id	sid	tid	token	lemma	pos
ejpam-3395	1	1	european	european	PROPN
ejpam-3395	1	2	journal	journal	PROPN
ejpam-3395	1	3	of	of	ADP
ejpam-3395	1	4	pure	pure	ADJ
ejpam-3395	1	5	and	and	CCONJ
ejpam-3395	1	6	applied	apply	VERB
ejpam-3395	1	7	mathematics	mathematic	NOUN
ejpam-3395	1	8	vol	vol	NOUN
ejpam-3395	1	9	.	.	PROPN
ejpam-3395	2	1	12	12	NUM
ejpam-3395	2	2	,	,	PUNCT
ejpam-3395	2	3	no	no	INTJ
ejpam-3395	2	4	.	.	NOUN
ejpam-3395	2	5	2	2	NUM
ejpam-3395	2	6	,	,	PUNCT
ejpam-3395	2	7	2019	2019	NUM
ejpam-3395	2	8	,	,	PUNCT
ejpam-3395	2	9	448	448	NUM
ejpam-3395	2	10	-	-	SYM
ejpam-3395	2	11	468	468	NUM
ejpam-3395	2	12	issn	issn	PROPN
ejpam-3395	2	13	1307	1307	NUM
ejpam-3395	2	14	-	-	SYM
ejpam-3395	2	15	5543	5543	NUM
ejpam-3395	2	16	–	–	PUNCT
ejpam-3395	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3395	2	18	published	publish	VERB
ejpam-3395	2	19	by	by	ADP
ejpam-3395	2	20	new	new	PROPN
ejpam-3395	2	21	york	york	PROPN
ejpam-3395	2	22	business	business	PROPN
ejpam-3395	2	23	global	global	ADJ
ejpam-3395	2	24	existence	existence	NOUN
ejpam-3395	2	25	and	and	CCONJ
ejpam-3395	2	26	uniqueness	uniqueness	ADJ
ejpam-3395	2	27	solution	solution	NOUN
ejpam-3395	2	28	under	under	ADP
ejpam-3395	2	29	non	non	ADJ
ejpam-3395	2	30	-	-	ADJ
ejpam-3395	2	31	lipschitz	lipschitz	ADJ
ejpam-3395	2	32	condition	condition	NOUN
ejpam-3395	2	33	of	of	ADP
ejpam-3395	2	34	the	the	DET
ejpam-3395	2	35	mixed	mixed	ADJ
ejpam-3395	2	36	fractional	fractional	PROPN
ejpam-3395	2	37	heston	heston	PROPN
ejpam-3395	2	38	’s	’s	PART
ejpam-3395	2	39	model	model	PROPN
ejpam-3395	2	40	didier	didier	PROPN
ejpam-3395	2	41	alain	alain	PROPN
ejpam-3395	2	42	njamen	njamen	PROPN
ejpam-3395	2	43	njomen1,∗	njomen1,∗	PROPN
ejpam-3395	2	44	,	,	PUNCT
ejpam-3395	2	45	eric	eric	PROPN
ejpam-3395	2	46	djeutcha1	djeutcha1	PROPN
ejpam-3395	2	47	,	,	PUNCT
ejpam-3395	2	48	louis	louis	NOUN
ejpam-3395	2	49	-	-	PUNCT
ejpam-3395	2	50	aimé	aimé	NOUN
ejpam-3395	2	51	fono2	fono2	NOUN
ejpam-3395	2	52	1	1	NUM
ejpam-3395	2	53	department	department	NOUN
ejpam-3395	2	54	of	of	ADP
ejpam-3395	2	55	mathematics	mathematic	NOUN
ejpam-3395	2	56	and	and	CCONJ
ejpam-3395	2	57	computer	computer	NOUN
ejpam-3395	2	58	’s	’s	PART
ejpam-3395	2	59	science	science	NOUN
ejpam-3395	2	60	,	,	PUNCT
ejpam-3395	2	61	faculty	faculty	NOUN
ejpam-3395	2	62	of	of	ADP
ejpam-3395	2	63	science	science	NOUN
ejpam-3395	2	64	,	,	PUNCT
ejpam-3395	2	65	university	university	NOUN
ejpam-3395	2	66	of	of	ADP
ejpam-3395	2	67	maroua	maroua	ADJ
ejpam-3395	2	68	,	,	PUNCT
ejpam-3395	2	69	maroua	maroua	ADJ
ejpam-3395	2	70	,	,	PUNCT
ejpam-3395	2	71	cameroon	cameroon	PROPN
ejpam-3395	2	72	2	2	NUM
ejpam-3395	2	73	department	department	NOUN
ejpam-3395	2	74	of	of	ADP
ejpam-3395	2	75	mathematics	mathematic	NOUN
ejpam-3395	2	76	and	and	CCONJ
ejpam-3395	2	77	computer	computer	NOUN
ejpam-3395	2	78	’s	’s	PART
ejpam-3395	2	79	science	science	NOUN
ejpam-3395	2	80	,	,	PUNCT
ejpam-3395	2	81	faculty	faculty	NOUN
ejpam-3395	2	82	of	of	ADP
ejpam-3395	2	83	science	science	NOUN
ejpam-3395	2	84	,	,	PUNCT
ejpam-3395	2	85	university	university	NOUN
ejpam-3395	2	86	of	of	ADP
ejpam-3395	2	87	douala	douala	PROPN
ejpam-3395	2	88	,	,	PUNCT
ejpam-3395	2	89	cameroon	cameroon	PROPN
ejpam-3395	2	90	abstract	abstract	NOUN
ejpam-3395	2	91	.	.	PUNCT
ejpam-3395	3	1	this	this	DET
ejpam-3395	3	2	paper	paper	NOUN
ejpam-3395	3	3	focuses	focus	VERB
ejpam-3395	3	4	on	on	ADP
ejpam-3395	3	5	a	a	DET
ejpam-3395	3	6	mixed	mixed	ADJ
ejpam-3395	3	7	fractional	fractional	ADJ
ejpam-3395	3	8	version	version	NOUN
ejpam-3395	3	9	of	of	ADP
ejpam-3395	3	10	heston	heston	PROPN
ejpam-3395	3	11	model	model	NOUN
ejpam-3395	3	12	in	in	ADP
ejpam-3395	3	13	which	which	PRON
ejpam-3395	3	14	the	the	DET
ejpam-3395	3	15	volatility	volatility	NOUN
ejpam-3395	3	16	brownian	brownian	NOUN
ejpam-3395	3	17	and	and	CCONJ
ejpam-3395	3	18	price	price	NOUN
ejpam-3395	3	19	brownian	brownian	NOUN
ejpam-3395	3	20	are	be	AUX
ejpam-3395	3	21	replaced	replace	VERB
ejpam-3395	3	22	by	by	ADP
ejpam-3395	3	23	mixed	mixed	ADJ
ejpam-3395	3	24	fractional	fractional	ADJ
ejpam-3395	3	25	brownian	brownian	ADJ
ejpam-3395	3	26	motion	motion	NOUN
ejpam-3395	3	27	with	with	ADP
ejpam-3395	3	28	the	the	DET
ejpam-3395	3	29	hurst	hurst	PROPN
ejpam-3395	3	30	parameter	parameter	PROPN
ejpam-3395	3	31	h	h	PROPN
ejpam-3395	3	32	∈	∈	PROPN
ejpam-3395	3	33	(	(	PUNCT
ejpam-3395	3	34	3	3	NUM
ejpam-3395	3	35	4	4	NUM
ejpam-3395	3	36	,	,	PUNCT
ejpam-3395	3	37	1	1	NUM
ejpam-3395	3	38	)	)	PUNCT
ejpam-3395	3	39	so	so	SCONJ
ejpam-3395	3	40	that	that	SCONJ
ejpam-3395	3	41	the	the	DET
ejpam-3395	3	42	model	model	NOUN
ejpam-3395	3	43	exhibits	exhibit	VERB
ejpam-3395	3	44	the	the	DET
ejpam-3395	3	45	long	long	ADJ
ejpam-3395	3	46	range	range	NOUN
ejpam-3395	3	47	dependence	dependence	NOUN
ejpam-3395	3	48	.	.	PUNCT
ejpam-3395	4	1	the	the	DET
ejpam-3395	4	2	existence	existence	NOUN
ejpam-3395	4	3	and	and	CCONJ
ejpam-3395	4	4	uniqueness	uniqueness	NOUN
ejpam-3395	4	5	of	of	ADP
ejpam-3395	4	6	solution	solution	NOUN
ejpam-3395	4	7	of	of	ADP
ejpam-3395	4	8	mixed	mixed	ADJ
ejpam-3395	4	9	fractional	fractional	ADJ
ejpam-3395	4	10	heston	heston	PROPN
ejpam-3395	4	11	model	model	NOUN
ejpam-3395	4	12	is	be	AUX
ejpam-3395	4	13	established	establish	VERB
ejpam-3395	4	14	under	under	ADP
ejpam-3395	4	15	various	various	ADJ
ejpam-3395	4	16	non	non	ADJ
ejpam-3395	4	17	-	-	ADJ
ejpam-3395	4	18	lipschitz	lipschitz	ADJ
ejpam-3395	4	19	condition	condition	NOUN
ejpam-3395	4	20	and	and	CCONJ
ejpam-3395	4	21	a	a	DET
ejpam-3395	4	22	related	relate	VERB
ejpam-3395	4	23	euler	euler	NOUN
ejpam-3395	4	24	discretization	discretization	NOUN
ejpam-3395	4	25	method	method	NOUN
ejpam-3395	4	26	is	be	AUX
ejpam-3395	4	27	discussed	discuss	VERB
ejpam-3395	4	28	.	.	PUNCT
ejpam-3395	5	1	an	an	DET
ejpam-3395	5	2	example	example	NOUN
ejpam-3395	5	3	on	on	ADP
ejpam-3395	5	4	the	the	DET
ejpam-3395	5	5	american	american	ADJ
ejpam-3395	5	6	put	put	NOUN
ejpam-3395	5	7	option	option	NOUN
ejpam-3395	5	8	price	price	NOUN
ejpam-3395	5	9	using	use	VERB
ejpam-3395	5	10	least	least	ADJ
ejpam-3395	5	11	squares	square	NOUN
ejpam-3395	5	12	monte	monte	PROPN
ejpam-3395	5	13	carlo	carlo	PROPN
ejpam-3395	5	14	algorithm	algorithm	PROPN
ejpam-3395	5	15	to	to	PART
ejpam-3395	5	16	produce	produce	VERB
ejpam-3395	5	17	acceptable	acceptable	ADJ
ejpam-3395	5	18	results	result	NOUN
ejpam-3395	5	19	under	under	ADP
ejpam-3395	5	20	the	the	DET
ejpam-3395	5	21	mixed	mixed	ADJ
ejpam-3395	5	22	fractional	fractional	ADJ
ejpam-3395	5	23	heston	heston	PROPN
ejpam-3395	5	24	model	model	NOUN
ejpam-3395	5	25	is	be	AUX
ejpam-3395	5	26	presented	present	VERB
ejpam-3395	5	27	to	to	PART
ejpam-3395	5	28	illustrate	illustrate	VERB
ejpam-3395	5	29	the	the	DET
ejpam-3395	5	30	applicability	applicability	NOUN
ejpam-3395	5	31	of	of	ADP
ejpam-3395	5	32	the	the	DET
ejpam-3395	5	33	theory	theory	NOUN
ejpam-3395	5	34	.	.	PUNCT
ejpam-3395	6	1	the	the	DET
ejpam-3395	6	2	numerical	numerical	ADJ
ejpam-3395	6	3	result	result	PROPN
ejpam-3395	6	4	obtained	obtain	VERB
ejpam-3395	6	5	proves	prove	VERB
ejpam-3395	6	6	the	the	DET
ejpam-3395	6	7	performance	performance	NOUN
ejpam-3395	6	8	of	of	ADP
ejpam-3395	6	9	our	our	PRON
ejpam-3395	6	10	results	result	NOUN
ejpam-3395	6	11	.	.	PUNCT
ejpam-3395	7	1	2010	2010	NUM
ejpam-3395	7	2	mathematics	mathematic	NOUN
ejpam-3395	7	3	subject	subject	NOUN
ejpam-3395	7	4	classifications	classification	NOUN
ejpam-3395	7	5	:	:	PUNCT
ejpam-3395	7	6	60j65	60j65	NOUN
ejpam-3395	7	7	,	,	PUNCT
ejpam-3395	7	8	60g22	60g22	NUM
ejpam-3395	7	9	,	,	PUNCT
ejpam-3395	7	10	60h07	60h07	NUM
ejpam-3395	7	11	,	,	PUNCT
ejpam-3395	7	12	91b25	91b25	NUM
ejpam-3395	7	13	,	,	PUNCT
ejpam-3395	7	14	91b26	91b26	NUM
ejpam-3395	7	15	key	key	ADJ
ejpam-3395	7	16	words	word	NOUN
ejpam-3395	7	17	and	and	CCONJ
ejpam-3395	7	18	phrases	phrase	NOUN
ejpam-3395	7	19	:	:	PUNCT
ejpam-3395	7	20	brownian	brownian	ADJ
ejpam-3395	7	21	motion	motion	NOUN
ejpam-3395	7	22	,	,	PUNCT
ejpam-3395	7	23	fractional	fractional	ADJ
ejpam-3395	7	24	processes	process	NOUN
ejpam-3395	7	25	,	,	PUNCT
ejpam-3395	7	26	mixed	mixed	ADJ
ejpam-3395	7	27	fractional	fractional	ADJ
ejpam-3395	7	28	brownian	brownian	NOUN
ejpam-3395	7	29	,	,	PUNCT
ejpam-3395	7	30	heston	heston	PROPN
ejpam-3395	7	31	mode	mode	PROPN
ejpam-3395	7	32	,	,	PUNCT
ejpam-3395	7	33	monte	monte	PROPN
ejpam-3395	7	34	carlo	carlo	PROPN
ejpam-3395	7	35	algorithm	algorithm	PROPN
ejpam-3395	7	36	1	1	NUM
ejpam-3395	7	37	.	.	PUNCT
ejpam-3395	7	38	introduction	introduction	NOUN
ejpam-3395	7	39	the	the	DET
ejpam-3395	7	40	fractional	fractional	ADJ
ejpam-3395	7	41	brownian	brownian	ADJ
ejpam-3395	7	42	motion	motion	NOUN
ejpam-3395	7	43	(	(	PUNCT
ejpam-3395	7	44	fbm	fbm	NOUN
ejpam-3395	7	45	)	)	PUNCT
ejpam-3395	7	46	bh	bh	NOUN
ejpam-3395	7	47	=	=	PRON
ejpam-3395	7	48	{	{	PUNCT
ejpam-3395	7	49	bh	bh	PROPN
ejpam-3395	7	50	t	t	PROPN
ejpam-3395	7	51	,	,	PUNCT
ejpam-3395	7	52	t	t	PROPN
ejpam-3395	7	53	∈	∈	PROPN
ejpam-3395	8	1	[	[	X
ejpam-3395	8	2	0	0	NUM
ejpam-3395	8	3	,	,	PUNCT
ejpam-3395	8	4	t	t	X
ejpam-3395	8	5	]	]	PUNCT
ejpam-3395	8	6	}	}	PUNCT
ejpam-3395	8	7	with	with	ADP
ejpam-3395	8	8	hurst	hurst	PROPN
ejpam-3395	8	9	parameter	parameter	PROPN
ejpam-3395	8	10	h	h	PROPN
ejpam-3395	8	11	∈	∈	PROPN
ejpam-3395	8	12	(	(	PUNCT
ejpam-3395	8	13	0	0	NUM
ejpam-3395	8	14	,	,	PUNCT
ejpam-3395	8	15	1	1	NUM
ejpam-3395	8	16	)	)	PUNCT
ejpam-3395	8	17	is	be	AUX
ejpam-3395	8	18	a	a	DET
ejpam-3395	8	19	gaussian	gaussian	ADJ
ejpam-3395	8	20	self	self	NOUN
ejpam-3395	8	21	-	-	PUNCT
ejpam-3395	8	22	similar	similar	ADJ
ejpam-3395	8	23	process	process	NOUN
ejpam-3395	8	24	with	with	ADP
ejpam-3395	8	25	stationary	stationary	ADJ
ejpam-3395	8	26	increments	increment	NOUN
ejpam-3395	8	27	.	.	PUNCT
ejpam-3395	9	1	this	this	DET
ejpam-3395	9	2	process	process	NOUN
ejpam-3395	9	3	was	be	AUX
ejpam-3395	9	4	introduced	introduce	VERB
ejpam-3395	9	5	by	by	ADP
ejpam-3395	9	6	[	[	X
ejpam-3395	9	7	18	18	NUM
ejpam-3395	9	8	]	]	PUNCT
ejpam-3395	9	9	and	and	CCONJ
ejpam-3395	9	10	studied	study	VERB
ejpam-3395	9	11	by	by	ADP
ejpam-3395	9	12	[	[	X
ejpam-3395	9	13	23	23	NUM
ejpam-3395	9	14	]	]	PUNCT
ejpam-3395	9	15	,	,	PUNCT
ejpam-3395	9	16	where	where	SCONJ
ejpam-3395	9	17	a	a	DET
ejpam-3395	9	18	stochastic	stochastic	ADJ
ejpam-3395	9	19	integral	integral	ADJ
ejpam-3395	9	20	representation	representation	NOUN
ejpam-3395	9	21	in	in	ADP
ejpam-3395	9	22	terms	term	NOUN
ejpam-3395	9	23	of	of	ADP
ejpam-3395	9	24	a	a	DET
ejpam-3395	9	25	standard	standard	ADJ
ejpam-3395	9	26	brownian	brownian	ADJ
ejpam-3395	9	27	motion	motion	NOUN
ejpam-3395	9	28	(	(	PUNCT
ejpam-3395	9	29	bm	bm	PROPN
ejpam-3395	9	30	for	for	ADP
ejpam-3395	9	31	short	short	ADJ
ejpam-3395	9	32	)	)	PUNCT
ejpam-3395	9	33	was	be	AUX
ejpam-3395	9	34	established	establish	VERB
ejpam-3395	9	35	.	.	PUNCT
ejpam-3395	10	1	the	the	DET
ejpam-3395	10	2	parameter	parameter	NOUN
ejpam-3395	10	3	h	h	PROPN
ejpam-3395	10	4	is	be	AUX
ejpam-3395	10	5	called	call	VERB
ejpam-3395	10	6	hurst	hurst	PROPN
ejpam-3395	10	7	index	index	NOUN
ejpam-3395	10	8	from	from	ADP
ejpam-3395	10	9	the	the	DET
ejpam-3395	10	10	statistical	statistical	ADJ
ejpam-3395	10	11	analysis	analysis	NOUN
ejpam-3395	10	12	,	,	PUNCT
ejpam-3395	10	13	developed	develop	VERB
ejpam-3395	10	14	by	by	ADP
ejpam-3395	10	15	the	the	DET
ejpam-3395	10	16	climatologist	climatologist	NOUN
ejpam-3395	10	17	[	[	X
ejpam-3395	10	18	17	17	NUM
ejpam-3395	10	19	]	]	PUNCT
ejpam-3395	10	20	.	.	PUNCT
ejpam-3395	11	1	the	the	DET
ejpam-3395	11	2	self	self	NOUN
ejpam-3395	11	3	-	-	PUNCT
ejpam-3395	11	4	similarity	similarity	NOUN
ejpam-3395	11	5	and	and	CCONJ
ejpam-3395	11	6	stationary	stationary	ADJ
ejpam-3395	11	7	increments	increment	NOUN
ejpam-3395	11	8	properties	property	NOUN
ejpam-3395	11	9	make	make	VERB
ejpam-3395	11	10	the	the	DET
ejpam-3395	11	11	fbm	fbm	NOUN
ejpam-3395	11	12	an	an	DET
ejpam-3395	11	13	appropriate	appropriate	ADJ
ejpam-3395	11	14	model	model	NOUN
ejpam-3395	11	15	for	for	ADP
ejpam-3395	11	16	many	many	ADJ
ejpam-3395	11	17	applications	application	NOUN
ejpam-3395	11	18	in	in	ADP
ejpam-3395	11	19	diverse	diverse	ADJ
ejpam-3395	11	20	fields	field	NOUN
ejpam-3395	11	21	from	from	ADP
ejpam-3395	11	22	biology	biology	NOUN
ejpam-3395	11	23	to	to	PART
ejpam-3395	11	24	finance	finance	VERB
ejpam-3395	11	25	[	[	X
ejpam-3395	11	26	19	19	NUM
ejpam-3395	11	27	]	]	PUNCT
ejpam-3395	11	28	,	,	PUNCT
ejpam-3395	11	29	[	[	X
ejpam-3395	11	30	22	22	NUM
ejpam-3395	11	31	]	]	PUNCT
ejpam-3395	11	32	.	.	PUNCT
ejpam-3395	12	1	if	if	SCONJ
ejpam-3395	12	2	h	h	PROPN
ejpam-3395	12	3	6=	6=	NOUN
ejpam-3395	12	4	1	1	NUM
ejpam-3395	12	5	2	2	NUM
ejpam-3395	12	6	,	,	PUNCT
ejpam-3395	12	7	the	the	DET
ejpam-3395	12	8	process	process	NOUN
ejpam-3395	12	9	bh	bh	PROPN
ejpam-3395	12	10	t	t	PROPN
ejpam-3395	12	11	is	be	AUX
ejpam-3395	12	12	neither	neither	CCONJ
ejpam-3395	12	13	a	a	DET
ejpam-3395	12	14	semimartingale	semimartingale	NOUN
ejpam-3395	12	15	,	,	PUNCT
ejpam-3395	12	16	nor	nor	CCONJ
ejpam-3395	12	17	markovian	markovian	ADJ
ejpam-3395	12	18	process	process	NOUN
ejpam-3395	12	19	.	.	PUNCT
ejpam-3395	13	1	therefore	therefore	ADV
ejpam-3395	13	2	,	,	PUNCT
ejpam-3395	13	3	the	the	DET
ejpam-3395	13	4	classical	classical	ADJ
ejpam-3395	13	5	ito	ito	PROPN
ejpam-3395	13	6	calculus	calculus	NOUN
ejpam-3395	13	7	can	can	AUX
ejpam-3395	13	8	not	not	PART
ejpam-3395	13	9	be	be	AUX
ejpam-3395	13	10	used	use	VERB
ejpam-3395	13	11	to	to	PART
ejpam-3395	13	12	analyze	analyze	VERB
ejpam-3395	13	13	the	the	DET
ejpam-3395	13	14	fbm	fbm	NOUN
ejpam-3395	13	15	process	process	NOUN
ejpam-3395	13	16	.	.	PUNCT
ejpam-3395	14	1	in	in	ADP
ejpam-3395	14	2	order	order	NOUN
ejpam-3395	14	3	to	to	PART
ejpam-3395	14	4	overcome	overcome	VERB
ejpam-3395	14	5	this	this	DET
ejpam-3395	14	6	problem	problem	NOUN
ejpam-3395	14	7	,	,	PUNCT
ejpam-3395	14	8	we	we	PRON
ejpam-3395	14	9	use	use	VERB
ejpam-3395	14	10	a	a	DET
ejpam-3395	14	11	mixed	mixed	ADJ
ejpam-3395	14	12	fractional	fractional	ADJ
ejpam-3395	14	13	brownian	brownian	ADJ
ejpam-3395	14	14	motion	motion	NOUN
ejpam-3395	14	15	(	(	PUNCT
ejpam-3395	14	16	mfbm	mfbm	NOUN
ejpam-3395	14	17	for	for	ADP
ejpam-3395	14	18	short	short	ADJ
ejpam-3395	14	19	)	)	PUNCT
ejpam-3395	14	20	with	with	ADP
ejpam-3395	14	21	a	a	DET
ejpam-3395	14	22	,	,	PUNCT
ejpam-3395	14	23	b	b	NOUN
ejpam-3395	14	24	and	and	CCONJ
ejpam-3395	14	25	h	h	PROPN
ejpam-3395	14	26	parameters	parameter	NOUN
ejpam-3395	14	27	∗corresponding	∗corresponde	VERB
ejpam-3395	14	28	author	author	NOUN
ejpam-3395	14	29	.	.	PUNCT
ejpam-3395	15	1	doi	doi	NOUN
ejpam-3395	15	2	:	:	PUNCT
ejpam-3395	15	3	https://doi.org/10.29020/nybg.ejpam.v12i2.3395	https://doi.org/10.29020/nybg.ejpam.v12i2.3395	ADJ
ejpam-3395	15	4	email	email	NOUN
ejpam-3395	15	5	addresses	address	NOUN
ejpam-3395	15	6	:	:	PUNCT
ejpam-3395	15	7	didiernjamen1@gmail.com	didiernjamen1@gmail.com	X
ejpam-3395	15	8	(	(	PUNCT
ejpam-3395	15	9	d.	d.	NOUN
ejpam-3395	15	10	a.	a.	PROPN
ejpam-3395	15	11	n.	n.	PROPN
ejpam-3395	15	12	njamen	njamen	PROPN
ejpam-3395	15	13	)	)	PUNCT
ejpam-3395	15	14	,	,	PUNCT
ejpam-3395	15	15	djeutchaeric@yahoo.fr	djeutchaeric@yahoo.fr	PROPN
ejpam-3395	15	16	(	(	PUNCT
ejpam-3395	15	17	e.	e.	PROPN
ejpam-3395	15	18	djeutcha	djeutcha	PROPN
ejpam-3395	15	19	)	)	PUNCT
ejpam-3395	15	20	,	,	PUNCT
ejpam-3395	15	21	lfono2000@yahoo.fr	lfono2000@yahoo.fr	X
ejpam-3395	15	22	(	(	PUNCT
ejpam-3395	15	23	l	l	NOUN
ejpam-3395	15	24	-	-	NOUN
ejpam-3395	15	25	a.	a.	NOUN
ejpam-3395	15	26	fono	fono	PROPN
ejpam-3395	15	27	)	)	PUNCT
ejpam-3395	15	28	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3395	16	1	448	448	NUM
ejpam-3395	16	2	c	c	NOUN
ejpam-3395	16	3	©	©	PROPN
ejpam-3395	16	4	2019	2019	NUM
ejpam-3395	16	5	ejpam	ejpam	NOUN
ejpam-3395	16	6	all	all	DET
ejpam-3395	16	7	rights	right	NOUN
ejpam-3395	16	8	reserved	reserve	VERB
ejpam-3395	16	9	.	.	PUNCT
ejpam-3395	17	1	d.	d.	PROPN
ejpam-3395	17	2	a.	a.	PROPN
ejpam-3395	17	3	n.	n.	PROPN
ejpam-3395	17	4	njamen	njamen	PROPN
ejpam-3395	17	5	,	,	PUNCT
ejpam-3395	17	6	e.	e.	PROPN
ejpam-3395	17	7	djeutcha	djeutcha	PROPN
ejpam-3395	17	8	/	/	SYM
ejpam-3395	17	9	eur	eur	PROPN
ejpam-3395	17	10	.	.	PUNCT
ejpam-3395	18	1	j.	j.	PROPN
ejpam-3395	18	2	pure	pure	PROPN
ejpam-3395	18	3	appl	appl	PROPN
ejpam-3395	18	4	.	.	PROPN
ejpam-3395	18	5	math	math	PROPN
ejpam-3395	18	6	,	,	PUNCT
ejpam-3395	18	7	12	12	NUM
ejpam-3395	18	8	(	(	PUNCT
ejpam-3395	18	9	2	2	NUM
ejpam-3395	18	10	)	)	PUNCT
ejpam-3395	18	11	(	(	PUNCT
ejpam-3395	18	12	2019	2019	NUM
ejpam-3395	18	13	)	)	PUNCT
ejpam-3395	18	14	,	,	PUNCT
ejpam-3395	18	15	448	448	NUM
ejpam-3395	18	16	-	-	SYM
ejpam-3395	18	17	468	468	NUM
ejpam-3395	18	18	449	449	NUM
ejpam-3395	18	19	which	which	PRON
ejpam-3395	18	20	is	be	AUX
ejpam-3395	18	21	a	a	DET
ejpam-3395	18	22	linear	linear	ADJ
ejpam-3395	18	23	combination	combination	NOUN
ejpam-3395	18	24	of	of	ADP
ejpam-3395	18	25	brownian	brownian	ADJ
ejpam-3395	18	26	motion	motion	NOUN
ejpam-3395	18	27	and	and	CCONJ
ejpam-3395	18	28	fractional	fractional	ADJ
ejpam-3395	18	29	brownian	brownian	ADJ
ejpam-3395	18	30	motion	motion	NOUN
ejpam-3395	18	31	with	with	ADP
ejpam-3395	18	32	parameter	parameter	PROPN
ejpam-3395	18	33	h	h	PROPN
ejpam-3395	18	34	,	,	PUNCT
ejpam-3395	18	35	defined	define	VERB
ejpam-3395	18	36	for	for	ADP
ejpam-3395	18	37	any	any	DET
ejpam-3395	18	38	t	t	NOUN
ejpam-3395	18	39	∈	∈	PROPN
ejpam-3395	19	1	[	[	X
ejpam-3395	19	2	0	0	NUM
ejpam-3395	19	3	,	,	PUNCT
ejpam-3395	19	4	t	t	X
ejpam-3395	19	5	]	]	PUNCT
ejpam-3395	19	6	by	by	ADP
ejpam-3395	19	7	:	:	PUNCT
ejpam-3395	19	8	mh	mh	PROPN
ejpam-3395	19	9	t	t	PROPN
ejpam-3395	19	10	=	=	PUNCT
ejpam-3395	19	11	{	{	PUNCT
ejpam-3395	19	12	abt	abt	INTJ
ejpam-3395	19	13	+	+	NUM
ejpam-3395	19	14	bbh	bbh	PROPN
ejpam-3395	19	15	t	t	PROPN
ejpam-3395	19	16	,	,	PUNCT
ejpam-3395	19	17	∀a	∀a	PROPN
ejpam-3395	19	18	,	,	PUNCT
ejpam-3395	19	19	b	b	X
ejpam-3395	19	20	>	>	X
ejpam-3395	19	21	0	0	NUM
ejpam-3395	19	22	}	}	PUNCT
ejpam-3395	19	23	,	,	PUNCT
ejpam-3395	19	24	(	(	PUNCT
ejpam-3395	19	25	1	1	X
ejpam-3395	19	26	)	)	PUNCT
ejpam-3395	19	27	where	where	SCONJ
ejpam-3395	19	28	bh	bh	NOUN
ejpam-3395	19	29	is	be	AUX
ejpam-3395	19	30	the	the	DET
ejpam-3395	19	31	fbm	fbm	NOUN
ejpam-3395	19	32	with	with	ADP
ejpam-3395	19	33	hurst	hurst	PROPN
ejpam-3395	19	34	parameter	parameter	PROPN
ejpam-3395	19	35	h	h	PROPN
ejpam-3395	19	36	∈	∈	PROPN
ejpam-3395	19	37	(	(	PUNCT
ejpam-3395	19	38	0	0	NUM
ejpam-3395	19	39	,	,	PUNCT
ejpam-3395	19	40	1	1	NUM
ejpam-3395	19	41	)	)	PUNCT
ejpam-3395	19	42	.	.	PUNCT
ejpam-3395	20	1	[	[	X
ejpam-3395	20	2	10	10	NUM
ejpam-3395	20	3	]	]	PUNCT
ejpam-3395	20	4	proved	prove	VERB
ejpam-3395	20	5	that	that	SCONJ
ejpam-3395	20	6	the	the	DET
ejpam-3395	20	7	mfbm	mfbm	PROPN
ejpam-3395	20	8	process	process	NOUN
ejpam-3395	20	9	with	with	ADP
ejpam-3395	20	10	hurst	hurst	PROPN
ejpam-3395	20	11	parameter	parameter	PROPN
ejpam-3395	20	12	h	h	PROPN
ejpam-3395	20	13	∈]34	∈]34	PROPN
ejpam-3395	20	14	,	,	PUNCT
ejpam-3395	20	15	1	1	NUM
ejpam-3395	20	16	[	[	PUNCT
ejpam-3395	20	17	is	be	AUX
ejpam-3395	20	18	equivalent	equivalent	ADJ
ejpam-3395	20	19	to	to	ADP
ejpam-3395	20	20	a	a	DET
ejpam-3395	20	21	martingale	martingale	NOUN
ejpam-3395	20	22	abt	abt	INTJ
ejpam-3395	21	1	and	and	CCONJ
ejpam-3395	21	2	hence	hence	ADV
ejpam-3395	21	3	it	it	PRON
ejpam-3395	21	4	is	be	AUX
ejpam-3395	21	5	arbitrage	arbitrage	NOUN
ejpam-3395	21	6	-	-	PUNCT
ejpam-3395	21	7	free	free	ADJ
ejpam-3395	21	8	.	.	PUNCT
ejpam-3395	22	1	let	let	VERB
ejpam-3395	22	2	t	t	PROPN
ejpam-3395	22	3	>	>	X
ejpam-3395	22	4	0	0	PUNCT
ejpam-3395	22	5	be	be	AUX
ejpam-3395	22	6	a	a	DET
ejpam-3395	22	7	fixed	fix	VERB
ejpam-3395	22	8	time	time	NOUN
ejpam-3395	22	9	and	and	CCONJ
ejpam-3395	22	10	(	(	PUNCT
ejpam-3395	22	11	ω	ω	PROPN
ejpam-3395	22	12	,	,	PUNCT
ejpam-3395	22	13	f	f	PROPN
ejpam-3395	22	14	,	,	PUNCT
ejpam-3395	22	15	(	(	PUNCT
ejpam-3395	22	16	ft)t∈[0,t	ft)t∈[0,t	NOUN
ejpam-3395	22	17	]	]	X
ejpam-3395	22	18	,	,	PUNCT
ejpam-3395	22	19	p	p	X
ejpam-3395	22	20	)	)	PUNCT
ejpam-3395	22	21	be	be	AUX
ejpam-3395	22	22	a	a	DET
ejpam-3395	22	23	given	give	VERB
ejpam-3395	22	24	filtered	filter	VERB
ejpam-3395	22	25	complete	complete	ADJ
ejpam-3395	22	26	probability	probability	NOUN
ejpam-3395	22	27	space	space	NOUN
ejpam-3395	22	28	with	with	ADP
ejpam-3395	22	29	(	(	PUNCT
ejpam-3395	22	30	ft)t∈[0,t	ft)t∈[0,t	NOUN
ejpam-3395	22	31	]	]	PUNCT
ejpam-3395	22	32	being	be	AUX
ejpam-3395	22	33	a	a	DET
ejpam-3395	22	34	filtration	filtration	NOUN
ejpam-3395	22	35	that	that	PRON
ejpam-3395	22	36	satisfies	satisfy	VERB
ejpam-3395	22	37	the	the	DET
ejpam-3395	22	38	usual	usual	ADJ
ejpam-3395	22	39	hypothesis	hypothesis	NOUN
ejpam-3395	22	40	.	.	PUNCT
ejpam-3395	23	1	the	the	DET
ejpam-3395	23	2	aim	aim	NOUN
ejpam-3395	23	3	of	of	ADP
ejpam-3395	23	4	this	this	DET
ejpam-3395	23	5	paper	paper	NOUN
ejpam-3395	23	6	is	be	AUX
ejpam-3395	23	7	to	to	PART
ejpam-3395	23	8	study	study	VERB
ejpam-3395	23	9	the	the	DET
ejpam-3395	23	10	following	follow	VERB
ejpam-3395	23	11	stochastic	stochastic	ADJ
ejpam-3395	23	12	differential	differential	ADJ
ejpam-3395	23	13	equation	equation	NOUN
ejpam-3395	23	14	(	(	PUNCT
ejpam-3395	23	15	sde	sde	PROPN
ejpam-3395	23	16	for	for	ADP
ejpam-3395	23	17	short	short	ADJ
ejpam-3395	23	18	)	)	PUNCT
ejpam-3395	23	19	on	on	ADP
ejpam-3395	23	20	rn	rn	PROPN
ejpam-3395	23	21	dx(t	dx(t	PROPN
ejpam-3395	23	22	)	)	PUNCT
ejpam-3395	23	23	=	=	PUNCT
ejpam-3395	23	24	µ(t	µ(t	ADJ
ejpam-3395	23	25	,	,	PUNCT
ejpam-3395	23	26	x(t))dt+	x(t))dt+	PUNCT
ejpam-3395	23	27	σ(t	σ(t	NOUN
ejpam-3395	23	28	,	,	PUNCT
ejpam-3395	23	29	x(t))dmh	x(t))dmh	PROPN
ejpam-3395	23	30	t	t	PROPN
ejpam-3395	23	31	.	.	PUNCT
ejpam-3395	24	1	(	(	PUNCT
ejpam-3395	24	2	2	2	X
ejpam-3395	24	3	)	)	PUNCT
ejpam-3395	24	4	on	on	ADP
ejpam-3395	24	5	most	most	ADJ
ejpam-3395	24	6	occasions	occasion	NOUN
ejpam-3395	24	7	,	,	PUNCT
ejpam-3395	24	8	the	the	DET
ejpam-3395	24	9	coefficients	coefficient	NOUN
ejpam-3395	24	10	of	of	ADP
ejpam-3395	24	11	sdes	sde	NOUN
ejpam-3395	24	12	driven	drive	VERB
ejpam-3395	24	13	by	by	ADP
ejpam-3395	24	14	mfbm	mfbm	NOUN
ejpam-3395	24	15	are	be	AUX
ejpam-3395	24	16	assumed	assume	VERB
ejpam-3395	24	17	to	to	PART
ejpam-3395	24	18	satisfy	satisfy	VERB
ejpam-3395	24	19	the	the	DET
ejpam-3395	24	20	lipschitz	lipschitz	NOUN
ejpam-3395	24	21	condition	condition	NOUN
ejpam-3395	24	22	.	.	PUNCT
ejpam-3395	25	1	the	the	DET
ejpam-3395	25	2	existence	existence	NOUN
ejpam-3395	25	3	and	and	CCONJ
ejpam-3395	25	4	uniqueness	uniqueness	NOUN
ejpam-3395	25	5	of	of	ADP
ejpam-3395	25	6	solutions	solution	NOUN
ejpam-3395	25	7	of	of	ADP
ejpam-3395	25	8	sdes	sde	NOUN
ejpam-3395	25	9	driven	drive	VERB
ejpam-3395	25	10	by	by	ADP
ejpam-3395	25	11	fbm	fbm	NOUN
ejpam-3395	25	12	with	with	ADP
ejpam-3395	25	13	lipschitz	lipschitz	NOUN
ejpam-3395	25	14	condition	condition	NOUN
ejpam-3395	25	15	have	have	AUX
ejpam-3395	25	16	been	be	AUX
ejpam-3395	25	17	studied	study	VERB
ejpam-3395	25	18	in	in	ADP
ejpam-3395	25	19	[	[	X
ejpam-3395	25	20	13	13	NUM
ejpam-3395	25	21	]	]	PUNCT
ejpam-3395	25	22	,	,	PUNCT
ejpam-3395	25	23	[	[	X
ejpam-3395	25	24	11	11	NUM
ejpam-3395	25	25	]	]	PUNCT
ejpam-3395	25	26	.	.	PUNCT
ejpam-3395	26	1	fortunately	fortunately	ADV
ejpam-3395	26	2	,	,	PUNCT
ejpam-3395	26	3	many	many	ADJ
ejpam-3395	26	4	researchers	researcher	NOUN
ejpam-3395	26	5	have	have	AUX
ejpam-3395	26	6	investigated	investigate	VERB
ejpam-3395	26	7	the	the	DET
ejpam-3395	26	8	sdes	sde	NOUN
ejpam-3395	26	9	under	under	ADP
ejpam-3395	26	10	non	non	ADJ
ejpam-3395	26	11	-	-	ADJ
ejpam-3395	26	12	lipschitz	lipschitz	ADJ
ejpam-3395	26	13	condition	condition	NOUN
ejpam-3395	26	14	and	and	CCONJ
ejpam-3395	26	15	they	they	PRON
ejpam-3395	26	16	presented	present	VERB
ejpam-3395	26	17	many	many	ADJ
ejpam-3395	26	18	meaningful	meaningful	ADJ
ejpam-3395	26	19	results	result	NOUN
ejpam-3395	26	20	[	[	X
ejpam-3395	26	21	31	31	NUM
ejpam-3395	26	22	]	]	PUNCT
ejpam-3395	26	23	,	,	PUNCT
ejpam-3395	26	24	[	[	X
ejpam-3395	26	25	5	5	NUM
ejpam-3395	26	26	]	]	PUNCT
ejpam-3395	26	27	,	,	PUNCT
ejpam-3395	26	28	[	[	X
ejpam-3395	26	29	29	29	NUM
ejpam-3395	26	30	,	,	PUNCT
ejpam-3395	26	31	30	30	NUM
ejpam-3395	26	32	]	]	PUNCT
ejpam-3395	26	33	.	.	PUNCT
ejpam-3395	27	1	but	but	CCONJ
ejpam-3395	27	2	,	,	PUNCT
ejpam-3395	27	3	to	to	ADP
ejpam-3395	27	4	the	the	DET
ejpam-3395	27	5	best	good	ADJ
ejpam-3395	27	6	of	of	ADP
ejpam-3395	27	7	our	our	PRON
ejpam-3395	27	8	knowledge	knowledge	NOUN
ejpam-3395	27	9	,	,	PUNCT
ejpam-3395	27	10	the	the	DET
ejpam-3395	27	11	existence	existence	NOUN
ejpam-3395	27	12	and	and	CCONJ
ejpam-3395	27	13	uniqueness	uniqueness	NOUN
ejpam-3395	27	14	of	of	ADP
ejpam-3395	27	15	solutions	solution	NOUN
ejpam-3395	27	16	of	of	ADP
ejpam-3395	27	17	sdes	sde	NOUN
ejpam-3395	27	18	driven	drive	VERB
ejpam-3395	27	19	by	by	ADP
ejpam-3395	27	20	mfbm	mfbm	NOUN
ejpam-3395	27	21	with	with	ADP
ejpam-3395	27	22	a	a	DET
ejpam-3395	27	23	non	non	ADJ
ejpam-3395	27	24	-	-	ADJ
ejpam-3395	27	25	lipschitz	lipschitz	ADJ
ejpam-3395	27	26	condition	condition	NOUN
ejpam-3395	27	27	have	have	AUX
ejpam-3395	27	28	not	not	PART
ejpam-3395	27	29	been	be	AUX
ejpam-3395	27	30	considered	consider	VERB
ejpam-3395	27	31	.	.	PUNCT
ejpam-3395	28	1	this	this	DET
ejpam-3395	28	2	point	point	NOUN
ejpam-3395	28	3	motivates	motivate	VERB
ejpam-3395	28	4	us	we	PRON
ejpam-3395	28	5	to	to	PART
ejpam-3395	28	6	carry	carry	VERB
ejpam-3395	28	7	out	out	ADP
ejpam-3395	28	8	the	the	DET
ejpam-3395	28	9	present	present	ADJ
ejpam-3395	28	10	study	study	NOUN
ejpam-3395	28	11	.	.	PUNCT
ejpam-3395	29	1	in	in	ADP
ejpam-3395	29	2	the	the	DET
ejpam-3395	29	3	present	present	ADJ
ejpam-3395	29	4	paper	paper	NOUN
ejpam-3395	29	5	,	,	PUNCT
ejpam-3395	29	6	we	we	PRON
ejpam-3395	29	7	discuss	discuss	VERB
ejpam-3395	29	8	the	the	DET
ejpam-3395	29	9	sdes	sde	NOUN
ejpam-3395	29	10	with	with	ADP
ejpam-3395	29	11	mfbm	mfbm	NOUN
ejpam-3395	29	12	under	under	ADP
ejpam-3395	29	13	the	the	DET
ejpam-3395	29	14	non	non	ADJ
ejpam-3395	29	15	-	-	ADJ
ejpam-3395	29	16	lipschitz	lipschitz	ADJ
ejpam-3395	29	17	condition	condition	NOUN
ejpam-3395	29	18	.	.	PUNCT
ejpam-3395	30	1	using	use	VERB
ejpam-3395	30	2	the	the	DET
ejpam-3395	30	3	successive	successive	ADJ
ejpam-3395	30	4	approximation	approximation	NOUN
ejpam-3395	30	5	method	method	NOUN
ejpam-3395	30	6	,	,	PUNCT
ejpam-3395	30	7	the	the	DET
ejpam-3395	30	8	existence	existence	NOUN
ejpam-3395	30	9	and	and	CCONJ
ejpam-3395	30	10	uniqueness	uniqueness	ADJ
ejpam-3395	30	11	theorems	theorem	NOUN
ejpam-3395	30	12	of	of	ADP
ejpam-3395	30	13	solutions	solution	NOUN
ejpam-3395	30	14	to	to	ADP
ejpam-3395	30	15	the	the	DET
ejpam-3395	30	16	following	follow	VERB
ejpam-3395	30	17	non	non	ADJ
ejpam-3395	30	18	-	-	ADJ
ejpam-3395	30	19	lipschitz	lipschitz	ADJ
ejpam-3395	30	20	sdes	sde	NOUN
ejpam-3395	30	21	driven	drive	VERB
ejpam-3395	30	22	by	by	ADP
ejpam-3395	30	23	mfbm	mfbm	NOUN
ejpam-3395	30	24	are	be	AUX
ejpam-3395	30	25	proved	prove	VERB
ejpam-3395	30	26	:	:	PUNCT
ejpam-3395	30	27	x(t	x(t	PROPN
ejpam-3395	30	28	)	)	PUNCT
ejpam-3395	31	1	=	=	PUNCT
ejpam-3395	32	1	x0	x0	PROPN
ejpam-3395	33	1	+	+	CCONJ
ejpam-3395	34	1	∫	∫	PROPN
ejpam-3395	34	2	t	t	NOUN
ejpam-3395	34	3	0	0	NUM
ejpam-3395	34	4	µ(s	µ(	NOUN
ejpam-3395	34	5	,	,	PUNCT
ejpam-3395	34	6	x(s))ds+	x(s))ds+	PROPN
ejpam-3395	35	1	∫	∫	PROPN
ejpam-3395	35	2	t	t	PROPN
ejpam-3395	35	3	0	0	NUM
ejpam-3395	35	4	σ1(s	σ1(s	PROPN
ejpam-3395	35	5	,	,	PUNCT
ejpam-3395	35	6	x(s))dbs	x(s))dbs	PUNCT
ejpam-3395	36	1	+	+	CCONJ
ejpam-3395	36	2	∫	∫	PROPN
ejpam-3395	36	3	t	t	PROPN
ejpam-3395	36	4	0	0	NUM
ejpam-3395	36	5	σ2(s	σ2(s	PROPN
ejpam-3395	36	6	,	,	PUNCT
ejpam-3395	36	7	x(s))dbhs	x(s))dbhs	PROPN
ejpam-3395	36	8	,	,	PUNCT
ejpam-3395	36	9	(	(	PUNCT
ejpam-3395	36	10	3	3	X
ejpam-3395	36	11	)	)	PUNCT
ejpam-3395	36	12	where	where	SCONJ
ejpam-3395	36	13	t	t	PROPN
ejpam-3395	36	14	∈	∈	PROPN
ejpam-3395	37	1	[	[	X
ejpam-3395	37	2	0	0	NUM
ejpam-3395	37	3	,	,	PUNCT
ejpam-3395	37	4	t	t	X
ejpam-3395	37	5	]	]	PUNCT
ejpam-3395	37	6	,	,	PUNCT
ejpam-3395	37	7	x0	x0	PROPN
ejpam-3395	37	8	=	=	PUNCT
ejpam-3395	37	9	ξ	ξ	PROPN
ejpam-3395	37	10	∈	∈	PROPN
ejpam-3395	37	11	rn	rn	PROPN
ejpam-3395	37	12	is	be	AUX
ejpam-3395	37	13	a	a	DET
ejpam-3395	37	14	random	random	ADJ
ejpam-3395	37	15	variable	variable	NOUN
ejpam-3395	37	16	,	,	PUNCT
ejpam-3395	37	17	0	0	NUM
ejpam-3395	37	18	≤	≤	NOUN
ejpam-3395	37	19	t	t	X
ejpam-3395	37	20	<	<	X
ejpam-3395	37	21	∞	∞	PROPN
ejpam-3395	37	22	,	,	PUNCT
ejpam-3395	37	23	the	the	DET
ejpam-3395	37	24	process	process	NOUN
ejpam-3395	37	25	b	b	AUX
ejpam-3395	37	26	represent	represent	VERB
ejpam-3395	37	27	a	a	DET
ejpam-3395	37	28	m	m	ADJ
ejpam-3395	37	29	-	-	ADJ
ejpam-3395	37	30	dimensional	dimensional	ADJ
ejpam-3395	37	31	standard	standard	ADJ
ejpam-3395	37	32	ft	ft	NOUN
ejpam-3395	37	33	-	-	PUNCT
ejpam-3395	37	34	brownian	brownian	ADJ
ejpam-3395	37	35	motion	motion	NOUN
ejpam-3395	37	36	and	and	CCONJ
ejpam-3395	37	37	the	the	DET
ejpam-3395	37	38	process	process	NOUN
ejpam-3395	37	39	bh	bh	NOUN
ejpam-3395	37	40	represent	represent	VERB
ejpam-3395	37	41	a	a	DET
ejpam-3395	37	42	d	d	ADJ
ejpam-3395	37	43	-	-	ADJ
ejpam-3395	37	44	dimensional	dimensional	ADJ
ejpam-3395	37	45	ft	ft	NOUN
ejpam-3395	37	46	-	-	PUNCT
ejpam-3395	37	47	adapted	adapt	VERB
ejpam-3395	37	48	fractional	fractional	ADJ
ejpam-3395	37	49	brownian	brownian	ADJ
ejpam-3395	37	50	motion	motion	NOUN
ejpam-3395	37	51	with	with	ADP
ejpam-3395	37	52	the	the	DET
ejpam-3395	37	53	hurst	hurst	PROPN
ejpam-3395	37	54	index	index	PROPN
ejpam-3395	37	55	h	h	PROPN
ejpam-3395	37	56	∈	∈	PROPN
ejpam-3395	37	57	(	(	PUNCT
ejpam-3395	37	58	3	3	NUM
ejpam-3395	37	59	4	4	NUM
ejpam-3395	37	60	,	,	PUNCT
ejpam-3395	37	61	1	1	NUM
ejpam-3395	37	62	)	)	PUNCT
ejpam-3395	37	63	defined	define	VERB
ejpam-3395	37	64	in	in	ADP
ejpam-3395	37	65	a	a	DET
ejpam-3395	37	66	same	same	ADJ
ejpam-3395	37	67	complete	complete	ADJ
ejpam-3395	37	68	probability	probability	NOUN
ejpam-3395	37	69	space	space	NOUN
ejpam-3395	37	70	(	(	PUNCT
ejpam-3395	37	71	ω	ω	PROPN
ejpam-3395	37	72	,	,	PUNCT
ejpam-3395	37	73	f	f	PROPN
ejpam-3395	37	74	,	,	PUNCT
ejpam-3395	37	75	p	p	NOUN
ejpam-3395	37	76	)	)	PUNCT
ejpam-3395	37	77	,	,	PUNCT
ejpam-3395	37	78	and	and	CCONJ
ejpam-3395	37	79	µ(t	µ(t	ADJ
ejpam-3395	37	80	,	,	PUNCT
ejpam-3395	37	81	x(t))[0	x(t))[0	PROPN
ejpam-3395	37	82	,	,	PUNCT
ejpam-3395	37	83	t	t	X
ejpam-3395	37	84	]	]	PUNCT
ejpam-3395	37	85	×	×	NOUN
ejpam-3395	37	86	r	r	NOUN
ejpam-3395	37	87	→	→	SYM
ejpam-3395	37	88	r	r	NOUN
ejpam-3395	37	89	,	,	PUNCT
ejpam-3395	37	90	σ1(t	σ1(t	PROPN
ejpam-3395	37	91	,	,	PUNCT
ejpam-3395	37	92	x(t	x(t	PROPN
ejpam-3395	37	93	)	)	PUNCT
ejpam-3395	37	94	)	)	PUNCT
ejpam-3395	37	95	:	:	PUNCT
ejpam-3395	38	1	[	[	X
ejpam-3395	38	2	0	0	NUM
ejpam-3395	38	3	,	,	PUNCT
ejpam-3395	38	4	t	t	X
ejpam-3395	38	5	]	]	PUNCT
ejpam-3395	38	6	×	×	NOUN
ejpam-3395	38	7	r	r	NOUN
ejpam-3395	38	8	→	→	SYM
ejpam-3395	38	9	r	r	NOUN
ejpam-3395	38	10	and	and	CCONJ
ejpam-3395	38	11	σ2(t	σ2(t	PROPN
ejpam-3395	38	12	,	,	PUNCT
ejpam-3395	38	13	x(t	x(t	PROPN
ejpam-3395	38	14	)	)	PUNCT
ejpam-3395	38	15	)	)	PUNCT
ejpam-3395	38	16	:	:	PUNCT
ejpam-3395	39	1	[	[	X
ejpam-3395	39	2	0	0	NUM
ejpam-3395	39	3	,	,	PUNCT
ejpam-3395	39	4	t	t	X
ejpam-3395	39	5	]	]	X
ejpam-3395	39	6	×	×	NOUN
ejpam-3395	39	7	r→	r→	PROPN
ejpam-3395	39	8	r	r	NOUN
ejpam-3395	39	9	are	be	AUX
ejpam-3395	39	10	all	all	PRON
ejpam-3395	39	11	mesurable	mesurable	ADJ
ejpam-3395	39	12	functions	function	NOUN
ejpam-3395	39	13	.	.	PUNCT
ejpam-3395	40	1	the	the	DET
ejpam-3395	40	2	main	main	ADJ
ejpam-3395	40	3	difficulty	difficulty	NOUN
ejpam-3395	40	4	when	when	SCONJ
ejpam-3395	40	5	considering	consider	VERB
ejpam-3395	40	6	equation	equation	NOUN
ejpam-3395	40	7	(	(	PUNCT
ejpam-3395	40	8	3	3	X
ejpam-3395	40	9	)	)	PUNCT
ejpam-3395	40	10	lies	lie	VERB
ejpam-3395	40	11	in	in	ADP
ejpam-3395	40	12	the	the	DET
ejpam-3395	40	13	fact	fact	NOUN
ejpam-3395	40	14	that	that	SCONJ
ejpam-3395	40	15	both	both	DET
ejpam-3395	40	16	stochastic	stochastic	ADJ
ejpam-3395	40	17	integrals	integral	NOUN
ejpam-3395	40	18	are	be	AUX
ejpam-3395	40	19	dealt	deal	VERB
ejpam-3395	40	20	in	in	ADP
ejpam-3395	40	21	different	different	ADJ
ejpam-3395	40	22	ways	way	NOUN
ejpam-3395	40	23	.	.	PUNCT
ejpam-3395	41	1	however	however	ADV
ejpam-3395	41	2	,	,	PUNCT
ejpam-3395	41	3	the	the	DET
ejpam-3395	41	4	integral	integral	ADJ
ejpam-3395	41	5	with	with	ADP
ejpam-3395	41	6	respect	respect	NOUN
ejpam-3395	41	7	to	to	ADP
ejpam-3395	41	8	the	the	DET
ejpam-3395	41	9	bm	bm	PROPN
ejpam-3395	41	10	is	be	AUX
ejpam-3395	41	11	an	an	DET
ejpam-3395	41	12	it	it	PRON
ejpam-3395	41	13	integral	integral	ADJ
ejpam-3395	41	14	,	,	PUNCT
ejpam-3395	41	15	while	while	SCONJ
ejpam-3395	41	16	the	the	DET
ejpam-3395	41	17	integral	integral	ADJ
ejpam-3395	41	18	with	with	ADP
ejpam-3395	41	19	respect	respect	NOUN
ejpam-3395	41	20	to	to	ADP
ejpam-3395	41	21	the	the	DET
ejpam-3395	41	22	fbm	fbm	NOUN
ejpam-3395	41	23	has	have	VERB
ejpam-3395	41	24	to	to	PART
ejpam-3395	41	25	be	be	AUX
ejpam-3395	41	26	understood	understand	VERB
ejpam-3395	41	27	in	in	ADP
ejpam-3395	41	28	the	the	DET
ejpam-3395	41	29	pathwise	pathwise	NOUN
ejpam-3395	41	30	sense	sense	NOUN
ejpam-3395	41	31	.	.	PUNCT
ejpam-3395	42	1	finally	finally	ADV
ejpam-3395	42	2	,	,	PUNCT
ejpam-3395	42	3	using	use	VERB
ejpam-3395	42	4	the	the	DET
ejpam-3395	42	5	lsm	lsm	PROPN
ejpam-3395	42	6	algorithm	algorithm	PROPN
ejpam-3395	42	7	,	,	PUNCT
ejpam-3395	42	8	we	we	PRON
ejpam-3395	42	9	will	will	AUX
ejpam-3395	42	10	calculate	calculate	VERB
ejpam-3395	42	11	the	the	DET
ejpam-3395	42	12	value	value	NOUN
ejpam-3395	42	13	of	of	ADP
ejpam-3395	42	14	the	the	DET
ejpam-3395	42	15	american	american	ADJ
ejpam-3395	42	16	put	put	NOUN
ejpam-3395	42	17	option	option	NOUN
ejpam-3395	42	18	price	price	NOUN
ejpam-3395	42	19	under	under	ADP
ejpam-3395	42	20	the	the	DET
ejpam-3395	42	21	heston	heston	PROPN
ejpam-3395	42	22	model	model	NOUN
ejpam-3395	42	23	governed	govern	VERB
ejpam-3395	42	24	by	by	ADP
ejpam-3395	42	25	mh	mh	PROPN
ejpam-3395	42	26	(	(	PUNCT
ejpam-3395	42	27	mixed	mix	VERB
ejpam-3395	42	28	fractional	fractional	ADJ
ejpam-3395	42	29	heston	heston	PROPN
ejpam-3395	42	30	model	model	NOUN
ejpam-3395	42	31	(	(	PUNCT
ejpam-3395	42	32	in	in	ADP
ejpam-3395	42	33	short	short	ADJ
ejpam-3395	42	34	mfh	mfh	NOUN
ejpam-3395	42	35	)	)	PUNCT
ejpam-3395	42	36	)	)	PUNCT
ejpam-3395	42	37	for	for	ADP
ejpam-3395	42	38	differents	different	NOUN
ejpam-3395	42	39	values	value	NOUN
ejpam-3395	42	40	of	of	ADP
ejpam-3395	42	41	the	the	DET
ejpam-3395	42	42	hurst	hurst	PROPN
ejpam-3395	42	43	parameter	parameter	PROPN
ejpam-3395	42	44	h	h	PROPN
ejpam-3395	42	45	and	and	CCONJ
ejpam-3395	42	46	we	we	PRON
ejpam-3395	42	47	compare	compare	VERB
ejpam-3395	42	48	the	the	DET
ejpam-3395	42	49	result	result	NOUN
ejpam-3395	42	50	with	with	ADP
ejpam-3395	42	51	the	the	DET
ejpam-3395	42	52	value	value	NOUN
ejpam-3395	42	53	of	of	ADP
ejpam-3395	42	54	american	american	ADJ
ejpam-3395	42	55	option	option	NOUN
ejpam-3395	42	56	price	price	NOUN
ejpam-3395	42	57	under	under	ADP
ejpam-3395	42	58	heston	heston	PROPN
ejpam-3395	42	59	model	model	NOUN
ejpam-3395	42	60	(	(	PUNCT
ejpam-3395	42	61	hm	hm	INTJ
ejpam-3395	42	62	)	)	PUNCT
ejpam-3395	42	63	.	.	PUNCT
ejpam-3395	43	1	we	we	PRON
ejpam-3395	43	2	remind	remind	VERB
ejpam-3395	43	3	that	that	SCONJ
ejpam-3395	43	4	in	in	ADP
ejpam-3395	43	5	(	(	PUNCT
ejpam-3395	43	6	3	3	NUM
ejpam-3395	43	7	)	)	PUNCT
ejpam-3395	43	8	,	,	PUNCT
ejpam-3395	43	9	∫	∫	PROPN
ejpam-3395	43	10	t	t	PROPN
ejpam-3395	43	11	0	0	NUM
ejpam-3395	43	12	·	·	PUNCT
ejpam-3395	43	13	dbs	dbs	PROPN
ejpam-3395	43	14	stand	stand	NOUN
ejpam-3395	43	15	for	for	ADP
ejpam-3395	43	16	the	the	DET
ejpam-3395	43	17	stochastic	stochastic	ADJ
ejpam-3395	43	18	integral	integral	ADJ
ejpam-3395	43	19	w.r.t	w.r.t	NOUN
ejpam-3395	43	20	bm,∫	bm,∫	X
ejpam-3395	43	21	t	t	PROPN
ejpam-3395	43	22	0	0	NUM
ejpam-3395	43	23	·	·	PUNCT
ejpam-3395	43	24	dbhs	dbhs	ADJ
ejpam-3395	43	25	stand	stand	VERB
ejpam-3395	43	26	for	for	ADP
ejpam-3395	43	27	the	the	DET
ejpam-3395	43	28	stochastic	stochastic	ADJ
ejpam-3395	43	29	integral	integral	ADJ
ejpam-3395	43	30	w.r.t	w.r.t	ADJ
ejpam-3395	43	31	fbm	fbm	NOUN
ejpam-3395	43	32	.	.	PUNCT
ejpam-3395	44	1	the	the	DET
ejpam-3395	44	2	article	article	NOUN
ejpam-3395	44	3	is	be	AUX
ejpam-3395	44	4	organized	organize	VERB
ejpam-3395	44	5	as	as	SCONJ
ejpam-3395	44	6	follows	follow	VERB
ejpam-3395	44	7	.	.	PUNCT
ejpam-3395	45	1	in	in	ADP
ejpam-3395	45	2	section	section	NOUN
ejpam-3395	45	3	2	2	NUM
ejpam-3395	45	4	,	,	PUNCT
ejpam-3395	45	5	we	we	PRON
ejpam-3395	45	6	recall	recall	VERB
ejpam-3395	45	7	briefly	briefly	ADV
ejpam-3395	45	8	the	the	DET
ejpam-3395	45	9	malliavin	malliavin	PROPN
ejpam-3395	45	10	calculus	calculus	NOUN
ejpam-3395	45	11	in	in	ADP
ejpam-3395	45	12	order	order	NOUN
ejpam-3395	45	13	to	to	PART
ejpam-3395	45	14	define	define	VERB
ejpam-3395	45	15	the	the	DET
ejpam-3395	45	16	integral	integral	ADJ
ejpam-3395	45	17	with	with	ADP
ejpam-3395	45	18	respect	respect	NOUN
ejpam-3395	45	19	to	to	ADP
ejpam-3395	45	20	fbm	fbm	NOUN
ejpam-3395	45	21	and	and	CCONJ
ejpam-3395	45	22	introduce	introduce	VERB
ejpam-3395	45	23	proper	proper	ADJ
ejpam-3395	45	24	normed	normed	ADJ
ejpam-3395	45	25	spaces	space	NOUN
ejpam-3395	45	26	and	and	CCONJ
ejpam-3395	45	27	we	we	PRON
ejpam-3395	45	28	also	also	ADV
ejpam-3395	45	29	state	state	VERB
ejpam-3395	45	30	our	our	PRON
ejpam-3395	45	31	assumptions	assumption	NOUN
ejpam-3395	45	32	on	on	ADP
ejpam-3395	45	33	the	the	DET
ejpam-3395	45	34	coefficients	coefficient	NOUN
ejpam-3395	45	35	µ	µ	NUM
ejpam-3395	45	36	,	,	PUNCT
ejpam-3395	45	37	σ1	σ1	NOUN
ejpam-3395	45	38	and	and	CCONJ
ejpam-3395	45	39	σ2	σ2	NOUN
ejpam-3395	45	40	of	of	ADP
ejpam-3395	45	41	equation	equation	NOUN
ejpam-3395	45	42	(	(	PUNCT
ejpam-3395	45	43	3	3	NUM
ejpam-3395	45	44	)	)	PUNCT
ejpam-3395	45	45	.	.	PUNCT
ejpam-3395	46	1	in	in	ADP
ejpam-3395	46	2	section	section	NOUN
ejpam-3395	46	3	3	3	NUM
ejpam-3395	46	4	,	,	PUNCT
ejpam-3395	46	5	we	we	PRON
ejpam-3395	46	6	give	give	VERB
ejpam-3395	46	7	a	a	DET
ejpam-3395	46	8	version	version	NOUN
ejpam-3395	46	9	of	of	ADP
ejpam-3395	46	10	heston	heston	PROPN
ejpam-3395	46	11	’s	’s	PART
ejpam-3395	46	12	model	model	NOUN
ejpam-3395	46	13	which	which	PRON
ejpam-3395	46	14	the	the	DET
ejpam-3395	46	15	volatility	volatility	NOUN
ejpam-3395	46	16	brownian	brownian	NOUN
ejpam-3395	46	17	and	and	CCONJ
ejpam-3395	46	18	stock	stock	NOUN
ejpam-3395	46	19	price	price	NOUN
ejpam-3395	46	20	brownian	brownian	NOUN
ejpam-3395	46	21	are	be	AUX
ejpam-3395	46	22	replaced	replace	VERB
ejpam-3395	46	23	by	by	ADP
ejpam-3395	46	24	the	the	DET
