id	sid	tid	token	lemma	pos
iajs-3927	1	1	307	307	NUM
iajs-3927	1	2	©	©	PROPN
iajs-3927	1	3	2025	2025	NUM
iajs-3927	1	4	the	the	DET
iajs-3927	1	5	author(s	author(s	NOUN
iajs-3927	1	6	)	)	PUNCT
iajs-3927	1	7	.	.	PUNCT
iajs-3927	2	1	published	publish	VERB
iajs-3927	2	2	by	by	ADP
iajs-3927	2	3	college	college	NOUN
iajs-3927	2	4	of	of	ADP
iajs-3927	2	5	education	education	NOUN
iajs-3927	2	6	for	for	ADP
iajs-3927	2	7	pure	pure	ADJ
iajs-3927	2	8	science	science	NOUN
iajs-3927	2	9	(	(	PUNCT
iajs-3927	2	10	ibn	ibn	PROPN
iajs-3927	2	11	al	al	PROPN
iajs-3927	2	12	-	-	PUNCT
iajs-3927	2	13	haitham	haitham	PROPN
iajs-3927	2	14	)	)	PUNCT
iajs-3927	2	15	,	,	PUNCT
iajs-3927	2	16	university	university	NOUN
iajs-3927	2	17	of	of	ADP
iajs-3927	2	18	baghdad	baghdad	PROPN
iajs-3927	2	19	.	.	PUNCT
iajs-3927	3	1	this	this	PRON
iajs-3927	3	2	is	be	AUX
iajs-3927	3	3	an	an	DET
iajs-3927	3	4	open	open	ADJ
iajs-3927	3	5	-	-	PUNCT
iajs-3927	3	6	access	access	NOUN
iajs-3927	3	7	article	article	NOUN
iajs-3927	3	8	distributed	distribute	VERB
iajs-3927	3	9	under	under	ADP
iajs-3927	3	10	the	the	DET
iajs-3927	3	11	terms	term	NOUN
iajs-3927	3	12	of	of	ADP
iajs-3927	3	13	the	the	DET
iajs-3927	3	14	creative	creative	ADJ
iajs-3927	3	15	commons	common	NOUN
iajs-3927	3	16	attribution	attribution	NOUN
iajs-3927	3	17	4.0	4.0	NUM
iajs-3927	3	18	international	international	ADJ
iajs-3927	3	19	license	license	NOUN
iajs-3927	3	20	autoregressive	autoregressive	ADJ
iajs-3927	3	21	models	model	NOUN
iajs-3927	3	22	estimation	estimation	NOUN
iajs-3927	3	23	selection	selection	NOUN
iajs-3927	3	24	with	with	ADP
iajs-3927	3	25	known	know	VERB
iajs-3927	3	26	marginal	marginal	ADJ
iajs-3927	3	27	distribution	distribution	NOUN
iajs-3927	3	28	israa	israa	NOUN
iajs-3927	3	29	amer	amer	NOUN
iajs-3927	3	30	flayyih	flayyih	NOUN
iajs-3927	3	31	1,2	1,2	NUM
iajs-3927	3	32	*	*	PUNCT
iajs-3927	3	33	and	and	CCONJ
iajs-3927	3	34	basad	basad	PROPN
iajs-3927	3	35	al	al	PROPN
iajs-3927	3	36	-	-	PUNCT
iajs-3927	3	37	sarray	sarray	PROPN
iajs-3927	3	38	3	3	NUM
iajs-3927	3	39	1	1	NUM
iajs-3927	3	40	department	department	NOUN
iajs-3927	3	41	of	of	ADP
iajs-3927	3	42	mathematics	mathematic	NOUN
iajs-3927	3	43	,	,	PUNCT
iajs-3927	3	44	college	college	NOUN
iajs-3927	3	45	of	of	ADP
iajs-3927	3	46	education	education	NOUN
iajs-3927	3	47	for	for	ADP
iajs-3927	3	48	pure	pure	ADJ
iajs-3927	3	49	sciences	science	NOUN
iajs-3927	3	50	(	(	PUNCT
iajs-3927	3	51	ibn	ibn	PROPN
iajs-3927	3	52	al	al	PROPN
iajs-3927	3	53	-	-	PUNCT
iajs-3927	3	54	haitham	haitham	PROPN
iajs-3927	3	55	)	)	PUNCT
iajs-3927	3	56	,	,	PUNCT
iajs-3927	3	57	university	university	NOUN
iajs-3927	3	58	of	of	ADP
iajs-3927	3	59	baghdad	baghdad	PROPN
iajs-3927	3	60	,	,	PUNCT
iajs-3927	3	61	baghdad	baghdad	PROPN
iajs-3927	3	62	,	,	PUNCT
iajs-3927	3	63	iraq	iraq	PROPN
iajs-3927	3	64	.	.	PUNCT
iajs-3927	4	1	2	2	NUM
iajs-3927	4	2	department	department	NOUN
iajs-3927	4	3	of	of	ADP
iajs-3927	4	4	mathematics	mathematic	NOUN
iajs-3927	4	5	,	,	PUNCT
iajs-3927	4	6	college	college	NOUN
iajs-3927	4	7	of	of	ADP
iajs-3927	4	8	basic	basic	ADJ
iajs-3927	4	9	education	education	NOUN
iajs-3927	4	10	,	,	PUNCT
iajs-3927	4	11	university	university	NOUN
iajs-3927	4	12	of	of	ADP
iajs-3927	4	13	diyala	diyala	PROPN
iajs-3927	4	14	,	,	PUNCT
iajs-3927	4	15	diyala	diyala	PROPN
iajs-3927	4	16	,	,	PUNCT
iajs-3927	4	17	iraq	iraq	PROPN
iajs-3927	4	18	.	.	PUNCT
iajs-3927	5	1	3	3	NUM
iajs-3927	5	2	department	department	NOUN
iajs-3927	5	3	of	of	ADP
iajs-3927	5	4	computer	computer	NOUN
iajs-3927	5	5	,	,	PUNCT
iajs-3927	5	6	college	college	NOUN
iajs-3927	5	7	of	of	ADP
iajs-3927	5	8	science	science	NOUN
iajs-3927	5	9	,	,	PUNCT
iajs-3927	5	10	university	university	NOUN
iajs-3927	5	11	of	of	ADP
iajs-3927	5	12	baghdad	baghdad	PROPN
iajs-3927	5	13	,	,	PUNCT
iajs-3927	5	14	baghdad	baghdad	PROPN
iajs-3927	5	15	,	,	PUNCT
iajs-3927	5	16	iraq	iraq	PROPN
iajs-3927	5	17	.	.	PUNCT
iajs-3927	6	1	*	*	PUNCT
iajs-3927	6	2	corresponding	correspond	VERB
iajs-3927	6	3	author	author	NOUN
iajs-3927	6	4	.	.	PUNCT
iajs-3927	7	1	received	receive	VERB
iajs-3927	7	2	:	:	PUNCT
iajs-3927	7	3	10	10	NUM
iajs-3927	7	4	february	february	NOUN
iajs-3927	7	5	2024	2024	NUM
iajs-3927	7	6	accepted	accept	VERB
iajs-3927	7	7	:	:	PUNCT
iajs-3927	7	8	22	22	NUM
iajs-3927	7	9	may	may	PROPN
iajs-3927	7	10	2024	2024	NUM
iajs-3927	7	11	published	publish	VERB
iajs-3927	7	12	:	:	PUNCT
iajs-3927	7	13	20	20	NUM
iajs-3927	7	14	october	october	NOUN
iajs-3927	7	15	2025	2025	NUM
iajs-3927	7	16	doi.org/10.30526/38.4.3927	doi.org/10.30526/38.4.3927	NOUN
iajs-3927	7	17	abstract	abstract	ADV
iajs-3927	7	18	a	a	DET
iajs-3927	7	19	time	time	NOUN
iajs-3927	7	20	series	series	NOUN
iajs-3927	7	21	is	be	AUX
iajs-3927	7	22	a	a	DET
iajs-3927	7	23	sequence	sequence	NOUN
iajs-3927	7	24	of	of	ADP
iajs-3927	7	25	observations	observation	NOUN
iajs-3927	7	26	recorded	record	VERB
iajs-3927	7	27	at	at	ADP
iajs-3927	7	28	regular	regular	ADJ
iajs-3927	7	29	intervals	interval	NOUN
iajs-3927	7	30	.	.	PUNCT
iajs-3927	8	1	time	time	NOUN
iajs-3927	8	2	series	series	PROPN
iajs-3927	8	3	analysis	analysis	NOUN
iajs-3927	8	4	has	have	VERB
iajs-3927	8	5	applications	application	NOUN
iajs-3927	8	6	in	in	ADP
iajs-3927	8	7	diverse	diverse	ADJ
iajs-3927	8	8	fields	field	NOUN
iajs-3927	8	9	such	such	ADJ
iajs-3927	8	10	as	as	ADP
iajs-3927	8	11	finance	finance	NOUN
iajs-3927	8	12	,	,	PUNCT
iajs-3927	8	13	stock	stock	NOUN
iajs-3927	8	14	prices	price	NOUN
iajs-3927	8	15	,	,	PUNCT
iajs-3927	8	16	economics	economic	NOUN
iajs-3927	8	17	,	,	PUNCT
iajs-3927	8	18	environmental	environmental	ADJ
iajs-3927	8	19	science	science	NOUN
iajs-3927	8	20	,	,	PUNCT
iajs-3927	8	21	and	and	CCONJ
iajs-3927	8	22	social	social	ADJ
iajs-3927	8	23	network	network	NOUN
iajs-3927	8	24	data	datum	NOUN
iajs-3927	8	25	analysis	analysis	NOUN
iajs-3927	8	26	.	.	PUNCT
iajs-3927	9	1	the	the	DET
iajs-3927	9	2	recorded	recorded	ADJ
iajs-3927	9	3	series	series	NOUN
iajs-3927	9	4	is	be	AUX
iajs-3927	9	5	used	use	VERB
iajs-3927	9	6	to	to	PART
iajs-3927	9	7	represent	represent	VERB
iajs-3927	9	8	a	a	DET
iajs-3927	9	9	measurable	measurable	ADJ
iajs-3927	9	10	quantity	quantity	NOUN
iajs-3927	9	11	or	or	CCONJ
iajs-3927	9	12	attribute	attribute	NOUN
iajs-3927	9	13	,	,	PUNCT
iajs-3927	9	14	such	such	ADJ
iajs-3927	9	15	as	as	ADP
iajs-3927	9	16	temperature	temperature	NOUN
iajs-3927	9	17	readings	reading	NOUN
iajs-3927	9	18	,	,	PUNCT
iajs-3927	9	19	economic	economic	ADJ
iajs-3927	9	20	indicators	indicator	NOUN
iajs-3927	9	21	,	,	PUNCT
iajs-3927	9	22	or	or	CCONJ
iajs-3927	9	23	other	other	ADJ
iajs-3927	9	24	variables	variable	NOUN
iajs-3927	9	25	,	,	PUNCT
iajs-3927	9	26	depending	depend	VERB
iajs-3927	9	27	on	on	ADP
iajs-3927	9	28	the	the	DET
iajs-3927	9	29	context	context	NOUN
iajs-3927	9	30	of	of	ADP
iajs-3927	9	31	the	the	DET
iajs-3927	9	32	analysis	analysis	NOUN
iajs-3927	9	33	.	.	PUNCT
iajs-3927	10	1	the	the	DET
iajs-3927	10	2	idea	idea	NOUN
iajs-3927	10	3	of	of	ADP
iajs-3927	10	4	time	time	NOUN
iajs-3927	10	5	series	series	NOUN
iajs-3927	10	6	analysis	analysis	NOUN
iajs-3927	10	7	is	be	AUX
iajs-3927	10	8	to	to	PART
iajs-3927	10	9	identify	identify	VERB
iajs-3927	10	10	patterns	pattern	NOUN
iajs-3927	10	11	,	,	PUNCT
iajs-3927	10	12	trends	trend	NOUN
iajs-3927	10	13	,	,	PUNCT
iajs-3927	10	14	or	or	CCONJ
iajs-3927	10	15	underlying	underlie	VERB
iajs-3927	10	16	structures	structure	NOUN
iajs-3927	10	17	within	within	ADP
iajs-3927	10	18	the	the	DET
iajs-3927	10	19	data	datum	NOUN
iajs-3927	10	20	,	,	PUNCT
iajs-3927	10	21	as	as	ADV
iajs-3927	10	22	well	well	ADV
iajs-3927	10	23	as	as	ADP
iajs-3927	10	24	to	to	PART
iajs-3927	10	25	make	make	VERB
iajs-3927	10	26	predictions	prediction	NOUN
iajs-3927	10	27	or	or	CCONJ
iajs-3927	10	28	forecasts	forecast	NOUN
iajs-3927	10	29	about	about	ADP
iajs-3927	10	30	future	future	ADJ
iajs-3927	10	31	values	value	NOUN
iajs-3927	10	32	based	base	VERB
iajs-3927	10	33	on	on	ADP
iajs-3927	10	34	previous	previous	ADJ
iajs-3927	10	35	observations	observation	NOUN
iajs-3927	10	36	.	.	PUNCT
iajs-3927	11	1	autoregressive	autoregressive	ADJ
iajs-3927	11	2	(	(	PUNCT
iajs-3927	11	3	ar	ar	NOUN
iajs-3927	11	4	)	)	PUNCT
iajs-3927	11	5	models	model	NOUN
iajs-3927	11	6	are	be	AUX
iajs-3927	11	7	widely	widely	ADV
iajs-3927	11	8	used	use	VERB
iajs-3927	11	9	in	in	ADP
iajs-3927	11	10	modeling	modeling	NOUN
iajs-3927	11	11	and	and	CCONJ
iajs-3927	11	12	forecasting	forecasting	NOUN
iajs-3927	11	13	data	datum	NOUN
iajs-3927	11	14	from	from	ADP
iajs-3927	11	15	time	time	NOUN
iajs-3927	11	16	series	series	PROPN
iajs-3927	11	17	.	.	PUNCT
iajs-3927	12	1	this	this	DET
iajs-3927	12	2	work	work	NOUN
iajs-3927	12	3	focuses	focus	VERB
iajs-3927	12	4	on	on	ADP
iajs-3927	12	5	ar	ar	PROPN
iajs-3927	12	6	model	model	PROPN
iajs-3927	12	7	parameter	parameter	PROPN
iajs-3927	12	8	estimation	estimation	PROPN
iajs-3927	12	9	,	,	PUNCT
iajs-3927	12	10	emphasizing	emphasize	VERB
iajs-3927	12	11	the	the	DET
iajs-3927	12	12	significance	significance	NOUN
iajs-3927	12	13	of	of	ADP
iajs-3927	12	14	the	the	DET
iajs-3927	12	15	likelihood	likelihood	NOUN
iajs-3927	12	16	function	function	NOUN
iajs-3927	12	17	by	by	ADP
iajs-3927	12	18	defining	define	VERB
iajs-3927	12	19	the	the	DET
iajs-3927	12	20	marginal	marginal	ADJ
iajs-3927	12	21	distribution	distribution	NOUN
iajs-3927	12	22	of	of	ADP
iajs-3927	12	23	the	the	DET
iajs-3927	12	24	ar	ar	NOUN
iajs-3927	12	25	process	process	NOUN
iajs-3927	12	26	,	,	PUNCT
iajs-3927	12	27	which	which	PRON
iajs-3927	12	28	is	be	AUX
iajs-3927	12	29	getting	get	VERB
iajs-3927	12	30	by	by	ADP
iajs-3927	12	31	representing	represent	VERB
iajs-3927	12	32	the	the	DET
iajs-3927	12	33	ar	ar	NOUN
iajs-3927	12	34	process	process	NOUN
iajs-3927	12	35	with	with	ADP
iajs-3927	12	36	random	random	ADJ
iajs-3927	12	37	shocks	shock	NOUN
iajs-3927	12	38	and	and	CCONJ
iajs-3927	12	39	assuming	assume	VERB
iajs-3927	12	40	the	the	DET
iajs-3927	12	41	error	error	NOUN
iajs-3927	12	42	terms	term	NOUN
iajs-3927	12	43	in	in	ADP
iajs-3927	12	44	a	a	DET
iajs-3927	12	45	time	time	NOUN
iajs-3927	12	46	series	series	NOUN
iajs-3927	12	47	have	have	VERB
iajs-3927	12	48	a	a	DET
iajs-3927	12	49	normal	normal	ADJ
iajs-3927	12	50	distribution	distribution	NOUN
iajs-3927	12	51	with	with	ADP
iajs-3927	12	52	a	a	DET
iajs-3927	12	53	zero	zero	NUM
iajs-3927	12	54	mean	mean	NOUN
iajs-3927	12	55	and	and	CCONJ
iajs-3927	12	56	variance	variance	NOUN
iajs-3927	12	57	.	.	PUNCT
iajs-3927	13	1	some	some	PRON
iajs-3927	13	2	of	of	ADP
iajs-3927	13	3	the	the	DET
iajs-3927	13	4	simulated	simulate	VERB
iajs-3927	13	5	experiments	experiment	NOUN
iajs-3927	13	6	are	be	AUX
iajs-3927	13	7	designed	design	VERB
iajs-3927	13	8	to	to	PART
iajs-3927	13	9	fit	fit	VERB
iajs-3927	13	10	the	the	DET
iajs-3927	13	11	model	model	NOUN
iajs-3927	13	12	for	for	ADP
iajs-3927	13	13	different	different	ADJ
iajs-3927	13	14	model	model	NOUN
iajs-3927	13	15	orders	order	NOUN
iajs-3927	13	16	and	and	CCONJ
iajs-3927	13	17	sample	sample	NOUN
iajs-3927	13	18	size	size	NOUN
iajs-3927	13	19	to	to	PART
iajs-3927	13	20	find	find	VERB
iajs-3927	13	21	model	model	NOUN
iajs-3927	13	22	parameter	parameter	NOUN
iajs-3927	13	23	estimation	estimation	NOUN
iajs-3927	13	24	by	by	ADP
iajs-3927	13	25	likelihood	likelihood	NOUN
iajs-3927	13	26	function	function	NOUN
iajs-3927	13	27	with	with	ADP
iajs-3927	13	28	marginal	marginal	ADJ
iajs-3927	13	29	distribution	distribution	NOUN
iajs-3927	13	30	.	.	PUNCT
iajs-3927	14	1	the	the	DET
iajs-3927	14	2	results	result	NOUN
iajs-3927	14	3	of	of	ADP
iajs-3927	14	4	mean	mean	ADJ
iajs-3927	14	5	squares	square	NOUN
iajs-3927	14	6	errors	error	NOUN
iajs-3927	14	7	(	(	PUNCT
iajs-3927	14	8	mse	mse	NOUN
iajs-3927	14	9	)	)	PUNCT
iajs-3927	14	10	and	and	CCONJ
iajs-3927	14	11	mean	mean	VERB
iajs-3927	14	12	percentage	percentage	NOUN
iajs-3927	14	13	errors	error	NOUN
iajs-3927	14	14	(	(	PUNCT
iajs-3927	14	15	mpe	mpe	X
iajs-3927	14	16	)	)	PUNCT
iajs-3927	14	17	indicate	indicate	VERB
iajs-3927	14	18	the	the	DET
iajs-3927	14	19	significance	significance	NOUN
iajs-3927	14	20	and	and	CCONJ
iajs-3927	14	21	robust	robust	ADJ
iajs-3927	14	22	estimation	estimation	NOUN
iajs-3927	14	23	of	of	ADP
iajs-3927	14	24	the	the	DET
iajs-3927	14	25	ar	ar	PROPN
iajs-3927	14	26	–	–	PUNCT
iajs-3927	14	27	models	model	NOUN
iajs-3927	14	28	parameters	parameter	NOUN
iajs-3927	14	29	estimators	estimator	NOUN
iajs-3927	14	30	that	that	PRON
iajs-3927	14	31	are	be	AUX
iajs-3927	14	32	computed	compute	VERB
iajs-3927	14	33	theoretically	theoretically	ADV
iajs-3927	14	34	.	.	PUNCT
iajs-3927	15	1	keywords	keyword	NOUN
iajs-3927	15	2	:	:	PUNCT
iajs-3927	15	3	autoregressive	autoregressive	ADJ
iajs-3927	15	4	time	time	NOUN
iajs-3927	15	5	series	series	NOUN
iajs-3927	15	6	models	model	NOUN
iajs-3927	15	7	,	,	PUNCT
iajs-3927	15	8	marginal	marginal	ADJ
iajs-3927	15	9	distribution	distribution	NOUN
iajs-3927	15	10	of	of	ADP
iajs-3927	15	11	time	time	NOUN
iajs-3927	15	12	series	series	NOUN
iajs-3927	15	13	,	,	PUNCT
iajs-3927	15	14	maximum	maximum	ADJ
iajs-3927	15	15	likelihood	likelihood	NOUN
iajs-3927	15	16	estimation	estimation	NOUN
iajs-3927	15	17	.	.	PUNCT
iajs-3927	16	1	1	1	X
iajs-3927	16	2	.	.	X
iajs-3927	16	3	introduction	introduction	NOUN
iajs-3927	16	4	a	a	DET
iajs-3927	16	5	time	time	NOUN
iajs-3927	16	6	series	series	NOUN
iajs-3927	16	7	is	be	AUX
iajs-3927	16	8	a	a	DET
iajs-3927	16	9	collection	collection	NOUN
iajs-3927	16	10	of	of	ADP
iajs-3927	16	11	data	datum	NOUN
iajs-3927	16	12	points	point	NOUN
iajs-3927	16	13	produced	produce	VERB
iajs-3927	16	14	successively	successively	ADV
iajs-3927	16	15	over	over	ADP
iajs-3927	16	16	time	time	NOUN
iajs-3927	16	17	.	.	PUNCT
iajs-3927	17	1	if	if	SCONJ
iajs-3927	17	2	the	the	DET
iajs-3927	17	3	set	set	NOUN
iajs-3927	17	4	is	be	AUX
iajs-3927	17	5	continuous	continuous	ADJ
iajs-3927	17	6	,	,	PUNCT
iajs-3927	17	7	the	the	DET
iajs-3927	17	8	time	time	NOUN
iajs-3927	17	9	series	series	NOUN
iajs-3927	17	10	is	be	AUX
iajs-3927	17	11	considered	consider	VERB
iajs-3927	17	12	continuous	continuous	ADJ
iajs-3927	17	13	and	and	CCONJ
iajs-3927	17	14	discrete	discrete	ADJ
iajs-3927	17	15	if	if	SCONJ
iajs-3927	17	16	the	the	DET
iajs-3927	17	17	set	set	NOUN
iajs-3927	17	18	it	it	PRON
iajs-3927	17	19	belongs	belong	VERB
iajs-3927	17	20	to	to	PART
iajs-3927	17	21	is	be	AUX
iajs-3927	17	22	also	also	ADV
iajs-3927	17	23	discrete	discrete	ADJ
iajs-3927	17	24	(	(	PUNCT
iajs-3927	17	25	1	1	NUM
iajs-3927	17	26	)	)	PUNCT
iajs-3927	17	27	.	.	PUNCT
iajs-3927	18	1	in	in	ADP
iajs-3927	18	2	the	the	DET
iajs-3927	18	3	early	early	ADJ
iajs-3927	18	4	century	century	NOUN
iajs-3927	18	5	,	,	PUNCT
iajs-3927	18	6	time	time	NOUN
iajs-3927	18	7	series	series	PROPN
iajs-3927	18	8	analysis	analysis	NOUN
iajs-3927	18	9	heavily	heavily	ADV
iajs-3927	18	10	relied	rely	VERB
iajs-3927	18	11	on	on	ADP
iajs-3927	18	12	an	an	DET
iajs-3927	18	13	autoregressive	autoregressive	ADJ
iajs-3927	18	14	model	model	NOUN
iajs-3927	18	15	,	,	PUNCT
iajs-3927	18	16	as	as	SCONJ
iajs-3927	18	17	researched	research	VERB
iajs-3927	18	18	by	by	ADP
iajs-3927	18	19	yule	yule	NOUN
iajs-3927	18	20	in	in	ADP
iajs-3927	18	21	1927	1927	NUM
iajs-3927	18	22	(	(	PUNCT
iajs-3927	18	23	1	1	NUM
iajs-3927	18	24	)	)	PUNCT
iajs-3927	18	25	.	.	PUNCT
iajs-3927	19	1	the	the	DET
iajs-3927	19	2	autoregressive	autoregressive	ADJ
iajs-3927	19	3	model	model	NOUN
iajs-3927	19	4	utilized	utilize	VERB
iajs-3927	19	5	regression	regression	NOUN
iajs-3927	19	6	analysis	analysis	NOUN
iajs-3927	19	7	to	to	PART
iajs-3927	19	8	estimate	estimate	VERB
iajs-3927	19	9	the	the	DET
iajs-3927	19	10	values	value	NOUN
iajs-3927	19	11	of	of	ADP
iajs-3927	19	12	the	the	DET
iajs-3927	19	13	series	series	NOUN
iajs-3927	19	14	at	at	ADP
iajs-3927	19	15	a	a	DET
iajs-3927	19	16	particular	particular	ADJ
iajs-3927	19	17	time	time	NOUN
iajs-3927	19	18	by	by	ADP
iajs-3927	19	19	applying	apply	VERB
iajs-3927	19	20	a	a	DET
iajs-3927	19	21	linear	linear	ADJ
iajs-3927	19	22	function	function	NOUN
iajs-3927	19	23	of	of	ADP
iajs-3927	19	24	past	past	ADJ
iajs-3927	19	25	values	value	NOUN
iajs-3927	19	26	(	(	PUNCT
iajs-3927	19	27	2	2	NUM
iajs-3927	19	28	)	)	PUNCT
iajs-3927	19	29	.	.	PUNCT
iajs-3927	20	1	time	time	NOUN
iajs-3927	20	2	series	series	PROPN
iajs-3927	20	3	analysis	analysis	NOUN
iajs-3927	20	4	employs	employ	VERB
iajs-3927	20	5	this	this	DET
iajs-3927	20	6	model	model	NOUN
iajs-3927	20	7	to	to	PART
iajs-3927	20	8	illustrate	illustrate	VERB
iajs-3927	20	9	the	the	DET
iajs-3927	20	10	relationship	relationship	NOUN
iajs-3927	20	11	among	among	ADP
iajs-3927	20	12	time	time	NOUN
iajs-3927	20	13	series	series	PROPN
iajs-3927	20	14	data	data	PROPN
iajs-3927	20	15	;	;	PUNCT
iajs-3927	20	16	refer	refer	VERB
iajs-3927	20	17	to	to	ADP
iajs-3927	20	18	(	(	PUNCT
iajs-3927	20	19	2	2	NUM
iajs-3927	20	20	)	)	PUNCT
iajs-3927	20	21	for	for	ADP
iajs-3927	20	22	further	further	ADJ
iajs-3927	20	23	details	detail	NOUN
iajs-3927	20	24	.	.	PUNCT
iajs-3927	21	1	https://orcid.org/0009-0006-0718-2902	https://orcid.org/0009-0006-0718-2902	PROPN
iajs-3927	21	2	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3927	22	1	https://orcid.org/0000-0003-2419-0710	https://orcid.org/0000-0003-2419-0710	PROPN
iajs-3927	22	2	mailto:basad.a.alsarray@gmail.com	mailto:basad.a.alsarray@gmail.com	PROPN
iajs-3927	23	1	https://orcid.org/0009-0006-0718-2902	https://orcid.org/0009-0006-0718-2902	PROPN
iajs-3927	23	2	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3927	23	3	https://orcid.org/0000-0003-2419-0710	https://orcid.org/0000-0003-2419-0710	PROPN
iajs-3927	23	4	mailto:basad.a.alsarray@gmail.com	mailto:basad.a.alsarray@gmail.com	PROPN
iajs-3927	24	1	https://orcid.org/0009-0006-0718-2902	https://orcid.org/0009-0006-0718-2902	PROPN
iajs-3927	24	2	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3927	24	3	https://orcid.org/0000-0003-2419-0710	https://orcid.org/0000-0003-2419-0710	PROPN
iajs-3927	24	4	mailto:basad.a.alsarray@gmail.com	mailto:basad.a.alsarray@gmail.com	PROPN
iajs-3927	25	1	https://orcid.org/0009-0006-0718-2902	https://orcid.org/0009-0006-0718-2902	PROPN
iajs-3927	25	2	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3927	25	3	https://orcid.org/0000-0003-2419-0710	https://orcid.org/0000-0003-2419-0710	PROPN
iajs-3927	25	4	mailto:basad.a.alsarray@gmail.com	mailto:basad.a.alsarray@gmail.com	PROPN
iajs-3927	26	1	https://orcid.org/0009-0006-0718-2902	https://orcid.org/0009-0006-0718-2902	PROPN
iajs-3927	26	2	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3927	26	3	https://orcid.org/0000-0003-2419-0710	https://orcid.org/0000-0003-2419-0710	PROPN
iajs-3927	26	4	mailto:basad.a.alsarray@gmail.com	mailto:basad.a.alsarray@gmail.com	PROPN
iajs-3927	27	1	https://orcid.org/0009-0006-0718-2902	https://orcid.org/0009-0006-0718-2902	PROPN
iajs-3927	27	2	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	mailto:israa.aamer2103@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3927	28	1	https://orcid.org/0000-0003-2419-0710	https://orcid.org/0000-0003-2419-0710	PROPN
iajs-3927	28	2	mailto:basad.a.alsarray@gmail.com	mailto:basad.a.alsarray@gmail.com	PROPN
iajs-3927	28	3	ihjpas	ihjpas	PROPN
iajs-3927	28	4	.	.	PUNCT
iajs-3927	29	1	2025,38(4	2025,38(4	NOUN
iajs-3927	29	2	)	)	PUNCT
iajs-3927	29	3	308	308	NUM
iajs-3927	29	4	generalized	generalize	VERB
iajs-3927	29	5	autoregressive	autoregressive	ADJ
iajs-3927	29	6	(	(	PUNCT
iajs-3927	29	7	gas	gas	NOUN
iajs-3927	29	8	)	)	PUNCT
iajs-3927	29	9	models	model	NOUN
iajs-3927	29	10	are	be	AUX
iajs-3927	29	11	a	a	DET
iajs-3927	29	12	type	type	NOUN
iajs-3927	29	13	of	of	ADP
iajs-3927	29	14	observational	observational	ADJ
iajs-3927	29	15	time	time	NOUN
iajs-3927	29	16	series	series	PROPN
iajs-3927	29	17	model	model	NOUN
iajs-3927	29	18	that	that	PRON
iajs-3927	29	19	is	be	AUX
iajs-3927	29	20	proposed	propose	VERB
iajs-3927	29	21	in	in	ADP
iajs-3927	29	22	(	(	PUNCT
iajs-3927	29	23	3	3	NUM
iajs-3927	29	24	)	)	PUNCT
iajs-3927	29	25	.	.	PUNCT
iajs-3927	30	1	this	this	DET
iajs-3927	30	2	novel	novel	ADJ
iajs-3927	30	3	method	method	NOUN
iajs-3927	30	4	offers	offer	VERB
iajs-3927	30	5	a	a	DET
iajs-3927	30	6	unified	unified	ADJ
iajs-3927	30	7	and	and	CCONJ
iajs-3927	30	8	consistent	consistent	ADJ
iajs-3927	30	9	framework	framework	NOUN
iajs-3927	30	10	for	for	ADP
iajs-3927	30	11	adding	add	VERB
iajs-3927	30	12	time	time	NOUN
iajs-3927	30	13	-	-	PUNCT
iajs-3927	30	14	varying	vary	VERB
iajs-3927	30	15	parameters	parameter	NOUN
iajs-3927	30	16	to	to	ADP
iajs-3927	30	17	a	a	DET
iajs-3927	30	18	wide	wide	ADJ
iajs-3927	30	19	range	range	NOUN
iajs-3927	30	20	of	of	ADP
iajs-3927	30	21	nonlinear	nonlinear	ADJ
iajs-3927	30	22	models	model	NOUN
iajs-3927	30	23	.	.	PUNCT
iajs-3927	31	1	using	use	VERB
iajs-3927	31	2	multivariate	multivariate	NOUN
iajs-3927	31	3	point	point	NOUN
iajs-3927	31	4	processes	process	NOUN
iajs-3927	31	5	with	with	ADP
iajs-3927	31	6	time	time	NOUN
iajs-3927	31	7	-	-	PUNCT
iajs-3927	31	8	varying	vary	VERB
iajs-3927	31	9	parameters	parameter	NOUN
iajs-3927	31	10	and	and	CCONJ
iajs-3927	31	11	novel	novel	ADJ
iajs-3927	31	12	model	model	NOUN
iajs-3927	31	13	requirements	requirement	NOUN
iajs-3927	31	14	,	,	PUNCT
iajs-3927	31	15	this	this	DET
iajs-3927	31	16	method	method	NOUN
iajs-3927	31	17	can	can	AUX
iajs-3927	31	18	result	result	VERB
iajs-3927	31	19	in	in	ADP
iajs-3927	31	20	a	a	DET
iajs-3927	31	21	new	new	ADJ
iajs-3927	31	22	formulation	formulation	NOUN
iajs-3927	31	23	of	of	ADP
iajs-3927	31	24	observational	observational	ADJ
iajs-3927	31	25	models	model	NOUN
iajs-3927	31	26	.	.	PUNCT
iajs-3927	32	1	we	we	PRON
iajs-3927	32	2	present	present	VERB
iajs-3927	32	3	detailed	detailed	ADJ
iajs-3927	32	4	studies	study	NOUN
iajs-3927	32	5	of	of	ADP
iajs-3927	32	6	the	the	DET
iajs-3927	32	7	models	model	NOUN
iajs-3927	32	8	along	along	ADP
iajs-3927	32	9	with	with	ADP
iajs-3927	32	10	experimental	experimental	ADJ
iajs-3927	32	11	and	and	CCONJ
iajs-3927	32	12	simulation	simulation	NOUN
iajs-3927	32	13	evidence	evidence	NOUN
iajs-3927	32	14	.	.	PUNCT
iajs-3927	33	1	in	in	ADP
iajs-3927	33	2	(	(	PUNCT
iajs-3927	33	3	4	4	NUM
iajs-3927	33	4	)	)	PUNCT
iajs-3927	33	5	,	,	PUNCT
iajs-3927	33	6	an	an	DET
iajs-3927	33	7	optimal	optimal	ADJ
iajs-3927	33	8	power	power	NOUN
iajs-3927	33	9	spectrum	spectrum	NOUN
iajs-3927	33	10	estimator	estimator	NOUN
iajs-3927	33	11	using	use	VERB
iajs-3927	33	12	the	the	DET
iajs-3927	33	13	mixed	mixed	ADJ
iajs-3927	33	14	arma	arma	NOUN
iajs-3927	33	15	(	(	PUNCT
iajs-3927	33	16	1,1	1,1	NUM
iajs-3927	33	17	)	)	PUNCT
iajs-3927	33	18	model	model	NOUN
iajs-3927	33	19	for	for	ADP
iajs-3927	33	20	time	time	NOUN
iajs-3927	33	21	series	series	PROPN
iajs-3927	33	22	data	datum	NOUN
iajs-3927	33	23	that	that	PRON
iajs-3927	33	24	adheres	adhere	VERB
iajs-3927	33	25	to	to	ADP
iajs-3927	33	26	a	a	DET
iajs-3927	33	27	normal	normal	ADJ
iajs-3927	33	28	distribution	distribution	NOUN
iajs-3927	33	29	was	be	AUX
iajs-3927	33	30	conducted	conduct	VERB
iajs-3927	33	31	.	.	PUNCT
iajs-3927	34	1	an	an	DET
iajs-3927	34	2	extensively	extensively	ADV
iajs-3927	34	3	used	use	VERB
iajs-3927	34	4	model	model	NOUN
iajs-3927	34	5	for	for	ADP
iajs-3927	34	6	analyzing	analyze	VERB
iajs-3927	34	7	time	time	NOUN
iajs-3927	34	8	series	series	PROPN
iajs-3927	34	9	data	data	PROPN
iajs-3927	34	10	is	be	AUX
iajs-3927	34	11	the	the	DET
iajs-3927	34	12	autoregressive	autoregressive	ADJ
iajs-3927	34	13	(	(	PUNCT
iajs-3927	34	14	ar	ar	NOUN
iajs-3927	34	15	)	)	PUNCT
iajs-3927	34	16	model	model	NOUN
iajs-3927	34	17	.	.	PUNCT
iajs-3927	35	1	the	the	DET
iajs-3927	35	2	innovation	innovation	NOUN
iajs-3927	35	3	noise	noise	NOUN
iajs-3927	35	4	in	in	ADP
iajs-3927	35	5	ar	ar	PROPN
iajs-3927	35	6	was	be	AUX
iajs-3927	35	7	traditionally	traditionally	ADV
iajs-3927	35	8	described	describe	VERB
iajs-3927	35	9	as	as	ADP
iajs-3927	35	10	a	a	DET
iajs-3927	35	11	gaussian	gaussian	NOUN
iajs-3927	35	12	in	in	ADP
iajs-3927	35	13	(	(	PUNCT
iajs-3927	35	14	5	5	NUM
iajs-3927	35	15	)	)	PUNCT
iajs-3927	35	16	.	.	PUNCT
iajs-3927	36	1	but	but	CCONJ
iajs-3927	36	2	since	since	SCONJ
iajs-3927	36	3	many	many	ADJ
iajs-3927	36	4	time	time	NOUN
iajs-3927	36	5	series	series	PROPN
iajs-3927	36	6	applications	application	NOUN
iajs-3927	36	7	,	,	PUNCT
iajs-3927	36	8	like	like	ADP
iajs-3927	36	9	financial	financial	ADJ
iajs-3927	36	10	time	time	NOUN
iajs-3927	36	11	series	series	PROPN
iajs-3927	36	12	data	data	PROPN
iajs-3927	36	13	,	,	PUNCT
iajs-3927	36	14	for	for	ADP
iajs-3927	36	15	example	example	NOUN
iajs-3927	36	16	,	,	PUNCT
iajs-3927	36	17	are	be	AUX
iajs-3927	36	18	not	not	PART
iajs-3927	36	19	gaussian	gaussian	ADJ
iajs-3927	36	20	,	,	PUNCT
iajs-3927	36	21	the	the	DET
iajs-3927	36	22	ar	ar	NOUN
iajs-3927	36	23	model	model	NOUN
iajs-3927	36	24	with	with	ADP
iajs-3927	36	25	more	more	ADV
iajs-3927	36	26	broadly	broadly	ADV
iajs-3927	36	27	applicable	applicable	ADJ
iajs-3927	36	28	substantial	substantial	ADJ
iajs-3927	36	29	improvements	improvement	NOUN
iajs-3927	36	30	is	be	AUX
iajs-3927	36	31	recommended	recommend	VERB
iajs-3927	36	32	.	.	PUNCT
iajs-3927	37	1	for	for	ADP
iajs-3927	37	2	the	the	DET
iajs-3927	37	3	first	first	ADJ
iajs-3927	37	4	time	time	NOUN
iajs-3927	37	5	,	,	PUNCT
iajs-3927	37	6	an	an	DET
iajs-3927	37	7	effective	effective	ADJ
iajs-3927	37	8	framework	framework	NOUN
iajs-3927	37	9	based	base	VERB
iajs-3927	37	10	on	on	ADP
iajs-3927	37	11	stochastic	stochastic	ADJ
iajs-3927	37	12	approximation	approximation	NOUN
iajs-3927	37	13	expectation	expectation	NOUN
iajs-3927	37	14	maximization	maximization	NOUN
iajs-3927	37	15	(	(	PUNCT
iajs-3927	37	16	saem	saem	PROPN
iajs-3927	37	17	)	)	PUNCT
iajs-3927	37	18	combined	combine	VERB
iajs-3927	37	19	with	with	ADP
iajs-3927	37	20	a	a	DET
iajs-3927	37	21	markov	markov	NOUN
iajs-3927	37	22	chain	chain	NOUN
iajs-3927	37	23	monte	monte	PROPN
iajs-3927	37	24	carlo	carlo	PROPN
iajs-3927	37	25	(	(	PUNCT
iajs-3927	37	26	mcmc	mcmc	PROPN
iajs-3927	37	27	)	)	PUNCT
iajs-3927	37	28	approach	approach	NOUN
iajs-3927	37	29	is	be	AUX
iajs-3927	37	30	proposed	propose	VERB
iajs-3927	37	31	to	to	PART
iajs-3927	37	32	handle	handle	VERB
iajs-3927	37	33	the	the	DET
iajs-3927	37	34	problem	problem	NOUN
iajs-3927	37	35	of	of	ADP
iajs-3927	37	36	missing	miss	VERB
iajs-3927	37	37	values	value	NOUN
iajs-3927	37	38	in	in	ADP
iajs-3927	37	39	incomplete	incomplete	ADJ
iajs-3927	37	40	time	time	NOUN
iajs-3927	37	41	series	series	PROPN
iajs-3927	37	42	.	.	PUNCT
iajs-3927	38	1	authors	author	NOUN
iajs-3927	38	2	in	in	ADP
iajs-3927	38	3	(	(	PUNCT
iajs-3927	38	4	6	6	NUM
iajs-3927	38	5	)	)	PUNCT
iajs-3927	38	6	constructed	construct	VERB
iajs-3927	38	7	an	an	DET
iajs-3927	38	8	autoregressive	autoregressive	ADJ
iajs-3927	38	9	model	model	NOUN
iajs-3927	38	10	incorporating	incorporate	VERB
iajs-3927	38	11	an	an	DET
iajs-3927	38	12	exogenous	exogenous	ADJ
iajs-3927	38	13	variable	variable	NOUN
iajs-3927	38	14	.	.	PUNCT
iajs-3927	39	1	they	they	PRON
iajs-3927	39	2	use	use	VERB
iajs-3927	39	3	two	two	NUM
iajs-3927	39	4	methods	method	NOUN
iajs-3927	39	5	:	:	PUNCT
iajs-3927	39	6	the	the	DET
iajs-3927	39	7	first	first	ADJ
iajs-3927	39	8	method	method	NOUN
iajs-3927	39	9	employed	employ	VERB
iajs-3927	39	10	was	be	AUX
iajs-3927	39	11	the	the	DET
iajs-3927	39	12	threshold	threshold	NOUN
iajs-3927	39	13	approach	approach	NOUN
iajs-3927	39	14	,	,	PUNCT
iajs-3927	39	15	utilizing	utilize	VERB
iajs-3927	39	16	two	two	NUM
iajs-3927	39	17	proposed	propose	VERB
iajs-3927	39	18	approaches	approach	NOUN
iajs-3927	39	19	to	to	PART
iajs-3927	39	20	identify	identify	VERB
iajs-3927	39	21	the	the	DET
iajs-3927	39	22	optimal	optimal	ADJ
iajs-3927	39	23	cut	cut	NOUN
iajs-3927	39	24	-	-	PUNCT
iajs-3927	39	25	off	off	ADP
iajs-3927	39	26	point	point	NOUN
iajs-3927	39	27	for	for	ADP
iajs-3927	39	28	future	future	ADJ
