id	sid	tid	token	lemma	pos
ma-60	1	1	2022	2022	NUM
ma-60	1	2	ada	ada	PROPN
ma-60	1	3	academica	academica	PROPN
ma-60	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-60	1	5	.	.	PUNCT
ma-60	2	1	j.	j.	PROPN
ma-60	2	2	math	math	PROPN
ma-60	2	3	.	.	PUNCT
ma-60	3	1	anal	anal	ADJ
ma-60	3	2	.	.	PUNCT
ma-60	3	3	2	2	NUM
ma-60	3	4	(	(	PUNCT
ma-60	3	5	2022	2022	NUM
ma-60	3	6	)	)	PUNCT
ma-60	3	7	7doi	7doi	NOUN
ma-60	3	8	:	:	PUNCT
ma-60	3	9	10.28924	10.28924	NUM
ma-60	3	10	/	/	SYM
ma-60	3	11	ada	ada	PROPN
ma-60	3	12	/	/	SYM
ma-60	3	13	ma.2.7	ma.2.7	PROPN
ma-60	3	14	on	on	ADP
ma-60	3	15	the	the	DET
ma-60	3	16	stratonovich	stratonovich	NOUN
ma-60	3	17	estimator	estimator	NOUN
ma-60	3	18	for	for	ADP
ma-60	3	19	the	the	DET
ma-60	3	20	itô	itô	PROPN
ma-60	3	21	diffusion	diffusion	PROPN
ma-60	3	22	jaya	jaya	PROPN
ma-60	3	23	p.	p.	PROPN
ma-60	3	24	n.	n.	PROPN
ma-60	3	25	bishwal	bishwal	PROPN
ma-60	3	26	department	department	PROPN
ma-60	3	27	of	of	ADP
ma-60	3	28	mathematics	mathematics	PROPN
ma-60	3	29	and	and	CCONJ
ma-60	3	30	statistics	statistic	NOUN
ma-60	3	31	,	,	PUNCT
ma-60	3	32	university	university	PROPN
ma-60	3	33	of	of	ADP
ma-60	3	34	north	north	PROPN
ma-60	3	35	carolina	carolina	PROPN
ma-60	3	36	at	at	ADP
ma-60	3	37	charlotte	charlotte	PROPN
ma-60	3	38	,	,	PUNCT
ma-60	3	39	376	376	NUM
ma-60	3	40	fretwell	fretwell	NOUN
ma-60	3	41	bldg	bldg	NOUN
ma-60	3	42	,	,	PUNCT
ma-60	3	43	9201	9201	NUM
ma-60	3	44	university	university	NOUN
ma-60	3	45	city	city	NOUN
ma-60	3	46	blvd	blvd	PROPN
ma-60	3	47	.	.	PUNCT
ma-60	3	48	,	,	PUNCT
ma-60	3	49	charlotte	charlotte	PROPN
ma-60	3	50	,	,	PUNCT
ma-60	3	51	nc	nc	PROPN
ma-60	3	52	28223	28223	NUM
ma-60	3	53	-	-	PUNCT
ma-60	3	54	0001	0001	NUM
ma-60	3	55	,	,	PUNCT
ma-60	3	56	usa	usa	PROPN
ma-60	3	57	correspondence	correspondence	NOUN
ma-60	3	58	:	:	PUNCT
ma-60	3	59	j.bishwal@uncc.edu	j.bishwal@uncc.edu	PROPN
ma-60	3	60	abstract	abstract	ADJ
ma-60	3	61	.	.	PUNCT
ma-60	4	1	for	for	ADP
ma-60	4	2	the	the	DET
ma-60	4	3	parameter	parameter	NOUN
ma-60	4	4	appearing	appear	VERB
ma-60	4	5	non	non	ADJ
ma-60	4	6	-	-	ADJ
ma-60	4	7	linearly	linearly	ADV
ma-60	4	8	in	in	ADP
ma-60	4	9	the	the	DET
ma-60	4	10	drift	drift	NOUN
ma-60	4	11	coefficient	coefficient	NOUN
ma-60	4	12	of	of	ADP
ma-60	4	13	homogeneous	homogeneous	ADJ
ma-60	4	14	itô	itô	PROPN
ma-60	4	15	sto	sto	ADJ
ma-60	4	16	-	-	ADJ
ma-60	4	17	chastic	chastic	ADJ
ma-60	4	18	differential	differential	NOUN
ma-60	4	19	equation	equation	NOUN
ma-60	4	20	having	have	VERB
ma-60	4	21	a	a	DET
ma-60	4	22	stationary	stationary	ADJ
ma-60	4	23	ergodic	ergodic	ADJ
ma-60	4	24	solution	solution	NOUN
ma-60	4	25	,	,	PUNCT
ma-60	4	26	the	the	DET
ma-60	4	27	paper	paper	NOUN
ma-60	4	28	obtains	obtain	VERB
ma-60	4	29	the	the	DET
ma-60	4	30	strong	strong	ADJ
ma-60	4	31	con	con	NOUN
ma-60	4	32	-	-	PUNCT
ma-60	4	33	sistency	sistency	NOUN
ma-60	4	34	of	of	ADP
ma-60	4	35	an	an	DET
ma-60	4	36	approximate	approximate	ADJ
ma-60	4	37	maximum	maximum	ADJ
ma-60	4	38	likelihood	likelihood	NOUN
ma-60	4	39	estimator	estimator	NOUN
ma-60	4	40	based	base	VERB
ma-60	4	41	on	on	ADP
ma-60	4	42	stratonovich	stratonovich	ADJ
ma-60	4	43	type	type	NOUN
ma-60	4	44	approximationof	approximationof	PROPN
ma-60	4	45	the	the	DET
ma-60	4	46	continuous	continuous	ADJ
ma-60	4	47	girsanov	girsanov	NOUN
ma-60	4	48	likelihood	likelihood	NOUN
ma-60	4	49	,	,	PUNCT
ma-60	4	50	under	under	ADP
ma-60	4	51	some	some	DET
ma-60	4	52	regularity	regularity	NOUN
ma-60	4	53	conditions	condition	NOUN
ma-60	4	54	,	,	PUNCT
ma-60	4	55	when	when	SCONJ
ma-60	4	56	the	the	DET
ma-60	4	57	corresponding	corresponding	ADJ
ma-60	4	58	dif	dif	ADV
ma-60	4	59	-	-	PUNCT
ma-60	4	60	fusion	fusion	NOUN
ma-60	4	61	is	be	AUX
ma-60	4	62	observed	observe	VERB
ma-60	4	63	at	at	ADP
ma-60	4	64	equally	equally	ADV
ma-60	4	65	spaced	space	VERB
ma-60	4	66	dense	dense	ADJ
ma-60	4	67	time	time	NOUN
ma-60	4	68	points	point	NOUN
ma-60	4	69	over	over	ADP
ma-60	4	70	a	a	DET
ma-60	4	71	long	long	ADJ
ma-60	4	72	time	time	NOUN
ma-60	4	73	interval	interval	NOUN
ma-60	4	74	in	in	ADP
ma-60	4	75	the	the	DET
ma-60	4	76	high	high	ADJ
ma-60	4	77	frequencyregime	frequencyregime	ADJ
ma-60	4	78	.	.	PUNCT
ma-60	5	1	pathwise	pathwise	PROPN
ma-60	5	2	convergence	convergence	NOUN
ma-60	5	3	of	of	ADP
ma-60	5	4	stochastic	stochastic	ADJ
ma-60	5	5	integral	integral	ADJ
ma-60	5	6	approximations	approximation	NOUN
ma-60	5	7	and	and	CCONJ
ma-60	5	8	their	their	PRON
ma-60	5	9	connection	connection	NOUN
ma-60	5	10	to	to	PART
ma-60	5	11	discretedrift	discretedrift	VERB
ma-60	5	12	estimators	estimator	NOUN
ma-60	5	13	is	be	AUX
ma-60	5	14	studied	study	VERB
ma-60	5	15	.	.	PUNCT
ma-60	6	1	often	often	ADV
ma-60	6	2	it	it	PRON
ma-60	6	3	is	be	AUX
ma-60	6	4	shown	show	VERB
ma-60	6	5	that	that	SCONJ
ma-60	6	6	discrete	discrete	ADJ
ma-60	6	7	drift	drift	NOUN
ma-60	6	8	estimators	estimator	NOUN
ma-60	6	9	converge	converge	VERB
ma-60	6	10	in	in	ADP
ma-60	6	11	probability	probability	NOUN
ma-60	6	12	.	.	PUNCT
ma-60	7	1	weobtain	weobtain	NOUN
ma-60	7	2	convergence	convergence	NOUN
ma-60	7	3	of	of	ADP
ma-60	7	4	the	the	DET
ma-60	7	5	estimator	estimator	NOUN
ma-60	7	6	with	with	ADP
ma-60	7	7	probability	probability	NOUN
ma-60	7	8	one	one	NUM
ma-60	7	9	.	.	PUNCT
ma-60	8	1	ornstein	ornstein	PROPN
ma-60	8	2	-	-	PUNCT
ma-60	8	3	uhlenbeck	uhlenbeck	PROPN
ma-60	8	4	process	process	NOUN
ma-60	8	5	is	be	AUX
ma-60	8	6	consideredas	considereda	NOUN
ma-60	8	7	an	an	DET
ma-60	8	8	example	example	NOUN
ma-60	8	9	.	.	PUNCT
ma-60	9	1	1	1	X
ma-60	9	2	.	.	X
ma-60	9	3	introduction	introduction	NOUN
ma-60	9	4	and	and	CCONJ
ma-60	9	5	preliminaries	preliminary	NOUN
ma-60	9	6	parameter	parameter	NOUN
ma-60	9	7	estimation	estimation	NOUN
ma-60	9	8	in	in	ADP
ma-60	9	9	diffusion	diffusion	NOUN
ma-60	9	10	processes	process	NOUN
ma-60	9	11	based	base	VERB
ma-60	9	12	on	on	ADP
ma-60	9	13	discrete	discrete	ADJ
ma-60	9	14	observations	observation	NOUN
ma-60	9	15	is	be	AUX
ma-60	9	16	being	be	AUX
ma-60	9	17	paid	pay	VERB
ma-60	9	18	a	a	DET
ma-60	9	19	lot	lot	NOUN
ma-60	9	20	ofattention	ofattention	NOUN
ma-60	9	21	now	now	ADV
ma-60	9	22	a	a	DET
ma-60	9	23	days	day	NOUN
ma-60	9	24	in	in	ADP
ma-60	9	25	view	view	NOUN
ma-60	9	26	of	of	ADP
ma-60	9	27	its	its	PRON
ma-60	9	28	application	application	NOUN
ma-60	9	29	in	in	ADP
ma-60	9	30	many	many	ADJ
ma-60	9	31	fields	field	NOUN
ma-60	9	32	such	such	ADJ
ma-60	9	33	as	as	ADP
ma-60	9	34	biology	biology	NOUN
ma-60	9	35	,	,	PUNCT
ma-60	9	36	physics	physics	NOUN
ma-60	9	37	,	,	PUNCT
ma-60	9	38	oceanograpgyand	oceanograpgyand	VERB
ma-60	9	39	especially	especially	ADV
ma-60	9	40	in	in	ADP
ma-60	9	41	finance	finance	NOUN
ma-60	9	42	,	,	PUNCT
ma-60	9	43	see	see	VERB
ma-60	9	44	kutoyants	kutoyant	NOUN
ma-60	9	45	(	(	PUNCT
ma-60	9	46	2004	2004	NUM
ma-60	9	47	)	)	PUNCT
ma-60	9	48	and	and	CCONJ
ma-60	9	49	bishwal	bishwal	NOUN
ma-60	9	50	(	(	PUNCT
ma-60	9	51	2008	2008	NUM
ma-60	9	52	,	,	PUNCT
ma-60	9	53	2021).consider	2021).consider	NUM
ma-60	9	54	the	the	DET
ma-60	9	55	itô	itô	PROPN
ma-60	9	56	stochastic	stochastic	ADJ
ma-60	9	57	differential	differential	NOUN
ma-60	9	58	equation	equation	NOUN
ma-60	10	1	dxt	dxt	PROPN
ma-60	10	2	=	=	SYM
ma-60	10	3	f	f	PROPN
ma-60	10	4	(	(	PUNCT
ma-60	10	5	θ	θ	PROPN
ma-60	10	6	,	,	PUNCT
ma-60	10	7	xt)dt	xt)dt	PUNCT
ma-60	11	1	+	+	CCONJ
ma-60	11	2	dwt	dwt	PROPN
ma-60	11	3	,	,	PUNCT
ma-60	11	4	t	t	PROPN
ma-60	11	5	≥	≥	NOUN
ma-60	11	6	0	0	NUM
ma-60	12	1	x0	x0	PROPN
ma-60	12	2	=	=	PUNCT
ma-60	13	1	x0	x0	PROPN
ma-60	13	2	(	(	PUNCT
ma-60	13	3	1.1	1.1	NUM
ma-60	13	4	)	)	PUNCT
ma-60	13	5	where	where	SCONJ
ma-60	13	6	{	{	PUNCT
ma-60	13	7	wt	wt	INTJ
ma-60	13	8	,	,	PUNCT
ma-60	13	9	t	t	PROPN
ma-60	13	10	≥	≥	NOUN
ma-60	13	11	0	0	NUM
ma-60	13	12	}	}	PUNCT
ma-60	13	13	is	be	AUX
ma-60	13	14	a	a	DET
ma-60	13	15	one	one	NUM
ma-60	13	16	dimensional	dimensional	ADJ
ma-60	13	17	standard	standard	ADJ
ma-60	13	18	wiener	wiener	NOUN
ma-60	13	19	process	process	NOUN
ma-60	13	20	,	,	PUNCT
ma-60	13	21	θ	θ	PROPN
ma-60	13	22	∈	∈	PROPN
ma-60	13	23	θ	θ	PROPN
ma-60	13	24	,	,	PUNCT
ma-60	13	25	θ	θ	PROPN
ma-60	13	26	is	be	AUX
ma-60	13	27	a	a	DET
ma-60	13	28	compact	compact	ADJ
ma-60	13	29	subsetof	subsetof	NOUN
ma-60	13	30	r	r	NOUN
ma-60	13	31	,	,	PUNCT
ma-60	13	32	f	f	PROPN
ma-60	13	33	is	be	AUX
ma-60	13	34	a	a	DET
ma-60	13	35	known	know	VERB
ma-60	13	36	real	real	ADV
ma-60	13	37	valued	value	VERB
ma-60	13	38	function	function	NOUN
ma-60	13	39	defined	define	VERB
ma-60	13	40	on	on	ADP
ma-60	13	41	θ	θ	PROPN
ma-60	13	42	×	×	PROPN
ma-60	13	43	r	r	NOUN
ma-60	13	44	,	,	PUNCT
ma-60	13	45	the	the	DET
ma-60	13	46	unknown	unknown	ADJ
ma-60	13	47	parameter	parameter	NOUN
ma-60	13	48	θ	θ	PROPN
ma-60	13	49	is	be	AUX
ma-60	13	50	to	to	PART
ma-60	13	51	beestimated	beestimate	VERB
ma-60	13	52	on	on	ADP
ma-60	13	53	the	the	DET
ma-60	13	54	basis	basis	NOUN
ma-60	13	55	of	of	ADP
ma-60	13	56	observation	observation	NOUN
ma-60	13	57	of	of	ADP
ma-60	13	58	the	the	DET
ma-60	13	59	proces	proce	NOUN
ma-60	13	60	{	{	PUNCT
ma-60	13	61	xt	xt	PROPN
ma-60	13	62	,	,	PUNCT
ma-60	13	63	t	t	PROPN
ma-60	13	64	≥	≥	NOUN
ma-60	13	65	0	0	NUM
ma-60	13	66	}	}	PUNCT
ma-60	13	67	.	.	PUNCT
ma-60	14	1	let	let	VERB
ma-60	14	2	θ0	θ0	NOUN
ma-60	14	3	be	be	AUX
ma-60	14	4	the	the	DET
ma-60	14	5	true	true	ADJ
ma-60	14	6	value	value	NOUN
ma-60	14	7	of	of	ADP
ma-60	14	8	theparameter	theparameter	NUM
ma-60	14	9	which	which	PRON
ma-60	14	10	is	be	AUX
ma-60	14	11	in	in	ADP
ma-60	14	12	the	the	DET
ma-60	14	13	interior	interior	NOUN
ma-60	14	14	of	of	ADP
ma-60	14	15	θ	θ	PROPN
ma-60	14	16	.	.	PUNCT
ma-60	15	1	we	we	PRON
ma-60	15	2	assume	assume	VERB
ma-60	15	3	that	that	SCONJ
ma-60	15	4	the	the	DET
ma-60	15	5	process	process	NOUN
ma-60	15	6	{	{	PUNCT
ma-60	15	7	xt	xt	PROPN
ma-60	15	8	,	,	PUNCT
ma-60	15	9	t	t	PROPN
ma-60	15	10	≥	≥	NUM
ma-60	15	11	0	0	NUM
ma-60	15	12	}	}	PUNCT
ma-60	15	13	is	be	AUX
ma-60	15	14	observed	observe	VERB
ma-60	15	15	at	at	ADP
ma-60	15	16	0	0	NUM
ma-60	15	17	=	=	SYM
ma-60	15	18	t0	t0	PROPN
ma-60	15	19	<	<	X
ma-60	15	20	t1	t1	NOUN
ma-60	15	21	<	<	X
ma-60	15	22	.	.	PUNCT
ma-60	15	23	.	.	PUNCT
ma-60	15	24	.	.	PUNCT
ma-60	16	1	<	<	X
ma-60	16	2	tn	tn	PROPN
ma-60	17	1	=	=	SYM
ma-60	17	2	t	t	PROPN
ma-60	17	3	with	with	ADP
ma-60	17	4	∆ti	∆ti	NOUN
ma-60	17	5	:	:	PUNCT
ma-60	18	1	=	=	SYM
ma-60	18	2	ti	ti	NOUN
ma-60	18	3	−	−	PROPN
ma-60	18	4	ti−1	ti−1	NOUN
ma-60	18	5	=	=	SYM
ma-60	18	6	t	t	PROPN
ma-60	18	7	n	n	NOUN
ma-60	18	8	=	=	SYM
ma-60	18	9	h	h	NOUN
ma-60	18	10	,	,	PUNCT
ma-60	18	11	i	i	PRON
ma-60	18	12	=	=	NOUN
ma-60	18	13	1	1	NUM
ma-60	18	14	,	,	PUNCT
ma-60	18	15	2	2	NUM
ma-60	18	16	,	,	PUNCT
ma-60	18	17	.	.	PUNCT
ma-60	18	18	.	.	PUNCT
ma-60	18	19	.	.	PUNCT
ma-60	18	20	,	,	PUNCT
ma-60	19	1	n	n	PROPN
ma-60	19	2	and	and	CCONJ
ma-60	19	3	t	t	NOUN
ma-60	19	4	=	=	PUNCT
ma-60	20	1	dn1/2for	dn1/2for	ADP
ma-60	20	2	some	some	DET
ma-60	20	3	fixed	fix	VERB
ma-60	20	4	real	real	ADJ
ma-60	20	5	number	number	NOUN
ma-60	20	6	d	d	X
ma-60	20	7	>	>	X
ma-60	20	8	0	0	X
ma-60	20	9	.	.	PUNCT
ma-60	21	1	we	we	PRON
ma-60	21	2	estimate	estimate	VERB
ma-60	21	3	θ	θ	PROPN
ma-60	21	4	from	from	ADP
ma-60	21	5	the	the	DET
ma-60	21	6	observations	observation	NOUN
ma-60	21	7	{	{	PUNCT
ma-60	21	8	xt0	xt0	PROPN
ma-60	21	9	,	,	PUNCT
ma-60	21	10	xt1	xt1	PROPN
ma-60	21	11	,	,	PUNCT
ma-60	21	12	.	.	PUNCT
ma-60	21	13	.	.	PUNCT
ma-60	22	1	.	.	PUNCT
ma-60	23	1	,	,	PUNCT
ma-60	23	2	xtn	xtn	PROPN
ma-60	23	3	}	}	PUNCT
ma-60	23	4	.	.	PUNCT
ma-60	24	1	this	this	PRON
ma-60	24	2	received	receive	VERB
ma-60	24	3	:	:	PUNCT
ma-60	24	4	5	5	NUM
ma-60	24	5	dec	dec	PROPN
ma-60	24	6	2021	2021	NUM
ma-60	24	7	.	.	PUNCT
ma-60	25	1	key	key	ADJ
ma-60	25	2	words	word	NOUN
ma-60	25	3	and	and	CCONJ
ma-60	25	4	phrases	phrase	NOUN
ma-60	25	5	.	.	PUNCT
ma-60	26	1	itô	itô	ADP
ma-60	26	2	stochastic	stochastic	ADJ
ma-60	26	3	differential	differential	NOUN
ma-60	26	4	equation	equation	NOUN
ma-60	26	5	;	;	PUNCT
ma-60	26	6	stratonovich	stratonovich	NOUN
ma-60	26	7	integral	integral	ADJ
ma-60	26	8	;	;	PUNCT
ma-60	26	9	diffusion	diffusion	NOUN
ma-60	26	10	process	process	NOUN
ma-60	26	11	;	;	PUNCT
ma-60	26	12	discrete	discrete	VERB
ma-60	26	13	ob	ob	NOUN
ma-60	26	14	-	-	NOUN
ma-60	26	15	servations	servation	NOUN
ma-60	26	16	;	;	PUNCT
ma-60	26	17	high	high	ADJ
ma-60	26	18	frequency	frequency	NOUN
ma-60	26	19	;	;	PUNCT
ma-60	26	20	approximate	approximate	ADJ
ma-60	26	21	maximum	maximum	ADJ
ma-60	26	22	likelihood	likelihood	NOUN
ma-60	26	23	estimators	estimator	NOUN
ma-60	26	24	;	;	PUNCT
ma-60	26	25	conditional	conditional	ADJ
ma-60	26	26	least	least	ADJ
ma-60	26	27	squares	square	NOUN
ma-60	26	28	estimator	estimator	NOUN
ma-60	26	29	;	;	PUNCT
ma-60	26	30	strongconsistency	strongconsistency	NOUN
ma-60	26	31	;	;	PUNCT
ma-60	26	32	monte	monte	PROPN
ma-60	26	33	carlo	carlo	PROPN
ma-60	26	34	methods	method	NOUN
ma-60	26	35	.	.	PUNCT
ma-60	27	1	1	1	NUM
ma-60	27	2	https://adac.ee	https://adac.ee	PROPN
ma-60	27	3	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	27	4	eur	eur	NOUN
ma-60	27	5	.	.	PUNCT
ma-60	28	1	j.	j.	PROPN
ma-60	28	2	math	math	PROPN
ma-60	28	3	.	.	PUNCT
ma-60	29	1	anal	anal	PROPN
ma-60	29	2	.	.	PUNCT
ma-60	30	1	10.28924	10.28924	NUM
ma-60	30	2	/	/	SYM
ma-60	30	3	ada	ada	PROPN
ma-60	30	4	/	/	SYM
ma-60	30	5	ma.2.7	ma.2.7	PROPN
ma-60	30	6	2model	2model	NUM
ma-60	30	7	was	be	AUX
ma-60	30	8	first	first	ADV
ma-60	30	9	studied	study	VERB
ma-60	30	10	by	by	ADP
ma-60	30	11	dorogovcev	dorogovcev	NOUN
ma-60	30	12	(	(	PUNCT
ma-60	30	13	1976	1976	NUM
ma-60	30	14	)	)	PUNCT
ma-60	30	15	who	who	PRON
ma-60	30	16	obtained	obtain	VERB
ma-60	30	17	weak	weak	ADJ
ma-60	30	18	consistency	consistency	NOUN
ma-60	30	19	of	of	ADP
ma-60	30	20	the	the	DET
ma-60	30	21	conditionalleast	conditionalleast	ADJ
ma-60	30	22	squares	square	NOUN
ma-60	30	23	estimator	estimator	NOUN
ma-60	30	24	(	(	PUNCT
ma-60	30	25	clse	clse	PROPN
ma-60	30	26	)	)	PUNCT
ma-60	30	27	under	under	ADP
ma-60	30	28	some	some	DET
ma-60	30	29	regularity	regularity	NOUN
ma-60	30	30	conditions	condition	NOUN
ma-60	30	31	as	as	ADP
ma-60	30	32	t	t	PROPN
ma-60	30	33	→∞	→∞	PROPN
ma-60	30	34	and	and	CCONJ
ma-60	30	35	t	t	PROPN
ma-60	30	36	n	n	PROPN
ma-60	30	37	→	→	SYM
ma-60	30	38	0	0	NUM
ma-60	30	39	.	.	PUNCT
ma-60	30	40	kasonga(1988	kasonga(1988	PROPN
ma-60	30	41	)	)	PUNCT
ma-60	30	42	obtained	obtain	VERB
ma-60	30	43	the	the	DET
ma-60	30	44	strong	strong	ADJ
ma-60	30	45	consistency	consistency	NOUN
ma-60	30	46	of	of	ADP
ma-60	30	47	the	the	DET
ma-60	30	48	clse	clse	NOUN
ma-60	30	49	under	under	ADP
ma-60	30	50	some	some	DET
ma-60	30	51	regularity	regularity	NOUN
ma-60	30	52	conditions	condition	NOUN
ma-60	30	53	as	as	ADP
ma-60	30	54	n	n	X
ma-60	30	55	→	→	SYM
ma-60	30	56	∞assuming	∞assume	VERB
ma-60	30	57	that	that	SCONJ
ma-60	30	58	t	t	NOUN
ma-60	30	59	=	=	SYM
ma-60	30	60	dn1/2	dn1/2	PROPN
ma-60	30	61	for	for	ADP
ma-60	30	62	some	some	DET
ma-60	30	63	fixed	fix	VERB
ma-60	30	64	real	real	ADJ
ma-60	30	65	number	number	NOUN
ma-60	30	66	d	d	PROPN
ma-60	30	67	>	>	X
ma-60	30	68	0.note	0.note	NUM
ma-60	30	69	that	that	SCONJ
ma-60	30	70	the	the	DET
ma-60	30	71	conditional	conditional	ADJ
ma-60	30	72	least	least	ADJ
ma-60	30	73	squares	square	NOUN
ma-60	30	74	estimator	estimator	NOUN
ma-60	30	75	(	(	PUNCT
ma-60	30	76	clse	clse	PROPN
ma-60	30	77	)	)	PUNCT
ma-60	30	78	of	of	ADP
ma-60	30	79	θ	θ	PROPN
ma-60	30	80	is	be	AUX
ma-60	30	81	defined	define	VERB
ma-60	30	82	as	as	ADP
ma-60	30	83	θn	θn	PROPN
ma-60	30	84	,	,	PUNCT
ma-60	30	85	t	t	NOUN
ma-60	30	86	:	:	PUNCT
ma-60	30	87	=	=	PUNCT
ma-60	30	88	arg	arg	NOUN
ma-60	30	89	min	min	PROPN
ma-60	30	90	θ∈θ	θ∈θ	PROPN
ma-60	30	91	qn	qn	PROPN
ma-60	30	92	,	,	PUNCT
ma-60	30	93	t	t	PROPN
ma-60	30	94	(	(	PUNCT
ma-60	30	95	θ	θ	PROPN
ma-60	30	96	)	)	PUNCT
ma-60	30	97	where	where	SCONJ
ma-60	30	98	qn	qn	NOUN
ma-60	30	99	,	,	PUNCT
ma-60	30	100	t	t	PROPN
ma-60	30	101	(	(	PUNCT
ma-60	30	102	θ	θ	NOUN
ma-60	30	103	)	)	PUNCT
ma-60	31	1	=	=	SYM
ma-60	31	2	n∑	n∑	NOUN
ma-60	31	3	i=1	i=1	X
ma-60	32	1	[	[	PUNCT
ma-60	32	2	xti	xti	PROPN
ma-60	32	3	−xti−1	−xti−1	PROPN
ma-60	32	4	−	−	PROPN
ma-60	33	1	f	f	PROPN
ma-60	33	2	(	(	PUNCT
ma-60	33	3	θ	θ	PROPN
ma-60	33	4	,	,	PUNCT
ma-60	33	5	xti−1	xti−1	PROPN
ma-60	33	6	)	)	PUNCT
ma-60	33	7	h	h	NOUN
ma-60	33	8	]	]	X
ma-60	33	9	2	2	NUM
ma-60	33	10	∆ti	∆ti	NOUN
ma-60	33	11	.	.	PUNCT
ma-60	34	1	note	note	VERB
ma-60	34	2	that	that	SCONJ
ma-60	34	3	the	the	DET
ma-60	34	4	clse	clse	NOUN
ma-60	34	5	,	,	PUNCT
ma-60	34	6	the	the	DET
ma-60	34	7	euler	euler	NOUN
ma-60	34	8	-	-	PUNCT
ma-60	34	9	maruyama	maruyama	NOUN
ma-60	34	10	estimator	estimator	NOUN
ma-60	34	11	and	and	CCONJ
ma-60	34	12	the	the	DET
ma-60	34	13	iamle	iamle	NOUN
ma-60	34	14	are	be	AUX
ma-60	34	15	the	the	DET
ma-60	34	16	same	same	ADJ
ma-60	34	17	estimator(see	estimator(see	ADJ
ma-60	34	18	shoji	shoji	NOUN
ma-60	34	19	(	(	PUNCT
ma-60	34	20	1997	1997	NUM
ma-60	34	21	)	)	PUNCT
ma-60	34	22	)	)	PUNCT
ma-60	34	23	.	.	PUNCT
ma-60	35	1	for	for	ADP
ma-60	35	2	the	the	DET
ma-60	35	3	ornstein	ornstein	PROPN
ma-60	35	4	-	-	PUNCT
ma-60	35	5	uhlenbeck	uhlenbeck	PROPN
ma-60	35	6	process	process	NOUN
ma-60	35	7	,	,	PUNCT
ma-60	35	8	bishwal	bishwal	NOUN
ma-60	35	9	and	and	CCONJ
ma-60	35	10	bose	bose	PROPN
ma-60	35	11	(	(	PUNCT
ma-60	35	12	2001	2001	NUM
ma-60	35	13	)	)	PUNCT
ma-60	35	14	studied	study	VERB
ma-60	35	15	therates	therate	NOUN
ma-60	35	16	of	of	ADP
ma-60	35	17	weak	weak	ADJ
ma-60	35	18	convergence	convergence	NOUN
ma-60	35	19	of	of	ADP
ma-60	35	20	approximate	approximate	ADJ
ma-60	35	21	maximum	maximum	ADJ
ma-60	35	22	likelihood	likelihood	NOUN
ma-60	35	23	estimators	estimator	NOUN
ma-60	35	24	,	,	PUNCT
ma-60	35	25	which	which	PRON
ma-60	35	26	are	be	AUX
ma-60	35	27	of	of	ADP
ma-60	35	28	conditionalleast	conditionalleast	ADJ
ma-60	35	29	squares	square	NOUN
ma-60	35	30	type	type	NOUN
ma-60	35	31	.	.	PUNCT
ma-60	36	1	for	for	ADP