ejpam-3395	46	25	mixed	mixed	ADJ
ejpam-3395	46	26	fractional	fractional	ADJ
ejpam-3395	46	27	brownian	brownian	ADJ
ejpam-3395	46	28	motion	motion	NOUN
ejpam-3395	46	29	.	.	PUNCT
ejpam-3395	47	1	the	the	DET
ejpam-3395	47	2	main	main	ADJ
ejpam-3395	47	3	existence	existence	NOUN
ejpam-3395	47	4	and	and	CCONJ
ejpam-3395	47	5	uniqueness	uniqueness	NOUN
ejpam-3395	47	6	results	result	NOUN
ejpam-3395	47	7	are	be	AUX
ejpam-3395	47	8	discussed	discuss	VERB
ejpam-3395	47	9	under	under	ADP
ejpam-3395	47	10	the	the	DET
ejpam-3395	47	11	non	non	ADJ
ejpam-3395	47	12	-	-	ADJ
ejpam-3395	47	13	lipschitz	lipschitz	ADJ
ejpam-3395	47	14	condition	condition	NOUN
ejpam-3395	47	15	and	and	CCONJ
ejpam-3395	47	16	simulation	simulation	NOUN
ejpam-3395	47	17	result	result	NOUN
ejpam-3395	47	18	using	use	VERB
ejpam-3395	47	19	the	the	DET
ejpam-3395	47	20	d.	d.	PROPN
ejpam-3395	47	21	a.	a.	PROPN
ejpam-3395	47	22	n.	n.	PROPN
ejpam-3395	47	23	njamen	njamen	PROPN
ejpam-3395	47	24	,	,	PUNCT
ejpam-3395	47	25	e.	e.	PROPN
ejpam-3395	47	26	djeutcha	djeutcha	PROPN
ejpam-3395	47	27	/	/	SYM
ejpam-3395	47	28	eur	eur	PROPN
ejpam-3395	47	29	.	.	PUNCT
ejpam-3395	48	1	j.	j.	PROPN
ejpam-3395	48	2	pure	pure	PROPN
ejpam-3395	48	3	appl	appl	PROPN
ejpam-3395	48	4	.	.	PROPN
ejpam-3395	48	5	math	math	PROPN
ejpam-3395	48	6	,	,	PUNCT
ejpam-3395	48	7	12	12	NUM
ejpam-3395	48	8	(	(	PUNCT
ejpam-3395	48	9	2	2	NUM
ejpam-3395	48	10	)	)	PUNCT
ejpam-3395	48	11	(	(	PUNCT
ejpam-3395	48	12	2019	2019	NUM
ejpam-3395	48	13	)	)	PUNCT
ejpam-3395	48	14	,	,	PUNCT
ejpam-3395	48	15	448	448	NUM
ejpam-3395	48	16	-	-	SYM
ejpam-3395	48	17	468	468	NUM
ejpam-3395	48	18	450	450	NUM
ejpam-3395	48	19	discritization	discritization	NOUN
ejpam-3395	48	20	of	of	ADP
ejpam-3395	48	21	euler	euler	PROPN
ejpam-3395	48	22	’s	’s	PART
ejpam-3395	48	23	method	method	NOUN
ejpam-3395	48	24	for	for	ADP
ejpam-3395	48	25	80	80	NUM
ejpam-3395	48	26	simulation	simulation	NOUN
ejpam-3395	48	27	paths	path	NOUN
ejpam-3395	48	28	of	of	ADP
ejpam-3395	48	29	the	the	DET
ejpam-3395	48	30	stock	stock	NOUN
ejpam-3395	48	31	price	price	NOUN
ejpam-3395	48	32	is	be	AUX
ejpam-3395	48	33	provided	provide	VERB
ejpam-3395	48	34	.	.	PUNCT
ejpam-3395	49	1	finally	finally	ADV
ejpam-3395	49	2	,	,	PUNCT
ejpam-3395	49	3	in	in	ADP
ejpam-3395	49	4	section	section	NOUN
ejpam-3395	49	5	4	4	NUM
ejpam-3395	49	6	,	,	PUNCT
ejpam-3395	49	7	we	we	PRON
ejpam-3395	49	8	give	give	VERB
ejpam-3395	49	9	the	the	DET
ejpam-3395	49	10	applicability	applicability	NOUN
ejpam-3395	49	11	of	of	ADP
ejpam-3395	49	12	the	the	DET
ejpam-3395	49	13	general	general	ADJ
ejpam-3395	49	14	theory	theory	NOUN
ejpam-3395	49	15	to	to	PART
ejpam-3395	49	16	calculate	calculate	VERB
ejpam-3395	49	17	the	the	DET
ejpam-3395	49	18	value	value	NOUN
ejpam-3395	49	19	of	of	ADP
ejpam-3395	49	20	american	american	ADJ
ejpam-3395	49	21	put	put	NOUN
ejpam-3395	49	22	option	option	NOUN
ejpam-3395	49	23	price	price	NOUN
ejpam-3395	49	24	under	under	ADP
ejpam-3395	49	25	the	the	DET
ejpam-3395	49	26	mfh	mfh	NOUN
ejpam-3395	49	27	model	model	NOUN
ejpam-3395	49	28	and	and	CCONJ
ejpam-3395	49	29	we	we	PRON
ejpam-3395	49	30	compare	compare	VERB
ejpam-3395	49	31	the	the	DET
ejpam-3395	49	32	result	result	NOUN
ejpam-3395	49	33	with	with	ADP
ejpam-3395	49	34	the	the	DET
ejpam-3395	49	35	value	value	NOUN
ejpam-3395	49	36	of	of	ADP
ejpam-3395	49	37	american	american	ADJ
ejpam-3395	49	38	put	put	NOUN
ejpam-3395	49	39	option	option	NOUN
ejpam-3395	49	40	price	price	NOUN
ejpam-3395	49	41	under	under	ADP
ejpam-3395	49	42	the	the	DET
ejpam-3395	49	43	heston	heston	PROPN
ejpam-3395	49	44	model	model	NOUN
ejpam-3395	49	45	(	(	PUNCT
ejpam-3395	49	46	hm	hm	INTJ
ejpam-3395	49	47	)	)	PUNCT
ejpam-3395	49	48	.	.	PUNCT
ejpam-3395	50	1	2	2	X
ejpam-3395	50	2	.	.	X
ejpam-3395	50	3	preliminaries	preliminary	NOUN
ejpam-3395	50	4	the	the	DET
ejpam-3395	50	5	(	(	PUNCT
ejpam-3395	50	6	elementary	elementary	ADJ
ejpam-3395	50	7	)	)	PUNCT
ejpam-3395	50	8	background	background	NOUN
ejpam-3395	50	9	needed	need	VERB
ejpam-3395	50	10	here	here	ADV
ejpam-3395	50	11	about	about	ADP
ejpam-3395	50	12	the	the	DET
ejpam-3395	50	13	theory	theory	NOUN
ejpam-3395	50	14	of	of	ADP
ejpam-3395	50	15	integral	integral	ADJ
ejpam-3395	50	16	with	with	ADP
ejpam-3395	50	17	respect	respect	NOUN
ejpam-3395	50	18	fbm	fbm	NOUN
ejpam-3395	50	19	[	[	X
ejpam-3395	50	20	26	26	NUM
ejpam-3395	50	21	]	]	PUNCT
ejpam-3395	50	22	,	,	PUNCT
ejpam-3395	50	23	[	[	X
ejpam-3395	50	24	20	20	NUM
ejpam-3395	50	25	]	]	PUNCT
ejpam-3395	50	26	.	.	PUNCT
ejpam-3395	51	1	let	let	VERB
ejpam-3395	51	2	(	(	PUNCT
ejpam-3395	51	3	ω	ω	PROPN
ejpam-3395	51	4	,	,	PUNCT
ejpam-3395	51	5	f	f	PROPN
ejpam-3395	51	6	,	,	PUNCT
ejpam-3395	51	7	p	p	X
ejpam-3395	51	8	)	)	PUNCT
ejpam-3395	51	9	be	be	AUX
ejpam-3395	51	10	a	a	DET
ejpam-3395	51	11	complete	complete	ADJ
ejpam-3395	51	12	filtered	filter	VERB
ejpam-3395	51	13	probability	probability	NOUN
ejpam-3395	51	14	space	space	NOUN
ejpam-3395	51	15	satisfying	satisfy	VERB
ejpam-3395	51	16	the	the	DET
ejpam-3395	51	17	usual	usual	ADJ
ejpam-3395	51	18	assumptions	assumption	NOUN
ejpam-3395	51	19	.	.	PUNCT
ejpam-3395	52	1	we	we	PRON
ejpam-3395	52	2	fix	fix	VERB
ejpam-3395	52	3	some	some	DET
ejpam-3395	52	4	notation	notation	NOUN
ejpam-3395	52	5	throughout	throughout	ADP
ejpam-3395	52	6	the	the	DET
ejpam-3395	52	7	paper	paper	NOUN
ejpam-3395	52	8	|	|	ADV
ejpam-3395	52	9	·	·	PUNCT
ejpam-3395	52	10	|	|	ADV
ejpam-3395	52	11	will	will	AUX
ejpam-3395	52	12	denote	denote	VERB
ejpam-3395	52	13	the	the	DET
ejpam-3395	52	14	absolute	absolute	ADJ
ejpam-3395	52	15	value	value	NOUN
ejpam-3395	52	16	of	of	ADP
ejpam-3395	52	17	a	a	DET
ejpam-3395	52	18	real	real	ADJ
ejpam-3395	52	19	number	number	NOUN
ejpam-3395	52	20	,	,	PUNCT
ejpam-3395	52	21	the	the	DET
ejpam-3395	52	22	euclidean	euclidean	ADJ
ejpam-3395	52	23	norm	norm	NOUN
ejpam-3395	52	24	of	of	ADP
ejpam-3395	52	25	a	a	DET
ejpam-3395	52	26	vector	vector	NOUN
ejpam-3395	52	27	,	,	PUNCT
ejpam-3395	52	28	or	or	CCONJ
ejpam-3395	52	29	the	the	DET
ejpam-3395	52	30	operator	operator	NOUN
ejpam-3395	52	31	norm	norm	NOUN
ejpam-3395	52	32	of	of	ADP
ejpam-3395	52	33	a	a	DET
ejpam-3395	52	34	matrix	matrix	NOUN
ejpam-3395	52	35	.	.	PUNCT
ejpam-3395	53	1	the	the	DET
ejpam-3395	53	2	symbol	symbol	NOUN
ejpam-3395	53	3	k	k	PROPN
ejpam-3395	53	4	will	will	AUX
ejpam-3395	53	5	denote	denote	VERB
ejpam-3395	53	6	a	a	DET
ejpam-3395	53	7	generic	generic	ADJ
ejpam-3395	53	8	constant	constant	ADJ
ejpam-3395	53	9	,	,	PUNCT
ejpam-3395	53	10	whose	whose	DET
ejpam-3395	53	11	value	value	NOUN
ejpam-3395	53	12	may	may	AUX
ejpam-3395	53	13	change	change	VERB
ejpam-3395	53	14	from	from	ADP
ejpam-3395	53	15	one	one	NUM
ejpam-3395	53	16	value	value	NOUN
ejpam-3395	53	17	to	to	ADP
ejpam-3395	53	18	another	another	PRON
ejpam-3395	53	19	.	.	PUNCT
ejpam-3395	54	1	�	�	PROPN
ejpam-3395	54	2	denote	denote	VERB
ejpam-3395	54	3	the	the	DET
ejpam-3395	54	4	wick	wick	NOUN
ejpam-3395	54	5	product	product	NOUN
ejpam-3395	54	6	and	and	CCONJ
ejpam-3395	54	7	is	be	AUX
ejpam-3395	54	8	defined	define	VERB
ejpam-3395	54	9	in	in	ADP
ejpam-3395	54	10	[	[	X
ejpam-3395	54	11	7	7	NUM
ejpam-3395	54	12	]	]	PUNCT
ejpam-3395	54	13	.	.	PUNCT
ejpam-3395	55	1	if	if	SCONJ
ejpam-3395	55	2	a	a	PRON
ejpam-3395	55	3	is	be	AUX
ejpam-3395	55	4	a	a	DET
ejpam-3395	55	5	vector	vector	NOUN
ejpam-3395	55	6	or	or	CCONJ
ejpam-3395	55	7	matrix	matrix	NOUN
ejpam-3395	55	8	,	,	PUNCT
ejpam-3395	55	9	its	its	PRON
ejpam-3395	55	10	transpose	transpose	NOUN
ejpam-3395	55	11	is	be	AUX
ejpam-3395	55	12	denoted	denote	VERB
ejpam-3395	55	13	by	by	ADP
ejpam-3395	55	14	at	at	ADP
ejpam-3395	55	15	.	.	PUNCT
ejpam-3395	56	1	stochastic	stochastic	ADJ
ejpam-3395	56	2	differential	differential	ADJ
ejpam-3395	56	3	equation	equation	NOUN
ejpam-3395	56	4	with	with	ADP
ejpam-3395	56	5	respect	respect	NOUN
ejpam-3395	56	6	to	to	ADP
ejpam-3395	56	7	fbm	fbm	NOUN
ejpam-3395	56	8	have	have	AUX
ejpam-3395	56	9	been	be	AUX
ejpam-3395	56	10	interpreted	interpret	VERB
ejpam-3395	56	11	via	via	ADP
ejpam-3395	56	12	various	various	ADJ
ejpam-3395	56	13	stochastic	stochastic	ADJ
ejpam-3395	56	14	integral	integral	ADJ
ejpam-3395	56	15	,	,	PUNCT
ejpam-3395	56	16	such	such	ADJ
ejpam-3395	56	17	as	as	ADP
ejpam-3395	56	18	the	the	DET
ejpam-3395	56	19	wick	wick	NOUN
ejpam-3395	56	20	-	-	PUNCT
ejpam-3395	56	21	integral	integral	ADJ
ejpam-3395	56	22	,	,	PUNCT
ejpam-3395	56	23	the	the	DET
ejpam-3395	56	24	wiener	wiener	NOUN
ejpam-3395	56	25	integral	integral	ADJ
ejpam-3395	56	26	,	,	PUNCT
ejpam-3395	56	27	the	the	DET
ejpam-3395	56	28	skorohod	skorohod	ADJ
ejpam-3395	56	29	integral	integral	ADJ
ejpam-3395	56	30	,	,	PUNCT
ejpam-3395	56	31	and	and	CCONJ
ejpam-3395	56	32	path	path	NOUN
ejpam-3395	56	33	-	-	PUNCT
ejpam-3395	56	34	wise	wise	ADJ
ejpam-3395	56	35	integral	integral	ADJ
ejpam-3395	56	36	[	[	X
ejpam-3395	56	37	26	26	NUM
ejpam-3395	56	38	]	]	PUNCT
ejpam-3395	56	39	,	,	PUNCT
ejpam-3395	57	1	[	[	X
ejpam-3395	57	2	14],[2	14],[2	NUM
ejpam-3395	57	3	,	,	PUNCT
ejpam-3395	57	4	3	3	NUM
ejpam-3395	57	5	]	]	PUNCT
ejpam-3395	57	6	,	,	PUNCT
ejpam-3395	58	1	[	[	X
ejpam-3395	58	2	9	9	NUM
ejpam-3395	58	3	]	]	PUNCT
ejpam-3395	58	4	,	,	PUNCT
ejpam-3395	58	5	[	[	X
ejpam-3395	58	6	25	25	NUM
ejpam-3395	58	7	]	]	PUNCT
ejpam-3395	58	8	.	.	PUNCT
ejpam-3395	59	1	in	in	ADP
ejpam-3395	59	2	this	this	DET
ejpam-3395	59	3	paper	paper	NOUN
ejpam-3395	59	4	,	,	PUNCT
ejpam-3395	59	5	we	we	PRON
ejpam-3395	59	6	consider	consider	VERB
ejpam-3395	59	7	the	the	DET
ejpam-3395	59	8	path	path	NOUN
ejpam-3395	59	9	-	-	PUNCT
ejpam-3395	59	10	wise	wise	ADJ
ejpam-3395	59	11	integral	integral	ADJ
ejpam-3395	59	12	with	with	ADP
ejpam-3395	59	13	respect	respect	NOUN
ejpam-3395	59	14	to	to	ADP
ejpam-3395	59	15	fbm	fbm	NOUN
ejpam-3395	59	16	[	[	X
ejpam-3395	59	17	26	26	NUM
ejpam-3395	59	18	]	]	PUNCT
ejpam-3395	59	19	.	.	PUNCT
ejpam-3395	60	1	2.1	2.1	NUM
ejpam-3395	60	2	.	.	PUNCT
ejpam-3395	61	1	stochastic	stochastic	ADJ
ejpam-3395	61	2	integral	integral	ADJ
ejpam-3395	61	3	with	with	ADP
ejpam-3395	61	4	respect	respect	NOUN
ejpam-3395	61	5	to	to	ADP
ejpam-3395	61	6	fbm	fbm	NOUN
ejpam-3395	61	7	.	.	PUNCT
ejpam-3395	62	1	we	we	PRON
ejpam-3395	62	2	begin	begin	VERB
ejpam-3395	62	3	by	by	ADP
ejpam-3395	62	4	a	a	DET
ejpam-3395	62	5	brief	brief	ADJ
ejpam-3395	62	6	review	review	NOUN
ejpam-3395	62	7	of	of	ADP
ejpam-3395	62	8	the	the	DET
ejpam-3395	62	9	malliavin	malliavin	NOUN
ejpam-3395	62	10	calculus	calculus	NOUN
ejpam-3395	62	11	.	.	PUNCT
ejpam-3395	63	1	we	we	PRON
ejpam-3395	63	2	start	start	VERB
ejpam-3395	63	3	with	with	ADP
ejpam-3395	63	4	the	the	DET
ejpam-3395	63	5	definition	definition	NOUN
ejpam-3395	63	6	of	of	ADP
ejpam-3395	63	7	the	the	DET
ejpam-3395	63	8	integral	integral	ADJ
ejpam-3395	63	9	with	with	ADP
ejpam-3395	63	10	respect	respect	NOUN
ejpam-3395	63	11	to	to	ADP
ejpam-3395	63	12	fbm	fbm	NOUN
ejpam-3395	63	13	as	as	ADP
ejpam-3395	63	14	a	a	DET
ejpam-3395	63	15	path	path	NOUN
ejpam-3395	63	16	-	-	PUNCT
ejpam-3395	63	17	wise	wise	ADJ
ejpam-3395	63	18	stochastic	stochastic	ADJ
ejpam-3395	63	19	integrals	integral	NOUN
ejpam-3395	63	20	(	(	PUNCT
ejpam-3395	63	21	symmetric	symmetric	ADJ
ejpam-3395	63	22	,	,	PUNCT
ejpam-3395	63	23	forward	forward	ADJ
ejpam-3395	63	24	and	and	CCONJ
ejpam-3395	63	25	backward	backward	ADV
ejpam-3395	63	26	integral	integral	ADJ
ejpam-3395	63	27	)	)	PUNCT
ejpam-3395	63	28	for	for	ADP
ejpam-3395	63	29	fbm	fbm	NOUN
ejpam-3395	63	30	on	on	ADP
ejpam-3395	63	31	the	the	DET
ejpam-3395	63	32	slow	slow	ADJ
ejpam-3395	63	33	-	-	PUNCT
ejpam-3395	63	34	fast	fast	ADJ
ejpam-3395	63	35	systems	system	NOUN
ejpam-3395	63	36	,	,	PUNCT
ejpam-3395	63	37	following	follow	VERB
ejpam-3395	63	38	the	the	DET
ejpam-3395	63	39	work	work	NOUN
ejpam-3395	63	40	of	of	ADP
ejpam-3395	63	41	[	[	X
ejpam-3395	63	42	7	7	NUM
ejpam-3395	63	43	]	]	PUNCT
ejpam-3395	63	44	.	.	PUNCT
ejpam-3395	64	1	definition	definition	NOUN
ejpam-3395	64	2	1	1	NUM
ejpam-3395	64	3	.	.	PUNCT
ejpam-3395	65	1	let	let	VERB
ejpam-3395	65	2	u(t	u(t	NOUN
ejpam-3395	65	3	)	)	PUNCT
ejpam-3395	65	4	be	be	AUX
ejpam-3395	65	5	a	a	DET
ejpam-3395	65	6	stochastic	stochastic	ADJ
ejpam-3395	65	7	process	process	NOUN
ejpam-3395	65	8	with	with	ADP
ejpam-3395	65	9	integrable	integrable	ADJ
ejpam-3395	65	10	trajectories	trajectory	NOUN
ejpam-3395	65	11	.	.	PUNCT
ejpam-3395	66	1	(	(	PUNCT
ejpam-3395	66	2	i	i	NOUN
ejpam-3395	66	3	)	)	PUNCT
ejpam-3395	66	4	the	the	DET
ejpam-3395	66	5	symmetric	symmetric	ADJ
ejpam-3395	66	6	integral	integral	ADJ
ejpam-3395	66	7	of	of	ADP
ejpam-3395	66	8	u(t	u(t	NOUN
ejpam-3395	66	9	)	)	PUNCT
ejpam-3395	66	10	with	with	ADP
ejpam-3395	66	11	respect	respect	NOUN
ejpam-3395	66	12	to	to	ADP
ejpam-3395	66	13	bht	bht	PROPN
ejpam-3395	66	14	is	be	AUX
ejpam-3395	66	15	defined	define	VERB
ejpam-3395	66	16	as	as	ADP
ejpam-3395	66	17	lim	lim	NOUN
ejpam-3395	66	18	ε→0	ε→0	PROPN
ejpam-3395	66	19	1	1	NUM
ejpam-3395	66	20	2ε	2ε	NUM
ejpam-3395	66	21	∫	∫	PROPN
ejpam-3395	66	22	t	t	PROPN
ejpam-3395	66	23	0	0	NUM
ejpam-3395	66	24	u(s	u(s	PROPN
ejpam-3395	66	25	)	)	PUNCT
ejpam-3395	67	1	[	[	PUNCT
ejpam-3395	67	2	bhs+ε	bhs+ε	PROPN
ejpam-3395	67	3	−bhs−ε	−bhs−ε	X
ejpam-3395	67	4	]	]	PUNCT
ejpam-3395	67	5	ds	ds	PROPN
ejpam-3395	67	6	,	,	PUNCT
ejpam-3395	67	7	(	(	PUNCT
ejpam-3395	67	8	4	4	NUM
ejpam-3395	67	9	)	)	PUNCT
ejpam-3395	67	10	provided	provide	VERB
ejpam-3395	67	11	that	that	SCONJ
ejpam-3395	67	12	the	the	DET
ejpam-3395	67	13	limit	limit	NOUN
ejpam-3395	67	14	exists	exist	VERB
ejpam-3395	67	15	in	in	ADP
ejpam-3395	67	16	probability	probability	NOUN
ejpam-3395	67	17	,	,	PUNCT
ejpam-3395	67	18	and	and	CCONJ
ejpam-3395	67	19	is	be	AUX
ejpam-3395	67	20	denoted	denote	VERB
ejpam-3395	67	21	by	by	ADP
ejpam-3395	67	22	∫	∫	PROPN
ejpam-3395	67	23	t	t	PROPN
ejpam-3395	67	24	0	0	NUM
ejpam-3395	67	25	u(s)d	u(s)d	PROPN
ejpam-3395	67	26	◦	◦	NOUN
ejpam-3395	67	27	bhs	bhs	PROPN
ejpam-3395	67	28	.	.	PUNCT
ejpam-3395	68	1	(	(	PUNCT
ejpam-3395	68	2	ii	ii	X
ejpam-3395	68	3	)	)	PUNCT
ejpam-3395	68	4	the	the	DET
ejpam-3395	68	5	forward	forward	ADV
ejpam-3395	68	6	integral	integral	ADJ
ejpam-3395	68	7	of	of	ADP
ejpam-3395	68	8	u(t	u(t	NOUN
ejpam-3395	68	9	)	)	PUNCT
ejpam-3395	68	10	with	with	ADP
ejpam-3395	68	11	respect	respect	NOUN
ejpam-3395	68	12	to	to	ADP
ejpam-3395	68	13	bht	bht	PROPN
ejpam-3395	68	14	is	be	AUX
ejpam-3395	68	15	defined	define	VERB
ejpam-3395	68	16	as	as	ADP
ejpam-3395	68	17	lim	lim	NOUN
ejpam-3395	68	18	ε→0	ε→0	PROPN
ejpam-3395	68	19	1	1	NUM
ejpam-3395	68	20	ε	ε	PROPN
ejpam-3395	68	21	∫	∫	PROPN
ejpam-3395	68	22	t	t	PROPN
ejpam-3395	68	23	0	0	NUM
ejpam-3395	68	24	u(s	u(s	PROPN
ejpam-3395	68	25	)	)	PUNCT
ejpam-3395	69	1	[	[	PUNCT
ejpam-3395	69	2	bhs+ε	bhs+ε	PROPN
ejpam-3395	69	3	−bhs	−bhs	NOUN
ejpam-3395	69	4	ε	ε	PROPN
ejpam-3395	69	5	]	]	PUNCT
ejpam-3395	69	6	ds	ds	PROPN
ejpam-3395	69	7	,	,	PUNCT
ejpam-3395	69	8	(	(	PUNCT
ejpam-3395	69	9	5	5	NUM
ejpam-3395	69	10	)	)	PUNCT
ejpam-3395	69	11	provided	provide	VERB
ejpam-3395	69	12	that	that	SCONJ
ejpam-3395	69	13	the	the	DET
ejpam-3395	69	14	limit	limit	NOUN
ejpam-3395	69	15	exists	exist	VERB
ejpam-3395	69	16	in	in	ADP
ejpam-3395	69	17	probability	probability	NOUN
ejpam-3395	69	18	,	,	PUNCT
ejpam-3395	69	19	and	and	CCONJ
ejpam-3395	69	20	is	be	AUX
ejpam-3395	69	21	denoted	denote	VERB
ejpam-3395	69	22	by	by	ADP
ejpam-3395	69	23	∫	∫	PROPN
ejpam-3395	69	24	t	t	PROPN
ejpam-3395	69	25	0	0	NUM
ejpam-3395	70	1	u(s)d−bhs	u(s)d−bhs	PROPN
ejpam-3395	70	2	.	.	PUNCT
ejpam-3395	71	1	(	(	PUNCT
ejpam-3395	71	2	iii	iii	X
ejpam-3395	71	3	)	)	PUNCT
ejpam-3395	71	4	the	the	DET
ejpam-3395	71	5	backward	backward	ADJ
ejpam-3395	71	6	integral	integral	ADJ
ejpam-3395	71	7	of	of	ADP
ejpam-3395	71	8	u(t	u(t	NOUN
ejpam-3395	71	9	)	)	PUNCT
ejpam-3395	71	10	with	with	ADP
ejpam-3395	71	11	respect	respect	NOUN
ejpam-3395	71	12	to	to	ADP
ejpam-3395	71	13	bht	bht	PROPN
ejpam-3395	71	14	is	be	AUX
ejpam-3395	71	15	defined	define	VERB
ejpam-3395	71	16	as	as	ADP
ejpam-3395	71	17	lim	lim	NOUN
ejpam-3395	71	18	ε→0	ε→0	PROPN
ejpam-3395	71	19	1	1	NUM
ejpam-3395	71	20	ε	ε	PROPN
ejpam-3395	71	21	∫	∫	PROPN
ejpam-3395	71	22	t	t	PROPN
ejpam-3395	71	23	0	0	NUM
ejpam-3395	71	24	u(s	u(s	PROPN
ejpam-3395	71	25	)	)	PUNCT
ejpam-3395	71	26	[	[	PUNCT
ejpam-3395	71	27	bhs−ε	bhs−ε	NOUN
ejpam-3395	71	28	−bhs	−bhs	NOUN
ejpam-3395	71	29	ε	ε	PROPN
ejpam-3395	71	30	]	]	PUNCT
ejpam-3395	71	31	ds	ds	PROPN
ejpam-3395	71	32	,	,	PUNCT
ejpam-3395	71	33	(	(	PUNCT
ejpam-3395	71	34	6	6	NUM
ejpam-3395	71	35	)	)	PUNCT
ejpam-3395	71	36	provided	provide	VERB
ejpam-3395	71	37	that	that	SCONJ
ejpam-3395	71	38	the	the	DET
ejpam-3395	71	39	limit	limit	NOUN
ejpam-3395	71	40	exists	exist	VERB
ejpam-3395	71	41	in	in	ADP
ejpam-3395	71	42	probability	probability	NOUN
ejpam-3395	71	43	,	,	PUNCT
ejpam-3395	71	44	and	and	CCONJ
ejpam-3395	71	45	is	be	AUX
ejpam-3395	71	46	denoted	denote	VERB
ejpam-3395	71	47	by	by	ADP
ejpam-3395	71	48	∫	∫	PROPN
ejpam-3395	71	49	t	t	PROPN
ejpam-3395	71	50	0	0	NUM
ejpam-3395	71	51	u(s)d+bhs	u(s)d+bhs	ADV
ejpam-3395	71	52	.	.	PUNCT
ejpam-3395	72	1	for	for	ADP
ejpam-3395	72	2	the	the	DET
ejpam-3395	72	3	convenience	convenience	NOUN
ejpam-3395	72	4	of	of	ADP
ejpam-3395	72	5	readers	reader	NOUN
ejpam-3395	72	6	,	,	PUNCT
ejpam-3395	72	7	some	some	DET
ejpam-3395	72	8	basic	basic	ADJ
ejpam-3395	72	9	properties	property	NOUN
ejpam-3395	72	10	of	of	ADP
ejpam-3395	72	11	the	the	DET
ejpam-3395	72	12	path	path	NOUN
ejpam-3395	72	13	-	-	PUNCT
ejpam-3395	72	14	wise	wise	ADJ
ejpam-3395	72	15	stochastic	stochastic	ADJ
ejpam-3395	72	16	integrals	integral	NOUN
ejpam-3395	72	17	are	be	AUX
ejpam-3395	72	18	provided	provide	VERB
ejpam-3395	72	19	as	as	SCONJ
ejpam-3395	72	20	follows	follow	VERB
ejpam-3395	72	21	:	:	PUNCT
ejpam-3395	72	22	let	let	VERB
ejpam-3395	72	23	ϕ	ϕ	NOUN
ejpam-3395	72	24	:	:	PUNCT
ejpam-3395	72	25	r+	r+	X
ejpam-3395	72	26	×	×	NOUN
ejpam-3395	72	27	r+	r+	NOUN
ejpam-3395	72	28	→	→	PUNCT
ejpam-3395	72	29	r+	r+	PRON
ejpam-3395	72	30	be	be	AUX
ejpam-3395	72	31	defined	define	VERB
ejpam-3395	72	32	by	by	ADP
ejpam-3395	72	33	ϕ(t	ϕ(t	PROPN
ejpam-3395	72	34	,	,	PUNCT
ejpam-3395	72	35	s	s	X
ejpam-3395	72	36	)	)	PUNCT
ejpam-3395	72	37	=	=	SYM
ejpam-3395	72	38	h(2h	h(2h	PUNCT
ejpam-3395	72	39	−	−	PROPN
ejpam-3395	72	40	1)|t−	1)|t−	NUM
ejpam-3395	72	41	s|2h−2	s|2h−2	NOUN
ejpam-3395	72	42	,	,	PUNCT
ejpam-3395	72	43	t	t	PROPN
ejpam-3395	72	44	,	,	PUNCT
ejpam-3395	72	45	s	s	PART
ejpam-3395	72	46	∈	∈	PROPN
ejpam-3395	72	47	r+	r+	NOUN
ejpam-3395	72	48	,	,	PUNCT
ejpam-3395	72	49	(	(	PUNCT
ejpam-3395	72	50	7	7	X
ejpam-3395	72	51	)	)	PUNCT
ejpam-3395	72	52	d.	d.	PROPN
ejpam-3395	72	53	a.	a.	PROPN
ejpam-3395	72	54	n.	n.	PROPN
ejpam-3395	72	55	njamen	njamen	PROPN
ejpam-3395	72	56	,	,	PUNCT
ejpam-3395	72	57	e.	e.	PROPN
ejpam-3395	72	58	djeutcha	djeutcha	PROPN
ejpam-3395	72	59	/	/	SYM
ejpam-3395	72	60	eur	eur	PROPN
ejpam-3395	72	61	.	.	PUNCT
ejpam-3395	73	1	j.	j.	PROPN
ejpam-3395	73	2	pure	pure	PROPN
ejpam-3395	73	3	appl	appl	PROPN
ejpam-3395	73	4	.	.	PROPN
ejpam-3395	73	5	math	math	PROPN
ejpam-3395	73	6	,	,	PUNCT
ejpam-3395	73	7	12	12	NUM
ejpam-3395	73	8	(	(	PUNCT
ejpam-3395	73	9	2	2	NUM
ejpam-3395	73	10	)	)	PUNCT
ejpam-3395	73	11	(	(	PUNCT
ejpam-3395	73	12	2019	2019	NUM
ejpam-3395	73	13	)	)	PUNCT
ejpam-3395	73	14	,	,	PUNCT
ejpam-3395	73	15	448	448	NUM
ejpam-3395	73	16	-	-	SYM
ejpam-3395	73	17	468	468	NUM
ejpam-3395	73	18	451	451	NUM
ejpam-3395	73	19	where	where	SCONJ
ejpam-3395	73	20	h	h	NOUN
ejpam-3395	73	21	is	be	AUX
ejpam-3395	73	22	a	a	DET
ejpam-3395	73	23	constant	constant	ADJ
ejpam-3395	73	24	with	with	ADP
ejpam-3395	73	25	1	1	NUM
ejpam-3395	73	26	2	2	NUM
ejpam-3395	73	27	<	<	X
ejpam-3395	73	28	h	h	NOUN
ejpam-3395	73	29	<	<	X
ejpam-3395	73	30	1	1	X
ejpam-3395	73	31	.	.	PUNCT
ejpam-3395	74	1	let	let	VERB
ejpam-3395	74	2	g	g	NOUN
ejpam-3395	74	3	:	:	PUNCT
ejpam-3395	74	4	r+	r+	X
ejpam-3395	74	5	→	→	PUNCT
ejpam-3395	74	6	r	r	NOUN
ejpam-3395	74	7	be	be	PROPN
ejpam-3395	74	8	borel	borel	NOUN
ejpam-3395	74	9	mesurable	mesurable	NOUN
ejpam-3395	74	10	,	,	PUNCT
ejpam-3395	74	11	define	define	VERB
ejpam-3395	74	12	l2	l2	NOUN
ejpam-3395	74	13	ϕ(r+	ϕ(r+	X
ejpam-3395	74	14	)	)	PUNCT
ejpam-3395	75	1	=	=	PRON
ejpam-3395	75	2	{	{	PUNCT
ejpam-3395	75	3	g	g	NOUN
ejpam-3395	75	4	:	:	PUNCT
ejpam-3395	75	5	‖g‖2ϕ	‖g‖2ϕ	PROPN
ejpam-3395	75	6	=	=	SYM
ejpam-3395	75	7	∫	∫	PROPN
ejpam-3395	75	8	r+	r+	PUNCT
ejpam-3395	75	9	∫	∫	PROPN
ejpam-3395	75	10	r+	r+	PUNCT
ejpam-3395	75	11	g(t)g(s)ϕ(t	g(t)g(s)ϕ(t	NOUN
ejpam-3395	75	12	,	,	PUNCT
ejpam-3395	75	13	s)dsdt	s)dsdt	NOUN
ejpam-3395	75	14	<	<	X
ejpam-3395	75	15	∞	∞	PROPN
ejpam-3395	75	16	}	}	PUNCT
ejpam-3395	75	17	,	,	PUNCT
ejpam-3395	75	18	(	(	PUNCT
ejpam-3395	75	19	8)	8)	NUM
ejpam-3395	75	20	if	if	SCONJ
ejpam-3395	75	21	we	we	PRON
ejpam-3395	75	22	equip	equip	VERB
ejpam-3395	75	23	l2	l2	NOUN
ejpam-3395	75	24	ϕ(r+	ϕ(r+	NOUN
ejpam-3395	75	25	)	)	PUNCT
ejpam-3395	75	26	and	and	CCONJ
ejpam-3395	75	27	with	with	ADP
ejpam-3395	75	28	the	the	DET
ejpam-3395	75	29	inner	inner	ADJ
ejpam-3395	75	30	product	product	NOUN
ejpam-3395	75	31	<	<	X
ejpam-3395	75	32	g1	g1	PROPN
ejpam-3395	75	33	,	,	PUNCT
ejpam-3395	75	34	g2	g2	PROPN
ejpam-3395	75	35	>	>	PUNCT
ejpam-3395	75	36	ϕ=	ϕ=	PROPN
ejpam-3395	75	37	∫	∫	PROPN
ejpam-3395	75	38	r+	r+	PUNCT
ejpam-3395	75	39	∫	∫	PROPN
ejpam-3395	75	40	r+	r+	PUNCT
ejpam-3395	75	41	g1(t)g2(s)ϕ(t	g1(t)g2(s)ϕ(t	PROPN
ejpam-3395	75	42	,	,	PUNCT
ejpam-3395	75	43	s)dsdt	s)dsdt	NOUN
ejpam-3395	75	44	,	,	PUNCT
ejpam-3395	75	45	g1	g1	NOUN
ejpam-3395	75	46	,	,	PUNCT
ejpam-3395	75	47	g2	g2	PROPN
ejpam-3395	75	48	∈	∈	PROPN
ejpam-3395	75	49	r+	r+	PRON
ejpam-3395	75	50	(	(	PUNCT
ejpam-3395	75	51	9	9	NUM
ejpam-3395	75	52	)	)	PUNCT
ejpam-3395	75	53	then	then	ADV
ejpam-3395	75	54	l2	l2	VERB
ejpam-3395	75	55	ϕ(r+	ϕ(r+	X
ejpam-3395	75	56	)	)	PUNCT
ejpam-3395	75	57	become	become	VERB
ejpam-3395	75	58	respectively	respectively	ADV
ejpam-3395	75	59	the	the	DET
ejpam-3395	75	60	separable	separable	ADJ
ejpam-3395	75	61	hilbert	hilbert	PROPN
ejpam-3395	75	62	space	space	NOUN
ejpam-3395	75	63	.	.	PUNCT
ejpam-3395	76	1	let	let	VERB
ejpam-3395	76	2	s	s	PRON
ejpam-3395	76	3	be	be	AUX
ejpam-3395	76	4	the	the	DET
ejpam-3395	76	5	set	set	NOUN
ejpam-3395	76	6	of	of	ADP
ejpam-3395	76	7	smooth	smooth	ADJ
ejpam-3395	76	8	and	and	CCONJ
ejpam-3395	76	9	cyndrical	cyndrical	ADJ
ejpam-3395	76	10	random	random	ADJ
ejpam-3395	76	11	variables	variable	NOUN
ejpam-3395	76	12	of	of	ADP
ejpam-3395	76	13	the	the	DET
ejpam-3395	76	14	form	form	NOUN
ejpam-3395	77	1	f	f	PROPN
ejpam-3395	77	2	(	(	PUNCT
ejpam-3395	77	3	ω	ω	NOUN
ejpam-3395	77	4	)	)	PUNCT
ejpam-3395	77	5	=	=	SYM
ejpam-3395	77	6	f	f	PROPN
ejpam-3395	77	7	(	(	PUNCT
ejpam-3395	77	8	∫	∫	PROPN
ejpam-3395	77	9	t	t	PROPN
ejpam-3395	77	10	0	0	NUM
ejpam-3395	77	11	ψ1(t)dbht	ψ1(t)dbht	NOUN
ejpam-3395	77	12	,	,	PUNCT
ejpam-3395	77	13	.	.	PUNCT
ejpam-3395	77	14	.	.	PUNCT
ejpam-3395	77	15	.	.	PUNCT
ejpam-3395	78	1	,	,	PUNCT
ejpam-3395	78	2	∫	∫	PROPN
ejpam-3395	78	3	t	t	PROPN
ejpam-3395	78	4	0	0	NUM
ejpam-3395	78	5	ψn(t)dbht	ψn(t)dbht	NOUN
ejpam-3395	78	6	)	)	PUNCT
ejpam-3395	78	7	(	(	PUNCT
ejpam-3395	78	8	10	10	NUM
ejpam-3395	78	9	)	)	PUNCT
ejpam-3395	78	10	where	where	SCONJ
ejpam-3395	78	11	n	n	PRON
ejpam-3395	78	12	≥	≥	NOUN
ejpam-3395	78	13	1	1	NUM
ejpam-3395	78	14	,	,	PUNCT
ejpam-3395	78	15	f	f	PROPN
ejpam-3395	78	16	∈	∈	PROPN
ejpam-3395	78	17	c∞b	c∞b	NOUN
ejpam-3395	78	18	(	(	PUNCT
ejpam-3395	78	19	rn+)(f	rn+)(f	PROPN
ejpam-3395	78	20	and	and	CCONJ
ejpam-3395	78	21	all	all	DET
ejpam-3395	78	22	its	its	PRON
ejpam-3395	78	23	partial	partial	ADJ
ejpam-3395	78	24	derivatives	derivative	NOUN
ejpam-3395	78	25	are	be	AUX
ejpam-3395	78	26	bounded	bound	VERB
ejpam-3395	78	27	)	)	PUNCT
ejpam-3395	78	28	and	and	CCONJ
ejpam-3395	78	29	ψi	ψi	ADP
ejpam-3395	78	30	∈	∈	PROPN
ejpam-3395	78	31	h.	h.	PROPN
ejpam-3395	78	32	h	h	PROPN
ejpam-3395	78	33	is	be	AUX
ejpam-3395	78	34	the	the	DET
ejpam-3395	78	35	completion	completion	NOUN
ejpam-3395	78	36	of	of	ADP
ejpam-3395	78	37	the	the	DET
ejpam-3395	78	38	mesurable	mesurable	ADJ
ejpam-3395	78	39	functions	function	NOUN
ejpam-3395	79	1	such	such	ADJ
ejpam-3395	79	2	that	that	DET
ejpam-3395	79	3	‖ψi‖2	‖ψi‖2	NOUN
ejpam-3395	79	4	<	<	X
ejpam-3395	79	5	∞	∞	NUM
ejpam-3395	79	6	and	and	CCONJ
ejpam-3395	79	7	ψn	ψn	NUM
ejpam-3395	79	8	,	,	PUNCT
ejpam-3395	79	9	is	be	AUX
ejpam-3395	79	10	the	the	DET
ejpam-3395	79	11	sequence	sequence	NOUN
ejpam-3395	79	12	in	in	ADP
ejpam-3395	79	13	h	h	NOUN
ejpam-3395	79	14	such	such	ADJ
ejpam-3395	79	15	that	that	SCONJ
ejpam-3395	79	16	<	<	X
ejpam-3395	79	17	ψi	ψi	NOUN
ejpam-3395	79	18	,	,	PUNCT
ejpam-3395	79	19	ψj	ψj	ADV
ejpam-3395	79	20	>	>	PUNCT
ejpam-3395	79	21	ϕ=	ϕ=	PROPN
ejpam-3395	79	22	δij	δij	NOUN
ejpam-3395	79	23	.	.	PUNCT
ejpam-3395	80	1	we	we	PRON
ejpam-3395	80	2	denote	denote	VERB
ejpam-3395	80	3	by	by	ADP
ejpam-3395	80	4	h	h	NOUN
ejpam-3395	80	5	the	the	DET
ejpam-3395	80	6	space	space	NOUN
ejpam-3395	80	7	of	of	ADP
ejpam-3395	80	8	measurable	measurable	ADJ
ejpam-3395	80	9	functions	function	NOUN
ejpam-3395	80	10	h	h	NOUN
ejpam-3395	80	11	on	on	ADP
ejpam-3395	80	12	[	[	X
ejpam-3395	80	13	0	0	NUM
ejpam-3395	80	14	,	,	PUNCT
ejpam-3395	80	15	t	t	X
ejpam-3395	80	16	]	]	PUNCT
ejpam-3395	80	17	satisfying	satisfy	VERB
ejpam-3395	81	1	‖h‖2h	‖h‖2h	PROPN
ejpam-3395	81	2	=	=	SYM
ejpam-3395	81	3	∫	∫	PROPN
ejpam-3395	81	4	t	t	PROPN
ejpam-3395	81	5	0	0	NUM
ejpam-3395	81	6	∫	∫	PROPN
ejpam-3395	81	7	t	t	PROPN
ejpam-3395	81	8	0	0	NUM
ejpam-3395	81	9	|h(t)||h(s)|ϕ(t	|h(t)||h(s)|ϕ(t	NOUN
ejpam-3395	81	10	,	,	PUNCT
ejpam-3395	81	11	s)dsdt	s)dsdt	NOUN
ejpam-3395	81	12	<	<	X
ejpam-3395	81	13	∞	∞	PROPN
ejpam-3395	81	14	,	,	PUNCT
ejpam-3395	81	15	(	(	PUNCT
ejpam-3395	81	16	11	11	NUM
ejpam-3395	81	17	)	)	PUNCT
ejpam-3395	81	18	where	where	SCONJ
ejpam-3395	81	19	h	h	NOUN
ejpam-3395	81	20	is	be	AUX
ejpam-3395	81	21	a	a	DET
ejpam-3395	81	22	banach	banach	NOUN
ejpam-3395	81	23	space	space	NOUN
ejpam-3395	81	24	with	with	ADP
ejpam-3395	81	25	the	the	DET
ejpam-3395	81	26	norm	norm	NOUN
ejpam-3395	81	27	‖	‖	PROPN
ejpam-3395	81	28	·	·	PUNCT
ejpam-3395	81	29	‖2h	‖2h	PROPN
ejpam-3395	81	30	.	.	PUNCT
ejpam-3395	82	1	the	the	DET
ejpam-3395	82	2	malliavin	malliavin	PROPN
ejpam-3395	82	3	derivative	derivative	ADJ
ejpam-3395	82	4	dh	dh	PROPN
ejpam-3395	82	5	t	t	PROPN
ejpam-3395	82	6	of	of	ADP
ejpam-3395	82	7	a	a	DET
ejpam-3395	82	8	smooth	smooth	ADJ
ejpam-3395	82	9	and	and	CCONJ
ejpam-3395	82	10	cylindrical	cylindrical	ADJ
ejpam-3395	82	11	random	random	ADJ
ejpam-3395	82	12	variable	variable	NOUN
ejpam-3395	82	13	f	f	PROPN
ejpam-3395	82	14	∈	∈	PROPN
ejpam-3395	82	15	s	s	VERB
ejpam-3395	82	16	is	be	AUX
ejpam-3395	82	17	defined	define	VERB
ejpam-3395	82	18	as	as	ADP
ejpam-3395	82	19	the	the	DET
ejpam-3395	82	20	h	h	NOUN
ejpam-3395	82	21	-	-	PUNCT
ejpam-3395	82	22	value	value	NOUN
ejpam-3395	82	23	random	random	ADJ
ejpam-3395	82	24	variable	variable	NOUN
ejpam-3395	82	25	:	:	PUNCT
ejpam-3395	82	26	dh	dh	PROPN
ejpam-3395	82	27	t	t	PROPN
ejpam-3395	83	1	f	f	PROPN
ejpam-3395	84	1	=	=	SYM
ejpam-3395	84	2	n∑	n∑	PROPN
ejpam-3395	84	3	i=1	i=1	X
ejpam-3395	85	1	∂f	∂f	PROPN
ejpam-3395	85	2	∂xi	∂xi	PROPN
ejpam-3395	85	3	(	(	PUNCT
ejpam-3395	85	4	∫	∫	PROPN
ejpam-3395	85	5	t	t	PROPN
ejpam-3395	85	6	0	0	NUM
ejpam-3395	85	7	ψ1(t)dbht	ψ1(t)dbht	NOUN
ejpam-3395	85	8	,	,	PUNCT
ejpam-3395	85	9	.	.	PUNCT
ejpam-3395	85	10	.	.	PUNCT
ejpam-3395	85	11	.	.	PUNCT
ejpam-3395	86	1	,	,	PUNCT
ejpam-3395	86	2	∫	∫	PROPN
ejpam-3395	86	3	t	t	PROPN
ejpam-3395	86	4	0	0	NUM
ejpam-3395	86	5	ψn(t)dbht	ψn(t)dbht	NOUN
ejpam-3395	86	6	)	)	PUNCT
ejpam-3395	86	7	ψi(t	ψi(t	NOUN
ejpam-3395	86	8	)	)	PUNCT
ejpam-3395	86	9	,	,	PUNCT
ejpam-3395	86	10	(	(	PUNCT
ejpam-3395	86	11	12	12	NUM
ejpam-3395	86	12	)	)	PUNCT
ejpam-3395	86	13	then	then	ADV
ejpam-3395	86	14	for	for	ADP
ejpam-3395	86	15	any	any	DET
ejpam-3395	86	16	p	p	PRON
ejpam-3395	86	17	≥	≥	NOUN
ejpam-3395	86	18	1	1	NUM
ejpam-3395	86	19	,	,	PUNCT
ejpam-3395	86	20	the	the	DET
ejpam-3395	86	21	derivative	derivative	ADJ
ejpam-3395	86	22	operator	operator	NOUN
ejpam-3395	86	23	dh	dh	PROPN
ejpam-3395	86	24	t	t	PROPN
ejpam-3395	86	25	is	be	AUX
ejpam-3395	86	26	a	a	DET
ejpam-3395	86	27	closable	closable	ADJ
ejpam-3395	86	28	operator	operator	NOUN
ejpam-3395	86	29	from	from	ADP
ejpam-3395	86	30	lp(ω	lp(ω	PROPN
ejpam-3395	86	31	)	)	PUNCT
ejpam-3395	86	32	into	into	ADP
ejpam-3395	86	33	lp(ω	lp(ω	PROPN
ejpam-3395	86	34	,	,	PUNCT
ejpam-3395	86	35	h	h	NOUN
ejpam-3395	86	36	)	)	PUNCT
ejpam-3395	86	37	.	.	PUNCT
ejpam-3395	87	1	we	we	PRON
ejpam-3395	87	2	define	define	VERB
ejpam-3395	87	3	the	the	DET
ejpam-3395	87	4	ϕ-derivative	ϕ-derivative	NOUN
ejpam-3395	87	5	of	of	ADP
ejpam-3395	87	6	f	f	NOUN
ejpam-3395	87	7	:	:	PUNCT
ejpam-3395	87	8	dϕ	dϕ	ADP
ejpam-3395	87	9	t	t	X
ejpam-3395	87	10	f	f	PROPN
ejpam-3395	87	11	=	=	SYM
ejpam-3395	87	12	∫	∫	PROPN
ejpam-3395	87	13	r+	r+	NOUN
ejpam-3395	87	14	ϕ(t	ϕ(t	PROPN
ejpam-3395	87	15	,	,	PUNCT
ejpam-3395	87	16	v)dh	v)dh	PROPN
ejpam-3395	87	17	v	v	NUM
ejpam-3395	87	18	fdv	fdv	NOUN
ejpam-3395	87	19	.	.	PUNCT
ejpam-3395	88	1	(	(	PUNCT
ejpam-3395	88	2	13	13	NUM
ejpam-3395	88	3	)	)	PUNCT
ejpam-3395	88	4	definition	definition	NOUN
ejpam-3395	88	5	2	2	NUM
ejpam-3395	88	6	.	.	PUNCT
ejpam-3395	89	1	the	the	DET
ejpam-3395	89	2	space	space	NOUN
ejpam-3395	89	3	lϕ[0	lϕ[0	PROPN
ejpam-3395	89	4	,	,	PUNCT
ejpam-3395	89	5	t	t	X
ejpam-3395	89	6	]	]	PUNCT
ejpam-3395	89	7	of	of	ADP
ejpam-3395	89	8	integrands	integrand	NOUN
ejpam-3395	89	9	is	be	AUX
ejpam-3395	89	10	defined	define	VERB
ejpam-3395	89	11	as	as	ADP
ejpam-3395	89	12	the	the	DET
ejpam-3395	89	13	family	family	NOUN
ejpam-3395	89	14	of	of	ADP
ejpam-3395	89	15	stochastic	stochastic	ADJ
ejpam-3395	89	16	process	process	NOUN
ejpam-3395	89	17	u(t	u(t	NOUN
ejpam-3395	89	18	)	)	PUNCT
ejpam-3395	89	19	on	on	ADP
ejpam-3395	89	20	[	[	X
ejpam-3395	89	21	0	0	NUM
ejpam-3395	89	22	,	,	PUNCT
ejpam-3395	89	23	t	t	X
ejpam-3395	89	24	]	]	PUNCT
ejpam-3395	89	25	,	,	PUNCT
ejpam-3395	89	26	such	such	ADJ
ejpam-3395	89	27	that	that	SCONJ
ejpam-3395	89	28	e	e	PROPN
ejpam-3395	89	29	∫	∫	PROPN
ejpam-3395	89	30	t	t	PROPN
ejpam-3395	89	31	0	0	NUM
ejpam-3395	90	1	‖u(s)‖2ϕ	‖u(s)‖2ϕ	PROPN
ejpam-3395	90	2	<	<	X
ejpam-3395	90	3	∞	∞	NUM
ejpam-3395	90	4	u(t	u(t	NOUN
ejpam-3395	90	5	)	)	PUNCT
ejpam-3395	90	6	is	be	AUX
ejpam-3395	90	7	ϕ-differentiable	ϕ-differentiable	ADJ
ejpam-3395	90	8	,	,	PUNCT
ejpam-3395	90	9	the	the	DET
ejpam-3395	90	10	trace	trace	NOUN
ejpam-3395	90	11	of	of	ADP
ejpam-3395	90	12	dϕ	dϕ	NOUN
ejpam-3395	90	13	t	t	NOUN
ejpam-3395	90	14	u(t	u(t	NOUN
ejpam-3395	90	15	)	)	PUNCT
ejpam-3395	90	16	exists	exist	VERB
ejpam-3395	90	17	;	;	PUNCT
ejpam-3395	91	1	0	0	NUM
ejpam-3395	91	2	≤	≤	NUM
ejpam-3395	91	3	s	s	PART
ejpam-3395	91	4	≤	≤	NUM
ejpam-3395	91	5	t	t	PROPN
ejpam-3395	91	6	,	,	PUNCT
ejpam-3395	91	7	0	0	NUM
ejpam-3395	91	8	≤	≤	NUM
ejpam-3395	91	9	t	t	PROPN
ejpam-3395	91	10	≤	≤	PROPN
ejpam-3395	91	11	t	t	PROPN
ejpam-3395	91	12	,	,	PUNCT
ejpam-3395	91	13	e	e	PROPN
ejpam-3395	91	14	∫	∫	PROPN
ejpam-3395	91	15	t	t	PROPN
ejpam-3395	91	16	0	0	NUM
ejpam-3395	91	17	∫	∫	PROPN
ejpam-3395	91	18	t	t	NOUN
ejpam-3395	91	19	0	0	NUM
ejpam-3395	92	1	[	[	X
ejpam-3395	92	2	dϕ	dϕ	PRON
ejpam-3395	92	3	s	s	PRON
ejpam-3395	92	4	u(s)]2dsdt	u(s)]2dsdt	NOUN
ejpam-3395	92	5	<	<	X
ejpam-3395	92	6	∞	∞	PROPN
ejpam-3395	92	7	and	and	CCONJ
ejpam-3395	92	8	for	for	ADP
ejpam-3395	92	9	each	each	DET
ejpam-3395	92	10	sequence	sequence	NOUN
ejpam-3395	92	11	of	of	ADP
ejpam-3395	92	12	partition	partition	NOUN
ejpam-3395	92	13	(	(	PUNCT
ejpam-3395	92	14	πn	πn	NOUN
ejpam-3395	92	15	,	,	PUNCT
ejpam-3395	92	16	n	n	PROPN
ejpam-3395	92	17	∈	∈	PROPN
ejpam-3395	92	18	n	n	CCONJ
ejpam-3395	92	19	)	)	PUNCT
ejpam-3395	92	20	such	such	ADJ
ejpam-3395	92	21	that	that	SCONJ
ejpam-3395	92	22	|πn|	|πn|	PROPN
ejpam-3395	92	23	→	→	SYM
ejpam-3395	92	24	0	0	NUM
ejpam-3395	92	25	as	as	ADP
ejpam-3395	92	26	n→	n→	X
ejpam-3395	92	27	0	0	NUM
ejpam-3395	92	28	n−1∑	n−1∑	PROPN
ejpam-3395	92	29	i=0	i=0	PROPN
ejpam-3395	92	30	e	e	PROPN
ejpam-3395	92	31	∫	∫	PROPN
ejpam-3395	92	32	t	t	PROPN
ejpam-3395	92	33	(	(	PUNCT
ejpam-3395	92	34	n	n	CCONJ
ejpam-3395	92	35	)	)	PUNCT
ejpam-3395	92	36	i+1	i+1	NUM
ejpam-3395	92	37	t	t	PROPN
ejpam-3395	92	38	(	(	PUNCT
ejpam-3395	92	39	n	n	CCONJ
ejpam-3395	92	40	)	)	PUNCT
ejpam-3395	93	1	i	i	PRON
ejpam-3395	93	2	∫	∫	PROPN
ejpam-3395	93	3	t	t	PROPN
ejpam-3395	93	4	(	(	PUNCT
ejpam-3395	93	5	n	n	CCONJ
ejpam-3395	93	6	)	)	PUNCT
ejpam-3395	94	1	j+1	j+1	PUNCT
ejpam-3395	94	2	t	t	PROPN
ejpam-3395	94	3	(	(	PUNCT
ejpam-3395	94	4	n	n	CCONJ
ejpam-3395	94	5	)	)	PUNCT
ejpam-3395	94	6	j	j	X
ejpam-3395	95	1	∣∣∣dϕ	∣∣∣dϕ	PROPN
ejpam-3395	95	2	s	s	PART
ejpam-3395	95	3	u	u	NOUN
ejpam-3395	95	4	π(t	π(t	PROPN
ejpam-3395	95	5	(	(	PUNCT
ejpam-3395	95	6	n	n	CCONJ
ejpam-3395	95	7	)	)	PUNCT
ejpam-3395	95	8	i	i	PRON
ejpam-3395	95	9	)	)	PUNCT
ejpam-3395	95	10	uπ(t	uπ(t	NUM
ejpam-3395	95	11	(	(	PUNCT
ejpam-3395	95	12	n	n	CCONJ
ejpam-3395	95	13	)	)	PUNCT
ejpam-3395	95	14	j	j	NOUN
ejpam-3395	95	15	)	)	PUNCT
ejpam-3395	95	16	−dϕ	−dϕ	PROPN
ejpam-3395	95	17	s	s	PART
ejpam-3395	95	18	u(t)dϕ	u(t)dϕ	PROPN
ejpam-3395	95	19	t	t	PROPN
ejpam-3395	95	20	u(s	u(s	PROPN
ejpam-3395	95	21	)	)	PUNCT
ejpam-3395	95	22	∣∣∣	∣∣∣	NOUN
ejpam-3395	95	23	dsdt	dsdt	NOUN
ejpam-3395	95	24	and	and	CCONJ
ejpam-3395	95	25	e[‖uπ	e[‖uπ	PROPN
ejpam-3395	95	26	−	−	PROPN
ejpam-3395	95	27	u‖2ϕ]2	u‖2ϕ]2	NOUN
ejpam-3395	95	28	tend	tend	VERB
ejpam-3395	95	29	to	to	ADP
ejpam-3395	95	30	0	0	NUM
ejpam-3395	95	31	as	as	ADP
ejpam-3395	95	32	n→	n→	ADV
ejpam-3395	95	33	0	0	NUM
ejpam-3395	95	34	,	,	PUNCT
ejpam-3395	95	35	where	where	SCONJ
ejpam-3395	95	36	πn	πn	INTJ
ejpam-3395	95	37	=	=	SYM
ejpam-3395	95	38	t	t	PROPN
ejpam-3395	95	39	(	(	PUNCT
ejpam-3395	95	40	n	n	CCONJ
ejpam-3395	95	41	)	)	PUNCT
ejpam-3395	95	42	0	0	PUNCT
ejpam-3395	96	1	<	<	X
ejpam-3395	96	2	t	t	X
ejpam-3395	96	3	(	(	PUNCT
ejpam-3395	96	4	n	n	CCONJ
ejpam-3395	96	5	)	)	PUNCT
ejpam-3395	96	6	1	1	NUM
ejpam-3395	96	7	<	<	X
ejpam-3395	96	8	.	.	PUNCT
ejpam-3395	96	9	.	.	PUNCT
ejpam-3395	96	10	.	.	PUNCT
ejpam-3395	97	1	<	<	X
ejpam-3395	97	2	t	t	PROPN
ejpam-3395	97	3	(	(	PUNCT
ejpam-3395	97	4	n	n	CCONJ
ejpam-3395	97	5	)	)	PUNCT
ejpam-3395	97	6	n−1	n−1	PROPN
ejpam-3395	97	7	<	<	X
ejpam-3395	97	8	t	t	PROPN
ejpam-3395	97	9	(	(	PUNCT
ejpam-3395	97	10	n	n	CCONJ
ejpam-3395	97	11	)	)	PUNCT
ejpam-3395	97	12	n	n	NOUN
ejpam-3395	97	13	=	=	SYM
ejpam-3395	97	14	t.	t.	NOUN
ejpam-3395	97	15	according	accord	VERB
ejpam-3395	97	16	to	to	ADP
ejpam-3395	97	17	the	the	DET
ejpam-3395	97	18	remark	remark	NOUN
ejpam-3395	97	19	1	1	NUM
ejpam-3395	97	20	in	in	ADP
ejpam-3395	97	21	[	[	X
ejpam-3395	97	22	3	3	NUM
ejpam-3395	97	23	]	]	PUNCT
ejpam-3395	97	24	and	and	CCONJ
ejpam-3395	97	25	proposition	proposition	VERB
ejpam-3395	97	26	6.2.3	6.2.3	NUM
ejpam-3395	97	27	in	in	ADP
ejpam-3395	97	28	[	[	X
ejpam-3395	97	29	7	7	NUM
ejpam-3395	97	30	]	]	PUNCT
ejpam-3395	97	31	.	.	PUNCT
ejpam-3395	98	1	let	let	AUX
ejpam-3395	98	2	u(t	u(t	NOUN
ejpam-3395	98	3	)	)	PUNCT
ejpam-3395	98	4	be	be	AUX
ejpam-3395	98	5	a	a	DET
ejpam-3395	98	6	stochastic	stochastic	ADJ
ejpam-3395	98	7	process	process	NOUN
ejpam-3395	98	8	in	in	ADP
ejpam-3395	98	9	the	the	DET
ejpam-3395	98	10	space	space	NOUN
ejpam-3395	98	11	d1,2(|h|	d1,2(|h|	NUM
ejpam-3395	98	12	)	)	PUNCT
ejpam-3395	98	13	,	,	PUNCT
ejpam-3395	98	14	and	and	CCONJ
ejpam-3395	98	15	satisfies	satisfy	VERB
ejpam-3395	98	16	∫	∫	PROPN
ejpam-3395	98	17	t	t	PROPN
ejpam-3395	98	18	0	0	NUM
ejpam-3395	98	19	∫	∫	PROPN
ejpam-3395	98	20	t	t	PROPN
ejpam-3395	98	21	0	0	NUM
ejpam-3395	98	22	∣∣dh	∣∣dh	PROPN
ejpam-3395	98	23	s	s	PART
ejpam-3395	98	24	u(s	u(s	PROPN
ejpam-3395	98	25	)	)	PUNCT
ejpam-3395	98	26	∣∣2h−2	∣∣2h−2	PROPN
ejpam-3395	98	27	dsdt	dsdt	NOUN
ejpam-3395	98	28	<	<	PROPN
ejpam-3395	98	29	∞	∞	PROPN
ejpam-3395	98	30	then	then	ADV
ejpam-3395	98	31	we	we	PRON
ejpam-3395	98	32	can	can	AUX
ejpam-3395	98	33	see	see	VERB
ejpam-3395	98	34	that	that	SCONJ
ejpam-3395	98	35	symetric	symetric	ADJ
ejpam-3395	98	36	integral	integral	ADJ
ejpam-3395	98	37	∫	∫	PROPN
ejpam-3395	98	38	t	t	PROPN
ejpam-3395	98	39	0	0	NUM
ejpam-3395	99	1	u(s)d	u(s)d	PROPN
ejpam-3395	99	2	◦	◦	NOUN
ejpam-3395	99	3	bhs	bhs	PROPN
ejpam-3395	99	4	coincides	coincide	VERB
ejpam-3395	99	5	with	with	ADP
ejpam-3395	99	6	the	the	DET
ejpam-3395	99	7	forward	forward	ADJ
ejpam-3395	99	8	and	and	CCONJ
ejpam-3395	99	9	backward	backward	ADJ
ejpam-3395	99	10	integrals	integral	NOUN
ejpam-3395	99	11	.	.	PUNCT
ejpam-3395	100	1	d.	d.	PROPN
ejpam-3395	100	2	a.	a.	PROPN
ejpam-3395	100	3	n.	n.	PROPN
ejpam-3395	100	4	njamen	njamen	PROPN
ejpam-3395	100	5	,	,	PUNCT
ejpam-3395	100	6	e.	e.	PROPN
ejpam-3395	100	7	djeutcha	djeutcha	PROPN
ejpam-3395	100	8	/	/	SYM
ejpam-3395	100	9	eur	eur	PROPN
ejpam-3395	100	10	.	.	PUNCT
ejpam-3395	101	1	j.	j.	PROPN
ejpam-3395	101	2	pure	pure	PROPN
ejpam-3395	101	3	appl	appl	PROPN
ejpam-3395	101	4	.	.	PROPN
ejpam-3395	101	5	math	math	PROPN
ejpam-3395	101	6	,	,	PUNCT
ejpam-3395	101	7	12	12	NUM
ejpam-3395	101	8	(	(	PUNCT
ejpam-3395	101	9	2	2	NUM
ejpam-3395	101	10	)	)	PUNCT
ejpam-3395	101	11	(	(	PUNCT
ejpam-3395	101	12	2019	2019	NUM
ejpam-3395	101	13	)	)	PUNCT
ejpam-3395	101	14	,	,	PUNCT
ejpam-3395	101	15	448	448	NUM
ejpam-3395	101	16	-	-	SYM
ejpam-3395	101	17	468	468	NUM
ejpam-3395	101	18	452	452	NUM
ejpam-3395	101	19	if	if	SCONJ
ejpam-3395	101	20	u(s	u(s	ADJ
ejpam-3395	101	21	)	)	PUNCT
ejpam-3395	101	22	∈	∈	PROPN
ejpam-3395	101	23	lϕ[0	lϕ[0	PROPN
ejpam-3395	101	24	,	,	PUNCT
ejpam-3395	101	25	t	t	X
ejpam-3395	101	26	]	]	PUNCT
ejpam-3395	101	27	,	,	PUNCT
ejpam-3395	101	28	then	then	ADV
ejpam-3395	101	29	one	one	NUM
ejpam-3395	101	30	of	of	ADP
ejpam-3395	101	31	the	the	DET
ejpam-3395	101	32	pathwise	pathwise	NOUN
ejpam-3395	101	33	integrals	integral	NOUN
ejpam-3395	101	34	exist	exist	VERB
ejpam-3395	101	35	and	and	CCONJ
ejpam-3395	101	36	the	the	DET
ejpam-3395	101	37	following	follow	VERB
ejpam-3395	101	38	relation	relation	NOUN
ejpam-3395	101	39	holds	hold	VERB
ejpam-3395	101	40	:	:	PUNCT
ejpam-3395	102	1	∫	∫	PROPN
ejpam-3395	102	2	t	t	PROPN
ejpam-3395	102	3	0	0	NUM
ejpam-3395	103	1	u(s)d	u(s)d	PROPN
ejpam-3395	103	2	◦	◦	NOUN
ejpam-3395	103	3	bhs	bhs	PROPN
ejpam-3395	103	4	=	=	SYM
ejpam-3395	103	5	∫	∫	PROPN
ejpam-3395	103	6	t	t	PROPN
ejpam-3395	103	7	0	0	NUM
ejpam-3395	103	8	u(s	u(s	ADJ
ejpam-3395	103	9	)	)	PUNCT
ejpam-3395	103	10	�	�	PROPN
ejpam-3395	103	11	dbhs	dbhs	PROPN
ejpam-3395	104	1	+	+	CCONJ
ejpam-3395	105	1	∫	∫	PROPN
ejpam-3395	105	2	t	t	NOUN
ejpam-3395	105	3	0	0	NUM
ejpam-3395	105	4	dϕ	dϕ	NOUN
ejpam-3395	105	5	t	t	PROPN
ejpam-3395	105	6	u(s)ds	u(s)ds	PROPN
ejpam-3395	105	7	.	.	PUNCT
ejpam-3395	106	1	(	(	PUNCT
ejpam-3395	106	2	14	14	NUM
