam-4662	888	11	.	.	PUNCT
ejpam-4662	889	1	j.	j.	PROPN
ejpam-4662	889	2	pure	pure	PROPN
ejpam-4662	889	3	appl	appl	PROPN
ejpam-4662	889	4	.	.	PROPN
ejpam-4662	889	5	math	math	PROPN
ejpam-4662	889	6	,	,	PUNCT
ejpam-4662	889	7	16	16	NUM
ejpam-4662	889	8	(	(	PUNCT
ejpam-4662	889	9	1	1	NUM
ejpam-4662	889	10	)	)	PUNCT
ejpam-4662	889	11	(	(	PUNCT
ejpam-4662	889	12	2023	2023	NUM
ejpam-4662	889	13	)	)	PUNCT
ejpam-4662	889	14	,	,	PUNCT
ejpam-4662	889	15	609	609	NUM
ejpam-4662	889	16	-	-	SYM
ejpam-4662	889	17	656	656	NUM
ejpam-4662	889	18	654	654	NUM
ejpam-4662	889	19	(	(	PUNCT
ejpam-4662	889	20	x	x	X
ejpam-4662	889	21	)	)	PUNCT
ejpam-4662	889	22	alternative	alternative	ADJ
ejpam-4662	889	23	form	form	NOUN
ejpam-4662	889	24	of	of	ADP
ejpam-4662	889	25	the	the	DET
ejpam-4662	889	26	asymptotic	asymptotic	ADJ
ejpam-4662	889	27	law	law	NOUN
ejpam-4662	889	28	of	of	ADP
ejpam-4662	889	29	record	record	NOUN
ejpam-4662	889	30	values	value	NOUN
ejpam-4662	889	31	from	from	ADP
ejpam-4662	889	32	burr	burr	PROPN
ejpam-4662	889	33	x.	x.	PROPN
ejpam-4662	889	34	(	(	PUNCT
ejpam-4662	889	35	with	with	ADP
ejpam-4662	889	36	fn	fn	NOUN
ejpam-4662	889	37	=	=	SYM
ejpam-4662	889	38	n−1	n−1	PROPN
ejpam-4662	889	39	,	,	PUNCT
ejpam-4662	889	40	dn	dn	NOUN
ejpam-4662	889	41	=	=	PUNCT
ejpam-4662	889	42	n−1/2	n−1/2	PROPN
ejpam-4662	889	43	)	)	PUNCT
ejpam-4662	889	44	(	(	PUNCT
ejpam-4662	889	45	log	log	NOUN
ejpam-4662	889	46	r	r	NOUN
ejpam-4662	889	47	+	+	NOUN
ejpam-4662	889	48	n)2	n)2	PROPN
ejpam-4662	889	49	(	(	PUNCT
ejpam-4662	889	50	x(n)−	x(n)−	PROPN
ejpam-4662	889	51	(	(	PUNCT
ejpam-4662	889	52	−	−	PROPN
ejpam-4662	889	53	log	log	NOUN
ejpam-4662	889	54	(	(	PUNCT
ejpam-4662	889	55	(	(	PUNCT
ejpam-4662	889	56	1−	1−	NUM
ejpam-4662	889	57	e−n)−1	e−n)−1	NOUN
ejpam-4662	889	58	/	/	SYM
ejpam-4662	889	59	r	r	NOUN
ejpam-4662	889	60	−	−	NOUN
ejpam-4662	889	61	1	1	NUM
ejpam-4662	889	62	)	)	PUNCT
ejpam-4662	889	63	)	)	PUNCT
ejpam-4662	889	64	1/2	1/2	NUM
ejpam-4662	889	65	)	)	PUNCT
ejpam-4662	889	66	√	√	PROPN
ejpam-4662	890	1	n	n	NOUN
ejpam-4662	890	2	=	=	PRON
ejpam-4662	890	3	s∗	s∗	PROPN
ejpam-4662	890	4	n	n	PROPN
ejpam-4662	890	5	+	+	NOUN
ejpam-4662	890	6	op(n	op(n	NOUN
ejpam-4662	890	7	−1/2	−1/2	ADJ
ejpam-4662	890	8	)	)	PUNCT
ejpam-4662	891	1	=	=	SYM
ejpam-4662	892	1	w	w	NOUN
ejpam-4662	892	2	∗	∗	NOUN
ejpam-4662	892	3	n	n	X
ejpam-4662	892	4	+	+	NOUN
ejpam-4662	892	5	op(cn	op(cn	NOUN
ejpam-4662	892	6	)	)	PUNCT
ejpam-4662	892	7	→	→	SYM
ejpam-4662	892	8	n	n	CCONJ
ejpam-4662	892	9	(	(	PUNCT
ejpam-4662	892	10	0	0	NUM
ejpam-4662	892	11	,	,	PUNCT
ejpam-4662	892	12	1	1	NUM
ejpam-4662	892	13	)	)	PUNCT
ejpam-4662	892	14	.	.	PUNCT
ejpam-4662	893	1	(	(	PUNCT
ejpam-4662	893	2	xalt	xalt	NUM
ejpam-4662	893	3	)	)	PUNCT
ejpam-4662	893	4	(	(	PUNCT
ejpam-4662	893	5	xa	xa	NOUN
ejpam-4662	893	6	)	)	PUNCT
ejpam-4662	893	7	alternative	alternative	ADJ
ejpam-4662	893	8	form	form	NOUN
ejpam-4662	893	9	of	of	ADP
ejpam-4662	893	10	the	the	DET
ejpam-4662	893	11	asymptotic	asymptotic	ADJ
ejpam-4662	893	12	law	law	NOUN
ejpam-4662	893	13	of	of	ADP
ejpam-4662	893	14	record	record	NOUN
ejpam-4662	893	15	values	value	NOUN
ejpam-4662	893	16	from	from	ADP
ejpam-4662	893	17	burr	burr	PROPN
ejpam-4662	893	18	xa	xa	PROPN
ejpam-4662	893	19	.	.	PUNCT
ejpam-4662	894	1	(	(	PUNCT
ejpam-4662	894	2	with	with	ADP
ejpam-4662	894	3	fn	fn	NOUN
ejpam-4662	894	4	=	=	SYM
ejpam-4662	894	5	n−1/2	n−1/2	PROPN
ejpam-4662	894	6	,	,	PUNCT
ejpam-4662	894	7	dn	dn	NOUN
ejpam-4662	894	8	=	=	SYM
ejpam-4662	894	9	n−1/2	n−1/2	PROPN
ejpam-4662	894	10	)	)	PUNCT
ejpam-4662	894	11	(	(	PUNCT
ejpam-4662	894	12	log	log	NOUN
ejpam-4662	894	13	r	r	NOUN
ejpam-4662	894	14	+	+	NOUN
ejpam-4662	894	15	n)2	n)2	PROPN
ejpam-4662	894	16	(	(	PUNCT
ejpam-4662	894	17	x(n)−	x(n)−	PROPN
ejpam-4662	894	18	(	(	PUNCT
ejpam-4662	894	19	−	−	PROPN
ejpam-4662	894	20	log	log	NOUN
ejpam-4662	894	21	(	(	PUNCT
ejpam-4662	894	22	1−	1−	NUM
ejpam-4662	894	23	(	(	PUNCT
ejpam-4662	894	24	1−	1−	NUM
ejpam-4662	894	25	en)−1	en)−1	NOUN
ejpam-4662	894	26	/	/	SYM
ejpam-4662	894	27	r	r	NOUN
ejpam-4662	894	28	)	)	PUNCT
ejpam-4662	894	29	)	)	PUNCT
ejpam-4662	894	30	1/2	1/2	NUM
ejpam-4662	894	31	)	)	PUNCT
ejpam-4662	894	32	√	√	PROPN
ejpam-4662	894	33	n	n	NOUN
ejpam-4662	894	34	=	=	PRON
