id	sid	tid	token	lemma	pos
ejpam-3951	1	1	european	european	PROPN
ejpam-3951	1	2	journal	journal	PROPN
ejpam-3951	1	3	of	of	ADP
ejpam-3951	1	4	pure	pure	ADJ
ejpam-3951	1	5	and	and	CCONJ
ejpam-3951	1	6	applied	apply	VERB
ejpam-3951	1	7	mathematics	mathematic	NOUN
ejpam-3951	1	8	vol	vol	NOUN
ejpam-3951	1	9	.	.	PUNCT
ejpam-3951	2	1	14	14	NUM
ejpam-3951	2	2	,	,	PUNCT
ejpam-3951	2	3	no	no	INTJ
ejpam-3951	2	4	.	.	NOUN
ejpam-3951	2	5	3	3	NUM
ejpam-3951	2	6	,	,	PUNCT
ejpam-3951	2	7	2021	2021	NUM
ejpam-3951	2	8	,	,	PUNCT
ejpam-3951	2	9	1057	1057	NUM
ejpam-3951	2	10	-	-	SYM
ejpam-3951	2	11	1081	1081	NUM
ejpam-3951	2	12	issn	issn	PROPN
ejpam-3951	2	13	1307	1307	NUM
ejpam-3951	2	14	-	-	SYM
ejpam-3951	2	15	5543	5543	NUM
ejpam-3951	2	16	–	–	PUNCT
ejpam-3951	2	17	ejpam.com	ejpam.com	X
ejpam-3951	2	18	published	publish	VERB
ejpam-3951	2	19	by	by	ADP
ejpam-3951	2	20	new	new	PROPN
ejpam-3951	2	21	york	york	PROPN
ejpam-3951	2	22	business	business	PROPN
ejpam-3951	2	23	global	global	ADJ
ejpam-3951	2	24	extremal	extremal	ADJ
ejpam-3951	2	25	copulas	copula	NOUN
ejpam-3951	2	26	and	and	CCONJ
ejpam-3951	2	27	tail	tail	NOUN
ejpam-3951	2	28	dependence	dependence	NOUN
ejpam-3951	2	29	in	in	ADP
ejpam-3951	2	30	modeling	model	VERB
ejpam-3951	2	31	stochastic	stochastic	ADJ
ejpam-3951	2	32	financial	financial	ADJ
ejpam-3951	2	33	risk	risk	NOUN
ejpam-3951	2	34	hassane	hassane	PROPN
ejpam-3951	2	35	abba	abba	PROPN
ejpam-3951	2	36	-	-	PUNCT
ejpam-3951	2	37	mallam1	mallam1	PROPN
ejpam-3951	2	38	,	,	PUNCT
ejpam-3951	2	39	natatou	natatou	PROPN
ejpam-3951	2	40	dodo	dodo	PROPN
ejpam-3951	2	41	moutari1	moutari1	PROPN
ejpam-3951	2	42	,	,	PUNCT
ejpam-3951	2	43	diakarya	diakarya	NOUN
ejpam-3951	2	44	barro2,∗	barro2,∗	VERB
ejpam-3951	2	45	,	,	PUNCT
ejpam-3951	2	46	bisso	bisso	VERB
ejpam-3951	2	47	saley1	saley1	PROPN
ejpam-3951	2	48	1	1	NUM
ejpam-3951	2	49	fast	fast	ADJ
ejpam-3951	2	50	,	,	PUNCT
ejpam-3951	2	51	université	université	NOUN
ejpam-3951	2	52	abdou	abdou	PROPN
ejpam-3951	2	53	moumouni	moumouni	PROPN
ejpam-3951	2	54	,	,	PUNCT
ejpam-3951	2	55	niamey	niamey	NOUN
ejpam-3951	2	56	,	,	PUNCT
ejpam-3951	2	57	niger	niger	NOUN
ejpam-3951	2	58	2	2	NUM
ejpam-3951	2	59	ufr	ufr	NOUN
ejpam-3951	2	60	-	-	PUNCT
ejpam-3951	2	61	seg	seg	NOUN
ejpam-3951	2	62	,	,	PUNCT
ejpam-3951	2	63	université	université	NOUN
ejpam-3951	2	64	thomas	thomas	PROPN
ejpam-3951	2	65	sankara	sankara	PROPN
ejpam-3951	2	66	,	,	PUNCT
ejpam-3951	2	67	burkina	burkina	PROPN
ejpam-3951	2	68	faso	faso	PROPN
ejpam-3951	2	69	abstract	abstract	PROPN
ejpam-3951	2	70	.	.	PUNCT
ejpam-3951	3	1	these	these	DET
ejpam-3951	3	2	last	last	ADJ
ejpam-3951	3	3	years	year	NOUN
ejpam-3951	3	4	the	the	DET
ejpam-3951	3	5	stochastic	stochastic	ADJ
ejpam-3951	3	6	modeling	modeling	NOUN
ejpam-3951	3	7	became	become	VERB
ejpam-3951	3	8	essential	essential	ADJ
ejpam-3951	3	9	in	in	ADP
ejpam-3951	3	10	financial	financial	ADJ
ejpam-3951	3	11	risk	risk	NOUN
ejpam-3951	3	12	management	management	NOUN
ejpam-3951	3	13	related	relate	VERB
ejpam-3951	3	14	to	to	ADP
ejpam-3951	3	15	the	the	DET
ejpam-3951	3	16	ownership	ownership	NOUN
ejpam-3951	3	17	and	and	CCONJ
ejpam-3951	3	18	valuation	valuation	NOUN
ejpam-3951	3	19	of	of	ADP
ejpam-3951	3	20	financial	financial	ADJ
ejpam-3951	3	21	products	product	NOUN
ejpam-3951	3	22	such	such	ADJ
ejpam-3951	3	23	as	as	ADP
ejpam-3951	3	24	assets	asset	NOUN
ejpam-3951	3	25	,	,	PUNCT
ejpam-3951	3	26	options	option	NOUN
ejpam-3951	3	27	and	and	CCONJ
ejpam-3951	3	28	bonds	bond	NOUN
ejpam-3951	3	29	.	.	PUNCT
ejpam-3951	4	1	this	this	DET
ejpam-3951	4	2	paper	paper	NOUN
ejpam-3951	4	3	presents	present	VERB
ejpam-3951	4	4	a	a	DET
ejpam-3951	4	5	contribution	contribution	NOUN
ejpam-3951	4	6	to	to	ADP
ejpam-3951	4	7	the	the	DET
ejpam-3951	4	8	modeling	modeling	NOUN
ejpam-3951	4	9	of	of	ADP
ejpam-3951	4	10	stochastic	stochastic	ADJ
ejpam-3951	4	11	risks	risk	NOUN
ejpam-3951	4	12	in	in	ADP
ejpam-3951	4	13	finance	finance	NOUN
ejpam-3951	4	14	by	by	ADP
ejpam-3951	4	15	using	use	VERB
ejpam-3951	4	16	both	both	DET
ejpam-3951	4	17	extensions	extension	NOUN
ejpam-3951	4	18	of	of	ADP
ejpam-3951	4	19	tail	tail	NOUN
ejpam-3951	4	20	dependence	dependence	NOUN
ejpam-3951	4	21	coefficients	coefficient	NOUN
ejpam-3951	4	22	and	and	CCONJ
ejpam-3951	4	23	extremal	extremal	ADJ
ejpam-3951	4	24	dependance	dependance	NOUN
ejpam-3951	4	25	structures	structure	NOUN
ejpam-3951	4	26	based	base	VERB
ejpam-3951	4	27	on	on	ADP
ejpam-3951	4	28	copulas	copula	NOUN
ejpam-3951	4	29	.	.	PUNCT
ejpam-3951	5	1	in	in	ADP
ejpam-3951	5	2	particular	particular	ADJ
ejpam-3951	5	3	,	,	PUNCT
ejpam-3951	5	4	we	we	PRON
ejpam-3951	5	5	show	show	VERB
ejpam-3951	5	6	that	that	SCONJ
ejpam-3951	5	7	when	when	SCONJ
ejpam-3951	5	8	the	the	DET
ejpam-3951	5	9	stochastic	stochastic	ADJ
ejpam-3951	5	10	behavior	behavior	NOUN
ejpam-3951	5	11	of	of	ADP
ejpam-3951	5	12	a	a	DET
ejpam-3951	5	13	set	set	NOUN
ejpam-3951	5	14	of	of	ADP
ejpam-3951	5	15	risks	risk	NOUN
ejpam-3951	5	16	can	can	AUX
ejpam-3951	5	17	be	be	AUX
ejpam-3951	5	18	modeled	model	VERB
ejpam-3951	5	19	by	by	ADP
ejpam-3951	5	20	a	a	DET
ejpam-3951	5	21	multivariate	multivariate	NOUN
ejpam-3951	5	22	extremal	extremal	ADJ
ejpam-3951	5	23	process	process	NOUN
ejpam-3951	5	24	a	a	DET
ejpam-3951	5	25	corresponding	corresponding	ADJ
ejpam-3951	5	26	form	form	NOUN
ejpam-3951	5	27	of	of	ADP
ejpam-3951	5	28	the	the	DET
ejpam-3951	5	29	underlying	underlying	ADJ
ejpam-3951	5	30	copula	copula	NOUN
ejpam-3951	5	31	describing	describe	VERB
ejpam-3951	5	32	their	their	PRON
ejpam-3951	5	33	dependence	dependence	NOUN
ejpam-3951	5	34	is	be	AUX
ejpam-3951	5	35	determined	determine	VERB
ejpam-3951	5	36	.	.	PUNCT
ejpam-3951	6	1	moreover	moreover	ADV
ejpam-3951	6	2	a	a	DET
ejpam-3951	6	3	new	new	ADJ
ejpam-3951	6	4	tail	tail	NOUN
ejpam-3951	6	5	dependence	dependence	NOUN
ejpam-3951	6	6	measure	measure	NOUN
ejpam-3951	6	7	is	be	AUX
ejpam-3951	6	8	proposed	propose	VERB
ejpam-3951	6	9	and	and	CCONJ
ejpam-3951	6	10	properties	property	NOUN
ejpam-3951	6	11	of	of	ADP
ejpam-3951	6	12	this	this	DET
ejpam-3951	6	13	measure	measure	NOUN
ejpam-3951	6	14	are	be	AUX
ejpam-3951	6	15	established	establish	VERB
ejpam-3951	6	16	.	.	PUNCT
ejpam-3951	7	1	2020	2020	NUM
ejpam-3951	7	2	mathematics	mathematics	PROPN
ejpam-3951	7	3	subject	subject	NOUN
ejpam-3951	7	4	classifications	classification	NOUN
ejpam-3951	7	5	:	:	PUNCT
ejpam-3951	7	6	60g70	60g70	NUM
ejpam-3951	7	7	,	,	PUNCT
ejpam-3951	7	8	62e10	62e10	NUM
ejpam-3951	7	9	,	,	PUNCT
ejpam-3951	7	10	91b05	91b05	NUM
ejpam-3951	7	11	,	,	PUNCT
ejpam-3951	7	12	91b70	91b70	NUM
ejpam-3951	7	13	key	key	ADJ
ejpam-3951	7	14	words	word	NOUN
ejpam-3951	7	15	and	and	CCONJ
ejpam-3951	7	16	phrases	phrase	NOUN
ejpam-3951	7	17	:	:	PUNCT
ejpam-3951	8	1	copulas	copula	NOUN
ejpam-3951	8	2	,	,	PUNCT
ejpam-3951	8	3	stochastic	stochastic	ADJ
ejpam-3951	8	4	finance	finance	NOUN
ejpam-3951	8	5	,	,	PUNCT
ejpam-3951	8	6	extreme	extreme	ADJ
ejpam-3951	8	7	values	value	NOUN
ejpam-3951	8	8	theory	theory	NOUN
ejpam-3951	8	9	,	,	PUNCT
ejpam-3951	8	10	stochastic	stochastic	ADJ
ejpam-3951	8	11	process	process	NOUN
ejpam-3951	8	12	,	,	PUNCT
ejpam-3951	8	13	tail	tail	NOUN
ejpam-3951	8	14	dependence	dependence	NOUN
ejpam-3951	8	15	,	,	PUNCT
ejpam-3951	8	16	value	value	NOUN
ejpam-3951	8	17	at	at	ADP
ejpam-3951	8	18	risk	risk	NOUN
ejpam-3951	8	19	.	.	PUNCT
ejpam-3951	9	1	1	1	X
ejpam-3951	9	2	.	.	X
ejpam-3951	9	3	introduction	introduction	NOUN
ejpam-3951	9	4	now	now	ADV
ejpam-3951	9	5	a	a	DET
ejpam-3951	9	6	days	day	NOUN
ejpam-3951	9	7	,	,	PUNCT
ejpam-3951	9	8	stochastic	stochastic	ADJ
ejpam-3951	9	9	modeling	modeling	NOUN
ejpam-3951	9	10	in	in	ADP
ejpam-3951	9	11	finance	finance	NOUN
ejpam-3951	9	12	has	have	AUX
ejpam-3951	9	13	become	become	VERB
ejpam-3951	9	14	essential	essential	ADJ
ejpam-3951	9	15	in	in	ADP
ejpam-3951	9	16	risks	risk	NOUN
ejpam-3951	9	17	management	management	NOUN
ejpam-3951	9	18	related	relate	VERB
ejpam-3951	9	19	to	to	ADP
ejpam-3951	9	20	the	the	DET
ejpam-3951	9	21	ownership	ownership	NOUN
ejpam-3951	9	22	and	and	CCONJ
ejpam-3951	9	23	valuation	valuation	NOUN
ejpam-3951	9	24	of	of	ADP
ejpam-3951	9	25	financial	financial	ADJ
ejpam-3951	9	26	products	product	NOUN
ejpam-3951	9	27	(	(	PUNCT
ejpam-3951	9	28	assets	asset	NOUN
ejpam-3951	9	29	,	,	PUNCT
ejpam-3951	9	30	options	option	NOUN
ejpam-3951	9	31	,	,	PUNCT
ejpam-3951	9	32	bonds	bond	NOUN
ejpam-3951	9	33	,	,	PUNCT
ejpam-3951	9	34	etc	etc	X
ejpam-3951	9	35	.	.	X
ejpam-3951	9	36	)	)	PUNCT
ejpam-3951	9	37	.	.	PUNCT
ejpam-3951	10	1	several	several	ADJ
ejpam-3951	10	2	models	model	NOUN
ejpam-3951	10	3	exist	exist	VERB
ejpam-3951	10	4	in	in	ADP
ejpam-3951	10	5	financial	financial	ADJ
ejpam-3951	10	6	literature	literature	NOUN
ejpam-3951	10	7	including	include	VERB
ejpam-3951	10	8	the	the	DET
ejpam-3951	10	9	markowitz	markowitz	PROPN
ejpam-3951	10	10	[	[	X
ejpam-3951	10	11	17	17	NUM
ejpam-3951	10	12	]	]	PUNCT
ejpam-3951	10	13	model	model	NOUN
ejpam-3951	10	14	,	,	PUNCT
ejpam-3951	10	15	that	that	PRON
ejpam-3951	10	16	of	of	ADP
ejpam-3951	10	17	black	black	ADJ
ejpam-3951	10	18	-	-	PUNCT
ejpam-3951	10	19	scholes	schole	NOUN
ejpam-3951	10	20	-	-	PUNCT
ejpam-3951	10	21	merton	merton	NOUN
ejpam-3951	10	22	[	[	X
ejpam-3951	10	23	5	5	NUM
ejpam-3951	10	24	]	]	PUNCT
ejpam-3951	10	25	and	and	CCONJ
ejpam-3951	10	26	the	the	DET
ejpam-3951	10	27	model	model	NOUN
ejpam-3951	10	28	of	of	ADP
ejpam-3951	10	29	heston	heston	PROPN
ejpam-3951	11	1	[	[	X
ejpam-3951	11	2	15	15	NUM
ejpam-3951	11	3	]	]	PUNCT
ejpam-3951	11	4	,	,	PUNCT
ejpam-3951	11	5	see	see	VERB
ejpam-3951	11	6	[	[	X
ejpam-3951	11	7	17	17	NUM
ejpam-3951	11	8	]	]	PUNCT
ejpam-3951	11	9	.	.	PUNCT
ejpam-3951	12	1	in	in	ADP
ejpam-3951	12	2	the	the	DET
ejpam-3951	12	3	markowitz	markowitz	PROPN
ejpam-3951	12	4	model	model	PROPN
ejpam-3951	12	5	,	,	PUNCT
ejpam-3951	12	6	the	the	DET
ejpam-3951	12	7	variance	variance	NOUN
ejpam-3951	12	8	(	(	PUNCT
ejpam-3951	12	9	assumed	assume	VERB
ejpam-3951	12	10	to	to	PART
ejpam-3951	12	11	be	be	AUX
ejpam-3951	12	12	constant	constant	ADJ
ejpam-3951	12	13	)	)	PUNCT
ejpam-3951	12	14	is	be	AUX
ejpam-3951	12	15	used	use	VERB
ejpam-3951	12	16	as	as	ADP
ejpam-3951	12	17	a	a	DET
ejpam-3951	12	18	risk	risk	NOUN
ejpam-3951	12	19	measure	measure	NOUN
ejpam-3951	12	20	to	to	PART
ejpam-3951	12	21	determine	determine	VERB
ejpam-3951	12	22	the	the	DET
ejpam-3951	12	23	optimal	optimal	ADJ
ejpam-3951	12	24	portfolio	portfolio	NOUN
ejpam-3951	12	25	.	.	PUNCT
ejpam-3951	13	1	the	the	DET
ejpam-3951	13	2	bsm	bsm	PROPN
ejpam-3951	13	3	model	model	NOUN
ejpam-3951	13	4	based	base	VERB
ejpam-3951	13	5	on	on	ADP
ejpam-3951	13	6	the	the	DET
ejpam-3951	13	7	use	use	NOUN
ejpam-3951	13	8	of	of	ADP
ejpam-3951	13	9	stochastic	stochastic	ADJ
ejpam-3951	13	10	differential	differential	ADJ
ejpam-3951	13	11	equations	equation	NOUN
ejpam-3951	13	12	,	,	PUNCT
ejpam-3951	13	13	provides	provide	VERB
ejpam-3951	13	14	a	a	DET
ejpam-3951	13	15	formula	formula	NOUN
ejpam-3951	13	16	for	for	ADP
ejpam-3951	13	17	valuing	value	VERB
ejpam-3951	13	18	options	option	NOUN
ejpam-3951	13	19	and	and	CCONJ
ejpam-3951	13	20	bonds	bond	NOUN
ejpam-3951	13	21	.	.	PUNCT
ejpam-3951	14	1	this	this	DET
ejpam-3951	14	2	model	model	NOUN
ejpam-3951	14	3	includes	include	VERB
ejpam-3951	14	4	several	several	ADJ
ejpam-3951	14	5	assumptions	assumption	NOUN
ejpam-3951	14	6	such	such	ADJ
ejpam-3951	14	7	as	as	ADP
ejpam-3951	14	8	constant	constant	ADJ
ejpam-3951	14	9	volatility	volatility	NOUN
ejpam-3951	14	10	and	and	CCONJ
ejpam-3951	14	11	a	a	DET
ejpam-3951	14	12	constant	constant	ADJ
ejpam-3951	14	13	and	and	CCONJ
ejpam-3951	14	14	deterministic	deterministic	ADJ
ejpam-3951	14	15	interest	interest	NOUN
ejpam-3951	14	16	rate	rate	NOUN
ejpam-3951	14	17	.	.	PUNCT
ejpam-3951	15	1	the	the	DET
ejpam-3951	15	2	model	model	NOUN
ejpam-3951	15	3	of	of	ADP
ejpam-3951	15	4	heston	heston	PROPN
ejpam-3951	15	5	based	base	VERB
ejpam-3951	15	6	on	on	ADP
ejpam-3951	15	7	diffusion	diffusion	NOUN
ejpam-3951	15	8	processes	process	NOUN
ejpam-3951	15	9	,	,	PUNCT
ejpam-3951	15	10	gives	give	VERB
ejpam-3951	15	11	a	a	DET
ejpam-3951	15	12	semi	semi	ADJ
ejpam-3951	15	13	-	-	ADJ
ejpam-3951	15	14	analytical	analytical	ADJ
ejpam-3951	15	15	formula	formula	NOUN
ejpam-3951	15	16	for	for	ADP
ejpam-3951	15	17	some	some	DET
ejpam-3951	15	18	derivative	derivative	ADJ
ejpam-3951	15	19	products	product	NOUN
ejpam-3951	15	20	with	with	ADP
ejpam-3951	15	21	a	a	DET
ejpam-3951	15	22	certain	certain	ADJ
ejpam-3951	15	23	realism	realism	NOUN
ejpam-3951	15	24	.	.	PUNCT
ejpam-3951	16	1	this	this	DET
ejpam-3951	16	2	model	model	NOUN
ejpam-3951	16	3	is	be	AUX
ejpam-3951	16	4	part	part	NOUN
ejpam-3951	16	5	of	of	ADP
ejpam-3951	16	6	stochastic	stochastic	ADJ
ejpam-3951	16	7	volatility	volatility	NOUN
ejpam-3951	16	8	models	model	NOUN
ejpam-3951	16	9	which	which	PRON
ejpam-3951	16	10	differs	differ	VERB
ejpam-3951	16	11	from	from	ADP
ejpam-3951	16	12	bsm	bsm	PROPN
ejpam-3951	16	13	.	.	PUNCT
ejpam-3951	17	1	despite	despite	SCONJ
ejpam-3951	17	2	their	their	PRON
ejpam-3951	17	3	wide	wide	ADJ
ejpam-3951	17	4	use	use	NOUN
ejpam-3951	17	5	,	,	PUNCT
ejpam-3951	17	6	all	all	PRON
ejpam-3951	17	7	of	of	ADP
ejpam-3951	17	8	these	these	DET
ejpam-3951	17	9	models	model	NOUN
ejpam-3951	17	10	are	be	AUX
ejpam-3951	17	11	built	build	VERB
ejpam-3951	17	12	under	under	ADP
ejpam-3951	17	13	the	the	DET
ejpam-3951	17	14	gaussian	gaussian	ADJ
ejpam-3951	17	15	hypothesis	hypothesis	NOUN
ejpam-3951	17	16	∗corresponding	∗corresponde	VERB
ejpam-3951	17	17	author	author	NOUN
ejpam-3951	17	18	.	.	PUNCT
ejpam-3951	18	1	doi	doi	NOUN
ejpam-3951	18	2	:	:	PUNCT
ejpam-3951	18	3	https://doi.org/10.29020/nybg.ejpam.v14i3.4014	https://doi.org/10.29020/nybg.ejpam.v14i3.4014	NUM
ejpam-3951	18	4	email	email	NOUN
ejpam-3951	18	5	addresses	address	NOUN
ejpam-3951	18	6	:	:	PUNCT
ejpam-3951	18	7	lachimer2@gmail.com	lachimer2@gmail.com	X
ejpam-3951	18	8	(	(	PUNCT
ejpam-3951	18	9	h.	h.	PROPN
ejpam-3951	18	10	abba	abba	PROPN
ejpam-3951	18	11	-	-	PUNCT
ejpam-3951	18	12	m.	m.	NOUN
ejpam-3951	18	13	)	)	PUNCT
ejpam-3951	18	14	,	,	PUNCT
ejpam-3951	18	15	dnatatumutari@gmail.com	dnatatumutari@gmail.com	X
ejpam-3951	19	1	(	(	PUNCT
ejpam-3951	19	2	n.	n.	PROPN
ejpam-3951	19	3	d.	d.	PROPN
ejpam-3951	19	4	moutari	moutari	PROPN
ejpam-3951	19	5	)	)	PUNCT
ejpam-3951	19	6	,	,	PUNCT
ejpam-3951	19	7	dbarro2@gmail.com	dbarro2@gmail.com	X
ejpam-3951	19	8	(	(	PUNCT
ejpam-3951	19	9	d.	d.	NOUN
ejpam-3951	19	10	barro	barro	PROPN
ejpam-3951	19	11	)	)	PUNCT
ejpam-3951	19	12	,	,	PUNCT
ejpam-3951	19	13	bsaley@yahoo.fr	bsaley@yahoo.fr	PROPN
ejpam-3951	19	14	(	(	PUNCT
ejpam-3951	19	15	b.	b.	PROPN
ejpam-3951	19	16	saley	saley	PROPN
ejpam-3951	19	17	)	)	PUNCT
ejpam-3951	19	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3951	19	19	1057	1057	NUM
ejpam-3951	20	1	c	c	X
ejpam-3951	20	2	©	©	PROPN
ejpam-3951	20	3	2021	2021	NUM
ejpam-3951	20	4	ejpam	ejpam	VERB
ejpam-3951	20	5	all	all	DET
ejpam-3951	20	6	rights	right	NOUN
ejpam-3951	20	7	reserved	reserve	VERB
ejpam-3951	20	8	.	.	PUNCT
ejpam-3951	21	1	d.	d.	PROPN
ejpam-3951	21	2	barro	barro	PROPN
ejpam-3951	21	3	et	et	PROPN
ejpam-3951	21	4	al	al	PROPN
ejpam-3951	21	5	.	.	PUNCT
ejpam-3951	21	6	/	/	SYM
ejpam-3951	21	7	eur	eur	PROPN
ejpam-3951	21	8	.	.	PUNCT
ejpam-3951	22	1	j.	j.	PROPN
ejpam-3951	22	2	pure	pure	PROPN
ejpam-3951	22	3	appl	appl	PROPN
ejpam-3951	22	4	.	.	PROPN
ejpam-3951	22	5	math	math	PROPN
ejpam-3951	22	6	,	,	PUNCT
ejpam-3951	22	7	14	14	NUM
ejpam-3951	22	8	(	(	PUNCT
ejpam-3951	22	9	3	3	NUM
ejpam-3951	22	10	)	)	PUNCT
ejpam-3951	22	11	(	(	PUNCT
ejpam-3951	22	12	2021	2021	NUM
ejpam-3951	22	13	)	)	PUNCT
ejpam-3951	22	14	,	,	PUNCT
ejpam-3951	22	15	1057	1057	NUM
ejpam-3951	22	16	-	-	SYM
ejpam-3951	22	17	1081	1081	NUM
ejpam-3951	22	18	1058	1058	NUM
ejpam-3951	22	19	which	which	PRON
ejpam-3951	22	20	does	do	AUX
ejpam-3951	22	21	not	not	PART
ejpam-3951	22	22	capture	capture	VERB
ejpam-3951	22	23	the	the	DET
ejpam-3951	22	24	leptokurticity	leptokurticity	ADJ
ejpam-3951	22	25	effect	effect	NOUN
ejpam-3951	22	26	in	in	ADP
ejpam-3951	22	27	stochastic	stochastic	ADJ
ejpam-3951	22	28	finance	finance	NOUN
ejpam-3951	22	29	and	and	CCONJ
ejpam-3951	22	30	there	there	PRON
ejpam-3951	22	31	are	be	VERB
ejpam-3951	22	32	also	also	ADV
ejpam-3951	22	33	weaknesses	weakness	NOUN
ejpam-3951	22	34	when	when	SCONJ
ejpam-3951	22	35	we	we	PRON
ejpam-3951	22	36	want	want	VERB
ejpam-3951	22	37	to	to	PART
ejpam-3951	22	38	model	model	VERB
ejpam-3951	22	39	the	the	DET
ejpam-3951	22	40	joint	joint	ADJ
ejpam-3951	22	41	distribution	distribution	NOUN
ejpam-3951	22	42	.	.	PUNCT
ejpam-3951	23	1	to	to	PART
ejpam-3951	23	2	overcome	overcome	VERB
ejpam-3951	23	3	these	these	DET
ejpam-3951	23	4	problems	problem	NOUN
ejpam-3951	23	5	,	,	PUNCT
ejpam-3951	23	6	other	other	ADJ
ejpam-3951	23	7	models	model	NOUN
ejpam-3951	23	8	developped	developpe	VERB
ejpam-3951	23	9	on	on	ADP
ejpam-3951	23	10	the	the	DET
ejpam-3951	23	11	basis	basis	NOUN
ejpam-3951	23	12	of	of	ADP
ejpam-3951	23	13	on	on	ADP
ejpam-3951	23	14	extreme	extreme	ADJ
ejpam-3951	23	15	values	value	NOUN
ejpam-3951	23	16	theory	theory	NOUN
ejpam-3951	23	17	(	(	PUNCT
ejpam-3951	23	18	evt	evt	PROPN
ejpam-3951	23	19	)	)	PUNCT
ejpam-3951	23	20	and	and	CCONJ
ejpam-3951	23	21	copulas	copula	NOUN
ejpam-3951	23	22	theory	theory	NOUN
ejpam-3951	23	23	,	,	PUNCT
ejpam-3951	23	24	are	be	AUX
ejpam-3951	23	25	proposed	propose	VERB
ejpam-3951	23	26	.	.	PUNCT
ejpam-3951	24	1	the	the	DET
ejpam-3951	24	2	evt	evt	PROPN
ejpam-3951	24	3	provides	provide	VERB
ejpam-3951	24	4	a	a	DET
ejpam-3951	24	5	framework	framework	NOUN
ejpam-3951	24	6	for	for	ADP
ejpam-3951	24	7	better	well	ADJ
ejpam-3951	24	8	modeling	modeling	NOUN
ejpam-3951	24	9	leptokurticity	leptokurticity	NOUN
ejpam-3951	24	10	and	and	CCONJ
ejpam-3951	24	11	copulas	copula	NOUN
ejpam-3951	24	12	gives	give	VERB
ejpam-3951	24	13	better	well	ADJ
ejpam-3951	24	14	link	link	NOUN
ejpam-3951	24	15	between	between	ADP
ejpam-3951	24	16	marginal	marginal	ADJ
ejpam-3951	24	17	and	and	CCONJ
ejpam-3951	24	18	joint	joint	ADJ
ejpam-3951	24	19	distribution	distribution	NOUN
ejpam-3951	24	20	,	,	PUNCT
ejpam-3951	24	21	if	if	SCONJ
ejpam-3951	24	22	one	one	PRON
ejpam-3951	24	23	is	be	AUX
ejpam-3951	24	24	confronted	confront	VERB
ejpam-3951	24	25	with	with	ADP
ejpam-3951	24	26	the	the	DET
ejpam-3951	24	27	study	study	NOUN
ejpam-3951	24	28	of	of	ADP
ejpam-3951	24	29	several	several	ADJ
ejpam-3951	24	30	risks	risk	NOUN
ejpam-3951	24	31	.	.	PUNCT
ejpam-3951	25	1	indeed	indeed	ADV
ejpam-3951	25	2	,	,	PUNCT
ejpam-3951	25	3	the	the	DET
ejpam-3951	25	4	copula	copula	NOUN
ejpam-3951	25	5	makes	make	VERB
ejpam-3951	25	6	it	it	PRON
ejpam-3951	25	7	possible	possible	ADJ
ejpam-3951	25	8	to	to	PART
ejpam-3951	25	9	capture	capture	VERB
ejpam-3951	25	10	the	the	DET
ejpam-3951	25	11	structure	structure	NOUN
ejpam-3951	25	12	of	of	ADP
ejpam-3951	25	13	dependence	dependence	NOUN
ejpam-3951	25	14	which	which	PRON
ejpam-3951	25	15	exists	exist	VERB
ejpam-3951	25	16	between	between	ADP
ejpam-3951	25	17	several	several	ADJ
ejpam-3951	25	18	random	random	ADJ
ejpam-3951	25	19	variables	variable	NOUN
ejpam-3951	25	20	.	.	PUNCT
ejpam-3951	26	1	the	the	DET
ejpam-3951	26	2	first	first	ADJ
ejpam-3951	26	3	uses	use	NOUN
ejpam-3951	26	4	of	of	ADP
ejpam-3951	26	5	copulas	copula	NOUN
ejpam-3951	26	6	in	in	ADP
ejpam-3951	26	7	financial	financial	ADJ
ejpam-3951	26	8	modeling	modeling	NOUN
ejpam-3951	26	9	are	be	AUX
ejpam-3951	26	10	very	very	ADV
ejpam-3951	26	11	recent	recent	ADJ
ejpam-3951	26	12	(	(	PUNCT
ejpam-3951	26	13	see	see	VERB
ejpam-3951	26	14	[	[	X
ejpam-3951	26	15	4	4	NUM
ejpam-3951	26	16	]	]	NUM
ejpam-3951	26	17	)	)	PUNCT
ejpam-3951	26	18	.	.	PUNCT
ejpam-3951	27	1	they	they	PRON
ejpam-3951	27	2	are	be	AUX
ejpam-3951	27	3	more	more	ADV
ejpam-3951	27	4	and	and	CCONJ
ejpam-3951	27	5	more	more	ADV
ejpam-3951	27	6	studied	studied	ADJ
ejpam-3951	27	7	because	because	SCONJ
ejpam-3951	27	8	of	of	ADP
ejpam-3951	27	9	their	their	PRON
ejpam-3951	27	10	flexibility	flexibility	NOUN
ejpam-3951	27	11	and	and	CCONJ
ejpam-3951	27	12	their	their	PRON
ejpam-3951	27	13	ease	ease	NOUN
ejpam-3951	27	14	of	of	ADP
ejpam-3951	27	15	interpretation	interpretation	NOUN
ejpam-3951	27	16	and	and	CCONJ
ejpam-3951	27	17	of	of	ADP
ejpam-3951	27	18	implementation	implementation	NOUN
ejpam-3951	27	19	.	.	PUNCT
ejpam-3951	28	1	for	for	ADP
ejpam-3951	28	2	more	more	ADJ
ejpam-3951	28	3	details	detail	NOUN
ejpam-3951	28	4	,	,	PUNCT
ejpam-3951	28	5	see	see	VERB
ejpam-3951	28	6	embrechts[11	embrechts[11	NOUN
ejpam-3951	28	7	]	]	PUNCT
ejpam-3951	28	8	;	;	PUNCT
ejpam-3951	28	9	malavergne[16	malavergne[16	X
ejpam-3951	28	10	]	]	X
ejpam-3951	28	11	and	and	CCONJ
ejpam-3951	28	12	the	the	DET
ejpam-3951	28	13	references	reference	NOUN
ejpam-3951	28	14	therein	therein	ADV
ejpam-3951	28	15	.	.	PUNCT
ejpam-3951	29	1	the	the	DET
ejpam-3951	29	2	essentiels	essentiels	PROPN
ejpam-3951	29	3	results	result	NOUN
ejpam-3951	29	4	in	in	ADP
ejpam-3951	29	5	evt	evt	PROPN
ejpam-3951	29	6	are	be	AUX
ejpam-3951	29	7	due	due	ADJ
ejpam-3951	29	8	to	to	ADP
ejpam-3951	29	9	fisher	fisher	PROPN
ejpam-3951	29	10	-	-	PUNCT
ejpam-3951	29	11	tippet	tippet	NOUN
ejpam-3951	29	12	(	(	PUNCT
ejpam-3951	29	13	theorem	theorem	NOUN
ejpam-3951	29	14	of	of	ADP
ejpam-3951	29	15	three	three	NUM
ejpam-3951	29	16	types	type	NOUN
ejpam-3951	29	17	)	)	PUNCT
ejpam-3951	30	1	[	[	X
ejpam-3951	30	2	13	13	NUM
ejpam-3951	30	3	]	]	PUNCT
ejpam-3951	30	4	and	and	CCONJ
ejpam-3951	30	5	balkema	balkema	ADV
ejpam-3951	30	6	-	-	PUNCT
ejpam-3951	30	7	de	de	NOUN
ejpam-3951	30	8	haanpickands	haanpickand	NOUN
ejpam-3951	30	9	[	[	X
ejpam-3951	30	10	1	1	NUM
ejpam-3951	30	11	]	]	PUNCT
ejpam-3951	30	12	.	.	PUNCT
ejpam-3951	31	1	these	these	DET
ejpam-3951	31	2	results	result	NOUN
ejpam-3951	31	3	establish	establish	VERB
ejpam-3951	31	4	in	in	ADP
ejpam-3951	31	5	particular	particular	ADJ
ejpam-3951	31	6	that	that	SCONJ
ejpam-3951	31	7	,	,	PUNCT
ejpam-3951	31	8	if	if	SCONJ
ejpam-3951	31	9	x1	x1	PROPN
ejpam-3951	31	10	;	;	PUNCT
ejpam-3951	31	11	.	.	PUNCT
ejpam-3951	31	12	.	.	PUNCT
ejpam-3951	31	13	.	.	PUNCT
ejpam-3951	32	1	;	;	PUNCT
ejpam-3951	32	2	xn	xn	PROPN
ejpam-3951	32	3	is	be	AUX
ejpam-3951	32	4	a	a	DET
ejpam-3951	32	5	sequence	sequence	NOUN
ejpam-3951	32	6	of	of	ADP
ejpam-3951	32	7	random	random	ADJ
ejpam-3951	32	8	variables	variable	NOUN
ejpam-3951	32	9	with	with	ADP
ejpam-3951	32	10	common	common	ADJ
ejpam-3951	32	11	distribution	distribution	NOUN
ejpam-3951	32	12	f	f	NOUN
ejpam-3951	32	13	,	,	PUNCT
ejpam-3951	32	14	then	then	ADV
ejpam-3951	32	15	the	the	DET
ejpam-3951	32	16	excess	excess	ADJ
ejpam-3951	32	17	variable	variable	NOUN
ejpam-3951	32	18	{	{	PUNCT
ejpam-3951	32	19	yj	yj	PROPN
ejpam-3951	32	20	=	=	PROPN
ejpam-3951	32	21	xj	xj	PROPN
ejpam-3951	32	22	−	−	PROPN
ejpam-3951	32	23	u	u	PROPN
ejpam-3951	32	24	/	/	SYM
ejpam-3951	32	25	xj	xj	PROPN
ejpam-3951	32	26	>	>	X
ejpam-3951	32	27	u	u	PROPN
ejpam-3951	32	28	}	}	PUNCT
ejpam-3951	32	29	;	;	PUNCT
ejpam-3951	32	30	nu	nu	X
ejpam-3951	32	31	=	=	SYM
ejpam-3951	32	32	card{k	card{k	PROPN
ejpam-3951	32	33	/	/	SYM
ejpam-3951	32	34	xk	xk	PROPN
ejpam-3951	32	35	>	>	X
ejpam-3951	32	36	u	u	PROPN
ejpam-3951	32	37	}	}	PUNCT
ejpam-3951	32	38	which	which	PRON
ejpam-3951	32	39	is	be	AUX
ejpam-3951	32	40	governed	govern	VERB
ejpam-3951	32	41	by	by	ADP
ejpam-3951	32	42	the	the	DET
ejpam-3951	32	43	law	law	NOUN
ejpam-3951	32	44	fu	fu	NOUN
ejpam-3951	32	45	(	(	PUNCT
ejpam-3951	32	46	conditional	conditional	ADJ
ejpam-3951	32	47	distribution	distribution	NOUN
ejpam-3951	32	48	of	of	ADP
ejpam-3951	32	49	the	the	DET
ejpam-3951	32	50	unknown	unknown	ADJ
ejpam-3951	32	51	continuous	continuous	ADJ
ejpam-3951	32	52	distribution	distribution	NOUN
ejpam-3951	32	53	function	function	NOUN
ejpam-3951	32	54	f	f	NOUN
ejpam-3951	32	55	with	with	ADP
ejpam-3951	32	56	respect	respect	NOUN
ejpam-3951	32	57	to	to	ADP
ejpam-3951	32	58	the	the	DET
ejpam-3951	32	59	threshold	threshold	NOUN
ejpam-3951	32	60	u	u	NOUN
ejpam-3951	32	61	)	)	PUNCT
ejpam-3951	32	62	,	,	PUNCT
ejpam-3951	32	63	converges	converge	VERB
ejpam-3951	32	64	asymptotically	asymptotically	ADV
ejpam-3951	32	65	towards	towards	ADP
ejpam-3951	32	66	a	a	DET
ejpam-3951	32	67	non	non	ADJ
ejpam-3951	32	68	-	-	ADJ
ejpam-3951	32	69	degenerate	degenerate	ADJ
ejpam-3951	32	70	law	law	NOUN
ejpam-3951	32	71	.	.	PUNCT
ejpam-3951	33	1	according	accord	VERB
ejpam-3951	33	2	to	to	ADP
ejpam-3951	33	3	pickands	pickand	NOUN
ejpam-3951	33	4	,	,	PUNCT
ejpam-3951	33	5	balkema	balkema	NOUN
ejpam-3951	33	6	and	and	CCONJ
ejpam-3951	33	7	de	de	X
ejpam-3951	33	8	haan	haan	PROPN
ejpam-3951	33	9	:	:	PUNCT
ejpam-3951	33	10	when	when	SCONJ
ejpam-3951	33	11	the	the	DET
ejpam-3951	33	12	threshold	threshold	NOUN
ejpam-3951	33	13	u	u	NOUN
ejpam-3951	33	14	tends	tend	VERB
ejpam-3951	33	15	towards	towards	ADP
ejpam-3951	33	16	the	the	DET
ejpam-3951	33	17	right	right	ADJ
ejpam-3951	33	18	endpoint	endpoint	NOUN
ejpam-3951	33	19	xf	xf	PROPN
ejpam-3951	33	20	,	,	PUNCT
ejpam-3951	33	21	it	it	PRON
ejpam-3951	33	22	follows	follow	VERB
ejpam-3951	33	23	that	that	PRON
ejpam-3951	33	24	:	:	PUNCT
ejpam-3951	33	25	lim	lim	PROPN
ejpam-3951	33	26	u→xf	u→xf	VERB
ejpam-3951	33	27	|fu(y)−h(y)|	|fu(y)−h(y)|	PROPN
ejpam-3951	33	28	=	=	SYM
ejpam-3951	33	29	0	0	PROPN
ejpam-3951	33	30	.	.	PUNCT
ejpam-3951	33	31	where	where	SCONJ
ejpam-3951	33	32	the	the	DET
ejpam-3951	33	33	function	function	NOUN
ejpam-3951	33	34	h(y	h(y	ADV
ejpam-3951	33	35	)	)	PUNCT
ejpam-3951	33	36	corresponds	correspond	VERB
ejpam-3951	33	37	to	to	ADP
ejpam-3951	33	38	the	the	DET
ejpam-3951	33	39	distribution	distribution	NOUN
ejpam-3951	33	40	function	function	NOUN
ejpam-3951	33	41	of	of	ADP
ejpam-3951	33	42	the	the	DET
ejpam-3951	33	43	generalized	generalize	VERB
ejpam-3951	33	44	pareto	pareto	VERB
ejpam-3951	33	45	law(gpd	law(gpd	NOUN
ejpam-3951	33	46	)	)	PUNCT
ejpam-3951	33	47	:	:	PUNCT
ejpam-3951	34	1	hξ	hξ	X
ejpam-3951	34	2	,	,	PUNCT
ejpam-3951	34	3	σ(y	σ(y	PROPN
ejpam-3951	34	4	)	)	PUNCT
ejpam-3951	34	5	=	=	PUNCT
ejpam-3951	35	1			NUM
ejpam-3951	35	2	1−	1−	NUM
ejpam-3951	36	1	[	[	X
ejpam-3951	36	2	1	1	NUM
ejpam-3951	36	3	+	+	SYM
ejpam-3951	36	4	ξ	ξ	X
ejpam-3951	36	5	yσ	yσ	NOUN
ejpam-3951	36	6	]	]	PUNCT
ejpam-3951	36	7	−	−	PROPN
ejpam-3951	36	8	1	1	NUM
ejpam-3951	36	9	ξ	ξ	PROPN
ejpam-3951	36	10	,	,	PUNCT
ejpam-3951	36	11	ξ	ξ	PROPN
ejpam-3951	36	12	6=	6=	ADP
ejpam-3951	36	13	0	0	NUM
ejpam-3951	36	14	1−	1−	PROPN
ejpam-3951	36	15	exp(−	exp(−	PROPN
ejpam-3951	36	16	y	y	PROPN
ejpam-3951	36	17	σ	σ	PROPN
ejpam-3951	36	18	)	)	PUNCT
ejpam-3951	36	19	,	,	PUNCT
ejpam-3951	36	20	ξ	ξ	X
ejpam-3951	36	21	=	=	SYM
ejpam-3951	36	22	0	0	NUM
ejpam-3951	36	23	;	;	PUNCT
ejpam-3951	36	24	(	(	PUNCT
ejpam-3951	36	25	1	1	X
ejpam-3951	36	26	)	)	PUNCT
ejpam-3951	36	27	where	where	SCONJ
ejpam-3951	36	28	{	{	PUNCT
ejpam-3951	36	29	ξ	ξ	X
ejpam-3951	36	30	∈	∈	NOUN
ejpam-3951	36	31	r	r	NOUN
ejpam-3951	36	32	}	}	PUNCT
ejpam-3951	36	33	is	be	AUX
ejpam-3951	36	34	the	the	DET
ejpam-3951	36	35	tail	tail	NOUN
ejpam-3951	36	36	index	index	NOUN
ejpam-3951	36	37	and	and	CCONJ
ejpam-3951	36	38	{	{	PUNCT
ejpam-3951	36	39	µ	µ	X
ejpam-3951	36	40	∈	∈	NOUN
ejpam-3951	36	41	r	r	NOUN
ejpam-3951	36	42	}	}	PUNCT
ejpam-3951	36	43	,	,	PUNCT
ejpam-3951	36	44	{	{	PUNCT
ejpam-3951	36	45	σ	σ	X
ejpam-3951	36	46	�	�	PROPN
ejpam-3951	36	47	0	0	NUM
ejpam-3951	36	48	}	}	PUNCT
ejpam-3951	36	49	are	be	AUX
ejpam-3951	36	50	localization	localization	NOUN
ejpam-3951	36	51	and	and	CCONJ
ejpam-3951	36	52	dispersion	dispersion	NOUN
ejpam-3951	36	53	parameters	parameter	NOUN
ejpam-3951	36	54	respectively	respectively	ADV
ejpam-3951	36	55	;	;	PUNCT
ejpam-3951	36	56	and	and	CCONJ
ejpam-3951	36	57	y	y	PROPN
ejpam-3951	36	58	∈	∈	PROPN
ejpam-3951	37	1	[	[	X
ejpam-3951	37	2	0;xf	0;xf	NUM
ejpam-3951	37	3	−	−	NOUN
ejpam-3951	37	4	u	u	NOUN
ejpam-3951	37	5	]	]	X
ejpam-3951	37	6	,	,	PUNCT
ejpam-3951	37	7	if	if	SCONJ
ejpam-3951	37	8	ξ	ξ	X
ejpam-3951	37	9	≥	≥	X
ejpam-3951	37	10	0	0	NUM
ejpam-3951	37	11	and	and	CCONJ
ejpam-3951	37	12	y	y	PROPN
ejpam-3951	37	13	∈	∈	PROPN
ejpam-3951	38	1	[	[	X
ejpam-3951	38	2	0,−σ	0,−σ	X
ejpam-3951	38	3	ξ	ξ	X
ejpam-3951	38	4	]	]	PUNCT
ejpam-3951	38	5	,	,	PUNCT
ejpam-3951	38	6	if	if	SCONJ
ejpam-3951	38	7	ξ	ξ	X
ejpam-3951	38	8	<	<	X
ejpam-3951	38	9	0.†	0.†	NUM
ejpam-3951	38	10	risk	risk	NOUN
ejpam-3951	38	11	is	be	AUX
ejpam-3951	38	12	omnipresent	omnipresent	NOUN
ejpam-3951	38	13	in	in	ADP
ejpam-3951	38	14	any	any	DET
ejpam-3951	38	15	kind	kind	NOUN
ejpam-3951	38	16	of	of	ADP
ejpam-3951	38	17	investment	investment	NOUN
ejpam-3951	38	18	operation	operation	NOUN
ejpam-3951	38	19	on	on	ADP
ejpam-3951	38	20	the	the	DET
ejpam-3951	38	21	financial	financial	ADJ
ejpam-3951	38	22	market	market	NOUN
ejpam-3951	38	23	.	.	PUNCT
ejpam-3951	39	1	its	its	PRON
ejpam-3951	39	2	universe	universe	NOUN
ejpam-3951	39	3	keeps	keep	VERB
ejpam-3951	39	4	growing	grow	VERB
ejpam-3951	39	5	due	due	ADP
ejpam-3951	39	6	to	to	ADP
ejpam-3951	39	7	the	the	DET
ejpam-3951	39	8	growing	grow	VERB
ejpam-3951	39	9	creation	creation	NOUN
ejpam-3951	39	10	of	of	ADP
ejpam-3951	39	11	new	new	ADJ
ejpam-3951	39	12	financial	financial	ADJ
ejpam-3951	39	13	products	product	NOUN
ejpam-3951	39	14	and	and	CCONJ
ejpam-3951	39	15	the	the	DET
ejpam-3951	39	16	emergence	emergence	NOUN
ejpam-3951	39	17	of	of	ADP
ejpam-3951	39	18	financial	financial	ADJ
ejpam-3951	39	19	markets	market	NOUN
ejpam-3951	39	20	.	.	PUNCT
ejpam-3951	40	1	in	in	ADP
ejpam-3951	40	2	this	this	DET
ejpam-3951	40	3	context	context	NOUN
ejpam-3951	40	4	,	,	PUNCT
ejpam-3951	40	5	management	management	NOUN
ejpam-3951	40	6	practicers	practicer	NOUN
ejpam-3951	40	7	have	have	AUX
ejpam-3951	40	8	been	be	AUX
ejpam-3951	40	9	strengthened	strengthen	VERB
ejpam-3951	40	10	especially	especially	ADV
ejpam-3951	40	11	in	in	ADP
ejpam-3951	40	12	matters	matter	NOUN
ejpam-3951	40	13	of	of	ADP
ejpam-3951	40	14	regulation	regulation	NOUN
ejpam-3951	40	15	(	(	PUNCT
ejpam-3951	40	16	basel	basel	PROPN
ejpam-3951	40	17	i	i	PROPN
ejpam-3951	40	18	,	,	PUNCT
ejpam-3951	40	19	ii	ii	PROPN
ejpam-3951	40	20	then	then	ADV
ejpam-3951	40	21	iii	iii	NOUN
ejpam-3951	40	22	)	)	PUNCT
ejpam-3951	40	23	,	,	PUNCT
ejpam-3951	40	24	recovery	recovery	NOUN
ejpam-3951	40	25	(	(	PUNCT
ejpam-3951	40	26	see	see	VERB
ejpam-3951	40	27	[	[	X
ejpam-3951	40	28	10	10	NUM
ejpam-3951	40	29	]	]	PUNCT
ejpam-3951	40	30	)	)	PUNCT
ejpam-3951	40	31	and	and	CCONJ
ejpam-3951	40	32	in	in	ADP
ejpam-3951	40	33	matters	matter	NOUN
ejpam-3951	40	34	design	design	NOUN
ejpam-3951	40	35	of	of	ADP
ejpam-3951	40	36	risk	risk	NOUN
ejpam-3951	40	37	measurement	measurement	NOUN
ejpam-3951	40	38	tools	tool	NOUN
ejpam-3951	40	39	.	.	PUNCT
ejpam-3951	41	1	these	these	DET
ejpam-3951	41	2	risk	risk	NOUN
ejpam-3951	41	3	measurement	measurement	NOUN
ejpam-3951	41	4	tools	tool	NOUN
ejpam-3951	41	5	are	be	AUX
ejpam-3951	41	6	diverse	diverse	ADJ
ejpam-3951	41	7	(	(	PUNCT
ejpam-3951	41	8	depending	depend	VERB
ejpam-3951	41	9	on	on	ADP
ejpam-3951	41	10	the	the	DET
ejpam-3951	41	11	nature	nature	NOUN
ejpam-3951	41	12	of	of	ADP
ejpam-3951	41	13	the	the	DET
ejpam-3951	41	14	risk	risk	NOUN
ejpam-3951	41	15	)	)	PUNCT
ejpam-3951	41	16	and	and	CCONJ
ejpam-3951	41	17	various	various	ADJ
ejpam-3951	41	18	.	.	PUNCT
ejpam-3951	42	1	the	the	DET
ejpam-3951	42	2	main	main	ADJ
ejpam-3951	42	3	theoretical	theoretical	ADJ
ejpam-3951	42	4	risk	risk	NOUN
ejpam-3951	42	5	measures	measure	NOUN
ejpam-3951	42	6	are	be	AUX
ejpam-3951	42	7	volatility	volatility	NOUN
ejpam-3951	42	8	,	,	PUNCT
ejpam-3951	42	9	correlation	correlation	NOUN
ejpam-3951	42	10	coefficient	coefficient	NOUN
ejpam-3951	42	11	,	,	PUNCT
ejpam-3951	42	12	beta	beta	ADJ
ejpam-3951	42	13	coefficient	coefficient	NOUN
ejpam-3951	42	14	,	,	PUNCT
ejpam-3951	42	15	var	var	NOUN
ejpam-3951	42	16	,	,	PUNCT
ejpam-3951	42	17	tvar	tvar	NOUN
ejpam-3951	42	18	,	,	PUNCT
ejpam-3951	42	19	cvar	cvar	PROPN
ejpam-3951	42	20	,	,	PUNCT
ejpam-3951	42	21	kendall	kendall	PROPN
ejpam-3951	42	22	tau	tau	PROPN
ejpam-3951	42	23	,	,	PUNCT
ejpam-3951	42	24	spearman	spearman	NOUN
ejpam-3951	42	25	rhô	rhô	PROPN
ejpam-3951	42	26	,	,	PUNCT
ejpam-3951	42	27	the	the	DET
ejpam-3951	42	28	tail	tail	NOUN
ejpam-3951	42	29	dependence	dependence	NOUN
ejpam-3951	42	30	coefficient	coefficient	NOUN
ejpam-3951	42	31	.	.	PUNCT
ejpam-3951	43	1	for	for	ADP
ejpam-3951	43	2	more	more	ADJ
ejpam-3951	43	3	details	detail	NOUN
ejpam-3951	43	4	on	on	ADP
ejpam-3951	43	5	the	the	DET
ejpam-3951	43	6	typology	typology	NOUN
ejpam-3951	43	7	of	of	ADP
ejpam-3951	43	8	risk	risk	NOUN
ejpam-3951	43	9	and	and	CCONJ
ejpam-3951	43	10	the	the	DET
ejpam-3951	43	11	application	application	NOUN
ejpam-3951	43	12	of	of	ADP
ejpam-3951	43	13	these	these	DET
ejpam-3951	43	14	measures	measure	NOUN
ejpam-3951	43	15	in	in	ADP
ejpam-3951	43	16	finance	finance	NOUN
ejpam-3951	43	17	,	,	PUNCT
ejpam-3951	43	18	see	see	VERB
ejpam-3951	43	19	[	[	X
ejpam-3951	43	20	11],[16	11],[16	NUM
ejpam-3951	43	21	]	]	X
ejpam-3951	43	22	.	.	PUNCT
ejpam-3951	44	1	since	since	SCONJ
ejpam-3951	44	2	its	its	PRON
ejpam-3951	44	3	first	first	ADJ
ejpam-3951	44	4	use	use	NOUN
ejpam-3951	44	5	by	by	ADP
ejpam-3951	44	6	jp	jp	PROPN
ejpam-3951	44	7	morgan	morgan	PROPN
ejpam-3951	44	8	(	(	PUNCT
ejpam-3951	44	9	1990	1990	NUM
ejpam-3951	44	10	)	)	PUNCT
ejpam-3951	44	11	,	,	PUNCT
ejpam-3951	44	12	the	the	DET
ejpam-3951	44	13	var	var	NOUN
ejpam-3951	44	14	is	be	AUX
ejpam-3951	44	15	currently	currently	ADV
ejpam-3951	44	16	the	the	DET
ejpam-3951	44	17	most	most	ADV
ejpam-3951	44	18	used	use	VERB
ejpam-3951	44	19	in	in	ADP
ejpam-3951	44	20	finance	finance	NOUN
ejpam-3951	44	21	(	(	PUNCT
ejpam-3951	44	22	in	in	ADP
ejpam-3951	44	23	the	the	DET
ejpam-3951	44	24	univariate	univariate	ADJ
ejpam-3951	44	25	case	case	NOUN
ejpam-3951	44	26	)	)	PUNCT
ejpam-3951	44	27	,	,	PUNCT
ejpam-3951	44	28	due	due	ADP
ejpam-3951	44	29	to	to	ADP
ejpam-3951	44	30	its	its	PRON
ejpam-3951	44	31	simplicity	simplicity	NOUN
ejpam-3951	44	32	of	of	ADP
ejpam-3951	44	33	interpretation	interpretation	NOUN
ejpam-3951	44	34	and	and	CCONJ
ejpam-3951	44	35	calculation	calculation	NOUN
ejpam-3951	44	36	.	.	PUNCT
ejpam-3951	45	1	indeed	indeed	ADV
ejpam-3951	45	2	,	,	PUNCT
ejpam-3951	45	3	†the	†the	DET
ejpam-3951	45	4	gpd	gpd	NOUN
ejpam-3951	45	5	h	h	NOUN
ejpam-3951	45	6	can	can	AUX
ejpam-3951	45	7	be	be	AUX
ejpam-3951	45	8	written	write	VERB
ejpam-3951	45	9	in	in	ADP
ejpam-3951	45	10	the	the	DET
ejpam-3951	45	11	form	form	NOUN
ejpam-3951	45	12	:	:	PUNCT
ejpam-3951	45	13	h(y	h(y	ADV
ejpam-3951	45	14	)	)	PUNCT
ejpam-3951	45	15	=	=	SYM
ejpam-3951	46	1	1	1	NUM
ejpam-3951	46	2	+	+	NUM
ejpam-3951	46	3	logg(y	logg(y	NOUN
ejpam-3951	46	4	)	)	PUNCT
ejpam-3951	46	5	where	where	SCONJ
ejpam-3951	46	6	g	g	PROPN
ejpam-3951	46	7	corresponds	correspond	VERB
ejpam-3951	46	8	to	to	ADP
ejpam-3951	46	9	the	the	DET
ejpam-3951	46	10	generalized	generalized	ADJ
ejpam-3951	46	11	extreme	extreme	ADJ
ejpam-3951	46	12	value	value	NOUN
ejpam-3951	46	13	(	(	PUNCT
ejpam-3951	46	14	gev	gev	NOUN
ejpam-3951	46	15	)	)	PUNCT
ejpam-3951	46	16	distribution	distribution	NOUN
ejpam-3951	46	17	.	.	PUNCT
ejpam-3951	47	1	considering	consider	VERB
ejpam-3951	47	2	the	the	DET
ejpam-3951	47	3	gev	gev	NOUN
ejpam-3951	47	4	model	model	NOUN
ejpam-3951	47	5	with	with	ADP
ejpam-3951	47	6	localization	localization	NOUN
ejpam-3951	47	7	parameter	parameter	NOUN
ejpam-3951	47	8	µ	µ	NOUN
ejpam-3951	47	9	=	=	SYM
ejpam-3951	47	10	0	0	PUNCT
ejpam-3951	47	11	(	(	PUNCT
ejpam-3951	47	12	for	for	ADP
ejpam-3951	47	13	the	the	DET
ejpam-3951	47	14	excesses	excess	NOUN
ejpam-3951	47	15	the	the	DET
ejpam-3951	47	16	effect	effect	NOUN
ejpam-3951	47	17	of	of	ADP
ejpam-3951	47	18	the	the	DET
ejpam-3951	47	19	localization	localization	NOUN
ejpam-3951	47	20	parameter	parameter	NOUN
ejpam-3951	47	21	is	be	AUX
ejpam-3951	47	22	taken	take	VERB
ejpam-3951	47	23	in	in	ADP
ejpam-3951	47	24	account	account	NOUN
ejpam-3951	47	25	in	in	ADP
ejpam-3951	47	26	the	the	DET
ejpam-3951	47	27	sequence	sequence	NOUN
ejpam-3951	47	28	(	(	PUNCT
ejpam-3951	47	29	an)n≥1	an)n≥1	NOUN
ejpam-3951	47	30	)	)	PUNCT
ejpam-3951	47	31	.	.	PUNCT
ejpam-3951	48	1	d.	d.	PROPN
ejpam-3951	48	2	barro	barro	PROPN
ejpam-3951	48	3	et	et	PROPN
ejpam-3951	48	4	al	al	PROPN
ejpam-3951	48	5	.	.	PUNCT
ejpam-3951	48	6	/	/	SYM
ejpam-3951	48	7	eur	eur	PROPN
ejpam-3951	48	8	.	.	PUNCT
ejpam-3951	49	1	j.	j.	PROPN
ejpam-3951	49	2	pure	pure	PROPN
ejpam-3951	49	3	appl	appl	PROPN
ejpam-3951	49	4	.	.	PROPN
ejpam-3951	49	5	math	math	PROPN
ejpam-3951	49	6	,	,	PUNCT
ejpam-3951	49	7	14	14	NUM
ejpam-3951	49	8	(	(	PUNCT
ejpam-3951	49	9	3	3	NUM
ejpam-3951	49	10	)	)	PUNCT
ejpam-3951	49	11	(	(	PUNCT
ejpam-3951	49	12	2021	2021	NUM
ejpam-3951	49	13	)	)	PUNCT
ejpam-3951	49	14	,	,	PUNCT
ejpam-3951	49	15	1057	1057	NUM
ejpam-3951	49	16	-	-	SYM
ejpam-3951	49	17	1081	1081	NUM
ejpam-3951	49	18	1059	1059	NUM
ejpam-3951	49	19	if	if	SCONJ
ejpam-3951	49	20	x	x	PRON
ejpam-3951	49	21	is	be	AUX
ejpam-3951	49	22	a	a	DET
ejpam-3951	49	23	variable	variable	NOUN
ejpam-3951	49	24	modeling	model	VERB
ejpam-3951	49	25	the	the	DET
ejpam-3951	49	26	gain	gain	NOUN
ejpam-3951	49	27	(	(	PUNCT
ejpam-3951	49	28	or	or	CCONJ
ejpam-3951	49	29	loss	loss	NOUN
ejpam-3951	49	30	)	)	PUNCT
ejpam-3951	49	31	with	with	ADP
ejpam-3951	49	32	distribution	distribution	NOUN
ejpam-3951	49	33	f	f	NOUN
ejpam-3951	49	34	then	then	ADV
ejpam-3951	49	35	the	the	DET
ejpam-3951	49	36	var	var	NOUN
ejpam-3951	49	37	at	at	ADP
ejpam-3951	49	38	the	the	DET
ejpam-3951	49	39	threshold	threshold	NOUN
ejpam-3951	49	40	α	α	NOUN
ejpam-3951	49	41	is	be	AUX
ejpam-3951	49	42	defined	define	VERB
ejpam-3951	49	43	by	by	ADP
ejpam-3951	49	44	:	:	PUNCT
ejpam-3951	49	45	v	v	X
ejpam-3951	49	46	arα(x	arα(x	PROPN
ejpam-3951	49	47	)	)	PUNCT
ejpam-3951	49	48	=	=	SYM
ejpam-3951	49	49	inf	inf	NOUN
ejpam-3951	50	1	[	[	X
ejpam-3951	50	2	x	x	X
ejpam-3951	50	3	/	/	SYM
ejpam-3951	50	4	p	p	X
ejpam-3951	50	5	(	(	PUNCT
ejpam-3951	50	6	x	x	X
ejpam-3951	50	7	≥	≥	NUM
ejpam-3951	50	8	x	x	NOUN
ejpam-3951	50	9	)	)	PUNCT
ejpam-3951	50	10	≤	≤	NOUN
ejpam-3951	50	11	α	α	X
ejpam-3951	50	12	]	]	X
ejpam-3951	50	13	=	=	SYM
ejpam-3951	50	14	f−1(α	f−1(α	PROPN
ejpam-3951	50	15	)	)	PUNCT
ejpam-3951	50	16	.	.	PUNCT
ejpam-3951	51	1	(	(	PUNCT
ejpam-3951	51	2	2	2	X
ejpam-3951	51	3	)	)	PUNCT
ejpam-3951	51	4	several	several	ADJ
ejpam-3951	51	5	versions	version	NOUN
ejpam-3951	51	6	of	of	ADP
ejpam-3951	51	7	this	this	DET
ejpam-3951	51	8	measure	measure	NOUN
ejpam-3951	51	9	are	be	AUX
ejpam-3951	51	10	proposed	propose	VERB
ejpam-3951	51	11	in	in	ADP
ejpam-3951	51	12	the	the	DET
ejpam-3951	51	13	multivariate	multivariate	NOUN
ejpam-3951	51	14	framework	framework	NOUN
ejpam-3951	51	15	in	in	ADP
ejpam-3951	51	16	embrechts	embrecht	NOUN
ejpam-3951	51	17	[	[	X
ejpam-3951	51	18	11	11	NUM
ejpam-3951	51	19	]	]	PUNCT
ejpam-3951	51	20	and	and	CCONJ
ejpam-3951	51	21	garcin	garcin	VERB
ejpam-3951	51	22	et	et	PROPN
ejpam-3951	51	23	al.[14	al.[14	PROPN
ejpam-3951	51	24	]	]	PUNCT
ejpam-3951	51	25	.	.	PUNCT
ejpam-3951	52	1	to	to	PART
ejpam-3951	52	2	better	well	ADV
ejpam-3951	52	3	assess	assess	VERB
ejpam-3951	52	4	the	the	DET
ejpam-3951	52	5	risk	risk	NOUN
ejpam-3951	52	6	dynamics	dynamic	NOUN
ejpam-3951	52	7	of	of	ADP
ejpam-3951	52	8	a	a	DET
ejpam-3951	52	9	portfolio	portfolio	NOUN
ejpam-3951	52	10	(	(	PUNCT
ejpam-3951	52	11	the	the	DET
ejpam-3951	52	12	risk	risk	NOUN
ejpam-3951	52	13	linked	link	VERB
ejpam-3951	52	14	to	to	ADP
ejpam-3951	52	15	holding	hold	VERB
ejpam-3951	52	16	the	the	DET
ejpam-3951	52	17	asset	asset	NOUN
ejpam-3951	52	18	portfolio	portfolio	NOUN
ejpam-3951	52	19	,	,	PUNCT
ejpam-3951	52	20	under	under	ADP
ejpam-3951	52	21	various	various	ADJ
ejpam-3951	52	22	conditions	condition	NOUN
ejpam-3951	52	23	and	and	CCONJ
ejpam-3951	52	24	over	over	ADP
ejpam-3951	52	25	time	time	NOUN
ejpam-3951	52	26	)	)	PUNCT
ejpam-3951	52	27	,	,	PUNCT
ejpam-3951	52	28	it	it	PRON
ejpam-3951	52	29	is	be	AUX
ejpam-3951	52	30	often	often	ADV
ejpam-3951	52	31	convenient	convenient	ADJ
ejpam-3951	52	32	to	to	PART
ejpam-3951	52	33	model	model	VERB
ejpam-3951	52	34	the	the	DET
ejpam-3951	52	35	dynamics	dynamic	NOUN
ejpam-3951	52	36	of	of	ADP
ejpam-3951	52	37	assets	asset	NOUN
ejpam-3951	52	38	(	(	PUNCT
ejpam-3951	52	39	and	and	CCONJ
ejpam-3951	52	40	therefore	therefore	ADV
ejpam-3951	52	41	of	of	ADP
ejpam-3951	52	42	the	the	DET
ejpam-3951	52	43	portfolio	portfolio	NOUN
ejpam-3951	52	44	)	)	PUNCT
ejpam-3951	52	45	by	by	ADP
ejpam-3951	52	46	a	a	DET
ejpam-3951	52	47	stochastic	stochastic	ADJ
ejpam-3951	52	48	process	process	NOUN
ejpam-3951	52	49	.	.	PUNCT
ejpam-3951	53	1	the	the	DET
ejpam-3951	53	2	stochastic	stochastic	ADJ
ejpam-3951	53	3	process	process	NOUN
ejpam-3951	53	4	thus	thus	ADV
ejpam-3951	53	5	defined	define	VERB
ejpam-3951	53	6	will	will	AUX
ejpam-3951	53	7	be	be	AUX
ejpam-3951	53	8	assimilated	assimilate	VERB
ejpam-3951	53	9	to	to	ADP
ejpam-3951	53	10	the	the	DET
ejpam-3951	53	11	stochastic	stochastic	ADJ
ejpam-3951	53	12	risk	risk	NOUN
ejpam-3951	53	13	which	which	PRON
ejpam-3951	53	14	we	we	PRON
ejpam-3951	53	15	want	want	VERB
ejpam-3951	53	16	to	to	PART
ejpam-3951	53	17	study	study	VERB
ejpam-3951	53	18	and	and	CCONJ
ejpam-3951	53	19	quantify	quantify	VERB
ejpam-3951	53	20	the	the	DET
ejpam-3951	53	21	magnitude	magnitude	NOUN
ejpam-3951	53	22	of	of	ADP
ejpam-3951	53	23	the	the	DET
ejpam-3951	53	24	danger	danger	NOUN
ejpam-3951	53	25	.	.	PUNCT
ejpam-3951	54	1	the	the	DET
ejpam-3951	54	2	objective	objective	NOUN
ejpam-3951	54	3	of	of	ADP
ejpam-3951	54	4	this	this	DET
ejpam-3951	54	5	article	article	NOUN
ejpam-3951	54	6	is	be	AUX
ejpam-3951	54	7	to	to	PART
ejpam-3951	54	8	investigate	investigate	VERB
ejpam-3951	54	9	,	,	PUNCT
ejpam-3951	54	10	first	first	ADV
ejpam-3951	54	11	,	,	PUNCT
ejpam-3951	54	12	the	the	DET
ejpam-3951	54	13	dependence	dependence	NOUN
ejpam-3951	54	14	structure	structure	NOUN
ejpam-3951	54	15	of	of	ADP
ejpam-3951	54	16	multivariate	multivariate	NOUN
ejpam-3951	54	17	extremal	extremal	ADJ
ejpam-3951	54	18	processes	process	NOUN
ejpam-3951	54	19	.	.	PUNCT
ejpam-3951	55	1	then	then	ADV
ejpam-3951	55	2	,	,	PUNCT
ejpam-3951	55	3	we	we	PRON
ejpam-3951	55	4	introduced	introduce	VERB
ejpam-3951	55	5	a	a	DET
ejpam-3951	55	6	new	new	ADJ
ejpam-3951	55	7	measure	measure	NOUN
ejpam-3951	55	8	of	of	ADP
ejpam-3951	55	9	multivariate	multivariate	NOUN
ejpam-3951	55	10	tails	tail	NOUN
ejpam-3951	55	11	dependences	dependence	NOUN
ejpam-3951	55	12	(	(	PUNCT
ejpam-3951	55	13	lower	low	ADJ
ejpam-3951	55	14	and	and	CCONJ
ejpam-3951	55	15	upper	upper	ADJ
ejpam-3951	55	16	)	)	PUNCT
ejpam-3951	55	17	.	.	PUNCT
ejpam-3951	56	1	many	many	ADJ
ejpam-3951	56	2	interesting	interesting	ADJ
ejpam-3951	56	3	properties	property	NOUN
ejpam-3951	56	4	are	be	AUX
ejpam-3951	56	5	established	establish	VERB
ejpam-3951	56	6	.	.	PUNCT
ejpam-3951	57	1	the	the	DET
ejpam-3951	57	2	rest	rest	NOUN
ejpam-3951	57	3	of	of	ADP
ejpam-3951	57	4	the	the	DET
ejpam-3951	57	5	paper	paper	NOUN
ejpam-3951	57	6	is	be	AUX
ejpam-3951	57	7	organized	organize	VERB
ejpam-3951	57	8	as	as	SCONJ
ejpam-3951	57	9	follows	follow	VERB
ejpam-3951	57	10	:	:	PUNCT
ejpam-3951	57	11	in	in	ADP
ejpam-3951	57	12	section	section	NOUN
ejpam-3951	57	13	2	2	NUM
ejpam-3951	57	14	,	,	PUNCT
ejpam-3951	57	15	the	the	DET
ejpam-3951	57	16	essentiels	essentiel	NOUN
ejpam-3951	57	17	concepts	concept	NOUN
ejpam-3951	57	18	to	to	ADP
ejpam-3951	57	19	the	the	DET
ejpam-3951	57	20	study	study	NOUN
ejpam-3951	57	21	are	be	AUX
ejpam-3951	57	22	recalled	recall	VERB
ejpam-3951	57	23	and	and	CCONJ
ejpam-3951	57	24	in	in	ADP
ejpam-3951	57	25	section	section	NOUN
ejpam-3951	57	26	3	3	NUM
ejpam-3951	57	27	the	the	DET
ejpam-3951	57	28	main	main	ADJ
ejpam-3951	57	29	results	result	NOUN
ejpam-3951	57	30	obtained	obtain	VERB
ejpam-3951	57	31	are	be	AUX
ejpam-3951	57	32	presented	present	VERB
ejpam-3951	57	33	and	and	CCONJ
ejpam-3951	57	34	section	section	NOUN
ejpam-3951	57	35	4	4	NUM
ejpam-3951	57	36	we	we	PRON
ejpam-3951	57	37	give	give	VERB
ejpam-3951	57	38	a	a	DET
ejpam-3951	57	39	conclusion	conclusion	NOUN
ejpam-3951	57	40	and	and	CCONJ
ejpam-3951	57	41	discussion	discussion	NOUN
ejpam-3951	57	42	.	.	PUNCT
ejpam-3951	58	1	2	2	X
ejpam-3951	58	2	.	.	X
ejpam-3951	58	3	preliminaries	preliminary	NOUN
ejpam-3951	58	4	in	in	ADP
ejpam-3951	58	5	this	this	DET
ejpam-3951	58	6	section	section	NOUN
ejpam-3951	58	7	,	,	PUNCT
ejpam-3951	58	8	we	we	PRON
ejpam-3951	58	9	collect	collect	VERB
ejpam-3951	58	10	essentials	essential	NOUN
ejpam-3951	58	11	notions	notion	NOUN
ejpam-3951	58	12	,	,	PUNCT
ejpam-3951	58	13	definitions	definition	NOUN
ejpam-3951	58	14	and	and	CCONJ
ejpam-3951	58	15	properties	property	NOUN
ejpam-3951	58	16	on	on	ADP
ejpam-3951	58	17	copulas	copula	NOUN
ejpam-3951	58	18	,	,	PUNCT
ejpam-3951	58	19	tail	tail	NOUN
ejpam-3951	58	20	dependence	dependence	NOUN
ejpam-3951	58	21	coefficients	coefficient	NOUN
ejpam-3951	58	22	and	and	CCONJ
ejpam-3951	58	23	extremal	extremal	ADJ
ejpam-3951	58	24	processes	process	NOUN
ejpam-3951	58	25	,	,	PUNCT
ejpam-3951	58	26	which	which	PRON
ejpam-3951	58	27	will	will	AUX
ejpam-3951	58	28	be	be	AUX
ejpam-3951	58	29	necessary	necessary	ADJ
ejpam-3951	58	30	for	for	ADP
ejpam-3951	58	31	our	our	PRON
ejpam-3951	58	32	approach	approach	NOUN
ejpam-3951	58	33	.	.	PUNCT
ejpam-3951	59	1	for	for	ADP
ejpam-3951	59	2	more	more	ADJ
ejpam-3951	59	3	details	detail	NOUN
ejpam-3951	59	4	,	,	PUNCT
ejpam-3951	59	5	the	the	DET
ejpam-3951	59	6	reader	reader	NOUN
ejpam-3951	59	7	are	be	AUX
ejpam-3951	59	8	refered	refer	VERB
ejpam-3951	59	9	to	to	ADP
ejpam-3951	59	10	authors	author	NOUN
ejpam-3951	59	11	such	such	ADJ
ejpam-3951	59	12	as	as	ADP
ejpam-3951	59	13	schimitz	schimitz	NOUN
ejpam-3951	59	14	[	[	X
ejpam-3951	59	15	20	20	NUM
ejpam-3951	59	16	]	]	PUNCT
ejpam-3951	59	17	which	which	PRON
ejpam-3951	59	18	offers	offer	VERB
ejpam-3951	59	19	a	a	DET
ejpam-3951	59	20	well	well	ADV
ejpam-3951	59	21	-	-	PUNCT
ejpam-3951	59	22	developed	develop	VERB
ejpam-3951	59	23	framework	framework	NOUN
ejpam-3951	59	24	for	for	ADP
ejpam-3951	59	25	the	the	DET
ejpam-3951	59	26	analysis	analysis	NOUN
ejpam-3951	59	27	of	of	ADP
ejpam-3951	59	28	stochastic	stochastic	ADJ
ejpam-3951	59	29	processes	process	NOUN
ejpam-3951	59	30	by	by	ADP
ejpam-3951	59	31	copulas	copula	NOUN
ejpam-3951	59	32	or	or	CCONJ
ejpam-3951	59	33	nelsen	nelsen	NOUN
ejpam-3951	60	1	[	[	X
ejpam-3951	60	2	18	18	NUM
ejpam-3951	60	3	]	]	PUNCT
ejpam-3951	60	4	who	who	PRON
ejpam-3951	60	5	gave	give	VERB
ejpam-3951	60	6	an	an	DET
ejpam-3951	60	7	introduction	introduction	NOUN