ma-60	36	2	the	the	DET
ma-60	36	3	ornstein	ornstein	PROPN
ma-60	36	4	-	-	PUNCT
ma-60	36	5	uhlenbeck	uhlenbeck	PROPN
ma-60	36	6	process	process	NOUN
ma-60	36	7	bishwal	bishwal	NOUN
ma-60	36	8	(	(	PUNCT
ma-60	36	9	2010a	2010a	NUM
ma-60	36	10	)	)	PUNCT
ma-60	36	11	studied	study	VERB
ma-60	36	12	uniform	uniform	ADJ
ma-60	36	13	rate	rate	NOUN
ma-60	36	14	ofweak	ofweak	NOUN
ma-60	36	15	convergence	convergence	NOUN
ma-60	36	16	for	for	ADP
ma-60	36	17	the	the	DET
ma-60	36	18	minimum	minimum	ADJ
ma-60	36	19	contrast	contrast	NOUN
ma-60	36	20	estimator	estimator	NOUN
ma-60	36	21	,	,	PUNCT
ma-60	36	22	which	which	PRON
ma-60	36	23	has	have	VERB
ma-60	36	24	close	close	ADJ
ma-60	36	25	connection	connection	NOUN
ma-60	36	26	to	to	ADP
ma-60	36	27	stratonovich	stratonovich	NOUN
ma-60	36	28	-	-	PUNCT
ma-60	36	29	milstein	milstein	NOUN
ma-60	36	30	scheme	scheme	NOUN
ma-60	36	31	.	.	PUNCT
ma-60	37	1	bishwal	bishwal	NOUN
ma-60	37	2	(	(	PUNCT
ma-60	37	3	2009a	2009a	NUM
ma-60	37	4	)	)	PUNCT
ma-60	37	5	studied	study	VERB
ma-60	37	6	berry	berry	NOUN
ma-60	37	7	-	-	PUNCT
ma-60	37	8	esseen	esseen	PROPN
ma-60	37	9	inequalities	inequality	NOUN
ma-60	37	10	for	for	ADP
ma-60	37	11	conditional	conditional	ADJ
ma-60	37	12	least	least	ADJ
ma-60	37	13	squaresestimator	squaresestimator	NOUN
ma-60	37	14	discretely	discretely	ADV
ma-60	37	15	observed	observe	VERB
ma-60	37	16	nonlinear	nonlinear	ADJ
ma-60	37	17	diffusions	diffusion	NOUN
ma-60	37	18	.	.	PUNCT
ma-60	38	1	bishwal	bishwal	NOUN
ma-60	38	2	(	(	PUNCT
ma-60	38	3	2009b	2009b	NUM
ma-60	38	4	)	)	PUNCT
ma-60	38	5	studied	study	VERB
ma-60	38	6	stratonovich	stratonovich	NOUN
ma-60	38	7	basedapproximate	basedapproximate	NOUN
ma-60	38	8	m	m	PROPN
ma-60	38	9	-	-	NOUN
ma-60	38	10	estimator	estimator	NOUN
ma-60	38	11	of	of	ADP
ma-60	38	12	discretely	discretely	ADV
ma-60	38	13	sampled	sample	VERB
ma-60	38	14	nonlinear	nonlinear	ADJ
ma-60	38	15	diffusions	diffusion	NOUN
ma-60	38	16	.	.	PUNCT
ma-60	39	1	bishwal(2011a	bishwal(2011a	NOUN
ma-60	39	2	)	)	PUNCT
ma-60	39	3	studied	study	VERB
ma-60	39	4	mil	mil	PROPN
ma-60	39	5	-	-	PUNCT
ma-60	39	6	stein	stein	PROPN
ma-60	39	7	approximation	approximation	NOUN
ma-60	39	8	of	of	ADP
ma-60	39	9	posterior	posterior	ADJ
ma-60	39	10	density	density	NOUN
ma-60	39	11	of	of	ADP
ma-60	39	12	diffusions	diffusion	NOUN
ma-60	39	13	.	.	PUNCT
ma-60	40	1	bishwal	bishwal	NOUN
ma-60	40	2	(	(	PUNCT
ma-60	40	3	2010b	2010b	NOUN
ma-60	40	4	)	)	PUNCT
ma-60	40	5	studied	study	VERB
ma-60	40	6	conditional	conditional	ADJ
ma-60	40	7	leastsquares	leastsquare	NOUN
ma-60	40	8	estimation	estimation	NOUN
ma-60	40	9	in	in	ADP
ma-60	40	10	nonlinear	nonlinear	ADJ
ma-60	40	11	diffusion	diffusion	NOUN
ma-60	40	12	processes	process	NOUN
ma-60	40	13	based	base	VERB
ma-60	40	14	on	on	ADP
ma-60	40	15	poisson	poisson	NOUN
ma-60	40	16	sampling	sampling	NOUN
ma-60	40	17	.	.	PUNCT
ma-60	41	1	bishwal	bishwal	NOUN
ma-60	41	2	(	(	PUNCT
ma-60	41	3	2011b)obtained	2011b)obtained	NUM
ma-60	41	4	some	some	DET
ma-60	41	5	new	new	ADJ
ma-60	41	6	estimators	estimator	NOUN
ma-60	41	7	of	of	ADP
ma-60	41	8	integrated	integrated	ADJ
ma-60	41	9	volatility	volatility	NOUN
ma-60	41	10	using	use	VERB
ma-60	41	11	the	the	DET
ma-60	41	12	stochastic	stochastic	ADJ
ma-60	41	13	taylor	taylor	PROPN
ma-60	41	14	type	type	NOUN
ma-60	41	15	schemeswhich	schemeswhich	PROPN
ma-60	41	16	could	could	AUX
ma-60	41	17	be	be	AUX
ma-60	41	18	useful	useful	ADJ
ma-60	41	19	for	for	ADP
ma-60	41	20	option	option	NOUN
ma-60	41	21	pricing	pricing	NOUN
ma-60	41	22	in	in	ADP
ma-60	41	23	stochastic	stochastic	ADJ
ma-60	41	24	volatility	volatility	NOUN
ma-60	41	25	models	model	NOUN
ma-60	41	26	.	.	PUNCT
ma-60	42	1	in	in	ADP
ma-60	42	2	mathematical	mathematical	ADJ
ma-60	42	3	finance	finance	NOUN
ma-60	42	4	,	,	PUNCT
ma-60	42	5	almost	almost	ADV
ma-60	42	6	sure	sure	ADJ
ma-60	42	7	optimal	optimal	ADJ
ma-60	42	8	hedging	hedging	NOUN
ma-60	42	9	has	have	AUX
ma-60	42	10	received	receive	VERB
ma-60	42	11	recent	recent	ADJ
ma-60	42	12	attention	attention	NOUN
ma-60	42	13	.	.	PUNCT
ma-60	43	1	gobet	gobet	PROPN
ma-60	43	2	and	and	CCONJ
ma-60	43	3	landon	landon	PROPN
ma-60	43	4	(	(	PUNCT
ma-60	43	5	2014	2014	NUM
ma-60	43	6	)	)	PUNCT
ma-60	43	7	studied	study	VERB
ma-60	43	8	theoptimal	theoptimal	ADJ
ma-60	43	9	discretization	discretization	NOUN
ma-60	43	10	error	error	NOUN
ma-60	43	11	in	in	ADP
ma-60	43	12	the	the	DET
ma-60	43	13	context	context	NOUN
ma-60	43	14	of	of	ADP
ma-60	43	15	hedging	hedging	NOUN
ma-60	43	16	error	error	NOUN
ma-60	43	17	in	in	ADP
ma-60	43	18	a	a	DET
ma-60	43	19	multidimensional	multidimensional	ADJ
ma-60	43	20	itô	itô	PROPN
ma-60	43	21	model	model	PROPN
ma-60	43	22	wherethe	wherethe	PROPN
ma-60	43	23	convergence	convergence	NOUN
ma-60	43	24	is	be	AUX
ma-60	43	25	studied	study	VERB
ma-60	43	26	in	in	ADP
ma-60	43	27	an	an	DET
ma-60	43	28	almost	almost	ADV
ma-60	43	29	sure	sure	ADJ
ma-60	43	30	sense	sense	NOUN
ma-60	43	31	and	and	CCONJ
ma-60	43	32	the	the	DET
ma-60	43	33	discrete	discrete	ADJ
ma-60	43	34	trading	trading	NOUN
ma-60	43	35	dates	date	NOUN
ma-60	43	36	are	be	AUX
ma-60	43	37	stoppingtimes	stoppingtime	NOUN
ma-60	43	38	which	which	PRON
ma-60	43	39	includes	include	VERB
ma-60	43	40	the	the	DET
ma-60	43	41	sampling	sample	VERB
ma-60	43	42	scheme	scheme	NOUN
ma-60	43	43	of	of	ADP
ma-60	43	44	karandikar	karandikar	PROPN
ma-60	43	45	(	(	PUNCT
ma-60	43	46	1995	1995	NUM
ma-60	43	47	)	)	PUNCT
ma-60	43	48	who	who	PRON
ma-60	43	49	studied	study	VERB
ma-60	43	50	pathwise	pathwise	NOUN
ma-60	43	51	convergenceof	convergenceof	ADV
ma-60	43	52	stochastic	stochastic	ADJ
ma-60	43	53	integrals	integral	NOUN
ma-60	43	54	.	.	PUNCT
ma-60	44	1	bishwal	bishwal	NOUN
ma-60	44	2	(	(	PUNCT
ma-60	44	3	2011c	2011c	NOUN
ma-60	44	4	)	)	PUNCT
ma-60	44	5	studied	study	VERB
ma-60	44	6	higher	high	ADJ
ma-60	44	7	order	order	NOUN
ma-60	44	8	approximation	approximation	NOUN
ma-60	44	9	of	of	ADP
ma-60	44	10	hedging	hedging	NOUN
ma-60	44	11	error	error	NOUN
ma-60	44	12	inthe	inthe	ADP
ma-60	44	13	mean	mean	ADJ
ma-60	44	14	square	square	ADJ
ma-60	44	15	sense	sense	NOUN
ma-60	44	16	.	.	PUNCT
ma-60	45	1	almost	almost	ADV
ma-60	45	2	sure	sure	ADJ
ma-60	45	3	hedging	hedging	NOUN
ma-60	45	4	and	and	CCONJ
ma-60	45	5	optimality	optimality	NOUN
ma-60	45	6	of	of	ADP
ma-60	45	7	discretization	discretization	NOUN
ma-60	45	8	error	error	NOUN
ma-60	45	9	motivates	motivate	VERB
ma-60	45	10	ouralmost	ouralmost	VERB
ma-60	45	11	sure	sure	ADJ
ma-60	45	12	consistency	consistency	NOUN
ma-60	45	13	in	in	ADP
ma-60	45	14	estimation	estimation	NOUN
ma-60	45	15	problem.florens	problem.floren	NOUN
ma-60	45	16	-	-	PUNCT
ma-60	45	17	zmirou	zmirou	NOUN
ma-60	45	18	(	(	PUNCT
ma-60	45	19	1989	1989	NUM
ma-60	45	20	)	)	PUNCT
ma-60	45	21	studied	study	VERB
ma-60	45	22	minimum	minimum	ADJ
ma-60	45	23	contrast	contrast	NOUN
ma-60	45	24	estimator	estimator	NOUN
ma-60	45	25	,	,	PUNCT
ma-60	45	26	based	base	VERB
ma-60	45	27	on	on	ADP
ma-60	45	28	an	an	DET
ma-60	45	29	euler	euler	NOUN
ma-60	45	30	-	-	PUNCT
ma-60	45	31	maruyama	maruyama	NOUN
ma-60	45	32	typefirst	typefirst	NOUN
ma-60	45	33	order	order	NOUN
ma-60	45	34	approximate	approximate	ADJ
ma-60	45	35	discrete	discrete	ADJ
ma-60	45	36	time	time	NOUN
ma-60	45	37	scheme	scheme	NOUN
ma-60	45	38	of	of	ADP
ma-60	45	39	the	the	DET
ma-60	45	40	sde	sde	PROPN
ma-60	45	41	(	(	PUNCT
ma-60	45	42	1.1	1.1	NUM
ma-60	45	43	)	)	PUNCT
ma-60	45	44	which	which	PRON
ma-60	45	45	is	be	AUX
ma-60	45	46	given	give	VERB
ma-60	45	47	by	by	ADP
ma-60	45	48	zti	zti	X
ma-60	45	49	−	−	PROPN
ma-60	45	50	zti−1	zti−1	PROPN
ma-60	45	51	=	=	SYM
ma-60	45	52	f	f	PROPN
ma-60	45	53	(	(	PUNCT
ma-60	45	54	θ	θ	PROPN
ma-60	45	55	,	,	PUNCT
ma-60	45	56	zti−1	zti−1	PROPN
ma-60	45	57	)	)	PUNCT
ma-60	45	58	(	(	PUNCT
ma-60	45	59	ti	ti	X
ma-60	45	60	−	−	PROPN
ma-60	45	61	ti−1	ti−1	NOUN
ma-60	45	62	)	)	PUNCT
ma-60	46	1	+	+	NOUN
ma-60	46	2	wti	wti	PROPN
ma-60	46	3	−wti−1	−wti−1	PROPN
ma-60	46	4	,	,	PUNCT
ma-60	46	5	i	i	PRON
ma-60	46	6	≥	≥	VERB
ma-60	46	7	1	1	NUM
ma-60	46	8	,	,	PUNCT
ma-60	46	9	z0	z0	PROPN
ma-60	46	10	=	=	SYM
ma-60	46	11	x0	x0	PROPN
ma-60	46	12	.	.	PUNCT
ma-60	47	1	the	the	DET
ma-60	47	2	log	log	NOUN
ma-60	47	3	-	-	PUNCT
ma-60	47	4	likelihood	likelihood	NOUN
ma-60	47	5	function	function	NOUN
ma-60	47	6	of	of	ADP
ma-60	47	7	{	{	PUNCT
ma-60	47	8	zti	zti	NOUN
ma-60	47	9	,	,	PUNCT
ma-60	47	10	0	0	NUM
ma-60	47	11	≤	≤	NUM
ma-60	47	12	i	i	PRON
ma-60	47	13	≤	≤	NOUN
ma-60	47	14	n	n	CCONJ
ma-60	47	15	}	}	PUNCT
ma-60	47	16	is	be	AUX
ma-60	47	17	given	give	VERB
ma-60	47	18	by	by	ADP
ma-60	47	19	c	c	PROPN
ma-60	47	20	n∑	n∑	NOUN
ma-60	47	21	i=1	i=1	PROPN
ma-60	48	1	[	[	PUNCT
ma-60	48	2	zti	zti	NOUN
ma-60	48	3	−	−	PROPN
ma-60	48	4	zti−1	zti−1	PROPN
ma-60	48	5	−	−	PROPN
ma-60	48	6	f	f	PROPN
ma-60	48	7	(	(	PUNCT
ma-60	48	8	θ	θ	PROPN
ma-60	48	9	,	,	PUNCT
ma-60	48	10	zti−1	zti−1	PROPN
ma-60	48	11	)	)	PUNCT
ma-60	48	12	h	h	NOUN
ma-60	48	13	]	]	X
ma-60	48	14	2	2	NUM
ma-60	48	15	∆ti	∆ti	NOUN
ma-60	48	16	.	.	PUNCT
ma-60	49	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	49	2	eur	eur	NOUN
ma-60	49	3	.	.	PUNCT
ma-60	50	1	j.	j.	PROPN
ma-60	50	2	math	math	PROPN
ma-60	50	3	.	.	PUNCT
ma-60	51	1	anal	anal	PROPN
ma-60	51	2	.	.	PUNCT
ma-60	52	1	10.28924	10.28924	NUM
ma-60	52	2	/	/	SYM
ma-60	52	3	ada	ada	PROPN
ma-60	52	4	/	/	SYM
ma-60	52	5	ma.2.7	ma.2.7	PROPN
ma-60	52	6	3where	3where	NUM
ma-60	52	7	c	c	NOUN
ma-60	52	8	is	be	AUX
ma-60	52	9	a	a	DET
ma-60	52	10	constant	constant	ADJ
ma-60	52	11	independent	independent	NOUN
ma-60	52	12	of	of	ADP
ma-60	52	13	θ	θ	PROPN
ma-60	52	14	.	.	PUNCT
ma-60	53	1	a	a	DET
ma-60	53	2	contrast	contrast	NOUN
ma-60	53	3	for	for	ADP
ma-60	53	4	the	the	DET
ma-60	53	5	estimation	estimation	NOUN
ma-60	53	6	of	of	ADP
ma-60	53	7	θ	θ	PROPN
ma-60	53	8	is	be	AUX
ma-60	53	9	derived	derive	VERB
ma-60	53	10	from	from	ADP
ma-60	53	11	the	the	DET
ma-60	53	12	abovelog	abovelog	NOUN
ma-60	53	13	-	-	PUNCT
ma-60	53	14	likelihood	likelihood	NOUN
ma-60	53	15	by	by	ADP
ma-60	53	16	substituting	substitute	VERB
ma-60	53	17	{	{	PUNCT
ma-60	53	18	zti	zti	NOUN
ma-60	53	19	,	,	PUNCT
ma-60	53	20	0	0	NUM
ma-60	53	21	≤	≤	NUM
ma-60	53	22	i	i	PRON
ma-60	53	23	≤	≤	NOUN
ma-60	53	24	n	n	CCONJ
ma-60	53	25	}	}	PUNCT
ma-60	53	26	with	with	ADP
ma-60	53	27	{	{	PUNCT
ma-60	53	28	xti	xti	PROPN
ma-60	53	29	,	,	PUNCT
ma-60	53	30	0	0	NUM
ma-60	53	31	≤	≤	NUM
ma-60	53	32	i	i	PRON
ma-60	53	33	≤	≤	NOUN
ma-60	53	34	n	n	CCONJ
ma-60	53	35	}	}	PUNCT
ma-60	53	36	.	.	PUNCT
ma-60	54	1	the	the	DET
ma-60	54	2	resulting	result	VERB
ma-60	54	3	contrast	contrast	NOUN
ma-60	54	4	is	be	AUX
ma-60	54	5	hn	hn	PROPN
ma-60	54	6	,	,	PUNCT
ma-60	54	7	t	t	NOUN
ma-60	54	8	=	=	PUNCT
ma-60	55	1	c	c	PROPN
ma-60	55	2	n∑	n∑	NOUN
ma-60	55	3	i=1	i=1	PROPN
ma-60	56	1	[	[	PUNCT
ma-60	56	2	xti	xti	PROPN
ma-60	56	3	−xti−1	−xti−1	PROPN
ma-60	56	4	−	−	PROPN
ma-60	57	1	f	f	PROPN
ma-60	57	2	(	(	PUNCT
ma-60	57	3	θ	θ	PROPN
ma-60	57	4	,	,	PUNCT
ma-60	57	5	xti−1	xti−1	PROPN
ma-60	57	6	)	)	PUNCT
ma-60	57	7	h	h	NOUN
ma-60	57	8	]	]	X
ma-60	57	9	2	2	NUM
ma-60	57	10	∆ti	∆ti	NOUN
ma-60	57	11	.	.	PUNCT
ma-60	58	1	and	and	CCONJ
ma-60	58	2	the	the	DET
ma-60	58	3	resulting	result	VERB
ma-60	58	4	minimum	minimum	ADJ
ma-60	58	5	contrast	contrast	NOUN
ma-60	58	6	estimator	estimator	NOUN
ma-60	58	7	,	,	PUNCT
ma-60	58	8	called	call	VERB
ma-60	58	9	the	the	DET
ma-60	58	10	euler	euler	PROPN
ma-60	58	11	estimator	estimator	NOUN
ma-60	58	12	,	,	PUNCT
ma-60	58	13	is	be	AUX
ma-60	58	14	θ̌n	θ̌n	PROPN
ma-60	58	15	,	,	PUNCT
ma-60	58	16	t	t	NOUN
ma-60	58	17	:	:	PUNCT
ma-60	58	18	=	=	PUNCT
ma-60	58	19	arg	arg	NOUN
ma-60	58	20	min	min	PROPN
ma-60	58	21	θ∈θ	θ∈θ	NOUN
ma-60	58	22	hn	hn	PROPN
ma-60	58	23	,	,	PUNCT
ma-60	58	24	t	t	PROPN
ma-60	58	25	(	(	PUNCT
ma-60	58	26	θ	θ	NOUN
ma-60	58	27	)	)	PUNCT
ma-60	58	28	florens	floren	NOUN
ma-60	58	29	-	-	PUNCT
ma-60	58	30	zmirou	zmirou	NOUN
ma-60	58	31	(	(	PUNCT
ma-60	58	32	1989	1989	NUM
ma-60	58	33	)	)	PUNCT
ma-60	58	34	showed	show	VERB
ma-60	58	35	l2	l2	NOUN
ma-60	58	36	consistency	consistency	NOUN
ma-60	58	37	of	of	ADP
ma-60	58	38	the	the	DET
ma-60	58	39	estimator	estimator	NOUN
ma-60	58	40	as	as	ADP
ma-60	58	41	t	t	PROPN
ma-60	58	42	→∞	→∞	PROPN
ma-60	58	43	and	and	CCONJ
ma-60	58	44	t	t	PROPN
ma-60	58	45	n	n	PROPN
ma-60	58	46	→	→	SYM
ma-60	58	47	0.if	0.if	NUM
ma-60	58	48	continuous	continuous	ADJ
ma-60	58	49	observation	observation	NOUN
ma-60	58	50	of	of	ADP
ma-60	58	51	{	{	PUNCT
ma-60	58	52	xt	xt	ADP
ma-60	58	53	}	}	PUNCT
ma-60	58	54	on	on	ADP
ma-60	58	55	the	the	DET
ma-60	58	56	interval	interval	NOUN
ma-60	58	57	[	[	X
ma-60	58	58	0	0	NUM
ma-60	58	59	,	,	PUNCT
ma-60	58	60	t	t	PROPN
ma-60	58	61	]	]	PUNCT
ma-60	58	62	were	be	AUX
ma-60	58	63	available	available	ADJ
ma-60	58	64	,	,	PUNCT
ma-60	58	65	then	then	ADV
ma-60	58	66	the	the	DET
ma-60	58	67	likelihood	likelihood	NOUN
ma-60	58	68	functionof	functionof	PROPN
ma-60	58	69	θ	θ	PROPN
ma-60	58	70	would	would	AUX
ma-60	58	71	be	be	AUX
ma-60	58	72	lt	lt	PRON
ma-60	58	73	(	(	PUNCT
ma-60	58	74	θ	θ	NOUN
ma-60	58	75	)	)	PUNCT
ma-60	58	76	=	=	SYM
ma-60	58	77	exp	exp	NOUN
ma-60	58	78	{	{	PUNCT
ma-60	58	79	∫	∫	PROPN
ma-60	58	80	t	t	PROPN
ma-60	58	81	0	0	NUM
ma-60	59	1	f	f	PROPN
ma-60	59	2	(	(	PUNCT
ma-60	59	3	θ	θ	PROPN
ma-60	59	4	,	,	PUNCT
ma-60	59	5	xt)dxt	xt)dxt	PUNCT
ma-60	60	1	−	−	PROPN
ma-60	60	2	1	1	NUM
ma-60	60	3	2	2	NUM
ma-60	60	4	∫	∫	NOUN
ma-60	60	5	t	t	NOUN
ma-60	60	6	0	0	NUM
ma-60	60	7	f	f	PROPN
ma-60	60	8	2(θ	2(θ	NUM
ma-60	60	9	,	,	PUNCT
ma-60	60	10	xt)dt	xt)dt	PUNCT
ma-60	60	11	}	}	PUNCT
ma-60	60	12	,	,	PUNCT
ma-60	60	13	(	(	PUNCT
ma-60	60	14	1.2	1.2	NUM
ma-60	60	15	)	)	PUNCT
ma-60	60	16	(	(	PUNCT
ma-60	60	17	see	see	VERB
ma-60	60	18	liptser	liptser	NOUN
ma-60	60	19	and	and	CCONJ
ma-60	60	20	shiryayev	shiryayev	PROPN
ma-60	60	21	(	(	PUNCT
ma-60	60	22	1977	1977	NUM
ma-60	60	23	)	)	PUNCT
ma-60	60	24	)	)	PUNCT
ma-60	60	25	.	.	PUNCT
ma-60	61	1	in	in	ADP
ma-60	61	2	our	our	PRON
ma-60	61	3	case	case	NOUN
ma-60	61	4	we	we	PRON
ma-60	61	5	have	have	VERB
ma-60	61	6	discrete	discrete	ADJ
ma-60	61	7	data	datum	NOUN
ma-60	61	8	and	and	CCONJ
ma-60	61	9	we	we	PRON
ma-60	61	10	have	have	VERB
ma-60	61	11	to	to	PART
ma-60	61	12	approximatethe	approximatethe	DET
ma-60	61	13	likelihood	likelihood	NOUN
ma-60	61	14	to	to	PART
ma-60	61	15	get	get	VERB
ma-60	61	16	the	the	DET
ma-60	61	17	mle	mle	NOUN
ma-60	61	18	.	.	PUNCT
ma-60	62	1	taking	take	VERB
ma-60	62	2	itô	itô	ADJ
ma-60	62	3	type	type	NOUN
ma-60	62	4	approximation	approximation	NOUN
ma-60	62	5	of	of	ADP
ma-60	62	6	the	the	DET
ma-60	62	7	stochastic	stochastic	ADJ
ma-60	62	8	integral	integral	ADJ
ma-60	62	9	and	and	CCONJ
ma-60	62	10	rectanglerule	rectanglerule	ADJ
ma-60	62	11	approximation	approximation	NOUN
ma-60	62	12	of	of	ADP
ma-60	62	13	the	the	DET
ma-60	62	14	ordinary	ordinary	ADJ
ma-60	62	15	integral	integral	NOUN
ma-60	62	16	in	in	ADP
ma-60	62	17	(	(	PUNCT
ma-60	62	18	1.2	1.2	NUM
ma-60	62	19	)	)	PUNCT
ma-60	62	20	and	and	CCONJ
ma-60	62	21	obtain	obtain	VERB
ma-60	62	22	the	the	DET
ma-60	62	23	approximate	approximate	ADJ
ma-60	62	24	likelihood	likelihood	NOUN
ma-60	62	25	function	function	NOUN
ma-60	62	26	ln	ln	PROPN
ma-60	62	27	,	,	PUNCT
ma-60	62	28	t	t	PROPN
ma-60	62	29	(	(	PUNCT
ma-60	62	30	θ	θ	NOUN
ma-60	62	31	)	)	PUNCT
ma-60	62	32	=	=	SYM
ma-60	62	33	exp	exp	NOUN
ma-60	62	34	{	{	PUNCT
ma-60	62	35	n∑	n∑	NOUN
ma-60	62	36	i=1	i=1	PROPN
ma-60	62	37	f	f	PROPN
ma-60	62	38	(	(	PUNCT
ma-60	62	39	θ	θ	PROPN
ma-60	62	40	,	,	PUNCT
ma-60	62	41	xti−1	xti−1	PROPN
ma-60	62	42	)	)	PUNCT
ma-60	62	43	(	(	PUNCT
ma-60	62	44	xti	xti	PROPN
ma-60	62	45	−xti−1	−xti−1	PROPN
ma-60	62	46	)	)	PUNCT
ma-60	63	1	−	−	PROPN
ma-60	63	2	h	h	NOUN
ma-60	63	3	2	2	NUM
ma-60	63	4	n∑	n∑	NOUN
ma-60	63	5	i=1	i=1	PROPN
ma-60	63	6	f	f	PROPN
ma-60	63	7	2(θ	2(θ	NUM
ma-60	63	8	,	,	PUNCT
ma-60	63	9	xti−1	xti−1	PROPN
ma-60	63	10	)	)	PUNCT
ma-60	63	11	}	}	PUNCT
ma-60	63	12	.	.	PUNCT
ma-60	64	1	(	(	PUNCT
ma-60	64	2	1.3	1.3	NUM
ma-60	64	3	)	)	PUNCT
ma-60	64	4	an	an	DET
ma-60	64	5	approximate	approximate	ADJ
ma-60	64	6	maximum	maximum	ADJ
ma-60	64	7	likelihood	likelihood	NOUN
ma-60	64	8	estimate	estimate	NOUN
ma-60	64	9	(	(	PUNCT
ma-60	64	10	amle	amle	NOUN
ma-60	64	11	)	)	PUNCT
ma-60	64	12	based	base	VERB
ma-60	64	13	on	on	ADP
ma-60	64	14	ln	ln	PROPN
ma-60	64	15	,	,	PUNCT
ma-60	64	16	t	t	PROPN
ma-60	64	17	is	be	AUX
ma-60	64	18	defined	define	VERB
ma-60	64	19	as	as	ADP
ma-60	64	20	θ̂n	θ̂n	NOUN
ma-60	64	21	,	,	PUNCT
ma-60	64	22	t	t	NOUN
ma-60	64	23	:	:	PUNCT
ma-60	64	24	=	=	PUNCT
ma-60	64	25	arg	arg	NOUN
ma-60	64	26	max	max	PROPN
ma-60	64	27	θ∈θ	θ∈θ	NOUN
ma-60	64	28	ln	ln	PROPN
ma-60	64	29	,	,	PUNCT
ma-60	64	30	t	t	PROPN
ma-60	64	31	(	(	PUNCT
ma-60	64	32	θ	θ	NOUN
ma-60	64	33	)	)	PUNCT
ma-60	64	34	.	.	PUNCT
ma-60	65	1	weak	weak	ADJ
ma-60	65	2	consistency	consistency	NOUN
ma-60	65	3	and	and	CCONJ
ma-60	65	4	other	other	ADJ
ma-60	65	5	properties	property	NOUN
ma-60	65	6	of	of	ADP
ma-60	65	7	this	this	DET
ma-60	65	8	estimator	estimator	NOUN
ma-60	65	9	were	be	AUX
ma-60	65	10	studied	study	VERB
ma-60	65	11	by	by	ADP
ma-60	65	12	yoshida	yoshida	PROPN
ma-60	65	13	(	(	PUNCT
ma-60	65	14	1992	1992	NUM
ma-60	65	15	)	)	PUNCT
ma-60	65	16	as	as	ADP
ma-60	65	17	t	t	PROPN
ma-60	65	18	→∞and	→∞and	PROPN
ma-60	65	19	t	t	PROPN
ma-60	65	20	n	n	PROPN
ma-60	65	21	→	→	SYM
ma-60	65	22	0.note	0.note	NUM
ma-60	65	23	that	that	SCONJ
ma-60	65	24	the	the	DET
ma-60	65	25	clse	clse	NOUN
ma-60	65	26	,	,	PUNCT
ma-60	65	27	the	the	DET
ma-60	65	28	euler	euler	NOUN
ma-60	65	29	estimator	estimator	NOUN
ma-60	65	30	and	and	CCONJ
ma-60	65	31	the	the	DET
ma-60	65	32	amle1	amle1	PROPN
ma-60	65	33	are	be	AUX
ma-60	65	34	the	the	DET
ma-60	65	35	same	same	ADJ
ma-60	65	36	estimator	estimator	NOUN
ma-60	65	37	(	(	PUNCT
ma-60	65	38	see	see	VERB
ma-60	65	39	shoji(1997)).in	shoji(1997)).in	ADJ
ma-60	65	40	order	order	NOUN
