id	sid	tid	token	lemma	pos
ma-142	1	1	2023	2023	NUM
ma-142	1	2	ada	ada	PROPN
ma-142	1	3	academica	academica	PROPN
ma-142	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-142	1	5	.	.	PUNCT
ma-142	2	1	j.	j.	PROPN
ma-142	2	2	math	math	PROPN
ma-142	2	3	.	.	PUNCT
ma-142	3	1	anal	anal	ADJ
ma-142	3	2	.	.	PUNCT
ma-142	4	1	3	3	NUM
ma-142	4	2	(	(	PUNCT
ma-142	4	3	2023	2023	NUM
ma-142	4	4	)	)	PUNCT
ma-142	4	5	14doi	14doi	NOUN
ma-142	4	6	:	:	PUNCT
ma-142	4	7	10.28924	10.28924	NUM
ma-142	4	8	/	/	SYM
ma-142	4	9	ada	ada	NOUN
ma-142	4	10	/	/	SYM
ma-142	4	11	ma.3.14	ma.3.14	NOUN
ma-142	4	12	on	on	ADP
ma-142	4	13	the	the	DET
ma-142	4	14	kolmogorov	kolmogorov	ADJ
ma-142	4	15	distance	distance	NOUN
ma-142	4	16	for	for	ADP
ma-142	4	17	the	the	DET
ma-142	4	18	least	least	ADJ
ma-142	4	19	squares	square	NOUN
ma-142	4	20	estimator	estimator	NOUN
ma-142	4	21	in	in	ADP
ma-142	4	22	the	the	DET
ma-142	4	23	fractional	fractional	ADJ
ma-142	4	24	ornstein	ornstein	PROPN
ma-142	4	25	-	-	PUNCT
ma-142	4	26	uhlenbeck	uhlenbeck	PROPN
ma-142	4	27	process	process	PROPN
ma-142	4	28	jaya	jaya	PROPN
ma-142	4	29	p.	p.	PROPN
ma-142	4	30	n.	n.	PROPN
ma-142	4	31	bishwal	bishwal	PROPN
ma-142	4	32	department	department	PROPN
ma-142	4	33	of	of	ADP
ma-142	4	34	mathematics	mathematics	PROPN
ma-142	4	35	and	and	CCONJ
ma-142	4	36	statistics	statistic	NOUN
ma-142	4	37	,	,	PUNCT
ma-142	4	38	university	university	PROPN
ma-142	4	39	of	of	ADP
ma-142	4	40	north	north	PROPN
ma-142	4	41	carolina	carolina	PROPN
ma-142	4	42	at	at	ADP
ma-142	4	43	charlotte,376	charlotte,376	PROPN
ma-142	4	44	fretwell	fretwell	NOUN
ma-142	4	45	bldg	bldg	PROPN
ma-142	4	46	,	,	PUNCT
ma-142	4	47	9201	9201	NUM
ma-142	4	48	university	university	NOUN
ma-142	4	49	city	city	NOUN
ma-142	4	50	blvd	blvd	PROPN
ma-142	4	51	.	.	PUNCT
ma-142	5	1	charlotte	charlotte	PROPN
ma-142	5	2	,	,	PUNCT
ma-142	5	3	nc	nc	PROPN
ma-142	5	4	28223	28223	NUM
ma-142	5	5	,	,	PUNCT
ma-142	5	6	usacorrespondence	usacorrespondence	NOUN
ma-142	5	7	:	:	PUNCT
ma-142	5	8	j.bishwal@uncc.edu	j.bishwal@uncc.edu	PROPN
ma-142	5	9	abstract	abstract	ADJ
ma-142	5	10	.	.	PUNCT
ma-142	6	1	the	the	DET
ma-142	6	2	paper	paper	NOUN
ma-142	6	3	shows	show	VERB
ma-142	6	4	that	that	SCONJ
ma-142	6	5	the	the	DET
ma-142	6	6	distribution	distribution	NOUN
ma-142	6	7	of	of	ADP
ma-142	6	8	the	the	DET
ma-142	6	9	normalized	normalize	VERB
ma-142	6	10	least	least	ADJ
ma-142	6	11	squares	square	NOUN
ma-142	6	12	estimator	estimator	NOUN
ma-142	6	13	of	of	ADP
ma-142	6	14	the	the	DET
ma-142	6	15	driftparameter	driftparameter	NOUN
ma-142	6	16	in	in	ADP
ma-142	6	17	the	the	DET
ma-142	6	18	fractional	fractional	ADJ
ma-142	6	19	ornstein	ornstein	PROPN
ma-142	6	20	-	-	PUNCT
ma-142	6	21	uhlenbeck	uhlenbeck	PROPN
ma-142	6	22	process	process	NOUN
ma-142	6	23	observed	observe	VERB
ma-142	6	24	over	over	ADP
ma-142	6	25	[	[	X
ma-142	6	26	0	0	NUM
ma-142	6	27	,	,	PUNCT
ma-142	6	28	t	t	X
ma-142	6	29	]	]	PUNCT
ma-142	6	30	converges	converge	VERB
ma-142	6	31	to	to	ADP
ma-142	6	32	the	the	DET
ma-142	6	33	standardnormal	standardnormal	ADJ
ma-142	6	34	distribution	distribution	NOUN
ma-142	6	35	with	with	ADP
ma-142	6	36	an	an	DET
ma-142	6	37	uniform	uniform	ADJ
ma-142	6	38	optimal	optimal	ADJ
ma-142	6	39	error	error	NOUN
ma-142	6	40	bound	bind	VERB
ma-142	6	41	of	of	ADP
ma-142	6	42	the	the	DET
ma-142	6	43	order	order	NOUN
ma-142	6	44	o(t−1/2	o(t−1/2	NOUN
ma-142	6	45	)	)	PUNCT
ma-142	6	46	for	for	ADP
ma-142	6	47	0.5	0.5	NUM
ma-142	6	48	≤	≤	NUM
ma-142	6	49	h	h	NOUN
ma-142	6	50	≤	≤	NOUN
ma-142	6	51	0.63and	0.63and	NUM
ma-142	6	52	of	of	ADP
ma-142	6	53	the	the	DET
ma-142	6	54	order	order	NOUN
ma-142	6	55	o(t	o(t	PROPN
ma-142	6	56	4h−3	4h−3	NUM
ma-142	6	57	)	)	PUNCT
ma-142	6	58	for	for	ADP
ma-142	6	59	0.63	0.63	NUM
ma-142	6	60	<	<	X
ma-142	6	61	h	h	NOUN
ma-142	6	62	<	<	X
ma-142	6	63	0.75	0.75	NUM
ma-142	6	64	where	where	SCONJ
ma-142	6	65	h	h	NOUN
ma-142	6	66	is	be	AUX
ma-142	6	67	the	the	DET
ma-142	6	68	hurst	hurst	PROPN
ma-142	6	69	exponent	exponent	NOUN
ma-142	6	70	of	of	ADP
ma-142	6	71	the	the	DET
ma-142	6	72	fractionalbrownian	fractionalbrownian	PROPN
ma-142	6	73	motion	motion	NOUN
ma-142	6	74	driving	drive	VERB
ma-142	6	75	the	the	DET
ma-142	6	76	ornstein	ornstein	PROPN
ma-142	6	77	-	-	PUNCT
ma-142	6	78	uhlenbeck	uhlenbeck	PROPN
ma-142	6	79	process	process	NOUN
ma-142	6	80	.	.	PUNCT
ma-142	7	1	for	for	ADP
ma-142	7	2	the	the	DET
ma-142	7	3	normalized	normalized	ADJ
ma-142	7	4	quasi	quasi	ADJ
ma-142	7	5	-	-	ADJ
ma-142	7	6	least	least	ADJ
ma-142	7	7	squaresestimator	squaresestimator	NOUN
ma-142	7	8	,	,	PUNCT
ma-142	7	9	the	the	DET
ma-142	7	10	error	error	NOUN
ma-142	7	11	bound	bind	VERB
ma-142	7	12	is	be	AUX
ma-142	7	13	of	of	ADP
ma-142	7	14	the	the	DET
ma-142	7	15	order	order	NOUN
ma-142	7	16	o(t−1/4	o(t−1/4	NOUN
ma-142	7	17	)	)	PUNCT
ma-142	7	18	for	for	ADP
ma-142	7	19	0.5	0.5	NUM
ma-142	7	20	≤	≤	NUM
ma-142	7	21	h	h	NOUN
ma-142	7	22	≤	≤	NOUN
ma-142	7	23	0.69	0.69	NUM
ma-142	7	24	and	and	CCONJ
ma-142	7	25	of	of	ADP
ma-142	7	26	the	the	DET
ma-142	7	27	order	order	NOUN
ma-142	7	28	o(t	o(t	PROPN
ma-142	7	29	4h−3)for	4h−3)for	ADP
ma-142	7	30	0.69	0.69	NUM
ma-142	7	31	<	<	X
ma-142	7	32	h	h	NOUN
ma-142	7	33	<	<	X
ma-142	7	34	0.75	0.75	NUM
ma-142	7	35	.	.	PUNCT
ma-142	8	1	1	1	NUM
ma-142	8	2	.	.	X
ma-142	8	3	introductionthe	introductionthe	PROPN
ma-142	8	4	fractional	fractional	PROPN
ma-142	8	5	ornstein	ornstein	PROPN
ma-142	8	6	-	-	PUNCT
ma-142	8	7	uhlenbeck	uhlenbeck	PROPN
ma-142	8	8	process	process	NOUN
ma-142	8	9	,	,	PUNCT
ma-142	8	10	is	be	AUX
ma-142	8	11	an	an	DET
ma-142	8	12	extension	extension	NOUN
ma-142	8	13	of	of	ADP
ma-142	8	14	ornstein	ornstein	PROPN
ma-142	8	15	-	-	PUNCT
ma-142	8	16	uhlenbeck	uhlenbeck	PROPN
ma-142	8	17	process	process	NOUN
ma-142	8	18	withfractional	withfractional	ADJ
ma-142	8	19	brownian	brownian	ADJ
ma-142	8	20	motion	motion	NOUN
ma-142	8	21	(	(	PUNCT
ma-142	8	22	fbm	fbm	NOUN
ma-142	8	23	)	)	PUNCT
ma-142	8	24	driving	drive	VERB
ma-142	8	25	term	term	NOUN
ma-142	8	26	.	.	PUNCT
ma-142	9	1	in	in	ADP
ma-142	9	2	finance	finance	NOUN
ma-142	9	3	it	it	PRON
ma-142	9	4	is	be	AUX
ma-142	9	5	known	know	VERB
ma-142	9	6	as	as	ADP
ma-142	9	7	fractional	fractional	ADJ
ma-142	9	8	vasicek	vasicek	PROPN
ma-142	9	9	model	model	NOUN
ma-142	9	10	,	,	PUNCT
ma-142	9	11	and	and	CCONJ
ma-142	9	12	is	be	AUX
ma-142	9	13	being	be	AUX
ma-142	9	14	extensively	extensively	ADV
ma-142	9	15	used	use	VERB
ma-142	9	16	these	these	DET
ma-142	9	17	days	day	NOUN
ma-142	9	18	as	as	ADP
ma-142	9	19	one	one	NUM
ma-142	9	20	-	-	PUNCT
ma-142	9	21	factor	factor	NOUN
ma-142	9	22	short	short	ADJ
ma-142	9	23	-	-	PUNCT
ma-142	9	24	term	term	NOUN
ma-142	9	25	interest	interest	NOUN
ma-142	9	26	rate	rate	NOUN
ma-142	9	27	model	model	NOUN
ma-142	9	28	which	which	DET
ma-142	9	29	takesinto	takesinto	NOUN
ma-142	9	30	account	account	VERB
ma-142	9	31	the	the	DET
ma-142	9	32	long	long	ADJ
ma-142	9	33	memory	memory	NOUN
ma-142	9	34	effect	effect	NOUN
ma-142	9	35	of	of	ADP
ma-142	9	36	the	the	DET
ma-142	9	37	interest	interest	NOUN
ma-142	9	38	rate	rate	NOUN
ma-142	9	39	.	.	PUNCT
ma-142	10	1	the	the	DET
ma-142	10	2	model	model	NOUN
ma-142	10	3	parameter	parameter	NOUN
ma-142	10	4	is	be	AUX
ma-142	10	5	usually	usually	ADV
ma-142	10	6	unknownand	unknownand	ADJ
ma-142	10	7	must	must	AUX
ma-142	10	8	be	be	AUX
ma-142	10	9	estimated	estimate	VERB
ma-142	10	10	from	from	ADP
ma-142	10	11	data.parameter	data.parameter	NOUN
ma-142	10	12	estimation	estimation	NOUN
ma-142	10	13	in	in	ADP
ma-142	10	14	stochastic	stochastic	ADJ
ma-142	10	15	differential	differential	ADJ
ma-142	10	16	equations	equation	NOUN
ma-142	10	17	is	be	AUX
ma-142	10	18	studied	study	VERB
ma-142	10	19	in	in	ADP
ma-142	10	20	bishwal	bishwal	NOUN
ma-142	10	21	[	[	X
ma-142	10	22	1	1	NUM
ma-142	10	23	]	]	PUNCT
ma-142	10	24	.	.	PUNCT
ma-142	11	1	for	for	ADP
ma-142	11	2	thestandard	thestandard	PROPN
ma-142	11	3	ornstein	ornstein	PROPN
ma-142	11	4	-	-	PUNCT
ma-142	11	5	uhlenbeck	uhlenbeck	PROPN
ma-142	11	6	process	process	NOUN
ma-142	11	7	,	,	PUNCT
ma-142	11	8	sufficiency	sufficiency	NOUN
ma-142	11	9	and	and	CCONJ
ma-142	11	10	rao	rao	NOUN
ma-142	11	11	-	-	PUNCT
ma-142	11	12	blackwellization	blackwellization	NOUN
ma-142	11	13	was	be	AUX
ma-142	11	14	studied	study	VERB
ma-142	11	15	in	in	ADP
ma-142	11	16	bish	bish	NOUN
ma-142	11	17	-	-	PUNCT
ma-142	11	18	wal	wal	NOUN
ma-142	11	19	[	[	X
ma-142	11	20	4	4	X
ma-142	11	21	]	]	PUNCT
ma-142	11	22	where	where	SCONJ
ma-142	11	23	also	also	ADV
ma-142	11	24	a	a	DET
ma-142	11	25	time	time	NOUN
ma-142	11	26	transformation	transformation	NOUN
ma-142	11	27	to	to	PART
ma-142	11	28	reduce	reduce	VERB
ma-142	11	29	the	the	DET
ma-142	11	30	general	general	ADJ
ma-142	11	31	problem	problem	NOUN
ma-142	11	32	to	to	ADP
ma-142	11	33	a	a	DET
ma-142	11	34	fixed	fix	VERB
ma-142	11	35	time	time	NOUN
ma-142	11	36	case	case	NOUN
ma-142	11	37	andthe	andthe	ADJ
ma-142	11	38	asymptotics	asymptotic	NOUN
ma-142	11	39	were	be	AUX
ma-142	11	40	studied	study	VERB
ma-142	11	41	in	in	ADP
ma-142	11	42	large	large	ADJ
ma-142	11	43	parameter	parameter	NOUN
ma-142	11	44	case	case	NOUN
ma-142	11	45	.	.	PUNCT
ma-142	12	1	for	for	ADP
ma-142	12	2	the	the	DET
ma-142	12	3	fractional	fractional	PROPN
ma-142	12	4	ornstein	ornstein	PROPN
ma-142	12	5	-	-	PUNCT
ma-142	12	6	uhlenbeck	uhlenbeck	ADJ
ma-142	12	7	pro	pro	ADJ
ma-142	12	8	-	-	ADJ
ma-142	12	9	cess	cess	ADJ
ma-142	12	10	,	,	PUNCT
ma-142	12	11	berry	berry	NOUN
ma-142	12	12	-	-	PUNCT
ma-142	12	13	esseen	esseen	PROPN
ma-142	12	14	inequalities	inequality	NOUN
ma-142	12	15	of	of	ADP
ma-142	12	16	minimum	minimum	ADJ
ma-142	12	17	contrast	contrast	NOUN
ma-142	12	18	estimators	estimator	NOUN
ma-142	12	19	based	base	VERB
ma-142	12	20	on	on	ADP
ma-142	12	21	continuous	continuous	ADJ
ma-142	12	22	and	and	CCONJ
ma-142	12	23	discreteobservations	discreteobservation	NOUN
ma-142	12	24	was	be	AUX
ma-142	12	25	studied	study	VERB
ma-142	12	26	in	in	ADP
ma-142	12	27	bishwal	bishwal	NOUN
ma-142	12	28	[	[	X
ma-142	12	29	2	2	NUM
ma-142	12	30	]	]	PUNCT
ma-142	12	31	.	.	PUNCT
ma-142	13	1	hu	hu	PROPN
ma-142	13	2	et	et	PROPN
ma-142	13	3	al	al	PROPN
ma-142	13	4	.	.	PUNCT
ma-142	14	1	[	[	X
ma-142	14	2	11	11	NUM
ma-142	14	3	]	]	PUNCT
ma-142	14	4	studied	study	VERB
ma-142	14	5	parameter	parameter	NOUN
ma-142	14	6	estimation	estimation	NOUN
ma-142	14	7	for	for	ADP
ma-142	14	8	the	the	DET
ma-142	14	9	frac	frac	ADJ
ma-142	14	10	-	-	PUNCT
ma-142	14	11	tional	tional	PROPN
ma-142	14	12	ornstein	ornstein	PROPN
ma-142	14	13	-	-	PUNCT
ma-142	14	14	uhlenbeck	uhlenbeck	PROPN
ma-142	14	15	process	process	NOUN
ma-142	14	16	of	of	ADP
ma-142	14	17	general	general	PROPN
ma-142	14	18	hurst	hurst	PROPN
ma-142	14	19	parameter	parameter	PROPN
ma-142	14	20	.	.	PUNCT
ma-142	15	1	bishwal	bishwal	NOUN
ma-142	16	1	[	[	X
ma-142	16	2	5	5	NUM
ma-142	16	3	]	]	PUNCT
ma-142	16	4	studied	study	VERB
ma-142	16	5	berry	berry	NOUN
ma-142	16	6	-	-	PUNCT
ma-142	16	7	esseeninequalities	esseeninequalitie	NOUN
ma-142	16	8	for	for	ADP
ma-142	16	9	the	the	DET
ma-142	16	10	fractional	fractional	ADJ
ma-142	16	11	black	black	ADJ
ma-142	16	12	-	-	PUNCT
ma-142	16	13	karasinski	karasinski	NOUN
ma-142	16	14	model	model	NOUN
ma-142	16	15	of	of	ADP
ma-142	16	16	term	term	NOUN
ma-142	16	17	structure	structure	NOUN
ma-142	16	18	of	of	ADP
ma-142	16	19	interest	interest	NOUN
ma-142	16	20	rates	rate	NOUN
ma-142	16	21	.	.	PUNCT
ma-142	17	1	usingfractional	usingfractional	ADJ
ma-142	17	2	levy	levy	NOUN
ma-142	17	3	process	process	NOUN
ma-142	17	4	as	as	ADP
ma-142	17	5	the	the	DET
ma-142	17	6	driving	drive	VERB
ma-142	17	7	term	term	NOUN
ma-142	17	8	which	which	PRON
ma-142	17	9	include	include	VERB
ma-142	17	10	jumps	jump	NOUN
ma-142	17	11	,	,	PUNCT
ma-142	17	12	maximum	maximum	ADJ
ma-142	17	13	quasi	quasi	ADJ
ma-142	17	14	-	-	ADJ
ma-142	17	15	likelihood	likelihood	ADJ
ma-142	17	16	estima	estima	PROPN
ma-142	17	17	-	-	PUNCT
ma-142	17	18	tion	tion	NOUN
ma-142	17	19	in	in	ADP
ma-142	17	20	fractional	fractional	ADJ
ma-142	17	21	levy	levy	NOUN
ma-142	17	22	stochastic	stochastic	ADJ
ma-142	17	23	volatility	volatility	NOUN
ma-142	17	24	model	model	NOUN
ma-142	17	25	was	be	AUX
ma-142	17	26	studied	study	VERB
ma-142	17	27	in	in	ADP
ma-142	17	28	bishwal	bishwal	NOUN
ma-142	17	29	[	[	X
ma-142	17	30	3	3	NUM
ma-142	17	31	]	]	PUNCT
ma-142	17	32	.	.	PUNCT
ma-142	18	1	parameter	parameter	PROPN
ma-142	18	2	estimationin	estimationin	PROPN
ma-142	18	3	partially	partially	ADV
ma-142	18	4	observed	observe	VERB
ma-142	18	5	stochastic	stochastic	ADJ
ma-142	18	6	differential	differential	NOUN
ma-142	18	7	system	system	NOUN
ma-142	18	8	was	be	AUX
ma-142	18	9	studied	study	VERB
ma-142	18	10	in	in	ADP
ma-142	18	11	bishwal	bishwal	NOUN
ma-142	18	12	[	[	X
ma-142	18	13	6	6	NUM
ma-142	18	14	]	]	PUNCT
ma-142	18	15	.	.	PUNCT
ma-142	19	1	received	receive	VERB
ma-142	19	2	:	:	PUNCT
ma-142	19	3	12	12	NUM
ma-142	19	4	nov	nov	PROPN
ma-142	19	5	2022	2022	NUM
ma-142	19	6	.	.	PUNCT
ma-142	20	1	key	key	ADJ
ma-142	20	2	words	word	NOUN
ma-142	20	3	and	and	CCONJ
ma-142	20	4	phrases	phrase	NOUN
ma-142	20	5	.	.	PUNCT
ma-142	21	1	itô	itô	ADP
ma-142	21	2	stochastic	stochastic	ADJ
ma-142	21	3	differential	differential	NOUN
ma-142	21	4	equation	equation	NOUN
ma-142	21	5	;	;	PUNCT
ma-142	21	6	fractional	fractional	ADJ
ma-142	21	7	brownian	brownian	ADJ
ma-142	21	8	motion	motion	NOUN
ma-142	21	9	;	;	PUNCT
ma-142	21	10	fractional	fractional	PROPN
ma-142	21	11	ornstein	ornstein	PROPN
ma-142	21	12	-	-	PUNCT
ma-142	21	13	uhlenbeck	uhlenbeck	PROPN
ma-142	21	14	process	process	NOUN
ma-142	21	15	;	;	PUNCT
ma-142	21	16	long	long	ADJ
ma-142	21	17	-	-	PUNCT
ma-142	21	18	memory	memory	NOUN
ma-142	21	19	;	;	PUNCT
ma-142	21	20	least	least	ADJ
ma-142	21	21	squares	square	NOUN
ma-142	21	22	estimator	estimator	NOUN
ma-142	21	23	;	;	PUNCT
ma-142	21	24	quasi	quasi	ADJ
ma-142	21	25	-	-	ADJ
ma-142	21	26	least	least	ADJ
ma-142	21	27	squares	square	NOUN
ma-142	21	28	estimator	estimator	NOUN
ma-142	21	29	;	;	PUNCT
ma-142	21	30	rate	rate	NOUN
ma-142	21	31	of	of	ADP
ma-142	21	32	weak	weak	ADJ
ma-142	21	33	convergence;kolmogorov	convergence;kolmogorov	NOUN
ma-142	21	34	distance	distance	NOUN
ma-142	21	35	;	;	PUNCT
ma-142	21	36	wiener	wiener	NOUN
ma-142	21	37	chaos	chaos	NOUN
ma-142	21	38	;	;	PUNCT
ma-142	21	39	fourier	fourier	ADJ
ma-142	21	40	method	method	NOUN
ma-142	21	41	;	;	PUNCT
ma-142	21	42	analytic	analytic	ADJ
ma-142	21	43	continuation.1	continuation.1	PROPN
ma-142	21	44	https://adac.ee	https://adac.ee	PROPN
ma-142	21	45	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	21	46	eur	eur	PROPN
ma-142	21	47	.	.	PUNCT
ma-142	22	1	j.	j.	PROPN
ma-142	22	2	math	math	PROPN
ma-142	22	3	.	.	PUNCT
ma-142	23	1	anal	anal	PROPN
ma-142	23	2	.	.	PUNCT
ma-142	24	1	10.28924	10.28924	NUM
ma-142	24	2	/	/	SYM
ma-142	24	3	ada	ada	NOUN
ma-142	24	4	/	/	SYM
ma-142	24	5	ma.3.14	ma.3.14	NOUN
ma-142	24	6	2let	2let	PROPN
ma-142	24	7	(	(	PUNCT
ma-142	24	8	ω	ω	PROPN
ma-142	24	9	,	,	PUNCT
ma-142	24	10	f	f	PROPN
ma-142	24	11	,	,	PUNCT
ma-142	24	12	{	{	PUNCT
ma-142	24	13	ft}t≥0	ft}t≥0	NOUN
ma-142	24	14	,	,	PUNCT
ma-142	24	15	p	p	NOUN
ma-142	24	16	)	)	PUNCT
ma-142	24	17	be	be	AUX
ma-142	24	18	a	a	DET
ma-142	24	19	stochastic	stochastic	ADJ
ma-142	24	20	basis	basis	NOUN
ma-142	24	21	on	on	ADP
ma-142	24	22	which	which	PRON
ma-142	24	23	is	be	AUX
ma-142	24	24	defined	define	VERB
ma-142	24	25	the	the	DET
ma-142	24	26	ornstein	ornstein	PROPN
ma-142	24	27	-	-	PUNCT
ma-142	24	28	uhlenbeck	uhlenbeck	PROPN
ma-142	24	29	process	process	NOUN
ma-142	24	30	xt	xt	PUNCT
ma-142	25	1	satisfying	satisfy	VERB
ma-142	25	2	the	the	DET
ma-142	25	3	itô	itô	PROPN
ma-142	25	4	stochastic	stochastic	ADJ
ma-142	25	5	differential	differential	NOUN
ma-142	25	6	equation	equation	NOUN
ma-142	25	7	dxt	dxt	PROPN
ma-142	25	8	=	=	PUNCT
ma-142	25	9	θxtdt	θxtdt	PROPN
ma-142	25	10	+	+	CCONJ
ma-142	25	11	dwh	dwh	PROPN
ma-142	25	12	t	t	PROPN
ma-142	25	13	,	,	PUNCT
ma-142	25	14	t	t	PROPN
ma-142	25	15	≥	≥	PROPN
ma-142	25	16	0	0	NUM
ma-142	25	17	,	,	PUNCT
ma-142	25	18	x0	x0	PROPN
ma-142	25	19	=	=	SYM
ma-142	25	20	0	0	PUNCT
ma-142	25	21	(	(	PUNCT
ma-142	25	22	1.1	1.1	NUM
ma-142	25	23	)	)	PUNCT
ma-142	25	24	where	where	SCONJ
ma-142	25	25	{	{	PUNCT
ma-142	25	26	wh	wh	PROPN
ma-142	25	27	t	t	PROPN
ma-142	25	28	}	}	PUNCT
ma-142	25	29	is	be	AUX
ma-142	25	30	a	a	DET
ma-142	25	31	fractional	fractional	ADJ
ma-142	25	32	brownian	brownian	ADJ
ma-142	25	33	motion	motion	NOUN
ma-142	25	34	with	with	ADP
ma-142	25	35	h	h	PROPN
ma-142	25	36	>	>	X
ma-142	25	37	1/2	1/2	NUM
ma-142	25	38	with	with	ADP
ma-142	25	39	the	the	DET
ma-142	25	40	filtration	filtration	NOUN
ma-142	25	41	{	{	PUNCT
ma-142	25	42	ft}t≥0	ft}t≥0	NOUN
ma-142	25	43	and	and	CCONJ
ma-142	25	44	θ	θ	X
ma-142	25	45	<	<	X
ma-142	25	46	0is	0is	ADJ
ma-142	25	47	the	the	DET
ma-142	25	48	unknown	unknown	ADJ
ma-142	25	49	parameter	parameter	NOUN
ma-142	25	50	to	to	PART
ma-142	25	51	be	be	AUX
ma-142	25	52	estimated	estimate	VERB
ma-142	25	53	on	on	ADP
ma-142	25	54	the	the	DET
ma-142	25	55	basis	basis	NOUN
ma-142	25	56	of	of	ADP
ma-142	25	57	continuous	continuous	ADJ
ma-142	25	58	observation	observation	NOUN
ma-142	25	59	of	of	ADP
ma-142	25	60	the	the	DET
ma-142	25	61	process	process	NOUN
ma-142	25	62	{	{	PUNCT
ma-142	25	63	xt	xt	ADP
ma-142	25	64	}	}	PUNCT
ma-142	25	65	on	on	ADP
ma-142	25	66	the	the	DET
ma-142	25	67	time	time	NOUN
ma-142	25	68	interval	interval	NOUN
ma-142	25	69	[	[	X
ma-142	25	70	0	0	NUM
ma-142	25	71	,	,	PUNCT
ma-142	25	72	t	t	X
ma-142	25	73	]	]	X
ma-142	25	74	.recall	.recall	NOUN
ma-142	25	75	that	that	SCONJ
ma-142	25	76	a	a	DET
ma-142	25	77	fractional	fractional	ADJ
ma-142	25	78	brownian	brownian	ADJ
ma-142	25	79	motion	motion	NOUN
ma-142	25	80	(	(	PUNCT
ma-142	25	81	fbm	fbm	NOUN
ma-142	25	82	)	)	PUNCT
ma-142	25	83	has	have	VERB
ma-142	25	84	the	the	DET
ma-142	25	85	covariance	covariance	NOUN
ma-142	25	86	c̃h(s	c̃h(s	PROPN
ma-142	25	87	,	,	PUNCT
ma-142	25	88	t	t	PROPN
ma-142	25	89	)	)	PUNCT
ma-142	25	90	=	=	SYM
ma-142	25	91	1	1	NUM
ma-142	25	92	2	2	NUM
ma-142	25	93	[	[	PUNCT
ma-142	25	94	s2h	s2h	NOUN
ma-142	25	95	+	+	NOUN
ma-142	25	96	t2h	t2h	PROPN
ma-142	25	97	−	−	PROPN
ma-142	25	98	|s	|s	PROPN
ma-142	25	99	−	−	PROPN
ma-142	25	100	t|2h	t|2h	NOUN
ma-142	25	101	]	]	PUNCT
ma-142	25	102	,	,	PUNCT
ma-142	25	103	s	s	X
ma-142	25	104	,	,	PUNCT
ma-142	25	105	t	t	X
ma-142	25	106	>	>	X
ma-142	25	107	0	0	NUM
ma-142	25	108	.	.	PUNCT
ma-142	26	1	(	(	PUNCT
ma-142	26	2	1.2	1.2	NUM
ma-142	26	3	)	)	PUNCT
ma-142	26	4	for	for	ADP
ma-142	26	5	h	h	NOUN
ma-142	26	6	>	>	SYM
ma-142	26	7	0.5	0.5	NUM
ma-142	26	8	the	the	DET
ma-142	26	9	process	process	NOUN
ma-142	26	10	has	have	VERB
ma-142	26	11	long	long	ADJ
ma-142	26	12	range	range	NOUN
ma-142	26	13	dependence	dependence	NOUN
ma-142	26	14	or	or	CCONJ
ma-142	26	15	long	long	ADJ
ma-142	26	16	memory	memory	NOUN
ma-142	26	17	and	and	CCONJ
ma-142	26	18	the	the	DET
ma-142	26	19	process	process	NOUN
ma-142	26	20	is	be	AUX
ma-142	26	21	self-similar.for	self-similar.for	ADP
ma-142	26	22	h	h	PROPN
ma-142	26	23	6=	6=	NUM
ma-142	26	24	0.5	0.5	NUM
ma-142	26	25	,	,	PUNCT
ma-142	26	26	the	the	DET
ma-142	26	27	process	process	NOUN
ma-142	26	28	is	be	AUX
ma-142	26	29	neither	neither	CCONJ
ma-142	26	30	a	a	DET
ma-142	26	31	markov	markov	NOUN
ma-142	26	32	process	process	NOUN
ma-142	26	33	nor	nor	CCONJ
ma-142	26	34	a	a	DET
ma-142	26	35	semimartingale	semimartingale	NOUN
ma-142	26	36	.	.	PUNCT
ma-142	27	1	for	for	ADP
ma-142	27	2	h	h	NOUN
ma-142	27	3	=	=	SYM
ma-142	27	4	0.5	0.5	NUM
ma-142	27	5	,	,	PUNCT
ma-142	27	6	theprocess	theprocess	NOUN
ma-142	27	7	reduces	reduce	VERB
ma-142	27	8	to	to	ADP
ma-142	27	9	standard	standard	ADJ
ma-142	27	10	brownian	brownian	NOUN
ma-142	27	11	motion.note	motion.note	VERB
ma-142	27	12	that	that	SCONJ
ma-142	27	13	the	the	DET
ma-142	27	14	solution	solution	NOUN
ma-142	27	15	of	of	ADP
ma-142	27	16	the	the	DET
ma-142	27	17	equation	equation	NOUN
ma-142	27	18	(	(	PUNCT
ma-142	27	19	1.1	1.1	NUM
ma-142	27	20	)	)	PUNCT
ma-142	27	21	is	be	AUX
ma-142	27	22	given	give	VERB
ma-142	27	23	by	by	ADP
ma-142	27	24	xt	xt	PROPN
ma-142	28	1	=	=	SYM
ma-142	28	2	∫	∫	PROPN
ma-142	28	3	t	t	PROPN
ma-142	28	4	0	0	NUM
ma-142	28	5	eθ(t−s)dwh	eθ(t−s)dwh	PROPN
ma-142	28	6	s	s	PART
ma-142	28	7	.	.	PUNCT
ma-142	29	1	(	(	PUNCT
ma-142	29	2	1.3	1.3	NUM
ma-142	29	3	)	)	PUNCT
ma-142	29	4	let	let	VERB
ma-142	29	5	the	the	DET
ma-142	29	6	realization	realization	NOUN
ma-142	29	7	{	{	PUNCT
ma-142	29	8	xt	xt	PROPN
ma-142	29	9	,	,	PUNCT
ma-142	29	10	0	0	NUM
ma-142	29	11	≤	≤	NUM
ma-142	29	12	t	t	PROPN
ma-142	29	13	≤	≤	PROPN
ma-142	29	14	t	t	PROPN
ma-142	29	15	}	}	PUNCT
ma-142	29	16	be	be	AUX
ma-142	29	17	denoted	denote	VERB
ma-142	29	18	by	by	ADP
ma-142	29	19	xt0	xt0	PROPN
ma-142	29	20	.	.	PUNCT
ma-142	30	1	let	let	VERB
ma-142	30	2	p	p	PRON
ma-142	30	3	tθ	tθ	AUX
ma-142	30	4	be	be	AUX
ma-142	30	5	the	the	DET
ma-142	30	6	measure	measure	NOUN
ma-142	30	7	generatedon	generatedon	VERB
ma-142	30	8	the	the	DET
ma-142	30	9	space	space	NOUN
ma-142	30	10	(	(	PUNCT
ma-142	30	11	ct	ct	INTJ
ma-142	30	12	,	,	PUNCT
ma-142	30	13	bt	bt	PROPN
ma-142	30	14	)	)	PUNCT
ma-142	30	15	of	of	ADP
ma-142	30	16	continuous	continuous	ADJ
ma-142	30	17	functions	function	NOUN
ma-142	30	18	on	on	ADP
ma-142	30	19	[	[	X
ma-142	30	20	0	0	NUM
ma-142	30	21	,	,	PUNCT
ma-142	30	22	t	t	X
ma-142	30	23	]	]	PUNCT
ma-142	30	24	with	with	SCONJ
ma-142	30	25	the	the	DET
ma-142	30	26	associated	associated	PROPN
ma-142	30	27	borel	borel	PROPN
ma-142	30	28	σ	σ	PROPN
ma-142	30	29	-	-	PUNCT
ma-142	30	30	algebra	algebra	NOUN
ma-142	30	31	btgenerated	btgenerate	VERB
ma-142	30	32	under	under	ADP
ma-142	30	33	the	the	DET
ma-142	30	34	supremum	supremum	ADJ
ma-142	30	35	norm	norm	NOUN
ma-142	30	36	by	by	ADP
ma-142	30	37	the	the	DET
ma-142	30	38	process	process	NOUN
ma-142	30	39	xt0	xt0	PROPN
ma-142	30	40	and	and	CCONJ
ma-142	30	41	p	p	PROPN
ma-142	30	42	t0	t0	PROPN
ma-142	30	43	be	be	AUX
ma-142	30	44	the	the	DET
ma-142	30	45	standard	standard	ADJ
ma-142	30	46	wiener	wiener	NOUN
ma-142	30	47	measure.applying	measure.applying	NOUN
ma-142	30	48	girsanov	girsanov	NOUN
ma-142	30	49	type	type	NOUN
ma-142	30	50	formula	formula	NOUN
ma-142	30	51	for	for	ADP
ma-142	30	52	fbm	fbm	NOUN
ma-142	30	53	,	,	PUNCT
ma-142	30	54	when	when	SCONJ
ma-142	30	55	θ	θ	PROPN
ma-142	30	56	is	be	AUX
ma-142	30	57	the	the	DET
ma-142	30	58	true	true	ADJ
ma-142	30	59	value	value	NOUN
ma-142	30	60	of	of	ADP
ma-142	30	61	the	the	DET
ma-142	30	62	parameter	parameter	NOUN
ma-142	30	63	,	,	PUNCT
ma-142	30	64	p	p	PRON
ma-142	30	65	tθ	tθ	NOUN
ma-142	30	66	is	be	AUX
ma-142	30	67	absolutelycontinuous	absolutelycontinuous	ADJ
ma-142	30	68	with	with	ADP
ma-142	30	69	respect	respect	NOUN
ma-142	30	70	to	to	ADP
ma-142	30	71	p	p	PROPN
ma-142	30	72	t0	t0	PROPN
ma-142	30	73	and	and	CCONJ
ma-142	30	74	the	the	DET
ma-142	30	75	radon	radon	PROPN
ma-142	30	76	-	-	PUNCT
ma-142	30	77	nikodym	nikodym	PROPN
ma-142	30	78	derivative	derivative	NOUN
ma-142	30	79	(	(	PUNCT
ma-142	30	80	likelihood	likelihood	NOUN
ma-142	30	81	)	)	PUNCT
ma-142	30	82	of	of	ADP
ma-142	30	83	p	p	DET
ma-142	30	84	tθ	tθ	NOUN
ma-142	30	85	with	with	ADP
ma-142	30	86	respectto	respectto	ADJ
ma-142	30	87	p	p	PROPN
ma-142	30	88	t0	t0	PROPN
ma-142	30	89	based	base	VERB
ma-142	30	90	on	on	ADP
ma-142	30	91	xt0	xt0	PROPN
ma-142	30	92	is	be	AUX
ma-142	30	93	given	give	VERB
ma-142	30	94	by	by	ADP
ma-142	30	95	lt	lt	DET
ma-142	30	96	(	(	PUNCT
ma-142	30	97	θ	θ	NOUN
ma-142	30	98	)	)	PUNCT
ma-142	30	99	:	:	PUNCT
ma-142	31	1	=	=	PUNCT
ma-142	31	2	dp	dp	NOUN
ma-142	31	3	tθ	tθ	NOUN
ma-142	31	4	dp	dp	NOUN
ma-142	31	5	t0	t0	PROPN
ma-142	31	6	(	(	PUNCT
ma-142	31	7	xt0	xt0	PROPN
ma-142	31	8	)	)	PUNCT
ma-142	32	1	=	=	NOUN
ma-142	32	2	exp	exp	NOUN
ma-142	32	3	{	{	PUNCT
ma-142	32	4	θ	θ	PROPN
ma-142	32	5	∫	∫	PROPN
ma-142	32	6	t	t	PROPN
ma-142	32	7	0	0	NUM
ma-142	32	8	qtdzt	qtdzt	PROPN
ma-142	32	9	−	−	PROPN
ma-142	32	10	θ2	θ2	PROPN
ma-142	32	11	2	2	NUM
ma-142	32	12	∫	∫	NOUN
ma-142	32	13	t	t	PROPN
ma-142	32	14	0	0	NUM
ma-142	32	15	q2	q2	PROPN
ma-142	32	16	t	t	PROPN
ma-142	32	17	dvt	dvt	PROPN
ma-142	32	18	}	}	PUNCT