ejpam-3951	60	8	to	to	ADP
ejpam-3951	60	9	copulas	copula	NOUN
ejpam-3951	60	10	and	and	CCONJ
ejpam-3951	60	11	their	their	PRON
ejpam-3951	60	12	statistical	statistical	ADJ
ejpam-3951	60	13	and	and	CCONJ
ejpam-3951	60	14	mathematical	mathematical	ADJ
ejpam-3951	60	15	foundations	foundation	NOUN
ejpam-3951	60	16	.	.	PUNCT
ejpam-3951	61	1	2.1	2.1	NUM
ejpam-3951	61	2	.	.	PUNCT
ejpam-3951	61	3	survey	survey	NOUN
ejpam-3951	61	4	of	of	ADP
ejpam-3951	61	5	copulas	copula	NOUN
ejpam-3951	61	6	of	of	ADP
ejpam-3951	61	7	multivariate	multivariate	NOUN
ejpam-3951	61	8	processes	process	NOUN
ejpam-3951	61	9	copulas	copula	NOUN
ejpam-3951	61	10	provide	provide	VERB
ejpam-3951	61	11	a	a	DET
ejpam-3951	61	12	natural	natural	ADJ
ejpam-3951	61	13	way	way	NOUN
ejpam-3951	61	14	to	to	PART
ejpam-3951	61	15	construct	construct	VERB
ejpam-3951	61	16	multivariate	multivariate	NOUN
ejpam-3951	61	17	distribtutions	distribtution	NOUN
ejpam-3951	61	18	whose	whose	DET
ejpam-3951	61	19	marginals	marginal	NOUN
ejpam-3951	61	20	are	be	AUX
ejpam-3951	61	21	uniform	uniform	ADJ
ejpam-3951	61	22	and	and	CCONJ
ejpam-3951	61	23	not	not	PART
ejpam-3951	61	24	necessarily	necessarily	ADV
ejpam-3951	61	25	exchangeable	exchangeable	ADJ
ejpam-3951	61	26	.	.	PUNCT
ejpam-3951	62	1	definition	definition	NOUN
ejpam-3951	62	2	1	1	NUM
ejpam-3951	62	3	.	.	PUNCT
ejpam-3951	63	1	[	[	X
ejpam-3951	63	2	19	19	NUM
ejpam-3951	63	3	]	]	X
ejpam-3951	63	4	let	let	VERB
ejpam-3951	63	5	x	x	SYM
ejpam-3951	63	6	=	=	SYM
ejpam-3951	63	7	(	(	PUNCT
ejpam-3951	63	8	x1	x1	PROPN
ejpam-3951	63	9	,	,	PUNCT
ejpam-3951	63	10	...	...	PUNCT
ejpam-3951	63	11	,	,	PUNCT
ejpam-3951	63	12	xn	xn	X
ejpam-3951	63	13	)	)	PUNCT
ejpam-3951	63	14	be	be	VERB
ejpam-3951	63	15	a	a	DET
ejpam-3951	63	16	random	random	ADJ
ejpam-3951	63	17	vector	vector	NOUN
ejpam-3951	63	18	with	with	ADP
ejpam-3951	63	19	multivariate	multivariate	NOUN
ejpam-3951	63	20	continuous	continuous	ADJ
ejpam-3951	63	21	distribution	distribution	NOUN
ejpam-3951	63	22	function	function	NOUN
ejpam-3951	63	23	(	(	PUNCT
ejpam-3951	63	24	c.d.f	c.d.f	NOUN
ejpam-3951	63	25	.	.	PUNCT
ejpam-3951	63	26	)	)	PUNCT
ejpam-3951	64	1	f	f	PROPN
ejpam-3951	64	2	and	and	CCONJ
ejpam-3951	64	3	c.d.f	c.d.f	ADJ
ejpam-3951	64	4	marginal	marginal	ADJ
ejpam-3951	64	5	f1	f1	NOUN
ejpam-3951	64	6	,	,	PUNCT
ejpam-3951	64	7	...	...	PUNCT
ejpam-3951	64	8	,	,	PUNCT
ejpam-3951	64	9	fn	fn	X
ejpam-3951	64	10	.	.	PUNCT
ejpam-3951	65	1	the	the	DET
ejpam-3951	65	2	copula	copula	NOUN
ejpam-3951	65	3	of	of	ADP
ejpam-3951	65	4	x	x	PUNCT
ejpam-3951	65	5	(	(	PUNCT
ejpam-3951	65	6	or	or	CCONJ
ejpam-3951	65	7	the	the	DET
ejpam-3951	65	8	c.d.f	c.d.f	NOUN
ejpam-3951	65	9	.	.	PUNCT
ejpam-3951	66	1	f	f	PROPN
ejpam-3951	66	2	respectively	respectively	ADV
ejpam-3951	66	3	)	)	PUNCT
ejpam-3951	66	4	is	be	AUX
ejpam-3951	66	5	the	the	DET
ejpam-3951	66	6	multivariate	multivariate	NOUN
ejpam-3951	66	7	c.d.f	c.d.f	NOUN
ejpam-3951	66	8	.	.	PUNCT
ejpam-3951	67	1	c	c	NOUN
ejpam-3951	67	2	of	of	ADP
ejpam-3951	67	3	the	the	DET
ejpam-3951	67	4	random	random	ADJ
ejpam-3951	67	5	vector	vector	NOUN
ejpam-3951	67	6	u	u	NOUN
ejpam-3951	67	7	=	=	PUNCT
ejpam-3951	68	1	[	[	X
ejpam-3951	68	2	f1(x1	f1(x1	NOUN
ejpam-3951	68	3	)	)	PUNCT
ejpam-3951	68	4	,	,	PUNCT
ejpam-3951	68	5	...	...	PUNCT
ejpam-3951	68	6	,	,	PUNCT
ejpam-3951	68	7	fn(xn	fn(xn	PROPN
ejpam-3951	68	8	)	)	PUNCT
ejpam-3951	68	9	]	]	PUNCT
ejpam-3951	68	10	.	.	PUNCT
ejpam-3951	69	1	due	due	ADP
ejpam-3951	69	2	to	to	ADP
ejpam-3951	69	3	the	the	DET
ejpam-3951	69	4	continuity	continuity	NOUN
ejpam-3951	69	5	of	of	ADP
ejpam-3951	69	6	{	{	PUNCT
ejpam-3951	69	7	fi	fi	NOUN
ejpam-3951	69	8	,	,	PUNCT
ejpam-3951	69	9	1	1	NUM
ejpam-3951	69	10	≤	≤	NUM
ejpam-3951	69	11	i	i	PRON
ejpam-3951	69	12	≤	≤	NOUN
ejpam-3951	69	13	n	n	CCONJ
ejpam-3951	69	14	}	}	PUNCT
ejpam-3951	69	15	,	,	PUNCT
ejpam-3951	69	16	each	each	DET
ejpam-3951	69	17	component	component	NOUN
ejpam-3951	69	18	of	of	ADP
ejpam-3951	69	19	u	u	NOUN
ejpam-3951	69	20	is	be	AUX
ejpam-3951	69	21	standard	standard	ADJ
ejpam-3951	69	22	uniformly	uniformly	ADV
ejpam-3951	69	23	distributed	distribute	VERB
ejpam-3951	69	24	,	,	PUNCT
ejpam-3951	69	25	i.e.	i.e.	X
ejpam-3951	69	26	,	,	PUNCT
ejpam-3951	69	27	ui	ui	PROPN
ejpam-3951	69	28	v	v	NUM
ejpam-3951	69	29	u(0	u(0	PROPN
ejpam-3951	69	30	,	,	PUNCT
ejpam-3951	69	31	1	1	NUM
ejpam-3951	69	32	)	)	PUNCT
ejpam-3951	69	33	for	for	ADP
ejpam-3951	69	34	i	i	PROPN
ejpam-3951	69	35	=	=	NOUN
ejpam-3951	69	36	1	1	NUM
ejpam-3951	69	37	,	,	PUNCT
ejpam-3951	69	38	...	...	PUNCT
ejpam-3951	69	39	,	,	PUNCT
ejpam-3951	69	40	n.	n.	PROPN
ejpam-3951	69	41	particularly	particularly	ADV
ejpam-3951	69	42	,	,	PUNCT
ejpam-3951	69	43	every	every	DET
ejpam-3951	69	44	n	n	CCONJ
ejpam-3951	69	45	-	-	PUNCT
ejpam-3951	69	46	copula	copula	NOUN
ejpam-3951	69	47	must	must	AUX
ejpam-3951	69	48	satisfy	satisfy	VERB
ejpam-3951	69	49	the	the	DET
ejpam-3951	69	50	n	n	ADV
ejpam-3951	69	51	-	-	PUNCT
ejpam-3951	69	52	increasing	increase	VERB
ejpam-3951	69	53	property	property	NOUN
ejpam-3951	69	54	.	.	PUNCT
ejpam-3951	70	1	that	that	PRON
ejpam-3951	70	2	means	mean	VERB
ejpam-3951	70	3	that	that	SCONJ
ejpam-3951	70	4	,	,	PUNCT
ejpam-3951	70	5	for	for	ADP
ejpam-3951	70	6	any	any	DET
ejpam-3951	70	7	rectangle	rectangle	NOUN
ejpam-3951	70	8	b	b	NOUN
ejpam-3951	71	1	=	=	PUNCT
ejpam-3951	72	1	[	[	X
ejpam-3951	72	2	a	a	PRON
ejpam-3951	72	3	,	,	PUNCT
ejpam-3951	72	4	b]n	b]n	ADP
ejpam-3951	72	5	⊆	⊆	NUM
ejpam-3951	72	6	rn	rn	PROPN
ejpam-3951	72	7	,	,	PUNCT
ejpam-3951	72	8	the	the	DET
ejpam-3951	72	9	b	b	NOUN
ejpam-3951	72	10	-	-	PUNCT
ejpam-3951	72	11	volume	volume	NOUN
ejpam-3951	72	12	cb	cb	PROPN
ejpam-3951	72	13	of	of	ADP
ejpam-3951	72	14	c	c	PROPN
ejpam-3951	72	15	is	be	AUX
ejpam-3951	72	16	positive	positive	ADJ
ejpam-3951	72	17	,	,	PUNCT
ejpam-3951	72	18	that	that	ADV
ejpam-3951	72	19	is	is	ADV
ejpam-3951	72	20	,	,	PUNCT
ejpam-3951	72	21	cb	cb	PROPN
ejpam-3951	72	22	=	=	SYM
ejpam-3951	72	23	∫	∫	PROPN
ejpam-3951	72	24	b	b	PROPN
ejpam-3951	72	25	dc	dc	PROPN
ejpam-3951	72	26	(	(	PUNCT
ejpam-3951	72	27	u	u	NOUN
ejpam-3951	72	28	)	)	PUNCT
ejpam-3951	72	29	=	=	SYM
ejpam-3951	73	1	2∑	2∑	NUM
ejpam-3951	73	2	i1=1	i1=1	PROPN
ejpam-3951	73	3	...	...	PUNCT
ejpam-3951	74	1	2∑	2∑	X
ejpam-3951	74	2	in=1	in=1	NOUN
ejpam-3951	74	3	(	(	PUNCT
ejpam-3951	74	4	−1)i1+	−1)i1+	ADJ
ejpam-3951	74	5	...	...	PUNCT
ejpam-3951	74	6	+in	+in	ADJ
ejpam-3951	75	1	c	c	NOUN
ejpam-3951	75	2	(	(	PUNCT
ejpam-3951	75	3	u1,i1	u1,i1	PROPN
ejpam-3951	75	4	;	;	PUNCT
ejpam-3951	75	5	...	...	PUNCT
ejpam-3951	75	6	;	;	PUNCT
ejpam-3951	75	7	u1,in	u1,in	PROPN
ejpam-3951	75	8	)	)	PUNCT
ejpam-3951	75	9	≥	≥	NOUN
ejpam-3951	75	10	0	0	NUM
ejpam-3951	75	11	.	.	PUNCT
ejpam-3951	76	1	(	(	PUNCT
ejpam-3951	76	2	3	3	X
ejpam-3951	76	3	)	)	PUNCT
ejpam-3951	76	4	d.	d.	PROPN
ejpam-3951	76	5	barro	barro	PROPN
ejpam-3951	76	6	et	et	PROPN
ejpam-3951	76	7	al	al	PROPN
ejpam-3951	76	8	.	.	PUNCT
ejpam-3951	76	9	/	/	SYM
ejpam-3951	76	10	eur	eur	PROPN
ejpam-3951	76	11	.	.	PUNCT
ejpam-3951	77	1	j.	j.	PROPN
ejpam-3951	77	2	pure	pure	PROPN
ejpam-3951	77	3	appl	appl	PROPN
ejpam-3951	77	4	.	.	PROPN
ejpam-3951	77	5	math	math	PROPN
ejpam-3951	77	6	,	,	PUNCT
ejpam-3951	77	7	14	14	NUM
ejpam-3951	77	8	(	(	PUNCT
ejpam-3951	77	9	3	3	NUM
ejpam-3951	77	10	)	)	PUNCT
ejpam-3951	77	11	(	(	PUNCT
ejpam-3951	77	12	2021	2021	NUM
ejpam-3951	77	13	)	)	PUNCT
ejpam-3951	77	14	,	,	PUNCT
ejpam-3951	77	15	1057	1057	NUM
ejpam-3951	77	16	-	-	SYM
ejpam-3951	77	17	1081	1081	NUM
ejpam-3951	77	18	1060	1060	NUM
ejpam-3951	77	19	for	for	ADP
ejpam-3951	77	20	all	all	PRON
ejpam-3951	77	21	(	(	PUNCT
ejpam-3951	77	22	u1,1	u1,1	ADJ
ejpam-3951	77	23	;	;	PUNCT
ejpam-3951	77	24	...	...	PUNCT
ejpam-3951	77	25	;	;	PUNCT
ejpam-3951	77	26	un,1	un,1	PROPN
ejpam-3951	77	27	)	)	PUNCT
ejpam-3951	77	28	and	and	CCONJ
ejpam-3951	77	29	(	(	PUNCT
ejpam-3951	77	30	u1,2	u1,2	ADJ
ejpam-3951	77	31	;	;	PUNCT
ejpam-3951	77	32	...	...	PUNCT
ejpam-3951	77	33	;	;	PUNCT
ejpam-3951	77	34	un,2	un,2	ADJ
ejpam-3951	77	35	)	)	PUNCT
ejpam-3951	77	36	∈	∈	PROPN
ejpam-3951	78	1	[	[	X
ejpam-3951	78	2	0	0	NUM
ejpam-3951	78	3	,	,	PUNCT
ejpam-3951	78	4	1]n	1]n	NUM
ejpam-3951	78	5	with	with	ADP
ejpam-3951	78	6	ui,1	ui,1	PROPN
ejpam-3951	78	7	≤	≤	PROPN
ejpam-3951	78	8	ui,2	ui,2	PROPN
ejpam-3951	78	9	,	,	PUNCT
ejpam-3951	78	10	for	for	ADP
ejpam-3951	78	11	i	i	PROPN
ejpam-3951	78	12	=	=	NOUN
ejpam-3951	78	13	1	1	NUM
ejpam-3951	78	14	,	,	PUNCT
ejpam-3951	78	15	...	...	PUNCT
ejpam-3951	78	16	,	,	PUNCT
ejpam-3951	78	17	n.	n.	PROPN
ejpam-3951	78	18	moreover	moreover	ADV
ejpam-3951	78	19	,	,	PUNCT
ejpam-3951	78	20	from	from	ADP
ejpam-3951	78	21	definition	definition	NOUN
ejpam-3951	78	22	1	1	NUM
ejpam-3951	78	23	,	,	PUNCT
ejpam-3951	78	24	it	it	PRON
ejpam-3951	78	25	yields	yield	VERB
ejpam-3951	78	26	the	the	DET
ejpam-3951	78	27	following	follow	VERB
ejpam-3951	78	28	parameterization	parameterization	NOUN
ejpam-3951	78	29	of	of	ADP
ejpam-3951	78	30	f	f	PROPN
ejpam-3951	78	31	(	(	PUNCT
ejpam-3951	78	32	see	see	VERB
ejpam-3951	78	33	[	[	X
ejpam-3951	78	34	4	4	X
ejpam-3951	78	35	]	]	PUNCT
ejpam-3951	78	36	and	and	CCONJ
ejpam-3951	78	37	[	[	X
ejpam-3951	78	38	20	20	NUM
ejpam-3951	78	39	]	]	NUM
ejpam-3951	78	40	)	)	PUNCT
ejpam-3951	78	41	,	,	PUNCT
ejpam-3951	78	42	for	for	ADP
ejpam-3951	78	43	(	(	PUNCT
ejpam-3951	78	44	x1	x1	PROPN
ejpam-3951	78	45	,	,	PUNCT
ejpam-3951	78	46	...	...	PUNCT
ejpam-3951	78	47	,	,	PUNCT
ejpam-3951	78	48	xn	xn	X
ejpam-3951	78	49	)	)	PUNCT
ejpam-3951	78	50	∈	∈	PROPN
ejpam-3951	78	51	r̄n	r̄n	NOUN
ejpam-3951	78	52	(	(	PUNCT
ejpam-3951	78	53	where	where	SCONJ
ejpam-3951	78	54	r̄	r̄	NOUN
ejpam-3951	78	55	=	=	PUNCT
ejpam-3951	79	1	[	[	X
ejpam-3951	79	2	−∞,+∞	−∞,+∞	NUM
ejpam-3951	79	3	]	]	PUNCT
ejpam-3951	79	4	)	)	PUNCT
ejpam-3951	79	5	f	f	PROPN
ejpam-3951	79	6	(	(	PUNCT
ejpam-3951	79	7	x1	x1	PROPN
ejpam-3951	79	8	,	,	PUNCT
ejpam-3951	79	9	...	...	PUNCT
ejpam-3951	79	10	,	,	PUNCT
ejpam-3951	79	11	xn	xn	PROPN
ejpam-3951	79	12	)	)	PUNCT
ejpam-3951	80	1	=	=	PUNCT
ejpam-3951	80	2	c	c	NOUN
ejpam-3951	81	1	[	[	X
ejpam-3951	81	2	f1(x1	f1(x1	NOUN
ejpam-3951	81	3	)	)	PUNCT
ejpam-3951	81	4	,	,	PUNCT
ejpam-3951	81	5	...	...	PUNCT
ejpam-3951	81	6	,	,	PUNCT
ejpam-3951	81	7	fn(xn	fn(xn	PROPN
ejpam-3951	81	8	)	)	PUNCT
ejpam-3951	81	9	]	]	PUNCT
ejpam-3951	81	10	.	.	PUNCT
ejpam-3951	82	1	(	(	PUNCT
ejpam-3951	82	2	4	4	X
ejpam-3951	82	3	)	)	PUNCT
ejpam-3951	82	4	this	this	DET
ejpam-3951	82	5	result	result	NOUN
ejpam-3951	82	6	makes	make	VERB
ejpam-3951	82	7	possible	possible	ADJ
ejpam-3951	82	8	to	to	PART
ejpam-3951	82	9	join	join	VERB
ejpam-3951	82	10	the	the	DET
ejpam-3951	82	11	marginal	marginal	NOUN
ejpam-3951	82	12	to	to	ADP
ejpam-3951	82	13	the	the	DET
ejpam-3951	82	14	multivariate	multivariate	NOUN
ejpam-3951	82	15	joint	joint	ADJ
ejpam-3951	82	16	distribution	distribution	NOUN
ejpam-3951	82	17	.	.	PUNCT
ejpam-3951	83	1	especially	especially	ADV
ejpam-3951	83	2	in	in	ADP
ejpam-3951	83	3	the	the	DET
ejpam-3951	83	4	survival	survival	NOUN
ejpam-3951	83	5	analysis	analysis	NOUN
ejpam-3951	83	6	(	(	PUNCT
ejpam-3951	83	7	finance	finance	NOUN
ejpam-3951	83	8	or	or	CCONJ
ejpam-3951	83	9	biostatistics	biostatistic	NOUN
ejpam-3951	83	10	)	)	PUNCT
ejpam-3951	83	11	the	the	DET
ejpam-3951	83	12	above	above	ADJ
ejpam-3951	83	13	relation	relation	NOUN
ejpam-3951	83	14	,	,	PUNCT
ejpam-3951	83	15	gives	give	VERB
ejpam-3951	83	16	the	the	DET
ejpam-3951	83	17	survival	survival	NOUN
ejpam-3951	83	18	copula	copula	NOUN
ejpam-3951	83	19	in	in	ADP
ejpam-3951	83	20	function	function	NOUN
ejpam-3951	83	21	of	of	ADP
ejpam-3951	83	22	the	the	DET
ejpam-3951	83	23	survival	survival	NOUN
ejpam-3951	83	24	law	law	PROPN
ejpam-3951	83	25	f̄	f̄	PROPN
ejpam-3951	83	26	of	of	ADP
ejpam-3951	83	27	f	f	PROPN
ejpam-3951	83	28	by	by	ADP
ejpam-3951	83	29	:	:	PUNCT
ejpam-3951	83	30	c̄(f̄1(x1	c̄(f̄1(x1	PROPN
ejpam-3951	83	31	)	)	PUNCT
ejpam-3951	83	32	,	,	PUNCT
ejpam-3951	83	33	...	...	PUNCT
ejpam-3951	83	34	,	,	PUNCT
ejpam-3951	83	35	f̄n(xn	f̄n(xn	NOUN
ejpam-3951	83	36	)	)	PUNCT
ejpam-3951	83	37	)	)	PUNCT
ejpam-3951	84	1	=	=	PRON
ejpam-3951	84	2	f̄	f̄	PROPN
ejpam-3951	84	3	(	(	PUNCT
ejpam-3951	84	4	x1	x1	PROPN
ejpam-3951	84	5	,	,	PUNCT
ejpam-3951	84	6	...	...	PUNCT
ejpam-3951	84	7	,	,	PUNCT
ejpam-3951	84	8	xn	xn	PROPN
ejpam-3951	84	9	)	)	PUNCT
ejpam-3951	84	10	.	.	PUNCT
ejpam-3951	85	1	(	(	PUNCT
ejpam-3951	85	2	5	5	X
ejpam-3951	85	3	)	)	PUNCT
ejpam-3951	85	4	the	the	DET
ejpam-3951	85	5	survival	survival	NOUN
ejpam-3951	85	6	copula	copula	NOUN
ejpam-3951	85	7	c̄	c̄	PROPN
ejpam-3951	85	8	is	be	AUX
ejpam-3951	85	9	linked	link	VERB
ejpam-3951	85	10	to	to	ADP
ejpam-3951	85	11	the	the	DET
ejpam-3951	85	12	copula	copula	NOUN
ejpam-3951	85	13	c	c	NOUN
ejpam-3951	85	14	,	,	PUNCT
ejpam-3951	85	15	for	for	ADP
ejpam-3951	85	16	all	all	DET
ejpam-3951	85	17	(	(	PUNCT
ejpam-3951	85	18	u1	u1	NOUN
ejpam-3951	85	19	,	,	PUNCT
ejpam-3951	85	20	...	...	PUNCT
ejpam-3951	85	21	,	,	PUNCT
ejpam-3951	85	22	un	un	PROPN
ejpam-3951	85	23	)	)	PUNCT
ejpam-3951	85	24	∈	∈	PROPN
ejpam-3951	86	1	[	[	X
ejpam-3951	86	2	0	0	NUM
ejpam-3951	86	3	,	,	PUNCT
ejpam-3951	86	4	1]n	1]n	NUM
ejpam-3951	86	5	,	,	PUNCT
ejpam-3951	86	6	by	by	ADP
ejpam-3951	86	7	:	:	PUNCT
ejpam-3951	86	8	c̄(u1	c̄(u1	NOUN
ejpam-3951	86	9	,	,	PUNCT
ejpam-3951	86	10	u2	u2	PROPN
ejpam-3951	86	11	,	,	PUNCT
ejpam-3951	86	12	...	...	PUNCT
ejpam-3951	86	13	,	,	PUNCT
ejpam-3951	86	14	un	un	PROPN
ejpam-3951	86	15	)	)	PUNCT
ejpam-3951	86	16	=	=	SYM
ejpam-3951	86	17	∑	∑	PROPN
ejpam-3951	86	18	m⊂n	m⊂n	NOUN
ejpam-3951	86	19	(	(	PUNCT
ejpam-3951	86	20	−1)mc	−1)mc	PROPN
ejpam-3951	86	21	[	[	PUNCT
ejpam-3951	86	22	(	(	PUNCT
ejpam-3951	86	23	1−	1−	NUM
ejpam-3951	86	24	u1)11∈m	u1)11∈m	NOUN
ejpam-3951	86	25	,	,	PUNCT
ejpam-3951	86	26	(	(	PUNCT
ejpam-3951	86	27	1−	1−	NUM
ejpam-3951	86	28	u2)12∈m	u2)12∈m	NOUN
ejpam-3951	86	29	,	,	PUNCT
ejpam-3951	86	30	...	...	PUNCT
ejpam-3951	86	31	,	,	PUNCT
ejpam-3951	86	32	(	(	PUNCT
ejpam-3951	86	33	1−	1−	NUM
ejpam-3951	86	34	un)1n∈m	un)1n∈m	NOUN
ejpam-3951	86	35	]	]	X
ejpam-3951	86	36	;	;	PUNCT
ejpam-3951	86	37	(	(	PUNCT
ejpam-3951	86	38	6	6	X
ejpam-3951	86	39	)	)	PUNCT
ejpam-3951	86	40	where	where	SCONJ
ejpam-3951	86	41	n	n	ADV
ejpam-3951	86	42	=	=	SYM
ejpam-3951	86	43	{	{	PUNCT
ejpam-3951	86	44	1	1	NUM
ejpam-3951	86	45	,	,	PUNCT
ejpam-3951	86	46	2	2	NUM
ejpam-3951	86	47	,	,	PUNCT
ejpam-3951	86	48	...	...	PUNCT
ejpam-3951	86	49	,	,	PUNCT
ejpam-3951	86	50	n	n	CCONJ
ejpam-3951	86	51	}	}	PUNCT
ejpam-3951	86	52	,	,	PUNCT
ejpam-3951	86	53	m	m	VERB
ejpam-3951	86	54	=	=	NOUN
ejpam-3951	86	55	|m	|m	NOUN
ejpam-3951	86	56	|	|	ADV
ejpam-3951	86	57	is	be	AUX
ejpam-3951	86	58	the	the	DET
ejpam-3951	86	59	cardinal	cardinal	ADJ
ejpam-3951	86	60	number	number	NOUN
ejpam-3951	86	61	of	of	ADP
ejpam-3951	86	62	m	m	PROPN
ejpam-3951	86	63	,	,	PUNCT
ejpam-3951	86	64	and	and	CCONJ
ejpam-3951	86	65	1i	1i	NOUN
ejpam-3951	86	66	∈	∈	NOUN
ejpam-3951	86	67	m	m	VERB
ejpam-3951	86	68	indicates	indicate	VERB
ejpam-3951	86	69	the	the	DET
ejpam-3951	86	70	appartenence	appartenence	NOUN
ejpam-3951	86	71	of	of	ADP
ejpam-3951	86	72	i	i	PRON
ejpam-3951	86	73	to	to	ADP
ejpam-3951	86	74	m	m	PROPN
ejpam-3951	86	75	.	.	PUNCT
ejpam-3951	87	1	a	a	DET
ejpam-3951	87	2	n	n	ADV
ejpam-3951	87	3	-	-	PUNCT
ejpam-3951	87	4	dimensional	dimensional	ADJ
ejpam-3951	87	5	stochastic	stochastic	ADJ
ejpam-3951	87	6	process	process	NOUN
ejpam-3951	87	7	being	be	AUX
ejpam-3951	87	8	a	a	DET
ejpam-3951	87	9	collection	collection	NOUN
ejpam-3951	87	10	of	of	ADP
ejpam-3951	87	11	random	random	ADJ
ejpam-3951	87	12	variables	variable	NOUN
ejpam-3951	87	13	xt	xt	ADP
ejpam-3951	87	14	;	;	PUNCT
ejpam-3951	87	15	t	t	PROPN
ejpam-3951	87	16	∈	∈	PROPN
ejpam-3951	87	17	t	t	PROPN
ejpam-3951	87	18	defined	define	VERB
ejpam-3951	87	19	on	on	ADP
ejpam-3951	87	20	a	a	DET
ejpam-3951	87	21	probability	probability	NOUN
ejpam-3951	87	22	space	space	NOUN
ejpam-3951	87	23	(	(	PUNCT
ejpam-3951	87	24	ω	ω	PROPN
ejpam-3951	87	25	,	,	PUNCT
ejpam-3951	87	26	f	f	PROPN
ejpam-3951	87	27	,	,	PUNCT
ejpam-3951	87	28	p	p	NOUN
ejpam-3951	87	29	)	)	PUNCT
ejpam-3951	87	30	and	and	CCONJ
ejpam-3951	87	31	taking	take	VERB
ejpam-3951	87	32	values	value	NOUN
ejpam-3951	87	33	in	in	ADP
ejpam-3951	87	34	rd	rd	PROPN
ejpam-3951	87	35	,	,	PUNCT
ejpam-3951	87	36	n	n	PROPN
ejpam-3951	87	37	∈	∈	PROPN
ejpam-3951	87	38	n	n	CCONJ
ejpam-3951	87	39	,	,	PUNCT
ejpam-3951	87	40	where	where	SCONJ
ejpam-3951	87	41	t	t	PROPN
ejpam-3951	87	42	is	be	AUX
ejpam-3951	87	43	the	the	DET
ejpam-3951	87	44	set	set	NOUN
ejpam-3951	87	45	of	of	ADP
ejpam-3951	87	46	the	the	DET
ejpam-3951	87	47	parameters	parameter	NOUN
ejpam-3951	87	48	(	(	PUNCT
ejpam-3951	87	49	space	space	NOUN
ejpam-3951	87	50	or	or	CCONJ
ejpam-3951	87	51	time	time	NOUN
ejpam-3951	87	52	)	)	PUNCT
ejpam-3951	87	53	.	.	PUNCT
ejpam-3951	88	1	let	let	VERB
ejpam-3951	88	2	c	c	NOUN
ejpam-3951	88	3	=	=	PRON
ejpam-3951	88	4	{	{	PUNCT
ejpam-3951	88	5	ct1,	ct1,	PROPN
ejpam-3951	88	6	...	...	PUNCT
ejpam-3951	88	7	,tn	,tn	PUNCT
ejpam-3951	88	8	;	;	PUNCT
ejpam-3951	88	9	t1	t1	NOUN
ejpam-3951	88	10	<	<	X
ejpam-3951	88	11	...	...	PUNCT
ejpam-3951	88	12	<	<	X
ejpam-3951	88	13	tn	tn	PROPN
ejpam-3951	88	14	,	,	PUNCT
ejpam-3951	88	15	n	n	PROPN
ejpam-3951	88	16	∈	∈	PROPN
ejpam-3951	88	17	n	n	CCONJ
ejpam-3951	88	18	}	}	PUNCT
ejpam-3951	88	19	is	be	AUX
ejpam-3951	88	20	a	a	DET
ejpam-3951	88	21	collection	collection	NOUN
ejpam-3951	88	22	of	of	ADP
ejpam-3951	88	23	copulas	copula	NOUN
ejpam-3951	88	24	of	of	ADP
ejpam-3951	88	25	stochastic	stochastic	ADJ
ejpam-3951	88	26	process	process	NOUN
ejpam-3951	88	27	.	.	PUNCT
ejpam-3951	89	1	satisfying	satisfy	VERB
ejpam-3951	89	2	the	the	DET
ejpam-3951	89	3	consistency	consistency	NOUN
ejpam-3951	89	4	condition	condition	NOUN
ejpam-3951	89	5	lim	lim	PROPN
ejpam-3951	89	6	uk→1−	uk→1−	PROPN
ejpam-3951	89	7	ct	ct	NUM
ejpam-3951	89	8	1,	1,	NUM
ejpam-3951	89	9	...	...	PUNCT
ejpam-3951	89	10	,t	,t	PUNCT
ejpam-3951	89	11	n	n	PROPN
ejpam-3951	89	12	(	(	PUNCT
ejpam-3951	89	13	u1	u1	PROPN
ejpam-3951	89	14	,	,	PUNCT
ejpam-3951	89	15	...	...	PUNCT
ejpam-3951	89	16	,	,	PUNCT
ejpam-3951	89	17	un	un	PROPN
ejpam-3951	89	18	)	)	PUNCT
ejpam-3951	89	19	=	=	SYM
ejpam-3951	90	1	ct	ct	NUM
ejpam-3951	90	2	1,	1,	NUM
ejpam-3951	90	3	...	...	PUNCT
ejpam-3951	90	4	,t	,t	PUNCT
ejpam-3951	91	1	k−1,t	k−1,t	PROPN
ejpam-3951	91	2	k+1	k+1	PART
ejpam-3951	91	3	...	...	PUNCT
ejpam-3951	91	4	,t	,t	PUNCT
ejpam-3951	91	5	n	n	PROPN
ejpam-3951	91	6	(	(	PUNCT
ejpam-3951	91	7	u1	u1	PROPN
ejpam-3951	91	8	,	,	PUNCT
ejpam-3951	91	9	...	...	PUNCT
ejpam-3951	91	10	,	,	PUNCT
ejpam-3951	91	11	uk−1	uk−1	PROPN
ejpam-3951	91	12	,	,	PUNCT
ejpam-3951	91	13	uk+1	uk+1	NOUN
ejpam-3951	91	14	,	,	PUNCT
ejpam-3951	91	15	...	...	PUNCT
ejpam-3951	91	16	,	,	PUNCT
ejpam-3951	91	17	un	un	PROPN
ejpam-3951	91	18	)	)	PUNCT
ejpam-3951	91	19	for	for	ADP
ejpam-3951	91	20	all	all	DET
ejpam-3951	91	21	ui	ui	NOUN
ejpam-3951	91	22	∈	∈	PROPN
ejpam-3951	91	23	(	(	PUNCT
ejpam-3951	91	24	0	0	NUM
ejpam-3951	91	25	,	,	PUNCT
ejpam-3951	91	26	1	1	NUM
ejpam-3951	91	27	)	)	PUNCT
ejpam-3951	91	28	,	,	PUNCT
ejpam-3951	91	29	1	1	NUM
ejpam-3951	91	30	≤	≤	NUM
ejpam-3951	91	31	k	k	NOUN
ejpam-3951	91	32	≤	≤	PROPN
ejpam-3951	91	33	n	n	CCONJ
ejpam-3951	91	34	and	and	CCONJ
ejpam-3951	91	35	d	d	PROPN
ejpam-3951	91	36	=	=	PUNCT
ejpam-3951	91	37	{	{	PUNCT
ejpam-3951	91	38	ft	ft	PROPN
ejpam-3951	91	39	,	,	PUNCT
ejpam-3951	91	40	t	t	PROPN
ejpam-3951	91	41	∈	∈	PROPN
ejpam-3951	91	42	t	t	PROPN
ejpam-3951	91	43	}	}	PUNCT
ejpam-3951	91	44	a	a	DET
ejpam-3951	91	45	collection	collection	NOUN
ejpam-3951	91	46	of	of	ADP
ejpam-3951	91	47	uni	uni	ADJ
ejpam-3951	91	48	-	-	ADJ
ejpam-3951	91	49	dimensionnal	dimensionnal	ADJ
ejpam-3951	91	50	distribution	distribution	NOUN
ejpam-3951	91	51	.	.	PUNCT
ejpam-3951	92	1	then	then	ADV
ejpam-3951	92	2	,	,	PUNCT
ejpam-3951	92	3	there	there	PRON
ejpam-3951	92	4	exists	exist	VERB
ejpam-3951	92	5	a	a	DET
ejpam-3951	92	6	probability	probability	NOUN
ejpam-3951	92	7	espace	espace	NOUN
ejpam-3951	92	8	(	(	PUNCT
ejpam-3951	92	9	ω	ω	PROPN
ejpam-3951	92	10	,	,	PUNCT
ejpam-3951	92	11	f	f	PROPN
ejpam-3951	92	12	,	,	PUNCT
ejpam-3951	92	13	p	p	NOUN
ejpam-3951	92	14	)	)	PUNCT
ejpam-3951	92	15	and	and	CCONJ
ejpam-3951	92	16	a	a	DET
ejpam-3951	92	17	stochastic	stochastic	ADJ
ejpam-3951	92	18	process	process	NOUN
ejpam-3951	92	19	{	{	PUNCT
ejpam-3951	92	20	(	(	PUNCT
ejpam-3951	92	21	yt	yt	PROPN
ejpam-3951	92	22	)	)	PUNCT
ejpam-3951	92	23	,	,	PUNCT
ejpam-3951	92	24	t	t	PROPN
ejpam-3951	92	25	∈	∈	PROPN
ejpam-3951	92	26	t	t	PROPN
ejpam-3951	92	27	}	}	PUNCT
ejpam-3951	92	28	such	such	ADJ
ejpam-3951	92	29	that	that	SCONJ
ejpam-3951	92	30	p	p	X
ejpam-3951	92	31	(	(	PUNCT
ejpam-3951	92	32	yt1	yt1	X
ejpam-3951	92	33	<	<	X
ejpam-3951	92	34	x1	x1	PROPN
ejpam-3951	92	35	,	,	PUNCT
ejpam-3951	92	36	...	...	PUNCT
ejpam-3951	92	37	,	,	PUNCT
ejpam-3951	92	38	ytn	ytn	NOUN
ejpam-3951	92	39	<	<	X
ejpam-3951	92	40	xn	xn	PROPN
ejpam-3951	92	41	)	)	PUNCT
ejpam-3951	92	42	=	=	SYM
ejpam-3951	93	1	ct	ct	NUM
ejpam-3951	93	2	1,	1,	NUM
ejpam-3951	93	3	...	...	PUNCT
ejpam-3951	93	4	,t	,t	PUNCT
ejpam-3951	93	5	n	n	PROPN
ejpam-3951	93	6	(	(	PUNCT
ejpam-3951	93	7	ft1	ft1	X
ejpam-3951	93	8	(	(	PUNCT
ejpam-3951	93	9	x1	x1	PROPN
ejpam-3951	93	10	)	)	PUNCT
ejpam-3951	93	11	,	,	PUNCT
ejpam-3951	93	12	...	...	PUNCT
ejpam-3951	93	13	,	,	PUNCT
ejpam-3951	93	14	ftn	ftn	PROPN
ejpam-3951	93	15	(	(	PUNCT
ejpam-3951	93	16	xn	xn	PROPN
ejpam-3951	93	17	)	)	PUNCT
ejpam-3951	93	18	)	)	PUNCT
ejpam-3951	93	19	.	.	PUNCT
ejpam-3951	94	1	(	(	PUNCT
ejpam-3951	94	2	7	7	X
ejpam-3951	94	3	)	)	PUNCT
ejpam-3951	94	4	for	for	ADP
ejpam-3951	94	5	all	all	PRON
ejpam-3951	94	6	xi	xi	ADP
ejpam-3951	94	7	∈	∈	PROPN
ejpam-3951	94	8	r	r	NOUN
ejpam-3951	94	9	,	,	PUNCT
ejpam-3951	94	10	ti	ti	PROPN
ejpam-3951	94	11	∈	∈	PROPN
ejpam-3951	94	12	t	t	X
ejpam-3951	94	13	⊂	⊂	X
ejpam-3951	94	14	r	r	X
ejpam-3951	94	15	,	,	PUNCT
ejpam-3951	94	16	1	1	NUM
ejpam-3951	94	17	≤	≤	NUM
ejpam-3951	94	18	i	i	PRON
ejpam-3951	94	19	≤	≤	NOUN
ejpam-3951	94	20	n	n	CCONJ
ejpam-3951	94	21	and	and	CCONJ
ejpam-3951	94	22	yt	yt	PROPN
ejpam-3951	94	23	is	be	AUX
ejpam-3951	94	24	ft	ft	NOUN
ejpam-3951	94	25	-	-	PUNCT
ejpam-3951	94	26	mesurable	mesurable	NOUN
ejpam-3951	94	27	for	for	ADP
ejpam-3951	94	28	all	all	DET
ejpam-3951	94	29	t	t	NOUN
ejpam-3951	94	30	∈	∈	PROPN
ejpam-3951	95	1	t.	t.	NOUN
ejpam-3951	95	2	next	next	ADV
ejpam-3951	95	3	,	,	PUNCT
ejpam-3951	95	4	we	we	PRON
ejpam-3951	95	5	present	present	VERB
ejpam-3951	95	6	the	the	DET
ejpam-3951	95	7	notions	notion	NOUN
ejpam-3951	95	8	of	of	ADP
ejpam-3951	95	9	extremal	extremal	ADJ
ejpam-3951	95	10	processes	process	NOUN
ejpam-3951	95	11	which	which	PRON
ejpam-3951	95	12	are	be	AUX
ejpam-3951	95	13	processes	process	NOUN
ejpam-3951	95	14	obtained	obtain	VERB
ejpam-3951	95	15	as	as	ADP
ejpam-3951	95	16	limits	limit	NOUN
ejpam-3951	95	17	of	of	ADP
ejpam-3951	95	18	a	a	DET
ejpam-3951	95	19	normalized	normalize	VERB
ejpam-3951	95	20	maxima	maxima	NOUN
ejpam-3951	95	21	processes	process	NOUN
ejpam-3951	95	22	of	of	ADP
ejpam-3951	95	23	a	a	DET
ejpam-3951	95	24	sequence	sequence	NOUN
ejpam-3951	95	25	of	of	ADP
ejpam-3951	95	26	random	random	ADJ
ejpam-3951	95	27	variables	variable	NOUN
ejpam-3951	95	28	independent	independent	ADJ
ejpam-3951	95	29	identically	identically	ADV
ejpam-3951	95	30	distributed	distribute	VERB
ejpam-3951	95	31	(	(	PUNCT
ejpam-3951	95	32	i.i.d	i.i.d	ADJ
ejpam-3951	95	33	)	)	PUNCT
ejpam-3951	95	34	(	(	PUNCT
ejpam-3951	95	35	or	or	CCONJ
ejpam-3951	95	36	independent	independent	ADJ
ejpam-3951	95	37	sequences	sequence	NOUN
ejpam-3951	95	38	not	not	PART
ejpam-3951	95	39	identically	identically	ADV
ejpam-3951	95	40	distributed	distribute	VERB
ejpam-3951	95	41	)	)	PUNCT
ejpam-3951	95	42	.	.	PUNCT
ejpam-3951	96	1	for	for	ADP
ejpam-3951	96	2	more	more	ADJ
ejpam-3951	96	3	details	detail	NOUN
ejpam-3951	96	4	,	,	PUNCT
ejpam-3951	96	5	the	the	DET
ejpam-3951	96	6	reader	reader	NOUN
ejpam-3951	96	7	can	can	AUX
ejpam-3951	96	8	consult	consult	VERB
ejpam-3951	96	9	resnick[19	resnick[19	NOUN
ejpam-3951	96	10	]	]	PUNCT
ejpam-3951	96	11	and	and	CCONJ
ejpam-3951	96	12	references	reference	NOUN
ejpam-3951	96	13	therein	therein	ADV
ejpam-3951	96	14	.	.	PUNCT
ejpam-3951	97	1	definition	definition	NOUN
ejpam-3951	97	2	2	2	NUM
ejpam-3951	97	3	.	.	PUNCT
ejpam-3951	97	4	suppose	suppose	VERB
ejpam-3951	97	5	that	that	SCONJ
ejpam-3951	97	6	x1	x1	PROPN
ejpam-3951	97	7	,	,	PUNCT
ejpam-3951	97	8	x2	x2	PROPN
ejpam-3951	97	9	,	,	PUNCT
ejpam-3951	97	10	...	...	PUNCT
ejpam-3951	97	11	xn	xn	PROPN
ejpam-3951	97	12	is	be	AUX
ejpam-3951	97	13	a	a	DET
ejpam-3951	97	14	sequence	sequence	NOUN
ejpam-3951	97	15	of	of	ADP
ejpam-3951	97	16	independent	independent	ADJ
ejpam-3951	97	17	and	and	CCONJ
ejpam-3951	97	18	identically	identically	ADV
ejpam-3951	97	19	distributed	distribute	VERB
ejpam-3951	97	20	random	random	ADJ
ejpam-3951	97	21	variables	variable	NOUN
ejpam-3951	97	22	,	,	PUNCT
ejpam-3951	97	23	and	and	CCONJ
ejpam-3951	97	24	mn	mn	PROPN
ejpam-3951	97	25	=	=	PROPN
ejpam-3951	97	26	max{x1	max{x1	NOUN
ejpam-3951	97	27	,	,	PUNCT
ejpam-3951	97	28	x2	x2	PROPN
ejpam-3951	97	29	,	,	PUNCT
ejpam-3951	97	30	...	...	PUNCT
ejpam-3951	97	31	,	,	PUNCT
ejpam-3951	97	32	xn	xn	PROPN
ejpam-3951	97	33	}	}	PUNCT
ejpam-3951	97	34	.	.	PUNCT
ejpam-3951	98	1	let	let	VERB
ejpam-3951	98	2	{	{	PUNCT
ejpam-3951	98	3	y	y	PROPN
ejpam-3951	98	4	(	(	PUNCT
ejpam-3951	98	5	t	t	PROPN
ejpam-3951	98	6	)	)	PUNCT
ejpam-3951	98	7	,	,	PUNCT
ejpam-3951	98	8	t	t	PROPN
ejpam-3951	98	9	≥	≥	NUM
ejpam-3951	98	10	0	0	NUM
ejpam-3951	98	11	}	}	PUNCT
ejpam-3951	98	12	the	the	DET
ejpam-3951	98	13	stochastic	stochastic	ADJ
ejpam-3951	98	14	process	process	NOUN
ejpam-3951	98	15	which	which	PRON
ejpam-3951	98	16	is	be	AUX
ejpam-3951	98	17	the	the	DET
ejpam-3951	98	18	natural	natural	ADJ
ejpam-3951	98	19	limit	limit	NOUN
ejpam-3951	98	20	when	when	SCONJ
ejpam-3951	98	21	n	n	X
ejpam-3951	98	22	→	→	SYM
ejpam-3951	98	23	∞	∞	PROPN
ejpam-3951	98	24	,	,	PUNCT
ejpam-3951	98	25	of	of	ADP
ejpam-3951	98	26	the	the	DET
ejpam-3951	98	27	process	process	NOUN
ejpam-3951	98	28	yn(t	yn(t	PUNCT
ejpam-3951	98	29	)	)	PUNCT
ejpam-3951	98	30	=	=	PRON
ejpam-3951	99	1	(	(	PUNCT
ejpam-3951	99	2	m[nt	m[nt	X
ejpam-3951	99	3	]	]	X
ejpam-3951	99	4	−	−	PROPN
ejpam-3951	99	5	an)/bn	an)/bn	PROPN
ejpam-3951	99	6	,	,	PUNCT
ejpam-3951	99	7	t	t	PROPN
ejpam-3951	99	8	≥	≥	NUM
ejpam-3951	99	9	1	1	NUM
ejpam-3951	99	10	/	/	SYM
ejpam-3951	99	11	n.	n.	NOUN
ejpam-3951	99	12	(	(	PUNCT
ejpam-3951	99	13	8)	8)	NUM
ejpam-3951	99	14	d.	d.	PROPN
ejpam-3951	99	15	barro	barro	PROPN
ejpam-3951	99	16	et	et	PROPN
ejpam-3951	99	17	al	al	PROPN
ejpam-3951	99	18	.	.	PUNCT
ejpam-3951	99	19	/	/	SYM
ejpam-3951	99	20	eur	eur	PROPN
ejpam-3951	99	21	.	.	PUNCT
ejpam-3951	100	1	j.	j.	PROPN
ejpam-3951	100	2	pure	pure	PROPN
ejpam-3951	100	3	appl	appl	PROPN
ejpam-3951	100	4	.	.	PROPN
ejpam-3951	100	5	math	math	PROPN
ejpam-3951	100	6	,	,	PUNCT
ejpam-3951	100	7	14	14	NUM
ejpam-3951	100	8	(	(	PUNCT
ejpam-3951	100	9	3	3	NUM
ejpam-3951	100	10	)	)	PUNCT
ejpam-3951	100	11	(	(	PUNCT
ejpam-3951	100	12	2021	2021	NUM
ejpam-3951	100	13	)	)	PUNCT
ejpam-3951	100	14	,	,	PUNCT
ejpam-3951	100	15	1057	1057	NUM
ejpam-3951	100	16	-	-	SYM
ejpam-3951	100	17	1081	1081	NUM
ejpam-3951	100	18	1061	1061	NUM
ejpam-3951	100	19	the	the	DET
ejpam-3951	100	20	joint	joint	ADJ
ejpam-3951	100	21	distribution	distribution	NOUN
ejpam-3951	100	22	of	of	ADP
ejpam-3951	100	23	vector	vector	NOUN
ejpam-3951	100	24	yt1	yt1	PROPN
ejpam-3951	100	25	,	,	PUNCT
ejpam-3951	100	26	yt2	yt2	PROPN
ejpam-3951	100	27	,	,	PUNCT
ejpam-3951	100	28	...	...	PUNCT
ejpam-3951	100	29	,	,	PUNCT
ejpam-3951	100	30	ytk	ytk	PROPN
ejpam-3951	100	31	is	be	AUX
ejpam-3951	100	32	same	same	ADJ
ejpam-3951	100	33	as	as	ADP
ejpam-3951	100	34	the	the	DET
ejpam-3951	100	35	distribution	distribution	NOUN
ejpam-3951	100	36	of	of	ADP
ejpam-3951	100	37	u1,max(u1	u1,max(u1	PROPN
ejpam-3951	100	38	,	,	PUNCT
ejpam-3951	100	39	u2	u2	PROPN
ejpam-3951	100	40	)	)	PUNCT
ejpam-3951	100	41	,	,	PUNCT
ejpam-3951	100	42	...	...	PUNCT
ejpam-3951	100	43	,	,	PUNCT
ejpam-3951	100	44	max(u1	max(u1	PROPN
ejpam-3951	100	45	,	,	PUNCT
ejpam-3951	100	46	u2	u2	NOUN
ejpam-3951	100	47	,	,	PUNCT
ejpam-3951	100	48	...	...	PUNCT
ejpam-3951	100	49	,	,	PUNCT
ejpam-3951	100	50	uk	uk	PROPN
ejpam-3951	100	51	)	)	PUNCT
ejpam-3951	100	52	,	,	PUNCT
ejpam-3951	100	53	where	where	SCONJ
ejpam-3951	100	54	u1,u2,	u1,u2,	NOUN
ejpam-3951	100	55	...	...	PUNCT
ejpam-3951	100	56	,uk	,uk	PUNCT
ejpam-3951	100	57	are	be	AUX
ejpam-3951	100	58	independantes	independante	NOUN
ejpam-3951	100	59	variables	variable	NOUN
ejpam-3951	100	60	whose	whose	DET
ejpam-3951	100	61	distribution	distribution	NOUN
ejpam-3951	100	62	is	be	AUX
ejpam-3951	100	63	ftj−tj−1	ftj−tj−1	NOUN
ejpam-3951	100	64	=	=	SYM
ejpam-3951	100	65	gtj−tj−1	gtj−tj−1	NOUN
ejpam-3951	100	66	,	,	PUNCT
ejpam-3951	100	67	j	j	PROPN
ejpam-3951	100	68	=	=	SYM
ejpam-3951	100	69	1	1	NUM
ejpam-3951	100	70	,	,	PUNCT
ejpam-3951	100	71	...	...	PUNCT
ejpam-3951	100	72	,	,	PUNCT
ejpam-3951	100	73	k	k	PROPN
ejpam-3951	100	74	with	with	ADP
ejpam-3951	100	75	t0	t0	PROPN
ejpam-3951	100	76	=	=	PUNCT
ejpam-3951	100	77	0	0	PROPN
ejpam-3951	100	78	.	.	PUNCT
ejpam-3951	101	1	(	(	PUNCT
ejpam-3951	101	2	9	9	NUM
ejpam-3951	101	3	)	)	PUNCT
ejpam-3951	101	4	where	where	SCONJ
ejpam-3951	101	5	g	g	PROPN
ejpam-3951	101	6	is	be	AUX
ejpam-3951	101	7	gev	gev	NOUN
ejpam-3951	101	8	type	type	NOUN
ejpam-3951	101	9	.	.	PUNCT
ejpam-3951	102	1	such	such	DET
ejpam-3951	102	2	a	a	DET
ejpam-3951	102	3	process	process	NOUN
ejpam-3951	102	4	is	be	AUX
ejpam-3951	102	5	called	call	VERB
ejpam-3951	102	6	extremal	extremal	ADJ
ejpam-3951	102	7	process	process	NOUN
ejpam-3951	102	8	.	.	PUNCT
ejpam-3951	103	1	the	the	DET
ejpam-3951	103	2	joint	joint	ADJ
ejpam-3951	103	3	finite	finite	ADJ
ejpam-3951	103	4	-	-	ADJ
ejpam-3951	103	5	dimensionnal	dimensionnal	ADJ
ejpam-3951	103	6	distrbution	distrbution	NOUN
ejpam-3951	103	7	is	be	AUX
ejpam-3951	103	8	defined	define	VERB
ejpam-3951	103	9	by	by	ADP
ejpam-3951	103	10	gt1,t2,	gt1,t2,	PROPN
ejpam-3951	103	11	...	...	PUNCT
ejpam-3951	103	12	,tk(y1	,tk(y1	PUNCT
ejpam-3951	103	13	,	,	PUNCT
ejpam-3951	103	14	y2	y2	INTJ
ejpam-3951	103	15	,	,	PUNCT
ejpam-3951	103	16	...	...	PUNCT
ejpam-3951	103	17	,	,	PUNCT
ejpam-3951	103	18	yk	yk	PROPN
ejpam-3951	103	19	)	)	PUNCT
ejpam-3951	103	20	=	=	PUNCT
ejpam-3951	104	1	p	p	X
ejpam-3951	104	2	[	[	X
ejpam-3951	104	3	y	y	PROPN
ejpam-3951	104	4	(	(	PUNCT
ejpam-3951	104	5	t1	t1	PROPN
ejpam-3951	104	6	)	)	PUNCT
ejpam-3951	104	7	<	<	X
ejpam-3951	104	8	y1	y1	PROPN
ejpam-3951	104	9	,	,	PUNCT
ejpam-3951	104	10	y	y	PROPN
ejpam-3951	104	11	(	(	PUNCT
ejpam-3951	104	12	t2	t2	PROPN
ejpam-3951	104	13	)	)	PUNCT
ejpam-3951	104	14	<	<	X
ejpam-3951	104	15	y2	y2	PROPN
ejpam-3951	104	16	,	,	PUNCT
ejpam-3951	104	17	...	...	PUNCT
ejpam-3951	104	18	,	,	PUNCT
ejpam-3951	104	19	y	y	PROPN
ejpam-3951	104	20	(	(	PUNCT
ejpam-3951	104	21	tk	tk	PROPN
ejpam-3951	104	22	)	)	PUNCT
ejpam-3951	104	23	<	<	X
ejpam-3951	104	24	yk	yk	PROPN
ejpam-3951	104	25	]	]	PUNCT
ejpam-3951	104	26	.	.	PUNCT
ejpam-3951	105	1	which	which	PRON
ejpam-3951	105	2	gives	give	VERB
ejpam-3951	105	3	,	,	PUNCT
ejpam-3951	105	4	taking	take	VERB
ejpam-3951	105	5	into	into	ADP
ejpam-3951	105	6	account	account	NOUN
ejpam-3951	105	7	the	the	DET
ejpam-3951	105	8	independance	independance	PROPN
ejpam-3951	105	9	gt1,t2,	gt1,t2,	PROPN
ejpam-3951	105	10	...	...	PUNCT
ejpam-3951	105	11	,tk(y1	,tk(y1	PUNCT
ejpam-3951	105	12	,	,	PUNCT
ejpam-3951	105	13	y2	y2	INTJ
ejpam-3951	105	14	,	,	PUNCT
ejpam-3951	105	15	...	...	PUNCT
ejpam-3951	105	16	,	,	PUNCT
ejpam-3951	105	17	yk	yk	PROPN
ejpam-3951	105	18	)	)	PUNCT
ejpam-3951	105	19	=	=	PUNCT
ejpam-3951	106	1	[	[	PUNCT
ejpam-3951	106	2	g(∧ki=1yi	g(∧ki=1yi	X
ejpam-3951	106	3	)	)	PUNCT
ejpam-3951	106	4	]	]	PUNCT
ejpam-3951	106	5	t1	t1	NOUN
ejpam-3951	106	6	×	×	NOUN
ejpam-3951	106	7	[	[	PUNCT
ejpam-3951	106	8	g(∧ki=2yi	g(∧ki=2yi	NOUN
ejpam-3951	106	9	)	)	PUNCT
ejpam-3951	106	10	]	]	PUNCT
ejpam-3951	106	11	t2−t1	t2−t1	NUM
ejpam-3951	106	12	×	×	NOUN
ejpam-3951	106	13	...	...	PUNCT
ejpam-3951	106	14	×	×	NOUN
ejpam-3951	107	1	[	[	X
ejpam-3951	107	2	g(yk	g(yk	PROPN
ejpam-3951	107	3	)	)	PUNCT
ejpam-3951	107	4	]	]	PUNCT
ejpam-3951	108	1	tk−tk−1	tk−tk−1	ADJ
ejpam-3951	108	2	.	.	PUNCT
ejpam-3951	109	1	(	(	PUNCT
ejpam-3951	109	2	10	10	NUM
ejpam-3951	109	3	)	)	PUNCT
ejpam-3951	109	4	let	let	VERB
ejpam-3951	109	5	’s	’s	ADJ
ejpam-3951	109	6	remark	remark	VERB
ejpam-3951	109	7	that	that	SCONJ
ejpam-3951	109	8	the	the	DET
ejpam-3951	109	9	advantage	advantage	NOUN
ejpam-3951	109	10	of	of	ADP
ejpam-3951	109	11	these	these	DET
ejpam-3951	109	12	types	type	NOUN
ejpam-3951	109	13	of	of	ADP
ejpam-3951	109	14	processes	process	NOUN
ejpam-3951	109	15	lies	lie	VERB
ejpam-3951	109	16	in	in	ADP
ejpam-3951	109	17	the	the	DET
ejpam-3951	109	18	fact	fact	NOUN
ejpam-3951	109	19	that	that	SCONJ
ejpam-3951	109	20	they	they	PRON
ejpam-3951	109	21	allow	allow	VERB
ejpam-3951	109	22	us	we	PRON
ejpam-3951	109	23	to	to	PART
ejpam-3951	109	24	introduce	introduce	VERB
ejpam-3951	109	25	a	a	DET
ejpam-3951	109	26	certain	certain	ADJ
ejpam-3951	109	27	dynamic	dynamic	ADJ
ejpam-3951	109	28	(	(	PUNCT
ejpam-3951	109	29	evolution	evolution	NOUN
ejpam-3951	109	30	over	over	ADP
ejpam-3951	109	31	time	time	NOUN
ejpam-3951	109	32	)	)	PUNCT
ejpam-3951	109	33	in	in	ADP
ejpam-3951	109	34	the	the	DET
ejpam-3951	109	35	modeling	modeling	NOUN
ejpam-3951	109	36	of	of	ADP
ejpam-3951	109	37	extreme	extreme	ADJ
ejpam-3951	109	38	risks	risk	NOUN
ejpam-3951	109	39	.	.	PUNCT
ejpam-3951	110	1	2.2	2.2	NUM
ejpam-3951	110	2	.	.	PUNCT
ejpam-3951	110	3	overview	overview	NOUN
ejpam-3951	110	4	of	of	ADP
ejpam-3951	110	5	the	the	DET
ejpam-3951	110	6	tail	tail	NOUN
ejpam-3951	110	7	multivariate	multivariate	NOUN
ejpam-3951	110	8	dependence	dependence	NOUN
ejpam-3951	110	9	the	the	DET
ejpam-3951	110	10	concept	concept	NOUN
ejpam-3951	110	11	of	of	ADP
ejpam-3951	110	12	tail	tail	NOUN
ejpam-3951	110	13	dependence	dependence	NOUN
ejpam-3951	110	14	is	be	AUX
ejpam-3951	110	15	widely	widely	ADV
ejpam-3951	110	16	used	use	VERB
ejpam-3951	110	17	in	in	ADP
ejpam-3951	110	18	multivariate	multivariate	NOUN
ejpam-3951	110	19	analysis	analysis	NOUN
ejpam-3951	110	20	mainly	mainly	ADV
ejpam-3951	110	21	in	in	ADP
ejpam-3951	110	22	the	the	DET
ejpam-3951	110	23	bivariate	bivariate	ADJ
ejpam-3951	110	24	case	case	NOUN
ejpam-3951	110	25	,	,	PUNCT
ejpam-3951	110	26	see[10	see[10	PROPN
ejpam-3951	110	27	]	]	PUNCT
ejpam-3951	110	28	,	,	PUNCT
ejpam-3951	110	29	[	[	X
ejpam-3951	110	30	8	8	NUM
ejpam-3951	110	31	]	]	PUNCT
ejpam-3951	110	32	and	and	CCONJ
ejpam-3951	110	33	[	[	X
ejpam-3951	110	34	3	3	NUM
ejpam-3951	110	35	]	]	PUNCT
ejpam-3951	110	36	.	.	PUNCT
ejpam-3951	111	1	however	however	ADV
ejpam-3951	111	2	,	,	PUNCT
ejpam-3951	111	3	their	their	PRON
ejpam-3951	111	4	study	study	NOUN
ejpam-3951	111	5	in	in	ADP
ejpam-3951	111	6	larger	large	ADJ
ejpam-3951	111	7	dimension	dimension	NOUN
ejpam-3951	111	8	is	be	AUX
ejpam-3951	111	9	expanding	expand	VERB
ejpam-3951	111	10	.	.	PUNCT
ejpam-3951	112	1	the	the	DET
ejpam-3951	112	2	generalization	generalization	NOUN
ejpam-3951	112	3	of	of	ADP
ejpam-3951	112	4	tail	tail	NOUN
ejpam-3951	112	5	dependence	dependence	NOUN
ejpam-3951	112	6	in	in	ADP
ejpam-3951	112	7	dimension	dimension	NOUN
ejpam-3951	112	8	d	d	X
ejpam-3951	112	9	>	>	SYM
ejpam-3951	112	10	2	2	NUM
ejpam-3951	112	11	consists	consist	VERB
ejpam-3951	112	12	in	in	ADP
ejpam-3951	112	13	choosing	choose	VERB
ejpam-3951	112	14	(	(	PUNCT
ejpam-3951	112	15	h	h	NOUN
ejpam-3951	112	16	<	<	X
ejpam-3951	112	17	d	d	NOUN
ejpam-3951	112	18	)	)	PUNCT
ejpam-3951	112	19	variables	variable	NOUN
ejpam-3951	112	20	and	and	CCONJ
ejpam-3951	112	21	quantifying	quantify	VERB
ejpam-3951	112	22	the	the	DET
ejpam-3951	112	23	conditional	conditional	ADJ
ejpam-3951	112	24	probability	probability	NOUN
ejpam-3951	112	25	that	that	SCONJ
ejpam-3951	112	26	each	each	DET
ejpam-3951	112	27	variables	variable	NOUN
ejpam-3951	112	28	h	h	NOUN
ejpam-3951	112	29	take	take	VERB
ejpam-3951	112	30	values	value	NOUN
ejpam-3951	112	31	in	in	ADP
ejpam-3951	112	32	the	the	DET
ejpam-3951	112	33	tail	tail	NOUN
ejpam-3951	112	34	knowing	know	VERB
ejpam-3951	112	35	that	that	SCONJ
ejpam-3951	112	36	the	the	DET
ejpam-3951	112	37	d−	d−	PROPN
ejpam-3951	112	38	h	h	NOUN
ejpam-3951	112	39	variables	variable	NOUN
ejpam-3951	112	40	take	take	VERB
ejpam-3951	112	41	this	this	DET
ejpam-3951	112	42	value	value	NOUN
ejpam-3951	112	43	too	too	ADV
ejpam-3951	112	44	(	(	PUNCT
ejpam-3951	112	45	see	see	VERB
ejpam-3951	112	46	barro	barro	NOUN
ejpam-3951	112	47	[	[	X
ejpam-3951	112	48	2	2	NUM
ejpam-3951	112	49	]	]	PUNCT
ejpam-3951	112	50	)	)	PUNCT
ejpam-3951	112	51	.	.	PUNCT
ejpam-3951	113	1	let	let	VERB
ejpam-3951	113	2	x	x	PUNCT
ejpam-3951	113	3	=	=	SYM
ejpam-3951	113	4	(	(	PUNCT
ejpam-3951	113	5	x1	x1	PROPN
ejpam-3951	113	6	,	,	PUNCT
ejpam-3951	113	7	...	...	PUNCT
ejpam-3951	113	8	,	,	PUNCT
ejpam-3951	113	9	xd	xd	INTJ
ejpam-3951	113	10	)	)	PUNCT
ejpam-3951	113	11	be	be	AUX
ejpam-3951	113	12	a	a	DET
ejpam-3951	113	13	random	random	ADJ
ejpam-3951	113	14	vector	vector	NOUN
ejpam-3951	113	15	of	of	ADP
ejpam-3951	113	16	rd	rd	NOUN
ejpam-3951	113	17	of	of	ADP
ejpam-3951	113	18	joint	joint	ADJ
ejpam-3951	113	19	distribution	distribution	NOUN
ejpam-3951	113	20	f	f	NOUN
ejpam-3951	113	21	and	and	CCONJ
ejpam-3951	113	22	of	of	ADP
ejpam-3951	113	23	copula	copula	PROPN
ejpam-3951	113	24	c.	c.	NOUN
ejpam-3951	113	25	we	we	PRON
ejpam-3951	113	26	note	note	VERB
ejpam-3951	113	27	,	,	PUNCT
ejpam-3951	113	28	in	in	ADP
ejpam-3951	113	29	the	the	DET
ejpam-3951	113	30	rest	rest	NOUN
ejpam-3951	113	31	of	of	ADP
ejpam-3951	113	32	this	this	DET
ejpam-3951	113	33	study	study	NOUN
ejpam-3951	113	34	,	,	PUNCT
ejpam-3951	113	35	for	for	ADP
ejpam-3951	113	36	all	all	DET
ejpam-3951	113	37	h	h	NOUN
ejpam-3951	113	38	≤	≤	NUM
ejpam-3951	113	39	d	d	X
ejpam-3951	113	40	,	,	PUNCT
ejpam-3951	113	41	x(h	x(h	PROPN
ejpam-3951	113	42	)	)	PUNCT
ejpam-3951	113	43	=	=	PRON
ejpam-3951	114	1	(	(	PUNCT
ejpam-3951	114	2	x1	x1	PROPN
ejpam-3951	114	3	,	,	PUNCT
ejpam-3951	114	4	...	...	PUNCT
ejpam-3951	114	5	,	,	PUNCT
ejpam-3951	114	6	xh	xh	PROPN
ejpam-3951	114	7	)	)	PUNCT
ejpam-3951	114	8	;	;	PUNCT
ejpam-3951	114	9	x(d−h	x(d−h	X
ejpam-3951	114	10	)	)	PUNCT
ejpam-3951	114	11	=	=	PRON
ejpam-3951	115	1	(	(	PUNCT
ejpam-3951	115	2	xh+1	xh+1	PROPN
ejpam-3951	115	3	,	,	PUNCT
ejpam-3951	115	4	...	...	PUNCT
ejpam-3951	115	5	,	,	PUNCT
ejpam-3951	115	6	xd	xd	ADP
ejpam-3951	115	7	)	)	PUNCT
ejpam-3951	115	8	;	;	PUNCT
ejpam-3951	115	9	and	and	CCONJ
ejpam-3951	115	10	by	by	ADP
ejpam-3951	115	11	ch	ch	NOUN
ejpam-3951	115	12	and	and	CCONJ
ejpam-3951	115	13	cd−h	cd−h	VERB
ejpam-3951	115	14	their	their	PRON
ejpam-3951	115	15	respective	respective	ADJ
ejpam-3951	115	16	copulas	copula	NOUN
ejpam-3951	115	17	.	.	PUNCT
ejpam-3951	116	1	the	the	DET
ejpam-3951	116	2	generalization	generalization	NOUN
ejpam-3951	116	3	of	of	ADP
ejpam-3951	116	4	the	the	DET
ejpam-3951	116	5	coefficients	coefficient	NOUN
ejpam-3951	116	6	of	of	ADP
ejpam-3951	116	7	upper	upper	ADJ
ejpam-3951	116	8	tail	tail	NOUN
ejpam-3951	116	9	dependencie	dependencie	NOUN
ejpam-3951	116	10	λu	λu	PROPN
ejpam-3951	116	11	,	,	PUNCT
ejpam-3951	116	12	h	h	NOUN
ejpam-3951	116	13	,	,	PUNCT
ejpam-3951	116	14	and	and	CCONJ
ejpam-3951	116	15	lower	low	ADJ
ejpam-3951	116	16	tail	tail	NOUN
ejpam-3951	116	17	dependencie	dependencie	NOUN
ejpam-3951	116	18	λl	λl	PROPN
ejpam-3951	116	19	,	,	PUNCT
ejpam-3951	116	20	h	h	NOUN
ejpam-3951	116	21	,	,	PUNCT
ejpam-3951	116	22	are	be	AUX
ejpam-3951	116	23	given	give	VERB
ejpam-3951	116	24	by	by	ADP
ejpam-3951	116	25	:	:	PUNCT
ejpam-3951	116	26	λu	λu	PROPN
ejpam-3951	116	27	,	,	PUNCT
ejpam-3951	116	28	h	h	PROPN
ejpam-3951	116	29	=	=	SYM
ejpam-3951	116	30	lim	lim	PROPN
ejpam-3951	116	31	u→1−	u→1−	PROPN
ejpam-3951	116	32	p{x1	p{x1	PROPN
ejpam-3951	116	33	>	>	PUNCT
ejpam-3951	116	34	f−1	f−1	PROPN
ejpam-3951	116	35	1	1	NUM
ejpam-3951	116	36	(	(	PUNCT
ejpam-3951	116	37	u	u	NOUN
ejpam-3951	116	38	)	)	PUNCT
ejpam-3951	116	39	,	,	PUNCT
ejpam-3951	116	40	...	...	PUNCT
ejpam-3951	116	41	,	,	PUNCT
ejpam-3951	116	42	xh	xh	PROPN
ejpam-3951	116	43	>	>	X
ejpam-3951	116	44	f−1	f−1	PROPN
ejpam-3951	116	45	h	h	NOUN
ejpam-3951	116	46	(	(	PUNCT
ejpam-3951	116	47	u)/xh+1	u)/xh+1	PUNCT
ejpam-3951	116	48	>	>	X
ejpam-3951	116	49	f−1	f−1	PROPN
ejpam-3951	116	50	h+1(u	h+1(u	NOUN
ejpam-3951	116	51	)	)	PUNCT
ejpam-3951	116	52	,	,	PUNCT
ejpam-3951	116	53	...	...	PUNCT
ejpam-3951	116	54	,	,	PUNCT
ejpam-3951	116	55	xd	xd	INTJ
ejpam-3951	116	56	>	>	X
ejpam-3951	116	57	f−1	f−1	PROPN
ejpam-3951	116	58	d	d	X
ejpam-3951	116	59	(	(	PUNCT
ejpam-3951	116	60	u	u	NOUN
ejpam-3951	116	61	)	)	PUNCT
ejpam-3951	116	62	}	}	PUNCT
ejpam-3951	116	63	,	,	PUNCT
ejpam-3951	116	64	(	(	PUNCT
ejpam-3951	116	65	11	11	NUM
ejpam-3951	116	66	)	)	PUNCT
ejpam-3951	116	67	and	and	CCONJ
ejpam-3951	116	68	λl	λl	NUM
ejpam-3951	116	69	,	,	PUNCT
ejpam-3951	116	70	h	h	NOUN
ejpam-3951	116	71	=	=	PROPN
ejpam-3951	116	72	lim	lim	PROPN
ejpam-3951	116	73	u→0	u→0	NOUN
ejpam-3951	116	74	+	+	NUM
ejpam-3951	116	75	p{x1	p{x1	NUM
ejpam-3951	116	76	≤	≤	NOUN
ejpam-3951	116	77	f−1	f−1	PROPN
ejpam-3951	116	78	1	1	NUM
ejpam-3951	116	79	(	(	PUNCT
ejpam-3951	116	80	u	u	NOUN
ejpam-3951	116	81	)	)	PUNCT
ejpam-3951	116	82	,	,	PUNCT
ejpam-3951	116	83	...	...	PUNCT
ejpam-3951	116	84	,	,	PUNCT
ejpam-3951	116	85	xh	xh	PROPN
ejpam-3951	116	86	≤	≤	PROPN
ejpam-3951	116	87	f−1	f−1	PROPN
ejpam-3951	116	88	h	h	NOUN
ejpam-3951	116	89	(	(	PUNCT
ejpam-3951	116	90	u)/xh+1	u)/xh+1	NOUN
ejpam-3951	116	91	≤	≤	ADJ
ejpam-3951	116	92	f−1	f−1	PROPN
ejpam-3951	116	93	h+1(u	h+1(u	NOUN
ejpam-3951	116	94	)	)	PUNCT
ejpam-3951	116	95	,	,	PUNCT
ejpam-3951	116	96	...	...	PUNCT
ejpam-3951	116	97	,	,	PUNCT
ejpam-3951	116	98	xd	xd	INTJ
ejpam-3951	116	99	≤	≤	X
ejpam-3951	116	100	f−1	f−1	PROPN
ejpam-3951	116	101	d	d	NOUN
ejpam-3951	116	102	(	(	PUNCT
ejpam-3951	116	103	u	u	NOUN
ejpam-3951	116	104	)	)	PUNCT
ejpam-3951	116	105	}	}	PUNCT
ejpam-3951	116	106	.	.	PUNCT
ejpam-3951	117	1	(	(	PUNCT
ejpam-3951	117	2	12	12	NUM
ejpam-3951	117	3	)	)	PUNCT
ejpam-3951	117	4	in	in	ADP
ejpam-3951	117	5	terms	term	NOUN
ejpam-3951	117	6	of	of	ADP
ejpam-3951	117	7	copulas	copula	NOUN
ejpam-3951	117	8	,	,	PUNCT
ejpam-3951	117	9	(	(	PUNCT
ejpam-3951	117	10	11	11	NUM
ejpam-3951	117	11	)	)	PUNCT
ejpam-3951	117	12	and	and	CCONJ
ejpam-3951	117	13	(	(	PUNCT
ejpam-3951	117	14	12	12	NUM
ejpam-3951	117	15	)	)	PUNCT
ejpam-3951	117	16	take	take	VERB
ejpam-3951	117	17	respectively	respectively	ADV
ejpam-3951	117	18	the	the	DET
ejpam-3951	117	19	form	form	NOUN
ejpam-3951	117	20	:	:	PUNCT
ejpam-3951	117	21	λu	λu	INTJ
ejpam-3951	117	22	,	,	PUNCT
ejpam-3951	117	23	h	h	PROPN
ejpam-3951	118	1	=	=	PROPN
ejpam-3951	118	2	lim	lim	PROPN
ejpam-3951	118	3	u→1−	u→1−	PROPN
ejpam-3951	119	1	−	−	PROPN
ejpam-3951	119	2	c(1−	c(1−	PROPN
ejpam-3951	119	3	u	u	NOUN
ejpam-3951	119	4	,	,	PUNCT
ejpam-3951	119	5	...	...	PUNCT
ejpam-3951	119	6	,	,	PUNCT
ejpam-3951	119	7	1−	1−	NUM
ejpam-3951	119	8	u	u	NOUN
ejpam-3951	119	9	)	)	PUNCT
ejpam-3951	119	10	−	−	PROPN
ejpam-3951	119	11	cd−h(1−	cd−h(1−	PROPN
ejpam-3951	119	12	u	u	PROPN
ejpam-3951	119	13	,	,	PUNCT
ejpam-3951	119	14	...	...	PUNCT
ejpam-3951	119	15	,	,	PUNCT
ejpam-3951	119	16	1−	1−	NUM
ejpam-3951	119	17	u	u	NOUN
ejpam-3951	119	18	)	)	PUNCT
ejpam-3951	119	19	,	,	PUNCT
ejpam-3951	119	20	and	and	CCONJ
ejpam-3951	119	21	λl	λl	NUM
ejpam-3951	119	22	,	,	PUNCT
ejpam-3951	119	23	h	h	NOUN
ejpam-3951	119	24	=	=	PROPN
ejpam-3951	119	25	lim	lim	PROPN
ejpam-3951	119	26	u→0	u→0	PROPN
ejpam-3951	119	27	+	+	PROPN
ejpam-3951	119	28	c(u	c(u	PROPN
ejpam-3951	119	29	,	,	PUNCT
ejpam-3951	119	30	...	...	PUNCT
ejpam-3951	119	31	,	,	PUNCT
ejpam-3951	119	32	u	u	NOUN
ejpam-3951	119	33	)	)	PUNCT
ejpam-3951	119	34	cd−h(u	cd−h(u	PROPN
ejpam-3951	119	35	,	,	PUNCT
ejpam-3951	119	36	...	...	PUNCT
ejpam-3951	119	37	,	,	PUNCT
ejpam-3951	119	38	u	u	NOUN
ejpam-3951	119	39	)	)	PUNCT
ejpam-3951	119	40	,	,	PUNCT
ejpam-3951	119	41	where	where	SCONJ
ejpam-3951	119	42	cd−h	cd−h	NOUN
ejpam-3951	119	43	is	be	AUX
ejpam-3951	119	44	the	the	DET
ejpam-3951	119	45	marginal	marginal	ADJ
ejpam-3951	119	46	copula	copula	NOUN
ejpam-3951	119	47	of	of	ADP
ejpam-3951	119	48	c	c	NOUN
ejpam-3951	119	49	associeted	associete	VERB
ejpam-3951	119	50	to	to	ADP
ejpam-3951	119	51	vector	vector	VERB
ejpam-3951	119	52	x(d−h	x(d−h	PROPN
ejpam-3951	119	53	)	)	PUNCT
ejpam-3951	119	54	and	and	CCONJ
ejpam-3951	119	55	c̄	c̄	PROPN
ejpam-3951	119	56	is	be	AUX
ejpam-3951	119	57	the	the	DET
ejpam-3951	119	58	survival	survival	NOUN
ejpam-3951	119	59	copula	copula	NOUN
ejpam-3951	119	60	associeted	associete	VERB
ejpam-3951	119	61	to	to	ADP
ejpam-3951	119	62	c.	c.	PROPN
ejpam-3951	119	63	the	the	DET
ejpam-3951	119	64	four	four	NUM
ejpam-3951	119	65	following	follow	VERB
ejpam-3951	119	66	sections	section	NOUN
ejpam-3951	119	67	present	present	VERB
ejpam-3951	119	68	our	our	PRON
ejpam-3951	119	69	main	main	ADJ
ejpam-3951	119	70	contribution	contribution	NOUN
ejpam-3951	119	71	in	in	ADP
ejpam-3951	119	72	stochastic	stochastic	ADJ
ejpam-3951	119	73	risk	risk	NOUN
ejpam-3951	119	74	modeling	modeling	NOUN
ejpam-3951	119	75	.	.	PUNCT
ejpam-3951	120	1	d.	d.	PROPN
ejpam-3951	120	2	barro	barro	PROPN
ejpam-3951	120	3	et	et	PROPN
ejpam-3951	120	4	al	al	PROPN
ejpam-3951	120	5	.	.	PUNCT
ejpam-3951	120	6	/	/	SYM
ejpam-3951	120	7	eur	eur	PROPN
ejpam-3951	120	8	.	.	PUNCT
ejpam-3951	121	1	j.	j.	PROPN
ejpam-3951	121	2	pure	pure	PROPN
ejpam-3951	121	3	appl	appl	PROPN
ejpam-3951	121	4	.	.	PROPN
ejpam-3951	121	5	math	math	PROPN
ejpam-3951	121	6	,	,	PUNCT
ejpam-3951	121	7	14	14	NUM
ejpam-3951	121	8	(	(	PUNCT
ejpam-3951	121	9	3	3	NUM
ejpam-3951	121	10	)	)	PUNCT
ejpam-3951	121	11	(	(	PUNCT
ejpam-3951	121	12	2021	2021	NUM
ejpam-3951	121	13	)	)	PUNCT
ejpam-3951	121	14	,	,	PUNCT
ejpam-3951	121	15	1057	1057	NUM
ejpam-3951	121	16	-	-	SYM
ejpam-3951	121	17	1081	1081	NUM
ejpam-3951	121	18	1062	1062	NUM
ejpam-3951	121	19	3	3	NUM
ejpam-3951	121	20	.	.	PUNCT
ejpam-3951	122	1	stochastic	stochastic	ADJ
ejpam-3951	122	2	risk	risk	NOUN
ejpam-3951	122	3	modeling	modeling	NOUN
ejpam-3951	122	4	via	via	ADP
ejpam-3951	122	5	extremal	extremal	ADJ
ejpam-3951	122	6	copulas	copula	NOUN
ejpam-3951	122	7	in	in	ADP
ejpam-3951	122	8	this	this	DET
ejpam-3951	122	9	part	part	NOUN
ejpam-3951	122	10	of	of	ADP
ejpam-3951	122	11	the	the	DET
ejpam-3951	122	12	paper	paper	NOUN
ejpam-3951	122	13	,	,	PUNCT