ma-60	65	41	to	to	PART
ma-60	65	42	obtain	obtain	VERB
ma-60	65	43	a	a	DET
ma-60	65	44	better	well	ADJ
ma-60	65	45	estimator	estimator	NOUN
ma-60	65	46	,	,	PUNCT
ma-60	65	47	which	which	PRON
ma-60	65	48	may	may	AUX
ma-60	65	49	have	have	VERB
ma-60	65	50	faster	fast	ADJ
ma-60	65	51	rate	rate	NOUN
ma-60	65	52	of	of	ADP
ma-60	65	53	convergence	convergence	NOUN
ma-60	65	54	,	,	PUNCT
ma-60	65	55	we	we	PRON
ma-60	65	56	propose	propose	VERB
ma-60	65	57	anew	anew	ADJ
ma-60	65	58	algorithm	algorithm	NOUN
ma-60	65	59	.	.	PUNCT
ma-60	66	1	note	note	VERB
ma-60	66	2	that	that	SCONJ
ma-60	66	3	the	the	DET
ma-60	66	4	itô	itô	NOUN
ma-60	66	5	and	and	CCONJ
ma-60	66	6	the	the	DET
ma-60	66	7	stratonovich	stratonovich	NOUN
ma-60	66	8	integrals	integral	NOUN
ma-60	66	9	are	be	AUX
ma-60	66	10	connected	connect	VERB
ma-60	67	1	by∫	by∫	PROPN
ma-60	67	2	t	t	PROPN
ma-60	67	3	0	0	PUNCT
ma-60	67	4	f	f	PROPN
ma-60	67	5	(	(	PUNCT
ma-60	67	6	θ	θ	PROPN
ma-60	67	7	,	,	PUNCT
ma-60	67	8	xt)dxt	xt)dxt	PUNCT
ma-60	68	1	=	=	SYM
ma-60	68	2	∫	∫	PROPN
ma-60	68	3	t	t	PROPN
ma-60	68	4	0	0	NUM
ma-60	69	1	f	f	PROPN
ma-60	69	2	(	(	PUNCT
ma-60	69	3	θ	θ	PROPN
ma-60	69	4	,	,	PUNCT
ma-60	69	5	xt	xt	ADJ
ma-60	69	6	)	)	PUNCT
ma-60	70	1	o	o	NOUN
ma-60	71	1	dxt	dxt	PROPN
ma-60	71	2	−	−	NOUN
ma-60	71	3	1	1	NUM
ma-60	71	4	2	2	NUM
ma-60	71	5	∫	∫	NOUN
ma-60	71	6	t	t	NOUN
ma-60	71	7	0	0	NUM
ma-60	72	1	ḟ	ḟ	NOUN
ma-60	72	2	(	(	PUNCT
ma-60	72	3	θ	θ	PROPN
ma-60	72	4	,	,	PUNCT
ma-60	72	5	xt)dt	xt)dt	X
ma-60	72	6	.	.	PUNCT
ma-60	73	1	(	(	PUNCT
ma-60	73	2	see	see	VERB
ma-60	73	3	ikeda	ikeda	PROPN
ma-60	73	4	and	and	CCONJ
ma-60	73	5	watanabe	watanabe	PROPN
ma-60	73	6	(	(	PUNCT
ma-60	73	7	1989	1989	NUM
ma-60	73	8	)	)	PUNCT
ma-60	73	9	)	)	PUNCT
ma-60	73	10	.	.	PUNCT
ma-60	74	1	we	we	PRON
ma-60	74	2	transform	transform	VERB
ma-60	74	3	the	the	DET
ma-60	74	4	itô	itô	NOUN
ma-60	74	5	integral	integral	ADJ
ma-60	74	6	in	in	ADP
ma-60	74	7	(	(	PUNCT
ma-60	74	8	1.2	1.2	NUM
ma-60	74	9	)	)	PUNCT
ma-60	74	10	to	to	ADP
ma-60	74	11	stratonovich	stratonovich	NOUN
ma-60	74	12	integraland	integraland	NOUN
ma-60	74	13	apply	apply	VERB
ma-60	74	14	stratonovich	stratonovich	ADJ
ma-60	74	15	type	type	NOUN
ma-60	74	16	approximation	approximation	NOUN
ma-60	74	17	of	of	ADP
ma-60	74	18	the	the	DET
ma-60	74	19	stochastic	stochastic	ADJ
ma-60	74	20	integral	integral	ADJ
ma-60	74	21	and	and	CCONJ
ma-60	74	22	rectangular	rectangular	ADJ
ma-60	74	23	rule	rule	NOUN
ma-60	74	24	typeapproximation	typeapproximation	NOUN
ma-60	74	25	of	of	ADP
ma-60	74	26	the	the	DET
ma-60	74	27	ordinary	ordinary	ADJ
ma-60	74	28	integrals	integral	NOUN
ma-60	74	29	and	and	CCONJ
ma-60	74	30	obtain	obtain	VERB
ma-60	74	31	the	the	DET
ma-60	74	32	approximate	approximate	ADJ
ma-60	74	33	likelihood	likelihood	NOUN
ma-60	74	34	l̃n	l̃n	PROPN
ma-60	74	35	,	,	PUNCT
ma-60	74	36	t	t	PROPN
ma-60	74	37	(	(	PUNCT
ma-60	74	38	θ	θ	NOUN
ma-60	74	39	)	)	PUNCT
ma-60	74	40	=	=	SYM
ma-60	74	41	exp	exp	NOUN
ma-60	74	42	{	{	PUNCT
ma-60	74	43	1	1	NUM
ma-60	74	44	2	2	NUM
ma-60	74	45	n∑	n∑	NOUN
ma-60	74	46	i=1	i=1	PROPN
ma-60	75	1	(	(	PUNCT
ma-60	75	2	f	f	PROPN
ma-60	75	3	(	(	PUNCT
ma-60	75	4	θ	θ	PROPN
ma-60	75	5	,	,	PUNCT
ma-60	75	6	xti−1	xti−1	PROPN
ma-60	75	7	)	)	PUNCT
ma-60	76	1	+	+	CCONJ
ma-60	76	2	f	f	PROPN
ma-60	76	3	(	(	PUNCT
ma-60	76	4	θ	θ	PROPN
ma-60	76	5	,	,	PUNCT
ma-60	76	6	xti	xti	PROPN
ma-60	76	7	)	)	PUNCT
ma-60	76	8	)	)	PUNCT
ma-60	76	9	(	(	PUNCT
ma-60	76	10	xti	xti	PROPN
ma-60	76	11	−xti−1	−xti−1	PROPN
ma-60	76	12	)	)	PUNCT
ma-60	77	1	−	−	NOUN
ma-60	77	2	h	h	NOUN
ma-60	77	3	2	2	NUM
ma-60	77	4	n∑	n∑	NOUN
ma-60	77	5	i=1	i=1	PROPN
ma-60	77	6	(	(	PUNCT
ma-60	77	7	ḟ	ḟ	NOUN
ma-60	77	8	(	(	PUNCT
ma-60	77	9	θ	θ	PROPN
ma-60	77	10	,	,	PUNCT
ma-60	77	11	xti−1	xti−1	PROPN
ma-60	77	12	)	)	PUNCT
ma-60	78	1	+	+	CCONJ
ma-60	78	2	f	f	PROPN
ma-60	78	3	2(θ	2(θ	NUM
ma-60	78	4	,	,	PUNCT
ma-60	78	5	xti−1	xti−1	PROPN
ma-60	78	6	)	)	PUNCT
ma-60	78	7	)	)	PUNCT
ma-60	78	8	}	}	PUNCT
ma-60	78	9	.	.	PUNCT
ma-60	79	1	(	(	PUNCT
ma-60	79	2	1.4	1.4	NUM
ma-60	79	3	)	)	PUNCT
ma-60	79	4	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	79	5	eur	eur	NOUN
ma-60	79	6	.	.	PUNCT
ma-60	80	1	j.	j.	PROPN
ma-60	80	2	math	math	PROPN
ma-60	80	3	.	.	PUNCT
ma-60	81	1	anal	anal	PROPN
ma-60	81	2	.	.	PUNCT
ma-60	82	1	10.28924	10.28924	NUM
ma-60	82	2	/	/	SYM
ma-60	82	3	ada	ada	PROPN
ma-60	82	4	/	/	SYM
ma-60	82	5	ma.2.7	ma.2.7	PROPN
ma-60	82	6	4	4	NUM
ma-60	82	7	the	the	DET
ma-60	82	8	stratonovich	stratonovich	NOUN
ma-60	82	9	approximate	approximate	ADJ
ma-60	82	10	maximum	maximum	ADJ
ma-60	82	11	likelihood	likelihood	NOUN
ma-60	82	12	estimator	estimator	NOUN
ma-60	82	13	(	(	PUNCT
ma-60	82	14	samle	samle	PROPN
ma-60	82	15	)	)	PUNCT
ma-60	82	16	based	base	VERB
ma-60	82	17	on	on	ADP
ma-60	82	18	∼ln	∼ln	PROPN
ma-60	82	19	,	,	PUNCT
ma-60	82	20	t	t	PROPN
ma-60	82	21	is	be	AUX
ma-60	82	22	defined	define	VERB
ma-60	82	23	as	as	ADP
ma-60	82	24	θ̃n	θ̃n	NUM
ma-60	82	25	,	,	PUNCT
ma-60	82	26	t	t	NOUN
ma-60	82	27	:	:	PUNCT
ma-60	82	28	=	=	PUNCT
ma-60	82	29	arg	arg	NOUN
ma-60	82	30	max	max	PROPN
ma-60	82	31	θ∈θ	θ∈θ	NOUN
ma-60	82	32	∼	∼	NOUN
ma-60	82	33	ln	ln	ADJ
ma-60	82	34	,	,	PUNCT
ma-60	82	35	t	t	PROPN
ma-60	82	36	(	(	PUNCT
ma-60	82	37	θ	θ	PROPN
ma-60	82	38	)	)	PUNCT
ma-60	82	39	.	.	PUNCT
ma-60	83	1	this	this	DET
ma-60	83	2	estimator	estimator	NOUN
ma-60	83	3	is	be	AUX
ma-60	83	4	known	know	VERB
ma-60	83	5	to	to	PART
ma-60	83	6	have	have	VERB
ma-60	83	7	faster	fast	ADJ
ma-60	83	8	rate	rate	NOUN
ma-60	83	9	of	of	ADP
ma-60	83	10	convergence	convergence	NOUN
ma-60	83	11	(	(	PUNCT
ma-60	83	12	in	in	ADP
ma-60	83	13	the	the	DET
ma-60	83	14	mean	mean	ADJ
ma-60	83	15	square	square	ADJ
ma-60	83	16	sense	sense	NOUN
ma-60	83	17	)	)	PUNCT
ma-60	83	18	than	than	ADP
ma-60	83	19	theconditional	theconditional	ADJ
ma-60	83	20	least	least	ADJ
ma-60	83	21	squares	square	NOUN
ma-60	83	22	estimator	estimator	NOUN
ma-60	83	23	,	,	PUNCT
ma-60	83	24	see	see	VERB
ma-60	83	25	bishwal	bishwal	NOUN
ma-60	83	26	(	(	PUNCT
ma-60	83	27	2009b).for	2009b).for	NUM
ma-60	83	28	monte	monte	PROPN
ma-60	83	29	carlo	carlo	PROPN
ma-60	83	30	simulations	simulation	NOUN
ma-60	83	31	in	in	ADP
ma-60	83	32	finance	finance	NOUN
ma-60	83	33	,	,	PUNCT
ma-60	83	34	one	one	PRON
ma-60	83	35	would	would	AUX
ma-60	83	36	be	be	AUX
ma-60	83	37	interested	interested	ADJ
ma-60	83	38	for	for	ADP
ma-60	83	39	pathwise	pathwise	NOUN
ma-60	83	40	convergence	convergence	NOUN
ma-60	83	41	ofthe	ofthe	NOUN
ma-60	83	42	estimator	estimator	NOUN
ma-60	83	43	.	.	PUNCT
ma-60	84	1	in	in	ADP
ma-60	84	2	this	this	DET
ma-60	84	3	paper	paper	NOUN
ma-60	84	4	prove	prove	VERB
ma-60	84	5	the	the	DET
ma-60	84	6	strong	strong	ADJ
ma-60	84	7	consistency	consistency	NOUN
ma-60	84	8	of	of	ADP
ma-60	84	9	the	the	DET
ma-60	84	10	samle	samle	NOUN
ma-60	84	11	under	under	ADP
ma-60	84	12	some	some	DET
ma-60	84	13	regularityconditions	regularitycondition	NOUN
ma-60	84	14	given	give	VERB
ma-60	84	15	below	below	ADV
ma-60	84	16	as	as	ADP
ma-60	84	17	n	n	PROPN
ma-60	84	18	→	→	SYM
ma-60	84	19	∞.	∞.	PROPN
ma-60	84	20	we	we	PRON
ma-60	84	21	shall	shall	AUX
ma-60	84	22	use	use	VERB
ma-60	84	23	the	the	DET
ma-60	84	24	following	follow	VERB
ma-60	84	25	notations	notation	NOUN
ma-60	84	26	:	:	PUNCT
ma-60	84	27	∆xi	∆xi	PROPN
ma-60	84	28	=	=	PUNCT
ma-60	84	29	xti	xti	PROPN
ma-60	85	1	−	−	PROPN
ma-60	85	2	xti−1	xti−1	PROPN
ma-60	85	3	,	,	PUNCT
ma-60	85	4	∆wi	∆wi	PROPN
ma-60	85	5	=	=	PROPN
ma-60	85	6	wti	wti	PROPN
ma-60	85	7	−	−	PROPN
ma-60	85	8	wti−1	wti−1	PROPN
ma-60	85	9	,	,	PUNCT
ma-60	85	10	c	c	PROPN
ma-60	85	11	is	be	AUX
ma-60	85	12	a	a	DET
ma-60	85	13	generic	generic	ADJ
ma-60	85	14	constant	constant	ADJ
ma-60	85	15	independent	independent	NOUN
ma-60	85	16	of	of	ADP
ma-60	85	17	h	h	NOUN
ma-60	85	18	,	,	PUNCT
ma-60	85	19	n	n	PROPN
ma-60	85	20	and	and	CCONJ
ma-60	85	21	other	other	ADJ
ma-60	85	22	variables	variable	NOUN
ma-60	85	23	(	(	PUNCT
ma-60	85	24	perhaps	perhaps	ADV
ma-60	85	25	itmay	itmay	AUX
ma-60	85	26	depend	depend	VERB
ma-60	85	27	on	on	ADP
ma-60	85	28	θ	θ	PROPN
ma-60	85	29	)	)	PUNCT
ma-60	85	30	.	.	PUNCT
ma-60	86	1	prime	prime	PROPN
ma-60	86	2	denotes	denotes	PROPN
ma-60	86	3	derivative	derivative	ADJ
ma-60	86	4	w.r.t	w.r.t	NOUN
ma-60	86	5	.	.	PUNCT
ma-60	87	1	θ	θ	NOUN
ma-60	87	2	and	and	CCONJ
ma-60	87	3	dot	dot	NOUN
ma-60	87	4	denotes	denote	NOUN
ma-60	87	5	derivative	derivative	ADJ
ma-60	87	6	w.r.t	w.r.t	NOUN
ma-60	87	7	.	.	PUNCT
ma-60	88	1	x	x	X
ma-60	88	2	.	.	PUNCT
ma-60	89	1	supposethat	supposethat	PROPN
ma-60	89	2	θ0	θ0	PROPN
ma-60	89	3	denote	denote	VERB
ma-60	89	4	the	the	DET
ma-60	89	5	true	true	ADJ
ma-60	89	6	value	value	NOUN
ma-60	89	7	of	of	ADP
ma-60	89	8	the	the	DET
ma-60	89	9	parameter	parameter	NOUN
ma-60	89	10	and	and	CCONJ
ma-60	89	11	θ0	θ0	PROPN
ma-60	89	12	∈	∈	PROPN
ma-60	89	13	θ	θ	PROPN
ma-60	89	14	.	.	PUNCT
ma-60	90	1	we	we	PRON
ma-60	90	2	assume	assume	VERB
ma-60	90	3	the	the	DET
ma-60	90	4	following	follow	VERB
ma-60	90	5	conditions:(a1	conditions:(a1	NOUN
ma-60	90	6	)	)	PUNCT
ma-60	90	7	the	the	DET
ma-60	90	8	parameter	parameter	NOUN
ma-60	90	9	space	space	NOUN
ma-60	90	10	θ	θ	PROPN
ma-60	90	11	is	be	AUX
ma-60	90	12	compact.(a2	compact.(a2	PROPN
ma-60	90	13	)	)	PUNCT
ma-60	90	14	|f	|f	PROPN
ma-60	90	15	(	(	PUNCT
ma-60	90	16	θ	θ	PROPN
ma-60	90	17	,	,	PUNCT
ma-60	90	18	x)|	x)|	PROPN
ma-60	90	19	≤	≤	ADJ
ma-60	90	20	k(θ)(1	k(θ)(1	PROPN
ma-60	91	1	+	+	CCONJ
ma-60	91	2	|x	|x	NOUN
ma-60	91	3	|	|	ADV
ma-60	91	4	)	)	PUNCT
ma-60	91	5	,	,	PUNCT
ma-60	91	6	|f	|f	PROPN
ma-60	91	7	(	(	PUNCT
ma-60	91	8	θ	θ	PROPN
ma-60	91	9	,	,	PUNCT
ma-60	91	10	x)−	x)−	PROPN
ma-60	91	11	f	f	PROPN
ma-60	91	12	(	(	PUNCT
ma-60	91	13	θ	θ	PROPN
ma-60	91	14	,	,	PUNCT
ma-60	91	15	y)|	y)|	PROPN
ma-60	91	16	≤	≤	NOUN
ma-60	91	17	k(θ)|x	k(θ)|x	PROPN
ma-60	92	1	−	−	PROPN
ma-60	92	2	y	y	PROPN
ma-60	92	3	|	|	NOUN
ma-60	92	4	.	.	PUNCT
ma-60	93	1	|f	|f	PROPN
ma-60	93	2	(	(	PUNCT
ma-60	93	3	θ	θ	PROPN
ma-60	93	4	,	,	PUNCT
ma-60	93	5	x)−	x)−	PROPN
ma-60	93	6	f	f	PROPN
ma-60	93	7	(	(	PUNCT
ma-60	93	8	φ	φ	PROPN
ma-60	93	9	,	,	PUNCT
ma-60	93	10	y)|	y)|	PROPN
ma-60	93	11	≤	≤	PROPN
ma-60	93	12	c(x)|θ	c(x)|θ	PROPN
ma-60	94	1	−	−	PROPN
ma-60	94	2	φ|	φ|	PROPN
ma-60	94	3	for	for	ADP
ma-60	94	4	all	all	DET
ma-60	94	5	θ	θ	PROPN
ma-60	94	6	,	,	PUNCT
ma-60	94	7	φ	φ	PROPN
ma-60	94	8	∈	∈	PROPN
ma-60	94	9	θ	θ	PROPN
ma-60	94	10	,	,	PUNCT
ma-60	94	11	x	x	PRON
ma-60	94	12	,	,	PUNCT
ma-60	94	13	y	y	PROPN
ma-60	94	14	∈	∈	PROPN
ma-60	94	15	r	r	NOUN
ma-60	94	16	where	where	SCONJ
ma-60	94	17	sup	sup	NOUN
ma-60	94	18	θ∈θ	θ∈θ	NOUN
ma-60	94	19	|k(θ)|	|k(θ)|	NOUN
ma-60	94	20	=	=	SYM
ma-60	94	21	k	k	PROPN
ma-60	94	22	<	<	X
ma-60	94	23	∞	∞	PROPN
ma-60	94	24	,	,	PUNCT
ma-60	94	25	e|c(x0)|m	e|c(x0)|m	X
ma-60	94	26	=	=	SYM
ma-60	94	27	cm	cm	NOUN
ma-60	94	28	<	<	X
ma-60	94	29	∞	∞	PROPN
ma-60	94	30	for	for	ADP
ma-60	94	31	some	some	DET
ma-60	94	32	m	m	NOUN
ma-60	94	33	>	>	X
ma-60	94	34	16	16	NUM
ma-60	94	35	.	.	PUNCT
ma-60	95	1	(	(	PUNCT
ma-60	95	2	a3	a3	NOUN
ma-60	95	3	)	)	PUNCT
ma-60	95	4	the	the	DET
ma-60	95	5	diffusion	diffusion	NOUN
ma-60	95	6	process	process	NOUN
ma-60	95	7	x	x	PRON
ma-60	95	8	is	be	AUX
ma-60	95	9	stationary	stationary	ADJ
ma-60	95	10	and	and	CCONJ
ma-60	95	11	ergodic	ergodic	ADJ
ma-60	95	12	with	with	ADP
ma-60	95	13	invariant	invariant	ADJ
ma-60	95	14	measure	measure	NOUN
ma-60	95	15	ν	ν	NOUN
ma-60	95	16	,	,	PUNCT
ma-60	95	17	i.e.	i.e.	X
ma-60	95	18	,	,	PUNCT
ma-60	95	19	for	for	ADP
ma-60	95	20	any	any	DET
ma-60	95	21	gwith	gwith	NOUN
ma-60	95	22	e[g	e[g	ADV
ma-60	95	23	(	(	PUNCT
ma-60	95	24	·	·	PUNCT
ma-60	95	25	)	)	PUNCT
ma-60	95	26	]	]	PUNCT
ma-60	96	1	<	<	X
ma-60	96	2	∞	∞	PROPN
ma-60	96	3	1	1	NUM
ma-60	96	4	n	n	NUM
ma-60	96	5	n∑	n∑	PROPN
ma-60	96	6	i=1	i=1	PROPN
ma-60	96	7	g(xti	g(xti	PROPN
ma-60	96	8	)	)	PUNCT
ma-60	96	9	→	→	SYM
ma-60	96	10	eν	eν	X
ma-60	97	1	[	[	X
ma-60	97	2	g(x0	g(x0	NOUN
ma-60	97	3	)	)	PUNCT
ma-60	97	4	]	]	PUNCT
ma-60	98	1	a.s	a.s	PROPN
ma-60	98	2	.	.	PROPN
ma-60	98	3	as	as	ADP
ma-60	98	4	t	t	PROPN
ma-60	98	5	→∞	→∞	PROPN
ma-60	98	6	and	and	CCONJ
ma-60	98	7	h	h	NOUN
ma-60	98	8	→	→	SYM
ma-60	98	9	0	0	X
ma-60	98	10	.	.	PUNCT
ma-60	98	11	further	further	ADJ
ma-60	98	12	e|x0|m	e|x0|m	X
ma-60	98	13	<	<	X
ma-60	98	14	∞	∞	NUM
ma-60	98	15	for	for	ADP
ma-60	98	16	some	some	DET
ma-60	98	17	m	m	NOUN
ma-60	98	18	>	>	X
ma-60	98	19	16.(a4	16.(a4	NUM
ma-60	98	20	)	)	PUNCT
ma-60	98	21	e|f	e|f	NOUN
ma-60	98	22	(	(	PUNCT
ma-60	98	23	θ	θ	NOUN
ma-60	98	24	,	,	PUNCT
ma-60	98	25	x0)−	x0)−	PROPN
ma-60	98	26	f	f	PROPN
ma-60	98	27	(	(	PUNCT
ma-60	98	28	θ	θ	PROPN
ma-60	98	29	,	,	PUNCT
ma-60	98	30	x0)|2	x0)|2	PROPN
ma-60	98	31	=	=	SYM
ma-60	98	32	0	0	PROPN
ma-60	98	33	iff	iff	PROPN
ma-60	98	34	θ	θ	PROPN
ma-60	98	35	=	=	PUNCT
ma-60	98	36	θ0.(a5	θ0.(a5	ADV
ma-60	98	37	)	)	PUNCT
ma-60	98	38	f	f	PROPN
ma-60	98	39	is	be	AUX
ma-60	98	40	twice	twice	ADV
ma-60	98	41	continuously	continuously	ADV
ma-60	98	42	differentiable	differentiable	ADJ
ma-60	98	43	function	function	NOUN
ma-60	98	44	in	in	ADP
ma-60	98	45	x	x	PUNCT
ma-60	98	46	with	with	ADP
ma-60	98	47	e	e	NOUN
ma-60	98	48	sup	sup	NOUN
ma-60	98	49	t	t	PROPN
ma-60	98	50	|ḟ	|ḟ	PROPN
ma-60	98	51	(	(	PUNCT
ma-60	98	52	xt)|2	xt)|2	PROPN
ma-60	98	53	<	<	X
ma-60	98	54	∞	∞	PROPN
ma-60	98	55	,	,	PUNCT
ma-60	98	56	e	e	PROPN
ma-60	98	57	sup	sup	NOUN
ma-60	98	58	t	t	PROPN
ma-60	98	59	|f̈	|f̈	X
ma-60	98	60	(	(	PUNCT
ma-60	98	61	xt)|2	xt)|2	PROPN
ma-60	98	62	<	<	X
ma-60	98	63	∞.	∞.	PROPN
ma-60	98	64	2	2	NUM
ma-60	98	65	.	.	PUNCT
ma-60	98	66	main	main	ADJ
ma-60	98	67	results	result	NOUN
ma-60	98	68	we	we	PRON
ma-60	98	69	shall	shall	AUX
ma-60	98	70	use	use	VERB
ma-60	98	71	the	the	DET
ma-60	98	72	following	following	NOUN
ma-60	98	73	theorem	theorem	NOUN
ma-60	98	74	to	to	PART
ma-60	98	75	prove	prove	VERB
ma-60	98	76	the	the	DET
ma-60	98	77	strong	strong	ADJ
ma-60	98	78	consistency	consistency	NOUN
ma-60	98	79	of	of	ADP
ma-60	98	80	the	the	DET
ma-60	98	81	samle	samle	PROPN
ma-60	98	82	.	.	PUNCT
ma-60	99	1	theorem	theorem	VERB
ma-60	99	2	2.1	2.1	NUM
ma-60	99	3	(	(	PUNCT
ma-60	99	4	frydman	frydman	NOUN
ma-60	99	5	(	(	PUNCT
ma-60	99	6	1980	1980	NUM
ma-60	99	7	)	)	PUNCT
ma-60	99	8	.	.	PUNCT
ma-60	100	1	suppose	suppose	VERB
ma-60	100	2	the	the	DET
ma-60	100	3	random	random	ADJ
ma-60	100	4	function	function	NOUN
ma-60	100	5	dn	dn	PART
ma-60	100	6	satisfy	satisfy	VERB
ma-60	100	7	the	the	DET
ma-60	100	8	following	follow	VERB
ma-60	100	9	conditions	condition	NOUN
ma-60	100	10	:	:	PUNCT
ma-60	100	11	(	(	PUNCT
ma-60	100	12	c1	c1	PROPN
ma-60	100	13	)	)	PUNCT
ma-60	100	14	with	with	ADP
ma-60	100	15	probability	probability	NOUN
ma-60	100	16	one	one	NUM
ma-60	100	17	,	,	PUNCT
ma-60	100	18	dn(θ)→	dn(θ)→	PROPN
ma-60	100	19	d(θ	d(θ	PROPN
ma-60	100	20	)	)	PUNCT
ma-60	100	21	uniformly	uniformly	ADV
ma-60	100	22	in	in	ADP
ma-60	100	23	θ	θ	PROPN
ma-60	100	24	∈	∈	PROPN
ma-60	100	25	θ	θ	PROPN
ma-60	100	26	as	as	ADP
ma-60	100	27	n	n	PROPN
ma-60	100	28	→∞.	→∞.	PROPN
ma-60	100	29	(	(	PUNCT
ma-60	100	30	c2	c2	PROPN
ma-60	100	31	)	)	PUNCT
ma-60	100	32	the	the	DET
ma-60	100	33	limiting	limit	VERB
ma-60	100	34	nonrandom	nonrandom	NOUN
ma-60	100	35	function	function	NOUN
ma-60	100	36	d	d	NOUN
ma-60	100	37	is	be	AUX
ma-60	100	38	such	such	ADJ
ma-60	100	39	that	that	PRON
ma-60	100	40	d(θ0	d(θ0	NOUN
ma-60	100	41	)	)	PUNCT
ma-60	100	42	≥	≥	PROPN
ma-60	100	43	d(θ	d(θ	PROPN
ma-60	100	44	)	)	PUNCT
ma-60	100	45	for	for	ADP
ma-60	100	46	all	all	DET
ma-60	100	47	θ	θ	NOUN
ma-60	100	48	∈	∈	PROPN
ma-60	100	49	θ	θ	PROPN
ma-60	100	50	.	.	PUNCT
ma-60	101	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	101	2	eur	eur	NOUN
ma-60	101	3	.	.	PUNCT
ma-60	102	1	j.	j.	PROPN
ma-60	102	2	math	math	PROPN
ma-60	102	3	.	.	PUNCT
ma-60	103	1	anal	anal	PROPN
ma-60	103	2	.	.	PUNCT
ma-60	104	1	10.28924	10.28924	NUM
ma-60	104	2	/	/	SYM
ma-60	104	3	ada	ada	PROPN
ma-60	104	4	/	/	SYM
ma-60	104	5	ma.2.7	ma.2.7	PROPN
ma-60	104	6	5	5	NUM
ma-60	104	7	(	(	PUNCT
ma-60	104	8	c3	c3	PROPN
ma-60	104	9	)	)	PUNCT
ma-60	104	10	d(θ	d(θ	PROPN
ma-60	104	11	)	)	PUNCT
ma-60	105	1	=	=	PUNCT
ma-60	105	2	d(θ0	d(θ0	PROPN
ma-60	105	3	)	)	PUNCT
ma-60	105	4	iff	iff	PROPN
ma-60	105	5	θ	θ	PROPN
ma-60	105	6	=	=	SYM
ma-60	105	7	θ0	θ0	PROPN
ma-60	105	8	.	.	PUNCT
ma-60	106	1	then	then	ADV
ma-60	106	2	θn	θn	PROPN
ma-60	106	3	→	→	SYM
ma-60	106	4	θ0	θ0	PROPN
ma-60	106	5	a.s	a.s	PROPN
ma-60	106	6	.	.	PROPN
ma-60	106	7	as	as	ADP
ma-60	106	8	n	n	PROPN
ma-60	106	9	→∞	→∞	PROPN
ma-60	106	10	,	,	PUNCT
ma-60	106	11	where	where	SCONJ
ma-60	106	12	θn	θn	ADP
ma-60	106	13	=	=	ADJ
ma-60	106	14	supθ∈θdn(θ	supθ∈θdn(θ	NOUN
ma-60	106	15	)	)	PUNCT
ma-60	106	16	.	.	PUNCT
ma-60	107	1	we	we	PRON
ma-60	107	2	need	need	VERB
ma-60	107	3	the	the	DET
ma-60	107	4	following	follow	VERB
ma-60	107	5	lemmas	lemma	NOUN
ma-60	107	6	in	in	ADP
ma-60	107	7	order	order	NOUN
ma-60	107	8	to	to	PART
ma-60	107	9	prove	prove	VERB
ma-60	107	10	our	our	PRON
ma-60	107	11	main	main	ADJ
ma-60	107	12	result	result	NOUN
ma-60	107	13	.	.	PUNCT
ma-60	108	1	lemma	lemma	PROPN
ma-60	108	2	2.1	2.1	NUM
ma-60	108	3	under	under	ADP
ma-60	108	4	(	(	PUNCT
ma-60	108	5	a1)(a5	a1)(a5	NUM
ma-60	108	6	)	)	PUNCT
ma-60	108	7	,	,	PUNCT
ma-60	108	8	sup	sup	NOUN
ma-60	108	9	θ∈θ	θ∈θ	NOUN
ma-60	108	10	1	1	NUM
ma-60	108	11	2	2	NUM
ma-60	108	12	t	t	NOUN
ma-60	108	13	{	{	PUNCT
ma-60	108	14	n∑	n∑	NOUN
ma-60	108	15	i=1	i=1	PROPN
ma-60	108	16	[	[	PUNCT
ma-60	108	17	v(θ	v(θ	PROPN
ma-60	108	18	,	,	PUNCT
ma-60	108	19	xti−1	xti−1	PROPN
ma-60	108	20	)	)	PUNCT
ma-60	109	1	+	+	CCONJ
ma-60	109	2	v(θ	v(θ	PROPN
ma-60	109	3	,	,	PUNCT
ma-60	109	4	xti	xti	PROPN
ma-60	109	5	)	)	PUNCT
ma-60	109	6	]	]	PUNCT
ma-60	110	1	∆wi	∆wi	PROPN
ma-60	110	2	−	−	PROPN
ma-60	110	3	h	h	NOUN
ma-60	110	4	2	2	NUM
ma-60	110	5	n∑	n∑	NOUN
ma-60	110	6	i=1	i=1	X
ma-60	111	1	[	[	PUNCT
ma-60	111	2	v̇(θ	v̇(θ	NOUN
ma-60	111	3	,	,	PUNCT
ma-60	111	4	xti−1	xti−1	PROPN