ma-142	32	19	.	.	PUNCT
ma-142	33	1	(	(	PUNCT
ma-142	33	2	1.4	1.4	NUM
ma-142	33	3	)	)	PUNCT
ma-142	33	4	consider	consider	VERB
ma-142	33	5	the	the	DET
ma-142	33	6	score	score	NOUN
ma-142	33	7	function	function	NOUN
ma-142	33	8	,	,	PUNCT
ma-142	33	9	the	the	DET
ma-142	33	10	derivative	derivative	NOUN
ma-142	33	11	of	of	ADP
ma-142	33	12	the	the	DET
ma-142	33	13	log	log	NOUN
ma-142	33	14	-	-	PUNCT
ma-142	33	15	likelihood	likelihood	NOUN
ma-142	33	16	function	function	NOUN
ma-142	33	17	,	,	PUNCT
ma-142	33	18	which	which	PRON
ma-142	33	19	is	be	AUX
ma-142	33	20	given	give	VERB
ma-142	33	21	by	by	ADP
ma-142	33	22	yt	yt	PROPN
ma-142	33	23	(	(	PUNCT
ma-142	33	24	θ	θ	NOUN
ma-142	33	25	)	)	PUNCT
ma-142	33	26	:	:	PUNCT
ma-142	34	1	=	=	SYM
ma-142	34	2	∫	∫	PROPN
ma-142	34	3	t	t	PROPN
ma-142	34	4	0	0	NUM
ma-142	34	5	qtdzt	qtdzt	NOUN
ma-142	34	6	−	−	PROPN
ma-142	35	1	θ	θ	PROPN
ma-142	35	2	∫	∫	PROPN
ma-142	35	3	t	t	PROPN
ma-142	35	4	0	0	NUM
ma-142	35	5	q2	q2	PROPN
ma-142	35	6	t	t	PROPN
ma-142	35	7	dvt	dvt	PROPN
ma-142	35	8	.	.	PUNCT
ma-142	36	1	(	(	PUNCT
ma-142	36	2	1.5	1.5	NUM
ma-142	36	3	)	)	PUNCT
ma-142	36	4	a	a	DET
ma-142	36	5	solution	solution	NOUN
ma-142	36	6	of	of	ADP
ma-142	36	7	yt	yt	PROPN
ma-142	36	8	(	(	PUNCT
ma-142	36	9	θ	θ	NOUN
ma-142	36	10	)	)	PUNCT
ma-142	36	11	=	=	SYM
ma-142	36	12	0	0	PUNCT
ma-142	36	13	provides	provide	VERB
ma-142	36	14	the	the	DET
ma-142	36	15	maximum	maximum	ADJ
ma-142	36	16	likelihood	likelihood	NOUN
ma-142	36	17	estimate	estimate	NOUN
ma-142	36	18	(	(	PUNCT
ma-142	36	19	mle	mle	PROPN
ma-142	36	20	)	)	PUNCT
ma-142	36	21	θt	θt	NOUN
ma-142	36	22	:	:	PUNCT
ma-142	37	1	=	=	SYM
ma-142	37	2	∫	∫	PROPN
ma-142	37	3	t	t	PROPN
ma-142	37	4	0	0	NUM
ma-142	37	5	qtdzt∫	qtdzt∫	PROPN
ma-142	38	1	t	t	PROPN
ma-142	38	2	0	0	NUM
ma-142	38	3	q	q	PROPN
ma-142	38	4	2	2	NUM
ma-142	38	5	t	t	NOUN
ma-142	38	6	dvt	dvt	PROPN
ma-142	38	7	.	.	PUNCT
ma-142	39	1	(	(	PUNCT
ma-142	39	2	1.6	1.6	NUM
ma-142	39	3	)	)	PUNCT
ma-142	39	4	kleptsyna	kleptsyna	NOUN
ma-142	39	5	and	and	CCONJ
ma-142	39	6	le	le	X
ma-142	39	7	breton	breton	NOUN
ma-142	40	1	[	[	X
ma-142	40	2	13	13	NUM
ma-142	40	3	]	]	PUNCT
ma-142	40	4	showed	show	VERB
ma-142	40	5	that	that	SCONJ
ma-142	40	6	θt	θt	PROPN
ma-142	40	7	is	be	AUX
ma-142	40	8	strongly	strongly	ADV
ma-142	40	9	consistent	consistent	ADJ
ma-142	40	10	.	.	PUNCT
ma-142	41	1	using	use	VERB
ma-142	41	2	the	the	DET
ma-142	41	3	fourier	fourier	ADJ
ma-142	41	4	method	method	NOUN
ma-142	41	5	,	,	PUNCT
ma-142	41	6	bishwal	bishwal	NOUN
ma-142	41	7	[	[	X
ma-142	41	8	2	2	NUM
ma-142	41	9	]	]	PUNCT
ma-142	41	10	proved	prove	VERB
ma-142	41	11	a	a	DET
ma-142	41	12	berry	berry	NOUN
ma-142	41	13	-	-	PUNCT
ma-142	41	14	esseen	esseen	VERB
ma-142	41	15	type	type	NOUN
ma-142	41	16	theorem	theorem	NOUN
ma-142	41	17	for	for	ADP
ma-142	41	18	the	the	DET
ma-142	41	19	estimator	estimator	NOUN
ma-142	41	20	θt	θt	PROPN
ma-142	41	21	which	which	PRON
ma-142	41	22	gives	give	VERB
ma-142	41	23	the	the	DET
ma-142	41	24	rate	rate	NOUN
ma-142	41	25	of	of	ADP
ma-142	41	26	weakconvergence	weakconvergence	NOUN
ma-142	41	27	in	in	ADP
ma-142	41	28	asymptotic	asymptotic	ADJ
ma-142	41	29	normality.using	normality.use	VERB
ma-142	41	30	the	the	DET
ma-142	41	31	fractional	fractional	ADJ
ma-142	41	32	itô	itô	ADJ
ma-142	41	33	formula	formula	NOUN
ma-142	41	34	,	,	PUNCT
ma-142	41	35	the	the	DET
ma-142	41	36	score	score	NOUN
ma-142	41	37	function	function	NOUN
ma-142	41	38	yt	yt	PROPN
ma-142	41	39	(	(	PUNCT
ma-142	41	40	θ	θ	NOUN
ma-142	41	41	)	)	PUNCT
ma-142	41	42	can	can	AUX
ma-142	41	43	be	be	AUX
ma-142	41	44	written	write	VERB
ma-142	41	45	as	as	ADP
ma-142	41	46	yt	yt	PROPN
ma-142	41	47	(	(	PUNCT
ma-142	41	48	θ	θ	NOUN
ma-142	41	49	)	)	PUNCT
ma-142	41	50	=	=	SYM
ma-142	41	51	1	1	NUM
ma-142	41	52	2	2	NUM
ma-142	41	53	[	[	PUNCT
ma-142	41	54	λh	λh	ADP
ma-142	41	55	(	(	PUNCT
ma-142	41	56	2−	2−	NUM
ma-142	41	57	2h	2h	NUM
ma-142	41	58	)	)	PUNCT
ma-142	42	1	zt	zt	PROPN
ma-142	42	2	∫	∫	PROPN
ma-142	42	3	t	t	PROPN
ma-142	42	4	0	0	NUM
ma-142	43	1	t2h−1dzt	t2h−1dzt	PROPN
ma-142	43	2	−	−	PROPN
ma-142	43	3	t	t	NOUN
ma-142	43	4	]	]	PUNCT
ma-142	44	1	−	−	PROPN
ma-142	45	1	θ	θ	PROPN
ma-142	45	2	∫	∫	PROPN
ma-142	45	3	t	t	PROPN
ma-142	45	4	0	0	NUM
ma-142	45	5	q2	q2	PROPN
ma-142	45	6	t	t	PROPN
ma-142	45	7	dvt	dvt	PROPN
ma-142	45	8	.	.	PUNCT
ma-142	46	1	(	(	PUNCT
ma-142	46	2	1.7	1.7	NUM
ma-142	46	3	)	)	PUNCT
ma-142	46	4	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	46	5	eur	eur	PROPN
ma-142	46	6	.	.	PUNCT
ma-142	47	1	j.	j.	PROPN
ma-142	47	2	math	math	PROPN
ma-142	47	3	.	.	PUNCT
ma-142	48	1	anal	anal	PROPN
ma-142	48	2	.	.	PUNCT
ma-142	49	1	10.28924	10.28924	NUM
ma-142	49	2	/	/	SYM
ma-142	49	3	ada	ada	NOUN
ma-142	49	4	/	/	SYM
ma-142	49	5	ma.3.14	ma.3.14	NOUN
ma-142	50	1	3consider	3consider	NUM
ma-142	50	2	the	the	DET
ma-142	50	3	contrast	contrast	NOUN
ma-142	50	4	function	function	NOUN
ma-142	50	5	kt	kt	PROPN
ma-142	50	6	(	(	PUNCT
ma-142	50	7	θ	θ	PROPN
ma-142	50	8	)	)	PUNCT
ma-142	50	9	:	:	PUNCT
ma-142	51	1	=	=	PUNCT
ma-142	51	2	−	−	ADP
ma-142	51	3	thγ(h	thγ(h	NOUN
ma-142	51	4	)	)	PUNCT
ma-142	51	5	2	2	NUM
ma-142	51	6	−	−	NOUN
ma-142	52	1	θ	θ	X
ma-142	52	2	∫	∫	PROPN
ma-142	52	3	t	t	PROPN
ma-142	52	4	0	0	NUM
ma-142	52	5	q2	q2	PROPN
ma-142	52	6	t	t	PROPN
ma-142	52	7	dvt	dvt	PROPN
ma-142	52	8	(	(	PUNCT
ma-142	52	9	1.8	1.8	NUM
ma-142	52	10	)	)	PUNCT
ma-142	52	11	and	and	CCONJ
ma-142	52	12	the	the	DET
ma-142	52	13	minimum	minimum	ADJ
ma-142	52	14	contrast	contrast	NOUN
ma-142	52	15	estimate	estimate	NOUN
ma-142	52	16	(	(	PUNCT
ma-142	52	17	mce	mce	NOUN
ma-142	52	18	)	)	PUNCT
ma-142	52	19	θ̄t	θ̄t	PROPN
ma-142	52	20	:	:	PUNCT
ma-142	52	21	=	=	PUNCT
ma-142	52	22	−thγ(h	−thγ(h	PROPN
ma-142	52	23	)	)	PUNCT
ma-142	52	24	2	2	NUM
ma-142	52	25	∫	∫	NOUN
ma-142	52	26	t	t	NOUN
ma-142	52	27	0	0	NUM
ma-142	52	28	q	q	PROPN
ma-142	52	29	2	2	NUM
ma-142	52	30	t	t	NOUN
ma-142	52	31	dvt	dvt	PROPN
ma-142	52	32	.	.	PUNCT
ma-142	53	1	(	(	PUNCT
ma-142	53	2	1.9	1.9	NUM
ma-142	53	3	)	)	PUNCT
ma-142	53	4	the	the	DET
ma-142	53	5	least	least	ADJ
ma-142	53	6	squares	square	NOUN
ma-142	53	7	estimator	estimator	NOUN
ma-142	53	8	(	(	PUNCT
ma-142	53	9	lse	lse	PROPN
ma-142	53	10	)	)	PUNCT
ma-142	53	11	of	of	ADP
ma-142	53	12	θ	θ	PROPN
ma-142	53	13	minimizes∫	minimizes∫	ADP
ma-142	53	14	t	t	NOUN
ma-142	53	15	0	0	NUM
ma-142	54	1	|ẋt	|ẋt	NOUN
ma-142	54	2	−	−	NOUN
ma-142	54	3	θxt	θxt	NOUN
ma-142	54	4	|2dt	|2dt	PROPN
ma-142	54	5	(	(	PUNCT
ma-142	54	6	1.10	1.10	NUM
ma-142	54	7	)	)	PUNCT
ma-142	54	8	and	and	CCONJ
ma-142	54	9	is	be	AUX
ma-142	54	10	given	give	VERB
ma-142	54	11	by	by	ADP
ma-142	54	12	θ̂t	θ̂t	X
ma-142	54	13	:	:	PUNCT
ma-142	54	14	=	=	SYM
ma-142	54	15	∫	∫	PROPN
ma-142	54	16	t	t	PROPN
ma-142	54	17	0	0	NUM
ma-142	54	18	xtdxt∫	xtdxt∫	PROPN
ma-142	54	19	t	t	PROPN
ma-142	54	20	0	0	NUM
ma-142	54	21	x	x	SYM
ma-142	54	22	2	2	NUM
ma-142	54	23	t	t	NOUN
ma-142	54	24	dt	dt	NOUN
ma-142	54	25	.	.	PUNCT
ma-142	55	1	=	=	PUNCT
ma-142	55	2	θ	θ	X
ma-142	56	1	−	−	NOUN
ma-142	56	2	∫	∫	PROPN
ma-142	56	3	t	t	PROPN
ma-142	56	4	0	0	NUM
ma-142	56	5	xtdw	xtdw	PROPN
ma-142	56	6	h	h	PROPN
ma-142	57	1	t∫	t∫	PROPN
ma-142	57	2	t	t	PROPN
ma-142	57	3	0	0	NUM
ma-142	57	4	x	x	SYM
ma-142	57	5	2	2	NUM
ma-142	57	6	t	t	NOUN
ma-142	57	7	dt	dt	NOUN
ma-142	57	8	.	.	PUNCT
ma-142	58	1	(	(	PUNCT
ma-142	58	2	1.11	1.11	NUM
ma-142	58	3	)	)	PUNCT
ma-142	58	4	based	base	VERB
ma-142	58	5	on	on	ADP
ma-142	58	6	ergodicity	ergodicity	NOUN
ma-142	58	7	,	,	PUNCT
ma-142	58	8	quasi	quasi	X
ma-142	58	9	least	least	ADJ
ma-142	58	10	squares	square	NOUN
ma-142	58	11	estimate	estimate	NOUN
ma-142	58	12	(	(	PUNCT
ma-142	58	13	qlse	qlse	PROPN
ma-142	58	14	)	)	PUNCT
ma-142	58	15	θ̃t	θ̃t	NOUN
ma-142	59	1	:	:	PUNCT
ma-142	59	2	=	=	SYM
ma-142	59	3	(	(	PUNCT
ma-142	59	4	−thγ(2h)∫	−thγ(2h)∫	NOUN
ma-142	59	5	t	t	NOUN
ma-142	59	6	0	0	NUM
ma-142	59	7	x	x	SYM
ma-142	59	8	2	2	NUM
ma-142	59	9	t	t	NOUN
ma-142	59	10	dt	dt	NOUN
ma-142	59	11	)	)	PUNCT
ma-142	59	12	1	1	NUM
ma-142	59	13	2h	2h	NUM
ma-142	59	14	(	(	PUNCT
ma-142	59	15	1.12	1.12	NUM
ma-142	59	16	)	)	PUNCT
ma-142	59	17	the	the	DET
ma-142	59	18	lse	lse	PROPN
ma-142	59	19	and	and	CCONJ
ma-142	59	20	the	the	DET
ma-142	59	21	qlse	qlse	NOUN
ma-142	59	22	are	be	AUX
ma-142	59	23	strongly	strongly	ADV
ma-142	59	24	consistent	consistent	ADJ
ma-142	59	25	and	and	CCONJ
ma-142	59	26	asymptotically	asymptotically	ADV
ma-142	59	27	norma	norma	PROPN
ma-142	59	28	as	as	ADP
ma-142	59	29	t	t	PROPN
ma-142	59	30	→∞	→∞	PROPN
ma-142	59	31	√	√	PROPN
ma-142	59	32	t	t	PROPN
ma-142	59	33	(	(	PUNCT
ma-142	59	34	θ̂t	θ̂t	X
ma-142	59	35	−	−	PROPN
ma-142	59	36	θ)→d	θ)→d	NOUN
ma-142	59	37	n	n	X
ma-142	59	38	(	(	PUNCT
ma-142	59	39	0	0	NUM
ma-142	59	40	,	,	PUNCT
ma-142	59	41	θσ2h	θσ2h	PROPN
ma-142	59	42	)	)	PUNCT
ma-142	59	43	,	,	PUNCT
ma-142	59	44	√	√	PROPN
ma-142	59	45	t	t	PROPN
ma-142	59	46	(	(	PUNCT
ma-142	59	47	θ̃t	θ̃t	X
ma-142	59	48	−	−	PROPN
ma-142	59	49	θ)→d	θ)→d	NOUN
ma-142	59	50	n	n	X
ma-142	59	51	(	(	PUNCT
ma-142	59	52	0	0	NUM
ma-142	59	53	,	,	PUNCT
ma-142	59	54	θσ2h	θσ2h	PROPN
ma-142	59	55	4h2	4h2	NUM
ma-142	59	56	)	)	PUNCT
ma-142	59	57	(	(	PUNCT
ma-142	59	58	1.13	1.13	NUM
ma-142	59	59	)	)	PUNCT
ma-142	59	60	where	where	SCONJ
ma-142	59	61	σ2h	σ2h	PROPN
ma-142	59	62	:	:	PUNCT
ma-142	59	63	=	=	SYM
ma-142	59	64	(	(	PUNCT
ma-142	59	65	4h	4h	NOUN
ma-142	60	1	−	−	NOUN
ma-142	60	2	1	1	NUM
ma-142	60	3	)	)	PUNCT
ma-142	60	4	(	(	PUNCT
ma-142	60	5	1	1	NUM
ma-142	60	6	+	+	CCONJ
ma-142	60	7	γ(3−	γ(3−	ADP
ma-142	60	8	4h)γ(4h	4h)γ(4h	NUM
ma-142	60	9	−	−	NOUN
ma-142	60	10	1	1	X
ma-142	60	11	)	)	PUNCT
ma-142	60	12	γ(2−	γ(2−	NOUN
ma-142	60	13	2h)γ(2h	2h)γ(2h	NUM
ma-142	60	14	)	)	PUNCT
ma-142	60	15	)	)	PUNCT
ma-142	60	16	.	.	PUNCT
ma-142	61	1	(	(	PUNCT
ma-142	61	2	1.14	1.14	NUM
ma-142	61	3	)	)	PUNCT
ma-142	61	4	observe	observe	VERB
ma-142	61	5	that	that	SCONJ
ma-142	61	6	h	h	NOUN
ma-142	61	7	=	=	SYM
ma-142	61	8	1/2	1/2	NUM
ma-142	61	9	,	,	PUNCT
ma-142	61	10	σ2h	σ2h	PROPN
ma-142	61	11	=	=	SYM
ma-142	61	12	2	2	X
ma-142	61	13	.	.	PUNCT
ma-142	62	1	in	in	ADP
ma-142	62	2	this	this	DET
ma-142	62	3	case	case	NOUN
ma-142	62	4	the	the	DET
ma-142	62	5	lse	lse	NOUN
ma-142	62	6	and	and	CCONJ
ma-142	62	7	the	the	DET
ma-142	62	8	mle	mle	NOUN
ma-142	62	9	are	be	AUX
ma-142	62	10	identical	identical	ADJ
ma-142	62	11	.	.	PUNCT
ma-142	63	1	since	since	SCONJ
ma-142	63	2	θ̃t	θ̃t	PROPN
ma-142	63	3	is	be	AUX
ma-142	63	4	aconsistent	aconsistent	NOUN
ma-142	63	5	estimator	estimator	NOUN
ma-142	63	6	of	of	ADP
ma-142	63	7	θ	θ	PROPN
ma-142	63	8	,	,	PUNCT
ma-142	63	9	we	we	PRON
ma-142	63	10	can	can	AUX
ma-142	63	11	derive	derive	VERB
ma-142	63	12	the	the	DET
ma-142	63	13	self	self	NOUN
ma-142	63	14	normalized	normalize	VERB
ma-142	63	15	limit	limit	NOUN
ma-142	63	16	distributions	distribution	NOUN
ma-142	63	17	immediately	immediately	ADV
ma-142	63	18	:	:	PUNCT
ma-142	63	19	(	(	PUNCT
ma-142	63	20	t	t	X
ma-142	63	21	σ2h	σ2h	PROPN
ma-142	63	22	θ̃t	θ̃t	PROPN
ma-142	63	23	)	)	PUNCT
ma-142	64	1	1/2(θ̂t	1/2(θ̂t	NUM
ma-142	64	2	−	−	PROPN
ma-142	64	3	θ)→d	θ)→d	NOUN
ma-142	64	4	n	n	X
ma-142	64	5	(	(	PUNCT
ma-142	64	6	0	0	NUM
ma-142	64	7	,	,	PUNCT
ma-142	64	8	1	1	NUM
ma-142	64	9	)	)	PUNCT
ma-142	64	10	,	,	PUNCT
ma-142	64	11	2h	2h	NUM
ma-142	64	12	(	(	PUNCT
ma-142	64	13	t	t	PROPN
ma-142	64	14	σ2h	σ2h	PROPN
ma-142	64	15	θ̃t	θ̃t	PROPN
ma-142	64	16	)	)	PUNCT
ma-142	64	17	1/2(θ̃t	1/2(θ̃t	NUM
ma-142	64	18	−	−	NOUN
ma-142	64	19	θ)→d	θ)→d	NOUN
ma-142	64	20	n	n	X
ma-142	64	21	(	(	PUNCT
ma-142	64	22	0	0	NUM
ma-142	64	23	,	,	PUNCT
ma-142	64	24	1	1	NUM
ma-142	64	25	)	)	PUNCT
ma-142	64	26	.	.	PUNCT
ma-142	65	1	(	(	PUNCT
ma-142	65	2	1.15	1.15	NUM
ma-142	65	3	)	)	PUNCT
ma-142	65	4	define	define	VERB
ma-142	65	5	mt	mt	PROPN
ma-142	65	6	:	:	PUNCT
ma-142	66	1	=	=	SYM
ma-142	66	2	∫	∫	PROPN
ma-142	66	3	t	t	PROPN
ma-142	66	4	0	0	NUM
ma-142	66	5	xt	xt	PROPN
ma-142	66	6	dw	dw	PROPN
ma-142	66	7	h	h	PROPN
ma-142	66	8	t	t	PROPN
ma-142	67	1	and	and	CCONJ
ma-142	67	2	it	it	PRON
ma-142	67	3	:	:	PUNCT
ma-142	68	1	=	=	SYM
ma-142	68	2	∫	∫	PROPN
ma-142	68	3	t	t	NOUN
ma-142	68	4	0	0	NUM
ma-142	69	1	x2	x2	PROPN
ma-142	69	2	t	t	X
ma-142	69	3	dt	dt	NOUN
ma-142	69	4	,	,	PUNCT
ma-142	69	5	nt	not	PART
ma-142	69	6	:	:	PUNCT
ma-142	69	7	=	=	SYM
ma-142	69	8	θ2hit	θ2hit	NUM
ma-142	69	9	−	−	PROPN
ma-142	69	10	thγ(2h	thγ(2h	NOUN
ma-142	69	11	)	)	PUNCT
ma-142	69	12	.	.	PUNCT
ma-142	70	1	(	(	PUNCT
ma-142	70	2	1.16	1.16	NUM
ma-142	70	3	)	)	PUNCT
ma-142	70	4	vh	vh	PROPN
ma-142	70	5	,	,	PUNCT
ma-142	70	6	θ	θ	NOUN
ma-142	70	7	:	:	PUNCT
ma-142	70	8	=	=	SYM
ma-142	70	9	θ−2hhγ(2h	θ−2hhγ(2h	PROPN
ma-142	70	10	)	)	PUNCT
ma-142	70	11	.	.	PUNCT
ma-142	71	1	(	(	PUNCT
ma-142	71	2	1.17)observe	1.17)observe	NUM
ma-142	71	3	that	that	PRON
ma-142	71	4	(	(	PUNCT
ma-142	71	5	t	t	PROPN
ma-142	71	6	−σ2hθ	−σ2hθ	NUM
ma-142	71	7	)	)	PUNCT
ma-142	71	8	1/2	1/2	NUM
ma-142	71	9	(	(	PUNCT
ma-142	71	10	θ̂t	θ̂t	X
ma-142	71	11	−	−	PROPN
ma-142	71	12	θ	θ	PROPN
ma-142	71	13	)	)	PUNCT
ma-142	71	14	=	=	NOUN
ma-142	71	15	(	(	PUNCT
ma-142	71	16	−σ2hθ	−σ2hθ	NUM
ma-142	71	17	t	t	NOUN
ma-142	71	18	)	)	PUNCT
ma-142	71	19	1/2	1/2	NUM
ma-142	71	20	mt	mt	PROPN
ma-142	71	21	(	(	PUNCT
ma-142	71	22	σ2hθ	σ2hθ	X
ma-142	71	23	t	t	PROPN
ma-142	71	24	)	)	PUNCT
ma-142	71	25	it	it	PRON
ma-142	71	26	(	(	PUNCT
ma-142	71	27	1.18	1.18	NUM
ma-142	71	28	)	)	PUNCT
ma-142	71	29	applying	apply	VERB
ma-142	71	30	taylor	taylor	PROPN
ma-142	71	31	’s	’s	PART
ma-142	71	32	formula	formula	NOUN
ma-142	71	33	to	to	ADP
ma-142	71	34	the	the	DET
ma-142	71	35	function	function	NOUN
ma-142	71	36	x−	x−	PROPN
ma-142	71	37	1	1	NUM
ma-142	71	38	2h	2h	NUM
ma-142	71	39	at	at	ADP
ma-142	71	40	the	the	DET
ma-142	71	41	point	point	NOUN
ma-142	71	42	vh	vh	PROPN
ma-142	71	43	,	,	PUNCT
ma-142	71	44	θ	θ	PROPN
ma-142	71	45	,	,	PUNCT
ma-142	71	46	we	we	PRON
ma-142	71	47	have	have	VERB
ma-142	71	48	(	(	PUNCT
ma-142	71	49	it	it	PRON
ma-142	71	50	t	t	PROPN
ma-142	71	51	)	)	PUNCT
ma-142	71	52	−	−	PROPN
ma-142	72	1	1	1	NUM
ma-142	72	2	2h	2h	NUM
ma-142	72	3	=	=	SYM
ma-142	72	4	v	v	ADP
ma-142	72	5	−	−	PROPN
ma-142	72	6	1	1	NUM
ma-142	72	7	2h	2h	NUM
ma-142	72	8	h	h	NOUN
ma-142	72	9	,	,	PUNCT
ma-142	72	10	θ	θ	PROPN
ma-142	72	11	−	−	PROPN
ma-142	72	12	1	1	NUM
ma-142	72	13	2h	2h	NUM
ma-142	72	14	v	v	ADP
ma-142	72	15	−	−	PROPN
ma-142	72	16	1	1	NUM
ma-142	72	17	+	+	NUM
ma-142	72	18	2h	2h	NUM
ma-142	72	19	2h	2h	NUM
ma-142	72	20	h	h	NOUN
ma-142	72	21	,	,	PUNCT
ma-142	72	22	θ	θ	PROPN
ma-142	72	23	(	(	PUNCT
ma-142	72	24	it	it	PRON
ma-142	72	25	t	t	VERB
ma-142	72	26	−	−	PROPN
ma-142	72	27	vh	vh	PROPN
ma-142	72	28	,	,	PUNCT
ma-142	72	29	θ	θ	PROPN
ma-142	72	30	)	)	PUNCT
ma-142	73	1	+	+	CCONJ
ma-142	73	2	1	1	NUM
ma-142	73	3	+	+	NUM
ma-142	73	4	2h	2h	NUM
ma-142	73	5	8h2	8h2	NUM
ma-142	73	6	$	$	SYM
ma-142	73	7	−	−	PROPN
ma-142	73	8	1	1	NUM
ma-142	73	9	+	+	SYM
ma-142	73	10	4h	4h	NUM
ma-142	73	11	2h	2h	NUM
ma-142	73	12	t	t	NOUN
ma-142	73	13	(	(	PUNCT
ma-142	73	14	it	it	PRON
ma-142	73	15	t	t	VERB
ma-142	73	16	−	−	PROPN
ma-142	73	17	vh	vh	PROPN
ma-142	73	18	,	,	PUNCT
ma-142	73	19	θ	θ	PROPN
ma-142	73	20	)	)	PUNCT
ma-142	73	21	2	2	NUM
ma-142	73	22	(	(	PUNCT
ma-142	73	23	1.19	1.19	NUM
ma-142	73	24	)	)	PUNCT
ma-142	73	25	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	73	26	eur	eur	PROPN
ma-142	73	27	.	.	PUNCT
ma-142	74	1	j.	j.	PROPN
ma-142	74	2	math	math	PROPN
ma-142	74	3	.	.	PUNCT
ma-142	75	1	anal	anal	PROPN
ma-142	75	2	.	.	PUNCT
ma-142	76	1	10.28924	10.28924	NUM
ma-142	76	2	/	/	SYM
ma-142	76	3	ada	ada	NOUN
ma-142	76	4	/	/	SYM
ma-142	76	5	ma.3.14	ma.3.14	NOUN
ma-142	76	6	4	4	NUM
ma-142	76	7	where	where	SCONJ
ma-142	76	8	$	$	SYM
ma-142	76	9	t	t	NOUN
ma-142	76	10	is	be	AUX
ma-142	76	11	a	a	DET
ma-142	76	12	random	random	ADJ
ma-142	76	13	point	point	NOUN
ma-142	76	14	between	between	ADP
ma-142	76	15	vh	vh	PROPN
ma-142	76	16	,	,	PUNCT
ma-142	76	17	θ	θ	PROPN
ma-142	76	18	and	and	CCONJ
ma-142	76	19	it	it	PRON
ma-142	76	20	t	t	X
ma-142	76	21	.	.	PUNCT
ma-142	77	1	further	far	ADV
ma-142	77	2	θ̃t	θ̃t	PROPN
ma-142	77	3	−	−	PROPN
ma-142	77	4	θ	θ	PROPN
ma-142	77	5	=	=	SYM
ma-142	78	1	−	−	PROPN
ma-142	78	2	θ1	θ1	NOUN
ma-142	78	3	+	+	SYM
ma-142	78	4	2h	2h	NUM
ma-142	78	5	2h2γ(2h	2h2γ(2h	NUM
ma-142	78	6	)	)	PUNCT
ma-142	78	7	(	(	PUNCT
ma-142	78	8	it	it	PRON
ma-142	78	9	t	t	VERB
ma-142	78	10	−	−	PROPN
ma-142	78	11	vh	vh	PROPN
ma-142	78	12	,	,	PUNCT
ma-142	78	13	θ	θ	PROPN
ma-142	78	14	)	)	PUNCT
ma-142	79	1	+	+	CCONJ
ma-142	79	2	(	(	PUNCT
ma-142	79	3	1	1	NUM
ma-142	79	4	+	+	NUM
ma-142	79	5	2h)(hγ(2h	2h)(hγ(2h	NUM
ma-142	79	6	)	)	PUNCT
ma-142	79	7	)	)	PUNCT
ma-142	79	8	1	1	NUM
ma-142	79	9	2h	2h	NUM
ma-142	79	10	8h2	8h2	NUM
ma-142	79	11	$	$	SYM
ma-142	79	12	−	−	PROPN
ma-142	79	13	1	1	NUM
ma-142	79	14	+	+	SYM
ma-142	79	15	4h	4h	NUM
ma-142	79	16	2h	2h	NUM
ma-142	79	17	t	t	NOUN
ma-142	79	18	(	(	PUNCT
ma-142	79	19	it	it	PRON
ma-142	79	20	t	t	VERB
ma-142	79	21	−	−	PROPN
ma-142	79	22	vh	vh	PROPN
ma-142	79	23	,	,	PUNCT
ma-142	79	24	θ	θ	PROPN
ma-142	79	25	)	)	PUNCT
ma-142	79	26	2	2	NUM
ma-142	79	27	.	.	PUNCT
ma-142	80	1	(	(	PUNCT
ma-142	80	2	1.20	1.20	NUM
ma-142	80	3	)	)	PUNCT
ma-142	80	4	thus	thus	ADV
ma-142	80	5	2h	2h	NUM
ma-142	80	6	(	(	PUNCT
ma-142	80	7	t	t	PROPN
ma-142	80	8	−σ2hθ	−σ2hθ	NUM
ma-142	80	9	)	)	PUNCT
ma-142	80	10	1/2	1/2	NUM
ma-142	80	11	(	(	PUNCT
ma-142	80	12	θ̃t	θ̃t	X
ma-142	80	13	−	−	NUM
ma-142	80	14	θ	θ	NOUN
ma-142	80	15	)	)	PUNCT
ma-142	80	16	=	=	NOUN
ma-142	80	17	(	(	PUNCT
ma-142	80	18	−σ2hθ	−σ2hθ	NUM
ma-142	80	19	4th2	4th2	NUM
ma-142	80	20	)	)	PUNCT
ma-142	80	21	1/2	1/2	NUM
ma-142	81	1	nt	nt	PROPN
ma-142	81	2	(	(	PUNCT
ma-142	81	3	σ2hθ	σ2hθ	NOUN
ma-142	81	4	4th2	4th2	NUM
ma-142	81	5	)	)	PUNCT
ma-142	82	1	it	it	PRON
ma-142	82	2	.	.	PUNCT
ma-142	83	1	(	(	PUNCT
ma-142	83	2	1.21	1.21	NUM
ma-142	83	3	)	)	PUNCT
ma-142	83	4	we	we	PRON
ma-142	83	5	study	study	VERB
ma-142	83	6	the	the	DET
ma-142	83	7	large	large	ADJ
ma-142	83	8	deviations	deviation	NOUN
ma-142	83	9	,	,	PUNCT
ma-142	83	10	moderate	moderate	ADJ
ma-142	83	11	deviations	deviation	NOUN
ma-142	83	12	and	and	CCONJ
ma-142	83	13	berry	berry	NOUN
ma-142	83	14	-	-	PUNCT
ma-142	83	15	esseen	esseen	VERB
ma-142	83	16	bounds	bound	NOUN
ma-142	83	17	of	of	ADP
ma-142	83	18	the	the	DET
ma-142	83	19	lse	lse	PROPN
ma-142	83	20	andthe	andthe	PROPN
ma-142	83	21	qlse	qlse	NOUN
ma-142	83	22	in	in	ADP
ma-142	83	23	this	this	DET
ma-142	83	24	paper	paper	NOUN
ma-142	83	25	.	.	PUNCT
ma-142	84	1	we	we	PRON
ma-142	84	2	will	will	AUX
ma-142	84	3	use	use	VERB
ma-142	84	4	the	the	DET
ma-142	84	5	following	follow	VERB
ma-142	84	6	optimal	optimal	ADJ
ma-142	84	7	fourth	fourth	ADJ
ma-142	84	8	moment	moment	NOUN
ma-142	84	9	theorem	theorem	VERB
ma-142	84	10	from	from	ADP
ma-142	84	11	nourdinand	nourdinand	NOUN
ma-142	84	12	peccati	peccati	NOUN
ma-142	84	13	[	[	X
ma-142	84	14	14	14	NUM
ma-142	84	15	]	]	PUNCT
ma-142	84	16	in	in	ADP
ma-142	84	17	the	the	DET
ma-142	84	18	sequel	sequel	NOUN
ma-142	84	19	.	.	PUNCT
ma-142	85	1	see	see	AUX
ma-142	85	2	also	also	ADV
ma-142	85	3	douissi	douissi	VERB
ma-142	85	4	et	et	PROPN
ma-142	85	5	al	al	PROPN
ma-142	85	6	.	.	PUNCT
ma-142	86	1	[	[	X
ma-142	86	2	15	15	NUM
ma-142	86	3	]	]	PUNCT
ma-142	86	4	.	.	PUNCT
ma-142	87	1	theorem	theorem	ADJ
ma-142	87	2	1.1	1.1	NUM
ma-142	87	3	(	(	PUNCT
ma-142	87	4	skewness	skewness	NOUN
ma-142	87	5	kurtosis	kurtosis	VERB
ma-142	87	6	inequality	inequality	NOUN
ma-142	87	7	)	)	PUNCT
ma-142	88	1	let	let	VERB
ma-142	88	2	(	(	PUNCT
ma-142	88	3	xn)n≥1	xn)n≥1	NOUN
ma-142	88	4	be	be	AUX
ma-142	88	5	a	a	DET
ma-142	88	6	sequence	sequence	NOUN
ma-142	88	7	of	of	ADP
ma-142	88	8	random	random	ADJ
ma-142	88	9	variables	variable	NOUN
ma-142	88	10	in	in	ADP
ma-142	88	11	fixed	fix	VERB
ma-142	88	12	wiener	wiener	NOUN
ma-142	88	13	chaos	chaos	NOUN
ma-142	88	14	of	of	ADP
ma-142	88	15	order	order	NOUN
ma-142	88	16	q	q	X
ma-142	88	17	≥	≥	NUM
ma-142	88	18	2	2	NUM
ma-142	88	19	such	such	ADJ
ma-142	88	20	that	that	PRON
ma-142	88	21	v	v	ADP
ma-142	88	22	ar(xn	ar(xn	NOUN
ma-142	88	23	)	)	PUNCT
ma-142	89	1	=	=	SYM
ma-142	89	2	1	1	X
ma-142	89	3	.	.	X
ma-142	89	4	assume	assume	VERB
ma-142	89	5	xn	xn	PROPN
ma-142	89	6	converges	converge	NOUN
ma-142	89	7	to	to	ADP
ma-142	89	8	normal	normal	ADJ
ma-142	89	9	distribution	distribution	NOUN
ma-142	89	10	which	which	PRON
ma-142	89	11	is	be	AUX
ma-142	89	12	equivalent	equivalent	ADJ
ma-142	89	13	to	to	ADP
ma-142	89	14	limn	limn	PROPN
ma-142	89	15	e(xn)4	e(xn)4	PROPN
ma-142	90	1	=	=	SYM
ma-142	90	2	3	3	NUM
ma-142	90	3	,	,	PUNCT
ma-142	90	4	which	which	PRON
ma-142	90	5	is	be	AUX
ma-142	90	6	also	also	ADV
ma-142	90	7	known	know	VERB
ma-142	90	8	as	as	SCONJ
ma-142	90	9	the	the	DET
ma-142	90	10	fourth	fourth	ADJ
ma-142	90	11	moment	moment	NOUN
ma-142	90	12	theorem	theorem	VERB
ma-142	90	13	.	.	PUNCT
ma-142	91	1	then	then	ADV
ma-142	91	2	we	we	PRON
ma-142	91	3	have	have	VERB
ma-142	91	4	the	the	DET
ma-142	91	5	following	follow	VERB
ma-142	91	6	optimal	optimal	ADJ
ma-142	91	7	rate	rate	NOUN
ma-142	91	8	for	for	ADP
ma-142	91	9	dtv	dtv	PROPN
ma-142	91	10	(	(	PUNCT
ma-142	91	11	xn	xn	PROPN
ma-142	91	12	,	,	PUNCT
ma-142	91	13	n	n	CCONJ
ma-142	91	14	)	)	PUNCT
ma-142	91	15	known	know	VERB
ma-142	91	16	as	as	ADP
ma-142	91	17	the	the	DET
ma-142	91	18	optimal	optimal	ADJ
ma-142	91	19	fourth	fourth	ADJ
ma-142	91	20	moment	moment	NOUN
ma-142	91	21	theorem	theorem	VERB
ma-142	91	22	:	:	PUNCT
ma-142	91	23	there	there	PRON
ma-142	91	24	exist	exist	VERB
ma-142	91	25	two	two	NUM
ma-142	91	26	constants	constant	NOUN
ma-142	91	27	c	c	NOUN
ma-142	91	28	,	,	PUNCT
ma-142	91	29	c	c	X
ma-142	91	30	>	>	X
ma-142	91	31	0	0	PUNCT
ma-142	92	1	depending	depend	VERB
ma-142	92	2	only	only	ADV
ma-142	92	3	on	on	ADP
ma-142	92	4	the	the	DET
ma-142	92	5	sequence	sequence	NOUN
ma-142	92	6	(	(	PUNCT
ma-142	92	7	xn)n≥1	xn)n≥1	NOUN
ma-142	92	8	but	but	CCONJ
ma-142	92	9	not	not	PART
ma-142	92	10	on	on	ADP
ma-142	92	11	n	n	CCONJ
ma-142	92	12	,	,	PUNCT
ma-142	92	13	such	such	ADJ
ma-142	92	14	that	that	SCONJ
ma-142	92	15	c	c	PROPN
ma-142	92	16	max{e(x4n)−	max{e(x4n)−	X
ma-142	92	17	3	3	NUM
ma-142	92	18	,	,	PUNCT
ma-142	92	19	|e(x3n)|	|e(x3n)|	NOUN
ma-142	92	20	}	}	PUNCT
ma-142	92	21	≤	≤	ADJ
ma-142	92	22	dtv	dtv	NOUN
ma-142	92	23	(	(	PUNCT
ma-142	92	24	xn	xn	PROPN
ma-142	92	25	,	,	PUNCT
ma-142	92	26	n	n	NOUN
ma-142	92	27	)	)	PUNCT
ma-142	92	28	≤	≤	NOUN
ma-142	92	29	cmax{e(x4n)−	cmax{e(x4n)−	X
ma-142	92	30	3	3	NUM
ma-142	92	31	,	,	PUNCT
ma-142	92	32	|e(x3n)|	|e(x3n)|	PROPN
ma-142	92	33	}	}	PUNCT
ma-142	92	34	.	.	PUNCT
ma-142	93	1	(	(	PUNCT
ma-142	93	2	1.22	1.22	NUM
ma-142	93	3	)	)	PUNCT
ma-142	93	4	let	let	VERB
ma-142	93	5	φ	φ	NUM
ma-142	93	6	(	(	PUNCT
ma-142	93	7	·	·	PUNCT
ma-142	93	8	)	)	PUNCT
ma-142	93	9	denote	denote	VERB
ma-142	93	10	the	the	DET
ma-142	93	11	standard	standard	ADJ
ma-142	93	12	normal	normal	ADJ
ma-142	93	13	distribution	distribution	NOUN
ma-142	93	14	function	function	NOUN
ma-142	93	15	.	.	PUNCT
ma-142	94	1	throughout	throughout	ADP
ma-142	94	2	the	the	DET
ma-142	94	3	paper	paper	NOUN
ma-142	94	4	,	,	PUNCT
ma-142	94	5	c	c	PROPN
ma-142	94	6	denotes	denote	NOUN
ma-142	94	7	ageneric	ageneric	ADJ
ma-142	94	8	constant	constant	ADJ
ma-142	94	9	(	(	PUNCT
ma-142	94	10	which	which	PRON
ma-142	94	11	does	do	AUX
ma-142	94	12	not	not	PART
ma-142	94	13	depend	depend	VERB
ma-142	94	14	on	on	ADP
ma-142	94	15	t	t	PROPN
ma-142	94	16	and	and	CCONJ
ma-142	94	17	x	x	PUNCT
ma-142	94	18	)	)	PUNCT
ma-142	94	19	.	.	PUNCT
ma-142	95	1	we	we	PRON
ma-142	95	2	have	have	AUX
ma-142	95	3	not	not	PART
ma-142	95	4	tried	try	VERB
ma-142	95	5	to	to	PART
ma-142	95	6	estimate	estimate	VERB
ma-142	95	7	the	the	DET
ma-142	95	8	constantin	constantin	NOUN
ma-142	95	9	the	the	DET
ma-142	95	10	bound	bind	VERB
ma-142	95	11	on	on	ADP
ma-142	95	12	normal	normal	ADJ
ma-142	95	13	approximation.hu	approximation.hu	X
ma-142	95	14	et	et	NOUN
ma-142	95	15	al	al	PROPN
ma-142	95	16	.	.	PUNCT
ma-142	96	1	[	[	X
ma-142	96	2	11	11	NUM
ma-142	96	3	]	]	PUNCT
ma-142	96	4	obtained	obtain	VERB
ma-142	96	5	limiting	limit	VERB
ma-142	96	6	normal	normal	ADJ
ma-142	96	7	distribution	distribution	NOUN
ma-142	96	8	of	of	ADP
ma-142	96	9	the	the	DET
ma-142	96	10	lse	lse	NOUN
ma-142	96	11	and	and	CCONJ
ma-142	96	12	the	the	DET