ejpam-4662	894	35	s∗	s∗	PROPN
ejpam-4662	894	36	n	n	PROPN
ejpam-4662	894	37	+	+	NOUN
ejpam-4662	894	38	op(n	op(n	NOUN
ejpam-4662	894	39	−1/2	−1/2	ADJ
ejpam-4662	894	40	)	)	PUNCT
ejpam-4662	894	41	=	=	SYM
ejpam-4662	894	42	w	w	NOUN
ejpam-4662	894	43	∗	∗	NOUN
ejpam-4662	894	44	n	n	X
ejpam-4662	894	45	+	+	NOUN
ejpam-4662	894	46	op(cn	op(cn	NOUN
ejpam-4662	894	47	)	)	PUNCT
ejpam-4662	894	48	→	→	SYM
ejpam-4662	894	49	n	n	CCONJ
ejpam-4662	894	50	(	(	PUNCT
ejpam-4662	894	51	0	0	NUM
ejpam-4662	894	52	,	,	PUNCT
ejpam-4662	894	53	1	1	NUM
ejpam-4662	894	54	)	)	PUNCT
ejpam-4662	894	55	.	.	PUNCT
ejpam-4662	895	1	(	(	PUNCT
ejpam-4662	895	2	xaalt	xaalt	NOUN
ejpam-4662	895	3	)	)	PUNCT
ejpam-4662	895	4	conclusions	conclusion	NOUN
ejpam-4662	895	5	and	and	CCONJ
ejpam-4662	895	6	perspective	perspective	NOUN
ejpam-4662	895	7	this	this	DET
ejpam-4662	895	8	paper	paper	NOUN
ejpam-4662	895	9	has	have	VERB
ejpam-4662	895	10	its	its	PRON
ejpam-4662	895	11	own	own	ADJ
ejpam-4662	895	12	interests	interest	NOUN
ejpam-4662	895	13	by	by	ADP
ejpam-4662	895	14	giving	give	VERB
ejpam-4662	895	15	all	all	DET
ejpam-4662	895	16	the	the	DET
ejpam-4662	895	17	asymptotic	asymptotic	ADJ
ejpam-4662	895	18	laws	law	NOUN
ejpam-4662	895	19	of	of	ADP
ejpam-4662	895	20	the	the	DET
ejpam-4662	895	21	upper	upper	ADJ
ejpam-4662	895	22	records	record	NOUN
ejpam-4662	895	23	values	value	NOUN
ejpam-4662	895	24	that	that	PRON
ejpam-4662	895	25	can	can	AUX
ejpam-4662	895	26	be	be	AUX
ejpam-4662	895	27	adapted	adapt	VERB
ejpam-4662	895	28	to	to	PART
ejpam-4662	895	29	give	give	VERB
ejpam-4662	895	30	the	the	DET
ejpam-4662	895	31	corresponding	corresponding	ADJ
ejpam-4662	895	32	results	result	NOUN
ejpam-4662	895	33	for	for	ADP
ejpam-4662	895	34	the	the	DET
ejpam-4662	895	35	lower	low	ADJ
ejpam-4662	895	36	records	record	NOUN
ejpam-4662	895	37	values	value	NOUN
ejpam-4662	895	38	.	.	PUNCT
ejpam-4662	896	1	actually	actually	ADV
ejpam-4662	896	2	,	,	PUNCT
ejpam-4662	896	3	the	the	DET
ejpam-4662	896	4	results	result	NOUN
ejpam-4662	896	5	are	be	AUX
ejpam-4662	896	6	at	at	ADP
ejpam-4662	896	7	intersection	intersection	NOUN
ejpam-4662	896	8	of	of	ADP
ejpam-4662	896	9	three	three	NUM
ejpam-4662	896	10	major	major	ADJ
ejpam-4662	896	11	sub	sub	NOUN
ejpam-4662	896	12	-	-	NOUN
ejpam-4662	896	13	disciplines	discipline	NOUN
ejpam-4662	896	14	of	of	ADP
ejpam-4662	896	15	statistics	statistic	NOUN
ejpam-4662	896	16	(	(	PUNCT
ejpam-4662	896	17	extreme	extreme	ADJ
ejpam-4662	896	18	value	value	NOUN
ejpam-4662	896	19	theory	theory	NOUN
ejpam-4662	896	20	,	,	PUNCT
ejpam-4662	896	21	records	record	VERB
ejpam-4662	896	22	theory	theory	NOUN
ejpam-4662	896	23	and	and	CCONJ
ejpam-4662	896	24	asymptotic	asymptotic	ADJ
ejpam-4662	896	25	expansions	expansion	NOUN
ejpam-4662	896	26	)	)	PUNCT
ejpam-4662	896	27	and	and	CCONJ
ejpam-4662	896	28	the	the	DET
ejpam-4662	896	29	opportunity	opportunity	NOUN
ejpam-4662	896	30	to	to	PART
ejpam-4662	896	31	summarize	summarize	VERB
ejpam-4662	896	32	them	they	PRON
ejpam-4662	896	33	has	have	AUX
ejpam-4662	896	34	been	be	AUX
ejpam-4662	896	35	seized	seize	VERB
ejpam-4662	896	36	.	.	PUNCT
ejpam-4662	897	1	most	most	ADV
ejpam-4662	897	2	importantly	importantly	ADV
ejpam-4662	897	3	,	,	PUNCT
ejpam-4662	897	4	the	the	DET
ejpam-4662	897	5	study	study	NOUN
ejpam-4662	897	6	of	of	ADP
ejpam-4662	897	7	the	the	DET
ejpam-4662	897	8	distributions	distribution	NOUN
ejpam-4662	897	9	of	of	ADP
ejpam-4662	897	10	the	the	DET
ejpam-4662	897	11	so	so	ADV
ejpam-4662	897	12	important	important	ADJ
ejpam-4662	897	13	burr	burr	NOUN
ejpam-4662	897	14	law	law	NOUN
ejpam-4662	897	15	paves	pave	VERB
ejpam-4662	897	16	the	the	DET
ejpam-4662	897	17	way	way	NOUN
ejpam-4662	897	18	of	of	ADP
ejpam-4662	897	19	a	a	DET
ejpam-4662	897	20	handbook	handbook	NOUN
ejpam-4662	897	21	of	of	ADP
ejpam-4662	897	22	similar	similar	ADJ
ejpam-4662	897	23	results	result	NOUN
ejpam-4662	897	24	for	for	ADP
ejpam-4662	897	25	as	as	ADV
ejpam-4662	897	26	much	much	ADJ
ejpam-4662	897	27	as	as	ADP
ejpam-4662	897	28	possible	possible	ADJ
ejpam-4662	897	29	continuous	continuous	ADJ
ejpam-4662	897	30	distributions	distribution	NOUN
ejpam-4662	897	31	.	.	PUNCT
ejpam-4662	898	1	this	this	DET