iajs-3927	39	29	forecasting	forecasting	NOUN
iajs-3927	39	30	and	and	CCONJ
iajs-3927	39	31	predictability	predictability	NOUN
iajs-3927	39	32	in	in	ADP
iajs-3927	39	33	the	the	DET
iajs-3927	39	34	time	time	NOUN
iajs-3927	39	35	series	series	NOUN
iajs-3927	39	36	;	;	PUNCT
iajs-3927	39	37	their	their	PRON
iajs-3927	39	38	goal	goal	NOUN
iajs-3927	39	39	was	be	AUX
iajs-3927	39	40	achieved	achieve	VERB
iajs-3927	39	41	through	through	ADP
iajs-3927	39	42	the	the	DET
iajs-3927	39	43	threshold	threshold	NOUN
iajs-3927	39	44	point	point	NOUN
iajs-3927	39	45	indicator	indicator	NOUN
iajs-3927	39	46	;	;	PUNCT
iajs-3927	39	47	and	and	CCONJ
iajs-3927	39	48	the	the	DET
iajs-3927	39	49	second	second	ADJ
iajs-3927	39	50	method	method	NOUN
iajs-3927	39	51	involved	involve	VERB
iajs-3927	39	52	using	use	VERB
iajs-3927	39	53	seasonal	seasonal	ADJ
iajs-3927	39	54	b	b	PROPN
iajs-3927	39	55	-	-	PUNCT
iajs-3927	39	56	j	j	NOUN
iajs-3927	39	57	models	model	NOUN
iajs-3927	39	58	,	,	PUNCT
iajs-3927	39	59	which	which	PRON
iajs-3927	39	60	relied	rely	VERB
iajs-3927	39	61	on	on	ADP
iajs-3927	39	62	the	the	DET
iajs-3927	39	63	principles	principle	NOUN
iajs-3927	39	64	of	of	ADP
iajs-3927	39	65	the	the	DET
iajs-3927	39	66	two	two	NUM
iajs-3927	39	67	approaches	approach	NOUN
iajs-3927	39	68	above	above	ADV
iajs-3927	39	69	to	to	PART
iajs-3927	39	70	determine	determine	VERB
iajs-3927	39	71	the	the	DET
iajs-3927	39	72	most	most	ADV
iajs-3927	39	73	suitable	suitable	ADJ
iajs-3927	39	74	seasonal	seasonal	ADJ
iajs-3927	39	75	model	model	NOUN
iajs-3927	39	76	.	.	PUNCT
iajs-3927	40	1	the	the	DET
iajs-3927	40	2	enhancement	enhancement	NOUN
iajs-3927	40	3	of	of	ADP
iajs-3927	40	4	the	the	DET
iajs-3927	40	5	estimate	estimate	NOUN
iajs-3927	40	6	of	of	ADP
iajs-3927	40	7	a	a	DET
iajs-3927	40	8	third	third	ADJ
iajs-3927	40	9	-	-	PUNCT
iajs-3927	40	10	order	order	NOUN
iajs-3927	40	11	autoregressive	autoregressive	ADJ
iajs-3927	40	12	model	model	NOUN
iajs-3927	40	13	by	by	ADP
iajs-3927	40	14	employing	employ	VERB
iajs-3927	40	15	the	the	DET
iajs-3927	40	16	ldr	ldr	PROPN
iajs-3927	40	17	and	and	CCONJ
iajs-3927	40	18	wlse	wlse	ADJ
iajs-3927	40	19	estimation	estimation	NOUN
iajs-3927	40	20	techniques	technique	NOUN
iajs-3927	40	21	was	be	AUX
iajs-3927	40	22	studied	study	VERB
iajs-3927	40	23	by	by	ADP
iajs-3927	40	24	researchers	researcher	NOUN
iajs-3927	40	25	in	in	ADP
iajs-3927	40	26	(	(	PUNCT
iajs-3927	40	27	7	7	NUM
iajs-3927	40	28	)	)	PUNCT
iajs-3927	40	29	.	.	PUNCT
iajs-3927	41	1	by	by	ADP
iajs-3927	41	2	creating	create	VERB
iajs-3927	41	3	a	a	DET
iajs-3927	41	4	time	time	NOUN
iajs-3927	41	5	series	series	NOUN
iajs-3927	41	6	for	for	ADP
iajs-3927	41	7	the	the	DET
iajs-3927	41	8	ar(3	ar(3	NOUN
iajs-3927	41	9	)	)	PUNCT
iajs-3927	41	10	model	model	NOUN
iajs-3927	41	11	with	with	ADP
iajs-3927	41	12	normally	normally	ADV
iajs-3927	41	13	and	and	CCONJ
iajs-3927	41	14	non	non	ADJ
iajs-3927	41	15	-	-	ADJ
iajs-3927	41	16	normally	normally	ADV
iajs-3927	41	17	distributed	distribute	VERB
iajs-3927	41	18	error	error	NOUN
iajs-3927	41	19	terms	term	NOUN
iajs-3927	41	20	,	,	PUNCT
iajs-3927	41	21	the	the	DET
iajs-3927	41	22	researcher	researcher	NOUN
iajs-3927	41	23	in	in	ADP
iajs-3927	41	24	(	(	PUNCT
iajs-3927	41	25	7	7	NUM
iajs-3927	41	26	)	)	PUNCT
iajs-3927	41	27	found	find	VERB
iajs-3927	41	28	that	that	SCONJ
iajs-3927	41	29	enhancing	enhance	VERB
iajs-3927	41	30	the	the	DET
iajs-3927	41	31	estimation	estimation	NOUN
iajs-3927	41	32	of	of	ADP
iajs-3927	41	33	the	the	DET
iajs-3927	41	34	autoregressive	autoregressive	ADJ
iajs-3927	41	35	model	model	NOUN
iajs-3927	41	36	using	use	VERB
iajs-3927	41	37	the	the	DET
iajs-3927	41	38	ldr	ldr	PROPN
iajs-3927	41	39	and	and	CCONJ
iajs-3927	41	40	wlse	wlse	ADJ
iajs-3927	41	41	methods	method	NOUN
iajs-3927	41	42	is	be	AUX
iajs-3927	41	43	contingent	contingent	ADJ
iajs-3927	41	44	upon	upon	SCONJ
iajs-3927	41	45	the	the	DET
iajs-3927	41	46	sample	sample	NOUN
iajs-3927	41	47	size	size	NOUN
iajs-3927	41	48	for	for	ADP
iajs-3927	41	49	all	all	DET
iajs-3927	41	50	considered	consider	VERB
iajs-3927	41	51	error	error	NOUN
iajs-3927	41	52	distributions	distribution	NOUN
iajs-3927	41	53	.	.	PUNCT
iajs-3927	42	1	in	in	ADP
iajs-3927	42	2	(	(	PUNCT
iajs-3927	42	3	8)	8)	NUM
iajs-3927	42	4	,	,	PUNCT
iajs-3927	42	5	the	the	DET
iajs-3927	42	6	best	good	ADJ
iajs-3927	42	7	and	and	CCONJ
iajs-3927	42	8	most	most	ADV
iajs-3927	42	9	efficient	efficient	ADJ
iajs-3927	42	10	artificial	artificial	ADJ
iajs-3927	42	11	neural	neural	ADJ
iajs-3927	42	12	network	network	NOUN
iajs-3927	42	13	models	model	NOUN
iajs-3927	42	14	for	for	ADP
iajs-3927	42	15	solving	solve	VERB
iajs-3927	42	16	linear	linear	NOUN
iajs-3927	42	17	and	and	CCONJ
iajs-3927	42	18	nonlinear	nonlinear	ADJ
iajs-3927	42	19	time	time	NOUN
iajs-3927	42	20	series	series	PROPN
iajs-3927	42	21	behavior	behavior	NOUN
iajs-3927	42	22	were	be	AUX
iajs-3927	42	23	considered	consider	VERB
iajs-3927	42	24	.	.	PUNCT
iajs-3927	43	1	the	the	DET
iajs-3927	43	2	researchers	researcher	NOUN
iajs-3927	43	3	concluded	conclude	VERB
iajs-3927	43	4	that	that	SCONJ
iajs-3927	43	5	the	the	DET
iajs-3927	43	6	ideal	ideal	ADJ
iajs-3927	43	7	neural	neural	ADJ
iajs-3927	43	8	networks	network	NOUN
iajs-3927	43	9	are	be	AUX
iajs-3927	43	10	the	the	DET
iajs-3927	43	11	backpropagation	backpropagation	NOUN
iajs-3927	43	12	network	network	NOUN
iajs-3927	43	13	(	(	PUNCT
iajs-3927	43	14	bp	bp	PROPN
iajs-3927	43	15	)	)	PUNCT
iajs-3927	43	16	and	and	CCONJ
iajs-3927	43	17	the	the	DET
iajs-3927	43	18	recurrent	recurrent	ADJ
iajs-3927	43	19	neural	neural	ADJ
iajs-3927	43	20	network	network	NOUN
iajs-3927	43	21	(	(	PUNCT
iajs-3927	43	22	rnn	rnn	PROPN
iajs-3927	43	23	)	)	PUNCT
iajs-3927	43	24	for	for	ADP
iajs-3927	43	25	solving	solve	VERB
iajs-3927	43	26	time	time	NOUN
iajs-3927	43	27	series	series	NOUN
iajs-3927	43	28	,	,	PUNCT
iajs-3927	43	29	whether	whether	SCONJ
iajs-3927	43	30	linear	linear	ADJ
iajs-3927	43	31	,	,	PUNCT
iajs-3927	43	32	quasi	quasi	ADJ
iajs-3927	43	33	-	-	NOUN
iajs-3927	43	34	linear	linear	ADJ
iajs-3927	43	35	,	,	PUNCT
iajs-3927	43	36	or	or	CCONJ
iajs-3927	43	37	nonlinear	nonlinear	NOUN
iajs-3927	43	38	.	.	PUNCT
iajs-3927	44	1	the	the	DET
iajs-3927	44	2	results	result	NOUN
iajs-3927	44	3	showed	show	VERB
iajs-3927	44	4	an	an	DET
iajs-3927	44	5	improvement	improvement	NOUN
iajs-3927	44	6	over	over	ADP
iajs-3927	44	7	the	the	DET
iajs-3927	44	8	modern	modern	ADJ
iajs-3927	44	9	methods	method	NOUN
iajs-3927	44	10	of	of	ADP
iajs-3927	44	11	time	time	NOUN
iajs-3927	44	12	series	series	PROPN
iajs-3927	44	13	forecasting	forecasting	NOUN
iajs-3927	44	14	.	.	PUNCT
iajs-3927	45	1	furthermore	furthermore	ADV
iajs-3927	45	2	,	,	PUNCT
iajs-3927	45	3	the	the	DET
iajs-3927	45	4	author	author	NOUN
iajs-3927	45	5	in	in	ADP
iajs-3927	45	6	(	(	PUNCT
iajs-3927	45	7	9	9	NUM
iajs-3927	45	8	)	)	PUNCT
iajs-3927	45	9	combined	combine	VERB
iajs-3927	45	10	arma	arma	NOUN
iajs-3927	45	11	models	model	NOUN
iajs-3927	45	12	with	with	ADP
iajs-3927	45	13	egarch	egarch	NOUN
iajs-3927	45	14	models	model	NOUN
iajs-3927	45	15	to	to	PART
iajs-3927	45	16	create	create	VERB
iajs-3927	45	17	a	a	DET
iajs-3927	45	18	hybrid	hybrid	ADJ
iajs-3927	45	19	model	model	NOUN
iajs-3927	45	20	:	:	PUNCT
iajs-3927	45	21	arma	arma	PROPN
iajs-3927	45	22	–	–	PUNCT
iajs-3927	45	23	egarch	egarch	NOUN
iajs-3927	45	24	.	.	PUNCT
iajs-3927	46	1	this	this	DET
iajs-3927	46	2	hybrid	hybrid	ADJ
iajs-3927	46	3	model	model	NOUN
iajs-3927	46	4	was	be	AUX
iajs-3927	46	5	used	use	VERB
iajs-3927	46	6	to	to	PART
iajs-3927	46	7	analyze	analyze	VERB
iajs-3927	46	8	time	time	NOUN
iajs-3927	46	9	series	series	PROPN
iajs-3927	46	10	data	datum	NOUN
iajs-3927	46	11	on	on	ADP
iajs-3927	46	12	average	average	ADJ
iajs-3927	46	13	temperatures	temperature	NOUN
iajs-3927	46	14	.	.	PUNCT
iajs-3927	47	1	he	he	PRON
iajs-3927	47	2	determined	determine	VERB
iajs-3927	47	3	that	that	SCONJ
iajs-3927	47	4	the	the	DET
iajs-3927	47	5	optimal	optimal	ADJ
iajs-3927	47	6	model	model	NOUN
iajs-3927	47	7	is	be	AUX
iajs-3927	47	8	arma	arma	NOUN
iajs-3927	47	9	–	–	PUNCT
iajs-3927	47	10	egarch	egarch	NOUN
iajs-3927	47	11	;	;	PUNCT
iajs-3927	47	12	see	see	VERB
iajs-3927	47	13	(	(	PUNCT
iajs-3927	47	14	9	9	NUM
iajs-3927	47	15	)	)	PUNCT
iajs-3927	47	16	.	.	PUNCT
iajs-3927	48	1	in	in	ADP
iajs-3927	48	2	(	(	PUNCT
iajs-3927	48	3	10	10	NUM
iajs-3927	48	4	)	)	PUNCT
iajs-3927	48	5	,	,	PUNCT
iajs-3927	48	6	researchers	researcher	NOUN
iajs-3927	48	7	presented	present	VERB
iajs-3927	48	8	the	the	DET
iajs-3927	48	9	fundamental	fundamental	ADJ
iajs-3927	48	10	genetic	genetic	ADJ
iajs-3927	48	11	algorithm	algorithm	NOUN
iajs-3927	48	12	(	(	PUNCT
iajs-3927	48	13	cga	cga	PROPN
iajs-3927	48	14	)	)	PUNCT
iajs-3927	48	15	to	to	PART
iajs-3927	48	16	estimate	estimate	VERB
iajs-3927	48	17	the	the	DET
iajs-3927	48	18	log	log	NOUN
iajs-3927	48	19	-	-	PUNCT
iajs-3927	48	20	likelihood	likelihood	NOUN
iajs-3927	48	21	parameter	parameter	NOUN
iajs-3927	48	22	function	function	NOUN
iajs-3927	48	23	of	of	ADP
iajs-3927	48	24	a	a	DET
iajs-3927	48	25	first	first	ADJ
iajs-3927	48	26	-	-	PUNCT
iajs-3927	48	27	order	order	NOUN
iajs-3927	48	28	moving	move	VERB
iajs-3927	48	29	average	average	ADJ
iajs-3927	48	30	model	model	NOUN
iajs-3927	48	31	.	.	PUNCT
iajs-3927	49	1	after	after	ADP
iajs-3927	49	2	comparing	compare	VERB
iajs-3927	49	3	it	it	PRON
iajs-3927	49	4	based	base	VERB
iajs-3927	49	5	on	on	ADP
iajs-3927	49	6	mean	mean	ADJ
iajs-3927	49	7	squared	square	VERB
iajs-3927	49	8	error	error	NOUN
iajs-3927	49	9	(	(	PUNCT
iajs-3927	49	10	mse	mse	NOUN
iajs-3927	49	11	)	)	PUNCT
iajs-3927	49	12	with	with	ADP
iajs-3927	49	13	the	the	DET
iajs-3927	49	14	intraday	intraday	NOUN
iajs-3927	49	15	technique	technique	NOUN
iajs-3927	49	16	,	,	PUNCT
iajs-3927	49	17	they	they	PRON
iajs-3927	49	18	determined	determine	VERB
iajs-3927	49	19	that	that	SCONJ
iajs-3927	49	20	cga	cga	PROPN
iajs-3927	49	21	could	could	AUX
iajs-3927	49	22	yield	yield	VERB
iajs-3927	49	23	more	more	ADV
iajs-3927	49	24	dependable	dependable	ADJ
iajs-3927	49	25	outcomes	outcome	NOUN
iajs-3927	49	26	.	.	PUNCT
iajs-3927	50	1	in	in	ADP
iajs-3927	50	2	(	(	PUNCT
iajs-3927	50	3	11	11	NUM
iajs-3927	50	4	)	)	PUNCT
iajs-3927	50	5	,	,	PUNCT
iajs-3927	50	6	researchers	researcher	NOUN
iajs-3927	50	7	presented	present	VERB
iajs-3927	50	8	a	a	DET
iajs-3927	50	9	new	new	ADJ
iajs-3927	50	10	arima	arima	NOUN
iajs-3927	50	11	model	model	NOUN
iajs-3927	50	12	and	and	CCONJ
iajs-3927	50	13	applied	apply	VERB
iajs-3927	50	14	it	it	PRON
iajs-3927	50	15	to	to	ADP
iajs-3927	50	16	a	a	DET
iajs-3927	50	17	monthly	monthly	ADJ
iajs-3927	50	18	chemical	chemical	NOUN
iajs-3927	50	19	sales	sale	NOUN
iajs-3927	50	20	dataset	dataset	VERB
iajs-3927	50	21	in	in	ADP
iajs-3927	50	22	the	the	DET
iajs-3927	50	23	united	united	PROPN
iajs-3927	50	24	states	states	PROPN
iajs-3927	50	25	.	.	PUNCT
iajs-3927	51	1	after	after	ADP
iajs-3927	51	2	comparing	compare	VERB
iajs-3927	51	3	it	it	PRON
iajs-3927	51	4	with	with	ADP
iajs-3927	51	5	other	other	ADJ
iajs-3927	51	6	models	model	NOUN
iajs-3927	51	7	,	,	PUNCT
iajs-3927	51	8	they	they	PRON
iajs-3927	51	9	found	find	VERB
iajs-3927	51	10	that	that	SCONJ
iajs-3927	51	11	the	the	DET
iajs-3927	51	12	updated	update	VERB
iajs-3927	51	13	arima	arima	NOUN
iajs-3927	51	14	model	model	NOUN
iajs-3927	51	15	is	be	AUX
iajs-3927	51	16	more	more	ADV
iajs-3927	51	17	accurate	accurate	ADJ
iajs-3927	51	18	.	.	PUNCT
iajs-3927	52	1	in	in	ADP
iajs-3927	52	2	(	(	PUNCT
iajs-3927	52	3	12	12	NUM
iajs-3927	52	4	)	)	PUNCT
iajs-3927	52	5	they	they	PRON
iajs-3927	52	6	conducted	conduct	VERB
iajs-3927	52	7	the	the	DET
iajs-3927	52	8	first	first	ADJ
iajs-3927	52	9	study	study	NOUN
iajs-3927	52	10	with	with	ADP
iajs-3927	52	11	a	a	DET
iajs-3927	52	12	small	small	ADJ
iajs-3927	52	13	sample	sample	NOUN
iajs-3927	52	14	size	size	NOUN
iajs-3927	52	15	that	that	PRON
iajs-3927	52	16	focused	focus	VERB
iajs-3927	52	17	on	on	ADP
iajs-3927	52	18	predicting	predict	VERB
iajs-3927	52	19	errors	error	NOUN
iajs-3927	52	20	based	base	VERB
iajs-3927	52	21	on	on	ADP
iajs-3927	52	22	the	the	DET
iajs-3927	52	23	concept	concept	NOUN
iajs-3927	52	24	of	of	ADP
iajs-3927	52	25	the	the	DET
iajs-3927	52	26	gaussian	gaussian	ADJ
iajs-3927	52	27	noise	noise	NOUN
iajs-3927	52	28	process	process	NOUN
iajs-3927	52	29	.	.	PUNCT
iajs-3927	53	1	in	in	ADP
iajs-3927	53	2	(	(	PUNCT
iajs-3927	53	3	13	13	NUM
iajs-3927	53	4	)	)	PUNCT
iajs-3927	53	5	,	,	PUNCT
iajs-3927	53	6	researchers	researcher	NOUN
iajs-3927	53	7	studied	study	VERB
iajs-3927	53	8	monthly	monthly	ADJ
iajs-3927	53	9	rainfall	rainfall	NOUN
iajs-3927	53	10	data	datum	NOUN
iajs-3927	53	11	from	from	ADP
iajs-3927	53	12	the	the	DET
iajs-3927	53	13	baghdad	baghdad	PROPN
iajs-3927	53	14	meteorological	meteorological	ADJ
iajs-3927	53	15	station	station	NOUN
iajs-3927	53	16	to	to	PART
iajs-3927	53	17	study	study	VERB
iajs-3927	53	18	the	the	DET
iajs-3927	53	19	temporal	temporal	ADJ
iajs-3927	53	20	behavior	behavior	NOUN
iajs-3927	53	21	of	of	ADP
iajs-3927	53	22	the	the	DET
iajs-3927	53	23	data	data	NOUN
iajs-3927	53	24	series	series	NOUN
iajs-3927	53	25	for	for	ADP
iajs-3927	53	26	many	many	ADJ
iajs-3927	53	27	arima	arima	NOUN
iajs-3927	53	28	models	model	NOUN
iajs-3927	53	29	that	that	PRON
iajs-3927	53	30	have	have	AUX
iajs-3927	53	31	been	be	AUX
iajs-3927	53	32	tested	test	VERB
iajs-3927	53	33	.	.	PUNCT
iajs-3927	54	1	they	they	PRON
iajs-3927	54	2	verified	verify	VERB
iajs-3927	54	3	the	the	DET
iajs-3927	54	4	adequacy	adequacy	NOUN
iajs-3927	54	5	of	of	ADP
iajs-3927	54	6	the	the	DET
iajs-3927	54	7	best	good	ADJ
iajs-3927	54	8	one	one	NUM
iajs-3927	54	9	.	.	PUNCT
iajs-3927	55	1	they	they	PRON
iajs-3927	55	2	concluded	conclude	VERB
iajs-3927	55	3	that	that	SCONJ
iajs-3927	55	4	the	the	DET
iajs-3927	55	5	seasonal	seasonal	ADJ
iajs-3927	55	6	arima	arima	NOUN
iajs-3927	55	7	model	model	NOUN
iajs-3927	55	8	for	for	ADP
iajs-3927	55	9	orders	order	NOUN
iajs-3927	55	10	sarima(2,1,3)x(0,1,1	sarima(2,1,3)x(0,1,1	NOUN
iajs-3927	55	11	)	)	PUNCT
iajs-3927	55	12	is	be	AUX
iajs-3927	55	13	the	the	DET
iajs-3927	55	14	best	good	ADJ
iajs-3927	55	15	.	.	PUNCT
iajs-3927	56	1	ihjpas	ihjpas	PROPN
iajs-3927	56	2	.	.	PUNCT
iajs-3927	57	1	2025,38(4	2025,38(4	NOUN
iajs-3927	57	2	)	)	PUNCT
iajs-3927	57	3	309	309	NUM
iajs-3927	57	4	the	the	DET
iajs-3927	57	5	idea	idea	NOUN
iajs-3927	57	6	of	of	ADP
iajs-3927	57	7	this	this	DET
iajs-3927	57	8	work	work	NOUN
iajs-3927	57	9	is	be	AUX
iajs-3927	57	10	finding	find	VERB
iajs-3927	57	11	theoretically	theoretically	ADV
iajs-3927	57	12	the	the	DET
iajs-3927	57	13	estimation	estimation	NOUN
iajs-3927	57	14	of	of	ADP
iajs-3927	57	15	the	the	DET
iajs-3927	57	16	autoregressive	autoregressive	ADJ
iajs-3927	57	17	model	model	NOUN
iajs-3927	57	18	by	by	ADP
iajs-3927	57	19	likelihood	likelihood	NOUN
iajs-3927	57	20	function	function	NOUN
iajs-3927	57	21	by	by	ADP
iajs-3927	57	22	defining	define	VERB
iajs-3927	57	23	the	the	DET
iajs-3927	57	24	marginal	marginal	ADJ
iajs-3927	57	25	distribution	distribution	NOUN
iajs-3927	57	26	of	of	ADP
iajs-3927	57	27	the	the	DET
iajs-3927	57	28	ar	ar	NOUN
iajs-3927	57	29	process	process	NOUN
iajs-3927	57	30	when	when	SCONJ
iajs-3927	57	31	the	the	DET
iajs-3927	57	32	error	error	NOUN
iajs-3927	57	33	terms	term	NOUN
iajs-3927	57	34	of	of	ADP
iajs-3927	57	35	the	the	DET
iajs-3927	57	36	series	series	NOUN
iajs-3927	57	37	are	be	AUX
iajs-3927	57	38	normal	normal	ADJ
iajs-3927	57	39	distribution	distribution	NOUN
iajs-3927	57	40	with	with	ADP
iajs-3927	57	41	zero	zero	NUM
iajs-3927	57	42	mean	mean	ADJ
iajs-3927	57	43	and	and	CCONJ
iajs-3927	57	44	constant	constant	ADJ
iajs-3927	57	45	variance	variance	NOUN
iajs-3927	57	46	.	.	PUNCT
iajs-3927	58	1	the	the	DET
iajs-3927	58	2	rest	rest	NOUN
iajs-3927	58	3	of	of	ADP
iajs-3927	58	4	the	the	DET
iajs-3927	58	5	paper	paper	NOUN
iajs-3927	58	6	is	be	AUX
iajs-3927	58	7	section	section	NOUN
iajs-3927	58	8	2	2	NUM
iajs-3927	58	9	gives	give	VERB
iajs-3927	58	10	the	the	DET
iajs-3927	58	11	theatrical	theatrical	ADJ
iajs-3927	58	12	properties	property	NOUN
iajs-3927	58	13	of	of	ADP
iajs-3927	58	14	the	the	DET
iajs-3927	58	15	ar	ar	PROPN
iajs-3927	58	16	model	model	NOUN
iajs-3927	58	17	;	;	PUNCT
iajs-3927	58	18	section	section	NOUN
iajs-3927	58	19	3	3	NUM
iajs-3927	58	20	presents	present	VERB
iajs-3927	58	21	the	the	DET
iajs-3927	58	22	details	detail	NOUN
iajs-3927	58	23	of	of	ADP
iajs-3927	58	24	the	the	DET
iajs-3927	58	25	maximum	maximum	ADJ
iajs-3927	58	26	likelihood	likelihood	NOUN
iajs-3927	58	27	function	function	NOUN
iajs-3927	58	28	for	for	ADP
iajs-3927	58	29	the	the	DET
iajs-3927	58	30	ar	ar	PROPN
iajs-3927	58	31	model	model	NOUN
iajs-3927	58	32	,	,	PUNCT
iajs-3927	58	33	at	at	ADP
iajs-3927	58	34	least	least	ADJ
iajs-3927	58	35	the	the	DET
iajs-3927	58	36	simulation	simulation	NOUN
iajs-3927	58	37	and	and	CCONJ
iajs-3927	58	38	results	result	NOUN
iajs-3927	58	39	given	give	VERB
iajs-3927	58	40	in	in	ADP
iajs-3927	58	41	section	section	NOUN
iajs-3927	58	42	4	4	NUM
iajs-3927	58	43	.	.	NOUN
iajs-3927	58	44	2	2	NUM
iajs-3927	58	45	.	.	NUM
iajs-3927	58	46	autoregressive	autoregressive	ADJ
iajs-3927	58	47	time	time	NOUN
iajs-3927	58	48	series	series	PROPN
iajs-3927	58	49	model	model	NOUN
iajs-3927	58	50	the	the	DET
iajs-3927	58	51	autoregressive	autoregressive	ADJ
iajs-3927	58	52	time	time	NOUN
iajs-3927	58	53	series	series	PROPN
iajs-3927	58	54	model	model	NOUN
iajs-3927	58	55	of	of	ADP
iajs-3927	58	56	order	order	NOUN
iajs-3927	58	57	p	p	NOUN
iajs-3927	58	58	may	may	AUX
iajs-3927	58	59	be	be	AUX
iajs-3927	58	60	written	write	VERB
iajs-3927	58	61	as	as	ADP
iajs-3927	58	62	(	(	PUNCT
iajs-3927	58	63	14	14	NUM
iajs-3927	58	64	-	-	SYM
iajs-3927	58	65	19	19	NUM
iajs-3927	58	66	):	):	PUNCT
iajs-3927	58	67	(	(	PUNCT
iajs-3927	58	68	1	1	X
iajs-3927	58	69	)	)	PUNCT
iajs-3927	58	70	where	where	SCONJ
iajs-3927	58	71	p	p	NOUN
iajs-3927	58	72	is	be	AUX
iajs-3927	58	73	called	call	VERB
iajs-3927	58	74	the	the	DET
iajs-3927	58	75	order	order	NOUN
iajs-3927	58	76	of	of	ADP
iajs-3927	58	77	the	the	DET
iajs-3927	58	78	ar	ar	PROPN
iajs-3927	58	79	model	model	NOUN
iajs-3927	58	80	.	.	PUNCT
iajs-3927	59	1	of	of	ADP
iajs-3927	59	2	the	the	DET
iajs-3927	59	3	linear	linear	ADJ
iajs-3927	59	4	combination	combination	NOUN
iajs-3927	59	5	are	be	AUX
iajs-3927	59	6	the	the	DET
iajs-3927	59	7	model	model	NOUN
iajs-3927	59	8	parameters	parameter	NOUN
iajs-3927	59	9	and	and	CCONJ
iajs-3927	59	10	.	.	PUNCT
iajs-3927	60	1	by	by	ADP
iajs-3927	60	2	using	use	VERB
iajs-3927	60	3	the	the	DET
iajs-3927	60	4	backward	backward	ADJ
iajs-3927	60	5	shift	shift	NOUN
iajs-3927	60	6	operator	operator	NOUN
iajs-3927	60	7	,	,	PUNCT
iajs-3927	60	8	b	b	NOUN
iajs-3927	60	9	,	,	PUNCT
iajs-3927	60	10	which	which	PRON
iajs-3927	60	11	is	be	AUX
iajs-3927	60	12	(	(	PUNCT
iajs-3927	60	13	.	.	PUNCT
iajs-3927	61	1	then	then	ADV
iajs-3927	61	2	the	the	PRON
iajs-3927	61	3	in	in	ADJ
iajs-3927	61	4	equation	equation	NOUN
iajs-3927	61	5	1	1	NUM
iajs-3927	61	6	can	can	AUX
iajs-3927	61	7	be	be	AUX
iajs-3927	61	8	written	write	VERB
iajs-3927	61	9	as	as	ADP
iajs-3927	61	10	the	the	DET
iajs-3927	61	11	following	following	NOUN
iajs-3927	61	12	:	:	PUNCT
iajs-3927	61	13	which	which	PRON
iajs-3927	61	14	is	be	AUX
iajs-3927	61	15	simplified	simplify	VERB
iajs-3927	61	16	as	as	ADP
iajs-3927	61	17	below	below	ADV
iajs-3927	61	18	:	:	PUNCT
iajs-3927	61	19	.	.	PUNCT
iajs-3927	62	1	hence	hence	ADV
iajs-3927	62	2	,	,	PUNCT
iajs-3927	62	3	(	(	PUNCT
iajs-3927	62	4	2	2	X
iajs-3927	62	5	)	)	PUNCT
iajs-3927	62	6	where	where	SCONJ
iajs-3927	62	7	.	.	PUNCT
iajs-3927	63	1	by	by	ADP
iajs-3927	63	2	dividing	divide	VERB
iajs-3927	63	3	both	both	DET
iajs-3927	63	4	sides	side	NOUN
iajs-3927	63	5	of	of	ADP
iajs-3927	63	6	equation	equation	NOUN
iajs-3927	63	7	2	2	NUM
iajs-3927	63	8	on	on	ADP
iajs-3927	63	9	,	,	PUNCT
iajs-3927	63	10	we	we	PRON
iajs-3927	63	11	get	get	AUX
iajs-3927	63	12	:	:	PUNCT
iajs-3927	63	13	,	,	PUNCT
iajs-3927	63	14	where	where	SCONJ
iajs-3927	63	15	.	.	PUNCT
iajs-3927	64	1	the	the	DET
iajs-3927	64	2	parameters	parameter	NOUN
iajs-3927	64	3	of	of	ADP
iajs-3927	64	4	an	an	DET
iajs-3927	64	5	ar	ar	NOUN
iajs-3927	64	6	(	(	PUNCT
iajs-3927	64	7	p	p	NOUN
iajs-3927	64	8	)	)	PUNCT
iajs-3927	64	9	process	process	NOUN
iajs-3927	64	10	must	must	AUX
iajs-3927	64	11	satisfy	satisfy	VERB
iajs-3927	64	12	certain	certain	ADJ
iajs-3927	64	13	conditions	condition	NOUN
iajs-3927	64	14	for	for	SCONJ
iajs-3927	64	15	the	the	DET
iajs-3927	64	16	process	process	NOUN
iajs-3927	64	17	to	to	PART
iajs-3927	64	18	be	be	AUX
iajs-3927	64	19	stationary	stationary	ADJ
iajs-3927	64	20	.	.	PUNCT
iajs-3927	65	1	3	3	X
iajs-3927	65	2	.	.	X
iajs-3927	65	3	likelihood	likelihood	NOUN
iajs-3927	65	4	function	function	NOUN
iajs-3927	65	5	of	of	ADP
iajs-3927	65	6	model	model	NOUN
iajs-3927	65	7	as	as	ADP
iajs-3927	65	8	in	in	ADP
iajs-3927	65	9	(	(	PUNCT
iajs-3927	65	10	19	19	NUM
iajs-3927	65	11	-	-	SYM
iajs-3927	65	12	23	23	NUM
iajs-3927	65	13	)	)	PUNCT
iajs-3927	66	1	,	,	PUNCT
iajs-3927	66	2	we	we	PRON
iajs-3927	66	3	suppose	suppose	VERB
iajs-3927	66	4	that	that	SCONJ
iajs-3927	66	5	the	the	DET
iajs-3927	66	6	order	order	NOUN
iajs-3927	66	7	stationary	stationary	ADJ
iajs-3927	66	8	autoregressive	autoregressive	ADJ
iajs-3927	66	9	model	model	NOUN
iajs-3927	66	10	is	be	AUX
iajs-3927	66	11	considered	consider	VERB
iajs-3927	66	12	as	as	SCONJ
iajs-3927	66	13	follows	follow	VERB
iajs-3927	66	14	:	:	PUNCT
iajs-3927	66	15	.	.	PUNCT
iajs-3927	67	1	that	that	ADV
iajs-3927	67	2	is	is	ADV
iajs-3927	67	3	(	(	PUNCT
iajs-3927	67	4	3	3	NUM
iajs-3927	67	5	)	)	PUNCT
iajs-3927	67	6	the	the	DET
iajs-3927	67	7	formula	formula	NOUN
iajs-3927	67	8	for	for	ADP
iajs-3927	67	9	the	the	DET
iajs-3927	67	10	exact	exact	ADJ
iajs-3927	67	11	likelihood	likelihood	NOUN
iajs-3927	67	12	function	function	NOUN
iajs-3927	67	13	is	be	AUX
iajs-3927	67	14	:	:	PUNCT
iajs-3927	68	1	|	|	ADV
iajs-3927	68	2	|	|	ADV
iajs-3927	68	3	(	(	PUNCT
iajs-3927	68	4	4	4	X
iajs-3927	68	5	)	)	PUNCT
iajs-3927	68	6	where	where	SCONJ
iajs-3927	68	7	∑	∑	ADV
iajs-3927	68	8	∑	∑	PROPN
iajs-3927	68	9	∑	∑	PUNCT
iajs-3927	68	10	.	.	PUNCT
iajs-3927	69	1	also	also	ADV
iajs-3927	69	2	,	,	PUNCT
iajs-3927	69	3	|	|	ADV
iajs-3927	69	4	|	|	ADV
iajs-3927	69	5	[	[	PUNCT
iajs-3927	69	6	]	]	X
iajs-3927	69	7	(	(	PUNCT
iajs-3927	69	8	5	5	NUM
iajs-3927	69	9	)	)	PUNCT
iajs-3927	69	10	where	where	SCONJ
iajs-3927	69	11	are	be	AUX
iajs-3927	69	12	the	the	DET
iajs-3927	69	13	theoretical	theoretical	ADJ
iajs-3927	69	14	covariance	covariance	NOUN
iajs-3927	69	15	of	of	ADP
iajs-3927	69	16	the	the	DET
iajs-3927	69	17	process	process	NOUN
iajs-3927	69	18	and	and	CCONJ
iajs-3927	70	1	|	|	ADV
iajs-3927	70	2	|	|	ADV
iajs-3927	71	1	|	|	ADV
iajs-3927	72	1	|	|	ADV
iajs-3927	72	2	in	in	ADP
iajs-3927	72	3	our	our	PRON
iajs-3927	72	4	work	work	NOUN
iajs-3927	72	5	,	,	PUNCT
iajs-3927	72	6	we	we	PRON
iajs-3927	72	7	have	have	VERB
iajs-3927	72	8	three	three	NUM
iajs-3927	72	9	cases	case	NOUN
iajs-3927	72	10	for	for	ADP
iajs-3927	72	11	the	the	DET
iajs-3927	72	12	likelihood	likelihood	NOUN
iajs-3927	72	13	functions	function	NOUN
iajs-3927	72	14	.	.	PUNCT
iajs-3927	73	1	therefore	therefore	ADV
iajs-3927	73	2	,	,	PUNCT
iajs-3927	73	3	for	for	ADP
iajs-3927	73	4	equation	equation	NOUN
iajs-3927	73	5	4	4	NUM
iajs-3927	73	6	,	,	PUNCT
iajs-3927	73	7	we	we	PRON
iajs-3927	73	8	have	have	VERB
iajs-3927	73	9	three	three	NUM
iajs-3927	73	10	cases	case	NOUN
iajs-3927	73	11	as	as	SCONJ
iajs-3927	73	12	follows	follow	VERB
iajs-3927	73	13	:	:	PUNCT
iajs-3927	73	14	maximum	maximum	ADJ
iajs-3927	73	15	likelihood	likelihood	NOUN
iajs-3927	73	16	for	for	ADP
iajs-3927	73	17	ar	ar	PROPN
iajs-3927	73	18	(	(	PUNCT
iajs-3927	73	19	1	1	NUM
iajs-3927	73	20	)	)	PUNCT
iajs-3927	73	21	the	the	DET
iajs-3927	73	22	general	general	ADJ
iajs-3927	73	23	likelihood	likelihood	NOUN
iajs-3927	73	24	function	function	NOUN
iajs-3927	73	25	is	be	AUX
iajs-3927	73	26	|	|	ADV
iajs-3927	73	27	|	|	ADV
iajs-3927	73	28	.	.	PUNCT
iajs-3927	74	1	where	where	SCONJ
iajs-3927	74	2	=	=	PUNCT
iajs-3927	75	1	=	=	SYM
iajs-3927	75	2	=	=	X
iajs-3927	75	3	,	,	PUNCT
iajs-3927	75	4	and	and	CCONJ
iajs-3927	75	5	|	|	ADV
iajs-3927	75	6	|	|	ADV
iajs-3927	75	7	|	|	ADV
iajs-3927	75	8	|	|	ADV
iajs-3927	75	9	as	as	ADP
iajs-3927	75	10	a	a	DET
iajs-3927	75	11	result	result	NOUN
iajs-3927	75	12	,	,	PUNCT
iajs-3927	75	13	the	the	DET
iajs-3927	75	14	exact	exact	ADJ
iajs-3927	75	15	likelihood	likelihood	NOUN
iajs-3927	75	16	function	function	NOUN
iajs-3927	75	17	is	be	AUX
iajs-3927	75	18	|	|	ADV
iajs-3927	75	19	|	|	ADV
iajs-3927	75	20	∑	∑	INTJ
iajs-3927	75	21	(	(	PUNCT
iajs-3927	75	22	6	6	NUM
iajs-3927	75	23	)	)	PUNCT
iajs-3927	75	24	the	the	DET
iajs-3927	75	25	log	log	NOUN
iajs-3927	75	26	likelihood	likelihood	NOUN
iajs-3927	75	27	of	of	ADP
iajs-3927	75	28	equation	equation	NOUN
iajs-3927	75	29	6	6	NUM
iajs-3927	75	30	is	be	AUX
iajs-3927	75	31	:	:	PUNCT
iajs-3927	75	32	ihjpas	ihjpas	PROPN
iajs-3927	75	33	.	.	PUNCT
iajs-3927	76	1	2025,38(4	2025,38(4	X
iajs-3927	76	2	)	)	PUNCT
iajs-3927	76	3	310	310	NUM
iajs-3927	76	4	∑	∑	SYM
iajs-3927	76	5	(	(	PUNCT
iajs-3927	76	6	7	7	X
iajs-3927	76	7	)	)	PUNCT
iajs-3927	76	8	differentiate	differentiate	VERB
iajs-3927	76	9	both	both	DET
iajs-3927	76	10	sides	side	NOUN
iajs-3927	76	11	of	of	ADP
iajs-3927	76	12	equation	equation	NOUN
iajs-3927	76	13	7	7	NUM
iajs-3927	76	14	with	with	ADP
iajs-3927	76	15	respect	respect	NOUN
iajs-3927	76	16	to	to	ADP
iajs-3927	76	17	:	:	PUNCT
iajs-3927	76	18	∑	∑	PROPN
iajs-3927	76	19	.	.	PUNCT
iajs-3927	77	1	therefore	therefore	ADV
iajs-3927	77	2	,	,	PUNCT
iajs-3927	77	3	∑	∑	ADV
iajs-3927	77	4	∑	∑	PUNCT
iajs-3927	77	5	set	set	VERB
iajs-3927	77	6	∑	∑	PROPN
iajs-3927	77	7	∑	∑	PROPN
iajs-3927	77	8	(	(	PUNCT
iajs-3927	77	9	8)	8)	NUM
iajs-3927	77	10	since	since	SCONJ
iajs-3927	77	11	,	,	PUNCT
iajs-3927	77	12	where	where	SCONJ
iajs-3927	77	13	and	and	CCONJ
iajs-3927	77	14	.	.	PUNCT
iajs-3927	78	1	then	then	ADV
iajs-3927	78	2	,	,	PUNCT
iajs-3927	78	3	equation	equation	NOUN
iajs-3927	78	4	8	8	NUM
iajs-3927	78	5	become	become	VERB
iajs-3927	78	6	∑	∑	PROPN
iajs-3927	78	7	∑	∑	PUNCT
iajs-3927	78	8	(	(	PUNCT
iajs-3927	78	9	9	9	NUM
iajs-3927	78	10	)	)	PUNCT
iajs-3927	78	11	substitute	substitute	NOUN
iajs-3927	78	12	∑	∑	PUNCT
iajs-3927	78	13	,	,	PUNCT
iajs-3927	78	14	in	in	ADP
iajs-3927	78	15	equation	equation	NOUN
iajs-3927	78	16	9	9	NUM
iajs-3927	78	17	∑	∑	NOUN
iajs-3927	78	18	∑	∑	PROPN
iajs-3927	78	19	∑	∑	PROPN
iajs-3927	78	20	(	(	PUNCT
iajs-3927	78	21	)	)	PUNCT
iajs-3927	78	22	∑	∑	PROPN
iajs-3927	78	23	∑	∑	PROPN
iajs-3927	78	24	∑	∑	PROPN
iajs-3927	78	25	∑	∑	ADV
iajs-3927	78	26	.hence	.hence	ADV
iajs-3927	78	27	,	,	PUNCT
iajs-3927	78	28	∑	∑	ADP
iajs-3927	78	29	∑	∑	PUNCT
iajs-3927	78	30	̂	̂	PUNCT
iajs-3927	78	31	∑	∑	PROPN
iajs-3927	78	32	∑	∑	PUNCT
iajs-3927	78	33	.	.	PUNCT
iajs-3927	79	1	maximum	maximum	ADJ
iajs-3927	79	2	likelihood	likelihood	NOUN
iajs-3927	79	3	for	for	ADP
iajs-3927	79	4	ar(2	ar(2	NOUN
iajs-3927	79	5	)	)	PUNCT
iajs-3927	79	6	for	for	ADP
iajs-3927	79	7	,	,	PUNCT
iajs-3927	79	8	the	the	DET
iajs-3927	79	9	exact	exact	ADJ
iajs-3927	79	10	likelihood	likelihood	NOUN
iajs-3927	79	11	function	function	NOUN
iajs-3927	79	12	is	be	AUX
iajs-3927	79	13	|	|	ADV
iajs-3927	79	14	|	|	ADV
iajs-3927	79	15	(	(	PUNCT
iajs-3927	79	16	10	10	NUM
iajs-3927	79	17	)	)	PUNCT
iajs-3927	79	18	then	then	ADV
iajs-3927	79	19	,	,	PUNCT
iajs-3927	79	20	equation	equation	NOUN
iajs-3927	79	21	5	5	NUM
iajs-3927	79	22	be	be	AUX
iajs-3927	79	23	∑	∑	PROPN
iajs-3927	79	24	.	.	PUNCT
iajs-3927	80	1	where	where	SCONJ
iajs-3927	80	2	,	,	PUNCT
iajs-3927	80	3	and	and	CCONJ
iajs-3927	80	4	{	{	PUNCT
iajs-3927	80	5	|	|	ADV
iajs-3927	80	6	|	|	ADV
iajs-3927	80	7	}	}	PUNCT
iajs-3927	80	8	.	.	PUNCT
iajs-3927	81	1	hence	hence	ADV
