id	sid	tid	token	lemma	pos
ejpam-6681	1	1	european	european	PROPN
ejpam-6681	1	2	journal	journal	PROPN
ejpam-6681	1	3	of	of	ADP
ejpam-6681	1	4	pure	pure	ADJ
ejpam-6681	1	5	and	and	CCONJ
ejpam-6681	1	6	applied	applied	ADJ
ejpam-6681	1	7	mathematics	mathematic	NOUN
ejpam-6681	1	8	2025	2025	NUM
ejpam-6681	1	9	,	,	PUNCT
ejpam-6681	1	10	vol	vol	NOUN
ejpam-6681	1	11	.	.	PROPN
ejpam-6681	1	12	18	18	NUM
ejpam-6681	1	13	,	,	PUNCT
ejpam-6681	1	14	issue	issue	NOUN
ejpam-6681	1	15	4	4	NUM
ejpam-6681	1	16	,	,	PUNCT
ejpam-6681	1	17	article	article	NOUN
ejpam-6681	1	18	number	number	NOUN
ejpam-6681	1	19	6681	6681	NUM
ejpam-6681	1	20	issn	issn	PROPN
ejpam-6681	1	21	1307	1307	NUM
ejpam-6681	1	22	-	-	SYM
ejpam-6681	1	23	5543	5543	NUM
ejpam-6681	1	24	–	–	PUNCT
ejpam-6681	1	25	ejpam.com	ejpam.com	X
ejpam-6681	1	26	published	publish	VERB
ejpam-6681	1	27	by	by	ADP
ejpam-6681	1	28	new	new	PROPN
ejpam-6681	1	29	york	york	PROPN
ejpam-6681	1	30	business	business	PROPN
ejpam-6681	1	31	global	global	ADJ
ejpam-6681	1	32	statistical	statistical	ADJ
ejpam-6681	1	33	inference	inference	NOUN
ejpam-6681	1	34	for	for	ADP
ejpam-6681	1	35	the	the	DET
ejpam-6681	1	36	epanechnikov	epanechnikov	PROPN
ejpam-6681	1	37	-	-	PUNCT
ejpam-6681	1	38	burr	burr	PROPN
ejpam-6681	1	39	xii	xii	NOUN
ejpam-6681	1	40	distribution	distribution	NOUN
ejpam-6681	1	41	with	with	ADP
ejpam-6681	1	42	simulation	simulation	NOUN
ejpam-6681	1	43	and	and	CCONJ
ejpam-6681	1	44	case	case	NOUN
ejpam-6681	1	45	studies	study	NOUN
ejpam-6681	1	46	naser	naser	PROPN
ejpam-6681	1	47	odat1,∗	odat1,∗	PROPN
ejpam-6681	1	48	,	,	PUNCT
ejpam-6681	1	49	ayman	ayman	PROPN
ejpam-6681	1	50	hazaymeh1	hazaymeh1	PROPN
ejpam-6681	1	51	,	,	PUNCT
ejpam-6681	1	52	anwar	anwar	PROPN
ejpam-6681	1	53	bataihah1	bataihah1	PROPN
ejpam-6681	1	54	,	,	PUNCT
ejpam-6681	1	55	raed	raed	PROPN
ejpam-6681	1	56	hatamleh1	hatamleh1	PROPN
ejpam-6681	1	57	,	,	PUNCT
ejpam-6681	1	58	majdoleen	majdoleen	PROPN
ejpam-6681	1	59	abuqamar1	abuqamar1	PROPN
ejpam-6681	1	60	,	,	PUNCT
ejpam-6681	1	61	alaa	alaa	PROPN
ejpam-6681	1	62	melhem1	melhem1	PROPN
ejpam-6681	2	1	1	1	NUM
ejpam-6681	2	2	department	department	NOUN
ejpam-6681	2	3	of	of	ADP
ejpam-6681	2	4	mathematics	mathematic	NOUN
ejpam-6681	2	5	,	,	PUNCT
ejpam-6681	2	6	faculty	faculty	NOUN
ejpam-6681	2	7	of	of	ADP
ejpam-6681	2	8	science	science	NOUN
ejpam-6681	2	9	,	,	PUNCT
ejpam-6681	2	10	jadara	jadara	PROPN
ejpam-6681	2	11	university	university	PROPN
ejpam-6681	2	12	,	,	PUNCT
ejpam-6681	2	13	irbid	irbid	PROPN
ejpam-6681	2	14	,	,	PUNCT
ejpam-6681	2	15	jordan	jordan	PROPN
ejpam-6681	2	16	abstract	abstract	PROPN
ejpam-6681	2	17	.	.	PUNCT
ejpam-6681	3	1	in	in	ADP
ejpam-6681	3	2	this	this	DET
ejpam-6681	3	3	article	article	NOUN
ejpam-6681	3	4	,	,	PUNCT
ejpam-6681	3	5	the	the	DET
ejpam-6681	3	6	epanechnikov	epanechnikov	PROPN
ejpam-6681	3	7	kernel	kernel	PROPN
ejpam-6681	3	8	function	function	PROPN
ejpam-6681	3	9	and	and	CCONJ
ejpam-6681	3	10	the	the	DET
ejpam-6681	3	11	burr	burr	NOUN
ejpam-6681	3	12	-	-	PUNCT
ejpam-6681	3	13	xii	xii	NOUN
ejpam-6681	3	14	distribution	distribution	NOUN
ejpam-6681	3	15	are	be	AUX
ejpam-6681	3	16	combined	combine	VERB
ejpam-6681	3	17	to	to	PART
ejpam-6681	3	18	create	create	VERB
ejpam-6681	3	19	the	the	DET
ejpam-6681	3	20	epanechnikov	epanechnikov	NOUN
ejpam-6681	3	21	-	-	PUNCT
ejpam-6681	3	22	burr	burr	NOUN
ejpam-6681	3	23	-	-	PUNCT
ejpam-6681	3	24	xii	xii	NOUN
ejpam-6681	3	25	distribution	distribution	NOUN
ejpam-6681	3	26	(	(	PUNCT
ejpam-6681	3	27	ebd	ebd	PROPN
ejpam-6681	3	28	)	)	PUNCT
ejpam-6681	3	29	.	.	PUNCT
ejpam-6681	4	1	the	the	DET
ejpam-6681	4	2	mathematical	mathematical	ADJ
ejpam-6681	4	3	characteristics	characteristic	NOUN
ejpam-6681	4	4	of	of	ADP
ejpam-6681	4	5	this	this	DET
ejpam-6681	4	6	novel	novel	ADJ
ejpam-6681	4	7	distribution	distribution	NOUN
ejpam-6681	4	8	,	,	PUNCT
ejpam-6681	4	9	such	such	ADJ
ejpam-6681	4	10	as	as	ADP
ejpam-6681	4	11	moments	moment	NOUN
ejpam-6681	4	12	,	,	PUNCT
ejpam-6681	4	13	moment	moment	NOUN
ejpam-6681	4	14	generating	generate	VERB
ejpam-6681	4	15	function	function	NOUN
ejpam-6681	4	16	,	,	PUNCT
ejpam-6681	4	17	reliability	reliability	NOUN
ejpam-6681	4	18	analysis	analysis	NOUN
ejpam-6681	4	19	functions	function	NOUN
ejpam-6681	4	20	,	,	PUNCT
ejpam-6681	4	21	and	and	CCONJ
ejpam-6681	4	22	order	order	NOUN
ejpam-6681	4	23	statistics	statistic	NOUN
ejpam-6681	4	24	,	,	PUNCT
ejpam-6681	4	25	are	be	AUX
ejpam-6681	4	26	investigated	investigate	VERB
ejpam-6681	4	27	.	.	PUNCT
ejpam-6681	5	1	the	the	DET
ejpam-6681	5	2	maximum	maximum	ADJ
ejpam-6681	5	3	likelihood	likelihood	NOUN
ejpam-6681	5	4	estimation	estimation	NOUN
ejpam-6681	5	5	(	(	PUNCT
ejpam-6681	5	6	mle	mle	PROPN
ejpam-6681	5	7	)	)	PUNCT
ejpam-6681	5	8	approach	approach	NOUN
ejpam-6681	5	9	is	be	AUX
ejpam-6681	5	10	used	use	VERB
ejpam-6681	5	11	to	to	PART
ejpam-6681	5	12	estimate	estimate	VERB
ejpam-6681	5	13	the	the	DET
ejpam-6681	5	14	ebd	ebd	PROPN
ejpam-6681	5	15	’s	’s	PART
ejpam-6681	5	16	parameters	parameter	NOUN
ejpam-6681	5	17	.	.	PUNCT
ejpam-6681	6	1	the	the	DET
ejpam-6681	6	2	consistency	consistency	NOUN
ejpam-6681	6	3	of	of	ADP
ejpam-6681	6	4	the	the	DET
ejpam-6681	6	5	mle	mle	PROPN
ejpam-6681	6	6	estimators	estimator	NOUN
ejpam-6681	6	7	is	be	AUX
ejpam-6681	6	8	demonstrated	demonstrate	VERB
ejpam-6681	6	9	by	by	ADP
ejpam-6681	6	10	a	a	DET
ejpam-6681	6	11	simulation	simulation	NOUN
ejpam-6681	6	12	analysis	analysis	NOUN
ejpam-6681	6	13	,	,	PUNCT
ejpam-6681	6	14	and	and	CCONJ
ejpam-6681	6	15	real	real	ADJ
ejpam-6681	6	16	-	-	PUNCT
ejpam-6681	6	17	world	world	NOUN
ejpam-6681	6	18	data	datum	NOUN
ejpam-6681	6	19	applications	application	NOUN
ejpam-6681	6	20	reveal	reveal	VERB
ejpam-6681	6	21	that	that	SCONJ
ejpam-6681	6	22	the	the	DET
ejpam-6681	6	23	ebd	ebd	PROPN
ejpam-6681	6	24	fits	fit	VERB
ejpam-6681	6	25	data	datum	NOUN
ejpam-6681	6	26	better	well	ADV
ejpam-6681	6	27	than	than	ADP
ejpam-6681	6	28	the	the	DET
ejpam-6681	6	29	conventional	conventional	ADJ
ejpam-6681	6	30	burr	burr	NOUN
ejpam-6681	6	31	-	-	PUNCT
ejpam-6681	6	32	xii	xii	NOUN
ejpam-6681	6	33	distribution	distribution	NOUN
ejpam-6681	6	34	.	.	PUNCT
ejpam-6681	7	1	the	the	DET
ejpam-6681	7	2	outcomes	outcome	NOUN
ejpam-6681	7	3	demonstrate	demonstrate	VERB
ejpam-6681	7	4	how	how	SCONJ
ejpam-6681	7	5	adaptable	adaptable	ADJ
ejpam-6681	7	6	and	and	CCONJ
ejpam-6681	7	7	useful	useful	ADJ
ejpam-6681	7	8	the	the	DET
ejpam-6681	7	9	ebd	ebd	NOUN
ejpam-6681	7	10	is	be	AUX
ejpam-6681	7	11	for	for	ADP
ejpam-6681	7	12	modeling	model	VERB
ejpam-6681	7	13	lifespan	lifespan	NOUN
ejpam-6681	7	14	data	datum	NOUN
ejpam-6681	7	15	.	.	PUNCT
ejpam-6681	8	1	2020	2020	NUM
ejpam-6681	8	2	mathematics	mathematics	PROPN
ejpam-6681	8	3	subject	subject	NOUN
ejpam-6681	8	4	classifications	classification	NOUN
ejpam-6681	8	5	:	:	PUNCT
ejpam-6681	8	6	60e05	60e05	NUM
ejpam-6681	8	7	,	,	PUNCT
ejpam-6681	8	8	62	62	NUM
ejpam-6681	8	9	-	-	SYM
ejpam-6681	8	10	07	07	NUM
ejpam-6681	8	11	key	key	ADJ
ejpam-6681	8	12	words	word	NOUN
ejpam-6681	8	13	and	and	CCONJ
ejpam-6681	8	14	phrases	phrase	NOUN
ejpam-6681	8	15	:	:	PUNCT
ejpam-6681	8	16	burr	burr	NOUN
ejpam-6681	8	17	xii	xii	NOUN
ejpam-6681	8	18	distribution	distribution	NOUN
ejpam-6681	8	19	,	,	PUNCT
ejpam-6681	8	20	epanechnikov	epanechnikov	NOUN
ejpam-6681	8	21	,	,	PUNCT
ejpam-6681	8	22	maximum	maximum	ADJ
ejpam-6681	8	23	likelihood	likelihood	NOUN
ejpam-6681	8	24	,	,	PUNCT
ejpam-6681	8	25	moment	moment	NOUN
ejpam-6681	8	26	,	,	PUNCT
ejpam-6681	8	27	moment	moment	NOUN
ejpam-6681	8	28	generating	generate	VERB
ejpam-6681	8	29	function	function	NOUN
ejpam-6681	8	30	1	1	NUM
ejpam-6681	8	31	.	.	PUNCT
ejpam-6681	9	1	introduction	introduction	NOUN
ejpam-6681	9	2	the	the	DET
ejpam-6681	9	3	optimal	optimal	ADJ
ejpam-6681	9	4	mean	mean	ADJ
ejpam-6681	9	5	square	square	ADJ
ejpam-6681	9	6	error	error	NOUN
ejpam-6681	9	7	features	feature	NOUN
ejpam-6681	9	8	of	of	ADP
ejpam-6681	9	9	the	the	DET
ejpam-6681	9	10	epanechnikov	epanechnikov	PROPN
ejpam-6681	9	11	kernel	kernel	PROPN
ejpam-6681	9	12	function	function	PROPN
ejpam-6681	9	13	(	(	PUNCT
ejpam-6681	9	14	ekf	ekf	PROPN
ejpam-6681	9	15	)	)	PUNCT
ejpam-6681	9	16	make	make	VERB
ejpam-6681	9	17	it	it	PRON
ejpam-6681	9	18	a	a	DET
ejpam-6681	9	19	popular	popular	ADJ
ejpam-6681	9	20	non	non	ADJ
ejpam-6681	9	21	-	-	ADJ
ejpam-6681	9	22	parametric	parametric	ADJ
ejpam-6681	9	23	tool	tool	NOUN
ejpam-6681	9	24	for	for	ADP
ejpam-6681	9	25	density	density	NOUN
ejpam-6681	9	26	estimation	estimation	NOUN
ejpam-6681	9	27	.	.	PUNCT
ejpam-6681	10	1	in	in	ADP
ejpam-6681	10	2	this	this	DET
ejpam-6681	10	3	work	work	NOUN
ejpam-6681	10	4	,	,	PUNCT
ejpam-6681	10	5	we	we	PRON
ejpam-6681	10	6	suggest	suggest	VERB
ejpam-6681	10	7	a	a	DET
ejpam-6681	10	8	novel	novel	ADJ
ejpam-6681	10	9	distribution	distribution	NOUN
ejpam-6681	10	10	,	,	PUNCT
ejpam-6681	10	11	the	the	DET
ejpam-6681	10	12	epanechnikov	epanechnikov	NOUN
ejpam-6681	10	13	-	-	PUNCT
ejpam-6681	10	14	burr	burr	NOUN
ejpam-6681	10	15	-	-	PUNCT
ejpam-6681	10	16	xii	xii	NOUN
ejpam-6681	10	17	distribution	distribution	NOUN
ejpam-6681	10	18	(	(	PUNCT
ejpam-6681	10	19	ebd	ebd	PROPN
ejpam-6681	10	20	)	)	PUNCT
ejpam-6681	10	21	,	,	PUNCT
ejpam-6681	10	22	by	by	ADP
ejpam-6681	10	23	combining	combine	VERB
ejpam-6681	10	24	the	the	DET
ejpam-6681	10	25	ekf	ekf	NOUN
ejpam-6681	10	26	and	and	CCONJ
ejpam-6681	10	27	the	the	DET
ejpam-6681	10	28	burr	burr	NOUN
ejpam-6681	10	29	-	-	PUNCT
ejpam-6681	10	30	xii	xii	NOUN
ejpam-6681	10	31	distribution	distribution	NOUN
ejpam-6681	10	32	.	.	PUNCT
ejpam-6681	11	1	when	when	SCONJ
ejpam-6681	11	2	combined	combine	VERB
ejpam-6681	11	3	with	with	ADP
ejpam-6681	11	4	the	the	DET
ejpam-6681	11	5	ekf	ekf	PROPN
ejpam-6681	11	6	,	,	PUNCT
ejpam-6681	11	7	the	the	DET
ejpam-6681	11	8	burr	burr	NOUN
ejpam-6681	11	9	-	-	PUNCT
ejpam-6681	11	10	xii	xii	NOUN
ejpam-6681	11	11	distribution	distribution	NOUN
ejpam-6681	11	12	,	,	PUNCT
ejpam-6681	11	13	which	which	PRON
ejpam-6681	11	14	is	be	AUX
ejpam-6681	11	15	well	well	ADV
ejpam-6681	11	16	-	-	PUNCT
ejpam-6681	11	17	known	know	VERB
ejpam-6681	11	18	for	for	ADP
ejpam-6681	11	19	its	its	PRON
ejpam-6681	11	20	adaptability	adaptability	NOUN
ejpam-6681	11	21	in	in	ADP
ejpam-6681	11	22	modeling	model	VERB
ejpam-6681	11	23	lifetime	lifetime	NOUN
ejpam-6681	11	24	data	datum	NOUN
ejpam-6681	11	25	,	,	PUNCT
ejpam-6681	11	26	becomes	become	VERB
ejpam-6681	11	27	much	much	ADV
ejpam-6681	11	28	more	more	ADV
ejpam-6681	11	29	versatile	versatile	ADJ
ejpam-6681	11	30	and	and	CCONJ
ejpam-6681	11	31	applicable	applicable	ADJ
ejpam-6681	11	32	.	.	PUNCT
ejpam-6681	12	1	the	the	DET
ejpam-6681	12	2	employment	employment	NOUN
ejpam-6681	12	3	of	of	ADP
ejpam-6681	12	4	different	different	ADJ
ejpam-6681	12	5	transformation	transformation	NOUN
ejpam-6681	12	6	techniques	technique	NOUN
ejpam-6681	12	7	,	,	PUNCT
ejpam-6681	12	8	including	include	VERB
ejpam-6681	12	9	kernel	kernel	NOUN
ejpam-6681	12	10	functions	function	NOUN
ejpam-6681	12	11	and	and	CCONJ
ejpam-6681	12	12	quadratic	quadratic	ADJ
ejpam-6681	12	13	transmutation	transmutation	NOUN
ejpam-6681	12	14	maps	map	NOUN
ejpam-6681	12	15	,	,	PUNCT
ejpam-6681	12	16	to	to	PART
ejpam-6681	12	17	generalize	generalize	VERB
ejpam-6681	12	18	distributions	distribution	NOUN
ejpam-6681	12	19	has	have	AUX
ejpam-6681	12	20	been	be	AUX
ejpam-6681	12	21	the	the	DET
ejpam-6681	12	22	subject	subject	NOUN
ejpam-6681	12	23	of	of	ADP
ejpam-6681	12	24	recent	recent	ADJ
ejpam-6681	12	25	∗corresponding	∗corresponding	NOUN
ejpam-6681	12	26	author	author	NOUN
ejpam-6681	12	27	.	.	PUNCT
ejpam-6681	13	1	doi	doi	NOUN
ejpam-6681	13	2	:	:	PUNCT
ejpam-6681	13	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6681	https://doi.org/10.29020/nybg.ejpam.v18i4.6681	ADP
ejpam-6681	13	4	email	email	NOUN
ejpam-6681	13	5	addresses	address	NOUN
ejpam-6681	13	6	:	:	PUNCT
ejpam-6681	13	7	nodat@jadara.edu.jo	nodat@jadara.edu.jo	NOUN
ejpam-6681	13	8	(	(	PUNCT
ejpam-6681	13	9	n.	n.	PROPN
ejpam-6681	13	10	odat	odat	PROPN
ejpam-6681	13	11	)	)	PUNCT
ejpam-6681	13	12	,	,	PUNCT
ejpam-6681	13	13	aymanha@jadara.edu.jo	aymanha@jadara.edu.jo	INTJ
ejpam-6681	13	14	(	(	PUNCT
ejpam-6681	13	15	a.	a.	NOUN
ejpam-6681	13	16	hazaymeh	hazaymeh	NOUN
ejpam-6681	13	17	)	)	PUNCT
ejpam-6681	13	18	,	,	PUNCT
ejpam-6681	13	19	a.bataihah@jadara.edu.jo	a.bataihah@jadara.edu.jo	NOUN
ejpam-6681	13	20	(	(	PUNCT
ejpam-6681	13	21	a.	a.	PROPN
ejpam-6681	13	22	bataihah	bataihah	PROPN
ejpam-6681	13	23	)	)	PUNCT
ejpam-6681	13	24	,	,	PUNCT
ejpam-6681	13	25	raed@jadara.edu.jo	raed@jadara.edu.jo	NOUN
ejpam-6681	13	26	(	(	PUNCT
ejpam-6681	13	27	r.	r.	PROPN
ejpam-6681	13	28	hatamleh	hatamleh	PROPN
ejpam-6681	13	29	)	)	PUNCT
ejpam-6681	13	30	,	,	PUNCT
ejpam-6681	13	31	m.abuqamar@jadara.edu.jo	m.abuqamar@jadara.edu.jo	NOUN
ejpam-6681	13	32	(	(	PUNCT
ejpam-6681	13	33	m.	m.	NOUN
ejpam-6681	13	34	abuqamar	abuqamar	PROPN
ejpam-6681	13	35	)	)	PUNCT
ejpam-6681	13	36	,	,	PUNCT
ejpam-6681	13	37	melhem@jadara.edu.jo	melhem@jadara.edu.jo	NOUN
ejpam-6681	13	38	(	(	PUNCT
ejpam-6681	13	39	a.	a.	NOUN
ejpam-6681	13	40	melhem	melhem	PROPN
ejpam-6681	13	41	)	)	PUNCT
ejpam-6681	13	42	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6681	13	43	1	1	NUM
ejpam-6681	13	44	copyright	copyright	NOUN
ejpam-6681	13	45	:	:	PUNCT
ejpam-6681	14	1	©	©	PROPN
ejpam-6681	14	2	2025	2025	NUM
ejpam-6681	14	3	the	the	DET
ejpam-6681	14	4	author(s	author(s	NOUN
ejpam-6681	14	5	)	)	PUNCT
ejpam-6681	14	6	.	.	PUNCT
ejpam-6681	15	1	(	(	PUNCT
ejpam-6681	15	2	cc	cc	NOUN
ejpam-6681	15	3	by	by	ADP
ejpam-6681	15	4	-	-	PUNCT
ejpam-6681	15	5	nc	nc	PROPN
ejpam-6681	15	6	4.0	4.0	NUM
ejpam-6681	15	7	)	)	PUNCT
ejpam-6681	15	8	n.	n.	NOUN
ejpam-6681	15	9	odat	odat	NOUN
ejpam-6681	15	10	et	et	PROPN
ejpam-6681	15	11	al	al	PROPN
ejpam-6681	15	12	.	.	PUNCT
ejpam-6681	15	13	/	/	SYM
ejpam-6681	15	14	eur	eur	PROPN
ejpam-6681	15	15	.	.	PUNCT
ejpam-6681	16	1	j.	j.	PROPN
ejpam-6681	16	2	pure	pure	PROPN
ejpam-6681	16	3	appl	appl	PROPN
ejpam-6681	16	4	.	.	PROPN
ejpam-6681	16	5	math	math	PROPN
ejpam-6681	16	6	,	,	PUNCT
ejpam-6681	16	7	18	18	NUM
ejpam-6681	16	8	(	(	PUNCT
ejpam-6681	16	9	4	4	NUM
ejpam-6681	16	10	)	)	PUNCT
ejpam-6681	16	11	(	(	PUNCT
ejpam-6681	16	12	2025	2025	NUM
ejpam-6681	16	13	)	)	PUNCT
ejpam-6681	16	14	,	,	PUNCT
ejpam-6681	16	15	6681	6681	NUM
ejpam-6681	16	16	2	2	NUM
ejpam-6681	16	17	of	of	ADP
ejpam-6681	16	18	15	15	NUM
ejpam-6681	16	19	study	study	NOUN
ejpam-6681	16	20	.	.	PUNCT
ejpam-6681	17	1	these	these	DET
ejpam-6681	17	2	generalizations	generalization	NOUN
ejpam-6681	17	3	have	have	AUX
ejpam-6681	17	4	been	be	AUX
ejpam-6681	17	5	helpful	helpful	ADJ
ejpam-6681	17	6	in	in	ADP
ejpam-6681	17	7	survival	survival	NOUN
ejpam-6681	17	8	research	research	NOUN
ejpam-6681	17	9	,	,	PUNCT
ejpam-6681	17	10	reliability	reliability	NOUN
ejpam-6681	17	11	analysis	analysis	NOUN
ejpam-6681	17	12	,	,	PUNCT
ejpam-6681	17	13	and	and	CCONJ
ejpam-6681	17	14	other	other	ADJ
ejpam-6681	17	15	areas	area	NOUN
ejpam-6681	17	16	.	.	PUNCT
ejpam-6681	18	1	by	by	ADP
ejpam-6681	18	2	embedding	embed	VERB
ejpam-6681	18	3	the	the	DET
ejpam-6681	18	4	ekf	ekf	NOUN
ejpam-6681	18	5	into	into	ADP
ejpam-6681	18	6	the	the	DET
ejpam-6681	18	7	burr	burr	NOUN
ejpam-6681	18	8	-	-	PUNCT
ejpam-6681	18	9	xii	xii	NOUN
ejpam-6681	18	10	distribution	distribution	NOUN
ejpam-6681	18	11	,	,	PUNCT
ejpam-6681	18	12	the	the	DET
ejpam-6681	18	13	ebd	ebd	NOUN
ejpam-6681	18	14	is	be	AUX
ejpam-6681	18	15	obtained	obtain	VERB
ejpam-6681	18	16	,	,	PUNCT
ejpam-6681	18	17	producing	produce	VERB
ejpam-6681	18	18	a	a	DET
ejpam-6681	18	19	distribution	distribution	NOUN
ejpam-6681	18	20	with	with	ADP
ejpam-6681	18	21	more	more	ADJ
ejpam-6681	18	22	complex	complex	ADJ
ejpam-6681	18	23	mathematical	mathematical	ADJ
ejpam-6681	18	24	characteristics	characteristic	NOUN
ejpam-6681	18	25	.	.	PUNCT
ejpam-6681	19	1	the	the	DET
ejpam-6681	19	2	ebd	ebd	PROPN
ejpam-6681	19	3	’s	’s	PART
ejpam-6681	19	4	moments	moment	NOUN
ejpam-6681	19	5	,	,	PUNCT
ejpam-6681	19	6	reliability	reliability	NOUN
ejpam-6681	19	7	functions	function	NOUN
ejpam-6681	19	8	,	,	PUNCT
ejpam-6681	19	9	hazard	hazard	NOUN
ejpam-6681	19	10	rates	rate	NOUN
ejpam-6681	19	11	,	,	PUNCT
ejpam-6681	19	12	and	and	CCONJ
ejpam-6681	19	13	order	order	NOUN
ejpam-6681	19	14	statistics	statistic	NOUN
ejpam-6681	19	15	are	be	AUX
ejpam-6681	19	16	all	all	PRON
ejpam-6681	19	17	examined	examine	VERB
ejpam-6681	19	18	in	in	ADP
ejpam-6681	19	19	this	this	DET
ejpam-6681	19	20	work	work	NOUN
ejpam-6681	19	21	.	.	PUNCT
ejpam-6681	20	1	furthermore	furthermore	ADV
ejpam-6681	20	2	,	,	PUNCT
ejpam-6681	20	3	mle	mle	PROPN
ejpam-6681	20	4	is	be	AUX
ejpam-6681	20	5	used	use	VERB
ejpam-6681	20	6	to	to	PART
ejpam-6681	20	7	estimate	estimate	VERB
ejpam-6681	20	8	the	the	DET
ejpam-6681	20	9	ebd	ebd	PROPN
ejpam-6681	20	10	’s	’s	PART
ejpam-6681	20	11	parameters	parameter	NOUN
ejpam-6681	20	12	,	,	PUNCT
ejpam-6681	20	13	and	and	CCONJ
ejpam-6681	20	14	the	the	DET
ejpam-6681	20	15	consistency	consistency	NOUN
ejpam-6681	20	16	of	of	ADP
ejpam-6681	20	17	these	these	DET
ejpam-6681	20	18	estimators	estimator	NOUN
ejpam-6681	20	19	is	be	AUX
ejpam-6681	20	20	confirmed	confirm	VERB
ejpam-6681	20	21	by	by	ADP
ejpam-6681	20	22	a	a	DET
ejpam-6681	20	23	simulation	simulation	NOUN
ejpam-6681	20	24	analysis	analysis	NOUN