ejpam-3395	106	3	)	)	PUNCT
ejpam-3395	106	4	lemma	lemma	PROPN
ejpam-3395	106	5	1	1	X
ejpam-3395	106	6	.	.	PUNCT
ejpam-3395	107	1	let	let	VERB
ejpam-3395	107	2	bht	bht	PROPN
ejpam-3395	107	3	be	be	AUX
ejpam-3395	107	4	the	the	DET
ejpam-3395	107	5	fbm	fbm	NOUN
ejpam-3395	107	6	with	with	ADP
ejpam-3395	107	7	1	1	NUM
ejpam-3395	107	8	2	2	NUM
ejpam-3395	107	9	<	<	X
ejpam-3395	107	10	h	h	NOUN
ejpam-3395	107	11	<	<	X
ejpam-3395	107	12	1	1	NUM
ejpam-3395	107	13	and	and	CCONJ
ejpam-3395	107	14	u(t	u(t	NOUN
ejpam-3395	107	15	)	)	PUNCT
ejpam-3395	107	16	be	be	AUX
ejpam-3395	107	17	a	a	DET
ejpam-3395	107	18	stochastic	stochastic	ADJ
ejpam-3395	107	19	process	process	NOUN
ejpam-3395	107	20	in	in	ADP
ejpam-3395	107	21	d1,2(|h|	d1,2(|h|	NUM
ejpam-3395	107	22	)	)	PUNCT
ejpam-3395	107	23	∩	∩	NOUN
ejpam-3395	107	24	(	(	PUNCT
ejpam-3395	107	25	lϕ[0	lϕ[0	PROPN
ejpam-3395	107	26	,	,	PUNCT
ejpam-3395	107	27	t	t	NOUN
ejpam-3395	107	28	]	]	PUNCT
ejpam-3395	107	29	)	)	PUNCT
ejpam-3395	107	30	,	,	PUNCT
ejpam-3395	107	31	then	then	ADV
ejpam-3395	107	32	for	for	ADP
ejpam-3395	107	33	every	every	DET
ejpam-3395	107	34	t	t	NOUN
ejpam-3395	107	35	<	<	X
ejpam-3395	107	36	∞	∞	PROPN
ejpam-3395	107	37	,	,	PUNCT
ejpam-3395	107	38	e	e	PROPN
ejpam-3395	108	1	[	[	X
ejpam-3395	108	2	∫	∫	X
ejpam-3395	108	3	t	t	PROPN
ejpam-3395	108	4	0	0	NUM
ejpam-3395	108	5	u(s)d	u(s)d	PROPN
ejpam-3395	108	6	◦	◦	NOUN
ejpam-3395	108	7	bhs	bhs	PROPN
ejpam-3395	108	8	]	]	SYM
ejpam-3395	108	9	2	2	NUM
ejpam-3395	108	10	≤	≤	NUM
ejpam-3395	108	11	2ht	2ht	NOUN
ejpam-3395	108	12	2h−1e	2h−1e	PUNCT
ejpam-3395	109	1	[	[	X
ejpam-3395	109	2	∫	∫	X
ejpam-3395	109	3	t	t	PROPN
ejpam-3395	109	4	0	0	NUM
ejpam-3395	109	5	|u(s)|2ds	|u(s)|2ds	NOUN
ejpam-3395	109	6	]	]	PUNCT
ejpam-3395	110	1	+	+	NUM
ejpam-3395	110	2	4te	4te	ADJ
ejpam-3395	110	3	[	[	X
ejpam-3395	110	4	∫	∫	X
ejpam-3395	110	5	t	t	PROPN
ejpam-3395	110	6	0	0	NUM
ejpam-3395	110	7	dϕ	dϕ	NOUN
ejpam-3395	110	8	s	s	PART
ejpam-3395	110	9	u(s	u(s	PROPN
ejpam-3395	110	10	)	)	PUNCT
ejpam-3395	110	11	]	]	SYM
ejpam-3395	110	12	2	2	NUM
ejpam-3395	110	13	ds	ds	X
ejpam-3395	110	14	.	.	PUNCT
ejpam-3395	111	1	(	(	PUNCT
ejpam-3395	111	2	15	15	NUM
ejpam-3395	111	3	)	)	PUNCT
ejpam-3395	111	4	proof	proof	NOUN
ejpam-3395	111	5	.	.	PUNCT
ejpam-3395	112	1	we	we	PRON
ejpam-3395	112	2	have	have	VERB
ejpam-3395	112	3	:	:	PUNCT
ejpam-3395	112	4	e	e	X
ejpam-3395	113	1	[	[	X
ejpam-3395	113	2	∫	∫	X
ejpam-3395	113	3	t	t	PROPN
ejpam-3395	113	4	0	0	NUM
ejpam-3395	113	5	u(s)d	u(s)d	PROPN
ejpam-3395	113	6	◦	◦	NOUN
ejpam-3395	113	7	bhs	bhs	PROPN
ejpam-3395	113	8	]	]	X
ejpam-3395	113	9	2	2	NUM
ejpam-3395	113	10	=	=	SYM
ejpam-3395	113	11	e	e	X
ejpam-3395	114	1	[	[	X
ejpam-3395	114	2	∫	∫	X
ejpam-3395	114	3	t	t	PROPN
ejpam-3395	114	4	0	0	NUM
ejpam-3395	114	5	u(s	u(s	ADJ
ejpam-3395	114	6	)	)	PUNCT
ejpam-3395	114	7	�	�	PROPN
ejpam-3395	114	8	dbhs	dbhs	PROPN
ejpam-3395	115	1	+	+	CCONJ
ejpam-3395	115	2	∫	∫	PROPN
ejpam-3395	115	3	t	t	NOUN
ejpam-3395	115	4	0	0	NUM
ejpam-3395	115	5	dϕ	dϕ	PROPN
ejpam-3395	115	6	t	t	X
ejpam-3395	115	7	u(s)ds	u(s)ds	ADP
ejpam-3395	115	8	]	]	SYM
ejpam-3395	115	9	2	2	NUM
ejpam-3395	115	10	≤	≤	NOUN
ejpam-3395	115	11	2e	2e	NOUN
ejpam-3395	116	1	[	[	X
ejpam-3395	116	2	∫	∫	X
ejpam-3395	116	3	t	t	PROPN
ejpam-3395	116	4	0	0	NUM
ejpam-3395	116	5	u(s	u(s	ADJ
ejpam-3395	116	6	)	)	PUNCT
ejpam-3395	116	7	�	�	PROPN
ejpam-3395	116	8	dbhs	dbhs	PROPN
ejpam-3395	116	9	]	]	PUNCT
ejpam-3395	117	1	+	+	CCONJ
ejpam-3395	117	2	2e	2e	PROPN
ejpam-3395	117	3	[	[	X
ejpam-3395	117	4	∫	∫	X
ejpam-3395	117	5	t	t	X
ejpam-3395	117	6	0	0	NUM
ejpam-3395	117	7	dϕ	dϕ	NOUN
ejpam-3395	117	8	s	s	PART
ejpam-3395	117	9	u(s	u(s	PROPN
ejpam-3395	117	10	)	)	PUNCT
ejpam-3395	117	11	]	]	SYM
ejpam-3395	117	12	2	2	NUM
ejpam-3395	117	13	ds	ds	ADJ
ejpam-3395	117	14	≤	≤	NUM
ejpam-3395	117	15	2ht	2ht	NOUN
ejpam-3395	117	16	2h−1e	2h−1e	PUNCT
ejpam-3395	118	1	[	[	X
ejpam-3395	118	2	∫	∫	X
ejpam-3395	118	3	t	t	PROPN
ejpam-3395	118	4	0	0	NUM
ejpam-3395	118	5	|u(s)|2ds	|u(s)|2ds	NOUN
ejpam-3395	118	6	]	]	PUNCT
ejpam-3395	119	1	+	+	NUM
ejpam-3395	119	2	4te	4te	ADJ
ejpam-3395	119	3	[	[	X
ejpam-3395	119	4	∫	∫	X
ejpam-3395	119	5	t	t	PROPN
ejpam-3395	119	6	0	0	NUM
ejpam-3395	119	7	dϕ	dϕ	NOUN
ejpam-3395	119	8	s	s	PART
ejpam-3395	119	9	u(s	u(s	PROPN
ejpam-3395	119	10	)	)	PUNCT
ejpam-3395	119	11	]	]	SYM
ejpam-3395	119	12	2	2	NUM
ejpam-3395	119	13	ds	ds	NOUN
ejpam-3395	119	14	.	.	PROPN
ejpam-3395	119	15	2.2	2.2	NUM
ejpam-3395	119	16	.	.	PUNCT
ejpam-3395	120	1	hypothesis	hypothesis	NOUN
ejpam-3395	120	2	of	of	ADP
ejpam-3395	120	3	non	non	ADJ
ejpam-3395	120	4	-	-	ADJ
ejpam-3395	120	5	lipschitz	lipschitz	ADJ
ejpam-3395	120	6	condition	condition	NOUN
ejpam-3395	120	7	throughout	throughout	ADP
ejpam-3395	120	8	this	this	DET
ejpam-3395	120	9	paper	paper	NOUN
ejpam-3395	120	10	we	we	PRON
ejpam-3395	120	11	assume	assume	VERB
ejpam-3395	120	12	that	that	SCONJ
ejpam-3395	120	13	the	the	DET
ejpam-3395	120	14	coefficients	coefficient	NOUN
ejpam-3395	120	15	µ	µ	NUM
ejpam-3395	120	16	,	,	PUNCT
ejpam-3395	120	17	σ1	σ1	NOUN
ejpam-3395	120	18	and	and	CCONJ
ejpam-3395	120	19	σ2	σ2	PROPN
ejpam-3395	120	20	,	,	PUNCT
ejpam-3395	120	21	which	which	PRON
ejpam-3395	120	22	are	be	AUX
ejpam-3395	120	23	continuous	continuous	ADJ
ejpam-3395	120	24	,	,	PUNCT
ejpam-3395	120	25	satisfy	satisfy	VERB
ejpam-3395	120	26	,	,	PUNCT
ejpam-3395	120	27	for	for	ADP
ejpam-3395	120	28	all	all	DET
ejpam-3395	120	29	x	x	NOUN
ejpam-3395	120	30	,	,	PUNCT
ejpam-3395	120	31	y	y	PROPN
ejpam-3395	120	32	∈	∈	PROPN
ejpam-3395	120	33	rn	rn	PROPN
ejpam-3395	120	34	and	and	CCONJ
ejpam-3395	120	35	t	t	PROPN
ejpam-3395	120	36	∈	∈	PROPN
ejpam-3395	121	1	[	[	X
ejpam-3395	121	2	0	0	NUM
ejpam-3395	121	3	,	,	PUNCT
ejpam-3395	121	4	t	t	X
ejpam-3395	121	5	]	]	PUNCT
ejpam-3395	121	6	,	,	PUNCT
ejpam-3395	121	7	the	the	DET
ejpam-3395	121	8	assumptions	assumption	NOUN
ejpam-3395	121	9	(	(	PUNCT
ejpam-3395	121	10	a.1	a.1	NOUN
ejpam-3395	121	11	)	)	PUNCT
ejpam-3395	121	12	and	and	CCONJ
ejpam-3395	121	13	(	(	PUNCT
ejpam-3395	121	14	a.2	a.2	PUNCT
ejpam-3395	121	15	):	):	PUNCT
ejpam-3395	121	16	a.1	a.1	NOUN
ejpam-3395	121	17	the	the	DET
ejpam-3395	121	18	functions	function	NOUN
ejpam-3395	121	19	µ	µ	X
ejpam-3395	121	20	and	and	CCONJ
ejpam-3395	121	21	σ1	σ1	PROPN
ejpam-3395	121	22	have	have	VERB
ejpam-3395	121	23	a	a	DET
ejpam-3395	121	24	linear	linear	ADJ
ejpam-3395	121	25	growth	growth	NOUN
ejpam-3395	121	26	and	and	CCONJ
ejpam-3395	121	27	satisfy	satisfy	VERB
ejpam-3395	121	28	suitable	suitable	ADJ
ejpam-3395	121	29	modulus	modulus	NOUN
ejpam-3395	121	30	of	of	ADP
ejpam-3395	121	31	continuity	continuity	NOUN
ejpam-3395	121	32	with	with	ADP
ejpam-3395	121	33	respect	respect	NOUN
ejpam-3395	121	34	to	to	ADP
ejpam-3395	121	35	variable	variable	NOUN
ejpam-3395	121	36	x	x	SYM
ejpam-3395	121	37	uniformly	uniformly	ADV
ejpam-3395	121	38	in	in	ADP
ejpam-3395	121	39	t.	t.	PROPN
ejpam-3395	121	40	assumption	assumption	NOUN
ejpam-3395	121	41	a.1	a.1	PROPN
ejpam-3395	121	42	means	mean	VERB
ejpam-3395	121	43	that	that	SCONJ
ejpam-3395	121	44	µ	µ	NOUN
ejpam-3395	121	45	and	and	CCONJ
ejpam-3395	121	46	σ1	σ1	PROPN
ejpam-3395	121	47	satisfy	satisfy	NOUN
ejpam-3395	121	48	:	:	PUNCT
ejpam-3395	121	49	a.1.1	a.1.1	PROPN
ejpam-3395	121	50	µ(t	µ(t	ADJ
ejpam-3395	121	51	,	,	PUNCT
ejpam-3395	121	52	x)|	x)|	PROPN
ejpam-3395	121	53	≤	≤	PROPN
ejpam-3395	122	1	k(1	k(1	PROPN
ejpam-3395	122	2	+	+	CCONJ
ejpam-3395	122	3	|x|	|x|	PROPN
ejpam-3395	122	4	)	)	PUNCT
ejpam-3395	122	5	a.1.2	a.1.2	PROPN
ejpam-3395	122	6	|µ(t	|µ(t	PROPN
ejpam-3395	122	7	,	,	PUNCT
ejpam-3395	122	8	x)−	x)−	PROPN
ejpam-3395	122	9	µ(t	µ(t	PROPN
ejpam-3395	122	10	,	,	PUNCT
ejpam-3395	122	11	y)|2	y)|2	NOUN
ejpam-3395	122	12	≤	≤	NUM
ejpam-3395	123	1	%	%	NOUN
ejpam-3395	123	2	(	(	PUNCT
ejpam-3395	123	3	|x−	|x−	NOUN
ejpam-3395	123	4	y|2	y|2	PROPN
ejpam-3395	123	5	)	)	PUNCT
ejpam-3395	123	6	a.1.3	a.1.3	PROPN
ejpam-3395	123	7	σ1(t	σ1(t	PROPN
ejpam-3395	123	8	,	,	PUNCT
ejpam-3395	123	9	x)|	x)|	PROPN
ejpam-3395	123	10	≤	≤	PROPN
ejpam-3395	124	1	k(1	k(1	PROPN
ejpam-3395	124	2	+	+	CCONJ
ejpam-3395	124	3	|x|	|x|	PROPN
ejpam-3395	124	4	)	)	PUNCT
ejpam-3395	124	5	a.1.4	a.1.4	PROPN
ejpam-3395	124	6	σ1(t	σ1(t	PROPN
ejpam-3395	124	7	,	,	PUNCT
ejpam-3395	124	8	x)−	x)−	PROPN
ejpam-3395	124	9	σ1(t	σ1(t	PROPN
ejpam-3395	124	10	,	,	PUNCT
ejpam-3395	124	11	y	y	NOUN
ejpam-3395	124	12	)	)	PUNCT
ejpam-3395	124	13	≤	≤	NUM
ejpam-3395	124	14	%	%	NOUN
ejpam-3395	124	15	(	(	PUNCT
ejpam-3395	124	16	|x−	|x−	NOUN
ejpam-3395	124	17	y|2	y|2	PROPN
ejpam-3395	124	18	)	)	PUNCT
ejpam-3395	124	19	,	,	PUNCT
ejpam-3395	124	20	where	where	SCONJ
ejpam-3395	124	21	%	%	NOUN
ejpam-3395	124	22	is	be	AUX
ejpam-3395	124	23	a	a	DET
ejpam-3395	124	24	concave	concave	NOUN
ejpam-3395	124	25	increasing	increase	VERB
ejpam-3395	124	26	function	function	NOUN
ejpam-3395	124	27	from	from	ADP
ejpam-3395	124	28	r+	r+	NOUN
ejpam-3395	124	29	to	to	ADP
ejpam-3395	124	30	r+	r+	NOUN
ejpam-3395	124	31	such	such	ADJ
ejpam-3395	124	32	that	that	DET
ejpam-3395	124	33	%	%	NOUN
ejpam-3395	124	34	(	(	PUNCT
ejpam-3395	124	35	0	0	NUM
ejpam-3395	124	36	)	)	PUNCT
ejpam-3395	124	37	=	=	SYM
ejpam-3395	124	38	0	0	NUM
ejpam-3395	124	39	,	,	PUNCT
ejpam-3395	124	40	%	%	INTJ
ejpam-3395	124	41	(	(	PUNCT
ejpam-3395	124	42	u	u	NOUN
ejpam-3395	124	43	)	)	PUNCT
ejpam-3395	124	44	>	>	X
ejpam-3395	124	45	0	0	PUNCT
ejpam-3395	125	1	for	for	ADP
ejpam-3395	125	2	u	u	PROPN
ejpam-3395	125	3	>	>	X
ejpam-3395	125	4	0	0	PUNCT
ejpam-3395	125	5	and	and	CCONJ
ejpam-3395	125	6	∫	∫	PROPN
ejpam-3395	125	7	0	0	NUM
ejpam-3395	125	8	+	+	NUM
ejpam-3395	125	9	du	du	PROPN
ejpam-3395	125	10	%	%	NOUN
ejpam-3395	125	11	(	(	PUNCT
ejpam-3395	125	12	u	u	NOUN
ejpam-3395	125	13	)	)	PUNCT
ejpam-3395	125	14	=	=	PUNCT
ejpam-3395	126	1	+	+	NUM
ejpam-3395	126	2	∞.	∞.	PROPN
ejpam-3395	126	3	(	(	PUNCT
ejpam-3395	126	4	16	16	NUM
ejpam-3395	126	5	)	)	PUNCT
ejpam-3395	126	6	a.2	a.2	VERB
ejpam-3395	126	7	the	the	DET
ejpam-3395	126	8	functions	function	NOUN
ejpam-3395	126	9	µ(t	µ(t	ADJ
ejpam-3395	126	10	,	,	PUNCT
ejpam-3395	126	11	0	0	NUM
ejpam-3395	126	12	)	)	PUNCT
ejpam-3395	126	13	and	and	CCONJ
ejpam-3395	126	14	σ2(t	σ2(t	PROPN
ejpam-3395	126	15	,	,	PUNCT
ejpam-3395	126	16	0	0	NUM
ejpam-3395	126	17	)	)	PUNCT
ejpam-3395	126	18	are	be	AUX
ejpam-3395	126	19	locally	locally	ADV
ejpam-3395	126	20	integral	integral	ADJ
ejpam-3395	126	21	with	with	ADP
ejpam-3395	126	22	respect	respect	NOUN
ejpam-3395	126	23	to	to	ADP
ejpam-3395	126	24	t	t	PROPN
ejpam-3395	126	25	,	,	PUNCT
ejpam-3395	126	26	and	and	CCONJ
ejpam-3395	126	27	the	the	DET
ejpam-3395	126	28	function	function	NOUN
ejpam-3395	126	29	σ2	σ2	PROPN
ejpam-3395	126	30	is	be	AUX
ejpam-3395	126	31	continuously	continuously	ADV
ejpam-3395	126	32	differentiable	differentiable	ADJ
ejpam-3395	126	33	in	in	ADP
ejpam-3395	126	34	the	the	DET
ejpam-3395	126	35	first	first	ADJ
ejpam-3395	126	36	variable	variable	ADJ
ejpam-3395	126	37	t.	t.	NOUN
ejpam-3395	126	38	assumption	assumption	NOUN
ejpam-3395	126	39	a.2	a.2	PUNCT
ejpam-3395	126	40	means	mean	VERB
ejpam-3395	126	41	that	that	SCONJ
ejpam-3395	126	42	µ	µ	NOUN
ejpam-3395	126	43	and	and	CCONJ
ejpam-3395	126	44	σ2	σ2	PROPN
ejpam-3395	126	45	satisfy	satisfy	NOUN
ejpam-3395	126	46	∀t	∀t	PROPN
ejpam-3395	126	47	∈	∈	PROPN
ejpam-3395	127	1	[	[	X
ejpam-3395	127	2	0	0	NUM
ejpam-3395	127	3	,	,	PUNCT
ejpam-3395	127	4	t	t	X
ejpam-3395	127	5	]	]	PUNCT
ejpam-3395	127	6	,	,	PUNCT
ejpam-3395	127	7	µ(t	µ(t	ADJ
ejpam-3395	127	8	,	,	PUNCT
ejpam-3395	127	9	.	.	PUNCT
ejpam-3395	127	10	)	)	PUNCT
ejpam-3395	127	11	,	,	PUNCT
ejpam-3395	127	12	σ2(t	σ2(t	PROPN
ejpam-3395	127	13	,	,	PUNCT
ejpam-3395	127	14	.	.	PUNCT
ejpam-3395	127	15	)	)	PUNCT
ejpam-3395	128	1	∈	∈	PROPN
ejpam-3395	128	2	lϕ([0	lϕ([0	VERB
ejpam-3395	128	3	,	,	PUNCT
ejpam-3395	128	4	t	t	X
ejpam-3395	128	5	]	]	PUNCT
ejpam-3395	128	6	)	)	PUNCT
ejpam-3395	128	7	∩	∩	NOUN
ejpam-3395	128	8	d1,2(|h|	d1,2(|h|	NUM
ejpam-3395	128	9	):	):	PUNCT
ejpam-3395	128	10	e	e	PROPN
ejpam-3395	128	11	|µ̃(t	|µ̃(t	PROPN
ejpam-3395	128	12	,	,	PUNCT
ejpam-3395	128	13	x	x	X
ejpam-3395	128	14	,	,	PUNCT
ejpam-3395	128	15	y)|2	y)|2	X
ejpam-3395	129	1	+	+	CCONJ
ejpam-3395	129	2	e	e	X
ejpam-3395	129	3	|σ̃2(t	|σ̃2(t	PROPN
ejpam-3395	129	4	,	,	PUNCT
ejpam-3395	129	5	x	x	NOUN
ejpam-3395	129	6	,	,	PUNCT
ejpam-3395	129	7	y)|2	y)|2	X
ejpam-3395	130	1	+	+	CCONJ
ejpam-3395	130	2	e|dϕ	e|dϕ	SYM
ejpam-3395	130	3	t	t	NOUN
ejpam-3395	130	4	(	(	PUNCT
ejpam-3395	130	5	σ̃2(t	σ̃2(t	PROPN
ejpam-3395	130	6	,	,	PUNCT
ejpam-3395	130	7	x	x	PRON
ejpam-3395	130	8	,	,	PUNCT
ejpam-3395	130	9	y))|2	y))|2	PROPN
ejpam-3395	130	10	≤	≤	PROPN
ejpam-3395	130	11	%	%	NOUN
ejpam-3395	130	12	(	(	PUNCT
ejpam-3395	130	13	e|x−	e|x−	X
ejpam-3395	130	14	y|2	y|2	PROPN
ejpam-3395	130	15	)	)	PUNCT
ejpam-3395	130	16	,	,	PUNCT
ejpam-3395	130	17	(	(	PUNCT
ejpam-3395	130	18	17	17	NUM
ejpam-3395	130	19	)	)	PUNCT
ejpam-3395	130	20	with	with	ADP
ejpam-3395	130	21	ϕ	ϕ	NOUN
ejpam-3395	130	22	is	be	AUX
ejpam-3395	130	23	given	give	VERB
ejpam-3395	130	24	by	by	ADP
ejpam-3395	130	25	(	(	PUNCT
ejpam-3395	130	26	7),and	7),and	NUM
ejpam-3395	130	27	{	{	PUNCT
ejpam-3395	130	28	σ̃2(t	σ̃2(t	NOUN
ejpam-3395	130	29	,	,	PUNCT
ejpam-3395	130	30	x	x	NOUN
ejpam-3395	130	31	,	,	PUNCT
ejpam-3395	130	32	y	y	NOUN
ejpam-3395	130	33	)	)	PUNCT
ejpam-3395	130	34	=	=	SYM
ejpam-3395	130	35	σ2(t	σ2(t	PROPN
ejpam-3395	130	36	,	,	PUNCT
ejpam-3395	130	37	x)−	x)−	PROPN
ejpam-3395	130	38	σ2(t	σ2(t	PROPN
ejpam-3395	130	39	,	,	PUNCT
ejpam-3395	130	40	y	y	NOUN
ejpam-3395	130	41	)	)	PUNCT
ejpam-3395	130	42	µ̃(t	µ̃(t	PROPN
ejpam-3395	130	43	,	,	PUNCT
ejpam-3395	130	44	x	x	NOUN
ejpam-3395	130	45	,	,	PUNCT
ejpam-3395	130	46	y	y	NOUN
ejpam-3395	130	47	)	)	PUNCT
ejpam-3395	130	48	=	=	PUNCT
ejpam-3395	131	1	µ(t	µ(t	PROPN
ejpam-3395	131	2	,	,	PUNCT
ejpam-3395	131	3	x)−	x)−	PROPN
ejpam-3395	131	4	µ(t	µ(t	PROPN
ejpam-3395	131	5	,	,	PUNCT
ejpam-3395	131	6	y	y	NOUN
ejpam-3395	131	7	)	)	PUNCT
ejpam-3395	131	8	.	.	PUNCT
ejpam-3395	132	1	(	(	PUNCT
ejpam-3395	132	2	18	18	NUM
ejpam-3395	132	3	)	)	PUNCT
ejpam-3395	132	4	the	the	DET
ejpam-3395	132	5	non	non	ADJ
ejpam-3395	132	6	-	-	ADJ
ejpam-3395	132	7	lipschitz	lipschitz	ADJ
ejpam-3395	132	8	condition	condition	NOUN
ejpam-3395	132	9	has	have	VERB
ejpam-3395	132	10	a	a	DET
ejpam-3395	132	11	variety	variety	NOUN
ejpam-3395	132	12	of	of	ADP
ejpam-3395	132	13	forms	form	NOUN
ejpam-3395	132	14	[	[	X
ejpam-3395	132	15	4	4	NUM
ejpam-3395	132	16	]	]	PUNCT
ejpam-3395	132	17	,	,	PUNCT
ejpam-3395	132	18	[	[	X
ejpam-3395	132	19	27	27	NUM
ejpam-3395	132	20	]	]	PUNCT
ejpam-3395	132	21	,	,	PUNCT
ejpam-3395	132	22	[	[	X
ejpam-3395	132	23	1	1	NUM
ejpam-3395	132	24	]	]	PUNCT
ejpam-3395	132	25	and	and	CCONJ
ejpam-3395	132	26	[	[	X
ejpam-3395	132	27	28	28	NUM
ejpam-3395	132	28	]	]	PUNCT
ejpam-3395	132	29	.	.	PUNCT
ejpam-3395	133	1	d.	d.	PROPN
ejpam-3395	133	2	a.	a.	PROPN
ejpam-3395	133	3	n.	n.	PROPN
ejpam-3395	133	4	njamen	njamen	PROPN
ejpam-3395	133	5	,	,	PUNCT
ejpam-3395	133	6	e.	e.	PROPN
ejpam-3395	133	7	djeutcha	djeutcha	PROPN
ejpam-3395	133	8	/	/	SYM
ejpam-3395	133	9	eur	eur	PROPN
ejpam-3395	133	10	.	.	PUNCT
ejpam-3395	134	1	j.	j.	PROPN
ejpam-3395	134	2	pure	pure	PROPN
ejpam-3395	134	3	appl	appl	PROPN
ejpam-3395	134	4	.	.	PROPN
ejpam-3395	134	5	math	math	PROPN
ejpam-3395	134	6	,	,	PUNCT
ejpam-3395	134	7	12	12	NUM
ejpam-3395	134	8	(	(	PUNCT
ejpam-3395	134	9	2	2	NUM
ejpam-3395	134	10	)	)	PUNCT
ejpam-3395	134	11	(	(	PUNCT
ejpam-3395	134	12	2019	2019	NUM
ejpam-3395	134	13	)	)	PUNCT
ejpam-3395	134	14	,	,	PUNCT
ejpam-3395	134	15	448	448	NUM
ejpam-3395	134	16	-	-	SYM
ejpam-3395	134	17	468	468	NUM
ejpam-3395	134	18	453	453	NUM
ejpam-3395	134	19	now	now	ADV
ejpam-3395	134	20	,	,	PUNCT
ejpam-3395	134	21	let	let	VERB
ejpam-3395	134	22	define	define	VERB
ejpam-3395	134	23	two	two	NUM
ejpam-3395	134	24	sequences	sequence	NOUN
ejpam-3395	134	25	of	of	ADP
ejpam-3395	134	26	functions	function	NOUN
ejpam-3395	134	27	{	{	PUNCT
ejpam-3395	134	28	χn(t)}n=1,2	χn(t)}n=1,2	NOUN
ejpam-3395	134	29	,	,	PUNCT
ejpam-3395	134	30	...	...	PUNCT
ejpam-3395	134	31	and	and	CCONJ
ejpam-3395	134	32	{	{	PUNCT
ejpam-3395	134	33	χ̃n	χ̃n	PROPN
ejpam-3395	134	34	,	,	PUNCT
ejpam-3395	134	35	p(t)}n=1,2	p(t)}n=1,2	NOUN
ejpam-3395	134	36	,	,	PUNCT
ejpam-3395	134	37	...	...	PUNCT
ejpam-3395	134	38	such	such	ADJ
ejpam-3395	134	39	that	that	SCONJ
ejpam-3395	134	40	χ1(t	χ1(t	VERB
ejpam-3395	134	41	)	)	PUNCT
ejpam-3395	135	1	=	=	SYM
ejpam-3395	135	2	ct	ct	PROPN
ejpam-3395	135	3	,	,	PUNCT
ejpam-3395	135	4	χn+1(t	χn+1(t	PROPN
ejpam-3395	135	5	)	)	PUNCT
ejpam-3395	136	1	=	=	SYM
ejpam-3395	137	1	∫	∫	PROPN
ejpam-3395	137	2	t	t	NOUN
ejpam-3395	137	3	0	0	NUM
ejpam-3395	138	1	%	%	NOUN
ejpam-3395	138	2	1(χn(s))ds	1(χn(s))ds	NUM
ejpam-3395	138	3	and	and	CCONJ
ejpam-3395	138	4	χ̃n	χ̃n	NOUN
ejpam-3395	138	5	,	,	PUNCT
ejpam-3395	138	6	p(t	p(t	NOUN
ejpam-3395	138	7	)	)	PUNCT
ejpam-3395	139	1	=	=	PUNCT
ejpam-3395	139	2	sup	sup	NOUN
ejpam-3395	139	3	0≤s≤t	0≤s≤t	NUM
ejpam-3395	139	4	e	e	X
ejpam-3395	139	5	|xn+p(s)−xn(s)|2	|xn+p(s)−xn(s)|2	PROPN
ejpam-3395	139	6	,	,	PUNCT
ejpam-3395	139	7	n	n	NOUN
ejpam-3395	139	8	=	=	SYM
ejpam-3395	139	9	1	1	NUM
ejpam-3395	139	10	,	,	PUNCT
ejpam-3395	139	11	2	2	NUM
ejpam-3395	139	12	,	,	PUNCT
ejpam-3395	139	13	.	.	PUNCT
ejpam-3395	139	14	.	.	PUNCT
ejpam-3395	139	15	.	.	PUNCT
ejpam-3395	139	16	.	.	PUNCT
ejpam-3395	140	1	where	where	SCONJ
ejpam-3395	140	2	p	p	NOUN
ejpam-3395	140	3	≥	≥	NOUN
ejpam-3395	140	4	1	1	NUM
ejpam-3395	140	5	is	be	AUX
ejpam-3395	140	6	fixed	fix	VERB
ejpam-3395	140	7	arbitrarily	arbitrarily	ADV
ejpam-3395	140	8	.	.	PUNCT
ejpam-3395	141	1	lemma	lemma	PROPN
ejpam-3395	141	2	2	2	NUM
ejpam-3395	141	3	.	.	PUNCT
ejpam-3395	141	4	(	(	PUNCT
ejpam-3395	141	5	liu	liu	PROPN
ejpam-3395	141	6	,	,	PUNCT
ejpam-3395	141	7	[	[	X
ejpam-3395	141	8	20	20	NUM
ejpam-3395	141	9	]	]	PUNCT
ejpam-3395	141	10	)	)	PUNCT
ejpam-3395	141	11	under	under	ADP
ejpam-3395	141	12	the	the	DET
ejpam-3395	141	13	non	non	ADJ
ejpam-3395	141	14	-	-	ADJ
ejpam-3395	141	15	lipschitz	lipschitz	ADJ
ejpam-3395	141	16	condition	condition	NOUN
ejpam-3395	141	17	,	,	PUNCT
ejpam-3395	141	18	0	0	NUM
ejpam-3395	141	19	≤	≤	NUM
ejpam-3395	141	20	χ̃n	χ̃n	NOUN
ejpam-3395	141	21	,	,	PUNCT
ejpam-3395	141	22	p(t	p(t	NOUN
ejpam-3395	141	23	)	)	PUNCT
ejpam-3395	141	24	≤	≤	NOUN
ejpam-3395	141	25	χn(t	χn(t	NOUN
ejpam-3395	141	26	)	)	PUNCT
ejpam-3395	141	27	≤	≤	NUM
ejpam-3395	141	28	χn−1(t	χn−1(t	PROPN
ejpam-3395	141	29	)	)	PUNCT
ejpam-3395	141	30	≤	≤	NOUN
ejpam-3395	141	31	.	.	PUNCT
ejpam-3395	141	32	.	.	PUNCT
ejpam-3395	141	33	.	.	PUNCT
ejpam-3395	142	1	≤	≤	NUM
ejpam-3395	142	2	χ1(t	χ1(t	PART
ejpam-3395	142	3	)	)	PUNCT
ejpam-3395	142	4	,	,	PUNCT
ejpam-3395	142	5	(	(	PUNCT
ejpam-3395	142	6	19	19	NUM
ejpam-3395	142	7	)	)	PUNCT
ejpam-3395	142	8	for	for	ADP
ejpam-3395	142	9	all	all	DET
ejpam-3395	142	10	positive	positive	ADJ
ejpam-3395	142	11	integer	integer	NOUN
ejpam-3395	142	12	n.	n.	NOUN
ejpam-3395	142	13	lemma	lemma	PROPN
ejpam-3395	143	1	3	3	X
ejpam-3395	143	2	.	.	PUNCT
ejpam-3395	143	3	there	there	PRON
ejpam-3395	143	4	exists	exist	VERB
ejpam-3395	143	5	a	a	DET
ejpam-3395	143	6	positive	positive	ADJ
ejpam-3395	143	7	number	number	NOUN
ejpam-3395	143	8	g	g	NOUN
ejpam-3395	143	9	,	,	PUNCT
ejpam-3395	143	10	∀µ(t	∀µ(t	PROPN
ejpam-3395	143	11	,	,	PUNCT
ejpam-3395	143	12	·	·	PUNCT
ejpam-3395	143	13	)	)	PUNCT
ejpam-3395	143	14	,	,	PUNCT
ejpam-3395	143	15	σ2(t	σ2(t	PROPN
ejpam-3395	143	16	,	,	PUNCT
ejpam-3395	143	17	·	·	PUNCT
ejpam-3395	143	18	)	)	PUNCT
ejpam-3395	143	19	∈	∈	NOUN
ejpam-3395	143	20	lϕ([0	lϕ([0	VERB
ejpam-3395	143	21	,	,	PUNCT
ejpam-3395	143	22	t	t	X
ejpam-3395	143	23	]	]	PUNCT
ejpam-3395	143	24	)	)	PUNCT
ejpam-3395	143	25	∩	∩	NOUN
ejpam-3395	143	26	d1,2(|h|	d1,2(|h|	NUM
ejpam-3395	143	27	)	)	PUNCT
ejpam-3395	143	28	,	,	PUNCT
ejpam-3395	143	29	e	e	PROPN
ejpam-3395	143	30	|µ(t	|µ(t	PROPN
ejpam-3395	143	31	,	,	PUNCT
ejpam-3395	143	32	x)|2	x)|2	X
ejpam-3395	144	1	+	+	CCONJ
ejpam-3395	144	2	e	e	X
ejpam-3395	144	3	|σ2(t	|σ2(t	PROPN
ejpam-3395	144	4	,	,	PUNCT
ejpam-3395	144	5	x)|2	x)|2	X
ejpam-3395	145	1	+	+	CCONJ
ejpam-3395	145	2	e	e	X
ejpam-3395	145	3	|dϕ	|dϕ	NUM
ejpam-3395	145	4	t	t	PROPN
ejpam-3395	145	5	(	(	PUNCT
ejpam-3395	145	6	σ2(t	σ2(t	PROPN
ejpam-3395	145	7	,	,	PUNCT
ejpam-3395	145	8	x))|2	x))|2	PROPN
ejpam-3395	145	9	≤	≤	PROPN
ejpam-3395	145	10	g	g	PROPN
ejpam-3395	145	11	(	(	PUNCT
ejpam-3395	145	12	1	1	NUM
ejpam-3395	145	13	+	+	CCONJ
ejpam-3395	145	14	e|x|2	e|x|2	PROPN
ejpam-3395	145	15	)	)	PUNCT
ejpam-3395	145	16	.	.	PUNCT
ejpam-3395	146	1	(	(	PUNCT
ejpam-3395	146	2	20	20	X
ejpam-3395	146	3	)	)	PUNCT
ejpam-3395	146	4	proof	proof	NOUN
ejpam-3395	146	5	.	.	PUNCT
ejpam-3395	147	1	since	since	SCONJ
ejpam-3395	147	2	%	%	INTJ
ejpam-3395	147	3	(	(	PUNCT
ejpam-3395	147	4	u	u	NOUN
ejpam-3395	147	5	)	)	PUNCT
ejpam-3395	147	6	is	be	AUX
ejpam-3395	147	7	a	a	DET
ejpam-3395	147	8	concave	concave	ADJ
ejpam-3395	147	9	and	and	CCONJ
ejpam-3395	147	10	non	non	ADJ
ejpam-3395	147	11	-	-	ADJ
ejpam-3395	147	12	negative	negative	ADJ
ejpam-3395	147	13	function	function	NOUN
ejpam-3395	147	14	,	,	PUNCT
ejpam-3395	147	15	we	we	PRON
ejpam-3395	147	16	can	can	AUX
ejpam-3395	147	17	choose	choose	VERB
ejpam-3395	147	18	two	two	NUM
ejpam-3395	147	19	positive	positive	ADJ
ejpam-3395	147	20	constants	constant	NOUN
ejpam-3395	147	21	a	a	DET
ejpam-3395	147	22	>	>	X
ejpam-3395	147	23	0	0	NUM
ejpam-3395	148	1	and	and	CCONJ
ejpam-3395	148	2	b	b	X
ejpam-3395	148	3	>	>	X
ejpam-3395	148	4	0	0	NUM
ejpam-3395	148	5	,	,	PUNCT
ejpam-3395	148	6	so	so	SCONJ
ejpam-3395	148	7	that	that	SCONJ
ejpam-3395	148	8	κ(u	κ(u	NOUN
ejpam-3395	148	9	)	)	PUNCT
ejpam-3395	148	10	≤	≤	NOUN
ejpam-3395	148	11	a+	a+	PUNCT
ejpam-3395	148	12	bu	bu	PROPN
ejpam-3395	148	13	e|µ(t	e|µ(t	PROPN
ejpam-3395	148	14	,	,	PUNCT
ejpam-3395	148	15	x)|2	x)|2	PROPN
ejpam-3395	149	1	+	+	CCONJ
ejpam-3395	149	2	e|σ2(t	e|σ2(t	PROPN
ejpam-3395	149	3	,	,	PUNCT
ejpam-3395	149	4	x)|2	x)|2	X
ejpam-3395	150	1	+	+	CCONJ
ejpam-3395	150	2	e|dϕ	e|dϕ	SYM
ejpam-3395	150	3	t	t	NOUN
ejpam-3395	150	4	(	(	PUNCT
ejpam-3395	150	5	σ2(t	σ2(t	PROPN
ejpam-3395	150	6	,	,	PUNCT
ejpam-3395	150	7	x))|2	x))|2	PROPN
ejpam-3395	150	8	≤	≤	PROPN
ejpam-3395	150	9	2e	2e	X
ejpam-3395	150	10	(	(	PUNCT
ejpam-3395	150	11	|µ(t	|µ(t	PROPN
ejpam-3395	150	12	,	,	PUNCT
ejpam-3395	150	13	0)|2	0)|2	NOUN
ejpam-3395	150	14	+	+	CCONJ
ejpam-3395	150	15	|σ2(t	|σ2(t	NOUN
ejpam-3395	150	16	,	,	PUNCT
ejpam-3395	150	17	0)|2	0)|2	NUM
ejpam-3395	150	18	+	+	CCONJ
ejpam-3395	150	19	|dϕ	|dϕ	X
ejpam-3395	150	20	t	t	PROPN
ejpam-3395	150	21	(	(	PUNCT
ejpam-3395	150	22	σ2(t	σ2(t	PROPN
ejpam-3395	150	23	,	,	PUNCT
ejpam-3395	150	24	0))|2	0))|2	NOUN
ejpam-3395	150	25	)	)	PUNCT
ejpam-3395	151	1	+	+	CCONJ
ejpam-3395	151	2	2e|µ(t	2e|µ(t	NUM
ejpam-3395	151	3	,	,	PUNCT
ejpam-3395	151	4	x)−	x)−	PROPN
ejpam-3395	151	5	µ(t	µ(t	PROPN
ejpam-3395	151	6	,	,	PUNCT
ejpam-3395	151	7	0)|2	0)|2	NOUN
ejpam-3395	151	8	+	+	CCONJ
ejpam-3395	151	9	2e|σ2(t	2e|σ2(t	NOUN
ejpam-3395	151	10	,	,	PUNCT
ejpam-3395	151	11	x)−	x)−	PROPN
ejpam-3395	151	12	σ2(t	σ2(t	PROPN
ejpam-3395	151	13	,	,	PUNCT
ejpam-3395	151	14	0)|2	0)|2	NOUN
ejpam-3395	151	15	+	+	CCONJ
ejpam-3395	151	16	2e|dϕ	2e|dϕ	NUM
ejpam-3395	151	17	t	t	NOUN
ejpam-3395	151	18	(	(	PUNCT
ejpam-3395	151	19	σ2(t	σ2(t	PROPN
ejpam-3395	151	20	,	,	PUNCT
ejpam-3395	151	21	x))−	x))−	PROPN
ejpam-3395	151	22	σ2(t	σ2(t	NOUN
ejpam-3395	151	23	,	,	PUNCT
ejpam-3395	151	24	0)|2	0)|2	VERB
ejpam-3395	151	25	≤	≤	NUM
ejpam-3395	151	26	2	2	NUM
ejpam-3395	151	27	sup	sup	NOUN
ejpam-3395	151	28	0≤t≤t	0≤t≤t	NUM
ejpam-3395	151	29	e	e	X
ejpam-3395	151	30	(	(	PUNCT
ejpam-3395	151	31	|µ(t	|µ(t	PROPN
ejpam-3395	151	32	,	,	PUNCT
ejpam-3395	151	33	0)|2	0)|2	NOUN
ejpam-3395	151	34	+	+	CCONJ
ejpam-3395	151	35	|σ2(t	|σ2(t	NOUN
ejpam-3395	151	36	,	,	PUNCT
ejpam-3395	151	37	0)|2	0)|2	NUM
ejpam-3395	151	38	+	+	CCONJ
ejpam-3395	151	39	|dϕ	|dϕ	X
ejpam-3395	151	40	t	t	PROPN
ejpam-3395	151	41	(	(	PUNCT
ejpam-3395	151	42	σ2(t	σ2(t	PROPN
ejpam-3395	151	43	,	,	PUNCT
ejpam-3395	151	44	0))|2	0))|2	NOUN
ejpam-3395	151	45	)	)	PUNCT
ejpam-3395	152	1	+	+	CCONJ
ejpam-3395	152	2	2%(e(x)2	2%(e(x)2	NOUN
ejpam-3395	152	3	)	)	PUNCT
ejpam-3395	152	4	≤	≤	PUNCT
ejpam-3395	152	5	g(1	g(1	NOUN
ejpam-3395	152	6	+	+	CCONJ
ejpam-3395	152	7	e(x)2	e(x)2	NOUN
ejpam-3395	152	8	)	)	PUNCT
ejpam-3395	152	9	,	,	PUNCT
ejpam-3395	152	10	where	where	SCONJ
ejpam-3395	152	11	g	g	NOUN
ejpam-3395	152	12	=	=	SYM
ejpam-3395	152	13	2	2	NUM
ejpam-3395	152	14	sup	sup	NOUN
ejpam-3395	152	15	0≤t≤t	0≤t≤t	NUM
ejpam-3395	152	16	{	{	PUNCT
ejpam-3395	152	17	e	e	X
ejpam-3395	152	18	(	(	PUNCT
ejpam-3395	152	19	|µ(t	|µ(t	PROPN
ejpam-3395	152	20	,	,	PUNCT
ejpam-3395	152	21	0)|2	0)|2	NOUN
ejpam-3395	152	22	+	+	CCONJ
ejpam-3395	152	23	|σ2(t	|σ2(t	NOUN
ejpam-3395	152	24	,	,	PUNCT
ejpam-3395	152	25	0)|2	0)|2	NUM
ejpam-3395	152	26	+	+	CCONJ
ejpam-3395	152	27	|dϕ	|dϕ	X
ejpam-3395	152	28	t	t	PROPN
ejpam-3395	152	29	(	(	PUNCT
ejpam-3395	152	30	σ2(t	σ2(t	PROPN
ejpam-3395	152	31	,	,	PUNCT
ejpam-3395	152	32	0))|2	0))|2	NOUN
ejpam-3395	152	33	)	)	PUNCT
ejpam-3395	152	34	+	+	CCONJ
ejpam-3395	152	35	2a	2a	NUM
ejpam-3395	152	36	,	,	PUNCT
ejpam-3395	152	37	2b	2b	NOUN
ejpam-3395	152	38	}	}	PUNCT
ejpam-3395	152	39	<	<	X
ejpam-3395	152	40	∞.	∞.	PROPN
ejpam-3395	152	41	3	3	NUM
ejpam-3395	152	42	.	.	PUNCT
ejpam-3395	153	1	the	the	DET
ejpam-3395	153	2	main	main	ADJ
ejpam-3395	153	3	results	result	NOUN
ejpam-3395	153	4	3.1	3.1	NUM
ejpam-3395	153	5	.	.	PUNCT
ejpam-3395	154	1	the	the	DET
ejpam-3395	154	2	mfh	mfh	PROPN
ejpam-3395	154	3	model	model	NOUN
ejpam-3395	154	4	framework	framework	NOUN
ejpam-3395	154	5	mixed	mix	VERB
ejpam-3395	154	6	fractional	fractional	ADJ
ejpam-3395	154	7	heston	heston	PROPN
ejpam-3395	154	8	model	model	NOUN
ejpam-3395	154	9	is	be	AUX
ejpam-3395	154	10	the	the	DET
ejpam-3395	154	11	heston	heston	PROPN
ejpam-3395	154	12	model	model	NOUN
ejpam-3395	154	13	in	in	ADP
ejpam-3395	154	14	which	which	PRON
ejpam-3395	154	15	the	the	DET
ejpam-3395	154	16	volatility	volatility	NOUN
ejpam-3395	154	17	brownian	brownian	NOUN
ejpam-3395	154	18	and	and	CCONJ
ejpam-3395	154	19	the	the	DET
ejpam-3395	154	20	price	price	NOUN
ejpam-3395	154	21	brownian	brownian	NOUN
ejpam-3395	154	22	are	be	AUX
ejpam-3395	154	23	replaced	replace	VERB
ejpam-3395	154	24	by	by	ADP
ejpam-3395	154	25	the	the	DET
ejpam-3395	154	26	mfbm	mfbm	NOUN
ejpam-3395	154	27	.	.	PUNCT
ejpam-3395	155	1	so	so	ADV
ejpam-3395	155	2	we	we	PRON
ejpam-3395	155	3	first	first	ADV
ejpam-3395	155	4	consider	consider	VERB
ejpam-3395	155	5	the	the	DET
ejpam-3395	155	6	heston	heston	PROPN
ejpam-3395	155	7	model	model	NOUN
ejpam-3395	155	8	which	which	PRON
ejpam-3395	155	9	will	will	AUX
ejpam-3395	155	10	be	be	AUX
ejpam-3395	155	11	described	describe	VERB
ejpam-3395	155	12	in	in	ADP
ejpam-3395	155	13	definition	definition	NOUN
ejpam-3395	155	14	3	3	NUM
ejpam-3395	155	15	.	.	PUNCT
ejpam-3395	155	16	definition	definition	NOUN
ejpam-3395	155	17	3	3	NUM
ejpam-3395	155	18	.	.	PUNCT
ejpam-3395	156	1	(	(	PUNCT
ejpam-3395	156	2	heston	heston	PROPN
ejpam-3395	156	3	model	model	PROPN
ejpam-3395	156	4	,	,	PUNCT
ejpam-3395	156	5	[	[	X
ejpam-3395	156	6	15	15	NUM
ejpam-3395	156	7	]	]	PUNCT
ejpam-3395	156	8	)	)	PUNCT
ejpam-3395	156	9	the	the	DET
ejpam-3395	156	10	model	model	NOUN
ejpam-3395	156	11	given	give	VERB
ejpam-3395	156	12	by	by	ADP
ejpam-3395	156	13	[	[	X
ejpam-3395	156	14	15	15	NUM
ejpam-3395	156	15	]	]	PUNCT
ejpam-3395	156	16	as	as	ADP
ejpam-3395	156	17	one	one	NUM
ejpam-3395	156	18	of	of	ADP
ejpam-3395	156	19	the	the	DET
ejpam-3395	156	20	most	most	ADV
ejpam-3395	156	21	the	the	DET
ejpam-3395	156	22	important	important	ADJ
ejpam-3395	156	23	stochastic	stochastic	ADJ
ejpam-3395	156	24	volatility	volatility	NOUN
ejpam-3395	156	25	models	model	NOUN
ejpam-3395	156	26	.	.	PUNCT
ejpam-3395	157	1	in	in	ADP
ejpam-3395	157	2	this	this	DET
ejpam-3395	157	3	model	model	NOUN
ejpam-3395	157	4	the	the	DET
ejpam-3395	157	5	volatility	volatility	NOUN
ejpam-3395	157	6	is	be	AUX
ejpam-3395	157	7	a	a	DET
ejpam-3395	157	8	stochastic	stochastic	ADJ
ejpam-3395	157	9	process	process	NOUN
ejpam-3395	157	10	and	and	CCONJ
ejpam-3395	157	11	it	it	PRON
ejpam-3395	157	12	is	be	AUX
ejpam-3395	157	13	determined	determine	VERB
ejpam-3395	157	14	by	by	ADP
ejpam-3395	157	15	the	the	DET
ejpam-3395	157	16	stochastic	stochastic	ADJ
ejpam-3395	157	17	differential	differential	ADJ
ejpam-3395	157	18	equation	equation	NOUN
ejpam-3395	157	19	(	(	PUNCT
ejpam-3395	157	20	sde	sde	PROPN
ejpam-3395	157	21	)	)	PUNCT
ejpam-3395	157	22	as	as	SCONJ
ejpam-3395	157	23	follows	follow	VERB
ejpam-3395	157	24	,	,	PUNCT
ejpam-3395	157	25	see	see	VERB
ejpam-3395	157	26	[	[	X
ejpam-3395	157	27	21	21	NUM
ejpam-3395	157	28	]	]	X
ejpam-3395	157	29	dst	dst	PROPN
ejpam-3395	157	30	=	=	SYM
ejpam-3395	157	31	stµdt+	stµdt+	NOUN
ejpam-3395	157	32	√	√	NUM
ejpam-3395	157	33	vtstdb1,t	vtstdb1,t	PROPN
ejpam-3395	157	34	(	(	PUNCT
ejpam-3395	157	35	21	21	NUM
ejpam-3395	157	36	)	)	PUNCT
ejpam-3395	157	37	dvt	dvt	PROPN
ejpam-3395	157	38	=	=	PROPN
ejpam-3395	157	39	κ(θ	κ(θ	PROPN
ejpam-3395	157	40	−	−	PROPN
ejpam-3395	157	41	vt)dt+	vt)dt+	NOUN
ejpam-3395	157	42	σ	σ	NOUN
ejpam-3395	157	43	√	√	ADJ
ejpam-3395	157	44	vtdb2,t	vtdb2,t	NOUN
ejpam-3395	157	45	(	(	PUNCT
ejpam-3395	157	46	22	22	NUM
ejpam-3395	157	47	)	)	PUNCT
ejpam-3395	157	48	db1,t	db1,t	NOUN
ejpam-3395	157	49	×	×	NOUN
ejpam-3395	157	50	db2,t	db2,t	PROPN
ejpam-3395	157	51	=	=	PROPN
ejpam-3395	157	52	ρdt	ρdt	NOUN
ejpam-3395	157	53	,	,	PUNCT
ejpam-3395	157	54	(	(	PUNCT
ejpam-3395	157	55	23	23	NUM
ejpam-3395	157	56	)	)	PUNCT
ejpam-3395	157	57	where	where	SCONJ
ejpam-3395	157	58	b1,t	b1,t	PROPN
ejpam-3395	157	59	and	and	CCONJ
ejpam-3395	157	60	b2,t	b2,t	PROPN
ejpam-3395	157	61	are	be	AUX
ejpam-3395	157	62	two	two	NUM
ejpam-3395	157	63	brownian	brownian	ADJ
ejpam-3395	157	64	motion	motion	NOUN
ejpam-3395	157	65	process	process	NOUN
ejpam-3395	157	66	with	with	ADP
ejpam-3395	157	67	correlation	correlation	NOUN
ejpam-3395	157	68	ρ	ρ	X
ejpam-3395	157	69	∈	∈	PROPN
ejpam-3395	157	70	(	(	PUNCT
ejpam-3395	157	71	−1	−1	NOUN
ejpam-3395	157	72	,	,	PUNCT
ejpam-3395	157	73	1	1	NUM
ejpam-3395	157	74	)	)	PUNCT
ejpam-3395	157	75	and	and	CCONJ
ejpam-3395	157	76	s	s	AUX
ejpam-3395	157	77	represent	represent	VERB
ejpam-3395	157	78	the	the	DET
ejpam-3395	157	79	current	current	ADJ
ejpam-3395	157	80	stock	stock	NOUN
ejpam-3395	157	81	price	price	NOUN
ejpam-3395	157	82	,	,	PUNCT
ejpam-3395	157	83	v	v	NOUN
ejpam-3395	157	84	is	be	AUX
ejpam-3395	157	85	the	the	DET
ejpam-3395	157	86	volatility	volatility	NOUN
ejpam-3395	157	87	,	,	PUNCT
ejpam-3395	157	88	κ	κ	PROPN
ejpam-3395	157	89	is	be	AUX
ejpam-3395	157	90	the	the	DET
ejpam-3395	157	91	rate	rate	NOUN
ejpam-3395	157	92	which	which	PRON
ejpam-3395	157	93	v	v	NOUN
ejpam-3395	157	94	reverts	revert	VERB
ejpam-3395	157	95	to	to	ADP
ejpam-3395	157	96	θ	θ	PROPN
ejpam-3395	157	97	,	,	PUNCT
ejpam-3395	157	98	θ	θ	PROPN
ejpam-3395	157	99	is	be	AUX
ejpam-3395	157	100	the	the	DET
ejpam-3395	157	101	long	long	ADJ
ejpam-3395	157	102	variance	variance	NOUN
ejpam-3395	157	103	and	and	CCONJ
ejpam-3395	157	104	σ	σ	PROPN
ejpam-3395	157	105	is	be	AUX
ejpam-3395	157	106	the	the	DET
ejpam-3395	157	107	volatility	volatility	NOUN
ejpam-3395	157	108	of	of	ADP
ejpam-3395	157	109	the	the	DET
ejpam-3395	157	110	volatility	volatility	NOUN
ejpam-3395	157	111	.	.	PUNCT
ejpam-3395	158	1	d.	d.	PROPN
ejpam-3395	158	2	a.	a.	PROPN
ejpam-3395	158	3	n.	n.	PROPN
ejpam-3395	158	4	njamen	njamen	PROPN
ejpam-3395	158	5	,	,	PUNCT
ejpam-3395	158	6	e.	e.	PROPN
ejpam-3395	158	7	djeutcha	djeutcha	PROPN
ejpam-3395	158	8	/	/	SYM
ejpam-3395	158	9	eur	eur	PROPN
ejpam-3395	158	10	.	.	PUNCT
ejpam-3395	159	1	j.	j.	PROPN
ejpam-3395	159	2	pure	pure	PROPN
ejpam-3395	159	3	appl	appl	PROPN
ejpam-3395	159	4	.	.	PROPN
ejpam-3395	159	5	math	math	PROPN
ejpam-3395	159	6	,	,	PUNCT
ejpam-3395	159	7	12	12	NUM
ejpam-3395	159	8	(	(	PUNCT
ejpam-3395	159	9	2	2	NUM
ejpam-3395	159	10	)	)	PUNCT
ejpam-3395	159	11	(	(	PUNCT
ejpam-3395	159	12	2019	2019	NUM
ejpam-3395	159	13	)	)	PUNCT
ejpam-3395	159	14	,	,	PUNCT
ejpam-3395	159	15	448	448	NUM
ejpam-3395	159	16	-	-	SYM
ejpam-3395	159	17	468	468	NUM
ejpam-3395	159	18	454	454	NUM
ejpam-3395	159	19	definition	definition	NOUN
ejpam-3395	159	20	4	4	NUM
ejpam-3395	159	21	.	.	PUNCT
ejpam-3395	160	1	(	(	PUNCT
ejpam-3395	160	2	mfh	mfh	PROPN
ejpam-3395	160	3	model	model	NOUN
ejpam-3395	160	4	)	)	PUNCT
ejpam-3395	160	5	let	let	VERB
ejpam-3395	160	6	us	we	PRON
ejpam-3395	160	7	consider	consider	VERB
ejpam-3395	160	8	a	a	DET
ejpam-3395	160	9	probability	probability	NOUN
ejpam-3395	160	10	space	space	NOUN
ejpam-3395	160	11	(	(	PUNCT
ejpam-3395	160	12	ω	ω	NOUN
ejpam-3395	160	13	,	,	PUNCT
ejpam-3395	160	14	f	f	PROPN
ejpam-3395	160	15	,	,	PUNCT
ejpam-3395	160	16	p	p	NOUN
ejpam-3395	160	17	)	)	PUNCT
ejpam-3395	160	18	on	on	ADP
ejpam-3395	160	19	some	some	DET
ejpam-3395	160	20	brownian	brownian	ADJ
ejpam-3395	160	21	motion	motion	NOUN
ejpam-3395	160	22	bi	bi	NOUN
ejpam-3395	160	23	=	=	PROPN
ejpam-3395	160	24	bi	bi	PROPN
ejpam-3395	160	25	,	,	PUNCT
ejpam-3395	160	26	t	t	PROPN
ejpam-3395	160	27	,	,	PUNCT
ejpam-3395	160	28	fractional	fractional	ADJ
ejpam-3395	160	29	brownian	brownian	ADJ
ejpam-3395	160	30	motion	motion	NOUN
ejpam-3395	160	31	bhi	bhi	NOUN
ejpam-3395	160	32	=	=	SYM
ejpam-3395	160	33	bhi	bhi	PROPN
ejpam-3395	160	34	,	,	PUNCT
ejpam-3395	160	35	t	t	PROPN
ejpam-3395	160	36	,	,	PUNCT
ejpam-3395	160	37	for	for	ADP
ejpam-3395	160	38	i	i	PROPN
ejpam-3395	160	39	=	=	SYM
ejpam-3395	160	40	1	1	NUM
ejpam-3395	160	41	,	,	PUNCT
ejpam-3395	160	42	2	2	NUM
ejpam-3395	160	43	.	.	X
ejpam-3395	161	1	let	let	VERB
ejpam-3395	161	2	(	(	PUNCT
ejpam-3395	161	3	ft)t≥0	ft)t≥0	VERB
ejpam-3395	161	4	be	be	AUX
ejpam-3395	161	5	a	a	DET
ejpam-3395	161	6	filtration	filtration	NOUN
ejpam-3395	161	7	generated	generate	VERB
ejpam-3395	161	8	by	by	ADP
ejpam-3395	161	9	these	these	DET
ejpam-3395	161	10	three	three	NUM
ejpam-3395	161	11	above	above	ADJ
ejpam-3395	161	12	process	process	NOUN
ejpam-3395	161	13	and	and	CCONJ
ejpam-3395	161	14	p	p	X
ejpam-3395	161	15	a	a	DET
ejpam-3395	161	16	risk	risk	NOUN
ejpam-3395	161	17	neutral	neutral	ADJ
ejpam-3395	161	18	probability	probability	NOUN
ejpam-3395	161	19	under	under	ADP
ejpam-3395	161	20	the	the	DET
ejpam-3395	161	21	asset	asset	NOUN
ejpam-3395	161	22	price	price	NOUN
ejpam-3395	161	23	process	process	NOUN
ejpam-3395	161	24	st	st	NOUN
ejpam-3395	161	25	at	at	ADP
ejpam-3395	161	26	time	time	NOUN
ejpam-3395	161	27	t	t	PROPN
ejpam-3395	161	28	≥	≥	NOUN
ejpam-3395	161	29	0	0	NUM
ejpam-3395	161	30	.	.	PUNCT
ejpam-3395	162	1	let	let	VERB
ejpam-3395	162	2	vt	vt	PROPN
ejpam-3395	162	3	be	be	AUX
ejpam-3395	162	4	stochastic	stochastic	ADJ
ejpam-3395	162	5	volatility	volatility	NOUN
ejpam-3395	162	6	process	process	NOUN
ejpam-3395	162	7	at	at	ADP
ejpam-3395	162	8	time	time	NOUN
ejpam-3395	162	9	t	t	PROPN
ejpam-3395	162	10	≥	≥	NOUN
ejpam-3395	162	11	0	0	NUM
ejpam-3395	162	12	.	.	PUNCT
ejpam-3395	163	1	in	in	ADP
ejpam-3395	163	2	the	the	DET
ejpam-3395	163	3	heston	heston	PROPN
ejpam-3395	163	4	model	model	NOUN
ejpam-3395	163	5	,	,	PUNCT
ejpam-3395	163	6	if	if	SCONJ
ejpam-3395	163	7	we	we	PRON
ejpam-3395	163	8	substitute	substitute	VERB
ejpam-3395	163	9	bi	bi	PROPN
ejpam-3395	163	10	,	,	PUNCT
ejpam-3395	163	11	t	t	PROPN
ejpam-3395	163	12	by	by	ADP
ejpam-3395	163	13	mh	mh	PROPN
ejpam-3395	163	14	i	i	PROPN
ejpam-3395	164	1	=	=	PROPN
ejpam-3395	164	2	mh	mh	PROPN
ejpam-3395	165	1	i	i	PROPN
ejpam-3395	165	2	,	,	PUNCT
ejpam-3395	165	3	t	t	PROPN
ejpam-3395	165	4	then	then	ADV
ejpam-3395	165	5	,	,	PUNCT
ejpam-3395	165	6	we	we	PRON
ejpam-3395	165	7	obtain	obtain	VERB
ejpam-3395	165	8	a	a	DET
ejpam-3395	165	9	mixed	mixed	ADJ
ejpam-3395	165	10	fractional	fractional	ADJ
ejpam-3395	165	11	heston	heston	PROPN
ejpam-3395	165	12	model	model	NOUN
ejpam-3395	165	13	and	and	CCONJ
ejpam-3395	165	14	its	its	PRON
ejpam-3395	165	15	sde	sde	NOUN
ejpam-3395	165	16	’s	’s	PART
ejpam-3395	165	17	is	be	AUX
ejpam-3395	165	18	given	give	VERB
ejpam-3395	165	19	by	by	ADP
ejpam-3395	165	20	{	{	PUNCT
ejpam-3395	165	21	dst	dst	PROPN
ejpam-3395	165	22	=	=	PUNCT
ejpam-3395	165	23	stµdt+	stµdt+	NOUN
ejpam-3395	165	24	√	√	VERB
ejpam-3395	166	1	vtstdm	vtstdm	NOUN
ejpam-3395	166	2	h	h	NOUN
ejpam-3395	167	1	1,t	1,t	NOUN
ejpam-3395	167	2	dvt	dvt	PROPN
ejpam-3395	167	3	=	=	SYM
ejpam-3395	167	4	κ(θ	κ(θ	PROPN
ejpam-3395	167	5	−	−	PROPN
ejpam-3395	167	6	vt)dt+	vt)dt+	NOUN
ejpam-3395	167	7	σ	σ	PROPN
ejpam-3395	167	8	√	√	PROPN
ejpam-3395	167	9	vtdm	vtdm	VERB
ejpam-3395	167	10	h	h	NOUN
ejpam-3395	167	11	2,t	2,t	NOUN
ejpam-3395	167	12	(	(	PUNCT
ejpam-3395	167	13	24	24	NUM
ejpam-3395	167	14	)	)	PUNCT
ejpam-3395	167	15	with	with	ADP
ejpam-3395	167	16	dmh	dmh	PROPN
ejpam-3395	167	17	1,t	1,t	NOUN
ejpam-3395	167	18	×	×	NOUN
ejpam-3395	167	19	dmh	dmh	X
ejpam-3395	167	20	2,t	2,t	X
ejpam-3395	167	21	=	=	PUNCT
ejpam-3395	167	22	ρ(a2dt+	ρ(a2dt+	PROPN
ejpam-3395	167	23	b2dt2h	b2dt2h	NUM
ejpam-3395	167	24	)	)	PUNCT
ejpam-3395	167	25	,	,	PUNCT
ejpam-3395	167	26	ρ	ρ	PROPN
ejpam-3395	167	27	∈	∈	PROPN
ejpam-3395	167	28	(	(	PUNCT
ejpam-3395	167	29	0	0	NUM
ejpam-3395	167	30	,	,	PUNCT
ejpam-3395	167	31	1	1	NUM
ejpam-3395	167	32	)	)	PUNCT
ejpam-3395	167	33	.	.	PUNCT
ejpam-3395	168	1	i.e.	i.e.	X
ejpam-3395	168	2	dst	dst	X
ejpam-3395	168	3	=	=	SYM
ejpam-3395	168	4	stµdt+	stµdt+	NOUN
ejpam-3395	168	5	a	a	DET
ejpam-3395	168	6	√	√	NOUN
ejpam-3395	168	7	vtstdbt,1	vtstdbt,1	NOUN
ejpam-3395	168	8	+	+	CCONJ
ejpam-3395	168	9	b	b	NOUN
ejpam-3395	168	10	√	√	NOUN
ejpam-3395	168	11	vtstdb	vtstdb	NOUN
ejpam-3395	168	12	h	h	NOUN
ejpam-3395	168	13	1,t	1,t	NOUN
ejpam-3395	168	14	(	(	PUNCT
ejpam-3395	168	15	25	25	NUM
ejpam-3395	168	16	)	)	PUNCT
ejpam-3395	168	17	and	and	CCONJ
ejpam-3395	168	18	dvt	dvt	PROPN
ejpam-3395	168	19	=	=	PROPN
ejpam-3395	168	20	κ(θ	κ(θ	PROPN
ejpam-3395	168	21	−	−	PROPN
ejpam-3395	168	22	vt)dt+	vt)dt+	NOUN
ejpam-3395	168	23	aσ	aσ	ADP
ejpam-3395	168	24	√	√	PROPN
ejpam-3395	168	25	vtstdbt,2	vtstdbt,2	NOUN
ejpam-3395	168	26	+	+	CCONJ
ejpam-3395	168	27	bσ	bσ	NOUN
ejpam-3395	168	28	√	√	PROPN
ejpam-3395	168	29	vtstdb	vtstdb	PROPN
ejpam-3395	168	30	h	h	NOUN
ejpam-3395	168	31	2,t	2,t	NOUN
ejpam-3395	168	32	,	,	PUNCT
ejpam-3395	168	33	(	(	PUNCT
ejpam-3395	168	34	26	26	NUM
ejpam-3395	168	35	)	)	PUNCT
ejpam-3395	168	36	where	where	SCONJ
ejpam-3395	168	37	κ	κ	NOUN
ejpam-3395	168	38	control	control	VERB
ejpam-3395	168	39	the	the	DET
ejpam-3395	168	40	speed	speed	NOUN
ejpam-3395	168	41	of	of	ADP
ejpam-3395	168	42	mean	mean	ADJ
ejpam-3395	168	43	reversion	reversion	NOUN
ejpam-3395	168	44	of	of	ADP
ejpam-3395	168	45	the	the	DET
ejpam-3395	168	46	volatility	volatility	NOUN