iajs-3927	81	2	,	,	PUNCT
iajs-3927	81	3	∑	∑	PROPN
iajs-3927	81	4	(	(	PUNCT
iajs-3927	81	5	11	11	NUM
iajs-3927	81	6	)	)	PUNCT
iajs-3927	81	7	then	then	ADV
iajs-3927	81	8	,	,	PUNCT
iajs-3927	81	9	|	|	ADV
iajs-3927	82	1	|	|	ADV
iajs-3927	82	2	|	|	ADV
iajs-3927	82	3	|	|	INTJ
iajs-3927	82	4	(	(	PUNCT
iajs-3927	82	5	12	12	NUM
iajs-3927	82	6	)	)	PUNCT
iajs-3927	82	7	substitute	substitute	NOUN
iajs-3927	82	8	equations	equation	NOUN
iajs-3927	82	9	11	11	NUM
iajs-3927	82	10	and	and	CCONJ
iajs-3927	82	11	12	12	NUM
iajs-3927	82	12	in	in	ADP
iajs-3927	82	13	equation	equation	NOUN
iajs-3927	82	14	10	10	NUM
iajs-3927	83	1	|	|	ADV
iajs-3927	83	2	|	|	ADV
iajs-3927	83	3	∑	∑	ADP
iajs-3927	83	4	}	}	PUNCT
iajs-3927	83	5	(	(	PUNCT
iajs-3927	83	6	13	13	NUM
iajs-3927	83	7	)	)	PUNCT
iajs-3927	83	8	the	the	DET
iajs-3927	83	9	log	log	NOUN
iajs-3927	83	10	likelihood	likelihood	NOUN
iajs-3927	83	11	of	of	ADP
iajs-3927	83	12	equation	equation	NOUN
iajs-3927	83	13	13	13	NUM
iajs-3927	83	14	is	be	AUX
iajs-3927	83	15	∑	∑	PUNCT
iajs-3927	83	16	(	(	PUNCT
iajs-3927	83	17	14	14	NUM
iajs-3927	83	18	)	)	PUNCT
iajs-3927	83	19	differentiate	differentiate	VERB
iajs-3927	83	20	both	both	DET
iajs-3927	83	21	sides	side	NOUN
iajs-3927	83	22	of	of	ADP
iajs-3927	83	23	equation	equation	NOUN
iajs-3927	83	24	14	14	NUM
iajs-3927	83	25	with	with	ADP
iajs-3927	83	26	respect	respect	NOUN
iajs-3927	83	27	to	to	ADP
iajs-3927	83	28	:	:	PUNCT
iajs-3927	83	29	∑	∑	ADP
iajs-3927	83	30	∑	∑	PUNCT
iajs-3927	83	31	∑	∑	PUNCT
iajs-3927	83	32	.set	.set	VERB
iajs-3927	83	33	∑	∑	PUNCT
iajs-3927	83	34	∑	∑	PROPN
iajs-3927	83	35	∑	∑	PROPN
iajs-3927	83	36	.	.	PUNCT
iajs-3927	84	1	therefore	therefore	ADV
iajs-3927	84	2	,	,	PUNCT
iajs-3927	84	3	∑	∑	ADV
iajs-3927	84	4	∑	∑	PUNCT
iajs-3927	84	5	∑	∑	INTJ
iajs-3927	84	6	(	(	PUNCT
iajs-3927	84	7	15	15	NUM
iajs-3927	84	8	)	)	PUNCT
iajs-3927	84	9	differentiate	differentiate	VERB
iajs-3927	84	10	both	both	DET
iajs-3927	84	11	sides	side	NOUN
iajs-3927	84	12	of	of	ADP
iajs-3927	84	13	equation	equation	NOUN
iajs-3927	84	14	14	14	NUM
iajs-3927	84	15	with	with	ADP
iajs-3927	84	16	respect	respect	NOUN
iajs-3927	84	17	to	to	ADP
iajs-3927	84	18	:	:	PUNCT
iajs-3927	84	19	∑	∑	ADP
iajs-3927	84	20	∑	∑	PART
iajs-3927	84	21	∑	∑	PROPN
iajs-3927	84	22	∑	∑	PART
iajs-3927	84	23	∑	∑	PART
iajs-3927	84	24	∑	∑	ADV
iajs-3927	84	25	set	set	VERB
iajs-3927	84	26	.	.	PUNCT
iajs-3927	85	1	∑	∑	ADP
iajs-3927	85	2	∑	∑	PROPN
iajs-3927	85	3	∑	∑	PROPN
iajs-3927	85	4	(	(	PUNCT
iajs-3927	85	5	16	16	NUM
iajs-3927	85	6	)	)	PUNCT
iajs-3927	85	7	substitute	substitute	NOUN
iajs-3927	85	8	equation	equation	NOUN
iajs-3927	85	9	15	15	NUM
iajs-3927	85	10	in	in	ADP
iajs-3927	85	11	equation	equation	NOUN
iajs-3927	85	12	16	16	NUM
iajs-3927	85	13	.	.	PUNCT
iajs-3927	86	1	ihjpas	ihjpas	PROPN
iajs-3927	86	2	.	.	PUNCT
iajs-3927	87	1	2025,38(4	2025,38(4	X
iajs-3927	87	2	)	)	PUNCT
iajs-3927	87	3	311	311	NUM
iajs-3927	87	4	∑	∑	PROPN
iajs-3927	87	5	∑	∑	PROPN
iajs-3927	87	6	∑	∑	PROPN
iajs-3927	87	7	∑	∑	PROPN
iajs-3927	87	8	∑	∑	VERB
iajs-3927	87	9	∑	∑	ADV
iajs-3927	87	10	after	after	ADP
iajs-3927	87	11	simplification	simplification	NOUN
iajs-3927	87	12	,	,	PUNCT
iajs-3927	87	13	∑	∑	ADP
iajs-3927	87	14	∑	∑	PUNCT
iajs-3927	87	15	∑	∑	PROPN
iajs-3927	87	16	∑	∑	PROPN
iajs-3927	87	17	∑	∑	PROPN
iajs-3927	87	18	(	(	PUNCT
iajs-3927	87	19	17	17	NUM
iajs-3927	87	20	)	)	PUNCT
iajs-3927	87	21	hence	hence	ADV
iajs-3927	87	22	,	,	PUNCT
iajs-3927	87	23	̂	̂	VERB
iajs-3927	87	24	∑	∑	PROPN
iajs-3927	87	25	∑	∑	PROPN
iajs-3927	87	26	∑	∑	PROPN
iajs-3927	87	27	∑	∑	PROPN
iajs-3927	87	28	∑	∑	PART
iajs-3927	87	29	.	.	PUNCT
iajs-3927	88	1	substitute	substitute	ADJ
iajs-3927	88	2	equation	equation	NOUN
iajs-3927	88	3	17	17	NUM
iajs-3927	88	4	in	in	ADP
iajs-3927	88	5	equation	equation	NOUN
iajs-3927	88	6	15	15	NUM
iajs-3927	88	7	.	.	PUNCT
iajs-3927	89	1	then	then	ADV
iajs-3927	89	2	:	:	PUNCT
iajs-3927	89	3	∑	∑	ADP
iajs-3927	89	4	∑	∑	PART
iajs-3927	89	5	∑	∑	PROPN
iajs-3927	89	6	∑	∑	PROPN
iajs-3927	89	7	∑	∑	PROPN
iajs-3927	89	8	∑	∑	PROPN
iajs-3927	89	9	∑	∑	PROPN
iajs-3927	89	10	∑	∑	PROPN
iajs-3927	89	11	.	.	PUNCT
iajs-3927	90	1	after	after	ADP
iajs-3927	90	2	simplification	simplification	NOUN
iajs-3927	90	3	,	,	PUNCT
iajs-3927	90	4	∑	∑	ADP
iajs-3927	90	5	∑	∑	PUNCT
iajs-3927	90	6	∑	∑	PROPN
iajs-3927	90	7	∑	∑	PROPN
iajs-3927	90	8	∑	∑	PUNCT
iajs-3927	90	9	.	.	PUNCT
iajs-3927	90	10	hence	hence	ADV
iajs-3927	90	11	.	.	PUNCT
iajs-3927	91	1	̂	̂	VERB
iajs-3927	91	2	∑	∑	PROPN
iajs-3927	91	3	∑	∑	PROPN
iajs-3927	91	4	∑	∑	PROPN
iajs-3927	91	5	∑	∑	PROPN
iajs-3927	91	6	∑	∑	ADJ
iajs-3927	91	7	maximum	maximum	ADJ
iajs-3927	91	8	likelihood	likelihood	NOUN
iajs-3927	91	9	for	for	ADP
iajs-3927	91	10	ar	ar	PROPN
iajs-3927	91	11	(	(	PUNCT
iajs-3927	91	12	3	3	NUM
iajs-3927	91	13	)	)	PUNCT
iajs-3927	91	14	for	for	ADP
iajs-3927	91	15	the	the	DET
iajs-3927	91	16	exact	exact	ADJ
iajs-3927	91	17	likelihood	likelihood	NOUN
iajs-3927	91	18	function	function	NOUN
iajs-3927	91	19	will	will	AUX
iajs-3927	91	20	be	be	AUX
iajs-3927	91	21	:	:	PUNCT
iajs-3927	91	22	|	|	ADV
iajs-3927	91	23	|	|	ADV
iajs-3927	91	24	,	,	PUNCT
iajs-3927	91	25	(	(	PUNCT
iajs-3927	91	26	18	18	NUM
iajs-3927	91	27	)	)	PUNCT
iajs-3927	91	28	the	the	DET
iajs-3927	91	29	equation	equation	NOUN
iajs-3927	91	30	5	5	NUM
iajs-3927	91	31	will	will	AUX
iajs-3927	91	32	be	be	AUX
iajs-3927	91	33	∑	∑	PROPN
iajs-3927	91	34	.	.	PUNCT
iajs-3927	92	1	so	so	ADV
iajs-3927	92	2	we	we	PRON
iajs-3927	92	3	have	have	VERB
iajs-3927	92	4	,	,	PUNCT
iajs-3927	92	5	,	,	PUNCT
iajs-3927	92	6	and	and	CCONJ
iajs-3927	92	7	{	{	PUNCT
iajs-3927	92	8	|	|	ADV
iajs-3927	92	9	|	|	ADV
iajs-3927	92	10	}	}	PUNCT
iajs-3927	92	11	.	.	PUNCT
iajs-3927	93	1	hence	hence	ADV
iajs-3927	93	2	,	,	PUNCT
iajs-3927	93	3	∑	∑	PROPN
iajs-3927	93	4	(	(	PUNCT
iajs-3927	93	5	19	19	NUM
iajs-3927	93	6	)	)	PUNCT
iajs-3927	93	7	then	then	ADV
iajs-3927	93	8	|	|	ADV
iajs-3927	93	9	|	|	ADV
iajs-3927	94	1	|	|	ADV
iajs-3927	94	2	|	|	INTJ
iajs-3927	94	3	(	(	PUNCT
iajs-3927	94	4	20	20	NUM
iajs-3927	94	5	)	)	PUNCT
iajs-3927	94	6	by	by	ADP
iajs-3927	94	7	substitute	substitute	ADJ
iajs-3927	94	8	equations	equation	NOUN
iajs-3927	94	9	19	19	NUM
iajs-3927	94	10	and	and	CCONJ
iajs-3927	94	11	20	20	NUM
iajs-3927	94	12	in	in	ADP
iajs-3927	94	13	equation	equation	NOUN
iajs-3927	94	14	18	18	NUM
iajs-3927	94	15	,	,	PUNCT
iajs-3927	94	16	the	the	DET
iajs-3927	94	17	exact	exact	ADJ
iajs-3927	94	18	likelihood	likelihood	NOUN
iajs-3927	94	19	function	function	NOUN
iajs-3927	94	20	will	will	AUX
iajs-3927	94	21	be	be	AUX
iajs-3927	94	22	|	|	ADV
iajs-3927	94	23	|	|	ADV
iajs-3927	94	24	,	,	PUNCT
iajs-3927	94	25	∑	∑	PROPN
iajs-3927	94	26	(	(	PUNCT
iajs-3927	94	27	21	21	NUM
iajs-3927	94	28	)	)	PUNCT
iajs-3927	94	29	the	the	DET
iajs-3927	94	30	log	log	NOUN
iajs-3927	94	31	likelihood	likelihood	NOUN
iajs-3927	94	32	of	of	ADP
iajs-3927	94	33	equation	equation	NOUN
iajs-3927	94	34	21	21	NUM
iajs-3927	94	35	is	be	AUX
iajs-3927	94	36	=	=	PUNCT
iajs-3927	94	37	∑	∑	PUNCT
iajs-3927	94	38	(	(	PUNCT
iajs-3927	94	39	22	22	NUM
iajs-3927	94	40	)	)	PUNCT
iajs-3927	94	41	differentiate	differentiate	VERB
iajs-3927	94	42	both	both	DET
iajs-3927	94	43	sides	side	NOUN
iajs-3927	94	44	of	of	ADP
iajs-3927	94	45	equation	equation	NOUN
iajs-3927	94	46	22	22	NUM
iajs-3927	94	47	with	with	ADP
iajs-3927	94	48	respect	respect	NOUN
iajs-3927	94	49	to	to	ADP
iajs-3927	94	50	:	:	PUNCT
iajs-3927	94	51	∑	∑	ADP
iajs-3927	94	52	∑	∑	PUNCT
iajs-3927	94	53	∑	∑	PROPN
iajs-3927	94	54	∑	∑	PUNCT
iajs-3927	94	55	.	.	PUNCT
iajs-3927	95	1	we	we	PRON
iajs-3927	95	2	make	make	VERB
iajs-3927	95	3	,	,	PUNCT
iajs-3927	95	4	so	so	ADV
iajs-3927	95	5	we	we	PRON
iajs-3927	95	6	have	have	VERB
iajs-3927	95	7	∑	∑	PROPN
iajs-3927	95	8	∑	∑	PROPN
iajs-3927	95	9	∑	∑	PROPN
iajs-3927	95	10	∑	∑	PROPN
iajs-3927	95	11	.	.	PUNCT
iajs-3927	96	1	after	after	ADP
iajs-3927	96	2	simplification	simplification	NOUN
iajs-3927	96	3	,	,	PUNCT
iajs-3927	96	4	∑	∑	ADP
iajs-3927	96	5	∑	∑	PUNCT
iajs-3927	96	6	∑	∑	PROPN
iajs-3927	96	7	∑	∑	PROPN
iajs-3927	96	8	(	(	PUNCT
iajs-3927	96	9	23	23	NUM
iajs-3927	96	10	)	)	PUNCT
iajs-3927	96	11	differentiate	differentiate	VERB
iajs-3927	96	12	both	both	DET
iajs-3927	96	13	sides	side	NOUN
iajs-3927	96	14	of	of	ADP
iajs-3927	96	15	equation	equation	NOUN
iajs-3927	96	16	22	22	NUM
iajs-3927	96	17	with	with	ADP
iajs-3927	96	18	respect	respect	NOUN
iajs-3927	96	19	to	to	ADP
iajs-3927	96	20	:	:	PUNCT
iajs-3927	96	21	∑	∑	ADP
iajs-3927	96	22	∑	∑	PUNCT
iajs-3927	96	23	∑	∑	PROPN
iajs-3927	96	24	∑	∑	PUNCT
iajs-3927	96	25	.	.	PUNCT
iajs-3927	97	1	we	we	PRON
iajs-3927	97	2	make	make	VERB
iajs-3927	97	3	,	,	PUNCT
iajs-3927	97	4	so	so	ADV
iajs-3927	97	5	we	we	PRON
iajs-3927	97	6	get	get	VERB
iajs-3927	97	7	∑	∑	PROPN
iajs-3927	97	8	∑	∑	PROPN
iajs-3927	97	9	∑	∑	PROPN
iajs-3927	97	10	∑	∑	PROPN
iajs-3927	97	11	.	.	PUNCT
iajs-3927	98	1	after	after	ADP
iajs-3927	98	2	simplification	simplification	NOUN
iajs-3927	98	3	,	,	PUNCT
iajs-3927	98	4	∑	∑	ADP
iajs-3927	98	5	∑	∑	PUNCT
iajs-3927	98	6	∑	∑	PROPN
iajs-3927	98	7	∑	∑	PROPN
iajs-3927	98	8	(	(	PUNCT
iajs-3927	98	9	24	24	NUM
iajs-3927	98	10	)	)	PUNCT
iajs-3927	98	11	differentiate	differentiate	VERB
iajs-3927	98	12	both	both	DET
iajs-3927	98	13	sides	side	NOUN
iajs-3927	98	14	of	of	ADP
iajs-3927	98	15	equation	equation	NOUN
iajs-3927	98	16	22	22	NUM
iajs-3927	98	17	with	with	ADP
iajs-3927	98	18	respect	respect	NOUN
iajs-3927	98	19	to	to	ADP
iajs-3927	98	20	.	.	PUNCT
iajs-3927	99	1	then	then	ADV
iajs-3927	99	2	ihjpas	ihjpa	VERB
iajs-3927	99	3	.	.	PUNCT
iajs-3927	100	1	2025,38(4	2025,38(4	NOUN
iajs-3927	100	2	)	)	PUNCT
iajs-3927	101	1	312	312	NUM
iajs-3927	101	2	∑	∑	PUNCT
iajs-3927	101	3	.	.	PUNCT
iajs-3927	102	1	also	also	ADV
iajs-3927	102	2	,	,	PUNCT
iajs-3927	102	3	∑	∑	ADP
iajs-3927	102	4	∑	∑	PUNCT
iajs-3927	102	5	∑	∑	PROPN
iajs-3927	102	6	∑	∑	PUNCT
iajs-3927	102	7	.	.	PUNCT
iajs-3927	103	1	set	set	VERB
iajs-3927	103	2	.	.	PUNCT
iajs-3927	104	1	then	then	ADV
iajs-3927	104	2	∑	∑	ADP
iajs-3927	104	3	∑	∑	PUNCT
iajs-3927	104	4	∑	∑	PROPN
iajs-3927	104	5	∑	∑	PUNCT
iajs-3927	104	6	.	.	PUNCT
iajs-3927	105	1	∑	∑	ADP
iajs-3927	105	2	∑	∑	PROPN
iajs-3927	105	3	∑	∑	PROPN
iajs-3927	105	4	∑	∑	PROPN
iajs-3927	105	5	(	(	PUNCT
iajs-3927	105	6	25	25	NUM
iajs-3927	105	7	)	)	PUNCT
iajs-3927	105	8	substitute	substitute	NOUN
iajs-3927	105	9	equation	equation	NOUN
iajs-3927	105	10	23	23	NUM
iajs-3927	105	11	in	in	ADP
iajs-3927	105	12	equation	equation	NOUN
iajs-3927	105	13	24	24	NUM
iajs-3927	105	14	to	to	PART
iajs-3927	105	15	get	get	VERB
iajs-3927	105	16	that	that	PRON
iajs-3927	105	17	∑	∑	ADP
iajs-3927	105	18	∑	∑	PROPN
iajs-3927	105	19	∑	∑	PROPN
iajs-3927	105	20	∑	∑	PROPN
iajs-3927	105	21	∑	∑	PROPN
iajs-3927	105	22	∑	∑	PROPN
iajs-3927	105	23	∑	∑	PROPN
iajs-3927	105	24	∑	∑	PUNCT
iajs-3927	105	25	.	.	PUNCT
iajs-3927	106	1	thus	thus	ADV
iajs-3927	106	2	,	,	PUNCT
iajs-3927	106	3	∑	∑	ADP
iajs-3927	106	4	∑	∑	PUNCT
iajs-3927	106	5	∑	∑	PROPN
iajs-3927	106	6	∑	∑	PROPN
iajs-3927	106	7	∑	∑	PROPN
iajs-3927	106	8	∑	∑	PROPN
iajs-3927	106	9	(	(	PUNCT
iajs-3927	106	10	26	26	NUM
iajs-3927	106	11	)	)	PUNCT
iajs-3927	106	12	hence	hence	ADV
iajs-3927	106	13	,	,	PUNCT
iajs-3927	106	14	,	,	PUNCT
iajs-3927	106	15	̂	̂	X
iajs-3927	106	16	∑	∑	PROPN
iajs-3927	106	17	∑	∑	PROPN
iajs-3927	106	18	∑	∑	PROPN
iajs-3927	106	19	∑	∑	PROPN
iajs-3927	106	20	∑	∑	PROPN
iajs-3927	106	21	∑	∑	PART
iajs-3927	106	22	.	.	PUNCT
iajs-3927	106	23	substitute	substitute	ADJ
iajs-3927	106	24	equation	equation	NOUN
iajs-3927	106	25	26	26	NUM
iajs-3927	106	26	in	in	ADP
iajs-3927	106	27	equation	equation	NOUN
iajs-3927	106	28	24	24	NUM
iajs-3927	106	29	then	then	ADV
iajs-3927	106	30	∑	∑	ADP
iajs-3927	106	31	∑	∑	PROPN
iajs-3927	106	32	∑	∑	PROPN
iajs-3927	106	33	∑	∑	PROPN
iajs-3927	106	34	∑	∑	PROPN
iajs-3927	106	35	∑	∑	PROPN
iajs-3927	106	36	∑	∑	PROPN
iajs-3927	106	37	∑	∑	PROPN
iajs-3927	106	38	∑	∑	PROPN
iajs-3927	106	39	∑	∑	PROPN
iajs-3927	106	40	that	that	PRON
iajs-3927	106	41	is	is	ADV
iajs-3927	106	42	∑	∑	PROPN
iajs-3927	106	43	∑	∑	PROPN
iajs-3927	106	44	∑	∑	PROPN
iajs-3927	106	45	∑	∑	PROPN
iajs-3927	106	46	∑	∑	PROPN
iajs-3927	106	47	(	(	PUNCT
iajs-3927	106	48	27	27	NUM
iajs-3927	106	49	)	)	PUNCT
iajs-3927	106	50	hence	hence	ADV
iajs-3927	106	51	,	,	PUNCT
iajs-3927	106	52	̂	̂	VERB
iajs-3927	106	53	∑	∑	PROPN
iajs-3927	106	54	∑	∑	PROPN
iajs-3927	106	55	∑	∑	PROPN
iajs-3927	106	56	∑	∑	PROPN
iajs-3927	106	57	∑	∑	PART
iajs-3927	106	58	.	.	PUNCT
iajs-3927	107	1	substitute	substitute	PROPN
iajs-3927	107	2	equations	equation	NOUN
iajs-3927	107	3	26	26	NUM
iajs-3927	107	4	and	and	CCONJ
iajs-3927	107	5	27	27	NUM
iajs-3927	107	6	in	in	ADP
iajs-3927	107	7	equation	equation	NOUN
iajs-3927	107	8	23	23	NUM
iajs-3927	107	9	to	to	PART
iajs-3927	107	10	consider	consider	VERB
iajs-3927	107	11	the	the	DET
iajs-3927	107	12	following	follow	VERB
iajs-3927	107	13	:	:	PUNCT
iajs-3927	107	14	̂	̂	PUNCT
iajs-3927	107	15	∑	∑	PROPN
iajs-3927	107	16	∑	∑	PROPN
iajs-3927	107	17	∑	∑	PROPN
iajs-3927	107	18	∑	∑	PROPN
iajs-3927	107	19	∑	∑	PROPN
iajs-3927	107	20	∑	∑	PROPN
iajs-3927	107	21	∑	∑	PROPN
iajs-3927	107	22	∑	∑	PROPN
iajs-3927	107	23	∑	∑	PROPN
iajs-3927	107	24	∑	∑	PROPN
iajs-3927	107	25	∑	∑	PROPN
iajs-3927	107	26	∑	∑	PROPN
iajs-3927	107	27	3.1	3.1	NUM
iajs-3927	107	28	.	.	PUNCT
iajs-3927	107	29	marginal	marginal	ADJ
iajs-3927	107	30	distribution	distribution	NOUN
iajs-3927	107	31	of	of	ADP
iajs-3927	107	32	ar	ar	PROPN
iajs-3927	107	33	time	time	PROPN
iajs-3927	107	34	series	series	PROPN
iajs-3927	107	35	in	in	ADP
iajs-3927	107	36	case	case	NOUN
iajs-3927	107	37	known	know	VERB
iajs-3927	107	38	error	error	NOUN
iajs-3927	107	39	distribution	distribution	NOUN
iajs-3927	107	40	in	in	ADP
iajs-3927	107	41	(	(	PUNCT
iajs-3927	107	42	23	23	NUM
iajs-3927	107	43	-	-	SYM
iajs-3927	107	44	26	26	NUM
iajs-3927	107	45	)	)	PUNCT
iajs-3927	107	46	,	,	PUNCT
iajs-3927	107	47	the	the	DET
iajs-3927	107	48	general	general	ADJ
iajs-3927	107	49	form	form	NOUN
iajs-3927	107	50	for	for	ADP
iajs-3927	107	51	the	the	DET
iajs-3927	107	52	random	random	ADJ
iajs-3927	107	53	shock	shock	NOUN
iajs-3927	107	54	form	form	NOUN
iajs-3927	107	55	is	be	AUX
iajs-3927	107	56	(	(	PUNCT
iajs-3927	107	57	28	28	NUM
iajs-3927	107	58	)	)	PUNCT
iajs-3927	107	59	where	where	SCONJ
iajs-3927	107	60	is	be	AUX
iajs-3927	107	61	a	a	DET
iajs-3927	107	62	random	random	ADJ
iajs-3927	107	63	error	error	NOUN
iajs-3927	107	64	,	,	PUNCT
iajs-3927	107	65	,	,	PUNCT
iajs-3927	107	66	and	and	CCONJ
iajs-3927	107	67	is	be	AUX
iajs-3927	107	68	a	a	DET
iajs-3927	107	69	back	back	ADJ
iajs-3927	107	70	shift	shift	NOUN
iajs-3927	107	71	operator	operator	NOUN
iajs-3927	107	72	that	that	PRON
iajs-3927	107	73	is	be	AUX
iajs-3927	107	74	(	(	PUNCT
iajs-3927	107	75	)	)	PUNCT
iajs-3927	107	76	then	then	ADV
iajs-3927	107	77	.	.	PUNCT
iajs-3927	108	1	using	use	VERB
iajs-3927	108	2	back	back	ADP
iajs-3927	108	3	shift	shift	NOUN
iajs-3927	108	4	operator	operator	NOUN
iajs-3927	108	5	,	,	PUNCT
iajs-3927	108	6	give	give	VERB
iajs-3927	108	7	us	we	PRON
iajs-3927	108	8	then	then	ADV
iajs-3927	108	9	∑	∑	CCONJ
iajs-3927	108	10	,	,	PUNCT
iajs-3927	108	11	where	where	SCONJ
iajs-3927	108	12	.	.	PUNCT
iajs-3927	109	1	since	since	SCONJ
iajs-3927	109	2	(	(	PUNCT
iajs-3927	109	3	29	29	NUM
iajs-3927	109	4	)	)	PUNCT
iajs-3927	109	5	substituting	substitute	VERB
iajs-3927	109	6	equation	equation	NOUN
iajs-3927	109	7	28	28	NUM
iajs-3927	109	8	in	in	ADP
iajs-3927	109	9	equation	equation	NOUN
iajs-3927	109	10	29	29	NUM
iajs-3927	109	11	,	,	PUNCT
iajs-3927	109	12	we	we	PRON
iajs-3927	109	13	get	get	VERB
iajs-3927	109	14	(	(	PUNCT
iajs-3927	109	15	of	of	ADP
iajs-3927	109	16	(	(	PUNCT
iajs-3927	109	17	hence	hence	ADV
iajs-3927	109	18	,	,	PUNCT
iajs-3927	109	19	ihjpas	ihjpas	PROPN
iajs-3927	109	20	.	.	PUNCT
iajs-3927	110	1	2025,38(4	2025,38(4	X
iajs-3927	110	2	)	)	PUNCT
iajs-3927	110	3	313	313	NUM
iajs-3927	110	4	∑	∑	SYM
iajs-3927	110	5	(	(	PUNCT
iajs-3927	110	6	30	30	NUM
iajs-3927	110	7	)	)	PUNCT
iajs-3927	110	8	of	of	ADP
iajs-3927	110	9	(	(	PUNCT
iajs-3927	110	10	then	then	ADV
iajs-3927	110	11	,	,	PUNCT
iajs-3927	110	12	,	,	PUNCT
iajs-3927	110	13	∑	∑	ADP
iajs-3927	110	14	where	where	SCONJ
iajs-3927	110	15	(	(	PUNCT
iajs-3927	110	16	31	31	NUM
iajs-3927	110	17	)	)	PUNCT
iajs-3927	110	18	of	of	ADP
iajs-3927	110	19	(	(	PUNCT
iajs-3927	110	20	+	+	CCONJ
iajs-3927	110	21	then	then	ADV
iajs-3927	110	22	,	,	PUNCT
iajs-3927	110	23	∑	∑	PUNCT
iajs-3927	110	24	(	(	PUNCT
iajs-3927	110	25	)	)	PUNCT
iajs-3927	110	26	where	where	SCONJ
iajs-3927	110	27	and	and	CCONJ
iajs-3927	110	28	(	(	PUNCT
iajs-3927	110	29	32	32	NUM
iajs-3927	110	30	)	)	PUNCT
iajs-3927	110	31	assuming	assume	VERB
iajs-3927	110	32	that	that	PRON
iajs-3927	110	33	represents	represent	VERB
iajs-3927	110	34	random	random	ADJ
iajs-3927	110	35	errors	error	NOUN
iajs-3927	110	36	that	that	PRON
iajs-3927	110	37	are	be	AUX
iajs-3927	110	38	uniformly	uniformly	ADV
iajs-3927	110	39	distributed	distribute	VERB
iajs-3927	110	40	.	.	PUNCT
iajs-3927	111	1	it	it	PRON
iajs-3927	111	2	received	receive	VERB
iajs-3927	111	3	a	a	DET
iajs-3927	111	4	mean	mean	NOUN
iajs-3927	111	5	of	of	ADP
iajs-3927	111	6	zero	zero	NUM
iajs-3927	111	7	and	and	CCONJ
iajs-3927	111	8	a	a	DET
iajs-3927	111	9	variance	variance	NOUN
iajs-3927	111	10	of	of	ADP
iajs-3927	111	11	that	that	PRON
iajs-3927	111	12	is	be	AUX
iajs-3927	111	13	it	it	PRON
iajs-3927	111	14	finds	find	VERB
iajs-3927	111	15	the	the	DET
iajs-3927	111	16	marginal	marginal	ADJ
iajs-3927	111	17	distribution	distribution	NOUN
iajs-3927	111	18	for	for	ADP
iajs-3927	111	19	{	{	PUNCT
iajs-3927	111	20	by	by	ADP
iajs-3927	111	21	using	use	VERB
iajs-3927	111	22	the	the	DET
iajs-3927	111	23	characteristic	characteristic	ADJ
iajs-3927	111	24	function	function	NOUN
iajs-3927	111	25	if	if	SCONJ
iajs-3927	111	26	the	the	DET
iajs-3927	111	27	data	datum	NOUN
iajs-3927	111	28	follow	follow	VERB
iajs-3927	111	29	the	the	DET
iajs-3927	111	30	autoregressive	autoregressive	ADJ
iajs-3927	111	31	model	model	NOUN
iajs-3927	111	32	.	.	PUNCT
iajs-3927	112	1	the	the	DET
iajs-3927	112	2	model	model	NOUN
iajs-3927	112	3	can	can	AUX
iajs-3927	112	4	be	be	AUX
iajs-3927	112	5	written	write	VERB
iajs-3927	112	6	in	in	ADP
iajs-3927	112	7	terms	term	NOUN
iajs-3927	112	8	of	of	ADP
iajs-3927	112	9	random	random	ADJ
iajs-3927	112	10	errors	error	NOUN
iajs-3927	112	11	according	accord	VERB
iajs-3927	112	12	to	to	ADP
iajs-3927	112	13	equations	equation	NOUN
iajs-3927	112	14	30	30	NUM
iajs-3927	112	15	,	,	PUNCT
iajs-3927	112	16	31	31	NUM
iajs-3927	112	17	,	,	PUNCT
iajs-3927	112	18	32	32	NUM
iajs-3927	112	19	,	,	PUNCT
iajs-3927	112	20	and	and	CCONJ
iajs-3927	112	21	(	(	PUNCT
iajs-3927	112	22	)	)	PUNCT
iajs-3927	112	23	.	.	PUNCT
iajs-3927	113	1	for	for	SCONJ
iajs-3927	113	2	we	we	PRON
iajs-3927	113	3	have	have	VERB
iajs-3927	113	4	the	the	DET
iajs-3927	113	5	following	follow	VERB
iajs-3927	113	6	cases	case	NOUN
iajs-3927	113	7	:	:	PUNCT
iajs-3927	113	8	of	of	ADP
iajs-3927	113	9	ar(1	ar(1	NOUN
iajs-3927	113	10	)	)	PUNCT
iajs-3927	113	11	[	[	PUNCT
iajs-3927	113	12	]	]	X
iajs-3927	113	13	*	*	PUNCT
iajs-3927	113	14	∑	∑	PUNCT
iajs-3927	114	1	+	+	PUNCT
iajs-3927	114	2	[	[	PUNCT
iajs-3927	114	3	]	]	X
iajs-3927	114	4	.	.	PUNCT
iajs-3927	115	1	so	so	ADV
iajs-3927	115	2	,	,	PUNCT
iajs-3927	115	3	∏	∏	PROPN
iajs-3927	115	4	when	when	SCONJ
iajs-3927	115	5	{	{	PUNCT
iajs-3927	115	6	the	the	DET
iajs-3927	115	7	character	character	NOUN
iajs-3927	115	8	function	function	VERB
iajs-3927	115	9	for	for	ADP
iajs-3927	115	10	errors	error	NOUN
iajs-3927	115	11	will	will	AUX
iajs-3927	115	12	be	be	AUX
iajs-3927	115	13	∏	∏	PROPN
iajs-3927	115	14	,	,	PUNCT
iajs-3927	115	15	where	where	SCONJ
iajs-3927	115	16	∏	∏	X
iajs-3927	115	17	=	=	SYM
iajs-3927	115	18	(	(	PUNCT
iajs-3927	115	19	33	33	NUM
iajs-3927	115	20	)	)	PUNCT
iajs-3927	115	21	then	then	ADV
iajs-3927	115	22	,	,	PUNCT
iajs-3927	115	23	(	(	PUNCT
iajs-3927	115	24	)	)	PUNCT
iajs-3927	115	25	of	of	ADP
iajs-3927	115	26	ar(2	ar(2	NOUN
iajs-3927	115	27	)	)	PUNCT
iajs-3927	115	28	since	since	SCONJ
iajs-3927	115	29	∑	∑	ADV
iajs-3927	115	30	then	then	ADV
iajs-3927	115	31	[	[	PUNCT
iajs-3927	115	32	]	]	X
iajs-3927	115	33	*	*	PUNCT
iajs-3927	115	34	∑	∑	PUNCT
iajs-3927	115	35	+	+	PUNCT
iajs-3927	115	36	*	*	PUNCT
iajs-3927	115	37	(	(	PUNCT
iajs-3927	115	38	(	(	PUNCT
iajs-3927	115	39	)	)	PUNCT
iajs-3927	115	40	)	)	PUNCT
iajs-3927	116	1	+	+	PUNCT
iajs-3927	116	2	=	=	SYM
iajs-3927	116	3	*	*	PUNCT
iajs-3927	116	4	(	(	PUNCT
iajs-3927	116	5	)	)	PUNCT
iajs-3927	117	1	+	+	X
iajs-3927	117	2	.	.	NOUN
iajs-3927	117	3	*	*	PUNCT
iajs-3927	117	4	(	(	PUNCT
iajs-3927	117	5	(	(	PUNCT
iajs-3927	117	6	)	)	PUNCT
iajs-3927	117	7	)	)	PUNCT
iajs-3927	118	1	+	+	PROPN
iajs-3927	118	2	.	.	X
iajs-3927	118	3	∏	∏	PROPN
iajs-3927	118	4	(	(	PUNCT
iajs-3927	118	5	(	(	PUNCT
iajs-3927	118	6	)	)	PUNCT
iajs-3927	118	7	)	)	PUNCT
iajs-3927	118	8	(	(	PUNCT
iajs-3927	118	9	34	34	NUM
iajs-3927	118	10	)	)	PUNCT
iajs-3927	118	11	when	when	SCONJ
iajs-3927	118	12	{	{	PUNCT
iajs-3927	118	13	for	for	ADP
iajs-3927	118	14	errors	error	NOUN
iajs-3927	118	15	is	be	AUX
iajs-3927	118	16	ihjpas	ihjpa	NOUN
iajs-3927	118	17	.	.	PUNCT
iajs-3927	118	18	2025,38(4	2025,38(4	X
iajs-3927	118	19	)	)	PUNCT
iajs-3927	118	20	314	314	NUM
iajs-3927	118	21	hence	hence	ADV
iajs-3927	118	22	,	,	PUNCT
iajs-3927	118	23	∏	∏	PROPN
iajs-3927	118	24	(	(	PUNCT
iajs-3927	118	25	(	(	PUNCT
iajs-3927	118	26	)	)	PUNCT
iajs-3927	118	27	)	)	PUNCT
iajs-3927	119	1	[	[	PUNCT
iajs-3927	119	2	]	]	X
iajs-3927	119	3	(	(	PUNCT
iajs-3927	119	4	35	35	NUM
iajs-3927	119	5	)	)	PUNCT
iajs-3927	119	6	then	then	ADV
iajs-3927	119	7	,	,	PUNCT
iajs-3927	119	8	(	(	PUNCT
iajs-3927	119	9	(	(	PUNCT
iajs-3927	119	10	)	)	PUNCT
iajs-3927	119	11	)	)	PUNCT
iajs-3927	119	12	of	of	ADP
iajs-3927	119	13	ar(3	ar(3	NOUN
iajs-3927	119	14	)	)	PUNCT
iajs-3927	119	15	since	since	SCONJ
iajs-3927	119	16	∑	∑	PROPN
iajs-3927	119	17	(	(	PUNCT
iajs-3927	119	18	)	)	PUNCT
iajs-3927	119	19	.then	.then	PUNCT
iajs-3927	119	20	[	[	PUNCT
iajs-3927	119	21	]	]	X
iajs-3927	119	22	*	*	PUNCT
iajs-3927	119	23	∑	∑	PUNCT
iajs-3927	119	24	(	(	PUNCT
iajs-3927	119	25	)	)	PUNCT
iajs-3927	120	1	+	+	CCONJ
iajs-3927	120	2	then	then	ADV
iajs-3927	120	3	,	,	PUNCT
iajs-3927	120	4	*	*	PUNCT
iajs-3927	120	5	(	(	PUNCT
iajs-3927	120	6	(	(	PUNCT
iajs-3927	120	7	)	)	PUNCT
iajs-3927	120	8	)	)	PUNCT
iajs-3927	121	1	+	+	CCONJ
iajs-3927	121	2	hence	hence	ADV
iajs-3927	121	3	,	,	PUNCT
iajs-3927	121	4	∏	∏	PROPN
iajs-3927	121	5	(	(	PUNCT
iajs-3927	121	6	)	)	PUNCT
iajs-3927	121	7	(	(	PUNCT
iajs-3927	121	8	36	36	NUM
iajs-3927	121	9	)	)	PUNCT
iajs-3927	121	10	where	where	SCONJ
iajs-3927	121	11	{	{	PUNCT
iajs-3927	121	12	for	for	ADP
iajs-3927	121	13	errors	error	NOUN
iajs-3927	121	14	is	be	AUX
iajs-3927	121	15	hence	hence	ADV
iajs-3927	121	16	,	,	PUNCT
iajs-3927	121	17	∏	∏	PROPN
iajs-3927	121	18	.	.	PUNCT
iajs-3927	122	1	(	(	PUNCT
iajs-3927	122	2	)	)	PUNCT
iajs-3927	122	3	/	/	SYM
iajs-3927	122	4	[	[	PUNCT
iajs-3927	122	5	]	]	X
iajs-3927	122	6	(	(	PUNCT
iajs-3927	122	7	37	37	NUM
iajs-3927	122	8	)	)	PUNCT
iajs-3927	122	9	then	then	ADV
iajs-3927	122	10	,	,	PUNCT
iajs-3927	122	11	(	(	PUNCT
iajs-3927	122	12	(	(	PUNCT
iajs-3927	122	13	)	)	PUNCT
iajs-3927	122	14	)	)	PUNCT
iajs-3927	122	15	.	.	PUNCT
iajs-3927	123	1	3.2	3.2	NUM
iajs-3927	123	2	maximum	maximum	ADJ
iajs-3927	123	3	likelihood	likelihood	NOUN
iajs-3927	123	4	function	function	NOUN
iajs-3927	123	5	with	with	ADP
iajs-3927	123	6	marginal	marginal	ADJ
iajs-3927	123	7	distribution	distribution	NOUN
iajs-3927	123	8	the	the	DET
iajs-3927	123	9	normal	normal	ADJ
iajs-3927	123	10	distribution	distribution	NOUN
iajs-3927	123	11	function	function	NOUN
iajs-3927	123	12	is	be	AUX
iajs-3927	123	13	√	√	VERB
iajs-3927	123	14	where	where	SCONJ
iajs-3927	123	15	by	by	ADP
iajs-3927	123	16	using	use	VERB
iajs-3927	123	17	marginal	marginal	ADJ
iajs-3927	123	18	distribution	distribution	NOUN
iajs-3927	123	19	for	for	ADP
iajs-3927	123	20	when	when	SCONJ
iajs-3927	123	21	and	and	CCONJ
iajs-3927	123	22	,	,	PUNCT
iajs-3927	123	23	where	where	SCONJ
iajs-3927	123	24	is	be	AUX
iajs-3927	123	25	normal	normal	ADJ
iajs-3927	123	26	distribution	distribution	NOUN
iajs-3927	123	27	by	by	ADP
iajs-3927	123	28	mean	mean	NOUN
iajs-3927	123	29	zero	zero	NUM
iajs-3927	123	30	and	and	CCONJ
iajs-3927	123	31	variance	variance	NOUN
iajs-3927	123	32	(	(	PUNCT
iajs-3927	123	33	27	27	NUM
iajs-3927	123	34	-	-	SYM
iajs-3927	123	35	30	30	NUM
iajs-3927	123	36	)	)	PUNCT
iajs-3927	123	37	.	.	PUNCT
iajs-3927	124	1	the	the	DET
iajs-3927	124	2	maximum	maximum	ADJ
iajs-3927	124	3	likelihood	likelihood	NOUN
iajs-3927	124	4	function	function	NOUN
iajs-3927	124	5	when	when	SCONJ
iajs-3927	124	6	and	and	CCONJ
iajs-3927	124	7	√	√	INTJ
iajs-3927	124	8	where	where	SCONJ
iajs-3927	124	9	=	=	AUX
iajs-3927	124	10	∏	∏	X
iajs-3927	124	11	(	(	PUNCT
iajs-3927	124	12	)	)	PUNCT
iajs-3927	124	13	∑	∑	PROPN
iajs-3927	124	14	(	(	PUNCT
iajs-3927	124	15	38	38	NUM
iajs-3927	124	16	)	)	PUNCT
iajs-3927	124	17	the	the	DET
iajs-3927	124	18	log	log	NOUN
iajs-3927	124	19	likelihood	likelihood	NOUN
iajs-3927	124	20	of	of	ADP
iajs-3927	124	21	equation	equation	NOUN
iajs-3927	124	22	38	38	NUM
iajs-3927	124	23	is	be	AUX
iajs-3927	124	24	:	:	PUNCT
iajs-3927	124	25	.	.	PUNCT
iajs-3927	124	26	/	/	PUNCT
iajs-3927	125	1	∑	∑	PROPN
iajs-3927	125	2	(	(	PUNCT
iajs-3927	125	3	)	)	PUNCT
iajs-3927	125	4	∑	∑	PUNCT
iajs-3927	125	5	(	(	PUNCT
iajs-3927	125	6	39	39	NUM
iajs-3927	125	7	)	)	PUNCT
iajs-3927	125	8	differentiate	differentiate	VERB
iajs-3927	125	9	both	both	DET
iajs-3927	125	10	sides	side	NOUN
iajs-3927	125	11	of	of	ADP
iajs-3927	125	12	equation	equation	NOUN
iajs-3927	125	13	39	39	NUM
iajs-3927	125	14	with	with	ADP
iajs-3927	125	15	respect	respect	NOUN
iajs-3927	125	16	to	to	ADP
iajs-3927	125	17	.	.	PUNCT
iajs-3927	126	1	∑	∑	PROPN
iajs-3927	126	2	∑	∑	PROPN
iajs-3927	126	3	(	(	PUNCT
iajs-3927	126	4	40	40	NUM
iajs-3927	126	5	)	)	PUNCT
iajs-3927	126	6	make	make	VERB
iajs-3927	126	7	equation	equation	NOUN
iajs-3927	126	8	40	40	NUM
iajs-3927	126	9	equals	equal	VERB
iajs-3927	126	10	to	to	ADP
iajs-3927	126	11	zero	zero	NUM
iajs-3927	126	12	.	.	PUNCT
iajs-3927	127	1	∑	∑	ADP
iajs-3927	127	2	∑	∑	PROPN
iajs-3927	127	3	∑	∑	PUNCT
iajs-3927	127	4	ihjpas	ihjpas	PROPN
iajs-3927	127	5	.	.	PUNCT
iajs-3927	128	1	2025,38(4	2025,38(4	X
iajs-3927	128	2	)	)	PUNCT
iajs-3927	129	1	315	315	NUM
iajs-3927	129	2	then	then	ADV
iajs-3927	129	3	,	,	PUNCT
iajs-3927	129	4	∑	∑	ADP
iajs-3927	129	5	∑	∑	ADP
iajs-3927	129	6	√	√	PROPN
iajs-3927	129	7	∑	∑	PROPN
iajs-3927	129	8	∑	∑	PUNCT
iajs-3927	129	9	̂	̂	PUNCT
iajs-3927	129	10	√	√	ADP
iajs-3927	129	11	∑	∑	PROPN
iajs-3927	129	12	∑	∑	PROPN
iajs-3927	129	13	the	the	DET
iajs-3927	129	14	maximum	maximum	ADJ
iajs-3927	129	15	likelihood	likelihood	NOUN
iajs-3927	129	16	function	function	NOUN
iajs-3927	129	17	when	when	SCONJ
iajs-3927	129	18	and	and	CCONJ
iajs-3927	129	19	(	(	PUNCT
iajs-3927	129	20	)	)	PUNCT
iajs-3927	129	21	√	√	ADP
iajs-3927	130	1	where	where	SCONJ
iajs-3927	130	2	=	=	AUX
iajs-3927	130	3	∏	∏	X
iajs-3927	130	4	(	(	PUNCT
iajs-3927	130	5	(	(	PUNCT
iajs-3927	130	6	)	)	PUNCT
iajs-3927	130	7	)	)	PUNCT
iajs-3927	130	8	∑	∑	PUNCT
iajs-3927	130	9	(	(	PUNCT
iajs-3927	130	10	)	)	PUNCT
iajs-3927	130	11	(	(	PUNCT
iajs-3927	130	12	41	41	NUM
iajs-3927	130	13	)	)	PUNCT
iajs-3927	130	14	the	the	DET
iajs-3927	130	15	log	log	NOUN
iajs-3927	130	16	likelihood	likelihood	NOUN
iajs-3927	130	17	of	of	ADP
iajs-3927	130	18	equation	equation	NOUN
iajs-3927	130	19	41	41	NUM
iajs-3927	130	20	is	be	AUX
iajs-3927	130	21	.	.	PUNCT
iajs-3927	131	1	(	(	PUNCT
iajs-3927	131	2	)	)	PUNCT
iajs-3927	131	3	/	/	SYM
iajs-3927	131	4	∑	∑	PROPN
iajs-3927	131	5	(	(	PUNCT
iajs-3927	131	6	)	)	PUNCT
iajs-3927	131	7	(	(	PUNCT
iajs-3927	131	8	)	)	PUNCT
iajs-3927	131	9	(	(	PUNCT
