id	sid	tid	token	lemma	pos
ejpam-5788	1	1	european	european	PROPN
ejpam-5788	1	2	journal	journal	PROPN
ejpam-5788	1	3	of	of	ADP
ejpam-5788	1	4	pure	pure	ADJ
ejpam-5788	1	5	and	and	CCONJ
ejpam-5788	1	6	applied	applied	ADJ
ejpam-5788	1	7	mathematics	mathematic	NOUN
ejpam-5788	1	8	2025	2025	NUM
ejpam-5788	1	9	,	,	PUNCT
ejpam-5788	1	10	vol	vol	NOUN
ejpam-5788	1	11	.	.	PROPN
ejpam-5788	1	12	18	18	NUM
ejpam-5788	1	13	,	,	PUNCT
ejpam-5788	1	14	issue	issue	NOUN
ejpam-5788	1	15	2	2	NUM
ejpam-5788	1	16	,	,	PUNCT
ejpam-5788	1	17	article	article	NOUN
ejpam-5788	1	18	number	number	NOUN
ejpam-5788	1	19	5788	5788	NUM
ejpam-5788	1	20	issn	issn	VERB
ejpam-5788	1	21	1307	1307	NUM
ejpam-5788	1	22	-	-	SYM
ejpam-5788	1	23	5543	5543	NUM
ejpam-5788	1	24	–	–	PUNCT
ejpam-5788	1	25	ejpam.com	ejpam.com	X
ejpam-5788	1	26	published	publish	VERB
ejpam-5788	1	27	by	by	ADP
ejpam-5788	1	28	new	new	PROPN
ejpam-5788	1	29	york	york	PROPN
ejpam-5788	1	30	business	business	PROPN
ejpam-5788	1	31	global	global	PROPN
ejpam-5788	1	32	parametric	parametric	PROPN
ejpam-5788	1	33	estimation	estimation	NOUN
ejpam-5788	1	34	for	for	ADP
ejpam-5788	1	35	a	a	DET
ejpam-5788	1	36	new	new	ADJ
ejpam-5788	1	37	pareto	pareto	VERB
ejpam-5788	1	38	-	-	PUNCT
ejpam-5788	1	39	type	type	NOUN
ejpam-5788	1	40	model	model	NOUN
ejpam-5788	1	41	based	base	VERB
ejpam-5788	1	42	on	on	ADP
ejpam-5788	1	43	constant	constant	ADJ
ejpam-5788	1	44	-	-	PUNCT
ejpam-5788	1	45	stress	stress	NOUN
ejpam-5788	1	46	partially	partially	ADV
ejpam-5788	1	47	accelerated	accelerate	VERB
ejpam-5788	1	48	censoring	censor	VERB
ejpam-5788	1	49	data	datum	NOUN
ejpam-5788	1	50	ahmed	ahmed	PROPN
ejpam-5788	1	51	a.	a.	PROPN
ejpam-5788	1	52	soliman1	soliman1	PROPN
ejpam-5788	1	53	,	,	PUNCT
ejpam-5788	1	54	gamal	gamal	PROPN
ejpam-5788	1	55	a.	a.	PROPN
ejpam-5788	1	56	abd	abd	PROPN
ejpam-5788	1	57	-	-	PUNCT
ejpam-5788	1	58	elmougod2	elmougod2	PROPN
ejpam-5788	1	59	,	,	PUNCT
ejpam-5788	1	60	osama	osama	NOUN
ejpam-5788	1	61	m.	m.	NOUN
ejpam-5788	1	62	taha1,∗	taha1,∗	NOUN
ejpam-5788	1	63	,	,	PUNCT
ejpam-5788	1	64	al	al	PROPN
ejpam-5788	1	65	-	-	PUNCT
ejpam-5788	1	66	wageh	wageh	NOUN
ejpam-5788	1	67	a.	a.	NOUN
ejpam-5788	1	68	farghal1	farghal1	NOUN
ejpam-5788	1	69	1	1	NUM
ejpam-5788	1	70	department	department	NOUN
ejpam-5788	1	71	of	of	ADP
ejpam-5788	1	72	mathematics	mathematic	NOUN
ejpam-5788	1	73	,	,	PUNCT
ejpam-5788	1	74	faculty	faculty	NOUN
ejpam-5788	1	75	of	of	ADP
ejpam-5788	1	76	science	science	NOUN
ejpam-5788	1	77	,	,	PUNCT
ejpam-5788	1	78	sohag	sohag	NOUN
ejpam-5788	1	79	university	university	NOUN
ejpam-5788	1	80	,	,	PUNCT
ejpam-5788	1	81	sohag	sohag	NOUN
ejpam-5788	1	82	82524	82524	NUM
ejpam-5788	1	83	,	,	PUNCT
ejpam-5788	1	84	egypt	egypt	PROPN
ejpam-5788	1	85	2	2	NUM
ejpam-5788	1	86	department	department	NOUN
ejpam-5788	1	87	of	of	ADP
ejpam-5788	1	88	mathematics	mathematic	NOUN
ejpam-5788	1	89	and	and	CCONJ
ejpam-5788	1	90	computer	computer	NOUN
ejpam-5788	1	91	science	science	NOUN
ejpam-5788	1	92	,	,	PUNCT
ejpam-5788	1	93	faculty	faculty	NOUN
ejpam-5788	1	94	of	of	ADP
ejpam-5788	1	95	science	science	NOUN
ejpam-5788	1	96	,	,	PUNCT
ejpam-5788	1	97	damanhour	damanhour	NOUN
ejpam-5788	1	98	university	university	NOUN
ejpam-5788	1	99	,	,	PUNCT
ejpam-5788	1	100	damanhour	damanhour	NOUN
ejpam-5788	1	101	,	,	PUNCT
ejpam-5788	1	102	egypt	egypt	PROPN
ejpam-5788	1	103	abstract	abstract	NOUN
ejpam-5788	1	104	.	.	PUNCT
ejpam-5788	2	1	in	in	ADP
ejpam-5788	2	2	low	low	ADJ
ejpam-5788	2	3	failure	failure	NOUN
ejpam-5788	2	4	or	or	CCONJ
ejpam-5788	2	5	high	high	ADJ
ejpam-5788	2	6	longevity	longevity	NOUN
ejpam-5788	2	7	,	,	PUNCT
ejpam-5788	2	8	accelerated	accelerate	VERB
ejpam-5788	2	9	life	life	NOUN
ejpam-5788	2	10	tests	test	NOUN
ejpam-5788	2	11	(	(	PUNCT
ejpam-5788	2	12	alts	alt	NOUN
ejpam-5788	2	13	)	)	PUNCT
ejpam-5788	2	14	are	be	AUX
ejpam-5788	2	15	used	use	VERB
ejpam-5788	2	16	to	to	PART
ejpam-5788	2	17	speed	speed	VERB
ejpam-5788	2	18	up	up	ADP
ejpam-5788	2	19	tests	test	NOUN
ejpam-5788	2	20	.	.	PUNCT
ejpam-5788	3	1	this	this	DET
ejpam-5788	3	2	paper	paper	NOUN
ejpam-5788	3	3	investigates	investigate	VERB
ejpam-5788	3	4	precise	precise	ADJ
ejpam-5788	3	5	estimation	estimation	NOUN
ejpam-5788	3	6	issues	issue	NOUN
ejpam-5788	3	7	related	relate	VERB
ejpam-5788	3	8	to	to	PART
ejpam-5788	3	9	point	point	NOUN
ejpam-5788	3	10	and	and	CCONJ
ejpam-5788	3	11	interval	interval	NOUN
ejpam-5788	3	12	estimations	estimation	NOUN
ejpam-5788	3	13	for	for	ADP
ejpam-5788	3	14	a	a	DET
ejpam-5788	3	15	new	new	ADJ
ejpam-5788	3	16	pareto	pareto	NOUN
ejpam-5788	3	17	-	-	PUNCT
ejpam-5788	3	18	type	type	NOUN
ejpam-5788	3	19	(	(	PUNCT
ejpam-5788	3	20	npt	npt	NOUN
ejpam-5788	3	21	)	)	PUNCT
ejpam-5788	3	22	distribution	distribution	NOUN
ejpam-5788	3	23	.	.	PUNCT
ejpam-5788	4	1	the	the	DET
ejpam-5788	4	2	data	datum	NOUN
ejpam-5788	4	3	are	be	AUX
ejpam-5788	4	4	collected	collect	VERB
ejpam-5788	4	5	under	under	ADP
ejpam-5788	4	6	constant	constant	ADJ
ejpam-5788	4	7	stress	stress	NOUN
ejpam-5788	4	8	partially	partially	ADV
ejpam-5788	4	9	(	(	PUNCT
ejpam-5788	4	10	alts	alt	NOUN
ejpam-5788	4	11	)	)	PUNCT
ejpam-5788	4	12	concerning	concern	VERB
ejpam-5788	4	13	type	type	NOUN
ejpam-5788	4	14	-	-	PUNCT
ejpam-5788	4	15	i	i	PRON
ejpam-5788	4	16	generalized	generalize	VERB
ejpam-5788	4	17	hybrid	hybrid	ADJ
ejpam-5788	4	18	censored	censored	ADJ
ejpam-5788	4	19	samples	sample	NOUN
ejpam-5788	4	20	(	(	PUNCT
ejpam-5788	4	21	type	type	NOUN
ejpam-5788	4	22	-	-	PUNCT
ejpam-5788	4	23	i	i	PRON
ejpam-5788	4	24	ghcs	ghcs	VERB
ejpam-5788	4	25	)	)	PUNCT
ejpam-5788	4	26	.	.	PUNCT
ejpam-5788	5	1	the	the	DET
ejpam-5788	5	2	point	point	NOUN
ejpam-5788	5	3	maximum	maximum	ADJ
ejpam-5788	5	4	likelihood	likelihood	NOUN
ejpam-5788	5	5	estimates	estimate	NOUN
ejpam-5788	5	6	(	(	PUNCT
ejpam-5788	5	7	mles	mle	NOUN
ejpam-5788	5	8	)	)	PUNCT
ejpam-5788	5	9	of	of	ADP
ejpam-5788	5	10	the	the	DET
ejpam-5788	5	11	model	model	NOUN
ejpam-5788	5	12	parameters	parameter	NOUN
ejpam-5788	5	13	and	and	CCONJ
ejpam-5788	5	14	accelerated	accelerate	VERB
ejpam-5788	5	15	factor	factor	NOUN
ejpam-5788	5	16	are	be	AUX
ejpam-5788	5	17	obtained	obtain	VERB
ejpam-5788	5	18	with	with	ADP
ejpam-5788	5	19	the	the	DET
ejpam-5788	5	20	help	help	NOUN
ejpam-5788	5	21	of	of	ADP
ejpam-5788	5	22	the	the	DET
ejpam-5788	5	23	expectation	expectation	NOUN
ejpam-5788	5	24	–	–	PUNCT
ejpam-5788	5	25	maximization	maximization	NOUN
ejpam-5788	5	26	(	(	PUNCT
ejpam-5788	5	27	em	em	PRON
ejpam-5788	5	28	)	)	PUNCT
ejpam-5788	5	29	algorithm	algorithm	NOUN
ejpam-5788	5	30	.	.	PUNCT
ejpam-5788	6	1	also	also	ADV
ejpam-5788	6	2	,	,	PUNCT
ejpam-5788	6	3	bayes	bayes	PROPN
ejpam-5788	6	4	estimates	estimate	VERB
ejpam-5788	6	5	under	under	ADP
ejpam-5788	6	6	various	various	ADJ
ejpam-5788	6	7	loss	loss	NOUN
ejpam-5788	6	8	functions	function	NOUN
ejpam-5788	6	9	with	with	ADP
ejpam-5788	6	10	the	the	DET
ejpam-5788	6	11	help	help	NOUN
ejpam-5788	6	12	of	of	ADP
ejpam-5788	6	13	the	the	DET
ejpam-5788	6	14	metropolis	metropolis	PROPN
ejpam-5788	6	15	-	-	PUNCT
ejpam-5788	6	16	hastings	hastings	PROPN
ejpam-5788	6	17	(	(	PUNCT
ejpam-5788	6	18	mh	mh	PROPN
ejpam-5788	6	19	)	)	PUNCT
ejpam-5788	6	20	algorithm	algorithm	NOUN
ejpam-5788	6	21	method	method	NOUN
ejpam-5788	6	22	are	be	AUX
ejpam-5788	6	23	constructed	construct	VERB
ejpam-5788	6	24	.	.	PUNCT
ejpam-5788	7	1	the	the	DET
ejpam-5788	7	2	asymptotic	asymptotic	ADJ
ejpam-5788	7	3	confidence	confidence	NOUN
ejpam-5788	7	4	intervals	interval	NOUN
ejpam-5788	7	5	,	,	PUNCT
ejpam-5788	7	6	bootstrap	bootstrap	NOUN
ejpam-5788	7	7	confidence	confidence	NOUN
ejpam-5788	7	8	interval	interval	NOUN
ejpam-5788	7	9	,	,	PUNCT
ejpam-5788	7	10	and	and	CCONJ
ejpam-5788	7	11	highest	high	ADJ
ejpam-5788	7	12	posterior	posterior	ADJ
ejpam-5788	7	13	density	density	NOUN
ejpam-5788	7	14	(	(	PUNCT
ejpam-5788	7	15	hpd	hpd	NOUN
ejpam-5788	7	16	)	)	PUNCT
ejpam-5788	7	17	credible	credible	ADJ
ejpam-5788	7	18	intervals	interval	NOUN
ejpam-5788	7	19	are	be	AUX
ejpam-5788	7	20	derived	derive	VERB
ejpam-5788	7	21	.	.	PUNCT
ejpam-5788	8	1	the	the	DET
ejpam-5788	8	2	performance	performance	NOUN
ejpam-5788	8	3	of	of	ADP
ejpam-5788	8	4	different	different	ADJ
ejpam-5788	8	5	estimators	estimator	NOUN
ejpam-5788	8	6	is	be	AUX
ejpam-5788	8	7	compared	compare	VERB
ejpam-5788	8	8	with	with	ADP
ejpam-5788	8	9	the	the	DET
ejpam-5788	8	10	help	help	NOUN
ejpam-5788	8	11	of	of	ADP
ejpam-5788	8	12	a	a	DET
ejpam-5788	8	13	monte	monte	PROPN
ejpam-5788	8	14	carlo	carlo	PROPN
ejpam-5788	8	15	simulation	simulation	PROPN
ejpam-5788	8	16	study	study	PROPN
ejpam-5788	8	17	.	.	PUNCT
ejpam-5788	9	1	finally	finally	ADV
ejpam-5788	9	2	,	,	PUNCT
ejpam-5788	9	3	we	we	PRON
ejpam-5788	9	4	analyze	analyze	VERB
ejpam-5788	9	5	a	a	DET
ejpam-5788	9	6	real	real	ADJ
ejpam-5788	9	7	data	datum	NOUN
ejpam-5788	9	8	set	set	VERB
ejpam-5788	9	9	to	to	PART
ejpam-5788	9	10	show	show	VERB
ejpam-5788	9	11	the	the	DET
ejpam-5788	9	12	applicability	applicability	NOUN
ejpam-5788	9	13	of	of	ADP
ejpam-5788	9	14	the	the	DET
ejpam-5788	9	15	model	model	NOUN
ejpam-5788	9	16	considered	consider	VERB
ejpam-5788	9	17	.	.	PUNCT
ejpam-5788	10	1	2020	2020	NUM
ejpam-5788	10	2	mathematics	mathematic	NOUN
ejpam-5788	10	3	subject	subject	NOUN
ejpam-5788	10	4	classifications	classification	NOUN
ejpam-5788	10	5	:	:	PUNCT
ejpam-5788	10	6	62f10	62f10	NUM
ejpam-5788	10	7	,	,	PUNCT
ejpam-5788	10	8	62f12	62f12	NUM
ejpam-5788	10	9	,	,	PUNCT
ejpam-5788	10	10	62f15	62f15	NUM
ejpam-5788	10	11	,	,	PUNCT
ejpam-5788	10	12	62f40	62f40	NUM
ejpam-5788	10	13	,	,	PUNCT
ejpam-5788	10	14	62n02	62n02	NOUN
ejpam-5788	10	15	key	key	ADJ
ejpam-5788	10	16	words	word	NOUN
ejpam-5788	10	17	and	and	CCONJ
ejpam-5788	10	18	phrases	phrase	NOUN
ejpam-5788	10	19	:	:	PUNCT
ejpam-5788	10	20	a	a	DET
ejpam-5788	10	21	new	new	ADJ
ejpam-5788	10	22	pareto	pareto	VERB
ejpam-5788	10	23	-	-	PUNCT
ejpam-5788	10	24	type	type	NOUN
ejpam-5788	10	25	distribution	distribution	NOUN
ejpam-5788	10	26	,	,	PUNCT
ejpam-5788	10	27	accelerated	accelerate	VERB
ejpam-5788	10	28	life	life	NOUN
ejpam-5788	10	29	tests	test	NOUN
ejpam-5788	10	30	model	model	NOUN
ejpam-5788	10	31	,	,	PUNCT
ejpam-5788	10	32	type	type	NOUN
ejpam-5788	10	33	-	-	PUNCT
ejpam-5788	10	34	i	i	PRON
ejpam-5788	10	35	generalized	generalize	VERB
ejpam-5788	10	36	hybrid	hybrid	ADJ
ejpam-5788	10	37	censoring	censor	VERB
ejpam-5788	10	38	scheme	scheme	NOUN
ejpam-5788	10	39	,	,	PUNCT
ejpam-5788	10	40	em	em	PRON
ejpam-5788	10	41	algorithm	algorithm	NOUN
ejpam-5788	10	42	,	,	PUNCT
ejpam-5788	10	43	maximum	maximum	ADJ
ejpam-5788	10	44	likelihood	likelihood	NOUN
ejpam-5788	10	45	estimation	estimation	NOUN
ejpam-5788	10	46	,	,	PUNCT
ejpam-5788	10	47	bayesian	bayesian	NOUN
ejpam-5788	10	48	estimation	estimation	NOUN
ejpam-5788	10	49	1	1	NUM
ejpam-5788	10	50	.	.	PUNCT
ejpam-5788	11	1	introduction	introduction	NOUN
ejpam-5788	11	2	there	there	PRON
ejpam-5788	11	3	are	be	VERB
ejpam-5788	11	4	many	many	ADJ
ejpam-5788	11	5	real	real	ADJ
ejpam-5788	11	6	-	-	PUNCT
ejpam-5788	11	7	life	life	NOUN
ejpam-5788	11	8	scenarios	scenario	NOUN
ejpam-5788	11	9	where	where	SCONJ
ejpam-5788	11	10	data	datum	NOUN
ejpam-5788	11	11	demand	demand	VERB
ejpam-5788	11	12	a	a	DET
ejpam-5788	11	13	probability	probability	NOUN
ejpam-5788	11	14	distribution	distribution	NOUN
ejpam-5788	11	15	with	with	ADP
ejpam-5788	11	16	decreasing	decrease	VERB
ejpam-5788	11	17	and/or	and/or	CCONJ
ejpam-5788	11	18	upside	upside	ADV
ejpam-5788	11	19	down	down	ADV
ejpam-5788	11	20	bathtub	bathtub	PROPN
ejpam-5788	11	21	(	(	PUNCT
ejpam-5788	11	22	unimodal	unimodal	ADJ
ejpam-5788	11	23	)	)	PUNCT
ejpam-5788	11	24	shaped	shape	VERB
ejpam-5788	11	25	failure	failure	NOUN
ejpam-5788	11	26	rate	rate	NOUN
ejpam-5788	11	27	functions	function	NOUN
ejpam-5788	11	28	.	.	PUNCT
ejpam-5788	12	1	the	the	DET
ejpam-5788	12	2	probability	probability	NOUN
ejpam-5788	12	3	that	that	SCONJ
ejpam-5788	12	4	an	an	DET
ejpam-5788	12	5	event	event	NOUN
ejpam-5788	12	6	occurs	occur	VERB
ejpam-5788	12	7	at	at	ADP
ejpam-5788	12	8	a	a	DET
ejpam-5788	12	9	given	give	VERB
ejpam-5788	12	10	moment	moment	NOUN
ejpam-5788	12	11	,	,	PUNCT
ejpam-5788	12	12	given	give	VERB
ejpam-5788	12	13	that	that	SCONJ
ejpam-5788	12	14	it	it	PRON
ejpam-5788	12	15	has	have	AUX
ejpam-5788	12	16	not	not	PART
ejpam-5788	12	17	yet	yet	ADV
ejpam-5788	12	18	occurred	occur	VERB
ejpam-5788	12	19	,	,	PUNCT
ejpam-5788	12	20	decreases	decrease	VERB
ejpam-5788	12	21	over	over	ADP
ejpam-5788	12	22	time	time	NOUN
ejpam-5788	12	23	a	a	DET
ejpam-5788	12	24	phenomenon	phenomenon	NOUN
ejpam-5788	12	25	known	know	VERB
ejpam-5788	12	26	as	as	ADP
ejpam-5788	12	27	a	a	DET
ejpam-5788	12	28	decreasing	decrease	VERB
ejpam-5788	12	29	failure	failure	NOUN
ejpam-5788	12	30	rate	rate	NOUN
ejpam-5788	12	31	.	.	PUNCT
ejpam-5788	13	1	patients	patient	NOUN
ejpam-5788	13	2	undergoing	undergo	VERB
ejpam-5788	13	3	∗corresponding	∗corresponde	VERB
ejpam-5788	13	4	author	author	NOUN
ejpam-5788	13	5	.	.	PUNCT
ejpam-5788	14	1	doi	doi	NOUN
ejpam-5788	14	2	:	:	PUNCT
ejpam-5788	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5788	https://doi.org/10.29020/nybg.ejpam.v18i2.5788	NUM
ejpam-5788	14	4	email	email	NOUN
ejpam-5788	14	5	addresses	address	VERB
ejpam-5788	14	6	:	:	PUNCT
ejpam-5788	14	7	a	a	DET
ejpam-5788	14	8	a	a	DET
ejpam-5788	14	9	sol@hotmail.com	sol@hotmail.com	NOUN
ejpam-5788	14	10	(	(	PUNCT
ejpam-5788	14	11	a.	a.	NOUN
ejpam-5788	14	12	a.	a.	PROPN
ejpam-5788	14	13	soliman	soliman	PROPN
ejpam-5788	14	14	)	)	PUNCT
ejpam-5788	14	15	,	,	PUNCT
ejpam-5788	14	16	gam	gam	X
ejpam-5788	14	17	amin@yahoo.com	amin@yahoo.com	PUNCT
ejpam-5788	15	1	(	(	PUNCT
ejpam-5788	15	2	g.	g.	PROPN
ejpam-5788	15	3	a.	a.	PROPN
ejpam-5788	15	4	abd	abd	PROPN
ejpam-5788	15	5	-	-	PUNCT
ejpam-5788	15	6	elmougod	elmougod	PROPN
ejpam-5788	15	7	)	)	PUNCT
ejpam-5788	15	8	,	,	PUNCT
ejpam-5788	15	9	osama.taha@science.sohag.edu.eg	osama.taha@science.sohag.edu.eg	PROPN
ejpam-5788	15	10	(	(	PUNCT
ejpam-5788	15	11	o.	o.	PROPN
ejpam-5788	15	12	m.	m.	PROPN
ejpam-5788	15	13	taha	taha	PROPN
ejpam-5788	15	14	)	)	PUNCT
ejpam-5788	15	15	,	,	PUNCT
ejpam-5788	15	16	alwageh	alwageh	NOUN
ejpam-5788	15	17	ahmed@science.sohag.edu.eg	ahmed@science.sohag.edu.eg	NOUN
ejpam-5788	15	18	(	(	PUNCT
ejpam-5788	15	19	al	al	PROPN
ejpam-5788	15	20	-	-	PUNCT
ejpam-5788	15	21	wageh	wageh	NOUN
ejpam-5788	15	22	a.	a.	NOUN
ejpam-5788	15	23	farghal	farghal	PROPN
ejpam-5788	15	24	)	)	PUNCT
ejpam-5788	15	25	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5788	16	1	1	1	NUM
ejpam-5788	17	1	copyright	copyright	NOUN
ejpam-5788	17	2	:	:	PUNCT
ejpam-5788	17	3	©	©	PROPN
ejpam-5788	17	4	2025	2025	NUM
ejpam-5788	17	5	the	the	DET
ejpam-5788	17	6	author(s	author(s	NOUN
ejpam-5788	17	7	)	)	PUNCT
ejpam-5788	17	8	.	.	PUNCT
ejpam-5788	18	1	(	(	PUNCT
ejpam-5788	18	2	cc	cc	NOUN
ejpam-5788	18	3	by	by	ADP
ejpam-5788	18	4	-	-	PUNCT
ejpam-5788	18	5	nc	nc	PROPN
ejpam-5788	18	6	4.0	4.0	NUM
ejpam-5788	18	7	)	)	PUNCT
ejpam-5788	18	8	a.	a.	NOUN
ejpam-5788	18	9	a.	a.	PROPN
ejpam-5788	18	10	soliman	soliman	PROPN
ejpam-5788	18	11	et	et	PROPN
ejpam-5788	18	12	al	al	PROPN
ejpam-5788	18	13	.	.	PUNCT
ejpam-5788	18	14	/	/	SYM
ejpam-5788	18	15	eur	eur	PROPN
ejpam-5788	18	16	.	.	PUNCT
ejpam-5788	19	1	j.	j.	PROPN
ejpam-5788	19	2	pure	pure	PROPN
ejpam-5788	19	3	appl	appl	PROPN
ejpam-5788	19	4	.	.	PROPN
ejpam-5788	19	5	math	math	PROPN
ejpam-5788	19	6	,	,	PUNCT
ejpam-5788	19	7	18	18	NUM
ejpam-5788	19	8	(	(	PUNCT
ejpam-5788	19	9	2	2	NUM
ejpam-5788	19	10	)	)	PUNCT
ejpam-5788	19	11	(	(	PUNCT
ejpam-5788	19	12	2025	2025	NUM
ejpam-5788	19	13	)	)	PUNCT
ejpam-5788	19	14	,	,	PUNCT
ejpam-5788	19	15	5788	5788	NUM
ejpam-5788	19	16	2	2	NUM
ejpam-5788	19	17	of	of	ADP
ejpam-5788	19	18	34	34	NUM
ejpam-5788	19	19	heart	heart	NOUN
ejpam-5788	19	20	transplants	transplant	NOUN
ejpam-5788	19	21	,	,	PUNCT
ejpam-5788	19	22	for	for	ADP
ejpam-5788	19	23	example	example	NOUN
ejpam-5788	19	24	,	,	PUNCT
ejpam-5788	19	25	face	face	VERB
ejpam-5788	19	26	an	an	DET
ejpam-5788	19	27	increasing	increase	VERB
ejpam-5788	19	28	hazard	hazard	NOUN
ejpam-5788	19	29	of	of	ADP
ejpam-5788	19	30	death	death	NOUN
ejpam-5788	19	31	in	in	ADP
ejpam-5788	19	32	the	the	DET
ejpam-5788	19	33	first	first	ADJ
ejpam-5788	19	34	few	few	ADJ
ejpam-5788	19	35	days	day	NOUN
ejpam-5788	19	36	after	after	ADP
ejpam-5788	19	37	the	the	DET
ejpam-5788	19	38	transplant	transplant	NOUN
ejpam-5788	19	39	while	while	SCONJ
ejpam-5788	19	40	the	the	DET
ejpam-5788	19	41	body	body	NOUN
ejpam-5788	19	42	adjusts	adjust	VERB
ejpam-5788	19	43	to	to	ADP
ejpam-5788	19	44	the	the	DET
ejpam-5788	19	45	new	new	ADJ
ejpam-5788	19	46	organ	organ	NOUN
ejpam-5788	19	47	.	.	PUNCT
ejpam-5788	20	1	as	as	SCONJ
ejpam-5788	20	2	the	the	DET
ejpam-5788	20	3	patient	patient	NOUN
ejpam-5788	20	4	improves	improve	VERB
ejpam-5788	20	5	,	,	PUNCT
ejpam-5788	20	6	the	the	DET
ejpam-5788	20	7	hazard	hazard	NOUN
ejpam-5788	20	8	rate	rate	NOUN
ejpam-5788	20	9	reduces	reduce	VERB
ejpam-5788	20	10	ref.[1	ref.[1	NOUN
ejpam-5788	20	11	]	]	PUNCT
ejpam-5788	20	12	.	.	PUNCT
ejpam-5788	21	1	the	the	DET
ejpam-5788	21	2	upside	upside	ADV
ejpam-5788	21	3	-	-	PUNCT
ejpam-5788	21	4	bathtub	bathtub	NOUN
ejpam-5788	21	5	-	-	PUNCT
ejpam-5788	21	6	shaped	shape	VERB
ejpam-5788	21	7	failure	failure	NOUN
ejpam-5788	21	8	rate	rate	NOUN
ejpam-5788	21	9	function	function	NOUN
ejpam-5788	21	10	would	would	AUX
ejpam-5788	21	11	be	be	AUX
ejpam-5788	21	12	appropriate	appropriate	ADJ
ejpam-5788	21	13	in	in	ADP
ejpam-5788	21	14	this	this	DET
ejpam-5788	21	15	case	case	NOUN
ejpam-5788	21	16	.	.	PUNCT
ejpam-5788	22	1	to	to	PART
ejpam-5788	22	2	represent	represent	VERB
ejpam-5788	22	3	a	a	DET
ejpam-5788	22	4	model	model	NOUN
ejpam-5788	22	5	of	of	ADP
ejpam-5788	22	6	failure	failure	NOUN
ejpam-5788	22	7	rate	rate	NOUN
ejpam-5788	22	8	with	with	ADP
ejpam-5788	22	9	a	a	DET
ejpam-5788	22	10	relatively	relatively	ADV
ejpam-5788	22	11	high	high	ADJ
ejpam-5788	22	12	rate	rate	NOUN
ejpam-5788	22	13	of	of	ADP
ejpam-5788	22	14	failure	failure	NOUN
ejpam-5788	22	15	in	in	ADP
ejpam-5788	22	16	the	the	DET
ejpam-5788	22	17	middle	middle	NOUN
ejpam-5788	22	18	of	of	ADP
ejpam-5788	22	19	the	the	DET
ejpam-5788	22	20	predicted	predict	VERB
ejpam-5788	22	21	lifetime	lifetime	NOUN
ejpam-5788	22	22	,	,	PUNCT
ejpam-5788	22	23	an	an	DET
ejpam-5788	22	24	unimodal	unimodal	ADJ
ejpam-5788	22	25	hazard	hazard	NOUN
ejpam-5788	22	26	rate	rate	NOUN
ejpam-5788	22	27	function	function	NOUN
ejpam-5788	22	28	is	be	AUX
ejpam-5788	22	29	used	use	VERB
ejpam-5788	22	30	.	.	PUNCT
ejpam-5788	23	1	when	when	SCONJ
ejpam-5788	23	2	product	product	NOUN
ejpam-5788	23	3	failures	failure	NOUN
ejpam-5788	23	4	are	be	AUX
ejpam-5788	23	5	driven	drive	VERB
ejpam-5788	23	6	by	by	ADP
ejpam-5788	23	7	fatigue	fatigue	NOUN
ejpam-5788	23	8	and	and	CCONJ
ejpam-5788	23	9	corrosion	corrosion	NOUN
ejpam-5788	23	10	,	,	PUNCT
ejpam-5788	23	11	the	the	DET
ejpam-5788	23	12	related	relate	VERB
ejpam-5788	23	13	failure	failure	NOUN
ejpam-5788	23	14	rates	rate	NOUN
ejpam-5788	23	15	have	have	VERB
ejpam-5788	23	16	unimodal	unimodal	ADJ
ejpam-5788	23	17	forms	form	NOUN
ejpam-5788	23	18	ref.[2	ref.[2	NOUN
ejpam-5788	23	19	]	]	X
ejpam-5788	23	20	.	.	PUNCT
ejpam-5788	24	1	in	in	ADP
ejpam-5788	24	2	addition	addition	NOUN
ejpam-5788	24	3	,	,	PUNCT
ejpam-5788	24	4	in	in	ADP
ejpam-5788	24	5	some	some	DET
ejpam-5788	24	6	medical	medical	ADJ
ejpam-5788	24	7	scenarios	scenario	NOUN
ejpam-5788	24	8	,	,	PUNCT
ejpam-5788	24	9	such	such	ADJ
ejpam-5788	24	10	as	as	ADP
ejpam-5788	24	11	breast	breast	NOUN
ejpam-5788	24	12	cancer	cancer	NOUN
ejpam-5788	24	13	and	and	CCONJ
ejpam-5788	24	14	infection	infection	NOUN
ejpam-5788	24	15	with	with	ADP
ejpam-5788	24	16	novel	novel	ADJ
ejpam-5788	24	17	viruses	virus	NOUN
ejpam-5788	24	18	,	,	PUNCT
ejpam-5788	24	19	the	the	DET
ejpam-5788	24	20	hazard	hazard	NOUN
ejpam-5788	24	21	rate	rate	NOUN
ejpam-5788	24	22	is	be	AUX
ejpam-5788	24	23	unimodal	unimodal	ADJ
ejpam-5788	24	24	,	,	PUNCT
ejpam-5788	24	25	as	as	SCONJ
ejpam-5788	24	26	demonstrated	demonstrate	VERB
ejpam-5788	24	27	by	by	ADP
ejpam-5788	24	28	ref.[3	ref.[3	NOUN
ejpam-5788	24	29	]	]	PUNCT
ejpam-5788	24	30	and	and	CCONJ
ejpam-5788	24	31	ref.[4	ref.[4	NOUN
ejpam-5788	24	32	]	]	X
ejpam-5788	24	33	.	.	PUNCT
ejpam-5788	25	1	the	the	DET
ejpam-5788	25	2	npt	npt	PROPN
ejpam-5788	25	3	distribution	distribution	NOUN
ejpam-5788	25	4	exhibits	exhibit	VERB
ejpam-5788	25	5	both	both	PRON
ejpam-5788	25	6	a	a	DET
ejpam-5788	25	7	decreasing	decreasing	NOUN
ejpam-5788	25	8	and	and	CCONJ
ejpam-5788	25	9	an	an	DET
ejpam-5788	25	10	upside	upside	ADV
ejpam-5788	25	11	-	-	PUNCT
ejpam-5788	25	12	down	down	NOUN
ejpam-5788	25	13	bathtub	bathtub	NOUN
ejpam-5788	25	14	(	(	PUNCT
ejpam-5788	25	15	unimodal	unimodal	ADJ
ejpam-5788	25	16	)	)	PUNCT
ejpam-5788	25	17	shaped	shape	VERB
ejpam-5788	25	18	failure	failure	NOUN
ejpam-5788	25	19	rate	rate	NOUN
ejpam-5788	25	20	function	function	NOUN
ejpam-5788	25	21	ref.[5	ref.[5	NOUN
ejpam-5788	25	22	]	]	PUNCT
ejpam-5788	25	23	.	.	PUNCT
ejpam-5788	26	1	npt	npt	PROPN
ejpam-5788	26	2	distribution	distribution	NOUN
ejpam-5788	26	3	is	be	AUX
ejpam-5788	26	4	considered	consider	VERB
ejpam-5788	26	5	a	a	DET
ejpam-5788	26	6	generalization	generalization	NOUN
ejpam-5788	26	7	of	of	ADP
ejpam-5788	26	8	the	the	DET
ejpam-5788	26	9	well	well	ADV
ejpam-5788	26	10	-	-	PUNCT
ejpam-5788	26	11	known	know	VERB
ejpam-5788	26	12	pareto	pareto	ADJ
ejpam-5788	26	13	distribution	distribution	NOUN
ejpam-5788	26	14	.	.	PUNCT
ejpam-5788	27	1	when	when	SCONJ
ejpam-5788	27	2	the	the	DET
ejpam-5788	27	3	”	"	PUNCT
ejpam-5788	27	4	probability	probability	NOUN
ejpam-5788	27	5	”	"	PUNCT
ejpam-5788	27	6	or	or	CCONJ
ejpam-5788	27	7	fraction	fraction	NOUN
ejpam-5788	27	8	of	of	ADP
ejpam-5788	27	9	the	the	DET
ejpam-5788	27	10	population	population	NOUN
ejpam-5788	27	11	that	that	PRON
ejpam-5788	27	12	owns	own	VERB
ejpam-5788	27	13	a	a	DET
ejpam-5788	27	14	small	small	ADJ
ejpam-5788	27	15	amount	amount	NOUN
ejpam-5788	27	16	of	of	ADP
ejpam-5788	27	17	wealth	wealth	NOUN
ejpam-5788	27	18	per	per	ADP
ejpam-5788	27	19	person	person	NOUN
ejpam-5788	27	20	is	be	AUX
ejpam-5788	27	21	relatively	relatively	ADV
ejpam-5788	27	22	high	high	ADJ
ejpam-5788	27	23	,	,	PUNCT
ejpam-5788	27	24	and	and	CCONJ
ejpam-5788	27	25	then	then	ADV
ejpam-5788	27	26	steadily	steadily	ADV
ejpam-5788	27	27	decreases	decrease	VERB
ejpam-5788	27	28	as	as	ADP
ejpam-5788	27	29	wealth	wealth	NOUN
ejpam-5788	27	30	increases	increase	NOUN
ejpam-5788	27	31	,	,	PUNCT
ejpam-5788	27	32	as	as	ADP
ejpam-5788	27	33	in	in	ADP
ejpam-5788	27	34	ref.[6	ref.[6	NOUN
ejpam-5788	27	35	]	]	PUNCT
ejpam-5788	27	36	,	,	PUNCT
ejpam-5788	27	37	experimenter	experimenter	NOUN
ejpam-5788	27	38	seeks	seek	VERB
ejpam-5788	27	39	a	a	DET
ejpam-5788	27	40	probability	probability	NOUN
ejpam-5788	27	41	distribution	distribution	NOUN
ejpam-5788	27	42	describing	describe	VERB
ejpam-5788	27	43	this	this	DET
ejpam-5788	27	44	case	case	NOUN
ejpam-5788	27	45	,	,	PUNCT
ejpam-5788	27	46	the	the	DET
ejpam-5788	27	47	npt	npt	PROPN
ejpam-5788	27	48	model	model	NOUN
ejpam-5788	27	49	is	be	AUX
ejpam-5788	27	50	an	an	DET
ejpam-5788	27	51	excellent	excellent	ADJ
ejpam-5788	27	52	alternative	alternative	NOUN
ejpam-5788	27	53	to	to	ADP
ejpam-5788	27	54	the	the	DET
ejpam-5788	27	55	most	most	ADV
ejpam-5788	27	56	common	common	ADJ
ejpam-5788	27	57	model	model	NOUN
ejpam-5788	27	58	pareto	pareto	ADJ
ejpam-5788	27	59	distribution	distribution	NOUN
ejpam-5788	27	60	.	.	PUNCT
ejpam-5788	28	1	because	because	SCONJ
ejpam-5788	28	2	it	it	PRON
ejpam-5788	28	3	is	be	AUX
ejpam-5788	28	4	used	use	VERB
ejpam-5788	28	5	to	to	PART
ejpam-5788	28	6	analyze	analyze	VERB
ejpam-5788	28	7	various	various	ADJ
ejpam-5788	28	8	income	income	NOUN
ejpam-5788	28	9	and	and	CCONJ
ejpam-5788	28	10	reliability	reliability	NOUN
ejpam-5788	28	11	data	datum	NOUN
ejpam-5788	28	12	,	,	PUNCT
ejpam-5788	28	13	this	this	DET
ejpam-5788	28	14	distribution	distribution	NOUN
ejpam-5788	28	15	might	might	AUX
ejpam-5788	28	16	be	be	AUX
ejpam-5788	28	17	a	a	DET
ejpam-5788	28	18	versatile	versatile	ADJ
ejpam-5788	28	19	model	model	NOUN
ejpam-5788	28	20	.	.	PUNCT
ejpam-5788	29	1	it	it	PRON
ejpam-5788	29	2	is	be	AUX
ejpam-5788	29	3	used	use	VERB
ejpam-5788	29	4	in	in	ADP
ejpam-5788	29	5	actuarial	actuarial	ADJ
ejpam-5788	29	6	sciences	science	NOUN
ejpam-5788	29	7	,	,	PUNCT
ejpam-5788	29	8	reliability	reliability	NOUN
ejpam-5788	29	9	,	,	PUNCT
ejpam-5788	29	10	finance	finance	NOUN
ejpam-5788	29	11	,	,	PUNCT
ejpam-5788	29	12	and	and	CCONJ
ejpam-5788	29	13	climatology	climatology	NOUN
ejpam-5788	29	14	to	to	PART
ejpam-5788	29	15	describe	describe	VERB
ejpam-5788	29	16	the	the	DET
ejpam-5788	29	17	occurrence	occurrence	NOUN
ejpam-5788	29	18	of	of	ADP
ejpam-5788	29	19	extreme	extreme	ADJ
ejpam-5788	29	20	weather	weather	NOUN
ejpam-5788	29	21	events	event	NOUN
ejpam-5788	29	22	.	.	PUNCT
ejpam-5788	30	1	in	in	ADP
ejpam-5788	30	2	light	light	NOUN
ejpam-5788	30	3	of	of	ADP
ejpam-5788	30	4	these	these	DET
ejpam-5788	30	5	characteristics	characteristic	NOUN
ejpam-5788	30	6	,	,	PUNCT
ejpam-5788	30	7	multiple	multiple	ADJ
ejpam-5788	30	8	authors	author	NOUN
ejpam-5788	30	9	adopted	adopt	VERB
ejpam-5788	30	10	this	this	DET
ejpam-5788	30	11	model	model	NOUN
ejpam-5788	30	12	in	in	ADP
ejpam-5788	30	13	data	datum	NOUN
ejpam-5788	30	14	modeling	modeling	NOUN
ejpam-5788	30	15	,	,	PUNCT
ejpam-5788	30	16	particularly	particularly	ADV
ejpam-5788	30	17	censored	censor	VERB
ejpam-5788	30	18	observations	observation	NOUN
ejpam-5788	30	19	.	.	PUNCT
ejpam-5788	31	1	as	as	ADP
ejpam-5788	31	2	a	a	DET
ejpam-5788	31	3	result	result	NOUN
ejpam-5788	31	4	,	,	PUNCT
ejpam-5788	31	5	our	our	PRON
ejpam-5788	31	6	motivation	motivation	NOUN
ejpam-5788	31	7	to	to	PART
ejpam-5788	31	8	validate	validate	VERB
ejpam-5788	31	9	this	this	DET
ejpam-5788	31	10	distribution	distribution	NOUN
ejpam-5788	31	11	throughout	throughout	ADP
ejpam-5788	31	12	this	this	DET
ejpam-5788	31	13	article	article	NOUN
ejpam-5788	31	14	stems	stem	VERB
ejpam-5788	31	15	from	from	ADP
ejpam-5788	31	16	its	its	PRON
ejpam-5788	31	17	practical	practical	ADJ
ejpam-5788	31	18	usefulness	usefulness	NOUN
ejpam-5788	31	19	in	in	ADP
ejpam-5788	31	20	the	the	DET
ejpam-5788	31	21	various	various	ADJ
ejpam-5788	31	22	areas	area	NOUN
ejpam-5788	31	23	outlined	outline	VERB
ejpam-5788	31	24	above	above	ADV
ejpam-5788	31	25	,	,	PUNCT
ejpam-5788	31	26	as	as	ADV
ejpam-5788	31	27	well	well	ADV
ejpam-5788	31	28	as	as	ADP
ejpam-5788	31	29	the	the	DET
ejpam-5788	31	30	supporting	support	VERB
ejpam-5788	31	31	references	reference	NOUN
ejpam-5788	31	32	.	.	PUNCT
ejpam-5788	32	1	among	among	ADP
ejpam-5788	32	2	these	these	DET
ejpam-5788	32	3	references	reference	NOUN
ejpam-5788	32	4	,	,	PUNCT
ejpam-5788	32	5	[	[	X
ejpam-5788	32	6	7	7	X
ejpam-5788	32	7	]	]	PUNCT
ejpam-5788	32	8	proposed	propose	VERB
ejpam-5788	32	9	the	the	DET
ejpam-5788	32	10	comparisons	comparison	NOUN
ejpam-5788	32	11	methods	method	NOUN
ejpam-5788	32	12	of	of	ADP
ejpam-5788	32	13	estimation	estimation	NOUN
ejpam-5788	32	14	for	for	ADP
ejpam-5788	32	15	the	the	DET
ejpam-5788	32	16	model	model	NOUN
ejpam-5788	32	17	,	,	PUNCT
ejpam-5788	32	18	ref.[8	ref.[8	PROPN
ejpam-5788	32	19	]	]	PUNCT
ejpam-5788	32	20	studied	study	VERB
ejpam-5788	32	21	the	the	DET
ejpam-5788	32	22	ml	ml	NOUN
ejpam-5788	32	23	,	,	PUNCT
ejpam-5788	32	24	bayes	bayes	PROPN
ejpam-5788	32	25	estimation	estimation	NOUN
ejpam-5788	32	26	and	and	CCONJ
ejpam-5788	32	27	prediction	prediction	NOUN
ejpam-5788	32	28	of	of	ADP
ejpam-5788	32	29	the	the	DET
ejpam-5788	32	30	model	model	NOUN
ejpam-5788	32	31	under	under	ADP
ejpam-5788	32	32	progressive	progressive	ADJ
ejpam-5788	32	33	type	type	NOUN
ejpam-5788	32	34	-	-	PUNCT
ejpam-5788	32	35	ii	ii	NOUN
ejpam-5788	32	36	censoring	censoring	NOUN
ejpam-5788	32	37	.	.	PUNCT
ejpam-5788	33	1	also	also	ADV
ejpam-5788	33	2	,	,	PUNCT
ejpam-5788	33	3	ref.[9	ref.[9	NOUN
ejpam-5788	33	4	]	]	X
ejpam-5788	33	5	derived	derive	VERB
ejpam-5788	33	6	simpler	simple	ADJ
ejpam-5788	33	7	expressions	expression	NOUN
ejpam-5788	33	8	for	for	ADP
ejpam-5788	33	9	many	many	ADJ
ejpam-5788	33	10	relevant	relevant	ADJ
ejpam-5788	33	11	economic	economic	ADJ
ejpam-5788	33	12	inequality	inequality	NOUN
ejpam-5788	33	13	and	and	CCONJ
ejpam-5788	33	14	risk	risk	NOUN
ejpam-5788	33	15	indices	index	NOUN
ejpam-5788	33	16	using	use	VERB
ejpam-5788	33	17	the	the	DET
ejpam-5788	33	18	incomplete	incomplete	ADJ
ejpam-5788	33	19	beta	beta	NOUN
ejpam-5788	33	20	function	function	NOUN
ejpam-5788	33	21	,	,	PUNCT
ejpam-5788	33	22	ref.[10	ref.[10	NOUN
ejpam-5788	33	23	]	]	PUNCT
ejpam-5788	33	24	presented	present	VERB
ejpam-5788	33	25	a	a	DET
ejpam-5788	33	26	generalized	generalize	VERB
ejpam-5788	33	27	of	of	ADP
ejpam-5788	33	28	the	the	DET
ejpam-5788	33	29	npt	npt	PROPN
ejpam-5788	33	30	distribution	distribution	NOUN
ejpam-5788	33	31	.	.	PUNCT
ejpam-5788	34	1	recently	recently	ADV
ejpam-5788	34	2	,	,	PUNCT
ejpam-5788	34	3	ref.[11	ref.[11	NOUN
ejpam-5788	34	4	]	]	PUNCT
ejpam-5788	34	5	developed	develop	VERB
ejpam-5788	34	6	inference	inference	NOUN
ejpam-5788	34	7	based	base	VERB
ejpam-5788	34	8	on	on	ADP
ejpam-5788	34	9	npt	npt	PROPN
ejpam-5788	34	10	records	record	NOUN
ejpam-5788	34	11	with	with	ADP
ejpam-5788	34	12	applications	application	NOUN
ejpam-5788	34	13	to	to	ADP
ejpam-5788	34	14	precipitation	precipitation	NOUN
ejpam-5788	34	15	and	and	CCONJ
ejpam-5788	34	16	covid-19	covid-19	PROPN
ejpam-5788	34	17	data	datum	NOUN
ejpam-5788	34	18	.	.	PUNCT
ejpam-5788	35	1	the	the	DET
ejpam-5788	35	2	npt	npt	PROPN
ejpam-5788	35	3	distribution	distribution	NOUN
ejpam-5788	35	4	,	,	PUNCT
ejpam-5788	35	5	denoted	denote	VERB
ejpam-5788	35	6	by	by	ADP
ejpam-5788	35	7	npt(θ	npt(θ	PROPN
ejpam-5788	35	8	,	,	PUNCT
ejpam-5788	35	9	σ	σ	PROPN
ejpam-5788	35	10	)	)	PUNCT
ejpam-5788	35	11	is	be	AUX
ejpam-5788	35	12	specified	specify	VERB
ejpam-5788	35	13	by	by	ADP
ejpam-5788	35	14	the	the	DET
ejpam-5788	35	15	following	follow	VERB
ejpam-5788	35	16	probability	probability	NOUN
ejpam-5788	35	17	density	density	NOUN
ejpam-5788	35	18	function	function	NOUN
ejpam-5788	35	19	(	(	PUNCT
ejpam-5788	35	20	pdf	pdf	NOUN
ejpam-5788	35	21	)	)	PUNCT
ejpam-5788	35	22	,	,	PUNCT
ejpam-5788	35	23	cumulative	cumulative	ADJ
ejpam-5788	35	24	distribution	distribution	NOUN
ejpam-5788	35	25	function	function	NOUN
ejpam-5788	35	26	(	(	PUNCT
ejpam-5788	35	27	cdf	cdf	PROPN
ejpam-5788	35	28	)	)	PUNCT
ejpam-5788	35	29	,	,	PUNCT
ejpam-5788	35	30	survival	survival	NOUN
ejpam-5788	35	31	function	function	NOUN
ejpam-5788	35	32	(	(	PUNCT
ejpam-5788	35	33	sf	sf	NOUN
ejpam-5788	35	34	)	)	PUNCT
ejpam-5788	35	35	,	,	PUNCT
ejpam-5788	35	36	and	and	CCONJ
ejpam-5788	35	37	hazard	hazard	NOUN
ejpam-5788	35	38	rate	rate	NOUN
ejpam-5788	35	39	function	function	NOUN
ejpam-5788	35	40	(	(	PUNCT
ejpam-5788	35	41	hrf	hrf	NOUN
ejpam-5788	35	42	)	)	PUNCT
ejpam-5788	35	43	given	give	VERB
ejpam-5788	35	44	by	by	ADP
ejpam-5788	35	45	f(x	f(x	PROPN
ejpam-5788	35	46	)	)	PUNCT
ejpam-5788	35	47	=	=	SYM
ejpam-5788	36	1	2θσθxθ−1	2θσθxθ−1	NUM
ejpam-5788	36	2	(	(	PUNCT
ejpam-5788	36	3	xθ	xθ	PROPN
ejpam-5788	36	4	+	+	CCONJ
ejpam-5788	36	5	σθ)2	σθ)2	PROPN
ejpam-5788	36	6	;	;	PUNCT
ejpam-5788	36	7	x	x	X
ejpam-5788	36	8	≥	≥	NUM
ejpam-5788	36	9	σ	σ	PROPN
ejpam-5788	36	10	,	,	PUNCT
ejpam-5788	36	11	θ	θ	PROPN
ejpam-5788	36	12	,	,	PUNCT
ejpam-5788	36	13	σ	σ	X
ejpam-5788	36	14	>	>	X
ejpam-5788	36	15	0	0	PUNCT
ejpam-5788	37	1	f	f	X
ejpam-5788	37	2	(	(	PUNCT
ejpam-5788	37	3	x	x	NOUN
ejpam-5788	37	4	)	)	PUNCT
ejpam-5788	37	5	=	=	SYM
ejpam-5788	38	1	1−	1−	NUM
ejpam-5788	38	2	2σθ	2σθ	NOUN
ejpam-5788	38	3	xθ	xθ	PUNCT
ejpam-5788	39	1	+	+	CCONJ
ejpam-5788	39	2	σθ	σθ	PRON
ejpam-5788	39	3	s(x	s(x	PROPN
ejpam-5788	39	4	)	)	PUNCT
ejpam-5788	40	1	=	=	PUNCT
ejpam-5788	41	1	2σθ	2σθ	NOUN
ejpam-5788	41	2	xθ	xθ	PROPN
ejpam-5788	42	1	+	+	CCONJ
ejpam-5788	42	2	σθ	σθ	PROPN
ejpam-5788	42	3	h(x	h(x	PROPN
ejpam-5788	42	4	)	)	PUNCT
ejpam-5788	42	5	=	=	PUNCT
ejpam-5788	43	1	θxθ−1	θxθ−1	PROPN
ejpam-5788	43	2	xθ	xθ	PROPN
ejpam-5788	44	1	+	+	CCONJ
ejpam-5788	44	2	σθ	σθ	INTJ
ejpam-5788	44	3	.	.	PUNCT
ejpam-5788	45	1	(	(	PUNCT
ejpam-5788	45	2	1	1	X
ejpam-5788	45	3	)	)	PUNCT
ejpam-5788	45	4	different	different	ADJ
ejpam-5788	45	5	potential	potential	ADJ
ejpam-5788	45	6	scenarios	scenario	NOUN
ejpam-5788	45	7	concerning	concern	VERB
ejpam-5788	45	8	the	the	DET
ejpam-5788	45	9	reliability	reliability	NOUN
ejpam-5788	45	10	and	and	CCONJ
ejpam-5788	45	11	quality	quality	NOUN
ejpam-5788	45	12	of	of	ADP
ejpam-5788	45	13	items	item	NOUN
ejpam-5788	45	14	face	face	VERB
ejpam-5788	45	15	the	the	DET
ejpam-5788	45	16	challenge	challenge	NOUN
ejpam-5788	45	17	of	of	ADP
ejpam-5788	45	18	lacking	lack	VERB
ejpam-5788	45	19	adequate	adequate	ADJ
ejpam-5788	45	20	knowledge	knowledge	NOUN
ejpam-5788	45	21	about	about	ADP
ejpam-5788	45	22	the	the	DET
ejpam-5788	45	23	failure	failure	NOUN
ejpam-5788	45	24	of	of	ADP
ejpam-5788	45	25	such	such	ADJ
ejpam-5788	45	26	products	product	NOUN
ejpam-5788	45	27	under	under	ADP
ejpam-5788	45	28	normal	normal	ADJ
ejpam-5788	45	29	operating	operating	NOUN
ejpam-5788	45	30	conditions	condition	NOUN
ejpam-5788	45	31	.	.	PUNCT
ejpam-5788	46	1	to	to	PART
ejpam-5788	46	2	address	address	VERB
ejpam-5788	46	3	this	this	PRON
ejpam-5788	46	4	,	,	PUNCT
ejpam-5788	46	5	experimenters	experimenter	NOUN
ejpam-5788	46	6	uses	uses	AUX
ejpam-5788	46	7	accelerated	accelerate	VERB
ejpam-5788	46	8	life	life	NOUN
ejpam-5788	46	9	testing	testing	NOUN
ejpam-5788	46	10	(	(	PUNCT
ejpam-5788	46	11	alt	alt	ADJ
ejpam-5788	46	12	)	)	PUNCT
ejpam-5788	46	13	or	or	CCONJ
ejpam-5788	46	14	partially	partially	ADV
ejpam-5788	46	15	accelerated	accelerate	VERB
ejpam-5788	46	16	life	life	NOUN
ejpam-5788	46	17	testing	testing	NOUN
ejpam-5788	46	18	(	(	PUNCT
ejpam-5788	46	19	palt	palt	NOUN
ejpam-5788	46	20	)	)	PUNCT
ejpam-5788	46	21	to	to	PART
ejpam-5788	46	22	quickly	quickly	ADV
ejpam-5788	46	23	gather	gather	VERB
ejpam-5788	46	24	sufficient	sufficient	ADJ
ejpam-5788	46	25	failure	failure	NOUN
ejpam-5788	46	26	data	datum	NOUN
ejpam-5788	46	27	and	and	CCONJ
ejpam-5788	46	28	a.	a.	NOUN
ejpam-5788	46	29	a.	a.	PROPN
ejpam-5788	46	30	soliman	soliman	PROPN
ejpam-5788	47	1	et	et	PROPN
ejpam-5788	47	2	al	al	PROPN
ejpam-5788	47	3	.	.	PUNCT
ejpam-5788	47	4	/	/	SYM
ejpam-5788	47	5	eur	eur	PROPN
ejpam-5788	47	6	.	.	PUNCT
ejpam-5788	48	1	j.	j.	PROPN
ejpam-5788	48	2	pure	pure	PROPN
ejpam-5788	48	3	appl	appl	PROPN
ejpam-5788	48	4	.	.	PROPN
ejpam-5788	48	5	math	math	PROPN
ejpam-5788	48	6	,	,	PUNCT
ejpam-5788	48	7	18	18	NUM
ejpam-5788	48	8	(	(	PUNCT
ejpam-5788	48	9	2	2	NUM
ejpam-5788	48	10	)	)	PUNCT
ejpam-5788	48	11	(	(	PUNCT
ejpam-5788	48	12	2025	2025	NUM
ejpam-5788	48	13	)	)	PUNCT
ejpam-5788	48	14	,	,	PUNCT
ejpam-5788	48	15	5788	5788	NUM
ejpam-5788	48	16	3	3	NUM
ejpam-5788	48	17	of	of	ADP
ejpam-5788	48	18	34	34	NUM
ejpam-5788	48	19	understand	understand	VERB
ejpam-5788	48	20	the	the	DET
ejpam-5788	48	21	relationship	relationship	NOUN
ejpam-5788	48	22	between	between	ADP
ejpam-5788	48	23	failures	failure	NOUN
ejpam-5788	48	24	and	and	CCONJ
ejpam-5788	48	25	external	external	ADJ
ejpam-5788	48	26	stress	stress	NOUN
ejpam-5788	48	27	factors	factor	NOUN
ejpam-5788	48	28	.	.	PUNCT
ejpam-5788	49	1	these	these	DET
ejpam-5788	49	2	tests	test	NOUN
ejpam-5788	49	3	can	can	AUX
ejpam-5788	49	4	significantly	significantly	ADV
ejpam-5788	49	5	save	save	VERB
ejpam-5788	49	6	time	time	NOUN
ejpam-5788	49	7	,	,	PUNCT
ejpam-5788	49	8	labor	labor	NOUN
ejpam-5788	49	9	,	,	PUNCT
ejpam-5788	49	10	resources	resource	NOUN
ejpam-5788	49	11	,	,	PUNCT
ejpam-5788	49	12	and	and	CCONJ
ejpam-5788	49	13	costs	cost	NOUN
ejpam-5788	49	14	.	.	PUNCT
ejpam-5788	50	1	in	in	ADP
ejpam-5788	50	2	alts	alt	NOUN
ejpam-5788	50	3	,	,	PUNCT
ejpam-5788	50	4	all	all	DET
ejpam-5788	50	5	units	unit	NOUN
ejpam-5788	50	6	are	be	AUX
ejpam-5788	50	7	subjected	subject	VERB
ejpam-5788	50	8	to	to	ADP
ejpam-5788	50	9	stress	stress	NOUN
ejpam-5788	50	10	levels	level	NOUN
ejpam-5788	50	11	higher	high	ADJ
ejpam-5788	50	12	than	than	ADP
ejpam-5788	50	13	usual	usual	ADJ
ejpam-5788	50	14	to	to	PART
ejpam-5788	50	15	induce	induce	VERB
ejpam-5788	50	16	failures	failure	NOUN
ejpam-5788	50	17	more	more	ADV
ejpam-5788	50	18	quickly	quickly	ADV
ejpam-5788	50	19	.	.	PUNCT
ejpam-5788	51	1	in	in	ADP
ejpam-5788	51	2	contrast	contrast	NOUN
ejpam-5788	51	3	,	,	PUNCT
ejpam-5788	51	4	palts	palt	NOUN
ejpam-5788	51	5	involve	involve	VERB
ejpam-5788	51	6	testing	test	VERB
ejpam-5788	51	7	units	unit	NOUN
ejpam-5788	51	8	under	under	ADP
ejpam-5788	51	9	both	both	CCONJ
ejpam-5788	51	10	normal	normal	ADJ
ejpam-5788	51	11	and	and	CCONJ
ejpam-5788	51	12	elevated	elevated	ADJ
ejpam-5788	51	13	stress	stress	NOUN
ejpam-5788	51	14	conditions	condition	NOUN
ejpam-5788	51	15	in	in	ADP
ejpam-5788	51	16	order	order	NOUN
ejpam-5788	51	17	to	to	PART
ejpam-5788	51	18	collect	collect	VERB
ejpam-5788	51	19	more	more	ADJ
ejpam-5788	51	20	failure	failure	NOUN
ejpam-5788	51	21	data	datum	NOUN
ejpam-5788	51	22	within	within	ADP
ejpam-5788	51	23	a	a	DET
ejpam-5788	51	24	constrained	constrain	VERB
ejpam-5788	51	25	time	time	NOUN
ejpam-5788	51	26	frame	frame	NOUN
ejpam-5788	51	27	without	without	ADP
ejpam-5788	51	28	subjecting	subject	VERB
ejpam-5788	51	29	all	all	DET
ejpam-5788	51	30	units	unit	NOUN
ejpam-5788	51	31	to	to	ADP
ejpam-5788	51	32	high	high	ADJ
ejpam-5788	51	33	stress	stress	NOUN
ejpam-5788	51	34	.	.	PUNCT
ejpam-5788	52	1	palts	palt	NOUN
ejpam-5788	52	2	are	be	AUX
ejpam-5788	52	3	particularly	particularly	ADV
ejpam-5788	52	4	beneficial	beneficial	ADJ
ejpam-5788	52	5	in	in	ADP
ejpam-5788	52	6	scenarios	scenario	NOUN
ejpam-5788	52	7	where	where	SCONJ
ejpam-5788	52	8	time	time	NOUN
ejpam-5788	52	9	and	and	CCONJ
ejpam-5788	52	10	cost	cost	NOUN
ejpam-5788	52	11	are	be	AUX
ejpam-5788	52	12	pressing	press	VERB
ejpam-5788	52	13	concerns	concern	NOUN
ejpam-5788	52	14	.	.	PUNCT
ejpam-5788	53	1	the	the	DET
ejpam-5788	53	2	information	information	NOUN
ejpam-5788	53	3	obtained	obtain	VERB
ejpam-5788	53	4	from	from	ADP
ejpam-5788	53	5	such	such	ADJ
ejpam-5788	53	6	tests	test	NOUN
ejpam-5788	53	7	can	can	AUX
ejpam-5788	53	8	be	be	AUX
ejpam-5788	53	9	utilized	utilize	VERB
ejpam-5788	53	10	to	to	PART
ejpam-5788	53	11	estimate	estimate	VERB
ejpam-5788	53	12	the	the	DET
ejpam-5788	53	13	failure	failure	NOUN
ejpam-5788	53	14	behavior	behavior	NOUN
ejpam-5788	53	15	of	of	ADP
ejpam-5788	53	16	the	the	DET
ejpam-5788	53	17	units	unit	NOUN
ejpam-5788	53	18	under	under	ADP
ejpam-5788	53	19	normal	normal	ADJ
ejpam-5788	53	20	conditions	condition	NOUN
ejpam-5788	53	21	.	.	PUNCT
ejpam-5788	54	1	ref.[12	ref.[12	NOUN
ejpam-5788	54	2	]	]	PUNCT
ejpam-5788	54	3	performed	perform	VERB
ejpam-5788	54	4	a	a	DET
ejpam-5788	54	5	proper	proper	ADJ
ejpam-5788	54	6	statistical	statistical	ADJ
ejpam-5788	54	7	modeling	modeling	NOUN
ejpam-5788	54	8	of	of	ADP
ejpam-5788	54	9	palts	palt	NOUN
ejpam-5788	54	10	,	,	PUNCT
ejpam-5788	54	11	where	where	SCONJ
ejpam-5788	54	12	the	the	DET
ejpam-5788	54	13	authors	author	NOUN
ejpam-5788	54	14	considered	consider	VERB
ejpam-5788	54	15	the	the	DET
ejpam-5788	54	16	tempered	temper	VERB
ejpam-5788	54	17	random	random	ADJ
ejpam-5788	54	18	variable	variable	ADJ
ejpam-5788	54	19	model	model	NOUN
ejpam-5788	54	20	for	for	ADP
ejpam-5788	54	21	palts	palt	NOUN
ejpam-5788	54	22	.	.	PUNCT
ejpam-5788	55	1	in	in	ADP
ejpam-5788	55	2	contrast	contrast	NOUN
ejpam-5788	55	3	,	,	PUNCT
ejpam-5788	55	4	with	with	ADP
ejpam-5788	55	5	a	a	DET
ejpam-5788	55	6	step	step	NOUN
ejpam-5788	55	7	stress	stress	NOUN
ejpam-5788	55	8	alt	alt	VERB
ejpam-5788	55	9	model	model	NOUN
ejpam-5788	55	10	,	,	PUNCT
ejpam-5788	55	11	the	the	DET
ejpam-5788	55	12	stress	stress	NOUN
ejpam-5788	55	13	level	level	NOUN
ejpam-5788	55	14	changes	change	NOUN
ejpam-5788	55	15	at	at	ADP
ejpam-5788	55	16	specific	specific	ADJ
ejpam-5788	55	17	times	time	NOUN
ejpam-5788	55	18	or	or	CCONJ
ejpam-5788	55	19	when	when	SCONJ
ejpam-5788	55	20	a	a	DET
ejpam-5788	55	21	designated	designate	VERB
ejpam-5788	55	22	number	number	NOUN
ejpam-5788	55	23	of	of	ADP
ejpam-5788	55	24	units	unit	NOUN
ejpam-5788	55	25	fail	fail	VERB
ejpam-5788	55	26	.	.	PUNCT
ejpam-5788	56	1	as	as	ADP
ejpam-5788	56	2	a	a	DET
ejpam-5788	56	3	result	result	NOUN
ejpam-5788	56	4	,	,	PUNCT
ejpam-5788	56	5	the	the	DET
ejpam-5788	56	6	stress	stress	NOUN
ejpam-5788	56	7	on	on	ADP
ejpam-5788	56	8	all	all	DET
ejpam-5788	56	9	the	the	DET
ejpam-5788	56	10	products	product	NOUN
ejpam-5788	56	11	increases	increase	VERB
ejpam-5788	56	12	gradually	gradually	ADV
ejpam-5788	56	13	according	accord	VERB
ejpam-5788	56	14	to	to	ADP
ejpam-5788	56	15	some	some	DET
ejpam-5788	56	16	type	type	NOUN
ejpam-5788	56	17	of	of	ADP
ejpam-5788	56	18	rule	rule	NOUN
ejpam-5788	56	19	.	.	PUNCT
ejpam-5788	57	1	many	many	ADJ
ejpam-5788	57	2	authors	author	NOUN
ejpam-5788	57	3	have	have	AUX
ejpam-5788	57	4	extensively	extensively	ADV
ejpam-5788	57	5	researched	research	VERB
ejpam-5788	57	6	the	the	DET
ejpam-5788	57	7	step	step	NOUN
ejpam-5788	57	8	stress	stress	NOUN
ejpam-5788	57	9	models	model	NOUN
ejpam-5788	57	10	.	.	PUNCT
ejpam-5788	58	1	for	for	ADP
ejpam-5788	58	2	recent	recent	ADJ
ejpam-5788	58	3	literature	literature	NOUN
ejpam-5788	58	4	on	on	ADP
ejpam-5788	58	5	this	this	DET
ejpam-5788	58	6	topic	topic	NOUN
ejpam-5788	58	7	,	,	PUNCT
ejpam-5788	58	8	refs	ref	NOUN
ejpam-5788	58	9	.	.	PUNCT
ejpam-5788	59	1	[	[	X
ejpam-5788	59	2	13],[14	13],[14	NUM
ejpam-5788	59	3	]	]	X
ejpam-5788	59	4	,	,	PUNCT
ejpam-5788	59	5	and	and	CCONJ
ejpam-5788	59	6	[	[	X
ejpam-5788	59	7	15	15	NUM
ejpam-5788	59	8	]	]	PUNCT
ejpam-5788	59	9	.	.	PUNCT
ejpam-5788	60	1	to	to	PART
ejpam-5788	60	2	better	well	ADV
ejpam-5788	60	3	extrapolate	extrapolate	VERB
ejpam-5788	60	4	the	the	DET
ejpam-5788	60	5	lifetime	lifetime	NOUN
ejpam-5788	60	6	under	under	ADP
ejpam-5788	60	7	normal	normal	ADJ
ejpam-5788	60	8	use	use	NOUN
ejpam-5788	60	9	conditions	condition	NOUN
ejpam-5788	60	10	,	,	PUNCT
ejpam-5788	60	11	partially	partially	ADV
ejpam-5788	60	12	accelerated	accelerate	VERB
ejpam-5788	60	13	life	life	NOUN
ejpam-5788	60	14	test	test	NOUN
ejpam-5788	60	15	(	(	PUNCT
ejpam-5788	60	16	palt	palt	NOUN
ejpam-5788	60	17	)	)	PUNCT
ejpam-5788	60	18	was	be	AUX
ejpam-5788	60	19	developed	develop	VERB
ejpam-5788	60	20	.	.	PUNCT
ejpam-5788	61	1	it	it	PRON
ejpam-5788	61	2	divides	divide	VERB
ejpam-5788	61	3	all	all	DET
ejpam-5788	61	4	products	product	NOUN
ejpam-5788	61	5	into	into	ADP
ejpam-5788	61	6	groups	group	NOUN
ejpam-5788	61	7	and	and	CCONJ
ejpam-5788	61	8	test	test	VERB
ejpam-5788	61	9	each	each	PRON
ejpam-5788	61	10	in	in	ADP
ejpam-5788	61	11	normal	normal	ADJ
ejpam-5788	61	12	and	and	CCONJ
ejpam-5788	61	13	accelerated	accelerate	VERB
ejpam-5788	61	14	environments	environment	NOUN
ejpam-5788	61	15	.	.	PUNCT
ejpam-5788	62	1	two	two	NUM
ejpam-5788	62	2	sorts	sort	NOUN
ejpam-5788	62	3	of	of	ADP
ejpam-5788	62	4	prevalent	prevalent	ADJ
ejpam-5788	62	5	palts	palt	NOUN
ejpam-5788	62	6	are	be	AUX
ejpam-5788	62	7	known	know	VERB
ejpam-5788	62	8	as	as	ADP
ejpam-5788	62	9	the	the	DET
ejpam-5788	62	10	constant	constant	ADJ
ejpam-5788	62	11	stress	stress	NOUN
ejpam-5788	62	12	partially	partially	ADV
ejpam-5788	62	13	accelerated	accelerate	VERB
ejpam-5788	62	14	life	life	NOUN
ejpam-5788	62	15	tests	test	NOUN
ejpam-5788	62	16	(	(	PUNCT
ejpam-5788	62	17	cspalts	cspalt	NOUN
ejpam-5788	62	18	)	)	PUNCT
ejpam-5788	62	19	and	and	CCONJ
ejpam-5788	62	20	the	the	DET
ejpam-5788	62	21	step	step	NOUN
ejpam-5788	62	22	stress	stress	NOUN
ejpam-5788	62	23	partially	partially	ADV
ejpam-5788	62	24	accelerated	accelerate	VERB
ejpam-5788	62	25	life	life	NOUN
ejpam-5788	62	26	tests	test	NOUN
ejpam-5788	62	27	(	(	PUNCT
ejpam-5788	62	28	sspalts	sspalt	NOUN
ejpam-5788	62	29	)	)	PUNCT
ejpam-5788	62	30	.	.	PUNCT
ejpam-5788	63	1	cspalts	cspalt	NOUN
ejpam-5788	63	2	set	set	VERB
ejpam-5788	63	3	different	different	ADJ
ejpam-5788	63	4	groups	group	NOUN
ejpam-5788	63	5	of	of	ADP
ejpam-5788	63	6	units	unit	NOUN
ejpam-5788	63	7	under	under	ADP
ejpam-5788	63	8	use	use	NOUN
ejpam-5788	63	9	and	and	CCONJ
ejpam-5788	63	10	stress	stress	VERB
ejpam-5788	63	11	condition	condition	NOUN
ejpam-5788	63	12	respectively	respectively	ADV
ejpam-5788	63	13	.	.	PUNCT
ejpam-5788	64	1	by	by	ADP
ejpam-5788	64	2	comparison	comparison	NOUN
ejpam-5788	64	3	,	,	PUNCT
ejpam-5788	64	4	sspalts	sspalt	NOUN
ejpam-5788	64	5	start	start	VERB
ejpam-5788	64	6	with	with	ADP
ejpam-5788	64	7	normal	normal	ADJ
ejpam-5788	64	8	conditions	condition	NOUN
ejpam-5788	64	9	and	and	CCONJ
ejpam-5788	64	10	switch	switch	VERB
ejpam-5788	64	11	to	to	PART
ejpam-5788	64	12	accelerated	accelerate	VERB
ejpam-5788	64	13	conditions	condition	NOUN
ejpam-5788	64	14	if	if	SCONJ
ejpam-5788	64	15	the	the	DET
ejpam-5788	64	16	unit	unit	NOUN
ejpam-5788	64	17	does	do	AUX
ejpam-5788	64	18	not	not	PART
ejpam-5788	64	19	cease	cease	VERB
ejpam-5788	64	20	to	to	PART
ejpam-5788	64	21	function	function	VERB
ejpam-5788	64	22	before	before	ADP
ejpam-5788	64	23	a	a	DET
ejpam-5788	64	24	prefixed	prefix	VERB
ejpam-5788	64	25	point	point	NOUN
ejpam-5788	64	26	in	in	ADP
ejpam-5788	64	27	time	time	NOUN
ejpam-5788	64	28	τ	τ	X
ejpam-5788	64	29	.	.	PUNCT
ejpam-5788	65	1	the	the	DET
ejpam-5788	65	2	specific	specific	ADJ
ejpam-5788	65	3	illustration	illustration	NOUN
ejpam-5788	65	4	of	of	ADP
ejpam-5788	65	5	the	the	DET
ejpam-5788	65	6	differences	difference	NOUN
ejpam-5788	65	7	between	between	ADP
ejpam-5788	65	8	the	the	DET
ejpam-5788	65	9	two	two	NUM
ejpam-5788	65	10	palts	palt	NOUN
ejpam-5788	65	11	are	be	AUX
ejpam-5788	65	12	displayed	display	VERB
ejpam-5788	65	13	in	in	ADP
ejpam-5788	65	14	fig.(1	fig.(1	PROPN
ejpam-5788	65	15	)	)	PUNCT
ejpam-5788	65	16	.	.	PUNCT
ejpam-5788	66	1	figure	figure	VERB
ejpam-5788	66	2	1	1	NUM
ejpam-5788	66	3	:	:	PUNCT
ejpam-5788	66	4	a	a	DET
ejpam-5788	66	5	schematic	schematic	ADJ
ejpam-5788	66	6	diagram	diagram	NOUN
ejpam-5788	66	7	of	of	ADP
ejpam-5788	66	8	(	(	PUNCT
ejpam-5788	66	9	a	a	PRON
ejpam-5788	66	10	)	)	PUNCT
ejpam-5788	66	11	cspalts	cspalt	NOUN
ejpam-5788	66	12	and	and	CCONJ
ejpam-5788	66	13	(	(	PUNCT
ejpam-5788	66	14	b	b	X
ejpam-5788	66	15	)	)	PUNCT
ejpam-5788	66	16	sspalts	sspalt	NOUN
ejpam-5788	66	17	our	our	PRON
ejpam-5788	66	18	primary	primary	ADJ
ejpam-5788	66	19	focus	focus	NOUN
ejpam-5788	66	20	in	in	ADP
ejpam-5788	66	21	this	this	DET
ejpam-5788	66	22	paper	paper	NOUN
ejpam-5788	66	23	lies	lie	VERB
ejpam-5788	66	24	within	within	ADP
ejpam-5788	66	25	the	the	DET
ejpam-5788	66	26	realm	realm	NOUN
ejpam-5788	66	27	of	of	ADP
ejpam-5788	66	28	cspalts	cspalt	NOUN
ejpam-5788	66	29	.	.	PUNCT
ejpam-5788	67	1	numerous	numerous	ADJ
ejpam-5788	67	2	research	research	NOUN
ejpam-5788	67	3	studies	study	NOUN
ejpam-5788	67	4	have	have	AUX
ejpam-5788	67	5	also	also	ADV
ejpam-5788	67	6	given	give	VERB
ejpam-5788	67	7	attention	attention	NOUN
ejpam-5788	67	8	to	to	ADP
ejpam-5788	67	9	cspalts	cspalt	NOUN
ejpam-5788	67	10	,	,	PUNCT
ejpam-5788	67	11	as	as	SCONJ
ejpam-5788	67	12	illustrated	illustrate	VERB
ejpam-5788	67	13	by	by	ADP
ejpam-5788	67	14	,	,	PUNCT
ejpam-5788	67	15	for	for	ADP
ejpam-5788	67	16	instance	instance	NOUN
ejpam-5788	67	17	,	,	PUNCT
ejpam-5788	67	18	refs.[16],[17],[18],[19],[20	refs.[16],[17],[18],[19],[20	PROPN
ejpam-5788	67	19	]	]	PUNCT
ejpam-5788	67	20	,	,	PUNCT
ejpam-5788	67	21	and	and	CCONJ
ejpam-5788	67	22	[	[	X
ejpam-5788	67	23	21	21	NUM
ejpam-5788	67	24	]	]	PUNCT
ejpam-5788	67	25	.	.	PUNCT
ejpam-5788	68	1	even	even	ADV
ejpam-5788	68	2	though	though	SCONJ
ejpam-5788	68	3	the	the	DET
ejpam-5788	68	4	major	major	ADJ
ejpam-5788	68	5	goal	goal	NOUN
ejpam-5788	68	6	of	of	ADP
ejpam-5788	68	7	partial	partial	ADJ
ejpam-5788	68	8	alt	alt	NOUN
ejpam-5788	68	9	is	be	AUX
ejpam-5788	68	10	to	to	PART
ejpam-5788	68	11	reduce	reduce	VERB
ejpam-5788	68	12	the	the	DET
ejpam-5788	68	13	testing	testing	NOUN
ejpam-5788	68	14	period	period	NOUN
ejpam-5788	68	15	of	of	ADP
ejpam-5788	68	16	the	the	DET
ejpam-5788	68	17	experiment	experiment	NOUN
ejpam-5788	68	18	,	,	PUNCT
ejpam-5788	68	19	the	the	DET
ejpam-5788	68	20	experimenter	experimenter	NOUN
ejpam-5788	68	21	spends	spend	VERB
ejpam-5788	68	22	a	a	DET
ejpam-5788	68	23	significant	significant	ADJ
ejpam-5788	68	24	amount	amount	NOUN
ejpam-5788	68	25	a.	a.	NOUN
ejpam-5788	68	26	a.	a.	PROPN
ejpam-5788	68	27	soliman	soliman	PROPN
ejpam-5788	68	28	et	et	PROPN
ejpam-5788	68	29	al	al	PROPN
ejpam-5788	68	30	.	.	PUNCT
ejpam-5788	68	31	/	/	SYM
ejpam-5788	68	32	eur	eur	PROPN
ejpam-5788	68	33	.	.	PUNCT
ejpam-5788	69	1	j.	j.	PROPN
ejpam-5788	69	2	pure	pure	PROPN
ejpam-5788	69	3	appl	appl	PROPN
ejpam-5788	69	4	.	.	PROPN
ejpam-5788	69	5	math	math	PROPN
ejpam-5788	69	6	,	,	PUNCT
ejpam-5788	69	7	18	18	NUM
ejpam-5788	69	8	(	(	PUNCT
ejpam-5788	69	9	2	2	NUM
ejpam-5788	69	10	)	)	PUNCT
ejpam-5788	69	11	(	(	PUNCT
ejpam-5788	69	12	2025	2025	NUM
ejpam-5788	69	13	)	)	PUNCT
ejpam-5788	69	14	,	,	PUNCT
ejpam-5788	69	15	5788	5788	NUM
ejpam-5788	69	16	4	4	NUM
ejpam-5788	69	17	of	of	ADP
ejpam-5788	69	18	34	34	NUM
ejpam-5788	69	19	of	of	ADP
ejpam-5788	69	20	time	time	NOUN
ejpam-5788	69	21	waiting	wait	VERB
ejpam-5788	69	22	for	for	SCONJ
ejpam-5788	69	23	all	all	DET
ejpam-5788	69	24	test	test	NOUN
ejpam-5788	69	25	units	unit	NOUN
ejpam-5788	69	26	to	to	PART
ejpam-5788	69	27	reach	reach	VERB
ejpam-5788	69	28	the	the	DET
ejpam-5788	69	29	point	point	NOUN
ejpam-5788	69	30	of	of	ADP
ejpam-5788	69	31	failure	failure	NOUN
ejpam-5788	69	32	.	.	PUNCT
ejpam-5788	70	1	to	to	PART
ejpam-5788	70	2	overcome	overcome	VERB
ejpam-5788	70	3	this	this	DET
ejpam-5788	70	4	problem	problem	NOUN
ejpam-5788	70	5	,	,	PUNCT
ejpam-5788	70	6	censoring	censor	VERB
ejpam-5788	70	7	schemes	scheme	NOUN
ejpam-5788	70	8	are	be	AUX
ejpam-5788	70	9	employed	employ	VERB
ejpam-5788	70	10	to	to	PART
ejpam-5788	70	11	terminate	terminate	VERB
ejpam-5788	70	12	life	life	NOUN
ejpam-5788	70	13	tests	test	NOUN
ejpam-5788	70	14	.	.	PUNCT
ejpam-5788	71	1	type	type	NOUN
ejpam-5788	71	2	-	-	PUNCT
ejpam-5788	71	3	i	i	NOUN
ejpam-5788	71	4	and	and	CCONJ
ejpam-5788	71	5	type	type	NOUN
ejpam-5788	71	6	-	-	PUNCT
ejpam-5788	71	7	ii	ii	NOUN
ejpam-5788	71	8	censoring	censor	VERB
ejpam-5788	71	9	are	be	AUX
ejpam-5788	71	10	commonly	commonly	ADV
ejpam-5788	71	11	regarded	regard	VERB
ejpam-5788	71	12	as	as	ADP
ejpam-5788	71	13	two	two	NUM
ejpam-5788	71	14	main	main	ADJ
ejpam-5788	71	15	scheme	scheme	NOUN
ejpam-5788	71	16	for	for	ADP
ejpam-5788	71	17	conducting	conduct	VERB
ejpam-5788	71	18	lifetime	lifetime	NOUN
ejpam-5788	71	19	experiments	experiment	NOUN
ejpam-5788	71	20	,	,	PUNCT
ejpam-5788	71	21	in	in	ADP
ejpam-5788	71	22	which	which	PRON
ejpam-5788	71	23	we	we	PRON
ejpam-5788	71	24	terminate	terminate	VERB
ejpam-5788	71	25	the	the	DET
ejpam-5788	71	26	experiments	experiment	NOUN
ejpam-5788	71	27	at	at	ADP
ejpam-5788	71	28	a	a	DET
ejpam-5788	71	29	specific	specific	ADJ
ejpam-5788	71	30	time	time	NOUN
ejpam-5788	71	31	point	point	NOUN
ejpam-5788	71	32	or	or	CCONJ
ejpam-5788	71	33	when	when	SCONJ
ejpam-5788	71	34	a	a	DET
ejpam-5788	71	35	given	give	VERB
ejpam-5788	71	36	amount	amount	NOUN
ejpam-5788	71	37	of	of	ADP
ejpam-5788	71	38	failures	failure	NOUN
ejpam-5788	71	39	occur	occur	VERB
ejpam-5788	71	40	.	.	PUNCT
ejpam-5788	72	1	ref.[22	ref.[22	NOUN
ejpam-5788	72	2	]	]	X
ejpam-5788	72	3	merged	merge	VERB
ejpam-5788	72	4	the	the	DET
ejpam-5788	72	5	two	two	NUM
ejpam-5788	72	6	censoring	censor	VERB
ejpam-5788	72	7	techniques	technique	NOUN
ejpam-5788	72	8	mentioned	mention	VERB
ejpam-5788	72	9	earlier	early	ADV
ejpam-5788	72	10	and	and	CCONJ
ejpam-5788	72	11	introduced	introduce	VERB
ejpam-5788	72	12	the	the	DET
ejpam-5788	72	13	initial	initial	ADJ
ejpam-5788	72	14	hybrid	hybrid	ADJ
ejpam-5788	72	15	censoring	censor	VERB
ejpam-5788	72	16	scheme	scheme	NOUN
ejpam-5788	72	17	,	,	PUNCT
ejpam-5788	72	18	referred	refer	VERB
ejpam-5788	72	19	to	to	ADP
ejpam-5788	72	20	as	as	ADP
ejpam-5788	72	21	the	the	DET
ejpam-5788	72	22	type	type	NOUN
ejpam-5788	72	23	-	-	PUNCT
ejpam-5788	72	24	i	i	PRON
ejpam-5788	72	25	hybrid	hybrid	ADJ
ejpam-5788	72	26	censoring	censor	VERB
ejpam-5788	72	27	scheme	scheme	NOUN
ejpam-5788	72	28	(	(	PUNCT
ejpam-5788	72	29	type	type	NOUN
ejpam-5788	72	30	-	-	PUNCT
ejpam-5788	72	31	i	i	PRON
ejpam-5788	72	32	hcs	hcs	PROPN
ejpam-5788	72	33	)	)	PUNCT
ejpam-5788	72	34	.	.	PUNCT
ejpam-5788	73	1	within	within	ADP
ejpam-5788	73	2	the	the	DET
ejpam-5788	73	3	type	type	NOUN
ejpam-5788	73	4	-	-	PUNCT
ejpam-5788	73	5	i	i	PRON
ejpam-5788	73	6	hcs	hcs	PROPN
ejpam-5788	73	7	,	,	PUNCT
ejpam-5788	73	8	the	the	DET
ejpam-5788	73	9	life	life	NOUN
ejpam-5788	73	10	testing	testing	NOUN
ejpam-5788	73	11	experiment	experiment	NOUN
ejpam-5788	73	12	concludes	conclude	VERB
ejpam-5788	73	13	either	either	CCONJ
ejpam-5788	73	14	at	at	ADP
ejpam-5788	73	15	the	the	DET
ejpam-5788	73	16	designated	designate	VERB
ejpam-5788	73	17	time	time	NOUN
ejpam-5788	73	18	t	t	PROPN
ejpam-5788	73	19	or	or	CCONJ
ejpam-5788	73	20	when	when	SCONJ
ejpam-5788	73	21	a	a	DET
ejpam-5788	73	22	predetermined	predetermined	ADJ
ejpam-5788	73	23	count	count	NOUN
ejpam-5788	73	24	of	of	ADP
ejpam-5788	73	25	m	m	PROPN
ejpam-5788	73	26	items	item	NOUN
ejpam-5788	73	27	encounter	encounter	ADJ
ejpam-5788	73	28	failure	failure	NOUN
ejpam-5788	73	29	.	.	PUNCT
ejpam-5788	74	1	therefore	therefore	ADV
ejpam-5788	74	2	,	,	PUNCT
ejpam-5788	74	3	the	the	DET
ejpam-5788	74	4	cessation	cessation	NOUN
ejpam-5788	74	5	moment	moment	NOUN
ejpam-5788	74	6	for	for	ADP
ejpam-5788	74	7	type	type	NOUN
ejpam-5788	74	8	-	-	PUNCT
ejpam-5788	74	9	i	i	PRON
ejpam-5788	74	10	hcs	hcs	PROPN
ejpam-5788	74	11	is	be	AUX
ejpam-5788	74	12	given	give	VERB
ejpam-5788	74	13	by	by	ADP
ejpam-5788	74	14	t	t	NOUN
ejpam-5788	74	15	∗	∗	NOUN
ejpam-5788	74	16	=	=	PUNCT
ejpam-5788	74	17	min(xm	min(xm	ADJ
ejpam-5788	74	18	:	:	PUNCT
ejpam-5788	74	19	n	n	NUM
ejpam-5788	74	20	,	,	PUNCT
ejpam-5788	74	21	t	t	PROPN
ejpam-5788	74	22	)	)	PUNCT
ejpam-5788	74	23	,	,	PUNCT
ejpam-5788	74	24	where	where	SCONJ
ejpam-5788	74	25	xm	xm	X
ejpam-5788	74	26	:	:	PUNCT
ejpam-5788	74	27	n	n	PRON
ejpam-5788	74	28	represents	represent	VERB
ejpam-5788	74	29	the	the	DET
ejpam-5788	74	30	duration	duration	NOUN
ejpam-5788	74	31	until	until	ADP
ejpam-5788	74	32	m	m	PROPN
ejpam-5788	74	33	out	out	ADP
ejpam-5788	74	34	of	of	ADP
ejpam-5788	74	35	n	n	PRON
ejpam-5788	74	36	testing	test	VERB
ejpam-5788	74	37	items	item	NOUN
ejpam-5788	74	38	experience	experience	NOUN
ejpam-5788	74	39	failure	failure	NOUN
ejpam-5788	74	40	.	.	PUNCT
ejpam-5788	75	1	many	many	ADJ
ejpam-5788	75	2	researchers	researcher	NOUN
ejpam-5788	75	3	have	have	AUX
ejpam-5788	75	4	worked	work	VERB
ejpam-5788	75	5	on	on	ADP
ejpam-5788	75	6	type	type	NOUN
ejpam-5788	75	7	-	-	PUNCT
ejpam-5788	75	8	i	i	PRON
ejpam-5788	75	9	hcs	hcs	PROPN
ejpam-5788	75	10	,	,	PUNCT
ejpam-5788	75	11	including	include	VERB
ejpam-5788	75	12	ref.[23	ref.[23	NOUN
ejpam-5788	75	13	]	]	PUNCT
ejpam-5788	75	14	.	.	PUNCT
ejpam-5788	76	1	one	one	NUM
ejpam-5788	76	2	downside	downside	NOUN
ejpam-5788	76	3	of	of	ADP
ejpam-5788	76	4	type	type	NOUN
ejpam-5788	76	5	-	-	PUNCT
ejpam-5788	76	6	i	i	PRON
ejpam-5788	76	7	hcs	hcs	VERB
ejpam-5788	76	8	is	be	AUX
ejpam-5788	76	9	that	that	SCONJ
ejpam-5788	76	10	a	a	DET
ejpam-5788	76	11	small	small	ADJ
ejpam-5788	76	12	number	number	NOUN
ejpam-5788	76	13	of	of	ADP
ejpam-5788	76	14	failures	failure	NOUN
ejpam-5788	76	15	may	may	AUX
ejpam-5788	76	16	occur	occur	VERB
ejpam-5788	76	17	till	till	SCONJ
ejpam-5788	76	18	after	after	ADP
ejpam-5788	76	19	a	a	DET
ejpam-5788	76	20	set	set	NOUN
ejpam-5788	76	21	duration	duration	NOUN
ejpam-5788	76	22	t	t	PROPN
ejpam-5788	76	23	∗.	∗.	PROPN
ejpam-5788	76	24	hence	hence	ADV
ejpam-5788	76	25	,	,	PUNCT
ejpam-5788	76	26	drawing	draw	VERB
ejpam-5788	76	27	statistical	statistical	ADJ
ejpam-5788	76	28	conclusions	conclusion	NOUN
ejpam-5788	76	29	within	within	ADP
ejpam-5788	76	30	this	this	DET
ejpam-5788	76	31	type	type	NOUN
ejpam-5788	76	32	of	of	ADP
ejpam-5788	76	33	scheme	scheme	NOUN
ejpam-5788	76	34	might	might	AUX
ejpam-5788	76	35	prove	prove	VERB
ejpam-5788	76	36	to	to	PART
ejpam-5788	76	37	be	be	AUX
ejpam-5788	76	38	unworkable	unworkable	ADJ
ejpam-5788	76	39	.	.	PUNCT
ejpam-5788	77	1	to	to	PART
ejpam-5788	77	2	address	address	VERB
ejpam-5788	77	3	this	this	DET
ejpam-5788	77	4	drawback	drawback	NOUN
ejpam-5788	77	5	and	and	CCONJ
ejpam-5788	77	6	enhance	enhance	VERB
ejpam-5788	77	7	the	the	DET
ejpam-5788	77	8	effectiveness	effectiveness	NOUN
ejpam-5788	77	9	of	of	ADP
ejpam-5788	77	10	estimators	estimator	NOUN
ejpam-5788	77	11	within	within	ADP
ejpam-5788	77	12	life	life	NOUN
ejpam-5788	77	13	-	-	PUNCT
ejpam-5788	77	14	testing	testing	NOUN
ejpam-5788	77	15	experiments	experiment	NOUN
ejpam-5788	77	16	,	,	PUNCT
ejpam-5788	77	17	while	while	SCONJ
ejpam-5788	77	18	also	also	ADV
ejpam-5788	77	19	ensuring	ensure	VERB
ejpam-5788	77	20	a	a	DET
ejpam-5788	77	21	specific	specific	ADJ
ejpam-5788	77	22	count	count	NOUN
ejpam-5788	77	23	of	of	ADP
ejpam-5788	77	24	failures	failure	NOUN
ejpam-5788	77	25	before	before	SCONJ
ejpam-5788	77	26	the	the	DET
ejpam-5788	77	27	experiment	experiment	NOUN
ejpam-5788	77	28	concludes	conclude	VERB
ejpam-5788	77	29	,	,	PUNCT
ejpam-5788	77	30	and	and	CCONJ
ejpam-5788	77	31	concurrently	concurrently	ADV
ejpam-5788	77	32	reducing	reduce	VERB
ejpam-5788	77	33	testing	testing	NOUN
ejpam-5788	77	34	time	time	NOUN
ejpam-5788	77	35	and	and	CCONJ
ejpam-5788	77	36	costs	cost	NOUN
ejpam-5788	77	37	associated	associate	VERB
ejpam-5788	77	38	with	with	ADP
ejpam-5788	77	39	unit	unit	NOUN
ejpam-5788	77	40	failures	failure	NOUN
ejpam-5788	77	41	,	,	PUNCT
ejpam-5788	77	42	a	a	DET
ejpam-5788	77	43	generalized	generalize	VERB
ejpam-5788	77	44	hybrid	hybrid	ADJ
ejpam-5788	77	45	type	type	NOUN
ejpam-5788	77	46	-	-	PUNCT
ejpam-5788	77	47	i	i	PRON
ejpam-5788	77	48	censoring	censor	VERB
ejpam-5788	77	49	scheme	scheme	NOUN
ejpam-5788	77	50	was	be	AUX
ejpam-5788	77	51	introduced	introduce	VERB
ejpam-5788	77	52	by	by	ADP
ejpam-5788	77	53	ref.[24	ref.[24	NOUN
ejpam-5788	77	54	]	]	PUNCT
ejpam-5788	77	55	.	.	PUNCT
ejpam-5788	78	1	the	the	DET
ejpam-5788	78	2	type	type	NOUN
ejpam-5788	78	3	-	-	PUNCT
ejpam-5788	78	4	i	i	PRON
ejpam-5788	78	5	generalized	generalize	VERB
ejpam-5788	78	6	hybrid	hybrid	ADJ
ejpam-5788	78	7	censoring	censor	VERB
ejpam-5788	78	8	scheme	scheme	NOUN
ejpam-5788	78	9	(	(	PUNCT
ejpam-5788	78	10	type	type	NOUN
ejpam-5788	78	11	-	-	PUNCT
ejpam-5788	78	12	i	i	PRON
ejpam-5788	78	13	ghcs	ghcs	VERB
ejpam-5788	78	14	)	)	PUNCT
ejpam-5788	78	15	approach	approach	NOUN
ejpam-5788	78	16	ensures	ensure	VERB
ejpam-5788	78	17	a	a	DET
ejpam-5788	78	18	minimum	minimum	ADJ
ejpam-5788	78	19	threshold	threshold	NOUN
ejpam-5788	78	20	of	of	ADP
ejpam-5788	78	21	failures	failure	NOUN
ejpam-5788	78	22	,	,	PUNCT
ejpam-5788	78	23	which	which	PRON
ejpam-5788	78	24	helps	help	VERB
ejpam-5788	78	25	alleviate	alleviate	VERB
ejpam-5788	78	26	the	the	DET
ejpam-5788	78	27	shortfall	shortfall	NOUN
ejpam-5788	78	28	present	present	ADJ
ejpam-5788	78	29	in	in	ADP
ejpam-5788	78	30	type	type	NOUN
ejpam-5788	78	31	-	-	PUNCT
ejpam-5788	78	32	i	i	PRON
ejpam-5788	78	33	hcs	hcs	VERB
ejpam-5788	78	34	.	.	PUNCT
ejpam-5788	79	1	we	we	PRON
ejpam-5788	79	2	suppose	suppose	VERB
ejpam-5788	79	3	,	,	PUNCT
ejpam-5788	79	4	{	{	PUNCT
ejpam-5788	79	5	x1	x1	NOUN
ejpam-5788	79	6	:	:	PUNCT
ejpam-5788	79	7	n	n	CCONJ
ejpam-5788	79	8	,	,	PUNCT
ejpam-5788	79	9	.	.	PUNCT
ejpam-5788	79	10	.	.	PUNCT
ejpam-5788	79	11	.	.	PUNCT
ejpam-5788	80	1	,	,	PUNCT
ejpam-5788	80	2	xn	xn	PROPN
ejpam-5788	80	3	:	:	PUNCT
ejpam-5788	80	4	n	n	CCONJ
ejpam-5788	80	5	}	}	PUNCT
ejpam-5788	80	6	constitute	constitute	VERB
ejpam-5788	80	7	a	a	DET
ejpam-5788	80	8	sequence	sequence	NOUN
ejpam-5788	80	9	of	of	ADP
ejpam-5788	80	10	ordered	order	VERB
ejpam-5788	80	11	observations	observation	NOUN
ejpam-5788	80	12	concerning	concern	VERB
ejpam-5788	80	13	the	the	DET
ejpam-5788	80	14	lifetimes	lifetime	NOUN
ejpam-5788	80	15	of	of	ADP
ejpam-5788	80	16	failures	failure	NOUN
ejpam-5788	80	17	within	within	ADP
ejpam-5788	80	18	a	a	DET
ejpam-5788	80	19	set	set	NOUN
ejpam-5788	80	20	of	of	ADP
ejpam-5788	80	21	size	size	NOUN
ejpam-5788	80	22	n.	n.	NOUN
ejpam-5788	80	23	the	the	DET
ejpam-5788	80	24	values	value	NOUN
ejpam-5788	80	25	of	of	ADP
ejpam-5788	80	26	l	l	PROPN
ejpam-5788	80	27	,	,	PUNCT
ejpam-5788	80	28	m	m	PROPN
ejpam-5788	80	29	,	,	PUNCT
ejpam-5788	80	30	and	and	CCONJ
ejpam-5788	80	31	t	t	PROPN
ejpam-5788	80	32	are	be	AUX
ejpam-5788	80	33	defined	define	VERB
ejpam-5788	80	34	in	in	ADP
ejpam-5788	80	35	advance	advance	NOUN
ejpam-5788	80	36	,	,	PUNCT
ejpam-5788	80	37	where	where	SCONJ
ejpam-5788	80	38	l	l	NOUN
ejpam-5788	80	39	<	<	X
ejpam-5788	80	40	m	m	VERB
ejpam-5788	80	41	<	<	X
ejpam-5788	80	42	n	n	PRON
ejpam-5788	80	43	represents	represent	VERB
ejpam-5788	80	44	the	the	DET
ejpam-5788	80	45	smallest	small	ADJ
ejpam-5788	80	46	acceptable	acceptable	ADJ
ejpam-5788	80	47	number	number	NOUN
ejpam-5788	80	48	of	of	ADP
ejpam-5788	80	49	failures	failure	NOUN
ejpam-5788	80	50	fixed	fix	VERB
ejpam-5788	80	51	before	before	ADP
ejpam-5788	80	52	the	the	DET
ejpam-5788	80	53	experiment	experiment	NOUN
ejpam-5788	80	54	,	,	PUNCT
ejpam-5788	80	55	m	m	VERB
ejpam-5788	80	56	represents	represent	VERB
ejpam-5788	80	57	the	the	DET
ejpam-5788	80	58	intended	intended	ADJ
ejpam-5788	80	59	quantity	quantity	NOUN
ejpam-5788	80	60	of	of	ADP
ejpam-5788	80	61	failures	failure	NOUN
ejpam-5788	80	62	,	,	PUNCT
ejpam-5788	80	63	and	and	CCONJ
ejpam-5788	80	64	t	t	PROPN
ejpam-5788	80	65	represents	represent	VERB
ejpam-5788	80	66	a	a	DET
ejpam-5788	80	67	certain	certain	ADJ
ejpam-5788	80	68	time	time	NOUN
ejpam-5788	80	69	instant	instant	ADJ
ejpam-5788	80	70	.	.	PUNCT
ejpam-5788	81	1	these	these	DET
ejpam-5788	81	2	three	three	NUM
ejpam-5788	81	3	censoring	censor	VERB
ejpam-5788	81	4	models	model	NOUN
ejpam-5788	81	5	mentioned	mention	VERB
ejpam-5788	81	6	previously	previously	ADV
ejpam-5788	81	7	can	can	AUX
ejpam-5788	81	8	be	be	AUX
ejpam-5788	81	9	stated	state	VERB
ejpam-5788	81	10	as	as	SCONJ
ejpam-5788	81	11	follows	follow	VERB
ejpam-5788	81	12	;	;	PUNCT
ejpam-5788	81	13	•	•	NUM
ejpam-5788	81	14	type	type	NOUN
ejpam-5788	81	15	-	-	PUNCT
ejpam-5788	81	16	i	i	PRON
ejpam-5788	81	17	cs	cs	NOUN
ejpam-5788	81	18	:	:	PUNCT
ejpam-5788	81	19	terminate	terminate	NOUN
ejpam-5788	81	20	at	at	ADP
ejpam-5788	81	21	t	t	PROPN
ejpam-5788	81	22	.	.	PUNCT
ejpam-5788	82	1	•	•	ADP
ejpam-5788	82	2	type	type	NOUN
ejpam-5788	82	3	-	-	PUNCT
ejpam-5788	82	4	i	i	PRON
ejpam-5788	82	5	hcs	hcs	VERB
ejpam-5788	82	6	:	:	PUNCT
ejpam-5788	82	7	terminate	terminate	NOUN
ejpam-5788	82	8	at	at	ADP
ejpam-5788	82	9	t	t	PROPN
ejpam-5788	82	10	∗	∗	NOUN
ejpam-5788	82	11	=	=	PUNCT
ejpam-5788	82	12	min(xm	min(xm	PROPN
ejpam-5788	82	13	,	,	PUNCT
ejpam-5788	82	14	n	n	CCONJ
ejpam-5788	82	15	,	,	PUNCT
ejpam-5788	82	16	t	t	PROPN
ejpam-5788	82	17	)	)	PUNCT
ejpam-5788	82	18	.	.	PUNCT
ejpam-5788	83	1	•	•	NOUN
ejpam-5788	83	2	type	type	NOUN
ejpam-5788	83	3	-	-	PUNCT
ejpam-5788	83	4	i	i	PRON
ejpam-5788	83	5	ghcs	ghcs	VERB
ejpam-5788	83	6	:	:	PUNCT
ejpam-5788	83	7	terminate	terminate	NOUN
ejpam-5788	83	8	at	at	ADP
ejpam-5788	83	9	t	t	PROPN
ejpam-5788	83	10	∗	∗	NOUN
ejpam-5788	83	11	=	=	SYM
ejpam-5788	83	12	max(xl	max(xl	NUM
ejpam-5788	83	13	:	:	PUNCT
ejpam-5788	83	14	n	n	CCONJ
ejpam-5788	83	15	,	,	PUNCT
ejpam-5788	83	16	min(xm	min(xm	ADJ
ejpam-5788	83	17	:	:	PUNCT
ejpam-5788	83	18	n	n	NUM
ejpam-5788	83	19	,	,	PUNCT
ejpam-5788	83	20	t	t	NOUN
ejpam-5788	83	21	)	)	PUNCT
ejpam-5788	83	22	)	)	PUNCT
ejpam-5788	83	23	.	.	PUNCT
ejpam-5788	84	1	this	this	DET
ejpam-5788	84	2	article	article	NOUN
ejpam-5788	84	3	focuses	focus	VERB
ejpam-5788	84	4	on	on	ADP
ejpam-5788	84	5	type	type	NOUN
ejpam-5788	84	6	-	-	PUNCT
ejpam-5788	84	7	i	i	PRON
ejpam-5788	84	8	ghcs	ghcs	VERB
ejpam-5788	84	9	,	,	PUNCT
ejpam-5788	84	10	which	which	PRON
ejpam-5788	84	11	is	be	AUX
ejpam-5788	84	12	classified	classify	VERB
ejpam-5788	84	13	into	into	ADP
ejpam-5788	84	14	three	three	NUM
ejpam-5788	84	15	categories	category	NOUN
ejpam-5788	84	16	such	such	ADJ
ejpam-5788	84	17	as	as	ADP
ejpam-5788	84	18	;	;	PUNCT
ejpam-5788	84	19	•	•	PRON
ejpam-5788	84	20	{	{	PUNCT
ejpam-5788	84	21	x1	x1	NOUN
ejpam-5788	84	22	:	:	PUNCT
ejpam-5788	84	23	n	n	X
ejpam-5788	84	24	<	<	X
ejpam-5788	84	25	·	·	PUNCT
ejpam-5788	84	26	·	·	PUNCT
ejpam-5788	84	27	·	·	PUNCT
ejpam-5788	85	1	<	<	X
ejpam-5788	85	2	xl	xl	PROPN
ejpam-5788	85	3	:	:	PUNCT
ejpam-5788	85	4	n	n	CCONJ
ejpam-5788	85	5	}	}	PUNCT
ejpam-5788	85	6	,	,	PUNCT
ejpam-5788	85	7	when	when	SCONJ
ejpam-5788	85	8	,	,	PUNCT
ejpam-5788	85	9	xl	xl	PROPN
ejpam-5788	85	10	:	:	PUNCT
ejpam-5788	85	11	n	n	CCONJ
ejpam-5788	85	12	>	>	X
ejpam-5788	85	13	t	t	PROPN
ejpam-5788	85	14	.	.	PUNCT
ejpam-5788	86	1	•	•	NUM
ejpam-5788	86	2	{	{	PUNCT
ejpam-5788	86	3	x1	x1	NOUN
ejpam-5788	86	4	:	:	PUNCT
ejpam-5788	86	5	n	n	X
ejpam-5788	86	6	<	<	X
