id	sid	eid	entity	type
ma-60	1	1	2022	CARDINAL
ma-60	2	1	j. math	PERSON
ma-60	3	1	2 (	CARDINAL
ma-60	3	2	10.28924	CARDINAL
ma-60	3	3	university of north carolina	ORG
ma-60	3	4	charlotte	GPE
ma-60	3	5	376	CARDINAL
ma-60	3	6	fretwell bldg, 9201 university city blvd.	ORG
ma-60	3	7	charlotte	GPE
ma-60	3	8	nc	GPE
ma-60	7	1	weobtain convergence	PERSON
ma-60	9	1	1	CARDINAL
ma-60	9	2	a days	DATE
ma-60	9	3	2004	DATE
ma-60	9	4	2008	DATE
ma-60	9	5	2021).consider	DATE
ma-60	13	1	x0	ORG
ma-60	13	2	1.1	CARDINAL
ma-60	13	3	one	CARDINAL
ma-60	13	4	∈	ORG
ma-60	13	5	θ ×	ORG
ma-60	15	1	0	CARDINAL
ma-60	18	1	t n = h	ORG
ma-60	18	2	1	CARDINAL
ma-60	18	3	2	DATE
ma-60	20	1	0	CARDINAL
ma-60	23	1	xtn	PERSON
ma-60	24	1	5	CARDINAL
ma-60	24	2	2021	DATE
ma-60	26	1	monte carlo	PERSON
ma-60	27	1	1	CARDINAL
ma-60	28	1	j. math	PERSON
ma-60	30	1	10.28924	CARDINAL
ma-60	30	2	2model	CARDINAL
ma-60	30	3	1976	DATE
ma-60	30	4	t n → 0	ORG
ma-60	30	5	0.note	CARDINAL
ma-60	32	1	xti	ORG
ma-60	33	1	2	CARDINAL
ma-60	34	1	euler	PERSON
ma-60	34	2	1997	DATE
ma-60	35	1	ornstein	PERSON
ma-60	35	2	2001	DATE
ma-60	36	1	2010a	DATE
ma-60	37	1	bishwal	PERSON
ma-60	37	2	2009a	DATE
ma-60	38	1	bishwal	PERSON
ma-60	38	2	2009b	DATE
ma-60	39	1	mil-stein	ORG
ma-60	40	1	bishwal	ORG
ma-60	40	2	2010b	DATE
ma-60	41	1	bishwal	PERSON
ma-60	41	2	taylor	PERSON
ma-60	43	1	gobet	PERSON
ma-60	43	2	landon	GPE
ma-60	43	3	2014	DATE
ma-60	43	4	karandikar	PERSON
ma-60	43	5	1995	DATE
ma-60	44	1	bishwal	ORG
ma-60	44	2	2011c	DATE
ma-60	45	1	1989	DATE
ma-60	45	2	1.1	CARDINAL
ma-60	45	3	zti − zti−1	PERSON
ma-60	46	1	1	CARDINAL
ma-60	46	2	x0	ORG
ma-60	47	1	0 ≤	QUANTITY
ma-60	48	1	2	CARDINAL
ma-60	50	1	j. math	PERSON
ma-60	52	1	10.28924	CARDINAL
ma-60	52	2	3where	CARDINAL
ma-60	53	1	0 ≤	QUANTITY
ma-60	53	2	xti	ORG
ma-60	53	3	0 ≤	QUANTITY
ma-60	56	1	xti	ORG
ma-60	57	1	2	CARDINAL
ma-60	58	1	euler	PERSON
ma-60	58	2	1989	DATE
ma-60	58	3	t n → 0.if	ORG
ma-60	58	4	0	CARDINAL
ma-60	60	1	∫	ORG
ma-60	60	2	0	CARDINAL
ma-60	60	3	2(θ	CARDINAL
ma-60	60	4	1.2	CARDINAL
ma-60	60	5	shiryayev	ORG
ma-60	60	6	1977	DATE
ma-60	62	1	1.2	CARDINAL
ma-60	62	2	xti	ORG
ma-60	63	1	2	CARDINAL
ma-60	63	2	2(θ	CARDINAL
ma-60	64	1	1.3	CARDINAL
ma-60	64	2	max	PERSON
ma-60	65	1	yoshida	PERSON
ma-60	65	2	1992	DATE