ejpam-6681	20	25	.	.	PUNCT
ejpam-6681	21	1	the	the	DET
ejpam-6681	21	2	enhanced	enhance	VERB
ejpam-6681	21	3	performance	performance	NOUN
ejpam-6681	21	4	of	of	ADP
ejpam-6681	21	5	the	the	DET
ejpam-6681	21	6	ebd	ebd	NOUN
ejpam-6681	21	7	over	over	ADP
ejpam-6681	21	8	the	the	DET
ejpam-6681	21	9	conventional	conventional	ADJ
ejpam-6681	21	10	burr	burr	NOUN
ejpam-6681	21	11	-	-	PUNCT
ejpam-6681	21	12	xii	xii	NOUN
ejpam-6681	21	13	distribution	distribution	NOUN
ejpam-6681	21	14	is	be	AUX
ejpam-6681	21	15	illustrated	illustrate	VERB
ejpam-6681	21	16	using	use	VERB
ejpam-6681	21	17	real	real	ADJ
ejpam-6681	21	18	-	-	PUNCT
ejpam-6681	21	19	world	world	NOUN
ejpam-6681	21	20	datasets	dataset	NOUN
ejpam-6681	21	21	.	.	PUNCT
ejpam-6681	22	1	a	a	DET
ejpam-6681	22	2	lot	lot	NOUN
ejpam-6681	22	3	of	of	ADP
ejpam-6681	22	4	researchers	researcher	NOUN
ejpam-6681	22	5	generalized	generalize	VERB
ejpam-6681	22	6	some	some	DET
ejpam-6681	22	7	distributions	distribution	NOUN
ejpam-6681	22	8	using	use	VERB
ejpam-6681	22	9	the	the	DET
ejpam-6681	22	10	distribution	distribution	NOUN
ejpam-6681	22	11	theory	theory	NOUN
ejpam-6681	22	12	.	.	PUNCT
ejpam-6681	23	1	[	[	X
ejpam-6681	23	2	1	1	X
ejpam-6681	23	3	]	]	PUNCT
ejpam-6681	23	4	used	use	VERB
ejpam-6681	23	5	epanechnikov	epanechnikov	NOUN
ejpam-6681	23	6	-	-	PUNCT
ejpam-6681	23	7	pareto	pareto	VERB
ejpam-6681	23	8	distribution	distribution	NOUN
ejpam-6681	23	9	.	.	PUNCT
ejpam-6681	24	1	[	[	X
ejpam-6681	24	2	2	2	X
ejpam-6681	24	3	]	]	X
ejpam-6681	24	4	propose	propose	VERB
ejpam-6681	24	5	the	the	DET
ejpam-6681	24	6	transmuted	transmuted	ADJ
ejpam-6681	24	7	janardan	janardan	NOUN
ejpam-6681	24	8	distribution	distribution	NOUN
ejpam-6681	24	9	.	.	PUNCT
ejpam-6681	25	1	the	the	DET
ejpam-6681	25	2	two	two	NUM
ejpam-6681	25	3	-	-	PUNCT
ejpam-6681	25	4	parameter	parameter	NOUN
ejpam-6681	25	5	lindley	lindley	NOUN
ejpam-6681	25	6	distribution	distribution	NOUN
ejpam-6681	25	7	[	[	X
ejpam-6681	25	8	3	3	X
ejpam-6681	25	9	]	]	PUNCT
ejpam-6681	25	10	and	and	CCONJ
ejpam-6681	25	11	the	the	DET
ejpam-6681	25	12	ishita	ishita	ADJ
ejpam-6681	25	13	distribution	distribution	NOUN
ejpam-6681	25	14	[	[	X
ejpam-6681	25	15	4	4	X
ejpam-6681	25	16	]	]	PUNCT
ejpam-6681	25	17	are	be	AUX
ejpam-6681	25	18	all	all	PRON
ejpam-6681	25	19	generalized	generalized	ADJ
ejpam-6681	25	20	using	use	VERB
ejpam-6681	25	21	the	the	DET
ejpam-6681	25	22	same	same	ADJ
ejpam-6681	25	23	map	map	NOUN
ejpam-6681	25	24	.	.	PUNCT
ejpam-6681	26	1	through	through	ADP
ejpam-6681	26	2	her	her	PRON
ejpam-6681	26	3	master	master	NOUN
ejpam-6681	26	4	’s	’s	PART
ejpam-6681	26	5	thesis	thesis	NOUN
ejpam-6681	26	6	,	,	PUNCT
ejpam-6681	26	7	[	[	X
ejpam-6681	26	8	5	5	NUM
ejpam-6681	26	9	]	]	PUNCT
ejpam-6681	26	10	combined	combine	VERB
ejpam-6681	26	11	the	the	DET
ejpam-6681	26	12	epanechnikov	epanechnikov	PROPN
ejpam-6681	26	13	kernel	kernel	PROPN
ejpam-6681	26	14	function	function	VERB
ejpam-6681	26	15	with	with	ADP
ejpam-6681	26	16	the	the	DET
ejpam-6681	26	17	weibull	weibull	NOUN
ejpam-6681	26	18	distribution	distribution	NOUN
ejpam-6681	26	19	to	to	PART
ejpam-6681	26	20	produce	produce	VERB
ejpam-6681	26	21	the	the	DET
ejpam-6681	26	22	epanechnikov	epanechnikov	NOUN
ejpam-6681	26	23	-	-	PUNCT
ejpam-6681	26	24	weibull	weibull	PROPN
ejpam-6681	26	25	distribution	distribution	NOUN
ejpam-6681	26	26	.	.	PUNCT
ejpam-6681	27	1	[	[	X
ejpam-6681	27	2	6	6	NUM
ejpam-6681	27	3	]	]	PUNCT
ejpam-6681	27	4	calculated	calculate	VERB
ejpam-6681	27	5	the	the	DET
ejpam-6681	27	6	two	two	NUM
ejpam-6681	27	7	-	-	PUNCT
ejpam-6681	27	8	parameter	parameter	NOUN
ejpam-6681	27	9	weighted	weight	VERB
ejpam-6681	27	10	exponential	exponential	ADJ
ejpam-6681	27	11	distributions	distribution	NOUN
ejpam-6681	27	12	and	and	CCONJ
ejpam-6681	27	13	the	the	DET
ejpam-6681	27	14	transmuted	transmuted	ADJ
ejpam-6681	27	15	reciprocal	reciprocal	NOUN
ejpam-6681	27	16	.	.	PUNCT
ejpam-6681	28	1	in	in	ADP
ejpam-6681	28	2	contrast	contrast	NOUN
ejpam-6681	28	3	,	,	PUNCT
ejpam-6681	28	4	[	[	X
ejpam-6681	28	5	7	7	X
ejpam-6681	28	6	]	]	PUNCT
ejpam-6681	28	7	proposed	propose	VERB
ejpam-6681	28	8	the	the	DET
ejpam-6681	28	9	transmuted	transmuted	ADJ
ejpam-6681	28	10	aradhana	aradhana	NOUN
ejpam-6681	28	11	distribution	distribution	NOUN
ejpam-6681	28	12	using	use	VERB
ejpam-6681	28	13	the	the	DET
ejpam-6681	28	14	quadratic	quadratic	ADJ
ejpam-6681	28	15	transmutation	transmutation	NOUN
ejpam-6681	28	16	map	map	NOUN
ejpam-6681	28	17	.	.	PUNCT
ejpam-6681	29	1	[	[	X
ejpam-6681	29	2	8	8	NUM
ejpam-6681	29	3	]	]	PUNCT
ejpam-6681	29	4	provide	provide	VERB
ejpam-6681	29	5	new	new	ADJ
ejpam-6681	29	6	estimators	estimator	NOUN
ejpam-6681	29	7	for	for	ADP
ejpam-6681	29	8	the	the	DET
ejpam-6681	29	9	moving	move	VERB
ejpam-6681	29	10	extreme	extreme	ADJ
ejpam-6681	29	11	ranked	rank	VERB
ejpam-6681	29	12	set	set	ADJ
ejpam-6681	29	13	sampling	sample	VERB
ejpam-6681	29	14	scheme	scheme	NOUN
ejpam-6681	29	15	’s	’s	PART
ejpam-6681	29	16	simple	simple	ADJ
ejpam-6681	29	17	linear	linear	ADJ
ejpam-6681	29	18	regression	regression	NOUN
ejpam-6681	29	19	parameters	parameter	NOUN
ejpam-6681	29	20	.	.	PUNCT
ejpam-6681	30	1	the	the	DET
ejpam-6681	30	2	transmuted	transmuted	ADJ
ejpam-6681	30	3	gumbel	gumbel	NOUN
ejpam-6681	30	4	-	-	PUNCT
ejpam-6681	30	5	logistic	logistic	ADJ
ejpam-6681	30	6	distribution	distribution	NOUN
ejpam-6681	30	7	was	be	AUX
ejpam-6681	30	8	introduced	introduce	VERB
ejpam-6681	30	9	by	by	ADP
ejpam-6681	30	10	[	[	X
ejpam-6681	30	11	9	9	NUM
ejpam-6681	30	12	]	]	PUNCT
ejpam-6681	30	13	who	who	PRON
ejpam-6681	30	14	used	use	VERB
ejpam-6681	30	15	the	the	DET
ejpam-6681	30	16	inverse	inverse	ADJ
ejpam-6681	30	17	weibull	weibull	NOUN
ejpam-6681	30	18	distribution	distribution	NOUN
ejpam-6681	30	19	as	as	ADP
ejpam-6681	30	20	the	the	DET
ejpam-6681	30	21	kernel	kernel	PROPN
ejpam-6681	30	22	function	function	NOUN
ejpam-6681	30	23	.	.	PUNCT
ejpam-6681	31	1	by	by	ADP
ejpam-6681	31	2	applying	apply	VERB
ejpam-6681	31	3	a	a	DET
ejpam-6681	31	4	beta	beta	ADJ
ejpam-6681	31	5	kernel	kernel	NOUN
ejpam-6681	31	6	function	function	NOUN
ejpam-6681	31	7	to	to	ADP
ejpam-6681	31	8	a	a	DET
ejpam-6681	31	9	standard	standard	ADJ
ejpam-6681	31	10	exponential	exponential	ADJ
ejpam-6681	31	11	distribution	distribution	NOUN
ejpam-6681	31	12	,	,	PUNCT
ejpam-6681	31	13	[	[	X
ejpam-6681	31	14	10	10	NUM
ejpam-6681	31	15	]	]	PUNCT
ejpam-6681	31	16	used	use	VERB
ejpam-6681	31	17	the	the	DET
ejpam-6681	31	18	exponential	exponential	ADJ
ejpam-6681	31	19	distribution	distribution	NOUN
ejpam-6681	31	20	and	and	CCONJ
ejpam-6681	31	21	the	the	DET
ejpam-6681	31	22	epanechnikov	epanechnikov	PROPN
ejpam-6681	31	23	kernel	kernel	PROPN
ejpam-6681	31	24	function	function	VERB
ejpam-6681	31	25	to	to	PART
ejpam-6681	31	26	suggest	suggest	VERB
ejpam-6681	31	27	a	a	DET
ejpam-6681	31	28	new	new	ADJ
ejpam-6681	31	29	distribution	distribution	NOUN
ejpam-6681	31	30	.	.	PUNCT
ejpam-6681	32	1	[	[	X
ejpam-6681	32	2	11	11	NUM
ejpam-6681	32	3	]	]	PUNCT
ejpam-6681	32	4	used	use	VERB
ejpam-6681	32	5	the	the	DET
ejpam-6681	32	6	maximum	maximum	ADJ
ejpam-6681	32	7	likelihood	likelihood	NOUN
ejpam-6681	32	8	estimator	estimator	NOUN
ejpam-6681	32	9	approach	approach	NOUN
ejpam-6681	32	10	to	to	PART
ejpam-6681	32	11	estimate	estimate	VERB
ejpam-6681	32	12	the	the	DET
ejpam-6681	32	13	reliability	reliability	NOUN
ejpam-6681	32	14	based	base	VERB
ejpam-6681	32	15	on	on	ADP
ejpam-6681	32	16	the	the	DET
ejpam-6681	32	17	pareto	pareto	ADJ
ejpam-6681	32	18	distribution	distribution	NOUN
ejpam-6681	32	19	.	.	PUNCT
ejpam-6681	33	1	in	in	ADP
ejpam-6681	33	2	order	order	NOUN
ejpam-6681	33	3	to	to	PART
ejpam-6681	33	4	estimate	estimate	VERB
ejpam-6681	33	5	the	the	DET
ejpam-6681	33	6	parameters	parameter	NOUN
ejpam-6681	33	7	and	and	CCONJ
ejpam-6681	33	8	reliability	reliability	NOUN
ejpam-6681	33	9	,	,	PUNCT
ejpam-6681	33	10	[	[	X
ejpam-6681	33	11	12	12	NUM
ejpam-6681	33	12	]	]	PUNCT
ejpam-6681	33	13	presented	present	VERB
ejpam-6681	33	14	a	a	DET
ejpam-6681	33	15	novel	novel	ADJ
ejpam-6681	33	16	estimation	estimation	NOUN
ejpam-6681	33	17	method	method	NOUN
ejpam-6681	33	18	based	base	VERB
ejpam-6681	33	19	on	on	ADP
ejpam-6681	33	20	non	non	ADJ
ejpam-6681	33	21	-	-	ADJ
ejpam-6681	33	22	parametric	parametric	ADJ
ejpam-6681	33	23	kernel	kernel	PROPN
ejpam-6681	33	24	density	density	PROPN
ejpam-6681	33	25	estimation	estimation	NOUN
ejpam-6681	33	26	.	.	PUNCT
ejpam-6681	34	1	[	[	X
ejpam-6681	34	2	13	13	NUM
ejpam-6681	34	3	]	]	PUNCT
ejpam-6681	34	4	develop	develop	VERB
ejpam-6681	34	5	mukherjee	mukherjee	PROPN
ejpam-6681	34	6	-	-	PUNCT
ejpam-6681	34	7	islam	islam	PROPN
ejpam-6681	34	8	distribution	distribution	NOUN
ejpam-6681	34	9	into	into	ADP
ejpam-6681	34	10	transmuted	transmuted	ADJ
ejpam-6681	34	11	mukherjeeislam	mukherjeeislam	ADJ
ejpam-6681	34	12	distribution	distribution	NOUN
ejpam-6681	34	13	.	.	PUNCT
ejpam-6681	35	1	in	in	ADP
ejpam-6681	35	2	this	this	DET
ejpam-6681	35	3	paper	paper	NOUN
ejpam-6681	35	4	we	we	PRON
ejpam-6681	35	5	will	will	AUX
ejpam-6681	35	6	use	use	VERB
ejpam-6681	35	7	the	the	DET
ejpam-6681	35	8	ekf	ekf	NOUN
ejpam-6681	35	9	and	and	CCONJ
ejpam-6681	35	10	the	the	DET
ejpam-6681	35	11	burr	burr	NOUN
ejpam-6681	35	12	-	-	PUNCT
ejpam-6681	35	13	xii	xii	NOUN
ejpam-6681	35	14	distribution	distribution	NOUN
ejpam-6681	35	15	to	to	PART
ejpam-6681	35	16	generate	generate	VERB
ejpam-6681	35	17	a	a	DET
ejpam-6681	35	18	new	new	ADJ
ejpam-6681	35	19	distribution	distribution	NOUN
ejpam-6681	35	20	called	call	VERB
ejpam-6681	35	21	the	the	DET
ejpam-6681	35	22	epanechnikov	epanechnikov	PROPN
ejpam-6681	35	23	-	-	PUNCT
ejpam-6681	35	24	burr	burr	NOUN
ejpam-6681	35	25	-	-	PUNCT
ejpam-6681	35	26	xii	xii	NOUN
ejpam-6681	35	27	distribution	distribution	NOUN
ejpam-6681	35	28	(	(	PUNCT
ejpam-6681	35	29	ebd	ebd	PROPN
ejpam-6681	35	30	)	)	PUNCT
ejpam-6681	35	31	.	.	PUNCT
ejpam-6681	36	1	2	2	X
ejpam-6681	36	2	.	.	X
ejpam-6681	36	3	epanechnikov	epanechnikov	NOUN
ejpam-6681	36	4	-	-	PUNCT
ejpam-6681	36	5	burr	burr	PROPN
ejpam-6681	36	6	-	-	PUNCT
ejpam-6681	36	7	xii	xii	NOUN
ejpam-6681	36	8	distribution	distribution	NOUN
ejpam-6681	36	9	the	the	DET
ejpam-6681	36	10	burr	burr	NOUN
ejpam-6681	36	11	-	-	PUNCT
ejpam-6681	36	12	xii	xii	NOUN
ejpam-6681	36	13	distribution	distribution	NOUN
ejpam-6681	36	14	was	be	AUX
ejpam-6681	36	15	first	first	ADV
ejpam-6681	36	16	developed	develop	VERB
ejpam-6681	36	17	by	by	ADP
ejpam-6681	36	18	burr	burr	NOUN
ejpam-6681	37	1	[	[	X
ejpam-6681	37	2	14	14	NUM
ejpam-6681	37	3	]	]	PUNCT
ejpam-6681	37	4	in	in	ADP
ejpam-6681	37	5	1942	1942	NUM
ejpam-6681	37	6	and	and	CCONJ
ejpam-6681	37	7	has	have	AUX
ejpam-6681	37	8	received	receive	VERB
ejpam-6681	37	9	considerable	considerable	ADJ
ejpam-6681	37	10	attention	attention	NOUN
ejpam-6681	37	11	due	due	ADP
ejpam-6681	37	12	to	to	ADP
ejpam-6681	37	13	its	its	PRON
ejpam-6681	37	14	wide	wide	ADJ
ejpam-6681	37	15	range	range	NOUN
ejpam-6681	37	16	of	of	ADP
ejpam-6681	37	17	applications	application	NOUN
ejpam-6681	37	18	in	in	ADP
ejpam-6681	37	19	areas	area	NOUN
ejpam-6681	37	20	such	such	ADJ
ejpam-6681	37	21	as	as	ADP
ejpam-6681	37	22	acceptance	acceptance	NOUN
ejpam-6681	37	23	sampling	sample	VERB
ejpam-6681	37	24	plans	plan	NOUN
ejpam-6681	37	25	,	,	PUNCT
ejpam-6681	37	26	failure	failure	NOUN
ejpam-6681	37	27	-	-	PUNCT
ejpam-6681	37	28	time	time	NOUN
ejpam-6681	37	29	modeling	modeling	NOUN
ejpam-6681	37	30	,	,	PUNCT
ejpam-6681	37	31	and	and	CCONJ
ejpam-6681	37	32	reliability	reliability	NOUN
ejpam-6681	37	33	analysis	analysis	NOUN
ejpam-6681	37	34	.	.	PUNCT
ejpam-6681	38	1	the	the	DET
ejpam-6681	38	2	probability	probability	NOUN
ejpam-6681	38	3	density	density	NOUN
ejpam-6681	38	4	function	function	NOUN
ejpam-6681	38	5	(	(	PUNCT
ejpam-6681	38	6	pdf	pdf	NOUN
ejpam-6681	38	7	)	)	PUNCT
ejpam-6681	38	8	of	of	ADP
ejpam-6681	38	9	the	the	DET
ejpam-6681	38	10	burr	burr	NOUN
ejpam-6681	38	11	-	-	PUNCT
ejpam-6681	38	12	xii	xii	PROPN
ejpam-6681	38	13	is	be	AUX
ejpam-6681	38	14	f(x	f(x	PROPN
ejpam-6681	38	15	,	,	PUNCT
ejpam-6681	38	16	α	α	NOUN
ejpam-6681	38	17	,	,	PUNCT
ejpam-6681	38	18	θ	θ	NOUN
ejpam-6681	38	19	)	)	PUNCT
ejpam-6681	38	20	=	=	SYM
ejpam-6681	38	21	θαxα−1(1	θαxα−1(1	X
ejpam-6681	38	22	+	+	SYM
ejpam-6681	38	23	xα)−θ−1	xα)−θ−1	PROPN
ejpam-6681	38	24	,	,	PUNCT
ejpam-6681	38	25	x	x	PRON
ejpam-6681	38	26	,	,	PUNCT
ejpam-6681	38	27	α	α	X
ejpam-6681	38	28	,	,	PUNCT
ejpam-6681	38	29	θ	θ	PROPN
ejpam-6681	38	30	≥	≥	NOUN
ejpam-6681	38	31	0	0	NUM
ejpam-6681	38	32	and	and	CCONJ
ejpam-6681	38	33	its	its	PRON
ejpam-6681	38	34	cumulative	cumulative	ADJ
ejpam-6681	38	35	distribution	distribution	NOUN
ejpam-6681	38	36	function	function	NOUN
ejpam-6681	38	37	(	(	PUNCT
ejpam-6681	38	38	cdf	cdf	PROPN
ejpam-6681	38	39	)	)	PUNCT
ejpam-6681	38	40	is	be	AUX
ejpam-6681	38	41	f	f	PROPN
ejpam-6681	38	42	(	(	PUNCT
ejpam-6681	38	43	x	x	NOUN
ejpam-6681	38	44	)	)	PUNCT
ejpam-6681	38	45	=	=	SYM
ejpam-6681	38	46	1−	1−	NUM
ejpam-6681	38	47	(	(	PUNCT
ejpam-6681	38	48	1	1	NUM
ejpam-6681	39	1	+	+	NUM
ejpam-6681	39	2	xα)−θ	xα)−θ	SYM
ejpam-6681	40	1	the	the	DET
ejpam-6681	40	2	epanechnikov	epanechnikov	PROPN
ejpam-6681	40	3	kernel	kernel	PROPN
ejpam-6681	40	4	function	function	PROPN
ejpam-6681	40	5	(	(	PUNCT
ejpam-6681	40	6	ekf	ekf	PROPN
ejpam-6681	40	7	)	)	PUNCT
ejpam-6681	40	8	is	be	AUX
ejpam-6681	40	9	defined	define	VERB
ejpam-6681	40	10	as	as	ADP
ejpam-6681	40	11	k(u	k(u	X
ejpam-6681	40	12	)	)	PUNCT
ejpam-6681	40	13	=	=	SYM
ejpam-6681	40	14	3	3	NUM
ejpam-6681	40	15	4	4	NUM
ejpam-6681	40	16	(	(	PUNCT
ejpam-6681	40	17	1−	1−	NUM
ejpam-6681	40	18	u2	u2	NOUN
ejpam-6681	40	19	)	)	PUNCT
ejpam-6681	40	20	,	,	PUNCT
ejpam-6681	40	21	|u|	|u|	ADV
ejpam-6681	40	22	≤	≤	NUM
ejpam-6681	40	23	1	1	NUM
ejpam-6681	40	24	the	the	DET
ejpam-6681	40	25	epanechnikov	epanechnikov	NOUN
ejpam-6681	40	26	kernel	kernel	PROPN
ejpam-6681	40	27	is	be	AUX
ejpam-6681	40	28	defined	define	VERB
ejpam-6681	40	29	for	for	ADP
ejpam-6681	40	30	|u|	|u|	ADJ
ejpam-6681	40	31	≤	≤	NUM
ejpam-6681	40	32	1	1	NUM
ejpam-6681	40	33	.	.	PUNCT
ejpam-6681	41	1	in	in	ADP
ejpam-6681	41	2	the	the	DET
ejpam-6681	41	3	construction	construction	NOUN
ejpam-6681	41	4	of	of	ADP
ejpam-6681	41	5	the	the	DET
ejpam-6681	41	6	ebd	ebd	PROPN
ejpam-6681	41	7	,	,	PUNCT
ejpam-6681	41	8	the	the	DET
ejpam-6681	41	9	variable	variable	ADJ
ejpam-6681	41	10	u	u	NOUN
ejpam-6681	41	11	is	be	AUX
ejpam-6681	41	12	given	give	VERB
ejpam-6681	41	13	by	by	ADP
ejpam-6681	41	14	the	the	DET
ejpam-6681	41	15	cdf	cdf	PROPN
ejpam-6681	41	16	of	of	ADP
ejpam-6681	41	17	the	the	DET
ejpam-6681	41	18	burr	burr	NOUN
ejpam-6681	41	19	-	-	PUNCT
ejpam-6681	41	20	xii	xii	NOUN
ejpam-6681	41	21	distribution	distribution	NOUN
ejpam-6681	41	22	,	,	PUNCT
ejpam-6681	41	23	f	f	PROPN
ejpam-6681	41	24	(	(	PUNCT
ejpam-6681	41	25	x	x	X
ejpam-6681	41	26	)	)	PUNCT
ejpam-6681	41	27	=	=	SYM
ejpam-6681	41	28	1−	1−	NUM
ejpam-6681	41	29	(	(	PUNCT
ejpam-6681	41	30	1+xα)−θ	1+xα)−θ	NUM
ejpam-6681	41	31	,	,	PUNCT
ejpam-6681	41	32	which	which	PRON
ejpam-6681	41	33	n.	n.	PROPN
ejpam-6681	41	34	odat	odat	NOUN
ejpam-6681	41	35	et	et	PROPN
ejpam-6681	41	36	al	al	PROPN
ejpam-6681	41	37	.	.	PUNCT
ejpam-6681	41	38	/	/	SYM
ejpam-6681	41	39	eur	eur	PROPN
ejpam-6681	41	40	.	.	PUNCT
ejpam-6681	42	1	j.	j.	PROPN
ejpam-6681	42	2	pure	pure	PROPN
ejpam-6681	42	3	appl	appl	PROPN
ejpam-6681	42	4	.	.	PROPN
ejpam-6681	42	5	math	math	PROPN
ejpam-6681	42	6	,	,	PUNCT
ejpam-6681	42	7	18	18	NUM
ejpam-6681	42	8	(	(	PUNCT
ejpam-6681	42	9	4	4	NUM
ejpam-6681	42	10	)	)	PUNCT
ejpam-6681	42	11	(	(	PUNCT
ejpam-6681	42	12	2025	2025	NUM
ejpam-6681	42	13	)	)	PUNCT
ejpam-6681	42	14	,	,	PUNCT
ejpam-6681	42	15	6681	6681	NUM
ejpam-6681	42	16	3	3	NUM
ejpam-6681	42	17	of	of	ADP
ejpam-6681	42	18	15	15	NUM
ejpam-6681	42	19	takes	take	VERB
ejpam-6681	42	20	values	value	NOUN
ejpam-6681	42	21	in	in	ADP
ejpam-6681	42	22	the	the	DET
ejpam-6681	42	23	interval	interval	NOUN
ejpam-6681	42	24	[	[	X
ejpam-6681	42	25	0	0	NUM
ejpam-6681	42	26	,	,	PUNCT
ejpam-6681	42	27	1	1	NUM
ejpam-6681	42	28	]	]	PUNCT
ejpam-6681	42	29	.	.	PUNCT
ejpam-6681	43	1	this	this	PRON
ejpam-6681	43	2	naturally	naturally	ADV
ejpam-6681	43	3	satisfies	satisfy	VERB
ejpam-6681	43	4	the	the	DET
ejpam-6681	43	5	condition	condition	NOUN
ejpam-6681	43	6	|u|	|u|	ADV
ejpam-6681	43	7	≤	≤	NUM
ejpam-6681	43	8	1	1	NUM
ejpam-6681	43	9	,	,	PUNCT
ejpam-6681	43	10	ensuring	ensure	VERB
ejpam-6681	43	11	the	the	DET
ejpam-6681	43	12	kernel	kernel	PROPN
ejpam-6681	43	13	truncation	truncation	NOUN
ejpam-6681	43	14	is	be	AUX
ejpam-6681	43	15	properly	properly	ADV
ejpam-6681	43	16	enforced	enforce	VERB
ejpam-6681	43	17	without	without	ADP
ejpam-6681	43	18	requiring	require	VERB
ejpam-6681	43	19	additional	additional	ADJ
ejpam-6681	43	20	constraints	constraint	NOUN
ejpam-6681	43	21	on	on	ADP
ejpam-6681	43	22	x.	x.	NOUN
ejpam-6681	43	23	by	by	ADP
ejpam-6681	43	24	embedding	embed	VERB
ejpam-6681	43	25	the	the	DET
ejpam-6681	43	26	epanechnikov	epanechnikov	NOUN
ejpam-6681	43	27	kernel	kernel	NOUN
ejpam-6681	43	28	into	into	ADP
ejpam-6681	43	29	the	the	DET
ejpam-6681	43	30	burr	burr	NOUN
ejpam-6681	43	31	-	-	PUNCT
ejpam-6681	43	32	xii	xii	NOUN
ejpam-6681	43	33	distribution	distribution	NOUN
ejpam-6681	43	34	,	,	PUNCT
ejpam-6681	43	35	we	we	PRON
ejpam-6681	43	36	define	define	VERB