ejpam-5788	86	7	·	·	PUNCT
ejpam-5788	86	8	·	·	PUNCT
ejpam-5788	86	9	·	·	PUNCT
ejpam-5788	87	1	<	<	X
ejpam-5788	87	2	xd∗:n	xd∗:n	X
ejpam-5788	87	3	}	}	PUNCT
ejpam-5788	87	4	,	,	PUNCT
ejpam-5788	87	5	when	when	SCONJ
ejpam-5788	87	6	,	,	PUNCT
ejpam-5788	87	7	xl	xl	PROPN
ejpam-5788	87	8	:	:	PUNCT
ejpam-5788	87	9	n	n	CCONJ
ejpam-5788	87	10	<	<	X
ejpam-5788	87	11	t	t	X
ejpam-5788	87	12	<	<	X
ejpam-5788	87	13	xm	xm	PROPN
ejpam-5788	87	14	:	:	PUNCT
ejpam-5788	87	15	n.	n.	NOUN
ejpam-5788	87	16	•	•	INTJ
ejpam-5788	87	17	{	{	PUNCT
ejpam-5788	87	18	x1	x1	NOUN
ejpam-5788	87	19	:	:	PUNCT
ejpam-5788	87	20	n	n	X
ejpam-5788	87	21	<	<	X
ejpam-5788	87	22	·	·	PUNCT
ejpam-5788	87	23	·	·	PUNCT
ejpam-5788	87	24	·	·	PUNCT
ejpam-5788	88	1	<	<	X
ejpam-5788	88	2	xm	xm	PROPN
ejpam-5788	88	3	:	:	PUNCT
ejpam-5788	88	4	n	n	CCONJ
ejpam-5788	88	5	}	}	PUNCT
ejpam-5788	88	6	,	,	PUNCT
ejpam-5788	88	7	when	when	SCONJ
ejpam-5788	88	8	,	,	PUNCT
ejpam-5788	88	9	xm	xm	PROPN
ejpam-5788	88	10	:	:	PUNCT
ejpam-5788	88	11	n	n	ADP
ejpam-5788	88	12	<	<	X
ejpam-5788	88	13	t	t	PROPN
ejpam-5788	88	14	.	.	PUNCT
ejpam-5788	89	1	additional	additional	ADJ
ejpam-5788	89	2	literature	literature	NOUN
ejpam-5788	89	3	on	on	ADP
ejpam-5788	89	4	type	type	NOUN
ejpam-5788	89	5	-	-	PUNCT
ejpam-5788	89	6	i	i	PRON
ejpam-5788	89	7	ghcs	ghcs	PROPN
ejpam-5788	89	8	has	have	AUX
ejpam-5788	89	9	recently	recently	ADV
ejpam-5788	89	10	been	be	AUX
ejpam-5788	89	11	offered	offer	VERB
ejpam-5788	89	12	,	,	PUNCT
ejpam-5788	89	13	including	include	VERB
ejpam-5788	89	14	refs.[25],[26],[27	refs.[25],[26],[27	NOUN
ejpam-5788	89	15	]	]	PUNCT
ejpam-5788	89	16	,	,	PUNCT
ejpam-5788	90	1	[	[	X
ejpam-5788	90	2	28	28	NUM
ejpam-5788	90	3	]	]	PUNCT
ejpam-5788	90	4	and	and	CCONJ
ejpam-5788	90	5	,	,	PUNCT
ejpam-5788	90	6	[	[	X
ejpam-5788	90	7	29	29	NUM
ejpam-5788	90	8	]	]	PUNCT
ejpam-5788	90	9	.	.	PUNCT
ejpam-5788	91	1	the	the	DET
ejpam-5788	91	2	purpose	purpose	NOUN
ejpam-5788	91	3	of	of	ADP
ejpam-5788	91	4	this	this	DET
ejpam-5788	91	5	article	article	NOUN
ejpam-5788	91	6	is	be	AUX
ejpam-5788	91	7	parameters	parameter	NOUN
ejpam-5788	91	8	estimation	estimation	NOUN
ejpam-5788	91	9	of	of	ADP
ejpam-5788	91	10	the	the	DET
ejpam-5788	91	11	npt	npt	PROPN
ejpam-5788	91	12	distribution	distribution	NOUN
ejpam-5788	91	13	based	base	VERB
ejpam-5788	91	14	on	on	ADP
ejpam-5788	91	15	a	a	DET
ejpam-5788	91	16	partially	partially	ADV
ejpam-5788	91	17	constant	constant	ADJ
ejpam-5788	91	18	-	-	PUNCT
ejpam-5788	91	19	stress	stress	NOUN
ejpam-5788	91	20	alt	alt	NOUN
ejpam-5788	91	21	under	under	ADP
ejpam-5788	91	22	type	type	NOUN
ejpam-5788	91	23	-	-	PUNCT
ejpam-5788	91	24	i	i	PRON
ejpam-5788	91	25	ghcs	ghcs	VERB
ejpam-5788	91	26	.	.	PUNCT
ejpam-5788	92	1	maximum	maximum	ADJ
ejpam-5788	92	2	likelihood	likelihood	NOUN
ejpam-5788	92	3	(	(	PUNCT
ejpam-5788	92	4	ml	ml	VERB
ejpam-5788	92	5	)	)	PUNCT
ejpam-5788	92	6	and	and	CCONJ
ejpam-5788	92	7	bayesian	bayesian	NOUN
ejpam-5788	92	8	methods	method	NOUN
ejpam-5788	92	9	will	will	AUX
ejpam-5788	92	10	be	be	AUX
ejpam-5788	92	11	used	use	VERB
ejpam-5788	92	12	to	to	PART
ejpam-5788	92	13	estimate	estimate	VERB
ejpam-5788	92	14	the	the	DET
ejpam-5788	92	15	parameters	parameter	NOUN
ejpam-5788	92	16	of	of	ADP
ejpam-5788	92	17	the	the	DET
ejpam-5788	92	18	npt	npt	PROPN
ejpam-5788	92	19	distribution	distribution	NOUN
ejpam-5788	92	20	.	.	PUNCT
ejpam-5788	93	1	the	the	DET
ejpam-5788	93	2	newton	newton	PROPN
ejpam-5788	93	3	-	-	PUNCT
ejpam-5788	93	4	raphson	raphson	NOUN
ejpam-5788	93	5	(	(	PUNCT
ejpam-5788	93	6	nr	nr	NOUN
ejpam-5788	93	7	)	)	PUNCT
ejpam-5788	93	8	and	and	CCONJ
ejpam-5788	93	9	em	em	PRON
ejpam-5788	93	10	algorithms	algorithm	NOUN
ejpam-5788	93	11	are	be	AUX
ejpam-5788	93	12	developed	develop	VERB
ejpam-5788	93	13	and	and	CCONJ
ejpam-5788	93	14	described	describe	VERB
ejpam-5788	93	15	in	in	ADP
ejpam-5788	93	16	detail	detail	NOUN
ejpam-5788	93	17	when	when	SCONJ
ejpam-5788	93	18	constructing	construct	VERB
ejpam-5788	93	19	maximum	maximum	ADJ
ejpam-5788	93	20	likelihood	likelihood	NOUN
ejpam-5788	93	21	estimates	estimate	NOUN
ejpam-5788	93	22	(	(	PUNCT
ejpam-5788	93	23	mles	mle	NOUN
ejpam-5788	93	24	)	)	PUNCT
ejpam-5788	93	25	and	and	CCONJ
ejpam-5788	93	26	their	their	PRON
ejpam-5788	93	27	corresponding	correspond	VERB
ejpam-5788	93	28	confidence	confidence	NOUN
ejpam-5788	93	29	intervals	interval	NOUN
ejpam-5788	93	30	.	.	PUNCT
ejpam-5788	94	1	when	when	SCONJ
ejpam-5788	94	2	the	the	DET
ejpam-5788	94	3	bayes	bayes	PROPN
ejpam-5788	94	4	approach	approach	NOUN
ejpam-5788	94	5	is	be	AUX
ejpam-5788	94	6	applied	apply	VERB
ejpam-5788	94	7	,	,	PUNCT
ejpam-5788	94	8	the	the	DET
ejpam-5788	94	9	posterior	posterior	ADJ
ejpam-5788	94	10	distribution	distribution	NOUN
ejpam-5788	94	11	and	and	CCONJ
ejpam-5788	94	12	a.	a.	NOUN
ejpam-5788	94	13	a.	a.	PROPN
ejpam-5788	94	14	soliman	soliman	PROPN
ejpam-5788	94	15	et	et	PROPN
ejpam-5788	94	16	al	al	PROPN
ejpam-5788	94	17	.	.	PUNCT
ejpam-5788	94	18	/	/	SYM
ejpam-5788	94	19	eur	eur	PROPN
ejpam-5788	94	20	.	.	PUNCT
ejpam-5788	95	1	j.	j.	PROPN
ejpam-5788	95	2	pure	pure	PROPN
ejpam-5788	95	3	appl	appl	PROPN
ejpam-5788	95	4	.	.	PROPN
ejpam-5788	95	5	math	math	PROPN
ejpam-5788	95	6	,	,	PUNCT
ejpam-5788	95	7	18	18	NUM
ejpam-5788	95	8	(	(	PUNCT
ejpam-5788	95	9	2	2	NUM
ejpam-5788	95	10	)	)	PUNCT
ejpam-5788	95	11	(	(	PUNCT
ejpam-5788	95	12	2025	2025	NUM
ejpam-5788	95	13	)	)	PUNCT
ejpam-5788	95	14	,	,	PUNCT
ejpam-5788	95	15	5788	5788	NUM
ejpam-5788	95	16	5	5	NUM
ejpam-5788	95	17	of	of	ADP
ejpam-5788	95	18	34	34	NUM
ejpam-5788	95	19	the	the	DET
ejpam-5788	95	20	corresponding	correspond	VERB
ejpam-5788	95	21	bayes	bayes	PROPN
ejpam-5788	95	22	estimate	estimate	VERB
ejpam-5788	95	23	often	often	ADV
ejpam-5788	95	24	require	require	VERB
ejpam-5788	95	25	computing	computing	NOUN
ejpam-5788	95	26	integrals	integral	NOUN
ejpam-5788	95	27	,	,	PUNCT
ejpam-5788	95	28	which	which	PRON
ejpam-5788	95	29	can	can	AUX
ejpam-5788	95	30	be	be	AUX
ejpam-5788	95	31	difficult	difficult	ADJ
ejpam-5788	95	32	,	,	PUNCT
ejpam-5788	95	33	especially	especially	ADV
ejpam-5788	95	34	when	when	SCONJ
ejpam-5788	95	35	using	use	VERB
ejpam-5788	95	36	complex	complex	ADJ
ejpam-5788	95	37	highor	highor	NOUN
ejpam-5788	95	38	low	low	ADV
ejpam-5788	95	39	-	-	PUNCT
ejpam-5788	95	40	dimensional	dimensional	ADJ
ejpam-5788	95	41	models	model	NOUN
ejpam-5788	95	42	.	.	PUNCT
ejpam-5788	96	1	we	we	PRON
ejpam-5788	96	2	applied	apply	VERB
ejpam-5788	96	3	the	the	DET
ejpam-5788	96	4	mcmc	mcmc	PROPN
ejpam-5788	96	5	method	method	NOUN
ejpam-5788	96	6	to	to	PART
ejpam-5788	96	7	estimate	estimate	VERB
ejpam-5788	96	8	the	the	DET
ejpam-5788	96	9	unknown	unknown	ADJ
ejpam-5788	96	10	parameters	parameter	NOUN
ejpam-5788	96	11	under	under	ADP
ejpam-5788	96	12	squared	square	VERB
ejpam-5788	96	13	error	error	NOUN
ejpam-5788	96	14	loss	loss	NOUN
ejpam-5788	96	15	function	function	NOUN
ejpam-5788	96	16	with	with	ADP
ejpam-5788	96	17	dependent	dependent	ADJ
ejpam-5788	96	18	priors	prior	NOUN
ejpam-5788	96	19	for	for	ADP
ejpam-5788	96	20	the	the	DET
ejpam-5788	96	21	parameters	parameter	NOUN
ejpam-5788	96	22	.	.	PUNCT
ejpam-5788	97	1	the	the	DET
ejpam-5788	97	2	gibbs	gibbs	PROPN
ejpam-5788	97	3	within	within	ADP
ejpam-5788	97	4	metropolis	metropolis	PROPN
ejpam-5788	97	5	samples	sample	NOUN
ejpam-5788	97	6	can	can	AUX
ejpam-5788	97	7	be	be	AUX
ejpam-5788	97	8	used	use	VERB
ejpam-5788	97	9	to	to	PART
ejpam-5788	97	10	produce	produce	VERB
ejpam-5788	97	11	samples	sample	NOUN
ejpam-5788	97	12	from	from	ADP
ejpam-5788	97	13	posterior	posterior	ADJ
ejpam-5788	97	14	distributions	distribution	NOUN
ejpam-5788	97	15	using	use	VERB
ejpam-5788	97	16	various	various	ADJ
ejpam-5788	97	17	mcmc	mcmc	PROPN
ejpam-5788	97	18	algorithms	algorithm	NOUN
ejpam-5788	97	19	.	.	PUNCT
ejpam-5788	98	1	extensive	extensive	ADJ
ejpam-5788	98	2	computer	computer	NOUN
ejpam-5788	98	3	studies	study	NOUN
ejpam-5788	98	4	can	can	AUX
ejpam-5788	98	5	be	be	AUX
ejpam-5788	98	6	used	use	VERB
ejpam-5788	98	7	to	to	PART
ejpam-5788	98	8	compare	compare	VERB
ejpam-5788	98	9	the	the	DET
ejpam-5788	98	10	performance	performance	NOUN
ejpam-5788	98	11	of	of	ADP
ejpam-5788	98	12	bayes	bayes	NOUN
ejpam-5788	98	13	estimators	estimator	NOUN
ejpam-5788	98	14	against	against	ADP
ejpam-5788	98	15	that	that	PRON
ejpam-5788	98	16	of	of	ADP
ejpam-5788	98	17	classical	classical	ADJ
ejpam-5788	98	18	mles	mle	NOUN
ejpam-5788	98	19	.	.	PUNCT
ejpam-5788	99	1	using	use	VERB
ejpam-5788	99	2	the	the	DET
ejpam-5788	99	3	nr	nr	PROPN
ejpam-5788	99	4	,	,	PUNCT
ejpam-5788	99	5	em	em	PRON
ejpam-5788	99	6	,	,	PUNCT
ejpam-5788	99	7	and	and	CCONJ
ejpam-5788	99	8	mcmc	mcmc	PROPN
ejpam-5788	99	9	algorithms	algorithms	PROPN
ejpam-5788	99	10	,	,	PUNCT
ejpam-5788	99	11	approximate	approximate	VERB
ejpam-5788	99	12	95	95	NUM
ejpam-5788	99	13	%	%	NOUN
ejpam-5788	99	14	confidence	confidence	NOUN
ejpam-5788	99	15	intervals	interval	NOUN
ejpam-5788	99	16	for	for	ADP
ejpam-5788	99	17	unknown	unknown	ADJ
ejpam-5788	99	18	parameters	parameter	NOUN
ejpam-5788	99	19	can	can	AUX
ejpam-5788	99	20	be	be	AUX
ejpam-5788	99	21	generated	generate	VERB
ejpam-5788	99	22	.	.	PUNCT
ejpam-5788	100	1	we	we	PRON
ejpam-5788	100	2	will	will	AUX
ejpam-5788	100	3	also	also	ADV
ejpam-5788	100	4	compare	compare	VERB
ejpam-5788	100	5	them	they	PRON
ejpam-5788	100	6	based	base	VERB
ejpam-5788	100	7	on	on	ADP
ejpam-5788	100	8	their	their	PRON
ejpam-5788	100	9	average	average	ADJ
ejpam-5788	100	10	lengths	length	NOUN
ejpam-5788	100	11	and	and	CCONJ
ejpam-5788	100	12	coverage	coverage	NOUN
ejpam-5788	100	13	probability	probability	NOUN
ejpam-5788	100	14	.	.	PUNCT
ejpam-5788	101	1	this	this	DET
ejpam-5788	101	2	article	article	NOUN
ejpam-5788	101	3	is	be	AUX
ejpam-5788	101	4	structured	structure	VERB
ejpam-5788	101	5	as	as	SCONJ
ejpam-5788	101	6	follows	follow	VERB
ejpam-5788	101	7	:	:	PUNCT
ejpam-5788	101	8	in	in	ADP
ejpam-5788	101	9	section	section	NOUN
ejpam-5788	101	10	(	(	PUNCT
ejpam-5788	101	11	2	2	NUM
ejpam-5788	101	12	)	)	PUNCT
ejpam-5788	101	13	,	,	PUNCT
ejpam-5788	101	14	the	the	DET
ejpam-5788	101	15	proposed	propose	VERB
ejpam-5788	101	16	model	model	NOUN
ejpam-5788	101	17	and	and	CCONJ
ejpam-5788	101	18	its	its	PRON
ejpam-5788	101	19	fundamental	fundamental	ADJ
ejpam-5788	101	20	assumptions	assumption	NOUN
ejpam-5788	101	21	are	be	AUX
ejpam-5788	101	22	discussed	discuss	VERB
ejpam-5788	101	23	.	.	PUNCT
ejpam-5788	102	1	section	section	NOUN
ejpam-5788	102	2	(	(	PUNCT
ejpam-5788	102	3	2	2	NUM
ejpam-5788	102	4	)	)	PUNCT
ejpam-5788	102	5	,	,	PUNCT
ejpam-5788	102	6	we	we	PRON
ejpam-5788	102	7	display	display	VERB
ejpam-5788	102	8	the	the	DET
ejpam-5788	102	9	point	point	NOUN
ejpam-5788	102	10	estimate	estimate	NOUN
ejpam-5788	102	11	with	with	ADP
ejpam-5788	102	12	,	,	PUNCT
ejpam-5788	102	13	maximum	maximum	ADJ
ejpam-5788	102	14	likelihood	likelihood	NOUN
ejpam-5788	102	15	estimation	estimation	NOUN
ejpam-5788	102	16	by	by	ADP
ejpam-5788	102	17	using	use	VERB
ejpam-5788	102	18	newton	newton	PROPN
ejpam-5788	102	19	-	-	PUNCT
ejpam-5788	102	20	raphson	raphson	NOUN
ejpam-5788	102	21	and	and	CCONJ
ejpam-5788	102	22	expectation	expectation	NOUN
ejpam-5788	102	23	maximization	maximization	NOUN
ejpam-5788	102	24	method	method	NOUN
ejpam-5788	102	25	and	and	CCONJ
ejpam-5788	102	26	bayesian	bayesian	NOUN
ejpam-5788	102	27	estimates	estimate	NOUN
ejpam-5788	102	28	with	with	ADP
ejpam-5788	102	29	the	the	DET
ejpam-5788	102	30	help	help	NOUN
ejpam-5788	102	31	of	of	ADP
ejpam-5788	102	32	mcmc	mcmc	PROPN
ejpam-5788	102	33	method	method	PROPN
ejpam-5788	102	34	.	.	PUNCT
ejpam-5788	103	1	section	section	NOUN
ejpam-5788	103	2	(	(	PUNCT
ejpam-5788	103	3	2	2	NUM
ejpam-5788	103	4	)	)	PUNCT
ejpam-5788	103	5	deals	deal	NOUN
ejpam-5788	103	6	with	with	ADP
ejpam-5788	103	7	interval	interval	NOUN
ejpam-5788	103	8	estimates	estimate	NOUN
ejpam-5788	103	9	.	.	PUNCT
ejpam-5788	104	1	approximate	approximate	ADJ
ejpam-5788	104	2	confidence	confidence	NOUN
ejpam-5788	104	3	intervals	interval	NOUN
ejpam-5788	104	4	,	,	PUNCT
ejpam-5788	104	5	bootstrap	bootstrap	NOUN
ejpam-5788	104	6	confidence	confidence	NOUN
ejpam-5788	104	7	intervals	interval	NOUN
ejpam-5788	104	8	,	,	PUNCT
ejpam-5788	104	9	and	and	CCONJ
ejpam-5788	104	10	credible	credible	ADJ
ejpam-5788	104	11	intervals	interval	NOUN
ejpam-5788	104	12	for	for	ADP
ejpam-5788	104	13	the	the	DET
ejpam-5788	104	14	unknown	unknown	ADJ
ejpam-5788	104	15	parameters	parameter	NOUN
ejpam-5788	104	16	are	be	AUX
ejpam-5788	104	17	also	also	ADV
ejpam-5788	104	18	constructed	construct	VERB
ejpam-5788	104	19	.	.	PUNCT
ejpam-5788	105	1	the	the	DET
ejpam-5788	105	2	findings	finding	NOUN
ejpam-5788	105	3	of	of	ADP
ejpam-5788	105	4	the	the	DET
ejpam-5788	105	5	simulation	simulation	NOUN
ejpam-5788	105	6	investigation	investigation	NOUN
ejpam-5788	105	7	are	be	AUX
ejpam-5788	105	8	outlined	outline	VERB
ejpam-5788	105	9	in	in	ADP
ejpam-5788	105	10	section	section	NOUN
ejpam-5788	105	11	(	(	PUNCT
ejpam-5788	105	12	3	3	NUM
ejpam-5788	105	13	)	)	PUNCT
ejpam-5788	105	14	.	.	PUNCT
ejpam-5788	106	1	a	a	DET
ejpam-5788	106	2	real	real	ADJ
ejpam-5788	106	3	-	-	PUNCT
ejpam-5788	106	4	life	life	NOUN
ejpam-5788	106	5	example	example	NOUN
ejpam-5788	106	6	and	and	CCONJ
ejpam-5788	106	7	the	the	DET
ejpam-5788	106	8	simulated	simulated	ADJ
ejpam-5788	106	9	example	example	NOUN
ejpam-5788	106	10	are	be	AUX
ejpam-5788	106	11	presented	present	VERB
ejpam-5788	106	12	and	and	CCONJ
ejpam-5788	106	13	discussed	discuss	VERB
ejpam-5788	106	14	in	in	ADP
ejpam-5788	106	15	section	section	NOUN
ejpam-5788	106	16	(	(	PUNCT
ejpam-5788	106	17	3	3	NUM
ejpam-5788	106	18	)	)	PUNCT
ejpam-5788	106	19	.	.	PUNCT
ejpam-5788	107	1	finally	finally	ADV
ejpam-5788	107	2	,	,	PUNCT
ejpam-5788	107	3	some	some	DET
ejpam-5788	107	4	concluding	conclude	VERB
ejpam-5788	107	5	remarks	remark	NOUN
ejpam-5788	107	6	are	be	AUX
ejpam-5788	107	7	given	give	VERB
ejpam-5788	107	8	in	in	ADP
ejpam-5788	107	9	section	section	NOUN
ejpam-5788	107	10	(	(	PUNCT
ejpam-5788	107	11	4	4	NUM
ejpam-5788	107	12	)	)	PUNCT
ejpam-5788	107	13	.	.	PUNCT
ejpam-5788	108	1	2	2	X
ejpam-5788	108	2	.	.	X
ejpam-5788	108	3	methodology	methodology	NOUN
ejpam-5788	108	4	in	in	ADP
ejpam-5788	108	5	this	this	DET
ejpam-5788	108	6	particular	particular	ADJ
ejpam-5788	108	7	instance	instance	NOUN
ejpam-5788	108	8	,	,	PUNCT
ejpam-5788	108	9	unit	unit	NOUN
ejpam-5788	108	10	lifetime	lifetime	NOUN
ejpam-5788	108	11	has	have	VERB
ejpam-5788	108	12	npt	npt	PROPN
ejpam-5788	108	13	distribution	distribution	NOUN
ejpam-5788	108	14	in	in	ADP
ejpam-5788	108	15	the	the	DET
ejpam-5788	108	16	model	model	NOUN
ejpam-5788	108	17	that	that	PRON
ejpam-5788	108	18	is	be	AUX
ejpam-5788	108	19	being	be	AUX
ejpam-5788	108	20	developed	develop	VERB
ejpam-5788	108	21	.	.	PUNCT
ejpam-5788	109	1	the	the	DET
ejpam-5788	109	2	point	point	NOUN
ejpam-5788	109	3	estimates	estimate	NOUN
ejpam-5788	109	4	of	of	ADP
ejpam-5788	109	5	parameters	parameter	NOUN
ejpam-5788	109	6	are	be	AUX
ejpam-5788	109	7	created	create	VERB
ejpam-5788	109	8	using	use	VERB
ejpam-5788	109	9	the	the	DET
ejpam-5788	109	10	bayesian	bayesian	NOUN
ejpam-5788	109	11	,	,	PUNCT
ejpam-5788	109	12	em	em	PRON
ejpam-5788	109	13	algorithm	algorithm	NOUN
ejpam-5788	109	14	and	and	CCONJ
ejpam-5788	109	15	mle	mle	PROPN
ejpam-5788	109	16	approaches	approach	NOUN
ejpam-5788	109	17	.	.	PUNCT
ejpam-5788	110	1	additionally	additionally	ADV
ejpam-5788	110	2	,	,	PUNCT
ejpam-5788	110	3	interval	interval	NOUN
ejpam-5788	110	4	estimators	estimator	NOUN
ejpam-5788	110	5	are	be	AUX
ejpam-5788	110	6	developed	develop	VERB
ejpam-5788	110	7	using	use	VERB
ejpam-5788	110	8	bootstrap	bootstrap	NOUN
ejpam-5788	110	9	methods	method	NOUN
ejpam-5788	110	10	,	,	PUNCT
ejpam-5788	110	11	hpd	hpd	PROPN
ejpam-5788	110	12	credible	credible	ADJ
ejpam-5788	110	13	intervals	interval	NOUN
ejpam-5788	110	14	,	,	PUNCT
ejpam-5788	110	15	and	and	CCONJ
ejpam-5788	110	16	the	the	DET
ejpam-5788	110	17	asymptotic	asymptotic	ADJ
ejpam-5788	110	18	property	property	NOUN
ejpam-5788	110	19	of	of	ADP
ejpam-5788	110	20	mles	mle	NOUN
ejpam-5788	110	21	.	.	PUNCT
ejpam-5788	111	1	2.1	2.1	NUM
ejpam-5788	111	2	.	.	PUNCT
ejpam-5788	112	1	modeling	modeling	NOUN
ejpam-5788	112	2	suppose	suppose	VERB
ejpam-5788	112	3	in	in	ADP
ejpam-5788	112	4	a	a	DET
ejpam-5788	112	5	partially	partially	ADV
ejpam-5788	112	6	constant	constant	ADJ
ejpam-5788	112	7	-	-	PUNCT
ejpam-5788	112	8	stress	stress	NOUN
ejpam-5788	112	9	alt	alt	NOUN
ejpam-5788	112	10	model	model	NOUN
ejpam-5788	112	11	under	under	ADP
ejpam-5788	112	12	type	type	NOUN
ejpam-5788	112	13	-	-	PUNCT
ejpam-5788	112	14	i	i	PRON
ejpam-5788	112	15	ghcs	ghcs	VERB
ejpam-5788	112	16	,	,	PUNCT
ejpam-5788	112	17	n	n	PRON
ejpam-5788	112	18	indicates	indicate	VERB
ejpam-5788	112	19	that	that	SCONJ
ejpam-5788	112	20	items	item	NOUN
ejpam-5788	112	21	are	be	AUX
ejpam-5788	112	22	separated	separate	VERB
ejpam-5788	112	23	into	into	ADP
ejpam-5788	112	24	two	two	NUM
ejpam-5788	112	25	groups	group	NOUN
ejpam-5788	112	26	with	with	ADP
ejpam-5788	112	27	sizes	size	NOUN
ejpam-5788	112	28	n1	n1	PROPN
ejpam-5788	112	29	and	and	CCONJ
ejpam-5788	112	30	n2	n2	ADJ
ejpam-5788	112	31	=	=	SYM
ejpam-5788	112	32	n	n	CCONJ
ejpam-5788	112	33	−	−	PROPN
ejpam-5788	112	34	n1	n1	NOUN
ejpam-5788	112	35	.	.	PUNCT
ejpam-5788	113	1	the	the	DET
ejpam-5788	113	2	normal	normal	ADJ
ejpam-5788	113	3	condition	condition	NOUN
ejpam-5788	113	4	is	be	AUX
ejpam-5788	113	5	assigned	assign	VERB
ejpam-5788	113	6	to	to	ADP
ejpam-5788	113	7	items	item	NOUN
ejpam-5788	113	8	n1	n1	PROPN
ejpam-5788	113	9	,	,	PUNCT
ejpam-5788	113	10	and	and	CCONJ
ejpam-5788	113	11	the	the	DET
ejpam-5788	113	12	stress	stress	NOUN
ejpam-5788	113	13	condition	condition	NOUN
ejpam-5788	113	14	is	be	AUX
ejpam-5788	113	15	assigned	assign	VERB
ejpam-5788	113	16	to	to	ADP
ejpam-5788	113	17	items	item	NOUN
ejpam-5788	113	18	n2	n2	ADJ
ejpam-5788	113	19	.	.	PUNCT
ejpam-5788	114	1	the	the	DET
ejpam-5788	114	2	hazard	hazard	NOUN
ejpam-5788	114	3	failure	failure	NOUN
ejpam-5788	114	4	rate	rate	NOUN
ejpam-5788	114	5	of	of	ADP
ejpam-5788	114	6	an	an	DET
ejpam-5788	114	7	item	item	NOUN
ejpam-5788	114	8	under	under	ADP
ejpam-5788	114	9	the	the	DET
ejpam-5788	114	10	stress	stress	NOUN
ejpam-5788	114	11	condition	condition	NOUN
ejpam-5788	114	12	is	be	AUX
ejpam-5788	114	13	given	give	VERB
ejpam-5788	114	14	by	by	ADP
ejpam-5788	114	15	h2(x	h2(x	PRON
ejpam-5788	114	16	)	)	PUNCT
ejpam-5788	114	17	=	=	SYM
ejpam-5788	114	18	λh1(x	λh1(x	PROPN
ejpam-5788	114	19	)	)	PUNCT
ejpam-5788	114	20	,	,	PUNCT
ejpam-5788	114	21	where	where	SCONJ
ejpam-5788	114	22	h1(x	h1(x	NOUN
ejpam-5788	114	23	)	)	PUNCT
ejpam-5788	114	24	is	be	AUX
ejpam-5788	114	25	the	the	DET
ejpam-5788	114	26	fr	fr	PROPN
ejpam-5788	114	27	function	function	NOUN
ejpam-5788	114	28	under	under	ADP
ejpam-5788	114	29	normal	normal	ADJ
ejpam-5788	114	30	conditions	condition	NOUN
ejpam-5788	114	31	,	,	PUNCT
ejpam-5788	114	32	and	and	CCONJ
ejpam-5788	114	33	λ	λ	X
ejpam-5788	114	34	>	>	X
ejpam-5788	114	35	1	1	NUM
ejpam-5788	114	36	is	be	AUX
ejpam-5788	114	37	the	the	DET
ejpam-5788	114	38	acceleration	acceleration	NOUN
ejpam-5788	114	39	factor	factor	NOUN
ejpam-5788	114	40	.	.	PUNCT
ejpam-5788	115	1	suppose	suppose	VERB
ejpam-5788	115	2	that	that	SCONJ
ejpam-5788	115	3	the	the	DET
ejpam-5788	115	4	lifetime	lifetime	NOUN
ejpam-5788	115	5	of	of	ADP
ejpam-5788	115	6	an	an	DET
ejpam-5788	115	7	item	item	NOUN
ejpam-5788	115	8	follows	follow	VERB
ejpam-5788	115	9	the	the	DET
ejpam-5788	115	10	two	two	NUM
ejpam-5788	115	11	-	-	PUNCT
ejpam-5788	115	12	parameter	parameter	NOUN
ejpam-5788	115	13	npt	npt	PROPN
ejpam-5788	115	14	distribution	distribution	NOUN
ejpam-5788	115	15	.	.	PUNCT
ejpam-5788	116	1	as	as	ADP
ejpam-5788	116	2	a	a	DET
ejpam-5788	116	3	result	result	NOUN
ejpam-5788	116	4	of	of	ADP
ejpam-5788	116	5	eq.(1	eq.(1	ADJ
ejpam-5788	116	6	)	)	PUNCT
ejpam-5788	116	7	,	,	PUNCT
ejpam-5788	116	8	the	the	DET
ejpam-5788	116	9	pdf	pdf	NOUN
ejpam-5788	116	10	,	,	PUNCT
ejpam-5788	116	11	cdf	cdf	PROPN
ejpam-5788	116	12	,	,	PUNCT
ejpam-5788	116	13	and	and	CCONJ
ejpam-5788	116	14	fr	fr	ADJ
ejpam-5788	116	15	function	function	NOUN
ejpam-5788	116	16	of	of	ADP
ejpam-5788	116	17	the	the	DET
ejpam-5788	116	18	lifetime	lifetime	NOUN
ejpam-5788	116	19	x	x	X
ejpam-5788	116	20	under	under	ADP
ejpam-5788	116	21	accelerated	accelerated	ADJ
ejpam-5788	116	22	conditions	condition	NOUN
ejpam-5788	116	23	are	be	AUX
ejpam-5788	116	24	given	give	VERB
ejpam-5788	116	25	respectively	respectively	ADV
ejpam-5788	116	26	by	by	ADP
ejpam-5788	116	27	;	;	PUNCT
ejpam-5788	116	28	f2(x	f2(x	X
ejpam-5788	116	29	)	)	PUNCT
ejpam-5788	116	30	=	=	SYM
ejpam-5788	116	31	2λθλσθλxθ−1	2λθλσθλxθ−1	NUM
ejpam-5788	116	32	(	(	PUNCT
ejpam-5788	116	33	xθ	xθ	PROPN
ejpam-5788	116	34	+	+	CCONJ
ejpam-5788	116	35	σθ)1+λ	σθ)1+λ	NOUN
ejpam-5788	116	36	;	;	PUNCT
ejpam-5788	116	37	x	x	X
ejpam-5788	116	38	≥	≥	NOUN
ejpam-5788	116	39	σ	σ	NUM
ejpam-5788	116	40	f2(x	f2(x	PROPN
ejpam-5788	116	41	)	)	PUNCT
ejpam-5788	116	42	=	=	SYM
ejpam-5788	116	43	1−	1−	NUM
ejpam-5788	116	44	2λσθλ	2λσθλ	NUM
ejpam-5788	116	45	(	(	PUNCT
ejpam-5788	116	46	xθ	xθ	PROPN
ejpam-5788	116	47	+	+	CCONJ
ejpam-5788	116	48	σθ)λ	σθ)λ	PROPN
ejpam-5788	116	49	h2(x	h2(x	PROPN
ejpam-5788	116	50	)	)	PUNCT
ejpam-5788	116	51	=	=	SYM
ejpam-5788	117	1	θλxθ−1	θλxθ−1	NOUN
ejpam-5788	117	2	xθ	xθ	PROPN
ejpam-5788	118	1	+	+	CCONJ
ejpam-5788	118	2	σθ	σθ	INTJ
ejpam-5788	118	3	.	.	PUNCT
ejpam-5788	119	1	(	(	PUNCT
ejpam-5788	119	2	2	2	X
ejpam-5788	119	3	)	)	PUNCT
ejpam-5788	119	4	a.	a.	NOUN
ejpam-5788	119	5	a.	a.	PROPN
ejpam-5788	119	6	soliman	soliman	PROPN
ejpam-5788	119	7	et	et	PROPN
ejpam-5788	119	8	al	al	PROPN
ejpam-5788	119	9	.	.	PUNCT
ejpam-5788	119	10	/	/	SYM
ejpam-5788	119	11	eur	eur	PROPN
ejpam-5788	119	12	.	.	PUNCT
ejpam-5788	120	1	j.	j.	PROPN
ejpam-5788	120	2	pure	pure	PROPN
ejpam-5788	120	3	appl	appl	PROPN
ejpam-5788	120	4	.	.	PROPN
ejpam-5788	120	5	math	math	PROPN
ejpam-5788	120	6	,	,	PUNCT
ejpam-5788	120	7	18	18	NUM
ejpam-5788	120	8	(	(	PUNCT
ejpam-5788	120	9	2	2	NUM
ejpam-5788	120	10	)	)	PUNCT
ejpam-5788	120	11	(	(	PUNCT
ejpam-5788	120	12	2025	2025	NUM
ejpam-5788	120	13	)	)	PUNCT
ejpam-5788	120	14	,	,	PUNCT
ejpam-5788	120	15	5788	5788	NUM
ejpam-5788	120	16	6	6	NUM
ejpam-5788	120	17	of	of	ADP
ejpam-5788	120	18	34	34	NUM
ejpam-5788	120	19	let	let	VERB
ejpam-5788	120	20	,	,	PUNCT
ejpam-5788	120	21	xj	xj	PROPN
ejpam-5788	120	22	=	=	SYM
ejpam-5788	120	23	{	{	PUNCT
ejpam-5788	120	24	xj1	xj1	PROPN
ejpam-5788	120	25	,	,	PUNCT
ejpam-5788	120	26	.	.	PUNCT
ejpam-5788	120	27	.	.	PUNCT
ejpam-5788	120	28	.	.	PUNCT
ejpam-5788	121	1	,	,	PUNCT
ejpam-5788	121	2	xjdj	xjdj	PROPN
ejpam-5788	121	3	}	}	PUNCT
ejpam-5788	121	4	,	,	PUNCT
ejpam-5788	121	5	j	j	PROPN
ejpam-5788	121	6	=	=	SYM
ejpam-5788	121	7	1	1	NUM
ejpam-5788	121	8	,	,	PUNCT
ejpam-5788	121	9	2	2	NUM
ejpam-5788	121	10	,	,	PUNCT
ejpam-5788	121	11	and	and	CCONJ
ejpam-5788	121	12	x	x	X
ejpam-5788	121	13	=	=	SYM
ejpam-5788	121	14	{	{	PUNCT
ejpam-5788	121	15	x1	x1	PROPN
ejpam-5788	121	16	,	,	PUNCT
ejpam-5788	121	17	x2	x2	PROPN
ejpam-5788	121	18	}	}	PUNCT
ejpam-5788	121	19	,	,	PUNCT
ejpam-5788	121	20	be	be	AUX
ejpam-5788	121	21	the	the	DET
ejpam-5788	121	22	set	set	NOUN
ejpam-5788	121	23	of	of	ADP
ejpam-5788	121	24	data	datum	NOUN
ejpam-5788	121	25	under	under	ADP
ejpam-5788	121	26	normal	normal	ADJ
ejpam-5788	121	27	and	and	CCONJ
ejpam-5788	121	28	accelerate	accelerate	VERB
ejpam-5788	121	29	conditions	condition	NOUN
ejpam-5788	121	30	,	,	PUNCT
ejpam-5788	121	31	respectively	respectively	ADV
ejpam-5788	121	32	.	.	PUNCT
ejpam-5788	122	1	also	also	ADV
ejpam-5788	122	2	,	,	PUNCT
ejpam-5788	122	3	suppose	suppose	VERB
ejpam-5788	122	4	fixed	fix	VERB
ejpam-5788	122	5	integers	integer	NOUN
ejpam-5788	122	6	1	1	NUM
ejpam-5788	122	7	<	<	X
ejpam-5788	122	8	lj	lj	X
ejpam-5788	122	9	<	<	X
ejpam-5788	122	10	mj	mj	PROPN
ejpam-5788	122	11	<	<	X
ejpam-5788	122	12	nj	nj	PROPN
ejpam-5788	122	13	and	and	CCONJ
ejpam-5788	122	14	fixed	fix	VERB
ejpam-5788	122	15	time	time	NOUN
ejpam-5788	122	16	t	t	PROPN
ejpam-5788	122	17	∈	∈	PROPN
ejpam-5788	122	18	(	(	PUNCT
ejpam-5788	122	19	0,∞	0,∞	NUM
ejpam-5788	122	20	)	)	PUNCT
ejpam-5788	122	21	.	.	PUNCT
ejpam-5788	123	1	if	if	SCONJ
ejpam-5788	123	2	the	the	DET
ejpam-5788	123	3	lthj	lthj	NOUN
ejpam-5788	123	4	failure	failure	NOUN
ejpam-5788	123	5	occurs	occur	VERB
ejpam-5788	123	6	before	before	ADP
ejpam-5788	123	7	time	time	NOUN
ejpam-5788	123	8	t	t	PROPN
ejpam-5788	123	9	,	,	PUNCT
ejpam-5788	123	10	terminate	terminate	VERB
ejpam-5788	123	11	the	the	DET
ejpam-5788	123	12	experiment	experiment	NOUN
ejpam-5788	123	13	at	at	ADP
ejpam-5788	123	14	min{xmj	min{xmj	PROPN
ejpam-5788	123	15	:	:	PUNCT
ejpam-5788	123	16	nj	nj	PROPN
ejpam-5788	123	17	,	,	PUNCT
ejpam-5788	123	18	t	t	PROPN
ejpam-5788	123	19	}	}	PUNCT
ejpam-5788	123	20	.	.	PUNCT
ejpam-5788	124	1	if	if	SCONJ
ejpam-5788	124	2	the	the	DET
ejpam-5788	124	3	lthj	lthj	NOUN
ejpam-5788	124	4	failure	failure	NOUN
ejpam-5788	124	5	occurs	occur	VERB
ejpam-5788	124	6	after	after	ADP
ejpam-5788	124	7	time	time	NOUN
ejpam-5788	124	8	t	t	PROPN
ejpam-5788	124	9	,	,	PUNCT
ejpam-5788	124	10	terminate	terminate	VERB
ejpam-5788	124	11	the	the	DET
ejpam-5788	124	12	experiment	experiment	NOUN
ejpam-5788	124	13	at	at	ADP
ejpam-5788	124	14	xlj	xlj	PROPN
ejpam-5788	124	15	:	:	PUNCT
ejpam-5788	124	16	nj	nj	PROPN
ejpam-5788	124	17	.	.	PUNCT
ejpam-5788	125	1	under	under	ADP
ejpam-5788	125	2	this	this	DET
ejpam-5788	125	3	setting	setting	NOUN
ejpam-5788	125	4	,	,	PUNCT
ejpam-5788	125	5	the	the	DET
ejpam-5788	125	6	experimenter	experimenter	NOUN
ejpam-5788	125	7	would	would	AUX
ejpam-5788	125	8	ideally	ideally	ADV
ejpam-5788	125	9	like	like	VERB
ejpam-5788	125	10	to	to	PART
ejpam-5788	125	11	observe	observe	VERB
ejpam-5788	125	12	mj	mj	NOUN
ejpam-5788	125	13	failures	failure	NOUN
ejpam-5788	125	14	but	but	CCONJ
ejpam-5788	125	15	is	be	AUX
ejpam-5788	125	16	willing	willing	ADJ
ejpam-5788	125	17	to	to	PART
ejpam-5788	125	18	accept	accept	VERB
ejpam-5788	125	19	a	a	DET
ejpam-5788	125	20	bare	bare	ADJ
ejpam-5788	125	21	minimum	minimum	NOUN
ejpam-5788	125	22	of	of	ADP
ejpam-5788	125	23	lj	lj	ADJ
ejpam-5788	125	24	failures	failure	NOUN
ejpam-5788	125	25	.	.	PUNCT
ejpam-5788	126	1	the	the	DET
ejpam-5788	126	2	realization	realization	NOUN
ejpam-5788	126	3	of	of	ADP
ejpam-5788	126	4	the	the	DET
ejpam-5788	126	5	failure	failure	NOUN
ejpam-5788	126	6	time	time	NOUN
ejpam-5788	126	7	sample	sample	NOUN
ejpam-5788	126	8	can	can	AUX
ejpam-5788	126	9	be	be	AUX
ejpam-5788	126	10	presented	present	VERB
ejpam-5788	126	11	by	by	ADP
ejpam-5788	126	12	x(j1	x(j1	PROPN
ejpam-5788	126	13	)	)	PUNCT
ejpam-5788	126	14	≤	≤	NUM
ejpam-5788	126	15	x(j2	x(j2	PROPN
ejpam-5788	126	16	)	)	PUNCT
ejpam-5788	126	17	≤	≤	NOUN
ejpam-5788	126	18	·	·	PUNCT
ejpam-5788	126	19	·	·	PUNCT
ejpam-5788	126	20	·	·	PUNCT
ejpam-5788	127	1	≤	≤	NUM
ejpam-5788	127	2	x(jdj	x(jdj	NUM
ejpam-5788	127	3	)	)	PUNCT
ejpam-5788	127	4	,	,	PUNCT
ejpam-5788	127	5	dj	dj	NOUN
ejpam-5788	127	6	represents	represent	VERB
ejpam-5788	127	7	the	the	DET
ejpam-5788	127	8	number	number	NOUN
ejpam-5788	127	9	of	of	ADP
ejpam-5788	127	10	failures	failure	NOUN
ejpam-5788	127	11	before	before	ADP
ejpam-5788	127	12	time	time	NOUN
ejpam-5788	127	13	point	point	PROPN
ejpam-5788	127	14	t	t	PROPN
ejpam-5788	127	15	,	,	PUNCT
ejpam-5788	127	16	where	where	SCONJ
ejpam-5788	127	17	;	;	PUNCT
ejpam-5788	127	18	dj	dj	X
ejpam-5788	127	19	=	=	NOUN
ejpam-5788	127	20			NOUN
ejpam-5788	127	21	lj	lj	INTJ
ejpam-5788	127	22	if	if	SCONJ
ejpam-5788	127	23	xlj	xlj	PROPN
ejpam-5788	127	24	>	>	X
ejpam-5788	127	25	t	t	PROPN
ejpam-5788	127	26	d∗j	d∗j	NUM
ejpam-5788	128	1	if	if	SCONJ
ejpam-5788	128	2	xlj	xlj	PROPN
ejpam-5788	128	3	<	<	X
ejpam-5788	128	4	t	t	X
ejpam-5788	128	5	<	<	X
ejpam-5788	128	6	xmj	xmj	PROPN
ejpam-5788	128	7	mj	mj	INTJ
ejpam-5788	129	1	if	if	SCONJ
ejpam-5788	129	2	xmj	xmj	PROPN
ejpam-5788	129	3	<	<	X
ejpam-5788	129	4	t	t	X
ejpam-5788	129	5	moreover	moreover	ADV
ejpam-5788	129	6	,	,	PUNCT
ejpam-5788	129	7	let	let	VERB
ejpam-5788	129	8	cj	cj	PRON
ejpam-5788	129	9	denote	denote	VERB
ejpam-5788	129	10	the	the	DET
ejpam-5788	129	11	recorded	record	VERB
ejpam-5788	129	12	lifetimes	lifetime	NOUN
ejpam-5788	129	13	for	for	ADP
ejpam-5788	129	14	all	all	DET
ejpam-5788	129	15	survived	survive	VERB
ejpam-5788	129	16	components	component	NOUN
ejpam-5788	129	17	(	(	PUNCT
ejpam-5788	129	18	terminated	terminate	VERB
ejpam-5788	129	19	time	time	NOUN
ejpam-5788	129	20	)	)	PUNCT
ejpam-5788	129	21	,	,	PUNCT
ejpam-5788	129	22	then	then	ADV
ejpam-5788	129	23	cj	cj	PROPN
ejpam-5788	129	24	can	can	AUX
ejpam-5788	129	25	also	also	ADV
ejpam-5788	129	26	be	be	AUX
ejpam-5788	129	27	expressed	express	VERB
ejpam-5788	129	28	as	as	ADP
ejpam-5788	129	29	;	;	PUNCT
ejpam-5788	129	30	cj	cj	NOUN
ejpam-5788	130	1	=	=	PUNCT
ejpam-5788	131	1			PRON
ejpam-5788	131	2	xlj	xlj	ADV
ejpam-5788	132	1	if	if	SCONJ
ejpam-5788	132	2	xlj	xlj	PROPN
ejpam-5788	132	3	>	>	X
ejpam-5788	132	4	t	t	PROPN
ejpam-5788	132	5	t	t	PROPN
ejpam-5788	132	6	if	if	SCONJ
ejpam-5788	132	7	xlj	xlj	PROPN
ejpam-5788	132	8	<	<	X
ejpam-5788	132	9	t	t	X
ejpam-5788	132	10	<	<	X
ejpam-5788	132	11	xmj	xmj	X
ejpam-5788	132	12	xmj	xmj	INTJ
ejpam-5788	133	1	if	if	SCONJ
ejpam-5788	133	2	xmj	xmj	PROPN
ejpam-5788	133	3	<	<	X
ejpam-5788	133	4	t	t	NOUN
ejpam-5788	133	5	for	for	ADP
ejpam-5788	133	6	given	give	VERB
ejpam-5788	133	7	type	type	NOUN
ejpam-5788	133	8	-	-	PUNCT
ejpam-5788	133	9	i	i	NOUN
ejpam-5788	133	10	ghc	ghc	NOUN
ejpam-5788	133	11	sample	sample	NOUN
ejpam-5788	133	12	under	under	ADP
ejpam-5788	133	13	partially	partially	ADV
ejpam-5788	133	14	constant	constant	ADJ
ejpam-5788	133	15	-	-	PUNCT
ejpam-5788	133	16	stress	stress	NOUN
ejpam-5788	133	17	alt	alt	NOUN
ejpam-5788	133	18	,	,	PUNCT
ejpam-5788	133	19	xj	xj	X
ejpam-5788	133	20	=	=	SYM
ejpam-5788	133	21	{	{	PUNCT
ejpam-5788	133	22	xj1	xj1	PROPN
ejpam-5788	133	23	,	,	PUNCT
ejpam-5788	133	24	.	.	PUNCT
ejpam-5788	133	25	.	.	PUNCT
ejpam-5788	134	1	.	.	PUNCT
ejpam-5788	135	1	,	,	PUNCT
ejpam-5788	135	2	xjdj	xjdj	PROPN
ejpam-5788	135	3	}	}	PUNCT
ejpam-5788	135	4	,	,	PUNCT
ejpam-5788	135	5	j	j	PROPN
ejpam-5788	135	6	=	=	SYM
ejpam-5788	135	7	1	1	NUM
ejpam-5788	135	8	,	,	PUNCT
ejpam-5788	135	9	2	2	NUM
ejpam-5788	135	10	the	the	DET
ejpam-5788	135	11	joint	joint	ADJ
ejpam-5788	135	12	likelihood	likelihood	NOUN
ejpam-5788	135	13	function	function	NOUN
ejpam-5788	135	14	can	can	AUX
ejpam-5788	135	15	be	be	AUX
ejpam-5788	135	16	written	write	VERB
ejpam-5788	135	17	as	as	ADP
ejpam-5788	135	18	l(φ|x	l(φ|x	PROPN
ejpam-5788	135	19	)	)	PUNCT
ejpam-5788	136	1	=	=	SYM
ejpam-5788	137	1	2∏	2∏	NUM
ejpam-5788	137	2	j=1	j=1	NOUN
ejpam-5788	137	3	nj	nj	PROPN
ejpam-5788	137	4	!	!	PUNCT
ejpam-5788	138	1	(	(	PUNCT
ejpam-5788	138	2	nj	nj	PROPN
ejpam-5788	138	3	−dj	−dj	PROPN
ejpam-5788	138	4	)	)	PUNCT
ejpam-5788	138	5	!	!	PUNCT
ejpam-5788	139	1	(	(	PUNCT
ejpam-5788	139	2	1−	1−	NUM
ejpam-5788	139	3	fj(cj	fj(cj	PUNCT
ejpam-5788	140	1	|φ))−(dj−nj)e	|φ))−(dj−nj)e	PROPN
ejpam-5788	140	2	∑dj	∑dj	X
ejpam-5788	141	1	i=1	i=1	PROPN
ejpam-5788	141	2	log(fj(xi|φ	log(fj(xi|φ	PROPN
ejpam-5788	141	3	)	)	PUNCT
ejpam-5788	141	4	)	)	PUNCT
ejpam-5788	141	5	,	,	PUNCT
ejpam-5788	141	6	(	(	PUNCT
ejpam-5788	141	7	3	3	X
ejpam-5788	141	8	)	)	PUNCT
ejpam-5788	142	1	where	where	SCONJ
ejpam-5788	142	2	φ	φ	PROPN
ejpam-5788	142	3	=	=	SYM
ejpam-5788	142	4	{	{	PUNCT
ejpam-5788	142	5	θ	θ	PROPN
ejpam-5788	142	6	,	,	PUNCT
ejpam-5788	142	7	σ	σ	PROPN
ejpam-5788	142	8	,	,	PUNCT
ejpam-5788	142	9	λ	λ	NOUN
ejpam-5788	142	10	}	}	PUNCT
ejpam-5788	142	11	.	.	PUNCT
ejpam-5788	143	1	2.2	2.2	NUM
ejpam-5788	143	2	.	.	PUNCT
ejpam-5788	144	1	point	point	NOUN
ejpam-5788	144	2	estimation	estimation	NOUN
ejpam-5788	144	3	in	in	ADP
ejpam-5788	144	4	this	this	DET
ejpam-5788	144	5	subsection	subsection	NOUN
ejpam-5788	144	6	,	,	PUNCT
ejpam-5788	144	7	we	we	PRON
ejpam-5788	144	8	discuss	discuss	VERB
ejpam-5788	144	9	ml	ml	INTJ
ejpam-5788	144	10	and	and	CCONJ
ejpam-5788	144	11	bayes	bayes	PROPN
ejpam-5788	144	12	point	point	VERB
ejpam-5788	144	13	estimations	estimation	NOUN
ejpam-5788	144	14	under	under	ADP
ejpam-5788	144	15	accelerated	accelerate	VERB
ejpam-5788	144	16	typei	typei	PROPN
ejpam-5788	144	17	ghc	ghc	NOUN
ejpam-5788	144	18	sample	sample	NOUN
ejpam-5788	144	19	from	from	ADP
ejpam-5788	144	20	ntp	ntp	NOUN
ejpam-5788	144	21	distribution.in	distribution.in	PRON
ejpam-5788	144	22	the	the	DET
ejpam-5788	144	23	ml	ml	NOUN
ejpam-5788	144	24	approach	approach	NOUN
ejpam-5788	144	25	,	,	PUNCT
ejpam-5788	144	26	we	we	PRON
ejpam-5788	144	27	estimate	estimate	VERB
ejpam-5788	144	28	the	the	DET
ejpam-5788	144	29	parameters	parameter	NOUN
ejpam-5788	144	30	using	use	VERB
ejpam-5788	144	31	the	the	DET
ejpam-5788	144	32	newton	newton	PROPN
ejpam-5788	144	33	-	-	PUNCT
ejpam-5788	144	34	raphson	raphson	NOUN
ejpam-5788	144	35	and	and	CCONJ
ejpam-5788	144	36	em	em	PRON
ejpam-5788	144	37	algorithms	algorithm	VERB
ejpam-5788	144	38	.	.	PUNCT
ejpam-5788	145	1	in	in	ADP
ejpam-5788	145	2	the	the	DET
ejpam-5788	145	3	bayesian	bayesian	NOUN
ejpam-5788	145	4	approach	approach	NOUN
ejpam-5788	145	5	,	,	PUNCT
ejpam-5788	145	6	we	we	PRON
ejpam-5788	145	7	use	use	VERB
ejpam-5788	145	8	the	the	DET
ejpam-5788	145	9	mcmc	mcmc	PROPN
ejpam-5788	145	10	method	method	NOUN
ejpam-5788	145	11	.	.	PUNCT
ejpam-5788	146	1	2.2.1	2.2.1	NUM
ejpam-5788	146	2	.	.	PUNCT
ejpam-5788	146	3	ml	ml	AUX
ejpam-5788	146	4	estimation	estimation	VERB
ejpam-5788	146	5	the	the	DET
ejpam-5788	146	6	purpose	purpose	NOUN
ejpam-5788	146	7	of	of	ADP
ejpam-5788	146	8	ml	ml	NOUN
ejpam-5788	146	9	estimation	estimation	NOUN
ejpam-5788	146	10	is	be	AUX
ejpam-5788	146	11	to	to	PART
ejpam-5788	146	12	identify	identify	VERB
ejpam-5788	146	13	the	the	DET
ejpam-5788	146	14	values	value	NOUN
ejpam-5788	146	15	of	of	ADP
ejpam-5788	146	16	model	model	NOUN
ejpam-5788	146	17	parameters	parameter	NOUN
ejpam-5788	146	18	that	that	PRON
ejpam-5788	146	19	optimize	optimize	VERB
ejpam-5788	146	20	the	the	DET
ejpam-5788	146	21	likelihood	likelihood	NOUN
ejpam-5788	146	22	function	function	NOUN
ejpam-5788	146	23	across	across	ADP
ejpam-5788	146	24	the	the	DET
ejpam-5788	146	25	whole	whole	ADJ
ejpam-5788	146	26	parameter	parameter	NOUN
ejpam-5788	146	27	space	space	NOUN
ejpam-5788	146	28	.	.	PUNCT
ejpam-5788	147	1	the	the	DET
ejpam-5788	147	2	ml	ml	NOUN
ejpam-5788	147	3	technique	technique	NOUN
ejpam-5788	147	4	is	be	AUX
ejpam-5788	147	5	a	a	DET
ejpam-5788	147	6	commonly	commonly	ADV
ejpam-5788	147	7	employed	employ	VERB
ejpam-5788	147	8	statistical	statistical	ADJ
ejpam-5788	147	9	inference	inference	NOUN
ejpam-5788	147	10	technique	technique	NOUN
ejpam-5788	147	11	that	that	PRON
ejpam-5788	147	12	may	may	AUX
ejpam-5788	147	13	be	be	AUX
ejpam-5788	147	14	applied	apply	VERB
ejpam-5788	147	15	to	to	ADP
ejpam-5788	147	16	a	a	DET
ejpam-5788	147	17	diverse	diverse	ADJ
ejpam-5788	147	18	range	range	NOUN
ejpam-5788	147	19	of	of	ADP
ejpam-5788	147	20	distributions	distribution	NOUN
ejpam-5788	147	21	and	and	CCONJ
ejpam-5788	147	22	models	model	NOUN
ejpam-5788	147	23	.	.	PUNCT
ejpam-5788	148	1	the	the	DET
ejpam-5788	148	2	ml	ml	PROPN
ejpam-5788	148	3	estimator	estimator	NOUN
ejpam-5788	148	4	possesses	possess	VERB
ejpam-5788	148	5	several	several	ADJ
ejpam-5788	148	6	key	key	ADJ
ejpam-5788	148	7	attributes	attribute	NOUN
ejpam-5788	148	8	,	,	PUNCT
ejpam-5788	148	9	including	include	VERB
ejpam-5788	148	10	consistency	consistency	NOUN
ejpam-5788	148	11	,	,	PUNCT
ejpam-5788	148	12	asymptotic	asymptotic	ADJ
ejpam-5788	148	13	efficiency	efficiency	NOUN
ejpam-5788	148	14	,	,	PUNCT
ejpam-5788	148	15	asymptotic	asymptotic	ADJ
ejpam-5788	148	16	unbiasedness	unbiasedness	NOUN
ejpam-5788	148	17	,	,	PUNCT
ejpam-5788	148	18	and	and	CCONJ
ejpam-5788	148	19	asymptotic	asymptotic	ADJ
ejpam-5788	148	20	normality	normality	NOUN
ejpam-5788	148	21	.	.	PUNCT
ejpam-5788	149	1	these	these	DET
ejpam-5788	149	2	quantiles	quantile	NOUN
ejpam-5788	149	3	have	have	AUX
ejpam-5788	149	4	contributed	contribute	VERB
ejpam-5788	149	5	to	to	ADP
ejpam-5788	149	6	the	the	DET
ejpam-5788	149	7	widespread	widespread	ADJ
ejpam-5788	149	8	adoption	adoption	NOUN
ejpam-5788	149	9	and	and	CCONJ
ejpam-5788	149	10	significance	significance	NOUN
ejpam-5788	149	11	of	of	ADP
ejpam-5788	149	12	the	the	DET
ejpam-5788	149	13	mle	mle	PROPN
ejpam-5788	149	14	a.	a.	PROPN
ejpam-5788	149	15	a.	a.	PROPN
ejpam-5788	149	16	soliman	soliman	PROPN
ejpam-5788	149	17	et	et	PROPN
ejpam-5788	149	18	al	al	PROPN
ejpam-5788	149	19	.	.	PUNCT
ejpam-5788	149	20	/	/	SYM
ejpam-5788	149	21	eur	eur	PROPN
ejpam-5788	149	22	.	.	PUNCT
ejpam-5788	150	1	j.	j.	PROPN
ejpam-5788	150	2	pure	pure	PROPN
ejpam-5788	150	3	appl	appl	PROPN
ejpam-5788	150	4	.	.	PROPN
ejpam-5788	150	5	math	math	PROPN
ejpam-5788	150	6	,	,	PUNCT
ejpam-5788	150	7	18	18	NUM
ejpam-5788	150	8	(	(	PUNCT
ejpam-5788	150	9	2	2	NUM
ejpam-5788	150	10	)	)	PUNCT
ejpam-5788	150	11	(	(	PUNCT
ejpam-5788	150	12	2025	2025	NUM
ejpam-5788	150	13	)	)	PUNCT
ejpam-5788	150	14	,	,	PUNCT
ejpam-5788	150	15	5788	5788	NUM
ejpam-5788	150	16	7	7	NUM
ejpam-5788	150	17	of	of	ADP
ejpam-5788	150	18	34	34	NUM
ejpam-5788	150	19	as	as	ADP
ejpam-5788	150	20	a	a	DET
ejpam-5788	150	21	prominent	prominent	ADJ
ejpam-5788	150	22	technique	technique	NOUN
ejpam-5788	150	23	for	for	ADP
ejpam-5788	150	24	statistical	statistical	ADJ
ejpam-5788	150	25	model	model	NOUN
ejpam-5788	150	26	fitting	fitting	ADJ
ejpam-5788	150	27	.	.	PUNCT
ejpam-5788	151	1	the	the	DET
ejpam-5788	151	2	related	related	ADJ
ejpam-5788	151	3	pdf	pdf	NOUN
ejpam-5788	151	4	and	and	CCONJ
ejpam-5788	151	5	cdf	cdf	PROPN
ejpam-5788	151	6	are	be	AUX
ejpam-5788	151	7	given	give	VERB
ejpam-5788	151	8	in	in	ADP
ejpam-5788	151	9	eqs.(1	eqs.(1	PROPN
ejpam-5788	151	10	)	)	PUNCT
ejpam-5788	151	11	and	and	CCONJ
ejpam-5788	151	12	(	(	PUNCT
ejpam-5788	151	13	2	2	NUM
ejpam-5788	151	14	)	)	PUNCT
ejpam-5788	151	15	.	.	PUNCT
ejpam-5788	152	1	therefore	therefore	ADV
ejpam-5788	152	2	,	,	PUNCT
ejpam-5788	152	3	the	the	DET
ejpam-5788	152	4	likelihood	likelihood	NOUN
ejpam-5788	152	5	function	function	NOUN
ejpam-5788	152	6	is	be	AUX
ejpam-5788	152	7	derived	derive	VERB
ejpam-5788	152	8	as	as	SCONJ
ejpam-5788	152	9	shown	show	VERB
ejpam-5788	152	10	below	below	ADV
ejpam-5788	152	11	;	;	PUNCT
ejpam-5788	152	12	l(θ	l(θ	PROPN
ejpam-5788	152	13	,	,	PUNCT
ejpam-5788	152	14	σ	σ	PROPN
ejpam-5788	152	15	,	,	PUNCT
ejpam-5788	152	16	λ|x	λ|x	PROPN
ejpam-5788	152	17	)	)	PUNCT
ejpam-5788	152	18	∝	∝	PROPN
ejpam-5788	152	19	2λn2θd1+d2λd2σθ(d1+λd2	2λn2θd1+d2λd2σθ(d1+λd2	NUM
ejpam-5788	152	20	)	)	PUNCT
ejpam-5788	152	21	[	[	PUNCT
ejpam-5788	152	22	1	1	NUM
ejpam-5788	152	23	+	+	CCONJ
ejpam-5788	152	24	(	(	PUNCT
ejpam-5788	152	25	c1	c1	PROPN
ejpam-5788	152	26	σ	σ	PROPN
ejpam-5788	152	27	)	)	PUNCT
ejpam-5788	152	28	θ	θ	PROPN
ejpam-5788	152	29	]	]	PUNCT
ejpam-5788	152	30	(	(	PUNCT
ejpam-5788	152	31	d1−n1	d1−n1	NOUN
ejpam-5788	152	32	)	)	PUNCT
ejpam-5788	152	33	[	[	PUNCT
ejpam-5788	152	34	1	1	NUM
ejpam-5788	152	35	+	+	CCONJ
ejpam-5788	152	36	(	(	PUNCT
ejpam-5788	152	37	c2	c2	PROPN
ejpam-5788	152	38	σ	σ	PROPN
ejpam-5788	152	39	)	)	PUNCT
ejpam-5788	152	40	θ	θ	PROPN
ejpam-5788	152	41	]	]	PUNCT
ejpam-5788	152	42	λ(d2−n2	λ(d2−n2	X
ejpam-5788	152	43	)	)	PUNCT
ejpam-5788	152	44	×	×	NOUN
ejpam-5788	152	45	2∏	2∏	NUM
ejpam-5788	152	46	j=1	j=1	NOUN
ejpam-5788	152	47	dj∏	dj∏	VERB
ejpam-5788	152	48	i=1	i=1	X
ejpam-5788	153	1	x	x	SYM
ejpam-5788	153	2	−(sj(λ	−(sj(λ	PROPN
ejpam-5788	153	3	)	)	PUNCT
ejpam-5788	153	4	θ+1	θ+1	NOUN
ejpam-5788	153	5	)	)	PUNCT
ejpam-5788	154	1	ji	ji	NOUN
ejpam-5788	154	2	[	[	PUNCT
ejpam-5788	154	3	1	1	NUM
ejpam-5788	154	4	+	+	CCONJ
ejpam-5788	154	5	(	(	PUNCT
ejpam-5788	154	6	σ	σ	PROPN
ejpam-5788	154	7	xji	xji	PROPN
ejpam-5788	154	8	)	)	PUNCT
ejpam-5788	154	9	θ	θ	PROPN
ejpam-5788	154	10	]	]	PUNCT
ejpam-5788	154	11	sj(λ)+1	sj(λ)+1	NOUN
ejpam-5788	154	12	,	,	PUNCT
ejpam-5788	154	13	σ	σ	PROPN
ejpam-5788	154	14	≤	≤	PROPN
ejpam-5788	154	15	min{x11	min{x11	PROPN
ejpam-5788	154	16	,	,	PUNCT
ejpam-5788	154	17	x21	x21	PROPN
ejpam-5788	154	18	}	}	PUNCT
ejpam-5788	154	19	,	,	PUNCT
ejpam-5788	154	20	(	(	PUNCT
ejpam-5788	154	21	4	4	NUM
ejpam-5788	154	22	)	)	PUNCT
ejpam-5788	154	23	and	and	CCONJ
ejpam-5788	154	24	sj(λ	sj(λ	NUM
ejpam-5788	154	25	)	)	PUNCT
ejpam-5788	154	26	=	=	PRON
ejpam-5788	154	27	{	{	PUNCT
ejpam-5788	154	28	1	1	NUM
ejpam-5788	154	29	,	,	PUNCT
ejpam-5788	154	30	when	when	SCONJ
ejpam-5788	154	31	,	,	PUNCT
ejpam-5788	154	32	j	j	PROPN
ejpam-5788	154	33	=	=	SYM
ejpam-5788	154	34	1	1	NUM
ejpam-5788	154	35	λ	λ	NOUN
ejpam-5788	154	36	,	,	PUNCT
ejpam-5788	154	37	when	when	SCONJ
ejpam-5788	154	38	,	,	PUNCT
ejpam-5788	154	39	j	j	PROPN
ejpam-5788	154	40	=	=	PROPN
ejpam-5788	154	41	2	2	X
ejpam-5788	154	42	.	.	PUNCT
ejpam-5788	155	1	the	the	DET
ejpam-5788	155	2	ml	ml	NOUN
ejpam-5788	155	3	estimators	estimator	NOUN
ejpam-5788	155	4	of	of	ADP
ejpam-5788	155	5	the	the	DET
ejpam-5788	155	6	parameters	parameter	NOUN
ejpam-5788	155	7	θ	θ	PROPN
ejpam-5788	155	8	,	,	PUNCT
ejpam-5788	155	9	σ	σ	PROPN
ejpam-5788	155	10	,	,	PUNCT
ejpam-5788	155	11	and	and	CCONJ
ejpam-5788	155	12	λ	λ	NOUN
ejpam-5788	155	13	are	be	AUX
ejpam-5788	155	14	the	the	DET
ejpam-5788	155	15	values	value	NOUN
ejpam-5788	155	16	that	that	PRON
ejpam-5788	155	17	maximize	maximize	VERB
ejpam-5788	155	18	the	the	DET
ejpam-5788	155	19	likelihood	likelihood	NOUN
ejpam-5788	155	20	function	function	NOUN
ejpam-5788	155	21	,	,	PUNCT
ejpam-5788	155	22	as	as	SCONJ
ejpam-5788	155	23	shown	show	VERB
ejpam-5788	155	24	in	in	ADP
ejpam-5788	155	25	eq.(4	eq.(4	ADJ
ejpam-5788	155	26	)	)	PUNCT
ejpam-5788	155	27	.	.	PUNCT
ejpam-5788	156	1	maximizing	maximize	VERB
ejpam-5788	156	2	the	the	DET
ejpam-5788	156	3	likelihood	likelihood	NOUN
ejpam-5788	156	4	function	function	NOUN
ejpam-5788	156	5	presents	present	VERB
ejpam-5788	156	6	challenges	challenge	NOUN
ejpam-5788	156	7	,	,	PUNCT
ejpam-5788	156	8	so	so	SCONJ
ejpam-5788	156	9	it	it	PRON
ejpam-5788	156	10	is	be	AUX
ejpam-5788	156	11	more	more	ADV
ejpam-5788	156	12	advantageous	advantageous	ADJ
ejpam-5788	156	13	to	to	PART
ejpam-5788	156	14	optimize	optimize	VERB
ejpam-5788	156	15	its	its	PRON
ejpam-5788	156	16	natural	natural	ADJ
ejpam-5788	156	17	logarithm	logarithm	NOUN
ejpam-5788	156	18	.	.	PUNCT
ejpam-5788	157	1	the	the	DET
ejpam-5788	157	2	natural	natural	ADJ
ejpam-5788	157	3	logarithm	logarithm	NOUN
ejpam-5788	157	4	associated	associate	VERB
ejpam-5788	157	5	with	with	ADP
ejpam-5788	157	6	eq.(4	eq.(4	PROPN
ejpam-5788	157	7	)	)	PUNCT
ejpam-5788	157	8	,	,	PUNCT
ejpam-5788	157	9	represented	represent	VERB
ejpam-5788	157	10	as	as	ADP
ejpam-5788	157	11	ℓ(θ	ℓ(θ	PROPN
ejpam-5788	157	12	,	,	PUNCT
ejpam-5788	157	13	σ	σ	PROPN
ejpam-5788	157	14	,	,	PUNCT
ejpam-5788	157	15	λ|x	λ|x	PROPN
ejpam-5788	157	16	)	)	PUNCT
ejpam-5788	157	17	,	,	PUNCT
ejpam-5788	157	18	can	can	AUX
ejpam-5788	157	19	be	be	AUX
ejpam-5788	157	20	expressed	express	VERB
ejpam-5788	157	21	as	as	ADP
ejpam-5788	157	22	;	;	PUNCT
ejpam-5788	157	23	ℓ(θ	ℓ(θ	PROPN
ejpam-5788	157	24	,	,	PUNCT
ejpam-5788	157	25	σ	σ	PROPN
ejpam-5788	157	26	,	,	PUNCT
ejpam-5788	157	27	λ|x	λ|x	PROPN
ejpam-5788	157	28	)	)	PUNCT
ejpam-5788	157	29	∝	∝	PROPN
ejpam-5788	157	30	n2λ	n2λ	PROPN
ejpam-5788	157	31	log	log	VERB
ejpam-5788	157	32	2	2	NUM
ejpam-5788	157	33	+	+	CCONJ
ejpam-5788	157	34	(	(	PUNCT
ejpam-5788	157	35	d1	d1	PROPN
ejpam-5788	157	36	+	+	SYM
ejpam-5788	157	37	d2	d2	PROPN
ejpam-5788	157	38	)	)	PUNCT
ejpam-5788	157	39	log	log	NOUN
ejpam-5788	157	40	θ	θ	PROPN
ejpam-5788	158	1	+	+	SYM
ejpam-5788	158	2	d2	d2	PROPN
ejpam-5788	158	3	log	log	NOUN
ejpam-5788	158	4	λ+	λ+	PUNCT
ejpam-5788	158	5	θ(d1	θ(d1	ADJ
ejpam-5788	158	6	+	+	NUM
ejpam-5788	158	7	λd2	λd2	X
ejpam-5788	158	8	)	)	PUNCT
ejpam-5788	158	9	log	log	PROPN
ejpam-5788	158	10	σ	σ	PROPN
ejpam-5788	159	1	+	+	CCONJ
ejpam-5788	159	2	(	(	PUNCT
ejpam-5788	159	3	d1	d1	PROPN
ejpam-5788	159	4	−	−	PROPN
ejpam-5788	159	5	n1	n1	NOUN
ejpam-5788	159	6	)	)	PUNCT
ejpam-5788	159	7	log	log	NOUN
ejpam-5788	159	8	(	(	PUNCT
ejpam-5788	159	9	1	1	NUM
ejpam-5788	159	10	+	+	CCONJ
ejpam-5788	159	11	(	(	PUNCT
ejpam-5788	159	12	c1	c1	PROPN
ejpam-5788	159	13	σ	σ	PROPN
ejpam-5788	159	14	)	)	PUNCT
ejpam-5788	159	15	θ	θ	PROPN
ejpam-5788	159	16	)	)	PUNCT
ejpam-5788	160	1	+	+	CCONJ
ejpam-5788	160	2	λ(d2	λ(d2	VERB
ejpam-5788	160	3	−	−	PROPN
ejpam-5788	160	4	n2	n2	ADJ
ejpam-5788	160	5	)	)	PUNCT
ejpam-5788	160	6	log	log	NOUN
ejpam-5788	160	7	(	(	PUNCT
ejpam-5788	160	8	1	1	NUM
ejpam-5788	160	9	+	+	CCONJ
ejpam-5788	160	10	(	(	PUNCT
ejpam-5788	160	11	c2	c2	PROPN
ejpam-5788	160	12	σ	σ	PROPN
ejpam-5788	160	13	)	)	PUNCT
ejpam-5788	160	14	θ	θ	PROPN
ejpam-5788	160	15	)	)	PUNCT
ejpam-5788	161	1	−	−	NOUN
ejpam-5788	162	1	2∑	2∑	NUM
ejpam-5788	162	2	j=1	j=1	NOUN
ejpam-5788	162	3	(	(	PUNCT
ejpam-5788	162	4	sj(λ)θ	sj(λ)θ	X
ejpam-5788	162	5	+	+	CCONJ
ejpam-5788	162	6	1	1	X
ejpam-5788	162	7	)	)	PUNCT
ejpam-5788	162	8	dj∑	dj∑	PROPN
ejpam-5788	162	9	i=1	i=1	PROPN
ejpam-5788	162	10	log	log	VERB
ejpam-5788	162	11	xji	xji	NOUN
ejpam-5788	163	1	−	−	NOUN
ejpam-5788	164	1	2∑	2∑	NUM
ejpam-5788	164	2	j=1	j=1	NOUN
ejpam-5788	164	3	(	(	PUNCT
ejpam-5788	164	4	sj(λ	sj(λ	NOUN
ejpam-5788	164	5	)	)	PUNCT
ejpam-5788	164	6	+	+	CCONJ
ejpam-5788	164	7	1	1	X
ejpam-5788	164	8	)	)	PUNCT
ejpam-5788	164	9	dj∑	dj∑	PROPN
ejpam-5788	164	10	i=1	i=1	PRON
ejpam-5788	164	11	log(1	log(1	NOUN
ejpam-5788	165	1	+	+	PUNCT
ejpam-5788	165	2	(	(	PUNCT
ejpam-5788	165	3	σ	σ	X
ejpam-5788	165	4	xji	xji	PROPN
ejpam-5788	165	5	)	)	PUNCT
ejpam-5788	165	6	θ	θ	PROPN
ejpam-5788	165	7	)	)	PUNCT
ejpam-5788	165	8	.	.	PUNCT
ejpam-5788	166	1	(	(	PUNCT
ejpam-5788	166	2	5	5	X
ejpam-5788	166	3	)	)	PUNCT
ejpam-5788	166	4	the	the	DET
ejpam-5788	166	5	ml	ml	ADJ
ejpam-5788	166	6	estimate	estimate	NOUN
ejpam-5788	166	7	of	of	ADP
ejpam-5788	166	8	σ	σ	PROPN
ejpam-5788	166	9	is	be	AUX
ejpam-5788	166	10	σ̂ml	σ̂ml	NOUN
ejpam-5788	166	11	=	=	SYM
ejpam-5788	166	12	x1	x1	PROPN
ejpam-5788	166	13	.	.	PUNCT
ejpam-5788	167	1	by	by	ADP
ejpam-5788	167	2	calculating	calculate	VERB
ejpam-5788	167	3	the	the	DET
ejpam-5788	167	4	first	first	ADJ
ejpam-5788	167	5	derivatives	derivative	NOUN
ejpam-5788	167	6	of	of	ADP
ejpam-5788	167	7	eq.(5	eq.(5	NOUN
ejpam-5788	167	8	)	)	PUNCT
ejpam-5788	167	9	with	with	ADP
ejpam-5788	167	10	respect	respect	NOUN
ejpam-5788	167	11	to	to	ADP
ejpam-5788	167	12	θ	θ	PROPN
ejpam-5788	167	13	and	and	CCONJ
ejpam-5788	167	14	λ	λ	PROPN
ejpam-5788	167	15	,	,	PUNCT
ejpam-5788	167	16	and	and	CCONJ
ejpam-5788	167	17	then	then	ADV
ejpam-5788	167	18	setting	set	VERB
ejpam-5788	167	19	them	they	PRON
ejpam-5788	167	20	equal	equal	ADJ
ejpam-5788	167	21	to	to	ADP
ejpam-5788	167	22	zero	zero	NUM
ejpam-5788	167	23	,	,	PUNCT
ejpam-5788	167	24	we	we	PRON
ejpam-5788	167	25	obtain	obtain	VERB
ejpam-5788	167	26	the	the	DET
ejpam-5788	167	27	following	follow	VERB
ejpam-5788	167	28	system	system	NOUN
ejpam-5788	167	29	of	of	ADP
ejpam-5788	167	30	simultaneous	simultaneous	ADJ
ejpam-5788	167	31	equations	equation	NOUN
ejpam-5788	167	32	.	.	PUNCT
ejpam-5788	168	1	∂ℓ∗(θ	∂ℓ∗(θ	ADV
ejpam-5788	168	2	,	,	PUNCT
ejpam-5788	168	3	λ|x	λ|x	PUNCT
ejpam-5788	168	4	)	)	PUNCT
ejpam-5788	168	5	∂θ	∂θ	NOUN
ejpam-5788	169	1	=	=	PUNCT
ejpam-5788	169	2	d1	d1	PROPN
ejpam-5788	169	3	+	+	NOUN
ejpam-5788	169	4	d2	d2	PROPN
ejpam-5788	169	5	θ	θ	PROPN
ejpam-5788	169	6	+	+	CCONJ
ejpam-5788	169	7	(	(	PUNCT
ejpam-5788	169	8	d1	d1	PROPN
ejpam-5788	169	9	+	+	CCONJ
ejpam-5788	169	10	λd2	λd2	X
ejpam-5788	169	11	)	)	PUNCT
ejpam-5788	169	12	log	log	VERB
ejpam-5788	169	13	x1	x1	PROPN
ejpam-5788	170	1	+	+	CCONJ
ejpam-5788	170	2	(	(	PUNCT
ejpam-5788	170	3	d1	d1	PROPN
ejpam-5788	170	4	−	−	PROPN
ejpam-5788	170	5	n1	n1	NOUN
ejpam-5788	170	6	)	)	PUNCT
ejpam-5788	170	7	(	(	PUNCT
ejpam-5788	170	8	c1	c1	PROPN
ejpam-5788	170	9	x1	x1	PROPN
ejpam-5788	170	10	)	)	PUNCT
ejpam-5788	171	1	θ	θ	PROPN
ejpam-5788	171	2	log	log	NOUN
ejpam-5788	171	3	(	(	PUNCT
ejpam-5788	171	4	c1	c1	PROPN
ejpam-5788	171	5	x1	x1	PROPN
ejpam-5788	171	6	)	)	PUNCT
ejpam-5788	171	7	1	1	NUM
ejpam-5788	172	1	+	+	CCONJ
ejpam-5788	172	2	(	(	PUNCT
ejpam-5788	172	3	c1	c1	PROPN
ejpam-5788	172	4	x1	x1	PROPN
ejpam-5788	172	5	)	)	PUNCT
ejpam-5788	173	1	θ	θ	X
ejpam-5788	174	1	−	−	NOUN
ejpam-5788	174	2	2∑	2∑	NUM
ejpam-5788	174	3	j=1	j=1	NOUN
ejpam-5788	174	4	sj(λ	sj(λ	PUNCT
ejpam-5788	174	5	)	)	PUNCT
ejpam-5788	174	6	dj∑	dj∑	PROPN
ejpam-5788	174	7	i=1	i=1	PROPN
ejpam-5788	174	8	log	log	VERB
ejpam-5788	174	9	xji	xji	PUNCT
ejpam-5788	175	1	+	+	CCONJ
ejpam-5788	175	2	λ(d2	λ(d2	VERB
ejpam-5788	175	3	−	−	PROPN
ejpam-5788	175	4	n2	n2	NOUN
ejpam-5788	175	5	)	)	PUNCT
ejpam-5788	175	6	(	(	PUNCT
ejpam-5788	175	7	c2	c2	PROPN
ejpam-5788	175	8	x1	x1	PROPN
ejpam-5788	175	9	)	)	PUNCT
ejpam-5788	176	1	θ	θ	NOUN
ejpam-5788	176	2	log	log	VERB
ejpam-5788	176	3	(	(	PUNCT
ejpam-5788	176	4	c2	c2	PROPN
ejpam-5788	176	5	x1	x1	PROPN
ejpam-5788	176	6	)	)	PUNCT
ejpam-5788	176	7	1	1	NUM
ejpam-5788	177	1	+	+	CCONJ
ejpam-5788	177	2	(	(	PUNCT
ejpam-5788	177	3	c2	c2	PROPN
ejpam-5788	177	4	x1	x1	NUM
ejpam-5788	177	5	)	)	PUNCT
ejpam-5788	178	1	θ	θ	X
ejpam-5788	179	1	−	−	NOUN
ejpam-5788	179	2	2∑	2∑	NUM
ejpam-5788	179	3	j=1	j=1	NOUN
ejpam-5788	179	4	(	(	PUNCT
ejpam-5788	179	5	sj(λ	sj(λ	NOUN
ejpam-5788	179	6	)	)	PUNCT
ejpam-5788	179	7	+	+	CCONJ
ejpam-5788	179	8	1	1	X
ejpam-5788	179	9	)	)	PUNCT
ejpam-5788	179	10	dj∑	dj∑	PROPN
ejpam-5788	179	11	i=1	i=1	PROPN
ejpam-5788	180	1	(	(	PUNCT
ejpam-5788	180	2	x1	x1	PROPN
ejpam-5788	180	3	xji	xji	PROPN
ejpam-5788	180	4	)	)	PUNCT
ejpam-5788	181	1	θ	θ	NOUN
ejpam-5788	181	2	log	log	NOUN
ejpam-5788	181	3	(	(	PUNCT
ejpam-5788	181	4	x1	x1	PROPN
ejpam-5788	181	5	xji	xji	PROPN
ejpam-5788	181	6	)	)	PUNCT
ejpam-5788	181	7	1	1	NUM
ejpam-5788	182	1	+	+	CCONJ
ejpam-5788	182	2	(	(	PUNCT
ejpam-5788	182	3	x1	x1	PROPN
ejpam-5788	182	4	xji	xji	PROPN
ejpam-5788	182	5	)	)	PUNCT
ejpam-5788	182	6	θ	θ	X
ejpam-5788	182	7	=	=	SYM
ejpam-5788	182	8	0	0	NUM
ejpam-5788	182	9	,	,	PUNCT
ejpam-5788	182	10	(	(	PUNCT
ejpam-5788	182	11	6	6	NUM
ejpam-5788	182	12	)	)	PUNCT
ejpam-5788	182	13	and	and	CCONJ
ejpam-5788	182	14	∂ℓ∗(θ	∂ℓ∗(θ	ADV
ejpam-5788	182	15	,	,	PUNCT
ejpam-5788	182	16	λ|x	λ|x	PROPN
ejpam-5788	182	17	)	)	PUNCT
ejpam-5788	183	1	∂λ	∂λ	PROPN
ejpam-5788	183	2	=	=	SYM
ejpam-5788	183	3	n2	n2	PROPN
ejpam-5788	183	4	log	log	NOUN
ejpam-5788	183	5	2	2	NUM
ejpam-5788	183	6	+	+	CCONJ
ejpam-5788	183	7	d2	d2	PROPN
ejpam-5788	183	8	λ	λ	PROPN
ejpam-5788	183	9	+	+	PROPN
ejpam-5788	183	10	d2	d2	PROPN
ejpam-5788	183	11	θ	θ	PROPN
ejpam-5788	183	12	log	log	VERB
ejpam-5788	183	13	x1	x1	PROPN
ejpam-5788	184	1	+	+	CCONJ
ejpam-5788	184	2	(	(	PUNCT
ejpam-5788	184	3	d2	d2	PROPN
ejpam-5788	184	4	−	−	PROPN
ejpam-5788	184	5	n2	n2	NOUN
ejpam-5788	184	6	)	)	PUNCT
ejpam-5788	184	7	log	log	NOUN
ejpam-5788	184	8	(	(	PUNCT
ejpam-5788	184	9	1	1	NUM
ejpam-5788	184	10	+	+	CCONJ
ejpam-5788	184	11	(	(	PUNCT
ejpam-5788	184	12	c2	c2	PROPN
ejpam-5788	184	13	x1	x1	PROPN
ejpam-5788	184	14	)	)	PUNCT
ejpam-5788	184	15	θ	θ	NOUN
ejpam-5788	184	16	)	)	PUNCT
ejpam-5788	184	17	−	−	PROPN
ejpam-5788	185	1	θ	θ	PROPN
ejpam-5788	185	2	d2∑	d2∑	PROPN
ejpam-5788	186	1	i=1	i=1	PROPN
ejpam-5788	186	2	log	log	VERB
ejpam-5788	186	3	x2i	x2i	PROPN
ejpam-5788	187	1	−	−	PROPN
ejpam-5788	188	1	d2∑	d2∑	PROPN
ejpam-5788	188	2	i=1	i=1	PROPN
ejpam-5788	188	3	log(1	log(1	NOUN
ejpam-5788	189	1	+	+	PUNCT
ejpam-5788	189	2	(	(	PUNCT
ejpam-5788	189	3	x1	x1	NOUN
ejpam-5788	189	4	x2i	x2i	PUNCT
ejpam-5788	189	5	)	)	PUNCT
ejpam-5788	189	6	θ	θ	NOUN
ejpam-5788	189	7	)	)	PUNCT
ejpam-5788	190	1	=	=	PUNCT
ejpam-5788	190	2	0	0	X
ejpam-5788	190	3	.	.	PUNCT
ejpam-5788	191	1	(	(	PUNCT
ejpam-5788	191	2	7	7	X
ejpam-5788	191	3	)	)	PUNCT
ejpam-5788	191	4	a.	a.	NOUN
ejpam-5788	191	5	a.	a.	PROPN
ejpam-5788	191	6	soliman	soliman	PROPN
ejpam-5788	191	7	et	et	PROPN
ejpam-5788	191	8	al	al	PROPN
ejpam-5788	191	9	.	.	PUNCT
ejpam-5788	191	10	/	/	SYM
ejpam-5788	191	11	eur	eur	PROPN
ejpam-5788	191	12	.	.	PUNCT
ejpam-5788	192	1	j.	j.	PROPN
ejpam-5788	192	2	pure	pure	PROPN
ejpam-5788	192	3	appl	appl	PROPN
ejpam-5788	192	4	.	.	PROPN
ejpam-5788	192	5	math	math	PROPN
ejpam-5788	192	6	,	,	PUNCT
ejpam-5788	192	7	18	18	NUM
ejpam-5788	192	8	(	(	PUNCT
ejpam-5788	192	9	2	2	NUM
ejpam-5788	192	10	)	)	PUNCT
ejpam-5788	192	11	(	(	PUNCT
ejpam-5788	192	12	2025	2025	NUM
ejpam-5788	192	13	)	)	PUNCT
ejpam-5788	192	14	,	,	PUNCT
ejpam-5788	192	15	5788	5788	NUM
ejpam-5788	192	16	8	8	NUM
ejpam-5788	192	17	of	of	ADP
ejpam-5788	192	18	34	34	NUM
ejpam-5788	192	19	using	use	VERB
ejpam-5788	192	20	eq.(7	eq.(7	NOUN
ejpam-5788	192	21	)	)	PUNCT
ejpam-5788	192	22	and	and	CCONJ
ejpam-5788	192	23	for	for	ADP
ejpam-5788	192	24	fixed	fix	VERB
ejpam-5788	192	25	θ	θ	PROPN
ejpam-5788	192	26	,	,	PUNCT
ejpam-5788	192	27	one	one	PRON
ejpam-5788	192	28	can	can	AUX
ejpam-5788	192	29	obtain	obtain	VERB
ejpam-5788	192	30	the	the	DET
ejpam-5788	192	31	mle	mle	NOUN
ejpam-5788	192	32	of	of	ADP
ejpam-5788	192	33	the	the	DET
ejpam-5788	192	34	unknown	unknown	ADJ
ejpam-5788	192	35	parameter	parameter	NOUN
ejpam-5788	192	36	λ	λ	PROPN
ejpam-5788	192	37	as	as	ADP
ejpam-5788	192	38	a	a	DET
ejpam-5788	192	39	function	function	NOUN
ejpam-5788	192	40	of	of	ADP
ejpam-5788	192	41	the	the	DET
ejpam-5788	192	42	parameter	parameter	NOUN
ejpam-5788	192	43	θ	θ	PROPN
ejpam-5788	192	44	as	as	SCONJ
ejpam-5788	192	45	shown	show	VERB
ejpam-5788	192	46	below	below	ADV
ejpam-5788	192	47	;	;	PUNCT
ejpam-5788	192	48	λ̂ml(θ	λ̂ml(θ	PROPN
ejpam-5788	192	49	)	)	PUNCT
ejpam-5788	192	50	=	=	SYM
ejpam-5788	192	51	d2	d2	PROPN
ejpam-5788	192	52	−n2	−n2	PROPN
ejpam-5788	192	53	log	log	NOUN
ejpam-5788	192	54	2−d2θ	2−d2θ	NUM
ejpam-5788	192	55	log	log	NOUN
ejpam-5788	192	56	x1−(d2−n2	x1−(d2−n2	PROPN
ejpam-5788	192	57	)	)	PUNCT
ejpam-5788	192	58	log	log	NOUN
ejpam-5788	192	59	(	(	PUNCT
ejpam-5788	192	60	1	1	NUM
ejpam-5788	192	61	+	+	PROPN
ejpam-5788	192	62	(	(	PUNCT
ejpam-5788	192	63	c2	c2	PROPN
ejpam-5788	192	64	x1	x1	PROPN
ejpam-5788	192	65	)	)	PUNCT
ejpam-5788	193	1	θ	θ	NOUN
ejpam-5788	193	2	)	)	PUNCT
ejpam-5788	194	1	+	+	NUM
ejpam-5788	194	2	θ	θ	X
ejpam-5788	194	3	∑d2	∑d2	PROPN
ejpam-5788	194	4	i=1	i=1	PROPN
ejpam-5788	194	5	log	log	VERB
ejpam-5788	194	6	x2i+	x2i+	PROPN
ejpam-5788	195	1	∑d2	∑d2	PROPN
ejpam-5788	195	2	i=1	i=1	PROPN
ejpam-5788	195	3	log(1	log(1	VERB
ejpam-5788	196	1	+	+	PROPN
ejpam-5788	196	2	(	(	PUNCT
ejpam-5788	196	3	x1	x1	PROPN
ejpam-5788	196	4	x2i	x2i	PUNCT
ejpam-5788	196	5	)	)	PUNCT
ejpam-5788	196	6	θ	θ	PROPN
ejpam-5788	196	7	)	)	PUNCT
ejpam-5788	196	8	(	(	PUNCT
ejpam-5788	196	9	8)	8)	NUM
ejpam-5788	196	10	by	by	ADP
ejpam-5788	196	11	substituting	substitute	VERB
ejpam-5788	196	12	λ̂ml(θ	λ̂ml(θ	PROPN
ejpam-5788	196	13	)	)	PUNCT
ejpam-5788	196	14	in	in	ADP
ejpam-5788	196	15	the	the	DET
ejpam-5788	196	16	normal	normal	ADJ
ejpam-5788	196	17	equation	equation	NOUN
ejpam-5788	196	18	given	give	VERB
ejpam-5788	196	19	by	by	ADP
ejpam-5788	196	20	eq.(6	eq.(6	NOUN
ejpam-5788	196	21	)	)	PUNCT
ejpam-5788	196	22	,	,	PUNCT
ejpam-5788	196	23	the	the	DET
ejpam-5788	196	24	ml	ml	NOUN
ejpam-5788	196	25	estimate	estimate	NOUN
ejpam-5788	196	26	of	of	ADP
ejpam-5788	196	27	θ	θ	PROPN
ejpam-5788	196	28	can	can	AUX
ejpam-5788	196	29	be	be	AUX
ejpam-5788	196	30	obtained	obtain	VERB
ejpam-5788	196	31	by	by	ADP
ejpam-5788	196	32	solving	solve	VERB
ejpam-5788	196	33	the	the	DET
ejpam-5788	196	34	following	follow	VERB
ejpam-5788	196	35	non	non	ADJ
ejpam-5788	196	36	-	-	ADJ
ejpam-5788	196	37	linear	linear	ADJ
ejpam-5788	196	38	equation	equation	NOUN
ejpam-5788	196	39	;	;	PUNCT
ejpam-5788	196	40	∂ℓ∗(θ	∂ℓ∗(θ	ADV
ejpam-5788	196	41	,	,	PUNCT
ejpam-5788	196	42	λ|x	λ|x	PUNCT
ejpam-5788	196	43	)	)	PUNCT
ejpam-5788	197	1	∂θ	∂θ	NOUN
ejpam-5788	198	1	=	=	PUNCT
ejpam-5788	198	2	d1	d1	PROPN
ejpam-5788	198	3	+	+	NOUN
ejpam-5788	198	4	d2	d2	PROPN
ejpam-5788	198	5	θ	θ	PROPN
ejpam-5788	198	6	+	+	CCONJ
ejpam-5788	198	7	(	(	PUNCT
ejpam-5788	198	8	d1	d1	PROPN
ejpam-5788	198	9	+	+	CCONJ
ejpam-5788	198	10	λ̂ml(θ)d2	λ̂ml(θ)d2	PROPN
ejpam-5788	198	11	)	)	PUNCT
ejpam-5788	198	12	log	log	VERB
ejpam-5788	198	13	x1	x1	PROPN
ejpam-5788	198	14	+	+	CCONJ
ejpam-5788	198	15	(	(	PUNCT
ejpam-5788	198	16	d1	d1	PROPN
ejpam-5788	198	17	−	−	PROPN
ejpam-5788	198	18	n1	n1	NOUN
ejpam-5788	198	19	)	)	PUNCT
ejpam-5788	198	20	(	(	PUNCT
ejpam-5788	198	21	c1	c1	PROPN
ejpam-5788	198	22	x1	x1	PROPN
ejpam-5788	198	23	)	)	PUNCT
ejpam-5788	199	1	θ	θ	PROPN
ejpam-5788	199	2	log	log	NOUN
ejpam-5788	199	3	(	(	PUNCT
ejpam-5788	199	4	c1	c1	PROPN
ejpam-5788	199	5	x1	x1	PROPN
ejpam-5788	199	6	)	)	PUNCT
ejpam-5788	199	7	1	1	NUM
ejpam-5788	200	1	+	+	CCONJ
ejpam-5788	200	2	(	(	PUNCT
ejpam-5788	200	3	c1	c1	PROPN
ejpam-5788	200	4	x1	x1	PROPN
ejpam-5788	200	5	)	)	PUNCT
ejpam-5788	201	1	θ	θ	X
ejpam-5788	202	1	+	+	PUNCT
ejpam-5788	202	2	λ̂ml(θ)(d2	λ̂ml(θ)(d2	PUNCT
ejpam-5788	202	3	−	−	NOUN
ejpam-5788	202	4	n2	n2	NOUN
ejpam-5788	202	5	)	)	PUNCT
ejpam-5788	202	6	(	(	PUNCT
ejpam-5788	202	7	c2	c2	PROPN
ejpam-5788	202	8	x1	x1	PROPN
ejpam-5788	202	9	)	)	PUNCT
ejpam-5788	203	1	θ	θ	NOUN
ejpam-5788	203	2	log	log	VERB
ejpam-5788	203	3	(	(	PUNCT
ejpam-5788	203	4	c2	c2	PROPN
ejpam-5788	203	5	x1	x1	PROPN
ejpam-5788	203	6	)	)	PUNCT
ejpam-5788	203	7	1	1	NUM
ejpam-5788	204	1	+	+	CCONJ
ejpam-5788	204	2	(	(	PUNCT
ejpam-5788	204	3	c2	c2	PROPN
ejpam-5788	204	4	x1	x1	NUM
ejpam-5788	204	5	)	)	PUNCT
ejpam-5788	205	1	θ	θ	NOUN
ejpam-5788	206	1	−	−	PROPN
ejpam-5788	206	2	d1∑	d1∑	PROPN
ejpam-5788	206	3	i=1	i=1	PROPN
ejpam-5788	206	4	log	log	VERB
ejpam-5788	206	5	x1i	x1i	PROPN
ejpam-5788	206	6	−	−	PROPN
ejpam-5788	207	1	λ̂ml(θ	λ̂ml(θ	PROPN
ejpam-5788	207	2	)	)	PUNCT
ejpam-5788	207	3	d2∑	d2∑	PROPN
ejpam-5788	207	4	i=1	i=1	PROPN
ejpam-5788	207	5	log	log	VERB
ejpam-5788	207	6	x2i	x2i	PROPN
ejpam-5788	208	1	−	−	PROPN
ejpam-5788	209	1	2	2	NUM
ejpam-5788	209	2	d1∑	d1∑	PROPN
ejpam-5788	209	3	i=1	i=1	PROPN
ejpam-5788	209	4	(	(	PUNCT
ejpam-5788	209	5	x1	x1	PROPN
ejpam-5788	209	6	x1i	x1i	PROPN
ejpam-5788	209	7	)	)	PUNCT
ejpam-5788	210	1	θ	θ	PROPN
ejpam-5788	210	2	log	log	NOUN
ejpam-5788	210	3	(	(	PUNCT
ejpam-5788	210	4	x1	x1	PROPN
ejpam-5788	210	5	x1i	x1i	PROPN
ejpam-5788	210	6	)	)	PUNCT
ejpam-5788	210	7	1	1	NUM
ejpam-5788	211	1	+	+	CCONJ
ejpam-5788	211	2	(	(	PUNCT
ejpam-5788	211	3	x1	x1	PROPN
ejpam-5788	211	4	x1i	x1i	PROPN
ejpam-5788	211	5	)	)	PUNCT
ejpam-5788	212	1	θ	θ	X
ejpam-5788	212	2	−	−	PROPN
ejpam-5788	212	3	(	(	PUNCT
ejpam-5788	212	4	λ̂ml(θ	λ̂ml(θ	ADP
ejpam-5788	212	5	)	)	PUNCT
ejpam-5788	212	6	+	+	NUM
ejpam-5788	212	7	1	1	X
ejpam-5788	212	8	)	)	PUNCT
ejpam-5788	212	9	d2∑	d2∑	PROPN
ejpam-5788	212	10	i=1	i=1	PROPN
ejpam-5788	213	1	(	(	PUNCT
ejpam-5788	213	2	x1	x1	PROPN
ejpam-5788	213	3	x2i	x2i	PUNCT
ejpam-5788	213	4	)	)	PUNCT
ejpam-5788	214	1	θ	θ	PROPN
ejpam-5788	214	2	log	log	NOUN
ejpam-5788	214	3	(	(	PUNCT
ejpam-5788	214	4	x1	x1	PROPN
ejpam-5788	214	5	x2i	x2i	PUNCT
ejpam-5788	214	6	)	)	PUNCT
ejpam-5788	214	7	1	1	NUM
ejpam-5788	215	1	+	+	CCONJ
ejpam-5788	215	2	(	(	PUNCT
ejpam-5788	215	3	x1	x1	PROPN
ejpam-5788	215	4	x2i	x2i	PUNCT
ejpam-5788	215	5	)	)	PUNCT
ejpam-5788	215	6	θ	θ	PROPN
ejpam-5788	215	7	,	,	PUNCT
ejpam-5788	215	8	(	(	PUNCT
ejpam-5788	215	9	9	9	X
ejpam-5788	215	10	)	)	PUNCT
ejpam-5788	215	11	it	it	PRON
ejpam-5788	215	12	is	be	AUX
ejpam-5788	215	13	noteworthy	noteworthy	ADJ
ejpam-5788	215	14	to	to	PART
ejpam-5788	215	15	emphasis	emphasis	VERB
ejpam-5788	215	16	that	that	SCONJ
ejpam-5788	215	17	the	the	DET
ejpam-5788	215	18	solution	solution	NOUN
ejpam-5788	215	19	to	to	ADP
ejpam-5788	215	20	eq.(9	eq.(9	ADJ
ejpam-5788	215	21	)	)	PUNCT
ejpam-5788	215	22	is	be	AUX
ejpam-5788	215	23	analytically	analytically	ADV
ejpam-5788	215	24	infeasible	infeasible	ADJ
ejpam-5788	215	25	.	.	PUNCT
ejpam-5788	216	1	hence	hence	ADV
ejpam-5788	216	2	,	,	PUNCT
ejpam-5788	216	3	the	the	DET
ejpam-5788	216	4	explicit	explicit	ADJ
ejpam-5788	216	5	derivation	derivation	NOUN
ejpam-5788	216	6	of	of	ADP
ejpam-5788	216	7	the	the	DET
ejpam-5788	216	8	maximum	maximum	ADJ
ejpam-5788	216	9	likelihood	likelihood	NOUN
ejpam-5788	216	10	estimator	estimator	NOUN
ejpam-5788	216	11	θ̂ml	θ̂ml	NOUN
ejpam-5788	216	12	poses	pose	VERB
ejpam-5788	216	13	a	a	DET
ejpam-5788	216	14	significant	significant	ADJ
ejpam-5788	216	15	challenge	challenge	NOUN
ejpam-5788	216	16	.	.	PUNCT
ejpam-5788	217	1	the	the	DET
ejpam-5788	217	2	required	require	VERB
ejpam-5788	217	3	estimates	estimate	NOUN
ejpam-5788	217	4	can	can	AUX
ejpam-5788	217	5	be	be	AUX
ejpam-5788	217	6	obtained	obtain	VERB
ejpam-5788	217	7	using	use	VERB
ejpam-5788	217	8	numerical	numerical	ADJ
ejpam-5788	217	9	techniques	technique	NOUN
ejpam-5788	217	10	,	,	PUNCT
ejpam-5788	217	11	such	such	ADJ
ejpam-5788	217	12	as	as	ADP
ejpam-5788	217	13	the	the	DET
ejpam-5788	217	14	newton	newton	PROPN
ejpam-5788	217	15	-	-	PUNCT
ejpam-5788	217	16	raphson	raphson	NOUN
ejpam-5788	217	17	method	method	NOUN
ejpam-5788	217	18	.	.	PUNCT
ejpam-5788	218	1	it	it	PRON
ejpam-5788	218	2	can	can	AUX
ejpam-5788	218	3	be	be	AUX
ejpam-5788	218	4	noted	note	VERB
ejpam-5788	218	5	from	from	ADP
ejpam-5788	218	6	eq.(8	eq.(8	ADJ
ejpam-5788	218	7	)	)	PUNCT
ejpam-5788	218	8	that	that	SCONJ
ejpam-5788	218	9	the	the	DET
ejpam-5788	218	10	maximum	maximum	ADJ
ejpam-5788	218	11	likelihood	likelihood	NOUN
ejpam-5788	218	12	estimator	estimator	NOUN
ejpam-5788	218	13	λ̂ml	λ̂ml	NOUN
ejpam-5788	218	14	can	can	AUX
ejpam-5788	218	15	be	be	AUX
ejpam-5788	218	16	explicitly	explicitly	ADV
ejpam-5788	218	17	expressed	express	VERB
ejpam-5788	218	18	as	as	ADP
ejpam-5788	218	19	a	a	DET
ejpam-5788	218	20	function	function	NOUN
ejpam-5788	218	21	of	of	ADP
ejpam-5788	218	22	the	the	DET
ejpam-5788	218	23	maximum	maximum	ADJ
ejpam-5788	218	24	likelihood	likelihood	NOUN
ejpam-5788	218	25	estimator	estimator	NOUN
ejpam-5788	218	26	of	of	ADP
ejpam-5788	218	27	the	the	DET
ejpam-5788	218	28	parameter	parameter	PROPN
ejpam-5788	218	29	θ	θ	PROPN
ejpam-5788	218	30	.	.	PROPN
ejpam-5788	218	31	2.2.2	2.2.2	NUM
ejpam-5788	218	32	.	.	PUNCT
ejpam-5788	219	1	em	em	PRON
ejpam-5788	219	2	algorithm	algorithm	VERB
ejpam-5788	219	3	the	the	DET
ejpam-5788	219	4	em	em	PROPN
ejpam-5788	219	5	algorithm	algorithm	NOUN
ejpam-5788	219	6	in	in	ADP
ejpam-5788	219	7	this	this	DET
ejpam-5788	219	8	section	section	NOUN
ejpam-5788	219	9	is	be	AUX
ejpam-5788	219	10	employed	employ	VERB
ejpam-5788	219	11	as	as	ADP
ejpam-5788	219	12	a	a	DET
ejpam-5788	219	13	viable	viable	ADJ
ejpam-5788	219	14	alternative	alternative	ADJ
ejpam-5788	219	15	method	method	NOUN
ejpam-5788	219	16	to	to	PART
ejpam-5788	219	17	approximate	approximate	VERB
ejpam-5788	219	18	the	the	DET
ejpam-5788	219	19	ml	ml	ADJ
ejpam-5788	219	20	estimate	estimate	NOUN
ejpam-5788	219	21	of	of	ADP
ejpam-5788	219	22	the	the	DET
ejpam-5788	219	23	unknown	unknown	ADJ
ejpam-5788	219	24	model	model	NOUN
ejpam-5788	219	25	parameters	parameter	NOUN
ejpam-5788	219	26	of	of	ADP
ejpam-5788	219	27	the	the	DET
ejpam-5788	219	28	npt	npt	PROPN
ejpam-5788	219	29	distribution	distribution	NOUN
ejpam-5788	219	30	.	.	PUNCT
ejpam-5788	220	1	this	this	PRON
ejpam-5788	220	2	is	be	AUX
ejpam-5788	220	3	done	do	VERB
ejpam-5788	220	4	by	by	ADP
ejpam-5788	220	5	taking	take	VERB
ejpam-5788	220	6	into	into	ADP
ejpam-5788	220	7	account	account	NOUN
ejpam-5788	220	8	the	the	DET
ejpam-5788	220	9	incomplete	incomplete	ADJ
ejpam-5788	220	10	nature	nature	NOUN
ejpam-5788	220	11	of	of	ADP
ejpam-5788	220	12	the	the	DET
ejpam-5788	220	13	available	available	ADJ
ejpam-5788	220	14	sample	sample	NOUN
ejpam-5788	220	15	,	,	PUNCT
ejpam-5788	220	16	which	which	PRON
ejpam-5788	220	17	is	be	AUX
ejpam-5788	220	18	characterized	characterize	VERB
ejpam-5788	220	19	as	as	ADP
ejpam-5788	220	20	a	a	DET
ejpam-5788	220	21	partially	partially	ADV
ejpam-5788	220	22	constant	constant	ADJ
ejpam-5788	220	23	-	-	PUNCT
ejpam-5788	220	24	stress	stress	NOUN
ejpam-5788	220	25	alt	alt	NOUN
ejpam-5788	220	26	under	under	ADP
ejpam-5788	220	27	type	type	NOUN
ejpam-5788	220	28	-	-	PUNCT
ejpam-5788	220	29	i	i	PRON
ejpam-5788	220	30	ghcs	ghcs	VERB
ejpam-5788	220	31	.	.	PUNCT
ejpam-5788	221	1	the	the	DET
ejpam-5788	221	2	algorithm	algorithm	NOUN
ejpam-5788	221	3	in	in	ADP
ejpam-5788	221	4	the	the	DET
ejpam-5788	221	5	discussion	discussion	NOUN
ejpam-5788	221	6	was	be	AUX
ejpam-5788	221	7	initially	initially	ADV
ejpam-5788	221	8	put	put	VERB
ejpam-5788	221	9	forth	forth	ADV
ejpam-5788	221	10	by	by	ADP
ejpam-5788	221	11	ref.[30	ref.[30	NOUN
ejpam-5788	221	12	]	]	PUNCT
ejpam-5788	221	13	and	and	CCONJ
ejpam-5788	221	14	subsequently	subsequently	ADV
ejpam-5788	221	15	received	receive	VERB
ejpam-5788	221	16	comprehensive	comprehensive	ADJ
ejpam-5788	221	17	analysis	analysis	NOUN
ejpam-5788	221	18	,	,	PUNCT
ejpam-5788	221	19	along	along	ADP
ejpam-5788	221	20	with	with	ADP
ejpam-5788	221	21	its	its	PRON
ejpam-5788	221	22	various	various	ADJ
ejpam-5788	221	23	adaptations	adaptation	NOUN
ejpam-5788	221	24	,	,	PUNCT
ejpam-5788	221	25	in	in	ADP
ejpam-5788	221	26	the	the	DET