ma-142	96	13	qlse	qlse	NOUN
ma-142	96	14	for	for	ADP
ma-142	96	15	the	the	DET
ma-142	96	16	memoryrange	memoryrange	NOUN
ma-142	96	17	12	12	NUM
ma-142	96	18	<	<	X
ma-142	96	19	h	h	NOUN
ma-142	96	20	≤	≤	NOUN
ma-142	96	21	3	3	NUM
ma-142	96	22	4	4	NUM
ma-142	96	23	with	with	ADP
ma-142	96	24	the	the	DET
ma-142	96	25	rate	rate	NOUN
ma-142	96	26	√t	√t	NOUN
ma-142	96	27	for	for	ADP
ma-142	96	28	12	12	NUM
ma-142	96	29	<	<	X
ma-142	96	30	h	h	NOUN
ma-142	96	31	<	<	X
ma-142	96	32	3	3	NUM
ma-142	96	33	4	4	NUM
ma-142	96	34	and	and	CCONJ
ma-142	96	35	√t	√t	NOUN
ma-142	96	36	(	(	PUNCT
ma-142	96	37	logt	logt	NOUN
ma-142	96	38	)	)	PUNCT
ma-142	96	39	−1/2	−1/2	ADJ
ma-142	96	40	for	for	ADP
ma-142	96	41	the	the	DET
ma-142	96	42	case	case	NOUN
ma-142	96	43	h	h	NOUN
ma-142	96	44	=	=	NOUN
ma-142	96	45	3	3	NUM
ma-142	96	46	4	4	NUM
ma-142	96	47	,	,	PUNCT
ma-142	96	48	andlimiting	andlimite	VERB
ma-142	96	49	rosenblatt	rosenblatt	NOUN
ma-142	96	50	distribution	distribution	NOUN
ma-142	96	51	for	for	ADP
ma-142	96	52	the	the	DET
ma-142	96	53	memory	memory	NOUN
ma-142	96	54	range	range	NOUN
ma-142	96	55	34	34	NUM
ma-142	96	56	<	<	X
ma-142	96	57	h	h	NOUN
ma-142	96	58	<	<	X
ma-142	96	59	1.we	1.we	NUM
ma-142	96	60	only	only	ADV
ma-142	96	61	consider	consider	VERB
ma-142	96	62	the	the	DET
ma-142	96	63	memory	memory	NOUN
ma-142	96	64	range	range	NOUN
ma-142	96	65	12	12	NUM
ma-142	96	66	<	<	X
ma-142	96	67	h	h	NOUN
ma-142	96	68	<	<	X
ma-142	96	69	3	3	NUM
ma-142	96	70	4	4	NUM
ma-142	96	71	.	.	PUNCT
ma-142	97	1	jiang	jiang	PROPN
ma-142	97	2	et	et	PROPN
ma-142	97	3	al	al	PROPN
ma-142	97	4	.	.	PUNCT
ma-142	98	1	[	[	X
ma-142	98	2	12	12	NUM
ma-142	98	3	]	]	PUNCT
ma-142	98	4	used	use	VERB
ma-142	98	5	self	self	NOUN
ma-142	98	6	-	-	PUNCT
ma-142	98	7	normalization	normalization	NOUN
ma-142	98	8	alongwith	alongwith	NOUN
ma-142	98	9	the	the	DET
ma-142	98	10	splitting	splitting	NOUN
ma-142	98	11	method	method	NOUN
ma-142	98	12	for	for	ADP
ma-142	98	13	the	the	DET
ma-142	98	14	lse	lse	PROPN
ma-142	98	15	and	and	CCONJ
ma-142	98	16	the	the	DET
ma-142	98	17	qlse	qlse	NOUN
ma-142	98	18	in	in	ADP
ma-142	98	19	fractional	fractional	PROPN
ma-142	98	20	ornstein	ornstein	PROPN
ma-142	98	21	-	-	PUNCT
ma-142	98	22	uhlenbeck	uhlenbeck	PROPN
ma-142	98	23	process	process	NOUN
ma-142	98	24	andobtained	andobtaine	VERB
ma-142	98	25	the	the	DET
ma-142	98	26	rate	rate	NOUN
ma-142	98	27	t−1/2	t−1/2	PROPN
ma-142	98	28	logt	logt	NOUN
ma-142	98	29	for	for	ADP
ma-142	98	30	the	the	DET
ma-142	98	31	range	range	NOUN
ma-142	98	32	12	12	NUM
ma-142	98	33	≤	≤	NUM
ma-142	98	34	h	h	NOUN
ma-142	98	35	≤	≤	NUM
ma-142	98	36	5	5	NUM
ma-142	98	37	8	8	NUM
ma-142	98	38	for	for	ADP
ma-142	98	39	the	the	DET
ma-142	98	40	lse	lse	PROPN
ma-142	98	41	and	and	CCONJ
ma-142	98	42	t−1/4	t−1/4	NOUN
ma-142	98	43	logt	logt	NOUN
ma-142	98	44	for	for	ADP
ma-142	98	45	the	the	DET
ma-142	98	46	range	range	NOUN
ma-142	98	47	1	1	NUM
ma-142	98	48	2	2	NUM
ma-142	98	49	≤	≤	NUM
ma-142	98	50	h	h	NOUN
ma-142	98	51	≤	≤	NUM
ma-142	98	52	11	11	NUM
ma-142	98	53	16	16	NUM
ma-142	98	54	for	for	ADP
ma-142	98	55	the	the	DET
ma-142	98	56	qlse	qlse	NOUN
ma-142	98	57	.	.	PUNCT
ma-142	99	1	they	they	PRON
ma-142	99	2	obtained	obtain	VERB
ma-142	99	3	the	the	DET
ma-142	99	4	rate	rate	NOUN
ma-142	99	5	t	t	PROPN
ma-142	99	6	4h−3	4h−3	NUM
ma-142	99	7	for	for	ADP
ma-142	99	8	the	the	DET
ma-142	99	9	range	range	NOUN
ma-142	99	10	58	58	NUM
ma-142	99	11	<	<	X
ma-142	99	12	h	h	NOUN
ma-142	99	13	<	<	X
ma-142	99	14	3	3	NUM
ma-142	99	15	4	4	NUM
ma-142	99	16	for	for	ADP
ma-142	99	17	the	the	DET
ma-142	99	18	lseand	lseand	NOUN
ma-142	99	19	the	the	DET
ma-142	99	20	same	same	ADJ
ma-142	99	21	rate	rate	NOUN
ma-142	99	22	t	t	PROPN
ma-142	99	23	4h−3	4h−3	NUM
ma-142	99	24	for	for	ADP
ma-142	99	25	the	the	DET
ma-142	99	26	range	range	NOUN
ma-142	99	27	1116	1116	NUM
ma-142	99	28	<	<	X
ma-142	99	29	h	h	X
ma-142	99	30	<	<	X
ma-142	99	31	3	3	NUM
ma-142	99	32	4	4	NUM
ma-142	99	33	for	for	ADP
ma-142	99	34	the	the	DET
ma-142	99	35	qlse.in	qlse.in	PRON
ma-142	99	36	this	this	DET
ma-142	99	37	paper	paper	NOUN
ma-142	99	38	we	we	PRON
ma-142	99	39	improve	improve	VERB
ma-142	99	40	the	the	DET
ma-142	99	41	first	first	ADJ
ma-142	99	42	rate	rate	NOUN
ma-142	99	43	to	to	ADP
ma-142	99	44	t−1/2	t−1/2	PROPN
ma-142	99	45	for	for	ADP
ma-142	99	46	the	the	DET
ma-142	99	47	mle	mle	PROPN
ma-142	99	48	for	for	ADP
ma-142	99	49	the	the	DET
ma-142	99	50	range	range	NOUN
ma-142	99	51	1	1	NUM
ma-142	99	52	2	2	NUM
ma-142	99	53	≤	≤	NUM
ma-142	99	54	h	h	NOUN
ma-142	99	55	≤	≤	NUM
ma-142	99	56	5	5	NUM
ma-142	99	57	8	8	NUM
ma-142	99	58	and	and	CCONJ
ma-142	99	59	t−1/4	t−1/4	NOUN
ma-142	99	60	for	for	ADP
ma-142	99	61	the	the	DET
ma-142	99	62	range	range	NOUN
ma-142	99	63	1	1	NUM
ma-142	99	64	2	2	NUM
ma-142	99	65	≤	≤	NUM
ma-142	99	66	h	h	NOUN
ma-142	99	67	≤	≤	NUM
ma-142	99	68	11	11	NUM
ma-142	99	69	16	16	NUM
ma-142	99	70	for	for	ADP
ma-142	99	71	the	the	DET
ma-142	99	72	qlse	qlse	NOUN
ma-142	99	73	using	use	VERB
ma-142	99	74	the	the	DET
ma-142	99	75	squeezing	squeezing	NOUN
ma-142	99	76	method	method	NOUN
ma-142	99	77	as	as	ADP
ma-142	99	78	in	in	ADP
ma-142	99	79	chapter	chapter	NOUN
ma-142	99	80	1	1	NUM
ma-142	99	81	inbishwal	inbishwal	NOUN
ma-142	99	82	[	[	X
ma-142	99	83	1	1	NUM
ma-142	99	84	]	]	PUNCT
ma-142	99	85	.	.	PUNCT
ma-142	100	1	the	the	DET
ma-142	100	2	main	main	ADJ
ma-142	100	3	contribution	contribution	NOUN
ma-142	100	4	of	of	ADP
ma-142	100	5	the	the	DET
ma-142	100	6	paper	paper	NOUN
ma-142	100	7	is	be	AUX
ma-142	100	8	thus	thus	ADV
ma-142	100	9	improvement	improvement	NOUN
ma-142	100	10	in	in	ADP
ma-142	100	11	the	the	DET
ma-142	100	12	rate	rate	NOUN
ma-142	100	13	my	my	PRON
ma-142	100	14	removing	remove	VERB
ma-142	100	15	the	the	DET
ma-142	100	16	logt	logt	ADJ
ma-142	100	17	term	term	NOUN
ma-142	100	18	.	.	PUNCT
ma-142	101	1	note	note	VERB
ma-142	101	2	the	the	DET
ma-142	101	3	critical	critical	ADJ
ma-142	101	4	points	point	NOUN
ma-142	101	5	:	:	PUNCT
ma-142	101	6	1	1	NUM
ma-142	101	7	2	2	NUM
ma-142	101	8	=	=	SYM
ma-142	101	9	0.50	0.50	NUM
ma-142	101	10	,	,	PUNCT
ma-142	101	11	58	58	NUM
ma-142	101	12	=	=	SYM
ma-142	101	13	0.63	0.63	NUM
ma-142	101	14	,	,	PUNCT
ma-142	101	15	23	23	NUM
ma-142	101	16	=	=	SYM
ma-142	101	17	0.67	0.67	NUM
ma-142	101	18	,	,	PUNCT
ma-142	101	19	1116	1116	NUM
ma-142	101	20	=	=	SYM
ma-142	101	21	0.69	0.69	NUM
ma-142	101	22	,	,	PUNCT
ma-142	101	23	34	34	NUM
ma-142	101	24	=	=	SYM
ma-142	101	25	0.75	0.75	NUM
ma-142	101	26	.	.	PUNCT
ma-142	102	1	also	also	ADV
ma-142	102	2	0.63	0.63	NUM
ma-142	102	3	+	+	CCONJ
ma-142	102	4	0.06	0.06	NUM
ma-142	102	5	=	=	SYM
ma-142	102	6	0.69	0.69	NUM
ma-142	102	7	,	,	PUNCT
ma-142	102	8	0.69	0.69	NUM
ma-142	102	9	+	+	NUM
ma-142	102	10	0.06	0.06	NUM
ma-142	102	11	=	=	SYM
ma-142	102	12	0.75	0.75	NUM
ma-142	102	13	.	.	PUNCT
ma-142	103	1	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	103	2	eur	eur	PROPN
ma-142	103	3	.	.	PUNCT
ma-142	104	1	j.	j.	PROPN
ma-142	104	2	math	math	PROPN
ma-142	104	3	.	.	PUNCT
ma-142	105	1	anal	anal	PROPN
ma-142	105	2	.	.	PUNCT
ma-142	106	1	10.28924	10.28924	NUM
ma-142	106	2	/	/	SYM
ma-142	106	3	ada	ada	NOUN
ma-142	106	4	/	/	SYM
ma-142	106	5	ma.3.14	ma.3.14	NOUN
ma-142	106	6	5	5	NUM
ma-142	106	7	remark	remark	NOUN
ma-142	106	8	on	on	ADP
ma-142	106	9	the	the	DET
ma-142	106	10	critical	critical	ADJ
ma-142	106	11	point	point	NOUN
ma-142	106	12	58	58	NUM
ma-142	106	13	:	:	PUNCT
ma-142	106	14	for	for	ADP
ma-142	106	15	the	the	DET
ma-142	106	16	discrete	discrete	ADJ
ma-142	106	17	observations	observation	NOUN
ma-142	106	18	case	case	NOUN
ma-142	106	19	,	,	PUNCT
ma-142	106	20	es	es	NOUN
ma-142	106	21	-	-	PUNCT
ma-142	106	22	sebaiy	sebaiy	NOUN
ma-142	106	23	and	and	CCONJ
ma-142	106	24	viens	vien	NOUN
ma-142	107	1	[	[	X
ma-142	107	2	7]pointed	7]pointe	VERB
ma-142	107	3	out	out	ADP
ma-142	107	4	that	that	SCONJ
ma-142	107	5	if	if	SCONJ
ma-142	107	6	0	0	NUM
ma-142	107	7	<	<	X
ma-142	107	8	h	h	X
ma-142	107	9	<	<	X
ma-142	107	10	5	5	NUM
ma-142	107	11	8	8	NUM
ma-142	107	12	,	,	PUNCT
ma-142	107	13	then	then	ADV
ma-142	107	14	the	the	DET
ma-142	107	15	fourth	fourth	ADJ
ma-142	107	16	moment	moment	NOUN
ma-142	107	17	is	be	AUX
ma-142	107	18	of	of	ADP
ma-142	107	19	the	the	DET
ma-142	107	20	order	order	NOUN
ma-142	107	21	n−1	n−1	PROPN
ma-142	107	22	and	and	CCONJ
ma-142	107	23	if	if	SCONJ
ma-142	107	24	58	58	NUM
ma-142	107	25	<	<	X
ma-142	107	26	h	h	NOUN
ma-142	107	27	<	<	X
ma-142	107	28	3	3	NUM
ma-142	107	29	4	4	NUM
ma-142	107	30	,	,	PUNCT
ma-142	107	31	then	then	ADV
ma-142	107	32	the	the	DET
ma-142	107	33	fourth	fourth	ADJ
ma-142	107	34	moment	moment	NOUN
ma-142	107	35	is	be	AUX
ma-142	107	36	of	of	ADP
ma-142	107	37	the	the	DET
ma-142	107	38	order	order	NOUN
ma-142	107	39	n2(4h−3	n2(4h−3	NOUN
ma-142	107	40	)	)	PUNCT
ma-142	107	41	where	where	SCONJ
ma-142	107	42	n	n	PRON
ma-142	107	43	is	be	AUX
ma-142	107	44	the	the	DET
ma-142	107	45	number	number	NOUN
ma-142	107	46	of	of	ADP
ma-142	107	47	observations	observation	NOUN
ma-142	107	48	.	.	PUNCT
ma-142	108	1	theberry	theberry	NOUN
ma-142	108	2	-	-	PUNCT
ma-142	108	3	esseen	esseen	VERB
ma-142	108	4	rate	rate	NOUN
ma-142	108	5	for	for	ADP
ma-142	108	6	θ̂	θ̂	NUM
ma-142	108	7	is	be	AUX
ma-142	108	8	shown	show	VERB
ma-142	108	9	to	to	PART
ma-142	108	10	be	be	AUX
ma-142	108	11	of	of	ADP
ma-142	108	12	the	the	DET
ma-142	108	13	order	order	NOUN
ma-142	108	14	n−1/4	n−1/4	VERB
ma-142	108	15	for	for	ADP
ma-142	108	16	0	0	NUM
ma-142	108	17	<	<	X
ma-142	108	18	h	h	NOUN
ma-142	108	19	<	<	X
ma-142	108	20	5	5	NUM
ma-142	108	21	8	8	NUM
ma-142	108	22	and	and	CCONJ
ma-142	108	23	of	of	ADP
ma-142	108	24	the	the	DET
ma-142	108	25	order	order	NOUN
ma-142	108	26	n−(4h−3)/2	n−(4h−3)/2	ADJ
ma-142	108	27	if	if	SCONJ
ma-142	108	28	58	58	NUM
ma-142	108	29	<	<	X
ma-142	108	30	h	h	NOUN
ma-142	108	31	<	<	X
ma-142	108	32	3	3	NUM
ma-142	108	33	4	4	NUM
ma-142	108	34	.	.	PUNCT
ma-142	109	1	for	for	ADP
ma-142	109	2	h	h	NOUN
ma-142	109	3	=	=	NOUN
ma-142	109	4	3	3	NUM
ma-142	109	5	4	4	NUM
ma-142	109	6	,	,	PUNCT
ma-142	109	7	the	the	DET
ma-142	109	8	rate	rate	NOUN
ma-142	109	9	is	be	AUX
ma-142	109	10	(	(	PUNCT
ma-142	109	11	log	log	PROPN
ma-142	109	12	n)−1/4	n)−1/4	PROPN
ma-142	109	13	.	.	PUNCT
ma-142	110	1	the	the	DET
ma-142	110	2	proofs	proof	NOUN
ma-142	110	3	also	also	ADV
ma-142	110	4	need	need	VERB
ma-142	110	5	large	large	ADJ
ma-142	110	6	deviation	deviation	NOUN
ma-142	110	7	results	result	NOUN
ma-142	110	8	for	for	ADP
ma-142	110	9	the	the	DET
ma-142	110	10	stochastic	stochastic	ADJ
ma-142	110	11	integral	integral	ADJ
ma-142	110	12	and	and	CCONJ
ma-142	110	13	the	the	DET
ma-142	110	14	energy	energy	NOUN
ma-142	110	15	integral.these	integral.these	ADJ
ma-142	110	16	integrals	integral	NOUN
ma-142	110	17	can	can	AUX
ma-142	110	18	be	be	AUX
ma-142	110	19	represented	represent	VERB
ma-142	110	20	by	by	ADP
ma-142	110	21	multiple	multiple	ADJ
ma-142	110	22	wiener	wiener	NOUN
ma-142	110	23	integrals	integral	NOUN
ma-142	110	24	.	.	PUNCT
ma-142	111	1	then	then	ADV
ma-142	111	2	their	their	PRON
ma-142	111	3	expectations	expectation	NOUN
ma-142	111	4	andvariances	andvariance	VERB
ma-142	111	5	as	as	ADV
ma-142	111	6	well	well	ADV
ma-142	111	7	as	as	ADP
ma-142	111	8	the	the	DET
ma-142	111	9	fourth	fourth	ADJ
ma-142	111	10	moment	moment	NOUN
ma-142	111	11	of	of	ADP
ma-142	111	12	their	their	PRON
ma-142	111	13	malliavin	malliavin	NOUN
ma-142	111	14	derivatives	derivative	NOUN
ma-142	111	15	can	can	AUX
ma-142	111	16	be	be	AUX
ma-142	111	17	estimated.first	estimated.first	PROPN
ma-142	111	18	we	we	PRON
ma-142	111	19	calculate	calculate	VERB
ma-142	111	20	bounds	bound	NOUN
ma-142	111	21	on	on	ADP
ma-142	111	22	the	the	DET
ma-142	111	23	moments	moment	NOUN
ma-142	111	24	.	.	PUNCT
ma-142	112	1	let	let	VERB
ma-142	112	2	ϕt	ϕt	ADV
ma-142	112	3	(	(	PUNCT
ma-142	112	4	s	s	PROPN
ma-142	112	5	,	,	PUNCT
ma-142	112	6	t	t	PROPN
ma-142	112	7	)	)	PUNCT
ma-142	112	8	:	:	PUNCT
ma-142	113	1	=	=	NOUN
ma-142	113	2	e−θ|t−s|	e−θ|t−s|	ADJ
ma-142	113	3	,	,	PUNCT
ma-142	113	4	ψt	ψt	VERB
ma-142	113	5	(	(	PUNCT
ma-142	113	6	s	s	PROPN
ma-142	113	7	,	,	PUNCT
ma-142	113	8	t	t	PROPN
ma-142	113	9	)	)	PUNCT
ma-142	113	10	:	:	PUNCT
ma-142	113	11	=	=	SYM
ma-142	113	12	e−2θt+θ(s+t	e−2θt+θ(s+t	PROPN
ma-142	113	13	)	)	PUNCT
ma-142	113	14	,	,	PUNCT
ma-142	113	15	gt	gt	PROPN
ma-142	113	16	(	(	PUNCT
ma-142	113	17	s	s	PROPN
ma-142	113	18	,	,	PUNCT
ma-142	113	19	t	t	PROPN
ma-142	113	20	)	)	PUNCT
ma-142	113	21	:	:	PUNCT
ma-142	114	1	=	=	PUNCT
ma-142	114	2	e−θ(t−s)i[0,t](s	e−θ(t−s)i[0,t](s	NOUN
ma-142	114	3	)	)	PUNCT
ma-142	114	4	,	,	PUNCT
ma-142	114	5	(	(	PUNCT
ma-142	114	6	1.23	1.23	NUM
ma-142	114	7	)	)	PUNCT
ma-142	114	8	vh	vh	PROPN
ma-142	114	9	,	,	PUNCT
ma-142	114	10	θ	θ	NOUN
ma-142	114	11	:	:	PUNCT
ma-142	114	12	=	=	SYM
ma-142	114	13	θ−2hhγ(2h	θ−2hhγ(2h	PROPN
ma-142	114	14	)	)	PUNCT
ma-142	114	15	,	,	PUNCT
ma-142	114	16	ch	ch	NOUN
ma-142	114	17	,	,	PUNCT
ma-142	114	18	θ	θ	NOUN
ma-142	114	19	:	:	PUNCT
ma-142	114	20	=	=	SYM
ma-142	114	21	θ1−4h(4h	θ1−4h(4h	PRON
ma-142	114	22	−	−	NUM
ma-142	114	23	1)h2	1)h2	NUM
ma-142	114	24	(	(	PUNCT
ma-142	114	25	γ2(2h	γ2(2h	PROPN
ma-142	114	26	)	)	PUNCT
ma-142	115	1	+	+	CCONJ
ma-142	115	2	γ(2h)γ(3−	γ(2h)γ(3−	ADP
ma-142	115	3	4h)γ(4h	4h)γ(4h	NUM
ma-142	115	4	−	−	NOUN
ma-142	115	5	1	1	NUM
ma-142	115	6	)	)	PUNCT
ma-142	115	7	γ(2−	γ(2−	NOUN
ma-142	115	8	2h	2h	NUM
ma-142	115	9	)	)	PUNCT
ma-142	115	10	)	)	PUNCT
ma-142	115	11	.	.	PUNCT
ma-142	116	1	(	(	PUNCT
ma-142	116	2	1.24)observe	1.24)observe	NUM
ma-142	116	3	that	that	PRON
ma-142	116	4	xt	xt	PUNCT
ma-142	117	1	=	=	SYM
ma-142	117	2	i1(gt	i1(gt	PROPN
ma-142	117	3	(	(	PUNCT
ma-142	117	4	·	·	PROPN
ma-142	117	5	,	,	PUNCT
ma-142	117	6	t	t	PROPN
ma-142	117	7	)	)	PUNCT
ma-142	117	8	)	)	PUNCT
ma-142	117	9	,	,	PUNCT
ma-142	117	10	(	(	PUNCT
ma-142	117	11	1.25	1.25	NUM
ma-142	117	12	)	)	PUNCT
ma-142	117	13	mt	mt	PROPN
ma-142	117	14	=	=	SYM
ma-142	117	15	∫	∫	PROPN
ma-142	117	16	t	t	PROPN
ma-142	117	17	0	0	NUM
ma-142	117	18	xtdw	xtdw	PROPN
ma-142	118	1	h	h	PROPN
ma-142	118	2	t	t	PROPN
ma-142	119	1	=	=	SYM
ma-142	119	2	∫	∫	PROPN
ma-142	119	3	t	t	PROPN
ma-142	119	4	0	0	NUM
ma-142	120	1	∫	∫	PROPN
ma-142	120	2	t	t	PROPN
ma-142	120	3	0	0	NUM
ma-142	121	1	eθ(t−s)dwh	eθ(t−s)dwh	PROPN
ma-142	121	2	s	s	PART
ma-142	121	3	dw	dw	NOUN
ma-142	121	4	h	h	PROPN
ma-142	121	5	t	t	PROPN
ma-142	121	6	=	=	SYM
ma-142	121	7	1	1	NUM
ma-142	121	8	2	2	NUM
ma-142	121	9	eθ|t−s|dwh	eθ|t−s|dwh	PROPN
ma-142	121	10	s	s	PART
ma-142	121	11	dw	dw	NOUN
ma-142	121	12	h	h	PROPN
ma-142	121	13	t	t	PROPN
ma-142	121	14	=	=	SYM
ma-142	121	15	1	1	NUM
ma-142	121	16	2	2	NUM
ma-142	121	17	i2(ϕt	i2(ϕt	NUM
ma-142	121	18	)	)	PUNCT
ma-142	121	19	,	,	PUNCT
ma-142	121	20	(	(	PUNCT
ma-142	121	21	1.26	1.26	NUM
ma-142	121	22	)	)	PUNCT
ma-142	121	23	it	it	PRON
ma-142	121	24	=	=	PUNCT
ma-142	122	1	∫	∫	PROPN
ma-142	122	2	t	t	NOUN
ma-142	122	3	0	0	NUM
ma-142	123	1	x2	x2	PROPN
ma-142	123	2	t	t	NOUN
ma-142	123	3	dt	dt	NOUN
ma-142	124	1	=	=	NOUN
ma-142	124	2	1	1	NUM
ma-142	124	3	2θ	2θ	NUM
ma-142	124	4	i2(ϕt	i2(ϕt	NUM
ma-142	124	5	)	)	PUNCT
ma-142	125	1	+	+	CCONJ
ma-142	125	2	1	1	NUM
ma-142	125	3	2θ	2θ	NUM
ma-142	125	4	i2(ψt	i2(ψt	PROPN
ma-142	125	5	)	)	PUNCT
ma-142	126	1	+	+	CCONJ
ma-142	127	1	∫	∫	PROPN
ma-142	127	2	t	t	NOUN
ma-142	127	3	0	0	NUM
ma-142	128	1	‖gt	‖gt	NUM
ma-142	128	2	(	(	PUNCT
ma-142	128	3	·	·	PUNCT
ma-142	128	4	,	,	PUNCT
ma-142	128	5	t)‖2hdt	t)‖2hdt	PROPN
ma-142	128	6	(	(	PUNCT
ma-142	128	7	1.27)where	1.27)where	NUM
ma-142	128	8	i1	i1	PROPN
ma-142	128	9	and	and	CCONJ
ma-142	128	10	i2	i2	PROPN
ma-142	128	11	are	be	AUX
ma-142	128	12	first	first	ADJ
ma-142	128	13	and	and	CCONJ
ma-142	128	14	second	second	ADJ
ma-142	128	15	wiener	wiener	NOUN
ma-142	128	16	chaos	chaos	NOUN
ma-142	128	17	respectively	respectively	ADV
ma-142	128	18	.	.	PUNCT
ma-142	129	1	furthermore,∫	furthermore,∫	PROPN
ma-142	130	1	t	t	NOUN
ma-142	130	2	0	0	NUM
ma-142	131	1	‖gt	‖gt	NUM
ma-142	131	2	(	(	PUNCT
ma-142	131	3	·	·	PUNCT
ma-142	131	4	,	,	PUNCT
ma-142	131	5	t)‖2hdt	t)‖2hdt	PROPN
ma-142	131	6	=	=	SYM
ma-142	131	7	vh	vh	PROPN
ma-142	131	8	,	,	PUNCT
ma-142	131	9	θt	θt	X
ma-142	131	10	+	+	ADJ
ma-142	131	11	o(t	o(t	PROPN
ma-142	131	12	)	)	PUNCT
ma-142	131	13	.	.	PUNCT
ma-142	132	1	(	(	PUNCT
ma-142	132	2	1.28	1.28	NUM
ma-142	132	3	)	)	PUNCT
ma-142	132	4	for	for	ADP
ma-142	132	5	12	12	NUM
ma-142	132	6	<	<	X
ma-142	132	7	h	h	NOUN
ma-142	132	8	<	<	X
ma-142	132	9	3	3	NUM
ma-142	132	10	4	4	NUM
ma-142	132	11	,	,	PUNCT
ma-142	132	12	e(xtxs	e(xtxs	NOUN
ma-142	132	13	)	)	PUNCT
ma-142	132	14	≤	≤	NOUN
ma-142	132	15	c|t	c|t	VERB
ma-142	133	1	−	−	NOUN
ma-142	133	2	s|2h−2	s|2h−2	ADJ
ma-142	133	3	,	,	PUNCT
ma-142	133	4	(	(	PUNCT
ma-142	133	5	1.29	1.29	NUM
ma-142	133	6	)	)	PUNCT
ma-142	133	7	‖ϕt	‖ϕt	NUM
ma-142	133	8	‖2h	‖2h	PROPN
ma-142	133	9	=	=	SYM
ma-142	133	10	2	2	NUM
ma-142	133	11	t	t	NOUN
ma-142	133	12	(	(	PUNCT
ma-142	133	13	ch	ch	NOUN
ma-142	133	14	,	,	PUNCT
ma-142	133	15	t	t	PROPN
ma-142	133	16	+	+	CCONJ
ma-142	133	17	(	(	PUNCT
ma-142	133	18	o(1	o(1	NOUN
ma-142	133	19	)	)	PUNCT
ma-142	133	20	)	)	PUNCT
ma-142	133	21	,	,	PUNCT
ma-142	133	22	‖ψt	‖ψt	X
ma-142	133	23	‖2h	‖2h	PROPN
ma-142	133	24	=	=	SYM
ma-142	133	25	o(1	o(1	PROPN
ma-142	133	26	)	)	PUNCT
ma-142	133	27	.	.	PUNCT
ma-142	134	1	(	(	PUNCT
ma-142	134	2	1.30)for	1.30)for	NUM
ma-142	134	3	h	h	NOUN
ma-142	134	4	=	=	SYM
ma-142	134	5	1	1	NUM
ma-142	134	6	2	2	NUM
ma-142	134	7	,	,	PUNCT
ma-142	134	8	by	by	ADP
ma-142	134	9	the	the	DET
ma-142	134	10	isometry	isometry	NOUN
ma-142	134	11	of	of	ADP
ma-142	134	12	the	the	DET
ma-142	134	13	itô	itô	PROPN
ma-142	134	14	integral	integral	ADJ
ma-142	134	15	,	,	PUNCT
ma-142	134	16	we	we	PRON
ma-142	134	17	obtain	obtain	VERB
ma-142	134	18	‖ϕt	‖ϕt	NUM
ma-142	134	19	‖2h	‖2h	PROPN
ma-142	134	20	=	=	SYM
ma-142	134	21	2	2	NUM
ma-142	134	22	∫	∫	NOUN
ma-142	134	23	t	t	PROPN
ma-142	134	24	0	0	NUM
ma-142	134	25	∫	∫	PROPN
ma-142	135	1	t	t	PROPN
ma-142	135	2	0	0	PUNCT
ma-142	136	1	e2θ(t−s)dtds	e2θ(t−s)dtds	ADV
ma-142	136	2	=	=	NOUN
ma-142	136	3	t	t	NOUN
ma-142	136	4	θ	θ	PROPN
ma-142	137	1	+	+	CCONJ
ma-142	137	2	e2θt	e2θt	PUNCT
ma-142	137	3	−	−	NUM
ma-142	137	4	1	1	NUM
ma-142	137	5	2θ2	2θ2	NUM
ma-142	137	6	=	=	SYM
ma-142	137	7	2	2	NUM
ma-142	137	8	t	t	NOUN
ma-142	137	9	(	(	PUNCT
ma-142	137	10	ch	ch	NOUN
ma-142	137	11	,	,	PUNCT
ma-142	137	12	t	t	PROPN
ma-142	137	13	+	+	CCONJ
ma-142	137	14	(	(	PUNCT
ma-142	137	15	o(1	o(1	NOUN
ma-142	137	16	)	)	PUNCT
ma-142	137	17	)	)	PUNCT
ma-142	137	18	.	.	PUNCT
ma-142	138	1	(	(	PUNCT
ma-142	138	2	1.31	1.31	NUM
ma-142	138	3	)	)	PUNCT
ma-142	138	4	‖ψt	‖ψt	X
ma-142	139	1	‖2h	‖2h	PROPN
ma-142	139	2	=	=	ADJ
ma-142	139	3	e−4θt	e−4θt	NOUN
ma-142	139	4	∫	∫	PROPN
ma-142	139	5	t	t	PROPN
ma-142	139	6	0	0	NUM
ma-142	140	1	∫	∫	PROPN
ma-142	140	2	t	t	NOUN
ma-142	140	3	0	0	PUNCT
ma-142	141	1	e−2θ(t+s)dtds	e−2θ(t+s)dtds	PROPN
ma-142	141	2	=	=	PRON
ma-142	142	1	(	(	PUNCT
ma-142	142	2	e−2θt	e−2θt	ADJ
ma-142	142	3	−	−	PROPN
ma-142	142	4	1)2	1)2	NUM
ma-142	142	5	4θ2	4θ2	NUM
ma-142	142	6	=	=	SYM
ma-142	142	7	o(1	o(1	NOUN
ma-142	142	8	)	)	PUNCT
ma-142	142	9	.	.	PUNCT
ma-142	143	1	(	(	PUNCT
ma-142	143	2	1.32	1.32	NUM
ma-142	143	3	)	)	PUNCT
ma-142	143	4	for	for	ADP
ma-142	143	5	12	12	NUM
ma-142	143	6	<	<	X
ma-142	143	7	h	h	NOUN
ma-142	143	8	<	<	X
ma-142	143	9	3	3	NUM
ma-142	143	10	4	4	NUM
ma-142	143	11	,	,	PUNCT
ma-142	143	12	,	,	PUNCT
ma-142	143	13	using	use	VERB
ma-142	143	14	lemma	lemma	PROPN
ma-142	143	15	5.3	5.3	NUM
ma-142	143	16	in	in	ADP
ma-142	143	17	hu	hu	PROPN
ma-142	143	18	and	and	CCONJ
ma-142	143	19	nualart	nualart	PRON
ma-142	143	20	[	[	X
ma-142	143	21	10	10	NUM
ma-142	143	22	]	]	PUNCT
ma-142	143	23	,	,	PUNCT
ma-142	143	24	we	we	PRON
ma-142	143	25	have	have	VERB
ma-142	143	26	‖ψt	‖ψt	X
ma-142	143	27	‖2h	‖2h	PROPN
ma-142	143	28	≤	≤	NUM
ma-142	143	29	γ2(2h	γ2(2h	ADV
ma-142	143	30	)	)	PUNCT
ma-142	143	31	(	(	PUNCT
ma-142	143	32	2h	2h	NUM
ma-142	143	33	−	−	PROPN
ma-142	143	34	1)2	1)2	NUM
ma-142	143	35	θ−4h	θ−4h	NOUN
ma-142	143	36	.	.	PUNCT
ma-142	144	1	(	(	PUNCT
ma-142	144	2	1.33	1.33	NUM
ma-142	144	3	)	)	PUNCT
ma-142	144	4	let	let	VERB
ma-142	144	5	υt	υt	NOUN
ma-142	145	1	=	=	SYM
ma-142	146	1	t	t	PROPN
ma-142	146	2	for	for	ADP
ma-142	146	3	h	h	NOUN
ma-142	146	4	=	=	SYM
ma-142	146	5	1	1	NUM
ma-142	146	6	2	2	NUM
ma-142	146	7	and	and	CCONJ
ma-142	146	8	υt	υt	PRON
ma-142	147	1	=	=	SYM
ma-142	147	2	t	t	PROPN
ma-142	147	3	8h−4	8h−4	NUM
ma-142	147	4	for	for	ADP
ma-142	147	5	12	12	NUM
ma-142	147	6	<	<	X
ma-142	147	7	h	h	NOUN
ma-142	147	8	<	<	X
ma-142	147	9	3	3	NUM
ma-142	147	10	4	4	NUM
ma-142	147	11	.	.	PUNCT
ma-142	148	1	we	we	PRON
ma-142	148	2	obtain	obtain	VERB
ma-142	148	3	the	the	DET
ma-142	148	4	variances	variance	NOUN
ma-142	148	5	bounds	bound	NOUN
ma-142	148	6	on	on	ADP
ma-142	148	7	the	the	DET
ma-142	148	8	malliavin	malliavin	NOUN
ma-142	148	9	derivative	derivative	NOUN
ma-142	148	10	of	of	ADP
ma-142	148	11	mt	mt	PROPN
ma-142	148	12	and	and	CCONJ
ma-142	148	13	it	it	PRON
ma-142	148	14	.	.	PUNCT
ma-142	149	1	e(‖dmt	e(‖dmt	VERB
ma-142	149	2	‖2h	‖2h	PROPN
ma-142	149	3	−	−	PROPN
ma-142	149	4	e‖dmt	e‖dmt	SYM
ma-142	149	5	‖2h	‖2h	ADJ
ma-142	149	6	)	)	PUNCT
ma-142	149	7	≤	≤	NOUN
ma-142	149	8	cυt	cυt	NOUN
ma-142	149	9	,	,	PUNCT
ma-142	149	10	(	(	PUNCT
ma-142	149	11	1.34	1.34	NUM
ma-142	149	12	)	)	PUNCT
ma-142	149	13	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	149	14	eur	eur	PROPN
ma-142	149	15	.	.	PUNCT
ma-142	150	1	j.	j.	PROPN
ma-142	150	2	math	math	PROPN
ma-142	150	3	.	.	PUNCT
ma-142	151	1	anal	anal	PROPN
ma-142	151	2	.	.	PUNCT
ma-142	152	1	10.28924	10.28924	NUM
ma-142	152	2	/	/	SYM
ma-142	152	3	ada	ada	NOUN
ma-142	152	4	/	/	SYM
ma-142	152	5	ma.3.14	ma.3.14	NOUN
ma-142	152	6	6	6	NUM
ma-142	152	7	e(‖dit	e(‖dit	NOUN
ma-142	152	8	‖2h	‖2h	PROPN
ma-142	152	9	−	−	PROPN
ma-142	152	10	e‖dit	e‖dit	NOUN
ma-142	152	11	‖2h	‖2h	PROPN
ma-142	152	12	)	)	PUNCT
ma-142	152	13	≤	≤	NUM
ma-142	152	14	cυt	cυt	NOUN
ma-142	152	15	(	(	PUNCT
ma-142	152	16	1.35)where	1.35)where	NUM
ma-142	152	17	d	d	NOUN
ma-142	152	18	is	be	AUX
ma-142	152	19	the	the	DET
ma-142	152	20	malliavin	malliavin	PROPN
ma-142	152	21	derivative	derivative	NOUN
ma-142	152	22	operator.we	operator.we	PRON
ma-142	152	23	have	have	VERB
ma-142	152	24	the	the	DET
ma-142	152	25	bound	bind	VERB
ma-142	152	26	on	on	ADP
ma-142	152	27	the	the	DET
ma-142	152	28	fourth	fourth	ADJ
ma-142	152	29	moment	moment	NOUN
ma-142	152	30	e(‖di2(ϕt	e(‖di2(ϕt	NOUN
ma-142	152	31	)	)	PUNCT
ma-142	152	32	‖2h	‖2h	PROPN
ma-142	152	33	−	−	PROPN
ma-142	152	34	e‖di2(ϕt	e‖di2(ϕt	NOUN
ma-142	152	35	)	)	PUNCT
ma-142	152	36	‖2h)2	‖2h)2	VERB
ma-142	152	37	≤	≤	NUM
ma-142	152	38	cυt	cυt	NOUN
ma-142	152	39	.	.	PUNCT
ma-142	153	1	(	(	PUNCT
ma-142	153	2	1.36	1.36	NUM
ma-142	153	3	)	)	PUNCT
ma-142	153	4	for	for	ADP
ma-142	153	5	12	12	NUM
ma-142	153	6	<	<	X
ma-142	153	7	h	h	NOUN
ma-142	153	8	<	<	X
ma-142	153	9	3	3	NUM
ma-142	153	10	4	4	NUM
ma-142	153	11	,	,	PUNCT
ma-142	153	12	,	,	PUNCT
ma-142	153	13	we	we	PRON
ma-142	153	14	have	have	VERB
ma-142	153	15	the	the	DET
ma-142	153	16	bound	bind	VERB
ma-142	153	17	on	on	ADP
ma-142	153	18	the	the	DET
ma-142	153	19	fourth	fourth	ADJ
ma-142	153	20	moment	moment	NOUN
ma-142	153	21	e(‖di2(ϕt	e(‖di2(ϕt	NOUN
ma-142	153	22	)	)	PUNCT
ma-142	153	23	‖2h	‖2h	PROPN
ma-142	153	24	−	−	PROPN
ma-142	153	25	e‖di2(ϕt	e‖di2(ϕt	NOUN
ma-142	153	26	)	)	PUNCT
ma-142	153	27	‖2h)2	‖2h)2	VERB
ma-142	153	28	≤	≤	NUM
ma-142	153	29	ct	ct	NUM
ma-142	153	30	8h−4	8h−4	NUM
ma-142	153	31	.	.	PUNCT
ma-142	154	1	(	(	PUNCT
ma-142	154	2	1.38	1.38	NUM
ma-142	154	3	)	)	PUNCT
ma-142	154	4	we	we	PRON
ma-142	154	5	have	have	VERB
ma-142	154	6	the	the	DET
ma-142	154	7	bound	bind	VERB
ma-142	154	8	on	on	ADP
ma-142	154	9	the	the	DET
ma-142	154	10	fourth	fourth	ADJ
ma-142	154	11	moment	moment	NOUN
ma-142	154	12	e(‖di2(ψt	e(‖di2(ψt	NOUN
ma-142	154	13	)	)	PUNCT
ma-142	154	14	‖2h	‖2h	PROPN
ma-142	154	15	−	−	PROPN
ma-142	154	16	e‖di2(ψt	e‖di2(ψt	NOUN
ma-142	154	17	)	)	PUNCT
ma-142	154	18	‖2h)2	‖2h)2	VERB
ma-142	154	19	≤	≤	ADJ
ma-142	154	20	c.	c.	NOUN
ma-142	154	21	(	(	PUNCT
ma-142	154	22	1.39	1.39	NUM
ma-142	154	23	)	)	PUNCT
ma-142	154	24	ds	ds	ADJ