ejpam-6681	43	37	a	a	DET
ejpam-6681	43	38	new	new	ADJ
ejpam-6681	43	39	class	class	NOUN
ejpam-6681	43	40	of	of	ADP
ejpam-6681	43	41	distributions	distribution	NOUN
ejpam-6681	43	42	called	call	VERB
ejpam-6681	43	43	the	the	DET
ejpam-6681	43	44	epanechnikov	epanechnikov	PROPN
ejpam-6681	43	45	-	-	PUNCT
ejpam-6681	43	46	burr	burr	NOUN
ejpam-6681	43	47	-	-	PUNCT
ejpam-6681	43	48	xii	xii	NOUN
ejpam-6681	43	49	distribution	distribution	NOUN
ejpam-6681	43	50	(	(	PUNCT
ejpam-6681	43	51	ebd	ebd	PROPN
ejpam-6681	43	52	)	)	PUNCT
ejpam-6681	43	53	.	.	PUNCT
ejpam-6681	44	1	its	its	PRON
ejpam-6681	44	2	probability	probability	NOUN
ejpam-6681	44	3	density	density	NOUN
ejpam-6681	44	4	function	function	NOUN
ejpam-6681	44	5	is	be	AUX
ejpam-6681	44	6	given	give	VERB
ejpam-6681	44	7	by	by	ADP
ejpam-6681	44	8	the	the	DET
ejpam-6681	44	9	following	follow	VERB
ejpam-6681	44	10	theorem	theorem	PROPN
ejpam-6681	44	11	.	.	PUNCT
ejpam-6681	44	12	theorem	theorem	NOUN
ejpam-6681	44	13	1	1	NUM
ejpam-6681	44	14	.	.	PUNCT
ejpam-6681	45	1	a	a	DET
ejpam-6681	45	2	random	random	ADJ
ejpam-6681	45	3	variable	variable	NOUN
ejpam-6681	45	4	x	x	PUNCT
ejpam-6681	45	5	is	be	AUX
ejpam-6681	45	6	said	say	VERB
ejpam-6681	45	7	to	to	PART
ejpam-6681	45	8	have	have	VERB
ejpam-6681	45	9	an	an	DET
ejpam-6681	45	10	ebd	ebd	NOUN
ejpam-6681	45	11	if	if	SCONJ
ejpam-6681	45	12	its	its	PRON
ejpam-6681	45	13	cdf	cdf	PROPN
ejpam-6681	45	14	and	and	CCONJ
ejpam-6681	45	15	pdf	pdf	NOUN
ejpam-6681	45	16	are	be	AUX
ejpam-6681	45	17	respectively	respectively	ADV
ejpam-6681	45	18	given	give	VERB
ejpam-6681	45	19	by	by	ADP
ejpam-6681	45	20	g(x	g(x	NOUN
ejpam-6681	45	21	)	)	PUNCT
ejpam-6681	46	1	=	=	SYM
ejpam-6681	46	2	3	3	NUM
ejpam-6681	46	3	2	2	NUM
ejpam-6681	46	4	[	[	PUNCT
ejpam-6681	46	5	2	2	NUM
ejpam-6681	46	6	3	3	NUM
ejpam-6681	46	7	−	−	NOUN
ejpam-6681	46	8	(	(	PUNCT
ejpam-6681	46	9	1	1	NUM
ejpam-6681	46	10	+	+	CCONJ
ejpam-6681	46	11	xα)−2θ	xα)−2θ	X
ejpam-6681	47	1	+	+	CCONJ
ejpam-6681	47	2	1	1	NUM
ejpam-6681	47	3	3	3	NUM
ejpam-6681	47	4	(	(	PUNCT
ejpam-6681	47	5	1	1	NUM
ejpam-6681	47	6	+	+	CCONJ
ejpam-6681	47	7	xα)−3θ	xα)−3θ	X
ejpam-6681	47	8	]	]	X
ejpam-6681	47	9	and	and	CCONJ
ejpam-6681	47	10	g(x	g(x	NOUN
ejpam-6681	47	11	)	)	PUNCT
ejpam-6681	48	1	=	=	SYM
ejpam-6681	48	2	3αθ	3αθ	NOUN
ejpam-6681	48	3	[	[	PUNCT
ejpam-6681	48	4	xα−1(1	xα−1(1	PROPN
ejpam-6681	48	5	+	+	CCONJ
ejpam-6681	48	6	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	48	7	−	−	PROPN
ejpam-6681	48	8	1	1	NUM
ejpam-6681	48	9	2	2	NUM
ejpam-6681	48	10	xα−1(1	xα−1(1	PUNCT
ejpam-6681	48	11	+	+	CCONJ
ejpam-6681	48	12	xα)−3θ−1	xα)−3θ−1	PROPN
ejpam-6681	48	13	]	]	PUNCT
ejpam-6681	48	14	,	,	PUNCT
ejpam-6681	48	15	x	x	X
ejpam-6681	48	16	≥	≥	NOUN
ejpam-6681	48	17	0	0	NUM
ejpam-6681	48	18	proof	proof	NOUN
ejpam-6681	48	19	.	.	PUNCT
ejpam-6681	49	1	we	we	PRON
ejpam-6681	49	2	begin	begin	VERB
ejpam-6681	49	3	with	with	ADP
ejpam-6681	49	4	the	the	DET
ejpam-6681	49	5	definition	definition	NOUN
ejpam-6681	49	6	of	of	ADP
ejpam-6681	49	7	the	the	DET
ejpam-6681	49	8	cumulative	cumulative	ADJ
ejpam-6681	49	9	distribution	distribution	NOUN
ejpam-6681	49	10	function	function	NOUN
ejpam-6681	49	11	for	for	ADP
ejpam-6681	49	12	kernelbased	kernelbased	ADJ
ejpam-6681	49	13	distributions	distribution	NOUN
ejpam-6681	49	14	:	:	PUNCT
ejpam-6681	49	15	g(x	g(x	NUM
ejpam-6681	49	16	)	)	PUNCT
ejpam-6681	50	1	=	=	SYM
ejpam-6681	50	2	2	2	NUM
ejpam-6681	50	3	∫	∫	NOUN
ejpam-6681	50	4	f	f	PROPN
ejpam-6681	50	5	(	(	PUNCT
ejpam-6681	50	6	x	x	X
ejpam-6681	50	7	)	)	PUNCT
ejpam-6681	50	8	0	0	NUM
ejpam-6681	51	1	k(u)du	k(u)du	NOUN
ejpam-6681	51	2	substituting	substitute	VERB
ejpam-6681	51	3	the	the	DET
ejpam-6681	51	4	epanechnikov	epanechnikov	NOUN
ejpam-6681	51	5	kernel	kernel	PROPN
ejpam-6681	51	6	function	function	PROPN
ejpam-6681	51	7	k(u	k(u	X
ejpam-6681	51	8	)	)	PUNCT
ejpam-6681	52	1	=	=	SYM
ejpam-6681	52	2	3	3	NUM
ejpam-6681	52	3	4(1	4(1	NUM
ejpam-6681	52	4	−	−	PROPN
ejpam-6681	52	5	u2	u2	PROPN
ejpam-6681	52	6	)	)	PUNCT
ejpam-6681	52	7	and	and	CCONJ
ejpam-6681	52	8	the	the	DET
ejpam-6681	52	9	burr	burr	NOUN
ejpam-6681	52	10	-	-	PUNCT
ejpam-6681	52	11	xii	xii	PROPN
ejpam-6681	52	12	cdf	cdf	PROPN
ejpam-6681	52	13	f	f	X
ejpam-6681	52	14	(	(	PUNCT
ejpam-6681	52	15	x	x	NOUN
ejpam-6681	52	16	)	)	PUNCT
ejpam-6681	52	17	=	=	SYM
ejpam-6681	52	18	1−	1−	NUM
ejpam-6681	52	19	(	(	PUNCT
ejpam-6681	52	20	1	1	NUM
ejpam-6681	52	21	+	+	CCONJ
ejpam-6681	52	22	xα)−θ	xα)−θ	PROPN
ejpam-6681	52	23	,	,	PUNCT
ejpam-6681	52	24	we	we	PRON
ejpam-6681	52	25	obtain	obtain	VERB
ejpam-6681	52	26	:	:	PUNCT
ejpam-6681	52	27	g(x	g(x	NUM
ejpam-6681	52	28	)	)	PUNCT
ejpam-6681	52	29	=	=	SYM
ejpam-6681	53	1	2	2	NUM
ejpam-6681	53	2	∫	∫	NOUN
ejpam-6681	53	3	1−(1+xα)−θ	1−(1+xα)−θ	NUM
ejpam-6681	53	4	0	0	NUM
ejpam-6681	53	5	3	3	NUM
ejpam-6681	53	6	4	4	NUM
ejpam-6681	53	7	(	(	PUNCT
ejpam-6681	53	8	1−	1−	NUM
ejpam-6681	53	9	u2)du	u2)du	PROPN
ejpam-6681	53	10	evaluating	evaluate	VERB
ejpam-6681	53	11	this	this	DET
ejpam-6681	53	12	integral	integral	ADJ
ejpam-6681	53	13	yields	yield	NOUN
ejpam-6681	53	14	:	:	PUNCT
ejpam-6681	53	15	g(x	g(x	NUM
ejpam-6681	53	16	)	)	PUNCT
ejpam-6681	54	1	=	=	SYM
ejpam-6681	54	2	3	3	NUM
ejpam-6681	54	3	2	2	NUM
ejpam-6681	54	4	[	[	PUNCT
ejpam-6681	54	5	1−	1−	NUM
ejpam-6681	54	6	(	(	PUNCT
ejpam-6681	54	7	1	1	NUM
ejpam-6681	54	8	+	+	CCONJ
ejpam-6681	54	9	xα)−θ	xα)−θ	SYM
ejpam-6681	55	1	−	−	PROPN
ejpam-6681	55	2	1	1	NUM
ejpam-6681	55	3	2	2	NUM
ejpam-6681	55	4	(	(	PUNCT
ejpam-6681	55	5	1−	1−	NUM
ejpam-6681	55	6	(	(	PUNCT
ejpam-6681	55	7	1	1	NUM
ejpam-6681	55	8	+	+	NUM
ejpam-6681	55	9	xα)−θ	xα)−θ	SYM
ejpam-6681	55	10	)	)	PUNCT
ejpam-6681	55	11	2	2	X
ejpam-6681	55	12	]	]	PUNCT
ejpam-6681	55	13	expanding	expand	VERB
ejpam-6681	55	14	and	and	CCONJ
ejpam-6681	55	15	simplifying	simplify	VERB
ejpam-6681	55	16	the	the	DET
ejpam-6681	55	17	expression	expression	NOUN
ejpam-6681	55	18	inside	inside	ADP
ejpam-6681	55	19	the	the	DET
ejpam-6681	55	20	brackets	bracket	NOUN
ejpam-6681	55	21	:	:	PUNCT
ejpam-6681	55	22	g(x	g(x	NOUN
ejpam-6681	55	23	)	)	PUNCT
ejpam-6681	56	1	=	=	SYM
ejpam-6681	56	2	3	3	NUM
ejpam-6681	56	3	2	2	NUM
ejpam-6681	56	4	[	[	PUNCT
ejpam-6681	56	5	2	2	NUM
ejpam-6681	56	6	3	3	NUM
ejpam-6681	56	7	−	−	NOUN
ejpam-6681	56	8	(	(	PUNCT
ejpam-6681	56	9	1	1	NUM
ejpam-6681	56	10	+	+	CCONJ
ejpam-6681	56	11	xα)−2θ	xα)−2θ	X
ejpam-6681	57	1	+	+	CCONJ
ejpam-6681	57	2	1	1	NUM
ejpam-6681	57	3	3	3	NUM
ejpam-6681	57	4	(	(	PUNCT
ejpam-6681	57	5	1	1	NUM
ejpam-6681	57	6	+	+	CCONJ
ejpam-6681	57	7	xα)−3θ	xα)−3θ	X
ejpam-6681	57	8	]	]	PUNCT
ejpam-6681	57	9	(	(	PUNCT
ejpam-6681	57	10	1	1	X
ejpam-6681	57	11	)	)	PUNCT
ejpam-6681	57	12	to	to	PART
ejpam-6681	57	13	obtain	obtain	VERB
ejpam-6681	57	14	the	the	DET
ejpam-6681	57	15	probability	probability	NOUN
ejpam-6681	57	16	density	density	NOUN
ejpam-6681	57	17	function	function	NOUN
ejpam-6681	57	18	,	,	PUNCT
ejpam-6681	57	19	we	we	PRON
ejpam-6681	57	20	differentiate	differentiate	VERB
ejpam-6681	57	21	g(x	g(x	NOUN
ejpam-6681	57	22	)	)	PUNCT
ejpam-6681	57	23	with	with	ADP
ejpam-6681	57	24	respect	respect	NOUN
ejpam-6681	57	25	to	to	ADP
ejpam-6681	57	26	x	x	NOUN
ejpam-6681	57	27	:	:	PUNCT
ejpam-6681	57	28	g(x	g(x	NOUN
ejpam-6681	57	29	)	)	PUNCT
ejpam-6681	57	30	=	=	PUNCT
ejpam-6681	58	1	d	d	X
ejpam-6681	58	2	dx	dx	PROPN
ejpam-6681	58	3	g(x	g(x	NOUN
ejpam-6681	58	4	)	)	PUNCT
ejpam-6681	59	1	=	=	SYM
ejpam-6681	59	2	3αθ	3αθ	NOUN
ejpam-6681	59	3	[	[	PUNCT
ejpam-6681	59	4	xα−1(1	xα−1(1	PROPN
ejpam-6681	59	5	+	+	CCONJ
ejpam-6681	59	6	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	59	7	−	−	PROPN
ejpam-6681	59	8	1	1	NUM
ejpam-6681	59	9	2	2	NUM
ejpam-6681	59	10	xα−1(1	xα−1(1	PUNCT
ejpam-6681	59	11	+	+	CCONJ
ejpam-6681	59	12	xα)−3θ−1	xα)−3θ−1	PROPN
ejpam-6681	59	13	]	]	PUNCT
ejpam-6681	59	14	(	(	PUNCT
ejpam-6681	59	15	2	2	X
ejpam-6681	59	16	)	)	PUNCT
ejpam-6681	59	17	this	this	PRON
ejpam-6681	59	18	completes	complete	VERB
ejpam-6681	59	19	the	the	DET
ejpam-6681	59	20	derivation	derivation	NOUN
ejpam-6681	59	21	.	.	PUNCT
ejpam-6681	60	1	this	this	PRON
ejpam-6681	60	2	completes	complete	VERB
ejpam-6681	60	3	the	the	DET
ejpam-6681	60	4	derivation	derivation	NOUN
ejpam-6681	60	5	of	of	ADP
ejpam-6681	60	6	the	the	DET
ejpam-6681	60	7	ebd	ebd	NOUN
ejpam-6681	60	8	distribution	distribution	NOUN
ejpam-6681	60	9	functions	function	NOUN
ejpam-6681	60	10	.	.	PUNCT
ejpam-6681	61	1	thus	thus	ADV
ejpam-6681	61	2	,	,	PUNCT
ejpam-6681	61	3	g(x	g(x	NOUN
ejpam-6681	61	4	)	)	PUNCT
ejpam-6681	61	5	is	be	AUX
ejpam-6681	61	6	a	a	DET
ejpam-6681	61	7	probability	probability	NOUN
ejpam-6681	61	8	density	density	NOUN
ejpam-6681	61	9	function	function	NOUN
ejpam-6681	61	10	,	,	PUNCT
ejpam-6681	61	11	as	as	ADP
ejpam-6681	61	12	the	the	DET
ejpam-6681	61	13	integral	integral	ADJ
ejpam-6681	61	14	of	of	ADP
ejpam-6681	61	15	g(x	g(x	NOUN
ejpam-6681	61	16	)	)	PUNCT
ejpam-6681	61	17	over	over	ADP
ejpam-6681	61	18	the	the	DET
ejpam-6681	61	19	interval	interval	NOUN
ejpam-6681	61	20	[	[	X
ejpam-6681	61	21	0,∞	0,∞	NOUN
ejpam-6681	61	22	)	)	PUNCT
ejpam-6681	61	23	is	be	AUX
ejpam-6681	61	24	equal	equal	ADJ
ejpam-6681	61	25	to	to	ADP
ejpam-6681	61	26	one	one	NUM
ejpam-6681	61	27	.	.	PUNCT
ejpam-6681	62	1	the	the	DET
ejpam-6681	62	2	epanechnikov	epanechnikov	PROPN
ejpam-6681	62	3	kernel	kernel	PROPN
ejpam-6681	62	4	imposes	impose	VERB
ejpam-6681	62	5	a	a	DET
ejpam-6681	62	6	bounded	bounded	ADJ
ejpam-6681	62	7	quadratic	quadratic	ADJ
ejpam-6681	62	8	transformation	transformation	NOUN
ejpam-6681	62	9	k(u	k(u	X
ejpam-6681	62	10	)	)	PUNCT
ejpam-6681	62	11	=	=	SYM
ejpam-6681	62	12	3	3	NUM
ejpam-6681	62	13	4(1−u2	4(1−u2	NUM
ejpam-6681	62	14	)	)	PUNCT
ejpam-6681	62	15	on	on	ADP
ejpam-6681	62	16	the	the	DET
ejpam-6681	62	17	burr	burr	NOUN
ejpam-6681	62	18	–	–	PUNCT
ejpam-6681	62	19	xii	xii	NOUN
ejpam-6681	62	20	distribution	distribution	NOUN
ejpam-6681	62	21	,	,	PUNCT
ejpam-6681	62	22	which	which	PRON
ejpam-6681	62	23	moderates	moderate	VERB
ejpam-6681	62	24	the	the	DET
ejpam-6681	62	25	extreme	extreme	ADJ
ejpam-6681	62	26	tail	tail	NOUN
ejpam-6681	62	27	behavior	behavior	NOUN
ejpam-6681	62	28	.	.	PUNCT
ejpam-6681	63	1	while	while	SCONJ
ejpam-6681	63	2	the	the	DET
ejpam-6681	63	3	standard	standard	ADJ
ejpam-6681	63	4	burr	burr	PROPN
ejpam-6681	63	5	–	–	PUNCT
ejpam-6681	63	6	xii	xii	NOUN
ejpam-6681	63	7	has	have	VERB
ejpam-6681	63	8	polynomial	polynomial	ADJ
ejpam-6681	63	9	tails	tail	NOUN
ejpam-6681	63	10	decaying	decay	VERB
ejpam-6681	63	11	as	as	ADP
ejpam-6681	63	12	x−αθ−1	x−αθ−1	PROPN
ejpam-6681	63	13	,	,	PUNCT
ejpam-6681	63	14	the	the	DET
ejpam-6681	63	15	ebd	ebd	NOUN
ejpam-6681	63	16	incorporates	incorporate	VERB
ejpam-6681	63	17	additional	additional	ADJ
ejpam-6681	63	18	terms	term	NOUN
ejpam-6681	63	19	with	with	ADP
ejpam-6681	63	20	faster	fast	ADV
ejpam-6681	63	21	-	-	PUNCT
ejpam-6681	63	22	decaying	decay	VERB
ejpam-6681	63	23	components	component	NOUN
ejpam-6681	63	24	(	(	PUNCT
ejpam-6681	63	25	1	1	NUM
ejpam-6681	63	26	+	+	NUM
ejpam-6681	63	27	xα)−3θ−1	xα)−3θ−1	PROPN
ejpam-6681	63	28	that	that	PRON
ejpam-6681	63	29	provide	provide	VERB
ejpam-6681	63	30	smoother	smooth	ADJ
ejpam-6681	63	31	transition	transition	NOUN
ejpam-6681	63	32	to	to	ADP
ejpam-6681	63	33	the	the	DET
ejpam-6681	63	34	tails	tail	NOUN
ejpam-6681	63	35	and	and	CCONJ
ejpam-6681	63	36	reduce	reduce	VERB
ejpam-6681	63	37	the	the	DET
ejpam-6681	63	38	propensity	propensity	NOUN
ejpam-6681	63	39	for	for	ADP
ejpam-6681	63	40	extreme	extreme	ADJ
ejpam-6681	63	41	outliers	outlier	NOUN
ejpam-6681	63	42	,	,	PUNCT
ejpam-6681	63	43	making	make	VERB
ejpam-6681	63	44	it	it	PRON
ejpam-6681	63	45	more	more	ADV
ejpam-6681	63	46	suitable	suitable	ADJ
ejpam-6681	63	47	for	for	ADP
ejpam-6681	63	48	modeling	model	VERB
ejpam-6681	63	49	real	real	ADJ
ejpam-6681	63	50	-	-	PUNCT
ejpam-6681	63	51	world	world	NOUN
ejpam-6681	63	52	data	datum	NOUN
ejpam-6681	63	53	where	where	SCONJ
ejpam-6681	63	54	very	very	ADV
ejpam-6681	63	55	extreme	extreme	ADJ
ejpam-6681	63	56	values	value	NOUN
ejpam-6681	63	57	are	be	AUX
ejpam-6681	63	58	less	less	ADV
ejpam-6681	63	59	common	common	ADJ
ejpam-6681	63	60	.	.	PUNCT
ejpam-6681	64	1	n.	n.	PROPN
ejpam-6681	64	2	odat	odat	PROPN
ejpam-6681	64	3	et	et	PROPN
ejpam-6681	64	4	al	al	PROPN
ejpam-6681	64	5	.	.	PUNCT
ejpam-6681	64	6	/	/	SYM
ejpam-6681	64	7	eur	eur	PROPN
ejpam-6681	64	8	.	.	PUNCT
ejpam-6681	65	1	j.	j.	PROPN
ejpam-6681	65	2	pure	pure	PROPN
ejpam-6681	65	3	appl	appl	PROPN
ejpam-6681	65	4	.	.	PROPN
ejpam-6681	65	5	math	math	PROPN
ejpam-6681	65	6	,	,	PUNCT
ejpam-6681	65	7	18	18	NUM
ejpam-6681	65	8	(	(	PUNCT
ejpam-6681	65	9	4	4	NUM
ejpam-6681	65	10	)	)	PUNCT
ejpam-6681	65	11	(	(	PUNCT
ejpam-6681	65	12	2025	2025	NUM
ejpam-6681	65	13	)	)	PUNCT
ejpam-6681	65	14	,	,	PUNCT
ejpam-6681	65	15	6681	6681	NUM
ejpam-6681	65	16	4	4	NUM
ejpam-6681	65	17	of	of	ADP
ejpam-6681	65	18	15	15	NUM
ejpam-6681	65	19	3	3	NUM
ejpam-6681	65	20	.	.	PUNCT
ejpam-6681	66	1	moments	moment	NOUN
ejpam-6681	66	2	of	of	ADP
ejpam-6681	66	3	the	the	DET
ejpam-6681	66	4	distribution	distribution	NOUN
ejpam-6681	66	5	let	let	VERB
ejpam-6681	66	6	x	x	PRON
ejpam-6681	66	7	be	be	AUX
ejpam-6681	66	8	a	a	DET
ejpam-6681	66	9	random	random	ADJ
ejpam-6681	66	10	variable	variable	NOUN
ejpam-6681	66	11	that	that	PRON
ejpam-6681	66	12	follows	follow	VERB
ejpam-6681	66	13	the	the	DET
ejpam-6681	66	14	ebd	ebd	NOUN
ejpam-6681	66	15	with	with	ADP
ejpam-6681	66	16	parameters	parameter	NOUN
ejpam-6681	66	17	α	α	X
ejpam-6681	66	18	>	>	X
ejpam-6681	66	19	0	0	PUNCT
ejpam-6681	66	20	and	and	CCONJ
ejpam-6681	66	21	θ	θ	X
ejpam-6681	66	22	>	>	X
ejpam-6681	66	23	0	0	X
ejpam-6681	66	24	.	.	PUNCT
ejpam-6681	67	1	the	the	DET
ejpam-6681	67	2	rth	rth	PROPN
ejpam-6681	67	3	moment	moment	NOUN
ejpam-6681	67	4	of	of	ADP
ejpam-6681	67	5	x	x	PUNCT
ejpam-6681	67	6	is	be	AUX
ejpam-6681	67	7	defined	define	VERB
ejpam-6681	67	8	as	as	ADP
ejpam-6681	67	9	e(xr	e(xr	NOUN
ejpam-6681	67	10	)	)	PUNCT
ejpam-6681	67	11	=	=	SYM
ejpam-6681	68	1	∫	∫	PROPN
ejpam-6681	68	2	∞	∞	NUM
ejpam-6681	68	3	0	0	NUM
ejpam-6681	68	4	xrg(x)dx	xrg(x)dx	PUNCT
ejpam-6681	68	5	theorem	theorem	NOUN
ejpam-6681	68	6	2	2	X
ejpam-6681	68	7	.	.	PUNCT
ejpam-6681	69	1	let	let	VERB
ejpam-6681	69	2	x	x	PUNCT
ejpam-6681	69	3	∼	∼	VERB
ejpam-6681	69	4	ebd(α	ebd(α	NOUN
ejpam-6681	69	5	,	,	PUNCT
ejpam-6681	69	6	θ	θ	NOUN
ejpam-6681	69	7	)	)	PUNCT
ejpam-6681	69	8	then	then	ADV
ejpam-6681	69	9	the	the	DET
ejpam-6681	69	10	rth	rth	PROPN
ejpam-6681	69	11	moment	moment	NOUN
ejpam-6681	69	12	of	of	ADP
ejpam-6681	69	13	x	x	PROPN
ejpam-6681	69	14	is	be	AUX
ejpam-6681	69	15	given	give	VERB
ejpam-6681	69	16	by	by	ADP
ejpam-6681	69	17	e(xr	e(xr	NOUN
ejpam-6681	69	18	)	)	PUNCT
ejpam-6681	70	1	=	=	SYM
ejpam-6681	70	2	3θ	3θ	NUM
ejpam-6681	70	3	[	[	PUNCT
ejpam-6681	70	4	γ	γ	X
ejpam-6681	70	5	(	(	PUNCT
ejpam-6681	70	6	r	r	NOUN
ejpam-6681	70	7	α	α	NOUN
ejpam-6681	70	8	+	+	CCONJ
ejpam-6681	70	9	1	1	X
ejpam-6681	70	10	)	)	PUNCT
ejpam-6681	70	11	γ	γ	X
ejpam-6681	70	12	(	(	PUNCT
ejpam-6681	70	13	2θ	2θ	NUM
ejpam-6681	70	14	−	−	NOUN
ejpam-6681	70	15	r	r	NOUN
ejpam-6681	70	16	α	α	NOUN
ejpam-6681	70	17	)	)	PUNCT
ejpam-6681	70	18	γ(2θ	γ(2θ	PUNCT
ejpam-6681	71	1	+	+	NOUN
ejpam-6681	71	2	1	1	X
ejpam-6681	71	3	)	)	PUNCT
ejpam-6681	71	4	−	−	NOUN
ejpam-6681	71	5	1	1	NUM
ejpam-6681	71	6	2	2	NUM
ejpam-6681	71	7	γ	γ	X
ejpam-6681	71	8	(	(	PUNCT
ejpam-6681	71	9	r	r	NOUN
ejpam-6681	71	10	α	α	NOUN
ejpam-6681	71	11	+	+	CCONJ
ejpam-6681	71	12	1	1	X
ejpam-6681	71	13	)	)	PUNCT
ejpam-6681	71	14	γ	γ	X
ejpam-6681	71	15	(	(	PUNCT
ejpam-6681	71	16	3θ	3θ	NUM
ejpam-6681	71	17	−	−	NOUN
ejpam-6681	71	18	r	r	NOUN
ejpam-6681	71	19	α	α	NOUN
ejpam-6681	71	20	)	)	PUNCT
ejpam-6681	71	21	γ(3θ	γ(3θ	PROPN
ejpam-6681	71	22	+	+	NOUN
ejpam-6681	71	23	1	1	NUM
ejpam-6681	71	24	)	)	PUNCT
ejpam-6681	71	25	]	]	PUNCT
ejpam-6681	71	26	where	where	SCONJ
ejpam-6681	71	27	the	the	DET
ejpam-6681	71	28	rth	rth	NOUN
ejpam-6681	71	29	moment	moment	NOUN
ejpam-6681	71	30	exists	exist	VERB
ejpam-6681	71	31	if	if	SCONJ
ejpam-6681	71	32	and	and	CCONJ
ejpam-6681	71	33	only	only	ADV
ejpam-6681	71	34	if	if	SCONJ
ejpam-6681	71	35	r	r	NOUN
ejpam-6681	71	36	<	<	X
ejpam-6681	71	37	2θα	2θα	NOUN
ejpam-6681	71	38	.	.	PUNCT
ejpam-6681	72	1	proof	proof	NOUN
ejpam-6681	72	2	.	.	PUNCT
ejpam-6681	73	1	the	the	DET
ejpam-6681	73	2	rth	rth	PROPN
ejpam-6681	73	3	moment	moment	NOUN
ejpam-6681	73	4	is	be	AUX
ejpam-6681	73	5	:	:	PUNCT
ejpam-6681	73	6	e(xr	e(xr	X
ejpam-6681	73	7	)	)	PUNCT
ejpam-6681	73	8	=	=	SYM
ejpam-6681	74	1	∫	∫	PROPN
ejpam-6681	74	2	∞	∞	NUM
ejpam-6681	74	3	0	0	NUM
ejpam-6681	75	1	xrg(x)dx	xrg(x)dx	PUNCT
ejpam-6681	75	2	substituting	substitute	VERB
ejpam-6681	75	3	the	the	DET
ejpam-6681	75	4	ebd	ebd	PROPN
ejpam-6681	75	5	pdf	pdf	NOUN
ejpam-6681	75	6	from	from	ADP
ejpam-6681	75	7	equation	equation	NOUN
ejpam-6681	75	8	2	2	NUM
ejpam-6681	75	9	:	:	PUNCT
ejpam-6681	75	10	e(xr	e(xr	X
ejpam-6681	75	11	)	)	PUNCT
ejpam-6681	75	12	=	=	PUNCT
ejpam-6681	76	1	3αθ	3αθ	NOUN
ejpam-6681	76	2	∫	∫	PROPN
ejpam-6681	76	3	∞	∞	PROPN
ejpam-6681	76	4	0	0	NUM
ejpam-6681	76	5	xr	xr	PROPN
ejpam-6681	76	6	[	[	PUNCT
ejpam-6681	76	7	xα−1(1	xα−1(1	PROPN
ejpam-6681	76	8	+	+	CCONJ
ejpam-6681	76	9	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	76	10	−	−	PROPN
ejpam-6681	76	11	1	1	NUM
ejpam-6681	76	12	2	2	NUM