ejpam-5788	221	27	publication	publication	NOUN
ejpam-5788	221	28	authored	author	VERB
ejpam-5788	221	29	by	by	ADP
ejpam-5788	221	30	ref.[31	ref.[31	NOUN
ejpam-5788	221	31	]	]	PUNCT
ejpam-5788	221	32	.	.	PUNCT
ejpam-5788	222	1	the	the	DET
ejpam-5788	222	2	em	em	PROPN
ejpam-5788	222	3	algorithm	algorithm	NOUN
ejpam-5788	222	4	involves	involve	VERB
ejpam-5788	222	5	a	a	DET
ejpam-5788	222	6	cyclic	cyclic	ADJ
ejpam-5788	222	7	process	process	NOUN
ejpam-5788	222	8	that	that	PRON
ejpam-5788	222	9	consists	consist	VERB
ejpam-5788	222	10	of	of	ADP
ejpam-5788	222	11	an	an	DET
ejpam-5788	222	12	expectation	expectation	NOUN
ejpam-5788	222	13	step	step	NOUN
ejpam-5788	222	14	(	(	PUNCT
ejpam-5788	222	15	e	e	NOUN
ejpam-5788	222	16	-	-	NOUN
ejpam-5788	222	17	step	step	NOUN
ejpam-5788	222	18	)	)	PUNCT
ejpam-5788	222	19	and	and	CCONJ
ejpam-5788	222	20	a	a	DET
ejpam-5788	222	21	maximization	maximization	NOUN
ejpam-5788	222	22	step	step	NOUN
ejpam-5788	222	23	(	(	PUNCT
ejpam-5788	222	24	m	m	NOUN
ejpam-5788	222	25	-	-	NOUN
ejpam-5788	222	26	step	step	NOUN
ejpam-5788	222	27	)	)	PUNCT
ejpam-5788	222	28	.	.	PUNCT
ejpam-5788	223	1	the	the	DET
ejpam-5788	223	2	e	e	NOUN
ejpam-5788	223	3	-	-	NOUN
ejpam-5788	223	4	step	step	NOUN
ejpam-5788	223	5	involves	involve	VERB
ejpam-5788	223	6	the	the	DET
ejpam-5788	223	7	computation	computation	NOUN
ejpam-5788	223	8	of	of	ADP
ejpam-5788	223	9	an	an	DET
ejpam-5788	223	10	expectation	expectation	NOUN
ejpam-5788	223	11	function	function	NOUN
ejpam-5788	223	12	for	for	ADP
ejpam-5788	223	13	the	the	DET
ejpam-5788	223	14	log	log	NOUN
ejpam-5788	223	15	-	-	PUNCT
ejpam-5788	223	16	likelihood	likelihood	NOUN
ejpam-5788	223	17	of	of	ADP
ejpam-5788	223	18	the	the	DET
ejpam-5788	223	19	current	current	ADJ
ejpam-5788	223	20	estimation	estimation	NOUN
ejpam-5788	223	21	evaluation	evaluation	NOUN
ejpam-5788	223	22	,	,	PUNCT
ejpam-5788	223	23	utilizing	utilize	VERB
ejpam-5788	223	24	the	the	DET
ejpam-5788	223	25	given	give	VERB
ejpam-5788	223	26	parameters	parameter	NOUN
ejpam-5788	223	27	.	.	PUNCT
ejpam-5788	224	1	on	on	ADP
ejpam-5788	224	2	the	the	DET
ejpam-5788	224	3	other	other	ADJ
ejpam-5788	224	4	hand	hand	NOUN
ejpam-5788	224	5	,	,	PUNCT
ejpam-5788	224	6	the	the	DET
ejpam-5788	224	7	m	m	NOUN
ejpam-5788	224	8	-	-	PUNCT
ejpam-5788	224	9	step	step	NOUN
ejpam-5788	224	10	entails	entail	VERB
ejpam-5788	224	11	the	the	DET
ejpam-5788	224	12	determination	determination	NOUN
ejpam-5788	224	13	of	of	ADP
ejpam-5788	224	14	the	the	DET
ejpam-5788	224	15	parameters	parameter	NOUN
ejpam-5788	224	16	that	that	PRON
ejpam-5788	224	17	optimize	optimize	VERB
ejpam-5788	224	18	the	the	DET
ejpam-5788	224	19	expected	expect	VERB
ejpam-5788	224	20	log	log	NOUN
ejpam-5788	224	21	-	-	PUNCT
ejpam-5788	224	22	likelihood	likelihood	NOUN
ejpam-5788	224	23	obtained	obtain	VERB
ejpam-5788	224	24	from	from	ADP
ejpam-5788	224	25	the	the	DET
ejpam-5788	224	26	e	e	NOUN
ejpam-5788	224	27	-	-	NOUN
ejpam-5788	224	28	step	step	NOUN
ejpam-5788	224	29	.	.	PUNCT
ejpam-5788	225	1	for	for	ADP
ejpam-5788	225	2	j	j	PROPN
ejpam-5788	225	3	=	=	SYM
ejpam-5788	225	4	1	1	NUM
ejpam-5788	225	5	,	,	PUNCT
ejpam-5788	225	6	2	2	NUM
ejpam-5788	225	7	,	,	PUNCT
ejpam-5788	225	8	let	let	VERB
ejpam-5788	225	9	xj	xj	PROPN
ejpam-5788	225	10	=	=	PRON
ejpam-5788	225	11	{	{	PUNCT
ejpam-5788	225	12	xj1	xj1	PROPN
ejpam-5788	225	13	,	,	PUNCT
ejpam-5788	225	14	.	.	PUNCT
ejpam-5788	225	15	.	.	PUNCT
ejpam-5788	226	1	.	.	PUNCT
ejpam-5788	227	1	,	,	PUNCT
ejpam-5788	227	2	xjdj	xjdj	PROPN
ejpam-5788	227	3	}	}	PUNCT
ejpam-5788	227	4	be	be	VERB
ejpam-5788	227	5	the	the	DET
ejpam-5788	227	6	observed	observe	VERB
ejpam-5788	227	7	data	datum	NOUN
ejpam-5788	227	8	and	and	CCONJ
ejpam-5788	227	9	uj	uj	PROPN
ejpam-5788	227	10	=	=	SYM
ejpam-5788	227	11	{	{	PUNCT
ejpam-5788	227	12	uj1	uj1	PROPN
ejpam-5788	227	13	,	,	PUNCT
ejpam-5788	227	14	.	.	PUNCT
ejpam-5788	227	15	.	.	PUNCT
ejpam-5788	228	1	.	.	PUNCT
ejpam-5788	229	1	,	,	PUNCT
ejpam-5788	229	2	uj(nj−dj	uj(nj−dj	PROPN
ejpam-5788	229	3	)	)	PUNCT
ejpam-5788	229	4	}	}	PUNCT
ejpam-5788	229	5	be	be	VERB
ejpam-5788	229	6	the	the	DET
ejpam-5788	229	7	censored	censor	VERB
ejpam-5788	229	8	data	datum	NOUN
ejpam-5788	229	9	under	under	ADP
ejpam-5788	229	10	the	the	DET
ejpam-5788	229	11	normal	normal	ADJ
ejpam-5788	229	12	use	use	NOUN
ejpam-5788	229	13	and	and	CCONJ
ejpam-5788	229	14	accelerated	accelerate	VERB
ejpam-5788	229	15	conditions	condition	NOUN
ejpam-5788	229	16	,	,	PUNCT
ejpam-5788	229	17	respectively	respectively	ADV
ejpam-5788	229	18	.	.	PUNCT
ejpam-5788	230	1	for	for	ADP
ejpam-5788	230	2	a	a	DET
ejpam-5788	230	3	given	give	VERB
ejpam-5788	230	4	dj	dj	NOUN
ejpam-5788	230	5	,	,	PUNCT
ejpam-5788	230	6	uj1	uj1	PROPN
ejpam-5788	230	7	,	,	PUNCT
ejpam-5788	230	8	.	.	PUNCT
ejpam-5788	230	9	.	.	PUNCT
ejpam-5788	230	10	.	.	PUNCT
ejpam-5788	231	1	,	,	PUNCT
ejpam-5788	231	2	uj(nj−dj	uj(nj−dj	PROPN
ejpam-5788	231	3	)	)	PUNCT
ejpam-5788	231	4	are	be	AUX
ejpam-5788	231	5	not	not	PART
ejpam-5788	231	6	observable	observable	ADJ
ejpam-5788	231	7	.	.	PUNCT
ejpam-5788	232	1	we	we	PRON
ejpam-5788	232	2	treated	treat	VERB
ejpam-5788	232	3	the	the	DET
ejpam-5788	232	4	censored	censor	VERB
ejpam-5788	232	5	observations	observation	NOUN
ejpam-5788	232	6	as	as	ADP
ejpam-5788	232	7	missing	miss	VERB
ejpam-5788	232	8	data	datum	NOUN
ejpam-5788	232	9	.	.	PUNCT
ejpam-5788	233	1	thus	thus	ADV
ejpam-5788	233	2	,	,	PUNCT
ejpam-5788	233	3	the	the	DET
ejpam-5788	233	4	combination	combination	NOUN
ejpam-5788	233	5	of	of	ADP
ejpam-5788	233	6	(	(	PUNCT
ejpam-5788	233	7	xj	xj	PROPN
ejpam-5788	233	8	,	,	PUNCT
ejpam-5788	233	9	uj	uj	PROPN
ejpam-5788	233	10	)	)	PUNCT
ejpam-5788	233	11	forms	form	NOUN
ejpam-5788	233	12	as	as	ADP
ejpam-5788	233	13	wj	wj	PROPN
ejpam-5788	233	14	=	=	SYM
ejpam-5788	233	15	(	(	PUNCT
ejpam-5788	233	16	xj	xj	PROPN
ejpam-5788	233	17	,	,	PUNCT
ejpam-5788	233	18	uj	uj	PROPN
ejpam-5788	233	19	)	)	PUNCT
ejpam-5788	233	20	represents	represent	VERB
ejpam-5788	233	21	the	the	DET
ejpam-5788	233	22	complete	complete	ADJ
ejpam-5788	233	23	partially	partially	ADV
ejpam-5788	233	24	constant	constant	ADJ
ejpam-5788	233	25	-	-	PUNCT
ejpam-5788	233	26	stress	stress	NOUN
ejpam-5788	233	27	alt	alt	NOUN
ejpam-5788	233	28	failure	failure	NOUN
ejpam-5788	233	29	data	datum	NOUN
ejpam-5788	233	30	set	set	VERB
ejpam-5788	233	31	,	,	PUNCT
ejpam-5788	233	32	for	for	ADP
ejpam-5788	233	33	which	which	PRON
ejpam-5788	233	34	the	the	DET
ejpam-5788	233	35	likelihood	likelihood	NOUN
ejpam-5788	233	36	function	function	VERB
ejpam-5788	233	37	a.	a.	NOUN
ejpam-5788	233	38	a.	a.	PROPN
ejpam-5788	233	39	soliman	soliman	PROPN
ejpam-5788	233	40	et	et	PROPN
ejpam-5788	233	41	al	al	PROPN
ejpam-5788	233	42	.	.	PUNCT
ejpam-5788	233	43	/	/	SYM
ejpam-5788	233	44	eur	eur	PROPN
ejpam-5788	233	45	.	.	PUNCT
ejpam-5788	234	1	j.	j.	PROPN
ejpam-5788	234	2	pure	pure	PROPN
ejpam-5788	234	3	appl	appl	PROPN
ejpam-5788	234	4	.	.	PROPN
ejpam-5788	234	5	math	math	PROPN
ejpam-5788	234	6	,	,	PUNCT
ejpam-5788	234	7	18	18	NUM
ejpam-5788	234	8	(	(	PUNCT
ejpam-5788	234	9	2	2	NUM
ejpam-5788	234	10	)	)	PUNCT
ejpam-5788	234	11	(	(	PUNCT
ejpam-5788	234	12	2025	2025	NUM
ejpam-5788	234	13	)	)	PUNCT
ejpam-5788	234	14	,	,	PUNCT
ejpam-5788	234	15	5788	5788	NUM
ejpam-5788	234	16	9	9	NUM
ejpam-5788	234	17	of	of	ADP
ejpam-5788	234	18	34	34	NUM
ejpam-5788	234	19	lc(w	lc(w	NUM
ejpam-5788	234	20	;	;	PUNCT
ejpam-5788	234	21	φ)can	φ)can	PROPN
ejpam-5788	234	22	be	be	AUX
ejpam-5788	234	23	expressed	express	VERB
ejpam-5788	234	24	as	as	ADP
ejpam-5788	234	25	;	;	PUNCT
ejpam-5788	234	26	lc(w	lc(w	NUM
ejpam-5788	234	27	;	;	PUNCT
ejpam-5788	234	28	φ	φ	NUM
ejpam-5788	234	29	)	)	PUNCT
ejpam-5788	234	30	∝	∝	NOUN
ejpam-5788	234	31	2∏	2∏	NUM
ejpam-5788	234	32	j=1	j=1	NOUN
ejpam-5788	234	33	{	{	PUNCT
ejpam-5788	234	34	dj∏	dj∏	NOUN
ejpam-5788	234	35	i=1	i=1	PRON
ejpam-5788	234	36	fj(xji;φ	fj(xji;φ	PROPN
ejpam-5788	234	37	)	)	PUNCT
ejpam-5788	234	38	nj−dj∏	nj−dj∏	NUM
ejpam-5788	234	39	i=1	i=1	PROPN
ejpam-5788	234	40	fj(uji;φ	fj(uji;φ	PROPN
ejpam-5788	234	41	)	)	PUNCT
ejpam-5788	234	42	}	}	PUNCT
ejpam-5788	234	43	.	.	PUNCT
ejpam-5788	235	1	(	(	PUNCT
ejpam-5788	235	2	10	10	NUM
ejpam-5788	235	3	)	)	PUNCT
ejpam-5788	235	4	after	after	ADP
ejpam-5788	235	5	disregarding	disregard	VERB
ejpam-5788	235	6	the	the	DET
ejpam-5788	235	7	constants	constant	NOUN
ejpam-5788	235	8	in	in	ADP
ejpam-5788	235	9	the	the	DET
ejpam-5788	235	10	above	above	ADJ
ejpam-5788	235	11	equation	equation	NOUN
ejpam-5788	235	12	,	,	PUNCT
ejpam-5788	235	13	the	the	DET
ejpam-5788	235	14	log	log	NOUN
ejpam-5788	235	15	-	-	PUNCT
ejpam-5788	235	16	likelihood	likelihood	NOUN
ejpam-5788	235	17	function	function	NOUN
ejpam-5788	235	18	denoted	denote	VERB
ejpam-5788	235	19	as	as	ADP
ejpam-5788	235	20	lc(w	lc(w	NUM
ejpam-5788	235	21	;	;	PUNCT
ejpam-5788	235	22	φ	φ	NUM
ejpam-5788	235	23	)	)	PUNCT
ejpam-5788	235	24	can	can	AUX
ejpam-5788	235	25	be	be	AUX
ejpam-5788	235	26	represented	represent	VERB
ejpam-5788	235	27	as	as	ADP
ejpam-5788	235	28	ℓc(w	ℓc(w	NUM
ejpam-5788	235	29	;	;	PUNCT
ejpam-5788	235	30	φ	φ	NUM
ejpam-5788	235	31	)	)	PUNCT
ejpam-5788	235	32	;	;	PUNCT
ejpam-5788	235	33	ℓc(w	ℓc(w	NUM
ejpam-5788	235	34	;	;	PUNCT
ejpam-5788	235	35	φ	φ	X
ejpam-5788	235	36	)	)	PUNCT
ejpam-5788	235	37	∝	∝	PROPN
ejpam-5788	235	38	λn2	λn2	X
ejpam-5788	235	39	log	log	VERB
ejpam-5788	235	40	2	2	NUM
ejpam-5788	235	41	+	+	CCONJ
ejpam-5788	235	42	(	(	PUNCT
ejpam-5788	235	43	n1	n1	PROPN
ejpam-5788	235	44	+	+	CCONJ
ejpam-5788	235	45	n2	n2	ADJ
ejpam-5788	235	46	)	)	PUNCT
ejpam-5788	235	47	log	log	NOUN
ejpam-5788	235	48	θ	θ	PROPN
ejpam-5788	235	49	+	+	CCONJ
ejpam-5788	235	50	n2	n2	ADJ
ejpam-5788	235	51	log	log	NOUN
ejpam-5788	235	52	λ+	λ+	PUNCT
ejpam-5788	235	53	θ(n1	θ(n1	NOUN
ejpam-5788	235	54	+	+	CCONJ
ejpam-5788	235	55	λn2	λn2	NOUN
ejpam-5788	235	56	)	)	PUNCT
ejpam-5788	235	57	log	log	NOUN
ejpam-5788	235	58	σ	σ	NOUN
ejpam-5788	235	59	+	+	CCONJ
ejpam-5788	235	60	(	(	PUNCT
ejpam-5788	235	61	θ	θ	NOUN
ejpam-5788	235	62	−	−	PROPN
ejpam-5788	235	63	1	1	NUM
ejpam-5788	235	64	)	)	PUNCT
ejpam-5788	235	65	2∑	2∑	NOUN
ejpam-5788	236	1	j=1	j=1	PROPN
ejpam-5788	236	2	dj∑	dj∑	PROPN
ejpam-5788	236	3	i=1	i=1	PROPN
ejpam-5788	237	1	log	log	VERB
ejpam-5788	237	2	xji	xji	NOUN
ejpam-5788	238	1	−	−	NOUN
ejpam-5788	239	1	2∑	2∑	NUM
ejpam-5788	239	2	j=1	j=1	NOUN
ejpam-5788	239	3	(	(	PUNCT
ejpam-5788	239	4	sj(λ	sj(λ	NOUN
ejpam-5788	239	5	)	)	PUNCT
ejpam-5788	239	6	+	+	CCONJ
ejpam-5788	239	7	1	1	X
ejpam-5788	239	8	)	)	PUNCT
ejpam-5788	239	9	dj∑	dj∑	PROPN
ejpam-5788	239	10	i=1	i=1	PROPN
ejpam-5788	239	11	log(xθji	log(xθji	PROPN
ejpam-5788	239	12	+	+	CCONJ
ejpam-5788	239	13	σθ	σθ	NOUN
ejpam-5788	239	14	)	)	PUNCT
ejpam-5788	239	15	+	+	CCONJ
ejpam-5788	239	16	(	(	PUNCT
ejpam-5788	239	17	θ	θ	NOUN
ejpam-5788	239	18	−	−	PROPN
ejpam-5788	239	19	1	1	NUM
ejpam-5788	239	20	)	)	PUNCT
ejpam-5788	239	21	2∑	2∑	NOUN
ejpam-5788	239	22	j=1	j=1	PROPN
ejpam-5788	239	23	nj−dj∑	nj−dj∑	VERB
ejpam-5788	239	24	i=1	i=1	PROPN
ejpam-5788	239	25	log	log	VERB
ejpam-5788	239	26	uji	uji	PROPN
ejpam-5788	240	1	−	−	NOUN
ejpam-5788	240	2	2∑	2∑	NUM
ejpam-5788	240	3	j=1	j=1	NOUN
ejpam-5788	240	4	(	(	PUNCT
ejpam-5788	240	5	sj(λ	sj(λ	NOUN
ejpam-5788	240	6	)	)	PUNCT
ejpam-5788	240	7	+	+	CCONJ
ejpam-5788	240	8	1	1	X
ejpam-5788	240	9	)	)	PUNCT
ejpam-5788	240	10	nj−dj∑	nj−dj∑	ADP
ejpam-5788	240	11	i=1	i=1	PROPN
ejpam-5788	241	1	log(uθji	log(uθji	PROPN
ejpam-5788	241	2	+	+	CCONJ
ejpam-5788	241	3	σθ	σθ	NOUN
ejpam-5788	241	4	)	)	PUNCT
ejpam-5788	241	5	.	.	PUNCT
ejpam-5788	242	1	(	(	PUNCT
ejpam-5788	242	2	11	11	X
ejpam-5788	242	3	)	)	PUNCT
ejpam-5788	242	4	it	it	PRON
ejpam-5788	242	5	is	be	AUX
ejpam-5788	242	6	evident	evident	ADJ
ejpam-5788	242	7	that	that	SCONJ
ejpam-5788	242	8	the	the	DET
ejpam-5788	242	9	function	function	NOUN
ejpam-5788	242	10	ℓc(w	ℓc(w	NUM
ejpam-5788	242	11	;	;	PUNCT
ejpam-5788	242	12	φ	φ	X
ejpam-5788	242	13	)	)	PUNCT
ejpam-5788	242	14	exhibits	exhibit	VERB
ejpam-5788	242	15	a	a	DET
ejpam-5788	242	16	monotonic	monotonic	ADJ
ejpam-5788	242	17	increase	increase	NOUN
ejpam-5788	242	18	with	with	ADP
ejpam-5788	242	19	respected	respect	VERB
ejpam-5788	242	20	to	to	ADP
ejpam-5788	242	21	σ	σ	PROPN
ejpam-5788	242	22	.	.	PUNCT
ejpam-5788	243	1	therefore	therefore	ADV
ejpam-5788	243	2	,	,	PUNCT
ejpam-5788	243	3	within	within	ADP
ejpam-5788	243	4	the	the	DET
ejpam-5788	243	5	framework	framework	NOUN
ejpam-5788	243	6	of	of	ADP
ejpam-5788	243	7	the	the	DET
ejpam-5788	243	8	em	em	PROPN
ejpam-5788	243	9	method	method	NOUN
ejpam-5788	243	10	,	,	PUNCT
ejpam-5788	243	11	the	the	DET
ejpam-5788	243	12	maximum	maximum	ADJ
ejpam-5788	243	13	likelihood	likelihood	NOUN
ejpam-5788	243	14	estimate	estimate	NOUN
ejpam-5788	243	15	(	(	PUNCT
ejpam-5788	243	16	mle	mle	PROPN
ejpam-5788	243	17	)	)	PUNCT
ejpam-5788	243	18	of	of	ADP
ejpam-5788	243	19	σ	σ	PROPN
ejpam-5788	243	20	is	be	AUX
ejpam-5788	243	21	given	give	VERB
ejpam-5788	243	22	by	by	ADP
ejpam-5788	243	23	σ̂em	σ̂em	ADJ
ejpam-5788	243	24	=	=	PROPN
ejpam-5788	243	25	x1	x1	PROPN
ejpam-5788	243	26	.	.	PUNCT
ejpam-5788	244	1	by	by	ADP
ejpam-5788	244	2	substituting	substitute	VERB
ejpam-5788	244	3	the	the	DET
ejpam-5788	244	4	symbol	symbol	NOUN
ejpam-5788	244	5	σ	σ	NOUN
ejpam-5788	244	6	into	into	ADP
ejpam-5788	244	7	eq.(11	eq.(11	PROPN
ejpam-5788	244	8	)	)	PUNCT
ejpam-5788	244	9	,	,	PUNCT
ejpam-5788	244	10	we	we	PRON
ejpam-5788	244	11	can	can	AUX
ejpam-5788	244	12	derive	derive	VERB
ejpam-5788	244	13	the	the	DET
ejpam-5788	244	14	profile	profile	NOUN
ejpam-5788	244	15	log	log	NOUN
ejpam-5788	244	16	-	-	PUNCT
ejpam-5788	244	17	likelihood	likelihood	NOUN
ejpam-5788	244	18	function	function	NOUN
ejpam-5788	244	19	for	for	ADP
ejpam-5788	244	20	the	the	DET
ejpam-5788	244	21	parameters	parameter	NOUN
ejpam-5788	244	22	θ	θ	PROPN
ejpam-5788	244	23	and	and	CCONJ
ejpam-5788	244	24	λ	λ	NOUN
ejpam-5788	244	25	;	;	PUNCT
ejpam-5788	244	26	ℓc(w	ℓc(w	NUM
ejpam-5788	244	27	;	;	PUNCT
ejpam-5788	244	28	φ	φ	X
ejpam-5788	244	29	)	)	PUNCT
ejpam-5788	244	30	∝	∝	PROPN
ejpam-5788	244	31	λn2	λn2	X
ejpam-5788	244	32	log	log	VERB
ejpam-5788	244	33	2	2	NUM
ejpam-5788	244	34	+	+	CCONJ
ejpam-5788	244	35	(	(	PUNCT
ejpam-5788	244	36	n1	n1	PROPN
ejpam-5788	244	37	+	+	CCONJ
ejpam-5788	244	38	n2	n2	ADJ
ejpam-5788	244	39	)	)	PUNCT
ejpam-5788	244	40	log	log	NOUN
ejpam-5788	244	41	θ	θ	PROPN
ejpam-5788	244	42	+	+	CCONJ
ejpam-5788	244	43	n2	n2	ADJ
ejpam-5788	244	44	log	log	NOUN
ejpam-5788	244	45	λ+	λ+	PUNCT
ejpam-5788	244	46	θ(n1	θ(n1	NOUN
ejpam-5788	244	47	+	+	CCONJ
ejpam-5788	244	48	λn2	λn2	NOUN
ejpam-5788	244	49	)	)	PUNCT
ejpam-5788	244	50	log	log	VERB
ejpam-5788	244	51	x1	x1	PROPN
ejpam-5788	245	1	+	+	CCONJ
ejpam-5788	245	2	(	(	PUNCT
ejpam-5788	245	3	θ	θ	NOUN
ejpam-5788	245	4	−	−	PROPN
ejpam-5788	245	5	1	1	NUM
ejpam-5788	245	6	)	)	PUNCT
ejpam-5788	245	7	2∑	2∑	NOUN
ejpam-5788	246	1	j=1	j=1	PROPN
ejpam-5788	246	2	dj∑	dj∑	PROPN
ejpam-5788	246	3	i=1	i=1	PROPN
ejpam-5788	247	1	log	log	VERB
ejpam-5788	247	2	xji	xji	NOUN
ejpam-5788	248	1	−	−	NOUN
ejpam-5788	249	1	2∑	2∑	NUM
ejpam-5788	249	2	j=1	j=1	NOUN
ejpam-5788	249	3	(	(	PUNCT
ejpam-5788	249	4	sj(λ	sj(λ	NOUN
ejpam-5788	249	5	)	)	PUNCT
ejpam-5788	249	6	+	+	CCONJ
ejpam-5788	249	7	1	1	X
ejpam-5788	249	8	)	)	PUNCT
ejpam-5788	249	9	dj∑	dj∑	PROPN
ejpam-5788	249	10	i=1	i=1	PROPN
ejpam-5788	249	11	log(xθji	log(xθji	PROPN
ejpam-5788	249	12	+	+	CCONJ
ejpam-5788	249	13	xθ1	xθ1	ADJ
ejpam-5788	249	14	)	)	PUNCT
ejpam-5788	250	1	+	+	CCONJ
ejpam-5788	250	2	(	(	PUNCT
ejpam-5788	250	3	θ	θ	X
ejpam-5788	250	4	−	−	PROPN
ejpam-5788	250	5	1	1	NUM
ejpam-5788	250	6	)	)	PUNCT
ejpam-5788	250	7	2∑	2∑	NOUN
ejpam-5788	250	8	j=1	j=1	PROPN
ejpam-5788	250	9	nj−dj∑	nj−dj∑	VERB
ejpam-5788	250	10	i=1	i=1	PROPN
ejpam-5788	250	11	log	log	VERB
ejpam-5788	250	12	uji	uji	PROPN
ejpam-5788	251	1	−	−	NOUN
ejpam-5788	251	2	2∑	2∑	NUM
ejpam-5788	251	3	j=1	j=1	NOUN
ejpam-5788	251	4	(	(	PUNCT
ejpam-5788	251	5	sj(λ	sj(λ	NOUN
ejpam-5788	251	6	)	)	PUNCT
ejpam-5788	251	7	+	+	CCONJ
ejpam-5788	251	8	1	1	X
ejpam-5788	251	9	)	)	PUNCT
ejpam-5788	251	10	nj−dj∑	nj−dj∑	ADP
ejpam-5788	251	11	i=1	i=1	PROPN
ejpam-5788	251	12	log(uθji	log(uθji	PROPN
ejpam-5788	251	13	+	+	CCONJ
ejpam-5788	251	14	xθ1	xθ1	ADJ
ejpam-5788	251	15	)	)	PUNCT
ejpam-5788	251	16	.	.	PUNCT
ejpam-5788	252	1	(	(	PUNCT
ejpam-5788	252	2	12	12	NUM
ejpam-5788	252	3	)	)	PUNCT
ejpam-5788	252	4	the	the	DET
ejpam-5788	252	5	em	em	PROPN
ejpam-5788	252	6	algorithm	algorithm	NOUN
ejpam-5788	252	7	consists	consist	VERB
ejpam-5788	252	8	of	of	ADP
ejpam-5788	252	9	two	two	NUM
ejpam-5788	252	10	primary	primary	ADJ
ejpam-5788	252	11	steps	step	NOUN
ejpam-5788	252	12	:	:	PUNCT
ejpam-5788	252	13	the	the	DET
ejpam-5788	252	14	initial	initial	ADJ
ejpam-5788	252	15	phase	phase	NOUN
ejpam-5788	252	16	,	,	PUNCT
ejpam-5788	252	17	known	know	VERB
ejpam-5788	252	18	as	as	ADP
ejpam-5788	252	19	the	the	DET
ejpam-5788	252	20	expectation	expectation	NOUN
ejpam-5788	252	21	step	step	NOUN
ejpam-5788	252	22	(	(	PUNCT
ejpam-5788	252	23	e	e	NOUN
ejpam-5788	252	24	-	-	NOUN
ejpam-5788	252	25	step	step	NOUN
ejpam-5788	252	26	)	)	PUNCT
ejpam-5788	252	27	,	,	PUNCT
ejpam-5788	252	28	is	be	AUX
ejpam-5788	252	29	succeeded	succeed	VERB
ejpam-5788	252	30	by	by	ADP
ejpam-5788	252	31	the	the	DET
ejpam-5788	252	32	maximization	maximization	NOUN
ejpam-5788	252	33	step	step	NOUN
ejpam-5788	252	34	(	(	PUNCT
ejpam-5788	252	35	m	m	NOUN
ejpam-5788	252	36	-	-	NOUN
ejpam-5788	252	37	step	step	NOUN
ejpam-5788	252	38	)	)	PUNCT
ejpam-5788	252	39	,	,	PUNCT
ejpam-5788	252	40	and	and	CCONJ
ejpam-5788	252	41	this	this	DET
ejpam-5788	252	42	iterative	iterative	NOUN
ejpam-5788	252	43	process	process	NOUN
ejpam-5788	252	44	continues	continue	VERB
ejpam-5788	252	45	until	until	ADP
ejpam-5788	252	46	meeting	meet	VERB
ejpam-5788	252	47	the	the	DET
ejpam-5788	252	48	specified	specify	VERB
ejpam-5788	252	49	convergence	convergence	NOUN
ejpam-5788	252	50	criteria	criterion	NOUN
ejpam-5788	252	51	.	.	PUNCT
ejpam-5788	253	1	during	during	ADP
ejpam-5788	253	2	each	each	DET
ejpam-5788	253	3	iteration	iteration	NOUN
ejpam-5788	253	4	,	,	PUNCT
ejpam-5788	253	5	the	the	DET
ejpam-5788	253	6	missing	miss	VERB
ejpam-5788	253	7	data	datum	NOUN
ejpam-5788	253	8	are	be	AUX
ejpam-5788	253	9	imputed	impute	VERB
ejpam-5788	253	10	with	with	ADP
ejpam-5788	253	11	expected	expect	VERB
ejpam-5788	253	12	values	value	NOUN
ejpam-5788	253	13	,	,	PUNCT
ejpam-5788	253	14	resulting	result	VERB
ejpam-5788	253	15	in	in	ADP
ejpam-5788	253	16	the	the	DET
ejpam-5788	253	17	subsequent	subsequent	ADJ
ejpam-5788	253	18	update	update	NOUN
ejpam-5788	253	19	of	of	ADP
ejpam-5788	253	20	parameter	parameter	NOUN
ejpam-5788	253	21	estimations	estimation	NOUN
ejpam-5788	253	22	.	.	PUNCT
ejpam-5788	254	1	•	•	NUM
ejpam-5788	254	2	expectation	expectation	NOUN
ejpam-5788	254	3	step	step	NOUN
ejpam-5788	254	4	(	(	PUNCT
ejpam-5788	254	5	e	e	NOUN
ejpam-5788	254	6	-	-	NOUN
ejpam-5788	254	7	step	step	NOUN
ejpam-5788	254	8	):	):	PUNCT
ejpam-5788	254	9	this	this	DET
ejpam-5788	254	10	phase	phase	NOUN
ejpam-5788	254	11	entails	entail	VERB
ejpam-5788	254	12	calculating	calculate	VERB
ejpam-5788	254	13	the	the	DET
ejpam-5788	254	14	conditional	conditional	ADJ
ejpam-5788	254	15	expectation	expectation	NOUN
ejpam-5788	254	16	of	of	ADP
ejpam-5788	254	17	the	the	DET
ejpam-5788	254	18	log	log	NOUN
ejpam-5788	254	19	-	-	PUNCT
ejpam-5788	254	20	likelihood	likelihood	NOUN
ejpam-5788	254	21	,	,	PUNCT
ejpam-5788	254	22	considering	consider	VERB
ejpam-5788	254	23	the	the	DET
ejpam-5788	254	24	incomplete	incomplete	ADJ
ejpam-5788	254	25	data	datum	NOUN
ejpam-5788	254	26	given	give	VERB
ejpam-5788	254	27	the	the	DET
ejpam-5788	254	28	observed	observe	VERB
ejpam-5788	254	29	data	datum	NOUN
ejpam-5788	254	30	.	.	PUNCT
ejpam-5788	255	1	in	in	ADP
ejpam-5788	255	2	order	order	NOUN
ejpam-5788	255	3	to	to	PART
ejpam-5788	255	4	meet	meet	VERB
ejpam-5788	255	5	the	the	DET
ejpam-5788	255	6	requirements	requirement	NOUN
ejpam-5788	255	7	of	of	ADP
ejpam-5788	255	8	the	the	DET
ejpam-5788	255	9	e	e	NOUN
ejpam-5788	255	10	-	-	NOUN
ejpam-5788	255	11	stage	stage	NOUN
ejpam-5788	255	12	,	,	PUNCT
ejpam-5788	255	13	it	it	PRON
ejpam-5788	255	14	is	be	AUX
ejpam-5788	255	15	necessary	necessary	ADJ
ejpam-5788	255	16	to	to	PART
ejpam-5788	255	17	calculate	calculate	VERB
ejpam-5788	255	18	the	the	DET
ejpam-5788	255	19	pseudo	pseudo	NOUN
ejpam-5788	255	20	-	-	PUNCT
ejpam-5788	255	21	log	log	NOUN
ejpam-5788	255	22	-	-	PUNCT
ejpam-5788	255	23	likelihood	likelihood	NOUN
ejpam-5788	255	24	function	function	NOUN
ejpam-5788	255	25	.	.	PUNCT
ejpam-5788	256	1	this	this	PRON
ejpam-5788	256	2	may	may	AUX
ejpam-5788	256	3	be	be	AUX
ejpam-5788	256	4	derived	derive	VERB
ejpam-5788	256	5	from	from	ADP
ejpam-5788	256	6	the	the	DET
ejpam-5788	256	7	function	function	NOUN
ejpam-5788	256	8	ℓc(w	ℓc(w	NUM
ejpam-5788	256	9	;	;	PUNCT
ejpam-5788	256	10	φ	φ	NUM
ejpam-5788	256	11	)	)	PUNCT
ejpam-5788	256	12	by	by	ADP
ejpam-5788	256	13	substituting	substitute	VERB
ejpam-5788	256	14	any	any	DET
ejpam-5788	256	15	function	function	NOUN
ejpam-5788	256	16	of	of	ADP
ejpam-5788	256	17	uji	uji	PROPN
ejpam-5788	256	18	,	,	PUNCT
ejpam-5788	256	19	denoted	denote	VERB
ejpam-5788	256	20	as	as	ADP
ejpam-5788	256	21	g(uji	g(uji	PROPN
ejpam-5788	256	22	)	)	PUNCT
ejpam-5788	256	23	,	,	PUNCT
ejpam-5788	256	24	with	with	ADP
ejpam-5788	256	25	the	the	DET
ejpam-5788	256	26	corresponding	corresponding	ADJ
ejpam-5788	256	27	conditional	conditional	ADJ
ejpam-5788	256	28	expectation	expectation	NOUN
ejpam-5788	256	29	”	"	PUNCT
ejpam-5788	256	30	e	e	X
ejpam-5788	256	31	[	[	PUNCT
ejpam-5788	256	32	g(uji)|uji	g(uji)|uji	X
ejpam-5788	256	33	>	>	X
ejpam-5788	256	34	cj	cj	PROPN
ejpam-5788	256	35	]	]	PUNCT
ejpam-5788	256	36	”	"	PUNCT
ejpam-5788	256	37	.	.	PUNCT
ejpam-5788	257	1	consequently	consequently	ADV
ejpam-5788	257	2	;	;	PUNCT
ejpam-5788	257	3	ℓs(θ	ℓs(θ	X
ejpam-5788	257	4	,	,	PUNCT
ejpam-5788	257	5	λ	λ	X
ejpam-5788	257	6	)	)	PUNCT
ejpam-5788	257	7	=	=	SYM
ejpam-5788	257	8	e	e	X
ejpam-5788	257	9	[	[	PUNCT
ejpam-5788	257	10	ℓc(w	ℓc(w	NUM
ejpam-5788	257	11	;	;	PUNCT
ejpam-5788	257	12	θ	θ	PROPN
ejpam-5788	257	13	,	,	PUNCT
ejpam-5788	257	14	λ)|uj	λ)|uj	PROPN
ejpam-5788	257	15	]	]	PUNCT
ejpam-5788	257	16	=	=	PUNCT
ejpam-5788	258	1	λn2	λn2	NOUN
ejpam-5788	258	2	log	log	VERB
ejpam-5788	258	3	2	2	NUM
ejpam-5788	258	4	+	+	CCONJ
ejpam-5788	258	5	(	(	PUNCT
ejpam-5788	258	6	n1	n1	PROPN
ejpam-5788	258	7	+	+	CCONJ
ejpam-5788	258	8	n2	n2	ADJ
ejpam-5788	258	9	)	)	PUNCT
ejpam-5788	258	10	log	log	NOUN
ejpam-5788	258	11	θ	θ	PROPN
ejpam-5788	258	12	+	+	CCONJ
ejpam-5788	258	13	θ(n1	θ(n1	NOUN
ejpam-5788	258	14	+	+	CCONJ
ejpam-5788	258	15	λn2	λn2	NOUN
ejpam-5788	258	16	)	)	PUNCT
ejpam-5788	258	17	log	log	VERB
ejpam-5788	258	18	x1	x1	NUM
ejpam-5788	259	1	a.	a.	NOUN
ejpam-5788	259	2	a.	a.	PROPN
ejpam-5788	259	3	soliman	soliman	PROPN
ejpam-5788	259	4	et	et	PROPN
ejpam-5788	259	5	al	al	PROPN
ejpam-5788	259	6	.	.	PUNCT
ejpam-5788	259	7	/	/	SYM
ejpam-5788	259	8	eur	eur	PROPN
ejpam-5788	259	9	.	.	PUNCT
ejpam-5788	260	1	j.	j.	PROPN
ejpam-5788	260	2	pure	pure	PROPN
ejpam-5788	260	3	appl	appl	PROPN
ejpam-5788	260	4	.	.	PROPN
ejpam-5788	260	5	math	math	PROPN
ejpam-5788	260	6	,	,	PUNCT
ejpam-5788	260	7	18	18	NUM
ejpam-5788	260	8	(	(	PUNCT
ejpam-5788	260	9	2	2	NUM
ejpam-5788	260	10	)	)	PUNCT
ejpam-5788	260	11	(	(	PUNCT
ejpam-5788	260	12	2025	2025	NUM
ejpam-5788	260	13	)	)	PUNCT
ejpam-5788	260	14	,	,	PUNCT
ejpam-5788	260	15	5788	5788	NUM
ejpam-5788	260	16	10	10	NUM
ejpam-5788	260	17	of	of	ADP
ejpam-5788	260	18	34	34	NUM
ejpam-5788	260	19	+	+	CCONJ
ejpam-5788	260	20	(	(	PUNCT
ejpam-5788	260	21	θ	θ	NOUN
ejpam-5788	260	22	−	−	PROPN
ejpam-5788	260	23	1	1	NUM
ejpam-5788	260	24	)	)	PUNCT
ejpam-5788	260	25	2∑	2∑	NOUN
ejpam-5788	261	1	j=1	j=1	PROPN
ejpam-5788	261	2	nj−dj∑	nj−dj∑	ADP
ejpam-5788	261	3	i=1	i=1	PROPN
ejpam-5788	261	4	e	e	PROPN
ejpam-5788	261	5	[	[	PUNCT
ejpam-5788	261	6	log	log	X
ejpam-5788	261	7	uji	uji	PROPN
ejpam-5788	261	8	]	]	PUNCT
ejpam-5788	262	1	−	−	PROPN
ejpam-5788	262	2	2∑	2∑	NUM
ejpam-5788	262	3	j=1	j=1	NOUN
ejpam-5788	262	4	(	(	PUNCT
ejpam-5788	262	5	sj(λ	sj(λ	NOUN
ejpam-5788	262	6	)	)	PUNCT
ejpam-5788	262	7	+	+	CCONJ
ejpam-5788	262	8	1	1	X
ejpam-5788	262	9	)	)	PUNCT
ejpam-5788	262	10	nj−dj∑	nj−dj∑	ADP
ejpam-5788	262	11	i=1	i=1	PROPN
ejpam-5788	262	12	e	e	PROPN
ejpam-5788	263	1	[	[	PUNCT
ejpam-5788	263	2	log(uθji	log(uθji	PROPN
ejpam-5788	263	3	+	+	CCONJ
ejpam-5788	263	4	xθ1	xθ1	ADJ
ejpam-5788	263	5	)	)	PUNCT
ejpam-5788	263	6	]	]	PUNCT
ejpam-5788	264	1	+	+	CCONJ
ejpam-5788	264	2	n2	n2	ADJ
ejpam-5788	264	3	log	log	NOUN
ejpam-5788	264	4	λ+	λ+	PUNCT
ejpam-5788	264	5	(	(	PUNCT
ejpam-5788	264	6	θ	θ	NOUN
ejpam-5788	264	7	−	−	PROPN
ejpam-5788	264	8	1	1	NUM
ejpam-5788	264	9	)	)	PUNCT
ejpam-5788	264	10	2∑	2∑	NOUN
ejpam-5788	264	11	j=1	j=1	PROPN
ejpam-5788	264	12	dj∑	dj∑	PROPN
ejpam-5788	264	13	i=1	i=1	PROPN
ejpam-5788	264	14	log	log	VERB
ejpam-5788	264	15	xji	xji	NOUN
ejpam-5788	265	1	−	−	NOUN
ejpam-5788	266	1	2∑	2∑	NUM
ejpam-5788	266	2	j=1	j=1	NOUN
ejpam-5788	266	3	(	(	PUNCT
ejpam-5788	266	4	sj(λ	sj(λ	NOUN
ejpam-5788	266	5	)	)	PUNCT
ejpam-5788	266	6	+	+	CCONJ
ejpam-5788	266	7	1	1	X
ejpam-5788	266	8	)	)	PUNCT
ejpam-5788	266	9	dj∑	dj∑	PROPN
ejpam-5788	266	10	i=1	i=1	PROPN
ejpam-5788	266	11	log(xθji	log(xθji	PROPN
ejpam-5788	266	12	+	+	CCONJ
ejpam-5788	266	13	xθ1	xθ1	ADJ
ejpam-5788	266	14	)	)	PUNCT
ejpam-5788	266	15	(	(	PUNCT
ejpam-5788	266	16	13	13	NUM
ejpam-5788	266	17	)	)	PUNCT
ejpam-5788	266	18	following	follow	VERB
ejpam-5788	266	19	that	that	PRON
ejpam-5788	266	20	,	,	PUNCT
ejpam-5788	266	21	the	the	DET
ejpam-5788	266	22	expectation	expectation	NOUN
ejpam-5788	266	23	step	step	NOUN
ejpam-5788	266	24	(	(	PUNCT
ejpam-5788	266	25	e	e	NOUN
ejpam-5788	266	26	-	-	NOUN
ejpam-5788	266	27	step	step	NOUN
ejpam-5788	266	28	)	)	PUNCT
ejpam-5788	266	29	requires	require	VERB
ejpam-5788	266	30	the	the	DET
ejpam-5788	266	31	calculation	calculation	NOUN
ejpam-5788	266	32	of	of	ADP
ejpam-5788	266	33	the	the	DET
ejpam-5788	266	34	expected	expect	VERB
ejpam-5788	266	35	value	value	NOUN
ejpam-5788	266	36	of	of	ADP
ejpam-5788	266	37	the	the	DET
ejpam-5788	266	38	logarithm	logarithm	NOUN
ejpam-5788	266	39	of	of	ADP
ejpam-5788	266	40	uji	uji	PROPN
ejpam-5788	266	41	,	,	PUNCT
ejpam-5788	266	42	given	give	VERB
ejpam-5788	266	43	that	that	SCONJ
ejpam-5788	266	44	uji	uji	PROPN
ejpam-5788	266	45	is	be	AUX
ejpam-5788	266	46	greater	great	ADJ
ejpam-5788	266	47	than	than	ADP
ejpam-5788	266	48	cj	cj	NOUN
ejpam-5788	266	49	.	.	PUNCT
ejpam-5788	267	1	the	the	DET
ejpam-5788	267	2	expression	expression	NOUN
ejpam-5788	267	3	may	may	AUX
ejpam-5788	267	4	be	be	AUX
ejpam-5788	267	5	rewritten	rewrite	VERB
ejpam-5788	267	6	as	as	ADP
ejpam-5788	267	7	e	e	NOUN
ejpam-5788	267	8	[	[	PUNCT
ejpam-5788	267	9	log(uθji	log(uθji	PROPN
ejpam-5788	267	10	+	+	CCONJ
ejpam-5788	267	11	xθ1	xθ1	ADJ
ejpam-5788	267	12	)	)	PUNCT
ejpam-5788	267	13	∣∣∣∣uji	∣∣∣∣uji	PROPN
ejpam-5788	267	14	>	>	PUNCT
ejpam-5788	267	15	cj	cj	PROPN
ejpam-5788	267	16	]	]	PUNCT
ejpam-5788	267	17	,	,	PUNCT
ejpam-5788	267	18	where	where	SCONJ
ejpam-5788	267	19	uji	uji	PROPN
ejpam-5788	267	20	and	and	CCONJ
ejpam-5788	267	21	x1	x1	PROPN
ejpam-5788	267	22	are	be	AUX
ejpam-5788	267	23	variables	variable	NOUN
ejpam-5788	267	24	,	,	PUNCT
ejpam-5788	267	25	θ	θ	PROPN
ejpam-5788	267	26	is	be	AUX
ejpam-5788	267	27	a	a	DET
ejpam-5788	267	28	parameter	parameter	NOUN
ejpam-5788	267	29	.	.	PUNCT
ejpam-5788	268	1	the	the	DET
ejpam-5788	268	2	conditional	conditional	ADJ
ejpam-5788	268	3	probability	probability	NOUN
ejpam-5788	268	4	function	function	NOUN
ejpam-5788	268	5	of	of	ADP
ejpam-5788	268	6	the	the	DET
ejpam-5788	268	7	censored	censored	ADJ
ejpam-5788	268	8	data	datum	NOUN
ejpam-5788	268	9	,	,	PUNCT
ejpam-5788	268	10	given	give	VERB
ejpam-5788	268	11	the	the	DET
ejpam-5788	268	12	observed	observe	VERB
ejpam-5788	268	13	data	datum	NOUN
ejpam-5788	268	14	,	,	PUNCT
ejpam-5788	268	15	can	can	AUX
ejpam-5788	268	16	be	be	AUX
ejpam-5788	268	17	computed	compute	VERB
ejpam-5788	268	18	according	accord	VERB
ejpam-5788	268	19	to	to	ADP
ejpam-5788	268	20	ref.[32	ref.[32	NOUN
ejpam-5788	268	21	]	]	PUNCT
ejpam-5788	268	22	.	.	PUNCT
ejpam-5788	269	1	fuj	fuj	PROPN
ejpam-5788	269	2	|xj	|xj	X
ejpam-5788	269	3	(	(	PUNCT
ejpam-5788	269	4	uji|xji	uji|xji	X
ejpam-5788	269	5	;	;	PUNCT
ejpam-5788	269	6	φ	φ	NUM
ejpam-5788	269	7	)	)	PUNCT
ejpam-5788	270	1	=	=	SYM
ejpam-5788	270	2	f(uji	f(uji	PROPN
ejpam-5788	270	3	,	,	PUNCT
ejpam-5788	270	4	φ	φ	NUM
ejpam-5788	270	5	)	)	PUNCT
ejpam-5788	270	6	1−	1−	NUM
ejpam-5788	270	7	f	f	X
ejpam-5788	270	8	(	(	PUNCT
ejpam-5788	270	9	xji	xji	PROPN
ejpam-5788	270	10	,	,	PUNCT
ejpam-5788	270	11	φ	φ	NUM
ejpam-5788	270	12	)	)	PUNCT
ejpam-5788	270	13	=	=	SYM
ejpam-5788	270	14	θsj(λ)(c	θsj(λ)(c	NUM
ejpam-5788	270	15	θ	θ	X
ejpam-5788	270	16	j	j	PROPN
ejpam-5788	271	1	+	+	CCONJ
ejpam-5788	271	2	σθ)sj(λ)uθ−1	σθ)sj(λ)uθ−1	X
ejpam-5788	271	3	ji	ji	X
ejpam-5788	271	4	(	(	PUNCT
ejpam-5788	271	5	uθji	uθji	PROPN
ejpam-5788	271	6	+	+	CCONJ
ejpam-5788	271	7	σθ)sj(λ)+1	σθ)sj(λ)+1	PROPN
ejpam-5788	271	8	,	,	PUNCT
ejpam-5788	271	9	uji	uji	PROPN
ejpam-5788	271	10	>	>	X
ejpam-5788	271	11	cj	cj	PROPN
ejpam-5788	271	12	,	,	PUNCT
ejpam-5788	271	13	i	i	PRON
ejpam-5788	271	14	=	=	NOUN
ejpam-5788	271	15	1	1	NUM
ejpam-5788	271	16	,	,	PUNCT
ejpam-5788	271	17	.	.	PUNCT
ejpam-5788	271	18	.	.	PUNCT
ejpam-5788	272	1	.	.	PUNCT
ejpam-5788	273	1	,	,	PUNCT
ejpam-5788	273	2	dj	dj	NOUN
ejpam-5788	273	3	,	,	PUNCT
ejpam-5788	273	4	j	j	PROPN
ejpam-5788	273	5	=	=	SYM
ejpam-5788	273	6	1	1	NUM
ejpam-5788	273	7	,	,	PUNCT
ejpam-5788	273	8	2	2	NUM
ejpam-5788	273	9	.	.	PUNCT
ejpam-5788	273	10	(	(	PUNCT
ejpam-5788	273	11	14	14	NUM
ejpam-5788	273	12	)	)	PUNCT
ejpam-5788	273	13	hence	hence	ADV
ejpam-5788	273	14	,	,	PUNCT
ejpam-5788	273	15	the	the	DET
ejpam-5788	273	16	required	require	VERB
ejpam-5788	273	17	expected	expect	VERB
ejpam-5788	273	18	values	value	NOUN
ejpam-5788	273	19	of	of	ADP
ejpam-5788	273	20	a	a	DET
ejpam-5788	273	21	npt	npt	PROPN
ejpam-5788	273	22	distribution	distribution	NOUN
ejpam-5788	273	23	from	from	ADP
ejpam-5788	273	24	the	the	DET
ejpam-5788	273	25	left	left	NOUN
ejpam-5788	273	26	at	at	ADP
ejpam-5788	273	27	cj	cj	NOUN
ejpam-5788	273	28	are	be	AUX
ejpam-5788	273	29	,	,	PUNCT
ejpam-5788	273	30	respectively	respectively	ADV
ejpam-5788	273	31	,	,	PUNCT
ejpam-5788	273	32	given	give	VERB
ejpam-5788	273	33	by	by	ADP
ejpam-5788	273	34	;	;	PUNCT
ejpam-5788	273	35	e	e	X
ejpam-5788	273	36	[	[	PUNCT
ejpam-5788	273	37	log(uji)|uji	log(uji)|uji	X
ejpam-5788	273	38	>	>	X
ejpam-5788	273	39	cj	cj	X
ejpam-5788	273	40	]	]	PUNCT
ejpam-5788	274	1	=	=	PUNCT
ejpam-5788	274	2	θsj(λ)(c	θsj(λ)(c	NUM
ejpam-5788	274	3	θ	θ	X
ejpam-5788	274	4	j	j	PROPN
ejpam-5788	274	5	+	+	CCONJ
ejpam-5788	274	6	xθ1	xθ1	ADJ
ejpam-5788	274	7	)	)	PUNCT
ejpam-5788	274	8	sj(λ	sj(λ	NUM
ejpam-5788	274	9	)	)	PUNCT
ejpam-5788	274	10	∫	∫	PROPN
ejpam-5788	275	1	∞	∞	PROPN
ejpam-5788	275	2	cj	cj	PROPN
ejpam-5788	275	3	yθ−1	yθ−1	PROPN
ejpam-5788	275	4	log(y	log(y	PROPN
ejpam-5788	275	5	)	)	PUNCT
ejpam-5788	275	6	(	(	PUNCT
ejpam-5788	275	7	yθ	yθ	NOUN
ejpam-5788	275	8	+	+	CCONJ
ejpam-5788	275	9	xθ1	xθ1	ADJ
ejpam-5788	275	10	)	)	PUNCT
ejpam-5788	275	11	sj(λ)+1	sj(λ)+1	NOUN
ejpam-5788	275	12	dy	dy	NOUN
ejpam-5788	275	13	=	=	NOUN
ejpam-5788	275	14	log(cj	log(cj	NOUN
ejpam-5788	275	15	)	)	PUNCT
ejpam-5788	276	1	+	+	CCONJ
ejpam-5788	276	2	(	(	PUNCT
ejpam-5788	276	3	cθ	cθ	ADP
ejpam-5788	276	4	j	j	PROPN
ejpam-5788	276	5	+	+	CCONJ
ejpam-5788	276	6	xθ1	xθ1	ADJ
ejpam-5788	276	7	)	)	PUNCT
ejpam-5788	276	8	sj(λ	sj(λ	NUM
ejpam-5788	276	9	)	)	PUNCT
ejpam-5788	276	10	∫	∫	PROPN
ejpam-5788	277	1	∞	∞	NUM
ejpam-5788	277	2	cj	cj	PROPN
ejpam-5788	277	3	1	1	NUM
ejpam-5788	277	4	y(yθ	y(yθ	PROPN
ejpam-5788	277	5	+	+	CCONJ
ejpam-5788	277	6	xθ1	xθ1	ADJ
ejpam-5788	277	7	)	)	PUNCT
ejpam-5788	277	8	sj(λ	sj(λ	NOUN
ejpam-5788	277	9	)	)	PUNCT
ejpam-5788	277	10	dy	dy	NOUN
ejpam-5788	277	11	=	=	SYM
ejpam-5788	277	12	ℑ1(cj	ℑ1(cj	PROPN
ejpam-5788	277	13	,	,	PUNCT
ejpam-5788	277	14	θ	θ	PROPN
ejpam-5788	277	15	,	,	PUNCT
ejpam-5788	277	16	λ	λ	NOUN
ejpam-5788	277	17	)	)	PUNCT
ejpam-5788	277	18	.	.	PUNCT
ejpam-5788	278	1	(	(	PUNCT
ejpam-5788	278	2	15	15	NUM
ejpam-5788	278	3	)	)	PUNCT
ejpam-5788	278	4	and	and	CCONJ
ejpam-5788	278	5	e	e	X
ejpam-5788	278	6	[	[	PUNCT
ejpam-5788	278	7	log(uθji	log(uθji	PROPN
ejpam-5788	278	8	+	+	CCONJ
ejpam-5788	278	9	xθ1)|uji	xθ1)|uji	PROPN
ejpam-5788	278	10	>	>	X
ejpam-5788	278	11	cj	cj	X
ejpam-5788	278	12	]	]	PUNCT
ejpam-5788	279	1	=	=	PUNCT
ejpam-5788	279	2	θsj(λ)(c	θsj(λ)(c	NUM
ejpam-5788	279	3	θ	θ	X
ejpam-5788	279	4	j	j	PROPN
ejpam-5788	279	5	+	+	CCONJ
ejpam-5788	279	6	xθ1	xθ1	ADJ
ejpam-5788	279	7	)	)	PUNCT
ejpam-5788	279	8	sj(λ	sj(λ	NUM
ejpam-5788	279	9	)	)	PUNCT
ejpam-5788	279	10	∫	∫	PROPN
ejpam-5788	280	1	∞	∞	PROPN
ejpam-5788	280	2	cj	cj	PROPN
ejpam-5788	280	3	yθ−1	yθ−1	PROPN
ejpam-5788	280	4	log(yθ	log(yθ	VERB
ejpam-5788	280	5	+	+	CCONJ
ejpam-5788	280	6	xθ1	xθ1	ADJ
ejpam-5788	280	7	)	)	PUNCT
ejpam-5788	280	8	(	(	PUNCT
ejpam-5788	280	9	yθ	yθ	NOUN
ejpam-5788	280	10	+	+	CCONJ
ejpam-5788	280	11	xθ1	xθ1	ADJ
ejpam-5788	280	12	)	)	PUNCT
ejpam-5788	280	13	sj(λ)+1	sj(λ)+1	NOUN
ejpam-5788	280	14	dy	dy	NOUN
ejpam-5788	280	15	=	=	SYM
ejpam-5788	280	16	log(cθ	log(cθ	PROPN
ejpam-5788	280	17	j	j	PROPN
ejpam-5788	280	18	+	+	CCONJ
ejpam-5788	280	19	xθ1	xθ1	PROPN
ejpam-5788	280	20	)	)	PUNCT
ejpam-5788	281	1	+	+	CCONJ
ejpam-5788	281	2	1	1	NUM
ejpam-5788	281	3	sj(λ	sj(λ	NUM
ejpam-5788	281	4	)	)	PUNCT
ejpam-5788	282	1	=	=	SYM
ejpam-5788	282	2	ℑ2(cj	ℑ2(cj	PROPN
ejpam-5788	282	3	,	,	PUNCT
ejpam-5788	282	4	θ	θ	PROPN
ejpam-5788	282	5	,	,	PUNCT
ejpam-5788	282	6	λ	λ	NOUN
ejpam-5788	282	7	)	)	PUNCT
ejpam-5788	282	8	.	.	PUNCT
ejpam-5788	283	1	(	(	PUNCT
ejpam-5788	283	2	16	16	NUM
ejpam-5788	283	3	)	)	PUNCT
ejpam-5788	283	4	•	•	NUM
ejpam-5788	283	5	maximization	maximization	NOUN
ejpam-5788	283	6	step	step	NOUN
ejpam-5788	283	7	(	(	PUNCT
ejpam-5788	283	8	m	m	NOUN
ejpam-5788	283	9	-	-	NOUN
ejpam-5788	283	10	step	step	NOUN
ejpam-5788	283	11	):	):	PUNCT
ejpam-5788	283	12	this	this	DET
ejpam-5788	283	13	step	step	NOUN
ejpam-5788	283	14	involves	involve	VERB
ejpam-5788	283	15	the	the	DET
ejpam-5788	283	16	maximization	maximization	NOUN
ejpam-5788	283	17	of	of	ADP
ejpam-5788	283	18	the	the	DET
ejpam-5788	283	19	pseudo	pseudo	NOUN
ejpam-5788	283	20	log	log	NOUN
ejpam-5788	283	21	-	-	PUNCT
ejpam-5788	283	22	likelihood	likelihood	NOUN
ejpam-5788	283	23	function	function	NOUN
ejpam-5788	283	24	eq.(13	eq.(13	NOUN
ejpam-5788	283	25	)	)	PUNCT
ejpam-5788	283	26	with	with	ADP
ejpam-5788	283	27	respect	respect	NOUN
ejpam-5788	283	28	to	to	ADP
ejpam-5788	283	29	(	(	PUNCT
ejpam-5788	283	30	θ	θ	PROPN
ejpam-5788	283	31	,	,	PUNCT
ejpam-5788	283	32	λ	λ	NOUN
ejpam-5788	283	33	)	)	PUNCT
ejpam-5788	283	34	.	.	PUNCT
ejpam-5788	284	1	in	in	ADP
ejpam-5788	284	2	this	this	DET
ejpam-5788	284	3	regard	regard	NOUN
ejpam-5788	284	4	suppose	suppose	VERB
ejpam-5788	284	5	(	(	PUNCT
ejpam-5788	284	6	θ(s	θ(s	NOUN
ejpam-5788	284	7	)	)	PUNCT
ejpam-5788	284	8	,	,	PUNCT
ejpam-5788	284	9	λ(s	λ(s	PROPN
ejpam-5788	284	10	)	)	PUNCT
ejpam-5788	284	11	)	)	PUNCT
ejpam-5788	284	12	denotes	denote	VERB
ejpam-5788	284	13	the	the	DET
ejpam-5788	284	14	sth	sth	NOUN
ejpam-5788	284	15	stage	stage	NOUN
ejpam-5788	284	16	estimate	estimate	NOUN
ejpam-5788	284	17	of	of	ADP
ejpam-5788	284	18	(	(	PUNCT
ejpam-5788	284	19	θ	θ	PROPN
ejpam-5788	284	20	,	,	PUNCT
ejpam-5788	284	21	λ	λ	NOUN
ejpam-5788	284	22	)	)	PUNCT
ejpam-5788	284	23	then	then	ADV
ejpam-5788	284	24	the	the	DET
ejpam-5788	284	25	next	next	ADJ
ejpam-5788	284	26	stage	stage	NOUN
ejpam-5788	284	27	updated	update	VERB
ejpam-5788	284	28	estimate	estimate	NOUN
ejpam-5788	284	29	(	(	PUNCT
ejpam-5788	284	30	θ(s+1	θ(s+1	NOUN
ejpam-5788	284	31	)	)	PUNCT
ejpam-5788	284	32	,	,	PUNCT
ejpam-5788	284	33	λ(s+1	λ(s+1	NOUN
ejpam-5788	284	34	)	)	PUNCT
ejpam-5788	284	35	)	)	PUNCT
ejpam-5788	284	36	is	be	AUX
ejpam-5788	284	37	obtained	obtain	VERB
ejpam-5788	284	38	by	by	ADP
ejpam-5788	284	39	maximizing	maximize	VERB
ejpam-5788	284	40	the	the	DET
ejpam-5788	284	41	following	follow	VERB
ejpam-5788	284	42	function	function	NOUN
ejpam-5788	284	43	;	;	PUNCT
ejpam-5788	284	44	q(θ	q(θ	NUM
ejpam-5788	284	45	,	,	PUNCT
ejpam-5788	284	46	λ	λ	NOUN
ejpam-5788	284	47	)	)	PUNCT
ejpam-5788	284	48	=	=	SYM
ejpam-5788	284	49	λn2	λn2	NOUN
ejpam-5788	284	50	log	log	VERB
ejpam-5788	284	51	2	2	NUM
ejpam-5788	284	52	+	+	CCONJ
ejpam-5788	284	53	(	(	PUNCT
ejpam-5788	284	54	n1	n1	PROPN
ejpam-5788	284	55	+	+	CCONJ
ejpam-5788	284	56	n2	n2	ADJ
ejpam-5788	284	57	)	)	PUNCT
ejpam-5788	284	58	log	log	NOUN
ejpam-5788	284	59	θ	θ	PROPN
ejpam-5788	284	60	+	+	CCONJ
ejpam-5788	284	61	θ(n1	θ(n1	NOUN
ejpam-5788	284	62	+	+	CCONJ
ejpam-5788	284	63	λn2	λn2	NOUN
ejpam-5788	284	64	)	)	PUNCT
ejpam-5788	284	65	log	log	VERB
ejpam-5788	284	66	x1	x1	PROPN
ejpam-5788	285	1	+	+	CCONJ
ejpam-5788	285	2	(	(	PUNCT
ejpam-5788	285	3	θ	θ	NOUN
ejpam-5788	285	4	−	−	PROPN
ejpam-5788	285	5	1	1	NUM
ejpam-5788	285	6	)	)	PUNCT
ejpam-5788	285	7	2∑	2∑	NOUN
ejpam-5788	286	1	j=1	j=1	PROPN
ejpam-5788	286	2	dj∑	dj∑	PROPN
ejpam-5788	286	3	i=1	i=1	PROPN
ejpam-5788	287	1	log	log	VERB
ejpam-5788	287	2	xji	xji	PROPN
ejpam-5788	287	3	a.	a.	PROPN
ejpam-5788	287	4	a.	a.	PROPN
ejpam-5788	287	5	soliman	soliman	PROPN
ejpam-5788	287	6	et	et	PROPN
ejpam-5788	287	7	al	al	PROPN
ejpam-5788	287	8	.	.	PUNCT
ejpam-5788	287	9	/	/	SYM
ejpam-5788	287	10	eur	eur	PROPN
ejpam-5788	287	11	.	.	PUNCT
ejpam-5788	288	1	j.	j.	PROPN
ejpam-5788	288	2	pure	pure	PROPN
ejpam-5788	288	3	appl	appl	PROPN
ejpam-5788	288	4	.	.	PROPN
ejpam-5788	288	5	math	math	PROPN
ejpam-5788	288	6	,	,	PUNCT
ejpam-5788	288	7	18	18	NUM
ejpam-5788	288	8	(	(	PUNCT
ejpam-5788	288	9	2	2	NUM
ejpam-5788	288	10	)	)	PUNCT
ejpam-5788	288	11	(	(	PUNCT
ejpam-5788	288	12	2025	2025	NUM
ejpam-5788	288	13	)	)	PUNCT
ejpam-5788	288	14	,	,	PUNCT
ejpam-5788	288	15	5788	5788	NUM
ejpam-5788	288	16	11	11	NUM
ejpam-5788	288	17	of	of	ADP
ejpam-5788	288	18	34	34	NUM
ejpam-5788	288	19	−	−	PROPN
ejpam-5788	288	20	2∑	2∑	NUM
ejpam-5788	288	21	j=1	j=1	NOUN
ejpam-5788	288	22	(	(	PUNCT
ejpam-5788	288	23	sj(λ	sj(λ	NOUN
ejpam-5788	288	24	)	)	PUNCT
ejpam-5788	288	25	+	+	CCONJ
ejpam-5788	288	26	1	1	X
ejpam-5788	288	27	)	)	PUNCT
ejpam-5788	288	28	dj∑	dj∑	PROPN
ejpam-5788	288	29	i=1	i=1	PROPN
ejpam-5788	289	1	log(xθji	log(xθji	PROPN
ejpam-5788	289	2	+	+	CCONJ
ejpam-5788	289	3	xθ1	xθ1	ADJ
ejpam-5788	289	4	)	)	PUNCT
ejpam-5788	290	1	+	+	CCONJ
ejpam-5788	290	2	(	(	PUNCT
ejpam-5788	290	3	θ	θ	X
ejpam-5788	290	4	−	−	PROPN
ejpam-5788	290	5	1	1	NUM
ejpam-5788	290	6	)	)	PUNCT
ejpam-5788	290	7	2∑	2∑	NOUN
ejpam-5788	290	8	j=1	j=1	NOUN
ejpam-5788	290	9	(	(	PUNCT
ejpam-5788	290	10	nj	nj	PROPN
ejpam-5788	290	11	−dj)ℑ1(cj	−dj)ℑ1(cj	PROPN
ejpam-5788	290	12	,	,	PUNCT
ejpam-5788	290	13	θ(s	θ(s	PROPN
ejpam-5788	290	14	)	)	PUNCT
ejpam-5788	290	15	,	,	PUNCT
ejpam-5788	290	16	λ(s	λ(s	PROPN
ejpam-5788	290	17	)	)	PUNCT
ejpam-5788	290	18	)	)	PUNCT
ejpam-5788	291	1	+	+	CCONJ
ejpam-5788	291	2	n2	n2	ADJ
ejpam-5788	291	3	log	log	NOUN
ejpam-5788	291	4	λ−	λ−	PROPN
ejpam-5788	291	5	2∑	2∑	NUM
ejpam-5788	291	6	j=1	j=1	NOUN
ejpam-5788	291	7	(	(	PUNCT
ejpam-5788	291	8	sj(λ	sj(λ	NOUN
ejpam-5788	291	9	)	)	PUNCT
ejpam-5788	291	10	+	+	CCONJ
ejpam-5788	291	11	1)(nj	1)(nj	NUM
ejpam-5788	291	12	−dj)ℑ2(cj	−dj)ℑ2(cj	NOUN
ejpam-5788	291	13	,	,	PUNCT
ejpam-5788	291	14	θ(s	θ(s	PROPN
ejpam-5788	291	15	)	)	PUNCT
ejpam-5788	291	16	,	,	PUNCT
ejpam-5788	291	17	λ(s	λ(s	PROPN
ejpam-5788	291	18	)	)	PUNCT
ejpam-5788	291	19	)	)	PUNCT
ejpam-5788	291	20	.	.	PUNCT
ejpam-5788	292	1	(	(	PUNCT
ejpam-5788	292	2	17	17	NUM
ejpam-5788	292	3	)	)	PUNCT
ejpam-5788	292	4	by	by	ADP
ejpam-5788	292	5	taking	take	VERB
ejpam-5788	292	6	the	the	DET
ejpam-5788	292	7	derivatives	derivative	NOUN
ejpam-5788	292	8	of	of	ADP
ejpam-5788	292	9	eq.(17	eq.(17	NOUN
ejpam-5788	292	10	)	)	PUNCT
ejpam-5788	292	11	with	with	ADP
ejpam-5788	292	12	respect	respect	NOUN
ejpam-5788	292	13	to	to	ADP
ejpam-5788	292	14	θ	θ	PROPN
ejpam-5788	292	15	and	and	CCONJ
ejpam-5788	292	16	λ	λ	PROPN
ejpam-5788	292	17	,	,	PUNCT
ejpam-5788	292	18	respectively	respectively	ADV
ejpam-5788	292	19	,	,	PUNCT
ejpam-5788	292	20	and	and	CCONJ
ejpam-5788	292	21	equating	equate	VERB
ejpam-5788	292	22	them	they	PRON
ejpam-5788	292	23	to	to	ADP
ejpam-5788	292	24	zero	zero	NUM
ejpam-5788	292	25	,	,	PUNCT
ejpam-5788	292	26	as	as	SCONJ
ejpam-5788	292	27	follows	follow	VERB
ejpam-5788	292	28	;	;	PUNCT
ejpam-5788	292	29	∂q(θ	∂q(θ	NUM
ejpam-5788	292	30	,	,	PUNCT
ejpam-5788	292	31	λ	λ	NOUN
ejpam-5788	292	32	)	)	PUNCT
ejpam-5788	292	33	∂θ	∂θ	PROPN
ejpam-5788	293	1	=	=	SYM
ejpam-5788	293	2	n1	n1	PROPN
ejpam-5788	293	3	+	+	CCONJ
ejpam-5788	293	4	n2	n2	ADJ
ejpam-5788	293	5	θ	θ	PROPN
ejpam-5788	293	6	+	+	CCONJ
ejpam-5788	293	7	(	(	PUNCT
ejpam-5788	293	8	n1	n1	PROPN
ejpam-5788	293	9	+	+	CCONJ
ejpam-5788	293	10	λn2	λn2	NOUN
ejpam-5788	293	11	)	)	PUNCT
ejpam-5788	293	12	log	log	NOUN
ejpam-5788	293	13	x(1	x(1	PROPN
ejpam-5788	293	14	)	)	PUNCT
ejpam-5788	294	1	+	+	NUM
ejpam-5788	294	2	2∑	2∑	X
ejpam-5788	294	3	j=1	j=1	NOUN
ejpam-5788	294	4	(	(	PUNCT
ejpam-5788	294	5	nj	nj	PROPN
ejpam-5788	294	6	−dj)ℑ1(cj	−dj)ℑ1(cj	PROPN
ejpam-5788	294	7	,	,	PUNCT
ejpam-5788	294	8	θ(s	θ(s	PROPN
ejpam-5788	294	9	)	)	PUNCT
ejpam-5788	294	10	,	,	PUNCT
ejpam-5788	294	11	λ(s	λ(s	PROPN
ejpam-5788	294	12	)	)	PUNCT
ejpam-5788	294	13	)	)	PUNCT
ejpam-5788	295	1	+	+	PUNCT
ejpam-5788	296	1	2∑	2∑	X
ejpam-5788	296	2	j=1	j=1	NOUN
ejpam-5788	296	3	dj∑	dj∑	PROPN
ejpam-5788	296	4	i=1	i=1	PROPN
ejpam-5788	297	1	log	log	VERB
ejpam-5788	297	2	xji	xji	NOUN
ejpam-5788	298	1	−	−	NOUN
ejpam-5788	299	1	2∑	2∑	NUM
ejpam-5788	299	2	j=1	j=1	NOUN
ejpam-5788	299	3	(	(	PUNCT
ejpam-5788	299	4	sj(λ	sj(λ	NOUN
ejpam-5788	299	5	)	)	PUNCT
ejpam-5788	299	6	+	+	CCONJ
ejpam-5788	299	7	1	1	X
ejpam-5788	299	8	)	)	PUNCT
ejpam-5788	299	9	dj∑	dj∑	PROPN
ejpam-5788	299	10	i=1	i=1	PROPN
ejpam-5788	299	11	xθji	xθji	PROPN
ejpam-5788	299	12	log	log	VERB
ejpam-5788	299	13	xji	xji	PROPN
ejpam-5788	300	1	+	+	CCONJ
ejpam-5788	300	2	xθ1	xθ1	PROPN
ejpam-5788	300	3	log	log	NOUN
ejpam-5788	300	4	x1	x1	NOUN
ejpam-5788	300	5	xθji	xθji	PROPN
ejpam-5788	301	1	+	+	CCONJ
ejpam-5788	301	2	xθ1	xθ1	ADJ
ejpam-5788	301	3	=	=	SYM
ejpam-5788	301	4	0	0	NUM
ejpam-5788	301	5	,	,	PUNCT
ejpam-5788	301	6	(	(	PUNCT
ejpam-5788	301	7	18	18	NUM
ejpam-5788	301	8	)	)	PUNCT
ejpam-5788	301	9	and	and	CCONJ
ejpam-5788	301	10	∂q(θ	∂q(θ	NUM
ejpam-5788	301	11	,	,	PUNCT
ejpam-5788	301	12	λ	λ	NOUN
ejpam-5788	301	13	)	)	PUNCT
ejpam-5788	301	14	∂λ	∂λ	PROPN
ejpam-5788	301	15	=	=	SYM
ejpam-5788	301	16	n2	n2	PROPN
ejpam-5788	301	17	log	log	NOUN
ejpam-5788	301	18	2	2	NUM
ejpam-5788	301	19	+	+	CCONJ
ejpam-5788	301	20	n2	n2	ADJ
ejpam-5788	301	21	λ	λ	PROPN
ejpam-5788	301	22	+	+	CCONJ
ejpam-5788	301	23	θ	θ	PROPN
ejpam-5788	301	24	n2	n2	PROPN
ejpam-5788	301	25	log	log	NOUN
ejpam-5788	301	26	x(1	x(1	PROPN
ejpam-5788	301	27	)	)	PUNCT
ejpam-5788	302	1	−	−	PROPN
ejpam-5788	303	1	∑d2	∑d2	NOUN
ejpam-5788	303	2	i=1	i=1	PROPN
ejpam-5788	304	1	log(x	log(x	NUM
ejpam-5788	304	2	θ	θ	NOUN
ejpam-5788	304	3	2i	2i	NOUN
ejpam-5788	304	4	+	+	CCONJ
ejpam-5788	304	5	xθ1)−	xθ1)−	PROPN
ejpam-5788	304	6	(	(	PUNCT
ejpam-5788	304	7	n2	n2	PROPN
ejpam-5788	304	8	−d2)ℑ2(c2	−d2)ℑ2(c2	PROPN
ejpam-5788	304	9	,	,	PUNCT
ejpam-5788	304	10	θ(s	θ(s	PROPN
ejpam-5788	304	11	)	)	PUNCT
ejpam-5788	304	12	,	,	PUNCT
ejpam-5788	304	13	λ(s	λ(s	PROPN
ejpam-5788	304	14	)	)	PUNCT
ejpam-5788	304	15	)	)	PUNCT
ejpam-5788	305	1	=	=	PUNCT
ejpam-5788	305	2	0	0	X
ejpam-5788	305	3	.	.	PUNCT
ejpam-5788	306	1	(	(	PUNCT
ejpam-5788	306	2	19	19	NUM
ejpam-5788	306	3	)	)	PUNCT
ejpam-5788	306	4	for	for	ADP
ejpam-5788	306	5	this	this	DET
ejpam-5788	306	6	purpose	purpose	NOUN
ejpam-5788	306	7	,	,	PUNCT
ejpam-5788	306	8	we	we	PRON
ejpam-5788	306	9	first	first	ADV
ejpam-5788	306	10	find	find	VERB
ejpam-5788	306	11	θ(s+1	θ(s+1	NOUN
ejpam-5788	306	12	)	)	PUNCT
ejpam-5788	306	13	by	by	ADP
ejpam-5788	306	14	using	use	VERB
ejpam-5788	306	15	the	the	DET
ejpam-5788	306	16	method	method	NOUN
ejpam-5788	306	17	of	of	ADP
ejpam-5788	306	18	fixed	fix	VERB
ejpam-5788	306	19	point	point	NOUN
ejpam-5788	306	20	iteration	iteration	NOUN
ejpam-5788	306	21	as	as	ADP
ejpam-5788	306	22	ref	ref	NOUN
ejpam-5788	306	23	.	.	PUNCT
ejpam-5788	307	1	[	[	X
ejpam-5788	307	2	33	33	NUM
ejpam-5788	307	3	]	]	PUNCT
ejpam-5788	307	4	.	.	PUNCT
ejpam-5788	308	1	where	where	SCONJ
ejpam-5788	308	2	we	we	PRON
ejpam-5788	308	3	have	have	VERB
ejpam-5788	308	4	;	;	PUNCT
ejpam-5788	308	5	h(θ	h(θ	X
ejpam-5788	308	6	)	)	PUNCT
ejpam-5788	308	7	=	=	SYM
ejpam-5788	308	8	n1+n2	n1+n2	PROPN
ejpam-5788	308	9	−(n1+λ̂(θ)n2	−(n1+λ̂(θ)n2	NUM
ejpam-5788	308	10	)	)	PUNCT
ejpam-5788	308	11	log	log	NOUN
ejpam-5788	309	1	x(1)−	x(1)−	PROPN
ejpam-5788	309	2	∑2	∑2	PROPN
ejpam-5788	309	3	j=1	j=1	PROPN
ejpam-5788	309	4	∑dj	∑dj	PUNCT
ejpam-5788	310	1	i=1	i=1	PROPN
ejpam-5788	310	2	log	log	VERB
ejpam-5788	310	3	xji−	xji−	PROPN
ejpam-5788	311	1	∑2	∑2	PROPN
ejpam-5788	312	1	j=1(nj−dj)ℑ1(cj	j=1(nj−dj)ℑ1(cj	PROPN
ejpam-5788	312	2	,	,	PUNCT
ejpam-5788	312	3	θ(s),λ(s))+2a1+(λ̂(θ)+1)a2	θ(s),λ(s))+2a1+(λ̂(θ)+1)a2	PROPN
ejpam-5788	312	4	,	,	PUNCT
ejpam-5788	312	5	(	(	PUNCT
ejpam-5788	312	6	20	20	NUM
ejpam-5788	312	7	)	)	PUNCT
ejpam-5788	312	8	with	with	ADP
ejpam-5788	312	9	aj	aj	PROPN
ejpam-5788	312	10	=	=	PROPN
ejpam-5788	312	11	{	{	PUNCT
ejpam-5788	312	12	dj∑	dj∑	PROPN
ejpam-5788	312	13	i=1	i=1	PROPN
ejpam-5788	312	14	xθji	xθji	PROPN
ejpam-5788	312	15	log(xji	log(xji	PROPN
ejpam-5788	312	16	)	)	PUNCT
ejpam-5788	313	1	+	+	CCONJ
ejpam-5788	313	2	xθ1	xθ1	PROPN
ejpam-5788	313	3	log(x1	log(x1	PROPN
ejpam-5788	313	4	)	)	PUNCT
ejpam-5788	313	5	xθji	xθji	VERB
ejpam-5788	314	1	+	+	CCONJ
ejpam-5788	314	2	xθ1	xθ1	ADJ
ejpam-5788	314	3	}	}	PUNCT
ejpam-5788	314	4	and	and	CCONJ
ejpam-5788	314	5	λ̂(θ	λ̂(θ	NUM
ejpam-5788	314	6	)	)	PUNCT
ejpam-5788	314	7	=	=	SYM
ejpam-5788	314	8	n2	n2	NOUN
ejpam-5788	315	1	−n2	−n2	PROPN
ejpam-5788	315	2	log(2)−	log(2)−	ADJ
ejpam-5788	315	3	θn2	θn2	NOUN
ejpam-5788	315	4	log(x(1	log(x(1	NOUN
ejpam-5788	315	5	)	)	PUNCT
ejpam-5788	315	6	)	)	PUNCT
ejpam-5788	316	1	+	+	CCONJ
ejpam-5788	317	1	∑d2	∑d2	ADJ
ejpam-5788	317	2	i=1	i=1	PROPN
ejpam-5788	318	1	log(x	log(x	NUM
ejpam-5788	318	2	θ	θ	NOUN
ejpam-5788	318	3	2i	2i	NOUN
ejpam-5788	318	4	+	+	CCONJ
ejpam-5788	318	5	xθ1	xθ1	ADJ
ejpam-5788	318	6	)	)	PUNCT
ejpam-5788	319	1	+	+	CCONJ
ejpam-5788	319	2	(	(	PUNCT
ejpam-5788	319	3	n2	n2	PROPN
ejpam-5788	319	4	−d2)ℑ2(c2	−d2)ℑ2(c2	PROPN
ejpam-5788	319	5	,	,	PUNCT
ejpam-5788	319	6	θ(s	θ(s	PROPN
ejpam-5788	319	7	)	)	PUNCT
ejpam-5788	319	8	,	,	PUNCT
ejpam-5788	319	9	λ(s	λ(s	PROPN
ejpam-5788	319	10	)	)	PUNCT
ejpam-5788	319	11	)	)	PUNCT
ejpam-5788	319	12	.	.	PUNCT
ejpam-5788	320	1	(	(	PUNCT
ejpam-5788	320	2	21	21	NUM
ejpam-5788	320	3	)	)	PUNCT
ejpam-5788	320	4	here	here	ADV
ejpam-5788	320	5	,	,	PUNCT
ejpam-5788	320	6	θ(s	θ(s	PROPN
ejpam-5788	320	7	)	)	PUNCT
ejpam-5788	320	8	and	and	CCONJ
ejpam-5788	320	9	λ(s	λ(s	PROPN
ejpam-5788	320	10	)	)	PUNCT
ejpam-5788	320	11	are	be	AUX
ejpam-5788	320	12	the	the	DET
ejpam-5788	320	13	estimate	estimate	NOUN
ejpam-5788	320	14	of	of	ADP
ejpam-5788	320	15	θ	θ	PROPN
ejpam-5788	320	16	and	and	CCONJ
ejpam-5788	320	17	λ	λ	PROPN
ejpam-5788	320	18	in	in	ADP
ejpam-5788	320	19	the	the	DET
ejpam-5788	320	20	sth	sth	NOUN
ejpam-5788	320	21	step	step	NOUN
ejpam-5788	320	22	,	,	PUNCT
ejpam-5788	320	23	respectively	respectively	ADV
ejpam-5788	320	24	.	.	PUNCT
ejpam-5788	321	1	finally	finally	ADV
ejpam-5788	321	2	after	after	ADP
ejpam-5788	321	3	finding	find	VERB
ejpam-5788	321	4	θ(s+1	θ(s+1	NOUN
ejpam-5788	321	5	)	)	PUNCT
ejpam-5788	321	6	,	,	PUNCT
ejpam-5788	321	7	the	the	DET
ejpam-5788	321	8	estimate	estimate	NOUN
ejpam-5788	321	9	λ(s+1	λ(s+1	X
ejpam-5788	321	10	)	)	PUNCT
ejpam-5788	321	11	is	be	AUX
ejpam-5788	321	12	derived	derive	VERB
ejpam-5788	321	13	as	as	ADP
ejpam-5788	321	14	λ(s+1	λ(s+1	PRON
ejpam-5788	321	15	)	)	PUNCT
ejpam-5788	321	16	=	=	SYM
ejpam-5788	321	17	λ̂(θ(s+1	λ̂(θ(s+1	PROPN
ejpam-5788	321	18	)	)	PUNCT
ejpam-5788	321	19	)	)	PUNCT
ejpam-5788	321	20	.	.	PUNCT
ejpam-5788	322	1	the	the	DET
ejpam-5788	322	2	mles	mle	NOUN
ejpam-5788	322	3	of	of	ADP
ejpam-5788	322	4	(	(	PUNCT
ejpam-5788	322	5	θ	θ	NOUN
ejpam-5788	322	6	,	,	PUNCT
ejpam-5788	322	7	λ	λ	NOUN
ejpam-5788	322	8	)	)	PUNCT
ejpam-5788	322	9	can	can	AUX
ejpam-5788	322	10	be	be	AUX
ejpam-5788	322	11	obtained	obtain	VERB
ejpam-5788	322	12	by	by	ADP
ejpam-5788	322	13	repeating	repeat	VERB
ejpam-5788	322	14	the	the	DET
ejpam-5788	322	15	e	e	NOUN
ejpam-5788	322	16	-	-	NOUN
ejpam-5788	322	17	step	step	NOUN
ejpam-5788	322	18	and	and	CCONJ
ejpam-5788	322	19	m	m	NOUN
ejpam-5788	322	20	-	-	NOUN
ejpam-5788	322	21	step	step	NOUN
ejpam-5788	322	22	until	until	SCONJ
ejpam-5788	322	23	convergence	convergence	NOUN
ejpam-5788	322	24	is	be	AUX
ejpam-5788	322	25	achieved	achieve	VERB
ejpam-5788	322	26	.	.	PUNCT
ejpam-5788	323	1	now	now	ADV
ejpam-5788	323	2	,	,	PUNCT
ejpam-5788	323	3	an	an	DET
ejpam-5788	323	4	iterative	iterative	NOUN
ejpam-5788	323	5	process	process	NOUN
ejpam-5788	323	6	can	can	AUX
ejpam-5788	323	7	be	be	AUX
ejpam-5788	323	8	employed	employ	VERB
ejpam-5788	323	9	to	to	PART
ejpam-5788	323	10	obtain	obtain	VERB
ejpam-5788	323	11	the	the	DET
ejpam-5788	323	12	necessary	necessary	ADJ
ejpam-5788	323	13	maximum	maximum	ADJ
ejpam-5788	323	14	likelihood	likelihood	NOUN
ejpam-5788	323	15	estimates	estimate	NOUN
ejpam-5788	323	16	of	of	ADP
ejpam-5788	323	17	(	(	PUNCT
ejpam-5788	323	18	θ	θ	PROPN
ejpam-5788	323	19	,	,	PUNCT
ejpam-5788	323	20	λ	λ	NOUN
ejpam-5788	323	21	)	)	PUNCT
ejpam-5788	323	22	.	.	PUNCT
ejpam-5788	324	1	this	this	DET
ejpam-5788	324	2	iterative	iterative	ADJ
ejpam-5788	324	3	procedure	procedure	NOUN
ejpam-5788	324	4	continues	continue	VERB
ejpam-5788	324	5	until	until	ADP
ejpam-5788	324	6	.	.	PUNCT
ejpam-5788	325	1	|	|	ADV
ejpam-5788	325	2	θ(s+1	θ(s+1	NOUN
ejpam-5788	325	3	)	)	PUNCT
ejpam-5788	326	1	−	−	PROPN
ejpam-5788	326	2	θ(s	θ(s	NOUN
ejpam-5788	326	3	)	)	PUNCT
ejpam-5788	326	4	|+	|+	NOUN
ejpam-5788	327	1	|	|	ADV
ejpam-5788	327	2	λ(s+1	λ(s+1	PRON
ejpam-5788	327	3	)	)	PUNCT
ejpam-5788	328	1	−	−	PROPN
ejpam-5788	328	2	λ(s	λ(s	PROPN
ejpam-5788	328	3	)	)	PUNCT
ejpam-5788	329	1	|	|	ADV
ejpam-5788	329	2	<	<	X
ejpam-5788	329	3	ϵ	ϵ	X
ejpam-5788	329	4	for	for	ADP
ejpam-5788	329	5	a	a	DET
ejpam-5788	329	6	predetermined	predetermine	VERB
ejpam-5788	329	7	small	small	ADJ
ejpam-5788	329	8	value	value	NOUN
ejpam-5788	329	9	of	of	ADP
ejpam-5788	329	10	ϵ	ϵ	PROPN
ejpam-5788	329	11	and	and	CCONJ
ejpam-5788	329	12	some	some	DET
ejpam-5788	329	13	s.	s.	PROPN
ejpam-5788	329	14	this	this	DET
ejpam-5788	329	15	approach	approach	NOUN
ejpam-5788	329	16	converges	converge	VERB
ejpam-5788	329	17	to	to	ADP
ejpam-5788	329	18	the	the	DET
ejpam-5788	329	19	local	local	ADJ
ejpam-5788	329	20	maximum	maximum	ADJ
ejpam-5788	329	21	likelihood	likelihood	NOUN
ejpam-5788	329	22	as	as	ADP
ejpam-5788	329	23	the	the	DET
ejpam-5788	329	24	log	log	NOUN
ejpam-5788	329	25	-	-	PUNCT
ejpam-5788	329	26	likelihood	likelihood	NOUN
ejpam-5788	329	27	increases	increase	NOUN
ejpam-5788	329	28	with	with	ADP
ejpam-5788	329	29	each	each	DET
ejpam-5788	329	30	iteration	iteration	NOUN
ejpam-5788	329	31	.	.	PUNCT
ejpam-5788	330	1	in	in	ADP
ejpam-5788	330	2	the	the	DET
ejpam-5788	330	3	expectationmaximization	expectationmaximization	NOUN
ejpam-5788	330	4	technique	technique	NOUN
ejpam-5788	330	5	,	,	PUNCT
ejpam-5788	330	6	we	we	PRON
ejpam-5788	330	7	initialize	initialize	VERB
ejpam-5788	330	8	the	the	DET
ejpam-5788	330	9	parameters	parameter	NOUN
ejpam-5788	330	10	using	use	VERB
ejpam-5788	330	11	their	their	PRON
ejpam-5788	330	12	maximum	maximum	ADJ
ejpam-5788	330	13	likelihood	likelihood	NOUN
ejpam-5788	330	14	estimates	estimate	NOUN
ejpam-5788	330	15	based	base	VERB
ejpam-5788	330	16	on	on	ADP
ejpam-5788	330	17	the	the	DET
ejpam-5788	330	18	entire	entire	ADJ
ejpam-5788	330	19	sample	sample	NOUN
ejpam-5788	330	20	.	.	PUNCT
ejpam-5788	331	1	a.	a.	NOUN
ejpam-5788	331	2	a.	a.	PROPN
ejpam-5788	331	3	soliman	soliman	PROPN
ejpam-5788	331	4	et	et	PROPN
ejpam-5788	331	5	al	al	PROPN
ejpam-5788	331	6	.	.	PUNCT
ejpam-5788	331	7	/	/	SYM
ejpam-5788	331	8	eur	eur	PROPN
ejpam-5788	331	9	.	.	PUNCT
ejpam-5788	332	1	j.	j.	PROPN
ejpam-5788	332	2	pure	pure	PROPN
ejpam-5788	332	3	appl	appl	PROPN
ejpam-5788	332	4	.	.	PROPN
ejpam-5788	332	5	math	math	PROPN
ejpam-5788	332	6	,	,	PUNCT
ejpam-5788	332	7	18	18	NUM
ejpam-5788	332	8	(	(	PUNCT
ejpam-5788	332	9	2	2	NUM
ejpam-5788	332	10	)	)	PUNCT
ejpam-5788	332	11	(	(	PUNCT
ejpam-5788	332	12	2025	2025	NUM
ejpam-5788	332	13	)	)	PUNCT
ejpam-5788	332	14	,	,	PUNCT
ejpam-5788	332	15	5788	5788	NUM
ejpam-5788	332	16	12	12	NUM
ejpam-5788	332	17	of	of	ADP
ejpam-5788	332	18	34	34	NUM
ejpam-5788	332	19	2.2.3	2.2.3	NUM
ejpam-5788	332	20	.	.	PUNCT
ejpam-5788	333	1	bayes	bayes	PROPN
ejpam-5788	333	2	estimation	estimation	NOUN
ejpam-5788	333	3	unlike	unlike	ADP
ejpam-5788	333	4	traditional	traditional	ADJ
ejpam-5788	333	5	statistics	statistic	NOUN
ejpam-5788	333	6	,	,	PUNCT
ejpam-5788	333	7	bayesian	bayesian	NOUN
ejpam-5788	333	8	estimation	estimation	NOUN
ejpam-5788	333	9	incorporates	incorporate	VERB
ejpam-5788	333	10	prior	prior	ADJ
ejpam-5788	333	11	information	information	NOUN
ejpam-5788	333	12	about	about	ADP
ejpam-5788	333	13	life	life	NOUN
ejpam-5788	333	14	parameters	parameter	NOUN
ejpam-5788	333	15	.	.	PUNCT
ejpam-5788	334	1	this	this	DET
ejpam-5788	334	2	approach	approach	NOUN
ejpam-5788	334	3	combines	combine	VERB
ejpam-5788	334	4	the	the	DET
ejpam-5788	334	5	data	datum	NOUN
ejpam-5788	334	6	provided	provide	VERB
ejpam-5788	334	7	with	with	ADP
ejpam-5788	334	8	prior	prior	ADJ
ejpam-5788	334	9	probabilities	probability	NOUN
ejpam-5788	334	10	to	to	PART
ejpam-5788	334	11	infer	infer	VERB
ejpam-5788	334	12	the	the	DET
ejpam-5788	334	13	parameters	parameter	NOUN
ejpam-5788	334	14	of	of	ADP
ejpam-5788	334	15	interest	interest	NOUN
ejpam-5788	334	16	,	,	PUNCT
ejpam-5788	334	17	making	make	VERB
ejpam-5788	334	18	the	the	DET
ejpam-5788	334	19	inference	inference	NOUN
ejpam-5788	334	20	process	process	NOUN
ejpam-5788	334	21	more	more	ADV
ejpam-5788	334	22	objective	objective	ADJ
ejpam-5788	334	23	and	and	CCONJ
ejpam-5788	334	24	reasonable	reasonable	ADJ
ejpam-5788	334	25	.	.	PUNCT
ejpam-5788	335	1	a	a	DET
ejpam-5788	335	2	loss	loss	NOUN
ejpam-5788	335	3	function	function	NOUN
ejpam-5788	335	4	is	be	AUX
ejpam-5788	335	5	used	use	VERB
ejpam-5788	335	6	to	to	PART
ejpam-5788	335	7	evaluate	evaluate	VERB
ejpam-5788	335	8	the	the	DET
ejpam-5788	335	9	difference	difference	NOUN
ejpam-5788	335	10	between	between	ADP
ejpam-5788	335	11	an	an	DET
ejpam-5788	335	12	estimated	estimate	VERB
ejpam-5788	335	13	value	value	NOUN
ejpam-5788	335	14	and	and	CCONJ
ejpam-5788	335	15	the	the	DET
ejpam-5788	335	16	true	true	ADJ
ejpam-5788	335	17	value	value	NOUN
ejpam-5788	335	18	of	of	ADP
ejpam-5788	335	19	the	the	DET
ejpam-5788	335	20	parameter	parameter	NOUN
ejpam-5788	335	21	.	.	PUNCT
ejpam-5788	336	1	in	in	ADP
ejpam-5788	336	2	this	this	DET
ejpam-5788	336	3	section	section	NOUN
ejpam-5788	336	4	,	,	PUNCT
ejpam-5788	336	5	we	we	PRON
ejpam-5788	336	6	focus	focus	VERB
ejpam-5788	336	7	on	on	ADP
ejpam-5788	336	8	objective	objective	ADJ
ejpam-5788	336	9	bayesian	bayesian	NOUN
ejpam-5788	336	10	estimation	estimation	NOUN
ejpam-5788	336	11	of	of	ADP
ejpam-5788	336	12	the	the	DET
ejpam-5788	336	13	unknown	unknown	ADJ
ejpam-5788	336	14	parameters	parameter	NOUN
ejpam-5788	336	15	θ	θ	PROPN
ejpam-5788	336	16	,	,	PUNCT
ejpam-5788	336	17	σ	σ	PROPN
ejpam-5788	336	18	,	,	PUNCT
ejpam-5788	336	19	and	and	CCONJ
ejpam-5788	336	20	λ	λ	X
ejpam-5788	336	21	with	with	ADP
ejpam-5788	336	22	respect	respect	NOUN
ejpam-5788	336	23	to	to	ADP
ejpam-5788	336	24	squared	square	VERB
ejpam-5788	336	25	error	error	NOUN
ejpam-5788	336	26	(	(	PUNCT
ejpam-5788	336	27	se	se	X
ejpam-5788	336	28	)	)	PUNCT
ejpam-5788	336	29	and	and	CCONJ
ejpam-5788	336	30	linear	linear	PROPN
ejpam-5788	336	31	exponential	exponential	NOUN
ejpam-5788	336	32	(	(	PUNCT
ejpam-5788	336	33	linex	linex	ADJ
ejpam-5788	336	34	)	)	PUNCT
ejpam-5788	336	35	loss	loss	NOUN
ejpam-5788	336	36	functions	function	NOUN
ejpam-5788	336	37	.	.	PUNCT
ejpam-5788	337	1	for	for	ADP
ejpam-5788	337	2	the	the	DET
ejpam-5788	337	3	selection	selection	NOUN
ejpam-5788	337	4	of	of	ADP
ejpam-5788	337	5	prior	prior	ADJ
ejpam-5788	337	6	distribution	distribution	NOUN
ejpam-5788	337	7	of	of	ADP
ejpam-5788	337	8	unknown	unknown	ADJ
ejpam-5788	337	9	parameters	parameter	NOUN
ejpam-5788	337	10	is	be	AUX
ejpam-5788	337	11	discussed	discuss	VERB
ejpam-5788	337	12	and	and	CCONJ
ejpam-5788	337	13	its	its	PRON
ejpam-5788	337	14	simulation	simulation	NOUN
ejpam-5788	337	15	results	result	NOUN
ejpam-5788	337	16	are	be	AUX
ejpam-5788	337	17	satisfactory	satisfactory	ADJ
ejpam-5788	337	18	in	in	ADP
ejpam-5788	337	19	ref.[8	ref.[8	NOUN
ejpam-5788	337	20	]	]	PUNCT
ejpam-5788	337	21	.	.	PUNCT
ejpam-5788	338	1	we	we	PRON
ejpam-5788	338	2	adopt	adopt	VERB
ejpam-5788	338	3	the	the	DET
ejpam-5788	338	4	same	same	ADJ
ejpam-5788	338	5	prior	prior	ADJ
ejpam-5788	338	6	distribution	distribution	NOUN
ejpam-5788	338	7	as	as	ADP
ejpam-5788	338	8	this	this	DET
ejpam-5788	338	9	ref.[8	ref.[8	NOUN
ejpam-5788	338	10	]	]	PUNCT
ejpam-5788	338	11	.	.	PUNCT
ejpam-5788	339	1	the	the	DET
ejpam-5788	339	2	joint	joint	ADJ
ejpam-5788	339	3	prior	prior	ADJ
ejpam-5788	339	4	probability	probability	NOUN
ejpam-5788	339	5	density	density	NOUN
ejpam-5788	339	6	function	function	NOUN
ejpam-5788	339	7	(	(	PUNCT
ejpam-5788	339	8	pdf	pdf	NOUN
ejpam-5788	339	9	)	)	PUNCT
ejpam-5788	339	10	of	of	ADP
ejpam-5788	339	11	θ	θ	PROPN
ejpam-5788	339	12	and	and	CCONJ
ejpam-5788	339	13	σ	σ	PROPN
ejpam-5788	339	14	is	be	AUX
ejpam-5788	339	15	considered	consider	VERB
ejpam-5788	339	16	to	to	PART
ejpam-5788	339	17	be	be	AUX
ejpam-5788	339	18	given	give	VERB
ejpam-5788	339	19	by	by	ADP
ejpam-5788	339	20	;	;	PUNCT
ejpam-5788	339	21	π∗	π∗	PROPN
ejpam-5788	339	22	1(θ	1(θ	NUM
ejpam-5788	339	23	,	,	PUNCT
ejpam-5788	339	24	σ	σ	PROPN
ejpam-5788	339	25	)	)	PUNCT
ejpam-5788	339	26	∝	∝	PROPN
ejpam-5788	339	27	θaσθb−1c−θ	θaσθb−1c−θ	X
ejpam-5788	339	28	,	,	PUNCT
ejpam-5788	339	29	θ	θ	X
ejpam-5788	339	30	>	>	X
ejpam-5788	339	31	0	0	NUM
ejpam-5788	339	32	,	,	PUNCT
ejpam-5788	339	33	0	0	NUM
ejpam-5788	339	34	<	<	X
ejpam-5788	339	35	σ	σ	X
ejpam-5788	339	36	<	<	X
ejpam-5788	339	37	d	d	PROPN
ejpam-5788	339	38	,	,	PUNCT
ejpam-5788	339	39	for	for	ADP
ejpam-5788	339	40	θ	θ	PROPN
ejpam-5788	339	41	and	and	CCONJ
ejpam-5788	339	42	σ	σ	PROPN
ejpam-5788	339	43	,	,	PUNCT
ejpam-5788	339	44	where	where	SCONJ
ejpam-5788	339	45	a	a	DET
ejpam-5788	339	46	,	,	PUNCT
ejpam-5788	339	47	b	b	NOUN
ejpam-5788	339	48	,	,	PUNCT
ejpam-5788	339	49	c	c	NOUN
ejpam-5788	339	50	,	,	PUNCT
ejpam-5788	339	51	d	d	X
ejpam-5788	339	52	are	be	AUX
ejpam-5788	339	53	positive	positive	ADJ
ejpam-5788	339	54	constants	constant	NOUN
ejpam-5788	339	55	and	and	CCONJ
ejpam-5788	339	56	db	db	ADP
ejpam-5788	339	57	<	<	X
ejpam-5788	339	58	c.	c.	NOUN
ejpam-5788	339	59	this	this	DET
ejpam-5788	339	60	joint	joint	ADJ
ejpam-5788	339	61	prior	prior	ADV
ejpam-5788	339	62	has	have	AUX
ejpam-5788	339	63	been	be	AUX
ejpam-5788	339	64	used	use	VERB
ejpam-5788	339	65	in	in	ADP
ejpam-5788	339	66	[	[	X
ejpam-5788	339	67	34	34	NUM
ejpam-5788	339	68	,	,	PUNCT
ejpam-5788	339	69	35	35	NUM
ejpam-5788	339	70	]	]	PUNCT
ejpam-5788	339	71	for	for	ADP
ejpam-5788	339	72	bayesian	bayesian	NOUN
ejpam-5788	339	73	inference	inference	NOUN
ejpam-5788	339	74	of	of	ADP
ejpam-5788	339	75	the	the	DET
ejpam-5788	339	76	two	two	NUM
ejpam-5788	339	77	-	-	PUNCT
ejpam-5788	339	78	parameter	parameter	NOUN
ejpam-5788	339	79	pareto	pareto	ADJ
ejpam-5788	339	80	distribution	distribution	NOUN
ejpam-5788	339	81	.	.	PUNCT
ejpam-5788	340	1	such	such	DET
ejpam-5788	340	2	a	a	DET
ejpam-5788	340	3	prior	prior	ADJ
ejpam-5788	340	4	specifies	specifie	NOUN
ejpam-5788	340	5	π∗	π∗	PROPN
ejpam-5788	340	6	1(θ	1(θ	NUM
ejpam-5788	340	7	)	)	PUNCT
ejpam-5788	340	8	as	as	ADP
ejpam-5788	340	9	a	a	DET
ejpam-5788	340	10	gamma	gamma	NOUN
ejpam-5788	340	11	distribution	distribution	NOUN
ejpam-5788	340	12	ga(a	ga(a	NOUN
ejpam-5788	340	13	,	,	PUNCT
ejpam-5788	340	14	log	log	VERB
ejpam-5788	340	15	c−	c−	NUM
ejpam-5788	340	16	b	b	NOUN
ejpam-5788	340	17	log	log	NOUN
ejpam-5788	340	18	d	d	NOUN
ejpam-5788	340	19	)	)	PUNCT
ejpam-5788	340	20	and	and	CCONJ
ejpam-5788	340	21	π∗	π∗	PROPN
ejpam-5788	340	22	1(σ|θ	1(σ|θ	NUM
ejpam-5788	340	23	)	)	PUNCT
ejpam-5788	340	24	as	as	ADP
ejpam-5788	340	25	a	a	DET
ejpam-5788	340	26	power	power	NOUN
ejpam-5788	340	27	function	function	NOUN
ejpam-5788	340	28	distribution	distribution	NOUN
ejpam-5788	340	29	of	of	ADP
ejpam-5788	340	30	the	the	DET
ejpam-5788	340	31	form	form	NOUN
ejpam-5788	340	32	;	;	PUNCT
ejpam-5788	340	33	π∗	π∗	PROPN
ejpam-5788	340	34	1(σ|θ	1(σ|θ	NUM
ejpam-5788	340	35	)	)	PUNCT
ejpam-5788	340	36	)	)	PUNCT
ejpam-5788	341	1	=	=	PUNCT
ejpam-5788	341	2	b	b	X
ejpam-5788	341	3	θ	θ	X
ejpam-5788	341	4	σbθ−1	σbθ−1	PROPN
ejpam-5788	341	5	d−bθ	d−bθ	NOUN
ejpam-5788	341	6	,	,	PUNCT
ejpam-5788	341	7	0	0	NUM
ejpam-5788	341	8	<	<	X
ejpam-5788	341	9	σ	σ	X
ejpam-5788	341	10	<	<	X
ejpam-5788	341	11	d.	d.	PROPN
ejpam-5788	341	12	by	by	ADP
ejpam-5788	341	13	letting	let	VERB
ejpam-5788	341	14	a	a	DET
ejpam-5788	341	15	=	=	SYM
ejpam-5788	341	16	−1	−1	NOUN
ejpam-5788	341	17	,	,	PUNCT
ejpam-5788	341	18	b	b	NOUN
ejpam-5788	341	19	=	=	SYM
ejpam-5788	341	20	0	0	NUM
ejpam-5788	341	21	,	,	PUNCT
ejpam-5788	341	22	c	c	NOUN
ejpam-5788	341	23	=	=	SYM
ejpam-5788	341	24	1	1	NUM
ejpam-5788	341	25	and	and	CCONJ
ejpam-5788	341	26	d	d	NOUN
ejpam-5788	341	27	−→	−→	NOUN
ejpam-5788	341	28	∞	∞	PROPN
ejpam-5788	341	29	,	,	PUNCT
ejpam-5788	341	30	this	this	DET
ejpam-5788	341	31	prior	prior	ADJ
ejpam-5788	341	32	reduces	reduce	VERB
ejpam-5788	341	33	to	to	ADP
ejpam-5788	341	34	the	the	DET
ejpam-5788	341	35	non	non	ADJ
ejpam-5788	341	36	informative	informative	ADJ
ejpam-5788	341	37	prior	prior	ADV
ejpam-5788	341	38	;	;	PUNCT
ejpam-5788	341	39	π∗	π∗	PROPN
ejpam-5788	341	40	1(σ	1(σ	NUM
ejpam-5788	341	41	,	,	PUNCT
ejpam-5788	341	42	θ	θ	NOUN
ejpam-5788	341	43	)	)	PUNCT
ejpam-5788	341	44	∝	∝	NOUN
ejpam-5788	341	45	1	1	NUM
ejpam-5788	341	46	θσ	θσ	ADP
ejpam-5788	341	47	,	,	PUNCT
ejpam-5788	341	48	θ	θ	PROPN
ejpam-5788	341	49	,	,	PUNCT
ejpam-5788	341	50	σ	σ	X
ejpam-5788	341	51	>	>	X
ejpam-5788	341	52	0	0	PUNCT
ejpam-5788	341	53	on	on	ADP
ejpam-5788	341	54	the	the	DET
ejpam-5788	341	55	other	other	ADJ
ejpam-5788	341	56	hand	hand	NOUN
ejpam-5788	341	57	,	,	PUNCT
ejpam-5788	341	58	the	the	DET
ejpam-5788	341	59	prior	prior	NOUN
ejpam-5788	341	60	for	for	ADP
ejpam-5788	341	61	the	the	DET
ejpam-5788	341	62	acceleration	acceleration	NOUN
ejpam-5788	341	63	factor	factor	NOUN
ejpam-5788	341	64	λ	λ	PROPN
ejpam-5788	341	65	is	be	AUX
ejpam-5788	341	66	assumed	assume	VERB
ejpam-5788	341	67	to	to	PART
ejpam-5788	341	68	be	be	AUX
ejpam-5788	341	69	the	the	DET
ejpam-5788	341	70	noninformative	noninformative	PROPN
ejpam-5788	341	71	prior	prior	ADV
ejpam-5788	341	72	,	,	PUNCT
ejpam-5788	341	73	i.e.	i.e.	X
ejpam-5788	341	74	π∗	π∗	PROPN
ejpam-5788	341	75	2(λ	2(λ	NUM
ejpam-5788	341	76	)	)	PUNCT
ejpam-5788	341	77	∝	∝	PROPN
ejpam-5788	342	1	λ−1	λ−1	PROPN
ejpam-5788	342	2	,	,	PUNCT
ejpam-5788	342	3	λ	λ	X
ejpam-5788	342	4	>	>	X
ejpam-5788	342	5	1	1	NUM
ejpam-5788	342	6	.	.	PUNCT
ejpam-5788	343	1	therefore	therefore	ADV
ejpam-5788	343	2	,	,	PUNCT
ejpam-5788	343	3	the	the	DET
ejpam-5788	343	4	joint	joint	ADJ
ejpam-5788	343	5	prior	prior	ADJ
ejpam-5788	343	6	pdf	pdf	NOUN
ejpam-5788	343	7	of	of	ADP
ejpam-5788	343	8	θ	θ	PROPN
ejpam-5788	343	9	,	,	PUNCT
ejpam-5788	343	10	σ	σ	PROPN
ejpam-5788	343	11	and	and	CCONJ
ejpam-5788	343	12	λ	λ	PROPN
ejpam-5788	343	13	can	can	AUX
ejpam-5788	343	14	be	be	AUX
ejpam-5788	343	15	written	write	VERB
ejpam-5788	343	16	as	as	ADP
ejpam-5788	343	17	,	,	PUNCT
ejpam-5788	343	18	π∗(θ	π∗(θ	PROPN
ejpam-5788	343	19	,	,	PUNCT
ejpam-5788	343	20	σ	σ	PROPN
ejpam-5788	343	21	,	,	PUNCT
ejpam-5788	343	22	λ	λ	PROPN
ejpam-5788	343	23	)	)	PUNCT
ejpam-5788	343	24	∝	∝	PROPN
ejpam-5788	343	25	θaσθb−1c−θλ−1	θaσθb−1c−θλ−1	PROPN
ejpam-5788	343	26	,	,	PUNCT
ejpam-5788	343	27	θ	θ	PROPN
ejpam-5788	343	28	>	>	X
ejpam-5788	343	29	0	0	NUM
ejpam-5788	343	30	,	,	PUNCT
ejpam-5788	343	31	0	0	NUM
ejpam-5788	343	32	<	<	X
ejpam-5788	343	33	σ	σ	X
ejpam-5788	343	34	<	<	X
ejpam-5788	343	35	d	d	PROPN
ejpam-5788	343	36	,	,	PUNCT
ejpam-5788	343	37	λ	λ	X
ejpam-5788	343	38	>	>	X
ejpam-5788	343	39	1	1	NUM
ejpam-5788	343	40	.	.	PUNCT
ejpam-5788	344	1	(	(	PUNCT
ejpam-5788	344	2	22	22	NUM
ejpam-5788	344	3	)	)	PUNCT
ejpam-5788	344	4	in	in	ADP
ejpam-5788	344	5	combining	combine	VERB
ejpam-5788	344	6	the	the	DET
ejpam-5788	344	7	prior	prior	ADJ
ejpam-5788	344	8	information	information	NOUN
ejpam-5788	344	9	from	from	ADP
ejpam-5788	344	10	eq.(22	eq.(22	NOUN