ma-142	154	25	i2(ψt	i2(ψt	PROPN
ma-142	154	26	)	)	PUNCT
ma-142	155	1	=	=	PUNCT
ma-142	155	2	−2e−2θt+θs	−2e−2θt+θs	AUX
ma-142	155	3	∫	∫	PROPN
ma-142	155	4	t	t	PROPN
ma-142	155	5	0	0	NUM
ma-142	155	6	eθtdwh	eθtdwh	PROPN
ma-142	155	7	t	t	PROPN
ma-142	155	8	.	.	PUNCT
ma-142	156	1	(	(	PUNCT
ma-142	156	2	1.40	1.40	NUM
ma-142	156	3	)	)	PUNCT
ma-142	156	4	e‖ds	e‖ds	PROPN
ma-142	156	5	i2(ψt	i2(ψt	PROPN
ma-142	156	6	)	)	PUNCT
ma-142	156	7	‖4h	‖4h	PROPN
ma-142	156	8	=	=	SYM
ma-142	156	9	16e−8θt	16e−8θt	NUM
ma-142	156	10	(	(	PUNCT
ma-142	156	11	∫	∫	PROPN
ma-142	156	12	t	t	PROPN
ma-142	156	13	0	0	NUM
ma-142	156	14	eθtdwh	eθtdwh	PROPN
ma-142	156	15	t	t	PROPN
ma-142	156	16	)	)	PUNCT
ma-142	156	17	4(∫	4(∫	PROPN
ma-142	156	18	t	t	NOUN
ma-142	156	19	0	0	PUNCT
ma-142	157	1	e2θtdt	e2θtdt	INTJ
ma-142	157	2	)	)	PUNCT
ma-142	157	3	2	2	NUM
ma-142	157	4	=	=	SYM
ma-142	157	5	48e−8θt	48e−8θt	NUM
ma-142	157	6	(	(	PUNCT
ma-142	157	7	∫	∫	PROPN
ma-142	157	8	t	t	PROPN
ma-142	157	9	0	0	PROPN
ma-142	158	1	e2θtdt	e2θtdt	NUM
ma-142	158	2	)	)	PUNCT
ma-142	158	3	4	4	NUM
ma-142	158	4	.	.	PUNCT
ma-142	159	1	(	(	PUNCT
ma-142	159	2	1.41	1.41	NUM
ma-142	159	3	)	)	PUNCT
ma-142	159	4	e‖ds	e‖ds	PROPN
ma-142	159	5	i2(ψt	i2(ψt	PROPN
ma-142	159	6	)	)	PUNCT
ma-142	159	7	‖2h	‖2h	PROPN
ma-142	159	8	=	=	SYM
ma-142	159	9	4e−4θt	4e−4θt	PROPN
ma-142	159	10	(	(	PUNCT
ma-142	159	11	∫	∫	PROPN
ma-142	159	12	t	t	PROPN
ma-142	159	13	0	0	PROPN
ma-142	160	1	e2θtdt	e2θtdt	INTJ
ma-142	160	2	)	)	PUNCT
ma-142	160	3	2	2	NUM
ma-142	160	4	.	.	PUNCT
ma-142	161	1	(	(	PUNCT
ma-142	161	2	1.42	1.42	NUM
ma-142	161	3	)	)	PUNCT
ma-142	161	4	therefore	therefore	ADV
ma-142	161	5	e(‖di2(ψt	e(‖di2(ψt	PROPN
ma-142	161	6	)	)	PUNCT
ma-142	161	7	‖2h	‖2h	PROPN
ma-142	161	8	−	−	PROPN
ma-142	161	9	e‖di2(ψt	e‖di2(ψt	NOUN
ma-142	161	10	)	)	PUNCT
ma-142	161	11	‖2h)2	‖2h)2	NOUN
ma-142	161	12	=	=	SYM
ma-142	161	13	e‖di2(ψt	e‖di2(ψt	NOUN
ma-142	161	14	)	)	PUNCT
ma-142	161	15	|4h	|4h	ADP
ma-142	161	16	−	−	PROPN
ma-142	161	17	(	(	PUNCT
ma-142	161	18	e‖di2(ψt	e‖di2(ψt	NOUN
ma-142	161	19	)	)	PUNCT
ma-142	161	20	‖2h)2	‖2h)2	NOUN
ma-142	161	21	=	=	SYM
ma-142	162	1	2(1−	2(1−	X
ma-142	162	2	e−2θt	e−2θt	ADJ
ma-142	162	3	)	)	PUNCT
ma-142	162	4	4	4	NUM
ma-142	162	5	θ4	θ4	NOUN
ma-142	162	6	.	.	PUNCT
ma-142	163	1	(	(	PUNCT
ma-142	163	2	1.43)similarly	1.43)similarly	NUM
ma-142	163	3	for	for	ADP
ma-142	163	4	the	the	DET
ma-142	163	5	case	case	NOUN
ma-142	163	6	12	12	NUM
ma-142	163	7	<	<	X
ma-142	163	8	h	h	NOUN
ma-142	163	9	<	<	X
ma-142	163	10	3	3	NUM
ma-142	163	11	4	4	NUM
ma-142	163	12	,	,	PUNCT
ma-142	163	13	it	it	PRON
ma-142	163	14	can	can	AUX
ma-142	163	15	be	be	AUX
ma-142	163	16	shown	show	VERB
ma-142	163	17	that	that	SCONJ
ma-142	163	18	e(‖di2(ψt	e(‖di2(ψt	NOUN
ma-142	163	19	)	)	PUNCT
ma-142	163	20	‖2h	‖2h	PROPN
ma-142	163	21	−	−	PROPN
ma-142	163	22	e‖di2(ψt	e‖di2(ψt	NOUN
ma-142	163	23	)	)	PUNCT
ma-142	163	24	‖2h)2	‖2h)2	NOUN
ma-142	163	25	≤	≤	NOUN
ma-142	163	26	32γ4(2h	32γ4(2h	NUM
ma-142	163	27	)	)	PUNCT
ma-142	163	28	(	(	PUNCT
ma-142	163	29	2h	2h	NUM
ma-142	163	30	−	−	PROPN
ma-142	163	31	1)4	1)4	NUM
ma-142	163	32	θ−8h	θ−8h	NOUN
ma-142	163	33	.	.	PUNCT
ma-142	164	1	(	(	PUNCT
ma-142	164	2	1.44)first	1.44)first	NUM
ma-142	164	3	we	we	PRON
ma-142	164	4	have	have	VERB
ma-142	164	5	the	the	DET
ma-142	164	6	berry	berry	NOUN
ma-142	164	7	-	-	PUNCT
ma-142	164	8	esseen	esseen	VERB
ma-142	164	9	bounds	bound	NOUN
ma-142	164	10	for	for	ADP
ma-142	164	11	the	the	DET
ma-142	164	12	stochastic	stochastic	ADJ
ma-142	164	13	integral	integral	ADJ
ma-142	164	14	and	and	CCONJ
ma-142	164	15	adjusted	adjusted	ADJ
ma-142	164	16	energy	energy	NOUN
ma-142	164	17	integral	integral	ADJ
ma-142	164	18	.	.	PUNCT
ma-142	165	1	byusing	byuse	VERB
ma-142	165	2	the	the	DET
ma-142	165	3	optimal	optimal	ADJ
ma-142	165	4	fourth	fourth	ADJ
ma-142	165	5	moment	moment	NOUN
ma-142	165	6	theorem	theorem	NOUN
ma-142	165	7	(	(	PUNCT
ma-142	165	8	skewness	skewness	NOUN
ma-142	165	9	-	-	PUNCT
ma-142	165	10	kurtosis	kurtosis	NOUN
ma-142	165	11	inequality	inequality	NOUN
ma-142	165	12	)	)	PUNCT
ma-142	165	13	from	from	ADP
ma-142	165	14	stein	stein	PROPN
ma-142	165	15	-	-	PUNCT
ma-142	165	16	malliavintheory	malliavintheory	PROPN
ma-142	165	17	,	,	PUNCT
ma-142	165	18	we	we	PRON
ma-142	165	19	have	have	VERB
ma-142	165	20	:	:	PUNCT
ma-142	165	21	for	for	ADP
ma-142	165	22	12	12	NUM
ma-142	165	23	≤	≤	NUM
ma-142	165	24	h	h	NOUN
ma-142	165	25	≤	≤	NOUN
ma-142	165	26	5/8	5/8	NUM
ma-142	165	27	,	,	PUNCT
ma-142	165	28	we	we	PRON
ma-142	165	29	have	have	VERB
ma-142	165	30	sup	sup	NOUN
ma-142	165	31	x∈r	x∈r	PROPN
ma-142	165	32	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	165	33			PUNCT
ma-142	165	34	(	(	PUNCT
ma-142	165	35	c−1h	c−1h	ADJ
ma-142	165	36	,	,	PUNCT
ma-142	165	37	θ	θ	PROPN
ma-142	165	38	t	t	PROPN
ma-142	165	39	)	)	PUNCT
ma-142	166	1	1/2	1/2	NUM
ma-142	166	2	mt	mt	PROPN
ma-142	166	3	≤	≤	NOUN
ma-142	166	4	x	x	PUNCT
ma-142	166	5	−φ(x	−φ(x	NOUN
ma-142	166	6	)	)	PUNCT
ma-142	166	7	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	166	8	≤	≤	NUM
ma-142	166	9	c	c	NOUN
ma-142	166	10	e	e	PROPN
ma-142	166	11	(	(	PUNCT
ma-142	166	12	‖d	‖d	ADJ
ma-142	166	13	(	(	PUNCT
ma-142	166	14	c−1h	c−1h	NOUN
ma-142	166	15	,	,	PUNCT
ma-142	166	16	θ	θ	PROPN
ma-142	166	17	t	t	PROPN
ma-142	166	18	)	)	PUNCT
ma-142	166	19	1/2	1/2	NUM
ma-142	166	20	mt	mt	PROPN
ma-142	166	21	‖2h	‖2h	PROPN
ma-142	166	22	−	−	PROPN
ma-142	167	1	e‖d	e‖d	NOUN
ma-142	167	2	(	(	PUNCT
ma-142	167	3	c−1h	c−1h	NOUN
ma-142	167	4	,	,	PUNCT
ma-142	167	5	θ	θ	PROPN
ma-142	167	6	t	t	PROPN
ma-142	167	7	)	)	PUNCT
ma-142	167	8	1/2	1/2	NUM
ma-142	167	9	mt	mt	PROPN
ma-142	167	10	‖2h	‖2h	PROPN
ma-142	167	11	)	)	PUNCT
ma-142	167	12	2	2	NUM
ma-142	167	13	1/2	1/2	NUM
ma-142	167	14	≤	≤	NOUN
ma-142	167	15	ct−1/2	ct−1/2	NOUN
ma-142	167	16	.	.	PUNCT
ma-142	168	1	(	(	PUNCT
ma-142	168	2	1.45	1.45	NUM
ma-142	168	3	)	)	PUNCT
ma-142	168	4	for	for	ADP
ma-142	168	5	58	58	NUM
ma-142	168	6	<	<	X
ma-142	168	7	h	h	NOUN
ma-142	168	8	<	<	X
ma-142	168	9	3	3	NUM
ma-142	168	10	4	4	NUM
ma-142	168	11	,	,	PUNCT
ma-142	168	12	sup	sup	NOUN
ma-142	168	13	x∈r	x∈r	PROPN
ma-142	168	14	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	168	15			PUNCT
ma-142	168	16	(	(	PUNCT
ma-142	168	17	c−1h	c−1h	ADJ
ma-142	168	18	,	,	PUNCT
ma-142	168	19	θ	θ	PROPN
ma-142	168	20	t	t	PROPN
ma-142	168	21	)	)	PUNCT
ma-142	168	22	1/2	1/2	NUM
ma-142	168	23	mt	mt	PROPN
ma-142	168	24	≤	≤	NOUN
ma-142	168	25	x	x	PUNCT
ma-142	168	26	−φ(x	−φ(x	NOUN
ma-142	168	27	)	)	PUNCT
ma-142	168	28	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	168	29	≤	≤	NUM
ma-142	168	30	c	c	NOUN
ma-142	168	31	e	e	PROPN
ma-142	168	32	(	(	PUNCT
ma-142	168	33	‖d	‖d	ADJ
ma-142	168	34	(	(	PUNCT
ma-142	168	35	c−1h	c−1h	NOUN
ma-142	168	36	,	,	PUNCT
ma-142	168	37	θ	θ	PROPN
ma-142	168	38	t	t	PROPN
ma-142	168	39	)	)	PUNCT
ma-142	168	40	1/2	1/2	NUM
ma-142	168	41	mt	mt	PROPN
ma-142	168	42	‖2h	‖2h	PROPN
ma-142	168	43	−	−	PROPN
ma-142	168	44	e‖d	e‖d	NOUN
ma-142	168	45	(	(	PUNCT
ma-142	168	46	c−1h	c−1h	NOUN
ma-142	168	47	,	,	PUNCT
ma-142	168	48	θ	θ	PROPN
ma-142	168	49	t	t	PROPN
ma-142	168	50	)	)	PUNCT
ma-142	168	51	1/2	1/2	NUM
ma-142	168	52	mt	mt	PROPN
ma-142	168	53	‖2h	‖2h	PROPN
ma-142	168	54	)	)	PUNCT
ma-142	168	55	2	2	NUM
ma-142	168	56	1/2	1/2	NUM
ma-142	168	57	≤	≤	NOUN
ma-142	168	58	c	c	PROPN
ma-142	168	59	t	t	PROPN
ma-142	168	60	4h−3	4h−3	NUM
ma-142	168	61	.	.	PUNCT
ma-142	169	1	(	(	PUNCT
ma-142	169	2	1.46	1.46	NUM
ma-142	169	3	)	)	PUNCT
ma-142	169	4	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	169	5	eur	eur	PROPN
ma-142	169	6	.	.	PUNCT
ma-142	170	1	j.	j.	PROPN
ma-142	170	2	math	math	PROPN
ma-142	170	3	.	.	PUNCT
ma-142	171	1	anal	anal	PROPN
ma-142	171	2	.	.	PUNCT
ma-142	172	1	10.28924	10.28924	NUM
ma-142	172	2	/	/	SYM
ma-142	172	3	ada	ada	PROPN
ma-142	172	4	/	/	SYM
ma-142	172	5	ma.3.14	ma.3.14	NOUN
ma-142	172	6	7for	7for	PROPN
ma-142	172	7	12	12	NUM
ma-142	172	8	≤	≤	NUM
ma-142	172	9	h	h	NOUN
ma-142	172	10	≤	≤	NOUN
ma-142	172	11	5/8	5/8	NUM
ma-142	172	12	,	,	PUNCT
ma-142	172	13	we	we	PRON
ma-142	172	14	have	have	VERB
ma-142	172	15	sup	sup	NOUN
ma-142	172	16	x∈r	x∈r	PROPN
ma-142	172	17	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	172	18			PUNCT
ma-142	172	19	(	(	PUNCT
ma-142	172	20	c−1h	c−1h	ADJ
ma-142	172	21	,	,	PUNCT
ma-142	172	22	θ	θ	PROPN
ma-142	172	23	t	t	PROPN
ma-142	172	24	)	)	PUNCT
ma-142	172	25	1/2	1/2	NUM
ma-142	172	26	(	(	PUNCT
ma-142	172	27	θ̃t	θ̃t	X
ma-142	172	28	it	it	PRON
ma-142	172	29	−	−	PROPN
ma-142	172	30	t	t	NOUN
ma-142	172	31	−σ2h	−σ2h	PUNCT
ma-142	172	32	)	)	PUNCT
ma-142	172	33	≤	≤	NOUN
ma-142	172	34	x	x	PUNCT
ma-142	172	35	−φ(x	−φ(x	NOUN
ma-142	172	36	)	)	PUNCT
ma-142	172	37	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	172	38	≤	≤	NUM
ma-142	172	39	c	c	NOUN
ma-142	172	40	e	e	PROPN
ma-142	172	41	(	(	PUNCT
ma-142	172	42	‖d	‖d	ADJ
ma-142	172	43	(	(	PUNCT
ma-142	172	44	c−1h	c−1h	NOUN
ma-142	172	45	,	,	PUNCT
ma-142	172	46	θ	θ	PROPN
ma-142	172	47	t	t	PROPN
ma-142	172	48	)	)	PUNCT
ma-142	172	49	1/2	1/2	NUM
ma-142	172	50	(	(	PUNCT
ma-142	172	51	θ̃t	θ̃t	X
ma-142	173	1	it	it	PRON
ma-142	173	2	−	−	PROPN
ma-142	173	3	t	t	NOUN
ma-142	173	4	−σ2h	−σ2h	PROPN
ma-142	173	5	)	)	PUNCT
ma-142	174	1	‖2h	‖2h	PROPN
ma-142	174	2	−	−	X
ma-142	174	3	e‖d	e‖d	NOUN
ma-142	174	4	(	(	PUNCT
ma-142	174	5	c−1h	c−1h	NOUN
ma-142	174	6	,	,	PUNCT
ma-142	174	7	θ	θ	PROPN
ma-142	174	8	t	t	PROPN
ma-142	174	9	)	)	PUNCT
ma-142	174	10	1/2	1/2	NUM
ma-142	174	11	(	(	PUNCT
ma-142	174	12	θ̃t	θ̃t	X
ma-142	174	13	it	it	PRON
ma-142	174	14	−	−	PROPN
ma-142	174	15	t	t	NOUN
ma-142	174	16	−σ2h	−σ2h	PROPN
ma-142	174	17	)	)	PUNCT
ma-142	175	1	‖2h	‖2h	PROPN
ma-142	175	2	)	)	PUNCT
ma-142	175	3	2	2	NUM
ma-142	175	4	1/2	1/2	NUM
ma-142	175	5	≤	≤	NOUN
ma-142	175	6	ct−1/2	ct−1/2	NOUN
ma-142	175	7	.	.	PUNCT
ma-142	176	1	(	(	PUNCT
ma-142	176	2	1.47)for	1.47)for	NUM
ma-142	176	3	58	58	NUM
ma-142	176	4	<	<	X
ma-142	176	5	h	h	NOUN
ma-142	176	6	<	<	X
ma-142	176	7	3	3	NUM
ma-142	176	8	4	4	NUM
ma-142	176	9	,	,	PUNCT
ma-142	176	10	sup	sup	NOUN
ma-142	176	11	x∈r	x∈r	PROPN
ma-142	176	12	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	176	13			PUNCT
ma-142	176	14	(	(	PUNCT
ma-142	176	15	c−1h	c−1h	ADJ
ma-142	176	16	,	,	PUNCT
ma-142	176	17	θ	θ	PROPN
ma-142	176	18	t	t	PROPN
ma-142	176	19	)	)	PUNCT
ma-142	176	20	1/2	1/2	NUM
ma-142	176	21	(	(	PUNCT
ma-142	176	22	θ̃t	θ̃t	X
ma-142	176	23	it	it	PRON
ma-142	176	24	−	−	PROPN
ma-142	176	25	t	t	NOUN
ma-142	176	26	−σ2h	−σ2h	PUNCT
ma-142	176	27	)	)	PUNCT
ma-142	176	28	≤	≤	NOUN
ma-142	176	29	x	x	PUNCT
ma-142	176	30	−φ(x	−φ(x	NOUN
ma-142	176	31	)	)	PUNCT
ma-142	176	32	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	176	33	≤	≤	NUM
ma-142	176	34	c	c	NOUN
ma-142	176	35	e	e	PROPN
ma-142	176	36	(	(	PUNCT
ma-142	176	37	‖d	‖d	ADJ
ma-142	176	38	(	(	PUNCT
ma-142	176	39	c−1h	c−1h	NOUN
ma-142	176	40	,	,	PUNCT
ma-142	176	41	θ	θ	PROPN
ma-142	176	42	t	t	PROPN
ma-142	176	43	)	)	PUNCT
ma-142	176	44	1/2	1/2	NUM
ma-142	176	45	(	(	PUNCT
ma-142	176	46	θ̃t	θ̃t	X
ma-142	176	47	it	it	PRON
ma-142	176	48	−	−	PROPN
ma-142	176	49	t	t	NOUN
ma-142	176	50	−σ2h	−σ2h	PROPN
ma-142	176	51	)	)	PUNCT
ma-142	177	1	‖2h	‖2h	PROPN
ma-142	177	2	−	−	X
ma-142	177	3	e‖d	e‖d	NOUN
ma-142	177	4	(	(	PUNCT
ma-142	177	5	c−1h	c−1h	NOUN
ma-142	177	6	,	,	PUNCT
ma-142	177	7	θ	θ	PROPN
ma-142	177	8	t	t	PROPN
ma-142	177	9	)	)	PUNCT
ma-142	177	10	1/2	1/2	NUM
ma-142	177	11	(	(	PUNCT
ma-142	177	12	θ̃t	θ̃t	X
ma-142	177	13	it	it	PRON
ma-142	177	14	−	−	PROPN
ma-142	177	15	t	t	NOUN
ma-142	177	16	−σ2h	−σ2h	PROPN
ma-142	177	17	)	)	PUNCT
ma-142	178	1	‖2h	‖2h	PROPN
ma-142	178	2	)	)	PUNCT
ma-142	178	3	2	2	NUM
ma-142	178	4	1/2	1/2	NUM
ma-142	178	5	≤	≤	NOUN
ma-142	178	6	c	c	PROPN
ma-142	178	7	t	t	PROPN
ma-142	178	8	4h−3	4h−3	NUM
ma-142	178	9	.	.	PUNCT
ma-142	179	1	(	(	PUNCT
ma-142	179	2	1.48)for	1.48)for	NUM
ma-142	179	3	12	12	NUM
ma-142	179	4	≤	≤	NUM
ma-142	179	5	h	h	NOUN
ma-142	179	6	≤	≤	NUM
ma-142	179	7	5	5	NUM
ma-142	179	8	8	8	NUM
ma-142	179	9	,	,	PUNCT
ma-142	179	10	we	we	PRON
ma-142	179	11	have	have	VERB
ma-142	179	12	for	for	ADP
ma-142	179	13	|x	|x	NOUN
ma-142	179	14	|	|	ADV
ma-142	179	15	≤	≤	NUM
ma-142	179	16	2(logt	2(logt	NUM
ma-142	179	17	)	)	PUNCT
ma-142	179	18	1/2	1/2	NUM
ma-142	179	19	,	,	PUNCT
ma-142	179	20	sup	sup	NOUN
ma-142	179	21	y∈r	y∈r	NOUN
ma-142	179	22	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	179	23			PUNCT
ma-142	179	24	(	(	PUNCT
ma-142	179	25	−σ2h	−σ2h	PROPN
ma-142	179	26	θ̃t	θ̃t	ADP
ma-142	179	27	t	t	PROPN
ma-142	179	28	)	)	PUNCT
ma-142	179	29	1/2	1/2	NUM
ma-142	179	30	mt	mt	PROPN
ma-142	179	31	−	−	PROPN
ma-142	179	32	(	(	PUNCT
ma-142	179	33	(	(	PUNCT
ma-142	179	34	−σ2h	−σ2h	X
ma-142	179	35	θ̃t	θ̃t	ADP
ma-142	179	36	t	t	PROPN
ma-142	179	37	)	)	PUNCT
ma-142	180	1	it	it	PRON
ma-142	180	2	−	−	NOUN
ma-142	180	3	1	1	NUM
ma-142	180	4	)	)	PUNCT
ma-142	180	5	x	x	SYM
ma-142	180	6	≤	≤	ADJ
ma-142	180	7	y	y	PROPN
ma-142	180	8	−φ(y	−φ(y	NOUN
ma-142	180	9	)	)	PUNCT
ma-142	180	10	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	180	11	≤	≤	PROPN
ma-142	180	12	ct−1/2	ct−1/2	PROPN
ma-142	180	13	.	.	PUNCT
ma-142	181	1	(	(	PUNCT
ma-142	181	2	1.49	1.49	NUM
ma-142	181	3	)	)	PUNCT
ma-142	181	4	for	for	ADP
ma-142	181	5	58	58	NUM
ma-142	181	6	<	<	X
ma-142	181	7	h	h	NOUN
ma-142	181	8	<	<	X
ma-142	181	9	3	3	NUM
ma-142	181	10	4	4	NUM
ma-142	181	11	,	,	PUNCT
ma-142	181	12	we	we	PRON
ma-142	181	13	have	have	VERB
ma-142	181	14	for	for	ADP
ma-142	181	15	|x	|x	NOUN
ma-142	181	16	|	|	ADV
ma-142	181	17	≤	≤	NUM
ma-142	181	18	2(logt	2(logt	NUM
ma-142	181	19	)	)	PUNCT
ma-142	181	20	1/2	1/2	NUM
ma-142	181	21	,	,	PUNCT
ma-142	181	22	sup	sup	NOUN
ma-142	181	23	y∈r	y∈r	NOUN
ma-142	181	24	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	181	25			PUNCT
ma-142	181	26	(	(	PUNCT
ma-142	181	27	−σ2h	−σ2h	PROPN
ma-142	181	28	θ̃t	θ̃t	ADP
ma-142	181	29	t	t	PROPN
ma-142	181	30	)	)	PUNCT
ma-142	181	31	1/2	1/2	NUM
ma-142	181	32	mt	mt	PROPN
ma-142	181	33	−	−	PROPN
ma-142	181	34	(	(	PUNCT
ma-142	181	35	(	(	PUNCT
ma-142	181	36	−σ2h	−σ2h	X
ma-142	181	37	θ̃t	θ̃t	ADP
ma-142	181	38	t	t	PROPN
ma-142	181	39	)	)	PUNCT
ma-142	182	1	it	it	PRON
ma-142	182	2	−	−	NOUN
ma-142	182	3	1	1	NUM
ma-142	182	4	)	)	PUNCT
ma-142	182	5	x	x	SYM
ma-142	182	6	≤	≤	ADJ
ma-142	182	7	y	y	PROPN
ma-142	182	8	−φ(y	−φ(y	NOUN
ma-142	182	9	)	)	PUNCT
ma-142	182	10	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	182	11	≤	≤	PROPN
ma-142	182	12	ct	ct	NUM
ma-142	182	13	4h−3	4h−3	NUM
ma-142	182	14	.	.	PUNCT
ma-142	183	1	(	(	PUNCT
ma-142	183	2	1.50	1.50	NUM
ma-142	183	3	)	)	PUNCT
ma-142	183	4	for	for	ADP
ma-142	183	5	12	12	NUM
ma-142	183	6	≤	≤	NUM
ma-142	183	7	h	h	NOUN
ma-142	183	8	≤	≤	NOUN
ma-142	183	9	11	11	NUM
ma-142	183	10	16	16	NUM
ma-142	183	11	,	,	PUNCT
ma-142	183	12	we	we	PRON
ma-142	183	13	have	have	VERB
ma-142	183	14	sup	sup	NOUN
ma-142	183	15	x∈r	x∈r	PROPN
ma-142	183	16	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	183	17			PUNCT
ma-142	183	18	(	(	PUNCT
ma-142	183	19	c−1h	c−1h	ADJ
ma-142	183	20	,	,	PUNCT
ma-142	183	21	θ	θ	PROPN
ma-142	183	22	t	t	PROPN
ma-142	183	23	)	)	PUNCT
ma-142	183	24	1/2	1/2	NUM
ma-142	183	25	nt	not	PART
ma-142	183	26	≤	≤	NUM
ma-142	183	27	x	x	PUNCT
ma-142	183	28	−φ(x	−φ(x	NOUN
ma-142	183	29	)	)	PUNCT
ma-142	183	30	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	183	31	≤	≤	NUM
ma-142	183	32	c	c	NOUN
ma-142	183	33	e	e	PROPN
ma-142	183	34	(	(	PUNCT
ma-142	183	35	‖d	‖d	ADJ
ma-142	183	36	(	(	PUNCT
ma-142	183	37	c−1h	c−1h	NOUN
ma-142	183	38	,	,	PUNCT
ma-142	183	39	θ	θ	PROPN
ma-142	183	40	t	t	PROPN
ma-142	183	41	)	)	PUNCT
ma-142	183	42	1/2	1/2	NUM
ma-142	183	43	nt	not	PART
ma-142	184	1	‖2h	‖2h	PROPN
ma-142	184	2	−	−	PROPN
ma-142	184	3	e‖d	e‖d	NOUN
ma-142	184	4	(	(	PUNCT
ma-142	184	5	c−1h	c−1h	NOUN
ma-142	184	6	,	,	PUNCT
ma-142	184	7	θ	θ	PROPN
ma-142	184	8	t	t	PROPN
ma-142	184	9	)	)	PUNCT
ma-142	184	10	1/2	1/2	NUM
ma-142	184	11	nt	not	PART
ma-142	184	12	‖2h	‖2h	PROPN
ma-142	184	13	)	)	PUNCT
ma-142	184	14	2	2	NUM
ma-142	184	15	1/2	1/2	NUM
ma-142	184	16	≤	≤	NOUN
ma-142	184	17	ct−1/2	ct−1/2	NOUN
ma-142	184	18	.	.	PUNCT
ma-142	185	1	(	(	PUNCT
ma-142	185	2	1.51	1.51	NUM
ma-142	185	3	)	)	PUNCT
ma-142	185	4	for	for	ADP
ma-142	185	5	1116	1116	NUM
ma-142	185	6	<	<	X
ma-142	185	7	h	h	NOUN
ma-142	185	8	<	<	X
ma-142	185	9	3	3	NUM
ma-142	185	10	4	4	NUM
ma-142	185	11	,	,	PUNCT
ma-142	185	12	sup	sup	NOUN
ma-142	185	13	x∈r	x∈r	PROPN
ma-142	185	14	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	185	15			PUNCT
ma-142	185	16	(	(	PUNCT
ma-142	185	17	c−1h	c−1h	ADJ
ma-142	185	18	,	,	PUNCT
ma-142	185	19	θ	θ	PROPN
ma-142	185	20	t	t	PROPN
ma-142	185	21	)	)	PUNCT
ma-142	185	22	1/2	1/2	NUM
ma-142	185	23	nt	not	PART
ma-142	185	24	≤	≤	NUM
ma-142	185	25	x	x	PUNCT
ma-142	185	26	−φ(x	−φ(x	NOUN
ma-142	185	27	)	)	PUNCT
ma-142	185	28	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	185	29	≤	≤	NUM
ma-142	185	30	c	c	NOUN
ma-142	185	31	e	e	PROPN
ma-142	185	32	(	(	PUNCT
ma-142	185	33	‖d	‖d	ADJ
ma-142	185	34	(	(	PUNCT
ma-142	185	35	c−1h	c−1h	NOUN
ma-142	185	36	,	,	PUNCT
ma-142	185	37	θ	θ	PROPN
ma-142	185	38	t	t	PROPN
ma-142	185	39	)	)	PUNCT
ma-142	185	40	1/2	1/2	NUM
ma-142	185	41	nt	not	PART
ma-142	185	42	‖2h	‖2h	PROPN
ma-142	185	43	−	−	PROPN
ma-142	185	44	e‖d	e‖d	NOUN
ma-142	185	45	(	(	PUNCT
ma-142	185	46	c−1h	c−1h	NOUN
ma-142	185	47	,	,	PUNCT
ma-142	185	48	θ	θ	PROPN
ma-142	185	49	t	t	PROPN
ma-142	185	50	)	)	PUNCT
ma-142	185	51	1/2	1/2	NUM
ma-142	185	52	nt	not	PART
ma-142	185	53	‖2h	‖2h	PROPN
ma-142	185	54	)	)	PUNCT
ma-142	185	55	2	2	NUM
ma-142	185	56	1/2	1/2	NUM
ma-142	185	57	≤	≤	NOUN
ma-142	185	58	c	c	PROPN
ma-142	185	59	t	t	PROPN
ma-142	185	60	4h−3	4h−3	NUM
ma-142	185	61	.	.	PUNCT
ma-142	186	1	(	(	PUNCT
ma-142	186	2	1.52	1.52	NUM
ma-142	186	3	)	)	PUNCT
ma-142	186	4	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	186	5	eur	eur	PROPN
ma-142	186	6	.	.	PUNCT
ma-142	187	1	j.	j.	PROPN
ma-142	187	2	math	math	PROPN
ma-142	187	3	.	.	PUNCT
ma-142	188	1	anal	anal	PROPN
ma-142	188	2	.	.	PUNCT
ma-142	189	1	10.28924	10.28924	NUM
ma-142	189	2	/	/	SYM
ma-142	189	3	ada	ada	NOUN
ma-142	189	4	/	/	SYM
ma-142	189	5	ma.3.14	ma.3.14	NOUN
ma-142	189	6	8for	8for	ADP
ma-142	189	7	12	12	NUM
ma-142	189	8	≤	≤	NUM
ma-142	189	9	h	h	NOUN
ma-142	189	10	≤	≤	NOUN
ma-142	189	11	11	11	NUM
ma-142	189	12	16	16	NUM
ma-142	189	13	,	,	PUNCT
ma-142	189	14	we	we	PRON
ma-142	189	15	have	have	VERB
ma-142	189	16	for	for	ADP
ma-142	189	17	|x	|x	NOUN
ma-142	189	18	|	|	ADV
ma-142	189	19	≤	≤	NUM
ma-142	189	20	2(logt	2(logt	NUM
ma-142	189	21	)	)	PUNCT
ma-142	189	22	1/2	1/2	NUM
ma-142	189	23	,	,	PUNCT
ma-142	189	24	sup	sup	NOUN
ma-142	189	25	y∈r	y∈r	NOUN
ma-142	189	26	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	189	27	2h	2h	PROPN
ma-142	189	28	(	(	PUNCT
ma-142	189	29	−σ2h	−σ2h	PROPN
ma-142	189	30	θ̃t	θ̃t	ADP
ma-142	189	31	t	t	PROPN
ma-142	189	32	)	)	PUNCT
ma-142	189	33	1/2	1/2	NUM
ma-142	190	1	nt	not	PART
ma-142	190	2	−	−	PROPN
ma-142	190	3	(	(	PUNCT
ma-142	190	4	(	(	PUNCT
ma-142	190	5	−σ2h	−σ2h	X
ma-142	190	6	θ̃t	θ̃t	ADP
ma-142	190	7	t	t	PROPN
ma-142	190	8	)	)	PUNCT
ma-142	190	9	it	it	PRON
ma-142	190	10	−	−	NOUN
ma-142	190	11	1	1	NUM
ma-142	190	12	)	)	PUNCT
ma-142	190	13	x	x	SYM
ma-142	190	14	≤	≤	ADJ
ma-142	190	15	y	y	PROPN
ma-142	190	16	−φ(y	−φ(y	NOUN
ma-142	190	17	)	)	PUNCT
ma-142	190	18	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	190	19	≤	≤	PROPN
ma-142	190	20	ct−1/4	ct−1/4	PROPN
ma-142	190	21	.	.	PUNCT
ma-142	191	1	(	(	PUNCT
ma-142	191	2	1.53	1.53	NUM
ma-142	191	3	)	)	PUNCT
ma-142	191	4	for	for	ADP
ma-142	191	5	1116	1116	NUM
ma-142	191	6	<	<	X
ma-142	191	7	h	h	NOUN
ma-142	191	8	<	<	X
ma-142	191	9	3	3	NUM
ma-142	191	10	4	4	NUM
ma-142	191	11	,	,	PUNCT
ma-142	191	12	we	we	PRON
ma-142	191	13	have	have	VERB
ma-142	191	14	for	for	ADP
ma-142	191	15	|x	|x	NOUN
ma-142	191	16	|	|	ADV
ma-142	191	17	≤	≤	NUM
ma-142	191	18	2(logt	2(logt	NUM
ma-142	191	19	)	)	PUNCT
ma-142	191	20	1/2	1/2	NUM
ma-142	191	21	,	,	PUNCT
ma-142	191	22	sup	sup	NOUN
ma-142	191	23	y∈r	y∈r	NOUN
ma-142	191	24	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	192	1	2h	2h	PROPN
ma-142	192	2	(	(	PUNCT
ma-142	192	3	−σ2h	−σ2h	PROPN
ma-142	192	4	θ̃t	θ̃t	ADP
ma-142	192	5	t	t	PROPN
ma-142	192	6	)	)	PUNCT
ma-142	192	7	1/2	1/2	NUM
ma-142	192	8	nt	not	PART
ma-142	192	9	−	−	PROPN
ma-142	192	10	(	(	PUNCT
ma-142	192	11	(	(	PUNCT
ma-142	192	12	−σ2h	−σ2h	X
ma-142	192	13	θ̃t	θ̃t	ADP
ma-142	192	14	t	t	PROPN
ma-142	192	15	)	)	PUNCT
ma-142	193	1	it	it	PRON
ma-142	193	2	−	−	NOUN
ma-142	193	3	1	1	NUM
ma-142	193	4	)	)	PUNCT
ma-142	193	5	x	x	SYM
ma-142	193	6	≤	≤	ADJ
ma-142	193	7	y	y	PROPN
ma-142	193	8	−φ(y	−φ(y	NOUN
ma-142	193	9	)	)	PUNCT
ma-142	193	10	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	193	11	≤	≤	PROPN
ma-142	193	12	ct	ct	NUM
ma-142	193	13	4h−3	4h−3	NUM
ma-142	193	14	.	.	PUNCT
ma-142	194	1	(	(	PUNCT
ma-142	194	2	1.54	1.54	NUM
ma-142	194	3	)	)	PUNCT
ma-142	194	4	2	2	NUM
ma-142	194	5	.	.	X
ma-142	194	6	main	main	ADJ
ma-142	194	7	results	result	NOUN
ma-142	194	8	we	we	PRON
ma-142	194	9	need	need	VERB
ma-142	194	10	the	the	DET
ma-142	194	11	next	next	ADJ
ma-142	194	12	two	two	NUM
ma-142	194	13	lemmas	lemma	NOUN
ma-142	194	14	from	from	ADP
ma-142	194	15	jiang	jiang	PROPN
ma-142	194	16	et	et	PROPN
ma-142	194	17	al	al	PROPN
ma-142	194	18	.	.	PUNCT
ma-142	195	1	[	[	X
ma-142	195	2	12	12	NUM
ma-142	195	3	]	]	PUNCT
ma-142	195	4	on	on	ADP
ma-142	195	5	large	large	ADJ
ma-142	195	6	deviations	deviation	NOUN
ma-142	195	7	to	to	PART
ma-142	195	8	obtain	obtain	VERB
ma-142	195	9	bounds	bound	VERB
ma-142	195	10	onthe	onthe	NOUN
ma-142	195	11	tail	tail	NOUN
ma-142	195	12	probabilities	probability	NOUN
ma-142	195	13	of	of	ADP
ma-142	195	14	the	the	DET
ma-142	195	15	estimators	estimator	NOUN
ma-142	195	16	.	.	PUNCT
ma-142	196	1	the	the	DET
ma-142	196	2	first	first	ADJ
ma-142	196	3	lemma	lemma	PROPN
ma-142	196	4	is	be	AUX
ma-142	196	5	on	on	ADP
ma-142	196	6	large	large	ADJ
ma-142	196	7	deviations	deviation	NOUN
ma-142	196	8	for	for	ADP
ma-142	196	9	stochastic	stochastic	ADJ
ma-142	196	10	integral	integral	ADJ
ma-142	196	11	.	.	PUNCT
ma-142	197	1	lemma	lemma	PROPN
ma-142	197	2	2.1	2.1	NUM
ma-142	197	3	for	for	ADP
ma-142	197	4	every	every	DET
ma-142	197	5	δ	δ	PROPN
ma-142	197	6	>	>	X
ma-142	197	7	0	0	PROPN
ma-142	197	8	,	,	PUNCT
ma-142	197	9	p	p	X
ma-142	197	10	{	{	PUNCT
ma-142	197	11	∣∣∣∣mt	∣∣∣∣mt	NOUN
ma-142	197	12	t	t	PROPN
ma-142	197	13	∣∣∣∣	∣∣∣∣	PROPN
ma-142	197	14	≥	≥	NUM
ma-142	197	15	δ	δ	PROPN
ma-142	197	16	}	}	PUNCT
ma-142	197	17	≤	≤	NUM
ma-142	197	18	c	c	NOUN
ma-142	197	19	exp	exp	NOUN
ma-142	197	20	(	(	PUNCT
ma-142	197	21	−	−	PROPN
ma-142	197	22	t	t	PROPN
ma-142	197	23	1/2δ	1/2δ	NUM
ma-142	197	24	4c	4c	NUM
ma-142	197	25	1/2	1/2	NUM
ma-142	197	26	h	h	NOUN
ma-142	197	27	,	,	PUNCT
ma-142	197	28	θ	θ	PROPN
ma-142	197	29	)	)	PUNCT
ma-142	197	30	.	.	PUNCT
ma-142	198	1	remark	remark	NOUN
ma-142	198	2	for	for	ADP
ma-142	198	3	the	the	DET
ma-142	198	4	case	case	NOUN
ma-142	198	5	h	h	NOUN
ma-142	198	6	=	=	NOUN
ma-142	198	7	0.5	0.5	NUM
ma-142	198	8	,	,	PUNCT
ma-142	198	9	there	there	PRON
ma-142	198	10	is	be	VERB
ma-142	198	11	a	a	DET
ma-142	198	12	long	long	ADJ
ma-142	198	13	history	history	NOUN
ma-142	198	14	of	of	ADP
ma-142	198	15	work	work	NOUN
ma-142	198	16	:	:	PUNCT
ma-142	198	17	for	for	ADP
ma-142	198	18	every	every	DET
ma-142	198	19	δ	δ	PROPN
ma-142	198	20	>	>	X
ma-142	198	21	0	0	PROPN
ma-142	198	22	,	,	PUNCT
ma-142	198	23	p	p	X
ma-142	198	24	{	{	PUNCT
ma-142	198	25	∣∣∣∣mt	∣∣∣∣mt	NOUN
ma-142	198	26	t	t	PROPN
ma-142	198	27	∣∣∣∣	∣∣∣∣	PROPN
ma-142	198	28	≥	≥	NUM
ma-142	198	29	δ	δ	PROPN
ma-142	198	30	}	}	PUNCT
ma-142	198	31	≤	≤	NUM
ma-142	198	32	c0	c0	NOUN
ma-142	198	33	exp	exp	NOUN
ma-142	198	34	(	(	PUNCT
ma-142	198	35	−c1tδ2	−c1tδ2	PROPN
ma-142	198	36	)	)	PUNCT
ma-142	198	37	.	.	PUNCT
ma-142	199	1	see	see	VERB
ma-142	199	2	gao	gao	PROPN
ma-142	199	3	and	and	CCONJ
ma-142	199	4	jiang	jiang	PROPN
ma-142	200	1	[	[	X
ma-142	200	2	9].for	9].for	NUM
ma-142	200	3	any	any	DET
ma-142	200	4	0	0	NUM
ma-142	200	5	≤	≤	NUM
ma-142	200	6	α	α	NOUN
ma-142	200	7	≤	≤	PUNCT
ma-142	200	8	θ2/4	θ2/4	NOUN
ma-142	200	9	,	,	PUNCT
ma-142	200	10	there	there	PRON
ma-142	200	11	exist	exist	VERB