ejpam-6681	76	13	xα−1(1	xα−1(1	PUNCT
ejpam-6681	76	14	+	+	CCONJ
ejpam-6681	76	15	xα)−3θ−1	xα)−3θ−1	PROPN
ejpam-6681	76	16	]	]	PUNCT
ejpam-6681	76	17	dx	dx	PROPN
ejpam-6681	76	18	combining	combine	VERB
ejpam-6681	76	19	terms	term	NOUN
ejpam-6681	76	20	:	:	PUNCT
ejpam-6681	76	21	e(xr	e(xr	X
ejpam-6681	76	22	)	)	PUNCT
ejpam-6681	76	23	=	=	PUNCT
ejpam-6681	77	1	3αθ	3αθ	NOUN
ejpam-6681	77	2	∫	∫	PROPN
ejpam-6681	77	3	∞	∞	NUM
ejpam-6681	77	4	0	0	NUM
ejpam-6681	78	1	[	[	PUNCT
ejpam-6681	78	2	xα+r−1(1	xα+r−1(1	PROPN
ejpam-6681	78	3	+	+	SYM
ejpam-6681	78	4	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	78	5	−	−	PROPN
ejpam-6681	78	6	1	1	NUM
ejpam-6681	78	7	2	2	NUM
ejpam-6681	78	8	xα+r−1(1	xα+r−1(1	PROPN
ejpam-6681	78	9	+	+	NOUN
ejpam-6681	78	10	xα)−3θ−1	xα)−3θ−1	PUNCT
ejpam-6681	78	11	]	]	PUNCT
ejpam-6681	78	12	dx	dx	PROPN
ejpam-6681	78	13	expressing	express	VERB
ejpam-6681	78	14	in	in	ADP
ejpam-6681	78	15	terms	term	NOUN
ejpam-6681	78	16	of	of	ADP
ejpam-6681	78	17	beta	beta	ADJ
ejpam-6681	78	18	functions	function	NOUN
ejpam-6681	78	19	:	:	PUNCT
ejpam-6681	78	20	e(xr	e(xr	X
ejpam-6681	78	21	)	)	PUNCT
ejpam-6681	78	22	=	=	SYM
ejpam-6681	78	23	3θ	3θ	NUM
ejpam-6681	78	24	[	[	PUNCT
ejpam-6681	78	25	b	b	X
ejpam-6681	78	26	(	(	PUNCT
ejpam-6681	78	27	r	r	NOUN
ejpam-6681	78	28	α	α	NOUN
ejpam-6681	78	29	+	+	NOUN
ejpam-6681	78	30	1	1	NUM
ejpam-6681	78	31	,	,	PUNCT
ejpam-6681	78	32	2θ	2θ	NUM
ejpam-6681	78	33	−	−	NOUN
ejpam-6681	78	34	r	r	NOUN
ejpam-6681	78	35	α	α	NOUN
ejpam-6681	78	36	)	)	PUNCT
ejpam-6681	79	1	−	−	NOUN
ejpam-6681	79	2	1	1	NUM
ejpam-6681	79	3	2	2	NUM
ejpam-6681	79	4	b	b	X
ejpam-6681	79	5	(	(	PUNCT
ejpam-6681	79	6	r	r	NOUN
ejpam-6681	79	7	α	α	NOUN
ejpam-6681	79	8	+	+	NOUN
ejpam-6681	79	9	1	1	NUM
ejpam-6681	79	10	,	,	PUNCT
ejpam-6681	79	11	3θ	3θ	NUM
ejpam-6681	79	12	−	−	NOUN
ejpam-6681	79	13	r	r	NOUN
ejpam-6681	79	14	α	α	NOUN
ejpam-6681	79	15	)	)	PUNCT
ejpam-6681	79	16	]	]	PUNCT
ejpam-6681	80	1	converting	convert	VERB
ejpam-6681	80	2	to	to	ADP
ejpam-6681	80	3	gamma	gamma	NOUN
ejpam-6681	80	4	functions	function	NOUN
ejpam-6681	80	5	:	:	PUNCT
ejpam-6681	80	6	e(xr	e(xr	X
ejpam-6681	80	7	)	)	PUNCT
ejpam-6681	80	8	=	=	SYM
ejpam-6681	80	9	3θ	3θ	NUM
ejpam-6681	80	10	[	[	PUNCT
ejpam-6681	80	11	γ	γ	X
ejpam-6681	80	12	(	(	PUNCT
ejpam-6681	80	13	r	r	NOUN
ejpam-6681	80	14	α	α	NOUN
ejpam-6681	80	15	+	+	CCONJ
ejpam-6681	80	16	1	1	X
ejpam-6681	80	17	)	)	PUNCT
ejpam-6681	80	18	γ	γ	X
ejpam-6681	80	19	(	(	PUNCT
ejpam-6681	80	20	2θ	2θ	NUM
ejpam-6681	80	21	−	−	NOUN
ejpam-6681	80	22	r	r	NOUN
ejpam-6681	80	23	α	α	NOUN
ejpam-6681	80	24	)	)	PUNCT
ejpam-6681	80	25	γ(2θ	γ(2θ	PUNCT
ejpam-6681	81	1	+	+	NOUN
ejpam-6681	81	2	1	1	X
ejpam-6681	81	3	)	)	PUNCT
ejpam-6681	81	4	−	−	NOUN
ejpam-6681	81	5	1	1	NUM
ejpam-6681	81	6	2	2	NUM
ejpam-6681	81	7	γ	γ	X
ejpam-6681	81	8	(	(	PUNCT
ejpam-6681	81	9	r	r	NOUN
ejpam-6681	81	10	α	α	NOUN
ejpam-6681	81	11	+	+	CCONJ
ejpam-6681	81	12	1	1	X
ejpam-6681	81	13	)	)	PUNCT
ejpam-6681	81	14	γ	γ	X
ejpam-6681	81	15	(	(	PUNCT
ejpam-6681	81	16	3θ	3θ	NUM
ejpam-6681	81	17	−	−	NOUN
ejpam-6681	81	18	r	r	NOUN
ejpam-6681	81	19	α	α	NOUN
ejpam-6681	81	20	)	)	PUNCT
ejpam-6681	81	21	γ(3θ	γ(3θ	PROPN
ejpam-6681	81	22	+	+	NOUN
ejpam-6681	81	23	1	1	NUM
ejpam-6681	81	24	)	)	PUNCT
ejpam-6681	81	25	]	]	PUNCT
ejpam-6681	82	1	the	the	DET
ejpam-6681	82	2	moment	moment	NOUN
ejpam-6681	82	3	exists	exist	VERB
ejpam-6681	82	4	when	when	SCONJ
ejpam-6681	82	5	r	r	NOUN
ejpam-6681	82	6	<	<	X
ejpam-6681	82	7	2θα	2θα	NOUN
ejpam-6681	82	8	to	to	PART
ejpam-6681	82	9	ensure	ensure	VERB
ejpam-6681	82	10	positive	positive	ADJ
ejpam-6681	82	11	gamma	gamma	NOUN
ejpam-6681	82	12	arguments	argument	NOUN
ejpam-6681	82	13	.	.	PUNCT
ejpam-6681	83	1	for	for	ADP
ejpam-6681	83	2	r	r	NOUN
ejpam-6681	83	3	=	=	SYM
ejpam-6681	83	4	1	1	NUM
ejpam-6681	83	5	:	:	PUNCT
ejpam-6681	83	6	e(x	e(x	NUM
ejpam-6681	83	7	)	)	PUNCT
ejpam-6681	83	8	=	=	SYM
ejpam-6681	83	9	3θ	3θ	NUM
ejpam-6681	83	10	α	α	PROPN
ejpam-6681	83	11	γ	γ	X
ejpam-6681	83	12	(	(	PUNCT
ejpam-6681	83	13	1	1	NUM
ejpam-6681	83	14	α	α	NOUN
ejpam-6681	83	15	)	)	PUNCT
ejpam-6681	83	16	[	[	PUNCT
ejpam-6681	83	17	γ	γ	X
ejpam-6681	83	18	(	(	PUNCT
ejpam-6681	83	19	2θ	2θ	NUM
ejpam-6681	83	20	−	−	NOUN
ejpam-6681	83	21	1	1	NUM
ejpam-6681	83	22	α	α	NOUN
ejpam-6681	83	23	)	)	PUNCT
ejpam-6681	83	24	γ(2θ	γ(2θ	PUNCT
ejpam-6681	84	1	+	+	NOUN
ejpam-6681	84	2	1	1	X
ejpam-6681	84	3	)	)	PUNCT
ejpam-6681	84	4	−	−	PROPN
ejpam-6681	84	5	γ	γ	X
ejpam-6681	84	6	(	(	PUNCT
ejpam-6681	84	7	3θ	3θ	NUM
ejpam-6681	84	8	−	−	NOUN
ejpam-6681	84	9	1	1	NUM
ejpam-6681	84	10	α	α	NOUN
ejpam-6681	84	11	)	)	PUNCT
ejpam-6681	84	12	2γ(3θ	2γ(3θ	PROPN
ejpam-6681	85	1	+	+	CCONJ
ejpam-6681	85	2	1	1	NUM
ejpam-6681	85	3	)	)	PUNCT
ejpam-6681	85	4	]	]	PUNCT
ejpam-6681	85	5	for	for	ADP
ejpam-6681	85	6	r	r	NOUN
ejpam-6681	85	7	=	=	SYM
ejpam-6681	85	8	2	2	NUM
ejpam-6681	85	9	:	:	PUNCT
ejpam-6681	85	10	e(x2	e(x2	NOUN
ejpam-6681	85	11	)	)	PUNCT
ejpam-6681	86	1	=	=	NOUN
ejpam-6681	86	2	6θ	6θ	VERB
ejpam-6681	86	3	α	α	NUM
ejpam-6681	86	4	γ	γ	X
ejpam-6681	86	5	(	(	PUNCT
ejpam-6681	86	6	2	2	NUM
ejpam-6681	86	7	α	α	NOUN
ejpam-6681	86	8	)	)	PUNCT
ejpam-6681	86	9	[	[	PUNCT
ejpam-6681	86	10	γ	γ	X
ejpam-6681	86	11	(	(	PUNCT
ejpam-6681	86	12	2θ	2θ	NUM
ejpam-6681	86	13	−	−	NUM
ejpam-6681	86	14	2	2	NUM
ejpam-6681	86	15	α	α	NOUN
ejpam-6681	86	16	)	)	PUNCT
ejpam-6681	86	17	γ(2θ	γ(2θ	PUNCT
ejpam-6681	86	18	+	+	NOUN
ejpam-6681	86	19	1	1	X
ejpam-6681	86	20	)	)	PUNCT
ejpam-6681	86	21	−	−	NOUN
ejpam-6681	86	22	1	1	NUM
ejpam-6681	86	23	2	2	NUM
ejpam-6681	86	24	γ	γ	X
ejpam-6681	86	25	(	(	PUNCT
ejpam-6681	86	26	3θ	3θ	NUM
ejpam-6681	86	27	−	−	NOUN
ejpam-6681	86	28	2	2	NUM
ejpam-6681	86	29	α	α	NOUN
ejpam-6681	86	30	)	)	PUNCT
ejpam-6681	86	31	γ(3θ	γ(3θ	X
ejpam-6681	87	1	+	+	NOUN
ejpam-6681	87	2	1	1	NUM
ejpam-6681	87	3	)	)	PUNCT
ejpam-6681	87	4	]	]	PUNCT
ejpam-6681	88	1	n.	n.	PROPN
ejpam-6681	88	2	odat	odat	PROPN
ejpam-6681	88	3	et	et	PROPN
ejpam-6681	88	4	al	al	PROPN
ejpam-6681	88	5	.	.	PUNCT
ejpam-6681	88	6	/	/	SYM
ejpam-6681	88	7	eur	eur	PROPN
ejpam-6681	88	8	.	.	PUNCT
ejpam-6681	89	1	j.	j.	PROPN
ejpam-6681	89	2	pure	pure	PROPN
ejpam-6681	89	3	appl	appl	PROPN
ejpam-6681	89	4	.	.	PROPN
ejpam-6681	89	5	math	math	PROPN
ejpam-6681	89	6	,	,	PUNCT
ejpam-6681	89	7	18	18	NUM
ejpam-6681	89	8	(	(	PUNCT
ejpam-6681	89	9	4	4	NUM
ejpam-6681	89	10	)	)	PUNCT
ejpam-6681	89	11	(	(	PUNCT
ejpam-6681	89	12	2025	2025	NUM
ejpam-6681	89	13	)	)	PUNCT
ejpam-6681	89	14	,	,	PUNCT
ejpam-6681	89	15	6681	6681	NUM
ejpam-6681	89	16	5	5	NUM
ejpam-6681	89	17	of	of	ADP
ejpam-6681	89	18	15	15	NUM
ejpam-6681	89	19	the	the	DET
ejpam-6681	89	20	variance	variance	NOUN
ejpam-6681	89	21	is	be	AUX
ejpam-6681	89	22	given	give	VERB
ejpam-6681	89	23	by	by	ADP
ejpam-6681	89	24	:	:	PUNCT
ejpam-6681	89	25	v(x	v(x	PROPN
ejpam-6681	89	26	)	)	PUNCT
ejpam-6681	89	27	=	=	PUNCT
ejpam-6681	90	1	e(x2)−	e(x2)−	NOUN
ejpam-6681	91	1	[	[	X
ejpam-6681	91	2	e(x)]2	e(x)]2	ADV
ejpam-6681	91	3	v(x	v(x	VERB
ejpam-6681	91	4	)	)	PUNCT
ejpam-6681	92	1	=	=	PUNCT
ejpam-6681	92	2	6θ	6θ	VERB
ejpam-6681	92	3	α	α	NUM
ejpam-6681	92	4	γ	γ	X
ejpam-6681	92	5	(	(	PUNCT
ejpam-6681	92	6	2	2	NUM
ejpam-6681	92	7	α	α	NOUN
ejpam-6681	92	8	)	)	PUNCT
ejpam-6681	92	9	[	[	PUNCT
ejpam-6681	92	10	γ(2θ	γ(2θ	PUNCT
ejpam-6681	92	11	−	−	PROPN
ejpam-6681	92	12	2	2	NUM
ejpam-6681	92	13	α	α	NOUN
ejpam-6681	92	14	)	)	PUNCT
ejpam-6681	92	15	γ(2θ	γ(2θ	PUNCT
ejpam-6681	93	1	+	+	NOUN
ejpam-6681	93	2	1	1	X
ejpam-6681	93	3	)	)	PUNCT
ejpam-6681	93	4	−	−	NOUN
ejpam-6681	93	5	1	1	NUM
ejpam-6681	93	6	2	2	NUM
ejpam-6681	93	7	γ(3θ	γ(3θ	ADP
ejpam-6681	93	8	−	−	PROPN
ejpam-6681	93	9	2	2	NUM
ejpam-6681	93	10	α	α	NOUN
ejpam-6681	93	11	)	)	PUNCT
ejpam-6681	93	12	γ(3θ	γ(3θ	VERB
ejpam-6681	94	1	+	+	NOUN
ejpam-6681	94	2	1	1	NUM
ejpam-6681	94	3	)	)	PUNCT
ejpam-6681	94	4	]	]	PUNCT
ejpam-6681	95	1	−	−	PROPN
ejpam-6681	95	2	[	[	PUNCT
ejpam-6681	95	3	3θ	3θ	NUM
ejpam-6681	95	4	α	α	PROPN
ejpam-6681	95	5	γ	γ	X
ejpam-6681	95	6	(	(	PUNCT
ejpam-6681	95	7	1	1	NUM
ejpam-6681	95	8	α	α	NOUN
ejpam-6681	95	9	)	)	PUNCT
ejpam-6681	95	10	(	(	PUNCT
ejpam-6681	95	11	γ(2θ	γ(2θ	PUNCT
ejpam-6681	95	12	−	−	PROPN
ejpam-6681	95	13	1	1	NUM
ejpam-6681	95	14	α	α	NOUN
ejpam-6681	95	15	)	)	PUNCT
ejpam-6681	95	16	γ(2θ	γ(2θ	PUNCT
ejpam-6681	95	17	+	+	NOUN
ejpam-6681	95	18	1	1	X
ejpam-6681	95	19	)	)	PUNCT
ejpam-6681	95	20	−	−	NOUN
ejpam-6681	95	21	γ(3θ	γ(3θ	SYM
ejpam-6681	95	22	−	−	PROPN
ejpam-6681	95	23	1	1	NUM
ejpam-6681	95	24	α	α	NOUN
ejpam-6681	95	25	)	)	PUNCT
ejpam-6681	95	26	2γ(3θ	2γ(3θ	PROPN
ejpam-6681	96	1	+	+	CCONJ
ejpam-6681	96	2	1	1	NUM
ejpam-6681	96	3	)	)	PUNCT
ejpam-6681	96	4	)	)	PUNCT
ejpam-6681	97	1	]	]	SYM
ejpam-6681	97	2	2	2	NUM
ejpam-6681	97	3	.	.	X
ejpam-6681	97	4	4	4	X
ejpam-6681	97	5	.	.	X
ejpam-6681	97	6	characteristic	characteristic	ADJ
ejpam-6681	97	7	function	function	NOUN
ejpam-6681	97	8	the	the	DET
ejpam-6681	97	9	ordinary	ordinary	ADJ
ejpam-6681	97	10	moment	moment	NOUN
ejpam-6681	97	11	generating	generate	VERB
ejpam-6681	97	12	function	function	NOUN
ejpam-6681	97	13	mx(t	mx(t	NOUN
ejpam-6681	97	14	)	)	PUNCT
ejpam-6681	97	15	=	=	SYM
ejpam-6681	98	1	e(etx	e(etx	CCONJ
ejpam-6681	98	2	)	)	PUNCT
ejpam-6681	98	3	does	do	AUX
ejpam-6681	98	4	not	not	PART
ejpam-6681	98	5	exist	exist	VERB
ejpam-6681	98	6	for	for	ADP
ejpam-6681	98	7	the	the	DET
ejpam-6681	98	8	epanechnikov	epanechnikov	PROPN
ejpam-6681	98	9	–	–	PUNCT
ejpam-6681	98	10	burr	burr	NOUN
ejpam-6681	98	11	xii	xii	NOUN
ejpam-6681	98	12	distribution	distribution	NOUN
ejpam-6681	98	13	when	when	SCONJ
ejpam-6681	98	14	t	t	PROPN
ejpam-6681	98	15	>	>	X
ejpam-6681	98	16	0	0	NUM
ejpam-6681	99	1	due	due	ADP
ejpam-6681	99	2	to	to	ADP
ejpam-6681	99	3	its	its	PRON
ejpam-6681	99	4	heavy	heavy	ADJ
ejpam-6681	99	5	-	-	PUNCT
ejpam-6681	99	6	tailed	tail	VERB
ejpam-6681	99	7	nature	nature	NOUN
ejpam-6681	99	8	.	.	PUNCT
ejpam-6681	100	1	instead	instead	ADV
ejpam-6681	100	2	,	,	PUNCT
ejpam-6681	100	3	we	we	PRON
ejpam-6681	100	4	characterize	characterize	VERB
ejpam-6681	100	5	it	it	PRON
ejpam-6681	100	6	using	use	VERB
ejpam-6681	100	7	its	its	PRON
ejpam-6681	100	8	characteristic	characteristic	ADJ
ejpam-6681	100	9	function	function	NOUN
ejpam-6681	100	10	,	,	PUNCT
ejpam-6681	100	11	which	which	PRON
ejpam-6681	100	12	always	always	ADV
ejpam-6681	100	13	exists	exist	VERB
ejpam-6681	100	14	.	.	PUNCT
ejpam-6681	101	1	the	the	DET
ejpam-6681	101	2	characteristic	characteristic	ADJ
ejpam-6681	101	3	function	function	NOUN
ejpam-6681	101	4	is	be	AUX
ejpam-6681	101	5	defined	define	VERB
ejpam-6681	101	6	as	as	ADP
ejpam-6681	101	7	qx(t	qx(t	NOUN
ejpam-6681	101	8	)	)	PUNCT
ejpam-6681	101	9	=	=	SYM
ejpam-6681	101	10	e(eitx	e(eitx	NOUN
ejpam-6681	101	11	)	)	PUNCT
ejpam-6681	101	12	=	=	SYM
ejpam-6681	102	1	∫	∫	PROPN
ejpam-6681	103	1	∞	∞	PROPN
ejpam-6681	103	2	−∞	−∞	ADP
ejpam-6681	103	3	eitxg(x	eitxg(x	NOUN
ejpam-6681	103	4	)	)	PUNCT
ejpam-6681	103	5	dx	dx	PROPN
ejpam-6681	104	1	=	=	SYM
ejpam-6681	104	2	3αθ	3αθ	NOUN
ejpam-6681	104	3	∫	∫	PROPN
ejpam-6681	104	4	∞	∞	NUM
ejpam-6681	104	5	0	0	NUM
ejpam-6681	104	6	eitx	eitx	NOUN
ejpam-6681	104	7	[	[	PUNCT
ejpam-6681	104	8	xα−1(1	xα−1(1	PROPN
ejpam-6681	104	9	+	+	CCONJ
ejpam-6681	104	10	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	104	11	−	−	PROPN
ejpam-6681	104	12	1	1	NUM
ejpam-6681	104	13	2	2	NUM
ejpam-6681	104	14	xα−1(1	xα−1(1	PUNCT
ejpam-6681	104	15	+	+	CCONJ
ejpam-6681	104	16	xα)−3θ−1	xα)−3θ−1	PROPN
ejpam-6681	104	17	]	]	PUNCT
ejpam-6681	104	18	dx	dx	PROPN
ejpam-6681	104	19	,	,	PUNCT
ejpam-6681	104	20	where	where	SCONJ
ejpam-6681	104	21	i	i	PRON
ejpam-6681	104	22	is	be	AUX
ejpam-6681	104	23	the	the	DET
ejpam-6681	104	24	imaginary	imaginary	ADJ
ejpam-6681	104	25	unit	unit	NOUN
ejpam-6681	104	26	.	.	PUNCT
ejpam-6681	105	1	although	although	SCONJ
ejpam-6681	105	2	this	this	DET
ejpam-6681	105	3	integral	integral	NOUN
ejpam-6681	105	4	does	do	AUX
ejpam-6681	105	5	not	not	PART
ejpam-6681	105	6	admit	admit	VERB
ejpam-6681	105	7	a	a	DET
ejpam-6681	105	8	closed	close	VERB
ejpam-6681	105	9	-	-	PUNCT
ejpam-6681	105	10	form	form	NOUN
ejpam-6681	105	11	solution	solution	NOUN
ejpam-6681	105	12	in	in	ADP
ejpam-6681	105	13	terms	term	NOUN
ejpam-6681	105	14	of	of	ADP
ejpam-6681	105	15	elementary	elementary	ADJ
ejpam-6681	105	16	functions	function	NOUN
ejpam-6681	105	17	,	,	PUNCT
ejpam-6681	105	18	it	it	PRON
ejpam-6681	105	19	can	can	AUX
ejpam-6681	105	20	be	be	AUX
ejpam-6681	105	21	expressed	express	VERB
ejpam-6681	105	22	using	use	VERB
ejpam-6681	105	23	special	special	ADJ
ejpam-6681	105	24	functions	function	NOUN
ejpam-6681	105	25	or	or	CCONJ
ejpam-6681	105	26	evaluated	evaluate	VERB
ejpam-6681	105	27	numerically	numerically	ADV
ejpam-6681	105	28	for	for	ADP
ejpam-6681	105	29	inference	inference	NOUN
ejpam-6681	105	30	and	and	CCONJ
ejpam-6681	105	31	simulation	simulation	NOUN
ejpam-6681	105	32	purposes	purpose	NOUN
ejpam-6681	105	33	.	.	PUNCT
ejpam-6681	106	1	the	the	DET
ejpam-6681	106	2	moments	moment	NOUN
ejpam-6681	106	3	of	of	ADP
ejpam-6681	106	4	the	the	DET
ejpam-6681	106	5	distribution	distribution	NOUN
ejpam-6681	106	6	,	,	PUNCT
ejpam-6681	106	7	within	within	ADP
ejpam-6681	106	8	their	their	PRON
ejpam-6681	106	9	existence	existence	NOUN
ejpam-6681	106	10	domain	domain	NOUN
ejpam-6681	106	11	r	r	NOUN
ejpam-6681	106	12	<	<	X
ejpam-6681	106	13	2θα	2θα	NOUN
ejpam-6681	106	14	as	as	SCONJ
ejpam-6681	106	15	established	establish	VERB
ejpam-6681	106	16	in	in	ADP
ejpam-6681	106	17	theorem	theorem	ADJ
ejpam-6681	106	18	3.1	3.1	NUM
ejpam-6681	106	19	,	,	PUNCT
ejpam-6681	106	20	can	can	AUX
ejpam-6681	106	21	also	also	ADV
ejpam-6681	106	22	be	be	AUX
ejpam-6681	106	23	derived	derive	VERB
ejpam-6681	106	24	from	from	ADP
ejpam-6681	106	25	the	the	DET
ejpam-6681	106	26	characteristic	characteristic	ADJ
ejpam-6681	106	27	function	function	NOUN
ejpam-6681	106	28	.	.	PUNCT
ejpam-6681	107	1	5	5	X
ejpam-6681	107	2	.	.	X
ejpam-6681	107	3	reliability	reliability	NOUN
ejpam-6681	107	4	analysis	analysis	NOUN
ejpam-6681	107	5	the	the	DET
ejpam-6681	107	6	reliability	reliability	NOUN
ejpam-6681	107	7	function	function	NOUN
ejpam-6681	107	8	is	be	AUX
ejpam-6681	107	9	defined	define	VERB
ejpam-6681	107	10	as	as	ADP
ejpam-6681	107	11	:	:	PUNCT
ejpam-6681	107	12	r(t	r(t	NOUN
ejpam-6681	107	13	)	)	PUNCT
ejpam-6681	108	1	=	=	SYM
ejpam-6681	109	1	p	p	X
ejpam-6681	109	2	(	(	PUNCT
ejpam-6681	109	3	t	t	PROPN
ejpam-6681	109	4	≥	≥	PROPN
ejpam-6681	109	5	t	t	PROPN
ejpam-6681	109	6	)	)	PUNCT
ejpam-6681	109	7	=	=	SYM
ejpam-6681	109	8	1−g(t	1−g(t	NUM
ejpam-6681	109	9	)	)	PUNCT
ejpam-6681	109	10	for	for	ADP
ejpam-6681	109	11	the	the	DET
ejpam-6681	109	12	ebd	ebd	NOUN
ejpam-6681	109	13	:	:	PUNCT
ejpam-6681	109	14	r(t	r(t	NOUN
ejpam-6681	109	15	)	)	PUNCT
ejpam-6681	109	16	=	=	PUNCT
ejpam-6681	110	1	[	[	PUNCT
ejpam-6681	110	2	3	3	NUM
ejpam-6681	110	3	2	2	NUM
ejpam-6681	110	4	(	(	PUNCT
ejpam-6681	110	5	1	1	NUM
ejpam-6681	110	6	+	+	NUM
ejpam-6681	110	7	tα)−2θ	tα)−2θ	NOUN
ejpam-6681	110	8	−	−	NOUN
ejpam-6681	110	9	1	1	NUM
ejpam-6681	110	10	2	2	NUM
ejpam-6681	110	11	(	(	PUNCT
ejpam-6681	110	12	1	1	NUM
ejpam-6681	110	13	+	+	ADP
ejpam-6681	110	14	tα)−3θ	tα)−3θ	NOUN
ejpam-6681	110	15	]	]	X
ejpam-6681	110	16	the	the	DET
ejpam-6681	110	17	hazard	hazard	NOUN
ejpam-6681	110	18	rate	rate	NOUN
ejpam-6681	110	19	is	be	AUX
ejpam-6681	110	20	the	the	DET
ejpam-6681	110	21	probability	probability	NOUN
ejpam-6681	110	22	that	that	SCONJ
ejpam-6681	110	23	the	the	DET
ejpam-6681	110	24	life	life	NOUN
ejpam-6681	110	25	of	of	ADP
ejpam-6681	110	26	the	the	DET
ejpam-6681	110	27	item	item	NOUN
ejpam-6681	110	28	ends	end	VERB
ejpam-6681	110	29	in	in	ADP
ejpam-6681	110	30	the	the	DET
ejpam-6681	110	31	next	next	ADJ
ejpam-6681	110	32	moment	moment	NOUN
ejpam-6681	110	33	if	if	SCONJ
ejpam-6681	110	34	it	it	PRON
ejpam-6681	110	35	remains	remain	VERB
ejpam-6681	110	36	alive	alive	ADJ
ejpam-6681	110	37	till	till	SCONJ
ejpam-6681	110	38	time	time	NOUN
ejpam-6681	110	39	t.	t.	PROPN
ejpam-6681	110	40	it	it	PRON
ejpam-6681	110	41	is	be	AUX
ejpam-6681	110	42	defined	define	VERB
ejpam-6681	110	43	as	as	ADP
ejpam-6681	110	44	the	the	DET
ejpam-6681	110	45	ratio	ratio	NOUN
ejpam-6681	110	46	of	of	ADP
ejpam-6681	110	47	the	the	DET
ejpam-6681	110	48	pdf	pdf	NOUN
ejpam-6681	110	49	to	to	ADP
ejpam-6681	110	50	the	the	DET
ejpam-6681	110	51	reliability	reliability	NOUN
ejpam-6681	110	52	h(t	h(t	PROPN
ejpam-6681	110	53	)	)	PUNCT
ejpam-6681	110	54	=	=	SYM
ejpam-6681	110	55	g(t	g(t	NOUN
ejpam-6681	110	56	)	)	PUNCT
ejpam-6681	110	57	r(t	r(t	NOUN
ejpam-6681	110	58	)	)	PUNCT
ejpam-6681	110	59	which	which	PRON
ejpam-6681	110	60	simplifies	simplify	VERB
ejpam-6681	110	61	to	to	PART
ejpam-6681	110	62	:	:	PUNCT
ejpam-6681	110	63	h(t	h(t	X
ejpam-6681	110	64	)	)	PUNCT
ejpam-6681	110	65	=	=	PUNCT
ejpam-6681	111	1	6αθtα−1	6αθtα−1	NUM
ejpam-6681	111	2	1	1	NUM
ejpam-6681	112	1	+	+	CCONJ
ejpam-6681	112	2	tα	tα	PROPN
ejpam-6681	112	3	·	·	PUNCT
ejpam-6681	112	4	1−	1−	NUM
ejpam-6681	112	5	1	1	NUM
ejpam-6681	112	6	2(1	2(1	NUM
ejpam-6681	112	7	+	+	CCONJ
ejpam-6681	112	8	tα)−θ	tα)−θ	NOUN
ejpam-6681	112	9	3−	3−	NUM
ejpam-6681	112	10	(	(	PUNCT
ejpam-6681	112	11	1	1	NUM
ejpam-6681	112	12	+	+	NUM
ejpam-6681	112	13	tα)−θ	tα)−θ	NOUN
ejpam-6681	112	14	the	the	DET
ejpam-6681	112	15	ebd	ebd	NOUN
ejpam-6681	112	16	exhibits	exhibit	VERB
ejpam-6681	112	17	more	more	ADV
ejpam-6681	112	18	flexible	flexible	ADJ