ejpam-5788	344	11	)	)	PUNCT
ejpam-5788	344	12	with	with	ADP
ejpam-5788	344	13	the	the	DET
ejpam-5788	344	14	likelihood	likelihood	NOUN
ejpam-5788	344	15	function	function	NOUN
ejpam-5788	344	16	presented	present	VERB
ejpam-5788	344	17	in	in	ADP
ejpam-5788	344	18	eq.(4	eq.(4	ADJ
ejpam-5788	344	19	)	)	PUNCT
ejpam-5788	344	20	,	,	PUNCT
ejpam-5788	344	21	the	the	DET
ejpam-5788	344	22	joint	joint	ADJ
ejpam-5788	344	23	posterior	posterior	ADJ
ejpam-5788	344	24	distribution	distribution	NOUN
ejpam-5788	344	25	can	can	AUX
ejpam-5788	344	26	be	be	AUX
ejpam-5788	344	27	represented	represent	VERB
ejpam-5788	344	28	as	as	SCONJ
ejpam-5788	344	29	follows	follow	VERB
ejpam-5788	344	30	;	;	PUNCT
ejpam-5788	344	31	π(θ	π(θ	NOUN
ejpam-5788	344	32	,	,	PUNCT
ejpam-5788	344	33	σ	σ	PROPN
ejpam-5788	344	34	,	,	PUNCT
ejpam-5788	344	35	λ|x	λ|x	PUNCT
ejpam-5788	344	36	)	)	PUNCT
ejpam-5788	345	1	=	=	SYM
ejpam-5788	345	2	a−1	a−1	PROPN
ejpam-5788	345	3	l(θ	l(θ	PROPN
ejpam-5788	345	4	,	,	PUNCT
ejpam-5788	345	5	σ	σ	PROPN
ejpam-5788	345	6	,	,	PUNCT
ejpam-5788	345	7	λ|x	λ|x	PROPN
ejpam-5788	345	8	)	)	PUNCT
ejpam-5788	345	9	π∗(θ	π∗(θ	PROPN
ejpam-5788	345	10	,	,	PUNCT
ejpam-5788	345	11	σ	σ	PROPN
ejpam-5788	345	12	,	,	PUNCT
ejpam-5788	345	13	λ	λ	NOUN
ejpam-5788	345	14	)	)	PUNCT
ejpam-5788	345	15	=	=	SYM
ejpam-5788	345	16	a−1	a−1	PROPN
ejpam-5788	345	17	2λn2	2λn2	NUM
ejpam-5788	345	18	θ(d1+d2+a	θ(d1+d2+a	NUM
ejpam-5788	345	19	)	)	PUNCT
ejpam-5788	345	20	c−θ	c−θ	NOUN
ejpam-5788	345	21	λd2−1	λd2−1	NOUN
ejpam-5788	345	22	σθ(d1+λd2+b)−1	σθ(d1+λd2+b)−1	PROPN
ejpam-5788	345	23	[	[	PUNCT
ejpam-5788	345	24	1	1	NUM
ejpam-5788	345	25	+	+	CCONJ
ejpam-5788	345	26	(	(	PUNCT
ejpam-5788	345	27	c1	c1	PROPN
ejpam-5788	345	28	σ	σ	PROPN
ejpam-5788	345	29	)	)	PUNCT
ejpam-5788	345	30	θ	θ	PROPN
ejpam-5788	345	31	]	]	PUNCT
ejpam-5788	345	32	(	(	PUNCT
ejpam-5788	345	33	d1−n1	d1−n1	NOUN
ejpam-5788	345	34	)	)	PUNCT
ejpam-5788	345	35	×	×	NOUN
ejpam-5788	345	36	[	[	PUNCT
ejpam-5788	345	37	1	1	NUM
ejpam-5788	345	38	+	+	CCONJ
ejpam-5788	345	39	(	(	PUNCT
ejpam-5788	345	40	c2	c2	PROPN
ejpam-5788	345	41	σ	σ	PROPN
ejpam-5788	345	42	)	)	PUNCT
ejpam-5788	345	43	θ	θ	PROPN
ejpam-5788	346	1	]	]	PUNCT
ejpam-5788	346	2	λ	λ	X
ejpam-5788	346	3	(	(	PUNCT
ejpam-5788	346	4	d2−n2	d2−n2	PROPN
ejpam-5788	346	5	)	)	PUNCT
ejpam-5788	346	6	d1∏	d1∏	PROPN
ejpam-5788	346	7	i=1	i=1	PROPN
ejpam-5788	346	8	x	x	PROPN
ejpam-5788	346	9	−(θ+1	−(θ+1	PROPN
ejpam-5788	346	10	)	)	PUNCT
ejpam-5788	346	11	1i	1i	NOUN
ejpam-5788	346	12	[	[	PUNCT
ejpam-5788	346	13	1	1	NUM
ejpam-5788	346	14	+	+	CCONJ
ejpam-5788	346	15	(	(	PUNCT
ejpam-5788	346	16	σ	σ	PROPN
ejpam-5788	346	17	x1i	x1i	PROPN
ejpam-5788	346	18	)	)	PUNCT
ejpam-5788	347	1	θ	θ	X
ejpam-5788	347	2	]	]	PUNCT
ejpam-5788	347	3	2	2	NUM
ejpam-5788	347	4	d2∏	d2∏	PROPN
ejpam-5788	347	5	i=1	i=1	X
ejpam-5788	347	6	x	x	SYM
ejpam-5788	347	7	−(λθ+1	−(λθ+1	PROPN
ejpam-5788	347	8	)	)	PUNCT
ejpam-5788	347	9	2i	2i	NOUN
ejpam-5788	347	10	[	[	PUNCT
ejpam-5788	347	11	1	1	NUM
ejpam-5788	347	12	+	+	CCONJ
ejpam-5788	347	13	(	(	PUNCT
ejpam-5788	347	14	σ	σ	PROPN
ejpam-5788	347	15	x2i	x2i	PROPN
ejpam-5788	347	16	)	)	PUNCT
ejpam-5788	347	17	θ	θ	NOUN
ejpam-5788	348	1	]	]	PUNCT
ejpam-5788	348	2	λ+1	λ+1	X
ejpam-5788	348	3	a.	a.	NOUN
ejpam-5788	348	4	a.	a.	NOUN
ejpam-5788	348	5	soliman	soliman	PROPN
ejpam-5788	348	6	et	et	PROPN
ejpam-5788	348	7	al	al	PROPN
ejpam-5788	348	8	.	.	PUNCT
ejpam-5788	348	9	/	/	SYM
ejpam-5788	348	10	eur	eur	PROPN
ejpam-5788	348	11	.	.	PUNCT
ejpam-5788	349	1	j.	j.	PROPN
ejpam-5788	349	2	pure	pure	PROPN
ejpam-5788	349	3	appl	appl	PROPN
ejpam-5788	349	4	.	.	PROPN
ejpam-5788	349	5	math	math	PROPN
ejpam-5788	349	6	,	,	PUNCT
ejpam-5788	349	7	18	18	NUM
ejpam-5788	349	8	(	(	PUNCT
ejpam-5788	349	9	2	2	NUM
ejpam-5788	349	10	)	)	PUNCT
ejpam-5788	349	11	(	(	PUNCT
ejpam-5788	349	12	2025	2025	NUM
ejpam-5788	349	13	)	)	PUNCT
ejpam-5788	349	14	,	,	PUNCT
ejpam-5788	349	15	5788	5788	NUM
ejpam-5788	349	16	13	13	NUM
ejpam-5788	349	17	of	of	ADP
ejpam-5788	349	18	34	34	NUM
ejpam-5788	349	19	=	=	SYM
ejpam-5788	349	20	a−1	a−1	PROPN
ejpam-5788	349	21	2λn2	2λn2	NUM
ejpam-5788	349	22	θ(d1+d2+a+1)−1	θ(d1+d2+a+1)−1	NOUN
ejpam-5788	349	23	c−θ	c−θ	NOUN
ejpam-5788	349	24	λd2−1	λd2−1	NOUN
ejpam-5788	349	25	σθ(d1+λd2+b)−1	σθ(d1+λd2+b)−1	PROPN
ejpam-5788	349	26	[	[	PUNCT
ejpam-5788	349	27	1	1	NUM
ejpam-5788	349	28	+	+	CCONJ
ejpam-5788	349	29	(	(	PUNCT
ejpam-5788	349	30	c1	c1	PROPN
ejpam-5788	349	31	σ	σ	PROPN
ejpam-5788	349	32	)	)	PUNCT
ejpam-5788	350	1	θ	θ	PROPN
ejpam-5788	350	2	]	]	PUNCT
ejpam-5788	350	3	(	(	PUNCT
ejpam-5788	350	4	d1−n1	d1−n1	NOUN
ejpam-5788	350	5	)	)	PUNCT
ejpam-5788	350	6	×	×	NOUN
ejpam-5788	350	7	[	[	PUNCT
ejpam-5788	350	8	1	1	NUM
ejpam-5788	350	9	+	+	CCONJ
ejpam-5788	350	10	(	(	PUNCT
ejpam-5788	350	11	c2	c2	PROPN
ejpam-5788	350	12	σ	σ	PROPN
ejpam-5788	350	13	)	)	PUNCT
ejpam-5788	350	14	θ	θ	PROPN
ejpam-5788	350	15	]	]	PUNCT
ejpam-5788	350	16	λ(d2−n2	λ(d2−n2	X
ejpam-5788	350	17	)	)	PUNCT
ejpam-5788	350	18	e−(θ+1	e−(θ+1	PROPN
ejpam-5788	350	19	)	)	PUNCT
ejpam-5788	351	1	∑d1	∑d1	PROPN
ejpam-5788	352	1	i=1	i=1	PROPN
ejpam-5788	352	2	log	log	VERB
ejpam-5788	352	3	x1i	x1i	PROPN
ejpam-5788	353	1	e	e	PROPN
ejpam-5788	353	2	−2	−2	PROPN
ejpam-5788	353	3	∑d1	∑d1	PROPN
ejpam-5788	353	4	i=1	i=1	PROPN
ejpam-5788	353	5	log(1	log(1	VERB
ejpam-5788	354	1	+	+	PROPN
ejpam-5788	354	2	(	(	PUNCT
ejpam-5788	354	3	σ	σ	PROPN
ejpam-5788	354	4	x1i	x1i	PROPN
ejpam-5788	354	5	)	)	PUNCT
ejpam-5788	354	6	θ	θ	PROPN
ejpam-5788	354	7	)	)	PUNCT
ejpam-5788	354	8	×	×	PROPN
ejpam-5788	354	9	e−(λθ+1	e−(λθ+1	PROPN
ejpam-5788	354	10	)	)	PUNCT
ejpam-5788	354	11	∑d2	∑d2	PROPN
ejpam-5788	355	1	i=1	i=1	PROPN
ejpam-5788	355	2	log	log	VERB
ejpam-5788	355	3	x2i	x2i	PROPN
ejpam-5788	356	1	e	e	PROPN
ejpam-5788	356	2	−(λ+1	−(λ+1	PROPN
ejpam-5788	356	3	)	)	PUNCT
ejpam-5788	357	1	∑d2	∑d2	PROPN
ejpam-5788	357	2	i=1	i=1	PROPN
ejpam-5788	357	3	log(1	log(1	VERB
ejpam-5788	358	1	+	+	PROPN
ejpam-5788	358	2	(	(	PUNCT
ejpam-5788	358	3	σ	σ	PROPN
ejpam-5788	358	4	x2i	x2i	PROPN
ejpam-5788	358	5	)	)	PUNCT
ejpam-5788	358	6	θ	θ	PROPN
ejpam-5788	358	7	)	)	PUNCT
ejpam-5788	358	8	.	.	PUNCT
ejpam-5788	359	1	(	(	PUNCT
ejpam-5788	359	2	23	23	NUM
ejpam-5788	359	3	)	)	PUNCT
ejpam-5788	359	4	where	where	SCONJ
ejpam-5788	359	5	a	a	PRON
ejpam-5788	359	6	is	be	AUX
ejpam-5788	359	7	a	a	DET
ejpam-5788	359	8	normalizing	normalizing	ADJ
ejpam-5788	359	9	constant	constant	ADJ
ejpam-5788	359	10	,	,	PUNCT
ejpam-5788	359	11	provided	provide	VERB
ejpam-5788	359	12	by	by	ADP
ejpam-5788	359	13	;	;	PUNCT
ejpam-5788	359	14	a	a	DET
ejpam-5788	359	15	=	=	SYM
ejpam-5788	359	16	∫	∫	PROPN
ejpam-5788	359	17	∞	∞	NUM
ejpam-5788	359	18	1	1	NUM
ejpam-5788	359	19	∫	∫	PROPN
ejpam-5788	359	20	d	d	X
ejpam-5788	359	21	0	0	NUM
ejpam-5788	359	22	∫	∫	PROPN
ejpam-5788	359	23	∞	∞	NOUN
ejpam-5788	359	24	0	0	NUM
ejpam-5788	360	1	l(θ	l(θ	PROPN
ejpam-5788	360	2	,	,	PUNCT
ejpam-5788	360	3	σ	σ	PROPN
ejpam-5788	360	4	,	,	PUNCT
ejpam-5788	360	5	λ|x	λ|x	PROPN
ejpam-5788	360	6	)	)	PUNCT
ejpam-5788	360	7	π∗(θ	π∗(θ	PROPN
ejpam-5788	360	8	,	,	PUNCT
ejpam-5788	360	9	σ	σ	PROPN
ejpam-5788	360	10	,	,	PUNCT
ejpam-5788	360	11	λ	λ	NOUN
ejpam-5788	360	12	)	)	PUNCT
ejpam-5788	360	13	dθdσdλ	dθdσdλ	NOUN
ejpam-5788	360	14	.	.	PUNCT
ejpam-5788	361	1	it	it	PRON
ejpam-5788	361	2	is	be	AUX
ejpam-5788	361	3	clear	clear	ADJ
ejpam-5788	361	4	that	that	SCONJ
ejpam-5788	361	5	eq.(23	eq.(23	NOUN
ejpam-5788	361	6	)	)	PUNCT
ejpam-5788	361	7	is	be	AUX
ejpam-5788	361	8	analytically	analytically	ADV
ejpam-5788	361	9	tricky	tricky	ADJ
ejpam-5788	361	10	.	.	PUNCT
ejpam-5788	362	1	furthermore	furthermore	ADV
ejpam-5788	362	2	,	,	PUNCT
ejpam-5788	362	3	the	the	DET
ejpam-5788	362	4	bayesian	bayesian	NOUN
ejpam-5788	362	5	estimation	estimation	NOUN
ejpam-5788	362	6	of	of	ADP
ejpam-5788	362	7	a	a	DET
ejpam-5788	362	8	function	function	NOUN
ejpam-5788	362	9	with	with	ADP
ejpam-5788	362	10	θ	θ	PROPN
ejpam-5788	362	11	,	,	PUNCT
ejpam-5788	362	12	σ	σ	PROPN
ejpam-5788	362	13	and	and	CCONJ
ejpam-5788	362	14	λ	λ	PROPN
ejpam-5788	362	15	is	be	AUX
ejpam-5788	362	16	also	also	ADV
ejpam-5788	362	17	intractable	intractable	ADJ
ejpam-5788	362	18	because	because	SCONJ
ejpam-5788	362	19	it	it	PRON
ejpam-5788	362	20	is	be	AUX
ejpam-5788	362	21	related	relate	VERB
ejpam-5788	362	22	to	to	ADP
ejpam-5788	362	23	a	a	DET
ejpam-5788	362	24	ratio	ratio	NOUN
ejpam-5788	362	25	of	of	ADP
ejpam-5788	362	26	three	three	NUM
ejpam-5788	362	27	integrals	integral	NOUN
ejpam-5788	362	28	.	.	PUNCT
ejpam-5788	363	1	for	for	ADP
ejpam-5788	363	2	solving	solve	VERB
ejpam-5788	363	3	the	the	DET
ejpam-5788	363	4	corresponding	correspond	VERB
ejpam-5788	363	5	ratio	ratio	NOUN
ejpam-5788	363	6	of	of	ADP
ejpam-5788	363	7	three	three	NUM
ejpam-5788	363	8	integrals	integral	NOUN
ejpam-5788	363	9	,	,	PUNCT
ejpam-5788	363	10	some	some	DET
ejpam-5788	363	11	approximate	approximate	ADJ
ejpam-5788	363	12	approaches	approach	NOUN
ejpam-5788	363	13	have	have	AUX
ejpam-5788	363	14	been	be	AUX
ejpam-5788	363	15	presented	present	VERB
ejpam-5788	363	16	in	in	ADP
ejpam-5788	363	17	the	the	DET
ejpam-5788	363	18	literature	literature	NOUN
ejpam-5788	363	19	.	.	PUNCT
ejpam-5788	364	1	among	among	ADP
ejpam-5788	364	2	them	they	PRON
ejpam-5788	364	3	,	,	PUNCT
ejpam-5788	364	4	the	the	DET
ejpam-5788	364	5	mh	mh	PROPN
ejpam-5788	364	6	algorithm	algorithm	NOUN
ejpam-5788	364	7	is	be	AUX
ejpam-5788	364	8	a	a	DET
ejpam-5788	364	9	simulation	simulation	NOUN
ejpam-5788	364	10	method	method	NOUN
ejpam-5788	364	11	with	with	ADP
ejpam-5788	364	12	wide	wide	ADJ
ejpam-5788	364	13	applications	application	NOUN
ejpam-5788	364	14	in	in	ADP
ejpam-5788	364	15	sampling	sample	VERB
ejpam-5788	364	16	from	from	ADP
ejpam-5788	364	17	posterior	posterior	ADJ
ejpam-5788	364	18	density	density	NOUN
ejpam-5788	364	19	functions	function	NOUN
ejpam-5788	364	20	.	.	PUNCT
ejpam-5788	365	1	in	in	ADP
ejpam-5788	365	2	this	this	DET
ejpam-5788	365	3	article	article	NOUN
ejpam-5788	365	4	,	,	PUNCT
ejpam-5788	365	5	we	we	PRON
ejpam-5788	365	6	use	use	VERB
ejpam-5788	365	7	the	the	DET
ejpam-5788	365	8	mh	mh	PROPN
ejpam-5788	365	9	algorithm	algorithm	NOUN
ejpam-5788	365	10	to	to	PART
ejpam-5788	365	11	derive	derive	VERB
ejpam-5788	365	12	approximate	approximate	ADJ
ejpam-5788	365	13	explicit	explicit	ADJ
ejpam-5788	365	14	forms	form	NOUN
ejpam-5788	365	15	for	for	ADP
ejpam-5788	365	16	the	the	DET
ejpam-5788	365	17	bayesian	bayesian	NOUN
ejpam-5788	365	18	estimates	estimate	NOUN
ejpam-5788	365	19	.	.	PUNCT
ejpam-5788	366	1	in	in	ADP
ejpam-5788	366	2	bayesian	bayesian	NOUN
ejpam-5788	366	3	statistics	statistic	NOUN
ejpam-5788	366	4	,	,	PUNCT
ejpam-5788	366	5	the	the	DET
ejpam-5788	366	6	selection	selection	NOUN
ejpam-5788	366	7	of	of	ADP
ejpam-5788	366	8	the	the	DET
ejpam-5788	366	9	loss	loss	NOUN
ejpam-5788	366	10	function	function	NOUN
ejpam-5788	366	11	is	be	AUX
ejpam-5788	366	12	a	a	DET
ejpam-5788	366	13	fundamental	fundamental	ADJ
ejpam-5788	366	14	step	step	NOUN
ejpam-5788	366	15	.	.	PUNCT
ejpam-5788	367	1	there	there	PRON
ejpam-5788	367	2	are	be	VERB
ejpam-5788	367	3	many	many	ADJ
ejpam-5788	367	4	symmetric	symmetric	ADJ
ejpam-5788	367	5	loss	loss	NOUN
ejpam-5788	367	6	functions	function	NOUN
ejpam-5788	367	7	,	,	PUNCT
ejpam-5788	367	8	among	among	ADP
ejpam-5788	367	9	which	which	PRON
ejpam-5788	367	10	is	be	AUX
ejpam-5788	367	11	se	se	X
ejpam-5788	367	12	loss	loss	NOUN
ejpam-5788	367	13	function	function	NOUN
ejpam-5788	367	14	is	be	AUX
ejpam-5788	367	15	well	well	ADV
ejpam-5788	367	16	known	known	ADJ
ejpam-5788	367	17	for	for	ADP
ejpam-5788	367	18	its	its	PRON
ejpam-5788	367	19	good	good	ADJ
ejpam-5788	367	20	mathematical	mathematical	ADJ
ejpam-5788	367	21	properties	property	NOUN
ejpam-5788	367	22	.	.	PUNCT
ejpam-5788	368	1	let	let	VERB
ejpam-5788	368	2	υ∗	υ∗	NOUN
ejpam-5788	368	3	be	be	AUX
ejpam-5788	368	4	a	a	DET
ejpam-5788	368	5	bayesian	bayesian	NOUN
ejpam-5788	368	6	estimate	estimate	NOUN
ejpam-5788	368	7	of	of	ADP
ejpam-5788	368	8	υ	υ	PROPN
ejpam-5788	368	9	.	.	PUNCT
ejpam-5788	369	1	the	the	DET
ejpam-5788	369	2	form	form	NOUN
ejpam-5788	369	3	of	of	ADP
ejpam-5788	369	4	se	se	X
ejpam-5788	369	5	loss	loss	NOUN
ejpam-5788	369	6	function	function	NOUN
ejpam-5788	369	7	is	be	AUX
ejpam-5788	369	8	;	;	PUNCT
ejpam-5788	369	9	lse(υ	lse(υ	PROPN
ejpam-5788	369	10	∗,υ	∗,υ	NOUN
ejpam-5788	369	11	)	)	PUNCT
ejpam-5788	370	1	=	=	PRON
ejpam-5788	370	2	(	(	PUNCT
ejpam-5788	370	3	υ−υ∗	υ−υ∗	NOUN
ejpam-5788	370	4	)	)	PUNCT
ejpam-5788	370	5	2	2	NUM
ejpam-5788	371	1	now	now	ADV
ejpam-5788	371	2	,	,	PUNCT
ejpam-5788	371	3	we	we	PRON
ejpam-5788	371	4	compute	compute	VERB
ejpam-5788	371	5	the	the	DET
ejpam-5788	371	6	bayes	bayes	PROPN
ejpam-5788	371	7	estimate	estimate	NOUN
ejpam-5788	371	8	of	of	ADP
ejpam-5788	371	9	υ(θ	υ(θ	PROPN
ejpam-5788	371	10	,	,	PUNCT
ejpam-5788	371	11	σ	σ	PROPN
ejpam-5788	371	12	,	,	PUNCT
ejpam-5788	371	13	λ	λ	PROPN
ejpam-5788	371	14	)	)	PUNCT
ejpam-5788	371	15	under	under	ADP
ejpam-5788	371	16	the	the	DET
ejpam-5788	371	17	se	se	PROPN
ejpam-5788	371	18	loss	loss	NOUN
ejpam-5788	371	19	function	function	NOUN
ejpam-5788	371	20	.	.	PUNCT
ejpam-5788	372	1	υ∗(θ	υ∗(θ	PROPN
ejpam-5788	372	2	,	,	PUNCT
ejpam-5788	372	3	σ	σ	PROPN
ejpam-5788	372	4	,	,	PUNCT
ejpam-5788	372	5	λ)se	λ)se	PROPN
ejpam-5788	372	6	=	=	SYM
ejpam-5788	372	7	e[υ(θ	e[υ(θ	PROPN
ejpam-5788	372	8	,	,	PUNCT
ejpam-5788	372	9	σ	σ	PROPN
ejpam-5788	372	10	,	,	PUNCT
ejpam-5788	372	11	λ	λ	NOUN
ejpam-5788	372	12	)	)	PUNCT
ejpam-5788	372	13	|x	|x	NOUN
ejpam-5788	372	14	]	]	PUNCT
ejpam-5788	372	15	=	=	SYM
ejpam-5788	372	16	∫	∫	PROPN
ejpam-5788	372	17	∞	∞	NUM
ejpam-5788	372	18	1	1	NUM
ejpam-5788	372	19	∫	∫	PROPN
ejpam-5788	372	20	d	d	X
ejpam-5788	372	21	0	0	NUM
ejpam-5788	372	22	∫	∫	PROPN
ejpam-5788	372	23	∞	∞	NOUN
ejpam-5788	372	24	0	0	PUNCT
ejpam-5788	373	1	υ(θ	υ(θ	PROPN
ejpam-5788	373	2	,	,	PUNCT
ejpam-5788	373	3	σ	σ	PROPN
ejpam-5788	373	4	,	,	PUNCT
ejpam-5788	373	5	λ)π(θ	λ)π(θ	PROPN
ejpam-5788	373	6	,	,	PUNCT
ejpam-5788	373	7	σ	σ	PROPN
ejpam-5788	373	8	,	,	PUNCT
ejpam-5788	373	9	λ	λ	PROPN
ejpam-5788	373	10	|x	|x	NOUN
ejpam-5788	373	11	)	)	PUNCT
ejpam-5788	373	12	dθdσdλ	dθdσdλ	NOUN
ejpam-5788	373	13	.	.	PUNCT
ejpam-5788	374	1	(	(	PUNCT
ejpam-5788	374	2	24	24	NUM
ejpam-5788	374	3	)	)	PUNCT
ejpam-5788	374	4	however	however	ADV
ejpam-5788	374	5	,	,	PUNCT
ejpam-5788	374	6	in	in	ADP
ejpam-5788	374	7	many	many	ADJ
ejpam-5788	374	8	practical	practical	ADJ
ejpam-5788	374	9	situations	situation	NOUN
ejpam-5788	374	10	,	,	PUNCT
ejpam-5788	374	11	overestimation	overestimation	NOUN
ejpam-5788	374	12	and	and	CCONJ
ejpam-5788	374	13	underestimation	underestimation	NOUN
ejpam-5788	374	14	result	result	NOUN
ejpam-5788	374	15	in	in	ADP
ejpam-5788	374	16	different	different	ADJ
ejpam-5788	374	17	losses	loss	NOUN
ejpam-5788	374	18	,	,	PUNCT
ejpam-5788	374	19	and	and	CCONJ
ejpam-5788	374	20	the	the	DET
ejpam-5788	374	21	consequence	consequence	NOUN
ejpam-5788	374	22	is	be	AUX
ejpam-5788	374	23	likely	likely	ADJ
ejpam-5788	374	24	to	to	PART
ejpam-5788	374	25	be	be	AUX
ejpam-5788	374	26	quite	quite	ADV
ejpam-5788	374	27	serious	serious	ADJ
ejpam-5788	374	28	if	if	SCONJ
ejpam-5788	374	29	one	one	PRON
ejpam-5788	374	30	uses	use	VERB
ejpam-5788	374	31	symmetric	symmetric	ADJ
ejpam-5788	374	32	loss	loss	NOUN
ejpam-5788	374	33	function	function	NOUN
ejpam-5788	374	34	indiscriminately	indiscriminately	ADV
ejpam-5788	374	35	.	.	PUNCT
ejpam-5788	375	1	in	in	ADP
ejpam-5788	375	2	the	the	DET
ejpam-5788	375	3	literature	literature	NOUN
ejpam-5788	375	4	,	,	PUNCT
ejpam-5788	375	5	many	many	ADJ
ejpam-5788	375	6	different	different	ADJ
ejpam-5788	375	7	asymmetric	asymmetric	ADJ
ejpam-5788	375	8	loss	loss	NOUN
ejpam-5788	375	9	functions	function	NOUN
ejpam-5788	375	10	were	be	AUX
ejpam-5788	375	11	used	use	VERB
ejpam-5788	375	12	.	.	PUNCT
ejpam-5788	376	1	among	among	ADP
ejpam-5788	376	2	them	they	PRON
ejpam-5788	376	3	,	,	PUNCT
ejpam-5788	376	4	linex	linex	ADV
ejpam-5788	376	5	is	be	AUX
ejpam-5788	376	6	dominant	dominant	ADJ
ejpam-5788	376	7	,	,	PUNCT
ejpam-5788	376	8	and	and	CCONJ
ejpam-5788	376	9	this	this	DET
ejpam-5788	376	10	loss	loss	NOUN
ejpam-5788	376	11	function	function	NOUN
ejpam-5788	376	12	can	can	AUX
ejpam-5788	376	13	be	be	AUX
ejpam-5788	376	14	expressed	express	VERB
ejpam-5788	376	15	as	as	ADP
ejpam-5788	376	16	;	;	PUNCT
ejpam-5788	376	17	lll(υ	lll(υ	PROPN
ejpam-5788	376	18	∗,υ	∗,υ	PROPN
ejpam-5788	376	19	)	)	PUNCT
ejpam-5788	376	20	=	=	SYM
ejpam-5788	376	21	eh	eh	INTJ
ejpam-5788	376	22	∗(υ∗−υ	∗(υ∗−υ	PROPN
ejpam-5788	376	23	)	)	PUNCT
ejpam-5788	376	24	−	−	PROPN
ejpam-5788	376	25	h∗(υ∗	h∗(υ∗	NOUN
ejpam-5788	376	26	−υ)−	−υ)−	PROPN
ejpam-5788	376	27	1	1	NUM
ejpam-5788	376	28	,	,	PUNCT
ejpam-5788	376	29	h∗	h∗	PROPN
ejpam-5788	376	30	̸=	̸=	PROPN
ejpam-5788	376	31	0	0	NUM
ejpam-5788	376	32	.	.	PUNCT
ejpam-5788	377	1	the	the	DET
ejpam-5788	377	2	constant	constant	ADJ
ejpam-5788	377	3	h∗	h∗	NOUN
ejpam-5788	377	4	represented	represent	VERB
ejpam-5788	377	5	the	the	DET
ejpam-5788	377	6	weight	weight	NOUN
ejpam-5788	377	7	of	of	ADP
ejpam-5788	377	8	error	error	NOUN
ejpam-5788	377	9	on	on	ADP
ejpam-5788	377	10	different	different	ADJ
ejpam-5788	377	11	decisions	decision	NOUN
ejpam-5788	377	12	.	.	PUNCT
ejpam-5788	378	1	under	under	ADP
ejpam-5788	378	2	the	the	DET
ejpam-5788	378	3	above	above	ADJ
ejpam-5788	378	4	loss	loss	NOUN
ejpam-5788	378	5	function	function	NOUN
ejpam-5788	378	6	,	,	PUNCT
ejpam-5788	378	7	the	the	DET
ejpam-5788	378	8	bayesian	bayesian	NOUN
ejpam-5788	378	9	estimate	estimate	NOUN
ejpam-5788	378	10	of	of	ADP
ejpam-5788	378	11	the	the	DET
ejpam-5788	378	12	function	function	NOUN
ejpam-5788	378	13	υ(θ	υ(θ	PROPN
ejpam-5788	378	14	,	,	PUNCT
ejpam-5788	378	15	σ	σ	PROPN
ejpam-5788	378	16	,	,	PUNCT
ejpam-5788	378	17	λ	λ	NOUN
ejpam-5788	378	18	)	)	PUNCT
ejpam-5788	378	19	can	can	AUX
ejpam-5788	378	20	be	be	AUX
ejpam-5788	378	21	calculated	calculate	VERB
ejpam-5788	378	22	by	by	ADP
ejpam-5788	378	23	;	;	PUNCT
ejpam-5788	378	24	υ∗(θ	υ∗(θ	PROPN
ejpam-5788	378	25	,	,	PUNCT
ejpam-5788	378	26	σ	σ	PROPN
ejpam-5788	378	27	,	,	PUNCT
ejpam-5788	378	28	λ)ll	λ)ll	PROPN
ejpam-5788	378	29	=	=	SYM
ejpam-5788	378	30	−	−	PROPN
ejpam-5788	378	31	1	1	NUM
ejpam-5788	378	32	h∗	h∗	PROPN
ejpam-5788	378	33	ln[e(e−h∗υ(θ	ln[e(e−h∗υ(θ	PROPN
ejpam-5788	378	34	,	,	PUNCT
ejpam-5788	378	35	σ	σ	PROPN
ejpam-5788	378	36	,	,	PUNCT
ejpam-5788	378	37	λ	λ	PROPN
ejpam-5788	378	38	)	)	PUNCT
ejpam-5788	378	39	|x	|x	NOUN
ejpam-5788	378	40	)	)	PUNCT
ejpam-5788	378	41	]	]	PUNCT
ejpam-5788	379	1	=	=	PUNCT
ejpam-5788	380	1	−	−	PROPN
ejpam-5788	380	2	1	1	NUM
ejpam-5788	380	3	h∗	h∗	PROPN
ejpam-5788	380	4	ln	ln	PROPN
ejpam-5788	381	1	[	[	X
ejpam-5788	381	2	∫	∫	X
ejpam-5788	381	3	∞	∞	NUM
ejpam-5788	381	4	1	1	NUM
ejpam-5788	381	5	∫	∫	NOUN
ejpam-5788	381	6	d∗	d∗	PROPN
ejpam-5788	381	7	0	0	NUM
ejpam-5788	381	8	∫	∫	PROPN
ejpam-5788	381	9	∞	∞	PROPN
ejpam-5788	381	10	0	0	NUM
ejpam-5788	381	11	e−h∗υ(θ	e−h∗υ(θ	PROPN
ejpam-5788	381	12	,	,	PUNCT
ejpam-5788	381	13	σ	σ	PROPN
ejpam-5788	381	14	,	,	PUNCT
ejpam-5788	381	15	λ	λ	NOUN
ejpam-5788	381	16	)	)	PUNCT
ejpam-5788	381	17	π(θ	π(θ	PROPN
ejpam-5788	381	18	,	,	PUNCT
ejpam-5788	381	19	σ	σ	PROPN
ejpam-5788	381	20	,	,	PUNCT
ejpam-5788	381	21	λ	λ	PROPN
ejpam-5788	381	22	|x	|x	NOUN
ejpam-5788	381	23	)	)	PUNCT
ejpam-5788	381	24	dθdσdλ	dθdσdλ	NOUN
ejpam-5788	381	25	]	]	PUNCT
ejpam-5788	381	26	.	.	PUNCT
ejpam-5788	382	1	(	(	PUNCT
ejpam-5788	382	2	25	25	NUM
ejpam-5788	382	3	)	)	PUNCT
ejpam-5788	382	4	a.	a.	NOUN
ejpam-5788	382	5	a.	a.	PROPN
ejpam-5788	382	6	soliman	soliman	PROPN
ejpam-5788	382	7	et	et	PROPN
ejpam-5788	382	8	al	al	PROPN
ejpam-5788	382	9	.	.	PUNCT
ejpam-5788	382	10	/	/	SYM
ejpam-5788	382	11	eur	eur	PROPN
ejpam-5788	382	12	.	.	PUNCT
ejpam-5788	383	1	j.	j.	PROPN
ejpam-5788	383	2	pure	pure	PROPN
ejpam-5788	383	3	appl	appl	PROPN
ejpam-5788	383	4	.	.	PROPN
ejpam-5788	383	5	math	math	PROPN
ejpam-5788	383	6	,	,	PUNCT
ejpam-5788	383	7	18	18	NUM
ejpam-5788	383	8	(	(	PUNCT
ejpam-5788	383	9	2	2	NUM
ejpam-5788	383	10	)	)	PUNCT
ejpam-5788	383	11	(	(	PUNCT
ejpam-5788	383	12	2025	2025	NUM
ejpam-5788	383	13	)	)	PUNCT
ejpam-5788	383	14	,	,	PUNCT
ejpam-5788	383	15	5788	5788	NUM
ejpam-5788	383	16	14	14	NUM
ejpam-5788	383	17	of	of	ADP
ejpam-5788	383	18	34	34	NUM
ejpam-5788	383	19	for	for	ADP
ejpam-5788	383	20	θ	θ	PROPN
ejpam-5788	383	21	,	,	PUNCT
ejpam-5788	383	22	σ	σ	PROPN
ejpam-5788	383	23	and	and	CCONJ
ejpam-5788	383	24	λ	λ	PROPN
ejpam-5788	383	25	,	,	PUNCT
ejpam-5788	383	26	the	the	DET
ejpam-5788	383	27	full	full	ADJ
ejpam-5788	383	28	conditionals	conditional	NOUN
ejpam-5788	383	29	can	can	AUX
ejpam-5788	383	30	be	be	AUX
ejpam-5788	383	31	expressed	express	VERB
ejpam-5788	383	32	as	as	ADP
ejpam-5788	383	33	;	;	PUNCT
ejpam-5788	383	34	π1(θ|σ	π1(θ|σ	PROPN
ejpam-5788	383	35	,	,	PUNCT
ejpam-5788	383	36	λ	λ	NOUN
ejpam-5788	383	37	)	)	PUNCT
ejpam-5788	383	38	∝	∝	PROPN
ejpam-5788	383	39	θ(d1+d2+a)c−θσθ(d1+λd2+b	θ(d1+d2+a)c−θσθ(d1+λd2+b	PROPN
ejpam-5788	383	40	)	)	PUNCT
ejpam-5788	384	1	[	[	PUNCT
ejpam-5788	384	2	1	1	NUM
ejpam-5788	384	3	+	+	CCONJ
ejpam-5788	384	4	(	(	PUNCT
ejpam-5788	384	5	c1	c1	PROPN
ejpam-5788	384	6	σ	σ	PROPN
ejpam-5788	384	7	)	)	PUNCT
ejpam-5788	384	8	θ](d1−n1	θ](d1−n1	NOUN
ejpam-5788	384	9	)	)	PUNCT
ejpam-5788	384	10	[	[	PUNCT
ejpam-5788	384	11	1	1	NUM
ejpam-5788	384	12	+	+	CCONJ
ejpam-5788	384	13	(	(	PUNCT
ejpam-5788	384	14	c2	c2	PROPN
ejpam-5788	384	15	σ	σ	PROPN
ejpam-5788	384	16	)	)	PUNCT
ejpam-5788	384	17	θ]λ(d2−n2	θ]λ(d2−n2	PROPN
ejpam-5788	384	18	)	)	PUNCT
ejpam-5788	384	19	×	×	NOUN
ejpam-5788	384	20	e	e	NOUN
ejpam-5788	384	21	−θ	−θ	NOUN
ejpam-5788	384	22	∑d1	∑d1	PROPN
ejpam-5788	385	1	i=1	i=1	PROPN
ejpam-5788	385	2	log	log	VERB
ejpam-5788	385	3	x1i−2	x1i−2	PROPN
ejpam-5788	385	4	∑d1	∑d1	PROPN
ejpam-5788	386	1	i=1	i=1	PROPN
ejpam-5788	386	2	log(1	log(1	VERB
ejpam-5788	387	1	+	+	PROPN
ejpam-5788	387	2	(	(	PUNCT
ejpam-5788	387	3	σ	σ	PROPN
ejpam-5788	387	4	x1i	x1i	PROPN
ejpam-5788	387	5	)	)	PUNCT
ejpam-5788	388	1	θ)−λθ	θ)−λθ	NUM
ejpam-5788	389	1	∑d2	∑d2	PROPN
ejpam-5788	389	2	i=1	i=1	PROPN
ejpam-5788	389	3	log	log	PROPN
ejpam-5788	389	4	x2i−(λ+1	x2i−(λ+1	NOUN
ejpam-5788	389	5	)	)	PUNCT
ejpam-5788	390	1	∑d2	∑d2	PROPN
ejpam-5788	390	2	i=1	i=1	PROPN
ejpam-5788	391	1	log(1	log(1	VERB
ejpam-5788	392	1	+	+	PROPN
ejpam-5788	392	2	(	(	PUNCT
ejpam-5788	392	3	σ	σ	PROPN
ejpam-5788	392	4	x2i	x2i	PROPN
ejpam-5788	392	5	)	)	PUNCT
ejpam-5788	392	6	θ	θ	PROPN
ejpam-5788	392	7	)	)	PUNCT
ejpam-5788	392	8	(	(	PUNCT
ejpam-5788	392	9	26	26	NUM
ejpam-5788	392	10	)	)	PUNCT
ejpam-5788	392	11	π2(σ|θ	π2(σ|θ	NUM
ejpam-5788	392	12	,	,	PUNCT
ejpam-5788	392	13	λ	λ	NOUN
ejpam-5788	392	14	)	)	PUNCT
ejpam-5788	392	15	∝	∝	PROPN
ejpam-5788	392	16	σθ(d1+λd2+b−1	σθ(d1+λd2+b−1	PROPN
ejpam-5788	392	17	)	)	PUNCT
ejpam-5788	392	18	[	[	PUNCT
ejpam-5788	392	19	1	1	NUM
ejpam-5788	392	20	+	+	CCONJ
ejpam-5788	392	21	(	(	PUNCT
ejpam-5788	392	22	c1	c1	PROPN
ejpam-5788	392	23	σ	σ	PROPN
ejpam-5788	392	24	)	)	PUNCT
ejpam-5788	392	25	θ](d1−n1	θ](d1−n1	NOUN
ejpam-5788	392	26	)	)	PUNCT
ejpam-5788	392	27	[	[	PUNCT
ejpam-5788	392	28	1	1	NUM
ejpam-5788	392	29	+	+	CCONJ
ejpam-5788	392	30	(	(	PUNCT
ejpam-5788	392	31	c2	c2	PROPN
ejpam-5788	392	32	σ	σ	PROPN
ejpam-5788	392	33	)	)	PUNCT
ejpam-5788	393	1	θ]λ(d2−n2	θ]λ(d2−n2	PROPN
ejpam-5788	393	2	)	)	PUNCT
ejpam-5788	393	3	×	×	NOUN
ejpam-5788	393	4	e	e	NOUN
ejpam-5788	393	5	−2	−2	NOUN
ejpam-5788	393	6	∑d1	∑d1	PROPN
ejpam-5788	393	7	i=1	i=1	PROPN
ejpam-5788	393	8	log(1	log(1	VERB
ejpam-5788	394	1	+	+	PROPN
ejpam-5788	394	2	(	(	PUNCT
ejpam-5788	394	3	σ	σ	PROPN
ejpam-5788	394	4	x1i	x1i	PROPN
ejpam-5788	394	5	)	)	PUNCT
ejpam-5788	394	6	θ)−(λ+1	θ)−(λ+1	X
ejpam-5788	394	7	)	)	PUNCT
ejpam-5788	394	8	∑d2	∑d2	NOUN
ejpam-5788	394	9	i=1	i=1	PROPN
ejpam-5788	394	10	log(1	log(1	VERB
ejpam-5788	395	1	+	+	PROPN
ejpam-5788	395	2	(	(	PUNCT
ejpam-5788	395	3	σ	σ	PROPN
ejpam-5788	395	4	x2i	x2i	PROPN
ejpam-5788	395	5	)	)	PUNCT
ejpam-5788	395	6	θ	θ	PROPN
ejpam-5788	395	7	)	)	PUNCT
ejpam-5788	395	8	(	(	PUNCT
ejpam-5788	395	9	27	27	NUM
ejpam-5788	395	10	)	)	PUNCT
ejpam-5788	395	11	π3(λ|θ	π3(λ|θ	PUNCT
ejpam-5788	395	12	,	,	PUNCT
ejpam-5788	395	13	σ	σ	X
ejpam-5788	395	14	)	)	PUNCT
ejpam-5788	395	15	∝	∝	PROPN
ejpam-5788	395	16	λd2−1	λd2−1	NOUN
ejpam-5788	395	17	σθλd2	σθλd2	PROPN
ejpam-5788	396	1	[	[	PUNCT
ejpam-5788	396	2	1	1	NUM
ejpam-5788	396	3	+	+	CCONJ
ejpam-5788	396	4	(	(	PUNCT
ejpam-5788	396	5	c2	c2	PROPN
ejpam-5788	396	6	σ	σ	PROPN
ejpam-5788	396	7	)	)	PUNCT
ejpam-5788	396	8	θ]λ(d2−n2	θ]λ(d2−n2	PROPN
ejpam-5788	396	9	)	)	PUNCT
ejpam-5788	396	10	e	e	X
ejpam-5788	396	11	λn2	λn2	NOUN
ejpam-5788	396	12	log	log	VERB
ejpam-5788	396	13	2−λθ	2−λθ	NUM
ejpam-5788	397	1	∑d2	∑d2	NOUN
ejpam-5788	398	1	i=1	i=1	PROPN
ejpam-5788	398	2	log	log	VERB
ejpam-5788	398	3	x2i−λ	x2i−λ	PROPN
ejpam-5788	399	1	∑d2	∑d2	PROPN
ejpam-5788	399	2	i=1	i=1	PROPN
ejpam-5788	400	1	log(1	log(1	VERB
ejpam-5788	401	1	+	+	PROPN
ejpam-5788	401	2	(	(	PUNCT
ejpam-5788	401	3	σ	σ	PROPN
ejpam-5788	401	4	x2i	x2i	PROPN
ejpam-5788	401	5	)	)	PUNCT
ejpam-5788	401	6	θ	θ	PROPN
ejpam-5788	401	7	)	)	PUNCT
ejpam-5788	401	8	(	(	PUNCT
ejpam-5788	401	9	28	28	NUM
ejpam-5788	401	10	)	)	PUNCT
ejpam-5788	402	1	the	the	DET
ejpam-5788	402	2	conditional	conditional	ADJ
ejpam-5788	402	3	posterior	posterior	ADJ
ejpam-5788	402	4	functions	function	NOUN
ejpam-5788	402	5	of	of	ADP
ejpam-5788	402	6	the	the	DET
ejpam-5788	402	7	parameters	parameter	NOUN
ejpam-5788	402	8	θ	θ	PROPN
ejpam-5788	402	9	,	,	PUNCT
ejpam-5788	402	10	σ	σ	PROPN
ejpam-5788	402	11	and	and	CCONJ
ejpam-5788	402	12	λ	λ	PROPN
ejpam-5788	402	13	in	in	ADP
ejpam-5788	402	14	eqs.(26–28	eqs.(26–28	NOUN
ejpam-5788	402	15	)	)	PUNCT
ejpam-5788	402	16	do	do	AUX
ejpam-5788	402	17	not	not	PART
ejpam-5788	402	18	present	present	VERB
ejpam-5788	402	19	standard	standard	ADJ
ejpam-5788	402	20	form	form	NOUN
ejpam-5788	402	21	.	.	PUNCT
ejpam-5788	403	1	therefore	therefore	ADV
ejpam-5788	403	2	,	,	PUNCT
ejpam-5788	403	3	we	we	PRON
ejpam-5788	403	4	generate	generate	VERB
ejpam-5788	403	5	random	random	ADJ
ejpam-5788	403	6	samples	sample	NOUN
ejpam-5788	403	7	from	from	ADP
ejpam-5788	403	8	these	these	DET
ejpam-5788	403	9	distributions	distribution	NOUN
ejpam-5788	403	10	using	use	VERB
ejpam-5788	403	11	the	the	DET
ejpam-5788	403	12	metropolis	metropoli	NOUN
ejpam-5788	403	13	–	–	PUNCT
ejpam-5788	403	14	hastings	hastings	PROPN
ejpam-5788	403	15	(	(	PUNCT
ejpam-5788	403	16	m	m	PROPN
ejpam-5788	403	17	–	–	PUNCT
ejpam-5788	403	18	h	h	NOUN
ejpam-5788	403	19	)	)	PUNCT
ejpam-5788	403	20	algorithm	algorithm	NOUN
ejpam-5788	403	21	with	with	ADP
ejpam-5788	403	22	proposal	proposal	NOUN
ejpam-5788	403	23	distribution	distribution	NOUN
ejpam-5788	403	24	.	.	PUNCT
ejpam-5788	404	1	since	since	SCONJ
ejpam-5788	404	2	gibbs	gibbs	PROPN
ejpam-5788	404	3	sampling	sampling	NOUN
ejpam-5788	404	4	is	be	AUX
ejpam-5788	404	5	not	not	PART
ejpam-5788	404	6	a	a	DET
ejpam-5788	404	7	clear	clear	ADV
ejpam-5788	404	8	-	-	PUNCT
ejpam-5788	404	9	cut	cut	VERB
ejpam-5788	404	10	alternative	alternative	NOUN
ejpam-5788	404	11	and	and	CCONJ
ejpam-5788	404	12	the	the	DET
ejpam-5788	404	13	conditional	conditional	ADJ
ejpam-5788	404	14	posteriors	posterior	NOUN
ejpam-5788	404	15	of	of	ADP
ejpam-5788	404	16	θ	θ	PROPN
ejpam-5788	404	17	,	,	PUNCT
ejpam-5788	404	18	σ	σ	PROPN
ejpam-5788	404	19	and	and	CCONJ
ejpam-5788	404	20	λ	λ	PROPN
ejpam-5788	404	21	in	in	ADP
ejpam-5788	404	22	eqs.(26–28	eqs.(26–28	NOUN
ejpam-5788	404	23	)	)	PUNCT
ejpam-5788	404	24	do	do	AUX
ejpam-5788	404	25	not	not	PART
ejpam-5788	404	26	give	give	VERB
ejpam-5788	404	27	conventional	conventional	ADJ
ejpam-5788	404	28	forms	form	NOUN
ejpam-5788	404	29	,	,	PUNCT
ejpam-5788	404	30	the	the	DET
ejpam-5788	404	31	application	application	NOUN
ejpam-5788	404	32	of	of	ADP
ejpam-5788	404	33	the	the	DET
ejpam-5788	404	34	m	m	PROPN
ejpam-5788	404	35	–	–	PUNCT
ejpam-5788	404	36	h	h	NOUN
ejpam-5788	404	37	sampler	sampler	NOUN
ejpam-5788	404	38	is	be	AUX
ejpam-5788	404	39	necessary	necessary	ADJ
ejpam-5788	404	40	for	for	ADP
ejpam-5788	404	41	the	the	DET
ejpam-5788	404	42	implementation	implementation	NOUN
ejpam-5788	404	43	of	of	ADP
ejpam-5788	404	44	the	the	DET
ejpam-5788	404	45	markov	markov	NOUN
ejpam-5788	404	46	chain	chain	NOUN
ejpam-5788	404	47	monte	monte	PROPN
ejpam-5788	404	48	carlo	carlo	PROPN
ejpam-5788	404	49	(	(	PUNCT
ejpam-5788	404	50	mcmc	mcmc	PROPN
ejpam-5788	404	51	)	)	PUNCT
ejpam-5788	404	52	approach	approach	NOUN
ejpam-5788	404	53	.	.	PUNCT
ejpam-5788	405	1	a	a	DET
ejpam-5788	405	2	detailed	detailed	ADJ
ejpam-5788	405	3	discussion	discussion	NOUN
ejpam-5788	405	4	about	about	ADP
ejpam-5788	405	5	mcmc	mcmc	PROPN
ejpam-5788	405	6	and	and	CCONJ
ejpam-5788	405	7	m	m	PROPN
ejpam-5788	405	8	-	-	PROPN
ejpam-5788	405	9	h	h	NOUN
ejpam-5788	405	10	algorithm	algorithm	NOUN
ejpam-5788	405	11	can	can	AUX
ejpam-5788	405	12	be	be	AUX
ejpam-5788	405	13	found	find	VERB
ejpam-5788	405	14	in	in	ADP
ejpam-5788	405	15	refs.[36],[37	refs.[36],[37	PROPN
ejpam-5788	405	16	]	]	PUNCT
ejpam-5788	405	17	,	,	PUNCT
ejpam-5788	405	18	and	and	CCONJ
ejpam-5788	405	19	[	[	X
ejpam-5788	405	20	38	38	NUM
ejpam-5788	405	21	]	]	PUNCT
ejpam-5788	405	22	.	.	PUNCT
ejpam-5788	406	1	the	the	DET
ejpam-5788	406	2	procedures	procedure	NOUN
ejpam-5788	406	3	outlined	outline	VERB
ejpam-5788	406	4	in	in	ADP
ejpam-5788	406	5	algo.(1	algo.(1	PROPN
ejpam-5788	406	6	)	)	PUNCT
ejpam-5788	406	7	are	be	AUX
ejpam-5788	406	8	utilized	utilize	VERB
ejpam-5788	406	9	to	to	PART
ejpam-5788	406	10	derive	derive	VERB
ejpam-5788	406	11	bayesian	bayesian	NOUN
ejpam-5788	406	12	estimation	estimation	NOUN
ejpam-5788	406	13	for	for	ADP
ejpam-5788	406	14	parameters	parameter	NOUN
ejpam-5788	406	15	θ	θ	PROPN
ejpam-5788	406	16	,	,	PUNCT
ejpam-5788	406	17	σ	σ	PROPN
ejpam-5788	406	18	and	and	CCONJ
ejpam-5788	406	19	λ	λ	PROPN
ejpam-5788	406	20	.	.	PUNCT
ejpam-5788	407	1	a.	a.	PROPN
ejpam-5788	407	2	a.	a.	PROPN
ejpam-5788	407	3	soliman	soliman	PROPN
ejpam-5788	407	4	et	et	PROPN
ejpam-5788	407	5	al	al	PROPN
ejpam-5788	407	6	.	.	PUNCT
ejpam-5788	407	7	/	/	SYM
ejpam-5788	407	8	eur	eur	PROPN
ejpam-5788	407	9	.	.	PUNCT
ejpam-5788	408	1	j.	j.	PROPN
ejpam-5788	408	2	pure	pure	PROPN
ejpam-5788	408	3	appl	appl	PROPN
ejpam-5788	408	4	.	.	PROPN
ejpam-5788	408	5	math	math	PROPN
ejpam-5788	408	6	,	,	PUNCT
ejpam-5788	408	7	18	18	NUM
ejpam-5788	408	8	(	(	PUNCT
ejpam-5788	408	9	2	2	NUM
ejpam-5788	408	10	)	)	PUNCT
ejpam-5788	408	11	(	(	PUNCT
ejpam-5788	408	12	2025	2025	NUM
ejpam-5788	408	13	)	)	PUNCT
ejpam-5788	408	14	,	,	PUNCT
ejpam-5788	408	15	5788	5788	NUM
ejpam-5788	408	16	15	15	NUM
ejpam-5788	408	17	of	of	ADP
ejpam-5788	408	18	34	34	NUM
ejpam-5788	408	19	algorithm	algorithm	NOUN
ejpam-5788	408	20	1	1	NUM
ejpam-5788	408	21	.	.	PUNCT
ejpam-5788	409	1	mh	mh	NOUN
ejpam-5788	409	2	sampling	sample	VERB
ejpam-5788	409	3	for	for	ADP
ejpam-5788	409	4	bayesian	bayesian	NOUN
ejpam-5788	409	5	estimation	estimation	NOUN
ejpam-5788	409	6	.	.	PUNCT
ejpam-5788	410	1	step	step	NOUN
ejpam-5788	410	2	1	1	NUM
ejpam-5788	410	3	:	:	PUNCT
ejpam-5788	410	4	set	set	VERB
ejpam-5788	410	5	l	l	NOUN
ejpam-5788	410	6	=	=	SYM
ejpam-5788	410	7	1	1	NUM
ejpam-5788	410	8	and	and	CCONJ
ejpam-5788	410	9	the	the	DET
ejpam-5788	410	10	initial	initial	ADJ
ejpam-5788	410	11	value	value	NOUN
ejpam-5788	410	12	of	of	ADP
ejpam-5788	410	13	the	the	DET
ejpam-5788	410	14	parameters	parameter	NOUN
ejpam-5788	410	15	as	as	ADP
ejpam-5788	410	16	(	(	PUNCT
ejpam-5788	410	17	θ(0	θ(0	PROPN
ejpam-5788	410	18	)	)	PUNCT
ejpam-5788	410	19	,	,	PUNCT
ejpam-5788	410	20	σ(0	σ(0	PROPN
ejpam-5788	410	21	)	)	PUNCT
ejpam-5788	410	22	,	,	PUNCT
ejpam-5788	410	23	λ(0	λ(0	NOUN
ejpam-5788	410	24	)	)	PUNCT
ejpam-5788	410	25	)	)	PUNCT
ejpam-5788	411	1	=	=	SYM
ejpam-5788	411	2	(	(	PUNCT
ejpam-5788	411	3	θ̂ml	θ̂ml	NOUN
ejpam-5788	411	4	,	,	PUNCT
ejpam-5788	411	5	σ̂ml	σ̂ml	NOUN
ejpam-5788	411	6	,	,	PUNCT
ejpam-5788	411	7	λ̂ml	λ̂ml	NOUN
ejpam-5788	411	8	)	)	PUNCT
ejpam-5788	411	9	.	.	PUNCT
ejpam-5788	412	1	step	step	NOUN
ejpam-5788	412	2	2	2	NUM
ejpam-5788	412	3	:	:	PUNCT
ejpam-5788	412	4	generate	generate	VERB
ejpam-5788	412	5	θ(l	θ(l	PROPN
ejpam-5788	412	6	)	)	PUNCT
ejpam-5788	412	7	,	,	PUNCT
ejpam-5788	412	8	σ(l	σ(l	NOUN
ejpam-5788	412	9	)	)	PUNCT
ejpam-5788	412	10	and	and	CCONJ
ejpam-5788	412	11	λ(l	λ(l	NOUN
ejpam-5788	412	12	)	)	PUNCT
ejpam-5788	412	13	such	such	ADJ
ejpam-5788	412	14	that	that	SCONJ
ejpam-5788	412	15	θ(l	θ(l	PROPN
ejpam-5788	412	16	)	)	PUNCT
ejpam-5788	412	17	∼	∼	NOUN
ejpam-5788	412	18	n(θ(l−1),var(θ̂ml	n(θ(l−1),var(θ̂ml	NOUN
ejpam-5788	412	19	)	)	PUNCT
ejpam-5788	412	20	)	)	PUNCT
ejpam-5788	412	21	,	,	PUNCT
ejpam-5788	412	22	σ(l	σ(l	NOUN
ejpam-5788	412	23	)	)	PUNCT
ejpam-5788	412	24	∼	∼	NOUN
ejpam-5788	412	25	n(σ(l−1),var(σ̂ml	n(σ(l−1),var(σ̂ml	NOUN
ejpam-5788	412	26	)	)	PUNCT
ejpam-5788	412	27	)	)	PUNCT
ejpam-5788	412	28	,	,	PUNCT
ejpam-5788	412	29	and	and	CCONJ
ejpam-5788	412	30	λ(l	λ(l	X
ejpam-5788	412	31	)	)	PUNCT
ejpam-5788	412	32	∼	∼	NOUN
ejpam-5788	412	33	n(λ(l−1),var(λ̂ml	n(λ(l−1),var(λ̂ml	NOUN
ejpam-5788	412	34	)	)	PUNCT
ejpam-5788	412	35	)	)	PUNCT
ejpam-5788	412	36	.	.	PUNCT
ejpam-5788	413	1	step	step	NOUN
ejpam-5788	413	2	3	3	NUM
ejpam-5788	413	3	:	:	PUNCT
ejpam-5788	413	4	obtain	obtain	VERB
ejpam-5788	413	5	;	;	PUNCT
ejpam-5788	413	6			NUM
ejpam-5788	413	7	pθ	pθ	NOUN
ejpam-5788	413	8	=	=	SYM
ejpam-5788	413	9	min	min	PROPN
ejpam-5788	413	10	(	(	PUNCT
ejpam-5788	413	11	π1(θ	π1(θ	PROPN
ejpam-5788	413	12	l|σl−1	l|σl−1	PROPN
ejpam-5788	413	13	,	,	PUNCT
ejpam-5788	413	14	λl−1	λl−1	PROPN
ejpam-5788	413	15	)	)	PUNCT
ejpam-5788	413	16	π1(θl−1|σl−1	π1(θl−1|σl−1	NOUN
ejpam-5788	413	17	,	,	PUNCT
ejpam-5788	413	18	λl−1	λl−1	PROPN
ejpam-5788	413	19	)	)	PUNCT
ejpam-5788	413	20	,	,	PUNCT
ejpam-5788	413	21	1	1	X
ejpam-5788	413	22	)	)	PUNCT
ejpam-5788	413	23	,	,	PUNCT
ejpam-5788	413	24	pσ	pσ	NOUN
ejpam-5788	413	25	=	=	SYM
ejpam-5788	413	26	min	min	PROPN
ejpam-5788	413	27	(	(	PUNCT
ejpam-5788	414	1	π2(σ	π2(σ	ADV
ejpam-5788	414	2	l|θl	l|θl	NOUN
ejpam-5788	414	3	,	,	PUNCT
ejpam-5788	414	4	λl−1	λl−1	PROPN
ejpam-5788	414	5	)	)	PUNCT
ejpam-5788	414	6	π2(σl−1|θl	π2(σl−1|θl	NOUN
ejpam-5788	414	7	,	,	PUNCT
ejpam-5788	414	8	λl−1	λl−1	PROPN
ejpam-5788	414	9	)	)	PUNCT
ejpam-5788	414	10	,	,	PUNCT
ejpam-5788	414	11	1	1	X
ejpam-5788	414	12	)	)	PUNCT
ejpam-5788	414	13	,	,	PUNCT
ejpam-5788	414	14	pλ	pλ	PROPN
ejpam-5788	414	15	=	=	SYM
ejpam-5788	414	16	min	min	PROPN
ejpam-5788	414	17	(	(	PUNCT
ejpam-5788	414	18	π3(λ	π3(λ	PROPN
ejpam-5788	414	19	l|θl	l|θl	NOUN
ejpam-5788	414	20	,	,	PUNCT
ejpam-5788	414	21	σl	σl	NOUN
ejpam-5788	414	22	)	)	PUNCT
ejpam-5788	414	23	π3(λl−1|θl	π3(λl−1|θl	NOUN
ejpam-5788	414	24	,	,	PUNCT
ejpam-5788	414	25	σl	σl	NOUN
ejpam-5788	414	26	)	)	PUNCT
ejpam-5788	414	27	,	,	PUNCT
ejpam-5788	414	28	1	1	NUM
ejpam-5788	414	29	)	)	PUNCT
ejpam-5788	414	30	.	.	PUNCT
ejpam-5788	415	1	step	step	NOUN
ejpam-5788	415	2	4	4	NUM
ejpam-5788	415	3	:	:	PUNCT
ejpam-5788	415	4	from	from	ADP
ejpam-5788	415	5	a	a	DET
ejpam-5788	415	6	uniform	uniform	ADJ
ejpam-5788	415	7	u(0	u(0	PROPN
ejpam-5788	415	8	,	,	PUNCT
ejpam-5788	415	9	1	1	X
ejpam-5788	415	10	)	)	PUNCT
ejpam-5788	415	11	distribution	distribution	NOUN
ejpam-5788	415	12	,	,	PUNCT
ejpam-5788	415	13	we	we	PRON
ejpam-5788	415	14	produce	produce	VERB
ejpam-5788	415	15	u1	u1	NOUN
ejpam-5788	415	16	,	,	PUNCT
ejpam-5788	415	17	u2	u2	NOUN
ejpam-5788	415	18	and	and	CCONJ
ejpam-5788	415	19	u3	u3	NOUN
ejpam-5788	415	20	.	.	PROPN
ejpam-5788	416	1	step	step	NOUN
ejpam-5788	416	2	5	5	NUM
ejpam-5788	416	3	:	:	PUNCT
ejpam-5788	416	4	if	if	SCONJ
ejpam-5788	416	5	u1	u1	PROPN
ejpam-5788	416	6	≤	≤	PROPN
ejpam-5788	416	7	pθ	pθ	VERB
ejpam-5788	416	8	,	,	PUNCT
ejpam-5788	416	9	set	set	VERB
ejpam-5788	416	10	θ	θ	PROPN
ejpam-5788	416	11	(	(	PUNCT
ejpam-5788	416	12	l	l	NOUN
ejpam-5788	416	13	)	)	PUNCT
ejpam-5788	417	1	=	=	SYM
ejpam-5788	417	2	θ(l	θ(l	PROPN
ejpam-5788	417	3	)	)	PUNCT
ejpam-5788	417	4	,	,	PUNCT
ejpam-5788	417	5	else	else	X
ejpam-5788	417	6	θ(l	θ(l	PROPN
ejpam-5788	417	7	)	)	PUNCT
ejpam-5788	417	8	=	=	SYM
ejpam-5788	417	9	θ(l−1	θ(l−1	NOUN
ejpam-5788	417	10	)	)	PUNCT
ejpam-5788	417	11	.	.	PUNCT
ejpam-5788	418	1	similarly	similarly	ADV
ejpam-5788	418	2	,	,	PUNCT
ejpam-5788	418	3	if	if	SCONJ
ejpam-5788	418	4	u2	u2	PROPN
ejpam-5788	418	5	≤	≤	PUNCT
ejpam-5788	418	6	pσ	pσ	NOUN
ejpam-5788	418	7	,	,	PUNCT
ejpam-5788	418	8	set	set	VERB
ejpam-5788	418	9	σ	σ	PROPN
ejpam-5788	418	10	(	(	PUNCT
ejpam-5788	418	11	l	l	NOUN
ejpam-5788	418	12	)	)	PUNCT
ejpam-5788	418	13	=	=	SYM
ejpam-5788	418	14	σ(l	σ(l	NOUN
ejpam-5788	418	15	)	)	PUNCT
ejpam-5788	418	16	,	,	PUNCT
ejpam-5788	418	17	else	else	ADV
ejpam-5788	418	18	σ(l	σ(l	PROPN
ejpam-5788	418	19	)	)	PUNCT
ejpam-5788	418	20	=	=	SYM
ejpam-5788	418	21	σ(l−1	σ(l−1	PROPN
ejpam-5788	418	22	)	)	PUNCT
ejpam-5788	418	23	and	and	CCONJ
ejpam-5788	418	24	if	if	SCONJ
ejpam-5788	418	25	u3	u3	ADJ
ejpam-5788	418	26	≤	≤	NOUN
ejpam-5788	418	27	pλ	pλ	PROPN
ejpam-5788	418	28	,	,	PUNCT
ejpam-5788	418	29	set	set	VERB
ejpam-5788	418	30	λ	λ	PROPN
ejpam-5788	418	31	(	(	PUNCT
ejpam-5788	418	32	l	l	NOUN
ejpam-5788	418	33	)	)	PUNCT
ejpam-5788	418	34	=	=	SYM
ejpam-5788	418	35	λ(l	λ(l	PROPN
ejpam-5788	418	36	)	)	PUNCT
ejpam-5788	418	37	,	,	PUNCT
ejpam-5788	418	38	else	else	ADV
ejpam-5788	418	39	λ(l	λ(l	PROPN
ejpam-5788	418	40	)	)	PUNCT
ejpam-5788	418	41	=	=	SYM
ejpam-5788	418	42	λ(l−1	λ(l−1	NOUN
ejpam-5788	418	43	)	)	PUNCT
ejpam-5788	418	44	.	.	PUNCT
ejpam-5788	419	1	step	step	NOUN
ejpam-5788	419	2	5	5	NUM
ejpam-5788	419	3	:	:	PUNCT
ejpam-5788	419	4	set	set	VERB
ejpam-5788	419	5	l	l	NOUN
ejpam-5788	419	6	=	=	PUNCT
ejpam-5788	420	1	l	l	NOUN
ejpam-5788	421	1	+	+	NOUN
ejpam-5788	421	2	1	1	X
ejpam-5788	421	3	.	.	PUNCT
ejpam-5788	421	4	then	then	ADV
ejpam-5788	421	5	repeat	repeat	VERB
ejpam-5788	421	6	steps	step	NOUN
ejpam-5788	421	7	2	2	NUM
ejpam-5788	421	8	−	−	NOUN
ejpam-5788	421	9	5	5	NUM
ejpam-5788	421	10	for	for	ADP
ejpam-5788	421	11	b	b	PROPN
ejpam-5788	421	12	times	time	NOUN
ejpam-5788	421	13	to	to	PART
ejpam-5788	421	14	generate	generate	VERB
ejpam-5788	421	15	(	(	PUNCT
ejpam-5788	421	16	θ(l	θ(l	PROPN
ejpam-5788	421	17	)	)	PUNCT
ejpam-5788	421	18	,	,	PUNCT
ejpam-5788	421	19	σ(l	σ(l	PROPN
ejpam-5788	421	20	)	)	PUNCT
ejpam-5788	421	21	,	,	PUNCT
ejpam-5788	421	22	λ(l	λ(l	PROPN
ejpam-5788	421	23	)	)	PUNCT
ejpam-5788	421	24	)	)	PUNCT
ejpam-5788	421	25	,	,	PUNCT
ejpam-5788	421	26	for	for	ADP
ejpam-5788	421	27	l	l	NOUN
ejpam-5788	421	28	=	=	SYM
ejpam-5788	421	29	1	1	NUM
ejpam-5788	421	30	,	,	PUNCT
ejpam-5788	421	31	.	.	PUNCT
ejpam-5788	421	32	.	.	PUNCT
ejpam-5788	422	1	.	.	PUNCT
ejpam-5788	423	1	,	,	PUNCT
ejpam-5788	423	2	b.	b.	PROPN
ejpam-5788	423	3	step	step	NOUN
ejpam-5788	423	4	6	6	NUM
ejpam-5788	423	5	:	:	PUNCT
ejpam-5788	423	6	after	after	ADP
ejpam-5788	423	7	discarding	discard	VERB
ejpam-5788	423	8	the	the	DET
ejpam-5788	423	9	first	first	ADJ
ejpam-5788	423	10	m	m	NOUN
ejpam-5788	423	11	number	number	NOUN
ejpam-5788	423	12	of	of	ADP
ejpam-5788	423	13	burn	burn	NOUN
ejpam-5788	423	14	-	-	PUNCT
ejpam-5788	423	15	in	in	ADP
ejpam-5788	423	16	samples	sample	NOUN
ejpam-5788	423	17	,	,	PUNCT
ejpam-5788	423	18	the	the	DET
ejpam-5788	423	19	remaining	remain	VERB
ejpam-5788	423	20	b−m	b−m	NOUN
ejpam-5788	423	21	samples	sample	NOUN
ejpam-5788	423	22	are	be	AUX
ejpam-5788	423	23	used	use	VERB
ejpam-5788	423	24	to	to	PART
ejpam-5788	423	25	obtain	obtain	VERB
ejpam-5788	423	26	the	the	DET
ejpam-5788	423	27	bayesian	bayesian	NOUN
ejpam-5788	423	28	estimates	estimate	NOUN
ejpam-5788	423	29	of	of	ADP
ejpam-5788	423	30	θ	θ	PROPN
ejpam-5788	423	31	,	,	PUNCT
ejpam-5788	423	32	σ	σ	PROPN
ejpam-5788	423	33	,	,	PUNCT
ejpam-5788	423	34	and	and	CCONJ
ejpam-5788	423	35	λ	λ	NOUN
ejpam-5788	423	36	,	,	PUNCT
ejpam-5788	423	37	where	where	SCONJ
ejpam-5788	423	38	the	the	DET
ejpam-5788	423	39	bayes	bayes	PROPN
ejpam-5788	423	40	estimate	estimate	NOUN
ejpam-5788	423	41	of	of	ADP
ejpam-5788	423	42	φ	φ	PROPN
ejpam-5788	423	43	=	=	SYM
ejpam-5788	423	44	φ(θ	φ(θ	PROPN
ejpam-5788	423	45	,	,	PUNCT
ejpam-5788	423	46	σ	σ	PROPN
ejpam-5788	423	47	,	,	PUNCT
ejpam-5788	423	48	λ	λ	PROPN
ejpam-5788	423	49	)	)	PUNCT
ejpam-5788	423	50	under	under	ADP
ejpam-5788	423	51	the	the	DET
ejpam-5788	423	52	se	se	PROPN
ejpam-5788	423	53	and	and	CCONJ
ejpam-5788	423	54	linex	linex	ADV
ejpam-5788	423	55	loss	loss	NOUN
ejpam-5788	423	56	functions	function	NOUN
ejpam-5788	423	57	can	can	AUX
ejpam-5788	423	58	now	now	ADV
ejpam-5788	423	59	be	be	AUX
ejpam-5788	423	60	computed	compute	VERB
ejpam-5788	423	61	as	as	ADP
ejpam-5788	423	62	;	;	PUNCT
ejpam-5788	424	1	φ̂se	φ̂se	NOUN
ejpam-5788	424	2	=	=	SYM
ejpam-5788	424	3	1	1	NUM
ejpam-5788	424	4	b	b	X
ejpam-5788	424	5	−m	−m	NOUN
ejpam-5788	424	6	b∑	b∑	PROPN
ejpam-5788	425	1	i	i	PROPN
ejpam-5788	425	2	=	=	NOUN
ejpam-5788	425	3	m+1	m+1	NUM
ejpam-5788	425	4	φ(θ(i	φ(θ(i	PROPN
ejpam-5788	425	5	)	)	PUNCT
ejpam-5788	425	6	,	,	PUNCT
ejpam-5788	425	7	σ(i	σ(i	PROPN
ejpam-5788	425	8	)	)	PUNCT
ejpam-5788	425	9	,	,	PUNCT
ejpam-5788	425	10	λ(i	λ(i	PROPN
ejpam-5788	425	11	)	)	PUNCT
ejpam-5788	425	12	)	)	PUNCT
ejpam-5788	425	13	,	,	PUNCT
ejpam-5788	425	14	φ̂ll	φ̂ll	PROPN
ejpam-5788	425	15	=	=	SYM
ejpam-5788	425	16	−	−	PROPN
ejpam-5788	425	17	1	1	NUM
ejpam-5788	425	18	h∗	h∗	NOUN
ejpam-5788	425	19	log	log	NOUN
ejpam-5788	425	20	[	[	PUNCT
ejpam-5788	425	21	1	1	NUM
ejpam-5788	425	22	b	b	PROPN
ejpam-5788	425	23	−m	−m	NOUN
ejpam-5788	425	24	b∑	b∑	PROPN
ejpam-5788	426	1	i	i	PROPN
ejpam-5788	426	2	=	=	NOUN
ejpam-5788	426	3	m+1	m+1	X
ejpam-5788	426	4	e−h∗φ(θ(i),σ(i),λ(i	e−h∗φ(θ(i),σ(i),λ(i	NOUN
ejpam-5788	426	5	)	)	PUNCT
ejpam-5788	426	6	)	)	PUNCT
ejpam-5788	426	7	]	]	PUNCT
ejpam-5788	426	8	.	.	PUNCT
ejpam-5788	427	1	2.3	2.3	NUM
ejpam-5788	427	2	.	.	PUNCT
ejpam-5788	427	3	interval	interval	NOUN
ejpam-5788	427	4	estimation	estimation	NOUN
ejpam-5788	427	5	in	in	ADP
ejpam-5788	427	6	this	this	DET
ejpam-5788	427	7	section	section	NOUN
ejpam-5788	427	8	,	,	PUNCT
ejpam-5788	427	9	the	the	DET
ejpam-5788	427	10	asymptotic	asymptotic	ADJ
ejpam-5788	427	11	confidence	confidence	NOUN
ejpam-5788	427	12	interval	interval	NOUN
ejpam-5788	427	13	(	(	PUNCT
ejpam-5788	427	14	ci	ci	NOUN
ejpam-5788	427	15	)	)	PUNCT
ejpam-5788	427	16	,	,	PUNCT
ejpam-5788	427	17	normal	normal	ADJ
ejpam-5788	427	18	bootstrap	bootstrap	NOUN
ejpam-5788	427	19	confidence	confidence	NOUN
ejpam-5788	427	20	interval	interval	NOUN
ejpam-5788	427	21	(	(	PUNCT
ejpam-5788	427	22	n	n	CCONJ
ejpam-5788	427	23	-	-	PUNCT
ejpam-5788	427	24	boot	boot	NOUN
ejpam-5788	427	25	)	)	PUNCT
ejpam-5788	427	26	and	and	CCONJ
ejpam-5788	427	27	bayesian	bayesian	NOUN
ejpam-5788	427	28	ci	ci	NOUN
ejpam-5788	427	29	(	(	PUNCT
ejpam-5788	427	30	credibility	credibility	NOUN
ejpam-5788	427	31	interval	interval	NOUN
ejpam-5788	427	32	)	)	PUNCT
ejpam-5788	427	33	have	have	AUX
ejpam-5788	427	34	been	be	AUX
ejpam-5788	427	35	studied	study	VERB
ejpam-5788	427	36	for	for	ADP
ejpam-5788	427	37	parameters	parameter	NOUN
ejpam-5788	427	38	θ	θ	PROPN
ejpam-5788	427	39	,	,	PUNCT
ejpam-5788	427	40	σ	σ	PROPN
ejpam-5788	427	41	and	and	CCONJ
ejpam-5788	427	42	λ	λ	PROPN
ejpam-5788	427	43	.	.	PROPN
ejpam-5788	428	1	2.3.1	2.3.1	NUM
ejpam-5788	428	2	.	.	PUNCT
ejpam-5788	429	1	asymptotic	asymptotic	ADJ
ejpam-5788	429	2	confidence	confidence	NOUN
ejpam-5788	429	3	interval	interval	NOUN
ejpam-5788	429	4	rather	rather	ADV
ejpam-5788	429	5	of	of	ADP
ejpam-5788	429	6	acquiring	acquire	VERB
ejpam-5788	429	7	specific	specific	ADJ
ejpam-5788	429	8	estimates	estimate	NOUN
ejpam-5788	429	9	for	for	ADP
ejpam-5788	429	10	unknown	unknown	ADJ
ejpam-5788	429	11	parameters	parameter	NOUN
ejpam-5788	429	12	,	,	PUNCT
ejpam-5788	429	13	there	there	PRON
ejpam-5788	429	14	may	may	AUX
ejpam-5788	429	15	be	be	AUX
ejpam-5788	429	16	a	a	DET
ejpam-5788	429	17	desire	desire	NOUN
ejpam-5788	429	18	to	to	PART
ejpam-5788	429	19	obtain	obtain	VERB
ejpam-5788	429	20	a	a	DET
ejpam-5788	429	21	range	range	NOUN
ejpam-5788	429	22	of	of	ADP
ejpam-5788	429	23	values	value	NOUN
ejpam-5788	429	24	that	that	PRON
ejpam-5788	429	25	could	could	AUX
ejpam-5788	429	26	potentially	potentially	ADV
ejpam-5788	429	27	encompass	encompass	VERB
ejpam-5788	429	28	these	these	DET
ejpam-5788	429	29	parameters	parameter	NOUN
ejpam-5788	429	30	with	with	ADP
ejpam-5788	429	31	a	a	DET
ejpam-5788	429	32	desiga	desiga	NOUN
ejpam-5788	429	33	.	.	PUNCT
ejpam-5788	430	1	a.	a.	PROPN
ejpam-5788	430	2	soliman	soliman	PROPN
ejpam-5788	430	3	et	et	PROPN
ejpam-5788	430	4	al	al	PROPN
ejpam-5788	430	5	.	.	PUNCT
ejpam-5788	430	6	/	/	SYM
ejpam-5788	430	7	eur	eur	PROPN
ejpam-5788	430	8	.	.	PUNCT
ejpam-5788	431	1	j.	j.	PROPN
ejpam-5788	431	2	pure	pure	PROPN
ejpam-5788	431	3	appl	appl	PROPN
ejpam-5788	431	4	.	.	PROPN
ejpam-5788	431	5	math	math	PROPN
ejpam-5788	431	6	,	,	PUNCT
ejpam-5788	431	7	18	18	NUM
ejpam-5788	431	8	(	(	PUNCT
ejpam-5788	431	9	2	2	NUM
ejpam-5788	431	10	)	)	PUNCT
ejpam-5788	431	11	(	(	PUNCT
ejpam-5788	431	12	2025	2025	NUM
ejpam-5788	431	13	)	)	PUNCT
ejpam-5788	431	14	,	,	PUNCT
ejpam-5788	431	15	5788	5788	NUM
ejpam-5788	431	16	16	16	NUM
ejpam-5788	431	17	of	of	ADP
ejpam-5788	431	18	34	34	NUM
ejpam-5788	431	19	nated	nate	VERB
ejpam-5788	431	20	level	level	NOUN
ejpam-5788	431	21	of	of	ADP
ejpam-5788	431	22	probability	probability	NOUN
ejpam-5788	431	23	.	.	PUNCT
ejpam-5788	432	1	the	the	DET
ejpam-5788	432	2	aforementioned	aforementioned	ADJ
ejpam-5788	432	3	ranges	range	NOUN
ejpam-5788	432	4	are	be	AUX
ejpam-5788	432	5	sometimes	sometimes	ADV
ejpam-5788	432	6	referred	refer	VERB
ejpam-5788	432	7	to	to	ADP
ejpam-5788	432	8	as	as	ADP
ejpam-5788	432	9	interval	interval	NOUN
ejpam-5788	432	10	estimations	estimation	NOUN
ejpam-5788	432	11	.	.	PUNCT
ejpam-5788	433	1	in	in	ADP
ejpam-5788	433	2	this	this	DET
ejpam-5788	433	3	context	context	NOUN
ejpam-5788	433	4	,	,	PUNCT
ejpam-5788	433	5	we	we	PRON
ejpam-5788	433	6	employ	employ	VERB
ejpam-5788	433	7	the	the	DET
ejpam-5788	433	8	asymptotic	asymptotic	ADJ
ejpam-5788	433	9	properties	property	NOUN
ejpam-5788	433	10	of	of	ADP
ejpam-5788	433	11	the	the	DET
ejpam-5788	433	12	maximum	maximum	ADJ
ejpam-5788	433	13	likelihood	likelihood	NOUN
ejpam-5788	433	14	estimators	estimator	NOUN
ejpam-5788	433	15	(	(	PUNCT
ejpam-5788	433	16	mles	mle	NOUN
ejpam-5788	433	17	)	)	PUNCT
ejpam-5788	433	18	to	to	PART
ejpam-5788	433	19	construct	construct	VERB
ejpam-5788	433	20	the	the	DET
ejpam-5788	433	21	asymptotic	asymptotic	ADJ
ejpam-5788	433	22	confidence	confidence	NOUN
ejpam-5788	433	23	intervals	interval	NOUN
ejpam-5788	433	24	(	(	PUNCT
ejpam-5788	433	25	acis	acis	PROPN
ejpam-5788	433	26	)	)	PUNCT
ejpam-5788	433	27	for	for	ADP
ejpam-5788	433	28	the	the	DET
ejpam-5788	433	29	unknown	unknown	ADJ
ejpam-5788	433	30	parameters	parameter	NOUN
ejpam-5788	433	31	φ	φ	X
ejpam-5788	433	32	=	=	SYM
ejpam-5788	433	33	(	(	PUNCT
ejpam-5788	433	34	θ	θ	PROPN
ejpam-5788	433	35	,	,	PUNCT
ejpam-5788	433	36	σ	σ	NOUN
ejpam-5788	433	37	,	,	PUNCT
ejpam-5788	433	38	λ)t	λ)t	PUNCT
ejpam-5788	433	39	.	.	PUNCT
ejpam-5788	434	1	using	use	VERB
ejpam-5788	434	2	the	the	DET
ejpam-5788	434	3	large	large	ADJ
ejpam-5788	434	4	sample	sample	NOUN
ejpam-5788	434	5	theory	theory	NOUN
ejpam-5788	434	6	reveals	reveal	VERB
ejpam-5788	434	7	that	that	SCONJ
ejpam-5788	434	8	the	the	DET
ejpam-5788	434	9	mles	mle	NOUN
ejpam-5788	434	10	,	,	PUNCT
ejpam-5788	434	11	φ̂ml	φ̂ml	NOUN
ejpam-5788	434	12	=	=	SYM
ejpam-5788	434	13	(	(	PUNCT
ejpam-5788	434	14	θ̂ml	θ̂ml	NOUN
ejpam-5788	434	15	,	,	PUNCT
ejpam-5788	434	16	σ̂ml	σ̂ml	NOUN
ejpam-5788	434	17	,	,	PUNCT
ejpam-5788	434	18	λ̂ml	λ̂ml	NOUN
ejpam-5788	434	19	)	)	PUNCT
ejpam-5788	434	20	follow	follow	VERB
ejpam-5788	434	21	an	an	DET
ejpam-5788	434	22	asymptotic	asymptotic	ADJ
ejpam-5788	434	23	distribution	distribution	NOUN
ejpam-5788	434	24	that	that	PRON
ejpam-5788	434	25	may	may	AUX
ejpam-5788	434	26	be	be	AUX
ejpam-5788	434	27	approximated	approximate	VERB
ejpam-5788	434	28	by	by	ADP
ejpam-5788	434	29	a	a	DET
ejpam-5788	434	30	normal	normal	ADJ
ejpam-5788	434	31	distribution	distribution	NOUN
ejpam-5788	434	32	.	.	PUNCT
ejpam-5788	435	1	this	this	DET
ejpam-5788	435	2	normal	normal	ADJ
ejpam-5788	435	3	distribution	distribution	NOUN
ejpam-5788	435	4	has	have	VERB
ejpam-5788	435	5	a	a	DET
ejpam-5788	435	6	mean	mean	NOUN
ejpam-5788	435	7	of	of	ADP
ejpam-5788	435	8	φ	φ	PROPN
ejpam-5788	435	9	and	and	CCONJ
ejpam-5788	435	10	a	a	DET
ejpam-5788	435	11	variancecovariance	variancecovariance	NOUN
ejpam-5788	435	12	matrix	matrix	NOUN
ejpam-5788	435	13	of	of	ADP
ejpam-5788	435	14	i−1(φ	i−1(φ	PROPN
ejpam-5788	435	15	)	)	PUNCT
ejpam-5788	435	16	.	.	PUNCT
ejpam-5788	436	1	in	in	ADP
ejpam-5788	436	2	this	this	DET
ejpam-5788	436	3	study	study	NOUN
ejpam-5788	436	4	,	,	PUNCT
ejpam-5788	436	5	we	we	PRON
ejpam-5788	436	6	employ	employ	VERB
ejpam-5788	436	7	the	the	DET
ejpam-5788	436	8	asymptotic	asymptotic	ADJ
ejpam-5788	436	9	variance	variance	NOUN
ejpam-5788	436	10	-	-	PUNCT
ejpam-5788	436	11	covariance	covariance	NOUN
ejpam-5788	436	12	matrix	matrix	NOUN
ejpam-5788	436	13	(	(	PUNCT
ejpam-5788	436	14	avcm	avcm	PROPN
ejpam-5788	436	15	)	)	PUNCT
ejpam-5788	436	16	denoted	denote	VERB
ejpam-5788	436	17	as	as	ADP
ejpam-5788	436	18	i−1(φ̂	i−1(φ̂	NOUN
ejpam-5788	436	19	)	)	PUNCT
ejpam-5788	436	20	to	to	PART
ejpam-5788	436	21	estimate	estimate	VERB
ejpam-5788	436	22	i−1(φ	i−1(φ	NOUN
ejpam-5788	436	23	)	)	PUNCT
ejpam-5788	436	24	.	.	PUNCT
ejpam-5788	437	1	the	the	DET
ejpam-5788	437	2	estimation	estimation	NOUN
ejpam-5788	437	3	is	be	AUX
ejpam-5788	437	4	achieved	achieve	VERB
ejpam-5788	437	5	by	by	ADP
ejpam-5788	437	6	inverting	invert	VERB
ejpam-5788	437	7	the	the	DET
ejpam-5788	437	8	observed	observed	ADJ
ejpam-5788	437	9	fisher	fisher	PROPN
ejpam-5788	437	10	information	information	NOUN
ejpam-5788	437	11	matrix	matrix	NOUN
ejpam-5788	437	12	.	.	PUNCT
ejpam-5788	438	1	in	in	ADP
ejpam-5788	438	2	this	this	DET
ejpam-5788	438	3	particular	particular	ADJ
ejpam-5788	438	4	instance	instance	NOUN
ejpam-5788	438	5	,	,	PUNCT
ejpam-5788	438	6	the	the	DET
ejpam-5788	438	7	avcm	avcm	PROPN
ejpam-5788	438	8	assumes	assume	VERB
ejpam-5788	438	9	the	the	DET
ejpam-5788	438	10	structure	structure	NOUN
ejpam-5788	438	11	.	.	PUNCT
ejpam-5788	439	1	i−1(φ̂	i−1(φ̂	X
ejpam-5788	439	2	)	)	PUNCT
ejpam-5788	439	3	=	=	SYM
ejpam-5788	439	4	−	−	PROPN
ejpam-5788	439	5			X
ejpam-5788	439	6	∂2ℓ(φ	∂2ℓ(φ	PROPN
ejpam-5788	439	7	)	)	PUNCT
ejpam-5788	439	8	∂θ2	∂θ2	DET
ejpam-5788	439	9	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	439	10	)	)	PUNCT
ejpam-5788	439	11	∂θ∂σ	∂θ∂σ	ADJ
ejpam-5788	439	12	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	439	13	)	)	PUNCT
ejpam-5788	440	1	∂θ∂λ	∂θ∂λ	PROPN
ejpam-5788	440	2	∂2ℓ(φ	∂2ℓ(φ	PROPN
ejpam-5788	440	3	)	)	PUNCT
ejpam-5788	440	4	∂σ2	∂σ2	NUM
ejpam-5788	440	5	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	440	6	)	)	PUNCT
ejpam-5788	440	7	∂σ∂λ	∂σ∂λ	NOUN
ejpam-5788	440	8	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	440	9	)	)	PUNCT
ejpam-5788	440	10	∂λ2	∂λ2	PROPN
ejpam-5788	440	11			PROPN
ejpam-5788	440	12	(	(	PUNCT
ejpam-5788	440	13	φ̂	φ̂	NUM
ejpam-5788	440	14	)	)	PUNCT
ejpam-5788	440	15	=	=	PUNCT
ejpam-5788	440	16	ϖ̂2	ϖ̂2	ADJ
ejpam-5788	440	17	11	11	NUM
ejpam-5788	440	18	ϖ̂12	ϖ̂12	PROPN
ejpam-5788	440	19	ϖ̂13	ϖ̂13	PROPN
ejpam-5788	440	20	ϖ̂2	ϖ̂2	VERB
ejpam-5788	440	21	22	22	NUM
ejpam-5788	440	22	ϖ̂23	ϖ̂23	NOUN
ejpam-5788	440	23	ϖ̂2	ϖ̂2	PUNCT
ejpam-5788	440	24	33	33	NUM
ejpam-5788	440	25			PROPN
ejpam-5788	440	26	,	,	PUNCT
ejpam-5788	440	27	(	(	PUNCT
ejpam-5788	440	28	29	29	NUM
ejpam-5788	440	29	)	)	PUNCT
ejpam-5788	440	30	the	the	DET
ejpam-5788	440	31	notation	notation	NOUN
ejpam-5788	440	32	φ̂	φ̂	PUNCT
ejpam-5788	440	33	indicates	indicate	VERB
ejpam-5788	440	34	that	that	SCONJ
ejpam-5788	440	35	the	the	DET
ejpam-5788	440	36	derivatives	derivative	NOUN
ejpam-5788	440	37	are	be	AUX
ejpam-5788	440	38	being	be	AUX
ejpam-5788	440	39	evaluated	evaluate	VERB
ejpam-5788	440	40	at	at	ADP
ejpam-5788	440	41	the	the	DET
ejpam-5788	440	42	estimated	estimate	VERB
ejpam-5788	440	43	values	value	NOUN
ejpam-5788	440	44	of	of	ADP
ejpam-5788	440	45	θ	θ	PROPN
ejpam-5788	440	46	,	,	PUNCT
ejpam-5788	440	47	σ	σ	PROPN
ejpam-5788	440	48	,	,	PUNCT
ejpam-5788	440	49	and	and	CCONJ
ejpam-5788	440	50	λ	λ	NOUN
ejpam-5788	440	51	.	.	PUNCT
ejpam-5788	441	1	after	after	ADP
ejpam-5788	441	2	a	a	DET
ejpam-5788	441	3	little	little	ADJ
ejpam-5788	441	4	calculation	calculation	NOUN
ejpam-5788	441	5	,	,	PUNCT
ejpam-5788	441	6	one	one	NUM
ejpam-5788	441	7	has	have	VERB
ejpam-5788	441	8	;	;	PUNCT
ejpam-5788	441	9	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	441	10	)	)	PUNCT
ejpam-5788	442	1	∂θ2	∂θ2	NOUN
ejpam-5788	442	2	=	=	PUNCT
ejpam-5788	442	3	−d1	−d1	PROPN
ejpam-5788	442	4	+	+	PROPN
ejpam-5788	442	5	d2	d2	PROPN
ejpam-5788	442	6	θ2	θ2	PROPN
ejpam-5788	442	7	+	+	CCONJ
ejpam-5788	442	8	(	(	PUNCT
ejpam-5788	442	9	d1	d1	PROPN
ejpam-5788	442	10	−	−	PROPN
ejpam-5788	442	11	n1	n1	NOUN
ejpam-5788	442	12	)	)	PUNCT
ejpam-5788	442	13	(	(	PUNCT
ejpam-5788	442	14	c1	c1	PROPN
ejpam-5788	442	15	σ	σ	PROPN
ejpam-5788	442	16	)	)	PUNCT
ejpam-5788	442	17	θ	θ	PROPN
ejpam-5788	442	18	(	(	PUNCT
ejpam-5788	442	19	log(c1	log(c1	PROPN
ejpam-5788	442	20	σ	σ	PROPN
ejpam-5788	442	21	)	)	PUNCT
ejpam-5788	442	22	)	)	PUNCT
ejpam-5788	442	23	2(1	2(1	NUM
ejpam-5788	443	1	+	+	CCONJ
ejpam-5788	443	2	(	(	PUNCT
ejpam-5788	443	3	c1	c1	PROPN
ejpam-5788	443	4	σ	σ	PROPN
ejpam-5788	443	5	)	)	PUNCT
ejpam-5788	444	1	θ)−	θ)−	PROPN
ejpam-5788	444	2	(	(	PUNCT
ejpam-5788	444	3	(	(	PUNCT
ejpam-5788	444	4	c1	c1	PROPN
ejpam-5788	444	5	σ	σ	PROPN
ejpam-5788	444	6	)	)	PUNCT
ejpam-5788	444	7	θ	θ	PROPN
ejpam-5788	444	8	log(c1	log(c1	PROPN
ejpam-5788	444	9	σ	σ	PROPN
ejpam-5788	444	10	)	)	PUNCT
ejpam-5788	444	11	)	)	PUNCT
ejpam-5788	444	12	2	2	NUM
ejpam-5788	444	13	(	(	PUNCT
ejpam-5788	444	14	1	1	NUM
ejpam-5788	444	15	+	+	CCONJ
ejpam-5788	444	16	(	(	PUNCT
ejpam-5788	444	17	c1	c1	PROPN
ejpam-5788	444	18	σ	σ	PROPN
ejpam-5788	444	19	)	)	PUNCT
ejpam-5788	444	20	θ)2	θ)2	NOUN
ejpam-5788	444	21	+	+	CCONJ
ejpam-5788	444	22	λ(d2	λ(d2	X
ejpam-5788	444	23	−	−	PROPN
ejpam-5788	444	24	n2	n2	NOUN
ejpam-5788	444	25	)	)	PUNCT
ejpam-5788	444	26	(	(	PUNCT
ejpam-5788	444	27	c2	c2	PROPN
ejpam-5788	444	28	σ	σ	PROPN
ejpam-5788	444	29	)	)	PUNCT
ejpam-5788	444	30	θ	θ	PROPN
ejpam-5788	444	31	(	(	PUNCT
ejpam-5788	444	32	log(c2	log(c2	PROPN
ejpam-5788	444	33	σ	σ	PROPN
ejpam-5788	444	34	)	)	PUNCT
ejpam-5788	444	35	)	)	PUNCT
ejpam-5788	444	36	2(1	2(1	NUM
ejpam-5788	445	1	+	+	CCONJ
ejpam-5788	445	2	(	(	PUNCT
ejpam-5788	445	3	c2	c2	PROPN
ejpam-5788	445	4	σ	σ	PROPN
ejpam-5788	445	5	)	)	PUNCT
ejpam-5788	446	1	θ)−	θ)−	PROPN
ejpam-5788	446	2	(	(	PUNCT
ejpam-5788	446	3	(	(	PUNCT
ejpam-5788	446	4	c2	c2	PROPN
ejpam-5788	446	5	σ	σ	PROPN
ejpam-5788	446	6	)	)	PUNCT
ejpam-5788	446	7	θ	θ	PROPN
ejpam-5788	446	8	log(c2	log(c2	PROPN
ejpam-5788	446	9	σ	σ	PROPN
ejpam-5788	446	10	)	)	PUNCT
ejpam-5788	446	11	)	)	PUNCT
ejpam-5788	446	12	2	2	NUM
ejpam-5788	446	13	(	(	PUNCT
ejpam-5788	446	14	1	1	NUM
ejpam-5788	446	15	+	+	CCONJ
ejpam-5788	446	16	(	(	PUNCT
ejpam-5788	446	17	c2	c2	PROPN
ejpam-5788	446	18	σ	σ	PROPN
ejpam-5788	446	19	)	)	PUNCT
ejpam-5788	446	20	θ)2	θ)2	NOUN
ejpam-5788	446	21	−	−	PROPN
ejpam-5788	446	22	2∑	2∑	NUM
ejpam-5788	447	1	j=1	j=1	NOUN
ejpam-5788	447	2	(	(	PUNCT
ejpam-5788	447	3	sj(λ	sj(λ	NOUN
ejpam-5788	447	4	)	)	PUNCT
ejpam-5788	447	5	+	+	CCONJ
ejpam-5788	447	6	1	1	X
ejpam-5788	447	7	)	)	PUNCT
ejpam-5788	447	8	dj∑	dj∑	PROPN
ejpam-5788	447	9	i=1	i=1	PROPN
ejpam-5788	448	1	(	(	PUNCT
ejpam-5788	448	2	σ	σ	PROPN
ejpam-5788	448	3	xji	xji	PROPN
ejpam-5788	448	4	)	)	PUNCT
ejpam-5788	448	5	θ	θ	PROPN
ejpam-5788	448	6	(	(	PUNCT
ejpam-5788	448	7	log	log	PROPN
ejpam-5788	448	8	(	(	PUNCT
ejpam-5788	448	9	σ	σ	PROPN
ejpam-5788	448	10	xji	xji	PROPN
ejpam-5788	448	11	)	)	PUNCT
ejpam-5788	448	12	)	)	PUNCT
ejpam-5788	448	13	2(1	2(1	NUM
ejpam-5788	449	1	+	+	CCONJ
ejpam-5788	449	2	(	(	PUNCT
ejpam-5788	449	3	σ	σ	PROPN
ejpam-5788	449	4	xji	xji	PROPN
ejpam-5788	449	5	)	)	PUNCT
ejpam-5788	450	1	θ)−	θ)−	PROPN
ejpam-5788	450	2	(	(	PUNCT
ejpam-5788	450	3	(	(	PUNCT
ejpam-5788	450	4	σ	σ	X
ejpam-5788	450	5	xji	xji	PROPN
ejpam-5788	450	6	)	)	PUNCT
ejpam-5788	450	7	θ	θ	PROPN
ejpam-5788	450	8	log	log	NOUN
ejpam-5788	450	9	(	(	PUNCT
ejpam-5788	450	10	σ	σ	PROPN
ejpam-5788	450	11	xji	xji	PROPN
ejpam-5788	450	12	)	)	PUNCT
ejpam-5788	450	13	)	)	PUNCT
ejpam-5788	450	14	2	2	NUM
ejpam-5788	450	15	(	(	PUNCT
ejpam-5788	450	16	1	1	NUM
ejpam-5788	450	17	+	+	CCONJ
ejpam-5788	450	18	(	(	PUNCT
ejpam-5788	450	19	σ	σ	PROPN
ejpam-5788	450	20	xji	xji	PROPN
ejpam-5788	450	21	)	)	PUNCT
ejpam-5788	450	22	θ)2	θ)2	NOUN
ejpam-5788	450	23	.	.	PUNCT
ejpam-5788	451	1	(	(	PUNCT
ejpam-5788	451	2	30	30	NUM
ejpam-5788	451	3	)	)	PUNCT
ejpam-5788	451	4	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	451	5	)	)	PUNCT
ejpam-5788	452	1	∂σ2	∂σ2	NUM
ejpam-5788	452	2	=	=	SYM
ejpam-5788	452	3	(	(	PUNCT
ejpam-5788	452	4	d1	d1	PROPN
ejpam-5788	452	5	−	−	PROPN
ejpam-5788	452	6	n1	n1	NOUN
ejpam-5788	452	7	)	)	PUNCT
ejpam-5788	452	8	θ	θ	PROPN
ejpam-5788	452	9	σ2	σ2	PROPN
ejpam-5788	452	10	(	(	PUNCT
ejpam-5788	452	11	c1	c1	PROPN
ejpam-5788	452	12	σ	σ	PROPN
ejpam-5788	452	13	)	)	PUNCT
ejpam-5788	452	14	θ(θ(c1	θ(θ(c1	PROPN
ejpam-5788	452	15	σ	σ	NOUN
ejpam-5788	452	16	)	)	PUNCT
ejpam-5788	452	17	θ	θ	PROPN
ejpam-5788	452	18	+	+	PUNCT
ejpam-5788	452	19	(	(	PUNCT
ejpam-5788	452	20	c1	c1	PROPN
ejpam-5788	452	21	σ	σ	PROPN
ejpam-5788	452	22	)	)	PUNCT
ejpam-5788	452	23	θ	θ	PROPN
ejpam-5788	453	1	+	+	NOUN
ejpam-5788	453	2	1	1	X
ejpam-5788	453	3	)	)	PUNCT
ejpam-5788	453	4	(	(	PUNCT
ejpam-5788	453	5	1	1	NUM
ejpam-5788	453	6	+	+	CCONJ
ejpam-5788	453	7	(	(	PUNCT
ejpam-5788	453	8	c1	c1	PROPN
ejpam-5788	453	9	σ	σ	PROPN
ejpam-5788	453	10	)	)	PUNCT
ejpam-5788	453	11	θ)2	θ)2	NOUN
ejpam-5788	453	12	+	+	CCONJ
ejpam-5788	453	13	λ(d2	λ(d2	X
ejpam-5788	453	14	−	−	PROPN
ejpam-5788	453	15	n2	n2	ADJ
ejpam-5788	453	16	)	)	PUNCT
ejpam-5788	453	17	θ	θ	PROPN
ejpam-5788	453	18	σ2	σ2	PROPN
ejpam-5788	453	19	(	(	PUNCT
ejpam-5788	453	20	c2	c2	PROPN
ejpam-5788	453	21	σ	σ	PROPN
ejpam-5788	453	22	)	)	PUNCT
ejpam-5788	453	23	θ(θ(c2	θ(θ(c2	PROPN
ejpam-5788	453	24	σ	σ	NUM
ejpam-5788	453	25	)	)	PUNCT
ejpam-5788	453	26	θ	θ	PROPN
ejpam-5788	453	27	+	+	PUNCT
ejpam-5788	453	28	(	(	PUNCT
ejpam-5788	453	29	c2	c2	PROPN
ejpam-5788	453	30	σ	σ	PROPN
ejpam-5788	453	31	)	)	PUNCT
ejpam-5788	453	32	θ	θ	PROPN
ejpam-5788	454	1	+	+	NOUN
ejpam-5788	454	2	1	1	X
ejpam-5788	454	3	)	)	PUNCT
ejpam-5788	454	4	(	(	PUNCT
ejpam-5788	454	5	1	1	NUM
ejpam-5788	454	6	+	+	CCONJ
ejpam-5788	454	7	(	(	PUNCT
ejpam-5788	454	8	c2	c2	PROPN
ejpam-5788	454	9	σ	σ	PROPN
ejpam-5788	454	10	)	)	PUNCT
ejpam-5788	454	11	θ)2	θ)2	NOUN
ejpam-5788	454	12	−	−	PROPN
ejpam-5788	454	13	θ(d1	θ(d1	PUNCT
ejpam-5788	454	14	+	+	PROPN
ejpam-5788	454	15	λd2	λd2	X
ejpam-5788	454	16	)	)	PUNCT
ejpam-5788	454	17	σ2	σ2	NOUN
ejpam-5788	454	18	−	−	PROPN
ejpam-5788	454	19	2∑	2∑	NUM
ejpam-5788	455	1	j=1	j=1	NOUN
ejpam-5788	455	2	(	(	PUNCT
ejpam-5788	455	3	sj(λ	sj(λ	NOUN
ejpam-5788	455	4	)	)	PUNCT
ejpam-5788	455	5	+	+	CCONJ
ejpam-5788	455	6	1	1	X
ejpam-5788	455	7	)	)	PUNCT
ejpam-5788	455	8	dj∑	dj∑	PROPN
ejpam-5788	455	9	i=1	i=1	PROPN
ejpam-5788	456	1	θ	θ	PROPN
ejpam-5788	457	1	x2	x2	INTJ
ejpam-5788	458	1	ji	ji	PROPN
ejpam-5788	459	1	(	(	PUNCT
ejpam-5788	459	2	σ	σ	PROPN
ejpam-5788	459	3	xji	xji	PROPN
ejpam-5788	459	4	)	)	PUNCT
ejpam-5788	460	1	(	(	PUNCT
ejpam-5788	460	2	θ−2)(θ	θ−2)(θ	PROPN
ejpam-5788	460	3	−	−	PROPN
ejpam-5788	460	4	(	(	PUNCT
ejpam-5788	460	5	σ	σ	PROPN
ejpam-5788	460	6	xji	xji	PROPN
ejpam-5788	460	7	)	)	PUNCT
ejpam-5788	461	1	θ	θ	NOUN
ejpam-5788	461	2	−	−	NOUN
ejpam-5788	461	3	1	1	NUM
ejpam-5788	461	4	)	)	PUNCT
ejpam-5788	461	5	(	(	PUNCT
ejpam-5788	461	6	1	1	NUM
ejpam-5788	461	7	+	+	CCONJ
ejpam-5788	461	8	(	(	PUNCT
ejpam-5788	461	9	σ	σ	PROPN
ejpam-5788	461	10	xji	xji	PROPN
ejpam-5788	461	11	)	)	PUNCT
ejpam-5788	461	12	θ)2	θ)2	NOUN
ejpam-5788	461	13	,	,	PUNCT
ejpam-5788	461	14	(	(	PUNCT
ejpam-5788	461	15	31	31	NUM
ejpam-5788	461	16	)	)	PUNCT
ejpam-5788	461	17	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	461	18	)	)	PUNCT
ejpam-5788	461	19	∂λ2	∂λ2	PROPN
ejpam-5788	462	1	=	=	PUNCT
ejpam-5788	463	1	−d2	−d2	NOUN
ejpam-5788	463	2	λ2	λ2	NOUN
ejpam-5788	463	3	,	,	PUNCT
ejpam-5788	463	4	(	(	PUNCT
ejpam-5788	463	5	32	32	NUM
ejpam-5788	463	6	)	)	PUNCT
ejpam-5788	463	7	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	463	8	)	)	PUNCT
ejpam-5788	463	9	∂θ∂σ	∂θ∂σ	PROPN
ejpam-5788	463	10	=	=	PUNCT
ejpam-5788	463	11	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	463	12	)	)	PUNCT
ejpam-5788	463	13	∂σ∂θ	∂σ∂θ	NOUN
ejpam-5788	463	14	=	=	SYM
ejpam-5788	463	15	n1	n1	PROPN
ejpam-5788	463	16	+	+	NUM
ejpam-5788	463	17	λn2	λn2	X
ejpam-5788	463	18	σ	σ	NOUN
ejpam-5788	463	19	+	+	CCONJ
ejpam-5788	463	20	(	(	PUNCT
ejpam-5788	463	21	d1	d1	PROPN
ejpam-5788	463	22	−	−	PROPN
ejpam-5788	463	23	n1)σ	n1)σ	PROPN
ejpam-5788	463	24	θ−1(1	θ−1(1	ADJ
ejpam-5788	463	25	+	+	NUM
ejpam-5788	463	26	θ	θ	PROPN
ejpam-5788	463	27	log	log	NOUN
ejpam-5788	463	28	σ	σ	NOUN
ejpam-5788	463	29	)	)	PUNCT
ejpam-5788	463	30	σθ	σθ	NOUN
ejpam-5788	464	1	+	+	CCONJ
ejpam-5788	464	2	cθ	cθ	ADP
ejpam-5788	464	3	1	1	NUM
ejpam-5788	464	4	+	+	CCONJ
ejpam-5788	464	5	(	(	PUNCT
ejpam-5788	464	6	d2	d2	PROPN
ejpam-5788	464	7	−	−	PROPN
ejpam-5788	464	8	n2)σ	n2)σ	NOUN
ejpam-5788	464	9	θ−1λ(1	θ−1λ(1	VERB
ejpam-5788	464	10	+	+	CCONJ
ejpam-5788	464	11	θ	θ	PROPN
ejpam-5788	464	12	log	log	PROPN
ejpam-5788	464	13	σ	σ	NOUN
ejpam-5788	464	14	)	)	PUNCT
ejpam-5788	464	15	σθ	σθ	NOUN
ejpam-5788	465	1	+	+	CCONJ
ejpam-5788	465	2	cθ	cθ	ADP
ejpam-5788	465	3	2	2	NUM
ejpam-5788	465	4	a.	a.	NOUN
ejpam-5788	465	5	a.	a.	NOUN
ejpam-5788	465	6	soliman	soliman	PROPN
ejpam-5788	465	7	et	et	PROPN
ejpam-5788	465	8	al	al	PROPN
ejpam-5788	465	9	.	.	PUNCT
ejpam-5788	465	10	/	/	SYM
ejpam-5788	465	11	eur	eur	PROPN
ejpam-5788	465	12	.	.	PUNCT
ejpam-5788	466	1	j.	j.	PROPN
ejpam-5788	466	2	pure	pure	PROPN
ejpam-5788	466	3	appl	appl	PROPN
ejpam-5788	466	4	.	.	PROPN
ejpam-5788	466	5	math	math	PROPN
ejpam-5788	466	6	,	,	PUNCT
ejpam-5788	466	7	18	18	NUM
ejpam-5788	466	8	(	(	PUNCT
ejpam-5788	466	9	2	2	NUM
ejpam-5788	466	10	)	)	PUNCT
ejpam-5788	466	11	(	(	PUNCT
ejpam-5788	466	12	2025	2025	NUM
ejpam-5788	466	13	)	)	PUNCT
ejpam-5788	466	14	,	,	PUNCT
ejpam-5788	466	15	5788	5788	NUM
ejpam-5788	466	16	17	17	NUM
ejpam-5788	466	17	of	of	ADP
ejpam-5788	466	18	34	34	NUM
ejpam-5788	466	19	+	+	CCONJ
ejpam-5788	466	20	(	(	PUNCT
ejpam-5788	466	21	n1	n1	ADV
ejpam-5788	466	22	−d1)θσ	−d1)θσ	ADJ
ejpam-5788	466	23	θ−1(σθ	θ−1(σθ	PROPN
ejpam-5788	466	24	log	log	NOUN
ejpam-5788	466	25	σ	σ	NOUN
ejpam-5788	467	1	+	+	CCONJ
ejpam-5788	467	2	cθ	cθ	ADP
ejpam-5788	467	3	1	1	NUM
ejpam-5788	467	4	logc1	logc1	NOUN
ejpam-5788	467	5	)	)	PUNCT
ejpam-5788	468	1	(	(	PUNCT
ejpam-5788	468	2	σθ	σθ	NOUN
ejpam-5788	468	3	+	+	CCONJ
ejpam-5788	468	4	cθ	cθ	ADP
ejpam-5788	468	5	1	1	NUM
ejpam-5788	468	6	)	)	PUNCT
ejpam-5788	468	7	2	2	NUM
ejpam-5788	468	8	+	+	CCONJ
ejpam-5788	468	9	(	(	PUNCT
ejpam-5788	468	10	n2	n2	ADJ
ejpam-5788	468	11	−d2)θσ	−d2)θσ	NOUN
ejpam-5788	468	12	θ−1λ(σθ	θ−1λ(σθ	NOUN
ejpam-5788	468	13	log	log	NOUN
ejpam-5788	468	14	σ	σ	PROPN
ejpam-5788	469	1	+	+	CCONJ
ejpam-5788	469	2	cθ	cθ	ADP
ejpam-5788	469	3	2	2	NUM
ejpam-5788	469	4	logc2	logc2	PROPN
ejpam-5788	469	5	)	)	PUNCT
ejpam-5788	470	1	(	(	PUNCT
ejpam-5788	470	2	σθ	σθ	NOUN
ejpam-5788	470	3	+	+	CCONJ
ejpam-5788	470	4	cθ	cθ	ADP
ejpam-5788	470	5	2	2	NUM
ejpam-5788	470	6	)	)	PUNCT
ejpam-5788	470	7	2	2	NUM
ejpam-5788	470	8	−	−	NOUN
ejpam-5788	470	9	(	(	PUNCT
ejpam-5788	470	10	1	1	NUM
ejpam-5788	470	11	+	+	NUM
ejpam-5788	470	12	λ	λ	NOUN
ejpam-5788	470	13	)	)	PUNCT
ejpam-5788	470	14	d2∑	d2∑	PROPN
ejpam-5788	470	15	i=1	i=1	PROPN
ejpam-5788	471	1	(	(	PUNCT
ejpam-5788	471	2	σθ−1	σθ−1	PROPN
ejpam-5788	471	3	+	+	CCONJ
ejpam-5788	471	4	θσθ−1	θσθ−1	PROPN
ejpam-5788	471	5	log	log	NOUN
ejpam-5788	471	6	σ	σ	NUM
ejpam-5788	471	7	σθ	σθ	PROPN
ejpam-5788	471	8	+	+	CCONJ
ejpam-5788	471	9	xθi	xθi	PROPN
ejpam-5788	471	10	−	−	PROPN
ejpam-5788	471	11	θσθ−1(σθ	θσθ−1(σθ	NOUN
ejpam-5788	471	12	log	log	NOUN
ejpam-5788	471	13	σ	σ	PROPN
ejpam-5788	472	1	+	+	CCONJ
ejpam-5788	472	2	xθi	xθi	PROPN
ejpam-5788	472	3	log	log	NOUN
ejpam-5788	472	4	xi	xi	PROPN
ejpam-5788	472	5	)	)	PUNCT
ejpam-5788	472	6	(	(	PUNCT
ejpam-5788	472	7	σθ	σθ	NOUN
ejpam-5788	472	8	+	+	CCONJ
ejpam-5788	472	9	xθi	xθi	PROPN
ejpam-5788	472	10	)	)	PUNCT
ejpam-5788	472	11	2	2	NUM
ejpam-5788	472	12	)	)	PUNCT
ejpam-5788	472	13	−	−	PROPN
ejpam-5788	472	14	2	2	NUM
ejpam-5788	472	15	d1∑	d1∑	PROPN
ejpam-5788	472	16	i=1	i=1	PROPN
ejpam-5788	472	17	(	(	PUNCT
ejpam-5788	472	18	σθ−1	σθ−1	PROPN
ejpam-5788	472	19	+	+	CCONJ
ejpam-5788	473	1	θσθ−1	θσθ−1	PROPN
ejpam-5788	473	2	log	log	NOUN
ejpam-5788	473	3	σ	σ	NUM
ejpam-5788	473	4	σθ	σθ	PROPN
ejpam-5788	473	5	+	+	CCONJ
ejpam-5788	473	6	xθi	xθi	PROPN
ejpam-5788	473	7	−	−	PROPN
ejpam-5788	473	8	θσθ−1(σθ	θσθ−1(σθ	NOUN
ejpam-5788	473	9	log	log	VERB