ejpam-3395	168	47	and	and	CCONJ
ejpam-3395	168	48	θ	θ	PROPN
ejpam-3395	168	49	is	be	AUX
ejpam-3395	168	50	the	the	DET
ejpam-3395	168	51	long	long	ADV
ejpam-3395	168	52	-	-	PUNCT
ejpam-3395	168	53	run	run	VERB
ejpam-3395	168	54	mean	mean	NOUN
ejpam-3395	168	55	of	of	ADP
ejpam-3395	168	56	the	the	DET
ejpam-3395	168	57	volatility	volatility	NOUN
ejpam-3395	168	58	,	,	PUNCT
ejpam-3395	168	59	σ	σ	PROPN
ejpam-3395	168	60	is	be	AUX
ejpam-3395	168	61	the	the	DET
ejpam-3395	168	62	volatility	volatility	NOUN
ejpam-3395	168	63	of	of	ADP
ejpam-3395	168	64	vt	vt	NOUN
ejpam-3395	168	65	process	process	NOUN
ejpam-3395	168	66	.	.	PUNCT
ejpam-3395	169	1	s0	s0	PROPN
ejpam-3395	169	2	and	and	CCONJ
ejpam-3395	169	3	v0	v0	NOUN
ejpam-3395	169	4	are	be	AUX
ejpam-3395	169	5	spot	spot	NOUN
ejpam-3395	169	6	asset	asset	NOUN
ejpam-3395	169	7	price	price	NOUN
ejpam-3395	169	8	and	and	CCONJ
ejpam-3395	169	9	spot	spot	NOUN
ejpam-3395	169	10	variance	variance	NOUN
ejpam-3395	169	11	respectively	respectively	ADV
ejpam-3395	169	12	.	.	PUNCT
ejpam-3395	170	1	vt	vt	PROPN
ejpam-3395	170	2	is	be	AUX
ejpam-3395	170	3	strictly	strictly	ADV
ejpam-3395	170	4	positive	positive	ADJ
ejpam-3395	170	5	when	when	SCONJ
ejpam-3395	170	6	2κθ	2κθ	NOUN
ejpam-3395	170	7	≥	≥	NOUN
ejpam-3395	170	8	σ2	σ2	PROPN
ejpam-3395	170	9	and	and	CCONJ
ejpam-3395	170	10	non	non	ADJ
ejpam-3395	170	11	-	-	ADJ
ejpam-3395	170	12	negative	negative	ADJ
ejpam-3395	170	13	when	when	SCONJ
ejpam-3395	170	14	0	0	NUM
ejpam-3395	170	15	≤	≤	NUM
ejpam-3395	170	16	2κθ	2κθ	NOUN
ejpam-3395	170	17	<	<	X
ejpam-3395	170	18	σ2(feller	σ2(feller	ADJ
ejpam-3395	170	19	condition	condition	NOUN
ejpam-3395	170	20	)	)	PUNCT
ejpam-3395	170	21	.	.	PUNCT
ejpam-3395	171	1	ρ	ρ	PROPN
ejpam-3395	171	2	is	be	AUX
ejpam-3395	171	3	the	the	DET
ejpam-3395	171	4	coefficient	coefficient	NOUN
ejpam-3395	171	5	of	of	ADP
ejpam-3395	171	6	correlation	correlation	NOUN
ejpam-3395	171	7	between	between	ADP
ejpam-3395	171	8	bi	bi	NOUN
ejpam-3395	171	9	,	,	PUNCT
ejpam-3395	171	10	fractional	fractional	ADJ
ejpam-3395	171	11	brownian	brownian	ADJ
ejpam-3395	171	12	motion	motion	NOUN
ejpam-3395	171	13	bhi	bhi	NOUN
ejpam-3395	171	14	.	.	PUNCT
ejpam-3395	172	1	3.2	3.2	NUM
ejpam-3395	172	2	.	.	PUNCT
ejpam-3395	172	3	simulation	simulation	NOUN
ejpam-3395	172	4	of	of	ADP
ejpam-3395	172	5	mfh	mfh	PROPN
ejpam-3395	172	6	model	model	PROPN
ejpam-3395	172	7	euler	euler	PROPN
ejpam-3395	172	8	’s	’s	PART
ejpam-3395	172	9	scheme	scheme	NOUN
ejpam-3395	172	10	is	be	AUX
ejpam-3395	172	11	the	the	DET
ejpam-3395	172	12	simplest	simple	ADJ
ejpam-3395	172	13	way	way	NOUN
ejpam-3395	172	14	to	to	PART
ejpam-3395	172	15	discritize	discritize	VERB
ejpam-3395	172	16	the	the	DET
ejpam-3395	172	17	stochastic	stochastic	ADJ
ejpam-3395	172	18	differential	differential	ADJ
ejpam-3395	172	19	equations	equation	NOUN
ejpam-3395	172	20	[	[	X
ejpam-3395	172	21	16	16	NUM
ejpam-3395	172	22	]	]	PUNCT
ejpam-3395	172	23	.	.	PUNCT
ejpam-3395	173	1	we	we	PRON
ejpam-3395	173	2	perform	perform	VERB
ejpam-3395	173	3	euler	euler	NOUN
ejpam-3395	173	4	discretisation	discretisation	NOUN
ejpam-3395	173	5	on	on	ADP
ejpam-3395	173	6	the	the	DET
ejpam-3395	173	7	mfh	mfh	PROPN
ejpam-3395	173	8	model	model	NOUN
ejpam-3395	173	9	.	.	PUNCT
ejpam-3395	174	1	the	the	DET
ejpam-3395	174	2	euler	euler	PROPN
ejpam-3395	174	3	discretization	discretization	NOUN
ejpam-3395	174	4	can	can	AUX
ejpam-3395	174	5	be	be	AUX
ejpam-3395	174	6	used	use	VERB
ejpam-3395	174	7	to	to	PART
ejpam-3395	174	8	approximate	approximate	VERB
ejpam-3395	174	9	the	the	DET
ejpam-3395	174	10	asset	asset	NOUN
ejpam-3395	174	11	path	path	NOUN
ejpam-3395	174	12	of	of	ADP
ejpam-3395	174	13	the	the	DET
ejpam-3395	174	14	stock	stock	NOUN
ejpam-3395	174	15	price	price	NOUN
ejpam-3395	174	16	on	on	ADP
ejpam-3395	174	17	a	a	DET
ejpam-3395	174	18	discrete	discrete	ADJ
ejpam-3395	174	19	time	time	NOUN
ejpam-3395	174	20	grid	grid	NOUN
ejpam-3395	175	1	[	[	X
ejpam-3395	175	2	16	16	NUM
ejpam-3395	175	3	]	]	PUNCT
ejpam-3395	175	4	.	.	PUNCT
ejpam-3395	176	1	let	let	VERB
ejpam-3395	176	2	st	st	PROPN
ejpam-3395	176	3	be	be	AUX
ejpam-3395	176	4	an	an	DET
ejpam-3395	176	5	asset	asset	NOUN
ejpam-3395	176	6	price	price	NOUN
ejpam-3395	176	7	which	which	PRON
ejpam-3395	176	8	implies	imply	VERB
ejpam-3395	176	9	in	in	ADP
ejpam-3395	176	10	(	(	PUNCT
ejpam-3395	176	11	25	25	NUM
ejpam-3395	176	12	)	)	PUNCT
ejpam-3395	176	13	and	and	CCONJ
ejpam-3395	176	14	vt	vt	PROPN
ejpam-3395	176	15	satisfying	satisfying	NOUN
ejpam-3395	176	16	(	(	PUNCT
ejpam-3395	176	17	26	26	NUM
ejpam-3395	176	18	)	)	PUNCT
ejpam-3395	176	19	.	.	PUNCT
ejpam-3395	177	1	let	let	VERB
ejpam-3395	177	2	λ	λ	INTJ
ejpam-3395	177	3	=	=	SYM
ejpam-3395	177	4	{	{	PUNCT
ejpam-3395	177	5	t0	t0	PROPN
ejpam-3395	177	6	,	,	PUNCT
ejpam-3395	177	7	t1	t1	PROPN
ejpam-3395	177	8	,	,	PUNCT
ejpam-3395	177	9	.	.	PUNCT
ejpam-3395	177	10	.	.	PUNCT
ejpam-3395	178	1	.	.	PUNCT
ejpam-3395	179	1	,	,	PUNCT
ejpam-3395	179	2	tn	tn	PROPN
ejpam-3395	179	3	}	}	PUNCT
ejpam-3395	179	4	be	be	VERB
ejpam-3395	179	5	a	a	DET
ejpam-3395	179	6	partition	partition	NOUN
ejpam-3395	179	7	of	of	ADP
ejpam-3395	179	8	the	the	DET
ejpam-3395	179	9	interval	interval	NOUN
ejpam-3395	179	10	[	[	X
ejpam-3395	179	11	0	0	NUM
ejpam-3395	179	12	,	,	PUNCT
ejpam-3395	179	13	t	t	X
ejpam-3395	179	14	]	]	PUNCT
ejpam-3395	179	15	.	.	PUNCT
ejpam-3395	180	1	i.e	i.e	PRON
ejpam-3395	180	2	0	0	NUM
ejpam-3395	180	3	<	<	X
ejpam-3395	180	4	t0	t0	X
ejpam-3395	180	5	<	<	X
ejpam-3395	180	6	t1	t1	NOUN
ejpam-3395	180	7	<	<	X
ejpam-3395	180	8	.	.	PUNCT
ejpam-3395	180	9	.	.	PUNCT
ejpam-3395	180	10	.	.	PUNCT
ejpam-3395	181	1	<	<	X
ejpam-3395	181	2	tn	tn	PROPN
ejpam-3395	182	1	=	=	SYM
ejpam-3395	182	2	t	t	PROPN
ejpam-3395	182	3	then	then	ADV
ejpam-3395	182	4	,	,	PUNCT
ejpam-3395	182	5	we	we	PRON
ejpam-3395	182	6	have	have	VERB
ejpam-3395	182	7	for	for	ADP
ejpam-3395	182	8	all	all	DET
ejpam-3395	182	9	0	0	NUM
ejpam-3395	182	10	≤	≤	NUM
ejpam-3395	182	11	j	j	PROPN
ejpam-3395	182	12	≤	≤	PROPN
ejpam-3395	182	13	n	n	CCONJ
ejpam-3395	182	14	−	−	PROPN
ejpam-3395	182	15	1	1	NUM
ejpam-3395	183	1	and	and	CCONJ
ejpam-3395	183	2	i	i	PRON
ejpam-3395	183	3	=	=	NOUN
ejpam-3395	183	4	1	1	NUM
ejpam-3395	183	5	,	,	PUNCT
ejpam-3395	183	6	2	2	NUM
ejpam-3395	183	7	,	,	PUNCT
ejpam-3395	183	8	sj+1	sj+1	PRON
ejpam-3395	183	9	=	=	PUNCT
ejpam-3395	183	10	sj	sj	NOUN
ejpam-3395	183	11	+	+	CCONJ
ejpam-3395	183	12	µsj∆t+	µsj∆t+	ADJ
ejpam-3395	183	13	√	√	ADP
ejpam-3395	183	14	vjsj∆m	vjsj∆m	ADJ
ejpam-3395	183	15	h	h	NOUN
ejpam-3395	183	16	ij	ij	X
ejpam-3395	183	17	(	(	PUNCT
ejpam-3395	183	18	27	27	NUM
ejpam-3395	183	19	)	)	PUNCT
ejpam-3395	183	20	vj+1	vj+1	NOUN
ejpam-3395	183	21	=	=	PUNCT
ejpam-3395	183	22	vj	vj	NOUN
ejpam-3395	183	23	+	+	CCONJ
ejpam-3395	183	24	κ(θ	κ(θ	PROPN
ejpam-3395	183	25	−	−	PROPN
ejpam-3395	183	26	vj)∆t+	vj)∆t+	PROPN
ejpam-3395	183	27	σ	σ	NOUN
ejpam-3395	183	28	√	√	PROPN
ejpam-3395	183	29	vj∆m	vj∆m	NUM
ejpam-3395	183	30	h	h	NOUN
ejpam-3395	183	31	ij	ij	INTJ
ejpam-3395	183	32	.	.	PUNCT
ejpam-3395	184	1	(	(	PUNCT
ejpam-3395	184	2	28	28	NUM
ejpam-3395	184	3	)	)	PUNCT
ejpam-3395	184	4	we	we	PRON
ejpam-3395	184	5	have	have	VERB
ejpam-3395	184	6	the	the	DET
ejpam-3395	184	7	following	follow	VERB
ejpam-3395	184	8	formula	formula	NOUN
ejpam-3395	184	9	,	,	PUNCT
ejpam-3395	184	10	for	for	ADP
ejpam-3395	184	11	all	all	PRON
ejpam-3395	184	12	0	0	NUM
ejpam-3395	184	13	≤	≤	NUM
ejpam-3395	184	14	j	j	PROPN
ejpam-3395	184	15	≤	≤	PROPN
ejpam-3395	184	16	n	n	CCONJ
ejpam-3395	184	17	−	−	PROPN
ejpam-3395	184	18	1	1	NUM
ejpam-3395	184	19	,	,	PUNCT
ejpam-3395	184	20	tj	tj	X
ejpam-3395	184	21	=	=	SYM
ejpam-3395	184	22	j∆t	j∆t	NOUN
ejpam-3395	185	1	and	and	CCONJ
ejpam-3395	185	2	i	i	PRON
ejpam-3395	185	3	=	=	NOUN
ejpam-3395	185	4	1	1	NUM
ejpam-3395	185	5	,	,	PUNCT
ejpam-3395	185	6	2	2	NUM
ejpam-3395	185	7	,	,	PUNCT
ejpam-3395	185	8	3	3	NUM
ejpam-3395	185	9	.	.	PUNCT
ejpam-3395	186	1	∆mh	∆mh	NUM
ejpam-3395	186	2	ij	ij	NOUN
ejpam-3395	186	3	=	=	SYM
ejpam-3395	186	4	mh	mh	PROPN
ejpam-3395	187	1	i	i	PRON
ejpam-3395	187	2	(	(	PUNCT
ejpam-3395	187	3	tj+1)−mh	tj+1)−mh	NOUN
ejpam-3395	187	4	i	i	PRON
ejpam-3395	187	5	(	(	PUNCT
ejpam-3395	187	6	tj	tj	NOUN
ejpam-3395	187	7	)	)	PUNCT
ejpam-3395	187	8	;	;	PUNCT
ejpam-3395	187	9	(	(	PUNCT
ejpam-3395	187	10	29	29	NUM
ejpam-3395	187	11	)	)	PUNCT
ejpam-3395	187	12	and	and	CCONJ
ejpam-3395	187	13	∆mh	∆mh	NUM
ejpam-3395	187	14	ij	ij	NUM
ejpam-3395	187	15	∼	∼	NOUN
ejpam-3395	187	16	n	n	CCONJ
ejpam-3395	187	17	(	(	PUNCT
ejpam-3395	187	18	0	0	NUM
ejpam-3395	187	19	,	,	PUNCT
ejpam-3395	187	20	a2∆t+	a2∆t+	ADJ
ejpam-3395	187	21	b2∆t2h	b2∆t2h	NOUN
ejpam-3395	187	22	)	)	PUNCT
ejpam-3395	187	23	.	.	PUNCT
ejpam-3395	188	1	(	(	PUNCT
ejpam-3395	188	2	30	30	NUM
ejpam-3395	188	3	)	)	PUNCT
ejpam-3395	188	4	according	accord	VERB
ejpam-3395	188	5	to	to	ADP
ejpam-3395	188	6	the	the	DET
ejpam-3395	188	7	central	central	ADJ
ejpam-3395	188	8	limit	limit	NOUN
ejpam-3395	188	9	theorem	theorem	VERB
ejpam-3395	188	10	,	,	PUNCT
ejpam-3395	188	11	we	we	PRON
ejpam-3395	188	12	have	have	VERB
ejpam-3395	188	13	∆mh	∆mh	NUM
ejpam-3395	188	14	ij	ij	NOUN
ejpam-3395	188	15	=	=	SYM
ejpam-3395	188	16	n	n	PROPN
ejpam-3395	188	17	(	(	PUNCT
ejpam-3395	188	18	0	0	NUM
ejpam-3395	188	19	,	,	PUNCT
ejpam-3395	188	20	azi	azi	PROPN
ejpam-3395	188	21	√	√	PROPN
ejpam-3395	188	22	∆t+	∆t+	PROPN
ejpam-3395	188	23	bzi	bzi	ADV
ejpam-3395	188	24	√	√	PUNCT
ejpam-3395	188	25	∆t2h	∆t2h	NOUN
ejpam-3395	188	26	)	)	PUNCT
ejpam-3395	188	27	(	(	PUNCT
ejpam-3395	188	28	31	31	NUM
ejpam-3395	188	29	)	)	PUNCT
ejpam-3395	188	30	and	and	CCONJ
ejpam-3395	188	31	zi	zi	NOUN
ejpam-3395	188	32	∼	∼	NOUN
ejpam-3395	188	33	n	n	CCONJ
ejpam-3395	188	34	(	(	PUNCT
ejpam-3395	188	35	0	0	NUM
ejpam-3395	188	36	,	,	PUNCT
ejpam-3395	188	37	1	1	NUM
ejpam-3395	188	38	)	)	PUNCT
ejpam-3395	188	39	.	.	PUNCT
ejpam-3395	189	1	therefore	therefore	ADV
ejpam-3395	189	2	,	,	PUNCT
ejpam-3395	189	3	we	we	PRON
ejpam-3395	189	4	have	have	VERB
ejpam-3395	189	5	sj+1	sj+1	NOUN
ejpam-3395	189	6	=	=	PUNCT
ejpam-3395	189	7	sj	sj	NOUN
ejpam-3395	189	8	+	+	CCONJ
ejpam-3395	189	9	µsj∆t+	µsj∆t+	DET
ejpam-3395	189	10	a	a	DET
ejpam-3395	189	11	√	√	ADV
ejpam-3395	189	12	vj∆tsjz1	vj∆tsjz1	VERB
ejpam-3395	189	13	+	+	CCONJ
ejpam-3395	189	14	bsjz1	bsjz1	ADJ
ejpam-3395	190	1	√	√	ADP
ejpam-3395	190	2	vj∆t2h	vj∆t2h	PROPN
ejpam-3395	190	3	,	,	PUNCT
ejpam-3395	190	4	(	(	PUNCT
ejpam-3395	190	5	32	32	NUM
ejpam-3395	190	6	)	)	PUNCT
ejpam-3395	190	7	d.	d.	PROPN
ejpam-3395	190	8	a.	a.	PROPN
ejpam-3395	190	9	n.	n.	PROPN
ejpam-3395	190	10	njamen	njamen	PROPN
ejpam-3395	190	11	,	,	PUNCT
ejpam-3395	190	12	e.	e.	PROPN
ejpam-3395	190	13	djeutcha	djeutcha	PROPN
ejpam-3395	190	14	/	/	SYM
ejpam-3395	190	15	eur	eur	PROPN
ejpam-3395	190	16	.	.	PUNCT
ejpam-3395	191	1	j.	j.	PROPN
ejpam-3395	191	2	pure	pure	PROPN
ejpam-3395	191	3	appl	appl	PROPN
ejpam-3395	191	4	.	.	PROPN
ejpam-3395	191	5	math	math	PROPN
ejpam-3395	191	6	,	,	PUNCT
ejpam-3395	191	7	12	12	NUM
ejpam-3395	191	8	(	(	PUNCT
ejpam-3395	191	9	2	2	NUM
ejpam-3395	191	10	)	)	PUNCT
ejpam-3395	191	11	(	(	PUNCT
ejpam-3395	191	12	2019	2019	NUM
ejpam-3395	191	13	)	)	PUNCT
ejpam-3395	191	14	,	,	PUNCT
ejpam-3395	191	15	448	448	NUM
ejpam-3395	191	16	-	-	SYM
ejpam-3395	191	17	468	468	NUM
ejpam-3395	191	18	455	455	NUM
ejpam-3395	191	19	and	and	CCONJ
ejpam-3395	191	20	vj+1	vj+1	NUM
ejpam-3395	192	1	=	=	PUNCT
ejpam-3395	192	2	vj	vj	NOUN
ejpam-3395	192	3	+	+	CCONJ
ejpam-3395	192	4	κ(θ	κ(θ	PROPN
ejpam-3395	192	5	−	−	PROPN
ejpam-3395	192	6	vj)∆t+	vj)∆t+	PROPN
ejpam-3395	192	7	aσ	aσ	ADV
ejpam-3395	192	8	√	√	PROPN
ejpam-3395	192	9	vj∆tφ1	vj∆tφ1	NOUN
ejpam-3395	192	10	+	+	CCONJ
ejpam-3395	192	11	bσφ1	bσφ1	NOUN
ejpam-3395	193	1	√	√	NUM
ejpam-3395	193	2	vj∆t2h	vj∆t2h	PROPN
ejpam-3395	193	3	,	,	PUNCT
ejpam-3395	193	4	(	(	PUNCT
ejpam-3395	193	5	33	33	NUM
ejpam-3395	193	6	)	)	PUNCT
ejpam-3395	193	7	where	where	SCONJ
ejpam-3395	193	8	the	the	DET
ejpam-3395	193	9	correlated	correlate	VERB
ejpam-3395	193	10	normal	normal	ADJ
ejpam-3395	193	11	variables	variable	NOUN
ejpam-3395	193	12	,	,	PUNCT
ejpam-3395	193	13	φ1	φ1	PROPN
ejpam-3395	193	14	=	=	SYM
ejpam-3395	194	1	ρz1	ρz1	PROPN
ejpam-3395	194	2	+	+	NOUN
ejpam-3395	194	3	√	√	ADJ
ejpam-3395	194	4	1−	1−	NUM
ejpam-3395	195	1	ρ2z2	ρ2z2	X
ejpam-3395	195	2	generated	generate	VERB
ejpam-3395	195	3	by	by	ADP
ejpam-3395	195	4	the	the	DET
ejpam-3395	195	5	cholesky	cholesky	NOUN
ejpam-3395	195	6	’s	’s	PART
ejpam-3395	195	7	method	method	NOUN
ejpam-3395	195	8	.	.	PUNCT
ejpam-3395	196	1	the	the	DET
ejpam-3395	196	2	parameters	parameter	NOUN
ejpam-3395	196	3	of	of	ADP
ejpam-3395	196	4	the	the	DET
ejpam-3395	196	5	mfh	mfh	PROPN
ejpam-3395	196	6	model	model	NOUN
ejpam-3395	196	7	are	be	AUX
ejpam-3395	196	8	taken	take	VERB
ejpam-3395	196	9	from	from	ADP
ejpam-3395	196	10	[	[	X
ejpam-3395	196	11	24	24	NUM
ejpam-3395	196	12	]	]	PUNCT
ejpam-3395	196	13	and	and	CCONJ
ejpam-3395	196	14	are	be	AUX
ejpam-3395	196	15	presented	present	VERB
ejpam-3395	196	16	in	in	ADP
ejpam-3395	196	17	the	the	DET
ejpam-3395	196	18	following	follow	VERB
ejpam-3395	196	19	table	table	NOUN
ejpam-3395	196	20	1	1	NUM
ejpam-3395	196	21	.	.	PUNCT
ejpam-3395	197	1	the	the	DET
ejpam-3395	197	2	asset	asset	NOUN
ejpam-3395	197	3	price	price	NOUN
ejpam-3395	197	4	has	have	AUX
ejpam-3395	197	5	been	be	AUX
ejpam-3395	197	6	estimated	estimate	VERB
ejpam-3395	197	7	under	under	ADP
ejpam-3395	197	8	the	the	DET
ejpam-3395	197	9	mfh	mfh	PROPN
ejpam-3395	197	10	model	model	NOUN
ejpam-3395	197	11	,	,	PUNCT
ejpam-3395	197	12	where	where	SCONJ
ejpam-3395	197	13	the	the	DET
ejpam-3395	197	14	parameter	parameter	NOUN
ejpam-3395	197	15	of	of	ADP
ejpam-3395	197	16	the	the	DET
ejpam-3395	197	17	option	option	NOUN
ejpam-3395	197	18	model	model	NOUN
ejpam-3395	197	19	is	be	AUX
ejpam-3395	197	20	given	give	VERB
ejpam-3395	197	21	by	by	ADP
ejpam-3395	197	22	the	the	DET
ejpam-3395	197	23	table	table	NOUN
ejpam-3395	197	24	1	1	NUM
ejpam-3395	197	25	defined	define	VERB
ejpam-3395	197	26	by	by	ADP
ejpam-3395	197	27	:	:	PUNCT
ejpam-3395	197	28	t	t	PROPN
ejpam-3395	197	29	ρ	ρ	PROPN
ejpam-3395	197	30	s0	s0	PROPN
ejpam-3395	197	31	v0	v0	PROPN
ejpam-3395	197	32	µ	µ	PROPN
ejpam-3395	197	33	σ	σ	X
ejpam-3395	197	34	κ	κ	PROPN
ejpam-3395	197	35	θ	θ	PROPN
ejpam-3395	197	36	∆t	∆t	PROPN
ejpam-3395	197	37	e	e	X
ejpam-3395	197	38	2	2	NUM
ejpam-3395	197	39	0.26	0.26	NUM
ejpam-3395	197	40	0.04	0.04	NUM
ejpam-3395	197	41	0.04	0.04	NUM
ejpam-3395	197	42	0.07	0.07	NUM
ejpam-3395	197	43	0.04	0.04	NUM
ejpam-3395	197	44	2	2	NUM
ejpam-3395	197	45	3	3	NUM
ejpam-3395	197	46	0.001	0.001	NUM
ejpam-3395	197	47	100	100	NUM
ejpam-3395	197	48	table	table	NOUN
ejpam-3395	197	49	1	1	NUM
ejpam-3395	197	50	:	:	PUNCT
ejpam-3395	197	51	parameter	parameter	NOUN
ejpam-3395	197	52	of	of	ADP
ejpam-3395	197	53	mfh	mfh	PROPN
ejpam-3395	197	54	model	model	NOUN
ejpam-3395	197	55	(	(	PUNCT
ejpam-3395	197	56	a	a	NOUN
ejpam-3395	197	57	)	)	PUNCT
ejpam-3395	198	1	[	[	X
ejpam-3395	198	2	h=0.76	h=0.76	X
ejpam-3395	198	3	]	]	X
ejpam-3395	198	4	(	(	PUNCT
ejpam-3395	198	5	b	b	X
ejpam-3395	198	6	)	)	PUNCT
ejpam-3395	199	1	[	[	X
ejpam-3395	199	2	h=0.77	h=0.77	X
ejpam-3395	199	3	]	]	X
ejpam-3395	199	4	(	(	PUNCT
ejpam-3395	199	5	c	c	X
ejpam-3395	199	6	)	)	PUNCT
ejpam-3395	200	1	[	[	X
ejpam-3395	200	2	h=0.78	h=0.78	X
ejpam-3395	200	3	]	]	PUNCT
ejpam-3395	200	4	figure	figure	NOUN
ejpam-3395	200	5	1	1	NUM
ejpam-3395	200	6	:	:	PUNCT
ejpam-3395	200	7	simulated	simulate	VERB
ejpam-3395	200	8	asset	asset	NOUN
ejpam-3395	200	9	paths	path	NOUN
ejpam-3395	200	10	of	of	ADP
ejpam-3395	200	11	mfh	mfh	PROPN
ejpam-3395	200	12	model	model	NOUN
ejpam-3395	200	13	.	.	PUNCT
ejpam-3395	201	1	in	in	ADP
ejpam-3395	201	2	figure	figure	NOUN
ejpam-3395	201	3	1	1	NUM
ejpam-3395	201	4	above	above	ADV
ejpam-3395	201	5	,	,	PUNCT
ejpam-3395	201	6	we	we	PRON
ejpam-3395	201	7	see	see	VERB
ejpam-3395	201	8	80	80	NUM
ejpam-3395	201	9	simulated	simulated	ADJ
ejpam-3395	201	10	paths	path	NOUN
ejpam-3395	201	11	for	for	ADP
ejpam-3395	201	12	the	the	DET
ejpam-3395	201	13	asset	asset	NOUN
ejpam-3395	201	14	price	price	NOUN
ejpam-3395	201	15	with	with	ADP
ejpam-3395	201	16	different	different	ADJ
ejpam-3395	201	17	hurst	hurst	PROPN
ejpam-3395	201	18	parameter	parameter	PROPN
ejpam-3395	201	19	h	h	PROPN
ejpam-3395	201	20	such	such	ADJ
ejpam-3395	201	21	that	that	SCONJ
ejpam-3395	201	22	h	h	PROPN
ejpam-3395	201	23	>	>	X
ejpam-3395	201	24	3	3	NUM
ejpam-3395	201	25	4	4	NUM
ejpam-3395	201	26	.	.	PUNCT
ejpam-3395	202	1	figure	figure	VERB
ejpam-3395	202	2	1	1	NUM
ejpam-3395	202	3	below	below	ADP
ejpam-3395	202	4	shows	show	NOUN
ejpam-3395	202	5	that	that	SCONJ
ejpam-3395	202	6	increasing	increase	VERB
ejpam-3395	202	7	or	or	CCONJ
ejpam-3395	202	8	decreasing	decrease	VERB
ejpam-3395	202	9	the	the	DET
ejpam-3395	202	10	hurst	hurst	PROPN
ejpam-3395	202	11	parameters	parameter	NOUN
ejpam-3395	202	12	affects	affect	VERB
ejpam-3395	202	13	the	the	DET
ejpam-3395	202	14	future	future	ADJ
ejpam-3395	202	15	price	price	NOUN
ejpam-3395	202	16	of	of	ADP
ejpam-3395	202	17	the	the	DET
ejpam-3395	202	18	asset	asset	NOUN
ejpam-3395	202	19	so	so	SCONJ
ejpam-3395	202	20	that	that	SCONJ
ejpam-3395	202	21	,	,	PUNCT
ejpam-3395	202	22	by	by	ADP
ejpam-3395	202	23	increasing	increase	VERB
ejpam-3395	202	24	the	the	DET
ejpam-3395	202	25	hurst	hurst	PROPN
ejpam-3395	202	26	parameter	parameter	PROPN
ejpam-3395	202	27	,	,	PUNCT
ejpam-3395	202	28	the	the	DET
ejpam-3395	202	29	difference	difference	NOUN
ejpam-3395	202	30	between	between	ADP
ejpam-3395	202	31	expected	expect	VERB
ejpam-3395	202	32	lowest	low	ADJ
ejpam-3395	202	33	price	price	NOUN
ejpam-3395	202	34	and	and	CCONJ
ejpam-3395	202	35	the	the	DET
ejpam-3395	202	36	highest	high	ADJ
ejpam-3395	202	37	price	price	NOUN
ejpam-3395	202	38	will	will	AUX
ejpam-3395	202	39	be	be	AUX
ejpam-3395	202	40	increased	increase	VERB
ejpam-3395	202	41	.	.	PUNCT
ejpam-3395	203	1	the	the	DET
ejpam-3395	203	2	simulation	simulation	NOUN
ejpam-3395	203	3	of	of	ADP
ejpam-3395	203	4	the	the	DET
ejpam-3395	203	5	mfh	mfh	PROPN
ejpam-3395	203	6	model	model	NOUN
ejpam-3395	203	7	is	be	AUX
ejpam-3395	203	8	given	give	VERB
ejpam-3395	203	9	by	by	ADP
ejpam-3395	203	10	the	the	DET
ejpam-3395	203	11	following	follow	VERB
ejpam-3395	203	12	algorithm	algorithm	NOUN
ejpam-3395	203	13	algorithm	algorithm	NOUN
ejpam-3395	203	14	1	1	NUM
ejpam-3395	203	15	.	.	PUNCT
ejpam-3395	203	16	mfh	mfh	PROPN
ejpam-3395	203	17	model	model	PROPN
ejpam-3395	203	18	simulation	simulation	NOUN
ejpam-3395	203	19	process	process	NOUN
ejpam-3395	203	20	.	.	PUNCT
ejpam-3395	204	1	(	(	PUNCT
ejpam-3395	204	2	i	i	NOUN
ejpam-3395	204	3	)	)	PUNCT
ejpam-3395	204	4	set	set	VERB
ejpam-3395	204	5	∆	∆	PROPN
ejpam-3395	204	6	=	=	SYM
ejpam-3395	204	7	t	t	PROPN
ejpam-3395	204	8	n	n	NOUN
ejpam-3395	204	9	.	.	PUNCT
ejpam-3395	205	1	(	(	PUNCT
ejpam-3395	205	2	ii	ii	NOUN
ejpam-3395	205	3	)	)	PUNCT
ejpam-3395	205	4	for	for	ADP
ejpam-3395	205	5	i	i	PRON
ejpam-3395	205	6	=	=	NOUN
ejpam-3395	205	7	1	1	NUM
ejpam-3395	205	8	to	to	ADP
ejpam-3395	205	9	number	number	NOUN
ejpam-3395	205	10	of	of	ADP
ejpam-3395	205	11	simulation	simulation	NOUN
ejpam-3395	205	12	.	.	PUNCT
ejpam-3395	206	1	(	(	PUNCT
ejpam-3395	206	2	iii	iii	NOUN
ejpam-3395	206	3	)	)	PUNCT
ejpam-3395	206	4	generate	generate	VERB
ejpam-3395	206	5	independent	independent	ADJ
ejpam-3395	206	6	standard	standard	ADJ
ejpam-3395	206	7	normal	normal	ADJ
ejpam-3395	206	8	variables	variable	NOUN
ejpam-3395	206	9	,	,	PUNCT
ejpam-3395	206	10	zj	zj	X
ejpam-3395	206	11	∼	∼	NOUN
ejpam-3395	206	12	n	n	CCONJ
ejpam-3395	206	13	(	(	PUNCT
ejpam-3395	206	14	0	0	NUM
ejpam-3395	206	15	,	,	PUNCT
ejpam-3395	206	16	1	1	NUM
ejpam-3395	206	17	)	)	PUNCT
ejpam-3395	206	18	,	,	PUNCT
ejpam-3395	206	19	j	j	PROPN
ejpam-3395	207	1	=	=	SYM
ejpam-3395	207	2	1	1	NUM
ejpam-3395	207	3	,	,	PUNCT
ejpam-3395	207	4	.	.	PUNCT
ejpam-3395	207	5	.	.	PUNCT
ejpam-3395	208	1	.	.	PUNCT
ejpam-3395	209	1	,	,	PUNCT
ejpam-3395	209	2	n	n	X
ejpam-3395	209	3	.	.	PUNCT
ejpam-3395	210	1	(	(	PUNCT
ejpam-3395	210	2	iv	iv	X
ejpam-3395	210	3	)	)	PUNCT
ejpam-3395	210	4	setsj+1	setsj+1	NOUN
ejpam-3395	210	5	←	←	PROPN
ejpam-3395	210	6	sj	sj	NOUN
ejpam-3395	210	7	+	+	CCONJ
ejpam-3395	210	8	µsj∆t+	µsj∆t+	VERB
ejpam-3395	210	9	a(vj∆t	a(vj∆t	NOUN
ejpam-3395	210	10	)	)	PUNCT
ejpam-3395	210	11	1	1	NUM
ejpam-3395	210	12	2sjz1	2sjz1	NUM
ejpam-3395	211	1	+	+	CCONJ
ejpam-3395	211	2	bsjz1(vj∆t	bsjz1(vj∆t	X
ejpam-3395	211	3	2h	2h	NUM
ejpam-3395	211	4	)	)	PUNCT
ejpam-3395	211	5	1	1	NUM
ejpam-3395	211	6	2	2	NUM
ejpam-3395	211	7	.	.	PUNCT
ejpam-3395	212	1	(	(	PUNCT
ejpam-3395	212	2	v	v	NOUN
ejpam-3395	212	3	)	)	PUNCT
ejpam-3395	212	4	for	for	ADP
ejpam-3395	212	5	vj+1	vj+1	PROPN
ejpam-3395	212	6	←	←	PROPN
ejpam-3395	212	7	vj	vj	PROPN
ejpam-3395	212	8	+	+	CCONJ
ejpam-3395	213	1	κ(θ	κ(θ	PROPN
ejpam-3395	213	2	−	−	PROPN
ejpam-3395	213	3	vj)∆t+	vj)∆t+	PROPN
ejpam-3395	213	4	aσ(vj∆t	aσ(vj∆t	ADJ
ejpam-3395	213	5	)	)	PUNCT
ejpam-3395	213	6	1	1	NUM
ejpam-3395	213	7	2φ1	2φ1	NUM
ejpam-3395	213	8	+	+	CCONJ
ejpam-3395	213	9	bσφ1(vj∆t	bσφ1(vj∆t	PROPN
ejpam-3395	213	10	2h	2h	NUM
ejpam-3395	213	11	)	)	PUNCT
ejpam-3395	213	12	1	1	NUM
ejpam-3395	213	13	2	2	NUM
ejpam-3395	213	14	.	.	PUNCT
ejpam-3395	214	1	(	(	PUNCT
ejpam-3395	214	2	vi	vi	NOUN
ejpam-3395	214	3	)	)	PUNCT
ejpam-3395	214	4	end	end	NOUN
ejpam-3395	214	5	for	for	ADP
ejpam-3395	214	6	.	.	PUNCT
ejpam-3395	215	1	d.	d.	PROPN
ejpam-3395	215	2	a.	a.	PROPN
ejpam-3395	215	3	n.	n.	PROPN
ejpam-3395	215	4	njamen	njamen	PROPN
ejpam-3395	215	5	,	,	PUNCT
ejpam-3395	215	6	e.	e.	PROPN
ejpam-3395	215	7	djeutcha	djeutcha	PROPN
ejpam-3395	215	8	/	/	SYM
ejpam-3395	215	9	eur	eur	PROPN
ejpam-3395	215	10	.	.	PUNCT
ejpam-3395	216	1	j.	j.	PROPN
ejpam-3395	216	2	pure	pure	PROPN
ejpam-3395	216	3	appl	appl	PROPN
ejpam-3395	216	4	.	.	PROPN
ejpam-3395	216	5	math	math	PROPN
ejpam-3395	216	6	,	,	PUNCT
ejpam-3395	216	7	12	12	NUM
ejpam-3395	216	8	(	(	PUNCT
ejpam-3395	216	9	2	2	NUM
ejpam-3395	216	10	)	)	PUNCT
ejpam-3395	216	11	(	(	PUNCT
ejpam-3395	216	12	2019	2019	NUM
ejpam-3395	216	13	)	)	PUNCT
ejpam-3395	216	14	,	,	PUNCT
ejpam-3395	216	15	448	448	NUM
ejpam-3395	216	16	-	-	SYM
ejpam-3395	216	17	468	468	NUM
ejpam-3395	216	18	456	456	NUM
ejpam-3395	216	19	3.3	3.3	NUM
ejpam-3395	216	20	.	.	PUNCT
ejpam-3395	217	1	existence	existence	NOUN
ejpam-3395	217	2	and	and	CCONJ
ejpam-3395	217	3	uniqueness	uniqueness	NOUN
ejpam-3395	217	4	now	now	ADV
ejpam-3395	217	5	we	we	PRON
ejpam-3395	217	6	will	will	AUX
ejpam-3395	217	7	discuss	discuss	VERB
ejpam-3395	217	8	the	the	DET
ejpam-3395	217	9	solutions	solution	NOUN
ejpam-3395	217	10	for	for	ADP
ejpam-3395	217	11	non	non	ADJ
ejpam-3395	217	12	-	-	ADJ
ejpam-3395	217	13	lipschitz	lipschitz	ADJ
ejpam-3395	217	14	sde	sde	NOUN
ejpam-3395	217	15	’s	’s	NOUN
ejpam-3395	217	16	with	with	ADP
ejpam-3395	217	17	brownian	brownian	ADJ
ejpam-3395	217	18	motion	motion	NOUN
ejpam-3395	217	19	,	,	PUNCT
ejpam-3395	217	20	fbm	fbm	NOUN
ejpam-3395	217	21	for	for	ADP
ejpam-3395	217	22	each	each	DET
ejpam-3395	217	23	equation	equation	NOUN
ejpam-3395	217	24	defined	define	VERB
ejpam-3395	217	25	in	in	ADP
ejpam-3395	217	26	(	(	PUNCT
ejpam-3395	217	27	58	58	NUM
ejpam-3395	217	28	)	)	PUNCT
ejpam-3395	217	29	by	by	ADP
ejpam-3395	217	30	using	use	VERB
ejpam-3395	217	31	an	an	DET
ejpam-3395	217	32	iteration	iteration	NOUN
ejpam-3395	217	33	of	of	ADP
ejpam-3395	217	34	picard	picard	NOUN
ejpam-3395	217	35	[	[	X
ejpam-3395	217	36	12	12	NUM
ejpam-3395	217	37	]	]	PUNCT
ejpam-3395	217	38	.	.	PUNCT
ejpam-3395	218	1	let	let	VERB
ejpam-3395	218	2	x0(t	x0(t	NUM
ejpam-3395	218	3	)	)	PUNCT
ejpam-3395	218	4	=	=	SYM
ejpam-3395	218	5	ζ	ζ	NOUN
ejpam-3395	218	6	be	be	AUX
ejpam-3395	218	7	a	a	DET
ejpam-3395	218	8	random	random	ADJ
ejpam-3395	218	9	variable	variable	NOUN
ejpam-3395	218	10	with	with	ADP
ejpam-3395	218	11	e|ζ|2	e|ζ|2	NOUN
ejpam-3395	218	12	<	<	X
ejpam-3395	219	1	+	+	NOUN
ejpam-3395	219	2	∞.	∞.	PROPN
ejpam-3395	219	3	in	in	ADP
ejpam-3395	219	4	the	the	DET
ejpam-3395	219	5	general	general	ADJ
ejpam-3395	219	6	case	case	NOUN
ejpam-3395	219	7	,	,	PUNCT
ejpam-3395	219	8	we	we	PRON
ejpam-3395	219	9	construct	construct	VERB
ejpam-3395	219	10	an	an	DET
ejpam-3395	219	11	approximative	approximative	ADJ
ejpam-3395	219	12	sequence	sequence	NOUN
ejpam-3395	219	13	of	of	ADP
ejpam-3395	219	14	stochastic	stochastic	ADJ
ejpam-3395	219	15	process	process	NOUN
ejpam-3395	219	16	{	{	PUNCT
ejpam-3395	219	17	xp(t)}p≥1	xp(t)}p≥1	PROPN
ejpam-3395	219	18	as	as	SCONJ
ejpam-3395	219	19	follows	follow	VERB
ejpam-3395	219	20	xp(t	xp(t	PUNCT
ejpam-3395	219	21	)	)	PUNCT
ejpam-3395	220	1	=	=	SYM
ejpam-3395	220	2	ζ	ζ	NOUN
ejpam-3395	220	3	+	+	NUM
ejpam-3395	220	4	∫	∫	PROPN
ejpam-3395	220	5	t	t	NOUN
ejpam-3395	220	6	0	0	NUM
ejpam-3395	220	7	µ(s	µ(s	PROPN
ejpam-3395	220	8	,	,	PUNCT
ejpam-3395	220	9	xp−1(s))ds+	xp−1(s))ds+	PROPN
ejpam-3395	220	10	∫	∫	PROPN
ejpam-3395	221	1	t	t	PROPN
ejpam-3395	221	2	0	0	NUM
ejpam-3395	221	3	σ1(s	σ1(s	PROPN
ejpam-3395	221	4	,	,	PUNCT
ejpam-3395	221	5	xp−1(s))dbs	xp−1(s))dbs	PUNCT
ejpam-3395	222	1	+	+	CCONJ
ejpam-3395	223	1	∫	∫	PROPN
ejpam-3395	223	2	t	t	PROPN
ejpam-3395	223	3	0	0	NUM
ejpam-3395	223	4	σ2(s	σ2(s	PROPN
ejpam-3395	223	5	,	,	PUNCT
ejpam-3395	223	6	xp−1(s))dbhs	xp−1(s))dbhs	PROPN
ejpam-3395	223	7	.	.	PUNCT
ejpam-3395	224	1	(	(	PUNCT
ejpam-3395	224	2	34	34	NUM
ejpam-3395	224	3	)	)	PUNCT
ejpam-3395	224	4	theorem	theorem	NOUN
ejpam-3395	224	5	1	1	NUM
ejpam-3395	224	6	.	.	PUNCT
ejpam-3395	225	1	under	under	ADP
ejpam-3395	225	2	the	the	DET
ejpam-3395	225	3	assumptions	assumption	NOUN
ejpam-3395	225	4	a.1	a.1	PUNCT
ejpam-3395	225	5	and	and	CCONJ
ejpam-3395	225	6	a.2	a.2	PUNCT
ejpam-3395	225	7	,	,	PUNCT
ejpam-3395	225	8	the	the	DET
ejpam-3395	225	9	path	path	NOUN
ejpam-3395	225	10	-	-	PUNCT
ejpam-3395	225	11	wise	wise	ADJ
ejpam-3395	225	12	uniqueness	uniqueness	NOUN
ejpam-3395	225	13	holds	hold	VERB
ejpam-3395	225	14	for	for	ADP
ejpam-3395	225	15	(	(	PUNCT
ejpam-3395	225	16	3	3	NUM
ejpam-3395	225	17	)	)	PUNCT
ejpam-3395	225	18	,	,	PUNCT
ejpam-3395	225	19	t	t	PROPN
ejpam-3395	225	20	∈	∈	PROPN
ejpam-3395	226	1	[	[	X
ejpam-3395	226	2	0	0	NUM
ejpam-3395	226	3	,	,	PUNCT
ejpam-3395	226	4	t	t	X
ejpam-3395	226	5	]	]	PUNCT
ejpam-3395	226	6	.	.	PUNCT
ejpam-3395	227	1	proof	proof	NOUN
ejpam-3395	227	2	.	.	PUNCT
ejpam-3395	228	1	let	let	VERB
ejpam-3395	228	2	y	y	PROPN
ejpam-3395	228	3	(	(	PUNCT
ejpam-3395	228	4	t	t	PROPN
ejpam-3395	228	5	)	)	PUNCT
ejpam-3395	228	6	and	and	CCONJ
ejpam-3395	228	7	z(t	z(t	NOUN
ejpam-3395	228	8	)	)	PUNCT
ejpam-3395	228	9	be	be	VERB
ejpam-3395	228	10	two	two	NUM
ejpam-3395	228	11	solutions	solution	NOUN
ejpam-3395	228	12	of	of	ADP
ejpam-3395	228	13	(	(	PUNCT
ejpam-3395	228	14	34	34	NUM
ejpam-3395	228	15	)	)	PUNCT
ejpam-3395	228	16	and	and	CCONJ
ejpam-3395	228	17	y	y	PROPN
ejpam-3395	228	18	(	(	PUNCT
ejpam-3395	228	19	0	0	NUM
ejpam-3395	228	20	)	)	PUNCT
ejpam-3395	228	21	=	=	PUNCT
ejpam-3395	228	22	z(0	z(0	NOUN
ejpam-3395	228	23	)	)	PUNCT
ejpam-3395	228	24	,	,	PUNCT
ejpam-3395	228	25	we	we	PRON
ejpam-3395	228	26	have	have	VERB
ejpam-3395	228	27	y	y	PROPN
ejpam-3395	228	28	(	(	PUNCT
ejpam-3395	228	29	t)−	t)−	PROPN
ejpam-3395	228	30	z(t	z(t	PROPN
ejpam-3395	228	31	)	)	PUNCT
ejpam-3395	229	1	=	=	SYM
ejpam-3395	230	1	∫	∫	PROPN
ejpam-3395	230	2	t	t	PROPN
ejpam-3395	230	3	0	0	NUM
ejpam-3395	230	4	µ̃(s)ds+	µ̃(s)ds+	ADJ
ejpam-3395	230	5	∫	∫	PROPN
ejpam-3395	230	6	t	t	PROPN
ejpam-3395	230	7	0	0	NUM
ejpam-3395	230	8	σ̃1(s)dbs	σ̃1(s)dbs	NUM
ejpam-3395	230	9	+	+	CCONJ
ejpam-3395	230	10	∫	∫	PROPN
ejpam-3395	230	11	t	t	PROPN
ejpam-3395	230	12	0	0	NUM
ejpam-3395	230	13	σ̃2(s)d	σ̃2(s)d	PROPN
ejpam-3395	230	14	◦	◦	NOUN
ejpam-3395	230	15	bhs	bhs	NOUN
ejpam-3395	230	16	=	=	SYM
ejpam-3395	230	17	iµ(t	iµ(t	PRON
ejpam-3395	230	18	)	)	PUNCT
ejpam-3395	231	1	+	+	CCONJ
ejpam-3395	231	2	iσ1	iσ1	NOUN
ejpam-3395	231	3	(	(	PUNCT
ejpam-3395	231	4	t	t	NOUN
ejpam-3395	231	5	)	)	PUNCT
ejpam-3395	232	1	+	+	CCONJ
ejpam-3395	232	2	iσ2	iσ2	NOUN
ejpam-3395	232	3	(	(	PUNCT
ejpam-3395	232	4	t	t	PROPN
ejpam-3395	232	5	)	)	PUNCT
ejpam-3395	232	6	with	with	ADP
ejpam-3395	232	7			PRON
ejpam-3395	232	8	iµ(t	iµ(t	PUNCT
ejpam-3395	232	9	)	)	PUNCT
ejpam-3395	232	10	=	=	SYM
ejpam-3395	233	1	∫	∫	PROPN
ejpam-3395	233	2	t	t	NOUN
ejpam-3395	233	3	0	0	NUM
ejpam-3395	233	4	µ̃(s)ds	µ̃(s)ds	NOUN
ejpam-3395	233	5	iσ1	iσ1	VERB
ejpam-3395	233	6	(	(	PUNCT
ejpam-3395	233	7	t	t	NOUN
ejpam-3395	233	8	)	)	PUNCT
ejpam-3395	233	9	=	=	SYM
ejpam-3395	234	1	∫	∫	PROPN
ejpam-3395	234	2	t	t	PROPN
ejpam-3395	234	3	0	0	NUM
ejpam-3395	234	4	σ̃1(s)dbs	σ̃1(s)dbs	NUM
ejpam-3395	234	5	iσ2	iσ2	PROPN
ejpam-3395	234	6	(	(	PUNCT
ejpam-3395	234	7	t	t	PROPN
ejpam-3395	234	8	)	)	PUNCT
ejpam-3395	234	9	=	=	SYM
ejpam-3395	235	1	∫	∫	PROPN
ejpam-3395	235	2	t	t	PROPN
ejpam-3395	235	3	0	0	NUM
ejpam-3395	235	4	σ̃2(s)d	σ̃2(s)d	PROPN
ejpam-3395	235	5	◦	◦	NOUN
ejpam-3395	235	6	bhs	bhs	PROPN
ejpam-3395	235	7	.	.	PUNCT
ejpam-3395	236	1	(	(	PUNCT
ejpam-3395	236	2	35	35	NUM
ejpam-3395	236	3	)	)	PUNCT
ejpam-3395	236	4	where	where	SCONJ
ejpam-3395	236	5			VERB
ejpam-3395	236	6	µ̃(s	µ̃(	NOUN
ejpam-3395	236	7	)	)	PUNCT
ejpam-3395	236	8	=	=	SYM
ejpam-3395	236	9	µ(s	µ(s	X
ejpam-3395	236	10	,	,	PUNCT
ejpam-3395	236	11	y	y	PROPN
ejpam-3395	236	12	(	(	PUNCT
ejpam-3395	236	13	s))−	s))−	ADJ
ejpam-3395	236	14	µ(s	µ(	NOUN
ejpam-3395	236	15	,	,	PUNCT
ejpam-3395	236	16	z(s	z(s	PROPN
ejpam-3395	236	17	)	)	PUNCT
ejpam-3395	236	18	)	)	PUNCT
ejpam-3395	236	19	σ̃1(s	σ̃1(s	PROPN
ejpam-3395	236	20	)	)	PUNCT
ejpam-3395	236	21	=	=	SYM
ejpam-3395	237	1	σ1(s	σ1(s	PROPN
ejpam-3395	237	2	,	,	PUNCT
ejpam-3395	237	3	y	y	PROPN
ejpam-3395	237	4	(	(	PUNCT
ejpam-3395	237	5	s))−	s))−	PROPN
ejpam-3395	237	6	σ1(s	σ1(s	PROPN
ejpam-3395	237	7	,	,	PUNCT
ejpam-3395	237	8	z(s	z(s	PROPN
ejpam-3395	237	9	)	)	PUNCT
ejpam-3395	237	10	)	)	PUNCT
ejpam-3395	237	11	σ̃2(s	σ̃2(s	PROPN
ejpam-3395	237	12	)	)	PUNCT
ejpam-3395	237	13	=	=	SYM
ejpam-3395	238	1	σ2(s	σ2(s	PROPN
ejpam-3395	238	2	,	,	PUNCT
ejpam-3395	238	3	y	y	PROPN
ejpam-3395	238	4	(	(	PUNCT
ejpam-3395	238	5	s))−	s))−	PROPN
ejpam-3395	238	6	σ2(s	σ2(s	PROPN
ejpam-3395	238	7	,	,	PUNCT
ejpam-3395	238	8	z(s	z(s	PROPN
ejpam-3395	238	9	)	)	PUNCT
ejpam-3395	238	10	)	)	PUNCT
ejpam-3395	238	11	,	,	PUNCT
ejpam-3395	238	12	(	(	PUNCT
ejpam-3395	238	13	36	36	NUM
ejpam-3395	238	14	)	)	PUNCT
ejpam-3395	238	15	by	by	ADP
ejpam-3395	238	16	employing	employ	VERB
ejpam-3395	238	17	the	the	DET
ejpam-3395	238	18	following	follow	VERB
ejpam-3395	238	19	inequality	inequality	NOUN
ejpam-3395	238	20	∀a1	∀a1	PROPN
ejpam-3395	238	21	,	,	PUNCT
ejpam-3395	238	22	a2	a2	PROPN
ejpam-3395	238	23	,	,	PUNCT
ejpam-3395	238	24	a3	a3	NOUN
ejpam-3395	238	25	∈	∈	PROPN
ejpam-3395	238	26	r	r	NOUN
ejpam-3395	238	27	,	,	PUNCT
ejpam-3395	238	28	|a1	|a1	NOUN
ejpam-3395	238	29	+	+	CCONJ
ejpam-3395	238	30	a2	a2	PROPN
ejpam-3395	238	31	+	+	CCONJ
ejpam-3395	238	32	a3|2	a3|2	PROPN
ejpam-3395	238	33	≤	≤	NOUN
ejpam-3395	238	34	3|a1|2	3|a1|2	NUM
ejpam-3395	238	35	+	+	CCONJ
ejpam-3395	238	36	3|a2|2	3|a2|2	NUM
ejpam-3395	238	37	+	+	NUM
ejpam-3395	238	38	3|a3|2	3|a3|2	NUM
ejpam-3395	238	39	.	.	PUNCT
ejpam-3395	239	1	(	(	PUNCT
ejpam-3395	239	2	37	37	NUM
ejpam-3395	239	3	)	)	PUNCT
ejpam-3395	239	4	it	it	PRON
ejpam-3395	239	5	follows	follow	VERB
ejpam-3395	239	6	that	that	SCONJ
ejpam-3395	239	7	|y	|y	NOUN
ejpam-3395	239	8	(	(	PUNCT
ejpam-3395	239	9	t)−	t)−	PROPN
ejpam-3395	239	10	z(t)|2	z(t)|2	PROPN
ejpam-3395	239	11	≤	≤	PROPN
ejpam-3395	239	12	3	3	NUM
ejpam-3395	239	13	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	239	14	t	t	NOUN
ejpam-3395	239	15	0	0	NUM
ejpam-3395	240	1	µ̃(s)ds	µ̃(s)ds	NOUN
ejpam-3395	240	2	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	240	3	+	+	CCONJ
ejpam-3395	240	4	3	3	NUM
ejpam-3395	240	5	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	240	6	t	t	NOUN
ejpam-3395	240	7	0	0	NUM
ejpam-3395	240	8	σ̃1(s)dbs	σ̃1(s)dbs	NUM
ejpam-3395	240	9	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	241	1	+	+	CCONJ
ejpam-3395	241	2	3	3	NUM
ejpam-3395	241	3	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	241	4	t	t	NOUN
ejpam-3395	241	5	0	0	NUM
ejpam-3395	241	6	σ̃2(s)d	σ̃2(s)d	PROPN
ejpam-3395	241	7	◦	◦	PROPN
ejpam-3395	241	8	bhs	bhs	PROPN
ejpam-3395	241	9	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	241	10	.	.	PUNCT
ejpam-3395	242	1	(	(	PUNCT
ejpam-3395	242	2	38	38	NUM
ejpam-3395	242	3	)	)	PUNCT
ejpam-3395	242	4	we	we	PRON
ejpam-3395	242	5	observe	observe	VERB
ejpam-3395	242	6	e|y	e|y	PROPN
ejpam-3395	242	7	(	(	PUNCT
ejpam-3395	242	8	t)−	t)−	PROPN
ejpam-3395	242	9	z(t)|2	z(t)|2	PROPN
ejpam-3395	242	10	≤	≤	VERB
ejpam-3395	242	11	3e|iµ(t)|2	3e|iµ(t)|2	NUM
ejpam-3395	243	1	+	+	NUM
ejpam-3395	243	2	3e|iσ1	3e|iσ1	NOUN
ejpam-3395	243	3	(	(	PUNCT
ejpam-3395	243	4	t)|2	t)|2	NOUN
ejpam-3395	243	5	+	+	CCONJ
ejpam-3395	243	6	3e|iσ2	3e|iσ2	PROPN
ejpam-3395	243	7	(	(	PUNCT
ejpam-3395	243	8	t)|2	t)|2	PROPN
ejpam-3395	243	9	.	.	PUNCT
ejpam-3395	244	1	(	(	PUNCT
ejpam-3395	244	2	39	39	NUM
ejpam-3395	244	3	)	)	PUNCT
ejpam-3395	244	4	we	we	PRON
ejpam-3395	244	5	have	have	VERB
ejpam-3395	244	6	to	to	PART
ejpam-3395	244	7	estimate	estimate	VERB
ejpam-3395	244	8	e|iµ(t)|2	e|iµ(t)|2	PROPN
ejpam-3395	244	9	,	,	PUNCT
ejpam-3395	244	10	e|iσ1	e|iσ1	NOUN
ejpam-3395	244	11	(	(	PUNCT
ejpam-3395	244	12	t)|2	t)|2	NOUN
ejpam-3395	244	13	and	and	CCONJ
ejpam-3395	244	14	e|iσ2	e|iσ2	PROPN
ejpam-3395	244	15	(	(	PUNCT
ejpam-3395	244	16	t)|2	t)|2	PROPN
ejpam-3395	244	17	.	.	PUNCT
ejpam-3395	245	1	according	accord	VERB
ejpam-3395	245	2	to	to	ADP
ejpam-3395	245	3	the	the	DET
ejpam-3395	245	4	ito	ito	PROPN
ejpam-3395	245	5	’s	’s	PART
ejpam-3395	245	6	isometry	isometry	NOUN
ejpam-3395	245	7	we	we	PRON
ejpam-3395	245	8	have	have	VERB
ejpam-3395	245	9	e	e	NOUN
ejpam-3395	245	10	∣∣∣∣∫	∣∣∣∣∫	PRON
ejpam-3395	245	11	t	t	PROPN
ejpam-3395	245	12	0	0	NUM
ejpam-3395	245	13	σ̃1(s)dbs	σ̃1(s)dbs	NUM
ejpam-3395	245	14	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	245	15	=	=	SYM
ejpam-3395	245	16	e	e	PROPN
ejpam-3395	245	17	∫	∫	PROPN
ejpam-3395	245	18	t	t	PROPN
ejpam-3395	245	19	0	0	NUM
ejpam-3395	245	20	|σ̃1(s)|2	|σ̃1(s)|2	PROPN
ejpam-3395	245	21	ds	ds	PROPN
ejpam-3395	245	22	.	.	PUNCT
ejpam-3395	246	1	(	(	PUNCT
ejpam-3395	246	2	40	40	NUM
ejpam-3395	246	3	)	)	PUNCT
ejpam-3395	246	4	by	by	ADP
ejpam-3395	246	5	using	use	VERB
ejpam-3395	246	6	fubini	fubini	NOUN
ejpam-3395	246	7	’s	’s	PART
ejpam-3395	246	8	theorem	theorem	NOUN
ejpam-3395	246	9	,	,	PUNCT
ejpam-3395	246	10	we	we	PRON
ejpam-3395	246	11	have	have	VERB
ejpam-3395	246	12	e	e	PROPN
ejpam-3395	246	13	∫	∫	PROPN
ejpam-3395	246	14	t	t	PROPN
ejpam-3395	246	15	0	0	NUM
ejpam-3395	246	16	|σ̃1(s)|2	|σ̃1(s)|2	PROPN
ejpam-3395	246	17	ds	ds	PROPN
ejpam-3395	246	18	=	=	SYM
ejpam-3395	246	19	∫	∫	PROPN
ejpam-3395	246	20	t	t	NOUN
ejpam-3395	246	21	0	0	NUM
ejpam-3395	246	22	e	e	NOUN
ejpam-3395	246	23	|σ̃1(s)|2	|σ̃1(s)|2	PROPN
ejpam-3395	246	24	ds	ds	PROPN
ejpam-3395	246	25	.	.	PUNCT
ejpam-3395	247	1	(	(	PUNCT
ejpam-3395	247	2	41	41	NUM
ejpam-3395	247	3	)	)	PUNCT
ejpam-3395	247	4	d.	d.	PROPN
ejpam-3395	247	5	a.	a.	PROPN
ejpam-3395	247	6	n.	n.	PROPN
ejpam-3395	247	7	njamen	njamen	PROPN
ejpam-3395	247	8	,	,	PUNCT
ejpam-3395	247	9	e.	e.	PROPN
ejpam-3395	247	10	djeutcha	djeutcha	PROPN
ejpam-3395	247	11	/	/	SYM
ejpam-3395	247	12	eur	eur	PROPN
ejpam-3395	247	13	.	.	PUNCT
ejpam-3395	248	1	j.	j.	PROPN
ejpam-3395	248	2	pure	pure	PROPN
ejpam-3395	248	3	appl	appl	PROPN
ejpam-3395	248	4	.	.	PROPN
ejpam-3395	248	5	math	math	PROPN
ejpam-3395	248	6	,	,	PUNCT
ejpam-3395	248	7	12	12	NUM
ejpam-3395	248	8	(	(	PUNCT
ejpam-3395	248	9	2	2	NUM
ejpam-3395	248	10	)	)	PUNCT
ejpam-3395	248	11	(	(	PUNCT
ejpam-3395	248	12	2019	2019	NUM
ejpam-3395	248	13	)	)	PUNCT
ejpam-3395	248	14	,	,	PUNCT
ejpam-3395	248	15	448	448	NUM
ejpam-3395	248	16	-	-	SYM
ejpam-3395	248	17	468	468	NUM
ejpam-3395	248	18	457	457	NUM
ejpam-3395	248	19	using	use	VERB
ejpam-3395	248	20	the	the	DET
ejpam-3395	248	21	linear	linear	ADJ
ejpam-3395	248	22	growth	growth	NOUN
ejpam-3395	248	23	assumption	assumption	NOUN
ejpam-3395	248	24	in	in	ADP
ejpam-3395	248	25	(	(	PUNCT
ejpam-3395	248	26	a.1.4	a.1.4	ADJ
ejpam-3395	248	27	)	)	PUNCT
ejpam-3395	248	28	,	,	PUNCT
ejpam-3395	248	29	it	it	PRON
ejpam-3395	248	30	is	be	AUX
ejpam-3395	248	31	easy	easy	ADJ
ejpam-3395	248	32	to	to	PART
ejpam-3395	248	33	see	see	VERB
ejpam-3395	248	34	that	that	SCONJ
ejpam-3395	248	35	|σ̃1(s)|2	|σ̃1(s)|2	PROPN
ejpam-3395	248	36	≤	≤	NUM
ejpam-3395	248	37	%	%	NOUN
ejpam-3395	248	38	(	(	PUNCT
ejpam-3395	248	39	|y	|y	NOUN
ejpam-3395	248	40	(	(	PUNCT
ejpam-3395	248	41	s)−	s)−	PROPN
ejpam-3395	248	42	z(s)|2	z(s)|2	PROPN
ejpam-3395	248	43	)	)	PUNCT
ejpam-3395	248	44	(	(	PUNCT
ejpam-3395	248	45	42	42	NUM
ejpam-3395	248	46	)	)	PUNCT
ejpam-3395	248	47	and	and	CCONJ
ejpam-3395	248	48	then	then	ADV
ejpam-3395	248	49	e	e	PROPN
ejpam-3395	248	50	|σ̃1(s)|2	|σ̃1(s)|2	PROPN
ejpam-3395	248	51	≤	≤	NUM
ejpam-3395	248	52	e[%(|y	e[%(|y	NOUN
ejpam-3395	248	53	(	(	PUNCT
ejpam-3395	248	54	s)−	s)−	PROPN
ejpam-3395	248	55	z(s)|2	z(s)|2	PROPN
ejpam-3395	248	56	)	)	PUNCT
ejpam-3395	248	57	]	]	PUNCT
ejpam-3395	248	58	.	.	PUNCT
ejpam-3395	249	1	(	(	PUNCT
ejpam-3395	249	2	43	43	NUM
ejpam-3395	249	3	)	)	PUNCT
ejpam-3395	249	4	according	accord	VERB
ejpam-3395	249	5	to	to	ADP
ejpam-3395	249	6	the	the	DET
ejpam-3395	249	7	jensen	jensen	PROPN
ejpam-3395	249	8	’s	’s	PART
ejpam-3395	249	9	inequality	inequality	NOUN
ejpam-3395	249	10	,	,	PUNCT
ejpam-3395	249	11	we	we	PRON
ejpam-3395	249	12	have	have	VERB
ejpam-3395	249	13	e	e	NOUN
ejpam-3395	249	14	[	[	PUNCT
ejpam-3395	249	15	%	%	INTJ
ejpam-3395	249	16	(	(	PUNCT
ejpam-3395	249	17	|y	|y	NOUN
ejpam-3395	249	18	(	(	PUNCT
ejpam-3395	249	19	s)−	s)−	PROPN
ejpam-3395	249	20	z(s)|2	z(s)|2	PROPN
ejpam-3395	249	21	)	)	PUNCT
ejpam-3395	249	22	]	]	PUNCT
ejpam-3395	250	1	≤	≤	NUM
ejpam-3395	250	2	%	%	NOUN
ejpam-3395	250	3	(	(	PUNCT
ejpam-3395	250	4	e	e	NOUN
ejpam-3395	250	5	|y	|y	NOUN
ejpam-3395	250	6	(	(	PUNCT
ejpam-3395	250	7	s)−	s)−	PROPN
ejpam-3395	250	8	z(s)|2	z(s)|2	PROPN
ejpam-3395	250	9	)	)	PUNCT
ejpam-3395	250	10	,	,	PUNCT
ejpam-3395	250	11	(	(	PUNCT
ejpam-3395	250	12	44	44	NUM
ejpam-3395	250	13	)	)	PUNCT
ejpam-3395	250	14	it	it	PRON
ejpam-3395	250	15	follows	follow	VERB
ejpam-3395	250	16	that	that	SCONJ
ejpam-3395	250	17	∫	∫	PROPN
ejpam-3395	250	18	t	t	NOUN
ejpam-3395	250	19	0	0	NUM
ejpam-3395	251	1	e	e	NOUN
ejpam-3395	251	2	|σ̃1(s)|2	|σ̃1(s)|2	PROPN
ejpam-3395	251	3	ds	ds	VERB
ejpam-3395	251	4	≤	≤	NUM
ejpam-3395	251	5	∫	∫	PROPN
ejpam-3395	251	6	t	t	NOUN
ejpam-3395	251	7	0	0	NUM
ejpam-3395	251	8	%	%	NOUN
ejpam-3395	251	9	(	(	PUNCT
ejpam-3395	251	10	e	e	NOUN