ejpam-6681	112	19	hazard	hazard	NOUN
ejpam-6681	112	20	rate	rate	NOUN
ejpam-6681	112	21	shapes	shape	NOUN
ejpam-6681	112	22	compared	compare	VERB
ejpam-6681	112	23	to	to	ADP
ejpam-6681	112	24	the	the	DET
ejpam-6681	112	25	standard	standard	ADJ
ejpam-6681	112	26	burr	burr	NOUN
ejpam-6681	112	27	-	-	PUNCT
ejpam-6681	112	28	xii	xii	PROPN
ejpam-6681	112	29	.	.	PUNCT
ejpam-6681	113	1	while	while	SCONJ
ejpam-6681	113	2	both	both	DET
ejpam-6681	113	3	distributions	distribution	NOUN
ejpam-6681	113	4	can	can	AUX
ejpam-6681	113	5	capture	capture	VERB
ejpam-6681	113	6	increasing	increase	VERB
ejpam-6681	113	7	,	,	PUNCT
ejpam-6681	113	8	decreasing	decrease	VERB
ejpam-6681	113	9	,	,	PUNCT
ejpam-6681	113	10	and	and	CCONJ
ejpam-6681	113	11	bathtub	bathtub	ADV
ejpam-6681	113	12	-	-	PUNCT
ejpam-6681	113	13	shaped	shape	VERB
ejpam-6681	113	14	hazard	hazard	NOUN
ejpam-6681	113	15	n.	n.	PROPN
ejpam-6681	113	16	odat	odat	PROPN
ejpam-6681	113	17	et	et	PROPN
ejpam-6681	113	18	al	al	PROPN
ejpam-6681	113	19	.	.	PUNCT
ejpam-6681	113	20	/	/	SYM
ejpam-6681	113	21	eur	eur	PROPN
ejpam-6681	113	22	.	.	PUNCT
ejpam-6681	114	1	j.	j.	PROPN
ejpam-6681	114	2	pure	pure	PROPN
ejpam-6681	114	3	appl	appl	PROPN
ejpam-6681	114	4	.	.	PROPN
ejpam-6681	114	5	math	math	PROPN
ejpam-6681	114	6	,	,	PUNCT
ejpam-6681	114	7	18	18	NUM
ejpam-6681	114	8	(	(	PUNCT
ejpam-6681	114	9	4	4	NUM
ejpam-6681	114	10	)	)	PUNCT
ejpam-6681	114	11	(	(	PUNCT
ejpam-6681	114	12	2025	2025	NUM
ejpam-6681	114	13	)	)	PUNCT
ejpam-6681	114	14	,	,	PUNCT
ejpam-6681	114	15	6681	6681	NUM
ejpam-6681	114	16	6	6	NUM
ejpam-6681	114	17	of	of	ADP
ejpam-6681	114	18	15	15	NUM
ejpam-6681	114	19	rates	rate	NOUN
ejpam-6681	114	20	,	,	PUNCT
ejpam-6681	114	21	the	the	DET
ejpam-6681	114	22	ebd	ebd	PROPN
ejpam-6681	114	23	’s	’s	PART
ejpam-6681	114	24	modified	modify	VERB
ejpam-6681	114	25	structure	structure	NOUN
ejpam-6681	114	26	through	through	ADP
ejpam-6681	114	27	the	the	DET
ejpam-6681	114	28	epanechnikov	epanechnikov	NOUN
ejpam-6681	114	29	kernel	kernel	PROPN
ejpam-6681	114	30	allows	allow	VERB
ejpam-6681	114	31	for	for	ADP
ejpam-6681	114	32	smoother	smooth	ADJ
ejpam-6681	114	33	transitions	transition	NOUN
ejpam-6681	114	34	between	between	ADP
ejpam-6681	114	35	these	these	DET
ejpam-6681	114	36	phases	phase	NOUN
ejpam-6681	114	37	and	and	CCONJ
ejpam-6681	114	38	can	can	AUX
ejpam-6681	114	39	model	model	VERB
ejpam-6681	114	40	more	more	ADJ
ejpam-6681	114	41	complex	complex	ADJ
ejpam-6681	114	42	failure	failure	NOUN
ejpam-6681	114	43	patterns	pattern	NOUN
ejpam-6681	114	44	.	.	PUNCT
ejpam-6681	115	1	the	the	DET
ejpam-6681	115	2	additional	additional	ADJ
ejpam-6681	115	3	parameters	parameter	NOUN
ejpam-6681	115	4	introduced	introduce	VERB
ejpam-6681	115	5	by	by	ADP
ejpam-6681	115	6	the	the	DET
ejpam-6681	115	7	kernel	kernel	NOUN
ejpam-6681	115	8	provide	provide	VERB
ejpam-6681	115	9	enhanced	enhanced	ADJ
ejpam-6681	115	10	flexibility	flexibility	NOUN
ejpam-6681	115	11	in	in	ADP
ejpam-6681	115	12	capturing	capture	VERB
ejpam-6681	115	13	the	the	DET
ejpam-6681	115	14	instantaneous	instantaneous	ADJ
ejpam-6681	115	15	failure	failure	NOUN
ejpam-6681	115	16	rate	rate	NOUN
ejpam-6681	115	17	evolution	evolution	NOUN
ejpam-6681	115	18	over	over	ADP
ejpam-6681	115	19	time	time	NOUN
ejpam-6681	115	20	.	.	PUNCT
ejpam-6681	116	1	(	(	PUNCT
ejpam-6681	116	2	a	a	X
ejpam-6681	116	3	)	)	PUNCT
ejpam-6681	116	4	for	for	ADP
ejpam-6681	116	5	(	(	PUNCT
ejpam-6681	116	6	α	α	NOUN
ejpam-6681	116	7	,	,	PUNCT
ejpam-6681	116	8	θ	θ	NOUN
ejpam-6681	116	9	)	)	PUNCT
ejpam-6681	116	10	=	=	SYM
ejpam-6681	116	11	(	(	PUNCT
ejpam-6681	116	12	1	1	NUM
ejpam-6681	116	13	,	,	PUNCT
ejpam-6681	116	14	1	1	NUM
ejpam-6681	116	15	)	)	PUNCT
ejpam-6681	116	16	(	(	PUNCT
ejpam-6681	116	17	b	b	NOUN
ejpam-6681	116	18	)	)	PUNCT
ejpam-6681	116	19	for	for	ADP
ejpam-6681	116	20	(	(	PUNCT
ejpam-6681	116	21	α	α	NOUN
ejpam-6681	116	22	,	,	PUNCT
ejpam-6681	116	23	θ	θ	NOUN
ejpam-6681	116	24	)	)	PUNCT
ejpam-6681	116	25	=	=	SYM
ejpam-6681	116	26	(	(	PUNCT
ejpam-6681	116	27	2	2	NUM
ejpam-6681	116	28	,	,	PUNCT
ejpam-6681	116	29	1	1	NUM
ejpam-6681	116	30	)	)	PUNCT
ejpam-6681	116	31	(	(	PUNCT
ejpam-6681	116	32	c	c	X
ejpam-6681	116	33	)	)	PUNCT
ejpam-6681	116	34	for	for	ADP
ejpam-6681	116	35	(	(	PUNCT
ejpam-6681	116	36	α	α	NOUN
ejpam-6681	116	37	,	,	PUNCT
ejpam-6681	116	38	θ	θ	NOUN
ejpam-6681	116	39	)	)	PUNCT
ejpam-6681	116	40	=	=	SYM
ejpam-6681	116	41	(	(	PUNCT
ejpam-6681	116	42	2	2	NUM
ejpam-6681	116	43	,	,	PUNCT
ejpam-6681	116	44	2	2	NUM
ejpam-6681	116	45	)	)	PUNCT
ejpam-6681	116	46	figure	figure	NOUN
ejpam-6681	116	47	1	1	NUM
ejpam-6681	116	48	:	:	PUNCT
ejpam-6681	116	49	plots	plot	NOUN
ejpam-6681	116	50	for	for	ADP
ejpam-6681	116	51	the	the	DET
ejpam-6681	116	52	pdf	pdf	NOUN
ejpam-6681	116	53	for	for	ADP
ejpam-6681	116	54	different	different	ADJ
ejpam-6681	116	55	values	value	NOUN
ejpam-6681	116	56	of	of	ADP
ejpam-6681	116	57	θ	θ	PROPN
ejpam-6681	116	58	and	and	CCONJ
ejpam-6681	116	59	α	α	PRON
ejpam-6681	116	60	figure	figure	NOUN
ejpam-6681	116	61	1	1	NUM
ejpam-6681	116	62	illustrates	illustrate	VERB
ejpam-6681	116	63	the	the	DET
ejpam-6681	116	64	shape	shape	NOUN
ejpam-6681	116	65	of	of	ADP
ejpam-6681	116	66	the	the	DET
ejpam-6681	116	67	probability	probability	NOUN
ejpam-6681	116	68	density	density	NOUN
ejpam-6681	116	69	function	function	VERB
ejpam-6681	116	70	g(x	g(x	NOUN
ejpam-6681	116	71	)	)	PUNCT
ejpam-6681	116	72	for	for	ADP
ejpam-6681	116	73	various	various	ADJ
ejpam-6681	116	74	combinations	combination	NOUN
ejpam-6681	116	75	of	of	ADP
ejpam-6681	116	76	α	α	PROPN
ejpam-6681	116	77	and	and	CCONJ
ejpam-6681	116	78	θ	θ	PROPN
ejpam-6681	116	79	.	.	PUNCT
ejpam-6681	117	1	the	the	DET
ejpam-6681	117	2	plots	plot	NOUN
ejpam-6681	117	3	demonstrate	demonstrate	VERB
ejpam-6681	117	4	the	the	DET
ejpam-6681	117	5	flexibility	flexibility	NOUN
ejpam-6681	117	6	of	of	ADP
ejpam-6681	117	7	the	the	DET
ejpam-6681	117	8	ebd	ebd	NOUN
ejpam-6681	117	9	in	in	ADP
ejpam-6681	117	10	capturing	capture	VERB
ejpam-6681	117	11	different	different	ADJ
ejpam-6681	117	12	distributional	distributional	ADJ
ejpam-6681	117	13	shapes	shape	NOUN
ejpam-6681	117	14	,	,	PUNCT
ejpam-6681	117	15	including	include	VERB
ejpam-6681	117	16	right	right	ADV
ejpam-6681	117	17	-	-	PUNCT
ejpam-6681	117	18	skewed	skewed	ADJ
ejpam-6681	117	19	,	,	PUNCT
ejpam-6681	117	20	heavy	heavy	ADJ
ejpam-6681	117	21	-	-	PUNCT
ejpam-6681	117	22	tailed	tail	VERB
ejpam-6681	117	23	,	,	PUNCT
ejpam-6681	117	24	and	and	CCONJ
ejpam-6681	117	25	nearly	nearly	ADV
ejpam-6681	117	26	symmetric	symmetric	ADJ
ejpam-6681	117	27	forms	form	NOUN
ejpam-6681	117	28	,	,	PUNCT
ejpam-6681	117	29	depending	depend	VERB
ejpam-6681	117	30	on	on	ADP
ejpam-6681	117	31	the	the	DET
ejpam-6681	117	32	parameter	parameter	NOUN
ejpam-6681	117	33	values	value	NOUN
ejpam-6681	117	34	.	.	PUNCT
ejpam-6681	118	1	this	this	DET
ejpam-6681	118	2	versatility	versatility	NOUN
ejpam-6681	118	3	makes	make	VERB
ejpam-6681	118	4	the	the	DET
ejpam-6681	118	5	ebd	ebd	NOUN
ejpam-6681	118	6	suitable	suitable	ADJ
ejpam-6681	118	7	for	for	ADP
ejpam-6681	118	8	modeling	model	VERB
ejpam-6681	118	9	diverse	diverse	ADJ
ejpam-6681	118	10	types	type	NOUN
ejpam-6681	118	11	of	of	ADP
ejpam-6681	118	12	lifetime	lifetime	NOUN
ejpam-6681	118	13	data	datum	NOUN
ejpam-6681	118	14	.	.	PUNCT
ejpam-6681	119	1	the	the	DET
ejpam-6681	119	2	cumulative	cumulative	ADJ
ejpam-6681	119	3	distribution	distribution	NOUN
ejpam-6681	119	4	function	function	NOUN
ejpam-6681	119	5	g(x	g(x	NOUN
ejpam-6681	119	6	)	)	PUNCT
ejpam-6681	119	7	is	be	AUX
ejpam-6681	119	8	displayed	display	VERB
ejpam-6681	119	9	for	for	ADP
ejpam-6681	119	10	several	several	ADJ
ejpam-6681	119	11	parameter	parameter	NOUN
ejpam-6681	119	12	settings	setting	NOUN
ejpam-6681	119	13	as	as	SCONJ
ejpam-6681	119	14	shown	show	VERB
ejpam-6681	119	15	in	in	ADP
ejpam-6681	119	16	figure	figure	NOUN
ejpam-6681	119	17	2	2	NUM
ejpam-6681	119	18	.	.	PUNCT
ejpam-6681	120	1	the	the	DET
ejpam-6681	120	2	curves	curve	NOUN
ejpam-6681	120	3	show	show	VERB
ejpam-6681	120	4	the	the	DET
ejpam-6681	120	5	probability	probability	NOUN
ejpam-6681	120	6	that	that	SCONJ
ejpam-6681	120	7	a	a	DET
ejpam-6681	120	8	random	random	ADJ
ejpam-6681	120	9	variable	variable	NOUN
ejpam-6681	120	10	x	x	PRON
ejpam-6681	120	11	takes	take	VERB
ejpam-6681	120	12	a	a	DET
ejpam-6681	120	13	value	value	NOUN
ejpam-6681	120	14	less	less	ADJ
ejpam-6681	120	15	than	than	ADP
ejpam-6681	120	16	or	or	CCONJ
ejpam-6681	120	17	equal	equal	ADJ
ejpam-6681	120	18	to	to	PART
ejpam-6681	120	19	x.	x.	VERB
ejpam-6681	120	20	the	the	DET
ejpam-6681	120	21	smooth	smooth	ADJ
ejpam-6681	120	22	and	and	CCONJ
ejpam-6681	120	23	monotonically	monotonically	ADV
ejpam-6681	120	24	increasing	increase	VERB
ejpam-6681	120	25	nature	nature	NOUN
ejpam-6681	120	26	of	of	ADP
ejpam-6681	120	27	the	the	DET
ejpam-6681	120	28	cdf	cdf	PROPN
ejpam-6681	120	29	curves	curve	NOUN
ejpam-6681	120	30	confirms	confirm	VERB
ejpam-6681	120	31	the	the	DET
ejpam-6681	120	32	validity	validity	NOUN
ejpam-6681	120	33	of	of	ADP
ejpam-6681	120	34	the	the	DET
ejpam-6681	120	35	ebd	ebd	PROPN
ejpam-6681	120	36	as	as	ADP
ejpam-6681	120	37	a	a	DET
ejpam-6681	120	38	proper	proper	ADJ
ejpam-6681	120	39	distribution	distribution	NOUN
ejpam-6681	120	40	function	function	NOUN
ejpam-6681	120	41	.	.	PUNCT
ejpam-6681	121	1	the	the	DET
ejpam-6681	121	2	varying	vary	VERB
ejpam-6681	121	3	rates	rate	NOUN
ejpam-6681	121	4	of	of	ADP
ejpam-6681	121	5	increase	increase	NOUN
ejpam-6681	121	6	reflect	reflect	VERB
ejpam-6681	121	7	the	the	DET
ejpam-6681	121	8	influence	influence	NOUN
ejpam-6681	121	9	of	of	ADP
ejpam-6681	121	10	different	different	ADJ
ejpam-6681	121	11	parameter	parameter	NOUN
ejpam-6681	121	12	values	value	NOUN
ejpam-6681	121	13	on	on	ADP
ejpam-6681	121	14	the	the	DET
ejpam-6681	121	15	distribution	distribution	NOUN
ejpam-6681	121	16	’s	’s	PART
ejpam-6681	121	17	spread	spread	NOUN
ejpam-6681	121	18	and	and	CCONJ
ejpam-6681	121	19	tail	tail	NOUN
ejpam-6681	121	20	behavior	behavior	NOUN
ejpam-6681	121	21	.	.	PUNCT
ejpam-6681	122	1	figure	figure	VERB
ejpam-6681	122	2	3	3	NUM
ejpam-6681	122	3	presents	present	VERB
ejpam-6681	122	4	the	the	DET
ejpam-6681	122	5	reliability	reliability	NOUN
ejpam-6681	122	6	(	(	PUNCT
ejpam-6681	122	7	or	or	CCONJ
ejpam-6681	122	8	survival	survival	NOUN
ejpam-6681	122	9	)	)	PUNCT
ejpam-6681	122	10	function	function	NOUN
ejpam-6681	122	11	,	,	PUNCT
ejpam-6681	122	12	which	which	PRON
ejpam-6681	122	13	gives	give	VERB
ejpam-6681	122	14	the	the	DET
ejpam-6681	122	15	probability	probability	NOUN
ejpam-6681	122	16	that	that	SCONJ
ejpam-6681	122	17	an	an	DET
ejpam-6681	122	18	item	item	NOUN
ejpam-6681	122	19	survives	survive	VERB
ejpam-6681	122	20	beyond	beyond	ADP
ejpam-6681	122	21	time	time	NOUN
ejpam-6681	122	22	t.	t.	NOUN
ejpam-6681	122	23	the	the	DET
ejpam-6681	122	24	declining	decline	VERB
ejpam-6681	122	25	trends	trend	NOUN
ejpam-6681	122	26	of	of	ADP
ejpam-6681	122	27	r(t	r(t	NOUN
ejpam-6681	122	28	)	)	PUNCT
ejpam-6681	122	29	across	across	ADP
ejpam-6681	122	30	different	different	ADJ
ejpam-6681	122	31	parameter	parameter	NOUN
ejpam-6681	122	32	combinations	combination	NOUN
ejpam-6681	122	33	highlight	highlight	VERB
ejpam-6681	122	34	the	the	DET
ejpam-6681	122	35	distribution	distribution	NOUN
ejpam-6681	122	36	’s	’s	PART
ejpam-6681	122	37	applicability	applicability	NOUN
ejpam-6681	122	38	in	in	ADP
ejpam-6681	122	39	reliability	reliability	NOUN
ejpam-6681	122	40	engineering	engineering	NOUN
ejpam-6681	122	41	and	and	CCONJ
ejpam-6681	122	42	survival	survival	NOUN
ejpam-6681	122	43	analysis	analysis	NOUN
ejpam-6681	122	44	.	.	PUNCT
ejpam-6681	123	1	the	the	DET
ejpam-6681	123	2	rate	rate	NOUN
ejpam-6681	123	3	of	of	ADP
ejpam-6681	123	4	decrease	decrease	NOUN
ejpam-6681	123	5	varies	vary	VERB
ejpam-6681	123	6	with	with	ADP
ejpam-6681	123	7	α	α	PROPN
ejpam-6681	123	8	and	and	CCONJ
ejpam-6681	123	9	θ	θ	PROPN
ejpam-6681	123	10	,	,	PUNCT
ejpam-6681	123	11	indicating	indicate	VERB
ejpam-6681	123	12	how	how	SCONJ
ejpam-6681	123	13	these	these	DET
ejpam-6681	123	14	parameters	parameter	NOUN
ejpam-6681	123	15	influence	influence	VERB
ejpam-6681	123	16	the	the	DET
ejpam-6681	123	17	lifetime	lifetime	NOUN
ejpam-6681	123	18	characteristics	characteristic	NOUN
ejpam-6681	123	19	.	.	PUNCT
ejpam-6681	124	1	n.	n.	PROPN
ejpam-6681	124	2	odat	odat	PROPN
ejpam-6681	124	3	et	et	PROPN
ejpam-6681	124	4	al	al	PROPN
ejpam-6681	124	5	.	.	PUNCT
ejpam-6681	124	6	/	/	SYM
ejpam-6681	124	7	eur	eur	PROPN
ejpam-6681	124	8	.	.	PUNCT
ejpam-6681	125	1	j.	j.	PROPN
ejpam-6681	125	2	pure	pure	PROPN
ejpam-6681	125	3	appl	appl	PROPN
ejpam-6681	125	4	.	.	PROPN
ejpam-6681	125	5	math	math	PROPN
ejpam-6681	125	6	,	,	PUNCT
ejpam-6681	125	7	18	18	NUM
ejpam-6681	125	8	(	(	PUNCT
ejpam-6681	125	9	4	4	NUM
ejpam-6681	125	10	)	)	PUNCT
ejpam-6681	125	11	(	(	PUNCT
ejpam-6681	125	12	2025	2025	NUM
ejpam-6681	125	13	)	)	PUNCT
ejpam-6681	125	14	,	,	PUNCT
ejpam-6681	125	15	6681	6681	NUM
ejpam-6681	125	16	7	7	NUM
ejpam-6681	125	17	of	of	ADP
ejpam-6681	125	18	15	15	NUM
ejpam-6681	125	19	(	(	PUNCT
ejpam-6681	125	20	a	a	NOUN
ejpam-6681	125	21	)	)	PUNCT
ejpam-6681	125	22	for	for	ADP
ejpam-6681	125	23	(	(	PUNCT
ejpam-6681	125	24	α	α	NOUN
ejpam-6681	125	25	,	,	PUNCT
ejpam-6681	125	26	θ	θ	NOUN
ejpam-6681	125	27	)	)	PUNCT
ejpam-6681	125	28	=	=	SYM
ejpam-6681	125	29	(	(	PUNCT
ejpam-6681	125	30	1	1	NUM
ejpam-6681	125	31	,	,	PUNCT
ejpam-6681	125	32	1	1	NUM
ejpam-6681	125	33	)	)	PUNCT
ejpam-6681	125	34	(	(	PUNCT
ejpam-6681	125	35	b	b	NOUN
ejpam-6681	125	36	)	)	PUNCT
ejpam-6681	125	37	for	for	ADP
ejpam-6681	125	38	(	(	PUNCT
ejpam-6681	125	39	α	α	NOUN
ejpam-6681	125	40	,	,	PUNCT
ejpam-6681	125	41	θ	θ	NOUN
ejpam-6681	125	42	)	)	PUNCT
ejpam-6681	125	43	=	=	SYM
ejpam-6681	125	44	(	(	PUNCT
ejpam-6681	125	45	2	2	NUM
ejpam-6681	125	46	,	,	PUNCT
ejpam-6681	125	47	1	1	NUM
ejpam-6681	125	48	)	)	PUNCT
ejpam-6681	125	49	(	(	PUNCT
ejpam-6681	125	50	c	c	X
ejpam-6681	125	51	)	)	PUNCT
ejpam-6681	125	52	for	for	ADP
ejpam-6681	125	53	(	(	PUNCT
ejpam-6681	125	54	α	α	NOUN
ejpam-6681	125	55	,	,	PUNCT
ejpam-6681	125	56	θ	θ	NOUN
ejpam-6681	125	57	)	)	PUNCT
ejpam-6681	125	58	=	=	SYM
ejpam-6681	125	59	(	(	PUNCT
ejpam-6681	125	60	2	2	NUM
ejpam-6681	125	61	,	,	PUNCT
ejpam-6681	125	62	2	2	NUM
ejpam-6681	125	63	)	)	PUNCT
ejpam-6681	125	64	figure	figure	NOUN
ejpam-6681	125	65	2	2	NUM
ejpam-6681	125	66	:	:	PUNCT
ejpam-6681	125	67	plots	plot	NOUN
ejpam-6681	125	68	for	for	ADP
ejpam-6681	125	69	the	the	DET
ejpam-6681	125	70	pdf	pdf	NOUN
ejpam-6681	125	71	for	for	ADP
ejpam-6681	125	72	different	different	ADJ
ejpam-6681	125	73	values	value	NOUN
ejpam-6681	125	74	of	of	ADP
ejpam-6681	125	75	θ	θ	PROPN
ejpam-6681	125	76	and	and	CCONJ
ejpam-6681	125	77	α	α	NOUN
ejpam-6681	125	78	from	from	ADP
ejpam-6681	125	79	figure	figure	NOUN
ejpam-6681	125	80	4	4	NUM
ejpam-6681	125	81	,	,	PUNCT
ejpam-6681	125	82	the	the	DET
ejpam-6681	125	83	hazard	hazard	NOUN
ejpam-6681	125	84	rate	rate	NOUN
ejpam-6681	125	85	function	function	NOUN
ejpam-6681	125	86	,	,	PUNCT
ejpam-6681	125	87	which	which	PRON
ejpam-6681	125	88	represents	represent	VERB
ejpam-6681	125	89	the	the	DET
ejpam-6681	125	90	instantaneous	instantaneous	ADJ
ejpam-6681	125	91	failure	failure	NOUN
ejpam-6681	125	92	rate	rate	NOUN
ejpam-6681	125	93	at	at	ADP
ejpam-6681	125	94	time	time	NOUN
ejpam-6681	125	95	t	t	PROPN
ejpam-6681	125	96	,	,	PUNCT
ejpam-6681	125	97	is	be	AUX
ejpam-6681	125	98	plotted	plot	VERB
ejpam-6681	125	99	for	for	ADP
ejpam-6681	125	100	various	various	ADJ
ejpam-6681	125	101	parameter	parameter	NOUN
ejpam-6681	125	102	values	value	NOUN
ejpam-6681	125	103	.	.	PUNCT
ejpam-6681	126	1	the	the	DET
ejpam-6681	126	2	shapes	shape	NOUN
ejpam-6681	126	3	of	of	ADP
ejpam-6681	126	4	the	the	DET
ejpam-6681	126	5	hazard	hazard	NOUN
ejpam-6681	126	6	curves	curve	NOUN
ejpam-6681	126	7	,	,	PUNCT
ejpam-6681	126	8	including	include	VERB
ejpam-6681	126	9	increasing	increase	VERB
ejpam-6681	126	10	,	,	PUNCT
ejpam-6681	126	11	decreasing	decreasing	NOUN
ejpam-6681	126	12	,	,	PUNCT
ejpam-6681	126	13	and	and	CCONJ
ejpam-6681	126	14	upside	upside	ADV
ejpam-6681	126	15	-	-	PUNCT
ejpam-6681	126	16	down	down	ADP
ejpam-6681	126	17	bathtub	bathtub	NOUN
ejpam-6681	126	18	forms	form	NOUN
ejpam-6681	126	19	,	,	PUNCT
ejpam-6681	126	20	demonstrate	demonstrate	VERB
ejpam-6681	126	21	the	the	DET
ejpam-6681	126	22	ebd	ebd	NOUN
ejpam-6681	126	23	’s	’s	PART
ejpam-6681	126	24	ability	ability	NOUN
ejpam-6681	126	25	to	to	PART
ejpam-6681	126	26	model	model	VERB
ejpam-6681	126	27	a	a	DET
ejpam-6681	126	28	wide	wide	ADJ
ejpam-6681	126	29	range	range	NOUN
ejpam-6681	126	30	of	of	ADP
ejpam-6681	126	31	failure	failure	NOUN
ejpam-6681	126	32	patterns	pattern	NOUN
ejpam-6681	126	33	commonly	commonly	ADV
ejpam-6681	126	34	observed	observe	VERB
ejpam-6681	126	35	in	in	ADP
ejpam-6681	126	36	real	real	ADJ
ejpam-6681	126	37	-	-	PUNCT
ejpam-6681	126	38	world	world	NOUN
ejpam-6681	126	39	systems	system	NOUN
ejpam-6681	126	40	.	.	PUNCT
ejpam-6681	127	1	this	this	DET
ejpam-6681	127	2	flexibility	flexibility	NOUN
ejpam-6681	127	3	enhances	enhance	VERB
ejpam-6681	127	4	the	the	DET
ejpam-6681	127	5	distribution	distribution	NOUN
ejpam-6681	127	6	’s	’s	PART
ejpam-6681	127	7	utility	utility	NOUN
ejpam-6681	127	8	in	in	ADP