ejpam-4662	898	2	handbook	handbook	NOUN
ejpam-4662	898	3	already	already	ADV
ejpam-4662	898	4	exists	exist	VERB
ejpam-4662	898	5	as	as	ADP
ejpam-4662	898	6	a	a	DET
ejpam-4662	898	7	draft	draft	NOUN
ejpam-4662	898	8	.	.	PUNCT
ejpam-4662	899	1	the	the	DET
ejpam-4662	899	2	current	current	ADJ
ejpam-4662	899	3	paper	paper	NOUN
ejpam-4662	899	4	will	will	AUX
ejpam-4662	899	5	be	be	AUX
ejpam-4662	899	6	main	main	ADJ
ejpam-4662	899	7	source	source	NOUN
ejpam-4662	899	8	of	of	ADP
ejpam-4662	899	9	citations	citation	NOUN
ejpam-4662	899	10	of	of	ADP
ejpam-4662	899	11	it	it	PRON
ejpam-4662	899	12	.	.	PUNCT
ejpam-4662	900	1	acknowledgements	acknowledgement	NOUN
ejpam-4662	900	2	the	the	DET
ejpam-4662	900	3	authors	author	NOUN
ejpam-4662	900	4	wish	wish	VERB
ejpam-4662	900	5	to	to	PART
ejpam-4662	900	6	express	express	VERB
ejpam-4662	900	7	their	their	PRON
ejpam-4662	900	8	thanks	thank	NOUN
ejpam-4662	900	9	to	to	ADP
ejpam-4662	900	10	the	the	DET
ejpam-4662	900	11	anonymous	anonymous	ADJ
ejpam-4662	900	12	reviewer	reviewer	NOUN
ejpam-4662	900	13	for	for	ADP
ejpam-4662	900	14	his	his	PRON
ejpam-4662	900	15	valable	valable	ADJ
ejpam-4662	900	16	and	and	CCONJ
ejpam-4662	900	17	helpful	helpful	ADJ
ejpam-4662	900	18	comments	comment	NOUN
ejpam-4662	900	19	.	.	PUNCT
ejpam-4662	901	1	they	they	PRON
ejpam-4662	901	2	also	also	ADV
ejpam-4662	901	3	appreciated	appreciate	VERB
ejpam-4662	901	4	the	the	DET
ejpam-4662	901	5	efficient	efficient	ADJ
ejpam-4662	901	6	handling	handling	NOUN
ejpam-4662	901	7	of	of	ADP
ejpam-4662	901	8	the	the	DET
ejpam-4662	901	9	paper	paper	NOUN
ejpam-4662	901	10	by	by	ADP
ejpam-4662	901	11	the	the	DET
ejpam-4662	901	12	editor	editor	NOUN
ejpam-4662	901	13	-	-	PUNCT
ejpam-4662	901	14	in	in	ADP
ejpam-4662	901	15	-	-	PUNCT
ejpam-4662	901	16	chief	chief	NOUN
ejpam-4662	901	17	.	.	PUNCT
ejpam-4662	902	1	n	n	CCONJ
ejpam-4662	902	2	25	25	NUM
ejpam-4662	902	3	50	50	NUM
ejpam-4662	902	4	75	75	NUM
ejpam-4662	902	5	100	100	NUM
ejpam-4662	902	6	150	150	NUM
ejpam-4662	902	7	200	200	NUM
ejpam-4662	902	8	250	250	NUM
ejpam-4662	902	9	300	300	NUM
ejpam-4662	902	10	350	350	NUM
ejpam-4662	902	11	500	500	NUM
ejpam-4662	902	12	1000	1000	NUM
ejpam-4662	902	13	p(3	p(3	NOUN
ejpam-4662	902	14	)	)	PUNCT
ejpam-4662	902	15	0.45	0.45	NUM
ejpam-4662	902	16	0.322	0.322	NUM
ejpam-4662	902	17	0.26	0.26	NUM
ejpam-4662	902	18	0.22	0.22	NUM
ejpam-4662	902	19	0.18	0.18	NUM
ejpam-4662	902	20	0.15	0.15	NUM
ejpam-4662	902	21	0.14	0.14	NUM
ejpam-4662	902	22	0.13	0.13	NUM
ejpam-4662	902	23	0.11	0.11	NUM
ejpam-4662	902	24	0.098	0.098	NUM
ejpam-4662	902	25	0.069	0.069	NUM
ejpam-4662	902	26	table	table	NOUN
ejpam-4662	902	27	2	2	NUM
ejpam-4662	902	28	:	:	PUNCT
ejpam-4662	902	29	probabilities	probability	NOUN
ejpam-4662	902	30	table	table	NOUN
ejpam-4662	902	31	of	of	ADP
ejpam-4662	902	32	having	have	VERB
ejpam-4662	902	33	less	less	ADV
ejpam-4662	902	34	three	three	NUM
ejpam-4662	902	35	records	record	NOUN
ejpam-4662	902	36	in	in	ADP
ejpam-4662	902	37	a	a	DET
ejpam-4662	902	38	sample	sample	NOUN
ejpam-4662	902	39	of	of	ADP
ejpam-4662	902	40	size	size	NOUN
ejpam-4662	902	41	n	n	PROPN
ejpam-4662	902	42	references	reference	NOUN
ejpam-4662	902	43	655	655	NUM
ejpam-4662	902	44	γ	γ	X
ejpam-4662	902	45	>	>	X
ejpam-4662	902	46	0	0	PUNCT
ejpam-4662	903	1	γ	γ	X
ejpam-4662	903	2	<	<	X
ejpam-4662	903	3	0	0	NUM
ejpam-4662	903	4	γ	γ	X
ejpam-4662	903	5	=	=	SYM
ejpam-4662	903	6	0	0	PROPN
ejpam-4662	903	7	burr	burr	PROPN
ejpam-4662	903	8	ii	ii	PROPN
ejpam-4662	903	9	iii	iii	X
ejpam-4662	903	10	i	i	PRON
ejpam-4662	903	11	iv	iv	VERB
ejpam-4662	903	12	v	v	INTJ
ejpam-4662	904	1	i	i	PRON
ejpam-4662	904	2	x	x	PROPN
ejpam-4662	904	3	(	(	PUNCT
ejpam-4662	904	4	parameters	parameter	NOUN
ejpam-4662	904	5	)	)	PUNCT
ejpam-4662	904	6	(	(	PUNCT
ejpam-4662	904	7	r	r	NOUN
ejpam-4662	904	8	=	=	SYM
ejpam-4662	904	9	2	2	NUM
ejpam-4662	904	10	)	)	PUNCT
ejpam-4662	904	11	(	(	PUNCT
ejpam-4662	904	12	r	r	NOUN
ejpam-4662	904	13	=	=	SYM
ejpam-4662	904	14	2	2	NUM
ejpam-4662	904	15	,	,	PUNCT
ejpam-4662	904	16	k	k	NOUN
ejpam-4662	904	17	=	=	SYM
ejpam-4662	904	18	3	3	X
ejpam-4662	904	19	)	)	PUNCT
ejpam-4662	904	20	(	(	PUNCT
ejpam-4662	904	21	r	r	NOUN
ejpam-4662	904	22	=	=	SYM
ejpam-4662	904	23	2	2	NUM