ejpam-3951	122	14	we	we	PRON
ejpam-3951	122	15	propose	propose	VERB
ejpam-3951	122	16	some	some	DET
ejpam-3951	122	17	results	result	NOUN
ejpam-3951	122	18	on	on	ADP
ejpam-3951	122	19	the	the	DET
ejpam-3951	122	20	multivariate	multivariate	NOUN
ejpam-3951	122	21	extremal	extremal	NOUN
ejpam-3951	122	22	processes	process	NOUN
ejpam-3951	122	23	de	de	NOUN
ejpam-3951	122	24	-	-	NOUN
ejpam-3951	122	25	haan	haan	NOUN
ejpam-3951	123	1	[	[	X
ejpam-3951	123	2	9	9	NUM
ejpam-3951	123	3	]	]	PUNCT
ejpam-3951	123	4	for	for	ADP
ejpam-3951	123	5	more	more	ADJ
ejpam-3951	123	6	details	detail	NOUN
ejpam-3951	123	7	.	.	PUNCT
ejpam-3951	124	1	let	let	VERB
ejpam-3951	124	2	y	y	PROPN
ejpam-3951	124	3	(	(	PUNCT
ejpam-3951	124	4	t	t	PROPN
ejpam-3951	124	5	)	)	PUNCT
ejpam-3951	124	6	=	=	PRON
ejpam-3951	124	7	{	{	PUNCT
ejpam-3951	124	8	(	(	PUNCT
ejpam-3951	124	9	y1(t	y1(t	PROPN
ejpam-3951	124	10	)	)	PUNCT
ejpam-3951	124	11	,	,	PUNCT
ejpam-3951	124	12	...	...	PUNCT
ejpam-3951	124	13	,	,	PUNCT
ejpam-3951	124	14	yd(t	yd(t	X
ejpam-3951	124	15	)	)	PUNCT
ejpam-3951	124	16	}	}	PUNCT
ejpam-3951	124	17	be	be	AUX
ejpam-3951	124	18	a	a	DET
ejpam-3951	124	19	vector	vector	NOUN
ejpam-3951	124	20	of	of	ADP
ejpam-3951	124	21	extremal	extremal	ADJ
ejpam-3951	124	22	process	process	NOUN
ejpam-3951	124	23	with	with	ADP
ejpam-3951	124	24	joint	joint	ADJ
ejpam-3951	124	25	distribution	distribution	NOUN
ejpam-3951	124	26	ft	ft	NOUN
ejpam-3951	124	27	=	=	PUNCT
ejpam-3951	124	28	(	(	PUNCT
ejpam-3951	124	29	f1,t	f1,t	PROPN
ejpam-3951	124	30	,	,	PUNCT
ejpam-3951	124	31	...	...	PUNCT
ejpam-3951	124	32	,	,	PUNCT
ejpam-3951	124	33	fd	fd	PROPN
ejpam-3951	124	34	,	,	PUNCT
ejpam-3951	124	35	t	t	PROPN
ejpam-3951	124	36	)	)	PUNCT
ejpam-3951	124	37	,	,	PUNCT
ejpam-3951	124	38	where	where	SCONJ
ejpam-3951	124	39	fi	fi	NOUN
ejpam-3951	124	40	,	,	PUNCT
ejpam-3951	124	41	t	t	PROPN
ejpam-3951	124	42	is	be	AUX
ejpam-3951	124	43	given	give	VERB
ejpam-3951	124	44	by	by	ADP
ejpam-3951	124	45	the	the	DET
ejpam-3951	124	46	formula	formula	NOUN
ejpam-3951	124	47	(	(	PUNCT
ejpam-3951	124	48	9	9	NUM
ejpam-3951	124	49	)	)	PUNCT
ejpam-3951	124	50	.	.	PUNCT
ejpam-3951	125	1	y	y	PROPN
ejpam-3951	125	2	(	(	PUNCT
ejpam-3951	125	3	t	t	PROPN
ejpam-3951	125	4	)	)	PUNCT
ejpam-3951	125	5	can	can	AUX
ejpam-3951	125	6	be	be	AUX
ejpam-3951	125	7	seen	see	VERB
ejpam-3951	125	8	as	as	ADP
ejpam-3951	125	9	the	the	DET
ejpam-3951	125	10	”	"	PUNCT
ejpam-3951	125	11	limit	limit	NOUN
ejpam-3951	125	12	”	"	PUNCT
ejpam-3951	125	13	of	of	ADP
ejpam-3951	125	14	yn(t	yn(t	PROPN
ejpam-3951	125	15	)	)	PUNCT
ejpam-3951	126	1	=	=	PRON
ejpam-3951	126	2	{	{	PUNCT
ejpam-3951	126	3	(	(	PUNCT
ejpam-3951	126	4	y1,n(t	y1,n(t	NOUN
ejpam-3951	126	5	)	)	PUNCT
ejpam-3951	126	6	,	,	PUNCT
ejpam-3951	126	7	...	...	PUNCT
ejpam-3951	126	8	,	,	PUNCT
ejpam-3951	126	9	yd	yd	NOUN
ejpam-3951	126	10	,	,	PUNCT
ejpam-3951	126	11	n(t	n(t	NOUN
ejpam-3951	126	12	)	)	PUNCT
ejpam-3951	126	13	)	)	PUNCT
ejpam-3951	126	14	}	}	PUNCT
ejpam-3951	126	15	where	where	SCONJ
ejpam-3951	126	16	yi	yi	PROPN
ejpam-3951	126	17	,	,	PUNCT
ejpam-3951	126	18	n(t	n(t	PROPN
ejpam-3951	126	19	)	)	PUNCT
ejpam-3951	126	20	,	,	PUNCT
ejpam-3951	126	21	i	i	PRON
ejpam-3951	126	22	=	=	NOUN
ejpam-3951	126	23	1	1	NUM
ejpam-3951	126	24	,	,	PUNCT
ejpam-3951	126	25	..	..	PUNCT
ejpam-3951	126	26	,	,	PUNCT
ejpam-3951	126	27	d	d	X
ejpam-3951	126	28	are	be	AUX
ejpam-3951	126	29	defined	define	VERB
ejpam-3951	126	30	as	as	ADP
ejpam-3951	126	31	in	in	ADP
ejpam-3951	126	32	(	(	PUNCT
ejpam-3951	126	33	8)	8)	NUM
ejpam-3951	126	34	:	:	PUNCT
ejpam-3951	126	35	p	p	X
ejpam-3951	127	1	[	[	X
ejpam-3951	127	2	y1,n(t	y1,n(t	X
ejpam-3951	127	3	)	)	PUNCT
ejpam-3951	127	4	≤	≤	NOUN
ejpam-3951	127	5	y1	y1	PROPN
ejpam-3951	127	6	,	,	PUNCT
ejpam-3951	127	7	...	...	PUNCT
ejpam-3951	127	8	,	,	PUNCT
ejpam-3951	127	9	yd	yd	NOUN
ejpam-3951	127	10	,	,	PUNCT
ejpam-3951	127	11	n(t	n(t	NOUN
ejpam-3951	127	12	)	)	PUNCT
ejpam-3951	127	13	≤	≤	NUM
ejpam-3951	127	14	yd]→	yd]→	PROPN
ejpam-3951	127	15	ft(y1	ft(y1	PROPN
ejpam-3951	127	16	,	,	PUNCT
ejpam-3951	127	17	...	...	PUNCT
ejpam-3951	127	18	,	,	PUNCT
ejpam-3951	127	19	yd	yd	PROPN
ejpam-3951	127	20	)	)	PUNCT
ejpam-3951	127	21	,	,	PUNCT
ejpam-3951	127	22	n→∞.	n→∞.	NUM
ejpam-3951	127	23	(	(	PUNCT
ejpam-3951	127	24	13	13	NUM
ejpam-3951	127	25	)	)	PUNCT
ejpam-3951	127	26	and	and	CCONJ
ejpam-3951	127	27	according	accord	VERB
ejpam-3951	127	28	to	to	ADP
ejpam-3951	127	29	de	de	X
ejpam-3951	127	30	-	-	X
ejpam-3951	127	31	haan[9	haan[9	NUM
ejpam-3951	127	32	]	]	PUNCT
ejpam-3951	127	33	,	,	PUNCT
ejpam-3951	127	34	ft(y1	ft(y1	PROPN
ejpam-3951	127	35	,	,	PUNCT
ejpam-3951	127	36	...	...	PUNCT
ejpam-3951	127	37	,	,	PUNCT
ejpam-3951	127	38	yd	yd	NOUN
ejpam-3951	127	39	)	)	PUNCT
ejpam-3951	127	40	=	=	NOUN
ejpam-3951	127	41	gt∗(y1	gt∗(y1	PROPN
ejpam-3951	127	42	,	,	PUNCT
ejpam-3951	127	43	...	...	PUNCT
ejpam-3951	127	44	,	,	PUNCT
ejpam-3951	127	45	yd	yd	NOUN
ejpam-3951	127	46	)	)	PUNCT
ejpam-3951	127	47	where	where	SCONJ
ejpam-3951	127	48	g∗	g∗	PROPN
ejpam-3951	127	49	is	be	AUX
ejpam-3951	127	50	the	the	DET
ejpam-3951	127	51	multivariate	multivariate	NOUN
ejpam-3951	127	52	extreme	extreme	ADJ
ejpam-3951	127	53	value	value	NOUN
ejpam-3951	127	54	distribution	distribution	NOUN
ejpam-3951	127	55	.	.	PUNCT
ejpam-3951	128	1	proposition	proposition	NOUN
ejpam-3951	128	2	1	1	NUM
ejpam-3951	128	3	.	.	PUNCT
ejpam-3951	129	1	let	let	VERB
ejpam-3951	129	2	y	y	PROPN
ejpam-3951	129	3	(	(	PUNCT
ejpam-3951	129	4	t	t	PROPN
ejpam-3951	129	5	)	)	PUNCT
ejpam-3951	129	6	be	be	AUX
ejpam-3951	129	7	a	a	DET
ejpam-3951	129	8	vector	vector	NOUN
ejpam-3951	129	9	of	of	ADP
ejpam-3951	129	10	extremal	extremal	ADJ
ejpam-3951	129	11	processes	process	NOUN
ejpam-3951	129	12	in	in	ADP
ejpam-3951	129	13	rd	rd	PROPN
ejpam-3951	129	14	,	,	PUNCT
ejpam-3951	129	15	with	with	ADP
ejpam-3951	129	16	joint	joint	ADJ
ejpam-3951	129	17	distribution	distribution	NOUN
ejpam-3951	129	18	ft	ft	NOUN
ejpam-3951	129	19	and	and	CCONJ
ejpam-3951	129	20	marginal	marginal	ADJ
ejpam-3951	129	21	fi	fi	NOUN
ejpam-3951	129	22	,	,	PUNCT
ejpam-3951	129	23	t	t	PROPN
ejpam-3951	129	24	,	,	PUNCT
ejpam-3951	129	25	i	i	NOUN
ejpam-3951	129	26	=	=	NOUN
ejpam-3951	129	27	1	1	NUM
ejpam-3951	129	28	,	,	PUNCT
ejpam-3951	129	29	...	...	PUNCT
ejpam-3951	129	30	,	,	PUNCT
ejpam-3951	129	31	d.	d.	PROPN
ejpam-3951	129	32	then	then	ADV
ejpam-3951	129	33	,	,	PUNCT
ejpam-3951	129	34	there	there	PRON
ejpam-3951	129	35	exists	exist	VERB
ejpam-3951	129	36	a	a	DET
ejpam-3951	129	37	unique	unique	ADJ
ejpam-3951	129	38	convex	convex	NOUN
ejpam-3951	129	39	function	function	NOUN
ejpam-3951	129	40	bt	bt	NOUN
ejpam-3951	129	41	:	:	PUNCT
ejpam-3951	130	1	[	[	X
ejpam-3951	130	2	0,∞]×	0,∞]×	X
ejpam-3951	130	3	sd	sd	X
ejpam-3951	130	4	→	→	SYM
ejpam-3951	131	1	[	[	X
ejpam-3951	131	2	0;∞	0;∞	NOUN
ejpam-3951	131	3	[	[	PUNCT
ejpam-3951	131	4	such	such	ADJ
ejpam-3951	131	5	that	that	SCONJ
ejpam-3951	131	6	a	a	DET
ejpam-3951	131	7	copula	copula	NOUN
ejpam-3951	131	8	associeted	associete	VERB
ejpam-3951	131	9	to	to	PART
ejpam-3951	131	10	ft	ft	PART
ejpam-3951	131	11	be	be	AUX
ejpam-3951	131	12	defined	define	VERB
ejpam-3951	131	13	by	by	ADP
ejpam-3951	131	14	,	,	PUNCT
ejpam-3951	131	15	c∗t	c∗t	NOUN
ejpam-3951	131	16	(	(	PUNCT
ejpam-3951	131	17	u1	u1	NOUN
ejpam-3951	131	18	,	,	PUNCT
ejpam-3951	131	19	...	...	PUNCT
ejpam-3951	131	20	,	,	PUNCT
ejpam-3951	131	21	ud	ud	INTJ
ejpam-3951	131	22	)	)	PUNCT
ejpam-3951	131	23	=	=	NOUN
ejpam-3951	131	24	exp	exp	NOUN
ejpam-3951	131	25	{	{	PUNCT
ejpam-3951	131	26	−	−	PROPN
ejpam-3951	132	1	(	(	PUNCT
ejpam-3951	132	2	d∑	d∑	PROPN
ejpam-3951	132	3	i=1	i=1	PROPN
ejpam-3951	132	4	ũi	ũi	PROPN
ejpam-3951	132	5	,	,	PUNCT
ejpam-3951	132	6	t	t	PROPN
ejpam-3951	132	7	)	)	PUNCT
ejpam-3951	132	8	bt	bt	PROPN
ejpam-3951	132	9	(	(	PUNCT
ejpam-3951	132	10	ũ1,t∑d	ũ1,t∑d	ADV
ejpam-3951	132	11	i=1	i=1	PROPN
ejpam-3951	132	12	ũi	ũi	PROPN
ejpam-3951	132	13	,	,	PUNCT
ejpam-3951	132	14	t	t	PROPN
ejpam-3951	132	15	,	,	PUNCT
ejpam-3951	132	16	...	...	PUNCT
ejpam-3951	132	17	,	,	PUNCT
ejpam-3951	132	18	ũd	ũd	PRON
ejpam-3951	132	19	,	,	PUNCT
ejpam-3951	132	20	t∑d	t∑d	ADV
ejpam-3951	132	21	i=1	i=1	PROPN
ejpam-3951	132	22	ũi	ũi	PROPN
ejpam-3951	132	23	,	,	PUNCT
ejpam-3951	132	24	t	t	NOUN
ejpam-3951	132	25	)	)	PUNCT
ejpam-3951	132	26	}	}	PUNCT
ejpam-3951	132	27	,	,	PUNCT
ejpam-3951	132	28	(	(	PUNCT
ejpam-3951	132	29	14	14	NUM
ejpam-3951	132	30	)	)	PUNCT
ejpam-3951	132	31	where	where	SCONJ
ejpam-3951	132	32	sd	sd	ADV
ejpam-3951	132	33	=	=	SYM
ejpam-3951	132	34	{	{	PUNCT
ejpam-3951	132	35	(	(	PUNCT
ejpam-3951	132	36	x1	x1	PROPN
ejpam-3951	132	37	,	,	PUNCT
ejpam-3951	132	38	..	..	PUNCT
ejpam-3951	132	39	,	,	PUNCT
ejpam-3951	132	40	xd	xd	INTJ
ejpam-3951	133	1	)	)	PUNCT
ejpam-3951	133	2	∈	∈	PROPN
ejpam-3951	133	3	rd/	rd/	NOUN
ejpam-3951	133	4	∑d	∑d	X
ejpam-3951	134	1	i=1	i=1	X
ejpam-3951	134	2	xi	xi	PUNCT
ejpam-3951	134	3	≤	≤	NUM
ejpam-3951	134	4	1	1	NUM
ejpam-3951	134	5	}	}	PUNCT
ejpam-3951	134	6	is	be	AUX
ejpam-3951	134	7	the	the	DET
ejpam-3951	134	8	simplex	simplex	NOUN
ejpam-3951	134	9	defined	define	VERB
ejpam-3951	134	10	on	on	ADP
ejpam-3951	134	11	rd	rd	PROPN
ejpam-3951	134	12	and	and	CCONJ
ejpam-3951	134	13	ũi	ũi	PROPN
ejpam-3951	134	14	,	,	PUNCT
ejpam-3951	134	15	t	t	X
ejpam-3951	134	16	=	=	PUNCT
ejpam-3951	135	1	µi	µi	INTJ
ejpam-3951	135	2	−	−	X
ejpam-3951	136	1	σi	σi	INTJ
ejpam-3951	136	2	ξi	ξi	PROPN
ejpam-3951	136	3	[	[	PUNCT
ejpam-3951	136	4	1−	1−	NUM
ejpam-3951	136	5	(	(	PUNCT
ejpam-3951	136	6	−	−	PROPN
ejpam-3951	136	7	lnui	lnui	PROPN
ejpam-3951	136	8	t	t	PROPN
ejpam-3951	136	9	)	)	PUNCT
ejpam-3951	136	10	−ξi	−ξi	ADP
ejpam-3951	136	11	]	]	PUNCT
ejpam-3951	136	12	,	,	PUNCT
ejpam-3951	136	13	i	i	PRON
ejpam-3951	136	14	=	=	NOUN
ejpam-3951	136	15	1	1	NUM
ejpam-3951	136	16	,	,	PUNCT
ejpam-3951	136	17	2	2	NUM
ejpam-3951	136	18	,	,	PUNCT
ejpam-3951	136	19	...	...	PUNCT
ejpam-3951	136	20	,	,	PUNCT
ejpam-3951	136	21	d.	d.	PROPN
ejpam-3951	136	22	proof	proof	NOUN
ejpam-3951	136	23	.	.	PUNCT
ejpam-3951	137	1	according	accord	VERB
ejpam-3951	137	2	to	to	ADP
ejpam-3951	137	3	pickands	pickand	NOUN
ejpam-3951	137	4	,	,	PUNCT
ejpam-3951	137	5	the	the	DET
ejpam-3951	137	6	function	function	NOUN
ejpam-3951	137	7	g∗	g∗	NOUN
ejpam-3951	137	8	is	be	AUX
ejpam-3951	137	9	given	give	VERB
ejpam-3951	137	10	(	(	PUNCT
ejpam-3951	137	11	see	see	VERB
ejpam-3951	137	12	falk[12	falk[12	NOUN
ejpam-3951	137	13	]	]	PUNCT
ejpam-3951	137	14	and	and	CCONJ
ejpam-3951	137	15	resnick[19	resnick[19	NOUN
ejpam-3951	137	16	]	]	PUNCT
ejpam-3951	137	17	)	)	PUNCT
ejpam-3951	137	18	by	by	ADP
ejpam-3951	137	19	:	:	PUNCT
ejpam-3951	137	20	g∗(x1	g∗(x1	NOUN
ejpam-3951	137	21	,	,	PUNCT
ejpam-3951	137	22	...	...	PUNCT
ejpam-3951	137	23	,	,	PUNCT
ejpam-3951	137	24	xd	xd	ADP
ejpam-3951	137	25	)	)	PUNCT
ejpam-3951	137	26	=	=	SYM
ejpam-3951	137	27	exp	exp	NOUN
ejpam-3951	137	28	{	{	PUNCT
ejpam-3951	137	29	−	−	PROPN
ejpam-3951	137	30	(	(	PUNCT
ejpam-3951	137	31	d∑	d∑	PROPN
ejpam-3951	137	32	i=1	i=1	X
ejpam-3951	137	33	xi	xi	X
ejpam-3951	137	34	)	)	PUNCT
ejpam-3951	138	1	a	a	DET
ejpam-3951	138	2	(	(	PUNCT
ejpam-3951	138	3	x1∑d	x1∑d	PROPN
ejpam-3951	138	4	i=1	i=1	PROPN
ejpam-3951	138	5	xi	xi	PROPN
ejpam-3951	138	6	,	,	PUNCT
ejpam-3951	138	7	...	...	PUNCT
ejpam-3951	138	8	,	,	PUNCT
ejpam-3951	138	9	xd∑d	xd∑d	PROPN
ejpam-3951	138	10	i=1	i=1	PROPN
ejpam-3951	138	11	xi	xi	PROPN
ejpam-3951	138	12	)	)	PUNCT
ejpam-3951	138	13	}	}	PUNCT
ejpam-3951	138	14	,	,	PUNCT
ejpam-3951	138	15	(	(	PUNCT
ejpam-3951	138	16	15	15	NUM
ejpam-3951	138	17	)	)	PUNCT
ejpam-3951	138	18	where	where	SCONJ
ejpam-3951	138	19	the	the	DET
ejpam-3951	138	20	convex	convex	NOUN
ejpam-3951	138	21	function	function	VERB
ejpam-3951	138	22	a	a	DET
ejpam-3951	138	23	:	:	PUNCT
ejpam-3951	138	24	sd	sd	NOUN
ejpam-3951	138	25	→	→	SYM
ejpam-3951	138	26	[	[	PUNCT
ejpam-3951	138	27	1	1	NUM
ejpam-3951	138	28	d	d	NOUN
ejpam-3951	138	29	,	,	PUNCT
ejpam-3951	138	30	1	1	NUM
ejpam-3951	138	31	]	]	PUNCT
ejpam-3951	138	32	,	,	PUNCT
ejpam-3951	138	33	is	be	AUX
ejpam-3951	138	34	the	the	DET
ejpam-3951	138	35	pickands	pickand	NOUN
ejpam-3951	138	36	dependence	dependence	NOUN
ejpam-3951	138	37	function	function	NOUN
ejpam-3951	138	38	.	.	PUNCT
ejpam-3951	139	1	since	since	SCONJ
ejpam-3951	139	2	ft(x1	ft(x1	NUM
ejpam-3951	139	3	,	,	PUNCT
ejpam-3951	139	4	...	...	PUNCT
ejpam-3951	139	5	,	,	PUNCT
ejpam-3951	139	6	xd	xd	ADP
ejpam-3951	139	7	)	)	PUNCT
ejpam-3951	139	8	=	=	SYM
ejpam-3951	139	9	gt∗(x1	gt∗(x1	PROPN
ejpam-3951	139	10	,	,	PUNCT
ejpam-3951	139	11	x2	x2	PROPN
ejpam-3951	139	12	,	,	PUNCT
ejpam-3951	139	13	...	...	PUNCT
ejpam-3951	139	14	,	,	PUNCT
ejpam-3951	139	15	xd	xd	ADP
ejpam-3951	139	16	)	)	PUNCT
ejpam-3951	139	17	,	,	PUNCT
ejpam-3951	139	18	then	then	ADV
ejpam-3951	139	19	ft(x1	ft(x1	NUM
ejpam-3951	139	20	,	,	PUNCT
ejpam-3951	139	21	...	...	PUNCT
ejpam-3951	139	22	,	,	PUNCT
ejpam-3951	139	23	xd	xd	ADP
ejpam-3951	139	24	)	)	PUNCT
ejpam-3951	139	25	=	=	SYM
ejpam-3951	139	26	exp	exp	NOUN
ejpam-3951	139	27	{	{	PUNCT
ejpam-3951	139	28	−t	−t	NOUN
ejpam-3951	139	29	(	(	PUNCT
ejpam-3951	139	30	d∑	d∑	NOUN
ejpam-3951	139	31	i=1	i=1	X
ejpam-3951	139	32	xi	xi	X
ejpam-3951	139	33	)	)	PUNCT
ejpam-3951	139	34	a	a	DET
ejpam-3951	139	35	(	(	PUNCT
ejpam-3951	139	36	x1∑d	x1∑d	PROPN
ejpam-3951	139	37	i=1	i=1	PROPN
ejpam-3951	139	38	xi	xi	PROPN
ejpam-3951	139	39	,	,	PUNCT
ejpam-3951	139	40	...	...	PUNCT
ejpam-3951	139	41	,	,	PUNCT
ejpam-3951	139	42	xd∑d	xd∑d	PROPN
ejpam-3951	139	43	i=1	i=1	PROPN
ejpam-3951	139	44	xi	xi	PROPN
ejpam-3951	139	45	)	)	PUNCT
ejpam-3951	139	46	}	}	PUNCT
ejpam-3951	139	47	(	(	PUNCT
ejpam-3951	139	48	16	16	NUM
ejpam-3951	139	49	)	)	PUNCT
ejpam-3951	139	50	the	the	DET
ejpam-3951	139	51	marginal	marginal	ADJ
ejpam-3951	139	52	distribution	distribution	NOUN
ejpam-3951	139	53	fi	fi	NOUN
ejpam-3951	139	54	,	,	PUNCT
ejpam-3951	139	55	t	t	PROPN
ejpam-3951	139	56	of	of	ADP
ejpam-3951	139	57	ft	ft	PART
ejpam-3951	139	58	being	be	AUX
ejpam-3951	139	59	continuous	continuous	ADJ
ejpam-3951	139	60	,	,	PUNCT
ejpam-3951	139	61	according	accord	VERB
ejpam-3951	139	62	to	to	ADP
ejpam-3951	139	63	sklar	sklar	PROPN
ejpam-3951	139	64	’s	’s	PART
ejpam-3951	139	65	theorem	theorem	ADJ
ejpam-3951	139	66	,	,	PUNCT
ejpam-3951	139	67	so	so	ADV
ejpam-3951	139	68	,	,	PUNCT
ejpam-3951	139	69	there	there	PRON
ejpam-3951	139	70	exists	exist	VERB
ejpam-3951	139	71	a	a	DET
ejpam-3951	139	72	unique	unique	ADJ
ejpam-3951	139	73	copula	copula	NOUN
ejpam-3951	139	74	c∗t	c∗t	NOUN
ejpam-3951	139	75	such	such	ADJ
ejpam-3951	139	76	that	that	SCONJ
ejpam-3951	139	77	,	,	PUNCT
ejpam-3951	139	78	ft(x1	ft(x1	NOUN
ejpam-3951	139	79	,	,	PUNCT
ejpam-3951	139	80	...	...	PUNCT
ejpam-3951	139	81	,	,	PUNCT
ejpam-3951	139	82	xd	xd	ADP
ejpam-3951	139	83	)	)	PUNCT
ejpam-3951	139	84	=	=	SYM
ejpam-3951	139	85	c∗t	c∗t	NOUN
ejpam-3951	139	86	(	(	PUNCT
ejpam-3951	139	87	f1,t(x1	f1,t(x1	PROPN
ejpam-3951	139	88	)	)	PUNCT
ejpam-3951	139	89	,	,	PUNCT
ejpam-3951	139	90	...	...	PUNCT
ejpam-3951	139	91	,	,	PUNCT
ejpam-3951	139	92	fd	fd	X
ejpam-3951	139	93	,	,	PUNCT
ejpam-3951	139	94	t(xd	t(xd	NOUN
ejpam-3951	139	95	)	)	PUNCT
ejpam-3951	139	96	)	)	PUNCT
ejpam-3951	139	97	,	,	PUNCT
ejpam-3951	139	98	(	(	PUNCT
ejpam-3951	139	99	17	17	NUM
ejpam-3951	139	100	)	)	PUNCT
ejpam-3951	139	101	which	which	PRON
ejpam-3951	139	102	can	can	AUX
ejpam-3951	139	103	be	be	AUX
ejpam-3951	139	104	write	write	ADJ
ejpam-3951	139	105	,	,	PUNCT
ejpam-3951	139	106	by	by	ADP
ejpam-3951	139	107	taking	take	VERB
ejpam-3951	139	108	ui	ui	PROPN
ejpam-3951	139	109	=	=	PUNCT
ejpam-3951	139	110	fi	fi	NOUN
ejpam-3951	139	111	,	,	PUNCT
ejpam-3951	139	112	t(xi	t(xi	NUM
ejpam-3951	139	113	)	)	PUNCT
ejpam-3951	139	114	for	for	ADP
ejpam-3951	139	115	all	all	DET
ejpam-3951	139	116	i	i	PRON
ejpam-3951	139	117	,	,	PUNCT
ejpam-3951	139	118	such	such	ADJ
ejpam-3951	139	119	as	as	ADP
ejpam-3951	139	120	c∗t	c∗t	NOUN
ejpam-3951	139	121	(	(	PUNCT
ejpam-3951	139	122	u1	u1	NOUN
ejpam-3951	139	123	,	,	PUNCT
ejpam-3951	139	124	...	...	PUNCT
ejpam-3951	139	125	,	,	PUNCT
ejpam-3951	139	126	ud	ud	INTJ
ejpam-3951	139	127	)	)	PUNCT
ejpam-3951	139	128	=	=	NOUN
ejpam-3951	139	129	ft(f	ft(f	X
ejpam-3951	139	130	−1	−1	NOUN
ejpam-3951	139	131	1,t	1,t	NOUN
ejpam-3951	139	132	(	(	PUNCT
ejpam-3951	139	133	u1	u1	NOUN
ejpam-3951	139	134	)	)	PUNCT
ejpam-3951	139	135	,	,	PUNCT
ejpam-3951	139	136	...	...	PUNCT
ejpam-3951	139	137	,	,	PUNCT
ejpam-3951	139	138	f−1	f−1	PROPN
ejpam-3951	139	139	d	d	PROPN
ejpam-3951	139	140	,	,	PUNCT
ejpam-3951	139	141	t	t	PROPN
ejpam-3951	139	142	(	(	PUNCT
ejpam-3951	139	143	ud	ud	NOUN
ejpam-3951	139	144	)	)	PUNCT
ejpam-3951	139	145	)	)	PUNCT
ejpam-3951	139	146	.	.	PUNCT
ejpam-3951	140	1	(	(	PUNCT
ejpam-3951	140	2	18	18	NUM
ejpam-3951	140	3	)	)	PUNCT
ejpam-3951	140	4	d.	d.	PROPN
ejpam-3951	140	5	barro	barro	PROPN
ejpam-3951	140	6	et	et	PROPN
ejpam-3951	140	7	al	al	PROPN
ejpam-3951	140	8	.	.	PUNCT
ejpam-3951	140	9	/	/	SYM
ejpam-3951	140	10	eur	eur	PROPN
ejpam-3951	140	11	.	.	PUNCT
ejpam-3951	141	1	j.	j.	PROPN
ejpam-3951	141	2	pure	pure	PROPN
ejpam-3951	141	3	appl	appl	PROPN
ejpam-3951	141	4	.	.	PROPN
ejpam-3951	141	5	math	math	PROPN
ejpam-3951	141	6	,	,	PUNCT
ejpam-3951	141	7	14	14	NUM
ejpam-3951	141	8	(	(	PUNCT
ejpam-3951	141	9	3	3	NUM
ejpam-3951	141	10	)	)	PUNCT
ejpam-3951	141	11	(	(	PUNCT
ejpam-3951	141	12	2021	2021	NUM
ejpam-3951	141	13	)	)	PUNCT
ejpam-3951	141	14	,	,	PUNCT
ejpam-3951	141	15	1057	1057	NUM
ejpam-3951	141	16	-	-	SYM
ejpam-3951	141	17	1081	1081	NUM
ejpam-3951	141	18	1063	1063	NUM
ejpam-3951	141	19	combining	combine	VERB
ejpam-3951	141	20	the	the	DET
ejpam-3951	141	21	relations	relation	NOUN
ejpam-3951	141	22	(	(	PUNCT
ejpam-3951	141	23	16	16	NUM
ejpam-3951	141	24	)	)	PUNCT
ejpam-3951	141	25	and	and	CCONJ
ejpam-3951	141	26	(	(	PUNCT
ejpam-3951	141	27	18	18	NUM
ejpam-3951	141	28	)	)	PUNCT
ejpam-3951	141	29	give	give	VERB
ejpam-3951	141	30	us	we	PRON
ejpam-3951	141	31	,	,	PUNCT
ejpam-3951	141	32	c∗t	c∗t	NOUN
ejpam-3951	141	33	(	(	PUNCT
ejpam-3951	141	34	u1	u1	NOUN
ejpam-3951	141	35	,	,	PUNCT
ejpam-3951	141	36	...	...	PUNCT
ejpam-3951	141	37	,	,	PUNCT
ejpam-3951	141	38	ud	ud	INTJ
ejpam-3951	141	39	)	)	PUNCT
ejpam-3951	141	40	=	=	NOUN
ejpam-3951	141	41	exp	exp	NOUN
ejpam-3951	141	42	{	{	PUNCT
ejpam-3951	141	43	−t	−t	NOUN
ejpam-3951	141	44	(	(	PUNCT
ejpam-3951	141	45	d∑	d∑	PROPN
ejpam-3951	141	46	i=1	i=1	PROPN
ejpam-3951	142	1	f−1	f−1	PROPN
ejpam-3951	142	2	i	i	PRON
ejpam-3951	142	3	,	,	PUNCT
ejpam-3951	142	4	t	t	PROPN
ejpam-3951	142	5	(	(	PUNCT
ejpam-3951	142	6	ui	ui	PROPN
ejpam-3951	142	7	)	)	PUNCT
ejpam-3951	142	8	)	)	PUNCT
ejpam-3951	143	1	a	a	DET
ejpam-3951	143	2	(	(	PUNCT
ejpam-3951	143	3	f−1	f−1	PROPN
ejpam-3951	143	4	1,t	1,t	PROPN
ejpam-3951	143	5	(	(	PUNCT
ejpam-3951	143	6	u1)∑d	u1)∑d	PROPN
ejpam-3951	143	7	i=1	i=1	PROPN
ejpam-3951	143	8	f	f	PROPN
ejpam-3951	143	9	−1	−1	NOUN
ejpam-3951	143	10	i	i	PROPN
ejpam-3951	143	11	,	,	PUNCT
ejpam-3951	143	12	t	t	PROPN
ejpam-3951	143	13	(	(	PUNCT
ejpam-3951	143	14	ui	ui	PROPN
ejpam-3951	143	15	)	)	PUNCT
ejpam-3951	143	16	,	,	PUNCT
ejpam-3951	143	17	...	...	PUNCT
ejpam-3951	143	18	,	,	PUNCT
ejpam-3951	143	19	f−1	f−1	PROPN
ejpam-3951	143	20	d	d	PROPN
ejpam-3951	143	21	,	,	PUNCT
ejpam-3951	143	22	t	t	PROPN
ejpam-3951	143	23	(	(	PUNCT
ejpam-3951	143	24	ud)∑d	ud)∑d	PROPN
ejpam-3951	143	25	i=1	i=1	PROPN
ejpam-3951	143	26	f	f	PROPN
ejpam-3951	143	27	−1	−1	NOUN
ejpam-3951	144	1	i	i	PROPN
ejpam-3951	144	2	,	,	PUNCT
ejpam-3951	144	3	t	t	PROPN
ejpam-3951	144	4	(	(	PUNCT
ejpam-3951	144	5	ui	ui	PROPN
ejpam-3951	144	6	)	)	PUNCT
ejpam-3951	144	7	)	)	PUNCT
ejpam-3951	144	8	}	}	PUNCT
ejpam-3951	144	9	,	,	PUNCT
ejpam-3951	144	10	which	which	PRON
ejpam-3951	144	11	gives	give	VERB
ejpam-3951	144	12	,	,	PUNCT
ejpam-3951	144	13	c∗t	c∗t	NOUN
ejpam-3951	144	14	(	(	PUNCT
ejpam-3951	144	15	u1	u1	NOUN
ejpam-3951	144	16	,	,	PUNCT
ejpam-3951	144	17	...	...	PUNCT
ejpam-3951	144	18	,	,	PUNCT
ejpam-3951	144	19	ud	ud	INTJ
ejpam-3951	144	20	)	)	PUNCT
ejpam-3951	144	21	=	=	NOUN
ejpam-3951	144	22	exp	exp	NOUN
ejpam-3951	144	23	{	{	PUNCT
ejpam-3951	144	24	−	−	PROPN
ejpam-3951	144	25	(	(	PUNCT
ejpam-3951	144	26	d∑	d∑	PROPN
ejpam-3951	144	27	i=1	i=1	PROPN
ejpam-3951	145	1	ũi	ũi	PROPN
ejpam-3951	145	2	,	,	PUNCT
ejpam-3951	145	3	t	t	PROPN
ejpam-3951	145	4	)	)	PUNCT
ejpam-3951	145	5	bt	bt	PROPN
ejpam-3951	145	6	(	(	PUNCT
ejpam-3951	145	7	ũ1,t∑d	ũ1,t∑d	ADV
ejpam-3951	145	8	i=1	i=1	PROPN
ejpam-3951	145	9	ũi	ũi	PROPN
ejpam-3951	145	10	,	,	PUNCT
ejpam-3951	145	11	t	t	PROPN
ejpam-3951	145	12	,	,	PUNCT
ejpam-3951	145	13	...	...	PUNCT
ejpam-3951	145	14	,	,	PUNCT
ejpam-3951	145	15	ũd	ũd	PRON
ejpam-3951	145	16	,	,	PUNCT
ejpam-3951	145	17	t∑d	t∑d	ADV
ejpam-3951	145	18	i=1	i=1	PROPN
ejpam-3951	145	19	ũi	ũi	PROPN
ejpam-3951	145	20	,	,	PUNCT
ejpam-3951	145	21	t	t	NOUN
ejpam-3951	145	22	)	)	PUNCT
ejpam-3951	145	23	}	}	PUNCT
ejpam-3951	145	24	,	,	PUNCT
ejpam-3951	145	25	(	(	PUNCT
ejpam-3951	145	26	19	19	NUM
ejpam-3951	145	27	)	)	PUNCT
ejpam-3951	145	28	with	with	ADP
ejpam-3951	145	29	bt(x1	bt(x1	NOUN
ejpam-3951	145	30	,	,	PUNCT
ejpam-3951	145	31	...	...	PUNCT
ejpam-3951	145	32	,	,	PUNCT
ejpam-3951	145	33	xd	xd	ADP
ejpam-3951	145	34	)	)	PUNCT
ejpam-3951	145	35	=	=	SYM
ejpam-3951	146	1	ta(x1	ta(x1	NOUN
ejpam-3951	146	2	,	,	PUNCT
ejpam-3951	146	3	...	...	PUNCT
ejpam-3951	146	4	,	,	PUNCT
ejpam-3951	146	5	xd	xd	ADP
ejpam-3951	146	6	)	)	PUNCT
ejpam-3951	146	7	and	and	CCONJ
ejpam-3951	146	8	ũi	ũi	PROPN
ejpam-3951	146	9	,	,	PUNCT
ejpam-3951	146	10	t	t	PROPN
ejpam-3951	146	11	=	=	SYM
ejpam-3951	146	12	f−1	f−1	PROPN
ejpam-3951	147	1	i	i	PRON
ejpam-3951	147	2	,	,	PUNCT
ejpam-3951	147	3	t	t	PROPN
ejpam-3951	147	4	(	(	PUNCT
ejpam-3951	147	5	ui	ui	PROPN
ejpam-3951	147	6	)	)	PUNCT
ejpam-3951	147	7	,	,	PUNCT
ejpam-3951	147	8	for	for	ADP
ejpam-3951	147	9	all	all	DET
ejpam-3951	147	10	i	i	PRON
ejpam-3951	147	11	=	=	NOUN
ejpam-3951	147	12	1	1	NUM
ejpam-3951	147	13	,	,	PUNCT
ejpam-3951	147	14	2	2	NUM
ejpam-3951	147	15	,	,	PUNCT
ejpam-3951	147	16	..	..	PUNCT
ejpam-3951	147	17	,	,	PUNCT
ejpam-3951	148	1	d	d	NOUN
ejpam-3951	148	2	and	and	CCONJ
ejpam-3951	148	3	ui	ui	PROPN
ejpam-3951	148	4	∈	∈	PROPN
ejpam-3951	149	1	[	[	X
ejpam-3951	149	2	0	0	NUM
ejpam-3951	149	3	,	,	PUNCT
ejpam-3951	149	4	1	1	NUM
ejpam-3951	149	5	]	]	PUNCT
ejpam-3951	149	6	.	.	PUNCT
ejpam-3951	150	1	the	the	DET
ejpam-3951	150	2	copula	copula	PROPN
ejpam-3951	150	3	c∗t	c∗t	NOUN
ejpam-3951	150	4	being	be	AUX
ejpam-3951	150	5	unique	unique	ADJ
ejpam-3951	150	6	,	,	PUNCT
ejpam-3951	150	7	so	so	ADV
ejpam-3951	150	8	is	be	AUX
ejpam-3951	150	9	the	the	DET
ejpam-3951	150	10	function	function	NOUN
ejpam-3951	150	11	bt	bt	PROPN
ejpam-3951	150	12	.	.	PUNCT
ejpam-3951	151	1	the	the	DET
ejpam-3951	151	2	latter	latter	ADJ
ejpam-3951	151	3	function	function	NOUN
ejpam-3951	151	4	is	be	AUX
ejpam-3951	151	5	convex	convex	NOUN
ejpam-3951	151	6	,	,	PUNCT
ejpam-3951	151	7	being	be	AUX
ejpam-3951	151	8	the	the	DET
ejpam-3951	151	9	product	product	NOUN
ejpam-3951	151	10	of	of	ADP
ejpam-3951	151	11	a	a	DET
ejpam-3951	151	12	positive	positive	ADJ
ejpam-3951	151	13	real	real	NOUN
ejpam-3951	151	14	and	and	CCONJ
ejpam-3951	151	15	a	a	DET
ejpam-3951	151	16	convex	convex	NOUN
ejpam-3951	151	17	function	function	NOUN
ejpam-3951	151	18	(	(	PUNCT
ejpam-3951	151	19	function	function	NOUN
ejpam-3951	151	20	a	a	X
ejpam-3951	151	21	)	)	PUNCT
ejpam-3951	151	22	the	the	DET
ejpam-3951	151	23	following	following	ADJ
ejpam-3951	151	24	result	result	NOUN
ejpam-3951	151	25	proposes	propose	VERB
ejpam-3951	151	26	a	a	DET
ejpam-3951	151	27	new	new	ADJ
ejpam-3951	151	28	measure	measure	NOUN
ejpam-3951	151	29	of	of	ADP
ejpam-3951	151	30	stochastic	stochastic	ADJ
ejpam-3951	151	31	multivariate	multivariate	NOUN
ejpam-3951	151	32	dependence	dependence	NOUN
ejpam-3951	151	33	.	.	PUNCT
ejpam-3951	152	1	proposition	proposition	NOUN
ejpam-3951	152	2	2	2	NUM
ejpam-3951	152	3	.	.	PUNCT
ejpam-3951	153	1	let	let	VERB
ejpam-3951	153	2	y	y	PROPN
ejpam-3951	153	3	(	(	PUNCT
ejpam-3951	153	4	t	t	PROPN
ejpam-3951	153	5	)	)	PUNCT
ejpam-3951	153	6	be	be	AUX
ejpam-3951	153	7	a	a	DET
ejpam-3951	153	8	vector	vector	NOUN
ejpam-3951	153	9	of	of	ADP
ejpam-3951	153	10	extremal	extremal	ADJ
ejpam-3951	153	11	processes	process	NOUN
ejpam-3951	153	12	in	in	ADP
ejpam-3951	153	13	rd	rd	PROPN
ejpam-3951	153	14	,	,	PUNCT
ejpam-3951	153	15	with	with	ADP
ejpam-3951	153	16	joint	joint	ADJ
ejpam-3951	153	17	distribution	distribution	NOUN
ejpam-3951	153	18	ft	ft	NOUN
ejpam-3951	153	19	and	and	CCONJ
ejpam-3951	153	20	marginal	marginal	ADJ
ejpam-3951	153	21	fi	fi	NOUN
ejpam-3951	153	22	,	,	PUNCT
ejpam-3951	153	23	t	t	PROPN
ejpam-3951	153	24	,	,	PUNCT
ejpam-3951	153	25	i	i	NOUN
ejpam-3951	153	26	=	=	NOUN
ejpam-3951	153	27	1	1	NUM
ejpam-3951	153	28	,	,	PUNCT
ejpam-3951	153	29	...	...	PUNCT
ejpam-3951	153	30	,	,	PUNCT
ejpam-3951	153	31	d.	d.	PROPN
ejpam-3951	153	32	let	let	AUX
ejpam-3951	153	33	consider	consider	VERB
ejpam-3951	153	34	k	k	PROPN
ejpam-3951	153	35	random	random	ADJ
ejpam-3951	153	36	vector	vector	NOUN
ejpam-3951	153	37	{	{	PUNCT
ejpam-3951	153	38	y	y	PROPN
ejpam-3951	153	39	(	(	PUNCT
ejpam-3951	153	40	tj	tj	NOUN
ejpam-3951	153	41	)	)	PUNCT
ejpam-3951	153	42	=	=	SYM
ejpam-3951	153	43	(	(	PUNCT
ejpam-3951	153	44	y1,tj	y1,tj	INTJ
ejpam-3951	153	45	,	,	PUNCT
ejpam-3951	153	46	...	...	PUNCT
ejpam-3951	153	47	,	,	PUNCT
ejpam-3951	153	48	yd	yd	NOUN
ejpam-3951	153	49	,	,	PUNCT
ejpam-3951	153	50	tj	tj	NOUN
ejpam-3951	153	51	)	)	PUNCT
ejpam-3951	153	52	,	,	PUNCT
ejpam-3951	153	53	j	j	PROPN
ejpam-3951	154	1	=	=	SYM
ejpam-3951	154	2	1	1	NUM
ejpam-3951	154	3	,	,	PUNCT
ejpam-3951	154	4	2	2	NUM
ejpam-3951	154	5	,	,	PUNCT
ejpam-3951	154	6	..	..	PUNCT
ejpam-3951	154	7	,	,	PUNCT
ejpam-3951	154	8	k	k	X
ejpam-3951	154	9	}	}	PUNCT
ejpam-3951	154	10	and	and	CCONJ
ejpam-3951	154	11	yj	yj	PROPN
ejpam-3951	154	12	=	=	SYM
ejpam-3951	154	13	(	(	PUNCT
ejpam-3951	154	14	yj1	yj1	NOUN
ejpam-3951	154	15	,	,	PUNCT
ejpam-3951	154	16	...	...	PUNCT
ejpam-3951	154	17	,	,	PUNCT
ejpam-3951	154	18	y	y	PROPN
ejpam-3951	154	19	j	j	PROPN
ejpam-3951	154	20	d	d	X
ejpam-3951	154	21	)	)	PUNCT
ejpam-3951	154	22	∈	∈	PROPN
ejpam-3951	154	23	rd	rd	PROPN
ejpam-3951	154	24	.	.	PUNCT
ejpam-3951	155	1	then	then	ADV
ejpam-3951	155	2	,	,	PUNCT
ejpam-3951	155	3	the	the	DET
ejpam-3951	155	4	joint	joint	ADJ
ejpam-3951	155	5	finite	finite	ADJ
ejpam-3951	155	6	-	-	ADJ
ejpam-3951	155	7	dimensionnal	dimensionnal	ADJ
ejpam-3951	155	8	copula	copula	ADJ
ejpam-3951	155	9	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	155	10	...	...	PUNCT
ejpam-3951	155	11	,tk	,tk	PUNCT
ejpam-3951	155	12	of	of	ADP
ejpam-3951	155	13	y	y	PROPN
ejpam-3951	155	14	(	(	PUNCT
ejpam-3951	155	15	t1	t1	PROPN
ejpam-3951	155	16	)	)	PUNCT
ejpam-3951	155	17	,	,	PUNCT
ejpam-3951	155	18	y	y	PROPN
ejpam-3951	155	19	(	(	PUNCT
ejpam-3951	155	20	t2	t2	PROPN
ejpam-3951	155	21	)	)	PUNCT
ejpam-3951	155	22	,	,	PUNCT
ejpam-3951	155	23	...	...	PUNCT
ejpam-3951	155	24	,	,	PUNCT
ejpam-3951	155	25	y	y	PROPN
ejpam-3951	155	26	(	(	PUNCT
ejpam-3951	155	27	tk	tk	PROPN
ejpam-3951	155	28	)	)	PUNCT
ejpam-3951	155	29	is	be	AUX
ejpam-3951	155	30	defined	define	VERB
ejpam-3951	155	31	,	,	PUNCT
ejpam-3951	155	32	for	for	ADP
ejpam-3951	155	33	0	0	NUM
ejpam-3951	155	34	=	=	SYM
ejpam-3951	155	35	t0	t0	PROPN
ejpam-3951	155	36	<	<	X
ejpam-3951	155	37	t1	t1	NOUN
ejpam-3951	155	38	<	<	X
ejpam-3951	155	39	...	...	PUNCT
ejpam-3951	156	1	<	<	X
ejpam-3951	156	2	tk	tk	X
ejpam-3951	156	3	by	by	ADP
ejpam-3951	156	4	:	:	PUNCT
ejpam-3951	156	5	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	156	6	...	...	PUNCT
ejpam-3951	156	7	,tk	,tk	PUNCT
ejpam-3951	156	8	[	[	X
ejpam-3951	156	9	(	(	PUNCT
ejpam-3951	156	10	uj1	uj1	PROPN
ejpam-3951	156	11	,	,	PUNCT
ejpam-3951	156	12	...	...	PUNCT
ejpam-3951	156	13	,	,	PUNCT
ejpam-3951	156	14	u	u	PROPN
ejpam-3951	156	15	j	j	PROPN
ejpam-3951	156	16	d	d	PROPN
ejpam-3951	156	17	)	)	PUNCT
ejpam-3951	156	18	]	]	PUNCT
ejpam-3951	156	19	=	=	SYM
ejpam-3951	156	20	exp	exp	NOUN
ejpam-3951	156	21	{	{	PUNCT
ejpam-3951	156	22	−	−	PROPN
ejpam-3951	156	23	k∑	k∑	PROPN
ejpam-3951	156	24	m=1	m=1	PROPN
ejpam-3951	156	25	ltm(ũ1,tm	ltm(ũ1,tm	PROPN
ejpam-3951	156	26	,	,	PUNCT
ejpam-3951	156	27	ũ2,tm	ũ2,tm	PROPN
ejpam-3951	156	28	,	,	PUNCT
ejpam-3951	156	29	...	...	PUNCT
ejpam-3951	156	30	,	,	PUNCT
ejpam-3951	156	31	ũd	ũd	INTJ
ejpam-3951	156	32	,	,	PUNCT
ejpam-3951	156	33	tm	tm	NOUN
ejpam-3951	156	34	)	)	PUNCT
ejpam-3951	156	35	}	}	PUNCT
ejpam-3951	156	36	;	;	PUNCT
ejpam-3951	156	37	(	(	PUNCT
ejpam-3951	156	38	20	20	NUM
ejpam-3951	156	39	)	)	PUNCT
ejpam-3951	156	40	where	where	SCONJ
ejpam-3951	156	41	(	(	PUNCT
ejpam-3951	156	42	uj1	uj1	NOUN
ejpam-3951	156	43	,	,	PUNCT
ejpam-3951	156	44	...	...	PUNCT
ejpam-3951	156	45	,	,	PUNCT
ejpam-3951	156	46	u	u	PROPN
ejpam-3951	156	47	j	j	PROPN
ejpam-3951	156	48	d	d	NOUN
ejpam-3951	156	49	)	)	PUNCT
ejpam-3951	156	50	∈	∈	PROPN
ejpam-3951	157	1	[	[	X
ejpam-3951	157	2	0	0	NUM
ejpam-3951	157	3	;	;	PUNCT
ejpam-3951	157	4	1]d	1]d	NUM
ejpam-3951	157	5	,	,	PUNCT
ejpam-3951	157	6	for	for	ADP
ejpam-3951	157	7	j	j	PROPN
ejpam-3951	157	8	=	=	SYM
ejpam-3951	157	9	1	1	NUM
ejpam-3951	157	10	;	;	PUNCT
ejpam-3951	157	11	...	...	PUNCT
ejpam-3951	157	12	,	,	PUNCT
ejpam-3951	157	13	k	k	PROPN
ejpam-3951	157	14	and	and	CCONJ
ejpam-3951	157	15	ltm	ltm	PROPN
ejpam-3951	157	16	is	be	AUX
ejpam-3951	157	17	a	a	DET
ejpam-3951	157	18	suitable	suitable	ADJ
ejpam-3951	157	19	convex	convex	NOUN
ejpam-3951	157	20	funtion	funtion	NOUN
ejpam-3951	157	21	.	.	PUNCT
ejpam-3951	158	1	proof	proof	NOUN
ejpam-3951	158	2	.	.	PUNCT
ejpam-3951	159	1	the	the	DET
ejpam-3951	159	2	joint	joint	ADJ
ejpam-3951	159	3	finite	finite	ADJ
ejpam-3951	159	4	-	-	ADJ
ejpam-3951	159	5	dimensionnal	dimensionnal	ADJ
ejpam-3951	159	6	distribution	distribution	NOUN
ejpam-3951	159	7	of	of	ADP
ejpam-3951	159	8	{	{	PUNCT
ejpam-3951	159	9	y	y	PROPN
ejpam-3951	159	10	(	(	PUNCT
ejpam-3951	159	11	tj	tj	NOUN
ejpam-3951	159	12	)	)	PUNCT
ejpam-3951	159	13	=	=	SYM
ejpam-3951	159	14	(	(	PUNCT
ejpam-3951	159	15	y1,tj	y1,tj	PROPN
ejpam-3951	159	16	,	,	PUNCT
ejpam-3951	159	17	y2,tj	y2,tj	PROPN
ejpam-3951	159	18	,	,	PUNCT
ejpam-3951	159	19	...	...	PUNCT
ejpam-3951	159	20	,	,	PUNCT
ejpam-3951	159	21	yd	yd	NOUN
ejpam-3951	159	22	,	,	PUNCT
ejpam-3951	159	23	tj	tj	NOUN
ejpam-3951	159	24	)	)	PUNCT
ejpam-3951	159	25	}	}	PUNCT
ejpam-3951	159	26	,	,	PUNCT
ejpam-3951	159	27	for	for	ADP
ejpam-3951	159	28	all	all	DET
ejpam-3951	159	29	yj	yj	NOUN
ejpam-3951	159	30	=	=	SYM
ejpam-3951	159	31	(	(	PUNCT
ejpam-3951	159	32	y1	y1	INTJ
ejpam-3951	159	33	j	j	PROPN
ejpam-3951	159	34	,	,	PUNCT
ejpam-3951	159	35	...	...	PUNCT
ejpam-3951	159	36	,	,	PUNCT
ejpam-3951	159	37	y	y	PROPN
ejpam-3951	159	38	d	d	X
ejpam-3951	159	39	j	j	PROPN
ejpam-3951	159	40	)	)	PUNCT
ejpam-3951	159	41	and	and	CCONJ
ejpam-3951	159	42	j	j	PROPN
ejpam-3951	159	43	=	=	SYM
ejpam-3951	159	44	1	1	NUM
ejpam-3951	159	45	,	,	PUNCT
ejpam-3951	159	46	2	2	NUM
ejpam-3951	159	47	,	,	PUNCT
ejpam-3951	159	48	..	..	PUNCT
ejpam-3951	159	49	,	,	PUNCT
ejpam-3951	159	50	k	k	PROPN
ejpam-3951	159	51	is	be	AUX
ejpam-3951	159	52	given	give	VERB
ejpam-3951	159	53	by	by	ADP
ejpam-3951	159	54	:	:	PUNCT
ejpam-3951	159	55	p	p	X
ejpam-3951	160	1	[	[	X
ejpam-3951	160	2	(	(	PUNCT
ejpam-3951	160	3	y1,tj	y1,tj	PROPN
ejpam-3951	160	4	≤	≤	X
ejpam-3951	160	5	y	y	PROPN
ejpam-3951	160	6	j	j	PROPN
ejpam-3951	160	7	1	1	NUM
ejpam-3951	160	8	,	,	PUNCT
ejpam-3951	160	9	y2,tj	y2,tj	PROPN
ejpam-3951	160	10	≤	≤	PROPN
ejpam-3951	160	11	y	y	PROPN
ejpam-3951	160	12	j	j	PROPN
ejpam-3951	160	13	2	2	NUM
ejpam-3951	160	14	;	;	PUNCT
ejpam-3951	160	15	...	...	PUNCT
ejpam-3951	160	16	;	;	PUNCT
ejpam-3951	160	17	yd	yd	NOUN
ejpam-3951	160	18	,	,	PUNCT
ejpam-3951	160	19	tj	tj	NOUN
ejpam-3951	160	20	≤	≤	NUM
ejpam-3951	160	21	y	y	PROPN
ejpam-3951	160	22	j	j	PROPN
ejpam-3951	160	23	d	d	PROPN
ejpam-3951	160	24	)	)	PUNCT
ejpam-3951	160	25	]	]	PUNCT
ejpam-3951	161	1	=	=	PUNCT
ejpam-3951	161	2	ft1,t2,	ft1,t2,	PROPN
ejpam-3951	161	3	...	...	PUNCT
ejpam-3951	161	4	,tk((yj1	,tk((yj1	PUNCT
ejpam-3951	161	5	,	,	PUNCT
ejpam-3951	161	6	y	y	PROPN
ejpam-3951	161	7	j	j	PROPN
ejpam-3951	161	8	2	2	NUM
ejpam-3951	161	9	,	,	PUNCT
ejpam-3951	161	10	...	...	PUNCT
ejpam-3951	161	11	,	,	PUNCT
ejpam-3951	161	12	y	y	PROPN
ejpam-3951	161	13	j	j	PROPN
ejpam-3951	161	14	d	d	PROPN
ejpam-3951	161	15	)	)	PUNCT
ejpam-3951	161	16	,	,	PUNCT
ejpam-3951	161	17	according	accord	VERB
ejpam-3951	161	18	to	to	ADP
ejpam-3951	161	19	de	de	PROPN
ejpam-3951	161	20	haan[9	haan[9	PRON
ejpam-3951	161	21	]	]	PUNCT
ejpam-3951	161	22	,	,	PUNCT
ejpam-3951	161	23	which	which	PRON
ejpam-3951	161	24	gives	give	VERB
ejpam-3951	161	25	p	p	PRON
ejpam-3951	161	26	[	[	X
ejpam-3951	161	27	(	(	PUNCT
ejpam-3951	161	28	y1,tj	y1,tj	PROPN
ejpam-3951	161	29	≤	≤	X
ejpam-3951	161	30	y	y	PROPN
ejpam-3951	161	31	j	j	PROPN
ejpam-3951	161	32	1	1	NUM
ejpam-3951	161	33	;	;	PUNCT
ejpam-3951	161	34	...	...	PUNCT
ejpam-3951	161	35	;	;	PUNCT
ejpam-3951	161	36	yd	yd	NOUN
ejpam-3951	161	37	,	,	PUNCT
ejpam-3951	161	38	tj	tj	NOUN
ejpam-3951	161	39	≤	≤	NUM
ejpam-3951	161	40	y	y	PROPN
ejpam-3951	161	41	j	j	PROPN
ejpam-3951	161	42	d	d	PROPN
ejpam-3951	161	43	)	)	PUNCT
ejpam-3951	161	44	]	]	PUNCT
ejpam-3951	162	1	=	=	X
ejpam-3951	162	2	ft1	ft1	X
ejpam-3951	162	3	(	(	PUNCT
ejpam-3951	162	4	∧k	∧k	NUM
ejpam-3951	162	5	j=1	j=1	PROPN
ejpam-3951	162	6	y	y	PROPN
ejpam-3951	162	7	j	j	PROPN
ejpam-3951	162	8	1	1	NUM
ejpam-3951	162	9	,	,	PUNCT
ejpam-3951	162	10	...	...	PUNCT
ejpam-3951	162	11	,	,	PUNCT
ejpam-3951	162	12	∧k	∧k	NUM
ejpam-3951	162	13	j=1	j=1	PROPN
ejpam-3951	162	14	y	y	PROPN
ejpam-3951	162	15	j	j	PROPN
ejpam-3951	162	16	d	d	PROPN
ejpam-3951	162	17	)	)	PUNCT
ejpam-3951	162	18	×	×	PROPN
ejpam-3951	162	19	ft2−t1	ft2−t1	PROPN
ejpam-3951	162	20	(	(	PUNCT
ejpam-3951	162	21	∧k	∧k	NOUN
ejpam-3951	162	22	j=2	j=2	PROPN
ejpam-3951	162	23	y	y	PROPN
ejpam-3951	162	24	j	j	PROPN
ejpam-3951	162	25	1	1	NUM
ejpam-3951	162	26	;	;	PUNCT
ejpam-3951	162	27	...	...	PUNCT
ejpam-3951	162	28	;	;	PUNCT
ejpam-3951	162	29	∧k	∧k	NUM
ejpam-3951	162	30	j=2	j=2	PROPN
ejpam-3951	162	31	y	y	PROPN
ejpam-3951	162	32	j	j	PROPN
ejpam-3951	162	33	d	d	PROPN
ejpam-3951	162	34	)	)	PUNCT
ejpam-3951	162	35	×	×	NOUN
ejpam-3951	162	36	...	...	PUNCT
ejpam-3951	162	37	×	×	NOUN
ejpam-3951	162	38	ftk−tk−1	ftk−tk−1	PUNCT
ejpam-3951	162	39	(	(	PUNCT
ejpam-3951	162	40	yk1	yk1	NOUN
ejpam-3951	162	41	;	;	PUNCT
ejpam-3951	162	42	...	...	PUNCT
ejpam-3951	162	43	;	;	PUNCT
ejpam-3951	162	44	ykd	ykd	NOUN
ejpam-3951	162	45	)	)	PUNCT
ejpam-3951	162	46	(	(	PUNCT
ejpam-3951	162	47	21	21	NUM
ejpam-3951	162	48	)	)	PUNCT
ejpam-3951	162	49	let	let	VERB
ejpam-3951	162	50	’s	’s	PRON
ejpam-3951	162	51	take	take	VERB
ejpam-3951	162	52	uji	uji	PROPN
ejpam-3951	162	53	=	=	SYM
ejpam-3951	162	54	fi	fi	NOUN
ejpam-3951	162	55	,	,	PUNCT
ejpam-3951	162	56	tj	tj	PROPN
ejpam-3951	162	57	(	(	PUNCT
ejpam-3951	162	58	y	y	PROPN
ejpam-3951	162	59	j	j	PROPN
ejpam-3951	162	60	i	i	PROPN
ejpam-3951	162	61	)	)	PUNCT
ejpam-3951	162	62	for	for	ADP
ejpam-3951	162	63	all	all	DET
ejpam-3951	162	64	i	i	PRON
ejpam-3951	162	65	=	=	NOUN
ejpam-3951	162	66	1	1	NUM
ejpam-3951	162	67	,	,	PUNCT
ejpam-3951	162	68	...	...	PUNCT
ejpam-3951	162	69	,	,	PUNCT
ejpam-3951	163	1	d	d	PROPN
ejpam-3951	163	2	and	and	CCONJ
ejpam-3951	163	3	j	j	PROPN
ejpam-3951	163	4	=	=	SYM
ejpam-3951	163	5	1	1	NUM
ejpam-3951	163	6	,	,	PUNCT
ejpam-3951	163	7	...	...	PUNCT
ejpam-3951	163	8	,	,	PUNCT
ejpam-3951	163	9	k	k	X
ejpam-3951	163	10	,	,	PUNCT
ejpam-3951	163	11	we	we	PRON
ejpam-3951	163	12	have	have	VERB
ejpam-3951	163	13	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	163	14	...	...	PUNCT
ejpam-3951	163	15	,tk	,tk	PUNCT
ejpam-3951	164	1	[	[	X
ejpam-3951	164	2	(	(	PUNCT
ejpam-3951	164	3	uj1	uj1	PROPN
ejpam-3951	164	4	,	,	PUNCT
ejpam-3951	164	5	u	u	PROPN
ejpam-3951	164	6	j	j	PROPN
ejpam-3951	164	7	2	2	NUM
ejpam-3951	164	8	,	,	PUNCT
ejpam-3951	164	9	...	...	PUNCT
ejpam-3951	164	10	,	,	PUNCT
ejpam-3951	164	11	u	u	PROPN
ejpam-3951	164	12	j	j	PROPN
ejpam-3951	164	13	d	d	PROPN
ejpam-3951	164	14	)	)	PUNCT
ejpam-3951	164	15	]	]	PUNCT
ejpam-3951	164	16	=	=	PUNCT
ejpam-3951	164	17	ft1,t2,	ft1,t2,	PROPN
ejpam-3951	164	18	...	...	PUNCT
ejpam-3951	164	19	,tk((f−1	,tk((f−1	PUNCT
ejpam-3951	164	20	1,tj	1,tj	NUM
ejpam-3951	164	21	(	(	PUNCT
ejpam-3951	164	22	uj1	uj1	NOUN
ejpam-3951	164	23	)	)	PUNCT
ejpam-3951	164	24	,	,	PUNCT
ejpam-3951	164	25	...	...	PUNCT
ejpam-3951	164	26	,	,	PUNCT
ejpam-3951	164	27	f−1	f−1	PROPN
ejpam-3951	164	28	d	d	PROPN
ejpam-3951	164	29	,	,	PUNCT
ejpam-3951	164	30	tj	tj	X
ejpam-3951	164	31	(	(	PUNCT
ejpam-3951	164	32	ujd	ujd	NOUN
ejpam-3951	164	33	)	)	PUNCT
ejpam-3951	164	34	)	)	PUNCT
ejpam-3951	164	35	)	)	PUNCT
ejpam-3951	164	36	that	that	PRON
ejpam-3951	164	37	leads	lead	VERB
ejpam-3951	164	38	to	to	ADP
ejpam-3951	164	39	,	,	PUNCT
ejpam-3951	164	40	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	164	41	...	...	PUNCT
ejpam-3951	164	42	,tk	,tk	PUNCT
ejpam-3951	164	43	[	[	X
ejpam-3951	164	44	(	(	PUNCT
ejpam-3951	164	45	uj1	uj1	PROPN
ejpam-3951	164	46	,	,	PUNCT
ejpam-3951	164	47	...	...	PUNCT
ejpam-3951	164	48	,	,	PUNCT
ejpam-3951	164	49	u	u	PROPN
ejpam-3951	164	50	j	j	PROPN
ejpam-3951	164	51	d	d	PROPN
ejpam-3951	164	52	)	)	PUNCT
ejpam-3951	164	53	]	]	PUNCT
ejpam-3951	165	1	=	=	X
ejpam-3951	165	2	ft1	ft1	PROPN
ejpam-3951	165	3	(	(	PUNCT
ejpam-3951	165	4	k∧	k∧	PROPN
ejpam-3951	165	5	i=1	i=1	PROPN
ejpam-3951	165	6	f−1	f−1	PROPN
ejpam-3951	165	7	t1	t1	NOUN
ejpam-3951	165	8	(	(	PUNCT
ejpam-3951	165	9	ui1	ui1	PROPN
ejpam-3951	165	10	)	)	PUNCT
ejpam-3951	165	11	,	,	PUNCT
ejpam-3951	165	12	k∧	k∧	VERB
ejpam-3951	165	13	i=1	i=1	PROPN
ejpam-3951	165	14	f−1	f−1	PROPN
ejpam-3951	165	15	t1	t1	NOUN
ejpam-3951	165	16	(	(	PUNCT
ejpam-3951	165	17	ui2	ui2	PROPN
ejpam-3951	165	18	)	)	PUNCT
ejpam-3951	165	19	,	,	PUNCT
ejpam-3951	165	20	...	...	PUNCT
ejpam-3951	165	21	,	,	PUNCT
ejpam-3951	166	1	k∧	k∧	VERB
ejpam-3951	166	2	i=1	i=1	PROPN
ejpam-3951	166	3	f−1	f−1	PROPN
ejpam-3951	166	4	t1	t1	NOUN
ejpam-3951	166	5	(	(	PUNCT
ejpam-3951	166	6	uid	uid	PROPN
ejpam-3951	166	7	)	)	PUNCT
ejpam-3951	166	8	)	)	PUNCT
ejpam-3951	166	9	×	×	NOUN
ejpam-3951	166	10	(	(	PUNCT
ejpam-3951	166	11	22	22	NUM
ejpam-3951	166	12	)	)	PUNCT
ejpam-3951	166	13	d.	d.	PROPN
ejpam-3951	166	14	barro	barro	PROPN
ejpam-3951	166	15	et	et	PROPN
ejpam-3951	166	16	al	al	PROPN
ejpam-3951	166	17	.	.	PUNCT
ejpam-3951	166	18	/	/	SYM
ejpam-3951	166	19	eur	eur	PROPN
ejpam-3951	166	20	.	.	PUNCT
ejpam-3951	167	1	j.	j.	PROPN
ejpam-3951	167	2	pure	pure	PROPN
ejpam-3951	167	3	appl	appl	PROPN
ejpam-3951	167	4	.	.	PROPN
ejpam-3951	167	5	math	math	PROPN
ejpam-3951	167	6	,	,	PUNCT
ejpam-3951	167	7	14	14	NUM
ejpam-3951	167	8	(	(	PUNCT
ejpam-3951	167	9	3	3	NUM
ejpam-3951	167	10	)	)	PUNCT
ejpam-3951	167	11	(	(	PUNCT
ejpam-3951	167	12	2021	2021	NUM
ejpam-3951	167	13	)	)	PUNCT
ejpam-3951	167	14	,	,	PUNCT
ejpam-3951	167	15	1057	1057	NUM
ejpam-3951	167	16	-	-	SYM
ejpam-3951	167	17	1081	1081	NUM
ejpam-3951	167	18	1064	1064	NUM
ejpam-3951	167	19	×ft2−t2	×ft2−t2	NUM
ejpam-3951	167	20	(	(	PUNCT
ejpam-3951	167	21	k∧	k∧	ADJ
ejpam-3951	167	22	i=2	i=2	PROPN
ejpam-3951	167	23	f−1	f−1	PROPN
ejpam-3951	167	24	t2−t1(ui1	t2−t1(ui1	PUNCT
ejpam-3951	167	25	)	)	PUNCT
ejpam-3951	167	26	,	,	PUNCT
ejpam-3951	167	27	k∧	k∧	VERB
ejpam-3951	167	28	i=2	i=2	PROPN
ejpam-3951	167	29	f−1	f−1	PROPN
ejpam-3951	167	30	t2−t1(ui2	t2−t1(ui2	NOUN
ejpam-3951	167	31	)	)	PUNCT
ejpam-3951	167	32	,	,	PUNCT
ejpam-3951	167	33	...	...	PUNCT
ejpam-3951	167	34	,	,	PUNCT
ejpam-3951	167	35	k∧	k∧	VERB
ejpam-3951	167	36	i=2	i=2	PROPN
ejpam-3951	167	37	f−1	f−1	PROPN
ejpam-3951	167	38	t2−t1(uid	t2−t1(uid	NOUN
ejpam-3951	167	39	)	)	PUNCT
ejpam-3951	167	40	)	)	PUNCT
ejpam-3951	167	41	×ftk−tk−1	×ftk−tk−1	PROPN
ejpam-3951	167	42	(	(	PUNCT
ejpam-3951	167	43	f−1	f−1	PROPN
ejpam-3951	167	44	tk−tk−1	tk−tk−1	PROPN
ejpam-3951	167	45	(	(	PUNCT
ejpam-3951	167	46	uk1	uk1	PROPN
ejpam-3951	167	47	)	)	PUNCT
ejpam-3951	167	48	,	,	PUNCT
ejpam-3951	167	49	f−1	f−1	PROPN
ejpam-3951	167	50	tk−tk−1	tk−tk−1	PROPN
ejpam-3951	167	51	(	(	PUNCT
ejpam-3951	167	52	uk2	uk2	PROPN
ejpam-3951	167	53	)	)	PUNCT
ejpam-3951	167	54	,	,	PUNCT
ejpam-3951	167	55	...	...	PUNCT
ejpam-3951	167	56	,	,	PUNCT
ejpam-3951	167	57	f−1	f−1	PROPN
ejpam-3951	167	58	tk−tk−1	tk−tk−1	NOUN
ejpam-3951	167	59	(	(	PUNCT
ejpam-3951	167	60	ukd	ukd	PROPN
ejpam-3951	167	61	)	)	PUNCT
ejpam-3951	167	62	)	)	PUNCT
ejpam-3951	167	63	.	.	PUNCT
ejpam-3951	168	1	but	but	CCONJ
ejpam-3951	168	2	according	accord	VERB
ejpam-3951	168	3	to	to	ADP
ejpam-3951	168	4	proposition	proposition	NOUN
ejpam-3951	168	5	1	1	NUM
ejpam-3951	168	6	,	,	PUNCT
ejpam-3951	168	7	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	168	8	...	...	PUNCT
ejpam-3951	168	9	,tk((uj1	,tk((uj1	PROPN
ejpam-3951	168	10	,	,	PUNCT
ejpam-3951	168	11	...	...	PUNCT
ejpam-3951	168	12	,	,	PUNCT
ejpam-3951	168	13	u	u	PROPN
ejpam-3951	168	14	j	j	PROPN
ejpam-3951	168	15	d	d	PROPN
ejpam-3951	168	16	)	)	PUNCT
ejpam-3951	168	17	for	for	ADP
ejpam-3951	168	18	j	j	PROPN
ejpam-3951	168	19	=	=	SYM
ejpam-3951	168	20	1	1	NUM
ejpam-3951	168	21	,	,	PUNCT
ejpam-3951	168	22	...	...	PUNCT
ejpam-3951	168	23	,	,	PUNCT
ejpam-3951	168	24	k	k	X
ejpam-3951	168	25	)	)	PUNCT
ejpam-3951	168	26	can	can	AUX
ejpam-3951	168	27	be	be	AUX
ejpam-3951	168	28	written	write	VERB
ejpam-3951	168	29	as	as	ADP
ejpam-3951	168	30	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	168	31	...	...	PUNCT
ejpam-3951	168	32	,tk	,tk	PUNCT
ejpam-3951	169	1	[	[	X
ejpam-3951	169	2	(	(	PUNCT
ejpam-3951	169	3	uj1	uj1	PROPN
ejpam-3951	169	4	,	,	PUNCT
ejpam-3951	169	5	...	...	PUNCT
ejpam-3951	169	6	,	,	PUNCT
ejpam-3951	169	7	u	u	PROPN
ejpam-3951	169	8	j	j	PROPN
ejpam-3951	169	9	d	d	PROPN
ejpam-3951	169	10	)	)	PUNCT
ejpam-3951	169	11	]	]	PUNCT
ejpam-3951	170	1	=	=	PUNCT
ejpam-3951	170	2	exp	exp	NOUN
ejpam-3951	170	3	−	−	NOUN
ejpam-3951	170	4			PROPN
ejpam-3951	170	5	d∑	d∑	PROPN
ejpam-3951	170	6	i=1	i=1	PROPN
ejpam-3951	170	7	k∧	k∧	PROPN
ejpam-3951	170	8	j=1	j=1	PROPN
ejpam-3951	170	9	ũji	ũji	PROPN
ejpam-3951	170	10	,	,	PUNCT
ejpam-3951	170	11	t1	t1	NOUN
ejpam-3951	170	12	bt1	bt1	X
ejpam-3951	170	13	(	(	PUNCT
ejpam-3951	170	14	∧k	∧k	NUM
ejpam-3951	170	15	j=1	j=1	PROPN
ejpam-3951	170	16	ũ	ũ	PROPN
ejpam-3951	171	1	j	j	PROPN
ejpam-3951	171	2	1,t1∑d	1,t1∑d	PROPN
ejpam-3951	171	3	i=1	i=1	PRON
ejpam-3951	172	1	∧k	∧k	NUM
ejpam-3951	173	1	j=1	j=1	PROPN
ejpam-3951	173	2	ũ	ũ	PROPN
ejpam-3951	173	3	j	j	PROPN
ejpam-3951	173	4	i	i	PROPN
ejpam-3951	173	5	,	,	PUNCT
ejpam-3951	173	6	t1	t1	PROPN
ejpam-3951	173	7	,	,	PUNCT
ejpam-3951	173	8	...	...	PUNCT
ejpam-3951	173	9	,	,	PUNCT
ejpam-3951	174	1	∧k	∧k	NUM
ejpam-3951	174	2	j=1	j=1	PROPN
ejpam-3951	174	3	ũ	ũ	PROPN
ejpam-3951	174	4	j	j	PROPN
ejpam-3951	174	5	d−1,t1∑d	d−1,t1∑d	PROPN
ejpam-3951	174	6	i=1	i=1	PRON
ejpam-3951	174	7	∧k	∧k	NUM
ejpam-3951	175	1	j=1	j=1	PROPN
ejpam-3951	175	2	ũ	ũ	PROPN
ejpam-3951	175	3	j	j	PROPN
ejpam-3951	175	4	i	i	PROPN
ejpam-3951	175	5	,	,	PUNCT
ejpam-3951	175	6	t1	t1	NOUN
ejpam-3951	175	7	)	)	PUNCT
ejpam-3951	175	8	×	×	PROPN
ejpam-3951	175	9	×	×	NOUN
ejpam-3951	175	10	exp	exp	NOUN
ejpam-3951	175	11	−	−	NOUN
ejpam-3951	175	12			PROPN
ejpam-3951	175	13	d∑	d∑	PROPN
ejpam-3951	175	14	i=1	i=1	PROPN
ejpam-3951	175	15	k∧	k∧	PROPN
ejpam-3951	175	16	j=2	j=2	PROPN
ejpam-3951	175	17	ũji	ũji	PROPN
ejpam-3951	175	18	,	,	PUNCT
ejpam-3951	175	19	t2	t2	NOUN
ejpam-3951	175	20	bt2−t1	bt2−t1	NOUN
ejpam-3951	175	21	(	(	PUNCT
ejpam-3951	175	22	∧k	∧k	NUM
ejpam-3951	175	23	j=2	j=2	PROPN
ejpam-3951	176	1	ũ	ũ	PROPN
ejpam-3951	176	2	j	j	PROPN
ejpam-3951	176	3	1,t2∑d	1,t2∑d	NOUN
ejpam-3951	176	4	i=1	i=1	PROPN
ejpam-3951	176	5	∧k	∧k	PROPN
ejpam-3951	176	6	j=2	j=2	PROPN
ejpam-3951	177	1	ũ	ũ	PROPN
ejpam-3951	177	2	j	j	PROPN
ejpam-3951	178	1	i	i	PROPN
ejpam-3951	178	2	,	,	PUNCT
ejpam-3951	178	3	t2	t2	PROPN
ejpam-3951	178	4	,	,	PUNCT
ejpam-3951	178	5	...	...	PUNCT
ejpam-3951	178	6	,	,	PUNCT
ejpam-3951	178	7	∧k	∧k	NUM
ejpam-3951	178	8	j=2	j=2	PROPN
ejpam-3951	179	1	ũ	ũ	PROPN
ejpam-3951	179	2	j	j	PROPN
ejpam-3951	179	3	d−1,t2∑d	d−1,t2∑d	PROPN
ejpam-3951	179	4	i=1	i=1	PROPN
ejpam-3951	180	1	∧k	∧k	PROPN
ejpam-3951	180	2	j=2	j=2	PROPN
ejpam-3951	181	1	ũ	ũ	PROPN
ejpam-3951	181	2	j	j	PROPN
ejpam-3951	182	1	i	i	PROPN
ejpam-3951	182	2	,	,	PUNCT
ejpam-3951	182	3	t2	t2	NOUN
ejpam-3951	182	4	)	)	PUNCT
ejpam-3951	182	5	×	×	PROPN
ejpam-3951	182	6	×	×	NOUN
ejpam-3951	182	7	...	...	PUNCT
ejpam-3951	182	8	×	×	NOUN
ejpam-3951	182	9	exp	exp	NOUN
ejpam-3951	182	10	{	{	PUNCT
ejpam-3951	182	11	−	−	PROPN
ejpam-3951	183	1	(	(	PUNCT
ejpam-3951	183	2	d∑	d∑	PROPN
ejpam-3951	183	3	i=1	i=1	PROPN
ejpam-3951	183	4	ũki	ũki	PROPN
ejpam-3951	183	5	,	,	PUNCT
ejpam-3951	183	6	tk	tk	PROPN
ejpam-3951	183	7	)	)	PUNCT
ejpam-3951	183	8	btk−tk−1	btk−tk−1	PUNCT
ejpam-3951	183	9	(	(	PUNCT
ejpam-3951	183	10	ũk1,tk∑d	ũk1,tk∑d	X
ejpam-3951	183	11	i=1	i=1	PROPN
ejpam-3951	184	1	ũ	ũ	PROPN
ejpam-3951	184	2	k	k	PROPN
ejpam-3951	184	3	i	i	PROPN
ejpam-3951	184	4	,	,	PUNCT
ejpam-3951	184	5	tk	tk	PROPN
ejpam-3951	184	6	,	,	PUNCT
ejpam-3951	184	7	...	...	PUNCT
ejpam-3951	184	8	,	,	PUNCT
ejpam-3951	185	1	ũkd−1,tk∑d	ũkd−1,tk∑d	PROPN
ejpam-3951	185	2	i=1	i=1	PROPN
ejpam-3951	186	1	ũ	ũ	PROPN
ejpam-3951	186	2	k	k	PROPN
ejpam-3951	186	3	i	i	PROPN
ejpam-3951	186	4	,	,	PUNCT
ejpam-3951	186	5	tk	tk	PROPN
ejpam-3951	186	6	)	)	PUNCT
ejpam-3951	186	7	}	}	PUNCT
ejpam-3951	186	8	.	.	PUNCT
ejpam-3951	187	1	so	so	ADV
ejpam-3951	187	2	,	,	PUNCT
ejpam-3951	187	3	it	it	PRON
ejpam-3951	187	4	comes	come	VERB
ejpam-3951	187	5	that	that	SCONJ
ejpam-3951	187	6	c∗t1,t2,	c∗t1,t2,	PROPN
ejpam-3951	187	7	...	...	PUNCT
ejpam-3951	187	8	,tk	,tk	PUNCT
ejpam-3951	188	1	[	[	X
ejpam-3951	188	2	(	(	PUNCT
ejpam-3951	188	3	uj1	uj1	PROPN
ejpam-3951	188	4	,	,	PUNCT
ejpam-3951	188	5	...	...	PUNCT
ejpam-3951	188	6	,	,	PUNCT
ejpam-3951	188	7	u	u	PROPN
ejpam-3951	188	8	j	j	PROPN
ejpam-3951	188	9	d	d	PROPN
ejpam-3951	188	10	)	)	PUNCT
ejpam-3951	188	11	]	]	PUNCT
ejpam-3951	189	1	=	=	SYM
ejpam-3951	189	2	exp	exp	NOUN
ejpam-3951	189	3	{	{	PUNCT
ejpam-3951	189	4	−	−	PROPN
ejpam-3951	189	5	k∑	k∑	PROPN
ejpam-3951	189	6	m=1	m=1	PROPN
ejpam-3951	189	7	ltm(ũ1,tm	ltm(ũ1,tm	PROPN
ejpam-3951	189	8	,	,	PUNCT
ejpam-3951	189	9	ũ2,tm	ũ2,tm	PROPN
ejpam-3951	189	10	,	,	PUNCT
ejpam-3951	189	11	...	...	PUNCT
ejpam-3951	189	12	,	,	PUNCT
ejpam-3951	189	13	ũd	ũd	INTJ
ejpam-3951	189	14	,	,	PUNCT
ejpam-3951	189	15	tm	tm	NOUN
ejpam-3951	189	16	)	)	PUNCT
ejpam-3951	189	17	}	}	PUNCT
ejpam-3951	189	18	(	(	PUNCT
ejpam-3951	189	19	23	23	NUM
ejpam-3951	189	20	)	)	PUNCT