ma-60	111	5	)	)	PUNCT
ma-60	112	1	+	+	CCONJ
ma-60	113	1	v̇(θ	v̇(θ	ADJ
ma-60	113	2	,	,	PUNCT
ma-60	113	3	xti	xti	PROPN
ma-60	113	4	)	)	PUNCT
ma-60	114	1	]	]	PUNCT
ma-60	114	2	}	}	PUNCT
ma-60	114	3	→	→	SYM
ma-60	114	4	0	0	NUM
ma-60	114	5	a.s	a.s	AUX
ma-60	114	6	.	.	PROPN
ma-60	114	7	as	as	ADP
ma-60	114	8	t	t	PROPN
ma-60	114	9	→∞	→∞	PROPN
ma-60	114	10	,	,	PUNCT
ma-60	114	11	tn	tn	PROPN
ma-60	114	12	→	→	SYM
ma-60	114	13	0	0	X
ma-60	114	14	.	.	PUNCT
ma-60	114	15	proof	proof	NOUN
ma-60	114	16	.	.	PUNCT
ma-60	115	1	let	let	VERB
ma-60	115	2	v(θ	v(θ	PROPN
ma-60	115	3	,	,	PUNCT
ma-60	115	4	x	x	NOUN
ma-60	115	5	)	)	PUNCT
ma-60	115	6	:	:	PUNCT
ma-60	116	1	=	=	SYM
ma-60	116	2	f	f	X
ma-60	116	3	(	(	PUNCT
ma-60	116	4	θ	θ	PROPN
ma-60	116	5	,	,	PUNCT
ma-60	116	6	x)−	x)−	PROPN
ma-60	116	7	f	f	PROPN
ma-60	116	8	(	(	PUNCT
ma-60	116	9	θ0	θ0	PROPN
ma-60	116	10	,	,	PUNCT
ma-60	116	11	x	x	NOUN
ma-60	116	12	)	)	PUNCT
ma-60	116	13	.	.	PUNCT
ma-60	117	1	the	the	DET
ma-60	117	2	fourier	fourier	ADJ
ma-60	117	3	expansion	expansion	NOUN
ma-60	117	4	of	of	ADP
ma-60	117	5	v(θ	v(θ	PROPN
ma-60	117	6	,	,	PUNCT
ma-60	117	7	x	x	NOUN
ma-60	117	8	)	)	PUNCT
ma-60	117	9	in	in	ADP
ma-60	117	10	l(θ	l(θ	NOUN
ma-60	117	11	)	)	PUNCT
ma-60	117	12	be	be	AUX
ma-60	117	13	given	give	VERB
ma-60	117	14	by	by	ADP
ma-60	117	15	v(θ	v(θ	PROPN
ma-60	117	16	,	,	PUNCT
ma-60	117	17	x	x	NOUN
ma-60	117	18	)	)	PUNCT
ma-60	117	19	=	=	PUNCT
ma-60	118	1	∞∑	∞∑	NUM
ma-60	118	2	m=1	m=1	X
ma-60	118	3	am(x)eπjmθ	am(x)eπjmθ	NOUN
ma-60	118	4	,	,	PUNCT
ma-60	118	5	j	j	PROPN
ma-60	118	6	=	=	NOUN
ma-60	118	7	√	√	NUM
ma-60	118	8	−1	−1	NOUN
ma-60	118	9	,	,	PUNCT
ma-60	118	10	x	x	PUNCT
ma-60	118	11	∈	∈	NOUN
ma-60	118	12	r	r	NOUN
ma-60	118	13	where	where	SCONJ
ma-60	118	14	ak(x	ak(x	NOUN
ma-60	118	15	)	)	PUNCT
ma-60	118	16	are	be	AUX
ma-60	118	17	the	the	DET
ma-60	118	18	fourier	fourier	ADJ
ma-60	118	19	coefficients	coefficient	NOUN
ma-60	118	20	.	.	PUNCT
ma-60	119	1	thus	thus	ADV
ma-60	119	2	1	1	NUM
ma-60	119	3	2	2	NUM
ma-60	119	4	t	t	NOUN
ma-60	119	5	{	{	PUNCT
ma-60	119	6	n∑	n∑	NOUN
ma-60	119	7	i=1	i=1	PROPN
ma-60	119	8	[	[	PUNCT
ma-60	119	9	v(θ	v(θ	PROPN
ma-60	119	10	,	,	PUNCT
ma-60	119	11	xti−1	xti−1	PROPN
ma-60	119	12	)	)	PUNCT
ma-60	120	1	+	+	CCONJ
ma-60	120	2	v(θ	v(θ	PROPN
ma-60	120	3	,	,	PUNCT
ma-60	120	4	xti	xti	PROPN
ma-60	120	5	)	)	PUNCT
ma-60	120	6	]	]	PUNCT
ma-60	121	1	∆wi	∆wi	PROPN
ma-60	121	2	−	−	PROPN
ma-60	121	3	h	h	NOUN
ma-60	121	4	2	2	NUM
ma-60	121	5	n∑	n∑	NOUN
ma-60	121	6	i=1	i=1	X
ma-60	122	1	[	[	PUNCT
ma-60	122	2	v̇(θ	v̇(θ	NOUN
ma-60	122	3	,	,	PUNCT
ma-60	122	4	xti−1	xti−1	PROPN
ma-60	122	5	)	)	PUNCT
ma-60	123	1	+	+	CCONJ
ma-60	123	2	v̇(θ	v̇(θ	ADJ
ma-60	123	3	,	,	PUNCT
ma-60	123	4	xti	xti	PROPN
ma-60	123	5	)	)	PUNCT
ma-60	124	1	]	]	PUNCT
ma-60	124	2	}	}	PUNCT
ma-60	124	3	=	=	SYM
ma-60	124	4	1	1	NUM
ma-60	124	5	2	2	NUM
ma-60	124	6	t	t	NOUN
ma-60	124	7	{	{	PUNCT
ma-60	124	8	∞∑	∞∑	PROPN
ma-60	124	9	m=1	m=1	PROPN
ma-60	124	10	n∑	n∑	NOUN
ma-60	124	11	i=1	i=1	PROPN
ma-60	125	1	[	[	PUNCT
ma-60	125	2	am(xti−1	am(xti−1	PROPN
ma-60	125	3	)	)	PUNCT
ma-60	126	1	+	+	CCONJ
ma-60	126	2	am(xti	am(xti	ADV
ma-60	126	3	)	)	PUNCT
ma-60	126	4	]	]	PUNCT
ma-60	127	1	eπjmθ∆wi	eπjmθ∆wi	PROPN
ma-60	127	2	−	−	NOUN
ma-60	127	3	h	h	NOUN
ma-60	127	4	2	2	NUM
ma-60	127	5	∞∑	∞∑	PROPN
ma-60	127	6	m=1	m=1	PROPN
ma-60	127	7	n∑	n∑	NOUN
ma-60	127	8	i=1	i=1	PROPN
ma-60	128	1	[	[	PUNCT
ma-60	128	2	ȧm(xti−1	ȧm(xti−1	PROPN
ma-60	128	3	)	)	PUNCT
ma-60	129	1	+	+	CCONJ
ma-60	129	2	ȧm(xti	ȧm(xti	PROPN
ma-60	129	3	)	)	PUNCT
ma-60	129	4	]	]	PUNCT
ma-60	130	1	eπjmθ	eπjmθ	NOUN
ma-60	130	2	}	}	PUNCT
ma-60	130	3	where	where	SCONJ
ma-60	130	4	|am(x)|	|am(x)|	VERB
ma-60	130	5	≤	≤	ADJ
ma-60	130	6	cm|x	cm|x	NOUN
ma-60	130	7	|	|	NOUN
ma-60	130	8	,	,	PUNCT
ma-60	130	9	∞∑	∞∑	PROPN
ma-60	130	10	m=1	m=1	PROPN
ma-60	130	11	m1+γc4	m1+γc4	NUM
ma-60	130	12	m	m	VERB
ma-60	130	13	<	<	X
ma-60	130	14	∞.	∞.	PROPN
ma-60	130	15	let	let	VERB
ma-60	130	16	am	am	VERB
ma-60	130	17	,	,	PUNCT
ma-60	130	18	n(s	n(s	PROPN
ma-60	130	19	)	)	PUNCT
ma-60	130	20	:	:	PUNCT
ma-60	131	1	=	=	SYM
ma-60	131	2	1	1	NUM
ma-60	131	3	2	2	NUM
ma-60	131	4	n∑	n∑	NOUN
ma-60	131	5	i=1	i=1	X
ma-60	132	1	[	[	PUNCT
ma-60	132	2	am(xti−1	am(xti−1	PROPN
ma-60	132	3	)	)	PUNCT
ma-60	133	1	+	+	CCONJ
ma-60	133	2	am(xti	am(xti	ADV
ma-60	133	3	)	)	PUNCT
ma-60	133	4	]	]	PUNCT
ma-60	133	5	i(ti−1−ti	i(ti−1−ti	X
ma-60	133	6	]	]	PUNCT
ma-60	133	7	(	(	PUNCT
ma-60	133	8	s	s	NOUN
ma-60	133	9	)	)	PUNCT
ma-60	133	10	where	where	SCONJ
ma-60	133	11	i(ti−1−ti	i(ti−1−ti	NOUN
ma-60	133	12	]	]	PUNCT
ma-60	133	13	,	,	PUNCT
ma-60	133	14	i	i	PRON
ma-60	133	15	=	=	NOUN
ma-60	133	16	1	1	NUM
ma-60	133	17	,	,	PUNCT
ma-60	133	18	2	2	NUM
ma-60	133	19	,	,	PUNCT
ma-60	133	20	...	...	PUNCT
ma-60	133	21	,	,	PUNCT
ma-60	133	22	n	n	PRON
ma-60	133	23	are	be	AUX
ma-60	133	24	indicator	indicator	NOUN
ma-60	133	25	functions	function	NOUN
ma-60	133	26	.	.	PUNCT
ma-60	134	1	then	then	ADV
ma-60	134	2	1	1	NUM
ma-60	134	3	2	2	NUM
ma-60	134	4	n∑	n∑	NOUN
ma-60	134	5	i=1	i=1	X
ma-60	135	1	[	[	PUNCT
ma-60	135	2	am(xti−1	am(xti−1	PROPN
ma-60	135	3	)	)	PUNCT
ma-60	136	1	+	+	CCONJ
ma-60	136	2	am(xti	am(xti	ADV
ma-60	136	3	)	)	PUNCT
ma-60	136	4	]	]	PUNCT
ma-60	137	1	∆wi	∆wi	PROPN
ma-60	137	2	=	=	SYM
ma-60	137	3	∫	∫	PROPN
ma-60	137	4	t	t	PROPN
ma-60	137	5	0	0	NUM
ma-60	137	6	am	am	PROPN
ma-60	137	7	,	,	PUNCT
ma-60	137	8	n(s	n(s	PROPN
ma-60	137	9	)	)	PUNCT
ma-60	137	10	o	o	PROPN
ma-60	137	11	dws	dws	PROPN
ma-60	137	12	and	and	CCONJ
ma-60	137	13	h	h	PROPN
ma-60	137	14	2	2	NUM
ma-60	137	15	n∑	n∑	NOUN
ma-60	137	16	i=1	i=1	PROPN
ma-60	138	1	[	[	PUNCT
ma-60	138	2	ȧm(xti−1	ȧm(xti−1	PROPN
ma-60	138	3	)	)	PUNCT
ma-60	139	1	+	+	CCONJ
ma-60	139	2	ȧm(xti	ȧm(xti	PROPN
ma-60	139	3	)	)	PUNCT
ma-60	139	4	]	]	PUNCT
ma-60	140	1	=	=	PUNCT
ma-60	141	1	∫	∫	PROPN
ma-60	141	2	t	t	PROPN
ma-60	141	3	o	o	X
ma-60	141	4	ȧm	ȧm	PROPN
ma-60	141	5	,	,	PUNCT
ma-60	141	6	nds	nds	PROPN
ma-60	141	7	.	.	PROPN
ma-60	142	1	but	but	CCONJ
ma-60	142	2	∫	∫	PROPN
ma-60	142	3	t	t	PROPN
ma-60	142	4	0	0	NUM
ma-60	142	5	am	am	PROPN
ma-60	142	6	,	,	PUNCT
ma-60	142	7	n(s	n(s	PROPN
ma-60	142	8	)	)	PUNCT
ma-60	142	9	o	o	NOUN
ma-60	142	10	dws	dws	PROPN
ma-60	143	1	−	−	NOUN
ma-60	143	2	1	1	NUM
ma-60	143	3	2	2	NUM
ma-60	143	4	∫	∫	NOUN
ma-60	143	5	t	t	NOUN
ma-60	143	6	o	o	NOUN
ma-60	143	7	ȧm	ȧm	PROPN
ma-60	143	8	,	,	PUNCT
ma-60	143	9	nds	nd	NOUN
ma-60	143	10	=	=	SYM
ma-60	143	11	∫	∫	PROPN
ma-60	143	12	t	t	PROPN
ma-60	143	13	0	0	NUM
ma-60	143	14	am	be	AUX
ma-60	143	15	,	,	PUNCT
ma-60	143	16	n(s)dws	n(s)dws	PROPN
ma-60	143	17	.	.	PUNCT
ma-60	144	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	144	2	eur	eur	NOUN
ma-60	144	3	.	.	PUNCT
ma-60	145	1	j.	j.	PROPN
ma-60	145	2	math	math	PROPN
ma-60	145	3	.	.	PUNCT
ma-60	146	1	anal	anal	PROPN
ma-60	146	2	.	.	PUNCT
ma-60	147	1	10.28924	10.28924	NUM
ma-60	147	2	/	/	SYM
ma-60	147	3	ada	ada	PROPN
ma-60	147	4	/	/	SYM
ma-60	147	5	ma.2.7	ma.2.7	PROPN
ma-60	147	6	6by	6by	ADJ
ma-60	147	7	exponential	exponential	ADJ
ma-60	147	8	inequality	inequality	NOUN
ma-60	147	9	for	for	ADP
ma-60	147	10	martingales	martingale	NOUN
ma-60	147	11	,	,	PUNCT
ma-60	147	12	we	we	PRON
ma-60	147	13	have	have	AUX
ma-60	147	14	p	p	X
ma-60	147	15	{	{	PUNCT
ma-60	147	16	∫	∫	PROPN
ma-60	147	17	t	t	PROPN
ma-60	147	18	0	0	NUM
ma-60	147	19	am	be	AUX
ma-60	147	20	,	,	PUNCT
ma-60	147	21	n(s)dws	n(s)dws	PROPN
ma-60	147	22	−	−	PROPN
ma-60	147	23	α	α	NOUN
ma-60	147	24	2	2	NUM
ma-60	147	25	∫	∫	NOUN
ma-60	147	26	t	t	PROPN
ma-60	147	27	o	o	PROPN
ma-60	147	28	a2	a2	PROPN
ma-60	147	29	m	m	PROPN
ma-60	147	30	,	,	PUNCT
ma-60	147	31	nds	nds	X
ma-60	147	32	>	>	X
ma-60	147	33	β	β	X
ma-60	147	34	}	}	PUNCT
ma-60	147	35	≤	≤	NOUN
ma-60	147	36	e−αβ	e−αβ	NOUN
ma-60	147	37	for	for	ADP
ma-60	147	38	any	any	DET
ma-60	147	39	α	α	NOUN
ma-60	147	40	,	,	PUNCT
ma-60	147	41	β	β	X
ma-60	147	42	>	>	X
ma-60	147	43	0	0	X
ma-60	147	44	.	.	PUNCT
ma-60	148	1	thus	thus	ADV
ma-60	148	2	p	p	X
ma-60	148	3	{	{	PUNCT
ma-60	148	4	1	1	NUM
ma-60	148	5	t	t	NOUN
ma-60	148	6	∫	∫	PROPN
ma-60	148	7	t	t	PROPN
ma-60	148	8	0	0	NUM
ma-60	148	9	am	be	AUX
ma-60	148	10	,	,	PUNCT
ma-60	148	11	n(s)dws	n(s)dws	PROPN
ma-60	148	12	>	>	X
ma-60	148	13	β	β	PROPN
ma-60	148	14	t	t	PROPN
ma-60	149	1	+	+	CCONJ
ma-60	149	2	α	α	PROPN
ma-60	149	3	2	2	NUM
ma-60	149	4	t	t	NOUN
ma-60	149	5	∫	∫	NOUN
ma-60	149	6	t	t	PROPN
ma-60	149	7	o	o	PROPN
ma-60	149	8	a2	a2	PROPN
ma-60	149	9	m	m	PROPN
ma-60	149	10	,	,	PUNCT
ma-60	149	11	nds	nds	NOUN
ma-60	149	12	}	}	PUNCT
ma-60	149	13	≤	≤	NOUN
ma-60	149	14	e−αβ	e−αβ	NOUN
ma-60	149	15	and	and	CCONJ
ma-60	149	16	p	p	NOUN
ma-60	149	17	{	{	PUNCT
ma-60	149	18	∣∣∣∣	∣∣∣∣	NOUN
ma-60	149	19	1	1	NUM
ma-60	149	20	t	t	NOUN
ma-60	149	21	∫	∫	PROPN
ma-60	149	22	t	t	PROPN
ma-60	149	23	0	0	NUM
ma-60	149	24	am	be	AUX
ma-60	149	25	,	,	PUNCT
ma-60	149	26	n(s)dws	n(s)dws	PROPN
ma-60	149	27	∣∣∣∣	∣∣∣∣	PROPN
ma-60	149	28	>	>	X
ma-60	149	29	β	β	PROPN
ma-60	149	30	t	t	PROPN
ma-60	149	31	+	+	CCONJ
ma-60	149	32	αh	αh	PROPN
ma-60	149	33	8	8	NUM
ma-60	149	34	t	t	NOUN
ma-60	149	35	n∑	n∑	NOUN
ma-60	149	36	i=1	i=1	PROPN
ma-60	150	1	[	[	PUNCT
ma-60	150	2	am(xti−1	am(xti−1	PROPN
ma-60	150	3	)	)	PUNCT
ma-60	151	1	+	+	CCONJ
ma-60	151	2	am(xti	am(xti	ADV
ma-60	152	1	)	)	PUNCT
ma-60	152	2	]	]	PUNCT
ma-60	152	3	2	2	X
ma-60	152	4	}	}	PUNCT
ma-60	152	5	≤	≤	NOUN
ma-60	152	6	2e−αβ	2e−αβ	NOUN
ma-60	152	7	.	.	PUNCT
ma-60	153	1	since	since	SCONJ
ma-60	153	2	h	h	NOUN
ma-60	153	3	2	2	NUM
ma-60	153	4	t	t	NOUN
ma-60	153	5	n∑	n∑	NOUN
ma-60	153	6	i=1	i=1	PROPN
ma-60	153	7	[	[	PUNCT
ma-60	153	8	am(xti−1	am(xti−1	PROPN
ma-60	153	9	)	)	PUNCT
ma-60	153	10	+	+	CCONJ
ma-60	153	11	am(xti	am(xti	ADV
ma-60	153	12	)	)	PUNCT
ma-60	153	13	]	]	PUNCT
ma-60	153	14	2	2	X
ma-60	153	15	≤	≤	NUM
ma-60	153	16	c2	c2	PROPN
ma-60	153	17	m	m	PROPN
ma-60	153	18	h	h	NOUN
ma-60	154	1	t	t	PROPN
ma-60	154	2	n∑	n∑	INTJ
ma-60	154	3	i=1	i=1	X
ma-60	155	1	[	[	PUNCT
ma-60	155	2	(	(	PUNCT
ma-60	155	3	xti−1	xti−1	PROPN
ma-60	155	4	)	)	PUNCT
ma-60	155	5	2	2	NUM
ma-60	156	1	+	+	CCONJ
ma-60	156	2	(	(	PUNCT
ma-60	156	3	xti	xti	PROPN
ma-60	156	4	)	)	PUNCT
ma-60	156	5	2	2	NUM
ma-60	156	6	]	]	PUNCT
ma-60	156	7	and	and	CCONJ
ma-60	156	8	by	by	ADP
ma-60	156	9	(	(	PUNCT
ma-60	156	10	a3	a3	NOUN
ma-60	156	11	)	)	PUNCT
ma-60	156	12	h	h	NOUN
ma-60	156	13	2	2	NUM
ma-60	156	14	t	t	NOUN
ma-60	156	15	n∑	n∑	NOUN
ma-60	156	16	i=1	i=1	X
ma-60	157	1	[	[	PUNCT
ma-60	157	2	(	(	PUNCT
ma-60	157	3	xti−1	xti−1	PROPN
ma-60	157	4	)	)	PUNCT
ma-60	157	5	2	2	NUM
ma-60	158	1	+	+	CCONJ
ma-60	158	2	(	(	PUNCT
ma-60	158	3	xti	xti	PROPN
ma-60	158	4	)	)	PUNCT
ma-60	158	5	2	2	NUM
ma-60	158	6	]	]	PUNCT
ma-60	158	7	→	→	SYM
ma-60	158	8	e(x2	e(x2	NOUN
ma-60	158	9	0	0	NUM
ma-60	158	10	)	)	PUNCT
ma-60	158	11	>	>	X
ma-60	158	12	0	0	PUNCT
ma-60	159	1	a.s	a.s	PROPN
ma-60	159	2	.	.	PROPN
ma-60	159	3	,	,	PUNCT
ma-60	159	4	there	there	PRON
ma-60	159	5	exists	exist	VERB
ma-60	159	6	a	a	DET
ma-60	159	7	random	random	ADJ
ma-60	159	8	variable	variable	NOUN
ma-60	159	9	v	v	ADP
ma-60	159	10	such	such	ADJ
ma-60	159	11	that	that	SCONJ
ma-60	159	12	h	h	NOUN
ma-60	159	13	2	2	NUM
ma-60	159	14	t	t	NOUN
ma-60	159	15	n∑	n∑	NOUN
ma-60	159	16	i=1	i=1	X
ma-60	160	1	[	[	PUNCT
ma-60	160	2	(	(	PUNCT
ma-60	160	3	xti−1	xti−1	PROPN
ma-60	160	4	)	)	PUNCT
ma-60	160	5	2	2	NUM
ma-60	161	1	+	+	CCONJ
ma-60	161	2	(	(	PUNCT
ma-60	161	3	xti	xti	PROPN
ma-60	161	4	)	)	PUNCT
ma-60	161	5	2	2	NUM
ma-60	162	1	]	]	PUNCT
ma-60	162	2	<	<	X
ma-60	162	3	v	v	X
ma-60	162	4	a.s	a.s	PROPN
ma-60	162	5	.	.	PROPN
ma-60	162	6	for	for	ADP
ma-60	162	7	all	all	DET
ma-60	162	8	t	t	PROPN
ma-60	162	9	>	>	X
ma-60	162	10	0	0	PROPN
ma-60	162	11	,	,	PUNCT
ma-60	162	12	n	n	NOUN
ma-60	162	13	=	=	SYM
ma-60	162	14	1	1	NUM
ma-60	162	15	,	,	PUNCT
ma-60	162	16	2	2	NUM
ma-60	162	17	,	,	PUNCT
ma-60	162	18	.	.	PUNCT
ma-60	162	19	.	.	PUNCT
ma-60	162	20	.	.	PUNCT
ma-60	162	21	.	.	PUNCT
ma-60	163	1	where	where	SCONJ
ma-60	163	2	p	p	NOUN
ma-60	163	3	(	(	PUNCT
ma-60	163	4	v	v	ADP
ma-60	163	5	<	<	NOUN
ma-60	163	6	∞	∞	NOUN
ma-60	163	7	)	)	PUNCT
ma-60	163	8	=	=	PUNCT
ma-60	164	1	1.denote	1.denote	NUM
ma-60	164	2	zm	zm	PROPN
ma-60	164	3	,	,	PUNCT
ma-60	164	4	n	n	PROPN
ma-60	164	5	:	:	PUNCT
ma-60	164	6	=	=	SYM
ma-60	164	7	1	1	NUM
ma-60	164	8	tn	tn	PROPN
ma-60	164	9	∫	∫	PROPN
ma-60	164	10	tn	tn	PROPN
ma-60	164	11	0	0	NUM
ma-60	164	12	am	be	AUX
ma-60	164	13	,	,	PUNCT
ma-60	164	14	n(s)dws	n(s)dws	PROPN
ma-60	164	15	.	.	PUNCT
ma-60	165	1	recall	recall	VERB
ma-60	165	2	that	that	DET
ma-60	165	3	t	t	PROPN
ma-60	165	4	=	=	SYM
ma-60	165	5	tn	tn	PROPN
ma-60	165	6	.	.	PUNCT
ma-60	166	1	choose	choose	VERB
ma-60	166	2	α	α	NOUN
ma-60	166	3	:	:	PUNCT
ma-60	167	1	=	=	PROPN
ma-60	167	2	ma	ma	PROPN
ma-60	167	3	tδn	tδn	PROPN
ma-60	167	4	,	,	PUNCT
ma-60	167	5	β	β	X
ma-60	167	6	:	:	PUNCT
ma-60	167	7	=	=	SYM
ma-60	167	8	tγn	tγn	PROPN
ma-60	167	9	mb	mb	ADP
ma-60	167	10	,	,	PUNCT
ma-60	167	11	where	where	SCONJ
ma-60	167	12	δ	δ	PROPN
ma-60	167	13	<	<	X
ma-60	167	14	γ	γ	X
ma-60	167	15	<	<	X
ma-60	167	16	1	1	NUM
ma-60	167	17	and	and	CCONJ
ma-60	167	18	1	1	NUM
ma-60	167	19	2	2	NUM
ma-60	167	20	<	<	X
ma-60	167	21	b	b	X
ma-60	167	22	<	<	X
ma-60	167	23	1+γ	1+γ	NUM
ma-60	167	24	2	2	NUM
ma-60	167	25	.then	.then	ADP
ma-60	167	26	p	p	X
ma-60	167	27	(	(	PUNCT
ma-60	167	28	|zm	|zm	NUM
ma-60	167	29	,	,	PUNCT
ma-60	167	30	n|	n|	NOUN
ma-60	167	31	>	>	SYM
ma-60	167	32	1	1	NUM
ma-60	167	33	t1−γ	t1−γ	PROPN
ma-60	167	34	n	n	PRON
ma-60	167	35	mb	mb	PROPN
ma-60	167	36	+	+	CCONJ
ma-60	167	37	mac2	mac2	PROPN
ma-60	167	38	mv	mv	PROPN
ma-60	167	39	2tδn	2tδn	PROPN
ma-60	167	40	)	)	PUNCT
ma-60	167	41	<	<	X
ma-60	167	42	2e−m	2e−m	NOUN
ma-60	167	43	a−btγ−δn	a−btγ−δn	ADJ
ma-60	167	44	.	.	PUNCT
ma-60	168	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	168	2	eur	eur	NOUN
ma-60	168	3	.	.	PUNCT
ma-60	169	1	j.	j.	PROPN
ma-60	169	2	math	math	PROPN
ma-60	169	3	.	.	PUNCT
ma-60	170	1	anal	anal	PROPN
ma-60	170	2	.	.	PUNCT
ma-60	171	1	10.28924	10.28924	NUM
ma-60	171	2	/	/	SYM
ma-60	171	3	ada	ada	PROPN
ma-60	171	4	/	/	SYM
ma-60	171	5	ma.2.7	ma.2.7	PROPN
ma-60	171	6	7this	7this	PROPN
ma-60	171	7	p	p	NOUN
ma-60	171	8	(	(	PUNCT
ma-60	171	9	∞∑	∞∑	PROPN
ma-60	171	10	m=1	m=1	PROPN
ma-60	171	11	z2	z2	PROPN
ma-60	171	12	m	m	PROPN
ma-60	171	13	,	,	PUNCT
ma-60	171	14	n	n	CCONJ
ma-60	171	15	>	>	X
ma-60	171	16	∞∑	∞∑	NUM
ma-60	171	17	m=1	m=1	X
ma-60	171	18	(	(	PUNCT
ma-60	171	19	1	1	NUM
ma-60	171	20	t1−γ	t1−γ	PROPN
ma-60	171	21	n	n	PRON
ma-60	171	22	mb	mb	PROPN
ma-60	171	23	+	+	CCONJ
ma-60	171	24	mac2	mac2	PROPN
ma-60	171	25	mv	mv	PROPN
ma-60	171	26	2tδn	2tδn	NUM
ma-60	171	27	)	)	PUNCT
ma-60	171	28	2	2	NUM
ma-60	171	29	)	)	PUNCT
ma-60	171	30	≤	≤	NOUN
ma-60	172	1	∞∑	∞∑	PRON
ma-60	172	2	m=1	m=1	X
ma-60	172	3	p	p	X
ma-60	172	4	(	(	PUNCT
ma-60	172	5	z2	z2	PROPN
ma-60	172	6	m	m	PROPN
ma-60	172	7	,	,	PUNCT
ma-60	172	8	n	n	PROPN
ma-60	172	9	>	>	X
ma-60	172	10	(	(	PUNCT
ma-60	172	11	1	1	NUM
ma-60	172	12	t1−γ	t1−γ	PROPN
ma-60	172	13	n	n	PRON
ma-60	172	14	mb	mb	PROPN
ma-60	172	15	+	+	CCONJ
ma-60	172	16	mac2	mac2	PROPN
ma-60	172	17	mv	mv	PROPN
ma-60	172	18	2tδn	2tδn	NUM
ma-60	172	19	)	)	PUNCT
ma-60	172	20	2	2	NUM
ma-60	172	21	)	)	PUNCT
ma-60	172	22	=	=	PUNCT
ma-60	173	1	∞∑	∞∑	PRON
ma-60	173	2	m=1	m=1	X
ma-60	173	3	p	p	X
ma-60	173	4	(	(	PUNCT
ma-60	173	5	|zm	|zm	NUM
ma-60	173	6	,	,	PUNCT
ma-60	173	7	n|	n|	NOUN
ma-60	173	8	>	>	SYM
ma-60	173	9	1	1	NUM
ma-60	173	10	t1−γ	t1−γ	PROPN
ma-60	173	11	n	n	PRON
ma-60	173	12	mb	mb	PROPN
ma-60	173	13	+	+	CCONJ
ma-60	173	14	mac2	mac2	PROPN
ma-60	173	15	mv	mv	PROPN
ma-60	173	16	2tδn	2tδn	NUM
ma-60	173	17	)	)	PUNCT
ma-60	173	18	≤	≤	NOUN
ma-60	173	19	2	2	NUM
ma-60	173	20	∞∑	∞∑	PROPN
ma-60	173	21	m=1	m=1	NUM
ma-60	173	22	e−m	e−m	NOUN
ma-60	173	23	a−btγ−δn	a−btγ−δn	ADJ
ma-60	173	24	≤	≤	NUM
ma-60	173	25	2e−t	2e−t	NOUN
ma-60	173	26	γ−δ	γ−δ	NOUN
ma-60	173	27	n	n	CCONJ
ma-60	173	28	∞∑	∞∑	PROPN
ma-60	173	29	m=1	m=1	PUNCT
ma-60	173	30	e−m	e−m	NOUN
ma-60	173	31	a−b	a−b	NOUN
ma-60	173	32	.	.	PUNCT
ma-60	174	1	hence	hence	ADV
ma-60	174	2	∞∑	∞∑	NUM
ma-60	174	3	n=1	n=1	ADP
ma-60	174	4	p	p	X
ma-60	174	5	(	(	PUNCT
ma-60	174	6	∞∑	∞∑	PROPN
ma-60	174	7	m=1	m=1	PROPN
ma-60	174	8	z2	z2	PROPN
ma-60	174	9	m	m	PROPN
ma-60	174	10	,	,	PUNCT
ma-60	174	11	n	n	CCONJ
ma-60	174	12	>	>	X
ma-60	174	13	∞∑	∞∑	NUM
ma-60	174	14	m=1	m=1	X
ma-60	174	15	(	(	PUNCT
ma-60	174	16	1	1	NUM
ma-60	174	17	t1−γ	t1−γ	PROPN
ma-60	174	18	n	n	PRON
ma-60	174	19	mb	mb	PROPN
ma-60	174	20	+	+	CCONJ
ma-60	174	21	mac2	mac2	PROPN
ma-60	174	22	mv	mv	PROPN
ma-60	174	23	2tδn	2tδn	NUM
ma-60	174	24	)	)	PUNCT
ma-60	174	25	2	2	NUM
ma-60	174	26	)	)	PUNCT
ma-60	174	27	≤	≤	NOUN
ma-60	174	28	2	2	NUM
ma-60	174	29	∞∑	∞∑	NUM
ma-60	174	30	n=1	n=1	PROPN
ma-60	174	31	e−t	e−t	NOUN
ma-60	174	32	1−γ	1−γ	NUM
ma-60	174	33	n	n	PROPN
ma-60	174	34	∞∑	∞∑	NUM
ma-60	174	35	m=1	m=1	PUNCT
ma-60	174	36	e−m	e−m	NOUN
ma-60	174	37	a−b	a−b	NOUN
ma-60	174	38	<	<	X
ma-60	174	39	∞	∞	PROPN
ma-60	174	40	since	since	SCONJ
ma-60	174	41	γ	γ	PROPN
ma-60	174	42	−	−	PROPN
ma-60	174	43	δ	δ	PROPN
ma-60	174	44	>	>	X
ma-60	174	45	0	0	PUNCT
ma-60	175	1	and	and	CCONJ
ma-60	175	2	a	a	DET
ma-60	175	3	−	−	PROPN
ma-60	175	4	b	b	SYM
ma-60	175	5	>	>	X
ma-60	175	6	0	0	NUM
ma-60	175	7	.	.	PUNCT
ma-60	176	1	the	the	DET
ma-60	176	2	above	above	ADJ
ma-60	176	3	implies	imply	VERB
ma-60	176	4	∞∑	∞∑	NUM
ma-60	176	5	n=1	n=1	PROPN
ma-60	176	6	p	p	X
ma-60	176	7	(	(	PUNCT
ma-60	176	8	∞∑	∞∑	PROPN
ma-60	176	9	m=1	m=1	PROPN
ma-60	176	10	z2	z2	PROPN
ma-60	176	11	m	m	PROPN
ma-60	176	12	,	,	PUNCT
ma-60	176	13	n	n	PROPN
ma-60	176	14	>	>	X
ma-60	176	15	2	2	NUM
ma-60	176	16	t	t	NOUN
ma-60	176	17	2(1−γ	2(1−γ	NUM
ma-60	176	18	)	)	PUNCT
ma-60	176	19	n	n	PROPN
ma-60	176	20	∞∑	∞∑	PROPN
ma-60	176	21	m=1	m=1	X
ma-60	176	22	m−2b	m−2b	ADJ
ma-60	176	23	+	+	CCONJ
ma-60	176	24	v	v	NUM
ma-60	176	25	2	2	NUM
ma-60	176	26	t2δ	t2δ	NOUN
ma-60	176	27	n	n	CCONJ
ma-60	176	28	∑	∑	NOUN
ma-60	176	29	m	m	PROPN