ejpam-5788	473	10	θ	θ	PROPN
ejpam-5788	474	1	+	+	CCONJ
ejpam-5788	474	2	xθi	xθi	PROPN
ejpam-5788	474	3	log	log	NOUN
ejpam-5788	474	4	xi	xi	PROPN
ejpam-5788	474	5	)	)	PUNCT
ejpam-5788	474	6	(	(	PUNCT
ejpam-5788	474	7	σθ	σθ	NOUN
ejpam-5788	474	8	+	+	CCONJ
ejpam-5788	474	9	xθi	xθi	PROPN
ejpam-5788	474	10	)	)	PUNCT
ejpam-5788	474	11	2	2	NUM
ejpam-5788	474	12	)	)	PUNCT
ejpam-5788	474	13	,	,	PUNCT
ejpam-5788	474	14	(	(	PUNCT
ejpam-5788	474	15	33	33	NUM
ejpam-5788	474	16	)	)	PUNCT
ejpam-5788	474	17	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	474	18	)	)	PUNCT
ejpam-5788	475	1	∂θ∂λ	∂θ∂λ	PROPN
ejpam-5788	475	2	=	=	PUNCT
ejpam-5788	475	3	∂2ℓ(φ	∂2ℓ(φ	PROPN
ejpam-5788	475	4	)	)	PUNCT
ejpam-5788	475	5	∂λ∂θ	∂λ∂θ	NOUN
ejpam-5788	475	6	=	=	SYM
ejpam-5788	475	7	(	(	PUNCT
ejpam-5788	475	8	d2	d2	PROPN
ejpam-5788	475	9	−	−	PROPN
ejpam-5788	475	10	n2)(σ	n2)(σ	NOUN
ejpam-5788	476	1	θ	θ	PROPN
ejpam-5788	476	2	log	log	VERB
ejpam-5788	476	3	σ	σ	NOUN
ejpam-5788	477	1	+	+	CCONJ
ejpam-5788	477	2	cθ	cθ	ADP
ejpam-5788	477	3	2	2	NUM
ejpam-5788	477	4	logd2	logd2	NOUN
ejpam-5788	477	5	)	)	PUNCT
ejpam-5788	477	6	σθ	σθ	NOUN
ejpam-5788	478	1	+	+	CCONJ
ejpam-5788	478	2	cθ	cθ	ADP
ejpam-5788	478	3	2	2	NUM
ejpam-5788	478	4	−	−	NOUN
ejpam-5788	478	5	d2∑	d2∑	PROPN
ejpam-5788	478	6	i=1	i=1	PROPN
ejpam-5788	479	1	σθ	σθ	PROPN
ejpam-5788	479	2	log	log	PROPN
ejpam-5788	479	3	σ	σ	PROPN
ejpam-5788	480	1	+	+	CCONJ
ejpam-5788	480	2	xαi	xαi	NOUN
ejpam-5788	480	3	log	log	NOUN
ejpam-5788	480	4	xi	xi	PROPN
ejpam-5788	480	5	σθ	σθ	PROPN
ejpam-5788	481	1	+	+	CCONJ
ejpam-5788	481	2	xθi	xθi	PROPN
ejpam-5788	481	3	,	,	PUNCT
ejpam-5788	481	4	(	(	PUNCT
ejpam-5788	481	5	34	34	NUM
ejpam-5788	481	6	)	)	PUNCT
ejpam-5788	481	7	and	and	CCONJ
ejpam-5788	481	8	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	482	1	)	)	PUNCT
ejpam-5788	482	2	∂σ∂λ	∂σ∂λ	NOUN
ejpam-5788	482	3	=	=	PUNCT
ejpam-5788	482	4	∂2ℓ(φ	∂2ℓ(φ	NOUN
ejpam-5788	482	5	)	)	PUNCT
ejpam-5788	482	6	∂λ∂σ	∂λ∂σ	NOUN
ejpam-5788	482	7	=	=	SYM
ejpam-5788	482	8	(	(	PUNCT
ejpam-5788	482	9	d2	d2	PROPN
ejpam-5788	482	10	−	−	PROPN
ejpam-5788	482	11	n2)θσ	n2)θσ	NOUN
ejpam-5788	482	12	θ−1	θ−1	PROPN
ejpam-5788	482	13	σθ	σθ	INTJ
ejpam-5788	483	1	+	+	CCONJ
ejpam-5788	483	2	cθ	cθ	ADP
ejpam-5788	483	3	2	2	NUM
ejpam-5788	483	4	−	−	NOUN
ejpam-5788	483	5	d2∑	d2∑	PROPN
ejpam-5788	483	6	i=1	i=1	PROPN
ejpam-5788	484	1	θσθ−1	θσθ−1	PROPN
ejpam-5788	484	2	σθ	σθ	PROPN
ejpam-5788	484	3	+	+	CCONJ
ejpam-5788	484	4	xθi	xθi	PROPN
ejpam-5788	484	5	.	.	PUNCT
ejpam-5788	485	1	(	(	PUNCT
ejpam-5788	485	2	35	35	NUM
ejpam-5788	485	3	)	)	PUNCT
ejpam-5788	485	4	using	use	VERB
ejpam-5788	485	5	the	the	DET
ejpam-5788	485	6	asymptotic	asymptotic	ADJ
ejpam-5788	485	7	distribution	distribution	NOUN
ejpam-5788	485	8	of	of	ADP
ejpam-5788	485	9	the	the	DET
ejpam-5788	485	10	maximum	maximum	ADJ
ejpam-5788	485	11	likelihood	likelihood	NOUN
ejpam-5788	485	12	estimators	estimator	NOUN
ejpam-5788	485	13	(	(	PUNCT
ejpam-5788	485	14	mle	mle	PROPN
ejpam-5788	485	15	)	)	PUNCT
ejpam-5788	485	16	,	,	PUNCT
ejpam-5788	485	17	specifically	specifically	ADV
ejpam-5788	485	18	the	the	DET
ejpam-5788	485	19	multivariate	multivariate	NOUN
ejpam-5788	485	20	normal	normal	ADJ
ejpam-5788	485	21	distribution	distribution	NOUN
ejpam-5788	485	22	with	with	ADP
ejpam-5788	485	23	a	a	DET
ejpam-5788	485	24	mean	mean	ADJ
ejpam-5788	485	25	vector	vector	NOUN
ejpam-5788	485	26	of	of	ADP
ejpam-5788	485	27	zero	zero	NUM
ejpam-5788	485	28	and	and	CCONJ
ejpam-5788	485	29	a	a	DET
ejpam-5788	485	30	variance−covariance	variance−covariance	NOUN
ejpam-5788	485	31	matrix	matrix	NOUN
ejpam-5788	485	32	as	as	SCONJ
ejpam-5788	485	33	described	describe	VERB
ejpam-5788	485	34	in	in	ADP
ejpam-5788	485	35	eq.(29	eq.(29	PROPN
ejpam-5788	485	36	)	)	PUNCT
ejpam-5788	485	37	,	,	PUNCT
ejpam-5788	485	38	it	it	PRON
ejpam-5788	485	39	can	can	AUX
ejpam-5788	485	40	be	be	AUX
ejpam-5788	485	41	observed	observe	VERB
ejpam-5788	485	42	that	that	SCONJ
ejpam-5788	485	43	the	the	DET
ejpam-5788	485	44	expression	expression	NOUN
ejpam-5788	485	45	√	√	PROPN
ejpam-5788	485	46	n(φ̂−φ	n(φ̂−φ	NUM
ejpam-5788	485	47	)	)	PUNCT
ejpam-5788	485	48	follows	follow	VERB
ejpam-5788	485	49	this	this	DET
ejpam-5788	485	50	distribution	distribution	NOUN
ejpam-5788	485	51	.	.	PUNCT
ejpam-5788	486	1	hence	hence	ADV
ejpam-5788	486	2	,	,	PUNCT
ejpam-5788	486	3	for	for	ADP
ejpam-5788	486	4	any	any	DET
ejpam-5788	486	5	arbitrary	arbitrary	ADJ
ejpam-5788	486	6	value	value	NOUN
ejpam-5788	486	7	of	of	ADP
ejpam-5788	486	8	0	0	NUM
ejpam-5788	486	9	<	<	X
ejpam-5788	486	10	υ	υ	X
ejpam-5788	486	11	<	<	X
ejpam-5788	486	12	1	1	NUM
ejpam-5788	486	13	,	,	PUNCT
ejpam-5788	486	14	the	the	DET
ejpam-5788	486	15	100(1−υ)%	100(1−υ)%	NUM
ejpam-5788	486	16	asymptotic	asymptotic	ADJ
ejpam-5788	486	17	confidence	confidence	NOUN
ejpam-5788	486	18	intervals	interval	NOUN
ejpam-5788	486	19	(	(	PUNCT
ejpam-5788	486	20	acis	acis	PROPN
ejpam-5788	486	21	)	)	PUNCT
ejpam-5788	486	22	for	for	ADP
ejpam-5788	486	23	the	the	DET
ejpam-5788	486	24	unknown	unknown	ADJ
ejpam-5788	486	25	parameters	parameter	NOUN
ejpam-5788	486	26	can	can	AUX
ejpam-5788	486	27	be	be	AUX
ejpam-5788	486	28	expressed	express	VERB
ejpam-5788	486	29	in	in	ADP
ejpam-5788	486	30	the	the	DET
ejpam-5788	486	31	following	follow	VERB
ejpam-5788	486	32	manner	manner	NOUN
ejpam-5788	486	33	;	;	PUNCT
ejpam-5788	486	34			PUNCT
ejpam-5788	486	35	θ̂	θ̂	NUM
ejpam-5788	486	36	±	±	NUM
ejpam-5788	486	37	zυ/2ϖ̂11	zυ/2ϖ̂11	PROPN
ejpam-5788	486	38	,	,	PUNCT
ejpam-5788	486	39	σ̂	σ̂	PROPN
ejpam-5788	486	40	±	±	NUM
ejpam-5788	486	41	zυ/2ϖ̂22	zυ/2ϖ̂22	ADJ
ejpam-5788	486	42	,	,	PUNCT
ejpam-5788	486	43	λ̂±	λ̂±	PROPN
ejpam-5788	486	44	zυ/2ϖ̂33	zυ/2ϖ̂33	PROPN
ejpam-5788	486	45	.	.	PUNCT
ejpam-5788	487	1	(	(	PUNCT
ejpam-5788	487	2	36	36	NUM
ejpam-5788	487	3	)	)	PUNCT
ejpam-5788	487	4	the	the	DET
ejpam-5788	487	5	conventional	conventional	ADJ
ejpam-5788	487	6	tabular	tabular	NOUN
ejpam-5788	487	7	normal	normal	ADJ
ejpam-5788	487	8	values	value	NOUN
ejpam-5788	487	9	zυ/2	zυ/2	VERB
ejpam-5788	487	10	with	with	ADP
ejpam-5788	487	11	tail	tail	NOUN
ejpam-5788	487	12	(	(	PUNCT
ejpam-5788	487	13	υ/2	υ/2	NUM
ejpam-5788	487	14	)	)	PUNCT
ejpam-5788	487	15	are	be	AUX
ejpam-5788	487	16	denoted	denote	VERB
ejpam-5788	487	17	correspondingly	correspondingly	ADV
ejpam-5788	487	18	.	.	PUNCT
ejpam-5788	488	1	2.3.2	2.3.2	X
ejpam-5788	488	2	.	.	X
ejpam-5788	488	3	bootstrap	bootstrap	NOUN
ejpam-5788	488	4	methods	method	NOUN
ejpam-5788	488	5	the	the	DET
ejpam-5788	488	6	bootstrap	bootstrap	NOUN
ejpam-5788	488	7	method	method	NOUN
ejpam-5788	488	8	is	be	AUX
ejpam-5788	488	9	a	a	DET
ejpam-5788	488	10	widely	widely	ADV
ejpam-5788	488	11	recognized	recognize	VERB
ejpam-5788	488	12	resampling	resample	VERB
ejpam-5788	488	13	technique	technique	NOUN
ejpam-5788	488	14	used	use	VERB
ejpam-5788	488	15	in	in	ADP
ejpam-5788	488	16	statistics	statistic	NOUN
ejpam-5788	488	17	to	to	PART
ejpam-5788	488	18	estimate	estimate	VERB
ejpam-5788	488	19	the	the	DET
ejpam-5788	488	20	sampling	sample	VERB
ejpam-5788	488	21	distribution	distribution	NOUN
ejpam-5788	488	22	of	of	ADP
ejpam-5788	488	23	a	a	DET
ejpam-5788	488	24	statistic	statistic	NOUN
ejpam-5788	488	25	.	.	PUNCT
ejpam-5788	489	1	it	it	PRON
ejpam-5788	489	2	achieves	achieve	VERB
ejpam-5788	489	3	this	this	PRON
ejpam-5788	489	4	by	by	ADP
ejpam-5788	489	5	repeatedly	repeatedly	ADV
ejpam-5788	489	6	sampling	sample	VERB
ejpam-5788	489	7	with	with	ADP
ejpam-5788	489	8	replacement	replacement	NOUN
ejpam-5788	489	9	from	from	ADP
ejpam-5788	489	10	the	the	DET
ejpam-5788	489	11	observed	observe	VERB
ejpam-5788	489	12	data	datum	NOUN
ejpam-5788	489	13	.	.	PUNCT
ejpam-5788	490	1	the	the	DET
ejpam-5788	490	2	main	main	ADJ
ejpam-5788	490	3	objective	objective	NOUN
ejpam-5788	490	4	of	of	ADP
ejpam-5788	490	5	this	this	DET
ejpam-5788	490	6	method	method	NOUN
ejpam-5788	490	7	is	be	AUX
ejpam-5788	490	8	to	to	PART
ejpam-5788	490	9	offer	offer	VERB
ejpam-5788	490	10	an	an	DET
ejpam-5788	490	11	empirical	empirical	ADJ
ejpam-5788	490	12	approximation	approximation	NOUN
ejpam-5788	490	13	of	of	ADP
ejpam-5788	490	14	the	the	DET
ejpam-5788	490	15	sampling	sample	VERB
ejpam-5788	490	16	distribution	distribution	NOUN
ejpam-5788	490	17	of	of	ADP
ejpam-5788	490	18	a	a	DET
ejpam-5788	490	19	statistic	statistic	NOUN
ejpam-5788	490	20	,	,	PUNCT
ejpam-5788	490	21	which	which	PRON
ejpam-5788	490	22	proves	prove	VERB
ejpam-5788	490	23	useful	useful	ADJ
ejpam-5788	490	24	for	for	ADP
ejpam-5788	490	25	making	make	VERB
ejpam-5788	490	26	inferences	inference	NOUN
ejpam-5788	490	27	and	and	CCONJ
ejpam-5788	490	28	constructing	construct	VERB
ejpam-5788	490	29	confidence	confidence	NOUN
ejpam-5788	490	30	intervals	interval	NOUN
ejpam-5788	490	31	.	.	PUNCT
ejpam-5788	491	1	the	the	DET
ejpam-5788	491	2	bootstrap	bootstrap	NOUN
ejpam-5788	491	3	method	method	NOUN
ejpam-5788	491	4	,	,	PUNCT
ejpam-5788	491	5	originally	originally	ADV
ejpam-5788	491	6	introduced	introduce	VERB
ejpam-5788	491	7	by	by	ADP
ejpam-5788	491	8	ref.[39	ref.[39	NOUN
ejpam-5788	491	9	]	]	PUNCT
ejpam-5788	491	10	,	,	PUNCT
ejpam-5788	491	11	has	have	AUX
ejpam-5788	491	12	been	be	AUX
ejpam-5788	491	13	rigorously	rigorously	ADV
ejpam-5788	491	14	examined	examine	VERB
ejpam-5788	491	15	and	and	CCONJ
ejpam-5788	491	16	extensively	extensively	ADV
ejpam-5788	491	17	debated	debate	VERB
ejpam-5788	491	18	in	in	ADP
ejpam-5788	491	19	the	the	DET
ejpam-5788	491	20	academic	academic	ADJ
ejpam-5788	491	21	literature	literature	NOUN
ejpam-5788	491	22	.	.	PUNCT
ejpam-5788	492	1	in	in	ADP
ejpam-5788	492	2	this	this	DET
ejpam-5788	492	3	subsection	subsection	NOUN
ejpam-5788	492	4	,	,	PUNCT
ejpam-5788	492	5	we	we	PRON
ejpam-5788	492	6	use	use	VERB
ejpam-5788	492	7	the	the	DET
ejpam-5788	492	8	parametric	parametric	ADJ
ejpam-5788	492	9	bootstrap	bootstrap	NOUN
ejpam-5788	492	10	method	method	NOUN
ejpam-5788	492	11	to	to	PART
ejpam-5788	492	12	construct	construct	VERB
ejpam-5788	492	13	normal	normal	ADJ
ejpam-5788	492	14	bootstrap	bootstrap	NOUN
ejpam-5788	492	15	(	(	PUNCT
ejpam-5788	492	16	n	n	CCONJ
ejpam-5788	492	17	-	-	PUNCT
ejpam-5788	492	18	boot	boot	NOUN
ejpam-5788	492	19	)	)	PUNCT
ejpam-5788	492	20	confidence	confidence	NOUN
ejpam-5788	492	21	interval	interval	NOUN
ejpam-5788	492	22	(	(	PUNCT
ejpam-5788	492	23	ci	ci	NOUN
ejpam-5788	492	24	)	)	PUNCT
ejpam-5788	492	25	for	for	ADP
ejpam-5788	492	26	the	the	DET
ejpam-5788	492	27	unknown	unknown	ADJ
ejpam-5788	492	28	model	model	NOUN
ejpam-5788	492	29	parameter	parameter	NOUN
ejpam-5788	492	30	(	(	PUNCT
ejpam-5788	492	31	θ	θ	PROPN
ejpam-5788	492	32	,	,	PUNCT
ejpam-5788	492	33	σ	σ	PROPN
ejpam-5788	492	34	,	,	PUNCT
ejpam-5788	492	35	λ	λ	PROPN
ejpam-5788	492	36	)	)	PUNCT
ejpam-5788	492	37	,	,	PUNCT
ejpam-5788	492	38	see	see	VERB
ejpam-5788	492	39	ref.[40	ref.[40	NOUN
ejpam-5788	492	40	]	]	X
ejpam-5788	492	41	.	.	PUNCT
ejpam-5788	493	1	the	the	DET
ejpam-5788	493	2	procedures	procedure	NOUN
ejpam-5788	493	3	outlined	outline	VERB
ejpam-5788	493	4	in	in	ADP
ejpam-5788	493	5	algo.(2	algo.(2	PROPN
ejpam-5788	493	6	)	)	PUNCT
ejpam-5788	493	7	are	be	AUX
ejpam-5788	493	8	utilized	utilize	VERB
ejpam-5788	493	9	to	to	PART
ejpam-5788	493	10	derive	derive	VERB
ejpam-5788	493	11	100(1−	100(1−	NUM
ejpam-5788	493	12	υ)%	υ)%	NOUN
ejpam-5788	493	13	normal	normal	ADJ
ejpam-5788	493	14	bootstrap	bootstrap	NOUN
ejpam-5788	493	15	confidence	confidence	NOUN
ejpam-5788	493	16	intervals	interval	NOUN
ejpam-5788	493	17	for	for	ADP
ejpam-5788	493	18	these	these	DET
ejpam-5788	493	19	parameters	parameter	NOUN
ejpam-5788	493	20	.	.	PUNCT
ejpam-5788	494	1	a.	a.	PROPN
ejpam-5788	494	2	a.	a.	PROPN
ejpam-5788	494	3	soliman	soliman	PROPN
ejpam-5788	494	4	et	et	PROPN
ejpam-5788	494	5	al	al	PROPN
ejpam-5788	494	6	.	.	PUNCT
ejpam-5788	494	7	/	/	SYM
ejpam-5788	494	8	eur	eur	PROPN
ejpam-5788	494	9	.	.	PUNCT
ejpam-5788	495	1	j.	j.	PROPN
ejpam-5788	495	2	pure	pure	PROPN
ejpam-5788	495	3	appl	appl	PROPN
ejpam-5788	495	4	.	.	PROPN
ejpam-5788	495	5	math	math	PROPN
ejpam-5788	495	6	,	,	PUNCT
ejpam-5788	495	7	18	18	NUM
ejpam-5788	495	8	(	(	PUNCT
ejpam-5788	495	9	2	2	NUM
ejpam-5788	495	10	)	)	PUNCT
ejpam-5788	495	11	(	(	PUNCT
ejpam-5788	495	12	2025	2025	NUM
ejpam-5788	495	13	)	)	PUNCT
ejpam-5788	495	14	,	,	PUNCT
ejpam-5788	495	15	5788	5788	NUM
ejpam-5788	495	16	18	18	NUM
ejpam-5788	495	17	of	of	ADP
ejpam-5788	495	18	34	34	NUM
ejpam-5788	495	19	algorithm	algorithm	NOUN
ejpam-5788	495	20	2	2	NUM
ejpam-5788	495	21	.	.	X
ejpam-5788	495	22	normal	normal	ADJ
ejpam-5788	495	23	bootstrap	bootstrap	NOUN
ejpam-5788	495	24	ci	ci	PROPN
ejpam-5788	495	25	for	for	ADP
ejpam-5788	495	26	(	(	PUNCT
ejpam-5788	495	27	θ	θ	PROPN
ejpam-5788	495	28	,	,	PUNCT
ejpam-5788	495	29	σ	σ	PROPN
ejpam-5788	495	30	,	,	PUNCT
ejpam-5788	495	31	λ	λ	NOUN
ejpam-5788	495	32	)	)	PUNCT
ejpam-5788	495	33	.	.	PUNCT
ejpam-5788	496	1	step	step	NOUN
ejpam-5788	496	2	1	1	NUM
ejpam-5788	496	3	:	:	PUNCT
ejpam-5788	496	4	based	base	VERB
ejpam-5788	496	5	on	on	ADP
ejpam-5788	496	6	the	the	DET
ejpam-5788	496	7	original	original	ADJ
ejpam-5788	496	8	type	type	NOUN
ejpam-5788	496	9	-	-	PUNCT
ejpam-5788	496	10	i	i	PRON
ejpam-5788	496	11	ghcs	ghcs	VERB
ejpam-5788	496	12	xj	xj	PROPN
ejpam-5788	496	13	=	=	SYM
ejpam-5788	496	14	{	{	PUNCT
ejpam-5788	496	15	xj1	xj1	PROPN
ejpam-5788	496	16	,	,	PUNCT
ejpam-5788	496	17	.	.	PUNCT
ejpam-5788	496	18	.	.	PUNCT
ejpam-5788	496	19	.	.	PUNCT
ejpam-5788	497	1	,	,	PUNCT
ejpam-5788	497	2	xjdj	xjdj	PROPN
ejpam-5788	497	3	}	}	PUNCT
ejpam-5788	497	4	,	,	PUNCT
ejpam-5788	497	5	j	j	PROPN
ejpam-5788	497	6	=	=	SYM
ejpam-5788	497	7	1	1	NUM
ejpam-5788	497	8	,	,	PUNCT
ejpam-5788	497	9	2	2	NUM
ejpam-5788	497	10	,	,	PUNCT
ejpam-5788	497	11	and	and	CCONJ
ejpam-5788	497	12	x	x	X
ejpam-5788	497	13	=	=	SYM
ejpam-5788	497	14	{	{	PUNCT
ejpam-5788	497	15	x1	x1	PROPN
ejpam-5788	497	16	,	,	PUNCT
ejpam-5788	497	17	x2	x2	PROPN
ejpam-5788	497	18	}	}	PUNCT
ejpam-5788	497	19	,	,	PUNCT
ejpam-5788	497	20	obtain	obtain	VERB
ejpam-5788	497	21	the	the	DET
ejpam-5788	497	22	estimates	estimate	NOUN
ejpam-5788	497	23	of	of	ADP
ejpam-5788	497	24	(	(	PUNCT
ejpam-5788	497	25	θ	θ	PROPN
ejpam-5788	497	26	,	,	PUNCT
ejpam-5788	497	27	σ	σ	PROPN
ejpam-5788	497	28	,	,	PUNCT
ejpam-5788	497	29	λ	λ	PROPN
ejpam-5788	497	30	)	)	PUNCT
ejpam-5788	497	31	,	,	PUNCT
ejpam-5788	497	32	say	say	VERB
ejpam-5788	497	33	(	(	PUNCT
ejpam-5788	497	34	θ̂ml	θ̂ml	NOUN
ejpam-5788	497	35	,	,	PUNCT
ejpam-5788	497	36	σ̂ml	σ̂ml	NOUN
ejpam-5788	497	37	,	,	PUNCT
ejpam-5788	497	38	λ̂ml	λ̂ml	NOUN
ejpam-5788	497	39	)	)	PUNCT
ejpam-5788	497	40	.	.	PUNCT
ejpam-5788	498	1	step	step	NOUN
ejpam-5788	498	2	2	2	NUM
ejpam-5788	498	3	:	:	PUNCT
ejpam-5788	498	4	employ	employ	VERB
ejpam-5788	498	5	the	the	DET
ejpam-5788	498	6	censoring	censor	VERB
ejpam-5788	498	7	plan	plan	NOUN
ejpam-5788	498	8	nj	nj	PROPN
ejpam-5788	498	9	,	,	PUNCT
ejpam-5788	498	10	lj	lj	INTJ
ejpam-5788	498	11	,	,	PUNCT
ejpam-5788	498	12	mj	mj	PROPN
ejpam-5788	498	13	,	,	PUNCT
ejpam-5788	498	14	t	t	PROPN
ejpam-5788	498	15	and	and	CCONJ
ejpam-5788	498	16	(	(	PUNCT
ejpam-5788	498	17	θ̂ml	θ̂ml	ADJ
ejpam-5788	498	18	,	,	PUNCT
ejpam-5788	498	19	σ̂ml	σ̂ml	NOUN
ejpam-5788	498	20	,	,	PUNCT
ejpam-5788	498	21	λ̂ml	λ̂ml	NOUN
ejpam-5788	498	22	)	)	PUNCT
ejpam-5788	498	23	to	to	PART
ejpam-5788	498	24	generate	generate	VERB
ejpam-5788	498	25	a	a	DET
ejpam-5788	498	26	type	type	NOUN
ejpam-5788	498	27	-	-	PUNCT
ejpam-5788	498	28	i	i	NOUN
ejpam-5788	498	29	ghcs	ghcs	PROPN
ejpam-5788	498	30	bootstrap	bootstrap	NOUN
ejpam-5788	498	31	sample	sample	NOUN
ejpam-5788	498	32	x∗	x∗	PROPN
ejpam-5788	498	33	j	j	PROPN
ejpam-5788	499	1	=	=	PUNCT
ejpam-5788	499	2	{	{	PUNCT
ejpam-5788	499	3	x∗	x∗	PROPN
ejpam-5788	499	4	j1	j1	PROPN
ejpam-5788	499	5	,	,	PUNCT
ejpam-5788	499	6	.	.	PUNCT
ejpam-5788	499	7	.	.	PUNCT
ejpam-5788	499	8	.	.	PUNCT
ejpam-5788	500	1	,	,	PUNCT
ejpam-5788	500	2	x	x	PROPN
ejpam-5788	500	3	∗	∗	NOUN
ejpam-5788	500	4	jdj	jdj	PROPN
ejpam-5788	500	5	}	}	PUNCT
ejpam-5788	500	6	,	,	PUNCT
ejpam-5788	500	7	j	j	PROPN
ejpam-5788	500	8	=	=	SYM
ejpam-5788	500	9	1	1	NUM
ejpam-5788	500	10	,	,	PUNCT
ejpam-5788	500	11	2	2	NUM
ejpam-5788	500	12	.	.	NOUN
ejpam-5788	500	13	step	step	NOUN
ejpam-5788	500	14	3	3	NUM
ejpam-5788	500	15	:	:	PUNCT
ejpam-5788	500	16	from	from	ADP
ejpam-5788	500	17	the	the	DET
ejpam-5788	500	18	ordered	order	VERB
ejpam-5788	500	19	observations	observation	NOUN
ejpam-5788	500	20	obtained	obtain	VERB
ejpam-5788	500	21	in	in	ADP
ejpam-5788	500	22	step	step	NOUN
ejpam-5788	500	23	2	2	NUM
ejpam-5788	500	24	,	,	PUNCT
ejpam-5788	500	25	the	the	DET
ejpam-5788	500	26	bootstrap	bootstrap	NOUN
ejpam-5788	500	27	sample	sample	NOUN
ejpam-5788	500	28	estimates	estimate	NOUN
ejpam-5788	500	29	of	of	ADP
ejpam-5788	500	30	(	(	PUNCT
ejpam-5788	500	31	θ	θ	PROPN
ejpam-5788	500	32	,	,	PUNCT
ejpam-5788	500	33	σ	σ	PROPN
ejpam-5788	500	34	,	,	PUNCT
ejpam-5788	500	35	λ	λ	NOUN
ejpam-5788	500	36	)	)	PUNCT
ejpam-5788	500	37	are	be	AUX
ejpam-5788	500	38	computed	compute	VERB
ejpam-5788	500	39	,	,	PUNCT
ejpam-5788	500	40	namely	namely	ADV
ejpam-5788	500	41	(	(	PUNCT
ejpam-5788	500	42	θ̂∗	θ̂∗	NOUN
ejpam-5788	500	43	,	,	PUNCT
ejpam-5788	500	44	σ̂∗	σ̂∗	ADV
ejpam-5788	500	45	,	,	PUNCT
ejpam-5788	500	46	λ̂∗	λ̂∗	PROPN
ejpam-5788	500	47	)	)	PUNCT
ejpam-5788	500	48	.	.	PUNCT
ejpam-5788	501	1	step	step	NOUN
ejpam-5788	501	2	4	4	NUM
ejpam-5788	501	3	:	:	PUNCT
ejpam-5788	501	4	to	to	PART
ejpam-5788	501	5	get	get	VERB
ejpam-5788	501	6	b∗	b∗	ADJ
ejpam-5788	501	7	bootstrap	bootstrap	NOUN
ejpam-5788	501	8	samples	sample	NOUN
ejpam-5788	501	9	,	,	PUNCT
ejpam-5788	501	10	repeat	repeat	NOUN
ejpam-5788	501	11	steps	step	NOUN
ejpam-5788	501	12	2	2	NUM
ejpam-5788	501	13	-	-	SYM
ejpam-5788	501	14	3	3	NUM
ejpam-5788	501	15	b	b	NOUN
ejpam-5788	501	16	several	several	ADJ
ejpam-5788	501	17	times	time	NOUN
ejpam-5788	501	18	.	.	PUNCT
ejpam-5788	502	1	step	step	NOUN
ejpam-5788	502	2	5	5	NUM
ejpam-5788	502	3	:	:	PUNCT
ejpam-5788	502	4	arrange	arrange	NOUN
ejpam-5788	502	5	all	all	PRON
ejpam-5788	502	6	(	(	PUNCT
ejpam-5788	502	7	θ̂∗	θ̂∗	PROPN
ejpam-5788	502	8	,	,	PUNCT
ejpam-5788	502	9	σ̂∗	σ̂∗	ADV
ejpam-5788	502	10	,	,	PUNCT
ejpam-5788	502	11	λ̂∗	λ̂∗	PROPN
ejpam-5788	502	12	)	)	PUNCT
ejpam-5788	502	13	in	in	ADP
ejpam-5788	502	14	ascending	ascend	VERB
ejpam-5788	502	15	order	order	NOUN
ejpam-5788	502	16	and	and	CCONJ
ejpam-5788	502	17	denote	denote	VERB
ejpam-5788	502	18	,	,	PUNCT
ejpam-5788	502	19	(	(	PUNCT
ejpam-5788	502	20	θ̂∗[1	θ̂∗[1	NOUN
ejpam-5788	502	21	]	]	X
ejpam-5788	502	22	,	,	PUNCT
ejpam-5788	502	23	θ̂∗[2	θ̂∗[2	PROPN
ejpam-5788	502	24	]	]	PUNCT
ejpam-5788	502	25	,	,	PUNCT
ejpam-5788	502	26	.	.	PUNCT
ejpam-5788	502	27	.	.	PUNCT
ejpam-5788	502	28	.	.	PUNCT
ejpam-5788	503	1	θ̂∗[b	θ̂∗[b	NUM
ejpam-5788	503	2	∗	∗	NOUN
ejpam-5788	503	3	]	]	PUNCT
ejpam-5788	503	4	)	)	PUNCT
ejpam-5788	503	5	,	,	PUNCT
ejpam-5788	503	6	(	(	PUNCT
ejpam-5788	503	7	σ̂∗[1	σ̂∗[1	PROPN
ejpam-5788	503	8	]	]	PUNCT
ejpam-5788	503	9	,	,	PUNCT
ejpam-5788	503	10	σ̂∗[2	σ̂∗[2	PROPN
ejpam-5788	503	11	]	]	PUNCT
ejpam-5788	503	12	,	,	PUNCT
ejpam-5788	503	13	.	.	PUNCT
ejpam-5788	503	14	.	.	PUNCT
ejpam-5788	503	15	.	.	PUNCT
ejpam-5788	504	1	σ̂∗[b∗	σ̂∗[b∗	X
ejpam-5788	504	2	]	]	PUNCT
ejpam-5788	504	3	)	)	PUNCT
ejpam-5788	504	4	,	,	PUNCT
ejpam-5788	504	5	and	and	CCONJ
ejpam-5788	504	6	(	(	PUNCT
ejpam-5788	504	7	λ̂∗[1	λ̂∗[1	PROPN
ejpam-5788	504	8	]	]	PUNCT
ejpam-5788	504	9	,	,	PUNCT
ejpam-5788	504	10	λ̂∗[2	λ̂∗[2	PROPN
ejpam-5788	504	11	]	]	X
ejpam-5788	504	12	,	,	PUNCT
ejpam-5788	504	13	.	.	PUNCT
ejpam-5788	504	14	.	.	PUNCT
ejpam-5788	504	15	.	.	PUNCT
ejpam-5788	505	1	λ̂∗[b∗	λ̂∗[b∗	X
ejpam-5788	505	2	]	]	X
ejpam-5788	505	3	)	)	PUNCT
ejpam-5788	505	4	step	step	NOUN
ejpam-5788	505	5	6	6	NUM
ejpam-5788	505	6	:	:	PUNCT
ejpam-5788	505	7	to	to	PART
ejpam-5788	505	8	rigorously	rigorously	ADV
ejpam-5788	505	9	construct	construct	VERB
ejpam-5788	505	10	the	the	DET
ejpam-5788	505	11	normal	normal	ADJ
ejpam-5788	505	12	bootstrap	bootstrap	NOUN
ejpam-5788	505	13	(	(	PUNCT
ejpam-5788	505	14	n	n	CCONJ
ejpam-5788	505	15	-	-	PUNCT
ejpam-5788	505	16	boot	boot	NOUN
ejpam-5788	505	17	)	)	PUNCT
ejpam-5788	505	18	confidence	confidence	NOUN
ejpam-5788	505	19	intervals	interval	NOUN
ejpam-5788	505	20	for	for	ADP
ejpam-5788	505	21	κj	κj	NOUN
ejpam-5788	505	22	,	,	PUNCT
ejpam-5788	505	23	j	j	PROPN
ejpam-5788	505	24	=	=	SYM
ejpam-5788	505	25	1	1	NUM
ejpam-5788	505	26	,	,	PUNCT
ejpam-5788	505	27	2	2	NUM
ejpam-5788	505	28	,	,	PUNCT
ejpam-5788	505	29	3	3	NUM
ejpam-5788	505	30	,	,	PUNCT
ejpam-5788	506	1	where	where	SCONJ
ejpam-5788	506	2	κ1	κ1	NOUN
ejpam-5788	506	3	=	=	SYM
ejpam-5788	506	4	θ	θ	PROPN
ejpam-5788	506	5	,	,	PUNCT
ejpam-5788	506	6	κ2	κ2	NOUN
ejpam-5788	506	7	=	=	SYM
ejpam-5788	506	8	σ	σ	PROPN
ejpam-5788	506	9	and	and	CCONJ
ejpam-5788	506	10	κ3	κ3	PROPN
ejpam-5788	506	11	=	=	SYM
ejpam-5788	506	12	λ	λ	PROPN
ejpam-5788	506	13	by	by	ADP
ejpam-5788	506	14	the	the	DET
ejpam-5788	506	15	following	following	NOUN
ejpam-5788	506	16	,	,	PUNCT
ejpam-5788	506	17	formulae	formulae	ADJ
ejpam-5788	506	18	:(	:(	X
ejpam-5788	506	19	2κ̂∗jml	2κ̂∗jml	NUM
ejpam-5788	506	20	−	−	NOUN
ejpam-5788	506	21	κ∗j	κ∗j	ADJ
ejpam-5788	506	22	−	−	PROPN
ejpam-5788	506	23	z1−υ	z1−υ	PROPN
ejpam-5788	506	24	2	2	NUM
ejpam-5788	506	25	√	√	ADP
ejpam-5788	506	26	s(κ̂∗j	s(κ̂∗j	NOUN
ejpam-5788	506	27	)	)	PUNCT
ejpam-5788	506	28	,	,	PUNCT
ejpam-5788	506	29	2κ̂∗jml	2κ̂∗jml	NUM
ejpam-5788	506	30	+	+	CCONJ
ejpam-5788	506	31	κ∗j	κ∗j	ADJ
ejpam-5788	506	32	−	−	PROPN
ejpam-5788	506	33	z1−υ	z1−υ	PROPN
ejpam-5788	506	34	2	2	NUM
ejpam-5788	506	35	√	√	ADP
ejpam-5788	506	36	s(κ̂∗j	s(κ̂∗j	NOUN
ejpam-5788	506	37	)	)	PUNCT
ejpam-5788	506	38	)	)	PUNCT
ejpam-5788	506	39	where	where	SCONJ
ejpam-5788	506	40	zp	zp	PROPN
ejpam-5788	506	41	is	be	AUX
ejpam-5788	506	42	p	p	PROPN
ejpam-5788	506	43	th	th	NUM
ejpam-5788	506	44	the	the	DET
ejpam-5788	506	45	quantile	quantile	NOUN
ejpam-5788	506	46	of	of	ADP
ejpam-5788	506	47	the	the	DET
ejpam-5788	506	48	standard	standard	ADJ
ejpam-5788	506	49	normal	normal	ADJ
ejpam-5788	506	50	distribution	distribution	NOUN
ejpam-5788	506	51	,	,	PUNCT
ejpam-5788	506	52	κ∗j	κ∗j	NOUN
ejpam-5788	506	53	=	=	NOUN
ejpam-5788	506	54	(	(	PUNCT
ejpam-5788	506	55	b∗)−1	b∗)−1	PROPN
ejpam-5788	506	56	b∗∑	b∗∑	PROPN
ejpam-5788	506	57	i=1	i=1	PROPN
ejpam-5788	506	58	κ̂	κ̂	ADJ
ejpam-5788	506	59	∗[i	∗[i	NOUN
ejpam-5788	506	60	]	]	X
ejpam-5788	506	61	j	j	PROPN
ejpam-5788	506	62	,	,	PUNCT
ejpam-5788	506	63	and	and	CCONJ
ejpam-5788	506	64	s(κ̂∗j	s(κ̂∗j	NOUN
ejpam-5788	506	65	)	)	PUNCT
ejpam-5788	507	1	=	=	SYM
ejpam-5788	507	2	(	(	PUNCT
ejpam-5788	507	3	b∗	b∗	ADJ
ejpam-5788	507	4	−	−	PROPN
ejpam-5788	507	5	1)−1	1)−1	NUM
ejpam-5788	507	6	b∗∑	b∗∑	NOUN
ejpam-5788	507	7	i=1	i=1	PROPN
ejpam-5788	508	1	(	(	PUNCT
ejpam-5788	508	2	κ̂	κ̂	NUM
ejpam-5788	508	3	∗[i	∗[i	NOUN
ejpam-5788	508	4	]	]	X
ejpam-5788	508	5	j	j	PROPN
ejpam-5788	508	6	−	−	PROPN
ejpam-5788	508	7	κ∗j	κ∗j	ADJ
ejpam-5788	508	8	)	)	PUNCT
ejpam-5788	508	9	2	2	NUM
ejpam-5788	508	10	2.3.3	2.3.3	NUM
ejpam-5788	508	11	.	.	PUNCT
ejpam-5788	509	1	highest	high	ADJ
ejpam-5788	509	2	posterior	posterior	ADJ
ejpam-5788	509	3	density	density	NOUN
ejpam-5788	509	4	credible	credible	ADJ
ejpam-5788	509	5	interval	interval	NOUN
ejpam-5788	509	6	in	in	ADP
ejpam-5788	509	7	subs	sub	NOUN
ejpam-5788	509	8	.	.	PUNCT
ejpam-5788	510	1	(	(	PUNCT
ejpam-5788	510	2	2.2.3	2.2.3	NUM
ejpam-5788	510	3	)	)	PUNCT
ejpam-5788	510	4	,	,	PUNCT
ejpam-5788	510	5	for	for	ADP
ejpam-5788	510	6	bayesian	bayesian	NOUN
ejpam-5788	510	7	point	point	NOUN
ejpam-5788	510	8	estimation	estimation	NOUN
ejpam-5788	510	9	,	,	PUNCT
ejpam-5788	510	10	b	b	NOUN
ejpam-5788	510	11	−m	−m	NOUN
ejpam-5788	510	12	samples	sample	NOUN
ejpam-5788	510	13	of	of	ADP
ejpam-5788	510	14	(	(	PUNCT
ejpam-5788	510	15	θ	θ	PROPN
ejpam-5788	510	16	,	,	PUNCT
ejpam-5788	510	17	σ	σ	PROPN
ejpam-5788	510	18	,	,	PUNCT
ejpam-5788	510	19	λ	λ	NOUN
ejpam-5788	510	20	)	)	PUNCT
ejpam-5788	510	21	were	be	AUX
ejpam-5788	510	22	;	;	PUNCT
ejpam-5788	510	23	(	(	PUNCT
ejpam-5788	510	24	θ̂(1	θ̂(1	NOUN
ejpam-5788	510	25	)	)	PUNCT
ejpam-5788	510	26	,	,	PUNCT
ejpam-5788	510	27	θ̂(2	θ̂(2	NOUN
ejpam-5788	510	28	)	)	PUNCT
ejpam-5788	510	29	,	,	PUNCT
ejpam-5788	510	30	.	.	PUNCT
ejpam-5788	510	31	.	.	PUNCT
ejpam-5788	511	1	.	.	PUNCT
ejpam-5788	512	1	,	,	PUNCT
ejpam-5788	512	2	θ̂(b−m	θ̂(b−m	NOUN
ejpam-5788	512	3	)	)	PUNCT
ejpam-5788	512	4	)	)	PUNCT
ejpam-5788	513	1	,	,	PUNCT
ejpam-5788	513	2	(	(	PUNCT
ejpam-5788	513	3	σ̂(1	σ̂(1	NOUN
ejpam-5788	513	4	)	)	PUNCT
ejpam-5788	513	5	,	,	PUNCT
ejpam-5788	513	6	σ̂(2	σ̂(2	PROPN
ejpam-5788	513	7	)	)	PUNCT
ejpam-5788	513	8	,	,	PUNCT
ejpam-5788	513	9	.	.	PUNCT
ejpam-5788	513	10	.	.	PUNCT
ejpam-5788	514	1	.	.	PUNCT
ejpam-5788	515	1	,	,	PUNCT
ejpam-5788	515	2	σ̂(b−m	σ̂(b−m	NOUN
ejpam-5788	515	3	)	)	PUNCT
ejpam-5788	515	4	)	)	PUNCT
ejpam-5788	515	5	,	,	PUNCT
ejpam-5788	515	6	and	and	CCONJ
ejpam-5788	515	7	(	(	PUNCT
ejpam-5788	515	8	λ̂(1	λ̂(1	NOUN
ejpam-5788	515	9	)	)	PUNCT
ejpam-5788	515	10	,	,	PUNCT
ejpam-5788	515	11	λ̂(2	λ̂(2	NOUN
ejpam-5788	515	12	)	)	PUNCT
ejpam-5788	515	13	,	,	PUNCT
ejpam-5788	515	14	.	.	PUNCT
ejpam-5788	515	15	.	.	PUNCT
ejpam-5788	516	1	.	.	PUNCT
ejpam-5788	517	1	,	,	PUNCT
ejpam-5788	517	2	λ̂(b−m	λ̂(b−m	NOUN
ejpam-5788	517	3	)	)	PUNCT
ejpam-5788	517	4	)	)	PUNCT
ejpam-5788	517	5	.	.	PUNCT
ejpam-5788	518	1	for	for	ADP
ejpam-5788	518	2	arbitrary	arbitrary	ADJ
ejpam-5788	518	3	0	0	PUNCT
ejpam-5788	518	4	<	<	X
ejpam-5788	518	5	υ	υ	X
ejpam-5788	518	6	<	<	X
ejpam-5788	518	7	1	1	NUM
ejpam-5788	518	8	,	,	PUNCT
ejpam-5788	518	9	a	a	DET
ejpam-5788	518	10	100(1−	100(1−	NUM
ejpam-5788	518	11	υ)%	υ)%	NOUN
ejpam-5788	518	12	confidence	confidence	NOUN
ejpam-5788	518	13	interval	interval	NOUN
ejpam-5788	518	14	for	for	ADP
ejpam-5788	518	15	parameter	parameter	NOUN
ejpam-5788	518	16	(	(	PUNCT
ejpam-5788	518	17	θ	θ	PROPN
ejpam-5788	518	18	,	,	PUNCT
ejpam-5788	518	19	σ	σ	PROPN
ejpam-5788	518	20	,	,	PUNCT
ejpam-5788	518	21	λ	λ	NOUN
ejpam-5788	518	22	)	)	PUNCT
ejpam-5788	518	23	can	can	AUX
ejpam-5788	518	24	be	be	AUX
ejpam-5788	518	25	composed	compose	VERB
ejpam-5788	518	26	in	in	ADP
ejpam-5788	518	27	the	the	DET
ejpam-5788	518	28	following	follow	VERB
ejpam-5788	518	29	form	form	NOUN
ejpam-5788	518	30	,	,	PUNCT
ejpam-5788	518	31	(	(	PUNCT
ejpam-5788	518	32	θ̂[(b−m)υ	θ̂[(b−m)υ	ADJ
ejpam-5788	518	33	2	2	NUM
ejpam-5788	518	34	]	]	PUNCT
ejpam-5788	518	35	,	,	PUNCT
ejpam-5788	518	36	θ̂[(b−m	θ̂[(b−m	NOUN
ejpam-5788	518	37	)	)	PUNCT
ejpam-5788	518	38	(	(	PUNCT
ejpam-5788	518	39	1−υ	1−υ	NUM
ejpam-5788	518	40	2	2	NUM
ejpam-5788	518	41	)	)	PUNCT
ejpam-5788	518	42	]	]	PUNCT
ejpam-5788	518	43	)	)	PUNCT
ejpam-5788	518	44	,	,	PUNCT
ejpam-5788	518	45	(	(	PUNCT
ejpam-5788	518	46	σ̂[(b−m)υ	σ̂[(b−m)υ	NOUN
ejpam-5788	518	47	2	2	NUM
ejpam-5788	518	48	]	]	PUNCT
ejpam-5788	518	49	,	,	PUNCT
ejpam-5788	518	50	σ̂[(b−m	σ̂[(b−m	NOUN
ejpam-5788	518	51	)	)	PUNCT
ejpam-5788	518	52	(	(	PUNCT
ejpam-5788	518	53	1−υ	1−υ	NUM
ejpam-5788	518	54	2	2	NUM
ejpam-5788	518	55	)	)	PUNCT
ejpam-5788	518	56	]	]	PUNCT
ejpam-5788	518	57	)	)	PUNCT
ejpam-5788	518	58	,	,	PUNCT
ejpam-5788	518	59	and	and	CCONJ
ejpam-5788	518	60	(	(	PUNCT
ejpam-5788	518	61	λ̂[(b−m)υ	λ̂[(b−m)υ	VERB
ejpam-5788	518	62	2	2	NUM
ejpam-5788	518	63	]	]	PUNCT
ejpam-5788	518	64	,	,	PUNCT
ejpam-5788	518	65	λ̂[(b−m	λ̂[(b−m	NOUN
ejpam-5788	518	66	)	)	PUNCT
ejpam-5788	518	67	(	(	PUNCT
ejpam-5788	518	68	1−υ	1−υ	NUM
ejpam-5788	518	69	2	2	NUM
ejpam-5788	518	70	)	)	PUNCT
ejpam-5788	518	71	]	]	PUNCT
ejpam-5788	518	72	)	)	PUNCT
ejpam-5788	518	73	where	where	SCONJ
ejpam-5788	518	74	[	[	X
ejpam-5788	518	75	(	(	PUNCT
ejpam-5788	518	76	b	b	NOUN
ejpam-5788	518	77	−m)υ2	−m)υ2	NOUN
ejpam-5788	518	78	]	]	PUNCT
ejpam-5788	518	79	represents	represent	VERB
ejpam-5788	518	80	the	the	DET
ejpam-5788	518	81	maximum	maximum	ADJ
ejpam-5788	518	82	integer	integer	NOUN
ejpam-5788	518	83	less	less	ADJ
ejpam-5788	518	84	than	than	ADP
ejpam-5788	518	85	(	(	PUNCT
ejpam-5788	518	86	b	b	NOUN
ejpam-5788	518	87	−m)υ2	−m)υ2	NOUN
ejpam-5788	518	88	;	;	PUNCT
ejpam-5788	518	89	similarly	similarly	ADV
ejpam-5788	518	90	,	,	PUNCT
ejpam-5788	518	91	[	[	X
ejpam-5788	518	92	(	(	PUNCT
ejpam-5788	518	93	b	b	X
ejpam-5788	518	94	−	−	PROPN
ejpam-5788	518	95	m)(1−υ	m)(1−υ	PROPN
ejpam-5788	518	96	2	2	NUM
ejpam-5788	518	97	)	)	PUNCT
ejpam-5788	518	98	]	]	PUNCT
ejpam-5788	518	99	represents	represent	VERB
ejpam-5788	518	100	the	the	DET
ejpam-5788	518	101	maximum	maximum	ADJ
ejpam-5788	518	102	integer	integer	NOUN
ejpam-5788	518	103	less	less	ADJ
ejpam-5788	518	104	than	than	ADP
ejpam-5788	518	105	[	[	X
ejpam-5788	518	106	(	(	PUNCT
ejpam-5788	518	107	b	b	NOUN
ejpam-5788	518	108	−	−	PROPN
ejpam-5788	518	109	m)(1−υ	m)(1−υ	PROPN
ejpam-5788	518	110	2	2	NUM
ejpam-5788	518	111	)	)	PUNCT
ejpam-5788	518	112	]	]	PUNCT
ejpam-5788	518	113	.	.	PUNCT
ejpam-5788	519	1	repeat	repeat	VERB
ejpam-5788	519	2	the	the	DET
ejpam-5788	519	3	above	above	ADJ
ejpam-5788	519	4	steps	step	NOUN
ejpam-5788	519	5	m∗	m∗	NOUN
ejpam-5788	519	6	times	time	NOUN
ejpam-5788	519	7	to	to	PART
ejpam-5788	519	8	obtain	obtain	VERB
ejpam-5788	519	9	m∗	m∗	NOUN
ejpam-5788	519	10	interval	interval	NOUN
ejpam-5788	519	11	estimates	estimate	NOUN
ejpam-5788	519	12	with	with	ADP
ejpam-5788	519	13	the	the	DET
ejpam-5788	519	14	form	form	NOUN
ejpam-5788	519	15	above	above	ADV
ejpam-5788	519	16	,	,	PUNCT
ejpam-5788	519	17	from	from	ADP
ejpam-5788	519	18	which	which	PRON
ejpam-5788	519	19	the	the	DET
ejpam-5788	519	20	interval	interval	NOUN
ejpam-5788	519	21	with	with	ADP
ejpam-5788	519	22	the	the	DET
ejpam-5788	519	23	smallest	small	ADJ
ejpam-5788	519	24	length	length	NOUN
ejpam-5788	519	25	is	be	AUX
ejpam-5788	519	26	selected	select	VERB
ejpam-5788	519	27	as	as	ADP
ejpam-5788	519	28	the	the	DET
ejpam-5788	519	29	highest	high	ADJ
ejpam-5788	519	30	posterior	posterior	ADJ
ejpam-5788	519	31	density	density	NOUN
ejpam-5788	519	32	credible	credible	ADJ
ejpam-5788	519	33	interval	interval	NOUN
ejpam-5788	519	34	.	.	PUNCT
ejpam-5788	520	1	a.	a.	NOUN
ejpam-5788	520	2	a.	a.	PROPN
ejpam-5788	520	3	soliman	soliman	PROPN
ejpam-5788	520	4	et	et	PROPN
ejpam-5788	520	5	al	al	PROPN
ejpam-5788	520	6	.	.	PUNCT
ejpam-5788	520	7	/	/	SYM
ejpam-5788	520	8	eur	eur	PROPN
ejpam-5788	520	9	.	.	PUNCT
ejpam-5788	521	1	j.	j.	PROPN
ejpam-5788	521	2	pure	pure	PROPN
ejpam-5788	521	3	appl	appl	PROPN
ejpam-5788	521	4	.	.	PROPN
ejpam-5788	521	5	math	math	PROPN
ejpam-5788	521	6	,	,	PUNCT
ejpam-5788	521	7	18	18	NUM
ejpam-5788	521	8	(	(	PUNCT
ejpam-5788	521	9	2	2	NUM
ejpam-5788	521	10	)	)	PUNCT
ejpam-5788	521	11	(	(	PUNCT
ejpam-5788	521	12	2025	2025	NUM
ejpam-5788	521	13	)	)	PUNCT
ejpam-5788	521	14	,	,	PUNCT
ejpam-5788	521	15	5788	5788	NUM
ejpam-5788	521	16	19	19	NUM
ejpam-5788	521	17	of	of	ADP
ejpam-5788	521	18	34	34	NUM
ejpam-5788	521	19	3	3	NUM
ejpam-5788	521	20	.	.	PUNCT
ejpam-5788	521	21	numerical	numerical	PROPN
ejpam-5788	521	22	application	application	PROPN
ejpam-5788	521	23	3.1	3.1	NUM
ejpam-5788	521	24	.	.	PUNCT
ejpam-5788	522	1	monte	monte	PROPN
ejpam-5788	522	2	carlo	carlo	PROPN
ejpam-5788	522	3	simulations	simulation	NOUN
ejpam-5788	522	4	to	to	PART
ejpam-5788	522	5	investigate	investigate	VERB
ejpam-5788	522	6	the	the	DET
ejpam-5788	522	7	effectiveness	effectiveness	NOUN
ejpam-5788	522	8	of	of	ADP
ejpam-5788	522	9	frequentest	frequent	ADJ
ejpam-5788	522	10	and	and	CCONJ
ejpam-5788	522	11	bayesian	bayesian	NOUN
ejpam-5788	522	12	estimations	estimation	NOUN
ejpam-5788	522	13	produced	produce	VERB
ejpam-5788	522	14	in	in	ADP
ejpam-5788	522	15	the	the	DET
ejpam-5788	522	16	preceding	precede	VERB
ejpam-5788	522	17	sections	section	NOUN
ejpam-5788	522	18	,	,	PUNCT
ejpam-5788	522	19	monte	monte	PROPN
ejpam-5788	522	20	carlo	carlo	PROPN
ejpam-5788	522	21	simulations	simulation	NOUN
ejpam-5788	522	22	were	be	AUX
ejpam-5788	522	23	carried	carry	VERB
ejpam-5788	522	24	out	out	ADP
ejpam-5788	522	25	.	.	PUNCT
ejpam-5788	523	1	we	we	PRON
ejpam-5788	523	2	compare	compare	VERB
ejpam-5788	523	3	the	the	DET
ejpam-5788	523	4	efficacy	efficacy	NOUN
ejpam-5788	523	5	of	of	ADP
ejpam-5788	523	6	different	different	ADJ
ejpam-5788	523	7	estimators	estimator	NOUN
ejpam-5788	523	8	and	and	CCONJ
ejpam-5788	523	9	confidence	confidence	NOUN
ejpam-5788	523	10	intervals	interval	NOUN
ejpam-5788	523	11	of	of	ADP
ejpam-5788	523	12	the	the	DET
ejpam-5788	523	13	npt	npt	PROPN
ejpam-5788	523	14	parameters	parameter	NOUN
ejpam-5788	523	15	(	(	PUNCT
ejpam-5788	523	16	θ	θ	PROPN
ejpam-5788	523	17	,	,	PUNCT
ejpam-5788	523	18	σ	σ	NOUN
ejpam-5788	523	19	)	)	PUNCT
ejpam-5788	523	20	and	and	CCONJ
ejpam-5788	523	21	the	the	DET
ejpam-5788	523	22	acceleration	acceleration	NOUN
ejpam-5788	523	23	factor	factor	NOUN
ejpam-5788	523	24	λ	λ	PROPN
ejpam-5788	523	25	,	,	PUNCT
ejpam-5788	523	26	based	base	VERB
ejpam-5788	523	27	on	on	ADP
ejpam-5788	523	28	the	the	DET
ejpam-5788	523	29	true	true	ADJ
ejpam-5788	523	30	parameter	parameter	NOUN
ejpam-5788	523	31	values	value	NOUN
ejpam-5788	523	32	of	of	ADP
ejpam-5788	523	33	(	(	PUNCT
ejpam-5788	523	34	θ	θ	PROPN
ejpam-5788	523	35	,	,	PUNCT
ejpam-5788	523	36	σ	σ	PROPN
ejpam-5788	523	37	,	,	PUNCT
ejpam-5788	523	38	λ	λ	PROPN
ejpam-5788	523	39	)	)	PUNCT
ejpam-5788	523	40	,	,	PUNCT
ejpam-5788	523	41	namely	namely	ADV
ejpam-5788	523	42	set	set	VERB
ejpam-5788	523	43	1	1	NUM
ejpam-5788	523	44	:	:	PUNCT
ejpam-5788	523	45	(	(	PUNCT
ejpam-5788	523	46	0.5	0.5	NUM
ejpam-5788	523	47	,	,	PUNCT
ejpam-5788	523	48	0.5	0.5	NUM
ejpam-5788	523	49	,	,	PUNCT
ejpam-5788	523	50	1.3	1.3	NUM
ejpam-5788	523	51	)	)	PUNCT
ejpam-5788	523	52	and	and	CCONJ
ejpam-5788	523	53	set	set	VERB
ejpam-5788	523	54	2	2	NUM
ejpam-5788	523	55	:	:	PUNCT
ejpam-5788	523	56	(	(	PUNCT
ejpam-5788	523	57	1.0	1.0	NUM
ejpam-5788	523	58	,	,	PUNCT
ejpam-5788	523	59	1.0	1.0	NUM
ejpam-5788	523	60	,	,	PUNCT
ejpam-5788	523	61	2.0	2.0	NUM
ejpam-5788	523	62	)	)	PUNCT
ejpam-5788	523	63	.	.	PUNCT
ejpam-5788	524	1	we	we	PRON
ejpam-5788	524	2	generate	generate	VERB
ejpam-5788	524	3	1000	1000	NUM
ejpam-5788	524	4	type	type	NOUN
ejpam-5788	524	5	-	-	PUNCT
ejpam-5788	524	6	i	i	PRON
ejpam-5788	524	7	ghcs	ghcs	VERB
ejpam-5788	524	8	based	base	VERB
ejpam-5788	524	9	on	on	ADP
ejpam-5788	524	10	various	various	ADJ
ejpam-5788	524	11	choices	choice	NOUN
ejpam-5788	524	12	of	of	ADP
ejpam-5788	524	13	(	(	PUNCT
ejpam-5788	524	14	nj	nj	PROPN
ejpam-5788	524	15	,	,	PUNCT
ejpam-5788	524	16	(	(	PUNCT
ejpam-5788	524	17	lj	lj	INTJ
ejpam-5788	524	18	,	,	PUNCT
ejpam-5788	524	19	mj	mj	PROPN
ejpam-5788	524	20	)	)	PUNCT
ejpam-5788	524	21	,	,	PUNCT
ejpam-5788	524	22	t	t	PROPN
ejpam-5788	524	23	)	)	PUNCT
ejpam-5788	524	24	,	,	PUNCT
ejpam-5788	524	25	j	j	PROPN
ejpam-5788	525	1	=	=	SYM
ejpam-5788	525	2	1	1	NUM
ejpam-5788	525	3	,	,	PUNCT
ejpam-5788	525	4	2	2	NUM
ejpam-5788	525	5	.	.	PUNCT
ejpam-5788	526	1	the	the	DET
ejpam-5788	526	2	sample	sample	NOUN
ejpam-5788	526	3	size	size	NOUN
ejpam-5788	526	4	(	(	PUNCT
ejpam-5788	526	5	nj	nj	PROPN
ejpam-5788	526	6	,	,	PUNCT
ejpam-5788	526	7	(	(	PUNCT
ejpam-5788	526	8	lj	lj	INTJ
ejpam-5788	526	9	,	,	PUNCT
ejpam-5788	526	10	mj	mj	PROPN
ejpam-5788	526	11	)	)	PUNCT
ejpam-5788	526	12	,	,	PUNCT
ejpam-5788	526	13	t	t	PROPN
ejpam-5788	526	14	)	)	PUNCT
ejpam-5788	526	15	is	be	AUX
ejpam-5788	526	16	fixed	fix	VERB
ejpam-5788	526	17	from	from	ADP
ejpam-5788	526	18	the	the	DET
ejpam-5788	526	19	data	datum	NOUN
ejpam-5788	526	20	under	under	ADP
ejpam-5788	526	21	type	type	NOUN
ejpam-5788	526	22	-	-	PUNCT
ejpam-5788	526	23	i	i	PRON
ejpam-5788	526	24	ghcs	ghcs	VERB
ejpam-5788	526	25	and	and	CCONJ
ejpam-5788	526	26	is	be	AUX
ejpam-5788	526	27	set	set	VERB
ejpam-5788	526	28	to	to	ADP
ejpam-5788	526	29	(	(	PUNCT
ejpam-5788	526	30	n1	n1	NOUN
ejpam-5788	526	31	,	,	PUNCT
ejpam-5788	526	32	n2	n2	ADJ
ejpam-5788	526	33	)	)	PUNCT
ejpam-5788	526	34	=	=	PUNCT
ejpam-5788	526	35	(	(	PUNCT
ejpam-5788	526	36	30	30	NUM
ejpam-5788	526	37	,	,	PUNCT
ejpam-5788	526	38	40	40	NUM
ejpam-5788	526	39	)	)	PUNCT
ejpam-5788	526	40	,	,	PUNCT
ejpam-5788	526	41	(	(	PUNCT
ejpam-5788	526	42	50	50	NUM
ejpam-5788	526	43	,	,	PUNCT
ejpam-5788	526	44	60	60	NUM
ejpam-5788	526	45	)	)	PUNCT
ejpam-5788	526	46	,	,	PUNCT
ejpam-5788	526	47	(	(	PUNCT
ejpam-5788	526	48	70	70	NUM
ejpam-5788	526	49	,	,	PUNCT
ejpam-5788	526	50	80	80	NUM
ejpam-5788	526	51	)	)	PUNCT
ejpam-5788	526	52	with	with	ADP
ejpam-5788	526	53	three	three	NUM
ejpam-5788	526	54	sets	set	NOUN
ejpam-5788	526	55	of	of	ADP
ejpam-5788	526	56	fixed	fix	VERB
ejpam-5788	526	57	numbers	number	NOUN
ejpam-5788	526	58	(	(	PUNCT
ejpam-5788	526	59	l1,m1	l1,m1	PROPN
ejpam-5788	526	60	)	)	PUNCT
ejpam-5788	526	61	=	=	PUNCT
ejpam-5788	527	1	(	(	PUNCT
ejpam-5788	527	2	15	15	NUM
ejpam-5788	527	3	,	,	PUNCT
ejpam-5788	527	4	25	25	NUM
ejpam-5788	527	5	)	)	PUNCT
ejpam-5788	527	6	,	,	PUNCT
ejpam-5788	527	7	(	(	PUNCT
ejpam-5788	527	8	35	35	NUM
ejpam-5788	527	9	,	,	PUNCT
ejpam-5788	527	10	45	45	NUM
ejpam-5788	527	11	)	)	PUNCT
ejpam-5788	527	12	,	,	PUNCT
ejpam-5788	527	13	(	(	PUNCT
ejpam-5788	527	14	55	55	NUM
ejpam-5788	527	15	,	,	PUNCT
ejpam-5788	527	16	65	65	NUM
ejpam-5788	527	17	)	)	PUNCT
ejpam-5788	527	18	,	,	PUNCT
ejpam-5788	527	19	(	(	PUNCT
ejpam-5788	527	20	l2,m2	l2,m2	PROPN
ejpam-5788	527	21	)	)	PUNCT
ejpam-5788	528	1	=	=	PUNCT
ejpam-5788	528	2	(	(	PUNCT
ejpam-5788	528	3	20	20	NUM
ejpam-5788	528	4	,	,	PUNCT
ejpam-5788	528	5	35	35	NUM
ejpam-5788	528	6	)	)	PUNCT
ejpam-5788	528	7	,	,	PUNCT
ejpam-5788	528	8	(	(	PUNCT
ejpam-5788	528	9	40	40	NUM
ejpam-5788	528	10	,	,	PUNCT
ejpam-5788	528	11	55	55	NUM
ejpam-5788	528	12	)	)	PUNCT
ejpam-5788	528	13	,	,	PUNCT
ejpam-5788	528	14	(	(	PUNCT
ejpam-5788	528	15	60	60	NUM
ejpam-5788	528	16	,	,	PUNCT
ejpam-5788	528	17	75	75	NUM
ejpam-5788	528	18	)	)	PUNCT
ejpam-5788	528	19	and	and	CCONJ
ejpam-5788	528	20	t	t	X
ejpam-5788	528	21	=	=	NUM
ejpam-5788	528	22	5.0	5.0	NUM
ejpam-5788	528	23	,	,	PUNCT
ejpam-5788	528	24	7.0	7.0	NUM
ejpam-5788	528	25	presented	present	VERB
ejpam-5788	528	26	respectively	respectively	ADV
ejpam-5788	528	27	for	for	ADP
ejpam-5788	528	28	each	each	DET
ejpam-5788	528	29	size	size	NOUN
ejpam-5788	528	30	.	.	PUNCT
ejpam-5788	529	1	the	the	DET
ejpam-5788	529	2	process	process	NOUN
ejpam-5788	529	3	of	of	ADP
ejpam-5788	529	4	generating	generate	VERB
ejpam-5788	529	5	the	the	DET
ejpam-5788	529	6	type	type	NOUN
ejpam-5788	529	7	-	-	PUNCT
ejpam-5788	529	8	i	i	PRON
ejpam-5788	529	9	ghcs	ghcs	PROPN
ejpam-5788	529	10	data	datum	NOUN
ejpam-5788	529	11	is	be	AUX
ejpam-5788	529	12	shown	show	VERB
ejpam-5788	529	13	in	in	ADP
ejpam-5788	529	14	algo.(3	algo.(3	PROPN
ejpam-5788	529	15	)	)	PUNCT
ejpam-5788	529	16	.	.	PUNCT
ejpam-5788	530	1	algorithm	algorithm	PROPN
ejpam-5788	530	2	3	3	NUM
ejpam-5788	530	3	.	.	PUNCT
ejpam-5788	530	4	steps	step	NOUN
ejpam-5788	530	5	for	for	ADP
ejpam-5788	530	6	generating	generate	VERB
ejpam-5788	530	7	type	type	NOUN
ejpam-5788	530	8	-	-	PUNCT
ejpam-5788	530	9	i	i	NOUN
ejpam-5788	530	10	ghcs	ghc	VERB
ejpam-5788	530	11	datasets	dataset	NOUN
ejpam-5788	530	12	.	.	PUNCT
ejpam-5788	531	1	step	step	NOUN
ejpam-5788	531	2	1	1	NUM
ejpam-5788	531	3	:	:	PUNCT
ejpam-5788	531	4	create	create	VERB
ejpam-5788	531	5	nj	nj	PROPN
ejpam-5788	531	6	independent	independent	ADJ
ejpam-5788	531	7	variables	variable	NOUN
ejpam-5788	531	8	ϵj	ϵj	INTJ
ejpam-5788	532	1	=	=	PUNCT
ejpam-5788	532	2	(	(	PUNCT
ejpam-5788	532	3	ϵj1	ϵj1	PROPN
ejpam-5788	532	4	,	,	PUNCT
ejpam-5788	532	5	ϵj2	ϵj2	PROPN
ejpam-5788	532	6	,	,	PUNCT
ejpam-5788	532	7	.	.	PUNCT
ejpam-5788	532	8	.	.	PUNCT
ejpam-5788	532	9	.	.	PUNCT
ejpam-5788	533	1	,	,	PUNCT
ejpam-5788	533	2	ϵjnj	ϵjnj	PROPN
ejpam-5788	533	3	)	)	PUNCT
ejpam-5788	533	4	from	from	ADP
ejpam-5788	533	5	uniform(0	uniform(0	NOUN
ejpam-5788	533	6	,	,	PUNCT
ejpam-5788	533	7	1	1	NUM
ejpam-5788	533	8	)	)	PUNCT
ejpam-5788	533	9	distribution	distribution	NOUN
ejpam-5788	533	10	,	,	PUNCT
ejpam-5788	533	11	j	j	PROPN
ejpam-5788	533	12	=	=	SYM
ejpam-5788	533	13	1	1	NUM
ejpam-5788	533	14	,	,	PUNCT
ejpam-5788	533	15	2	2	NUM
ejpam-5788	533	16	.	.	NOUN
ejpam-5788	533	17	step	step	NOUN
ejpam-5788	533	18	2	2	NUM
ejpam-5788	533	19	:	:	PUNCT
ejpam-5788	533	20	for	for	ADP
ejpam-5788	533	21	given	give	VERB
ejpam-5788	533	22	lj	lj	PROPN
ejpam-5788	533	23	,	,	PUNCT
ejpam-5788	533	24	mj	mj	PROPN
ejpam-5788	533	25	,	,	PUNCT
ejpam-5788	533	26	t	t	PROPN
ejpam-5788	533	27	,	,	PUNCT
ejpam-5788	533	28	set	set	VERB
ejpam-5788	533	29	dj	dj	NOUN
ejpam-5788	533	30	,	,	PUNCT
ejpam-5788	533	31	j	j	PROPN
ejpam-5788	533	32	=	=	SYM
ejpam-5788	533	33	1	1	NUM
ejpam-5788	533	34	,	,	PUNCT
ejpam-5788	533	35	2	2	NUM
ejpam-5788	533	36	as	as	ADP
ejpam-5788	533	37	;	;	PUNCT
ejpam-5788	533	38	dj	dj	X
ejpam-5788	533	39	=	=	PUNCT
ejpam-5788	534	1			NOUN
ejpam-5788	534	2	lj	lj	INTJ
ejpam-5788	535	1	if	if	SCONJ
ejpam-5788	535	2	t	t	PROPN
ejpam-5788	535	3	<	<	X
ejpam-5788	535	4	lj	lj	PROPN
ejpam-5788	535	5	d∗j	d∗j	NUM
ejpam-5788	535	6	if	if	SCONJ
ejpam-5788	535	7	lj	lj	PROPN
ejpam-5788	535	8	≤	≤	X
ejpam-5788	536	1	t	t	PROPN
ejpam-5788	536	2	<	<	X
ejpam-5788	536	3	mj	mj	PROPN
ejpam-5788	536	4	mj	mj	PROPN
ejpam-5788	536	5	if	if	SCONJ
ejpam-5788	536	6	t	t	PROPN
ejpam-5788	536	7	≥	≥	PROPN
ejpam-5788	536	8	mj	mj	PROPN
ejpam-5788	536	9	step	step	NOUN
ejpam-5788	536	10	3	3	NUM
ejpam-5788	536	11	:	:	PUNCT
ejpam-5788	536	12	record	record	VERB
ejpam-5788	536	13	the	the	DET
ejpam-5788	536	14	type	type	NOUN
ejpam-5788	536	15	-	-	PUNCT
ejpam-5788	536	16	i	i	PRON
ejpam-5788	536	17	ghcs	ghcs	VERB
ejpam-5788	536	18	data	datum	NOUN
ejpam-5788	536	19	as	as	ADP
ejpam-5788	536	20	xj	xj	PROPN
ejpam-5788	536	21	=	=	SYM
ejpam-5788	536	22	(	(	PUNCT
ejpam-5788	536	23	xj1	xj1	PROPN
ejpam-5788	536	24	,	,	PUNCT
ejpam-5788	536	25	xj2	xj2	PROPN
ejpam-5788	536	26	,	,	PUNCT
ejpam-5788	536	27	.	.	PUNCT
ejpam-5788	536	28	.	.	PUNCT
ejpam-5788	536	29	.	.	PUNCT
ejpam-5788	537	1	,	,	PUNCT
ejpam-5788	537	2	xjdj	xjdj	PROPN
ejpam-5788	537	3	)	)	PUNCT
ejpam-5788	537	4	,	,	PUNCT
ejpam-5788	537	5	j	j	PROPN
ejpam-5788	537	6	=	=	SYM
ejpam-5788	537	7	1	1	NUM
ejpam-5788	537	8	,	,	PUNCT
ejpam-5788	537	9	2	2	NUM
ejpam-5788	537	10	,	,	PUNCT
ejpam-5788	537	11	are	be	AUX
ejpam-5788	537	12	derived	derive	VERB
ejpam-5788	537	13	by	by	ADP
ejpam-5788	537	14	the	the	DET
ejpam-5788	537	15	inverse	inverse	NOUN
ejpam-5788	537	16	function	function	NOUN
ejpam-5788	537	17	method;x1	method;x1	PROPN
ejpam-5788	537	18	=	=	PROPN
ejpam-5788	537	19	σ	σ	PROPN
ejpam-5788	537	20	(	(	PUNCT
ejpam-5788	537	21	1+ϵ1	1+ϵ1	NUM
ejpam-5788	537	22	1−ϵ1	1−ϵ1	NUM
ejpam-5788	537	23	)	)	PUNCT
ejpam-5788	537	24	1	1	NUM
ejpam-5788	537	25	/	/	SYM
ejpam-5788	537	26	θ	θ	NOUN
ejpam-5788	537	27	x2	x2	PROPN
ejpam-5788	537	28	=	=	SYM
ejpam-5788	537	29	σ	σ	PROPN
ejpam-5788	537	30	(	(	PUNCT
ejpam-5788	537	31	2	2	NUM
ejpam-5788	537	32	(	(	PUNCT
ejpam-5788	537	33	1−ϵ2)1	1−ϵ2)1	NUM
ejpam-5788	537	34	/	/	SYM
ejpam-5788	537	35	λ	λ	NOUN
ejpam-5788	537	36	−	−	NOUN
ejpam-5788	537	37	1	1	NUM
ejpam-5788	537	38	)	)	SYM
ejpam-5788	537	39	1	1	NUM
ejpam-5788	537	40	/	/	SYM
ejpam-5788	537	41	θ	θ	NOUN
ejpam-5788	537	42	once	once	SCONJ
ejpam-5788	537	43	the	the	DET
ejpam-5788	537	44	samples	sample	NOUN
ejpam-5788	537	45	have	have	AUX
ejpam-5788	537	46	been	be	AUX
ejpam-5788	537	47	generated	generate	VERB
ejpam-5788	537	48	,	,	PUNCT
ejpam-5788	537	49	using	use	VERB
ejpam-5788	537	50	r	r	NOUN
ejpam-5788	537	51	(	(	PUNCT
ejpam-5788	537	52	4.1.3	4.1.3	NUM
ejpam-5788	537	53	)	)	PUNCT
ejpam-5788	537	54	software	software	NOUN
ejpam-5788	537	55	with	with	ADP
ejpam-5788	537	56	the	the	DET
ejpam-5788	537	57	”	"	PUNCT
ejpam-5788	537	58	maxlik	maxlik	NOUN
ejpam-5788	537	59	”	"	PUNCT
ejpam-5788	537	60	package	package	NOUN
ejpam-5788	537	61	introduced	introduce	VERB
ejpam-5788	537	62	by	by	ADP
ejpam-5788	537	63	ref.[41	ref.[41	NOUN
ejpam-5788	537	64	]	]	PUNCT
ejpam-5788	537	65	,	,	PUNCT
ejpam-5788	537	66	we	we	PRON
ejpam-5788	537	67	obtain	obtain	VERB
ejpam-5788	537	68	the	the	DET
ejpam-5788	537	69	mles	mle	NOUN
ejpam-5788	537	70	of	of	ADP
ejpam-5788	537	71	parameters	parameter	NOUN
ejpam-5788	537	72	(	(	PUNCT
ejpam-5788	537	73	θ	θ	PROPN
ejpam-5788	537	74	,	,	PUNCT
ejpam-5788	537	75	σ	σ	PROPN
ejpam-5788	537	76	,	,	PUNCT
ejpam-5788	537	77	λ	λ	PROPN
ejpam-5788	537	78	)	)	PUNCT
ejpam-5788	537	79	based	base	VERB
ejpam-5788	537	80	on	on	ADP
ejpam-5788	537	81	both	both	PRON
ejpam-5788	537	82	nr	nr	PROPN
ejpam-5788	537	83	and	and	CCONJ
ejpam-5788	537	84	em	em	PRON
ejpam-5788	537	85	algorithm	algorithm	NOUN
ejpam-5788	537	86	methods	method	NOUN
ejpam-5788	537	87	.	.	PUNCT
ejpam-5788	538	1	we	we	PRON
ejpam-5788	538	2	set	set	VERB
ejpam-5788	538	3	the	the	DET
ejpam-5788	538	4	real	real	ADJ
ejpam-5788	538	5	values	value	NOUN
ejpam-5788	538	6	of	of	ADP
ejpam-5788	538	7	the	the	DET
ejpam-5788	538	8	parameters	parameter	NOUN
ejpam-5788	538	9	(	(	PUNCT
ejpam-5788	538	10	θ	θ	PROPN
ejpam-5788	538	11	,	,	PUNCT
ejpam-5788	538	12	σ	σ	PROPN
ejpam-5788	538	13	,	,	PUNCT
ejpam-5788	538	14	λ	λ	PROPN
ejpam-5788	538	15	)	)	PUNCT
ejpam-5788	538	16	as	as	ADP
ejpam-5788	538	17	the	the	DET
ejpam-5788	538	18	initial	initial	ADJ
ejpam-5788	538	19	guesses	guess	NOUN
ejpam-5788	538	20	of	of	ADP
ejpam-5788	538	21	em	em	PRON
ejpam-5788	538	22	algorithm	algorithm	NOUN
ejpam-5788	538	23	and	and	CCONJ
ejpam-5788	538	24	the	the	DET
ejpam-5788	538	25	convergence	convergence	NOUN
ejpam-5788	538	26	is	be	AUX
ejpam-5788	538	27	assumed	assume	VERB
ejpam-5788	538	28	when	when	SCONJ
ejpam-5788	538	29	the	the	DET
ejpam-5788	538	30	absolute	absolute	ADJ
ejpam-5788	538	31	differences	difference	NOUN
ejpam-5788	538	32	between	between	ADP
ejpam-5788	538	33	the	the	DET
ejpam-5788	538	34	successive	successive	ADJ
ejpam-5788	538	35	estimates	estimate	NOUN
ejpam-5788	538	36	are	be	AUX
ejpam-5788	538	37	less	less	ADJ
ejpam-5788	538	38	than	than	ADP
ejpam-5788	538	39	10−5	10−5	NUM
ejpam-5788	538	40	.	.	PUNCT
ejpam-5788	539	1	we	we	PRON
ejpam-5788	539	2	computed	compute	VERB
ejpam-5788	539	3	the	the	DET
ejpam-5788	539	4	100(1−	100(1−	NUM
ejpam-5788	539	5	υ)%	υ)%	NOUN
ejpam-5788	539	6	confidence	confidence	NOUN
ejpam-5788	539	7	intervals	interval	NOUN
ejpam-5788	539	8	(	(	PUNCT
ejpam-5788	539	9	cis	cis	NOUN
ejpam-5788	539	10	)	)	PUNCT
ejpam-5788	539	11	for	for	ADP
ejpam-5788	539	12	(	(	PUNCT
ejpam-5788	539	13	θ	θ	PROPN
ejpam-5788	539	14	,	,	PUNCT
ejpam-5788	539	15	σ	σ	PROPN
ejpam-5788	539	16	,	,	PUNCT
ejpam-5788	539	17	λ	λ	PROPN
ejpam-5788	539	18	)	)	PUNCT
ejpam-5788	539	19	based	base	VERB
ejpam-5788	539	20	on	on	ADP
ejpam-5788	539	21	the	the	DET
ejpam-5788	539	22	asymptotic	asymptotic	ADJ
ejpam-5788	539	23	normal	normal	ADJ
ejpam-5788	539	24	distribution	distribution	NOUN
ejpam-5788	539	25	of	of	ADP
ejpam-5788	539	26	the	the	DET
ejpam-5788	539	27	mles	mle	NOUN
ejpam-5788	539	28	.	.	PUNCT
ejpam-5788	540	1	we	we	PRON
ejpam-5788	540	2	have	have	AUX
ejpam-5788	540	3	also	also	ADV
ejpam-5788	540	4	computed	compute	VERB
ejpam-5788	540	5	normal	normal	ADJ
ejpam-5788	540	6	bootstrap	bootstrap	NOUN
ejpam-5788	540	7	(	(	PUNCT
ejpam-5788	540	8	n	n	CCONJ
ejpam-5788	540	9	-	-	PUNCT
ejpam-5788	540	10	boot	boot	NOUN
ejpam-5788	540	11	)	)	PUNCT
ejpam-5788	540	12	confidence	confidence	NOUN
ejpam-5788	540	13	intervals	interval	NOUN
ejpam-5788	540	14	as	as	ADV
ejpam-5788	540	15	well	well	ADV
ejpam-5788	540	16	.	.	PUNCT
ejpam-5788	541	1	we	we	PRON
ejpam-5788	541	2	have	have	AUX
ejpam-5788	541	3	reported	report	VERB
ejpam-5788	541	4	the	the	DET
ejpam-5788	541	5	als	als	NOUN
ejpam-5788	541	6	and	and	CCONJ
ejpam-5788	541	7	the	the	DET
ejpam-5788	541	8	cps	cp	NOUN
ejpam-5788	541	9	in	in	ADP
ejpam-5788	541	10	each	each	DET
ejpam-5788	541	11	case	case	NOUN
ejpam-5788	541	12	.	.	PUNCT
ejpam-5788	542	1	what	what	PRON
ejpam-5788	542	2	’s	’	VERB
ejpam-5788	542	3	more	more	ADJ
ejpam-5788	542	4	,	,	PUNCT
ejpam-5788	542	5	for	for	SCONJ
ejpam-5788	542	6	the	the	DET
ejpam-5788	542	7	numbers	number	NOUN
ejpam-5788	542	8	of	of	ADP
ejpam-5788	542	9	bootstrap	bootstrap	NOUN
ejpam-5788	542	10	re	re	NOUN
ejpam-5788	542	11	-	-	NOUN
ejpam-5788	542	12	sampling	sampling	NOUN
ejpam-5788	542	13	,	,	PUNCT
ejpam-5788	542	14	we	we	PRON
ejpam-5788	542	15	set	set	VERB
ejpam-5788	542	16	it	it	PRON
ejpam-5788	542	17	as	as	ADV
ejpam-5788	542	18	b∗	b∗	ADV
ejpam-5788	542	19	=	=	SYM
ejpam-5788	542	20	1000	1000	NUM
ejpam-5788	542	21	.	.	PUNCT
ejpam-5788	543	1	for	for	ADP
ejpam-5788	543	2	comparing	compare	VERB
ejpam-5788	543	3	the	the	DET
ejpam-5788	543	4	performance	performance	NOUN
ejpam-5788	543	5	of	of	ADP
ejpam-5788	543	6	the	the	DET
ejpam-5788	543	7	a.	a.	NOUN
ejpam-5788	543	8	a.	a.	PROPN
ejpam-5788	543	9	soliman	soliman	PROPN
ejpam-5788	543	10	et	et	PROPN
ejpam-5788	543	11	al	al	PROPN
ejpam-5788	543	12	.	.	PUNCT
ejpam-5788	543	13	/	/	SYM
ejpam-5788	543	14	eur	eur	PROPN
ejpam-5788	543	15	.	.	PUNCT
ejpam-5788	544	1	j.	j.	PROPN
ejpam-5788	544	2	pure	pure	PROPN
ejpam-5788	544	3	appl	appl	PROPN
ejpam-5788	544	4	.	.	PROPN
ejpam-5788	544	5	math	math	PROPN
ejpam-5788	544	6	,	,	PUNCT
ejpam-5788	544	7	18	18	NUM
ejpam-5788	544	8	(	(	PUNCT
ejpam-5788	544	9	2	2	NUM
ejpam-5788	544	10	)	)	PUNCT
ejpam-5788	544	11	(	(	PUNCT
ejpam-5788	544	12	2025	2025	NUM
ejpam-5788	544	13	)	)	PUNCT
ejpam-5788	544	14	,	,	PUNCT
ejpam-5788	544	15	5788	5788	NUM
ejpam-5788	544	16	20	20	NUM
ejpam-5788	544	17	of	of	ADP
ejpam-5788	544	18	34	34	NUM
ejpam-5788	544	19	bayesian	bayesian	NOUN
ejpam-5788	544	20	estimates	estimate	NOUN
ejpam-5788	544	21	,	,	PUNCT
ejpam-5788	544	22	the	the	DET
ejpam-5788	544	23	associated	associated	ADJ
ejpam-5788	544	24	values	value	NOUN
ejpam-5788	544	25	of	of	ADP
ejpam-5788	544	26	the	the	DET
ejpam-5788	544	27	hyper	hyper	NOUN
ejpam-5788	544	28	-	-	NOUN
ejpam-5788	544	29	parameters	parameter	NOUN
ejpam-5788	544	30	(	(	PUNCT
ejpam-5788	544	31	a	a	PRON
ejpam-5788	544	32	,	,	PUNCT
ejpam-5788	544	33	b	b	NOUN
ejpam-5788	544	34	,	,	PUNCT
ejpam-5788	544	35	c	c	NOUN
ejpam-5788	544	36	,	,	PUNCT
ejpam-5788	544	37	d	d	NOUN
ejpam-5788	544	38	)	)	PUNCT
ejpam-5788	544	39	were	be	AUX
ejpam-5788	544	40	taken	take	VERB
ejpam-5788	544	41	as	as	ADP
ejpam-5788	544	42	(	(	PUNCT
ejpam-5788	544	43	0.02	0.02	NUM
ejpam-5788	544	44	,	,	PUNCT
ejpam-5788	544	45	1.0	1.0	NUM
ejpam-5788	544	46	,	,	PUNCT
ejpam-5788	544	47	4.0	4.0	NUM
ejpam-5788	544	48	,	,	PUNCT
ejpam-5788	544	49	2.0	2.0	NUM
ejpam-5788	544	50	)	)	PUNCT
ejpam-5788	544	51	and	and	CCONJ
ejpam-5788	544	52	,	,	PUNCT
ejpam-5788	544	53	(	(	PUNCT
ejpam-5788	544	54	0.05	0.05	NUM
ejpam-5788	544	55	,	,	PUNCT
ejpam-5788	544	56	2.0	2.0	NUM
ejpam-5788	544	57	,	,	PUNCT
ejpam-5788	544	58	6.0	6.0	NUM
ejpam-5788	544	59	,	,	PUNCT
ejpam-5788	544	60	3.0	3.0	NUM
ejpam-5788	544	61	)	)	PUNCT
ejpam-5788	544	62	for	for	ADP
ejpam-5788	544	63	the	the	DET
ejpam-5788	544	64	given	give	VERB
ejpam-5788	544	65	sets	set	NOUN
ejpam-5788	544	66	1	1	NUM
ejpam-5788	544	67	and	and	CCONJ
ejpam-5788	544	68	2	2	NUM
ejpam-5788	544	69	,	,	PUNCT
ejpam-5788	544	70	respectively	respectively	ADV
ejpam-5788	544	71	.	.	PUNCT
ejpam-5788	545	1	the	the	DET
ejpam-5788	545	2	m	m	PROPN
ejpam-5788	545	3	-	-	NOUN
ejpam-5788	545	4	h	h	NOUN
ejpam-5788	545	5	within	within	ADP
ejpam-5788	545	6	the	the	DET
ejpam-5788	545	7	gibbs	gibbs	PROPN
ejpam-5788	545	8	algorithm	algorithm	NOUN
ejpam-5788	545	9	given	give	VERB
ejpam-5788	545	10	in	in	ADP
ejpam-5788	545	11	subs	sub	NOUN
ejpam-5788	545	12	.	.	PUNCT
ejpam-5788	546	1	(	(	PUNCT
ejpam-5788	546	2	2.2.3	2.2.3	X
ejpam-5788	546	3	)	)	PUNCT
ejpam-5788	546	4	is	be	AUX
ejpam-5788	546	5	used	use	VERB
ejpam-5788	546	6	to	to	PART
ejpam-5788	546	7	obtain	obtain	VERB
ejpam-5788	546	8	bayesian	bayesian	NOUN
ejpam-5788	546	9	estimates	estimate	NOUN
ejpam-5788	546	10	.	.	PUNCT
ejpam-5788	547	1	for	for	ADP
ejpam-5788	547	2	this	this	DET
ejpam-5788	547	3	algorithm	algorithm	NOUN
ejpam-5788	547	4	,	,	PUNCT
ejpam-5788	547	5	we	we	PRON
ejpam-5788	547	6	took	take	VERB
ejpam-5788	547	7	a	a	DET
ejpam-5788	547	8	normal	normal	ADJ
ejpam-5788	547	9	proposal	proposal	NOUN
ejpam-5788	547	10	density	density	NOUN
ejpam-5788	547	11	to	to	PART
ejpam-5788	547	12	generate	generate	VERB
ejpam-5788	547	13	θ	θ	PROPN
ejpam-5788	547	14	and	and	CCONJ
ejpam-5788	547	15	λ	λ	NOUN
ejpam-5788	547	16	from	from	ADP
ejpam-5788	547	17	eqs.(26	eqs.(26	PROPN
ejpam-5788	547	18	)	)	PUNCT
ejpam-5788	547	19	and	and	CCONJ
ejpam-5788	547	20	(	(	PUNCT
ejpam-5788	547	21	28	28	NUM
ejpam-5788	547	22	)	)	PUNCT
ejpam-5788	547	23	,	,	PUNCT
ejpam-5788	547	24	a	a	DET
ejpam-5788	547	25	power	power	NOUN
ejpam-5788	547	26	function	function	NOUN
ejpam-5788	547	27	distribution	distribution	NOUN
ejpam-5788	547	28	to	to	PART
ejpam-5788	547	29	generate	generate	VERB
ejpam-5788	547	30	σ	σ	PROPN
ejpam-5788	547	31	from	from	ADP
ejpam-5788	547	32	eq.(27	eq.(27	PROPN
ejpam-5788	547	33	)	)	PUNCT
ejpam-5788	547	34	,	,	PUNCT
ejpam-5788	547	35	using	use	VERB
ejpam-5788	547	36	the	the	DET
ejpam-5788	547	37	‘	'	PUNCT
ejpam-5788	547	38	coda	coda	NOUN
ejpam-5788	547	39	’	'	PUNCT
ejpam-5788	547	40	package	package	NOUN
ejpam-5788	547	41	proposed	propose	VERB
ejpam-5788	547	42	by	by	ADP
ejpam-5788	547	43	ref.[42	ref.[42	NOUN
ejpam-5788	547	44	]	]	PUNCT
ejpam-5788	547	45	,	,	PUNCT
ejpam-5788	547	46	and	and	CCONJ
ejpam-5788	547	47	we	we	PRON
ejpam-5788	547	48	take	take	VERB
ejpam-5788	547	49	into	into	ADP
ejpam-5788	547	50	account	account	NOUN
ejpam-5788	547	51	the	the	DET
ejpam-5788	547	52	mles	mle	NOUN
ejpam-5788	547	53	as	as	ADP
ejpam-5788	547	54	initial	initial	ADJ
ejpam-5788	547	55	guess	guess	NOUN
ejpam-5788	547	56	values	value	NOUN
ejpam-5788	547	57	.	.	PUNCT
ejpam-5788	548	1	we	we	PRON
ejpam-5788	548	2	generate	generate	VERB
ejpam-5788	548	3	b	b	NOUN
ejpam-5788	548	4	=	=	SYM
ejpam-5788	548	5	11	11	NUM
ejpam-5788	548	6	,	,	PUNCT
ejpam-5788	548	7	000	000	NUM
ejpam-5788	548	8	mcmc	mcmc	NOUN
ejpam-5788	548	9	samples	sample	NOUN
ejpam-5788	548	10	and	and	CCONJ
ejpam-5788	548	11	discard	discard	VERB
ejpam-5788	548	12	the	the	DET
ejpam-5788	548	13	first	first	ADJ
ejpam-5788	548	14	m	m	NOUN
ejpam-5788	548	15	=	=	SYM
ejpam-5788	548	16	1000	1000	NUM
ejpam-5788	548	17	values	value	NOUN
ejpam-5788	548	18	as	as	ADP
ejpam-5788	548	19	burn	burn	NOUN
ejpam-5788	548	20	-	-	PUNCT
ejpam-5788	548	21	in	in	ADP
ejpam-5788	548	22	period	period	NOUN
ejpam-5788	548	23	as	as	SCONJ
ejpam-5788	548	24	described	describe	VERB
ejpam-5788	548	25	in	in	ADP
ejpam-5788	548	26	subs	sub	NOUN
ejpam-5788	548	27	.	.	PUNCT
ejpam-5788	549	1	(	(	PUNCT
ejpam-5788	549	2	2.2.3	2.2.3	NUM
ejpam-5788	549	3	)	)	PUNCT
ejpam-5788	549	4	.	.	PUNCT
ejpam-5788	550	1	the	the	DET
ejpam-5788	550	2	last	last	ADJ
ejpam-5788	550	3	10	10	NUM
ejpam-5788	550	4	,	,	PUNCT
ejpam-5788	550	5	000	000	NUM
ejpam-5788	550	6	markov	markov	NOUN
ejpam-5788	550	7	chains	chain	NOUN
ejpam-5788	550	8	are	be	AUX
ejpam-5788	550	9	used	use	VERB
ejpam-5788	550	10	to	to	PART
ejpam-5788	550	11	establish	establish	VERB
ejpam-5788	550	12	the	the	DET
ejpam-5788	550	13	empirical	empirical	ADJ
ejpam-5788	550	14	distribution	distribution	NOUN
ejpam-5788	550	15	to	to	PART
ejpam-5788	550	16	estimate	estimate	VERB
ejpam-5788	550	17	the	the	DET
ejpam-5788	550	18	posterior	posterior	ADJ
ejpam-5788	550	19	distribution	distribution	NOUN
ejpam-5788	550	20	of	of	ADP
ejpam-5788	550	21	(	(	PUNCT
ejpam-5788	550	22	θ	θ	PROPN
ejpam-5788	550	23	,	,	PUNCT
ejpam-5788	550	24	σ	σ	PROPN
ejpam-5788	550	25	,	,	PUNCT
ejpam-5788	550	26	λ	λ	PROPN
ejpam-5788	550	27	)	)	PUNCT
ejpam-5788	550	28	.	.	PUNCT
ejpam-5788	551	1	consequently	consequently	ADV
ejpam-5788	551	2	,	,	PUNCT
ejpam-5788	551	3	the	the	DET
ejpam-5788	551	4	bayes	bayes	NOUN
ejpam-5788	551	5	estimates	estimate	VERB
ejpam-5788	551	6	under	under	ADP
ejpam-5788	551	7	the	the	DET
ejpam-5788	551	8	specified	specify	VERB
ejpam-5788	551	9	squared	square	VERB
ejpam-5788	551	10	error	error	NOUN
ejpam-5788	551	11	(	(	PUNCT
ejpam-5788	551	12	se	se	X
ejpam-5788	551	13	)	)	PUNCT
ejpam-5788	551	14	and	and	CCONJ
ejpam-5788	551	15	linear	linear	PROPN
ejpam-5788	551	16	exponential	exponential	NOUN
ejpam-5788	551	17	(	(	PUNCT
ejpam-5788	551	18	linex	linex	ADJ
ejpam-5788	551	19	)	)	PUNCT
ejpam-5788	551	20	loss	loss	NOUN
ejpam-5788	551	21	functions	function	NOUN
ejpam-5788	551	22	must	must	AUX
ejpam-5788	551	23	be	be	AUX
ejpam-5788	551	24	rigorously	rigorously	ADV
ejpam-5788	551	25	derived	derive	VERB
ejpam-5788	551	26	from	from	ADP
ejpam-5788	551	27	the	the	DET
ejpam-5788	551	28	empirical	empirical	ADJ
ejpam-5788	551	29	posterior	posterior	ADJ
ejpam-5788	551	30	distribution	distribution	NOUN
ejpam-5788	551	31	of	of	ADP
ejpam-5788	551	32	(	(	PUNCT
ejpam-5788	551	33	θ	θ	PROPN
ejpam-5788	551	34	,	,	PUNCT
ejpam-5788	551	35	σ	σ	PROPN
ejpam-5788	551	36	,	,	PUNCT
ejpam-5788	551	37	λ	λ	PROPN
ejpam-5788	551	38	)	)	PUNCT
ejpam-5788	551	39	.	.	PUNCT
ejpam-5788	552	1	furthermore	furthermore	ADV
ejpam-5788	552	2	,	,	PUNCT
ejpam-5788	552	3	the	the	DET
ejpam-5788	552	4	100(1	100(1	NUM
ejpam-5788	552	5	−	−	NOUN
ejpam-5788	552	6	υ)%	υ)%	NOUN
ejpam-5788	552	7	credible	credible	ADJ
ejpam-5788	552	8	intervals	interval	NOUN
ejpam-5788	552	9	for	for	ADP
ejpam-5788	552	10	(	(	PUNCT
ejpam-5788	552	11	θ	θ	PROPN
ejpam-5788	552	12	,	,	PUNCT
ejpam-5788	552	13	σ	σ	PROPN
ejpam-5788	552	14	,	,	PUNCT
ejpam-5788	552	15	λ	λ	NOUN
ejpam-5788	552	16	)	)	PUNCT
ejpam-5788	552	17	must	must	AUX
ejpam-5788	552	18	be	be	AUX
ejpam-5788	552	19	precisely	precisely	ADV
ejpam-5788	552	20	computed	compute	VERB
ejpam-5788	552	21	by	by	ADP
ejpam-5788	552	22	extracting	extract	VERB
ejpam-5788	552	23	the	the	DET
ejpam-5788	552	24	two	two	NUM
ejpam-5788	552	25	symmetric	symmetric	ADJ
ejpam-5788	552	26	quantiles	quantile	NOUN
ejpam-5788	552	27	from	from	ADP
ejpam-5788	552	28	the	the	DET
ejpam-5788	552	29	same	same	ADJ
ejpam-5788	552	30	empirical	empirical	ADJ
ejpam-5788	552	31	posterior	posterior	ADJ
ejpam-5788	552	32	distribution	distribution	NOUN
ejpam-5788	552	33	of	of	ADP
ejpam-5788	552	34	(	(	PUNCT
ejpam-5788	552	35	θ	θ	PROPN
ejpam-5788	552	36	,	,	PUNCT
ejpam-5788	552	37	σ	σ	PROPN
ejpam-5788	552	38	,	,	PUNCT
ejpam-5788	552	39	λ	λ	PROPN
ejpam-5788	552	40	)	)	PUNCT
ejpam-5788	552	41	,	,	PUNCT
ejpam-5788	552	42	respectively	respectively	ADV
ejpam-5788	552	43	.	.	PUNCT
ejpam-5788	553	1	for	for	ADP
ejpam-5788	553	2	evaluating	evaluate	VERB
ejpam-5788	553	3	the	the	DET
ejpam-5788	553	4	bayes	bayes	NOUN
ejpam-5788	553	5	estimators	estimator	NOUN
ejpam-5788	553	6	under	under	ADP
ejpam-5788	553	7	linex	linex	ADJ
ejpam-5788	553	8	loss	loss	NOUN
ejpam-5788	553	9	function	function	NOUN
ejpam-5788	553	10	we	we	PRON
ejpam-5788	553	11	take	take	VERB
ejpam-5788	553	12	h∗	h∗	NOUN
ejpam-5788	553	13	=	=	SYM
ejpam-5788	553	14	(	(	PUNCT
ejpam-5788	553	15	−0.8	−0.8	PROPN
ejpam-5788	553	16	,	,	PUNCT
ejpam-5788	553	17	0.8	0.8	NUM
ejpam-5788	553	18	)	)	PUNCT
ejpam-5788	553	19	.	.	PUNCT
ejpam-5788	554	1	also	also	ADV
ejpam-5788	554	2	,	,	PUNCT
ejpam-5788	554	3	als	al	NOUN
ejpam-5788	554	4	and	and	CCONJ
ejpam-5788	554	5	the	the	DET
ejpam-5788	554	6	cps	cp	NOUN
ejpam-5788	554	7	of	of	ADP
ejpam-5788	554	8	bayesian	bayesian	NOUN
ejpam-5788	554	9	credible	credible	ADJ
ejpam-5788	554	10	intervals	interval	NOUN
ejpam-5788	554	11	are	be	AUX
ejpam-5788	554	12	calculated	calculate	VERB
ejpam-5788	554	13	.	.	PUNCT
ejpam-5788	555	1	the	the	DET
ejpam-5788	555	2	interval	interval	NOUN
ejpam-5788	555	3	estimates	estimate	NOUN
ejpam-5788	555	4	are	be	AUX
ejpam-5788	555	5	computed	compute	VERB
ejpam-5788	555	6	using	use	VERB
ejpam-5788	555	7	the	the	DET
ejpam-5788	555	8	nominal	nominal	ADJ
ejpam-5788	555	9	υ	υ	NOUN
ejpam-5788	555	10	=	=	NOUN
ejpam-5788	555	11	0.05	0.05	NUM
ejpam-5788	555	12	significance	significance	NOUN
ejpam-5788	555	13	level	level	NOUN
ejpam-5788	555	14	in	in	ADP
ejpam-5788	555	15	each	each	DET
ejpam-5788	555	16	case	case	NOUN
ejpam-5788	555	17	and	and	CCONJ
ejpam-5788	555	18	the	the	DET
ejpam-5788	555	19	performances	performance	NOUN
ejpam-5788	555	20	of	of	ADP
ejpam-5788	555	21	different	different	ADJ
ejpam-5788	555	22	estimation	estimation	NOUN
ejpam-5788	555	23	methods	method	NOUN
ejpam-5788	555	24	are	be	AUX
ejpam-5788	555	25	compared	compare	VERB
ejpam-5788	555	26	based	base	VERB
ejpam-5788	555	27	on	on	ADP
ejpam-5788	555	28	1000	1000	NUM
ejpam-5788	555	29	replications	replication	NOUN
ejpam-5788	555	30	.	.	PUNCT
ejpam-5788	556	1	a	a	DET
ejpam-5788	556	2	comparison	comparison	NOUN
ejpam-5788	556	3	of	of	ADP
ejpam-5788	556	4	several	several	ADJ
ejpam-5788	556	5	point	point	NOUN
ejpam-5788	556	6	estimations	estimation	NOUN
ejpam-5788	556	7	of	of	ADP
ejpam-5788	556	8	φj	φj	NOUN
ejpam-5788	556	9	,	,	PUNCT
ejpam-5788	556	10	j	j	PROPN
ejpam-5788	556	11	=	=	SYM
ejpam-5788	556	12	1	1	NUM
ejpam-5788	556	13	,	,	PUNCT
ejpam-5788	556	14	2	2	NUM
ejpam-5788	556	15	,	,	PUNCT
ejpam-5788	556	16	3	3	NUM
ejpam-5788	556	17	,	,	PUNCT
ejpam-5788	556	18	where	where	SCONJ
ejpam-5788	556	19	φ1	φ1	NOUN
ejpam-5788	556	20	=	=	SYM
ejpam-5788	556	21	θ	θ	PROPN
ejpam-5788	556	22	,	,	PUNCT
ejpam-5788	556	23	φ2	φ2	NOUN
ejpam-5788	556	24	=	=	SYM
ejpam-5788	556	25	σ	σ	PROPN
ejpam-5788	556	26	,	,	PUNCT
ejpam-5788	556	27	and	and	CCONJ
ejpam-5788	556	28	φ3	φ3	PROPN
ejpam-5788	556	29	=	=	SYM
ejpam-5788	556	30	λ	λ	PROPN
ejpam-5788	556	31	,	,	PUNCT
ejpam-5788	556	32	is	be	AUX
ejpam-5788	556	33	then	then	ADV
ejpam-5788	556	34	made	make	VERB
ejpam-5788	556	35	based	base	VERB
ejpam-5788	556	36	on	on	ADP
ejpam-5788	556	37	two	two	NUM
ejpam-5788	556	38	different	different	ADJ
ejpam-5788	556	39	criteria	criterion	NOUN
ejpam-5788	556	40	,	,	PUNCT
ejpam-5788	556	41	namely	namely	ADV
ejpam-5788	556	42	average	average	ADJ
ejpam-5788	556	43	values	value	NOUN
ejpam-5788	556	44	(	(	PUNCT
ejpam-5788	556	45	avg	avg	NOUN
ejpam-5788	556	46	)	)	PUNCT
ejpam-5788	556	47	and	and	CCONJ
ejpam-5788	556	48	mean	mean	ADJ
ejpam-5788	556	49	-	-	PUNCT
ejpam-5788	556	50	square	square	ADJ
ejpam-5788	556	51	errors	error	NOUN
ejpam-5788	556	52	(	(	PUNCT
ejpam-5788	556	53	mses	ms	NOUN
ejpam-5788	556	54	)	)	PUNCT
ejpam-5788	556	55	,	,	PUNCT
ejpam-5788	556	56	by	by	ADP
ejpam-5788	556	57	the	the	DET
ejpam-5788	556	58	following	follow	VERB
ejpam-5788	556	59	formulae	formulae	NOUN
ejpam-5788	556	60	;	;	PUNCT
ejpam-5788	556	61	avg	avg	NOUN
ejpam-5788	556	62	=	=	SYM
ejpam-5788	556	63	(	(	PUNCT
ejpam-5788	556	64	n∗)−1	n∗)−1	NOUN
ejpam-5788	556	65	n∗∑	n∗∑	ADJ
ejpam-5788	556	66	i=1	i=1	PROPN
ejpam-5788	556	67	φ̂	φ̂	PUNCT
ejpam-5788	556	68	(	(	PUNCT
ejpam-5788	556	69	i	i	NOUN
ejpam-5788	556	70	)	)	PUNCT
ejpam-5788	556	71	j	j	PROPN
ejpam-5788	556	72	and	and	CCONJ
ejpam-5788	556	73	mse	mse	PROPN
ejpam-5788	556	74	=	=	SYM
ejpam-5788	556	75	(	(	PUNCT
ejpam-5788	556	76	n∗)−1	n∗)−1	NOUN
ejpam-5788	556	77	n∗∑	n∗∑	ADJ
ejpam-5788	556	78	i=1	i=1	PROPN
ejpam-5788	556	79	(	(	PUNCT
ejpam-5788	556	80	φ̂	φ̂	X
ejpam-5788	556	81	(	(	PUNCT
ejpam-5788	556	82	i	i	NOUN
ejpam-5788	556	83	)	)	PUNCT
ejpam-5788	556	84	j	j	PROPN
ejpam-5788	557	1	−	−	PROPN
ejpam-5788	557	2	φj	φj	PROPN
ejpam-5788	557	3	)	)	PUNCT
ejpam-5788	557	4	2	2	NUM
ejpam-5788	557	5	.	.	PUNCT
ejpam-5788	558	1	respectively	respectively	ADV
ejpam-5788	558	2	,	,	PUNCT
ejpam-5788	558	3	where	where	SCONJ
ejpam-5788	558	4	n∗	n∗	PROPN
ejpam-5788	558	5	is	be	AUX
ejpam-5788	558	6	the	the	DET
ejpam-5788	558	7	number	number	NOUN
ejpam-5788	558	8	of	of	ADP
ejpam-5788	558	9	generated	generate	VERB
ejpam-5788	558	10	sequence	sequence	NOUN
ejpam-5788	558	11	data	datum	NOUN
ejpam-5788	558	12	,	,	PUNCT
ejpam-5788	558	13	and	and	CCONJ
ejpam-5788	558	14	φ̂	φ̂	NUM
ejpam-5788	558	15	(	(	PUNCT
ejpam-5788	558	16	i	i	PRON
ejpam-5788	558	17	)	)	PUNCT
ejpam-5788	558	18	j	j	PROPN
ejpam-5788	558	19	denotes	denote	VERB
ejpam-5788	558	20	the	the	DET
ejpam-5788	558	21	calculated	calculated	ADJ
ejpam-5788	558	22	estimate	estimate	NOUN
ejpam-5788	558	23	at	at	ADP
ejpam-5788	558	24	the	the	DET
ejpam-5788	558	25	ith	ith	PROPN
ejpam-5788	558	26	sample	sample	NOUN
ejpam-5788	558	27	of	of	ADP
ejpam-5788	558	28	φj	φj	PROPN
ejpam-5788	558	29	,	,	PUNCT
ejpam-5788	558	30	j	j	PROPN
ejpam-5788	558	31	=	=	SYM
ejpam-5788	558	32	1	1	NUM
ejpam-5788	558	33	,	,	PUNCT
ejpam-5788	558	34	2	2	NUM
ejpam-5788	558	35	,	,	PUNCT
ejpam-5788	558	36	3	3	NUM
ejpam-5788	558	37	.	.	PUNCT
ejpam-5788	558	38	additionally	additionally	ADV
ejpam-5788	558	39	,	,	PUNCT
ejpam-5788	558	40	the	the	DET
ejpam-5788	558	41	evaluation	evaluation	NOUN
ejpam-5788	558	42	of	of	ADP
ejpam-5788	558	43	various	various	ADJ
ejpam-5788	558	44	interval	interval	NOUN
ejpam-5788	558	45	estimates	estimate	NOUN
ejpam-5788	558	46	of	of	ADP
ejpam-5788	558	47	φj	φj	PROPN
ejpam-5788	558	48	,	,	PUNCT
ejpam-5788	558	49	j	j	PROPN
ejpam-5788	559	1	=	=	SYM
ejpam-5788	559	2	1	1	NUM
ejpam-5788	559	3	,	,	PUNCT
ejpam-5788	559	4	2	2	NUM
ejpam-5788	559	5	,	,	PUNCT
ejpam-5788	559	6	3	3	NUM
ejpam-5788	559	7	is	be	AUX
ejpam-5788	559	8	determined	determine	VERB
ejpam-5788	559	9	by	by	ADP
ejpam-5788	559	10	two	two	NUM
ejpam-5788	559	11	other	other	ADJ
ejpam-5788	559	12	standards	standard	NOUN
ejpam-5788	559	13	,	,	PUNCT
ejpam-5788	559	14	namely	namely	ADV
ejpam-5788	559	15	the	the	DET
ejpam-5788	559	16	average	average	ADJ
ejpam-5788	559	17	confidence	confidence	NOUN