ejpam-3951	189	21	where	where	SCONJ
ejpam-3951	189	22	the	the	DET
ejpam-3951	189	23	dependence	dependence	NOUN
ejpam-3951	189	24	function	function	NOUN
ejpam-3951	189	25	ltm	ltm	PROPN
ejpam-3951	189	26	is	be	AUX
ejpam-3951	189	27	given	give	VERB
ejpam-3951	189	28	by	by	ADP
ejpam-3951	189	29	ltm(ũ1,tm	ltm(ũ1,tm	PROPN
ejpam-3951	189	30	,	,	PUNCT
ejpam-3951	189	31	...	...	PUNCT
ejpam-3951	189	32	,	,	PUNCT
ejpam-3951	189	33	ũd	ũd	INTJ
ejpam-3951	189	34	,	,	PUNCT
ejpam-3951	189	35	tm	tm	NOUN
ejpam-3951	189	36	)	)	PUNCT
ejpam-3951	189	37	=	=	PUNCT
ejpam-3951	190	1			PROPN
ejpam-3951	190	2	d∑	d∑	PROPN
ejpam-3951	190	3	i=1	i=1	PROPN
ejpam-3951	190	4	k∧	k∧	PROPN
ejpam-3951	190	5	j	j	PROPN
ejpam-3951	190	6	=	=	PROPN
ejpam-3951	190	7	m	m	PROPN
ejpam-3951	190	8	ũji	ũji	PROPN
ejpam-3951	190	9	,	,	PUNCT
ejpam-3951	190	10	tj	tj	NOUN
ejpam-3951	190	11	btm−tm−1	btm−tm−1	PROPN
ejpam-3951	190	12	(	(	PUNCT
ejpam-3951	190	13	∧k	∧k	NUM
ejpam-3951	190	14	j	j	X
ejpam-3951	190	15	=	=	PROPN
ejpam-3951	190	16	m	m	PROPN
ejpam-3951	190	17	ũ	ũ	PROPN
ejpam-3951	190	18	j	j	PROPN
ejpam-3951	190	19	1,tj∑d	1,tj∑d	NUM
ejpam-3951	190	20	i=1	i=1	PROPN
ejpam-3951	190	21	∧k	∧k	NUM
ejpam-3951	190	22	j	j	PROPN
ejpam-3951	190	23	=	=	PROPN
ejpam-3951	190	24	m	m	PROPN
ejpam-3951	190	25	ũ	ũ	PROPN
ejpam-3951	190	26	j	j	PROPN
ejpam-3951	190	27	i	i	PROPN
ejpam-3951	190	28	,	,	PUNCT
ejpam-3951	190	29	tj	tj	PROPN
ejpam-3951	190	30	,	,	PUNCT
ejpam-3951	190	31	...	...	PUNCT
ejpam-3951	190	32	,	,	PUNCT
ejpam-3951	190	33	∧k	∧k	NUM
ejpam-3951	190	34	j	j	X
ejpam-3951	190	35	=	=	PROPN
ejpam-3951	190	36	m	m	PROPN
ejpam-3951	190	37	ũ	ũ	PROPN
ejpam-3951	190	38	j	j	NOUN
ejpam-3951	190	39	d−1,tj∑d	d−1,tj∑d	NOUN
ejpam-3951	190	40	i=1	i=1	PROPN
ejpam-3951	190	41	∧k	∧k	ADJ
ejpam-3951	190	42	j	j	NOUN
ejpam-3951	190	43	=	=	PROPN
ejpam-3951	190	44	m	m	PROPN
ejpam-3951	190	45	ũ	ũ	PROPN
ejpam-3951	190	46	j	j	PROPN
ejpam-3951	190	47	i	i	PROPN
ejpam-3951	190	48	,	,	PUNCT
ejpam-3951	190	49	tj	tj	PROPN
ejpam-3951	190	50	)	)	PUNCT
ejpam-3951	190	51	is	be	AUX
ejpam-3951	190	52	a	a	DET
ejpam-3951	190	53	suitable	suitable	ADJ
ejpam-3951	190	54	convex	convex	NOUN
ejpam-3951	190	55	function	function	NOUN
ejpam-3951	190	56	defined	define	VERB
ejpam-3951	190	57	in	in	ADP
ejpam-3951	190	58	the	the	DET
ejpam-3951	190	59	simplex	simplex	NOUN
ejpam-3951	190	60	of	of	ADP
ejpam-3951	190	61	rd	rd	NOUN
ejpam-3951	190	62	while	while	SCONJ
ejpam-3951	190	63	,	,	PUNCT
ejpam-3951	190	64	for	for	ADP
ejpam-3951	190	65	all	all	DET
ejpam-3951	190	66	i	i	PRON
ejpam-3951	190	67	=	=	NOUN
ejpam-3951	190	68	1	1	NUM
ejpam-3951	190	69	,	,	PUNCT
ejpam-3951	190	70	...	...	PUNCT
ejpam-3951	190	71	,	,	PUNCT
ejpam-3951	191	1	d	d	PROPN
ejpam-3951	191	2	and	and	CCONJ
ejpam-3951	191	3	j	j	PROPN
ejpam-3951	191	4	=	=	SYM
ejpam-3951	191	5	1	1	NUM
ejpam-3951	191	6	,	,	PUNCT
ejpam-3951	191	7	...	...	PUNCT
ejpam-3951	191	8	,	,	PUNCT
ejpam-3951	191	9	k	k	X
ejpam-3951	191	10	,	,	PUNCT
ejpam-3951	191	11	one	one	NUM
ejpam-3951	191	12	have	have	VERB
ejpam-3951	191	13	ũi	ũi	NOUN
ejpam-3951	191	14	,	,	PUNCT
ejpam-3951	191	15	tm	tm	NOUN
ejpam-3951	191	16	=	=	PROPN
ejpam-3951	191	17	∧k	∧k	NUM
ejpam-3951	191	18	j	j	PROPN
ejpam-3951	191	19	=	=	PROPN
ejpam-3951	191	20	m	m	PROPN
ejpam-3951	191	21	ũ	ũ	PROPN
ejpam-3951	191	22	j	j	PROPN
ejpam-3951	191	23	i	i	PROPN
ejpam-3951	191	24	,	,	PUNCT
ejpam-3951	191	25	tj	tj	PROPN
ejpam-3951	191	26	,	,	PUNCT
ejpam-3951	191	27	and	and	CCONJ
ejpam-3951	191	28	ũji	ũji	PROPN
ejpam-3951	191	29	,	,	PUNCT
ejpam-3951	192	1	tj	tj	X
ejpam-3951	192	2	=	=	NOUN
ejpam-3951	192	3	µi	µi	PROPN
ejpam-3951	192	4	−	−	PROPN
ejpam-3951	193	1	σi	σi	INTJ
ejpam-3951	193	2	ξi	ξi	PROPN
ejpam-3951	193	3	1−	1−	PROPN
ejpam-3951	194	1	(	(	PUNCT
ejpam-3951	194	2	−	−	PROPN
ejpam-3951	194	3	lnuji	lnuji	NOUN
ejpam-3951	194	4	tj	tj	NOUN
ejpam-3951	194	5	−	−	PROPN
ejpam-3951	194	6	tj−1	tj−1	NOUN
ejpam-3951	194	7	)	)	PUNCT
ejpam-3951	194	8	−ξi	−ξi	PROPN
ejpam-3951	194	9	4	4	NUM
ejpam-3951	194	10	.	.	PUNCT
ejpam-3951	195	1	the	the	DET
ejpam-3951	195	2	expected	expect	VERB
ejpam-3951	195	3	tail	tail	NOUN
ejpam-3951	195	4	dependence	dependence	NOUN
ejpam-3951	195	5	coefficients	coefficient	NOUN
ejpam-3951	195	6	in	in	ADP
ejpam-3951	195	7	this	this	DET
ejpam-3951	195	8	section	section	NOUN
ejpam-3951	195	9	,	,	PUNCT
ejpam-3951	195	10	we	we	PRON
ejpam-3951	195	11	first	first	ADV
ejpam-3951	195	12	introduce	introduce	VERB
ejpam-3951	195	13	the	the	DET
ejpam-3951	195	14	notion	notion	NOUN
ejpam-3951	195	15	of	of	ADP
ejpam-3951	195	16	expected	expect	VERB
ejpam-3951	195	17	tail	tail	NOUN
ejpam-3951	195	18	dependence	dependence	NOUN
ejpam-3951	195	19	coefficient	coefficient	NOUN
ejpam-3951	195	20	then	then	ADV
ejpam-3951	195	21	we	we	PRON
ejpam-3951	195	22	present	present	VERB
ejpam-3951	195	23	essential	essential	ADJ
ejpam-3951	195	24	properties	property	NOUN
ejpam-3951	195	25	related	relate	VERB
ejpam-3951	195	26	to	to	ADP
ejpam-3951	195	27	the	the	DET
ejpam-3951	195	28	concept	concept	NOUN
ejpam-3951	195	29	.	.	PUNCT
ejpam-3951	196	1	the	the	DET
ejpam-3951	196	2	notion	notion	NOUN
ejpam-3951	196	3	is	be	AUX
ejpam-3951	196	4	a	a	DET
ejpam-3951	196	5	generalization	generalization	NOUN
ejpam-3951	196	6	of	of	ADP
ejpam-3951	196	7	the	the	DET
ejpam-3951	196	8	notion	notion	NOUN
ejpam-3951	196	9	of	of	ADP
ejpam-3951	196	10	multivariate	multivariate	NOUN
ejpam-3951	196	11	tail	tail	NOUN
ejpam-3951	196	12	dependence	dependence	NOUN
ejpam-3951	196	13	coefficients	coefficient	NOUN
ejpam-3951	196	14	(	(	PUNCT
ejpam-3951	196	15	relations	relation	NOUN
ejpam-3951	196	16	(	(	PUNCT
ejpam-3951	196	17	11	11	NUM
ejpam-3951	196	18	)	)	PUNCT
ejpam-3951	196	19	and	and	CCONJ
ejpam-3951	196	20	(	(	PUNCT
ejpam-3951	196	21	12	12	NUM
ejpam-3951	196	22	)	)	PUNCT
ejpam-3951	196	23	)	)	PUNCT
ejpam-3951	196	24	in	in	ADP
ejpam-3951	196	25	the	the	DET
ejpam-3951	196	26	sense	sense	NOUN
ejpam-3951	196	27	that	that	SCONJ
ejpam-3951	196	28	they	they	PRON
ejpam-3951	196	29	give	give	VERB
ejpam-3951	196	30	us	we	PRON
ejpam-3951	196	31	information	information	NOUN
ejpam-3951	196	32	on	on	ADP
ejpam-3951	196	33	dependence	dependence	NOUN
ejpam-3951	196	34	average	average	NOUN
ejpam-3951	196	35	in	in	ADP
ejpam-3951	196	36	the	the	DET
ejpam-3951	196	37	tails	tail	NOUN
ejpam-3951	196	38	of	of	ADP
ejpam-3951	196	39	multivariate	multivariate	NOUN
ejpam-3951	196	40	distribution	distribution	NOUN
ejpam-3951	196	41	.	.	PUNCT
ejpam-3951	197	1	in	in	ADP
ejpam-3951	197	2	the	the	DET
ejpam-3951	197	3	bivariate	bivariate	ADJ
ejpam-3951	197	4	case	case	NOUN
ejpam-3951	197	5	,	,	PUNCT
ejpam-3951	197	6	it	it	PRON
ejpam-3951	197	7	is	be	AUX
ejpam-3951	197	8	close	close	ADJ
ejpam-3951	197	9	to	to	ADP
ejpam-3951	197	10	the	the	DET
ejpam-3951	197	11	proposed	propose	VERB
ejpam-3951	197	12	risk	risk	NOUN
ejpam-3951	197	13	measure	measure	NOUN
ejpam-3951	197	14	by	by	ADP
ejpam-3951	197	15	brahim	brahim	PROPN
ejpam-3951	197	16	et	et	PROPN
ejpam-3951	197	17	al.[6	al.[6	PROPN
ejpam-3951	197	18	]	]	PUNCT
ejpam-3951	197	19	.	.	PUNCT
ejpam-3951	198	1	d.	d.	PROPN
ejpam-3951	198	2	barro	barro	PROPN
ejpam-3951	198	3	et	et	PROPN
ejpam-3951	198	4	al	al	PROPN
ejpam-3951	198	5	.	.	PUNCT
ejpam-3951	198	6	/	/	SYM
ejpam-3951	198	7	eur	eur	PROPN
ejpam-3951	198	8	.	.	PUNCT
ejpam-3951	199	1	j.	j.	PROPN
ejpam-3951	199	2	pure	pure	PROPN
ejpam-3951	199	3	appl	appl	PROPN
ejpam-3951	199	4	.	.	PROPN
ejpam-3951	199	5	math	math	PROPN
ejpam-3951	199	6	,	,	PUNCT
ejpam-3951	199	7	14	14	NUM
ejpam-3951	199	8	(	(	PUNCT
ejpam-3951	199	9	3	3	NUM
ejpam-3951	199	10	)	)	PUNCT
ejpam-3951	199	11	(	(	PUNCT
ejpam-3951	199	12	2021	2021	NUM
ejpam-3951	199	13	)	)	PUNCT
ejpam-3951	199	14	,	,	PUNCT
ejpam-3951	199	15	1057	1057	NUM
ejpam-3951	199	16	-	-	SYM
ejpam-3951	199	17	1081	1081	NUM
ejpam-3951	199	18	1065	1065	NUM
ejpam-3951	199	19	definition	definition	NOUN
ejpam-3951	199	20	3	3	X
ejpam-3951	199	21	.	.	PUNCT
ejpam-3951	200	1	let	let	VERB
ejpam-3951	200	2	x	x	PUNCT
ejpam-3951	200	3	=	=	SYM
ejpam-3951	200	4	(	(	PUNCT
ejpam-3951	200	5	x1	x1	PROPN
ejpam-3951	200	6	,	,	PUNCT
ejpam-3951	200	7	...	...	PUNCT
ejpam-3951	200	8	,	,	PUNCT
ejpam-3951	200	9	xd	xd	ADP
ejpam-3951	200	10	)	)	PUNCT
ejpam-3951	200	11	a	a	DET
ejpam-3951	200	12	random	random	ADJ
ejpam-3951	200	13	vector	vector	NOUN
ejpam-3951	200	14	in	in	ADP
ejpam-3951	200	15	rd	rd	PROPN
ejpam-3951	200	16	,	,	PUNCT
ejpam-3951	200	17	with	with	ADP
ejpam-3951	200	18	joint	joint	ADJ
ejpam-3951	200	19	distribution	distribution	NOUN
ejpam-3951	200	20	f	f	NOUN
ejpam-3951	200	21	,	,	PUNCT
ejpam-3951	200	22	marginal	marginal	ADJ
ejpam-3951	200	23	fi	fi	NOUN
ejpam-3951	200	24	,	,	PUNCT
ejpam-3951	200	25	i	i	NOUN
ejpam-3951	200	26	=	=	NOUN
ejpam-3951	200	27	1	1	NUM
ejpam-3951	200	28	,	,	PUNCT
ejpam-3951	200	29	...	...	PUNCT
ejpam-3951	200	30	,	,	PUNCT
ejpam-3951	200	31	d	d	NOUN
ejpam-3951	200	32	and	and	CCONJ
ejpam-3951	200	33	copula	copula	PROPN
ejpam-3951	200	34	c.	c.	NOUN
ejpam-3951	200	35	we	we	PRON
ejpam-3951	200	36	call	call	VERB
ejpam-3951	200	37	the	the	DET
ejpam-3951	200	38	expected	expect	VERB
ejpam-3951	200	39	or	or	CCONJ
ejpam-3951	200	40	average	average	ADJ
ejpam-3951	200	41	tail	tail	NOUN
ejpam-3951	200	42	function	function	NOUN
ejpam-3951	200	43	of	of	ADP
ejpam-3951	200	44	lower	low	ADJ
ejpam-3951	200	45	tail	tail	NOUN
ejpam-3951	200	46	ζlh	ζlh	ADV
ejpam-3951	200	47	and	and	CCONJ
ejpam-3951	200	48	of	of	ADP
ejpam-3951	200	49	upper	upper	ADJ
ejpam-3951	200	50	tail	tail	NOUN
ejpam-3951	200	51	ζuh	ζuh	NOUN
ejpam-3951	200	52	,	,	PUNCT
ejpam-3951	200	53	the	the	DET
ejpam-3951	200	54	quantities	quantity	NOUN
ejpam-3951	200	55	respectively	respectively	ADV
ejpam-3951	200	56	defined	define	VERB
ejpam-3951	200	57	by	by	ADP
ejpam-3951	200	58	:	:	PUNCT
ejpam-3951	200	59	ζlh	ζlh	ADJ
ejpam-3951	200	60	(	(	PUNCT
ejpam-3951	200	61	u	u	NOUN
ejpam-3951	200	62	)	)	PUNCT
ejpam-3951	200	63	=	=	PUNCT
ejpam-3951	200	64	e{x(h)/xh+1	e{x(h)/xh+1	NOUN
ejpam-3951	200	65	≤	≤	NUM
ejpam-3951	200	66	f−1	f−1	PROPN
ejpam-3951	200	67	h+1(u	h+1(u	NOUN
ejpam-3951	200	68	)	)	PUNCT
ejpam-3951	200	69	,	,	PUNCT
ejpam-3951	200	70	...	...	PUNCT
ejpam-3951	200	71	,	,	PUNCT
ejpam-3951	201	1	xd	xd	INTJ
ejpam-3951	201	2	≤	≤	X
ejpam-3951	201	3	f−1	f−1	PROPN
ejpam-3951	201	4	d	d	NOUN
ejpam-3951	201	5	(	(	PUNCT
ejpam-3951	201	6	u	u	NOUN
ejpam-3951	201	7	)	)	PUNCT
ejpam-3951	201	8	}	}	PUNCT
ejpam-3951	201	9	,	,	PUNCT
ejpam-3951	201	10	respectively	respectively	ADV
ejpam-3951	201	11	ζuh	ζuh	PROPN
ejpam-3951	201	12	(	(	PUNCT
ejpam-3951	201	13	u	u	NOUN
ejpam-3951	201	14	)	)	PUNCT
ejpam-3951	201	15	=	=	SYM
ejpam-3951	201	16	e{x(h)/xh+1	e{x(h)/xh+1	X
ejpam-3951	201	17	>	>	X
ejpam-3951	201	18	f−1	f−1	PROPN
ejpam-3951	201	19	h+1(u	h+1(u	NOUN
ejpam-3951	201	20	)	)	PUNCT
ejpam-3951	201	21	,	,	PUNCT
ejpam-3951	201	22	...	...	PUNCT
ejpam-3951	201	23	,	,	PUNCT
ejpam-3951	201	24	xd	xd	INTJ
ejpam-3951	201	25	>	>	X
ejpam-3951	201	26	f−1	f−1	PROPN
ejpam-3951	201	27	d	d	X
ejpam-3951	201	28	(	(	PUNCT
ejpam-3951	201	29	u	u	NOUN
ejpam-3951	201	30	)	)	PUNCT
ejpam-3951	201	31	}	}	PUNCT
ejpam-3951	201	32	.	.	PUNCT
ejpam-3951	202	1	a	a	DET
ejpam-3951	202	2	vectorial	vectorial	ADJ
ejpam-3951	202	3	approach	approach	NOUN
ejpam-3951	202	4	of	of	ADP
ejpam-3951	202	5	these	these	DET
ejpam-3951	202	6	coefficients	coefficient	NOUN
ejpam-3951	202	7	can	can	AUX
ejpam-3951	202	8	be	be	AUX
ejpam-3951	202	9	written	write	VERB
ejpam-3951	202	10	:	:	PUNCT
ejpam-3951	202	11	ζuh	ζuh	PROPN
ejpam-3951	202	12	(	(	PUNCT
ejpam-3951	202	13	u	u	NOUN
ejpam-3951	202	14	)	)	PUNCT
ejpam-3951	202	15	=	=	NOUN
ejpam-3951	202	16			NOUN
ejpam-3951	202	17	e{x1	e{x1	NUM
ejpam-3951	202	18	/	/	SYM
ejpam-3951	202	19	xh+1	xh+1	PROPN
ejpam-3951	202	20	>	>	X
ejpam-3951	202	21	f−1	f−1	PROPN
ejpam-3951	202	22	h+1(u	h+1(u	NOUN
ejpam-3951	202	23	)	)	PUNCT
ejpam-3951	202	24	,	,	PUNCT
ejpam-3951	202	25	...	...	PUNCT
ejpam-3951	202	26	,	,	PUNCT
ejpam-3951	202	27	xd	xd	INTJ
ejpam-3951	202	28	>	>	X
ejpam-3951	202	29	f−1	f−1	PROPN
ejpam-3951	202	30	d	d	X
ejpam-3951	202	31	(	(	PUNCT
ejpam-3951	202	32	u	u	NOUN
ejpam-3951	202	33	)	)	PUNCT
ejpam-3951	202	34	}	}	PUNCT
ejpam-3951	202	35	e{x2	e{x2	NUM
ejpam-3951	202	36	/	/	SYM
ejpam-3951	202	37	xh+1	xh+1	PROPN
ejpam-3951	202	38	>	>	X
ejpam-3951	202	39	f−1	f−1	PROPN
ejpam-3951	202	40	h+1(u	h+1(u	NOUN
ejpam-3951	202	41	)	)	PUNCT
ejpam-3951	202	42	,	,	PUNCT
ejpam-3951	202	43	...	...	PUNCT
ejpam-3951	202	44	,	,	PUNCT
ejpam-3951	202	45	xd	xd	INTJ
ejpam-3951	202	46	>	>	X
ejpam-3951	202	47	f−1	f−1	PROPN
ejpam-3951	202	48	d	d	X
ejpam-3951	202	49	(	(	PUNCT
ejpam-3951	202	50	u	u	NOUN
ejpam-3951	202	51	)	)	PUNCT
ejpam-3951	202	52	}	}	PUNCT
ejpam-3951	202	53	...	...	PUNCT
ejpam-3951	202	54	...	...	PUNCT
ejpam-3951	203	1	e{xh	e{xh	PROPN
ejpam-3951	203	2	/	/	SYM
ejpam-3951	203	3	xh+1	xh+1	PROPN
ejpam-3951	203	4	>	>	X
ejpam-3951	203	5	f−1	f−1	PROPN
ejpam-3951	203	6	h+1(u	h+1(u	NOUN
ejpam-3951	203	7	)	)	PUNCT
ejpam-3951	203	8	,	,	PUNCT
ejpam-3951	203	9	...	...	PUNCT
ejpam-3951	203	10	,	,	PUNCT
ejpam-3951	203	11	xd	xd	INTJ
ejpam-3951	203	12	>	>	X
ejpam-3951	203	13	f−1	f−1	PROPN
ejpam-3951	203	14	d	d	X
ejpam-3951	203	15	(	(	PUNCT
ejpam-3951	203	16	u	u	NOUN
ejpam-3951	203	17	)	)	PUNCT
ejpam-3951	203	18	}	}	PUNCT
ejpam-3951	203	19			NOUN
ejpam-3951	203	20	;	;	PUNCT
ejpam-3951	203	21	for	for	ADP
ejpam-3951	203	22	the	the	DET
ejpam-3951	203	23	lower	low	ADJ
ejpam-3951	203	24	coefficient	coefficient	NOUN
ejpam-3951	203	25	,	,	PUNCT
ejpam-3951	203	26	and	and	CCONJ
ejpam-3951	203	27	ζlh	ζlh	ADV
ejpam-3951	203	28	(	(	PUNCT
ejpam-3951	203	29	u	u	NOUN
ejpam-3951	203	30	)	)	PUNCT
ejpam-3951	203	31	=	=	NOUN
ejpam-3951	203	32			NOUN
ejpam-3951	203	33	e{x1	e{x1	NUM
ejpam-3951	203	34	/	/	SYM
ejpam-3951	203	35	xh+1	xh+1	PROPN
ejpam-3951	203	36	≤	≤	NOUN
ejpam-3951	203	37	f−1	f−1	PROPN
ejpam-3951	203	38	h+1(u	h+1(u	NOUN
ejpam-3951	203	39	)	)	PUNCT
ejpam-3951	203	40	,	,	PUNCT
ejpam-3951	203	41	...	...	PUNCT
ejpam-3951	203	42	,	,	PUNCT
ejpam-3951	203	43	xd	xd	INTJ
ejpam-3951	203	44	≤	≤	X
ejpam-3951	203	45	f−1	f−1	PROPN
ejpam-3951	203	46	d	d	NOUN
ejpam-3951	203	47	(	(	PUNCT
ejpam-3951	203	48	u	u	NOUN
ejpam-3951	203	49	)	)	PUNCT
ejpam-3951	203	50	}	}	PUNCT
ejpam-3951	203	51	e{x2	e{x2	NUM
ejpam-3951	203	52	/	/	SYM
ejpam-3951	203	53	xh+1	xh+1	PROPN
ejpam-3951	203	54	≤	≤	NOUN
ejpam-3951	203	55	f−1	f−1	PROPN
ejpam-3951	203	56	h+1(u	h+1(u	NOUN
ejpam-3951	203	57	)	)	PUNCT
ejpam-3951	203	58	,	,	PUNCT
ejpam-3951	203	59	...	...	PUNCT
ejpam-3951	203	60	,	,	PUNCT
ejpam-3951	203	61	xd	xd	INTJ
ejpam-3951	203	62	≤	≤	X
ejpam-3951	203	63	f−1	f−1	PROPN
ejpam-3951	203	64	d	d	NOUN
ejpam-3951	203	65	(	(	PUNCT
ejpam-3951	203	66	u	u	NOUN
ejpam-3951	203	67	)	)	PUNCT
ejpam-3951	203	68	}	}	PUNCT
ejpam-3951	203	69	...	...	PUNCT
ejpam-3951	203	70	...	...	PUNCT
ejpam-3951	204	1	e{xh	e{xh	PROPN
ejpam-3951	204	2	/	/	SYM
ejpam-3951	204	3	xh+1	xh+1	PROPN
ejpam-3951	204	4	≤	≤	NOUN
ejpam-3951	204	5	f−1	f−1	PROPN
ejpam-3951	204	6	h+1(u	h+1(u	NOUN
ejpam-3951	204	7	)	)	PUNCT
ejpam-3951	204	8	,	,	PUNCT
ejpam-3951	204	9	...	...	PUNCT
ejpam-3951	204	10	,	,	PUNCT
ejpam-3951	205	1	xd	xd	INTJ
ejpam-3951	205	2	≤	≤	X
ejpam-3951	205	3	f−1	f−1	PROPN
ejpam-3951	205	4	d	d	NOUN
ejpam-3951	205	5	(	(	PUNCT
ejpam-3951	205	6	u	u	NOUN
ejpam-3951	205	7	)	)	PUNCT
ejpam-3951	205	8	}	}	PUNCT
ejpam-3951	205	9			NOUN
ejpam-3951	205	10	.	.	PUNCT
ejpam-3951	206	1	for	for	ADP
ejpam-3951	206	2	the	the	DET
ejpam-3951	206	3	right	right	ADJ
ejpam-3951	206	4	one	one	NUM
ejpam-3951	206	5	.	.	PUNCT
ejpam-3951	207	1	it	it	PRON
ejpam-3951	207	2	’s	’	VERB
ejpam-3951	207	3	abouts	abouts	PROPN
ejpam-3951	207	4	determining	determine	VERB
ejpam-3951	207	5	on	on	ADP
ejpam-3951	207	6	average	average	ADJ
ejpam-3951	207	7	,	,	PUNCT
ejpam-3951	207	8	having	have	VERB
ejpam-3951	207	9	a	a	DET
ejpam-3951	207	10	vector	vector	NOUN
ejpam-3951	207	11	x	x	PUNCT
ejpam-3951	207	12	=	=	SYM
ejpam-3951	207	13	(	(	PUNCT
ejpam-3951	207	14	x1	x1	PROPN
ejpam-3951	207	15	,	,	PUNCT
ejpam-3951	207	16	...	...	PUNCT
ejpam-3951	207	17	,	,	PUNCT
ejpam-3951	207	18	xd	xd	ADP
ejpam-3951	207	19	)	)	PUNCT
ejpam-3951	207	20	,	,	PUNCT
ejpam-3951	207	21	what	what	PRON
ejpam-3951	207	22	is	be	AUX
ejpam-3951	207	23	happening	happen	VERB
ejpam-3951	207	24	in	in	ADP
ejpam-3951	207	25	the	the	DET
ejpam-3951	207	26	distribution	distribution	NOUN
ejpam-3951	207	27	tails	tail	NOUN
ejpam-3951	207	28	of	of	ADP
ejpam-3951	207	29	the	the	DET
ejpam-3951	207	30	h	h	NOUN
ejpam-3951	207	31	≤	≤	NOUN
ejpam-3951	208	1	d	d	ADP
ejpam-3951	208	2	random	random	ADJ
ejpam-3951	208	3	variables	variable	NOUN
ejpam-3951	208	4	x1	x1	PROPN
ejpam-3951	208	5	,	,	PUNCT
ejpam-3951	208	6	...	...	PUNCT
ejpam-3951	208	7	,	,	PUNCT
ejpam-3951	208	8	xh	xh	PROPN
ejpam-3951	208	9	knowing	know	VERB
ejpam-3951	208	10	that	that	SCONJ
ejpam-3951	208	11	the	the	DET
ejpam-3951	208	12	(	(	PUNCT
ejpam-3951	208	13	d−	d−	PROPN
ejpam-3951	208	14	h	h	NOUN
ejpam-3951	208	15	)	)	PUNCT
ejpam-3951	208	16	remaining	remain	VERB
ejpam-3951	208	17	variables	variable	NOUN
ejpam-3951	208	18	each	each	PRON
ejpam-3951	208	19	exceed	exceed	VERB
ejpam-3951	208	20	its	its	PRON
ejpam-3951	208	21	var	var	NOUN
ejpam-3951	208	22	at	at	ADP
ejpam-3951	208	23	a	a	DET
ejpam-3951	208	24	threshold	threshold	NOUN
ejpam-3951	208	25	u	u	NOUN
ejpam-3951	208	26	∈	∈	PROPN
ejpam-3951	209	1	[	[	X
ejpam-3951	209	2	0	0	NUM
ejpam-3951	209	3	,	,	PUNCT
ejpam-3951	209	4	1	1	NUM
ejpam-3951	209	5	]	]	PUNCT
ejpam-3951	209	6	chosen	choose	VERB
ejpam-3951	209	7	.	.	PUNCT
ejpam-3951	210	1	definition	definition	NOUN
ejpam-3951	210	2	4	4	NUM
ejpam-3951	210	3	.	.	PUNCT
ejpam-3951	211	1	we	we	PRON
ejpam-3951	211	2	call	call	VERB
ejpam-3951	211	3	,	,	PUNCT
ejpam-3951	211	4	respectively	respectively	ADV
ejpam-3951	211	5	,	,	PUNCT
ejpam-3951	211	6	expected	expect	VERB
ejpam-3951	211	7	(	(	PUNCT
ejpam-3951	211	8	average	average	ADJ
ejpam-3951	211	9	)	)	PUNCT
ejpam-3951	211	10	tail	tail	NOUN
ejpam-3951	211	11	dependence	dependence	NOUN
ejpam-3951	211	12	of	of	ADP
ejpam-3951	211	13	lower	low	ADJ
ejpam-3951	211	14	tail	tail	NOUN
ejpam-3951	211	15	and	and	CCONJ
ejpam-3951	211	16	upper	upper	ADJ
ejpam-3951	211	17	tail	tail	NOUN
ejpam-3951	211	18	respectively	respectively	ADV
ejpam-3951	211	19	,	,	PUNCT
ejpam-3951	211	20	the	the	DET
ejpam-3951	211	21	limits	limit	NOUN
ejpam-3951	211	22	;	;	PUNCT
ejpam-3951	211	23	ζlh	ζlh	ADJ
ejpam-3951	211	24	=	=	PROPN
ejpam-3951	211	25	lim	lim	PROPN
ejpam-3951	211	26	u→0	u→0	PROPN
ejpam-3951	211	27	+	+	X
ejpam-3951	211	28	ζlh	ζlh	ADJ
ejpam-3951	211	29	(	(	PUNCT
ejpam-3951	211	30	u	u	NOUN
ejpam-3951	211	31	)	)	PUNCT
ejpam-3951	211	32	,	,	PUNCT
ejpam-3951	211	33	and	and	CCONJ
ejpam-3951	211	34	ζuh	ζuh	PROPN
ejpam-3951	211	35	=	=	PROPN
ejpam-3951	211	36	lim	lim	PROPN
ejpam-3951	211	37	u→1−	u→1−	PROPN
ejpam-3951	211	38	ζuh	ζuh	PROPN
ejpam-3951	211	39	(	(	PUNCT
ejpam-3951	211	40	u	u	NOUN
ejpam-3951	211	41	)	)	PUNCT
ejpam-3951	211	42	.	.	PUNCT
ejpam-3951	212	1	(	(	PUNCT
ejpam-3951	212	2	24	24	NUM
ejpam-3951	212	3	)	)	PUNCT
ejpam-3951	212	4	the	the	DET
ejpam-3951	212	5	result	result	NOUN
ejpam-3951	212	6	below	below	ADV
ejpam-3951	212	7	gives	give	VERB
ejpam-3951	212	8	us	we	PRON
ejpam-3951	212	9	the	the	DET
ejpam-3951	212	10	expressions	expression	NOUN
ejpam-3951	212	11	of	of	ADP
ejpam-3951	212	12	the	the	DET
ejpam-3951	212	13	marginal	marginal	NOUN
ejpam-3951	212	14	of	of	ADP
ejpam-3951	212	15	the	the	DET
ejpam-3951	212	16	average	average	ADJ
ejpam-3951	212	17	dependence	dependence	NOUN
ejpam-3951	212	18	coefficients	coefficient	NOUN
ejpam-3951	212	19	of	of	ADP
ejpam-3951	212	20	lower	low	ADJ
ejpam-3951	212	21	and	and	CCONJ
ejpam-3951	212	22	upper	upper	ADJ
ejpam-3951	212	23	tail	tail	NOUN
ejpam-3951	212	24	in	in	ADP
ejpam-3951	212	25	terms	term	NOUN
ejpam-3951	212	26	of	of	ADP
ejpam-3951	212	27	copulas	copula	NOUN
ejpam-3951	212	28	.	.	PUNCT
ejpam-3951	213	1	proposition	proposition	NOUN
ejpam-3951	213	2	3	3	NUM
ejpam-3951	213	3	.	.	PUNCT
ejpam-3951	214	1	let	let	VERB
ejpam-3951	214	2	x	x	PUNCT
ejpam-3951	214	3	=	=	SYM
ejpam-3951	214	4	(	(	PUNCT
ejpam-3951	214	5	x1	x1	PROPN
ejpam-3951	214	6	,	,	PUNCT
ejpam-3951	214	7	...	...	PUNCT
ejpam-3951	214	8	,	,	PUNCT
ejpam-3951	214	9	xd	xd	ADP
ejpam-3951	214	10	)	)	PUNCT
ejpam-3951	214	11	a	a	DET
ejpam-3951	214	12	random	random	ADJ
ejpam-3951	214	13	vector	vector	NOUN
ejpam-3951	214	14	with	with	ADP
ejpam-3951	214	15	copula	copula	NOUN
ejpam-3951	214	16	c	c	PROPN
ejpam-3951	214	17	and	and	CCONJ
ejpam-3951	214	18	suppose	suppose	VERB
ejpam-3951	214	19	that	that	SCONJ
ejpam-3951	214	20	the	the	DET
ejpam-3951	214	21	conditionnals	conditionnal	NOUN
ejpam-3951	214	22	densities	densitie	VERB
ejpam-3951	214	23	fxi	fxi	NOUN
ejpam-3951	214	24	/	/	SYM
ejpam-3951	214	25	x(d−h	x(d−h	PROPN
ejpam-3951	214	26	)	)	PUNCT
ejpam-3951	214	27	and	and	CCONJ
ejpam-3951	214	28	f̆xi	f̆xi	SYM
ejpam-3951	214	29	/	/	SYM
ejpam-3951	214	30	x(d−h	x(d−h	PROPN
ejpam-3951	214	31	)	)	PUNCT
ejpam-3951	214	32	of	of	ADP
ejpam-3951	214	33	{	{	PUNCT
ejpam-3951	214	34	xi	xi	PROPN
ejpam-3951	214	35	/	/	SYM
ejpam-3951	214	36	xh+1	xh+1	PROPN
ejpam-3951	214	37	,	,	PUNCT
ejpam-3951	214	38	...	...	PUNCT
ejpam-3951	214	39	,	,	PUNCT
ejpam-3951	214	40	xd	xd	ADP
ejpam-3951	214	41	}	}	PUNCT
ejpam-3951	214	42	,	,	PUNCT
ejpam-3951	214	43	respectively	respectively	ADV
ejpam-3951	214	44	for	for	ADP
ejpam-3951	214	45	lower	low	ADJ
ejpam-3951	214	46	and	and	CCONJ
ejpam-3951	214	47	upper	upper	ADJ
ejpam-3951	214	48	tail	tail	NOUN
ejpam-3951	214	49	,	,	PUNCT
ejpam-3951	214	50	exist	exist	VERB
ejpam-3951	214	51	.	.	PUNCT
ejpam-3951	215	1	then	then	ADV
ejpam-3951	215	2	,	,	PUNCT
ejpam-3951	215	3	i	i	PRON
ejpam-3951	215	4	)	)	PUNCT
ejpam-3951	215	5	the	the	DET
ejpam-3951	215	6	marginal	marginal	ADJ
ejpam-3951	215	7	expected	expect	VERB
ejpam-3951	215	8	tail	tail	NOUN
ejpam-3951	215	9	dependence	dependence	NOUN
ejpam-3951	215	10	coefficient	coefficient	NOUN
ejpam-3951	215	11	of	of	ADP
ejpam-3951	215	12	lower	low	ADJ
ejpam-3951	215	13	tail	tail	NOUN
ejpam-3951	215	14	of	of	ADP
ejpam-3951	215	15	x	x	PROPN
ejpam-3951	215	16	is	be	AUX
ejpam-3951	215	17	given	give	VERB
ejpam-3951	215	18	by	by	ADP
ejpam-3951	215	19	:	:	PUNCT
ejpam-3951	215	20	ζlh	ζlh	ADJ
ejpam-3951	215	21	,	,	PUNCT
ejpam-3951	215	22	i	i	PRON
ejpam-3951	215	23	=	=	PROPN
ejpam-3951	215	24	lim	lim	PROPN
ejpam-3951	215	25	u→0	u→0	PROPN
ejpam-3951	215	26	+	+	NOUN
ejpam-3951	215	27	∫	∫	PROPN
ejpam-3951	215	28	1	1	NUM
ejpam-3951	215	29	u	u	NOUN
ejpam-3951	215	30	v	v	NOUN
ejpam-3951	215	31	arxi(α).cxi	arxi(α).cxi	NOUN
ejpam-3951	215	32	/	/	SYM
ejpam-3951	215	33	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	215	34	,	,	PUNCT
ejpam-3951	215	35	u	u	NOUN
ejpam-3951	215	36	,	,	PUNCT
ejpam-3951	215	37	...	...	PUNCT
ejpam-3951	215	38	,	,	PUNCT
ejpam-3951	215	39	u)dα	u)dα	PROPN
ejpam-3951	215	40	,	,	PUNCT
ejpam-3951	215	41	(	(	PUNCT
ejpam-3951	215	42	25	25	NUM
ejpam-3951	215	43	)	)	PUNCT
ejpam-3951	215	44	d.	d.	PROPN
ejpam-3951	215	45	barro	barro	PROPN
ejpam-3951	215	46	et	et	PROPN
ejpam-3951	215	47	al	al	PROPN
ejpam-3951	215	48	.	.	PUNCT
ejpam-3951	215	49	/	/	SYM
ejpam-3951	215	50	eur	eur	PROPN
ejpam-3951	215	51	.	.	PUNCT
ejpam-3951	216	1	j.	j.	PROPN
ejpam-3951	216	2	pure	pure	PROPN
ejpam-3951	216	3	appl	appl	PROPN
ejpam-3951	216	4	.	.	PROPN
ejpam-3951	216	5	math	math	PROPN
ejpam-3951	216	6	,	,	PUNCT
ejpam-3951	216	7	14	14	NUM
ejpam-3951	216	8	(	(	PUNCT
ejpam-3951	216	9	3	3	NUM
ejpam-3951	216	10	)	)	PUNCT
ejpam-3951	216	11	(	(	PUNCT
ejpam-3951	216	12	2021	2021	NUM
ejpam-3951	216	13	)	)	PUNCT
ejpam-3951	216	14	,	,	PUNCT
ejpam-3951	216	15	1057	1057	NUM
ejpam-3951	216	16	-	-	SYM
ejpam-3951	216	17	1081	1081	NUM
ejpam-3951	216	18	1066	1066	NUM
ejpam-3951	216	19	where	where	SCONJ
ejpam-3951	216	20	cxi	cxi	VERB
ejpam-3951	216	21	/	/	SYM
ejpam-3951	216	22	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	216	23	,	,	PUNCT
ejpam-3951	216	24	u	u	NOUN
ejpam-3951	216	25	,	,	PUNCT
ejpam-3951	216	26	...	...	PUNCT
ejpam-3951	216	27	,	,	PUNCT
ejpam-3951	216	28	u	u	NOUN
ejpam-3951	216	29	)	)	PUNCT
ejpam-3951	216	30	=	=	SYM
ejpam-3951	216	31	∂h+1,	∂h+1,	PROPN
ejpam-3951	216	32	...	...	PUNCT
ejpam-3951	216	33	,d	,d	PUNCT
ejpam-3951	216	34	∂ic(ui	∂ic(ui	PROPN
ejpam-3951	216	35	,	,	PUNCT
ejpam-3951	216	36	uh+1	uh+1	PROPN
ejpam-3951	216	37	,	,	PUNCT
ejpam-3951	216	38	...	...	PUNCT
ejpam-3951	216	39	,	,	PUNCT
ejpam-3951	216	40	ud	ud	INTJ
ejpam-3951	216	41	)	)	PUNCT
ejpam-3951	216	42	cd−h(uh+1	cd−h(uh+1	ADV
ejpam-3951	216	43	,	,	PUNCT
ejpam-3951	216	44	...	...	PUNCT
ejpam-3951	216	45	,	,	PUNCT
ejpam-3951	216	46	ud	ud	INTJ
ejpam-3951	216	47	)	)	PUNCT
ejpam-3951	216	48	|(ui	|(ui	PRON
ejpam-3951	216	49	,	,	PUNCT
ejpam-3951	216	50	uh+1,	uh+1,	NOUN
ejpam-3951	216	51	...	...	PUNCT
ejpam-3951	216	52	,ud)=(α	,ud)=(α	PUNCT
ejpam-3951	216	53	,	,	PUNCT
ejpam-3951	216	54	u,	u,	NUM
ejpam-3951	216	55	...	...	PUNCT
ejpam-3951	216	56	,u	,u	PUNCT
ejpam-3951	216	57	)	)	PUNCT
ejpam-3951	216	58	and	and	CCONJ
ejpam-3951	216	59	c(ui	c(ui	PROPN
ejpam-3951	216	60	,	,	PUNCT
ejpam-3951	216	61	uh+1	uh+1	VERB
ejpam-3951	216	62	,	,	PUNCT
ejpam-3951	216	63	...	...	PUNCT
ejpam-3951	216	64	,	,	PUNCT
ejpam-3951	216	65	ud	ud	INTJ
ejpam-3951	216	66	)	)	PUNCT
ejpam-3951	216	67	=	=	SYM
ejpam-3951	217	1	c(1	c(1	NOUN
ejpam-3951	217	2	,	,	PUNCT
ejpam-3951	217	3	...	...	PUNCT
ejpam-3951	217	4	,	,	PUNCT
ejpam-3951	217	5	1	1	X
ejpam-3951	217	6	,	,	PUNCT
ejpam-3951	217	7	ui	ui	NOUN
ejpam-3951	217	8	,	,	PUNCT
ejpam-3951	217	9	1	1	NUM
ejpam-3951	217	10	,	,	PUNCT
ejpam-3951	217	11	...	...	PUNCT
ejpam-3951	217	12	1	1	NUM
ejpam-3951	217	13	,	,	PUNCT
ejpam-3951	217	14	uh+1	uh+1	VERB
ejpam-3951	217	15	,	,	PUNCT
ejpam-3951	217	16	...	...	PUNCT
ejpam-3951	217	17	,	,	PUNCT
ejpam-3951	217	18	ud	ud	INTJ
ejpam-3951	217	19	)	)	PUNCT
ejpam-3951	217	20	.	.	PUNCT
ejpam-3951	218	1	ii	ii	X
ejpam-3951	218	2	)	)	PUNCT
ejpam-3951	218	3	the	the	DET
ejpam-3951	218	4	marginal	marginal	ADJ
ejpam-3951	218	5	expected	expect	VERB
ejpam-3951	218	6	tail	tail	NOUN
ejpam-3951	218	7	dependence	dependence	NOUN
ejpam-3951	218	8	coefficient	coefficient	NOUN
ejpam-3951	218	9	of	of	ADP
ejpam-3951	218	10	upper	upper	ADJ
ejpam-3951	218	11	tail	tail	NOUN
ejpam-3951	218	12	of	of	ADP
ejpam-3951	218	13	x	x	PROPN
ejpam-3951	218	14	is	be	AUX
ejpam-3951	218	15	given	give	VERB
ejpam-3951	218	16	by	by	ADP
ejpam-3951	218	17	:	:	PUNCT
ejpam-3951	218	18	ζuh	ζuh	PROPN
ejpam-3951	218	19	,	,	PUNCT
ejpam-3951	218	20	i	i	PRON
ejpam-3951	218	21	=	=	PROPN
ejpam-3951	218	22	lim	lim	PROPN
ejpam-3951	218	23	u→1−	u→1−	PROPN
ejpam-3951	218	24	∫	∫	PROPN
ejpam-3951	219	1	1−u	1−u	NUM
ejpam-3951	219	2	0	0	NUM
ejpam-3951	219	3	v	v	ADP
ejpam-3951	219	4	arxi(1−	arxi(1−	PROPN
ejpam-3951	219	5	α).c̆xi	α).c̆xi	PROPN
ejpam-3951	219	6	/	/	SYM
ejpam-3951	219	7	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	219	8	,	,	PUNCT
ejpam-3951	219	9	u	u	NOUN
ejpam-3951	219	10	,	,	PUNCT
ejpam-3951	219	11	...	...	PUNCT
ejpam-3951	219	12	,	,	PUNCT
ejpam-3951	219	13	u)dα	u)dα	PROPN
ejpam-3951	219	14	,	,	PUNCT
ejpam-3951	219	15	(	(	PUNCT
ejpam-3951	219	16	26	26	NUM
ejpam-3951	219	17	)	)	PUNCT
ejpam-3951	219	18	where	where	SCONJ
ejpam-3951	219	19	c̆xi	c̆xi	VERB
ejpam-3951	219	20	/	/	SYM
ejpam-3951	219	21	x(d−h)(1−α	x(d−h)(1−α	PROPN
ejpam-3951	219	22	,	,	PUNCT
ejpam-3951	219	23	1−u	1−u	NUM
ejpam-3951	219	24	,	,	PUNCT
ejpam-3951	219	25	...	...	PUNCT
ejpam-3951	219	26	,	,	PUNCT
ejpam-3951	219	27	1−u	1−u	NUM
ejpam-3951	219	28	)	)	PUNCT
ejpam-3951	219	29	=	=	SYM
ejpam-3951	219	30	∂h+1,	∂h+1,	PROPN
ejpam-3951	219	31	...	...	PUNCT
ejpam-3951	219	32	,d	,d	PUNCT
ejpam-3951	219	33	∂ic̄(1−	∂ic̄(1−	PUNCT
ejpam-3951	219	34	ui	ui	PROPN
ejpam-3951	219	35	,	,	PUNCT
ejpam-3951	219	36	1−	1−	NUM
ejpam-3951	219	37	uh+1	uh+1	PROPN
ejpam-3951	219	38	,	,	PUNCT
ejpam-3951	219	39	...	...	PUNCT
ejpam-3951	219	40	,	,	PUNCT
ejpam-3951	219	41	1−	1−	NUM
ejpam-3951	219	42	ud	ud	NOUN
ejpam-3951	219	43	)	)	PUNCT
ejpam-3951	219	44	)	)	PUNCT
ejpam-3951	219	45	c̄d−h(1−	c̄d−h(1−	VERB
ejpam-3951	219	46	uh+1	uh+1	PROPN
ejpam-3951	219	47	,	,	PUNCT
ejpam-3951	219	48	...	...	PUNCT
ejpam-3951	219	49	,	,	PUNCT
ejpam-3951	219	50	1−	1−	NUM
ejpam-3951	219	51	ud	ud	NOUN
ejpam-3951	219	52	)	)	PUNCT
ejpam-3951	219	53	|(ui	|(ui	NOUN
ejpam-3951	219	54	,	,	PUNCT
ejpam-3951	219	55	uh+1,	uh+1,	NOUN
ejpam-3951	219	56	...	...	PUNCT
ejpam-3951	219	57	,ud)=(α	,ud)=(α	PUNCT
ejpam-3951	219	58	,	,	PUNCT
ejpam-3951	219	59	u,	u,	NUM
ejpam-3951	219	60	...	...	PUNCT
ejpam-3951	219	61	,u	,u	PUNCT
ejpam-3951	219	62	)	)	PUNCT
ejpam-3951	219	63	and	and	CCONJ
ejpam-3951	219	64	c̄(1−	c̄(1−	PROPN
ejpam-3951	219	65	ui	ui	NOUN
ejpam-3951	219	66	,	,	PUNCT
ejpam-3951	219	67	1−	1−	NUM
ejpam-3951	219	68	uh+1	uh+1	PROPN
ejpam-3951	219	69	,	,	PUNCT
ejpam-3951	219	70	...	...	PUNCT
ejpam-3951	219	71	,	,	PUNCT
ejpam-3951	219	72	1−	1−	NUM
ejpam-3951	219	73	ud	ud	NOUN
ejpam-3951	219	74	)	)	PUNCT
ejpam-3951	219	75	=	=	SYM
ejpam-3951	219	76	c̄(1	c̄(1	NOUN
ejpam-3951	219	77	,	,	PUNCT
ejpam-3951	219	78	...	...	PUNCT
ejpam-3951	219	79	,	,	PUNCT
ejpam-3951	219	80	1	1	X
ejpam-3951	219	81	,	,	PUNCT
ejpam-3951	219	82	1−	1−	NUM
ejpam-3951	219	83	ui	ui	NOUN
ejpam-3951	219	84	,	,	PUNCT
ejpam-3951	219	85	1	1	NUM
ejpam-3951	219	86	,	,	PUNCT
ejpam-3951	219	87	...	...	PUNCT
ejpam-3951	219	88	1	1	NUM
ejpam-3951	219	89	,	,	PUNCT
ejpam-3951	219	90	1−	1−	NUM
ejpam-3951	219	91	uh+1	uh+1	NUM
ejpam-3951	219	92	,	,	PUNCT
ejpam-3951	219	93	...	...	PUNCT
ejpam-3951	219	94	,	,	PUNCT
ejpam-3951	219	95	1−	1−	NUM
ejpam-3951	219	96	ud	ud	NOUN
ejpam-3951	219	97	)	)	PUNCT
ejpam-3951	219	98	.	.	PUNCT
ejpam-3951	220	1	proof	proof	NOUN
ejpam-3951	220	2	.	.	PUNCT
ejpam-3951	221	1	i	i	PRON
ejpam-3951	221	2	)	)	PUNCT
ejpam-3951	221	3	each	each	DET
ejpam-3951	221	4	marginal	marginal	ADJ
ejpam-3951	221	5	coefficient	coefficient	NOUN
ejpam-3951	221	6	for	for	ADP
ejpam-3951	221	7	lower	low	ADJ
ejpam-3951	221	8	tail	tail	NOUN
ejpam-3951	221	9	ζlh	ζlh	ADV
ejpam-3951	221	10	,	,	PUNCT
ejpam-3951	221	11	i	i	PRON
ejpam-3951	221	12	,	,	PUNCT
ejpam-3951	221	13	i	i	NOUN
ejpam-3951	221	14	=	=	NOUN
ejpam-3951	221	15	1	1	NUM
ejpam-3951	221	16	,	,	PUNCT
ejpam-3951	221	17	..	..	PUNCT
ejpam-3951	221	18	,	,	PUNCT
ejpam-3951	221	19	h	h	PROPN
ejpam-3951	221	20	is	be	AUX
ejpam-3951	221	21	defined	define	VERB
ejpam-3951	221	22	by	by	ADP
ejpam-3951	221	23	,	,	PUNCT
ejpam-3951	221	24	ζlh	ζlh	ADV
ejpam-3951	221	25	,	,	PUNCT
ejpam-3951	221	26	i	i	PROPN
ejpam-3951	221	27	=	=	PROPN
ejpam-3951	221	28	lim	lim	PROPN
ejpam-3951	221	29	u→0	u→0	PROPN
ejpam-3951	222	1	+	+	PROPN
ejpam-3951	222	2	e{xi	e{xi	PROPN
ejpam-3951	222	3	/	/	SYM
ejpam-3951	222	4	xh+1	xh+1	PROPN
ejpam-3951	222	5	≤	≤	NOUN
ejpam-3951	222	6	f−1	f−1	PROPN
ejpam-3951	222	7	h+1(u	h+1(u	NOUN
ejpam-3951	222	8	)	)	PUNCT
ejpam-3951	222	9	,	,	PUNCT
ejpam-3951	222	10	...	...	PUNCT
ejpam-3951	222	11	,	,	PUNCT
ejpam-3951	222	12	xd	xd	INTJ
ejpam-3951	222	13	≤	≤	X
ejpam-3951	222	14	f−1	f−1	PROPN
ejpam-3951	222	15	d	d	NOUN
ejpam-3951	222	16	(	(	PUNCT
ejpam-3951	222	17	u	u	NOUN
ejpam-3951	222	18	)	)	PUNCT
ejpam-3951	222	19	}	}	PUNCT
ejpam-3951	222	20	which	which	PRON
ejpam-3951	222	21	gives	give	VERB
ejpam-3951	222	22	ζlh	ζlh	ADV
ejpam-3951	222	23	,	,	PUNCT
ejpam-3951	222	24	i	i	PRON
ejpam-3951	222	25	=	=	PROPN
ejpam-3951	222	26	lim	lim	PROPN
ejpam-3951	222	27	u→0	u→0	PROPN
ejpam-3951	222	28	+	+	PROPN
ejpam-3951	222	29	∫	∫	PROPN
ejpam-3951	223	1	+	+	NUM
ejpam-3951	223	2	∞	∞	PROPN
ejpam-3951	223	3	φxi	φxi	NOUN
ejpam-3951	223	4	(	(	PUNCT
ejpam-3951	223	5	u	u	NOUN
ejpam-3951	223	6	)	)	PUNCT
ejpam-3951	223	7	xfxi	xfxi	PROPN
ejpam-3951	223	8	/	/	SYM
ejpam-3951	223	9	x(d−h)dx	x(d−h)dx	PROPN
ejpam-3951	223	10	;	;	PUNCT
ejpam-3951	223	11	(	(	PUNCT
ejpam-3951	223	12	27	27	NUM
ejpam-3951	223	13	)	)	PUNCT
ejpam-3951	223	14	where	where	SCONJ
ejpam-3951	223	15	φxi(u	φxi(u	NOUN
ejpam-3951	223	16	)	)	PUNCT
ejpam-3951	223	17	designates	designate	VERB
ejpam-3951	223	18	the	the	DET
ejpam-3951	223	19	u	u	NOUN
ejpam-3951	223	20	level	level	NOUN
ejpam-3951	223	21	quantile	quantile	NOUN
ejpam-3951	223	22	associeted	associete	VERB
ejpam-3951	223	23	to	to	ADP
ejpam-3951	223	24	the	the	DET
ejpam-3951	223	25	variable	variable	NOUN
ejpam-3951	223	26	xi	xi	X
ejpam-3951	223	27	and	and	CCONJ
ejpam-3951	223	28	fxi	fxi	PROPN
ejpam-3951	223	29	/	/	SYM
ejpam-3951	223	30	x(d−h	x(d−h	PROPN
ejpam-3951	223	31	)	)	PUNCT
ejpam-3951	223	32	is	be	AUX
ejpam-3951	223	33	the	the	DET
ejpam-3951	223	34	conditional	conditional	ADJ
ejpam-3951	223	35	density	density	NOUN
ejpam-3951	223	36	associeted	associete	VERB
ejpam-3951	223	37	to	to	ADP
ejpam-3951	223	38	{	{	PUNCT
ejpam-3951	223	39	xi	xi	PROPN
ejpam-3951	223	40	/	/	SYM
ejpam-3951	223	41	xh+1	xh+1	PROPN
ejpam-3951	223	42	,	,	PUNCT
ejpam-3951	223	43	...	...	PUNCT
ejpam-3951	223	44	,	,	PUNCT
ejpam-3951	223	45	xd	xd	ADP
ejpam-3951	223	46	}	}	PUNCT
ejpam-3951	223	47	,	,	PUNCT
ejpam-3951	223	48	that	that	SCONJ
ejpam-3951	223	49	we	we	PRON
ejpam-3951	223	50	suppose	suppose	VERB
ejpam-3951	223	51	the	the	DET
ejpam-3951	223	52	existence	existence	NOUN
ejpam-3951	223	53	.	.	PUNCT
ejpam-3951	224	1	the	the	DET
ejpam-3951	224	2	associeted	associete	VERB
ejpam-3951	224	3	distribution	distribution	NOUN
ejpam-3951	224	4	function	function	NOUN
ejpam-3951	224	5	fxi	fxi	PROPN
ejpam-3951	224	6	/	/	SYM
ejpam-3951	224	7	x(d−h	x(d−h	PROPN
ejpam-3951	224	8	)	)	PUNCT
ejpam-3951	224	9	of	of	ADP
ejpam-3951	224	10	fxi	fxi	PROPN
ejpam-3951	224	11	/	/	SYM
ejpam-3951	224	12	x(d−h	x(d−h	PROPN
ejpam-3951	224	13	)	)	PUNCT
ejpam-3951	224	14	is	be	AUX
ejpam-3951	224	15	equal	equal	ADJ
ejpam-3951	224	16	to	to	ADP
ejpam-3951	224	17	,	,	PUNCT
ejpam-3951	224	18	fxi	fxi	PROPN
ejpam-3951	224	19	/	/	SYM
ejpam-3951	224	20	x(d−h)(xi	x(d−h)(xi	PROPN
ejpam-3951	224	21	,	,	PUNCT
ejpam-3951	224	22	xh+1	xh+1	PROPN
ejpam-3951	224	23	,	,	PUNCT
ejpam-3951	224	24	...	...	PUNCT
ejpam-3951	224	25	,	,	PUNCT
ejpam-3951	224	26	xd	xd	ADP
ejpam-3951	224	27	)	)	PUNCT
ejpam-3951	224	28	=	=	SYM
ejpam-3951	225	1	p	p	X
ejpam-3951	226	1	[	[	X
ejpam-3951	226	2	xi	xi	X
ejpam-3951	226	3	≤	≤	NUM
ejpam-3951	226	4	xi	xi	PROPN
ejpam-3951	226	5	/	/	SYM
ejpam-3951	226	6	xh+1	xh+1	PROPN
ejpam-3951	226	7	≤	≤	NUM
ejpam-3951	226	8	xh+1	xh+1	PROPN
ejpam-3951	226	9	,	,	PUNCT
ejpam-3951	226	10	...	...	PUNCT
ejpam-3951	226	11	,	,	PUNCT
ejpam-3951	226	12	xd	xd	INTJ
ejpam-3951	226	13	≤	≤	ADJ
ejpam-3951	226	14	xd	xd	ADP
ejpam-3951	226	15	]	]	X
ejpam-3951	226	16	furthermore	furthermore	ADV
ejpam-3951	226	17	,	,	PUNCT
ejpam-3951	226	18	we	we	PRON
ejpam-3951	226	19	have	have	VERB
ejpam-3951	226	20	fxi	fxi	NOUN
ejpam-3951	226	21	/	/	SYM
ejpam-3951	226	22	x(d−h)(xi	x(d−h)(xi	PROPN
ejpam-3951	226	23	,	,	PUNCT
ejpam-3951	226	24	xh+1	xh+1	PROPN
ejpam-3951	226	25	,	,	PUNCT
ejpam-3951	226	26	...	...	PUNCT
ejpam-3951	226	27	,	,	PUNCT
ejpam-3951	226	28	xd	xd	ADP
ejpam-3951	226	29	)	)	PUNCT
ejpam-3951	226	30	=	=	SYM
ejpam-3951	227	1	p	p	X
ejpam-3951	228	1	[	[	X
ejpam-3951	228	2	xi	xi	X
ejpam-3951	228	3	≤	≤	NUM
ejpam-3951	228	4	xi	xi	PROPN
ejpam-3951	228	5	,	,	PUNCT
ejpam-3951	228	6	xh+1	xh+1	PROPN
ejpam-3951	228	7	≤	≤	NUM
ejpam-3951	228	8	xh+1	xh+1	PROPN
ejpam-3951	228	9	,	,	PUNCT
ejpam-3951	228	10	...	...	PUNCT
ejpam-3951	228	11	,	,	PUNCT
ejpam-3951	228	12	xd	xd	INTJ
ejpam-3951	228	13	≤	≤	ADV
ejpam-3951	229	1	xd	xd	ADP
ejpam-3951	229	2	]	]	X
ejpam-3951	229	3	p	p	X
ejpam-3951	229	4	[	[	X
ejpam-3951	229	5	xh+1	xh+1	PROPN
ejpam-3951	229	6	≤	≤	NUM
ejpam-3951	229	7	xh+1	xh+1	PROPN
ejpam-3951	229	8	,	,	PUNCT
ejpam-3951	229	9	...	...	PUNCT
ejpam-3951	229	10	,	,	PUNCT
ejpam-3951	229	11	xd	xd	INTJ
ejpam-3951	229	12	≤	≤	ADV
ejpam-3951	229	13	xd	xd	ADP
ejpam-3951	229	14	]	]	PUNCT
ejpam-3951	229	15	and	and	CCONJ
ejpam-3951	229	16	by	by	ADP
ejpam-3951	229	17	using	use	VERB
ejpam-3951	229	18	sklar	sklar	PROPN
ejpam-3951	229	19	’s	’s	PART
ejpam-3951	229	20	theorem	theorem	NOUN
ejpam-3951	229	21	,	,	PUNCT
ejpam-3951	229	22	it	it	PRON
ejpam-3951	229	23	follows	follow	VERB
ejpam-3951	229	24	that	that	DET
ejpam-3951	229	25	fxi	fxi	PROPN
ejpam-3951	229	26	/	/	SYM
ejpam-3951	229	27	x(d−h)(xi	x(d−h)(xi	PROPN
ejpam-3951	229	28	,	,	PUNCT
ejpam-3951	229	29	xh+1	xh+1	PROPN
ejpam-3951	229	30	,	,	PUNCT
ejpam-3951	229	31	...	...	PUNCT
ejpam-3951	229	32	,	,	PUNCT
ejpam-3951	229	33	xd	xd	ADP
ejpam-3951	229	34	)	)	PUNCT
ejpam-3951	229	35	=	=	SYM
ejpam-3951	230	1	c(fi(xi	c(fi(xi	NUM
ejpam-3951	230	2	)	)	PUNCT
ejpam-3951	230	3	,	,	PUNCT
ejpam-3951	230	4	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	230	5	)	)	PUNCT
ejpam-3951	230	6	,	,	PUNCT
ejpam-3951	230	7	...	...	PUNCT
ejpam-3951	230	8	,	,	PUNCT
ejpam-3951	230	9	fd(xd	fd(xd	NOUN
ejpam-3951	230	10	)	)	PUNCT
ejpam-3951	230	11	)	)	PUNCT
ejpam-3951	230	12	cd−h(fh+1(xh+1	cd−h(fh+1(xh+1	PROPN
ejpam-3951	230	13	)	)	PUNCT
ejpam-3951	230	14	,	,	PUNCT
ejpam-3951	230	15	...	...	PUNCT
ejpam-3951	230	16	,	,	PUNCT
ejpam-3951	230	17	fd(xd	fd(xd	NOUN
ejpam-3951	230	18	)	)	PUNCT
ejpam-3951	230	19	)	)	PUNCT
ejpam-3951	230	20	(	(	PUNCT
ejpam-3951	230	21	28	28	NUM
ejpam-3951	230	22	)	)	PUNCT
ejpam-3951	230	23	where	where	SCONJ
ejpam-3951	230	24	c(fi(xi	c(fi(xi	NOUN
ejpam-3951	230	25	)	)	PUNCT
ejpam-3951	230	26	,	,	PUNCT
ejpam-3951	230	27	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	230	28	)	)	PUNCT
ejpam-3951	230	29	,	,	PUNCT
ejpam-3951	230	30	...	...	PUNCT
ejpam-3951	230	31	,	,	PUNCT
ejpam-3951	230	32	fd(xd	fd(xd	NOUN
ejpam-3951	230	33	)	)	PUNCT
ejpam-3951	230	34	)	)	PUNCT
ejpam-3951	231	1	=	=	PUNCT
ejpam-3951	231	2	c(1	c(1	NOUN
ejpam-3951	231	3	,	,	PUNCT
ejpam-3951	231	4	1	1	NUM
ejpam-3951	231	5	,	,	PUNCT
ejpam-3951	231	6	...	...	PUNCT
ejpam-3951	231	7	1	1	NUM
ejpam-3951	231	8	,	,	PUNCT
ejpam-3951	231	9	fi(xi	fi(xi	PROPN
ejpam-3951	231	10	)	)	PUNCT
ejpam-3951	231	11	,	,	PUNCT
ejpam-3951	231	12	1	1	NUM
ejpam-3951	231	13	,	,	PUNCT
ejpam-3951	231	14	..	..	PUNCT
ejpam-3951	231	15	1	1	NUM
ejpam-3951	231	16	,	,	PUNCT
ejpam-3951	231	17	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	231	18	)	)	PUNCT
ejpam-3951	231	19	,	,	PUNCT
ejpam-3951	231	20	...	...	PUNCT
ejpam-3951	231	21	,	,	PUNCT
ejpam-3951	231	22	fd(xd	fd(xd	NOUN
ejpam-3951	231	23	)	)	PUNCT
ejpam-3951	231	24	)	)	PUNCT
ejpam-3951	231	25	.	.	PUNCT
ejpam-3951	232	1	d.	d.	PROPN
ejpam-3951	232	2	barro	barro	PROPN
ejpam-3951	232	3	et	et	PROPN
ejpam-3951	232	4	al	al	PROPN
ejpam-3951	232	5	.	.	PUNCT
ejpam-3951	232	6	/	/	SYM
ejpam-3951	232	7	eur	eur	PROPN
ejpam-3951	232	8	.	.	PUNCT
ejpam-3951	233	1	j.	j.	PROPN
ejpam-3951	233	2	pure	pure	PROPN
ejpam-3951	233	3	appl	appl	PROPN
ejpam-3951	233	4	.	.	PROPN
ejpam-3951	233	5	math	math	PROPN
ejpam-3951	233	6	,	,	PUNCT
ejpam-3951	233	7	14	14	NUM
ejpam-3951	233	8	(	(	PUNCT
ejpam-3951	233	9	3	3	NUM
ejpam-3951	233	10	)	)	PUNCT
ejpam-3951	233	11	(	(	PUNCT
ejpam-3951	233	12	2021	2021	NUM
ejpam-3951	233	13	)	)	PUNCT
ejpam-3951	233	14	,	,	PUNCT
ejpam-3951	233	15	1057	1057	NUM
ejpam-3951	233	16	-	-	SYM
ejpam-3951	233	17	1081	1081	NUM
ejpam-3951	233	18	1067	1067	NUM
ejpam-3951	233	19	then	then	ADV
ejpam-3951	233	20	the	the	DET
ejpam-3951	233	21	corresponding	correspond	VERB
ejpam-3951	233	22	density	density	NOUN
ejpam-3951	233	23	fxi	fxi	PROPN
ejpam-3951	233	24	/	/	SYM
ejpam-3951	233	25	x(d−h	x(d−h	PROPN
ejpam-3951	233	26	)	)	PUNCT
ejpam-3951	233	27	is	be	AUX
ejpam-3951	233	28	given	give	VERB
ejpam-3951	233	29	by	by	ADP
ejpam-3951	233	30	,	,	PUNCT
ejpam-3951	233	31	fxi	fxi	PROPN
ejpam-3951	233	32	/	/	SYM
ejpam-3951	233	33	x(d−h)(xi	x(d−h)(xi	PROPN
ejpam-3951	233	34	,	,	PUNCT
ejpam-3951	233	35	xh+1	xh+1	PROPN
ejpam-3951	233	36	,	,	PUNCT
ejpam-3951	233	37	...	...	PUNCT
ejpam-3951	233	38	,	,	PUNCT
ejpam-3951	233	39	xd	xd	ADP
ejpam-3951	233	40	)	)	PUNCT
ejpam-3951	233	41	=	=	SYM
ejpam-3951	233	42	∂i	∂i	PROPN
ejpam-3951	233	43	,	,	PUNCT
ejpam-3951	233	44	h+1,	h+1,	NOUN
ejpam-3951	233	45	...	...	PUNCT
ejpam-3951	233	46	,d	,d	PUNCT
ejpam-3951	233	47	c(fi(xi	c(fi(xi	NUM
ejpam-3951	233	48	)	)	PUNCT
ejpam-3951	233	49	,	,	PUNCT
ejpam-3951	233	50	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	233	51	)	)	PUNCT
ejpam-3951	233	52	,	,	PUNCT
ejpam-3951	233	53	...	...	PUNCT
ejpam-3951	233	54	,	,	PUNCT
ejpam-3951	233	55	fd(xd	fd(xd	NOUN
ejpam-3951	233	56	)	)	PUNCT
ejpam-3951	233	57	)	)	PUNCT
ejpam-3951	233	58	cd−h(fh+1(xh+1	cd−h(fh+1(xh+1	PROPN
ejpam-3951	233	59	)	)	PUNCT
ejpam-3951	233	60	,	,	PUNCT
ejpam-3951	233	61	...	...	PUNCT
ejpam-3951	233	62	,	,	PUNCT
ejpam-3951	233	63	fd(xd	fd(xd	NOUN
ejpam-3951	233	64	)	)	PUNCT
ejpam-3951	233	65	)	)	PUNCT
ejpam-3951	233	66	.	.	PUNCT
ejpam-3951	234	1	which	which	PRON
ejpam-3951	234	2	gives	give	VERB
ejpam-3951	234	3	fxi	fxi	NOUN
ejpam-3951	234	4	/	/	SYM
ejpam-3951	234	5	x(d−h)(xi	x(d−h)(xi	PROPN
ejpam-3951	234	6	,	,	PUNCT
ejpam-3951	234	7	xh+1	xh+1	PROPN
ejpam-3951	234	8	,	,	PUNCT
ejpam-3951	234	9	...	...	PUNCT
ejpam-3951	234	10	,	,	PUNCT
ejpam-3951	234	11	xd	xd	ADP
ejpam-3951	234	12	)	)	PUNCT
ejpam-3951	235	1	=	=	SYM
ejpam-3951	235	2	fi(xi)∂h+1,	fi(xi)∂h+1,	PROPN
ejpam-3951	235	3	...	...	PUNCT
ejpam-3951	235	4	,d	,d	PUNCT
ejpam-3951	235	5	(	(	PUNCT
ejpam-3951	235	6	∂ic(fi(xi	∂ic(fi(xi	PROPN
ejpam-3951	235	7	)	)	PUNCT
ejpam-3951	235	8	,	,	PUNCT
ejpam-3951	235	9	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	235	10	)	)	PUNCT
ejpam-3951	235	11	,	,	PUNCT
ejpam-3951	235	12	...	...	PUNCT
ejpam-3951	235	13	,	,	PUNCT
ejpam-3951	235	14	fd(xd	fd(xd	NOUN
ejpam-3951	235	15	)	)	PUNCT
ejpam-3951	235	16	)	)	PUNCT
ejpam-3951	235	17	cd−h(fh+1(xh+1	cd−h(fh+1(xh+1	PROPN
ejpam-3951	235	18	)	)	PUNCT
ejpam-3951	235	19	,	,	PUNCT
ejpam-3951	235	20	...	...	PUNCT
ejpam-3951	235	21	,	,	PUNCT
ejpam-3951	235	22	fd(xd	fd(xd	NOUN
ejpam-3951	235	23	)	)	PUNCT
ejpam-3951	235	24	)	)	PUNCT
ejpam-3951	235	25	)	)	PUNCT
ejpam-3951	236	1	(	(	PUNCT
ejpam-3951	236	2	29	29	NUM
ejpam-3951	236	3	)	)	PUNCT
ejpam-3951	236	4	for	for	ADP
ejpam-3951	236	5	all	all	DET
ejpam-3951	236	6	(	(	PUNCT
ejpam-3951	236	7	ui	ui	PROPN
ejpam-3951	236	8	,	,	PUNCT
ejpam-3951	236	9	uh+1	uh+1	PROPN
ejpam-3951	236	10	,	,	PUNCT
ejpam-3951	236	11	...	...	PUNCT
ejpam-3951	236	12	,	,	PUNCT
ejpam-3951	236	13	ud	ud	INTJ
ejpam-3951	236	14	)	)	PUNCT
ejpam-3951	236	15	∈	∈	PROPN
ejpam-3951	237	1	[	[	X
ejpam-3951	237	2	0	0	NUM
ejpam-3951	237	3	,	,	PUNCT
ejpam-3951	237	4	1]×	1]×	NUM
ejpam-3951	237	5	[	[	X
ejpam-3951	237	6	0	0	NUM
ejpam-3951	237	7	,	,	PUNCT
ejpam-3951	237	8	1]d−h	1]d−h	NUM
ejpam-3951	237	9	,	,	PUNCT
ejpam-3951	237	10	cxi	cxi	PROPN
ejpam-3951	237	11	/	/	SYM
ejpam-3951	237	12	x(d−h)(ui	x(d−h)(ui	PROPN
ejpam-3951	237	13	,	,	PUNCT
ejpam-3951	237	14	uh+1	uh+1	PROPN
ejpam-3951	237	15	,	,	PUNCT
ejpam-3951	237	16	...	...	PUNCT
ejpam-3951	237	17	,	,	PUNCT
ejpam-3951	237	18	ud	ud	INTJ
ejpam-3951	237	19	)	)	PUNCT
ejpam-3951	237	20	=	=	SYM
ejpam-3951	237	21	∂h+1,	∂h+1,	PROPN
ejpam-3951	237	22	...	...	PUNCT
ejpam-3951	237	23	,d	,d	PUNCT
ejpam-3951	237	24	∂ic(ui	∂ic(ui	PROPN
ejpam-3951	237	25	,	,	PUNCT
ejpam-3951	237	26	uh+1	uh+1	PROPN
ejpam-3951	237	27	,	,	PUNCT
ejpam-3951	237	28	...	...	PUNCT
ejpam-3951	237	29	,	,	PUNCT
ejpam-3951	237	30	ud	ud	INTJ
ejpam-3951	237	31	)	)	PUNCT
ejpam-3951	237	32	cd−h(uh+1	cd−h(uh+1	ADV
ejpam-3951	237	33	,	,	PUNCT
ejpam-3951	237	34	...	...	PUNCT
ejpam-3951	237	35	,	,	PUNCT
ejpam-3951	237	36	ud	ud	INTJ
ejpam-3951	237	37	)	)	PUNCT
ejpam-3951	237	38	it	it	PRON
ejpam-3951	237	39	follows	follow	VERB
ejpam-3951	237	40	that	that	SCONJ
ejpam-3951	237	41	,	,	PUNCT
ejpam-3951	237	42	cxi	cxi	PROPN
ejpam-3951	237	43	/	/	SYM
ejpam-3951	237	44	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	237	45	,	,	PUNCT
ejpam-3951	237	46	u	u	NOUN
ejpam-3951	237	47	,	,	PUNCT
ejpam-3951	237	48	...	...	PUNCT
ejpam-3951	237	49	,	,	PUNCT
ejpam-3951	237	50	u	u	NOUN
ejpam-3951	237	51	)	)	PUNCT
ejpam-3951	237	52	=	=	SYM
ejpam-3951	237	53	∂h+1,	∂h+1,	PROPN
ejpam-3951	237	54	...	...	PUNCT
ejpam-3951	237	55	,d	,d	PUNCT
ejpam-3951	237	56	∂ic(ui	∂ic(ui	PROPN
ejpam-3951	237	57	,	,	PUNCT
ejpam-3951	237	58	uh+1	uh+1	PROPN
ejpam-3951	237	59	,	,	PUNCT
ejpam-3951	237	60	...	...	PUNCT
ejpam-3951	237	61	,	,	PUNCT
ejpam-3951	237	62	ud	ud	INTJ
ejpam-3951	237	63	)	)	PUNCT
ejpam-3951	237	64	cd−h(uh+1	cd−h(uh+1	ADV
ejpam-3951	237	65	,	,	PUNCT
ejpam-3951	237	66	...	...	PUNCT
ejpam-3951	237	67	,	,	PUNCT
ejpam-3951	237	68	ud	ud	INTJ
ejpam-3951	237	69	)	)	PUNCT
ejpam-3951	237	70	|(ui	|(ui	PRON
ejpam-3951	237	71	,	,	PUNCT
ejpam-3951	237	72	uh+1,	uh+1,	NOUN
ejpam-3951	237	73	...	...	PUNCT
ejpam-3951	237	74	,ud)=(α	,ud)=(α	PUNCT
ejpam-3951	237	75	,	,	PUNCT
ejpam-3951	237	76	u,	u,	NUM
ejpam-3951	237	77	...	...	PUNCT
ejpam-3951	237	78	,u	,u	PUNCT
ejpam-3951	237	79	)	)	PUNCT
ejpam-3951	237	80	where	where	SCONJ
ejpam-3951	237	81	c(ui	c(ui	X
ejpam-3951	237	82	,	,	PUNCT
ejpam-3951	237	83	uh+1	uh+1	VERB
ejpam-3951	237	84	,	,	PUNCT
ejpam-3951	237	85	...	...	PUNCT
ejpam-3951	237	86	,	,	PUNCT
ejpam-3951	237	87	ud	ud	INTJ
ejpam-3951	237	88	)	)	PUNCT
ejpam-3951	237	89	=	=	SYM
ejpam-3951	238	1	c(1	c(1	NOUN
ejpam-3951	238	2	,	,	PUNCT
ejpam-3951	238	3	...	...	PUNCT
ejpam-3951	238	4	1	1	NUM
ejpam-3951	238	5	,	,	PUNCT
ejpam-3951	238	6	ui	ui	NOUN
ejpam-3951	238	7	,	,	PUNCT
ejpam-3951	238	8	1	1	NUM
ejpam-3951	238	9	...	...	SYM
ejpam-3951	238	10	1	1	NUM
ejpam-3951	238	11	,	,	PUNCT
ejpam-3951	238	12	uh+1	uh+1	VERB
ejpam-3951	238	13	,	,	PUNCT
ejpam-3951	238	14	...	...	PUNCT
ejpam-3951	238	15	,	,	PUNCT
ejpam-3951	238	16	ud	ud	INTJ
ejpam-3951	238	17	)	)	PUNCT
ejpam-3951	238	18	.	.	PUNCT
ejpam-3951	239	1	finally	finally	ADV
ejpam-3951	239	2	,	,	PUNCT
ejpam-3951	239	3	ζlh	ζlh	ADV
ejpam-3951	239	4	,	,	PUNCT
ejpam-3951	239	5	i	i	PROPN
ejpam-3951	239	6	=	=	PROPN
ejpam-3951	239	7	lim	lim	PROPN
ejpam-3951	239	8	u→0	u→0	PROPN
ejpam-3951	239	9	+	+	NOUN
ejpam-3951	239	10	∫	∫	PROPN
ejpam-3951	239	11	1	1	NUM
ejpam-3951	239	12	u	u	NOUN
ejpam-3951	239	13	v	v	ADP
ejpam-3951	239	14	arxi(α)cxi	arxi(α)cxi	NOUN
ejpam-3951	239	15	/	/	SYM
ejpam-3951	239	16	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	239	17	,	,	PUNCT
ejpam-3951	239	18	u	u	NOUN
ejpam-3951	239	19	,	,	PUNCT
ejpam-3951	239	20	...	...	PUNCT
ejpam-3951	239	21	,	,	PUNCT
ejpam-3951	239	22	u)dα	u)dα	PROPN
ejpam-3951	239	23	.	.	PUNCT
ejpam-3951	239	24	ii	ii	PROPN
ejpam-3951	239	25	)	)	PUNCT
ejpam-3951	239	26	in	in	ADP
ejpam-3951	239	27	the	the	DET
ejpam-3951	239	28	same	same	ADJ
ejpam-3951	239	29	way	way	NOUN
ejpam-3951	239	30	,	,	PUNCT
ejpam-3951	239	31	for	for	SCONJ
ejpam-3951	239	32	each	each	DET
ejpam-3951	239	33	marginal	marginal	ADJ
ejpam-3951	239	34	coefficient	coefficient	NOUN
ejpam-3951	239	35	of	of	ADP
ejpam-3951	239	36	upper	upper	ADJ
ejpam-3951	239	37	tail	tail	NOUN
ejpam-3951	239	38	ζlh	ζlh	NOUN
ejpam-3951	239	39	,	,	PUNCT
ejpam-3951	239	40	i	i	PRON
ejpam-3951	239	41	,	,	PUNCT