iajs-3927	131	10	(	(	PUNCT
iajs-3927	131	11	)	)	PUNCT
iajs-3927	131	12	)	)	PUNCT
iajs-3927	131	13	∑	∑	PUNCT
iajs-3927	131	14	.	.	PUNCT
iajs-3927	132	1	(	(	PUNCT
iajs-3927	132	2	)	)	PUNCT
iajs-3927	132	3	/	/	SYM
iajs-3927	132	4	(	(	PUNCT
iajs-3927	132	5	)	)	PUNCT
iajs-3927	132	6	(	(	PUNCT
iajs-3927	132	7	(	(	PUNCT
iajs-3927	132	8	)	)	PUNCT
iajs-3927	132	9	)	)	PUNCT
iajs-3927	132	10	∑	∑	PUNCT
iajs-3927	132	11	.	.	PUNCT
iajs-3927	133	1	(	(	PUNCT
iajs-3927	133	2	)	)	PUNCT
iajs-3927	133	3	/	/	SYM
iajs-3927	133	4	(	(	PUNCT
iajs-3927	133	5	42	42	NUM
iajs-3927	133	6	)	)	PUNCT
iajs-3927	133	7	differentiate	differentiate	VERB
iajs-3927	133	8	both	both	DET
iajs-3927	133	9	sides	side	NOUN
iajs-3927	133	10	of	of	ADP
iajs-3927	133	11	equation	equation	NOUN
iajs-3927	133	12	42	42	NUM
iajs-3927	133	13	with	with	ADP
iajs-3927	133	14	respect	respect	NOUN
iajs-3927	133	15	to	to	ADP
iajs-3927	133	16	.	.	PUNCT
iajs-3927	134	1	(	(	PUNCT
iajs-3927	134	2	)	)	PUNCT
iajs-3927	134	3	∑	∑	VERB
iajs-3927	134	4	by	by	ADP
iajs-3927	134	5	simplification	simplification	NOUN
iajs-3927	134	6	,	,	PUNCT
iajs-3927	134	7	(	(	PUNCT
iajs-3927	134	8	)	)	PUNCT
iajs-3927	134	9	∑	∑	PROPN
iajs-3927	134	10	(	(	PUNCT
iajs-3927	134	11	43	43	NUM
iajs-3927	134	12	)	)	PUNCT
iajs-3927	134	13	make	make	VERB
iajs-3927	134	14	equation	equation	NOUN
iajs-3927	134	15	43	43	NUM
iajs-3927	134	16	equals	equal	VERB
iajs-3927	134	17	to	to	ADP
iajs-3927	134	18	zero	zero	NUM
iajs-3927	134	19	.	.	PUNCT
iajs-3927	135	1	(	(	PUNCT
iajs-3927	135	2	)	)	PUNCT
iajs-3927	135	3	∑	∑	PUNCT
iajs-3927	135	4	=	=	SYM
iajs-3927	135	5	0	0	PUNCT
iajs-3927	135	6	(	(	PUNCT
iajs-3927	135	7	)	)	PUNCT
iajs-3927	135	8	∑	∑	PROPN
iajs-3927	135	9	(	(	PUNCT
iajs-3927	135	10	)	)	PUNCT
iajs-3927	135	11	∑	∑	PROPN
iajs-3927	135	12	(	(	PUNCT
iajs-3927	135	13	44	44	NUM
iajs-3927	135	14	)	)	PUNCT
iajs-3927	135	15	differentiate	differentiate	VERB
iajs-3927	135	16	both	both	DET
iajs-3927	135	17	sides	side	NOUN
iajs-3927	135	18	of	of	ADP
iajs-3927	135	19	equation	equation	NOUN
iajs-3927	135	20	42	42	NUM
iajs-3927	135	21	with	with	ADP
iajs-3927	135	22	respect	respect	NOUN
iajs-3927	135	23	to	to	ADP
iajs-3927	135	24	.	.	PUNCT
iajs-3927	136	1	∑	∑	PROPN
iajs-3927	136	2	∑	∑	PROPN
iajs-3927	136	3	(	(	PUNCT
iajs-3927	136	4	45	45	NUM
iajs-3927	136	5	)	)	PUNCT
iajs-3927	136	6	make	make	VERB
iajs-3927	136	7	equation	equation	NOUN
iajs-3927	136	8	45	45	NUM
iajs-3927	136	9	equals	equal	VERB
iajs-3927	136	10	to	to	ADP
iajs-3927	136	11	zero	zero	NUM
iajs-3927	136	12	,	,	PUNCT
iajs-3927	136	13	∑	∑	ADV
iajs-3927	136	14	∑	∑	PUNCT
iajs-3927	136	15	∑	∑	ADP
iajs-3927	136	16	hence	hence	ADV
iajs-3927	136	17	,	,	PUNCT
iajs-3927	136	18	∑	∑	ADV
iajs-3927	136	19	∑	∑	PUNCT
iajs-3927	136	20	(	(	PUNCT
iajs-3927	136	21	46	46	NUM
iajs-3927	136	22	)	)	PUNCT
iajs-3927	136	23	substitute	substitute	NOUN
iajs-3927	136	24	equation	equation	NOUN
iajs-3927	136	25	44	44	NUM
iajs-3927	136	26	in	in	ADP
iajs-3927	136	27	equation	equation	NOUN
iajs-3927	136	28	46	46	NUM
iajs-3927	136	29	;	;	PUNCT
iajs-3927	136	30	(	(	PUNCT
iajs-3927	136	31	(	(	PUNCT
iajs-3927	136	32	)	)	PUNCT
iajs-3927	136	33	∑	∑	PUNCT
iajs-3927	136	34	)	)	PUNCT
iajs-3927	136	35	(	(	PUNCT
iajs-3927	136	36	∑	∑	INTJ
iajs-3927	136	37	∑	∑	PRON
iajs-3927	136	38	)	)	PUNCT
iajs-3927	136	39	ihjpas	ihjpas	PROPN
iajs-3927	136	40	.	.	PUNCT
iajs-3927	137	1	2025,38(4	2025,38(4	X
iajs-3927	137	2	)	)	PUNCT
iajs-3927	137	3	316	316	NUM
iajs-3927	137	4	∑	∑	PROPN
iajs-3927	137	5	∑	∑	ADV
iajs-3927	137	6	after	after	ADP
iajs-3927	137	7	simplification	simplification	NOUN
iajs-3927	137	8	,	,	PUNCT
iajs-3927	137	9	∑	∑	ADP
iajs-3927	137	10	∑	∑	PUNCT
iajs-3927	137	11	̂	̂	PUNCT
iajs-3927	137	12	∑	∑	PROPN
iajs-3927	137	13	∑	∑	PROPN
iajs-3927	137	14	(	(	PUNCT
iajs-3927	137	15	47	47	NUM
iajs-3927	137	16	)	)	PUNCT
iajs-3927	137	17	substitute	substitute	NOUN
iajs-3927	137	18	equation	equation	NOUN
iajs-3927	137	19	47	47	NUM
iajs-3927	137	20	in	in	ADP
iajs-3927	137	21	equation	equation	NOUN
iajs-3927	137	22	46	46	NUM
iajs-3927	137	23	.	.	PUNCT
iajs-3927	138	1	∑	∑	ADV
iajs-3927	138	2	∑	∑	PROPN
iajs-3927	138	3	/	/	SYM
iajs-3927	138	4	∑	∑	PROPN
iajs-3927	138	5	.	.	PUNCT
iajs-3927	139	1	∑	∑	PROPN
iajs-3927	139	2	∑	∑	PROPN
iajs-3927	139	3	/∑	/∑	SYM
iajs-3927	139	4	∑	∑	ADP
iajs-3927	139	5	∑	∑	PUNCT
iajs-3927	139	6	∑	∑	PROPN
iajs-3927	139	7	∑	∑	ADV
iajs-3927	139	8	hence	hence	ADV
iajs-3927	139	9	,	,	PUNCT
iajs-3927	139	10	̂	̂	X
iajs-3927	139	11	(	(	PUNCT
iajs-3927	139	12	∑	∑	PROPN
iajs-3927	139	13	)	)	PUNCT
iajs-3927	139	14	∑	∑	PROPN
iajs-3927	139	15	(	(	PUNCT
iajs-3927	139	16	∑	∑	PROPN
iajs-3927	139	17	)	)	PUNCT
iajs-3927	139	18	(	(	PUNCT
iajs-3927	139	19	∑	∑	PUNCT
iajs-3927	139	20	)	)	PUNCT
iajs-3927	139	21	the	the	DET
iajs-3927	139	22	maximum	maximum	ADJ
iajs-3927	139	23	likelihood	likelihood	NOUN
iajs-3927	139	24	function	function	NOUN
iajs-3927	139	25	when	when	SCONJ
iajs-3927	139	26	and	and	CCONJ
iajs-3927	139	27	(	(	PUNCT
iajs-3927	139	28	)	)	PUNCT
iajs-3927	139	29	√	√	ADP
iajs-3927	139	30	where	where	SCONJ
iajs-3927	139	31	=	=	AUX
iajs-3927	139	32	∏	∏	X
iajs-3927	139	33	(	(	PUNCT
iajs-3927	139	34	(	(	PUNCT
iajs-3927	139	35	)	)	PUNCT
iajs-3927	139	36	)	)	PUNCT
iajs-3927	139	37	∑	∑	PUNCT
iajs-3927	139	38	(	(	PUNCT
iajs-3927	139	39	)	)	PUNCT
iajs-3927	139	40	(	(	PUNCT
iajs-3927	139	41	48	48	NUM
iajs-3927	139	42	)	)	PUNCT
iajs-3927	139	43	the	the	DET
iajs-3927	139	44	log	log	NOUN
iajs-3927	139	45	likelihood	likelihood	NOUN
iajs-3927	139	46	of	of	ADP
iajs-3927	139	47	equation	equation	NOUN
iajs-3927	139	48	41	41	NUM
iajs-3927	139	49	is	be	AUX
iajs-3927	139	50	.	.	PUNCT
iajs-3927	140	1	(	(	PUNCT
iajs-3927	140	2	)	)	PUNCT
iajs-3927	140	3	/	/	SYM
iajs-3927	140	4	∑	∑	PROPN
iajs-3927	140	5	(	(	PUNCT
iajs-3927	140	6	)	)	PUNCT
iajs-3927	140	7	(	(	PUNCT
iajs-3927	140	8	)	)	PUNCT
iajs-3927	140	9	(	(	PUNCT
iajs-3927	140	10	(	(	PUNCT
iajs-3927	140	11	)	)	PUNCT
iajs-3927	140	12	)	)	PUNCT
iajs-3927	140	13	∑	∑	PUNCT
iajs-3927	140	14	.	.	PUNCT
iajs-3927	141	1	(	(	PUNCT
iajs-3927	141	2	)	)	PUNCT
iajs-3927	141	3	/	/	SYM
iajs-3927	141	4	(	(	PUNCT
iajs-3927	141	5	)	)	PUNCT
iajs-3927	141	6	(	(	PUNCT
iajs-3927	141	7	(	(	PUNCT
iajs-3927	141	8	)	)	PUNCT
iajs-3927	141	9	)	)	PUNCT
iajs-3927	141	10	∑	∑	PUNCT
iajs-3927	141	11	.	.	PUNCT
iajs-3927	142	1	(	(	PUNCT
iajs-3927	142	2	)	)	PUNCT
iajs-3927	142	3	/	/	SYM
iajs-3927	142	4	(	(	PUNCT
iajs-3927	142	5	49	49	NUM
iajs-3927	142	6	)	)	PUNCT
iajs-3927	142	7	differentiate	differentiate	VERB
iajs-3927	142	8	both	both	DET
iajs-3927	142	9	sides	side	NOUN
iajs-3927	142	10	of	of	ADP
iajs-3927	142	11	equation	equation	NOUN
iajs-3927	142	12	49	49	NUM
iajs-3927	142	13	with	with	ADP
iajs-3927	142	14	respect	respect	NOUN
iajs-3927	142	15	to	to	ADP
iajs-3927	142	16	.	.	PUNCT
iajs-3927	143	1	(	(	PUNCT
iajs-3927	143	2	)	)	PUNCT
iajs-3927	143	3	(	(	PUNCT
iajs-3927	143	4	(	(	PUNCT
iajs-3927	143	5	)	)	PUNCT
iajs-3927	143	6	(	(	PUNCT
iajs-3927	143	7	)	)	PUNCT
iajs-3927	143	8	)	)	PUNCT
iajs-3927	143	9	∑	∑	PROPN
iajs-3927	143	10	(	(	PUNCT
iajs-3927	143	11	)	)	PUNCT
iajs-3927	143	12	by	by	ADP
iajs-3927	143	13	simplification	simplification	NOUN
iajs-3927	143	14	,	,	PUNCT
iajs-3927	143	15	(	(	PUNCT
iajs-3927	143	16	)	)	PUNCT
iajs-3927	143	17	(	(	PUNCT
iajs-3927	143	18	)	)	PUNCT
iajs-3927	143	19	∑	∑	ADP
iajs-3927	143	20	∑	∑	PUNCT
iajs-3927	143	21	(	(	PUNCT
iajs-3927	143	22	)	)	PUNCT
iajs-3927	143	23	(	(	PUNCT
iajs-3927	143	24	)	)	PUNCT
iajs-3927	143	25	(	(	PUNCT
iajs-3927	143	26	50	50	NUM
iajs-3927	143	27	)	)	PUNCT
iajs-3927	143	28	make	make	VERB
iajs-3927	143	29	equation	equation	NOUN
iajs-3927	143	30	50	50	NUM
iajs-3927	143	31	equals	equal	VERB
iajs-3927	143	32	to	to	ADP
iajs-3927	143	33	zero	zero	NUM
iajs-3927	143	34	,	,	PUNCT
iajs-3927	143	35	(	(	PUNCT
iajs-3927	143	36	)	)	PUNCT
iajs-3927	143	37	∑	∑	ADP
iajs-3927	143	38	∑	∑	PUNCT
iajs-3927	143	39	(	(	PUNCT
iajs-3927	143	40	)	)	PUNCT
iajs-3927	143	41	=	=	SYM
iajs-3927	143	42	0	0	NUM
iajs-3927	143	43	∑	∑	PROPN
iajs-3927	143	44	∑	∑	PROPN
iajs-3927	143	45	∑	∑	PROPN
iajs-3927	143	46	∑	∑	PUNCT
iajs-3927	143	47	(	(	PUNCT
iajs-3927	143	48	∑	∑	PUNCT
iajs-3927	143	49	)	)	PUNCT
iajs-3927	143	50	(	(	PUNCT
iajs-3927	143	51	∑	∑	PUNCT
iajs-3927	143	52	)	)	PUNCT
iajs-3927	143	53	(	(	PUNCT
iajs-3927	143	54	∑	∑	PROPN
iajs-3927	143	55	)	)	PUNCT
iajs-3927	143	56	∑	∑	PUNCT
iajs-3927	143	57	(	(	PUNCT
iajs-3927	143	58	51	51	NUM
iajs-3927	143	59	)	)	PUNCT
iajs-3927	143	60	differentiate	differentiate	VERB
iajs-3927	143	61	both	both	DET
iajs-3927	143	62	sides	side	NOUN
iajs-3927	143	63	of	of	ADP
iajs-3927	143	64	equation	equation	NOUN
iajs-3927	143	65	49	49	NUM
iajs-3927	143	66	with	with	ADP
iajs-3927	143	67	respect	respect	NOUN
iajs-3927	143	68	to	to	ADP
iajs-3927	143	69	.	.	PUNCT
iajs-3927	144	1	then	then	ADV
iajs-3927	144	2	ihjpas	ihjpa	VERB
iajs-3927	144	3	.	.	PUNCT
iajs-3927	145	1	2025,38(4	2025,38(4	NOUN
iajs-3927	145	2	)	)	PUNCT
iajs-3927	146	1	317	317	NUM
iajs-3927	146	2	(	(	PUNCT
iajs-3927	146	3	)	)	PUNCT
iajs-3927	146	4	∑	∑	PUNCT
iajs-3927	146	5	(	(	PUNCT
iajs-3927	146	6	)	)	PUNCT
iajs-3927	146	7	∑	∑	PUNCT
iajs-3927	146	8	(	(	PUNCT
iajs-3927	146	9	)	)	PUNCT
iajs-3927	146	10	(	(	PUNCT
iajs-3927	146	11	52	52	NUM
iajs-3927	146	12	)	)	PUNCT
iajs-3927	146	13	make	make	VERB
iajs-3927	146	14	equation	equation	NOUN
iajs-3927	146	15	52	52	NUM
iajs-3927	146	16	equals	equal	VERB
iajs-3927	146	17	to	to	ADP
iajs-3927	146	18	zero	zero	NUM
iajs-3927	146	19	,	,	PUNCT
iajs-3927	146	20	∑	∑	ADP
iajs-3927	146	21	∑	∑	ADV
iajs-3927	146	22	hence	hence	ADV
iajs-3927	146	23	,	,	PUNCT
iajs-3927	146	24	∑	∑	PROPN
iajs-3927	146	25	(	(	PUNCT
iajs-3927	146	26	53	53	NUM
iajs-3927	146	27	)	)	PUNCT
iajs-3927	146	28	differentiate	differentiate	VERB
iajs-3927	146	29	both	both	DET
iajs-3927	146	30	sides	side	NOUN
iajs-3927	146	31	of	of	ADP
iajs-3927	146	32	equation	equation	NOUN
iajs-3927	146	33	(	(	PUNCT
iajs-3927	146	34	49	49	NUM
iajs-3927	146	35	)	)	PUNCT
iajs-3927	146	36	with	with	ADP
iajs-3927	146	37	respect	respect	NOUN
iajs-3927	146	38	to	to	ADP
iajs-3927	146	39	.	.	PUNCT
iajs-3927	147	1	then	then	ADV
iajs-3927	147	2	(	(	PUNCT
iajs-3927	147	3	)	)	PUNCT
iajs-3927	147	4	∑	∑	PROPN
iajs-3927	147	5	(	(	PUNCT
iajs-3927	147	6	)	)	PUNCT
iajs-3927	147	7	∑	∑	PUNCT
iajs-3927	147	8	(	(	PUNCT
iajs-3927	147	9	)	)	PUNCT
iajs-3927	147	10	(	(	PUNCT
iajs-3927	147	11	54	54	NUM
iajs-3927	147	12	)	)	PUNCT
iajs-3927	147	13	make	make	VERB
iajs-3927	147	14	equation	equation	NOUN
iajs-3927	147	15	54	54	NUM
iajs-3927	147	16	equals	equal	VERB
iajs-3927	147	17	to	to	ADP
iajs-3927	147	18	zero	zero	NUM
iajs-3927	147	19	,	,	PUNCT
iajs-3927	147	20	∑	∑	ADP
iajs-3927	147	21	∑	∑	PROPN
iajs-3927	147	22	∑	∑	PROPN
iajs-3927	147	23	(	(	PUNCT
iajs-3927	147	24	55	55	NUM
iajs-3927	147	25	)	)	PUNCT
iajs-3927	147	26	substitute	substitute	NOUN
iajs-3927	147	27	equation	equation	NOUN
iajs-3927	147	28	55	55	NUM
iajs-3927	147	29	in	in	ADP
iajs-3927	147	30	equation	equation	NOUN
iajs-3927	147	31	54	54	NUM
iajs-3927	147	32	;	;	PUNCT
iajs-3927	147	33	∑	∑	PUNCT
iajs-3927	147	34	∑	∑	ADV
iajs-3927	147	35	after	after	ADP
iajs-3927	147	36	simplification	simplification	NOUN
iajs-3927	147	37	,	,	PUNCT
iajs-3927	147	38	∑	∑	ADP
iajs-3927	147	39	∑	∑	PUNCT
iajs-3927	147	40	(	(	PUNCT
iajs-3927	147	41	56	56	NUM
iajs-3927	147	42	)	)	PUNCT
iajs-3927	147	43	substitute	substitute	NOUN
iajs-3927	147	44	equation	equation	NOUN
iajs-3927	147	45	56	56	NUM
iajs-3927	147	46	in	in	ADP
iajs-3927	147	47	equation	equation	NOUN
iajs-3927	147	48	55	55	NUM
iajs-3927	147	49	;	;	PUNCT
iajs-3927	147	50	∑	∑	ADP
iajs-3927	147	51	∑	∑	PUNCT
iajs-3927	147	52	∑	∑	PROPN
iajs-3927	147	53	∑	∑	PROPN
iajs-3927	147	54	∑	∑	PROPN
iajs-3927	147	55	∑	∑	PROPN
iajs-3927	147	56	(	(	PUNCT
iajs-3927	147	57	57	57	NUM
iajs-3927	147	58	)	)	PUNCT
iajs-3927	147	59	substitute	substitute	NOUN
iajs-3927	147	60	equation	equation	NOUN
iajs-3927	147	61	57	57	NUM
iajs-3927	147	62	in	in	ADP
iajs-3927	147	63	equation	equation	NOUN
iajs-3927	147	64	55	55	NUM
iajs-3927	147	65	;	;	PUNCT
iajs-3927	147	66	∑	∑	ADP
iajs-3927	147	67	∑	∑	PUNCT
iajs-3927	147	68	∑	∑	PART
iajs-3927	147	69	∑	∑	VERB
iajs-3927	147	70	by	by	ADP
iajs-3927	147	71	simplification	simplification	NOUN
iajs-3927	147	72	,	,	PUNCT
iajs-3927	147	73	∑	∑	ADP
iajs-3927	147	74	∑	∑	PUNCT
iajs-3927	147	75	∑	∑	PROPN
iajs-3927	147	76	∑	∑	ADV
iajs-3927	147	77	hence	hence	ADV
iajs-3927	147	78	,	,	PUNCT
iajs-3927	147	79	∑	∑	ADV
iajs-3927	147	80	∑	∑	PUNCT
iajs-3927	147	81	(	(	PUNCT
iajs-3927	147	82	58	58	NUM
iajs-3927	147	83	)	)	PUNCT
iajs-3927	147	84	substitute	substitute	NOUN
iajs-3927	147	85	equation	equation	NOUN
iajs-3927	147	86	58	58	NUM
iajs-3927	147	87	in	in	ADP
iajs-3927	147	88	equation	equation	NOUN
iajs-3927	147	89	56	56	NUM
iajs-3927	147	90	;	;	PUNCT
iajs-3927	147	91	∑	∑	ADP
iajs-3927	147	92	∑	∑	PUNCT
iajs-3927	147	93	∑	∑	PROPN
iajs-3927	147	94	∑	∑	PROPN
iajs-3927	147	95	∑	∑	PROPN
iajs-3927	147	96	∑	∑	PUNCT
iajs-3927	147	97	ihjpas	ihjpas	PROPN
iajs-3927	147	98	.	.	PUNCT
iajs-3927	148	1	2025,38(4	2025,38(4	NOUN
iajs-3927	148	2	)	)	PUNCT
iajs-3927	148	3	318	318	NUM
iajs-3927	148	4	(	(	PUNCT
iajs-3927	148	5	∑	∑	PROPN
iajs-3927	148	6	)	)	PUNCT
iajs-3927	148	7	∑	∑	ADP
iajs-3927	148	8	∑	∑	PUNCT
iajs-3927	148	9	(	(	PUNCT
iajs-3927	148	10	59	59	NUM
iajs-3927	148	11	)	)	PUNCT
iajs-3927	148	12	therefore	therefore	ADV
iajs-3927	148	13	,	,	PUNCT
iajs-3927	148	14	̂	̂	X
iajs-3927	148	15	(	(	PUNCT
iajs-3927	148	16	∑	∑	PROPN
iajs-3927	148	17	)	)	PUNCT
iajs-3927	148	18	∑	∑	ADP
iajs-3927	148	19	∑	∑	PUNCT
iajs-3927	148	20	substitute	substitute	ADJ
iajs-3927	148	21	equation	equation	NOUN
iajs-3927	148	22	59	59	NUM
iajs-3927	148	23	in	in	ADP
iajs-3927	148	24	equation	equation	NOUN
iajs-3927	148	25	58	58	NUM
iajs-3927	148	26	;	;	PUNCT
iajs-3927	148	27	(	(	PUNCT
iajs-3927	148	28	(	(	PUNCT
iajs-3927	148	29	∑	∑	INTJ
iajs-3927	148	30	)	)	PUNCT
iajs-3927	148	31	∑	∑	PUNCT
iajs-3927	148	32	∑	∑	PUNCT
iajs-3927	148	33	)	)	PUNCT
iajs-3927	148	34	∑	∑	ADP
iajs-3927	148	35	∑	∑	PROPN
iajs-3927	148	36	∑	∑	PROPN
iajs-3927	148	37	(	(	PUNCT
iajs-3927	148	38	60	60	NUM
iajs-3927	148	39	)	)	PUNCT
iajs-3927	148	40	hence	hence	ADV
iajs-3927	148	41	,	,	PUNCT
iajs-3927	148	42	̂	̂	PUNCT
iajs-3927	148	43	∑	∑	PUNCT
iajs-3927	148	44	substitute	substitute	NOUN
iajs-3927	148	45	equation	equation	NOUN
iajs-3927	148	46	60	60	NUM
iajs-3927	148	47	in	in	ADP
iajs-3927	148	48	equation	equation	NOUN
iajs-3927	148	49	57	57	NUM
iajs-3927	148	50	;	;	PUNCT
iajs-3927	148	51	.	.	PUNCT
iajs-3927	149	1	∑	∑	PUNCT
iajs-3927	149	2	/	/	SYM
iajs-3927	149	3	∑	∑	PROPN
iajs-3927	149	4	.	.	PUNCT
iajs-3927	150	1	∑	∑	PROPN
iajs-3927	150	2	/	/	SYM
iajs-3927	150	3	∑	∑	PROPN
iajs-3927	150	4	.	.	PUNCT
iajs-3927	151	1	∑	∑	PUNCT
iajs-3927	151	2	/	/	PUNCT
iajs-3927	151	3	by	by	ADP
iajs-3927	151	4	simplification	simplification	NOUN
iajs-3927	151	5	,	,	PUNCT
iajs-3927	151	6	∑	∑	ADP
iajs-3927	151	7	∑	∑	ADV
iajs-3927	151	8	∑	∑	ADV
iajs-3927	151	9	hence	hence	ADV
iajs-3927	151	10	,	,	PUNCT
iajs-3927	151	11	̂	̂	VERB
iajs-3927	151	12	∑	∑	PROPN
iajs-3927	151	13	∑	∑	PROPN
iajs-3927	151	14	∑	∑	PROPN
iajs-3927	151	15	4	4	NUM
iajs-3927	151	16	.	.	PUNCT
iajs-3927	152	1	simulation	simulation	NOUN
iajs-3927	152	2	and	and	CCONJ
iajs-3927	152	3	results	result	NOUN
iajs-3927	152	4	.	.	PUNCT
iajs-3927	153	1	this	this	DET
iajs-3927	153	2	study	study	NOUN
iajs-3927	153	3	presents	present	VERB
iajs-3927	153	4	ar	ar	PROPN
iajs-3927	153	5	model	model	NOUN
iajs-3927	153	6	estimation	estimation	NOUN
iajs-3927	153	7	via	via	ADP
iajs-3927	153	8	maximum	maximum	ADJ
iajs-3927	153	9	likelihood	likelihood	NOUN
iajs-3927	153	10	methods	method	NOUN
iajs-3927	153	11	by	by	ADP
iajs-3927	153	12	defining	define	VERB
iajs-3927	153	13	marginal	marginal	ADJ
iajs-3927	153	14	distribution	distribution	NOUN
iajs-3927	153	15	of	of	ADP
iajs-3927	153	16	the	the	DET
iajs-3927	153	17	given	give	VERB
iajs-3927	153	18	time	time	NOUN
iajs-3927	153	19	series	series	NOUN
iajs-3927	153	20	,	,	PUNCT
iajs-3927	153	21	for	for	ADP
iajs-3927	153	22	this	this	PRON
iajs-3927	153	23	some	some	PRON
iajs-3927	153	24	of	of	ADP
iajs-3927	153	25	simulated	simulated	ADJ
iajs-3927	153	26	experiments	experiment	NOUN
iajs-3927	153	27	designed	design	VERB
iajs-3927	153	28	and	and	CCONJ
iajs-3927	153	29	.	.	PUNCT
iajs-3927	154	1	different	different	ADJ
iajs-3927	154	2	initial	initial	ADJ
iajs-3927	154	3	values	value	NOUN
iajs-3927	154	4	for	for	ADP
iajs-3927	154	5	the	the	DET
iajs-3927	154	6	parameters	parameter	NOUN
iajs-3927	154	7	were	be	AUX
iajs-3927	154	8	assumed	assume	VERB
iajs-3927	154	9	for	for	ADP
iajs-3927	154	10	each	each	DET
iajs-3927	154	11	experiment	experiment	NOUN
iajs-3927	154	12	.	.	PUNCT
iajs-3927	155	1	the	the	DET
iajs-3927	155	2	results	result	NOUN
iajs-3927	155	3	of	of	ADP
iajs-3927	155	4	these	these	DET
iajs-3927	155	5	experiments	experiment	NOUN
iajs-3927	155	6	are	be	AUX
iajs-3927	155	7	given	give	VERB
iajs-3927	155	8	in	in	ADP
iajs-3927	155	9	tables	table	NOUN
iajs-3927	155	10	1	1	NUM
iajs-3927	155	11	-	-	SYM
iajs-3927	155	12	9	9	NUM
iajs-3927	155	13	for	for	ADP
iajs-3927	155	14	some	some	DET
iajs-3927	155	15	statistical	statistical	ADJ
iajs-3927	155	16	criteria	criterion	NOUN
iajs-3927	155	17	,	,	PUNCT
iajs-3927	155	18	mean	mean	ADJ
iajs-3927	155	19	square	square	ADJ
iajs-3927	155	20	error	error	NOUN
iajs-3927	155	21	(	(	PUNCT
iajs-3927	155	22	mse	mse	NOUN
iajs-3927	155	23	)	)	PUNCT
iajs-3927	155	24	,	,	PUNCT
iajs-3927	155	25	and	and	CCONJ
iajs-3927	155	26	the	the	DET
iajs-3927	155	27	absolute	absolute	ADJ
iajs-3927	155	28	mean	mean	ADJ
iajs-3927	155	29	percentage	percentage	NOUN
iajs-3927	155	30	error	error	NOUN
iajs-3927	155	31	(	(	PUNCT
iajs-3927	155	32	mpe	mpe	NOUN
iajs-3927	155	33	)	)	PUNCT
iajs-3927	155	34	.	.	PUNCT
iajs-3927	156	1	the	the	DET
iajs-3927	156	2	first	first	ADJ
iajs-3927	156	3	experiment	experiment	NOUN
iajs-3927	156	4	was	be	AUX
iajs-3927	156	5	designed	design	VERB
iajs-3927	156	6	to	to	PART
iajs-3927	156	7	calculate	calculate	VERB
iajs-3927	156	8	mle	mle	PROPN
iajs-3927	156	9	and	and	CCONJ
iajs-3927	156	10	mar	mar	PROPN
iajs-3927	156	11	for	for	ADP
iajs-3927	156	12	time	time	NOUN
iajs-3927	157	1	series	series	PROPN
iajs-3927	157	2	values	value	NOUN
iajs-3927	157	3	for	for	ADP
iajs-3927	157	4	,	,	PUNCT
iajs-3927	157	5	with	with	ADP
iajs-3927	157	6	(	(	PUNCT
iajs-3927	157	7	and	and	CCONJ
iajs-3927	157	8	)	)	PUNCT
iajs-3927	157	9	,	,	PUNCT
iajs-3927	157	10	sample	sample	NOUN
iajs-3927	157	11	size	size	NOUN
iajs-3927	157	12	(	(	PUNCT
iajs-3927	157	13	and	and	CCONJ
iajs-3927	157	14	)	)	PUNCT
iajs-3927	157	15	,	,	PUNCT
iajs-3927	157	16	and	and	CCONJ
iajs-3927	157	17	number	number	NOUN
iajs-3927	157	18	of	of	ADP
iajs-3927	157	19	replicate	replicate	NOUN
iajs-3927	157	20	(	(	PUNCT
iajs-3927	157	21	and	and	CCONJ
iajs-3927	157	22	)	)	PUNCT
iajs-3927	157	23	,	,	PUNCT
iajs-3927	157	24	the	the	DET
iajs-3927	157	25	results	result	NOUN
iajs-3927	157	26	of	of	ADP
iajs-3927	157	27	this	this	DET
iajs-3927	157	28	experiment	experiment	NOUN
iajs-3927	157	29	are	be	AUX
iajs-3927	157	30	given	give	VERB
iajs-3927	157	31	by	by	ADP
iajs-3927	157	32	tables	table	NOUN
iajs-3927	157	33	1	1	NUM
iajs-3927	157	34	,	,	PUNCT
iajs-3927	157	35	2	2	NUM
iajs-3927	157	36	,	,	PUNCT
iajs-3927	157	37	and	and	CCONJ
iajs-3927	157	38	3	3	NUM
iajs-3927	157	39	.	.	X
iajs-3927	158	1	regarding	regard	VERB
iajs-3927	158	2	the	the	DET
iajs-3927	158	3	mse	mse	PROPN
iajs-3927	158	4	and	and	CCONJ
iajs-3927	158	5	mpe	mpe	PROPN
iajs-3927	158	6	criteria	criterion	NOUN
iajs-3927	158	7	,	,	PUNCT
iajs-3927	158	8	we	we	PRON
iajs-3927	158	9	can	can	AUX
iajs-3927	158	10	see	see	VERB
iajs-3927	158	11	from	from	ADP
iajs-3927	158	12	the	the	DET
iajs-3927	158	13	given	give	VERB
iajs-3927	158	14	tables	table	NOUN
iajs-3927	158	15	,	,	PUNCT
iajs-3927	158	16	the	the	DET
iajs-3927	158	17	values	value	NOUN
iajs-3927	158	18	of	of	ADP
iajs-3927	158	19	mse	mse	NOUN
iajs-3927	158	20	and	and	CCONJ
iajs-3927	158	21	mpe	mpe	ADJ
iajs-3927	158	22	decrease	decrease	NOUN
iajs-3927	158	23	with	with	ADP
iajs-3927	158	24	increasing	increase	VERB
iajs-3927	158	25	sample	sample	NOUN
iajs-3927	158	26	size	size	NOUN
iajs-3927	158	27	n	n	CCONJ
iajs-3927	158	28	for	for	ADP
iajs-3927	158	29	each	each	DET
iajs-3927	158	30	value	value	NOUN
iajs-3927	158	31	of	of	ADP
iajs-3927	158	32	for	for	ADP
iajs-3927	158	33	mle	mle	PROPN
iajs-3927	158	34	and	and	CCONJ
iajs-3927	158	35	mar	mar	PROPN
iajs-3927	158	36	.	.	PUNCT
iajs-3927	159	1	the	the	DET
iajs-3927	159	2	values	value	NOUN
iajs-3927	159	3	of	of	ADP
iajs-3927	159	4	mpe	mpe	NOUN
iajs-3927	159	5	of	of	ADP
iajs-3927	159	6	both	both	DET
iajs-3927	159	7	methods	method	NOUN
iajs-3927	159	8	become	become	VERB
iajs-3927	159	9	closer	close	ADJ
iajs-3927	159	10	as	as	SCONJ
iajs-3927	159	11	the	the	DET
iajs-3927	159	12	sample	sample	NOUN
iajs-3927	159	13	size	size	NOUN
iajs-3927	159	14	increases	increase	VERB
iajs-3927	159	15	for	for	ADP
iajs-3927	159	16	different	different	ADJ
iajs-3927	159	17	values	value	NOUN
iajs-3927	159	18	of	of	ADP
iajs-3927	159	19	.	.	PUNCT
iajs-3927	160	1	the	the	DET
iajs-3927	160	2	mse	mse	PROPN
iajs-3927	160	3	and	and	CCONJ
iajs-3927	160	4	mpe	mpe	PROPN
iajs-3927	160	5	values	value	NOUN
iajs-3927	160	6	decrease	decrease	VERB
iajs-3927	160	7	with	with	ADP
iajs-3927	160	8	decreasing	decrease	VERB
iajs-3927	160	9	replication	replication	NOUN
iajs-3927	160	10	for	for	ADP
iajs-3927	160	11	each	each	DET
iajs-3927	160	12	value	value	NOUN
iajs-3927	160	13	of	of	ADP
iajs-3927	160	14	.	.	PUNCT
iajs-3927	161	1	the	the	DET
iajs-3927	161	2	values	value	NOUN
iajs-3927	161	3	of	of	ADP
iajs-3927	161	4	mpe	mpe	PROPN
iajs-3927	161	5	indicate	indicate	VERB
iajs-3927	161	6	mar	mar	PROPN
iajs-3927	161	7	is	be	AUX
iajs-3927	161	8	better	well	ADJ
iajs-3927	161	9	than	than	ADP
iajs-3927	161	10	mle	mle	NOUN
iajs-3927	161	11	where	where	SCONJ
iajs-3927	161	12	most	most	ADJ
iajs-3927	161	13	of	of	ADP
iajs-3927	161	14	the	the	DET
iajs-3927	161	15	different	different	ADJ
iajs-3927	161	16	model	model	NOUN
iajs-3927	161	17	parameters	parameter	NOUN
iajs-3927	161	18	and	and	CCONJ
iajs-3927	161	19	sample	sample	NOUN
iajs-3927	161	20	size	size	NOUN
iajs-3927	161	21	moreover	moreover	ADV
iajs-3927	161	22	,	,	PUNCT
iajs-3927	161	23	figures	figure	NOUN
iajs-3927	161	24	1	1	NUM
iajs-3927	161	25	,	,	PUNCT
iajs-3927	161	26	2	2	NUM
iajs-3927	161	27	,	,	PUNCT
iajs-3927	161	28	and	and	CCONJ
iajs-3927	161	29	3	3	NUM
iajs-3927	161	30	represent	represent	VERB
iajs-3927	161	31	the	the	DET
iajs-3927	161	32	estimated	estimate	VERB
iajs-3927	161	33	model	model	NOUN
iajs-3927	161	34	for	for	ADP
iajs-3927	161	35	the	the	DET
iajs-3927	161	36	time	time	NOUN
iajs-3927	161	37	series	series	NOUN
iajs-3927	161	38	when	when	SCONJ
iajs-3927	161	39	,	,	PUNCT
iajs-3927	161	40	respectively	respectively	ADV
iajs-3927	161	41	,	,	PUNCT
iajs-3927	161	42	the	the	DET
iajs-3927	161	43	red	red	ADJ
iajs-3927	161	44	graph	graph	NOUN
iajs-3927	161	45	refers	refer	VERB
iajs-3927	161	46	to	to	ADP
iajs-3927	161	47	the	the	DET
iajs-3927	161	48	generated	generate	VERB
iajs-3927	161	49	simulated	simulate	VERB
iajs-3927	161	50	model	model	NOUN
iajs-3927	161	51	,	,	PUNCT
iajs-3927	161	52	the	the	DET
iajs-3927	161	53	blue	blue	ADJ
iajs-3927	161	54	graph	graph	NOUN
iajs-3927	161	55	refers	refer	VERB
iajs-3927	161	56	to	to	ADP
iajs-3927	161	57	the	the	DET
iajs-3927	161	58	model	model	NOUN
iajs-3927	161	59	estimated	estimate	VERB
iajs-3927	161	60	via	via	ADP
iajs-3927	161	61	exact	exact	ADJ
iajs-3927	161	62	likelihood	likelihood	NOUN
iajs-3927	161	63	,	,	PUNCT
iajs-3927	161	64	and	and	CCONJ
iajs-3927	161	65	the	the	DET
iajs-3927	161	66	green	green	ADJ
iajs-3927	161	67	graph	graph	NOUN
iajs-3927	161	68	refers	refer	VERB
iajs-3927	161	69	to	to	ADP
iajs-3927	161	70	the	the	DET
iajs-3927	161	71	estimated	estimate	VERB
iajs-3927	161	72	model	model	NOUN
iajs-3927	161	73	by	by	ADP
iajs-3927	161	74	using	use	VERB
iajs-3927	161	75	the	the	DET
iajs-3927	161	76	likelihood	likelihood	NOUN
iajs-3927	161	77	function	function	NOUN
iajs-3927	161	78	via	via	ADP
iajs-3927	161	79	the	the	DET
iajs-3927	161	80	marginal	marginal	ADJ
iajs-3927	161	81	distribution	distribution	NOUN
iajs-3927	161	82	of	of	ADP
iajs-3927	161	83	the	the	DET
iajs-3927	161	84	time	time	NOUN
iajs-3927	161	85	series	series	NOUN
iajs-3927	161	86	.	.	PUNCT
iajs-3927	162	1	in	in	ADP
iajs-3927	162	2	figures	figure	NOUN
iajs-3927	162	3	1	1	NUM
iajs-3927	162	4	,	,	PUNCT
iajs-3927	162	5	2	2	NUM
iajs-3927	162	6	,	,	PUNCT
iajs-3927	162	7	and	and	CCONJ
iajs-3927	162	8	3	3	NUM
iajs-3927	162	9	,	,	PUNCT
iajs-3927	162	10	we	we	PRON
iajs-3927	162	11	notice	notice	VERB
iajs-3927	162	12	that	that	SCONJ
iajs-3927	162	13	all	all	DET
iajs-3927	162	14	-	-	PUNCT
iajs-3927	162	15	time	time	NOUN
iajs-3927	162	16	series	series	NOUN
iajs-3927	162	17	are	be	AUX
iajs-3927	162	18	stable	stable	ADJ
iajs-3927	162	19	at	at	ADP
iajs-3927	162	20	different	different	ADJ
iajs-3927	162	21	values	value	NOUN
iajs-3927	162	22	of	of	ADP
iajs-3927	162	23	the	the	DET
iajs-3927	162	24	sample	sample	NOUN
iajs-3927	162	25	size	size	NOUN
iajs-3927	162	26	and	and	CCONJ
iajs-3927	162	27	each	each	DET
iajs-3927	162	28	number	number	NOUN
iajs-3927	162	29	of	of	ADP
iajs-3927	162	30	replication	replication	NOUN
iajs-3927	162	31	.	.	PUNCT
iajs-3927	163	1	ihjpas	ihjpas	PROPN
iajs-3927	163	2	.	.	PUNCT
iajs-3927	164	1	2025,38(4	2025,38(4	X
iajs-3927	164	2	)	)	PUNCT
iajs-3927	164	3	319	319	NUM
iajs-3927	164	4	table	table	NOUN
iajs-3927	164	5	1	1	NUM
iajs-3927	164	6	.	.	PUNCT
iajs-3927	164	7	model	model	NOUN
iajs-3927	164	8	for	for	ADP
iajs-3927	164	9	mle	mle	PROPN
iajs-3927	164	10	and	and	CCONJ
iajs-3927	164	11	mar	mar	PROPN
iajs-3927	164	12	with	with	ADP
iajs-3927	164	13	.	.	PUNCT
iajs-3927	165	1	the	the	DET
iajs-3927	165	2	results	result	NOUN
iajs-3927	165	3	of	of	ADP
iajs-3927	165	4	table	table	NOUN
iajs-3927	165	5	1	1	NUM
iajs-3927	165	6	;	;	PUNCT
iajs-3927	165	7	as	as	SCONJ
iajs-3927	165	8	shown	show	VERB
iajs-3927	165	9	in	in	ADP
iajs-3927	165	10	figure	figure	NOUN
iajs-3927	165	11	1	1	NUM
iajs-3927	165	12	.	.	PUNCT
iajs-3927	165	13	,	,	PUNCT
iajs-3927	165	14	r	r	NOUN
iajs-3927	165	15	=	=	NOUN
iajs-3927	165	16	100	100	NUM
iajs-3927	165	17	,	,	PUNCT
iajs-3927	165	18	r	r	NOUN
iajs-3927	165	19	=	=	NOUN
iajs-3927	165	20	100	100	NUM
iajs-3927	165	21	,	,	PUNCT
iajs-3927	165	22	r	r	NOUN
iajs-3927	165	23	=	=	NOUN
iajs-3927	165	24	100	100	NUM
iajs-3927	165	25	,	,	PUNCT
iajs-3927	165	26	r=100	r=100	PROPN
iajs-3927	165	27	,	,	PUNCT
iajs-3927	165	28	r	r	NOUN
iajs-3927	165	29	=	=	NOUN
iajs-3927	165	30	100	100	NUM
iajs-3927	165	31	,	,	PUNCT
iajs-3927	165	32	r	r	NOUN
iajs-3927	165	33	=	=	NOUN
iajs-3927	165	34	100	100	NUM
iajs-3927	165	35	,	,	PUNCT
iajs-3927	165	36	r=100	r=100	PROPN
iajs-3927	165	37	,	,	PUNCT
iajs-3927	165	38	r=100	r=100	PROPN
iajs-3927	165	39	,	,	PUNCT
iajs-3927	165	40	r	r	NOUN
iajs-3927	165	41	=	=	NOUN
iajs-3927	165	42	100	100	NUM
iajs-3927	165	43	,	,	PUNCT
iajs-3927	165	44	r	r	NOUN
iajs-3927	165	45	=	=	NOUN
iajs-3927	165	46	100	100	NUM
iajs-3927	165	47	,	,	PUNCT
iajs-3927	165	48	r	r	NOUN
iajs-3927	165	49	=	=	NOUN
iajs-3927	165	50	100	100	NUM
iajs-3927	165	51	,	,	PUNCT
iajs-3927	165	52	r	r	NOUN
iajs-3927	165	53	=	=	SYM
iajs-3927	165	54	100	100	NUM
iajs-3927	165	55	figure	figure	NOUN
iajs-3927	165	56	1	1	NUM
iajs-3927	165	57	.	.	PUNCT
iajs-3927	165	58	)	)	PUNCT
iajs-3927	165	59	model	model	NOUN
iajs-3927	165	60	for	for	ADP
iajs-3927	165	61	mle	mle	PROPN
iajs-3927	165	62	and	and	CCONJ
iajs-3927	165	63	mar	mar	PROPN
iajs-3927	165	64	with	with	ADP
iajs-3927	165	65	r	r	NOUN
iajs-3927	165	66	=	=	NOUN
iajs-3927	165	67	100	100	NUM
iajs-3927	165	68	.	.	PUNCT
iajs-3927	166	1	for	for	ADP
iajs-3927	166	2	number	number	NOUN
iajs-3927	166	3	of	of	ADP
iajs-3927	166	4	replication	replication	NOUN