ejpam-5788	559	18	lengths	length	NOUN
ejpam-5788	559	19	(	(	PUNCT
ejpam-5788	559	20	acls	acls	PROPN
ejpam-5788	559	21	)	)	PUNCT
ejpam-5788	559	22	and	and	CCONJ
ejpam-5788	559	23	coverage	coverage	NOUN
ejpam-5788	559	24	percentages	percentage	NOUN
ejpam-5788	559	25	(	(	PUNCT
ejpam-5788	559	26	cps	cps	PROPN
ejpam-5788	559	27	)	)	PUNCT
ejpam-5788	559	28	,	,	PUNCT
ejpam-5788	559	29	by	by	ADP
ejpam-5788	559	30	the	the	DET
ejpam-5788	559	31	following	follow	VERB
ejpam-5788	559	32	formulae	formulae	NOUN
ejpam-5788	559	33	;	;	PUNCT
ejpam-5788	559	34	acl(1−υ)%(φp	acl(1−υ)%(φp	ADJ
ejpam-5788	559	35	)	)	PUNCT
ejpam-5788	559	36	=	=	SYM
ejpam-5788	559	37	(	(	PUNCT
ejpam-5788	559	38	n∗)−1	n∗)−1	NOUN
ejpam-5788	559	39	∑n∗	∑n∗	NOUN
ejpam-5788	559	40	i=1	i=1	PROPN
ejpam-5788	560	1	(	(	PUNCT
ejpam-5788	560	2	u∗	u∗	INTJ
ejpam-5788	560	3	φ̂	φ̂	PUNCT
ejpam-5788	560	4	(	(	PUNCT
ejpam-5788	560	5	i	i	NOUN
ejpam-5788	560	6	)	)	PUNCT
ejpam-5788	561	1	p	p	PRON
ejpam-5788	562	1	−	−	PROPN
ejpam-5788	563	1	l∗	l∗	PROPN
ejpam-5788	563	2	φ̂	φ̂	NUM
ejpam-5788	563	3	(	(	PUNCT
ejpam-5788	563	4	i	i	NOUN
ejpam-5788	563	5	)	)	PUNCT
ejpam-5788	563	6	p	p	NOUN
ejpam-5788	563	7	)	)	PUNCT
ejpam-5788	563	8	and	and	CCONJ
ejpam-5788	563	9	cp(1−υ)%(φp	cp(1−υ)%(φp	NOUN
ejpam-5788	563	10	)	)	PUNCT
ejpam-5788	563	11	=	=	SYM
ejpam-5788	563	12	(	(	PUNCT
ejpam-5788	563	13	n∗)−1	n∗)−1	NOUN
ejpam-5788	563	14	∑n∗	∑n∗	PROPN
ejpam-5788	563	15	i=11	i=11	PROPN
ejpam-5788	563	16	(	(	PUNCT
ejpam-5788	563	17	l∗	l∗	PROPN
ejpam-5788	563	18	φ̂	φ̂	NUM
ejpam-5788	563	19	(	(	PUNCT
ejpam-5788	563	20	i	i	NOUN
ejpam-5788	563	21	)	)	PUNCT
ejpam-5788	563	22	p	p	X
ejpam-5788	563	23	;	;	PUNCT
ejpam-5788	563	24	u∗	u∗	ADV
ejpam-5788	563	25	φ̂	φ̂	PUNCT
ejpam-5788	563	26	(	(	PUNCT
ejpam-5788	563	27	i	i	NOUN
ejpam-5788	563	28	)	)	PUNCT
ejpam-5788	563	29	p	p	NOUN
ejpam-5788	563	30	)	)	PUNCT
ejpam-5788	563	31	(	(	PUNCT
ejpam-5788	563	32	φp	φp	NOUN
ejpam-5788	563	33	)	)	PUNCT
ejpam-5788	563	34	.	.	PUNCT
ejpam-5788	564	1	respectively	respectively	ADV
ejpam-5788	564	2	,	,	PUNCT
ejpam-5788	564	3	where	where	SCONJ
ejpam-5788	564	4	1	1	NUM
ejpam-5788	564	5	(	(	PUNCT
ejpam-5788	564	6	·	·	PUNCT
ejpam-5788	564	7	)	)	PUNCT
ejpam-5788	564	8	is	be	AUX
ejpam-5788	564	9	the	the	DET
ejpam-5788	564	10	indicator	indicator	NOUN
ejpam-5788	564	11	function	function	NOUN
ejpam-5788	564	12	,	,	PUNCT
ejpam-5788	564	13	and	and	CCONJ
ejpam-5788	564	14	(	(	PUNCT
ejpam-5788	564	15	l∗	l∗	PROPN
ejpam-5788	564	16	(	(	PUNCT
ejpam-5788	564	17	·	·	PUNCT
ejpam-5788	564	18	)	)	PUNCT
ejpam-5788	564	19	,	,	PUNCT
ejpam-5788	564	20	u	u	NOUN
ejpam-5788	564	21	∗	∗	NOUN
ejpam-5788	564	22	(	(	PUNCT
ejpam-5788	564	23	·	·	PUNCT
ejpam-5788	564	24	)	)	PUNCT
ejpam-5788	564	25	)	)	PUNCT
ejpam-5788	564	26	are	be	AUX
ejpam-5788	564	27	the	the	DET
ejpam-5788	564	28	lower	low	ADJ
ejpam-5788	564	29	and	and	CCONJ
ejpam-5788	564	30	upper	upper	ADJ
ejpam-5788	564	31	bounds	bound	NOUN
ejpam-5788	564	32	of	of	ADP
ejpam-5788	564	33	asymptotic	asymptotic	ADJ
ejpam-5788	564	34	(	(	PUNCT
ejpam-5788	564	35	or	or	CCONJ
ejpam-5788	564	36	credible	credible	ADJ
ejpam-5788	564	37	)	)	PUNCT
ejpam-5788	564	38	interval	interval	NOUN
ejpam-5788	564	39	estimates	estimate	NOUN
ejpam-5788	564	40	.	.	PUNCT
ejpam-5788	565	1	the	the	DET
ejpam-5788	565	2	results	result	NOUN
ejpam-5788	565	3	of	of	ADP
ejpam-5788	565	4	the	the	DET
ejpam-5788	565	5	avg	avg	PROPN
ejpam-5788	565	6	,	,	PUNCT
ejpam-5788	565	7	mses	ms	NOUN
ejpam-5788	565	8	,	,	PUNCT
ejpam-5788	565	9	als	als	NOUN
ejpam-5788	565	10	and	and	CCONJ
ejpam-5788	565	11	cps	cp	NOUN
ejpam-5788	565	12	for	for	ADP
ejpam-5788	565	13	the	the	DET
ejpam-5788	565	14	bayes	bayes	PROPN
ejpam-5788	565	15	estimates	estimate	VERB
ejpam-5788	565	16	for	for	ADP
ejpam-5788	565	17	(	(	PUNCT
ejpam-5788	565	18	θ	θ	PROPN
ejpam-5788	565	19	,	,	PUNCT
ejpam-5788	565	20	σ	σ	PROPN
ejpam-5788	565	21	,	,	PUNCT
ejpam-5788	565	22	λ	λ	NOUN
ejpam-5788	565	23	)	)	PUNCT
ejpam-5788	565	24	are	be	AUX
ejpam-5788	565	25	strictly	strictly	ADV
ejpam-5788	565	26	presented	present	VERB
ejpam-5788	565	27	in	in	ADP
ejpam-5788	565	28	tabs.(1)-(4	tabs.(1)-(4	PROPN
ejpam-5788	565	29	)	)	PUNCT
ejpam-5788	565	30	.	.	PUNCT
ejpam-5788	566	1	on	on	ADP
ejpam-5788	566	2	the	the	DET
ejpam-5788	566	3	basis	basis	NOUN
ejpam-5788	566	4	of	of	ADP
ejpam-5788	566	5	the	the	DET
ejpam-5788	566	6	results	result	NOUN
ejpam-5788	566	7	reported	report	VERB
ejpam-5788	566	8	in	in	ADP
ejpam-5788	566	9	tabs.(1)-(4	tabs.(1)-(4	PROPN
ejpam-5788	566	10	)	)	PUNCT
ejpam-5788	566	11	,	,	PUNCT
ejpam-5788	566	12	some	some	DET
ejpam-5788	566	13	points	point	NOUN
ejpam-5788	566	14	can	can	AUX
ejpam-5788	566	15	be	be	AUX
ejpam-5788	566	16	drawn	draw	VERB
ejpam-5788	566	17	which	which	PRON
ejpam-5788	566	18	are	be	AUX
ejpam-5788	566	19	stated	state	VERB
ejpam-5788	566	20	as	as	SCONJ
ejpam-5788	566	21	follows	follow	VERB
ejpam-5788	566	22	;	;	PUNCT
ejpam-5788	566	23	•	•	ADP
ejpam-5788	566	24	the	the	DET
ejpam-5788	566	25	proposed	propose	VERB
ejpam-5788	566	26	point	point	NOUN
ejpam-5788	566	27	(	(	PUNCT
ejpam-5788	566	28	or	or	CCONJ
ejpam-5788	566	29	interval	interval	NOUN
ejpam-5788	566	30	)	)	PUNCT
ejpam-5788	566	31	estimates	estimate	NOUN
ejpam-5788	566	32	of	of	ADP
ejpam-5788	566	33	θ	θ	PROPN
ejpam-5788	566	34	,	,	PUNCT
ejpam-5788	566	35	σ	σ	PROPN
ejpam-5788	566	36	and	and	CCONJ
ejpam-5788	566	37	λ	λ	PROPN
ejpam-5788	566	38	have	have	AUX
ejpam-5788	566	39	shown	show	VERB
ejpam-5788	566	40	good	good	ADJ
ejpam-5788	566	41	performance	performance	NOUN
ejpam-5788	566	42	based	base	VERB
ejpam-5788	566	43	on	on	ADP
ejpam-5788	566	44	given	give	VERB
ejpam-5788	566	45	true	true	ADJ
ejpam-5788	566	46	parameter	parameter	NOUN
ejpam-5788	566	47	set	set	NOUN
ejpam-5788	566	48	.	.	PUNCT
ejpam-5788	567	1	•	•	NUM
ejpam-5788	567	2	in	in	ADP
ejpam-5788	567	3	every	every	DET
ejpam-5788	567	4	instance	instance	NOUN
ejpam-5788	567	5	,	,	PUNCT
ejpam-5788	567	6	as	as	SCONJ
ejpam-5788	567	7	expected	expect	VERB
ejpam-5788	567	8	,	,	PUNCT
ejpam-5788	567	9	the	the	DET
ejpam-5788	567	10	estimation	estimation	NOUN
ejpam-5788	567	11	results	result	NOUN
ejpam-5788	567	12	are	be	AUX
ejpam-5788	567	13	satisfactory	satisfactory	ADJ
ejpam-5788	567	14	based	base	VERB
ejpam-5788	567	15	on	on	ADP
ejpam-5788	567	16	the	the	DET
ejpam-5788	567	17	avg	avg	NOUN
ejpam-5788	567	18	.	.	PUNCT
ejpam-5788	568	1	the	the	DET
ejpam-5788	568	2	mses	ms	NOUN
ejpam-5788	568	3	of	of	ADP
ejpam-5788	568	4	all	all	DET
ejpam-5788	568	5	estimates	estimate	NOUN
ejpam-5788	568	6	decrease	decrease	VERB
ejpam-5788	568	7	as	as	ADP
ejpam-5788	568	8	the	the	DET
ejpam-5788	568	9	sample	sample	NOUN
ejpam-5788	568	10	size	size	NOUN
ejpam-5788	568	11	increases	increase	NOUN
ejpam-5788	568	12	,	,	PUNCT
ejpam-5788	568	13	confirming	confirm	VERB
ejpam-5788	568	14	the	the	DET
ejpam-5788	568	15	consistency	consistency	NOUN
ejpam-5788	568	16	of	of	ADP
ejpam-5788	568	17	each	each	DET
ejpam-5788	568	18	estimation	estimation	NOUN
ejpam-5788	568	19	method	method	NOUN
ejpam-5788	568	20	.	.	PUNCT
ejpam-5788	569	1	a.	a.	PROPN
ejpam-5788	569	2	a.	a.	PROPN
ejpam-5788	569	3	soliman	soliman	PROPN
ejpam-5788	569	4	et	et	PROPN
ejpam-5788	569	5	al	al	PROPN
ejpam-5788	569	6	.	.	PUNCT
ejpam-5788	569	7	/	/	SYM
ejpam-5788	569	8	eur	eur	PROPN
ejpam-5788	569	9	.	.	PUNCT
ejpam-5788	570	1	j.	j.	PROPN
ejpam-5788	570	2	pure	pure	PROPN
ejpam-5788	570	3	appl	appl	PROPN
ejpam-5788	570	4	.	.	PROPN
ejpam-5788	570	5	math	math	PROPN
ejpam-5788	570	6	,	,	PUNCT
ejpam-5788	570	7	18	18	NUM
ejpam-5788	570	8	(	(	PUNCT
ejpam-5788	570	9	2	2	NUM
ejpam-5788	570	10	)	)	PUNCT
ejpam-5788	570	11	(	(	PUNCT
ejpam-5788	570	12	2025	2025	NUM
ejpam-5788	570	13	)	)	PUNCT
ejpam-5788	570	14	,	,	PUNCT
ejpam-5788	570	15	5788	5788	NUM
ejpam-5788	570	16	21	21	NUM
ejpam-5788	570	17	of	of	ADP
ejpam-5788	570	18	34	34	NUM
ejpam-5788	570	19	•	•	NOUN
ejpam-5788	570	20	the	the	DET
ejpam-5788	570	21	mles	mle	NOUN
ejpam-5788	570	22	of	of	ADP
ejpam-5788	570	23	θ	θ	PROPN
ejpam-5788	570	24	,	,	PUNCT
ejpam-5788	570	25	σ	σ	PROPN
ejpam-5788	570	26	and	and	CCONJ
ejpam-5788	570	27	λ	λ	NOUN
ejpam-5788	570	28	using	use	VERB
ejpam-5788	570	29	the	the	DET
ejpam-5788	570	30	em	em	PROPN
ejpam-5788	570	31	algorithm	algorithm	NOUN
ejpam-5788	570	32	have	have	VERB
ejpam-5788	570	33	smaller	small	ADJ
ejpam-5788	570	34	mses	ms	NOUN
ejpam-5788	570	35	than	than	ADP
ejpam-5788	570	36	the	the	DET
ejpam-5788	570	37	mles	mle	NOUN
ejpam-5788	570	38	using	use	VERB
ejpam-5788	570	39	the	the	DET
ejpam-5788	570	40	nr	nr	PROPN
ejpam-5788	570	41	algorithm	algorithm	NOUN
ejpam-5788	570	42	.	.	PUNCT
ejpam-5788	571	1	hence	hence	ADV
ejpam-5788	571	2	,	,	PUNCT
ejpam-5788	571	3	the	the	DET
ejpam-5788	571	4	mles	mle	NOUN
ejpam-5788	571	5	via	via	ADP
ejpam-5788	571	6	the	the	DET
ejpam-5788	571	7	em	em	PROPN
ejpam-5788	571	8	algorithm	algorithm	NOUN
ejpam-5788	571	9	perform	perform	VERB
ejpam-5788	571	10	better	well	ADV
ejpam-5788	571	11	than	than	ADP
ejpam-5788	571	12	those	those	PRON
ejpam-5788	571	13	obtained	obtain	VERB
ejpam-5788	571	14	by	by	ADP
ejpam-5788	571	15	the	the	DET
ejpam-5788	571	16	nr	nr	PROPN
ejpam-5788	571	17	method	method	NOUN
ejpam-5788	571	18	.	.	PUNCT
ejpam-5788	572	1	•	•	NUM
ejpam-5788	572	2	in	in	ADP
ejpam-5788	572	3	terms	term	NOUN
ejpam-5788	572	4	of	of	ADP
ejpam-5788	572	5	avg	avg	NOUN
ejpam-5788	572	6	and	and	CCONJ
ejpam-5788	572	7	mses	ms	NOUN
ejpam-5788	572	8	,	,	PUNCT
ejpam-5788	572	9	bayes	bayes	PROPN
ejpam-5788	572	10	estimation	estimation	NOUN
ejpam-5788	572	11	using	use	VERB
ejpam-5788	572	12	mcmc	mcmc	PROPN
ejpam-5788	572	13	performs	perform	VERB
ejpam-5788	572	14	better	well	ADJ
ejpam-5788	572	15	than	than	ADP
ejpam-5788	572	16	the	the	DET
ejpam-5788	572	17	other	other	ADJ
ejpam-5788	572	18	approaches	approach	NOUN
ejpam-5788	572	19	(	(	PUNCT
ejpam-5788	572	20	ml	ml	X
ejpam-5788	572	21	,	,	PUNCT
ejpam-5788	572	22	n	n	CCONJ
ejpam-5788	572	23	-	-	PUNCT
ejpam-5788	572	24	boot	boot	NOUN
ejpam-5788	572	25	)	)	PUNCT
ejpam-5788	572	26	.	.	PUNCT
ejpam-5788	573	1	•	•	NOUN
ejpam-5788	573	2	due	due	ADP
ejpam-5788	573	3	to	to	ADP
ejpam-5788	573	4	having	have	VERB
ejpam-5788	573	5	the	the	DET
ejpam-5788	573	6	smallest	small	ADJ
ejpam-5788	573	7	mse	mse	NOUN
ejpam-5788	573	8	and	and	CCONJ
ejpam-5788	573	9	narrowest	narrow	ADJ
ejpam-5788	573	10	width	width	NOUN
ejpam-5788	573	11	,	,	PUNCT
ejpam-5788	573	12	mcmc	mcmc	PROPN
ejpam-5788	573	13	cris	cris	PROPN
ejpam-5788	573	14	are	be	AUX
ejpam-5788	573	15	,	,	PUNCT
ejpam-5788	573	16	overall	overall	ADV
ejpam-5788	573	17	,	,	PUNCT
ejpam-5788	573	18	the	the	DET
ejpam-5788	573	19	most	most	ADV
ejpam-5788	573	20	satisfactory	satisfactory	ADJ
ejpam-5788	573	21	.	.	PUNCT
ejpam-5788	574	1	•	•	NUM
ejpam-5788	574	2	the	the	DET
ejpam-5788	574	3	improvement	improvement	NOUN
ejpam-5788	574	4	of	of	ADP
ejpam-5788	574	5	cps	cp	NOUN
ejpam-5788	574	6	and	and	CCONJ
ejpam-5788	574	7	cis	cis	NOUN
ejpam-5788	574	8	is	be	AUX
ejpam-5788	574	9	signifcant	signifcant	ADJ
ejpam-5788	574	10	with	with	ADP
ejpam-5788	574	11	increased	increase	VERB
ejpam-5788	574	12	total	total	ADJ
ejpam-5788	574	13	and	and	CCONJ
ejpam-5788	574	14	efective	efective	ADJ
ejpam-5788	574	15	sample	sample	NOUN
ejpam-5788	574	16	sizes	size	NOUN
ejpam-5788	574	17	.	.	PUNCT
ejpam-5788	575	1	•	•	NUM
ejpam-5788	575	2	the	the	DET
ejpam-5788	575	3	estimates	estimate	NOUN
ejpam-5788	575	4	produced	produce	VERB
ejpam-5788	575	5	by	by	ADP
ejpam-5788	575	6	the	the	DET
ejpam-5788	575	7	ml	ml	PROPN
ejpam-5788	575	8	,	,	PUNCT
ejpam-5788	575	9	bootstrap	bootstrap	NOUN
ejpam-5788	575	10	,	,	PUNCT
ejpam-5788	575	11	and	and	CCONJ
ejpam-5788	575	12	bayesian	bayesian	NOUN
ejpam-5788	575	13	approaches	approach	NOUN
ejpam-5788	575	14	are	be	AUX
ejpam-5788	575	15	highly	highly	ADV
ejpam-5788	575	16	similar	similar	ADJ
ejpam-5788	575	17	and	and	CCONJ
ejpam-5788	575	18	have	have	VERB
ejpam-5788	575	19	high	high	ADJ
ejpam-5788	575	20	cps	cp	NOUN
ejpam-5788	575	21	(	(	PUNCT
ejpam-5788	575	22	around	around	ADV
ejpam-5788	575	23	0.95	0.95	NUM
ejpam-5788	575	24	)	)	PUNCT
ejpam-5788	575	25	.	.	PUNCT
ejpam-5788	576	1	•	•	NOUN
ejpam-5788	576	2	in	in	ADP
ejpam-5788	576	3	most	most	ADJ
ejpam-5788	576	4	simulations	simulation	NOUN
ejpam-5788	576	5	,	,	PUNCT
ejpam-5788	576	6	the	the	DET
ejpam-5788	576	7	bayes	bayes	NOUN
ejpam-5788	576	8	estimates	estimate	VERB
ejpam-5788	576	9	outperform	outperform	VERB
ejpam-5788	576	10	the	the	DET
ejpam-5788	576	11	mles	mle	NOUN
ejpam-5788	576	12	for	for	ADP
ejpam-5788	576	13	the	the	DET
ejpam-5788	576	14	estimation	estimation	NOUN
ejpam-5788	576	15	of	of	ADP
ejpam-5788	576	16	θ	θ	PROPN
ejpam-5788	576	17	,	,	PUNCT
ejpam-5788	576	18	σ	σ	PROPN
ejpam-5788	576	19	,	,	PUNCT
ejpam-5788	576	20	and	and	CCONJ
ejpam-5788	576	21	λ	λ	NOUN
ejpam-5788	576	22	.	.	PUNCT
ejpam-5788	577	1	so	so	ADV
ejpam-5788	577	2	,	,	PUNCT
ejpam-5788	577	3	in	in	ADP
ejpam-5788	577	4	general	general	ADJ
ejpam-5788	577	5	,	,	PUNCT
ejpam-5788	577	6	we	we	PRON
ejpam-5788	577	7	would	would	AUX
ejpam-5788	577	8	recommend	recommend	VERB
ejpam-5788	577	9	using	use	VERB
ejpam-5788	577	10	the	the	DET
ejpam-5788	577	11	bayes	bayes	PROPN
ejpam-5788	577	12	estimate	estimate	NOUN
ejpam-5788	577	13	of	of	ADP
ejpam-5788	577	14	the	the	DET
ejpam-5788	577	15	unknown	unknown	ADJ
ejpam-5788	577	16	parameters	parameter	NOUN
ejpam-5788	577	17	of	of	ADP
ejpam-5788	577	18	npt	npt	PROPN
ejpam-5788	577	19	distribution	distribution	NOUN
ejpam-5788	577	20	based	base	VERB
ejpam-5788	577	21	on	on	ADP
ejpam-5788	577	22	type	type	NOUN
ejpam-5788	577	23	-	-	PUNCT
ejpam-5788	577	24	i	i	PRON
ejpam-5788	577	25	ghcs	ghcs	VERB
ejpam-5788	577	26	under	under	ADP
ejpam-5788	577	27	partially	partially	ADV
ejpam-5788	577	28	constant	constant	ADJ
ejpam-5788	577	29	-	-	PUNCT
ejpam-5788	577	30	stress	stress	NOUN
ejpam-5788	577	31	alt	alt	NOUN
ejpam-5788	577	32	.	.	PUNCT
ejpam-5788	578	1	a.	a.	PROPN
ejpam-5788	578	2	a.	a.	PROPN
ejpam-5788	578	3	soliman	soliman	PROPN
ejpam-5788	578	4	et	et	PROPN
ejpam-5788	578	5	al	al	PROPN
ejpam-5788	578	6	.	.	PUNCT
ejpam-5788	578	7	/	/	SYM
ejpam-5788	578	8	eur	eur	PROPN
ejpam-5788	578	9	.	.	PUNCT
ejpam-5788	579	1	j.	j.	PROPN
ejpam-5788	579	2	pure	pure	PROPN
ejpam-5788	579	3	appl	appl	PROPN
ejpam-5788	579	4	.	.	PROPN
ejpam-5788	579	5	math	math	PROPN
ejpam-5788	579	6	,	,	PUNCT
ejpam-5788	579	7	18	18	NUM
ejpam-5788	579	8	(	(	PUNCT
ejpam-5788	579	9	2	2	NUM
ejpam-5788	579	10	)	)	PUNCT
ejpam-5788	579	11	(	(	PUNCT
ejpam-5788	579	12	2025	2025	NUM
ejpam-5788	579	13	)	)	PUNCT
ejpam-5788	579	14	,	,	PUNCT
ejpam-5788	579	15	5788	5788	NUM
ejpam-5788	579	16	22	22	NUM
ejpam-5788	579	17	of	of	ADP
ejpam-5788	579	18	34	34	NUM
ejpam-5788	579	19	blue	blue	ADJ
ejpam-5788	579	20	table	table	NOUN
ejpam-5788	579	21	1	1	NUM
ejpam-5788	579	22	:	:	PUNCT
ejpam-5788	579	23	avg	avg	PROPN
ejpam-5788	579	24	and	and	CCONJ
ejpam-5788	579	25	mses	ms	NOUN
ejpam-5788	579	26	of	of	ADP
ejpam-5788	579	27	for	for	ADP
ejpam-5788	579	28	the	the	DET
ejpam-5788	579	29	parameters	parameter	NOUN
ejpam-5788	579	30	with	with	ADP
ejpam-5788	579	31	(	(	PUNCT
ejpam-5788	579	32	θ	θ	PROPN
ejpam-5788	579	33	,	,	PUNCT
ejpam-5788	579	34	σ	σ	PROPN
ejpam-5788	579	35	,	,	PUNCT
ejpam-5788	579	36	λ	λ	NOUN
ejpam-5788	579	37	)	)	PUNCT
ejpam-5788	579	38	=	=	SYM
ejpam-5788	579	39	(	(	PUNCT
ejpam-5788	579	40	0.5	0.5	NUM
ejpam-5788	579	41	,	,	PUNCT
ejpam-5788	579	42	0.5	0.5	NUM
ejpam-5788	579	43	,	,	PUNCT
ejpam-5788	579	44	1.3	1.3	NUM
ejpam-5788	579	45	)	)	PUNCT
ejpam-5788	579	46	.	.	PUNCT
ejpam-5788	580	1	(	(	PUNCT
ejpam-5788	580	2	n1	n1	NOUN
ejpam-5788	580	3	,	,	PUNCT
ejpam-5788	580	4	n2	n2	ADJ
ejpam-5788	580	5	)	)	PUNCT
ejpam-5788	580	6	(	(	PUNCT
ejpam-5788	580	7	l1,m1	l1,m1	PROPN
ejpam-5788	580	8	)	)	PUNCT
ejpam-5788	580	9	(	(	PUNCT
ejpam-5788	580	10	l2,m2	l2,m2	PROPN
ejpam-5788	580	11	)	)	PUNCT
ejpam-5788	580	12	t	t	PROPN
ejpam-5788	580	13	parcriteria	parcriteria	NOUN
ejpam-5788	580	14	mle	mle	PROPN
ejpam-5788	580	15	bayesian	bayesian	PROPN
ejpam-5788	580	16	nr	nr	PRON
ejpam-5788	580	17	em	em	PRON
ejpam-5788	580	18	self	self	PROPN
ejpam-5788	580	19	llf	llf	PROPN
ejpam-5788	580	20	h∗	h∗	PROPN
ejpam-5788	580	21	=	=	SYM
ejpam-5788	580	22	−0.8	−0.8	PROPN
ejpam-5788	580	23	h∗	h∗	NOUN
ejpam-5788	580	24	=	=	NOUN
ejpam-5788	580	25	0.8	0.8	NUM
ejpam-5788	580	26	(	(	PUNCT
ejpam-5788	580	27	30	30	NUM
ejpam-5788	580	28	,	,	PUNCT
ejpam-5788	580	29	40	40	NUM
ejpam-5788	580	30	)	)	PUNCT
ejpam-5788	580	31	5.0	5.0	NUM
ejpam-5788	580	32	θ̂	θ̂	VERB
ejpam-5788	580	33	avg	avg	NOUN
ejpam-5788	580	34	0.392	0.392	NUM
ejpam-5788	580	35	0.432	0.432	NUM
ejpam-5788	580	36	0.476	0.476	NUM
ejpam-5788	580	37	0.482	0.482	NUM
ejpam-5788	580	38	0.472	0.472	NUM
ejpam-5788	580	39	mse	mse	NOUN
ejpam-5788	580	40	0.015	0.015	NUM
ejpam-5788	580	41	0.006	0.006	NUM
ejpam-5788	580	42	0.008	0.008	NUM
ejpam-5788	580	43	0.009	0.009	NUM
ejpam-5788	580	44	0.008	0.008	NUM
ejpam-5788	580	45	σ̂	σ̂	PROPN
ejpam-5788	580	46	avg	avg	NOUN
ejpam-5788	580	47	0.521	0.521	NUM
ejpam-5788	580	48	0.521	0.521	NUM
ejpam-5788	580	49	0.514	0.514	NUM
ejpam-5788	580	50	0.517	0.517	NUM
ejpam-5788	580	51	0.512	0.512	NUM
ejpam-5788	580	52	mse	mse	NOUN
ejpam-5788	580	53	0.001	0.001	NUM
ejpam-5788	580	54	0.001	0.001	NUM
ejpam-5788	580	55	0.003	0.003	NUM
ejpam-5788	580	56	0.004	0.004	NUM
ejpam-5788	580	57	0.003	0.003	NUM
ejpam-5788	580	58	λ̂	λ̂	NUM
ejpam-5788	580	59	avg	avg	PROPN
ejpam-5788	580	60	1.135	1.135	NUM
ejpam-5788	580	61	1.394	1.394	NUM
ejpam-5788	580	62	1.432	1.432	NUM
ejpam-5788	580	63	1.567	1.567	NUM
ejpam-5788	580	64	1.342	1.342	NUM
ejpam-5788	580	65	(	(	PUNCT
ejpam-5788	580	66	15	15	NUM
ejpam-5788	580	67	,	,	PUNCT
ejpam-5788	580	68	25	25	NUM
ejpam-5788	580	69	)	)	PUNCT
ejpam-5788	580	70	mse	mse	NOUN
ejpam-5788	580	71	0.077	0.077	NUM
ejpam-5788	580	72	0.015	0.015	NUM
ejpam-5788	580	73	0.012	0.012	NUM
ejpam-5788	580	74	0.021	0.021	NUM
ejpam-5788	580	75	0.076	0.076	NUM
ejpam-5788	580	76	(	(	PUNCT
ejpam-5788	580	77	20	20	NUM
ejpam-5788	580	78	,	,	PUNCT
ejpam-5788	580	79	35	35	NUM
ejpam-5788	580	80	)	)	PUNCT
ejpam-5788	580	81	10.0	10.0	NUM
ejpam-5788	580	82	θ̂	θ̂	VERB
ejpam-5788	580	83	avg	avg	NOUN
ejpam-5788	580	84	0.405	0.405	NUM
ejpam-5788	580	85	0.445	0.445	NUM
ejpam-5788	580	86	0.502	0.502	NUM
ejpam-5788	580	87	0.506	0.506	NUM
ejpam-5788	580	88	0.497	0.497	NUM
ejpam-5788	580	89	mse	mse	NOUN
ejpam-5788	580	90	0.013	0.013	NUM
ejpam-5788	580	91	0.027	0.027	NUM
ejpam-5788	580	92	0.011	0.011	NUM
ejpam-5788	580	93	0.012	0.012	NUM
ejpam-5788	580	94	0.010	0.010	NUM
ejpam-5788	580	95	σ̂	σ̂	PROPN
ejpam-5788	580	96	avg	avg	NOUN
ejpam-5788	580	97	0.528	0.528	NUM
ejpam-5788	580	98	0.528	0.528	NUM
ejpam-5788	580	99	0.595	0.595	NUM
ejpam-5788	580	100	0.598	0.598	NUM
ejpam-5788	580	101	0.592	0.592	NUM
ejpam-5788	580	102	mse	mse	NOUN
ejpam-5788	580	103	0.001	0.001	NUM
ejpam-5788	580	104	0.001	0.001	NUM
ejpam-5788	580	105	0.013	0.013	NUM
ejpam-5788	580	106	0.024	0.024	NUM
ejpam-5788	580	107	0.014	0.014	NUM
ejpam-5788	580	108	λ̂	λ̂	NUM
ejpam-5788	580	109	avg	avg	PROPN
ejpam-5788	580	110	1.173	1.173	NUM
ejpam-5788	580	111	1.406	1.406	NUM
ejpam-5788	580	112	1.506	1.506	NUM
ejpam-5788	580	113	1.632	1.632	NUM
ejpam-5788	580	114	1.418	1.418	NUM
ejpam-5788	580	115	mse	mse	NOUN
ejpam-5788	580	116	0.077	0.077	NUM
ejpam-5788	580	117	0.074	0.074	NUM
ejpam-5788	580	118	0.137	0.137	NUM
ejpam-5788	580	119	0.237	0.237	NUM
ejpam-5788	580	120	0.117	0.117	NUM
ejpam-5788	580	121	(	(	PUNCT
ejpam-5788	580	122	50	50	NUM
ejpam-5788	580	123	,	,	PUNCT
ejpam-5788	580	124	60	60	NUM
ejpam-5788	580	125	)	)	PUNCT
ejpam-5788	580	126	5.0	5.0	NUM
ejpam-5788	580	127	θ̂	θ̂	VERB
ejpam-5788	580	128	avg	avg	NOUN
ejpam-5788	580	129	0.423	0.423	NUM
ejpam-5788	580	130	0.521	0.521	NUM
ejpam-5788	580	131	0.518	0.518	NUM
ejpam-5788	580	132	0.520	0.520	NUM
ejpam-5788	580	133	0.516	0.516	NUM
ejpam-5788	580	134	mse	mse	NOUN
ejpam-5788	580	135	0.008	0.008	NUM
ejpam-5788	580	136	0.006	0.006	NUM
ejpam-5788	580	137	0.007	0.007	NUM
ejpam-5788	580	138	0.008	0.008	NUM
ejpam-5788	580	139	0.007	0.007	NUM
ejpam-5788	580	140	σ̂	σ̂	PROPN
ejpam-5788	580	141	avg	avg	NOUN
ejpam-5788	580	142	0.515	0.515	NUM
ejpam-5788	580	143	0.515	0.515	NUM
ejpam-5788	580	144	0.547	0.547	NUM
ejpam-5788	580	145	0.548	0.548	NUM
ejpam-5788	580	146	0.546	0.546	NUM
ejpam-5788	580	147	mse	mse	NOUN
ejpam-5788	580	148	0.001	0.001	NUM
ejpam-5788	580	149	0.001	0.001	NUM
ejpam-5788	580	150	0.006	0.006	NUM
ejpam-5788	580	151	0.006	0.006	NUM
ejpam-5788	580	152	0.005	0.005	NUM
ejpam-5788	580	153	λ̂	λ̂	NUM
ejpam-5788	580	154	avg	avg	PROPN
ejpam-5788	580	155	1.132	1.132	NUM
ejpam-5788	580	156	1.232	1.232	NUM
ejpam-5788	580	157	1.392	1.392	NUM
ejpam-5788	580	158	1.439	1.439	NUM
ejpam-5788	580	159	1.349	1.349	NUM
ejpam-5788	580	160	(	(	PUNCT
ejpam-5788	580	161	35	35	NUM
ejpam-5788	580	162	,	,	PUNCT
ejpam-5788	580	163	45	45	NUM
ejpam-5788	580	164	)	)	PUNCT
ejpam-5788	580	165	mse	mse	NOUN
ejpam-5788	580	166	0.064	0.064	NUM
ejpam-5788	580	167	0.034	0.034	NUM
ejpam-5788	580	168	0.090	0.090	NUM
ejpam-5788	580	169	0.113	0.113	NUM
ejpam-5788	580	170	0.075	0.075	NUM
ejpam-5788	580	171	(	(	PUNCT
ejpam-5788	580	172	40	40	NUM
ejpam-5788	580	173	,	,	PUNCT
ejpam-5788	580	174	55	55	NUM
ejpam-5788	580	175	)	)	PUNCT
ejpam-5788	580	176	10.0	10.0	NUM
ejpam-5788	580	177	θ̂	θ̂	VERB
ejpam-5788	580	178	avg	avg	NOUN
ejpam-5788	580	179	0.421	0.421	NUM
ejpam-5788	580	180	0.521	0.521	NUM
ejpam-5788	580	181	0.519	0.519	NUM
ejpam-5788	580	182	0.521	0.521	NUM
ejpam-5788	580	183	0.517	0.517	NUM
ejpam-5788	580	184	mse	mse	NOUN
ejpam-5788	580	185	0.008	0.008	NUM
ejpam-5788	580	186	0.004	0.004	NUM
ejpam-5788	580	187	0.006	0.006	NUM
ejpam-5788	580	188	0.007	0.007	NUM
ejpam-5788	580	189	0.006	0.006	NUM
ejpam-5788	580	190	σ̂	σ̂	PROPN
ejpam-5788	580	191	avg	avg	NOUN
ejpam-5788	580	192	0.516	0.516	NUM
ejpam-5788	580	193	0.516	0.516	NUM
ejpam-5788	580	194	0.569	0.569	NUM
ejpam-5788	580	195	0.571	0.571	NUM
ejpam-5788	580	196	0.568	0.568	NUM
ejpam-5788	580	197	mse	mse	NOUN
ejpam-5788	580	198	0.001	0.001	NUM
ejpam-5788	580	199	0.001	0.001	NUM
ejpam-5788	580	200	0.007	0.007	NUM
ejpam-5788	580	201	0.008	0.008	NUM
ejpam-5788	580	202	0.007	0.007	NUM
ejpam-5788	580	203	λ̂	λ̂	NUM
ejpam-5788	580	204	avg	avg	PROPN
ejpam-5788	580	205	1.141	1.141	NUM
ejpam-5788	580	206	1.234	1.234	NUM
ejpam-5788	580	207	1.392	1.392	NUM
ejpam-5788	580	208	1.439	1.439	NUM
ejpam-5788	580	209	1.351	1.351	NUM
ejpam-5788	580	210	mse	mse	NOUN
ejpam-5788	580	211	0.066	0.066	NUM
ejpam-5788	580	212	0.045	0.045	NUM
ejpam-5788	580	213	0.093	0.093	NUM
ejpam-5788	580	214	0.115	0.115	NUM
ejpam-5788	580	215	0.078	0.078	NUM
ejpam-5788	580	216	(	(	PUNCT
ejpam-5788	580	217	70	70	NUM
ejpam-5788	580	218	,	,	PUNCT
ejpam-5788	580	219	80	80	NUM
ejpam-5788	580	220	)	)	PUNCT
ejpam-5788	580	221	5.0	5.0	NUM
ejpam-5788	580	222	θ̂	θ̂	VERB
ejpam-5788	580	223	avg	avg	NOUN
ejpam-5788	581	1	0.420	0.420	NUM
ejpam-5788	581	2	0.532	0.532	NUM
ejpam-5788	581	3	0.499	0.499	NUM
ejpam-5788	581	4	0.500	0.500	NUM
ejpam-5788	581	5	0.497	0.497	NUM
ejpam-5788	581	6	mse	mse	NOUN
ejpam-5788	581	7	0.008	0.008	NUM
ejpam-5788	581	8	0.007	0.007	NUM
ejpam-5788	581	9	0.003	0.003	NUM
ejpam-5788	581	10	0.004	0.004	NUM
ejpam-5788	581	11	0.004	0.004	NUM
ejpam-5788	581	12	σ̂	σ̂	X
ejpam-5788	581	13	avg	avg	NOUN
ejpam-5788	581	14	0.511	0.511	NUM
ejpam-5788	581	15	0.511	0.511	NUM
ejpam-5788	581	16	0.520	0.520	NUM
ejpam-5788	581	17	0.529	0.529	NUM
ejpam-5788	581	18	0.521	0.521	NUM
ejpam-5788	581	19	mse	mse	NOUN
ejpam-5788	581	20	0.002	0.002	NUM
ejpam-5788	581	21	0.002	0.002	NUM
ejpam-5788	581	22	0.003	0.003	NUM
ejpam-5788	581	23	0.004	0.004	NUM
ejpam-5788	581	24	0.003	0.003	NUM
ejpam-5788	581	25	λ̂	λ̂	NUM
ejpam-5788	581	26	avg	avg	PROPN
ejpam-5788	581	27	1.181	1.181	NUM
ejpam-5788	581	28	1.380	1.380	NUM
ejpam-5788	581	29	1.405	1.405	NUM
ejpam-5788	581	30	1.436	1.436	NUM
ejpam-5788	581	31	1.377	1.377	NUM
ejpam-5788	581	32	(	(	PUNCT
ejpam-5788	581	33	55	55	NUM
ejpam-5788	581	34	,	,	PUNCT
ejpam-5788	581	35	65	65	NUM
ejpam-5788	581	36	)	)	PUNCT
ejpam-5788	581	37	mse	mse	NOUN
ejpam-5788	581	38	0.051	0.051	NUM
ejpam-5788	581	39	0.045	0.045	NUM
ejpam-5788	581	40	0.094	0.094	NUM
ejpam-5788	581	41	0.109	0.109	NUM
ejpam-5788	581	42	0.082	0.082	NUM
ejpam-5788	581	43	(	(	PUNCT
ejpam-5788	581	44	60	60	NUM
ejpam-5788	581	45	,	,	PUNCT
ejpam-5788	581	46	75	75	NUM
ejpam-5788	581	47	)	)	PUNCT
ejpam-5788	581	48	10.0	10.0	NUM
ejpam-5788	581	49	θ̂	θ̂	VERB
ejpam-5788	581	50	avg	avg	NOUN
ejpam-5788	581	51	0.431	0.431	NUM
ejpam-5788	581	52	0.532	0.532	NUM
ejpam-5788	581	53	0.514	0.514	NUM
ejpam-5788	581	54	0.516	0.516	NUM
ejpam-5788	581	55	0.513	0.513	NUM
ejpam-5788	581	56	mse	mse	NOUN
ejpam-5788	581	57	0.006	0.006	NUM
ejpam-5788	581	58	0.007	0.007	NUM
ejpam-5788	581	59	0.005	0.005	NUM
ejpam-5788	581	60	0.004	0.004	NUM
ejpam-5788	581	61	0.004	0.004	NUM
ejpam-5788	581	62	σ̂	σ̂	NUM
ejpam-5788	581	63	avg	avg	NOUN
ejpam-5788	581	64	0.509	0.509	NUM
ejpam-5788	581	65	0.509	0.509	NUM
ejpam-5788	581	66	0.520	0.520	NUM
ejpam-5788	581	67	0.521	0.521	NUM
ejpam-5788	581	68	0.519	0.519	NUM
ejpam-5788	581	69	mse	mse	NOUN
ejpam-5788	581	70	0.001	0.001	NUM
ejpam-5788	581	71	0.001	0.001	NUM
ejpam-5788	581	72	0.002	0.002	NUM
ejpam-5788	581	73	0.003	0.003	NUM
ejpam-5788	581	74	0.002	0.002	NUM
ejpam-5788	581	75	λ̂	λ̂	NUM
ejpam-5788	581	76	avg	avg	PROPN
ejpam-5788	581	77	1.148	1.148	NUM
ejpam-5788	581	78	1.345	1.345	NUM
ejpam-5788	581	79	1.351	1.351	NUM
ejpam-5788	581	80	1.378	1.378	NUM
ejpam-5788	581	81	1.325	1.325	NUM
ejpam-5788	581	82	mse	mse	PROPN
ejpam-5788	581	83	0.047	0.047	NUM
ejpam-5788	581	84	0.048	0.048	NUM
ejpam-5788	581	85	0.048	0.048	NUM
ejpam-5788	581	86	0.055	0.055	NUM
ejpam-5788	581	87	0.043	0.043	NUM
ejpam-5788	581	88	a.	a.	NOUN
ejpam-5788	581	89	a.	a.	NOUN
ejpam-5788	581	90	soliman	soliman	PROPN
ejpam-5788	581	91	et	et	PROPN
ejpam-5788	581	92	al	al	PROPN
ejpam-5788	581	93	.	.	PUNCT
ejpam-5788	581	94	/	/	SYM
ejpam-5788	581	95	eur	eur	PROPN
ejpam-5788	581	96	.	.	PUNCT
ejpam-5788	582	1	j.	j.	PROPN
ejpam-5788	582	2	pure	pure	PROPN
ejpam-5788	582	3	appl	appl	PROPN
ejpam-5788	582	4	.	.	PROPN
ejpam-5788	582	5	math	math	PROPN
ejpam-5788	582	6	,	,	PUNCT
ejpam-5788	582	7	18	18	NUM
ejpam-5788	582	8	(	(	PUNCT
ejpam-5788	582	9	2	2	NUM
ejpam-5788	582	10	)	)	PUNCT
ejpam-5788	582	11	(	(	PUNCT
ejpam-5788	582	12	2025	2025	NUM
ejpam-5788	582	13	)	)	PUNCT
ejpam-5788	582	14	,	,	PUNCT
ejpam-5788	582	15	5788	5788	NUM
ejpam-5788	582	16	23	23	NUM
ejpam-5788	582	17	of	of	ADP
ejpam-5788	582	18	34	34	NUM
ejpam-5788	582	19	blue	blue	ADJ
ejpam-5788	582	20	table	table	NOUN
ejpam-5788	582	21	2	2	NUM
ejpam-5788	582	22	:	:	PUNCT
ejpam-5788	582	23	avg	avg	PROPN
ejpam-5788	582	24	and	and	CCONJ
ejpam-5788	582	25	mses	ms	NOUN
ejpam-5788	582	26	of	of	ADP
ejpam-5788	582	27	for	for	ADP
ejpam-5788	582	28	the	the	DET
ejpam-5788	582	29	parameters	parameter	NOUN
ejpam-5788	582	30	with	with	ADP
ejpam-5788	582	31	(	(	PUNCT
ejpam-5788	582	32	θ	θ	PROPN
ejpam-5788	582	33	,	,	PUNCT
ejpam-5788	582	34	σ	σ	PROPN
ejpam-5788	582	35	,	,	PUNCT
ejpam-5788	582	36	λ	λ	NOUN
ejpam-5788	582	37	)	)	PUNCT
ejpam-5788	582	38	=	=	SYM
ejpam-5788	582	39	(	(	PUNCT
ejpam-5788	582	40	1.0	1.0	NUM
ejpam-5788	582	41	,	,	PUNCT
ejpam-5788	582	42	1.0	1.0	NUM
ejpam-5788	582	43	,	,	PUNCT
ejpam-5788	582	44	2.0	2.0	NUM
ejpam-5788	582	45	)	)	PUNCT
ejpam-5788	582	46	.	.	PUNCT
ejpam-5788	583	1	(	(	PUNCT
ejpam-5788	583	2	n1	n1	NOUN
ejpam-5788	583	3	,	,	PUNCT
ejpam-5788	583	4	n2	n2	ADJ
ejpam-5788	583	5	)	)	PUNCT
ejpam-5788	583	6	(	(	PUNCT
ejpam-5788	583	7	l1,m1	l1,m1	PROPN
ejpam-5788	583	8	)	)	PUNCT
ejpam-5788	583	9	(	(	PUNCT
ejpam-5788	583	10	l2,m2	l2,m2	PROPN
ejpam-5788	583	11	)	)	PUNCT
ejpam-5788	583	12	t	t	PROPN
ejpam-5788	583	13	parcriteria	parcriteria	NOUN
ejpam-5788	583	14	mle	mle	PROPN
ejpam-5788	583	15	bayesian	bayesian	PROPN
ejpam-5788	583	16	nr	nr	PRON
ejpam-5788	583	17	em	em	PRON
ejpam-5788	583	18	self	self	PROPN
ejpam-5788	583	19	llf	llf	PROPN
ejpam-5788	583	20	h∗	h∗	PROPN
ejpam-5788	583	21	=	=	SYM
ejpam-5788	583	22	−0.8	−0.8	PROPN
ejpam-5788	583	23	h∗	h∗	NOUN
ejpam-5788	583	24	=	=	NOUN
ejpam-5788	583	25	0.8	0.8	NUM
ejpam-5788	583	26	(	(	PUNCT
ejpam-5788	583	27	30	30	NUM
ejpam-5788	583	28	,	,	PUNCT
ejpam-5788	583	29	40	40	NUM
ejpam-5788	583	30	)	)	PUNCT
ejpam-5788	583	31	7.0	7.0	NUM
ejpam-5788	583	32	θ̂	θ̂	VERB
ejpam-5788	583	33	avg	avg	PROPN
ejpam-5788	583	34	1.098	1.098	NUM
ejpam-5788	583	35	1.072	1.072	NUM
ejpam-5788	583	36	0.934	0.934	NUM
ejpam-5788	583	37	0.936	0.936	NUM
ejpam-5788	583	38	0.928	0.928	NUM
ejpam-5788	583	39	mse	mse	NOUN
ejpam-5788	583	40	0.086	0.086	NUM
ejpam-5788	583	41	0.079	0.079	NUM
ejpam-5788	583	42	0.066	0.066	NUM
ejpam-5788	583	43	0.062	0.062	NUM
ejpam-5788	583	44	0.073	0.073	NUM
ejpam-5788	583	45	σ̂	σ̂	NUM
ejpam-5788	583	46	avg	avg	PROPN
ejpam-5788	583	47	1.319	1.319	NUM
ejpam-5788	583	48	1.319	1.319	NUM
ejpam-5788	583	49	1.291	1.291	NUM
ejpam-5788	583	50	1.423	1.423	NUM
ejpam-5788	583	51	1.397	1.397	NUM
ejpam-5788	583	52	mse	mse	NOUN
ejpam-5788	583	53	0.097	0.097	NUM
ejpam-5788	583	54	0.097	0.097	NUM
ejpam-5788	583	55	0.076	0.076	NUM
ejpam-5788	583	56	0.078	0.078	NUM
ejpam-5788	583	57	0.066	0.066	NUM
ejpam-5788	583	58	λ̂	λ̂	NUM
ejpam-5788	583	59	avg	avg	PROPN
ejpam-5788	583	60	1.519	1.519	NUM
ejpam-5788	583	61	1.572	1.572	NUM
ejpam-5788	583	62	1.373	1.373	NUM
ejpam-5788	583	63	1.468	1.468	NUM
ejpam-5788	583	64	1.386	1.386	NUM
ejpam-5788	583	65	(	(	PUNCT
ejpam-5788	583	66	15	15	NUM
ejpam-5788	583	67	,	,	PUNCT
ejpam-5788	583	68	25	25	NUM
ejpam-5788	583	69	)	)	PUNCT
ejpam-5788	583	70	mse	mse	NOUN
ejpam-5788	583	71	0.244	0.244	NUM
ejpam-5788	583	72	0.278	0.278	NUM
ejpam-5788	583	73	0.052	0.052	NUM
ejpam-5788	583	74	0.078	0.078	NUM
ejpam-5788	583	75	0.053	0.053	NUM
ejpam-5788	583	76	(	(	PUNCT
ejpam-5788	583	77	20	20	NUM
ejpam-5788	583	78	,	,	PUNCT
ejpam-5788	583	79	35	35	NUM
ejpam-5788	583	80	)	)	PUNCT
ejpam-5788	583	81	10.0	10.0	NUM
ejpam-5788	583	82	θ̂	θ̂	VERB
ejpam-5788	583	83	avg	avg	PROPN
ejpam-5788	583	84	1.154	1.154	NUM
ejpam-5788	583	85	1.131	1.131	NUM
ejpam-5788	583	86	0.879	0.879	NUM
ejpam-5788	583	87	0.913	0.913	NUM
ejpam-5788	583	88	0.869	0.869	NUM
ejpam-5788	583	89	mse	mse	NOUN
ejpam-5788	583	90	0.083	0.083	NUM
ejpam-5788	583	91	0.080	0.080	NUM
ejpam-5788	583	92	0.044	0.044	NUM
ejpam-5788	583	93	0.052	0.052	NUM
ejpam-5788	583	94	0.043	0.043	NUM
ejpam-5788	583	95	σ̂	σ̂	X
ejpam-5788	583	96	avg	avg	PROPN
ejpam-5788	583	97	1.134	1.134	NUM
ejpam-5788	583	98	1.134	1.134	NUM
ejpam-5788	583	99	1.096	1.096	NUM
ejpam-5788	583	100	1.125	1.125	NUM
ejpam-5788	583	101	0.983	0.983	NUM
ejpam-5788	583	102	mse	mse	NOUN
ejpam-5788	583	103	0.017	0.017	NUM
ejpam-5788	583	104	0.017	0.017	NUM
ejpam-5788	583	105	0.050	0.050	NUM
ejpam-5788	583	106	0.066	0.066	NUM
ejpam-5788	583	107	0.050	0.050	NUM
ejpam-5788	583	108	λ̂	λ̂	NUM
ejpam-5788	583	109	avg	avg	NOUN
ejpam-5788	583	110	1.370	1.370	NUM
ejpam-5788	583	111	1.412	1.412	NUM
ejpam-5788	583	112	1.531	1.531	NUM
ejpam-5788	583	113	1.612	1.612	NUM
ejpam-5788	583	114	1.435	1.435	NUM
ejpam-5788	583	115	mse	mse	NOUN
ejpam-5788	583	116	0.171	0.171	NUM
ejpam-5788	583	117	0.188	0.188	NUM
ejpam-5788	583	118	0.103	0.103	NUM
ejpam-5788	583	119	0.126	0.126	NUM
ejpam-5788	583	120	0.105	0.105	NUM
ejpam-5788	583	121	(	(	PUNCT
ejpam-5788	583	122	50	50	NUM
ejpam-5788	583	123	,	,	PUNCT
ejpam-5788	583	124	60	60	NUM
ejpam-5788	583	125	)	)	PUNCT
ejpam-5788	583	126	7.0	7.0	NUM
ejpam-5788	583	127	θ̂	θ̂	VERB
ejpam-5788	583	128	avg	avg	NOUN
ejpam-5788	583	129	1.014	1.014	NUM
ejpam-5788	583	130	0.983	0.983	NUM
ejpam-5788	583	131	0.869	0.869	NUM
ejpam-5788	583	132	0.923	0.923	NUM
ejpam-5788	583	133	0.895	0.895	NUM
ejpam-5788	583	134	mse	mse	NOUN
ejpam-5788	583	135	0.033	0.033	NUM
ejpam-5788	583	136	0.034	0.034	NUM
ejpam-5788	583	137	0.030	0.030	NUM
ejpam-5788	583	138	0.036	0.036	NUM
ejpam-5788	583	139	0.029	0.029	NUM
ejpam-5788	583	140	σ̂	σ̂	PROPN
ejpam-5788	583	141	avg	avg	PROPN
ejpam-5788	583	142	1.082	1.082	NUM
ejpam-5788	583	143	1.082	1.082	NUM
ejpam-5788	583	144	0.884	0.884	NUM
ejpam-5788	583	145	0.896	0.896	NUM
ejpam-5788	583	146	0.865	0.865	NUM
ejpam-5788	583	147	mse	mse	NOUN
ejpam-5788	583	148	0.085	0.085	NUM
ejpam-5788	583	149	0.085	0.085	NUM
ejpam-5788	583	150	0.074	0.074	NUM
ejpam-5788	583	151	0.082	0.082	NUM
ejpam-5788	583	152	0.061	0.061	NUM
ejpam-5788	583	153	λ̂	λ̂	X
ejpam-5788	583	154	avg	avg	PROPN
ejpam-5788	583	155	1.714	1.714	NUM
ejpam-5788	583	156	1.787	1.787	NUM
ejpam-5788	583	157	1.731	1.731	NUM
ejpam-5788	583	158	1.752	1.752	NUM
ejpam-5788	583	159	1.693	1.693	NUM
ejpam-5788	583	160	(	(	PUNCT
ejpam-5788	583	161	35	35	NUM
ejpam-5788	583	162	,	,	PUNCT
ejpam-5788	583	163	45	45	NUM
ejpam-5788	583	164	)	)	PUNCT
ejpam-5788	583	165	mse	mse	NOUN
ejpam-5788	583	166	0.203	0.203	NUM
ejpam-5788	583	167	0.269	0.269	NUM
ejpam-5788	583	168	0.090	0.090	NUM
ejpam-5788	583	169	0.099	0.099	NUM
ejpam-5788	583	170	0.089	0.089	NUM
ejpam-5788	583	171	(	(	PUNCT
ejpam-5788	583	172	40	40	NUM
ejpam-5788	583	173	,	,	PUNCT
ejpam-5788	583	174	55	55	NUM
ejpam-5788	583	175	)	)	PUNCT
ejpam-5788	583	176	10.0	10.0	NUM
ejpam-5788	583	177	θ̂	θ̂	VERB
ejpam-5788	583	178	avg	avg	NOUN
ejpam-5788	583	179	1.023	1.023	NUM
ejpam-5788	583	180	1.005	1.005	NUM
ejpam-5788	583	181	0.867	0.867	NUM
ejpam-5788	583	182	0.902	0.902	NUM
ejpam-5788	583	183	0.849	0.849	NUM
ejpam-5788	583	184	mse	mse	NOUN
ejpam-5788	583	185	0.030	0.030	NUM
ejpam-5788	583	186	0.031	0.031	NUM
ejpam-5788	583	187	0.023	0.023	NUM
ejpam-5788	583	188	0.032	0.032	NUM
ejpam-5788	583	189	0.019	0.019	NUM
ejpam-5788	583	190	σ̂	σ̂	PROPN
ejpam-5788	583	191	avg	avg	PROPN
ejpam-5788	583	192	1.072	1.072	NUM
ejpam-5788	583	193	1.072	1.072	NUM
ejpam-5788	583	194	0.857	0.857	NUM
ejpam-5788	583	195	0.879	0.879	NUM
ejpam-5788	583	196	0.847	0.847	NUM
ejpam-5788	583	197	mse	mse	NOUN
ejpam-5788	583	198	0.009	0.009	NUM
ejpam-5788	583	199	0.009	0.009	NUM
ejpam-5788	583	200	0.004	0.004	NUM
ejpam-5788	583	201	0.025	0.025	NUM
ejpam-5788	583	202	0.001	0.001	NUM
ejpam-5788	583	203	λ̂	λ̂	NUM
ejpam-5788	583	204	avg	avg	PROPN
ejpam-5788	583	205	1.543	1.543	NUM
ejpam-5788	583	206	1.581	1.581	NUM
ejpam-5788	583	207	1.725	1.725	NUM
ejpam-5788	583	208	1.865	1.865	NUM
ejpam-5788	583	209	1.658	1.658	NUM
ejpam-5788	583	210	mse	mse	NOUN
ejpam-5788	583	211	0.125	0.125	NUM
ejpam-5788	583	212	0.141	0.141	NUM
ejpam-5788	583	213	0.122	0.122	NUM
ejpam-5788	583	214	0.156	0.156	NUM
ejpam-5788	583	215	0.069	0.069	NUM
ejpam-5788	583	216	(	(	PUNCT
ejpam-5788	583	217	70	70	NUM
ejpam-5788	583	218	,	,	PUNCT
ejpam-5788	583	219	80	80	NUM
ejpam-5788	583	220	)	)	PUNCT
ejpam-5788	583	221	7.0	7.0	NUM
ejpam-5788	583	222	θ̂	θ̂	VERB
ejpam-5788	583	223	avg	avg	NOUN
ejpam-5788	583	224	1.021	1.021	NUM
ejpam-5788	583	225	0.991	0.991	NUM
ejpam-5788	583	226	0.962	0.962	NUM
ejpam-5788	583	227	0.976	0.976	NUM
ejpam-5788	583	228	0.936	0.936	NUM
ejpam-5788	583	229	mse	mse	NOUN
ejpam-5788	583	230	0.017	0.017	NUM
ejpam-5788	583	231	0.018	0.018	NUM
ejpam-5788	583	232	0.015	0.015	NUM
ejpam-5788	583	233	0.026	0.026	NUM
ejpam-5788	583	234	0.011	0.011	NUM
ejpam-5788	583	235	σ̂	σ̂	PROPN
ejpam-5788	583	236	avg	avg	PROPN
ejpam-5788	583	237	1.082	1.082	NUM
ejpam-5788	583	238	1.082	1.082	NUM
ejpam-5788	583	239	0.913	0.913	NUM
ejpam-5788	583	240	0.963	0.963	NUM
ejpam-5788	583	241	0.896	0.896	NUM
ejpam-5788	583	242	mse	mse	NOUN
ejpam-5788	583	243	0.012	0.012	NUM
ejpam-5788	583	244	0.012	0.012	NUM
ejpam-5788	583	245	0.003	0.003	NUM
ejpam-5788	583	246	0.019	0.019	NUM
ejpam-5788	583	247	0.001	0.001	NUM
ejpam-5788	583	248	λ̂	λ̂	NUM
ejpam-5788	583	249	avg	avg	PROPN
ejpam-5788	583	250	1.485	1.485	NUM
ejpam-5788	583	251	1.537	1.537	NUM
ejpam-5788	583	252	1.822	1.822	NUM
ejpam-5788	583	253	1.836	1.836	NUM
ejpam-5788	583	254	1.756	1.756	NUM
ejpam-5788	583	255	(	(	PUNCT
ejpam-5788	583	256	55	55	NUM
ejpam-5788	583	257	,	,	PUNCT
ejpam-5788	583	258	65	65	NUM
ejpam-5788	583	259	)	)	PUNCT
ejpam-5788	583	260	mse	mse	NOUN
ejpam-5788	583	261	0.037	0.037	NUM
ejpam-5788	583	262	0.042	0.042	NUM
ejpam-5788	583	263	0.022	0.022	NUM
ejpam-5788	583	264	0.056	0.056	NUM
ejpam-5788	583	265	0.015	0.015	NUM
ejpam-5788	583	266	(	(	PUNCT
ejpam-5788	583	267	60	60	NUM
ejpam-5788	583	268	,	,	PUNCT
ejpam-5788	583	269	75	75	NUM
ejpam-5788	583	270	)	)	PUNCT
ejpam-5788	583	271	10.0	10.0	NUM
ejpam-5788	583	272	θ̂	θ̂	VERB
ejpam-5788	583	273	avg	avg	NOUN
ejpam-5788	583	274	0.944	0.944	NUM
ejpam-5788	583	275	0.928	0.928	NUM
ejpam-5788	583	276	0.918	0.918	NUM
ejpam-5788	583	277	0.968	0.968	NUM
ejpam-5788	583	278	0.897	0.897	NUM
ejpam-5788	583	279	mse	mse	NOUN
ejpam-5788	583	280	0.020	0.020	NUM
ejpam-5788	583	281	0.023	0.023	NUM
ejpam-5788	583	282	0.018	0.018	NUM
ejpam-5788	583	283	0.032	0.032	NUM
ejpam-5788	583	284	0.009	0.009	NUM
ejpam-5788	583	285	σ̂	σ̂	X
ejpam-5788	583	286	avg	avg	PROPN
ejpam-5788	583	287	1.096	1.096	NUM
ejpam-5788	583	288	1.096	1.096	NUM
ejpam-5788	583	289	0.919	0.919	NUM
ejpam-5788	583	290	0.936	0.936	NUM
ejpam-5788	583	291	0.895	0.895	NUM
ejpam-5788	583	292	mse	mse	NOUN
ejpam-5788	583	293	0.010	0.010	NUM
ejpam-5788	583	294	0.010	0.010	NUM
ejpam-5788	583	295	0.009	0.009	NUM
ejpam-5788	583	296	0.023	0.023	NUM
ejpam-5788	583	297	0.002	0.002	NUM
ejpam-5788	583	298	λ̂	λ̂	NUM
ejpam-5788	583	299	avg	avg	PROPN
ejpam-5788	583	300	1.597	1.597	NUM
ejpam-5788	583	301	1.634	1.634	NUM
ejpam-5788	583	302	1.716	1.716	NUM
ejpam-5788	583	303	1.768	1.768	NUM
ejpam-5788	583	304	1.659	1.659	NUM
ejpam-5788	583	305	mse	mse	NOUN
ejpam-5788	583	306	0.142	0.142	NUM
ejpam-5788	583	307	0.169	0.169	NUM
ejpam-5788	583	308	0.139	0.139	NUM
ejpam-5788	583	309	0.189	0.189	NUM
ejpam-5788	583	310	0.106	0.106	NUM
ejpam-5788	583	311	a.	a.	NOUN
ejpam-5788	583	312	a.	a.	NOUN
ejpam-5788	583	313	soliman	soliman	PROPN
ejpam-5788	583	314	et	et	PROPN
ejpam-5788	583	315	al	al	PROPN
ejpam-5788	583	316	.	.	PUNCT
ejpam-5788	583	317	/	/	SYM
ejpam-5788	583	318	eur	eur	PROPN
ejpam-5788	583	319	.	.	PUNCT
ejpam-5788	584	1	j.	j.	PROPN
ejpam-5788	584	2	pure	pure	PROPN
ejpam-5788	584	3	appl	appl	PROPN
ejpam-5788	584	4	.	.	PROPN
ejpam-5788	584	5	math	math	PROPN
ejpam-5788	584	6	,	,	PUNCT
ejpam-5788	584	7	18	18	NUM
ejpam-5788	584	8	(	(	PUNCT
ejpam-5788	584	9	2	2	NUM
ejpam-5788	584	10	)	)	PUNCT
ejpam-5788	584	11	(	(	PUNCT
ejpam-5788	584	12	2025	2025	NUM
ejpam-5788	584	13	)	)	PUNCT
ejpam-5788	584	14	,	,	PUNCT
ejpam-5788	584	15	5788	5788	NUM
ejpam-5788	584	16	24	24	NUM
ejpam-5788	584	17	of	of	ADP
ejpam-5788	584	18	34	34	NUM
ejpam-5788	584	19	blue	blue	ADJ
ejpam-5788	584	20	table	table	NOUN
ejpam-5788	584	21	3	3	NUM
ejpam-5788	584	22	:	:	PUNCT
ejpam-5788	584	23	als	als	NOUN
ejpam-5788	584	24	and	and	CCONJ
ejpam-5788	584	25	cps	cp	NOUN
ejpam-5788	584	26	for	for	ADP
ejpam-5788	584	27	the	the	DET
ejpam-5788	584	28	parameters	parameter	NOUN
ejpam-5788	584	29	with	with	ADP
ejpam-5788	584	30	(	(	PUNCT
ejpam-5788	584	31	θ	θ	PROPN
ejpam-5788	584	32	,	,	PUNCT
ejpam-5788	584	33	σ	σ	PROPN
ejpam-5788	584	34	,	,	PUNCT
ejpam-5788	584	35	λ	λ	NOUN
ejpam-5788	584	36	)	)	PUNCT
ejpam-5788	584	37	=	=	SYM
ejpam-5788	584	38	(	(	PUNCT
ejpam-5788	584	39	0.5	0.5	NUM
ejpam-5788	584	40	,	,	PUNCT
ejpam-5788	584	41	0.5	0.5	NUM
ejpam-5788	584	42	,	,	PUNCT
ejpam-5788	584	43	1.3	1.3	NUM
ejpam-5788	584	44	)	)	PUNCT
ejpam-5788	584	45	.	.	PUNCT
ejpam-5788	585	1	(	(	PUNCT
ejpam-5788	585	2	n1	n1	NOUN
ejpam-5788	585	3	,	,	PUNCT
ejpam-5788	585	4	n2	n2	ADJ
ejpam-5788	585	5	)	)	PUNCT
ejpam-5788	585	6	(	(	PUNCT
ejpam-5788	585	7	l1,m1	l1,m1	PROPN
ejpam-5788	585	8	)	)	PUNCT
ejpam-5788	585	9	t	t	PROPN
ejpam-5788	585	10	par	par	NOUN
ejpam-5788	585	11	criteria	criteria	VERB
ejpam-5788	585	12	mle	mle	PROPN
ejpam-5788	585	13	n	n	CCONJ
ejpam-5788	585	14	-	-	PUNCT
ejpam-5788	585	15	boot	boot	NOUN
ejpam-5788	585	16	bayesian	bayesian	NOUN
ejpam-5788	585	17	(	(	PUNCT
ejpam-5788	585	18	l2,m2	l2,m2	PROPN
ejpam-5788	585	19	)	)	PUNCT
ejpam-5788	585	20	(	(	PUNCT
ejpam-5788	585	21	30	30	NUM
ejpam-5788	585	22	,	,	PUNCT
ejpam-5788	585	23	40	40	NUM
ejpam-5788	585	24	)	)	PUNCT
ejpam-5788	585	25	5.0	5.0	NUM
ejpam-5788	585	26	θ̂	θ̂	NUM
ejpam-5788	585	27	al	al	PROPN
ejpam-5788	585	28	0.295	0.295	NUM
ejpam-5788	585	29	0.529	0.529	NUM
ejpam-5788	585	30	0.324	0.324	NUM
ejpam-5788	585	31	95	95	NUM
ejpam-5788	585	32	%	%	NOUN
ejpam-5788	585	33	cp	cp	NUM
ejpam-5788	585	34	0.852	0.852	NUM
ejpam-5788	585	35	0.872	0.872	NUM
ejpam-5788	585	36	0.868	0.868	NUM
ejpam-5788	585	37	σ̂	σ̂	PROPN
ejpam-5788	585	38	al	al	PROPN
ejpam-5788	585	39	0.406	0.406	NUM
ejpam-5788	585	40	0.599	0.599	NUM
ejpam-5788	585	41	0.288	0.288	NUM
ejpam-5788	585	42	95	95	NUM
ejpam-5788	585	43	%	%	NOUN
ejpam-5788	586	1	cp	cp	INTJ
ejpam-5788	586	2	0.897	0.897	NUM
ejpam-5788	586	3	0.886	0.886	NUM
ejpam-5788	586	4	0.854	0.854	NUM
ejpam-5788	586	5	λ̂	λ̂	NUM
ejpam-5788	586	6	al	al	PROPN
ejpam-5788	586	7	1.933	1.933	NUM
ejpam-5788	586	8	1.789	1.789	NUM
ejpam-5788	586	9	1.324	1.324	NUM
ejpam-5788	586	10	(	(	PUNCT
ejpam-5788	586	11	15	15	NUM
ejpam-5788	586	12	,	,	PUNCT
ejpam-5788	586	13	25	25	NUM
ejpam-5788	586	14	)	)	PUNCT
ejpam-5788	586	15	95	95	NUM
ejpam-5788	586	16	%	%	NOUN
ejpam-5788	586	17	cp	cp	INTJ
ejpam-5788	586	18	0.912	0.912	NUM
ejpam-5788	586	19	93.8	93.8	NUM
ejpam-5788	586	20	0.867	0.867	NUM
ejpam-5788	586	21	(	(	PUNCT
ejpam-5788	586	22	20	20	NUM
ejpam-5788	586	23	,	,	PUNCT
ejpam-5788	586	24	35	35	NUM
ejpam-5788	586	25	)	)	PUNCT
ejpam-5788	586	26	10.0	10.0	NUM
ejpam-5788	586	27	θ̂	θ̂	NUM
ejpam-5788	586	28	al	al	PROPN
ejpam-5788	586	29	0.201	0.201	NUM
ejpam-5788	586	30	0.517	0.517	NUM
ejpam-5788	586	31	0.311	0.311	NUM
ejpam-5788	586	32	95	95	NUM
ejpam-5788	586	33	%	%	NOUN
ejpam-5788	586	34	cp	cp	INTJ
ejpam-5788	586	35	0.789	0.789	NUM
ejpam-5788	586	36	0.897	0.897	NUM
ejpam-5788	586	37	0.967	0.967	NUM
ejpam-5788	586	38	σ̂	σ̂	PROPN
ejpam-5788	586	39	al	al	PROPN
ejpam-5788	586	40	0.451	0.451	NUM
ejpam-5788	586	41	0.599	0.599	NUM
ejpam-5788	586	42	0.315	0.315	NUM
ejpam-5788	586	43	95	95	NUM
ejpam-5788	586	44	%	%	NOUN
ejpam-5788	586	45	cp	cp	NUM
ejpam-5788	586	46	0.852	0.852	NUM
ejpam-5788	586	47	0.916	0.916	NUM
ejpam-5788	586	48	0.921	0.921	NUM
ejpam-5788	586	49	λ̂	λ̂	NUM
ejpam-5788	586	50	al	al	PROPN
ejpam-5788	586	51	1.463	1.463	NUM
ejpam-5788	586	52	1.765	1.765	NUM
ejpam-5788	586	53	1.311	1.311	NUM
ejpam-5788	586	54	95	95	NUM
ejpam-5788	586	55	%	%	NOUN
ejpam-5788	586	56	cp	cp	INTJ
ejpam-5788	586	57	0.890	0.890	NUM
ejpam-5788	586	58	0.923	0.923	NUM
ejpam-5788	586	59	0.873	0.873	NUM
ejpam-5788	586	60	(	(	PUNCT
ejpam-5788	586	61	50	50	NUM
ejpam-5788	586	62	,	,	PUNCT
ejpam-5788	586	63	60	60	NUM
ejpam-5788	586	64	)	)	PUNCT
ejpam-5788	586	65	5.0	5.0	NUM
ejpam-5788	586	66	θ̂	θ̂	NUM
ejpam-5788	586	67	al	al	PROPN
ejpam-5788	586	68	0.221	0.221	NUM
ejpam-5788	586	69	0.567	0.567	NUM
ejpam-5788	586	70	0.293	0.293	NUM
ejpam-5788	586	71	95	95	NUM
ejpam-5788	586	72	%	%	NOUN
ejpam-5788	586	73	cp	cp	INTJ
ejpam-5788	586	74	0.893	0.893	NUM
ejpam-5788	586	75	0.936	0.936	NUM
ejpam-5788	586	76	0.827	0.827	NUM
ejpam-5788	586	77	σ̂	σ̂	PROPN
ejpam-5788	586	78	al	al	PROPN
ejpam-5788	586	79	0.348	0.348	NUM
ejpam-5788	586	80	0.577	0.577	NUM
ejpam-5788	586	81	0.173	0.173	NUM
ejpam-5788	586	82	95	95	NUM
ejpam-5788	586	83	%	%	NOUN
ejpam-5788	586	84	cp	cp	NOUN
ejpam-5788	586	85	0.917	0.917	NUM
ejpam-5788	586	86	0.944	0.944	NUM
ejpam-5788	586	87	0.878	0.878	NUM
ejpam-5788	586	88	λ̂	λ̂	NUM
ejpam-5788	586	89	al	al	PROPN
ejpam-5788	586	90	1.597	1.597	NUM
ejpam-5788	586	91	1.679	1.679	NUM
ejpam-5788	586	92	1.275	1.275	NUM
ejpam-5788	586	93	(	(	PUNCT
ejpam-5788	586	94	35	35	NUM
ejpam-5788	586	95	,	,	PUNCT
ejpam-5788	586	96	45	45	NUM
ejpam-5788	586	97	)	)	PUNCT
ejpam-5788	586	98	95	95	NUM
ejpam-5788	586	99	%	%	NOUN
ejpam-5788	586	100	cp	cp	NUM
ejpam-5788	586	101	0.908	0.908	NUM
ejpam-5788	586	102	0.962	0.962	NUM
ejpam-5788	586	103	0.925	0.925	NUM
ejpam-5788	586	104	(	(	PUNCT
ejpam-5788	586	105	40	40	NUM
ejpam-5788	586	106	,	,	PUNCT
ejpam-5788	586	107	55	55	NUM
ejpam-5788	586	108	)	)	PUNCT
ejpam-5788	586	109	10.0	10.0	NUM
ejpam-5788	586	110	θ̂	θ̂	NUM
ejpam-5788	586	111	al	al	PROPN
ejpam-5788	586	112	0.167	0.167	NUM
ejpam-5788	586	113	0.568	0.568	NUM
ejpam-5788	586	114	0.292	0.292	NUM
ejpam-5788	586	115	95	95	NUM
ejpam-5788	586	116	%	%	NOUN
ejpam-5788	586	117	cp	cp	NUM
ejpam-5788	586	118	0.908	0.908	NUM
ejpam-5788	586	119	0.962	0.962	NUM
ejpam-5788	586	120	0.925	0.925	NUM
ejpam-5788	586	121	σ̂	σ̂	NUM
ejpam-5788	586	122	al	al	PROPN
ejpam-5788	586	123	0.359	0.359	NUM
ejpam-5788	586	124	0.577	0.577	NUM
ejpam-5788	586	125	0.186	0.186	NUM
ejpam-5788	586	126	95	95	NUM
ejpam-5788	586	127	%	%	NOUN
ejpam-5788	586	128	cp	cp	NUM
ejpam-5788	586	129	0.923	0.923	NUM
ejpam-5788	586	130	0.938	0.938	NUM
ejpam-5788	586	131	0.932	0.932	NUM
ejpam-5788	586	132	λ̂	λ̂	NUM
ejpam-5788	586	133	al	al	PROPN
ejpam-5788	586	134	1.271	1.271	NUM
ejpam-5788	586	135	1.672	1.672	NUM
ejpam-5788	586	136	1.266	1.266	NUM
ejpam-5788	586	137	95	95	NUM
ejpam-5788	586	138	%	%	NOUN
ejpam-5788	586	139	cp	cp	NUM
ejpam-5788	586	140	0.946	0.946	NUM
ejpam-5788	586	141	0.950	0.950	NUM
ejpam-5788	586	142	0.889	0.889	NUM
ejpam-5788	586	143	(	(	PUNCT
ejpam-5788	586	144	70	70	NUM
ejpam-5788	586	145	,	,	PUNCT
ejpam-5788	586	146	80	80	NUM
ejpam-5788	586	147	)	)	PUNCT
ejpam-5788	586	148	5.0	5.0	NUM
ejpam-5788	586	149	θ̂	θ̂	NUM
ejpam-5788	586	150	al	al	PROPN
ejpam-5788	586	151	0.150	0.150	NUM
ejpam-5788	586	152	0.608	0.608	NUM
ejpam-5788	586	153	0.221	0.221	NUM
ejpam-5788	586	154	95	95	NUM
ejpam-5788	586	155	%	%	NOUN
ejpam-5788	586	156	cp	cp	INTJ
ejpam-5788	586	157	0.902	0.902	NUM
ejpam-5788	586	158	0.917	0.917	NUM
ejpam-5788	586	159	0.871	0.871	NUM
ejpam-5788	586	160	σ̂	σ̂	PROPN
ejpam-5788	586	161	al	al	PROPN
ejpam-5788	586	162	0.311	0.311	NUM
ejpam-5788	586	163	0.567	0.567	NUM
ejpam-5788	586	164	0.112	0.112	NUM
ejpam-5788	586	165	95	95	NUM
ejpam-5788	586	166	%	%	NOUN
ejpam-5788	586	167	cp	cp	NUM
ejpam-5788	586	168	0.918	0.918	NUM
ejpam-5788	586	169	0.915	0.915	NUM
ejpam-5788	586	170	0.885	0.885	NUM
ejpam-5788	586	171	λ̂	λ̂	X
ejpam-5788	586	172	al	al	PROPN
ejpam-5788	586	173	1.245	1.245	NUM
ejpam-5788	586	174	1.563	1.563	NUM
ejpam-5788	586	175	1.035	1.035	NUM
ejpam-5788	586	176	(	(	PUNCT
ejpam-5788	586	177	55	55	NUM
ejpam-5788	586	178	,	,	PUNCT
ejpam-5788	586	179	65	65	NUM
ejpam-5788	586	180	)	)	PUNCT
ejpam-5788	586	181	95	95	NUM
ejpam-5788	586	182	%	%	NOUN
ejpam-5788	586	183	cp	cp	INTJ
ejpam-5788	586	184	0.902	0.902	NUM
ejpam-5788	586	185	0.956	0.956	NUM
ejpam-5788	586	186	0.938	0.938	NUM
ejpam-5788	586	187	(	(	PUNCT
ejpam-5788	586	188	60	60	NUM
ejpam-5788	586	189	,	,	PUNCT
ejpam-5788	586	190	75	75	NUM
ejpam-5788	586	191	)	)	PUNCT
ejpam-5788	586	192	10.0	10.0	NUM
ejpam-5788	586	193	θ̂	θ̂	NUM
ejpam-5788	586	194	al	al	PROPN
ejpam-5788	586	195	0.140	0.140	NUM
ejpam-5788	586	196	0.612	0.612	NUM
ejpam-5788	586	197	0.229	0.229	NUM
ejpam-5788	586	198	95	95	NUM
ejpam-5788	586	199	%	%	NOUN
ejpam-5788	586	200	cp	cp	NUM
ejpam-5788	586	201	0.919	0.919	NUM
ejpam-5788	586	202	0.923	0.923	NUM
ejpam-5788	586	203	0.909	0.909	NUM
ejpam-5788	586	204	σ̂	σ̂	PROPN
ejpam-5788	586	205	al	al	PROPN
ejpam-5788	586	206	0.310	0.310	NUM
ejpam-5788	586	207	0.566	0.566	NUM
ejpam-5788	586	208	0.118	0.118	NUM
ejpam-5788	586	209	95	95	NUM
ejpam-5788	586	210	%	%	NOUN
ejpam-5788	586	211	cp	cp	INTJ
ejpam-5788	586	212	0.927	0.927	NUM
ejpam-5788	586	213	0.936	0.936	NUM
ejpam-5788	586	214	0.910	0.910	NUM
ejpam-5788	586	215	λ̂	λ̂	NUM
ejpam-5788	587	1	al	al	PROPN
ejpam-5788	587	2	1.112	1.112	NUM
ejpam-5788	587	3	1.556	1.556	NUM
ejpam-5788	587	4	0.996	0.996	NUM
ejpam-5788	587	5	95	95	NUM
ejpam-5788	587	6	%	%	NOUN
ejpam-5788	587	7	cp	cp	INTJ
ejpam-5788	587	8	0.884	0.884	NUM
ejpam-5788	587	9	0.922	0.922	NUM
ejpam-5788	587	10	0.918	0.918	NUM
ejpam-5788	587	11	a.	a.	NOUN
ejpam-5788	587	12	a.	a.	NOUN
ejpam-5788	587	13	soliman	soliman	PROPN
ejpam-5788	587	14	et	et	PROPN
ejpam-5788	587	15	al	al	PROPN
ejpam-5788	587	16	.	.	PUNCT
ejpam-5788	587	17	/	/	SYM
ejpam-5788	587	18	eur	eur	PROPN
ejpam-5788	587	19	.	.	PUNCT
ejpam-5788	588	1	j.	j.	PROPN
ejpam-5788	588	2	pure	pure	PROPN
ejpam-5788	588	3	appl	appl	PROPN
ejpam-5788	588	4	.	.	PROPN
ejpam-5788	588	5	math	math	PROPN
ejpam-5788	588	6	,	,	PUNCT
ejpam-5788	588	7	18	18	NUM
ejpam-5788	588	8	(	(	PUNCT
ejpam-5788	588	9	2	2	NUM
ejpam-5788	588	10	)	)	PUNCT
ejpam-5788	588	11	(	(	PUNCT
ejpam-5788	588	12	2025	2025	NUM
ejpam-5788	588	13	)	)	PUNCT
ejpam-5788	588	14	,	,	PUNCT
ejpam-5788	588	15	5788	5788	NUM
ejpam-5788	588	16	25	25	NUM
ejpam-5788	588	17	of	of	ADP
ejpam-5788	588	18	34	34	NUM
ejpam-5788	588	19	blue	blue	ADJ
ejpam-5788	588	20	table	table	NOUN
ejpam-5788	588	21	4	4	NUM
ejpam-5788	588	22	:	:	PUNCT
ejpam-5788	588	23	als	als	NOUN
ejpam-5788	588	24	and	and	CCONJ
ejpam-5788	588	25	cps	cp	NOUN
ejpam-5788	588	26	for	for	ADP
ejpam-5788	588	27	the	the	DET
ejpam-5788	588	28	parameters	parameter	NOUN
ejpam-5788	588	29	with	with	ADP
ejpam-5788	588	30	(	(	PUNCT
ejpam-5788	588	31	θ	θ	PROPN
ejpam-5788	588	32	,	,	PUNCT
ejpam-5788	588	33	σ	σ	PROPN
ejpam-5788	588	34	,	,	PUNCT
ejpam-5788	588	35	λ	λ	NOUN
ejpam-5788	588	36	)	)	PUNCT
ejpam-5788	588	37	=	=	SYM
ejpam-5788	588	38	(	(	PUNCT
ejpam-5788	588	39	1.0	1.0	NUM
ejpam-5788	588	40	,	,	PUNCT
ejpam-5788	588	41	1.0	1.0	NUM
ejpam-5788	588	42	,	,	PUNCT
ejpam-5788	588	43	2.0	2.0	NUM
ejpam-5788	588	44	)	)	PUNCT
ejpam-5788	588	45	.	.	PUNCT
ejpam-5788	589	1	(	(	PUNCT
ejpam-5788	589	2	n1	n1	NOUN
ejpam-5788	589	3	,	,	PUNCT
ejpam-5788	589	4	n2	n2	ADJ
ejpam-5788	589	5	)	)	PUNCT
ejpam-5788	589	6	(	(	PUNCT
ejpam-5788	589	7	l1,m1	l1,m1	PROPN
ejpam-5788	589	8	)	)	PUNCT
ejpam-5788	589	9	t	t	PROPN
ejpam-5788	589	10	par	par	NOUN
ejpam-5788	589	11	criteria	criteria	VERB
ejpam-5788	589	12	mle	mle	PROPN
ejpam-5788	589	13	n	n	CCONJ
ejpam-5788	589	14	-	-	PUNCT
ejpam-5788	589	15	boot	boot	NOUN
ejpam-5788	589	16	bayesian	bayesian	NOUN
ejpam-5788	589	17	(	(	PUNCT
ejpam-5788	589	18	l2,m2	l2,m2	PROPN
ejpam-5788	589	19	)	)	PUNCT
ejpam-5788	589	20	(	(	PUNCT
ejpam-5788	589	21	30	30	NUM
ejpam-5788	589	22	,	,	PUNCT
ejpam-5788	589	23	40	40	NUM
ejpam-5788	589	24	)	)	PUNCT
ejpam-5788	589	25	5.0	5.0	NUM
ejpam-5788	589	26	θ̂	θ̂	VERB
ejpam-5788	589	27	al	al	PROPN
ejpam-5788	589	28	1.164	1.164	NUM
ejpam-5788	589	29	0.534	0.534	NUM
ejpam-5788	589	30	0.775	0.775	NUM
ejpam-5788	589	31	95	95	NUM
ejpam-5788	589	32	%	%	NOUN
ejpam-5788	589	33	cp	cp	INTJ
ejpam-5788	589	34	0.975	0.975	NUM
ejpam-5788	589	35	0.923	0.923	NUM
ejpam-5788	589	36	0.965	0.965	NUM
ejpam-5788	589	37	σ̂	σ̂	PROPN
ejpam-5788	589	38	al	al	PROPN
ejpam-5788	589	39	1.927	1.927	NUM
ejpam-5788	589	40	1.324	1.324	NUM
ejpam-5788	589	41	1.275	1.275	NUM
ejpam-5788	589	42	95	95	NUM
ejpam-5788	589	43	%	%	NOUN
ejpam-5788	589	44	cp	cp	INTJ
ejpam-5788	589	45	0.960	0.960	NUM
ejpam-5788	589	46	0.882	0.882	NUM
ejpam-5788	589	47	97.2	97.2	NUM
ejpam-5788	589	48	λ̂	λ̂	NUM
ejpam-5788	589	49	al	al	PROPN
ejpam-5788	589	50	1.444	1.444	NUM
ejpam-5788	589	51	1.653	1.653	NUM
ejpam-5788	589	52	1.022	1.022	NUM
ejpam-5788	589	53	(	(	PUNCT
ejpam-5788	589	54	15	15	NUM
ejpam-5788	589	55	,	,	PUNCT
ejpam-5788	589	56	25	25	NUM
ejpam-5788	589	57	)	)	PUNCT
ejpam-5788	589	58	95	95	NUM
ejpam-5788	589	59	%	%	NOUN
ejpam-5788	589	60	cp	cp	INTJ
ejpam-5788	589	61	0.935	0.935	NUM
ejpam-5788	589	62	0.893	0.893	NUM
ejpam-5788	589	63	0.965	0.965	NUM
ejpam-5788	589	64	(	(	PUNCT
ejpam-5788	589	65	20	20	NUM
ejpam-5788	589	66	,	,	PUNCT
ejpam-5788	589	67	35	35	NUM
ejpam-5788	589	68	)	)	PUNCT
ejpam-5788	589	69	10.0	10.0	NUM
ejpam-5788	589	70	θ̂	θ̂	NUM
ejpam-5788	589	71	al	al	PROPN
ejpam-5788	589	72	0.978	0.978	NUM
ejpam-5788	589	73	0.563	0.563	NUM
ejpam-5788	589	74	0.797	0.797	NUM
ejpam-5788	589	75	95	95	NUM
ejpam-5788	589	76	%	%	NOUN
ejpam-5788	589	77	cp	cp	INTJ
ejpam-5788	589	78	0.938	0.938	NUM
ejpam-5788	589	79	0.913	0.913	NUM
ejpam-5788	589	80	0.923	0.923	NUM
ejpam-5788	589	81	σ̂	σ̂	PROPN
ejpam-5788	590	1	al	al	PROPN
ejpam-5788	590	2	1.083	1.083	NUM
ejpam-5788	590	3	0.698	0.698	NUM
ejpam-5788	590	4	0.828	0.828	NUM
ejpam-5788	590	5	95	95	NUM
ejpam-5788	590	6	%	%	NOUN
ejpam-5788	590	7	cp	cp	INTJ
ejpam-5788	590	8	0.966	0.966	NUM
ejpam-5788	590	9	0.946	0.946	NUM
ejpam-5788	590	10	0.977	0.977	NUM
ejpam-5788	590	11	λ̂	λ̂	NUM
ejpam-5788	591	1	al	al	PROPN
ejpam-5788	591	2	1.710	1.710	NUM
ejpam-5788	591	3	1.653	1.653	NUM
ejpam-5788	591	4	1.030	1.030	NUM
ejpam-5788	591	5	95	95	NUM
ejpam-5788	591	6	%	%	NOUN
ejpam-5788	591	7	cp	cp	NUM
ejpam-5788	591	8	0.975	0.975	NUM
ejpam-5788	591	9	0.943	0.943	NUM
ejpam-5788	591	10	96.3	96.3	NUM
ejpam-5788	591	11	(	(	PUNCT
ejpam-5788	591	12	50	50	NUM
ejpam-5788	591	13	,	,	PUNCT
ejpam-5788	591	14	65	65	NUM
ejpam-5788	591	15	)	)	PUNCT
ejpam-5788	591	16	5.0	5.0	NUM
ejpam-5788	591	17	θ̂	θ̂	NUM
ejpam-5788	591	18	al	al	PROPN
ejpam-5788	591	19	0.942	0.942	NUM
ejpam-5788	591	20	0.698	0.698	NUM
ejpam-5788	591	21	0.707	0.707	NUM
ejpam-5788	591	22	95	95	NUM
ejpam-5788	591	23	%	%	NOUN
ejpam-5788	591	24	cp	cp	NUM
ejpam-5788	591	25	0.965	0.965	NUM
ejpam-5788	591	26	0.930	0.930	NUM
ejpam-5788	591	27	0.973	0.973	NUM
ejpam-5788	591	28	σ̂	σ̂	PROPN
ejpam-5788	591	29	al	al	PROPN
ejpam-5788	591	30	1.363	1.363	NUM
ejpam-5788	591	31	0.963	0.963	NUM
ejpam-5788	591	32	0.673	0.673	NUM
ejpam-5788	591	33	95	95	NUM
ejpam-5788	591	34	%	%	NOUN
ejpam-5788	591	35	cp	cp	INTJ
ejpam-5788	591	36	0.956	0.956	NUM
ejpam-5788	591	37	0.933	0.933	NUM
ejpam-5788	591	38	0.968	0.968	NUM
ejpam-5788	591	39	λ̂	λ̂	NUM
ejpam-5788	591	40	al	al	PROPN
ejpam-5788	591	41	1.457	1.457	NUM
ejpam-5788	591	42	1.036	1.036	NUM
ejpam-5788	591	43	1.008	1.008	NUM
ejpam-5788	591	44	(	(	PUNCT
ejpam-5788	591	45	35	35	NUM
ejpam-5788	591	46	,	,	PUNCT
ejpam-5788	591	47	45	45	NUM
ejpam-5788	591	48	)	)	PUNCT
ejpam-5788	591	49	95	95	NUM
ejpam-5788	591	50	%	%	NOUN
ejpam-5788	591	51	cp	cp	NUM
ejpam-5788	591	52	0.954	0.954	NUM
ejpam-5788	591	53	0.936	0.936	NUM
ejpam-5788	591	54	0.976	0.976	NUM
ejpam-5788	591	55	(	(	PUNCT
ejpam-5788	591	56	40	40	NUM
ejpam-5788	591	57	,	,	PUNCT
ejpam-5788	591	58	55	55	NUM
ejpam-5788	591	59	)	)	PUNCT
ejpam-5788	591	60	10.0	10.0	NUM
ejpam-5788	591	61	θ̂	θ̂	NUM
ejpam-5788	591	62	al	al	PROPN
ejpam-5788	591	63	0.721	0.721	NUM
ejpam-5788	591	64	0.563	0.563	NUM
ejpam-5788	591	65	0.633	0.633	NUM
ejpam-5788	591	66	95	95	NUM
ejpam-5788	591	67	%	%	NOUN
ejpam-5788	591	68	cp	cp	NUM
ejpam-5788	591	69	0.965	0.965	NUM
ejpam-5788	591	70	0.963	0.963	NUM
ejpam-5788	591	71	0.955	0.955	NUM
ejpam-5788	591	72	σ̂	σ̂	NUM
ejpam-5788	591	73	al	al	PROPN
ejpam-5788	591	74	0.947	0.947	NUM
ejpam-5788	591	75	0.678	0.678	NUM
ejpam-5788	591	76	0.585	0.585	NUM
ejpam-5788	591	77	95	95	NUM
ejpam-5788	591	78	%	%	NOUN
ejpam-5788	591	79	cp	cp	NUM
ejpam-5788	591	80	0.955	0.955	NUM
ejpam-5788	591	81	0.906	0.906	NUM
ejpam-5788	591	82	0.965	0.965	NUM
ejpam-5788	591	83	λ̂	λ̂	NUM
ejpam-5788	592	1	al	al	PROPN
ejpam-5788	592	2	1.671	1.671	NUM
ejpam-5788	592	3	1.324	1.324	NUM
ejpam-5788	592	4	1.029	1.029	NUM
ejpam-5788	592	5	95	95	NUM
ejpam-5788	592	6	%	%	NOUN
ejpam-5788	592	7	cp	cp	NUM
ejpam-5788	592	8	0.923	0.923	NUM
ejpam-5788	592	9	0.903	0.903	NUM
ejpam-5788	592	10	0.935	0.935	NUM
ejpam-5788	592	11	(	(	PUNCT
ejpam-5788	592	12	70	70	NUM
ejpam-5788	592	13	,	,	PUNCT
ejpam-5788	592	14	80	80	NUM
ejpam-5788	592	15	)	)	PUNCT
ejpam-5788	592	16	5.0	5.0	NUM
ejpam-5788	592	17	θ̂	θ̂	VERB
ejpam-5788	592	18	al	al	PROPN
ejpam-5788	592	19	0.701	0.701	NUM
ejpam-5788	592	20	0.456	0.456	NUM
ejpam-5788	592	21	0.653	0.653	NUM
ejpam-5788	592	22	95	95	NUM
ejpam-5788	592	23	%	%	NOUN
ejpam-5788	592	24	cp	cp	NUM
ejpam-5788	592	25	0.975	0.975	NUM
ejpam-5788	592	26	0.943	0.943	NUM
ejpam-5788	592	27	0.985	0.985	NUM
ejpam-5788	592	28	σ̂	σ̂	PROPN
ejpam-5788	592	29	al	al	PROPN
ejpam-5788	592	30	0.895	0.895	NUM
ejpam-5788	592	31	0.678	0.678	NUM
ejpam-5788	592	32	0.490	0.490	NUM
ejpam-5788	592	33	95	95	NUM
ejpam-5788	592	34	%	%	NOUN
ejpam-5788	592	35	cp	cp	NUM
ejpam-5788	592	36	0.925	0.925	NUM
ejpam-5788	592	37	0.930	0.930	NUM
ejpam-5788	592	38	0.965	0.965	NUM
ejpam-5788	592	39	λ̂	λ̂	NUM
ejpam-5788	592	40	al	al	PROPN
ejpam-5788	592	41	1.440	1.440	NUM
ejpam-5788	592	42	0.896	0.896	NUM
ejpam-5788	592	43	0.984	0.984	NUM
ejpam-5788	592	44	(	(	PUNCT
ejpam-5788	592	45	55	55	NUM
ejpam-5788	592	46	,	,	PUNCT
ejpam-5788	592	47	65	65	NUM
ejpam-5788	592	48	)	)	PUNCT
ejpam-5788	592	49	95	95	NUM
ejpam-5788	592	50	%	%	NOUN
ejpam-5788	592	51	cp	cp	NUM
ejpam-5788	592	52	0.955	0.955	NUM
ejpam-5788	592	53	0.939	0.939	NUM
ejpam-5788	592	54	0.965	0.965	NUM
ejpam-5788	592	55	(	(	PUNCT
ejpam-5788	592	56	60	60	NUM
ejpam-5788	592	57	,	,	PUNCT
ejpam-5788	592	58	75	75	NUM
ejpam-5788	592	59	)	)	PUNCT
ejpam-5788	592	60	10.0	10.0	NUM
ejpam-5788	592	61	θ̂	θ̂	NUM
ejpam-5788	592	62	al	al	PROPN
ejpam-5788	592	63	0.610	0.610	NUM
ejpam-5788	592	64	0.568	0.568	NUM
ejpam-5788	592	65	0.537	0.537	NUM
ejpam-5788	592	66	95	95	NUM
ejpam-5788	592	67	%	%	NOUN
ejpam-5788	592	68	cp	cp	INTJ
ejpam-5788	592	69	0.985	0.985	NUM
ejpam-5788	592	70	0.936	0.936	NUM
ejpam-5788	592	71	0.966	0.966	NUM
ejpam-5788	592	72	σ̂	σ̂	PROPN
ejpam-5788	592	73	al	al	PROPN
ejpam-5788	592	74	0.891	0.891	NUM
ejpam-5788	592	75	0.783	0.783	NUM
ejpam-5788	592	76	0.483	0.483	NUM
ejpam-5788	592	77	95	95	NUM
ejpam-5788	592	78	%	%	NOUN
ejpam-5788	592	79	cp	cp	NUM
ejpam-5788	592	80	0.968	0.968	NUM
ejpam-5788	592	81	0.936	0.936	NUM
ejpam-5788	592	82	0.973	0.973	NUM
ejpam-5788	592	83	λ̂	λ̂	NUM
ejpam-5788	592	84	al	al	PROPN
ejpam-5788	592	85	1.576	1.576	NUM
ejpam-5788	592	86	0.963	0.963	NUM
ejpam-5788	592	87	0.973	0.973	NUM
ejpam-5788	592	88	95	95	NUM
ejpam-5788	592	89	%	%	NOUN
ejpam-5788	592	90	cp	cp	INTJ
ejpam-5788	592	91	0.966	0.966	NUM
ejpam-5788	592	92	0.936	0.936	NUM
ejpam-5788	592	93	0.956	0.956	NUM
ejpam-5788	592	94	a.	a.	NOUN
ejpam-5788	592	95	a.	a.	NOUN
ejpam-5788	592	96	soliman	soliman	PROPN
ejpam-5788	592	97	et	et	PROPN
ejpam-5788	592	98	al	al	PROPN
ejpam-5788	592	99	.	.	PUNCT
ejpam-5788	592	100	/	/	SYM
ejpam-5788	592	101	eur	eur	PROPN
ejpam-5788	592	102	.	.	PUNCT
ejpam-5788	593	1	j.	j.	PROPN
ejpam-5788	593	2	pure	pure	PROPN
ejpam-5788	593	3	appl	appl	PROPN
ejpam-5788	593	4	.	.	PROPN
ejpam-5788	593	5	math	math	PROPN
ejpam-5788	593	6	,	,	PUNCT
ejpam-5788	593	7	18	18	NUM
ejpam-5788	593	8	(	(	PUNCT
ejpam-5788	593	9	2	2	NUM
ejpam-5788	593	10	)	)	PUNCT
ejpam-5788	593	11	(	(	PUNCT
ejpam-5788	593	12	2025	2025	NUM
ejpam-5788	593	13	)	)	PUNCT
ejpam-5788	593	14	,	,	PUNCT
ejpam-5788	593	15	5788	5788	NUM
ejpam-5788	593	16	26	26	NUM
ejpam-5788	593	17	of	of	ADP
ejpam-5788	593	18	34	34	NUM
ejpam-5788	593	19	3.2	3.2	NUM
ejpam-5788	593	20	.	.	PUNCT
ejpam-5788	594	1	illustrative	illustrative	ADJ
ejpam-5788	594	2	example	example	NOUN
ejpam-5788	594	3	and	and	CCONJ
ejpam-5788	594	4	real	real	ADJ
ejpam-5788	594	5	data	datum	NOUN
ejpam-5788	594	6	analysis	analysis	NOUN
ejpam-5788	594	7	in	in	ADP
ejpam-5788	594	8	this	this	DET
ejpam-5788	594	9	section	section	NOUN
ejpam-5788	594	10	,	,	PUNCT
ejpam-5788	594	11	we	we	PRON
ejpam-5788	594	12	introduce	introduce	VERB
ejpam-5788	594	13	a	a	DET
ejpam-5788	594	14	numerical	numerical	ADJ
ejpam-5788	594	15	investigation	investigation	NOUN
ejpam-5788	594	16	of	of	ADP
ejpam-5788	594	17	the	the	DET
ejpam-5788	594	18	estimation	estimation	NOUN
ejpam-5788	594	19	methods	method	NOUN
ejpam-5788	594	20	discussed	discuss	VERB
ejpam-5788	594	21	in	in	ADP
ejpam-5788	594	22	previous	previous	ADJ
ejpam-5788	594	23	sections	section	NOUN
ejpam-5788	594	24	for	for	ADP
ejpam-5788	594	25	the	the	DET
ejpam-5788	594	26	npt	npt	PROPN
ejpam-5788	594	27	distribution	distribution	NOUN
ejpam-5788	594	28	using	use	VERB
ejpam-5788	594	29	simulated	simulated	ADJ
ejpam-5788	594	30	data	datum	NOUN
ejpam-5788	594	31	and	and	CCONJ
ejpam-5788	594	32	a	a	DET
ejpam-5788	594	33	real	real	ADJ
ejpam-5788	594	34	data	datum	NOUN
ejpam-5788	594	35	set	set	VERB
ejpam-5788	594	36	.	.	PUNCT
ejpam-5788	595	1	3.2.1	3.2.1	NUM
ejpam-5788	595	2	.	.	PUNCT
ejpam-5788	596	1	type	type	NOUN
ejpam-5788	596	2	-	-	PUNCT
ejpam-5788	596	3	i	i	PRON
ejpam-5788	596	4	ghcs	ghcs	VERB
ejpam-5788	596	5	data	datum	NOUN
ejpam-5788	596	6	here	here	ADV
ejpam-5788	596	7	,	,	PUNCT
ejpam-5788	596	8	the	the	DET
ejpam-5788	596	9	estimation	estimation	NOUN
ejpam-5788	596	10	methods	method	NOUN
ejpam-5788	596	11	described	describe	VERB
ejpam-5788	596	12	in	in	ADP
ejpam-5788	596	13	the	the	DET
ejpam-5788	596	14	previous	previous	ADJ
ejpam-5788	596	15	sections	section	NOUN
ejpam-5788	596	16	is	be	AUX
ejpam-5788	596	17	applied	apply	VERB
ejpam-5788	596	18	to	to	ADP
ejpam-5788	596	19	the	the	DET
ejpam-5788	596	20	set	set	NOUN
ejpam-5788	596	21	of	of	ADP
ejpam-5788	596	22	simulated	simulated	ADJ
ejpam-5788	596	23	type	type	NOUN
ejpam-5788	596	24	-	-	PUNCT
ejpam-5788	596	25	i	i	PRON
ejpam-5788	596	26	ghcs	ghcs	VERB
ejpam-5788	596	27	data	datum	NOUN
ejpam-5788	596	28	under	under	ADP
ejpam-5788	596	29	the	the	DET
ejpam-5788	596	30	constant	constant	ADJ
ejpam-5788	596	31	-	-	PUNCT
ejpam-5788	596	32	stress	stress	NOUN
ejpam-5788	596	33	palt	palt	NOUN
ejpam-5788	596	34	.	.	PUNCT
ejpam-5788	597	1	a	a	DET
ejpam-5788	597	2	data	datum	NOUN
ejpam-5788	597	3	set	set	VERB
ejpam-5788	597	4	of	of	ADP
ejpam-5788	597	5	system	system	NOUN
ejpam-5788	597	6	lifetime	lifetime	NOUN
ejpam-5788	597	7	is	be	AUX
ejpam-5788	597	8	generated	generate	VERB
ejpam-5788	597	9	from	from	ADP
ejpam-5788	597	10	the	the	DET
ejpam-5788	597	11	npt	npt	PROPN
ejpam-5788	597	12	model	model	NOUN
ejpam-5788	597	13	with	with	ADP
ejpam-5788	597	14	θ	θ	PROPN
ejpam-5788	597	15	=	=	SYM
ejpam-5788	597	16	0.5	0.5	NUM
ejpam-5788	597	17	,	,	PUNCT
ejpam-5788	597	18	σ	σ	NOUN
ejpam-5788	597	19	=	=	SYM
ejpam-5788	597	20	1.0	1.0	NUM
ejpam-5788	597	21	and	and	CCONJ
ejpam-5788	597	22	λ	λ	X
ejpam-5788	597	23	=	=	NOUN
ejpam-5788	597	24	1.5	1.5	NUM
ejpam-5788	597	25	,	,	PUNCT
ejpam-5788	597	26	respectively	respectively	ADV
ejpam-5788	597	27	.	.	PUNCT
ejpam-5788	598	1	based	base	VERB
ejpam-5788	598	2	on	on	ADP
ejpam-5788	598	3	(	(	PUNCT
ejpam-5788	598	4	n1	n1	NOUN
ejpam-5788	598	5	=	=	SYM
ejpam-5788	598	6	n2	n2	NOUN
ejpam-5788	598	7	=	=	SYM
ejpam-5788	598	8	60	60	NUM
ejpam-5788	598	9	,	,	PUNCT
ejpam-5788	598	10	l1	l1	PROPN
ejpam-5788	598	11	=	=	PUNCT
ejpam-5788	598	12	l2	l2	PROPN
ejpam-5788	598	13	=	=	SYM
ejpam-5788	598	14	40,m1	40,m1	PROPN
ejpam-5788	598	15	=	=	PUNCT
ejpam-5788	598	16	m2	m2	PROPN
ejpam-5788	598	17	=	=	PROPN
ejpam-5788	598	18	50	50	NUM
ejpam-5788	598	19	,	,	PUNCT
ejpam-5788	598	20	t	t	NOUN
ejpam-5788	598	21	=	=	SYM
ejpam-5788	598	22	10	10	NUM
ejpam-5788	598	23	)	)	PUNCT
ejpam-5788	598	24	,	,	PUNCT
ejpam-5788	598	25	using	use	VERB
ejpam-5788	598	26	the	the	DET
ejpam-5788	598	27	algorithm	algorithm	NOUN
ejpam-5788	598	28	described	describe	VERB
ejpam-5788	598	29	in	in	ADP
ejpam-5788	598	30	algo.(3	algo.(3	PROPN
ejpam-5788	598	31	)	)	PUNCT
ejpam-5788	598	32	.	.	PUNCT
ejpam-5788	599	1	we	we	PRON
ejpam-5788	599	2	simulate	simulate	VERB
ejpam-5788	599	3	two	two	NUM
ejpam-5788	599	4	samples	sample	NOUN
ejpam-5788	599	5	of	of	ADP
ejpam-5788	599	6	size	size	NOUN
ejpam-5788	599	7	d1	d1	PROPN
ejpam-5788	599	8	=	=	SYM
ejpam-5788	599	9	40	40	NUM
ejpam-5788	599	10	and	and	CCONJ
ejpam-5788	599	11	d2	d2	PROPN
ejpam-5788	599	12	=	=	PROPN
ejpam-5788	599	13	42	42	NUM
ejpam-5788	599	14	from	from	ADP
ejpam-5788	599	15	the	the	DET
ejpam-5788	599	16	npt(θ	npt(θ	PROPN
ejpam-5788	599	17	,	,	PUNCT
ejpam-5788	599	18	σ	σ	NOUN
ejpam-5788	599	19	)	)	PUNCT
ejpam-5788	599	20	and	and	CCONJ
ejpam-5788	599	21	npt(θ	npt(θ	PROPN
ejpam-5788	599	22	,	,	PUNCT
ejpam-5788	599	23	σ	σ	PROPN
ejpam-5788	599	24	,	,	PUNCT
ejpam-5788	599	25	λ	λ	PROPN
ejpam-5788	599	26	)	)	PUNCT
ejpam-5788	599	27	.	.	PUNCT
ejpam-5788	600	1	the	the	DET
ejpam-5788	600	2	simulated	simulate	VERB
ejpam-5788	600	3	data	datum	NOUN
ejpam-5788	600	4	are	be	AUX
ejpam-5788	600	5	given	give	VERB
ejpam-5788	600	6	in	in	ADP
ejpam-5788	600	7	tab.(5	tab.(5	NUM
ejpam-5788	600	8	)	)	PUNCT
ejpam-5788	600	9	.	.	PUNCT
ejpam-5788	601	1	table	table	NOUN
ejpam-5788	601	2	5	5	NUM
ejpam-5788	601	3	:	:	PUNCT
ejpam-5788	601	4	simulated	simulate	VERB
ejpam-5788	601	5	type	type	NOUN
ejpam-5788	601	6	-	-	PUNCT
ejpam-5788	601	7	i	i	PRON
ejpam-5788	601	8	ghc	ghc	NOUN
ejpam-5788	601	9	samples	sample	NOUN
ejpam-5788	601	10	with	with	ADP
ejpam-5788	601	11	constant	constant	ADJ
ejpam-5788	601	12	-	-	PUNCT
ejpam-5788	601	13	stress	stress	NOUN
ejpam-5788	601	14	palt	palt	NOUN
ejpam-5788	601	15	.	.	PUNCT
ejpam-5788	602	1	blue	blue	ADJ
ejpam-5788	602	2	normal	normal	ADJ
ejpam-5788	602	3	condition	condition	NOUN
ejpam-5788	602	4	1.1471.1491.2061.2891.3101.4852.0212.1302.1492.2332.267	1.1471.1491.2061.2891.3101.4852.0212.1302.1492.2332.267	NUM
ejpam-5788	602	5	2.3242.3942.6322.6623.1663.4364.0724.1044.9185.2675.522	2.3242.3942.6322.6623.1663.4364.0724.1044.9185.2675.522	NUM
ejpam-5788	602	6	5.7786.4507.2198.4138.5279.2889.60010.3210.3411.4812.97	5.7786.4507.2198.4138.5279.2889.60010.3210.3411.4812.97	PROPN
ejpam-5788	602	7	18.7220.1423.3426.7033.3437.0938.81	18.7220.1423.3426.7033.3437.0938.81	PROPN
ejpam-5788	602	8	accelerated	accelerate	VERB
ejpam-5788	602	9	condition	condition	NOUN