ejpam-3951	239	42	i	i	NOUN
ejpam-3951	239	43	=	=	NOUN
ejpam-3951	239	44	1	1	NUM
ejpam-3951	239	45	,	,	PUNCT
ejpam-3951	239	46	..	..	PUNCT
ejpam-3951	239	47	,	,	PUNCT
ejpam-3951	239	48	h	h	NOUN
ejpam-3951	239	49	;	;	PUNCT
ejpam-3951	239	50	the	the	DET
ejpam-3951	239	51	conditional	conditional	ADJ
ejpam-3951	239	52	distribution	distribution	NOUN
ejpam-3951	239	53	of	of	ADP
ejpam-3951	239	54	{	{	PUNCT
ejpam-3951	239	55	xi	xi	X
ejpam-3951	239	56	>	>	X
ejpam-3951	239	57	./xh+1	./xh+1	PROPN
ejpam-3951	239	58	>	>	X
ejpam-3951	239	59	.	.	PUNCT
ejpam-3951	239	60	,	,	PUNCT
ejpam-3951	239	61	...	...	PUNCT
ejpam-3951	239	62	,	,	PUNCT
ejpam-3951	239	63	xd	xd	INTJ
ejpam-3951	239	64	>	>	X
ejpam-3951	239	65	.	.	PUNCT
ejpam-3951	239	66	}	}	PUNCT
ejpam-3951	239	67	is	be	AUX
ejpam-3951	239	68	given	give	VERB
ejpam-3951	239	69	by	by	ADP
ejpam-3951	239	70	;	;	PUNCT
ejpam-3951	239	71	f̆	f̆	NOUN
ejpam-3951	239	72	(	(	PUNCT
ejpam-3951	239	73	xi	xi	PROPN
ejpam-3951	239	74	,	,	PUNCT
ejpam-3951	239	75	xh+1	xh+1	PROPN
ejpam-3951	239	76	,	,	PUNCT
ejpam-3951	239	77	...	...	PUNCT
ejpam-3951	239	78	,	,	PUNCT
ejpam-3951	239	79	xd	xd	ADP
ejpam-3951	239	80	)	)	PUNCT
ejpam-3951	239	81	=	=	SYM
ejpam-3951	239	82	c̄(1−	c̄(1−	NOUN
ejpam-3951	239	83	fi(xi	fi(xi	NOUN
ejpam-3951	239	84	)	)	PUNCT
ejpam-3951	239	85	,	,	PUNCT
ejpam-3951	239	86	1−	1−	NUM
ejpam-3951	239	87	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	239	88	)	)	PUNCT
ejpam-3951	239	89	,	,	PUNCT
ejpam-3951	239	90	...	...	PUNCT
ejpam-3951	239	91	,	,	PUNCT
ejpam-3951	239	92	fd(xd	fd(xd	NOUN
ejpam-3951	239	93	)	)	PUNCT
ejpam-3951	239	94	)	)	PUNCT
ejpam-3951	239	95	c̄d−h(1−	c̄d−h(1−	PROPN
ejpam-3951	239	96	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	239	97	)	)	PUNCT
ejpam-3951	239	98	,	,	PUNCT
ejpam-3951	239	99	...	...	PUNCT
ejpam-3951	239	100	,	,	PUNCT
ejpam-3951	239	101	fd(xd	fd(xd	NOUN
ejpam-3951	239	102	)	)	PUNCT
ejpam-3951	239	103	)	)	PUNCT
ejpam-3951	240	1	so	so	ADV
ejpam-3951	240	2	,	,	PUNCT
ejpam-3951	240	3	the	the	DET
ejpam-3951	240	4	corresponding	correspond	VERB
ejpam-3951	240	5	density	density	NOUN
ejpam-3951	240	6	f̆xi	f̆xi	SYM
ejpam-3951	240	7	/	/	SYM
ejpam-3951	240	8	x(d−h	x(d−h	PROPN
ejpam-3951	240	9	)	)	PUNCT
ejpam-3951	240	10	is	be	AUX
ejpam-3951	240	11	obtained	obtain	VERB
ejpam-3951	240	12	,	,	PUNCT
ejpam-3951	240	13	f̆xi	f̆xi	ADJ
ejpam-3951	240	14	/	/	SYM
ejpam-3951	240	15	x(d−h)(xi	x(d−h)(xi	PROPN
ejpam-3951	240	16	,	,	PUNCT
ejpam-3951	240	17	xh+1	xh+1	PROPN
ejpam-3951	240	18	,	,	PUNCT
ejpam-3951	240	19	...	...	PUNCT
ejpam-3951	240	20	,	,	PUNCT
ejpam-3951	240	21	xd	xd	ADP
ejpam-3951	240	22	)	)	PUNCT
ejpam-3951	240	23	=	=	SYM
ejpam-3951	241	1	−fi(xi)∂h+1,	−fi(xi)∂h+1,	ADJ
ejpam-3951	241	2	...	...	PUNCT
ejpam-3951	241	3	,d	,d	PUNCT
ejpam-3951	241	4	∂ic̄d−h(1−	∂ic̄d−h(1−	PROPN
ejpam-3951	241	5	fi(xi	fi(xi	PROPN
ejpam-3951	241	6	)	)	PUNCT
ejpam-3951	241	7	,	,	PUNCT
ejpam-3951	241	8	1−	1−	NUM
ejpam-3951	241	9	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	241	10	)	)	PUNCT
ejpam-3951	241	11	,	,	PUNCT
ejpam-3951	241	12	...	...	PUNCT
ejpam-3951	241	13	,	,	PUNCT
ejpam-3951	241	14	fd(xd	fd(xd	NOUN
ejpam-3951	241	15	)	)	PUNCT
ejpam-3951	241	16	)	)	PUNCT
ejpam-3951	242	1	c̄(1−	c̄(1−	PROPN
ejpam-3951	242	2	fh+1(xh+1	fh+1(xh+1	PROPN
ejpam-3951	242	3	)	)	PUNCT
ejpam-3951	242	4	,	,	PUNCT
ejpam-3951	242	5	...	...	PUNCT
ejpam-3951	242	6	,	,	PUNCT
ejpam-3951	242	7	fd(xd	fd(xd	NOUN
ejpam-3951	242	8	)	)	PUNCT
ejpam-3951	242	9	)	)	PUNCT
ejpam-3951	242	10	,	,	PUNCT
ejpam-3951	242	11	it	it	PRON
ejpam-3951	242	12	follows	follow	VERB
ejpam-3951	242	13	that	that	SCONJ
ejpam-3951	242	14	,	,	PUNCT
ejpam-3951	242	15	for	for	ADP
ejpam-3951	242	16	all	all	DET
ejpam-3951	242	17	(	(	PUNCT
ejpam-3951	242	18	ui	ui	PROPN
ejpam-3951	242	19	,	,	PUNCT
ejpam-3951	242	20	uh+1	uh+1	PROPN
ejpam-3951	242	21	,	,	PUNCT
ejpam-3951	242	22	...	...	PUNCT
ejpam-3951	242	23	,	,	PUNCT
ejpam-3951	242	24	ud	ud	INTJ
ejpam-3951	242	25	)	)	PUNCT
ejpam-3951	242	26	∈	∈	PROPN
ejpam-3951	243	1	[	[	X
ejpam-3951	243	2	0	0	NUM
ejpam-3951	243	3	,	,	PUNCT
ejpam-3951	243	4	1]×	1]×	NUM
ejpam-3951	243	5	[	[	X
ejpam-3951	243	6	0	0	NUM
ejpam-3951	243	7	,	,	PUNCT
ejpam-3951	243	8	1]d−h	1]d−h	NUM
ejpam-3951	243	9	,	,	PUNCT
ejpam-3951	243	10	c̆xi	c̆xi	NOUN
ejpam-3951	243	11	/	/	SYM
ejpam-3951	243	12	x(d−h)(ui	x(d−h)(ui	NOUN
ejpam-3951	243	13	,	,	PUNCT
ejpam-3951	243	14	uh+1	uh+1	PROPN
ejpam-3951	243	15	,	,	PUNCT
ejpam-3951	243	16	...	...	PUNCT
ejpam-3951	243	17	,	,	PUNCT
ejpam-3951	243	18	ud	ud	INTJ
ejpam-3951	243	19	)	)	PUNCT
ejpam-3951	243	20	=	=	SYM
ejpam-3951	243	21	∂h+1,	∂h+1,	PROPN
ejpam-3951	243	22	...	...	PUNCT
ejpam-3951	243	23	,d	,d	PUNCT
ejpam-3951	243	24	∂ic̄(1−	∂ic̄(1−	PUNCT
ejpam-3951	243	25	ui	ui	PROPN
ejpam-3951	243	26	,	,	PUNCT
ejpam-3951	243	27	1−	1−	NUM
ejpam-3951	243	28	uh+1	uh+1	PROPN
ejpam-3951	243	29	,	,	PUNCT
ejpam-3951	243	30	...	...	PUNCT
ejpam-3951	243	31	,	,	PUNCT
ejpam-3951	243	32	1−	1−	NUM
ejpam-3951	243	33	ud	ud	NOUN
ejpam-3951	243	34	)	)	PUNCT
ejpam-3951	243	35	)	)	PUNCT
ejpam-3951	243	36	c̄d−h(1−	c̄d−h(1−	VERB
ejpam-3951	243	37	uh+1	uh+1	PROPN
ejpam-3951	243	38	,	,	PUNCT
ejpam-3951	243	39	...	...	PUNCT
ejpam-3951	243	40	,	,	PUNCT
ejpam-3951	243	41	1−	1−	NUM
ejpam-3951	243	42	ud	ud	INTJ
ejpam-3951	243	43	)	)	PUNCT
ejpam-3951	243	44	,	,	PUNCT
ejpam-3951	243	45	which	which	PRON
ejpam-3951	243	46	implies	imply	VERB
ejpam-3951	243	47	,	,	PUNCT
ejpam-3951	243	48	c̆xi	c̆xi	ADJ
ejpam-3951	243	49	/	/	SYM
ejpam-3951	243	50	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	243	51	,	,	PUNCT
ejpam-3951	243	52	u	u	NOUN
ejpam-3951	243	53	,	,	PUNCT
ejpam-3951	243	54	...	...	PUNCT
ejpam-3951	243	55	,	,	PUNCT
ejpam-3951	243	56	u	u	NOUN
ejpam-3951	243	57	)	)	PUNCT
ejpam-3951	243	58	=	=	SYM
ejpam-3951	243	59	∂h+1,	∂h+1,	PROPN
ejpam-3951	243	60	...	...	PUNCT
ejpam-3951	243	61	,d	,d	PUNCT
ejpam-3951	243	62	∂ic̄(1−	∂ic̄(1−	PUNCT
ejpam-3951	243	63	ui	ui	PROPN
ejpam-3951	243	64	,	,	PUNCT
ejpam-3951	243	65	1−	1−	NUM
ejpam-3951	243	66	uh+1	uh+1	PROPN
ejpam-3951	243	67	,	,	PUNCT
ejpam-3951	243	68	...	...	PUNCT
ejpam-3951	243	69	,	,	PUNCT
ejpam-3951	243	70	1−	1−	NUM
ejpam-3951	243	71	ud	ud	NOUN
ejpam-3951	243	72	)	)	PUNCT
ejpam-3951	243	73	)	)	PUNCT
ejpam-3951	243	74	c̄d−h(1−	c̄d−h(1−	VERB
ejpam-3951	243	75	uh+1	uh+1	PROPN
ejpam-3951	243	76	,	,	PUNCT
ejpam-3951	243	77	...	...	PUNCT
ejpam-3951	243	78	,	,	PUNCT
ejpam-3951	243	79	1−	1−	NUM
ejpam-3951	243	80	ud	ud	NOUN
ejpam-3951	243	81	)	)	PUNCT
ejpam-3951	243	82	|(ui	|(ui	NOUN
ejpam-3951	243	83	,	,	PUNCT
ejpam-3951	243	84	uh+1,	uh+1,	NOUN
ejpam-3951	243	85	...	...	PUNCT
ejpam-3951	243	86	,ud)=(α	,ud)=(α	PUNCT
ejpam-3951	243	87	,	,	PUNCT
ejpam-3951	243	88	u,	u,	NUM
ejpam-3951	243	89	...	...	PUNCT
ejpam-3951	243	90	,u	,u	PUNCT
ejpam-3951	243	91	)	)	PUNCT
ejpam-3951	243	92	,	,	PUNCT
ejpam-3951	243	93	with	with	ADP
ejpam-3951	243	94	c̄(1−	c̄(1−	PROPN
ejpam-3951	243	95	ui	ui	NOUN
ejpam-3951	243	96	,	,	PUNCT
ejpam-3951	243	97	1−	1−	NUM
ejpam-3951	243	98	uh+1	uh+1	PROPN
ejpam-3951	243	99	,	,	PUNCT
ejpam-3951	243	100	...	...	PUNCT
ejpam-3951	243	101	,	,	PUNCT
ejpam-3951	243	102	1−	1−	NUM
ejpam-3951	243	103	ud	ud	NOUN
ejpam-3951	243	104	)	)	PUNCT
ejpam-3951	243	105	=	=	SYM
ejpam-3951	243	106	c̄(1	c̄(1	NOUN
ejpam-3951	243	107	,	,	PUNCT
ejpam-3951	243	108	...	...	PUNCT
ejpam-3951	243	109	1	1	NUM
ejpam-3951	243	110	,	,	PUNCT
ejpam-3951	243	111	1−	1−	NUM
ejpam-3951	243	112	ui	ui	NOUN
ejpam-3951	243	113	,	,	PUNCT
ejpam-3951	243	114	1	1	NUM
ejpam-3951	243	115	...	...	SYM
ejpam-3951	243	116	1	1	NUM
ejpam-3951	243	117	,	,	PUNCT
ejpam-3951	243	118	1−	1−	NUM
ejpam-3951	243	119	uh+1	uh+1	NUM
ejpam-3951	243	120	,	,	PUNCT
ejpam-3951	243	121	...	...	PUNCT
ejpam-3951	243	122	,	,	PUNCT
ejpam-3951	243	123	1−	1−	NUM
ejpam-3951	243	124	ud	ud	NOUN
ejpam-3951	243	125	)	)	PUNCT
ejpam-3951	243	126	.	.	PUNCT
ejpam-3951	244	1	and	and	CCONJ
ejpam-3951	244	2	finaly	finaly	PROPN
ejpam-3951	244	3	,	,	PUNCT
ejpam-3951	244	4	ζuh	ζuh	PROPN
ejpam-3951	244	5	,	,	PUNCT
ejpam-3951	244	6	i	i	PRON
ejpam-3951	245	1	=	=	PROPN
ejpam-3951	245	2	lim	lim	PROPN
ejpam-3951	245	3	u→1−	u→1−	PROPN
ejpam-3951	245	4	∫	∫	PROPN
ejpam-3951	245	5	1−u	1−u	NUM
ejpam-3951	245	6	0	0	NUM
ejpam-3951	245	7	v	v	ADP
ejpam-3951	245	8	arxi(1−	arxi(1−	PROPN
ejpam-3951	245	9	α)c̆xi	α)c̆xi	NUM
ejpam-3951	245	10	/	/	SYM
ejpam-3951	245	11	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	245	12	,	,	PUNCT
ejpam-3951	245	13	u	u	NOUN
ejpam-3951	245	14	,	,	PUNCT
ejpam-3951	245	15	...	...	PUNCT
ejpam-3951	245	16	,	,	PUNCT
ejpam-3951	245	17	u)dα	u)dα	PROPN
ejpam-3951	245	18	.	.	PUNCT
ejpam-3951	246	1	d.	d.	PROPN
ejpam-3951	246	2	barro	barro	PROPN
ejpam-3951	246	3	et	et	PROPN
ejpam-3951	246	4	al	al	PROPN
ejpam-3951	246	5	.	.	PUNCT
ejpam-3951	246	6	/	/	SYM
ejpam-3951	246	7	eur	eur	PROPN
ejpam-3951	246	8	.	.	PUNCT
ejpam-3951	247	1	j.	j.	PROPN
ejpam-3951	247	2	pure	pure	PROPN
ejpam-3951	247	3	appl	appl	PROPN
ejpam-3951	247	4	.	.	PROPN
ejpam-3951	247	5	math	math	PROPN
ejpam-3951	247	6	,	,	PUNCT
ejpam-3951	247	7	14	14	NUM
ejpam-3951	247	8	(	(	PUNCT
ejpam-3951	247	9	3	3	NUM
ejpam-3951	247	10	)	)	PUNCT
ejpam-3951	247	11	(	(	PUNCT
ejpam-3951	247	12	2021	2021	NUM
ejpam-3951	247	13	)	)	PUNCT
ejpam-3951	247	14	,	,	PUNCT
ejpam-3951	247	15	1057	1057	NUM
ejpam-3951	247	16	-	-	SYM
ejpam-3951	247	17	1081	1081	NUM
ejpam-3951	247	18	1068	1068	NUM
ejpam-3951	247	19	it	it	PRON
ejpam-3951	247	20	is	be	AUX
ejpam-3951	247	21	easy	easy	ADJ
ejpam-3951	247	22	to	to	PART
ejpam-3951	247	23	remark	remark	VERB
ejpam-3951	247	24	that	that	SCONJ
ejpam-3951	247	25	for	for	ADP
ejpam-3951	247	26	the	the	DET
ejpam-3951	247	27	particular	particular	ADJ
ejpam-3951	247	28	case	case	NOUN
ejpam-3951	247	29	where	where	SCONJ
ejpam-3951	247	30	the	the	DET
ejpam-3951	247	31	copula	copula	NOUN
ejpam-3951	247	32	associeted	associete	VERB
ejpam-3951	247	33	to	to	ADP
ejpam-3951	247	34	the	the	DET
ejpam-3951	247	35	vector	vector	NOUN
ejpam-3951	247	36	x	x	PUNCT
ejpam-3951	247	37	=	=	SYM
ejpam-3951	247	38	(	(	PUNCT
ejpam-3951	247	39	x1	x1	PROPN
ejpam-3951	247	40	,	,	PUNCT
ejpam-3951	247	41	...	...	PUNCT
ejpam-3951	247	42	,	,	PUNCT
ejpam-3951	247	43	xd	xd	INTJ
ejpam-3951	247	44	)	)	PUNCT
ejpam-3951	247	45	is	be	AUX
ejpam-3951	247	46	the	the	DET
ejpam-3951	247	47	independant	independant	ADJ
ejpam-3951	247	48	one	one	NOUN
ejpam-3951	247	49	,	,	PUNCT
ejpam-3951	247	50	that	that	ADV
ejpam-3951	247	51	is	is	ADV
ejpam-3951	247	52	:	:	PUNCT
ejpam-3951	247	53	c(u1	c(u1	NOUN
ejpam-3951	247	54	,	,	PUNCT
ejpam-3951	247	55	...	...	PUNCT
ejpam-3951	247	56	,	,	PUNCT
ejpam-3951	247	57	un	un	PROPN
ejpam-3951	247	58	)	)	PUNCT
ejpam-3951	247	59	=	=	SYM
ejpam-3951	247	60	u1	u1	NOUN
ejpam-3951	247	61	×	×	NOUN
ejpam-3951	247	62	...	...	PUNCT
ejpam-3951	247	63	×	×	PROPN
ejpam-3951	247	64	un	un	NOUN
ejpam-3951	247	65	,	,	PUNCT
ejpam-3951	247	66	then	then	ADV
ejpam-3951	247	67	,	,	PUNCT
ejpam-3951	247	68	cxi	cxi	PROPN
ejpam-3951	247	69	/	/	SYM
ejpam-3951	247	70	x(d−h)(ui	x(d−h)(ui	PROPN
ejpam-3951	247	71	,	,	PUNCT
ejpam-3951	247	72	uh+1	uh+1	PROPN
ejpam-3951	247	73	,	,	PUNCT
ejpam-3951	247	74	...	...	PUNCT
ejpam-3951	247	75	,	,	PUNCT
ejpam-3951	247	76	un	un	PROPN
ejpam-3951	247	77	)	)	PUNCT
ejpam-3951	247	78	=	=	SYM
ejpam-3951	247	79	ui	ui	PROPN
ejpam-3951	247	80	,	,	PUNCT
ejpam-3951	247	81	⇒	⇒	PROPN
ejpam-3951	247	82	cxi	cxi	PROPN
ejpam-3951	247	83	/	/	SYM
ejpam-3951	247	84	x(d−h)(ui	x(d−h)(ui	PROPN
ejpam-3951	247	85	,	,	PUNCT
ejpam-3951	247	86	uh+1	uh+1	PROPN
ejpam-3951	247	87	,	,	PUNCT
ejpam-3951	247	88	...	...	PUNCT
ejpam-3951	247	89	,	,	PUNCT
ejpam-3951	247	90	un	un	PROPN
ejpam-3951	247	91	)	)	PUNCT
ejpam-3951	247	92	=	=	SYM
ejpam-3951	247	93	0	0	NUM
ejpam-3951	247	94	and	and	CCONJ
ejpam-3951	247	95	c̆xi	c̆xi	ADJ
ejpam-3951	247	96	/	/	SYM
ejpam-3951	247	97	x(d−h)(ui	x(d−h)(ui	NOUN
ejpam-3951	247	98	,	,	PUNCT
ejpam-3951	247	99	uh+1	uh+1	PROPN
ejpam-3951	247	100	,	,	PUNCT
ejpam-3951	247	101	...	...	PUNCT
ejpam-3951	247	102	,	,	PUNCT
ejpam-3951	247	103	un	un	PROPN
ejpam-3951	247	104	)	)	PUNCT
ejpam-3951	247	105	=	=	SYM
ejpam-3951	247	106	1−	1−	NUM
ejpam-3951	247	107	ui	ui	NOUN
ejpam-3951	247	108	,	,	PUNCT
ejpam-3951	247	109	⇒	⇒	NOUN
ejpam-3951	247	110	c̆xi	c̆xi	NOUN
ejpam-3951	247	111	/	/	SYM
ejpam-3951	247	112	x(d−h)(ui	x(d−h)(ui	PROPN
ejpam-3951	247	113	,	,	PUNCT
ejpam-3951	247	114	uh+1	uh+1	PROPN
ejpam-3951	247	115	,	,	PUNCT
ejpam-3951	247	116	...	...	PUNCT
ejpam-3951	247	117	,	,	PUNCT
ejpam-3951	247	118	un	un	PROPN
ejpam-3951	247	119	)	)	PUNCT
ejpam-3951	247	120	=	=	SYM
ejpam-3951	247	121	0	0	NUM
ejpam-3951	248	1	from	from	ADP
ejpam-3951	248	2	where	where	SCONJ
ejpam-3951	248	3	ζuh	ζuh	NOUN
ejpam-3951	248	4	=	=	NOUN
ejpam-3951	248	5	0	0	NUM
ejpam-3951	248	6	and	and	CCONJ
ejpam-3951	248	7	ζlh	ζlh	ADV
ejpam-3951	248	8	=	=	SYM
ejpam-3951	248	9	0	0	X
ejpam-3951	248	10	.	.	PUNCT
ejpam-3951	248	11	belonging	belong	VERB
ejpam-3951	248	12	both	both	PRON
ejpam-3951	248	13	to	to	ADP
ejpam-3951	248	14	the	the	DET
ejpam-3951	248	15	max	max	PROPN
ejpam-3951	248	16	-	-	PUNCT
ejpam-3951	248	17	stable	stable	ADJ
ejpam-3951	248	18	and	and	CCONJ
ejpam-3951	248	19	the	the	DET
ejpam-3951	248	20	archimax	archimax	ADJ
ejpam-3951	248	21	families	family	NOUN
ejpam-3951	248	22	,	,	PUNCT
ejpam-3951	248	23	the	the	DET
ejpam-3951	248	24	logistic	logistic	ADJ
ejpam-3951	248	25	family	family	NOUN
ejpam-3951	248	26	plays	play	VERB
ejpam-3951	248	27	a	a	DET
ejpam-3951	248	28	key	key	ADJ
ejpam-3951	248	29	role	role	NOUN
ejpam-3951	248	30	in	in	ADP
ejpam-3951	248	31	extremal	extremal	ADJ
ejpam-3951	248	32	modeling	modeling	NOUN
ejpam-3951	248	33	.	.	PUNCT
ejpam-3951	249	1	corollary	corollary	ADJ
ejpam-3951	249	2	1	1	NUM
ejpam-3951	249	3	.	.	PUNCT
ejpam-3951	250	1	the	the	DET
ejpam-3951	250	2	classic	classic	ADJ
ejpam-3951	250	3	copula	copula	NOUN
ejpam-3951	250	4	associated	associate	VERB
ejpam-3951	250	5	to	to	ADP
ejpam-3951	250	6	the	the	DET
ejpam-3951	250	7	logistic	logistic	ADJ
ejpam-3951	250	8	family	family	NOUN
ejpam-3951	250	9	(	(	PUNCT
ejpam-3951	250	10	gumbel	gumbel	PROPN
ejpam-3951	250	11	’s	’s	PART
ejpam-3951	250	12	copula	copula	NOUN
ejpam-3951	250	13	)	)	PUNCT
ejpam-3951	250	14	does	do	AUX
ejpam-3951	250	15	not	not	PART
ejpam-3951	250	16	admit	admit	VERB
ejpam-3951	250	17	coefficient	coefficient	NOUN
ejpam-3951	250	18	of	of	ADP
ejpam-3951	250	19	average	average	ADJ
ejpam-3951	250	20	dependence	dependence	NOUN
ejpam-3951	250	21	of	of	ADP
ejpam-3951	250	22	lower	low	ADJ
ejpam-3951	250	23	tail	tail	NOUN
ejpam-3951	250	24	,	,	PUNCT
ejpam-3951	250	25	while	while	SCONJ
ejpam-3951	250	26	that	that	PRON
ejpam-3951	250	27	of	of	ADP
ejpam-3951	250	28	upper	upper	ADJ
ejpam-3951	250	29	tail	tail	NOUN
ejpam-3951	250	30	is	be	AUX
ejpam-3951	250	31	asymptotically	asymptotically	ADV
ejpam-3951	250	32	negligible	negligible	ADJ
ejpam-3951	250	33	.	.	PUNCT
ejpam-3951	251	1	proof	proof	NOUN
ejpam-3951	251	2	.	.	PUNCT
ejpam-3951	252	1	let	let	VERB
ejpam-3951	252	2	(	(	PUNCT
ejpam-3951	252	3	x	x	X
ejpam-3951	252	4	,	,	PUNCT
ejpam-3951	252	5	y	y	PROPN
ejpam-3951	252	6	)	)	PUNCT
ejpam-3951	252	7	a	a	DET
ejpam-3951	252	8	bivariate	bivariate	ADJ
ejpam-3951	252	9	vector	vector	NOUN
ejpam-3951	252	10	with	with	ADP
ejpam-3951	252	11	joint	joint	ADJ
ejpam-3951	252	12	distribution	distribution	NOUN
ejpam-3951	252	13	f	f	X
ejpam-3951	252	14	(	(	PUNCT
ejpam-3951	252	15	x	x	PROPN
ejpam-3951	252	16	,	,	PUNCT
ejpam-3951	252	17	y	y	NOUN
ejpam-3951	252	18	)	)	PUNCT
ejpam-3951	252	19	=	=	SYM
ejpam-3951	252	20	(	(	PUNCT
ejpam-3951	252	21	1−e−x−e−y)−1	1−e−x−e−y)−1	NUM
ejpam-3951	252	22	.	.	PUNCT
ejpam-3951	253	1	the	the	DET
ejpam-3951	253	2	marginal	marginal	ADJ
ejpam-3951	253	3	distributions	distribution	NOUN
ejpam-3951	253	4	are	be	AUX
ejpam-3951	253	5	equal	equal	ADJ
ejpam-3951	253	6	to	to	ADP
ejpam-3951	253	7	fx(t	fx(t	NOUN
ejpam-3951	253	8	)	)	PUNCT
ejpam-3951	253	9	=	=	SYM
ejpam-3951	253	10	fy	fy	PROPN
ejpam-3951	253	11	(	(	PUNCT
ejpam-3951	253	12	t	t	PROPN
ejpam-3951	253	13	)	)	PUNCT
ejpam-3951	253	14	=	=	PUNCT
ejpam-3951	253	15	(	(	PUNCT
ejpam-3951	253	16	1	1	NUM
ejpam-3951	253	17	−	−	PRON
ejpam-3951	253	18	e−t)−1	e−t)−1	NOUN
ejpam-3951	253	19	and	and	CCONJ
ejpam-3951	253	20	the	the	DET
ejpam-3951	253	21	associeted	associeted	ADJ
ejpam-3951	253	22	copula	copula	NOUN
ejpam-3951	253	23	is	be	AUX
ejpam-3951	253	24	c(u	c(u	PROPN
ejpam-3951	253	25	,	,	PUNCT
ejpam-3951	253	26	v	v	NOUN
ejpam-3951	253	27	)	)	PUNCT
ejpam-3951	253	28	=	=	NOUN
ejpam-3951	254	1	uv	uv	NOUN
ejpam-3951	254	2	u+	u+	NOUN
ejpam-3951	254	3	v	v	ADP
ejpam-3951	254	4	−	−	PROPN
ejpam-3951	254	5	uv	uv	NOUN
ejpam-3951	254	6	.	.	PUNCT
ejpam-3951	255	1	the	the	DET
ejpam-3951	255	2	conditional	conditional	ADJ
ejpam-3951	255	3	copula	copula	NOUN
ejpam-3951	255	4	for	for	ADP
ejpam-3951	255	5	lower	low	ADJ
ejpam-3951	255	6	tail	tail	NOUN
ejpam-3951	255	7	cx	cx	PROPN
ejpam-3951	255	8	/	/	SYM
ejpam-3951	255	9	y	y	PROPN
ejpam-3951	255	10	is	be	AUX
ejpam-3951	255	11	given	give	VERB
ejpam-3951	255	12	by	by	ADP
ejpam-3951	255	13	cx	cx	PROPN
ejpam-3951	255	14	/	/	SYM
ejpam-3951	255	15	y	y	PROPN
ejpam-3951	255	16	(	(	PUNCT
ejpam-3951	255	17	u	u	NOUN
ejpam-3951	255	18	,	,	PUNCT
ejpam-3951	255	19	v	v	NOUN
ejpam-3951	255	20	)	)	PUNCT
ejpam-3951	255	21	=	=	SYM
ejpam-3951	255	22	u	u	NOUN
ejpam-3951	255	23	u+	u+	NOUN
ejpam-3951	255	24	v	v	ADP
ejpam-3951	255	25	−	−	PROPN
ejpam-3951	255	26	uv	uv	NOUN
ejpam-3951	255	27	,	,	PUNCT
ejpam-3951	255	28	i	i	NOUN
ejpam-3951	255	29	)	)	PUNCT
ejpam-3951	255	30	for	for	ADP
ejpam-3951	255	31	the	the	DET
ejpam-3951	255	32	upper	upper	ADJ
ejpam-3951	255	33	tail	tail	NOUN
ejpam-3951	255	34	c̆x	c̆x	NOUN
ejpam-3951	255	35	/	/	SYM
ejpam-3951	255	36	y	y	PROPN
ejpam-3951	256	1	it	it	PRON
ejpam-3951	256	2	comes	come	VERB
ejpam-3951	256	3	that	that	SCONJ
ejpam-3951	256	4	c̆x	c̆x	PROPN
ejpam-3951	256	5	/	/	SYM
ejpam-3951	256	6	y	y	PROPN
ejpam-3951	256	7	(	(	PUNCT
ejpam-3951	256	8	u	u	NOUN
ejpam-3951	256	9	,	,	PUNCT
ejpam-3951	256	10	v	v	NOUN
ejpam-3951	256	11	)	)	PUNCT
ejpam-3951	256	12	=	=	SYM
ejpam-3951	256	13	(	(	PUNCT
ejpam-3951	256	14	1−	1−	NUM
ejpam-3951	256	15	u−	u−	PROPN
ejpam-3951	256	16	v)(u+	v)(u+	NOUN
ejpam-3951	256	17	v	v	ADP
ejpam-3951	256	18	−	−	PROPN
ejpam-3951	256	19	uv	uv	NOUN
ejpam-3951	256	20	)	)	PUNCT
ejpam-3951	257	1	+	+	CCONJ
ejpam-3951	257	2	uv	uv	NOUN
ejpam-3951	257	3	(	(	PUNCT
ejpam-3951	257	4	1−	1−	NUM
ejpam-3951	257	5	v)(u+	v)(u+	NOUN
ejpam-3951	257	6	v	v	ADP
ejpam-3951	257	7	−	−	PROPN
ejpam-3951	257	8	uv	uv	NOUN
ejpam-3951	257	9	)	)	PUNCT
ejpam-3951	257	10	=	=	SYM
ejpam-3951	257	11	1−	1−	NUM
ejpam-3951	257	12	u2	u2	PROPN
ejpam-3951	257	13	u+	u+	PUNCT
ejpam-3951	257	14	v	v	ADP
ejpam-3951	257	15	−	−	PROPN
ejpam-3951	257	16	uv	uv	NOUN
ejpam-3951	257	17	.	.	PUNCT
ejpam-3951	258	1	the	the	DET
ejpam-3951	258	2	average	average	ADJ
ejpam-3951	258	3	dependence	dependence	NOUN
ejpam-3951	258	4	functions	function	NOUN
ejpam-3951	258	5	of	of	ADP
ejpam-3951	258	6	lower	low	ADJ
ejpam-3951	258	7	and	and	CCONJ
ejpam-3951	258	8	upper	upper	ADJ
ejpam-3951	258	9	tail	tail	NOUN
ejpam-3951	258	10	are	be	AUX
ejpam-3951	258	11	calculated	calculate	VERB
ejpam-3951	258	12	such	such	ADJ
ejpam-3951	258	13	as	as	ADP
ejpam-3951	258	14	:	:	PUNCT
ejpam-3951	258	15	ζl(v	ζl(v	NUM
ejpam-3951	258	16	)	)	PUNCT
ejpam-3951	258	17	=	=	SYM
ejpam-3951	259	1	∫	∫	PROPN
ejpam-3951	259	2	1	1	NUM
ejpam-3951	259	3	v	v	PROPN
ejpam-3951	259	4	[	[	PUNCT
ejpam-3951	259	5	x−	x−	PROPN
ejpam-3951	259	6	v	v	PROPN
ejpam-3951	259	7	+	+	PROPN
ejpam-3951	259	8	xv	xv	PROPN
ejpam-3951	260	1	(	(	PUNCT
ejpam-3951	260	2	x+	x+	PROPN
ejpam-3951	260	3	v	v	ADP
ejpam-3951	260	4	−	−	PROPN
ejpam-3951	260	5	xv)3	xv)3	PROPN
ejpam-3951	261	1	ln	ln	NOUN
ejpam-3951	262	1	(	(	PUNCT
ejpam-3951	262	2	x	x	PROPN
ejpam-3951	262	3	1−	1−	NUM
ejpam-3951	262	4	x	x	SYM
ejpam-3951	262	5	)	)	PUNCT
ejpam-3951	262	6	]	]	PUNCT
ejpam-3951	263	1	dx	dx	PROPN
ejpam-3951	263	2	.	.	PUNCT
ejpam-3951	264	1	dealing	deal	VERB
ejpam-3951	264	2	with	with	ADP
ejpam-3951	264	3	integration	integration	NOUN
ejpam-3951	264	4	once	once	ADV
ejpam-3951	264	5	by	by	ADP
ejpam-3951	264	6	parts	part	NOUN
ejpam-3951	264	7	,	,	PUNCT
ejpam-3951	264	8	it	it	PRON
ejpam-3951	264	9	follows	follow	VERB
ejpam-3951	264	10	that	that	SCONJ
ejpam-3951	264	11	ζl(v	ζl(v	X
ejpam-3951	264	12	)	)	PUNCT
ejpam-3951	264	13	=	=	SYM
ejpam-3951	264	14	1−	1−	NUM
ejpam-3951	264	15	v	v	NOUN
ejpam-3951	264	16	(	(	PUNCT
ejpam-3951	264	17	2−	2−	NUM
ejpam-3951	264	18	v)2	v)2	PROPN
ejpam-3951	264	19	ln	ln	ADJ
ejpam-3951	264	20	(	(	PUNCT
ejpam-3951	264	21	v	v	NUM
ejpam-3951	264	22	1−	1−	NUM
ejpam-3951	264	23	v	v	NOUN
ejpam-3951	264	24	)	)	PUNCT
ejpam-3951	264	25	−	−	NOUN
ejpam-3951	265	1	∫	∫	PROPN
ejpam-3951	266	1	1	1	NUM
ejpam-3951	266	2	v	v	NOUN
ejpam-3951	266	3	1	1	NUM
ejpam-3951	266	4	x(1−	x(1−	PROPN
ejpam-3951	266	5	x	x	X
ejpam-3951	266	6	)	)	PUNCT
ejpam-3951	266	7	−x(1−	−x(1−	PROPN
ejpam-3951	266	8	x	x	NOUN
ejpam-3951	266	9	)	)	PUNCT
ejpam-3951	266	10	(	(	PUNCT
ejpam-3951	266	11	x+	x+	PROPN
ejpam-3951	266	12	v	v	ADP
ejpam-3951	266	13	−	−	NOUN
ejpam-3951	266	14	xv)2	xv)2	PROPN
ejpam-3951	266	15	dx	dx	PROPN
ejpam-3951	266	16	which	which	PRON
ejpam-3951	266	17	gives	give	VERB
ejpam-3951	266	18	,	,	PUNCT
ejpam-3951	266	19	twice	twice	ADV
ejpam-3951	266	20	by	by	ADP
ejpam-3951	266	21	parts	part	NOUN
ejpam-3951	266	22	ζl(v	ζl(v	NOUN
ejpam-3951	266	23	)	)	PUNCT
ejpam-3951	266	24	=	=	PUNCT
ejpam-3951	266	25	(	(	PUNCT
ejpam-3951	266	26	1−	1−	NUM
ejpam-3951	266	27	v	v	NOUN
ejpam-3951	266	28	)	)	PUNCT
ejpam-3951	266	29	(	(	PUNCT
ejpam-3951	266	30	2−	2−	NUM
ejpam-3951	266	31	v)2	v)2	PROPN
ejpam-3951	266	32	ln	ln	ADJ
ejpam-3951	266	33	(	(	PUNCT
ejpam-3951	266	34	v	v	NUM
ejpam-3951	266	35	1−	1−	NUM
ejpam-3951	266	36	v	v	NOUN
ejpam-3951	266	37	)	)	PUNCT
ejpam-3951	266	38	+	+	CCONJ
ejpam-3951	267	1	1−	1−	NUM
ejpam-3951	267	2	v	v	NUM
ejpam-3951	267	3	2v	2v	NUM
ejpam-3951	267	4	−	−	PROPN
ejpam-3951	267	5	v2	v2	PROPN
ejpam-3951	267	6	(	(	PUNCT
ejpam-3951	267	7	30	30	NUM
ejpam-3951	267	8	)	)	PUNCT
ejpam-3951	267	9	and	and	CCONJ
ejpam-3951	267	10	finally	finally	ADV
ejpam-3951	267	11	,	,	PUNCT
ejpam-3951	267	12	we	we	PRON
ejpam-3951	267	13	have	have	VERB
ejpam-3951	267	14	ζl	ζl	ADV
ejpam-3951	267	15	=	=	SYM
ejpam-3951	267	16	lim	lim	PROPN
ejpam-3951	267	17	v→0	v→0	AUX
ejpam-3951	267	18	+	+	CCONJ
ejpam-3951	267	19	(	(	PUNCT
ejpam-3951	267	20	1−	1−	NUM
ejpam-3951	267	21	v	v	NOUN
ejpam-3951	267	22	)	)	PUNCT
ejpam-3951	267	23	(	(	PUNCT
ejpam-3951	267	24	2−	2−	NUM
ejpam-3951	267	25	v)2	v)2	PROPN
ejpam-3951	267	26	ln	ln	ADJ
ejpam-3951	267	27	(	(	PUNCT
ejpam-3951	267	28	v	v	NUM
ejpam-3951	267	29	1−	1−	NUM
ejpam-3951	267	30	v	v	NOUN
ejpam-3951	267	31	)	)	PUNCT
ejpam-3951	267	32	+	+	CCONJ
ejpam-3951	267	33	1−	1−	NUM
ejpam-3951	267	34	v	v	NUM
ejpam-3951	267	35	2v	2v	NUM
ejpam-3951	267	36	−	−	PROPN
ejpam-3951	267	37	v2	v2	PROPN
ejpam-3951	267	38	=	=	PUNCT
ejpam-3951	268	1	+	+	PROPN
ejpam-3951	268	2	∞.	∞.	PROPN
ejpam-3951	268	3	d.	d.	PROPN
ejpam-3951	268	4	barro	barro	PROPN
ejpam-3951	268	5	et	et	PROPN
ejpam-3951	268	6	al	al	PROPN
ejpam-3951	268	7	.	.	PUNCT
ejpam-3951	268	8	/	/	SYM
ejpam-3951	268	9	eur	eur	PROPN
ejpam-3951	268	10	.	.	PUNCT
ejpam-3951	269	1	j.	j.	PROPN
ejpam-3951	269	2	pure	pure	PROPN
ejpam-3951	269	3	appl	appl	PROPN
ejpam-3951	269	4	.	.	PROPN
ejpam-3951	269	5	math	math	PROPN
ejpam-3951	269	6	,	,	PUNCT
ejpam-3951	269	7	14	14	NUM
ejpam-3951	269	8	(	(	PUNCT
ejpam-3951	269	9	3	3	NUM
ejpam-3951	269	10	)	)	PUNCT
ejpam-3951	269	11	(	(	PUNCT
ejpam-3951	269	12	2021	2021	NUM
ejpam-3951	269	13	)	)	PUNCT
ejpam-3951	269	14	,	,	PUNCT
ejpam-3951	269	15	1057	1057	NUM
ejpam-3951	269	16	-	-	SYM
ejpam-3951	269	17	1081	1081	NUM
ejpam-3951	269	18	1069	1069	NUM
ejpam-3951	269	19	figure	figure	NOUN
ejpam-3951	269	20	1	1	NUM
ejpam-3951	269	21	:	:	PUNCT
ejpam-3951	269	22	expected	expect	VERB
ejpam-3951	269	23	(	(	PUNCT
ejpam-3951	269	24	average	average	ADJ
ejpam-3951	269	25	)	)	PUNCT
ejpam-3951	269	26	dependence	dependence	NOUN
ejpam-3951	269	27	function	function	NOUN
ejpam-3951	269	28	of	of	ADP
ejpam-3951	269	29	lower	low	ADJ
ejpam-3951	269	30	tail	tail	NOUN
ejpam-3951	269	31	and	and	CCONJ
ejpam-3951	269	32	the	the	DET
ejpam-3951	269	33	var	var	NOUN
ejpam-3951	269	34	of	of	ADP
ejpam-3951	269	35	lower	low	ADJ
ejpam-3951	269	36	tail	tail	NOUN
ejpam-3951	269	37	for	for	ADP
ejpam-3951	269	38	the	the	DET
ejpam-3951	269	39	copula	copula	NOUN
ejpam-3951	269	40	associated	associate	VERB
ejpam-3951	269	41	with	with	ADP
ejpam-3951	269	42	the	the	DET
ejpam-3951	269	43	bivariate	bivariate	ADJ
ejpam-3951	269	44	logistics	logistic	NOUN
ejpam-3951	269	45	distribution	distribution	NOUN
ejpam-3951	269	46	of	of	ADP
ejpam-3951	269	47	gumbel	gumbel	PROPN
ejpam-3951	269	48	.	.	PUNCT
ejpam-3951	270	1	the	the	DET
ejpam-3951	270	2	figure1	figure1	PROPN
ejpam-3951	270	3	,	,	PUNCT
ejpam-3951	270	4	gives	give	VERB
ejpam-3951	270	5	us	we	PRON
ejpam-3951	270	6	the	the	DET
ejpam-3951	270	7	evolution	evolution	NOUN
ejpam-3951	270	8	of	of	ADP
ejpam-3951	270	9	the	the	DET
ejpam-3951	270	10	average	average	ADJ
ejpam-3951	270	11	dependence	dependence	NOUN
ejpam-3951	270	12	function	function	NOUN
ejpam-3951	270	13	of	of	ADP
ejpam-3951	270	14	the	the	DET
ejpam-3951	270	15	lower	low	ADJ
ejpam-3951	270	16	tail	tail	NOUN
ejpam-3951	270	17	,	,	PUNCT
ejpam-3951	270	18	with	with	ADP
ejpam-3951	270	19	the	the	DET
ejpam-3951	270	20	corresponding	correspond	VERB
ejpam-3951	270	21	var	var	NOUN
ejpam-3951	270	22	and	and	CCONJ
ejpam-3951	270	23	the	the	DET
ejpam-3951	270	24	bound	bind	VERB
ejpam-3951	270	25	defined	define	VERB
ejpam-3951	270	26	in	in	ADP
ejpam-3951	270	27	relation	relation	NOUN
ejpam-3951	270	28	(	(	PUNCT
ejpam-3951	270	29	52	52	NUM
ejpam-3951	270	30	)	)	PUNCT
ejpam-3951	270	31	.	.	PUNCT
ejpam-3951	271	1	ii	ii	PROPN
ejpam-3951	271	2	)	)	PUNCT
ejpam-3951	271	3	for	for	ADP
ejpam-3951	271	4	the	the	DET
ejpam-3951	271	5	upper	upper	ADJ
ejpam-3951	271	6	tail	tail	NOUN
ejpam-3951	271	7	,	,	PUNCT
ejpam-3951	271	8	it	it	PRON
ejpam-3951	271	9	comes	come	VERB
ejpam-3951	271	10	that	that	SCONJ
ejpam-3951	271	11	ζu	ζu	ADP
ejpam-3951	271	12	(	(	PUNCT
ejpam-3951	271	13	v	v	NOUN
ejpam-3951	271	14	)	)	PUNCT
ejpam-3951	271	15	=	=	SYM
ejpam-3951	272	1	∫	∫	PROPN
ejpam-3951	272	2	v	v	ADP
ejpam-3951	272	3	0	0	NUM
ejpam-3951	273	1	[	[	PUNCT
ejpam-3951	273	2	−x4(1−	−x4(1−	NOUN
ejpam-3951	273	3	v)−	v)−	PROPN
ejpam-3951	273	4	xv(−x2	xv(−x2	VERB
ejpam-3951	273	5	−	−	PROPN
ejpam-3951	273	6	2x+	2x+	NUM
ejpam-3951	273	7	2	2	NUM
ejpam-3951	273	8	)	)	PUNCT
ejpam-3951	273	9	(	(	PUNCT
ejpam-3951	273	10	x+	x+	PROPN
ejpam-3951	273	11	v	v	ADP
ejpam-3951	273	12	−	−	PROPN
ejpam-3951	273	13	xv)3	xv)3	PROPN
ejpam-3951	274	1	ln	ln	NOUN
ejpam-3951	275	1	(	(	PUNCT
ejpam-3951	275	2	x	x	PROPN
ejpam-3951	275	3	1−	1−	NUM
ejpam-3951	275	4	x	x	SYM
ejpam-3951	275	5	)	)	PUNCT
ejpam-3951	275	6	]	]	PUNCT
ejpam-3951	275	7	dx	dx	PROPN
ejpam-3951	275	8	which	which	PRON
ejpam-3951	275	9	gives	give	VERB
ejpam-3951	275	10	,	,	PUNCT
ejpam-3951	275	11	once	once	ADV
ejpam-3951	275	12	by	by	ADP
ejpam-3951	275	13	parts	part	NOUN
ejpam-3951	275	14	ζu	ζu	NOUN
ejpam-3951	275	15	(	(	PUNCT
ejpam-3951	275	16	v	v	NOUN
ejpam-3951	275	17	)	)	PUNCT
ejpam-3951	275	18	=	=	PUNCT
ejpam-3951	276	1	ln	ln	ADJ
ejpam-3951	276	2	(	(	PUNCT
ejpam-3951	276	3	v	v	NUM
ejpam-3951	276	4	1−	1−	NUM
ejpam-3951	276	5	v	v	NOUN
ejpam-3951	276	6	)	)	PUNCT
ejpam-3951	276	7	v2(1−	v2(1−	NOUN
ejpam-3951	276	8	v	v	NOUN
ejpam-3951	276	9	)	)	PUNCT
ejpam-3951	276	10	(	(	PUNCT
ejpam-3951	276	11	2v	2v	X
ejpam-3951	276	12	−	−	PROPN
ejpam-3951	277	1	v2	v2	PROPN
ejpam-3951	277	2	)	)	PUNCT
ejpam-3951	277	3	−	−	NOUN
ejpam-3951	277	4	∫	∫	PROPN
ejpam-3951	278	1	v	v	ADP
ejpam-3951	278	2	0	0	NUM
ejpam-3951	278	3	x	x	SYM
ejpam-3951	278	4	(	(	PUNCT
ejpam-3951	278	5	x+	x+	PROPN
ejpam-3951	278	6	v	v	ADP
ejpam-3951	278	7	−	−	NOUN
ejpam-3951	278	8	xv)2	xv)2	PROPN
ejpam-3951	278	9	dx	dx	PROPN
ejpam-3951	278	10	and	and	CCONJ
ejpam-3951	278	11	twice	twice	ADV
ejpam-3951	278	12	by	by	ADP
ejpam-3951	278	13	parts	part	NOUN
ejpam-3951	278	14	ζu	ζu	NOUN
ejpam-3951	278	15	(	(	PUNCT
ejpam-3951	278	16	v	v	NOUN
ejpam-3951	278	17	)	)	PUNCT
ejpam-3951	278	18	=	=	PUNCT
ejpam-3951	279	1	v(1−	v(1−	PROPN
ejpam-3951	279	2	v	v	NOUN
ejpam-3951	279	3	)	)	PUNCT
ejpam-3951	279	4	(	(	PUNCT
ejpam-3951	279	5	2−	2−	NUM
ejpam-3951	279	6	v	v	NOUN
ejpam-3951	279	7	)	)	PUNCT
ejpam-3951	279	8	ln	ln	PROPN
ejpam-3951	279	9	(	(	PUNCT
ejpam-3951	279	10	v	v	NUM
ejpam-3951	279	11	1−	1−	NUM
ejpam-3951	279	12	v	v	NOUN
ejpam-3951	279	13	)	)	PUNCT
ejpam-3951	279	14	−	−	PROPN
ejpam-3951	280	1	1−	1−	NUM
ejpam-3951	280	2	v	v	ADP
ejpam-3951	280	3	2−	2−	NUM
ejpam-3951	280	4	v	v	NOUN
ejpam-3951	280	5	+	+	CCONJ
ejpam-3951	280	6	∫	∫	PROPN
ejpam-3951	280	7	v	v	ADP
ejpam-3951	280	8	0	0	NUM
ejpam-3951	280	9	1−	1−	NUM
ejpam-3951	280	10	x	x	SYM
ejpam-3951	280	11	x(1−	x(1−	PROPN
ejpam-3951	280	12	v	v	X
ejpam-3951	280	13	)	)	PUNCT
ejpam-3951	281	1	+	+	CCONJ
ejpam-3951	281	2	v	v	ADP
ejpam-3951	281	3	dx	dx	NOUN
ejpam-3951	281	4	by	by	ADP
ejpam-3951	281	5	taking	take	VERB
ejpam-3951	281	6	r	r	NOUN
ejpam-3951	281	7	(	(	PUNCT
ejpam-3951	281	8	v	v	NOUN
ejpam-3951	281	9	)	)	PUNCT
ejpam-3951	282	1	=	=	PUNCT
ejpam-3951	282	2	v(1−	v(1−	PROPN
ejpam-3951	282	3	v	v	NOUN
ejpam-3951	282	4	)	)	PUNCT
ejpam-3951	282	5	(	(	PUNCT
ejpam-3951	282	6	2−	2−	NUM
ejpam-3951	282	7	v	v	NOUN
ejpam-3951	282	8	)	)	PUNCT
ejpam-3951	282	9	ln	ln	PROPN
ejpam-3951	282	10	(	(	PUNCT
ejpam-3951	282	11	v	v	NUM
ejpam-3951	282	12	1−	1−	NUM
ejpam-3951	282	13	v	v	NOUN
ejpam-3951	282	14	)	)	PUNCT
ejpam-3951	282	15	−	−	PROPN
ejpam-3951	283	1	1−	1−	NUM
ejpam-3951	283	2	v	v	ADP
ejpam-3951	283	3	2−	2−	NUM
ejpam-3951	283	4	v	v	ADP
ejpam-3951	283	5	one	one	NOUN
ejpam-3951	283	6	obtains	obtain	VERB
ejpam-3951	283	7	ζu	ζu	NOUN
ejpam-3951	283	8	(	(	PUNCT
ejpam-3951	283	9	v	v	NOUN
ejpam-3951	283	10	)	)	PUNCT
ejpam-3951	283	11	=	=	SYM
ejpam-3951	283	12	r	r	NOUN
ejpam-3951	283	13	(	(	PUNCT
ejpam-3951	283	14	v	v	NOUN
ejpam-3951	283	15	)	)	PUNCT
ejpam-3951	284	1	+	+	CCONJ
ejpam-3951	284	2	[	[	PUNCT
ejpam-3951	284	3	1−	1−	NUM
ejpam-3951	284	4	x	x	SYM
ejpam-3951	284	5	1−	1−	NUM
ejpam-3951	284	6	v	v	NUM
ejpam-3951	284	7	ln(x(1−	ln(x(1−	PROPN
ejpam-3951	284	8	v	v	NOUN
ejpam-3951	284	9	)	)	PUNCT
ejpam-3951	284	10	+	+	NUM
ejpam-3951	284	11	v	v	NOUN
ejpam-3951	284	12	)	)	PUNCT
ejpam-3951	284	13	]	]	PUNCT
ejpam-3951	284	14	v	v	X
ejpam-3951	284	15	0	0	NUM
ejpam-3951	284	16	−	−	NUM
ejpam-3951	284	17	1	1	NUM
ejpam-3951	284	18	1−	1−	NUM
ejpam-3951	284	19	v	v	NUM
ejpam-3951	284	20	∫	∫	PROPN
ejpam-3951	284	21	v	v	NOUN
ejpam-3951	284	22	0	0	NUM
ejpam-3951	284	23	ln(x(1−	ln(x(1−	PROPN
ejpam-3951	284	24	v	v	NOUN
ejpam-3951	284	25	)	)	PUNCT
ejpam-3951	285	1	+	+	CCONJ
ejpam-3951	286	1	v)dx	v)dx	PROPN
ejpam-3951	286	2	d.	d.	NOUN
ejpam-3951	286	3	barro	barro	PROPN
ejpam-3951	286	4	et	et	PROPN
ejpam-3951	286	5	al	al	PROPN
ejpam-3951	286	6	.	.	PUNCT
ejpam-3951	286	7	/	/	SYM
ejpam-3951	286	8	eur	eur	PROPN
ejpam-3951	286	9	.	.	PUNCT
ejpam-3951	287	1	j.	j.	PROPN
ejpam-3951	287	2	pure	pure	PROPN
ejpam-3951	287	3	appl	appl	PROPN
ejpam-3951	287	4	.	.	PROPN
ejpam-3951	287	5	math	math	PROPN
ejpam-3951	287	6	,	,	PUNCT
ejpam-3951	287	7	14	14	NUM
ejpam-3951	287	8	(	(	PUNCT
ejpam-3951	287	9	3	3	NUM
ejpam-3951	287	10	)	)	PUNCT
ejpam-3951	287	11	(	(	PUNCT
ejpam-3951	287	12	2021	2021	NUM
ejpam-3951	287	13	)	)	PUNCT
ejpam-3951	287	14	,	,	PUNCT
ejpam-3951	287	15	1057	1057	NUM
ejpam-3951	287	16	-	-	SYM
ejpam-3951	287	17	1081	1081	NUM
ejpam-3951	287	18	1070	1070	NUM
ejpam-3951	287	19	so	so	ADV
ejpam-3951	288	1	,	,	PUNCT
ejpam-3951	288	2	it	it	PRON
ejpam-3951	288	3	comes	come	VERB
ejpam-3951	288	4	that	that	PRON
ejpam-3951	288	5	:	:	PUNCT
ejpam-3951	288	6	ζu	ζu	ADP
ejpam-3951	288	7	(	(	PUNCT
ejpam-3951	288	8	v	v	NOUN
ejpam-3951	288	9	)	)	PUNCT
ejpam-3951	288	10	=	=	SYM
ejpam-3951	288	11	r	r	NOUN
ejpam-3951	288	12	(	(	PUNCT
ejpam-3951	288	13	v)+ln(v(1−v)+v)−	v)+ln(v(1−v)+v)−	NOUN
ejpam-3951	288	14	1	1	NUM
ejpam-3951	288	15	1−	1−	NUM
ejpam-3951	288	16	v	v	NOUN
ejpam-3951	288	17	(	(	PUNCT
ejpam-3951	288	18	[	[	PUNCT
ejpam-3951	288	19	x(1−	x(1−	PROPN
ejpam-3951	288	20	v	v	NOUN
ejpam-3951	288	21	)	)	PUNCT
ejpam-3951	289	1	+	+	X
ejpam-3951	289	2	v	v	ADP
ejpam-3951	289	3	1−	1−	NUM
ejpam-3951	289	4	v	v	PROPN
ejpam-3951	289	5	ln(x(1−	ln(x(1−	PROPN
ejpam-3951	289	6	v	v	NOUN
ejpam-3951	289	7	)	)	PUNCT
ejpam-3951	289	8	+	+	NUM
ejpam-3951	289	9	v	v	NOUN
ejpam-3951	289	10	)	)	PUNCT
ejpam-3951	289	11	]	]	PUNCT
ejpam-3951	289	12	v	v	X
ejpam-3951	289	13	0	0	NUM
ejpam-3951	289	14	−	−	PROPN
ejpam-3951	289	15	∫	∫	PROPN
ejpam-3951	289	16	dx	dx	PROPN
ejpam-3951	289	17	)	)	PUNCT
ejpam-3951	289	18	.	.	PUNCT
ejpam-3951	290	1	and	and	CCONJ
ejpam-3951	290	2	finally	finally	ADV
ejpam-3951	290	3	:	:	PUNCT
ejpam-3951	290	4	ζu	ζu	VERB
ejpam-3951	290	5	(	(	PUNCT
ejpam-3951	290	6	v	v	NOUN
ejpam-3951	290	7	)	)	PUNCT
ejpam-3951	290	8	=	=	PUNCT
ejpam-3951	290	9	v(1−	v(1−	PROPN
ejpam-3951	290	10	v	v	NOUN
ejpam-3951	290	11	)	)	PUNCT
ejpam-3951	290	12	(	(	PUNCT
ejpam-3951	290	13	2−	2−	NUM
ejpam-3951	290	14	v	v	NOUN
ejpam-3951	290	15	)	)	PUNCT
ejpam-3951	290	16	ln	ln	NOUN
ejpam-3951	290	17	(	(	PUNCT
ejpam-3951	290	18	v	v	NUM
ejpam-3951	290	19	1−	1−	NUM
ejpam-3951	290	20	v	v	NOUN
ejpam-3951	290	21	)	)	PUNCT
ejpam-3951	290	22	+	+	CCONJ
ejpam-3951	290	23	(	(	PUNCT
ejpam-3951	290	24	−1−	−1−	PROPN
ejpam-3951	290	25	v	v	ADP
ejpam-3951	290	26	2−	2−	NUM
ejpam-3951	290	27	v	v	NOUN
ejpam-3951	290	28	+	+	NUM
ejpam-3951	290	29	2v	2v	NUM
ejpam-3951	290	30	−	−	PROPN
ejpam-3951	291	1	v2	v2	PROPN
ejpam-3951	291	2	(	(	PUNCT
ejpam-3951	291	3	1−	1−	NUM
ejpam-3951	291	4	v)2	v)2	X
ejpam-3951	291	5	)	)	PUNCT
ejpam-3951	291	6	ln(2v	ln(2v	NOUN
ejpam-3951	291	7	−	−	PROPN
ejpam-3951	291	8	v2	v2	PROPN
ejpam-3951	291	9	)	)	PUNCT
ejpam-3951	292	1	+	+	CCONJ
ejpam-3951	292	2	1	1	X
ejpam-3951	292	3	.	.	PUNCT
ejpam-3951	292	4	(	(	PUNCT
ejpam-3951	292	5	31	31	NUM
ejpam-3951	292	6	)	)	PUNCT
ejpam-3951	292	7	therefore	therefore	ADV
ejpam-3951	292	8	,	,	PUNCT
ejpam-3951	292	9	it	it	PRON
ejpam-3951	292	10	comes	come	VERB
ejpam-3951	292	11	that	that	PRON
ejpam-3951	292	12	ζu	ζu	ADP
ejpam-3951	292	13	=	=	SYM
ejpam-3951	292	14	lim	lim	PROPN
ejpam-3951	292	15	u→1−	u→1−	PROPN
ejpam-3951	292	16	v(1−	v(1−	PROPN
ejpam-3951	292	17	v	v	NOUN
ejpam-3951	292	18	)	)	PUNCT
ejpam-3951	292	19	(	(	PUNCT
ejpam-3951	292	20	2−	2−	NUM
ejpam-3951	292	21	v	v	NOUN
ejpam-3951	292	22	)	)	PUNCT
ejpam-3951	293	1	ln	ln	NOUN
ejpam-3951	294	1	(	(	PUNCT
ejpam-3951	294	2	v	v	NUM
ejpam-3951	294	3	1−	1−	NUM
ejpam-3951	294	4	v	v	NOUN
ejpam-3951	294	5	)	)	PUNCT
ejpam-3951	295	1	+	+	CCONJ
ejpam-3951	295	2	(	(	PUNCT
ejpam-3951	295	3	−1−	−1−	PROPN
ejpam-3951	295	4	v	v	ADP
ejpam-3951	295	5	2−	2−	NUM
ejpam-3951	295	6	v	v	NOUN
ejpam-3951	295	7	+	+	NUM
ejpam-3951	295	8	2v	2v	NUM
ejpam-3951	295	9	−	−	PROPN
ejpam-3951	296	1	v2	v2	PROPN
ejpam-3951	296	2	(	(	PUNCT
ejpam-3951	296	3	1−	1−	NUM
ejpam-3951	296	4	v)2	v)2	X
ejpam-3951	296	5	)	)	PUNCT
ejpam-3951	296	6	ln(2v	ln(2v	NOUN
ejpam-3951	296	7	−	−	PROPN
ejpam-3951	296	8	v2	v2	PROPN
ejpam-3951	296	9	)	)	PUNCT
ejpam-3951	297	1	+	+	CCONJ
ejpam-3951	297	2	1	1	NUM
ejpam-3951	297	3	=	=	SYM
ejpam-3951	297	4	0	0	NUM
ejpam-3951	297	5	.	.	PUNCT
ejpam-3951	298	1	the	the	DET
ejpam-3951	298	2	figure2	figure2	NOUN
ejpam-3951	298	3	,	,	PUNCT
ejpam-3951	298	4	gives	give	VERB
ejpam-3951	298	5	us	we	PRON
ejpam-3951	298	6	the	the	DET
ejpam-3951	298	7	evolution	evolution	NOUN
ejpam-3951	298	8	of	of	ADP
ejpam-3951	298	9	the	the	DET
ejpam-3951	298	10	expected	expect	VERB
ejpam-3951	298	11	dependence	dependence	NOUN
ejpam-3951	298	12	function	function	NOUN
ejpam-3951	298	13	of	of	ADP
ejpam-3951	298	14	upper	upper	ADJ
ejpam-3951	298	15	tail	tail	NOUN
ejpam-3951	298	16	,	,	PUNCT
ejpam-3951	298	17	with	with	ADP
ejpam-3951	298	18	the	the	DET
ejpam-3951	298	19	corresponding	correspond	VERB
ejpam-3951	298	20	var	var	NOUN
ejpam-3951	298	21	and	and	CCONJ
ejpam-3951	298	22	the	the	DET
ejpam-3951	298	23	bound	bind	VERB
ejpam-3951	298	24	defined	define	VERB
ejpam-3951	298	25	in	in	ADP
ejpam-3951	298	26	relation	relation	NOUN
ejpam-3951	298	27	(	(	PUNCT
ejpam-3951	298	28	53	53	NUM
ejpam-3951	298	29	)	)	PUNCT
ejpam-3951	298	30	.	.	PUNCT
ejpam-3951	299	1	figure	figure	NOUN
ejpam-3951	299	2	2	2	NUM
ejpam-3951	299	3	:	:	PUNCT
ejpam-3951	299	4	expected	expect	VERB
ejpam-3951	299	5	dependence	dependence	NOUN
ejpam-3951	299	6	function	function	NOUN
ejpam-3951	299	7	of	of	ADP
ejpam-3951	299	8	the	the	DET
ejpam-3951	299	9	upper	upper	ADJ
ejpam-3951	299	10	tail	tail	NOUN
ejpam-3951	299	11	and	and	CCONJ
ejpam-3951	299	12	var	var	NOUN
ejpam-3951	299	13	of	of	ADP
ejpam-3951	299	14	upper	upper	ADJ
ejpam-3951	299	15	tail	tail	NOUN
ejpam-3951	299	16	of	of	ADP
ejpam-3951	299	17	the	the	DET
ejpam-3951	299	18	copula	copula	NOUN
ejpam-3951	299	19	associated	associate	VERB
ejpam-3951	299	20	with	with	ADP
ejpam-3951	299	21	the	the	DET
ejpam-3951	299	22	bivariate	bivariate	ADJ
ejpam-3951	299	23	logistics	logistic	NOUN
ejpam-3951	299	24	distribution	distribution	NOUN
ejpam-3951	299	25	of	of	ADP
ejpam-3951	299	26	gumbel	gumbel	PROPN
ejpam-3951	299	27	.	.	PUNCT
ejpam-3951	300	1	corollary	corollary	ADJ
ejpam-3951	300	2	2	2	NUM
ejpam-3951	300	3	.	.	PUNCT
ejpam-3951	301	1	let	let	AUX
ejpam-3951	301	2	(	(	PUNCT
ejpam-3951	301	3	x	x	X
ejpam-3951	301	4	,	,	PUNCT
ejpam-3951	301	5	y	y	PROPN
ejpam-3951	301	6	)	)	PUNCT
ejpam-3951	301	7	be	be	AUX
ejpam-3951	301	8	a	a	DET
ejpam-3951	301	9	bivariate	bivariate	ADJ
ejpam-3951	301	10	random	random	ADJ
ejpam-3951	301	11	variable	variable	NOUN
ejpam-3951	301	12	which	which	PRON
ejpam-3951	301	13	marginal	marginal	ADJ
ejpam-3951	301	14	distribution	distribution	NOUN
ejpam-3951	301	15	is	be	AUX
ejpam-3951	301	16	standard	standard	ADJ
ejpam-3951	301	17	fréchet	fréchet	NOUN
ejpam-3951	301	18	one	one	NUM
ejpam-3951	301	19	fx(x	fx(x	PUNCT
ejpam-3951	301	20	)	)	PUNCT
ejpam-3951	301	21	=	=	SYM
ejpam-3951	301	22	exp{−x−α	exp{−x−α	NUM
ejpam-3951	301	23	}	}	PUNCT
ejpam-3951	301	24	and	and	CCONJ
ejpam-3951	301	25	that	that	SCONJ
ejpam-3951	301	26	the	the	DET
ejpam-3951	301	27	copula	copula	NOUN
ejpam-3951	301	28	which	which	PRON
ejpam-3951	301	29	determines	determine	VERB
ejpam-3951	301	30	their	their	PRON
ejpam-3951	301	31	dependence	dependence	NOUN
ejpam-3951	301	32	structure	structure	NOUN
ejpam-3951	301	33	is	be	AUX
ejpam-3951	301	34	gumbel	gumbel	NOUN
ejpam-3951	301	35	-	-	PUNCT
ejpam-3951	301	36	hougaard	hougaard	NOUN
ejpam-3951	301	37	bivariate	bivariate	ADJ
ejpam-3951	301	38	copula	copula	NOUN
ejpam-3951	301	39	.	.	PUNCT
ejpam-3951	302	1	then	then	ADV
ejpam-3951	302	2	,	,	PUNCT
ejpam-3951	302	3	ζl	ζl	ADV
ejpam-3951	302	4	=	=	PUNCT
ejpam-3951	303	1	+	+	NOUN
ejpam-3951	303	2	∞	∞	PROPN
ejpam-3951	303	3	,	,	PUNCT
ejpam-3951	303	4	and	and	CCONJ
ejpam-3951	303	5	ζu	ζu	ADP
ejpam-3951	303	6	=	=	PUNCT
ejpam-3951	304	1	+	+	PROPN
ejpam-3951	304	2	∞.	∞.	PROPN
ejpam-3951	304	3	(	(	PUNCT
ejpam-3951	304	4	32	32	NUM
ejpam-3951	304	5	)	)	PUNCT
ejpam-3951	304	6	d.	d.	PROPN
ejpam-3951	304	7	barro	barro	PROPN
ejpam-3951	304	8	et	et	PROPN
ejpam-3951	304	9	al	al	PROPN
ejpam-3951	304	10	.	.	PUNCT
ejpam-3951	304	11	/	/	SYM
ejpam-3951	304	12	eur	eur	PROPN
ejpam-3951	304	13	.	.	PUNCT
ejpam-3951	305	1	j.	j.	PROPN
ejpam-3951	305	2	pure	pure	PROPN
ejpam-3951	305	3	appl	appl	PROPN
ejpam-3951	305	4	.	.	PROPN
ejpam-3951	305	5	math	math	PROPN
ejpam-3951	305	6	,	,	PUNCT
ejpam-3951	305	7	14	14	NUM
ejpam-3951	305	8	(	(	PUNCT
ejpam-3951	305	9	3	3	NUM
ejpam-3951	305	10	)	)	PUNCT
ejpam-3951	305	11	(	(	PUNCT
ejpam-3951	305	12	2021	2021	NUM
ejpam-3951	305	13	)	)	PUNCT
ejpam-3951	305	14	,	,	PUNCT
ejpam-3951	305	15	1057	1057	NUM
ejpam-3951	305	16	-	-	SYM
ejpam-3951	305	17	1081	1081	NUM
ejpam-3951	305	18	1071	1071	NUM
ejpam-3951	305	19	proof	proof	NOUN
ejpam-3951	305	20	.	.	PUNCT
ejpam-3951	306	1	the	the	DET
ejpam-3951	306	2	bivariate	bivariate	ADJ
ejpam-3951	306	3	gumbel	gumbel	NOUN
ejpam-3951	306	4	-	-	PUNCT
ejpam-3951	306	5	hougaard	hougaard	NOUN
ejpam-3951	306	6	copula	copula	NOUN
ejpam-3951	306	7	(	(	PUNCT
ejpam-3951	306	8	see	see	VERB
ejpam-3951	306	9	[	[	X
ejpam-3951	306	10	18	18	NUM
ejpam-3951	306	11	]	]	PUNCT
ejpam-3951	306	12	)	)	PUNCT
ejpam-3951	306	13	is	be	AUX
ejpam-3951	306	14	defined	define	VERB
ejpam-3951	306	15	∀u	∀u	NOUN
ejpam-3951	306	16	,	,	PUNCT
ejpam-3951	306	17	v	v	NOUN
ejpam-3951	306	18	∈	∈	PROPN
ejpam-3951	307	1	[	[	X
ejpam-3951	307	2	0	0	NUM
ejpam-3951	307	3	,	,	PUNCT
ejpam-3951	307	4	1	1	NUM
ejpam-3951	307	5	]	]	PUNCT
ejpam-3951	307	6	and	and	CCONJ
ejpam-3951	307	7	θ	θ	PROPN
ejpam-3951	307	8	≥	≥	NUM
ejpam-3951	307	9	1	1	NUM
ejpam-3951	307	10	,	,	PUNCT
ejpam-3951	307	11	by	by	ADP
ejpam-3951	307	12	cθ(u	cθ(u	ADJ
ejpam-3951	307	13	,	,	PUNCT
ejpam-3951	307	14	v	v	NOUN
ejpam-3951	307	15	)	)	PUNCT
ejpam-3951	307	16	=	=	SYM
ejpam-3951	307	17	exp	exp	NOUN
ejpam-3951	307	18	{	{	PUNCT
ejpam-3951	307	19	−	−	PROPN
ejpam-3951	307	20	[	[	PUNCT
ejpam-3951	307	21	(	(	PUNCT
ejpam-3951	307	22	−	−	NOUN
ejpam-3951	307	23	ln(u))θ	ln(u))θ	NOUN
ejpam-3951	307	24	+	+	CCONJ
ejpam-3951	307	25	(	(	PUNCT
ejpam-3951	307	26	−	−	PROPN
ejpam-3951	307	27	ln(v)))θ	ln(v)))θ	NOUN
ejpam-3951	307	28	]	]	X
ejpam-3951	307	29	1	1	NUM
ejpam-3951	307	30	/	/	SYM
ejpam-3951	307	31	θ	θ	NOUN
ejpam-3951	307	32	}	}	PUNCT
ejpam-3951	307	33	.	.	PUNCT
ejpam-3951	308	1	(	(	PUNCT
ejpam-3951	308	2	33	33	NUM
ejpam-3951	308	3	)	)	PUNCT
ejpam-3951	308	4	the	the	DET
ejpam-3951	308	5	conditional	conditional	ADJ
ejpam-3951	308	6	copulas	copulas	PROPN
ejpam-3951	308	7	cx	cx	PROPN
ejpam-3951	308	8	/	/	SYM
ejpam-3951	308	9	y	y	PROPN
ejpam-3951	308	10	and	and	CCONJ
ejpam-3951	308	11	c̆x	c̆x	PROPN
ejpam-3951	308	12	/	/	SYM
ejpam-3951	308	13	y	y	PROPN
ejpam-3951	308	14	are	be	AUX
ejpam-3951	308	15	given	give	VERB
ejpam-3951	308	16	by	by	ADP
ejpam-3951	308	17	cx	cx	PROPN
ejpam-3951	308	18	/	/	SYM
ejpam-3951	308	19	y	y	PROPN
ejpam-3951	308	20	(	(	PUNCT
ejpam-3951	308	21	u	u	NOUN
ejpam-3951	308	22	,	,	PUNCT
ejpam-3951	308	23	v	v	NOUN
ejpam-3951	308	24	)	)	PUNCT
ejpam-3951	308	25	=	=	PUNCT
ejpam-3951	308	26	cθ(u	cθ(u	ADJ
ejpam-3951	308	27	,	,	PUNCT
ejpam-3951	308	28	v	v	NOUN
ejpam-3951	308	29	)	)	PUNCT
ejpam-3951	308	30	v	v	NOUN
ejpam-3951	308	31	.	.	PUNCT
ejpam-3951	309	1	(	(	PUNCT
ejpam-3951	309	2	34	34	NUM
ejpam-3951	309	3	)	)	PUNCT
ejpam-3951	309	4	and	and	CCONJ
ejpam-3951	309	5	c̆x	c̆x	PROPN
ejpam-3951	309	6	/	/	SYM
ejpam-3951	309	7	y	y	PROPN
ejpam-3951	309	8	(	(	PUNCT
ejpam-3951	309	9	u	u	NOUN
ejpam-3951	309	10	,	,	PUNCT
ejpam-3951	309	11	v	v	NOUN
ejpam-3951	309	12	)	)	PUNCT
ejpam-3951	309	13	=	=	SYM
ejpam-3951	310	1	1−	1−	NUM
ejpam-3951	310	2	u−	u−	PROPN
ejpam-3951	310	3	v	v	NOUN
ejpam-3951	310	4	+	+	CCONJ
ejpam-3951	310	5	cθ(u	cθ(u	ADJ
ejpam-3951	310	6	,	,	PUNCT
ejpam-3951	310	7	v	v	NOUN
ejpam-3951	310	8	)	)	PUNCT
ejpam-3951	310	9	1−	1−	NUM
ejpam-3951	310	10	v	v	NOUN
ejpam-3951	310	11	.	.	PUNCT
ejpam-3951	311	1	(	(	PUNCT
ejpam-3951	311	2	35	35	NUM
ejpam-3951	311	3	)	)	PUNCT
ejpam-3951	312	1	so	so	ADV
ejpam-3951	312	2	,	,	PUNCT
ejpam-3951	312	3	we	we	PRON
ejpam-3951	312	4	obtain	obtain	VERB
ejpam-3951	312	5	the	the	DET
ejpam-3951	312	6	densities	density	NOUN
ejpam-3951	312	7	cx	cx	PROPN
ejpam-3951	312	8	/	/	SYM
ejpam-3951	312	9	y	y	PROPN
ejpam-3951	312	10	and	and	CCONJ
ejpam-3951	312	11	c̆x	c̆x	PROPN
ejpam-3951	312	12	/	/	SYM
ejpam-3951	312	13	y	y	PROPN
ejpam-3951	312	14	,	,	PUNCT
ejpam-3951	312	15	respectively	respectively	ADV
ejpam-3951	312	16	by	by	ADP
ejpam-3951	312	17	c̆x	c̆x	PROPN
ejpam-3951	312	18	/	/	SYM
ejpam-3951	312	19	y	y	PROPN
ejpam-3951	312	20	(	(	PUNCT
ejpam-3951	312	21	u	u	NOUN
ejpam-3951	312	22	,	,	PUNCT
ejpam-3951	312	23	v	v	NOUN
ejpam-3951	312	24	)	)	PUNCT
ejpam-3951	312	25	=	=	PUNCT
ejpam-3951	312	26	cθ(u	cθ(u	ADJ
ejpam-3951	312	27	,	,	PUNCT
ejpam-3951	312	28	v	v	NOUN
ejpam-3951	312	29	)	)	PUNCT
ejpam-3951	312	30	uv(1−	uv(1−	PROPN
ejpam-3951	312	31	v	v	NOUN
ejpam-3951	312	32	)	)	PUNCT
ejpam-3951	312	33	[	[	PUNCT
ejpam-3951	312	34	(	(	PUNCT
ejpam-3951	312	35	1−	1−	NUM
ejpam-3951	312	36	θ	θ	NOUN
ejpam-3951	312	37	)	)	PUNCT
ejpam-3951	312	38	[	[	PUNCT
ejpam-3951	312	39	(	(	PUNCT
ejpam-3951	312	40	−	−	PUNCT
ejpam-3951	312	41	lnu)θ	lnu)θ	PROPN
ejpam-3951	312	42	+	+	CCONJ
ejpam-3951	312	43	(	(	PUNCT
ejpam-3951	312	44	−	−	PROPN
ejpam-3951	312	45	ln	ln	ADJ
ejpam-3951	312	46	v)θ	v)θ	NOUN
ejpam-3951	312	47	]	]	X
ejpam-3951	312	48	[	[	PUNCT
ejpam-3951	312	49	1−2θ	1−2θ	NUM
ejpam-3951	312	50	θ	θ	NOUN
ejpam-3951	312	51	(	(	PUNCT
ejpam-3951	312	52	−	−	PROPN
ejpam-3951	312	53	lnu)(−	lnu)(−	PROPN
ejpam-3951	312	54	ln	ln	PROPN
ejpam-3951	312	55	v	v	NOUN
ejpam-3951	312	56	)	)	PUNCT
ejpam-3951	312	57	]	]	PUNCT
ejpam-3951	313	1	θ−1	θ−1	PROPN
ejpam-3951	313	2	+	+	PUNCT
ejpam-3951	314	1	+	+	CCONJ
ejpam-3951	314	2	[	[	PUNCT
ejpam-3951	314	3	(	(	PUNCT
ejpam-3951	314	4	−	−	PROPN
ejpam-3951	314	5	ln	ln	ADJ
ejpam-3951	314	6	v	v	NOUN
ejpam-3951	314	7	)	)	PUNCT
ejpam-3951	314	8	[	[	PUNCT
ejpam-3951	314	9	θ−1(−	θ−1(−	NOUN
ejpam-3951	314	10	lnu)θ	lnu)θ	PROPN
ejpam-3951	314	11	+	+	CCONJ
ejpam-3951	314	12	(	(	PUNCT
ejpam-3951	314	13	−	−	PROPN
ejpam-3951	314	14	ln	ln	ADJ
ejpam-3951	314	15	v)θ	v)θ	NOUN
ejpam-3951	314	16	]	]	PUNCT
ejpam-3951	315	1	1−θ	1−θ	NUM
ejpam-3951	315	2	θ	θ	X
ejpam-3951	315	3	+	+	CCONJ
ejpam-3951	316	1	v	v	ADP
ejpam-3951	316	2	1−	1−	NUM
ejpam-3951	316	3	v	v	NOUN
ejpam-3951	316	4	]	]	X
ejpam-3951	316	5	×	×	NOUN
ejpam-3951	316	6	[	[	PUNCT
ejpam-3951	316	7	(	(	PUNCT
ejpam-3951	316	8	−	−	NUM
ejpam-3951	316	9	lnu)θ−1	lnu)θ−1	ADJ
ejpam-3951	316	10	[	[	PUNCT
ejpam-3951	316	11	(	(	PUNCT
ejpam-3951	316	12	−	−	PUNCT
ejpam-3951	316	13	lnu)θ	lnu)θ	PROPN
ejpam-3951	316	14	+	+	CCONJ
ejpam-3951	316	15	(	(	PUNCT
ejpam-3951	316	16	−	−	PROPN
ejpam-3951	316	17	ln	ln	ADJ
ejpam-3951	316	18	v)θ	v)θ	NOUN
ejpam-3951	316	19	]	]	PUNCT
ejpam-3951	316	20			NOUN
ejpam-3951	316	21	.	.	PUNCT
ejpam-3951	317	1	(	(	PUNCT
ejpam-3951	317	2	36	36	NUM
ejpam-3951	317	3	)	)	PUNCT
ejpam-3951	317	4	the	the	DET
ejpam-3951	317	5	expected	expect	VERB
ejpam-3951	317	6	tail	tail	NOUN
ejpam-3951	317	7	dependence	dependence	NOUN
ejpam-3951	317	8	functions	function	NOUN
ejpam-3951	317	9	are	be	AUX
ejpam-3951	317	10	calculated	calculate	VERB
ejpam-3951	317	11	,	,	PUNCT
ejpam-3951	317	12	ζl(u	ζl(u	NOUN
ejpam-3951	317	13	)	)	PUNCT
ejpam-3951	318	1	=	=	SYM
ejpam-3951	318	2	∫	∫	PROPN
ejpam-3951	318	3	1	1	NUM
ejpam-3951	318	4	u	u	NOUN
ejpam-3951	318	5	(	(	PUNCT
ejpam-3951	318	6	−	−	PROPN
ejpam-3951	318	7	ln	ln	ADJ
ejpam-3951	318	8	t)−1	t)−1	NOUN
ejpam-3951	318	9	/	/	SYM
ejpam-3951	318	10	αcx	αcx	NOUN
ejpam-3951	318	11	/	/	SYM