ejpam-4662	904	24	,	,	PUNCT
ejpam-4662	904	25	c	c	NOUN
ejpam-4662	904	26	=	=	SYM
ejpam-4662	904	27	3	3	NUM
ejpam-4662	904	28	)	)	PUNCT
ejpam-4662	904	29	(	(	PUNCT
ejpam-4662	904	30	k	k	NOUN
ejpam-4662	904	31	=	=	SYM
ejpam-4662	904	32	2	2	NUM
ejpam-4662	904	33	,	,	PUNCT
ejpam-4662	904	34	r	r	NOUN
ejpam-4662	904	35	=	=	SYM
ejpam-4662	904	36	3	3	NUM
ejpam-4662	904	37	)	)	PUNCT
ejpam-4662	904	38	(	(	PUNCT
ejpam-4662	904	39	k	k	NOUN
ejpam-4662	904	40	=	=	SYM
ejpam-4662	904	41	2	2	NUM
ejpam-4662	904	42	,	,	PUNCT
ejpam-4662	904	43	r	r	NOUN
ejpam-4662	904	44	=	=	SYM
ejpam-4662	904	45	3	3	NUM
ejpam-4662	904	46	)	)	PUNCT
ejpam-4662	904	47	p0(%	p0(%	NOUN
ejpam-4662	904	48	)	)	PUNCT
ejpam-4662	904	49	3.78	3.78	NUM
ejpam-4662	904	50	3.05	3.05	NUM
ejpam-4662	904	51	2.28	2.28	NUM
ejpam-4662	904	52	14.65	14.65	NUM
ejpam-4662	904	53	3.54	3.54	NUM
ejpam-4662	904	54	1.77	1.77	NUM
ejpam-4662	904	55	table	table	NOUN
ejpam-4662	904	56	3	3	NUM
ejpam-4662	904	57	:	:	PUNCT
ejpam-4662	904	58	empirical	empirical	ADJ
ejpam-4662	904	59	p−value	p−value	NOUN
ejpam-4662	904	60	of	of	ADP
ejpam-4662	904	61	test	test	NOUN
ejpam-4662	904	62	record	record	NOUN
ejpam-4662	904	63	values	value	NOUN
ejpam-4662	904	64	normality	normality	NOUN
ejpam-4662	904	65	(	(	PUNCT
ejpam-4662	904	66	nr	nr	NOUN
ejpam-4662	904	67	=	=	SYM
ejpam-4662	904	68	3	3	NUM
ejpam-4662	904	69	records	record	NOUN
ejpam-4662	904	70	)	)	PUNCT
ejpam-4662	904	71	references	reference	NOUN
ejpam-4662	904	72	[	[	X
ejpam-4662	904	73	1	1	NUM
ejpam-4662	904	74	]	]	PUNCT
ejpam-4662	904	75	m.	m.	NOUN
ejpam-4662	904	76	ahsanullah	ahsanullah	NOUN
ejpam-4662	904	77	.	.	PUNCT
ejpam-4662	905	1	introduction	introduction	NOUN
ejpam-4662	905	2	to	to	ADP
ejpam-4662	905	3	record	record	NOUN
ejpam-4662	905	4	statistics	statistic	NOUN
ejpam-4662	905	5	.	.	PUNCT
ejpam-4662	906	1	ginn	ginn	PROPN
ejpam-4662	906	2	press	press	PROPN
ejpam-4662	906	3	,	,	PUNCT
ejpam-4662	906	4	needham	needham	PROPN
ejpam-4662	906	5	heights	heights	PROPN
ejpam-4662	906	6	,	,	PUNCT
ejpam-4662	906	7	massachusetts	massachusetts	PROPN
ejpam-4662	906	8	.	.	PROPN
ejpam-4662	906	9	,	,	PUNCT
ejpam-4662	906	10	ma	ma	PROPN
ejpam-4662	906	11	,	,	PUNCT
ejpam-4662	906	12	usa	usa	PROPN
ejpam-4662	906	13	,	,	PUNCT
ejpam-4662	906	14	1988	1988	NUM
ejpam-4662	906	15	.	.	PUNCT
ejpam-4662	907	1	[	[	X
ejpam-4662	907	2	2	2	NUM
ejpam-4662	907	3	]	]	PUNCT
ejpam-4662	907	4	m.	m.	NOUN
ejpam-4662	907	5	ahsanullah	ahsanullah	NOUN
ejpam-4662	907	6	.	.	PUNCT
ejpam-4662	908	1	record	record	NOUN
ejpam-4662	908	2	statistics	statistic	NOUN
ejpam-4662	908	3	.	.	PUNCT
ejpam-4662	909	1	nova	nova	PROPN
ejpam-4662	909	2	science	science	PROPN
ejpam-4662	909	3	publishers	publishers	PROPN
ejpam-4662	909	4	inc	inc	PROPN
ejpam-4662	909	5	.	.	PROPN
ejpam-4662	909	6	new	new	PROPN
ejpam-4662	909	7	york	york	PROPN
ejpam-4662	909	8	.	.	PROPN
ejpam-4662	909	9	,	,	PUNCT
ejpam-4662	909	10	ny	ny	PROPN
ejpam-4662	909	11	,	,	PUNCT
ejpam-4662	909	12	usa	usa	PROPN
ejpam-4662	909	13	,	,	PUNCT
ejpam-4662	909	14	1995	1995	NUM
ejpam-4662	909	15	.	.	PUNCT
ejpam-4662	910	1	[	[	X
ejpam-4662	910	2	3	3	X
ejpam-4662	910	3	]	]	PUNCT
ejpam-4662	910	4	m.	m.	NOUN
ejpam-4662	910	5	ahsanullah	ahsanullah	NOUN
ejpam-4662	910	6	.	.	PUNCT
ejpam-4662	911	1	record	record	NOUN
ejpam-4662	911	2	values	value	NOUN
ejpam-4662	911	3	theory	theory	NOUN
ejpam-4662	911	4	and	and	CCONJ
ejpam-4662	911	5	applications	application	NOUN
ejpam-4662	911	6	.	.	PUNCT
ejpam-4662	912	1	university	university	NOUN
ejpam-4662	912	2	press	press	NOUN
ejpam-4662	912	3	of	of	ADP
ejpam-4662	912	4	america	america	PROPN
ejpam-4662	912	5	inc	inc	PROPN
ejpam-4662	912	6	.	.	PROPN
ejpam-4662	912	7	maryland	maryland	PROPN
ejpam-4662	912	8	,	,	PUNCT
ejpam-4662	912	9	m	m	PROPN
ejpam-4662	912	10	,	,	PUNCT
ejpam-4662	912	11	usa	usa	PROPN
ejpam-4662	912	12	,	,	PUNCT
ejpam-4662	912	13	2004	2004	NUM
ejpam-4662	912	14	.	.	PUNCT
ejpam-4662	913	1	[	[	X
ejpam-4662	913	2	4	4	X
ejpam-4662	913	3	]	]	PUNCT
ejpam-4662	913	4	m.	m.	NOUN
ejpam-4662	913	5	ahsanullah	ahsanullah	NOUN
ejpam-4662	913	6	.	.	PUNCT
ejpam-4662	914	1	an	an	DET
ejpam-4662	914	2	introductory	introductory	ADJ
ejpam-4662	914	3	course	course	NOUN
ejpam-4662	914	4	to	to	ADP
ejpam-4662	914	5	records	record	NOUN