ejpam-3395	251	11	|y	|y	NOUN
ejpam-3395	251	12	(	(	PUNCT
ejpam-3395	251	13	s)−	s)−	PROPN
ejpam-3395	251	14	z(s)|2	z(s)|2	PROPN
ejpam-3395	251	15	)	)	PUNCT
ejpam-3395	252	1	ds	ds	PROPN
ejpam-3395	252	2	.	.	PUNCT
ejpam-3395	253	1	(	(	PUNCT
ejpam-3395	253	2	45	45	NUM
ejpam-3395	253	3	)	)	PUNCT
ejpam-3395	253	4	therefore	therefore	ADV
ejpam-3395	253	5	,	,	PUNCT
ejpam-3395	253	6	e|iσ1(t)|2	e|iσ1(t)|2	VERB
ejpam-3395	253	7	≤	≤	NUM
ejpam-3395	253	8	∫	∫	PROPN
ejpam-3395	254	1	t	t	PROPN
ejpam-3395	254	2	0	0	NUM
ejpam-3395	254	3	%	%	NOUN
ejpam-3395	254	4	(	(	PUNCT
ejpam-3395	254	5	e	e	NOUN
ejpam-3395	254	6	|y	|y	NOUN
ejpam-3395	254	7	(	(	PUNCT
ejpam-3395	254	8	s)−	s)−	PROPN
ejpam-3395	254	9	z(s)|2	z(s)|2	PROPN
ejpam-3395	254	10	)	)	PUNCT
ejpam-3395	255	1	ds	ds	PROPN
ejpam-3395	255	2	.	.	PUNCT
ejpam-3395	255	3	(	(	PUNCT
ejpam-3395	255	4	46	46	NUM
ejpam-3395	255	5	)	)	PUNCT
ejpam-3395	255	6	using	use	VERB
ejpam-3395	255	7	the	the	DET
ejpam-3395	255	8	simple	simple	ADJ
ejpam-3395	255	9	estimation	estimation	NOUN
ejpam-3395	255	10	,	,	PUNCT
ejpam-3395	255	11	we	we	PRON
ejpam-3395	255	12	have	have	VERB
ejpam-3395	255	13	e	e	NOUN
ejpam-3395	255	14	|iµ(t)|2	|iµ(t)|2	NOUN
ejpam-3395	255	15	=	=	SYM
ejpam-3395	255	16	e	e	NOUN
ejpam-3395	255	17	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	255	18	t	t	PROPN
ejpam-3395	255	19	0	0	NUM
ejpam-3395	256	1	µ̃(s)ds	µ̃(s)ds	NOUN
ejpam-3395	256	2	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	256	3	≤	≤	NUM
ejpam-3395	256	4	te	te	ADP
ejpam-3395	256	5	∫	∫	PROPN
ejpam-3395	256	6	t	t	PROPN
ejpam-3395	256	7	0	0	NUM
ejpam-3395	256	8	|µ̃(s)|2	|µ̃(s)|2	NOUN
ejpam-3395	256	9	ds	ds	PROPN
ejpam-3395	256	10	,	,	PUNCT
ejpam-3395	256	11	(	(	PUNCT
ejpam-3395	256	12	47	47	NUM
ejpam-3395	256	13	)	)	PUNCT
ejpam-3395	256	14	and	and	CCONJ
ejpam-3395	256	15	by	by	ADP
ejpam-3395	256	16	fubini	fubini	NOUN
ejpam-3395	256	17	’s	’s	PART
ejpam-3395	256	18	theorem	theorem	NOUN
ejpam-3395	256	19	,	,	PUNCT
ejpam-3395	256	20	we	we	PRON
ejpam-3395	256	21	have	have	VERB
ejpam-3395	256	22	e	e	NOUN
ejpam-3395	256	23	|iµ(t)|2	|iµ(t)|2	VERB
ejpam-3395	256	24	≤	≤	NUM
ejpam-3395	256	25	t	t	PROPN
ejpam-3395	256	26	∫	∫	PROPN
ejpam-3395	256	27	t	t	PROPN
ejpam-3395	256	28	0	0	NUM
ejpam-3395	257	1	e	e	NOUN
ejpam-3395	257	2	|µ̃(s)|2	|µ̃(s)|2	X
ejpam-3395	257	3	ds	ds	PROPN
ejpam-3395	257	4	.	.	PUNCT
ejpam-3395	257	5	(	(	PUNCT
ejpam-3395	257	6	48	48	NUM
ejpam-3395	257	7	)	)	PUNCT
ejpam-3395	257	8	consequently	consequently	ADV
ejpam-3395	257	9	e|iµ(t)|2	e|iµ(t)|2	VERB
ejpam-3395	257	10	≤	≤	ADV
ejpam-3395	257	11	8	8	NUM
ejpam-3395	257	12	t	t	NOUN
ejpam-3395	257	13	∫	∫	NOUN
ejpam-3395	257	14	t	t	PROPN
ejpam-3395	257	15	0	0	NUM
ejpam-3395	257	16	e|µ̃(s)|2ds	e|µ̃(s)|2ds	NOUN
ejpam-3395	257	17	.	.	PUNCT
ejpam-3395	258	1	(	(	PUNCT
ejpam-3395	258	2	49	49	NUM
ejpam-3395	258	3	)	)	PUNCT
ejpam-3395	258	4	we	we	PRON
ejpam-3395	258	5	know	know	VERB
ejpam-3395	258	6	that	that	SCONJ
ejpam-3395	258	7	bht	bht	PROPN
ejpam-3395	258	8	is	be	AUX
ejpam-3395	258	9	the	the	DET
ejpam-3395	258	10	fbm	fbm	NOUN
ejpam-3395	258	11	with	with	ADP
ejpam-3395	258	12	1	1	NUM
ejpam-3395	258	13	2	2	NUM
ejpam-3395	258	14	<	<	X
ejpam-3395	258	15	h	h	NOUN
ejpam-3395	258	16	<	<	X
ejpam-3395	258	17	1	1	NUM
ejpam-3395	258	18	and	and	CCONJ
ejpam-3395	258	19	σ̃2(t	σ̃2(t	NOUN
ejpam-3395	258	20	)	)	PUNCT
ejpam-3395	258	21	is	be	AUX
ejpam-3395	258	22	a	a	DET
ejpam-3395	258	23	stochastic	stochastic	ADJ
ejpam-3395	258	24	process	process	NOUN
ejpam-3395	258	25	in	in	ADP
ejpam-3395	258	26	d1,2(|h|	d1,2(|h|	NUM
ejpam-3395	258	27	)	)	PUNCT
ejpam-3395	258	28	∩	∩	NOUN
ejpam-3395	258	29	(	(	PUNCT
ejpam-3395	258	30	lϕ[0	lϕ[0	PROPN
ejpam-3395	258	31	,	,	PUNCT
ejpam-3395	258	32	t	t	NOUN
ejpam-3395	258	33	]	]	PUNCT
ejpam-3395	258	34	)	)	PUNCT
ejpam-3395	258	35	,	,	PUNCT
ejpam-3395	258	36	for	for	ADP
ejpam-3395	258	37	every	every	DET
ejpam-3395	258	38	t	t	NOUN
ejpam-3395	258	39	∈	∈	PROPN
ejpam-3395	259	1	[	[	X
ejpam-3395	259	2	0	0	NUM
ejpam-3395	259	3	,	,	PUNCT
ejpam-3395	259	4	t	t	X
ejpam-3395	259	5	]	]	PUNCT
ejpam-3395	259	6	,	,	PUNCT
ejpam-3395	259	7	we	we	PRON
ejpam-3395	259	8	have	have	VERB
ejpam-3395	259	9	from	from	ADP
ejpam-3395	259	10	lemma	lemma	PROPN
ejpam-3395	259	11	1	1	NUM
ejpam-3395	259	12	that	that	PRON
ejpam-3395	259	13	e	e	PROPN
ejpam-3395	260	1	[	[	X
ejpam-3395	260	2	∫	∫	X
ejpam-3395	260	3	t	t	PROPN
ejpam-3395	260	4	0	0	NUM
ejpam-3395	260	5	σ̃2(s)d	σ̃2(s)d	PROPN
ejpam-3395	260	6	◦	◦	NOUN
ejpam-3395	260	7	bhs	bhs	PROPN
ejpam-3395	260	8	]	]	X
ejpam-3395	260	9	2	2	NUM
ejpam-3395	260	10	≤	≤	NUM
ejpam-3395	260	11	2ht2h−1e	2ht2h−1e	NUM
ejpam-3395	261	1	[	[	X
ejpam-3395	261	2	∫	∫	X
ejpam-3395	261	3	t	t	X
ejpam-3395	261	4	0	0	NUM
ejpam-3395	261	5	|σ̃2(s)|2ds	|σ̃2(s)|2ds	X
ejpam-3395	261	6	]	]	PUNCT
ejpam-3395	262	1	+	+	CCONJ
ejpam-3395	262	2	4te	4te	ADJ
ejpam-3395	263	1	[	[	X
ejpam-3395	263	2	∫	∫	X
ejpam-3395	263	3	t	t	PROPN
ejpam-3395	263	4	0	0	NUM
ejpam-3395	263	5	dϕ	dϕ	PROPN
ejpam-3395	263	6	s	s	PROPN
ejpam-3395	263	7	σ̃2(s	σ̃2(s	PROPN
ejpam-3395	263	8	)	)	PUNCT
ejpam-3395	263	9	]	]	SYM
ejpam-3395	263	10	2	2	NUM
ejpam-3395	263	11	ds	ds	X
ejpam-3395	263	12	.	.	PUNCT
ejpam-3395	264	1	(	(	PUNCT
ejpam-3395	264	2	50	50	NUM
ejpam-3395	264	3	)	)	PUNCT
ejpam-3395	264	4	the	the	DET
ejpam-3395	264	5	inequality	inequality	NOUN
ejpam-3395	264	6	(	(	PUNCT
ejpam-3395	264	7	50	50	NUM
ejpam-3395	264	8	)	)	PUNCT
ejpam-3395	264	9	implies	imply	VERB
ejpam-3395	264	10	that	that	PRON
ejpam-3395	264	11	e|iσ2(t)|2	e|iσ2(t)|2	VERB
ejpam-3395	264	12	≤	≤	NUM
ejpam-3395	264	13	8	8	NUM
ejpam-3395	264	14	t	t	NOUN
ejpam-3395	264	15	∫	∫	PROPN
ejpam-3395	264	16	t	t	PROPN
ejpam-3395	264	17	0	0	NUM
ejpam-3395	265	1	[	[	PUNCT
ejpam-3395	265	2	e|σ̃2(s)|2	e|σ̃2(s)|2	PROPN
ejpam-3395	265	3	+	+	CCONJ
ejpam-3395	265	4	e|dϕ	e|dϕ	PRON
ejpam-3395	265	5	s	s	NOUN
ejpam-3395	265	6	σ̃2(s)|2	σ̃2(s)|2	NOUN
ejpam-3395	265	7	]	]	PUNCT
ejpam-3395	265	8	ds	ds	PROPN
ejpam-3395	265	9	.	.	PUNCT
ejpam-3395	266	1	(	(	PUNCT
ejpam-3395	266	2	51	51	NUM
ejpam-3395	266	3	)	)	PUNCT
ejpam-3395	266	4	by	by	ADP
ejpam-3395	266	5	combining	combine	VERB
ejpam-3395	266	6	(	(	PUNCT
ejpam-3395	266	7	51	51	NUM
ejpam-3395	266	8	)	)	PUNCT
ejpam-3395	266	9	and	and	CCONJ
ejpam-3395	266	10	(	(	PUNCT
ejpam-3395	266	11	49	49	NUM
ejpam-3395	266	12	)	)	PUNCT
ejpam-3395	266	13	,	,	PUNCT
ejpam-3395	266	14	we	we	PRON
ejpam-3395	266	15	obtain	obtain	VERB
ejpam-3395	266	16	e|iµ(t)|2	e|iµ(t)|2	NOUN
ejpam-3395	266	17	+	+	CCONJ
ejpam-3395	266	18	e|iσ2(t)|2	e|iσ2(t)|2	VERB
ejpam-3395	266	19	≤	≤	NUM
ejpam-3395	266	20	8	8	NUM
ejpam-3395	266	21	t	t	NOUN
ejpam-3395	266	22	∫	∫	PROPN
ejpam-3395	266	23	t	t	NOUN
ejpam-3395	266	24	0	0	NUM
ejpam-3395	267	1	[	[	PUNCT
ejpam-3395	267	2	e|µ̃(s)|2ds+	e|µ̃(s)|2ds+	PROPN
ejpam-3395	267	3	e|σ̃2(s)|2	e|σ̃2(s)|2	NOUN
ejpam-3395	267	4	+	+	CCONJ
ejpam-3395	267	5	e|dϕ	e|dϕ	PRON
ejpam-3395	267	6	s	s	NOUN
ejpam-3395	267	7	σ̃2(s)|2	σ̃2(s)|2	NOUN
ejpam-3395	267	8	]	]	PUNCT
ejpam-3395	267	9	ds	ds	PROPN
ejpam-3395	267	10	.	.	PUNCT
ejpam-3395	267	11	(	(	PUNCT
ejpam-3395	267	12	52	52	NUM
ejpam-3395	267	13	)	)	PUNCT
ejpam-3395	267	14	using	use	VERB
ejpam-3395	267	15	the	the	DET
ejpam-3395	267	16	inequality	inequality	NOUN
ejpam-3395	267	17	(	(	PUNCT
ejpam-3395	267	18	17	17	NUM
ejpam-3395	267	19	)	)	PUNCT
ejpam-3395	267	20	of	of	ADP
ejpam-3395	267	21	the	the	DET
ejpam-3395	267	22	assumption	assumption	NOUN
ejpam-3395	267	23	(	(	PUNCT
ejpam-3395	267	24	a.2	a.2	SYM
ejpam-3395	267	25	)	)	PUNCT
ejpam-3395	267	26	,	,	PUNCT
ejpam-3395	267	27	we	we	PRON
ejpam-3395	267	28	obtain	obtain	VERB
ejpam-3395	267	29	e|iµ(t)|2	e|iµ(t)|2	NOUN
ejpam-3395	267	30	+	+	CCONJ
ejpam-3395	267	31	e	e	X
ejpam-3395	267	32	|iσ2	|iσ2	PROPN
ejpam-3395	267	33	(	(	PUNCT
ejpam-3395	267	34	t)|2	t)|2	PROPN
ejpam-3395	267	35	≤	≤	NUM
ejpam-3395	267	36	8	8	NUM
ejpam-3395	267	37	t	t	NOUN
ejpam-3395	267	38	∫	∫	NOUN
ejpam-3395	267	39	t	t	PROPN
ejpam-3395	267	40	0	0	NUM
ejpam-3395	267	41	%	%	NOUN
ejpam-3395	267	42	(	(	PUNCT
ejpam-3395	267	43	e|y	e|y	PROPN
ejpam-3395	267	44	(	(	PUNCT
ejpam-3395	267	45	t)−	t)−	PROPN
ejpam-3395	267	46	z(t)|2	z(t)|2	PROPN
ejpam-3395	267	47	)	)	PUNCT
ejpam-3395	267	48	ds	ds	PROPN
ejpam-3395	267	49	.	.	PUNCT
ejpam-3395	267	50	(	(	PUNCT
ejpam-3395	267	51	53	53	NUM
ejpam-3395	267	52	)	)	PUNCT
ejpam-3395	267	53	d.	d.	PROPN
ejpam-3395	267	54	a.	a.	PROPN
ejpam-3395	267	55	n.	n.	PROPN
ejpam-3395	267	56	njamen	njamen	PROPN
ejpam-3395	267	57	,	,	PUNCT
ejpam-3395	267	58	e.	e.	PROPN
ejpam-3395	267	59	djeutcha	djeutcha	PROPN
ejpam-3395	267	60	/	/	SYM
ejpam-3395	267	61	eur	eur	PROPN
ejpam-3395	267	62	.	.	PUNCT
ejpam-3395	268	1	j.	j.	PROPN
ejpam-3395	268	2	pure	pure	PROPN
ejpam-3395	268	3	appl	appl	PROPN
ejpam-3395	268	4	.	.	PROPN
ejpam-3395	268	5	math	math	PROPN
ejpam-3395	268	6	,	,	PUNCT
ejpam-3395	268	7	12	12	NUM
ejpam-3395	268	8	(	(	PUNCT
ejpam-3395	268	9	2	2	NUM
ejpam-3395	268	10	)	)	PUNCT
ejpam-3395	268	11	(	(	PUNCT
ejpam-3395	268	12	2019	2019	NUM
ejpam-3395	268	13	)	)	PUNCT
ejpam-3395	268	14	,	,	PUNCT
ejpam-3395	268	15	448	448	NUM
ejpam-3395	268	16	-	-	SYM
ejpam-3395	268	17	468	468	NUM
ejpam-3395	268	18	458	458	NUM
ejpam-3395	268	19	the	the	DET
ejpam-3395	268	20	inequality	inequality	NOUN
ejpam-3395	268	21	(	(	PUNCT
ejpam-3395	268	22	46	46	NUM
ejpam-3395	268	23	)	)	PUNCT
ejpam-3395	268	24	and	and	CCONJ
ejpam-3395	268	25	(	(	PUNCT
ejpam-3395	268	26	53	53	NUM
ejpam-3395	268	27	)	)	PUNCT
ejpam-3395	268	28	give	give	VERB
ejpam-3395	268	29	e|iσ1	e|iσ1	NOUN
ejpam-3395	268	30	(	(	PUNCT
ejpam-3395	268	31	t)|2	t)|2	NOUN
ejpam-3395	268	32	+	+	CCONJ
ejpam-3395	268	33	e|iµ(t)|2	e|iµ(t)|2	PROPN
ejpam-3395	268	34	+	+	CCONJ
ejpam-3395	268	35	e|iσ2	e|iσ2	PROPN
ejpam-3395	268	36	(	(	PUNCT
ejpam-3395	268	37	t)|2	t)|2	PROPN
ejpam-3395	268	38	≤	≤	NOUN
ejpam-3395	268	39	(	(	PUNCT
ejpam-3395	268	40	1	1	NUM
ejpam-3395	268	41	+	+	SYM
ejpam-3395	268	42	8	8	NUM
ejpam-3395	268	43	t	t	NOUN
ejpam-3395	268	44	)	)	PUNCT
ejpam-3395	268	45	∫	∫	PROPN
ejpam-3395	269	1	t	t	PROPN
ejpam-3395	269	2	0	0	NUM
ejpam-3395	269	3	%	%	NOUN
ejpam-3395	269	4	(	(	PUNCT
ejpam-3395	269	5	e	e	NOUN
ejpam-3395	269	6	|y	|y	NOUN
ejpam-3395	269	7	(	(	PUNCT
ejpam-3395	269	8	s)−	s)−	PROPN
ejpam-3395	269	9	z(s)|2)ds	z(s)|2)ds	PROPN
ejpam-3395	269	10	.	.	PUNCT
ejpam-3395	270	1	(	(	PUNCT
ejpam-3395	270	2	54	54	NUM
ejpam-3395	270	3	)	)	PUNCT
ejpam-3395	270	4	the	the	DET
ejpam-3395	270	5	inequality	inequality	NOUN
ejpam-3395	270	6	(	(	PUNCT
ejpam-3395	270	7	39	39	NUM
ejpam-3395	270	8	)	)	PUNCT
ejpam-3395	270	9	give	give	VERB
ejpam-3395	270	10	e|y	e|y	NOUN
ejpam-3395	270	11	(	(	PUNCT
ejpam-3395	270	12	t)−	t)−	PROPN
ejpam-3395	270	13	z(t)|2	z(t)|2	PROPN
ejpam-3395	270	14	≤	≤	X
ejpam-3395	270	15	(	(	PUNCT
ejpam-3395	270	16	3	3	NUM
ejpam-3395	270	17	+	+	SYM
ejpam-3395	270	18	24	24	NUM
ejpam-3395	270	19	t	t	NOUN
ejpam-3395	270	20	)	)	PUNCT
ejpam-3395	271	1	∫	∫	PROPN
ejpam-3395	271	2	t	t	PROPN
ejpam-3395	271	3	0	0	NUM
ejpam-3395	272	1	%	%	NOUN
ejpam-3395	272	2	(	(	PUNCT
ejpam-3395	272	3	e	e	NOUN
ejpam-3395	272	4	|y	|y	NOUN
ejpam-3395	272	5	(	(	PUNCT
ejpam-3395	272	6	s)−	s)−	PROPN
ejpam-3395	272	7	z(s)|2)ds	z(s)|2)ds	PROPN
ejpam-3395	272	8	.	.	PUNCT
ejpam-3395	273	1	(	(	PUNCT
ejpam-3395	273	2	55	55	NUM
ejpam-3395	273	3	)	)	PUNCT
ejpam-3395	273	4	noticing	notice	VERB
ejpam-3395	273	5	that	that	PRON
ejpam-3395	273	6	from	from	ADP
ejpam-3395	273	7	(	(	PUNCT
ejpam-3395	273	8	16	16	NUM
ejpam-3395	273	9	)	)	PUNCT
ejpam-3395	273	10	,	,	PUNCT
ejpam-3395	273	11	the	the	DET
ejpam-3395	273	12	inequality	inequality	NOUN
ejpam-3395	273	13	(	(	PUNCT
ejpam-3395	273	14	55	55	NUM
ejpam-3395	273	15	)	)	PUNCT
ejpam-3395	273	16	implies	imply	VERB
ejpam-3395	273	17	that	that	SCONJ
ejpam-3395	273	18	e|y	e|y	PROPN
ejpam-3395	273	19	(	(	PUNCT
ejpam-3395	273	20	t	t	NOUN
ejpam-3395	273	21	)	)	PUNCT
ejpam-3395	273	22	−	−	PROPN
ejpam-3395	273	23	z(t)|2	z(t)|2	PROPN
ejpam-3395	273	24	=	=	SYM
ejpam-3395	273	25	0,∀t	0,∀t	X
ejpam-3395	273	26	∈	∈	PROPN
ejpam-3395	274	1	[	[	X
ejpam-3395	274	2	0	0	NUM
ejpam-3395	274	3	,	,	PUNCT
ejpam-3395	274	4	t	t	X
ejpam-3395	274	5	]	]	PUNCT
ejpam-3395	274	6	.	.	PUNCT
ejpam-3395	275	1	since	since	SCONJ
ejpam-3395	275	2	t	t	PROPN
ejpam-3395	275	3	>	>	X
ejpam-3395	275	4	0	0	PUNCT
ejpam-3395	275	5	is	be	AUX
ejpam-3395	275	6	an	an	DET
ejpam-3395	275	7	arbitrary	arbitrary	ADJ
ejpam-3395	275	8	,	,	PUNCT
ejpam-3395	275	9	y	y	PROPN
ejpam-3395	275	10	(	(	PUNCT
ejpam-3395	275	11	t	t	PROPN
ejpam-3395	275	12	)	)	PUNCT
ejpam-3395	275	13	≡	≡	PROPN
ejpam-3395	275	14	z(t	z(t	PROPN
ejpam-3395	275	15	)	)	PUNCT
ejpam-3395	275	16	,	,	PUNCT
ejpam-3395	275	17	∀t	∀t	PROPN
ejpam-3395	275	18	∈	∈	PROPN
ejpam-3395	276	1	[	[	X
ejpam-3395	276	2	0	0	NUM
ejpam-3395	276	3	,	,	PUNCT
ejpam-3395	276	4	t	t	X
ejpam-3395	276	5	]	]	PUNCT
ejpam-3395	276	6	.	.	PUNCT
ejpam-3395	277	1	thus	thus	ADV
ejpam-3395	277	2	the	the	DET
ejpam-3395	277	3	path	path	NOUN
ejpam-3395	277	4	-	-	PUNCT
ejpam-3395	277	5	wise	wise	ADJ
ejpam-3395	277	6	uniqueness	uniqueness	NOUN
ejpam-3395	277	7	holds	hold	VERB
ejpam-3395	277	8	for	for	ADP
ejpam-3395	277	9	(	(	PUNCT
ejpam-3395	277	10	3	3	NUM
ejpam-3395	277	11	)	)	PUNCT
ejpam-3395	277	12	.	.	PUNCT
ejpam-3395	278	1	to	to	PART
ejpam-3395	278	2	prove	prove	VERB
ejpam-3395	278	3	the	the	DET
ejpam-3395	278	4	existence	existence	NOUN
ejpam-3395	278	5	of	of	ADP
ejpam-3395	278	6	theorem	theorem	NOUN
ejpam-3395	278	7	1	1	NUM
ejpam-3395	278	8	,	,	PUNCT
ejpam-3395	278	9	we	we	PRON
ejpam-3395	278	10	show	show	VERB
ejpam-3395	278	11	that	that	SCONJ
ejpam-3395	278	12	under	under	ADP
ejpam-3395	278	13	the	the	DET
ejpam-3395	278	14	non	non	ADJ
ejpam-3395	278	15	-	-	ADJ
ejpam-3395	278	16	lipschitz	lipschitz	ADJ
ejpam-3395	278	17	condition	condition	NOUN
ejpam-3395	278	18	,	,	PUNCT
ejpam-3395	278	19	lim	lim	PROPN
ejpam-3395	278	20	n	n	CCONJ
ejpam-3395	278	21	,	,	PUNCT
ejpam-3395	278	22	i→∞	i→∞	NUM
ejpam-3395	278	23	sup	sup	NOUN
ejpam-3395	278	24	0≤t≤t	0≤t≤t	NUM
ejpam-3395	278	25	e|xp(t)−xi(t)|2	e|xp(t)−xi(t)|2	PROPN
ejpam-3395	278	26	=	=	SYM
ejpam-3395	278	27	0	0	NUM
ejpam-3395	278	28	.	.	PUNCT
ejpam-3395	279	1	(	(	PUNCT
ejpam-3395	279	2	56	56	NUM
ejpam-3395	279	3	)	)	PUNCT
ejpam-3395	279	4	we	we	PRON
ejpam-3395	279	5	call	call	VERB
ejpam-3395	279	6	{	{	PUNCT
ejpam-3395	279	7	xp(·)}p≥1	xp(·)}p≥1	NOUN
ejpam-3395	279	8	a	a	DET
ejpam-3395	279	9	cauchy	cauchy	ADJ
ejpam-3395	279	10	sequence	sequence	NOUN
ejpam-3395	279	11	which	which	PRON
ejpam-3395	279	12	x	x	X
ejpam-3395	279	13	(	(	PUNCT
ejpam-3395	279	14	·	·	PUNCT
ejpam-3395	279	15	)	)	PUNCT
ejpam-3395	279	16	is	be	AUX
ejpam-3395	279	17	its	its	PRON
ejpam-3395	279	18	limit	limit	NOUN
ejpam-3395	279	19	.	.	PUNCT
ejpam-3395	280	1	by	by	ADP
ejpam-3395	280	2	letting	let	VERB
ejpam-3395	280	3	p	p	PRON
ejpam-3395	280	4	→	→	SYM
ejpam-3395	280	5	∞	∞	NUM
ejpam-3395	280	6	in	in	ADP
ejpam-3395	280	7	(	(	PUNCT
ejpam-3395	280	8	34	34	NUM
ejpam-3395	280	9	)	)	PUNCT
ejpam-3395	280	10	,	,	PUNCT
ejpam-3395	280	11	we	we	PRON
ejpam-3395	280	12	deduce	deduce	VERB
ejpam-3395	280	13	that	that	SCONJ
ejpam-3395	280	14	the	the	DET
ejpam-3395	280	15	solution	solution	NOUN
ejpam-3395	280	16	to	to	ADP
ejpam-3395	280	17	(	(	PUNCT
ejpam-3395	280	18	1	1	X
ejpam-3395	280	19	)	)	PUNCT
ejpam-3395	280	20	exist	exist	VERB
ejpam-3395	280	21	.	.	PUNCT
ejpam-3395	281	1	we	we	PRON
ejpam-3395	281	2	fix	fix	VERB
ejpam-3395	281	3	p	p	NOUN
ejpam-3395	281	4	≥	≥	NUM
ejpam-3395	281	5	1	1	NUM
ejpam-3395	281	6	arbitrary	arbitrary	ADJ
ejpam-3395	281	7	and	and	CCONJ
ejpam-3395	281	8	define	define	VERB
ejpam-3395	281	9	two	two	NUM
ejpam-3395	281	10	sequences	sequence	NOUN
ejpam-3395	281	11	of	of	ADP
ejpam-3395	281	12	functions	function	NOUN
ejpam-3395	281	13	{	{	PUNCT
ejpam-3395	281	14	χn(t)}n≥1	χn(t)}n≥1	NOUN
ejpam-3395	281	15	and	and	CCONJ
ejpam-3395	281	16	{	{	PUNCT
ejpam-3395	281	17	χ̃n	χ̃n	PROPN
ejpam-3395	281	18	,	,	PUNCT
ejpam-3395	281	19	p(t)}n≥1	p(t)}n≥1	NOUN
ejpam-3395	281	20	where	where	PUNCT
ejpam-3395	281	21	χ1(t	χ1(t	PROPN
ejpam-3395	281	22	)	)	PUNCT
ejpam-3395	282	1	=	=	SYM
ejpam-3395	282	2	ct	ct	PROPN
ejpam-3395	282	3	χn+1(t	χn+1(t	PROPN
ejpam-3395	282	4	)	)	PUNCT
ejpam-3395	283	1	=	=	SYM
ejpam-3395	284	1	∫	∫	PROPN
ejpam-3395	284	2	t	t	NOUN
ejpam-3395	284	3	0	0	NUM
ejpam-3395	285	1	%	%	NOUN
ejpam-3395	285	2	1(χn(s))ds	1(χn(s))ds	NUM
ejpam-3395	285	3	χ̃n	χ̃n	NOUN
ejpam-3395	285	4	,	,	PUNCT
ejpam-3395	285	5	p(t	p(t	NOUN
ejpam-3395	285	6	)	)	PUNCT
ejpam-3395	285	7	=	=	SYM
ejpam-3395	286	1	sup	sup	NOUN
ejpam-3395	286	2	0≤t≤t	0≤t≤t	NUM
ejpam-3395	286	3	e|xp(t)−xi(t)|2	e|xp(t)−xi(t)|2	PROPN
ejpam-3395	286	4	.	.	PUNCT
ejpam-3395	287	1	(	(	PUNCT
ejpam-3395	287	2	57	57	NUM
ejpam-3395	287	3	)	)	PUNCT
ejpam-3395	287	4	by	by	ADP
ejpam-3395	287	5	lemma	lemma	PROPN
ejpam-3395	287	6	2	2	NUM
ejpam-3395	287	7	,	,	PUNCT
ejpam-3395	287	8	we	we	PRON
ejpam-3395	287	9	observe	observe	VERB
ejpam-3395	287	10	that	that	SCONJ
ejpam-3395	287	11	(	(	PUNCT
ejpam-3395	287	12	χn(t	χn(t	NUM
ejpam-3395	287	13	)	)	PUNCT
ejpam-3395	287	14	)	)	PUNCT
ejpam-3395	288	1	decreases	decrease	VERB
ejpam-3395	288	2	when	when	SCONJ
ejpam-3395	288	3	n	n	X
ejpam-3395	288	4	→	→	SYM
ejpam-3395	288	5	∞	∞	NUM
ejpam-3395	288	6	and	and	CCONJ
ejpam-3395	288	7	is	be	AUX
ejpam-3395	288	8	nonnegative	nonnegative	ADJ
ejpam-3395	288	9	function	function	NOUN
ejpam-3395	288	10	on	on	ADP
ejpam-3395	288	11	t	t	PROPN
ejpam-3395	288	12	∈	∈	PROPN
ejpam-3395	289	1	[	[	X
ejpam-3395	289	2	0	0	NUM
ejpam-3395	289	3	,	,	PUNCT
ejpam-3395	289	4	t	t	X
ejpam-3395	289	5	]	]	PUNCT
ejpam-3395	289	6	,	,	PUNCT
ejpam-3395	289	7	therefore	therefore	ADV
ejpam-3395	289	8	,	,	PUNCT
ejpam-3395	289	9	we	we	PRON
ejpam-3395	289	10	define	define	VERB
ejpam-3395	289	11	χ(t	χ(t	NOUN
ejpam-3395	289	12	)	)	PUNCT
ejpam-3395	289	13	as	as	ADP
ejpam-3395	289	14	limit	limit	NOUN
ejpam-3395	289	15	of	of	ADP
ejpam-3395	289	16	(	(	PUNCT
ejpam-3395	289	17	χn(t	χn(t	ADJ
ejpam-3395	289	18	)	)	PUNCT
ejpam-3395	289	19	)	)	PUNCT
ejpam-3395	289	20	,	,	PUNCT
ejpam-3395	289	21	we	we	PRON
ejpam-3395	289	22	have	have	VERB
ejpam-3395	289	23	χ(0	χ(0	NOUN
ejpam-3395	289	24	)	)	PUNCT
ejpam-3395	289	25	=	=	SYM
ejpam-3395	289	26	0	0	NUM
ejpam-3395	289	27	and	and	CCONJ
ejpam-3395	289	28	χ(t	χ(t	NOUN
ejpam-3395	289	29	)	)	PUNCT
ejpam-3395	289	30	is	be	AUX
ejpam-3395	289	31	a	a	DET
ejpam-3395	289	32	continuous	continuous	ADJ
ejpam-3395	289	33	function	function	NOUN
ejpam-3395	289	34	on	on	ADP
ejpam-3395	289	35	t	t	PROPN
ejpam-3395	289	36	∈	∈	PROPN
ejpam-3395	290	1	[	[	X
ejpam-3395	290	2	0	0	NUM
ejpam-3395	290	3	,	,	PUNCT
ejpam-3395	290	4	t	t	X
ejpam-3395	290	5	]	]	PUNCT
ejpam-3395	290	6	.	.	PUNCT
ejpam-3395	291	1	or	or	CCONJ
ejpam-3395	291	2	χ(t	χ(t	NOUN
ejpam-3395	291	3	)	)	PUNCT
ejpam-3395	292	1	=	=	SYM
ejpam-3395	292	2	lim	lim	PROPN
ejpam-3395	292	3	n→∞	n→∞	NUM
ejpam-3395	292	4	χn(t	χn(t	PUNCT
ejpam-3395	292	5	)	)	PUNCT
ejpam-3395	292	6	,	,	PUNCT
ejpam-3395	292	7	we	we	PRON
ejpam-3395	292	8	have	have	VERB
ejpam-3395	292	9	lim	lim	PROPN
ejpam-3395	292	10	n→∞	n→∞	X
ejpam-3395	292	11	χn+1(t	χn+1(t	PROPN
ejpam-3395	292	12	)	)	PUNCT
ejpam-3395	293	1	=	=	PROPN
ejpam-3395	293	2	lim	lim	PROPN
ejpam-3395	293	3	n→∞	n→∞	NUM
ejpam-3395	294	1	∫	∫	PROPN
ejpam-3395	294	2	t	t	PROPN
ejpam-3395	294	3	0	0	NUM
ejpam-3395	295	1	%	%	NOUN
ejpam-3395	295	2	1(χn(s))ds	1(χn(s))ds	NUM
ejpam-3395	295	3	=	=	SYM
ejpam-3395	295	4	∫	∫	PROPN
ejpam-3395	295	5	t	t	NOUN
ejpam-3395	295	6	0	0	NUM
ejpam-3395	295	7	%	%	NOUN
ejpam-3395	295	8	1(χ(s))ds	1(χ(s))ds	NUM
ejpam-3395	295	9	.	.	PUNCT
ejpam-3395	296	1	(	(	PUNCT
ejpam-3395	296	2	58	58	NUM
ejpam-3395	296	3	)	)	PUNCT
ejpam-3395	296	4	since	since	SCONJ
ejpam-3395	296	5	χ(0	χ(0	NOUN
ejpam-3395	296	6	)	)	PUNCT
ejpam-3395	296	7	=	=	SYM
ejpam-3395	296	8	0	0	NUM
ejpam-3395	296	9	and	and	CCONJ
ejpam-3395	296	10	∫	∫	PROPN
ejpam-3395	296	11	0	0	NUM
ejpam-3395	297	1	+	+	NUM
ejpam-3395	297	2	du	du	PROPN
ejpam-3395	297	3	%	%	NOUN
ejpam-3395	297	4	(	(	PUNCT
ejpam-3395	297	5	u	u	NOUN
ejpam-3395	297	6	)	)	PUNCT
ejpam-3395	297	7	=	=	PUNCT
ejpam-3395	298	1	+	+	NUM
ejpam-3395	298	2	∞	∞	PROPN
ejpam-3395	298	3	,	,	PUNCT
ejpam-3395	298	4	we	we	PRON
ejpam-3395	298	5	say	say	VERB
ejpam-3395	298	6	that	that	SCONJ
ejpam-3395	298	7	(	(	PUNCT
ejpam-3395	298	8	58	58	NUM
ejpam-3395	298	9	)	)	PUNCT
ejpam-3395	298	10	implies	imply	VERB
ejpam-3395	298	11	χ(t	χ(t	NOUN
ejpam-3395	298	12	)	)	PUNCT
ejpam-3395	298	13	=	=	SYM
ejpam-3395	299	1	0	0	NUM
ejpam-3395	299	2	,	,	PUNCT
ejpam-3395	299	3	therefore	therefore	ADV
ejpam-3395	299	4	we	we	PRON
ejpam-3395	299	5	get	get	VERB
ejpam-3395	299	6	from	from	ADP
ejpam-3395	299	7	the	the	DET
ejpam-3395	299	8	inequality	inequality	NOUN
ejpam-3395	299	9	(	(	PUNCT
ejpam-3395	299	10	19	19	NUM
ejpam-3395	299	11	)	)	PUNCT
ejpam-3395	299	12	0	0	NUM
ejpam-3395	300	1	≤	≤	NOUN
ejpam-3395	300	2	lim	lim	PROPN
ejpam-3395	300	3	n	n	CCONJ
ejpam-3395	300	4	,	,	PUNCT
ejpam-3395	300	5	p→∞	p→∞	NOUN
ejpam-3395	300	6	χn+1(t	χn+1(t	PROPN
ejpam-3395	300	7	)	)	PUNCT
ejpam-3395	301	1	=	=	PROPN
ejpam-3395	301	2	lim	lim	NOUN
ejpam-3395	301	3	n→∞	n→∞	NUM
ejpam-3395	301	4	sup	sup	NOUN
ejpam-3395	301	5	0≤t≤t	0≤t≤t	NUM
ejpam-3395	301	6	e|xp(t)−xi(t)|2	e|xp(t)−xi(t)|2	PROPN
ejpam-3395	301	7	=	=	SYM
ejpam-3395	301	8	lim	lim	PROPN
ejpam-3395	301	9	n	n	CCONJ
ejpam-3395	301	10	,	,	PUNCT
ejpam-3395	301	11	p→∞	p→∞	ADJ
ejpam-3395	301	12	χ̃n	χ̃n	NOUN
ejpam-3395	301	13	,	,	PUNCT
ejpam-3395	301	14	p(t	p(t	NOUN
ejpam-3395	301	15	)	)	PUNCT
ejpam-3395	301	16	≤	≤	PROPN
ejpam-3395	301	17	lim	lim	PROPN
ejpam-3395	301	18	n→∞	n→∞	X
ejpam-3395	301	19	χ̃n(t	χ̃n(t	ADP
ejpam-3395	301	20	)	)	PUNCT
ejpam-3395	301	21	=	=	PUNCT
ejpam-3395	301	22	0	0	NUM
ejpam-3395	301	23	,	,	PUNCT
ejpam-3395	301	24	(	(	PUNCT
ejpam-3395	301	25	59	59	NUM
ejpam-3395	301	26	)	)	PUNCT
ejpam-3395	301	27	namely	namely	ADV
ejpam-3395	301	28	,	,	PUNCT
ejpam-3395	301	29	lim	lim	PROPN
ejpam-3395	301	30	n	n	CCONJ
ejpam-3395	301	31	,	,	PUNCT
ejpam-3395	301	32	i→∞	i→∞	NUM
ejpam-3395	301	33	sup	sup	NOUN
ejpam-3395	301	34	0≤t≤t	0≤t≤t	NUM
ejpam-3395	301	35	e|xn(t)−xi(t)|2	e|xn(t)−xi(t)|2	PROPN
ejpam-3395	301	36	=	=	SYM
ejpam-3395	301	37	0	0	X
ejpam-3395	301	38	.	.	PUNCT
ejpam-3395	301	39	remark	remark	PROPN
ejpam-3395	301	40	1	1	NUM
ejpam-3395	301	41	.	.	PUNCT
ejpam-3395	302	1	the	the	DET
ejpam-3395	302	2	asset	asset	NOUN
ejpam-3395	302	3	price	price	NOUN
ejpam-3395	302	4	st	st	PROPN
ejpam-3395	302	5	satisfy	satisfy	PROPN
ejpam-3395	302	6	dst	dst	PROPN
ejpam-3395	302	7	=	=	PUNCT
ejpam-3395	302	8	stµdt+	stµdt+	NOUN
ejpam-3395	302	9	a	a	DET
ejpam-3395	302	10	√	√	NOUN
ejpam-3395	302	11	vtstdbt,1	vtstdbt,1	NOUN
ejpam-3395	302	12	+	+	CCONJ
ejpam-3395	302	13	b	b	NOUN
ejpam-3395	302	14	√	√	NOUN
ejpam-3395	302	15	vtstdb	vtstdb	NOUN
ejpam-3395	302	16	h	h	PROPN
ejpam-3395	302	17	1,t	1,t	NOUN
ejpam-3395	302	18	.	.	PUNCT
ejpam-3395	303	1	(	(	PUNCT
ejpam-3395	303	2	60	60	NUM
ejpam-3395	303	3	)	)	PUNCT
ejpam-3395	303	4	with	with	ADP
ejpam-3395	303	5	respect	respect	NOUN
ejpam-3395	303	6	to	to	ADP
ejpam-3395	303	7	the	the	DET
ejpam-3395	303	8	above	above	ADJ
ejpam-3395	303	9	equation	equation	NOUN
ejpam-3395	303	10	defined	define	VERB
ejpam-3395	303	11	by	by	ADP
ejpam-3395	303	12	(	(	PUNCT
ejpam-3395	303	13	60	60	NUM
ejpam-3395	303	14	)	)	PUNCT
ejpam-3395	303	15	,	,	PUNCT
ejpam-3395	303	16	we	we	PRON
ejpam-3395	303	17	can	can	AUX
ejpam-3395	303	18	say	say	VERB
ejpam-3395	303	19	that	that	SCONJ
ejpam-3395	303	20	the	the	DET
ejpam-3395	303	21	stock	stock	NOUN
ejpam-3395	303	22	price	price	NOUN
ejpam-3395	303	23	equation	equation	NOUN
ejpam-3395	303	24	of	of	ADP
ejpam-3395	303	25	the	the	DET
ejpam-3395	303	26	mfh	mfh	PROPN
ejpam-3395	303	27	model	model	NOUN
ejpam-3395	303	28	has	have	VERB
ejpam-3395	303	29	a	a	DET
ejpam-3395	303	30	unique	unique	ADJ
ejpam-3395	303	31	solution	solution	NOUN
ejpam-3395	303	32	.	.	PUNCT
ejpam-3395	304	1	d.	d.	PROPN
ejpam-3395	304	2	a.	a.	PROPN
ejpam-3395	304	3	n.	n.	PROPN
ejpam-3395	304	4	njamen	njamen	PROPN
ejpam-3395	304	5	,	,	PUNCT
ejpam-3395	304	6	e.	e.	PROPN
ejpam-3395	304	7	djeutcha	djeutcha	PROPN
ejpam-3395	304	8	/	/	SYM
ejpam-3395	304	9	eur	eur	PROPN
ejpam-3395	304	10	.	.	PUNCT
ejpam-3395	305	1	j.	j.	PROPN
ejpam-3395	305	2	pure	pure	PROPN
ejpam-3395	305	3	appl	appl	PROPN
ejpam-3395	305	4	.	.	PROPN
ejpam-3395	305	5	math	math	PROPN
ejpam-3395	305	6	,	,	PUNCT
ejpam-3395	305	7	12	12	NUM
ejpam-3395	305	8	(	(	PUNCT
ejpam-3395	305	9	2	2	NUM
ejpam-3395	305	10	)	)	PUNCT
ejpam-3395	305	11	(	(	PUNCT
ejpam-3395	305	12	2019	2019	NUM
ejpam-3395	305	13	)	)	PUNCT
ejpam-3395	305	14	,	,	PUNCT
ejpam-3395	305	15	448	448	NUM
ejpam-3395	305	16	-	-	SYM
ejpam-3395	305	17	468	468	NUM
ejpam-3395	305	18	459	459	NUM
ejpam-3395	305	19	let	let	VERB
ejpam-3395	305	20	v0(t	v0(t	NUM
ejpam-3395	305	21	)	)	PUNCT
ejpam-3395	305	22	=	=	NOUN
ejpam-3395	305	23	ζ	ζ	NOUN
ejpam-3395	305	24	be	be	AUX
ejpam-3395	305	25	a	a	DET
ejpam-3395	305	26	random	random	ADJ
ejpam-3395	305	27	variable	variable	NOUN
ejpam-3395	305	28	with	with	ADP
ejpam-3395	305	29	e|ζ|2	e|ζ|2	NOUN
ejpam-3395	305	30	<	<	X
ejpam-3395	306	1	+	+	NOUN
ejpam-3395	306	2	∞.	∞.	PROPN
ejpam-3395	306	3	we	we	PRON
ejpam-3395	306	4	also	also	ADV
ejpam-3395	306	5	construct	construct	VERB
ejpam-3395	306	6	an	an	DET
ejpam-3395	306	7	approximative	approximative	ADJ
ejpam-3395	306	8	sequence	sequence	NOUN
ejpam-3395	306	9	of	of	ADP
ejpam-3395	306	10	stochastic	stochastic	ADJ
ejpam-3395	306	11	process	process	NOUN
ejpam-3395	306	12	{	{	PUNCT
ejpam-3395	306	13	v	v	NOUN
ejpam-3395	306	14	nt	not	PART
ejpam-3395	306	15	}	}	PUNCT
ejpam-3395	306	16	n≥1	n≥1	NOUN
ejpam-3395	306	17	as	as	SCONJ
ejpam-3395	306	18	follows	follow	VERB
ejpam-3395	306	19	v	v	ADP
ejpam-3395	306	20	nt	not	PART
ejpam-3395	306	21	=	=	SYM
ejpam-3395	306	22	ζ	ζ	NOUN
ejpam-3395	307	1	+	+	NUM
ejpam-3395	307	2	∫	∫	PROPN
ejpam-3395	307	3	t	t	PROPN
ejpam-3395	307	4	0	0	NUM
ejpam-3395	307	5	κ(θ	κ(θ	PROPN
ejpam-3395	307	6	−	−	PROPN
ejpam-3395	307	7	v	v	ADP
ejpam-3395	307	8	n−1s	n−1s	NOUN
ejpam-3395	307	9	)	)	PUNCT
ejpam-3395	308	1	ds+	ds+	PROPN
ejpam-3395	308	2	∫	∫	PROPN
ejpam-3395	308	3	t	t	PROPN
ejpam-3395	308	4	0	0	NUM
ejpam-3395	308	5	σa	σa	PROPN
ejpam-3395	308	6	√	√	NUM
ejpam-3395	308	7	v	v	X
ejpam-3395	308	8	n−1s	n−1s	PRON
ejpam-3395	308	9	dbs	dbs	PROPN
ejpam-3395	309	1	+	+	CCONJ
ejpam-3395	309	2	∫	∫	PROPN
ejpam-3395	309	3	t	t	NOUN
ejpam-3395	309	4	0	0	NUM
ejpam-3395	309	5	σb	σb	ADP
ejpam-3395	309	6	√	√	PROPN
ejpam-3395	309	7	v	v	ADP
ejpam-3395	309	8	n−1s	n−1s	PRON
ejpam-3395	309	9	dbhs	dbhs	ADJ
ejpam-3395	309	10	.	.	PUNCT
ejpam-3395	310	1	(	(	PUNCT
ejpam-3395	310	2	61	61	NUM
ejpam-3395	310	3	)	)	PUNCT
ejpam-3395	310	4	theorem	theorem	NOUN
ejpam-3395	310	5	2	2	NUM
ejpam-3395	310	6	.	.	PUNCT
ejpam-3395	311	1	under	under	ADP
ejpam-3395	311	2	the	the	DET
ejpam-3395	311	3	assumptions	assumption	NOUN
ejpam-3395	311	4	a.1	a.1	PUNCT
ejpam-3395	311	5	and	and	CCONJ
ejpam-3395	311	6	a.2	a.2	PUNCT
ejpam-3395	311	7	,	,	PUNCT
ejpam-3395	311	8	the	the	DET
ejpam-3395	311	9	volatility	volatility	NOUN
ejpam-3395	311	10	of	of	ADP
ejpam-3395	311	11	the	the	DET
ejpam-3395	311	12	mixed	mixed	ADJ
ejpam-3395	311	13	heston	heston	PROPN
ejpam-3395	311	14	model	model	NOUN
ejpam-3395	311	15	has	have	VERB
ejpam-3395	311	16	a	a	DET
ejpam-3395	311	17	unique	unique	ADJ
ejpam-3395	311	18	positive	positive	ADJ
ejpam-3395	311	19	solution	solution	NOUN
ejpam-3395	311	20	vt	vt	PROPN
ejpam-3395	311	21	,	,	PUNCT
ejpam-3395	311	22	where	where	SCONJ
ejpam-3395	311	23	t	t	PROPN
ejpam-3395	311	24	∈	∈	PROPN
ejpam-3395	312	1	[	[	X
ejpam-3395	312	2	0	0	NUM
ejpam-3395	312	3	,	,	PUNCT
ejpam-3395	312	4	t	t	NOUN
ejpam-3395	312	5	]	]	PUNCT
ejpam-3395	312	6	and	and	CCONJ
ejpam-3395	312	7	t	t	X
ejpam-3395	312	8	=	=	PUNCT
ejpam-3395	312	9	inf{t	inf{t	VERB
ejpam-3395	312	10	>	>	PUNCT
ejpam-3395	312	11	0|xt	0|xt	PUNCT
ejpam-3395	312	12	=	=	PUNCT
ejpam-3395	312	13	0	0	NUM
ejpam-3395	312	14	}	}	PUNCT
ejpam-3395	312	15	.	.	PUNCT
ejpam-3395	313	1	proof	proof	NOUN
ejpam-3395	313	2	.	.	PUNCT
ejpam-3395	314	1	we	we	PRON
ejpam-3395	314	2	have	have	VERB
ejpam-3395	314	3	vt	vt	NOUN
ejpam-3395	314	4	=	=	SYM
ejpam-3395	314	5	ζ	ζ	PROPN
ejpam-3395	315	1	+	+	NUM
ejpam-3395	315	2	∫	∫	PROPN
ejpam-3395	315	3	t	t	PROPN
ejpam-3395	315	4	0	0	NUM
ejpam-3395	315	5	κ(θ	κ(θ	PROPN
ejpam-3395	315	6	−	−	PROPN
ejpam-3395	316	1	vs)ds+	vs)ds+	ADJ
ejpam-3395	316	2	∫	∫	PROPN
ejpam-3395	316	3	t	t	NOUN
ejpam-3395	316	4	0	0	NUM
ejpam-3395	317	1	σ	σ	PROPN
ejpam-3395	317	2	√	√	PROPN
ejpam-3395	317	3	vsdm	vsdm	PROPN
ejpam-3395	317	4	h	h	NOUN
ejpam-3395	317	5	s	s	PART
ejpam-3395	317	6	.	.	PUNCT
ejpam-3395	318	1	(	(	PUNCT
ejpam-3395	318	2	62	62	NUM
ejpam-3395	318	3	)	)	PUNCT
ejpam-3395	318	4	suppose	suppose	VERB
ejpam-3395	318	5	that	that	SCONJ
ejpam-3395	318	6	for	for	ADP
ejpam-3395	318	7	some	some	DET
ejpam-3395	318	8	initial	initial	ADJ
ejpam-3395	318	9	value	value	NOUN
ejpam-3395	318	10	ζ	ζ	NOUN
ejpam-3395	318	11	there	there	PRON
ejpam-3395	318	12	are	be	VERB
ejpam-3395	318	13	two	two	NUM
ejpam-3395	318	14	continous	continous	ADJ
ejpam-3395	318	15	solutions	solution	NOUN
ejpam-3395	318	16	vt	vt	NOUN
ejpam-3395	318	17	and	and	CCONJ
ejpam-3395	318	18	ṽt	ṽt	ADV
ejpam-3395	318	19	satisfy	satisfy	VERB
ejpam-3395	318	20	(	(	PUNCT
ejpam-3395	318	21	62	62	NUM
ejpam-3395	318	22	)	)	PUNCT
ejpam-3395	318	23	,	,	PUNCT
ejpam-3395	318	24	then	then	ADV
ejpam-3395	318	25	the	the	DET
ejpam-3395	318	26	difference	difference	NOUN
ejpam-3395	318	27	satisfies	satisfy	VERB
ejpam-3395	318	28	vt	vt	PROPN
ejpam-3395	318	29	−	−	PROPN
ejpam-3395	319	1	ṽt	ṽt	NOUN
ejpam-3395	319	2	=	=	SYM
ejpam-3395	319	3	∫	∫	PROPN
ejpam-3395	319	4	t	t	PROPN
ejpam-3395	319	5	0	0	NUM
ejpam-3395	319	6	ψ1(s)ds+	ψ1(s)ds+	PUNCT
ejpam-3395	320	1	σa	σa	PROPN
ejpam-3395	320	2	∫	∫	PROPN
ejpam-3395	320	3	t	t	PROPN
ejpam-3395	320	4	0	0	NUM
ejpam-3395	320	5	ψ2(s)dbs	ψ2(s)dbs	PUNCT
ejpam-3395	320	6	+	+	CCONJ
ejpam-3395	320	7	σb	σb	ADP
ejpam-3395	320	8	∫	∫	PROPN
ejpam-3395	320	9	t	t	PROPN
ejpam-3395	320	10	0	0	NUM
ejpam-3395	320	11	ψ3(s)dbhs	ψ3(s)dbhs	NUM
ejpam-3395	320	12	=	=	SYM
ejpam-3395	320	13	j1(t	j1(t	PROPN
ejpam-3395	320	14	)	)	PUNCT
ejpam-3395	321	1	+	+	NUM
ejpam-3395	321	2	j2(t	j2(t	PROPN
ejpam-3395	321	3	)	)	PUNCT
ejpam-3395	322	1	+	+	CCONJ
ejpam-3395	322	2	j3(t	j3(t	PROPN
ejpam-3395	322	3	)	)	PUNCT
ejpam-3395	322	4	(	(	PUNCT
ejpam-3395	322	5	63	63	NUM
ejpam-3395	322	6	)	)	PUNCT
ejpam-3395	322	7	where	where	SCONJ
ejpam-3395	322	8			PRON
ejpam-3395	322	9	j1(t	j1(t	PROPN
ejpam-3395	322	10	)	)	PUNCT
ejpam-3395	322	11	=	=	SYM
ejpam-3395	323	1	∫	∫	PROPN
ejpam-3395	323	2	t	t	PROPN
ejpam-3395	323	3	0	0	NUM
ejpam-3395	323	4	ψ1(s)ds	ψ1(s)ds	PROPN
ejpam-3395	323	5	j2(t	j2(t	PROPN
ejpam-3395	323	6	)	)	PUNCT
ejpam-3395	323	7	=	=	PUNCT
ejpam-3395	324	1	σa	σa	PROPN
ejpam-3395	324	2	∫	∫	PROPN
ejpam-3395	324	3	t	t	PROPN
ejpam-3395	324	4	0	0	NUM
ejpam-3395	324	5	ψ2(s)dbs	ψ2(s)dbs	PUNCT
ejpam-3395	324	6	j3(t	j3(t	PROPN
ejpam-3395	324	7	)	)	PUNCT
ejpam-3395	324	8	=	=	PUNCT
ejpam-3395	325	1	σb	σb	ADP
ejpam-3395	325	2	∫	∫	PROPN
ejpam-3395	325	3	t	t	PROPN
ejpam-3395	325	4	0	0	NUM
ejpam-3395	325	5	ψ3(s)dbhs	ψ3(s)dbhs	PROPN
ejpam-3395	325	6	(	(	PUNCT
ejpam-3395	325	7	64	64	NUM
ejpam-3395	325	8	)	)	PUNCT
ejpam-3395	325	9	with	with	ADP
ejpam-3395	325	10			SYM
ejpam-3395	325	11	ψ1(t	ψ1(t	PROPN
ejpam-3395	325	12	)	)	PUNCT
ejpam-3395	325	13	=	=	SYM
ejpam-3395	325	14	−κ(vs	−κ(vs	ADJ
ejpam-3395	325	15	−	−	ADV
ejpam-3395	325	16	ṽs)ds	ṽs)ds	NOUN
ejpam-3395	325	17	ψ2(t	ψ2(t	PROPN
ejpam-3395	325	18	)	)	PUNCT
ejpam-3395	325	19	=	=	SYM
ejpam-3395	325	20	σa	σa	PROPN
ejpam-3395	325	21	(	(	PUNCT
ejpam-3395	325	22	√	√	NOUN
ejpam-3395	325	23	vs	vs	ADP
ejpam-3395	325	24	−	−	PROPN
ejpam-3395	325	25	√	√	PROPN
ejpam-3395	325	26	ṽs	ṽs	PROPN
ejpam-3395	325	27	)	)	PUNCT
ejpam-3395	325	28	ψ3(t	ψ3(t	PROPN
ejpam-3395	325	29	)	)	PUNCT
ejpam-3395	325	30	=	=	SYM
ejpam-3395	325	31	σb	σb	ADP
ejpam-3395	325	32	(	(	PUNCT
ejpam-3395	325	33	√	√	PROPN
ejpam-3395	325	34	vs	vs	ADP
ejpam-3395	325	35	−	−	PROPN
ejpam-3395	325	36	√	√	PROPN
ejpam-3395	325	37	ṽs	ṽs	PROPN
ejpam-3395	325	38	)	)	PUNCT
ejpam-3395	325	39	.	.	PUNCT
ejpam-3395	326	1	(	(	PUNCT
ejpam-3395	326	2	65	65	NUM
ejpam-3395	326	3	)	)	PUNCT
ejpam-3395	326	4	we	we	PRON
ejpam-3395	326	5	observe	observe	VERB
ejpam-3395	326	6	that	that	SCONJ
ejpam-3395	326	7	e|vt	e|vt	NOUN
ejpam-3395	327	1	−	−	PROPN
ejpam-3395	327	2	ṽt|2	ṽt|2	NOUN
ejpam-3395	327	3	≤	≤	NUM
ejpam-3395	327	4	3e|j1(t)|2	3e|j1(t)|2	PROPN
ejpam-3395	328	1	+	+	CCONJ
ejpam-3395	328	2	3e|j2(t)|2	3e|j2(t)|2	NUM
ejpam-3395	328	3	+	+	CCONJ
ejpam-3395	328	4	3e|j3(t)|2	3e|j3(t)|2	PROPN
ejpam-3395	328	5	.	.	PUNCT
ejpam-3395	329	1	(	(	PUNCT
ejpam-3395	329	2	66	66	NUM
ejpam-3395	329	3	)	)	PUNCT
ejpam-3395	329	4	now	now	ADV
ejpam-3395	329	5	we	we	PRON
ejpam-3395	329	6	have	have	VERB
ejpam-3395	329	7	to	to	PART
ejpam-3395	329	8	estimated	estimate	VERB
ejpam-3395	329	9	e|ji(t)|2	e|ji(t)|2	NOUN
ejpam-3395	329	10	,	,	PUNCT
ejpam-3395	329	11	i	i	PRON
ejpam-3395	329	12	=	=	NOUN
ejpam-3395	329	13	1	1	NUM
ejpam-3395	329	14	,	,	PUNCT
ejpam-3395	329	15	2	2	NUM
ejpam-3395	329	16	,	,	PUNCT
ejpam-3395	329	17	3	3	NUM
ejpam-3395	329	18	.	.	PUNCT
ejpam-3395	330	1	by	by	ADP
ejpam-3395	330	2	letting	let	VERB
ejpam-3395	330	3	ε	ε	PROPN
ejpam-3395	330	4	=	=	SYM
ejpam-3395	330	5	min	min	PROPN
ejpam-3395	330	6	{	{	PUNCT
ejpam-3395	330	7	√	√	PROPN
ejpam-3395	330	8	vt	vt	PROPN
ejpam-3395	330	9	)	)	PUNCT
ejpam-3395	330	10	+	+	CCONJ
ejpam-3395	330	11	√	√	PRON
ejpam-3395	330	12	ṽt	ṽt	INTJ
ejpam-3395	330	13	>	>	X
ejpam-3395	330	14	0|t	0|t	X
ejpam-3395	331	1	∈	∈	PROPN
ejpam-3395	332	1	[	[	X
ejpam-3395	332	2	0	0	NUM
ejpam-3395	332	3	,	,	PUNCT
ejpam-3395	332	4	t	t	X
ejpam-3395	332	5	]	]	PUNCT
ejpam-3395	332	6	}	}	PUNCT
ejpam-3395	332	7	,	,	PUNCT
ejpam-3395	332	8	(	(	PUNCT
ejpam-3395	332	9	67	67	NUM
ejpam-3395	332	10	)	)	PUNCT
ejpam-3395	332	11	according	accord	VERB
ejpam-3395	332	12	to	to	ADP
ejpam-3395	332	13	the	the	DET
ejpam-3395	332	14	ito	ito	PROPN
ejpam-3395	332	15	isometry	isometry	PROPN
ejpam-3395	332	16	,	,	PUNCT
ejpam-3395	332	17	we	we	PRON
ejpam-3395	332	18	get	get	VERB
ejpam-3395	332	19	e|j2(t)|2	e|j2(t)|2	NOUN
ejpam-3395	332	20	=	=	SYM
ejpam-3395	332	21	e	e	PROPN
ejpam-3395	332	22	∫	∫	PROPN
ejpam-3395	332	23	t	t	PROPN
ejpam-3395	332	24	0	0	NUM
ejpam-3395	332	25	|ψ2(s)|2	|ψ2(s)|2	PROPN
ejpam-3395	332	26	ds	ds	PROPN
ejpam-3395	332	27	.	.	PUNCT
ejpam-3395	333	1	(	(	PUNCT
ejpam-3395	333	2	68	68	NUM
ejpam-3395	333	3	)	)	PUNCT
ejpam-3395	333	4	by	by	ADP
ejpam-3395	333	5	fubini	fubini	NOUN
ejpam-3395	333	6	’s	’s	PART
ejpam-3395	333	7	theorem	theorem	VERB
ejpam-3395	333	8	e|j2(t)|2	e|j2(t)|2	PROPN
ejpam-3395	333	9	=	=	SYM
ejpam-3395	333	10	∫	∫	PROPN
ejpam-3395	333	11	t	t	NOUN
ejpam-3395	333	12	0	0	NUM
ejpam-3395	334	1	e	e	NOUN
ejpam-3395	334	2	|ψ2(s)|2	|ψ2(s)|2	X
ejpam-3395	334	3	ds	ds	X
ejpam-3395	334	4	.	.	PUNCT
ejpam-3395	334	5	(	(	PUNCT
ejpam-3395	334	6	69	69	NUM
ejpam-3395	334	7	)	)	PUNCT
ejpam-3395	334	8	using	use	VERB
ejpam-3395	334	9	the	the	DET
ejpam-3395	334	10	assumption	assumption	NOUN
ejpam-3395	334	11	in	in	ADP
ejpam-3395	334	12	(	(	PUNCT
ejpam-3395	334	13	a.1.2	a.1.2	NOUN
ejpam-3395	334	14	)	)	PUNCT
ejpam-3395	334	15	,	,	PUNCT
ejpam-3395	334	16	we	we	PRON
ejpam-3395	334	17	have	have	VERB
ejpam-3395	334	18	e	e	NOUN
ejpam-3395	334	19	|ψ2(s)|2	|ψ2(s)|2	PROPN
ejpam-3395	334	20	≤	≤	NUM
ejpam-3395	334	21	σ2a2	σ2a2	PUNCT
ejpam-3395	334	22	ε2	ε2	PROPN
ejpam-3395	334	23	e	e	NOUN
ejpam-3395	334	24	(	(	PUNCT
ejpam-3395	334	25	%	%	INTJ
ejpam-3395	334	26	∣∣∣(vs	∣∣∣(vs	PROPN
ejpam-3395	334	27	−	−	PROPN
ejpam-3395	334	28	ṽs)∣∣∣2	ṽs)∣∣∣2	NOUN
ejpam-3395	334	29	)	)	PUNCT
ejpam-3395	334	30	,	,	PUNCT
ejpam-3395	334	31	(	(	PUNCT
ejpam-3395	334	32	70	70	X
ejpam-3395	334	33	)	)	PUNCT
ejpam-3395	334	34	d.	d.	PROPN
ejpam-3395	334	35	a.	a.	PROPN
ejpam-3395	334	36	n.	n.	PROPN
ejpam-3395	334	37	njamen	njamen	PROPN
ejpam-3395	334	38	,	,	PUNCT
ejpam-3395	334	39	e.	e.	PROPN
ejpam-3395	334	40	djeutcha	djeutcha	PROPN
ejpam-3395	334	41	/	/	SYM
ejpam-3395	334	42	eur	eur	PROPN
ejpam-3395	334	43	.	.	PUNCT
ejpam-3395	335	1	j.	j.	PROPN
ejpam-3395	335	2	pure	pure	PROPN
ejpam-3395	335	3	appl	appl	PROPN
ejpam-3395	335	4	.	.	PROPN
ejpam-3395	335	5	math	math	PROPN
ejpam-3395	335	6	,	,	PUNCT
ejpam-3395	335	7	12	12	NUM
ejpam-3395	335	8	(	(	PUNCT
ejpam-3395	335	9	2	2	NUM
ejpam-3395	335	10	)	)	PUNCT
ejpam-3395	335	11	(	(	PUNCT
ejpam-3395	335	12	2019	2019	NUM
ejpam-3395	335	13	)	)	PUNCT
ejpam-3395	335	14	,	,	PUNCT
ejpam-3395	335	15	448	448	NUM
ejpam-3395	335	16	-	-	SYM
ejpam-3395	335	17	468	468	NUM
ejpam-3395	335	18	460	460	NUM
ejpam-3395	335	19	and	and	CCONJ
ejpam-3395	335	20	the	the	DET
ejpam-3395	335	21	jensen	jensen	PROPN
ejpam-3395	335	22	’s	’s	PART
ejpam-3395	335	23	inequality	inequality	NOUN
ejpam-3395	335	24	give	give	VERB
ejpam-3395	335	25	e	e	PRON
ejpam-3395	335	26	|ψ2(s)|2	|ψ2(s)|2	PROPN
ejpam-3395	335	27	≤	≤	NUM
ejpam-3395	335	28	σ2a2	σ2a2	PUNCT
ejpam-3395	335	29	ε2	ε2	ADJ
ejpam-3395	335	30	%	%	NOUN
ejpam-3395	335	31	(	(	PUNCT
ejpam-3395	335	32	e	e	PROPN
ejpam-3395	335	33	∣∣∣(vs	∣∣∣(vs	PROPN
ejpam-3395	335	34	−	−	PROPN
ejpam-3395	335	35	ṽs)∣∣∣2	ṽs)∣∣∣2	NOUN
ejpam-3395	335	36	)	)	PUNCT
ejpam-3395	335	37	.	.	PUNCT
ejpam-3395	336	1	(	(	PUNCT
ejpam-3395	336	2	71	71	NUM
ejpam-3395	336	3	)	)	PUNCT
ejpam-3395	336	4	therefore	therefore	ADV
ejpam-3395	336	5	e|j2(t)|2	e|j2(t)|2	PROPN
ejpam-3395	336	6	≤	≤	NUM
ejpam-3395	336	7	σ2a2	σ2a2	PUNCT
ejpam-3395	337	1	ε2	ε2	ADJ
ejpam-3395	337	2	∫	∫	PROPN
ejpam-3395	337	3	t	t	PROPN
ejpam-3395	337	4	0	0	NUM
ejpam-3395	337	5	%	%	NOUN
ejpam-3395	337	6	(	(	PUNCT
ejpam-3395	337	7	e	e	PROPN
ejpam-3395	337	8	∣∣∣(vs	∣∣∣(vs	PROPN
ejpam-3395	337	9	−	−	PROPN
ejpam-3395	337	10	ṽs)∣∣∣2	ṽs)∣∣∣2	ADV
ejpam-3395	337	11	)	)	PUNCT
ejpam-3395	337	12	ds	ds	PROPN
ejpam-3395	337	13	,	,	PUNCT
ejpam-3395	337	14	(	(	PUNCT
ejpam-3395	337	15	72	72	X
ejpam-3395	337	16	)	)	PUNCT
ejpam-3395	337	17	using	use	VERB
ejpam-3395	337	18	the	the	DET
ejpam-3395	337	19	simple	simple	ADJ
ejpam-3395	337	20	estimation	estimation	NOUN
ejpam-3395	337	21	and	and	CCONJ
ejpam-3395	337	22	fubini	fubini	NOUN
ejpam-3395	337	23	’s	’s	PART
ejpam-3395	337	24	theorem	theorem	NOUN
ejpam-3395	337	25	,	,	PUNCT
ejpam-3395	337	26	we	we	PRON
ejpam-3395	337	27	have	have	VERB
ejpam-3395	337	28	e|j1(t)|2	e|j1(t)|2	PROPN
ejpam-3395	337	29	≤	≤	PROPN
ejpam-3395	338	1	t	t	PROPN
ejpam-3395	338	2	∫	∫	PROPN
ejpam-3395	338	3	t	t	PROPN
ejpam-3395	338	4	0	0	PUNCT
ejpam-3395	338	5	e	e	NOUN
ejpam-3395	338	6	|ψ1(s)|2	|ψ1(s)|2	X
ejpam-3395	338	7	ds	ds	X
ejpam-3395	338	8	.	.	PUNCT
ejpam-3395	339	1	(	(	PUNCT
ejpam-3395	339	2	73	73	NUM
ejpam-3395	339	3	)	)	PUNCT
ejpam-3395	339	4	let	let	VERB
ejpam-3395	339	5	m	m	NOUN
ejpam-3395	339	6	=	=	SYM
ejpam-3395	339	7	min	min	ADJ
ejpam-3395	339	8	{	{	PUNCT