ejpam-6681	127	9	reliability	reliability	NOUN
ejpam-6681	127	10	modeling	modeling	NOUN
ejpam-6681	127	11	and	and	CCONJ
ejpam-6681	127	12	risk	risk	NOUN
ejpam-6681	127	13	analysis	analysis	NOUN
ejpam-6681	127	14	.	.	PUNCT
ejpam-6681	128	1	6	6	X
ejpam-6681	128	2	.	.	X
ejpam-6681	128	3	order	order	NOUN
ejpam-6681	128	4	statistics	statistic	NOUN
ejpam-6681	128	5	let	let	VERB
ejpam-6681	128	6	x1	x1	NUM
ejpam-6681	128	7	,	,	PUNCT
ejpam-6681	128	8	x2	x2	PROPN
ejpam-6681	128	9	,	,	PUNCT
ejpam-6681	128	10	.	.	PUNCT
ejpam-6681	128	11	.	.	PUNCT
ejpam-6681	129	1	.	.	PUNCT
ejpam-6681	130	1	,	,	PUNCT
ejpam-6681	130	2	xn	xn	PROPN
ejpam-6681	130	3	be	be	AUX
ejpam-6681	130	4	a	a	DET
ejpam-6681	130	5	random	random	ADJ
ejpam-6681	130	6	sample	sample	NOUN
ejpam-6681	130	7	of	of	ADP
ejpam-6681	130	8	size	size	NOUN
ejpam-6681	130	9	n	n	CCONJ
ejpam-6681	130	10	from	from	ADP
ejpam-6681	130	11	the	the	DET
ejpam-6681	130	12	ebd	ebd	PROPN
ejpam-6681	130	13	(	(	PUNCT
ejpam-6681	130	14	equation	equation	NOUN
ejpam-6681	130	15	2	2	NUM
ejpam-6681	130	16	)	)	PUNCT
ejpam-6681	130	17	,	,	PUNCT
ejpam-6681	130	18	and	and	CCONJ
ejpam-6681	130	19	let	let	VERB
ejpam-6681	130	20	x(1	x(1	PROPN
ejpam-6681	130	21	)	)	PUNCT
ejpam-6681	130	22	≤	≤	PUNCT
ejpam-6681	131	1	x(2	x(2	PROPN
ejpam-6681	131	2	)	)	PUNCT
ejpam-6681	131	3	≤	≤	NOUN
ejpam-6681	131	4	·	·	PUNCT
ejpam-6681	131	5	·	·	PUNCT
ejpam-6681	131	6	·	·	PUNCT
ejpam-6681	132	1	≤	≤	NUM
ejpam-6681	132	2	x(n	x(n	NOUN
ejpam-6681	132	3	)	)	PUNCT
ejpam-6681	132	4	be	be	VERB
ejpam-6681	132	5	the	the	DET
ejpam-6681	132	6	ordered	order	VERB
ejpam-6681	132	7	statistics	statistic	NOUN
ejpam-6681	132	8	,	,	PUNCT
ejpam-6681	132	9	where	where	SCONJ
ejpam-6681	132	10	x(1	x(1	PROPN
ejpam-6681	132	11	)	)	PUNCT
ejpam-6681	132	12	=	=	PUNCT
ejpam-6681	133	1	min(x1	min(x1	PROPN
ejpam-6681	133	2	,	,	PUNCT
ejpam-6681	133	3	x2	x2	PROPN
ejpam-6681	133	4	,	,	PUNCT
ejpam-6681	133	5	.	.	PUNCT
ejpam-6681	133	6	.	.	PUNCT
ejpam-6681	133	7	.	.	PUNCT
ejpam-6681	134	1	,	,	PUNCT
ejpam-6681	134	2	xn	xn	PROPN
ejpam-6681	134	3	)	)	PUNCT
ejpam-6681	134	4	,	,	PUNCT
ejpam-6681	134	5	x(i	x(i	PROPN
ejpam-6681	134	6	)	)	PUNCT
ejpam-6681	134	7	is	be	AUX
ejpam-6681	134	8	the	the	DET
ejpam-6681	134	9	ith	ith	PROPN
ejpam-6681	134	10	ordered	order	VERB
ejpam-6681	134	11	statistic	statistic	NOUN
ejpam-6681	134	12	(	(	PUNCT
ejpam-6681	134	13	i	i	NOUN
ejpam-6681	134	14	=	=	NOUN
ejpam-6681	134	15	1	1	NUM
ejpam-6681	134	16	,	,	PUNCT
ejpam-6681	134	17	.	.	PUNCT
ejpam-6681	134	18	.	.	PUNCT
ejpam-6681	135	1	.	.	PUNCT
ejpam-6681	135	2	,	,	PUNCT
ejpam-6681	136	1	n	n	CCONJ
ejpam-6681	136	2	)	)	PUNCT
ejpam-6681	137	1	,	,	PUNCT
ejpam-6681	137	2	x(n	x(n	PROPN
ejpam-6681	137	3	)	)	PUNCT
ejpam-6681	137	4	=	=	PUNCT
ejpam-6681	138	1	max(x1	max(x1	PROPN
ejpam-6681	138	2	,	,	PUNCT
ejpam-6681	138	3	x2	x2	PROPN
ejpam-6681	138	4	,	,	PUNCT
ejpam-6681	138	5	.	.	PUNCT
ejpam-6681	138	6	.	.	PUNCT
ejpam-6681	138	7	.	.	PUNCT
ejpam-6681	139	1	,	,	PUNCT
ejpam-6681	139	2	xn	xn	PROPN
ejpam-6681	139	3	)	)	PUNCT
ejpam-6681	139	4	.	.	PUNCT
ejpam-6681	140	1	then	then	ADV
ejpam-6681	140	2	,	,	PUNCT
ejpam-6681	140	3	the	the	DET
ejpam-6681	140	4	probability	probability	NOUN
ejpam-6681	140	5	density	density	NOUN
ejpam-6681	140	6	function	function	NOUN
ejpam-6681	140	7	(	(	PUNCT
ejpam-6681	140	8	pdf	pdf	NOUN
ejpam-6681	140	9	)	)	PUNCT
ejpam-6681	140	10	of	of	ADP
ejpam-6681	140	11	x(i	x(i	PROPN
ejpam-6681	140	12	)	)	PUNCT
ejpam-6681	140	13	for	for	ADP
ejpam-6681	140	14	1	1	NUM
ejpam-6681	140	15	<	<	X
ejpam-6681	140	16	i	i	PRON
ejpam-6681	140	17	<	<	X
ejpam-6681	140	18	n	n	VERB
ejpam-6681	140	19	is	be	AUX
ejpam-6681	140	20	given	give	VERB
ejpam-6681	140	21	by	by	ADP
ejpam-6681	140	22	gi(x	gi(x	PROPN
ejpam-6681	140	23	)	)	PUNCT
ejpam-6681	140	24	=	=	SYM
ejpam-6681	140	25	n	n	X
ejpam-6681	140	26	!	!	PUNCT
ejpam-6681	141	1	(	(	PUNCT
ejpam-6681	141	2	i−	i−	PROPN
ejpam-6681	141	3	1)!(n−	1)!(n−	NUM
ejpam-6681	141	4	i	i	NOUN
ejpam-6681	141	5	)	)	PUNCT
ejpam-6681	141	6	!	!	PUNCT
ejpam-6681	142	1	g(x)[g(x)]i−1[1−g(x)]n−i	g(x)[g(x)]i−1[1−g(x)]n−i	PROPN
ejpam-6681	142	2	,	,	PUNCT
ejpam-6681	142	3	n.	n.	NOUN
ejpam-6681	142	4	odat	odat	NOUN
ejpam-6681	142	5	et	et	PROPN
ejpam-6681	142	6	al	al	PROPN
ejpam-6681	142	7	.	.	PUNCT
ejpam-6681	142	8	/	/	SYM
ejpam-6681	142	9	eur	eur	PROPN
ejpam-6681	142	10	.	.	PUNCT
ejpam-6681	143	1	j.	j.	PROPN
ejpam-6681	143	2	pure	pure	PROPN
ejpam-6681	143	3	appl	appl	PROPN
ejpam-6681	143	4	.	.	PROPN
ejpam-6681	143	5	math	math	PROPN
ejpam-6681	143	6	,	,	PUNCT
ejpam-6681	143	7	18	18	NUM
ejpam-6681	143	8	(	(	PUNCT
ejpam-6681	143	9	4	4	NUM
ejpam-6681	143	10	)	)	PUNCT
ejpam-6681	143	11	(	(	PUNCT
ejpam-6681	143	12	2025	2025	NUM
ejpam-6681	143	13	)	)	PUNCT
ejpam-6681	143	14	,	,	PUNCT
ejpam-6681	143	15	6681	6681	NUM
ejpam-6681	143	16	8	8	NUM
ejpam-6681	143	17	of	of	ADP
ejpam-6681	143	18	15	15	NUM
ejpam-6681	143	19	(	(	PUNCT
ejpam-6681	143	20	a	a	NOUN
ejpam-6681	143	21	)	)	PUNCT
ejpam-6681	143	22	for	for	ADP
ejpam-6681	143	23	(	(	PUNCT
ejpam-6681	143	24	α	α	NOUN
ejpam-6681	143	25	,	,	PUNCT
ejpam-6681	143	26	θ	θ	NOUN
ejpam-6681	143	27	)	)	PUNCT
ejpam-6681	143	28	=	=	SYM
ejpam-6681	143	29	(	(	PUNCT
ejpam-6681	143	30	1	1	NUM
ejpam-6681	143	31	,	,	PUNCT
ejpam-6681	143	32	1	1	NUM
ejpam-6681	143	33	)	)	PUNCT
ejpam-6681	143	34	(	(	PUNCT
ejpam-6681	143	35	b	b	NOUN
ejpam-6681	143	36	)	)	PUNCT
ejpam-6681	143	37	for	for	ADP
ejpam-6681	143	38	(	(	PUNCT
ejpam-6681	143	39	α	α	NOUN
ejpam-6681	143	40	,	,	PUNCT
ejpam-6681	143	41	θ	θ	NOUN
ejpam-6681	143	42	)	)	PUNCT
ejpam-6681	143	43	=	=	SYM
ejpam-6681	143	44	(	(	PUNCT
ejpam-6681	143	45	2	2	NUM
ejpam-6681	143	46	,	,	PUNCT
ejpam-6681	143	47	1	1	X
ejpam-6681	143	48	)	)	PUNCT
ejpam-6681	143	49	figure	figure	NOUN
ejpam-6681	143	50	3	3	NUM
ejpam-6681	143	51	:	:	PUNCT
ejpam-6681	143	52	plots	plot	NOUN
ejpam-6681	143	53	for	for	ADP
ejpam-6681	143	54	the	the	DET
ejpam-6681	143	55	reliability	reliability	NOUN
ejpam-6681	143	56	for	for	ADP
ejpam-6681	143	57	different	different	ADJ
ejpam-6681	143	58	values	value	NOUN
ejpam-6681	143	59	of	of	ADP
ejpam-6681	143	60	θ	θ	PROPN
ejpam-6681	143	61	and	and	CCONJ
ejpam-6681	143	62	α	α	PROPN
ejpam-6681	143	63	(	(	PUNCT
ejpam-6681	143	64	a	a	NOUN
ejpam-6681	143	65	)	)	PUNCT
ejpam-6681	143	66	for	for	ADP
ejpam-6681	143	67	(	(	PUNCT
ejpam-6681	143	68	α	α	NOUN
ejpam-6681	143	69	,	,	PUNCT
ejpam-6681	143	70	θ	θ	NOUN
ejpam-6681	143	71	)	)	PUNCT
ejpam-6681	143	72	=	=	SYM
ejpam-6681	143	73	(	(	PUNCT
ejpam-6681	143	74	1	1	NUM
ejpam-6681	143	75	,	,	PUNCT
ejpam-6681	143	76	1	1	NUM
ejpam-6681	143	77	)	)	PUNCT
ejpam-6681	143	78	(	(	PUNCT
ejpam-6681	143	79	b	b	NOUN
ejpam-6681	143	80	)	)	PUNCT
ejpam-6681	143	81	for	for	ADP
ejpam-6681	143	82	(	(	PUNCT
ejpam-6681	143	83	α	α	NOUN
ejpam-6681	143	84	,	,	PUNCT
ejpam-6681	143	85	θ	θ	NOUN
ejpam-6681	143	86	)	)	PUNCT
ejpam-6681	143	87	=	=	SYM
ejpam-6681	143	88	(	(	PUNCT
ejpam-6681	143	89	2	2	NUM
ejpam-6681	143	90	,	,	PUNCT
ejpam-6681	143	91	1	1	X
ejpam-6681	143	92	)	)	PUNCT
ejpam-6681	143	93	figure	figure	NOUN
ejpam-6681	143	94	4	4	NUM
ejpam-6681	143	95	:	:	PUNCT
ejpam-6681	143	96	plots	plot	NOUN
ejpam-6681	143	97	for	for	ADP
ejpam-6681	143	98	the	the	DET
ejpam-6681	143	99	hazard	hazard	NOUN
ejpam-6681	143	100	rate	rate	NOUN
ejpam-6681	143	101	for	for	ADP
ejpam-6681	143	102	different	different	ADJ
ejpam-6681	143	103	values	value	NOUN
ejpam-6681	143	104	of	of	ADP
ejpam-6681	143	105	θ	θ	PROPN
ejpam-6681	143	106	and	and	CCONJ
ejpam-6681	143	107	α	α	PROPN
ejpam-6681	143	108	while	while	SCONJ
ejpam-6681	143	109	the	the	DET
ejpam-6681	143	110	pdfs	pdfs	NOUN
ejpam-6681	143	111	of	of	ADP
ejpam-6681	143	112	the	the	DET
ejpam-6681	143	113	minimum	minimum	NOUN
ejpam-6681	143	114	x(1	x(1	PROPN
ejpam-6681	143	115	)	)	PUNCT
ejpam-6681	143	116	and	and	CCONJ
ejpam-6681	143	117	maximum	maximum	ADJ
ejpam-6681	143	118	x(n	x(n	NOUN
ejpam-6681	143	119	)	)	PUNCT
ejpam-6681	143	120	are	be	AUX
ejpam-6681	143	121	g1(x	g1(x	NOUN
ejpam-6681	143	122	)	)	PUNCT
ejpam-6681	143	123	=	=	SYM
ejpam-6681	143	124	ng(x)[1−g(x)]n−1	ng(x)[1−g(x)]n−1	PROPN
ejpam-6681	143	125	,	,	PUNCT
ejpam-6681	143	126	gn(x	gn(x	PUNCT
ejpam-6681	143	127	)	)	PUNCT
ejpam-6681	143	128	=	=	PUNCT
ejpam-6681	144	1	ng(x)[g(x)]n−1	ng(x)[g(x)]n−1	X
ejpam-6681	144	2	.	.	PUNCT
ejpam-6681	144	3	substituting	substitute	VERB
ejpam-6681	144	4	the	the	DET
ejpam-6681	144	5	ebd	ebd	PROPN
ejpam-6681	144	6	pdf	pdf	NOUN
ejpam-6681	144	7	and	and	CCONJ
ejpam-6681	144	8	cdf	cdf	PROPN
ejpam-6681	144	9	,	,	PUNCT
ejpam-6681	144	10	we	we	PRON
ejpam-6681	144	11	get	get	VERB
ejpam-6681	144	12	g1(x	g1(x	NOUN
ejpam-6681	144	13	)	)	PUNCT
ejpam-6681	144	14	=	=	SYM
ejpam-6681	145	1	3nαθ	3nαθ	PROPN
ejpam-6681	145	2	[	[	PUNCT
ejpam-6681	145	3	xα−1(1	xα−1(1	PROPN
ejpam-6681	145	4	+	+	CCONJ
ejpam-6681	145	5	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	145	6	−	−	PROPN
ejpam-6681	146	1	1	1	NUM
ejpam-6681	146	2	2	2	NUM
ejpam-6681	146	3	xα−1(1	xα−1(1	PUNCT
ejpam-6681	146	4	+	+	CCONJ
ejpam-6681	146	5	xα)−3θ−1	xα)−3θ−1	PUNCT
ejpam-6681	146	6	]	]	PUNCT
ejpam-6681	147	1	[	[	PUNCT
ejpam-6681	147	2	1	1	NUM
ejpam-6681	147	3	2	2	NUM
ejpam-6681	147	4	(	(	PUNCT
ejpam-6681	147	5	1	1	NUM
ejpam-6681	147	6	+	+	CCONJ
ejpam-6681	147	7	xα)−3θ	xα)−3θ	PROPN
ejpam-6681	147	8	−	−	NUM
ejpam-6681	147	9	3	3	NUM
ejpam-6681	147	10	2	2	NUM
ejpam-6681	147	11	(	(	PUNCT
ejpam-6681	147	12	1	1	NUM
ejpam-6681	147	13	+	+	CCONJ
ejpam-6681	147	14	xα)−2θ	xα)−2θ	PROPN
ejpam-6681	147	15	]	]	X
ejpam-6681	147	16	,	,	PUNCT
ejpam-6681	147	17	gn(x	gn(x	PUNCT
ejpam-6681	147	18	)	)	PUNCT
ejpam-6681	147	19	=	=	SYM
ejpam-6681	148	1	3nαθ	3nαθ	PROPN
ejpam-6681	148	2	[	[	PUNCT
ejpam-6681	148	3	xα−1(1	xα−1(1	PROPN
ejpam-6681	148	4	+	+	CCONJ
ejpam-6681	148	5	xα)−2θ−1	xα)−2θ−1	PROPN
ejpam-6681	148	6	−	−	PROPN
ejpam-6681	148	7	1	1	NUM
ejpam-6681	148	8	2	2	NUM
ejpam-6681	148	9	xα−1(1	xα−1(1	PUNCT
ejpam-6681	148	10	+	+	CCONJ
ejpam-6681	148	11	xα)−3θ−1	xα)−3θ−1	PUNCT
ejpam-6681	148	12	]	]	PUNCT
ejpam-6681	149	1	[	[	PUNCT
ejpam-6681	149	2	1−	1−	NUM
ejpam-6681	149	3	3	3	NUM
ejpam-6681	149	4	2	2	NUM
ejpam-6681	149	5	(	(	PUNCT
ejpam-6681	149	6	1	1	NUM
ejpam-6681	149	7	+	+	CCONJ
ejpam-6681	149	8	xα)−2θ	xα)−2θ	X
ejpam-6681	150	1	+	+	CCONJ
ejpam-6681	150	2	1	1	NUM
ejpam-6681	150	3	2	2	NUM
ejpam-6681	150	4	(	(	PUNCT
ejpam-6681	150	5	1	1	NUM
ejpam-6681	150	6	+	+	CCONJ
ejpam-6681	150	7	xα)−3θ	xα)−3θ	PROPN
ejpam-6681	150	8	]	]	PUNCT
ejpam-6681	150	9	.	.	PUNCT
ejpam-6681	151	1	7	7	X
ejpam-6681	151	2	.	.	X
ejpam-6681	151	3	maximum	maximum	ADJ
ejpam-6681	151	4	likelihood	likelihood	NOUN
ejpam-6681	151	5	estimation	estimation	NOUN
ejpam-6681	151	6	one	one	NUM
ejpam-6681	151	7	popular	popular	ADJ
ejpam-6681	151	8	technique	technique	NOUN
ejpam-6681	151	9	for	for	ADP
ejpam-6681	151	10	estimating	estimate	VERB
ejpam-6681	151	11	the	the	DET
ejpam-6681	151	12	distribution	distribution	NOUN
ejpam-6681	151	13	parameters	parameter	NOUN
ejpam-6681	151	14	is	be	AUX
ejpam-6681	151	15	maximum	maximum	ADJ
ejpam-6681	151	16	likelihood	likelihood	NOUN
ejpam-6681	151	17	estimation	estimation	NOUN
ejpam-6681	151	18	(	(	PUNCT
ejpam-6681	151	19	mle	mle	PROPN
ejpam-6681	151	20	)	)	PUNCT
ejpam-6681	151	21	.	.	PUNCT
ejpam-6681	152	1	the	the	DET
ejpam-6681	152	2	unknown	unknown	ADJ
ejpam-6681	152	3	parameters	parameter	NOUN
ejpam-6681	152	4	of	of	ADP
ejpam-6681	152	5	epanechnikov	epanechnikov	PROPN
ejpam-6681	152	6	-burr	-burr	PROPN
ejpam-6681	152	7	-	-	PUNCT
ejpam-6681	152	8	xii	xii	PROPN
ejpam-6681	152	9	were	be	AUX
ejpam-6681	152	10	estimated	estimate	VERB
ejpam-6681	152	11	using	use	VERB
ejpam-6681	152	12	the	the	DET
ejpam-6681	152	13	mle	mle	PROPN
ejpam-6681	152	14	approach	approach	NOUN
ejpam-6681	152	15	.	.	PUNCT
ejpam-6681	153	1	given	give	VERB
ejpam-6681	153	2	the	the	DET
ejpam-6681	153	3	pdf	pdf	NOUN
ejpam-6681	153	4	described	describe	VERB
ejpam-6681	153	5	in	in	ADP
ejpam-6681	153	6	equation	equation	NOUN
ejpam-6681	153	7	2	2	NUM
ejpam-6681	153	8	,	,	PUNCT
ejpam-6681	153	9	let	let	VERB
ejpam-6681	153	10	x1	x1	NUM
ejpam-6681	153	11	,	,	PUNCT
ejpam-6681	153	12	x2	x2	PROPN
ejpam-6681	153	13	,	,	PUNCT
ejpam-6681	153	14	.	.	PUNCT
ejpam-6681	153	15	.	.	PUNCT
ejpam-6681	154	1	.	.	PUNCT
ejpam-6681	155	1	,	,	PUNCT
ejpam-6681	155	2	xn	xn	PROPN
ejpam-6681	155	3	be	be	AUX
ejpam-6681	155	4	a	a	DET
ejpam-6681	155	5	random	random	ADJ
ejpam-6681	155	6	sample	sample	NOUN
ejpam-6681	155	7	from	from	ADP
ejpam-6681	155	8	ebd	ebd	PROPN
ejpam-6681	155	9	.	.	PUNCT
ejpam-6681	156	1	the	the	DET
ejpam-6681	156	2	joint	joint	ADJ
ejpam-6681	156	3	pdf	pdf	NOUN
ejpam-6681	156	4	of	of	ADP
ejpam-6681	156	5	x1	x1	PROPN
ejpam-6681	156	6	,	,	PUNCT
ejpam-6681	156	7	x2	x2	PROPN
ejpam-6681	156	8	,	,	PUNCT
ejpam-6681	156	9	.	.	PUNCT
ejpam-6681	156	10	.	.	PUNCT
ejpam-6681	156	11	.	.	PUNCT
ejpam-6681	157	1	,	,	PUNCT
ejpam-6681	157	2	xn	xn	PROPN
ejpam-6681	157	3	is	be	AUX
ejpam-6681	157	4	called	call	VERB
ejpam-6681	157	5	the	the	DET
ejpam-6681	157	6	likelihood	likelihood	NOUN
ejpam-6681	157	7	function	function	NOUN
ejpam-6681	157	8	and	and	CCONJ
ejpam-6681	157	9	is	be	AUX
ejpam-6681	157	10	given	give	VERB
ejpam-6681	157	11	by	by	ADP
ejpam-6681	157	12	n.	n.	PROPN
ejpam-6681	157	13	odat	odat	PROPN
ejpam-6681	157	14	et	et	PROPN
ejpam-6681	157	15	al	al	PROPN
ejpam-6681	157	16	.	.	PUNCT
ejpam-6681	157	17	/	/	SYM
ejpam-6681	157	18	eur	eur	PROPN
ejpam-6681	157	19	.	.	PUNCT
ejpam-6681	158	1	j.	j.	PROPN
ejpam-6681	158	2	pure	pure	PROPN
ejpam-6681	158	3	appl	appl	PROPN
ejpam-6681	158	4	.	.	PROPN
ejpam-6681	158	5	math	math	PROPN
ejpam-6681	158	6	,	,	PUNCT
ejpam-6681	158	7	18	18	NUM
ejpam-6681	158	8	(	(	PUNCT
ejpam-6681	158	9	4	4	NUM
ejpam-6681	158	10	)	)	PUNCT
ejpam-6681	158	11	(	(	PUNCT
ejpam-6681	158	12	2025	2025	NUM
ejpam-6681	158	13	)	)	PUNCT
ejpam-6681	158	14	,	,	PUNCT
ejpam-6681	158	15	6681	6681	NUM
ejpam-6681	158	16	9	9	NUM
ejpam-6681	158	17	of	of	ADP
ejpam-6681	158	18	15	15	NUM
ejpam-6681	158	19	l(θ	l(θ	NOUN
ejpam-6681	158	20	,	,	PUNCT
ejpam-6681	158	21	α	α	NOUN
ejpam-6681	158	22	)	)	PUNCT
ejpam-6681	159	1	=	=	PUNCT
ejpam-6681	159	2	n∏	n∏	PROPN
ejpam-6681	159	3	i=1	i=1	ADP
ejpam-6681	159	4	3αθ	3αθ	NOUN
ejpam-6681	159	5	[	[	PUNCT
ejpam-6681	159	6	xα−1	xα−1	NOUN
ejpam-6681	159	7	i	i	PRON
ejpam-6681	159	8	(	(	PUNCT
ejpam-6681	159	9	1	1	NUM
ejpam-6681	159	10	+	+	NUM
ejpam-6681	159	11	xαi	xαi	NOUN
ejpam-6681	159	12	)	)	PUNCT
ejpam-6681	160	1	−2θ−1	−2θ−1	PROPN
ejpam-6681	160	2	−	−	NUM
ejpam-6681	160	3	1	1	NUM
ejpam-6681	160	4	2	2	NUM
ejpam-6681	160	5	xα−1	xα−1	NOUN
ejpam-6681	160	6	i	i	PRON
ejpam-6681	160	7	(	(	PUNCT
ejpam-6681	160	8	1	1	NUM
ejpam-6681	160	9	+	+	NUM
ejpam-6681	160	10	xαi	xαi	NOUN
ejpam-6681	160	11	)	)	PUNCT
ejpam-6681	160	12	−3θ−1	−3θ−1	PROPN
ejpam-6681	160	13	]	]	PUNCT
ejpam-6681	160	14	,	,	PUNCT
ejpam-6681	160	15	which	which	PRON
ejpam-6681	160	16	can	can	AUX
ejpam-6681	160	17	also	also	ADV
ejpam-6681	160	18	be	be	AUX
ejpam-6681	160	19	expressed	express	VERB
ejpam-6681	160	20	as	as	ADP
ejpam-6681	160	21	l(θ	l(θ	PROPN
ejpam-6681	160	22	,	,	PUNCT
ejpam-6681	160	23	α	α	NOUN
ejpam-6681	160	24	)	)	PUNCT
ejpam-6681	160	25	=	=	PUNCT
ejpam-6681	160	26	3nθnαn	3nθnαn	NUM
ejpam-6681	160	27	n∏	n∏	PROPN
ejpam-6681	160	28	i=1	i=1	X
ejpam-6681	161	1	[	[	PUNCT
ejpam-6681	161	2	xα−1	xα−1	NOUN
ejpam-6681	161	3	i	i	PRON
ejpam-6681	161	4	(	(	PUNCT
ejpam-6681	161	5	1	1	NUM
ejpam-6681	161	6	+	+	NUM
ejpam-6681	161	7	xαi	xαi	NOUN
ejpam-6681	161	8	)	)	PUNCT
ejpam-6681	161	9	−2θ−1	−2θ−1	PROPN
ejpam-6681	161	10	(	(	PUNCT
ejpam-6681	161	11	1−	1−	NUM
ejpam-6681	161	12	1	1	NUM
ejpam-6681	161	13	2	2	NUM
ejpam-6681	161	14	(	(	PUNCT
ejpam-6681	161	15	1	1	NUM
ejpam-6681	161	16	+	+	NUM
ejpam-6681	161	17	xαi	xαi	NOUN
ejpam-6681	161	18	)	)	PUNCT
ejpam-6681	161	19	−θ	−θ	ADV
ejpam-6681	161	20	)	)	PUNCT
ejpam-6681	161	21	]	]	PUNCT
ejpam-6681	161	22	.	.	PUNCT
ejpam-6681	162	1	the	the	DET
ejpam-6681	162	2	log	log	NOUN
ejpam-6681	162	3	-	-	PUNCT
ejpam-6681	162	4	likelihood	likelihood	NOUN
ejpam-6681	162	5	function	function	NOUN
ejpam-6681	162	6	is	be	AUX
ejpam-6681	162	7	:	:	PUNCT
ejpam-6681	162	8	lnl(θ	lnl(θ	NOUN
ejpam-6681	162	9	,	,	PUNCT
ejpam-6681	162	10	α	α	NOUN
ejpam-6681	162	11	)	)	PUNCT
ejpam-6681	162	12	=	=	SYM
ejpam-6681	162	13	n	n	PROPN
ejpam-6681	162	14	ln	ln	NOUN
ejpam-6681	163	1	3+n	3+n	NUM
ejpam-6681	163	2	ln	ln	ADJ
ejpam-6681	163	3	θ+n	θ+n	NUM
ejpam-6681	163	4	lnα−(2θ+1	lnα−(2θ+1	PROPN
ejpam-6681	163	5	)	)	PUNCT
ejpam-6681	163	6	n∑	n∑	NOUN
ejpam-6681	163	7	i=1	i=1	PROPN
ejpam-6681	163	8	ln(1+xαi	ln(1+xαi	NOUN
ejpam-6681	163	9	)	)	PUNCT
ejpam-6681	164	1	+	+	PROPN
ejpam-6681	164	2	(	(	PUNCT
ejpam-6681	164	3	α−1	α−1	NOUN
ejpam-6681	164	4	)	)	PUNCT
ejpam-6681	164	5	n∑	n∑	PROPN
ejpam-6681	165	1	i=1	i=1	PROPN
ejpam-6681	165	2	ln(xi)+	ln(xi)+	PROPN
ejpam-6681	165	3	n∑	n∑	PROPN
ejpam-6681	166	1	i=1	i=1	PROPN
ejpam-6681	167	1	ln	ln	INTJ
ejpam-6681	167	2	(	(	PUNCT
ejpam-6681	167	3	1−	1−	NUM
ejpam-6681	167	4	1	1	NUM
ejpam-6681	167	5	2	2	NUM
ejpam-6681	167	6	(	(	PUNCT
ejpam-6681	167	7	1	1	NUM
ejpam-6681	167	8	+	+	NUM
ejpam-6681	167	9	xαi	xαi	NOUN
ejpam-6681	167	10	)	)	PUNCT
ejpam-6681	167	11	−θ	−θ	ADV
ejpam-6681	167	12	)	)	PUNCT
ejpam-6681	167	13	.	.	PUNCT
ejpam-6681	168	1	by	by	ADP
ejpam-6681	168	2	deriving	derive	VERB
ejpam-6681	168	3	the	the	DET
ejpam-6681	168	4	log	log	NOUN
ejpam-6681	168	5	-	-	PUNCT
ejpam-6681	168	6	likelihood	likelihood	NOUN