iajs-3927	166	5	,	,	PUNCT
iajs-3927	166	6	the	the	DET
iajs-3927	166	7	results	result	NOUN
iajs-3927	166	8	are	be	AUX
iajs-3927	166	9	given	give	VERB
iajs-3927	166	10	in	in	ADP
iajs-3927	166	11	table	table	NOUN
iajs-3927	166	12	2	2	NUM
iajs-3927	166	13	and	and	CCONJ
iajs-3927	166	14	figure	figure	NOUN
iajs-3927	166	15	2	2	NUM
iajs-3927	166	16	.	.	PUNCT
iajs-3927	166	17	n	n	PROPN
iajs-3927	166	18	mle	mle	PROPN
iajs-3927	166	19	mar	mar	PROPN
iajs-3927	166	20	mse	mse	PROPN
iajs-3927	166	21	mpe	mpe	PROPN
iajs-3927	166	22	mse	mse	PROPN
iajs-3927	166	23	mpe	mpe	PROPN
iajs-3927	166	24	30	30	NUM
iajs-3927	166	25	1.5065e-32	1.5065e-32	NUM
iajs-3927	166	26	46.9825	46.9825	NUM
iajs-3927	167	1	9.4843e-30	9.4843e-30	NUM
iajs-3927	167	2	26.2206	26.2206	NUM
iajs-3927	167	3	1.1237e-32	1.1237e-32	NUM
iajs-3927	167	4	50.6085	50.6085	NUM
iajs-3927	167	5	9.6416e-31	9.6416e-31	NUM
iajs-3927	167	6	30.6140	30.6140	NUM
iajs-3927	167	7	1.9921e-33	1.9921e-33	NUM
iajs-3927	167	8	48.6619	48.6619	NUM
iajs-3927	167	9	3.1081e-30	3.1081e-30	NUM
iajs-3927	167	10	30.4533	30.4533	NUM
iajs-3927	167	11	4.9416e-31	4.9416e-31	NUM
iajs-3927	167	12	40.1620	40.1620	NUM
iajs-3927	167	13	4.1241e-30	4.1241e-30	NUM
iajs-3927	167	14	31.8221	31.8221	NUM
iajs-3927	167	15	50	50	NUM
iajs-3927	167	16	1.9921e-33	1.9921e-33	NUM
iajs-3927	167	17	22.2352	22.2352	NUM
iajs-3927	167	18	1.6181e-30	1.6181e-30	NUM
iajs-3927	167	19	11.9847	11.9847	NUM
iajs-3927	167	20	0	0	NUM
iajs-3927	168	1	21.6314	21.6314	NUM
iajs-3927	168	2	3.9045e-31	3.9045e-31	NUM
iajs-3927	168	3	15.3154	15.3154	NUM
iajs-3927	168	4	1.1205e-31	1.1205e-31	NUM
iajs-3927	168	5	18.3909	18.3909	NUM
iajs-3927	168	6	1.0085e-30	1.0085e-30	NUM
iajs-3927	168	7	14.0371	14.0371	NUM
iajs-3927	168	8	2.1041e-32	2.1041e-32	NUM
iajs-3927	168	9	16.3906	16.3906	NUM
iajs-3927	168	10	8.3717e-31	8.3717e-31	NUM
iajs-3927	168	11	13.4952	13.4952	NUM
iajs-3927	168	12	100	100	NUM
iajs-3927	168	13	1.2450e-34	1.2450e-34	NUM
iajs-3927	168	14	7.3882	7.3882	NUM
iajs-3927	168	15	1.3466e-30	1.3466e-30	NUM
iajs-3927	168	16	4.3022	4.3022	NUM
iajs-3927	168	17	5.4907e-32	5.4907e-32	NUM
iajs-3927	168	18	7.5252	7.5252	NUM
iajs-3927	168	19	7.9683e-33	7.9683e-33	NUM
iajs-3927	168	20	4.6729	4.6729	NUM
iajs-3927	168	21	2.8014e-32	2.8014e-32	NUM
iajs-3927	168	22	7.7938	7.7938	NUM
iajs-3927	168	23	8.4165e-32	8.4165e-32	NUM
iajs-3927	168	24	5.0796	5.0796	NUM
iajs-3927	168	25	7.1715e-32	7.1715e-32	NUM
iajs-3927	168	26	5.7299	5.7299	NUM
iajs-3927	168	27	1.9921e-31	1.9921e-31	NUM
iajs-3927	168	28	4.8566	4.8566	NUM
iajs-3927	168	29	ihjpas	ihjpa	NOUN
iajs-3927	168	30	.	.	PUNCT
iajs-3927	169	1	2025,38(4	2025,38(4	X
iajs-3927	169	2	)	)	PUNCT
iajs-3927	169	3	320	320	NUM
iajs-3927	169	4	table	table	NOUN
iajs-3927	169	5	2	2	NUM
iajs-3927	169	6	.	.	PUNCT
iajs-3927	169	7	model	model	NOUN
iajs-3927	169	8	for	for	ADP
iajs-3927	169	9	mle	mle	PROPN
iajs-3927	169	10	and	and	CCONJ
iajs-3927	169	11	mar	mar	PROPN
iajs-3927	169	12	with	with	ADP
iajs-3927	169	13	.	.	PUNCT
iajs-3927	170	1	n	n	PROPN
iajs-3927	170	2	mle	mle	PROPN
iajs-3927	170	3	mar	mar	PROPN
iajs-3927	170	4	mse	mse	PROPN
iajs-3927	170	5	mpe	mpe	PROPN
iajs-3927	170	6	mse	mse	PROPN
iajs-3927	170	7	mpe	mpe	PROPN
iajs-3927	170	8	30	30	NUM
iajs-3927	170	9	1.9921e-33	1.9921e-33	NUM
iajs-3927	170	10	249.0715	249.0715	NUM
iajs-3927	170	11	6.3367e-28	6.3367e-28	NUM
iajs-3927	170	12	156.3922	156.3922	NUM
iajs-3927	170	13	2.5817e-30	2.5817e-30	NUM
iajs-3927	170	14	240.5369	240.5369	NUM
iajs-3927	170	15	1.3884e-28	1.3884e-28	NUM
iajs-3927	170	16	142.6665	142.6665	NUM
iajs-3927	170	17	3.3487e-30	3.3487e-30	NUM
iajs-3927	170	18	249.4303	249.4303	NUM
iajs-3927	170	19	5.0201e-28	5.0201e-28	NUM
iajs-3927	170	20	159.3458	159.3458	NUM
iajs-3927	170	21	8.6808e-31	8.6808e-31	NUM
iajs-3927	170	22	189.4300	189.4300	NUM
iajs-3927	170	23	1.9144e-30	1.9144e-30	NUM
iajs-3927	170	24	154.6298	154.6298	NUM
iajs-3927	170	25	50	50	NUM
iajs-3927	170	26	7.1715e-32	7.1715e-32	NUM
iajs-3927	170	27	105.8937	105.8937	NUM
iajs-3927	170	28	2.9528e-28	2.9528e-28	NUM
iajs-3927	170	29	62.9162	62.9162	NUM
iajs-3927	170	30	8.4165e-30	8.4165e-30	NUM
iajs-3927	170	31	109.3878	109.3878	NUM
iajs-3927	170	32	6.6348e-29	6.6348e-29	NUM
iajs-3927	170	33	62.0760	62.0760	NUM
iajs-3927	170	34	1.1506e-29	1.1506e-29	NUM
iajs-3927	170	35	104.1844	104.1844	NUM
iajs-3927	170	36	6.2410e-29	6.2410e-29	NUM
iajs-3927	170	37	64.2770	64.2770	NUM
iajs-3927	170	38	2.9407e-29	2.9407e-29	NUM
iajs-3927	170	39	79.9037	79.9037	NUM
iajs-3927	170	40	5.6593e-28	5.6593e-28	NUM
iajs-3927	170	41	59.7555	59.7555	NUM
iajs-3927	170	42	100	100	NUM
iajs-3927	170	43	2.4359e-30	2.4359e-30	NUM
iajs-3927	170	44	mse_mar	mse_mar	NOUN
iajs-3927	170	45	=	=	PUNCT
iajs-3927	170	46	2.6394e-28	2.6394e-28	NUM
iajs-3927	170	47	mpe_mle	mpe_mle	NOUN
iajs-3927	170	48	=	=	SYM
iajs-3927	170	49	39.9870	39.9870	NUM
iajs-3927	170	50	39.9870	39.9870	NUM
iajs-3927	170	51	2.6394e-28	2.6394e-28	NUM
iajs-3927	170	52	21.2546	21.2546	NUM
iajs-3927	170	53	1.9328e-29	1.9328e-29	NUM
iajs-3927	170	54	38.2339	38.2339	NUM
iajs-3927	170	55	2.4543e-28	2.4543e-28	NUM
iajs-3927	170	56	21.6598	21.6598	NUM
iajs-3927	170	57	1.9574e-29	1.9574e-29	NUM
iajs-3927	170	58	34.3012	34.3012	NUM
iajs-3927	170	59	4.8790e-29	4.8790e-29	NUM
iajs-3927	170	60	22.1899	22.1899	NUM
iajs-3927	170	61	6.7627e-29	6.7627e-29	NUM
iajs-3927	170	62	28.4785	28.4785	NUM
iajs-3927	170	63	1.0327e-29	1.0327e-29	NUM
iajs-3927	170	64	20.5642	20.5642	NUM
iajs-3927	170	65	the	the	DET
iajs-3927	170	66	plot	plot	NOUN
iajs-3927	170	67	of	of	ADP
iajs-3927	170	68	the	the	DET
iajs-3927	170	69	results	result	NOUN
iajs-3927	170	70	in	in	ADP
iajs-3927	170	71	table	table	NOUN
iajs-3927	170	72	2	2	NUM
iajs-3927	170	73	,	,	PUNCT
iajs-3927	170	74	as	as	SCONJ
iajs-3927	170	75	show	show	NOUN
iajs-3927	170	76	in	in	ADP
iajs-3927	170	77	figure	figure	NOUN
iajs-3927	170	78	2	2	NUM
iajs-3927	170	79	.	.	NOUN
iajs-3927	170	80	,	,	PUNCT
iajs-3927	170	81	r	r	NOUN
iajs-3927	170	82	=	=	NOUN
iajs-3927	170	83	500	500	NUM
iajs-3927	170	84	,	,	PUNCT
iajs-3927	170	85	r	r	NOUN
iajs-3927	170	86	=	=	SYM
iajs-3927	170	87	500	500	NUM
iajs-3927	170	88	,	,	PUNCT
iajs-3927	170	89	r	r	NOUN
iajs-3927	170	90	=	=	SYM
iajs-3927	170	91	500	500	NUM
iajs-3927	170	92	,	,	PUNCT
iajs-3927	170	93	r	r	NOUN
iajs-3927	170	94	=	=	SYM
iajs-3927	170	95	500	500	NUM
iajs-3927	170	96	,	,	PUNCT
iajs-3927	170	97	r	r	NOUN
iajs-3927	170	98	=	=	SYM
iajs-3927	170	99	500	500	NUM
iajs-3927	170	100	,	,	PUNCT
iajs-3927	170	101	r	r	NOUN
iajs-3927	170	102	=	=	SYM
iajs-3927	170	103	500	500	NUM
iajs-3927	170	104	,	,	PUNCT
iajs-3927	170	105	r	r	NOUN
iajs-3927	170	106	=	=	SYM
iajs-3927	170	107	500	500	NUM
iajs-3927	170	108	,	,	PUNCT
iajs-3927	170	109	r	r	NOUN
iajs-3927	170	110	=	=	SYM
iajs-3927	170	111	500	500	NUM
iajs-3927	170	112	,	,	PUNCT
iajs-3927	170	113	r	r	NOUN
iajs-3927	170	114	=	=	SYM
iajs-3927	170	115	500	500	NUM
iajs-3927	170	116	,	,	PUNCT
iajs-3927	170	117	r	r	NOUN
iajs-3927	170	118	=	=	SYM
iajs-3927	170	119	500	500	NUM
iajs-3927	170	120	,	,	PUNCT
iajs-3927	170	121	r	r	NOUN
iajs-3927	170	122	=	=	SYM
iajs-3927	170	123	500	500	NUM
iajs-3927	170	124	,	,	PUNCT
iajs-3927	170	125	r	r	NOUN
iajs-3927	170	126	=	=	SYM
iajs-3927	170	127	500	500	NUM
iajs-3927	170	128	figure	figure	NOUN
iajs-3927	170	129	2	2	NUM
iajs-3927	170	130	.	.	PUNCT
iajs-3927	170	131	model	model	NOUN
iajs-3927	170	132	for	for	ADP
iajs-3927	170	133	mle	mle	PROPN
iajs-3927	170	134	and	and	CCONJ
iajs-3927	170	135	mar	mar	PROPN
iajs-3927	170	136	with	with	ADP
iajs-3927	170	137	for	for	ADP
iajs-3927	170	138	the	the	DET
iajs-3927	170	139	number	number	NOUN
iajs-3927	170	140	of	of	ADP
iajs-3927	170	141	replication	replication	NOUN
iajs-3927	170	142	,	,	PUNCT
iajs-3927	170	143	see	see	VERB
iajs-3927	170	144	the	the	DET
iajs-3927	170	145	following	follow	VERB
iajs-3927	170	146	table	table	NOUN
iajs-3927	170	147	3	3	NUM
iajs-3927	170	148	and	and	CCONJ
iajs-3927	170	149	figure	figure	VERB
iajs-3927	170	150	3	3	NUM
iajs-3927	170	151	:	:	PUNCT
iajs-3927	170	152	ihjpas	ihjpas	PROPN
iajs-3927	170	153	.	.	PUNCT
iajs-3927	171	1	2025,38(4	2025,38(4	X
iajs-3927	171	2	)	)	PUNCT
iajs-3927	171	3	321	321	NUM
iajs-3927	171	4	table	table	NOUN
iajs-3927	171	5	3	3	NUM
iajs-3927	171	6	.	.	PUNCT
iajs-3927	171	7	model	model	NOUN
iajs-3927	171	8	for	for	ADP
iajs-3927	171	9	mle	mle	PROPN
iajs-3927	171	10	and	and	CCONJ
iajs-3927	171	11	mar	mar	PROPN
iajs-3927	171	12	with	with	ADP
iajs-3927	171	13	r	r	NOUN
iajs-3927	171	14	=	=	NOUN
iajs-3927	171	15	1000	1000	NUM
iajs-3927	171	16	.	.	PUNCT
iajs-3927	172	1	n	n	PROPN
iajs-3927	172	2	mle	mle	PROPN
iajs-3927	172	3	mar	mar	PROPN
iajs-3927	172	4	mse	mse	PROPN
iajs-3927	172	5	mpe	mpe	PROPN
iajs-3927	172	6	mse	mse	PROPN
iajs-3927	172	7	mpe	mpe	PROPN
iajs-3927	172	8	30	30	NUM
iajs-3927	172	9	2.8766e-30	2.8766e-30	NUM
iajs-3927	172	10	478.8193	478.8193	NUM
iajs-3927	172	11	2.3028e-28	2.3028e-28	NUM
iajs-3927	172	12	290.8784	290.8784	NUM
iajs-3927	172	13	3.1873e-30	3.1873e-30	NUM
iajs-3927	172	14	494.8485	494.8485	NUM
iajs-3927	172	15	2.9650e-29	2.9650e-29	NUM
iajs-3927	172	16	291.8135	291.8135	NUM
iajs-3927	172	17	3.3537e-29	3.3537e-29	NUM
iajs-3927	172	18	457.6450	457.6450	NUM
iajs-3927	172	19	2.3573e-28	2.3573e-28	NUM
iajs-3927	172	20	290.2070	290.2070	NUM
iajs-3927	172	21	7.6527e-29	7.6527e-29	NUM
iajs-3927	172	22	386.0229	386.0229	NUM
iajs-3927	172	23	2.2490e-28	2.2490e-28	NUM
iajs-3927	172	24	317.8166	317.8166	NUM
iajs-3927	172	25	50	50	NUM
iajs-3927	172	26	8.9955e-31	8.9955e-31	NUM
iajs-3927	172	27	233.6525	233.6525	NUM
iajs-3927	172	28	5.7334e-27	5.7334e-27	NUM
iajs-3927	172	29	124.4451	124.4451	NUM
iajs-3927	172	30	7.5749e-31	7.5749e-31	NUM
iajs-3927	172	31	226.1102	226.1102	NUM
iajs-3927	172	32	1.3022e-27	1.3022e-27	NUM
iajs-3927	172	33	124.1611	124.1611	NUM
iajs-3927	172	34	2.2024e-30	2.2024e-30	NUM
iajs-3927	172	35	210.4893	210.4893	NUM
iajs-3927	172	36	2.6904e-28	2.6904e-28	NUM
iajs-3927	172	37	139.5043	139.5043	NUM
iajs-3927	172	38	8.5978e-29	8.5978e-29	NUM
iajs-3927	172	39	171.0632	171.0632	NUM
iajs-3927	172	40	5.4177e-28	5.4177e-28	NUM
iajs-3927	172	41	127.1026	127.1026	NUM
iajs-3927	172	42	100	100	NUM
iajs-3927	172	43	1.3466e-30	1.3466e-30	NUM
iajs-3927	172	44	79.4712	79.4712	NUM
iajs-3927	172	45	1.3466e-30	1.3466e-30	NUM
iajs-3927	172	46	42.9843	42.9843	NUM
iajs-3927	172	47	1.5779e-29	1.5779e-29	NUM
iajs-3927	172	48	76.0834	76.0834	NUM
iajs-3927	172	49	9.3883e-28	9.3883e-28	NUM
iajs-3927	172	50	42.8568	42.8568	NUM
iajs-3927	172	51	1.9623e-29	1.9623e-29	NUM
iajs-3927	172	52	69.6642	69.6642	NUM
iajs-3927	172	53	2.3150e-27	2.3150e-27	NUM
iajs-3927	172	54	43.1488	43.1488	NUM
iajs-3927	172	55	1.1461e-27	1.1461e-27	NUM
iajs-3927	172	56	59.9664	59.9664	NUM
iajs-3927	172	57	3.1794e-28	3.1794e-28	NUM
iajs-3927	172	58	43.9696	43.9696	NUM
iajs-3927	172	59	draw	draw	VERB
iajs-3927	172	60	the	the	DET
iajs-3927	172	61	results	result	NOUN
iajs-3927	172	62	in	in	ADP
iajs-3927	172	63	table	table	NOUN
iajs-3927	172	64	3	3	NUM
iajs-3927	172	65	,	,	PUNCT
iajs-3927	172	66	as	as	SCONJ
iajs-3927	172	67	shown	show	VERB
iajs-3927	172	68	in	in	ADP
iajs-3927	172	69	figure	figure	NOUN
iajs-3927	172	70	3	3	NUM
iajs-3927	172	71	.	.	NOUN
iajs-3927	172	72	,	,	PUNCT
iajs-3927	172	73	r	r	NOUN
iajs-3927	172	74	=	=	NOUN
iajs-3927	172	75	1000	1000	NUM
iajs-3927	172	76	,	,	PUNCT
iajs-3927	172	77	r	r	NOUN
iajs-3927	172	78	=	=	NOUN
iajs-3927	172	79	1000	1000	NUM
iajs-3927	172	80	,	,	PUNCT
iajs-3927	172	81	r	r	NOUN
iajs-3927	172	82	=	=	NOUN
iajs-3927	172	83	1000	1000	NUM
iajs-3927	172	84	,	,	PUNCT
iajs-3927	172	85	r	r	NOUN
iajs-3927	172	86	=	=	NOUN
iajs-3927	172	87	1000	1000	NUM
iajs-3927	172	88	,	,	PUNCT
iajs-3927	172	89	r	r	NOUN
iajs-3927	172	90	=	=	NOUN
iajs-3927	172	91	1000	1000	NUM
iajs-3927	172	92	,	,	PUNCT
iajs-3927	172	93	r	r	NOUN
iajs-3927	172	94	=	=	NOUN
iajs-3927	172	95	1000	1000	NUM
iajs-3927	172	96	,	,	PUNCT
iajs-3927	172	97	r	r	NOUN
iajs-3927	172	98	=	=	NOUN
iajs-3927	172	99	1000	1000	NUM
iajs-3927	172	100	,	,	PUNCT
iajs-3927	172	101	r	r	NOUN
iajs-3927	172	102	=	=	NOUN
iajs-3927	172	103	1000	1000	NUM
iajs-3927	172	104	,	,	PUNCT
iajs-3927	172	105	r	r	NOUN
iajs-3927	172	106	=	=	NOUN
iajs-3927	172	107	1000	1000	NUM
iajs-3927	172	108	,	,	PUNCT
iajs-3927	172	109	r	r	NOUN
iajs-3927	172	110	=	=	NOUN
iajs-3927	172	111	1000	1000	NUM
iajs-3927	172	112	,	,	PUNCT
iajs-3927	172	113	r	r	NOUN
iajs-3927	172	114	=	=	NOUN
iajs-3927	172	115	1000	1000	NUM
iajs-3927	172	116	,	,	PUNCT
iajs-3927	172	117	r	r	NOUN
iajs-3927	172	118	=	=	SYM
iajs-3927	172	119	1000	1000	NUM
iajs-3927	172	120	figure	figure	NOUN
iajs-3927	172	121	3	3	NUM
iajs-3927	172	122	.	.	PUNCT
iajs-3927	172	123	model	model	NOUN
iajs-3927	172	124	for	for	ADP
iajs-3927	172	125	mle	mle	PROPN
iajs-3927	172	126	and	and	CCONJ
iajs-3927	172	127	mar	mar	PROPN
iajs-3927	172	128	with	with	ADP
iajs-3927	172	129	.	.	PUNCT
iajs-3927	173	1	the	the	DET
iajs-3927	173	2	second	second	ADJ
iajs-3927	173	3	experiment	experiment	NOUN
iajs-3927	173	4	was	be	AUX
iajs-3927	173	5	designed	design	VERB
iajs-3927	173	6	to	to	PART
iajs-3927	173	7	calculate	calculate	VERB
iajs-3927	173	8	mle	mle	PROPN
iajs-3927	173	9	and	and	CCONJ
iajs-3927	173	10	mar	mar	PROPN
iajs-3927	173	11	for	for	ADP
iajs-3927	173	12	time	time	NOUN
iajs-3927	173	13	series	series	PROPN
iajs-3927	173	14	values	value	NOUN
iajs-3927	173	15	for	for	ADP
iajs-3927	173	16	with	with	ADP
iajs-3927	173	17	(	(	PUNCT
iajs-3927	173	18	and	and	CCONJ
iajs-3927	173	19	)	)	PUNCT
iajs-3927	173	20	,	,	PUNCT
iajs-3927	173	21	and	and	CCONJ
iajs-3927	173	22	(	(	PUNCT
iajs-3927	173	23	and	and	CCONJ
iajs-3927	173	24	)	)	PUNCT
iajs-3927	173	25	,	,	PUNCT
iajs-3927	173	26	sample	sample	NOUN
iajs-3927	173	27	size	size	NOUN
iajs-3927	173	28	(	(	PUNCT
iajs-3927	173	29	and	and	CCONJ
iajs-3927	173	30	)	)	PUNCT
iajs-3927	173	31	,	,	PUNCT
iajs-3927	173	32	and	and	CCONJ
iajs-3927	173	33	number	number	NOUN
iajs-3927	173	34	of	of	ADP
iajs-3927	173	35	replicate	replicate	NOUN
iajs-3927	173	36	(	(	PUNCT
iajs-3927	173	37	and	and	CCONJ
iajs-3927	173	38	)	)	PUNCT
iajs-3927	173	39	.	.	PUNCT
iajs-3927	174	1	the	the	DET
iajs-3927	174	2	results	result	NOUN
iajs-3927	174	3	of	of	ADP
iajs-3927	174	4	this	this	DET
iajs-3927	174	5	experiment	experiment	NOUN
iajs-3927	174	6	are	be	AUX
iajs-3927	174	7	given	give	VERB
iajs-3927	174	8	by	by	ADP
iajs-3927	174	9	tables	table	NOUN
iajs-3927	174	10	4	4	NUM
iajs-3927	174	11	,	,	PUNCT
iajs-3927	174	12	5	5	NUM
iajs-3927	174	13	,	,	PUNCT
iajs-3927	174	14	and	and	CCONJ
iajs-3927	174	15	6	6	NUM
iajs-3927	174	16	.	.	PUNCT
iajs-3927	175	1	regarding	regard	VERB
iajs-3927	175	2	the	the	DET
iajs-3927	175	3	mse	mse	PROPN
iajs-3927	175	4	and	and	CCONJ
iajs-3927	175	5	mpe	mpe	PROPN
iajs-3927	175	6	criteria	criterion	NOUN
iajs-3927	175	7	,	,	PUNCT
iajs-3927	175	8	we	we	PRON
iajs-3927	175	9	can	can	AUX
iajs-3927	175	10	see	see	VERB
iajs-3927	175	11	from	from	ADP
iajs-3927	175	12	the	the	DET
iajs-3927	175	13	given	give	VERB
iajs-3927	175	14	tables	table	NOUN
iajs-3927	175	15	that	that	SCONJ
iajs-3927	175	16	the	the	DET
iajs-3927	175	17	values	value	NOUN
iajs-3927	175	18	of	of	ADP
iajs-3927	175	19	mse	mse	NOUN
iajs-3927	175	20	and	and	CCONJ
iajs-3927	175	21	mpe	mpe	ADJ
iajs-3927	175	22	decrease	decrease	NOUN
iajs-3927	175	23	with	with	ADP
iajs-3927	175	24	increasing	increase	VERB
iajs-3927	175	25	ihjpas	ihjpa	NOUN
iajs-3927	175	26	.	.	PUNCT
iajs-3927	176	1	2025,38(4	2025,38(4	X
iajs-3927	176	2	)	)	PUNCT
iajs-3927	176	3	322	322	NUM
iajs-3927	176	4	sample	sample	NOUN
iajs-3927	176	5	size	size	NOUN
iajs-3927	176	6	n	n	NOUN
iajs-3927	176	7	for	for	ADP
iajs-3927	176	8	each	each	DET
iajs-3927	176	9	value	value	NOUN
iajs-3927	176	10	of	of	ADP
iajs-3927	176	11	for	for	ADP
iajs-3927	176	12	mle	mle	PROPN
iajs-3927	176	13	and	and	CCONJ
iajs-3927	176	14	mar	mar	PROPN
iajs-3927	176	15	.	.	PUNCT
iajs-3927	177	1	the	the	DET
iajs-3927	177	2	values	value	NOUN
iajs-3927	177	3	of	of	ADP
iajs-3927	177	4	mpe	mpe	NOUN
iajs-3927	177	5	of	of	ADP
iajs-3927	177	6	both	both	DET
iajs-3927	177	7	methods	method	NOUN
iajs-3927	177	8	become	become	VERB
iajs-3927	177	9	closer	close	ADJ
iajs-3927	177	10	as	as	SCONJ
iajs-3927	177	11	the	the	DET
iajs-3927	177	12	sample	sample	NOUN
iajs-3927	177	13	size	size	NOUN
iajs-3927	177	14	increases	increase	VERB
iajs-3927	177	15	for	for	ADP
iajs-3927	177	16	different	different	ADJ
iajs-3927	177	17	values	value	NOUN
iajs-3927	177	18	of	of	ADP
iajs-3927	177	19	.	.	PUNCT
iajs-3927	178	1	the	the	DET
iajs-3927	178	2	mse	mse	PROPN
iajs-3927	178	3	and	and	CCONJ
iajs-3927	178	4	mpe	mpe	PROPN
iajs-3927	178	5	values	value	NOUN
iajs-3927	178	6	decrease	decrease	VERB
iajs-3927	178	7	with	with	ADP
iajs-3927	178	8	decreasing	decrease	VERB
iajs-3927	178	9	replication	replication	NOUN
iajs-3927	178	10	for	for	ADP
iajs-3927	178	11	each	each	DET
iajs-3927	178	12	value	value	NOUN
iajs-3927	178	13	of	of	ADP
iajs-3927	178	14	.	.	PUNCT
iajs-3927	179	1	the	the	DET
iajs-3927	179	2	values	value	NOUN
iajs-3927	179	3	of	of	ADP
iajs-3927	179	4	mpe	mpe	PROPN
iajs-3927	179	5	indicate	indicate	VERB
iajs-3927	179	6	mar	mar	PROPN
iajs-3927	179	7	is	be	AUX
iajs-3927	179	8	better	well	ADJ
iajs-3927	179	9	than	than	ADP
iajs-3927	179	10	mle	mle	NOUN
iajs-3927	179	11	where	where	SCONJ
iajs-3927	179	12	most	most	ADJ
iajs-3927	179	13	of	of	ADP
iajs-3927	179	14	the	the	DET
iajs-3927	179	15	different	different	ADJ
iajs-3927	179	16	model	model	NOUN
iajs-3927	179	17	parameters	parameter	NOUN
iajs-3927	179	18	and	and	CCONJ
iajs-3927	179	19	sample	sample	NOUN
iajs-3927	179	20	size	size	NOUN
iajs-3927	179	21	.	.	PUNCT
iajs-3927	180	1	moreover	moreover	ADV
iajs-3927	180	2	,	,	PUNCT
iajs-3927	180	3	figures	figure	NOUN
iajs-3927	180	4	4	4	NUM
iajs-3927	180	5	,	,	PUNCT
iajs-3927	180	6	5	5	NUM
iajs-3927	180	7	,	,	PUNCT
iajs-3927	180	8	and	and	CCONJ
iajs-3927	180	9	6	6	NUM
iajs-3927	180	10	represent	represent	VERB
iajs-3927	180	11	the	the	DET
iajs-3927	180	12	estimated	estimate	VERB
iajs-3927	180	13	model	model	NOUN
iajs-3927	180	14	for	for	ADP
iajs-3927	180	15	the	the	DET
iajs-3927	180	16	time	time	NOUN
iajs-3927	180	17	series	series	NOUN
iajs-3927	180	18	when	when	SCONJ
iajs-3927	180	19	,	,	PUNCT
iajs-3927	180	20	respectively	respectively	ADV
iajs-3927	180	21	,	,	PUNCT
iajs-3927	180	22	the	the	DET
iajs-3927	180	23	red	red	ADJ
iajs-3927	180	24	graph	graph	NOUN
iajs-3927	180	25	refers	refer	VERB
iajs-3927	180	26	to	to	ADP
iajs-3927	180	27	the	the	DET
iajs-3927	180	28	generated	generate	VERB
iajs-3927	180	29	simulated	simulate	VERB
iajs-3927	180	30	model	model	NOUN
iajs-3927	180	31	,	,	PUNCT
iajs-3927	180	32	the	the	DET
iajs-3927	180	33	blue	blue	ADJ
iajs-3927	180	34	graph	graph	NOUN
iajs-3927	180	35	refers	refer	VERB
iajs-3927	180	36	to	to	ADP
iajs-3927	180	37	the	the	DET
iajs-3927	180	38	model	model	NOUN
iajs-3927	180	39	estimated	estimate	VERB
iajs-3927	180	40	via	via	ADP
iajs-3927	180	41	exact	exact	ADJ
iajs-3927	180	42	likelihood	likelihood	NOUN
iajs-3927	180	43	,	,	PUNCT
iajs-3927	180	44	and	and	CCONJ
iajs-3927	180	45	the	the	DET
iajs-3927	180	46	green	green	ADJ
iajs-3927	180	47	graph	graph	NOUN
iajs-3927	180	48	refers	refer	VERB
iajs-3927	180	49	to	to	ADP
iajs-3927	180	50	the	the	DET
iajs-3927	180	51	estimated	estimate	VERB
iajs-3927	180	52	model	model	NOUN
iajs-3927	180	53	by	by	ADP
iajs-3927	180	54	using	use	VERB
iajs-3927	180	55	the	the	DET
iajs-3927	180	56	likelihood	likelihood	NOUN
iajs-3927	180	57	function	function	NOUN
iajs-3927	180	58	via	via	ADP
iajs-3927	180	59	the	the	DET
iajs-3927	180	60	marginal	marginal	ADJ
iajs-3927	180	61	distribution	distribution	NOUN
iajs-3927	180	62	of	of	ADP
iajs-3927	180	63	the	the	DET
iajs-3927	180	64	time	time	NOUN
iajs-3927	180	65	series	series	NOUN
iajs-3927	180	66	.	.	PUNCT
iajs-3927	181	1	in	in	ADP
iajs-3927	181	2	figures	figure	NOUN
iajs-3927	181	3	4	4	NUM
iajs-3927	181	4	,	,	PUNCT
iajs-3927	181	5	5	5	NUM
iajs-3927	181	6	,	,	PUNCT
iajs-3927	181	7	and	and	CCONJ
iajs-3927	181	8	6	6	NUM
iajs-3927	181	9	,	,	PUNCT
iajs-3927	181	10	we	we	PRON
iajs-3927	181	11	notice	notice	VERB
iajs-3927	181	12	that	that	SCONJ
iajs-3927	181	13	all	all	DET
iajs-3927	181	14	-	-	PUNCT
iajs-3927	181	15	time	time	NOUN
iajs-3927	181	16	series	series	NOUN
iajs-3927	181	17	are	be	AUX
iajs-3927	181	18	stable	stable	ADJ
iajs-3927	181	19	at	at	ADP
iajs-3927	181	20	different	different	ADJ
iajs-3927	181	21	values	value	NOUN
iajs-3927	181	22	of	of	ADP
iajs-3927	181	23	the	the	DET
iajs-3927	181	24	sample	sample	NOUN
iajs-3927	181	25	size	size	NOUN
iajs-3927	181	26	and	and	CCONJ
iajs-3927	181	27	each	each	DET
iajs-3927	181	28	number	number	NOUN
iajs-3927	181	29	of	of	ADP
iajs-3927	181	30	replication	replication	NOUN
iajs-3927	181	31	.	.	PUNCT
iajs-3927	182	1	the	the	DET
iajs-3927	182	2	following	follow	VERB
iajs-3927	182	3	table	table	NOUN
iajs-3927	182	4	,	,	PUNCT
iajs-3927	182	5	as	as	ADV
iajs-3927	182	6	well	well	ADV
iajs-3927	182	7	as	as	ADP
iajs-3927	182	8	the	the	DET
iajs-3927	182	9	figure	figure	NOUN
iajs-3927	182	10	that	that	PRON
iajs-3927	182	11	is	be	AUX
iajs-3927	182	12	related	relate	VERB
iajs-3927	182	13	to	to	ADP
iajs-3927	182	14	it	it	PRON
iajs-3927	182	15	,	,	PUNCT
iajs-3927	182	16	represents	represent	VERB
iajs-3927	182	17	the	the	DET
iajs-3927	182	18	information	information	NOUN
iajs-3927	182	19	for	for	ADP
iajs-3927	182	20	the	the	DET
iajs-3927	182	21	second	second	ADJ
iajs-3927	182	22	experiment	experiment	NOUN
iajs-3927	182	23	in	in	ADP
iajs-3927	182	24	this	this	DET
iajs-3927	182	25	paper	paper	NOUN
iajs-3927	182	26	.	.	PUNCT
iajs-3927	183	1	for	for	ADP
iajs-3927	183	2	the	the	DET
iajs-3927	183	3	number	number	NOUN
iajs-3927	183	4	of	of	ADP
iajs-3927	183	5	replication	replication	NOUN
iajs-3927	183	6	,	,	PUNCT
iajs-3927	183	7	the	the	DET
iajs-3927	183	8	results	result	NOUN
iajs-3927	183	9	are	be	AUX
iajs-3927	183	10	given	give	VERB
iajs-3927	183	11	in	in	ADP
iajs-3927	183	12	table	table	NOUN
iajs-3927	183	13	4	4	NUM
iajs-3927	183	14	and	and	CCONJ
iajs-3927	183	15	figure	figure	VERB
iajs-3927	183	16	4	4	NUM
iajs-3927	183	17	.	.	PUNCT
iajs-3927	183	18	table	table	NOUN
iajs-3927	183	19	4	4	NUM
iajs-3927	183	20	.	.	PUNCT
iajs-3927	183	21	model	model	NOUN
iajs-3927	183	22	for	for	ADP
iajs-3927	183	23	mle	mle	PROPN
iajs-3927	183	24	and	and	CCONJ
iajs-3927	183	25	mar	mar	PROPN
iajs-3927	183	26	with	with	ADP
iajs-3927	183	27	.	.	PUNCT
iajs-3927	184	1	n	n	PROPN
iajs-3927	184	2	mle	mle	PROPN
iajs-3927	184	3	mar	mar	PROPN
iajs-3927	184	4	mse	mse	PROPN
iajs-3927	184	5	mpe	mpe	PROPN
iajs-3927	184	6	mse	mse	PROPN
iajs-3927	184	7	mpe	mpe	PROPN
iajs-3927	184	8	30	30	NUM
iajs-3927	184	9	7.4211e-40	7.4211e-40	NUM
iajs-3927	184	10	6.6789e-41	6.6789e-41	NUM
iajs-3927	184	11	0.0030	0.0030	NUM
iajs-3927	184	12	0.0016	0.0016	NUM
iajs-3927	184	13	1.2450e-34	1.2450e-34	NUM
iajs-3927	184	14	1.9921e-33	1.9921e-33	NUM
iajs-3927	184	15	1.4253	1.4253	NUM
iajs-3927	184	16	4.8494	4.8494	NUM
iajs-3927	184	17	4.2745e-39	4.2745e-39	NUM
iajs-3927	184	18	4.7495e-40	4.7495e-40	NUM
iajs-3927	184	19	0.0111	0.0111	NUM
iajs-3927	184	20	0.0096	0.0096	NUM
iajs-3927	184	21	0	0	NUM
iajs-3927	184	22	0	0	NUM
iajs-3927	184	23	1.4116	1.4116	NUM
iajs-3927	184	24	27.5439	27.5439	NUM
iajs-3927	184	25	0	0	NUM
iajs-3927	185	1	2.9684e-41	2.9684e-41	PROPN
iajs-3927	185	2	0.0024	0.0024	NUM
iajs-3927	185	3	0.0017	0.0017	NUM
iajs-3927	185	4	0	0	NUM
iajs-3927	186	1	4.9802e-34	4.9802e-34	NUM
iajs-3927	186	2	1.4233	1.4233	NUM
iajs-3927	186	3	6.4939	6.4939	NUM
iajs-3927	186	4	1.8553e-42	1.8553e-42	NUM
iajs-3927	186	5	2.8988e-42	2.8988e-42	NUM
iajs-3927	186	6	4.4416e-04	4.4416e-04	NUM
iajs-3927	186	7	1.9749e-04	1.9749e-04	NUM
iajs-3927	186	8	3.1126e-35	3.1126e-35	NUM
iajs-3927	186	9	3.1126e-35	3.1126e-35	NUM
iajs-3927	186	10	1.4428	1.4428	NUM
iajs-3927	186	11	1.3447	1.3447	NUM
iajs-3927	186	12	50	50	NUM
iajs-3927	186	13	2.6716e-40	2.6716e-40	NUM
iajs-3927	186	14	7.4211e-42	7.4211e-42	NUM
iajs-3927	186	15	0.0023	0.0023	NUM
iajs-3927	186	16	0.0013	0.0013	NUM
iajs-3927	186	17	1.2450e-34	1.2450e-34	NUM
iajs-3927	186	18	1.2450e-34	1.2450e-34	NUM
iajs-3927	186	19	0.8658	0.8658	NUM
iajs-3927	186	20	1.4350	1.4350	NUM
iajs-3927	186	21	1.8998e-37	1.8998e-37	NUM
iajs-3927	186	22	1.2159e-37	1.2159e-37	NUM
iajs-3927	186	23	0.0250	0.0250	NUM
iajs-3927	186	24	0.0228	0.0228	NUM
iajs-3927	186	25	7.0034e-35	7.0034e-35	NUM
iajs-3927	186	26	2.0399e-30	2.0399e-30	NUM
iajs-3927	186	27	0.8381	0.8381	NUM
iajs-3927	186	28	107.9930	107.9930	NUM
iajs-3927	186	29	1.1874e-40	1.1874e-40	NUM
iajs-3927	186	30	4.7495e-40	4.7495e-40	NUM
iajs-3927	186	31	0.0017	0.0017	NUM
iajs-3927	186	32	0.0015	0.0015	NUM
iajs-3927	186	33	7.0034e-35	7.0034e-35	NUM
iajs-3927	186	34	3.1126e-35	3.1126e-35	NUM
iajs-3927	186	35	0.8637	0.8637	NUM
iajs-3927	186	36	0.4945	0.4945	NUM
iajs-3927	186	37	2.9684e-41	2.9684e-41	NUM
iajs-3927	186	38	1.8553e-42	1.8553e-42	NUM
iajs-3927	186	39	6.1100e-04	6.1100e-04	NUM
iajs-3927	186	40	2.4482e-04	2.4482e-04	NUM
iajs-3927	186	41	7.0034e-35	7.0034e-35	NUM
iajs-3927	186	42	3.1126e-33	3.1126e-33	NUM
iajs-3927	186	43	0.8769	0.8769	NUM
iajs-3927	186	44	3.6684	3.6684	NUM
iajs-3927	186	45	100	100	NUM
iajs-3927	186	46	1.8998e-39	1.8998e-39	NUM
iajs-3927	186	47	2.9684e-41	2.9684e-41	NUM
iajs-3927	186	48	0.0015	0.0015	NUM
iajs-3927	186	49	8.5164e-04	8.5164e-04	NUM
iajs-3927	186	50	7.0034e-35	7.0034e-35	NUM
iajs-3927	186	51	7.9683e-3	7.9683e-3	NUM
iajs-3927	186	52	0.4533	0.4533	NUM
iajs-3927	186	53	7.7977	7.7977	NUM
iajs-3927	186	54	3.0397e-38	3.0397e-38	NOUN
iajs-3927	186	55	7.5992e-39	7.5992e-39	NUM
iajs-3927	186	56	0.0115	0.0115	NUM
iajs-3927	186	57	0.0103	0.0103	NUM
iajs-3927	186	58	3.1126e-35	3.1126e-35	NUM
iajs-3927	186	59	7.9683e-31	7.9683e-31	NUM
iajs-3927	186	60	0.4305	0.4305	NUM
iajs-3927	186	61	30.1493	30.1493	NUM
iajs-3927	186	62	4.7495e-40	4.7495e-40	NUM
iajs-3927	186	63	7.4211e-42	7.4211e-42	NUM
iajs-3927	186	64	8.6626e-04	8.6626e-04	NUM
iajs-3927	186	65	6.1362e-04	6.1362e-04	NUM
iajs-3927	186	66	0	0	NUM
iajs-3927	186	67	1.7929e-32	1.7929e-32	NUM
iajs-3927	187	1	0.4541	0.4541	NUM
iajs-3927	187	2	7.8653	7.8653	NUM
iajs-3927	187	3	0	0	NUM
iajs-3927	187	4	2.6090e-43	2.6090e-43	NUM
iajs-3927	187	5	3.2966e-04	3.2966e-04	NUM
iajs-3927	187	6	2.3317e-05	2.3317e-05	NUM
iajs-3927	187	7	3.1126e-35	3.1126e-35	NUM
iajs-3927	187	8	3.1873e-32	3.1873e-32	NUM
iajs-3927	187	9	0.4669	0.4669	NUM
iajs-3927	187	10	7.6017	7.6017	NUM
iajs-3927	187	11	the	the	DET
iajs-3927	187	12	plot	plot	NOUN
iajs-3927	187	13	of	of	ADP
iajs-3927	187	14	the	the	DET
iajs-3927	187	15	results	result	NOUN
iajs-3927	187	16	in	in	ADP
iajs-3927	187	17	table	table	NOUN
iajs-3927	187	18	4	4	NUM
iajs-3927	187	19	,	,	PUNCT
iajs-3927	187	20	as	as	SCONJ
iajs-3927	187	21	shown	show	VERB
iajs-3927	187	22	in	in	ADP
iajs-3927	187	23	figure	figure	NOUN
iajs-3927	187	24	4	4	NUM
iajs-3927	187	25	.	.	PUNCT
iajs-3927	187	26	ihjpas	ihjpas	PROPN
iajs-3927	187	27	.	.	PUNCT
iajs-3927	188	1	2025,38(4	2025,38(4	NUM
iajs-3927	188	2	)	)	PUNCT
iajs-3927	188	3	323	323	NUM
iajs-3927	188	4	figure	figure	NOUN
iajs-3927	188	5	4	4	NUM
iajs-3927	188	6	.	.	NOUN
iajs-3927	188	7	for	for	ADP
iajs-3927	188	8	mle	mle	PROPN
iajs-3927	188	9	and	and	CCONJ
iajs-3927	188	10	mar	mar	PROPN
iajs-3927	188	11	model	model	NOUN
iajs-3927	188	12	with	with	ADP
iajs-3927	188	13	.	.	PUNCT
iajs-3927	189	1	for	for	ADP
iajs-3927	189	2	the	the	DET
iajs-3927	189	3	number	number	NOUN
iajs-3927	189	4	of	of	ADP
iajs-3927	189	5	replication	replication	NOUN
iajs-3927	189	6	;	;	PUNCT
iajs-3927	189	7	the	the	DET
iajs-3927	189	8	results	result	NOUN
iajs-3927	189	9	are	be	AUX
iajs-3927	189	10	given	give	VERB
iajs-3927	189	11	in	in	ADP
iajs-3927	189	12	table	table	NOUN
iajs-3927	189	13	5	5	NUM
iajs-3927	189	14	and	and	CCONJ
iajs-3927	189	15	figure	figure	VERB
iajs-3927	189	16	5	5	NUM
iajs-3927	189	17	.	.	PUNCT