ejpam-4662	914	6	.	.	PUNCT
ejpam-4662	915	1	ugb	ugb	PROPN
ejpam-4662	915	2	,	,	PUNCT
ejpam-4662	915	3	saint	saint	NOUN
ejpam-4662	915	4	-	-	PUNCT
ejpam-4662	915	5	louis	louis	NOUN
ejpam-4662	915	6	,	,	PUNCT
ejpam-4662	915	7	senegal	senegal	NOUN
ejpam-4662	915	8	,	,	PUNCT
ejpam-4662	915	9	2015	2015	NUM
ejpam-4662	915	10	.	.	PUNCT
ejpam-4662	916	1	[	[	X
ejpam-4662	916	2	5	5	X
ejpam-4662	916	3	]	]	PUNCT
ejpam-4662	916	4	m.	m.	NOUN
ejpam-4662	916	5	ahsanullah	ahsanullah	PROPN
ejpam-4662	916	6	and	and	CCONJ
ejpam-4662	916	7	v.b	v.b	PROPN
ejpam-4662	916	8	.	.	PROPN
ejpam-4662	916	9	nevzorov	nevzorov	PROPN
ejpam-4662	916	10	.	.	PUNCT
ejpam-4662	916	11	record	record	NOUN
ejpam-4662	916	12	theory	theory	NOUN
ejpam-4662	916	13	via	via	ADP
ejpam-4662	916	14	probability	probability	NOUN
ejpam-4662	916	15	theory	theory	NOUN
ejpam-4662	916	16	.	.	PUNCT
ejpam-4662	917	1	atlantis	atlantis	PROPN
ejpam-4662	917	2	press	press	PROPN
ejpam-4662	917	3	.	.	PUNCT
ejpam-4662	918	1	atlantis	atlantis	PROPN
ejpam-4662	918	2	studies	study	NOUN
ejpam-4662	918	3	in	in	ADP
ejpam-4662	918	4	probability	probability	NOUN
ejpam-4662	918	5	and	and	CCONJ
ejpam-4662	918	6	statistics	statistic	NOUN
ejpam-4662	918	7	.	.	PUNCT
ejpam-4662	918	8	,	,	PUNCT
ejpam-4662	918	9	paris	paris	PROPN
ejpam-4662	918	10	,	,	PUNCT
ejpam-4662	918	11	france	france	PROPN
ejpam-4662	918	12	,	,	PUNCT
ejpam-4662	918	13	2015	2015	NUM
ejpam-4662	918	14	.	.	PUNCT
ejpam-4662	919	1	[	[	X
ejpam-4662	919	2	6	6	NUM
ejpam-4662	919	3	]	]	PUNCT
ejpam-4662	919	4	b.	b.	PROPN
ejpam-4662	919	5	c.	c.	PROPN
ejpam-4662	919	6	arnold	arnold	PROPN
ejpam-4662	919	7	,	,	PUNCT
ejpam-4662	919	8	n.	n.	PROPN
ejpam-4662	919	9	balakrishnan	balakrishnan	PROPN
ejpam-4662	919	10	,	,	PUNCT
ejpam-4662	919	11	and	and	CCONJ
ejpam-4662	919	12	h.	h.	PROPN
ejpam-4662	919	13	n.	n.	PROPN
ejpam-4662	919	14	nagaraja	nagaraja	PROPN
ejpam-4662	919	15	.	.	PUNCT
ejpam-4662	919	16	records	record	NOUN
ejpam-4662	919	17	.	.	PUNCT
ejpam-4662	920	1	john	john	PROPN
ejpam-4662	920	2	wiley	wiley	PROPN
ejpam-4662	920	3	&	&	CCONJ
ejpam-4662	920	4	sons	sons	PROPN
ejpam-4662	920	5	inc	inc	PROPN
ejpam-4662	920	6	.	.	PROPN
ejpam-4662	920	7	new	new	PROPN
ejpam-4662	920	8	york	york	PROPN
ejpam-4662	920	9	.	.	PROPN
ejpam-4662	920	10	,	,	PUNCT
ejpam-4662	920	11	ny	ny	PROPN
ejpam-4662	920	12	,	,	PUNCT
ejpam-4662	920	13	usa	usa	PROPN
ejpam-4662	920	14	,	,	PUNCT
ejpam-4662	920	15	1998	1998	NUM
ejpam-4662	920	16	.	.	PUNCT
ejpam-4662	921	1	[	[	X
ejpam-4662	921	2	7	7	X
ejpam-4662	921	3	]	]	X
ejpam-4662	921	4	i.	i.	PROPN
ejpam-4662	921	5	w.	w.	PROPN
ejpam-4662	921	6	burr	burr	PROPN
ejpam-4662	921	7	.	.	PROPN
ejpam-4662	921	8	cumulative	cumulative	ADJ
ejpam-4662	921	9	frequency	frequency	NOUN
ejpam-4662	921	10	functions	function	NOUN
ejpam-4662	921	11	.	.	PUNCT
ejpam-4662	922	1	annals	annal	NOUN
ejpam-4662	922	2	of	of	ADP
ejpam-4662	922	3	math	math	NOUN
ejpam-4662	922	4	.	.	PUNCT
ejpam-4662	923	1	statist	statist	PROPN
ejpam-4662	923	2	,	,	PUNCT
ejpam-4662	923	3	13(1):215–232	13(1):215–232	PROPN
ejpam-4662	923	4	,	,	PUNCT
ejpam-4662	923	5	1942	1942	NUM
ejpam-4662	923	6	.	.	PUNCT
ejpam-4662	924	1	[	[	X
ejpam-4662	924	2	8	8	NUM
ejpam-4662	924	3	]	]	X
ejpam-4662	924	4	i.	i.	PROPN
ejpam-4662	924	5	w.	w.	PROPN
ejpam-4662	924	6	burr	burr	PROPN
ejpam-4662	924	7	.	.	PUNCT
ejpam-4662	925	1	on	on	ADP
ejpam-4662	925	2	a	a	DET
ejpam-4662	925	3	general	general	ADJ
ejpam-4662	925	4	system	system	NOUN
ejpam-4662	925	5	of	of	ADP
ejpam-4662	925	6	distributions	distribution	NOUN
ejpam-4662	925	7	i.	i.	PROPN
ejpam-4662	925	8	the	the	DET
ejpam-4662	925	9	curveshape	curveshape	NOUN
ejpam-4662	925	10	characteristics	characteristic	NOUN
ejpam-4662	925	11	;	;	PUNCT
ejpam-4662	925	12	ii	ii	X
ejpam-4662	925	13	.	.	PUNCT
ejpam-4662	926	1	the	the	DET
ejpam-4662	926	2	sample	sample	NOUN
ejpam-4662	926	3	median	median	PROPN
ejpam-4662	926	4	.	.	PUNCT
ejpam-4662	927	1	journal	journal	PROPN
ejpam-4662	927	2	of	of	ADP
ejpam-4662	927	3	the	the	DET
ejpam-4662	927	4	american	american	PROPN
ejpam-4662	927	5	statistical	statistical	PROPN
ejpam-4662	927	6	association	association	NOUN
ejpam-4662	927	7	,	,	PUNCT
ejpam-4662	927	8	63(1):627–635	63(1):627–635	PROPN
ejpam-4662	927	9	,	,	PUNCT