ejpam-3951	318	12	y	y	PROPN
ejpam-3951	318	13	(	(	PUNCT
ejpam-3951	318	14	t	t	PROPN
ejpam-3951	318	15	,	,	PUNCT
ejpam-3951	318	16	u)dt	u)dt	PROPN
ejpam-3951	318	17	which	which	PRON
ejpam-3951	318	18	gives	give	VERB
ejpam-3951	318	19	:	:	PUNCT
ejpam-3951	318	20	ζl(u	ζl(u	NUM
ejpam-3951	318	21	)	)	PUNCT
ejpam-3951	318	22	=	=	PUNCT
ejpam-3951	318	23	[	[	PUNCT
ejpam-3951	318	24	−(−	−(−	NOUN
ejpam-3951	318	25	ln	ln	NOUN
ejpam-3951	318	26	t)−1	t)−1	NOUN
ejpam-3951	318	27	/	/	SYM
ejpam-3951	318	28	αcθ(t	αcθ(t	PROPN
ejpam-3951	318	29	,	,	PUNCT
ejpam-3951	318	30	u	u	NOUN
ejpam-3951	318	31	)	)	PUNCT
ejpam-3951	318	32	tu2	tu2	NOUN
ejpam-3951	318	33	[	[	PUNCT
ejpam-3951	318	34	(	(	PUNCT
ejpam-3951	318	35	−	−	PROPN
ejpam-3951	318	36	lnu)θ−1(−	lnu)θ−1(−	ADJ
ejpam-3951	318	37	ln	ln	ADJ
ejpam-3951	318	38	t)θ	t)θ	NOUN
ejpam-3951	318	39	+	+	CCONJ
ejpam-3951	318	40	(	(	PUNCT
ejpam-3951	318	41	−	−	PUNCT
ejpam-3951	318	42	lnu)θ	lnu)θ	X
ejpam-3951	318	43	]	]	PUNCT
ejpam-3951	318	44	1−θ	1−θ	NUM
ejpam-3951	318	45	θ	θ	X
ejpam-3951	319	1	+	+	CCONJ
ejpam-3951	319	2	1	1	NUM
ejpam-3951	319	3	]	]	SYM
ejpam-3951	319	4	1	1	NUM
ejpam-3951	319	5	u	u	NOUN
ejpam-3951	319	6	+	+	X
ejpam-3951	319	7	+	+	NUM
ejpam-3951	319	8	∫	∫	PROPN
ejpam-3951	319	9	1	1	NUM
ejpam-3951	319	10	u	u	NOUN
ejpam-3951	319	11	[	[	PUNCT
ejpam-3951	319	12	(	(	PUNCT
ejpam-3951	319	13	−	−	PROPN
ejpam-3951	319	14	ln	ln	ADJ
ejpam-3951	319	15	t	t	PROPN
ejpam-3951	319	16	)	)	PUNCT
ejpam-3951	319	17	−1−α	−1−α	NOUN
ejpam-3951	319	18	α	α	PROPN
ejpam-3951	319	19	α	α	PROPN
ejpam-3951	319	20	cθ(t	cθ(t	PROPN
ejpam-3951	319	21	,	,	PUNCT
ejpam-3951	319	22	u	u	NOUN
ejpam-3951	319	23	)	)	PUNCT
ejpam-3951	319	24	tu2	tu2	NOUN
ejpam-3951	319	25	[	[	PUNCT
ejpam-3951	319	26	(	(	PUNCT
ejpam-3951	319	27	−	−	PROPN
ejpam-3951	319	28	lnu)θ−1(−	lnu)θ−1(−	ADJ
ejpam-3951	319	29	ln	ln	ADJ
ejpam-3951	319	30	t)θ	t)θ	NOUN
ejpam-3951	319	31	+	+	CCONJ
ejpam-3951	319	32	(	(	PUNCT
ejpam-3951	319	33	−	−	PUNCT
ejpam-3951	319	34	lnu)θ	lnu)θ	X
ejpam-3951	319	35	]	]	PUNCT
ejpam-3951	319	36	1−θ	1−θ	NUM
ejpam-3951	319	37	θ	θ	X
ejpam-3951	320	1	+	+	CCONJ
ejpam-3951	320	2	1	1	X
ejpam-3951	320	3	]	]	PUNCT
ejpam-3951	320	4	dt	dt	NOUN
ejpam-3951	320	5	and	and	CCONJ
ejpam-3951	320	6	finally	finally	ADV
ejpam-3951	320	7	ζl(u	ζl(u	CCONJ
ejpam-3951	320	8	)	)	PUNCT
ejpam-3951	321	1	=	=	SYM
ejpam-3951	321	2	(	(	PUNCT
ejpam-3951	321	3	−	−	NOUN
ejpam-3951	321	4	lnu)−1	lnu)−1	NOUN
ejpam-3951	321	5	/	/	SYM
ejpam-3951	321	6	αu(21	αu(21	PROPN
ejpam-3951	321	7	/	/	SYM
ejpam-3951	321	8	θ−2)(2	θ−2)(2	NOUN
ejpam-3951	321	9	1−θ	1−θ	NUM
ejpam-3951	321	10	θ	θ	X
ejpam-3951	321	11	+	+	CCONJ
ejpam-3951	321	12	1	1	X
ejpam-3951	321	13	)	)	PUNCT
ejpam-3951	321	14	+	+	CCONJ
ejpam-3951	321	15	(	(	PUNCT
ejpam-3951	321	16	−	−	NUM
ejpam-3951	321	17	lnu)θ−1	lnu)θ−1	ADJ
ejpam-3951	321	18	αu2	αu2	PROPN
ejpam-3951	321	19	k1(u	k1(u	PROPN
ejpam-3951	321	20	)	)	PUNCT
ejpam-3951	321	21	,	,	PUNCT
ejpam-3951	321	22	(	(	PUNCT
ejpam-3951	321	23	37	37	NUM
ejpam-3951	321	24	)	)	PUNCT
ejpam-3951	321	25	where	where	SCONJ
ejpam-3951	321	26	k1(u	k1(u	X
ejpam-3951	321	27	)	)	PUNCT
ejpam-3951	321	28	=	=	SYM
ejpam-3951	321	29	∫	∫	PROPN
ejpam-3951	321	30	1	1	NUM
ejpam-3951	321	31	u	u	NOUN
ejpam-3951	321	32	[	[	PUNCT
ejpam-3951	321	33	(	(	PUNCT
ejpam-3951	321	34	−	−	PROPN
ejpam-3951	321	35	ln	ln	ADJ
ejpam-3951	321	36	t	t	PROPN
ejpam-3951	321	37	)	)	PUNCT
ejpam-3951	321	38	−1−α	−1−α	NOUN
ejpam-3951	321	39	α	α	PROPN
ejpam-3951	321	40	cθ(t	cθ(t	PROPN
ejpam-3951	321	41	,	,	PUNCT
ejpam-3951	321	42	u	u	NOUN
ejpam-3951	321	43	)	)	PUNCT
ejpam-3951	321	44	t	t	NOUN
ejpam-3951	322	1	[	[	X
ejpam-3951	322	2	[	[	PUNCT
ejpam-3951	322	3	(	(	PUNCT
ejpam-3951	322	4	−	−	PROPN
ejpam-3951	322	5	ln	ln	ADJ
ejpam-3951	322	6	t)θ	t)θ	NOUN
ejpam-3951	322	7	+	+	CCONJ
ejpam-3951	322	8	(	(	PUNCT
ejpam-3951	322	9	−	−	PUNCT
ejpam-3951	322	10	lnu)θ	lnu)θ	X
ejpam-3951	322	11	]	]	PUNCT
ejpam-3951	322	12	1−θ	1−θ	NUM
ejpam-3951	322	13	θ	θ	X
ejpam-3951	322	14	+	+	PUNCT
ejpam-3951	322	15	(	(	PUNCT
ejpam-3951	322	16	−	−	PROPN
ejpam-3951	322	17	lnu)1−θ	lnu)1−θ	NOUN
ejpam-3951	322	18	]	]	X
ejpam-3951	322	19	]	]	X
ejpam-3951	323	1	dt	dt	X
ejpam-3951	323	2	.	.	PUNCT
ejpam-3951	324	1	the	the	DET
ejpam-3951	324	2	figure	figure	NOUN
ejpam-3951	324	3	3	3	NUM
ejpam-3951	324	4	shows	show	VERB
ejpam-3951	324	5	the	the	DET
ejpam-3951	324	6	behavior	behavior	NOUN
ejpam-3951	324	7	of	of	ADP
ejpam-3951	324	8	average	average	ADJ
ejpam-3951	324	9	dependence	dependence	NOUN
ejpam-3951	324	10	function	function	NOUN
ejpam-3951	324	11	of	of	ADP
ejpam-3951	324	12	lower	low	ADJ
ejpam-3951	324	13	tail	tail	NOUN
ejpam-3951	324	14	for	for	ADP
ejpam-3951	324	15	different	different	ADJ
ejpam-3951	324	16	values	value	NOUN
ejpam-3951	324	17	of	of	ADP
ejpam-3951	324	18	the	the	DET
ejpam-3951	324	19	parameter	parameter	NOUN
ejpam-3951	324	20	(	(	PUNCT
ejpam-3951	324	21	θ	θ	X
ejpam-3951	324	22	=	=	SYM
ejpam-3951	324	23	1.5	1.5	NUM
ejpam-3951	324	24	and	and	CCONJ
ejpam-3951	324	25	θ	θ	NOUN
ejpam-3951	324	26	=	=	SYM
ejpam-3951	324	27	1.7	1.7	NUM
ejpam-3951	324	28	)	)	PUNCT
ejpam-3951	324	29	of	of	ADP
ejpam-3951	324	30	the	the	DET
ejpam-3951	324	31	copula	copula	NOUN
ejpam-3951	324	32	.	.	PUNCT
ejpam-3951	325	1	we	we	PRON
ejpam-3951	325	2	see	see	VERB
ejpam-3951	325	3	that	that	SCONJ
ejpam-3951	325	4	it	it	PRON
ejpam-3951	325	5	is	be	AUX
ejpam-3951	325	6	a	a	DET
ejpam-3951	325	7	increasing	increase	VERB
ejpam-3951	325	8	function	function	NOUN
ejpam-3951	325	9	of	of	ADP
ejpam-3951	325	10	the	the	DET
ejpam-3951	325	11	parameter	parameter	NOUN
ejpam-3951	325	12	.	.	PUNCT
ejpam-3951	326	1	ζu	ζu	NOUN
ejpam-3951	326	2	(	(	PUNCT
ejpam-3951	326	3	u	u	NOUN
ejpam-3951	326	4	)	)	PUNCT
ejpam-3951	326	5	=	=	SYM
ejpam-3951	327	1	∫	∫	PROPN
ejpam-3951	327	2	u	u	NOUN
ejpam-3951	327	3	0	0	NUM
ejpam-3951	327	4	(	(	PUNCT
ejpam-3951	327	5	−	−	PROPN
ejpam-3951	327	6	ln(1−	ln(1−	ADJ
ejpam-3951	327	7	t))−1	t))−1	NOUN
ejpam-3951	327	8	/	/	SYM
ejpam-3951	327	9	αc̆x	αc̆x	NOUN
ejpam-3951	327	10	/	/	SYM
ejpam-3951	327	11	y	y	PROPN
ejpam-3951	327	12	(	(	PUNCT
ejpam-3951	327	13	t	t	PROPN
ejpam-3951	327	14	,	,	PUNCT
ejpam-3951	327	15	u)dt	u)dt	PROPN
ejpam-3951	327	16	which	which	PRON
ejpam-3951	327	17	gives	give	VERB
ejpam-3951	327	18	d.	d.	PROPN
ejpam-3951	327	19	barro	barro	PROPN
ejpam-3951	327	20	et	et	PROPN
ejpam-3951	327	21	al	al	PROPN
ejpam-3951	327	22	.	.	PUNCT
ejpam-3951	327	23	/	/	SYM
ejpam-3951	327	24	eur	eur	PROPN
ejpam-3951	327	25	.	.	PUNCT
ejpam-3951	328	1	j.	j.	PROPN
ejpam-3951	328	2	pure	pure	PROPN
ejpam-3951	328	3	appl	appl	PROPN
ejpam-3951	328	4	.	.	PROPN
ejpam-3951	328	5	math	math	PROPN
ejpam-3951	328	6	,	,	PUNCT
ejpam-3951	328	7	14	14	NUM
ejpam-3951	328	8	(	(	PUNCT
ejpam-3951	328	9	3	3	NUM
ejpam-3951	328	10	)	)	PUNCT
ejpam-3951	328	11	(	(	PUNCT
ejpam-3951	328	12	2021	2021	NUM
ejpam-3951	328	13	)	)	PUNCT
ejpam-3951	328	14	,	,	PUNCT
ejpam-3951	328	15	1057	1057	NUM
ejpam-3951	328	16	-	-	SYM
ejpam-3951	328	17	1081	1081	NUM
ejpam-3951	328	18	1072	1072	NUM
ejpam-3951	328	19	figure	figure	NOUN
ejpam-3951	328	20	3	3	NUM
ejpam-3951	328	21	:	:	PUNCT
ejpam-3951	328	22	lower	low	ADJ
ejpam-3951	328	23	tail	tail	NOUN
ejpam-3951	328	24	average	average	ADJ
ejpam-3951	328	25	dependence	dependence	NOUN
ejpam-3951	328	26	function	function	NOUN
ejpam-3951	328	27	and	and	CCONJ
ejpam-3951	328	28	lower	low	ADJ
ejpam-3951	328	29	tail	tail	NOUN
ejpam-3951	328	30	var	var	NOUN
ejpam-3951	328	31	for	for	ADP
ejpam-3951	328	32	the	the	DET
ejpam-3951	328	33	gumbel	gumbel	NOUN
ejpam-3951	328	34	-	-	PUNCT
ejpam-3951	328	35	hougaard	hougaard	NOUN
ejpam-3951	328	36	copula	copula	NOUN
ejpam-3951	328	37	with	with	ADP
ejpam-3951	328	38	standard	standard	ADJ
ejpam-3951	328	39	frechet	frechet	ADJ
ejpam-3951	328	40	margin	margin	NOUN
ejpam-3951	328	41	with	with	ADP
ejpam-3951	328	42	parameter	parameter	PROPN
ejpam-3951	328	43	α	α	PROPN
ejpam-3951	328	44	.	.	PUNCT
ejpam-3951	329	1	ζu	ζu	PROPN
ejpam-3951	329	2	(	(	PUNCT
ejpam-3951	329	3	u	u	NOUN
ejpam-3951	329	4	)	)	PUNCT
ejpam-3951	329	5	=	=	SYM
ejpam-3951	329	6	⌊	⌊	PROPN
ejpam-3951	329	7	(	(	PUNCT
ejpam-3951	329	8	−	−	PROPN
ejpam-3951	329	9	ln(1−	ln(1−	ADJ
ejpam-3951	329	10	t))−1	t))−1	NOUN
ejpam-3951	329	11	/	/	SYM
ejpam-3951	329	12	α	α	NOUN
ejpam-3951	329	13	cθ(t	cθ(t	PROPN
ejpam-3951	329	14	,	,	PUNCT
ejpam-3951	329	15	u	u	NOUN
ejpam-3951	329	16	)	)	PUNCT
ejpam-3951	329	17	(	(	PUNCT
ejpam-3951	329	18	1−	1−	NUM
ejpam-3951	329	19	u)2	u)2	ADV
ejpam-3951	329	20	[	[	PUNCT
ejpam-3951	329	21	1−	1−	NUM
ejpam-3951	329	22	u	u	NOUN
ejpam-3951	329	23	u	u	NOUN
ejpam-3951	329	24	{	{	PUNCT
ejpam-3951	329	25	−	−	PROPN
ejpam-3951	329	26	(	(	PUNCT
ejpam-3951	329	27	−	−	PROPN
ejpam-3951	329	28	lnu)θ−1	lnu)θ−1	ADJ
ejpam-3951	329	29	[	[	PUNCT
ejpam-3951	329	30	(	(	PUNCT
ejpam-3951	329	31	−	−	PROPN
ejpam-3951	329	32	ln	ln	ADJ
ejpam-3951	329	33	t)θ	t)θ	NOUN
ejpam-3951	329	34	+	+	CCONJ
ejpam-3951	329	35	(	(	PUNCT
ejpam-3951	329	36	−	−	PUNCT
ejpam-3951	329	37	lnu)θ	lnu)θ	X
ejpam-3951	329	38	]	]	PUNCT
ejpam-3951	329	39	1−θ	1−θ	NUM
ejpam-3951	329	40	θ	θ	NOUN
ejpam-3951	329	41	}	}	PUNCT
ejpam-3951	330	1	+	+	CCONJ
ejpam-3951	330	2	1	1	NUM
ejpam-3951	330	3	]	]	PUNCT
ejpam-3951	330	4	⌋u	⌋u	NUM
ejpam-3951	330	5	0	0	PUNCT
ejpam-3951	331	1	+	+	CCONJ
ejpam-3951	331	2	+	+	NUM
ejpam-3951	331	3	∫	∫	PROPN
ejpam-3951	331	4	u	u	NOUN
ejpam-3951	331	5	0	0	NUM
ejpam-3951	331	6	[	[	PUNCT
ejpam-3951	331	7	(	(	PUNCT
ejpam-3951	331	8	−	−	PROPN
ejpam-3951	331	9	ln(1−	ln(1−	PROPN
ejpam-3951	331	10	t	t	PROPN
ejpam-3951	331	11	)	)	PUNCT
ejpam-3951	331	12	)	)	PUNCT
ejpam-3951	332	1	−1−α	−1−α	NOUN
ejpam-3951	332	2	α	α	NOUN
ejpam-3951	332	3	αt	αt	PROPN
ejpam-3951	332	4	cθ(t	cθ(t	NOUN
ejpam-3951	332	5	,	,	PUNCT
ejpam-3951	332	6	u	u	NOUN
ejpam-3951	332	7	)	)	PUNCT
ejpam-3951	332	8	(	(	PUNCT
ejpam-3951	332	9	1−	1−	NUM
ejpam-3951	332	10	u)2	u)2	ADV
ejpam-3951	332	11	[	[	PUNCT
ejpam-3951	332	12	1−	1−	NUM
ejpam-3951	332	13	u	u	NOUN
ejpam-3951	332	14	u	u	NOUN
ejpam-3951	332	15	{	{	PUNCT
ejpam-3951	332	16	−	−	PROPN
ejpam-3951	332	17	(	(	PUNCT
ejpam-3951	332	18	−	−	PROPN
ejpam-3951	332	19	lnu)θ−1	lnu)θ−1	ADJ
ejpam-3951	332	20	[	[	PUNCT
ejpam-3951	332	21	(	(	PUNCT
ejpam-3951	332	22	−	−	PROPN
ejpam-3951	332	23	ln	ln	ADJ
ejpam-3951	332	24	t)θ	t)θ	NOUN
ejpam-3951	332	25	+	+	CCONJ
ejpam-3951	332	26	(	(	PUNCT
ejpam-3951	332	27	−	−	PUNCT
ejpam-3951	332	28	lnu)θ	lnu)θ	X
ejpam-3951	332	29	]	]	PUNCT
ejpam-3951	332	30	1−θ	1−θ	NUM
ejpam-3951	332	31	θ	θ	NOUN
ejpam-3951	332	32	}	}	PUNCT
ejpam-3951	332	33	+	+	CCONJ
ejpam-3951	332	34	1	1	X
ejpam-3951	332	35	]	]	PUNCT
ejpam-3951	332	36	]	]	PUNCT
ejpam-3951	333	1	dt	dt	X
ejpam-3951	333	2	and	and	CCONJ
ejpam-3951	333	3	finally	finally	ADV
ejpam-3951	333	4	ζu	ζu	VERB
ejpam-3951	333	5	(	(	PUNCT
ejpam-3951	333	6	u	u	NOUN
ejpam-3951	333	7	)	)	PUNCT
ejpam-3951	334	1	=	=	PUNCT
ejpam-3951	335	1	[	[	X
ejpam-3951	335	2	1−	1−	NUM
ejpam-3951	335	3	u	u	NOUN
ejpam-3951	335	4	u	u	NOUN
ejpam-3951	335	5	2	2	NUM
ejpam-3951	335	6	(	(	PUNCT
ejpam-3951	335	7	1−θ	1−θ	NUM
ejpam-3951	335	8	θ	θ	NOUN
ejpam-3951	335	9	)	)	PUNCT
ejpam-3951	335	10	+	+	CCONJ
ejpam-3951	335	11	1	1	NUM
ejpam-3951	335	12	]	]	SYM
ejpam-3951	335	13	u21	u21	NOUN
ejpam-3951	335	14	/	/	SYM
ejpam-3951	335	15	θ(−	θ(−	NOUN
ejpam-3951	335	16	ln(1−	ln(1−	PROPN
ejpam-3951	335	17	u))−1	u))−1	PROPN
ejpam-3951	335	18	/	/	SYM
ejpam-3951	335	19	α	α	NOUN
ejpam-3951	335	20	(	(	PUNCT
ejpam-3951	335	21	1−	1−	NUM
ejpam-3951	335	22	u)2	u)2	NOUN
ejpam-3951	335	23	+	+	CCONJ
ejpam-3951	335	24	(	(	PUNCT
ejpam-3951	335	25	−	−	NUM
ejpam-3951	335	26	lnu)θ−1	lnu)θ−1	ADJ
ejpam-3951	335	27	αu(1−	αu(1−	PROPN
ejpam-3951	335	28	u	u	NOUN
ejpam-3951	335	29	)	)	PUNCT
ejpam-3951	335	30	k2(u	k2(u	PROPN
ejpam-3951	335	31	)	)	PUNCT
ejpam-3951	335	32	,	,	PUNCT
ejpam-3951	335	33	(	(	PUNCT
ejpam-3951	335	34	38	38	NUM
ejpam-3951	335	35	)	)	PUNCT
ejpam-3951	335	36	where	where	SCONJ
ejpam-3951	335	37	k2(u	k2(u	NOUN
ejpam-3951	335	38	)	)	PUNCT
ejpam-3951	335	39	=	=	SYM
ejpam-3951	336	1	∫	∫	PROPN
ejpam-3951	336	2	u	u	NOUN
ejpam-3951	336	3	0	0	NUM
ejpam-3951	336	4	(	(	PUNCT
ejpam-3951	336	5	−	−	PROPN
ejpam-3951	336	6	ln(1−	ln(1−	PROPN
ejpam-3951	336	7	t	t	PROPN
ejpam-3951	336	8	)	)	PUNCT
ejpam-3951	336	9	)	)	PUNCT
ejpam-3951	337	1	−1−α	−1−α	NOUN
ejpam-3951	337	2	α	α	PROPN
ejpam-3951	337	3	t	t	PROPN
ejpam-3951	337	4	cθ(t	cθ(t	PROPN
ejpam-3951	337	5	,	,	PUNCT
ejpam-3951	337	6	u	u	NOUN
ejpam-3951	337	7	)	)	PUNCT
ejpam-3951	338	1	[	[	X
ejpam-3951	338	2	{	{	PUNCT
ejpam-3951	338	3	−	−	X
ejpam-3951	338	4	[	[	PUNCT
ejpam-3951	338	5	(	(	PUNCT
ejpam-3951	338	6	−	−	PROPN
ejpam-3951	338	7	ln	ln	ADJ
ejpam-3951	338	8	t)θ+(−	t)θ+(−	INTJ
ejpam-3951	338	9	lnu)θ	lnu)θ	X
ejpam-3951	338	10	]	]	PUNCT
ejpam-3951	338	11	1−θ	1−θ	NUM
ejpam-3951	338	12	θ	θ	NOUN
ejpam-3951	338	13	}	}	PUNCT
ejpam-3951	339	1	+	+	NUM
ejpam-3951	339	2	u	u	NOUN
ejpam-3951	339	3	(	(	PUNCT
ejpam-3951	339	4	1−	1−	NUM
ejpam-3951	339	5	u)(−	u)(−	ADJ
ejpam-3951	339	6	lnu)θ−1	lnu)θ−1	NOUN
ejpam-3951	339	7	]	]	PUNCT
ejpam-3951	340	1	dt	dt	X
ejpam-3951	340	2	.	.	PUNCT
ejpam-3951	341	1	the	the	DET
ejpam-3951	341	2	figure	figure	NOUN
ejpam-3951	341	3	4	4	NUM
ejpam-3951	341	4	shows	show	VERB
ejpam-3951	341	5	the	the	DET
ejpam-3951	341	6	behavior	behavior	NOUN
ejpam-3951	341	7	of	of	ADP
ejpam-3951	341	8	average	average	ADJ
ejpam-3951	341	9	dependence	dependence	NOUN
ejpam-3951	341	10	function	function	NOUN
ejpam-3951	341	11	of	of	ADP
ejpam-3951	341	12	upper	upper	ADJ
ejpam-3951	341	13	tail	tail	NOUN
ejpam-3951	341	14	for	for	ADP
ejpam-3951	341	15	different	different	ADJ
ejpam-3951	341	16	values	value	NOUN
ejpam-3951	341	17	of	of	ADP
ejpam-3951	341	18	the	the	DET
ejpam-3951	341	19	parameter	parameter	NOUN
ejpam-3951	341	20	(	(	PUNCT
ejpam-3951	341	21	θ	θ	X
ejpam-3951	341	22	=	=	SYM
ejpam-3951	341	23	1.5	1.5	NUM
ejpam-3951	341	24	and	and	CCONJ
ejpam-3951	341	25	θ	θ	NOUN
ejpam-3951	341	26	=	=	SYM
ejpam-3951	341	27	1.7	1.7	NUM
ejpam-3951	341	28	)	)	PUNCT
ejpam-3951	341	29	of	of	ADP
ejpam-3951	341	30	the	the	DET
ejpam-3951	341	31	copula	copula	NOUN
ejpam-3951	341	32	.	.	PUNCT
ejpam-3951	342	1	we	we	PRON
ejpam-3951	342	2	see	see	VERB
ejpam-3951	342	3	that	that	SCONJ
ejpam-3951	342	4	it	it	PRON
ejpam-3951	342	5	’s	’	VERB
ejpam-3951	342	6	a	a	DET
ejpam-3951	342	7	increasing	increase	VERB
ejpam-3951	342	8	function	function	NOUN
ejpam-3951	342	9	of	of	ADP
ejpam-3951	342	10	the	the	DET
ejpam-3951	342	11	parameter	parameter	NOUN
ejpam-3951	342	12	.	.	PUNCT
ejpam-3951	343	1	5	5	NUM
ejpam-3951	343	2	.	.	X
ejpam-3951	343	3	density	density	NOUN
ejpam-3951	343	4	of	of	ADP
ejpam-3951	343	5	conditional	conditional	ADJ
ejpam-3951	343	6	extremal	extremal	ADJ
ejpam-3951	343	7	copulas	copula	NOUN
ejpam-3951	343	8	the	the	DET
ejpam-3951	343	9	resultat	resultat	NOUN
ejpam-3951	343	10	below	below	ADV
ejpam-3951	343	11	gives	give	VERB
ejpam-3951	343	12	us	we	PRON
ejpam-3951	343	13	the	the	DET
ejpam-3951	343	14	form	form	NOUN
ejpam-3951	343	15	of	of	ADP
ejpam-3951	343	16	the	the	DET
ejpam-3951	343	17	density	density	NOUN
ejpam-3951	343	18	cxi	cxi	PROPN
ejpam-3951	343	19	/	/	SYM
ejpam-3951	343	20	x(d−h	x(d−h	PROPN
ejpam-3951	343	21	)	)	PUNCT
ejpam-3951	343	22	in	in	ADP
ejpam-3951	343	23	the	the	DET
ejpam-3951	343	24	case	case	NOUN
ejpam-3951	343	25	of	of	ADP
ejpam-3951	343	26	conditional	conditional	ADJ
ejpam-3951	343	27	extremal	extremal	ADJ
ejpam-3951	343	28	copula	copula	NOUN
ejpam-3951	343	29	.	.	PUNCT
ejpam-3951	344	1	d.	d.	PROPN
ejpam-3951	344	2	barro	barro	PROPN
ejpam-3951	344	3	et	et	PROPN
ejpam-3951	344	4	al	al	PROPN
ejpam-3951	344	5	.	.	PUNCT
ejpam-3951	344	6	/	/	SYM
ejpam-3951	344	7	eur	eur	PROPN
ejpam-3951	344	8	.	.	PUNCT
ejpam-3951	345	1	j.	j.	PROPN
ejpam-3951	345	2	pure	pure	PROPN
ejpam-3951	345	3	appl	appl	PROPN
ejpam-3951	345	4	.	.	PROPN
ejpam-3951	345	5	math	math	PROPN
ejpam-3951	345	6	,	,	PUNCT
ejpam-3951	345	7	14	14	NUM
ejpam-3951	345	8	(	(	PUNCT
ejpam-3951	345	9	3	3	NUM
ejpam-3951	345	10	)	)	PUNCT
ejpam-3951	345	11	(	(	PUNCT
ejpam-3951	345	12	2021	2021	NUM
ejpam-3951	345	13	)	)	PUNCT
ejpam-3951	345	14	,	,	PUNCT
ejpam-3951	345	15	1057	1057	NUM
ejpam-3951	345	16	-	-	SYM
ejpam-3951	345	17	1081	1081	NUM
ejpam-3951	345	18	1073	1073	NUM
ejpam-3951	345	19	figure	figure	NOUN
ejpam-3951	345	20	4	4	NUM
ejpam-3951	345	21	:	:	PUNCT
ejpam-3951	345	22	lower	low	ADJ
ejpam-3951	345	23	tail	tail	NOUN
ejpam-3951	345	24	average	average	ADJ
ejpam-3951	345	25	dependence	dependence	NOUN
ejpam-3951	345	26	function	function	NOUN
ejpam-3951	345	27	and	and	CCONJ
ejpam-3951	345	28	upperr	upperr	ADJ
ejpam-3951	345	29	tail	tail	NOUN
ejpam-3951	345	30	var	var	NOUN
ejpam-3951	345	31	for	for	ADP
ejpam-3951	345	32	the	the	DET
ejpam-3951	345	33	gumbel	gumbel	NOUN
ejpam-3951	345	34	-	-	PUNCT
ejpam-3951	345	35	hougaard	hougaard	NOUN
ejpam-3951	345	36	copula	copula	NOUN
ejpam-3951	345	37	with	with	ADP
ejpam-3951	345	38	standard	standard	ADJ
ejpam-3951	345	39	frechet	frechet	ADJ
ejpam-3951	345	40	margin	margin	NOUN
ejpam-3951	345	41	with	with	ADP
ejpam-3951	345	42	parameter	parameter	PROPN
ejpam-3951	345	43	α	α	PROPN
ejpam-3951	345	44	.	.	PUNCT
ejpam-3951	346	1	proposition	proposition	NOUN
ejpam-3951	346	2	4	4	NUM
ejpam-3951	346	3	.	.	PUNCT
ejpam-3951	347	1	let	let	VERB
ejpam-3951	347	2	x	x	PUNCT
ejpam-3951	347	3	=	=	SYM
ejpam-3951	347	4	(	(	PUNCT
ejpam-3951	347	5	x1	x1	PROPN
ejpam-3951	347	6	,	,	PUNCT
ejpam-3951	347	7	...	...	PUNCT
ejpam-3951	347	8	,	,	PUNCT
ejpam-3951	347	9	xd	xd	ADP
ejpam-3951	347	10	)	)	PUNCT
ejpam-3951	347	11	a	a	DET
ejpam-3951	347	12	random	random	ADJ
ejpam-3951	347	13	vector	vector	NOUN
ejpam-3951	347	14	with	with	ADP
ejpam-3951	347	15	extremal	extremal	ADJ
ejpam-3951	347	16	copula	copula	PROPN
ejpam-3951	347	17	c.	c.	NOUN
ejpam-3951	347	18	let	let	VERB
ejpam-3951	347	19	note	note	VERB
ejpam-3951	347	20	u	u	NOUN
ejpam-3951	347	21	=	=	PUNCT
ejpam-3951	347	22	(	(	PUNCT
ejpam-3951	347	23	ui	ui	PROPN
ejpam-3951	347	24	,	,	PUNCT
ejpam-3951	347	25	uh+1	uh+1	PROPN
ejpam-3951	347	26	,	,	PUNCT
ejpam-3951	347	27	...	...	PUNCT
ejpam-3951	347	28	,	,	PUNCT
ejpam-3951	347	29	ud	ud	INTJ
ejpam-3951	347	30	)	)	PUNCT
ejpam-3951	347	31	∈	∈	PROPN
ejpam-3951	348	1	[	[	X
ejpam-3951	348	2	0	0	NUM
ejpam-3951	348	3	,	,	PUNCT
ejpam-3951	348	4	1	1	NUM
ejpam-3951	348	5	]	]	SYM
ejpam-3951	348	6	×	×	NOUN
ejpam-3951	349	1	[	[	X
ejpam-3951	349	2	0	0	NUM
ejpam-3951	349	3	,	,	PUNCT
ejpam-3951	349	4	1]d−h	1]d−h	NUM
ejpam-3951	349	5	and	and	CCONJ
ejpam-3951	349	6	l	l	NOUN
ejpam-3951	349	7	stable	stable	ADJ
ejpam-3951	349	8	tail	tail	NOUN
ejpam-3951	349	9	dependence	dependence	NOUN
ejpam-3951	349	10	function	function	NOUN
ejpam-3951	349	11	.	.	PUNCT
ejpam-3951	350	1	then	then	ADV
ejpam-3951	350	2	the	the	DET
ejpam-3951	350	3	density	density	NOUN
ejpam-3951	350	4	function	function	NOUN
ejpam-3951	350	5	cxi	cxi	PROPN
ejpam-3951	350	6	/	/	SYM
ejpam-3951	350	7	x(d−h	x(d−h	PROPN
ejpam-3951	350	8	)	)	PUNCT
ejpam-3951	350	9	of	of	ADP
ejpam-3951	350	10	the	the	DET
ejpam-3951	350	11	copula	copula	NOUN
ejpam-3951	350	12	cxi	cxi	PROPN
ejpam-3951	350	13	/	/	SYM
ejpam-3951	350	14	x(d−h	x(d−h	PROPN
ejpam-3951	350	15	)	)	PUNCT
ejpam-3951	350	16	associeted	associete	VERB
ejpam-3951	350	17	to	to	ADP
ejpam-3951	350	18	the	the	DET
ejpam-3951	350	19	conditionnal	conditionnal	ADJ
ejpam-3951	350	20	vector	vector	NOUN
ejpam-3951	350	21	{	{	PUNCT
ejpam-3951	350	22	xi	xi	PROPN
ejpam-3951	350	23	/	/	SYM
ejpam-3951	350	24	x(d−h	x(d−h	PROPN
ejpam-3951	350	25	)	)	PUNCT
ejpam-3951	350	26	}	}	PUNCT
ejpam-3951	350	27	is	be	AUX
ejpam-3951	350	28	given	give	VERB
ejpam-3951	350	29	by	by	ADP
ejpam-3951	350	30	;	;	PUNCT
ejpam-3951	350	31	cxi	cxi	PROPN
ejpam-3951	350	32	/	/	SYM
ejpam-3951	350	33	x(d−h)(u	x(d−h)(u	PROPN
ejpam-3951	350	34	)	)	PUNCT
ejpam-3951	350	35	=	=	SYM
ejpam-3951	350	36	cxi	cxi	PROPN
ejpam-3951	350	37	/	/	SYM
ejpam-3951	350	38	x(d−h)(u	x(d−h)(u	PROPN
ejpam-3951	350	39	)	)	PUNCT
ejpam-3951	350	40	ui	ui	NOUN
ejpam-3951	350	41	∏d	∏d	ADP
ejpam-3951	350	42	h+1	h+1	NUM
ejpam-3951	350	43	uj	uj	PROPN
ejpam-3951	351	1	[	[	X
ejpam-3951	351	2	∑	∑	PROPN
ejpam-3951	351	3	κ∈e	κ∈e	NOUN
ejpam-3951	351	4	∂κ	∂κ	PROPN
ejpam-3951	351	5	(	(	PUNCT
ejpam-3951	351	6	∂il(ũ	∂il(ũ	PROPN
ejpam-3951	351	7	)	)	PUNCT
ejpam-3951	351	8	)	)	PUNCT
ejpam-3951	351	9	.	.	PUNCT
ejpam-3951	352	1	(	(	PUNCT
ejpam-3951	352	2	∑	∑	INTJ
ejpam-3951	352	3	π∈π	π∈π	INTJ
ejpam-3951	352	4	(	(	PUNCT
ejpam-3951	352	5	−1)|π|	−1)|π|	PROPN
ejpam-3951	352	6	∏	∏	PROPN
ejpam-3951	352	7	b∈π	b∈π	NOUN
ejpam-3951	352	8	∂bl(ũ	∂bl(ũ	PROPN
ejpam-3951	352	9	)	)	PUNCT
ejpam-3951	352	10	)	)	PUNCT
ejpam-3951	352	11	]	]	PUNCT
ejpam-3951	352	12	(	(	PUNCT
ejpam-3951	352	13	39	39	NUM
ejpam-3951	352	14	)	)	PUNCT
ejpam-3951	352	15	where	where	SCONJ
ejpam-3951	352	16	ũ	ũ	PROPN
ejpam-3951	352	17	=	=	SYM
ejpam-3951	352	18	−	−	PROPN
ejpam-3951	352	19	log(u	log(u	PROPN
ejpam-3951	352	20	)	)	PUNCT
ejpam-3951	352	21	;	;	PUNCT
ejpam-3951	352	22	∂i	∂i	PROPN
ejpam-3951	352	23	(	(	PUNCT
ejpam-3951	352	24	.	.	PUNCT
ejpam-3951	352	25	)	)	PUNCT
ejpam-3951	352	26	indicates	indicate	VERB
ejpam-3951	352	27	the	the	DET
ejpam-3951	352	28	partial	partial	ADJ
ejpam-3951	352	29	derivative	derivative	NOUN
ejpam-3951	352	30	with	with	ADP
ejpam-3951	352	31	respect	respect	NOUN
ejpam-3951	352	32	to	to	ADP
ejpam-3951	352	33	the	the	DET
ejpam-3951	352	34	i	i	PROPN
ejpam-3951	352	35	-	-	PUNCT
ejpam-3951	352	36	th	th	VERB
ejpam-3951	352	37	variable	variable	NOUN
ejpam-3951	352	38	;	;	PUNCT
ejpam-3951	352	39	∏	∏	NUM
ejpam-3951	352	40	u	u	NOUN
ejpam-3951	352	41	=	=	PROPN
ejpam-3951	352	42	ui.uh+1	ui.uh+1	PROPN
ejpam-3951	352	43	...	...	PUNCT
ejpam-3951	352	44	ud	ud	ADP
ejpam-3951	352	45	,	,	PUNCT
ejpam-3951	352	46	e	e	PROPN
ejpam-3951	352	47	is	be	AUX
ejpam-3951	352	48	the	the	DET
ejpam-3951	352	49	set	set	NOUN
ejpam-3951	352	50	of	of	ADP
ejpam-3951	352	51	all	all	DET
ejpam-3951	352	52	parts	part	NOUN
ejpam-3951	352	53	of	of	ADP
ejpam-3951	352	54	e	e	NOUN
ejpam-3951	352	55	=	=	PRON
ejpam-3951	352	56	{	{	PUNCT
ejpam-3951	352	57	h	h	NOUN
ejpam-3951	353	1	+	+	CCONJ
ejpam-3951	353	2	1	1	NUM
ejpam-3951	353	3	,	,	PUNCT
ejpam-3951	354	1	h	h	NOUN
ejpam-3951	354	2	+	+	NOUN
ejpam-3951	354	3	2	2	NUM
ejpam-3951	354	4	,	,	PUNCT
ejpam-3951	354	5	...	...	PUNCT
ejpam-3951	354	6	,	,	PUNCT
ejpam-3951	354	7	d	d	X
ejpam-3951	354	8	}	}	PUNCT
ejpam-3951	354	9	,	,	PUNCT
ejpam-3951	354	10	π	π	PROPN
ejpam-3951	354	11	runs	run	VERB
ejpam-3951	354	12	through	through	ADP
ejpam-3951	354	13	the	the	DET
ejpam-3951	354	14	set	set	ADJ
ejpam-3951	354	15	π	π	PROPN
ejpam-3951	354	16	of	of	ADP
ejpam-3951	354	17	partitions	partition	NOUN
ejpam-3951	354	18	of	of	ADP
ejpam-3951	354	19	κc	κc	PROPN
ejpam-3951	354	20	,	,	PUNCT
ejpam-3951	354	21	the	the	DET
ejpam-3951	354	22	complement	complement	NOUN
ejpam-3951	354	23	of	of	ADP
ejpam-3951	354	24	κ	κ	PROPN
ejpam-3951	354	25	in	in	ADP
ejpam-3951	354	26	e	e	PROPN
ejpam-3951	354	27	,	,	PUNCT
ejpam-3951	354	28	b	b	X
ejpam-3951	354	29	∈	∈	PROPN
ejpam-3951	354	30	π	π	NOUN
ejpam-3951	354	31	significates	significate	VERB
ejpam-3951	354	32	that	that	SCONJ
ejpam-3951	354	33	b	b	NOUN
ejpam-3951	354	34	runs	run	VERB
ejpam-3951	354	35	through	through	ADP
ejpam-3951	354	36	the	the	DET
ejpam-3951	354	37	set	set	PROPN
ejpam-3951	354	38	π	π	PROPN
ejpam-3951	354	39	;	;	PUNCT
ejpam-3951	354	40	|π|	|π|	NOUN
ejpam-3951	354	41	designates	designate	VERB
ejpam-3951	354	42	the	the	DET
ejpam-3951	354	43	cardinal	cardinal	ADJ
ejpam-3951	354	44	number	number	NOUN
ejpam-3951	354	45	of	of	ADP
ejpam-3951	354	46	π	π	PROPN
ejpam-3951	354	47	and	and	CCONJ
ejpam-3951	354	48	l(xi	l(xi	PROPN
ejpam-3951	354	49	,	,	PUNCT
ejpam-3951	354	50	xh+1	xh+1	PROPN
ejpam-3951	354	51	,	,	PUNCT
ejpam-3951	354	52	...	...	PUNCT
ejpam-3951	354	53	,	,	PUNCT
ejpam-3951	354	54	xd	xd	ADP
ejpam-3951	354	55	)	)	PUNCT
ejpam-3951	354	56	=	=	PUNCT
ejpam-3951	355	1	l(xi	l(xi	ADJ
ejpam-3951	355	2	,	,	PUNCT
ejpam-3951	355	3	xh+1	xh+1	PROPN
ejpam-3951	355	4	,	,	PUNCT
ejpam-3951	355	5	...	...	PUNCT
ejpam-3951	355	6	,	,	PUNCT
ejpam-3951	355	7	xd)−	xd)−	PUNCT
ejpam-3951	355	8	ld−h(xh+1	ld−h(xh+1	PRON
ejpam-3951	355	9	,	,	PUNCT
ejpam-3951	355	10	...	...	PUNCT
ejpam-3951	355	11	,	,	PUNCT
ejpam-3951	355	12	xd	xd	ADP
ejpam-3951	355	13	)	)	PUNCT
ejpam-3951	355	14	.	.	PUNCT
ejpam-3951	356	1	for	for	SCONJ
ejpam-3951	356	2	prove	prove	VERB
ejpam-3951	356	3	proposition	proposition	NOUN
ejpam-3951	356	4	10	10	NUM
ejpam-3951	356	5	we	we	PRON
ejpam-3951	356	6	need	need	VERB
ejpam-3951	356	7	the	the	DET
ejpam-3951	356	8	following	follow	VERB
ejpam-3951	356	9	lemma	lemma	PROPN
ejpam-3951	356	10	which	which	PRON
ejpam-3951	356	11	establishes	establish	VERB
ejpam-3951	356	12	a	a	DET
ejpam-3951	356	13	property	property	NOUN
ejpam-3951	356	14	of	of	ADP
ejpam-3951	356	15	two	two	NUM
ejpam-3951	356	16	partially	partially	ADV
ejpam-3951	356	17	devative	devative	ADJ
ejpam-3951	356	18	functions	function	NOUN
ejpam-3951	356	19	.	.	PUNCT
ejpam-3951	357	1	lemma	lemma	PROPN
ejpam-3951	357	2	1	1	X
ejpam-3951	357	3	.	.	PUNCT
ejpam-3951	358	1	let	let	VERB
ejpam-3951	358	2	f	f	PROPN
ejpam-3951	358	3	and	and	CCONJ
ejpam-3951	358	4	g	g	PROPN
ejpam-3951	358	5	two	two	NUM
ejpam-3951	358	6	functions	function	NOUN
ejpam-3951	358	7	defined	define	VERB
ejpam-3951	358	8	on	on	ADP
ejpam-3951	358	9	rd	rd	NOUN
ejpam-3951	358	10	such	such	ADJ
ejpam-3951	358	11	that	that	SCONJ
ejpam-3951	358	12	their	their	PRON
ejpam-3951	358	13	partial	partial	ADJ
ejpam-3951	358	14	derivatives	derivative	NOUN
ejpam-3951	358	15	of	of	ADP
ejpam-3951	358	16	all	all	DET
ejpam-3951	358	17	order	order	NOUN
ejpam-3951	358	18	exist	exist	VERB
ejpam-3951	358	19	and	and	CCONJ
ejpam-3951	358	20	are	be	AUX
ejpam-3951	358	21	continuous	continuous	ADJ
ejpam-3951	358	22	.	.	PUNCT
ejpam-3951	359	1	then	then	ADV
ejpam-3951	359	2	,	,	PUNCT
ejpam-3951	359	3	for	for	ADP
ejpam-3951	359	4	all	all	PRON
ejpam-3951	359	5	x	x	X
ejpam-3951	359	6	=	=	SYM
ejpam-3951	359	7	(	(	PUNCT
ejpam-3951	359	8	x1	x1	PROPN
ejpam-3951	359	9	,	,	PUNCT
ejpam-3951	359	10	x2	x2	PROPN
ejpam-3951	359	11	,	,	PUNCT
ejpam-3951	359	12	....	....	PUNCT
ejpam-3951	359	13	,	,	PUNCT
ejpam-3951	359	14	xd	xd	INTJ
ejpam-3951	359	15	)	)	PUNCT
ejpam-3951	359	16	∈	∈	PROPN
ejpam-3951	359	17	rd	rd	NOUN
ejpam-3951	359	18	∂1,2,	∂1,2,	NOUN
ejpam-3951	359	19	...	...	PUNCT
ejpam-3951	359	20	,d(f(x).g(x	,d(f(x).g(x	PUNCT
ejpam-3951	359	21	)	)	PUNCT
ejpam-3951	359	22	)	)	PUNCT
ejpam-3951	360	1	=	=	PUNCT
ejpam-3951	360	2	∑	∑	PUNCT
ejpam-3951	360	3	κ∈e	κ∈e	NOUN
ejpam-3951	360	4	∂κf(x).∂κcg(x	∂κf(x).∂κcg(x	PROPN
ejpam-3951	360	5	)	)	PUNCT
ejpam-3951	360	6	,	,	PUNCT
ejpam-3951	360	7	(	(	PUNCT
ejpam-3951	360	8	40	40	NUM
ejpam-3951	360	9	)	)	PUNCT
ejpam-3951	360	10	where	where	SCONJ
ejpam-3951	360	11	e	e	NOUN
ejpam-3951	360	12	is	be	AUX
ejpam-3951	360	13	the	the	DET
ejpam-3951	360	14	set	set	NOUN
ejpam-3951	360	15	of	of	ADP
ejpam-3951	360	16	all	all	DET
ejpam-3951	360	17	parts	part	NOUN
ejpam-3951	360	18	of	of	ADP
ejpam-3951	360	19	e	e	NOUN
ejpam-3951	360	20	=	=	PUNCT
ejpam-3951	360	21	{	{	PUNCT
ejpam-3951	360	22	1	1	NUM
ejpam-3951	360	23	,	,	PUNCT
ejpam-3951	360	24	2	2	NUM
ejpam-3951	360	25	,	,	PUNCT
ejpam-3951	360	26	...	...	PUNCT
ejpam-3951	360	27	,	,	PUNCT
ejpam-3951	360	28	d	d	X
ejpam-3951	360	29	}	}	PUNCT
ejpam-3951	360	30	and	and	CCONJ
ejpam-3951	360	31	κc	κc	PROPN
ejpam-3951	360	32	is	be	AUX
ejpam-3951	360	33	the	the	DET
ejpam-3951	360	34	complement	complement	NOUN
ejpam-3951	360	35	of	of	ADP
ejpam-3951	360	36	κ	κ	PROPN
ejpam-3951	360	37	in	in	ADP
ejpam-3951	360	38	e.	e.	PROPN
ejpam-3951	360	39	d.	d.	PROPN
ejpam-3951	360	40	barro	barro	PROPN
ejpam-3951	360	41	et	et	PROPN
ejpam-3951	360	42	al	al	PROPN
ejpam-3951	360	43	.	.	PUNCT
ejpam-3951	360	44	/	/	SYM
ejpam-3951	360	45	eur	eur	PROPN
ejpam-3951	360	46	.	.	PUNCT
ejpam-3951	361	1	j.	j.	PROPN
ejpam-3951	361	2	pure	pure	PROPN
ejpam-3951	361	3	appl	appl	PROPN
ejpam-3951	361	4	.	.	PROPN
ejpam-3951	361	5	math	math	PROPN
ejpam-3951	361	6	,	,	PUNCT
ejpam-3951	361	7	14	14	NUM
ejpam-3951	361	8	(	(	PUNCT
ejpam-3951	361	9	3	3	NUM
ejpam-3951	361	10	)	)	PUNCT
ejpam-3951	361	11	(	(	PUNCT
ejpam-3951	361	12	2021	2021	NUM
ejpam-3951	361	13	)	)	PUNCT
ejpam-3951	361	14	,	,	PUNCT
ejpam-3951	361	15	1057	1057	NUM
ejpam-3951	361	16	-	-	SYM
ejpam-3951	361	17	1081	1081	NUM
ejpam-3951	361	18	1074	1074	NUM
ejpam-3951	361	19	the	the	DET
ejpam-3951	361	20	proof	proof	NOUN
ejpam-3951	361	21	of	of	ADP
ejpam-3951	361	22	this	this	DET
ejpam-3951	361	23	lemma	lemma	PROPN
ejpam-3951	361	24	is	be	AUX
ejpam-3951	361	25	given	give	VERB
ejpam-3951	361	26	by	by	ADP
ejpam-3951	361	27	induction	induction	NOUN
ejpam-3951	361	28	for	for	ADP
ejpam-3951	361	29	recurrence	recurrence	NOUN
ejpam-3951	361	30	relation	relation	NOUN
ejpam-3951	361	31	.	.	PUNCT
ejpam-3951	362	1	proof	proof	NOUN
ejpam-3951	362	2	.	.	PUNCT
ejpam-3951	363	1	i	i	PRON
ejpam-3951	363	2	)	)	PUNCT
ejpam-3951	363	3	at	at	ADP
ejpam-3951	363	4	first	first	ADJ
ejpam-3951	363	5	order	order	NOUN
ejpam-3951	363	6	,	,	PUNCT
ejpam-3951	363	7	we	we	PRON
ejpam-3951	363	8	have	have	VERB
ejpam-3951	363	9	:	:	PUNCT
ejpam-3951	363	10	if	if	SCONJ
ejpam-3951	363	11	e	e	X
ejpam-3951	363	12	=	=	PUNCT
ejpam-3951	363	13	{	{	PUNCT
ejpam-3951	363	14	1	1	NUM
ejpam-3951	363	15	}	}	PUNCT
ejpam-3951	363	16	then	then	ADV
ejpam-3951	363	17	e	e	X
ejpam-3951	363	18	=	=	SYM
ejpam-3951	363	19	{	{	PUNCT
ejpam-3951	363	20	∅	∅	NOUN
ejpam-3951	363	21	,	,	PUNCT
ejpam-3951	363	22	{	{	PUNCT
ejpam-3951	363	23	1	1	NUM
ejpam-3951	363	24	}	}	PUNCT
ejpam-3951	363	25	}	}	PUNCT
ejpam-3951	363	26	therefore	therefore	ADV
ejpam-3951	363	27	κ	κ	X
ejpam-3951	363	28	=	=	SYM
ejpam-3951	363	29	∅	∅	NOUN
ejpam-3951	363	30	or	or	CCONJ
ejpam-3951	363	31	κ	κ	NOUN
ejpam-3951	363	32	=	=	PUNCT
ejpam-3951	363	33	{	{	PUNCT
ejpam-3951	363	34	1	1	NUM
ejpam-3951	363	35	}	}	PUNCT
ejpam-3951	363	36	,	,	PUNCT
ejpam-3951	363	37	∂1(f(x).g(x	∂1(f(x).g(x	NOUN
ejpam-3951	363	38	)	)	PUNCT
ejpam-3951	363	39	)	)	PUNCT
ejpam-3951	364	1	=	=	PUNCT
ejpam-3951	364	2	∑	∑	PUNCT
ejpam-3951	364	3	κ=∅	κ=∅	NOUN
ejpam-3951	364	4	,	,	PUNCT
ejpam-3951	364	5	{	{	PUNCT
ejpam-3951	364	6	1	1	NUM
ejpam-3951	364	7	}	}	PUNCT
ejpam-3951	364	8	∂κf(x).∂κcg(x	∂κf(x).∂κcg(x	PROPN
ejpam-3951	364	9	)	)	PUNCT
ejpam-3951	364	10	=	=	SYM
ejpam-3951	364	11	∂∅f(x).∂{1}g(x	∂∅f(x).∂{1}g(x	NOUN
ejpam-3951	364	12	)	)	PUNCT
ejpam-3951	364	13	+	+	CCONJ
ejpam-3951	364	14	∂{1}f(x).∂∅g(x	∂{1}f(x).∂∅g(x	X
ejpam-3951	364	15	)	)	PUNCT
ejpam-3951	364	16	which	which	PRON
ejpam-3951	364	17	gives	give	VERB
ejpam-3951	364	18	∂1(f(x).g(x	∂1(f(x).g(x	NOUN
ejpam-3951	364	19	)	)	PUNCT
ejpam-3951	364	20	)	)	PUNCT
ejpam-3951	365	1	=	=	SYM
ejpam-3951	365	2	f(x)∂1g(x	f(x)∂1g(x	X
ejpam-3951	365	3	)	)	PUNCT
ejpam-3951	365	4	+	+	NUM
ejpam-3951	365	5	g(x)∂1f(x	g(x)∂1f(x	NOUN
ejpam-3951	365	6	)	)	PUNCT
ejpam-3951	365	7	.	.	PUNCT
ejpam-3951	366	1	so	so	ADV
ejpam-3951	366	2	,	,	PUNCT
ejpam-3951	366	3	the	the	DET
ejpam-3951	366	4	formula	formula	NOUN
ejpam-3951	366	5	is	be	AUX
ejpam-3951	366	6	true	true	ADJ
ejpam-3951	366	7	at	at	ADP
ejpam-3951	366	8	first	first	ADJ
ejpam-3951	366	9	order	order	NOUN
ejpam-3951	366	10	.	.	PUNCT
ejpam-3951	367	1	ii	ii	X
ejpam-3951	367	2	)	)	PUNCT
ejpam-3951	367	3	suppose	suppose	VERB
ejpam-3951	367	4	that	that	SCONJ
ejpam-3951	367	5	the	the	DET
ejpam-3951	367	6	formula	formula	NOUN
ejpam-3951	367	7	is	be	AUX
ejpam-3951	367	8	true	true	ADJ
ejpam-3951	367	9	at	at	ADP
ejpam-3951	367	10	order	order	NOUN
ejpam-3951	367	11	for	for	ADP
ejpam-3951	367	12	p	p	PRON
ejpam-3951	367	13	≥	≥	NUM
ejpam-3951	367	14	1	1	NUM
ejpam-3951	367	15	,	,	PUNCT
ejpam-3951	367	16	that	that	PRON
ejpam-3951	367	17	is	be	AUX
ejpam-3951	367	18	∂1,2,	∂1,2,	NOUN
ejpam-3951	367	19	...	...	PUNCT
ejpam-3951	367	20	,p(f(x).g(x	,p(f(x).g(x	PUNCT
ejpam-3951	367	21	)	)	PUNCT
ejpam-3951	367	22	)	)	PUNCT
ejpam-3951	368	1	=	=	PUNCT
ejpam-3951	368	2	∑	∑	PUNCT
ejpam-3951	368	3	κ∈e	κ∈e	NOUN
ejpam-3951	368	4	∂κf(x).∂κcg(x	∂κf(x).∂κcg(x	PROPN
ejpam-3951	368	5	)	)	PUNCT
ejpam-3951	368	6	,	,	PUNCT
ejpam-3951	368	7	(	(	PUNCT
ejpam-3951	368	8	41	41	NUM
ejpam-3951	368	9	)	)	PUNCT
ejpam-3951	368	10	where	where	SCONJ
ejpam-3951	368	11	e	e	NOUN
ejpam-3951	368	12	is	be	AUX
ejpam-3951	368	13	the	the	DET
ejpam-3951	368	14	set	set	NOUN
ejpam-3951	368	15	of	of	ADP
ejpam-3951	368	16	all	all	DET
ejpam-3951	368	17	parts	part	NOUN
ejpam-3951	368	18	of	of	ADP
ejpam-3951	368	19	e	e	NOUN
ejpam-3951	368	20	=	=	PUNCT
ejpam-3951	368	21	{	{	PUNCT
ejpam-3951	368	22	1	1	NUM
ejpam-3951	368	23	,	,	PUNCT
ejpam-3951	368	24	2	2	NUM
ejpam-3951	368	25	,	,	PUNCT
ejpam-3951	368	26	...	...	PUNCT
ejpam-3951	368	27	,	,	PUNCT
ejpam-3951	368	28	p	p	X
ejpam-3951	368	29	}	}	PUNCT
ejpam-3951	368	30	and	and	CCONJ
ejpam-3951	368	31	κc	κc	PROPN
ejpam-3951	368	32	is	be	AUX
ejpam-3951	368	33	the	the	DET
ejpam-3951	368	34	complement	complement	NOUN
ejpam-3951	368	35	of	of	ADP
ejpam-3951	368	36	κ	κ	PROPN
ejpam-3951	368	37	in	in	ADP
ejpam-3951	368	38	e.	e.	PROPN
ejpam-3951	368	39	iii	iii	PROPN
ejpam-3951	368	40	)	)	PUNCT
ejpam-3951	368	41	let	let	VERB
ejpam-3951	368	42	’s	’s	PRON
ejpam-3951	368	43	prove	prove	VERB
ejpam-3951	368	44	that	that	SCONJ
ejpam-3951	368	45	the	the	DET
ejpam-3951	368	46	formula	formula	NOUN
ejpam-3951	368	47	is	be	AUX
ejpam-3951	368	48	true	true	ADJ
ejpam-3951	368	49	at	at	SCONJ
ejpam-3951	368	50	order	order	NOUN
ejpam-3951	368	51	p+	p+	VERB
ejpam-3951	368	52	1	1	NUM
ejpam-3951	368	53	,	,	PUNCT
ejpam-3951	368	54	∂1,2,	∂1,2,	PROPN
ejpam-3951	368	55	...	...	PUNCT
ejpam-3951	368	56	,p	,p	PUNCT
ejpam-3951	368	57	,	,	PUNCT
ejpam-3951	368	58	p+1(f(x).g(x	p+1(f(x).g(x	ADV
ejpam-3951	368	59	)	)	PUNCT
ejpam-3951	368	60	)	)	PUNCT
ejpam-3951	369	1	=	=	PUNCT
ejpam-3951	369	2	∂p+1(∂1,2,	∂p+1(∂1,2,	ADJ
ejpam-3951	369	3	...	...	PUNCT
ejpam-3951	369	4	,p(f(x).g(x	,p(f(x).g(x	PUNCT
ejpam-3951	369	5	)	)	PUNCT
ejpam-3951	369	6	)	)	PUNCT
ejpam-3951	369	7	)	)	PUNCT
ejpam-3951	370	1	=	=	PUNCT
ejpam-3951	370	2	∂p+1	∂p+1	PROPN
ejpam-3951	370	3	(	(	PUNCT
ejpam-3951	370	4	∑	∑	PROPN
ejpam-3951	370	5	κ∈e	κ∈e	NOUN
ejpam-3951	370	6	∂κf(x).∂κcg(x	∂κf(x).∂κcg(x	PROPN
ejpam-3951	370	7	)	)	PUNCT
ejpam-3951	370	8	)	)	PUNCT
ejpam-3951	371	1	=	=	PUNCT
ejpam-3951	371	2	∑	∑	PUNCT
ejpam-3951	371	3	κ∈e	κ∈e	NOUN
ejpam-3951	371	4	∂p+1	∂p+1	PROPN
ejpam-3951	371	5	(	(	PUNCT
ejpam-3951	371	6	∂κf(x).∂κcg(x	∂κf(x).∂κcg(x	PROPN
ejpam-3951	371	7	)	)	PUNCT
ejpam-3951	371	8	)	)	PUNCT
ejpam-3951	372	1	=	=	PUNCT
ejpam-3951	373	1	∑	∑	PUNCT
ejpam-3951	373	2	κ∈e	κ∈e	NOUN
ejpam-3951	373	3	[	[	PUNCT
ejpam-3951	373	4	∑	∑	PUNCT
ejpam-3951	373	5	κ′=∅	κ′=∅	X
ejpam-3951	373	6	,	,	PUNCT
ejpam-3951	373	7	{	{	PUNCT
ejpam-3951	373	8	p+1	p+1	NOUN
ejpam-3951	373	9	}	}	PUNCT
ejpam-3951	373	10	∂κ′	∂κ′	NOUN
ejpam-3951	373	11	[	[	PUNCT
ejpam-3951	373	12	∂κf(x	∂κf(x	NOUN
ejpam-3951	373	13	)	)	PUNCT
ejpam-3951	373	14	]	]	PUNCT
ejpam-3951	374	1	.∂κ′c	.∂κ′c	X
ejpam-3951	375	1	[	[	PUNCT
ejpam-3951	375	2	∂κcg(x	∂κcg(x	NOUN
ejpam-3951	375	3	)	)	PUNCT
ejpam-3951	375	4	]	]	PUNCT
ejpam-3951	375	5	]	]	PUNCT
ejpam-3951	376	1	=	=	PUNCT
ejpam-3951	376	2	∑	∑	PUNCT
ejpam-3951	376	3	κ∈e	κ∈e	NOUN
ejpam-3951	376	4	∑	∑	PUNCT
ejpam-3951	376	5	κ′=∅	κ′=∅	PUNCT
ejpam-3951	376	6	,	,	PUNCT
ejpam-3951	376	7	{	{	PUNCT
ejpam-3951	376	8	p+1	p+1	NOUN
ejpam-3951	376	9	}	}	PUNCT
ejpam-3951	376	10	∂κ′∪κf(x).∂κ′c∪κcg(x	∂κ′∪κf(x).∂κ′c∪κcg(x	NUM
ejpam-3951	376	11	)	)	PUNCT
ejpam-3951	376	12	.	.	PUNCT
ejpam-3951	377	1	(	(	PUNCT
ejpam-3951	377	2	42	42	NUM
ejpam-3951	377	3	)	)	PUNCT
ejpam-3951	378	1	so	so	ADV
ejpam-3951	378	2	,	,	PUNCT
ejpam-3951	378	3	finally	finally	ADV
ejpam-3951	378	4	,	,	PUNCT
ejpam-3951	378	5	we	we	PRON
ejpam-3951	378	6	get	get	VERB
ejpam-3951	378	7	∂1,2,	∂1,2,	NOUN
ejpam-3951	378	8	...	...	PUNCT
ejpam-3951	378	9	,p	,p	NUM
ejpam-3951	378	10	,	,	PUNCT
ejpam-3951	378	11	p+1(f(x).g(x	p+1(f(x).g(x	ADV
ejpam-3951	378	12	)	)	PUNCT
ejpam-3951	378	13	)	)	PUNCT
ejpam-3951	379	1	=	=	PUNCT
ejpam-3951	379	2	∑	∑	PUNCT
ejpam-3951	379	3	κ1∈e1	κ1∈e1	PROPN
ejpam-3951	379	4	∂κ1f(x).∂κc1g(x	∂κ1f(x).∂κc1g(x	NOUN
ejpam-3951	379	5	)	)	PUNCT
ejpam-3951	379	6	.	.	PUNCT
ejpam-3951	380	1	(	(	PUNCT
ejpam-3951	380	2	43	43	NUM
ejpam-3951	380	3	)	)	PUNCT
ejpam-3951	380	4	in	in	ADP
ejpam-3951	380	5	(	(	PUNCT
ejpam-3951	380	6	42	42	NUM
ejpam-3951	380	7	)	)	PUNCT
ejpam-3951	380	8	,	,	PUNCT
ejpam-3951	380	9	note	note	VERB
ejpam-3951	380	10	that	that	SCONJ
ejpam-3951	380	11	for	for	ADP
ejpam-3951	380	12	κ′	κ′	NOUN
ejpam-3951	380	13	=	=	SYM
ejpam-3951	380	14	∅	∅	NOUN
ejpam-3951	380	15	,	,	PUNCT
ejpam-3951	380	16	{	{	PUNCT
ejpam-3951	380	17	p+	p+	NOUN
ejpam-3951	380	18	1	1	NUM
ejpam-3951	380	19	}	}	PUNCT
ejpam-3951	380	20	(	(	PUNCT
ejpam-3951	380	21	κ′c	κ′c	NOUN
ejpam-3951	380	22	=	=	SYM
ejpam-3951	380	23	{	{	PUNCT
ejpam-3951	380	24	p+	p+	NOUN
ejpam-3951	380	25	1	1	NUM
ejpam-3951	380	26	}	}	PUNCT
ejpam-3951	380	27	,	,	PUNCT
ejpam-3951	380	28	∅	∅	NOUN
ejpam-3951	380	29	)	)	PUNCT
ejpam-3951	380	30	and	and	CCONJ
ejpam-3951	381	1	∀κ	∀κ	NUM
ejpam-3951	381	2	∈	∈	X
ejpam-3951	381	3	e	e	NOUN
ejpam-3951	381	4	the	the	DET
ejpam-3951	381	5	set	set	NOUN
ejpam-3951	381	6	of	of	ADP
ejpam-3951	381	7	parts	part	NOUN
ejpam-3951	381	8	of	of	ADP
ejpam-3951	381	9	e	e	NOUN
ejpam-3951	381	10	,	,	PUNCT
ejpam-3951	381	11	then	then	ADV
ejpam-3951	381	12	:	:	PUNCT
ejpam-3951	381	13	(	(	PUNCT
ejpam-3951	381	14	κ′	κ′	NOUN
ejpam-3951	381	15	∪	∪	ADP
ejpam-3951	381	16	κ	κ	NOUN
ejpam-3951	381	17	)	)	PUNCT
ejpam-3951	381	18	∩	∩	NOUN
ejpam-3951	381	19	(	(	PUNCT
ejpam-3951	381	20	κ′c	κ′c	ADJ
ejpam-3951	381	21	∪	∪	PROPN
ejpam-3951	381	22	κc	κc	NOUN
ejpam-3951	381	23	)	)	PUNCT
ejpam-3951	381	24	=	=	NOUN
ejpam-3951	381	25	∅	∅	NOUN
ejpam-3951	381	26	(	(	PUNCT
ejpam-3951	381	27	κ′	κ′	NOUN
ejpam-3951	381	28	∪	∪	ADP
ejpam-3951	381	29	κ	κ	NOUN
ejpam-3951	381	30	)	)	PUNCT
ejpam-3951	381	31	∪	∪	NOUN
ejpam-3951	381	32	(	(	PUNCT
ejpam-3951	381	33	κ′c	κ′c	ADJ
ejpam-3951	381	34	∪	∪	PROPN
ejpam-3951	381	35	κc	κc	NOUN
ejpam-3951	381	36	)	)	PUNCT
ejpam-3951	381	37	=	=	PUNCT
ejpam-3951	381	38	{	{	PUNCT
ejpam-3951	381	39	1	1	NUM
ejpam-3951	381	40	,	,	PUNCT
ejpam-3951	381	41	2	2	NUM
ejpam-3951	381	42	,	,	PUNCT
ejpam-3951	381	43	...	...	PUNCT
ejpam-3951	381	44	,	,	PUNCT
ejpam-3951	381	45	p	p	X
ejpam-3951	381	46	,	,	PUNCT
ejpam-3951	381	47	p+	p+	NOUN
ejpam-3951	381	48	1	1	NUM
ejpam-3951	381	49	}	}	PUNCT
ejpam-3951	381	50	,	,	PUNCT
ejpam-3951	381	51	(	(	PUNCT
ejpam-3951	381	52	44	44	NUM
ejpam-3951	381	53	)	)	PUNCT
ejpam-3951	381	54	and	and	CCONJ
ejpam-3951	381	55	also	also	ADV
ejpam-3951	381	56	κ′∪κ	κ′∪κ	VERB
ejpam-3951	381	57	runs	run	NOUN
ejpam-3951	381	58	through	through	ADP
ejpam-3951	381	59	the	the	DET
ejpam-3951	381	60	set	set	NOUN
ejpam-3951	381	61	e1	e1	NOUN
ejpam-3951	381	62	of	of	ADP
ejpam-3951	381	63	all	all	DET
ejpam-3951	381	64	parts	part	NOUN
ejpam-3951	381	65	of	of	ADP
ejpam-3951	381	66	e1	e1	NOUN
ejpam-3951	381	67	=	=	PUNCT
ejpam-3951	381	68	{	{	PUNCT
ejpam-3951	381	69	1	1	NUM
ejpam-3951	381	70	,	,	PUNCT
ejpam-3951	381	71	2	2	NUM
ejpam-3951	381	72	,	,	PUNCT
ejpam-3951	381	73	...	...	PUNCT
ejpam-3951	381	74	,	,	PUNCT
ejpam-3951	381	75	p	p	X
ejpam-3951	381	76	,	,	PUNCT
ejpam-3951	381	77	p+1	p+1	NOUN
ejpam-3951	381	78	}	}	PUNCT
ejpam-3951	381	79	.	.	PUNCT
ejpam-3951	382	1	therefore	therefore	ADV
ejpam-3951	382	2	(	(	PUNCT
ejpam-3951	382	3	40	40	NUM
ejpam-3951	382	4	)	)	PUNCT
ejpam-3951	382	5	holds	hold	VERB
ejpam-3951	382	6	d.	d.	PROPN
ejpam-3951	382	7	barro	barro	PROPN
ejpam-3951	382	8	et	et	PROPN
ejpam-3951	382	9	al	al	PROPN
ejpam-3951	382	10	.	.	PUNCT
ejpam-3951	382	11	/	/	SYM
ejpam-3951	382	12	eur	eur	PROPN
ejpam-3951	382	13	.	.	PUNCT
ejpam-3951	383	1	j.	j.	PROPN
ejpam-3951	383	2	pure	pure	PROPN
ejpam-3951	383	3	appl	appl	PROPN
ejpam-3951	383	4	.	.	PROPN
ejpam-3951	383	5	math	math	PROPN
ejpam-3951	383	6	,	,	PUNCT
ejpam-3951	383	7	14	14	NUM
ejpam-3951	383	8	(	(	PUNCT
ejpam-3951	383	9	3	3	NUM
ejpam-3951	383	10	)	)	PUNCT
ejpam-3951	383	11	(	(	PUNCT
ejpam-3951	383	12	2021	2021	NUM
ejpam-3951	383	13	)	)	PUNCT
ejpam-3951	383	14	,	,	PUNCT
ejpam-3951	383	15	1057	1057	NUM
ejpam-3951	383	16	-	-	SYM
ejpam-3951	383	17	1081	1081	NUM
ejpam-3951	383	18	1075	1075	NUM
ejpam-3951	383	19	now	now	ADV
ejpam-3951	383	20	,	,	PUNCT
ejpam-3951	383	21	we	we	PRON
ejpam-3951	383	22	are	be	AUX
ejpam-3951	383	23	able	able	ADJ
ejpam-3951	383	24	to	to	PART
ejpam-3951	383	25	proove	proove	VERB
ejpam-3951	383	26	proposition	proposition	NOUN
ejpam-3951	383	27	4	4	NUM
ejpam-3951	383	28	proof	proof	NOUN
ejpam-3951	383	29	.	.	PUNCT
ejpam-3951	384	1	(	(	PUNCT
ejpam-3951	384	2	of	of	ADP
ejpam-3951	384	3	proposition	proposition	NOUN
ejpam-3951	384	4	4	4	NUM
ejpam-3951	384	5	)	)	PUNCT
ejpam-3951	384	6	since	since	SCONJ
ejpam-3951	384	7	the	the	DET
ejpam-3951	384	8	copula	copula	NOUN
ejpam-3951	384	9	c	c	PROPN
ejpam-3951	384	10	is	be	AUX
ejpam-3951	384	11	extreme	extreme	ADJ
ejpam-3951	384	12	,	,	PUNCT
ejpam-3951	384	13	then	then	ADV
ejpam-3951	384	14	it	it	PRON
ejpam-3951	384	15	have	have	VERB
ejpam-3951	384	16	the	the	DET
ejpam-3951	384	17	representation(see	representation(see	PROPN
ejpam-3951	384	18	falk[12	falk[12	NOUN
ejpam-3951	384	19	]	]	PUNCT
ejpam-3951	384	20	):	):	PUNCT
ejpam-3951	384	21	c(u1	c(u1	NOUN
ejpam-3951	384	22	,	,	PUNCT
ejpam-3951	384	23	u2	u2	PROPN
ejpam-3951	384	24	,	,	PUNCT
ejpam-3951	384	25	...	...	PUNCT
ejpam-3951	384	26	,	,	PUNCT
ejpam-3951	384	27	ud	ud	INTJ
ejpam-3951	384	28	)	)	PUNCT
ejpam-3951	384	29	=	=	NOUN
ejpam-3951	384	30	exp	exp	NOUN
ejpam-3951	384	31	{	{	PUNCT
ejpam-3951	384	32	−	−	PROPN
ejpam-3951	384	33	l(−	l(−	ADJ
ejpam-3951	384	34	log	log	NOUN
ejpam-3951	384	35	u1,−	u1,−	X
ejpam-3951	384	36	log	log	NOUN
ejpam-3951	384	37	u2	u2	PROPN
ejpam-3951	384	38	,	,	PUNCT
ejpam-3951	384	39	...	...	PUNCT
ejpam-3951	384	40	,	,	PUNCT
ejpam-3951	384	41	−	−	PROPN
ejpam-3951	384	42	log	log	NOUN
ejpam-3951	384	43	ud	ud	INTJ
ejpam-3951	384	44	)	)	PUNCT
ejpam-3951	384	45	}	}	PUNCT
ejpam-3951	384	46	,	,	PUNCT
ejpam-3951	384	47	(	(	PUNCT
ejpam-3951	384	48	45	45	NUM
ejpam-3951	384	49	)	)	PUNCT
ejpam-3951	384	50	where	where	SCONJ
ejpam-3951	384	51	the	the	DET
ejpam-3951	384	52	function	function	NOUN
ejpam-3951	384	53	l	l	NOUN
ejpam-3951	384	54	(	(	PUNCT
ejpam-3951	384	55	.	.	PUNCT
ejpam-3951	384	56	)	)	PUNCT
ejpam-3951	384	57	is	be	AUX
ejpam-3951	384	58	the	the	DET
ejpam-3951	384	59	stable	stable	ADJ
ejpam-3951	384	60	tail	tail	NOUN
ejpam-3951	384	61	dependence	dependence	NOUN
ejpam-3951	384	62	function	function	NOUN
ejpam-3951	384	63	associeted	associete	VERB
ejpam-3951	384	64	to	to	ADP
ejpam-3951	384	65	c.	c.	PROPN
ejpam-3951	384	66	then	then	ADV
ejpam-3951	384	67	,	,	PUNCT
ejpam-3951	384	68	for	for	ADP
ejpam-3951	384	69	u	u	NOUN
ejpam-3951	384	70	=	=	SYM
ejpam-3951	384	71	(	(	PUNCT
ejpam-3951	384	72	ui	ui	PROPN
ejpam-3951	384	73	,	,	PUNCT
ejpam-3951	384	74	uh+1	uh+1	PROPN
ejpam-3951	384	75	,	,	PUNCT
ejpam-3951	384	76	...	...	PUNCT
ejpam-3951	384	77	,	,	PUNCT
ejpam-3951	384	78	ud	ud	INTJ
ejpam-3951	384	79	)	)	PUNCT
ejpam-3951	384	80	∈	∈	PROPN
ejpam-3951	385	1	[	[	X
ejpam-3951	385	2	0	0	NUM
ejpam-3951	385	3	,	,	PUNCT
ejpam-3951	385	4	1]×	1]×	NUM
ejpam-3951	385	5	[	[	X
ejpam-3951	385	6	0	0	NUM
ejpam-3951	385	7	,	,	PUNCT
ejpam-3951	385	8	1]d−h	1]d−h	NUM
ejpam-3951	385	9	,	,	PUNCT
ejpam-3951	385	10	cxi	cxi	PROPN
ejpam-3951	385	11	/	/	SYM
ejpam-3951	385	12	x(d−h)(ui	x(d−h)(ui	PROPN
ejpam-3951	385	13	,	,	PUNCT
ejpam-3951	385	14	uh+1	uh+1	PROPN
ejpam-3951	385	15	,	,	PUNCT
ejpam-3951	385	16	...	...	PUNCT
ejpam-3951	385	17	,	,	PUNCT
ejpam-3951	385	18	ud	ud	INTJ
ejpam-3951	385	19	)	)	PUNCT
ejpam-3951	385	20	=	=	NOUN
ejpam-3951	385	21	exp	exp	NOUN
ejpam-3951	385	22	{	{	PUNCT
ejpam-3951	385	23	−l(−	−l(−	NOUN
ejpam-3951	385	24	log	log	NOUN
ejpam-3951	386	1	ui,−	ui,−	INTJ
ejpam-3951	386	2	log	log	NOUN
ejpam-3951	386	3	uh+1	uh+1	VERB
ejpam-3951	386	4	,	,	PUNCT
ejpam-3951	386	5	...	...	PUNCT
ejpam-3951	386	6	,	,	PUNCT
ejpam-3951	386	7	−	−	PROPN
ejpam-3951	386	8	log	log	VERB
ejpam-3951	386	9	ud	ud	NOUN
ejpam-3951	386	10	)	)	PUNCT
ejpam-3951	386	11	}	}	PUNCT
ejpam-3951	386	12	exp	exp	NOUN
ejpam-3951	386	13	{	{	PUNCT
ejpam-3951	386	14	−ld−h(−	−ld−h(−	PRON
ejpam-3951	386	15	log	log	NOUN
ejpam-3951	386	16	uh+1	uh+1	ADJ
ejpam-3951	386	17	,	,	PUNCT
ejpam-3951	386	18	...	...	PUNCT
ejpam-3951	386	19	,	,	PUNCT
ejpam-3951	386	20	−	−	PROPN
ejpam-3951	386	21	log	log	VERB
ejpam-3951	386	22	ud	ud	NOUN
ejpam-3951	386	23	)	)	PUNCT
ejpam-3951	386	24	}	}	PUNCT
ejpam-3951	386	25	.	.	PUNCT
ejpam-3951	387	1	then	then	ADV
ejpam-3951	387	2	the	the	DET
ejpam-3951	387	3	density	density	NOUN
ejpam-3951	387	4	is	be	AUX
ejpam-3951	387	5	given	give	VERB
ejpam-3951	387	6	by	by	ADP
ejpam-3951	387	7	,	,	PUNCT
ejpam-3951	387	8	cxi	cxi	PROPN
ejpam-3951	387	9	/	/	SYM
ejpam-3951	387	10	xd−h(ui	xd−h(ui	NUM
ejpam-3951	387	11	,	,	PUNCT
ejpam-3951	387	12	uh+1	uh+1	VERB
ejpam-3951	387	13	,	,	PUNCT
ejpam-3951	387	14	...	...	PUNCT
ejpam-3951	387	15	,	,	PUNCT
ejpam-3951	387	16	ud	ud	INTJ
ejpam-3951	387	17	)	)	PUNCT
ejpam-3951	387	18	=	=	SYM
ejpam-3951	387	19	∂h+1,	∂h+1,	PROPN
ejpam-3951	387	20	...	...	PUNCT
ejpam-3951	387	21	,d	,d	PUNCT
ejpam-3951	387	22	∂i	∂i	PROPN
ejpam-3951	387	23	exp	exp	PROPN
ejpam-3951	387	24	{	{	PUNCT
ejpam-3951	387	25	−	−	PROPN
ejpam-3951	387	26	l(−	l(−	ADJ
ejpam-3951	387	27	log	log	NOUN
ejpam-3951	388	1	ui,−	ui,−	PROPN
ejpam-3951	388	2	log	log	NOUN
ejpam-3951	388	3	uh+1	uh+1	VERB
ejpam-3951	388	4	,	,	PUNCT
ejpam-3951	388	5	...	...	PUNCT
ejpam-3951	388	6	,	,	PUNCT
ejpam-3951	388	7	−	−	PROPN
ejpam-3951	388	8	log	log	NOUN
ejpam-3951	388	9	ud	ud	NOUN
ejpam-3951	388	10	)	)	PUNCT
ejpam-3951	388	11	}	}	PUNCT
ejpam-3951	388	12	exp	exp	NOUN
ejpam-3951	388	13	{	{	PUNCT
ejpam-3951	388	14	−	−	NOUN
ejpam-3951	388	15	ld−h(−	ld−h(−	X
ejpam-3951	388	16	log	log	NOUN
ejpam-3951	388	17	uh+1	uh+1	ADV
ejpam-3951	388	18	,	,	PUNCT
ejpam-3951	388	19	...	...	PUNCT
ejpam-3951	388	20	,	,	PUNCT
ejpam-3951	388	21	−	−	PROPN
ejpam-3951	388	22	log	log	NOUN
ejpam-3951	388	23	ud	ud	INTJ
ejpam-3951	388	24	)	)	PUNCT
ejpam-3951	388	25	}	}	PUNCT
ejpam-3951	388	26	.	.	PUNCT
ejpam-3951	389	1	that	that	PRON
ejpam-3951	389	2	gives	give	VERB
ejpam-3951	389	3	cxi	cxi	NOUN
ejpam-3951	389	4	/	/	SYM
ejpam-3951	389	5	xd−h(ui	xd−h(ui	NUM
ejpam-3951	389	6	,	,	PUNCT
ejpam-3951	389	7	uh+1	uh+1	VERB
ejpam-3951	389	8	,	,	PUNCT
ejpam-3951	389	9	...	...	PUNCT
ejpam-3951	389	10	,	,	PUNCT
ejpam-3951	389	11	ud	ud	INTJ
ejpam-3951	389	12	)	)	PUNCT
ejpam-3951	389	13	=	=	SYM
ejpam-3951	389	14	1	1	NUM
ejpam-3951	389	15	ui	ui	PROPN
ejpam-3951	389	16	∂h+1,	∂h+1,	PROPN
ejpam-3951	389	17	...	...	PUNCT
ejpam-3951	389	18	,d	,d	PUNCT
ejpam-3951	390	1	[	[	PUNCT
ejpam-3951	390	2	∂ui	∂ui	PROPN
ejpam-3951	390	3	l(−	l(−	NOUN
ejpam-3951	390	4	log	log	NOUN