ejpam-6681	168	7	function	function	NOUN
ejpam-6681	168	8	with	with	ADP
ejpam-6681	168	9	respect	respect	NOUN
ejpam-6681	168	10	to	to	ADP
ejpam-6681	168	11	the	the	DET
ejpam-6681	168	12	parameters	parameter	NOUN
ejpam-6681	168	13	θ	θ	PROPN
ejpam-6681	168	14	and	and	CCONJ
ejpam-6681	168	15	α	α	NOUN
ejpam-6681	168	16	,	,	PUNCT
ejpam-6681	168	17	we	we	PRON
ejpam-6681	168	18	get	get	VERB
ejpam-6681	168	19	∂	∂	NOUN
ejpam-6681	168	20	lnl	lnl	PROPN
ejpam-6681	168	21	∂θ	∂θ	PROPN
ejpam-6681	168	22	=	=	SYM
ejpam-6681	168	23	n	n	NUM
ejpam-6681	168	24	θ	θ	NOUN
ejpam-6681	168	25	−	−	PROPN
ejpam-6681	168	26	2	2	NUM
ejpam-6681	168	27	n∑	n∑	NOUN
ejpam-6681	168	28	i=1	i=1	PROPN
ejpam-6681	169	1	ln(1	ln(1	PROPN
ejpam-6681	169	2	+	+	NUM
ejpam-6681	169	3	xαi	xαi	NOUN
ejpam-6681	169	4	)	)	PUNCT
ejpam-6681	170	1	+	+	CCONJ
ejpam-6681	170	2	n∑	n∑	X
ejpam-6681	170	3	i=1	i=1	ADP
ejpam-6681	170	4	1	1	NUM
ejpam-6681	170	5	2(1	2(1	NUM
ejpam-6681	170	6	+	+	CCONJ
ejpam-6681	170	7	xαi	xαi	NOUN
ejpam-6681	170	8	)	)	PUNCT
ejpam-6681	171	1	−θ	−θ	ADJ
ejpam-6681	171	2	ln(1	ln(1	PROPN
ejpam-6681	171	3	+	+	NUM
ejpam-6681	171	4	xαi	xαi	NOUN
ejpam-6681	171	5	)	)	PUNCT
ejpam-6681	172	1	1−	1−	NUM
ejpam-6681	172	2	1	1	NUM
ejpam-6681	172	3	2(1	2(1	NUM
ejpam-6681	172	4	+	+	CCONJ
ejpam-6681	172	5	xαi	xαi	NOUN
ejpam-6681	172	6	)	)	PUNCT
ejpam-6681	173	1	−θ	−θ	ADV
ejpam-6681	173	2	(	(	PUNCT
ejpam-6681	173	3	3	3	NUM
ejpam-6681	173	4	)	)	PUNCT
ejpam-6681	173	5	∂	∂	NOUN
ejpam-6681	174	1	lnl	lnl	PROPN
ejpam-6681	174	2	∂α	∂α	PROPN
ejpam-6681	174	3	=	=	PUNCT
ejpam-6681	174	4	n	n	CCONJ
ejpam-6681	174	5	α	α	NOUN
ejpam-6681	174	6	−	−	PROPN
ejpam-6681	174	7	(	(	PUNCT
ejpam-6681	174	8	2θ	2θ	NUM
ejpam-6681	174	9	+	+	SYM
ejpam-6681	174	10	1	1	X
ejpam-6681	174	11	)	)	PUNCT
ejpam-6681	174	12	n∑	n∑	NOUN
ejpam-6681	174	13	i=1	i=1	PROPN
ejpam-6681	174	14	xαi	xαi	PROPN
ejpam-6681	174	15	ln(xi	ln(xi	PROPN
ejpam-6681	174	16	)	)	PUNCT
ejpam-6681	174	17	1	1	NUM
ejpam-6681	175	1	+	+	NUM
ejpam-6681	175	2	xαi	xαi	NOUN
ejpam-6681	175	3	+	+	CCONJ
ejpam-6681	175	4	n∑	n∑	ADJ
ejpam-6681	175	5	i=1	i=1	PROPN
ejpam-6681	175	6	ln(xi	ln(xi	PROPN
ejpam-6681	175	7	)	)	PUNCT
ejpam-6681	176	1	+	+	NUM
ejpam-6681	176	2	n∑	n∑	X
ejpam-6681	176	3	i=1	i=1	PROPN
ejpam-6681	176	4	θ	θ	PROPN
ejpam-6681	176	5	2x	2x	NUM
ejpam-6681	177	1	α	α	INTJ
ejpam-6681	178	1	i	i	PRON
ejpam-6681	178	2	ln(xi)(1	ln(xi)(1	VERB
ejpam-6681	179	1	+	+	CCONJ
ejpam-6681	179	2	xαi	xαi	NOUN
ejpam-6681	179	3	)	)	PUNCT
ejpam-6681	180	1	−θ−1	−θ−1	NUM
ejpam-6681	180	2	1−	1−	NUM
ejpam-6681	180	3	1	1	NUM
ejpam-6681	180	4	2(1	2(1	NUM
ejpam-6681	180	5	+	+	CCONJ
ejpam-6681	180	6	xαi	xαi	NOUN
ejpam-6681	180	7	)	)	PUNCT
ejpam-6681	181	1	−θ	−θ	ADV
ejpam-6681	181	2	(	(	PUNCT
ejpam-6681	181	3	4	4	NUM
ejpam-6681	181	4	)	)	PUNCT
ejpam-6681	181	5	since	since	SCONJ
ejpam-6681	181	6	the	the	DET
ejpam-6681	181	7	likelihood	likelihood	NOUN
ejpam-6681	181	8	equations	equation	NOUN
ejpam-6681	181	9	do	do	AUX
ejpam-6681	181	10	not	not	PART
ejpam-6681	181	11	admit	admit	VERB
ejpam-6681	181	12	closed	closed	ADJ
ejpam-6681	181	13	-	-	PUNCT
ejpam-6681	181	14	form	form	NOUN
ejpam-6681	181	15	solutions	solution	NOUN
ejpam-6681	181	16	,	,	PUNCT
ejpam-6681	181	17	the	the	DET
ejpam-6681	181	18	resulting	result	VERB
ejpam-6681	181	19	system	system	NOUN
ejpam-6681	181	20	of	of	ADP
ejpam-6681	181	21	nonlinear	nonlinear	ADJ
ejpam-6681	181	22	equations	equation	NOUN
ejpam-6681	181	23	must	must	AUX
ejpam-6681	181	24	be	be	AUX
ejpam-6681	181	25	solved	solve	VERB
ejpam-6681	181	26	using	use	VERB
ejpam-6681	181	27	numerical	numerical	ADJ
ejpam-6681	181	28	methods	method	NOUN
ejpam-6681	181	29	.	.	PUNCT
ejpam-6681	182	1	we	we	PRON
ejpam-6681	182	2	numerically	numerically	ADV
ejpam-6681	182	3	verified	verify	VERB
ejpam-6681	182	4	that	that	SCONJ
ejpam-6681	182	5	the	the	DET
ejpam-6681	182	6	score	score	NOUN
ejpam-6681	182	7	functions	function	NOUN
ejpam-6681	182	8	(	(	PUNCT
ejpam-6681	182	9	equations	equation	NOUN
ejpam-6681	182	10	3	3	NUM
ejpam-6681	182	11	and	and	CCONJ
ejpam-6681	182	12	4	4	NUM
ejpam-6681	182	13	)	)	PUNCT
ejpam-6681	182	14	evaluate	evaluate	VERB
ejpam-6681	182	15	to	to	ADP
ejpam-6681	182	16	values	value	NOUN
ejpam-6681	182	17	close	close	ADV
ejpam-6681	182	18	to	to	ADP
ejpam-6681	182	19	zero	zero	NUM
ejpam-6681	182	20	at	at	ADP
ejpam-6681	182	21	the	the	DET
ejpam-6681	182	22	reported	reported	ADJ
ejpam-6681	182	23	maximum	maximum	ADJ
ejpam-6681	182	24	likelihood	likelihood	NOUN
ejpam-6681	182	25	estimates	estimate	NOUN
ejpam-6681	182	26	,	,	PUNCT
ejpam-6681	182	27	confirming	confirm	VERB
ejpam-6681	182	28	that	that	SCONJ
ejpam-6681	182	29	our	our	PRON
ejpam-6681	182	30	optimization	optimization	NOUN
ejpam-6681	182	31	procedure	procedure	NOUN
ejpam-6681	182	32	successfully	successfully	ADV
ejpam-6681	182	33	located	locate	VERB
ejpam-6681	182	34	the	the	DET
ejpam-6681	182	35	maximum	maximum	NOUN
ejpam-6681	182	36	of	of	ADP
ejpam-6681	182	37	the	the	DET
ejpam-6681	182	38	likelihood	likelihood	NOUN
ejpam-6681	182	39	function	function	NOUN
ejpam-6681	182	40	.	.	PUNCT
ejpam-6681	183	1	by	by	ADP
ejpam-6681	183	2	equating	equate	VERB
ejpam-6681	183	3	this	this	DET
ejpam-6681	183	4	equations	equation	NOUN
ejpam-6681	183	5	3	3	NUM
ejpam-6681	183	6	and	and	CCONJ
ejpam-6681	183	7	4	4	NUM
ejpam-6681	183	8	to	to	PART
ejpam-6681	183	9	0	0	NUM
ejpam-6681	183	10	,	,	PUNCT
ejpam-6681	183	11	we	we	PRON
ejpam-6681	183	12	get	get	VERB
ejpam-6681	183	13	n	n	PRON
ejpam-6681	183	14	θ	θ	NOUN
ejpam-6681	183	15	=	=	SYM
ejpam-6681	183	16	2	2	NUM
ejpam-6681	183	17	n∑	n∑	NOUN
ejpam-6681	183	18	i=1	i=1	PROPN
ejpam-6681	184	1	(	(	PUNCT
ejpam-6681	184	2	ln(1	ln(1	PROPN
ejpam-6681	184	3	+	+	NUM
ejpam-6681	184	4	xαi	xαi	NOUN
ejpam-6681	184	5	)	)	PUNCT
ejpam-6681	185	1	+	+	CCONJ
ejpam-6681	185	2	1	1	NUM
ejpam-6681	185	3	2(1	2(1	NUM
ejpam-6681	185	4	+	+	CCONJ
ejpam-6681	185	5	xαi	xαi	NOUN
ejpam-6681	185	6	)	)	PUNCT
ejpam-6681	186	1	−θ	−θ	ADJ
ejpam-6681	186	2	ln(1	ln(1	PROPN
ejpam-6681	186	3	+	+	NUM
ejpam-6681	186	4	xαi	xαi	NOUN
ejpam-6681	186	5	)	)	PUNCT
ejpam-6681	187	1	1−	1−	NUM
ejpam-6681	187	2	1	1	NUM
ejpam-6681	187	3	2(1	2(1	NUM
ejpam-6681	187	4	+	+	CCONJ
ejpam-6681	187	5	xαi	xαi	NOUN
ejpam-6681	187	6	)	)	PUNCT
ejpam-6681	188	1	−θ	−θ	ADV
ejpam-6681	188	2	)	)	PUNCT
ejpam-6681	188	3	,	,	PUNCT
ejpam-6681	189	1	n	n	CCONJ
ejpam-6681	189	2	α	α	NOUN
ejpam-6681	189	3	=	=	SYM
ejpam-6681	189	4	(	(	PUNCT
ejpam-6681	189	5	2θ	2θ	NUM
ejpam-6681	189	6	+	+	SYM
ejpam-6681	189	7	1	1	X
ejpam-6681	189	8	)	)	PUNCT
ejpam-6681	189	9	n∑	n∑	NOUN
ejpam-6681	189	10	i=1	i=1	PROPN
ejpam-6681	189	11	xαi	xαi	PROPN
ejpam-6681	189	12	ln(xi	ln(xi	PROPN
ejpam-6681	189	13	)	)	PUNCT
ejpam-6681	189	14	1	1	NUM
ejpam-6681	190	1	+	+	NUM
ejpam-6681	190	2	xαi	xαi	NOUN
ejpam-6681	191	1	−	−	PROPN
ejpam-6681	191	2	n∑	n∑	NOUN
ejpam-6681	191	3	i=1	i=1	PROPN
ejpam-6681	192	1	ln(xi)−	ln(xi)−	PROPN
ejpam-6681	192	2	n∑	n∑	PROPN
ejpam-6681	192	3	i=1	i=1	PROPN
ejpam-6681	193	1	θ	θ	NOUN
ejpam-6681	193	2	2	2	NUM
ejpam-6681	193	3	·	·	PUNCT
ejpam-6681	193	4	xαi	xαi	NOUN
ejpam-6681	193	5	ln(xi)(1	ln(xi)(1	NOUN
ejpam-6681	193	6	+	+	CCONJ
ejpam-6681	193	7	xαi	xαi	NOUN
ejpam-6681	193	8	)	)	PUNCT
ejpam-6681	193	9	−θ−1	−θ−1	NUM
ejpam-6681	193	10	1−	1−	NUM
ejpam-6681	193	11	1	1	NUM
ejpam-6681	193	12	2(1	2(1	NUM
ejpam-6681	193	13	+	+	CCONJ
ejpam-6681	193	14	xαi	xαi	NOUN
ejpam-6681	193	15	)	)	PUNCT
ejpam-6681	194	1	−θ	−θ	ADV
ejpam-6681	194	2	.	.	PUNCT
ejpam-6681	195	1	all	all	DET
ejpam-6681	195	2	summations	summation	NOUN
ejpam-6681	195	3	are	be	AUX
ejpam-6681	195	4	taken	take	VERB
ejpam-6681	195	5	over	over	ADP
ejpam-6681	195	6	i	i	NOUN
ejpam-6681	195	7	=	=	NOUN
ejpam-6681	195	8	1	1	NUM
ejpam-6681	195	9	to	to	ADP
ejpam-6681	195	10	n	n	CCONJ
ejpam-6681	195	11	,	,	PUNCT
ejpam-6681	195	12	and	and	CCONJ
ejpam-6681	195	13	the	the	DET
ejpam-6681	195	14	newton	newton	PROPN
ejpam-6681	195	15	-	-	PUNCT
ejpam-6681	195	16	raphson	raphson	PROPN
ejpam-6681	195	17	method	method	NOUN
ejpam-6681	195	18	is	be	AUX
ejpam-6681	195	19	used	use	VERB
ejpam-6681	195	20	for	for	ADP
ejpam-6681	195	21	the	the	DET
ejpam-6681	195	22	numerical	numerical	ADJ
ejpam-6681	195	23	solution	solution	NOUN
ejpam-6681	195	24	.	.	PUNCT
ejpam-6681	196	1	in	in	ADP
ejpam-6681	196	2	the	the	DET
ejpam-6681	196	3	numerical	numerical	ADJ
ejpam-6681	196	4	solution	solution	NOUN
ejpam-6681	196	5	via	via	ADP
ejpam-6681	196	6	the	the	DET
ejpam-6681	196	7	newton	newton	PROPN
ejpam-6681	196	8	-	-	PUNCT
ejpam-6681	196	9	raphson	raphson	PROPN
ejpam-6681	196	10	method	method	NOUN
ejpam-6681	196	11	,	,	PUNCT
ejpam-6681	196	12	the	the	DET
ejpam-6681	196	13	choice	choice	NOUN
ejpam-6681	196	14	of	of	ADP
ejpam-6681	196	15	initial	initial	ADJ
ejpam-6681	196	16	values	value	NOUN
ejpam-6681	196	17	is	be	AUX
ejpam-6681	196	18	crucial	crucial	ADJ
ejpam-6681	196	19	for	for	ADP
ejpam-6681	196	20	convergence	convergence	NOUN
ejpam-6681	196	21	.	.	PUNCT
ejpam-6681	197	1	we	we	PRON
ejpam-6681	197	2	recommend	recommend	VERB
ejpam-6681	197	3	using	use	VERB
ejpam-6681	197	4	the	the	DET
ejpam-6681	197	5	method	method	NOUN
ejpam-6681	197	6	of	of	ADP
ejpam-6681	197	7	moments	moment	NOUN
ejpam-6681	197	8	estimates	estimate	NOUN
ejpam-6681	197	9	from	from	ADP
ejpam-6681	197	10	the	the	DET
ejpam-6681	197	11	sample	sample	NOUN
ejpam-6681	197	12	data	datum	NOUN
ejpam-6681	197	13	as	as	ADP
ejpam-6681	197	14	initial	initial	ADJ
ejpam-6681	197	15	guesses	guess	NOUN
ejpam-6681	197	16	.	.	PUNCT
ejpam-6681	198	1	alternatively	alternatively	ADV
ejpam-6681	198	2	,	,	PUNCT
ejpam-6681	198	3	initial	initial	ADJ
ejpam-6681	198	4	values	value	NOUN
ejpam-6681	198	5	can	can	AUX
ejpam-6681	198	6	be	be	AUX
ejpam-6681	198	7	derived	derive	VERB
ejpam-6681	198	8	from	from	ADP
ejpam-6681	198	9	the	the	DET
ejpam-6681	198	10	maximum	maximum	ADJ
ejpam-6681	198	11	likelihood	likelihood	NOUN
ejpam-6681	198	12	estimates	estimate	NOUN
ejpam-6681	198	13	of	of	ADP
ejpam-6681	198	14	the	the	DET
ejpam-6681	198	15	standard	standard	ADJ
ejpam-6681	198	16	burr	burr	NOUN
ejpam-6681	198	17	-	-	PUNCT
ejpam-6681	198	18	xii	xii	NOUN
ejpam-6681	198	19	distribution	distribution	NOUN
ejpam-6681	198	20	,	,	PUNCT
ejpam-6681	198	21	which	which	PRON
ejpam-6681	198	22	often	often	ADV
ejpam-6681	198	23	provide	provide	VERB
ejpam-6681	198	24	a	a	DET
ejpam-6681	198	25	robust	robust	ADJ
ejpam-6681	198	26	starting	starting	NOUN
ejpam-6681	198	27	point	point	NOUN
ejpam-6681	198	28	close	close	ADV
ejpam-6681	198	29	to	to	ADP
ejpam-6681	198	30	the	the	DET
ejpam-6681	198	31	ebd	ebd	NOUN
ejpam-6681	198	32	solution	solution	NOUN
ejpam-6681	198	33	and	and	CCONJ
ejpam-6681	198	34	ensure	ensure	VERB
ejpam-6681	198	35	reliable	reliable	ADJ
ejpam-6681	198	36	convergence	convergence	NOUN
ejpam-6681	198	37	of	of	ADP
ejpam-6681	198	38	the	the	DET
ejpam-6681	198	39	algorithm	algorithm	NOUN
ejpam-6681	198	40	.	.	PUNCT
ejpam-6681	199	1	n.	n.	PROPN
ejpam-6681	199	2	odat	odat	PROPN
ejpam-6681	199	3	et	et	PROPN
ejpam-6681	199	4	al	al	PROPN
ejpam-6681	199	5	.	.	PUNCT
ejpam-6681	199	6	/	/	SYM
ejpam-6681	199	7	eur	eur	PROPN
ejpam-6681	199	8	.	.	PUNCT
ejpam-6681	200	1	j.	j.	PROPN
ejpam-6681	200	2	pure	pure	PROPN
ejpam-6681	200	3	appl	appl	PROPN
ejpam-6681	200	4	.	.	PROPN
ejpam-6681	200	5	math	math	PROPN
ejpam-6681	200	6	,	,	PUNCT
ejpam-6681	200	7	18	18	NUM
ejpam-6681	200	8	(	(	PUNCT
ejpam-6681	200	9	4	4	NUM
ejpam-6681	200	10	)	)	PUNCT
ejpam-6681	200	11	(	(	PUNCT
ejpam-6681	200	12	2025	2025	NUM
ejpam-6681	200	13	)	)	PUNCT
ejpam-6681	200	14	,	,	PUNCT
ejpam-6681	200	15	6681	6681	NUM
ejpam-6681	200	16	10	10	NUM
ejpam-6681	200	17	of	of	ADP
ejpam-6681	200	18	15	15	NUM
ejpam-6681	200	19	7.1	7.1	NUM
ejpam-6681	200	20	.	.	PUNCT
ejpam-6681	201	1	theoretical	theoretical	ADJ
ejpam-6681	201	2	properties	property	NOUN
ejpam-6681	201	3	and	and	CCONJ
ejpam-6681	201	4	advantages	advantage	NOUN
ejpam-6681	201	5	the	the	DET
ejpam-6681	201	6	epanechnikov	epanechnikov	NOUN
ejpam-6681	201	7	kernel	kernel	PROPN
ejpam-6681	201	8	provides	provide	VERB
ejpam-6681	201	9	several	several	ADJ
ejpam-6681	201	10	theoretical	theoretical	ADJ
ejpam-6681	201	11	advantages	advantage	NOUN
ejpam-6681	201	12	over	over	ADP
ejpam-6681	201	13	the	the	DET
ejpam-6681	201	14	standard	standard	ADJ
ejpam-6681	201	15	burr	burr	NOUN
ejpam-6681	201	16	–	–	PUNCT
ejpam-6681	201	17	xii	xii	NOUN
ejpam-6681	201	18	distribution	distribution	NOUN
ejpam-6681	201	19	.	.	PUNCT
ejpam-6681	202	1	first	first	ADV
ejpam-6681	202	2	,	,	PUNCT
ejpam-6681	202	3	the	the	DET
ejpam-6681	202	4	bounded	bounded	ADJ
ejpam-6681	202	5	quadratic	quadratic	ADJ
ejpam-6681	202	6	transformation	transformation	NOUN
ejpam-6681	202	7	yields	yield	VERB
ejpam-6681	202	8	smoother	smooth	ADJ
ejpam-6681	202	9	tail	tail	NOUN
ejpam-6681	202	10	behavior	behavior	NOUN
ejpam-6681	202	11	,	,	PUNCT
ejpam-6681	202	12	moderating	moderate	VERB
ejpam-6681	202	13	extreme	extreme	ADJ
ejpam-6681	202	14	values	value	NOUN
ejpam-6681	202	15	while	while	SCONJ
ejpam-6681	202	16	maintaining	maintain	VERB
ejpam-6681	202	17	flexibility	flexibility	NOUN
ejpam-6681	202	18	.	.	PUNCT
ejpam-6681	203	1	second	second	ADJ
ejpam-6681	203	2	,	,	PUNCT
ejpam-6681	203	3	the	the	DET
ejpam-6681	203	4	hazard	hazard	NOUN
ejpam-6681	203	5	function	function	NOUN
ejpam-6681	203	6	exhibits	exhibit	VERB
ejpam-6681	203	7	more	more	ADV
ejpam-6681	203	8	nuanced	nuanced	ADJ
ejpam-6681	203	9	shapes	shape	NOUN
ejpam-6681	203	10	capable	capable	ADJ
ejpam-6681	203	11	of	of	ADP
ejpam-6681	203	12	capturing	capture	VERB
ejpam-6681	203	13	complex	complex	ADJ
ejpam-6681	203	14	failure	failure	NOUN
ejpam-6681	203	15	patterns	pattern	NOUN
ejpam-6681	203	16	.	.	PUNCT
ejpam-6681	204	1	notably	notably	ADV
ejpam-6681	204	2	,	,	PUNCT
ejpam-6681	204	3	when	when	SCONJ
ejpam-6681	204	4	α	α	PROPN
ejpam-6681	204	5	=	=	SYM
ejpam-6681	204	6	1	1	NUM
ejpam-6681	204	7	and	and	CCONJ
ejpam-6681	204	8	θ	θ	PROPN
ejpam-6681	204	9	→	→	SYM
ejpam-6681	204	10	∞	∞	PROPN
ejpam-6681	204	11	,	,	PUNCT
ejpam-6681	204	12	the	the	DET
ejpam-6681	204	13	ebd	ebd	NOUN
ejpam-6681	204	14	converges	converge	VERB
ejpam-6681	204	15	to	to	ADP
ejpam-6681	204	16	the	the	DET
ejpam-6681	204	17	exponential(1	exponential(1	PROPN
ejpam-6681	204	18	)	)	PUNCT
ejpam-6681	204	19	distribution	distribution	NOUN
ejpam-6681	204	20	,	,	PUNCT
ejpam-6681	204	21	demonstrating	demonstrate	VERB
ejpam-6681	204	22	its	its	PRON
ejpam-6681	204	23	capacity	capacity	NOUN
ejpam-6681	204	24	to	to	PART
ejpam-6681	204	25	encompass	encompass	VERB
ejpam-6681	204	26	simpler	simple	ADJ
ejpam-6681	204	27	models	model	NOUN
ejpam-6681	204	28	.	.	PUNCT
ejpam-6681	205	1	the	the	DET
ejpam-6681	205	2	moment	moment	NOUN
ejpam-6681	205	3	existence	existence	NOUN
ejpam-6681	205	4	condition	condition	NOUN
ejpam-6681	205	5	r	r	NOUN
ejpam-6681	205	6	<	<	X
ejpam-6681	205	7	2αθ	2αθ	NOUN
ejpam-6681	205	8	reflects	reflect	VERB
ejpam-6681	205	9	the	the	DET
ejpam-6681	205	10	distribution	distribution	NOUN
ejpam-6681	205	11	’s	’s	PART
ejpam-6681	205	12	heavy	heavy	ADJ
ejpam-6681	205	13	-	-	PUNCT
ejpam-6681	205	14	tailed	tail	VERB
ejpam-6681	205	15	nature	nature	NOUN
ejpam-6681	205	16	,	,	PUNCT
ejpam-6681	205	17	which	which	PRON
ejpam-6681	205	18	also	also	ADV
ejpam-6681	205	19	explains	explain	VERB
ejpam-6681	205	20	the	the	DET
ejpam-6681	205	21	divergence	divergence	NOUN
ejpam-6681	205	22	of	of	ADP
ejpam-6681	205	23	the	the	DET
ejpam-6681	205	24	moment	moment	NOUN
ejpam-6681	205	25	generating	generate	VERB
ejpam-6681	205	26	function	function	NOUN
ejpam-6681	205	27	for	for	ADP
ejpam-6681	205	28	t	t	PROPN
ejpam-6681	205	29	>	>	X
ejpam-6681	205	30	0	0	X
ejpam-6681	205	31	.	.	PUNCT
ejpam-6681	206	1	practically	practically	ADV
ejpam-6681	206	2	,	,	PUNCT
ejpam-6681	206	3	the	the	DET
ejpam-6681	206	4	bounded	bounded	ADJ
ejpam-6681	206	5	kernel	kernel	NOUN
ejpam-6681	206	6	ensures	ensure	VERB
ejpam-6681	206	7	numerical	numerical	ADJ
ejpam-6681	206	8	stability	stability	NOUN
ejpam-6681	206	9	during	during	ADP
ejpam-6681	206	10	parameter	parameter	NOUN
ejpam-6681	206	11	estimation	estimation	NOUN
ejpam-6681	206	12	,	,	PUNCT
ejpam-6681	206	13	as	as	SCONJ
ejpam-6681	206	14	the	the	DET
ejpam-6681	206	15	likelihood	likelihood	NOUN
ejpam-6681	206	16	function	function	NOUN
ejpam-6681	206	17	remains	remain	VERB
ejpam-6681	206	18	wellbehaved	wellbehave	VERB
ejpam-6681	206	19	and	and	CCONJ
ejpam-6681	206	20	optimization	optimization	NOUN
ejpam-6681	206	21	algorithms	algorithm	NOUN
ejpam-6681	206	22	converge	converge	VERB
ejpam-6681	206	23	reliably	reliably	ADV
ejpam-6681	206	24	.	.	PUNCT
ejpam-6681	207	1	8	8	X
ejpam-6681	207	2	.	.	X
ejpam-6681	207	3	simulation	simulation	NOUN
ejpam-6681	207	4	study	study	NOUN
ejpam-6681	207	5	we	we	PRON
ejpam-6681	207	6	used	use	VERB
ejpam-6681	207	7	the	the	DET
ejpam-6681	207	8	r	r	NOUN
ejpam-6681	207	9	(	(	PUNCT
ejpam-6681	207	10	version	version	NOUN
ejpam-6681	207	11	4.3.0	4.3.0	NUM
ejpam-6681	207	12	)	)	PUNCT
ejpam-6681	207	13	software	software	NOUN
ejpam-6681	207	14	to	to	PART
ejpam-6681	207	15	conduct	conduct	VERB
ejpam-6681	207	16	a	a	DET
ejpam-6681	207	17	simulation	simulation	NOUN
ejpam-6681	207	18	study	study	NOUN
ejpam-6681	207	19	in	in	ADP
ejpam-6681	207	20	which	which	PRON
ejpam-6681	207	21	1000	1000	NUM
ejpam-6681	207	22	samples	sample	NOUN
ejpam-6681	207	23	were	be	AUX
ejpam-6681	207	24	generated	generate	VERB