ejpam-4662	927	10	1968	1968	NUM
ejpam-4662	927	11	.	.	PUNCT
ejpam-4662	928	1	[	[	X
ejpam-4662	928	2	9	9	NUM
ejpam-4662	928	3	]	]	PUNCT
ejpam-4662	928	4	i.	i.	PROPN
ejpam-4662	928	5	w.	w.	PROPN
ejpam-4662	928	6	burr	burr	PROPN
ejpam-4662	928	7	.	.	PUNCT
ejpam-4662	929	1	parameters	parameter	NOUN
ejpam-4662	929	2	for	for	ADP
ejpam-4662	929	3	a	a	DET
ejpam-4662	929	4	general	general	ADJ
ejpam-4662	929	5	system	system	NOUN
ejpam-4662	929	6	of	of	ADP
ejpam-4662	929	7	distributions	distribution	NOUN
ejpam-4662	929	8	to	to	PART
ejpam-4662	929	9	match	match	VERB
ejpam-4662	929	10	a	a	DET
ejpam-4662	929	11	grid	grid	NOUN
ejpam-4662	929	12	of	of	ADP
ejpam-4662	929	13	a3	a3	NOUN
ejpam-4662	929	14	and	and	CCONJ
ejpam-4662	929	15	a4	a4	NOUN
ejpam-4662	929	16	.	.	PUNCT
ejpam-4662	930	1	communications	communication	NOUN
ejpam-4662	930	2	in	in	ADP
ejpam-4662	930	3	statistics	statistic	NOUN
ejpam-4662	930	4	,	,	PUNCT
ejpam-4662	930	5	2(1):1–21	2(1):1–21	NUM
ejpam-4662	930	6	,	,	PUNCT
ejpam-4662	930	7	1973	1973	NUM
ejpam-4662	930	8	.	.	PUNCT
ejpam-4662	931	1	[	[	X
ejpam-4662	931	2	10	10	NUM
ejpam-4662	931	3	]	]	X
ejpam-4662	931	4	c.	c.	NOUN
ejpam-4662	931	5	dagum	dagum	PROPN
ejpam-4662	931	6	.	.	PUNCT
ejpam-4662	932	1	a	a	DET
ejpam-4662	932	2	new	new	ADJ
ejpam-4662	932	3	model	model	NOUN
ejpam-4662	932	4	of	of	ADP
ejpam-4662	932	5	personal	personal	ADJ
ejpam-4662	932	6	income	income	NOUN
ejpam-4662	932	7	distribution	distribution	NOUN
ejpam-4662	932	8	and	and	CCONJ
ejpam-4662	932	9	estimation	estimation	NOUN
ejpam-4662	932	10	.	.	PUNCT
ejpam-4662	933	1	economie	economie	PROPN
ejpam-4662	933	2	appliquée	appliquée	PROPN
ejpam-4662	933	3	,	,	PUNCT
ejpam-4662	933	4	30(1):413–437	30(1):413–437	NUM
ejpam-4662	933	5	,	,	PUNCT
ejpam-4662	933	6	1977	1977	NUM
ejpam-4662	933	7	.	.	PUNCT
ejpam-4662	934	1	[	[	X
ejpam-4662	934	2	11	11	NUM
ejpam-4662	934	3	]	]	X
ejpam-4662	934	4	l.	l.	PROPN
ejpam-4662	934	5	de	de	PROPN
ejpam-4662	934	6	haan	haan	PROPN
ejpam-4662	934	7	.	.	PUNCT
ejpam-4662	935	1	on	on	ADP
ejpam-4662	935	2	regular	regular	ADJ
ejpam-4662	935	3	variation	variation	NOUN
ejpam-4662	935	4	and	and	CCONJ
ejpam-4662	935	5	its	its	PRON
ejpam-4662	935	6	application	application	NOUN
ejpam-4662	935	7	to	to	ADP
ejpam-4662	935	8	the	the	DET
ejpam-4662	935	9	weak	weak	ADJ
ejpam-4662	935	10	convergence	convergence	NOUN
ejpam-4662	935	11	of	of	ADP
ejpam-4662	935	12	sample	sample	NOUN
ejpam-4662	935	13	extremes	extreme	NOUN
ejpam-4662	935	14	.	.	PUNCT
ejpam-4662	936	1	mathematical	mathematical	ADJ
ejpam-4662	936	2	centre	centre	NOUN
ejpam-4662	936	3	tracts	tract	NOUN
ejpam-4662	936	4	,	,	PUNCT
ejpam-4662	936	5	32	32	NUM
ejpam-4662	936	6	,	,	PUNCT
ejpam-4662	936	7	amsterdam	amsterdam	PROPN
ejpam-4662	936	8	.	.	PUNCT
ejpam-4662	936	9	(	(	PUNCT
ejpam-4662	936	10	mr0286156	mr0286156	PROPN
ejpam-4662	936	11	)	)	PUNCT
ejpam-4662	936	12	.	.	PUNCT
ejpam-4662	937	1	,	,	PUNCT
ejpam-4662	937	2	amsterdam	amsterdam	PROPN
ejpam-4662	937	3	,	,	PUNCT
ejpam-4662	937	4	netherlands	netherlands	PROPN
ejpam-4662	937	5	,	,	PUNCT
ejpam-4662	937	6	1970	1970	NUM
ejpam-4662	937	7	.	.	PUNCT
ejpam-4662	938	1	[	[	X
ejpam-4662	938	2	12	12	NUM
ejpam-4662	938	3	]	]	PUNCT
ejpam-4662	938	4	l.	l.	PROPN
ejpam-4662	938	5	devroye	devroye	PROPN
ejpam-4662	938	6	.	.	PUNCT
ejpam-4662	939	1	non	non	ADJ
ejpam-4662	939	2	-	-	ADJ
ejpam-4662	939	3	uniform	uniform	ADJ
ejpam-4662	939	4	random	random	ADJ
ejpam-4662	939	5	variate	variate	NOUN
ejpam-4662	939	6	generation	generation	NOUN
ejpam-4662	939	7	.	.	PUNCT
ejpam-4662	940	1	springer	springer	NOUN
ejpam-4662	940	2	science+business	science+business	NOUN
ejpam-4662	940	3	media	medium	NOUN
ejpam-4662	940	4	,	,	PUNCT
ejpam-4662	940	5	llc	llc	PROPN
ejpam-4662	940	6	.	.	PROPN
ejpam-4662	940	7	,	,	PUNCT
ejpam-4662	940	8	ny	ny	PROPN
ejpam-4662	940	9	,	,	PUNCT
ejpam-4662	940	10	usa	usa	PROPN
ejpam-4662	940	11	,	,	PUNCT
ejpam-4662	940	12	1986	1986	NUM
ejpam-4662	940	13	.	.	PUNCT
ejpam-4662	941	1	[	[	X
ejpam-4662	941	2	13	13	NUM
ejpam-4662	941	3	]	]	X
ejpam-4662	941	4	j.	j.	PROPN
ejpam-4662	941	5	karamata	karamata	PROPN
ejpam-4662	941	6	.	.	PUNCT
ejpam-4662	942	1	sur	sur	PROPN
ejpam-4662	942	2	un	un	PROPN
ejpam-4662	942	3	mode	mode	PROPN