ma-60	176	30	m2ac4	m2ac4	NOUN
ma-60	176	31	m	m	VERB
ma-60	176	32	)	)	PUNCT
ma-60	177	1	<	<	X
ma-60	177	2	∞.	∞.	PROPN
ma-60	177	3	by	by	ADP
ma-60	177	4	borel	borel	PROPN
ma-60	177	5	-	-	PUNCT
ma-60	177	6	cantelli	cantelli	PROPN
ma-60	177	7	lemma	lemma	PROPN
ma-60	177	8	,	,	PUNCT
ma-60	177	9	∞∑	∞∑	PROPN
ma-60	177	10	m=1	m=1	X
ma-60	177	11	(	(	PUNCT
ma-60	177	12	1	1	NUM
ma-60	177	13	2tn	2tn	ADJ
ma-60	177	14	n∑	n∑	NOUN
ma-60	177	15	i=1	i=1	X
ma-60	178	1	[	[	PUNCT
ma-60	178	2	am(xti−1	am(xti−1	PROPN
ma-60	178	3	)	)	PUNCT
ma-60	179	1	+	+	CCONJ
ma-60	179	2	am(xti	am(xti	ADV
ma-60	179	3	)	)	PUNCT
ma-60	179	4	]	]	PUNCT
ma-60	180	1	∆wi	∆wi	PROPN
ma-60	180	2	−	−	PROPN
ma-60	181	1	h	h	NOUN
ma-60	181	2	2tn	2tn	ADJ
ma-60	181	3	n∑	n∑	NOUN
ma-60	182	1	i=1	i=1	X
ma-60	183	1	[	[	PUNCT
ma-60	183	2	v̇(θ	v̇(θ	NOUN
ma-60	183	3	,	,	PUNCT
ma-60	183	4	xti−1	xti−1	PROPN
ma-60	183	5	)	)	PUNCT
ma-60	184	1	+	+	CCONJ
ma-60	185	1	v̇(θ	v̇(θ	ADJ
ma-60	185	2	,	,	PUNCT
ma-60	185	3	xti	xti	PROPN
ma-60	185	4	)	)	PUNCT
ma-60	186	1	]	]	PUNCT
ma-60	186	2	)	)	PUNCT
ma-60	186	3	2	2	NUM
ma-60	186	4	−→	−→	NOUN
ma-60	186	5	0	0	NUM
ma-60	187	1	a.s	a.s	PROPN
ma-60	187	2	.	.	PROPN
ma-60	187	3	as	as	ADP
ma-60	187	4	n	n	PROPN
ma-60	187	5	→∞.	→∞.	PROPN
ma-60	188	1	this	this	PRON
ma-60	188	2	completes	complete	VERB
ma-60	188	3	the	the	DET
ma-60	188	4	proof	proof	NOUN
ma-60	188	5	of	of	ADP
ma-60	188	6	the	the	DET
ma-60	188	7	lemma	lemma	PROPN
ma-60	188	8	.	.	PUNCT
ma-60	189	1	lemma	lemma	PROPN
ma-60	189	2	2.2	2.2	NUM
ma-60	189	3	under	under	ADP
ma-60	189	4	(	(	PUNCT
ma-60	189	5	a1	a1	NOUN
ma-60	189	6	)	)	PUNCT
ma-60	189	7	–	–	PUNCT
ma-60	189	8	(	(	PUNCT
ma-60	189	9	a5	a5	PROPN
ma-60	189	10	)	)	PUNCT
ma-60	189	11	,	,	PUNCT
ma-60	189	12	with	with	ADP
ma-60	189	13	probability	probability	NOUN
ma-60	189	14	one	one	NUM
ma-60	189	15	,	,	PUNCT
ma-60	189	16	sup	sup	NOUN
ma-60	189	17	θ∈θ	θ∈θ	NOUN
ma-60	189	18	∣∣∣∣∣	∣∣∣∣∣	ADP
ma-60	189	19	1	1	NUM
ma-60	190	1	t	t	NOUN
ma-60	190	2	n∑	n∑	NOUN
ma-60	191	1	i=1	i=1	PROPN
ma-60	191	2	∫	∫	X
ma-60	191	3	ti	ti	PROPN
ma-60	191	4	ti−1	ti−1	NOUN
ma-60	191	5	[	[	X
ma-60	191	6	f	f	X
ma-60	191	7	(	(	PUNCT
ma-60	191	8	θ0	θ0	PROPN
ma-60	191	9	,	,	PUNCT
ma-60	191	10	xs)−	xs)−	PUNCT
ma-60	192	1	f	f	PROPN
ma-60	192	2	(	(	PUNCT
ma-60	192	3	θ0	θ0	PROPN
ma-60	192	4	,	,	PUNCT
ma-60	192	5	xti−1	xti−1	PROPN
ma-60	192	6	)	)	PUNCT
ma-60	192	7	]	]	PUNCT
ma-60	193	1	v(θ	v(θ	PROPN
ma-60	193	2	,	,	PUNCT
ma-60	193	3	xti−1	xti−1	PROPN
ma-60	193	4	)	)	PUNCT
ma-60	193	5	ds	ds	PROPN
ma-60	193	6	∣∣∣∣∣→	∣∣∣∣∣→	PROPN
ma-60	193	7	0	0	NUM
ma-60	193	8	.	.	PUNCT
ma-60	194	1	proof	proof	NOUN
ma-60	194	2	.	.	PUNCT
ma-60	195	1	for	for	ADP
ma-60	195	2	m	m	PROPN
ma-60	195	3	>	>	X
ma-60	195	4	0	0	NUM
ma-60	195	5	,	,	PUNCT
ma-60	195	6	we	we	PRON
ma-60	195	7	have	have	VERB
ma-60	195	8	e	e	NOUN
ma-60	195	9	sup	sup	PROPN
ma-60	195	10	θ∈θ	θ∈θ	NOUN
ma-60	195	11	∣∣∣∣∣	∣∣∣∣∣	ADP
ma-60	196	1	1	1	NUM
ma-60	196	2	t	t	NOUN
ma-60	196	3	n∑	n∑	NOUN
ma-60	197	1	i=1	i=1	PROPN
ma-60	197	2	∫	∫	X
ma-60	197	3	ti	ti	PROPN
ma-60	197	4	ti−1	ti−1	NOUN
ma-60	197	5	[	[	X
ma-60	197	6	f	f	X
ma-60	197	7	(	(	PUNCT
ma-60	197	8	θ0	θ0	PROPN
ma-60	197	9	,	,	PUNCT
ma-60	197	10	xs)−	xs)−	PUNCT
ma-60	198	1	f	f	PROPN
ma-60	198	2	(	(	PUNCT
ma-60	198	3	θ0	θ0	PROPN
ma-60	198	4	,	,	PUNCT
ma-60	198	5	xti−1	xti−1	PROPN
ma-60	198	6	)	)	PUNCT
ma-60	198	7	]	]	PUNCT
ma-60	199	1	v(θ	v(θ	PROPN
ma-60	199	2	,	,	PUNCT
ma-60	199	3	xti−1	xti−1	PROPN
ma-60	199	4	)	)	PUNCT
ma-60	199	5	ds	ds	PROPN
ma-60	199	6	∣∣∣∣∣	∣∣∣∣∣	ADJ
ma-60	199	7	2	2	NUM
ma-60	199	8	m	m	NOUN
ma-60	199	9			NOUN
ma-60	199	10	=	=	SYM
ma-60	199	11	e	e	X
ma-60	199	12	{	{	PUNCT
ma-60	199	13	sup	sup	NOUN
ma-60	199	14	θ∈θ	θ∈θ	NOUN
ma-60	199	15	∣∣∣∣	∣∣∣∣	NOUN
ma-60	199	16	1	1	NUM
ma-60	199	17	t	t	NOUN
ma-60	199	18	∫	∫	PROPN
ma-60	199	19	t	t	PROPN
ma-60	199	20	0	0	NUM
ma-60	199	21	gn(s)ds	gn(s)ds	ADJ
ma-60	199	22	∣∣∣∣2	∣∣∣∣2	NOUN
ma-60	199	23	m	m	PROPN
ma-60	199	24	}	}	PUNCT
ma-60	199	25	.	.	PUNCT
ma-60	200	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	200	2	eur	eur	NOUN
ma-60	200	3	.	.	PUNCT
ma-60	201	1	j.	j.	PROPN
ma-60	201	2	math	math	PROPN
ma-60	201	3	.	.	PUNCT
ma-60	202	1	anal	anal	PROPN
ma-60	202	2	.	.	PUNCT
ma-60	203	1	10.28924	10.28924	NUM
ma-60	203	2	/	/	SYM
ma-60	203	3	ada	ada	PROPN
ma-60	203	4	/	/	SYM
ma-60	203	5	ma.2.7	ma.2.7	PROPN
ma-60	203	6	8	8	NUM
ma-60	203	7	where	where	SCONJ
ma-60	203	8	gn(s	gn(s	PUNCT
ma-60	203	9	)	)	PUNCT
ma-60	203	10	=	=	SYM
ma-60	204	1	∑n	∑n	PROPN
ma-60	204	2	i=1	i=1	PROPN
ma-60	204	3	∫	∫	X
ma-60	204	4	ti	ti	PROPN
ma-60	204	5	ti−1	ti−1	NOUN
ma-60	204	6	[	[	X
ma-60	204	7	f	f	X
ma-60	204	8	(	(	PUNCT
ma-60	204	9	θ0	θ0	PROPN
ma-60	204	10	,	,	PUNCT
ma-60	204	11	xs)−	xs)−	PUNCT
ma-60	205	1	f	f	PROPN
ma-60	205	2	(	(	PUNCT
ma-60	205	3	θ0	θ0	PROPN
ma-60	205	4	,	,	PUNCT
ma-60	205	5	xti−1	xti−1	PROPN
ma-60	205	6	)	)	PUNCT
ma-60	205	7	]	]	PUNCT
ma-60	206	1	v(θ	v(θ	PROPN
ma-60	206	2	,	,	PUNCT
ma-60	206	3	xti−1	xti−1	PROPN
ma-60	206	4	)	)	PUNCT
ma-60	206	5	if	if	SCONJ
ma-60	206	6	ti−1	ti−1	NOUN
ma-60	206	7	≤	≤	NOUN
ma-60	206	8	s	s	PART
ma-60	206	9	≤	≤	NUM
ma-60	206	10	ti	ti	NOUN
ma-60	206	11	.hölder	.hölder	PRON
ma-60	206	12	’s	’s	PART
ma-60	206	13	inequality	inequality	NOUN
ma-60	206	14	implies	imply	VERB
ma-60	206	15	that	that	SCONJ
ma-60	206	16	e	e	NOUN
ma-60	206	17	{	{	PUNCT
ma-60	206	18	sup	sup	NOUN
ma-60	206	19	θ∈θ	θ∈θ	NOUN
ma-60	206	20	∣∣∣∣	∣∣∣∣	NOUN
ma-60	206	21	1	1	NUM
ma-60	206	22	t	t	NOUN
ma-60	206	23	∫	∫	PROPN
ma-60	206	24	t	t	PROPN
ma-60	206	25	0	0	NUM
ma-60	206	26	gn(s)ds	gn(s)ds	ADJ
ma-60	206	27	∣∣∣∣2	∣∣∣∣2	NOUN
ma-60	206	28	m	m	PROPN
ma-60	206	29	}	}	PUNCT
ma-60	206	30	≤	≤	NUM
ma-60	206	31	t−2me	t−2me	X
ma-60	206	32	{	{	PUNCT
ma-60	206	33	sup	sup	NOUN
ma-60	206	34	θ∈θ	θ∈θ	NOUN
ma-60	206	35	t	t	PROPN
ma-60	206	36	2m−1	2m−1	NUM
ma-60	206	37	∫	∫	PROPN
ma-60	206	38	t	t	PROPN
ma-60	206	39	0	0	NUM
ma-60	206	40	|gn(s)|2mds	|gn(s)|2mds	PROPN
ma-60	206	41	}	}	PUNCT
ma-60	206	42	≤	≤	PROPN
ma-60	206	43	t−2me	t−2me	X
ma-60	206	44	(	(	PUNCT
ma-60	206	45	sup	sup	NOUN
ma-60	206	46	θ∈θ	θ∈θ	NOUN
ma-60	206	47	t	t	PROPN
ma-60	206	48	2m−1	2m−1	NUM
ma-60	206	49	n∑	n∑	PROPN
ma-60	206	50	i=1	i=1	PROPN
ma-60	207	1	∫	∫	PROPN
ma-60	207	2	ti	ti	PROPN
ma-60	207	3	ti−1	ti−1	PROPN
ma-60	207	4	|f	|f	PROPN
ma-60	207	5	(	(	PUNCT
ma-60	207	6	θ0	θ0	PROPN
ma-60	207	7	,	,	PUNCT
ma-60	207	8	xs)−	xs)−	PUNCT
ma-60	208	1	f	f	PROPN
ma-60	208	2	(	(	PUNCT
ma-60	208	3	θ0	θ0	PROPN
ma-60	208	4	,	,	PUNCT
ma-60	208	5	xti−1	xti−1	PROPN
ma-60	208	6	)	)	PUNCT
ma-60	208	7	|2m|v(θ	|2m|v(θ	PROPN
ma-60	208	8	,	,	PUNCT
ma-60	208	9	xti−1	xti−1	PROPN
ma-60	208	10	)	)	PUNCT
ma-60	208	11	|2mds	|2mds	PROPN
ma-60	208	12	)	)	PUNCT
ma-60	208	13	≤	≤	NUM
ma-60	208	14	t−1um	t−1um	NOUN
ma-60	208	15	n∑	n∑	PROPN
ma-60	208	16	i=1	i=1	PROPN
ma-60	209	1	∫	∫	PROPN
ma-60	209	2	ti	ti	PROPN
ma-60	209	3	ti−1	ti−1	NOUN
ma-60	209	4	e(|f	e(|f	NOUN
ma-60	209	5	(	(	PUNCT
ma-60	209	6	θ0	θ0	PROPN
ma-60	209	7	,	,	PUNCT
ma-60	209	8	xs)−	xs)−	PUNCT
ma-60	210	1	f	f	PROPN
ma-60	210	2	(	(	PUNCT
ma-60	210	3	θ0	θ0	PROPN
ma-60	210	4	,	,	PUNCT
ma-60	210	5	xti−1	xti−1	PROPN
ma-60	210	6	)	)	PUNCT
ma-60	210	7	|2m|c(xti−1	|2m|c(xti−1	PROPN
ma-60	210	8	)	)	PUNCT
ma-60	210	9	|2mds	|2mds	ADP
ma-60	210	10	)	)	PUNCT
ma-60	210	11	by	by	ADP
ma-60	210	12	condition	condition	NOUN
ma-60	210	13	(	(	PUNCT
ma-60	210	14	a2	a2	PROPN
ma-60	210	15	)	)	PUNCT
ma-60	210	16	where	where	SCONJ
ma-60	210	17	um	um	INTJ
ma-60	210	18	:	:	PUNCT
ma-60	210	19	=	=	SYM
ma-60	210	20	supθ∈θ	supθ∈θ	PROPN
ma-60	210	21	|θ	|θ	NUM
ma-60	210	22	−	−	PROPN
ma-60	210	23	θ0|2	θ0|2	X
ma-60	210	24	m	m	NOUN
ma-60	210	25	<	<	NOUN
ma-60	210	26	∞.by	∞.by	PROPN
ma-60	210	27	cauchy	cauchy	PROPN
ma-60	210	28	-	-	PUNCT
ma-60	210	29	schwarz	schwarz	PROPN
ma-60	210	30	’s	’s	PART
ma-60	210	31	inequality	inequality	NOUN
ma-60	210	32	the	the	DET
ma-60	210	33	above	above	ADJ
ma-60	210	34	term	term	NOUN
ma-60	210	35	is	be	AUX
ma-60	210	36	≤	≤	NUM
ma-60	210	37	t−1um	t−1um	NOUN
ma-60	210	38	n∑	n∑	PROPN
ma-60	210	39	i=1	i=1	PROPN
ma-60	211	1	∫	∫	PROPN
ma-60	211	2	ti	ti	PROPN
ma-60	211	3	ti−1	ti−1	PROPN
ma-60	211	4	(	(	PUNCT
ma-60	211	5	e|f	e|f	NOUN
ma-60	211	6	(	(	PUNCT
ma-60	211	7	θ0	θ0	PROPN
ma-60	211	8	,	,	PUNCT
ma-60	211	9	xs)−	xs)−	PUNCT
ma-60	212	1	f	f	PROPN
ma-60	212	2	(	(	PUNCT
ma-60	212	3	θ0	θ0	PROPN
ma-60	212	4	,	,	PUNCT
ma-60	212	5	xti−1	xti−1	PROPN
ma-60	212	6	)	)	PUNCT
ma-60	212	7	|4m)1/2(e(c(xti−1	|4m)1/2(e(c(xti−1	PROPN
ma-60	212	8	)	)	PUNCT
ma-60	212	9	|4m)1/2ds	|4m)1/2ds	NOUN
ma-60	212	10	≤	≤	ADV
ma-60	212	11	t−1umk	t−1umk	PROPN
ma-60	213	1	2m(θ0)(e|c(x0)|4m)1/2	2m(θ0)(e|c(x0)|4m)1/2	NUM
ma-60	213	2	n∑	n∑	NOUN
ma-60	213	3	i=1	i=1	PRON
ma-60	214	1	∫	∫	X
ma-60	214	2	ti	ti	PROPN
ma-60	214	3	ti−1	ti−1	PROPN
ma-60	214	4	(	(	PUNCT
ma-60	214	5	e|xs	e|xs	PUNCT
ma-60	214	6	−xti−1	−xti−1	PROPN
ma-60	214	7	)	)	PUNCT
ma-60	214	8	|4m)1/2ds	|4m)1/2ds	NOUN
ma-60	214	9	by	by	ADP
ma-60	214	10	condition	condition	NOUN
ma-60	214	11	(	(	PUNCT
ma-60	214	12	a2	a2	PROPN
ma-60	214	13	)	)	PUNCT
ma-60	214	14	.	.	PUNCT
ma-60	215	1	since	since	SCONJ
ma-60	215	2	e|xt	e|xt	PRON
ma-60	215	3	−	−	PROPN
ma-60	215	4	xs	xs	PROPN
ma-60	215	5	|2	|2	NUM
ma-60	215	6	m	m	PROPN
ma-60	215	7	≤	≤	ADJ
ma-60	215	8	m(t	m(t	NOUN
ma-60	215	9	−	−	PROPN
ma-60	215	10	s)m	s)m	ADJ
ma-60	215	11	,	,	PUNCT
ma-60	215	12	from	from	ADP
ma-60	215	13	gikhman	gikhman	NOUN
ma-60	215	14	and	and	CCONJ
ma-60	215	15	skorohod	skorohod	ADJ
ma-60	215	16	(	(	PUNCT
ma-60	215	17	1975	1975	NUM
ma-60	215	18	,	,	PUNCT
ma-60	215	19	p.48),the	p.48),the	DET
ma-60	215	20	above	above	ADJ
ma-60	215	21	term	term	NOUN
ma-60	215	22	≤	≤	NUM
ma-60	215	23	t−1umk	t−1umk	PROPN
ma-60	215	24	2m(θ0)(e|c(x0)|4m)1/2m1/2	2m(θ0)(e|c(x0)|4m)1/2m1/2	PROPN
ma-60	215	25	n∑	n∑	NOUN
ma-60	215	26	i=1	i=1	PRON
ma-60	215	27	∫	∫	PROPN
ma-60	215	28	ti	ti	PROPN
ma-60	215	29	ti−1	ti−1	PROPN
ma-60	215	30	(	(	PUNCT
ma-60	215	31	s	s	VERB
ma-60	215	32	−	−	NOUN
ma-60	215	33	ti−1)mds	ti−1)mds	PROPN
ma-60	215	34	=	=	NUM
ma-60	215	35	umk	umk	NOUN
ma-60	216	1	2m(θ0)(e|c(x0)|4mm)1/2t−1	2m(θ0)(e|c(x0)|4mm)1/2t−1	NUM
ma-60	216	2	n∑	n∑	NOUN
ma-60	216	3	i=1	i=1	PROPN
ma-60	216	4	(	(	PUNCT
ma-60	216	5	∆ti	∆ti	PROPN
ma-60	216	6	)	)	PUNCT
ma-60	217	1	m+1	m+1	NUM
ma-60	217	2	m	m	VERB
ma-60	217	3	+	+	ADJ
ma-60	217	4	1	1	NUM
ma-60	217	5	≤	≤	NUM
ma-60	217	6	umk	umk	NOUN
ma-60	217	7	2m(θ0	2m(θ0	NUM
ma-60	217	8	)	)	PUNCT
ma-60	217	9	m	m	VERB
ma-60	218	1	+	+	ADJ
ma-60	218	2	1	1	NUM
ma-60	218	3	(	(	PUNCT
ma-60	218	4	e|c(x0)|4mm)1/2hmn−m/2	e|c(x0)|4mm)1/2hmn−m/2	NUM
ma-60	218	5	,	,	PUNCT
ma-60	218	6	m	m	VERB
ma-60	218	7	>	>	X
ma-60	218	8	4	4	X
ma-60	218	9	.	.	PUNCT
ma-60	218	10	chebyshev	chebyshev	PROPN
ma-60	218	11	’s	’s	PART
ma-60	218	12	inequality	inequality	NOUN
ma-60	218	13	and	and	CCONJ
ma-60	218	14	the	the	DET
ma-60	218	15	above	above	ADJ
ma-60	218	16	implies	imply	VERB
ma-60	218	17	that	that	SCONJ
ma-60	218	18	for	for	ADP
ma-60	218	19	any	any	DET
ma-60	218	20	ε	ε	PROPN
ma-60	218	21	>	>	X
ma-60	218	22	0	0	PROPN
ma-60	218	23	,	,	PUNCT
ma-60	218	24	∞∑	∞∑	NUM
ma-60	218	25	n=1	n=1	ADP
ma-60	218	26	p	p	X
ma-60	218	27	{	{	PUNCT
ma-60	218	28	sup	sup	NOUN
ma-60	218	29	θ∈θ	θ∈θ	NOUN
ma-60	218	30	∣∣∣∣∣	∣∣∣∣∣	ADP
ma-60	218	31	1	1	NUM
ma-60	219	1	t	t	NOUN
ma-60	219	2	n∑	n∑	NOUN
ma-60	220	1	i=1	i=1	PROPN
ma-60	220	2	∫	∫	X
ma-60	220	3	ti	ti	PROPN
ma-60	220	4	ti−1	ti−1	NOUN
ma-60	220	5	[	[	X
ma-60	220	6	f	f	X
ma-60	220	7	(	(	PUNCT
ma-60	220	8	θ0	θ0	PROPN
ma-60	220	9	,	,	PUNCT
ma-60	220	10	xs)−	xs)−	PUNCT
ma-60	221	1	f	f	PROPN
ma-60	221	2	(	(	PUNCT
ma-60	221	3	θ0	θ0	PROPN
ma-60	221	4	,	,	PUNCT
ma-60	221	5	xti−1	xti−1	PROPN
ma-60	221	6	)	)	PUNCT
ma-60	221	7	]	]	PUNCT
ma-60	222	1	v(θ	v(θ	PROPN
ma-60	222	2	,	,	PUNCT
ma-60	222	3	xti−1	xti−1	PROPN
ma-60	222	4	)	)	PUNCT
ma-60	222	5	ds	ds	PROPN
ma-60	222	6	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-60	222	7	>	>	X
ma-60	222	8	ε	ε	PROPN
ma-60	222	9	}	}	PUNCT
ma-60	222	10	<	<	X
ma-60	222	11	∞.	∞.	PROPN
ma-60	222	12	hence	hence	ADV
ma-60	222	13	borel	borel	PROPN
ma-60	222	14	-	-	PUNCT
ma-60	222	15	cantelli	cantelli	PROPN
ma-60	222	16	lemma	lemma	PROPN
ma-60	222	17	yields	yield	VERB
ma-60	222	18	the	the	DET
ma-60	222	19	result	result	NOUN
ma-60	222	20	.	.	PUNCT
ma-60	223	1	lemma	lemma	PROPN
ma-60	223	2	2.3	2.3	NUM
ma-60	223	3	under	under	ADP
ma-60	223	4	(	(	PUNCT
ma-60	223	5	a1)(a6	a1)(a6	NOUN
ma-60	223	6	)	)	PUNCT
ma-60	223	7	,	,	PUNCT
ma-60	223	8	with	with	ADP
ma-60	223	9	probability	probability	NOUN
ma-60	223	10	one	one	NUM
ma-60	223	11	,	,	PUNCT
ma-60	224	1	1	1	NUM
ma-60	224	2	t	t	NUM
ma-60	224	3	n∑	n∑	NOUN
ma-60	224	4	i=1	i=1	X
ma-60	225	1	[	[	X
ma-60	225	2	f	f	X
ma-60	225	3	(	(	PUNCT
ma-60	225	4	θ	θ	PROPN
ma-60	225	5	,	,	PUNCT
ma-60	225	6	xti−1	xti−1	PROPN
ma-60	225	7	)	)	PUNCT
ma-60	225	8	−	−	PROPN
ma-60	226	1	f	f	PROPN
ma-60	226	2	(	(	PUNCT
ma-60	226	3	θ0	θ0	PROPN
ma-60	226	4	,	,	PUNCT
ma-60	226	5	xti−1	xti−1	PROPN
ma-60	226	6	)	)	PUNCT
ma-60	226	7	]	]	X
ma-60	226	8	2∆ti	2∆ti	NUM
ma-60	226	9	→	→	SYM
ma-60	226	10	e|v(θ	e|v(θ	PROPN
ma-60	226	11	,	,	PUNCT
ma-60	226	12	x0)|2	x0)|2	PROPN
ma-60	226	13	uniformly	uniformly	ADV
ma-60	226	14	in	in	ADP
ma-60	226	15	θ	θ	PROPN
ma-60	226	16	as	as	ADP
ma-60	226	17	t	t	PROPN
ma-60	226	18	→∞	→∞	PROPN
ma-60	226	19	,	,	PUNCT
ma-60	226	20	tn	tn	PROPN
ma-60	226	21	→	→	SYM
ma-60	226	22	0	0	NUM
ma-60	226	23	.	.	PUNCT
ma-60	227	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	227	2	eur	eur	NOUN
ma-60	227	3	.	.	PUNCT
ma-60	228	1	j.	j.	PROPN
ma-60	228	2	math	math	PROPN
ma-60	228	3	.	.	PUNCT
ma-60	229	1	anal	anal	PROPN
ma-60	229	2	.	.	PUNCT
ma-60	230	1	10.28924	10.28924	NUM
ma-60	230	2	/	/	SYM
ma-60	230	3	ada	ada	PROPN
ma-60	230	4	/	/	SYM
ma-60	230	5	ma.2.7	ma.2.7	PROPN
ma-60	230	6	9	9	NUM
ma-60	230	7	proof	proof	NOUN
ma-60	230	8	.	.	PUNCT
ma-60	231	1	by	by	ADP
ma-60	231	2	the	the	DET
ma-60	231	3	strong	strong	ADJ
ma-60	231	4	law	law	NOUN
ma-60	231	5	of	of	ADP
ma-60	231	6	large	large	ADJ
ma-60	231	7	numbers	number	NOUN
ma-60	231	8	(	(	PUNCT
ma-60	231	9	ergodicity	ergodicity	NOUN
ma-60	231	10	)	)	PUNCT
ma-60	231	11	,	,	PUNCT
ma-60	231	12	1	1	NUM
ma-60	231	13	t	t	NOUN
ma-60	231	14	∫	∫	PROPN
ma-60	231	15	t	t	PROPN
ma-60	231	16	0	0	PROPN
ma-60	231	17	|v(θ	|v(θ	PROPN
ma-60	231	18	,	,	PUNCT
ma-60	231	19	xs	xs	PROPN
ma-60	231	20	)	)	PUNCT
ma-60	231	21	2ds	2ds	NOUN
ma-60	231	22	→	→	SYM
ma-60	231	23	e|v(θ	e|v(θ	PROPN
ma-60	231	24	,	,	PUNCT
ma-60	231	25	x0)|2	x0)|2	PROPN
ma-60	231	26	.	.	PUNCT
ma-60	232	1	a.s	a.s	PROPN
ma-60	232	2	.	.	PROPN
ma-60	232	3	as	as	ADP
ma-60	232	4	t	t	PROPN
ma-60	232	5	→∞	→∞	PROPN
ma-60	232	6	for	for	ADP
ma-60	232	7	each	each	DET
ma-60	232	8	θ	θ	PROPN
ma-60	232	9	∈	∈	PROPN
ma-60	232	10	θ	θ	PROPN
ma-60	232	11	.	.	PUNCT
ma-60	233	1	the	the	DET
ma-60	233	2	condition	condition	NOUN
ma-60	233	3	(	(	PUNCT
ma-60	233	4	a2	a2	PROPN
ma-60	233	5	)	)	PUNCT
ma-60	233	6	implies	imply	VERB
ma-60	233	7	that	that	SCONJ
ma-60	233	8	1	1	NUM
ma-60	233	9	t	t	NOUN
ma-60	233	10	∫	∫	PROPN
ma-60	233	11	t	t	PROPN
ma-60	233	12	0	0	PROPN
ma-60	233	13	|v(θ	|v(θ	PROPN
ma-60	233	14	,	,	PUNCT
ma-60	233	15	xs	xs	PROPN
ma-60	233	16	)	)	PUNCT
ma-60	234	1	2ds	2ds	NOUN
ma-60	234	2	≤	≤	NUM
ma-60	234	3	1	1	NUM
ma-60	234	4	t	t	NOUN
ma-60	234	5	|θ	|θ	PRON
ma-60	234	6	−	−	PROPN
ma-60	234	7	θ0|2	θ0|2	CCONJ
ma-60	234	8	∫	∫	PROPN
ma-60	234	9	t	t	PROPN
ma-60	234	10	0	0	NUM
ma-60	234	11	|c(xs)|2ds	|c(xs)|2ds	NOUN
ma-60	234	12	≤	≤	NOUN
ma-60	234	13	sup	sup	NOUN
ma-60	234	14	θ∈θ	θ∈θ	NOUN
ma-60	234	15	|θ	|θ	PRON
ma-60	234	16	−	−	NOUN
ma-60	234	17	θ0|2	θ0|2	ADP
ma-60	234	18	1	1	NUM
ma-60	234	19	t	t	NOUN
ma-60	234	20	∫	∫	PROPN
ma-60	234	21	t	t	PROPN
ma-60	234	22	0	0	NUM
ma-60	234	23	|c(xs)|2ds	|c(xs)|2ds	NOUN
ma-60	234	24	≤	≤	NOUN
ma-60	234	25	b	b	NOUN
ma-60	234	26	almost	almost	ADV
ma-60	234	27	surely	surely	ADV
ma-60	234	28	for	for	ADP
ma-60	234	29	some	some	DET
ma-60	234	30	random	random	ADJ
ma-60	234	31	variable	variable	NOUN
ma-60	234	32	b	b	NOUN
ma-60	234	33	by	by	ADP
ma-60	234	34	(	(	PUNCT
ma-60	234	35	a1	a1	NOUN
ma-60	234	36	)	)	PUNCT
ma-60	234	37	,	,	PUNCT
ma-60	234	38	(	(	PUNCT
ma-60	234	39	a2	a2	PROPN
ma-60	234	40	)	)	PUNCT
ma-60	234	41	and	and	CCONJ
ma-60	234	42	(	(	PUNCT
ma-60	234	43	a3	a3	NOUN
ma-60	234	44	)	)	PUNCT
ma-60	234	45	.	.	PUNCT
ma-60	235	1	it	it	PRON
ma-60	235	2	also	also	ADV
ma-60	235	3	follows	follow	VERB
ma-60	235	4	easily	easily	ADV
ma-60	235	5	by	by	ADP
ma-60	235	6	(	(	PUNCT
ma-60	235	7	a1)-(a4)that	a1)-(a4)that	DET
ma-60	235	8	∣∣∣∣	∣∣∣∣	NOUN
ma-60	235	9	1	1	NUM
ma-60	235	10	t	t	NOUN
ma-60	235	11	∫	∫	PROPN
ma-60	235	12	t	t	PROPN
ma-60	235	13	0	0	NUM
ma-60	235	14	|v(θ1	|v(θ1	PROPN
ma-60	235	15	,	,	PUNCT
ma-60	235	16	xs	xs	PROPN
ma-60	235	17	)	)	PUNCT
ma-60	236	1	2ds	2ds	NOUN
ma-60	236	2	−	−	NOUN
ma-60	237	1	1	1	NUM
ma-60	237	2	t	t	NOUN
ma-60	237	3	∫	∫	PROPN
ma-60	237	4	t	t	PROPN
ma-60	237	5	0	0	NUM
ma-60	237	6	|v(θ2	|v(θ2	PROPN
ma-60	237	7	,	,	PUNCT
ma-60	237	8	xs	xs	PROPN
ma-60	237	9	)	)	PUNCT
ma-60	238	1	2ds	2ds	PROPN
ma-60	238	2	∣∣∣∣	∣∣∣∣	PROPN
ma-60	238	3	≤	≤	NUM
ma-60	238	4	j|θ1	j|θ1	VERB
ma-60	238	5	−	−	NOUN
ma-60	239	1	θ2|	θ2|	PUNCT
ma-60	240	1	almost	almost	ADV
ma-60	240	2	surely	surely	ADV
ma-60	240	3	for	for	ADP
ma-60	240	4	some	some	DET
ma-60	240	5	random	random	ADJ
ma-60	240	6	variable	variable	NOUN
ma-60	240	7	j	j	NOUN
ma-60	240	8	and	and	CCONJ
ma-60	240	9	θ1	θ1	NOUN
ma-60	240	10	,	,	PUNCT
ma-60	240	11	θ2	θ2	PROPN
ma-60	240	12	∈	∈	PROPN
ma-60	240	13	θ	θ	PROPN
ma-60	240	14	.	.	PUNCT
ma-60	241	1	thus	thus	ADV
ma-60	241	2	the	the	DET
ma-60	241	3	family	family	NOUN
ma-60	241	4	of	of	ADP
ma-60	241	5	functions	function	NOUN
ma-60	241	6	{	{	PUNCT
ma-60	241	7	1	1	NUM
ma-60	241	8	t	t	NOUN
ma-60	241	9	∫	∫	PROPN
ma-60	242	1	t	t	PROPN
ma-60	242	2	0	0	NUM
ma-60	242	3	|v	|v	PROPN
ma-60	242	4	(	(	PUNCT
ma-60	242	5	·	·	PUNCT
ma-60	242	6	,	,	PUNCT
ma-60	242	7	xs)|2ds	xs)|2ds	PROPN
ma-60	242	8	,	,	PUNCT