ejpam-5788	602	10	1.0391.1031.2351.2601.2801.3171.9662.0392.0822.1462.333	1.0391.1031.2351.2601.2801.3171.9662.0392.0822.1462.333	NUM
ejpam-5788	602	11	2.4102.4432.5652.6672.7592.8373.0283.0673.0903.5493.755	2.4102.4432.5652.6672.7592.8373.0283.0673.0903.5493.755	NUM
ejpam-5788	602	12	3.8073.9454.2344.3694.6164.8604.9455.1315.5195.9566.403	3.8073.9454.2344.3694.6164.8604.9455.1315.5195.9566.403	NUM
ejpam-5788	602	13	6.6086.8627.0307.0867.1487.2257.5798.3278.404	6.6086.8627.0307.0867.1487.2257.5798.3278.404	NUM
ejpam-5788	602	14	based	base	VERB
ejpam-5788	602	15	on	on	ADP
ejpam-5788	602	16	the	the	DET
ejpam-5788	602	17	observed	observe	VERB
ejpam-5788	602	18	censored	censored	ADJ
ejpam-5788	602	19	data	datum	NOUN
ejpam-5788	602	20	in	in	ADP
ejpam-5788	602	21	tab.(5	tab.(5	NUM
ejpam-5788	602	22	)	)	PUNCT
ejpam-5788	602	23	and	and	CCONJ
ejpam-5788	602	24	the	the	DET
ejpam-5788	602	25	methods	method	NOUN
ejpam-5788	602	26	adopted	adopt	VERB
ejpam-5788	602	27	in	in	ADP
ejpam-5788	602	28	subs	sub	NOUN
ejpam-5788	602	29	.	.	PUNCT
ejpam-5788	603	1	(	(	PUNCT
ejpam-5788	603	2	2.2.3	2.2.3	NUM
ejpam-5788	603	3	)	)	PUNCT
ejpam-5788	603	4	,	,	PUNCT
ejpam-5788	603	5	we	we	PRON
ejpam-5788	603	6	calculated	calculate	VERB
ejpam-5788	603	7	the	the	DET
ejpam-5788	603	8	mles	mle	NOUN
ejpam-5788	603	9	of	of	ADP
ejpam-5788	603	10	θ	θ	PROPN
ejpam-5788	603	11	,	,	PUNCT
ejpam-5788	603	12	σ	σ	PROPN
ejpam-5788	603	13	and	and	CCONJ
ejpam-5788	603	14	λ	λ	PROPN
ejpam-5788	603	15	.	.	PUNCT
ejpam-5788	604	1	the	the	DET
ejpam-5788	604	2	values	value	NOUN
ejpam-5788	604	3	are	be	AUX
ejpam-5788	604	4	shown	show	VERB
ejpam-5788	604	5	in	in	ADP
ejpam-5788	604	6	tab.(6	tab.(6	NUM
ejpam-5788	604	7	)	)	PUNCT
ejpam-5788	604	8	.	.	PUNCT
ejpam-5788	605	1	in	in	ADP
ejpam-5788	605	2	order	order	NOUN
ejpam-5788	605	3	to	to	PART
ejpam-5788	605	4	obtain	obtain	VERB
ejpam-5788	605	5	the	the	DET
ejpam-5788	605	6	bayes	bayes	NOUN
ejpam-5788	605	7	estimates	estimate	NOUN
ejpam-5788	605	8	of	of	ADP
ejpam-5788	605	9	θ	θ	PROPN
ejpam-5788	605	10	,	,	PUNCT
ejpam-5788	605	11	σ	σ	PROPN
ejpam-5788	605	12	and	and	CCONJ
ejpam-5788	605	13	λ	λ	PROPN
ejpam-5788	605	14	,	,	PUNCT
ejpam-5788	605	15	10	10	NUM
ejpam-5788	605	16	,	,	PUNCT
ejpam-5788	605	17	000	000	NUM
ejpam-5788	605	18	samples	sample	NOUN
ejpam-5788	605	19	were	be	AUX
ejpam-5788	605	20	generated	generate	VERB
ejpam-5788	605	21	based	base	VERB
ejpam-5788	605	22	on	on	ADP
ejpam-5788	605	23	the	the	DET
ejpam-5788	605	24	metropolis	metropolis	PROPN
ejpam-5788	605	25	–	–	PUNCT
ejpam-5788	605	26	hastings	hastings	PROPN
ejpam-5788	605	27	algorithm	algorithm	NOUN
ejpam-5788	605	28	.	.	PUNCT
ejpam-5788	606	1	these	these	DET
ejpam-5788	606	2	bayes	bayes	PROPN
ejpam-5788	606	3	estimates	estimate	NOUN
ejpam-5788	606	4	were	be	AUX
ejpam-5788	606	5	obtained	obtain	VERB
ejpam-5788	606	6	after	after	ADP
ejpam-5788	606	7	discarding	discard	VERB
ejpam-5788	606	8	the	the	DET
ejpam-5788	606	9	initial	initial	ADJ
ejpam-5788	606	10	1000	1000	NUM
ejpam-5788	606	11	burn	burn	NOUN
ejpam-5788	606	12	-	-	PUNCT
ejpam-5788	606	13	in	in	ADP
ejpam-5788	606	14	iterative	iterative	NOUN
ejpam-5788	606	15	values	value	NOUN
ejpam-5788	606	16	.	.	PUNCT
ejpam-5788	607	1	bayes	bayes	PROPN
ejpam-5788	607	2	estimates	estimate	NOUN
ejpam-5788	607	3	were	be	AUX
ejpam-5788	607	4	calculated	calculate	VERB
ejpam-5788	607	5	with	with	ADP
ejpam-5788	607	6	the	the	DET
ejpam-5788	607	7	informative	informative	ADJ
ejpam-5788	607	8	priors	prior	NOUN
ejpam-5788	607	9	,	,	PUNCT
ejpam-5788	607	10	and	and	CCONJ
ejpam-5788	607	11	the	the	DET
ejpam-5788	607	12	hyper	hyper	ADJ
ejpam-5788	607	13	parameters	parameter	NOUN
ejpam-5788	607	14	as	as	ADP
ejpam-5788	607	15	(	(	PUNCT
ejpam-5788	607	16	a	a	PRON
ejpam-5788	607	17	=	=	SYM
ejpam-5788	607	18	0.002	0.002	NUM
ejpam-5788	607	19	,	,	PUNCT
ejpam-5788	607	20	b	b	NOUN
ejpam-5788	607	21	=	=	SYM
ejpam-5788	607	22	2.0	2.0	NUM
ejpam-5788	607	23	,	,	PUNCT
ejpam-5788	607	24	c	c	NOUN
ejpam-5788	607	25	=	=	SYM
ejpam-5788	607	26	5.0	5.0	NUM
ejpam-5788	607	27	,	,	PUNCT
ejpam-5788	607	28	d	d	X
ejpam-5788	607	29	=	=	SYM
ejpam-5788	607	30	2.0	2.0	NUM
ejpam-5788	607	31	)	)	PUNCT
ejpam-5788	607	32	.	.	PUNCT
ejpam-5788	608	1	for	for	ADP
ejpam-5788	608	2	llf	llf	PROPN
ejpam-5788	608	3	,	,	PUNCT
ejpam-5788	608	4	h∗	h∗	PROPN
ejpam-5788	608	5	=	=	PUNCT
ejpam-5788	608	6	−0.8	−0.8	PROPN
ejpam-5788	608	7	and	and	CCONJ
ejpam-5788	608	8	h∗	h∗	PROPN
ejpam-5788	608	9	=	=	NOUN
ejpam-5788	608	10	0.8	0.8	NUM
ejpam-5788	608	11	were	be	AUX
ejpam-5788	608	12	used	use	VERB
ejpam-5788	608	13	as	as	ADP
ejpam-5788	608	14	two	two	NUM
ejpam-5788	608	15	options	option	NOUN
ejpam-5788	608	16	for	for	ADP
ejpam-5788	608	17	the	the	DET
ejpam-5788	608	18	constant	constant	ADJ
ejpam-5788	608	19	h∗.	h∗.	NOUN
ejpam-5788	608	20	these	these	DET
ejpam-5788	608	21	choices	choice	NOUN
ejpam-5788	608	22	give	give	VERB
ejpam-5788	608	23	more	more	ADJ
ejpam-5788	608	24	weight	weight	NOUN
ejpam-5788	608	25	to	to	ADP
ejpam-5788	608	26	underestimation	underestimation	NOUN
ejpam-5788	608	27	and	and	CCONJ
ejpam-5788	608	28	exaggeration	exaggeration	NOUN
ejpam-5788	608	29	,	,	PUNCT
ejpam-5788	608	30	respectively	respectively	ADV
ejpam-5788	608	31	.	.	PUNCT
ejpam-5788	609	1	the	the	DET
ejpam-5788	609	2	mles	mle	NOUN
ejpam-5788	609	3	of	of	ADP
ejpam-5788	609	4	the	the	DET
ejpam-5788	609	5	unknown	unknown	ADJ
ejpam-5788	609	6	parameters	parameter	NOUN
ejpam-5788	609	7	were	be	AUX
ejpam-5788	609	8	considered	consider	VERB
ejpam-5788	609	9	as	as	ADP
ejpam-5788	609	10	their	their	PRON
ejpam-5788	609	11	initial	initial	ADJ
ejpam-5788	609	12	values	value	NOUN
ejpam-5788	609	13	,	,	PUNCT
ejpam-5788	609	14	while	while	SCONJ
ejpam-5788	609	15	the	the	DET
ejpam-5788	609	16	diagonal	diagonal	ADJ
ejpam-5788	609	17	elements	element	NOUN
ejpam-5788	609	18	of	of	ADP
ejpam-5788	609	19	the	the	DET
ejpam-5788	609	20	reciprocal	reciprocal	NOUN
ejpam-5788	609	21	of	of	ADP
ejpam-5788	609	22	the	the	DET
ejpam-5788	609	23	observed	observe	VERB
ejpam-5788	609	24	fisher	fisher	PROPN
ejpam-5788	609	25	information	information	NOUN
ejpam-5788	609	26	matrix	matrix	NOUN
ejpam-5788	609	27	were	be	AUX
ejpam-5788	609	28	considered	consider	VERB
ejpam-5788	609	29	as	as	ADP
ejpam-5788	609	30	the	the	DET
ejpam-5788	609	31	variance	variance	NOUN
ejpam-5788	609	32	of	of	ADP
ejpam-5788	609	33	the	the	DET
ejpam-5788	609	34	mles	mle	NOUN
ejpam-5788	609	35	.	.	PUNCT
ejpam-5788	610	1	the	the	DET
ejpam-5788	610	2	estimates	estimate	NOUN
ejpam-5788	610	3	are	be	AUX
ejpam-5788	610	4	displayed	display	VERB
ejpam-5788	610	5	in	in	ADP
ejpam-5788	610	6	tab.(7	tab.(7	NUM
ejpam-5788	610	7	)	)	PUNCT
ejpam-5788	610	8	.	.	PUNCT
ejpam-5788	611	1	the	the	DET
ejpam-5788	611	2	95	95	NUM
ejpam-5788	611	3	%	%	NOUN
ejpam-5788	611	4	n	n	CCONJ
ejpam-5788	611	5	-	-	PUNCT
ejpam-5788	611	6	boot	boot	NOUN
ejpam-5788	611	7	cis	cis	NOUN
ejpam-5788	611	8	,	,	PUNCT
ejpam-5788	611	9	together	together	ADV
ejpam-5788	611	10	with	with	ADP
ejpam-5788	611	11	the	the	DET
ejpam-5788	611	12	hpd	hpd	PROPN
ejpam-5788	611	13	credible	credible	ADJ
ejpam-5788	611	14	intervals	interval	NOUN
ejpam-5788	611	15	,	,	PUNCT
ejpam-5788	611	16	are	be	AUX
ejpam-5788	611	17	presented	present	VERB
ejpam-5788	611	18	in	in	ADP
ejpam-5788	611	19	tab.(7	tab.(7	NUM
ejpam-5788	611	20	)	)	PUNCT
ejpam-5788	611	21	.	.	PUNCT
ejpam-5788	612	1	the	the	DET
ejpam-5788	612	2	numerical	numerical	ADJ
ejpam-5788	612	3	illustration	illustration	NOUN
ejpam-5788	612	4	demonstrates	demonstrate	VERB
ejpam-5788	612	5	that	that	SCONJ
ejpam-5788	612	6	the	the	DET
ejpam-5788	612	7	means	mean	NOUN
ejpam-5788	612	8	of	of	ADP
ejpam-5788	612	9	the	the	DET
ejpam-5788	612	10	bayes	bayes	PROPN
ejpam-5788	612	11	estimates	estimate	NOUN
ejpam-5788	612	12	and	and	CCONJ
ejpam-5788	612	13	maximum	maximum	ADJ
ejpam-5788	612	14	likelihood	likelihood	NOUN
ejpam-5788	612	15	estimates	estimate	NOUN
ejpam-5788	612	16	(	(	PUNCT
ejpam-5788	612	17	mles	mle	NOUN
ejpam-5788	612	18	)	)	PUNCT
ejpam-5788	612	19	obtained	obtain	VERB
ejpam-5788	612	20	by	by	ADP
ejpam-5788	612	21	a.	a.	PROPN
ejpam-5788	612	22	a.	a.	PROPN
ejpam-5788	612	23	soliman	soliman	PROPN
ejpam-5788	612	24	et	et	PROPN
ejpam-5788	612	25	al	al	PROPN
ejpam-5788	612	26	.	.	PUNCT
ejpam-5788	612	27	/	/	SYM
ejpam-5788	612	28	eur	eur	PROPN
ejpam-5788	612	29	.	.	PUNCT
ejpam-5788	613	1	j.	j.	PROPN
ejpam-5788	613	2	pure	pure	PROPN
ejpam-5788	613	3	appl	appl	PROPN
ejpam-5788	613	4	.	.	PROPN
ejpam-5788	613	5	math	math	PROPN
ejpam-5788	613	6	,	,	PUNCT
ejpam-5788	613	7	18	18	NUM
ejpam-5788	613	8	(	(	PUNCT
ejpam-5788	613	9	2	2	NUM
ejpam-5788	613	10	)	)	PUNCT
ejpam-5788	613	11	(	(	PUNCT
ejpam-5788	613	12	2025	2025	NUM
ejpam-5788	613	13	)	)	PUNCT
ejpam-5788	613	14	,	,	PUNCT
ejpam-5788	613	15	5788	5788	NUM
ejpam-5788	613	16	27	27	NUM
ejpam-5788	613	17	of	of	ADP
ejpam-5788	613	18	34	34	NUM
ejpam-5788	613	19	table	table	NOUN
ejpam-5788	613	20	6	6	NUM
ejpam-5788	613	21	:	:	PUNCT
ejpam-5788	613	22	estimated	estimate	VERB
ejpam-5788	613	23	values	value	NOUN
ejpam-5788	613	24	of	of	ADP
ejpam-5788	613	25	θ	θ	PROPN
ejpam-5788	613	26	,	,	PUNCT
ejpam-5788	613	27	σ	σ	PROPN
ejpam-5788	613	28	,	,	PUNCT
ejpam-5788	613	29	and	and	CCONJ
ejpam-5788	613	30	λ	λ	NOUN
ejpam-5788	613	31	.	.	PUNCT
ejpam-5788	614	1	method−→	method−→	ADJ
ejpam-5788	614	2	mles	mle	NOUN
ejpam-5788	614	3	bayesian	bayesian	VERB
ejpam-5788	614	4	parameter↓	parameter↓	NOUN
ejpam-5788	614	5	nr	nr	NOUN
ejpam-5788	614	6	em	em	PRON
ejpam-5788	614	7	self	self	PROPN
ejpam-5788	614	8	llf	llf	PROPN
ejpam-5788	614	9	h∗	h∗	PROPN
ejpam-5788	614	10	=	=	SYM
ejpam-5788	614	11	−0.8	−0.8	PROPN
ejpam-5788	614	12	h∗	h∗	NOUN
ejpam-5788	614	13	=	=	NOUN
ejpam-5788	614	14	0.8	0.8	NUM
ejpam-5788	614	15	θ	θ	NOUN
ejpam-5788	614	16	=	=	SYM
ejpam-5788	614	17	0.5	0.5	NUM
ejpam-5788	614	18	estimate	estimate	NOUN
ejpam-5788	614	19	0.4544	0.4544	NUM
ejpam-5788	614	20	0.4643	0.4643	NUM
ejpam-5788	614	21	0.4706	0.4706	NUM
ejpam-5788	614	22	0.4722	0.4722	NUM
ejpam-5788	614	23	0.4691	0.4691	NUM
ejpam-5788	614	24	σ	σ	NOUN
ejpam-5788	614	25	=	=	SYM
ejpam-5788	614	26	1.0	1.0	NUM
ejpam-5788	614	27	estimate	estimate	VERB
ejpam-5788	614	28	1.0390	1.0390	NUM
ejpam-5788	614	29	1.0648	1.0648	NUM
ejpam-5788	614	30	1.1499	1.1499	NUM
ejpam-5788	614	31	1.1528	1.1528	NUM
ejpam-5788	614	32	1.1469	1.1469	NUM
ejpam-5788	614	33	λ	λ	X
ejpam-5788	614	34	=	=	SYM
ejpam-5788	614	35	1.5	1.5	NUM
ejpam-5788	614	36	estimate	estimate	VERB
ejpam-5788	614	37	1.5732	1.5732	NUM
ejpam-5788	614	38	1.4408	1.4408	NUM
ejpam-5788	614	39	1.7870	1.7870	NUM
ejpam-5788	614	40	1.8489	1.8489	NUM
ejpam-5788	614	41	1.7324	1.7324	NUM
ejpam-5788	614	42	table	table	NOUN
ejpam-5788	614	43	7	7	NUM
ejpam-5788	614	44	:	:	SYM
ejpam-5788	614	45	95	95	NUM
ejpam-5788	614	46	%	%	NOUN
ejpam-5788	614	47	confdence	confdence	NOUN
ejpam-5788	614	48	interval	interval	NOUN
ejpam-5788	614	49	(	(	PUNCT
ejpam-5788	614	50	ci	ci	NOUN
ejpam-5788	614	51	)	)	PUNCT
ejpam-5788	614	52	estimates	estimate	NOUN
ejpam-5788	614	53	of	of	ADP
ejpam-5788	614	54	θ	θ	PROPN
ejpam-5788	614	55	,	,	PUNCT
ejpam-5788	614	56	σ	σ	PROPN
ejpam-5788	614	57	and	and	CCONJ
ejpam-5788	614	58	λ	λ	PROPN
ejpam-5788	614	59	.	.	PUNCT
ejpam-5788	615	1	method−→	method−→	ADJ
ejpam-5788	615	2	mles	mle	NOUN
ejpam-5788	615	3	n	n	CCONJ
ejpam-5788	615	4	-	-	PUNCT
ejpam-5788	615	5	boot	boot	NOUN
ejpam-5788	615	6	bayesian	bayesian	NOUN
ejpam-5788	615	7	θ	θ	NOUN
ejpam-5788	615	8	=	=	SYM
ejpam-5788	615	9	0.5	0.5	NUM
ejpam-5788	615	10	95	95	NUM
ejpam-5788	615	11	%	%	NOUN
ejpam-5788	615	12	ci	ci	NOUN
ejpam-5788	615	13	(	(	PUNCT
ejpam-5788	615	14	0.4079	0.4079	NUM
ejpam-5788	615	15	,	,	PUNCT
ejpam-5788	615	16	0.5010	0.5010	NUM
ejpam-5788	615	17	)	)	PUNCT
ejpam-5788	615	18	(	(	PUNCT
ejpam-5788	615	19	0.3704	0.3704	NUM
ejpam-5788	615	20	,	,	PUNCT
ejpam-5788	615	21	1.3103	1.3103	NUM
ejpam-5788	615	22	)	)	PUNCT
ejpam-5788	615	23	(	(	PUNCT
ejpam-5788	615	24	0.3567	0.3567	NUM
ejpam-5788	615	25	,	,	PUNCT
ejpam-5788	615	26	0.5448	0.5448	NUM
ejpam-5788	615	27	)	)	PUNCT
ejpam-5788	615	28	σ	σ	NOUN
ejpam-5788	616	1	=	=	SYM
ejpam-5788	616	2	1.0	1.0	NUM
ejpam-5788	616	3	95	95	NUM
ejpam-5788	616	4	%	%	NOUN
ejpam-5788	616	5	ci	ci	NOUN
ejpam-5788	616	6	(	(	PUNCT
ejpam-5788	616	7	0.6944	0.6944	NUM
ejpam-5788	616	8	,	,	PUNCT
ejpam-5788	616	9	1.3836	1.3836	NUM
ejpam-5788	616	10	)	)	PUNCT
ejpam-5788	616	11	(	(	PUNCT
ejpam-5788	616	12	0.9629	0.9629	NUM
ejpam-5788	616	13	,	,	PUNCT
ejpam-5788	616	14	2.0927	2.0927	NUM
ejpam-5788	616	15	)	)	PUNCT
ejpam-5788	616	16	(	(	PUNCT
ejpam-5788	616	17	0.9812	0.9812	NUM
ejpam-5788	616	18	,	,	PUNCT
ejpam-5788	616	19	1.2213	1.2213	NUM
ejpam-5788	616	20	)	)	PUNCT
ejpam-5788	616	21	λ	λ	NOUN
ejpam-5788	616	22	=	=	NOUN
ejpam-5788	616	23	1.5	1.5	NUM
ejpam-5788	616	24	95	95	NUM
ejpam-5788	616	25	%	%	NOUN
ejpam-5788	616	26	ci	ci	NOUN
ejpam-5788	616	27	(	(	PUNCT
ejpam-5788	616	28	1.3264	1.3264	NUM
ejpam-5788	616	29	,	,	PUNCT
ejpam-5788	616	30	2.0545	2.0545	NUM
ejpam-5788	616	31	)	)	PUNCT
ejpam-5788	616	32	(	(	PUNCT
ejpam-5788	616	33	1.4541	1.4541	NUM
ejpam-5788	616	34	,	,	PUNCT
ejpam-5788	616	35	2.6006	2.6006	NUM
ejpam-5788	616	36	)	)	PUNCT
ejpam-5788	616	37	(	(	PUNCT
ejpam-5788	616	38	1.1472	1.1472	NUM
ejpam-5788	616	39	,	,	PUNCT
ejpam-5788	616	40	2.2459	2.2459	NUM
ejpam-5788	616	41	)	)	PUNCT
ejpam-5788	616	42	the	the	DET
ejpam-5788	616	43	newton	newton	PROPN
ejpam-5788	616	44	-	-	PUNCT
ejpam-5788	616	45	raphson	raphson	NOUN
ejpam-5788	616	46	(	(	PUNCT
ejpam-5788	616	47	nr	nr	NOUN
ejpam-5788	616	48	)	)	PUNCT
ejpam-5788	616	49	or	or	CCONJ
ejpam-5788	616	50	expectation	expectation	NOUN
ejpam-5788	616	51	-	-	PUNCT
ejpam-5788	616	52	maximization	maximization	NOUN
ejpam-5788	616	53	(	(	PUNCT
ejpam-5788	616	54	em	em	NOUN
ejpam-5788	616	55	)	)	PUNCT
ejpam-5788	616	56	algorithm	algorithm	NOUN
ejpam-5788	616	57	for	for	ADP
ejpam-5788	616	58	the	the	DET
ejpam-5788	616	59	unknown	unknown	ADJ
ejpam-5788	616	60	parameters	parameter	NOUN
ejpam-5788	616	61	θ	θ	PROPN
ejpam-5788	616	62	,	,	PUNCT
ejpam-5788	616	63	σ	σ	PROPN
ejpam-5788	616	64	,	,	PUNCT
ejpam-5788	616	65	and	and	CCONJ
ejpam-5788	616	66	λ	λ	PROPN
ejpam-5788	616	67	exhibit	exhibit	VERB
ejpam-5788	616	68	a	a	DET
ejpam-5788	616	69	high	high	ADJ
ejpam-5788	616	70	degree	degree	NOUN
ejpam-5788	616	71	of	of	ADP
ejpam-5788	616	72	proximity	proximity	NOUN
ejpam-5788	616	73	to	to	ADP
ejpam-5788	616	74	the	the	DET
ejpam-5788	616	75	true	true	ADJ
ejpam-5788	616	76	values	value	NOUN
ejpam-5788	616	77	.	.	PUNCT
ejpam-5788	617	1	3.2.2	3.2.2	X
ejpam-5788	617	2	.	.	X
ejpam-5788	617	3	insulating	insulate	VERB
ejpam-5788	617	4	fluid	fluid	NOUN
ejpam-5788	617	5	this	this	DET
ejpam-5788	617	6	application	application	NOUN
ejpam-5788	617	7	provides	provide	VERB
ejpam-5788	617	8	an	an	DET
ejpam-5788	617	9	analysis	analysis	NOUN
ejpam-5788	617	10	of	of	ADP
ejpam-5788	617	11	the	the	DET
ejpam-5788	617	12	time	time	NOUN
ejpam-5788	617	13	-	-	PUNCT
ejpam-5788	617	14	to	to	ADP
ejpam-5788	617	15	-	-	PUNCT
ejpam-5788	617	16	breakdown	breakdown	NOUN
ejpam-5788	617	17	(	(	PUNCT
ejpam-5788	617	18	measured	measure	VERB
ejpam-5788	617	19	in	in	ADP
ejpam-5788	617	20	seconds	second	NOUN
ejpam-5788	617	21	)	)	PUNCT
ejpam-5788	617	22	of	of	ADP
ejpam-5788	617	23	an	an	DET
ejpam-5788	617	24	insulating	insulate	VERB
ejpam-5788	617	25	fluid	fluid	NOUN
ejpam-5788	617	26	during	during	ADP
ejpam-5788	617	27	a	a	DET
ejpam-5788	617	28	voltage	voltage	NOUN
ejpam-5788	617	29	endurance	endurance	NOUN
ejpam-5788	617	30	test	test	NOUN
ejpam-5788	617	31	conducted	conduct	VERB
ejpam-5788	617	32	under	under	ADP
ejpam-5788	617	33	varying	vary	VERB
ejpam-5788	617	34	stress	stress	NOUN
ejpam-5788	617	35	levels	level	NOUN
ejpam-5788	617	36	.	.	PUNCT
ejpam-5788	618	1	the	the	DET
ejpam-5788	618	2	longevity	longevity	NOUN
ejpam-5788	618	3	of	of	ADP
ejpam-5788	618	4	various	various	ADJ
ejpam-5788	618	5	industrial	industrial	ADJ
ejpam-5788	618	6	components	component	NOUN
ejpam-5788	618	7	is	be	AUX
ejpam-5788	618	8	contingent	contingent	ADJ
ejpam-5788	618	9	upon	upon	SCONJ
ejpam-5788	618	10	the	the	DET
ejpam-5788	618	11	durability	durability	NOUN
ejpam-5788	618	12	of	of	ADP
ejpam-5788	618	13	their	their	PRON
ejpam-5788	618	14	electrical	electrical	ADJ
ejpam-5788	618	15	insulation	insulation	NOUN
ejpam-5788	618	16	.	.	PUNCT
ejpam-5788	619	1	enhancing	enhance	VERB
ejpam-5788	619	2	the	the	DET
ejpam-5788	619	3	efficiency	efficiency	NOUN
ejpam-5788	619	4	of	of	ADP
ejpam-5788	619	5	the	the	DET
ejpam-5788	619	6	life	life	NOUN
ejpam-5788	619	7	test	test	NOUN
ejpam-5788	619	8	can	can	AUX
ejpam-5788	619	9	be	be	AUX
ejpam-5788	619	10	achieved	achieve	VERB
ejpam-5788	619	11	by	by	ADP
ejpam-5788	619	12	implementing	implement	VERB
ejpam-5788	619	13	accelerating	accelerate	VERB
ejpam-5788	619	14	circumstances	circumstance	NOUN
ejpam-5788	619	15	,	,	PUNCT
ejpam-5788	619	16	such	such	ADJ
ejpam-5788	619	17	as	as	ADP
ejpam-5788	619	18	increasing	increase	VERB
ejpam-5788	619	19	the	the	DET
ejpam-5788	619	20	voltage	voltage	NOUN
ejpam-5788	619	21	.	.	PUNCT
ejpam-5788	620	1	ref.[43	ref.[43	NOUN
ejpam-5788	620	2	]	]	PUNCT
ejpam-5788	620	3	conducted	conduct	VERB
ejpam-5788	620	4	a	a	DET
ejpam-5788	620	5	study	study	NOUN
ejpam-5788	620	6	on	on	ADP
ejpam-5788	620	7	accelerated	accelerated	ADJ
ejpam-5788	620	8	tests	test	NOUN
ejpam-5788	620	9	,	,	PUNCT
ejpam-5788	620	10	wherein	wherein	SCONJ
ejpam-5788	620	11	varying	vary	VERB
ejpam-5788	620	12	magnitudes	magnitude	NOUN
ejpam-5788	620	13	of	of	ADP
ejpam-5788	620	14	voltage	voltage	NOUN
ejpam-5788	620	15	were	be	AUX
ejpam-5788	620	16	applied	apply	VERB
ejpam-5788	620	17	to	to	ADP
ejpam-5788	620	18	distinct	distinct	ADJ
ejpam-5788	620	19	experimental	experimental	ADJ
ejpam-5788	620	20	groups	group	NOUN
ejpam-5788	620	21	.	.	PUNCT
ejpam-5788	621	1	according	accord	VERB
ejpam-5788	621	2	to	to	ADP
ejpam-5788	621	3	ref.[43	ref.[43	NOUN
ejpam-5788	621	4	]	]	PUNCT
ejpam-5788	621	5	,	,	PUNCT
ejpam-5788	621	6	there	there	PRON
ejpam-5788	621	7	are	be	VERB
ejpam-5788	621	8	two	two	NUM
ejpam-5788	621	9	stress	stress	NOUN
ejpam-5788	621	10	levels	level	NOUN
ejpam-5788	621	11	that	that	PRON
ejpam-5788	621	12	have	have	AUX
ejpam-5788	621	13	been	be	AUX
ejpam-5788	621	14	identified	identify	VERB
ejpam-5788	621	15	;	;	PUNCT
ejpam-5788	621	16	30	30	NUM
ejpam-5788	621	17	kilovolt	kilovolt	NOUN
ejpam-5788	621	18	,	,	PUNCT
ejpam-5788	621	19	which	which	PRON
ejpam-5788	621	20	represents	represent	VERB
ejpam-5788	621	21	typical	typical	ADJ
ejpam-5788	621	22	use	use	NOUN
ejpam-5788	621	23	,	,	PUNCT
ejpam-5788	621	24	and	and	CCONJ
ejpam-5788	621	25	32	32	NUM
ejpam-5788	621	26	kilovolt	kilovolt	NOUN
ejpam-5788	621	27	,	,	PUNCT
ejpam-5788	621	28	which	which	PRON
ejpam-5788	621	29	represents	represent	VERB
ejpam-5788	621	30	rapid	rapid	ADJ
ejpam-5788	621	31	stress	stress	NOUN
ejpam-5788	621	32	.	.	PUNCT
ejpam-5788	622	1	the	the	DET
ejpam-5788	622	2	data	datum	NOUN
ejpam-5788	622	3	is	be	AUX
ejpam-5788	622	4	shown	show	VERB
ejpam-5788	622	5	in	in	ADP
ejpam-5788	622	6	tab.(8	tab.(8	PROPN
ejpam-5788	622	7	)	)	PUNCT
ejpam-5788	622	8	.	.	PUNCT
ejpam-5788	623	1	table	table	NOUN
ejpam-5788	623	2	8	8	NUM
ejpam-5788	623	3	:	:	PUNCT
ejpam-5788	623	4	oil	oil	NOUN
ejpam-5788	623	5	breakdown	breakdown	NOUN
ejpam-5788	623	6	times	time	NOUN
ejpam-5788	623	7	of	of	ADP
ejpam-5788	623	8	insulating	insulate	VERB
ejpam-5788	623	9	fluid	fluid	NOUN
ejpam-5788	623	10	.	.	PUNCT
ejpam-5788	624	1	constant	constant	ADJ
ejpam-5788	624	2	stress	stress	NOUN
ejpam-5788	624	3	condition	condition	NOUN
ejpam-5788	624	4	194.90	194.90	NUM
ejpam-5788	624	5	,	,	PUNCT
ejpam-5788	624	6	175.88	175.88	NUM
ejpam-5788	624	7	,	,	PUNCT
ejpam-5788	624	8	144.12	144.12	NUM
ejpam-5788	624	9	,	,	PUNCT
ejpam-5788	624	10	139.07	139.07	NUM
ejpam-5788	624	11	,	,	PUNCT
ejpam-5788	624	12	47.30	47.30	NUM
ejpam-5788	624	13	,	,	PUNCT
ejpam-5788	624	14	43.40	43.40	NUM
ejpam-5788	624	15	,	,	PUNCT
ejpam-5788	624	16	22.66	22.66	NUM
ejpam-5788	624	17	,	,	PUNCT
ejpam-5788	624	18	21.02	21.02	NUM
ejpam-5788	624	19	,	,	PUNCT
ejpam-5788	624	20	20.46	20.46	NUM
ejpam-5788	624	21	,	,	PUNCT
ejpam-5788	624	22	17.05	17.05	NUM
ejpam-5788	624	23	,	,	PUNCT
ejpam-5788	624	24	7.74	7.74	NUM
ejpam-5788	624	25	accelerated	accelerate	VERB
ejpam-5788	624	26	stress	stress	NOUN
ejpam-5788	624	27	condition	condition	NOUN
ejpam-5788	624	28	215.10	215.10	NUM
ejpam-5788	624	29	,	,	PUNCT
ejpam-5788	624	30	100.58	100.58	NUM
ejpam-5788	624	31	,	,	PUNCT
ejpam-5788	624	32	89.29	89.29	NUM
ejpam-5788	624	33	,	,	PUNCT
ejpam-5788	624	34	82.85	82.85	NUM
ejpam-5788	624	35	,	,	PUNCT
ejpam-5788	624	36	53.24	53.24	NUM
ejpam-5788	624	37	,	,	PUNCT
ejpam-5788	624	38	27.80	27.80	NUM
ejpam-5788	624	39	,	,	PUNCT
ejpam-5788	624	40	15.93	15.93	NUM
ejpam-5788	624	41	,	,	PUNCT
ejpam-5788	624	42	13.95	13.95	NUM
ejpam-5788	624	43	,	,	PUNCT
ejpam-5788	624	44	9.88	9.88	NUM
ejpam-5788	624	45	,	,	PUNCT
ejpam-5788	624	46	3.91	3.91	NUM
ejpam-5788	624	47	,	,	PUNCT
ejpam-5788	624	48	2.75	2.75	NUM
ejpam-5788	624	49	,	,	PUNCT
ejpam-5788	624	50	0.79	0.79	NUM
ejpam-5788	624	51	,	,	PUNCT
ejpam-5788	624	52	0.69	0.69	NUM
ejpam-5788	624	53	,	,	PUNCT
ejpam-5788	624	54	0.40	0.40	NUM
ejpam-5788	624	55	,	,	PUNCT
ejpam-5788	624	56	0.27	0.27	NUM
ejpam-5788	624	57	before	before	ADP
ejpam-5788	624	58	performing	perform	VERB
ejpam-5788	624	59	parameter	parameter	NOUN
ejpam-5788	624	60	estimation	estimation	NOUN
ejpam-5788	624	61	,	,	PUNCT
ejpam-5788	624	62	the	the	DET
ejpam-5788	624	63	adequacy	adequacy	NOUN
ejpam-5788	624	64	of	of	ADP
ejpam-5788	624	65	the	the	DET
ejpam-5788	624	66	dataset	dataset	NOUN
ejpam-5788	624	67	’s	’s	PART
ejpam-5788	624	68	fit	fit	NOUN
ejpam-5788	624	69	to	to	ADP
ejpam-5788	624	70	the	the	DET
ejpam-5788	624	71	npt	npt	PROPN
ejpam-5788	624	72	distribution	distribution	NOUN
ejpam-5788	624	73	was	be	AUX
ejpam-5788	624	74	assessed	assess	VERB
ejpam-5788	624	75	.	.	PUNCT
ejpam-5788	625	1	the	the	DET
ejpam-5788	625	2	kolmogorov	kolmogorov	ADJ
ejpam-5788	625	3	-	-	PUNCT
ejpam-5788	625	4	smirnov	smirnov	ADJ
ejpam-5788	625	5	test	test	NOUN
ejpam-5788	625	6	(	(	PUNCT
ejpam-5788	625	7	ks	ks	NOUN
ejpam-5788	625	8	test	test	NOUN
ejpam-5788	625	9	)	)	PUNCT
ejpam-5788	625	10	was	be	AUX
ejpam-5788	625	11	employed	employ	VERB
ejpam-5788	625	12	as	as	ADP
ejpam-5788	625	13	a	a	DET
ejpam-5788	625	14	means	means	NOUN
ejpam-5788	625	15	to	to	PART
ejpam-5788	625	16	quantify	quantify	VERB
ejpam-5788	625	17	the	the	DET
ejpam-5788	625	18	deviation	deviation	NOUN
ejpam-5788	625	19	of	of	ADP
ejpam-5788	625	20	the	the	DET
ejpam-5788	625	21	data	datum	NOUN
ejpam-5788	625	22	from	from	ADP
ejpam-5788	625	23	the	the	DET
ejpam-5788	625	24	underlying	underlie	VERB
ejpam-5788	625	25	distribution	distribution	NOUN
ejpam-5788	625	26	.	.	PUNCT
ejpam-5788	626	1	the	the	DET
ejpam-5788	626	2	ks	ks	PROPN
ejpam-5788	626	3	distance	distance	NOUN
ejpam-5788	626	4	and	and	CCONJ
ejpam-5788	626	5	p	p	NOUN
ejpam-5788	626	6	-	-	PUNCT
ejpam-5788	626	7	value	value	NOUN
ejpam-5788	626	8	of	of	ADP
ejpam-5788	626	9	the	the	DET
ejpam-5788	626	10	data	datum	NOUN
ejpam-5788	626	11	obtained	obtain	VERB
ejpam-5788	626	12	from	from	ADP
ejpam-5788	626	13	the	the	DET
ejpam-5788	626	14	constant	constant	ADJ
ejpam-5788	626	15	stress	stress	NOUN
ejpam-5788	626	16	condition	condition	NOUN
ejpam-5788	626	17	were	be	AUX
ejpam-5788	626	18	determined	determine	VERB
ejpam-5788	626	19	to	to	PART
ejpam-5788	626	20	be	be	AUX
ejpam-5788	626	21	0.2146	0.2146	NUM
ejpam-5788	626	22	and	and	CCONJ
ejpam-5788	626	23	0.6178	0.6178	NUM
ejpam-5788	626	24	,	,	PUNCT
ejpam-5788	626	25	respectively	respectively	ADV
ejpam-5788	626	26	.	.	PUNCT
ejpam-5788	627	1	similarly	similarly	ADV
ejpam-5788	627	2	,	,	PUNCT
ejpam-5788	627	3	the	the	DET
ejpam-5788	627	4	ks	ks	NOUN
ejpam-5788	627	5	distance	distance	NOUN
ejpam-5788	627	6	and	and	CCONJ
ejpam-5788	627	7	p	p	NOUN
ejpam-5788	627	8	-	-	PUNCT
ejpam-5788	627	9	value	value	NOUN
ejpam-5788	627	10	of	of	ADP
ejpam-5788	627	11	the	the	DET
ejpam-5788	627	12	data	datum	NOUN
ejpam-5788	627	13	obtained	obtain	VERB
ejpam-5788	627	14	from	from	ADP
ejpam-5788	627	15	the	the	DET
ejpam-5788	627	16	accelerated	accelerated	ADJ
ejpam-5788	627	17	stress	stress	NOUN
ejpam-5788	627	18	condition	condition	NOUN
ejpam-5788	627	19	were	be	AUX
ejpam-5788	627	20	found	find	VERB
ejpam-5788	627	21	to	to	PART
ejpam-5788	627	22	be	be	AUX
ejpam-5788	627	23	0.2179	0.2179	NUM
ejpam-5788	627	24	and	and	CCONJ
ejpam-5788	627	25	0.4149	0.4149	NUM
ejpam-5788	627	26	,	,	PUNCT
ejpam-5788	627	27	a.	a.	NOUN
ejpam-5788	627	28	a.	a.	PROPN
ejpam-5788	627	29	soliman	soliman	PROPN
ejpam-5788	627	30	et	et	PROPN
ejpam-5788	627	31	al	al	PROPN
ejpam-5788	627	32	.	.	PUNCT
ejpam-5788	627	33	/	/	SYM
ejpam-5788	627	34	eur	eur	PROPN
ejpam-5788	627	35	.	.	PUNCT
ejpam-5788	628	1	j.	j.	PROPN
ejpam-5788	628	2	pure	pure	PROPN
ejpam-5788	628	3	appl	appl	PROPN
ejpam-5788	628	4	.	.	PROPN
ejpam-5788	628	5	math	math	PROPN
ejpam-5788	628	6	,	,	PUNCT
ejpam-5788	628	7	18	18	NUM
ejpam-5788	628	8	(	(	PUNCT
ejpam-5788	628	9	2	2	NUM
ejpam-5788	628	10	)	)	PUNCT
ejpam-5788	628	11	(	(	PUNCT
ejpam-5788	628	12	2025	2025	NUM
ejpam-5788	628	13	)	)	PUNCT
ejpam-5788	628	14	,	,	PUNCT
ejpam-5788	628	15	5788	5788	NUM
ejpam-5788	628	16	28	28	NUM
ejpam-5788	628	17	of	of	ADP
ejpam-5788	628	18	34	34	NUM
ejpam-5788	628	19	respectively	respectively	ADV
ejpam-5788	628	20	.	.	PUNCT
ejpam-5788	629	1	thus	thus	ADV
ejpam-5788	629	2	,	,	PUNCT
ejpam-5788	629	3	we	we	PRON
ejpam-5788	629	4	ensured	ensure	VERB
ejpam-5788	629	5	that	that	SCONJ
ejpam-5788	629	6	the	the	DET
ejpam-5788	629	7	npt	npt	PROPN
ejpam-5788	629	8	distribution	distribution	NOUN
ejpam-5788	629	9	is	be	AUX
ejpam-5788	629	10	considered	consider	VERB
ejpam-5788	629	11	an	an	DET
ejpam-5788	629	12	appropriate	appropriate	ADJ
ejpam-5788	629	13	distribution	distribution	NOUN
ejpam-5788	629	14	for	for	ADP
ejpam-5788	629	15	this	this	DET
ejpam-5788	629	16	data	datum	NOUN
ejpam-5788	629	17	.	.	PUNCT
ejpam-5788	630	1	for	for	ADP
ejpam-5788	630	2	further	further	ADJ
ejpam-5788	630	3	illustration	illustration	NOUN
ejpam-5788	630	4	,	,	PUNCT
ejpam-5788	630	5	the	the	DET
ejpam-5788	630	6	empirical	empirical	ADJ
ejpam-5788	630	7	cumulative	cumulative	ADJ
ejpam-5788	630	8	distribution	distribution	NOUN
ejpam-5788	630	9	plot	plot	NOUN
ejpam-5788	630	10	with	with	ADP
ejpam-5788	630	11	fitted	fit	VERB
ejpam-5788	630	12	theoretical	theoretical	ADJ
ejpam-5788	630	13	npt	npt	PROPN
ejpam-5788	630	14	distribution	distribution	NOUN
ejpam-5788	630	15	cdf	cdf	NOUN
ejpam-5788	630	16	where	where	SCONJ
ejpam-5788	630	17	the	the	DET
ejpam-5788	630	18	model	model	NOUN
ejpam-5788	630	19	parameters	parameter	NOUN
ejpam-5788	630	20	is	be	AUX
ejpam-5788	630	21	estimated	estimate	VERB
ejpam-5788	630	22	from	from	ADP
ejpam-5788	630	23	the	the	DET
ejpam-5788	630	24	complete	complete	ADJ
ejpam-5788	630	25	real	real	ADJ
ejpam-5788	630	26	life	life	NOUN
ejpam-5788	630	27	data	datum	NOUN
ejpam-5788	630	28	based	base	VERB
ejpam-5788	630	29	on	on	ADP
ejpam-5788	630	30	maximum	maximum	ADJ
ejpam-5788	630	31	likelihood	likelihood	NOUN
ejpam-5788	630	32	method	method	NOUN
ejpam-5788	630	33	.	.	PUNCT
ejpam-5788	631	1	in	in	ADP
ejpam-5788	631	2	this	this	DET
ejpam-5788	631	3	goodnessof	goodnessof	NOUN
ejpam-5788	631	4	-	-	PUNCT
ejpam-5788	631	5	fit	fit	NOUN
ejpam-5788	631	6	approach	approach	NOUN
ejpam-5788	631	7	,	,	PUNCT
ejpam-5788	631	8	probability	probability	NOUN
ejpam-5788	631	9	-	-	PUNCT
ejpam-5788	631	10	probability	probability	NOUN
ejpam-5788	631	11	(	(	PUNCT
ejpam-5788	631	12	p−p	p−p	PROPN
ejpam-5788	631	13	)	)	PUNCT
ejpam-5788	631	14	and	and	CCONJ
ejpam-5788	631	15	quantile	quantile	NOUN
ejpam-5788	631	16	-	-	PUNCT
ejpam-5788	631	17	quantile	quantile	NOUN
ejpam-5788	631	18	(	(	PUNCT
ejpam-5788	631	19	q−q	q−q	PROPN
ejpam-5788	631	20	)	)	PUNCT
ejpam-5788	631	21	plots	plot	NOUN
ejpam-5788	631	22	are	be	AUX
ejpam-5788	631	23	also	also	ADV
ejpam-5788	631	24	provided	provide	VERB
ejpam-5788	631	25	in	in	ADP
ejpam-5788	631	26	figs.(2	figs.(2	NOUN
ejpam-5788	631	27	)	)	PUNCT
ejpam-5788	631	28	and	and	CCONJ
ejpam-5788	631	29	(	(	PUNCT
ejpam-5788	631	30	3	3	X
ejpam-5788	631	31	)	)	PUNCT
ejpam-5788	631	32	which	which	PRON
ejpam-5788	631	33	indicates	indicate	VERB
ejpam-5788	631	34	that	that	SCONJ
ejpam-5788	631	35	the	the	DET
ejpam-5788	631	36	npt	npt	PROPN
ejpam-5788	631	37	distribution	distribution	NOUN
ejpam-5788	631	38	provides	provide	VERB
ejpam-5788	631	39	a	a	DET
ejpam-5788	631	40	good	good	ADJ
ejpam-5788	631	41	fit	fit	NOUN
ejpam-5788	631	42	to	to	ADP
ejpam-5788	631	43	the	the	DET
ejpam-5788	631	44	data	datum	NOUN
ejpam-5788	631	45	as	as	ADV
ejpam-5788	631	46	well	well	ADV
ejpam-5788	631	47	.	.	PUNCT
ejpam-5788	632	1	50	50	NUM
ejpam-5788	632	2	100	100	NUM
ejpam-5788	632	3	150	150	NUM
ejpam-5788	632	4	200	200	NUM
ejpam-5788	632	5	0	0	NUM
ejpam-5788	632	6	.0	.0	NUM
ejpam-5788	632	7	0	0	NUM
ejpam-5788	633	1	.2	.2	NUM
ejpam-5788	633	2	0	0	NUM
ejpam-5788	634	1	.4	.4	NUM
ejpam-5788	634	2	0	0	NUM
ejpam-5788	635	1	.6	.6	NUM
ejpam-5788	635	2	0	0	NUM
ejpam-5788	635	3	.8	.8	NUM
ejpam-5788	635	4	1	1	NUM
ejpam-5788	635	5	.0	.0	NUM
ejpam-5788	635	6	50	50	NUM
ejpam-5788	635	7	100	100	NUM
ejpam-5788	635	8	150	150	NUM
ejpam-5788	635	9	200	200	NUM
ejpam-5788	635	10	0	0	NUM
ejpam-5788	635	11	.0	.0	NUM
ejpam-5788	635	12	0	0	NUM
ejpam-5788	636	1	.2	.2	NUM
ejpam-5788	636	2	0	0	NUM
ejpam-5788	637	1	.4	.4	NUM
ejpam-5788	637	2	0	0	NUM
ejpam-5788	638	1	.6	.6	NUM
ejpam-5788	638	2	0	0	NUM
ejpam-5788	638	3	.8	.8	NUM
ejpam-5788	638	4	1	1	NUM
ejpam-5788	638	5	.0	.0	NUM
ejpam-5788	638	6	50	50	NUM
ejpam-5788	638	7	100	100	NUM
ejpam-5788	638	8	150	150	NUM
ejpam-5788	638	9	200	200	NUM
ejpam-5788	638	10	0	0	NUM
ejpam-5788	638	11	.0	.0	NUM
ejpam-5788	638	12	0	0	NUM
ejpam-5788	639	1	.2	.2	NUM
ejpam-5788	639	2	0	0	NUM
ejpam-5788	640	1	.4	.4	NUM
ejpam-5788	640	2	0	0	NUM
ejpam-5788	641	1	.6	.6	NUM
ejpam-5788	641	2	0	0	NUM
ejpam-5788	641	3	.8	.8	NUM
ejpam-5788	641	4	1	1	NUM
ejpam-5788	641	5	.0	.0	NUM
ejpam-5788	641	6	50	50	NUM
ejpam-5788	641	7	100	100	NUM
ejpam-5788	641	8	150	150	NUM
ejpam-5788	641	9	200	200	NUM
ejpam-5788	641	10	0	0	NUM
ejpam-5788	641	11	.0	.0	NUM
ejpam-5788	641	12	0	0	NUM
ejpam-5788	642	1	.2	.2	NUM
ejpam-5788	642	2	0	0	NUM
ejpam-5788	643	1	.4	.4	NUM
ejpam-5788	643	2	0	0	NUM
ejpam-5788	644	1	.6	.6	NUM
ejpam-5788	644	2	0	0	NUM
ejpam-5788	644	3	.8	.8	NUM
ejpam-5788	644	4	1	1	NUM
ejpam-5788	644	5	.0	.0	NUM
ejpam-5788	644	6	50	50	NUM
ejpam-5788	644	7	100	100	NUM
ejpam-5788	644	8	150	150	NUM
ejpam-5788	644	9	200	200	NUM
ejpam-5788	644	10	0	0	NUM
ejpam-5788	644	11	.0	.0	NUM
ejpam-5788	644	12	0	0	NUM
ejpam-5788	645	1	.2	.2	NUM
ejpam-5788	645	2	0	0	NUM
ejpam-5788	646	1	.4	.4	NUM
ejpam-5788	646	2	0	0	NUM
ejpam-5788	647	1	.6	.6	NUM
ejpam-5788	647	2	0	0	NUM
ejpam-5788	647	3	.8	.8	NUM
ejpam-5788	647	4	1	1	NUM
ejpam-5788	647	5	.0	.0	NUM
ejpam-5788	648	1	x1	x1	NUM
ejpam-5788	648	2	f	f	NOUN
ejpam-5788	648	3	1	1	NUM
ejpam-5788	648	4	(	(	PUNCT
ejpam-5788	648	5	x	x	NOUN
ejpam-5788	648	6	1	1	X
ejpam-5788	648	7	)	)	PUNCT
ejpam-5788	648	8	−1.5	−1.5	PROPN
ejpam-5788	649	1	−1.0	−1.0	PROPN
ejpam-5788	649	2	−0.5	−0.5	NUM
ejpam-5788	649	3	0.0	0.0	NUM
ejpam-5788	649	4	0.5	0.5	NUM
ejpam-5788	649	5	1.0	1.0	NUM
ejpam-5788	649	6	1.5	1.5	NUM
ejpam-5788	649	7	5	5	NUM
ejpam-5788	649	8	0	0	NUM
ejpam-5788	649	9	1	1	NUM
ejpam-5788	649	10	0	0	NUM
ejpam-5788	649	11	0	0	NUM
ejpam-5788	649	12	1	1	NUM
ejpam-5788	649	13	5	5	NUM
ejpam-5788	649	14	0	0	NUM
ejpam-5788	649	15	2	2	NUM
ejpam-5788	649	16	0	0	NUM
ejpam-5788	649	17	0	0	NUM
ejpam-5788	649	18	theoretical	theoretical	ADJ
ejpam-5788	649	19	quantiles	quantile	NOUN
ejpam-5788	649	20	s	s	VERB
ejpam-5788	649	21	a	a	DET
ejpam-5788	649	22	m	m	NOUN
ejpam-5788	649	23	p	p	X
ejpam-5788	649	24	le	le	X
ejpam-5788	649	25	q	q	PROPN
ejpam-5788	649	26	u	u	PROPN
ejpam-5788	649	27	a	a	PRON
ejpam-5788	649	28	n	n	NOUN
ejpam-5788	649	29	ti	ti	X
ejpam-5788	649	30	le	le	X
ejpam-5788	649	31	s	s	AUX
ejpam-5788	649	32	estimated	estimate	VERB
ejpam-5788	649	33	np	np	INTJ
ejpam-5788	649	34	distribution	distribution	NOUN
ejpam-5788	650	1	e	e	NOUN
ejpam-5788	650	2	m	m	VERB
ejpam-5788	650	3	p	p	NOUN
ejpam-5788	650	4	ir	ir	PROPN
ejpam-5788	650	5	ic	ic	PROPN
ejpam-5788	650	6	a	a	DET
ejpam-5788	650	7	l	l	NOUN
ejpam-5788	650	8	c	c	NOUN
ejpam-5788	650	9	u	u	NOUN
ejpam-5788	650	10	m	m	VERB
ejpam-5788	650	11	u	u	NOUN
ejpam-5788	650	12	la	la	X
ejpam-5788	650	13	ti	ti	X
ejpam-5788	650	14	v	v	ADP
ejpam-5788	650	15	e	e	PROPN
ejpam-5788	650	16	d	d	NOUN
ejpam-5788	650	17	is	be	AUX
ejpam-5788	650	18	tr	tr	VERB
ejpam-5788	650	19	ib	ib	NOUN
ejpam-5788	650	20	u	u	NOUN
ejpam-5788	650	21	ti	ti	NOUN
ejpam-5788	650	22	o	o	NOUN
ejpam-5788	650	23	n	n	PROPN
ejpam-5788	651	1	0.0	0.0	NUM
ejpam-5788	651	2	0.2	0.2	NUM
ejpam-5788	651	3	0.4	0.4	NUM
ejpam-5788	651	4	0.6	0.6	NUM
ejpam-5788	651	5	0.8	0.8	NUM
ejpam-5788	651	6	1.0	1.0	NUM
ejpam-5788	651	7	0	0	NUM
ejpam-5788	651	8	.0	.0	NUM
ejpam-5788	651	9	0	0	NUM
ejpam-5788	652	1	.2	.2	NUM
ejpam-5788	652	2	0	0	NUM
ejpam-5788	653	1	.4	.4	NUM
ejpam-5788	653	2	0	0	NUM
ejpam-5788	654	1	.6	.6	NUM
ejpam-5788	654	2	0	0	NUM
ejpam-5788	654	3	.8	.8	NUM
ejpam-5788	654	4	1	1	NUM
ejpam-5788	654	5	.0	.0	NUM
ejpam-5788	654	6	figure	figure	NOUN
ejpam-5788	654	7	2	2	NUM
ejpam-5788	654	8	:	:	PUNCT
ejpam-5788	654	9	ecd	ecd	PROPN
ejpam-5788	654	10	,	,	PUNCT
ejpam-5788	654	11	p	p	NOUN
ejpam-5788	654	12	-	-	PUNCT
ejpam-5788	654	13	p	p	X
ejpam-5788	654	14	,	,	PUNCT
ejpam-5788	654	15	and	and	CCONJ
ejpam-5788	654	16	q	q	X
ejpam-5788	654	17	-	-	PUNCT
ejpam-5788	654	18	q	q	NOUN
ejpam-5788	654	19	plots	plot	NOUN
ejpam-5788	654	20	for	for	ADP
ejpam-5788	654	21	normal	normal	ADJ
ejpam-5788	654	22	conditions	condition	NOUN
ejpam-5788	654	23	.	.	PUNCT
ejpam-5788	655	1	0	0	NUM
ejpam-5788	656	1	50	50	NUM
ejpam-5788	656	2	100	100	NUM
ejpam-5788	656	3	150	150	NUM
ejpam-5788	656	4	200	200	NUM
ejpam-5788	656	5	0	0	NUM
ejpam-5788	656	6	.0	.0	NUM
ejpam-5788	656	7	0	0	NUM
ejpam-5788	657	1	.2	.2	NUM
ejpam-5788	657	2	0	0	NUM
ejpam-5788	658	1	.4	.4	NUM
ejpam-5788	658	2	0	0	NUM
ejpam-5788	659	1	.6	.6	NUM
ejpam-5788	659	2	0	0	NUM
ejpam-5788	659	3	.8	.8	NUM
ejpam-5788	659	4	1	1	NUM
ejpam-5788	659	5	.0	.0	NUM
ejpam-5788	659	6	0	0	NUM
ejpam-5788	659	7	50	50	NUM
ejpam-5788	659	8	100	100	NUM
ejpam-5788	659	9	150	150	NUM
ejpam-5788	659	10	200	200	NUM
ejpam-5788	659	11	0	0	NUM
ejpam-5788	659	12	.0	.0	NUM
ejpam-5788	659	13	0	0	NUM
ejpam-5788	660	1	.2	.2	NUM
ejpam-5788	660	2	0	0	NUM
ejpam-5788	661	1	.4	.4	NUM
ejpam-5788	661	2	0	0	NUM
ejpam-5788	662	1	.6	.6	NUM
ejpam-5788	662	2	0	0	NUM
ejpam-5788	662	3	.8	.8	NUM
ejpam-5788	662	4	1	1	NUM
ejpam-5788	662	5	.0	.0	NUM
ejpam-5788	663	1	x2	x2	NOUN
ejpam-5788	663	2	f	f	NOUN
ejpam-5788	663	3	2	2	NUM
ejpam-5788	663	4	(	(	PUNCT
ejpam-5788	663	5	x	x	NOUN
ejpam-5788	663	6	2	2	X
ejpam-5788	663	7	)	)	PUNCT
ejpam-5788	663	8	−1.5	−1.5	PROPN
ejpam-5788	664	1	−1.0	−1.0	PROPN
ejpam-5788	664	2	−0.5	−0.5	NUM
ejpam-5788	664	3	0.0	0.0	NUM
ejpam-5788	664	4	0.5	0.5	NUM
ejpam-5788	664	5	1.0	1.0	NUM
ejpam-5788	664	6	1.5	1.5	NUM
ejpam-5788	664	7	0	0	NUM
ejpam-5788	664	8	5	5	NUM
ejpam-5788	664	9	0	0	NUM
ejpam-5788	664	10	1	1	NUM
ejpam-5788	664	11	0	0	NUM
ejpam-5788	664	12	0	0	NUM
ejpam-5788	664	13	1	1	NUM
ejpam-5788	664	14	5	5	NUM
ejpam-5788	664	15	0	0	NUM
ejpam-5788	664	16	2	2	NUM
ejpam-5788	664	17	0	0	NUM
ejpam-5788	664	18	0	0	NUM
ejpam-5788	664	19	theoretical	theoretical	ADJ
ejpam-5788	664	20	quantiles	quantile	NOUN
ejpam-5788	664	21	s	s	VERB
ejpam-5788	664	22	a	a	DET
ejpam-5788	664	23	m	m	NOUN
ejpam-5788	664	24	p	p	X
ejpam-5788	664	25	le	le	X
ejpam-5788	664	26	q	q	PROPN
ejpam-5788	664	27	u	u	PROPN
ejpam-5788	664	28	a	a	PRON
ejpam-5788	664	29	n	n	NOUN
ejpam-5788	664	30	ti	ti	X
ejpam-5788	664	31	le	le	X
ejpam-5788	664	32	s	s	AUX
ejpam-5788	664	33	estimated	estimate	VERB
ejpam-5788	664	34	np	np	INTJ
ejpam-5788	664	35	distribution	distribution	NOUN
ejpam-5788	665	1	e	e	NOUN
ejpam-5788	665	2	m	m	VERB
ejpam-5788	665	3	p	p	NOUN
ejpam-5788	665	4	ir	ir	PROPN
ejpam-5788	665	5	ic	ic	PROPN
ejpam-5788	665	6	a	a	DET
ejpam-5788	665	7	l	l	NOUN
ejpam-5788	665	8	c	c	NOUN
ejpam-5788	665	9	u	u	NOUN
ejpam-5788	665	10	m	m	VERB
ejpam-5788	665	11	u	u	NOUN
ejpam-5788	665	12	la	la	X
ejpam-5788	665	13	ti	ti	X
ejpam-5788	665	14	v	v	ADP
ejpam-5788	665	15	e	e	PROPN
ejpam-5788	665	16	d	d	NOUN
ejpam-5788	665	17	is	be	AUX
ejpam-5788	665	18	tr	tr	VERB
ejpam-5788	665	19	ib	ib	NOUN
ejpam-5788	665	20	u	u	NOUN
ejpam-5788	665	21	ti	ti	NOUN
ejpam-5788	665	22	o	o	NOUN
ejpam-5788	665	23	n	n	PROPN
ejpam-5788	666	1	0.0	0.0	NUM
ejpam-5788	666	2	0.2	0.2	NUM
ejpam-5788	666	3	0.4	0.4	NUM
ejpam-5788	666	4	0.6	0.6	NUM
ejpam-5788	666	5	0.8	0.8	NUM
ejpam-5788	666	6	1.0	1.0	NUM
ejpam-5788	666	7	0	0	NUM
ejpam-5788	666	8	.0	.0	NUM
ejpam-5788	666	9	0	0	NUM
ejpam-5788	667	1	.2	.2	NUM
ejpam-5788	667	2	0	0	NUM
ejpam-5788	668	1	.4	.4	NUM
ejpam-5788	668	2	0	0	NUM
ejpam-5788	669	1	.6	.6	NUM
ejpam-5788	669	2	0	0	NUM
ejpam-5788	669	3	.8	.8	NUM
ejpam-5788	669	4	1	1	NUM
ejpam-5788	669	5	.0	.0	NUM
ejpam-5788	669	6	figure	figure	NOUN
ejpam-5788	669	7	3	3	NUM
ejpam-5788	669	8	:	:	PUNCT
ejpam-5788	669	9	ecd	ecd	PROPN
ejpam-5788	669	10	,	,	PUNCT
ejpam-5788	669	11	p	p	NOUN
ejpam-5788	669	12	-	-	PUNCT
ejpam-5788	669	13	p	p	X
ejpam-5788	669	14	,	,	PUNCT
ejpam-5788	669	15	and	and	CCONJ
ejpam-5788	669	16	q	q	X
ejpam-5788	669	17	-	-	PUNCT
ejpam-5788	669	18	q	q	NOUN
ejpam-5788	669	19	plots	plot	NOUN
ejpam-5788	669	20	for	for	ADP
ejpam-5788	669	21	accelerated	accelerated	ADJ
ejpam-5788	669	22	conditions	condition	NOUN
ejpam-5788	669	23	.	.	PUNCT
ejpam-5788	670	1	the	the	DET
ejpam-5788	670	2	maximum	maximum	ADJ
ejpam-5788	670	3	likelihood	likelihood	NOUN
ejpam-5788	670	4	estimates	estimate	NOUN
ejpam-5788	670	5	(	(	PUNCT
ejpam-5788	670	6	mles	mle	NOUN
ejpam-5788	670	7	)	)	PUNCT
ejpam-5788	670	8	are	be	AUX
ejpam-5788	670	9	presented	present	VERB
ejpam-5788	670	10	in	in	ADP
ejpam-5788	670	11	tab.(9).in	tab.(9).in	PROPN
ejpam-5788	670	12	the	the	DET
ejpam-5788	670	13	absence	absence	NOUN
ejpam-5788	670	14	of	of	ADP
ejpam-5788	670	15	prior	prior	ADJ
ejpam-5788	670	16	knowledge	knowledge	NOUN
ejpam-5788	670	17	about	about	ADP
ejpam-5788	670	18	the	the	DET
ejpam-5788	670	19	unknown	unknown	ADJ
ejpam-5788	670	20	population	population	NOUN
ejpam-5788	670	21	parameters	parameter	NOUN
ejpam-5788	670	22	,	,	PUNCT
ejpam-5788	670	23	adopting	adopt	VERB
ejpam-5788	670	24	bayes	bayes	NOUN
ejpam-5788	670	25	estimates	estimate	NOUN
ejpam-5788	670	26	is	be	AUX
ejpam-5788	670	27	justified	justify	VERB
ejpam-5788	670	28	.	.	PUNCT
ejpam-5788	671	1	in	in	ADP
ejpam-5788	671	2	this	this	DET
ejpam-5788	671	3	scenario	scenario	NOUN
ejpam-5788	671	4	,	,	PUNCT
ejpam-5788	671	5	it	it	PRON
ejpam-5788	671	6	is	be	AUX
ejpam-5788	671	7	postulated	postulate	VERB
ejpam-5788	671	8	that	that	SCONJ
ejpam-5788	671	9	the	the	DET
ejpam-5788	671	10	prior	prior	ADJ
ejpam-5788	671	11	distributions	distribution	NOUN
ejpam-5788	671	12	of	of	ADP
ejpam-5788	671	13	θ	θ	PROPN
ejpam-5788	671	14	and	and	CCONJ
ejpam-5788	671	15	σ	σ	PROPN
ejpam-5788	671	16	are	be	AUX
ejpam-5788	671	17	improper	improper	ADJ
ejpam-5788	671	18	,	,	PUNCT
ejpam-5788	671	19	specifically	specifically	ADV
ejpam-5788	671	20	with	with	ADP
ejpam-5788	671	21	parameters	parameter	NOUN
ejpam-5788	671	22	a	a	DET
ejpam-5788	671	23	=	=	SYM
ejpam-5788	671	24	−1	−1	NOUN
ejpam-5788	671	25	,	,	PUNCT
ejpam-5788	671	26	b	b	NOUN
ejpam-5788	671	27	=	=	SYM
ejpam-5788	671	28	0	0	NUM
ejpam-5788	671	29	,	,	PUNCT
ejpam-5788	671	30	c	c	NOUN
ejpam-5788	671	31	=	=	SYM
ejpam-5788	671	32	1	1	NUM
ejpam-5788	671	33	,	,	PUNCT
ejpam-5788	671	34	and	and	CCONJ
ejpam-5788	671	35	d	d	NOUN
ejpam-5788	671	36	=	=	SYM
ejpam-5788	671	37	∞	∞	PROPN
ejpam-5788	671	38	,	,	PUNCT
ejpam-5788	671	39	as	as	SCONJ
ejpam-5788	671	40	there	there	PRON
ejpam-5788	671	41	is	be	VERB
ejpam-5788	671	42	a	a	DET
ejpam-5788	671	43	lack	lack	NOUN
ejpam-5788	671	44	of	of	ADP
ejpam-5788	671	45	prior	prior	ADJ
ejpam-5788	671	46	knowledge	knowledge	NOUN
ejpam-5788	671	47	available	available	ADJ
ejpam-5788	671	48	.	.	PUNCT
ejpam-5788	672	1	as	as	SCONJ
ejpam-5788	672	2	previously	previously	ADV
ejpam-5788	672	3	mentioned	mention	VERB
ejpam-5788	672	4	,	,	PUNCT
ejpam-5788	672	5	the	the	DET
ejpam-5788	672	6	gibbs	gibbs	PROPN
ejpam-5788	672	7	method	method	NOUN
ejpam-5788	672	8	utilized	utilize	VERB
ejpam-5788	672	9	metropolis	metropolis	NOUN
ejpam-5788	672	10	within	within	ADP
ejpam-5788	672	11	it	it	PRON
ejpam-5788	672	12	to	to	PART
ejpam-5788	672	13	produce	produce	VERB
ejpam-5788	672	14	a	a	DET
ejpam-5788	672	15	total	total	NOUN
ejpam-5788	672	16	of	of	ADP
ejpam-5788	672	17	11	11	NUM
ejpam-5788	672	18	,	,	PUNCT
ejpam-5788	672	19	000	000	NUM
ejpam-5788	672	20	markov	markov	PROPN
ejpam-5788	672	21	chain	chain	NOUN
ejpam-5788	672	22	monte	monte	PROPN
ejpam-5788	672	23	carlo	carlo	PROPN
ejpam-5788	672	24	(	(	PUNCT
ejpam-5788	672	25	mcmc	mcmc	PROPN
ejpam-5788	672	26	)	)	PUNCT
ejpam-5788	672	27	samples	sample	NOUN
ejpam-5788	672	28	.	.	PUNCT
ejpam-5788	673	1	these	these	DET
ejpam-5788	673	2	samples	sample	NOUN
ejpam-5788	673	3	were	be	AUX
ejpam-5788	673	4	generated	generate	VERB
ejpam-5788	673	5	using	use	VERB
ejpam-5788	673	6	the	the	DET
ejpam-5788	673	7	maximum	maximum	ADJ
ejpam-5788	673	8	likelihood	likelihood	NOUN
ejpam-5788	673	9	estimators	estimator	NOUN
ejpam-5788	673	10	(	(	PUNCT
ejpam-5788	673	11	mles	mle	NOUN
ejpam-5788	673	12	)	)	PUNCT
ejpam-5788	673	13	of	of	ADP
ejpam-5788	673	14	the	the	DET
ejpam-5788	673	15	parameters	parameter	NOUN
ejpam-5788	673	16	θ	θ	PROPN
ejpam-5788	673	17	,	,	PUNCT
ejpam-5788	673	18	σ	σ	PROPN
ejpam-5788	673	19	,	,	PUNCT
ejpam-5788	673	20	and	and	CCONJ
ejpam-5788	673	21	λ	λ	PROPN
ejpam-5788	673	22	as	as	ADP
ejpam-5788	673	23	the	the	DET
ejpam-5788	673	24	initial	initial	ADJ
ejpam-5788	673	25	values	value	NOUN
ejpam-5788	673	26	at	at	ADP
ejpam-5788	673	27	the	the	DET
ejpam-5788	673	28	onset	onset	NOUN
ejpam-5788	673	29	of	of	ADP
ejpam-5788	673	30	the	the	DET
ejpam-5788	673	31	procedure	procedure	NOUN
ejpam-5788	673	32	.	.	PUNCT
ejpam-5788	674	1	fig.(5	fig.(5	NOUN
ejpam-5788	674	2	)	)	PUNCT
ejpam-5788	674	3	displays	display	VERB
ejpam-5788	674	4	trace	trace	NOUN
ejpam-5788	674	5	plots	plot	NOUN
ejpam-5788	674	6	for	for	ADP
ejpam-5788	674	7	the	the	DET
ejpam-5788	674	8	initial	initial	ADJ
ejpam-5788	674	9	1000	1000	NUM
ejpam-5788	674	10	markov	markov	NOUN
ejpam-5788	674	11	chain	chain	NOUN
ejpam-5788	674	12	monte	monte	PROPN
ejpam-5788	674	13	carlo	carlo	PROPN
ejpam-5788	674	14	(	(	PUNCT
ejpam-5788	674	15	mcmc	mcmc	PROPN
ejpam-5788	674	16	)	)	PUNCT
ejpam-5788	674	17	iterations	iteration	NOUN
ejpam-5788	674	18	of	of	ADP
ejpam-5788	674	19	the	the	DET
ejpam-5788	674	20	parameters	parameter	NOUN
ejpam-5788	674	21	θ	θ	PROPN
ejpam-5788	674	22	,	,	PUNCT
ejpam-5788	674	23	σ	σ	PROPN
ejpam-5788	674	24	,	,	PUNCT
ejpam-5788	674	25	and	and	CCONJ
ejpam-5788	674	26	λ	λ	NOUN
ejpam-5788	674	27	.	.	PUNCT
ejpam-5788	675	1	the	the	DET
ejpam-5788	675	2	mcmc	mcmc	PROPN
ejpam-5788	675	3	technique	technique	NOUN
ejpam-5788	675	4	shows	show	VERB
ejpam-5788	675	5	strong	strong	ADJ
ejpam-5788	675	6	convergence	convergence	NOUN
ejpam-5788	675	7	.	.	PUNCT
ejpam-5788	676	1	furthermore	furthermore	ADV
ejpam-5788	676	2	,	,	PUNCT
ejpam-5788	676	3	fig.(4	fig.(4	PROPN
ejpam-5788	676	4	)	)	PUNCT
ejpam-5788	676	5	displays	display	VERB
ejpam-5788	676	6	the	the	DET
ejpam-5788	676	7	histogram	histogram	NOUN
ejpam-5788	676	8	plots	plot	NOUN
ejpam-5788	676	9	of	of	ADP
ejpam-5788	676	10	the	the	DET
ejpam-5788	676	11	generated	generate	VERB
ejpam-5788	676	12	samples	sample	NOUN
ejpam-5788	676	13	for	for	ADP
ejpam-5788	676	14	the	the	DET
ejpam-5788	676	15	parameters	parameter	NOUN
ejpam-5788	676	16	θ	θ	PROPN
ejpam-5788	676	17	,	,	PUNCT
ejpam-5788	676	18	σ	σ	PROPN
ejpam-5788	676	19	,	,	PUNCT
ejpam-5788	676	20	and	and	CCONJ
ejpam-5788	676	21	λ	λ	NOUN
ejpam-5788	676	22	.	.	PUNCT
ejpam-5788	677	1	the	the	DET
ejpam-5788	677	2	histograms	histogram	NOUN
ejpam-5788	677	3	of	of	ADP
ejpam-5788	677	4	the	the	DET
ejpam-5788	677	5	obtained	obtain	VERB
ejpam-5788	677	6	samples	sample	NOUN
ejpam-5788	677	7	exhibit	exhibit	VERB
ejpam-5788	677	8	a	a	DET
ejpam-5788	677	9	strong	strong	ADJ
ejpam-5788	677	10	resemblance	resemblance	NOUN
ejpam-5788	677	11	to	to	ADP
ejpam-5788	677	12	the	the	DET
ejpam-5788	677	13	theoretical	theoretical	ADJ
ejpam-5788	677	14	posterior	posterior	ADJ
ejpam-5788	677	15	density	density	NOUN
ejpam-5788	677	16	functions	function	NOUN
ejpam-5788	677	17	.	.	PUNCT
ejpam-5788	678	1	for	for	ADP
ejpam-5788	678	2	bayesian	bayesian	NOUN
ejpam-5788	678	3	estimations	estimation	NOUN
ejpam-5788	678	4	under	under	ADP
ejpam-5788	678	5	asymmetric	asymmetric	ADJ
ejpam-5788	678	6	llf	llf	PROPN
ejpam-5788	678	7	,	,	PUNCT
ejpam-5788	678	8	a.	a.	PROPN
ejpam-5788	678	9	a.	a.	PROPN
ejpam-5788	678	10	soliman	soliman	PROPN
ejpam-5788	678	11	et	et	PROPN
ejpam-5788	678	12	al	al	PROPN
ejpam-5788	678	13	.	.	PUNCT
ejpam-5788	678	14	/	/	SYM
ejpam-5788	678	15	eur	eur	PROPN
ejpam-5788	678	16	.	.	PUNCT
ejpam-5788	679	1	j.	j.	PROPN
ejpam-5788	679	2	pure	pure	PROPN
ejpam-5788	679	3	appl	appl	PROPN
ejpam-5788	679	4	.	.	PROPN
ejpam-5788	679	5	math	math	PROPN
ejpam-5788	679	6	,	,	PUNCT
ejpam-5788	679	7	18	18	NUM
ejpam-5788	679	8	(	(	PUNCT
ejpam-5788	679	9	2	2	NUM
ejpam-5788	679	10	)	)	PUNCT
ejpam-5788	679	11	(	(	PUNCT
ejpam-5788	679	12	2025	2025	NUM
ejpam-5788	679	13	)	)	PUNCT
ejpam-5788	679	14	,	,	PUNCT
ejpam-5788	679	15	5788	5788	NUM
ejpam-5788	679	16	29	29	NUM
ejpam-5788	679	17	of	of	ADP
ejpam-5788	679	18	34	34	NUM
ejpam-5788	679	19	it	it	PRON
ejpam-5788	679	20	is	be	AUX
ejpam-5788	679	21	known	know	VERB
ejpam-5788	679	22	in	in	ADP
ejpam-5788	679	23	the	the	DET
ejpam-5788	679	24	literature	literature	NOUN
ejpam-5788	679	25	that	that	PRON
ejpam-5788	679	26	,	,	PUNCT
ejpam-5788	679	27	h∗	h∗	PROPN
ejpam-5788	679	28	<	<	X
ejpam-5788	679	29	0	0	PUNCT
ejpam-5788	679	30	implies	imply	VERB
ejpam-5788	679	31	that	that	SCONJ
ejpam-5788	679	32	underestimation	underestimation	NOUN
ejpam-5788	679	33	results	result	NOUN
ejpam-5788	679	34	in	in	ADP
ejpam-5788	679	35	more	more	ADJ
ejpam-5788	679	36	penalty	penalty	NOUN
ejpam-5788	679	37	than	than	ADP
ejpam-5788	679	38	overestimation	overestimation	NOUN
ejpam-5788	679	39	and	and	CCONJ
ejpam-5788	679	40	the	the	DET
ejpam-5788	679	41	reverse	reverse	NOUN
ejpam-5788	679	42	is	be	AUX
ejpam-5788	679	43	true	true	ADJ
ejpam-5788	679	44	for	for	ADP
ejpam-5788	679	45	h∗	h∗	PROPN
ejpam-5788	679	46	>	>	X
ejpam-5788	679	47	0	0	PROPN
ejpam-5788	679	48	.	.	PUNCT
ejpam-5788	680	1	when	when	SCONJ
ejpam-5788	680	2	h∗	h∗	PROPN
ejpam-5788	680	3	close	close	ADJ
ejpam-5788	680	4	to	to	ADP
ejpam-5788	680	5	zero	zero	NUM
ejpam-5788	680	6	,	,	PUNCT
ejpam-5788	680	7	the	the	DET
ejpam-5788	680	8	llf	llf	PROPN
ejpam-5788	680	9	becomes	become	VERB
ejpam-5788	680	10	symmetric	symmetric	ADJ
ejpam-5788	680	11	and	and	CCONJ
ejpam-5788	680	12	behaves	behave	VERB
ejpam-5788	680	13	roughly	roughly	ADV
ejpam-5788	680	14	like	like	ADP
ejpam-5788	680	15	the	the	DET
ejpam-5788	680	16	self	self	NOUN
ejpam-5788	680	17	.	.	PUNCT
ejpam-5788	681	1	the	the	DET
ejpam-5788	681	2	mles	mle	NOUN
ejpam-5788	681	3	relative	relative	ADJ
ejpam-5788	681	4	to	to	ADP
ejpam-5788	681	5	both	both	DET
ejpam-5788	681	6	nr	nr	PROPN
ejpam-5788	681	7	,	,	PUNCT
ejpam-5788	681	8	em	em	PRON
ejpam-5788	681	9	techniques	technique	VERB
ejpam-5788	681	10	and	and	CCONJ
ejpam-5788	681	11	bayesian	bayesian	PROPN
ejpam-5788	681	12	mcmc	mcmc	PROPN
ejpam-5788	681	13	method	method	NOUN
ejpam-5788	681	14	with	with	ADP
ejpam-5788	681	15	chosen	choose	VERB
ejpam-5788	681	16	h∗	h∗	PROPN
ejpam-5788	681	17	=	=	X
ejpam-5788	681	18	−3	−3	PROPN
ejpam-5788	681	19	and	and	CCONJ
ejpam-5788	681	20	3	3	NUM
ejpam-5788	681	21	of	of	ADP
ejpam-5788	681	22	unknown	unknown	ADJ
ejpam-5788	681	23	parameters	parameter	NOUN
ejpam-5788	681	24	are	be	AUX
ejpam-5788	681	25	computed	compute	VERB
ejpam-5788	681	26	and	and	CCONJ
ejpam-5788	681	27	listed	list	VERB
ejpam-5788	681	28	in	in	ADP
ejpam-5788	681	29	tab.(9	tab.(9	NUM
ejpam-5788	681	30	)	)	PUNCT
ejpam-5788	681	31	.	.	PUNCT
ejpam-5788	682	1	moreover	moreover	ADV
ejpam-5788	682	2	,	,	PUNCT
ejpam-5788	682	3	the	the	DET
ejpam-5788	682	4	results	result	NOUN
ejpam-5788	682	5	of	of	ADP
ejpam-5788	682	6	95	95	NUM
ejpam-5788	682	7	%	%	NOUN
ejpam-5788	682	8	approximate	approximate	ADJ
ejpam-5788	682	9	ci	ci	PROPN
ejpam-5788	682	10	,	,	PUNCT
ejpam-5788	682	11	n	n	CCONJ
ejpam-5788	682	12	-	-	PUNCT
ejpam-5788	682	13	boot	boot	NOUN
ejpam-5788	682	14	and	and	CCONJ
ejpam-5788	682	15	hpd	hpd	PROPN
ejpam-5788	682	16	intervals	interval	NOUN
ejpam-5788	682	17	of	of	ADP
ejpam-5788	682	18	unknown	unknown	ADJ
ejpam-5788	682	19	parameters	parameter	NOUN
ejpam-5788	682	20	are	be	AUX
ejpam-5788	682	21	given	give	VERB
ejpam-5788	682	22	in	in	ADP
ejpam-5788	682	23	tab.(10	tab.(10	PROPN
ejpam-5788	682	24	)	)	PUNCT
ejpam-5788	682	25	.	.	PUNCT
ejpam-5788	683	1	table	table	NOUN
ejpam-5788	683	2	9	9	NUM
ejpam-5788	683	3	:	:	PUNCT
ejpam-5788	683	4	estimated	estimate	VERB
ejpam-5788	683	5	values	value	NOUN
ejpam-5788	683	6	of	of	ADP
ejpam-5788	683	7	θ	θ	PROPN
ejpam-5788	683	8	,	,	PUNCT
ejpam-5788	683	9	σ	σ	PROPN
ejpam-5788	683	10	and	and	CCONJ
ejpam-5788	683	11	λ	λ	PROPN
ejpam-5788	683	12	from	from	ADP
ejpam-5788	683	13	insulating	insulate	VERB
ejpam-5788	683	14	fluid	fluid	NOUN
ejpam-5788	683	15	.	.	PUNCT
ejpam-5788	684	1	method−→	method−→	ADJ
ejpam-5788	684	2	mles	mle	NOUN
ejpam-5788	684	3	bayesian	bayesian	VERB
ejpam-5788	684	4	parameter↓	parameter↓	NOUN
ejpam-5788	684	5	nr	nr	NOUN
ejpam-5788	684	6	em	em	PRON
ejpam-5788	684	7	self	self	PROPN
ejpam-5788	684	8	llf	llf	PROPN
ejpam-5788	684	9	h∗	h∗	PROPN
ejpam-5788	684	10	=	=	PROPN
ejpam-5788	684	11	−0.3	−0.3	PROPN
ejpam-5788	684	12	h∗	h∗	NOUN
ejpam-5788	684	13	=	=	NOUN
ejpam-5788	684	14	0.3	0.3	NUM
ejpam-5788	684	15	θ	θ	NOUN
ejpam-5788	684	16	estimate	estimate	VERB
ejpam-5788	684	17	0.2279	0.2279	NUM
ejpam-5788	684	18	0.2111	0.2111	NUM
ejpam-5788	684	19	0.2241	0.2241	NUM
ejpam-5788	684	20	0.2233	0.2233	NUM
ejpam-5788	684	21	0.2249	0.2249	NUM
ejpam-5788	685	1	σ	σ	NUM
ejpam-5788	685	2	estimate	estimate	NOUN
ejpam-5788	685	3	0.2700	0.2700	NUM
ejpam-5788	685	4	0.2734	0.2734	NUM
ejpam-5788	685	5	0.3336	0.3336	NUM
ejpam-5788	685	6	0.3316	0.3316	NUM
ejpam-5788	685	7	0.3362	0.3362	NUM
ejpam-5788	685	8	λ	λ	NOUN
ejpam-5788	685	9	estimate	estimate	VERB
ejpam-5788	685	10	1.4243	1.4243	NUM
ejpam-5788	685	11	1.6554	1.6554	NUM
ejpam-5788	685	12	1.7704	1.7704	NUM
ejpam-5788	685	13	1.6526	1.6526	NUM
ejpam-5788	685	14	1.9369	1.9369	NUM
ejpam-5788	685	15	table	table	NOUN
ejpam-5788	685	16	10	10	NUM
ejpam-5788	685	17	:	:	SYM
ejpam-5788	685	18	95	95	NUM
ejpam-5788	685	19	%	%	NOUN
ejpam-5788	685	20	confdence	confdence	NOUN
ejpam-5788	685	21	interval	interval	NOUN
ejpam-5788	685	22	(	(	PUNCT
ejpam-5788	685	23	ci	ci	NOUN
ejpam-5788	685	24	)	)	PUNCT
ejpam-5788	685	25	estimates	estimate	NOUN
ejpam-5788	685	26	of	of	ADP
ejpam-5788	685	27	θ	θ	PROPN
ejpam-5788	685	28	,	,	PUNCT
ejpam-5788	685	29	σ	σ	PROPN
ejpam-5788	685	30	and	and	CCONJ
ejpam-5788	685	31	λ	λ	PROPN
ejpam-5788	685	32	from	from	ADP
ejpam-5788	685	33	insulating	insulate	VERB
ejpam-5788	685	34	fluid	fluid	NOUN
ejpam-5788	685	35	.	.	PUNCT
ejpam-5788	686	1	method	method	NOUN
ejpam-5788	686	2	mles	mle	NOUN
ejpam-5788	686	3	n	n	CCONJ
ejpam-5788	686	4	-	-	PUNCT
ejpam-5788	686	5	boot	boot	NOUN
ejpam-5788	686	6	bayesian	bayesian	NOUN
ejpam-5788	686	7	θ	θ	PROPN
ejpam-5788	686	8	95	95	NUM
ejpam-5788	686	9	%	%	NOUN
ejpam-5788	686	10	ci	ci	NOUN
ejpam-5788	686	11	(	(	PUNCT
ejpam-5788	686	12	0.1544	0.1544	NUM
ejpam-5788	686	13	,	,	PUNCT
ejpam-5788	686	14	0.3015	0.3015	NUM
ejpam-5788	686	15	)	)	PUNCT
ejpam-5788	686	16	(	(	PUNCT
ejpam-5788	686	17	0.1676	0.1676	NUM
ejpam-5788	686	18	,	,	PUNCT
ejpam-5788	686	19	0.5900	0.5900	NUM
ejpam-5788	686	20	)	)	PUNCT
ejpam-5788	686	21	(	(	PUNCT
ejpam-5788	686	22	0.1008	0.1008	NUM
ejpam-5788	686	23	,	,	PUNCT
ejpam-5788	686	24	0.3144	0.3144	NUM
ejpam-5788	686	25	)	)	PUNCT
ejpam-5788	687	1	σ	σ	NOUN
ejpam-5788	687	2	95	95	NUM
ejpam-5788	687	3	%	%	NOUN
ejpam-5788	687	4	ci	ci	NOUN
ejpam-5788	687	5	(	(	PUNCT
ejpam-5788	687	6	0.0252	0.0252	NUM
ejpam-5788	687	7	,	,	PUNCT
ejpam-5788	687	8	0.5652	0.5652	NUM
ejpam-5788	687	9	)	)	PUNCT
ejpam-5788	687	10	(	(	PUNCT
ejpam-5788	687	11	0.0037	0.0037	NUM
ejpam-5788	687	12	,	,	PUNCT
ejpam-5788	687	13	0.7070	0.7070	NUM
ejpam-5788	687	14	)	)	PUNCT
ejpam-5788	687	15	(	(	PUNCT
ejpam-5788	687	16	0.1014	0.1014	NUM
ejpam-5788	687	17	,	,	PUNCT
ejpam-5788	687	18	0.5016	0.5016	NUM
ejpam-5788	687	19	)	)	PUNCT
ejpam-5788	687	20	λ	λ	NOUN
ejpam-5788	687	21	95	95	NUM
ejpam-5788	687	22	%	%	NOUN
ejpam-5788	687	23	ci	ci	NOUN
ejpam-5788	687	24	(	(	PUNCT
ejpam-5788	687	25	0.0777	0.0777	NUM
ejpam-5788	687	26	,	,	PUNCT
ejpam-5788	687	27	2.7709	2.7709	NUM
ejpam-5788	687	28	)	)	PUNCT
ejpam-5788	687	29	(	(	PUNCT
ejpam-5788	687	30	0.1113	0.1113	NUM
ejpam-5788	687	31	,	,	PUNCT
ejpam-5788	687	32	3.6775	3.6775	NUM
ejpam-5788	687	33	)	)	PUNCT
ejpam-5788	687	34	(	(	PUNCT
ejpam-5788	687	35	0.5968	0.5968	NUM
ejpam-5788	687	36	,	,	PUNCT
ejpam-5788	687	37	2.9076	2.9076	NUM
ejpam-5788	687	38	)	)	PUNCT
ejpam-5788	687	39	a.	a.	NOUN
ejpam-5788	687	40	a.	a.	PROPN
ejpam-5788	687	41	soliman	soliman	PROPN
ejpam-5788	687	42	et	et	PROPN
ejpam-5788	687	43	al	al	PROPN
ejpam-5788	687	44	.	.	PUNCT
ejpam-5788	687	45	/	/	SYM
ejpam-5788	687	46	eur	eur	PROPN
ejpam-5788	687	47	.	.	PUNCT
ejpam-5788	688	1	j.	j.	PROPN
ejpam-5788	688	2	pure	pure	PROPN
ejpam-5788	688	3	appl	appl	PROPN
ejpam-5788	688	4	.	.	PROPN
ejpam-5788	688	5	math	math	PROPN
ejpam-5788	688	6	,	,	PUNCT
ejpam-5788	688	7	18	18	NUM
ejpam-5788	688	8	(	(	PUNCT
ejpam-5788	688	9	2	2	NUM
ejpam-5788	688	10	)	)	PUNCT
ejpam-5788	688	11	(	(	PUNCT
ejpam-5788	688	12	2025	2025	NUM
ejpam-5788	688	13	)	)	PUNCT
ejpam-5788	688	14	,	,	PUNCT
ejpam-5788	688	15	5788	5788	NUM
ejpam-5788	688	16	30	30	NUM
ejpam-5788	688	17	of	of	ADP
ejpam-5788	688	18	34	34	NUM
ejpam-5788	688	19	in	in	ADP
ejpam-5788	688	20	conclusion	conclusion	NOUN
ejpam-5788	688	21	,	,	PUNCT
ejpam-5788	688	22	it	it	PRON
ejpam-5788	688	23	can	can	AUX
ejpam-5788	688	24	be	be	AUX
ejpam-5788	688	25	inferred	infer	VERB
ejpam-5788	688	26	that	that	SCONJ
ejpam-5788	688	27	the	the	DET
ejpam-5788	688	28	estimated	estimate	VERB
ejpam-5788	688	29	distribution	distribution	NOUN
ejpam-5788	688	30	of	of	ADP
ejpam-5788	688	31	the	the	DET
ejpam-5788	688	32	non	non	ADJ
ejpam-5788	688	33	parametric	parametric	PROPN
ejpam-5788	688	34	npt	npt	PROPN
ejpam-5788	688	35	model	model	PROPN
ejpam-5788	688	36	has	have	VERB
ejpam-5788	688	37	a	a	DET
ejpam-5788	688	38	strong	strong	ADJ
ejpam-5788	688	39	alignment	alignment	NOUN
ejpam-5788	688	40	with	with	ADP
ejpam-5788	688	41	the	the	DET
ejpam-5788	688	42	provided	provide	VERB
ejpam-5788	688	43	data	datum	NOUN
ejpam-5788	688	44	.	.	PUNCT
ejpam-5788	689	1	0	0	NUM
ejpam-5788	690	1	4000	4000	NUM
ejpam-5788	690	2	8000	8000	NUM
ejpam-5788	690	3	0	0	NUM
ejpam-5788	690	4	.1	.1	NUM
ejpam-5788	690	5	0	0	NUM
ejpam-5788	691	1	.3	.3	NUM
ejpam-5788	691	2	0	0	NUM
ejpam-5788	691	3	.5	.5	NUM
ejpam-5788	691	4	iterations	iteration	NOUN
ejpam-5788	691	5	θ	θ	NOUN
ejpam-5788	691	6	θ	θ	PUNCT
ejpam-5788	692	1	d	d	X
ejpam-5788	692	2	e	e	X
ejpam-5788	692	3	n	n	PROPN
ejpam-5788	692	4	s	s	VERB
ejpam-5788	692	5	it	it	PRON
ejpam-5788	692	6	y	y	PROPN
ejpam-5788	692	7	0.1	0.1	NUM
ejpam-5788	692	8	0.3	0.3	NUM
ejpam-5788	692	9	0.5	0.5	NUM
ejpam-5788	692	10	0	0	NUM
ejpam-5788	692	11	1	1	NUM
ejpam-5788	692	12	2	2	NUM
ejpam-5788	692	13	3	3	NUM
ejpam-5788	692	14	4	4	NUM
ejpam-5788	692	15	5	5	NUM
ejpam-5788	692	16	6	6	NUM
ejpam-5788	692	17	figure	figure	NOUN
ejpam-5788	692	18	4	4	NUM
ejpam-5788	692	19	:	:	PUNCT
ejpam-5788	692	20	density	density	NOUN
ejpam-5788	692	21	(	(	PUNCT
ejpam-5788	692	22	right	right	ADJ
ejpam-5788	692	23	)	)	PUNCT
ejpam-5788	692	24	and	and	CCONJ
ejpam-5788	692	25	trace	trace	NOUN
ejpam-5788	692	26	(	(	PUNCT
ejpam-5788	692	27	left	left	ADJ
ejpam-5788	692	28	)	)	PUNCT
ejpam-5788	692	29	plots	plot	NOUN
ejpam-5788	692	30	of	of	ADP
ejpam-5788	692	31	θ	θ	PROPN
ejpam-5788	692	32	from	from	ADP
ejpam-5788	692	33	insulating	insulate	VERB
ejpam-5788	692	34	fluid	fluid	ADJ
ejpam-5788	692	35	data	datum	NOUN
ejpam-5788	692	36	.	.	PUNCT
ejpam-5788	692	37	0	0	NUM
ejpam-5788	693	1	4000	4000	NUM
ejpam-5788	693	2	8000	8000	NUM
ejpam-5788	693	3	0	0	NUM
ejpam-5788	694	1	.0	.0	NUM
ejpam-5788	694	2	0	0	NUM
ejpam-5788	695	1	.2	.2	NUM
ejpam-5788	695	2	0	0	NUM
ejpam-5788	696	1	.4	.4	NUM
ejpam-5788	696	2	0	0	NUM
ejpam-5788	697	1	.6	.6	NUM
ejpam-5788	697	2	iterations	iteration	NOUN
ejpam-5788	697	3	σ	σ	PROPN
ejpam-5788	697	4	σ	σ	PROPN
ejpam-5788	697	5	d	d	PROPN
ejpam-5788	697	6	e	e	PROPN
ejpam-5788	697	7	n	n	PROPN
ejpam-5788	697	8	s	s	VERB
ejpam-5788	697	9	it	it	PRON
ejpam-5788	697	10	y	y	PROPN
ejpam-5788	697	11	0.0	0.0	NUM
ejpam-5788	697	12	0.2	0.2	NUM
ejpam-5788	697	13	0.4	0.4	NUM
ejpam-5788	697	14	0.6	0.6	NUM
ejpam-5788	697	15	0.8	0.8	NUM
ejpam-5788	697	16	0	0	NUM
ejpam-5788	698	1	.0	.0	NUM
ejpam-5788	698	2	1	1	NUM
ejpam-5788	698	3	.0	.0	NUM
ejpam-5788	698	4	2	2	NUM
ejpam-5788	698	5	.0	.0	NUM
ejpam-5788	698	6	3	3	NUM
ejpam-5788	698	7	.0	.0	NUM
ejpam-5788	698	8	figure	figure	NOUN
ejpam-5788	698	9	5	5	NUM
ejpam-5788	698	10	:	:	PUNCT
ejpam-5788	698	11	density	density	NOUN
ejpam-5788	698	12	(	(	PUNCT
ejpam-5788	698	13	right	right	ADJ
ejpam-5788	698	14	)	)	PUNCT
ejpam-5788	698	15	and	and	CCONJ
ejpam-5788	698	16	trace	trace	NOUN
ejpam-5788	698	17	(	(	PUNCT
ejpam-5788	698	18	left	left	ADJ
ejpam-5788	698	19	)	)	PUNCT
ejpam-5788	698	20	plots	plot	NOUN
ejpam-5788	698	21	of	of	ADP
ejpam-5788	698	22	σ	σ	NOUN
ejpam-5788	698	23	from	from	ADP
ejpam-5788	698	24	insulating	insulate	VERB
ejpam-5788	698	25	fluid	fluid	ADJ
ejpam-5788	698	26	data	datum	NOUN
ejpam-5788	698	27	.	.	PUNCT
ejpam-5788	699	1	4	4	X
ejpam-5788	699	2	.	.	X
ejpam-5788	699	3	conclusions	conclusion	NOUN
ejpam-5788	699	4	this	this	DET
ejpam-5788	699	5	study	study	NOUN
ejpam-5788	699	6	discusses	discuss	VERB
ejpam-5788	699	7	multiple	multiple	ADJ
ejpam-5788	699	8	parameter	parameter	NOUN
ejpam-5788	699	9	estimation	estimation	NOUN
ejpam-5788	699	10	approaches	approach	NOUN
ejpam-5788	699	11	to	to	PART
ejpam-5788	699	12	estimate	estimate	VERB
ejpam-5788	699	13	the	the	DET
ejpam-5788	699	14	two	two	NUM
ejpam-5788	699	15	parameters	parameter	NOUN
ejpam-5788	699	16	of	of	ADP
ejpam-5788	699	17	the	the	DET
ejpam-5788	699	18	npt	npt	PROPN
ejpam-5788	699	19	distribution	distribution	NOUN
ejpam-5788	699	20	.	.	PUNCT
ejpam-5788	700	1	the	the	DET
ejpam-5788	700	2	estimation	estimation	NOUN
ejpam-5788	700	3	methods	method	NOUN
ejpam-5788	700	4	are	be	AUX
ejpam-5788	700	5	applied	apply	VERB
ejpam-5788	700	6	to	to	ADP
ejpam-5788	700	7	a	a	DET
ejpam-5788	700	8	constant	constant	ADJ
ejpam-5788	700	9	stress	stress	NOUN
ejpam-5788	700	10	partially	partially	ADV
ejpam-5788	700	11	accelerated	accelerate	VERB
ejpam-5788	700	12	life	life	NOUN
ejpam-5788	700	13	test	test	NOUN
ejpam-5788	700	14	,	,	PUNCT
ejpam-5788	700	15	utilising	utilise	VERB
ejpam-5788	700	16	type	type	NOUN
ejpam-5788	700	17	-	-	PUNCT
ejpam-5788	700	18	i	i	NOUN
ejpam-5788	700	19	ghcs	ghcs	PROPN
ejpam-5788	700	20	data	datum	NOUN
ejpam-5788	700	21	.	.	PUNCT
ejpam-5788	701	1	the	the	DET
ejpam-5788	701	2	maximum	maximum	ADJ
ejpam-5788	701	3	likelihood	likelihood	NOUN
ejpam-5788	701	4	estimators	estimator	NOUN
ejpam-5788	701	5	(	(	PUNCT
ejpam-5788	701	6	mles	mle	NOUN
ejpam-5788	701	7	)	)	PUNCT
ejpam-5788	701	8	and	and	CCONJ
ejpam-5788	701	9	bayes	bayes	PROPN
ejpam-5788	701	10	estimates	estimate	NOUN
ejpam-5788	701	11	of	of	ADP
ejpam-5788	701	12	the	the	DET
ejpam-5788	701	13	parameters	parameter	NOUN
ejpam-5788	701	14	were	be	AUX
ejpam-5788	701	15	obtained	obtain	VERB
ejpam-5788	701	16	,	,	PUNCT
ejpam-5788	701	17	along	along	ADP
ejpam-5788	701	18	with	with	ADP
ejpam-5788	701	19	the	the	DET
ejpam-5788	701	20	calculation	calculation	NOUN
ejpam-5788	701	21	of	of	ADP
ejpam-5788	701	22	the	the	DET
ejpam-5788	701	23	acceleration	acceleration	NOUN
ejpam-5788	701	24	factor	factor	NOUN
ejpam-5788	701	25	and	and	CCONJ
ejpam-5788	701	26	the	the	DET
ejpam-5788	701	27	related	related	ADJ
ejpam-5788	701	28	confidence	confidence	NOUN
ejpam-5788	701	29	intervals	interval	NOUN
ejpam-5788	701	30	.	.	PUNCT
ejpam-5788	702	1	additionally	additionally	ADV
ejpam-5788	702	2	,	,	PUNCT
ejpam-5788	702	3	the	the	DET
ejpam-5788	702	4	em	em	PROPN
ejpam-5788	702	5	technique	technique	NOUN
ejpam-5788	702	6	has	have	AUX
ejpam-5788	702	7	been	be	AUX
ejpam-5788	702	8	utilised	utilise	VERB
ejpam-5788	702	9	to	to	PART
ejpam-5788	702	10	derive	derive	VERB
ejpam-5788	702	11	the	the	DET
ejpam-5788	702	12	maximum	maximum	ADJ
ejpam-5788	702	13	likelihood	likelihood	NOUN
ejpam-5788	702	14	estimators	estimator	NOUN
ejpam-5788	702	15	(	(	PUNCT
ejpam-5788	702	16	mles	mle	NOUN
ejpam-5788	702	17	)	)	PUNCT
ejpam-5788	702	18	for	for	ADP
ejpam-5788	702	19	the	the	DET
ejpam-5788	702	20	undetermined	undetermined	ADJ
ejpam-5788	702	21	parameters	parameter	NOUN
ejpam-5788	702	22	.	.	PUNCT
ejpam-5788	703	1	the	the	DET
ejpam-5788	703	2	associated	associated	ADJ
ejpam-5788	703	3	hessian	hessian	ADJ
ejpam-5788	703	4	matrix	matrix	NOUN
ejpam-5788	703	5	is	be	AUX
ejpam-5788	703	6	also	also	ADV
ejpam-5788	703	7	presented	present	VERB
ejpam-5788	703	8	in	in	ADP
ejpam-5788	703	9	a.	a.	PROPN
ejpam-5788	703	10	a.	a.	PROPN
ejpam-5788	703	11	soliman	soliman	PROPN
ejpam-5788	703	12	et	et	PROPN
ejpam-5788	703	13	al	al	PROPN
ejpam-5788	703	14	.	.	PUNCT
ejpam-5788	703	15	/	/	SYM
ejpam-5788	703	16	eur	eur	PROPN
ejpam-5788	703	17	.	.	PUNCT
ejpam-5788	704	1	j.	j.	PROPN
ejpam-5788	704	2	pure	pure	PROPN
ejpam-5788	704	3	appl	appl	PROPN
ejpam-5788	704	4	.	.	PROPN
ejpam-5788	704	5	math	math	PROPN
ejpam-5788	704	6	,	,	PUNCT
ejpam-5788	704	7	18	18	NUM
ejpam-5788	704	8	(	(	PUNCT
ejpam-5788	704	9	2	2	NUM
ejpam-5788	704	10	)	)	PUNCT
ejpam-5788	704	11	(	(	PUNCT
ejpam-5788	704	12	2025	2025	NUM
ejpam-5788	704	13	)	)	PUNCT
ejpam-5788	704	14	,	,	PUNCT
ejpam-5788	704	15	5788	5788	NUM
ejpam-5788	704	16	31	31	NUM
ejpam-5788	704	17	of	of	ADP
ejpam-5788	704	18	34	34	NUM
ejpam-5788	704	19	0	0	NUM
ejpam-5788	704	20	4000	4000	NUM
ejpam-5788	704	21	8000	8000	NUM
ejpam-5788	704	22	0	0	NUM
ejpam-5788	704	23	1	1	NUM
ejpam-5788	704	24	2	2	NUM
ejpam-5788	704	25	3	3	NUM
ejpam-5788	704	26	4	4	NUM
ejpam-5788	704	27	5	5	NUM
ejpam-5788	704	28	iterations	iteration	NOUN
ejpam-5788	704	29	λ	λ	X
ejpam-5788	704	30	λ	λ	X
ejpam-5788	704	31	d	d	X
ejpam-5788	704	32	e	e	ADP
ejpam-5788	704	33	n	n	PROPN
ejpam-5788	704	34	s	s	VERB
ejpam-5788	704	35	it	it	PRON
ejpam-5788	704	36	y	y	NOUN
ejpam-5788	704	37	0	0	NUM
ejpam-5788	704	38	1	1	NUM
ejpam-5788	704	39	2	2	NUM
ejpam-5788	704	40	3	3	NUM
ejpam-5788	704	41	4	4	NUM
ejpam-5788	704	42	5	5	NUM
ejpam-5788	704	43	0	0	NUM
ejpam-5788	704	44	.0	.0	NUM
ejpam-5788	704	45	0	0	NUM
ejpam-5788	705	1	.2	.2	NUM
ejpam-5788	705	2	0	0	NUM
ejpam-5788	706	1	.4	.4	NUM
ejpam-5788	706	2	0	0	NUM
ejpam-5788	707	1	.6	.6	NUM
ejpam-5788	707	2	figure	figure	VERB
ejpam-5788	707	3	6	6	NUM
ejpam-5788	707	4	:	:	PUNCT
ejpam-5788	707	5	density	density	NOUN
ejpam-5788	707	6	(	(	PUNCT
ejpam-5788	707	7	right	right	ADJ
ejpam-5788	707	8	)	)	PUNCT
ejpam-5788	707	9	and	and	CCONJ
ejpam-5788	707	10	trace	trace	NOUN
ejpam-5788	707	11	(	(	PUNCT
ejpam-5788	707	12	left	left	ADJ
ejpam-5788	707	13	)	)	PUNCT
ejpam-5788	707	14	plots	plot	NOUN
ejpam-5788	707	15	of	of	ADP
ejpam-5788	707	16	λ	λ	NOUN
ejpam-5788	707	17	from	from	ADP
ejpam-5788	707	18	insulating	insulate	VERB
ejpam-5788	707	19	fluid	fluid	ADJ
ejpam-5788	707	20	data	datum	NOUN
ejpam-5788	707	21	.	.	PUNCT
ejpam-5788	708	1	the	the	DET
ejpam-5788	708	2	paper	paper	NOUN
ejpam-5788	708	3	.	.	PUNCT
ejpam-5788	709	1	in	in	ADP
ejpam-5788	709	2	the	the	DET
ejpam-5788	709	3	absence	absence	NOUN
ejpam-5788	709	4	of	of	ADP
ejpam-5788	709	5	explicit	explicit	ADJ
ejpam-5788	709	6	formulations	formulation	NOUN
ejpam-5788	709	7	for	for	ADP
ejpam-5788	709	8	the	the	DET
ejpam-5788	709	9	maximum	maximum	ADJ
ejpam-5788	709	10	likelihood	likelihood	NOUN
ejpam-5788	709	11	estimators	estimator	NOUN
ejpam-5788	709	12	(	(	PUNCT
ejpam-5788	709	13	mles	mle	NOUN
ejpam-5788	709	14	)	)	PUNCT
ejpam-5788	709	15	of	of	ADP
ejpam-5788	709	16	certain	certain	ADJ
ejpam-5788	709	17	parameters	parameter	NOUN
ejpam-5788	709	18	,	,	PUNCT
ejpam-5788	709	19	we	we	PRON
ejpam-5788	709	20	rely	rely	VERB
ejpam-5788	709	21	on	on	ADP
ejpam-5788	709	22	the	the	DET
ejpam-5788	709	23	bayesian	bayesian	NOUN
ejpam-5788	709	24	approach	approach	NOUN
ejpam-5788	709	25	for	for	ADP
ejpam-5788	709	26	assistance	assistance	NOUN
ejpam-5788	709	27	.	.	PUNCT
ejpam-5788	710	1	the	the	DET
ejpam-5788	710	2	bayes	bayes	PROPN
ejpam-5788	710	3	estimates	estimate	NOUN
ejpam-5788	710	4	are	be	AUX
ejpam-5788	710	5	derived	derive	VERB
ejpam-5788	710	6	under	under	ADP