ma-142	200	12	constants	constant	NOUN
ma-142	200	13	c3	c3	NOUN
ma-142	200	14	and	and	CCONJ
ma-142	200	15	c4	c4	VERB
ma-142	200	16	such	such	ADJ
ma-142	200	17	that	that	DET
ma-142	200	18	e(eαit	e(eαit	X
ma-142	200	19	)	)	PUNCT
ma-142	200	20	≤	≤	NUM
ma-142	200	21	c3ec4αt	c3ec4αt	PROPN
ma-142	200	22	.	.	PUNCT
ma-142	201	1	(	(	PUNCT
ma-142	201	2	2.1)see	2.1)see	NUM
ma-142	201	3	gao	gao	NOUN
ma-142	201	4	and	and	CCONJ
ma-142	201	5	jiang	jiang	PROPN
ma-142	202	1	[	[	X
ma-142	202	2	9	9	NUM
ma-142	202	3	]	]	PUNCT
ma-142	202	4	.	.	PUNCT
ma-142	203	1	by	by	ADP
ma-142	203	2	chebyshev	chebyshev	PROPN
ma-142	203	3	inequality	inequality	NOUN
ma-142	203	4	,	,	PUNCT
ma-142	203	5	we	we	PRON
ma-142	203	6	have	have	VERB
ma-142	203	7	p	p	NOUN
ma-142	203	8	(	(	PUNCT
ma-142	203	9	|xt	|xt	NUM
ma-142	203	10	−	−	PROPN
ma-142	203	11	e(xt	e(xt	NOUN
ma-142	203	12	)	)	PUNCT
ma-142	203	13	|	|	ADV
ma-142	203	14	≥	≥	NOUN
ma-142	203	15	δ	δ	PROPN
ma-142	203	16	)	)	PUNCT
ma-142	203	17	≤	≤	NOUN
ma-142	203	18	2	2	NUM
ma-142	203	19	exp(−θδ2	exp(−θδ2	NUM
ma-142	203	20	)	)	PUNCT
ma-142	203	21	.	.	PUNCT
ma-142	204	1	(	(	PUNCT
ma-142	204	2	2.2	2.2	NUM
ma-142	204	3	)	)	PUNCT
ma-142	204	4	the	the	DET
ma-142	204	5	second	second	ADJ
ma-142	204	6	lemma	lemma	PROPN
ma-142	204	7	is	be	AUX
ma-142	204	8	on	on	ADP
ma-142	204	9	large	large	ADJ
ma-142	204	10	deviations	deviation	NOUN
ma-142	204	11	in	in	ADP
ma-142	204	12	the	the	DET
ma-142	204	13	ergodic	ergodic	ADJ
ma-142	204	14	theorem	theorem	PROPN
ma-142	204	15	.	.	PUNCT
ma-142	205	1	lemma	lemma	PROPN
ma-142	205	2	2.2	2.2	NUM
ma-142	205	3	for	for	ADP
ma-142	205	4	every	every	DET
ma-142	205	5	δ	δ	PROPN
ma-142	205	6	>	>	X
ma-142	205	7	0	0	PROPN
ma-142	205	8	,	,	PUNCT
ma-142	205	9	p	p	NOUN
ma-142	205	10	{	{	PUNCT
ma-142	205	11	∣∣∣∣	∣∣∣∣	NOUN
ma-142	205	12	itt	itt	PROPN
ma-142	205	13	−	−	PROPN
ma-142	205	14	vh	vh	PROPN
ma-142	205	15	,	,	PUNCT
ma-142	205	16	θ	θ	PROPN
ma-142	205	17	∣∣∣∣	∣∣∣∣	PROPN
ma-142	205	18	≥	≥	NUM
ma-142	205	19	δ	δ	PROPN
ma-142	205	20	}	}	PUNCT
ma-142	205	21	≤	≤	NUM
ma-142	205	22	c	c	NOUN
ma-142	205	23	exp	exp	NOUN
ma-142	205	24	(	(	PUNCT
ma-142	205	25	−	−	PROPN
ma-142	205	26	t	t	PROPN
ma-142	205	27	1/2δ	1/2δ	NUM
ma-142	205	28	4c	4c	NUM
ma-142	205	29	1/2	1/2	NUM
ma-142	205	30	h	h	NOUN
ma-142	205	31	,	,	PUNCT
ma-142	205	32	θ	θ	PROPN
ma-142	205	33	)	)	PUNCT
ma-142	205	34	.	.	PUNCT
ma-142	206	1	observe	observe	VERB
ma-142	206	2	that	that	SCONJ
ma-142	206	3	by	by	ADP
ma-142	206	4	(	(	PUNCT
ma-142	206	5	1.11	1.11	NUM
ma-142	206	6	)	)	PUNCT
ma-142	206	7	θ̂t	θ̂t	X
ma-142	206	8	=	=	SYM
ma-142	206	9	θ	θ	PROPN
ma-142	206	10	−	−	PROPN
ma-142	206	11	mt	mt	PROPN
ma-142	206	12	it	it	PRON
ma-142	206	13	.	.	PUNCT
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ma-142	207	2	eur	eur	PROPN
ma-142	207	3	.	.	PUNCT
ma-142	208	1	j.	j.	PROPN
ma-142	208	2	math	math	PROPN
ma-142	208	3	.	.	PUNCT
ma-142	209	1	anal	anal	PROPN
ma-142	209	2	.	.	PUNCT
ma-142	210	1	10.28924	10.28924	NUM
ma-142	210	2	/	/	SYM
ma-142	210	3	ada	ada	NOUN
ma-142	210	4	/	/	SYM
ma-142	210	5	ma.3.14	ma.3.14	NOUN
ma-142	210	6	9using	9using	NUM
ma-142	210	7	the	the	DET
ma-142	210	8	elementary	elementary	ADJ
ma-142	210	9	inequality	inequality	PROPN
ma-142	210	10	p	p	PROPN
ma-142	210	11	(	(	PUNCT
ma-142	210	12	|	|	NOUN
ma-142	210	13	ξ	ξ	X
ma-142	210	14	η	η	PROPN
ma-142	210	15	|	|	PROPN
ma-142	210	16	≥	≥	NOUN
ma-142	210	17	u	u	NOUN
ma-142	210	18	)	)	PUNCT
ma-142	210	19	≤	≤	NOUN
ma-142	210	20	p	p	NOUN
ma-142	210	21	(	(	PUNCT
ma-142	210	22	|ξ|	|ξ|	PROPN
ma-142	210	23	≥	≥	NOUN
ma-142	210	24	uv	uv	NOUN
ma-142	210	25	)	)	PUNCT
ma-142	211	1	+	+	NOUN
ma-142	211	2	p	p	X
ma-142	211	3	(	(	PUNCT
ma-142	211	4	η	η	PROPN
ma-142	211	5	−	−	PROPN
ma-142	211	6	2v	2v	PROPN
ma-142	211	7	|	|	CCONJ
ma-142	211	8	≥	≥	NOUN
ma-142	211	9	v	v	NOUN
ma-142	211	10	)	)	PUNCT
ma-142	211	11	,	,	PUNCT
ma-142	211	12	(	(	PUNCT
ma-142	211	13	2.3	2.3	NUM
ma-142	211	14	)	)	PUNCT
ma-142	211	15	we	we	PRON
ma-142	211	16	have	have	VERB
ma-142	211	17	p	p	NOUN
ma-142	211	18	(	(	PUNCT
ma-142	211	19	|θ̂t	|θ̂t	PROPN
ma-142	211	20	−	−	PROPN
ma-142	211	21	θ|	θ|	PROPN
ma-142	211	22	≥	≥	NUM
ma-142	211	23	δ	δ	NOUN
ma-142	211	24	)	)	PUNCT
ma-142	211	25	≤	≤	NOUN
ma-142	212	1	p	p	NOUN
ma-142	212	2	(	(	PUNCT
ma-142	212	3	|it	|it	PROPN
ma-142	212	4	−	−	PROPN
ma-142	212	5	vh	vh	PROPN
ma-142	212	6	,	,	PUNCT
ma-142	212	7	θt	θt	PROPN
ma-142	212	8	|	|	ADV
ma-142	212	9	≥	≥	NOUN
ma-142	212	10	1	1	NUM
ma-142	212	11	2vh	2vh	NOUN
ma-142	212	12	,	,	PUNCT
ma-142	212	13	θt	θt	ADJ
ma-142	212	14	)	)	PUNCT
ma-142	213	1	+	+	CCONJ
ma-142	213	2	p	p	X
ma-142	213	3	(	(	PUNCT
ma-142	213	4	|θ̂t	|θ̂t	PROPN
ma-142	213	5	−	−	PROPN
ma-142	213	6	θ|	θ|	PROPN
ma-142	213	7	≥	≥	NUM
ma-142	213	8	δ	δ	PROPN
ma-142	213	9	,	,	PUNCT
ma-142	213	10	|it	|it	X
ma-142	213	11	−	−	PROPN
ma-142	213	12	vh	vh	PROPN
ma-142	213	13	,	,	PUNCT
ma-142	213	14	θt	θt	PROPN
ma-142	214	1	|	|	ADV
ma-142	214	2	<	<	X
ma-142	214	3	1	1	NUM
ma-142	214	4	2vh	2vh	NOUN
ma-142	214	5	,	,	PUNCT
ma-142	214	6	θt	θt	ADJ
ma-142	214	7	)	)	PUNCT
ma-142	214	8	≤	≤	NOUN
ma-142	215	1	p	p	NOUN
ma-142	215	2	(	(	PUNCT
ma-142	215	3	|it	|it	PROPN
ma-142	215	4	−	−	PROPN
ma-142	215	5	vh	vh	PROPN
ma-142	215	6	,	,	PUNCT
ma-142	215	7	θt	θt	PROPN
ma-142	215	8	|	|	ADV
ma-142	215	9	≥	≥	NOUN
ma-142	215	10	1	1	NUM
ma-142	215	11	2vh	2vh	NOUN
ma-142	215	12	,	,	PUNCT
ma-142	215	13	θt	θt	ADJ
ma-142	215	14	)	)	PUNCT
ma-142	216	1	+	+	CCONJ
ma-142	216	2	p	p	X
ma-142	216	3	(	(	PUNCT
ma-142	216	4	|mt	|mt	PROPN
ma-142	216	5	|	|	ADV
ma-142	216	6	≥	≥	NOUN
ma-142	216	7	1	1	NUM
ma-142	216	8	2vh	2vh	ADJ
ma-142	216	9	,	,	PUNCT
ma-142	216	10	θtδ	θtδ	NOUN
ma-142	216	11	)	)	PUNCT
ma-142	216	12	.	.	PUNCT
ma-142	217	1	(	(	PUNCT
ma-142	217	2	2.4	2.4	X
ma-142	217	3	)	)	PUNCT
ma-142	217	4	combining	combine	VERB
ma-142	217	5	lemma	lemma	PROPN
ma-142	217	6	2.1	2.1	NUM
ma-142	217	7	and	and	CCONJ
ma-142	217	8	lemma	lemma	PROPN
ma-142	217	9	2.2	2.2	NUM
ma-142	217	10	,	,	PUNCT
ma-142	217	11	we	we	PRON
ma-142	217	12	obtain	obtain	VERB
ma-142	217	13	lemma	lemma	PROPN
ma-142	217	14	2.3	2.3	NUM
ma-142	217	15	for	for	ADP
ma-142	217	16	every	every	DET
ma-142	217	17	δ	δ	PROPN
ma-142	217	18	>	>	X
ma-142	217	19	0	0	PUNCT
ma-142	218	1	and	and	CCONJ
ma-142	218	2	large	large	ADJ
ma-142	218	3	t	t	PROPN
ma-142	218	4	>	>	X
ma-142	218	5	0	0	NUM
ma-142	218	6	,	,	PUNCT
ma-142	218	7	we	we	PRON
ma-142	218	8	have	have	VERB
ma-142	218	9	a	a	DET
ma-142	218	10	)	)	PUNCT
ma-142	218	11	p	p	NOUN
ma-142	218	12	(	(	PUNCT
ma-142	218	13	|θ̂t	|θ̂t	PROPN
ma-142	218	14	−	−	PROPN
ma-142	218	15	θ|	θ|	PROPN
ma-142	218	16	≥	≥	NUM
ma-142	218	17	δ	δ	NOUN
ma-142	218	18	)	)	PUNCT
ma-142	218	19	≤	≤	NOUN
ma-142	218	20	c0	c0	PROPN
ma-142	218	21	exp(−c1	exp(−c1	PROPN
ma-142	218	22	t	t	PROPN
ma-142	218	23	1/2δ	1/2δ	NUM
ma-142	218	24	)	)	PUNCT
ma-142	218	25	b	b	NOUN
ma-142	218	26	)	)	PUNCT
ma-142	218	27	p	p	NOUN
ma-142	218	28	(	(	PUNCT
ma-142	218	29	|θ̃t	|θ̃t	NOUN
ma-142	218	30	−	−	PROPN
ma-142	218	31	θ|	θ|	PROPN
ma-142	218	32	≥	≥	NUM
ma-142	218	33	δ	δ	NOUN
ma-142	218	34	)	)	PUNCT
ma-142	218	35	≤	≤	NOUN
ma-142	218	36	c0	c0	PROPN
ma-142	218	37	exp(−c1	exp(−c1	PROPN
ma-142	218	38	t	t	PROPN
ma-142	218	39	1/2δ1/2	1/2δ1/2	NUM
ma-142	218	40	)	)	PUNCT
ma-142	218	41	.	.	PUNCT
ma-142	219	1	to	to	PART
ma-142	219	2	obtain	obtain	VERB
ma-142	219	3	the	the	DET
ma-142	219	4	rate	rate	NOUN
ma-142	219	5	of	of	ADP
ma-142	219	6	normal	normal	ADJ
ma-142	219	7	approximation	approximation	NOUN
ma-142	219	8	for	for	ADP
ma-142	219	9	the	the	DET
ma-142	219	10	lse	lse	PROPN
ma-142	219	11	and	and	CCONJ
ma-142	219	12	the	the	DET
ma-142	219	13	qlse	qlse	NOUN
ma-142	219	14	,	,	PUNCT
ma-142	219	15	we	we	PRON
ma-142	219	16	need	need	VERB
ma-142	219	17	the	the	DET
ma-142	219	18	followingtail	followingtail	NOUN
ma-142	219	19	probability	probability	NOUN
ma-142	219	20	estimate	estimate	NOUN
ma-142	219	21	of	of	ADP
ma-142	219	22	the	the	DET
ma-142	219	23	estimators	estimator	NOUN
ma-142	219	24	.	.	PUNCT
ma-142	220	1	lemma	lemma	PROPN
ma-142	220	2	2.4	2.4	NUM
ma-142	220	3	(	(	PUNCT
ma-142	220	4	a	a	NOUN
ma-142	220	5	)	)	PUNCT
ma-142	220	6	p	p	NOUN
ma-142	220	7			PUNCT
ma-142	220	8	(	(	PUNCT
ma-142	220	9	t	t	PROPN
ma-142	220	10	−σ2h	−σ2h	PROPN
ma-142	220	11	θ̃t	θ̃t	PROPN
ma-142	220	12	)	)	PUNCT
ma-142	220	13	1/2	1/2	NUM
ma-142	220	14	|θ̂t	|θ̂t	X
ma-142	220	15	−	−	PROPN
ma-142	220	16	θ|	θ|	PROPN
ma-142	220	17	≥	≥	NOUN
ma-142	220	18	2(logt	2(logt	NUM
ma-142	220	19	)	)	PUNCT
ma-142	220	20	1/2	1/2	NUM
ma-142	220	21			NOUN
ma-142	220	22	≤	≤	NOUN
ma-142	220	23	ct−1/2	ct−1/2	PROPN
ma-142	220	24	.	.	PUNCT
ma-142	221	1	(	(	PUNCT
ma-142	221	2	b	b	X
ma-142	221	3	)	)	PUNCT
ma-142	221	4	p	p	NOUN
ma-142	221	5	2h	2h	PROPN
ma-142	221	6	(	(	PUNCT
ma-142	221	7	t	t	PROPN
ma-142	221	8	−σ2h	−σ2h	PROPN
ma-142	221	9	θ̃t	θ̃t	PROPN
ma-142	221	10	)	)	PUNCT
ma-142	221	11	1/2	1/2	NUM
ma-142	221	12	|θ̃t	|θ̃t	PROPN
ma-142	221	13	−	−	NOUN
ma-142	222	1	θ|	θ|	PROPN
ma-142	222	2	≥	≥	NOUN
ma-142	222	3	2(logt	2(logt	NUM
ma-142	222	4	)	)	PUNCT
ma-142	222	5	1/2	1/2	NUM
ma-142	222	6			NOUN
ma-142	222	7	≤	≤	NUM
ma-142	222	8	ct−1/4	ct−1/4	AUX
ma-142	222	9	.	.	PUNCT
ma-142	223	1	proof	proof	NOUN
ma-142	223	2	:	:	PUNCT
ma-142	223	3	observe	observe	VERB
ma-142	223	4	that	that	SCONJ
ma-142	223	5	p	p	PROPN
ma-142	223	6			PUNCT
ma-142	223	7	(	(	PUNCT
ma-142	223	8	t	t	PROPN
ma-142	223	9	−σ2h	−σ2h	PROPN
ma-142	223	10	θ̃t	θ̃t	PROPN
ma-142	223	11	)	)	PUNCT
ma-142	223	12	1/2	1/2	NUM
ma-142	223	13	|θ̂t	|θ̂t	X
ma-142	223	14	−	−	PROPN
ma-142	223	15	θ|	θ|	PROPN
ma-142	223	16	≥	≥	NOUN
ma-142	223	17	2(logt	2(logt	NUM
ma-142	223	18	)	)	PUNCT
ma-142	223	19	1/2	1/2	NUM
ma-142	223	20			NOUN
ma-142	223	21	=	=	PUNCT
ma-142	223	22	p	p	X
ma-142	223	23			PROPN
ma-142	223	24	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ma-142	223	25	(	(	PUNCT
ma-142	223	26	−σ2h	−σ2h	PROPN
ma-142	223	27	θ̃t	θ̃t	ADP
ma-142	223	28	t	t	PROPN
ma-142	223	29	)	)	PUNCT
ma-142	223	30	1/2	1/2	NUM
ma-142	223	31	mt	mt	PROPN
ma-142	223	32	(	(	PUNCT
ma-142	223	33	−σ2h	−σ2h	PROPN
ma-142	223	34	θ̃t	θ̃t	ADP
ma-142	223	35	t	t	NOUN
ma-142	223	36	)	)	PUNCT
ma-142	223	37	it	it	PRON
ma-142	223	38	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PUNCT
ma-142	223	39	≥	≥	NUM
ma-142	223	40	2(logt	2(logt	NUM
ma-142	223	41	)	)	PUNCT
ma-142	223	42	1/2	1/2	NUM
ma-142	223	43			ADJ
ma-142	223	44	≤	≤	PUNCT
ma-142	223	45	p	p	NOUN
ma-142	223	46			PUNCT
ma-142	223	47	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ma-142	223	48	(	(	PUNCT
ma-142	223	49	−σ2h	−σ2h	PROPN
ma-142	223	50	θ̃t	θ̃t	ADP
ma-142	223	51	t	t	PROPN
ma-142	223	52	)	)	PUNCT
ma-142	223	53	1/2	1/2	NUM
ma-142	223	54	mt	mt	PROPN
ma-142	223	55	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ma-142	223	56	≥	≥	PROPN
ma-142	223	57	(	(	PUNCT
ma-142	223	58	logt	logt	NOUN
ma-142	223	59	)	)	PUNCT
ma-142	223	60	1/2	1/2	NUM
ma-142	223	61	+	+	NOUN
ma-142	223	62	p	p	X
ma-142	223	63	{	{	PUNCT
ma-142	223	64	∣∣∣∣∣−σ2h	∣∣∣∣∣−σ2h	PROPN
ma-142	223	65	θ̃tt	θ̃tt	PROPN
ma-142	223	66	it	it	PRON
ma-142	223	67	∣∣∣∣∣	∣∣∣∣∣	ADP
ma-142	223	68	≤	≤	NUM
ma-142	223	69	1	1	NUM
ma-142	223	70	2	2	NUM
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ma-142	223	73	∣∣∣∣∣∣p	∣∣∣∣∣∣p	ADP
ma-142	223	74			PUNCT
ma-142	223	75	(	(	PUNCT
ma-142	223	76	−σ2h	−σ2h	PROPN
ma-142	223	77	θ̃t	θ̃t	ADP
ma-142	223	78	t	t	PROPN
ma-142	223	79	)	)	PUNCT
ma-142	223	80	1/2	1/2	NUM
ma-142	223	81	|mt	|mt	NUM
ma-142	223	82	|	|	ADV
ma-142	223	83	≥	≥	X
ma-142	223	84	(	(	PUNCT
ma-142	223	85	logt	logt	NOUN
ma-142	223	86	)	)	PUNCT
ma-142	223	87	1/2	1/2	NUM
ma-142	223	88	−	−	PROPN
ma-142	223	89	2φ(−(logt	2φ(−(logt	NUM
ma-142	223	90	)	)	PUNCT
ma-142	223	91	1/2	1/2	NUM
ma-142	223	92	)	)	PUNCT
ma-142	223	93	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	223	94	+2φ(−(logt	+2φ(−(logt	NOUN
ma-142	223	95	)	)	PUNCT
ma-142	223	96	1/2	1/2	NUM
ma-142	223	97	)	)	PUNCT
ma-142	224	1	+	+	CCONJ
ma-142	224	2	p	p	X
ma-142	224	3	{	{	PUNCT
ma-142	224	4	∣∣∣∣∣σ2h	∣∣∣∣∣σ2h	ADJ
ma-142	224	5	θ̃tt	θ̃tt	PROPN
ma-142	224	6	it	it	PRON
ma-142	224	7	−	−	ADP
ma-142	224	8	1	1	NUM
ma-142	224	9	∣∣∣∣∣	∣∣∣∣∣	NOUN
ma-142	224	10	≥	≥	NOUN
ma-142	224	11	1	1	NUM
ma-142	224	12	2	2	NUM
ma-142	224	13	}	}	PUNCT
ma-142	224	14	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	224	15	eur	eur	PROPN
ma-142	224	16	.	.	PUNCT
ma-142	225	1	j.	j.	PROPN
ma-142	225	2	math	math	PROPN
ma-142	225	3	.	.	PUNCT
ma-142	226	1	anal	anal	PROPN
ma-142	226	2	.	.	PUNCT
ma-142	227	1	10.28924	10.28924	NUM
ma-142	227	2	/	/	SYM
ma-142	227	3	ada	ada	NOUN
ma-142	227	4	/	/	SYM
ma-142	227	5	ma.3.14	ma.3.14	NOUN
ma-142	227	6	10	10	NUM
ma-142	227	7	≤	≤	NUM
ma-142	227	8	sup	sup	NOUN
ma-142	227	9	x∈r	x∈r	PROPN
ma-142	227	10	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	227	11			PUNCT
ma-142	227	12	(	(	PUNCT
ma-142	227	13	−σ2h	−σ2h	PROPN
ma-142	227	14	θ̃t	θ̃t	ADP
ma-142	227	15	t	t	PROPN
ma-142	227	16	)	)	PUNCT
ma-142	227	17	1/2	1/2	NUM
ma-142	227	18	|mt	|mt	NUM
ma-142	227	19	|	|	ADV
ma-142	227	20	≥	≥	NOUN
ma-142	227	21	x	x	PROPN
ma-142	227	22	−	−	PROPN
ma-142	227	23	2φ(−x	2φ(−x	NUM
ma-142	227	24	)	)	PUNCT
ma-142	227	25	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	227	26	+2φ(−(logt	+2φ(−(logt	NOUN
ma-142	227	27	)	)	PUNCT
ma-142	227	28	1/2	1/2	NUM
ma-142	227	29	)	)	PUNCT
ma-142	228	1	+	+	CCONJ
ma-142	228	2	p	p	X
ma-142	228	3	{	{	PUNCT
ma-142	228	4	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-142	228	5	(	(	PUNCT
ma-142	228	6	−σ2h	−σ2h	PROPN
ma-142	228	7	θ̃t	θ̃t	ADP
ma-142	228	8	t	t	PROPN
ma-142	228	9	)	)	PUNCT
ma-142	228	10	it	it	PRON
ma-142	228	11	−	−	ADP
ma-142	228	12	1	1	NUM
ma-142	228	13	∣∣∣∣∣	∣∣∣∣∣	NOUN
ma-142	228	14	≥	≥	NOUN
ma-142	228	15	1	1	NUM
ma-142	228	16	2	2	NUM
ma-142	228	17	}	}	PUNCT
ma-142	228	18	≤	≤	NOUN
ma-142	228	19	ct−1/2	ct−1/2	PROPN
ma-142	228	20	+	+	CCONJ
ma-142	228	21	c(t	c(t	PROPN
ma-142	228	22	logt	logt	NOUN
ma-142	228	23	)	)	PUNCT
ma-142	228	24	−1/2	−1/2	VERB
ma-142	229	1	+	+	CCONJ
ma-142	229	2	c	c	NOUN
ma-142	229	3	exp	exp	NOUN
ma-142	229	4	(	(	PUNCT
ma-142	229	5	−	−	PROPN
ma-142	229	6	t	t	PROPN
ma-142	229	7	1/2	1/2	NUM
ma-142	229	8	8c	8c	NUM
ma-142	229	9	1/2	1/2	NUM
ma-142	229	10	h	h	NOUN
ma-142	229	11	,	,	PUNCT
ma-142	229	12	θ	θ	NOUN
ma-142	229	13	)	)	PUNCT
ma-142	229	14	≤	≤	PUNCT
ma-142	229	15	ct−1/2.the	ct−1/2.the	DET
ma-142	229	16	bounds	bound	NOUN
ma-142	229	17	for	for	ADP
ma-142	229	18	the	the	DET
ma-142	229	19	first	first	ADJ
ma-142	229	20	and	and	CCONJ
ma-142	229	21	the	the	DET
ma-142	229	22	third	third	ADJ
ma-142	229	23	terms	term	NOUN
ma-142	229	24	come	come	VERB
ma-142	229	25	from	from	ADP
ma-142	229	26	lemma	lemma	PROPN
ma-142	229	27	2.2	2.2	NUM
ma-142	229	28	and	and	CCONJ
ma-142	229	29	lemma	lemma	PROPN
ma-142	229	30	2.1	2.1	NUM
ma-142	229	31	respectively	respectively	ADV
ma-142	229	32	andthat	andthat	NOUN
ma-142	229	33	for	for	ADP
ma-142	229	34	the	the	DET
ma-142	229	35	middle	middle	ADJ
ma-142	229	36	term	term	NOUN
ma-142	229	37	comes	come	VERB
ma-142	229	38	from	from	ADP
ma-142	229	39	feller	feller	NOUN
ma-142	229	40	[	[	X
ma-142	229	41	8	8	NUM
ma-142	229	42	]	]	PUNCT
ma-142	229	43	(	(	PUNCT
ma-142	229	44	p.	p.	NOUN
ma-142	229	45	166	166	NUM
ma-142	229	46	)	)	PUNCT
ma-142	229	47	.	.	PUNCT
ma-142	230	1	proof	proof	NOUN
ma-142	230	2	of	of	ADP
ma-142	230	3	(	(	PUNCT
ma-142	230	4	b	b	NOUN
ma-142	230	5	)	)	PUNCT
ma-142	230	6	is	be	AUX
ma-142	230	7	similar	similar	ADJ
ma-142	230	8	.	.	PUNCT
ma-142	231	1	now	now	ADV
ma-142	231	2	we	we	PRON
ma-142	231	3	are	be	AUX
ma-142	231	4	ready	ready	ADJ
ma-142	231	5	to	to	PART
ma-142	231	6	obtain	obtain	VERB
ma-142	231	7	the	the	DET
ma-142	231	8	uniform	uniform	ADJ
ma-142	231	9	rate	rate	NOUN
ma-142	231	10	of	of	ADP
ma-142	231	11	normal	normal	ADJ
ma-142	231	12	approximation	approximation	NOUN
ma-142	231	13	of	of	ADP
ma-142	231	14	the	the	DET
ma-142	231	15	distribution	distribution	NOUN
ma-142	231	16	of	of	ADP
ma-142	231	17	thelse	thelse	NOUN
ma-142	231	18	and	and	CCONJ
ma-142	231	19	the	the	DET
ma-142	231	20	qlse.recall	qlse.recall	NOUN
ma-142	231	21	that	that	PRON
ma-142	231	22	σ2h	σ2h	PROPN
ma-142	231	23	:	:	PUNCT
ma-142	231	24	=	=	SYM
ma-142	231	25	(	(	PUNCT
ma-142	231	26	4h	4h	NOUN
ma-142	231	27	−	−	NOUN
ma-142	231	28	1	1	NUM
ma-142	231	29	)	)	PUNCT
ma-142	231	30	(	(	PUNCT
ma-142	231	31	1	1	NUM
ma-142	232	1	+	+	CCONJ
ma-142	232	2	γ(3−	γ(3−	ADP
ma-142	232	3	4h)γ(4h	4h)γ(4h	NUM
ma-142	232	4	−	−	NOUN
ma-142	232	5	1	1	X
ma-142	232	6	)	)	PUNCT
ma-142	232	7	γ(2−	γ(2−	NOUN
ma-142	232	8	2h)γ(2h	2h)γ(2h	NUM
ma-142	232	9	)	)	PUNCT
ma-142	232	10	)	)	PUNCT
ma-142	232	11	.	.	PUNCT
ma-142	233	1	(	(	PUNCT
ma-142	233	2	2.5	2.5	NUM
ma-142	233	3	)	)	PUNCT
ma-142	233	4	theorem	theorem	NOUN
ma-142	233	5	2.5a	2.5a	NUM
ma-142	233	6	)	)	PUNCT
ma-142	233	7	if	if	SCONJ
ma-142	233	8	12	12	NUM
ma-142	233	9	≤	≤	NUM
ma-142	233	10	h	h	NOUN
ma-142	233	11	≤	≤	NUM
ma-142	233	12	5	5	NUM
ma-142	233	13	8	8	NUM
ma-142	233	14	sup	sup	NOUN
ma-142	233	15	x∈r	x∈r	PROPN
ma-142	233	16	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	233	17			PUNCT
ma-142	233	18	(	(	PUNCT
ma-142	233	19	t	t	PROPN
ma-142	233	20	−σ2h	−σ2h	PROPN
ma-142	233	21	θ̃t	θ̃t	PROPN
ma-142	233	22	)	)	PUNCT
ma-142	233	23	1/2	1/2	NUM
ma-142	233	24	(	(	PUNCT
ma-142	233	25	θ̂t	θ̂t	X
ma-142	233	26	−	−	PROPN
ma-142	233	27	θ	θ	PROPN
ma-142	233	28	)	)	PUNCT
ma-142	233	29	≤	≤	NOUN
ma-142	233	30	x	x	PUNCT
ma-142	233	31	−φ(x	−φ(x	NOUN
ma-142	233	32	)	)	PUNCT
ma-142	233	33	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	233	34	≤	≤	PROPN
ma-142	233	35	ct−1/2	ct−1/2	PROPN
ma-142	233	36	.	.	PUNCT
ma-142	234	1	b	b	X
ma-142	234	2	)	)	PUNCT
ma-142	234	3	if	if	SCONJ
ma-142	234	4	58	58	NUM
ma-142	234	5	<	<	X
ma-142	234	6	h	h	NOUN
ma-142	234	7	<	<	X
ma-142	234	8	3	3	NUM
ma-142	234	9	4	4	NUM
ma-142	234	10	sup	sup	NOUN
ma-142	234	11	x∈r	x∈r	PROPN
ma-142	234	12	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	234	13			PUNCT
ma-142	234	14	(	(	PUNCT
ma-142	234	15	t	t	PROPN
ma-142	234	16	−σ2h	−σ2h	PROPN
ma-142	234	17	θ̃t	θ̃t	PROPN
ma-142	234	18	)	)	PUNCT
ma-142	234	19	1/2	1/2	NUM
ma-142	234	20	(	(	PUNCT
ma-142	234	21	θ̂t	θ̂t	X
ma-142	234	22	−	−	PROPN
ma-142	234	23	θ	θ	PROPN
ma-142	234	24	)	)	PUNCT
ma-142	234	25	≤	≤	NOUN
ma-142	234	26	x	x	PUNCT
ma-142	234	27	−φ(x	−φ(x	NOUN
ma-142	234	28	)	)	PUNCT
ma-142	234	29	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	234	30	≤	≤	PROPN
ma-142	234	31	ct	ct	NUM
ma-142	234	32	4h−3	4h−3	NUM
ma-142	234	33	.	.	PUNCT
ma-142	235	1	c	c	X
ma-142	235	2	)	)	PUNCT
ma-142	235	3	if	if	SCONJ
ma-142	235	4	12	12	NUM
ma-142	235	5	≤	≤	NUM
ma-142	235	6	h	h	NOUN
ma-142	235	7	≤	≤	NOUN
ma-142	235	8	11	11	NUM
ma-142	235	9	16	16	NUM
ma-142	235	10	sup	sup	NOUN
ma-142	235	11	x∈r	x∈r	PROPN
ma-142	235	12	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	236	1	2h	2h	PROPN
ma-142	236	2	(	(	PUNCT
ma-142	236	3	t	t	PROPN
ma-142	236	4	−σ2h	−σ2h	PROPN
ma-142	236	5	θ̃t	θ̃t	PROPN
ma-142	236	6	)	)	PUNCT
ma-142	236	7	1/2	1/2	NUM
ma-142	236	8	(	(	PUNCT
ma-142	236	9	θ̃t	θ̃t	X
ma-142	236	10	−	−	NUM
ma-142	236	11	θ	θ	NOUN
ma-142	236	12	)	)	PUNCT
ma-142	236	13	≤	≤	NOUN
ma-142	236	14	x	x	PUNCT
ma-142	236	15	−φ(x	−φ(x	NOUN
ma-142	236	16	)	)	PUNCT
ma-142	236	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	236	18	≤	≤	ADV
ma-142	236	19	ct−1/4	ct−1/4	PROPN
ma-142	236	20	.	.	PUNCT
ma-142	237	1	d	d	X
ma-142	237	2	)	)	PUNCT
ma-142	237	3	if	if	SCONJ
ma-142	237	4	1116	1116	NUM
ma-142	237	5	<	<	X
ma-142	237	6	h	h	X
ma-142	237	7	<	<	X
ma-142	237	8	3	3	NUM
ma-142	237	9	4	4	NUM
ma-142	237	10	sup	sup	NOUN
ma-142	237	11	x∈r	x∈r	PROPN
ma-142	237	12	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	238	1	2h	2h	PROPN
ma-142	238	2	(	(	PUNCT
ma-142	238	3	t	t	PROPN
ma-142	238	4	−σ2h	−σ2h	PROPN
ma-142	238	5	θ̃t	θ̃t	PROPN
ma-142	238	6	)	)	PUNCT
ma-142	238	7	1/2	1/2	NUM
ma-142	238	8	(	(	PUNCT
ma-142	238	9	θ̃t	θ̃t	X
ma-142	238	10	−	−	NUM
ma-142	238	11	θ	θ	NOUN
ma-142	238	12	)	)	PUNCT
ma-142	238	13	≤	≤	NOUN
ma-142	238	14	x	x	PUNCT
ma-142	238	15	−φ(x	−φ(x	NOUN
ma-142	238	16	)	)	PUNCT
ma-142	238	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	238	18	≤	≤	PROPN
ma-142	238	19	ct	ct	NUM
ma-142	238	20	4h−3	4h−3	NUM
ma-142	238	21	.	.	PUNCT
ma-142	239	1	proof	proof	NOUN
ma-142	239	2	:	:	PUNCT
ma-142	239	3	first	first	ADV
ma-142	239	4	we	we	PRON
ma-142	239	5	prove	prove	VERB
ma-142	239	6	(	(	PUNCT
ma-142	239	7	a	a	NOUN
ma-142	239	8	)	)	PUNCT
ma-142	239	9	.	.	PUNCT
ma-142	240	1	we	we	PRON
ma-142	240	2	shall	shall	AUX
ma-142	240	3	consider	consider	VERB
ma-142	240	4	two	two	NUM
ma-142	240	5	possibilities	possibility	NOUN
ma-142	240	6	(	(	PUNCT
ma-142	240	7	i	i	NOUN
ma-142	240	8	)	)	PUNCT
ma-142	240	9	and	and	CCONJ
ma-142	240	10	(	(	PUNCT
ma-142	240	11	ii	ii	NOUN
ma-142	240	12	)	)	PUNCT
ma-142	240	13	.	.	PUNCT
ma-142	241	1	(	(	PUNCT
ma-142	241	2	i	i	NOUN
ma-142	241	3	)	)	PUNCT
ma-142	241	4	|x	|x	NOUN
ma-142	242	1	|	|	ADV
ma-142	242	2	>	>	X
ma-142	242	3	2(logt	2(logt	NUM
ma-142	242	4	)	)	PUNCT
ma-142	242	5	1/2	1/2	NUM
ma-142	242	6	.	.	PUNCT
ma-142	243	1	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	243	2	eur	eur	PROPN
ma-142	243	3	.	.	PUNCT
ma-142	244	1	j.	j.	PROPN
ma-142	244	2	math	math	PROPN
ma-142	244	3	.	.	PUNCT
ma-142	245	1	anal	anal	PROPN
ma-142	245	2	.	.	PUNCT
ma-142	246	1	10.28924	10.28924	NUM
ma-142	246	2	/	/	SYM
ma-142	246	3	ada	ada	NOUN
ma-142	246	4	/	/	SYM
ma-142	246	5	ma.3.14	ma.3.14	NOUN
ma-142	246	6	11we	11we	NOUN
ma-142	246	7	shall	shall	AUX
ma-142	246	8	give	give	VERB
ma-142	246	9	a	a	DET
ma-142	246	10	proof	proof	NOUN
ma-142	246	11	for	for	ADP
ma-142	246	12	the	the	DET
ma-142	246	13	case	case	NOUN
ma-142	246	14	x	x	PUNCT
ma-142	246	15	>	>	X
ma-142	246	16	2(logt	2(logt	NUM
ma-142	246	17	)	)	PUNCT
ma-142	246	18	1/2	1/2	NUM
ma-142	246	19	.	.	PUNCT
ma-142	247	1	the	the	DET
ma-142	247	2	proof	proof	NOUN
ma-142	247	3	for	for	ADP
ma-142	247	4	the	the	DET
ma-142	247	5	case	case	NOUN
ma-142	247	6	x	x	X
ma-142	247	7	<	<	X
ma-142	247	8	−2(logt	−2(logt	PROPN
ma-142	247	9	)	)	PUNCT
ma-142	247	10	1/2	1/2	NUM
ma-142	247	11	runssimilarly	runssimilarly	ADV
ma-142	247	12	.	.	PUNCT
ma-142	248	1	note	note	VERB
ma-142	248	2	that∣∣∣∣∣∣p	that∣∣∣∣∣∣p	NOUN
ma-142	249	1			PUNCT
ma-142	249	2	(	(	PUNCT
ma-142	249	3	t	t	PROPN
ma-142	249	4	−σ2h	−σ2h	PROPN
ma-142	249	5	θ̃t	θ̃t	PROPN
ma-142	249	6	)	)	PUNCT
ma-142	249	7	1/2	1/2	NUM
ma-142	249	8	(	(	PUNCT
ma-142	249	9	θ̂t	θ̂t	X
ma-142	249	10	−	−	PROPN
ma-142	249	11	θ	θ	PROPN
ma-142	249	12	)	)	PUNCT
ma-142	249	13	≤	≤	NOUN
ma-142	249	14	x	x	PUNCT
ma-142	249	15	−φ(x	−φ(x	NOUN
ma-142	249	16	)	)	PUNCT
ma-142	249	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	249	18	≤	≤	ADJ
ma-142	249	19	p	p	NOUN
ma-142	249	20			PUNCT
ma-142	249	21	(	(	PUNCT
ma-142	249	22	t	t	PROPN
ma-142	249	23	−σ2h	−σ2h	PROPN
ma-142	249	24	θ̃t	θ̃t	PROPN
ma-142	249	25	)	)	PUNCT
ma-142	249	26	1/2	1/2	NUM
ma-142	249	27	(	(	PUNCT
ma-142	249	28	θ̂t	θ̂t	X
ma-142	249	29	−	−	PROPN
ma-142	249	30	θ	θ	PROPN
ma-142	249	31	)	)	PUNCT
ma-142	249	32	≥	≥	NOUN
ma-142	249	33	x	x	SYM
ma-142	249	34	+φ(−x	+φ(−x	NUM
ma-142	249	35	)	)	PUNCT
ma-142	249	36	.	.	PUNCT
ma-142	250	1	(	(	PUNCT
ma-142	250	2	2.6	2.6	NUM
ma-142	250	3	)	)	PUNCT
ma-142	250	4	but	but	CCONJ
ma-142	250	5	from	from	ADP
ma-142	250	6	feller	feller	NOUN
ma-142	250	7	[	[	X
ma-142	250	8	8	8	NUM
ma-142	250	9	]	]	PUNCT
ma-142	250	10	(	(	PUNCT
ma-142	250	11	p.	p.	NOUN
ma-142	250	12	166	166	NUM
ma-142	250	13	)	)	PUNCT
ma-142	250	14	we	we	PRON
ma-142	250	15	have	have	VERB
ma-142	250	16	φ(−x	φ(−x	NOUN
ma-142	250	17	)	)	PUNCT
ma-142	250	18	≤	≤	NUM
ma-142	250	19	φ(−2(logt	φ(−2(logt	NUM
ma-142	250	20	)	)	PUNCT
ma-142	250	21	1/2	1/2	NUM
ma-142	250	22	)	)	PUNCT
ma-142	250	23	≤	≤	NUM
ma-142	250	24	ct−1	ct−1	PROPN
ma-142	250	25	.	.	PUNCT
ma-142	251	1	(	(	PUNCT
ma-142	251	2	2.7	2.7	NUM
ma-142	251	3	)	)	PUNCT
ma-142	251	4	moreover	moreover	ADV
ma-142	251	5	,	,	PUNCT
ma-142	251	6	by	by	ADP
ma-142	251	7	lemma	lemma	PROPN
ma-142	251	8	2.4	2.4	NUM
ma-142	251	9	(	(	PUNCT
ma-142	251	10	a	a	NOUN
ma-142	251	11	)	)	PUNCT
ma-142	251	12	,	,	PUNCT
ma-142	251	13	we	we	PRON
ma-142	251	14	have	have	VERB
ma-142	251	15	p	p	NOUN
ma-142	251	16			PUNCT
ma-142	251	17	(	(	PUNCT
ma-142	251	18	t	t	PROPN
ma-142	251	19	−σ2h	−σ2h	PROPN