ejpam-4662	942	4	de	de	PROPN
ejpam-4662	942	5	croissance	croissance	PROPN
ejpam-4662	942	6	régulière	régulière	PROPN
ejpam-4662	942	7	des	des	PROPN
ejpam-4662	942	8	fonctions	fonctions	PROPN
ejpam-4662	942	9	.	.	PUNCT
ejpam-4662	943	1	communications	communication	NOUN
ejpam-4662	943	2	in	in	ADP
ejpam-4662	943	3	statistics	statistic	NOUN
ejpam-4662	943	4	,	,	PUNCT
ejpam-4662	943	5	4(1):38–53	4(1):38–53	NUM
ejpam-4662	943	6	,	,	PUNCT
ejpam-4662	943	7	1930	1930	NUM
ejpam-4662	943	8	.	.	PUNCT
ejpam-4662	944	1	references	reference	NOUN
ejpam-4662	944	2	656	656	NUM
ejpam-4662	944	3	[	[	SYM
ejpam-4662	944	4	14	14	NUM
ejpam-4662	944	5	]	]	X
ejpam-4662	944	6	c.	c.	PROPN
ejpam-4662	944	7	kleiber	kleiber	PROPN
ejpam-4662	944	8	.	.	PUNCT
ejpam-4662	945	1	a	a	DET
ejpam-4662	945	2	guide	guide	NOUN
ejpam-4662	945	3	to	to	ADP
ejpam-4662	945	4	the	the	DET
ejpam-4662	945	5	dagum	dagum	NOUN
ejpam-4662	945	6	distributions	distribution	NOUN
ejpam-4662	945	7	.	.	PUNCT
ejpam-4662	946	1	in	in	ADP
ejpam-4662	946	2	modeling	model	VERB
ejpam-4662	946	3	income	income	NOUN
ejpam-4662	946	4	distributions	distribution	NOUN
ejpam-4662	946	5	and	and	CCONJ
ejpam-4662	946	6	lorenz	lorenz	PROPN
ejpam-4662	946	7	curves	curve	NOUN
ejpam-4662	946	8	.	.	PUNCT
ejpam-4662	947	1	springer	springer	NOUN
ejpam-4662	947	2	,	,	PUNCT
ejpam-4662	947	3	pages	page	NOUN
ejpam-4662	947	4	97–117	97–117	PROPN
ejpam-4662	947	5	,	,	PUNCT
ejpam-4662	947	6	2008	2008	NUM
ejpam-4662	947	7	.	.	PUNCT
ejpam-4662	948	1	[	[	X
ejpam-4662	948	2	15	15	NUM
ejpam-4662	948	3	]	]	X
ejpam-4662	948	4	g.s	g.s	PROPN
ejpam-4662	948	5	.	.	PROPN
ejpam-4662	948	6	lo	lo	PROPN
ejpam-4662	948	7	,	,	PUNCT
ejpam-4662	948	8	m.	m.	NOUN
ejpam-4662	948	9	ahsanullah	ahsanullah	PROPN
ejpam-4662	948	10	,	,	PUNCT
ejpam-4662	948	11	m.	m.	NOUN
ejpam-4662	948	12	diallo	diallo	PROPN
ejpam-4662	948	13	,	,	PUNCT
ejpam-4662	948	14	and	and	CCONJ
ejpam-4662	948	15	m.	m.	NOUN
ejpam-4662	948	16	ngom	ngom	PROPN
ejpam-4662	948	17	.	.	PUNCT
ejpam-4662	949	1	asymptotic	asymptotic	ADJ
ejpam-4662	949	2	laws	law	NOUN
ejpam-4662	949	3	for	for	ADP
ejpam-4662	949	4	upper	upper	ADJ
ejpam-4662	949	5	and	and	CCONJ
ejpam-4662	949	6	strong	strong	ADJ
ejpam-4662	949	7	record	record	NOUN
ejpam-4662	949	8	values	value	NOUN
ejpam-4662	949	9	in	in	ADP
ejpam-4662	949	10	the	the	DET
ejpam-4662	949	11	extreme	extreme	ADJ
ejpam-4662	949	12	domain	domain	NOUN
ejpam-4662	949	13	of	of	ADP
ejpam-4662	949	14	attraction	attraction	NOUN
ejpam-4662	949	15	and	and	CCONJ
ejpam-4662	949	16	beyond	beyond	ADP
ejpam-4662	949	17	.	.	PUNCT
ejpam-4662	950	1	european	european	PROPN
ejpam-4662	950	2	journal	journal	PROPN
ejpam-4662	950	3	of	of	ADP
ejpam-4662	950	4	pure	pure	ADJ
ejpam-4662	950	5	and	and	CCONJ
ejpam-4662	950	6	applied	applied	ADJ
ejpam-4662	950	7	mathematics	mathematic	NOUN
ejpam-4662	950	8	,	,	PUNCT
ejpam-4662	950	9	14(1):19–42	14(1):19–42	NUM
ejpam-4662	950	10	,	,	PUNCT
ejpam-4662	950	11	2021	2021	NUM
ejpam-4662	950	12	.	.	PUNCT
ejpam-4662	951	1	[	[	X
ejpam-4662	951	2	16	16	NUM
ejpam-4662	951	3	]	]	X
ejpam-4662	951	4	g.s	g.s	PROPN
ejpam-4662	951	5	.	.	PROPN
ejpam-4662	951	6	lo	lo	PROPN
ejpam-4662	951	7	,	,	PUNCT
ejpam-4662	951	8	m.	m.	NOUN
ejpam-4662	951	9	ngom	ngom	PROPN
ejpam-4662	951	10	,	,	PUNCT
ejpam-4662	951	11	t.	t.	NOUN
ejpam-4662	951	12	a.	a.	NOUN
ejpam-4662	951	13	kpanzou	kpanzou	PROPN
ejpam-4662	951	14	,	,	PUNCT
ejpam-4662	951	15	and	and	CCONJ
ejpam-4662	951	16	m.	m.	PROPN
ejpam-4662	951	17	diallo	diallo	PROPN
ejpam-4662	951	18	.	.	PUNCT
ejpam-4662	952	1	weak	weak	ADJ
ejpam-4662	952	2	convergence	convergence	NOUN
ejpam-4662	952	3	(	(	PUNCT
ejpam-4662	952	4	iia	iia	NOUN
ejpam-4662	952	5	)	)	PUNCT
ejpam-4662	952	6	functional	functional	ADJ
ejpam-4662	952	7	and	and	CCONJ
ejpam-4662	952	8	random	random	ADJ
ejpam-4662	952	9	aspects	aspect	NOUN
ejpam-4662	952	10	of	of	ADP
ejpam-4662	952	11	the	the	DET
ejpam-4662	952	12	univariate	univariate	ADJ
ejpam-4662	952	13	extreme	extreme	ADJ
ejpam-4662	952	14	value	value	NOUN
ejpam-4662	952	15	theory	theory	NOUN
ejpam-4662	952	16	.	.	PUNCT
ejpam-4662	953	1	arxiv	arxiv	PROPN
ejpam-4662	953	2	,	,	PUNCT
ejpam-4662	953	3	usa	usa	PROPN
ejpam-4662	953	4	,	,	PUNCT
ejpam-4662	953	5	2018	2018	NUM
ejpam-4662	953	6	.	.	PUNCT