ejpam-3395	339	9	1	1	NUM
ejpam-3395	339	10	ε2	ε2	ADJ
ejpam-3395	339	11	,	,	PUNCT
ejpam-3395	339	12	1	1	NUM
ejpam-3395	339	13	}	}	PUNCT
ejpam-3395	339	14	,	,	PUNCT
ejpam-3395	339	15	we	we	PRON
ejpam-3395	339	16	have	have	VERB
ejpam-3395	339	17	e|j1(t)|2	e|j1(t)|2	PROPN
ejpam-3395	339	18	≤	≤	NUM
ejpam-3395	339	19	8tm	8tm	NOUN
ejpam-3395	339	20	∫	∫	PROPN
ejpam-3395	339	21	t	t	NOUN
ejpam-3395	339	22	0	0	NUM
ejpam-3395	339	23	e	e	NOUN
ejpam-3395	339	24	|ψ1(s)|2	|ψ1(s)|2	X
ejpam-3395	339	25	ds	ds	X
ejpam-3395	339	26	.	.	PUNCT
ejpam-3395	340	1	(	(	PUNCT
ejpam-3395	340	2	74	74	NUM
ejpam-3395	340	3	)	)	PUNCT
ejpam-3395	340	4	we	we	PRON
ejpam-3395	340	5	know	know	VERB
ejpam-3395	340	6	that	that	SCONJ
ejpam-3395	340	7	bht	bht	PROPN
ejpam-3395	340	8	is	be	AUX
ejpam-3395	340	9	the	the	DET
ejpam-3395	340	10	fbm	fbm	NOUN
ejpam-3395	340	11	with	with	ADP
ejpam-3395	340	12	1	1	NUM
ejpam-3395	340	13	2	2	NUM
ejpam-3395	340	14	<	<	X
ejpam-3395	340	15	h	h	NOUN
ejpam-3395	340	16	<	<	X
ejpam-3395	340	17	1	1	NUM
ejpam-3395	340	18	and	and	CCONJ
ejpam-3395	340	19	ψ3(t	ψ3(t	NOUN
ejpam-3395	340	20	)	)	PUNCT
ejpam-3395	340	21	is	be	AUX
ejpam-3395	340	22	a	a	DET
ejpam-3395	340	23	stochastic	stochastic	ADJ
ejpam-3395	340	24	process	process	NOUN
ejpam-3395	340	25	in	in	ADP
ejpam-3395	340	26	d1,2(|h|	d1,2(|h|	NUM
ejpam-3395	340	27	)	)	PUNCT
ejpam-3395	340	28	∩	∩	NOUN
ejpam-3395	340	29	(	(	PUNCT
ejpam-3395	340	30	lϕ[0	lϕ[0	PROPN
ejpam-3395	340	31	,	,	PUNCT
ejpam-3395	340	32	t	t	NOUN
ejpam-3395	340	33	]	]	PUNCT
ejpam-3395	340	34	)	)	PUNCT
ejpam-3395	340	35	,	,	PUNCT
ejpam-3395	340	36	for	for	ADP
ejpam-3395	340	37	every	every	DET
ejpam-3395	340	38	t	t	NOUN
ejpam-3395	340	39	∈	∈	PROPN
ejpam-3395	341	1	[	[	X
ejpam-3395	341	2	0	0	NUM
ejpam-3395	341	3	,	,	PUNCT
ejpam-3395	341	4	t	t	X
ejpam-3395	341	5	]	]	PUNCT
ejpam-3395	341	6	,	,	PUNCT
ejpam-3395	341	7	we	we	PRON
ejpam-3395	341	8	have	have	VERB
ejpam-3395	341	9	from	from	ADP
ejpam-3395	341	10	lemma	lemma	PROPN
ejpam-3395	341	11	1	1	NUM
ejpam-3395	341	12	that	that	PRON
ejpam-3395	341	13	e	e	PROPN
ejpam-3395	342	1	[	[	X
ejpam-3395	342	2	∫	∫	X
ejpam-3395	342	3	t	t	PROPN
ejpam-3395	342	4	0	0	NUM
ejpam-3395	342	5	ψ3(s)d	ψ3(s)d	NOUN
ejpam-3395	342	6	◦	◦	NOUN
ejpam-3395	342	7	bhs	bhs	PROPN
ejpam-3395	342	8	]	]	X
ejpam-3395	342	9	2	2	NUM
ejpam-3395	342	10	≤	≤	NUM
ejpam-3395	342	11	1	1	NUM
ejpam-3395	342	12	ε2	ε2	ADJ
ejpam-3395	342	13	[	[	PUNCT
ejpam-3395	342	14	2ht2h−1e	2ht2h−1e	NUM
ejpam-3395	342	15	[	[	X
ejpam-3395	342	16	∫	∫	X
ejpam-3395	342	17	t	t	PROPN
ejpam-3395	342	18	0	0	NUM
ejpam-3395	342	19	|ψ̃3(s)|2ds	|ψ̃3(s)|2ds	NOUN
ejpam-3395	342	20	]	]	PUNCT
ejpam-3395	343	1	+	+	NUM
ejpam-3395	343	2	4te	4te	ADJ
ejpam-3395	343	3	[	[	X
ejpam-3395	343	4	∫	∫	X
ejpam-3395	343	5	t	t	PROPN
ejpam-3395	343	6	0	0	NUM
ejpam-3395	343	7	dϕ	dϕ	PROPN
ejpam-3395	343	8	s	s	PROPN
ejpam-3395	343	9	ψ̃3(s	ψ̃3(s	PROPN
ejpam-3395	343	10	)	)	PUNCT
ejpam-3395	343	11	]	]	PUNCT
ejpam-3395	343	12	2	2	NUM
ejpam-3395	343	13	ds	ds	NOUN
ejpam-3395	343	14	]	]	PUNCT
ejpam-3395	343	15	(	(	PUNCT
ejpam-3395	343	16	75	75	NUM
ejpam-3395	343	17	)	)	PUNCT
ejpam-3395	343	18	with	with	ADP
ejpam-3395	343	19	ψ̃3(s	ψ̃3(s	PROPN
ejpam-3395	343	20	)	)	PUNCT
ejpam-3395	343	21	=	=	PUNCT
ejpam-3395	343	22	σc(vs	σc(vs	PROPN
ejpam-3395	343	23	−	−	PUNCT
ejpam-3395	343	24	ṽs	ṽs	PROPN
ejpam-3395	343	25	)	)	PUNCT
ejpam-3395	343	26	.	.	PUNCT
ejpam-3395	344	1	the	the	DET
ejpam-3395	344	2	inequality	inequality	NOUN
ejpam-3395	344	3	(	(	PUNCT
ejpam-3395	344	4	75	75	NUM
ejpam-3395	344	5	)	)	PUNCT
ejpam-3395	344	6	implies	imply	VERB
ejpam-3395	344	7	that	that	SCONJ
ejpam-3395	344	8	e|j3(t)|2	e|j3(t)|2	PROPN
ejpam-3395	344	9	≤	≤	PROPN
ejpam-3395	344	10	8tm	8tm	NOUN
ejpam-3395	344	11	∫	∫	PROPN
ejpam-3395	344	12	t	t	PROPN
ejpam-3395	344	13	0	0	NUM
ejpam-3395	345	1	[	[	PUNCT
ejpam-3395	345	2	e|ψ̃3(s)|2	e|ψ̃3(s)|2	X
ejpam-3395	345	3	+	+	NUM
ejpam-3395	345	4	e|dϕ	e|dϕ	PRON
ejpam-3395	345	5	s	s	NOUN
ejpam-3395	345	6	ψ̃3(s)|2	ψ̃3(s)|2	NOUN
ejpam-3395	345	7	]	]	PUNCT
ejpam-3395	345	8	ds	ds	X
ejpam-3395	345	9	.	.	PUNCT
ejpam-3395	346	1	(	(	PUNCT
ejpam-3395	346	2	76	76	NUM
ejpam-3395	346	3	)	)	PUNCT
ejpam-3395	346	4	by	by	ADP
ejpam-3395	346	5	combining	combine	VERB
ejpam-3395	346	6	(	(	PUNCT
ejpam-3395	346	7	76	76	NUM
ejpam-3395	346	8	)	)	PUNCT
ejpam-3395	346	9	and	and	CCONJ
ejpam-3395	346	10	(	(	PUNCT
ejpam-3395	346	11	74	74	NUM
ejpam-3395	346	12	)	)	PUNCT
ejpam-3395	346	13	,	,	PUNCT
ejpam-3395	346	14	we	we	PRON
ejpam-3395	346	15	obtain	obtain	VERB
ejpam-3395	346	16	e|j1(t)|2	e|j1(t)|2	PROPN
ejpam-3395	346	17	+	+	CCONJ
ejpam-3395	347	1	e|j3(t)|2	e|j3(t)|2	PROPN
ejpam-3395	347	2	≤	≤	NUM
ejpam-3395	347	3	8tm	8tm	NOUN
ejpam-3395	347	4	∫	∫	PROPN
ejpam-3395	347	5	t	t	PROPN
ejpam-3395	347	6	0	0	NUM
ejpam-3395	347	7	[	[	PUNCT
ejpam-3395	347	8	e|ψ1(s)|2ds+	e|ψ1(s)|2ds+	X
ejpam-3395	347	9	e|ψ3(s)|2	e|ψ3(s)|2	PROPN
ejpam-3395	347	10	+	+	CCONJ
ejpam-3395	347	11	e|dϕ	e|dϕ	PRON
ejpam-3395	347	12	s	s	PROPN
ejpam-3395	347	13	ψ3(s)|2	ψ3(s)|2	PROPN
ejpam-3395	347	14	]	]	PUNCT
ejpam-3395	347	15	ds	ds	PROPN
ejpam-3395	347	16	.	.	PUNCT
ejpam-3395	348	1	(	(	PUNCT
ejpam-3395	348	2	77	77	NUM
ejpam-3395	348	3	)	)	PUNCT
ejpam-3395	348	4	using	use	VERB
ejpam-3395	348	5	the	the	DET
ejpam-3395	348	6	inequality	inequality	NOUN
ejpam-3395	348	7	(	(	PUNCT
ejpam-3395	348	8	17	17	NUM
ejpam-3395	348	9	)	)	PUNCT
ejpam-3395	348	10	of	of	ADP
ejpam-3395	348	11	the	the	DET
ejpam-3395	348	12	assumption	assumption	NOUN
ejpam-3395	348	13	(	(	PUNCT
ejpam-3395	348	14	a.2	a.2	SYM
ejpam-3395	348	15	)	)	PUNCT
ejpam-3395	348	16	,	,	PUNCT
ejpam-3395	348	17	we	we	PRON
ejpam-3395	348	18	obtain	obtain	VERB
ejpam-3395	348	19	e|j1(t)|2	e|j1(t)|2	PROPN
ejpam-3395	348	20	+	+	CCONJ
ejpam-3395	348	21	e|j2(t)|2	e|j2(t)|2	PROPN
ejpam-3395	348	22	≤	≤	NUM
ejpam-3395	348	23	8tm	8tm	NOUN
ejpam-3395	348	24	∫	∫	PROPN
ejpam-3395	348	25	t	t	PROPN
ejpam-3395	348	26	0	0	NUM
ejpam-3395	348	27	%	%	NOUN
ejpam-3395	348	28	(	(	PUNCT
ejpam-3395	348	29	e|vs	e|vs	NOUN
ejpam-3395	348	30	−	−	PROPN
ejpam-3395	348	31	ṽs|2	ṽs|2	PROPN
ejpam-3395	348	32	)	)	PUNCT
ejpam-3395	348	33	ds	ds	PROPN
ejpam-3395	348	34	.	.	PUNCT
ejpam-3395	349	1	(	(	PUNCT
ejpam-3395	349	2	78	78	NUM
ejpam-3395	349	3	)	)	PUNCT
ejpam-3395	349	4	the	the	DET
ejpam-3395	349	5	inequality	inequality	NOUN
ejpam-3395	349	6	(	(	PUNCT
ejpam-3395	349	7	72	72	NUM
ejpam-3395	349	8	)	)	PUNCT
ejpam-3395	349	9	and	and	CCONJ
ejpam-3395	349	10	(	(	PUNCT
ejpam-3395	349	11	78	78	X
ejpam-3395	349	12	)	)	PUNCT
ejpam-3395	349	13	give	give	VERB
ejpam-3395	349	14	e|j1(t)|2	e|j1(t)|2	PROPN
ejpam-3395	349	15	+	+	CCONJ
ejpam-3395	349	16	e|j2(t)|2	e|j2(t)|2	PROPN
ejpam-3395	349	17	+	+	CCONJ
ejpam-3395	349	18	e|j3(t)|2	e|j3(t)|2	PROPN
ejpam-3395	349	19	≤m(σ2a2	≤m(σ2a2	PROPN
ejpam-3395	349	20	+	+	CCONJ
ejpam-3395	349	21	8	8	NUM
ejpam-3395	349	22	t	t	NOUN
ejpam-3395	349	23	)	)	PUNCT
ejpam-3395	350	1	∫	∫	PROPN
ejpam-3395	350	2	t	t	PROPN
ejpam-3395	350	3	0	0	NUM
ejpam-3395	350	4	%	%	NOUN
ejpam-3395	350	5	(	(	PUNCT
ejpam-3395	350	6	e	e	NOUN
ejpam-3395	350	7	∣∣∣vs	∣∣∣vs	PROPN
ejpam-3395	350	8	−	−	NOUN
ejpam-3395	350	9	ṽs∣∣∣2	ṽs∣∣∣2	NOUN
ejpam-3395	350	10	)	)	PUNCT
ejpam-3395	350	11	ds	ds	PROPN
ejpam-3395	350	12	.	.	PUNCT
ejpam-3395	351	1	(	(	PUNCT
ejpam-3395	351	2	79	79	NUM
ejpam-3395	351	3	)	)	PUNCT
ejpam-3395	351	4	the	the	DET
ejpam-3395	351	5	inequality	inequality	NOUN
ejpam-3395	351	6	(	(	PUNCT
ejpam-3395	351	7	66	66	NUM
ejpam-3395	351	8	)	)	PUNCT
ejpam-3395	351	9	give	give	VERB
ejpam-3395	351	10	e|vt	e|vt	NOUN
ejpam-3395	351	11	−	−	PROPN
ejpam-3395	351	12	ṽt|2	ṽt|2	NOUN
ejpam-3395	351	13	≤	≤	NUM
ejpam-3395	351	14	3m(σ2a2	3m(σ2a2	NUM
ejpam-3395	351	15	+	+	CCONJ
ejpam-3395	351	16	8	8	NUM
ejpam-3395	351	17	t	t	NOUN
ejpam-3395	351	18	)	)	PUNCT
ejpam-3395	352	1	∫	∫	PROPN
ejpam-3395	353	1	t	t	PROPN
ejpam-3395	353	2	0	0	NUM
ejpam-3395	353	3	%	%	NOUN
ejpam-3395	353	4	(	(	PUNCT
ejpam-3395	353	5	e	e	NOUN
ejpam-3395	353	6	∣∣∣vs	∣∣∣vs	PROPN
ejpam-3395	353	7	−	−	NOUN
ejpam-3395	353	8	ṽs∣∣∣2	ṽs∣∣∣2	NOUN
ejpam-3395	353	9	)	)	PUNCT
ejpam-3395	353	10	ds	ds	PROPN
ejpam-3395	353	11	.	.	PUNCT
ejpam-3395	354	1	(	(	PUNCT
ejpam-3395	354	2	80	80	NUM
ejpam-3395	354	3	)	)	PUNCT
ejpam-3395	354	4	noticing	notice	VERB
ejpam-3395	354	5	that	that	PRON
ejpam-3395	354	6	from	from	ADP
ejpam-3395	354	7	(	(	PUNCT
ejpam-3395	354	8	16	16	NUM
ejpam-3395	354	9	)	)	PUNCT
ejpam-3395	354	10	,	,	PUNCT
ejpam-3395	354	11	the	the	DET
ejpam-3395	354	12	inequality	inequality	NOUN
ejpam-3395	354	13	(	(	PUNCT
ejpam-3395	354	14	80	80	NUM
ejpam-3395	354	15	)	)	PUNCT
ejpam-3395	354	16	implies	imply	VERB
ejpam-3395	354	17	that	that	SCONJ
ejpam-3395	354	18	e|vt	e|vt	VERB
ejpam-3395	354	19	−	−	PUNCT
ejpam-3395	354	20	ṽt|2	ṽt|2	NOUN
ejpam-3395	354	21	=	=	SYM
ejpam-3395	354	22	0,∀t	0,∀t	NUM
ejpam-3395	354	23	∈	∈	PROPN
ejpam-3395	355	1	[	[	X
ejpam-3395	355	2	0	0	NUM
ejpam-3395	355	3	,	,	PUNCT
ejpam-3395	355	4	t	t	X
ejpam-3395	355	5	]	]	PUNCT
ejpam-3395	355	6	.	.	PUNCT
ejpam-3395	356	1	since	since	SCONJ
ejpam-3395	356	2	t	t	PROPN
ejpam-3395	356	3	>	>	X
ejpam-3395	356	4	0	0	PUNCT
ejpam-3395	356	5	is	be	AUX
ejpam-3395	356	6	an	an	DET
ejpam-3395	356	7	arbitrary	arbitrary	ADJ
ejpam-3395	356	8	,	,	PUNCT
ejpam-3395	356	9	vt	vt	PROPN
ejpam-3395	356	10	≡	≡	PROPN
ejpam-3395	356	11	ṽt	ṽt	PROPN
ejpam-3395	356	12	,	,	PUNCT
ejpam-3395	356	13	∀t	∀t	PROPN
ejpam-3395	356	14	∈	∈	PROPN
ejpam-3395	357	1	[	[	X
ejpam-3395	357	2	0	0	NUM
ejpam-3395	357	3	,	,	PUNCT
ejpam-3395	357	4	t	t	X
ejpam-3395	357	5	]	]	PUNCT
ejpam-3395	357	6	.	.	PUNCT
ejpam-3395	358	1	thus	thus	ADV
ejpam-3395	358	2	the	the	DET
ejpam-3395	358	3	path	path	NOUN
ejpam-3395	358	4	-	-	PUNCT
ejpam-3395	358	5	wise	wise	ADJ
ejpam-3395	358	6	uniqueness	uniqueness	NOUN
ejpam-3395	358	7	holds	hold	VERB
ejpam-3395	358	8	for	for	ADP
ejpam-3395	358	9	(	(	PUNCT
ejpam-3395	358	10	3	3	NUM
ejpam-3395	358	11	)	)	PUNCT
ejpam-3395	358	12	.	.	PUNCT
ejpam-3395	359	1	to	to	PART
ejpam-3395	359	2	show	show	VERB
ejpam-3395	359	3	the	the	DET
ejpam-3395	359	4	existence	existence	NOUN
ejpam-3395	359	5	,	,	PUNCT
ejpam-3395	359	6	we	we	PRON
ejpam-3395	359	7	proceed	proceed	VERB
ejpam-3395	359	8	in	in	ADP
ejpam-3395	359	9	the	the	DET
ejpam-3395	359	10	same	same	ADJ
ejpam-3395	359	11	way	way	NOUN
ejpam-3395	359	12	as	as	SCONJ
ejpam-3395	359	13	theorem	theorem	ADJ
ejpam-3395	359	14	1	1	NUM
ejpam-3395	359	15	.	.	PUNCT
ejpam-3395	359	16	d.	d.	PROPN
ejpam-3395	359	17	a.	a.	PROPN
ejpam-3395	359	18	n.	n.	PROPN
ejpam-3395	359	19	njamen	njamen	PROPN
ejpam-3395	359	20	,	,	PUNCT
ejpam-3395	359	21	e.	e.	PROPN
ejpam-3395	359	22	djeutcha	djeutcha	PROPN
ejpam-3395	359	23	/	/	SYM
ejpam-3395	359	24	eur	eur	PROPN
ejpam-3395	359	25	.	.	PUNCT
ejpam-3395	360	1	j.	j.	PROPN
ejpam-3395	360	2	pure	pure	PROPN
ejpam-3395	360	3	appl	appl	PROPN
ejpam-3395	360	4	.	.	PROPN
ejpam-3395	360	5	math	math	PROPN
ejpam-3395	360	6	,	,	PUNCT
ejpam-3395	360	7	12	12	NUM
ejpam-3395	360	8	(	(	PUNCT
ejpam-3395	360	9	2	2	NUM
ejpam-3395	360	10	)	)	PUNCT
ejpam-3395	360	11	(	(	PUNCT
ejpam-3395	360	12	2019	2019	NUM
ejpam-3395	360	13	)	)	PUNCT
ejpam-3395	360	14	,	,	PUNCT
ejpam-3395	360	15	448	448	NUM
ejpam-3395	360	16	-	-	SYM
ejpam-3395	360	17	468	468	NUM
ejpam-3395	360	18	461	461	NUM
ejpam-3395	360	19	theorem	theorem	NOUN
ejpam-3395	360	20	3	3	X
ejpam-3395	360	21	.	.	PUNCT
ejpam-3395	361	1	if	if	SCONJ
ejpam-3395	361	2	vt	vt	PROPN
ejpam-3395	361	3	is	be	AUX
ejpam-3395	361	4	the	the	DET
ejpam-3395	361	5	solution	solution	NOUN
ejpam-3395	361	6	of	of	ADP
ejpam-3395	361	7	(	(	PUNCT
ejpam-3395	361	8	62	62	NUM
ejpam-3395	361	9	)	)	PUNCT
ejpam-3395	361	10	,	,	PUNCT
ejpam-3395	361	11	then	then	ADV
ejpam-3395	361	12	e(|vt|2	e(|vt|2	NOUN
ejpam-3395	361	13	)	)	PUNCT
ejpam-3395	361	14	<	<	X
ejpam-3395	361	15	∞.	∞.	PROPN
ejpam-3395	361	16	proof	proof	NOUN
ejpam-3395	361	17	.	.	PUNCT
ejpam-3395	362	1	to	to	PART
ejpam-3395	362	2	prove	prove	VERB
ejpam-3395	362	3	the	the	DET
ejpam-3395	362	4	existence	existence	NOUN
ejpam-3395	362	5	of	of	ADP
ejpam-3395	362	6	theorem	theorem	NOUN
ejpam-3395	362	7	3	3	NUM
ejpam-3395	362	8	,	,	PUNCT
ejpam-3395	362	9	we	we	PRON
ejpam-3395	362	10	show	show	VERB
ejpam-3395	362	11	that	that	SCONJ
ejpam-3395	362	12	under	under	ADP
ejpam-3395	362	13	the	the	DET
ejpam-3395	362	14	assumptions	assumption	NOUN
ejpam-3395	362	15	a.1	a.1	PUNCT
ejpam-3395	362	16	and	and	CCONJ
ejpam-3395	362	17	a.2	a.2	PUNCT
ejpam-3395	362	18	,	,	PUNCT
ejpam-3395	362	19	e|v	e|v	NOUN
ejpam-3395	362	20	nt	not	PART
ejpam-3395	362	21	|2	|2	NUM
ejpam-3395	362	22	<	<	X
ejpam-3395	362	23	∞	∞	PROPN
ejpam-3395	362	24	,	,	PUNCT
ejpam-3395	362	25	(	(	PUNCT
ejpam-3395	362	26	81	81	NUM
ejpam-3395	362	27	)	)	PUNCT
ejpam-3395	362	28	where	where	SCONJ
ejpam-3395	362	29	for	for	ADP
ejpam-3395	362	30	all	all	PRON
ejpam-3395	362	31	n	n	PRON
ejpam-3395	362	32	≥	≥	NUM
ejpam-3395	362	33	1	1	NUM
ejpam-3395	362	34	,	,	PUNCT
ejpam-3395	362	35	v	v	PART
ejpam-3395	362	36	nt	not	PART
ejpam-3395	362	37	verify	verify	VERB
ejpam-3395	362	38	(	(	PUNCT
ejpam-3395	362	39	61	61	NUM
ejpam-3395	362	40	)	)	PUNCT
ejpam-3395	362	41	.	.	PUNCT
ejpam-3395	363	1	by	by	ADP
ejpam-3395	363	2	induction	induction	NOUN
ejpam-3395	363	3	,	,	PUNCT
ejpam-3395	363	4	we	we	PRON
ejpam-3395	363	5	have	have	VERB
ejpam-3395	363	6	for	for	ADP
ejpam-3395	363	7	n	n	NOUN
ejpam-3395	363	8	=	=	SYM
ejpam-3395	363	9	1	1	NUM
ejpam-3395	363	10	,	,	PUNCT
ejpam-3395	363	11	from	from	ADP
ejpam-3395	363	12	lemma	lemma	PROPN
ejpam-3395	363	13	1	1	NUM
ejpam-3395	363	14	,	,	PUNCT
ejpam-3395	363	15	and	and	CCONJ
ejpam-3395	363	16	lemma	lemma	PROPN
ejpam-3395	363	17	15	15	NUM
ejpam-3395	363	18	,	,	PUNCT
ejpam-3395	363	19	e|v	e|v	X
ejpam-3395	363	20	1	1	NUM
ejpam-3395	363	21	t	t	PROPN
ejpam-3395	363	22	|2	|2	NUM
ejpam-3395	363	23	≤	≤	NUM
ejpam-3395	363	24	3e	3e	NOUN
ejpam-3395	363	25	|ζ|2	|ζ|2	PROPN
ejpam-3395	363	26	+	+	CCONJ
ejpam-3395	363	27	3e	3e	PROPN
ejpam-3395	363	28	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	363	29	t	t	PROPN
ejpam-3395	363	30	0	0	NUM
ejpam-3395	363	31	κ(θ	κ(θ	PROPN
ejpam-3395	363	32	−	−	ADP
ejpam-3395	363	33	v	v	NOUN
ejpam-3395	363	34	0	0	NUM
ejpam-3395	363	35	s	s	PART
ejpam-3395	363	36	)	)	PUNCT
ejpam-3395	363	37	ds	ds	ADJ
ejpam-3395	363	38	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	363	39	+	+	CCONJ
ejpam-3395	364	1	3e	3e	PROPN
ejpam-3395	364	2	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	364	3	t	t	PROPN
ejpam-3395	364	4	0	0	NUM
ejpam-3395	365	1	σ1(s	σ1(s	PROPN
ejpam-3395	365	2	,	,	PUNCT
ejpam-3395	365	3	√	√	NOUN
ejpam-3395	365	4	v	v	ADP
ejpam-3395	365	5	0	0	NUM
ejpam-3395	365	6	s	s	PART
ejpam-3395	365	7	)	)	PUNCT
ejpam-3395	365	8	dbs	dbs	NOUN
ejpam-3395	365	9	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	365	10	+	+	CCONJ
ejpam-3395	365	11	3e	3e	PROPN
ejpam-3395	365	12	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3395	365	13	t	t	PROPN
ejpam-3395	365	14	0	0	NUM
ejpam-3395	366	1	σ2(s	σ2(s	PROPN
ejpam-3395	366	2	,	,	PUNCT
ejpam-3395	366	3	√	√	PROPN
ejpam-3395	366	4	v	v	ADP
ejpam-3395	366	5	0	0	NUM
ejpam-3395	366	6	s	s	PART
ejpam-3395	366	7	)	)	PUNCT
ejpam-3395	366	8	dbhs	dbhs	ADJ
ejpam-3395	366	9	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3395	366	10	≤	≤	ADJ
ejpam-3395	366	11	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	367	1	+	+	CCONJ
ejpam-3395	367	2	3κ2θ2t2	3κ2θ2t2	NUM
ejpam-3395	367	3	+	+	CCONJ
ejpam-3395	367	4	12	12	NUM
ejpam-3395	367	5	t	t	NOUN
ejpam-3395	367	6	∫	∫	PROPN
ejpam-3395	367	7	t	t	PROPN
ejpam-3395	367	8	0	0	NUM
ejpam-3395	367	9	[	[	PUNCT
ejpam-3395	367	10	e	e	X
ejpam-3395	367	11	∣∣κ(s	∣∣κ(s	PROPN
ejpam-3395	367	12	,	,	PUNCT
ejpam-3395	367	13	v	v	NOUN
ejpam-3395	367	14	0	0	NUM
ejpam-3395	367	15	s	s	PART
ejpam-3395	367	16	)	)	PUNCT
ejpam-3395	367	17	∣∣2	∣∣2	PROPN
ejpam-3395	367	18	+	+	CCONJ
ejpam-3395	367	19	ξ1	ξ1	NOUN
ejpam-3395	367	20	]	]	PUNCT
ejpam-3395	367	21	ds	ds	X
ejpam-3395	367	22	with	with	ADP
ejpam-3395	367	23	ξ1	ξ1	NOUN
ejpam-3395	367	24	=	=	SYM
ejpam-3395	367	25	e	e	X
ejpam-3395	367	26	∣∣σ2(s	∣∣σ2(s	PROPN
ejpam-3395	367	27	,	,	PUNCT
ejpam-3395	367	28	v	v	ADP
ejpam-3395	367	29	0	0	NUM
ejpam-3395	367	30	s	s	PART
ejpam-3395	367	31	)	)	PUNCT
ejpam-3395	367	32	∣∣2	∣∣2	PROPN
ejpam-3395	367	33	+	+	CCONJ
ejpam-3395	367	34	e	e	X
ejpam-3395	367	35	∣∣dϕ	∣∣dϕ	PROPN
ejpam-3395	367	36	s	s	PART
ejpam-3395	367	37	σ2(s	σ2(s	PROPN
ejpam-3395	367	38	,	,	PUNCT
ejpam-3395	367	39	v	v	NOUN
ejpam-3395	367	40	0	0	NUM
ejpam-3395	367	41	s	s	PART
ejpam-3395	367	42	)	)	PUNCT
ejpam-3395	367	43	∣∣2	∣∣2	PROPN
ejpam-3395	367	44	.	.	PUNCT
ejpam-3395	368	1	(	(	PUNCT
ejpam-3395	368	2	82	82	NUM
ejpam-3395	368	3	)	)	PUNCT
ejpam-3395	368	4	let	let	VERB
ejpam-3395	368	5	ε	ε	PROPN
ejpam-3395	368	6	=	=	SYM
ejpam-3395	368	7	min	min	PROPN
ejpam-3395	368	8	0≤t≤t	0≤t≤t	NUM
ejpam-3395	368	9	{	{	PUNCT
ejpam-3395	368	10	1	1	NUM
ejpam-3395	368	11	;	;	PUNCT
ejpam-3395	368	12	1√	1√	NUM
ejpam-3395	368	13	v	v	ADP
ejpam-3395	368	14	0	0	NUM
ejpam-3395	368	15	t	t	NOUN
ejpam-3395	368	16	}	}	PUNCT
ejpam-3395	368	17	,	,	PUNCT
ejpam-3395	368	18	we	we	PRON
ejpam-3395	368	19	have	have	VERB
ejpam-3395	368	20	e|v	e|v	PROPN
ejpam-3395	368	21	1	1	NUM
ejpam-3395	368	22	t	t	PROPN
ejpam-3395	368	23	|2	|2	NUM
ejpam-3395	368	24	≤	≤	NUM
ejpam-3395	368	25	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	369	1	+	+	CCONJ
ejpam-3395	370	1	3κ2θ2t2	3κ2θ2t2	NUM
ejpam-3395	370	2	+	+	NUM
ejpam-3395	370	3	12tε2	12tε2	NUM
ejpam-3395	370	4	∫	∫	PROPN
ejpam-3395	370	5	t	t	PROPN
ejpam-3395	370	6	0	0	NUM
ejpam-3395	370	7	[	[	PUNCT
ejpam-3395	370	8	e	e	X
ejpam-3395	370	9	∣∣κ(s	∣∣κ(s	PROPN
ejpam-3395	370	10	,	,	PUNCT
ejpam-3395	370	11	v	v	NOUN
ejpam-3395	370	12	0	0	NUM
ejpam-3395	370	13	s	s	PART
ejpam-3395	370	14	)	)	PUNCT
ejpam-3395	370	15	∣∣2	∣∣2	PROPN
ejpam-3395	370	16	+	+	CCONJ
ejpam-3395	370	17	ξ1	ξ1	NOUN
ejpam-3395	370	18	]	]	PUNCT
ejpam-3395	370	19	ds	ds	X
ejpam-3395	370	20	.	.	PUNCT
ejpam-3395	371	1	moreover	moreover	PROPN
ejpam-3395	371	2	e	e	PROPN
ejpam-3395	371	3	∣∣κ(s	∣∣κ(s	PROPN
ejpam-3395	371	4	,	,	PUNCT
ejpam-3395	371	5	v	v	NOUN
ejpam-3395	371	6	0	0	NUM
ejpam-3395	371	7	s	s	PART
ejpam-3395	371	8	)	)	PUNCT
ejpam-3395	371	9	∣∣2	∣∣2	PROPN
ejpam-3395	371	10	+	+	NUM
ejpam-3395	371	11	ξ1	ξ1	PROPN
ejpam-3395	371	12	≤	≤	NOUN
ejpam-3395	371	13	g	g	PROPN
ejpam-3395	371	14	(	(	PUNCT
ejpam-3395	371	15	1	1	NUM
ejpam-3395	371	16	+	+	NUM
ejpam-3395	371	17	e|v	e|v	X
ejpam-3395	371	18	0	0	NUM
ejpam-3395	371	19	s	s	NOUN
ejpam-3395	371	20	|2	|2	NUM
ejpam-3395	371	21	)	)	PUNCT
ejpam-3395	371	22	,	,	PUNCT
ejpam-3395	371	23	(	(	PUNCT
ejpam-3395	371	24	83	83	NUM
ejpam-3395	371	25	)	)	PUNCT
ejpam-3395	371	26	with	with	ADP
ejpam-3395	371	27	g	g	PROPN
ejpam-3395	371	28	=	=	SYM
ejpam-3395	371	29	max	max	PROPN
ejpam-3395	371	30	[	[	PUNCT
ejpam-3395	371	31	2	2	NUM
ejpam-3395	371	32	sup	sup	NOUN
ejpam-3395	371	33	0≤t≤t	0≤t≤t	NUM
ejpam-3395	372	1	e(|κv	e(|κv	NUM
ejpam-3395	372	2	0	0	NUM
ejpam-3395	372	3	s	s	NOUN
ejpam-3395	372	4	|2	|2	NUM
ejpam-3395	372	5	+	+	NUM
ejpam-3395	372	6	ξ1	ξ1	NOUN
ejpam-3395	372	7	)	)	PUNCT
ejpam-3395	373	1	+	+	CCONJ
ejpam-3395	373	2	2a1	2a1	NUM
ejpam-3395	373	3	,	,	PUNCT
ejpam-3395	373	4	2b1	2b1	NUM
ejpam-3395	373	5	]	]	PUNCT
ejpam-3395	373	6	,	,	PUNCT
ejpam-3395	373	7	where	where	SCONJ
ejpam-3395	373	8	ξ1	ξ1	NOUN
ejpam-3395	373	9	=	=	SYM
ejpam-3395	373	10	|σ2(s	|σ2(s	PROPN
ejpam-3395	373	11	,	,	PUNCT
ejpam-3395	373	12	0)|2	0)|2	NOUN
ejpam-3395	373	13	+	+	CCONJ
ejpam-3395	373	14	|dϕ	|dϕ	PRON
ejpam-3395	373	15	s	s	PROPN
ejpam-3395	373	16	σ2(s	σ2(s	PROPN
ejpam-3395	373	17	,	,	PUNCT
ejpam-3395	373	18	0)|2	0)|2	NUM
ejpam-3395	373	19	.	.	PUNCT
ejpam-3395	374	1	(	(	PUNCT
ejpam-3395	374	2	84	84	NUM
ejpam-3395	374	3	)	)	PUNCT
ejpam-3395	374	4	therefore	therefore	ADV
ejpam-3395	374	5	,	,	PUNCT
ejpam-3395	374	6	we	we	PRON
ejpam-3395	374	7	get	get	VERB
ejpam-3395	374	8	e|v	e|v	X
ejpam-3395	374	9	0	0	NUM
ejpam-3395	374	10	t	t	PROPN
ejpam-3395	374	11	|2	|2	NUM
ejpam-3395	375	1	≤	≤	NUM
ejpam-3395	375	2	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	375	3	+	+	CCONJ
ejpam-3395	376	1	3κ2θ2t2	3κ2θ2t2	NUM
ejpam-3395	376	2	+	+	CCONJ
ejpam-3395	376	3	12tgε2	12tgε2	NUM
ejpam-3395	376	4	∫	∫	PROPN
ejpam-3395	376	5	t	t	NOUN
ejpam-3395	376	6	0	0	NUM
ejpam-3395	376	7	(	(	PUNCT
ejpam-3395	376	8	1	1	NUM
ejpam-3395	376	9	+	+	NUM
ejpam-3395	376	10	e|v	e|v	X
ejpam-3395	376	11	0	0	NUM
ejpam-3395	376	12	s	s	NOUN
ejpam-3395	376	13	|2	|2	X
ejpam-3395	376	14	)	)	PUNCT
ejpam-3395	376	15	ds	ds	PROPN
ejpam-3395	376	16	.	.	PUNCT
ejpam-3395	376	17	(	(	PUNCT
ejpam-3395	376	18	85	85	NUM
ejpam-3395	376	19	)	)	PUNCT
ejpam-3395	376	20	as	as	SCONJ
ejpam-3395	376	21	we	we	PRON
ejpam-3395	376	22	know	know	VERB
ejpam-3395	376	23	that	that	SCONJ
ejpam-3395	376	24	v	v	ADP
ejpam-3395	376	25	0	0	NUM
ejpam-3395	376	26	s	s	NOUN
ejpam-3395	376	27	=	=	SYM
ejpam-3395	376	28	ζ	ζ	NOUN
ejpam-3395	376	29	,	,	PUNCT
ejpam-3395	376	30	then	then	ADV
ejpam-3395	376	31	we	we	PRON
ejpam-3395	376	32	have	have	VERB
ejpam-3395	376	33	e|v	e|v	PROPN
ejpam-3395	376	34	1	1	NUM
ejpam-3395	376	35	t	t	PROPN
ejpam-3395	376	36	|2	|2	NUM
ejpam-3395	376	37	≤	≤	NUM
ejpam-3395	376	38	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	376	39	+	+	CCONJ
ejpam-3395	376	40	3κ2θ2t2	3κ2θ2t2	NUM
ejpam-3395	376	41	+	+	SYM
ejpam-3395	376	42	12tgε2	12tgε2	NUM
ejpam-3395	376	43	t	t	NOUN
ejpam-3395	376	44	(	(	PUNCT
ejpam-3395	376	45	1	1	NUM
ejpam-3395	376	46	+	+	CCONJ
ejpam-3395	376	47	e|ζ|2	e|ζ|2	NOUN
ejpam-3395	376	48	)	)	PUNCT
ejpam-3395	376	49	(	(	PUNCT
ejpam-3395	376	50	86	86	NUM
ejpam-3395	376	51	)	)	PUNCT
ejpam-3395	376	52	i.e	i.e	PROPN
ejpam-3395	376	53	e|v	e|v	NOUN
ejpam-3395	376	54	1	1	NUM
ejpam-3395	376	55	t	t	PROPN
ejpam-3395	376	56	|2	|2	NUM
ejpam-3395	376	57	≤	≤	NUM
ejpam-3395	376	58	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	376	59	+	+	CCONJ
ejpam-3395	376	60	3κ2θ2	3κ2θ2	NOUN
ejpam-3395	376	61	t	t	NOUN
ejpam-3395	376	62	2	2	NUM
ejpam-3395	376	63	+	+	NUM
ejpam-3395	376	64	12gt	12gt	NOUN
ejpam-3395	376	65	2ε2	2ε2	NUM
ejpam-3395	376	66	(	(	PUNCT
ejpam-3395	376	67	1	1	NUM
ejpam-3395	376	68	+	+	CCONJ
ejpam-3395	376	69	e|ζ|2	e|ζ|2	NOUN
ejpam-3395	376	70	)	)	PUNCT
ejpam-3395	377	1	<	<	X
ejpam-3395	377	2	∞.	∞.	PROPN
ejpam-3395	377	3	(	(	PUNCT
ejpam-3395	377	4	87	87	NUM
ejpam-3395	377	5	)	)	PUNCT
ejpam-3395	377	6	the	the	DET
ejpam-3395	377	7	relation	relation	NOUN
ejpam-3395	377	8	(	(	PUNCT
ejpam-3395	377	9	87	87	NUM
ejpam-3395	377	10	)	)	PUNCT
ejpam-3395	377	11	is	be	AUX
ejpam-3395	377	12	true	true	ADJ
ejpam-3395	377	13	.	.	PUNCT
ejpam-3395	378	1	now	now	ADV
ejpam-3395	378	2	assume	assume	VERB
ejpam-3395	378	3	that	that	SCONJ
ejpam-3395	378	4	for	for	ADP
ejpam-3395	378	5	all	all	DET
ejpam-3395	378	6	n	n	CCONJ
ejpam-3395	378	7	,	,	PUNCT
ejpam-3395	378	8	e|v	e|v	PROPN
ejpam-3395	378	9	nt	not	PART
ejpam-3395	378	10	|2	|2	NUM
ejpam-3395	378	11	≤	≤	NOUN
ejpam-3395	378	12	a+	a+	PUNCT
ejpam-3395	378	13	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	378	14	[	[	PUNCT
ejpam-3395	378	15	n∑	n∑	NOUN
ejpam-3395	378	16	i=0	i=0	PROPN
ejpam-3395	378	17	(	(	PUNCT
ejpam-3395	378	18	12gt	12gt	NOUN
ejpam-3395	378	19	)	)	PUNCT
ejpam-3395	378	20	i	i	PRON
ejpam-3395	378	21	i	i	PRON
ejpam-3395	378	22	!	!	PUNCT
ejpam-3395	379	1	ti	ti	X
ejpam-3395	380	1	+	+	CCONJ
ejpam-3395	380	2	p∑	p∑	NOUN
ejpam-3395	380	3	i=1	i=1	PROPN
ejpam-3395	380	4	(	(	PUNCT
ejpam-3395	380	5	12gt	12gt	NOUN
ejpam-3395	380	6	)	)	PUNCT
ejpam-3395	380	7	i	i	PRON
ejpam-3395	381	1	i	i	PRON
ejpam-3395	381	2	!	!	PUNCT
ejpam-3395	382	1	ti	ti	X
ejpam-3395	382	2	]	]	PUNCT
ejpam-3395	382	3	,	,	PUNCT
ejpam-3395	382	4	d.	d.	PROPN
ejpam-3395	382	5	a.	a.	PROPN
ejpam-3395	382	6	n.	n.	PROPN
ejpam-3395	382	7	njamen	njamen	PROPN
ejpam-3395	382	8	,	,	PUNCT
ejpam-3395	382	9	e.	e.	PROPN
ejpam-3395	382	10	djeutcha	djeutcha	PROPN
ejpam-3395	382	11	/	/	SYM
ejpam-3395	382	12	eur	eur	PROPN
ejpam-3395	382	13	.	.	PUNCT
ejpam-3395	383	1	j.	j.	PROPN
ejpam-3395	383	2	pure	pure	PROPN
ejpam-3395	383	3	appl	appl	PROPN
ejpam-3395	383	4	.	.	PROPN
ejpam-3395	383	5	math	math	PROPN
ejpam-3395	383	6	,	,	PUNCT
ejpam-3395	383	7	12	12	NUM
ejpam-3395	383	8	(	(	PUNCT
ejpam-3395	383	9	2	2	NUM
ejpam-3395	383	10	)	)	PUNCT
ejpam-3395	383	11	(	(	PUNCT
ejpam-3395	383	12	2019	2019	NUM
ejpam-3395	383	13	)	)	PUNCT
ejpam-3395	383	14	,	,	PUNCT
ejpam-3395	383	15	448	448	NUM
ejpam-3395	383	16	-	-	SYM
ejpam-3395	383	17	468	468	NUM
ejpam-3395	383	18	462	462	NUM
ejpam-3395	383	19	with	with	ADP
ejpam-3395	383	20	a	a	DET
ejpam-3395	383	21	=	=	SYM
ejpam-3395	383	22	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	383	23	+	+	CCONJ
ejpam-3395	383	24	3κ2θ2	3κ2θ2	NOUN
ejpam-3395	383	25	t	t	NOUN
ejpam-3395	383	26	2	2	NUM
ejpam-3395	383	27	+	+	CCONJ
ejpam-3395	383	28	12gt	12gt	ADJ
ejpam-3395	383	29	2	2	NUM
ejpam-3395	383	30	.	.	PUNCT
ejpam-3395	384	1	then	then	ADV
ejpam-3395	384	2	we	we	PRON
ejpam-3395	384	3	have	have	VERB
ejpam-3395	384	4	,	,	PUNCT
ejpam-3395	384	5	for	for	ADP
ejpam-3395	384	6	n+	n+	ADP
ejpam-3395	384	7	1	1	NUM
ejpam-3395	384	8	e|v	e|v	NOUN
ejpam-3395	384	9	n+1	n+1	PROPN
ejpam-3395	384	10	t	t	PROPN
ejpam-3395	384	11	|2	|2	NUM
ejpam-3395	384	12	≤	≤	NUM
ejpam-3395	384	13	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	385	1	+	+	CCONJ
ejpam-3395	386	1	3κ2θ2t2	3κ2θ2t2	NUM
ejpam-3395	386	2	+	+	NUM
ejpam-3395	386	3	12gt	12gt	ADJ
ejpam-3395	386	4	∫	∫	PROPN
ejpam-3395	386	5	t	t	NOUN
ejpam-3395	386	6	0	0	NUM
ejpam-3395	387	1	(	(	PUNCT
ejpam-3395	387	2	1	1	NUM
ejpam-3395	387	3	+	+	NUM
ejpam-3395	387	4	e|v	e|v	NOUN
ejpam-3395	387	5	nt	not	PART
ejpam-3395	387	6	|2	|2	NUM
ejpam-3395	387	7	)	)	PUNCT
ejpam-3395	388	1	ds	ds	PROPN
ejpam-3395	388	2	+	+	CCONJ
ejpam-3395	388	3	12gt	12gt	ADJ
ejpam-3395	388	4	∫	∫	PROPN
ejpam-3395	388	5	t	t	PROPN
ejpam-3395	388	6	0	0	NUM
ejpam-3395	389	1	(	(	PUNCT
ejpam-3395	389	2	1	1	NUM
ejpam-3395	389	3	+	+	NUM
ejpam-3395	389	4	e|v	e|v	NOUN
ejpam-3395	389	5	nt	not	PART
ejpam-3395	389	6	|2)ds	|2)ds	PROPN
ejpam-3395	389	7	≤	≤	ADJ
ejpam-3395	389	8	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	389	9	+	+	CCONJ
ejpam-3395	390	1	3κ2θ2t2	3κ2θ2t2	NUM
ejpam-3395	390	2	+	+	NUM
ejpam-3395	390	3	12gt	12gt	ADJ
ejpam-3395	390	4	∫	∫	PROPN
ejpam-3395	390	5	t	t	NOUN
ejpam-3395	390	6	0	0	NUM
ejpam-3395	391	1	(	(	PUNCT
ejpam-3395	391	2	1	1	NUM
ejpam-3395	391	3	+	+	NUM
ejpam-3395	391	4	e|v	e|v	NOUN
ejpam-3395	391	5	nt	not	PART
ejpam-3395	391	6	|2	|2	NUM
ejpam-3395	391	7	)	)	PUNCT
ejpam-3395	391	8	ds	ds	ADJ
ejpam-3395	391	9	≤	≤	NOUN
ejpam-3395	391	10	a+	a+	PUNCT
ejpam-3395	391	11	12gt	12gt	ADJ
ejpam-3395	391	12	∫	∫	PROPN
ejpam-3395	391	13	t	t	PROPN
ejpam-3395	391	14	0	0	NUM
ejpam-3395	391	15	(	(	PUNCT
ejpam-3395	391	16	e|v	e|v	NOUN
ejpam-3395	391	17	ns	ns	NUM
ejpam-3395	391	18	|2	|2	NUM
ejpam-3395	391	19	)	)	PUNCT
ejpam-3395	391	20	ds	ds	ADJ
ejpam-3395	391	21	≤	≤	NOUN
ejpam-3395	391	22	a+	a+	PUNCT
ejpam-3395	391	23	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	391	24	∫	∫	PROPN
ejpam-3395	391	25	t	t	PROPN
ejpam-3395	391	26	0	0	NUM
ejpam-3395	392	1	[	[	PUNCT
ejpam-3395	392	2	n∑	n∑	NOUN
ejpam-3395	392	3	i=0	i=0	PROPN
ejpam-3395	392	4	(	(	PUNCT
ejpam-3395	392	5	12gt	12gt	NOUN
ejpam-3395	392	6	)	)	PUNCT
ejpam-3395	392	7	i+1	i+1	NOUN
ejpam-3395	392	8	i	i	PRON
ejpam-3395	392	9	!	!	PUNCT
ejpam-3395	393	1	si	si	X
ejpam-3395	394	1	+	+	CCONJ
ejpam-3395	394	2	p∑	p∑	NOUN
ejpam-3395	394	3	i=1	i=1	PROPN
ejpam-3395	394	4	(	(	PUNCT
ejpam-3395	394	5	12gt	12gt	NOUN
ejpam-3395	394	6	)	)	PUNCT
ejpam-3395	394	7	i+1	i+1	NOUN
ejpam-3395	395	1	i	i	PRON
ejpam-3395	395	2	!	!	PUNCT
ejpam-3395	396	1	si	si	X
ejpam-3395	396	2	]	]	X
ejpam-3395	396	3	ds	ds	ADJ
ejpam-3395	396	4	≤	≤	NOUN
ejpam-3395	396	5	a+	a+	PUNCT
ejpam-3395	396	6	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	396	7	∫	∫	PROPN
ejpam-3395	396	8	t	t	PROPN
ejpam-3395	396	9	0	0	NUM
ejpam-3395	397	1	[	[	PUNCT
ejpam-3395	397	2	n+1∑	n+1∑	PROPN
ejpam-3395	397	3	i=1	i=1	PROPN
ejpam-3395	397	4	(	(	PUNCT
ejpam-3395	397	5	12gt	12gt	NOUN
ejpam-3395	397	6	)	)	PUNCT
ejpam-3395	397	7	i	i	PRON
ejpam-3395	398	1	i	i	PRON
ejpam-3395	398	2	!	!	PUNCT
ejpam-3395	399	1	si	si	PROPN
ejpam-3395	400	1	+	+	CCONJ
ejpam-3395	400	2	p+1∑	p+1∑	PROPN
ejpam-3395	400	3	i=2	i=2	PROPN
ejpam-3395	400	4	(	(	PUNCT
ejpam-3395	400	5	12gt	12gt	NOUN
ejpam-3395	400	6	)	)	PUNCT
ejpam-3395	401	1	i	i	PRON
ejpam-3395	401	2	i	i	PRON
ejpam-3395	401	3	!	!	PUNCT
ejpam-3395	402	1	si	si	X
ejpam-3395	402	2	]	]	X
ejpam-3395	402	3	ds	ds	ADJ
ejpam-3395	402	4	≤	≤	NOUN
ejpam-3395	402	5	a+	a+	PUNCT
ejpam-3395	402	6	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	402	7	∫	∫	PROPN
ejpam-3395	402	8	t	t	PROPN
ejpam-3395	402	9	0	0	NUM
ejpam-3395	403	1	[	[	PUNCT
ejpam-3395	403	2	n+1∑	n+1∑	PROPN
ejpam-3395	403	3	i=1	i=1	PROPN
ejpam-3395	403	4	(	(	PUNCT
ejpam-3395	403	5	12gt	12gt	NOUN
ejpam-3395	403	6	)	)	PUNCT
ejpam-3395	403	7	i	i	PRON
ejpam-3395	404	1	i	i	PRON
ejpam-3395	404	2	!	!	PUNCT
ejpam-3395	405	1	si	si	PROPN
ejpam-3395	406	1	+	+	CCONJ
ejpam-3395	406	2	p+1∑	p+1∑	PROPN
ejpam-3395	406	3	i=2	i=2	PROPN
ejpam-3395	406	4	(	(	PUNCT
ejpam-3395	406	5	12gt	12gt	NOUN
ejpam-3395	406	6	)	)	PUNCT
ejpam-3395	407	1	i	i	PRON
ejpam-3395	407	2	i	i	PRON
ejpam-3395	407	3	!	!	PUNCT
ejpam-3395	408	1	si	si	X
ejpam-3395	408	2	]	]	X
ejpam-3395	408	3	ds	ds	ADJ
ejpam-3395	408	4	≤	≤	X
ejpam-3395	408	5	a+	a+	PUNCT
ejpam-3395	408	6	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	408	7	[	[	PUNCT
ejpam-3395	408	8	n+1∑	n+1∑	PROPN
ejpam-3395	408	9	i=1	i=1	PROPN
ejpam-3395	408	10	(	(	PUNCT
ejpam-3395	408	11	12gt	12gt	NOUN
ejpam-3395	408	12	)	)	PUNCT
ejpam-3395	408	13	i	i	PRON
ejpam-3395	409	1	i	i	PRON
ejpam-3395	409	2	!	!	PUNCT
ejpam-3395	410	1	ti	ti	X
ejpam-3395	410	2	+	+	CCONJ
ejpam-3395	410	3	p+1∑	p+1∑	PROPN
ejpam-3395	410	4	i=2	i=2	PROPN
ejpam-3395	410	5	(	(	PUNCT
ejpam-3395	410	6	12gt	12gt	NOUN
ejpam-3395	410	7	)	)	PUNCT
ejpam-3395	411	1	i	i	PRON
ejpam-3395	411	2	i	i	PRON
ejpam-3395	411	3	!	!	PUNCT
ejpam-3395	412	1	ti	ti	X
ejpam-3395	412	2	]	]	PUNCT
ejpam-3395	412	3	,	,	PUNCT
ejpam-3395	412	4	with	with	ADP
ejpam-3395	412	5	a	a	DET
ejpam-3395	412	6	=	=	X
ejpam-3395	412	7	a(1	a(1	PROPN
ejpam-3395	412	8	+	+	NUM
ejpam-3395	412	9	12gt	12gt	NOUN
ejpam-3395	412	10	2	2	NUM
ejpam-3395	412	11	)	)	PUNCT
ejpam-3395	412	12	.	.	PUNCT
ejpam-3395	413	1	hence	hence	ADV
ejpam-3395	413	2	e|v	e|v	PROPN
ejpam-3395	414	1	n+1	n+1	PROPN
ejpam-3395	414	2	t	t	PROPN
ejpam-3395	414	3	|2	|2	NUM
ejpam-3395	414	4	≤	≤	NOUN
ejpam-3395	415	1	a(1	a(1	PROPN
ejpam-3395	415	2	+	+	NUM
ejpam-3395	415	3	12gt	12gt	ADJ
ejpam-3395	415	4	2	2	NUM
ejpam-3395	415	5	)	)	PUNCT
ejpam-3395	416	1	+	+	CCONJ
ejpam-3395	416	2	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	416	3	[	[	PUNCT
ejpam-3395	416	4	n+1∑	n+1∑	PROPN
ejpam-3395	416	5	i=1	i=1	PROPN
ejpam-3395	416	6	(	(	PUNCT
ejpam-3395	416	7	12gt	12gt	NOUN
ejpam-3395	416	8	)	)	PUNCT
ejpam-3395	417	1	i	i	PRON
ejpam-3395	418	1	i	i	PRON
ejpam-3395	418	2	!	!	PUNCT
ejpam-3395	419	1	ti	ti	X
ejpam-3395	419	2	+	+	CCONJ
ejpam-3395	419	3	p+1∑	p+1∑	PROPN
ejpam-3395	419	4	i=2	i=2	PROPN
ejpam-3395	419	5	(	(	PUNCT
ejpam-3395	419	6	12gt	12gt	NOUN
ejpam-3395	419	7	)	)	PUNCT
ejpam-3395	420	1	i	i	PRON
ejpam-3395	420	2	i	i	PRON
ejpam-3395	420	3	!	!	PUNCT
ejpam-3395	421	1	ti	ti	X
ejpam-3395	421	2	]	]	PUNCT
ejpam-3395	421	3	.	.	PUNCT
ejpam-3395	422	1	or	or	CCONJ
ejpam-3395	422	2	ex	ex	ADJ
ejpam-3395	422	3	'	'	PUNCT
ejpam-3395	422	4	n∑	n∑	PROPN
ejpam-3395	422	5	i=1	i=1	PROPN
ejpam-3395	422	6	exp(x	exp(x	PROPN
ejpam-3395	422	7	)	)	PUNCT
ejpam-3395	422	8	,	,	PUNCT
ejpam-3395	422	9	we	we	PRON
ejpam-3395	422	10	have	have	VERB
ejpam-3395	422	11	e|v	e|v	PROPN
ejpam-3395	422	12	n+1	n+1	PROPN
ejpam-3395	422	13	t	t	PROPN
ejpam-3395	422	14	|2	|2	NUM
ejpam-3395	422	15	≤	≤	NOUN
ejpam-3395	422	16	3e|ζ|2(1	3e|ζ|2(1	NUM
ejpam-3395	423	1	+	+	CCONJ
ejpam-3395	423	2	12gt	12gt	NOUN
ejpam-3395	423	3	2	2	NUM
ejpam-3395	423	4	)	)	PUNCT
ejpam-3395	424	1	+	+	NOUN
ejpam-3395	424	2	3κ2θ2	3κ2θ2	NOUN
ejpam-3395	424	3	t	t	NOUN
ejpam-3395	424	4	2(1	2(1	NUM
ejpam-3395	424	5	+	+	CCONJ
ejpam-3395	424	6	12gt	12gt	NOUN
ejpam-3395	424	7	2	2	NUM
ejpam-3395	424	8	)	)	PUNCT
ejpam-3395	424	9	+	+	NUM
ejpam-3395	424	10	12gt	12gt	NOUN
ejpam-3395	424	11	2(1	2(1	NUM
ejpam-3395	425	1	+	+	CCONJ
ejpam-3395	425	2	12gt	12gt	NOUN
ejpam-3395	425	3	2	2	NUM
ejpam-3395	425	4	)	)	PUNCT
ejpam-3395	426	1	+	+	CCONJ
ejpam-3395	426	2	3e|ζ|2	3e|ζ|2	PROPN
ejpam-3395	426	3	exp(12gt	exp(12gt	NOUN
ejpam-3395	426	4	2	2	NUM
ejpam-3395	426	5	)	)	PUNCT
ejpam-3395	426	6	<	<	X
ejpam-3395	426	7	∞.	∞.	PROPN
ejpam-3395	426	8	we	we	PRON
ejpam-3395	426	9	can	can	AUX
ejpam-3395	426	10	conclude	conclude	VERB
ejpam-3395	426	11	that	that	PRON
ejpam-3395	426	12	e|v	e|v	PROPN
ejpam-3395	426	13	nt	not	PART
ejpam-3395	426	14	|2	|2	NUM
ejpam-3395	426	15	<	<	X
ejpam-3395	426	16	∞	∞	PROPN
ejpam-3395	426	17	and	and	CCONJ
ejpam-3395	426	18	therefore	therefore	ADV
ejpam-3395	426	19	e(|vt|2	e(|vt|2	NOUN
ejpam-3395	426	20	)	)	PUNCT
ejpam-3395	426	21	<	<	X
ejpam-3395	426	22	∞.	∞.	PROPN
ejpam-3395	426	23	remark	remark	VERB
ejpam-3395	426	24	2	2	NUM
ejpam-3395	426	25	.	.	PUNCT
ejpam-3395	427	1	if	if	SCONJ
ejpam-3395	427	2	st	st	PROPN
ejpam-3395	427	3	satisfy	satisfy	VERB
ejpam-3395	427	4	the	the	DET
ejpam-3395	427	5	stock	stock	NOUN
ejpam-3395	427	6	price	price	NOUN
ejpam-3395	427	7	of	of	ADP
ejpam-3395	427	8	the	the	DET
ejpam-3395	427	9	mfh	mfh	PROPN
ejpam-3395	427	10	model	model	NOUN
ejpam-3395	427	11	,	,	PUNCT
ejpam-3395	427	12	then	then	ADV
ejpam-3395	427	13	e|st|2	e|st|2	VERB
ejpam-3395	427	14	<	<	X
ejpam-3395	427	15	∞.	∞.	PROPN
ejpam-3395	427	16	4	4	NUM
ejpam-3395	427	17	.	.	PUNCT
ejpam-3395	428	1	american	american	PROPN
ejpam-3395	428	2	put	put	NOUN
ejpam-3395	428	3	option	option	NOUN
ejpam-3395	428	4	under	under	ADP
ejpam-3395	428	5	mfh	mfh	PROPN
ejpam-3395	428	6	model	model	NOUN
ejpam-3395	428	7	in	in	ADP
ejpam-3395	428	8	mathematical	mathematical	ADJ
ejpam-3395	428	9	finance	finance	NOUN
ejpam-3395	428	10	,	,	PUNCT
ejpam-3395	428	11	monte	monte	PROPN
ejpam-3395	428	12	carlo	carlo	PROPN
ejpam-3395	428	13	simulation	simulation	PROPN
ejpam-3395	428	14	methods	method	NOUN
ejpam-3395	428	15	are	be	AUX
ejpam-3395	428	16	best	good	ADJ
ejpam-3395	428	17	ways	way	NOUN
ejpam-3395	428	18	for	for	ADP
ejpam-3395	428	19	pricing	price	VERB
ejpam-3395	428	20	the	the	DET
ejpam-3395	428	21	american	american	ADJ
ejpam-3395	428	22	option	option	NOUN
ejpam-3395	428	23	.	.	PUNCT
ejpam-3395	429	1	the	the	DET
ejpam-3395	429	2	benefit	benefit	NOUN
ejpam-3395	429	3	of	of	ADP
ejpam-3395	429	4	the	the	DET
ejpam-3395	429	5	monte	monte	PROPN
ejpam-3395	429	6	carlo	carlo	PROPN
ejpam-3395	429	7	simulation	simulation	PROPN
ejpam-3395	429	8	method	method	NOUN
ejpam-3395	429	9	is	be	AUX
ejpam-3395	429	10	to	to	PART
ejpam-3395	429	11	trade	trade	VERB
ejpam-3395	429	12	with	with	ADP
ejpam-3395	429	13	dependent	dependent	ADJ
ejpam-3395	429	14	options	option	NOUN
ejpam-3395	429	15	.	.	PUNCT
ejpam-3395	430	1	this	this	DET
ejpam-3395	430	2	method	method	NOUN
ejpam-3395	430	3	can	can	AUX
ejpam-3395	430	4	simulate	simulate	VERB
ejpam-3395	430	5	the	the	DET
ejpam-3395	430	6	underlying	underlie	VERB
ejpam-3395	430	7	asset	asset	NOUN
ejpam-3395	430	8	price	price	NOUN
ejpam-3395	430	9	path	path	NOUN
ejpam-3395	430	10	by	by	ADP
ejpam-3395	430	11	path	path	NOUN
ejpam-3395	430	12	,	,	PUNCT
ejpam-3395	430	13	then	then	ADV
ejpam-3395	430	14	obtain	obtain	VERB
ejpam-3395	430	15	the	the	DET
ejpam-3395	430	16	payoff	payoff	NOUN
ejpam-3395	430	17	associated	associate	VERB
ejpam-3395	430	18	with	with	ADP
ejpam-3395	430	19	the	the	DET
ejpam-3395	430	20	data	datum	NOUN
ejpam-3395	430	21	for	for	ADP
ejpam-3395	430	22	each	each	DET
ejpam-3395	430	23	simulated	simulate	VERB
ejpam-3395	430	24	path	path	NOUN
ejpam-3395	430	25	and	and	CCONJ
ejpam-3395	430	26	using	use	VERB
ejpam-3395	430	27	the	the	DET
ejpam-3395	430	28	average	average	NOUN
ejpam-3395	430	29	discounted	discount	VERB
ejpam-3395	430	30	payoff	payoff	NOUN
ejpam-3395	430	31	to	to	PART
ejpam-3395	430	32	approach	approach	VERB
ejpam-3395	430	33	the	the	DET
ejpam-3395	430	34	expected	expect	VERB
ejpam-3395	430	35	discounted	discount	VERB
ejpam-3395	430	36	payoff	payoff	NOUN
ejpam-3395	430	37	which	which	PRON
ejpam-3395	430	38	is	be	AUX
ejpam-3395	430	39	the	the	DET
ejpam-3395	430	40	value	value	NOUN
ejpam-3395	430	41	of	of	ADP
ejpam-3395	430	42	path	path	NOUN
ejpam-3395	430	43	dependent	dependent	ADJ
ejpam-3395	430	44	option	option	NOUN
ejpam-3395	430	45	.	.	PUNCT
ejpam-3395	431	1	least	least	ADJ
ejpam-3395	431	2	squares	square	NOUN
ejpam-3395	431	3	monte	monte	PROPN
ejpam-3395	431	4	carlos	carlos	PROPN
ejpam-3395	431	5	method	method	PROPN
ejpam-3395	431	6	(	(	PUNCT
ejpam-3395	431	7	in	in	ADP
ejpam-3395	431	8	short	short	ADJ
ejpam-3395	431	9	lsm	lsm	PROPN
ejpam-3395	431	10	)	)	PUNCT
ejpam-3395	431	11	is	be	AUX
ejpam-3395	431	12	more	more	ADV
ejpam-3395	431	13	suitable	suitable	ADJ
ejpam-3395	431	14	for	for	ADP
ejpam-3395	431	15	problems	problem	NOUN
ejpam-3395	431	16	in	in	ADP
ejpam-3395	431	17	higher	high	ADJ
ejpam-3395	431	18	dimensions	dimension	NOUN
ejpam-3395	431	19	than	than	SCONJ
ejpam-3395	431	20	oder	oder	ADJ
ejpam-3395	431	21	comparable	comparable	ADJ
ejpam-3395	431	22	monte	monte	PROPN
ejpam-3395	431	23	carlos	carlos	PROPN
ejpam-3395	431	24	method	method	VERB
ejpam-3395	432	1	[	[	X
ejpam-3395	432	2	6	6	NUM
ejpam-3395	432	3	]	]	PUNCT
ejpam-3395	432	4	,	,	PUNCT
ejpam-3395	432	5	[	[	X
ejpam-3395	432	6	8	8	NUM
ejpam-3395	432	7	]	]	PUNCT
ejpam-3395	432	8	.	.	PUNCT
ejpam-3395	433	1	d.	d.	PROPN
ejpam-3395	433	2	a.	a.	PROPN
ejpam-3395	433	3	n.	n.	PROPN
ejpam-3395	433	4	njamen	njamen	PROPN
ejpam-3395	433	5	,	,	PUNCT
ejpam-3395	433	6	e.	e.	PROPN
ejpam-3395	433	7	djeutcha	djeutcha	PROPN
ejpam-3395	433	8	/	/	SYM
ejpam-3395	433	9	eur	eur	PROPN
ejpam-3395	433	10	.	.	PUNCT
ejpam-3395	434	1	j.	j.	PROPN
ejpam-3395	434	2	pure	pure	PROPN
ejpam-3395	434	3	appl	appl	PROPN
ejpam-3395	434	4	.	.	PROPN
ejpam-3395	434	5	math	math	PROPN
ejpam-3395	434	6	,	,	PUNCT
ejpam-3395	434	7	12	12	NUM
ejpam-3395	434	8	(	(	PUNCT
ejpam-3395	434	9	2	2	NUM
ejpam-3395	434	10	)	)	PUNCT
ejpam-3395	434	11	(	(	PUNCT
ejpam-3395	434	12	2019	2019	NUM
ejpam-3395	434	13	)	)	PUNCT
ejpam-3395	434	14	,	,	PUNCT
ejpam-3395	434	15	448	448	NUM
ejpam-3395	434	16	-	-	SYM
ejpam-3395	434	17	468	468	NUM
ejpam-3395	434	18	463	463	NUM
ejpam-3395	434	19	4.1	4.1	NUM
ejpam-3395	434	20	.	.	PUNCT
ejpam-3395	435	1	lsm	lsm	PROPN
ejpam-3395	435	2	algorithm	algorithm	PROPN
ejpam-3395	435	3	in	in	ADP
ejpam-3395	435	4	the	the	DET
ejpam-3395	435	5	lsm	lsm	PROPN
ejpam-3395	435	6	approach	approach	NOUN
ejpam-3395	435	7	,	,	PUNCT
ejpam-3395	435	8	in	in	ADP
ejpam-3395	435	9	order	order	NOUN
ejpam-3395	435	10	to	to	PART
ejpam-3395	435	11	have	have	AUX