ma-142	251	20	θ̃t	θ̃t	PROPN
ma-142	251	21	)	)	PUNCT
ma-142	251	22	1/2	1/2	NUM
ma-142	251	23	(	(	PUNCT
ma-142	251	24	θ̂t	θ̂t	X
ma-142	251	25	−	−	PROPN
ma-142	251	26	θ	θ	PROPN
ma-142	251	27	)	)	PUNCT
ma-142	251	28	≥	≥	NOUN
ma-142	251	29	2(logt	2(logt	NUM
ma-142	251	30	)	)	PUNCT
ma-142	251	31	1/2	1/2	NUM
ma-142	251	32			NOUN
ma-142	251	33	≤	≤	NOUN
ma-142	251	34	ct−1/2	ct−1/2	PROPN
ma-142	251	35	.	.	PUNCT
ma-142	252	1	(	(	PUNCT
ma-142	252	2	2.8	2.8	NUM
ma-142	252	3	)	)	PUNCT
ma-142	252	4	hence	hence	ADV
ma-142	252	5	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	252	6			PUNCT
ma-142	252	7	(	(	PUNCT
ma-142	252	8	t	t	PROPN
ma-142	252	9	−σ2h	−σ2h	PROPN
ma-142	252	10	θ̃t	θ̃t	PROPN
ma-142	252	11	)	)	PUNCT
ma-142	252	12	1/2	1/2	NUM
ma-142	252	13	(	(	PUNCT
ma-142	252	14	θ̂t	θ̂t	X
ma-142	252	15	−	−	PROPN
ma-142	252	16	θ	θ	PROPN
ma-142	252	17	)	)	PUNCT
ma-142	252	18	≤	≤	NOUN
ma-142	252	19	x	x	PUNCT
ma-142	252	20	−φ(x	−φ(x	NOUN
ma-142	252	21	)	)	PUNCT
ma-142	252	22	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	252	23	≤	≤	PROPN
ma-142	252	24	ct−1/2	ct−1/2	PROPN
ma-142	252	25	.	.	PUNCT
ma-142	253	1	(	(	PUNCT
ma-142	253	2	2.9	2.9	NUM
ma-142	253	3	)	)	PUNCT
ma-142	253	4	(	(	PUNCT
ma-142	253	5	ii	ii	NOUN
ma-142	253	6	)	)	PUNCT
ma-142	253	7	|x	|x	NOUN
ma-142	253	8	|	|	ADV
ma-142	253	9	≤	≤	NUM
ma-142	253	10	2(logt	2(logt	NUM
ma-142	253	11	)	)	PUNCT
ma-142	253	12	1/2	1/2	NUM
ma-142	253	13	.	.	PUNCT
ma-142	254	1	let	let	VERB
ma-142	254	2	at	at	ADP
ma-142	254	3	:	:	PUNCT
ma-142	254	4	=	=	PUNCT
ma-142	254	5			PUNCT
ma-142	254	6	(	(	PUNCT
ma-142	254	7	t	t	PROPN
ma-142	254	8	−σ2h	−σ2h	PROPN
ma-142	254	9	θ̃t	θ̃t	PROPN
ma-142	254	10	)	)	PUNCT
ma-142	254	11	1/2	1/2	NUM
ma-142	254	12	|θ̂t	|θ̂t	X
ma-142	254	13	−	−	PROPN
ma-142	254	14	θ|	θ|	PROPN
ma-142	254	15	≤	≤	NUM
ma-142	254	16	2(logt	2(logt	NUM
ma-142	254	17	)	)	PUNCT
ma-142	254	18	1/2	1/2	NUM
ma-142	254	19			NOUN
ma-142	254	20	and	and	CCONJ
ma-142	254	21	bt	bt	PRON
ma-142	254	22	:	:	PUNCT
ma-142	254	23	=	=	SYM
ma-142	254	24	{	{	PUNCT
ma-142	254	25	it	it	PRON
ma-142	254	26	t	t	X
ma-142	254	27	>	>	X
ma-142	254	28	c0	c0	PROPN
ma-142	254	29	}	}	PUNCT
ma-142	254	30	(	(	PUNCT
ma-142	254	31	2.10	2.10	NUM
ma-142	254	32	)	)	PUNCT
ma-142	254	33	where	where	SCONJ
ma-142	254	34	0	0	NUM
ma-142	254	35	<	<	X
ma-142	254	36	c0	c0	X
ma-142	254	37	<	<	X
ma-142	254	38	1	1	NUM
ma-142	254	39	−σ2hθ	−σ2hθ	NUM
ma-142	254	40	.	.	PUNCT
ma-142	255	1	by	by	ADP
ma-142	255	2	lemma	lemma	PROPN
ma-142	255	3	2.4	2.4	NUM
ma-142	255	4	,	,	PUNCT
ma-142	255	5	we	we	PRON
ma-142	255	6	have	have	VERB
ma-142	255	7	p	p	NOUN
ma-142	255	8	(	(	PUNCT
ma-142	255	9	act	act	PROPN
ma-142	255	10	)	)	PUNCT
ma-142	255	11	≤	≤	NOUN
ma-142	256	1	ct−1/2	ct−1/2	PROPN
ma-142	256	2	.	.	PUNCT
ma-142	257	1	(	(	PUNCT
ma-142	257	2	2.11	2.11	NUM
ma-142	257	3	)	)	PUNCT
ma-142	257	4	by	by	ADP
ma-142	257	5	lemma	lemma	PROPN
ma-142	257	6	2.1	2.1	NUM
ma-142	257	7	,	,	PUNCT
ma-142	257	8	we	we	PRON
ma-142	257	9	have	have	VERB
ma-142	257	10	p	p	NOUN
ma-142	257	11	(	(	PUNCT
ma-142	257	12	bct	bct	NOUN
ma-142	257	13	)	)	PUNCT
ma-142	257	14	=	=	SYM
ma-142	258	1	p	p	X
ma-142	258	2	{	{	PUNCT
ma-142	258	3	(	(	PUNCT
ma-142	258	4	−σ2h	−σ2h	PROPN
ma-142	258	5	θ̃t	θ̃t	ADP
ma-142	258	6	t	t	PROPN
ma-142	258	7	)	)	PUNCT
ma-142	258	8	it	it	PRON
ma-142	258	9	−	−	NOUN
ma-142	258	10	1	1	NUM
ma-142	258	11	<	<	X
ma-142	258	12	σ2hθc0	σ2hθc0	ADP
ma-142	258	13	−	−	NOUN
ma-142	258	14	1	1	NUM
ma-142	258	15	}	}	PUNCT
ma-142	258	16	<	<	X
ma-142	258	17	p	p	X
ma-142	258	18	{	{	PUNCT
ma-142	258	19	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-142	258	20	(	(	PUNCT
ma-142	258	21	−σ2h	−σ2h	PROPN
ma-142	258	22	θ̃t	θ̃t	ADP
ma-142	258	23	t	t	PROPN
ma-142	258	24	)	)	PUNCT
ma-142	258	25	it	it	PRON
ma-142	258	26	−	−	ADP
ma-142	258	27	1	1	NUM
ma-142	258	28	∣∣∣∣∣	∣∣∣∣∣	ADP
ma-142	258	29	>	>	X
ma-142	258	30	1−	1−	NUM
ma-142	258	31	σ2hθc0	σ2hθc0	NOUN
ma-142	258	32	}	}	PUNCT
ma-142	258	33	≤	≤	NUM
ma-142	258	34	c	c	NOUN
ma-142	258	35	exp	exp	NOUN
ma-142	258	36	(	(	PUNCT
ma-142	258	37	−	−	PROPN
ma-142	258	38	t	t	NOUN
ma-142	258	39	1/2(1−	1/2(1−	NUM
ma-142	258	40	σ2hθc0	σ2hθc0	NOUN
ma-142	258	41	)	)	PUNCT
ma-142	258	42	4c	4c	NUM
ma-142	258	43	1/2	1/2	NUM
ma-142	258	44	h	h	NOUN
ma-142	258	45	,	,	PUNCT
ma-142	258	46	θ	θ	PROPN
ma-142	258	47	)	)	PUNCT
ma-142	258	48	.	.	PUNCT
ma-142	259	1	(	(	PUNCT
ma-142	259	2	2.12	2.12	NUM
ma-142	259	3	)	)	PUNCT
ma-142	259	4	let	let	VERB
ma-142	259	5	b0	b0	NOUN
ma-142	259	6	be	be	AUX
ma-142	259	7	some	some	DET
ma-142	259	8	positive	positive	ADJ
ma-142	259	9	number	number	NOUN
ma-142	259	10	.	.	PUNCT
ma-142	260	1	on	on	ADP
ma-142	260	2	the	the	DET
ma-142	260	3	set	set	NOUN
ma-142	260	4	at∩bt	at∩bt	PROPN
ma-142	260	5	for	for	ADP
ma-142	260	6	all	all	DET
ma-142	260	7	t	t	PROPN
ma-142	260	8	>	>	X
ma-142	260	9	t0	t0	PROPN
ma-142	260	10	with	with	ADP
ma-142	260	11	4b0(logt0	4b0(logt0	PROPN
ma-142	260	12	)	)	PUNCT
ma-142	260	13	1/2	1/2	NUM
ma-142	260	14	(	(	PUNCT
ma-142	260	15	σ2hθ	σ2hθ	X
ma-142	260	16	t	t	PROPN
ma-142	260	17	)	)	PUNCT
ma-142	260	18	1/2	1/2	NUM
ma-142	260	19	≤	≤	NUM
ma-142	260	20	c0	c0	NOUN
ma-142	260	21	,	,	PUNCT
ma-142	260	22	we	we	PRON
ma-142	260	23	have	have	AUX
ma-142	260	24	(	(	PUNCT
ma-142	260	25	t	t	PROPN
ma-142	260	26	−σ2h	−σ2h	PROPN
ma-142	260	27	θ̃t	θ̃t	PROPN
ma-142	260	28	)	)	PUNCT
ma-142	260	29	1/2	1/2	NUM
ma-142	260	30	(	(	PUNCT
ma-142	260	31	θ̂t	θ̂t	X
ma-142	260	32	−	−	PROPN
ma-142	260	33	θ	θ	PROPN
ma-142	260	34	)	)	PUNCT
ma-142	260	35	≤	≤	NOUN
ma-142	260	36	x	x	PUNCT
ma-142	260	37	⇒	⇒	VERB
ma-142	260	38	it	it	PRON
ma-142	260	39	+	+	CCONJ
ma-142	260	40	b0	b0	PROPN
ma-142	260	41	t	t	PROPN
ma-142	260	42	(	(	PUNCT
ma-142	260	43	θ̂t	θ̂t	X
ma-142	260	44	−	−	PROPN
ma-142	260	45	θ	θ	PROPN
ma-142	260	46	)	)	PUNCT
ma-142	260	47	<	<	X
ma-142	261	1	it	it	PRON
ma-142	261	2	+	+	CCONJ
ma-142	261	3	(	(	PUNCT
ma-142	261	4	t	t	PROPN
ma-142	261	5	−σ2h	−σ2h	PROPN
ma-142	261	6	θ̃t	θ̃t	PROPN
ma-142	261	7	)	)	PUNCT
ma-142	261	8	1/2	1/2	NUM
ma-142	261	9	σ2hb0θx	σ2hb0θx	PROPN
ma-142	261	10	⇒	⇒	NOUN
ma-142	261	11	(	(	PUNCT
ma-142	261	12	t	t	PROPN
ma-142	261	13	−σ2h	−σ2h	PROPN
ma-142	261	14	θ̃t	θ̃t	PROPN
ma-142	261	15	)	)	PUNCT
ma-142	261	16	1/2	1/2	NUM
ma-142	261	17	(	(	PUNCT
ma-142	261	18	θ̂t	θ̂t	X
ma-142	261	19	−	−	PROPN
ma-142	261	20	θ)[it	θ)[it	PROPN
ma-142	261	21	+	+	NUM
ma-142	261	22	b0	b0	PROPN
ma-142	261	23	t	t	PROPN
ma-142	261	24	(	(	PUNCT
ma-142	261	25	θt	θt	PROPN
ma-142	261	26	−	−	PROPN
ma-142	261	27	θ	θ	PROPN
ma-142	261	28	)	)	PUNCT
ma-142	261	29	]	]	PUNCT
ma-142	262	1	<	<	X
ma-142	262	2	x	x	PUNCT
ma-142	263	1	[	[	X
ma-142	263	2	it	it	PRON
ma-142	263	3	+	+	CCONJ
ma-142	263	4	(	(	PUNCT
ma-142	263	5	t	t	PROPN
ma-142	263	6	−σ2h	−σ2h	PROPN
ma-142	263	7	θ̃t	θ̃t	PROPN
ma-142	263	8	)	)	PUNCT
ma-142	263	9	1/2	1/2	NUM
ma-142	263	10	σ2hb0θx	σ2hb0θx	PROPN
ma-142	263	11	]	]	PUNCT
ma-142	263	12	⇒	⇒	NOUN
ma-142	263	13	(	(	PUNCT
ma-142	263	14	θ̂t	θ̂t	X
ma-142	263	15	−	−	PROPN
ma-142	263	16	θ)it	θ)it	PROPN
ma-142	263	17	+	+	SYM
ma-142	263	18	b0	b0	PROPN
ma-142	263	19	t	t	PROPN
ma-142	263	20	(	(	PUNCT
ma-142	263	21	θt	θt	PROPN
ma-142	263	22	−	−	PROPN
ma-142	263	23	θ)2	θ)2	NOUN
ma-142	263	24	<	<	X
ma-142	263	25	(	(	PUNCT
ma-142	263	26	−σ2h	−σ2h	PROPN
ma-142	263	27	θ̃t	θ̃t	ADP
ma-142	263	28	t	t	PROPN
ma-142	263	29	)	)	PUNCT
ma-142	263	30	1/2	1/2	NUM
ma-142	263	31	it	it	PRON
ma-142	263	32	x	x	SYM
ma-142	264	1	+	+	CCONJ
ma-142	264	2	σ2hb0θx	σ2hb0θx	PROPN
ma-142	264	3	2	2	NUM
ma-142	264	4	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	264	5	eur	eur	PROPN
ma-142	264	6	.	.	PUNCT
ma-142	265	1	j.	j.	PROPN
ma-142	265	2	math	math	PROPN
ma-142	265	3	.	.	PUNCT
ma-142	266	1	anal	anal	PROPN
ma-142	266	2	.	.	PUNCT
ma-142	267	1	10.28924	10.28924	NUM
ma-142	267	2	/	/	SYM
ma-142	267	3	ada	ada	NOUN
ma-142	267	4	/	/	SYM
ma-142	267	5	ma.3.14	ma.3.14	NOUN
ma-142	267	6	12	12	NUM
ma-142	267	7	⇒	⇒	NOUN
ma-142	267	8	−mt	−mt	NOUN
ma-142	267	9	+	+	CCONJ
ma-142	267	10	(	(	PUNCT
ma-142	267	11	θ̂t	θ̂t	X
ma-142	267	12	−	−	PROPN
ma-142	267	13	θ)it	θ)it	PROPN
ma-142	267	14	+	+	SYM
ma-142	267	15	b0	b0	PROPN
ma-142	267	16	t	t	PROPN
ma-142	267	17	(	(	PUNCT
ma-142	267	18	θ̂t	θ̂t	X
ma-142	267	19	−	−	PROPN
ma-142	267	20	θ)2	θ)2	NOUN
ma-142	267	21	<	<	X
ma-142	267	22	−mt	−mt	NOUN
ma-142	268	1	+	+	CCONJ
ma-142	269	1	(	(	PUNCT
ma-142	269	2	σ2h	σ2h	PROPN
ma-142	269	3	θ̃t	θ̃t	PROPN
ma-142	269	4	t	t	PROPN
ma-142	269	5	)	)	PUNCT
ma-142	269	6	1/2	1/2	NUM
ma-142	269	7	it	it	PRON
ma-142	269	8	x	x	SYM
ma-142	269	9	+	+	CCONJ
ma-142	269	10	σ2hb0θx	σ2hb0θx	PROPN
ma-142	269	11	2	2	NUM
ma-142	269	12	⇒	⇒	NOUN
ma-142	269	13	0	0	PUNCT
ma-142	270	1	<	<	X
ma-142	271	1	−mt	−mt	X
ma-142	272	1	+	+	CCONJ
ma-142	273	1	(	(	PUNCT
ma-142	273	2	−σ2h	−σ2h	PROPN
ma-142	273	3	θ̃t	θ̃t	ADP
ma-142	273	4	t	t	PROPN
ma-142	273	5	)	)	PUNCT
ma-142	273	6	1/2	1/2	NUM
ma-142	273	7	it	it	PRON
ma-142	273	8	x	x	SYM
ma-142	273	9	+	+	CCONJ
ma-142	273	10	σ2hb0θx	σ2hb0θx	NOUN
ma-142	273	11	2	2	NUM
ma-142	273	12	since	since	SCONJ
ma-142	273	13	it	it	PRON
ma-142	273	14	+	+	CCONJ
ma-142	273	15	b0	b0	PROPN
ma-142	273	16	t	t	PROPN
ma-142	273	17	(	(	PUNCT
ma-142	273	18	θ̂t	θ̂t	X
ma-142	273	19	−	−	PROPN
ma-142	273	20	θ	θ	PROPN
ma-142	273	21	)	)	PUNCT
ma-142	273	22	>	>	X
ma-142	273	23	tc0	tc0	X
ma-142	274	1	+	+	PUNCT
ma-142	274	2	b0	b0	NOUN
ma-142	274	3	t	t	PROPN
ma-142	274	4	(	(	PUNCT
ma-142	274	5	θ̂t	θ̂t	X
ma-142	274	6	−	−	PROPN
ma-142	274	7	θ	θ	PROPN
ma-142	274	8	)	)	PUNCT
ma-142	274	9	>	>	X
ma-142	275	1	2σ2hb0(logt	2σ2hb0(logt	NUM
ma-142	275	2	)	)	PUNCT
ma-142	275	3	1/2	1/2	NUM
ma-142	275	4	(	(	PUNCT
ma-142	275	5	−σ2h	−σ2h	PROPN
ma-142	275	6	θ̃t	θ̃t	ADP
ma-142	275	7	t	t	PROPN
ma-142	275	8	)	)	PUNCT
ma-142	275	9	1/2	1/2	NUM
ma-142	276	1	−	−	PROPN
ma-142	276	2	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	276	3	)	)	PUNCT
ma-142	276	4	1−h	1−h	NOUN
ma-142	276	5	(	(	PUNCT
ma-142	276	6	−σ2h	−σ2h	PROPN
ma-142	276	7	θ̃t	θ̃t	ADP
ma-142	276	8	t	t	PROPN
ma-142	276	9	)	)	PUNCT
ma-142	276	10	1/2	1/2	NUM
ma-142	276	11	=	=	SYM
ma-142	276	12	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	276	13	)	)	PUNCT
ma-142	276	14	1/2	1/2	NUM
ma-142	276	15	(	(	PUNCT
ma-142	276	16	−σ2h	−σ2h	PROPN
ma-142	276	17	θ̃t	θ̃t	ADP
ma-142	276	18	t	t	PROPN
ma-142	276	19	)	)	PUNCT
ma-142	276	20	1/2	1/2	NUM
ma-142	276	21	>	>	X
ma-142	276	22	0	0	X
ma-142	276	23	.	.	PUNCT
ma-142	277	1	on	on	ADP
ma-142	277	2	the	the	DET
ma-142	277	3	other	other	ADJ
ma-142	277	4	hand	hand	NOUN
ma-142	277	5	,	,	PUNCT
ma-142	277	6	on	on	ADP
ma-142	277	7	the	the	DET
ma-142	277	8	set	set	NOUN
ma-142	277	9	at	at	ADP
ma-142	277	10	∩bt	∩bt	NOUN
ma-142	277	11	for	for	ADP
ma-142	277	12	all	all	DET
ma-142	277	13	t	t	PROPN
ma-142	277	14	>	>	X
ma-142	277	15	t0	t0	PROPN
ma-142	277	16	with	with	ADP
ma-142	277	17	4b0(logt0	4b0(logt0	PROPN
ma-142	277	18	)	)	PUNCT
ma-142	277	19	1/2	1/2	NUM
ma-142	277	20	(	(	PUNCT
ma-142	277	21	−σ2h	−σ2h	NOUN
ma-142	277	22	θ̃t	θ̃t	X
ma-142	277	23	t0	t0	PROPN
ma-142	277	24	)	)	PUNCT
ma-142	277	25	1/2	1/2	NUM
ma-142	277	26	≤	≤	NUM
ma-142	277	27	c0	c0	NOUN
ma-142	277	28	,	,	PUNCT
ma-142	277	29	wehave	wehave	NOUN
ma-142	277	30	(	(	PUNCT
ma-142	277	31	t	t	PROPN
ma-142	277	32	−σ2h	−σ2h	PROPN
ma-142	277	33	θ̃t	θ̃t	PROPN
ma-142	277	34	)	)	PUNCT
ma-142	277	35	1/2	1/2	NUM
ma-142	277	36	(	(	PUNCT
ma-142	277	37	θ̂t	θ̂t	X
ma-142	277	38	−	−	PROPN
ma-142	277	39	θ	θ	PROPN
ma-142	277	40	)	)	PUNCT
ma-142	277	41	>	>	X
ma-142	277	42	x	x	PUNCT
ma-142	277	43	⇒	⇒	VERB
ma-142	277	44	it	it	PRON
ma-142	277	45	−	−	PROPN
ma-142	277	46	b0	b0	PROPN
ma-142	277	47	t	t	PROPN
ma-142	277	48	(	(	PUNCT
ma-142	277	49	θ̂t	θ̂t	X
ma-142	277	50	−	−	PROPN
ma-142	277	51	θ	θ	PROPN
ma-142	277	52	)	)	PUNCT
ma-142	277	53	<	<	X
ma-142	278	1	it	it	PRON
ma-142	278	2	−	−	PROPN
ma-142	278	3	(	(	PUNCT
ma-142	278	4	t	t	PROPN
ma-142	278	5	σ2h	σ2h	PROPN
ma-142	278	6	θ̃t	θ̃t	PROPN
ma-142	278	7	)	)	PUNCT
ma-142	278	8	1/2	1/2	NUM
ma-142	278	9	2b0θx	2b0θx	NUM
ma-142	278	10	⇒	⇒	NOUN
ma-142	278	11	(	(	PUNCT
ma-142	278	12	t	t	PROPN
ma-142	278	13	−σ2h	−σ2h	PROPN
ma-142	278	14	θ̃t	θ̃t	PROPN
ma-142	278	15	)	)	PUNCT
ma-142	278	16	1/2	1/2	NUM
ma-142	278	17	(	(	PUNCT
ma-142	278	18	θ̂t	θ̂t	X
ma-142	278	19	−	−	PROPN
ma-142	278	20	θ)[it	θ)[it	PROPN
ma-142	278	21	−	−	PROPN
ma-142	278	22	b0	b0	PROPN
ma-142	278	23	t	t	PROPN
ma-142	278	24	(	(	PUNCT
ma-142	278	25	θ̂t	θ̂t	X
ma-142	278	26	−	−	PROPN
ma-142	278	27	θ	θ	PROPN
ma-142	278	28	)	)	PUNCT
ma-142	278	29	]	]	PUNCT
ma-142	278	30	>	>	X
ma-142	278	31	x	x	PUNCT
ma-142	279	1	[	[	X
ma-142	279	2	it	it	PRON
ma-142	279	3	−	−	PROPN
ma-142	279	4	(	(	PUNCT
ma-142	279	5	t	t	PROPN
ma-142	279	6	−σ2h	−σ2h	PROPN
ma-142	279	7	θ̃t	θ̃t	PROPN
ma-142	279	8	)	)	PUNCT
ma-142	279	9	1/2	1/2	NUM
ma-142	279	10	σ2hb0θx	σ2hb0θx	PROPN
ma-142	279	11	]	]	PUNCT
ma-142	279	12	⇒	⇒	NOUN
ma-142	279	13	(	(	PUNCT
ma-142	279	14	θ̂t	θ̂t	X
ma-142	279	15	−	−	PROPN
ma-142	279	16	θ)it	θ)it	PROPN
ma-142	279	17	−	−	PROPN
ma-142	279	18	b0	b0	PROPN
ma-142	279	19	t	t	PROPN
ma-142	279	20	(	(	PUNCT
ma-142	279	21	θ̂t	θ̂t	X
ma-142	279	22	−	−	PROPN
ma-142	279	23	θ)2	θ)2	NOUN
ma-142	279	24	>	>	X
ma-142	279	25	(	(	PUNCT
ma-142	279	26	t	t	PROPN
ma-142	279	27	−σ2h	−σ2h	PROPN
ma-142	279	28	θ̃t	θ̃t	NOUN
ma-142	279	29	)	)	PUNCT
ma-142	279	30	−1/2	−1/2	VERB
ma-142	279	31	it	it	PRON
ma-142	279	32	x	x	PUNCT
ma-142	279	33	−	−	VERB
ma-142	279	34	σ2hb0θx2	σ2hb0θx2	NOUN
ma-142	279	35	⇒	⇒	VERB
ma-142	279	36	−mt	−mt	NOUN
ma-142	279	37	+	+	CCONJ
ma-142	279	38	(	(	PUNCT
ma-142	279	39	θ̂t	θ̂t	X
ma-142	279	40	−	−	PROPN
ma-142	279	41	θ)it	θ)it	PROPN
ma-142	279	42	−	−	PROPN
ma-142	279	43	b0	b0	PROPN
ma-142	279	44	t	t	PROPN
ma-142	279	45	(	(	PUNCT
ma-142	279	46	θ̂t	θ̂t	X
ma-142	279	47	−	−	PROPN
ma-142	279	48	θ)2	θ)2	NOUN
ma-142	279	49	>	>	X
ma-142	279	50	−mt	−mt	PROPN
ma-142	280	1	+	+	CCONJ
ma-142	280	2	(	(	PUNCT
ma-142	280	3	t	t	PROPN
ma-142	280	4	−σ2h	−σ2h	PROPN
ma-142	280	5	θ̃t	θ̃t	NOUN
ma-142	280	6	)	)	PUNCT
ma-142	280	7	−1/2	−1/2	VERB
ma-142	280	8	it	it	PRON
ma-142	280	9	x	x	PUNCT
ma-142	280	10	−	−	ADP
ma-142	280	11	σ2hb0θx2	σ2hb0θx2	NUM
ma-142	280	12	⇒	⇒	NOUN
ma-142	280	13	0	0	PUNCT
ma-142	280	14	>	>	PUNCT
ma-142	281	1	−mt	−mt	NOUN
ma-142	281	2	+	+	CCONJ
ma-142	281	3	(	(	PUNCT
ma-142	281	4	−σ2h	−σ2h	PROPN
ma-142	281	5	θ̃t	θ̃t	ADP
ma-142	281	6	t	t	PROPN
ma-142	281	7	)	)	PUNCT
ma-142	281	8	1/2	1/2	NUM
ma-142	281	9	it	it	PRON
ma-142	281	10	x	x	PUNCT
ma-142	281	11	−	−	PROPN
ma-142	281	12	σ2hb0θx2	σ2hb0θx2	ADJ
ma-142	281	13	since	since	SCONJ
ma-142	281	14	it	it	PRON
ma-142	281	15	−	−	PROPN
ma-142	281	16	b0	b0	PROPN
ma-142	281	17	t	t	PROPN
ma-142	281	18	(	(	PUNCT
ma-142	281	19	θ̂t	θ̂t	X
ma-142	281	20	−	−	PROPN
ma-142	281	21	θ	θ	PROPN
ma-142	281	22	)	)	PUNCT
ma-142	281	23	>	>	X
ma-142	282	1	tc0	tc0	X
ma-142	283	1	−	−	PROPN
ma-142	283	2	b0	b0	PROPN
ma-142	283	3	t	t	PROPN
ma-142	283	4	(	(	PUNCT
ma-142	283	5	θ̂t	θ̂t	X
ma-142	283	6	−	−	PROPN
ma-142	283	7	θ	θ	PROPN
ma-142	283	8	)	)	PUNCT
ma-142	283	9	>	>	X
ma-142	284	1	2σ2hb0(logt	2σ2hb0(logt	NUM
ma-142	284	2	)	)	PUNCT
ma-142	284	3	1/2	1/2	NUM
ma-142	284	4	(	(	PUNCT
ma-142	284	5	−σ2h	−σ2h	PROPN
ma-142	284	6	θ̃t	θ̃t	ADP
ma-142	284	7	t	t	PROPN
ma-142	284	8	)	)	PUNCT
ma-142	284	9	1/2	1/2	NUM
ma-142	284	10	−	−	PROPN
ma-142	284	11	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	284	12	)	)	PUNCT
ma-142	284	13	1/2	1/2	NUM
ma-142	284	14	(	(	PUNCT
ma-142	284	15	−σ2h	−σ2h	PROPN
ma-142	284	16	θ̃t	θ̃t	ADP
ma-142	284	17	t	t	PROPN
ma-142	284	18	)	)	PUNCT
ma-142	284	19	1/2	1/2	NUM
ma-142	284	20	=	=	SYM
ma-142	284	21	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	284	22	)	)	PUNCT
ma-142	284	23	1/2	1/2	NUM
ma-142	284	24	(	(	PUNCT
ma-142	284	25	−σ2h	−σ2h	PROPN
ma-142	284	26	θ̃t	θ̃t	ADP
ma-142	284	27	t	t	PROPN
ma-142	284	28	)	)	PUNCT
ma-142	284	29	1/2	1/2	NUM
ma-142	284	30	>	>	X
ma-142	284	31	0	0	X
ma-142	284	32	.	.	PUNCT
ma-142	285	1	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	285	2	eur	eur	PROPN
ma-142	285	3	.	.	PUNCT
ma-142	286	1	j.	j.	PROPN
ma-142	286	2	math	math	PROPN
ma-142	286	3	.	.	PUNCT
ma-142	287	1	anal	anal	PROPN
ma-142	287	2	.	.	PUNCT
ma-142	288	1	10.28924	10.28924	NUM
ma-142	288	2	/	/	SYM
ma-142	288	3	ada	ada	NOUN
ma-142	288	4	/	/	SYM
ma-142	288	5	ma.3.14	ma.3.14	NOUN
ma-142	289	1	13hence	13hence	NOUN
ma-142	289	2	0	0	PUNCT
ma-142	290	1	<	<	X
ma-142	290	2	−mt	−mt	X
ma-142	290	3	+	+	CCONJ
ma-142	290	4	(	(	PUNCT
ma-142	290	5	t	t	PROPN
ma-142	290	6	−σ2h	−σ2h	PROPN
ma-142	290	7	θ̃t	θ̃t	PROPN
ma-142	290	8	)	)	PUNCT
ma-142	290	9	1/2	1/2	NUM
ma-142	290	10	it	it	PRON
ma-142	290	11	x	x	PUNCT
ma-142	290	12	−	−	ADP
ma-142	290	13	σ2hb0θx2	σ2hb0θx2	NUM
ma-142	290	14	⇒	⇒	NOUN
ma-142	290	15	(	(	PUNCT
ma-142	290	16	t	t	PROPN
ma-142	290	17	−σ2h	−σ2h	PROPN
ma-142	290	18	θ̃t	θ̃t	PROPN
ma-142	290	19	)	)	PUNCT
ma-142	290	20	1/2	1/2	NUM
ma-142	290	21	(	(	PUNCT
ma-142	290	22	θ̂t	θ̂t	X
ma-142	290	23	−	−	PROPN
ma-142	290	24	θ	θ	PROPN
ma-142	290	25	)	)	PUNCT
ma-142	290	26	≤	≤	NOUN
ma-142	290	27	x.	x.	NOUN
ma-142	291	1	letting	let	VERB
ma-142	291	2	d±t	d±t	NOUN
ma-142	291	3	,	,	PUNCT
ma-142	291	4	x	x	PUNCT
ma-142	291	5	:	:	PUNCT
ma-142	291	6	=	=	SYM
ma-142	291	7	−mt	−mt	NUM
ma-142	292	1	+	+	CCONJ
ma-142	292	2	(	(	PUNCT
ma-142	292	3	σ2h	σ2h	PROPN
ma-142	292	4	θ̃t	θ̃t	PROPN
ma-142	292	5	t	t	PROPN
ma-142	292	6	)	)	PUNCT
ma-142	292	7	1/2	1/2	NUM
ma-142	292	8	it	it	PRON
ma-142	292	9	x	x	SYM
ma-142	292	10	±	±	NUM
ma-142	292	11	σ2hb0θx2	σ2hb0θx2	NOUN
ma-142	292	12	>	>	X
ma-142	292	13	0	0	PUNCT
ma-142	293	1			NOUN
ma-142	293	2	,	,	PUNCT
ma-142	293	3	we	we	PRON
ma-142	293	4	obtain	obtain	VERB
ma-142	293	5	d−t	d−t	NOUN
ma-142	293	6	,	,	PUNCT
ma-142	293	7	x	x	SYM
ma-142	293	8	∩	∩	NOUN
ma-142	293	9	at	at	ADP
ma-142	293	10	∩	∩	NOUN
ma-142	293	11	bt	bt	VERB
ma-142	293	12	⊆	⊆	NUM
ma-142	293	13	at	at	ADP
ma-142	293	14	∩	∩	PROPN
ma-142	293	15	bt	bt	NOUN
ma-142	293	16	∩	∩	NOUN
ma-142	293	17			PUNCT
ma-142	293	18	(	(	PUNCT
ma-142	293	19	t	t	PROPN
ma-142	293	20	−σ2h	−σ2h	PROPN
ma-142	293	21	θ̃t	θ̃t	PROPN
ma-142	293	22	)	)	PUNCT
ma-142	293	23	1/2	1/2	NUM
ma-142	293	24	(	(	PUNCT
ma-142	293	25	θ̂t	θ̂t	X
ma-142	293	26	−	−	PROPN
ma-142	293	27	θ	θ	PROPN
ma-142	293	28	)	)	PUNCT
ma-142	293	29	≤	≤	NOUN
ma-142	293	30	x	x	PUNCT
ma-142	294	1			NOUN
ma-142	294	2	⊆	⊆	NUM
ma-142	294	3	d+t	d+t	NOUN
ma-142	294	4	,	,	PUNCT
ma-142	294	5	x	x	SYM
ma-142	294	6	∩	∩	NOUN
ma-142	294	7	at	at	ADP
ma-142	294	8	∩	∩	PROPN
ma-142	294	9	bt	bt	PROPN
ma-142	294	10	.	.	PUNCT
ma-142	295	1	(	(	PUNCT
ma-142	295	2	2.13	2.13	NUM
ma-142	295	3	)	)	PUNCT
ma-142	295	4	if	if	SCONJ
ma-142	295	5	it	it	PRON
ma-142	295	6	is	be	AUX
ma-142	295	7	shown	show	VERB
ma-142	295	8	that	that	SCONJ
ma-142	295	9	∣∣p	∣∣p	PROPN
ma-142	295	10	{	{	PUNCT
ma-142	295	11	d±t	d±t	PROPN
ma-142	295	12	,	,	PUNCT
ma-142	295	13	x}−φ(x	x}−φ(x	PROPN
ma-142	295	14	)	)	PUNCT
ma-142	295	15	∣∣	∣∣	NUM
ma-142	296	1	≤	≤	ADV
ma-142	296	2	ct−1/2	ct−1/2	PROPN
ma-142	296	3	(	(	PUNCT
ma-142	296	4	2.14)for	2.14)for	PROPN
ma-142	296	5	all	all	PRON
ma-142	296	6	t	t	X
ma-142	296	7	>	>	X
ma-142	296	8	t0	t0	PROPN
ma-142	296	9	and	and	CCONJ
ma-142	296	10	|x	|x	NOUN
ma-142	296	11	|	|	ADV
ma-142	296	12	≤	≤	NUM
ma-142	296	13	2(logt	2(logt	NUM
ma-142	296	14	)	)	PUNCT
ma-142	296	15	1/2	1/2	NUM
ma-142	296	16	,	,	PUNCT
ma-142	296	17	then	then	ADV
ma-142	296	18	the	the	DET
ma-142	296	19	theorem	theorem	NOUN
ma-142	296	20	would	would	AUX
ma-142	296	21	follow	follow	VERB
ma-142	296	22	from	from	ADP
ma-142	296	23	(	(	PUNCT
ma-142	296	24	2.11	2.11	NUM
ma-142	296	25	)	)	PUNCT
ma-142	296	26	(	(	PUNCT
ma-142	296	27	2.14).we	2.14).we	PRON
ma-142	296	28	shall	shall	AUX
ma-142	296	29	prove	prove	VERB
ma-142	296	30	(	(	PUNCT
ma-142	296	31	2.4	2.4	NUM
ma-142	296	32	)	)	PUNCT
ma-142	296	33	for	for	ADP
ma-142	296	34	d+t	d+t	PROPN
ma-142	296	35	,	,	PUNCT
ma-142	296	36	x	x	X
ma-142	296	37	.	.	PUNCT
ma-142	297	1	the	the	DET
ma-142	297	2	proof	proof	NOUN
ma-142	297	3	for	for	ADP
ma-142	297	4	d−t	d−t	NOUN
ma-142	297	5	,	,	PUNCT
ma-142	297	6	x	x	PRON
ma-142	297	7	is	be	AUX
ma-142	297	8	analogous	analogous	ADJ
ma-142	297	9	.	.	PUNCT
ma-142	298	1	observe	observe	VERB
ma-142	298	2	that∣∣p	that∣∣p	PRON
ma-142	298	3	{	{	PUNCT
ma-142	298	4	d+t	d+t	PROPN
ma-142	298	5	,	,	PUNCT
ma-142	298	6	x}−φ(x	x}−φ(x	PROPN
ma-142	298	7	)	)	PUNCT
ma-142	298	8	∣∣	∣∣	X
ma-142	299	1	=	=	SYM
ma-142	299	2	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	299	3			PUNCT
ma-142	299	4	(	(	PUNCT
ma-142	299	5	−σ2h	−σ2h	X
ma-142	299	6	θ̃t	θ̃t	ADP
ma-142	299	7	t	t	PROPN
ma-142	299	8	)	)	PUNCT
ma-142	299	9	1/2	1/2	NUM
ma-142	299	10	mt	mt	PROPN
ma-142	299	11	−	−	PROPN
ma-142	299	12	(	(	PUNCT
ma-142	299	13	(	(	PUNCT
ma-142	299	14	−σ2h	−σ2h	X
ma-142	299	15	θ̃t	θ̃t	ADP
ma-142	299	16	t	t	PROPN
ma-142	299	17	)	)	PUNCT
ma-142	299	18	it	it	PRON
ma-142	299	19	−	−	NOUN
ma-142	299	20	1	1	NUM
ma-142	299	21	)	)	PUNCT
ma-142	299	22	x	x	X
ma-142	299	23	<	<	X
ma-142	299	24	x	x	X
ma-142	299	25	+	+	CCONJ
ma-142	299	26	σ2h	σ2h	PROPN
ma-142	299	27	(	(	PUNCT
ma-142	299	28	−σ2h	−σ2h	PROPN
ma-142	299	29	θ̃t	θ̃t	ADP
ma-142	299	30	t	t	PROPN
ma-142	299	31	)	)	PUNCT
ma-142	299	32	1/2	1/2	NUM
ma-142	299	33	b0θx	b0θx	SYM
ma-142	299	34	2	2	NUM
ma-142	299	35	−φ(x	−φ(x	NOUN
ma-142	299	36	)	)	PUNCT
ma-142	299	37	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	299	38	≤	≤	NUM
ma-142	299	39	sup	sup	NOUN
ma-142	299	40	y∈r	y∈r	NOUN
ma-142	299	41	∣∣∣∣∣∣p	∣∣∣∣∣∣p	NOUN
ma-142	299	42			PUNCT
ma-142	299	43	(	(	PUNCT
ma-142	299	44	−σ2h	−σ2h	PROPN
ma-142	299	45	θ̃t	θ̃t	ADP
ma-142	299	46	t	t	PROPN
ma-142	299	47	)	)	PUNCT
ma-142	299	48	1/2	1/2	NUM
ma-142	299	49	mt	mt	PROPN
ma-142	299	50	−	−	PROPN
ma-142	299	51	(	(	PUNCT
ma-142	299	52	(	(	PUNCT
ma-142	299	53	−σ2h	−σ2h	X
ma-142	299	54	θ̃t	θ̃t	ADP
ma-142	299	55	t	t	PROPN
ma-142	299	56	)	)	PUNCT
ma-142	299	57	it	it	PRON
ma-142	299	58	−	−	NOUN
ma-142	299	59	1	1	NUM
ma-142	299	60	)	)	PUNCT
ma-142	299	61	x	x	SYM
ma-142	299	62	≤	≤	ADJ
ma-142	299	63	y	y	PROPN
ma-142	299	64	−φ(y	−φ(y	NOUN
ma-142	299	65	)	)	PUNCT
ma-142	299	66	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	299	67	+	+	NUM
ma-142	299	68	∣∣∣∣∣∣φ	∣∣∣∣∣∣φ	X
ma-142	299	69	x	x	ADP
ma-142	299	70	+	+	X
ma-142	299	71	(	(	PUNCT
ma-142	299	72	−σ2h	−σ2h	PROPN
ma-142	299	73	θ̃t	θ̃t	ADP
ma-142	299	74	t	t	PROPN
ma-142	299	75	)	)	PUNCT
ma-142	299	76	1/2	1/2	NUM
ma-142	299	77	b0θx	b0θx	ADP
ma-142	299	78	2	2	NUM
ma-142	299	79	−φ(x	−φ(x	NOUN
ma-142	299	80	)	)	PUNCT
ma-142	299	81	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	300	1	=	=	NOUN
ma-142	300	2	:	:	PUNCT
ma-142	300	3	∆1	∆1	PROPN
ma-142	300	4	+	+	NUM
ma-142	300	5	∆2	∆2	X
ma-142	300	6	.	.	PUNCT
ma-142	301	1	(	(	PUNCT
ma-142	301	2	2.15)(1.50	2.15)(1.50	NOUN
ma-142	301	3	)	)	PUNCT
ma-142	301	4	immediately	immediately	ADV
ma-142	301	5	yields	yield	VERB
ma-142	301	6	∆1	∆1	NUM
ma-142	301	7	≤	≤	NUM
ma-142	301	8	ct−1/2	ct−1/2	NOUN
ma-142	301	9	.	.	PUNCT
ma-142	302	1	(	(	PUNCT
ma-142	302	2	2.16)on	2.16)on	NUM
ma-142	302	3	the	the	DET
ma-142	302	4	other	other	ADJ
ma-142	302	5	hand	hand	NOUN
ma-142	302	6	,	,	PUNCT
ma-142	302	7	for	for	ADP
ma-142	302	8	all	all	DET
ma-142	302	9	t	t	PROPN
ma-142	302	10	>	>	X
ma-142	302	11	t0	t0	PROPN
ma-142	302	12	,	,	PUNCT
ma-142	302	13	∆2	∆2	PROPN
ma-142	302	14	≤	≤	ADV
ma-142	302	15	2	2	NUM
ma-142	302	16	(	(	PUNCT
ma-142	302	17	−σ2h	−σ2h	PROPN
ma-142	302	18	θ̃t	θ̃t	ADP
ma-142	302	19	t	t	PROPN
ma-142	302	20	)	)	PUNCT
ma-142	302	21	1/2	1/2	NUM
ma-142	302	22	b0θx	b0θx	NUM
ma-142	302	23	2(2π)−1/2	2(2π)−1/2	NUM
ma-142	302	24	exp(−x2/2	exp(−x2/2	NOUN
ma-142	302	25	)	)	PUNCT
ma-142	303	1	where	where	SCONJ
ma-142	303	2	|x	|x	PUNCT
ma-142	303	3	−	−	NOUN
ma-142	303	4	x	x	SYM
ma-142	303	5	|	|	ADV
ma-142	303	6	≤	≤	ADJ
ma-142	303	7	2	2	NUM
ma-142	303	8	(	(	PUNCT
ma-142	303	9	−σ2h	−σ2h	PROPN
ma-142	303	10	θ̃t	θ̃t	ADP
ma-142	303	11	t	t	PROPN
ma-142	303	12	)	)	PUNCT
ma-142	303	13	1/2	1/2	NUM
ma-142	303	14	b0θx	b0θx	PUNCT
ma-142	303	15	2	2	NUM
ma-142	303	16	.	.	PUNCT
ma-142	304	1	since	since	SCONJ
ma-142	304	2	|x	|x	NOUN
ma-142	304	3	|	|	ADV
ma-142	304	4	≤	≤	NUM
ma-142	304	5	2(logt	2(logt	NUM
ma-142	304	6	)	)	PUNCT
ma-142	304	7	1/2	1/2	NUM
ma-142	304	8	,	,	PUNCT
ma-142	304	9	it	it	PRON
ma-142	304	10	follows	follow	VERB
ma-142	304	11	that	that	DET