iajs-3927	189	18	table	table	NOUN
iajs-3927	189	19	5	5	NUM
iajs-3927	189	20	.	.	PUNCT
iajs-3927	189	21	)	)	PUNCT
iajs-3927	189	22	model	model	NOUN
iajs-3927	189	23	for	for	ADP
iajs-3927	189	24	mle	mle	PROPN
iajs-3927	189	25	and	and	CCONJ
iajs-3927	189	26	mar	mar	PROPN
iajs-3927	189	27	with	with	ADP
iajs-3927	189	28	n	n	PROPN
iajs-3927	189	29	mle	mle	PROPN
iajs-3927	189	30	mar	mar	PROPN
iajs-3927	189	31	mse	mse	PROPN
iajs-3927	189	32	mpe	mpe	PROPN
iajs-3927	189	33	mse	mse	PROPN
iajs-3927	189	34	mpe	mpe	PROPN
iajs-3927	190	1	30	30	NUM
iajs-3927	190	2	9.6177e-39	9.6177e-39	NUM
iajs-3927	190	3	8.5787e-39	8.5787e-39	NUM
iajs-3927	190	4	0.0042	0.0042	NUM
iajs-3927	190	5	0.0034	0.0034	NUM
iajs-3927	190	6	4.9802e-34	4.9802e-34	NUM
iajs-3927	191	1	4.9802e-34	4.9802e-34	NUM
iajs-3927	191	2	1.4365	1.4365	NUM
iajs-3927	191	3	5.1715	5.1715	NUM
iajs-3927	191	4	1.5388e-37	1.5388e-37	NUM
iajs-3927	191	5	4.7495e-38	4.7495e-38	NOUN
iajs-3927	191	6	mse_ml	mse_ml	PUNCT
iajs-3927	192	1	=	=	PUNCT
iajs-3927	193	1	4.7495e-38	4.7495e-38	NOUN
iajs-3927	193	2	0.0254	0.0254	NUM
iajs-3927	193	3	0.0221	0.0221	NUM
iajs-3927	193	4	4.4822e-33	4.4822e-33	DET
iajs-3927	193	5	1.4056e-29	1.4056e-29	NUM
iajs-3927	193	6	1.4125	1.4125	NUM
iajs-3927	193	7	99.4448	99.4448	NUM
iajs-3927	193	8	7.5992e-39	7.5992e-39	NUM
iajs-3927	193	9	5.8181e-39	5.8181e-39	NUM
iajs-3927	193	10	0.0038	0.0038	NUM
iajs-3927	193	11	0.0032	0.0032	NUM
iajs-3927	193	12	1.3151e-33	1.3151e-33	NUM
iajs-3927	193	13	4.0339e-32	4.0339e-32	NUM
iajs-3927	193	14	1.4287	1.4287	NUM
iajs-3927	193	15	14.2587	14.2587	NUM
iajs-3927	193	16	2.4536e-40	2.4536e-40	NUM
iajs-3927	193	17	4.1743e-42	4.1743e-42	NUM
iajs-3927	193	18	5.1827e-04	5.1827e-04	NUM
iajs-3927	193	19	1.2615e-04	1.2615e-04	NUM
iajs-3927	193	20	1.5252e-33	1.5252e-33	NUM
iajs-3927	193	21	1.7508e-33	1.7508e-33	NUM
iajs-3927	193	22	1.4517	1.4517	NUM
iajs-3927	193	23	0.9196	0.9196	NUM
iajs-3927	193	24	50	50	NUM
iajs-3927	193	25	2.6716e-40	2.6716e-40	NUM
iajs-3927	193	26	2.4536e-40	2.4536e-40	NUM
iajs-3927	193	27	8.8243e-04	8.8243e-04	NUM
iajs-3927	193	28	3.2758e-04	3.2758e-04	NUM
iajs-3927	193	29	3.7663e-33	3.7663e-33	NUM
iajs-3927	193	30	6.1007e-33	6.1007e-33	NUM
iajs-3927	193	31	0.8814	0.8814	NUM
iajs-3927	193	32	3.4285	3.4285	NUM
iajs-3927	193	33	4.8635e-37	4.8635e-37	NUM
iajs-3927	193	34	2.0945e-37	2.0945e-37	NUM
iajs-3927	193	35	0.0083	0.0083	NUM
iajs-3927	193	36	0.0072	0.0072	NUM
iajs-3927	193	37	2.8091e-33	2.8091e-33	NUM
iajs-3927	193	38	5.0997e-31	5.0997e-31	NUM
iajs-3927	193	39	0.8582	0.8582	NUM
iajs-3927	193	40	14.0768	14.0768	NUM
iajs-3927	193	41	1.0716e-38	1.0716e-38	NUM
iajs-3927	193	42	2.4044e-39	2.4044e-39	NUM
iajs-3927	193	43	0.0020	0.0020	NUM
iajs-3927	193	44	0.0014	0.0014	NUM
iajs-3927	193	45	1.1205e-33	1.1205e-33	NUM
iajs-3927	193	46	6.1007e-33	6.1007e-33	NUM
iajs-3927	193	47	0.8675	0.8675	NUM
iajs-3927	193	48	1.3755	1.3755	NUM
iajs-3927	193	49	7.4211e-42	7.4211e-42	NUM
iajs-3927	193	50	4.8991e-42	4.8991e-42	NUM
iajs-3927	193	51	8.6381e-04	8.6381e-04	NUM
iajs-3927	193	52	4.9186e-05	4.9186e-05	NUM
iajs-3927	193	53	1.7508e-33	1.7508e-33	NUM
iajs-3927	193	54	1.2450e-32	1.2450e-32	NUM
iajs-3927	193	55	0.8805	0.8805	NUM
iajs-3927	194	1	3.3063	3.3063	NUM
iajs-3927	194	2	100	100	NUM
iajs-3927	194	3	2.6716e-38	2.6716e-38	NUM
iajs-3927	194	4	5.0166e-39	5.0166e-39	NUM
iajs-3927	194	5	0.0014	0.0014	NUM
iajs-3927	194	6	7.5191e-04	7.5191e-04	NUM
iajs-3927	194	7	1.9454e-34	1.9454e-34	NUM
iajs-3927	194	8	1.4522e-30	1.4522e-30	NUM
iajs-3927	194	9	0.4573	0.4573	NUM
iajs-3927	194	10	7.8931	7.8931	NUM
iajs-3927	194	11	7.5992e-39	7.5992e-39	NUM
iajs-3927	194	12	0	0	NUM
iajs-3927	195	1	0.0099	0.0099	NUM
iajs-3927	195	2	0.0085	0.0085	NUM
iajs-3927	195	3	7.7815e-36	7.7815e-36	NUM
iajs-3927	195	4	1.5618e-30	1.5618e-30	NUM
iajs-3927	195	5	0.4349	0.4349	NUM
iajs-3927	195	6	24.5102	24.5102	NUM
iajs-3927	195	7	2.9684e-41	2.9684e-41	NUM
iajs-3927	195	8	1.0686e-39	1.0686e-39	NUM
iajs-3927	195	9	9.4607e-04	9.4607e-04	NUM
iajs-3927	195	10	4.3304e-04	4.3304e-04	NUM
iajs-3927	195	11	0	0	NUM
iajs-3927	195	12	5.7571e-31	5.7571e-31	NUM
iajs-3927	195	13	0.4552	0.4552	NUM
iajs-3927	195	14	7.6444	7.6444	NUM
iajs-3927	195	15	1.8553e-40	1.8553e-40	NUM
iajs-3927	195	16	1.0436e-42	1.0436e-42	NUM
iajs-3927	195	17	1.8933e-04	1.8933e-04	NUM
iajs-3927	195	18	4.1176e-05	4.1176e-05	NUM
iajs-3927	195	19	7.7815e-34	7.7815e-34	NUM
iajs-3927	195	20	2.8686e-31	2.8686e-31	NUM
iajs-3927	195	21	0.4687	0.4687	NUM
iajs-3927	195	22	7.7983	7.7983	NUM
iajs-3927	195	23	ihjpas	ihjpa	NOUN
iajs-3927	195	24	.	.	PUNCT
iajs-3927	196	1	2025,38(4	2025,38(4	NOUN
iajs-3927	196	2	)	)	PUNCT
iajs-3927	196	3	324	324	NUM
iajs-3927	197	1	the	the	DET
iajs-3927	197	2	plot	plot	NOUN
iajs-3927	197	3	of	of	ADP
iajs-3927	197	4	the	the	DET
iajs-3927	197	5	results	result	NOUN
iajs-3927	197	6	in	in	ADP
iajs-3927	197	7	table	table	NOUN
iajs-3927	197	8	5	5	NUM
iajs-3927	197	9	,	,	PUNCT
iajs-3927	197	10	as	as	SCONJ
iajs-3927	197	11	shown	show	VERB
iajs-3927	197	12	in	in	ADP
iajs-3927	197	13	figure	figure	NOUN
iajs-3927	197	14	5	5	NUM
iajs-3927	197	15	.	.	PUNCT
iajs-3927	197	16	figure	figure	NOUN
iajs-3927	197	17	5	5	NUM
iajs-3927	197	18	.	.	PUNCT
iajs-3927	197	19	model	model	NOUN
iajs-3927	197	20	with	with	ADP
iajs-3927	197	21	.	.	PUNCT
iajs-3927	198	1	for	for	ADP
iajs-3927	198	2	the	the	DET
iajs-3927	198	3	number	number	NOUN
iajs-3927	198	4	of	of	ADP
iajs-3927	198	5	replication	replication	NOUN
iajs-3927	198	6	the	the	DET
iajs-3927	198	7	results	result	NOUN
iajs-3927	198	8	are	be	AUX
iajs-3927	198	9	given	give	VERB
iajs-3927	198	10	in	in	ADP
iajs-3927	198	11	table	table	NOUN
iajs-3927	198	12	6	6	NUM
iajs-3927	198	13	and	and	CCONJ
iajs-3927	198	14	figure	figure	VERB
iajs-3927	198	15	6	6	NUM
iajs-3927	198	16	.	.	PUNCT
iajs-3927	198	17	table	table	NOUN
iajs-3927	198	18	6	6	NUM
iajs-3927	198	19	.	.	PUNCT
iajs-3927	198	20	model	model	NOUN
iajs-3927	198	21	for	for	ADP
iajs-3927	198	22	mle	mle	PROPN
iajs-3927	198	23	and	and	CCONJ
iajs-3927	198	24	mar	mar	PROPN
iajs-3927	198	25	with	with	ADP
iajs-3927	198	26	n	n	PROPN
iajs-3927	198	27	mle	mle	PROPN
iajs-3927	198	28	mar	mar	PROPN
iajs-3927	198	29	mse	mse	PROPN
iajs-3927	198	30	mpe	mpe	PROPN
iajs-3927	198	31	mse	mse	PROPN
iajs-3927	198	32	mpe	mpe	PROPN
iajs-3927	198	33	30	30	NUM
iajs-3927	198	34	7.4211e-38	7.4211e-38	NOUN
iajs-3927	198	35	1.0686e-39	1.0686e-39	NUM
iajs-3927	198	36	0.0046	0.0046	NUM
iajs-3927	198	37	0.0025	0.0025	NUM
iajs-3927	198	38	4.4822e-33	4.4822e-33	NUM
iajs-3927	198	39	7.0034e-31	7.0034e-31	NUM
iajs-3927	198	40	1.4337	1.4337	NUM
iajs-3927	198	41	9.1800	9.1800	NUM
iajs-3927	198	42	4.0200e-36	4.0200e-36	NUM
iajs-3927	198	43	8.3781e-37	8.3781e-37	NUM
iajs-3927	198	44	0.0275	0.0275	NUM
iajs-3927	199	1	0.0250	0.0250	NUM
iajs-3927	199	2	7.0034e-33	7.0034e-33	NUM
iajs-3927	199	3	2.4989e-29	2.4989e-29	NUM
iajs-3927	199	4	1.4137	1.4137	NUM
iajs-3927	199	5	102.4699	102.4699	NUM
iajs-3927	199	6	7.5992e-39	7.5992e-39	NUM
iajs-3927	199	7	9.0908e-39	9.0908e-39	NUM
iajs-3927	199	8	0.0028	0.0028	NUM
iajs-3927	199	9	0.0013	0.0013	NUM
iajs-3927	199	10	4.4822e-33	4.4822e-33	PROPN
iajs-3927	199	11	2.6345e-31	2.6345e-31	NUM
iajs-3927	199	12	1.4317	1.4317	NUM
iajs-3927	199	13	11.8544	11.8544	NUM
iajs-3927	199	14	3.7569e-41	3.7569e-41	NUM
iajs-3927	199	15	1.2627e-40	1.2627e-40	NUM
iajs-3927	199	16	4.9649e-04	4.9649e-04	NUM
iajs-3927	199	17	2.3499e-04	2.3499e-04	NUM
iajs-3927	199	18	9.5324e-33	9.5324e-33	NUM
iajs-3927	199	19	1.0653e-32	1.0653e-32	NUM
iajs-3927	199	20	1.4550	1.4550	NUM
iajs-3927	199	21	1.2305	1.2305	NUM
iajs-3927	199	22	50	50	NUM
iajs-3927	199	23	8.6559e-38	8.6559e-38	NUM
iajs-3927	199	24	6.8392e-38	6.8392e-38	NOUN
iajs-3927	199	25	0.0040	0.0040	NUM
iajs-3927	199	26	0.0029	0.0029	NUM
iajs-3927	199	27	4.4822e-33	4.4822e-33	NUM
iajs-3927	199	28	5.2323e-32	5.2323e-32	NUM
iajs-3927	199	29	0.8680	0.8680	NUM
iajs-3927	199	30	1.6382	1.6382	NUM
iajs-3927	199	31	8.3781e-37	8.3781e-37	NUM
iajs-3927	199	32	2.7357e-37	2.7357e-37	NUM
iajs-3927	199	33	0.0196	0.0196	NUM
iajs-3927	199	34	0.0176	0.0176	NUM
iajs-3927	199	35	1.9921e-33	1.9921e-33	NUM
iajs-3927	199	36	6.1706e-29	6.1706e-29	NUM
iajs-3927	199	37	0.8484	0.8484	NUM
iajs-3927	199	38	72.0161	72.0161	NUM
iajs-3927	199	39	2.1640e-38	2.1640e-38	NUM
iajs-3927	199	40	2.0846e-38	2.0846e-38	NUM
iajs-3927	199	41	0.0021	0.0021	NUM
iajs-3927	199	42	0.0013	0.0013	NUM
iajs-3927	199	43	1.7508e-33	1.7508e-33	NUM
iajs-3927	199	44	8.9955e-33	8.9955e-33	NUM
iajs-3927	199	45	0.8681	0.8681	NUM
iajs-3927	199	46	1.5923	1.5923	NUM
iajs-3927	199	47	1.6697e-39	1.6697e-39	NUM
iajs-3927	199	48	8.9795e-40	8.9795e-40	NUM
iajs-3927	199	49	7.1442e-04	7.1442e-04	NUM
iajs-3927	199	50	3.6851e-04	3.6851e-04	NUM
iajs-3927	199	51	2.8091e-33	2.8091e-33	NUM
iajs-3927	199	52	1.2749e-31	1.2749e-31	NUM
iajs-3927	199	53	0.8864	0.8864	NUM
iajs-3927	199	54	3.8168	3.8168	NUM
iajs-3927	199	55	100	100	NUM
iajs-3927	199	56	1.8998e-37	1.8998e-37	NUM
iajs-3927	199	57	2.0067e-38	2.0067e-38	NUM
iajs-3927	199	58	0.0015	0.0015	NUM
iajs-3927	199	59	0.0011	0.0011	NUM
iajs-3927	199	60	1.1237e-32	1.1237e-32	NUM
iajs-3927	199	61	1.4522e-30	1.4522e-30	NUM
iajs-3927	199	62	0.4588	0.4588	NUM
iajs-3927	199	63	7.9779	7.9779	NUM
iajs-3927	199	64	2.7357e-37	2.7357e-37	NUM
iajs-3927	199	65	1.0050e-36	1.0050e-36	NUM
iajs-3927	199	66	0.0110	0.0110	NUM
iajs-3927	199	67	0.0098	0.0098	NUM
iajs-3927	199	68	7.9683e-33	7.9683e-33	NUM
iajs-3927	199	69	3.2638e-29	3.2638e-29	NUM
iajs-3927	199	70	0.4351	0.4351	NOUN
iajs-3927	199	71	25.8946	25.8946	NUM
iajs-3927	199	72	2.6716e-40	2.6716e-40	NUM
iajs-3927	199	73	1.0716e-38	1.0716e-38	NUM
iajs-3927	199	74	8.8139e-04	8.8139e-04	NUM
iajs-3927	199	75	6.4366e-04	6.4366e-04	NUM
iajs-3927	199	76	3.4317e-33	3.4317e-33	NUM
iajs-3927	199	77	3.5140e-30	3.5140e-30	NUM
iajs-3927	199	78	0.4591	0.4591	NUM
iajs-3927	199	79	7.9920	7.9920	NUM
iajs-3927	199	80	8.1817e-40	8.1817e-40	NUM
iajs-3927	199	81	2.4536e-40	2.4536e-40	NUM
iajs-3927	199	82	2.1775e-04	2.1775e-04	NUM
iajs-3927	199	83	6.3309e-05	6.3309e-05	NUM
iajs-3927	199	84	3.8130e-34	3.8130e-34	NUM
iajs-3927	199	85	0	0	NUM
iajs-3927	199	86	0.4734	0.4734	NUM
iajs-3927	199	87	7.5106	7.5106	NUM
iajs-3927	199	88	ihjpas	ihjpa	NOUN
iajs-3927	199	89	.	.	PUNCT
iajs-3927	200	1	2025,38(4	2025,38(4	NOUN
iajs-3927	200	2	)	)	PUNCT
iajs-3927	200	3	325	325	NUM
iajs-3927	200	4	the	the	DET
iajs-3927	200	5	following	follow	VERB
iajs-3927	200	6	figure	figure	NOUN
iajs-3927	200	7	helps	help	VERB
iajs-3927	200	8	us	we	PRON
iajs-3927	200	9	show	show	VERB
iajs-3927	200	10	the	the	DET
iajs-3927	200	11	results	result	NOUN
iajs-3927	200	12	in	in	ADP
iajs-3927	200	13	table	table	NOUN
iajs-3927	200	14	6	6	NUM
iajs-3927	200	15	.	.	PUNCT
iajs-3927	201	1	figure	figure	VERB
iajs-3927	201	2	6	6	NUM
iajs-3927	201	3	.	.	PUNCT
iajs-3927	201	4	model	model	NOUN
iajs-3927	201	5	for	for	ADP
iajs-3927	201	6	mle	mle	PROPN
iajs-3927	201	7	and	and	CCONJ
iajs-3927	201	8	mar	mar	PROPN
iajs-3927	201	9	with	with	ADP
iajs-3927	201	10	.	.	PUNCT
iajs-3927	202	1	the	the	DET
iajs-3927	202	2	third	third	ADJ
iajs-3927	202	3	experiment	experiment	NOUN
iajs-3927	202	4	is	be	AUX
iajs-3927	202	5	designed	design	VERB
iajs-3927	202	6	to	to	PART
iajs-3927	202	7	calculate	calculate	VERB
iajs-3927	202	8	mle	mle	PROPN
iajs-3927	202	9	and	and	CCONJ
iajs-3927	202	10	mar	mar	PROPN
iajs-3927	202	11	for	for	ADP
iajs-3927	202	12	time	time	NOUN
iajs-3927	203	1	series	series	PROPN
iajs-3927	203	2	values	value	NOUN
iajs-3927	203	3	for	for	ADP
iajs-3927	203	4	,	,	PUNCT
iajs-3927	203	5	with	with	ADP
iajs-3927	203	6	(	(	PUNCT
iajs-3927	203	7	and	and	CCONJ
iajs-3927	203	8	)	)	PUNCT
iajs-3927	203	9	,	,	PUNCT
iajs-3927	203	10	(	(	PUNCT
iajs-3927	203	11	and	and	CCONJ
iajs-3927	203	12	)	)	PUNCT
iajs-3927	203	13	,	,	PUNCT
iajs-3927	203	14	and	and	CCONJ
iajs-3927	203	15	(	(	PUNCT
iajs-3927	203	16	and	and	CCONJ
iajs-3927	203	17	)	)	PUNCT
iajs-3927	203	18	,	,	PUNCT
iajs-3927	203	19	sample	sample	NOUN
iajs-3927	203	20	size	size	NOUN
iajs-3927	203	21	(	(	PUNCT
iajs-3927	203	22	and	and	CCONJ
iajs-3927	203	23	)	)	PUNCT
iajs-3927	203	24	,	,	PUNCT
iajs-3927	203	25	and	and	CCONJ
iajs-3927	203	26	the	the	DET
iajs-3927	203	27	number	number	NOUN
iajs-3927	203	28	replicate	replicate	VERB
iajs-3927	203	29	(	(	PUNCT
iajs-3927	203	30	and	and	CCONJ
iajs-3927	203	31	)	)	PUNCT
iajs-3927	203	32	.	.	PUNCT
iajs-3927	204	1	the	the	DET
iajs-3927	204	2	results	result	NOUN
iajs-3927	204	3	of	of	ADP
iajs-3927	204	4	this	this	DET
iajs-3927	204	5	experiment	experiment	NOUN
iajs-3927	204	6	are	be	AUX
iajs-3927	204	7	given	give	VERB
iajs-3927	204	8	by	by	ADP
iajs-3927	204	9	tables	table	NOUN
iajs-3927	204	10	7	7	NUM
iajs-3927	204	11	,	,	PUNCT
iajs-3927	204	12	8	8	NUM
iajs-3927	204	13	,	,	PUNCT
iajs-3927	204	14	and	and	CCONJ
iajs-3927	204	15	9	9	NUM
iajs-3927	204	16	.	.	X
iajs-3927	205	1	regarding	regard	VERB
iajs-3927	205	2	the	the	DET
iajs-3927	205	3	mse	mse	PROPN
iajs-3927	205	4	and	and	CCONJ
iajs-3927	205	5	mpe	mpe	PROPN
iajs-3927	205	6	criteria	criterion	NOUN
iajs-3927	205	7	,	,	PUNCT
iajs-3927	205	8	we	we	PRON
iajs-3927	205	9	can	can	AUX
iajs-3927	205	10	see	see	VERB
iajs-3927	205	11	from	from	ADP
iajs-3927	205	12	the	the	DET
iajs-3927	205	13	given	give	VERB
iajs-3927	205	14	tables	table	NOUN
iajs-3927	205	15	,	,	PUNCT
iajs-3927	205	16	the	the	DET
iajs-3927	205	17	values	value	NOUN
iajs-3927	205	18	of	of	ADP
iajs-3927	205	19	mse	mse	NOUN
iajs-3927	205	20	and	and	CCONJ
iajs-3927	205	21	mpe	mpe	ADJ
iajs-3927	205	22	decrease	decrease	NOUN
iajs-3927	205	23	with	with	ADP
iajs-3927	205	24	increasing	increase	VERB
iajs-3927	205	25	sample	sample	NOUN
iajs-3927	205	26	size	size	NOUN
iajs-3927	205	27	n	n	CCONJ
iajs-3927	205	28	for	for	ADP
iajs-3927	205	29	each	each	DET
iajs-3927	205	30	value	value	NOUN
iajs-3927	205	31	of	of	ADP
iajs-3927	205	32	for	for	ADP
iajs-3927	205	33	mle	mle	PROPN
iajs-3927	205	34	and	and	CCONJ
iajs-3927	205	35	mar	mar	PROPN
iajs-3927	205	36	.	.	PUNCT
iajs-3927	206	1	the	the	DET
iajs-3927	206	2	values	value	NOUN
iajs-3927	206	3	of	of	ADP
iajs-3927	206	4	mpe	mpe	NOUN
iajs-3927	206	5	of	of	ADP
iajs-3927	206	6	both	both	DET
iajs-3927	206	7	methods	method	NOUN
iajs-3927	206	8	become	become	VERB
iajs-3927	206	9	closer	close	ADJ
iajs-3927	206	10	as	as	SCONJ
iajs-3927	206	11	the	the	DET
iajs-3927	206	12	sample	sample	NOUN
iajs-3927	206	13	size	size	NOUN
iajs-3927	206	14	increases	increase	VERB
iajs-3927	206	15	for	for	ADP
iajs-3927	206	16	different	different	ADJ
iajs-3927	206	17	values	value	NOUN
iajs-3927	206	18	of	of	ADP
iajs-3927	206	19	.	.	PUNCT
iajs-3927	207	1	the	the	DET
iajs-3927	207	2	mse	mse	PROPN
iajs-3927	207	3	and	and	CCONJ
iajs-3927	207	4	mpe	mpe	PROPN
iajs-3927	207	5	values	value	NOUN
iajs-3927	207	6	decrease	decrease	VERB
iajs-3927	207	7	with	with	ADP
iajs-3927	207	8	decreasing	decrease	VERB
iajs-3927	207	9	replication	replication	NOUN
iajs-3927	207	10	for	for	ADP
iajs-3927	207	11	each	each	DET
iajs-3927	207	12	value	value	NOUN
iajs-3927	207	13	of	of	ADP
iajs-3927	207	14	.	.	PUNCT
iajs-3927	208	1	the	the	DET
iajs-3927	208	2	values	value	NOUN
iajs-3927	208	3	of	of	ADP
iajs-3927	208	4	mpe	mpe	PROPN
iajs-3927	208	5	indicate	indicate	VERB
iajs-3927	208	6	mar	mar	PROPN
iajs-3927	208	7	is	be	AUX
iajs-3927	208	8	better	well	ADJ
iajs-3927	208	9	than	than	ADP
iajs-3927	208	10	mle	mle	NOUN
iajs-3927	208	11	where	where	SCONJ
iajs-3927	208	12	most	most	ADJ
iajs-3927	208	13	of	of	ADP
iajs-3927	208	14	the	the	DET
iajs-3927	208	15	different	different	ADJ
iajs-3927	208	16	model	model	NOUN
iajs-3927	208	17	parameters	parameter	NOUN
iajs-3927	208	18	and	and	CCONJ
iajs-3927	208	19	sample	sample	NOUN
iajs-3927	208	20	size	size	NOUN
iajs-3927	208	21	moreover	moreover	ADV
iajs-3927	208	22	,	,	PUNCT
iajs-3927	208	23	figures	figure	NOUN
iajs-3927	208	24	7	7	NUM
iajs-3927	208	25	,	,	PUNCT
iajs-3927	208	26	8	8	NUM
iajs-3927	208	27	,	,	PUNCT
iajs-3927	208	28	and	and	CCONJ
iajs-3927	208	29	9	9	NUM
iajs-3927	208	30	represent	represent	VERB
iajs-3927	208	31	the	the	DET
iajs-3927	208	32	estimated	estimate	VERB
iajs-3927	208	33	model	model	NOUN
iajs-3927	208	34	for	for	ADP
iajs-3927	208	35	the	the	DET
iajs-3927	208	36	time	time	NOUN
iajs-3927	208	37	series	series	NOUN
iajs-3927	208	38	when	when	SCONJ
iajs-3927	208	39	,	,	PUNCT
iajs-3927	208	40	respectively	respectively	ADV
iajs-3927	208	41	,	,	PUNCT
iajs-3927	208	42	the	the	DET
iajs-3927	208	43	red	red	ADJ
iajs-3927	208	44	graph	graph	NOUN
iajs-3927	208	45	refers	refer	VERB
iajs-3927	208	46	to	to	ADP
iajs-3927	208	47	the	the	DET
iajs-3927	208	48	generated	generate	VERB
iajs-3927	208	49	simulated	simulate	VERB
iajs-3927	208	50	model	model	NOUN
iajs-3927	208	51	,	,	PUNCT
iajs-3927	208	52	the	the	DET
iajs-3927	208	53	blue	blue	ADJ
iajs-3927	208	54	graph	graph	NOUN
iajs-3927	208	55	refers	refer	VERB
iajs-3927	208	56	to	to	ADP
iajs-3927	208	57	the	the	DET
iajs-3927	208	58	model	model	NOUN
iajs-3927	208	59	estimated	estimate	VERB
iajs-3927	208	60	via	via	ADP
iajs-3927	208	61	exact	exact	ADJ
iajs-3927	208	62	likelihood	likelihood	NOUN
iajs-3927	208	63	,	,	PUNCT
iajs-3927	208	64	and	and	CCONJ
iajs-3927	208	65	the	the	DET
iajs-3927	208	66	green	green	ADJ
iajs-3927	208	67	graph	graph	NOUN
iajs-3927	208	68	refers	refer	VERB
iajs-3927	208	69	to	to	ADP
iajs-3927	208	70	the	the	DET
iajs-3927	208	71	estimated	estimate	VERB
iajs-3927	208	72	model	model	NOUN
iajs-3927	208	73	by	by	ADP
iajs-3927	208	74	using	use	VERB
iajs-3927	208	75	the	the	DET
iajs-3927	208	76	likelihood	likelihood	NOUN
iajs-3927	208	77	function	function	NOUN
iajs-3927	208	78	via	via	ADP
iajs-3927	208	79	the	the	DET
iajs-3927	208	80	marginal	marginal	ADJ
iajs-3927	208	81	distribution	distribution	NOUN
iajs-3927	208	82	of	of	ADP
iajs-3927	208	83	the	the	DET
iajs-3927	208	84	time	time	NOUN
iajs-3927	208	85	series	series	NOUN
iajs-3927	208	86	.	.	PUNCT
iajs-3927	209	1	in	in	ADP
iajs-3927	209	2	figures	figure	NOUN
iajs-3927	209	3	7	7	NUM
iajs-3927	209	4	,	,	PUNCT
iajs-3927	209	5	8	8	NUM
iajs-3927	209	6	,	,	PUNCT
iajs-3927	209	7	and	and	CCONJ
iajs-3927	209	8	9	9	NUM
iajs-3927	209	9	,	,	PUNCT
iajs-3927	209	10	we	we	PRON
iajs-3927	209	11	notice	notice	VERB
iajs-3927	209	12	that	that	SCONJ
iajs-3927	209	13	all	all	DET
iajs-3927	209	14	-	-	PUNCT
iajs-3927	209	15	time	time	NOUN
iajs-3927	209	16	series	series	NOUN
iajs-3927	209	17	are	be	AUX
iajs-3927	209	18	stable	stable	ADJ
iajs-3927	209	19	at	at	ADP
iajs-3927	209	20	different	different	ADJ
iajs-3927	209	21	values	value	NOUN
iajs-3927	209	22	of	of	ADP
iajs-3927	209	23	the	the	DET
iajs-3927	209	24	sample	sample	NOUN
iajs-3927	209	25	size	size	NOUN
iajs-3927	209	26	and	and	CCONJ
iajs-3927	209	27	each	each	DET
iajs-3927	209	28	number	number	NOUN
iajs-3927	209	29	of	of	ADP
iajs-3927	209	30	replication	replication	NOUN
iajs-3927	209	31	.	.	PUNCT
iajs-3927	210	1	ihjpas	ihjpas	PROPN
iajs-3927	210	2	.	.	PUNCT
iajs-3927	211	1	2025,38(4	2025,38(4	NOUN
iajs-3927	211	2	)	)	PUNCT
iajs-3927	211	3	326	326	NUM
iajs-3927	211	4	table	table	NOUN
iajs-3927	211	5	7	7	NUM
iajs-3927	211	6	.	.	PUNCT
iajs-3927	211	7	model	model	NOUN
iajs-3927	211	8	for	for	ADP
iajs-3927	211	9	mle	mle	PROPN
iajs-3927	211	10	and	and	CCONJ
iajs-3927	211	11	mar	mar	PROPN
iajs-3927	211	12	with	with	ADP
iajs-3927	211	13	.	.	PUNCT
iajs-3927	212	1	n	n	PROPN
iajs-3927	212	2	mle	mle	PROPN
iajs-3927	212	3	mar	mar	PROPN
iajs-3927	212	4	mse	mse	PROPN
iajs-3927	212	5	mpe	mpe	PROPN
iajs-3927	212	6	mse	mse	PROPN
iajs-3927	212	7	mpe	mpe	PROPN
iajs-3927	212	8	30	30	NUM
iajs-3927	212	9	1.7508e-35	1.7508e-35	NUM
iajs-3927	212	10	3.1873e-32	3.1873e-32	NUM
iajs-3927	212	11	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	12	0.6308	0.6308	NUM
iajs-3927	212	13	56.2287	56.2287	NUM
iajs-3927	212	14	6.0444	6.0444	NUM
iajs-3927	212	15	1.7929e-32	1.7929e-32	NUM
iajs-3927	212	16	0	0	NUM
iajs-3927	212	17	2.0399e-30	2.0399e-30	NUM
iajs-3927	212	18	17.1093	17.1093	NUM
iajs-3927	212	19	6.3666	6.3666	NUM
iajs-3927	212	20	575.9633	575.9633	NUM
iajs-3927	212	21	0	0	NUM
iajs-3927	212	22	3.1873e-32	3.1873e-32	NUM
iajs-3927	212	23	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	24	0.0214	0.0214	NUM
iajs-3927	212	25	38.5691	38.5691	NUM
iajs-3927	212	26	3.0948	3.0948	NUM
iajs-3927	212	27	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	28	1.2450e-34	1.2450e-34	NUM
iajs-3927	212	29	4.5897e-30	4.5897e-30	NUM
iajs-3927	212	30	16.2997	16.2997	NUM
iajs-3927	212	31	5.1487	5.1487	NUM
iajs-3927	212	32	440.9363	440.9363	NUM
iajs-3927	212	33	4.8635e-37	4.8635e-37	NUM
iajs-3927	212	34	2.8686e-31	2.8686e-31	NUM
iajs-3927	212	35	1.9921e-33	1.9921e-33	NUM
iajs-3927	212	36	0.2512	0.2512	NUM
iajs-3927	212	37	103.1897	103.1897	NUM
iajs-3927	212	38	9.6427	9.6427	NUM
iajs-3927	212	39	7.9683e-33	7.9683e-33	NUM
iajs-3927	212	40	0	0	NUM
iajs-3927	212	41	0	0	NUM
iajs-3927	212	42	16.6317	16.6317	NUM
iajs-3927	212	43	5.6625	5.6625	NUM
iajs-3927	212	44	496.3091	496.3091	NUM
iajs-3927	212	45	7.7815e-36	7.7815e-36	NUM
iajs-3927	212	46	3.1873e-32	3.1873e-32	NUM
iajs-3927	212	47	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	48	0.3762	0.3762	NUM
iajs-3927	212	49	35.2640	35.2640	NUM
iajs-3927	212	50	3.2239	3.2239	NUM
iajs-3927	212	51	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	52	1.9921e-33	1.9921e-33	NUM
iajs-3927	212	53	4.5897e-30	4.5897e-30	NUM
iajs-3927	212	54	16.6013	16.6013	NUM
iajs-3927	212	55	5.6163	5.6163	NUM
iajs-3927	212	56	491.2326	491.2326	NUM
iajs-3927	212	57	50	50	NUM
iajs-3927	212	58	3.1126e-35	3.1126e-35	NUM
iajs-3927	212	59	0	0	NUM
iajs-3927	212	60	1.9921e-33	1.9921e-33	NUM
iajs-3927	212	61	0.5560	0.5560	NUM
iajs-3927	212	62	26.8586	26.8586	NUM
iajs-3927	212	63	3.5300	3.5300	NUM
iajs-3927	212	64	1.9921e-33	1.9921e-33	NUM
iajs-3927	212	65	4.4822e-33	4.4822e-33	NUM
iajs-3927	212	66	1.8359e-29	1.8359e-29	NUM
iajs-3927	212	67	10.6481	10.6481	NUM
iajs-3927	212	68	4.5445	4.5445	NUM
iajs-3927	212	69	256.8860	256.8860	NUM
iajs-3927	212	70	0	0	NUM
iajs-3927	212	71	5.0997e-31	5.0997e-31	NUM
iajs-3927	212	72	1.2450e-34	1.2450e-34	NUM
iajs-3927	212	73	0.0089	0.0089	NUM
iajs-3927	212	74	61.2589	61.2589	NUM
iajs-3927	212	75	4.8212	4.8212	NUM
iajs-3927	212	76	7.9683e-33	7.9683e-33	NUM
iajs-3927	212	77	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	78	5.0997e-31	5.0997e-31	NUM
iajs-3927	212	79	9.6300	9.6300	NUM
iajs-3927	212	80	3.0853	3.0853	NUM
iajs-3927	212	81	154.9406	154.9406	NUM
iajs-3927	212	82	1.9454e-36	1.9454e-36	NUM
iajs-3927	212	83	1.1474e-30	1.1474e-30	NUM
iajs-3927	212	84	4.4822e-33	4.4822e-33	PRON
iajs-3927	212	85	0.1122	0.1122	NUM
iajs-3927	212	86	70.7262	70.7262	NUM
iajs-3927	212	87	6.7510	6.7510	NUM
iajs-3927	212	88	4.4822e-33	4.4822e-33	NUM
iajs-3927	212	89	1.2450e-34	1.2450e-34	NUM
iajs-3927	212	90	4.5897e-30	4.5897e-30	NUM
iajs-3927	212	91	9.8909	9.8909	NUM
iajs-3927	212	92	3.4879	3.4879	NUM
iajs-3927	212	93	181.0627	181.0627	NUM
iajs-3927	212	94	4.3771e-36	4.3771e-36	NUM
iajs-3927	212	95	3.1873e-32	3.1873e-32	NUM
iajs-3927	212	96	3.1126e-35	3.1126e-35	NUM
iajs-3927	212	97	0.2402	0.2402	NUM
iajs-3927	212	98	20.5466	20.5466	NUM
iajs-3927	212	99	2.0373	2.0373	NUM
iajs-3927	212	100	1.2450e-32	1.2450e-32	NUM
iajs-3927	212	101	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	102	5.0997e-31	5.0997e-31	NUM
iajs-3927	212	103	9.9961	9.9961	NUM
iajs-3927	212	104	3.6442	3.6442	NUM
iajs-3927	212	105	191.5910	191.5910	NUM
iajs-3927	212	106	100	100	NUM
iajs-3927	212	107	3.1126e-35	3.1126e-35	NUM
iajs-3927	212	108	3.1873e-32	3.1873e-32	NUM
iajs-3927	212	109	1.9921e-33	1.9921e-33	NUM
iajs-3927	212	110	0.3113	0.3113	NUM
iajs-3927	212	111	12.1245	12.1245	NUM
iajs-3927	212	112	1.8428	1.8428	NUM
iajs-3927	212	113	1.9921e-33	1.9921e-33	NUM
iajs-3927	212	114	4.9802e-34	4.9802e-34	NUM
iajs-3927	212	115	2.0399e-30	2.0399e-30	NUM
iajs-3927	212	116	5.5194	5.5194	NUM
iajs-3927	212	117	2.6377	2.6377	NUM
iajs-3927	212	118	76.1240	76.1240	NUM
iajs-3927	212	119	3.0397e-38	3.0397e-38	PROPN
iajs-3927	212	120	3.1873e-32	3.1873e-32	NUM
iajs-3927	212	121	0	0	NUM
iajs-3927	213	1	0.0094	0.0094	NUM
iajs-3927	213	2	19.0202	19.0202	NUM
iajs-3927	213	3	1.9054	1.9054	NUM
iajs-3927	213	4	4.4822e-33	4.4822e-33	NUM
iajs-3927	214	1	4.4822e-33	4.4822e-33	PRON
iajs-3927	214	2	0	0	NUM
iajs-3927	215	1	5.0358	5.0358	NUM
iajs-3927	215	2	2.0113	2.0113	NUM
iajs-3927	215	3	51.8760	51.8760	NUM
iajs-3927	215	4	1.2159e-37	1.2159e-37	NUM
iajs-3927	215	5	5.0997e-31	5.0997e-31	NUM
iajs-3927	215	6	4.4822e-33	4.4822e-33	PROPN
iajs-3927	215	7	0.0500	0.0500	NUM
iajs-3927	215	8	35.1164	35.1164	NUM
iajs-3927	215	9	3.5198	3.5198	NUM
iajs-3927	215	10	0	0	NUM
iajs-3927	215	11	1.2450e-34	1.2450e-34	NUM
iajs-3927	215	12	1.2749e-31	1.2749e-31	NUM
iajs-3927	215	13	4.9543	4.9543	NUM
iajs-3927	215	14	1.8936	1.8936	NUM
iajs-3927	215	15	47.7893	47.7893	NUM
iajs-3927	215	16	1.2159e-35	1.2159e-35	NUM
iajs-3927	215	17	1.2749e-31	1.2749e-31	NUM
iajs-3927	215	18	4.9802e-34	4.9802e-34	PROPN
iajs-3927	215	19	0.1258	0.1258	NUM
iajs-3927	215	20	13.6534	13.6534	NUM
iajs-3927	215	21	1.5854	1.5854	NUM
iajs-3927	216	1	4.4822e-33	4.4822e-33	NUM
iajs-3927	216	2	4.9802e-34	4.9802e-34	NUM
iajs-3927	216	3	1.1474e-30	1.1474e-30	NUM
iajs-3927	216	4	5.1427	5.1427	NUM
iajs-3927	216	5	2.1598	2.1598	NUM
iajs-3927	216	6	57.2322	57.2322	NUM
iajs-3927	216	7	the	the	DET
iajs-3927	216	8	following	follow	VERB
iajs-3927	216	9	figure	figure	NOUN
iajs-3927	216	10	shows	show	VERB
iajs-3927	216	11	the	the	DET
iajs-3927	216	12	information	information	NOUN
iajs-3927	216	13	in	in	ADP
iajs-3927	216	14	the	the	DET
iajs-3927	216	15	table	table	NOUN
iajs-3927	216	16	above	above	ADV
iajs-3927	216	17	.	.	PUNCT
iajs-3927	217	1	,	,	PUNCT
iajs-3927	217	2	,	,	PUNCT
iajs-3927	217	3	,	,	PUNCT
iajs-3927	217	4	,	,	PUNCT
iajs-3927	217	5	,	,	PUNCT
iajs-3927	217	6	,	,	PUNCT
iajs-3927	217	7	ihjpas	ihjpas	PROPN
iajs-3927	217	8	.	.	PUNCT
iajs-3927	218	1	2025,38(4	2025,38(4	NOUN
iajs-3927	218	2	)	)	PUNCT
iajs-3927	218	3	327	327	NUM
iajs-3927	218	4	,	,	PUNCT
iajs-3927	218	5	,	,	PUNCT
iajs-3927	218	6	,	,	PUNCT
iajs-3927	218	7	,	,	PUNCT
iajs-3927	218	8	,	,	PUNCT
iajs-3927	218	9	,	,	PUNCT
iajs-3927	218	10	figure	figure	VERB
iajs-3927	218	11	7	7	NUM
iajs-3927	218	12	.	.	PUNCT
iajs-3927	218	13	model	model	NOUN
iajs-3927	218	14	for	for	ADP
iajs-3927	218	15	mle	mle	PROPN
iajs-3927	218	16	and	and	CCONJ
iajs-3927	218	17	mar	mar	PROPN
iajs-3927	218	18	with	with	ADP
iajs-3927	218	19	.	.	PUNCT
iajs-3927	219	1	for	for	ADP
iajs-3927	219	2	the	the	DET
iajs-3927	219	3	number	number	NOUN
iajs-3927	219	4	of	of	ADP
iajs-3927	219	5	replication	replication	NOUN
iajs-3927	219	6	,	,	PUNCT
iajs-3927	219	7	the	the	DET
iajs-3927	219	8	results	result	NOUN
iajs-3927	219	9	are	be	AUX
iajs-3927	219	10	given	give	VERB
iajs-3927	219	11	in	in	ADP
iajs-3927	219	12	table	table	NOUN
iajs-3927	219	13	8	8	NUM
iajs-3927	219	14	and	and	CCONJ
iajs-3927	219	15	figure	figure	VERB
iajs-3927	219	16	8	8	NUM
iajs-3927	219	17	.	.	PUNCT
iajs-3927	219	18	table	table	NOUN
iajs-3927	219	19	8	8	NUM
iajs-3927	219	20	.	.	PUNCT
iajs-3927	219	21	model	model	NOUN
iajs-3927	219	22	for	for	ADP
iajs-3927	219	23	mle	mle	PROPN
iajs-3927	219	24	and	and	CCONJ
iajs-3927	219	25	mar	mar	PROPN
iajs-3927	219	26	with	with	ADP
iajs-3927	219	27	.	.	PUNCT
iajs-3927	220	1	n	n	PROPN
iajs-3927	220	2	mle	mle	PROPN
iajs-3927	220	3	mar	mar	PROPN
iajs-3927	220	4	mse	mse	PROPN
iajs-3927	220	5	mpe	mpe	PROPN
iajs-3927	220	6	mse	mse	PROPN
iajs-3927	220	7	mpe	mpe	PROPN
iajs-3927	220	8	30	30	NUM
iajs-3927	220	9	7.7815e-36	7.7815e-36	NUM
iajs-3927	220	10	1.1474e-30	1.1474e-30	NUM
iajs-3927	220	11	5.4907e-32	5.4907e-32	NUM
iajs-3927	220	12	1.1129	1.1129	NUM
iajs-3927	220	13	41.6021	41.6021	NUM
iajs-3927	220	14	6.2432	6.2432	NUM
iajs-3927	220	15	2.4104e-31	2.4104e-31	NUM
iajs-3927	220	16	4.4946e-32	4.4946e-32	NUM