ejpam-3395	435	12	a	a	DET
ejpam-3395	435	13	better	well	ADJ
ejpam-3395	435	14	price	price	NOUN
ejpam-3395	435	15	,	,	PUNCT
ejpam-3395	435	16	we	we	PRON
ejpam-3395	435	17	only	only	ADV
ejpam-3395	435	18	recognize	recognize	VERB
ejpam-3395	435	19	the	the	DET
ejpam-3395	435	20	in	in	ADP
ejpam-3395	435	21	-	-	PUNCT
ejpam-3395	435	22	the	the	DET
ejpam-3395	435	23	-	-	PUNCT
ejpam-3395	435	24	money	money	NOUN
ejpam-3395	435	25	paths	path	NOUN
ejpam-3395	435	26	.	.	PUNCT
ejpam-3395	436	1	the	the	DET
ejpam-3395	436	2	lsm	lsm	PROPN
ejpam-3395	436	3	algorithm	algorithm	PROPN
ejpam-3395	436	4	is	be	AUX
ejpam-3395	436	5	given	give	VERB
ejpam-3395	436	6	as	as	ADP
ejpam-3395	436	7	follows	follow	NOUN
ejpam-3395	436	8	,	,	PUNCT
ejpam-3395	436	9	algoritheorem	algoritheorem	VERB
ejpam-3395	436	10	2	2	NUM
ejpam-3395	436	11	.	.	PUNCT
ejpam-3395	437	1	lsm	lsm	PROPN
ejpam-3395	437	2	algorithm	algorithm	PROPN
ejpam-3395	437	3	(	(	PUNCT
ejpam-3395	437	4	i	i	NOUN
ejpam-3395	437	5	)	)	PUNCT
ejpam-3395	437	6	set	set	VERB
ejpam-3395	437	7	sj	sj	PROPN
ejpam-3395	437	8	mfh	mfh	PROPN
ejpam-3395	437	9	model	model	NOUN
ejpam-3395	437	10	asset	asset	NOUN
ejpam-3395	437	11	path	path	NOUN
ejpam-3395	437	12	.	.	PUNCT
ejpam-3395	438	1	(	(	PUNCT
ejpam-3395	438	2	ii	ii	NOUN
ejpam-3395	438	3	)	)	PUNCT
ejpam-3395	438	4	if	if	SCONJ
ejpam-3395	438	5	sj	sj	PROPN
ejpam-3395	438	6	<	<	X
ejpam-3395	438	7	e.	e.	PROPN
ejpam-3395	438	8	(	(	PUNCT
ejpam-3395	438	9	iii	iii	PROPN
ejpam-3395	438	10	)	)	PUNCT
ejpam-3395	438	11	set	set	NOUN
ejpam-3395	438	12	cashflow(j	cashflow(j	NOUN
ejpam-3395	438	13	)	)	PUNCT
ejpam-3395	438	14	=	=	SYM
ejpam-3395	438	15	(	(	PUNCT
ejpam-3395	438	16	e	e	X
ejpam-3395	438	17	−	−	PROPN
ejpam-3395	438	18	sj)e−rδt	sj)e−rδt	PROPN
ejpam-3395	438	19	,	,	PUNCT
ejpam-3395	438	20	j	j	PROPN
ejpam-3395	438	21	=	=	SYM
ejpam-3395	438	22	1	1	NUM
ejpam-3395	438	23	,	,	PUNCT
ejpam-3395	438	24	.	.	PUNCT
ejpam-3395	438	25	.	.	PUNCT
ejpam-3395	438	26	.	.	PUNCT
ejpam-3395	439	1	,	,	PUNCT
ejpam-3395	439	2	number	number	NOUN
ejpam-3395	439	3	of	of	ADP
ejpam-3395	439	4	paths	path	NOUN
ejpam-3395	439	5	.	.	PUNCT
ejpam-3395	440	1	(	(	PUNCT
ejpam-3395	440	2	iv	iv	X
ejpam-3395	440	3	)	)	PUNCT
ejpam-3395	440	4	else	else	ADV
ejpam-3395	440	5	cashflow(j	cashflow(j	PROPN
ejpam-3395	440	6	)	)	PUNCT
ejpam-3395	441	1	=	=	SYM
ejpam-3395	441	2	0	0	X
ejpam-3395	441	3	.	.	PUNCT
ejpam-3395	442	1	(	(	PUNCT
ejpam-3395	442	2	v	v	NOUN
ejpam-3395	442	3	)	)	PUNCT
ejpam-3395	442	4	end	end	NOUN
ejpam-3395	442	5	if	if	SCONJ
ejpam-3395	442	6	.	.	PUNCT
ejpam-3395	443	1	(	(	PUNCT
ejpam-3395	443	2	vi	vi	NOUN
ejpam-3395	443	3	)	)	PUNCT
ejpam-3395	443	4	for	for	ADP
ejpam-3395	443	5	j	j	PROPN
ejpam-3395	443	6	=	=	SYM
ejpam-3395	443	7	n	n	PROPN
ejpam-3395	443	8	1	1	NUM
ejpam-3395	443	9	:	:	PUNCT
ejpam-3395	443	10	-1	-1	PUNCT
ejpam-3395	443	11	:	:	PUNCT
ejpam-3395	443	12	1	1	X
ejpam-3395	443	13	.	.	X
ejpam-3395	443	14	(	(	PUNCT
ejpam-3395	443	15	vii	vii	PROPN
ejpam-3395	443	16	)	)	PUNCT
ejpam-3395	443	17	set	set	VERB
ejpam-3395	443	18	index	index	NOUN
ejpam-3395	443	19	=	=	NOUN
ejpam-3395	443	20	find(e	find(e	NOUN
ejpam-3395	443	21	−	−	PROPN
ejpam-3395	443	22	sj	sj	INTJ
ejpam-3395	443	23	>	>	X
ejpam-3395	443	24	0	0	NUM
ejpam-3395	443	25	)	)	PUNCT
ejpam-3395	443	26	.	.	PUNCT
ejpam-3395	444	1	(	(	PUNCT
ejpam-3395	444	2	viii	viii	NOUN
ejpam-3395	444	3	)	)	PUNCT
ejpam-3395	444	4	set	set	NOUN
ejpam-3395	444	5	x	x	X
ejpam-3395	445	1	=	=	PUNCT
ejpam-3395	446	1	[	[	X
ejpam-3395	446	2	ons(size(index))s(index)(s(index))2	ons(size(index))s(index)(s(index))2	NOUN
ejpam-3395	446	3	]	]	PUNCT
ejpam-3395	446	4	.	.	PUNCT
ejpam-3395	447	1	(	(	PUNCT
ejpam-3395	447	2	ix	ix	ADV
ejpam-3395	447	3	)	)	PUNCT
ejpam-3395	447	4	set	set	NOUN
ejpam-3395	447	5	b	b	NOUN
ejpam-3395	447	6	=	=	SYM
ejpam-3395	447	7	(	(	PUNCT
ejpam-3395	447	8	xtx	xtx	PROPN
ejpam-3395	447	9	)	)	PUNCT
ejpam-3395	447	10	1	1	NUM
ejpam-3395	447	11	2xcashflow(index	2xcashflow(index	NUM
ejpam-3395	447	12	)	)	PUNCT
ejpam-3395	447	13	.	.	PUNCT
ejpam-3395	448	1	(	(	PUNCT
ejpam-3395	448	2	x	x	X
ejpam-3395	448	3	)	)	PUNCT
ejpam-3395	448	4	set	set	VERB
ejpam-3395	448	5	conditional	conditional	ADJ
ejpam-3395	448	6	exp	exp	NOUN
ejpam-3395	448	7	=	=	PROPN
ejpam-3395	448	8	xb	xb	PROPN
ejpam-3395	448	9	.	.	PUNCT
ejpam-3395	449	1	(	(	PUNCT
ejpam-3395	449	2	xi	xi	X
ejpam-3395	449	3	)	)	PUNCT
ejpam-3395	449	4	if	if	SCONJ
ejpam-3395	449	5	conditional	conditional	ADJ
ejpam-3395	449	6	exp	exp	NOUN
ejpam-3395	449	7	<	<	X
ejpam-3395	449	8	−e	−e	NOUN
ejpam-3395	450	1	−	−	PROPN
ejpam-3395	450	2	sj	sj	INTJ
ejpam-3395	450	3	,	,	PUNCT
ejpam-3395	450	4	j	j	PROPN
ejpam-3395	450	5	=	=	SYM
ejpam-3395	450	6	1	1	NUM
ejpam-3395	450	7	:	:	PUNCT
ejpam-3395	450	8	size(index,1	size(index,1	NOUN
ejpam-3395	450	9	)	)	PUNCT
ejpam-3395	450	10	.	.	PUNCT
ejpam-3395	451	1	(	(	PUNCT
ejpam-3395	451	2	xii	xii	NOUN
ejpam-3395	451	3	)	)	PUNCT
ejpam-3395	451	4	set	set	VERB
ejpam-3395	451	5	cashflow	cashflow	ADJ
ejpam-3395	451	6	(	(	PUNCT
ejpam-3395	451	7	index(j))=	index(j))=	PROPN
ejpam-3395	451	8	(	(	PUNCT
ejpam-3395	451	9	e	e	NOUN
ejpam-3395	451	10	−	−	NOUN
ejpam-3395	451	11	sj),j	sj),j	PROPN
ejpam-3395	451	12	=	=	SYM
ejpam-3395	451	13	1	1	NUM
ejpam-3395	451	14	:	:	PUNCT
ejpam-3395	451	15	size(index,1	size(index,1	NOUN
ejpam-3395	451	16	)	)	PUNCT
ejpam-3395	451	17	.	.	PUNCT
ejpam-3395	452	1	(	(	PUNCT
ejpam-3395	452	2	xiii	xiii	X
ejpam-3395	452	3	)	)	PUNCT
ejpam-3395	452	4	end	end	NOUN
ejpam-3395	452	5	if	if	SCONJ
ejpam-3395	452	6	.	.	PUNCT
ejpam-3395	453	1	(	(	PUNCT
ejpam-3395	453	2	xiv	xiv	NOUN
ejpam-3395	453	3	)	)	PUNCT
ejpam-3395	453	4	set	set	VERB
ejpam-3395	453	5	cashflow	cashflow	ADJ
ejpam-3395	453	6	=	=	SYM
ejpam-3395	453	7	cashflow	cashflow	ADJ
ejpam-3395	453	8	e(−rδt	e(−rδt	PROPN
ejpam-3395	453	9	)	)	PUNCT
ejpam-3395	453	10	.	.	PUNCT
ejpam-3395	454	1	(	(	PUNCT
ejpam-3395	454	2	xv	xv	PROPN
ejpam-3395	454	3	)	)	PUNCT
ejpam-3395	454	4	end	end	VERB
ejpam-3395	454	5	if	if	SCONJ
ejpam-3395	454	6	.	.	PUNCT
ejpam-3395	455	1	(	(	PUNCT
ejpam-3395	455	2	xvi	xvi	X
ejpam-3395	455	3	)	)	PUNCT
ejpam-3395	455	4	set	set	VERB
ejpam-3395	455	5	american	american	ADJ
ejpam-3395	455	6	put	put	NOUN
ejpam-3395	455	7	option	option	NOUN
ejpam-3395	455	8	=	=	SYM
ejpam-3395	455	9	mean(cashflow	mean(cashflow	NOUN
ejpam-3395	455	10	)	)	PUNCT
ejpam-3395	455	11	.	.	PUNCT
ejpam-3395	456	1	we	we	PRON
ejpam-3395	456	2	apply	apply	VERB
ejpam-3395	456	3	the	the	DET
ejpam-3395	456	4	above	above	ADJ
ejpam-3395	456	5	lsm	lsm	PROPN
ejpam-3395	456	6	algorithm	algorithm	PROPN
ejpam-3395	456	7	for	for	ADP
ejpam-3395	456	8	pricing	price	VERB
ejpam-3395	456	9	american	american	ADJ
ejpam-3395	456	10	put	put	NOUN
ejpam-3395	456	11	option	option	NOUN
ejpam-3395	456	12	when	when	SCONJ
ejpam-3395	456	13	the	the	DET
ejpam-3395	456	14	underlying	underlie	VERB
ejpam-3395	456	15	stock	stock	NOUN
ejpam-3395	456	16	price	price	NOUN
ejpam-3395	456	17	follows	follow	VERB
ejpam-3395	456	18	the	the	DET
ejpam-3395	456	19	mfh	mfh	PROPN
ejpam-3395	456	20	model	model	NOUN
ejpam-3395	456	21	.	.	PUNCT
ejpam-3395	457	1	the	the	DET
ejpam-3395	457	2	details	detail	NOUN
ejpam-3395	457	3	of	of	ADP
ejpam-3395	457	4	lsm	lsm	PROPN
ejpam-3395	457	5	algorithm	algorithm	PROPN
ejpam-3395	457	6	can	can	AUX
ejpam-3395	457	7	be	be	AUX
ejpam-3395	457	8	found	find	VERB
ejpam-3395	457	9	in	in	ADP
ejpam-3395	457	10	[	[	X
ejpam-3395	457	11	21	21	NUM
ejpam-3395	457	12	]	]	PUNCT
ejpam-3395	457	13	.	.	PUNCT
ejpam-3395	458	1	the	the	DET
ejpam-3395	458	2	concept	concept	NOUN
ejpam-3395	458	3	of	of	ADP
ejpam-3395	458	4	the	the	DET
ejpam-3395	458	5	put	put	NOUN
ejpam-3395	458	6	option	option	NOUN
ejpam-3395	458	7	is	be	AUX
ejpam-3395	458	8	related	relate	VERB
ejpam-3395	458	9	to	to	ADP
ejpam-3395	458	10	stopping	stop	VERB
ejpam-3395	458	11	time	time	NOUN
ejpam-3395	458	12	process	process	NOUN
ejpam-3395	458	13	.	.	PUNCT
ejpam-3395	459	1	indeed	indeed	ADV
ejpam-3395	459	2	,	,	PUNCT
ejpam-3395	459	3	it	it	PRON
ejpam-3395	459	4	can	can	AUX
ejpam-3395	459	5	be	be	AUX
ejpam-3395	459	6	expired	expire	VERB
ejpam-3395	459	7	at	at	ADP
ejpam-3395	459	8	any	any	DET
ejpam-3395	459	9	time	time	NOUN
ejpam-3395	459	10	until	until	ADP
ejpam-3395	459	11	expiration	expiration	NOUN
ejpam-3395	459	12	date	date	NOUN
ejpam-3395	459	13	.	.	PUNCT
ejpam-3395	460	1	let	let	VERB
ejpam-3395	460	2	θ	θ	NOUN
ejpam-3395	460	3	be	be	AUX
ejpam-3395	460	4	a	a	DET
ejpam-3395	460	5	set	set	NOUN
ejpam-3395	460	6	of	of	ADP
ejpam-3395	460	7	stopping	stop	VERB
ejpam-3395	460	8	times	time	NOUN
ejpam-3395	460	9	and	and	CCONJ
ejpam-3395	460	10	st	st	PROPN
ejpam-3395	460	11	be	be	AUX
ejpam-3395	460	12	a	a	DET
ejpam-3395	460	13	stock	stock	NOUN
ejpam-3395	460	14	price	price	NOUN
ejpam-3395	460	15	.	.	PUNCT
ejpam-3395	461	1	the	the	DET
ejpam-3395	461	2	price	price	NOUN
ejpam-3395	461	3	of	of	ADP
ejpam-3395	461	4	the	the	DET
ejpam-3395	461	5	american	american	ADJ
ejpam-3395	461	6	put	put	NOUN
ejpam-3395	461	7	option	option	NOUN
ejpam-3395	461	8	is	be	AUX
ejpam-3395	461	9	defined	define	VERB
ejpam-3395	461	10	as	as	SCONJ
ejpam-3395	461	11	follows	follow	VERB
ejpam-3395	461	12	p	p	PROPN
ejpam-3395	461	13	(	(	PUNCT
ejpam-3395	461	14	τ	τ	PROPN
ejpam-3395	461	15	,	,	PUNCT
ejpam-3395	461	16	s(τ	s(τ	PROPN
ejpam-3395	461	17	)	)	PUNCT
ejpam-3395	461	18	)	)	PUNCT
ejpam-3395	462	1	=	=	SYM
ejpam-3395	462	2	sup	sup	NOUN
ejpam-3395	462	3	{	{	PUNCT
ejpam-3395	462	4	e	e	X
ejpam-3395	462	5	[	[	PUNCT
ejpam-3395	462	6	e−rτ	e−rτ	PROPN
ejpam-3395	462	7	(	(	PUNCT
ejpam-3395	462	8	e	e	X
ejpam-3395	462	9	−	−	PROPN
ejpam-3395	462	10	s(τ	s(τ	PROPN
ejpam-3395	462	11	)	)	PUNCT
ejpam-3395	462	12	)	)	PUNCT
ejpam-3395	463	1	+	+	CCONJ
ejpam-3395	463	2	]	]	X
ejpam-3395	463	3	}	}	PUNCT
ejpam-3395	463	4	,	,	PUNCT
ejpam-3395	463	5	τ	τ	PROPN
ejpam-3395	463	6	∈	∈	PROPN
ejpam-3395	463	7	θ	θ	PROPN
ejpam-3395	463	8	,	,	PUNCT
ejpam-3395	463	9	(	(	PUNCT
ejpam-3395	463	10	88	88	NUM
ejpam-3395	463	11	)	)	PUNCT
ejpam-3395	463	12	where	where	SCONJ
ejpam-3395	463	13	s(0	s(0	PROPN
ejpam-3395	463	14	)	)	PUNCT
ejpam-3395	463	15	is	be	AUX
ejpam-3395	463	16	initial	initial	ADJ
ejpam-3395	463	17	stock	stock	NOUN
ejpam-3395	463	18	price	price	NOUN
ejpam-3395	463	19	.	.	PUNCT
ejpam-3395	464	1	if	if	SCONJ
ejpam-3395	464	2	τ	τ	PROPN
ejpam-3395	464	3	=	=	PUNCT
ejpam-3395	464	4	+	+	NOUN
ejpam-3395	464	5	∞	∞	PROPN
ejpam-3395	464	6	,	,	PUNCT
ejpam-3395	464	7	then	then	ADV
ejpam-3395	464	8	the	the	DET
ejpam-3395	464	9	value	value	NOUN
ejpam-3395	464	10	of	of	ADP
ejpam-3395	464	11	the	the	DET
ejpam-3395	464	12	american	american	ADJ
ejpam-3395	464	13	put	put	NOUN
ejpam-3395	464	14	option	option	NOUN
ejpam-3395	464	15	is	be	AUX
ejpam-3395	464	16	zero	zero	NUM
ejpam-3395	464	17	.	.	PUNCT
ejpam-3395	465	1	here	here	ADV
ejpam-3395	465	2	,	,	PUNCT
ejpam-3395	465	3	we	we	PRON
ejpam-3395	465	4	investigate	investigate	VERB
ejpam-3395	465	5	the	the	DET
ejpam-3395	465	6	value	value	NOUN
ejpam-3395	465	7	of	of	ADP
ejpam-3395	465	8	the	the	DET
ejpam-3395	465	9	american	american	ADJ
ejpam-3395	465	10	put	put	NOUN
ejpam-3395	465	11	option	option	NOUN
ejpam-3395	465	12	of	of	ADP
ejpam-3395	465	13	the	the	DET
ejpam-3395	465	14	mfh	mfh	PROPN
ejpam-3395	465	15	model	model	NOUN
ejpam-3395	465	16	by	by	ADP
ejpam-3395	465	17	considering	consider	VERB
ejpam-3395	465	18	different	different	ADJ
ejpam-3395	465	19	values	value	NOUN
ejpam-3395	465	20	of	of	ADP
ejpam-3395	465	21	the	the	DET
ejpam-3395	465	22	expiration	expiration	NOUN
ejpam-3395	465	23	date	date	NOUN
ejpam-3395	465	24	and	and	CCONJ
ejpam-3395	465	25	a	a	DET
ejpam-3395	465	26	,	,	PUNCT
ejpam-3395	465	27	b	b	PROPN
ejpam-3395	465	28	parameter	parameter	NOUN
ejpam-3395	465	29	.	.	PUNCT
ejpam-3395	466	1	d.	d.	PROPN
ejpam-3395	466	2	a.	a.	PROPN
ejpam-3395	466	3	n.	n.	PROPN
ejpam-3395	466	4	njamen	njamen	PROPN
ejpam-3395	466	5	,	,	PUNCT
ejpam-3395	466	6	e.	e.	PROPN
ejpam-3395	466	7	djeutcha	djeutcha	PROPN
ejpam-3395	466	8	/	/	SYM
ejpam-3395	466	9	eur	eur	PROPN
ejpam-3395	466	10	.	.	PUNCT
ejpam-3395	467	1	j.	j.	PROPN
ejpam-3395	467	2	pure	pure	PROPN
ejpam-3395	467	3	appl	appl	PROPN
ejpam-3395	467	4	.	.	PROPN
ejpam-3395	467	5	math	math	PROPN
ejpam-3395	467	6	,	,	PUNCT
ejpam-3395	467	7	12	12	NUM
ejpam-3395	467	8	(	(	PUNCT
ejpam-3395	467	9	2	2	NUM
ejpam-3395	467	10	)	)	PUNCT
ejpam-3395	467	11	(	(	PUNCT
ejpam-3395	467	12	2019	2019	NUM
ejpam-3395	467	13	)	)	PUNCT
ejpam-3395	467	14	,	,	PUNCT
ejpam-3395	467	15	448	448	NUM
ejpam-3395	467	16	-	-	SYM
ejpam-3395	467	17	468	468	NUM
ejpam-3395	467	18	464	464	NUM
ejpam-3395	467	19	4.2	4.2	NUM
ejpam-3395	467	20	.	.	PUNCT
ejpam-3395	468	1	experimental	experimental	ADJ
ejpam-3395	468	2	results	result	NOUN
ejpam-3395	468	3	in	in	ADP
ejpam-3395	468	4	this	this	DET
ejpam-3395	468	5	section	section	NOUN
ejpam-3395	468	6	,	,	PUNCT
ejpam-3395	468	7	we	we	PRON
ejpam-3395	468	8	present	present	VERB
ejpam-3395	468	9	some	some	DET
ejpam-3395	468	10	numerical	numerical	ADJ
ejpam-3395	468	11	results	result	NOUN
ejpam-3395	468	12	for	for	ADP
ejpam-3395	468	13	the	the	DET
ejpam-3395	468	14	institution	institution	NOUN
ejpam-3395	468	15	the	the	DET
ejpam-3395	468	16	price	price	NOUN
ejpam-3395	468	17	of	of	ADP
ejpam-3395	468	18	the	the	DET
ejpam-3395	468	19	american	american	ADJ
ejpam-3395	468	20	put	put	NOUN
ejpam-3395	468	21	option	option	NOUN
ejpam-3395	468	22	of	of	ADP
ejpam-3395	468	23	the	the	DET
ejpam-3395	468	24	mfh	mfh	PROPN
ejpam-3395	468	25	model	model	NOUN
ejpam-3395	468	26	by	by	ADP
ejpam-3395	468	27	using	use	VERB
ejpam-3395	468	28	the	the	DET
ejpam-3395	468	29	above	above	ADJ
ejpam-3395	468	30	lsm	lsm	PROPN
ejpam-3395	468	31	algorithm	algorithm	PROPN
ejpam-3395	468	32	.	.	PUNCT
ejpam-3395	469	1	we	we	PRON
ejpam-3395	469	2	first	first	ADV
ejpam-3395	469	3	simulate	simulate	VERB
ejpam-3395	469	4	the	the	DET
ejpam-3395	469	5	price	price	NOUN
ejpam-3395	469	6	of	of	ADP
ejpam-3395	469	7	the	the	DET
ejpam-3395	469	8	action	action	NOUN
ejpam-3395	469	9	,	,	PUNCT
ejpam-3395	469	10	the	the	DET
ejpam-3395	469	11	paths	path	NOUN
ejpam-3395	469	12	based	base	VERB
ejpam-3395	469	13	on	on	ADP
ejpam-3395	469	14	the	the	DET
ejpam-3395	469	15	euler	euler	PROPN
ejpam-3395	469	16	scheme	scheme	PROPN
ejpam-3395	469	17	described	describe	VERB
ejpam-3395	469	18	in	in	ADP
ejpam-3395	469	19	subsection	subsection	NOUN
ejpam-3395	469	20	3.2	3.2	NUM
ejpam-3395	469	21	.	.	PUNCT
ejpam-3395	470	1	we	we	PRON
ejpam-3395	470	2	use	use	VERB
ejpam-3395	470	3	the	the	DET
ejpam-3395	470	4	parameters	parameter	NOUN
ejpam-3395	470	5	given	give	VERB
ejpam-3395	470	6	in	in	ADP
ejpam-3395	470	7	the	the	DET
ejpam-3395	470	8	table	table	NOUN
ejpam-3395	470	9	1	1	NUM
ejpam-3395	470	10	for	for	ADP
ejpam-3395	470	11	the	the	DET
ejpam-3395	470	12	price	price	NOUN
ejpam-3395	470	13	of	of	ADP
ejpam-3395	470	14	the	the	DET
ejpam-3395	470	15	american	american	ADJ
ejpam-3395	470	16	put	put	NOUN
ejpam-3395	470	17	option	option	NOUN
ejpam-3395	470	18	under	under	ADP
ejpam-3395	470	19	the	the	DET
ejpam-3395	470	20	mfh	mfh	PROPN
ejpam-3395	470	21	model	model	NOUN
ejpam-3395	470	22	.	.	PUNCT
ejpam-3395	471	1	by	by	ADP
ejpam-3395	471	2	applying	apply	VERB
ejpam-3395	471	3	the	the	DET
ejpam-3395	471	4	algorithm	algorithm	NOUN
ejpam-3395	471	5	1	1	NUM
ejpam-3395	471	6	and	and	CCONJ
ejpam-3395	471	7	2	2	NUM
ejpam-3395	471	8	,	,	PUNCT
ejpam-3395	471	9	we	we	PRON
ejpam-3395	471	10	get	get	VERB
ejpam-3395	471	11	the	the	DET
ejpam-3395	471	12	following	follow	VERB
ejpam-3395	471	13	results	result	NOUN
ejpam-3395	471	14	for	for	ADP
ejpam-3395	471	15	differents	different	NOUN
ejpam-3395	471	16	value	value	NOUN
ejpam-3395	471	17	of	of	ADP
ejpam-3395	471	18	hurst	hurst	PROPN
ejpam-3395	471	19	parameters	parameter	NOUN
ejpam-3395	471	20	h	h	VERB
ejpam-3395	471	21	such	such	ADJ
ejpam-3395	471	22	that	that	SCONJ
ejpam-3395	471	23	h	h	NOUN
ejpam-3395	471	24	∈	∈	NOUN
ejpam-3395	471	25	(	(	PUNCT
ejpam-3395	471	26	3	3	NUM
ejpam-3395	471	27	4	4	NUM
ejpam-3395	471	28	,	,	PUNCT
ejpam-3395	471	29	1	1	NUM
ejpam-3395	471	30	]	]	PUNCT
ejpam-3395	471	31	:	:	PUNCT
ejpam-3395	471	32	a	a	DET
ejpam-3395	471	33	b	b	NOUN
ejpam-3395	471	34	2	2	NUM
ejpam-3395	471	35	3	3	NUM
ejpam-3395	471	36	0.1	0.1	NUM
ejpam-3395	471	37	mfh	mfh	NOUN
ejpam-3395	471	38	49.7453	49.7453	NUM
ejpam-3395	471	39	49.6720	49.6720	NUM
ejpam-3395	471	40	0.2	0.2	NUM
ejpam-3395	472	1	hm	hm	PRON
ejpam-3395	472	2	49.5860	49.5860	NUM
ejpam-3395	472	3	49.6969	49.6969	NUM
ejpam-3395	472	4	table	table	NOUN
ejpam-3395	472	5	2	2	NUM
ejpam-3395	472	6	:	:	PUNCT
ejpam-3395	472	7	comparison	comparison	NOUN
ejpam-3395	472	8	of	of	ADP
ejpam-3395	472	9	american	american	ADJ
ejpam-3395	472	10	put	put	NOUN
ejpam-3395	472	11	option	option	NOUN
ejpam-3395	472	12	using	use	VERB
ejpam-3395	472	13	mfh	mfh	NOUN
ejpam-3395	472	14	models	model	NOUN
ejpam-3395	472	15	as	as	ADP
ejpam-3395	472	16	function	function	NOUN
ejpam-3395	472	17	of	of	ADP
ejpam-3395	472	18	s0	s0	PROPN
ejpam-3395	472	19	and	and	CCONJ
ejpam-3395	472	20	v0	v0	NOUN
ejpam-3395	472	21	for	for	ADP
ejpam-3395	472	22	h=0.76	h=0.76	PROPN
ejpam-3395	472	23	.	.	PUNCT
ejpam-3395	473	1	a	a	DET
ejpam-3395	473	2	b	b	NOUN
ejpam-3395	473	3	2	2	NUM
ejpam-3395	473	4	3	3	NUM
ejpam-3395	473	5	0.1	0.1	NUM
ejpam-3395	473	6	mfh	mfh	PROPN
ejpam-3395	473	7	49.7970	49.7970	NUM
ejpam-3395	473	8	49.6887	49.6887	NUM
ejpam-3395	473	9	0.2	0.2	NUM
ejpam-3395	473	10	hm	hm	INTJ
ejpam-3395	473	11	49.6450	49.6450	NUM
ejpam-3395	473	12	49.7773	49.7773	NUM
ejpam-3395	473	13	table	table	NOUN
ejpam-3395	473	14	3	3	NUM
ejpam-3395	473	15	:	:	PUNCT
ejpam-3395	473	16	comparison	comparison	NOUN
ejpam-3395	473	17	of	of	ADP
ejpam-3395	473	18	american	american	ADJ
ejpam-3395	473	19	put	put	NOUN
ejpam-3395	473	20	option	option	NOUN
ejpam-3395	473	21	using	use	VERB
ejpam-3395	473	22	mfh	mfh	NOUN
ejpam-3395	473	23	models	model	NOUN
ejpam-3395	473	24	and	and	CCONJ
ejpam-3395	473	25	hm	hm	INTJ
ejpam-3395	473	26	as	as	ADP
ejpam-3395	473	27	function	function	NOUN
ejpam-3395	473	28	of	of	ADP
ejpam-3395	473	29	s0	s0	PROPN
ejpam-3395	473	30	and	and	CCONJ
ejpam-3395	473	31	v0	v0	NOUN
ejpam-3395	473	32	for	for	ADP
ejpam-3395	473	33	h=0.77	h=0.77	PRON
ejpam-3395	473	34	.	.	PUNCT
ejpam-3395	474	1	a	a	DET
ejpam-3395	474	2	b	b	NOUN
ejpam-3395	474	3	2	2	NUM
ejpam-3395	474	4	3	3	NUM
ejpam-3395	474	5	0.1	0.1	NUM
ejpam-3395	474	6	mfh	mfh	PROPN
ejpam-3395	474	7	49.7305	49.7305	NUM
ejpam-3395	474	8	49.7286	49.7286	NUM
ejpam-3395	474	9	0.2	0.2	NUM
ejpam-3395	474	10	hm	hm	INTJ
ejpam-3395	474	11	49.5938	49.5938	NUM
ejpam-3395	474	12	49.6614	49.6614	NUM
ejpam-3395	474	13	table	table	NOUN
ejpam-3395	474	14	4	4	NUM
ejpam-3395	474	15	:	:	PUNCT
ejpam-3395	474	16	comparison	comparison	NOUN
ejpam-3395	474	17	of	of	ADP
ejpam-3395	474	18	american	american	ADJ
ejpam-3395	474	19	put	put	NOUN
ejpam-3395	474	20	option	option	NOUN
ejpam-3395	474	21	using	use	VERB
ejpam-3395	474	22	mfh	mfh	NOUN
ejpam-3395	474	23	models	model	NOUN
ejpam-3395	474	24	and	and	CCONJ
ejpam-3395	474	25	hm	hm	INTJ
ejpam-3395	474	26	as	as	ADP
ejpam-3395	474	27	function	function	NOUN
ejpam-3395	474	28	of	of	ADP
ejpam-3395	474	29	s0	s0	PROPN
ejpam-3395	474	30	and	and	CCONJ
ejpam-3395	474	31	v0	v0	NOUN
ejpam-3395	474	32	for	for	ADP
ejpam-3395	474	33	h=0.78	h=0.78	PROPN
ejpam-3395	474	34	.	.	PUNCT
ejpam-3395	475	1	a	a	DET
ejpam-3395	475	2	b	b	NOUN
ejpam-3395	475	3	2	2	NUM
ejpam-3395	475	4	3	3	NUM
ejpam-3395	475	5	0.1	0.1	NUM
ejpam-3395	475	6	mfh	mfh	PROPN
ejpam-3395	475	7	49.7298	49.7298	NUM
ejpam-3395	475	8	49.6620	49.6620	NUM
ejpam-3395	475	9	0.2	0.2	NUM
ejpam-3395	476	1	hm	hm	INTJ
ejpam-3395	476	2	49.9172	49.9172	NUM
ejpam-3395	476	3	49.7155	49.7155	NUM
ejpam-3395	476	4	table	table	NOUN
ejpam-3395	476	5	5	5	NUM
ejpam-3395	476	6	:	:	PUNCT
ejpam-3395	476	7	comparison	comparison	NOUN
ejpam-3395	476	8	of	of	ADP
ejpam-3395	476	9	american	american	ADJ
ejpam-3395	476	10	put	put	NOUN
ejpam-3395	476	11	option	option	NOUN
ejpam-3395	476	12	using	use	VERB
ejpam-3395	476	13	mfh	mfh	PROPN
ejpam-3395	476	14	model	model	NOUN
ejpam-3395	476	15	and	and	CCONJ
ejpam-3395	476	16	hm	hm	INTJ
ejpam-3395	476	17	as	as	ADP
ejpam-3395	476	18	function	function	NOUN
ejpam-3395	476	19	of	of	ADP
ejpam-3395	476	20	s0	s0	PROPN
ejpam-3395	476	21	and	and	CCONJ
ejpam-3395	476	22	v0	v0	NOUN
ejpam-3395	476	23	for	for	ADP
ejpam-3395	476	24	h=0.79	h=0.79	NOUN
ejpam-3395	476	25	in	in	ADP
ejpam-3395	476	26	tables	table	NOUN
ejpam-3395	476	27	2	2	NUM
ejpam-3395	476	28	,	,	PUNCT
ejpam-3395	476	29	3	3	NUM
ejpam-3395	476	30	,	,	PUNCT
ejpam-3395	476	31	4	4	NUM
ejpam-3395	476	32	and	and	CCONJ
ejpam-3395	476	33	5	5	NUM
ejpam-3395	476	34	the	the	DET
ejpam-3395	476	35	results	result	NOUN
ejpam-3395	476	36	are	be	AUX
ejpam-3395	476	37	shown	show	VERB
ejpam-3395	476	38	for	for	ADP
ejpam-3395	476	39	some	some	DET
ejpam-3395	476	40	quantities	quantity	NOUN
ejpam-3395	476	41	of	of	ADP
ejpam-3395	476	42	hurst	hurst	PROPN
ejpam-3395	476	43	parameters	parameters	PROPN
ejpam-3395	476	44	h=0.76	h=0.76	PROPN
ejpam-3395	476	45	,	,	PUNCT
ejpam-3395	476	46	0.77	0.77	NUM
ejpam-3395	476	47	,	,	PUNCT
ejpam-3395	476	48	0.78,0.79	0.78,0.79	NOUN
ejpam-3395	476	49	.	.	PUNCT
ejpam-3395	477	1	we	we	PRON
ejpam-3395	477	2	see	see	VERB
ejpam-3395	477	3	that	that	DET
ejpam-3395	477	4	increase	increase	NOUN
ejpam-3395	477	5	in	in	ADP
ejpam-3395	477	6	the	the	DET
ejpam-3395	477	7	value	value	NOUN
ejpam-3395	477	8	of	of	ADP
ejpam-3395	477	9	the	the	DET
ejpam-3395	477	10	hurst	hurst	PROPN
ejpam-3395	477	11	parameter	parameter	PROPN
ejpam-3395	477	12	leads	lead	VERB
ejpam-3395	477	13	to	to	ADP
ejpam-3395	477	14	a	a	DET
ejpam-3395	477	15	significant	significant	ADJ
ejpam-3395	477	16	increase	increase	NOUN
ejpam-3395	477	17	in	in	ADP
ejpam-3395	477	18	the	the	DET
ejpam-3395	477	19	value	value	NOUN
ejpam-3395	477	20	of	of	ADP
ejpam-3395	477	21	the	the	DET
ejpam-3395	477	22	american	american	ADJ
ejpam-3395	477	23	put	put	NOUN
ejpam-3395	477	24	option	option	NOUN
ejpam-3395	477	25	price	price	NOUN
ejpam-3395	477	26	under	under	ADP
ejpam-3395	477	27	mfh	mfh	PROPN
ejpam-3395	477	28	.	.	PUNCT
ejpam-3395	478	1	a	a	DET
ejpam-3395	478	2	b	b	NOUN
ejpam-3395	478	3	2	2	NUM
ejpam-3395	478	4	3	3	NUM
ejpam-3395	478	5	0.1	0.1	NUM
ejpam-3395	478	6	mfh	mfh	PROPN
ejpam-3395	478	7	49.5432	49.5432	NUM
ejpam-3395	478	8	49.7045	49.7045	NUM
ejpam-3395	478	9	0.2	0.2	NUM
ejpam-3395	478	10	hm	hm	INTJ
ejpam-3395	478	11	49.5249	49.5249	NUM
ejpam-3395	478	12	49.7619	49.7619	NUM
ejpam-3395	478	13	table	table	NOUN
ejpam-3395	478	14	6	6	NUM
ejpam-3395	478	15	:	:	PUNCT
ejpam-3395	478	16	comparison	comparison	NOUN
ejpam-3395	478	17	of	of	ADP
ejpam-3395	478	18	american	american	ADJ
ejpam-3395	478	19	put	put	NOUN
ejpam-3395	478	20	option	option	NOUN
ejpam-3395	478	21	using	use	VERB
ejpam-3395	478	22	mfh	mfh	PROPN
ejpam-3395	478	23	model	model	NOUN
ejpam-3395	478	24	and	and	CCONJ
ejpam-3395	478	25	hm	hm	INTJ
ejpam-3395	478	26	as	as	ADP
ejpam-3395	478	27	function	function	NOUN
ejpam-3395	478	28	of	of	ADP
ejpam-3395	478	29	s0	s0	PROPN
ejpam-3395	478	30	and	and	CCONJ
ejpam-3395	478	31	v0	v0	NOUN
ejpam-3395	478	32	for	for	ADP
ejpam-3395	478	33	h=0.80	h=0.80	PRON
ejpam-3395	478	34	.	.	PUNCT
ejpam-3395	479	1	d.	d.	PROPN
ejpam-3395	479	2	a.	a.	PROPN
ejpam-3395	479	3	n.	n.	PROPN
ejpam-3395	479	4	njamen	njamen	PROPN
ejpam-3395	479	5	,	,	PUNCT
ejpam-3395	479	6	e.	e.	PROPN
ejpam-3395	479	7	djeutcha	djeutcha	PROPN
ejpam-3395	479	8	/	/	SYM
ejpam-3395	479	9	eur	eur	PROPN
ejpam-3395	479	10	.	.	PUNCT
ejpam-3395	480	1	j.	j.	PROPN
ejpam-3395	480	2	pure	pure	PROPN
ejpam-3395	480	3	appl	appl	PROPN
ejpam-3395	480	4	.	.	PROPN
ejpam-3395	480	5	math	math	PROPN
ejpam-3395	480	6	,	,	PUNCT
ejpam-3395	480	7	12	12	NUM
ejpam-3395	480	8	(	(	PUNCT
ejpam-3395	480	9	2	2	NUM
ejpam-3395	480	10	)	)	PUNCT
ejpam-3395	480	11	(	(	PUNCT
ejpam-3395	480	12	2019	2019	NUM
ejpam-3395	480	13	)	)	PUNCT
ejpam-3395	480	14	,	,	PUNCT
ejpam-3395	480	15	448	448	NUM
ejpam-3395	480	16	-	-	SYM
ejpam-3395	480	17	468	468	NUM
ejpam-3395	480	18	465	465	NUM
ejpam-3395	480	19	a	a	DET
ejpam-3395	480	20	b	b	NOUN
ejpam-3395	480	21	2	2	NUM
ejpam-3395	480	22	3	3	NUM
ejpam-3395	480	23	0.1	0.1	NUM
ejpam-3395	480	24	mfh	mfh	PROPN
ejpam-3395	480	25	49.9421	49.9421	NUM
ejpam-3395	480	26	49.7051	49.7051	NUM
ejpam-3395	480	27	0.2	0.2	NUM
ejpam-3395	480	28	hm	hm	INTJ
ejpam-3395	480	29	49.6671	49.6671	NUM
ejpam-3395	480	30	49.6763	49.6763	NUM
ejpam-3395	480	31	table	table	NOUN
ejpam-3395	480	32	7	7	NUM
ejpam-3395	480	33	:	:	PUNCT
ejpam-3395	480	34	comparison	comparison	NOUN
ejpam-3395	480	35	of	of	ADP
ejpam-3395	480	36	american	american	ADJ
ejpam-3395	480	37	put	put	NOUN
ejpam-3395	480	38	option	option	NOUN
ejpam-3395	480	39	using	use	VERB
ejpam-3395	480	40	mfh	mfh	PROPN
ejpam-3395	480	41	model	model	NOUN
ejpam-3395	480	42	and	and	CCONJ
ejpam-3395	480	43	hm	hm	INTJ
ejpam-3395	480	44	as	as	ADP
ejpam-3395	480	45	function	function	NOUN
ejpam-3395	480	46	of	of	ADP
ejpam-3395	480	47	s0	s0	PROPN
ejpam-3395	480	48	and	and	CCONJ
ejpam-3395	480	49	v0	v0	NOUN
ejpam-3395	480	50	for	for	ADP
ejpam-3395	480	51	h=0.85	h=0.85	NOUN
ejpam-3395	480	52	.	.	PUNCT
ejpam-3395	481	1	a	a	DET
ejpam-3395	481	2	b	b	NOUN
ejpam-3395	481	3	2	2	NUM
ejpam-3395	481	4	3	3	NUM
ejpam-3395	481	5	0.1	0.1	NUM
ejpam-3395	481	6	mfh	mfh	NOUN
ejpam-3395	481	7	49.8725	49.8725	NUM
ejpam-3395	481	8	49.7520	49.7520	NUM
ejpam-3395	481	9	0.2	0.2	NUM
ejpam-3395	481	10	hm	hm	NUM
ejpam-3395	481	11	49.8213	49.8213	NUM
ejpam-3395	481	12	49.7047	49.7047	NUM
ejpam-3395	481	13	table	table	NOUN
ejpam-3395	481	14	8	8	NUM
ejpam-3395	481	15	:	:	PUNCT
ejpam-3395	481	16	comparison	comparison	NOUN
ejpam-3395	481	17	of	of	ADP
ejpam-3395	481	18	american	american	ADJ
ejpam-3395	481	19	put	put	NOUN
ejpam-3395	481	20	option	option	NOUN
ejpam-3395	481	21	using	use	VERB
ejpam-3395	481	22	mfh	mfh	PROPN
ejpam-3395	481	23	model	model	NOUN
ejpam-3395	481	24	and	and	CCONJ
ejpam-3395	481	25	hm	hm	INTJ
ejpam-3395	481	26	as	as	ADP
ejpam-3395	481	27	function	function	NOUN
ejpam-3395	481	28	of	of	ADP
ejpam-3395	481	29	s0	s0	PROPN
ejpam-3395	481	30	and	and	CCONJ
ejpam-3395	481	31	v0	v0	NOUN
ejpam-3395	481	32	for	for	ADP
ejpam-3395	481	33	h=0.87	h=0.87	NOUN
ejpam-3395	481	34	.	.	PUNCT
ejpam-3395	482	1	a	a	DET
ejpam-3395	482	2	b	b	NOUN
ejpam-3395	482	3	2	2	NUM
ejpam-3395	482	4	3	3	NUM
ejpam-3395	482	5	0.1	0.1	NUM
ejpam-3395	482	6	mfh	mfh	PROPN
ejpam-3395	482	7	49.8149	49.8149	NUM
ejpam-3395	482	8	49.7072	49.7072	NUM
ejpam-3395	482	9	0.2	0.2	NUM
ejpam-3395	482	10	hm	hm	INTJ
ejpam-3395	482	11	49.6484	49.6484	NUM
ejpam-3395	482	12	49.7865	49.7865	NUM
ejpam-3395	482	13	table	table	NOUN
ejpam-3395	482	14	9	9	NUM
ejpam-3395	482	15	:	:	PUNCT
ejpam-3395	482	16	comparison	comparison	NOUN
ejpam-3395	482	17	of	of	ADP
ejpam-3395	482	18	american	american	ADJ
ejpam-3395	482	19	put	put	NOUN
ejpam-3395	482	20	option	option	NOUN
ejpam-3395	482	21	using	use	VERB
ejpam-3395	482	22	mfh	mfh	PROPN
ejpam-3395	482	23	model	model	NOUN
ejpam-3395	482	24	and	and	CCONJ
ejpam-3395	482	25	hm	hm	INTJ
ejpam-3395	482	26	as	as	ADP
ejpam-3395	482	27	function	function	NOUN
ejpam-3395	482	28	of	of	ADP
ejpam-3395	482	29	s0	s0	PROPN
ejpam-3395	482	30	and	and	CCONJ
ejpam-3395	482	31	v0	v0	NOUN
ejpam-3395	482	32	for	for	ADP
ejpam-3395	482	33	h=0.89	h=0.89	NOUN
ejpam-3395	482	34	.	.	PUNCT
ejpam-3395	483	1	in	in	ADP
ejpam-3395	483	2	tables	table	NOUN
ejpam-3395	483	3	6	6	NUM
ejpam-3395	483	4	,	,	PUNCT
ejpam-3395	483	5	7	7	NUM
ejpam-3395	483	6	,	,	PUNCT
ejpam-3395	483	7	8	8	NUM
ejpam-3395	483	8	and	and	CCONJ
ejpam-3395	483	9	9	9	NUM
ejpam-3395	483	10	,	,	PUNCT
ejpam-3395	483	11	the	the	DET
ejpam-3395	483	12	results	result	NOUN
ejpam-3395	483	13	are	be	AUX
ejpam-3395	483	14	shown	show	VERB
ejpam-3395	483	15	for	for	ADP
ejpam-3395	483	16	some	some	DET
ejpam-3395	483	17	quantities	quantity	NOUN
ejpam-3395	483	18	of	of	ADP
ejpam-3395	483	19	hurst	hurst	PROPN
ejpam-3395	483	20	parameters	parameter	NOUN
ejpam-3395	483	21	h=0.80,h=0.85	h=0.80,h=0.85	PROPN
ejpam-3395	483	22	,	,	PUNCT
ejpam-3395	483	23	0.87	0.87	NUM
ejpam-3395	483	24	,	,	PUNCT
ejpam-3395	483	25	0.89	0.89	NUM
ejpam-3395	483	26	.	.	PUNCT
ejpam-3395	484	1	we	we	PRON
ejpam-3395	484	2	see	see	VERB
ejpam-3395	484	3	that	that	DET
ejpam-3395	484	4	increase	increase	NOUN
ejpam-3395	484	5	in	in	ADP
ejpam-3395	484	6	the	the	DET
ejpam-3395	484	7	value	value	NOUN
ejpam-3395	484	8	of	of	ADP
ejpam-3395	484	9	the	the	DET
ejpam-3395	484	10	hurst	hurst	PROPN
ejpam-3395	484	11	parameter	parameter	PROPN
ejpam-3395	484	12	leads	lead	VERB
ejpam-3395	484	13	to	to	ADP
ejpam-3395	484	14	a	a	DET
ejpam-3395	484	15	significant	significant	ADJ
ejpam-3395	484	16	increase	increase	NOUN
ejpam-3395	484	17	in	in	ADP
ejpam-3395	484	18	the	the	DET
ejpam-3395	484	19	value	value	NOUN
ejpam-3395	484	20	of	of	ADP
ejpam-3395	484	21	the	the	DET
ejpam-3395	484	22	american	american	ADJ
ejpam-3395	484	23	put	put	NOUN
ejpam-3395	484	24	option	option	NOUN
ejpam-3395	484	25	price	price	NOUN
ejpam-3395	484	26	under	under	ADP
ejpam-3395	484	27	mfh	mfh	PROPN
ejpam-3395	484	28	.	.	PUNCT
ejpam-3395	485	1	a	a	DET
ejpam-3395	485	2	b	b	NOUN
ejpam-3395	485	3	2	2	NUM
ejpam-3395	485	4	3	3	NUM
ejpam-3395	485	5	0.1	0.1	NUM
ejpam-3395	485	6	mfh	mfh	PROPN
ejpam-3395	485	7	49.7141	49.7141	NUM
ejpam-3395	485	8	49.6956	49.6956	NUM
ejpam-3395	485	9	0.2	0.2	NUM
ejpam-3395	486	1	hm	hm	INTJ
ejpam-3395	486	2	49.6721	49.6721	NUM
ejpam-3395	486	3	49.6781	49.6781	NUM
ejpam-3395	486	4	table	table	NOUN
ejpam-3395	486	5	10	10	NUM
ejpam-3395	486	6	:	:	PUNCT
ejpam-3395	486	7	comparison	comparison	NOUN
ejpam-3395	486	8	of	of	ADP
ejpam-3395	486	9	american	american	ADJ
ejpam-3395	486	10	put	put	NOUN
ejpam-3395	486	11	option	option	NOUN
ejpam-3395	486	12	using	use	VERB
ejpam-3395	486	13	mfh	mfh	PROPN
ejpam-3395	486	14	model	model	NOUN
ejpam-3395	486	15	and	and	CCONJ
ejpam-3395	486	16	hm	hm	INTJ
ejpam-3395	486	17	as	as	ADP
ejpam-3395	486	18	function	function	NOUN
ejpam-3395	486	19	of	of	ADP
ejpam-3395	486	20	s0	s0	PROPN
ejpam-3395	486	21	and	and	CCONJ
ejpam-3395	486	22	v0	v0	NOUN
ejpam-3395	486	23	for	for	ADP
ejpam-3395	486	24	h=0.90	h=0.90	PRON
ejpam-3395	486	25	.	.	PUNCT
ejpam-3395	487	1	a	a	DET
ejpam-3395	487	2	b	b	NOUN
ejpam-3395	487	3	2	2	NUM
ejpam-3395	487	4	3	3	NUM
ejpam-3395	487	5	0.1	0.1	NUM
ejpam-3395	487	6	mfh	mfh	NOUN
ejpam-3395	487	7	49.8439	49.8439	NUM
ejpam-3395	487	8	49.7099	49.7099	NUM
ejpam-3395	487	9	0.2	0.2	NUM
ejpam-3395	487	10	hm	hm	INTJ
ejpam-3395	487	11	49.9487	49.9487	NUM
ejpam-3395	487	12	49.6653	49.6653	NUM
ejpam-3395	487	13	table	table	NOUN
ejpam-3395	487	14	11	11	NUM
ejpam-3395	487	15	:	:	PUNCT
ejpam-3395	487	16	comparison	comparison	NOUN
ejpam-3395	487	17	of	of	ADP
ejpam-3395	487	18	american	american	ADJ
ejpam-3395	487	19	put	put	NOUN
ejpam-3395	487	20	option	option	NOUN
ejpam-3395	487	21	using	use	VERB
ejpam-3395	487	22	mfh	mfh	PROPN
ejpam-3395	487	23	model	model	NOUN
ejpam-3395	487	24	and	and	CCONJ
ejpam-3395	487	25	hm	hm	INTJ
ejpam-3395	487	26	as	as	ADP
ejpam-3395	487	27	function	function	NOUN
ejpam-3395	487	28	of	of	ADP
ejpam-3395	487	29	s0	s0	PROPN
ejpam-3395	487	30	and	and	CCONJ
ejpam-3395	487	31	v0	v0	NOUN
ejpam-3395	487	32	for	for	ADP
ejpam-3395	487	33	h=0.95	h=0.95	NOUN
ejpam-3395	487	34	.	.	PUNCT
ejpam-3395	488	1	a	a	DET
ejpam-3395	488	2	b	b	NOUN
ejpam-3395	488	3	2	2	NUM
ejpam-3395	488	4	3	3	NUM
ejpam-3395	488	5	0.1	0.1	NUM
ejpam-3395	488	6	mfh	mfh	NOUN
ejpam-3395	488	7	49.7129	49.7129	NUM
ejpam-3395	488	8	49.6898	49.6898	NUM
ejpam-3395	488	9	0.2	0.2	NUM
ejpam-3395	488	10	hm	hm	INTJ
ejpam-3395	488	11	49.8712	49.8712	NUM
ejpam-3395	488	12	49.7194	49.7194	NUM
ejpam-3395	488	13	table	table	NOUN
ejpam-3395	488	14	12	12	NUM
ejpam-3395	488	15	:	:	PUNCT
ejpam-3395	488	16	comparison	comparison	NOUN
ejpam-3395	488	17	of	of	ADP
ejpam-3395	488	18	american	american	ADJ
ejpam-3395	488	19	put	put	NOUN
ejpam-3395	488	20	option	option	NOUN
ejpam-3395	488	21	using	use	VERB
ejpam-3395	488	22	mfh	mfh	PROPN
ejpam-3395	488	23	model	model	NOUN
ejpam-3395	488	24	and	and	CCONJ
ejpam-3395	488	25	hm	hm	INTJ
ejpam-3395	488	26	as	as	ADP
ejpam-3395	488	27	function	function	NOUN
ejpam-3395	488	28	of	of	ADP
ejpam-3395	488	29	s0	s0	PROPN
ejpam-3395	488	30	and	and	CCONJ
ejpam-3395	488	31	v0	v0	NOUN
ejpam-3395	488	32	for	for	ADP
ejpam-3395	488	33	h=0.97	h=0.97	NOUN
ejpam-3395	488	34	.	.	PUNCT
ejpam-3395	489	1	a	a	DET
ejpam-3395	489	2	b	b	NOUN
ejpam-3395	489	3	2	2	NUM
ejpam-3395	489	4	3	3	NUM
ejpam-3395	489	5	0.1	0.1	NUM
ejpam-3395	489	6	mfh	mfh	PROPN
ejpam-3395	489	7	49.7509	49.7509	NOUN
ejpam-3395	489	8	49.6964	49.6964	NUM
ejpam-3395	489	9	0.2	0.2	NUM
ejpam-3395	489	10	hm	hm	INTJ
ejpam-3395	489	11	49.7540	49.7540	NUM
ejpam-3395	489	12	49.7373	49.7373	NUM
ejpam-3395	489	13	references	reference	NOUN
ejpam-3395	489	14	466	466	NUM
ejpam-3395	489	15	table	table	NOUN
ejpam-3395	489	16	13	13	NUM
ejpam-3395	489	17	:	:	PUNCT
ejpam-3395	489	18	comparison	comparison	NOUN
ejpam-3395	489	19	of	of	ADP
ejpam-3395	489	20	american	american	ADJ
ejpam-3395	489	21	put	put	NOUN
ejpam-3395	489	22	option	option	NOUN
ejpam-3395	489	23	using	use	VERB
ejpam-3395	489	24	mfh	mfh	PROPN
ejpam-3395	489	25	model	model	NOUN
ejpam-3395	489	26	and	and	CCONJ
ejpam-3395	489	27	hm	hm	INTJ
ejpam-3395	489	28	as	as	ADP
ejpam-3395	489	29	function	function	NOUN
ejpam-3395	489	30	of	of	ADP
ejpam-3395	489	31	s0	s0	PROPN
ejpam-3395	489	32	and	and	CCONJ
ejpam-3395	489	33	v0	v0	NOUN
ejpam-3395	489	34	for	for	ADP
ejpam-3395	489	35	h=0.99	h=0.99	NOUN
ejpam-3395	489	36	.	.	PUNCT
ejpam-3395	490	1	in	in	ADP
ejpam-3395	490	2	tables	table	NOUN
ejpam-3395	490	3	10	10	NUM
ejpam-3395	490	4	,	,	PUNCT
ejpam-3395	490	5	11	11	NUM
ejpam-3395	490	6	,	,	PUNCT
ejpam-3395	490	7	12	12	NUM
ejpam-3395	490	8	and	and	CCONJ
ejpam-3395	490	9	13	13	NUM
ejpam-3395	490	10	,	,	PUNCT
ejpam-3395	490	11	the	the	DET
ejpam-3395	490	12	results	result	NOUN
ejpam-3395	490	13	are	be	AUX
ejpam-3395	490	14	shown	show	VERB
ejpam-3395	490	15	for	for	ADP
ejpam-3395	490	16	some	some	DET
ejpam-3395	490	17	quantities	quantity	NOUN
ejpam-3395	490	18	of	of	ADP
ejpam-3395	490	19	hurst	hurst	PROPN
ejpam-3395	490	20	parameters	parameter	NOUN
ejpam-3395	490	21	h=0.90,h=0.95	h=0.90,h=0.95	ADV
ejpam-3395	490	22	,	,	PUNCT
ejpam-3395	490	23	0.97	0.97	NUM
ejpam-3395	490	24	,	,	PUNCT
ejpam-3395	490	25	0.99	0.99	NUM
ejpam-3395	490	26	.	.	PUNCT
ejpam-3395	491	1	we	we	PRON
ejpam-3395	491	2	see	see	VERB
ejpam-3395	491	3	that	that	DET
ejpam-3395	491	4	increase	increase	NOUN
ejpam-3395	491	5	in	in	ADP
ejpam-3395	491	6	the	the	DET
ejpam-3395	491	7	value	value	NOUN
ejpam-3395	491	8	of	of	ADP
ejpam-3395	491	9	the	the	DET
ejpam-3395	491	10	hurst	hurst	PROPN
ejpam-3395	491	11	parameter	parameter	PROPN
ejpam-3395	491	12	leads	lead	VERB
ejpam-3395	491	13	to	to	ADP
ejpam-3395	491	14	a	a	DET
ejpam-3395	491	15	significant	significant	ADJ
ejpam-3395	491	16	increase	increase	NOUN
ejpam-3395	491	17	in	in	ADP
ejpam-3395	491	18	the	the	DET
ejpam-3395	491	19	value	value	NOUN
ejpam-3395	491	20	of	of	ADP
ejpam-3395	491	21	the	the	DET
ejpam-3395	491	22	american	american	ADJ
ejpam-3395	491	23	put	put	NOUN
ejpam-3395	491	24	option	option	NOUN
ejpam-3395	491	25	price	price	NOUN
ejpam-3395	491	26	under	under	ADP
ejpam-3395	491	27	mfh	mfh	PROPN
ejpam-3395	491	28	.	.	PROPN
ejpam-3395	492	1	5	5	NUM
ejpam-3395	492	2	.	.	X
ejpam-3395	492	3	conclusion	conclusion	NOUN
ejpam-3395	492	4	in	in	ADP
ejpam-3395	492	5	this	this	DET
ejpam-3395	492	6	paper	paper	NOUN
ejpam-3395	492	7	,	,	PUNCT
ejpam-3395	492	8	we	we	PRON
ejpam-3395	492	9	have	have	AUX
ejpam-3395	492	10	studied	study	VERB
ejpam-3395	492	11	the	the	DET
ejpam-3395	492	12	application	application	NOUN
ejpam-3395	492	13	of	of	ADP
ejpam-3395	492	14	lsm	lsm	PROPN
ejpam-3395	492	15	algorithm	algorithm	PROPN
ejpam-3395	492	16	to	to	PART
ejpam-3395	492	17	estimate	estimate	VERB
ejpam-3395	492	18	the	the	DET
ejpam-3395	492	19	value	value	NOUN
ejpam-3395	492	20	of	of	ADP
ejpam-3395	492	21	american	american	ADJ
ejpam-3395	492	22	put	put	NOUN
ejpam-3395	492	23	option	option	NOUN
ejpam-3395	492	24	price	price	NOUN
ejpam-3395	492	25	of	of	ADP
ejpam-3395	492	26	the	the	DET
ejpam-3395	492	27	mfh	mfh	PROPN
ejpam-3395	492	28	model	model	NOUN
ejpam-3395	492	29	that	that	SCONJ
ejpam-3395	492	30	both	both	CCONJ
ejpam-3395	492	31	the	the	DET
ejpam-3395	492	32	stock	stock	NOUN
ejpam-3395	492	33	price	price	NOUN
ejpam-3395	492	34	and	and	CCONJ
ejpam-3395	492	35	volatility	volatility	NOUN
ejpam-3395	492	36	in	in	ADP
ejpam-3395	492	37	the	the	DET
ejpam-3395	492	38	model	model	NOUN
ejpam-3395	492	39	are	be	AUX
ejpam-3395	492	40	governed	govern	VERB
ejpam-3395	492	41	by	by	ADP
ejpam-3395	492	42	distinct	distinct	ADJ
ejpam-3395	492	43	processes	process	NOUN
ejpam-3395	492	44	.	.	PUNCT
ejpam-3395	493	1	for	for	ADP
ejpam-3395	493	2	this	this	DET
ejpam-3395	493	3	reason	reason	NOUN
ejpam-3395	493	4	,	,	PUNCT
ejpam-3395	493	5	this	this	DET
ejpam-3395	493	6	version	version	NOUN
ejpam-3395	493	7	of	of	ADP
ejpam-3395	493	8	the	the	DET
ejpam-3395	493	9	heston	heston	PROPN
ejpam-3395	493	10	model	model	NOUN
ejpam-3395	493	11	that	that	PRON
ejpam-3395	493	12	we	we	PRON
ejpam-3395	493	13	have	have	AUX
ejpam-3395	493	14	proposed	propose	VERB
ejpam-3395	493	15	in	in	ADP
ejpam-3395	493	16	this	this	DET
ejpam-3395	493	17	paper	paper	NOUN
ejpam-3395	493	18	is	be	AUX
ejpam-3395	493	19	intuitive	intuitive	ADJ
ejpam-3395	493	20	and	and	CCONJ
ejpam-3395	493	21	computational	computational	ADJ
ejpam-3395	493	22	efficient	efficient	ADJ
ejpam-3395	493	23	.	.	PUNCT
ejpam-3395	494	1	we	we	PRON
ejpam-3395	494	2	have	have	AUX
ejpam-3395	494	3	proved	prove	VERB
ejpam-3395	494	4	that	that	SCONJ
ejpam-3395	494	5	our	our	PRON
ejpam-3395	494	6	model	model	NOUN
ejpam-3395	494	7	has	have	VERB
ejpam-3395	494	8	a	a	DET
ejpam-3395	494	9	unique	unique	ADJ
ejpam-3395	494	10	solution	solution	NOUN
ejpam-3395	494	11	.	.	PUNCT
ejpam-3395	495	1	moreover	moreover	ADV
ejpam-3395	495	2	,	,	PUNCT
ejpam-3395	495	3	we	we	PRON
ejpam-3395	495	4	have	have	AUX
ejpam-3395	495	5	used	use	VERB
ejpam-3395	495	6	euler	euler	NOUN
ejpam-3395	495	7	discretization	discretization	NOUN
ejpam-3395	495	8	method	method	NOUN
ejpam-3395	495	9	which	which	PRON
ejpam-3395	495	10	performed	perform	VERB
ejpam-3395	495	11	the	the	DET
ejpam-3395	495	12	mfh	mfh	PROPN
ejpam-3395	495	13	model	model	NOUN
ejpam-3395	495	14	.	.	PUNCT
ejpam-3395	496	1	numerical	numerical	ADJ
ejpam-3395	496	2	examples	example	NOUN
ejpam-3395	496	3	showed	show	VERB
ejpam-3395	496	4	that	that	SCONJ
ejpam-3395	496	5	the	the	DET
ejpam-3395	496	6	lsm	lsm	PROPN
ejpam-3395	496	7	algorithm	algorithm	PROPN
ejpam-3395	496	8	produces	produce	VERB
ejpam-3395	496	9	acceptable	acceptable	ADJ
ejpam-3395	496	10	results	result	NOUN