ma-60	65	3	euler	PERSON
ma-60	65	4	shoji(1997)).in	GPE
ma-60	70	1	o	DATE
ma-60	71	1	1 2	CARDINAL
ma-60	71	2	∫	ORG
ma-60	73	1	ikeda	ORG
ma-60	73	2	watanabe (	ORG
ma-60	73	3	1989	DATE
ma-60	74	1	1.2	CARDINAL
ma-60	74	2	stratonovich integraland	ORG
ma-60	74	3	1 2	CARDINAL
ma-60	76	1	xti	ORG
ma-60	76	2	xti	ORG
ma-60	77	1	2	CARDINAL
ma-60	78	1	2(θ	CARDINAL
ma-60	79	1	1.4	CARDINAL
ma-60	80	1	j. math	PERSON
ma-60	82	1	10.28924	CARDINAL
ma-60	82	2	4	CARDINAL
ma-60	82	3	samle	ORG
ma-60	82	4	∼ln	LOC
ma-60	82	5	max	PERSON
ma-60	83	1	2009b).for	CARDINAL
ma-60	83	2	monte carlo	PERSON
ma-60	84	1	samle	ORG
ma-60	85	1	∆wi	GPE
ma-60	89	1	supposethat	PERSON
ma-60	89	2	∈	ORG
ma-60	93	1	φ	ORG
ma-60	94	1	16	CARDINAL
ma-60	95	1	ergodic	ORG
ma-60	98	1	t →∞	ORG
ma-60	98	2	0	CARDINAL
ma-60	98	3	16.(a4	CARDINAL
ma-60	98	4	x0)−	GPE
ma-60	98	5	x0)|2	PERSON
ma-60	98	6	t |ḟ	GPE
ma-60	98	7	xt)|2	ORG
ma-60	98	8	|f̈	TIME
ma-60	98	9	xt)|2	ORG
ma-60	98	10	2	CARDINAL
ma-60	98	11	samle	ORG
ma-60	99	1	2.1	CARDINAL
ma-60	99	2	1980	DATE
ma-60	100	1	d(θ	ORG
ma-60	100	2	θ ∈	ORG
ma-60	102	1	j. math	PERSON
ma-60	104	1	10.28924	CARDINAL
ma-60	104	2	5	CARDINAL
ma-60	104	3	c3) d(θ	ORG
ma-60	106	1	n →∞	ORG
ma-60	108	1	2.1	CARDINAL
ma-60	108	2	1 2	CARDINAL
ma-60	109	1	+ v(θ	PERSON
ma-60	109	2	xti	ORG
ma-60	110	1	∆wi	GPE
ma-60	110	2	2	CARDINAL
ma-60	113	1	xti	ORG
ma-60	114	1	t →∞	ORG
ma-60	114	2	0	CARDINAL
ma-60	117	1	l(θ	GPE
ma-60	117	2	v(θ	PERSON
ma-60	118	1	∈	ORG
ma-60	119	1	1 2	CARDINAL
ma-60	120	1	+ v(θ	PERSON
ma-60	120	2	xti	ORG
ma-60	121	1	∆wi	GPE
ma-60	121	2	2	CARDINAL
ma-60	123	1	xti	ORG
ma-60	124	1	1 2	CARDINAL
ma-60	127	1	2 ∞∑ m=1	QUANTITY
ma-60	130	1	m1+γc4	PERSON
ma-60	130	2	n(s	PERSON
ma-60	131	1	1 2	CARDINAL
ma-60	133	1	1	CARDINAL
ma-60	133	2	2	DATE
ma-60	134	1	1 2	CARDINAL
ma-60	137	1	∆wi	GPE
ma-60	137	2	n(s	GPE
ma-60	137	3	2	CARDINAL
ma-60	141	1	t o ȧm	DATE
ma-60	142	1	n(s	GPE
ma-60	143	1	1 2	CARDINAL
ma-60	143	2	∫	ORG
ma-60	143	3	0 am,n(s)dws	TIME
ma-60	145	1	j. math	PERSON
ma-60	147	1	10.28924	CARDINAL
ma-60	147	2	6by	ORDINAL
ma-60	147	3	2	CARDINAL
ma-60	147	4	0	CARDINAL
ma-60	148	1	1	CARDINAL
ma-60	149	1	2	CARDINAL
ma-60	149	2	t ∫ t o a2 m	ORG
ma-60	149	3	8	CARDINAL
ma-60	152	1	2	CARDINAL
ma-60	153	1	2	CARDINAL
ma-60	153	2	2 ≤	CARDINAL