ma-142	304	12	|x̄	|x̄	NOUN
ma-142	304	13	|	|	ADV
ma-142	304	14	>	>	X
ma-142	304	15	|x	|x	NOUN
ma-142	304	16	|/2	|/2	VERB
ma-142	304	17	for	for	ADP
ma-142	304	18	all	all	DET
ma-142	304	19	t	t	PROPN
ma-142	304	20	>	>	X
ma-142	304	21	t0	t0	PROPN
ma-142	304	22	and	and	CCONJ
ma-142	304	23	consequently	consequently	ADV
ma-142	304	24	∆2	∆2	PROPN
ma-142	304	25	≤	≤	ADV
ma-142	304	26	2	2	NUM
ma-142	304	27	(	(	PUNCT
ma-142	304	28	−σ2h	−σ2h	PROPN
ma-142	304	29	θ̃t	θ̃t	ADP
ma-142	304	30	t	t	PROPN
ma-142	304	31	)	)	PUNCT
ma-142	304	32	1/2	1/2	NUM
ma-142	304	33	b0θx	b0θx	PUNCT
ma-142	305	1	2(2π)−1/2x2	2(2π)−1/2x2	NUM
ma-142	305	2	exp(−x2/8	exp(−x2/8	NOUN
ma-142	305	3	)	)	PUNCT
ma-142	305	4	≤	≤	NOUN
ma-142	305	5	ct−1/2	ct−1/2	PROPN
ma-142	305	6	.	.	PUNCT
ma-142	306	1	(	(	PUNCT
ma-142	306	2	2.17	2.17	NUM
ma-142	306	3	)	)	PUNCT
ma-142	306	4	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	306	5	eur	eur	PROPN
ma-142	306	6	.	.	PUNCT
ma-142	307	1	j.	j.	PROPN
ma-142	307	2	math	math	PROPN
ma-142	307	3	.	.	PUNCT
ma-142	308	1	anal	anal	PROPN
ma-142	308	2	.	.	PUNCT
ma-142	309	1	10.28924	10.28924	NUM
ma-142	309	2	/	/	SYM
ma-142	309	3	ada	ada	PROPN
ma-142	309	4	/	/	SYM
ma-142	309	5	ma.3.14	ma.3.14	NOUN
ma-142	309	6	14from	14from	NUM
ma-142	309	7	(	(	PUNCT
ma-142	309	8	2.15	2.15	NUM
ma-142	309	9	)	)	PUNCT
ma-142	309	10	(	(	PUNCT
ma-142	309	11	2.17	2.17	NUM
ma-142	309	12	)	)	PUNCT
ma-142	309	13	,	,	PUNCT
ma-142	309	14	we	we	PRON
ma-142	309	15	obtain	obtain	VERB
ma-142	309	16	∣∣p	∣∣p	PROPN
ma-142	309	17	{	{	PUNCT
ma-142	309	18	d+t	d+t	PROPN
ma-142	309	19	,	,	PUNCT
ma-142	309	20	x}−φ(x	x}−φ(x	PROPN
ma-142	309	21	)	)	PUNCT
ma-142	309	22	∣∣	∣∣	NUM
ma-142	310	1	≤	≤	PROPN
ma-142	310	2	ct−1/2	ct−1/2	PROPN
ma-142	310	3	.	.	PUNCT
ma-142	311	1	this	this	PRON
ma-142	311	2	completes	complete	VERB
ma-142	311	3	the	the	DET
ma-142	311	4	proof	proof	NOUN
ma-142	311	5	of	of	ADP
ma-142	311	6	part	part	NOUN
ma-142	311	7	(	(	PUNCT
ma-142	311	8	a	a	NOUN
ma-142	311	9	)	)	PUNCT
ma-142	311	10	of	of	ADP
ma-142	311	11	the	the	DET
ma-142	311	12	theorem	theorem	NOUN
ma-142	311	13	.	.	PUNCT
ma-142	312	1	next	next	ADV
ma-142	312	2	we	we	PRON
ma-142	312	3	prove	prove	VERB
ma-142	312	4	(	(	PUNCT
ma-142	312	5	c	c	NOUN
ma-142	312	6	)	)	PUNCT
ma-142	312	7	.	.	PUNCT
ma-142	313	1	again	again	ADV
ma-142	313	2	we	we	PRON
ma-142	313	3	shall	shall	AUX
ma-142	313	4	consider	consider	VERB
ma-142	313	5	two	two	NUM
ma-142	313	6	possibilities	possibility	NOUN
ma-142	313	7	(	(	PUNCT
ma-142	313	8	i	i	NOUN
ma-142	313	9	)	)	PUNCT
ma-142	313	10	and	and	CCONJ
ma-142	313	11	(	(	PUNCT
ma-142	313	12	ii	ii	NOUN
ma-142	313	13	)	)	PUNCT
ma-142	313	14	.	.	PUNCT
ma-142	314	1	(	(	PUNCT
ma-142	314	2	i	i	NOUN
ma-142	314	3	)	)	PUNCT
ma-142	314	4	|x	|x	NOUN
ma-142	315	1	|	|	ADV
ma-142	315	2	>	>	X
ma-142	315	3	2(logt	2(logt	NUM
ma-142	315	4	)	)	PUNCT
ma-142	315	5	1−/2	1−/2	NUM
ma-142	315	6	.	.	PUNCT
ma-142	316	1	we	we	PRON
ma-142	316	2	shall	shall	AUX
ma-142	316	3	give	give	VERB
ma-142	316	4	a	a	DET
ma-142	316	5	proof	proof	NOUN
ma-142	316	6	for	for	ADP
ma-142	316	7	the	the	DET
ma-142	316	8	case	case	NOUN
ma-142	316	9	x	x	PUNCT
ma-142	316	10	>	>	X
ma-142	316	11	2(logt	2(logt	NUM
ma-142	316	12	)	)	PUNCT
ma-142	316	13	1/2	1/2	NUM
ma-142	316	14	.	.	PUNCT
ma-142	317	1	the	the	DET
ma-142	317	2	proof	proof	NOUN
ma-142	317	3	for	for	ADP
ma-142	317	4	the	the	DET
ma-142	317	5	case	case	NOUN
ma-142	317	6	x	x	X
ma-142	317	7	<	<	X
ma-142	317	8	−2(logt	−2(logt	PROPN
ma-142	317	9	)	)	PUNCT
ma-142	317	10	1/2runs	1/2run	NOUN
ma-142	317	11	similarly	similarly	ADV
ma-142	317	12	.	.	PUNCT
ma-142	318	1	note	note	VERB
ma-142	318	2	that∣∣∣∣∣∣p	that∣∣∣∣∣∣p	PRON
ma-142	319	1	2h	2h	PROPN
ma-142	319	2	(	(	PUNCT
ma-142	319	3	t	t	PROPN
ma-142	319	4	−σ2h	−σ2h	PROPN
ma-142	319	5	θ̃t	θ̃t	PROPN
ma-142	319	6	)	)	PUNCT
ma-142	319	7	1/2	1/2	NUM
ma-142	319	8	(	(	PUNCT
ma-142	319	9	θ̃t	θ̃t	X
ma-142	319	10	−	−	NUM
ma-142	319	11	θ	θ	NOUN
ma-142	319	12	)	)	PUNCT
ma-142	319	13	≤	≤	NOUN
ma-142	319	14	x	x	PUNCT
ma-142	319	15	−φ(x	−φ(x	NOUN
ma-142	319	16	)	)	PUNCT
ma-142	319	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	319	18	≤	≤	PROPN
ma-142	320	1	p	p	DET
ma-142	320	2	2h	2h	PROPN
ma-142	320	3	(	(	PUNCT
ma-142	320	4	t	t	PROPN
ma-142	320	5	−σ2h	−σ2h	PROPN
ma-142	320	6	θ̃t	θ̃t	PROPN
ma-142	320	7	)	)	PUNCT
ma-142	320	8	1/2	1/2	NUM
ma-142	320	9	(	(	PUNCT
ma-142	320	10	θ̃t	θ̃t	X
ma-142	320	11	−	−	PROPN
ma-142	320	12	θ	θ	PROPN
ma-142	320	13	)	)	PUNCT
ma-142	320	14	≥	≥	NOUN
ma-142	320	15	x	x	X
ma-142	320	16	+	+	NOUN
ma-142	320	17	φ(−x	φ(−x	NOUN
ma-142	320	18	)	)	PUNCT
ma-142	320	19	.	.	PUNCT
ma-142	321	1	by	by	ADP
ma-142	321	2	(	(	PUNCT
ma-142	321	3	2.7	2.7	NUM
ma-142	321	4	)	)	PUNCT
ma-142	321	5	and	and	CCONJ
ma-142	321	6	lemma	lemma	PROPN
ma-142	321	7	2.4	2.4	NUM
ma-142	321	8	(	(	PUNCT
ma-142	321	9	b	b	NOUN
ma-142	321	10	)	)	PUNCT
ma-142	321	11	,	,	PUNCT
ma-142	321	12	we	we	PRON
ma-142	321	13	have	have	VERB
ma-142	321	14	p	p	NOUN
ma-142	321	15	2h	2h	PROPN
ma-142	321	16	(	(	PUNCT
ma-142	321	17	t	t	PROPN
ma-142	321	18	σ2h	σ2h	PROPN
ma-142	321	19	θ̃t	θ̃t	PROPN
ma-142	321	20	)	)	PUNCT
ma-142	321	21	1/2	1/2	NUM
ma-142	321	22	(	(	PUNCT
ma-142	321	23	θ̃t	θ̃t	X
ma-142	321	24	−	−	PROPN
ma-142	321	25	θ	θ	PROPN
ma-142	321	26	)	)	PUNCT
ma-142	321	27	≥	≥	NOUN
ma-142	321	28	2(logt	2(logt	NUM
ma-142	321	29	)	)	PUNCT
ma-142	321	30	1/2	1/2	NUM
ma-142	321	31			NOUN
ma-142	321	32	≤	≤	NUM
ma-142	322	1	ct−1/4	ct−1/4	AUX
ma-142	322	2	.	.	PUNCT
ma-142	323	1	hence	hence	ADV
ma-142	323	2	∣∣∣∣∣∣p	∣∣∣∣∣∣p	ADV
ma-142	324	1	2h	2h	PROPN
ma-142	324	2	(	(	PUNCT
ma-142	324	3	t	t	PROPN
ma-142	324	4	−σ2h	−σ2h	PROPN
ma-142	324	5	θ̃t	θ̃t	PROPN
ma-142	324	6	)	)	PUNCT
ma-142	324	7	1/2	1/2	NUM
ma-142	324	8	(	(	PUNCT
ma-142	324	9	θ̃t	θ̃t	X
ma-142	324	10	−	−	NUM
ma-142	324	11	θ	θ	NOUN
ma-142	324	12	)	)	PUNCT
ma-142	324	13	≤	≤	NOUN
ma-142	324	14	x	x	PUNCT
ma-142	324	15	−φ(x	−φ(x	NOUN
ma-142	324	16	)	)	PUNCT
ma-142	324	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	324	18	≤	≤	ADJ
ma-142	324	19	ct−1/4.(ii	ct−1/4.(ii	ADJ
ma-142	324	20	)	)	PUNCT
ma-142	324	21	|x	|x	NOUN
ma-142	324	22	|	|	ADV
ma-142	324	23	≤	≤	NUM
ma-142	324	24	2(logt	2(logt	NUM
ma-142	324	25	)	)	PUNCT
ma-142	324	26	1/2	1/2	NUM
ma-142	324	27	.	.	PUNCT
ma-142	325	1	let	let	VERB
ma-142	325	2	a1,t	a1,t	NOUN
ma-142	325	3	:	:	PUNCT
ma-142	325	4	=	=	SYM
ma-142	325	5	2h	2h	PROPN
ma-142	325	6	(	(	PUNCT
ma-142	325	7	t	t	PROPN
ma-142	325	8	−σ2h	−σ2h	PROPN
ma-142	325	9	θ̃t	θ̃t	PROPN
ma-142	325	10	)	)	PUNCT
ma-142	325	11	1/2	1/2	NUM
ma-142	325	12	|θ̃t	|θ̃t	NOUN
ma-142	325	13	−	−	NOUN
ma-142	326	1	θ|	θ|	VERB
ma-142	326	2	≤	≤	NOUN
ma-142	326	3	2(logt	2(logt	NUM
ma-142	326	4	)	)	PUNCT
ma-142	326	5	1/2	1/2	NUM
ma-142	326	6			NOUN
ma-142	326	7	and	and	CCONJ
ma-142	326	8	b1,t	b1,t	NOUN
ma-142	326	9	:	:	PUNCT
ma-142	326	10	=	=	SYM
ma-142	326	11	{	{	PUNCT
ma-142	326	12	it	it	PRON
ma-142	326	13	t	t	X
ma-142	326	14	>	>	X
ma-142	326	15	c0	c0	PROPN
ma-142	326	16	}	}	PUNCT
ma-142	326	17	where	where	SCONJ
ma-142	326	18	0	0	NUM
ma-142	326	19	<	<	X
ma-142	326	20	c0	c0	X
ma-142	326	21	<	<	X
ma-142	326	22	1	1	NUM
ma-142	326	23	−σ2hθ	−σ2hθ	NUM
ma-142	326	24	.	.	PUNCT
ma-142	327	1	by	by	ADP
ma-142	327	2	lemma	lemma	PROPN
ma-142	327	3	2.4	2.4	NUM
ma-142	327	4	,	,	PUNCT
ma-142	327	5	we	we	PRON
ma-142	327	6	have	have	VERB
ma-142	327	7	p	p	NOUN
ma-142	327	8	(	(	PUNCT
ma-142	327	9	ac1,t	ac1,t	PROPN
ma-142	327	10	)	)	PUNCT
ma-142	327	11	≤	≤	NOUN
ma-142	327	12	ct−1/4	ct−1/4	PROPN
ma-142	327	13	.	.	PUNCT
ma-142	328	1	(	(	PUNCT
ma-142	328	2	2.18	2.18	NUM
ma-142	328	3	)	)	PUNCT
ma-142	328	4	by	by	ADP
ma-142	328	5	lemma	lemma	PROPN
ma-142	328	6	2.1	2.1	NUM
ma-142	328	7	,	,	PUNCT
ma-142	328	8	we	we	PRON
ma-142	328	9	have	have	VERB
ma-142	328	10	p	p	NOUN
ma-142	328	11	(	(	PUNCT
ma-142	328	12	bc1,t	bc1,t	PROPN
ma-142	328	13	)	)	PUNCT
ma-142	328	14	=	=	PUNCT
ma-142	329	1	p	p	X
ma-142	329	2	{	{	PUNCT
ma-142	329	3	(	(	PUNCT
ma-142	329	4	−σ2hθ	−σ2hθ	NUM
ma-142	329	5	4th2	4th2	NUM
ma-142	329	6	)	)	PUNCT
ma-142	330	1	it	it	PRON
ma-142	330	2	−	−	NOUN
ma-142	330	3	1	1	NUM
ma-142	331	1	<	<	X
ma-142	331	2	σ2hθc0	σ2hθc0	ADP
ma-142	331	3	−	−	NOUN
ma-142	331	4	1	1	NUM
ma-142	331	5	}	}	PUNCT
ma-142	331	6	<	<	X
ma-142	331	7	p	p	X
ma-142	331	8	{	{	PUNCT
ma-142	331	9	∣∣∣∣(−σ2hθ4th2	∣∣∣∣(−σ2hθ4th2	PROPN
ma-142	331	10	)	)	PUNCT
ma-142	332	1	it	it	PRON
ma-142	332	2	−	−	NUM
ma-142	332	3	1	1	NUM
ma-142	332	4	∣∣∣∣	∣∣∣∣	NOUN
ma-142	332	5	>	>	X
ma-142	332	6	1−	1−	NUM
ma-142	332	7	σ2hθc0	σ2hθc0	ADP
ma-142	332	8	}	}	PUNCT
ma-142	332	9	≤	≤	NUM
ma-142	332	10	ct−1	ct−1	PROPN
ma-142	332	11	.	.	PUNCT
ma-142	333	1	(	(	PUNCT
ma-142	333	2	2.19)let	2.19)let	NUM
ma-142	333	3	b0	b0	NOUN
ma-142	333	4	be	be	AUX
ma-142	333	5	some	some	DET
ma-142	333	6	positive	positive	ADJ
ma-142	333	7	number	number	NOUN
ma-142	333	8	.	.	PUNCT
ma-142	334	1	on	on	ADP
ma-142	334	2	the	the	DET
ma-142	334	3	set	set	ADJ
ma-142	334	4	a1,t	a1,t	PROPN
ma-142	334	5	∩	∩	ADJ
ma-142	334	6	b1,t	b1,t	PROPN
ma-142	334	7	for	for	ADP
ma-142	334	8	all	all	DET
ma-142	334	9	t	t	PROPN
ma-142	334	10	>	>	X
ma-142	334	11	t0	t0	PROPN
ma-142	334	12	with	with	ADP
ma-142	334	13	4b0(logt0	4b0(logt0	PROPN
ma-142	334	14	)	)	PUNCT
ma-142	334	15	1/2	1/2	NUM
ma-142	334	16	(	(	PUNCT
ma-142	334	17	−σ2hθ	−σ2hθ	NUM
ma-142	334	18	4t0h2	4t0h2	NOUN
ma-142	334	19	)	)	PUNCT
ma-142	334	20	1/2	1/2	NUM
ma-142	334	21	≤	≤	NUM
ma-142	334	22	c0	c0	NOUN
ma-142	334	23	,	,	PUNCT
ma-142	334	24	we	we	PRON
ma-142	334	25	have	have	VERB
ma-142	334	26	2h	2h	NUM
ma-142	334	27	(	(	PUNCT
ma-142	334	28	t	t	PROPN
ma-142	334	29	−σ2h	−σ2h	PROPN
ma-142	334	30	θ̃t	θ̃t	PROPN
ma-142	334	31	)	)	PUNCT
ma-142	334	32	1/2	1/2	NUM
ma-142	334	33	(	(	PUNCT
ma-142	334	34	θ̃t	θ̃t	X
ma-142	334	35	−	−	NUM
ma-142	334	36	θ	θ	NOUN
ma-142	334	37	)	)	PUNCT
ma-142	334	38	≤	≤	NOUN
ma-142	334	39	x	x	PUNCT
ma-142	334	40	⇒	⇒	VERB
ma-142	334	41	it	it	PRON
ma-142	334	42	+	+	CCONJ
ma-142	334	43	b0	b0	PROPN
ma-142	334	44	t	t	PROPN
ma-142	334	45	(	(	PUNCT
ma-142	334	46	θ̃t	θ̃t	X
ma-142	334	47	−	−	PROPN
ma-142	334	48	θ	θ	NOUN
ma-142	334	49	)	)	PUNCT
ma-142	334	50	<	<	X
ma-142	335	1	it	it	PRON
ma-142	335	2	+	+	NUM
ma-142	335	3	2h	2h	NUM
ma-142	335	4	(	(	PUNCT
ma-142	335	5	t	t	PROPN
ma-142	335	6	−σ2h	−σ2h	PROPN
ma-142	335	7	θ̃t	θ̃t	PROPN
ma-142	335	8	)	)	PUNCT
ma-142	335	9	1/2	1/2	NUM
ma-142	335	10	σ2hb0θx	σ2hb0θx	PROPN
ma-142	335	11	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	335	12	eur	eur	NOUN
ma-142	335	13	.	.	PUNCT
ma-142	336	1	j.	j.	PROPN
ma-142	336	2	math	math	PROPN
ma-142	336	3	.	.	PUNCT
ma-142	337	1	anal	anal	PROPN
ma-142	337	2	.	.	PUNCT
ma-142	338	1	10.28924	10.28924	NUM
ma-142	338	2	/	/	SYM
ma-142	338	3	ada	ada	NOUN
ma-142	338	4	/	/	SYM
ma-142	338	5	ma.3.14	ma.3.14	NOUN
ma-142	338	6	15	15	NUM
ma-142	338	7	⇒	⇒	NOUN
ma-142	338	8	2h	2h	NUM
ma-142	338	9	(	(	PUNCT
ma-142	338	10	t	t	PROPN
ma-142	338	11	−σ2h	−σ2h	PROPN
ma-142	338	12	θ̃t	θ̃t	PROPN
ma-142	338	13	)	)	PUNCT
ma-142	338	14	1/2	1/2	NUM
ma-142	338	15	(	(	PUNCT
ma-142	338	16	θ̃t	θ̃t	X
ma-142	338	17	−	−	PROPN
ma-142	338	18	θ)[it	θ)[it	PROPN
ma-142	338	19	+	+	NUM
ma-142	338	20	b0	b0	PROPN
ma-142	338	21	t	t	PROPN
ma-142	338	22	(	(	PUNCT
ma-142	338	23	θt	θt	PROPN
ma-142	338	24	−	−	PROPN
ma-142	338	25	θ	θ	PROPN
ma-142	338	26	)	)	PUNCT
ma-142	338	27	]	]	PUNCT
ma-142	339	1	<	<	X
ma-142	339	2	x	x	PUNCT
ma-142	339	3	it	it	PROPN
ma-142	339	4	+	+	NUM
ma-142	339	5	2h	2h	NUM
ma-142	339	6	(	(	PUNCT
ma-142	339	7	t	t	PROPN
ma-142	339	8	−σ2h	−σ2h	PROPN
ma-142	339	9	θ̃t	θ̃t	PROPN
ma-142	339	10	)	)	PUNCT
ma-142	339	11	1/2	1/2	NUM
ma-142	339	12	σ2hb0θx	σ2hb0θx	PROPN
ma-142	339	13			NOUN
ma-142	339	14	⇒	⇒	NOUN
ma-142	339	15	(	(	PUNCT
ma-142	339	16	θ̃t	θ̃t	X
ma-142	339	17	−	−	PROPN
ma-142	340	1	θ)it	θ)it	PROPN
ma-142	340	2	+	+	SYM
ma-142	340	3	b0	b0	PROPN
ma-142	340	4	t	t	PROPN
ma-142	340	5	(	(	PUNCT
ma-142	340	6	θt	θt	PROPN
ma-142	340	7	−	−	PROPN
ma-142	340	8	θ)2	θ)2	NOUN
ma-142	340	9	<	<	X
ma-142	340	10	(	(	PUNCT
ma-142	340	11	−σ2hθ	−σ2hθ	NUM
ma-142	340	12	4th2	4th2	NUM
ma-142	340	13	)	)	PUNCT
ma-142	340	14	1/2	1/2	NUM
ma-142	340	15	it	it	PRON
ma-142	340	16	x	x	SYM
ma-142	340	17	+	+	CCONJ
ma-142	340	18	σ2hb0θx	σ2hb0θx	PROPN
ma-142	340	19	2	2	NUM
ma-142	340	20	⇒	⇒	NOUN
ma-142	340	21	−nt	−nt	PROPN
ma-142	341	1	+	+	CCONJ
ma-142	341	2	(	(	PUNCT
ma-142	341	3	θ̃t	θ̃t	X
ma-142	341	4	−	−	PROPN
ma-142	341	5	θ)it	θ)it	PROPN
ma-142	341	6	+	+	SYM
ma-142	341	7	b0	b0	PROPN
ma-142	341	8	t	t	PROPN
ma-142	341	9	(	(	PUNCT
ma-142	341	10	θ̃t	θ̃t	X
ma-142	341	11	−	−	PROPN
ma-142	341	12	θ)2	θ)2	NOUN
ma-142	341	13	<	<	X
ma-142	341	14	−nt	−nt	PROPN
ma-142	342	1	+	+	CCONJ
ma-142	342	2	(	(	PUNCT
ma-142	342	3	−σ2hθ	−σ2hθ	NUM
ma-142	342	4	4th2	4th2	NUM
ma-142	342	5	)	)	PUNCT
ma-142	342	6	1/2	1/2	NUM
ma-142	342	7	it	it	PRON
ma-142	342	8	x	x	SYM
ma-142	342	9	+	+	CCONJ
ma-142	342	10	σ2hb0θx	σ2hb0θx	PROPN
ma-142	342	11	2	2	NUM
ma-142	342	12	⇒	⇒	NOUN
ma-142	342	13	0	0	NUM
ma-142	342	14	<	<	X
ma-142	342	15	−nt	−nt	PROPN
ma-142	342	16	+	+	CCONJ
ma-142	342	17	(	(	PUNCT
ma-142	342	18	−σ2hθ	−σ2hθ	NUM
ma-142	342	19	4th2	4th2	NUM
ma-142	342	20	)	)	PUNCT
ma-142	342	21	1/2	1/2	NUM
ma-142	342	22	it	it	PRON
ma-142	342	23	x	x	SYM
ma-142	342	24	+	+	CCONJ
ma-142	342	25	σ2hb0θx	σ2hb0θx	NOUN
ma-142	342	26	2	2	NUM
ma-142	342	27	since	since	SCONJ
ma-142	342	28	it	it	PRON
ma-142	342	29	+	+	CCONJ
ma-142	342	30	b0	b0	NOUN
ma-142	342	31	t	t	PROPN
ma-142	342	32	(	(	PUNCT
ma-142	342	33	θt	θt	PROPN
ma-142	342	34	−	−	PROPN
ma-142	342	35	θ	θ	PROPN
ma-142	342	36	)	)	PUNCT
ma-142	342	37	>	>	X
ma-142	342	38	tc0	tc0	X
ma-142	343	1	+	+	PUNCT
ma-142	343	2	b0	b0	NOUN
ma-142	343	3	t	t	PROPN
ma-142	343	4	(	(	PUNCT
ma-142	343	5	θt	θt	PROPN
ma-142	343	6	−	−	PROPN
ma-142	343	7	θ	θ	PROPN
ma-142	343	8	)	)	PUNCT
ma-142	343	9	>	>	X
ma-142	343	10	4b0(logt	4b0(logt	NUM
ma-142	343	11	)	)	PUNCT
ma-142	343	12	1/2	1/2	NUM
ma-142	343	13	(	(	PUNCT
ma-142	343	14	−σ2hθ	−σ2hθ	NUM
ma-142	343	15	4th2	4th2	NUM
ma-142	343	16	)	)	PUNCT
ma-142	343	17	1/2	1/2	NUM
ma-142	343	18	−	−	NOUN
ma-142	343	19	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	343	20	)	)	PUNCT
ma-142	343	21	1−h	1−h	NUM
ma-142	343	22	(	(	PUNCT
ma-142	343	23	−σ2hθ	−σ2hθ	NUM
ma-142	343	24	4th2	4th2	NUM
ma-142	343	25	)	)	PUNCT
ma-142	343	26	1/2	1/2	NUM
ma-142	343	27	=	=	SYM
ma-142	343	28	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	343	29	)	)	PUNCT
ma-142	343	30	1/2	1/2	NUM
ma-142	343	31	(	(	PUNCT
ma-142	343	32	−σ2hθ	−σ2hθ	NUM
ma-142	343	33	4th2	4th2	NUM
ma-142	343	34	)	)	PUNCT
ma-142	343	35	1/2	1/2	NUM
ma-142	343	36	>	>	PUNCT
ma-142	343	37	0	0	X
ma-142	343	38	.	.	PUNCT
ma-142	344	1	on	on	ADP
ma-142	344	2	the	the	DET
ma-142	344	3	other	other	ADJ
ma-142	344	4	hand	hand	NOUN
ma-142	344	5	,	,	PUNCT
ma-142	344	6	on	on	ADP
ma-142	344	7	the	the	DET
ma-142	344	8	set	set	ADJ
ma-142	344	9	a1,t	a1,t	PROPN
ma-142	344	10	∩	∩	ADJ
ma-142	344	11	b1,t	b1,t	PROPN
ma-142	344	12	for	for	ADP
ma-142	344	13	all	all	DET
ma-142	344	14	t	t	PROPN
ma-142	344	15	>	>	X
ma-142	344	16	t0	t0	PROPN
ma-142	344	17	with	with	ADP
ma-142	344	18	4b0(logt0	4b0(logt0	PROPN
ma-142	344	19	)	)	PUNCT
ma-142	344	20	1/2	1/2	NUM
ma-142	344	21	(	(	PUNCT
ma-142	344	22	−σ2hθ	−σ2hθ	NUM
ma-142	344	23	4t0h2	4t0h2	NOUN
ma-142	344	24	)	)	PUNCT
ma-142	344	25	1/2	1/2	NUM
ma-142	344	26	≤	≤	NUM
ma-142	344	27	c0,we	c0,we	NOUN
ma-142	344	28	have	have	VERB
ma-142	344	29	2h	2h	NUM
ma-142	344	30	(	(	PUNCT
ma-142	344	31	t	t	PROPN
ma-142	344	32	σ2h	σ2h	PROPN
ma-142	344	33	θ̃t	θ̃t	PROPN
ma-142	344	34	)	)	PUNCT
ma-142	344	35	1/2	1/2	NUM
ma-142	344	36	(	(	PUNCT
ma-142	344	37	θt	θt	PROPN
ma-142	344	38	−	−	PROPN
ma-142	344	39	θ	θ	PROPN
ma-142	344	40	)	)	PUNCT
ma-142	344	41	>	>	X
ma-142	345	1	x	x	PUNCT
ma-142	345	2	⇒	⇒	VERB
ma-142	345	3	it	it	PRON
ma-142	345	4	−	−	PROPN
ma-142	345	5	b0	b0	PROPN
ma-142	345	6	t	t	PROPN
ma-142	345	7	(	(	PUNCT
ma-142	345	8	θ̃t	θ̃t	X
ma-142	345	9	−	−	PROPN
ma-142	345	10	θ	θ	NOUN
ma-142	345	11	)	)	PUNCT
ma-142	345	12	<	<	X
ma-142	346	1	it	it	PRON
ma-142	346	2	−	−	PROPN
ma-142	346	3	2h	2h	NUM
ma-142	346	4	(	(	PUNCT
ma-142	346	5	t	t	PROPN
ma-142	346	6	−σ2h	−σ2h	PROPN
ma-142	346	7	θ̃t	θ̃t	PROPN
ma-142	346	8	)	)	PUNCT
ma-142	346	9	1/2	1/2	NUM
ma-142	346	10	σ2hb0θx	σ2hb0θx	PROPN
ma-142	346	11	⇒	⇒	VERB
ma-142	346	12	2h	2h	NUM
ma-142	346	13	(	(	PUNCT
ma-142	346	14	t	t	PROPN
ma-142	346	15	−σ2h	−σ2h	PROPN
ma-142	346	16	θ̃t	θ̃t	PROPN
ma-142	346	17	)	)	PUNCT
ma-142	346	18	1/2	1/2	NUM
ma-142	346	19	(	(	PUNCT
ma-142	346	20	θ̃t	θ̃t	X
ma-142	346	21	−	−	PROPN
ma-142	346	22	θ)[it	θ)[it	PROPN
ma-142	346	23	−	−	PROPN
ma-142	346	24	b0	b0	PROPN
ma-142	346	25	t	t	PROPN
ma-142	346	26	(	(	PUNCT
ma-142	346	27	θt	θt	PROPN
ma-142	346	28	−	−	PROPN
ma-142	346	29	θ	θ	PROPN
ma-142	346	30	)	)	PUNCT
ma-142	346	31	]	]	PUNCT
ma-142	346	32	>	>	X
ma-142	346	33	x	x	PUNCT
ma-142	346	34	it	it	NOUN
ma-142	346	35	−	−	NOUN
ma-142	346	36	2h	2h	NUM
ma-142	346	37	(	(	PUNCT
ma-142	346	38	t	t	PROPN
ma-142	346	39	−σ2h	−σ2h	PROPN
ma-142	346	40	θ̃t	θ̃t	PROPN
ma-142	346	41	)	)	PUNCT
ma-142	346	42	1/2	1/2	NUM
ma-142	346	43	2b0θx	2b0θx	NUM
ma-142	346	44			NOUN
ma-142	346	45	⇒	⇒	NOUN
ma-142	346	46	(	(	PUNCT
ma-142	346	47	θ̃t	θ̃t	X
ma-142	346	48	−	−	PROPN
ma-142	347	1	θ)it	θ)it	PROPN
ma-142	347	2	−	−	PROPN
ma-142	347	3	b0	b0	PROPN
ma-142	347	4	t	t	PROPN
ma-142	347	5	(	(	PUNCT
ma-142	347	6	θ̃t	θ̃t	X
ma-142	347	7	−	−	PROPN
ma-142	347	8	θ)2	θ)2	NOUN
ma-142	347	9	>	>	X
ma-142	348	1	(	(	PUNCT
ma-142	348	2	−σ2hθ	−σ2hθ	NUM
ma-142	348	3	4th2	4th2	NUM
ma-142	348	4	)	)	PUNCT
ma-142	348	5	1/2	1/2	NUM
ma-142	348	6	it	it	PRON
ma-142	348	7	x	x	PUNCT
ma-142	348	8	−	−	ADP
ma-142	348	9	σ2hb0θx2	σ2hb0θx2	VERB
ma-142	348	10	⇒	⇒	NOUN
ma-142	348	11	−nt	−nt	PROPN
ma-142	349	1	+	+	CCONJ
ma-142	349	2	(	(	PUNCT
ma-142	349	3	θ̃t	θ̃t	X
ma-142	349	4	−	−	PROPN
ma-142	349	5	θ)it	θ)it	PROPN
ma-142	349	6	−	−	PROPN
ma-142	349	7	b0	b0	PROPN
ma-142	349	8	t	t	PROPN
ma-142	349	9	(	(	PUNCT
ma-142	349	10	θt	θt	PROPN
ma-142	349	11	−	−	PROPN
ma-142	349	12	θ)2	θ)2	PROPN
ma-142	349	13	>	>	X
ma-142	349	14	−nt	−nt	PROPN
ma-142	350	1	+	+	CCONJ
ma-142	350	2	(	(	PUNCT
ma-142	350	3	−σ2hθ	−σ2hθ	NUM
ma-142	350	4	4th2	4th2	NUM
ma-142	350	5	)	)	PUNCT
ma-142	350	6	1/2	1/2	NUM
ma-142	350	7	it	it	PRON
ma-142	350	8	x	x	PUNCT
ma-142	350	9	−	−	ADP
ma-142	350	10	σ2hb0θx2	σ2hb0θx2	NUM
ma-142	350	11	⇒	⇒	NOUN
ma-142	350	12	0	0	NUM
ma-142	350	13	>	>	X
ma-142	350	14	−nt	−nt	PROPN
ma-142	351	1	+	+	CCONJ
ma-142	351	2	(	(	PUNCT
ma-142	351	3	−σ2hθ	−σ2hθ	NUM
ma-142	351	4	4th2	4th2	NUM
ma-142	351	5	)	)	PUNCT
ma-142	351	6	1/2	1/2	NUM
ma-142	351	7	it	it	PRON
ma-142	351	8	x	x	PUNCT
ma-142	351	9	−	−	PROPN
ma-142	351	10	σ2hb0θx2	σ2hb0θx2	ADJ
ma-142	351	11	since	since	SCONJ
ma-142	351	12	it	it	PRON
ma-142	351	13	−	−	PROPN
ma-142	351	14	b0	b0	PROPN
ma-142	351	15	t	t	PROPN
ma-142	351	16	(	(	PUNCT
ma-142	351	17	θ̃t	θ̃t	X
ma-142	351	18	−	−	PROPN
ma-142	351	19	θ	θ	NOUN
ma-142	351	20	)	)	PUNCT
ma-142	351	21	>	>	X
ma-142	352	1	tc0	tc0	X
ma-142	353	1	−	−	PROPN
ma-142	353	2	b0	b0	PROPN
ma-142	353	3	t	t	PROPN
ma-142	353	4	(	(	PUNCT
ma-142	353	5	θ̃t	θ̃t	X
ma-142	353	6	−	−	PROPN
ma-142	353	7	θ	θ	NOUN
ma-142	353	8	)	)	PUNCT
ma-142	353	9	>	>	X
ma-142	353	10	2σ2hb0(logt	2σ2hb0(logt	NUM
ma-142	353	11	)	)	PUNCT
ma-142	353	12	1/2	1/2	NUM
ma-142	353	13	(	(	PUNCT
ma-142	353	14	−σ2hθ	−σ2hθ	NUM
ma-142	353	15	4th2	4th2	NUM
ma-142	354	1	)	)	PUNCT
ma-142	354	2	1/2	1/2	NUM
ma-142	354	3	−	−	NOUN
ma-142	354	4	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	354	5	)	)	PUNCT
ma-142	354	6	1/2	1/2	NUM
ma-142	354	7	(	(	PUNCT
ma-142	354	8	−σ2hθ	−σ2hθ	NUM
ma-142	354	9	4th2	4th2	NUM
ma-142	354	10	)	)	PUNCT
ma-142	354	11	1/2	1/2	NUM
ma-142	354	12	=	=	SYM
ma-142	354	13	σ2hb0(logt	σ2hb0(logt	NUM
ma-142	354	14	)	)	PUNCT
ma-142	354	15	1/2	1/2	NUM
ma-142	354	16	(	(	PUNCT
ma-142	354	17	−σ2hθ	−σ2hθ	NUM
ma-142	354	18	4th2	4th2	NUM
ma-142	354	19	)	)	PUNCT
ma-142	354	20	1/2	1/2	NUM
ma-142	354	21	>	>	X
ma-142	354	22	0	0	X
ma-142	354	23	.	.	PUNCT
ma-142	355	1	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	355	2	eur	eur	PROPN
ma-142	355	3	.	.	PUNCT
ma-142	356	1	j.	j.	PROPN
ma-142	356	2	math	math	PROPN
ma-142	356	3	.	.	PUNCT
ma-142	357	1	anal	anal	PROPN
ma-142	357	2	.	.	PUNCT
ma-142	358	1	10.28924	10.28924	NUM
ma-142	358	2	/	/	SYM
ma-142	358	3	ada	ada	NOUN
ma-142	358	4	/	/	SYM
ma-142	358	5	ma.3.14	ma.3.14	NOUN
ma-142	359	1	16hence	16hence	NOUN
ma-142	359	2	0	0	PUNCT
ma-142	360	1	<	<	X
ma-142	360	2	−nt	−nt	PROPN
ma-142	361	1	+	+	CCONJ
ma-142	361	2	(	(	PUNCT
ma-142	361	3	−σ2hθ	−σ2hθ	NUM
ma-142	361	4	4th2	4th2	NUM
ma-142	361	5	)	)	PUNCT
ma-142	361	6	1/2	1/2	NUM
ma-142	361	7	it	it	PRON
ma-142	361	8	x	x	PUNCT
ma-142	361	9	−	−	ADP
ma-142	361	10	σ2hb0θx2	σ2hb0θx2	NUM
ma-142	361	11	⇒	⇒	NOUN
ma-142	361	12	2h	2h	NUM
ma-142	361	13	(	(	PUNCT
ma-142	361	14	t	t	PROPN
ma-142	361	15	−σ2h	−σ2h	PROPN
ma-142	361	16	θ̃t	θ̃t	PROPN
ma-142	361	17	)	)	PUNCT
ma-142	361	18	1/2(θt	1/2(θt	NUM
ma-142	361	19	−	−	PROPN
ma-142	361	20	θ	θ	PROPN
ma-142	361	21	)	)	PUNCT
ma-142	361	22	≤	≤	NOUN
ma-142	361	23	x.	x.	NOUN
ma-142	361	24	letting	let	VERB
ma-142	361	25	d±1,t	d±1,t	NOUN
ma-142	361	26	,	,	PUNCT
ma-142	361	27	x	x	X
ma-142	361	28	:	:	PUNCT
ma-142	361	29	=	=	SYM
ma-142	361	30	{	{	PUNCT
ma-142	361	31	−nt	−nt	PROPN
ma-142	361	32	+	+	CCONJ
ma-142	361	33	(	(	PUNCT
ma-142	361	34	−σ2hθ	−σ2hθ	NUM
ma-142	361	35	4th2	4th2	NUM
ma-142	361	36	)	)	PUNCT
ma-142	361	37	1/2	1/2	NUM
ma-142	361	38	it	it	PRON
ma-142	361	39	x	x	SYM
ma-142	361	40	±	±	NUM
ma-142	361	41	σ2hb0θx2	σ2hb0θx2	NOUN
ma-142	361	42	>	>	X
ma-142	361	43	0	0	NUM
ma-142	361	44	}	}	PUNCT
ma-142	361	45	,	,	PUNCT
ma-142	361	46	we	we	PRON
ma-142	361	47	obtain	obtain	VERB
ma-142	361	48	d−1,t	d−1,t	NOUN
ma-142	361	49	,	,	PUNCT
ma-142	361	50	x	x	X
ma-142	361	51	∩	∩	VERB
ma-142	361	52	a1,t	a1,t	PROPN
ma-142	361	53	∩b1,t	∩b1,t	PRON
ma-142	361	54	⊆	⊆	NUM
ma-142	361	55	a1,t	a1,t	PROPN
ma-142	361	56	∩b1,t	∩b1,t	DET
ma-142	361	57	∩	∩	NOUN
ma-142	361	58	2h	2h	PROPN
ma-142	361	59	(	(	PUNCT
ma-142	361	60	t	t	PROPN
ma-142	361	61	−σ2h	−σ2h	PROPN
ma-142	361	62	θ̃t	θ̃t	PROPN
ma-142	361	63	)	)	PUNCT
ma-142	361	64	1/2	1/2	NUM
ma-142	361	65	(	(	PUNCT
ma-142	361	66	θ̃t	θ̃t	X
ma-142	361	67	−	−	NUM
ma-142	361	68	θ	θ	NOUN
ma-142	361	69	)	)	PUNCT
ma-142	361	70	≤	≤	NOUN
ma-142	361	71	x	x	PUNCT
ma-142	362	1			NOUN
ma-142	362	2	⊆	⊆	NUM
ma-142	362	3	d+1,t	d+1,t	PROPN
ma-142	362	4	,	,	PUNCT
ma-142	362	5	x	x	X
ma-142	362	6	∩	∩	VERB
ma-142	362	7	a1,t	a1,t	PROPN
ma-142	362	8	∩b1,t	∩b1,t	ADV
ma-142	362	9	.	.	PUNCT
ma-142	363	1	(	(	PUNCT
ma-142	363	2	2.20)if	2.20)if	NOUN
ma-142	363	3	it	it	PRON
ma-142	363	4	is	be	AUX
ma-142	363	5	shown	show	VERB
ma-142	363	6	that	that	SCONJ
ma-142	363	7	∣∣p	∣∣p	PROPN
ma-142	363	8	{	{	PUNCT
ma-142	363	9	d±1,t	d±1,t	NOUN
ma-142	363	10	,	,	PUNCT
ma-142	363	11	x}−φ(x	x}−φ(x	PROPN
ma-142	363	12	)	)	PUNCT
ma-142	363	13	∣∣	∣∣	PROPN
ma-142	363	14	≤	≤	PUNCT
ma-142	363	15	ct−1/4	ct−1/4	PROPN
ma-142	363	16	(	(	PUNCT
ma-142	363	17	2.21)for	2.21)for	NUM
ma-142	363	18	all	all	DET
ma-142	363	19	t	t	PROPN
ma-142	363	20	>	>	X
ma-142	363	21	t0	t0	PROPN
ma-142	363	22	and	and	CCONJ
ma-142	363	23	|x	|x	NOUN
ma-142	363	24	|	|	ADV
ma-142	363	25	≤	≤	NUM
ma-142	363	26	2(logt	2(logt	NUM
ma-142	363	27	)	)	PUNCT
ma-142	363	28	1/2	1/2	NUM
ma-142	363	29	,	,	PUNCT
ma-142	363	30	then	then	ADV
ma-142	363	31	the	the	DET
ma-142	363	32	theorem	theorem	NOUN
ma-142	363	33	would	would	AUX
ma-142	363	34	follow	follow	VERB
ma-142	363	35	from	from	ADP
ma-142	363	36	(	(	PUNCT
ma-142	363	37	2.18	2.18	NUM
ma-142	363	38	)	)	PUNCT
ma-142	363	39	(	(	PUNCT
ma-142	363	40	2.21).we	2.21).we	NOUN
ma-142	363	41	shall	shall	AUX
ma-142	363	42	prove	prove	VERB
ma-142	363	43	(	(	PUNCT
ma-142	363	44	2.21	2.21	NUM
ma-142	363	45	)	)	PUNCT
ma-142	363	46	for	for	ADP
ma-142	363	47	d+1,t	d+1,t	PROPN
ma-142	363	48	,	,	PUNCT
ma-142	363	49	x	x	X
ma-142	363	50	.	.	PUNCT
ma-142	364	1	the	the	DET
ma-142	364	2	proof	proof	NOUN
ma-142	364	3	for	for	ADP
ma-142	364	4	d−1,t	d−1,t	NOUN
ma-142	364	5	,	,	PUNCT
ma-142	364	6	x	x	PUNCT
ma-142	364	7	is	be	AUX
ma-142	364	8	analogous.observe	analogous.observe	NOUN
ma-142	364	9	that∣∣∣p	that∣∣∣p	PROPN
ma-142	364	10	{	{	PUNCT
ma-142	364	11	d+1,t	d+1,t	PROPN