ma-60	242	9	t	t	PROPN
ma-60	242	10	≥	≥	NOUN
ma-60	242	11	0	0	NUM
ma-60	242	12	}	}	PUNCT
ma-60	242	13	is	be	AUX
ma-60	242	14	equicontinuous	equicontinuous	ADJ
ma-60	242	15	.	.	PUNCT
ma-60	243	1	hence	hence	ADV
ma-60	243	2	by	by	ADP
ma-60	243	3	arzela	arzela	PROPN
ma-60	243	4	-	-	PUNCT
ma-60	243	5	ascoli	ascoli	PROPN
ma-60	243	6	theorem	theorem	PROPN
ma-60	243	7	,	,	PUNCT
ma-60	243	8	the	the	DET
ma-60	243	9	convergence	convergence	NOUN
ma-60	243	10	is	be	AUX
ma-60	243	11	uniform	uniform	ADJ
ma-60	243	12	.	.	PUNCT
ma-60	244	1	denote	denote	VERB
ma-60	244	2	g2	g2	PROPN
ma-60	244	3	n(θ	n(θ	PROPN
ma-60	244	4	)	)	PUNCT
ma-60	244	5	:	:	PUNCT
ma-60	245	1	=	=	SYM
ma-60	245	2	h	h	NOUN
ma-60	246	1	2	2	NUM
ma-60	246	2	n∑	n∑	NOUN
ma-60	246	3	i=1	i=1	X
ma-60	247	1	[	[	PUNCT
ma-60	247	2	(	(	PUNCT
ma-60	247	3	xti−1	xti−1	PROPN
ma-60	247	4	)	)	PUNCT
ma-60	247	5	2	2	NUM
ma-60	248	1	+	+	CCONJ
ma-60	248	2	(	(	PUNCT
ma-60	248	3	xti	xti	PROPN
ma-60	248	4	)	)	PUNCT
ma-60	248	5	2	2	NUM
ma-60	248	6	]	]	PUNCT
ma-60	248	7	.	.	PUNCT
ma-60	249	1	now	now	ADV
ma-60	249	2	it	it	PRON
ma-60	249	3	is	be	AUX
ma-60	249	4	enough	enough	ADJ
ma-60	249	5	to	to	PART
ma-60	249	6	show	show	VERB
ma-60	250	1	that	that	SCONJ
ma-60	250	2	1	1	NUM
ma-60	250	3	t	t	NOUN
ma-60	250	4	∫	∫	PROPN
ma-60	250	5	t	t	PROPN
ma-60	250	6	0	0	PROPN
ma-60	250	7	|v(θ	|v(θ	PROPN
ma-60	250	8	,	,	PUNCT
ma-60	250	9	xs)|2ds	xs)|2ds	PROPN
ma-60	250	10	−	−	PROPN
ma-60	250	11	1	1	NUM
ma-60	250	12	t	t	PROPN
ma-60	250	13	g2	g2	PROPN
ma-60	250	14	n(θ)→	n(θ)→	NOUN
ma-60	250	15	0	0	PUNCT
ma-60	251	1	a.s	a.s	X
ma-60	251	2	.	.	NOUN
ma-60	251	3	uniformly	uniformly	ADV
ma-60	251	4	in	in	ADP
ma-60	251	5	θ	θ	PROPN
ma-60	251	6	.	.	PUNCT
ma-60	252	1	we	we	PRON
ma-60	252	2	have	have	VERB
ma-60	252	3	e	e	X
ma-60	252	4	{	{	PUNCT
ma-60	252	5	sup	sup	NOUN
ma-60	252	6	θ∈θ	θ∈θ	NOUN
ma-60	253	1	|	|	ADV
ma-60	253	2	∫	∫	PROPN
ma-60	253	3	t	t	PROPN
ma-60	253	4	0	0	X
ma-60	254	1	|v(θ	|v(θ	PROPN
ma-60	254	2	,	,	PUNCT
ma-60	254	3	xs	xs	PROPN
ma-60	254	4	)	)	PUNCT
ma-60	254	5	2ds	2ds	NOUN
ma-60	255	1	−	−	PROPN
ma-60	256	1	g2	g2	PROPN
ma-60	256	2	n(θ)|2	n(θ)|2	PROPN
ma-60	256	3	m	m	PART
ma-60	256	4	}	}	PUNCT
ma-60	256	5	e	e	X
ma-60	256	6	{	{	PUNCT
ma-60	256	7	sup	sup	NOUN
ma-60	256	8	θ∈θ	θ∈θ	NOUN
ma-60	256	9	|	|	ADV
ma-60	256	10	∫	∫	PROPN
ma-60	256	11	t	t	PROPN
ma-60	256	12	0	0	X
ma-60	257	1	|v(θ	|v(θ	PROPN
ma-60	257	2	,	,	PUNCT
ma-60	257	3	xs	xs	PROPN
ma-60	257	4	)	)	PUNCT
ma-60	258	1	2ds	2ds	NOUN
ma-60	259	1	−	−	PROPN
ma-60	260	1	h	h	NOUN
ma-60	260	2	n∑	n∑	PROPN
ma-60	260	3	i=1	i=1	PROPN
ma-60	261	1	|v(θ	|v(θ	PROPN
ma-60	261	2	,	,	PUNCT
ma-60	261	3	xti−1	xti−1	PROPN
ma-60	261	4	)	)	PUNCT
ma-60	261	5	|2|2	|2|2	NOUN
ma-60	261	6	m	m	NOUN
ma-60	261	7	}	}	PUNCT
ma-60	261	8	=	=	SYM
ma-60	261	9	e	e	X
ma-60	261	10	{	{	PUNCT
ma-60	261	11	sup	sup	NOUN
ma-60	261	12	θ∈θ	θ∈θ	NOUN
ma-60	262	1	|	|	INTJ
ma-60	262	2	n∑	n∑	PROPN
ma-60	262	3	i=1	i=1	PROPN
ma-60	262	4	∫	∫	PROPN
ma-60	262	5	ti	ti	PROPN
ma-60	262	6	ti−1	ti−1	PROPN
ma-60	262	7	n∑	n∑	NOUN
ma-60	262	8	i=1	i=1	PROPN
ma-60	263	1	(	(	PUNCT
ma-60	263	2	v(θ	v(θ	PROPN
ma-60	263	3	,	,	PUNCT
ma-60	263	4	xs	xs	PROPN
ma-60	263	5	−	−	PROPN
ma-60	264	1	v(θ	v(θ	PROPN
ma-60	264	2	,	,	PUNCT
ma-60	264	3	xti−1	xti−1	PROPN
ma-60	264	4	)	)	PUNCT
ma-60	264	5	)	)	PUNCT
ma-60	264	6	(	(	PUNCT
ma-60	264	7	v(θ	v(θ	PROPN
ma-60	264	8	,	,	PUNCT
ma-60	264	9	xs	xs	PROPN
ma-60	264	10	+	+	PROPN
ma-60	264	11	v(θ	v(θ	PROPN
ma-60	264	12	,	,	PUNCT
ma-60	264	13	xti−1	xti−1	PROPN
ma-60	264	14	)	)	PUNCT
ma-60	264	15	)	)	PUNCT
ma-60	265	1	ds|2	ds|2	PROPN
ma-60	265	2	m	m	PROPN
ma-60	265	3	}	}	PUNCT
ma-60	265	4	.	.	PUNCT
ma-60	266	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	266	2	eur	eur	NOUN
ma-60	266	3	.	.	PUNCT
ma-60	267	1	j.	j.	PROPN
ma-60	267	2	math	math	PROPN
ma-60	267	3	.	.	PUNCT
ma-60	268	1	anal	anal	PROPN
ma-60	268	2	.	.	PUNCT
ma-60	269	1	10.28924	10.28924	NUM
ma-60	269	2	/	/	SYM
ma-60	269	3	ada	ada	PROPN
ma-60	269	4	/	/	SYM
ma-60	269	5	ma.2.7	ma.2.7	PROPN
ma-60	269	6	10hölder	10hölder	PROPN
ma-60	269	7	inequality	inequality	NOUN
ma-60	269	8	implies	imply	VERB
ma-60	269	9	the	the	DET
ma-60	269	10	above	above	ADJ
ma-60	269	11	expectation	expectation	NOUN
ma-60	269	12	≤	≤	PUNCT
ma-60	269	13	t	t	NOUN
ma-60	269	14	2m−1e	2m−1e	NUM
ma-60	269	15	sup	sup	NOUN
ma-60	269	16	θ∈θ	θ∈θ	NOUN
ma-60	269	17	n∑	n∑	PROPN
ma-60	270	1	i=1	i=1	PROPN
ma-60	271	1	{	{	PUNCT
ma-60	271	2	∫	∫	PROPN
ma-60	271	3	ti	ti	PROPN
ma-60	271	4	ti−1	ti−1	PROPN
ma-60	271	5	|v(θ	|v(θ	PROPN
ma-60	271	6	,	,	PUNCT
ma-60	271	7	xs	xs	PROPN
ma-60	271	8	−	−	PROPN
ma-60	271	9	v(θ	v(θ	PROPN
ma-60	271	10	,	,	PUNCT
ma-60	271	11	xti−1	xti−1	PROPN
ma-60	271	12	)	)	PUNCT
ma-60	271	13	|2m|v(θ	|2m|v(θ	PROPN
ma-60	271	14	,	,	PUNCT
ma-60	271	15	xs	xs	PROPN
ma-60	271	16	+	+	SYM
ma-60	271	17	v(θ	v(θ	PROPN
ma-60	271	18	,	,	PUNCT
ma-60	271	19	xti−1	xti−1	PROPN
ma-60	271	20	)	)	PUNCT
ma-60	271	21	)	)	PUNCT
ma-60	271	22	|2	|2	NUM
ma-60	271	23	m	m	NOUN
ma-60	271	24	}	}	PUNCT
ma-60	271	25	≤	≤	PROPN
ma-60	271	26	t	t	PROPN
ma-60	271	27	2m−1	2m−1	NUM
ma-60	271	28	n∑	n∑	PROPN
ma-60	271	29	i=1	i=1	PROPN
ma-60	272	1	∫	∫	PROPN
ma-60	272	2	ti	ti	PROPN
ma-60	272	3	ti−1	ti−1	NOUN
ma-60	272	4	e[sup	e[sup	NOUN
ma-60	272	5	θ∈θ	θ∈θ	NOUN
ma-60	272	6	|v(θ	|v(θ	PROPN
ma-60	272	7	,	,	PUNCT
ma-60	272	8	xs	xs	PROPN
ma-60	272	9	−	−	PROPN
ma-60	272	10	v(θ	v(θ	PROPN
ma-60	272	11	,	,	PUNCT
ma-60	272	12	xti−1	xti−1	PROPN
ma-60	272	13	)	)	PUNCT
ma-60	272	14	|2	|2	NUM
ma-60	272	15	m	m	PROPN
ma-60	272	16	sup	sup	NOUN
ma-60	272	17	θ∈θ	θ∈θ	NOUN
ma-60	272	18	|v(θ	|v(θ	PROPN
ma-60	272	19	,	,	PUNCT
ma-60	272	20	xs	xs	PROPN
ma-60	272	21	+	+	PROPN
ma-60	272	22	v(θ	v(θ	PROPN
ma-60	272	23	,	,	PUNCT
ma-60	272	24	xti−1	xti−1	PROPN
ma-60	272	25	)	)	PUNCT
ma-60	272	26	)	)	PUNCT
ma-60	272	27	|2m]ds	|2m]ds	PUNCT
ma-60	273	1	≤	≤	NUM
ma-60	273	2	t	t	PROPN
ma-60	273	3	2m−1k2m22mum	2m−1k2m22mum	NUM
ma-60	273	4	n∑	n∑	PROPN
ma-60	273	5	i=1	i=1	PROPN
ma-60	274	1	∫	∫	PROPN
ma-60	274	2	ti	ti	PROPN
ma-60	274	3	ti−1	ti−1	NOUN
ma-60	274	4	e[|xs	e[|xs	PROPN
ma-60	274	5	−xti−1	−xti−1	PROPN
ma-60	274	6	|2m(|c(xs)|2	|2m(|c(xs)|2	PROPN
ma-60	274	7	m	m	PROPN
ma-60	274	8	+	+	NUM
ma-60	274	9	|c(xti−1	|c(xti−1	NUM
ma-60	274	10	)	)	PUNCT
ma-60	274	11	)	)	PUNCT
ma-60	275	1	|2m]ds	|2m]ds	PUNCT
ma-60	275	2	≤	≤	NUM
ma-60	275	3	t	t	PROPN
ma-60	275	4	2m−1k2m22m+1um	2m−1k2m22m+1um	NUM
ma-60	275	5	n∑	n∑	PROPN
ma-60	275	6	i=1	i=1	PROPN
ma-60	275	7	∫	∫	PROPN
ma-60	275	8	ti	ti	PROPN
ma-60	275	9	ti−1	ti−1	PROPN
ma-60	275	10	(	(	PUNCT
ma-60	275	11	e|xs	e|xs	PUNCT
ma-60	275	12	−xti−1	−xti−1	PROPN
ma-60	275	13	)	)	PUNCT
ma-60	276	1	|4m)1/2(e|c(xs)|4	|4m)1/2(e|c(xs)|4	X
ma-60	276	2	m	m	PROPN
ma-60	276	3	+	+	ADJ
ma-60	276	4	e|c(xti−1	e|c(xti−1	X
ma-60	276	5	)	)	PUNCT
ma-60	276	6	)	)	PUNCT
ma-60	276	7	|4m)1/2ds	|4m)1/2ds	NOUN
ma-60	277	1	≤	≤	PROPN
ma-60	277	2	t	t	PROPN
ma-60	277	3	2m−1k2m22m+1umm	2m−1k2m22m+1umm	NUM
ma-60	278	1	1/2(e|c(x0)|2m))1/2	1/2(e|c(x0)|2m))1/2	PROPN
ma-60	278	2	n∑	n∑	PROPN
ma-60	279	1	i=1	i=1	PROPN
ma-60	279	2	∫	∫	PROPN
ma-60	279	3	ti	ti	PROPN
ma-60	279	4	ti−1	ti−1	PROPN
ma-60	279	5	(	(	PUNCT
ma-60	279	6	s	s	NOUN
ma-60	279	7	−	−	PROPN
ma-60	279	8	ti−1)mds|	ti−1)mds|	NOUN
ma-60	279	9	(	(	PUNCT
ma-60	279	10	by	by	ADP
ma-60	279	11	stationarity	stationarity	NOUN
ma-60	279	12	)	)	PUNCT
ma-60	279	13	≤	≤	NUM
ma-60	279	14	rmt	rmt	NOUN
ma-60	279	15	2m−1n(t	2m−1n(t	NUM
ma-60	279	16	/	/	SYM
ma-60	279	17	n)m+1	n)m+1	PROPN
ma-60	279	18	where	where	SCONJ
ma-60	279	19	um	um	INTJ
ma-60	279	20	:	:	PUNCT
ma-60	279	21	=	=	SYM
ma-60	279	22	supθ∈θ	supθ∈θ	PROPN
ma-60	279	23	|θ	|θ	NUM
ma-60	279	24	−	−	PROPN
ma-60	279	25	θ0|2	θ0|2	X
ma-60	279	26	m	m	PRON
ma-60	279	27	<	<	X
ma-60	279	28	∞	∞	PROPN
ma-60	279	29	and	and	CCONJ
ma-60	279	30	rm	rm	NOUN
ma-60	279	31	:	:	PUNCT
ma-60	280	1	=	=	PUNCT
ma-60	280	2	k2m22m+2umm	k2m22m+2umm	PROPN
ma-60	281	1	1/2(e|c(x0)|4m)1/2	1/2(e|c(x0)|4m)1/2	NUM
ma-60	281	2	.	.	PUNCT
ma-60	282	1	hence	hence	ADV
ma-60	282	2	if	if	SCONJ
ma-60	282	3	m	m	VERB
ma-60	282	4	>	>	X
ma-60	282	5	4	4	NUM
ma-60	282	6	,	,	PUNCT
ma-60	282	7	e	e	X
ma-60	282	8	{	{	PUNCT
ma-60	282	9	sup	sup	NOUN
ma-60	282	10	θ∈θ	θ∈θ	NOUN
ma-60	282	11	|	|	ADV
ma-60	283	1	1	1	NUM
ma-60	283	2	t	t	NOUN
ma-60	283	3	∫	∫	PROPN
ma-60	283	4	t	t	PROPN
ma-60	283	5	0	0	PROPN
ma-60	283	6	|v(θ	|v(θ	PROPN
ma-60	283	7	,	,	PUNCT
ma-60	283	8	xs)|2ds	xs)|2ds	PROPN
ma-60	283	9	−	−	PROPN
ma-60	283	10	1	1	NUM
ma-60	283	11	t	t	PROPN
ma-60	283	12	g2	g2	PROPN
ma-60	283	13	n(θ)|2	n(θ)|2	PROPN
ma-60	283	14	m	m	NOUN
ma-60	283	15	}	}	PUNCT
ma-60	283	16	≤	≤	NOUN
ma-60	283	17	rm(t	rm(t	ADV
ma-60	283	18	/	/	SYM
ma-60	283	19	n)m	n)m	ADJ
ma-60	283	20	≤	≤	ADJ
ma-60	283	21	rmhm/2n−m/2	rmhm/2n−m/2	NOUN
ma-60	283	22	.	.	PUNCT
ma-60	283	23	borel	borel	PROPN
ma-60	283	24	-	-	PUNCT
ma-60	283	25	cantelli	cantelli	PROPN
ma-60	283	26	argument	argument	NOUN
ma-60	283	27	yields	yield	VERB
ma-60	283	28	the	the	DET
ma-60	283	29	result	result	NOUN
ma-60	283	30	.	.	PUNCT
ma-60	284	1	now	now	ADV
ma-60	284	2	we	we	PRON
ma-60	284	3	are	be	AUX
ma-60	284	4	ready	ready	ADJ
ma-60	284	5	to	to	PART
ma-60	284	6	present	present	VERB
ma-60	284	7	the	the	DET
ma-60	284	8	main	main	ADJ
ma-60	284	9	result	result	NOUN
ma-60	284	10	of	of	ADP
ma-60	284	11	the	the	DET
ma-60	284	12	paper	paper	NOUN
ma-60	284	13	:	:	PUNCT
ma-60	284	14	theorem	theorem	VERB
ma-60	284	15	2.2	2.2	NUM
ma-60	284	16	under	under	ADP
ma-60	284	17	the	the	DET
ma-60	284	18	conditions	condition	NOUN
ma-60	284	19	(	(	PUNCT
ma-60	284	20	a1)-(a5	a1)-(a5	ADV
ma-60	284	21	)	)	PUNCT
ma-60	284	22	,	,	PUNCT
ma-60	284	23	the	the	DET
ma-60	284	24	samle	samle	PROPN
ma-60	284	25	is	be	AUX
ma-60	284	26	strongly	strongly	ADV
ma-60	284	27	consistent	consistent	ADJ
ma-60	284	28	,	,	PUNCT
ma-60	284	29	i.e.	i.e.	X
ma-60	284	30	,	,	PUNCT
ma-60	284	31	θ̃n	θ̃n	NUM
ma-60	284	32	,	,	PUNCT
ma-60	284	33	t	t	PROPN
ma-60	284	34	→	→	SYM
ma-60	284	35	θ0	θ0	PROPN
ma-60	284	36	a.s	a.s	PROPN
ma-60	284	37	.	.	PROPN
ma-60	284	38	as	as	ADP
ma-60	284	39	t	t	PROPN
ma-60	284	40	→∞	→∞	PROPN
ma-60	284	41	,	,	PUNCT
ma-60	284	42	t	t	PROPN
ma-60	284	43	n	n	PROPN
ma-60	284	44	→	→	SYM
ma-60	284	45	0	0	X
ma-60	284	46	.	.	PUNCT
ma-60	285	1	proof	proof	NOUN
ma-60	285	2	.	.	PUNCT
ma-60	286	1	let	let	VERB
ma-60	286	2	∼	∼	NOUN
ma-60	286	3	l	l	NOUN
ma-60	286	4	n	n	CCONJ
ma-60	286	5	,	,	PUNCT
ma-60	286	6	t	t	PROPN
ma-60	286	7	(	(	PUNCT
ma-60	286	8	θ	θ	NOUN
ma-60	286	9	)	)	PUNCT
ma-60	286	10	:	:	PUNCT
ma-60	286	11	=	=	SYM
ma-60	286	12	log	log	VERB
ma-60	286	13	∼	∼	NOUN
ma-60	286	14	ln	ln	ADJ
ma-60	286	15	,	,	PUNCT
ma-60	286	16	t	t	PROPN
ma-60	286	17	(	(	PUNCT
ma-60	286	18	θ	θ	NOUN
ma-60	286	19	)	)	PUNCT
ma-60	286	20	and	and	CCONJ
ma-60	286	21	v(θ	v(θ	PROPN
ma-60	286	22	,	,	PUNCT
ma-60	286	23	x	x	NOUN
ma-60	286	24	)	)	PUNCT
ma-60	286	25	:	:	PUNCT
ma-60	287	1	=	=	SYM
ma-60	287	2	f	f	X
ma-60	287	3	(	(	PUNCT
ma-60	287	4	θ	θ	PROPN
ma-60	287	5	,	,	PUNCT
ma-60	287	6	x)−	x)−	PROPN
ma-60	287	7	f	f	PROPN
ma-60	287	8	(	(	PUNCT
ma-60	287	9	θ0	θ0	PROPN
ma-60	287	10	,	,	PUNCT
ma-60	287	11	x	x	NOUN
ma-60	287	12	)	)	PUNCT
ma-60	287	13	.	.	PUNCT
ma-60	288	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	288	2	eur	eur	NOUN
ma-60	288	3	.	.	PUNCT
ma-60	289	1	j.	j.	PROPN
ma-60	289	2	math	math	PROPN
ma-60	289	3	.	.	PUNCT
ma-60	290	1	anal	anal	PROPN
ma-60	290	2	.	.	PUNCT
ma-60	291	1	10.28924	10.28924	NUM
ma-60	291	2	/	/	SYM
ma-60	291	3	ada	ada	PROPN
ma-60	291	4	/	/	SYM
ma-60	291	5	ma.2.7	ma.2.7	PROPN
ma-60	292	1	11note	11note	PROPN
ma-60	292	2	that	that	SCONJ
ma-60	292	3	1	1	NUM
ma-60	292	4	t	t	NOUN
ma-60	292	5	[	[	X
ma-60	292	6	∼	∼	NOUN
ma-60	292	7	l	l	NOUN
ma-60	292	8	n	n	CCONJ
ma-60	292	9	,	,	PUNCT
ma-60	292	10	t	t	PROPN
ma-60	292	11	(	(	PUNCT
ma-60	292	12	θ)−	θ)−	PROPN
ma-60	292	13	∼	∼	NOUN
ma-60	292	14	l	l	NOUN
ma-60	292	15	n	n	CCONJ
ma-60	292	16	,	,	PUNCT
ma-60	292	17	t	t	PROPN
ma-60	292	18	(	(	PUNCT
ma-60	292	19	θ0	θ0	PROPN
ma-60	292	20	)	)	PUNCT
ma-60	292	21	]	]	PUNCT
ma-60	293	1	=	=	SYM
ma-60	293	2	1	1	NUM
ma-60	293	3	2	2	NUM
ma-60	293	4	t	t	NUM
ma-60	293	5	n∑	n∑	NOUN
ma-60	293	6	i=1	i=1	X
ma-60	294	1	[	[	X
ma-60	294	2	f	f	X
ma-60	294	3	(	(	PUNCT
ma-60	294	4	θ	θ	PROPN
ma-60	294	5	,	,	PUNCT
ma-60	294	6	xti−1	xti−1	PROPN
ma-60	294	7	)	)	PUNCT
ma-60	295	1	+	+	CCONJ
ma-60	295	2	f	f	PROPN
ma-60	295	3	(	(	PUNCT
ma-60	295	4	θ	θ	PROPN
ma-60	295	5	,	,	PUNCT
ma-60	295	6	xti	xti	PROPN
ma-60	295	7	)	)	PUNCT
ma-60	295	8	]	]	PUNCT
ma-60	295	9	(	(	PUNCT
ma-60	295	10	xti	xti	PROPN
ma-60	295	11	−xti−1	−xti−1	PROPN
ma-60	295	12	)	)	PUNCT
ma-60	296	1	−	−	NOUN
ma-60	296	2	1	1	NUM
ma-60	296	3	2	2	NUM
ma-60	296	4	t	t	NUM
ma-60	296	5	n∑	n∑	NOUN
ma-60	296	6	i=1	i=1	X
ma-60	297	1	[	[	X
ma-60	297	2	f	f	X
ma-60	297	3	(	(	PUNCT
ma-60	297	4	θ0	θ0	PROPN
ma-60	297	5	,	,	PUNCT
ma-60	297	6	xti−1	xti−1	PROPN
ma-60	297	7	)	)	PUNCT
ma-60	298	1	+	+	CCONJ
ma-60	298	2	f	f	X
ma-60	298	3	(	(	PUNCT
ma-60	298	4	θ0	θ0	PROPN
ma-60	298	5	,	,	PUNCT
ma-60	298	6	xti	xti	PROPN
ma-60	298	7	)	)	PUNCT
ma-60	298	8	]	]	PUNCT
ma-60	298	9	(	(	PUNCT
ma-60	298	10	xti	xti	PROPN
ma-60	298	11	−xti−1	−xti−1	PROPN
ma-60	298	12	)	)	PUNCT
ma-60	299	1	−	−	PROPN
ma-60	299	2	1	1	NUM
ma-60	299	3	2n	2n	NUM
ma-60	299	4	n∑	n∑	X
ma-60	299	5	i=1	i=1	X
ma-60	300	1	[	[	X
ma-60	300	2	ḟ	ḟ	NOUN
ma-60	300	3	(	(	PUNCT
ma-60	300	4	θ	θ	PROPN
ma-60	300	5	,	,	PUNCT
ma-60	300	6	xti−1	xti−1	PROPN
ma-60	300	7	)	)	PUNCT
ma-60	300	8	−	−	PROPN
ma-60	300	9	ḟ	ḟ	NOUN
ma-60	300	10	(	(	PUNCT
ma-60	300	11	θ0	θ0	PROPN
ma-60	300	12	,	,	PUNCT
ma-60	300	13	xti−1	xti−1	PROPN
ma-60	300	14	)	)	PUNCT
ma-60	300	15	]	]	PUNCT
ma-60	301	1	−	−	PROPN
ma-60	301	2	1	1	NUM
ma-60	301	3	2n	2n	NUM
ma-60	301	4	n∑	n∑	X
ma-60	301	5	i=1	i=1	X
ma-60	302	1	[	[	X
ma-60	302	2	f	f	X
ma-60	302	3	2(θ	2(θ	NUM
ma-60	302	4	,	,	PUNCT
ma-60	302	5	xti−1	xti−1	PROPN
ma-60	302	6	)	)	PUNCT
ma-60	302	7	−	−	PROPN
ma-60	302	8	f	f	PROPN
ma-60	302	9	2(θ0	2(θ0	PROPN
ma-60	302	10	,	,	PUNCT
ma-60	302	11	xti−1	xti−1	PROPN
ma-60	302	12	)	)	PUNCT
ma-60	302	13	]	]	PUNCT
ma-60	303	1	=	=	SYM
ma-60	303	2	1	1	NUM
ma-60	303	3	2	2	NUM
ma-60	303	4	t	t	NOUN
ma-60	303	5	{	{	PUNCT
ma-60	303	6	n∑	n∑	NOUN
ma-60	303	7	i=1	i=1	PROPN
ma-60	303	8	[	[	PUNCT
ma-60	303	9	v(θ	v(θ	PROPN
ma-60	303	10	,	,	PUNCT
ma-60	303	11	xti−1	xti−1	PROPN
ma-60	303	12	)	)	PUNCT
ma-60	304	1	+	+	CCONJ
ma-60	304	2	v(θ	v(θ	PROPN
ma-60	304	3	,	,	PUNCT
ma-60	304	4	xti	xti	PROPN
ma-60	304	5	)	)	PUNCT
ma-60	304	6	]	]	PUNCT
ma-60	305	1	∆wi	∆wi	PROPN
ma-60	305	2	−	−	PROPN
ma-60	306	1	h	h	NOUN
ma-60	306	2	n∑	n∑	PROPN
ma-60	306	3	i=1	i=1	PROPN
ma-60	307	1	v̇(θ	v̇(θ	NOUN
ma-60	307	2	,	,	PUNCT
ma-60	307	3	xti−1	xti−1	PROPN
ma-60	307	4	)	)	PUNCT
ma-60	307	5	}	}	PUNCT
ma-60	308	1	−	−	PROPN
ma-60	308	2	1	1	NUM
ma-60	308	3	2n	2n	NUM
ma-60	308	4	n∑	n∑	X
ma-60	308	5	i=1	i=1	PROPN
ma-60	308	6	v2(θ	v2(θ	PROPN
ma-60	308	7	,	,	PUNCT
ma-60	308	8	xti−1	xti−1	PROPN
ma-60	308	9	)	)	PUNCT
ma-60	309	1	−	−	PROPN
ma-60	309	2	1	1	NUM
ma-60	310	1	t	t	NOUN
ma-60	310	2	n∑	n∑	NOUN
ma-60	311	1	i=1	i=1	PROPN
ma-60	311	2	∫	∫	PROPN
ma-60	311	3	ti	ti	PROPN
ma-60	311	4	ti−1	ti−1	PROPN
ma-60	311	5	v(θ	v(θ	PROPN
ma-60	311	6	,	,	PUNCT
ma-60	311	7	xti−1	xti−1	PROPN
ma-60	311	8	)	)	PUNCT
ma-60	312	1	[	[	X
ma-60	312	2	f	f	X
ma-60	312	3	(	(	PUNCT
ma-60	312	4	θ0	θ0	PROPN
ma-60	312	5	,	,	PUNCT
ma-60	312	6	xt	xt	X
ma-60	312	7	)	)	PUNCT
ma-60	313	1	+	+	CCONJ
ma-60	313	2	f	f	X
ma-60	313	3	(	(	PUNCT
ma-60	313	4	θ0	θ0	PROPN
ma-60	313	5	,	,	PUNCT
ma-60	313	6	xti−1	xti−1	PROPN
ma-60	313	7	)	)	PUNCT
ma-60	313	8	]	]	X
ma-60	313	9	dt	dt	X
ma-60	314	1	−	−	PROPN
ma-60	314	2	1	1	NUM
ma-60	314	3	t	t	NOUN
ma-60	314	4	n∑	n∑	NOUN
ma-60	314	5	i=1	i=1	PROPN
ma-60	315	1	∫	∫	X
ma-60	315	2	ti	ti	PROPN
ma-60	315	3	ti−1	ti−1	PROPN
ma-60	315	4	[	[	X
ma-60	315	5	v(θ	v(θ	PROPN
ma-60	315	6	,	,	PUNCT
ma-60	315	7	xti	xti	PROPN
ma-60	315	8	)	)	PUNCT
ma-60	316	1	f	f	PROPN
ma-60	316	2	(	(	PUNCT
ma-60	316	3	θ0	θ0	PROPN
ma-60	316	4	,	,	PUNCT
ma-60	316	5	xt)−	xt)−	PROPN
ma-60	316	6	v(θ0	v(θ0	NOUN
ma-60	316	7	,	,	PUNCT
ma-60	316	8	xti−1	xti−1	PROPN
ma-60	316	9	)	)	PUNCT
ma-60	316	10	f	f	PROPN
ma-60	316	11	(	(	PUNCT
ma-60	316	12	θ0	θ0	PROPN
ma-60	316	13	,	,	PUNCT
ma-60	316	14	xti−1	xti−1	PROPN
ma-60	316	15	)	)	PUNCT
ma-60	316	16	]	]	X
ma-60	316	17	dt	dt	X
ma-60	317	1	=	=	NOUN
ma-60	317	2	:	:	PUNCT
ma-60	317	3	i1	i1	PROPN
ma-60	317	4	−	−	PROPN
ma-60	317	5	i2	i2	PROPN
ma-60	317	6	−	−	PROPN
ma-60	317	7	i3	i3	PROPN
ma-60	317	8	−	−	PROPN
ma-60	317	9	i4	i4	PROPN
ma-60	317	10	.	.	PUNCT
ma-60	318	1	let	let	VERB
ma-60	318	2	dn	dn	VERB
ma-60	318	3	,	,	PUNCT
ma-60	318	4	t	t	PROPN
ma-60	318	5	(	(	PUNCT
ma-60	318	6	θ	θ	NOUN
ma-60	318	7	)	)	PUNCT
ma-60	318	8	:	:	PUNCT
ma-60	319	1	=	=	SYM
ma-60	319	2	1	1	NUM
ma-60	319	3	t	t	NOUN
ma-60	319	4	[	[	X
ma-60	319	5	∼	∼	NOUN
ma-60	319	6	l	l	NOUN
ma-60	319	7	n	n	CCONJ
ma-60	319	8	,	,	PUNCT
ma-60	319	9	t	t	PROPN
ma-60	319	10	(	(	PUNCT
ma-60	319	11	θ)−	θ)−	PROPN
ma-60	319	12	∼	∼	NOUN
ma-60	319	13	l	l	NOUN
ma-60	319	14	n	n	CCONJ
ma-60	319	15	,	,	PUNCT
ma-60	319	16	t	t	PROPN
ma-60	319	17	(	(	PUNCT
ma-60	319	18	θ0	θ0	PROPN
ma-60	319	19	)	)	PUNCT
ma-60	319	20	]	]	PUNCT
ma-60	319	21	.below	.below	X
ma-60	319	22	lemma	lemma	PROPN
ma-60	319	23	2.1	2.1	NUM
ma-60	319	24	-	-	SYM
ma-60	319	25	2.3	2.3	NUM
ma-60	319	26	show	show	NOUN
ma-60	319	27	that	that	SCONJ
ma-60	319	28	dn	dn	PROPN
ma-60	319	29	,	,	PUNCT
ma-60	319	30	t	t	PROPN
ma-60	319	31	(	(	PUNCT
ma-60	319	32	θ)→	θ)→	PROPN
ma-60	319	33	d(θ	d(θ	PROPN
ma-60	319	34	)	)	PUNCT
ma-60	320	1	a.s	a.s	PROPN
ma-60	320	2	.	.	PROPN
ma-60	320	3	as	as	ADP
ma-60	320	4	t	t	PROPN
ma-60	320	5	→∞	→∞	PROPN
ma-60	320	6	,	,	PUNCT
ma-60	320	7	t	t	PROPN
ma-60	320	8	n	n	PROPN
ma-60	320	9	→	→	SYM
ma-60	320	10	0	0	NUM
ma-60	321	1	where	where	SCONJ
ma-60	321	2	d(θ	d(θ	NOUN
ma-60	321	3	)	)	PUNCT
ma-60	321	4	:	:	PUNCT
ma-60	322	1	=	=	PUNCT
ma-60	322	2	−	−	PROPN
ma-60	322	3	1	1	NUM
ma-60	322	4	2	2	NUM