ma-60	153	3	c2 m h	ORG
ma-60	155	1	2	CARDINAL
ma-60	156	1	xti	ORG
ma-60	156	2	2	CARDINAL
ma-60	156	3	2	CARDINAL
ma-60	157	1	2	CARDINAL
ma-60	158	1	xti	ORG
ma-60	158	2	2	CARDINAL
ma-60	158	3	0	CARDINAL
ma-60	159	1	2	CARDINAL
ma-60	160	1	2	CARDINAL
ma-60	161	1	xti	ORG
ma-60	161	2	2	CARDINAL
ma-60	162	1	0	CARDINAL
ma-60	162	2	1	CARDINAL
ma-60	162	3	2	DATE
ma-60	164	1	1.denote	CARDINAL
ma-60	164	2	1	CARDINAL
ma-60	164	3	tn ∫ tn	ORG
ma-60	164	4	0 am,n(s)dws	DATE
ma-60	167	1	1	CARDINAL
ma-60	167	2	1+γ 2	CARDINAL
ma-60	167	3	|zm	ORG
ma-60	167	4	1	CARDINAL
ma-60	167	5	2tδn	CARDINAL
ma-60	169	1	j. math	PERSON
ma-60	171	1	10.28924	CARDINAL
ma-60	171	2	1 t1−γ n	QUANTITY
ma-60	171	3	2tδn	CARDINAL
ma-60	171	4	2	CARDINAL
ma-60	172	1	1	CARDINAL
ma-60	172	2	2tδn	CARDINAL
ma-60	172	3	2	CARDINAL
ma-60	173	1	|zm	ORG
ma-60	173	2	1	CARDINAL
ma-60	173	3	2tδn	CARDINAL
ma-60	174	1	1 t1−γ n	QUANTITY
ma-60	174	2	2tδn	CARDINAL
ma-60	174	3	2	CARDINAL
ma-60	174	4	γ −	ORG
ma-60	175	1	0	CARDINAL
ma-60	176	1	2	CARDINAL
ma-60	176	2	n ∞∑ m=1 m−2b +	FAC
ma-60	176	3	2	CARDINAL
ma-60	177	1	borel-cantelli lemma	PERSON
ma-60	177	2	1	CARDINAL
ma-60	180	1	∆wi	GPE
ma-60	181	1	2tn	ORDINAL
ma-60	185	1	xti	ORG
ma-60	186	1	2	CARDINAL
ma-60	189	1	2.2	CARDINAL
ma-60	189	2	1	CARDINAL
ma-60	196	1	1	CARDINAL
ma-60	199	1	2m	QUANTITY
ma-60	199	2	gn(s)ds	PERSON
ma-60	201	1	j. math	PERSON
ma-60	203	1	10.28924	CARDINAL
ma-60	203	2	8	CARDINAL
ma-60	206	1	gn(s)ds	PERSON
ma-60	206	2	2m−1	CARDINAL
ma-60	206	3	0 |gn(s)|2mds	MONEY
ma-60	206	4	2m−1	CARDINAL
ma-60	213	1	2m(θ0)(e|c(x0)|4m)1/2	CARDINAL
ma-60	215	1	1975	DATE
ma-60	215	2	2m(θ0)(e|c(x0)|4m)1/2m1/2	CARDINAL
ma-60	216	1	2m(θ0)(e|c(x0)|4mm)1/2t−1	CARDINAL
ma-60	217	1	m+1	CARDINAL
ma-60	217	2	+ 1 ≤	QUANTITY
ma-60	218	1	+ 1	DATE
ma-60	218	2	4	CARDINAL
ma-60	218	3	chebyshev	ORG
ma-60	218	4	1	CARDINAL
ma-60	222	1	borel-cantelli lemma	PERSON
ma-60	223	1	2.3	CARDINAL
ma-60	224	1	1	CARDINAL
ma-60	226	1	x0)|2	PERSON
ma-60	226	2	tn → 0	ORG
ma-60	228	1	j. math	PERSON
ma-60	230	1	10.28924	CARDINAL
ma-60	230	2	9	CARDINAL
ma-60	231	1	1	CARDINAL
ma-60	232	1	a.s.	GPE
ma-60	233	1	1	CARDINAL
ma-60	234	1	2ds	CARDINAL
ma-60	234	2	− θ0|2 ∫	ORG
ma-60	235	1	0 |v(θ1	PERCENT
ma-60	236	1	2ds	CARDINAL
ma-60	237	1	1	CARDINAL