ma-142	364	12	,	,	PUNCT
ma-142	364	13	x}−φ(x	x}−φ(x	ADJ
ma-142	364	14	)	)	PUNCT
ma-142	364	15	∣∣∣	∣∣∣	NOUN
ma-142	364	16	=	=	SYM
ma-142	364	17	∣∣∣∣∣p	∣∣∣∣∣p	PROPN
ma-142	364	18	{	{	PUNCT
ma-142	364	19	(	(	PUNCT
ma-142	364	20	−σ2hθ	−σ2hθ	NUM
ma-142	364	21	4th2	4th2	NUM
ma-142	364	22	)	)	PUNCT
ma-142	364	23	1/2	1/2	NUM
ma-142	364	24	nt	not	PART
ma-142	364	25	−	−	PROPN
ma-142	364	26	(	(	PUNCT
ma-142	364	27	(	(	PUNCT
ma-142	364	28	−σ2hθ	−σ2hθ	NUM
ma-142	364	29	4th2	4th2	NUM
ma-142	364	30	)	)	PUNCT
ma-142	365	1	it	it	PRON
ma-142	365	2	−	−	NOUN
ma-142	365	3	1	1	NUM
ma-142	365	4	)	)	PUNCT
ma-142	365	5	x	x	X
ma-142	366	1	<	<	X
ma-142	366	2	x	x	X
ma-142	367	1	+	+	NUM
ma-142	367	2	2	2	NUM
ma-142	367	3	(	(	PUNCT
ma-142	367	4	−σ2hθ	−σ2hθ	NUM
ma-142	367	5	4th2	4th2	NUM
ma-142	367	6	)	)	PUNCT
ma-142	367	7	1/2	1/2	NUM
ma-142	367	8	b0θx	b0θx	SYM
ma-142	367	9	2	2	NUM
ma-142	367	10	}	}	PUNCT
ma-142	367	11	−φ(x	−φ(x	NOUN
ma-142	367	12	)	)	PUNCT
ma-142	367	13	∣∣∣∣∣	∣∣∣∣∣	ADP
ma-142	367	14	≤	≤	NUM
ma-142	367	15	sup	sup	NOUN
ma-142	367	16	y∈r	y∈r	NOUN
ma-142	367	17	∣∣∣∣∣p	∣∣∣∣∣p	ADP
ma-142	367	18	{	{	PUNCT
ma-142	367	19	(	(	PUNCT
ma-142	367	20	−σ2hθ	−σ2hθ	NUM
ma-142	367	21	4th2	4th2	NUM
ma-142	367	22	)	)	PUNCT
ma-142	367	23	1/2	1/2	NUM
ma-142	367	24	nt	not	PART
ma-142	367	25	−	−	PROPN
ma-142	367	26	(	(	PUNCT
ma-142	367	27	(	(	PUNCT
ma-142	367	28	−σ2hθ	−σ2hθ	NUM
ma-142	367	29	4th2	4th2	NUM
ma-142	367	30	)	)	PUNCT
ma-142	368	1	it	it	PRON
ma-142	368	2	−	−	NOUN
ma-142	368	3	1	1	NUM
ma-142	368	4	)	)	PUNCT
ma-142	368	5	x	x	SYM
ma-142	368	6	≤	≤	ADV
ma-142	368	7	y	y	PROPN
ma-142	368	8	}	}	PUNCT
ma-142	368	9	−φ(y	−φ(y	VERB
ma-142	368	10	)	)	PUNCT
ma-142	368	11	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-142	369	1	+	+	CCONJ
ma-142	369	2	∣∣∣∣∣φ	∣∣∣∣∣φ	NOUN
ma-142	369	3	(	(	PUNCT
ma-142	369	4	x	x	SYM
ma-142	369	5	+	+	PUNCT
ma-142	369	6	(	(	PUNCT
ma-142	369	7	−σ2hθ	−σ2hθ	NUM
ma-142	369	8	4th2	4th2	NUM
ma-142	369	9	)	)	PUNCT
ma-142	369	10	1/2	1/2	NUM
ma-142	369	11	b0θx	b0θx	SYM
ma-142	369	12	2	2	NUM
ma-142	369	13	)	)	PUNCT
ma-142	369	14	−φ(x	−φ(x	NOUN
ma-142	369	15	)	)	PUNCT
ma-142	369	16	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-142	370	1	=	=	SYM
ma-142	370	2	:	:	PUNCT
ma-142	370	3	∆11	∆11	X
ma-142	370	4	+	+	CCONJ
ma-142	370	5	∆12	∆12	NOUN
ma-142	370	6	.	.	PUNCT
ma-142	370	7	(	(	PUNCT
ma-142	370	8	2.22)(1.53	2.22)(1.53	NOUN
ma-142	370	9	)	)	PUNCT
ma-142	370	10	immediately	immediately	ADV
ma-142	370	11	yields	yield	VERB
ma-142	370	12	∆11	∆11	NOUN
ma-142	370	13	≤	≤	ADV
ma-142	370	14	ct−1/4	ct−1/4	PROPN
ma-142	370	15	.	.	PUNCT
ma-142	371	1	(	(	PUNCT
ma-142	371	2	2.23)on	2.23)on	NUM
ma-142	371	3	the	the	DET
ma-142	371	4	other	other	ADJ
ma-142	371	5	hand	hand	NOUN
ma-142	371	6	,	,	PUNCT
ma-142	371	7	for	for	ADP
ma-142	371	8	all	all	DET
ma-142	371	9	t	t	PROPN
ma-142	371	10	>	>	X
ma-142	371	11	t0	t0	PROPN
ma-142	371	12	,	,	PUNCT
ma-142	371	13	∆12	∆12	ADJ
ma-142	371	14	≤	≤	ADV
ma-142	371	15	2	2	NUM
ma-142	371	16	(	(	PUNCT
ma-142	371	17	−σ2hθ	−σ2hθ	NUM
ma-142	371	18	4th2	4th2	NUM
ma-142	371	19	)	)	PUNCT
ma-142	371	20	1/2	1/2	NUM
ma-142	371	21	b0θx	b0θx	NUM
ma-142	371	22	2(2π)−1/2	2(2π)−1/2	NUM
ma-142	371	23	exp(−x2/2	exp(−x2/2	NOUN
ma-142	371	24	)	)	PUNCT
ma-142	372	1	where	where	SCONJ
ma-142	372	2	|x	|x	PUNCT
ma-142	372	3	−	−	NOUN
ma-142	372	4	x	x	SYM
ma-142	372	5	|	|	ADV
ma-142	372	6	≤	≤	ADJ
ma-142	372	7	2	2	NUM
ma-142	372	8	(	(	PUNCT
ma-142	372	9	−σ2hθ	−σ2hθ	NUM
ma-142	372	10	4th2	4th2	NUM
ma-142	372	11	)	)	PUNCT
ma-142	372	12	1/2	1/2	NUM
ma-142	372	13	b0θx	b0θx	PUNCT
ma-142	372	14	2	2	NUM
ma-142	372	15	.	.	PUNCT
ma-142	373	1	since	since	SCONJ
ma-142	373	2	|x	|x	NOUN
ma-142	373	3	|	|	ADV
ma-142	373	4	≤	≤	NUM
ma-142	373	5	2(logt	2(logt	NUM
ma-142	373	6	)	)	PUNCT
ma-142	373	7	1/2	1/2	NUM
ma-142	373	8	,	,	PUNCT
ma-142	373	9	it	it	PRON
ma-142	373	10	follows	follow	VERB
ma-142	373	11	that	that	DET
ma-142	373	12	|x̄	|x̄	NOUN
ma-142	373	13	|	|	ADV
ma-142	373	14	>	>	X
ma-142	373	15	|x	|x	NOUN
ma-142	373	16	|/2	|/2	VERB
ma-142	373	17	for	for	ADP
ma-142	373	18	all	all	DET
ma-142	373	19	t	t	PROPN
ma-142	373	20	>	>	X
ma-142	373	21	t0	t0	PROPN
ma-142	373	22	and	and	CCONJ
ma-142	373	23	consequently	consequently	ADV
ma-142	373	24	∆12	∆12	VERB
ma-142	373	25	≤	≤	ADV
ma-142	373	26	2	2	NUM
ma-142	373	27	(	(	PUNCT
ma-142	373	28	−σ2hθ	−σ2hθ	NUM
ma-142	373	29	4th2	4th2	NUM
ma-142	373	30	)	)	PUNCT
ma-142	373	31	1/2	1/2	NUM
ma-142	373	32	b0θx	b0θx	PUNCT
ma-142	373	33	2(2π)−1/2x2	2(2π)−1/2x2	NUM
ma-142	373	34	exp(−x2/8	exp(−x2/8	NOUN
ma-142	373	35	)	)	PUNCT
ma-142	373	36	≤	≤	PUNCT
ma-142	374	1	ct−1/4	ct−1/4	PROPN
ma-142	374	2	.	.	PUNCT
ma-142	375	1	(	(	PUNCT
ma-142	375	2	2.24	2.24	NUM
ma-142	375	3	)	)	PUNCT
ma-142	375	4	from	from	ADP
ma-142	375	5	(	(	PUNCT
ma-142	375	6	2.12	2.12	NUM
ma-142	375	7	)	)	PUNCT
ma-142	375	8	(	(	PUNCT
ma-142	375	9	2.14	2.14	NUM
ma-142	375	10	)	)	PUNCT
ma-142	375	11	,	,	PUNCT
ma-142	375	12	we	we	PRON
ma-142	375	13	obtain	obtain	VERB
ma-142	375	14	∣∣p	∣∣p	PROPN
ma-142	375	15	{	{	PUNCT
ma-142	375	16	d+1,t	d+1,t	PROPN
ma-142	375	17	,	,	PUNCT
ma-142	375	18	x}−φ(x	x}−φ(x	PROPN
ma-142	375	19	)	)	PUNCT
ma-142	376	1	∣∣	∣∣	PROPN
ma-142	376	2	≤	≤	PUNCT
ma-142	376	3	ct−1/4	ct−1/4	PROPN
ma-142	376	4	.	.	PUNCT
ma-142	377	1	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
ma-142	377	2	eur	eur	PROPN
ma-142	377	3	.	.	PUNCT
ma-142	378	1	j.	j.	PROPN
ma-142	378	2	math	math	PROPN
ma-142	378	3	.	.	PUNCT
ma-142	379	1	anal	anal	PROPN
ma-142	379	2	.	.	PUNCT
ma-142	380	1	10.28924	10.28924	NUM
ma-142	380	2	/	/	SYM
ma-142	380	3	ada	ada	NOUN
ma-142	380	4	/	/	SYM
ma-142	380	5	ma.3.14	ma.3.14	NOUN
ma-142	380	6	17this	17this	NUM
ma-142	380	7	completes	complete	VERB
ma-142	380	8	the	the	DET
ma-142	380	9	proof	proof	NOUN
ma-142	380	10	of	of	ADP
ma-142	380	11	part	part	NOUN
ma-142	380	12	(	(	PUNCT
ma-142	380	13	c	c	NOUN
ma-142	380	14	)	)	PUNCT
ma-142	380	15	of	of	ADP
ma-142	380	16	the	the	DET
ma-142	380	17	theorem	theorem	NOUN
ma-142	380	18	.	.	PUNCT
ma-142	381	1	next	next	ADV
ma-142	381	2	we	we	PRON
ma-142	381	3	demonstrate	demonstrate	VERB
ma-142	381	4	the	the	DET
ma-142	381	5	proof	proof	NOUN
ma-142	381	6	of	of	ADP
ma-142	381	7	(	(	PUNCT
ma-142	381	8	b	b	NOUN
ma-142	381	9	)	)	PUNCT
ma-142	381	10	and	and	CCONJ
ma-142	381	11	(	(	PUNCT
ma-142	381	12	d).if	d).if	PROPN
ma-142	381	13	58	58	NUM
ma-142	381	14	<	<	X
ma-142	381	15	h	h	X
ma-142	381	16	<	<	X
ma-142	381	17	3	3	NUM
ma-142	381	18	4	4	NUM
ma-142	381	19	by	by	ADP
ma-142	381	20	following	follow	VERB
ma-142	381	21	similar	similar	ADJ
ma-142	381	22	steps	step	NOUN
ma-142	381	23	,	,	PUNCT
ma-142	381	24	one	one	PRON
ma-142	381	25	can	can	AUX
ma-142	381	26	show	show	VERB
ma-142	381	27	that	that	DET
ma-142	381	28	sup	sup	NOUN
ma-142	381	29	x∈r	x∈r	PROPN
ma-142	381	30	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	381	31			PUNCT
ma-142	381	32	(	(	PUNCT
ma-142	381	33	t	t	PROPN
ma-142	381	34	σ2h	σ2h	PROPN
ma-142	381	35	θ̃t	θ̃t	PROPN
ma-142	381	36	)	)	PUNCT
ma-142	381	37	1/2	1/2	NUM
ma-142	381	38	(	(	PUNCT
ma-142	381	39	θ̂t	θ̂t	X
ma-142	381	40	−	−	PROPN
ma-142	381	41	θ	θ	PROPN
ma-142	381	42	)	)	PUNCT
ma-142	381	43	≤	≤	NOUN
ma-142	381	44	x	x	PUNCT
ma-142	381	45	−φ(x	−φ(x	NOUN
ma-142	381	46	)	)	PUNCT
ma-142	381	47	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	381	48	≤	≤	NUM
ma-142	381	49	cθt	cθt	NOUN
ma-142	381	50	4h−3	4h−3	NUM
ma-142	381	51	.	.	PUNCT
ma-142	382	1	if	if	SCONJ
ma-142	382	2	1116	1116	NUM
ma-142	382	3	<	<	X
ma-142	382	4	h	h	X
ma-142	382	5	<	<	X
ma-142	382	6	3	3	NUM
ma-142	382	7	4	4	NUM
ma-142	382	8	by	by	ADP
ma-142	382	9	following	follow	VERB
ma-142	382	10	similar	similar	ADJ
ma-142	382	11	steps	step	NOUN
ma-142	382	12	,	,	PUNCT
ma-142	382	13	one	one	PRON
ma-142	382	14	can	can	AUX
ma-142	382	15	show	show	VERB
ma-142	382	16	that	that	DET
ma-142	382	17	sup	sup	NOUN
ma-142	382	18	x∈r	x∈r	PROPN
ma-142	382	19	∣∣∣∣∣∣p	∣∣∣∣∣∣p	PROPN
ma-142	383	1	2h	2h	PROPN
ma-142	383	2	(	(	PUNCT
ma-142	383	3	t	t	PROPN
ma-142	383	4	σ2h	σ2h	PROPN
ma-142	383	5	θ̃t	θ̃t	PROPN
ma-142	383	6	)	)	PUNCT
ma-142	383	7	1/2	1/2	NUM
ma-142	383	8	(	(	PUNCT
ma-142	383	9	θ̃t	θ̃t	X
ma-142	383	10	−	−	NUM
ma-142	383	11	θ	θ	NOUN
ma-142	383	12	)	)	PUNCT
ma-142	383	13	≤	≤	NOUN
ma-142	383	14	x	x	PUNCT
ma-142	383	15	−φ(x	−φ(x	NOUN
ma-142	383	16	)	)	PUNCT
ma-142	383	17	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ma-142	383	18	≤	≤	NUM
ma-142	383	19	cθt	cθt	NOUN
ma-142	383	20	4h−3.this	4h−3.this	PROPN
ma-142	383	21	completes	complete	VERB
ma-142	383	22	the	the	DET
ma-142	383	23	proof	proof	NOUN
ma-142	383	24	of	of	ADP
ma-142	383	25	the	the	DET
ma-142	383	26	theorem	theorem	NOUN
ma-142	383	27	.	.	PROPN
ma-142	383	28	concluding	conclude	VERB
ma-142	383	29	remark	remark	NOUN
ma-142	383	30	for	for	ADP
ma-142	383	31	the	the	DET
ma-142	383	32	case	case	NOUN
ma-142	383	33	12	12	NUM
ma-142	383	34	≤	≤	NUM
ma-142	383	35	h	h	NOUN
ma-142	383	36	≤	≤	NUM
ma-142	383	37	5	5	NUM
ma-142	383	38	8	8	NUM
ma-142	383	39	,	,	PUNCT
ma-142	383	40	our	our	PRON
ma-142	383	41	rate	rate	NOUN
ma-142	383	42	is	be	AUX
ma-142	383	43	o(t−1/2	o(t−1/2	ADJ
ma-142	383	44	)	)	PUNCT
ma-142	383	45	is	be	AUX
ma-142	383	46	optimal	optimal	ADJ
ma-142	383	47	.	.	PUNCT
ma-142	384	1	references	reference	NOUN
ma-142	384	2	[	[	X
ma-142	384	3	1	1	NUM
ma-142	384	4	]	]	PUNCT
ma-142	384	5	j.p.n	j.p.n	PROPN
ma-142	384	6	.	.	PROPN
ma-142	384	7	bishwal	bishwal	PROPN
ma-142	384	8	,	,	PUNCT
ma-142	384	9	parameter	parameter	NOUN
ma-142	384	10	estimation	estimation	NOUN
ma-142	384	11	in	in	ADP
ma-142	384	12	stochastic	stochastic	ADJ
ma-142	384	13	differential	differential	ADJ
ma-142	384	14	equations	equation	NOUN
ma-142	384	15	,	,	PUNCT
ma-142	384	16	springer	springer	NOUN
ma-142	384	17	-	-	PUNCT
ma-142	384	18	verlag	verlag	PROPN
ma-142	384	19	,	,	PUNCT
ma-142	384	20	berlin	berlin	PROPN
ma-142	384	21	,	,	PUNCT
ma-142	384	22	(	(	PUNCT
ma-142	384	23	2008).[2	2008).[2	NOUN
ma-142	384	24	]	]	X
ma-142	384	25	j.p.n	j.p.n	PROPN
ma-142	384	26	.	.	PROPN
ma-142	384	27	bishwal	bishwal	NOUN
ma-142	384	28	,	,	PUNCT
ma-142	384	29	minimum	minimum	ADJ
ma-142	384	30	contrast	contrast	NOUN
ma-142	384	31	estimation	estimation	NOUN
ma-142	384	32	in	in	ADP
ma-142	384	33	fractional	fractional	PROPN
ma-142	384	34	ornstein	ornstein	PROPN
ma-142	384	35	-	-	PUNCT
ma-142	384	36	uhlenbeck	uhlenbeck	PROPN
ma-142	384	37	process	process	NOUN
ma-142	384	38	:	:	PUNCT
ma-142	384	39	continuous	continuous	ADJ
ma-142	384	40	and	and	CCONJ
ma-142	384	41	discretesampling	discretesampling	ADJ
ma-142	384	42	,	,	PUNCT
ma-142	384	43	fract	fract	NOUN
ma-142	384	44	.	.	PUNCT
ma-142	385	1	calc	calc	PROPN
ma-142	385	2	.	.	PUNCT
ma-142	386	1	appl	appl	PROPN
ma-142	386	2	.	.	PUNCT
ma-142	387	1	anal	anal	PROPN
ma-142	387	2	.	.	PUNCT
ma-142	388	1	14	14	NUM
ma-142	388	2	(	(	PUNCT
ma-142	388	3	2011	2011	NUM
ma-142	388	4	)	)	PUNCT
ma-142	389	1	375–410	375–410	NUM
ma-142	389	2	.	.	PUNCT
ma-142	390	1	https://doi.org/10.2478/s13540-011-0024-6.[3	https://doi.org/10.2478/s13540-011-0024-6.[3	PROPN
ma-142	390	2	]	]	SYM
ma-142	390	3	j.p.n	j.p.n	PROPN
ma-142	390	4	.	.	PROPN
ma-142	390	5	bishwal	bishwal	PROPN
ma-142	390	6	,	,	PUNCT
ma-142	390	7	maximum	maximum	ADJ
ma-142	390	8	quasi	quasi	ADJ
ma-142	390	9	-	-	ADJ
ma-142	390	10	likelihood	likelihood	ADJ
ma-142	390	11	estimation	estimation	NOUN
ma-142	390	12	in	in	ADP
ma-142	390	13	fractional	fractional	ADJ
ma-142	390	14	levy	levy	NOUN
ma-142	390	15	stochastic	stochastic	ADJ
ma-142	390	16	volatility	volatility	NOUN
ma-142	390	17	model	model	NOUN
ma-142	390	18	,	,	PUNCT
ma-142	390	19	j.	j.	PROPN
ma-142	390	20	math	math	PROPN
ma-142	390	21	.	.	PUNCT
ma-142	391	1	finance.1	finance.1	PROPN
ma-142	391	2	(	(	PUNCT
ma-142	391	3	2011	2011	NUM
ma-142	391	4	)	)	PUNCT
ma-142	392	1	58–62	58–62	NUM
ma-142	392	2	.	.	PUNCT
ma-142	393	1	https://doi.org/10.4236/jmf.2011.13008.[4	https://doi.org/10.4236/jmf.2011.13008.[4	NOUN
ma-142	393	2	]	]	PUNCT
ma-142	393	3	j.p.n	j.p.n	PROPN
ma-142	393	4	.	.	PROPN
ma-142	393	5	bishwal	bishwal	PROPN
ma-142	393	6	,	,	PUNCT
ma-142	393	7	sufficiency	sufficiency	NOUN
ma-142	393	8	and	and	CCONJ
ma-142	393	9	rao	rao	NOUN
ma-142	393	10	-	-	PUNCT
ma-142	393	11	blackwellization	blackwellization	NOUN
ma-142	393	12	of	of	ADP
ma-142	393	13	vasicek	vasicek	PROPN
ma-142	393	14	model	model	NOUN
ma-142	393	15	,	,	PUNCT
ma-142	393	16	theory	theory	NOUN
ma-142	393	17	stoch	stoch	NOUN
ma-142	393	18	.	.	PUNCT
ma-142	394	1	processes	process	NOUN
ma-142	394	2	.	.	PUNCT
ma-142	395	1	17	17	NUM
ma-142	395	2	(	(	PUNCT
ma-142	395	3	2011	2011	NUM
ma-142	395	4	)	)	PUNCT
ma-142	395	5	12	12	NUM
ma-142	395	6	-	-	SYM
ma-142	395	7	15.[5	15.[5	NUM
ma-142	395	8	]	]	PUNCT
ma-142	395	9	j.p.n	j.p.n	PROPN
ma-142	395	10	.	.	PROPN
ma-142	395	11	bishwal	bishwal	PROPN
ma-142	395	12	,	,	PUNCT
ma-142	395	13	berry	berry	NOUN
ma-142	395	14	–	–	PUNCT
ma-142	395	15	esseen	esseen	PROPN
ma-142	395	16	inequalities	inequality	NOUN
ma-142	395	17	for	for	ADP
ma-142	395	18	the	the	DET
ma-142	395	19	fractional	fractional	ADJ
ma-142	395	20	black	black	ADJ
ma-142	395	21	–	–	PUNCT
ma-142	395	22	karasinski	karasinski	NOUN
ma-142	395	23	model	model	NOUN
ma-142	395	24	of	of	ADP
ma-142	395	25	term	term	NOUN
ma-142	395	26	structure	structure	NOUN
ma-142	395	27	of	of	ADP
ma-142	395	28	interestrates	interestrate	NOUN
ma-142	395	29	,	,	PUNCT
ma-142	395	30	monte	monte	PROPN
ma-142	395	31	carlo	carlo	PROPN
ma-142	395	32	methods	method	NOUN
ma-142	395	33	appl	appl	PROPN
ma-142	395	34	.	.	PUNCT
ma-142	395	35	28	28	NUM
ma-142	395	36	(	(	PUNCT
ma-142	395	37	2022	2022	NUM
ma-142	395	38	)	)	PUNCT
ma-142	395	39	111–124	111–124	NUM
ma-142	395	40	.	.	PUNCT
ma-142	395	41	https://doi.org/10.1515/mcma-2022-2111.[6	https://doi.org/10.1515/mcma-2022-2111.[6	PROPN
ma-142	395	42	]	]	PUNCT
ma-142	395	43	j.p.n	j.p.n	PROPN
ma-142	395	44	.	.	PROPN
ma-142	395	45	bishwal	bishwal	PROPN
ma-142	395	46	,	,	PUNCT
ma-142	395	47	parameter	parameter	NOUN
ma-142	395	48	estimation	estimation	NOUN
ma-142	395	49	in	in	ADP
ma-142	395	50	stochastic	stochastic	ADJ
ma-142	395	51	volatility	volatility	NOUN
ma-142	395	52	models	model	NOUN
ma-142	395	53	,	,	PUNCT
ma-142	395	54	springer	springer	NOUN
ma-142	395	55	nature	nature	NOUN
ma-142	395	56	,	,	PUNCT
ma-142	395	57	cham	cham	PROPN
ma-142	395	58	.	.	PUNCT
ma-142	396	1	(	(	PUNCT
ma-142	396	2	2022).[7	2022).[7	X
ma-142	396	3	]	]	X
ma-142	396	4	k.	k.	PROPN
ma-142	396	5	es	es	PROPN
ma-142	396	6	-	-	PUNCT
ma-142	396	7	sebaiy	sebaiy	NOUN
ma-142	396	8	,	,	PUNCT
ma-142	396	9	f.g	f.g	NOUN
ma-142	396	10	.	.	PROPN
ma-142	396	11	viens	viens	PROPN
ma-142	396	12	,	,	PUNCT
ma-142	396	13	optimal	optimal	ADJ
ma-142	396	14	rates	rate	NOUN
ma-142	396	15	for	for	ADP
ma-142	396	16	parameter	parameter	NOUN
ma-142	396	17	estimation	estimation	NOUN
ma-142	396	18	of	of	ADP
ma-142	396	19	stationary	stationary	ADJ
ma-142	396	20	gaussian	gaussian	ADJ
ma-142	396	21	processes	process	NOUN
ma-142	396	22	,	,	PUNCT
ma-142	396	23	stoch	stoch	NOUN
ma-142	396	24	.	.	PUNCT
ma-142	397	1	processesappl	processesappl	NOUN
ma-142	397	2	.	.	PUNCT
ma-142	398	1	129	129	NUM
ma-142	398	2	(	(	PUNCT
ma-142	398	3	2019	2019	NUM
ma-142	398	4	)	)	PUNCT
ma-142	398	5	3018–3054	3018–3054	NUM
ma-142	398	6	.	.	PUNCT
ma-142	399	1	https://doi.org/10.1016/j.spa.2018.08.010.[8	https://doi.org/10.1016/j.spa.2018.08.010.[8	X
ma-142	399	2	]	]	PUNCT
ma-142	400	1	w.	w.	PROPN
ma-142	400	2	feller	feller	PROPN
ma-142	400	3	,	,	PUNCT
ma-142	400	4	an	an	DET
ma-142	400	5	introduction	introduction	NOUN
ma-142	400	6	to	to	ADP
ma-142	400	7	probability	probability	NOUN
ma-142	400	8	theory	theory	NOUN
ma-142	400	9	and	and	CCONJ
ma-142	400	10	its	its	PRON
ma-142	400	11	applications	application	NOUN
ma-142	400	12	,	,	PUNCT
ma-142	400	13	vol	vol	NOUN
ma-142	400	14	.	.	PUNCT
ma-142	401	1	i	i	PRON
ma-142	401	2	,	,	PUNCT
ma-142	401	3	wiley	wiley	PROPN
ma-142	401	4	,	,	PUNCT
ma-142	401	5	new	new	PROPN
ma-142	401	6	york	york	PROPN
ma-142	401	7	,	,	PUNCT
ma-142	401	8	(	(	PUNCT
ma-142	401	9	1957).[9	1957).[9	NUM
ma-142	401	10	]	]	X
ma-142	401	11	f.	f.	PROPN
ma-142	401	12	gao	gao	PROPN
ma-142	401	13	,	,	PUNCT
ma-142	401	14	h.	h.	PROPN
ma-142	401	15	jiang	jiang	PROPN
ma-142	401	16	,	,	PUNCT
ma-142	401	17	deviation	deviation	NOUN
ma-142	401	18	inequalities	inequality	NOUN
ma-142	401	19	and	and	CCONJ
ma-142	401	20	moderate	moderate	ADJ
ma-142	401	21	deviations	deviation	NOUN
ma-142	401	22	for	for	ADP
ma-142	401	23	estimators	estimator	NOUN
ma-142	401	24	of	of	ADP
ma-142	401	25	parameters	parameter	NOUN
ma-142	401	26	in	in	ADP
ma-142	401	27	an	an	DET
ma-142	401	28	ornstein	ornstein	ADJ
ma-142	401	29	-	-	PUNCT
ma-142	401	30	uhlenbeck	uhlenbeck	PROPN
ma-142	401	31	process	process	NOUN
ma-142	401	32	with	with	ADP
ma-142	401	33	linear	linear	PROPN
ma-142	401	34	drift	drift	NOUN
ma-142	401	35	,	,	PUNCT
ma-142	401	36	electron	electron	NOUN
ma-142	401	37	.	.	PUNCT
ma-142	402	1	commun	commun	PROPN
ma-142	402	2	.	.	PUNCT
ma-142	403	1	prob	prob	PROPN
ma-142	403	2	.	.	PUNCT
ma-142	404	1	14	14	NUM
ma-142	404	2	(	(	PUNCT
ma-142	404	3	2009	2009	NUM
ma-142	404	4	)	)	PUNCT
ma-142	404	5	210	210	NUM
ma-142	404	6	-	-	SYM
ma-142	404	7	220	220	NUM
ma-142	404	8	.	.	PUNCT
ma-142	405	1	https://doi.org/10.1214/	https://doi.org/10.1214/	NOUN
ma-142	405	2	ecp.v14	ecp.v14	PROPN
ma-142	405	3	-	-	SYM
ma-142	405	4	1466.[10	1466.[10	NUM
ma-142	405	5	]	]	X
ma-142	405	6	y.	y.	PROPN
ma-142	405	7	hu	hu	PROPN
ma-142	405	8	,	,	PUNCT
ma-142	405	9	d.	d.	PROPN
ma-142	405	10	nualart	nualart	PROPN
ma-142	405	11	,	,	PUNCT
ma-142	405	12	parameter	parameter	NOUN
ma-142	405	13	estimation	estimation	NOUN
ma-142	405	14	for	for	ADP
ma-142	405	15	fractional	fractional	ADJ
ma-142	405	16	ornstein	ornstein	PROPN
ma-142	405	17	-	-	PUNCT
ma-142	405	18	uhlenbeck	uhlenbeck	PROPN
ma-142	405	19	processes	process	NOUN
ma-142	405	20	,	,	PUNCT
ma-142	405	21	stat	stat	PROPN
ma-142	405	22	.	.	PUNCT
ma-142	406	1	prob	prob	PROPN
ma-142	406	2	.	.	PUNCT
ma-142	407	1	lett	lett	PROPN
ma-142	407	2	.	.	PROPN
ma-142	408	1	80	80	NUM
ma-142	408	2	(	(	PUNCT
ma-142	408	3	2010)1030	2010)1030	NOUN
ma-142	408	4	-	-	SYM
ma-142	408	5	1083.[11	1083.[11	NUM
ma-142	408	6	]	]	X
ma-142	408	7	y.	y.	PROPN
ma-142	408	8	hu	hu	PROPN
ma-142	408	9	,	,	PUNCT
ma-142	408	10	d.	d.	PROPN
ma-142	408	11	nualart	nualart	PROPN
ma-142	408	12	,	,	PUNCT
ma-142	408	13	h.	h.	PROPN
ma-142	408	14	zhou	zhou	PROPN
ma-142	408	15	,	,	PUNCT
ma-142	408	16	parameter	parameter	NOUN
ma-142	408	17	estimation	estimation	NOUN
ma-142	408	18	for	for	ADP
ma-142	408	19	fractional	fractional	PROPN
ma-142	408	20	ornstein	ornstein	PROPN
ma-142	408	21	–	–	PUNCT
ma-142	408	22	uhlenbeck	uhlenbeck	NOUN
ma-142	408	23	processes	process	NOUN
ma-142	408	24	of	of	ADP
ma-142	408	25	general	general	ADJ
ma-142	408	26	hurstparameter	hurstparameter	NOUN
ma-142	408	27	,	,	PUNCT
ma-142	408	28	stat	stat	PROPN
ma-142	408	29	.	.	PUNCT
ma-142	408	30	inference	inference	NOUN
ma-142	408	31	stoch	stoch	PROPN
ma-142	408	32	.	.	PUNCT
ma-142	408	33	process	process	NOUN
ma-142	408	34	.	.	PUNCT
ma-142	409	1	22	22	NUM
ma-142	409	2	(	(	PUNCT
ma-142	409	3	2017	2017	NUM
ma-142	409	4	)	)	PUNCT
ma-142	409	5	111–142	111–142	NUM
ma-142	409	6	.	.	PUNCT
ma-142	410	1	https://doi.org/10.1007/s11203-017-9168-2.[12	https://doi.org/10.1007/s11203-017-9168-2.[12	PROPN
ma-142	410	2	]	]	X
ma-142	410	3	h.	h.	PROPN
ma-142	410	4	jiang	jiang	PROPN
ma-142	410	5	,	,	PUNCT
ma-142	410	6	j.	j.	PROPN
ma-142	410	7	liu	liu	PROPN
ma-142	410	8	,	,	PUNCT
ma-142	410	9	s.	s.	PROPN
ma-142	410	10	wang	wang	PROPN
ma-142	410	11	,	,	PUNCT
ma-142	410	12	self	self	NOUN
ma-142	410	13	-	-	PUNCT
ma-142	410	14	normalized	normalize	VERB
ma-142	410	15	asymptotic	asymptotic	ADJ
ma-142	410	16	properties	property	NOUN
ma-142	410	17	for	for	ADP
ma-142	410	18	the	the	DET
ma-142	410	19	parameter	parameter	NOUN
ma-142	410	20	estimation	estimation	NOUN
ma-142	410	21	in	in	ADP
ma-142	410	22	fractional	fractional	ADJ
ma-142	410	23	orn	orn	PROPN
ma-142	410	24	-	-	PUNCT
ma-142	410	25	stein	stein	PROPN
ma-142	410	26	–	–	PUNCT
ma-142	410	27	uhlenbeck	uhlenbeck	NOUN
ma-142	410	28	process	process	NOUN
ma-142	410	29	,	,	PUNCT
ma-142	410	30	stoch	stoch	NOUN
ma-142	410	31	.	.	PUNCT
ma-142	411	1	dyn	dyn	PROPN
ma-142	411	2	.	.	PUNCT
ma-142	412	1	19	19	NUM
ma-142	412	2	(	(	PUNCT
ma-142	412	3	2019	2019	NUM
ma-142	412	4	)	)	PUNCT
ma-142	412	5	1950018	1950018	NUM
ma-142	412	6	.	.	PUNCT
ma-142	413	1	https://doi.org/10.1142/s0219493719500187.[13	https://doi.org/10.1142/s0219493719500187.[13	X
ma-142	413	2	]	]	X
ma-142	413	3	m.l	m.l	PROPN
ma-142	413	4	.	.	PROPN
ma-142	413	5	kleptsyna	kleptsyna	PROPN
ma-142	413	6	,	,	PUNCT
ma-142	413	7	a.	a.	PROPN
ma-142	413	8	le	le	PROPN
ma-142	413	9	breton	breton	PROPN
ma-142	413	10	,	,	PUNCT
ma-142	413	11	statistical	statistical	ADJ
ma-142	413	12	inference	inference	NOUN
ma-142	413	13	for	for	ADP
ma-142	413	14	stochastic	stochastic	ADJ
ma-142	413	15	processes	process	NOUN
ma-142	413	16	,	,	PUNCT
ma-142	413	17	stat	stat	PROPN
ma-142	413	18	.	.	PUNCT
ma-142	414	1	inference	inference	NOUN
ma-142	414	2	stoch	stoch	NOUN
ma-142	414	3	.	.	PUNCT
ma-142	415	1	processes	process	NOUN
ma-142	415	2	.	.	PUNCT
ma-142	416	1	5(2002	5(2002	NUM
ma-142	416	2	)	)	PUNCT
ma-142	417	1	229–248	229–248	NUM
ma-142	417	2	.	.	PUNCT
ma-142	418	1	https://doi.org/10.1023/a:1021220818545.[14	https://doi.org/10.1023/a:1021220818545.[14	PROPN
ma-142	418	2	]	]	X
ma-142	418	3	i.	i.	PROPN
ma-142	418	4	nourdin	nourdin	PROPN
ma-142	418	5	,	,	PUNCT
ma-142	418	6	g.	g.	PROPN
ma-142	418	7	peccati	peccati	PROPN
ma-142	418	8	,	,	PUNCT
ma-142	418	9	the	the	DET
ma-142	418	10	optimal	optimal	ADJ
ma-142	418	11	fourth	fourth	ADJ
ma-142	418	12	moment	moment	NOUN
ma-142	418	13	theorem	theorem	VERB
ma-142	418	14	,	,	PUNCT
ma-142	418	15	proc	proc	NOUN
ma-142	418	16	.	.	PUNCT
ma-142	419	1	amer	amer	PROPN
ma-142	419	2	.	.	PUNCT
ma-142	419	3	math	math	PROPN
ma-142	419	4	soc	soc	PROPN
ma-142	419	5	.	.	PUNCT
ma-142	420	1	143	143	NUM
ma-142	420	2	(	(	PUNCT
ma-142	420	3	2015	2015	NUM
ma-142	420	4	)	)	PUNCT
ma-142	420	5	3123	3123	NUM
ma-142	420	6	-	-	SYM
ma-142	420	7	3133.[15	3133.[15	PROPN
ma-142	420	8	]	]	PUNCT
ma-142	420	9	s.	s.	PROPN
ma-142	420	10	douissi	douissi	PROPN
ma-142	420	11	,	,	PUNCT
ma-142	420	12	k.	k.	PROPN
ma-142	420	13	es	es	PROPN
ma-142	420	14	-	-	PUNCT
ma-142	420	15	sebaiy	sebaiy	NOUN
ma-142	420	16	,	,	PUNCT
ma-142	420	17	f.	f.	PROPN
ma-142	420	18	g.	g.	PROPN
ma-142	420	19	viens	viens	PROPN
ma-142	420	20	,	,	PUNCT
ma-142	420	21	berry	berry	NOUN
ma-142	420	22	-	-	PUNCT
ma-142	420	23	esseen	esseen	VERB
ma-142	420	24	bounds	bound	NOUN
ma-142	420	25	for	for	ADP
ma-142	420	26	parameter	parameter	NOUN
ma-142	420	27	estimation	estimation	NOUN
ma-142	420	28	of	of	ADP
ma-142	420	29	general	general	ADJ
ma-142	420	30	gaussian	gaussian	NOUN
ma-142	420	31	processes	process	NOUN
ma-142	420	32	,	,	PUNCT
ma-142	420	33	alea	alea	PROPN
ma-142	420	34	.	.	PUNCT
ma-142	421	1	16	16	NUM
ma-142	421	2	(	(	PUNCT
ma-142	421	3	2019	2019	NUM
ma-142	421	4	)	)	PUNCT
ma-142	421	5	633	633	NUM
ma-142	421	6	.	.	PUNCT
ma-142	422	1	https://doi.org/10.30757/alea.v16-23	https://doi.org/10.30757/alea.v16-23	NOUN
ma-142	422	2	.	.	PUNCT
ma-142	423	1	https://doi.org/10.28924/ada/ma.3.14	https://doi.org/10.28924/ada/ma.3.14	PROPN
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ma-142	423	4	https://doi.org/10.1515/mcma-2022-2111	https://doi.org/10.1515/mcma-2022-2111	PROPN
ma-142	423	5	https://doi.org/10.1016/j.spa.2018.08.010	https://doi.org/10.1016/j.spa.2018.08.010	NOUN
ma-142	423	6	https://doi.org/10.1214/ecp.v14-1466	https://doi.org/10.1214/ecp.v14-1466	PROPN
ma-142	423	7	https://doi.org/10.1214/ecp.v14-1466	https://doi.org/10.1214/ecp.v14-1466	PROPN
ma-142	423	8	https://doi.org/10.1007/s11203-017-9168-2	https://doi.org/10.1007/s11203-017-9168-2	NUM
ma-142	423	9	https://doi.org/10.1142/s0219493719500187	https://doi.org/10.1142/s0219493719500187	NUM
ma-142	423	10	https://doi.org/10.1023/a:1021220818545	https://doi.org/10.1023/a:1021220818545	NOUN
ma-142	423	11	https://doi.org/10.30757/alea.v16-23	https://doi.org/10.30757/alea.v16-23	NOUN
ma-142	423	12	references	reference	NOUN