ma-60	322	5	e|f	e|f	NOUN
ma-60	322	6	(	(	PUNCT
ma-60	322	7	θ	θ	NOUN
ma-60	322	8	,	,	PUNCT
ma-60	322	9	x0)−	x0)−	PROPN
ma-60	322	10	f	f	PROPN
ma-60	322	11	(	(	PUNCT
ma-60	322	12	θ0	θ0	PROPN
ma-60	322	13	,	,	PUNCT
ma-60	322	14	x	x	X
ma-60	322	15	0)|2.thus	0)|2.thus	PUNCT
ma-60	322	16	condition	condition	NOUN
ma-60	322	17	(	(	PUNCT
ma-60	322	18	c1	c1	PROPN
ma-60	322	19	)	)	PUNCT
ma-60	322	20	of	of	ADP
ma-60	322	21	theorem	theorem	ADJ
ma-60	322	22	2.1	2.1	NUM
ma-60	322	23	is	be	AUX
ma-60	322	24	satisfied	satisfied	ADJ
ma-60	322	25	.	.	PUNCT
ma-60	323	1	the	the	DET
ma-60	323	2	limiting	limit	VERB
ma-60	323	3	function	function	NOUN
ma-60	323	4	d(θ	d(θ	PROPN
ma-60	323	5	)	)	PUNCT
ma-60	323	6	satisfies	satisfy	VERB
ma-60	323	7	the	the	DET
ma-60	323	8	conditions(c2	conditions(c2	NOUN
ma-60	323	9	)	)	PUNCT
ma-60	323	10	and	and	CCONJ
ma-60	323	11	(	(	PUNCT
ma-60	323	12	c3	c3	PROPN
ma-60	323	13	)	)	PUNCT
ma-60	323	14	of	of	ADP
ma-60	323	15	theorem	theorem	ADJ
ma-60	323	16	.	.	PUNCT
ma-60	324	1	hence	hence	ADV
ma-60	324	2	as	as	ADP
ma-60	324	3	a	a	DET
ma-60	324	4	consequence	consequence	NOUN
ma-60	324	5	of	of	ADP
ma-60	324	6	theorem	theorem	ADJ
ma-60	324	7	2.1	2.1	NUM
ma-60	324	8	we	we	PRON
ma-60	324	9	obtain	obtain	VERB
ma-60	324	10	the	the	DET
ma-60	324	11	result	result	NOUN
ma-60	324	12	.	.	PUNCT
ma-60	325	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	325	2	eur	eur	NOUN
ma-60	325	3	.	.	PUNCT
ma-60	326	1	j.	j.	PROPN
ma-60	326	2	math	math	PROPN
ma-60	326	3	.	.	PUNCT
ma-60	327	1	anal	anal	PROPN
ma-60	327	2	.	.	PUNCT
ma-60	328	1	10.28924	10.28924	NUM
ma-60	328	2	/	/	SYM
ma-60	328	3	ada	ada	PROPN
ma-60	328	4	/	/	SYM
ma-60	328	5	ma.2.7	ma.2.7	PROPN
ma-60	328	6	12	12	NUM
ma-60	328	7	3	3	NUM
ma-60	328	8	.	.	PUNCT
ma-60	328	9	ornstein	ornstein	PROPN
ma-60	328	10	-	-	PUNCT
ma-60	328	11	uhlenbeck	uhlenbeck	PROPN
ma-60	328	12	process	process	NOUN
ma-60	328	13	consider	consider	VERB
ma-60	328	14	the	the	DET
ma-60	328	15	ornstein	ornstein	ADJ
ma-60	328	16	-	-	PUNCT
ma-60	328	17	uhlenbeck	uhlenbeck	PROPN
ma-60	328	18	process	process	NOUN
ma-60	328	19	satisfying	satisfy	VERB
ma-60	328	20	dxt	dxt	PROPN
ma-60	328	21	=	=	PUNCT
ma-60	328	22	θxtdt	θxtdt	PROPN
ma-60	328	23	+	+	CCONJ
ma-60	328	24	dwt	dwt	PROPN
ma-60	328	25	,	,	PUNCT
ma-60	328	26	t	t	PROPN
ma-60	328	27	≥	≥	PROPN
ma-60	328	28	0	0	NUM
ma-60	328	29	,	,	PUNCT
ma-60	328	30	x0	x0	PROPN
ma-60	328	31	=	=	PUNCT
ma-60	328	32	0	0	NUM
ma-60	328	33	,	,	PUNCT
ma-60	328	34	θ	θ	PROPN
ma-60	328	35	<	<	X
ma-60	328	36	0	0	NUM
ma-60	328	37	.	.	PUNCT
ma-60	329	1	the	the	DET
ma-60	329	2	euler	euler	PROPN
ma-60	329	3	estimator	estimator	NOUN
ma-60	329	4	(	(	PUNCT
ma-60	329	5	conditional	conditional	ADJ
ma-60	329	6	least	least	ADJ
ma-60	329	7	squares	square	NOUN
ma-60	329	8	estimator	estimator	NOUN
ma-60	329	9	)	)	PUNCT
ma-60	329	10	is	be	AUX
ma-60	329	11	given	give	VERB
ma-60	329	12	by	by	ADP
ma-60	329	13	θ̌n	θ̌n	PROPN
ma-60	329	14	,	,	PUNCT
ma-60	329	15	t	t	PROPN
ma-60	330	1	=	=	SYM
ma-60	330	2	∑n	∑n	PROPN
ma-60	330	3	i=1xti−1	i=1xti−1	PROPN
ma-60	330	4	(	(	PUNCT
ma-60	330	5	xti	xti	PROPN
ma-60	330	6	−xti−1	−xti−1	PROPN
ma-60	330	7	)	)	PUNCT
ma-60	331	1	h	h	NOUN
ma-60	332	1	∑n	∑n	PROPN
ma-60	332	2	i=1x	i=1x	VERB
ma-60	332	3	2	2	NUM
ma-60	332	4	ti−1	ti−1	NOUN
ma-60	332	5	.	.	PUNCT
ma-60	333	1	strong	strong	ADJ
ma-60	333	2	consistency	consistency	NOUN
ma-60	333	3	of	of	ADP
ma-60	333	4	this	this	DET
ma-60	333	5	estimator	estimator	NOUN
ma-60	333	6	is	be	AUX
ma-60	333	7	obtained	obtain	VERB
ma-60	333	8	in	in	ADP
ma-60	333	9	kasonga	kasonga	NOUN
ma-60	333	10	(	(	PUNCT
ma-60	333	11	1988	1988	NUM
ma-60	333	12	)	)	PUNCT
ma-60	333	13	.	.	PUNCT
ma-60	334	1	as	as	ADP
ma-60	334	2	a	a	DET
ma-60	334	3	consequence	consequence	NOUN
ma-60	334	4	of	of	ADP
ma-60	334	5	theorem2.2	theorem2.2	NUM
ma-60	334	6	,	,	PUNCT
ma-60	334	7	we	we	PRON
ma-60	334	8	obtain	obtain	VERB
ma-60	334	9	the	the	DET
ma-60	334	10	strong	strong	ADJ
ma-60	334	11	consistency	consistency	NOUN
ma-60	334	12	of	of	ADP
ma-60	334	13	three	three	NUM
ma-60	334	14	estimators	estimator	NOUN
ma-60	334	15	with	with	ADP
ma-60	334	16	θ̃n	θ̃n	NUM
ma-60	334	17	,	,	PUNCT
ma-60	334	18	t	t	NOUN
ma-60	334	19	=	=	SYM
ma-60	335	1	(	(	PUNCT
ma-60	335	2	x2	x2	PROPN
ma-60	335	3	t	t	PROPN
ma-60	335	4	−	−	PROPN
ma-60	335	5	t	t	PROPN
ma-60	335	6	)	)	PUNCT
ma-60	335	7	/2	/2	PUNCT
ma-60	336	1	h	h	NOUN
ma-60	337	1	∑n	∑n	PROPN
ma-60	337	2	i=1x	i=1x	VERB
ma-60	337	3	2	2	NUM
ma-60	337	4	ti−1	ti−1	NOUN
ma-60	337	5	,	,	PUNCT
ma-60	337	6	θ̄n	θ̄n	PRON
ma-60	337	7	,	,	PUNCT
ma-60	337	8	t,3	t,3	NOUN
ma-60	337	9	=	=	SYM
ma-60	338	1	x2	x2	PROPN
ma-60	338	2	t	t	PROPN
ma-60	338	3	/2	/2	PROPN
ma-60	339	1	h	h	PROPN
ma-60	340	1	∑n	∑n	PROPN
ma-60	340	2	i=1x	i=1x	VERB
ma-60	340	3	2	2	NUM
ma-60	340	4	ti−1	ti−1	NOUN
ma-60	340	5	,	,	PUNCT
ma-60	340	6	θ̂n	θ̂n	ADP
ma-60	340	7	,	,	PUNCT
ma-60	340	8	t,2	t,2	NOUN
ma-60	340	9	=	=	SYM
ma-60	340	10	−t/2	−t/2	NOUN
ma-60	340	11	h	h	NOUN
ma-60	340	12	∑n	∑n	NOUN
ma-60	340	13	i=1x	i=1x	VERB
ma-60	340	14	2	2	NUM
ma-60	340	15	ti−1	ti−1	NOUN
ma-60	340	16	.	.	PUNCT
ma-60	341	1	which	which	PRON
ma-60	341	2	are	be	AUX
ma-60	341	3	samle	samle	NOUN
ma-60	341	4	,	,	PUNCT
ma-60	341	5	yamle	yamle	NOUN
ma-60	341	6	(	(	PUNCT
ma-60	341	7	young	young	ADJ
ma-60	341	8	amle	amle	NOUN
ma-60	341	9	)	)	PUNCT
ma-60	341	10	and	and	CCONJ
ma-60	341	11	,	,	PUNCT
ma-60	341	12	amce	amce	NOUN
ma-60	341	13	respectively	respectively	ADV
ma-60	341	14	as	as	ADP
ma-60	341	15	t	t	PROPN
ma-60	341	16	→	→	SYM
ma-60	341	17	∞	∞	PROPN
ma-60	341	18	and	and	CCONJ
ma-60	341	19	t	t	PROPN
ma-60	341	20	/	/	SYM
ma-60	341	21	n	n	PROPN
ma-60	341	22	→	→	SYM
ma-60	341	23	0.samle	0.samle	NUM
ma-60	341	24	is	be	AUX
ma-60	341	25	the	the	DET
ma-60	341	26	linear	linear	ADJ
ma-60	341	27	combination	combination	NOUN
ma-60	341	28	of	of	ADP
ma-60	341	29	amce	amce	NOUN
ma-60	341	30	and	and	CCONJ
ma-60	341	31	yamle.define	yamle.define	PRON
ma-60	341	32	the	the	DET
ma-60	341	33	continuous	continuous	ADJ
ma-60	341	34	mle	mle	NOUN
ma-60	341	35	,	,	PUNCT
ma-60	341	36	ymle	ymle	NOUN
ma-60	341	37	and	and	CCONJ
ma-60	341	38	mce	mce	PROPN
ma-60	341	39	respectively	respectively	ADV
ma-60	341	40	θt,1	θt,1	PROPN
ma-60	341	41	=	=	SYM
ma-60	341	42	∫	∫	PROPN
ma-60	341	43	t	t	PROPN
ma-60	341	44	0	0	NUM
ma-60	342	1	xtdxt∫	xtdxt∫	PROPN
ma-60	342	2	t	t	PROPN
ma-60	342	3	0	0	NUM
ma-60	343	1	x2	x2	PROPN
ma-60	343	2	t	t	NOUN
ma-60	343	3	dt	dt	X
ma-60	343	4	,	,	PUNCT
ma-60	343	5	θt,2	θt,2	PROPN
ma-60	343	6	=	=	SYM
ma-60	344	1	x2	x2	PROPN
ma-60	344	2	t	t	PROPN
ma-60	344	3	/2∫	/2∫	PROPN
ma-60	345	1	t	t	PROPN
ma-60	345	2	0	0	NUM
ma-60	346	1	x2	x2	PROPN
ma-60	346	2	t	t	NOUN
ma-60	346	3	dt	dt	X
ma-60	346	4	,	,	PUNCT
ma-60	346	5	θt,3	θt,3	PROPN
ma-60	346	6	=	=	PUNCT
ma-60	347	1	−t/2∫	−t/2∫	NOUN
ma-60	348	1	t	t	X
ma-60	348	2	0	0	NUM
ma-60	349	1	x2	x2	PROPN
ma-60	349	2	t	t	PROPN
ma-60	349	3	dt	dt	X
ma-60	349	4	.	.	PUNCT
ma-60	350	1	interpreting	interpret	VERB
ma-60	350	2	∫	∫	PROPN
ma-60	350	3	t0	t0	PROPN
ma-60	350	4	xtdxt	xtdxt	PROPN
ma-60	350	5	to	to	PART
ma-60	350	6	be	be	AUX
ma-60	350	7	the	the	DET
ma-60	350	8	young	young	ADJ
ma-60	350	9	(	(	PUNCT
ma-60	350	10	1936	1936	NUM
ma-60	350	11	)	)	PUNCT
ma-60	350	12	integral	integral	ADJ
ma-60	350	13	,	,	PUNCT
ma-60	350	14	it	it	PRON
ma-60	350	15	equals	equal	VERB
ma-60	350	16	x2	x2	PROPN
ma-60	350	17	t	t	PROPN
ma-60	350	18	/2	/2	PROPN
ma-60	350	19	.	.	PUNCT
ma-60	351	1	belfadli	belfadli	PROPN
ma-60	351	2	et	et	PROPN
ma-60	351	3	al	al	PROPN
ma-60	351	4	.	.	PUNCT
ma-60	352	1	(	(	PUNCT
ma-60	352	2	2011)(see	2011)(see	NUM
ma-60	352	3	also	also	ADV
ma-60	352	4	el	el	PROPN
ma-60	352	5	machkouri	machkouri	PROPN
ma-60	352	6	et	et	PROPN
ma-60	352	7	al	al	PROPN
ma-60	352	8	.	.	PROPN
ma-60	353	1	(	(	PUNCT
ma-60	353	2	2016	2016	NUM
ma-60	353	3	)	)	PUNCT
ma-60	353	4	)	)	PUNCT
ma-60	353	5	obtained	obtain	VERB
ma-60	353	6	the	the	DET
ma-60	353	7	strong	strong	ADJ
ma-60	353	8	consistency	consistency	NOUN
ma-60	353	9	of	of	ADP
ma-60	353	10	θt,2	θt,2	NOUN
ma-60	353	11	as	as	ADP
ma-60	353	12	t	t	PROPN
ma-60	353	13	→	→	SYM
ma-60	353	14	∞.	∞.	PROPN
ma-60	353	15	theyamle	theyamle	NOUN
ma-60	353	16	θ̄n	θ̄n	NOUN
ma-60	353	17	,	,	PUNCT
ma-60	353	18	t,2	t,2	NOUN
ma-60	353	19	is	be	AUX
ma-60	353	20	the	the	DET
ma-60	353	21	euler	euler	NOUN
ma-60	353	22	discretization	discretization	NOUN
ma-60	353	23	of	of	ADP
ma-60	353	24	θt,2	θt,2	NOUN
ma-60	353	25	.	.	PUNCT
ma-60	354	1	lanksa	lanksa	PROPN
ma-60	354	2	(	(	PUNCT
ma-60	354	3	1979	1979	NUM
ma-60	354	4	)	)	PUNCT
ma-60	354	5	obtained	obtain	VERB
ma-60	354	6	strong	strong	ADJ
ma-60	354	7	consistency	consistency	NOUN
ma-60	354	8	ofthe	ofthe	PROPN
ma-60	354	9	mce	mce	PROPN
ma-60	354	10	θt,3	θt,3	PROPN
ma-60	354	11	as	as	ADP
ma-60	354	12	t	t	PROPN
ma-60	354	13	→	→	SYM
ma-60	354	14	∞	∞	PROPN
ma-60	354	15	whose	whose	DET
ma-60	354	16	euler	euler	NOUN
ma-60	354	17	discretetization	discretetization	NOUN
ma-60	354	18	is	be	AUX
ma-60	354	19	θ̂n	θ̂n	ADJ
ma-60	354	20	,	,	PUNCT
ma-60	354	21	t,3	t,3	NOUN
ma-60	354	22	.	.	PUNCT
ma-60	355	1	liptser	liptser	NOUN
ma-60	355	2	and	and	CCONJ
ma-60	355	3	shiryayev	shiryayev	PROPN
ma-60	355	4	(	(	PUNCT
ma-60	355	5	1978)obtained	1978)obtained	NUM
ma-60	355	6	strong	strong	ADJ
ma-60	355	7	consistency	consistency	NOUN
ma-60	355	8	of	of	ADP
ma-60	355	9	the	the	DET
ma-60	355	10	mle	mle	PROPN
ma-60	355	11	θt,1	θt,1	PROPN
ma-60	355	12	as	as	ADP
ma-60	355	13	t	t	PROPN
ma-60	355	14	→∞	→∞	PROPN
ma-60	355	15	whose	whose	DET
ma-60	355	16	euler	euler	NOUN
ma-60	355	17	discretetization	discretetization	NOUN
ma-60	355	18	is	be	AUX
ma-60	355	19	θ̌n	θ̌n	PROPN
ma-60	355	20	,	,	PUNCT
ma-60	355	21	t,1	t,1	NUM
ma-60	355	22	.	.	PUNCT
ma-60	356	1	concluding	conclude	VERB
ma-60	356	2	remark	remark	NOUN
ma-60	356	3	it	it	PRON
ma-60	356	4	would	would	AUX
ma-60	356	5	be	be	AUX
ma-60	356	6	interesting	interesting	ADJ
ma-60	356	7	to	to	PART
ma-60	356	8	extend	extend	VERB
ma-60	356	9	the	the	DET
ma-60	356	10	results	result	NOUN
ma-60	356	11	of	of	ADP
ma-60	356	12	the	the	DET
ma-60	356	13	paper	paper	NOUN
ma-60	356	14	to	to	ADP
ma-60	356	15	diffusions	diffusion	NOUN
ma-60	356	16	drivenby	drivenby	PROPN
ma-60	356	17	persistent	persistent	ADJ
ma-60	356	18	fractional	fractional	ADJ
ma-60	356	19	brownian	brownian	ADJ
ma-60	356	20	motion	motion	NOUN
ma-60	356	21	which	which	PRON
ma-60	356	22	are	be	AUX
ma-60	356	23	neither	neither	PRON
ma-60	356	24	markov	markov	NOUN
ma-60	356	25	processes	process	NOUN
ma-60	356	26	nor	nor	CCONJ
ma-60	356	27	semimartingales	semimartingale	NOUN
ma-60	356	28	,	,	PUNCT
ma-60	356	29	but	but	CCONJ
ma-60	356	30	preserved	preserve	VERB
ma-60	356	31	long	long	ADJ
ma-60	356	32	memory	memory	NOUN
ma-60	356	33	property	property	NOUN
ma-60	356	34	of	of	ADP
ma-60	356	35	the	the	DET
ma-60	356	36	model	model	NOUN
ma-60	356	37	.	.	PUNCT
ma-60	357	1	references	reference	NOUN
ma-60	357	2	[	[	X
ma-60	357	3	1	1	NUM
ma-60	357	4	]	]	X
ma-60	357	5	r.	r.	PROPN
ma-60	357	6	belfadli	belfadli	PROPN
ma-60	357	7	,	,	PUNCT
ma-60	357	8	k.	k.	PROPN
ma-60	357	9	es	es	PROPN
ma-60	357	10	-	-	PUNCT
ma-60	357	11	sebaiy	sebaiy	NOUN
ma-60	357	12	and	and	CCONJ
ma-60	357	13	y.	y.	PROPN
ma-60	357	14	ouknine	ouknine	PROPN
ma-60	357	15	,	,	PUNCT
ma-60	357	16	parameter	parameter	NOUN
ma-60	357	17	estimation	estimation	NOUN
ma-60	357	18	for	for	ADP
ma-60	357	19	fractional	fractional	ADJ
ma-60	357	20	ornstein	ornstein	PROPN
ma-60	357	21	-	-	PUNCT
ma-60	357	22	uhlenbeck	uhlenbeck	PROPN
ma-60	357	23	processes	process	NOUN
ma-60	357	24	:	:	PUNCT
ma-60	357	25	non	non	ADJ
ma-60	357	26	-	-	ADJ
ma-60	357	27	ergodic	ergodic	ADJ
ma-60	357	28	case	case	NOUN
ma-60	357	29	,	,	PUNCT
ma-60	357	30	front	front	NOUN
ma-60	357	31	.	.	PUNCT
ma-60	358	1	sci	sci	PROPN
ma-60	358	2	.	.	PUNCT
ma-60	359	1	eng	eng	PROPN
ma-60	359	2	.	.	PROPN
ma-60	359	3	1	1	NUM
ma-60	359	4	(	(	PUNCT
ma-60	359	5	2011	2011	NUM
ma-60	359	6	)	)	PUNCT
ma-60	359	7	41	41	NUM
ma-60	359	8	-	-	SYM
ma-60	359	9	56	56	NUM
ma-60	359	10	.	.	PUNCT
ma-60	360	1	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1	PROPN
ma-60	360	2	.	.	PUNCT
ma-60	361	1	26873.[2	26873.[2	NUM
ma-60	361	2	]	]	PUNCT
ma-60	361	3	j.p.n	j.p.n	PROPN
ma-60	361	4	.	.	PROPN
ma-60	361	5	bishwal	bishwal	PROPN
ma-60	361	6	,	,	PUNCT
ma-60	361	7	parameter	parameter	NOUN
ma-60	361	8	estimation	estimation	NOUN
ma-60	361	9	in	in	ADP
ma-60	361	10	stochastic	stochastic	ADJ
ma-60	361	11	differential	differential	ADJ
ma-60	361	12	equations	equation	NOUN
ma-60	361	13	,	,	PUNCT
ma-60	361	14	springer	springer	NOUN
ma-60	361	15	berlin	berlin	PROPN
ma-60	361	16	heidelberg	heidelberg	PROPN
ma-60	361	17	,	,	PUNCT
ma-60	361	18	berlin	berlin	PROPN
ma-60	361	19	,	,	PUNCT
ma-60	361	20	hei	hei	PROPN
ma-60	361	21	-	-	PUNCT
ma-60	361	22	delberg	delberg	PROPN
ma-60	361	23	,	,	PUNCT
ma-60	361	24	2008	2008	NUM
ma-60	361	25	.	.	PUNCT
ma-60	362	1	https://doi.org/10.1007/978-3-540-74448-1.[3	https://doi.org/10.1007/978-3-540-74448-1.[3	NOUN
ma-60	362	2	]	]	X
ma-60	362	3	j.p.n	j.p.n	PROPN
ma-60	362	4	.	.	PROPN
ma-60	362	5	bishwal	bishwal	PROPN
ma-60	362	6	,	,	PUNCT
ma-60	362	7	berry	berry	NOUN
ma-60	362	8	–	–	PUNCT
ma-60	362	9	esseen	esseen	PROPN
ma-60	362	10	inequalities	inequality	NOUN
ma-60	362	11	for	for	ADP
ma-60	362	12	discretely	discretely	ADV
ma-60	362	13	observed	observe	VERB
ma-60	362	14	diffusions	diffusion	NOUN
ma-60	362	15	,	,	PUNCT
ma-60	362	16	monte	monte	PROPN
ma-60	362	17	carlo	carlo	PROPN
ma-60	362	18	methods	method	NOUN
ma-60	362	19	and	and	CCONJ
ma-60	362	20	applications.15	applications.15	PROPN
ma-60	362	21	(	(	PUNCT
ma-60	362	22	2009	2009	NUM
ma-60	362	23	)	)	PUNCT
ma-60	362	24	229	229	NUM
ma-60	362	25	-	-	SYM
ma-60	362	26	239	239	NUM
ma-60	362	27	.	.	PUNCT
ma-60	363	1	https://doi.org/10.1515/mcma.2009.013.[4	https://doi.org/10.1515/mcma.2009.013.[4	PROPN
ma-60	363	2	]	]	X
ma-60	363	3	j.p.n	j.p.n	PROPN
ma-60	363	4	.	.	PROPN
ma-60	363	5	bishwal	bishwal	PROPN
ma-60	363	6	,	,	PUNCT
ma-60	363	7	m	m	NOUN
ma-60	363	8	-	-	NOUN
ma-60	363	9	estimation	estimation	NOUN
ma-60	363	10	for	for	ADP
ma-60	363	11	discretely	discretely	ADV
ma-60	363	12	sampled	sample	VERB
ma-60	363	13	diffusions	diffusion	NOUN
ma-60	363	14	,	,	PUNCT
ma-60	363	15	theory	theory	NOUN
ma-60	363	16	stoch	stoch	NOUN
ma-60	363	17	.	.	PUNCT
ma-60	364	1	processes	process	NOUN
ma-60	364	2	,	,	PUNCT
ma-60	364	3	15	15	NUM
ma-60	364	4	(	(	PUNCT
ma-60	364	5	31	31	NUM
ma-60	364	6	)	)	PUNCT
ma-60	364	7	(	(	PUNCT
ma-60	364	8	2	2	NUM
ma-60	364	9	)	)	PUNCT
ma-60	364	10	(	(	PUNCT
ma-60	364	11	2009b	2009b	NUM
ma-60	364	12	)	)	PUNCT
ma-60	364	13	62	62	NUM
ma-60	364	14	-	-	SYM
ma-60	364	15	83	83	NUM
ma-60	364	16	.	.	PUNCT
ma-60	365	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PROPN
ma-60	365	2	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873	PROPN
ma-60	365	3	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873	VERB
ma-60	365	4	https://doi.org/10.1007/978-3-540-74448-1	https://doi.org/10.1007/978-3-540-74448-1	PROPN
ma-60	365	5	https://doi.org/10.1515/mcma.2009.013	https://doi.org/10.1515/mcma.2009.013	PROPN
ma-60	365	6	eur	eur	PROPN
ma-60	365	7	.	.	PUNCT
ma-60	366	1	j.	j.	PROPN
ma-60	366	2	math	math	PROPN
ma-60	366	3	.	.	PUNCT
ma-60	367	1	anal	anal	PROPN
ma-60	367	2	.	.	PUNCT
ma-60	368	1	10.28924	10.28924	NUM
ma-60	368	2	/	/	SYM
ma-60	368	3	ada	ada	PROPN
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ma-60	368	5	ma.2.7	ma.2.7	PROPN
ma-60	368	6	13	13	NUM
ma-60	369	1	[	[	X
ma-60	369	2	5	5	NUM
ma-60	369	3	]	]	PUNCT
ma-60	369	4	j.p.n	j.p.n	PROPN
ma-60	369	5	.	.	PROPN
ma-60	369	6	bishwal	bishwal	PROPN
ma-60	369	7	,	,	PUNCT
ma-60	369	8	uniform	uniform	ADJ
ma-60	369	9	rate	rate	NOUN
ma-60	369	10	of	of	ADP
ma-60	369	11	weak	weak	ADJ
ma-60	369	12	convergence	convergence	NOUN
ma-60	369	13	of	of	ADP
ma-60	369	14	the	the	DET
ma-60	369	15	minimum	minimum	ADJ
ma-60	369	16	contrast	contrast	NOUN
ma-60	369	17	estimator	estimator	NOUN
ma-60	369	18	in	in	ADP
ma-60	369	19	the	the	DET
ma-60	369	20	ornstein	ornstein	NOUN
ma-60	369	21	–	–	PUNCT
ma-60	369	22	uhlenbeckprocess	uhlenbeckprocess	NOUN
ma-60	369	23	,	,	PUNCT
ma-60	369	24	methodol	methodol	NOUN
ma-60	369	25	.	.	PUNCT
ma-60	370	1	comput	comput	PROPN
ma-60	370	2	.	.	PUNCT
ma-60	371	1	appl	appl	PROPN
ma-60	371	2	.	.	PUNCT
ma-60	372	1	probab	probab	PROPN
ma-60	372	2	.	.	PUNCT
ma-60	373	1	12	12	NUM
ma-60	373	2	(	(	PUNCT
ma-60	373	3	2010	2010	NUM
ma-60	373	4	)	)	PUNCT
ma-60	374	1	323–334	323–334	NUM
ma-60	374	2	.	.	PUNCT
ma-60	375	1	https://doi.org/10.1007/s11009-008-9099-x.[6	https://doi.org/10.1007/s11009-008-9099-x.[6	PROPN
ma-60	375	2	]	]	PUNCT
ma-60	375	3	j.p.n	j.p.n	PROPN
ma-60	375	4	.	.	PROPN
ma-60	375	5	bishwal	bishwal	PROPN
ma-60	375	6	,	,	PUNCT
ma-60	375	7	conditional	conditional	ADJ
ma-60	375	8	least	least	ADJ
ma-60	375	9	squares	square	NOUN
ma-60	375	10	estimation	estimation	NOUN
ma-60	375	11	in	in	ADP
ma-60	375	12	diffusion	diffusion	NOUN
ma-60	375	13	processes	process	NOUN
ma-60	375	14	based	base	VERB
ma-60	375	15	on	on	ADP
ma-60	375	16	poisson	poisson	NOUN
ma-60	375	17	sampling	sampling	NOUN
ma-60	375	18	,	,	PUNCT
ma-60	375	19	j.	j.	PROPN
ma-60	375	20	appl.probab	appl.probab	PROPN
ma-60	375	21	.	.	PUNCT
ma-60	375	22	stat	stat	PROPN
ma-60	375	23	.	.	PUNCT
ma-60	376	1	5	5	NUM
ma-60	376	2	(	(	PUNCT
ma-60	376	3	2	2	NUM
ma-60	376	4	)	)	PUNCT
ma-60	376	5	(	(	PUNCT
ma-60	376	6	2010b	2010b	NUM
ma-60	376	7	)	)	PUNCT
ma-60	376	8	169	169	NUM
ma-60	376	9	-	-	SYM
ma-60	376	10	180.[7	180.[7	NUM
ma-60	376	11	]	]	PUNCT
ma-60	376	12	j.p.n	j.p.n	PROPN
ma-60	376	13	.	.	PROPN
ma-60	376	14	bishwal	bishwal	PROPN
ma-60	376	15	,	,	PUNCT
ma-60	376	16	milstein	milstein	ADJ
ma-60	376	17	approximation	approximation	NOUN
ma-60	376	18	of	of	ADP
ma-60	376	19	posterior	posterior	ADJ
ma-60	376	20	density	density	NOUN
ma-60	376	21	of	of	ADP
ma-60	376	22	diffusions	diffusion	NOUN