ma-60	238	1	2ds ∣∣∣∣ ≤	QUANTITY
ma-60	240	1	∈	ORG
ma-60	241	1	1	CARDINAL
ma-60	242	1	xs)|2ds	PERSON
ma-60	243	1	arzela-ascoli	PERSON
ma-60	244	1	g2 n(θ	PERSON
ma-60	246	1	2	CARDINAL
ma-60	247	1	2	CARDINAL
ma-60	248	1	xti	ORG
ma-60	248	2	2	CARDINAL
ma-60	250	1	1	CARDINAL
ma-60	250	2	1	CARDINAL
ma-60	254	1	2ds	CARDINAL
ma-60	258	1	2ds	CARDINAL
ma-60	262	1	i=1 ∫	GPE
ma-60	267	1	j. math	PERSON
ma-60	269	1	10.28924	CARDINAL
ma-60	269	2	10hölder	CARDINAL
ma-60	271	1	2m−1	CARDINAL
ma-60	275	1	n∑	NORP
ma-60	278	1	n∑	NORP
ma-60	279	1	2m−1n(t/n)m+1	TIME
ma-60	282	1	4	CARDINAL
ma-60	283	1	1	CARDINAL
ma-60	283	2	1	CARDINAL
ma-60	283	3	borel-cantelli	PERSON
ma-60	284	1	2.2	CARDINAL
ma-60	284	2	samle	ORG
ma-60	284	3	a.s.	GPE
ma-60	284	4	t →∞	ORG
ma-60	284	5	t n → 0	ORG
ma-60	286	1	v(θ	PERSON
ma-60	289	1	j. math	PERSON
ma-60	291	1	10.28924	CARDINAL
ma-60	292	1	1	CARDINAL
ma-60	293	1	1 2	CARDINAL
ma-60	295	1	xti	ORG
ma-60	295	2	xti	ORG
ma-60	296	1	1 2	CARDINAL
ma-60	298	1	xti	ORG
ma-60	298	2	xti	ORG
ma-60	299	1	1 2n	CARDINAL
ma-60	301	1	1 2n	CARDINAL
ma-60	302	1	2(θ	CARDINAL
ma-60	302	2	2(θ0	CARDINAL
ma-60	303	1	1 2	CARDINAL
ma-60	304	1	+ v(θ	PERSON
ma-60	304	2	xti	ORG
ma-60	305	1	∆wi	GPE
ma-60	308	1	1 2n	CARDINAL
ma-60	308	2	i=1 v2(θ	PERSON
ma-60	309	1	1	CARDINAL
ma-60	311	1	v(θ	PERSON
ma-60	314	1	1	CARDINAL
ma-60	315	1	[v(θ	PERSON
ma-60	315	2	xti	ORG
ma-60	316	1	xt)−	ORG
ma-60	316	2	v(θ0	ORG
ma-60	317	1	i1 −	PERSON
ma-60	317	2	− i4	ORG
ma-60	319	1	1	CARDINAL
ma-60	319	2	2.1-2.3	CARDINAL
ma-60	320	1	t →∞	ORG
ma-60	320	2	t n → 0	ORG
ma-60	321	1	d(θ	ORG
ma-60	322	1	1 2	CARDINAL
ma-60	322	2	x0)−	GPE
ma-60	322	3	0)|2.thus	CARDINAL
ma-60	322	4	2.1	CARDINAL
ma-60	323	1	d(θ	ORG
ma-60	323	2	conditions(c2	ORG
ma-60	324	1	2.1	CARDINAL
ma-60	326	1	j. math	PERSON
ma-60	328	1	10.28924	CARDINAL
ma-60	328	2	12 3	DATE
ma-60	328	3	x0	ORG
ma-60	328	4	0	CARDINAL
ma-60	329	1	euler	PERSON
ma-60	330	1	xti	ORG
ma-60	332	1	2	CARDINAL
ma-60	333	1	kasonga	GPE
ma-60	333	2	1988	DATE
ma-60	334	1	three	CARDINAL
ma-60	337	1	2	CARDINAL
ma-60	340	1	2	CARDINAL
ma-60	340	2	−t/2	GPE
ma-60	340	3	2	CARDINAL
ma-60	341	1	samle	ORG
ma-60	341	2	yamle	GPE
ma-60	341	3	amce	GPE
ma-60	341	4	mce	ORG
ma-60	344	1	t /2∫	ORG
ma-60	346	1	θt,3	CARDINAL