ejpam-5788	710	7	the	the	DET
ejpam-5788	710	8	assumption	assumption	NOUN
ejpam-5788	710	9	of	of	ADP
ejpam-5788	710	10	dependent	dependent	ADJ
ejpam-5788	710	11	priors	prior	NOUN
ejpam-5788	710	12	,	,	PUNCT
ejpam-5788	710	13	using	use	VERB
ejpam-5788	710	14	the	the	DET
ejpam-5788	710	15	two	two	NUM
ejpam-5788	710	16	loss	loss	NOUN
ejpam-5788	710	17	functions(squared	functions(square	VERB
ejpam-5788	710	18	error	error	NOUN
ejpam-5788	710	19	(	(	PUNCT
ejpam-5788	710	20	se	se	X
ejpam-5788	710	21	)	)	PUNCT
ejpam-5788	710	22	and	and	CCONJ
ejpam-5788	710	23	linear	linear	PROPN
ejpam-5788	710	24	exponential	exponential	NOUN
ejpam-5788	710	25	(	(	PUNCT
ejpam-5788	710	26	linex	linex	PROPN
ejpam-5788	710	27	)	)	PUNCT
ejpam-5788	710	28	)	)	PUNCT
ejpam-5788	710	29	.	.	PUNCT
ejpam-5788	711	1	the	the	DET
ejpam-5788	711	2	posterior	posterior	ADJ
ejpam-5788	711	3	distributions	distribution	NOUN
ejpam-5788	711	4	of	of	ADP
ejpam-5788	711	5	the	the	DET
ejpam-5788	711	6	unknown	unknown	ADJ
ejpam-5788	711	7	parameters	parameter	NOUN
ejpam-5788	711	8	suggest	suggest	VERB
ejpam-5788	711	9	that	that	SCONJ
ejpam-5788	711	10	certain	certain	ADJ
ejpam-5788	711	11	parameters	parameter	NOUN
ejpam-5788	711	12	do	do	AUX
ejpam-5788	711	13	not	not	PART
ejpam-5788	711	14	conform	conform	VERB
ejpam-5788	711	15	to	to	ADP
ejpam-5788	711	16	a	a	DET
ejpam-5788	711	17	widely	widely	ADV
ejpam-5788	711	18	recognised	recognise	VERB
ejpam-5788	711	19	distribution	distribution	NOUN
ejpam-5788	711	20	.	.	PUNCT
ejpam-5788	712	1	as	as	ADP
ejpam-5788	712	2	a	a	DET
ejpam-5788	712	3	result	result	NOUN
ejpam-5788	712	4	,	,	PUNCT
ejpam-5788	712	5	we	we	PRON
ejpam-5788	712	6	employed	employ	VERB
ejpam-5788	712	7	metropolis	metropolis	PROPN
ejpam-5788	712	8	-	-	PUNCT
ejpam-5788	712	9	hastings	hastings	PROPN
ejpam-5788	712	10	sampling	sample	VERB
ejpam-5788	712	11	in	in	ADP
ejpam-5788	712	12	the	the	DET
ejpam-5788	712	13	gibbs	gibbs	PROPN
ejpam-5788	712	14	sampling	sample	VERB
ejpam-5788	712	15	procedure	procedure	NOUN
ejpam-5788	712	16	to	to	PART
ejpam-5788	712	17	compute	compute	VERB
ejpam-5788	712	18	the	the	DET
ejpam-5788	712	19	bayes	bayes	NOUN
ejpam-5788	712	20	estimates	estimate	VERB
ejpam-5788	712	21	together	together	ADV
ejpam-5788	712	22	with	with	ADP
ejpam-5788	712	23	their	their	PRON
ejpam-5788	712	24	corresponding	corresponding	ADJ
ejpam-5788	712	25	credible	credible	ADJ
ejpam-5788	712	26	intervals	interval	NOUN
ejpam-5788	712	27	.	.	PUNCT
ejpam-5788	713	1	moreover	moreover	ADV
ejpam-5788	713	2	,	,	PUNCT
ejpam-5788	713	3	the	the	DET
ejpam-5788	713	4	empirical	empirical	ADJ
ejpam-5788	713	5	findings	finding	NOUN
ejpam-5788	713	6	indicate	indicate	VERB
ejpam-5788	713	7	that	that	SCONJ
ejpam-5788	713	8	the	the	DET
ejpam-5788	713	9	utilization	utilization	NOUN
ejpam-5788	713	10	of	of	ADP
ejpam-5788	713	11	informative	informative	ADJ
ejpam-5788	713	12	priors	prior	NOUN
ejpam-5788	713	13	in	in	ADP
ejpam-5788	713	14	the	the	DET
ejpam-5788	713	15	bayes	bayes	PROPN
ejpam-5788	713	16	approach	approach	NOUN
ejpam-5788	713	17	yielded	yield	VERB
ejpam-5788	713	18	superior	superior	ADJ
ejpam-5788	713	19	outcomes	outcome	NOUN
ejpam-5788	713	20	compared	compare	VERB
ejpam-5788	713	21	to	to	ADP
ejpam-5788	713	22	the	the	DET
ejpam-5788	713	23	maximum	maximum	ADJ
ejpam-5788	713	24	likelihood	likelihood	NOUN
ejpam-5788	713	25	(	(	PUNCT
ejpam-5788	713	26	ml	ml	NOUN
ejpam-5788	713	27	)	)	PUNCT
ejpam-5788	713	28	technique	technique	NOUN
ejpam-5788	713	29	,	,	PUNCT
ejpam-5788	713	30	regardless	regardless	ADV
ejpam-5788	713	31	of	of	ADP
ejpam-5788	713	32	whether	whether	SCONJ
ejpam-5788	713	33	the	the	DET
ejpam-5788	713	34	newton	newton	PROPN
ejpam-5788	713	35	-	-	PUNCT
ejpam-5788	713	36	raphson	raphson	NOUN
ejpam-5788	713	37	(	(	PUNCT
ejpam-5788	713	38	nr	nr	NOUN
ejpam-5788	713	39	)	)	PUNCT
ejpam-5788	713	40	or	or	CCONJ
ejpam-5788	713	41	expectation	expectation	NOUN
ejpam-5788	713	42	-	-	PUNCT
ejpam-5788	713	43	maximization	maximization	NOUN
ejpam-5788	713	44	(	(	PUNCT
ejpam-5788	713	45	em	em	PRON
ejpam-5788	713	46	)	)	PUNCT
ejpam-5788	713	47	algorithm	algorithm	NOUN
ejpam-5788	713	48	was	be	AUX
ejpam-5788	713	49	employed	employ	VERB
ejpam-5788	713	50	.	.	PUNCT
ejpam-5788	714	1	furthermore	furthermore	ADV
ejpam-5788	714	2	,	,	PUNCT
ejpam-5788	714	3	it	it	PRON
ejpam-5788	714	4	is	be	AUX
ejpam-5788	714	5	well	well	ADV
ejpam-5788	714	6	acknowledged	acknowledge	VERB
ejpam-5788	714	7	that	that	SCONJ
ejpam-5788	714	8	the	the	DET
ejpam-5788	714	9	estimates	estimate	NOUN
ejpam-5788	714	10	obtained	obtain	VERB
ejpam-5788	714	11	using	use	VERB
ejpam-5788	714	12	the	the	DET
ejpam-5788	714	13	expectation	expectation	NOUN
ejpam-5788	714	14	-	-	PUNCT
ejpam-5788	714	15	maximization	maximization	NOUN
ejpam-5788	714	16	(	(	PUNCT
ejpam-5788	714	17	em	em	NOUN
ejpam-5788	714	18	)	)	PUNCT
ejpam-5788	714	19	approach	approach	NOUN
ejpam-5788	714	20	tend	tend	VERB
ejpam-5788	714	21	to	to	PART
ejpam-5788	714	22	exhibit	exhibit	VERB
ejpam-5788	714	23	superior	superior	ADJ
ejpam-5788	714	24	performance	performance	NOUN
ejpam-5788	714	25	when	when	SCONJ
ejpam-5788	714	26	compared	compare	VERB
ejpam-5788	714	27	to	to	ADP
ejpam-5788	714	28	those	those	PRON
ejpam-5788	714	29	acquired	acquire	VERB
ejpam-5788	714	30	using	use	VERB
ejpam-5788	714	31	the	the	DET
ejpam-5788	714	32	newton	newton	PROPN
ejpam-5788	714	33	-	-	PUNCT
ejpam-5788	714	34	raphson	raphson	NOUN
ejpam-5788	714	35	(	(	PUNCT
ejpam-5788	714	36	nr	nr	NOUN
ejpam-5788	714	37	)	)	PUNCT
ejpam-5788	714	38	method	method	NOUN
ejpam-5788	714	39	.	.	PUNCT
ejpam-5788	715	1	this	this	PRON
ejpam-5788	715	2	is	be	AUX
ejpam-5788	715	3	seen	see	VERB
ejpam-5788	715	4	in	in	ADP
ejpam-5788	715	5	the	the	DET
ejpam-5788	715	6	significantly	significantly	ADV
ejpam-5788	715	7	lower	low	ADJ
ejpam-5788	715	8	values	value	NOUN
ejpam-5788	715	9	of	of	ADP
ejpam-5788	715	10	mean	mean	ADJ
ejpam-5788	715	11	squared	square	VERB
ejpam-5788	715	12	errors	error	NOUN
ejpam-5788	715	13	(	(	PUNCT
ejpam-5788	715	14	mses	ms	NOUN
ejpam-5788	715	15	)	)	PUNCT
ejpam-5788	715	16	and	and	CCONJ
ejpam-5788	715	17	average	average	ADJ
ejpam-5788	715	18	widths	width	NOUN
ejpam-5788	715	19	of	of	ADP
ejpam-5788	715	20	the	the	DET
ejpam-5788	715	21	interval	interval	NOUN
ejpam-5788	715	22	estimators	estimator	NOUN
ejpam-5788	715	23	.	.	PUNCT
ejpam-5788	716	1	in	in	ADP
ejpam-5788	716	2	this	this	DET
ejpam-5788	716	3	study	study	NOUN
ejpam-5788	716	4	,	,	PUNCT
ejpam-5788	716	5	our	our	PRON
ejpam-5788	716	6	primary	primary	ADJ
ejpam-5788	716	7	focus	focus	NOUN
ejpam-5788	716	8	has	have	AUX
ejpam-5788	716	9	been	be	AUX
ejpam-5788	716	10	on	on	ADP
ejpam-5788	716	11	type	type	NOUN
ejpam-5788	716	12	-	-	PUNCT
ejpam-5788	716	13	i	i	PRON
ejpam-5788	716	14	ghcs	ghcs	VERB
ejpam-5788	716	15	and	and	CCONJ
ejpam-5788	716	16	npt	npt	PROPN
ejpam-5788	716	17	distribution	distribution	NOUN
ejpam-5788	716	18	.	.	PUNCT
ejpam-5788	717	1	however	however	ADV
ejpam-5788	717	2	,	,	PUNCT
ejpam-5788	717	3	it	it	PRON
ejpam-5788	717	4	is	be	AUX
ejpam-5788	717	5	worth	worth	ADJ
ejpam-5788	717	6	noting	note	VERB
ejpam-5788	717	7	that	that	SCONJ
ejpam-5788	717	8	the	the	DET
ejpam-5788	717	9	methodology	methodology	NOUN
ejpam-5788	717	10	discussed	discuss	VERB
ejpam-5788	717	11	can	can	AUX
ejpam-5788	717	12	also	also	ADV
ejpam-5788	717	13	be	be	AUX
ejpam-5788	717	14	applied	apply	VERB
ejpam-5788	717	15	to	to	ADP
ejpam-5788	717	16	other	other	ADJ
ejpam-5788	717	17	distribution	distribution	NOUN
ejpam-5788	717	18	and	and	CCONJ
ejpam-5788	717	19	censoring	censor	VERB
ejpam-5788	717	20	schemes	scheme	NOUN
ejpam-5788	717	21	.	.	PUNCT
ejpam-5788	718	1	there	there	PRON
ejpam-5788	718	2	are	be	VERB
ejpam-5788	718	3	several	several	ADJ
ejpam-5788	718	4	additional	additional	ADJ
ejpam-5788	718	5	tasks	task	NOUN
ejpam-5788	718	6	that	that	PRON
ejpam-5788	718	7	can	can	AUX
ejpam-5788	718	8	be	be	AUX
ejpam-5788	718	9	pursued	pursue	VERB
ejpam-5788	718	10	in	in	ADP
ejpam-5788	718	11	this	this	DET
ejpam-5788	718	12	area	area	NOUN
ejpam-5788	718	13	.	.	PUNCT
ejpam-5788	719	1	these	these	DET
ejpam-5788	719	2	topics	topic	NOUN
ejpam-5788	719	3	present	present	VERB
ejpam-5788	719	4	potential	potential	ADJ
ejpam-5788	719	5	avenues	avenue	NOUN
ejpam-5788	719	6	for	for	ADP
ejpam-5788	719	7	future	future	ADJ
ejpam-5788	719	8	investigation	investigation	NOUN
ejpam-5788	719	9	.	.	PUNCT
ejpam-5788	720	1	in	in	ADP
ejpam-5788	720	2	conclusion	conclusion	NOUN
ejpam-5788	720	3	,	,	PUNCT
ejpam-5788	720	4	we	we	PRON
ejpam-5788	720	5	propose	propose	VERB
ejpam-5788	720	6	the	the	DET
ejpam-5788	720	7	utilization	utilization	NOUN
ejpam-5788	720	8	of	of	ADP
ejpam-5788	720	9	markov	markov	NOUN
ejpam-5788	720	10	chain	chain	NOUN
ejpam-5788	720	11	monte	monte	PROPN
ejpam-5788	720	12	carlo	carlo	PROPN
ejpam-5788	720	13	(	(	PUNCT
ejpam-5788	720	14	mcmc	mcmc	PROPN
ejpam-5788	720	15	)	)	PUNCT
ejpam-5788	720	16	and	and	CCONJ
ejpam-5788	720	17	expectation	expectation	NOUN
ejpam-5788	720	18	-	-	PUNCT
ejpam-5788	720	19	maximization	maximization	NOUN
ejpam-5788	720	20	(	(	PUNCT
ejpam-5788	720	21	em	em	NOUN
ejpam-5788	720	22	)	)	PUNCT
ejpam-5788	720	23	methodologies	methodology	NOUN
ejpam-5788	720	24	in	in	ADP
ejpam-5788	720	25	conjunction	conjunction	NOUN
ejpam-5788	720	26	with	with	ADP
ejpam-5788	720	27	partially	partially	ADV
ejpam-5788	720	28	accelerated	accelerate	VERB
ejpam-5788	720	29	life	life	NOUN
ejpam-5788	720	30	testing	testing	NOUN
ejpam-5788	720	31	techniques	technique	NOUN
ejpam-5788	720	32	,	,	PUNCT
ejpam-5788	720	33	specifically	specifically	ADV
ejpam-5788	720	34	employing	employ	VERB
ejpam-5788	720	35	type	type	NOUN
ejpam-5788	720	36	-	-	PUNCT
ejpam-5788	720	37	i	i	NOUN
ejpam-5788	720	38	ghcs	ghcs	PROPN
ejpam-5788	720	39	data	datum	NOUN
ejpam-5788	720	40	,	,	PUNCT
ejpam-5788	720	41	for	for	ADP
ejpam-5788	720	42	the	the	DET
ejpam-5788	720	43	purpose	purpose	NOUN
ejpam-5788	720	44	of	of	ADP
ejpam-5788	720	45	life	life	NOUN
ejpam-5788	720	46	testing	testing	NOUN
ejpam-5788	720	47	and	and	CCONJ
ejpam-5788	720	48	reliability	reliability	NOUN
ejpam-5788	720	49	modeling	modeling	NOUN
ejpam-5788	720	50	.	.	PUNCT
ejpam-5788	721	1	references	reference	NOUN
ejpam-5788	721	2	[	[	X
ejpam-5788	721	3	1	1	X
ejpam-5788	721	4	]	]	PUNCT
ejpam-5788	721	5	david	david	PROPN
ejpam-5788	721	6	collett	collett	PROPN
ejpam-5788	721	7	.	.	PUNCT
ejpam-5788	722	1	modelling	model	VERB
ejpam-5788	722	2	survival	survival	NOUN
ejpam-5788	722	3	data	datum	NOUN
ejpam-5788	722	4	in	in	ADP
ejpam-5788	722	5	medical	medical	ADJ
ejpam-5788	722	6	research	research	NOUN
ejpam-5788	722	7	.	.	PUNCT
ejpam-5788	723	1	crc	crc	PROPN
ejpam-5788	723	2	press	press	PROPN
ejpam-5788	723	3	,	,	PUNCT
ejpam-5788	723	4	boca	boca	PROPN
ejpam-5788	723	5	raton	raton	PROPN
ejpam-5788	723	6	,	,	PUNCT
ejpam-5788	723	7	fl	fl	PROPN
ejpam-5788	723	8	,	,	PUNCT
ejpam-5788	723	9	2023	2023	NUM
ejpam-5788	723	10	.	.	PUNCT
ejpam-5788	724	1	[	[	X
ejpam-5788	724	2	2	2	NUM
ejpam-5788	724	3	]	]	PUNCT
ejpam-5788	724	4	chin	chin	NOUN
ejpam-5788	724	5	diew	diew	PROPN
ejpam-5788	724	6	lai	lai	PROPN
ejpam-5788	724	7	and	and	CCONJ
ejpam-5788	724	8	min	min	PROPN
ejpam-5788	724	9	xie	xie	PROPN
ejpam-5788	724	10	.	.	PUNCT
ejpam-5788	725	1	stochastic	stochastic	ADJ
ejpam-5788	725	2	ageing	ageing	NOUN
ejpam-5788	725	3	and	and	CCONJ
ejpam-5788	725	4	dependence	dependence	NOUN
ejpam-5788	725	5	for	for	ADP
ejpam-5788	725	6	reliability	reliability	NOUN
ejpam-5788	725	7	.	.	PUNCT
ejpam-5788	726	1	springer	springer	NOUN
ejpam-5788	726	2	,	,	PUNCT
ejpam-5788	726	3	new	new	PROPN
ejpam-5788	726	4	york	york	PROPN
ejpam-5788	726	5	,	,	PUNCT
ejpam-5788	726	6	2006	2006	NUM
ejpam-5788	726	7	.	.	PUNCT
ejpam-5788	727	1	a.	a.	PROPN
ejpam-5788	727	2	a.	a.	PROPN
ejpam-5788	727	3	soliman	soliman	PROPN
ejpam-5788	727	4	et	et	PROPN
ejpam-5788	727	5	al	al	PROPN
ejpam-5788	727	6	.	.	PUNCT
ejpam-5788	727	7	/	/	SYM
ejpam-5788	727	8	eur	eur	PROPN
ejpam-5788	727	9	.	.	PUNCT
ejpam-5788	728	1	j.	j.	PROPN
ejpam-5788	728	2	pure	pure	PROPN
ejpam-5788	728	3	appl	appl	PROPN
ejpam-5788	728	4	.	.	PROPN
ejpam-5788	728	5	math	math	PROPN
ejpam-5788	728	6	,	,	PUNCT
ejpam-5788	728	7	18	18	NUM
ejpam-5788	728	8	(	(	PUNCT
ejpam-5788	728	9	2	2	NUM
ejpam-5788	728	10	)	)	PUNCT
ejpam-5788	728	11	(	(	PUNCT
ejpam-5788	728	12	2025	2025	NUM
ejpam-5788	728	13	)	)	PUNCT
ejpam-5788	728	14	,	,	PUNCT
ejpam-5788	728	15	5788	5788	NUM
ejpam-5788	728	16	32	32	NUM
ejpam-5788	728	17	of	of	ADP
ejpam-5788	728	18	34	34	NUM
ejpam-5788	729	1	[	[	X
ejpam-5788	729	2	3	3	NUM
ejpam-5788	729	3	]	]	PUNCT
ejpam-5788	729	4	mousa	mousa	PROPN
ejpam-5788	729	5	abdi	abdi	PROPN
ejpam-5788	729	6	,	,	PUNCT
ejpam-5788	729	7	akbar	akbar	NOUN
ejpam-5788	729	8	asgharzadeh	asgharzadeh	NOUN
ejpam-5788	729	9	,	,	PUNCT
ejpam-5788	729	10	hassan	hassan	PROPN
ejpam-5788	729	11	s.	s.	PROPN
ejpam-5788	729	12	bakouch	bakouch	PROPN
ejpam-5788	729	13	,	,	PUNCT
ejpam-5788	729	14	and	and	CCONJ
ejpam-5788	729	15	zahra	zahra	PROPN
ejpam-5788	729	16	alipour	alipour	PROPN
ejpam-5788	729	17	.	.	PUNCT
ejpam-5788	730	1	a	a	DET
ejpam-5788	730	2	new	new	ADJ
ejpam-5788	730	3	compound	compound	NOUN
ejpam-5788	730	4	gamma	gamma	NOUN
ejpam-5788	730	5	and	and	CCONJ
ejpam-5788	730	6	lindley	lindley	NOUN
ejpam-5788	730	7	distribution	distribution	NOUN
ejpam-5788	730	8	with	with	ADP
ejpam-5788	730	9	application	application	NOUN
ejpam-5788	730	10	to	to	ADP
ejpam-5788	730	11	failure	failure	NOUN
ejpam-5788	730	12	data	datum	NOUN
ejpam-5788	730	13	.	.	PUNCT
ejpam-5788	731	1	austrian	austrian	ADJ
ejpam-5788	731	2	journal	journal	PROPN
ejpam-5788	731	3	of	of	ADP
ejpam-5788	731	4	statistics	statistic	NOUN
ejpam-5788	731	5	,	,	PUNCT
ejpam-5788	731	6	48(3):54–75	48(3):54–75	NUM
ejpam-5788	731	7	,	,	PUNCT
ejpam-5788	731	8	2019	2019	NUM
ejpam-5788	731	9	.	.	PUNCT
ejpam-5788	732	1	[	[	X
ejpam-5788	732	2	4	4	X
ejpam-5788	732	3	]	]	PUNCT
ejpam-5788	732	4	romano	romano	ADJ
ejpam-5788	732	5	demicheli	demicheli	ADJ
ejpam-5788	732	6	,	,	PUNCT
ejpam-5788	732	7	gianni	gianni	PROPN
ejpam-5788	732	8	bonadonna	bonadonna	PROPN
ejpam-5788	732	9	,	,	PUNCT
ejpam-5788	732	10	william	william	PROPN
ejpam-5788	732	11	j.	j.	PROPN
ejpam-5788	732	12	m.	m.	PROPN
ejpam-5788	732	13	hrushesky	hrushesky	PROPN
ejpam-5788	732	14	,	,	PUNCT
ejpam-5788	732	15	michael	michael	PROPN
ejpam-5788	732	16	w.	w.	PROPN
ejpam-5788	732	17	retsky	retsky	PROPN
ejpam-5788	732	18	,	,	PUNCT
ejpam-5788	732	19	and	and	CCONJ
ejpam-5788	732	20	pinuccia	pinuccia	PROPN
ejpam-5788	732	21	valagussa	valagussa	PROPN
ejpam-5788	732	22	.	.	PUNCT
ejpam-5788	733	1	menopausal	menopausal	ADJ
ejpam-5788	733	2	status	status	NOUN
ejpam-5788	733	3	dependence	dependence	NOUN
ejpam-5788	733	4	of	of	ADP
ejpam-5788	733	5	the	the	DET
ejpam-5788	733	6	timing	timing	NOUN
ejpam-5788	733	7	of	of	ADP
ejpam-5788	733	8	breast	breast	NOUN
ejpam-5788	733	9	cancer	cancer	NOUN
ejpam-5788	733	10	recurrence	recurrence	NOUN
ejpam-5788	733	11	after	after	ADP
ejpam-5788	733	12	surgical	surgical	ADJ
ejpam-5788	733	13	removal	removal	NOUN
ejpam-5788	733	14	of	of	ADP
ejpam-5788	733	15	the	the	DET
ejpam-5788	733	16	primary	primary	ADJ
ejpam-5788	733	17	tumour	tumour	NOUN
ejpam-5788	733	18	.	.	PUNCT
ejpam-5788	734	1	breast	breast	NOUN
ejpam-5788	734	2	cancer	cancer	NOUN
ejpam-5788	734	3	research	research	NOUN
ejpam-5788	734	4	,	,	PUNCT
ejpam-5788	734	5	6(6):689–696	6(6):689–696	NUM
ejpam-5788	734	6	,	,	PUNCT
ejpam-5788	734	7	2004	2004	NUM
ejpam-5788	734	8	.	.	PUNCT
ejpam-5788	735	1	[	[	X
ejpam-5788	735	2	5	5	X
ejpam-5788	735	3	]	]	PUNCT
ejpam-5788	735	4	marcelo	marcelo	PROPN
ejpam-5788	735	5	bourguignon	bourguignon	PROPN
ejpam-5788	735	6	,	,	PUNCT
ejpam-5788	735	7	helton	helton	PROPN
ejpam-5788	735	8	saulo	saulo	PROPN
ejpam-5788	735	9	,	,	PUNCT
ejpam-5788	735	10	and	and	CCONJ
ejpam-5788	735	11	rodrigo	rodrigo	PROPN
ejpam-5788	735	12	nobre	nobre	PROPN
ejpam-5788	735	13	fernandez	fernandez	PROPN
ejpam-5788	735	14	.	.	PUNCT
ejpam-5788	736	1	a	a	DET
ejpam-5788	736	2	new	new	ADJ
ejpam-5788	736	3	paretotype	paretotype	NOUN
ejpam-5788	736	4	distribution	distribution	NOUN
ejpam-5788	736	5	with	with	ADP
ejpam-5788	736	6	applications	application	NOUN
ejpam-5788	736	7	in	in	ADP
ejpam-5788	736	8	reliability	reliability	NOUN
ejpam-5788	736	9	and	and	CCONJ
ejpam-5788	736	10	income	income	NOUN
ejpam-5788	736	11	data	datum	NOUN
ejpam-5788	736	12	.	.	PUNCT
ejpam-5788	737	1	physica	physica	PROPN
ejpam-5788	737	2	a	a	DET
ejpam-5788	737	3	:	:	PUNCT
ejpam-5788	737	4	statistical	statistical	ADJ
ejpam-5788	737	5	mechanics	mechanic	NOUN
ejpam-5788	737	6	and	and	CCONJ
ejpam-5788	737	7	its	its	PRON
ejpam-5788	737	8	applications	application	NOUN
ejpam-5788	737	9	,	,	PUNCT
ejpam-5788	737	10	457:166–175	457:166–175	NUM
ejpam-5788	737	11	,	,	PUNCT
ejpam-5788	737	12	2016	2016	NUM
ejpam-5788	737	13	.	.	PUNCT
ejpam-5788	738	1	[	[	X
ejpam-5788	738	2	6	6	NUM
ejpam-5788	738	3	]	]	PUNCT
ejpam-5788	738	4	paduthol	paduthol	NOUN
ejpam-5788	738	5	godan	godan	NOUN
ejpam-5788	738	6	sankaran	sankaran	VERB
ejpam-5788	738	7	,	,	PUNCT
ejpam-5788	738	8	n.	n.	PROPN
ejpam-5788	738	9	unnikrishnan	unnikrishnan	PROPN
ejpam-5788	738	10	nair	nair	PROPN
ejpam-5788	738	11	,	,	PUNCT
ejpam-5788	738	12	and	and	CCONJ
ejpam-5788	738	13	preethi	preethi	PROPN
ejpam-5788	738	14	john	john	PROPN
ejpam-5788	738	15	.	.	PUNCT
ejpam-5788	739	1	a	a	DET
ejpam-5788	739	2	family	family	NOUN
ejpam-5788	739	3	of	of	ADP
ejpam-5788	739	4	bivariate	bivariate	ADJ
ejpam-5788	739	5	pareto	pareto	ADJ
ejpam-5788	739	6	distributions	distribution	NOUN
ejpam-5788	739	7	.	.	PUNCT
ejpam-5788	740	1	statistica	statistica	NOUN
ejpam-5788	740	2	,	,	PUNCT
ejpam-5788	740	3	74(2):199–215	74(2):199–215	PROPN
ejpam-5788	740	4	,	,	PUNCT
ejpam-5788	740	5	2014	2014	NUM
ejpam-5788	740	6	.	.	PUNCT
ejpam-5788	741	1	[	[	X
ejpam-5788	741	2	7	7	X
ejpam-5788	741	3	]	]	X
ejpam-5788	741	4	ali	ali	PROPN
ejpam-5788	741	5	saadati	saadati	PROPN
ejpam-5788	741	6	nik	nik	PROPN
ejpam-5788	741	7	,	,	PUNCT
ejpam-5788	741	8	akbar	akbar	NOUN
ejpam-5788	741	9	asgharzadeh	asgharzadeh	NOUN
ejpam-5788	741	10	,	,	PUNCT
ejpam-5788	741	11	and	and	CCONJ
ejpam-5788	741	12	saralees	saralee	VERB
ejpam-5788	741	13	nadarajah	nadarajah	PROPN
ejpam-5788	741	14	.	.	PUNCT
ejpam-5788	742	1	comparisons	comparison	NOUN
ejpam-5788	742	2	of	of	ADP
ejpam-5788	742	3	methods	method	NOUN
ejpam-5788	742	4	of	of	ADP
ejpam-5788	742	5	estimation	estimation	NOUN
ejpam-5788	742	6	for	for	ADP
ejpam-5788	742	7	a	a	DET
ejpam-5788	742	8	new	new	ADJ
ejpam-5788	742	9	pareto	pareto	VERB
ejpam-5788	742	10	-	-	PUNCT
ejpam-5788	742	11	type	type	NOUN
ejpam-5788	742	12	distribution	distribution	NOUN
ejpam-5788	742	13	.	.	PUNCT
ejpam-5788	743	1	statistica	statistica	PROPN
ejpam-5788	743	2	,	,	PUNCT
ejpam-5788	743	3	79(3):291–319	79(3):291–319	PROPN
ejpam-5788	743	4	,	,	PUNCT
ejpam-5788	743	5	2019	2019	NUM
ejpam-5788	743	6	.	.	PUNCT
ejpam-5788	744	1	[	[	X
ejpam-5788	744	2	8	8	NUM
ejpam-5788	744	3	]	]	PUNCT
ejpam-5788	744	4	a.	a.	PROPN
ejpam-5788	744	5	saadati	saadati	PROPN
ejpam-5788	744	6	nik	nik	PROPN
ejpam-5788	744	7	,	,	PUNCT
ejpam-5788	744	8	akbar	akbar	NOUN
ejpam-5788	744	9	asgharzadeh	asgharzadeh	NOUN
ejpam-5788	744	10	,	,	PUNCT
ejpam-5788	744	11	and	and	CCONJ
ejpam-5788	744	12	mohammad	mohammad	PROPN
ejpam-5788	744	13	z.	z.	PROPN
ejpam-5788	744	14	raqab	raqab	PROPN
ejpam-5788	744	15	.	.	PUNCT
ejpam-5788	745	1	estimation	estimation	NOUN
ejpam-5788	745	2	and	and	CCONJ
ejpam-5788	745	3	prediction	prediction	NOUN
ejpam-5788	745	4	for	for	ADP
ejpam-5788	745	5	a	a	DET
ejpam-5788	745	6	new	new	ADJ
ejpam-5788	745	7	pareto	pareto	VERB
ejpam-5788	745	8	-	-	PUNCT
ejpam-5788	745	9	type	type	NOUN
ejpam-5788	745	10	distribution	distribution	NOUN
ejpam-5788	745	11	under	under	ADP
ejpam-5788	745	12	progressive	progressive	ADJ
ejpam-5788	745	13	type	type	NOUN
ejpam-5788	745	14	-	-	PUNCT
ejpam-5788	745	15	ii	ii	NOUN
ejpam-5788	745	16	censoring	censoring	NOUN
ejpam-5788	745	17	.	.	PUNCT
ejpam-5788	746	1	mathematics	mathematic	NOUN
ejpam-5788	746	2	and	and	CCONJ
ejpam-5788	746	3	computers	computer	NOUN
ejpam-5788	746	4	in	in	ADP
ejpam-5788	746	5	simulation	simulation	NOUN
ejpam-5788	746	6	,	,	PUNCT
ejpam-5788	746	7	190:508–530	190:508–530	NUM
ejpam-5788	746	8	,	,	PUNCT
ejpam-5788	746	9	2021	2021	NUM
ejpam-5788	746	10	.	.	PUNCT
ejpam-5788	747	1	[	[	X
ejpam-5788	747	2	9	9	NUM
ejpam-5788	747	3	]	]	SYM
ejpam-5788	747	4	josé	josé	ADJ
ejpam-5788	747	5	maŕıa	maŕıa	ADP
ejpam-5788	747	6	sarabia	sarabia	PROPN
ejpam-5788	747	7	,	,	PUNCT
ejpam-5788	747	8	vanesa	vanesa	PROPN
ejpam-5788	747	9	jorda	jorda	PROPN
ejpam-5788	747	10	,	,	PUNCT
ejpam-5788	747	11	and	and	CCONJ
ejpam-5788	747	12	faustino	faustino	PROPN
ejpam-5788	747	13	prieto	prieto	PROPN
ejpam-5788	747	14	.	.	PUNCT
ejpam-5788	748	1	on	on	ADP
ejpam-5788	748	2	a	a	DET
ejpam-5788	748	3	new	new	ADJ
ejpam-5788	748	4	pareto	pareto	VERB
ejpam-5788	748	5	-	-	PUNCT
ejpam-5788	748	6	type	type	NOUN
ejpam-5788	748	7	distribution	distribution	NOUN
ejpam-5788	748	8	with	with	ADP
ejpam-5788	748	9	applications	application	NOUN
ejpam-5788	748	10	in	in	ADP
ejpam-5788	748	11	the	the	DET
ejpam-5788	748	12	study	study	NOUN
ejpam-5788	748	13	of	of	ADP
ejpam-5788	748	14	income	income	NOUN
ejpam-5788	748	15	inequality	inequality	NOUN
ejpam-5788	748	16	and	and	CCONJ
ejpam-5788	748	17	risk	risk	NOUN
ejpam-5788	748	18	analysis	analysis	NOUN
ejpam-5788	748	19	.	.	PUNCT
ejpam-5788	749	1	physica	physica	NOUN
ejpam-5788	749	2	a	a	DET
ejpam-5788	749	3	:	:	PUNCT
ejpam-5788	749	4	statistical	statistical	ADJ
ejpam-5788	749	5	mechanics	mechanic	NOUN
ejpam-5788	749	6	and	and	CCONJ
ejpam-5788	749	7	its	its	PRON
ejpam-5788	749	8	applications	application	NOUN
ejpam-5788	749	9	,	,	PUNCT
ejpam-5788	749	10	527:121277	527:121277	NUM
ejpam-5788	749	11	,	,	PUNCT
ejpam-5788	749	12	2019	2019	NUM
ejpam-5788	749	13	.	.	PUNCT
ejpam-5788	750	1	[	[	X
ejpam-5788	750	2	10	10	NUM
ejpam-5788	750	3	]	]	X
ejpam-5788	750	4	kadir	kadir	PROPN
ejpam-5788	750	5	karakaya	karakaya	PROPN
ejpam-5788	750	6	,	,	PUNCT
ejpam-5788	750	7	yunus	yunus	PROPN
ejpam-5788	750	8	akdoğan	akdoğan	PROPN
ejpam-5788	750	9	,	,	PUNCT
ejpam-5788	750	10	a.	a.	PROPN
ejpam-5788	750	11	saadati	saadati	PROPN
ejpam-5788	750	12	nik	nik	PROPN
ejpam-5788	750	13	,	,	PUNCT
ejpam-5788	750	14	coşkun	coşkun	PROPN
ejpam-5788	750	15	kuş	kuş	NOUN
ejpam-5788	750	16	,	,	PUNCT
ejpam-5788	750	17	and	and	CCONJ
ejpam-5788	750	18	akbar	akbar	NOUN
ejpam-5788	750	19	asgharzadeh	asgharzadeh	NOUN
ejpam-5788	750	20	.	.	PUNCT
ejpam-5788	751	1	a	a	DET
ejpam-5788	751	2	generalization	generalization	NOUN
ejpam-5788	751	3	of	of	ADP
ejpam-5788	751	4	new	new	ADJ
ejpam-5788	751	5	pareto	pareto	VERB
ejpam-5788	751	6	-	-	PUNCT
ejpam-5788	751	7	type	type	NOUN
ejpam-5788	751	8	distribution	distribution	NOUN
ejpam-5788	751	9	.	.	PUNCT
ejpam-5788	752	1	annals	annal	NOUN
ejpam-5788	752	2	of	of	ADP
ejpam-5788	752	3	data	data	NOUN
ejpam-5788	752	4	science	science	NOUN
ejpam-5788	752	5	,	,	PUNCT
ejpam-5788	752	6	9:1–15	9:1–15	NUM
ejpam-5788	752	7	,	,	PUNCT
ejpam-5788	752	8	2022	2022	NUM
ejpam-5788	752	9	.	.	PUNCT
ejpam-5788	753	1	[	[	X
ejpam-5788	753	2	11	11	NUM
ejpam-5788	753	3	]	]	PUNCT
ejpam-5788	753	4	a.	a.	PROPN
ejpam-5788	753	5	saadati	saadati	PROPN
ejpam-5788	753	6	nik	nik	PROPN
ejpam-5788	753	7	,	,	PUNCT
ejpam-5788	753	8	akbar	akbar	NOUN
ejpam-5788	753	9	asgharzadeh	asgharzadeh	NOUN
ejpam-5788	753	10	,	,	PUNCT
ejpam-5788	753	11	and	and	CCONJ
ejpam-5788	753	12	ayman	ayman	PROPN
ejpam-5788	753	13	baklizi	baklizi	PROPN
ejpam-5788	753	14	.	.	PUNCT
ejpam-5788	754	1	inference	inference	NOUN
ejpam-5788	754	2	based	base	VERB
ejpam-5788	754	3	on	on	ADP
ejpam-5788	754	4	new	new	ADJ
ejpam-5788	754	5	pareto	pareto	VERB
ejpam-5788	754	6	-	-	PUNCT
ejpam-5788	754	7	type	type	NOUN
ejpam-5788	754	8	records	record	NOUN
ejpam-5788	754	9	with	with	ADP
ejpam-5788	754	10	applications	application	NOUN
ejpam-5788	754	11	to	to	ADP
ejpam-5788	754	12	precipitation	precipitation	NOUN
ejpam-5788	754	13	and	and	CCONJ
ejpam-5788	754	14	covid-19	covid-19	PROPN
ejpam-5788	754	15	data	datum	NOUN
ejpam-5788	754	16	.	.	PUNCT
ejpam-5788	755	1	statistics	statistic	NOUN
ejpam-5788	755	2	,	,	PUNCT
ejpam-5788	755	3	optimization	optimization	NOUN
ejpam-5788	755	4	&	&	CCONJ
ejpam-5788	755	5	information	information	PROPN
ejpam-5788	755	6	computing	computing	PROPN
ejpam-5788	755	7	,	,	PUNCT
ejpam-5788	755	8	11(2):243–257	11(2):243–257	NOUN
ejpam-5788	755	9	,	,	PUNCT
ejpam-5788	755	10	2023	2023	NUM
ejpam-5788	755	11	.	.	PUNCT
ejpam-5788	756	1	[	[	X
ejpam-5788	756	2	12	12	NUM
ejpam-5788	756	3	]	]	X
ejpam-5788	756	4	morris	morris	PROPN
ejpam-5788	756	5	h.	h.	PROPN
ejpam-5788	756	6	degroot	degroot	PROPN
ejpam-5788	756	7	and	and	CCONJ
ejpam-5788	756	8	prem	prem	PROPN
ejpam-5788	756	9	k.	k.	PROPN
ejpam-5788	756	10	goel	goel	PROPN
ejpam-5788	756	11	.	.	PUNCT
ejpam-5788	757	1	bayesian	bayesian	NOUN
ejpam-5788	757	2	estimation	estimation	NOUN
ejpam-5788	757	3	and	and	CCONJ
ejpam-5788	757	4	optimal	optimal	ADJ
ejpam-5788	757	5	designs	design	NOUN
ejpam-5788	757	6	in	in	ADP
ejpam-5788	757	7	partially	partially	ADV
ejpam-5788	757	8	accelerated	accelerate	VERB
ejpam-5788	757	9	life	life	NOUN
ejpam-5788	757	10	testing	testing	NOUN
ejpam-5788	757	11	.	.	PUNCT
ejpam-5788	758	1	naval	naval	ADJ
ejpam-5788	758	2	research	research	PROPN
ejpam-5788	758	3	logistics	logistic	NOUN
ejpam-5788	758	4	quarterly	quarterly	ADV
ejpam-5788	758	5	,	,	PUNCT
ejpam-5788	758	6	26(2):223–235	26(2):223–235	NUM
ejpam-5788	758	7	,	,	PUNCT
ejpam-5788	758	8	1979	1979	NUM
ejpam-5788	758	9	.	.	PUNCT
ejpam-5788	759	1	[	[	X
ejpam-5788	759	2	13	13	NUM
ejpam-5788	759	3	]	]	PUNCT
ejpam-5788	759	4	vilijandas	vilijandas	PROPN
ejpam-5788	759	5	bagdonavicius	bagdonavicius	PROPN
ejpam-5788	759	6	and	and	CCONJ
ejpam-5788	759	7	mikhail	mikhail	PROPN
ejpam-5788	759	8	nikulin	nikulin	PROPN
ejpam-5788	759	9	.	.	PUNCT
ejpam-5788	760	1	accelerated	accelerate	VERB
ejpam-5788	760	2	life	life	NOUN
ejpam-5788	760	3	models	model	NOUN
ejpam-5788	760	4	:	:	PUNCT
ejpam-5788	760	5	modeling	modeling	NOUN
ejpam-5788	760	6	and	and	CCONJ
ejpam-5788	760	7	statistical	statistical	ADJ
ejpam-5788	760	8	analysis	analysis	NOUN
ejpam-5788	760	9	.	.	PUNCT
ejpam-5788	761	1	chapman	chapman	NOUN
ejpam-5788	761	2	and	and	CCONJ
ejpam-5788	761	3	hall	hall	PROPN
ejpam-5788	761	4	/	/	SYM
ejpam-5788	761	5	crc	crc	PROPN
ejpam-5788	761	6	,	,	PUNCT
ejpam-5788	761	7	boca	boca	PROPN
ejpam-5788	761	8	raton	raton	PROPN
ejpam-5788	761	9	,	,	PUNCT
ejpam-5788	761	10	fl	fl	PROPN
ejpam-5788	761	11	,	,	PUNCT
ejpam-5788	761	12	2001	2001	NUM
ejpam-5788	761	13	.	.	PUNCT
ejpam-5788	762	1	[	[	X
ejpam-5788	762	2	14	14	NUM
ejpam-5788	762	3	]	]	X
ejpam-5788	762	4	ayon	ayon	PROPN
ejpam-5788	762	5	ganguly	ganguly	PROPN
ejpam-5788	762	6	and	and	CCONJ
ejpam-5788	762	7	debasis	debasis	NOUN
ejpam-5788	762	8	kundu	kundu	NOUN
ejpam-5788	762	9	.	.	PUNCT
ejpam-5788	763	1	analysis	analysis	NOUN
ejpam-5788	763	2	of	of	ADP
ejpam-5788	763	3	simple	simple	ADJ
ejpam-5788	763	4	step	step	NOUN
ejpam-5788	763	5	-	-	PUNCT
ejpam-5788	763	6	stress	stress	NOUN
ejpam-5788	763	7	model	model	NOUN
ejpam-5788	763	8	in	in	ADP
ejpam-5788	763	9	presence	presence	NOUN
ejpam-5788	763	10	of	of	ADP
ejpam-5788	763	11	competing	compete	VERB
ejpam-5788	763	12	risks	risk	NOUN
ejpam-5788	763	13	.	.	PUNCT
ejpam-5788	764	1	journal	journal	NOUN
ejpam-5788	764	2	of	of	ADP
ejpam-5788	764	3	statistical	statistical	ADJ
ejpam-5788	764	4	computation	computation	NOUN
ejpam-5788	764	5	and	and	CCONJ
ejpam-5788	764	6	simulation	simulation	NOUN
ejpam-5788	764	7	,	,	PUNCT
ejpam-5788	764	8	86(10):1989	86(10):1989	NUM
ejpam-5788	764	9	–	–	PUNCT
ejpam-5788	764	10	2006	2006	NUM
ejpam-5788	764	11	,	,	PUNCT
ejpam-5788	764	12	2016	2016	NUM
ejpam-5788	764	13	.	.	PUNCT
ejpam-5788	765	1	[	[	X
ejpam-5788	765	2	15	15	NUM
ejpam-5788	765	3	]	]	X
ejpam-5788	765	4	man	man	NOUN
ejpam-5788	765	5	ho	ho	PROPN
ejpam-5788	765	6	ling	ling	PROPN
ejpam-5788	765	7	and	and	CCONJ
ejpam-5788	765	8	x.	x.	PROPN
ejpam-5788	765	9	w.	w.	PROPN
ejpam-5788	765	10	hu	hu	PROPN
ejpam-5788	765	11	.	.	PUNCT
ejpam-5788	766	1	optimal	optimal	ADJ
ejpam-5788	766	2	design	design	NOUN
ejpam-5788	766	3	of	of	ADP
ejpam-5788	766	4	simple	simple	ADJ
ejpam-5788	766	5	step	step	NOUN
ejpam-5788	766	6	-	-	PUNCT
ejpam-5788	766	7	stress	stress	NOUN
ejpam-5788	766	8	accelerated	accelerate	VERB
ejpam-5788	766	9	life	life	NOUN
ejpam-5788	766	10	tests	test	NOUN
ejpam-5788	766	11	for	for	ADP
ejpam-5788	766	12	one	one	NUM
ejpam-5788	766	13	-	-	PUNCT
ejpam-5788	766	14	shot	shot	NOUN
ejpam-5788	766	15	devices	device	NOUN
ejpam-5788	766	16	under	under	ADP
ejpam-5788	766	17	weibull	weibull	PROPN
ejpam-5788	766	18	distributions	distribution	NOUN
ejpam-5788	766	19	.	.	PUNCT
ejpam-5788	767	1	reliability	reliability	NOUN
ejpam-5788	767	2	engineering	engineering	NOUN
ejpam-5788	767	3	&	&	CCONJ
ejpam-5788	767	4	system	system	NOUN
ejpam-5788	767	5	safety	safety	NOUN
ejpam-5788	767	6	,	,	PUNCT
ejpam-5788	767	7	193:106630	193:106630	NUM
ejpam-5788	767	8	,	,	PUNCT
ejpam-5788	767	9	2020	2020	NUM
ejpam-5788	767	10	.	.	PUNCT
ejpam-5788	768	1	[	[	X
ejpam-5788	768	2	16	16	NUM
ejpam-5788	768	3	]	]	X
ejpam-5788	768	4	n.	n.	PROPN
ejpam-5788	768	5	a.	a.	PROPN
ejpam-5788	768	6	abou	abou	PROPN
ejpam-5788	768	7	-	-	PUNCT
ejpam-5788	768	8	elheggag	elheggag	PROPN
ejpam-5788	768	9	,	,	PUNCT
ejpam-5788	768	10	al	al	PROPN
ejpam-5788	768	11	-	-	PUNCT
ejpam-5788	768	12	wageh	wageh	NOUN
ejpam-5788	768	13	a.	a.	NOUN
ejpam-5788	768	14	farghal	farghal	PROPN
ejpam-5788	768	15	,	,	PUNCT
ejpam-5788	768	16	g.	g.	PROPN
ejpam-5788	768	17	a.	a.	PROPN
ejpam-5788	768	18	abd	abd	PROPN
ejpam-5788	768	19	-	-	PUNCT
ejpam-5788	768	20	elmougod	elmougod	PROPN
ejpam-5788	768	21	,	,	PUNCT
ejpam-5788	768	22	and	and	CCONJ
ejpam-5788	768	23	osama	osama	PROPN
ejpam-5788	768	24	m.	m.	NOUN
ejpam-5788	768	25	taha	taha	PROPN
ejpam-5788	768	26	.	.	PUNCT
ejpam-5788	769	1	progressive	progressive	ADJ
ejpam-5788	769	2	first	first	ADJ
ejpam-5788	769	3	-	-	PUNCT
ejpam-5788	769	4	failure	failure	NOUN
ejpam-5788	769	5	censored	censor	VERB
ejpam-5788	769	6	samples	sample	NOUN
ejpam-5788	769	7	in	in	ADP
ejpam-5788	769	8	estimation	estimation	NOUN
ejpam-5788	769	9	and	and	CCONJ
ejpam-5788	769	10	prediction	prediction	NOUN
ejpam-5788	769	11	of	of	ADP
ejpam-5788	769	12	nh	nh	NOUN
ejpam-5788	769	13	distribution	distribution	NOUN
ejpam-5788	769	14	.	.	PUNCT
ejpam-5788	770	1	journal	journal	PROPN
ejpam-5788	770	2	of	of	ADP
ejpam-5788	770	3	statistics	statistics	PROPN
ejpam-5788	770	4	applications	application	NOUN
ejpam-5788	770	5	&	&	CCONJ
ejpam-5788	770	6	probability	probability	NOUN
ejpam-5788	770	7	,	,	PUNCT
ejpam-5788	770	8	10(3):717–731	10(3):717–731	PROPN
ejpam-5788	770	9	,	,	PUNCT
ejpam-5788	770	10	2021	2021	NUM
ejpam-5788	770	11	.	.	PUNCT
ejpam-5788	771	1	[	[	X
ejpam-5788	771	2	17	17	NUM
ejpam-5788	771	3	]	]	X
ejpam-5788	771	4	abdullah	abdullah	PROPN
ejpam-5788	771	5	ali	ali	PROPN
ejpam-5788	771	6	h.	h.	PROPN
ejpam-5788	771	7	ahmadini	ahmadini	PROPN
ejpam-5788	771	8	,	,	PUNCT
ejpam-5788	771	9	wali	wali	PROPN
ejpam-5788	771	10	khan	khan	PROPN
ejpam-5788	771	11	mashwani	mashwani	PROPN
ejpam-5788	771	12	,	,	PUNCT
ejpam-5788	771	13	rehman	rehman	PROPN
ejpam-5788	771	14	ahmad	ahmad	PROPN
ejpam-5788	771	15	khan	khan	PROPN
ejpam-5788	771	16	sherwani	sherwani	PROPN
ejpam-5788	771	17	,	,	PUNCT
ejpam-5788	771	18	shokrya	shokrya	PROPN
ejpam-5788	771	19	s.	s.	PROPN
ejpam-5788	771	20	alshqaq	alshqaq	PROPN
ejpam-5788	771	21	,	,	PUNCT
ejpam-5788	771	22	farrukh	farrukh	PROPN
ejpam-5788	771	23	jamal	jamal	PROPN
ejpam-5788	771	24	,	,	PUNCT
ejpam-5788	771	25	miftahuddin	miftahuddin	PROPN
ejpam-5788	771	26	miftahuddin	miftahuddin	PROPN
ejpam-5788	771	27	,	,	PUNCT
ejpam-5788	771	28	kamran	kamran	PROPN
ejpam-5788	771	29	abbas	abbas	PROPN
ejpam-5788	771	30	,	,	PUNCT
ejpam-5788	771	31	faiza	faiza	PROPN
ejpam-5788	771	32	razaq	razaq	PROPN
ejpam-5788	771	33	,	,	PUNCT
ejpam-5788	771	34	mohammed	mohammed	PROPN
ejpam-5788	771	35	elgarhy	elgarhy	PROPN
ejpam-5788	771	36	,	,	PUNCT
ejpam-5788	771	37	and	and	CCONJ
ejpam-5788	771	38	sanaa	sanaa	PROPN
ejpam-5788	771	39	al	al	PROPN
ejpam-5788	771	40	-	-	PUNCT
ejpam-5788	771	41	marzouki	marzouki	NOUN
ejpam-5788	771	42	.	.	PUNCT
ejpam-5788	772	1	estimation	estimation	NOUN
ejpam-5788	772	2	of	of	ADP
ejpam-5788	772	3	constant	constant	ADJ
ejpam-5788	772	4	stress	stress	NOUN
ejpam-5788	772	5	a.	a.	PROPN
ejpam-5788	772	6	a.	a.	PROPN
ejpam-5788	772	7	soliman	soliman	PROPN
ejpam-5788	772	8	et	et	PROPN
ejpam-5788	772	9	al	al	PROPN
ejpam-5788	772	10	.	.	PUNCT
ejpam-5788	772	11	/	/	SYM
ejpam-5788	772	12	eur	eur	PROPN
ejpam-5788	772	13	.	.	PUNCT
ejpam-5788	773	1	j.	j.	PROPN
ejpam-5788	773	2	pure	pure	PROPN
ejpam-5788	773	3	appl	appl	PROPN
ejpam-5788	773	4	.	.	PROPN
ejpam-5788	773	5	math	math	PROPN
ejpam-5788	773	6	,	,	PUNCT
ejpam-5788	773	7	18	18	NUM
ejpam-5788	773	8	(	(	PUNCT
ejpam-5788	773	9	2	2	NUM
ejpam-5788	773	10	)	)	PUNCT
ejpam-5788	773	11	(	(	PUNCT
ejpam-5788	773	12	2025	2025	NUM
ejpam-5788	773	13	)	)	PUNCT
ejpam-5788	773	14	,	,	PUNCT
ejpam-5788	773	15	5788	5788	NUM
ejpam-5788	773	16	33	33	NUM
ejpam-5788	773	17	of	of	ADP
ejpam-5788	773	18	34	34	NUM
ejpam-5788	773	19	partially	partially	ADV
ejpam-5788	773	20	accelerated	accelerate	VERB
ejpam-5788	773	21	life	life	NOUN
ejpam-5788	773	22	test	test	NOUN
ejpam-5788	773	23	for	for	ADP
ejpam-5788	773	24	fréchet	fréchet	VERB
ejpam-5788	773	25	distribution	distribution	NOUN
ejpam-5788	773	26	with	with	ADP
ejpam-5788	773	27	type	type	NOUN
ejpam-5788	773	28	-	-	PUNCT
ejpam-5788	773	29	i	i	PRON
ejpam-5788	773	30	censoring	censor	VERB
ejpam-5788	773	31	.	.	PUNCT
ejpam-5788	774	1	mathematical	mathematical	ADJ
ejpam-5788	774	2	problems	problem	NOUN
ejpam-5788	774	3	in	in	ADP
ejpam-5788	774	4	engineering	engineering	NOUN
ejpam-5788	774	5	,	,	PUNCT
ejpam-5788	774	6	2021:5590406	2021:5590406	NUM
ejpam-5788	774	7	,	,	PUNCT
ejpam-5788	774	8	2021	2021	NUM
ejpam-5788	774	9	.	.	PUNCT
ejpam-5788	775	1	[	[	X
ejpam-5788	775	2	18	18	NUM
ejpam-5788	775	3	]	]	X
ejpam-5788	775	4	al	al	PROPN
ejpam-5788	775	5	-	-	PUNCT
ejpam-5788	775	6	wageh	wageh	NOUN
ejpam-5788	775	7	a.	a.	NOUN
ejpam-5788	775	8	farghal	farghal	PROPN
ejpam-5788	775	9	,	,	PUNCT
ejpam-5788	775	10	souha	souha	PROPN
ejpam-5788	775	11	k.	k.	PROPN
ejpam-5788	775	12	badr	badr	PROPN
ejpam-5788	775	13	,	,	PUNCT
ejpam-5788	775	14	hanaa	hanaa	PROPN
ejpam-5788	775	15	abu	abu	PROPN
ejpam-5788	775	16	-	-	PUNCT
ejpam-5788	775	17	zinadah	zinadah	PROPN
ejpam-5788	775	18	,	,	PUNCT
ejpam-5788	775	19	and	and	CCONJ
ejpam-5788	775	20	gamal	gamal	PROPN
ejpam-5788	775	21	a.	a.	PROPN
ejpam-5788	775	22	abdelmougod	abdelmougod	PROPN
ejpam-5788	775	23	.	.	PUNCT
ejpam-5788	776	1	analysis	analysis	NOUN
ejpam-5788	776	2	of	of	ADP
ejpam-5788	776	3	generalized	generalized	ADJ
ejpam-5788	776	4	inverted	inverted	ADJ
ejpam-5788	776	5	exponential	exponential	ADJ
ejpam-5788	776	6	competing	compete	VERB
ejpam-5788	776	7	risks	risk	NOUN
ejpam-5788	776	8	model	model	NOUN
ejpam-5788	776	9	in	in	ADP
ejpam-5788	776	10	presence	presence	NOUN
ejpam-5788	776	11	of	of	ADP
ejpam-5788	776	12	partially	partially	ADV
ejpam-5788	776	13	observed	observe	VERB
ejpam-5788	776	14	failure	failure	NOUN
ejpam-5788	776	15	modes	mode	NOUN
ejpam-5788	776	16	.	.	PUNCT
ejpam-5788	777	1	alexandria	alexandria	PROPN
ejpam-5788	777	2	engineering	engineering	PROPN
ejpam-5788	777	3	journal	journal	PROPN
ejpam-5788	777	4	,	,	PUNCT
ejpam-5788	777	5	78:74	78:74	NUM
ejpam-5788	777	6	–	–	PUNCT
ejpam-5788	777	7	87	87	NUM
ejpam-5788	777	8	,	,	PUNCT
ejpam-5788	777	9	2023	2023	NUM
ejpam-5788	777	10	.	.	PUNCT
ejpam-5788	778	1	[	[	X
ejpam-5788	778	2	19	19	NUM
ejpam-5788	778	3	]	]	PUNCT
ejpam-5788	778	4	seunggeun	seunggeun	NOUN
ejpam-5788	778	5	hyun	hyun	PROPN
ejpam-5788	778	6	and	and	CCONJ
ejpam-5788	778	7	jimin	jimin	PROPN
ejpam-5788	778	8	lee	lee	PROPN
ejpam-5788	778	9	.	.	PUNCT
ejpam-5788	778	10	constant	constant	ADJ
ejpam-5788	778	11	-	-	PUNCT
ejpam-5788	778	12	stress	stress	NOUN
ejpam-5788	778	13	partially	partially	ADV
ejpam-5788	778	14	accelerated	accelerate	VERB
ejpam-5788	778	15	life	life	NOUN
ejpam-5788	778	16	testing	testing	NOUN
ejpam-5788	778	17	for	for	ADP
ejpam-5788	778	18	log	log	NOUN
ejpam-5788	778	19	-	-	PUNCT
ejpam-5788	778	20	logistic	logistic	ADJ
ejpam-5788	778	21	distribution	distribution	NOUN
ejpam-5788	778	22	with	with	ADP
ejpam-5788	778	23	censored	censored	ADJ
ejpam-5788	778	24	data	datum	NOUN
ejpam-5788	778	25	.	.	PUNCT
ejpam-5788	779	1	journal	journal	PROPN
ejpam-5788	779	2	of	of	ADP
ejpam-5788	779	3	statistics	statistics	PROPN
ejpam-5788	779	4	applications	application	NOUN
ejpam-5788	779	5	&	&	CCONJ
ejpam-5788	779	6	probability	probability	NOUN
ejpam-5788	779	7	,	,	PUNCT
ejpam-5788	779	8	4(2):193–201	4(2):193–201	NUM
ejpam-5788	779	9	,	,	PUNCT
ejpam-5788	779	10	2015	2015	NUM
ejpam-5788	779	11	.	.	PUNCT
ejpam-5788	780	1	[	[	X
ejpam-5788	780	2	20	20	NUM
ejpam-5788	780	3	]	]	SYM
ejpam-5788	780	4	nagwa	nagwa	NOUN
ejpam-5788	780	5	m.	m.	PROPN
ejpam-5788	780	6	mohamed	mohamed	PROPN
ejpam-5788	780	7	.	.	PUNCT
ejpam-5788	781	1	estimation	estimation	NOUN
ejpam-5788	781	2	on	on	ADP
ejpam-5788	781	3	kumaraswamy	kumaraswamy	ADJ
ejpam-5788	781	4	-	-	PUNCT
ejpam-5788	781	5	inverse	inverse	ADJ
ejpam-5788	781	6	weibull	weibull	NOUN
ejpam-5788	781	7	distribution	distribution	NOUN
ejpam-5788	781	8	with	with	ADP
ejpam-5788	781	9	constant	constant	ADJ
ejpam-5788	781	10	stress	stress	NOUN
ejpam-5788	781	11	partially	partially	ADV
ejpam-5788	781	12	accelerated	accelerate	VERB
ejpam-5788	781	13	life	life	NOUN
ejpam-5788	781	14	tests	test	NOUN
ejpam-5788	781	15	.	.	PUNCT
ejpam-5788	782	1	applied	apply	VERB
ejpam-5788	782	2	mathematics	mathematics	PROPN
ejpam-5788	782	3	&	&	CCONJ
ejpam-5788	782	4	information	information	NOUN
ejpam-5788	782	5	sciences	sciences	PROPN
ejpam-5788	782	6	,	,	PUNCT
ejpam-5788	782	7	15(4):503–510	15(4):503–510	NUM
ejpam-5788	782	8	,	,	PUNCT
ejpam-5788	782	9	2021	2021	NUM
ejpam-5788	782	10	.	.	PUNCT
ejpam-5788	783	1	[	[	X
ejpam-5788	783	2	21	21	NUM
ejpam-5788	783	3	]	]	X
ejpam-5788	783	4	mazen	mazen	PROPN
ejpam-5788	783	5	nassar	nassar	PROPN
ejpam-5788	783	6	and	and	CCONJ
ejpam-5788	783	7	farouq	farouq	PROPN
ejpam-5788	783	8	mohammad	mohammad	PROPN
ejpam-5788	783	9	a.	a.	PROPN
ejpam-5788	783	10	alam	alam	PROPN
ejpam-5788	783	11	.	.	PUNCT
ejpam-5788	784	1	analysis	analysis	NOUN
ejpam-5788	784	2	of	of	ADP
ejpam-5788	784	3	modified	modify	VERB
ejpam-5788	784	4	kies	ky	NOUN
ejpam-5788	784	5	exponential	exponential	ADJ
ejpam-5788	784	6	distribution	distribution	NOUN
ejpam-5788	784	7	with	with	ADP
ejpam-5788	784	8	constant	constant	ADJ
ejpam-5788	784	9	stress	stress	NOUN
ejpam-5788	784	10	partially	partially	ADV
ejpam-5788	784	11	accelerated	accelerate	VERB
ejpam-5788	784	12	life	life	NOUN
ejpam-5788	784	13	tests	test	NOUN
ejpam-5788	784	14	under	under	ADP
ejpam-5788	784	15	type	type	NOUN
ejpam-5788	784	16	-	-	PUNCT
ejpam-5788	784	17	ii	ii	NOUN
ejpam-5788	784	18	censoring	censoring	NOUN
ejpam-5788	784	19	.	.	PUNCT
ejpam-5788	785	1	mathematics	mathematic	NOUN
ejpam-5788	785	2	,	,	PUNCT
ejpam-5788	785	3	10(5):819	10(5):819	NUM
ejpam-5788	785	4	,	,	PUNCT
ejpam-5788	785	5	2022	2022	NUM
ejpam-5788	785	6	.	.	PUNCT
ejpam-5788	786	1	[	[	X
ejpam-5788	786	2	22	22	NUM
ejpam-5788	786	3	]	]	X
ejpam-5788	786	4	benjamin	benjamin	PROPN
ejpam-5788	786	5	epstein	epstein	PROPN
ejpam-5788	786	6	.	.	PROPN
ejpam-5788	787	1	truncated	truncate	VERB
ejpam-5788	787	2	life	life	NOUN
ejpam-5788	787	3	tests	test	NOUN
ejpam-5788	787	4	in	in	ADP
ejpam-5788	787	5	the	the	DET
ejpam-5788	787	6	exponential	exponential	ADJ
ejpam-5788	787	7	case	case	NOUN
ejpam-5788	787	8	.	.	PUNCT
ejpam-5788	788	1	the	the	DET
ejpam-5788	788	2	annals	annal	NOUN
ejpam-5788	788	3	of	of	ADP
ejpam-5788	788	4	mathematical	mathematical	ADJ
ejpam-5788	788	5	statistics	statistic	NOUN
ejpam-5788	788	6	,	,	PUNCT
ejpam-5788	788	7	25(3):555–564	25(3):555–564	PROPN
ejpam-5788	788	8	,	,	PUNCT
ejpam-5788	788	9	1954	1954	NUM
ejpam-5788	788	10	.	.	PUNCT
ejpam-5788	789	1	[	[	X
ejpam-5788	789	2	23	23	NUM
ejpam-5788	789	3	]	]	X
ejpam-5788	789	4	nader	nader	PROPN
ejpam-5788	789	5	ebrahimi	ebrahimi	PROPN
ejpam-5788	789	6	.	.	PUNCT
ejpam-5788	790	1	estimating	estimate	VERB
ejpam-5788	790	2	the	the	DET
ejpam-5788	790	3	parameters	parameter	NOUN
ejpam-5788	790	4	of	of	ADP
ejpam-5788	790	5	an	an	DET
ejpam-5788	790	6	exponential	exponential	ADJ
ejpam-5788	790	7	distribution	distribution	NOUN
ejpam-5788	790	8	from	from	ADP
ejpam-5788	790	9	a	a	DET
ejpam-5788	790	10	hybrid	hybrid	ADJ
ejpam-5788	790	11	life	life	NOUN
ejpam-5788	790	12	test	test	NOUN
ejpam-5788	790	13	.	.	PUNCT
ejpam-5788	791	1	journal	journal	NOUN
ejpam-5788	791	2	of	of	ADP
ejpam-5788	791	3	statistical	statistical	ADJ
ejpam-5788	791	4	planning	planning	NOUN
ejpam-5788	791	5	and	and	CCONJ
ejpam-5788	791	6	inference	inference	NOUN
ejpam-5788	791	7	,	,	PUNCT
ejpam-5788	791	8	14(2	14(2	NUM
ejpam-5788	791	9	-	-	PUNCT
ejpam-5788	791	10	3):255–261	3):255–261	NUM
ejpam-5788	791	11	,	,	PUNCT
ejpam-5788	791	12	1986	1986	NUM
ejpam-5788	791	13	.	.	PUNCT
ejpam-5788	792	1	[	[	X
ejpam-5788	792	2	24	24	NUM
ejpam-5788	792	3	]	]	PUNCT
ejpam-5788	792	4	b.	b.	PROPN
ejpam-5788	792	5	chandrasekar	chandrasekar	PROPN
ejpam-5788	792	6	,	,	PUNCT
ejpam-5788	792	7	a.	a.	NOUN
ejpam-5788	792	8	childs	childs	PROPN
ejpam-5788	792	9	,	,	PUNCT
ejpam-5788	792	10	and	and	CCONJ
ejpam-5788	792	11	n.	n.	PROPN
ejpam-5788	792	12	balakrishnan	balakrishnan	PROPN
ejpam-5788	792	13	.	.	PUNCT
ejpam-5788	793	1	exact	exact	ADJ
ejpam-5788	793	2	likelihood	likelihood	NOUN
ejpam-5788	793	3	inference	inference	NOUN
ejpam-5788	793	4	for	for	ADP
ejpam-5788	793	5	the	the	DET
ejpam-5788	793	6	exponential	exponential	ADJ
ejpam-5788	793	7	distribution	distribution	NOUN
ejpam-5788	793	8	under	under	ADP
ejpam-5788	793	9	generalized	generalized	ADJ
ejpam-5788	793	10	type	type	NOUN
ejpam-5788	793	11	-	-	PUNCT
ejpam-5788	793	12	i	i	NOUN
ejpam-5788	793	13	and	and	CCONJ
ejpam-5788	793	14	type	type	NOUN
ejpam-5788	793	15	-	-	PUNCT
ejpam-5788	793	16	ii	ii	NOUN
ejpam-5788	793	17	hybrid	hybrid	NOUN
ejpam-5788	793	18	censoring	censoring	NOUN
ejpam-5788	793	19	.	.	PUNCT
ejpam-5788	794	1	naval	naval	ADJ
ejpam-5788	794	2	research	research	PROPN
ejpam-5788	794	3	logistics	logistic	NOUN
ejpam-5788	794	4	,	,	PUNCT
ejpam-5788	794	5	51(7):994–1004	51(7):994–1004	NUM
ejpam-5788	794	6	,	,	PUNCT
ejpam-5788	794	7	2004	2004	NUM
ejpam-5788	794	8	.	.	PUNCT
ejpam-5788	795	1	[	[	X
ejpam-5788	795	2	25	25	NUM
ejpam-5788	795	3	]	]	X
ejpam-5788	795	4	abdulaziz	abdulaziz	PROPN
ejpam-5788	795	5	s.	s.	PROPN
ejpam-5788	795	6	alghamdi	alghamdi	PROPN
ejpam-5788	795	7	.	.	PUNCT
ejpam-5788	796	1	statistical	statistical	ADJ
ejpam-5788	796	2	inferences	inference	NOUN
ejpam-5788	796	3	of	of	ADP
ejpam-5788	796	4	competing	compete	VERB
ejpam-5788	796	5	risks	risk	NOUN
ejpam-5788	796	6	generalized	generalize	VERB
ejpam-5788	796	7	halflogistic	halflogistic	ADJ
ejpam-5788	796	8	lifetime	lifetime	NOUN
ejpam-5788	796	9	populations	population	NOUN
ejpam-5788	796	10	in	in	ADP
ejpam-5788	796	11	presence	presence	NOUN
ejpam-5788	796	12	of	of	ADP
ejpam-5788	796	13	generalized	generalized	ADJ
ejpam-5788	796	14	type	type	NOUN
ejpam-5788	796	15	-	-	PUNCT
ejpam-5788	796	16	i	i	PRON
ejpam-5788	796	17	hybrid	hybrid	ADJ
ejpam-5788	796	18	censoring	censor	VERB
ejpam-5788	796	19	scheme	scheme	NOUN
ejpam-5788	796	20	.	.	PUNCT
ejpam-5788	797	1	alexandria	alexandria	PROPN
ejpam-5788	797	2	engineering	engineering	PROPN
ejpam-5788	797	3	journal	journal	PROPN
ejpam-5788	797	4	,	,	PUNCT
ejpam-5788	797	5	65:699–708	65:699–708	NUM
ejpam-5788	797	6	,	,	PUNCT
ejpam-5788	797	7	2023	2023	NUM
ejpam-5788	797	8	.	.	PUNCT
ejpam-5788	798	1	[	[	X
ejpam-5788	798	2	26	26	NUM
ejpam-5788	798	3	]	]	PUNCT
ejpam-5788	798	4	baria	baria	PROPN
ejpam-5788	798	5	a.	a.	PROPN
ejpam-5788	798	6	helmy	helmy	PROPN
ejpam-5788	798	7	,	,	PUNCT
ejpam-5788	798	8	amal	amal	PROPN
ejpam-5788	798	9	s.	s.	PROPN
ejpam-5788	798	10	hassan	hassan	PROPN
ejpam-5788	798	11	,	,	PUNCT
ejpam-5788	798	12	ahmed	ahmed	PROPN
ejpam-5788	798	13	k.	k.	PROPN
ejpam-5788	799	1	el	el	PROPN
ejpam-5788	799	2	-	-	PROPN
ejpam-5788	799	3	kholy	kholy	PROPN
ejpam-5788	799	4	,	,	PUNCT
ejpam-5788	799	5	rashad	rashad	PROPN
ejpam-5788	799	6	a.	a.	PROPN
ejpam-5788	799	7	r.	r.	PROPN
ejpam-5788	799	8	bantan	bantan	PROPN
ejpam-5788	799	9	,	,	PUNCT
ejpam-5788	799	10	and	and	CCONJ
ejpam-5788	799	11	mohammed	mohammed	PROPN
ejpam-5788	799	12	elgarhy	elgarhy	PROPN
ejpam-5788	799	13	.	.	PUNCT
ejpam-5788	800	1	analysis	analysis	NOUN
ejpam-5788	800	2	of	of	ADP
ejpam-5788	800	3	information	information	NOUN
ejpam-5788	800	4	measures	measure	NOUN
ejpam-5788	800	5	using	use	VERB
ejpam-5788	800	6	generalized	generalized	ADJ
ejpam-5788	800	7	type	type	NOUN
ejpam-5788	800	8	-	-	PUNCT
ejpam-5788	800	9	i	i	PRON
ejpam-5788	800	10	hybrid	hybrid	ADJ
ejpam-5788	800	11	censored	censored	ADJ
ejpam-5788	800	12	data	datum	NOUN
ejpam-5788	800	13	.	.	PUNCT
ejpam-5788	801	1	journal	journal	NOUN
ejpam-5788	801	2	of	of	ADP
ejpam-5788	801	3	statistical	statistical	ADJ
ejpam-5788	801	4	theory	theory	NOUN
ejpam-5788	801	5	and	and	CCONJ
ejpam-5788	801	6	applications	application	NOUN
ejpam-5788	801	7	,	,	PUNCT
ejpam-5788	801	8	21(4):229–249	21(4):229–249	PROPN
ejpam-5788	801	9	,	,	PUNCT
ejpam-5788	801	10	2022	2022	NUM
ejpam-5788	801	11	.	.	PUNCT
ejpam-5788	802	1	[	[	X
ejpam-5788	802	2	27	27	NUM
ejpam-5788	802	3	]	]	X
ejpam-5788	802	4	laila	laila	PROPN
ejpam-5788	802	5	a.	a.	PROPN
ejpam-5788	802	6	al	al	PROPN
ejpam-5788	802	7	-	-	PROPN
ejpam-5788	802	8	essa	essa	PROPN
ejpam-5788	802	9	,	,	PUNCT
ejpam-5788	802	10	ahmed	ahmed	PROPN
ejpam-5788	802	11	a.	a.	PROPN
ejpam-5788	802	12	soliman	soliman	PROPN
ejpam-5788	802	13	,	,	PUNCT
ejpam-5788	802	14	gamal	gamal	PROPN
ejpam-5788	802	15	a.	a.	PROPN
ejpam-5788	802	16	abd	abd	PROPN
ejpam-5788	802	17	-	-	PUNCT
ejpam-5788	802	18	elmougod	elmougod	PROPN
ejpam-5788	802	19	,	,	PUNCT
ejpam-5788	802	20	and	and	CCONJ
ejpam-5788	802	21	huda	huda	PROPN
ejpam-5788	802	22	m.	m.	PROPN
ejpam-5788	802	23	alshanbari	alshanbari	PROPN
ejpam-5788	802	24	.	.	PUNCT
ejpam-5788	803	1	comparative	comparative	ADJ
ejpam-5788	803	2	study	study	NOUN
ejpam-5788	803	3	with	with	ADP
ejpam-5788	803	4	applications	application	NOUN
ejpam-5788	803	5	for	for	ADP
ejpam-5788	803	6	gompertz	gompertz	NOUN
ejpam-5788	803	7	models	model	NOUN
ejpam-5788	803	8	under	under	ADP
ejpam-5788	803	9	competing	compete	VERB
ejpam-5788	803	10	risks	risk	NOUN
ejpam-5788	803	11	and	and	CCONJ
ejpam-5788	803	12	generalized	generalize	VERB
ejpam-5788	803	13	hybrid	hybrid	ADJ
ejpam-5788	803	14	censoring	censor	VERB
ejpam-5788	803	15	schemes	scheme	NOUN
ejpam-5788	803	16	.	.	PUNCT
ejpam-5788	804	1	axioms	axiom	NOUN
ejpam-5788	804	2	,	,	PUNCT
ejpam-5788	804	3	12(10):973	12(10):973	NUM
ejpam-5788	804	4	,	,	PUNCT
ejpam-5788	804	5	2023	2023	NUM
ejpam-5788	804	6	.	.	PUNCT
ejpam-5788	805	1	[	[	X
ejpam-5788	805	2	28	28	NUM
ejpam-5788	805	3	]	]	X
ejpam-5788	805	4	abdalla	abdalla	PROPN
ejpam-5788	805	5	rabie	rabie	PROPN
ejpam-5788	805	6	and	and	CCONJ
ejpam-5788	805	7	junping	junpe	VERB
ejpam-5788	805	8	li	li	PROPN
ejpam-5788	805	9	.	.	PUNCT
ejpam-5788	806	1	e	e	X
ejpam-5788	806	2	-	-	NOUN
ejpam-5788	806	3	bayesian	bayesian	ADJ
ejpam-5788	806	4	estimation	estimation	NOUN
ejpam-5788	806	5	for	for	ADP
ejpam-5788	806	6	burr	burr	NOUN
ejpam-5788	806	7	-	-	PUNCT
ejpam-5788	806	8	x	x	NOUN
ejpam-5788	806	9	distribution	distribution	NOUN
ejpam-5788	806	10	based	base	VERB
ejpam-5788	806	11	on	on	ADP
ejpam-5788	806	12	generalized	generalized	ADJ
ejpam-5788	806	13	type	type	NOUN
ejpam-5788	806	14	-	-	PUNCT
ejpam-5788	806	15	i	i	PRON
ejpam-5788	806	16	hybrid	hybrid	ADJ
ejpam-5788	806	17	censoring	censor	VERB
ejpam-5788	806	18	scheme	scheme	NOUN
ejpam-5788	806	19	.	.	PUNCT
ejpam-5788	807	1	american	american	ADJ
ejpam-5788	807	2	journal	journal	PROPN
ejpam-5788	807	3	of	of	ADP
ejpam-5788	807	4	mathematical	mathematical	ADJ
ejpam-5788	807	5	and	and	CCONJ
ejpam-5788	807	6	management	management	NOUN
ejpam-5788	807	7	sciences	science	NOUN
ejpam-5788	807	8	,	,	PUNCT
ejpam-5788	807	9	39(1):41–55	39(1):41–55	NUM
ejpam-5788	807	10	,	,	PUNCT
ejpam-5788	807	11	2020	2020	NUM
ejpam-5788	807	12	.	.	PUNCT
ejpam-5788	808	1	[	[	X
ejpam-5788	808	2	29	29	NUM
ejpam-5788	808	3	]	]	X
ejpam-5788	808	4	ahmed	ahmed	PROPN
ejpam-5788	808	5	a.	a.	PROPN
ejpam-5788	808	6	soliman	soliman	PROPN
ejpam-5788	808	7	,	,	PUNCT
ejpam-5788	808	8	gamal	gamal	PROPN
ejpam-5788	808	9	a.	a.	PROPN
ejpam-5788	808	10	abd	abd	PROPN
ejpam-5788	808	11	-	-	PUNCT
ejpam-5788	808	12	elmougod	elmougod	PROPN
ejpam-5788	808	13	,	,	PUNCT
ejpam-5788	808	14	alwageh	alwageh	NOUN
ejpam-5788	808	15	ahmed	ahmed	PROPN
ejpam-5788	808	16	,	,	PUNCT
ejpam-5788	808	17	and	and	CCONJ
ejpam-5788	808	18	osama	osama	PROPN
ejpam-5788	808	19	mohamed	mohamed	PROPN
ejpam-5788	808	20	taha	taha	PROPN
ejpam-5788	808	21	.	.	PUNCT
ejpam-5788	808	22	statistical	statistical	ADJ
ejpam-5788	808	23	inference	inference	NOUN
ejpam-5788	808	24	of	of	ADP
ejpam-5788	808	25	a	a	DET
ejpam-5788	808	26	new	new	ADJ
ejpam-5788	808	27	pareto	pareto	VERB
ejpam-5788	808	28	-	-	PUNCT
ejpam-5788	808	29	type	type	NOUN
ejpam-5788	808	30	model	model	NOUN
ejpam-5788	808	31	under	under	ADP
ejpam-5788	808	32	generalized	generalize	VERB
ejpam-5788	808	33	hybrid	hybrid	ADJ
ejpam-5788	808	34	type	type	NOUN
ejpam-5788	808	35	-	-	PUNCT
ejpam-5788	808	36	i	i	PRON
ejpam-5788	808	37	censored	censor	VERB
ejpam-5788	808	38	samples	sample	NOUN
ejpam-5788	808	39	.	.	PUNCT
ejpam-5788	809	1	sohag	sohag	NOUN
ejpam-5788	809	2	journal	journal	PROPN
ejpam-5788	809	3	of	of	ADP
ejpam-5788	809	4	sciences	science	NOUN
ejpam-5788	809	5	,	,	PUNCT
ejpam-5788	809	6	10(1):10–23	10(1):10–23	NUM
ejpam-5788	809	7	,	,	PUNCT
ejpam-5788	809	8	2025	2025	NUM
ejpam-5788	809	9	.	.	PUNCT
ejpam-5788	810	1	[	[	X
ejpam-5788	810	2	30	30	NUM
ejpam-5788	810	3	]	]	X
ejpam-5788	810	4	arthur	arthur	PROPN
ejpam-5788	810	5	p.	p.	PROPN
ejpam-5788	810	6	dempster	dempster	PROPN
ejpam-5788	810	7	,	,	PUNCT
ejpam-5788	810	8	nan	nan	PROPN
ejpam-5788	810	9	m.	m.	PROPN
ejpam-5788	810	10	laird	laird	PROPN
ejpam-5788	810	11	,	,	PUNCT
ejpam-5788	810	12	and	and	CCONJ
ejpam-5788	810	13	donald	donald	PROPN
ejpam-5788	810	14	b.	b.	PROPN
ejpam-5788	810	15	rubin	rubin	PROPN
ejpam-5788	810	16	.	.	PUNCT
ejpam-5788	811	1	maximum	maximum	ADJ
ejpam-5788	811	2	likelihood	likelihood	NOUN
ejpam-5788	811	3	from	from	ADP
ejpam-5788	811	4	incomplete	incomplete	ADJ
ejpam-5788	811	5	data	datum	NOUN
ejpam-5788	811	6	via	via	ADP
ejpam-5788	811	7	the	the	DET
ejpam-5788	811	8	em	em	PROPN
ejpam-5788	811	9	algorithm	algorithm	NOUN
ejpam-5788	811	10	.	.	PUNCT
ejpam-5788	812	1	journal	journal	NOUN
ejpam-5788	812	2	of	of	ADP
ejpam-5788	812	3	the	the	DET
ejpam-5788	812	4	royal	royal	ADJ
ejpam-5788	812	5	statistical	statistical	ADJ
ejpam-5788	812	6	society	society	NOUN
ejpam-5788	812	7	:	:	PUNCT
ejpam-5788	812	8	series	series	PROPN
ejpam-5788	812	9	b	b	PROPN
ejpam-5788	812	10	(	(	PUNCT
ejpam-5788	812	11	methodological	methodological	ADJ
ejpam-5788	812	12	)	)	PUNCT
ejpam-5788	812	13	,	,	PUNCT
ejpam-5788	812	14	39(1):1–22	39(1):1–22	NUM
ejpam-5788	812	15	,	,	PUNCT
ejpam-5788	812	16	1977	1977	NUM
ejpam-5788	812	17	.	.	PUNCT
ejpam-5788	813	1	[	[	X
ejpam-5788	813	2	31	31	NUM
ejpam-5788	813	3	]	]	PUNCT
ejpam-5788	813	4	geoffrey	geoffrey	PROPN
ejpam-5788	813	5	j.	j.	PROPN
ejpam-5788	813	6	mclachlan	mclachlan	PROPN
ejpam-5788	813	7	and	and	CCONJ
ejpam-5788	813	8	thriyambakam	thriyambakam	PROPN
ejpam-5788	813	9	krishnan	krishnan	PROPN
ejpam-5788	813	10	.	.	PUNCT
ejpam-5788	814	1	the	the	DET
ejpam-5788	814	2	em	em	PROPN
ejpam-5788	814	3	algorithm	algorithm	NOUN
ejpam-5788	814	4	and	and	CCONJ
ejpam-5788	814	5	extensions	extension	NOUN
ejpam-5788	814	6	.	.	PUNCT
ejpam-5788	815	1	john	john	PROPN
ejpam-5788	815	2	wiley	wiley	PROPN
ejpam-5788	815	3	&	&	CCONJ
ejpam-5788	815	4	sons	sons	PROPN
ejpam-5788	815	5	,	,	PUNCT
ejpam-5788	815	6	hoboken	hoboken	PROPN
ejpam-5788	815	7	,	,	PUNCT
ejpam-5788	815	8	nj	nj	PROPN
ejpam-5788	815	9	,	,	PUNCT
ejpam-5788	815	10	2007	2007	NUM
ejpam-5788	815	11	.	.	PUNCT
ejpam-5788	816	1	[	[	X
ejpam-5788	816	2	32	32	NUM
ejpam-5788	816	3	]	]	PUNCT
ejpam-5788	816	4	richard	richard	PROPN
ejpam-5788	816	5	a.	a.	PROPN
ejpam-5788	816	6	askey	askey	PROPN
ejpam-5788	816	7	and	and	CCONJ
ejpam-5788	816	8	adri	adri	PROPN
ejpam-5788	816	9	b.	b.	PROPN
ejpam-5788	816	10	olde	olde	PROPN
ejpam-5788	816	11	daalhuis	daalhuis	PROPN
ejpam-5788	816	12	.	.	PUNCT
ejpam-5788	816	13	generalized	generalize	VERB
ejpam-5788	816	14	hypergeometric	hypergeometric	ADJ
ejpam-5788	816	15	funca	funca	NOUN
ejpam-5788	816	16	.	.	PUNCT
ejpam-5788	817	1	a.	a.	PROPN
ejpam-5788	817	2	soliman	soliman	PROPN
ejpam-5788	817	3	et	et	PROPN
ejpam-5788	817	4	al	al	PROPN
ejpam-5788	817	5	.	.	PUNCT
ejpam-5788	817	6	/	/	SYM
ejpam-5788	817	7	eur	eur	PROPN
ejpam-5788	817	8	.	.	PUNCT
ejpam-5788	818	1	j.	j.	PROPN
ejpam-5788	818	2	pure	pure	PROPN
ejpam-5788	818	3	appl	appl	PROPN
ejpam-5788	818	4	.	.	PROPN
ejpam-5788	818	5	math	math	PROPN
ejpam-5788	818	6	,	,	PUNCT
ejpam-5788	818	7	18	18	NUM
ejpam-5788	818	8	(	(	PUNCT
ejpam-5788	818	9	2	2	NUM
ejpam-5788	818	10	)	)	PUNCT
ejpam-5788	818	11	(	(	PUNCT
ejpam-5788	818	12	2025	2025	NUM
ejpam-5788	818	13	)	)	PUNCT
ejpam-5788	818	14	,	,	PUNCT
ejpam-5788	818	15	5788	5788	NUM
ejpam-5788	818	16	34	34	NUM
ejpam-5788	818	17	of	of	ADP
ejpam-5788	818	18	34	34	NUM
ejpam-5788	818	19	tions	tion	NOUN
ejpam-5788	818	20	and	and	CCONJ
ejpam-5788	818	21	meijer	meijer	NOUN
ejpam-5788	818	22	g	g	NOUN
ejpam-5788	818	23	-	-	PUNCT
ejpam-5788	818	24	function	function	NOUN
ejpam-5788	818	25	.	.	PUNCT
ejpam-5788	819	1	nist	nist	PROPN
ejpam-5788	819	2	digital	digital	PROPN
ejpam-5788	819	3	library	library	NOUN
ejpam-5788	819	4	of	of	ADP
ejpam-5788	819	5	mathematical	mathematical	ADJ
ejpam-5788	819	6	functions	function	NOUN
ejpam-5788	819	7	,	,	PUNCT
ejpam-5788	819	8	2010	2010	NUM
ejpam-5788	819	9	.	.	PUNCT
ejpam-5788	820	1	available	available	ADJ
ejpam-5788	820	2	at	at	ADP
ejpam-5788	820	3	https://dlmf.nist.gov	https://dlmf.nist.gov	PROPN
ejpam-5788	820	4	.	.	PUNCT
ejpam-5788	821	1	[	[	X
ejpam-5788	821	2	33	33	NUM
ejpam-5788	821	3	]	]	PUNCT
ejpam-5788	821	4	debasis	debasis	NOUN
ejpam-5788	821	5	kundu	kundu	NOUN
ejpam-5788	821	6	and	and	CCONJ
ejpam-5788	821	7	biswabrata	biswabrata	NOUN
ejpam-5788	821	8	pradhan	pradhan	NOUN
ejpam-5788	821	9	.	.	PUNCT
ejpam-5788	822	1	estimating	estimate	VERB
ejpam-5788	822	2	the	the	DET
ejpam-5788	822	3	parameters	parameter	NOUN
ejpam-5788	822	4	of	of	ADP
ejpam-5788	822	5	the	the	DET
ejpam-5788	822	6	generalized	generalize	VERB
ejpam-5788	822	7	exponential	exponential	ADJ
ejpam-5788	822	8	distribution	distribution	NOUN
ejpam-5788	822	9	in	in	ADP
ejpam-5788	822	10	presence	presence	NOUN
ejpam-5788	822	11	of	of	ADP
ejpam-5788	822	12	hybrid	hybrid	ADJ
ejpam-5788	822	13	censoring	censoring	NOUN
ejpam-5788	822	14	.	.	PUNCT
ejpam-5788	823	1	communications	communication	NOUN
ejpam-5788	823	2	in	in	ADP
ejpam-5788	823	3	statistics	statistic	NOUN
ejpam-5788	823	4	—	—	PUNCT
ejpam-5788	823	5	theory	theory	NOUN
ejpam-5788	823	6	and	and	CCONJ
ejpam-5788	823	7	methods	method	NOUN
ejpam-5788	823	8	,	,	PUNCT
ejpam-5788	823	9	38(12):2030–2041	38(12):2030–2041	NUM
ejpam-5788	823	10	,	,	PUNCT
ejpam-5788	823	11	2009	2009	NUM
ejpam-5788	823	12	.	.	PUNCT
ejpam-5788	824	1	[	[	X
ejpam-5788	824	2	34	34	NUM
ejpam-5788	824	3	]	]	X
ejpam-5788	824	4	thaung	thaung	PROPN
ejpam-5788	824	5	lwin	lwin	PROPN
ejpam-5788	824	6	.	.	PUNCT
ejpam-5788	825	1	estimation	estimation	NOUN
ejpam-5788	825	2	of	of	ADP
ejpam-5788	825	3	the	the	DET
ejpam-5788	825	4	tail	tail	NOUN
ejpam-5788	825	5	of	of	ADP
ejpam-5788	825	6	the	the	DET
ejpam-5788	825	7	paretian	paretian	ADJ
ejpam-5788	825	8	law	law	NOUN
ejpam-5788	825	9	.	.	PUNCT
ejpam-5788	826	1	scandinavian	scandinavian	ADJ
ejpam-5788	826	2	actuarial	actuarial	ADJ
ejpam-5788	826	3	journal	journal	NOUN
ejpam-5788	826	4	,	,	PUNCT
ejpam-5788	826	5	1972(2):170–178	1972(2):170–178	NUM
ejpam-5788	826	6	,	,	PUNCT
ejpam-5788	826	7	1972	1972	NUM
ejpam-5788	826	8	.	.	PUNCT
ejpam-5788	827	1	[	[	X
ejpam-5788	827	2	35	35	NUM
ejpam-5788	827	3	]	]	SYM
ejpam-5788	827	4	barry	barry	PROPN
ejpam-5788	827	5	c.	c.	PROPN
ejpam-5788	827	6	arnold	arnold	PROPN
ejpam-5788	827	7	and	and	CCONJ
ejpam-5788	827	8	s.	s.	PROPN
ejpam-5788	827	9	james	james	PROPN
ejpam-5788	827	10	press	press	PROPN
ejpam-5788	827	11	.	.	PUNCT
ejpam-5788	828	1	bayesian	bayesian	NOUN
ejpam-5788	828	2	estimation	estimation	NOUN
ejpam-5788	828	3	and	and	CCONJ
ejpam-5788	828	4	prediction	prediction	NOUN
ejpam-5788	828	5	for	for	ADP
ejpam-5788	828	6	pareto	pareto	ADJ
ejpam-5788	828	7	data	datum	NOUN
ejpam-5788	828	8	.	.	PUNCT
ejpam-5788	829	1	journal	journal	NOUN
ejpam-5788	829	2	of	of	ADP
ejpam-5788	829	3	the	the	DET
ejpam-5788	829	4	american	american	PROPN
ejpam-5788	829	5	statistical	statistical	PROPN
ejpam-5788	829	6	association	association	PROPN
ejpam-5788	829	7	,	,	PUNCT
ejpam-5788	829	8	84(408):1079–1084	84(408):1079–1084	PROPN
ejpam-5788	829	9	,	,	PUNCT
ejpam-5788	829	10	1989	1989	NUM
ejpam-5788	829	11	.	.	PUNCT
ejpam-5788	830	1	[	[	X
ejpam-5788	830	2	36	36	NUM
ejpam-5788	830	3	]	]	X
ejpam-5788	830	4	andrew	andrew	PROPN
ejpam-5788	830	5	gelman	gelman	PROPN
ejpam-5788	830	6	,	,	PUNCT
ejpam-5788	830	7	john	john	PROPN
ejpam-5788	830	8	b.	b.	PROPN
ejpam-5788	830	9	carlin	carlin	PROPN
ejpam-5788	830	10	,	,	PUNCT
ejpam-5788	830	11	hal	hal	PROPN
ejpam-5788	830	12	s.	s.	PROPN
ejpam-5788	830	13	stern	stern	PROPN
ejpam-5788	830	14	,	,	PUNCT
ejpam-5788	830	15	and	and	CCONJ
ejpam-5788	830	16	donald	donald	PROPN
ejpam-5788	830	17	b.	b.	PROPN
ejpam-5788	830	18	rubin	rubin	PROPN
ejpam-5788	830	19	.	.	PUNCT
ejpam-5788	831	1	bayesian	bayesian	NOUN
ejpam-5788	831	2	data	datum	NOUN
ejpam-5788	831	3	analysis	analysis	NOUN
ejpam-5788	831	4	.	.	PUNCT
ejpam-5788	832	1	chapman	chapman	NOUN
ejpam-5788	832	2	and	and	CCONJ
ejpam-5788	832	3	hall	hall	PROPN
ejpam-5788	832	4	/	/	SYM
ejpam-5788	832	5	crc	crc	PROPN
ejpam-5788	832	6	,	,	PUNCT
ejpam-5788	832	7	boca	boca	PROPN
ejpam-5788	832	8	raton	raton	PROPN
ejpam-5788	832	9	,	,	PUNCT
ejpam-5788	832	10	fl	fl	PROPN
ejpam-5788	832	11	,	,	PUNCT
ejpam-5788	832	12	1995	1995	NUM
ejpam-5788	832	13	.	.	PUNCT
ejpam-5788	833	1	[	[	X
ejpam-5788	833	2	37	37	NUM
ejpam-5788	833	3	]	]	X
ejpam-5788	833	4	w.	w.	PROPN
ejpam-5788	833	5	keith	keith	PROPN
ejpam-5788	833	6	hastings	hastings	PROPN
ejpam-5788	833	7	.	.	PUNCT
ejpam-5788	834	1	monte	monte	PROPN
ejpam-5788	834	2	carlo	carlo	PROPN
ejpam-5788	834	3	sampling	sample	VERB
ejpam-5788	834	4	methods	method	NOUN
ejpam-5788	834	5	using	use	VERB
ejpam-5788	834	6	markov	markov	NOUN
ejpam-5788	834	7	chains	chain	NOUN
ejpam-5788	834	8	and	and	CCONJ
ejpam-5788	834	9	their	their	PRON
ejpam-5788	834	10	applications	application	NOUN
ejpam-5788	834	11	.	.	PUNCT
ejpam-5788	834	12	biometrika	biometrika	NOUN
ejpam-5788	834	13	,	,	PUNCT
ejpam-5788	834	14	57(1):97–109	57(1):97–109	NUM
ejpam-5788	834	15	,	,	PUNCT
ejpam-5788	834	16	1970	1970	NUM
ejpam-5788	834	17	.	.	PUNCT
ejpam-5788	835	1	[	[	X
ejpam-5788	835	2	38	38	NUM
ejpam-5788	835	3	]	]	X
ejpam-5788	835	4	nicholas	nicholas	PROPN
ejpam-5788	835	5	metropolis	metropolis	PROPN
ejpam-5788	835	6	and	and	CCONJ
ejpam-5788	835	7	stanislaw	stanislaw	PROPN
ejpam-5788	835	8	ulam	ulam	PROPN
ejpam-5788	835	9	.	.	PUNCT
ejpam-5788	836	1	the	the	DET
ejpam-5788	836	2	monte	monte	PROPN
ejpam-5788	836	3	carlo	carlo	PROPN
ejpam-5788	836	4	method	method	PROPN
ejpam-5788	836	5	.	.	PUNCT
ejpam-5788	837	1	journal	journal	NOUN
ejpam-5788	837	2	of	of	ADP
ejpam-5788	837	3	the	the	DET
ejpam-5788	837	4	american	american	PROPN
ejpam-5788	837	5	statistical	statistical	PROPN
ejpam-5788	837	6	association	association	PROPN
ejpam-5788	837	7	,	,	PUNCT
ejpam-5788	837	8	44(247):335–341	44(247):335–341	PROPN
ejpam-5788	837	9	,	,	PUNCT
ejpam-5788	837	10	1949	1949	NUM
ejpam-5788	837	11	.	.	PUNCT
ejpam-5788	838	1	[	[	X
ejpam-5788	838	2	39	39	NUM
ejpam-5788	838	3	]	]	PUNCT
ejpam-5788	838	4	michael	michael	PROPN
ejpam-5788	838	5	r.	r.	PROPN
ejpam-5788	838	6	chernick	chernick	PROPN
ejpam-5788	838	7	.	.	PUNCT
ejpam-5788	839	1	bootstrap	bootstrap	NOUN
ejpam-5788	839	2	methods	method	NOUN
ejpam-5788	839	3	:	:	PUNCT
ejpam-5788	839	4	a	a	DET
ejpam-5788	839	5	practitioner	practitioner	NOUN
ejpam-5788	839	6	’s	’s	PART
ejpam-5788	839	7	guide	guide	NOUN
ejpam-5788	839	8	.	.	PUNCT
ejpam-5788	840	1	wiley	wiley	PROPN
ejpam-5788	840	2	,	,	PUNCT
ejpam-5788	840	3	new	new	PROPN
ejpam-5788	840	4	york	york	PROPN
ejpam-5788	840	5	,	,	PUNCT
ejpam-5788	840	6	1999	1999	NUM
ejpam-5788	840	7	.	.	PUNCT
ejpam-5788	841	1	[	[	X
ejpam-5788	841	2	40	40	NUM
ejpam-5788	841	3	]	]	X
ejpam-5788	841	4	yunus	yunus	PROPN
ejpam-5788	841	5	akdoğan	akdoğan	PROPN
ejpam-5788	841	6	.	.	PUNCT
ejpam-5788	842	1	on	on	ADP
ejpam-5788	842	2	the	the	DET
ejpam-5788	842	3	confidence	confidence	NOUN
ejpam-5788	842	4	intervals	interval	NOUN
ejpam-5788	842	5	of	of	ADP
ejpam-5788	842	6	process	process	NOUN
ejpam-5788	842	7	capability	capability	NOUN
ejpam-5788	842	8	index	index	NOUN
ejpam-5788	842	9	cpm	cpm	PROPN
ejpam-5788	842	10	based	base	VERB
ejpam-5788	842	11	on	on	ADP
ejpam-5788	842	12	a	a	DET
ejpam-5788	842	13	progressive	progressive	ADJ
ejpam-5788	842	14	type	type	NOUN
ejpam-5788	842	15	-	-	PUNCT
ejpam-5788	842	16	ii	ii	NOUN
ejpam-5788	842	17	censored	censor	VERB
ejpam-5788	842	18	sample	sample	NOUN
ejpam-5788	842	19	.	.	PUNCT
ejpam-5788	843	1	quality	quality	NOUN
ejpam-5788	843	2	and	and	CCONJ
ejpam-5788	843	3	reliability	reliability	NOUN
ejpam-5788	843	4	engineering	engineering	NOUN
ejpam-5788	843	5	international	international	PROPN
ejpam-5788	843	6	,	,	PUNCT
ejpam-5788	843	7	38(5):2845–2861	38(5):2845–2861	NUM
ejpam-5788	843	8	,	,	PUNCT
ejpam-5788	843	9	2022	2022	NUM
ejpam-5788	843	10	.	.	PUNCT
ejpam-5788	844	1	[	[	X
ejpam-5788	844	2	41	41	NUM
ejpam-5788	844	3	]	]	PUNCT
ejpam-5788	844	4	arne	arne	ADJ
ejpam-5788	844	5	henningsen	henningsen	PROPN
ejpam-5788	844	6	and	and	CCONJ
ejpam-5788	844	7	ott	ott	PROPN
ejpam-5788	844	8	toomet	toomet	PROPN
ejpam-5788	844	9	.	.	PUNCT
ejpam-5788	845	1	maxlik	maxlik	PROPN
ejpam-5788	845	2	:	:	PUNCT
ejpam-5788	845	3	a	a	DET
ejpam-5788	845	4	package	package	NOUN
ejpam-5788	845	5	for	for	ADP
ejpam-5788	845	6	maximum	maximum	ADJ
ejpam-5788	845	7	likelihood	likelihood	NOUN
ejpam-5788	845	8	estimation	estimation	NOUN
ejpam-5788	845	9	in	in	ADP
ejpam-5788	845	10	r.	r.	PROPN
ejpam-5788	845	11	computational	computational	ADJ
ejpam-5788	845	12	statistics	statistic	NOUN
ejpam-5788	845	13	,	,	PUNCT
ejpam-5788	845	14	26(3):443–458	26(3):443–458	NUM
ejpam-5788	845	15	,	,	PUNCT
ejpam-5788	845	16	2011	2011	NUM
ejpam-5788	845	17	.	.	PUNCT
ejpam-5788	846	1	[	[	X
ejpam-5788	846	2	42	42	NUM
ejpam-5788	846	3	]	]	X
ejpam-5788	846	4	martyn	martyn	PROPN
ejpam-5788	846	5	plummer	plummer	PROPN
ejpam-5788	846	6	,	,	PUNCT
ejpam-5788	846	7	nicky	nicky	PROPN
ejpam-5788	846	8	best	good	ADJ
ejpam-5788	846	9	,	,	PUNCT
ejpam-5788	846	10	kate	kate	PROPN
ejpam-5788	846	11	cowles	cowles	PROPN
ejpam-5788	846	12	,	,	PUNCT
ejpam-5788	846	13	karen	karen	PROPN
ejpam-5788	846	14	vines	vines	PROPN
ejpam-5788	846	15	,	,	PUNCT
ejpam-5788	846	16	et	et	PROPN
ejpam-5788	846	17	al	al	PROPN
ejpam-5788	846	18	.	.	PUNCT
ejpam-5788	846	19	coda	coda	PROPN
ejpam-5788	846	20	:	:	PUNCT
ejpam-5788	846	21	convergence	convergence	NOUN
ejpam-5788	846	22	diagnosis	diagnosis	NOUN
ejpam-5788	846	23	and	and	CCONJ
ejpam-5788	846	24	output	output	NOUN
ejpam-5788	846	25	analysis	analysis	NOUN
ejpam-5788	846	26	for	for	ADP
ejpam-5788	846	27	mcmc	mcmc	PROPN
ejpam-5788	846	28	.	.	PUNCT
ejpam-5788	847	1	r	r	NOUN
ejpam-5788	847	2	news	news	NOUN
ejpam-5788	847	3	,	,	PUNCT
ejpam-5788	847	4	6(1):7–11	6(1):7–11	PROPN
ejpam-5788	847	5	,	,	PUNCT
ejpam-5788	847	6	2006	2006	NUM
ejpam-5788	847	7	.	.	PUNCT
ejpam-5788	848	1	[	[	X
ejpam-5788	848	2	43	43	NUM
ejpam-5788	848	3	]	]	X
ejpam-5788	848	4	wayne	wayne	PROPN
ejpam-5788	848	5	b.	b.	PROPN
ejpam-5788	848	6	nelson	nelson	PROPN
ejpam-5788	848	7	.	.	PROPN
ejpam-5788	849	1	accelerated	accelerate	VERB
ejpam-5788	849	2	testing	testing	NOUN
ejpam-5788	849	3	:	:	PUNCT
ejpam-5788	849	4	statistical	statistical	ADJ
ejpam-5788	849	5	models	model	NOUN
ejpam-5788	849	6	,	,	PUNCT
ejpam-5788	849	7	test	test	NOUN
ejpam-5788	849	8	plans	plan	NOUN
ejpam-5788	849	9	,	,	PUNCT
ejpam-5788	849	10	and	and	CCONJ
ejpam-5788	849	11	data	datum	NOUN
ejpam-5788	849	12	analysis	analysis	NOUN
ejpam-5788	849	13	.	.	PUNCT
ejpam-5788	850	1	john	john	PROPN
ejpam-5788	850	2	wiley	wiley	PROPN
ejpam-5788	850	3	&	&	CCONJ
ejpam-5788	850	4	sons	sons	PROPN
ejpam-5788	850	5	,	,	PUNCT
ejpam-5788	850	6	hoboken	hoboken	PROPN
ejpam-5788	850	7	,	,	PUNCT
ejpam-5788	850	8	nj	nj	PROPN
ejpam-5788	850	9	,	,	PUNCT
ejpam-5788	850	10	2009	2009	NUM
ejpam-5788	850	11	.	.	PUNCT