ma-60	376	23	,	,	PUNCT
ma-60	376	24	int	int	NOUN
ma-60	376	25	.	.	PUNCT
ma-60	377	1	j.	j.	PROPN
ma-60	377	2	pure	pure	PROPN
ma-60	377	3	appl	appl	PROPN
ma-60	377	4	.	.	PUNCT
ma-60	377	5	math	math	NOUN
ma-60	377	6	.	.	PUNCT
ma-60	378	1	68	68	NUM
ma-60	378	2	(	(	PUNCT
ma-60	378	3	4	4	NUM
ma-60	378	4	)	)	PUNCT
ma-60	378	5	(	(	PUNCT
ma-60	378	6	2011a)403	2011a)403	NUM
ma-60	378	7	-	-	SYM
ma-60	378	8	414.[8	414.[8	PRON
ma-60	378	9	]	]	PUNCT
ma-60	378	10	j.p.n	j.p.n	PROPN
ma-60	378	11	.	.	PROPN
ma-60	378	12	bishwal	bishwal	NOUN
ma-60	378	13	,	,	PUNCT
ma-60	378	14	some	some	DET
ma-60	378	15	new	new	ADJ
ma-60	378	16	estimators	estimator	NOUN
ma-60	378	17	of	of	ADP
ma-60	378	18	integrated	integrated	ADJ
ma-60	378	19	volatility	volatility	NOUN
ma-60	378	20	,	,	PUNCT
ma-60	378	21	amer	amer	PROPN
ma-60	378	22	.	.	PROPN
ma-60	379	1	open	open	PROPN
ma-60	379	2	j.	j.	PROPN
ma-60	379	3	stat	stat	PROPN
ma-60	379	4	.	.	PUNCT
ma-60	380	1	1	1	NUM
ma-60	380	2	(	(	PUNCT
ma-60	380	3	2	2	NUM
ma-60	380	4	)	)	PUNCT
ma-60	380	5	(	(	PUNCT
ma-60	380	6	2011b	2011b	NUM
ma-60	380	7	)	)	PUNCT
ma-60	380	8	74	74	NUM
ma-60	380	9	-	-	SYM
ma-60	380	10	80.[9	80.[9	NUM
ma-60	380	11	]	]	PUNCT
ma-60	380	12	j.p.n	j.p.n	PROPN
ma-60	380	13	.	.	PROPN
ma-60	380	14	bishwal	bishwal	NOUN
ma-60	380	15	,	,	PUNCT
ma-60	380	16	stochastic	stochastic	ADJ
ma-60	380	17	moment	moment	NOUN
ma-60	380	18	problem	problem	NOUN
ma-60	380	19	and	and	CCONJ
ma-60	380	20	hedging	hedging	NOUN
ma-60	380	21	of	of	ADP
ma-60	380	22	generalized	generalized	ADJ
ma-60	380	23	black	black	ADJ
ma-60	380	24	–	–	PUNCT
ma-60	380	25	scholes	schole	NOUN
ma-60	380	26	options	option	NOUN
ma-60	380	27	,	,	PUNCT
ma-60	380	28	appl	appl	PROPN
ma-60	380	29	.	.	PUNCT
ma-60	381	1	numer	numer	PROPN
ma-60	381	2	.	.	PUNCT
ma-60	382	1	math.61	math.61	NOUN
ma-60	382	2	(	(	PUNCT
ma-60	382	3	2011	2011	NUM
ma-60	382	4	)	)	PUNCT
ma-60	382	5	1271–1280	1271–1280	NUM
ma-60	382	6	.	.	PUNCT
ma-60	383	1	https://doi.org/10.1016/j.apnum.2011.08.005.[10	https://doi.org/10.1016/j.apnum.2011.08.005.[10	X
ma-60	383	2	]	]	X
ma-60	383	3	j.p.n	j.p.n	PROPN
ma-60	383	4	.	.	PROPN
ma-60	383	5	bishwal	bishwal	PROPN
ma-60	383	6	,	,	PUNCT
ma-60	383	7	parameter	parameter	NOUN
ma-60	383	8	estimation	estimation	NOUN
ma-60	383	9	in	in	ADP
ma-60	383	10	stochastic	stochastic	ADJ
ma-60	383	11	volatility	volatility	NOUN
ma-60	383	12	models	model	NOUN
ma-60	383	13	,	,	PUNCT
ma-60	383	14	springer	springer	NOUN
ma-60	383	15	nature	nature	PROPN
ma-60	383	16	switzerland	switzerland	PROPN
ma-60	383	17	ag	ag	PROPN
ma-60	383	18	(	(	PUNCT
ma-60	383	19	forthcoming).(2021).[11	forthcoming).(2021).[11	PROPN
ma-60	383	20	]	]	PUNCT
ma-60	383	21	j.p.n	j.p.n	PROPN
ma-60	383	22	.	.	PROPN
ma-60	383	23	bishwal	bishwal	PROPN
ma-60	383	24	,	,	PUNCT
ma-60	383	25	a.	a.	PROPN
ma-60	383	26	bose	bose	PROPN
ma-60	383	27	,	,	PUNCT
ma-60	383	28	rates	rate	NOUN
ma-60	383	29	of	of	ADP
ma-60	383	30	convergence	convergence	NOUN
ma-60	383	31	of	of	ADP
ma-60	383	32	approximate	approximate	ADJ
ma-60	383	33	maximum	maximum	ADJ
ma-60	383	34	likelihood	likelihood	NOUN
ma-60	383	35	estimators	estimator	NOUN
ma-60	383	36	in	in	ADP
ma-60	383	37	the	the	DET
ma-60	383	38	ornstein	ornstein	PROPN
ma-60	383	39	-	-	PUNCT
ma-60	383	40	uhlenbeck	uhlenbeck	PROPN
ma-60	383	41	process	process	NOUN
ma-60	383	42	,	,	PUNCT
ma-60	383	43	computers	computer	NOUN
ma-60	383	44	math	math	NOUN
ma-60	383	45	.	.	PUNCT
ma-60	384	1	appl	appl	PROPN
ma-60	384	2	.	.	PUNCT
ma-60	385	1	42	42	NUM
ma-60	385	2	(	(	PUNCT
ma-60	385	3	2001	2001	NUM
ma-60	385	4	)	)	PUNCT
ma-60	385	5	23–38	23–38	NUM
ma-60	385	6	.	.	PUNCT
ma-60	386	1	https://doi.org/10.1016/s0898-1221(01	https://doi.org/10.1016/s0898-1221(01	PROPN
ma-60	386	2	)	)	PUNCT
ma-60	386	3	00127	00127	NUM
ma-60	386	4	-	-	SYM
ma-60	386	5	4.[12	4.[12	NUM
ma-60	386	6	]	]	X
ma-60	386	7	m.	m.	NOUN
ma-60	386	8	el	el	PROPN
ma-60	386	9	machkouri	machkouri	PROPN
ma-60	386	10	,	,	PUNCT
ma-60	386	11	k.	k.	PROPN
ma-60	386	12	es	es	PROPN
ma-60	386	13	-	-	PUNCT
ma-60	386	14	sebaiy	sebaiy	NOUN
ma-60	386	15	,	,	PUNCT
ma-60	386	16	y.	y.	PROPN
ma-60	386	17	ouknine	ouknine	ADJ
ma-60	386	18	,	,	PUNCT
ma-60	386	19	least	least	ADJ
ma-60	386	20	squares	square	NOUN
ma-60	386	21	estimator	estimator	NOUN
ma-60	386	22	for	for	ADP
ma-60	386	23	non	non	ADJ
ma-60	386	24	-	-	ADJ
ma-60	386	25	ergodic	ergodic	ADJ
ma-60	386	26	ornstein	ornstein	PROPN
ma-60	386	27	-	-	PUNCT
ma-60	386	28	uhlebeck	uhlebeck	PROPN
ma-60	386	29	processesdriven	processesdriven	VERB
ma-60	386	30	by	by	ADP
ma-60	386	31	gaussian	gaussian	ADJ
ma-60	386	32	processes	process	NOUN
ma-60	386	33	,	,	PUNCT
ma-60	386	34	j.	j.	PROPN
ma-60	386	35	korean	korean	PROPN
ma-60	386	36	stat	stat	PROPN
ma-60	386	37	.	.	PUNCT
ma-60	387	1	soc	soc	PROPN
ma-60	387	2	.	.	PUNCT
ma-60	388	1	45	45	NUM
ma-60	388	2	(	(	PUNCT
ma-60	388	3	2016	2016	NUM
ma-60	388	4	)	)	PUNCT
ma-60	388	5	329	329	NUM
ma-60	388	6	-	-	SYM
ma-60	388	7	341.[13	341.[13	NUM
ma-60	388	8	]	]	X
ma-60	388	9	d.	d.	PROPN
ma-60	388	10	florens	floren	NOUN
ma-60	388	11	-	-	PUNCT
ma-60	388	12	zmirou	zmirou	NOUN
ma-60	388	13	,	,	PUNCT
ma-60	388	14	approximate	approximate	ADJ
ma-60	388	15	discrete	discrete	ADJ
ma-60	388	16	-	-	PUNCT
ma-60	388	17	time	time	NOUN
ma-60	388	18	schemes	scheme	NOUN
ma-60	388	19	for	for	ADP
ma-60	388	20	statistics	statistic	NOUN
ma-60	388	21	of	of	ADP
ma-60	388	22	diffusion	diffusion	NOUN
ma-60	388	23	processes	process	NOUN
ma-60	388	24	,	,	PUNCT
ma-60	388	25	statistics	statistic	NOUN
ma-60	388	26	.	.	PUNCT
ma-60	389	1	20	20	NUM
ma-60	389	2	(	(	PUNCT
ma-60	389	3	1989)547–557	1989)547–557	NUM
ma-60	389	4	.	.	PUNCT
ma-60	390	1	https://doi.org/10.1080/02331888908802205.[14	https://doi.org/10.1080/02331888908802205.[14	PROPN
ma-60	390	2	]	]	X
ma-60	390	3	r.	r.	PROPN
ma-60	390	4	frydman	frydman	PROPN
ma-60	390	5	,	,	PUNCT
ma-60	390	6	a	a	DET
ma-60	390	7	proof	proof	NOUN
ma-60	390	8	of	of	ADP
ma-60	390	9	the	the	DET
ma-60	390	10	consistency	consistency	NOUN
ma-60	390	11	of	of	ADP
ma-60	390	12	maximum	maximum	ADJ
ma-60	390	13	likelihood	likelihood	NOUN
ma-60	390	14	estimators	estimator	NOUN
ma-60	390	15	of	of	ADP
ma-60	390	16	nonlinear	nonlinear	ADJ
ma-60	390	17	regression	regression	NOUN
ma-60	390	18	models	model	NOUN
ma-60	390	19	withautocorrelated	withautocorrelate	VERB
ma-60	390	20	errors	error	NOUN
ma-60	390	21	,	,	PUNCT
ma-60	390	22	econometrica	econometrica	PROPN
ma-60	390	23	.	.	PUNCT
ma-60	391	1	48	48	NUM
ma-60	391	2	(	(	PUNCT
ma-60	391	3	1980	1980	NUM
ma-60	391	4	)	)	PUNCT
ma-60	391	5	853	853	NUM
ma-60	391	6	-	-	SYM
ma-60	391	7	860	860	NUM
ma-60	391	8	.	.	PUNCT
ma-60	392	1	https://doi.org/10.2307/1912936.[15	https://doi.org/10.2307/1912936.[15	PROPN
ma-60	392	2	]	]	X
ma-60	392	3	e.	e.	PROPN
ma-60	392	4	gobet	gobet	PROPN
ma-60	392	5	,	,	PUNCT
ma-60	392	6	n.	n.	PROPN
ma-60	392	7	landon	landon	PROPN
ma-60	392	8	,	,	PUNCT
ma-60	392	9	almost	almost	ADV
ma-60	392	10	sure	sure	ADJ
ma-60	392	11	optimal	optimal	ADJ
ma-60	392	12	hedging	hedging	NOUN
ma-60	392	13	strategy	strategy	NOUN
ma-60	392	14	,	,	PUNCT
ma-60	392	15	ann	ann	PROPN
ma-60	392	16	.	.	PUNCT
ma-60	392	17	appl	appl	PROPN
ma-60	392	18	.	.	PUNCT
ma-60	393	1	probab	probab	PROPN
ma-60	393	2	.	.	PUNCT
ma-60	394	1	24	24	NUM
ma-60	394	2	(	(	PUNCT
ma-60	394	3	2014	2014	NUM
ma-60	394	4	)	)	PUNCT
ma-60	394	5	.	.	PUNCT
ma-60	395	1	https://doi.org/10	https://doi.org/10	PROPN
ma-60	395	2	.	.	PUNCT
ma-60	396	1	1214/13	1214/13	NUM
ma-60	396	2	-	-	PUNCT
ma-60	396	3	aap959.[16	aap959.[16	PROPN
ma-60	396	4	]	]	X
ma-60	396	5	n.	n.	PROPN
ma-60	396	6	ikeda	ikeda	PROPN
ma-60	396	7	,	,	PUNCT
ma-60	396	8	s.	s.	PROPN
ma-60	396	9	watanabe	watanabe	PROPN
ma-60	396	10	,	,	PUNCT
ma-60	396	11	stochastic	stochastic	ADJ
ma-60	396	12	differential	differential	ADJ
ma-60	396	13	equations	equation	NOUN
ma-60	396	14	and	and	CCONJ
ma-60	396	15	diffusion	diffusion	NOUN
ma-60	396	16	processes	process	NOUN
ma-60	396	17	,	,	PUNCT
ma-60	396	18	second	second	ADJ
ma-60	396	19	edition	edition	NOUN
ma-60	396	20	,	,	PUNCT
ma-60	396	21	north	north	NOUN
ma-60	396	22	-	-	PUNCT
ma-60	396	23	holland	holland	PROPN
ma-60	396	24	,	,	PUNCT
ma-60	396	25	amsterdam	amsterdam	PROPN
ma-60	396	26	(	(	PUNCT
ma-60	396	27	kodansha	kodansha	PROPN
ma-60	396	28	ltd	ltd	PROPN
ma-60	396	29	.	.	PROPN
ma-60	396	30	,	,	PUNCT
ma-60	396	31	tokyo	tokyo	PROPN
ma-60	396	32	)	)	PUNCT
ma-60	396	33	.	.	PUNCT
ma-60	397	1	(	(	PUNCT
ma-60	397	2	1989).[17	1989).[17	NUM
ma-60	397	3	]	]	X
ma-60	397	4	r.l	r.l	PROPN
ma-60	397	5	.	.	PROPN
ma-60	397	6	karandikar	karandikar	PROPN
ma-60	397	7	,	,	PUNCT
ma-60	397	8	on	on	ADP
ma-60	397	9	pathwise	pathwise	NOUN
ma-60	397	10	stochastic	stochastic	ADJ
ma-60	397	11	integration	integration	NOUN
ma-60	397	12	,	,	PUNCT
ma-60	397	13	stoch	stoch	NOUN
ma-60	397	14	.	.	PUNCT
ma-60	398	1	processes	process	VERB
ma-60	398	2	appl	appl	NOUN
ma-60	398	3	.	.	PUNCT
ma-60	399	1	57	57	NUM
ma-60	399	2	(	(	PUNCT
ma-60	399	3	1995	1995	NUM
ma-60	399	4	)	)	PUNCT
ma-60	399	5	11–18	11–18	NUM
ma-60	399	6	.	.	PUNCT
ma-60	400	1	https://doi.org/	https://doi.org/	PROPN
ma-60	400	2	10.1016/0304	10.1016/0304	NUM
ma-60	400	3	-	-	PUNCT
ma-60	400	4	4149(95)00002	4149(95)00002	NOUN
ma-60	400	5	-	-	PUNCT
ma-60	400	6	o.[18	o.[18	PROPN
ma-60	400	7	]	]	X
ma-60	400	8	r.a	r.a	PROPN
ma-60	400	9	.	.	PROPN
ma-60	400	10	kasonga	kasonga	PROPN
ma-60	400	11	,	,	PUNCT
ma-60	400	12	the	the	DET
ma-60	400	13	consistency	consistency	NOUN
ma-60	400	14	of	of	ADP
ma-60	400	15	a	a	DET
ma-60	400	16	non	non	ADJ
ma-60	400	17	-	-	ADJ
ma-60	400	18	linear	linear	ADJ
ma-60	400	19	least	least	ADJ
ma-60	400	20	squares	square	NOUN
ma-60	400	21	estimator	estimator	NOUN
ma-60	400	22	from	from	ADP
ma-60	400	23	diffusion	diffusion	NOUN
ma-60	400	24	processes	process	NOUN
ma-60	400	25	,	,	PUNCT
ma-60	400	26	stoch	stoch	NOUN
ma-60	400	27	.	.	PUNCT
ma-60	401	1	processesappl	processesappl	NOUN
ma-60	401	2	.	.	PUNCT
ma-60	402	1	30	30	NUM
ma-60	402	2	(	(	PUNCT
ma-60	402	3	1988	1988	NUM
ma-60	402	4	)	)	PUNCT
ma-60	402	5	263	263	NUM
ma-60	402	6	-	-	SYM
ma-60	402	7	275	275	NUM
ma-60	402	8	.	.	PUNCT
ma-60	403	1	https://doi.org/10.1016/0304-4149(88)90088-9.[19	https://doi.org/10.1016/0304-4149(88)90088-9.[19	NOUN
ma-60	403	2	]	]	X
ma-60	403	3	y.a	y.a	PROPN
ma-60	403	4	.	.	PROPN
ma-60	403	5	kutoyants	kutoyant	NOUN
ma-60	403	6	,	,	PUNCT
ma-60	403	7	statistical	statistical	ADJ
ma-60	403	8	inference	inference	NOUN
ma-60	403	9	for	for	ADP
ma-60	403	10	ergodic	ergodic	ADJ
ma-60	403	11	diffusion	diffusion	NOUN
ma-60	403	12	processes	process	NOUN
ma-60	403	13	,	,	PUNCT
ma-60	403	14	springer	springer	NOUN
ma-60	403	15	london	london	PROPN
ma-60	403	16	,	,	PUNCT
ma-60	403	17	london	london	PROPN
ma-60	403	18	,	,	PUNCT
ma-60	403	19	2004	2004	NUM
ma-60	403	20	.	.	PUNCT
ma-60	404	1	https://doi	https://doi	PROPN
ma-60	404	2	.	.	PUNCT
ma-60	404	3	org/10.1007/978	org/10.1007/978	PROPN
ma-60	404	4	-	-	PUNCT
ma-60	404	5	1	1	NUM
ma-60	404	6	-	-	PUNCT
ma-60	404	7	4471	4471	NUM
ma-60	404	8	-	-	PUNCT
ma-60	404	9	3866	3866	NUM
ma-60	404	10	-	-	PUNCT
ma-60	404	11	2.[20	2.[20	NUM
ma-60	404	12	]	]	X
ma-60	404	13	v.	v.	X
ma-60	404	14	lánska	lánska	PROPN
ma-60	404	15	,	,	PUNCT
ma-60	404	16	minimum	minimum	ADJ
ma-60	404	17	contrast	contrast	NOUN
ma-60	404	18	estimation	estimation	NOUN
ma-60	404	19	in	in	ADP
ma-60	404	20	diffusion	diffusion	NOUN
ma-60	404	21	processes	process	NOUN
ma-60	404	22	,	,	PUNCT
ma-60	404	23	j.	j.	PROPN
ma-60	404	24	appl	appl	PROPN
ma-60	404	25	.	.	PUNCT
ma-60	405	1	probab	probab	PROPN
ma-60	405	2	.	.	PUNCT
ma-60	406	1	16	16	NUM
ma-60	406	2	(	(	PUNCT
ma-60	406	3	1979	1979	NUM
ma-60	406	4	)	)	PUNCT
ma-60	406	5	65–75	65–75	NUM
ma-60	406	6	.	.	PUNCT
ma-60	407	1	https://doi	https://doi	X
ma-60	407	2	.	.	PUNCT
ma-60	408	1	org/10.2307/3213375.[21	org/10.2307/3213375.[21	PROPN
ma-60	408	2	]	]	X
ma-60	408	3	r.s	r.s	PROPN
ma-60	408	4	.	.	PROPN
ma-60	408	5	liptser	liptser	PROPN
ma-60	408	6	,	,	PUNCT
ma-60	408	7	a.n	a.n	PROPN
ma-60	408	8	.	.	PROPN
ma-60	408	9	shiryayev	shiryayev	PROPN
ma-60	408	10	,	,	PUNCT
ma-60	408	11	statistics	statistic	NOUN
ma-60	408	12	of	of	ADP
ma-60	408	13	random	random	ADJ
ma-60	408	14	processes	process	NOUN
ma-60	408	15	i	i	PRON
ma-60	408	16	:	:	PUNCT
ma-60	408	17	general	general	ADJ
ma-60	408	18	theory	theory	NOUN
ma-60	408	19	springer	springer	NOUN
ma-60	408	20	-	-	PUNCT
ma-60	408	21	verlag	verlag	PROPN
ma-60	408	22	,	,	PUNCT
ma-60	408	23	berlin	berlin	PROPN
ma-60	408	24	.	.	PUNCT
ma-60	409	1	(	(	PUNCT
ma-60	409	2	1977).[22	1977).[22	NUM
ma-60	409	3	]	]	X
ma-60	409	4	r.s	r.s	PROPN
ma-60	409	5	.	.	PROPN
ma-60	409	6	liptser	liptser	PROPN
ma-60	409	7	,	,	PUNCT
ma-60	409	8	a.n	a.n	PROPN
ma-60	409	9	.	.	PROPN
ma-60	409	10	shiryayev	shiryayev	PROPN
ma-60	409	11	,	,	PUNCT
ma-60	409	12	statistics	statistic	NOUN
ma-60	409	13	of	of	ADP
ma-60	409	14	random	random	ADJ
ma-60	409	15	processes	process	NOUN
ma-60	409	16	ii	ii	NOUN
ma-60	409	17	:	:	PUNCT
ma-60	409	18	applications	application	NOUN
ma-60	409	19	springer	springer	NOUN
ma-60	409	20	-	-	PUNCT
ma-60	409	21	verlag	verlag	PROPN
ma-60	409	22	,	,	PUNCT
ma-60	409	23	berlin	berlin	PROPN
ma-60	409	24	.	.	PUNCT
ma-60	410	1	(	(	PUNCT
ma-60	410	2	1978).[23	1978).[23	NUM
ma-60	410	3	]	]	X
ma-60	410	4	i.	i.	PROPN
ma-60	410	5	shoji	shoji	PROPN
ma-60	410	6	,	,	PUNCT
ma-60	410	7	a	a	DET
ma-60	410	8	note	note	NOUN
ma-60	410	9	on	on	ADP
ma-60	410	10	asymptotic	asymptotic	ADJ
ma-60	410	11	properties	property	NOUN
ma-60	410	12	of	of	ADP
ma-60	410	13	estimator	estimator	NOUN
ma-60	410	14	derived	derive	VERB
ma-60	410	15	from	from	ADP
ma-60	410	16	the	the	DET
ma-60	410	17	euler	euler	NOUN
ma-60	410	18	method	method	NOUN
ma-60	410	19	for	for	ADP
ma-60	410	20	diffusion	diffusion	NOUN
ma-60	410	21	processes	process	NOUN
ma-60	410	22	atdiscrete	atdiscrete	PROPN
ma-60	410	23	times	times	PROPN
ma-60	410	24	,	,	PUNCT
ma-60	410	25	stat	stat	PROPN
ma-60	410	26	.	.	PUNCT
ma-60	411	1	probab	probab	PROPN
ma-60	411	2	.	.	PUNCT
ma-60	412	1	lett	lett	PROPN
ma-60	412	2	.	.	PUNCT
ma-60	413	1	36	36	NUM
ma-60	413	2	(	(	PUNCT
ma-60	413	3	1997	1997	NUM
ma-60	413	4	)	)	PUNCT
ma-60	413	5	153	153	NUM
ma-60	413	6	-	-	SYM
ma-60	413	7	159	159	NUM
ma-60	413	8	.	.	PUNCT
ma-60	414	1	https://doi.org/10.1016/s0167-7152(97)00058-8.[24	https://doi.org/10.1016/s0167-7152(97)00058-8.[24	PROPN
ma-60	414	2	]	]	PUNCT
ma-60	414	3	n.	n.	PROPN
ma-60	414	4	yoshida	yoshida	PROPN
ma-60	414	5	,	,	PUNCT
ma-60	414	6	estimation	estimation	NOUN
ma-60	414	7	for	for	ADP
ma-60	414	8	diffusion	diffusion	NOUN
ma-60	414	9	processes	process	NOUN
ma-60	414	10	from	from	ADP
ma-60	414	11	discrete	discrete	ADJ
ma-60	414	12	observation	observation	NOUN
ma-60	414	13	,	,	PUNCT
ma-60	414	14	j.	j.	PROPN
ma-60	414	15	multivar	multivar	PROPN
ma-60	414	16	.	.	PUNCT
ma-60	415	1	anal	anal	PROPN
ma-60	415	2	.	.	PUNCT
ma-60	416	1	41	41	NUM
ma-60	416	2	(	(	PUNCT
ma-60	416	3	1992	1992	NUM
ma-60	416	4	)	)	PUNCT
ma-60	416	5	220–242	220–242	NUM
ma-60	416	6	.	.	PUNCT
ma-60	417	1	https://doi.org/10.1016/0047-259x(92)90068-q.[25	https://doi.org/10.1016/0047-259x(92)90068-q.[25	X
ma-60	417	2	]	]	X
ma-60	417	3	l.c	l.c	PROPN
ma-60	417	4	.	.	PROPN
ma-60	417	5	young	young	PROPN
ma-60	417	6	,	,	PUNCT
ma-60	417	7	an	an	DET
ma-60	417	8	inequality	inequality	NOUN
ma-60	417	9	of	of	ADP
ma-60	417	10	the	the	DET
ma-60	417	11	hölder	hölder	NOUN
ma-60	417	12	type	type	NOUN
ma-60	417	13	,	,	PUNCT
ma-60	417	14	connected	connect	VERB
ma-60	417	15	with	with	ADP
ma-60	417	16	stieltjes	stieltjes	PROPN
ma-60	417	17	integration	integration	NOUN
ma-60	417	18	,	,	PUNCT
ma-60	417	19	acta	acta	PROPN
ma-60	417	20	math	math	PROPN
ma-60	417	21	.	.	PUNCT
ma-60	418	1	67	67	NUM
ma-60	418	2	(	(	PUNCT
ma-60	418	3	1936	1936	NUM
ma-60	418	4	)	)	PUNCT
ma-60	418	5	251–282	251–282	NUM
ma-60	418	6	.	.	PUNCT
ma-60	419	1	https://doi.org/10.1007/bf02401743	https://doi.org/10.1007/bf02401743	X
ma-60	419	2	.	.	PUNCT
ma-60	420	1	https://doi.org/10.28924/ada/ma.2.7	https://doi.org/10.28924/ada/ma.2.7	PRON
ma-60	420	2	https://doi.org/10.1007/s11009-008-9099-x	https://doi.org/10.1007/s11009-008-9099-x	PROPN
ma-60	420	3	https://doi.org/10.1016/j.apnum.2011.08.005	https://doi.org/10.1016/j.apnum.2011.08.005	NOUN
ma-60	420	4	https://doi.org/10.1016/s0898-1221(01)00127-4	https://doi.org/10.1016/s0898-1221(01)00127-4	NOUN
ma-60	420	5	https://doi.org/10.1016/s0898-1221(01)00127-4	https://doi.org/10.1016/s0898-1221(01)00127-4	PROPN
ma-60	420	6	https://doi.org/10.1080/02331888908802205	https://doi.org/10.1080/02331888908802205	X
ma-60	420	7	https://doi.org/10.2307/1912936	https://doi.org/10.2307/1912936	X
ma-60	420	8	https://doi.org/10.1214/13-aap959	https://doi.org/10.1214/13-aap959	NOUN
ma-60	420	9	https://doi.org/10.1214/13-aap959	https://doi.org/10.1214/13-aap959	NOUN
ma-60	420	10	https://doi.org/10.1016/0304-4149(95)00002-o	https://doi.org/10.1016/0304-4149(95)00002-o	ADJ
ma-60	420	11	https://doi.org/10.1016/0304-4149(95)00002-o	https://doi.org/10.1016/0304-4149(95)00002-o	PROPN
ma-60	420	12	https://doi.org/10.1016/0304-4149(88)90088-9	https://doi.org/10.1016/0304-4149(88)90088-9	VERB
ma-60	420	13	https://doi.org/10.1007/978-1-4471-3866-2	https://doi.org/10.1007/978-1-4471-3866-2	VERB
ma-60	420	14	https://doi.org/10.1007/978-1-4471-3866-2	https://doi.org/10.1007/978-1-4471-3866-2	VERB
ma-60	420	15	https://doi.org/10.2307/3213375	https://doi.org/10.2307/3213375	PRON
ma-60	420	16	https://doi.org/10.2307/3213375	https://doi.org/10.2307/3213375	PRON
ma-60	420	17	https://doi.org/10.1016/s0167-7152(97)00058-8	https://doi.org/10.1016/s0167-7152(97)00058-8	NOUN
ma-60	421	1	https://doi.org/10.1016/0047-259x(92)90068-q	https://doi.org/10.1016/0047-259x(92)90068-q	PROPN
ma-60	421	2	https://doi.org/10.1007/bf02401743	https://doi.org/10.1007/bf02401743	PROPN
ma-60	421	3	references	reference	NOUN