ma-60	350	1	1936	DATE
ma-60	351	1	belfadli et al	PERSON
ma-60	352	1	el machkouri	GPE
ma-60	353	1	2016	DATE
ma-60	353	2	theyamle θ̄n	PERSON
ma-60	353	3	euler	PERSON
ma-60	354	1	lanksa	PERSON
ma-60	354	2	1979	DATE
ma-60	354	3	θt,3	CARDINAL
ma-60	354	4	euler discretetization	PERSON
ma-60	354	5	t,3	GPE
ma-60	355	1	liptser	PERSON
ma-60	355	2	shiryayev	ORG
ma-60	355	3	1978)obtained	CARDINAL
ma-60	355	4	t →∞	ORG
ma-60	355	5	euler discretetization	PERSON
ma-60	355	6	t,1	DATE
ma-60	357	1	1	CARDINAL
ma-60	357	2	r. belfadli	PERSON
ma-60	357	3	k. es-sebaiy	PERSON
ma-60	358	1	sci	ORG
ma-60	359	1	eng	PERSON
ma-60	359	2	1 (2011	DATE
ma-60	359	3	41	CARDINAL
ma-60	361	1	26873.[2	CARDINAL
ma-60	361	2	bishwal	ORG
ma-60	361	3	springer berlin heidelberg	ORG
ma-60	361	4	berlin	GPE
ma-60	361	5	hei-delberg	PERSON
ma-60	361	6	2008	DATE
ma-60	362	1	bishwal	ORG
ma-60	362	2	monte carlo	PERSON
ma-60	362	3	2009	DATE
ma-60	362	4	229	CARDINAL
ma-60	363	1	bishwal	ORG
ma-60	363	2	stoch	GPE
ma-60	364	1	15	CARDINAL
ma-60	364	2	2	CARDINAL
ma-60	364	3	2009b	DATE
ma-60	364	4	62	CARDINAL
ma-60	365	1	https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873 https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873 https://doi.org/10.1007/978-3-540-74448-1 https://doi.org/10.1515/mcma.2009.013 eur	PERSON
ma-60	366	1	j. math	PERSON
ma-60	368	1	10.28924	CARDINAL
ma-60	368	2	13	CARDINAL
ma-60	369	1	5	CARDINAL
ma-60	369	2	bishwal	ORG
ma-60	369	3	ornstein	NORP
ma-60	369	4	methodol	PERSON
ma-60	370	1	comput	PERSON
ma-60	372	1	probab	PERSON
ma-60	373	1	12	CARDINAL
ma-60	373	2	2010	DATE
ma-60	374	1	323–334	CARDINAL
ma-60	375	1	bishwal	ORG
ma-60	375	2	j. appl.probab	PERSON
ma-60	376	1	5	CARDINAL
ma-60	376	2	2	CARDINAL
ma-60	376	3	2010b	DATE
ma-60	376	4	169	CARDINAL
ma-60	376	5	bishwal	ORG
ma-60	377	1	j. pure	PERSON
ma-60	378	1	68	CARDINAL
ma-60	378	2	4	CARDINAL
ma-60	378	3	2011a)403-414.[8	CARDINAL
ma-60	378	4	bishwal	ORG
ma-60	378	5	amer	PERSON
ma-60	379	1	j. stat	PERSON
ma-60	380	1	1 (	CARDINAL
ma-60	380	2	2	CARDINAL
ma-60	380	3	2011b	DATE
ma-60	380	4	74-80.[9	CARDINAL
ma-60	380	5	bishwal	ORG
ma-60	382	1	2011	DATE
ma-60	382	2	1271–1280	DATE
ma-60	383	1	https://doi.org/10.1016/j.apnum.2011.08.005.[10] j.p.n	ORG
ma-60	383	2	bishwal	ORG