iajs-3927	220	17	2.4683e-28	2.4683e-28	PROPN
iajs-3927	220	18	18.8798	18.8798	NUM
iajs-3927	220	19	8.5553	8.5553	NUM
iajs-3927	220	20	852.8920	852.8920	NUM
iajs-3927	220	21	1.1874e-38	1.1874e-38	NOUN
iajs-3927	220	22	5.0997e-31	5.0997e-31	NUM
iajs-3927	220	23	1.2450e-34	1.2450e-34	NUM
iajs-3927	220	24	0.0151	0.0151	NUM
iajs-3927	220	25	71.6615	71.6615	NUM
iajs-3927	220	26	5.4075	5.4075	NUM
iajs-3927	220	27	1.6136e-31	1.6136e-31	NUM
iajs-3927	220	28	4.9802e-34	4.9802e-34	NUM
iajs-3927	220	29	9.9954e-29	9.9954e-29	NUM
iajs-3927	220	30	16.2684	16.2684	NUM
iajs-3927	220	31	4.9303	4.9303	NUM
iajs-3927	220	32	417.3141	417.3141	NUM
iajs-3927	220	33	7.7815e-36	7.7815e-36	NUM
iajs-3927	220	34	3.1873e-30	3.1873e-30	NUM
iajs-3927	220	35	1.1205e-31	1.1205e-31	NUM
iajs-3927	220	36	0.1940	0.1940	NUM
iajs-3927	220	37	115.0466	115.0466	NUM
iajs-3927	220	38	10.0319	10.0319	NUM
iajs-3927	220	39	1.9921e-31	1.9921e-31	NUM
iajs-3927	220	40	1.0085e-32	1.0085e-32	NUM
iajs-3927	220	41	1.3055e-28	1.3055e-28	NUM
iajs-3927	220	42	16.5396	16.5396	NUM
iajs-3927	220	43	5.3600	5.3600	NUM
iajs-3927	220	44	462.5379	462.5379	NUM
iajs-3927	220	45	7.0034e-35	7.0034e-35	NUM
iajs-3927	220	46	1.2749e-31	1.2749e-31	NUM
iajs-3927	220	47	7.0034e-33	7.0034e-33	NUM
iajs-3927	220	48	0.3779	0.3779	NUM
iajs-3927	220	49	35.6797	35.6797	NUM
iajs-3927	221	1	3.0645	3.0645	NUM
iajs-3927	221	2	0	0	NUM
iajs-3927	221	3	6.1007e-33	6.1007e-33	NUM
iajs-3927	221	4	9.9954e-29	9.9954e-29	NUM
iajs-3927	221	5	16.5729	16.5729	NUM
iajs-3927	221	6	5.4118	5.4118	NUM
iajs-3927	221	7	468.0983	468.0983	NUM
iajs-3927	221	8	50	50	NUM
iajs-3927	221	9	2.8014e-34	2.8014e-34	NUM
iajs-3927	221	10	1.5618e-30	1.5618e-30	NUM
iajs-3927	221	11	1.7929e-32	1.7929e-32	NUM
iajs-3927	221	12	0.3748	0.3748	NUM
iajs-3927	221	13	33.2431	33.2431	NUM
iajs-3927	221	14	3.5554	3.5554	NUM
iajs-3927	221	15	3.1873e-32	3.1873e-32	NUM
iajs-3927	221	16	2.8014e-32	2.8014e-32	NUM
iajs-3927	221	17	9.9954e-29	9.9954e-29	NUM
iajs-3927	221	18	10.1978	10.1978	NUM
iajs-3927	221	19	3.8494	3.8494	NUM
iajs-3927	221	20	205.2482	205.2482	NUM
iajs-3927	221	21	0	0	NUM
iajs-3927	221	22	8.1595e-30	8.1595e-30	NUM
iajs-3927	221	23	4.0339e-32	4.0339e-32	NUM
iajs-3927	221	24	0.0131	0.0131	NUM
iajs-3927	221	25	78.4409	78.4409	NUM
iajs-3927	222	1	6.7044	6.7044	NUM
iajs-3927	222	2	2.1963e-31	2.1963e-31	NUM
iajs-3927	222	3	2.4403e-32	2.4403e-32	NUM
iajs-3927	222	4	1.2749e-29	1.2749e-29	NUM
iajs-3927	222	5	9.8868	9.8868	NUM
iajs-3927	222	6	3.3887	3.3887	NUM
iajs-3927	222	7	174.1100	174.1100	NUM
iajs-3927	222	8	2.8014e-34	2.8014e-34	NUM
iajs-3927	222	9	0	0	NUM
iajs-3927	222	10	1.2450e-32	1.2450e-32	NUM
iajs-3927	222	11	0.2287	0.2287	NUM
iajs-3927	222	12	46.7047	46.7047	NUM
iajs-3927	222	13	4.6974	4.6974	NUM
iajs-3927	222	14	4.4822e-31	4.4822e-31	NUM
iajs-3927	222	15	3.1873e-32	3.1873e-32	NUM
iajs-3927	222	16	5.0997e-29	5.0997e-29	NUM
iajs-3927	222	17	10.0690	10.0690	NUM
iajs-3927	222	18	3.6620	3.6620	NUM
iajs-3927	222	19	192.3506	192.3506	NUM
iajs-3927	222	20	8.2192e-35	8.2192e-35	NUM
iajs-3927	222	21	1.2749e-31	1.2749e-31	NUM
iajs-3927	222	22	1.1237e-32	1.1237e-32	NUM
iajs-3927	222	23	0.2531	0.2531	NUM
iajs-3927	222	24	19.8713	19.8713	NUM
iajs-3927	222	25	1.8715	1.8715	NUM
iajs-3927	222	26	1.7929e-32	1.7929e-32	NUM
iajs-3927	222	27	1.7929e-32	1.7929e-32	NUM
iajs-3927	222	28	1.3055e-28	1.3055e-28	NUM
iajs-3927	222	29	10.0014	10.0014	NUM
iajs-3927	222	30	3.5618	3.5618	NUM
iajs-3927	222	31	185.5815	185.5815	NUM
iajs-3927	222	32	100	100	NUM
iajs-3927	222	33	5.6222e-34	5.6222e-34	NUM
iajs-3927	222	34	1.3466e-30	1.3466e-30	NUM
iajs-3927	222	35	1.0085e-32	1.0085e-32	NUM
iajs-3927	222	36	0.2117	0.2117	NUM
iajs-3927	222	37	14.8984	14.8984	NUM
iajs-3927	222	38	1.7558	1.7558	NUM
iajs-3927	222	39	2.4403e-32	2.4403e-32	NUM
iajs-3927	222	40	4.9802e-32	4.9802e-32	NUM
iajs-3927	222	41	2.4989e-29	2.4989e-29	NUM
iajs-3927	222	42	5.1762	5.1762	NUM
iajs-3927	222	43	2.1664	2.1664	NUM
iajs-3927	222	44	57.2946	57.2946	NUM
iajs-3927	222	45	1.8998e-39	1.8998e-39	NUM
iajs-3927	222	46	1.2749e-31	1.2749e-31	NUM
iajs-3927	222	47	4.9802e-34	4.9802e-34	NUM
iajs-3927	222	48	0.0047	0.0047	NUM
iajs-3927	222	49	27.1229	27.1229	NUM
iajs-3927	222	50	2.3497	2.3497	NUM
iajs-3927	222	51	1.9921e-33	1.9921e-33	NUM
iajs-3927	222	52	1.2450e-32	1.2450e-32	NUM
iajs-3927	222	53	1.0327e-29	1.0327e-29	NUM
iajs-3927	222	54	4.9021	4.9021	NUM
iajs-3927	222	55	1.7712	1.7712	NUM
iajs-3927	222	56	43.5548	43.5548	NUM
iajs-3927	222	57	3.9394e-35	3.9394e-35	NUM
iajs-3927	222	58	8.1595e-30	8.1595e-30	NUM
iajs-3927	222	59	1.2749e-31	1.2749e-31	NUM
iajs-3927	222	60	0.0650	0.0650	NUM
iajs-3927	222	61	32.7943	32.7943	NUM
iajs-3927	222	62	3.2813	3.2813	NUM
iajs-3927	222	63	1.4393e-31	1.4393e-31	NUM
iajs-3927	222	64	1.2450e-32	1.2450e-32	NUM
iajs-3927	222	65	6.2471e-30	6.2471e-30	NUM
iajs-3927	222	66	4.9854	4.9854	NUM
iajs-3927	222	67	1.8957	1.8957	NUM
iajs-3927	222	68	47.7256	47.7256	NUM
iajs-3927	222	69	7.7815e-36	7.7815e-36	NUM
iajs-3927	222	70	9.7612e-32	9.7612e-32	NUM
iajs-3927	222	71	8.9955e-33	8.9955e-33	NUM
iajs-3927	222	72	0.1105	0.1105	NUM
iajs-3927	223	1	9.6529	9.6529	NUM
iajs-3927	223	2	0.9837	0.9837	NUM
iajs-3927	223	3	1.7978e-31	1.7978e-31	NUM
iajs-3927	223	4	6.1007e-33	6.1007e-33	NUM
iajs-3927	223	5	1.8359e-29	1.8359e-29	NUM
iajs-3927	223	6	5.0245	5.0245	NUM
iajs-3927	223	7	1.9529	1.9529	NUM
iajs-3927	223	8	49.6866	49.6866	NUM
iajs-3927	223	9	ihjpas	ihjpas	PROPN
iajs-3927	223	10	.	.	PUNCT
iajs-3927	224	1	2025,38(4	2025,38(4	NOUN
iajs-3927	224	2	)	)	PUNCT
iajs-3927	224	3	328	328	NUM
iajs-3927	224	4	the	the	DET
iajs-3927	224	5	values	value	NOUN
iajs-3927	224	6	in	in	ADP
iajs-3927	224	7	table	table	NOUN
iajs-3927	224	8	8	8	NUM
iajs-3927	224	9	via	via	ADP
iajs-3927	224	10	the	the	DET
iajs-3927	224	11	figure	figure	NOUN
iajs-3927	224	12	are	be	AUX
iajs-3927	224	13	shown	show	VERB
iajs-3927	224	14	as	as	SCONJ
iajs-3927	224	15	follows	follow	VERB
iajs-3927	224	16	:	:	PUNCT
iajs-3927	224	17	,	,	PUNCT
iajs-3927	224	18	,	,	PUNCT
iajs-3927	224	19	,	,	PUNCT
iajs-3927	224	20	,	,	PUNCT
iajs-3927	224	21	,	,	PUNCT
iajs-3927	224	22	,	,	PUNCT
iajs-3927	224	23	,	,	PUNCT
iajs-3927	224	24	,	,	PUNCT
iajs-3927	224	25	,	,	PUNCT
iajs-3927	224	26	,	,	PUNCT
iajs-3927	224	27	,	,	PUNCT
iajs-3927	224	28	,	,	PUNCT
iajs-3927	224	29	figure	figure	VERB
iajs-3927	224	30	8	8	NUM
iajs-3927	224	31	.	.	PUNCT
iajs-3927	224	32	model	model	NOUN
iajs-3927	224	33	for	for	ADP
iajs-3927	224	34	mle	mle	PROPN
iajs-3927	224	35	and	and	CCONJ
iajs-3927	224	36	mar	mar	PROPN
iajs-3927	224	37	with	with	ADP
iajs-3927	224	38	for	for	ADP
iajs-3927	224	39	the	the	DET
iajs-3927	224	40	number	number	NOUN
iajs-3927	224	41	of	of	ADP
iajs-3927	224	42	replication	replication	NOUN
iajs-3927	224	43	,	,	PUNCT
iajs-3927	224	44	the	the	DET
iajs-3927	224	45	results	result	NOUN
iajs-3927	224	46	are	be	AUX
iajs-3927	224	47	given	give	VERB
iajs-3927	224	48	in	in	ADP
iajs-3927	224	49	table	table	NOUN
iajs-3927	224	50	9	9	NUM
iajs-3927	224	51	and	and	CCONJ
iajs-3927	224	52	figure	figure	VERB
iajs-3927	224	53	9	9	NUM
iajs-3927	224	54	:	:	PUNCT
iajs-3927	224	55	table	table	NOUN
iajs-3927	224	56	9	9	NUM
iajs-3927	224	57	.	.	PUNCT
iajs-3927	224	58	)	)	PUNCT
iajs-3927	224	59	model	model	NOUN
iajs-3927	224	60	for	for	ADP
iajs-3927	224	61	mle	mle	PROPN
iajs-3927	224	62	and	and	CCONJ
iajs-3927	224	63	mar	mar	PROPN
iajs-3927	224	64	with	with	ADP
iajs-3927	224	65	.	.	PUNCT
iajs-3927	225	1	n	n	PROPN
iajs-3927	225	2	mle	mle	PROPN
iajs-3927	225	3	mar	mar	PROPN
iajs-3927	225	4	mse	mse	PROPN
iajs-3927	225	5	mpe	mpe	PROPN
iajs-3927	225	6	mse	mse	PROPN
iajs-3927	225	7	mpe	mpe	PROPN
iajs-3927	225	8	30	30	NUM
iajs-3927	225	9	7.7815e-34	7.7815e-34	NUM
iajs-3927	225	10	8.1595e-30	8.1595e-30	NUM
iajs-3927	226	1	6.0260e-32	6.0260e-32	NUM
iajs-3927	226	2	0.6687	0.6687	NUM
iajs-3927	226	3	55.1572	55.1572	NUM
iajs-3927	226	4	5.8641	5.8641	NUM
iajs-3927	226	5	5.4234e-31	5.4234e-31	NUM
iajs-3927	226	6	1.7045e-31	1.7045e-31	NUM
iajs-3927	226	7	1.2749e-29	1.2749e-29	NUM
iajs-3927	226	8	17.2401	17.2401	NUM
iajs-3927	227	1	6.3891	6.3891	NUM
iajs-3927	227	2	577.0794	577.0794	NUM
iajs-3927	227	3	3.0397e-38	3.0397e-38	NOUN
iajs-3927	227	4	1.4738e-28	1.4738e-28	NUM
iajs-3927	227	5	1.6136e-31	1.6136e-31	NUM
iajs-3927	227	6	0.0045	0.0045	NUM
iajs-3927	227	7	240.8549	240.8549	NUM
iajs-3927	227	8	21.6782	21.6782	NUM
iajs-3927	227	9	1.1957e-30	1.1957e-30	NUM
iajs-3927	227	10	6.5863e-32	6.5863e-32	NUM
iajs-3927	227	11	7.3436e-29	7.3436e-29	SYM
iajs-3927	227	12	16.9682	16.9682	NUM
iajs-3927	227	13	5.9919	5.9919	NUM
iajs-3927	228	1	531.7196	531.7196	NUM
iajs-3927	228	2	2.3831e-35	2.3831e-35	NUM
iajs-3927	228	3	6.7444e-29	6.7444e-29	NUM
iajs-3927	228	4	6.4543e-31	6.4543e-31	NUM
iajs-3927	228	5	0.1511	0.1511	NUM
iajs-3927	228	6	116.0243	116.0243	NUM
iajs-3927	228	7	10.5361	10.5361	NUM
iajs-3927	228	8	0	0	NUM
iajs-3927	228	9	3.1873e-32	3.1873e-32	NUM
iajs-3927	228	10	1.6523e-28	1.6523e-28	NUM
iajs-3927	228	11	mpe_m	mpe_m	NOUN
iajs-3927	228	12	=	=	SYM
iajs-3927	228	13	0.1511	0.1511	NUM
iajs-3927	228	14	16.7239	16.7239	NUM
iajs-3927	228	15	5.6242	5.6242	NUM
iajs-3927	228	16	490.9766	490.9766	NUM
iajs-3927	228	17	3.5455e-34	3.5455e-34	NUM
iajs-3927	228	18	3.8567e-30	3.8567e-30	NUM
iajs-3927	228	19	4.9802e-32	4.9802e-32	NUM
iajs-3927	228	20	0.4434	0.4434	NUM
iajs-3927	228	21	30.9070	30.9070	NUM
iajs-3927	228	22	3.0517	3.0517	NUM
iajs-3927	228	23	1.5065e-30	1.5065e-30	NUM
iajs-3927	228	24	1.1205e-31	1.1205e-31	NUM
iajs-3927	228	25	9.9954e-29	9.9954e-29	NUM
iajs-3927	228	26	17.0314	17.0314	NUM
iajs-3927	228	27	6.0854	6.0854	NUM
iajs-3927	229	1	542.2655	542.2655	NUM
iajs-3927	229	2	50	50	NUM
iajs-3927	229	3	4.8635e-35	4.8635e-35	NUM
iajs-3927	229	4	2.8766e-30	2.8766e-30	NUM
iajs-3927	229	5	1.4393e-31	1.4393e-31	NUM
iajs-3927	229	6	0.5620	0.5620	NUM
iajs-3927	229	7	27.3096	27.3096	NUM
iajs-3927	229	8	3.6123	3.6123	NUM
iajs-3927	229	9	1.4522e-30	1.4522e-30	NUM
iajs-3927	229	10	1.4393e-31	1.4393e-31	NUM
iajs-3927	229	11	7.7567e-28	7.7567e-28	NUM
iajs-3927	229	12	10.7926	10.7926	NUM
iajs-3927	229	13	4.6473	4.6473	NUM
iajs-3927	229	14	263.9899	263.9899	NUM
iajs-3927	229	15	2.0689e-36	2.0689e-36	NUM
iajs-3927	229	16	1.2749e-29	1.2749e-29	NUM
iajs-3927	229	17	1.1957e-30	1.1957e-30	NUM
iajs-3927	229	18	0.0092	0.0092	NUM
iajs-3927	229	19	84.1834	84.1834	NUM
iajs-3927	229	20	6.7660	6.7660	NUM
iajs-3927	229	21	3.1126e-31	3.1126e-31	NUM
iajs-3927	229	22	0	0	NUM
iajs-3927	229	23	1.7454e-28	1.7454e-28	NUM
iajs-3927	229	24	9.7663	9.7663	NUM
iajs-3927	229	25	3.1902	3.1902	NUM
iajs-3927	229	26	161.2271	161.2271	NUM
iajs-3927	229	27	4.3771e-36	4.3771e-36	NUM
iajs-3927	229	28	1.1474e-28	1.1474e-28	NUM
iajs-3927	229	29	7.5749e-31	7.5749e-31	NUM
iajs-3927	229	30	0.1259	0.1259	NUM
iajs-3927	229	31	64.8504	64.8504	NUM
iajs-3927	229	32	6.3882	6.3882	NUM
iajs-3927	229	33	8.3717e-31	8.3717e-31	NUM
iajs-3927	229	34	4.9802e-32	4.9802e-32	NUM
iajs-3927	229	35	1.4738e-28	1.4738e-28	NUM
iajs-3927	229	36	10.0636	10.0636	NUM
iajs-3927	229	37	3.6429	3.6429	NUM
iajs-3927	229	38	190.9959	190.9959	NUM
iajs-3927	229	39	ihjpas	ihjpa	NOUN
iajs-3927	229	40	.	.	PUNCT
iajs-3927	230	1	2025,38(4	2025,38(4	NOUN
iajs-3927	230	2	)	)	PUNCT
iajs-3927	230	3	329	329	NUM
iajs-3927	230	4	n	n	NUM
iajs-3927	230	5	mle	mle	PROPN
iajs-3927	230	6	mar	mar	PROPN
iajs-3927	230	7	mse	mse	PROPN
iajs-3927	230	8	mpe	mpe	PROPN
iajs-3927	230	9	mse	mse	PROPN
iajs-3927	230	10	mpe	mpe	PROPN
iajs-3927	230	11	2.1448e-34	2.1448e-34	NUM
iajs-3927	230	12	2.0399e-30	2.0399e-30	NUM
iajs-3927	230	13	3.1126e-35	3.1126e-35	NUM
iajs-3927	230	14	0.2248	0.2248	NUM
iajs-3927	230	15	21.1864	21.1864	NUM
iajs-3927	230	16	2.0627	2.0627	NUM
iajs-3927	230	17	1.6136e-31	1.6136e-31	NUM
iajs-3927	230	18	0	0	NUM
iajs-3927	230	19	2.4989e-29	2.4989e-29	NUM
iajs-3927	230	20	10.0493	10.0493	NUM
iajs-3927	230	21	3.6217	3.6217	NUM
iajs-3927	230	22	189.5649	189.5649	NUM
iajs-3927	230	23	100	100	NUM
iajs-3927	230	24	5.4646e-33	5.4646e-33	NUM
iajs-3927	230	25	8.1595e-30	8.1595e-30	NUM
iajs-3927	230	26	7.7815e-32	7.7815e-32	NUM
iajs-3927	230	27	0.3224	0.3224	NUM
iajs-3927	230	28	12.4381	12.4381	NUM
iajs-3927	230	29	1.8716	1.8716	NUM
iajs-3927	230	30	7.1914e-31	7.1914e-31	NUM
iajs-3927	230	31	9.7612e-32	9.7612e-32	NUM
iajs-3927	230	32	1.2252e-28	1.2252e-28	NUM
iajs-3927	230	33	5.5823	5.5823	NUM
iajs-3927	230	34	2.6766	2.6766	NUM
iajs-3927	230	35	77.4493	77.4493	NUM
iajs-3927	230	36	2.8896e-36	2.8896e-36	NUM
iajs-3927	230	37	6.4543e-29	6.4543e-29	NUM
iajs-3927	230	38	3.5982e-32	3.5982e-32	NUM
iajs-3927	230	39	0.0064	0.0064	NUM
iajs-3927	230	40	30.6033	30.6033	NUM
iajs-3927	230	41	2.4344	2.4344	NUM
iajs-3927	230	42	3.3666e-31	3.3666e-31	NUM
iajs-3927	230	43	1.7929e-32	1.7929e-32	NUM
iajs-3927	230	44	1.1474e-30	1.1474e-30	NUM
iajs-3927	230	45	4.8274	4.8274	NUM
iajs-3927	230	46	1.6496	1.6496	NUM
iajs-3927	230	47	39.6038	39.6038	NUM
iajs-3927	230	48	9.5324e-35	9.5324e-35	NUM
iajs-3927	230	49	5.3579e-29	5.3579e-29	NUM
iajs-3927	230	50	1.0471e-31	1.0471e-31	NUM
iajs-3927	230	51	0.0737	0.0737	NUM
iajs-3927	230	52	26.3076	26.3076	NUM
iajs-3927	230	53	2.4699	2.4699	NUM
iajs-3927	230	54	4.9802e-32	4.9802e-32	NUM
iajs-3927	230	55	6.0260e-32	6.0260e-32	NUM
iajs-3927	230	56	5.0997e-29	5.0997e-29	NUM
iajs-3927	230	57	4.9277	4.9277	NUM
iajs-3927	230	58	1.8042	1.8042	NUM
iajs-3927	230	59	44.6310	44.6310	NUM
iajs-3927	230	60	4.9802e-34	4.9802e-34	NUM
iajs-3927	231	1	2.3028e-30	2.3028e-30	NUM
iajs-3927	231	2	3.1873e-32	3.1873e-32	NUM
iajs-3927	231	3	0.1460	0.1460	NUM
iajs-3927	231	4	7.9169	7.9169	NUM
iajs-3927	231	5	0.9263	0.9263	NUM
iajs-3927	231	6	3.6306e-31	3.6306e-31	NUM
iajs-3927	231	7	5.4907e-32	5.4907e-32	NUM
iajs-3927	231	8	2.4683e-28	2.4683e-28	NUM
iajs-3927	231	9	5.2147	5.2147	NUM
iajs-3927	231	10	2.2136	2.2136	NUM
iajs-3927	231	11	59.0183	59.0183	NUM
iajs-3927	231	12	the	the	DET
iajs-3927	231	13	results	result	NOUN
iajs-3927	231	14	in	in	ADP
iajs-3927	231	15	the	the	DET
iajs-3927	231	16	table	table	NOUN
iajs-3927	231	17	above	above	ADV
iajs-3927	231	18	are	be	AUX
iajs-3927	231	19	shown	show	VERB
iajs-3927	231	20	in	in	ADP
iajs-3927	231	21	the	the	DET
iajs-3927	231	22	figures	figure	NOUN
iajs-3927	231	23	below	below	ADV
iajs-3927	231	24	.	.	PUNCT
iajs-3927	232	1	,	,	PUNCT
iajs-3927	232	2	,	,	PUNCT
iajs-3927	232	3	,	,	PUNCT
iajs-3927	232	4	,	,	PUNCT
iajs-3927	232	5	,	,	PUNCT
iajs-3927	232	6	,	,	PUNCT
iajs-3927	232	7	,	,	PUNCT
iajs-3927	232	8	,	,	PUNCT
iajs-3927	232	9	,	,	PUNCT
iajs-3927	232	10	,	,	PUNCT
iajs-3927	232	11	,	,	PUNCT
iajs-3927	232	12	,	,	PUNCT
iajs-3927	232	13	figure	figure	VERB
iajs-3927	232	14	9	9	NUM
iajs-3927	232	15	.	.	PUNCT
iajs-3927	232	16	model	model	NOUN
iajs-3927	232	17	for	for	ADP
iajs-3927	232	18	mle	mle	PROPN
iajs-3927	232	19	and	and	CCONJ
iajs-3927	232	20	mar	mar	PROPN
iajs-3927	232	21	with	with	ADP
iajs-3927	232	22	.	.	PUNCT
iajs-3927	233	1	5	5	X
iajs-3927	233	2	.	.	X
iajs-3927	233	3	conclusion	conclusion	NOUN
iajs-3927	233	4	recently	recently	ADV
iajs-3927	233	5	,	,	PUNCT
iajs-3927	233	6	time	time	NOUN
iajs-3927	233	7	series	series	NOUN
iajs-3927	233	8	analysis	analysis	NOUN
iajs-3927	233	9	is	be	AUX
iajs-3927	233	10	necessary	necessary	ADJ
iajs-3927	233	11	for	for	ADP
iajs-3927	233	12	many	many	ADJ
iajs-3927	233	13	fields	field	NOUN
iajs-3927	233	14	and	and	CCONJ
iajs-3927	233	15	applications	application	NOUN
iajs-3927	233	16	with	with	ADP
iajs-3927	233	17	huge	huge	ADJ
iajs-3927	233	18	and	and	CCONJ
iajs-3927	233	19	complex	complex	ADJ
iajs-3927	233	20	data	datum	NOUN
iajs-3927	233	21	.	.	PUNCT
iajs-3927	234	1	this	this	DET
iajs-3927	234	2	paper	paper	NOUN
iajs-3927	234	3	presents	present	VERB
iajs-3927	234	4	the	the	DET
iajs-3927	234	5	problem	problem	NOUN
iajs-3927	234	6	of	of	ADP
iajs-3927	234	7	autoregressive	autoregressive	ADJ
iajs-3927	234	8	model	model	NOUN
iajs-3927	234	9	parameter	parameter	NOUN
iajs-3927	234	10	estimation	estimation	NOUN
iajs-3927	234	11	with	with	ADP
iajs-3927	234	12	maximum	maximum	ADJ
iajs-3927	234	13	likelihood	likelihood	NOUN
iajs-3927	234	14	function	function	NOUN
iajs-3927	234	15	and	and	CCONJ
iajs-3927	234	16	model	model	NOUN
iajs-3927	234	17	selection	selection	NOUN
iajs-3927	234	18	.	.	PUNCT
iajs-3927	235	1	the	the	DET
iajs-3927	235	2	model	model	NOUN
iajs-3927	235	3	parameter	parameter	NOUN
iajs-3927	235	4	estimators	estimator	NOUN
iajs-3927	235	5	are	be	AUX
iajs-3927	235	6	derived	derive	VERB
iajs-3927	235	7	theoretically	theoretically	ADV
iajs-3927	235	8	by	by	ADP
iajs-3927	235	9	defining	define	VERB
iajs-3927	235	10	the	the	DET
iajs-3927	235	11	marginal	marginal	ADJ
iajs-3927	235	12	distribution	distribution	NOUN
iajs-3927	235	13	of	of	ADP
iajs-3927	235	14	the	the	DET
iajs-3927	235	15	ar	ar	PROPN
iajs-3927	235	16	time	time	PROPN
iajs-3927	235	17	series	series	PROPN
iajs-3927	235	18	,	,	PUNCT
iajs-3927	235	19	where	where	SCONJ
iajs-3927	235	20	the	the	DET
iajs-3927	235	21	distribution	distribution	NOUN
iajs-3927	235	22	is	be	AUX
iajs-3927	235	23	got	get	VERB
iajs-3927	235	24	by	by	ADP
iajs-3927	235	25	random	random	ADJ
iajs-3927	235	26	shocks	shock	NOUN
iajs-3927	235	27	representing	represent	VERB
iajs-3927	235	28	the	the	DET
iajs-3927	235	29	ar	ar	NOUN
iajs-3927	235	30	process	process	NOUN
iajs-3927	235	31	with	with	ADP
iajs-3927	235	32	the	the	DET
iajs-3927	235	33	assumption	assumption	NOUN
iajs-3927	235	34	of	of	ADP
iajs-3927	235	35	a	a	DET
iajs-3927	235	36	ihjpas	ihjpa	NOUN
iajs-3927	235	37	.	.	PUNCT
iajs-3927	236	1	2025,38(4	2025,38(4	NOUN
iajs-3927	236	2	)	)	PUNCT
iajs-3927	236	3	330	330	NUM
iajs-3927	236	4	normal	normal	ADJ
iajs-3927	236	5	distribution	distribution	NOUN
iajs-3927	236	6	of	of	ADP
iajs-3927	236	7	the	the	DET
iajs-3927	236	8	white	white	ADJ
iajs-3927	236	9	noise	noise	PROPN
iajs-3927	236	10	errors	error	NOUN
iajs-3927	236	11	term	term	NOUN
iajs-3927	236	12	.	.	PUNCT
iajs-3927	237	1	here	here	ADV
iajs-3927	237	2	,	,	PUNCT
iajs-3927	237	3	ar	ar	NOUN
iajs-3927	237	4	model	model	NOUN
iajs-3927	237	5	order	order	NOUN
iajs-3927	237	6	is	be	AUX
iajs-3927	237	7	adopted	adopt	VERB
iajs-3927	237	8	for	for	ADP
iajs-3927	237	9	and	and	CCONJ
iajs-3927	237	10	.	.	PUNCT
iajs-3927	238	1	exact	exact	ADJ
iajs-3927	238	2	maximum	maximum	ADJ
iajs-3927	238	3	likelihood	likelihood	NOUN
iajs-3927	238	4	function	function	NOUN
iajs-3927	238	5	and	and	CCONJ
iajs-3927	238	6	maximum	maximum	ADJ
iajs-3927	238	7	likelihood	likelihood	NOUN
iajs-3927	238	8	with	with	ADP
iajs-3927	238	9	time	time	NOUN
iajs-3927	238	10	series	series	PROPN
iajs-3927	238	11	marginal	marginal	ADJ
iajs-3927	238	12	distribution	distribution	NOUN
iajs-3927	238	13	are	be	AUX
iajs-3927	238	14	derived	derive	VERB
iajs-3927	238	15	.	.	PUNCT
iajs-3927	239	1	to	to	PART
iajs-3927	239	2	show	show	VERB
iajs-3927	239	3	the	the	DET
iajs-3927	239	4	ability	ability	NOUN
iajs-3927	239	5	of	of	ADP
iajs-3927	239	6	the	the	DET
iajs-3927	239	7	theoretical	theoretical	ADJ
iajs-3927	239	8	computing	computing	NOUN
iajs-3927	239	9	of	of	ADP
iajs-3927	239	10	the	the	DET
iajs-3927	239	11	ar	ar	NOUN
iajs-3927	239	12	parameters	parameter	NOUN
iajs-3927	239	13	,	,	PUNCT
iajs-3927	239	14	some	some	PRON
iajs-3927	239	15	of	of	ADP
iajs-3927	239	16	the	the	DET
iajs-3927	239	17	experiments	experiment	NOUN
iajs-3927	239	18	are	be	AUX
iajs-3927	239	19	implemented	implement	VERB
iajs-3927	239	20	with	with	ADP
iajs-3927	239	21	simulation	simulation	NOUN
iajs-3927	239	22	for	for	ADP
iajs-3927	239	23	the	the	DET
iajs-3927	239	24	ar	ar	PROPN
iajs-3927	239	25	parameter	parameter	PROPN
iajs-3927	239	26	estimation	estimation	NOUN
iajs-3927	239	27	and	and	CCONJ
iajs-3927	239	28	model	model	NOUN
iajs-3927	239	29	selection	selection	NOUN
iajs-3927	239	30	.	.	PUNCT
iajs-3927	240	1	the	the	DET
iajs-3927	240	2	experiments	experiment	NOUN
iajs-3927	240	3	are	be	AUX
iajs-3927	240	4	designed	design	VERB
iajs-3927	240	5	for	for	ADP
iajs-3927	240	6	different	different	ADJ
iajs-3927	240	7	values	value	NOUN
iajs-3927	240	8	of	of	ADP
iajs-3927	240	9	model	model	NOUN
iajs-3927	240	10	order	order	NOUN
iajs-3927	240	11	(	(	PUNCT
iajs-3927	240	12	p	p	NOUN
iajs-3927	240	13	)	)	PUNCT
iajs-3927	240	14	,	,	PUNCT
iajs-3927	240	15	sample	sample	NOUN
iajs-3927	240	16	size	size	NOUN
iajs-3927	240	17	(	(	PUNCT
iajs-3927	240	18	n	n	CCONJ
iajs-3927	240	19	)	)	PUNCT
iajs-3927	240	20	,	,	PUNCT
iajs-3927	240	21	and	and	CCONJ
iajs-3927	240	22	number	number	NOUN
iajs-3927	240	23	of	of	ADP
iajs-3927	240	24	replications	replication	NOUN
iajs-3927	240	25	.	.	PUNCT
iajs-3927	241	1	the	the	DET
iajs-3927	241	2	results	result	NOUN
iajs-3927	241	3	show	show	VERB
iajs-3927	241	4	the	the	DET
iajs-3927	241	5	efficiency	efficiency	NOUN
iajs-3927	241	6	of	of	ADP
iajs-3927	241	7	the	the	DET
iajs-3927	241	8	model	model	NOUN
iajs-3927	241	9	parameter	parameter	PROPN
iajs-3927	241	10	estimation	estimation	NOUN
iajs-3927	241	11	by	by	ADP
iajs-3927	241	12	computing	compute	VERB
iajs-3927	241	13	mean	mean	NOUN
iajs-3927	241	14	squares	square	NOUN
iajs-3927	241	15	errors	error	NOUN
iajs-3927	241	16	,	,	PUNCT
iajs-3927	241	17	and	and	CCONJ
iajs-3927	241	18	mean	mean	VERB
iajs-3927	241	19	percentage	percentage	NOUN
iajs-3927	241	20	errors	error	NOUN
iajs-3927	241	21	.	.	PUNCT
iajs-3927	242	1	for	for	ADP
iajs-3927	242	2	different	different	ADJ
iajs-3927	242	3	settings	setting	NOUN
iajs-3927	242	4	of	of	ADP
iajs-3927	242	5	and	and	CCONJ
iajs-3927	242	6	sample	sample	NOUN
iajs-3927	242	7	size	size	NOUN
iajs-3927	242	8	,	,	PUNCT
iajs-3927	242	9	the	the	DET
iajs-3927	242	10	results	result	NOUN
iajs-3927	242	11	show	show	VERB
iajs-3927	242	12	the	the	DET
iajs-3927	242	13	stationarity	stationarity	NOUN
iajs-3927	242	14	of	of	ADP
iajs-3927	242	15	the	the	DET
iajs-3927	242	16	predicted	predict	VERB
iajs-3927	242	17	model	model	NOUN
iajs-3927	242	18	with	with	ADP
iajs-3927	242	19	estimated	estimate	VERB
iajs-3927	242	20	parameters	parameter	NOUN
iajs-3927	242	21	for	for	ADP
iajs-3927	242	22	different	different	ADJ
iajs-3927	242	23	values	value	NOUN
iajs-3927	242	24	of	of	ADP
iajs-3927	242	25	,	,	PUNCT
iajs-3927	242	26	sample	sample	NOUN
iajs-3927	242	27	size	size	NOUN
iajs-3927	242	28	,	,	PUNCT
iajs-3927	242	29	and	and	CCONJ
iajs-3927	242	30	replications	replication	NOUN
iajs-3927	242	31	.	.	PUNCT
iajs-3927	243	1	the	the	DET
iajs-3927	243	2	values	value	NOUN
iajs-3927	243	3	of	of	ADP
iajs-3927	243	4	mpe	mpe	PROPN
iajs-3927	243	5	and	and	CCONJ
iajs-3927	243	6	mse	mse	PROPN
iajs-3927	243	7	show	show	VERB
iajs-3927	243	8	the	the	DET
iajs-3927	243	9	ability	ability	NOUN
iajs-3927	243	10	of	of	ADP
iajs-3927	243	11	mar	mar	PROPN
iajs-3927	243	12	for	for	ADP
iajs-3927	243	13	model	model	NOUN
iajs-3927	243	14	parameter	parameter	PROPN
iajs-3927	243	15	estimation	estimation	PROPN
iajs-3927	243	16	,	,	PUNCT
iajs-3927	243	17	where	where	SCONJ
iajs-3927	243	18	at	at	ADP
iajs-3927	243	19	most	most	ADV
iajs-3927	243	20	(	(	PUNCT
iajs-3927	243	21	mpe	mpe	X
iajs-3927	243	22	and	and	CCONJ
iajs-3927	243	23	mse)-based	mse)-base	VERB
iajs-3927	243	24	mar	mar	PROPN
iajs-3927	243	25	are	be	AUX
iajs-3927	243	26	better	well	ADJ
iajs-3927	243	27	than	than	ADP
iajs-3927	243	28	mle	mle	PROPN
iajs-3927	243	29	.	.	PROPN
iajs-3927	243	30	acknowledgment	acknowledgment	NOUN
iajs-3927	243	31	the	the	DET
iajs-3927	243	32	authors	author	NOUN
iajs-3927	243	33	express	express	VERB
iajs-3927	243	34	gratitude	gratitude	NOUN
iajs-3927	243	35	to	to	ADP
iajs-3927	243	36	the	the	DET
iajs-3927	243	37	reviewers	reviewer	NOUN
iajs-3927	243	38	for	for	ADP
iajs-3927	243	39	their	their	PRON
iajs-3927	243	40	insightful	insightful	ADJ
iajs-3927	243	41	feedback	feedback	NOUN
iajs-3927	243	42	and	and	CCONJ
iajs-3927	243	43	recommendations	recommendation	NOUN
iajs-3927	243	44	to	to	PART
iajs-3927	243	45	enhance	enhance	VERB
iajs-3927	243	46	the	the	DET
iajs-3927	243	47	paper	paper	NOUN
iajs-3927	243	48	.	.	PUNCT
iajs-3927	244	1	conflict	conflict	NOUN
iajs-3927	244	2	of	of	ADP
iajs-3927	244	3	interest	interest	NOUN
iajs-3927	244	4	the	the	DET
iajs-3927	244	5	authors	author	NOUN
iajs-3927	244	6	assert	assert	VERB
iajs-3927	244	7	that	that	SCONJ
iajs-3927	244	8	they	they	PRON
iajs-3927	244	9	do	do	AUX
iajs-3927	244	10	not	not	PART
iajs-3927	244	11	have	have	VERB
iajs-3927	244	12	any	any	DET
iajs-3927	244	13	conflicts	conflict	NOUN
iajs-3927	244	14	of	of	ADP
iajs-3927	244	15	interest	interest	NOUN
iajs-3927	244	16	.	.	PUNCT
iajs-3927	245	1	funding	funding	NOUN
iajs-3927	245	2	there	there	PRON
iajs-3927	245	3	is	be	VERB
iajs-3927	245	4	no	no	DET
iajs-3927	245	5	financial	financial	ADJ
iajs-3927	245	6	assistance	assistance	NOUN
iajs-3927	245	7	available	available	ADJ
iajs-3927	245	8	for	for	ADP
iajs-3927	245	9	preparing	prepare	VERB
iajs-3927	245	10	the	the	DET
iajs-3927	245	11	publication	publication	NOUN
iajs-3927	245	12	.	.	PUNCT
iajs-3927	246	1	references	reference	NOUN
iajs-3927	246	2	1	1	NUM
iajs-3927	246	3	.	.	PUNCT
iajs-3927	246	4	davis	davis	PROPN
iajs-3927	246	5	ra	ra	PROPN
iajs-3927	246	6	,	,	PUNCT
iajs-3927	246	7	brockwell	brockwell	PROPN
iajs-3927	246	8	pj	pj	PROPN
iajs-3927	246	9	.	.	PROPN
iajs-3927	246	10	introduction	introduction	NOUN
iajs-3927	246	11	to	to	ADP
iajs-3927	246	12	time	time	NOUN
iajs-3927	246	13	series	series	NOUN
iajs-3927	246	14	and	and	CCONJ
iajs-3927	246	15	forecasting	forecasting	NOUN
iajs-3927	246	16	.	.	PUNCT
iajs-3927	247	1	springer	springer	NOUN
iajs-3927	247	2	publication	publication	NOUN
iajs-3927	247	3	;	;	PUNCT
iajs-3927	247	4	2016	2016	NUM
iajs-3927	247	5	.	.	PUNCT
iajs-3927	248	1	2	2	X
iajs-3927	248	2	.	.	X
iajs-3927	248	3	wei	wei	PROPN
iajs-3927	248	4	w.w	w.w	PROPN
iajs-3927	248	5	.	.	PROPN
iajs-3927	248	6	time	time	PROPN
iajs-3927	248	7	series	series	PROPN
iajs-3927	248	8	analysis	analysis	NOUN
iajs-3927	248	9	:	:	PUNCT
iajs-3927	248	10	univariate	univariate	ADJ
iajs-3927	248	11	and	and	CCONJ
iajs-3927	248	12	multivariate	multivariate	NOUN
iajs-3927	248	13	methods	method	NOUN
iajs-3927	248	14	.	.	PUNCT
iajs-3927	249	1	usa	usa	PROPN
iajs-3927	249	2	,	,	PUNCT
iajs-3927	249	3	pearson	pearson	PROPN
iajs-3927	249	4	addison	addison	PROPN
iajs-3927	249	5	wesley	wesley	PROPN
iajs-3927	249	6	,	,	PUNCT
iajs-3927	249	7	segunda	segunda	PROPN
iajs-3927	249	8	edicion	edicion	PROPN
iajs-3927	249	9	.2006	.2006	PROPN
iajs-3927	249	10	;	;	PUNCT
iajs-3927	249	11	cap	cap	NOUN
iajs-3927	249	12	,	,	PUNCT
iajs-3927	249	13	10	10	NUM
iajs-3927	249	14	:	:	SYM
iajs-3927	249	15	212	212	NUM
iajs-3927	249	16	-	-	SYM
iajs-3927	249	17	235	235	NUM
iajs-3927	249	18	.	.	NOUN
iajs-3927	249	19	3	3	X
iajs-3927	249	20	.	.	X
iajs-3927	249	21	creal	creal	PROPN
iajs-3927	249	22	d	d	PROPN
iajs-3927	249	23	,	,	PUNCT
iajs-3927	249	24	koopman	koopman	PROPN
iajs-3927	249	25	sj	sj	PROPN
iajs-3927	249	26	,	,	PUNCT
iajs-3927	249	27	lucas	lucas	PROPN
iajs-3927	249	28	,	,	PUNCT
iajs-3927	249	29	a.	a.	NOUN
iajs-3927	249	30	generalized	generalize	VERB
iajs-3927	249	31	autoregressive	autoregressive	ADJ
iajs-3927	249	32	score	score	NOUN
iajs-3927	249	33	models	model	NOUN
iajs-3927	249	34	with	with	ADP
iajs-3927	249	35	applications	application	NOUN
iajs-3927	249	36	.	.	PUNCT
iajs-3927	250	1	j	j	PROPN
iajs-3927	250	2	appl	appl	PROPN
iajs-3927	250	3	econ	econ	PROPN
iajs-3927	250	4	.2013	.2013	PROPN
iajs-3927	250	5	;	;	PUNCT
iajs-3927	250	6	28(5):777	28(5):777	X
iajs-3927	250	7	-	-	SYM
iajs-3927	250	8	795	795	NUM
iajs-3927	250	9	.	.	PUNCT
iajs-3927	251	1	http://dx.doi.org/10.1002/jae.1279	http://dx.doi.org/10.1002/jae.1279	NOUN
iajs-3927	251	2	.	.	PUNCT
iajs-3927	252	1	4	4	X
iajs-3927	252	2	.	.	X
iajs-3927	252	3	al	al	PROPN
iajs-3927	252	4	-	-	PUNCT
iajs-3927	252	5	nasser	nasser	PROPN
iajs-3927	252	6	am	am	PROPN
iajs-3927	252	7	,	,	PUNCT
iajs-3927	252	8	tariq	tariq	PROPN
iajs-3927	252	9	s.	s.	PROPN
iajs-3927	252	10	robust	robust	ADJ
iajs-3927	252	11	estimations	estimation	NOUN