ejpam-4662	954	1	[	[	X
ejpam-4662	954	2	17	17	NUM
ejpam-4662	954	3	]	]	X
ejpam-4662	954	4	v.	v.	PROPN
ejpam-4662	954	5	b.	b.	PROPN
ejpam-4662	954	6	nevzorov	nevzorov	PROPN
ejpam-4662	954	7	.	.	PUNCT
ejpam-4662	955	1	records	record	NOUN
ejpam-4662	955	2	:	:	PUNCT
ejpam-4662	955	3	mathematical	mathematical	ADJ
ejpam-4662	955	4	theory	theory	NOUN
ejpam-4662	955	5	.	.	PUNCT
ejpam-4662	956	1	,	,	PUNCT
ejpam-4662	956	2	volume	volume	NOUN
ejpam-4662	956	3	194	194	NUM
ejpam-4662	956	4	.	.	PUNCT
ejpam-4662	957	1	translation	translation	NOUN
ejpam-4662	957	2	of	of	ADP
ejpam-4662	957	3	mathematical	mathematical	ADJ
ejpam-4662	957	4	monographs	monograph	NOUN
ejpam-4662	957	5	,	,	PUNCT
ejpam-4662	957	6	usa	usa	PROPN
ejpam-4662	957	7	,	,	PUNCT
ejpam-4662	957	8	2001	2001	NUM
ejpam-4662	957	9	.	.	PUNCT
ejpam-4662	958	1	[	[	X
ejpam-4662	958	2	18	18	NUM
ejpam-4662	958	3	]	]	X
ejpam-4662	958	4	n.	n.	PROPN
ejpam-4662	958	5	rasheed	rasheed	PROPN
ejpam-4662	958	6	.	.	PUNCT
ejpam-4662	959	1	topp	topp	PROPN
ejpam-4662	959	2	-	-	PUNCT
ejpam-4662	959	3	leone	leone	NOUN
ejpam-4662	959	4	dagum	dagum	NOUN
ejpam-4662	959	5	distribution	distribution	NOUN
ejpam-4662	959	6	:	:	PUNCT
ejpam-4662	959	7	properties	property	NOUN
ejpam-4662	959	8	and	and	CCONJ
ejpam-4662	959	9	its	its	PRON
ejpam-4662	959	10	applications	application	NOUN
ejpam-4662	959	11	.	.	PUNCT
ejpam-4662	960	1	res	re	NOUN
ejpam-4662	960	2	.	.	PUNCT
ejpam-4662	961	1	j.	j.	PROPN
ejpam-4662	961	2	mathematical	mathematical	PROPN
ejpam-4662	961	3	and	and	CCONJ
ejpam-4662	961	4	statistical	statistical	ADJ
ejpam-4662	961	5	sci	sci	PROPN
ejpam-4662	961	6	,	,	PUNCT
ejpam-4662	961	7	8(1):16–30	8(1):16–30	NUM
ejpam-4662	961	8	,	,	PUNCT
ejpam-4662	961	9	2020	2020	NUM
ejpam-4662	961	10	.	.	PUNCT
ejpam-4662	962	1	[	[	X
ejpam-4662	962	2	19	19	NUM
ejpam-4662	962	3	]	]	X
ejpam-4662	962	4	s.i	s.i	PROPN
ejpam-4662	962	5	.	.	PROPN
ejpam-4662	962	6	resnick	resnick	PROPN
ejpam-4662	962	7	.	.	PUNCT
ejpam-4662	963	1	extreme	extreme	ADJ
ejpam-4662	963	2	values	value	NOUN
ejpam-4662	963	3	,	,	PUNCT
ejpam-4662	963	4	regular	regular	ADJ
ejpam-4662	963	5	variation	variation	NOUN
ejpam-4662	963	6	and	and	CCONJ
ejpam-4662	963	7	point	point	NOUN
ejpam-4662	963	8	processes	process	NOUN
ejpam-4662	963	9	.	.	PUNCT
ejpam-4662	964	1	springerverbag	springerverbag	PROPN
ejpam-4662	964	2	,	,	PUNCT
ejpam-4662	964	3	new	new	ADJ
ejpam-4662	964	4	-	-	PUNCT
ejpam-4662	964	5	york	york	PROPN
ejpam-4662	964	6	,	,	PUNCT
ejpam-4662	964	7	ny	ny	PROPN
ejpam-4662	964	8	,	,	PUNCT
ejpam-4662	964	9	usa	usa	PROPN
ejpam-4662	964	10	,	,	PUNCT
ejpam-4662	964	11	1987	1987	NUM
ejpam-4662	964	12	.	.	PUNCT
ejpam-4662	965	1	[	[	X
ejpam-4662	965	2	20	20	NUM
ejpam-4662	965	3	]	]	X
ejpam-4662	965	4	j.	j.	PROPN
ejpam-4662	965	5	segers	segers	PROPN
ejpam-4662	965	6	.	.	PUNCT
ejpam-4662	966	1	generalized	generalize	VERB
ejpam-4662	966	2	pickands	pickand	NOUN
ejpam-4662	966	3	estimators	estimator	NOUN
ejpam-4662	966	4	for	for	ADP
ejpam-4662	966	5	the	the	DET
ejpam-4662	966	6	extreme	extreme	ADJ
ejpam-4662	966	7	value	value	NOUN
ejpam-4662	966	8	index	index	NOUN
ejpam-4662	966	9	.	.	PUNCT
ejpam-4662	967	1	j.statist	j.statist	NOUN
ejpam-4662	967	2	.	.	PUNCT
ejpam-4662	968	1	plann.inference	plann.inference	NOUN
ejpam-4662	968	2	,	,	PUNCT
ejpam-4662	968	3	128(2):381–396	128(2):381–396	NUM
ejpam-4662	968	4	,	,	PUNCT
ejpam-4662	968	5	2002	2002	NUM
ejpam-4662	968	6	.	.	PUNCT
ejpam-4662	969	1	[	[	X
ejpam-4662	969	2	21	21	NUM
ejpam-4662	969	3	]	]	X
ejpam-4662	969	4	s.k	s.k	PROPN
ejpam-4662	969	5	.	.	PROPN
ejpam-4662	969	6	singh	singh	PROPN
ejpam-4662	969	7	and	and	CCONJ
ejpam-4662	969	8	g.s	g.s	PROPN
ejpam-4662	969	9	.	.	PROPN
ejpam-4662	969	10	maddala	maddala	PROPN
ejpam-4662	969	11	.	.	PUNCT
ejpam-4662	970	1	a	a	DET
ejpam-4662	970	2	function	function	NOUN
ejpam-4662	970	3	for	for	ADP
ejpam-4662	970	4	size	size	NOUN
ejpam-4662	970	5	distribution	distribution	NOUN
ejpam-4662	970	6	of	of	ADP
ejpam-4662	970	7	incomes	income	NOUN
ejpam-4662	970	8	.	.	PUNCT
ejpam-4662	971	1	ecnometrica	ecnometrica	PROPN
ejpam-4662	971	2	,	,	PUNCT
ejpam-4662	971	3	44(1):963–970	44(1):963–970	PROPN
ejpam-4662	971	4	,	,	PUNCT
ejpam-4662	971	5	1976	1976	NUM
ejpam-4662	971	6	.	.	PUNCT