ma-60	383	3	switzerland ag	ORG
ma-60	383	4	bishwal	GPE
ma-60	383	5	a. bose	PERSON
ma-60	385	1	42	CARDINAL
ma-60	385	2	2001	DATE
ma-60	385	3	23–38	CARDINAL
ma-60	386	1	00127-4.[12	CARDINAL
ma-60	386	2	m. el machkouri	PERSON
ma-60	386	3	k. es-sebaiy	PERSON
ma-60	386	4	non-ergodic ornstein	ORG
ma-60	386	5	j. korean	NORP
ma-60	388	1	45	CARDINAL
ma-60	388	2	2016	CARDINAL
ma-60	388	3	329	CARDINAL
ma-60	388	4	d.	NORP
ma-60	389	1	20	CARDINAL
ma-60	390	1	https://doi.org/10.1080/02331888908802205.[14	NORP
ma-60	390	2	r. frydman	PERSON
ma-60	390	3	econometrica	PERSON
ma-60	391	1	48	DATE
ma-60	391	2	1980	DATE
ma-60	391	3	853	CARDINAL
ma-60	392	1	e. gobet	PERSON
ma-60	392	2	n. landon	PERSON
ma-60	392	3	ann.	ORG
ma-60	393	1	probab	PERSON
ma-60	394	1	24 (2014	DATE
ma-60	396	1	1214/13	CARDINAL
ma-60	396	2	n. ikeda	PERSON
ma-60	396	3	s. watanabe	PERSON
ma-60	396	4	second	ORDINAL
ma-60	396	5	north-holland	NORP
ma-60	396	6	amsterdam	GPE
ma-60	396	7	kodansha ltd.	ORG
ma-60	396	8	tokyo	GPE
ma-60	397	1	1989).[17	CARDINAL
ma-60	397	2	karandikar	PERSON
ma-60	397	3	stoch	GPE
ma-60	399	1	57	CARDINAL
ma-60	399	2	1995	DATE
ma-60	400	1	10.1016/0304-4149(95)00002	DATE
ma-60	400	2	kasonga	PERSON
ma-60	400	3	stoch	GPE
ma-60	402	1	30	CARDINAL
ma-60	402	2	1988	DATE
ma-60	402	3	263	CARDINAL
ma-60	403	1	springer london	GPE
ma-60	403	2	london	GPE
ma-60	403	3	2004	DATE
ma-60	404	1	org/10.1007/978-1-4471	CARDINAL
ma-60	404	2	lánska	PERSON
ma-60	404	3	j. appl	ORG
ma-60	405	1	probab	PERSON
ma-60	406	1	16 (1979) 65–75	DATE
ma-60	408	1	liptser	PERSON
ma-60	408	2	a.n. shiryayev	PERSON
ma-60	408	3	berlin	GPE
ma-60	409	1	1977).[22	CARDINAL
ma-60	409	2	r.s. liptser	PERSON
ma-60	409	3	a.n. shiryayev	PERSON
ma-60	409	4	berlin	GPE
ma-60	410	1	1978).[23	CARDINAL
ma-60	410	2	i. shoji	PERSON
ma-60	411	1	probab	PERSON
ma-60	412	1	lett	PERSON
ma-60	413	1	36 (1997	DATE
ma-60	413	2	153	CARDINAL
ma-60	414	1	n. yoshida	PERSON
ma-60	414	2	j. multivar	ORG
ma-60	416	1	41	CARDINAL
ma-60	416	2	1992	DATE
ma-60	416	3	220–242	CARDINAL
ma-60	418	1	67	CARDINAL
ma-60	418	2	251–282	CARDINAL
ma-60	420	1	https://doi.org/10.28924/ada/ma.2.7 https://doi.org/10.1007/s11009-008-9099-x https://doi.org/10.1016/j.apnum.2011.08.005 https://doi.org/10.1016/s0898-1221(01)00127-4	TIME