ejpam-3951	390	5	u	u	NOUN
ejpam-3951	390	6	)	)	PUNCT
ejpam-3951	390	7	.	.	PUNCT
ejpam-3951	391	1	exp{−l(−	exp{−l(−	PROPN
ejpam-3951	391	2	log	log	PROPN
ejpam-3951	391	3	u	u	NOUN
ejpam-3951	391	4	)	)	PUNCT
ejpam-3951	391	5	}	}	PUNCT
ejpam-3951	391	6	]	]	PUNCT
ejpam-3951	391	7	(	(	PUNCT
ejpam-3951	391	8	46	46	NUM
ejpam-3951	391	9	)	)	PUNCT
ejpam-3951	391	10	that	that	PRON
ejpam-3951	391	11	is	be	AUX
ejpam-3951	391	12	:	:	PUNCT
ejpam-3951	391	13	cxi	cxi	VERB
ejpam-3951	391	14	/	/	SYM
ejpam-3951	391	15	xd−h(ui	xd−h(ui	NUM
ejpam-3951	391	16	,	,	PUNCT
ejpam-3951	391	17	uh+1	uh+1	VERB
ejpam-3951	391	18	,	,	PUNCT
ejpam-3951	391	19	...	...	PUNCT
ejpam-3951	391	20	,	,	PUNCT
ejpam-3951	391	21	ud	ud	INTJ
ejpam-3951	391	22	)	)	PUNCT
ejpam-3951	391	23	=	=	SYM
ejpam-3951	392	1	1	1	NUM
ejpam-3951	392	2	ui	ui	PROPN
ejpam-3951	392	3	∑	∑	VERB
ejpam-3951	392	4	κ∈e	κ∈e	NOUN
ejpam-3951	392	5	∂κ	∂κ	PROPN
ejpam-3951	392	6	(	(	PUNCT
ejpam-3951	392	7	∂ui	∂ui	PROPN
ejpam-3951	392	8	l(−	l(−	NOUN
ejpam-3951	392	9	log	log	NOUN
ejpam-3951	392	10	u	u	NOUN
ejpam-3951	392	11	)	)	PUNCT
ejpam-3951	392	12	)	)	PUNCT
ejpam-3951	393	1	.∂κc	.∂κc	ADP
ejpam-3951	393	2	exp{−l(−	exp{−l(−	PROPN
ejpam-3951	393	3	log	log	PROPN
ejpam-3951	393	4	u	u	NOUN
ejpam-3951	393	5	)	)	PUNCT
ejpam-3951	393	6	}	}	PUNCT
ejpam-3951	393	7	.	.	PUNCT
ejpam-3951	394	1	(	(	PUNCT
ejpam-3951	394	2	47	47	NUM
ejpam-3951	394	3	)	)	PUNCT
ejpam-3951	394	4	with	with	ADP
ejpam-3951	394	5	l(xi	l(xi	PROPN
ejpam-3951	394	6	,	,	PUNCT
ejpam-3951	394	7	xh+1	xh+1	PROPN
ejpam-3951	394	8	,	,	PUNCT
ejpam-3951	394	9	...	...	PUNCT
ejpam-3951	394	10	,	,	PUNCT
ejpam-3951	394	11	xd	xd	ADP
ejpam-3951	394	12	)	)	PUNCT
ejpam-3951	394	13	=	=	PUNCT
ejpam-3951	395	1	l(xi	l(xi	ADJ
ejpam-3951	395	2	,	,	PUNCT
ejpam-3951	395	3	xh+1	xh+1	PROPN
ejpam-3951	395	4	,	,	PUNCT
ejpam-3951	395	5	...	...	PUNCT
ejpam-3951	395	6	,	,	PUNCT
ejpam-3951	395	7	xd)−	xd)−	PUNCT
ejpam-3951	395	8	ld−h(xh+1	ld−h(xh+1	PRON
ejpam-3951	395	9	,	,	PUNCT
ejpam-3951	395	10	...	...	PUNCT
ejpam-3951	395	11	,	,	PUNCT
ejpam-3951	395	12	xd	xd	ADP
ejpam-3951	395	13	)	)	PUNCT
ejpam-3951	395	14	;	;	PUNCT
ejpam-3951	395	15	e	e	X
ejpam-3951	395	16	being	be	AUX
ejpam-3951	395	17	the	the	DET
ejpam-3951	395	18	set	set	NOUN
ejpam-3951	395	19	of	of	ADP
ejpam-3951	395	20	all	all	DET
ejpam-3951	395	21	parts	part	NOUN
ejpam-3951	395	22	of	of	ADP
ejpam-3951	395	23	e	e	NOUN
ejpam-3951	395	24	=	=	PUNCT
ejpam-3951	395	25	{	{	PUNCT
ejpam-3951	395	26	h+	h+	PROPN
ejpam-3951	395	27	1	1	NUM
ejpam-3951	395	28	,	,	PUNCT
ejpam-3951	395	29	...	...	PUNCT
ejpam-3951	395	30	,	,	PUNCT
ejpam-3951	395	31	d	d	X
ejpam-3951	395	32	}	}	PUNCT
ejpam-3951	395	33	and	and	CCONJ
ejpam-3951	395	34	κc	κc	ADP
ejpam-3951	395	35	the	the	DET
ejpam-3951	395	36	complement	complement	NOUN
ejpam-3951	395	37	of	of	ADP
ejpam-3951	395	38	κ	κ	PROPN
ejpam-3951	395	39	in	in	ADP
ejpam-3951	395	40	e.	e.	PROPN
ejpam-3951	395	41	using	use	VERB
ejpam-3951	395	42	the	the	DET
ejpam-3951	395	43	formula	formula	NOUN
ejpam-3951	395	44	of	of	ADP
ejpam-3951	395	45	fàa	fàa	PROPN
ejpam-3951	395	46	di	di	PROPN
ejpam-3951	395	47	bruno	bruno	PROPN
ejpam-3951	395	48	,	,	PUNCT
ejpam-3951	395	49	it	it	PRON
ejpam-3951	395	50	follows	follow	VERB
ejpam-3951	395	51	for	for	ADP
ejpam-3951	395	52	all	all	PRON
ejpam-3951	395	53	x	x	X
ejpam-3951	395	54	=	=	SYM
ejpam-3951	395	55	(	(	PUNCT
ejpam-3951	395	56	x1	x1	PROPN
ejpam-3951	395	57	,	,	PUNCT
ejpam-3951	395	58	...	...	PUNCT
ejpam-3951	395	59	,	,	PUNCT
ejpam-3951	395	60	xd	xd	INTJ
ejpam-3951	395	61	)	)	PUNCT
ejpam-3951	395	62	∈	∈	PROPN
ejpam-3951	395	63	rd	rd	PROPN
ejpam-3951	395	64	;	;	PUNCT
ejpam-3951	395	65	∂d	∂d	PROPN
ejpam-3951	395	66	∂x1	∂x1	NOUN
ejpam-3951	395	67	...	...	PUNCT
ejpam-3951	395	68	∂xd	∂xd	ADJ
ejpam-3951	395	69	f(g(x	f(g(x	NOUN
ejpam-3951	395	70	)	)	PUNCT
ejpam-3951	395	71	)	)	PUNCT
ejpam-3951	396	1	=	=	PUNCT
ejpam-3951	396	2	∑	∑	PUNCT
ejpam-3951	396	3	π∈π	π∈π	PROPN
ejpam-3951	396	4	f	f	PROPN
ejpam-3951	396	5	(	(	PUNCT
ejpam-3951	396	6	|π|)(g(x	|π|)(g(x	ADV
ejpam-3951	396	7	)	)	PUNCT
ejpam-3951	396	8	)	)	PUNCT
ejpam-3951	396	9	.	.	PUNCT
ejpam-3951	397	1	∏	∏	NUM
ejpam-3951	397	2	b∈π	b∈π	NOUN
ejpam-3951	397	3	∂(|b|)g(x)∏	∂(|b|)g(x)∏	PROPN
ejpam-3951	397	4	j∈b	j∈b	PROPN
ejpam-3951	397	5	∂xj	∂xj	NOUN
ejpam-3951	397	6	;	;	PUNCT
ejpam-3951	397	7	(	(	PUNCT
ejpam-3951	397	8	48	48	NUM
ejpam-3951	397	9	)	)	PUNCT
ejpam-3951	397	10	where	where	SCONJ
ejpam-3951	397	11	π	π	PROPN
ejpam-3951	397	12	runs	run	VERB
ejpam-3951	397	13	through	through	ADP
ejpam-3951	397	14	π	π	PROPN
ejpam-3951	397	15	the	the	DET
ejpam-3951	397	16	set	set	NOUN
ejpam-3951	397	17	of	of	ADP
ejpam-3951	397	18	partitions	partition	NOUN
ejpam-3951	397	19	of	of	ADP
ejpam-3951	397	20	{	{	PUNCT
ejpam-3951	397	21	1	1	NUM
ejpam-3951	397	22	,	,	PUNCT
ejpam-3951	397	23	2	2	NUM
ejpam-3951	397	24	,	,	PUNCT
ejpam-3951	397	25	...	...	PUNCT
ejpam-3951	397	26	,	,	PUNCT
ejpam-3951	397	27	d	d	NOUN
ejpam-3951	397	28	}	}	PUNCT
ejpam-3951	397	29	and	and	CCONJ
ejpam-3951	397	30	b	b	X
ejpam-3951	397	31	∈	∈	NOUN
ejpam-3951	397	32	π	π	NOUN
ejpam-3951	397	33	significates	significate	VERB
ejpam-3951	397	34	that	that	SCONJ
ejpam-3951	397	35	it	it	PRON
ejpam-3951	397	36	runs	run	VERB
ejpam-3951	397	37	through	through	ADP
ejpam-3951	397	38	the	the	DET
ejpam-3951	397	39	elements	element	NOUN
ejpam-3951	397	40	of	of	ADP
ejpam-3951	397	41	π	π	PROPN
ejpam-3951	397	42	.	.	PUNCT
ejpam-3951	398	1	furthermore	furthermore	ADV
ejpam-3951	398	2	,	,	PUNCT
ejpam-3951	398	3	by	by	ADP
ejpam-3951	398	4	taking	take	VERB
ejpam-3951	398	5	x	x	PUNCT
ejpam-3951	398	6	=	=	PUNCT
ejpam-3951	398	7	−	−	PROPN
ejpam-3951	398	8	log(u	log(u	PROPN
ejpam-3951	398	9	)	)	PUNCT
ejpam-3951	398	10	,	,	PUNCT
ejpam-3951	398	11	one	one	PRON
ejpam-3951	398	12	can	can	AUX
ejpam-3951	398	13	remark	remark	VERB
ejpam-3951	398	14	that	that	SCONJ
ejpam-3951	398	15	the	the	DET
ejpam-3951	398	16	expression	expression	NOUN
ejpam-3951	398	17	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	398	18	)	)	PUNCT
ejpam-3951	398	19	}	}	PUNCT
ejpam-3951	398	20	is	be	AUX
ejpam-3951	398	21	of	of	ADP
ejpam-3951	398	22	the	the	DET
ejpam-3951	398	23	form	form	NOUN
ejpam-3951	398	24	f(g(x	f(g(x	NOUN
ejpam-3951	398	25	)	)	PUNCT
ejpam-3951	398	26	)	)	PUNCT
ejpam-3951	398	27	.	.	PUNCT
ejpam-3951	399	1	then	then	ADV
ejpam-3951	399	2	the	the	DET
ejpam-3951	399	3	expression	expression	NOUN
ejpam-3951	399	4	∂κc	∂κc	PROPN
ejpam-3951	399	5	exp{−l(−	exp{−l(−	NOUN
ejpam-3951	399	6	log	log	NOUN
ejpam-3951	399	7	u	u	NOUN
ejpam-3951	399	8	)	)	PUNCT
ejpam-3951	399	9	}	}	PUNCT
ejpam-3951	399	10	=	=	SYM
ejpam-3951	399	11	∑	∑	PUNCT
ejpam-3951	399	12	π∈π	π∈π	INTJ
ejpam-3951	399	13	(	(	PUNCT
ejpam-3951	399	14	−1)(|π|	−1)(|π|	NOUN
ejpam-3951	399	15	)	)	PUNCT
ejpam-3951	399	16	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	399	17	)	)	PUNCT
ejpam-3951	399	18	}	}	PUNCT
ejpam-3951	399	19	.	.	PUNCT
ejpam-3951	400	1	∏	∏	NUM
ejpam-3951	400	2	b∈π	b∈π	NOUN
ejpam-3951	400	3	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	400	4	j∈b	j∈b	PROPN
ejpam-3951	400	5	∂uj	∂uj	PROPN
ejpam-3951	400	6	;	;	PUNCT
ejpam-3951	400	7	where	where	SCONJ
ejpam-3951	400	8	π	π	PROPN
ejpam-3951	400	9	is	be	AUX
ejpam-3951	400	10	the	the	DET
ejpam-3951	400	11	set	set	NOUN
ejpam-3951	400	12	of	of	ADP
ejpam-3951	400	13	partitions	partition	NOUN
ejpam-3951	400	14	of	of	ADP
ejpam-3951	400	15	κc	κc	PROPN
ejpam-3951	400	16	.	.	PUNCT
ejpam-3951	400	17	by	by	ADP
ejpam-3951	400	18	noticing	notice	VERB
ejpam-3951	400	19	that	that	PRON
ejpam-3951	400	20	t	t	PROPN
ejpam-3951	400	21	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	400	22	j∈b	j∈b	PROPN
ejpam-3951	400	23	∂uj	∂uj	PROPN
ejpam-3951	400	24	=	=	SYM
ejpam-3951	400	25	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	400	26	j∈b	j∈b	NOUN
ejpam-3951	400	27	∂xj	∂xj	NOUN
ejpam-3951	400	28	.	.	PUNCT
ejpam-3951	401	1	∏	∏	PROPN
ejpam-3951	401	2	j∈b	j∈b	PROPN
ejpam-3951	401	3	∂xj	∂xj	PROPN
ejpam-3951	401	4	∂uj	∂uj	PROPN
ejpam-3951	401	5	,	,	PUNCT
ejpam-3951	401	6	d.	d.	PROPN
ejpam-3951	401	7	barro	barro	PROPN
ejpam-3951	401	8	et	et	PROPN
ejpam-3951	401	9	al	al	PROPN
ejpam-3951	401	10	.	.	PUNCT
ejpam-3951	401	11	/	/	SYM
ejpam-3951	401	12	eur	eur	PROPN
ejpam-3951	401	13	.	.	PUNCT
ejpam-3951	402	1	j.	j.	PROPN
ejpam-3951	402	2	pure	pure	PROPN
ejpam-3951	402	3	appl	appl	PROPN
ejpam-3951	402	4	.	.	PROPN
ejpam-3951	402	5	math	math	PROPN
ejpam-3951	402	6	,	,	PUNCT
ejpam-3951	402	7	14	14	NUM
ejpam-3951	402	8	(	(	PUNCT
ejpam-3951	402	9	3	3	NUM
ejpam-3951	402	10	)	)	PUNCT
ejpam-3951	402	11	(	(	PUNCT
ejpam-3951	402	12	2021	2021	NUM
ejpam-3951	402	13	)	)	PUNCT
ejpam-3951	402	14	,	,	PUNCT
ejpam-3951	402	15	1057	1057	NUM
ejpam-3951	402	16	-	-	SYM
ejpam-3951	402	17	1081	1081	NUM
ejpam-3951	402	18	1076	1076	NUM
ejpam-3951	402	19	on	on	ADP
ejpam-3951	402	20	obtains	obtain	NOUN
ejpam-3951	402	21	,	,	PUNCT
ejpam-3951	402	22	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	402	23	)	)	PUNCT
ejpam-3951	402	24	}	}	PUNCT
ejpam-3951	402	25	∑	∑	ADV
ejpam-3951	402	26	π∈π	π∈π	X
ejpam-3951	402	27	(	(	PUNCT
ejpam-3951	402	28	−1)|π|	−1)|π|	PROPN
ejpam-3951	402	29	∏	∏	PROPN
ejpam-3951	402	30	b∈π	b∈π	NOUN
ejpam-3951	402	31	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	402	32	j∈b	j∈b	NOUN
ejpam-3951	402	33	∂xj	∂xj	NOUN
ejpam-3951	402	34	.	.	PUNCT
ejpam-3951	403	1	∏	∏	PROPN
ejpam-3951	403	2	j∈b	j∈b	PROPN
ejpam-3951	403	3	∂xj	∂xj	PROPN
ejpam-3951	403	4	∂uj	∂uj	PROPN
ejpam-3951	403	5	=	=	SYM
ejpam-3951	403	6	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	403	7	)	)	PUNCT
ejpam-3951	403	8	}	}	PUNCT
ejpam-3951	403	9	∑	∑	ADV
ejpam-3951	403	10	π∈π	π∈π	INTJ
ejpam-3951	403	11	(	(	PUNCT
ejpam-3951	403	12	−1)(|π|	−1)(|π|	NOUN
ejpam-3951	403	13	)	)	PUNCT
ejpam-3951	403	14	∏	∏	NUM
ejpam-3951	403	15	b∈π	b∈π	NOUN
ejpam-3951	403	16	∂(|b|)l(x)∏	∂(|b|)l(x)∏	ADV
ejpam-3951	403	17	j∈b	j∈b	ADJ
ejpam-3951	403	18	∂xj	∂xj	NOUN
ejpam-3951	403	19	.	.	PUNCT
ejpam-3951	404	1	∏	∏	PROPN
ejpam-3951	404	2	j∈b	j∈b	PROPN
ejpam-3951	404	3	−1	−1	NOUN
ejpam-3951	404	4	uj	uj	PROPN
ejpam-3951	404	5			PROPN
ejpam-3951	404	6	.	.	PUNCT
ejpam-3951	405	1	which	which	PRON
ejpam-3951	405	2	gives	give	VERB
ejpam-3951	405	3	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	405	4	)	)	PUNCT
ejpam-3951	405	5	}	}	PUNCT
ejpam-3951	405	6	∑	∑	ADV
ejpam-3951	405	7	π∈π	π∈π	X
ejpam-3951	405	8	(	(	PUNCT
ejpam-3951	405	9	−1)|π|	−1)|π|	PROPN
ejpam-3951	405	10	∏	∏	PROPN
ejpam-3951	405	11	b∈π	b∈π	NOUN
ejpam-3951	405	12	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	405	13	j∈b	j∈b	NOUN
ejpam-3951	405	14	∂xj	∂xj	NOUN
ejpam-3951	405	15	.	.	PUNCT
ejpam-3951	406	1	∏	∏	PROPN
ejpam-3951	406	2	j∈b	j∈b	PROPN
ejpam-3951	406	3	∂xj	∂xj	PROPN
ejpam-3951	406	4	∂uj	∂uj	PROPN
ejpam-3951	406	5	=	=	SYM
ejpam-3951	406	6	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	406	7	)	)	PUNCT
ejpam-3951	406	8	}	}	PUNCT
ejpam-3951	406	9	∑	∑	ADV
ejpam-3951	406	10	π∈π	π∈π	X
ejpam-3951	406	11	(	(	PUNCT
ejpam-3951	406	12	−1)|π|	−1)|π|	NOUN
ejpam-3951	406	13	∏	∏	NOUN
ejpam-3951	406	14	b∈π	b∈π	VERB
ejpam-3951	406	15	∏	∏	PROPN
ejpam-3951	406	16	j∈b	j∈b	PROPN
ejpam-3951	406	17	−1	−1	NOUN
ejpam-3951	406	18	uj	uj	PROPN
ejpam-3951	406	19			PROPN
ejpam-3951	406	20	∏	∏	PROPN
ejpam-3951	406	21	b∈π	b∈π	NOUN
ejpam-3951	406	22	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	406	23	j∈b	j∈b	NOUN
ejpam-3951	406	24	∂xj	∂xj	NOUN
ejpam-3951	406	25	.	.	PUNCT
ejpam-3951	407	1	and	and	CCONJ
ejpam-3951	407	2	finally	finally	ADV
ejpam-3951	407	3	,	,	PUNCT
ejpam-3951	407	4	exp{−l(x	exp{−l(x	PROPN
ejpam-3951	407	5	)	)	PUNCT
ejpam-3951	407	6	}	}	PUNCT
ejpam-3951	407	7	∑	∑	ADV
ejpam-3951	407	8	π∈π	π∈π	X
ejpam-3951	407	9	(	(	PUNCT
ejpam-3951	407	10	−1)|π|	−1)|π|	PROPN
ejpam-3951	407	11	∏	∏	PROPN
ejpam-3951	407	12	b∈π	b∈π	NOUN
ejpam-3951	407	13	∂(|b|)l(x)∏	∂(|b|)l(x)∏	PROPN
ejpam-3951	407	14	j∈b	j∈b	NOUN
ejpam-3951	407	15	∂xj	∂xj	NOUN
ejpam-3951	407	16	.	.	PUNCT
ejpam-3951	408	1	∏	∏	PROPN
ejpam-3951	408	2	j∈b	j∈b	PROPN
ejpam-3951	408	3	∂xj	∂xj	PROPN
ejpam-3951	408	4	∂uj	∂uj	PROPN
ejpam-3951	408	5	=	=	PUNCT
ejpam-3951	408	6	−	−	PROPN
ejpam-3951	408	7	exp{−l(x)}∏	exp{−l(x)}∏	PUNCT
ejpam-3951	408	8	j∈κc	j∈κc	PROPN
ejpam-3951	408	9	uj	uj	PROPN
ejpam-3951	408	10	∑	∑	PROPN
ejpam-3951	408	11	π∈π	π∈π	PROPN
ejpam-3951	408	12	(	(	PUNCT
ejpam-3951	408	13	−1)|π|	−1)|π|	PROPN
ejpam-3951	408	14	∏	∏	PROPN
ejpam-3951	408	15	b∈π	b∈π	NOUN
ejpam-3951	408	16	∂bl(x	∂bl(x	PROPN
ejpam-3951	408	17	)	)	PUNCT
ejpam-3951	408	18	.	.	PUNCT
ejpam-3951	409	1	(	(	PUNCT
ejpam-3951	409	2	49	49	NUM
ejpam-3951	409	3	)	)	PUNCT
ejpam-3951	409	4	in	in	ADP
ejpam-3951	409	5	other	other	ADJ
ejpam-3951	409	6	hand	hand	NOUN
ejpam-3951	409	7	,	,	PUNCT
ejpam-3951	409	8	we	we	PRON
ejpam-3951	409	9	have	have	VERB
ejpam-3951	409	10	∂κ	∂κ	PROPN
ejpam-3951	409	11	(	(	PUNCT
ejpam-3951	409	12	∂il(−	∂il(−	CCONJ
ejpam-3951	409	13	log	log	PROPN
ejpam-3951	409	14	u	u	NOUN
ejpam-3951	409	15	)	)	PUNCT
ejpam-3951	409	16	)	)	PUNCT
ejpam-3951	410	1	=	=	SYM
ejpam-3951	410	2	∂(|κ|)(∂il(x))∏	∂(|κ|)(∂il(x))∏	X
ejpam-3951	410	3	j∈κ	j∈κ	VERB
ejpam-3951	410	4	∂xj	∂xj	NOUN
ejpam-3951	410	5	.	.	PUNCT
ejpam-3951	411	1	−1∏	−1∏	PROPN
ejpam-3951	411	2	j∈κ	j∈κ	NOUN
ejpam-3951	411	3	uj	uj	NOUN
ejpam-3951	411	4	that	that	PRON
ejpam-3951	411	5	is	be	AUX
ejpam-3951	411	6	:	:	PUNCT
ejpam-3951	412	1	∂κ	∂κ	X
ejpam-3951	412	2	(	(	PUNCT
ejpam-3951	412	3	∂il(−	∂il(−	CCONJ
ejpam-3951	412	4	log	log	PROPN
ejpam-3951	412	5	u	u	NOUN
ejpam-3951	412	6	)	)	PUNCT
ejpam-3951	412	7	)	)	PUNCT
ejpam-3951	413	1	=	=	PUNCT
ejpam-3951	414	1	−1∏	−1∏	PROPN
ejpam-3951	414	2	j∈κ	j∈κ	X
ejpam-3951	414	3	uj	uj	PROPN
ejpam-3951	414	4	.∂κ(∂il(x	.∂κ(∂il(x	PUNCT
ejpam-3951	414	5	)	)	PUNCT
ejpam-3951	414	6	)	)	PUNCT
ejpam-3951	415	1	(	(	PUNCT
ejpam-3951	415	2	50	50	NUM
ejpam-3951	415	3	)	)	PUNCT
ejpam-3951	415	4	by	by	ADP
ejpam-3951	415	5	using	use	VERB
ejpam-3951	415	6	the	the	DET
ejpam-3951	415	7	relations	relation	NOUN
ejpam-3951	415	8	(	(	PUNCT
ejpam-3951	415	9	49	49	NUM
ejpam-3951	415	10	)	)	PUNCT
ejpam-3951	415	11	and	and	CCONJ
ejpam-3951	415	12	(	(	PUNCT
ejpam-3951	415	13	50	50	NUM
ejpam-3951	415	14	)	)	PUNCT
ejpam-3951	415	15	,	,	PUNCT
ejpam-3951	415	16	we	we	PRON
ejpam-3951	415	17	obtain	obtain	VERB
ejpam-3951	415	18	(	(	PUNCT
ejpam-3951	415	19	39	39	NUM
ejpam-3951	415	20	)	)	PUNCT
ejpam-3951	415	21	as	as	SCONJ
ejpam-3951	415	22	disserted	disserte	VERB
ejpam-3951	415	23	.	.	PUNCT
ejpam-3951	416	1	6	6	NUM
ejpam-3951	416	2	.	.	X
ejpam-3951	416	3	a	a	DET
ejpam-3951	416	4	relationship	relationship	NOUN
ejpam-3951	416	5	between	between	ADP
ejpam-3951	416	6	var	var	NOUN
ejpam-3951	416	7	and	and	CCONJ
ejpam-3951	416	8	tvar	tvar	NOUN
ejpam-3951	416	9	it	it	PRON
ejpam-3951	416	10	is	be	AUX
ejpam-3951	416	11	convenient	convenient	ADJ
ejpam-3951	416	12	in	in	ADP
ejpam-3951	416	13	risk	risk	NOUN
ejpam-3951	416	14	analysis	analysis	NOUN
ejpam-3951	416	15	to	to	PART
ejpam-3951	416	16	compare	compare	VERB
ejpam-3951	416	17	each	each	DET
ejpam-3951	416	18	risk	risk	NOUN
ejpam-3951	416	19	measure	measure	NOUN
ejpam-3951	416	20	to	to	PART
ejpam-3951	416	21	var	var	NOUN
ejpam-3951	416	22	(	(	PUNCT
ejpam-3951	416	23	which	which	PRON
ejpam-3951	416	24	is	be	AUX
ejpam-3951	416	25	a	a	DET
ejpam-3951	416	26	reference	reference	NOUN
ejpam-3951	416	27	)	)	PUNCT
ejpam-3951	416	28	or	or	CCONJ
ejpam-3951	416	29	to	to	ADP
ejpam-3951	416	30	its	its	PRON
ejpam-3951	416	31	derivative	derivative	ADJ
ejpam-3951	416	32	measures	measure	NOUN
ejpam-3951	416	33	,	,	PUNCT
ejpam-3951	416	34	the	the	DET
ejpam-3951	416	35	tail	tail	NOUN
ejpam-3951	416	36	value	value	NOUN
ejpam-3951	416	37	-	-	PUNCT
ejpam-3951	416	38	at	at	ADP
ejpam-3951	416	39	-	-	PUNCT
ejpam-3951	416	40	risk	risk	NOUN
ejpam-3951	416	41	of	of	ADP
ejpam-3951	416	42	risk	risk	NOUN
ejpam-3951	416	43	x	x	PUNCT
ejpam-3951	416	44	at	at	ADP
ejpam-3951	416	45	the	the	DET
ejpam-3951	416	46	α	α	PROPN
ejpam-3951	416	47	∈	∈	PROPN
ejpam-3951	417	1	[	[	X
ejpam-3951	417	2	0	0	NUM
ejpam-3951	417	3	,	,	PUNCT
ejpam-3951	417	4	1	1	NUM
ejpam-3951	417	5	]	]	SYM
ejpam-3951	417	6	level	level	NOUN
ejpam-3951	417	7	defined	define	VERB
ejpam-3951	417	8	by	by	ADP
ejpam-3951	417	9	,	,	PUNCT
ejpam-3951	417	10	tv	tv	NOUN
ejpam-3951	417	11	ar(α	ar(α	X
ejpam-3951	417	12	)	)	PUNCT
ejpam-3951	417	13	=	=	SYM
ejpam-3951	418	1	1	1	NUM
ejpam-3951	418	2	1−	1−	NUM
ejpam-3951	418	3	α	α	NUM
ejpam-3951	418	4	∫	∫	PROPN
ejpam-3951	418	5	1	1	NUM
ejpam-3951	418	6	α	α	NOUN
ejpam-3951	418	7	v	v	NOUN
ejpam-3951	418	8	arx(t)dt	arx(t)dt	NOUN
ejpam-3951	418	9	.	.	PUNCT
ejpam-3951	419	1	(	(	PUNCT
ejpam-3951	419	2	51	51	NUM
ejpam-3951	419	3	)	)	PUNCT
ejpam-3951	419	4	for	for	ADP
ejpam-3951	419	5	detailed	detailed	ADJ
ejpam-3951	419	6	statements	statement	NOUN
ejpam-3951	419	7	,	,	PUNCT
ejpam-3951	419	8	see	see	VERB
ejpam-3951	419	9	[	[	X
ejpam-3951	419	10	16	16	NUM
ejpam-3951	419	11	]	]	PUNCT
ejpam-3951	419	12	.	.	PUNCT
ejpam-3951	420	1	corollary	corollary	ADJ
ejpam-3951	420	2	3	3	X
ejpam-3951	420	3	.	.	PUNCT
ejpam-3951	421	1	let	let	VERB
ejpam-3951	421	2	x	x	PUNCT
ejpam-3951	421	3	=	=	SYM
ejpam-3951	421	4	(	(	PUNCT
ejpam-3951	421	5	x1	x1	PROPN
ejpam-3951	421	6	,	,	PUNCT
ejpam-3951	421	7	...	...	PUNCT
ejpam-3951	421	8	,	,	PUNCT
ejpam-3951	421	9	xd	xd	INTJ
ejpam-3951	421	10	)	)	PUNCT
ejpam-3951	421	11	be	be	AUX
ejpam-3951	421	12	a	a	DET
ejpam-3951	421	13	random	random	ADJ
ejpam-3951	421	14	vector	vector	NOUN
ejpam-3951	421	15	with	with	ADP
ejpam-3951	421	16	extremal	extremal	ADJ
ejpam-3951	421	17	copula	copula	NOUN
ejpam-3951	421	18	c	c	PROPN
ejpam-3951	421	19	.	.	PUNCT
ejpam-3951	422	1	the	the	DET
ejpam-3951	422	2	marginal	marginal	NOUN
ejpam-3951	422	3	of	of	ADP
ejpam-3951	422	4	the	the	DET
ejpam-3951	422	5	expected	expect	VERB
ejpam-3951	422	6	tail	tail	NOUN
ejpam-3951	422	7	dependence	dependence	NOUN
ejpam-3951	422	8	is	be	AUX
ejpam-3951	422	9	defined	define	VERB
ejpam-3951	422	10	,	,	PUNCT
ejpam-3951	422	11	for	for	ADP
ejpam-3951	422	12	all	all	DET
ejpam-3951	422	13	u	u	PRON
ejpam-3951	422	14	∈	∈	PROPN
ejpam-3951	423	1	[	[	X
ejpam-3951	423	2	0	0	NUM
ejpam-3951	423	3	,	,	PUNCT
ejpam-3951	423	4	1	1	NUM
ejpam-3951	423	5	]	]	PUNCT
ejpam-3951	423	6	,	,	PUNCT
ejpam-3951	423	7	by	by	ADP
ejpam-3951	423	8	ζlh	ζlh	ADV
ejpam-3951	423	9	,	,	PUNCT
ejpam-3951	423	10	i	i	PRON
ejpam-3951	423	11	=	=	PROPN
ejpam-3951	423	12	lim	lim	PROPN
ejpam-3951	423	13	u→0	u→0	PROPN
ejpam-3951	423	14	+	+	PROPN
ejpam-3951	423	15	1	1	NUM
ejpam-3951	423	16	(	(	PUNCT
ejpam-3951	423	17	u)d−h	u)d−h	NOUN
ejpam-3951	423	18	∫	∫	PROPN
ejpam-3951	423	19	1	1	NUM
ejpam-3951	423	20	u	u	NOUN
ejpam-3951	423	21	v	v	ADP
ejpam-3951	423	22	arxi(α	arxi(α	PROPN
ejpam-3951	423	23	)	)	PUNCT
ejpam-3951	423	24	α	α	PROPN
ejpam-3951	423	25	cxi	cxi	PROPN
ejpam-3951	423	26	/	/	SYM
ejpam-3951	423	27	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	423	28	,	,	PUNCT
ejpam-3951	423	29	u	u	NOUN
ejpam-3951	423	30	,	,	PUNCT
ejpam-3951	423	31	...	...	PUNCT
ejpam-3951	423	32	,	,	PUNCT
ejpam-3951	423	33	u)hi(α	u)hi(α	PROPN
ejpam-3951	423	34	,	,	PUNCT
ejpam-3951	423	35	u)dα	u)dα	PROPN
ejpam-3951	423	36	,	,	PUNCT
ejpam-3951	423	37	where	where	SCONJ
ejpam-3951	423	38	hi(α	hi(α	NUM
ejpam-3951	423	39	,	,	PUNCT
ejpam-3951	423	40	u	u	NOUN
ejpam-3951	423	41	)	)	PUNCT
ejpam-3951	423	42	=	=	SYM
ejpam-3951	423	43	⌊∑	⌊∑	X
ejpam-3951	423	44	κ∈e	κ∈e	NOUN
ejpam-3951	423	45	∂κ	∂κ	PROPN
ejpam-3951	423	46	(	(	PUNCT
ejpam-3951	423	47	∂il(x	∂il(x	PROPN
ejpam-3951	423	48	)	)	PUNCT
ejpam-3951	423	49	)	)	PUNCT
ejpam-3951	423	50	.	.	PUNCT
ejpam-3951	424	1	(	(	PUNCT
ejpam-3951	424	2	∑	∑	PUNCT
ejpam-3951	424	3	π∈π(−1)|π|	π∈π(−1)|π|	VERB
ejpam-3951	424	4	∏	∏	NOUN
ejpam-3951	424	5	b∈π	b∈π	NOUN
ejpam-3951	424	6	∂bl(x	∂bl(x	PROPN
ejpam-3951	424	7	)	)	PUNCT
ejpam-3951	424	8	)	)	PUNCT
ejpam-3951	424	9	⌋	⌋	NOUN
ejpam-3951	425	1	x=(−	x=(−	PUNCT
ejpam-3951	426	1	logα,−	logα,−	PROPN
ejpam-3951	426	2	log	log	VERB
ejpam-3951	426	3	u,−	u,−	PROPN
ejpam-3951	426	4	log	log	NOUN
ejpam-3951	426	5	u	u	NOUN
ejpam-3951	426	6	...	...	PUNCT
ejpam-3951	426	7	,−	,−	PUNCT
ejpam-3951	426	8	log	log	VERB
ejpam-3951	426	9	u	u	NOUN
ejpam-3951	426	10	)	)	PUNCT
ejpam-3951	426	11	.	.	PUNCT
ejpam-3951	427	1	d.	d.	PROPN
ejpam-3951	427	2	barro	barro	PROPN
ejpam-3951	427	3	et	et	PROPN
ejpam-3951	427	4	al	al	PROPN
ejpam-3951	427	5	.	.	PUNCT
ejpam-3951	427	6	/	/	SYM
ejpam-3951	427	7	eur	eur	PROPN
ejpam-3951	427	8	.	.	PUNCT
ejpam-3951	428	1	j.	j.	PROPN
ejpam-3951	428	2	pure	pure	PROPN
ejpam-3951	428	3	appl	appl	PROPN
ejpam-3951	428	4	.	.	PROPN
ejpam-3951	428	5	math	math	PROPN
ejpam-3951	428	6	,	,	PUNCT
ejpam-3951	428	7	14	14	NUM
ejpam-3951	428	8	(	(	PUNCT
ejpam-3951	428	9	3	3	NUM
ejpam-3951	428	10	)	)	PUNCT
ejpam-3951	428	11	(	(	PUNCT
ejpam-3951	428	12	2021	2021	NUM
ejpam-3951	428	13	)	)	PUNCT
ejpam-3951	428	14	,	,	PUNCT
ejpam-3951	428	15	1057	1057	NUM
ejpam-3951	428	16	-	-	SYM
ejpam-3951	428	17	1081	1081	NUM
ejpam-3951	428	18	1077	1077	NUM
ejpam-3951	428	19	proof	proof	NOUN
ejpam-3951	428	20	.	.	PUNCT
ejpam-3951	429	1	this	this	DET
ejpam-3951	429	2	result	result	NOUN
ejpam-3951	429	3	is	be	AUX
ejpam-3951	429	4	immediat	immediat	NOUN
ejpam-3951	429	5	by	by	ADP
ejpam-3951	429	6	using	use	VERB
ejpam-3951	429	7	relations	relation	NOUN
ejpam-3951	429	8	(	(	PUNCT
ejpam-3951	429	9	25	25	NUM
ejpam-3951	429	10	)	)	PUNCT
ejpam-3951	429	11	and	and	CCONJ
ejpam-3951	429	12	(	(	PUNCT
ejpam-3951	429	13	39	39	NUM
ejpam-3951	429	14	)	)	PUNCT
ejpam-3951	429	15	and	and	CCONJ
ejpam-3951	429	16	taking	take	VERB
ejpam-3951	429	17	ui	ui	PROPN
ejpam-3951	429	18	=	=	PUNCT
ejpam-3951	429	19	α	α	NOUN
ejpam-3951	429	20	,	,	PUNCT
ejpam-3951	429	21	uh+1	uh+1	PROPN
ejpam-3951	429	22	=	=	SYM
ejpam-3951	429	23	u	u	NOUN
ejpam-3951	429	24	,	,	PUNCT
ejpam-3951	429	25	...	...	PUNCT
ejpam-3951	429	26	,	,	PUNCT
ejpam-3951	429	27	ud	ud	INTJ
ejpam-3951	429	28	=	=	NOUN
ejpam-3951	429	29	u	u	PROPN
ejpam-3951	429	30	for	for	ADP
ejpam-3951	429	31	all	all	PRON
ejpam-3951	429	32	i	i	PRON
ejpam-3951	429	33	=	=	NOUN
ejpam-3951	429	34	1	1	NUM
ejpam-3951	429	35	,	,	PUNCT
ejpam-3951	429	36	...	...	PUNCT
ejpam-3951	429	37	,	,	PUNCT
ejpam-3951	429	38	h	h	NOUN
ejpam-3951	429	39	and	and	CCONJ
ejpam-3951	429	40	h	h	PROPN
ejpam-3951	429	41	≤	≤	PROPN
ejpam-3951	429	42	d.	d.	PROPN
ejpam-3951	429	43	corollary	corollary	PROPN
ejpam-3951	429	44	4	4	NUM
ejpam-3951	429	45	.	.	PUNCT
ejpam-3951	430	1	let	let	VERB
ejpam-3951	430	2	x	x	PUNCT
ejpam-3951	430	3	=	=	SYM
ejpam-3951	430	4	(	(	PUNCT
ejpam-3951	430	5	x1	x1	PROPN
ejpam-3951	430	6	,	,	PUNCT
ejpam-3951	430	7	...	...	PUNCT
ejpam-3951	430	8	,	,	PUNCT
ejpam-3951	430	9	xd	xd	INTJ
ejpam-3951	430	10	)	)	PUNCT
ejpam-3951	430	11	be	be	AUX
ejpam-3951	430	12	a	a	DET
ejpam-3951	430	13	random	random	ADJ
ejpam-3951	430	14	vector	vector	NOUN
ejpam-3951	430	15	,	,	PUNCT
ejpam-3951	430	16	with	with	ADP
ejpam-3951	430	17	distribution	distribution	NOUN
ejpam-3951	430	18	f	f	NOUN
ejpam-3951	430	19	and	and	CCONJ
ejpam-3951	430	20	associeted	associeted	ADJ
ejpam-3951	430	21	copula	copula	ADJ
ejpam-3951	430	22	c.	c.	NOUN
ejpam-3951	430	23	for	for	ADP
ejpam-3951	430	24	all	all	DET
ejpam-3951	430	25	i	i	PRON
ejpam-3951	430	26	=	=	NOUN
ejpam-3951	430	27	1	1	NUM
ejpam-3951	430	28	,	,	PUNCT
ejpam-3951	430	29	...	...	PUNCT
ejpam-3951	430	30	,	,	PUNCT
ejpam-3951	430	31	h	h	NOUN
ejpam-3951	430	32	with	with	ADP
ejpam-3951	430	33	h	h	NOUN
ejpam-3951	430	34	≤	≤	PROPN
ejpam-3951	430	35	d	d	PROPN
ejpam-3951	430	36	,	,	PUNCT
ejpam-3951	430	37	then	then	ADV
ejpam-3951	430	38	i	i	PRON
ejpam-3951	430	39	)	)	PUNCT
ejpam-3951	430	40	the	the	DET
ejpam-3951	430	41	marginal	marginal	NOUN
ejpam-3951	430	42	of	of	ADP
ejpam-3951	430	43	the	the	DET
ejpam-3951	430	44	expected	expect	VERB
ejpam-3951	430	45	tail	tail	NOUN
ejpam-3951	430	46	dependence	dependence	NOUN
ejpam-3951	430	47	function	function	NOUN
ejpam-3951	430	48	of	of	ADP
ejpam-3951	430	49	lower	low	ADJ
ejpam-3951	430	50	tail	tail	NOUN
ejpam-3951	430	51	verify	verify	NOUN
ejpam-3951	430	52	,	,	PUNCT
ejpam-3951	430	53	for	for	ADP
ejpam-3951	430	54	all	all	DET
ejpam-3951	430	55	u	u	NOUN
ejpam-3951	430	56	near	near	ADP
ejpam-3951	430	57	0	0	NUM
ejpam-3951	430	58	ζlh	ζlh	ADJ
ejpam-3951	430	59	,	,	PUNCT
ejpam-3951	430	60	i(u	i(u	PROPN
ejpam-3951	430	61	)	)	PUNCT
ejpam-3951	430	62	≥	≥	PROPN
ejpam-3951	430	63	γ(u).v	γ(u).v	PROPN
ejpam-3951	430	64	arxi(u	arxi(u	PROPN
ejpam-3951	430	65	)	)	PUNCT
ejpam-3951	430	66	,	,	PUNCT
ejpam-3951	430	67	(	(	PUNCT
ejpam-3951	430	68	52	52	NUM
ejpam-3951	430	69	)	)	PUNCT
ejpam-3951	430	70	where	where	SCONJ
ejpam-3951	430	71	γ(u	γ(u	NOUN
ejpam-3951	430	72	)	)	PUNCT
ejpam-3951	430	73	=	=	SYM
ejpam-3951	431	1	∫	∫	PROPN
ejpam-3951	431	2	1	1	NUM
ejpam-3951	431	3	u	u	NOUN
ejpam-3951	431	4	cxi	cxi	PROPN
ejpam-3951	431	5	/	/	SYM
ejpam-3951	431	6	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	431	7	,	,	PUNCT
ejpam-3951	431	8	u	u	NOUN
ejpam-3951	431	9	,	,	PUNCT
ejpam-3951	431	10	...	...	PUNCT
ejpam-3951	431	11	,	,	PUNCT
ejpam-3951	431	12	u)dα	u)dα	PROPN
ejpam-3951	431	13	.	.	PUNCT
ejpam-3951	431	14	ii	ii	PROPN
ejpam-3951	431	15	)	)	PUNCT
ejpam-3951	431	16	the	the	DET
ejpam-3951	431	17	marginal	marginal	NOUN
ejpam-3951	431	18	of	of	ADP
ejpam-3951	431	19	the	the	DET
ejpam-3951	431	20	expected	expect	VERB
ejpam-3951	431	21	tail	tail	NOUN
ejpam-3951	431	22	dependence	dependence	NOUN
ejpam-3951	431	23	function	function	NOUN
ejpam-3951	431	24	of	of	ADP
ejpam-3951	431	25	upper	upper	ADJ
ejpam-3951	431	26	tail	tail	NOUN
ejpam-3951	431	27	verify	verify	NOUN
ejpam-3951	431	28	,	,	PUNCT
ejpam-3951	431	29	for	for	ADP
ejpam-3951	431	30	all	all	DET
ejpam-3951	431	31	u	u	NOUN
ejpam-3951	431	32	near	near	ADP
ejpam-3951	431	33	1	1	NUM
ejpam-3951	431	34	ζuh	ζuh	NOUN
ejpam-3951	431	35	,	,	PUNCT
ejpam-3951	431	36	i(u	i(u	PROPN
ejpam-3951	431	37	)	)	PUNCT
ejpam-3951	431	38	≥	≥	NOUN
ejpam-3951	431	39	β(u).v	β(u).v	PUNCT
ejpam-3951	431	40	arxi(1−	arxi(1−	PROPN
ejpam-3951	431	41	u	u	NOUN
ejpam-3951	431	42	)	)	PUNCT
ejpam-3951	431	43	,	,	PUNCT
ejpam-3951	431	44	(	(	PUNCT
ejpam-3951	431	45	53	53	NUM
ejpam-3951	431	46	)	)	PUNCT
ejpam-3951	431	47	where	where	SCONJ
ejpam-3951	431	48	β(u	β(u	NOUN
ejpam-3951	431	49	)	)	PUNCT
ejpam-3951	431	50	=	=	SYM
ejpam-3951	432	1	∫	∫	PUNCT
ejpam-3951	432	2	u	u	NOUN
ejpam-3951	432	3	0	0	NUM
ejpam-3951	432	4	c̆xi	c̆xi	NOUN
ejpam-3951	432	5	/	/	SYM
ejpam-3951	432	6	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	432	7	,	,	PUNCT
ejpam-3951	432	8	u	u	NOUN
ejpam-3951	432	9	,	,	PUNCT
ejpam-3951	432	10	...	...	PUNCT
ejpam-3951	432	11	,	,	PUNCT
ejpam-3951	432	12	u)dα	u)dα	PROPN
ejpam-3951	432	13	.	.	PUNCT
ejpam-3951	432	14	proof	proof	NOUN
ejpam-3951	432	15	.	.	PUNCT
ejpam-3951	433	1	for	for	ADP
ejpam-3951	433	2	all	all	DET
ejpam-3951	433	3	u	u	NOUN
ejpam-3951	433	4	,	,	PUNCT
ejpam-3951	433	5	α	α	NOUN
ejpam-3951	433	6	∈	∈	PROPN
ejpam-3951	434	1	[	[	X
ejpam-3951	434	2	0	0	NUM
ejpam-3951	434	3	,	,	PUNCT
ejpam-3951	434	4	1	1	NUM
ejpam-3951	434	5	[	[	PUNCT
ejpam-3951	434	6	such	such	ADJ
ejpam-3951	434	7	that	that	SCONJ
ejpam-3951	434	8	u	u	PROPN
ejpam-3951	434	9	≤	≤	PUNCT
ejpam-3951	434	10	α	α	X
ejpam-3951	434	11	,	,	PUNCT
ejpam-3951	434	12	it	it	PRON
ejpam-3951	434	13	follows	follow	VERB
ejpam-3951	434	14	that	that	SCONJ
ejpam-3951	434	15	v	v	ADP
ejpam-3951	434	16	arxi(α	arxi(α	PROPN
ejpam-3951	434	17	)	)	PUNCT
ejpam-3951	434	18	≥	≥	NOUN
ejpam-3951	434	19	v	v	ADP
ejpam-3951	434	20	arxi(u	arxi(u	PROPN
ejpam-3951	434	21	)	)	PUNCT
ejpam-3951	434	22	,	,	PUNCT
ejpam-3951	434	23	(	(	PUNCT
ejpam-3951	434	24	54	54	NUM
ejpam-3951	434	25	)	)	PUNCT
ejpam-3951	434	26	since	since	SCONJ
ejpam-3951	434	27	∂h+1,	∂h+1,	PROPN
ejpam-3951	434	28	...	...	PUNCT
ejpam-3951	434	29	,d	,d	PUNCT
ejpam-3951	434	30	∂ic(ui	∂ic(ui	PROPN
ejpam-3951	434	31	,	,	PUNCT
ejpam-3951	434	32	uh+1	uh+1	PROPN
ejpam-3951	434	33	,	,	PUNCT
ejpam-3951	434	34	...	...	PUNCT
ejpam-3951	434	35	,	,	PUNCT
ejpam-3951	434	36	ud	ud	INTJ
ejpam-3951	434	37	)	)	PUNCT
ejpam-3951	434	38	cd−h(uh+1	cd−h(uh+1	ADV
ejpam-3951	434	39	,	,	PUNCT
ejpam-3951	434	40	...	...	PUNCT
ejpam-3951	434	41	,	,	PUNCT
ejpam-3951	434	42	ud	ud	INTJ
ejpam-3951	434	43	)	)	PUNCT
ejpam-3951	434	44	is	be	AUX
ejpam-3951	434	45	a	a	DET
ejpam-3951	434	46	density	density	NOUN
ejpam-3951	434	47	,	,	PUNCT
ejpam-3951	434	48	we	we	PRON
ejpam-3951	434	49	have	have	VERB
ejpam-3951	434	50	∂h+1,	∂h+1,	PROPN
ejpam-3951	434	51	...	...	PUNCT
ejpam-3951	434	52	,d	,d	PUNCT
ejpam-3951	434	53	∂ic(ui	∂ic(ui	PROPN
ejpam-3951	434	54	,	,	PUNCT
ejpam-3951	434	55	uh+1	uh+1	PROPN
ejpam-3951	434	56	,	,	PUNCT
ejpam-3951	434	57	...	...	PUNCT
ejpam-3951	434	58	,	,	PUNCT
ejpam-3951	434	59	ud	ud	INTJ
ejpam-3951	434	60	)	)	PUNCT
ejpam-3951	434	61	cd−h(uh+1	cd−h(uh+1	ADV
ejpam-3951	434	62	,	,	PUNCT
ejpam-3951	434	63	...	...	PUNCT
ejpam-3951	434	64	,	,	PUNCT
ejpam-3951	434	65	ud	ud	PROPN
ejpam-3951	434	66	)	)	PUNCT
ejpam-3951	434	67	≥	≥	NOUN
ejpam-3951	434	68	0	0	NUM
ejpam-3951	434	69	,	,	PUNCT
ejpam-3951	434	70	(	(	PUNCT
ejpam-3951	434	71	55	55	NUM
ejpam-3951	434	72	)	)	PUNCT
ejpam-3951	434	73	which	which	PRON
ejpam-3951	434	74	implies	imply	VERB
ejpam-3951	434	75	,	,	PUNCT
ejpam-3951	434	76	cxi	cxi	PROPN
ejpam-3951	434	77	/	/	SYM
ejpam-3951	434	78	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	434	79	,	,	PUNCT
ejpam-3951	434	80	u	u	NOUN
ejpam-3951	434	81	,	,	PUNCT
ejpam-3951	434	82	...	...	PUNCT
ejpam-3951	434	83	,	,	PUNCT
ejpam-3951	434	84	u	u	NOUN
ejpam-3951	434	85	)	)	PUNCT
ejpam-3951	434	86	≥	≥	NOUN
ejpam-3951	434	87	0	0	NUM
ejpam-3951	434	88	,	,	PUNCT
ejpam-3951	434	89	(	(	PUNCT
ejpam-3951	434	90	56	56	NUM
ejpam-3951	434	91	)	)	PUNCT
ejpam-3951	434	92	so	so	ADV
ejpam-3951	434	93	,	,	PUNCT
ejpam-3951	434	94	v	v	ADP
ejpam-3951	434	95	arxi(α)cxi	arxi(α)cxi	NOUN
ejpam-3951	434	96	/	/	SYM
ejpam-3951	434	97	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	434	98	,	,	PUNCT
ejpam-3951	434	99	u	u	NOUN
ejpam-3951	434	100	,	,	PUNCT
ejpam-3951	434	101	...	...	PUNCT
ejpam-3951	434	102	,	,	PUNCT
ejpam-3951	434	103	u	u	NOUN
ejpam-3951	434	104	)	)	PUNCT
ejpam-3951	434	105	≥	≥	NOUN
ejpam-3951	434	106	v	v	NUM
ejpam-3951	434	107	arxi(u)cxi	arxi(u)cxi	NOUN
ejpam-3951	434	108	/	/	SYM
ejpam-3951	434	109	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	434	110	,	,	PUNCT
ejpam-3951	434	111	u	u	NOUN
ejpam-3951	434	112	,	,	PUNCT
ejpam-3951	434	113	...	...	PUNCT
ejpam-3951	434	114	,	,	PUNCT
ejpam-3951	434	115	u	u	NOUN
ejpam-3951	434	116	)	)	PUNCT
ejpam-3951	434	117	.	.	PUNCT
ejpam-3951	435	1	moreover	moreover	ADV
ejpam-3951	435	2	,	,	PUNCT
ejpam-3951	435	3	ζlh	ζlh	ADJ
ejpam-3951	435	4	,	,	PUNCT
ejpam-3951	435	5	i(u	i(u	PROPN
ejpam-3951	435	6	)	)	PUNCT
ejpam-3951	436	1	=	=	SYM
ejpam-3951	436	2	∫	∫	PROPN
ejpam-3951	436	3	1	1	NUM
ejpam-3951	436	4	u	u	NOUN
ejpam-3951	436	5	v	v	ADP
ejpam-3951	436	6	arxi(α)cxi	arxi(α)cxi	NOUN
ejpam-3951	436	7	/	/	SYM
ejpam-3951	436	8	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	436	9	,	,	PUNCT
ejpam-3951	436	10	u	u	NOUN
ejpam-3951	436	11	,	,	PUNCT
ejpam-3951	436	12	...	...	PUNCT
ejpam-3951	436	13	,	,	PUNCT
ejpam-3951	437	1	u)dα	u)dα	PROPN
ejpam-3951	437	2	≥	≥	NOUN
ejpam-3951	437	3	v	v	ADP
ejpam-3951	437	4	arxi(u	arxi(u	NOUN
ejpam-3951	437	5	)	)	PUNCT
ejpam-3951	437	6	∫	∫	PROPN
ejpam-3951	437	7	1	1	NUM
ejpam-3951	437	8	u	u	NOUN
ejpam-3951	437	9	cxi	cxi	PROPN
ejpam-3951	437	10	/	/	SYM
ejpam-3951	437	11	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	437	12	,	,	PUNCT
ejpam-3951	437	13	u	u	NOUN
ejpam-3951	437	14	,	,	PUNCT
ejpam-3951	437	15	...	...	PUNCT
ejpam-3951	437	16	,	,	PUNCT
ejpam-3951	437	17	u)dα	u)dα	PROPN
ejpam-3951	437	18	=	=	PROPN
ejpam-3951	437	19	v	v	ADP
ejpam-3951	437	20	arxi(u).γ(u	arxi(u).γ(u	NOUN
ejpam-3951	437	21	)	)	PUNCT
ejpam-3951	437	22	.	.	PUNCT
ejpam-3951	438	1	(	(	PUNCT
ejpam-3951	438	2	57	57	NUM
ejpam-3951	438	3	)	)	PUNCT
ejpam-3951	438	4	finally	finally	ADV
ejpam-3951	438	5	,	,	PUNCT
ejpam-3951	438	6	ζlh	ζlh	ADV
ejpam-3951	438	7	,	,	PUNCT
ejpam-3951	438	8	i(u	i(u	PROPN
ejpam-3951	438	9	)	)	PUNCT
ejpam-3951	438	10	≥	≥	PROPN
ejpam-3951	438	11	γ(u).v	γ(u).v	PROPN
ejpam-3951	438	12	arxi(u	arxi(u	PROPN
ejpam-3951	438	13	)	)	PUNCT
ejpam-3951	438	14	,	,	PUNCT
ejpam-3951	438	15	i	i	PRON
ejpam-3951	438	16	=	=	NOUN
ejpam-3951	438	17	1	1	NUM
ejpam-3951	438	18	,	,	PUNCT
ejpam-3951	438	19	..	..	PUNCT
ejpam-3951	438	20	,	,	PUNCT
ejpam-3951	438	21	h.	h.	PROPN
ejpam-3951	438	22	(	(	PUNCT
ejpam-3951	438	23	58	58	NUM
ejpam-3951	438	24	)	)	PUNCT
ejpam-3951	438	25	for	for	ADP
ejpam-3951	438	26	all	all	DET
ejpam-3951	438	27	u	u	NOUN
ejpam-3951	438	28	,	,	PUNCT
ejpam-3951	438	29	α	α	NOUN
ejpam-3951	438	30	∈	∈	PROPN
ejpam-3951	439	1	[	[	X
ejpam-3951	439	2	0	0	NUM
ejpam-3951	439	3	,	,	PUNCT
ejpam-3951	439	4	1	1	NUM
ejpam-3951	439	5	[	[	PUNCT
ejpam-3951	439	6	such	such	ADJ
ejpam-3951	439	7	that	that	SCONJ
ejpam-3951	439	8	α	α	PROPN
ejpam-3951	439	9	≤	≤	PROPN
ejpam-3951	439	10	u	u	NOUN
ejpam-3951	439	11	,	,	PUNCT
ejpam-3951	439	12	then	then	ADV
ejpam-3951	439	13	v	v	ADP
ejpam-3951	439	14	arxi(1−	arxi(1−	PROPN
ejpam-3951	439	15	α	α	NOUN
ejpam-3951	439	16	)	)	PUNCT
ejpam-3951	439	17	≥	≥	NOUN
ejpam-3951	439	18	v	v	ADP
ejpam-3951	439	19	arxi(1−	arxi(1−	PROPN
ejpam-3951	439	20	u	u	NOUN
ejpam-3951	439	21	)	)	PUNCT
ejpam-3951	439	22	,	,	PUNCT
ejpam-3951	439	23	(	(	PUNCT
ejpam-3951	439	24	59	59	NUM
ejpam-3951	439	25	)	)	PUNCT
ejpam-3951	439	26	d.	d.	PROPN
ejpam-3951	439	27	barro	barro	PROPN
ejpam-3951	439	28	et	et	PROPN
ejpam-3951	439	29	al	al	PROPN
ejpam-3951	439	30	.	.	PUNCT
ejpam-3951	439	31	/	/	SYM
ejpam-3951	439	32	eur	eur	PROPN
ejpam-3951	439	33	.	.	PUNCT
ejpam-3951	440	1	j.	j.	PROPN
ejpam-3951	440	2	pure	pure	PROPN
ejpam-3951	440	3	appl	appl	PROPN
ejpam-3951	440	4	.	.	PROPN
ejpam-3951	440	5	math	math	PROPN
ejpam-3951	440	6	,	,	PUNCT
ejpam-3951	440	7	14	14	NUM
ejpam-3951	440	8	(	(	PUNCT
ejpam-3951	440	9	3	3	NUM
ejpam-3951	440	10	)	)	PUNCT
ejpam-3951	440	11	(	(	PUNCT
ejpam-3951	440	12	2021	2021	NUM
ejpam-3951	440	13	)	)	PUNCT
ejpam-3951	440	14	,	,	PUNCT
ejpam-3951	440	15	1057	1057	NUM
ejpam-3951	440	16	-	-	SYM
ejpam-3951	440	17	1081	1081	NUM
ejpam-3951	440	18	1078	1078	NUM
ejpam-3951	440	19	since	since	SCONJ
ejpam-3951	440	20	∂h+1,	∂h+1,	PROPN
ejpam-3951	440	21	...	...	PUNCT
ejpam-3951	440	22	,d	,d	PUNCT
ejpam-3951	440	23	∂ic̄(1−	∂ic̄(1−	PUNCT
ejpam-3951	440	24	ui	ui	PROPN
ejpam-3951	440	25	,	,	PUNCT
ejpam-3951	440	26	1−	1−	NUM
ejpam-3951	440	27	uh+1	uh+1	PROPN
ejpam-3951	440	28	,	,	PUNCT
ejpam-3951	440	29	...	...	PUNCT
ejpam-3951	440	30	,	,	PUNCT
ejpam-3951	440	31	1−	1−	NUM
ejpam-3951	440	32	ud	ud	NOUN
ejpam-3951	440	33	)	)	PUNCT
ejpam-3951	440	34	)	)	PUNCT
ejpam-3951	440	35	c̄d−h(1−	c̄d−h(1−	VERB
ejpam-3951	440	36	uh+1	uh+1	PROPN
ejpam-3951	440	37	,	,	PUNCT
ejpam-3951	440	38	...	...	PUNCT
ejpam-3951	440	39	,	,	PUNCT
ejpam-3951	440	40	1−	1−	NUM
ejpam-3951	440	41	ud	ud	NOUN
ejpam-3951	440	42	)	)	PUNCT
ejpam-3951	440	43	is	be	AUX
ejpam-3951	440	44	a	a	DET
ejpam-3951	440	45	density	density	NOUN
ejpam-3951	440	46	function	function	NOUN
ejpam-3951	440	47	,	,	PUNCT
ejpam-3951	440	48	it	it	PRON
ejpam-3951	440	49	follows	follow	VERB
ejpam-3951	440	50	that	that	SCONJ
ejpam-3951	440	51	∂h+1,	∂h+1,	PROPN
ejpam-3951	440	52	...	...	PUNCT
ejpam-3951	440	53	,d	,d	PUNCT
ejpam-3951	440	54	∂ic̄(1−	∂ic̄(1−	PUNCT
ejpam-3951	440	55	ui	ui	PROPN
ejpam-3951	440	56	,	,	PUNCT
ejpam-3951	440	57	1−	1−	NUM
ejpam-3951	440	58	uh+1	uh+1	PROPN
ejpam-3951	440	59	,	,	PUNCT
ejpam-3951	440	60	...	...	PUNCT
ejpam-3951	440	61	,	,	PUNCT
ejpam-3951	440	62	1−	1−	NUM
ejpam-3951	440	63	ud	ud	NOUN
ejpam-3951	440	64	)	)	PUNCT
ejpam-3951	440	65	)	)	PUNCT
ejpam-3951	440	66	c̄d−h(1−	c̄d−h(1−	VERB
ejpam-3951	440	67	uh+1	uh+1	PROPN
ejpam-3951	440	68	,	,	PUNCT
ejpam-3951	440	69	...	...	PUNCT
ejpam-3951	440	70	,	,	PUNCT
ejpam-3951	440	71	1−	1−	NUM
ejpam-3951	440	72	ud	ud	NOUN
ejpam-3951	440	73	)	)	PUNCT
ejpam-3951	440	74	≥	≥	NOUN
ejpam-3951	440	75	0	0	NUM
ejpam-3951	440	76	,	,	PUNCT
ejpam-3951	440	77	(	(	PUNCT
ejpam-3951	440	78	60	60	NUM
ejpam-3951	440	79	)	)	PUNCT
ejpam-3951	440	80	which	which	PRON
ejpam-3951	440	81	implies	imply	VERB
ejpam-3951	440	82	,	,	PUNCT
ejpam-3951	440	83	c̆xi	c̆xi	ADJ
ejpam-3951	440	84	/	/	SYM
ejpam-3951	440	85	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	440	86	,	,	PUNCT
ejpam-3951	440	87	u	u	NOUN
ejpam-3951	440	88	,	,	PUNCT
ejpam-3951	440	89	...	...	PUNCT
ejpam-3951	440	90	,	,	PUNCT
ejpam-3951	440	91	u	u	NOUN
ejpam-3951	440	92	)	)	PUNCT
ejpam-3951	440	93	≥	≥	NOUN
ejpam-3951	440	94	0	0	NUM
ejpam-3951	440	95	,	,	PUNCT
ejpam-3951	440	96	(	(	PUNCT
ejpam-3951	440	97	61	61	NUM
ejpam-3951	440	98	)	)	PUNCT
ejpam-3951	440	99	finally	finally	ADV
ejpam-3951	440	100	,	,	PUNCT
ejpam-3951	440	101	ζuh	ζuh	PROPN
ejpam-3951	440	102	,	,	PUNCT
ejpam-3951	440	103	i(u	i(u	PROPN
ejpam-3951	440	104	)	)	PUNCT
ejpam-3951	440	105	≥	≥	NOUN
ejpam-3951	440	106	v	v	ADP
ejpam-3951	440	107	arxi(1−	arxi(1−	PROPN
ejpam-3951	440	108	u	u	NOUN
ejpam-3951	440	109	)	)	PUNCT
ejpam-3951	440	110	∫	∫	PROPN
ejpam-3951	440	111	u	u	NOUN
ejpam-3951	440	112	0	0	NUM
ejpam-3951	440	113	c̆xi	c̆xi	NOUN
ejpam-3951	440	114	/	/	SYM
ejpam-3951	440	115	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	440	116	,	,	PUNCT
ejpam-3951	440	117	u	u	NOUN
ejpam-3951	440	118	,	,	PUNCT
ejpam-3951	440	119	...	...	PUNCT
ejpam-3951	440	120	,	,	PUNCT
ejpam-3951	440	121	u)dα	u)dα	PROPN
ejpam-3951	440	122	=	=	SYM
ejpam-3951	440	123	β(u).v	β(u).v	PRON
ejpam-3951	440	124	arxi(1−	arxi(1−	PROPN
ejpam-3951	440	125	u	u	NOUN
ejpam-3951	440	126	)	)	PUNCT
ejpam-3951	440	127	(	(	PUNCT
ejpam-3951	440	128	62	62	NUM
ejpam-3951	440	129	)	)	PUNCT
ejpam-3951	440	130	remark	remark	NOUN
ejpam-3951	440	131	1	1	NUM
ejpam-3951	440	132	.	.	PUNCT
ejpam-3951	440	133	one	one	PRON
ejpam-3951	440	134	can	can	AUX
ejpam-3951	440	135	find	find	VERB
ejpam-3951	440	136	a	a	DET
ejpam-3951	440	137	relation	relation	NOUN
ejpam-3951	440	138	between	between	ADP
ejpam-3951	440	139	the	the	DET
ejpam-3951	440	140	marginal	marginal	ADJ
ejpam-3951	440	141	function	function	NOUN
ejpam-3951	440	142	of	of	ADP
ejpam-3951	440	143	dependence	dependence	NOUN
ejpam-3951	440	144	tail	tail	NOUN
ejpam-3951	440	145	mean	mean	NOUN
ejpam-3951	440	146	and	and	CCONJ
ejpam-3951	440	147	marginal	marginal	ADJ
ejpam-3951	440	148	of	of	ADP
ejpam-3951	440	149	the	the	DET
ejpam-3951	440	150	multivariate	multivariate	NOUN
ejpam-3951	440	151	var	var	NOUN
ejpam-3951	440	152	proposed	propose	VERB
ejpam-3951	440	153	by	by	ADP
ejpam-3951	440	154	cousin[7	cousin[7	PROPN
ejpam-3951	440	155	]	]	PUNCT
ejpam-3951	440	156	,	,	PUNCT
ejpam-3951	440	157	by	by	ADP
ejpam-3951	440	158	using	use	VERB
ejpam-3951	440	159	the	the	DET
ejpam-3951	440	160	previous	previous	ADJ
ejpam-3951	440	161	corollary	corollary	NOUN
ejpam-3951	440	162	and	and	CCONJ
ejpam-3951	440	163	proposition	proposition	NOUN
ejpam-3951	440	164	2.4	2.4	NUM
ejpam-3951	440	165	in	in	ADP
ejpam-3951	440	166	cousin[7	cousin[7	PROPN
ejpam-3951	440	167	]	]	PUNCT
ejpam-3951	440	168	.	.	PUNCT
ejpam-3951	441	1	corollary	corollary	ADJ
ejpam-3951	441	2	5	5	NUM
ejpam-3951	441	3	.	.	PUNCT
ejpam-3951	442	1	let	let	VERB
ejpam-3951	442	2	x	x	PRON
ejpam-3951	442	3	be	be	AUX
ejpam-3951	442	4	a	a	DET
ejpam-3951	442	5	random	random	ADJ
ejpam-3951	442	6	vector	vector	NOUN
ejpam-3951	442	7	,	,	PUNCT
ejpam-3951	442	8	with	with	ADP
ejpam-3951	442	9	multivariate	multivariate	NOUN
ejpam-3951	442	10	distribution	distribution	NOUN
ejpam-3951	442	11	f	f	NOUN
ejpam-3951	442	12	and	and	CCONJ
ejpam-3951	442	13	associeted	associeted	ADJ
ejpam-3951	442	14	copula	copula	PROPN
ejpam-3951	442	15	c.	c.	NOUN
ejpam-3951	442	16	then	then	ADV
ejpam-3951	442	17	,	,	PUNCT
ejpam-3951	442	18	for	for	ADP
ejpam-3951	442	19	all	all	DET
ejpam-3951	442	20	u	u	NOUN
ejpam-3951	442	21	∈	∈	PROPN
ejpam-3951	442	22	(	(	PUNCT
ejpam-3951	442	23	0	0	NUM
ejpam-3951	442	24	,	,	PUNCT
ejpam-3951	442	25	1	1	NUM
ejpam-3951	442	26	)	)	PUNCT
ejpam-3951	442	27	,	,	PUNCT
ejpam-3951	442	28	i	i	PRON
ejpam-3951	442	29	=	=	NOUN
ejpam-3951	442	30	1	1	NUM
ejpam-3951	442	31	,	,	PUNCT
ejpam-3951	442	32	...	...	PUNCT
ejpam-3951	442	33	,	,	PUNCT
ejpam-3951	442	34	h	h	PROPN
ejpam-3951	442	35	i	i	NOUN
ejpam-3951	442	36	)	)	PUNCT
ejpam-3951	443	1	the	the	DET
ejpam-3951	443	2	marginal	marginal	ADJ
ejpam-3951	443	3	function	function	NOUN
ejpam-3951	443	4	of	of	ADP
ejpam-3951	443	5	expected	expect	VERB
ejpam-3951	443	6	dependence	dependence	NOUN
ejpam-3951	443	7	of	of	ADP
ejpam-3951	443	8	lower	low	ADJ
ejpam-3951	443	9	tail	tail	NOUN
ejpam-3951	443	10	verify	verify	NOUN
ejpam-3951	443	11	,	,	PUNCT
ejpam-3951	443	12	ζlh	ζlh	ADV
ejpam-3951	443	13	,	,	PUNCT
ejpam-3951	443	14	i(u	i(u	PROPN
ejpam-3951	443	15	)	)	PUNCT
ejpam-3951	443	16	≤	≤	NOUN
ejpam-3951	443	17	(	(	PUNCT
ejpam-3951	443	18	1−	1−	NUM
ejpam-3951	443	19	u)tv	u)tv	PROPN
ejpam-3951	443	20	arxi(u	arxi(u	PROPN
ejpam-3951	443	21	)	)	PUNCT
ejpam-3951	443	22	,	,	PUNCT
ejpam-3951	443	23	ii	ii	PROPN
ejpam-3951	443	24	)	)	PUNCT
ejpam-3951	443	25	the	the	DET
ejpam-3951	443	26	marginal	marginal	ADJ
ejpam-3951	443	27	function	function	NOUN
ejpam-3951	443	28	of	of	ADP
ejpam-3951	443	29	expected	expect	VERB
ejpam-3951	443	30	dependence	dependence	NOUN
ejpam-3951	443	31	of	of	ADP
ejpam-3951	443	32	upper	upper	ADJ
ejpam-3951	443	33	tail	tail	NOUN
ejpam-3951	443	34	verify	verify	NOUN
ejpam-3951	443	35	,	,	PUNCT
ejpam-3951	443	36	ζuh	ζuh	PROPN
ejpam-3951	443	37	,	,	PUNCT
ejpam-3951	443	38	i(u	i(u	PROPN
ejpam-3951	443	39	)	)	PUNCT
ejpam-3951	443	40	≤	≤	NOUN
ejpam-3951	443	41	(	(	PUNCT
ejpam-3951	443	42	1−	1−	NUM
ejpam-3951	443	43	u)tv	u)tv	PROPN
ejpam-3951	443	44	arxi(1−	arxi(1−	PROPN
ejpam-3951	443	45	u	u	NOUN
ejpam-3951	443	46	)	)	PUNCT
ejpam-3951	443	47	,	,	PUNCT
ejpam-3951	443	48	(	(	PUNCT
ejpam-3951	443	49	63	63	NUM
ejpam-3951	443	50	)	)	PUNCT
ejpam-3951	443	51	proof	proof	NOUN
ejpam-3951	443	52	.	.	PUNCT
ejpam-3951	444	1	i	i	PRON
ejpam-3951	444	2	)	)	PUNCT
ejpam-3951	445	1	we	we	PRON
ejpam-3951	445	2	have	have	VERB
ejpam-3951	445	3	,	,	PUNCT
ejpam-3951	445	4	ζlh	ζlh	ADV
ejpam-3951	445	5	(	(	PUNCT
ejpam-3951	445	6	u	u	NOUN
ejpam-3951	445	7	)	)	PUNCT
ejpam-3951	445	8	=	=	SYM
ejpam-3951	446	1	∫	∫	PROPN
ejpam-3951	446	2	1	1	NUM
ejpam-3951	446	3	u	u	NOUN
ejpam-3951	446	4	v	v	ADP
ejpam-3951	446	5	arxi(α)cxi	arxi(α)cxi	NOUN
ejpam-3951	446	6	/	/	SYM
ejpam-3951	446	7	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	446	8	,	,	PUNCT
ejpam-3951	446	9	u	u	NOUN
ejpam-3951	446	10	,	,	PUNCT
ejpam-3951	446	11	...	...	PUNCT
ejpam-3951	446	12	,	,	PUNCT
ejpam-3951	447	1	u)dα	u)dα	PROPN
ejpam-3951	447	2	(	(	PUNCT
ejpam-3951	447	3	64	64	NUM
ejpam-3951	447	4	)	)	PUNCT
ejpam-3951	447	5	by	by	ADP
ejpam-3951	447	6	using	use	VERB
ejpam-3951	447	7	hölder	hölder	NOUN
ejpam-3951	447	8	inequality	inequality	NOUN
ejpam-3951	447	9	we	we	PRON
ejpam-3951	447	10	obtain	obtain	VERB
ejpam-3951	447	11	,	,	PUNCT
ejpam-3951	447	12	ζlh	ζlh	ADV
ejpam-3951	447	13	(	(	PUNCT
ejpam-3951	447	14	u	u	NOUN
ejpam-3951	447	15	)	)	PUNCT
ejpam-3951	447	16	≤	≤	NOUN
ejpam-3951	448	1	(	(	PUNCT
ejpam-3951	448	2	∫	∫	PROPN
ejpam-3951	448	3	1	1	NUM
ejpam-3951	448	4	u	u	NOUN
ejpam-3951	448	5	v	v	NOUN
ejpam-3951	448	6	arxi(α)dα	arxi(α)dα	NOUN
ejpam-3951	448	7	)	)	PUNCT
ejpam-3951	448	8	‖cxi	‖cxi	PROPN
ejpam-3951	448	9	/	/	SYM
ejpam-3951	448	10	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	448	11	,	,	PUNCT
ejpam-3951	448	12	u	u	NOUN
ejpam-3951	448	13	,	,	PUNCT
ejpam-3951	448	14	...	...	PUNCT
ejpam-3951	448	15	,	,	PUNCT
ejpam-3951	448	16	u)‖∞.	u)‖∞.	PROPN
ejpam-3951	448	17	in	in	ADP
ejpam-3951	448	18	other	other	ADJ
ejpam-3951	448	19	hand	hand	NOUN
ejpam-3951	448	20	,	,	PUNCT
ejpam-3951	448	21	we	we	PRON
ejpam-3951	448	22	have	have	VERB
ejpam-3951	448	23	tv	tv	NOUN
ejpam-3951	448	24	arxi(u	arxi(u	NOUN
ejpam-3951	448	25	)	)	PUNCT
ejpam-3951	448	26	=	=	SYM
ejpam-3951	448	27	1	1	NUM
ejpam-3951	448	28	1−	1−	NUM
ejpam-3951	448	29	u	u	NOUN
ejpam-3951	448	30	∫	∫	PROPN
ejpam-3951	448	31	1	1	NUM
ejpam-3951	448	32	u	u	PROPN
ejpam-3951	448	33	v	v	NOUN
ejpam-3951	448	34	arxi(α)dα	arxi(α)dα	NOUN
ejpam-3951	448	35	.	.	PUNCT
ejpam-3951	449	1	(	(	PUNCT
ejpam-3951	449	2	65	65	NUM
ejpam-3951	449	3	)	)	PUNCT
ejpam-3951	450	1	so	so	ADV
ejpam-3951	450	2	,	,	PUNCT
ejpam-3951	450	3	we	we	PRON
ejpam-3951	450	4	obtain	obtain	VERB
ejpam-3951	450	5	ζlh	ζlh	ADV
ejpam-3951	450	6	(	(	PUNCT
ejpam-3951	450	7	u	u	NOUN
ejpam-3951	450	8	)	)	PUNCT
ejpam-3951	450	9	≤	≤	NOUN
ejpam-3951	450	10	(	(	PUNCT
ejpam-3951	450	11	1−	1−	NUM
ejpam-3951	450	12	u)tv	u)tv	PROPN
ejpam-3951	450	13	arxi(u).‖cxi	arxi(u).‖cxi	NOUN
ejpam-3951	450	14	/	/	SYM
ejpam-3951	450	15	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	450	16	,	,	PUNCT
ejpam-3951	450	17	u	u	NOUN
ejpam-3951	450	18	,	,	PUNCT
ejpam-3951	450	19	...	...	PUNCT
ejpam-3951	450	20	,	,	PUNCT
ejpam-3951	450	21	u)‖∞	u)‖∞	ADJ
ejpam-3951	450	22	≤	≤	NOUN
ejpam-3951	450	23	(	(	PUNCT
ejpam-3951	450	24	1−	1−	NUM
ejpam-3951	450	25	u)tv	u)tv	PROPN
ejpam-3951	450	26	arxi(u	arxi(u	PROPN
ejpam-3951	450	27	)	)	PUNCT
ejpam-3951	450	28	.	.	PUNCT
ejpam-3951	451	1	(	(	PUNCT
ejpam-3951	451	2	66	66	NUM
ejpam-3951	451	3	)	)	PUNCT
ejpam-3951	451	4	since	since	SCONJ
ejpam-3951	451	5	0	0	NUM
ejpam-3951	451	6	≤	≤	NUM
ejpam-3951	451	7	‖cxi	‖cxi	PROPN
ejpam-3951	451	8	/	/	SYM
ejpam-3951	451	9	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	451	10	,	,	PUNCT
ejpam-3951	451	11	u	u	NOUN
ejpam-3951	451	12	,	,	PUNCT
ejpam-3951	451	13	...	...	PUNCT
ejpam-3951	451	14	,	,	PUNCT
ejpam-3951	451	15	u)‖∞	u)‖∞	ADJ
ejpam-3951	451	16	≤	≤	ADV
ejpam-3951	451	17	1	1	NUM
ejpam-3951	451	18	,	,	PUNCT
ejpam-3951	451	19	with	with	ADP
ejpam-3951	451	20	‖f‖∞	‖f‖∞	PROPN
ejpam-3951	451	21	=	=	SYM
ejpam-3951	451	22	supx	supx	PROPN
ejpam-3951	451	23	{	{	PUNCT
ejpam-3951	451	24	∫	∫	PROPN
ejpam-3951	451	25	|f(x)|dx	|f(x)|dx	PROPN
ejpam-3951	451	26	}	}	PUNCT
ejpam-3951	451	27	.	.	PUNCT
ejpam-3951	452	1	d.	d.	PROPN
ejpam-3951	452	2	barro	barro	PROPN
ejpam-3951	452	3	et	et	PROPN
ejpam-3951	452	4	al	al	PROPN
ejpam-3951	452	5	.	.	PUNCT
ejpam-3951	452	6	/	/	SYM
ejpam-3951	452	7	eur	eur	PROPN
ejpam-3951	452	8	.	.	PUNCT
ejpam-3951	453	1	j.	j.	PROPN
ejpam-3951	453	2	pure	pure	PROPN
ejpam-3951	453	3	appl	appl	PROPN
ejpam-3951	453	4	.	.	PROPN
ejpam-3951	453	5	math	math	PROPN
ejpam-3951	453	6	,	,	PUNCT
ejpam-3951	453	7	14	14	NUM
ejpam-3951	453	8	(	(	PUNCT
ejpam-3951	453	9	3	3	NUM
ejpam-3951	453	10	)	)	PUNCT
ejpam-3951	453	11	(	(	PUNCT
ejpam-3951	453	12	2021	2021	NUM
ejpam-3951	453	13	)	)	PUNCT
ejpam-3951	453	14	,	,	PUNCT
ejpam-3951	453	15	1057	1057	NUM
ejpam-3951	453	16	-	-	SYM
ejpam-3951	453	17	1081	1081	NUM
ejpam-3951	453	18	1079	1079	NUM
ejpam-3951	453	19	ii	ii	NOUN
ejpam-3951	453	20	)	)	PUNCT