iajs-3927	252	12	for	for	ADP
iajs-3927	252	13	power	power	NOUN
iajs-3927	252	14	spectrum	spectrum	NOUN
iajs-3927	252	15	in	in	ADP
iajs-3927	252	16	arma	arma	PROPN
iajs-3927	252	17	(	(	PUNCT
iajs-3927	252	18	1	1	NUM
iajs-3927	252	19	,	,	PUNCT
iajs-3927	252	20	1	1	X
iajs-3927	252	21	)	)	PUNCT
iajs-3927	252	22	model	model	NOUN
iajs-3927	252	23	simulation	simulation	NOUN
iajs-3927	252	24	study	study	PROPN
iajs-3927	252	25	.	.	PUNCT
iajs-3927	253	1	j	j	PROPN
iajs-3927	253	2	econ	econ	PROPN
iajs-3927	253	3	admin	admin	PROPN
iajs-3927	253	4	sci	sci	PROPN
iajs-3927	253	5	.	.	PUNCT
iajs-3927	254	1	2017	2017	NUM
iajs-3927	254	2	;	;	PUNCT
iajs-3927	254	3	23(98	23(98	NOUN
iajs-3927	254	4	)	)	PUNCT
iajs-3927	254	5	.	.	PUNCT
iajs-3927	255	1	https://doi.org/10.33095/jeas.v23i98.287	https://doi.org/10.33095/jeas.v23i98.287	NOUN
iajs-3927	255	2	.	.	PUNCT
iajs-3927	256	1	5	5	NUM
iajs-3927	256	2	.	.	X
iajs-3927	256	3	liu	liu	PROPN
iajs-3927	256	4	j	j	PROPN
iajs-3927	256	5	,	,	PUNCT
iajs-3927	256	6	kumar	kumar	PROPN
iajs-3927	256	7	s	s	PROPN
iajs-3927	256	8	,	,	PUNCT
iajs-3927	256	9	palomar	palomar	PROPN
iajs-3927	256	10	d.p	d.p	PROPN
iajs-3927	256	11	.	.	PROPN
iajs-3927	256	12	parameter	parameter	PROPN
iajs-3927	256	13	estimation	estimation	NOUN
iajs-3927	256	14	of	of	ADP
iajs-3927	256	15	heavy	heavy	ADJ
iajs-3927	256	16	-	-	PUNCT
iajs-3927	256	17	tailed	tail	VERB
iajs-3927	256	18	ar	ar	NOUN
iajs-3927	256	19	model	model	NOUN
iajs-3927	256	20	with	with	ADP
iajs-3927	256	21	missing	miss	VERB
iajs-3927	256	22	data	datum	NOUN
iajs-3927	256	23	via	via	ADP
iajs-3927	256	24	stochastic	stochastic	NOUN
iajs-3927	256	25	em	em	PRON
iajs-3927	256	26	.	.	PUNCT
iajs-3927	257	1	ieee	ieee	PROPN
iajs-3927	257	2	trans	trans	PROPN
iajs-3927	257	3	sign	sign	PROPN
iajs-3927	257	4	proc	proc	PROPN
iajs-3927	257	5	.2019	.2019	PROPN
iajs-3927	257	6	;	;	PUNCT
iajs-3927	257	7	67(8):2159	67(8):2159	NUM
iajs-3927	257	8	-	-	SYM
iajs-3927	257	9	2172	2172	NUM
iajs-3927	257	10	.	.	PUNCT
iajs-3927	258	1	https://doi.org/10.1109/tsp.2019.2899816	https://doi.org/10.1109/tsp.2019.2899816	PROPN
iajs-3927	258	2	.	.	PUNCT
iajs-3927	259	1	6	6	NUM
iajs-3927	259	2	.	.	X
iajs-3927	259	3	juma	juma	PROPN
iajs-3927	259	4	aa	aa	PROPN
iajs-3927	259	5	,	,	PUNCT
iajs-3927	259	6	al	al	PROPN
iajs-3927	259	7	-	-	PUNCT
iajs-3927	259	8	mohana	mohana	PROPN
iajs-3927	259	9	,	,	PUNCT
iajs-3927	259	10	fam	fam	PROPN
iajs-3927	259	11	.	.	PUNCT
iajs-3927	260	1	a	a	DET
iajs-3927	260	2	modified	modify	VERB
iajs-3927	260	3	approach	approach	NOUN
iajs-3927	260	4	by	by	ADP
iajs-3927	260	5	using	use	VERB
iajs-3927	260	6	prediction	prediction	NOUN
iajs-3927	260	7	to	to	PART
iajs-3927	260	8	build	build	VERB
iajs-3927	260	9	a	a	DET
iajs-3927	260	10	best	good	ADJ
iajs-3927	260	11	threshold	threshold	NOUN
iajs-3927	260	12	in	in	ADP
iajs-3927	260	13	arx	arx	PROPN
iajs-3927	260	14	model	model	NOUN
iajs-3927	260	15	with	with	ADP
iajs-3927	260	16	practical	practical	ADJ
iajs-3927	260	17	application	application	NOUN
iajs-3927	260	18	.	.	PUNCT
iajs-3927	261	1	baghdad	baghdad	PROPN
iajs-3927	261	2	sci	sci	PROPN
iajs-3927	261	3	j.	j.	PROPN
iajs-3927	261	4	2019	2019	NUM
iajs-3927	261	5	;	;	PUNCT
iajs-3927	261	6	16(4	16(4	NUM
iajs-3927	261	7	supplement	supplement	NOUN
iajs-3927	261	8	)	)	PUNCT
iajs-3927	261	9	.	.	PUNCT
iajs-3927	262	1	http://dx.doi.org/10.21123/bsj.2019.16.4(suppl.).1049	http://dx.doi.org/10.21123/bsj.2019.16.4(suppl.).1049	PRON
iajs-3927	262	2	7	7	NUM
iajs-3927	262	3	.	.	PUNCT
iajs-3927	262	4	naser	naser	PROPN
iajs-3927	262	5	j.a	j.a	PROPN
iajs-3927	262	6	.	.	PROPN
iajs-3927	262	7	estimate	estimate	PROPN
iajs-3927	262	8	ar(3	ar(3	NOUN
iajs-3927	262	9	)	)	PUNCT
iajs-3927	262	10	by	by	ADP
iajs-3927	262	11	using	use	VERB
iajs-3927	262	12	levinson	levinson	PROPN
iajs-3927	262	13	-	-	PUNCT
iajs-3927	262	14	durbin	durbin	ADJ
iajs-3927	262	15	recurrence	recurrence	NOUN
iajs-3927	262	16	&	&	CCONJ
iajs-3927	262	17	weighted	weight	VERB
iajs-3927	262	18	least	least	ADJ
iajs-3927	262	19	squares	square	NOUN
iajs-3927	262	20	error	error	NOUN
iajs-3927	262	21	methods	method	NOUN
iajs-3927	262	22	.	.	PUNCT
iajs-3927	263	1	ibn	ibn	PROPN
iajs-3927	263	2	al	al	PROPN
iajs-3927	263	3	-	-	PUNCT
iajs-3927	263	4	haitham	haitham	PROPN
iajs-3927	263	5	j	j	PROPN
iajs-3927	263	6	pure	pure	PROPN
iajs-3927	263	7	appl	appl	PROPN
iajs-3927	263	8	sci	sci	PROPN
iajs-3927	263	9	.	.	PROPN
iajs-3927	263	10	2017	2017	NUM
iajs-3927	263	11	;	;	PUNCT
iajs-3927	263	12	26(3):357378	26(3):357378	NUM
iajs-3927	263	13	.	.	PUNCT
iajs-3927	264	1	https://jih.uobaghdad.edu.iq/index.php/j/article/view/447	https://jih.uobaghdad.edu.iq/index.php/j/article/view/447	NOUN
iajs-3927	264	2	.	.	NOUN
iajs-3927	265	1	8	8	NUM
iajs-3927	265	2	.	.	X
iajs-3927	266	1	ashour	ashour	PROPN
iajs-3927	266	2	ma	ma	PROPN
iajs-3927	266	3	.	.	PROPN
iajs-3927	266	4	h.	h.	PROPN
iajs-3927	266	5	optimized	optimize	VERB
iajs-3927	266	6	artificial	artificial	ADJ
iajs-3927	266	7	neural	neural	ADJ
iajs-3927	266	8	network	network	NOUN
iajs-3927	266	9	models	model	NOUN
iajs-3927	266	10	to	to	ADP
iajs-3927	266	11	time	time	NOUN
iajs-3927	266	12	series	series	PROPN
iajs-3927	266	13	.	.	PUNCT
iajs-3927	267	1	baghdad	baghdad	PROPN
iajs-3927	267	2	sci	sci	PROPN
iajs-3927	267	3	j.	j.	PROPN
iajs-3927	267	4	2022	2022	PROPN
iajs-3927	267	5	;	;	PUNCT
iajs-3927	268	1	19(4	19(4	NUM
iajs-3927	268	2	):	):	PUNCT
iajs-3927	268	3	0899	0899	NUM
iajs-3927	268	4	-	-	SYM
iajs-3927	268	5	0899	0899	NUM
iajs-3927	268	6	.	.	PUNCT
iajs-3927	269	1	http://dx.doi.org/10.21123/bsj.2022.19.4.0899	http://dx.doi.org/10.21123/bsj.2022.19.4.0899	NOUN
iajs-3927	269	2	.	.	PROPN
iajs-3927	270	1	9	9	X
iajs-3927	270	2	.	.	X
iajs-3927	270	3	mudhir	mudhir	PROPN
iajs-3927	270	4	aa	aa	PROPN
iajs-3927	270	5	.	.	PUNCT
iajs-3927	271	1	mixing	mix	VERB
iajs-3927	271	2	arma	arma	NOUN
iajs-3927	271	3	models	model	NOUN
iajs-3927	271	4	with	with	ADP
iajs-3927	271	5	egarch	egarch	NOUN
iajs-3927	271	6	models	model	NOUN
iajs-3927	271	7	and	and	CCONJ
iajs-3927	271	8	using	use	VERB
iajs-3927	271	9	it	it	PRON
iajs-3927	271	10	in	in	ADP
iajs-3927	271	11	modeling	modeling	NOUN
iajs-3927	271	12	and	and	CCONJ
iajs-3927	271	13	analyzing	analyze	VERB
iajs-3927	271	14	the	the	DET
iajs-3927	271	15	time	time	NOUN
iajs-3927	271	16	series	series	NOUN
iajs-3927	271	17	of	of	ADP
iajs-3927	271	18	temperature	temperature	NOUN
iajs-3927	271	19	.	.	PUNCT
iajs-3927	272	1	iraqi	iraqi	ADJ
iajs-3927	272	2	j	j	PROPN
iajs-3927	272	3	sci	sci	PROPN
iajs-3927	272	4	.	.	PUNCT
iajs-3927	273	1	2021	2021	NUM
iajs-3927	273	2	;	;	PUNCT
iajs-3927	273	3	2307	2307	NUM
iajs-3927	273	4	-	-	SYM
iajs-3927	273	5	2326	2326	NUM
iajs-3927	273	6	.	.	PUNCT
iajs-3927	274	1	http://dx.doi.org/10.24996/ijs.2021.62.7.19	http://dx.doi.org/10.24996/ijs.2021.62.7.19	ADJ
iajs-3927	275	1	10	10	NUM
iajs-3927	275	2	.	.	PUNCT
iajs-3927	275	3	hussain	hussain	PROPN
iajs-3927	275	4	b.a	b.a	PROPN
iajs-3927	275	5	,	,	PUNCT
iajs-3927	275	6	al	al	PROPN
iajs-3927	275	7	-	-	PUNCT
iajs-3927	275	8	dabbagh	dabbagh	PROPN
iajs-3927	275	9	r.	r.	PROPN
iajs-3927	275	10	a.	a.	PROPN
iajs-3927	275	11	d.	d.	PROPN
iajs-3927	276	1	a	a	DET
iajs-3927	276	2	canonical	canonical	ADJ
iajs-3927	276	3	genetic	genetic	ADJ
iajs-3927	276	4	algorithm	algorithm	NOUN
iajs-3927	276	5	for	for	ADP
iajs-3927	276	6	likelihood	likelihood	NOUN
iajs-3927	276	7	estimator	estimator	NOUN
iajs-3927	276	8	of	of	ADP
iajs-3927	276	9	first	first	ADJ
iajs-3927	276	10	order	order	NOUN
iajs-3927	276	11	moving	move	VERB
iajs-3927	276	12	average	average	ADJ
iajs-3927	276	13	model	model	NOUN
iajs-3927	276	14	parameter.neural	parameter.neural	ADJ
iajs-3927	276	15	network	network	NOUN
iajs-3927	276	16	world	world	NOUN
iajs-3927	276	17	.	.	PUNCT
iajs-3927	277	1	2007	2007	NUM
iajs-3927	277	2	;	;	PUNCT
iajs-3927	277	3	17(4	17(4	NUM
iajs-3927	277	4	):	):	PUNCT
iajs-3927	277	5	271	271	X
iajs-3927	277	6	.	.	PUNCT
iajs-3927	277	7	http://dx.doi.org/10.1002/jae.1279	http://dx.doi.org/10.1002/jae.1279	NOUN
iajs-3927	277	8	https://doi.org/10.33095/jeas.v23i98.287	https://doi.org/10.33095/jeas.v23i98.287	NOUN
iajs-3927	277	9	https://doi.org/10.1109/tsp.2019.2899816	https://doi.org/10.1109/tsp.2019.2899816	PROPN
iajs-3927	277	10	http://dx.doi.org/10.21123/bsj.2019.16.4(suppl.).1049	http://dx.doi.org/10.21123/bsj.2019.16.4(suppl.).1049	VERB
iajs-3927	277	11	https://jih.uobaghdad.edu.iq/index.php/j/article/view/447	https://jih.uobaghdad.edu.iq/index.php/j/article/view/447	PROPN
iajs-3927	277	12	http://dx.doi.org/10.21123/bsj.2022.19.4.0899	http://dx.doi.org/10.21123/bsj.2022.19.4.0899	PROPN
iajs-3927	277	13	http://dx.doi.org/10.24996/ijs.2021.62.7.19	http://dx.doi.org/10.24996/ijs.2021.62.7.19	X
iajs-3927	277	14	ihjpas	ihjpas	PROPN
iajs-3927	277	15	.	.	PUNCT
iajs-3927	278	1	2025,38(4	2025,38(4	X
iajs-3927	278	2	)	)	PUNCT
iajs-3927	279	1	331	331	NUM
iajs-3927	279	2	11	11	NUM
iajs-3927	279	3	.	.	PUNCT
iajs-3927	280	1	salah	salah	PROPN
iajs-3927	280	2	om	om	PROPN
iajs-3927	280	3	,	,	PUNCT
iajs-3927	280	4	mahdi	mahdi	PROPN
iajs-3927	280	5	gjm	gjm	PROPN
iajs-3927	280	6	,	,	PUNCT
iajs-3927	280	7	al	al	PROPN
iajs-3927	280	8	-	-	PUNCT
iajs-3927	280	9	latif	latif	PROPN
iajs-3927	280	10	iaa	iaa	PROPN
iajs-3927	280	11	.	.	PUNCT
iajs-3927	281	1	a	a	DET
iajs-3927	281	2	modified	modify	VERB
iajs-3927	281	3	arima	arima	NOUN
iajs-3927	281	4	model	model	NOUN
iajs-3927	281	5	for	for	ADP
iajs-3927	281	6	forecasting	forecast	VERB
iajs-3927	281	7	chemical	chemical	ADJ
iajs-3927	281	8	sales	sale	NOUN
iajs-3927	281	9	in	in	ADP
iajs-3927	281	10	the	the	DET
iajs-3927	281	11	usa	usa	PROPN
iajs-3927	281	12	.	.	PROPN
iajs-3927	281	13	in	in	ADP
iajs-3927	281	14	j	j	PROPN
iajs-3927	281	15	physics	physics	PROPN
iajs-3927	281	16	:	:	PUNCT
iajs-3927	281	17	conference	conference	NOUN
iajs-3927	281	18	series	series	NOUN
iajs-3927	281	19	.	.	PUNCT
iajs-3927	281	20	2021	2021	NUM
iajs-3927	281	21	;	;	PUNCT
iajs-3927	281	22	1879(3	1879(3	NUM
iajs-3927	281	23	):	):	PUNCT
iajs-3927	281	24	032008	032008	NUM
iajs-3927	281	25	.	.	PUNCT
iajs-3927	282	1	iop	iop	NOUN
iajs-3927	282	2	publishing	publishing	NOUN
iajs-3927	282	3	.	.	PUNCT
iajs-3927	283	1	http://dx.doi.org/10.1088/1742-6596/1879/3/032008	http://dx.doi.org/10.1088/1742-6596/1879/3/032008	NOUN
iajs-3927	283	2	12	12	NUM
iajs-3927	283	3	.	.	PUNCT
iajs-3927	284	1	chrétiena	chrétiena	PROPN
iajs-3927	284	2	s	s	PROPN
iajs-3927	284	3	,	,	PUNCT
iajs-3927	284	4	wei	wei	PROPN
iajs-3927	284	5	t	t	PROPN
iajs-3927	284	6	,	,	PUNCT
iajs-3927	284	7	al	al	PROPN
iajs-3927	284	8	-	-	PUNCT
iajs-3927	284	9	sarray	sarray	PROPN
iajs-3927	284	10	b.	b.	PROPN
iajs-3927	284	11	a.	a.	PROPN
iajs-3927	284	12	h.	h.	PROPN
iajs-3927	284	13	joint	joint	PROPN
iajs-3927	284	14	estimation	estimation	NOUN
iajs-3927	284	15	and	and	CCONJ
iajs-3927	284	16	model	model	NOUN
iajs-3927	284	17	order	order	NOUN
iajs-3927	284	18	selection	selection	NOUN
iajs-3927	284	19	for	for	ADP
iajs-3927	284	20	one	one	NUM
iajs-3927	284	21	dimensional	dimensional	ADJ
iajs-3927	284	22	arma	arma	NOUN
iajs-3927	284	23	models	model	NOUN
iajs-3927	284	24	via	via	ADP
iajs-3927	284	25	convex	convex	PROPN
iajs-3927	284	26	optimization	optimization	NOUN
iajs-3927	284	27	:	:	PUNCT
iajs-3927	284	28	a	a	DET
iajs-3927	284	29	nuclear	nuclear	ADJ
iajs-3927	284	30	norm	norm	NOUN
iajs-3927	284	31	penalization	penalization	NOUN
iajs-3927	284	32	approach.arxiv	approach.arxiv	PROPN
iajs-3927	284	33	preprint.2015;arxiv:1508.01681.https://doi.org/10.48550	preprint.2015;arxiv:1508.01681.https://doi.org/10.48550	PROPN
iajs-3927	284	34	/	/	SYM
iajs-3927	284	35	arxiv.1508.01681	arxiv.1508.01681	PROPN
iajs-3927	284	36	.	.	PROPN
iajs-3927	285	1	13	13	NUM
iajs-3927	285	2	.	.	X
iajs-3927	285	3	ali	ali	PROPN
iajs-3927	285	4	sm	sm	PROPN
iajs-3927	285	5	.	.	PROPN
iajs-3927	285	6	time	time	PROPN
iajs-3927	285	7	series	series	PROPN
iajs-3927	285	8	analysis	analysis	NOUN
iajs-3927	285	9	of	of	ADP
iajs-3927	285	10	baghdad	baghdad	PROPN
iajs-3927	285	11	rainfall	rainfall	NOUN
iajs-3927	285	12	using	use	VERB
iajs-3927	285	13	arima	arima	PROPN
iajs-3927	285	14	method	method	NOUN
iajs-3927	285	15	.	.	PUNCT
iajs-3927	286	1	iraqi	iraqi	ADJ
iajs-3927	286	2	j	j	PROPN
iajs-3927	286	3	sci	sci	PROPN
iajs-3927	286	4	.	.	PUNCT
iajs-3927	287	1	2013;54(4	2013;54(4	NUM
iajs-3927	287	2	):	):	PUNCT
iajs-3927	287	3	1136	1136	NUM
iajs-3927	287	4	-	-	SYM
iajs-3927	287	5	1142	1142	NUM
iajs-3927	287	6	.	.	PUNCT
iajs-3927	288	1	14	14	NUM
iajs-3927	288	2	.	.	PUNCT
iajs-3927	289	1	montgomery	montgomery	PROPN
iajs-3927	289	2	dc	dc	PROPN
iajs-3927	289	3	,	,	PUNCT
iajs-3927	289	4	jennings	jennings	PROPN
iajs-3927	289	5	cl	cl	PROPN
iajs-3927	289	6	,	,	PUNCT
iajs-3927	289	7	kulahci	kulahci	NOUN
iajs-3927	289	8	,	,	PUNCT
iajs-3927	289	9	m.	m.	NOUN
iajs-3927	289	10	introduction	introduction	NOUN
iajs-3927	289	11	to	to	ADP
iajs-3927	289	12	time	time	NOUN
iajs-3927	289	13	series	series	NOUN
iajs-3927	289	14	analysis	analysis	NOUN
iajs-3927	289	15	and	and	CCONJ
iajs-3927	289	16	forecasting	forecasting	NOUN
iajs-3927	289	17	,	,	PUNCT
iajs-3927	289	18	john	john	PROPN
iajs-3927	289	19	wiley	wiley	PROPN
iajs-3927	289	20	&	&	CCONJ
iajs-3927	289	21	sons	son	NOUN
iajs-3927	289	22	;	;	PUNCT
iajs-3927	289	23	2015	2015	NUM
iajs-3927	289	24	.	.	PUNCT
iajs-3927	290	1	15	15	NUM
iajs-3927	290	2	.	.	X
iajs-3927	290	3	palma	palma	PROPN
iajs-3927	290	4	w.	w.	PROPN
iajs-3927	290	5	time	time	PROPN
iajs-3927	290	6	series	series	PROPN
iajs-3927	290	7	analysis	analysis	PROPN
iajs-3927	290	8	,	,	PUNCT
iajs-3927	290	9	john	john	PROPN
iajs-3927	290	10	wiley	wiley	PROPN
iajs-3927	290	11	&	&	CCONJ
iajs-3927	290	12	sons	son	NOUN
iajs-3927	290	13	;	;	PUNCT
iajs-3927	290	14	2016	2016	NUM
iajs-3927	290	15	.	.	PUNCT
iajs-3927	291	1	16	16	NUM
iajs-3927	291	2	.	.	PUNCT
iajs-3927	292	1	mills	mills	PROPN
iajs-3927	292	2	tc	tc	PROPN
iajs-3927	292	3	.	.	PROPN
iajs-3927	293	1	applied	apply	VERB
iajs-3927	293	2	time	time	NOUN
iajs-3927	293	3	series	series	PROPN
iajs-3927	293	4	analysis	analysis	NOUN
iajs-3927	293	5	:	:	PUNCT
iajs-3927	293	6	a	a	DET
iajs-3927	293	7	practical	practical	ADJ
iajs-3927	293	8	guide	guide	NOUN
iajs-3927	293	9	to	to	ADP
iajs-3927	293	10	modeling	modeling	NOUN
iajs-3927	293	11	and	and	CCONJ
iajs-3927	293	12	forecasting	forecasting	NOUN
iajs-3927	293	13	,	,	PUNCT
iajs-3927	293	14	academic	academic	ADJ
iajs-3927	293	15	press	press	NOUN
iajs-3927	293	16	;	;	PUNCT
iajs-3927	293	17	2019	2019	NUM
iajs-3927	293	18	.	.	PUNCT
iajs-3927	294	1	17	17	NUM
iajs-3927	294	2	.	.	PUNCT
iajs-3927	294	3	kirchgässner	kirchgässner	PROPN
iajs-3927	294	4	g	g	PROPN
iajs-3927	294	5	,	,	PUNCT
iajs-3927	294	6	wolters	wolters	PROPN
iajs-3927	294	7	j	j	PROPN
iajs-3927	294	8	,	,	PUNCT
iajs-3927	294	9	hassler	hassler	NOUN
iajs-3927	294	10	,	,	PUNCT
iajs-3927	294	11	u.	u.	NOUN
iajs-3927	294	12	introduction	introduction	NOUN
iajs-3927	294	13	to	to	ADP
iajs-3927	294	14	modern	modern	ADJ
iajs-3927	294	15	time	time	NOUN
iajs-3927	294	16	series	series	PROPN
iajs-3927	294	17	analysis	analysis	NOUN
iajs-3927	294	18	.	.	PUNCT
iajs-3927	295	1	springer	springer	NOUN
iajs-3927	295	2	science	science	PROPN
iajs-3927	295	3	&	&	CCONJ
iajs-3927	295	4	business	business	NOUN
iajs-3927	295	5	media	medium	NOUN
iajs-3927	295	6	;	;	PUNCT
iajs-3927	295	7	2012	2012	NUM
iajs-3927	295	8	.	.	PUNCT
iajs-3927	296	1	18	18	NUM
iajs-3927	296	2	.	.	PUNCT
iajs-3927	297	1	anderson	anderson	PROPN
iajs-3927	297	2	t.w	t.w	PROPN
iajs-3927	297	3	.	.	PROPN
iajs-3927	298	1	the	the	DET
iajs-3927	298	2	statistical	statistical	ADJ
iajs-3927	298	3	analysis	analysis	NOUN
iajs-3927	298	4	of	of	ADP
iajs-3927	298	5	time	time	NOUN
iajs-3927	298	6	series	series	NOUN
iajs-3927	298	7	.	.	PUNCT
iajs-3927	299	1	john	john	PROPN
iajs-3927	299	2	wiley	wiley	PROPN
iajs-3927	299	3	&	&	CCONJ
iajs-3927	299	4	sons	son	NOUN
iajs-3927	299	5	;	;	PUNCT
iajs-3927	299	6	2011	2011	NUM
iajs-3927	299	7	.	.	PUNCT
iajs-3927	300	1	19	19	NUM
iajs-3927	300	2	.	.	X
iajs-3927	301	1	guidolin	guidolin	PROPN
iajs-3927	301	2	m	m	PROPN
iajs-3927	301	3	,	,	PUNCT
iajs-3927	301	4	pedio	pedio	ADJ
iajs-3927	301	5	m.	m.	NOUN
iajs-3927	301	6	essentials	essential	NOUN
iajs-3927	301	7	of	of	ADP
iajs-3927	301	8	time	time	NOUN
iajs-3927	301	9	series	series	NOUN
iajs-3927	301	10	for	for	ADP
iajs-3927	301	11	financial	financial	ADJ
iajs-3927	301	12	applications	application	NOUN
iajs-3927	301	13	.	.	PUNCT
iajs-3927	302	1	academic	academic	ADJ
iajs-3927	302	2	press	press	NOUN
iajs-3927	302	3	;	;	PUNCT
iajs-3927	302	4	2018	2018	NUM
iajs-3927	302	5	.	.	PUNCT
iajs-3927	303	1	20	20	NUM
iajs-3927	303	2	.	.	PUNCT
iajs-3927	304	1	brockwell	brockwell	PROPN
iajs-3927	304	2	pj	pj	PROPN
iajs-3927	304	3	,	,	PUNCT
iajs-3927	304	4	davis	davis	PROPN
iajs-3927	304	5	ra	ra	PROPN
iajs-3927	304	6	.	.	PROPN
iajs-3927	304	7	time	time	PROPN
iajs-3927	304	8	series	series	PROPN
iajs-3927	304	9	:	:	PUNCT
iajs-3927	304	10	theory	theory	NOUN
iajs-3927	304	11	and	and	CCONJ
iajs-3927	304	12	methods	method	NOUN
iajs-3927	304	13	.	.	PUNCT
iajs-3927	305	1	springer	springer	NOUN
iajs-3927	305	2	science	science	PROPN
iajs-3927	305	3	&	&	CCONJ
iajs-3927	305	4	business	business	NOUN
iajs-3927	305	5	media	medium	NOUN
iajs-3927	305	6	;	;	PUNCT
iajs-3927	305	7	1991	1991	NUM
iajs-3927	305	8	.	.	PUNCT
iajs-3927	306	1	21	21	NUM
iajs-3927	306	2	.	.	X
iajs-3927	306	3	box	box	PROPN
iajs-3927	306	4	g.	g.	PROPN
iajs-3927	306	5	time	time	PROPN
iajs-3927	306	6	series	series	PROPN
iajs-3927	306	7	analysis	analysis	NOUN
iajs-3927	306	8	,	,	PUNCT
iajs-3927	306	9	forecasting	forecasting	NOUN
iajs-3927	306	10	and	and	CCONJ
iajs-3927	306	11	control	control	NOUN
iajs-3927	306	12	.	.	PUNCT
iajs-3927	307	1	in	in	ADP
iajs-3927	307	2	a	a	DET
iajs-3927	307	3	very	very	ADV
iajs-3927	307	4	british	british	ADJ
iajs-3927	307	5	affair	affair	NOUN
iajs-3927	307	6	:	:	PUNCT
iajs-3927	307	7	six	six	NUM
iajs-3927	307	8	britons	briton	NOUN
iajs-3927	307	9	and	and	CCONJ
iajs-3927	307	10	the	the	DET
iajs-3927	307	11	development	development	NOUN
iajs-3927	307	12	of	of	ADP
iajs-3927	307	13	time	time	NOUN
iajs-3927	307	14	series	series	PROPN
iajs-3927	307	15	analysis	analysis	NOUN
iajs-3927	307	16	during	during	ADP
iajs-3927	307	17	the	the	DET
iajs-3927	307	18	20th	20th	ADJ
iajs-3927	307	19	century	century	NOUN
iajs-3927	307	20	.	.	PUNCT
iajs-3927	308	1	london	london	PROPN
iajs-3927	308	2	:	:	PUNCT
iajs-3927	308	3	palgrave	palgrave	PROPN
iajs-3927	308	4	macmillan	macmillan	PROPN
iajs-3927	308	5	uk	uk	PROPN
iajs-3927	308	6	;	;	PUNCT
iajs-3927	308	7	2013	2013	NUM
iajs-3927	308	8	;	;	PUNCT
iajs-3927	308	9	pp	pp	X
iajs-3927	308	10	.	.	PUNCT
iajs-3927	309	1	161	161	NUM
iajs-3927	309	2	-	-	SYM
iajs-3927	309	3	215	215	NUM
iajs-3927	309	4	.	.	PUNCT
iajs-3927	310	1	22	22	NUM
iajs-3927	310	2	.	.	PUNCT
iajs-3927	311	1	hamilton	hamilton	PROPN
iajs-3927	311	2	j.	j.	PROPN
iajs-3927	311	3	d.	d.	PROPN
iajs-3927	311	4	time	time	PROPN
iajs-3927	311	5	series	series	PROPN
iajs-3927	311	6	analysis	analysis	PROPN
iajs-3927	311	7	,	,	PUNCT
iajs-3927	311	8	princeton	princeton	PROPN
iajs-3927	311	9	university	university	PROPN
iajs-3927	311	10	press	press	NOUN
iajs-3927	311	11	;	;	PUNCT
iajs-3927	311	12	2020	2020	NUM
iajs-3927	311	13	.	.	PUNCT
iajs-3927	312	1	23	23	NUM
iajs-3927	312	2	.	.	PUNCT
iajs-3927	313	1	millar	millar	PROPN
iajs-3927	313	2	rb	rb	PROPN
iajs-3927	313	3	.	.	PUNCT
iajs-3927	313	4	maximum	maximum	ADJ
iajs-3927	313	5	likelihood	likelihood	NOUN
iajs-3927	313	6	estimation	estimation	NOUN
iajs-3927	313	7	and	and	CCONJ
iajs-3927	313	8	inference	inference	NOUN
iajs-3927	313	9	:	:	PUNCT
iajs-3927	313	10	with	with	ADP
iajs-3927	313	11	examples	example	NOUN
iajs-3927	313	12	in	in	ADP
iajs-3927	313	13	r	r	NOUN
iajs-3927	313	14	,	,	PUNCT
iajs-3927	313	15	sas	sa	NOUN
iajs-3927	313	16	and	and	CCONJ
iajs-3927	313	17	admb	admb	PROPN
iajs-3927	313	18	,	,	PUNCT
iajs-3927	313	19	john	john	PROPN
iajs-3927	313	20	wiley	wiley	PROPN
iajs-3927	313	21	&	&	CCONJ
iajs-3927	313	22	sons	son	NOUN
iajs-3927	313	23	;	;	PUNCT
iajs-3927	313	24	2011	2011	NUM
iajs-3927	313	25	.	.	PUNCT
iajs-3927	314	1	24	24	NUM
iajs-3927	314	2	.	.	PUNCT
iajs-3927	315	1	al	al	PROPN
iajs-3927	315	2	-	-	PUNCT
iajs-3927	315	3	sarray	sarray	PROPN
iajs-3927	315	4	b	b	PROPN
iajs-3927	315	5	.comparison	.comparison	NOUN
iajs-3927	315	6	among	among	ADP
iajs-3927	315	7	forecasting	forecasting	NOUN
iajs-3927	315	8	methods	method	NOUN
iajs-3927	315	9	of	of	ADP
iajs-3927	315	10	markov	markov	NOUN
iajs-3927	315	11	and	and	CCONJ
iajs-3927	315	12	mixed	mixed	ADJ
iajs-3927	315	13	models	model	NOUN
iajs-3927	315	14	by	by	ADP
iajs-3927	315	15	using	use	VERB
iajs-3927	315	16	simulation	simulation	NOUN
iajs-3927	315	17	.	.	PUNCT
iajs-3927	316	1	master	master	NOUN
iajs-3927	316	2	thesis	thesis	NOUN
iajs-3927	316	3	,	,	PUNCT
iajs-3927	316	4	college	college	NOUN
iajs-3927	316	5	of	of	ADP
iajs-3927	316	6	science	science	NOUN
iajs-3927	316	7	,	,	PUNCT
iajs-3927	316	8	university	university	NOUN
iajs-3927	316	9	of	of	ADP
iajs-3927	316	10	baghdad	baghdad	PROPN
iajs-3927	316	11	,	,	PUNCT
iajs-3927	316	12	2001	2001	NUM
iajs-3927	316	13	.	.	PUNCT
iajs-3927	317	1	25	25	NUM
iajs-3927	317	2	.	.	PUNCT
iajs-3927	317	3	bauwens	bauwens	PROPN
iajs-3927	317	4	l	l	PROPN
iajs-3927	317	5	,	,	PUNCT
iajs-3927	317	6	rombouts	rombout	VERB
iajs-3927	317	7	jv	jv	PROPN
iajs-3927	317	8	.	.	PUNCT
iajs-3927	318	1	on	on	ADP
iajs-3927	318	2	marginal	marginal	ADJ
iajs-3927	318	3	likelihood	likelihood	NOUN
iajs-3927	318	4	computation	computation	NOUN
iajs-3927	318	5	in	in	ADP
iajs-3927	318	6	change	change	NOUN
iajs-3927	318	7	-	-	PUNCT
iajs-3927	318	8	point	point	NOUN
iajs-3927	318	9	models	model	NOUN
iajs-3927	318	10	.	.	PUNCT
iajs-3927	319	1	computational	computational	ADJ
iajs-3927	319	2	stat	stat	PROPN
iajs-3927	319	3	data	data	PROPN
iajs-3927	319	4	anal	anal	NOUN
iajs-3927	319	5	.	.	PUNCT
iajs-3927	320	1	2012;56(11	2012;56(11	NUM
iajs-3927	320	2	)	)	PUNCT
iajs-3927	320	3	,	,	PUNCT
iajs-3927	320	4	3415	3415	NUM
iajs-3927	320	5	-	-	SYM
iajs-3927	320	6	3429	3429	NUM
iajs-3927	320	7	.	.	PUNCT
iajs-3927	321	1	http://dx.doi.org/10.1016/j.csda.2010.06.025	http://dx.doi.org/10.1016/j.csda.2010.06.025	PROPN
iajs-3927	321	2	.	.	PROPN
iajs-3927	322	1	26	26	NUM
iajs-3927	322	2	.	.	PUNCT
iajs-3927	322	3	cudeck	cudeck	NOUN
iajs-3927	322	4	r	r	PROPN
iajs-3927	322	5	,	,	PUNCT
iajs-3927	322	6	harring	harring	PROPN
iajs-3927	322	7	j.	j.	PROPN
iajs-3927	322	8	r	r	PROPN
iajs-3927	322	9	,	,	PUNCT
iajs-3927	322	10	du	du	PROPN
iajs-3927	322	11	toit	toit	PROPN
iajs-3927	322	12	s.	s.	PROPN
iajs-3927	322	13	h.	h.	PROPN
iajs-3927	322	14	marginal	marginal	ADJ
iajs-3927	322	15	maximum	maximum	ADJ
iajs-3927	322	16	likelihood	likelihood	NOUN
iajs-3927	322	17	estimation	estimation	NOUN
iajs-3927	322	18	of	of	ADP
iajs-3927	322	19	a	a	DET
iajs-3927	322	20	latent	latent	ADJ
iajs-3927	322	21	variable	variable	ADJ
iajs-3927	322	22	model	model	NOUN
iajs-3927	322	23	with	with	ADP
iajs-3927	322	24	interaction	interaction	NOUN
iajs-3927	322	25	.	.	PUNCT
iajs-3927	323	1	j	j	PROPN
iajs-3927	323	2	educational	educational	ADJ
iajs-3927	323	3	behavioral	behavioral	ADJ
iajs-3927	323	4	stat	stat	NOUN
iajs-3927	323	5	.	.	PUNCT
iajs-3927	324	1	2009	2009	NUM
iajs-3927	324	2	;	;	PUNCT
iajs-3927	324	3	34(1	34(1	NUM
iajs-3927	324	4	)	)	PUNCT
iajs-3927	324	5	,	,	PUNCT
iajs-3927	324	6	131	131	NUM
iajs-3927	324	7	-	-	SYM
iajs-3927	324	8	144	144	NUM
iajs-3927	324	9	.	.	PUNCT
iajs-3927	325	1	https://doi.org/10.3102/1076998607313593	https://doi.org/10.3102/1076998607313593	NOUN
iajs-3927	325	2	.	.	PUNCT
iajs-3927	326	1	27	27	NUM
iajs-3927	326	2	.	.	PUNCT
iajs-3927	327	1	balakrishna	balakrishna	PROPN
iajs-3927	327	2	n.	n.	PROPN
iajs-3927	327	3	non	non	ADJ
iajs-3927	327	4	-	-	ADJ
iajs-3927	327	5	gaussian	gaussian	ADJ
iajs-3927	327	6	autoregressive	autoregressive	ADJ
iajs-3927	327	7	-	-	PUNCT
iajs-3927	327	8	type	type	NOUN
iajs-3927	327	9	time	time	NOUN
iajs-3927	327	10	series	series	NOUN
iajs-3927	327	11	.	.	PUNCT
iajs-3927	328	1	singapore	singapore	PROPN
iajs-3927	328	2	.	.	PUNCT
iajs-3927	328	3	springer	springer	NOUN
iajs-3927	328	4	;	;	PUNCT
iajs-3927	328	5	2021	2021	NUM
iajs-3927	328	6	.	.	PUNCT
iajs-3927	329	1	28	28	NUM
iajs-3927	329	2	.	.	PUNCT
iajs-3927	330	1	ullrich	ullrich	PROPN
iajs-3927	330	2	t.	t.	PROPN
iajs-3927	330	3	on	on	ADP
iajs-3927	330	4	the	the	DET
iajs-3927	330	5	autoregressive	autoregressive	ADJ
iajs-3927	330	6	time	time	NOUN
iajs-3927	330	7	series	series	NOUN
iajs-3927	330	8	model	model	NOUN
iajs-3927	330	9	using	use	VERB
iajs-3927	330	10	real	real	ADJ
iajs-3927	330	11	and	and	CCONJ
iajs-3927	330	12	complex	complex	ADJ
iajs-3927	330	13	analysis	analysis	NOUN
iajs-3927	330	14	.	.	PUNCT
iajs-3927	331	1	forecasting	forecasting	NOUN
iajs-3927	331	2	.	.	PUNCT
iajs-3927	332	1	2021	2021	NUM
iajs-3927	332	2	;	;	PUNCT
iajs-3927	332	3	3(4	3(4	NUM
iajs-3927	332	4	)	)	PUNCT
iajs-3927	332	5	,	,	PUNCT
iajs-3927	332	6	716	716	NUM
iajs-3927	332	7	-	-	SYM
iajs-3927	332	8	728	728	NUM
iajs-3927	332	9	.	.	PUNCT
iajs-3927	333	1	https://doi.org/10.3390/forecast3040044	https://doi.org/10.3390/forecast3040044	PROPN
iajs-3927	333	2	.	.	PUNCT
iajs-3927	334	1	29	29	NUM
iajs-3927	334	2	.	.	PUNCT
iajs-3927	334	3	wilson	wilson	PROPN
iajs-3927	334	4	gt	gt	PROPN
iajs-3927	334	5	.	.	PROPN
iajs-3927	334	6	time	time	PROPN
iajs-3927	334	7	series	series	PROPN
iajs-3927	334	8	analysis	analysis	NOUN
iajs-3927	334	9	:	:	PUNCT
iajs-3927	334	10	forecasting	forecasting	NOUN
iajs-3927	334	11	and	and	CCONJ
iajs-3927	334	12	control	control	NOUN
iajs-3927	334	13	.	.	PUNCT
iajs-3927	335	1	by	by	ADP
iajs-3927	335	2	george	george	PROPN
iajs-3927	335	3	ep	ep	PROPN
iajs-3927	335	4	box	box	PROPN
iajs-3927	335	5	,	,	PUNCT
iajs-3927	335	6	gwilym	gwilym	PROPN
iajs-3927	335	7	m.	m.	PROPN
iajs-3927	335	8	jenkins	jenkins	PROPN
iajs-3927	335	9	,	,	PUNCT
iajs-3927	335	10	gregory	gregory	PROPN
iajs-3927	335	11	c.	c.	PROPN
iajs-3927	335	12	reinsel	reinsel	PROPN
iajs-3927	335	13	and	and	CCONJ
iajs-3927	335	14	greta	greta	PROPN
iajs-3927	335	15	m.	m.	PROPN
iajs-3927	335	16	ljung	ljung	PROPN
iajs-3927	335	17	.	.	PUNCT
iajs-3927	336	1	published	publish	VERB
iajs-3927	336	2	by	by	ADP
iajs-3927	336	3	john	john	PROPN
iajs-3927	336	4	wiley	wiley	PROPN
iajs-3927	336	5	and	and	CCONJ
iajs-3927	336	6	sons	sons	PROPN
iajs-3927	336	7	inc	inc	PROPN
iajs-3927	336	8	.	.	PROPN
iajs-3927	336	9	,	,	PUNCT
iajs-3927	336	10	hoboken	hoboken	PROPN
iajs-3927	336	11	,	,	PUNCT
iajs-3927	336	12	new	new	PROPN
iajs-3927	336	13	jersey	jersey	PROPN
iajs-3927	336	14	2015	2015	NUM
iajs-3927	336	15	.	.	PUNCT
iajs-3927	337	1	30	30	NUM
iajs-3927	337	2	.	.	PUNCT
iajs-3927	338	1	forbes	forbes	PROPN
iajs-3927	338	2	c	c	PROPN
iajs-3927	338	3	,	,	PUNCT
iajs-3927	338	4	evans	evans	PROPN
iajs-3927	338	5	m	m	PROPN
iajs-3927	338	6	,	,	PUNCT
iajs-3927	338	7	hastings	hastings	PROPN
iajs-3927	338	8	,	,	PUNCT
iajs-3927	338	9	n	n	CCONJ
iajs-3927	338	10	,	,	PUNCT
iajs-3927	338	11	peacock	peacock	PROPN
iajs-3927	338	12	b.	b.	PROPN
iajs-3927	338	13	statistical	statistical	ADJ
iajs-3927	338	14	distributions	distribution	NOUN
iajs-3927	338	15	.	.	PUNCT
iajs-3927	339	1	john	john	PROPN
iajs-3927	339	2	wiley	wiley	PROPN
iajs-3927	339	3	&	&	CCONJ
iajs-3927	339	4	sons	son	NOUN
iajs-3927	339	5	2011	2011	NUM
iajs-3927	339	6	.	.	PUNCT
iajs-3927	340	1	http://dx.doi.org/10.1088/1742-6596/1879/3/032008	http://dx.doi.org/10.1088/1742-6596/1879/3/032008	NOUN
iajs-3927	340	2	https://doi.org/10.48550/arxiv.1508.01681	https://doi.org/10.48550/arxiv.1508.01681	PROPN
iajs-3927	340	3	http://dx.doi.org/10.1016/j.csda.2010.06.025	http://dx.doi.org/10.1016/j.csda.2010.06.025	PROPN
iajs-3927	340	4	https://doi.org/10.3102/1076998607313593	https://doi.org/10.3102/1076998607313593	NUM
iajs-3927	340	5	https://doi.org/10.3390/forecast3040044	https://doi.org/10.3390/forecast3040044	PROPN