ejpam-3395	496	11	which	which	PRON
ejpam-3395	496	12	generalized	generalize	VERB
ejpam-3395	496	13	those	those	PRON
ejpam-3395	496	14	of	of	ADP
ejpam-3395	496	15	the	the	DET
ejpam-3395	496	16	heston	heston	PROPN
ejpam-3395	496	17	model	model	PROPN
ejpam-3395	496	18	.	.	PUNCT
ejpam-3395	497	1	acknowledgements	acknowledgement	NOUN
ejpam-3395	497	2	the	the	DET
ejpam-3395	497	3	second	second	ADJ
ejpam-3395	497	4	author	author	NOUN
ejpam-3395	497	5	received	receive	VERB
ejpam-3395	497	6	scholarship	scholarship	NOUN
ejpam-3395	497	7	for	for	ADP
ejpam-3395	497	8	his	his	PRON
ejpam-3395	497	9	doctoral	doctoral	ADJ
ejpam-3395	497	10	studies	study	NOUN
ejpam-3395	497	11	from	from	ADP
ejpam-3395	497	12	the	the	DET
ejpam-3395	497	13	non	non	ADJ
ejpam-3395	497	14	-	-	ADJ
ejpam-3395	497	15	governmental	governmental	ADJ
ejpam-3395	497	16	organization	organization	NOUN
ejpam-3395	497	17	“	"	PUNCT
ejpam-3395	497	18	jean	jean	PROPN
ejpam-3395	497	19	felicien	felicien	PROPN
ejpam-3395	497	20	gacha	gacha	PROPN
ejpam-3395	497	21	’s	’s	PART
ejpam-3395	497	22	foundation	foundation	NOUN
ejpam-3395	497	23	”	"	PUNCT
ejpam-3395	497	24	.	.	PUNCT
ejpam-3395	498	1	and	and	CCONJ
ejpam-3395	498	2	the	the	DET
ejpam-3395	498	3	research	research	NOUN
ejpam-3395	498	4	work	work	NOUN
ejpam-3395	498	5	has	have	AUX
ejpam-3395	498	6	been	be	AUX
ejpam-3395	498	7	done	do	VERB
ejpam-3395	498	8	under	under	ADP
ejpam-3395	498	9	the	the	DET
ejpam-3395	498	10	research	research	NOUN
ejpam-3395	498	11	grant	grant	VERB
ejpam-3395	498	12	no	no	DET
ejpam-3395	498	13	17	17	NUM
ejpam-3395	498	14	-	-	PUNCT
ejpam-3395	498	15	497rg	497rg	NOUN
ejpam-3395	498	16	/	/	SYM
ejpam-3395	498	17	maths	math	NOUN
ejpam-3395	498	18	/	/	SYM
ejpam-3395	498	19	af	af	NOUN
ejpam-3395	498	20	/	/	SYM
ejpam-3395	498	21	acg−fr3240297728	acg−fr3240297728	NOUN
ejpam-3395	498	22	offered	offer	VERB
ejpam-3395	498	23	by	by	ADP
ejpam-3395	498	24	the	the	DET
ejpam-3395	498	25	world	world	PROPN
ejpam-3395	498	26	academy	academy	PROPN
ejpam-3395	498	27	of	of	ADP
ejpam-3395	498	28	sciences	sciences	PROPN
ejpam-3395	498	29	(	(	PUNCT
ejpam-3395	498	30	twas	twas	ADV
ejpam-3395	498	31	)	)	PUNCT
ejpam-3395	498	32	to	to	ADP
ejpam-3395	498	33	the	the	DET
ejpam-3395	498	34	applied	apply	VERB
ejpam-3395	498	35	mathematics	mathematic	NOUN
ejpam-3395	498	36	to	to	ADP
ejpam-3395	498	37	social	social	ADJ
ejpam-3395	498	38	sciences	sciences	PROPN
ejpam-3395	498	39	research	research	NOUN
ejpam-3395	498	40	group	group	NOUN
ejpam-3395	498	41	of	of	ADP
ejpam-3395	498	42	the	the	DET
ejpam-3395	498	43	laboratory	laboratory	NOUN
ejpam-3395	498	44	of	of	ADP
ejpam-3395	498	45	mathematics	mathematics	NOUN
ejpam-3395	498	46	-	-	PUNCT
ejpam-3395	498	47	university	university	NOUN
ejpam-3395	498	48	of	of	ADP
ejpam-3395	498	49	douala	douala	PROPN
ejpam-3395	498	50	-	-	PUNCT
ejpam-3395	498	51	cameroon	cameroon	NOUN
ejpam-3395	498	52	.	.	PUNCT
ejpam-3395	499	1	the	the	DET
ejpam-3395	499	2	authors	author	NOUN
ejpam-3395	499	3	sincerely	sincerely	ADV
ejpam-3395	499	4	thanks	thank	NOUN
ejpam-3395	499	5	jean	jean	PROPN
ejpam-3395	499	6	felicien	felicien	PROPN
ejpam-3395	499	7	gacha	gacha	PROPN
ejpam-3395	499	8	’s	’s	PART
ejpam-3395	499	9	foundation	foundation	NOUN
ejpam-3395	499	10	and	and	CCONJ
ejpam-3395	499	11	twas	twa	VERB
ejpam-3395	499	12	for	for	ADP
ejpam-3395	499	13	their	their	PRON
ejpam-3395	499	14	immeasurable	immeasurable	ADJ
ejpam-3395	499	15	help	help	NOUN
ejpam-3395	499	16	.	.	PUNCT
ejpam-3395	500	1	references	reference	NOUN
ejpam-3395	500	2	[	[	X
ejpam-3395	500	3	1	1	X
ejpam-3395	500	4	]	]	PUNCT
ejpam-3395	500	5	s.	s.	PROPN
ejpam-3395	500	6	albeverio	albeverio	PROPN
ejpam-3395	500	7	,	,	PUNCT
ejpam-3395	500	8	z.	z.	PROPN
ejpam-3395	500	9	brzeźniak	brzeźniak	PROPN
ejpam-3395	500	10	,	,	PUNCT
ejpam-3395	500	11	and	and	CCONJ
ejpam-3395	500	12	j	j	PROPN
ejpam-3395	500	13	-	-	PUNCT
ejpam-3395	500	14	l.	l.	PROPN
ejpam-3395	500	15	wu	wu	PROPN
ejpam-3395	500	16	.	.	PUNCT
ejpam-3395	501	1	existence	existence	NOUN
ejpam-3395	501	2	of	of	ADP
ejpam-3395	501	3	global	global	ADJ
ejpam-3395	501	4	solutions	solution	NOUN
ejpam-3395	501	5	and	and	CCONJ
ejpam-3395	501	6	invariant	invariant	ADJ
ejpam-3395	501	7	measures	measure	NOUN
ejpam-3395	501	8	for	for	ADP
ejpam-3395	501	9	stochastic	stochastic	ADJ
ejpam-3395	501	10	differential	differential	ADJ
ejpam-3395	501	11	equations	equation	NOUN
ejpam-3395	501	12	driven	drive	VERB
ejpam-3395	501	13	by	by	ADP
ejpam-3395	501	14	poisson	poisson	NOUN
ejpam-3395	501	15	type	type	NOUN
ejpam-3395	501	16	noise	noise	NOUN
ejpam-3395	501	17	with	with	ADP
ejpam-3395	501	18	non	non	ADJ
ejpam-3395	501	19	-	-	ADJ
ejpam-3395	501	20	lipschitz	lipschitz	ADJ
ejpam-3395	501	21	coefficients	coefficient	NOUN
ejpam-3395	501	22	.	.	PUNCT
ejpam-3395	502	1	journal	journal	NOUN
ejpam-3395	502	2	of	of	ADP
ejpam-3395	502	3	mathematical	mathematical	ADJ
ejpam-3395	502	4	analysis	analysis	NOUN
ejpam-3395	502	5	and	and	CCONJ
ejpam-3395	502	6	applications	application	NOUN
ejpam-3395	502	7	,	,	PUNCT
ejpam-3395	502	8	371(1):309–322	371(1):309–322	NUM
ejpam-3395	502	9	,	,	PUNCT
ejpam-3395	502	10	2010	2010	NUM
ejpam-3395	502	11	.	.	PUNCT
ejpam-3395	503	1	[	[	X
ejpam-3395	503	2	2	2	X
ejpam-3395	503	3	]	]	PUNCT
ejpam-3395	503	4	e.	e.	PROPN
ejpam-3395	503	5	alos	alos	PROPN
ejpam-3395	503	6	,	,	PUNCT
ejpam-3395	503	7	j.	j.	PROPN
ejpam-3395	503	8	a.	a.	PROPN
ejpam-3395	503	9	león	león	PROPN
ejpam-3395	503	10	,	,	PUNCT
ejpam-3395	503	11	d.	d.	PROPN
ejpam-3395	503	12	nualart	nualart	PROPN
ejpam-3395	503	13	,	,	PUNCT
ejpam-3395	503	14	et	et	PROPN
ejpam-3395	503	15	al	al	PROPN
ejpam-3395	503	16	.	.	PROPN
ejpam-3395	504	1	stochastic	stochastic	ADJ
ejpam-3395	504	2	stratonovich	stratonovich	NOUN
ejpam-3395	504	3	calculus	calculus	NOUN
ejpam-3395	504	4	fbm	fbm	NOUN
ejpam-3395	504	5	for	for	ADP
ejpam-3395	504	6	fractional	fractional	ADJ
ejpam-3395	504	7	brownian	brownian	ADJ
ejpam-3395	504	8	motion	motion	NOUN
ejpam-3395	504	9	with	with	ADP
ejpam-3395	504	10	hurst	hurst	PROPN
ejpam-3395	504	11	parameter	parameter	PROPN
ejpam-3395	504	12	less	less	ADJ
ejpam-3395	504	13	than	than	ADP
ejpam-3395	504	14	1/2	1/2	NUM
ejpam-3395	504	15	.	.	PUNCT
ejpam-3395	505	1	taiwanese	taiwanese	ADJ
ejpam-3395	505	2	journal	journal	NOUN
ejpam-3395	505	3	of	of	ADP
ejpam-3395	505	4	mathematics	mathematic	NOUN
ejpam-3395	505	5	,	,	PUNCT
ejpam-3395	505	6	5(3):609–632	5(3):609–632	NOUN
ejpam-3395	505	7	,	,	PUNCT
ejpam-3395	505	8	2001	2001	NUM
ejpam-3395	505	9	.	.	PUNCT
ejpam-3395	506	1	[	[	X
ejpam-3395	506	2	3	3	X
ejpam-3395	506	3	]	]	X
ejpam-3395	506	4	e.	e.	PROPN
ejpam-3395	506	5	alòs	alòs	PROPN
ejpam-3395	506	6	and	and	CCONJ
ejpam-3395	506	7	d.	d.	PROPN
ejpam-3395	506	8	nualart	nualart	PROPN
ejpam-3395	506	9	.	.	PUNCT
ejpam-3395	507	1	stochastic	stochastic	ADJ
ejpam-3395	507	2	integration	integration	NOUN
ejpam-3395	507	3	with	with	ADP
ejpam-3395	507	4	respect	respect	NOUN
ejpam-3395	507	5	to	to	ADP
ejpam-3395	507	6	the	the	DET
ejpam-3395	507	7	fractional	fractional	ADJ
ejpam-3395	507	8	brownian	brownian	ADJ
ejpam-3395	507	9	motion	motion	NOUN
ejpam-3395	507	10	.	.	PUNCT
ejpam-3395	508	1	stochastics	stochastic	NOUN
ejpam-3395	508	2	and	and	CCONJ
ejpam-3395	508	3	stochastic	stochastic	ADJ
ejpam-3395	508	4	reports	report	NOUN
ejpam-3395	508	5	,	,	PUNCT
ejpam-3395	508	6	75(3):129–152	75(3):129–152	NUM
ejpam-3395	508	7	,	,	PUNCT
ejpam-3395	508	8	2003	2003	NUM
ejpam-3395	508	9	.	.	PUNCT
ejpam-3395	509	1	[	[	X
ejpam-3395	509	2	4	4	X
ejpam-3395	509	3	]	]	X
ejpam-3395	509	4	d.	d.	PROPN
ejpam-3395	509	5	barbu	barbu	PROPN
ejpam-3395	509	6	and	and	CCONJ
ejpam-3395	509	7	g.	g.	PROPN
ejpam-3395	509	8	bocşan	bocşan	PROPN
ejpam-3395	509	9	.	.	PUNCT
ejpam-3395	510	1	approximations	approximation	NOUN
ejpam-3395	510	2	to	to	ADP
ejpam-3395	510	3	mild	mild	ADJ
ejpam-3395	510	4	solutions	solution	NOUN
ejpam-3395	510	5	of	of	ADP
ejpam-3395	510	6	stochastic	stochastic	ADJ
ejpam-3395	510	7	semilinear	semilinear	NOUN
ejpam-3395	510	8	equations	equation	NOUN
ejpam-3395	510	9	with	with	ADP
ejpam-3395	510	10	non	non	ADJ
ejpam-3395	510	11	-	-	ADJ
ejpam-3395	510	12	lipschitz	lipschitz	ADJ
ejpam-3395	510	13	coefficients	coefficient	NOUN
ejpam-3395	510	14	.	.	PUNCT
ejpam-3395	511	1	czechoslovak	czechoslovak	ADJ
ejpam-3395	511	2	mathematical	mathematical	PROPN
ejpam-3395	511	3	journal	journal	NOUN
ejpam-3395	511	4	,	,	PUNCT
ejpam-3395	511	5	52(1):87–95	52(1):87–95	NUM
ejpam-3395	511	6	,	,	PUNCT
ejpam-3395	511	7	2002	2002	NUM
ejpam-3395	511	8	.	.	PUNCT
ejpam-3395	512	1	[	[	X
ejpam-3395	512	2	5	5	NUM
ejpam-3395	512	3	]	]	PUNCT
ejpam-3395	512	4	m.	m.	NOUN
ejpam-3395	512	5	t.	t.	PROPN
ejpam-3395	512	6	barlow	barlow	PROPN
ejpam-3395	512	7	.	.	PUNCT
ejpam-3395	513	1	one	one	NUM
ejpam-3395	513	2	dimensional	dimensional	ADJ
ejpam-3395	513	3	stochastic	stochastic	ADJ
ejpam-3395	513	4	differential	differential	ADJ
ejpam-3395	513	5	equations	equation	NOUN
ejpam-3395	513	6	with	with	ADP
ejpam-3395	513	7	no	no	DET
ejpam-3395	513	8	strong	strong	ADJ
ejpam-3395	513	9	solution	solution	NOUN
ejpam-3395	513	10	.	.	PUNCT
ejpam-3395	514	1	journal	journal	NOUN
ejpam-3395	514	2	of	of	ADP
ejpam-3395	514	3	the	the	DET
ejpam-3395	514	4	london	london	PROPN
ejpam-3395	514	5	mathematical	mathematical	ADJ
ejpam-3395	514	6	society	society	NOUN
ejpam-3395	514	7	,	,	PUNCT
ejpam-3395	514	8	2(2):335–347	2(2):335–347	NOUN
ejpam-3395	514	9	,	,	PUNCT
ejpam-3395	514	10	1982	1982	NUM
ejpam-3395	514	11	.	.	PUNCT
ejpam-3395	515	1	[	[	X
ejpam-3395	515	2	6	6	NUM
ejpam-3395	515	3	]	]	PUNCT
ejpam-3395	515	4	j.	j.	PROPN
ejpam-3395	515	5	barraquand	barraquand	PROPN
ejpam-3395	515	6	and	and	CCONJ
ejpam-3395	515	7	d.	d.	PROPN
ejpam-3395	515	8	martineau	martineau	PROPN
ejpam-3395	515	9	.	.	PUNCT
ejpam-3395	516	1	numerical	numerical	PROPN
ejpam-3395	516	2	valuation	valuation	PROPN
ejpam-3395	516	3	of	of	ADP
ejpam-3395	516	4	high	high	ADJ
ejpam-3395	516	5	dimensional	dimensional	ADJ
ejpam-3395	516	6	multivariate	multivariate	NOUN
ejpam-3395	516	7	american	american	ADJ
ejpam-3395	516	8	securities	security	NOUN
ejpam-3395	516	9	.	.	PUNCT
ejpam-3395	517	1	journal	journal	PROPN
ejpam-3395	517	2	of	of	ADP
ejpam-3395	517	3	financial	financial	ADJ
ejpam-3395	517	4	and	and	CCONJ
ejpam-3395	517	5	quantitative	quantitative	ADJ
ejpam-3395	517	6	analysis	analysis	NOUN
ejpam-3395	517	7	,	,	PUNCT
ejpam-3395	517	8	30(3):383–405	30(3):383–405	PROPN
ejpam-3395	517	9	,	,	PUNCT
ejpam-3395	517	10	1995	1995	NUM
ejpam-3395	517	11	.	.	PUNCT
ejpam-3395	518	1	references	reference	NOUN
ejpam-3395	518	2	467	467	NUM
ejpam-3395	518	3	[	[	X
ejpam-3395	518	4	7	7	NUM
ejpam-3395	518	5	]	]	PUNCT
ejpam-3395	518	6	f.	f.	PROPN
ejpam-3395	518	7	biagini	biagini	PROPN
ejpam-3395	518	8	,	,	PUNCT
ejpam-3395	518	9	y.	y.	PROPN
ejpam-3395	518	10	hu	hu	PROPN
ejpam-3395	518	11	,	,	PUNCT
ejpam-3395	518	12	b.	b.	PROPN
ejpam-3395	518	13	øksendal	øksendal	NOUN
ejpam-3395	518	14	,	,	PUNCT
ejpam-3395	518	15	and	and	CCONJ
ejpam-3395	518	16	t.	t.	PROPN
ejpam-3395	518	17	zhang	zhang	PROPN
ejpam-3395	518	18	.	.	PUNCT
ejpam-3395	519	1	stochastic	stochastic	ADJ
ejpam-3395	519	2	calculus	calculus	NOUN
ejpam-3395	519	3	for	for	ADP
ejpam-3395	519	4	fractional	fractional	ADJ
ejpam-3395	519	5	brownian	brownian	ADJ
ejpam-3395	519	6	motion	motion	NOUN
ejpam-3395	519	7	and	and	CCONJ
ejpam-3395	519	8	applications	application	NOUN
ejpam-3395	519	9	.	.	PUNCT
ejpam-3395	520	1	springer	springer	NOUN
ejpam-3395	520	2	science	science	PROPN
ejpam-3395	520	3	&	&	CCONJ
ejpam-3395	520	4	business	business	NOUN
ejpam-3395	520	5	media	medium	NOUN
ejpam-3395	520	6	,	,	PUNCT
ejpam-3395	520	7	2008	2008	NUM
ejpam-3395	520	8	.	.	PUNCT
ejpam-3395	521	1	[	[	X
ejpam-3395	521	2	8	8	NUM
ejpam-3395	521	3	]	]	PUNCT
ejpam-3395	521	4	m.	m.	NOUN
ejpam-3395	521	5	broadie	broadie	PROPN
ejpam-3395	521	6	,	,	PUNCT
ejpam-3395	521	7	p.	p.	NOUN
ejpam-3395	521	8	glasserman	glasserman	NOUN
ejpam-3395	521	9	,	,	PUNCT
ejpam-3395	521	10	and	and	CCONJ
ejpam-3395	521	11	g.	g.	PROPN
ejpam-3395	521	12	jain	jain	PROPN
ejpam-3395	521	13	.	.	PUNCT
ejpam-3395	522	1	enhanced	enhance	VERB
ejpam-3395	522	2	monte	monte	PROPN
ejpam-3395	522	3	carlo	carlo	PROPN
ejpam-3395	522	4	estimates	estimate	NOUN
ejpam-3395	522	5	for	for	ADP
ejpam-3395	522	6	american	american	ADJ
ejpam-3395	522	7	option	option	NOUN
ejpam-3395	522	8	prices	price	NOUN
ejpam-3395	522	9	.	.	PUNCT
ejpam-3395	523	1	journal	journal	NOUN
ejpam-3395	523	2	of	of	ADP
ejpam-3395	523	3	derivatives	derivative	NOUN
ejpam-3395	523	4	,	,	PUNCT
ejpam-3395	523	5	5:25–44	5:25–44	NUM
ejpam-3395	523	6	,	,	PUNCT
ejpam-3395	523	7	1997	1997	NUM
ejpam-3395	523	8	.	.	PUNCT
ejpam-3395	524	1	[	[	X
ejpam-3395	524	2	9	9	NUM
ejpam-3395	524	3	]	]	PUNCT
ejpam-3395	524	4	p.	p.	PROPN
ejpam-3395	524	5	carmona	carmona	PROPN
ejpam-3395	524	6	,	,	PUNCT
ejpam-3395	524	7	l.	l.	PROPN
ejpam-3395	524	8	coutin	coutin	PROPN
ejpam-3395	524	9	,	,	PUNCT
ejpam-3395	524	10	and	and	CCONJ
ejpam-3395	524	11	booktitle	booktitle	NOUN
ejpam-3395	524	12	=	=	SYM
ejpam-3395	524	13	annales	annales	X
ejpam-3395	524	14	de	de	X
ejpam-3395	524	15	l’institut	l’institut	PROPN
ejpam-3395	524	16	henri	henri	PROPN
ejpam-3395	524	17	poincare	poincare	PROPN
ejpam-3395	524	18	(	(	PUNCT
ejpam-3395	524	19	b	b	NOUN
ejpam-3395	524	20	)	)	PUNCT
ejpam-3395	524	21	probability	probability	NOUN
ejpam-3395	524	22	and	and	CCONJ
ejpam-3395	524	23	statistics	statistic	NOUN
ejpam-3395	524	24	volume=39	volume=39	VERB
ejpam-3395	524	25	number=1	number=1	ADP
ejpam-3395	524	26	pages=27–68	pages=27–68	VERB
ejpam-3395	524	27	year=2003	year=2003	PROPN
ejpam-3395	524	28	organization	organization	NOUN
ejpam-3395	524	29	=	=	NOUN
ejpam-3395	524	30	no	no	ADV
ejpam-3395	524	31	longer	long	ADV
ejpam-3395	524	32	published	publish	VERB
ejpam-3395	524	33	by	by	ADP
ejpam-3395	524	34	elsevier	elsevier	PROPN
ejpam-3395	524	35	montseny	montseny	PROPN
ejpam-3395	524	36	,	,	PUNCT
ejpam-3395	524	37	g.	g.	PROPN
ejpam-3395	524	38	stochastic	stochastic	ADJ
ejpam-3395	524	39	integration	integration	NOUN
ejpam-3395	524	40	with	with	ADP
ejpam-3395	524	41	respect	respect	NOUN
ejpam-3395	524	42	to	to	ADP
ejpam-3395	524	43	fractional	fractional	ADJ
ejpam-3395	524	44	brownian	brownian	ADJ
ejpam-3395	524	45	motion	motion	NOUN
ejpam-3395	524	46	.	.	PUNCT
ejpam-3395	525	1	[	[	X
ejpam-3395	525	2	10	10	NUM
ejpam-3395	525	3	]	]	PUNCT
ejpam-3395	525	4	p.	p.	NOUN
ejpam-3395	525	5	cheridito	cheridito	PROPN
ejpam-3395	525	6	et	et	PROPN
ejpam-3395	525	7	al	al	PROPN
ejpam-3395	525	8	.	.	PROPN
ejpam-3395	525	9	mixed	mix	VERB
ejpam-3395	525	10	fractional	fractional	ADJ
ejpam-3395	525	11	brownian	brownian	ADJ
ejpam-3395	525	12	motion	motion	NOUN
ejpam-3395	525	13	.	.	PUNCT
ejpam-3395	526	1	bernoulli	bernoulli	PROPN
ejpam-3395	526	2	,	,	PUNCT
ejpam-3395	526	3	7(6):913–934	7(6):913–934	NUM
ejpam-3395	526	4	,	,	PUNCT
ejpam-3395	526	5	2001	2001	NUM
ejpam-3395	526	6	.	.	PUNCT
ejpam-3395	527	1	[	[	X
ejpam-3395	527	2	11	11	NUM
ejpam-3395	527	3	]	]	PUNCT
ejpam-3395	527	4	j.	j.	PROPN
ejpam-3395	527	5	l.	l.	PROPN
ejpam-3395	527	6	da	da	PROPN
ejpam-3395	527	7	silva	silva	PROPN
ejpam-3395	527	8	,	,	PUNCT
ejpam-3395	527	9	m.	m.	PROPN
ejpam-3395	527	10	erraoui	erraoui	PROPN
ejpam-3395	527	11	,	,	PUNCT
ejpam-3395	527	12	and	and	CCONJ
ejpam-3395	527	13	e.	e.	PROPN
ejpam-3395	527	14	h.	h.	PROPN
ejpam-3395	527	15	essaky	essaky	PROPN
ejpam-3395	527	16	.	.	PUNCT
ejpam-3395	528	1	mixed	mixed	ADJ
ejpam-3395	528	2	stochastic	stochastic	ADJ
ejpam-3395	528	3	differential	differential	ADJ
ejpam-3395	528	4	equations	equation	NOUN
ejpam-3395	528	5	:	:	PUNCT
ejpam-3395	528	6	existence	existence	NOUN
ejpam-3395	528	7	and	and	CCONJ
ejpam-3395	528	8	uniqueness	uniqueness	PROPN
ejpam-3395	528	9	result	result	NOUN
ejpam-3395	528	10	.	.	PUNCT
ejpam-3395	529	1	journal	journal	NOUN
ejpam-3395	529	2	of	of	ADP
ejpam-3395	529	3	theoretical	theoretical	ADJ
ejpam-3395	529	4	probability	probability	NOUN
ejpam-3395	529	5	,	,	PUNCT
ejpam-3395	529	6	31(2):1119–1141	31(2):1119–1141	NUM
ejpam-3395	529	7	,	,	PUNCT
ejpam-3395	529	8	2018	2018	NUM
ejpam-3395	529	9	.	.	PUNCT
ejpam-3395	530	1	[	[	X
ejpam-3395	530	2	12	12	NUM
ejpam-3395	530	3	]	]	X
ejpam-3395	530	4	g	g	PROPN
ejpam-3395	530	5	-	-	PUNCT
ejpam-3395	530	6	f	f	PROPN
ejpam-3395	530	7	djang	djang	PROPN
ejpam-3395	530	8	.	.	PUNCT
ejpam-3395	531	1	a	a	DET
ejpam-3395	531	2	modified	modify	VERB
ejpam-3395	531	3	method	method	NOUN
ejpam-3395	531	4	of	of	ADP
ejpam-3395	531	5	iteration	iteration	NOUN
ejpam-3395	531	6	of	of	ADP
ejpam-3395	531	7	the	the	DET
ejpam-3395	531	8	picard	picard	NOUN
ejpam-3395	531	9	type	type	NOUN
ejpam-3395	531	10	in	in	ADP
ejpam-3395	531	11	the	the	DET
ejpam-3395	531	12	solution	solution	NOUN
ejpam-3395	531	13	of	of	ADP
ejpam-3395	531	14	differential	differential	ADJ
ejpam-3395	531	15	equations	equation	NOUN
ejpam-3395	531	16	.	.	PUNCT
ejpam-3395	532	1	journal	journal	NOUN
ejpam-3395	532	2	of	of	ADP
ejpam-3395	532	3	the	the	DET
ejpam-3395	532	4	franklin	franklin	PROPN
ejpam-3395	532	5	institute	institute	PROPN
ejpam-3395	532	6	,	,	PUNCT
ejpam-3395	532	7	246(6):453–457	246(6):453–457	NUM
ejpam-3395	532	8	,	,	PUNCT
ejpam-3395	532	9	1948	1948	NUM
ejpam-3395	532	10	.	.	PUNCT
ejpam-3395	533	1	[	[	X
ejpam-3395	533	2	13	13	NUM
ejpam-3395	533	3	]	]	X
ejpam-3395	533	4	eric	eric	PROPN
ejpam-3395	533	5	djeutcha	djeutcha	PROPN
ejpam-3395	533	6	,	,	PUNCT
ejpam-3395	533	7	didier	didier	PROPN
ejpam-3395	533	8	alain	alain	PROPN
ejpam-3395	533	9	njamen	njaman	NOUN
ejpam-3395	533	10	njomen	njoman	NOUN
ejpam-3395	533	11	,	,	PUNCT
ejpam-3395	533	12	and	and	CCONJ
ejpam-3395	533	13	louis	louis	NOUN
ejpam-3395	533	14	-	-	PUNCT
ejpam-3395	533	15	aimé	aimé	NOUN
ejpam-3395	533	16	fono	fono	NOUN
ejpam-3395	533	17	.	.	PUNCT
ejpam-3395	534	1	solving	solve	VERB
ejpam-3395	534	2	arbitrage	arbitrage	NOUN
ejpam-3395	534	3	problem	problem	NOUN
ejpam-3395	534	4	on	on	ADP
ejpam-3395	534	5	the	the	DET
ejpam-3395	534	6	financial	financial	ADJ
ejpam-3395	534	7	market	market	NOUN
ejpam-3395	534	8	under	under	ADP
ejpam-3395	534	9	the	the	DET
ejpam-3395	534	10	mixed	mixed	ADJ
ejpam-3395	534	11	fractional	fractional	ADJ
ejpam-3395	534	12	brownian	brownian	ADJ
ejpam-3395	534	13	motion	motion	NOUN
ejpam-3395	534	14	with	with	ADP
ejpam-3395	534	15	hurst	hurst	PROPN
ejpam-3395	534	16	parameter	parameter	PROPN
ejpam-3395	534	17	∈	∈	PROPN
ejpam-3395	534	18	1/2	1/2	NUM
ejpam-3395	534	19	,	,	PUNCT
ejpam-3395	534	20	3/4	3/4	NUM
ejpam-3395	534	21	.	.	PUNCT
ejpam-3395	534	22	journal	journal	PROPN
ejpam-3395	534	23	of	of	ADP
ejpam-3395	534	24	mathematics	mathematics	PROPN
ejpam-3395	534	25	research	research	NOUN
ejpam-3395	534	26	,	,	PUNCT
ejpam-3395	534	27	11(1):76–92	11(1):76–92	NUM
ejpam-3395	534	28	,	,	PUNCT
ejpam-3395	534	29	2019	2019	NUM
ejpam-3395	534	30	.	.	PUNCT
ejpam-3395	535	1	[	[	X
ejpam-3395	535	2	14	14	NUM
ejpam-3395	535	3	]	]	PUNCT
ejpam-3395	535	4	t.	t.	PROPN
ejpam-3395	535	5	e.	e.	PROPN
ejpam-3395	535	6	duncan	duncan	PROPN
ejpam-3395	535	7	,	,	PUNCT
ejpam-3395	535	8	y.	y.	PROPN
ejpam-3395	535	9	hu	hu	PROPN
ejpam-3395	535	10	,	,	PUNCT
ejpam-3395	535	11	and	and	CCONJ
ejpam-3395	535	12	b.	b.	PROPN
ejpam-3395	535	13	pasik	pasik	PROPN
ejpam-3395	535	14	-	-	PUNCT
ejpam-3395	535	15	duncan	duncan	PROPN
ejpam-3395	535	16	.	.	PUNCT
ejpam-3395	536	1	stochastic	stochastic	ADJ
ejpam-3395	536	2	calculus	calculus	NOUN
ejpam-3395	536	3	for	for	ADP
ejpam-3395	536	4	fractional	fractional	ADJ
ejpam-3395	536	5	brownian	brownian	PROPN
ejpam-3395	536	6	motion	motion	NOUN
ejpam-3395	536	7	i.	i.	PROPN
ejpam-3395	536	8	theory	theory	PROPN
ejpam-3395	536	9	.	.	PUNCT
ejpam-3395	537	1	siam	siam	PROPN
ejpam-3395	537	2	journal	journal	PROPN
ejpam-3395	537	3	on	on	ADP
ejpam-3395	537	4	control	control	NOUN
ejpam-3395	537	5	and	and	CCONJ
ejpam-3395	537	6	optimization	optimization	NOUN
ejpam-3395	537	7	,	,	PUNCT
ejpam-3395	537	8	38(2):582–612	38(2):582–612	PROPN
ejpam-3395	537	9	,	,	PUNCT
ejpam-3395	537	10	2000	2000	NUM
ejpam-3395	537	11	.	.	PUNCT
ejpam-3395	538	1	[	[	X
ejpam-3395	538	2	15	15	NUM
ejpam-3395	538	3	]	]	X
ejpam-3395	538	4	s.	s.	PROPN
ejpam-3395	538	5	l.	l.	PROPN
ejpam-3395	538	6	heston	heston	PROPN
ejpam-3395	538	7	.	.	PUNCT
ejpam-3395	539	1	a	a	DET
ejpam-3395	539	2	closed	close	VERB
ejpam-3395	539	3	-	-	PUNCT
ejpam-3395	539	4	form	form	NOUN
ejpam-3395	539	5	solution	solution	NOUN
ejpam-3395	539	6	for	for	ADP
ejpam-3395	539	7	options	option	NOUN
ejpam-3395	539	8	with	with	ADP
ejpam-3395	539	9	stochastic	stochastic	ADJ
ejpam-3395	539	10	volatility	volatility	NOUN
ejpam-3395	539	11	with	with	ADP
ejpam-3395	539	12	applications	application	NOUN
ejpam-3395	539	13	to	to	PART
ejpam-3395	539	14	bond	bond	NOUN
ejpam-3395	539	15	and	and	CCONJ
ejpam-3395	539	16	currency	currency	NOUN
ejpam-3395	539	17	options	option	NOUN
ejpam-3395	539	18	.	.	PUNCT
ejpam-3395	540	1	the	the	DET
ejpam-3395	540	2	review	review	NOUN
ejpam-3395	540	3	of	of	ADP
ejpam-3395	540	4	financial	financial	ADJ
ejpam-3395	540	5	studies	study	NOUN
ejpam-3395	540	6	,	,	PUNCT
ejpam-3395	540	7	6(2):327–343	6(2):327–343	NOUN
ejpam-3395	540	8	,	,	PUNCT
ejpam-3395	540	9	1993	1993	NUM
ejpam-3395	540	10	.	.	PUNCT
ejpam-3395	541	1	[	[	X
ejpam-3395	541	2	16	16	NUM
ejpam-3395	541	3	]	]	X
ejpam-3395	541	4	d.	d.	PROPN
ejpam-3395	541	5	j.	j.	PROPN
ejpam-3395	541	6	higham	higham	PROPN
ejpam-3395	541	7	.	.	PUNCT
ejpam-3395	542	1	an	an	DET
ejpam-3395	542	2	algorithmic	algorithmic	ADJ
ejpam-3395	542	3	introduction	introduction	NOUN
ejpam-3395	542	4	to	to	ADP
ejpam-3395	542	5	numerical	numerical	ADJ
ejpam-3395	542	6	simulation	simulation	NOUN
ejpam-3395	542	7	of	of	ADP
ejpam-3395	542	8	stochastic	stochastic	ADJ
ejpam-3395	542	9	differential	differential	ADJ
ejpam-3395	542	10	equations	equation	NOUN
ejpam-3395	542	11	.	.	PUNCT
ejpam-3395	543	1	siam	siam	PROPN
ejpam-3395	543	2	review	review	PROPN
ejpam-3395	543	3	,	,	PUNCT
ejpam-3395	543	4	43(3):525–546	43(3):525–546	PROPN
ejpam-3395	543	5	,	,	PUNCT
ejpam-3395	543	6	2001	2001	NUM
ejpam-3395	543	7	.	.	PUNCT
ejpam-3395	544	1	[	[	X
ejpam-3395	544	2	17	17	NUM
ejpam-3395	544	3	]	]	X
ejpam-3395	544	4	h.	h.	PROPN
ejpam-3395	544	5	e.	e.	PROPN
ejpam-3395	544	6	hurst	hurst	PROPN
ejpam-3395	544	7	.	.	PUNCT
ejpam-3395	545	1	long	long	ADJ
ejpam-3395	545	2	-	-	PUNCT
ejpam-3395	545	3	term	term	NOUN
ejpam-3395	545	4	storage	storage	NOUN
ejpam-3395	545	5	capacity	capacity	NOUN
ejpam-3395	545	6	of	of	ADP
ejpam-3395	545	7	reservoirs	reservoir	NOUN
ejpam-3395	545	8	.	.	PUNCT
ejpam-3395	546	1	trans	trans	PROPN
ejpam-3395	546	2	.	.	PUNCT
ejpam-3395	547	1	amer	amer	PROPN
ejpam-3395	547	2	.	.	PUNCT
ejpam-3395	547	3	soc	soc	PROPN
ejpam-3395	547	4	.	.	PUNCT
ejpam-3395	548	1	civil	civil	ADJ
ejpam-3395	548	2	eng	eng	PROPN
ejpam-3395	548	3	.	.	PROPN
ejpam-3395	548	4	,	,	PUNCT
ejpam-3395	548	5	116:770	116:770	NOUN
ejpam-3395	548	6	–	–	PUNCT
ejpam-3395	548	7	799	799	NUM
ejpam-3395	548	8	,	,	PUNCT
ejpam-3395	548	9	1951	1951	NUM
ejpam-3395	548	10	.	.	PUNCT
ejpam-3395	549	1	[	[	X
ejpam-3395	549	2	18	18	NUM
ejpam-3395	549	3	]	]	PUNCT
ejpam-3395	549	4	a.	a.	NOUN
ejpam-3395	549	5	n.	n.	PROPN
ejpam-3395	549	6	kolmogorov	kolmogorov	PROPN
ejpam-3395	549	7	.	.	PUNCT
ejpam-3395	550	1	wienersche	wienersche	PROPN
ejpam-3395	550	2	spiralen	spiralen	PROPN
ejpam-3395	550	3	und	und	PROPN
ejpam-3395	550	4	einige	einige	PROPN
ejpam-3395	550	5	andere	andere	PROPN
ejpam-3395	550	6	interessante	interessante	PROPN
ejpam-3395	550	7	kurven	kurven	PROPN
ejpam-3395	550	8	in	in	ADP
ejpam-3395	550	9	hilbertscen	hilbertscen	PROPN
ejpam-3395	550	10	raum	raum	NOUN
ejpam-3395	550	11	,	,	PUNCT
ejpam-3395	550	12	cr	cr	PROPN
ejpam-3395	550	13	(	(	PUNCT
ejpam-3395	550	14	doklady	doklady	PROPN
ejpam-3395	550	15	)	)	PUNCT
ejpam-3395	550	16	.	.	PUNCT
ejpam-3395	551	1	acad	acad	PROPN
ejpam-3395	551	2	.	.	PUNCT
ejpam-3395	552	1	sci	sci	PROPN
ejpam-3395	552	2	.	.	PUNCT
ejpam-3395	552	3	urss	urss	PROPN
ejpam-3395	552	4	(	(	PUNCT
ejpam-3395	552	5	ns	ns	NUM
ejpam-3395	552	6	)	)	PUNCT
ejpam-3395	552	7	,	,	PUNCT
ejpam-3395	552	8	26:115–118	26:115–118	NUM
ejpam-3395	552	9	,	,	PUNCT
ejpam-3395	552	10	1940	1940	NUM
ejpam-3395	552	11	.	.	PUNCT
ejpam-3395	553	1	[	[	X
ejpam-3395	553	2	19	19	NUM
ejpam-3395	553	3	]	]	X
ejpam-3395	553	4	w.	w.	PROPN
ejpam-3395	553	5	e.	e.	PROPN
ejpam-3395	553	6	leland	leland	PROPN
ejpam-3395	553	7	,	,	PUNCT
ejpam-3395	553	8	m.	m.	PROPN
ejpam-3395	553	9	s.	s.	PROPN
ejpam-3395	553	10	taqqu	taqqu	PROPN
ejpam-3395	553	11	,	,	PUNCT
ejpam-3395	553	12	w.	w.	NOUN
ejpam-3395	553	13	willinger	willinger	NOUN
ejpam-3395	553	14	,	,	PUNCT
ejpam-3395	553	15	and	and	CCONJ
ejpam-3395	553	16	d.	d.	PROPN
ejpam-3395	553	17	v.	v.	PROPN
ejpam-3395	553	18	wilson	wilson	PROPN
ejpam-3395	553	19	.	.	PUNCT
ejpam-3395	554	1	on	on	ADP
ejpam-3395	554	2	the	the	DET
ejpam-3395	554	3	self	self	NOUN
ejpam-3395	554	4	-	-	PUNCT
ejpam-3395	554	5	similar	similar	ADJ
ejpam-3395	554	6	nature	nature	NOUN
ejpam-3395	554	7	of	of	ADP
ejpam-3395	554	8	ethernet	ethernet	NOUN
ejpam-3395	554	9	traffic	traffic	NOUN
ejpam-3395	554	10	(	(	PUNCT
ejpam-3395	554	11	extended	extended	ADJ
ejpam-3395	554	12	version	version	NOUN
ejpam-3395	554	13	)	)	PUNCT
ejpam-3395	554	14	.	.	PUNCT
ejpam-3395	555	1	ieee	ieee	PROPN
ejpam-3395	555	2	/	/	SYM
ejpam-3395	555	3	acm	acm	PROPN
ejpam-3395	555	4	transactions	transaction	NOUN
ejpam-3395	555	5	on	on	ADP
ejpam-3395	555	6	networking	network	VERB
ejpam-3395	555	7	(	(	PUNCT
ejpam-3395	555	8	ton	ton	NOUN
ejpam-3395	555	9	)	)	PUNCT
ejpam-3395	555	10	,	,	PUNCT
ejpam-3395	555	11	2(1):1	2(1):1	PROPN
ejpam-3395	555	12	–	–	PUNCT
ejpam-3395	555	13	15	15	NUM
ejpam-3395	555	14	,	,	PUNCT
ejpam-3395	555	15	1994	1994	NUM
ejpam-3395	555	16	.	.	PUNCT
ejpam-3395	556	1	[	[	X
ejpam-3395	556	2	20	20	NUM
ejpam-3395	556	3	]	]	PUNCT
ejpam-3395	556	4	j.	j.	PROPN
ejpam-3395	556	5	liu	liu	PROPN
ejpam-3395	556	6	.	.	PUNCT
ejpam-3395	557	1	the	the	DET
ejpam-3395	557	2	law	law	NOUN
ejpam-3395	557	3	of	of	ADP
ejpam-3395	557	4	a	a	DET
ejpam-3395	557	5	stochastic	stochastic	ADJ
ejpam-3395	557	6	integral	integral	ADJ
ejpam-3395	557	7	with	with	ADP
ejpam-3395	557	8	two	two	NUM
ejpam-3395	557	9	independent	independent	ADJ
ejpam-3395	557	10	bifractional	bifractional	ADJ
ejpam-3395	557	11	brownian	brownian	ADJ
ejpam-3395	557	12	motions	motion	NOUN
ejpam-3395	557	13	.	.	PUNCT
ejpam-3395	558	1	communications	communication	NOUN
ejpam-3395	558	2	of	of	ADP
ejpam-3395	558	3	the	the	DET
ejpam-3395	558	4	korean	korean	ADJ
ejpam-3395	558	5	mathematical	mathematical	ADJ
ejpam-3395	558	6	society	society	NOUN
ejpam-3395	558	7	,	,	PUNCT
ejpam-3395	558	8	26(4):669–684	26(4):669–684	PROPN
ejpam-3395	558	9	,	,	PUNCT
ejpam-3395	558	10	2011	2011	NUM
ejpam-3395	558	11	.	.	PUNCT
ejpam-3395	559	1	[	[	X
ejpam-3395	559	2	21	21	NUM
ejpam-3395	559	3	]	]	X
ejpam-3395	559	4	f.	f.	PROPN
ejpam-3395	559	5	a.	a.	PROPN
ejpam-3395	559	6	longstaff	longstaff	PROPN
ejpam-3395	559	7	and	and	CCONJ
ejpam-3395	559	8	e.	e.	PROPN
ejpam-3395	559	9	s.	s.	PROPN
ejpam-3395	559	10	schwartz	schwartz	PROPN
ejpam-3395	559	11	.	.	PUNCT
ejpam-3395	560	1	valuing	value	VERB
ejpam-3395	560	2	american	american	ADJ
ejpam-3395	560	3	options	option	NOUN
ejpam-3395	560	4	by	by	ADP
ejpam-3395	560	5	simulation	simulation	NOUN
ejpam-3395	560	6	:	:	PUNCT
ejpam-3395	560	7	a	a	DET
ejpam-3395	560	8	simple	simple	ADJ
ejpam-3395	560	9	leastsquares	leastsquare	NOUN
ejpam-3395	560	10	approach	approach	NOUN
ejpam-3395	560	11	.	.	PUNCT
ejpam-3395	561	1	the	the	DET
ejpam-3395	561	2	review	review	NOUN
ejpam-3395	561	3	of	of	ADP
ejpam-3395	561	4	financial	financial	ADJ
ejpam-3395	561	5	studies	study	NOUN
ejpam-3395	561	6	,	,	PUNCT
ejpam-3395	561	7	14(1):113–147	14(1):113–147	PROPN
ejpam-3395	561	8	,	,	PUNCT
ejpam-3395	561	9	2001	2001	NUM
ejpam-3395	561	10	.	.	PUNCT
ejpam-3395	562	1	[	[	X
ejpam-3395	562	2	22	22	NUM
ejpam-3395	562	3	]	]	X
ejpam-3395	562	4	b.	b.	PROPN
ejpam-3395	562	5	b.	b.	PROPN
ejpam-3395	562	6	mandelbrot	mandelbrot	PROPN
ejpam-3395	562	7	.	.	PUNCT
ejpam-3395	563	1	the	the	DET
ejpam-3395	563	2	variation	variation	NOUN
ejpam-3395	563	3	of	of	ADP
ejpam-3395	563	4	certain	certain	ADJ
ejpam-3395	563	5	speculative	speculative	ADJ
ejpam-3395	563	6	prices	price	NOUN
ejpam-3395	563	7	.	.	PUNCT
ejpam-3395	564	1	in	in	ADP
ejpam-3395	564	2	fractals	fractal	NOUN
ejpam-3395	564	3	and	and	CCONJ
ejpam-3395	564	4	scaling	scale	VERB
ejpam-3395	564	5	in	in	ADP
ejpam-3395	564	6	finance	finance	NOUN
ejpam-3395	564	7	,	,	PUNCT
ejpam-3395	564	8	pages	page	NOUN
ejpam-3395	564	9	371–418	371–418	NUM
ejpam-3395	564	10	.	.	PUNCT
ejpam-3395	564	11	springer	springer	NOUN
ejpam-3395	564	12	,	,	PUNCT
ejpam-3395	564	13	1997	1997	NUM
ejpam-3395	564	14	.	.	PUNCT
ejpam-3395	565	1	[	[	X
ejpam-3395	565	2	23	23	NUM
ejpam-3395	565	3	]	]	X
ejpam-3395	565	4	b.	b.	PROPN
ejpam-3395	565	5	b.	b.	PROPN
ejpam-3395	565	6	mandelbrot	mandelbrot	PROPN
ejpam-3395	565	7	and	and	CCONJ
ejpam-3395	565	8	j.	j.	PROPN
ejpam-3395	565	9	w.	w.	PROPN
ejpam-3395	565	10	van	van	PROPN
ejpam-3395	565	11	ness	ness	PROPN
ejpam-3395	565	12	.	.	PUNCT
ejpam-3395	566	1	fractional	fractional	ADJ
ejpam-3395	566	2	brownian	brownian	ADJ
ejpam-3395	566	3	motions	motion	NOUN
ejpam-3395	566	4	,	,	PUNCT
ejpam-3395	566	5	fractional	fractional	ADJ
ejpam-3395	566	6	noises	noise	NOUN
ejpam-3395	566	7	and	and	CCONJ
ejpam-3395	566	8	applications	application	NOUN
ejpam-3395	566	9	.	.	PUNCT
ejpam-3395	567	1	siam	siam	PROPN
ejpam-3395	567	2	review	review	PROPN
ejpam-3395	567	3	,	,	PUNCT
ejpam-3395	567	4	10(4):422–437	10(4):422–437	PROPN
ejpam-3395	567	5	,	,	PUNCT
ejpam-3395	567	6	1968	1968	NUM
ejpam-3395	567	7	.	.	PUNCT
ejpam-3395	568	1	references	reference	NOUN
ejpam-3395	568	2	468	468	NUM
ejpam-3395	569	1	[	[	X
ejpam-3395	569	2	24	24	NUM
ejpam-3395	569	3	]	]	PUNCT
ejpam-3395	569	4	f.	f.	PROPN
ejpam-3395	569	5	mehrdoust	mehrdoust	PROPN
ejpam-3395	569	6	,	,	PUNCT
ejpam-3395	569	7	a.	a.	PROPN
ejpam-3395	569	8	r.	r.	PROPN
ejpam-3395	569	9	najafi	najafi	PROPN
ejpam-3395	569	10	,	,	PUNCT
ejpam-3395	569	11	s.	s.	PROPN
ejpam-3395	569	12	fallah	fallah	PROPN
ejpam-3395	569	13	,	,	PUNCT
ejpam-3395	569	14	and	and	CCONJ
ejpam-3395	569	15	o.	o.	PROPN
ejpam-3395	569	16	samimi	samimi	PROPN
ejpam-3395	569	17	.	.	PUNCT
ejpam-3395	569	18	mixed	mix	VERB
ejpam-3395	569	19	fractional	fractional	ADJ
ejpam-3395	569	20	heston	heston	PROPN
ejpam-3395	569	21	model	model	NOUN
ejpam-3395	569	22	and	and	CCONJ
ejpam-3395	569	23	the	the	DET
ejpam-3395	569	24	pricing	pricing	NOUN
ejpam-3395	569	25	of	of	ADP
ejpam-3395	569	26	american	american	ADJ
ejpam-3395	569	27	options	option	NOUN
ejpam-3395	569	28	.	.	PUNCT
ejpam-3395	570	1	journal	journal	NOUN
ejpam-3395	570	2	of	of	ADP
ejpam-3395	570	3	computational	computational	ADJ
ejpam-3395	570	4	and	and	CCONJ
ejpam-3395	570	5	applied	applied	ADJ
ejpam-3395	570	6	mathematics	mathematic	NOUN
ejpam-3395	570	7	,	,	PUNCT
ejpam-3395	570	8	330:141–154	330:141–154	NUM
ejpam-3395	570	9	,	,	PUNCT
ejpam-3395	570	10	2018	2018	NUM
ejpam-3395	570	11	.	.	PUNCT
ejpam-3395	571	1	[	[	X
ejpam-3395	571	2	25	25	NUM
ejpam-3395	571	3	]	]	PUNCT
ejpam-3395	571	4	i.	i.	PROPN
ejpam-3395	571	5	s.	s.	PROPN
ejpam-3395	571	6	mishura	mishura	PROPN
ejpam-3395	571	7	,	,	PUNCT
ejpam-3395	571	8	i.	i.	PROPN
ejpam-3395	571	9	s.	s.	PROPN
ejpam-3395	571	10	mishura	mishura	PROPN
ejpam-3395	571	11	,	,	PUNCT
ejpam-3395	571	12	y.	y.	PROPN
ejpam-3395	571	13	mishura	mishura	PROPN
ejpam-3395	571	14	,	,	PUNCT
ejpam-3395	571	15	j.	j.	PROPN
ejpam-3395	571	16	s.	s.	PROPN
ejpam-3395	571	17	mǐsura	mǐsura	PROPN
ejpam-3395	571	18	,	,	PUNCT
ejpam-3395	571	19	and	and	CCONJ
ejpam-3395	571	20	û.	û.	PROPN
ejpam-3395	571	21	s.	s.	PROPN
ejpam-3395	571	22	mǐsura	mǐsura	PROPN
ejpam-3395	571	23	.	.	PUNCT
ejpam-3395	572	1	stochastic	stochastic	ADJ
ejpam-3395	572	2	calculus	calculus	NOUN
ejpam-3395	572	3	for	for	ADP
ejpam-3395	572	4	fractional	fractional	ADJ
ejpam-3395	572	5	brownian	brownian	ADJ
ejpam-3395	572	6	motion	motion	NOUN
ejpam-3395	572	7	and	and	CCONJ
ejpam-3395	572	8	related	related	ADJ
ejpam-3395	572	9	processes	process	NOUN
ejpam-3395	572	10	,	,	PUNCT
ejpam-3395	572	11	volume	volume	NOUN
ejpam-3395	572	12	1929	1929	NUM
ejpam-3395	572	13	.	.	PUNCT
ejpam-3395	573	1	springer	springer	NOUN
ejpam-3395	573	2	science	science	PROPN
ejpam-3395	573	3	&	&	CCONJ
ejpam-3395	573	4	business	business	NOUN
ejpam-3395	573	5	media	medium	NOUN
ejpam-3395	573	6	,	,	PUNCT
ejpam-3395	573	7	2008	2008	NUM
ejpam-3395	573	8	.	.	PUNCT
ejpam-3395	574	1	[	[	X
ejpam-3395	574	2	26	26	NUM
ejpam-3395	574	3	]	]	X
ejpam-3395	574	4	f.	f.	PROPN
ejpam-3395	574	5	russo	russo	PROPN
ejpam-3395	574	6	and	and	CCONJ
ejpam-3395	574	7	p.	p.	NOUN
ejpam-3395	574	8	vallois	vallois	NOUN
ejpam-3395	574	9	.	.	PUNCT
ejpam-3395	575	1	forward	forward	ADV
ejpam-3395	575	2	,	,	PUNCT
ejpam-3395	575	3	backward	backward	ADJ
ejpam-3395	575	4	and	and	CCONJ
ejpam-3395	575	5	symmetric	symmetric	ADJ
ejpam-3395	575	6	stochastic	stochastic	ADJ
ejpam-3395	575	7	integration	integration	NOUN
ejpam-3395	575	8	.	.	PUNCT
ejpam-3395	576	1	probability	probability	NOUN
ejpam-3395	576	2	theory	theory	NOUN
ejpam-3395	576	3	and	and	CCONJ
ejpam-3395	576	4	related	related	ADJ
ejpam-3395	576	5	fields	field	NOUN
ejpam-3395	576	6	,	,	PUNCT
ejpam-3395	576	7	97(3):403–421	97(3):403–421	NOUN
ejpam-3395	576	8	,	,	PUNCT
ejpam-3395	576	9	1993	1993	NUM
ejpam-3395	576	10	.	.	PUNCT
ejpam-3395	577	1	[	[	X
ejpam-3395	577	2	27	27	NUM
ejpam-3395	577	3	]	]	PUNCT
ejpam-3395	577	4	t.	t.	PROPN
ejpam-3395	577	5	taniguchi	taniguchi	PROPN
ejpam-3395	577	6	.	.	PUNCT
ejpam-3395	578	1	the	the	DET
ejpam-3395	578	2	existence	existence	NOUN
ejpam-3395	578	3	and	and	CCONJ
ejpam-3395	578	4	uniqueness	uniqueness	NOUN
ejpam-3395	578	5	of	of	ADP
ejpam-3395	578	6	energy	energy	NOUN
ejpam-3395	578	7	solutions	solution	NOUN
ejpam-3395	578	8	to	to	ADP
ejpam-3395	578	9	local	local	ADJ
ejpam-3395	578	10	non	non	ADJ
ejpam-3395	578	11	-	-	ADJ
ejpam-3395	578	12	lipschitz	lipschitz	ADJ
ejpam-3395	578	13	stochastic	stochastic	ADJ
ejpam-3395	578	14	evolution	evolution	NOUN
ejpam-3395	578	15	equations	equation	NOUN
ejpam-3395	578	16	.	.	PUNCT
ejpam-3395	579	1	journal	journal	PROPN
ejpam-3395	579	2	of	of	ADP
ejpam-3395	579	3	mathematical	mathematical	ADJ
ejpam-3395	579	4	analysis	analysis	NOUN
ejpam-3395	579	5	and	and	CCONJ
ejpam-3395	579	6	applications	application	NOUN
ejpam-3395	579	7	,	,	PUNCT
ejpam-3395	579	8	360(1):245–253	360(1):245–253	NUM
ejpam-3395	579	9	,	,	PUNCT
ejpam-3395	579	10	2009	2009	NUM
ejpam-3395	579	11	.	.	PUNCT
ejpam-3395	580	1	[	[	X
ejpam-3395	580	2	28	28	NUM
ejpam-3395	580	3	]	]	X
ejpam-3395	580	4	y.	y.	PROPN
ejpam-3395	580	5	xu	xu	PROPN
ejpam-3395	580	6	,	,	PUNCT
ejpam-3395	580	7	b.	b.	PROPN
ejpam-3395	580	8	pei	pei	PROPN
ejpam-3395	580	9	,	,	PUNCT
ejpam-3395	580	10	and	and	CCONJ
ejpam-3395	580	11	j	j	PROPN
ejpam-3395	580	12	-	-	PROPN
ejpam-3395	580	13	l	l	ADJ
ejpam-3395	580	14	wu	wu	PROPN
ejpam-3395	580	15	.	.	PUNCT
ejpam-3395	581	1	stochastic	stochastic	ADJ
ejpam-3395	581	2	averaging	average	VERB
ejpam-3395	581	3	principle	principle	NOUN
ejpam-3395	581	4	for	for	ADP
ejpam-3395	581	5	differential	differential	ADJ
ejpam-3395	581	6	equations	equation	NOUN
ejpam-3395	581	7	with	with	ADP
ejpam-3395	581	8	non	non	ADJ
ejpam-3395	581	9	-	-	ADJ
ejpam-3395	581	10	lipschitz	lipschitz	ADJ
ejpam-3395	581	11	coefficients	coefficient	NOUN
ejpam-3395	581	12	driven	drive	VERB
ejpam-3395	581	13	by	by	ADP
ejpam-3395	581	14	fractional	fractional	ADJ
ejpam-3395	581	15	brownian	brownian	ADJ
ejpam-3395	581	16	motion	motion	NOUN
ejpam-3395	581	17	.	.	PUNCT
ejpam-3395	582	1	stochastics	stochastic	NOUN
ejpam-3395	582	2	and	and	CCONJ
ejpam-3395	582	3	dynamics	dynamic	NOUN
ejpam-3395	582	4	,	,	PUNCT
ejpam-3395	582	5	17(02):1750013	17(02):1750013	NUM
ejpam-3395	582	6	,	,	PUNCT
ejpam-3395	582	7	2017	2017	NUM
ejpam-3395	582	8	.	.	PUNCT
ejpam-3395	583	1	[	[	X
ejpam-3395	583	2	29	29	NUM
ejpam-3395	583	3	]	]	X
ejpam-3395	583	4	t.	t.	PROPN
ejpam-3395	583	5	yamada	yamada	PROPN
ejpam-3395	583	6	.	.	PUNCT
ejpam-3395	584	1	on	on	ADP
ejpam-3395	584	2	a	a	DET
ejpam-3395	584	3	comparison	comparison	NOUN
ejpam-3395	584	4	theorem	theorem	VERB
ejpam-3395	584	5	for	for	ADP
ejpam-3395	584	6	solutions	solution	NOUN
ejpam-3395	584	7	of	of	ADP
ejpam-3395	584	8	stochastic	stochastic	ADJ
ejpam-3395	584	9	differential	differential	ADJ
ejpam-3395	584	10	equations	equation	NOUN
ejpam-3395	584	11	and	and	CCONJ
ejpam-3395	584	12	its	its	PRON
ejpam-3395	584	13	applications	application	NOUN
ejpam-3395	584	14	.	.	PUNCT
ejpam-3395	585	1	1973	1973	NUM
ejpam-3395	585	2	.	.	PUNCT
ejpam-3395	586	1	[	[	X
ejpam-3395	586	2	30	30	NUM
ejpam-3395	586	3	]	]	PUNCT
ejpam-3395	586	4	t.	t.	PROPN
ejpam-3395	586	5	yamada	yamada	PROPN
ejpam-3395	586	6	et	et	PROPN
ejpam-3395	586	7	al	al	PROPN
ejpam-3395	586	8	.	.	PROPN
ejpam-3395	587	1	on	on	ADP
ejpam-3395	587	2	the	the	DET
ejpam-3395	587	3	successive	successive	ADJ
ejpam-3395	587	4	approximation	approximation	NOUN
ejpam-3395	587	5	of	of	ADP
ejpam-3395	587	6	solutions	solution	NOUN
ejpam-3395	587	7	of	of	ADP
ejpam-3395	587	8	stochastic	stochastic	ADJ
ejpam-3395	587	9	differential	differential	ADJ
ejpam-3395	587	10	equations	equation	NOUN
ejpam-3395	587	11	.	.	PUNCT
ejpam-3395	588	1	journal	journal	NOUN
ejpam-3395	588	2	of	of	ADP
ejpam-3395	588	3	mathematics	mathematics	PROPN
ejpam-3395	588	4	of	of	ADP
ejpam-3395	588	5	kyoto	kyoto	PROPN
ejpam-3395	588	6	university	university	PROPN
ejpam-3395	588	7	,	,	PUNCT
ejpam-3395	588	8	21(3):501–515	21(3):501–515	PROPN
ejpam-3395	588	9	,	,	PUNCT
ejpam-3395	588	10	1981	1981	NUM
ejpam-3395	588	11	.	.	PUNCT
ejpam-3395	589	1	[	[	X
ejpam-3395	589	2	31	31	NUM
ejpam-3395	589	3	]	]	PUNCT
ejpam-3395	589	4	t.	t.	PROPN
ejpam-3395	589	5	yamada	yamada	PROPN
ejpam-3395	589	6	,	,	PUNCT
ejpam-3395	589	7	shinzo	shinzo	PROPN
ejpam-3395	589	8	watanabe	watanabe	PROPN
ejpam-3395	589	9	,	,	PUNCT
ejpam-3395	589	10	et	et	PROPN
ejpam-3395	589	11	al	al	PROPN
ejpam-3395	589	12	.	.	PROPN
ejpam-3395	590	1	on	on	ADP
ejpam-3395	590	2	the	the	DET
ejpam-3395	590	3	uniqueness	uniqueness	NOUN
ejpam-3395	590	4	of	of	ADP
ejpam-3395	590	5	solutions	solution	NOUN
ejpam-3395	590	6	of	of	ADP
ejpam-3395	590	7	stochastic	stochastic	ADJ
ejpam-3395	590	8	differential	differential	ADJ
ejpam-3395	590	9	equations	equation	NOUN
ejpam-3395	590	10	.	.	PUNCT
ejpam-3395	591	1	journal	journal	NOUN
ejpam-3395	591	2	of	of	ADP
ejpam-3395	591	3	mathematics	mathematics	PROPN
ejpam-3395	591	4	of	of	ADP
ejpam-3395	591	5	kyoto	kyoto	PROPN
ejpam-3395	591	6	university	university	PROPN
ejpam-3395	591	7	,	,	PUNCT
ejpam-3395	591	8	11(1):155–167	11(1):155–167	NUM
ejpam-3395	591	9	,	,	PUNCT
ejpam-3395	591	10	1971	1971	NUM
ejpam-3395	591	11	.	.	PUNCT