ejpam-3951	453	21	we	we	PRON
ejpam-3951	453	22	have	have	VERB
ejpam-3951	453	23	,	,	PUNCT
ejpam-3951	453	24	ζuh	ζuh	PROPN
ejpam-3951	453	25	,	,	PUNCT
ejpam-3951	453	26	i(u	i(u	PROPN
ejpam-3951	453	27	)	)	PUNCT
ejpam-3951	454	1	=	=	SYM
ejpam-3951	454	2	∫	∫	PROPN
ejpam-3951	455	1	1−u	1−u	NUM
ejpam-3951	455	2	0	0	NUM
ejpam-3951	455	3	v	v	ADP
ejpam-3951	455	4	arxi(1−	arxi(1−	PROPN
ejpam-3951	455	5	α).c̆xi	α).c̆xi	PROPN
ejpam-3951	455	6	/	/	SYM
ejpam-3951	455	7	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	455	8	,	,	PUNCT
ejpam-3951	455	9	u	u	NOUN
ejpam-3951	455	10	,	,	PUNCT
ejpam-3951	455	11	...	...	PUNCT
ejpam-3951	455	12	,	,	PUNCT
ejpam-3951	455	13	u)dα	u)dα	PROPN
ejpam-3951	455	14	,	,	PUNCT
ejpam-3951	455	15	(	(	PUNCT
ejpam-3951	455	16	67	67	NUM
ejpam-3951	455	17	)	)	PUNCT
ejpam-3951	455	18	by	by	ADP
ejpam-3951	455	19	using	use	VERB
ejpam-3951	455	20	hölder	hölder	NOUN
ejpam-3951	455	21	inequality	inequality	NOUN
ejpam-3951	455	22	we	we	PRON
ejpam-3951	455	23	obtain	obtain	VERB
ejpam-3951	455	24	.	.	PUNCT
ejpam-3951	456	1	ζuh	ζuh	ADJ
ejpam-3951	456	2	,	,	PUNCT
ejpam-3951	456	3	i(u	i(u	PROPN
ejpam-3951	456	4	)	)	PUNCT
ejpam-3951	456	5	≤	≤	NOUN
ejpam-3951	457	1	(	(	PUNCT
ejpam-3951	457	2	∫	∫	PROPN
ejpam-3951	457	3	1−u	1−u	NUM
ejpam-3951	457	4	0	0	NUM
ejpam-3951	457	5	v	v	ADP
ejpam-3951	457	6	arxi(1−	arxi(1−	PROPN
ejpam-3951	457	7	α)dα	α)dα	PROPN
ejpam-3951	457	8	)	)	PUNCT
ejpam-3951	457	9	‖c̆xi	‖c̆xi	PROPN
ejpam-3951	457	10	/	/	SYM
ejpam-3951	457	11	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	457	12	,	,	PUNCT
ejpam-3951	457	13	u	u	NOUN
ejpam-3951	457	14	,	,	PUNCT
ejpam-3951	457	15	...	...	PUNCT
ejpam-3951	457	16	,	,	PUNCT
ejpam-3951	457	17	u)‖∞	u)‖∞	ADJ
ejpam-3951	457	18	,	,	PUNCT
ejpam-3951	457	19	in	in	ADP
ejpam-3951	457	20	one	one	NUM
ejpam-3951	457	21	other	other	ADJ
ejpam-3951	457	22	hand	hand	NOUN
ejpam-3951	457	23	,	,	PUNCT
ejpam-3951	457	24	we	we	PRON
ejpam-3951	457	25	have	have	VERB
ejpam-3951	457	26	tv	tv	NOUN
ejpam-3951	457	27	arxi(1−	arxi(1−	PROPN
ejpam-3951	457	28	u	u	NOUN
ejpam-3951	457	29	)	)	PUNCT
ejpam-3951	457	30	=	=	SYM
ejpam-3951	457	31	1	1	NUM
ejpam-3951	457	32	1−	1−	NUM
ejpam-3951	457	33	u	u	NOUN
ejpam-3951	457	34	∫	∫	PROPN
ejpam-3951	457	35	1−u	1−u	NUM
ejpam-3951	457	36	0	0	NUM
ejpam-3951	457	37	v	v	ADP
ejpam-3951	457	38	arxi(1−	arxi(1−	PROPN
ejpam-3951	457	39	α)dα	α)dα	PROPN
ejpam-3951	457	40	,	,	PUNCT
ejpam-3951	457	41	(	(	PUNCT
ejpam-3951	457	42	68	68	NUM
ejpam-3951	457	43	)	)	PUNCT
ejpam-3951	457	44	we	we	PRON
ejpam-3951	457	45	obtain	obtain	VERB
ejpam-3951	457	46	ζuh	ζuh	PROPN
ejpam-3951	457	47	(	(	PUNCT
ejpam-3951	457	48	u	u	NOUN
ejpam-3951	457	49	)	)	PUNCT
ejpam-3951	457	50	≤	≤	NOUN
ejpam-3951	457	51	(	(	PUNCT
ejpam-3951	457	52	1−	1−	NUM
ejpam-3951	457	53	u)tv	u)tv	PROPN
ejpam-3951	457	54	arxi(1−	arxi(1−	PROPN
ejpam-3951	457	55	u).‖c̆xi	u).‖c̆xi	NOUN
ejpam-3951	457	56	/	/	SYM
ejpam-3951	457	57	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	457	58	,	,	PUNCT
ejpam-3951	457	59	u	u	NOUN
ejpam-3951	457	60	,	,	PUNCT
ejpam-3951	457	61	...	...	PUNCT
ejpam-3951	457	62	,	,	PUNCT
ejpam-3951	457	63	u)‖∞	u)‖∞	ADJ
ejpam-3951	457	64	≤	≤	NOUN
ejpam-3951	457	65	(	(	PUNCT
ejpam-3951	457	66	1−	1−	NUM
ejpam-3951	457	67	u)tv	u)tv	PROPN
ejpam-3951	457	68	arxi(1−	arxi(1−	PROPN
ejpam-3951	457	69	u	u	NOUN
ejpam-3951	457	70	)	)	PUNCT
ejpam-3951	457	71	.	.	PUNCT
ejpam-3951	458	1	(	(	PUNCT
ejpam-3951	458	2	69	69	NUM
ejpam-3951	458	3	)	)	PUNCT
ejpam-3951	458	4	since	since	SCONJ
ejpam-3951	458	5	0	0	NUM
ejpam-3951	458	6	≤	≤	NUM
ejpam-3951	458	7	‖c̆xi	‖c̆xi	PROPN
ejpam-3951	458	8	/	/	SYM
ejpam-3951	458	9	x(d−h)(α	x(d−h)(α	PROPN
ejpam-3951	458	10	,	,	PUNCT
ejpam-3951	458	11	u	u	NOUN
ejpam-3951	458	12	,	,	PUNCT
ejpam-3951	458	13	...	...	PUNCT
ejpam-3951	458	14	,	,	PUNCT
ejpam-3951	458	15	u)‖∞	u)‖∞	ADJ
ejpam-3951	458	16	≤	≤	NUM
ejpam-3951	458	17	1	1	NUM
ejpam-3951	458	18	7	7	NUM
ejpam-3951	458	19	.	.	PUNCT
ejpam-3951	458	20	conclusion	conclusion	NOUN
ejpam-3951	458	21	and	and	CCONJ
ejpam-3951	458	22	discussion	discussion	NOUN
ejpam-3951	458	23	the	the	DET
ejpam-3951	458	24	diversity	diversity	NOUN
ejpam-3951	458	25	of	of	ADP
ejpam-3951	458	26	financial	financial	ADJ
ejpam-3951	458	27	products	product	NOUN
ejpam-3951	458	28	and	and	CCONJ
ejpam-3951	458	29	the	the	DET
ejpam-3951	458	30	interconnections	interconnection	NOUN
ejpam-3951	458	31	between	between	ADP
ejpam-3951	458	32	financial	financial	ADJ
ejpam-3951	458	33	markets	market	NOUN
ejpam-3951	458	34	make	make	VERB
ejpam-3951	458	35	investments	investment	NOUN
ejpam-3951	458	36	increasingly	increasingly	ADV
ejpam-3951	458	37	risky	risky	ADJ
ejpam-3951	458	38	.	.	PUNCT
ejpam-3951	459	1	to	to	PART
ejpam-3951	459	2	avoid	avoid	VERB
ejpam-3951	459	3	extreme	extreme	ADJ
ejpam-3951	459	4	losses	loss	NOUN
ejpam-3951	459	5	or	or	CCONJ
ejpam-3951	459	6	at	at	ADP
ejpam-3951	459	7	least	least	ADJ
ejpam-3951	459	8	reduce	reduce	VERB
ejpam-3951	459	9	their	their	PRON
ejpam-3951	459	10	magnitude	magnitude	NOUN
ejpam-3951	459	11	,	,	PUNCT
ejpam-3951	459	12	it	it	PRON
ejpam-3951	459	13	is	be	AUX
ejpam-3951	459	14	necessary	necessary	ADJ
ejpam-3951	459	15	to	to	PART
ejpam-3951	459	16	acquire	acquire	VERB
ejpam-3951	459	17	tools	tool	NOUN
ejpam-3951	459	18	to	to	PART
ejpam-3951	459	19	properly	properly	ADV
ejpam-3951	459	20	model	model	VERB
ejpam-3951	459	21	it	it	PRON
ejpam-3951	459	22	.	.	PUNCT
ejpam-3951	460	1	through	through	ADP
ejpam-3951	460	2	this	this	DET
ejpam-3951	460	3	present	present	ADJ
ejpam-3951	460	4	work	work	NOUN
ejpam-3951	460	5	,	,	PUNCT
ejpam-3951	460	6	we	we	PRON
ejpam-3951	460	7	have	have	AUX
ejpam-3951	460	8	provided	provide	VERB
ejpam-3951	460	9	a	a	DET
ejpam-3951	460	10	contribution	contribution	NOUN
ejpam-3951	460	11	on	on	ADP
ejpam-3951	460	12	this	this	DET
ejpam-3951	460	13	theme	theme	NOUN
ejpam-3951	460	14	.	.	PUNCT
ejpam-3951	461	1	in	in	ADP
ejpam-3951	461	2	particular	particular	ADJ
ejpam-3951	461	3	,	,	PUNCT
ejpam-3951	461	4	the	the	DET
ejpam-3951	461	5	results	result	NOUN
ejpam-3951	461	6	offer	offer	VERB
ejpam-3951	461	7	us	we	PRON
ejpam-3951	461	8	the	the	DET
ejpam-3951	461	9	possibility	possibility	NOUN
ejpam-3951	461	10	of	of	ADP
ejpam-3951	461	11	modeling	modeling	NOUN
ejpam-3951	461	12	and	and	CCONJ
ejpam-3951	461	13	describing	describe	VERB
ejpam-3951	461	14	the	the	DET
ejpam-3951	461	15	joint	joint	ADJ
ejpam-3951	461	16	extreme	extreme	ADJ
ejpam-3951	461	17	behavior	behavior	NOUN
ejpam-3951	461	18	of	of	ADP
ejpam-3951	461	19	several	several	ADJ
ejpam-3951	461	20	stochastic	stochastic	ADJ
ejpam-3951	461	21	risks	risk	NOUN
ejpam-3951	461	22	simultaneously.however	simultaneously.however	ADV
ejpam-3951	461	23	,	,	PUNCT
ejpam-3951	461	24	the	the	DET
ejpam-3951	461	25	applicability	applicability	NOUN
ejpam-3951	461	26	of	of	ADP
ejpam-3951	461	27	some	some	DET
ejpam-3951	461	28	results	result	NOUN
ejpam-3951	461	29	,	,	PUNCT
ejpam-3951	461	30	such	such	ADJ
ejpam-3951	461	31	as	as	ADP
ejpam-3951	461	32	those	those	PRON
ejpam-3951	461	33	on	on	ADP
ejpam-3951	461	34	extremal	extremal	ADJ
ejpam-3951	461	35	processes	process	NOUN
ejpam-3951	461	36	,	,	PUNCT
ejpam-3951	461	37	may	may	AUX
ejpam-3951	461	38	seem	seem	VERB
ejpam-3951	461	39	problematic	problematic	ADJ
ejpam-3951	461	40	given	give	VERB
ejpam-3951	461	41	their	their	PRON
ejpam-3951	461	42	rare	rare	ADJ
ejpam-3951	461	43	use	use	NOUN
ejpam-3951	461	44	in	in	ADP
ejpam-3951	461	45	practice	practice	NOUN
ejpam-3951	461	46	.	.	PUNCT
ejpam-3951	462	1	there	there	PRON
ejpam-3951	462	2	are	be	VERB
ejpam-3951	462	3	works	work	NOUN
ejpam-3951	462	4	making	make	VERB
ejpam-3951	462	5	point	point	NOUN
ejpam-3951	462	6	process	process	NOUN
ejpam-3951	462	7	applications	application	NOUN
ejpam-3951	462	8	and	and	CCONJ
ejpam-3951	462	9	records	record	NOUN
ejpam-3951	462	10	‡	‡	VERB
ejpam-3951	462	11	in	in	ADP
ejpam-3951	462	12	finance	finance	NOUN
ejpam-3951	462	13	for	for	ADP
ejpam-3951	462	14	example	example	NOUN
ejpam-3951	462	15	.	.	PUNCT
ejpam-3951	463	1	some	some	DET
ejpam-3951	463	2	researchers	researcher	NOUN
ejpam-3951	463	3	,	,	PUNCT
ejpam-3951	463	4	as	as	ADP
ejpam-3951	463	5	resnick	resnick	PROPN
ejpam-3951	463	6	[	[	X
ejpam-3951	463	7	19	19	NUM
ejpam-3951	463	8	]	]	PUNCT
ejpam-3951	463	9	,	,	PUNCT
ejpam-3951	463	10	give	give	VERB
ejpam-3951	463	11	the	the	DET
ejpam-3951	463	12	way	way	NOUN
ejpam-3951	463	13	to	to	PART
ejpam-3951	463	14	construct	construct	VERB
ejpam-3951	463	15	extremal	extremal	ADJ
ejpam-3951	463	16	process	process	NOUN
ejpam-3951	463	17	based	base	VERB
ejpam-3951	463	18	on	on	ADP
ejpam-3951	463	19	poisson	poisson	PROPN
ejpam-3951	463	20	point	point	NOUN
ejpam-3951	463	21	process	process	NOUN
ejpam-3951	463	22	,	,	PUNCT
ejpam-3951	463	23	which	which	PRON
ejpam-3951	463	24	can	can	AUX
ejpam-3951	463	25	be	be	AUX
ejpam-3951	463	26	helpful	helpful	ADJ
ejpam-3951	463	27	for	for	ADP
ejpam-3951	463	28	application	application	NOUN
ejpam-3951	463	29	.	.	PUNCT
ejpam-3951	464	1	moreover	moreover	ADV
ejpam-3951	464	2	,	,	PUNCT
ejpam-3951	464	3	extremal	extremal	ADJ
ejpam-3951	464	4	processes	process	NOUN
ejpam-3951	464	5	give	give	VERB
ejpam-3951	464	6	us	we	PRON
ejpam-3951	464	7	a	a	DET
ejpam-3951	464	8	time	time	NOUN
ejpam-3951	464	9	frame	frame	NOUN
ejpam-3951	464	10	to	to	PART
ejpam-3951	464	11	model	model	VERB
ejpam-3951	464	12	extreme	extreme	ADJ
ejpam-3951	464	13	events	event	NOUN
ejpam-3951	464	14	.	.	PUNCT
ejpam-3951	465	1	the	the	DET
ejpam-3951	465	2	interesting	interesting	ADJ
ejpam-3951	465	3	fact	fact	NOUN
ejpam-3951	465	4	is	be	AUX
ejpam-3951	465	5	that	that	SCONJ
ejpam-3951	465	6	they	they	PRON
ejpam-3951	465	7	check	check	VERB
ejpam-3951	465	8	the	the	DET
ejpam-3951	465	9	property	property	NOUN
ejpam-3951	465	10	of	of	ADP
ejpam-3951	465	11	max	max	PROPN
ejpam-3951	465	12	-	-	PUNCT
ejpam-3951	465	13	stability	stability	NOUN
ejpam-3951	465	14	,	,	PUNCT
ejpam-3951	465	15	thus	thus	ADV
ejpam-3951	465	16	making	make	VERB
ejpam-3951	465	17	them	they	PRON
ejpam-3951	465	18	strongly	strongly	ADV
ejpam-3951	465	19	related	relate	VERB
ejpam-3951	465	20	to	to	ADP
ejpam-3951	465	21	max	max	NOUN
ejpam-3951	465	22	-	-	PUNCT
ejpam-3951	465	23	stable	stable	ADJ
ejpam-3951	465	24	processes	process	NOUN
ejpam-3951	465	25	.	.	PUNCT
ejpam-3951	466	1	fortunately	fortunately	ADV
ejpam-3951	466	2	,	,	PUNCT
ejpam-3951	466	3	the	the	DET
ejpam-3951	466	4	latter	latter	ADJ
ejpam-3951	466	5	are	be	AUX
ejpam-3951	466	6	widely	widely	ADV
ejpam-3951	466	7	used	use	VERB
ejpam-3951	466	8	in	in	ADP
ejpam-3951	466	9	stochastic	stochastic	ADJ
ejpam-3951	466	10	modeling	modeling	NOUN
ejpam-3951	466	11	in	in	ADP
ejpam-3951	466	12	various	various	ADJ
ejpam-3951	466	13	fields	field	NOUN
ejpam-3951	466	14	(	(	PUNCT
ejpam-3951	466	15	hydrology	hydrology	NOUN
ejpam-3951	466	16	,	,	PUNCT
ejpam-3951	466	17	meteorology	meteorology	NOUN
ejpam-3951	466	18	,	,	PUNCT
ejpam-3951	466	19	geography	geography	NOUN
ejpam-3951	466	20	,	,	PUNCT
ejpam-3951	466	21	finance	finance	NOUN
ejpam-3951	466	22	,	,	PUNCT
ejpam-3951	466	23	etc	etc	X
ejpam-3951	466	24	.	.	X
ejpam-3951	466	25	)	)	PUNCT
ejpam-3951	466	26	.	.	PUNCT
ejpam-3951	467	1	consequently	consequently	ADV
ejpam-3951	467	2	,	,	PUNCT
ejpam-3951	467	3	there	there	PRON
ejpam-3951	467	4	are	be	VERB
ejpam-3951	467	5	several	several	ADJ
ejpam-3951	467	6	models	model	NOUN
ejpam-3951	467	7	(	(	PUNCT
ejpam-3951	467	8	temporal	temporal	ADJ
ejpam-3951	467	9	,	,	PUNCT
ejpam-3951	467	10	spatial	spatial	ADJ
ejpam-3951	467	11	,	,	PUNCT
ejpam-3951	467	12	spatio	spatio	NOUN
ejpam-3951	467	13	-	-	PUNCT
ejpam-3951	467	14	temporal	temporal	ADJ
ejpam-3951	467	15	)	)	PUNCT
ejpam-3951	467	16	of	of	ADP
ejpam-3951	467	17	these	these	DET
ejpam-3951	467	18	processes	process	NOUN
ejpam-3951	467	19	with	with	ADP
ejpam-3951	467	20	interesting	interesting	ADJ
ejpam-3951	467	21	results	result	NOUN
ejpam-3951	467	22	of	of	ADP
ejpam-3951	467	23	applications	application	NOUN
ejpam-3951	467	24	.	.	PUNCT
ejpam-3951	468	1	the	the	DET
ejpam-3951	468	2	particular	particular	ADJ
ejpam-3951	468	3	advantage	advantage	NOUN
ejpam-3951	468	4	of	of	ADP
ejpam-3951	468	5	extremal	extremal	ADJ
ejpam-3951	468	6	processes	process	NOUN
ejpam-3951	468	7	over	over	ADP
ejpam-3951	468	8	max	max	ADJ
ejpam-3951	468	9	-	-	PUNCT
ejpam-3951	468	10	stable	stable	ADJ
ejpam-3951	468	11	ones	one	NOUN
ejpam-3951	468	12	is	be	AUX
ejpam-3951	468	13	that	that	SCONJ
ejpam-3951	468	14	they	they	PRON
ejpam-3951	468	15	have	have	VERB
ejpam-3951	468	16	distributions	distribution	NOUN
ejpam-3951	468	17	that	that	PRON
ejpam-3951	468	18	can	can	AUX
ejpam-3951	468	19	be	be	AUX
ejpam-3951	468	20	expressed	express	VERB
ejpam-3951	468	21	as	as	ADP
ejpam-3951	468	22	a	a	DET
ejpam-3951	468	23	function	function	NOUN
ejpam-3951	468	24	of	of	ADP
ejpam-3951	468	25	the	the	DET
ejpam-3951	468	26	time	time	NOUN
ejpam-3951	468	27	parameter	parameter	NOUN
ejpam-3951	468	28	.	.	PUNCT
ejpam-3951	469	1	therefore	therefore	ADV
ejpam-3951	469	2	,	,	PUNCT
ejpam-3951	469	3	for	for	ADP
ejpam-3951	469	4	example	example	NOUN
ejpam-3951	469	5	,	,	PUNCT
ejpam-3951	469	6	to	to	PART
ejpam-3951	469	7	make	make	VERB
ejpam-3951	469	8	a	a	DET
ejpam-3951	469	9	spatio	spatio	ADJ
ejpam-3951	469	10	-	-	PUNCT
ejpam-3951	469	11	temporal	temporal	ADJ
ejpam-3951	469	12	study	study	NOUN
ejpam-3951	469	13	of	of	ADP
ejpam-3951	469	14	an	an	DET
ejpam-3951	469	15	extreme	extreme	NOUN
ejpam-3951	469	16	‡”for	‡”for	ADP
ejpam-3951	469	17	the	the	DET
ejpam-3951	469	18	study	study	NOUN
ejpam-3951	469	19	of	of	ADP
ejpam-3951	469	20	the	the	DET
ejpam-3951	469	21	stochastic	stochastic	ADJ
ejpam-3951	469	22	behavior	behavior	NOUN
ejpam-3951	469	23	of	of	ADP
ejpam-3951	469	24	maxima	maxima	NOUN
ejpam-3951	469	25	and	and	CCONJ
ejpam-3951	469	26	records	record	NOUN
ejpam-3951	469	27	,	,	PUNCT
ejpam-3951	469	28	extremal	extremal	ADJ
ejpam-3951	469	29	processes	process	NOUN
ejpam-3951	469	30	are	be	AUX
ejpam-3951	469	31	a	a	DET
ejpam-3951	469	32	useful	useful	ADJ
ejpam-3951	469	33	tool	tool	NOUN
ejpam-3951	469	34	.	.	PUNCT
ejpam-3951	469	35	”	"	PUNCT
ejpam-3951	470	1	resnick	resnick	PROPN
ejpam-3951	471	1	[	[	X
ejpam-3951	471	2	19	19	NUM
ejpam-3951	471	3	]	]	X
ejpam-3951	471	4	(	(	PUNCT
ejpam-3951	471	5	section	section	NOUN
ejpam-3951	471	6	4.3	4.3	NUM
ejpam-3951	471	7	p.179	p.179	NOUN
ejpam-3951	471	8	)	)	PUNCT
ejpam-3951	471	9	references	reference	VERB
ejpam-3951	471	10	1080	1080	NUM
ejpam-3951	471	11	phenomenon	phenomenon	NOUN
ejpam-3951	471	12	with	with	ADP
ejpam-3951	471	13	these	these	DET
ejpam-3951	471	14	processes	process	NOUN
ejpam-3951	471	15	,	,	PUNCT
ejpam-3951	471	16	it	it	PRON
ejpam-3951	471	17	suffices	suffice	VERB
ejpam-3951	471	18	to	to	PART
ejpam-3951	471	19	integrate	integrate	VERB
ejpam-3951	471	20	a	a	DET
ejpam-3951	471	21	spatial	spatial	ADJ
ejpam-3951	471	22	parameter	parameter	NOUN
ejpam-3951	471	23	.	.	PUNCT
ejpam-3951	472	1	the	the	DET
ejpam-3951	472	2	second	second	ADJ
ejpam-3951	472	3	important	important	ADJ
ejpam-3951	472	4	property	property	NOUN
ejpam-3951	472	5	of	of	ADP
ejpam-3951	472	6	extremal	extremal	ADJ
ejpam-3951	472	7	processes	process	NOUN
ejpam-3951	472	8	is	be	AUX
ejpam-3951	472	9	that	that	PRON
ejpam-3951	472	10	of	of	ADP
ejpam-3951	472	11	markov	markov	NOUN
ejpam-3951	472	12	.	.	PUNCT
ejpam-3951	473	1	this	this	DET
ejpam-3951	473	2	property	property	NOUN
ejpam-3951	473	3	offers	offer	VERB
ejpam-3951	473	4	us	we	PRON
ejpam-3951	473	5	the	the	DET
ejpam-3951	473	6	possibility	possibility	NOUN
ejpam-3951	473	7	of	of	ADP
ejpam-3951	473	8	making	make	VERB
ejpam-3951	473	9	predictions	prediction	NOUN
ejpam-3951	473	10	about	about	ADP
ejpam-3951	473	11	the	the	DET
ejpam-3951	473	12	future	future	ADJ
ejpam-3951	473	13	values	value	NOUN
ejpam-3951	473	14	of	of	ADP
ejpam-3951	473	15	the	the	DET
ejpam-3951	473	16	study	study	NOUN
ejpam-3951	473	17	variable	variable	NOUN
ejpam-3951	473	18	.	.	PUNCT
ejpam-3951	474	1	for	for	ADP
ejpam-3951	474	2	example	example	NOUN
ejpam-3951	474	3	,	,	PUNCT
ejpam-3951	474	4	this	this	PRON
ejpam-3951	474	5	would	would	AUX
ejpam-3951	474	6	make	make	VERB
ejpam-3951	474	7	it	it	PRON
ejpam-3951	474	8	possible	possible	ADJ
ejpam-3951	474	9	to	to	PART
ejpam-3951	474	10	forecast	forecast	VERB
ejpam-3951	474	11	the	the	DET
ejpam-3951	474	12	var	var	NOUN
ejpam-3951	474	13	,	,	PUNCT
ejpam-3951	474	14	in	in	ADP
ejpam-3951	474	15	particular	particular	ADJ
ejpam-3951	474	16	the	the	DET
ejpam-3951	474	17	multivariate	multivariate	NOUN
ejpam-3951	474	18	case	case	NOUN
ejpam-3951	474	19	,	,	PUNCT
ejpam-3951	474	20	in	in	ADP
ejpam-3951	474	21	the	the	DET
ejpam-3951	474	22	purely	purely	ADV
ejpam-3951	474	23	extreme	extreme	ADJ
ejpam-3951	474	24	setting	setting	NOUN
ejpam-3951	474	25	(	(	PUNCT
ejpam-3951	474	26	alternative	alternative	NOUN
ejpam-3951	474	27	to	to	ADP
ejpam-3951	474	28	the	the	DET
ejpam-3951	474	29	mixed	mixed	ADJ
ejpam-3951	474	30	evt	evt	PROPN
ejpam-3951	474	31	-	-	PUNCT
ejpam-3951	474	32	garch	garch	NOUN
ejpam-3951	474	33	methods	method	NOUN
ejpam-3951	474	34	,	,	PUNCT
ejpam-3951	474	35	etc	etc	X
ejpam-3951	474	36	.	.	X
ejpam-3951	474	37	)	)	PUNCT
ejpam-3951	474	38	.	.	PUNCT
ejpam-3951	475	1	the	the	DET
ejpam-3951	475	2	markov	markov	NOUN
ejpam-3951	475	3	processes	process	NOUN
ejpam-3951	475	4	and	and	CCONJ
ejpam-3951	475	5	the	the	DET
ejpam-3951	475	6	max	max	PROPN
ejpam-3951	475	7	-	-	PUNCT
ejpam-3951	475	8	stable	stable	ADJ
ejpam-3951	475	9	processes	process	NOUN
ejpam-3951	475	10	being	be	AUX
ejpam-3951	475	11	popularized	popularize	VERB
ejpam-3951	475	12	modeling	modeling	NOUN
ejpam-3951	475	13	objects	object	NOUN
ejpam-3951	475	14	,	,	PUNCT
ejpam-3951	475	15	various	various	ADJ
ejpam-3951	475	16	estimation	estimation	NOUN
ejpam-3951	475	17	and	and	CCONJ
ejpam-3951	475	18	inference	inference	NOUN
ejpam-3951	475	19	methods	method	NOUN
ejpam-3951	475	20	exist	exist	VERB
ejpam-3951	475	21	in	in	ADP
ejpam-3951	475	22	the	the	DET
ejpam-3951	475	23	literature	literature	NOUN
ejpam-3951	475	24	and	and	CCONJ
ejpam-3951	475	25	those	those	PRON
ejpam-3951	475	26	in	in	ADP
ejpam-3951	475	27	multitudes	multitude	NOUN
ejpam-3951	475	28	of	of	ADP
ejpam-3951	475	29	fields	field	NOUN
ejpam-3951	475	30	including	include	VERB
ejpam-3951	475	31	finance	finance	NOUN
ejpam-3951	475	32	.	.	PUNCT
ejpam-3951	476	1	based	base	VERB
ejpam-3951	476	2	on	on	ADP
ejpam-3951	476	3	the	the	DET
ejpam-3951	476	4	aspects	aspect	NOUN
ejpam-3951	476	5	common	common	ADJ
ejpam-3951	476	6	to	to	ADP
ejpam-3951	476	7	these	these	DET
ejpam-3951	476	8	types	type	NOUN
ejpam-3951	476	9	of	of	ADP
ejpam-3951	476	10	processes	process	NOUN
ejpam-3951	476	11	,	,	PUNCT
ejpam-3951	476	12	it	it	PRON
ejpam-3951	476	13	would	would	AUX
ejpam-3951	476	14	then	then	ADV
ejpam-3951	476	15	be	be	AUX
ejpam-3951	476	16	easy	easy	ADJ
ejpam-3951	476	17	to	to	PART
ejpam-3951	476	18	adapt	adapt	VERB
ejpam-3951	476	19	the	the	DET
ejpam-3951	476	20	extremal	extremal	ADJ
ejpam-3951	476	21	processes	process	NOUN
ejpam-3951	476	22	to	to	ADP
ejpam-3951	476	23	applications	application	NOUN
ejpam-3951	476	24	.	.	PUNCT
ejpam-3951	477	1	extremal	extremal	ADJ
ejpam-3951	477	2	processes	process	NOUN
ejpam-3951	477	3	are	be	AUX
ejpam-3951	477	4	better	well	ADV
ejpam-3951	477	5	suited	suited	ADJ
ejpam-3951	477	6	”	"	PUNCT
ejpam-3951	477	7	naturally	naturally	ADV
ejpam-3951	477	8	”	"	PUNCT
ejpam-3951	477	9	to	to	PART
ejpam-3951	477	10	model	model	VERB
ejpam-3951	477	11	the	the	DET
ejpam-3951	477	12	dynamics	dynamic	NOUN
ejpam-3951	477	13	of	of	ADP
ejpam-3951	477	14	extreme	extreme	ADJ
ejpam-3951	477	15	events	event	NOUN
ejpam-3951	477	16	as	as	SCONJ
ejpam-3951	477	17	shown	show	VERB
ejpam-3951	477	18	by	by	ADP
ejpam-3951	477	19	the	the	DET
ejpam-3951	477	20	results	result	NOUN
ejpam-3951	477	21	of	of	ADP
ejpam-3951	477	22	applications	application	NOUN
ejpam-3951	477	23	of	of	ADP
ejpam-3951	477	24	simple	simple	ADJ
ejpam-3951	477	25	evt	evt	PROPN
ejpam-3951	477	26	models	model	NOUN
ejpam-3951	477	27	(	(	PUNCT
ejpam-3951	477	28	”	"	PUNCT
ejpam-3951	477	29	deterministic	deterministic	ADJ
ejpam-3951	477	30	”	"	PUNCT
ejpam-3951	477	31	)	)	PUNCT
ejpam-3951	477	32	compared	compare	VERB
ejpam-3951	477	33	to	to	ADP
ejpam-3951	477	34	non	non	ADJ
ejpam-3951	477	35	-	-	ADJ
ejpam-3951	477	36	extreme	extreme	ADJ
ejpam-3951	477	37	methods	method	NOUN
ejpam-3951	477	38	(	(	PUNCT
ejpam-3951	477	39	gaussian	gaussian	NOUN
ejpam-3951	477	40	for	for	ADP
ejpam-3951	477	41	example	example	NOUN
ejpam-3951	477	42	)	)	PUNCT
ejpam-3951	477	43	.	.	PUNCT
ejpam-3951	478	1	it	it	PRON
ejpam-3951	478	2	would	would	AUX
ejpam-3951	478	3	be	be	AUX
ejpam-3951	478	4	judicious	judicious	ADJ
ejpam-3951	478	5	to	to	PART
ejpam-3951	478	6	explore	explore	VERB
ejpam-3951	478	7	all	all	PRON
ejpam-3951	478	8	of	of	ADP
ejpam-3951	478	9	these	these	DET
ejpam-3951	478	10	possibilities	possibility	NOUN
ejpam-3951	478	11	through	through	ADP
ejpam-3951	478	12	further	further	ADJ
ejpam-3951	478	13	practical	practical	ADJ
ejpam-3951	478	14	studies	study	NOUN
ejpam-3951	478	15	to	to	PART
ejpam-3951	478	16	compare	compare	VERB
ejpam-3951	478	17	these	these	DET
ejpam-3951	478	18	approaches	approach	NOUN
ejpam-3951	478	19	.	.	PUNCT
ejpam-3951	479	1	we	we	PRON
ejpam-3951	479	2	have	have	AUX
ejpam-3951	479	3	also	also	ADV
ejpam-3951	479	4	defined	define	VERB
ejpam-3951	479	5	two	two	NUM
ejpam-3951	479	6	multivariate	multivariate	NOUN
ejpam-3951	479	7	risk	risk	NOUN
ejpam-3951	479	8	measures	measure	NOUN
ejpam-3951	479	9	whose	whose	DET
ejpam-3951	479	10	similar	similar	ADJ
ejpam-3951	479	11	versions	version	NOUN
ejpam-3951	479	12	exist	exist	VERB
ejpam-3951	479	13	in	in	ADP
ejpam-3951	479	14	the	the	DET
ejpam-3951	479	15	bivariate	bivariate	ADJ
ejpam-3951	479	16	framework	framework	NOUN
ejpam-3951	479	17	.	.	PUNCT
ejpam-3951	480	1	thus	thus	ADV
ejpam-3951	480	2	,	,	PUNCT
ejpam-3951	480	3	by	by	ADP
ejpam-3951	480	4	using	use	VERB
ejpam-3951	480	5	of	of	ADP
ejpam-3951	480	6	these	these	DET
ejpam-3951	480	7	two	two	NUM
ejpam-3951	480	8	new	new	ADJ
ejpam-3951	480	9	measures	measure	NOUN
ejpam-3951	480	10	,	,	PUNCT
ejpam-3951	480	11	we	we	PRON
ejpam-3951	480	12	can	can	AUX
ejpam-3951	480	13	now	now	ADV
ejpam-3951	480	14	measure	measure	VERB
ejpam-3951	480	15	the	the	DET
ejpam-3951	480	16	average	average	ADJ
ejpam-3951	480	17	occurrence	occurrence	NOUN
ejpam-3951	480	18	of	of	ADP
ejpam-3951	480	19	certain	certain	ADJ
ejpam-3951	480	20	risks	risk	NOUN
ejpam-3951	480	21	compared	compare	VERB
ejpam-3951	480	22	to	to	ADP
ejpam-3951	480	23	others	other	NOUN
ejpam-3951	480	24	in	in	ADP
ejpam-3951	480	25	the	the	DET
ejpam-3951	480	26	tails	tail	NOUN
ejpam-3951	480	27	of	of	ADP
ejpam-3951	480	28	the	the	DET
ejpam-3951	480	29	distributions	distribution	NOUN
ejpam-3951	480	30	.	.	PUNCT
ejpam-3951	481	1	as	as	ADP
ejpam-3951	481	2	example	example	NOUN
ejpam-3951	481	3	,	,	PUNCT
ejpam-3951	481	4	if	if	SCONJ
ejpam-3951	481	5	we	we	PRON
ejpam-3951	481	6	consider	consider	VERB
ejpam-3951	481	7	a	a	DET
ejpam-3951	481	8	vector	vector	NOUN
ejpam-3951	481	9	of	of	ADP
ejpam-3951	481	10	two	two	NUM
ejpam-3951	481	11	random	random	ADJ
ejpam-3951	481	12	variables	variable	NOUN
ejpam-3951	481	13	z	z	NOUN
ejpam-3951	481	14	=	=	SYM
ejpam-3951	481	15	(	(	PUNCT
ejpam-3951	481	16	x	x	X
ejpam-3951	481	17	,	,	PUNCT
ejpam-3951	481	18	y	y	PROPN
ejpam-3951	481	19	)	)	PUNCT
ejpam-3951	481	20	,	,	PUNCT
ejpam-3951	481	21	modelizing	modelize	VERB
ejpam-3951	481	22	the	the	DET
ejpam-3951	481	23	profits	profit	NOUN
ejpam-3951	481	24	/	/	SYM
ejpam-3951	481	25	losses	loss	NOUN
ejpam-3951	481	26	of	of	ADP
ejpam-3951	481	27	two	two	NUM
ejpam-3951	481	28	assets	asset	NOUN
ejpam-3951	481	29	,	,	PUNCT
ejpam-3951	481	30	with	with	ADP
ejpam-3951	481	31	frchet	frchet	NOUN
ejpam-3951	481	32	margin	margin	NOUN
ejpam-3951	481	33	and	and	CCONJ
ejpam-3951	481	34	with	with	ADP
ejpam-3951	481	35	dependance	dependance	NOUN
ejpam-3951	481	36	structure	structure	NOUN
ejpam-3951	481	37	described	describe	VERB
ejpam-3951	481	38	by	by	ADP
ejpam-3951	481	39	gumbel	gumbel	PROPN
ejpam-3951	481	40	-	-	PUNCT
ejpam-3951	481	41	hougaard	hougaard	NOUN
ejpam-3951	481	42	’s	’s	PART
ejpam-3951	481	43	copula	copula	NOUN
ejpam-3951	481	44	then	then	ADV
ejpam-3951	481	45	the	the	DET
ejpam-3951	481	46	profits	profit	NOUN
ejpam-3951	481	47	/	/	SYM
ejpam-3951	481	48	losses	loss	NOUN
ejpam-3951	481	49	average	average	NOUN
ejpam-3951	481	50	of	of	ADP
ejpam-3951	481	51	one	one	NUM
ejpam-3951	481	52	asset	asset	NOUN
ejpam-3951	481	53	in	in	ADP
ejpam-3951	481	54	the	the	DET
ejpam-3951	481	55	tails	tail	NOUN
ejpam-3951	481	56	(	(	PUNCT
ejpam-3951	481	57	lower	low	ADJ
ejpam-3951	481	58	and	and	CCONJ
ejpam-3951	481	59	upper	upper	ADJ
ejpam-3951	481	60	tails	tail	NOUN
ejpam-3951	481	61	)	)	PUNCT
ejpam-3951	481	62	is	be	AUX
ejpam-3951	481	63	very	very	ADV
ejpam-3951	481	64	important	important	ADJ
ejpam-3951	481	65	when	when	SCONJ
ejpam-3951	481	66	the	the	DET
ejpam-3951	481	67	profits	profit	NOUN
ejpam-3951	481	68	/	/	SYM
ejpam-3951	481	69	losses	loss	NOUN
ejpam-3951	481	70	of	of	ADP
ejpam-3951	481	71	the	the	DET
ejpam-3951	481	72	second	second	ADJ
ejpam-3951	481	73	asset	asset	NOUN
ejpam-3951	481	74	is	be	AUX
ejpam-3951	481	75	superior	superior	ADJ
ejpam-3951	481	76	or	or	CCONJ
ejpam-3951	481	77	inferior	inferior	ADJ
ejpam-3951	481	78	of	of	ADP
ejpam-3951	481	79	the	the	DET
ejpam-3951	481	80	value	value	NOUN
ejpam-3951	481	81	at	at	ADP
ejpam-3951	481	82	risk	risk	NOUN
ejpam-3951	481	83	(	(	PUNCT
ejpam-3951	481	84	corrolary2	corrolary2	NOUN
ejpam-3951	481	85	)	)	PUNCT
ejpam-3951	481	86	.	.	PUNCT
ejpam-3951	482	1	note	note	VERB
ejpam-3951	482	2	also	also	ADV
ejpam-3951	482	3	that	that	SCONJ
ejpam-3951	482	4	the	the	DET
ejpam-3951	482	5	limits	limit	NOUN
ejpam-3951	482	6	ζlh	ζlh	ADV
ejpam-3951	482	7	and	and	CCONJ
ejpam-3951	482	8	ζuh	ζuh	PROPN
ejpam-3951	482	9	can	can	AUX
ejpam-3951	482	10	diverge	diverge	VERB
ejpam-3951	482	11	since	since	SCONJ
ejpam-3951	482	12	in	in	ADP
ejpam-3951	482	13	corollary	corollary	ADJ
ejpam-3951	482	14	13	13	NUM
ejpam-3951	482	15	,	,	PUNCT
ejpam-3951	482	16	the	the	DET
ejpam-3951	482	17	functions	function	NOUN
ejpam-3951	482	18	ζlh	ζlh	ADV
ejpam-3951	482	19	(	(	PUNCT
ejpam-3951	482	20	u	u	NOUN
ejpam-3951	482	21	)	)	PUNCT
ejpam-3951	482	22	and	and	CCONJ
ejpam-3951	482	23	ζuh	ζuh	PROPN
ejpam-3951	482	24	(	(	PUNCT
ejpam-3951	482	25	u	u	NOUN
ejpam-3951	482	26	)	)	PUNCT
ejpam-3951	482	27	are	be	AUX
ejpam-3951	482	28	greater	great	ADJ
ejpam-3951	482	29	than	than	ADP
ejpam-3951	482	30	quantities	quantity	NOUN
ejpam-3951	482	31	which	which	PRON
ejpam-3951	482	32	are	be	AUX
ejpam-3951	482	33	expressed	express	VERB
ejpam-3951	482	34	as	as	ADP
ejpam-3951	482	35	the	the	DET
ejpam-3951	482	36	product	product	NOUN
ejpam-3951	482	37	of	of	ADP
ejpam-3951	482	38	a	a	DET
ejpam-3951	482	39	finite	finite	ADJ
ejpam-3951	482	40	quantity	quantity	NOUN
ejpam-3951	482	41	and	and	CCONJ
ejpam-3951	482	42	the	the	DET
ejpam-3951	482	43	var	var	NOUN
ejpam-3951	482	44	.	.	PUNCT
ejpam-3951	483	1	the	the	DET
ejpam-3951	483	2	latter	latter	ADJ
ejpam-3951	483	3	can	can	AUX
ejpam-3951	483	4	take	take	VERB
ejpam-3951	483	5	infinite	infinite	ADJ
ejpam-3951	483	6	limit	limit	NOUN
ejpam-3951	483	7	values	value	NOUN
ejpam-3951	483	8	and	and	CCONJ
ejpam-3951	483	9	thus	thus	ADV
ejpam-3951	483	10	make	make	VERB
ejpam-3951	483	11	these	these	DET
ejpam-3951	483	12	lower	low	ADJ
ejpam-3951	483	13	bounds	bound	NOUN
ejpam-3951	483	14	quite	quite	ADV
ejpam-3951	483	15	wide	wide	ADV
ejpam-3951	483	16	.	.	PUNCT
ejpam-3951	484	1	in	in	ADP
ejpam-3951	484	2	perspective	perspective	NOUN
ejpam-3951	484	3	,	,	PUNCT
ejpam-3951	484	4	it	it	PRON
ejpam-3951	484	5	would	would	AUX
ejpam-3951	484	6	be	be	AUX
ejpam-3951	484	7	interesting	interesting	ADJ
ejpam-3951	484	8	to	to	PART
ejpam-3951	484	9	build	build	VERB
ejpam-3951	484	10	consistent	consistent	ADJ
ejpam-3951	484	11	estimators	estimator	NOUN
ejpam-3951	484	12	for	for	ADP
ejpam-3951	484	13	these	these	DET
ejpam-3951	484	14	risk	risk	NOUN
ejpam-3951	484	15	measures	measure	NOUN
ejpam-3951	484	16	in	in	ADP
ejpam-3951	484	17	the	the	DET
ejpam-3951	484	18	context	context	NOUN
ejpam-3951	484	19	of	of	ADP
ejpam-3951	484	20	extreme	extreme	ADJ
ejpam-3951	484	21	values	value	NOUN
ejpam-3951	484	22	for	for	ADP
ejpam-3951	484	23	possible	possible	ADJ
ejpam-3951	484	24	applications	application	NOUN
ejpam-3951	484	25	to	to	ADP
ejpam-3951	484	26	real	real	ADJ
ejpam-3951	484	27	data	datum	NOUN
ejpam-3951	484	28	.	.	PUNCT
ejpam-3951	485	1	references	reference	NOUN
ejpam-3951	485	2	[	[	X
ejpam-3951	485	3	1	1	NUM
ejpam-3951	485	4	]	]	PUNCT
ejpam-3951	485	5	a.	a.	NOUN
ejpam-3951	485	6	a.	a.	NOUN
ejpam-3951	485	7	balkema	balkema	PROPN
ejpam-3951	485	8	and	and	CCONJ
ejpam-3951	485	9	l.	l.	PROPN
ejpam-3951	485	10	de	de	PROPN
ejpam-3951	485	11	haan	haan	PROPN
ejpam-3951	485	12	.	.	PUNCT
ejpam-3951	486	1	residual	residual	ADJ
ejpam-3951	486	2	life	life	NOUN
ejpam-3951	486	3	time	time	NOUN
ejpam-3951	486	4	at	at	ADP
ejpam-3951	486	5	great	great	ADJ
ejpam-3951	486	6	age	age	NOUN
ejpam-3951	486	7	.	.	PUNCT
ejpam-3951	487	1	the	the	DET
ejpam-3951	487	2	annals	annal	NOUN
ejpam-3951	487	3	of	of	ADP
ejpam-3951	487	4	probability	probability	NOUN
ejpam-3951	487	5	,	,	PUNCT
ejpam-3951	487	6	2(5):792–804	2(5):792–804	NUM
ejpam-3951	487	7	,	,	PUNCT
ejpam-3951	487	8	oct	oct	PROPN
ejpam-3951	487	9	.	.	PROPN
ejpam-3951	487	10	1974	1974	NUM
ejpam-3951	487	11	.	.	PUNCT
ejpam-3951	488	1	[	[	X
ejpam-3951	488	2	2	2	X
ejpam-3951	488	3	]	]	PUNCT
ejpam-3951	488	4	d.	d.	PROPN
ejpam-3951	488	5	barro	barro	PROPN
ejpam-3951	488	6	.	.	PUNCT
ejpam-3951	489	1	analysis	analysis	NOUN
ejpam-3951	489	2	of	of	ADP
ejpam-3951	489	3	stochastic	stochastic	ADJ
ejpam-3951	489	4	spatial	spatial	ADJ
ejpam-3951	489	5	processes	process	NOUN
ejpam-3951	489	6	via	via	ADP
ejpam-3951	489	7	copulas	copula	NOUN
ejpam-3951	489	8	and	and	CCONJ
ejpam-3951	489	9	measures	measure	NOUN
ejpam-3951	489	10	of	of	ADP
ejpam-3951	489	11	extremal	extremal	ADJ
ejpam-3951	489	12	dependence	dependence	NOUN
ejpam-3951	489	13	.	.	PUNCT
ejpam-3951	490	1	archives	archive	NOUN
ejpam-3951	490	2	des	des	PROPN
ejpam-3951	490	3	sciences	sciences	PROPN
ejpam-3951	490	4	journal	journal	PROPN
ejpam-3951	490	5	,	,	PUNCT
ejpam-3951	490	6	65(12):665–673	65(12):665–673	PROPN
ejpam-3951	490	7	,	,	PUNCT
ejpam-3951	490	8	dec	dec	PROPN
ejpam-3951	490	9	.	.	PROPN
ejpam-3951	490	10	2012	2012	NUM
ejpam-3951	490	11	.	.	PUNCT
ejpam-3951	491	1	[	[	X
ejpam-3951	491	2	3	3	X
ejpam-3951	491	3	]	]	X
ejpam-3951	491	4	j.	j.	PROPN
ejpam-3951	491	5	bechmann	bechmann	PROPN
ejpam-3951	491	6	,	,	PUNCT
ejpam-3951	491	7	t.	t.	PROPN
ejpam-3951	491	8	berger	berger	PROPN
ejpam-3951	491	9	,	,	PUNCT
ejpam-3951	491	10	r.	r.	PROPN
ejpam-3951	491	11	czudaj	czudaj	NOUN
ejpam-3951	491	12	,	,	PUNCT
ejpam-3951	491	13	and	and	CCONJ
ejpam-3951	491	14	thi	thi	PROPN
ejpam-3951	491	15	-	-	PUNCT
ejpam-3951	491	16	hong	hong	PROPN
ejpam-3951	491	17	-	-	PUNCT
ejpam-3951	491	18	van	van	PROPN
ejpam-3951	491	19	hoang	hoang	PROPN
ejpam-3951	491	20	.	.	PUNCT
ejpam-3951	492	1	tail	tail	NOUN
ejpam-3951	492	2	dependence	dependence	NOUN
ejpam-3951	492	3	between	between	ADP
ejpam-3951	492	4	gold	gold	NOUN
ejpam-3951	492	5	and	and	CCONJ
ejpam-3951	492	6	sectorial	sectorial	ADJ
ejpam-3951	492	7	stocks	stock	NOUN
ejpam-3951	492	8	in	in	ADP
ejpam-3951	492	9	china	china	PROPN
ejpam-3951	492	10	:	:	PUNCT
ejpam-3951	492	11	perspectives	perspective	NOUN
ejpam-3951	492	12	for	for	ADP
ejpam-3951	492	13	portfolio	portfolio	NOUN
ejpam-3951	492	14	diversication	diversication	NOUN
ejpam-3951	492	15	.	.	PUNCT
ejpam-3951	493	1	chemnitz	chemnitz	NOUN
ejpam-3951	493	2	economic	economic	ADJ
ejpam-3951	493	3	papers	paper	NOUN
ejpam-3951	493	4	n012	n012	PROPN
ejpam-3951	493	5	,	,	PUNCT
ejpam-3951	493	6	2017	2017	NUM
ejpam-3951	493	7	.	.	PUNCT
ejpam-3951	494	1	references	reference	NOUN
ejpam-3951	494	2	1081	1081	NUM
ejpam-3951	494	3	[	[	X
ejpam-3951	494	4	4	4	NUM
ejpam-3951	494	5	]	]	X
ejpam-3951	494	6	j.	j.	PROPN
ejpam-3951	494	7	bierlant	bierlant	PROPN
ejpam-3951	494	8	,	,	PUNCT
ejpam-3951	494	9	y.	y.	PROPN
ejpam-3951	494	10	goegebeur	goegebeur	PROPN
ejpam-3951	494	11	,	,	PUNCT
ejpam-3951	494	12	and	and	CCONJ
ejpam-3951	494	13	j.	j.	PROPN
ejpam-3951	494	14	teugels	teugels	PROPN
ejpam-3951	494	15	.	.	PUNCT
ejpam-3951	495	1	statistics	statistic	NOUN
ejpam-3951	495	2	of	of	ADP
ejpam-3951	495	3	extremes	extreme	NOUN
ejpam-3951	495	4	:	:	PUNCT
ejpam-3951	495	5	theory	theory	NOUN
ejpam-3951	495	6	and	and	CCONJ
ejpam-3951	495	7	applications	application	NOUN
ejpam-3951	495	8	.	.	PUNCT
ejpam-3951	496	1	2004	2004	NUM
ejpam-3951	496	2	.	.	PUNCT
ejpam-3951	497	1	[	[	X
ejpam-3951	497	2	5	5	X
ejpam-3951	497	3	]	]	PUNCT
ejpam-3951	497	4	f.	f.	PROPN
ejpam-3951	497	5	black	black	PROPN
ejpam-3951	497	6	and	and	CCONJ
ejpam-3951	497	7	m.	m.	NOUN
ejpam-3951	497	8	scholes	schole	NOUN
ejpam-3951	497	9	.	.	PUNCT
ejpam-3951	498	1	the	the	DET
ejpam-3951	498	2	pricing	pricing	NOUN
ejpam-3951	498	3	of	of	ADP
ejpam-3951	498	4	options	option	NOUN
ejpam-3951	498	5	and	and	CCONJ
ejpam-3951	498	6	corporate	corporate	ADJ
ejpam-3951	498	7	liabilities	liability	NOUN
ejpam-3951	498	8	.	.	PUNCT
ejpam-3951	499	1	1973	1973	NUM
ejpam-3951	499	2	.	.	PUNCT
ejpam-3951	500	1	[	[	X
ejpam-3951	500	2	6	6	NUM
ejpam-3951	500	3	]	]	PUNCT
ejpam-3951	500	4	b.	b.	PROPN
ejpam-3951	500	5	brahim	brahim	PROPN
ejpam-3951	500	6	,	,	PUNCT
ejpam-3951	500	7	b.	b.	PROPN
ejpam-3951	500	8	fatah	fatah	PROPN
ejpam-3951	500	9	,	,	PUNCT
ejpam-3951	500	10	and	and	CCONJ
ejpam-3951	500	11	y.	y.	PROPN
ejpam-3951	500	12	djabrane	djabrane	PROPN
ejpam-3951	500	13	.	.	PROPN
ejpam-3951	501	1	copula	copula	ADJ
ejpam-3951	501	2	conditional	conditional	ADJ
ejpam-3951	501	3	tail	tail	NOUN
ejpam-3951	501	4	expectation	expectation	NOUN
ejpam-3951	501	5	for	for	ADP
ejpam-3951	501	6	multivariate	multivariate	NOUN
ejpam-3951	501	7	financial	financial	ADJ
ejpam-3951	501	8	risks	risk	NOUN
ejpam-3951	501	9	.	.	PUNCT
ejpam-3951	502	1	arabe	arabe	PROPN
ejpam-3951	502	2	journal	journal	PROPN
ejpam-3951	502	3	of	of	ADP
ejpam-3951	502	4	mathematical	mathematical	ADJ
ejpam-3951	502	5	sciences	science	NOUN
ejpam-3951	502	6	,	,	PUNCT
ejpam-3951	502	7	2017	2017	NUM
ejpam-3951	502	8	.	.	PUNCT
ejpam-3951	503	1	[	[	X
ejpam-3951	503	2	7	7	NUM
ejpam-3951	503	3	]	]	PUNCT
ejpam-3951	503	4	a.	a.	NOUN
ejpam-3951	503	5	cousin	cousin	NOUN
ejpam-3951	503	6	and	and	CCONJ
ejpam-3951	503	7	e.	e.	PROPN
ejpam-3951	503	8	di	di	PROPN
ejpam-3951	503	9	bernardino	bernardino	PROPN
ejpam-3951	503	10	.	.	PUNCT
ejpam-3951	504	1	on	on	ADP
ejpam-3951	504	2	multivariate	multivariate	NOUN
ejpam-3951	504	3	extensions	extension	NOUN
ejpam-3951	504	4	of	of	ADP
ejpam-3951	504	5	value	value	NOUN
ejpam-3951	504	6	-	-	PUNCT
ejpam-3951	504	7	at	at	ADP
ejpam-3951	504	8	-	-	PUNCT
ejpam-3951	504	9	risk	risk	NOUN
ejpam-3951	504	10	.	.	PUNCT
ejpam-3951	505	1	journal	journal	NOUN
ejpam-3951	505	2	of	of	ADP
ejpam-3951	505	3	multivariate	multivariate	NOUN
ejpam-3951	505	4	analysis	analysis	NOUN
ejpam-3951	505	5	,	,	PUNCT
ejpam-3951	505	6	2013	2013	NUM
ejpam-3951	505	7	.	.	PUNCT
ejpam-3951	506	1	[	[	X
ejpam-3951	506	2	8	8	NUM
ejpam-3951	506	3	]	]	X
ejpam-3951	506	4	r.	r.	PROPN
ejpam-3951	506	5	dakovic	dakovic	PROPN
ejpam-3951	506	6	and	and	CCONJ
ejpam-3951	506	7	c.	c.	PROPN
ejpam-3951	506	8	czado	czado	PROPN
ejpam-3951	506	9	.	.	PUNCT
ejpam-3951	507	1	comparing	compare	VERB
ejpam-3951	507	2	point	point	NOUN
ejpam-3951	507	3	and	and	CCONJ
ejpam-3951	507	4	interval	interval	NOUN
ejpam-3951	507	5	estimates	estimate	NOUN
ejpam-3951	507	6	in	in	ADP
ejpam-3951	507	7	the	the	DET
ejpam-3951	507	8	bivariate	bivariate	ADJ
ejpam-3951	507	9	t	t	NOUN
ejpam-3951	507	10	-	-	PUNCT
ejpam-3951	507	11	copula	copula	NOUN
ejpam-3951	507	12	model	model	NOUN
ejpam-3951	507	13	with	with	ADP
ejpam-3951	507	14	application	application	NOUN
ejpam-3951	507	15	to	to	ADP
ejpam-3951	507	16	financial	financial	ADJ
ejpam-3951	507	17	data	datum	NOUN
ejpam-3951	507	18	.	.	PUNCT
ejpam-3951	508	1	springer	springer	NOUN
ejpam-3951	508	2	,	,	PUNCT
ejpam-3951	508	3	statistical	statistical	ADJ
ejpam-3951	508	4	papers	paper	NOUN
ejpam-3951	508	5	,	,	PUNCT
ejpam-3951	508	6	52:709	52:709	NUM
ejpam-3951	508	7	–	–	PUNCT
ejpam-3951	508	8	731	731	NUM
ejpam-3951	508	9	,	,	PUNCT
ejpam-3951	508	10	2011	2011	NUM
ejpam-3951	508	11	.	.	PUNCT
ejpam-3951	509	1	[	[	X
ejpam-3951	509	2	9	9	NUM
ejpam-3951	509	3	]	]	PUNCT
ejpam-3951	509	4	l.	l.	PROPN
ejpam-3951	509	5	de	de	PROPN
ejpam-3951	509	6	haan	haan	PROPN
ejpam-3951	509	7	and	and	CCONJ
ejpam-3951	509	8	s.i	s.i	PROPN
ejpam-3951	509	9	.	.	PROPN
ejpam-3951	509	10	resnick	resnick	PROPN
ejpam-3951	509	11	.	.	PUNCT
ejpam-3951	510	1	limit	limit	VERB
ejpam-3951	510	2	theory	theory	NOUN
ejpam-3951	510	3	for	for	ADP
ejpam-3951	510	4	multivariate	multivariate	NOUN
ejpam-3951	510	5	sample	sample	NOUN
ejpam-3951	510	6	extremes	extreme	NOUN
ejpam-3951	510	7	.	.	PUNCT
ejpam-3951	511	1	z.	z.	PROPN
ejpam-3951	511	2	wahrscheinlichkeitstheorie	wahrscheinlichkeitstheorie	PROPN
ejpam-3951	511	3	verw	verw	PROPN
ejpam-3951	511	4	gebiete	gebiete	PROPN
ejpam-3951	511	5	40	40	NUM
ejpam-3951	511	6	,	,	PUNCT
ejpam-3951	511	7	2(5):317–337	2(5):317–337	NUM
ejpam-3951	511	8	,	,	PUNCT
ejpam-3951	511	9	october	october	PROPN
ejpam-3951	511	10	1977	1977	NUM
ejpam-3951	511	11	.	.	PUNCT
ejpam-3951	512	1	[	[	X
ejpam-3951	512	2	10	10	NUM
ejpam-3951	512	3	]	]	PUNCT
ejpam-3951	512	4	b.	b.	NOUN
ejpam-3951	513	1	some	some	DET
ejpam-3951	513	2	dossou	dossou	NOUN
ejpam-3951	513	3	-	-	PUNCT
ejpam-3951	513	4	gbete	gbete	NOUN
ejpam-3951	513	5	and	and	CCONJ
ejpam-3951	513	6	d.	d.	PROPN
ejpam-3951	513	7	barro	barro	PROPN
ejpam-3951	513	8	.	.	PUNCT
ejpam-3951	514	1	modelling	model	VERB
ejpam-3951	514	2	the	the	DET
ejpam-3951	514	3	dependence	dependence	NOUN
ejpam-3951	514	4	of	of	ADP
ejpam-3951	514	5	parametric	parametric	ADJ
ejpam-3951	514	6	bivariate	bivariate	ADJ
ejpam-3951	514	7	extreme	extreme	ADJ
ejpam-3951	514	8	value	value	NOUN
ejpam-3951	514	9	copulas	copula	NOUN
ejpam-3951	514	10	.	.	PUNCT
ejpam-3951	515	1	asian	asian	ADJ
ejpam-3951	515	2	journal	journal	PROPN
ejpam-3951	515	3	of	of	ADP
ejpam-3951	515	4	mathematics	mathematics	PROPN
ejpam-3951	515	5	&	&	CCONJ
ejpam-3951	515	6	statistics	statistic	NOUN
ejpam-3951	515	7	,	,	PUNCT
ejpam-3951	515	8	2:41–54	2:41–54	NUM
ejpam-3951	515	9	,	,	PUNCT
ejpam-3951	515	10	2009	2009	NUM
ejpam-3951	515	11	.	.	PUNCT
ejpam-3951	516	1	[	[	X
ejpam-3951	516	2	11	11	NUM
ejpam-3951	516	3	]	]	PUNCT
ejpam-3951	516	4	p.	p.	NOUN
ejpam-3951	516	5	embrechts	embrecht	NOUN
ejpam-3951	516	6	,	,	PUNCT
ejpam-3951	516	7	c.	c.	PROPN
ejpam-3951	516	8	klüppelberg	klüppelberg	PROPN
ejpam-3951	516	9	,	,	PUNCT
ejpam-3951	516	10	and	and	CCONJ
ejpam-3951	516	11	t.	t.	PROPN
ejpam-3951	516	12	mikosch	mikosch	PROPN
ejpam-3951	516	13	.	.	PUNCT
ejpam-3951	517	1	modelling	model	VERB
ejpam-3951	517	2	extremal	extremal	ADJ
ejpam-3951	517	3	events	event	NOUN
ejpam-3951	517	4	for	for	ADP
ejpam-3951	517	5	insurance	insurance	NOUN
ejpam-3951	517	6	and	and	CCONJ
ejpam-3951	517	7	finance	finance	NOUN
ejpam-3951	517	8	.	.	PUNCT
ejpam-3951	518	1	1997	1997	NUM
ejpam-3951	518	2	.	.	PUNCT
ejpam-3951	519	1	[	[	X
ejpam-3951	519	2	12	12	NUM
ejpam-3951	519	3	]	]	PUNCT
ejpam-3951	519	4	m.	m.	NOUN
ejpam-3951	519	5	falk	falk	NOUN
ejpam-3951	519	6	.	.	PUNCT
ejpam-3951	520	1	multivariate	multivariate	NOUN
ejpam-3951	520	2	extreme	extreme	ADJ
ejpam-3951	520	3	value	value	NOUN
ejpam-3951	520	4	distribution	distribution	NOUN
ejpam-3951	520	5	and	and	CCONJ
ejpam-3951	520	6	d	d	NOUN
ejpam-3951	520	7	-	-	NOUN
ejpam-3951	520	8	norms	norm	NOUN
ejpam-3951	520	9	.	.	PUNCT
ejpam-3951	521	1	2019	2019	NUM
ejpam-3951	521	2	.	.	PUNCT
ejpam-3951	522	1	[	[	X
ejpam-3951	522	2	13	13	NUM
ejpam-3951	522	3	]	]	PUNCT
ejpam-3951	522	4	r.	r.	PROPN
ejpam-3951	522	5	a.	a.	PROPN
ejpam-3951	522	6	fisher	fisher	PROPN
ejpam-3951	522	7	and	and	CCONJ
ejpam-3951	522	8	l.	l.	PROPN
ejpam-3951	522	9	h.	h.	PROPN
ejpam-3951	522	10	c.	c.	PROPN
ejpam-3951	522	11	tippet	tippet	PROPN
ejpam-3951	522	12	.	.	PUNCT
ejpam-3951	523	1	limitting	limitte	VERB
ejpam-3951	523	2	forms	form	NOUN
ejpam-3951	523	3	of	of	ADP
ejpam-3951	523	4	the	the	DET
ejpam-3951	523	5	frequency	frequency	NOUN
ejpam-3951	523	6	distribution	distribution	NOUN
ejpam-3951	523	7	of	of	ADP
ejpam-3951	523	8	the	the	DET
ejpam-3951	523	9	largest	large	ADJ
ejpam-3951	523	10	or	or	CCONJ
ejpam-3951	523	11	smalllest	smalllest	VERB
ejpam-3951	523	12	member	member	NOUN
ejpam-3951	523	13	of	of	ADP
ejpam-3951	523	14	a	a	DET
ejpam-3951	523	15	sample	sample	NOUN
ejpam-3951	523	16	.	.	PUNCT
ejpam-3951	524	1	mathematical	mathematical	ADJ
ejpam-3951	524	2	proceedings	proceeding	NOUN
ejpam-3951	524	3	of	of	ADP
ejpam-3951	524	4	the	the	DET
ejpam-3951	524	5	cambridge	cambridge	PROPN
ejpam-3951	524	6	philosophical	philosophical	ADJ
ejpam-3951	524	7	society	society	NOUN
ejpam-3951	524	8	,	,	PUNCT
ejpam-3951	524	9	24:317–337	24:317–337	PROPN
ejpam-3951	524	10	,	,	PUNCT
ejpam-3951	524	11	apr	apr	PROPN
ejpam-3951	524	12	.	.	PROPN
ejpam-3951	524	13	1928	1928	NUM
ejpam-3951	524	14	.	.	PUNCT
ejpam-3951	525	1	[	[	X
ejpam-3951	525	2	14	14	NUM
ejpam-3951	525	3	]	]	X
ejpam-3951	525	4	matthieu	matthieu	PROPN
ejpam-3951	525	5	garcin	garcin	PROPN
ejpam-3951	525	6	,	,	PUNCT
ejpam-3951	525	7	dominique	dominique	PROPN
ejpam-3951	525	8	guegan	guegan	PROPN
ejpam-3951	525	9	,	,	PUNCT
ejpam-3951	525	10	and	and	CCONJ
ejpam-3951	525	11	bertrand	bertrand	PROPN
ejpam-3951	525	12	hassani	hassani	PROPN
ejpam-3951	525	13	.	.	PUNCT
ejpam-3951	526	1	a	a	DET
ejpam-3951	526	2	novel	novel	ADJ
ejpam-3951	526	3	multivariate	multivariate	NOUN
ejpam-3951	526	4	risk	risk	NOUN
ejpam-3951	526	5	measure	measure	NOUN
ejpam-3951	526	6	:	:	PUNCT
ejpam-3951	526	7	the	the	DET
ejpam-3951	526	8	kendall	kendall	PROPN
ejpam-3951	526	9	var	var	PROPN
ejpam-3951	526	10	.	.	PUNCT
ejpam-3951	527	1	hal	hal	PROPN
ejpam-3951	527	2	,	,	PUNCT
ejpam-3951	527	3	ffhalshs-01467857v2f	ffhalshs-01467857v2f	NOUN
ejpam-3951	527	4	,	,	PUNCT
ejpam-3951	527	5	2018	2018	NUM
ejpam-3951	527	6	.	.	PUNCT
ejpam-3951	528	1	[	[	X
ejpam-3951	528	2	15	15	NUM
ejpam-3951	528	3	]	]	X
ejpam-3951	528	4	s.	s.	PROPN
ejpam-3951	528	5	l.	l.	PROPN
ejpam-3951	528	6	heston	heston	PROPN
ejpam-3951	528	7	.	.	PUNCT
ejpam-3951	529	1	a	a	DET
ejpam-3951	529	2	closed	closed	ADJ
ejpam-3951	529	3	form	form	NOUN
ejpam-3951	529	4	solution	solution	NOUN
ejpam-3951	529	5	for	for	ADP
ejpam-3951	529	6	options	option	NOUN
ejpam-3951	529	7	with	with	ADP
ejpam-3951	529	8	stochastic	stochastic	ADJ
ejpam-3951	529	9	volatility	volatility	NOUN
ejpam-3951	529	10	with	with	ADP
ejpam-3951	529	11	applications	application	NOUN
ejpam-3951	529	12	to	to	PART
ejpam-3951	529	13	bond	bond	NOUN
ejpam-3951	529	14	and	and	CCONJ
ejpam-3951	529	15	currency	currency	NOUN
ejpam-3951	529	16	options	option	NOUN
ejpam-3951	529	17	.	.	PUNCT
ejpam-3951	530	1	the	the	DET
ejpam-3951	530	2	reviews	review	NOUN
ejpam-3951	530	3	of	of	ADP
ejpam-3951	530	4	fiancial	fiancial	ADJ
ejpam-3951	530	5	studie	studie	NOUN
ejpam-3951	530	6	,	,	PUNCT
ejpam-3951	530	7	6:726–737	6:726–737	NOUN
ejpam-3951	530	8	,	,	PUNCT
ejpam-3951	530	9	1993	1993	NUM
ejpam-3951	530	10	.	.	PUNCT
ejpam-3951	531	1	[	[	X
ejpam-3951	531	2	16	16	X
ejpam-3951	531	3	]	]	X
ejpam-3951	531	4	y.	y.	PROPN
ejpam-3951	531	5	malevergne	malevergne	PROPN
ejpam-3951	531	6	and	and	CCONJ
ejpam-3951	531	7	d.	d.	PROPN
ejpam-3951	531	8	sornette	sornette	PROPN
ejpam-3951	531	9	.	.	PUNCT
ejpam-3951	532	1	extreme	extreme	ADJ
ejpam-3951	532	2	financial	financial	ADJ
ejpam-3951	532	3	risks	risk	NOUN
ejpam-3951	532	4	from	from	ADP
ejpam-3951	532	5	dependence	dependence	NOUN
ejpam-3951	532	6	to	to	ADP
ejpam-3951	532	7	risk	risk	NOUN
ejpam-3951	532	8	management	management	NOUN
ejpam-3951	532	9	.	.	PUNCT
ejpam-3951	533	1	springer	springer	NOUN
ejpam-3951	533	2	,	,	PUNCT
ejpam-3951	533	3	new	new	PROPN
ejpam-3951	533	4	york	york	PROPN
ejpam-3951	533	5	,	,	PUNCT
ejpam-3951	533	6	2006	2006	NUM
ejpam-3951	533	7	.	.	PUNCT
ejpam-3951	534	1	[	[	X
ejpam-3951	534	2	17	17	NUM
ejpam-3951	534	3	]	]	X
ejpam-3951	534	4	h.	h.	PROPN
ejpam-3951	534	5	markowitz	markowitz	PROPN
ejpam-3951	534	6	.	.	PUNCT
ejpam-3951	534	7	porfolio	porfolio	NOUN
ejpam-3951	534	8	selection	selection	NOUN
ejpam-3951	534	9	.	.	PUNCT
ejpam-3951	535	1	the	the	DET
ejpam-3951	535	2	journal	journal	PROPN
ejpam-3951	535	3	of	of	ADP
ejpam-3951	535	4	finance	finance	NOUN
ejpam-3951	535	5	,	,	PUNCT
ejpam-3951	535	6	7(1):77–91	7(1):77–91	NUM
ejpam-3951	535	7	,	,	PUNCT
ejpam-3951	535	8	mar	mar	PROPN
ejpam-3951	535	9	.	.	PROPN
ejpam-3951	535	10	1952	1952	NUM
ejpam-3951	535	11	.	.	PUNCT
ejpam-3951	536	1	[	[	X
ejpam-3951	536	2	18	18	NUM
ejpam-3951	536	3	]	]	X
ejpam-3951	536	4	r.	r.	PROPN
ejpam-3951	536	5	nelsen	nelsen	PROPN
ejpam-3951	536	6	.	.	PUNCT
ejpam-3951	537	1	an	an	DET
ejpam-3951	537	2	introduction	introduction	NOUN
ejpam-3951	537	3	to	to	ADP
ejpam-3951	537	4	copulas	copula	NOUN
ejpam-3951	537	5	.	.	PUNCT
ejpam-3951	537	6	springer	springer	NOUN
ejpam-3951	537	7	,	,	PUNCT
ejpam-3951	537	8	2006	2006	NUM
ejpam-3951	537	9	.	.	PUNCT
ejpam-3951	538	1	[	[	X
ejpam-3951	538	2	19	19	NUM
ejpam-3951	538	3	]	]	PUNCT
ejpam-3951	538	4	s.	s.	PROPN
ejpam-3951	538	5	i.	i.	PROPN
ejpam-3951	538	6	resnick	resnick	PROPN
ejpam-3951	538	7	.	.	PUNCT
ejpam-3951	539	1	extreme	extreme	ADJ
ejpam-3951	539	2	values	value	NOUN
ejpam-3951	539	3	,	,	PUNCT
ejpam-3951	539	4	regular	regular	ADJ
ejpam-3951	539	5	variation	variation	NOUN
ejpam-3951	539	6	and	and	CCONJ
ejpam-3951	539	7	point	point	NOUN
ejpam-3951	539	8	processes	process	NOUN
ejpam-3951	539	9	.	.	PUNCT
ejpam-3951	540	1	springer	springer	NOUN
ejpam-3951	540	2	,	,	PUNCT
ejpam-3951	540	3	1987	1987	NUM
ejpam-3951	540	4	.	.	PUNCT
ejpam-3951	541	1	[	[	X
ejpam-3951	541	2	20	20	NUM
ejpam-3951	541	3	]	]	X
ejpam-3951	541	4	v.	v.	CCONJ
ejpam-3951	541	5	schmitz	schmitz	PROPN
ejpam-3951	541	6	.	.	PUNCT
ejpam-3951	542	1	copulas	copula	NOUN
ejpam-3951	542	2	and	and	CCONJ
ejpam-3951	542	3	stochastic	stochastic	ADJ
ejpam-3951	542	4	processes	process	NOUN
ejpam-3951	542	5	.	.	PUNCT
ejpam-3951	543	1	phd	phd	NOUN
ejpam-3951	543	2	thesis	thesis	PROPN
ejpam-3951	543	3	,	,	PUNCT
ejpam-3951	543	4	aachen	aachen	PROPN
ejpam-3951	543	5	university	university	PROPN
ejpam-3951	543	6	,	,	PUNCT
ejpam-3951	543	7	aachen	aachen	PROPN
ejpam-3951	543	8	,	,	PUNCT
ejpam-3951	543	9	germany	germany	PROPN
ejpam-3951	543	10	,	,	PUNCT
ejpam-3951	543	11	2003	2003	NUM
ejpam-3951	543	12	.	.	PUNCT