ejpam-6681	207	25	from	from	ADP
ejpam-6681	207	26	the	the	DET
ejpam-6681	207	27	ebd	ebd	NOUN
ejpam-6681	207	28	distribution	distribution	NOUN
ejpam-6681	207	29	using	use	VERB
ejpam-6681	207	30	the	the	DET
ejpam-6681	207	31	inverse	inverse	NOUN
ejpam-6681	207	32	cdf	cdf	NOUN
ejpam-6681	207	33	method	method	NOUN
ejpam-6681	207	34	(	(	PUNCT
ejpam-6681	207	35	based	base	VERB
ejpam-6681	207	36	on	on	ADP
ejpam-6681	207	37	eq	eq	ADP
ejpam-6681	207	38	.	.	PROPN
ejpam-6681	207	39	2.1	2.1	NUM
ejpam-6681	207	40	)	)	PUNCT
ejpam-6681	207	41	with	with	ADP
ejpam-6681	207	42	varying	vary	VERB
ejpam-6681	207	43	sample	sample	NOUN
ejpam-6681	207	44	sizes	size	NOUN
ejpam-6681	207	45	n	n	NOUN
ejpam-6681	207	46	=	=	SYM
ejpam-6681	207	47	20	20	NUM
ejpam-6681	207	48	,	,	PUNCT
ejpam-6681	207	49	50	50	NUM
ejpam-6681	207	50	,	,	PUNCT
ejpam-6681	207	51	100	100	NUM
ejpam-6681	207	52	,	,	PUNCT
ejpam-6681	207	53	150	150	NUM
ejpam-6681	207	54	,	,	PUNCT
ejpam-6681	207	55	and	and	CCONJ
ejpam-6681	207	56	200	200	NUM
ejpam-6681	207	57	,	,	PUNCT
ejpam-6681	207	58	with	with	ADP
ejpam-6681	207	59	θ	θ	PROPN
ejpam-6681	207	60	=	=	SYM
ejpam-6681	207	61	0.5	0.5	NUM
ejpam-6681	207	62	,	,	PUNCT
ejpam-6681	207	63	1	1	NUM
ejpam-6681	207	64	,	,	PUNCT
ejpam-6681	207	65	1.5	1.5	NUM
ejpam-6681	207	66	,	,	PUNCT
ejpam-6681	207	67	2	2	NUM
ejpam-6681	207	68	,	,	PUNCT
ejpam-6681	207	69	and	and	CCONJ
ejpam-6681	207	70	α	α	NOUN
ejpam-6681	207	71	=	=	SYM
ejpam-6681	207	72	1	1	NUM
ejpam-6681	207	73	,	,	PUNCT
ejpam-6681	207	74	in	in	ADP
ejpam-6681	207	75	order	order	NOUN
ejpam-6681	207	76	to	to	PART
ejpam-6681	207	77	examine	examine	VERB
ejpam-6681	207	78	the	the	DET
ejpam-6681	207	79	behavior	behavior	NOUN
ejpam-6681	207	80	of	of	ADP
ejpam-6681	207	81	the	the	DET
ejpam-6681	207	82	mle	mle	NOUN
ejpam-6681	207	83	of	of	ADP
ejpam-6681	207	84	the	the	DET
ejpam-6681	207	85	ebd	ebd	PROPN
ejpam-6681	207	86	parameter	parameter	PROPN
ejpam-6681	207	87	θ	θ	PROPN
ejpam-6681	207	88	.	.	PUNCT
ejpam-6681	208	1	the	the	DET
ejpam-6681	208	2	mean	mean	ADJ
ejpam-6681	208	3	estimated	estimate	VERB
ejpam-6681	208	4	value	value	NOUN
ejpam-6681	208	5	of	of	ADP
ejpam-6681	208	6	θ̂	θ̂	NUM
ejpam-6681	208	7	was	be	AUX
ejpam-6681	208	8	calculated	calculate	VERB
ejpam-6681	208	9	for	for	ADP
ejpam-6681	208	10	each	each	DET
ejpam-6681	208	11	scenario	scenario	NOUN
ejpam-6681	208	12	.	.	PUNCT
ejpam-6681	209	1	the	the	DET
ejpam-6681	209	2	results	result	NOUN
ejpam-6681	209	3	are	be	AUX
ejpam-6681	209	4	displayed	display	VERB
ejpam-6681	209	5	in	in	ADP
ejpam-6681	209	6	table	table	NOUN
ejpam-6681	209	7	1	1	NUM
ejpam-6681	209	8	.	.	PUNCT
ejpam-6681	210	1	by	by	ADP
ejpam-6681	210	2	examining	examine	VERB
ejpam-6681	210	3	these	these	DET
ejpam-6681	210	4	findings	finding	NOUN
ejpam-6681	210	5	,	,	PUNCT
ejpam-6681	210	6	we	we	PRON
ejpam-6681	210	7	observe	observe	VERB
ejpam-6681	210	8	that	that	SCONJ
ejpam-6681	210	9	as	as	SCONJ
ejpam-6681	210	10	the	the	DET
ejpam-6681	210	11	sample	sample	NOUN
ejpam-6681	210	12	size	size	NOUN
ejpam-6681	210	13	increases	increase	NOUN
ejpam-6681	210	14	,	,	PUNCT
ejpam-6681	210	15	the	the	DET
ejpam-6681	210	16	values	value	NOUN
ejpam-6681	210	17	of	of	ADP
ejpam-6681	210	18	the	the	DET
ejpam-6681	210	19	bias	bias	NOUN
ejpam-6681	210	20	and	and	CCONJ
ejpam-6681	210	21	mse	mse	NOUN
ejpam-6681	210	22	decrease	decrease	NOUN
ejpam-6681	210	23	,	,	PUNCT
ejpam-6681	210	24	demonstrating	demonstrate	VERB
ejpam-6681	210	25	that	that	SCONJ
ejpam-6681	210	26	the	the	DET
ejpam-6681	210	27	mles	mle	NOUN
ejpam-6681	210	28	preserve	preserve	VERB
ejpam-6681	210	29	the	the	DET
ejpam-6681	210	30	consistency	consistency	NOUN
ejpam-6681	210	31	property	property	NOUN
ejpam-6681	210	32	for	for	ADP
ejpam-6681	210	33	all	all	DET
ejpam-6681	210	34	parameter	parameter	NOUN
ejpam-6681	210	35	values	value	NOUN
ejpam-6681	210	36	.	.	PUNCT
ejpam-6681	211	1	additionally	additionally	ADV
ejpam-6681	211	2	,	,	PUNCT
ejpam-6681	211	3	both	both	CCONJ
ejpam-6681	211	4	the	the	DET
ejpam-6681	211	5	bias	bias	NOUN
ejpam-6681	211	6	and	and	CCONJ
ejpam-6681	211	7	mse	mse	NOUN
ejpam-6681	211	8	tend	tend	VERB
ejpam-6681	211	9	to	to	PART
ejpam-6681	211	10	increase	increase	VERB
ejpam-6681	211	11	as	as	ADP
ejpam-6681	211	12	the	the	DET
ejpam-6681	211	13	values	value	NOUN
ejpam-6681	211	14	of	of	ADP
ejpam-6681	211	15	θ	θ	PROPN
ejpam-6681	211	16	increase	increase	NOUN
ejpam-6681	211	17	.	.	PUNCT
ejpam-6681	212	1	the	the	DET
ejpam-6681	212	2	simulation	simulation	NOUN
ejpam-6681	212	3	results	result	NOUN
ejpam-6681	212	4	presented	present	VERB
ejpam-6681	212	5	in	in	ADP
ejpam-6681	212	6	tables	table	NOUN
ejpam-6681	212	7	1	1	NUM
ejpam-6681	212	8	and	and	CCONJ
ejpam-6681	212	9	2	2	NUM
ejpam-6681	212	10	decisively	decisively	ADV
ejpam-6681	212	11	demonstrate	demonstrate	VERB
ejpam-6681	212	12	the	the	DET
ejpam-6681	212	13	consistency	consistency	NOUN
ejpam-6681	212	14	and	and	CCONJ
ejpam-6681	212	15	robustness	robustness	NOUN
ejpam-6681	212	16	of	of	ADP
ejpam-6681	212	17	the	the	DET
ejpam-6681	212	18	maximum	maximum	ADJ
ejpam-6681	212	19	likelihood	likelihood	NOUN
ejpam-6681	212	20	estimators	estimator	NOUN
ejpam-6681	212	21	(	(	PUNCT
ejpam-6681	212	22	mles	mle	NOUN
ejpam-6681	212	23	)	)	PUNCT
ejpam-6681	212	24	for	for	ADP
ejpam-6681	212	25	the	the	DET
ejpam-6681	212	26	epanechnikovburr	epanechnikovburr	NOUN
ejpam-6681	212	27	xii	xii	NOUN
ejpam-6681	212	28	distribution	distribution	NOUN
ejpam-6681	212	29	.	.	PUNCT
ejpam-6681	213	1	as	as	SCONJ
ejpam-6681	213	2	theoretically	theoretically	ADV
ejpam-6681	213	3	expected	expect	VERB
ejpam-6681	213	4	,	,	PUNCT
ejpam-6681	213	5	for	for	ADP
ejpam-6681	213	6	both	both	DET
ejpam-6681	213	7	parameters	parameter	NOUN
ejpam-6681	213	8	θ	θ	PROPN
ejpam-6681	213	9	(	(	PUNCT
ejpam-6681	213	10	table	table	NOUN
ejpam-6681	213	11	1	1	NUM
ejpam-6681	213	12	)	)	PUNCT
ejpam-6681	213	13	and	and	CCONJ
ejpam-6681	213	14	α	α	NOUN
ejpam-6681	213	15	(	(	PUNCT
ejpam-6681	213	16	table	table	NOUN
ejpam-6681	213	17	2	2	NUM
ejpam-6681	213	18	)	)	PUNCT
ejpam-6681	213	19	,	,	PUNCT
ejpam-6681	213	20	the	the	DET
ejpam-6681	213	21	mean	mean	NOUN
ejpam-6681	213	22	squared	square	VERB
ejpam-6681	213	23	error	error	NOUN
ejpam-6681	213	24	(	(	PUNCT
ejpam-6681	213	25	mse	mse	NOUN
ejpam-6681	213	26	)	)	PUNCT
ejpam-6681	213	27	and	and	CCONJ
ejpam-6681	213	28	bias	bias	NOUN
ejpam-6681	213	29	exhibit	exhibit	VERB
ejpam-6681	213	30	a	a	DET
ejpam-6681	213	31	noticeable	noticeable	ADJ
ejpam-6681	213	32	and	and	CCONJ
ejpam-6681	213	33	monotonic	monotonic	ADJ
ejpam-6681	213	34	decline	decline	NOUN
ejpam-6681	213	35	as	as	SCONJ
ejpam-6681	213	36	the	the	DET
ejpam-6681	213	37	sample	sample	NOUN
ejpam-6681	213	38	size	size	NOUN
ejpam-6681	213	39	increases	increase	VERB
ejpam-6681	213	40	from	from	ADP
ejpam-6681	213	41	n	n	NOUN
ejpam-6681	213	42	=	=	NUM
ejpam-6681	213	43	20	20	NUM
ejpam-6681	213	44	to	to	ADP
ejpam-6681	213	45	n	n	NOUN
ejpam-6681	213	46	=	=	NUM
ejpam-6681	213	47	200	200	NUM
ejpam-6681	213	48	,	,	PUNCT
ejpam-6681	213	49	across	across	ADP
ejpam-6681	213	50	all	all	DET
ejpam-6681	213	51	true	true	ADJ
ejpam-6681	213	52	parameter	parameter	NOUN
ejpam-6681	213	53	values	value	NOUN
ejpam-6681	213	54	investigated	investigate	VERB
ejpam-6681	213	55	.	.	PUNCT
ejpam-6681	214	1	for	for	ADP
ejpam-6681	214	2	instance	instance	NOUN
ejpam-6681	214	3	,	,	PUNCT
ejpam-6681	214	4	when	when	SCONJ
ejpam-6681	214	5	estimating	estimate	VERB
ejpam-6681	214	6	θ	θ	PROPN
ejpam-6681	214	7	=	=	SYM
ejpam-6681	214	8	1.0	1.0	NUM
ejpam-6681	214	9	(	(	PUNCT
ejpam-6681	214	10	table	table	NOUN
ejpam-6681	214	11	1	1	NUM
ejpam-6681	214	12	)	)	PUNCT
ejpam-6681	214	13	,	,	PUNCT
ejpam-6681	214	14	the	the	DET
ejpam-6681	214	15	mse	mse	NOUN
ejpam-6681	214	16	decreases	decrease	VERB
ejpam-6681	214	17	from	from	ADP
ejpam-6681	214	18	0.0875	0.0875	NUM
ejpam-6681	214	19	to	to	ADP
ejpam-6681	214	20	0.0029	0.0029	NUM
ejpam-6681	214	21	,	,	PUNCT
ejpam-6681	214	22	while	while	SCONJ
ejpam-6681	214	23	the	the	DET
ejpam-6681	214	24	bias	bias	NOUN
ejpam-6681	214	25	reduces	reduce	VERB
ejpam-6681	214	26	from	from	ADP
ejpam-6681	214	27	0.2415	0.2415	NUM
ejpam-6681	214	28	to	to	ADP
ejpam-6681	214	29	0.0065	0.0065	NUM
ejpam-6681	214	30	.	.	PUNCT
ejpam-6681	215	1	a	a	DET
ejpam-6681	215	2	similar	similar	ADJ
ejpam-6681	215	3	consistent	consistent	ADJ
ejpam-6681	215	4	pattern	pattern	NOUN
ejpam-6681	215	5	is	be	AUX
ejpam-6681	215	6	observed	observe	VERB
ejpam-6681	215	7	for	for	ADP
ejpam-6681	215	8	the	the	DET
ejpam-6681	215	9	shape	shape	NOUN
ejpam-6681	215	10	parameter	parameter	NOUN
ejpam-6681	215	11	α	α	PROPN
ejpam-6681	215	12	in	in	ADP
ejpam-6681	215	13	table	table	NOUN
ejpam-6681	215	14	2	2	NUM
ejpam-6681	215	15	.	.	PUNCT
ejpam-6681	216	1	this	this	DET
ejpam-6681	216	2	distinct	distinct	ADJ
ejpam-6681	216	3	trend	trend	NOUN
ejpam-6681	216	4	confirms	confirm	VERB
ejpam-6681	216	5	that	that	SCONJ
ejpam-6681	216	6	the	the	DET
ejpam-6681	216	7	mles	mle	NOUN
ejpam-6681	216	8	converge	converge	VERB
ejpam-6681	216	9	to	to	ADP
ejpam-6681	216	10	the	the	DET
ejpam-6681	216	11	true	true	ADJ
ejpam-6681	216	12	parameter	parameter	NOUN
ejpam-6681	216	13	values	value	NOUN
ejpam-6681	216	14	,	,	PUNCT
ejpam-6681	216	15	with	with	ADP
ejpam-6681	216	16	estimation	estimation	NOUN
ejpam-6681	216	17	precision	precision	NOUN
ejpam-6681	216	18	greatly	greatly	ADV
ejpam-6681	216	19	improving	improve	VERB
ejpam-6681	216	20	for	for	ADP
ejpam-6681	216	21	larger	large	ADJ
ejpam-6681	216	22	samples	sample	NOUN
ejpam-6681	216	23	.	.	PUNCT
ejpam-6681	217	1	the	the	DET
ejpam-6681	217	2	observed	observe	VERB
ejpam-6681	217	3	positive	positive	ADJ
ejpam-6681	217	4	bias	bias	NOUN
ejpam-6681	217	5	for	for	ADP
ejpam-6681	217	6	smaller	small	ADJ
ejpam-6681	217	7	sample	sample	NOUN
ejpam-6681	217	8	sizes	size	NOUN
ejpam-6681	217	9	is	be	AUX
ejpam-6681	217	10	a	a	DET
ejpam-6681	217	11	common	common	ADJ
ejpam-6681	217	12	feature	feature	NOUN
ejpam-6681	217	13	of	of	ADP
ejpam-6681	217	14	mle	mle	PROPN
ejpam-6681	217	15	for	for	ADP
ejpam-6681	217	16	complex	complex	ADJ
ejpam-6681	217	17	distributions	distribution	NOUN
ejpam-6681	217	18	and	and	CCONJ
ejpam-6681	217	19	diminishes	diminish	VERB
ejpam-6681	217	20	rapidly	rapidly	ADV
ejpam-6681	217	21	.	.	PUNCT
ejpam-6681	218	1	overall	overall	ADV
ejpam-6681	218	2	,	,	PUNCT
ejpam-6681	218	3	the	the	DET
ejpam-6681	218	4	simulation	simulation	NOUN
ejpam-6681	218	5	provides	provide	VERB
ejpam-6681	218	6	compelling	compelling	ADJ
ejpam-6681	218	7	empirical	empirical	ADJ
ejpam-6681	218	8	evidence	evidence	NOUN
ejpam-6681	218	9	for	for	ADP
ejpam-6681	218	10	the	the	DET
ejpam-6681	218	11	asymptotic	asymptotic	ADJ
ejpam-6681	218	12	properties	property	NOUN
ejpam-6681	218	13	,	,	PUNCT
ejpam-6681	218	14	reliability	reliability	NOUN
ejpam-6681	218	15	,	,	PUNCT
ejpam-6681	218	16	and	and	CCONJ
ejpam-6681	218	17	practical	practical	ADJ
ejpam-6681	218	18	utility	utility	NOUN
ejpam-6681	218	19	of	of	ADP
ejpam-6681	218	20	the	the	DET
ejpam-6681	218	21	proposed	propose	VERB
ejpam-6681	218	22	estimation	estimation	NOUN
ejpam-6681	218	23	method	method	NOUN
ejpam-6681	218	24	.	.	PUNCT
ejpam-6681	219	1	8.1	8.1	NUM
ejpam-6681	219	2	.	.	PUNCT
ejpam-6681	220	1	computation	computation	NOUN
ejpam-6681	220	2	and	and	CCONJ
ejpam-6681	220	3	reproducibility	reproducibility	NOUN
ejpam-6681	220	4	all	all	DET
ejpam-6681	220	5	numerical	numerical	ADJ
ejpam-6681	220	6	results	result	NOUN
ejpam-6681	220	7	and	and	CCONJ
ejpam-6681	220	8	simulations	simulation	NOUN
ejpam-6681	220	9	were	be	AUX
ejpam-6681	220	10	obtained	obtain	VERB
ejpam-6681	220	11	using	use	VERB
ejpam-6681	220	12	r	r	NOUN
ejpam-6681	220	13	version	version	NOUN
ejpam-6681	220	14	4.3.0	4.3.0	NUM
ejpam-6681	220	15	.	.	PUNCT
ejpam-6681	221	1	the	the	DET
ejpam-6681	221	2	optim	optim	ADJ
ejpam-6681	221	3	(	(	PUNCT
ejpam-6681	221	4	)	)	PUNCT
ejpam-6681	221	5	function	function	NOUN
ejpam-6681	221	6	with	with	ADP
ejpam-6681	221	7	method	method	NOUN
ejpam-6681	221	8	=	=	SYM
ejpam-6681	221	9	'	'	PUNCT
ejpam-6681	221	10	l	l	NOUN
ejpam-6681	221	11	-	-	ADJ
ejpam-6681	221	12	bfgs	bfgs	ADJ
ejpam-6681	221	13	-	-	PUNCT
ejpam-6681	221	14	b	b	NOUN
ejpam-6681	221	15	'	'	PUNCT
ejpam-6681	221	16	was	be	AUX
ejpam-6681	221	17	employed	employ	VERB
ejpam-6681	221	18	for	for	ADP
ejpam-6681	221	19	maximum	maximum	ADJ
ejpam-6681	221	20	likelihood	likelihood	NOUN
ejpam-6681	221	21	estimation	estimation	NOUN
ejpam-6681	221	22	.	.	PUNCT
ejpam-6681	222	1	n.	n.	PROPN
ejpam-6681	222	2	odat	odat	PROPN
ejpam-6681	222	3	et	et	PROPN
ejpam-6681	222	4	al	al	PROPN
ejpam-6681	222	5	.	.	PUNCT
ejpam-6681	222	6	/	/	SYM
ejpam-6681	222	7	eur	eur	PROPN
ejpam-6681	222	8	.	.	PUNCT
ejpam-6681	223	1	j.	j.	PROPN
ejpam-6681	223	2	pure	pure	PROPN
ejpam-6681	223	3	appl	appl	PROPN
ejpam-6681	223	4	.	.	PROPN
ejpam-6681	223	5	math	math	PROPN
ejpam-6681	223	6	,	,	PUNCT
ejpam-6681	223	7	18	18	NUM
ejpam-6681	223	8	(	(	PUNCT
ejpam-6681	223	9	4	4	NUM
ejpam-6681	223	10	)	)	PUNCT
ejpam-6681	223	11	(	(	PUNCT
ejpam-6681	223	12	2025	2025	NUM
ejpam-6681	223	13	)	)	PUNCT
ejpam-6681	223	14	,	,	PUNCT
ejpam-6681	223	15	6681	6681	NUM
ejpam-6681	223	16	11	11	NUM
ejpam-6681	223	17	of	of	ADP
ejpam-6681	223	18	15	15	NUM
ejpam-6681	223	19	table	table	NOUN
ejpam-6681	223	20	1	1	NUM
ejpam-6681	223	21	:	:	PUNCT
ejpam-6681	223	22	simulation	simulation	NOUN
ejpam-6681	223	23	results	result	VERB
ejpam-6681	223	24	for	for	ADP
ejpam-6681	223	25	the	the	DET
ejpam-6681	223	26	mle	mle	NOUN
ejpam-6681	223	27	of	of	ADP
ejpam-6681	223	28	parameter	parameter	PROPN
ejpam-6681	223	29	θ	θ	PROPN
ejpam-6681	223	30	:	:	PUNCT
ejpam-6681	223	31	bias	bias	NOUN
ejpam-6681	223	32	,	,	PUNCT
ejpam-6681	223	33	standard	standard	ADJ
ejpam-6681	223	34	deviation	deviation	NOUN
ejpam-6681	223	35	(	(	PUNCT
ejpam-6681	223	36	sd	sd	NOUN
ejpam-6681	223	37	)	)	PUNCT
ejpam-6681	223	38	,	,	PUNCT
ejpam-6681	223	39	and	and	CCONJ
ejpam-6681	223	40	mean	mean	VERB
ejpam-6681	223	41	squared	square	VERB
ejpam-6681	223	42	error	error	NOUN
ejpam-6681	223	43	(	(	PUNCT
ejpam-6681	223	44	mse	mse	NOUN
ejpam-6681	223	45	)	)	PUNCT
ejpam-6681	223	46	across	across	ADP
ejpam-6681	223	47	various	various	ADJ
ejpam-6681	223	48	sample	sample	NOUN
ejpam-6681	223	49	sizes	size	NOUN
ejpam-6681	223	50	(	(	PUNCT
ejpam-6681	223	51	α	α	NOUN
ejpam-6681	223	52	=	=	SYM
ejpam-6681	223	53	1	1	NUM
ejpam-6681	223	54	fixed	fix	VERB
ejpam-6681	223	55	)	)	PUNCT
ejpam-6681	223	56	.	.	PUNCT
ejpam-6681	224	1	n	n	NUM
ejpam-6681	224	2	θ	θ	PROPN
ejpam-6681	224	3	θ̂	θ̂	NOUN
ejpam-6681	224	4	bias	bias	NOUN
ejpam-6681	224	5	sd	sd	ADP
ejpam-6681	224	6	mse	mse	PROPN
ejpam-6681	224	7	20	20	NUM
ejpam-6681	224	8	0.5	0.5	NUM
ejpam-6681	224	9	0.6241	0.6241	NUM
ejpam-6681	224	10	0.1241	0.1241	NUM
ejpam-6681	224	11	0.1590	0.1590	NUM
ejpam-6681	224	12	0.0412	0.0412	NUM
ejpam-6681	224	13	50	50	NUM
ejpam-6681	224	14	0.5	0.5	NUM
ejpam-6681	224	15	0.5519	0.5519	NUM
ejpam-6681	224	16	0.0519	0.0519	NUM
ejpam-6681	224	17	0.1145	0.1145	NUM
ejpam-6681	224	18	0.0158	0.0158	NUM
ejpam-6681	224	19	100	100	NUM
ejpam-6681	224	20	0.5	0.5	NUM
ejpam-6681	224	21	0.5218	0.5218	NUM
ejpam-6681	224	22	0.0218	0.0218	NUM
ejpam-6681	224	23	0.0775	0.0775	NUM
ejpam-6681	224	24	0.0063	0.0063	NUM
ejpam-6681	224	25	150	150	NUM
ejpam-6681	224	26	0.5	0.5	NUM
ejpam-6681	224	27	0.5087	0.5087	NUM
ejpam-6681	224	28	0.0087	0.0087	NUM
ejpam-6681	224	29	0.0535	0.0535	NUM
ejpam-6681	224	30	0.0029	0.0029	NUM
ejpam-6681	224	31	200	200	NUM
ejpam-6681	224	32	0.5	0.5	NUM
ejpam-6681	224	33	0.5032	0.5032	NUM
ejpam-6681	224	34	0.0032	0.0032	NUM
ejpam-6681	224	35	0.0387	0.0387	NUM
ejpam-6681	224	36	0.0015	0.0015	NUM
ejpam-6681	224	37	20	20	NUM
ejpam-6681	224	38	1	1	NUM
ejpam-6681	224	39	1.2415	1.2415	NUM
ejpam-6681	224	40	0.2415	0.2415	NUM
ejpam-6681	224	41	0.1693	0.1693	NUM
ejpam-6681	224	42	0.0875	0.0875	NUM
ejpam-6681	224	43	50	50	NUM
ejpam-6681	224	44	1	1	NUM
ejpam-6681	224	45	1.1023	1.1023	NUM
ejpam-6681	224	46	0.1023	0.1023	NUM
ejpam-6681	224	47	0.1326	0.1326	NUM
ejpam-6681	224	48	0.0281	0.0281	NUM
ejpam-6681	224	49	100	100	NUM
ejpam-6681	224	50	1	1	NUM
ejpam-6681	224	51	1.0431	1.0431	NUM
ejpam-6681	224	52	0.0431	0.0431	NUM
ejpam-6681	224	53	0.0975	0.0975	NUM
ejpam-6681	225	1	0.0112	0.0112	NUM
ejpam-6681	225	2	150	150	NUM
ejpam-6681	225	3	1	1	NUM
ejpam-6681	225	4	1.0174	1.0174	NUM
ejpam-6681	225	5	0.0174	0.0174	NUM
ejpam-6681	225	6	0.0742	0.0742	NUM
ejpam-6681	225	7	0.0058	0.0058	NUM
ejpam-6681	225	8	200	200	NUM
ejpam-6681	225	9	1	1	NUM
ejpam-6681	225	10	1.0065	1.0065	NUM
ejpam-6681	225	11	0.0065	0.0065	NUM
ejpam-6681	225	12	0.0538	0.0538	NUM
ejpam-6681	225	13	0.0029	0.0029	NUM
ejpam-6681	225	14	20	20	NUM
ejpam-6681	225	15	1.5	1.5	NUM
ejpam-6681	225	16	1.8623	1.8623	NUM
ejpam-6681	225	17	0.3623	0.3623	NUM
ejpam-6681	225	18	0.2625	0.2625	NUM
ejpam-6681	225	19	0.1982	0.1982	NUM
ejpam-6681	225	20	50	50	NUM
ejpam-6681	225	21	1.5	1.5	NUM
ejpam-6681	225	22	1.6531	1.6531	NUM
ejpam-6681	225	23	0.1531	0.1531	NUM
ejpam-6681	225	24	0.1956	0.1956	NUM
ejpam-6681	225	25	0.0625	0.0625	NUM
ejpam-6681	225	26	100	100	NUM
ejpam-6681	225	27	1.5	1.5	NUM
ejpam-6681	225	28	1.5648	1.5648	NUM
ejpam-6681	225	29	0.0648	0.0648	NUM
ejpam-6681	225	30	0.1410	0.1410	NUM
ejpam-6681	225	31	0.0241	0.0241	NUM
ejpam-6681	225	32	150	150	NUM
ejpam-6681	225	33	1.5	1.5	NUM
ejpam-6681	225	34	1.5261	1.5261	NUM
ejpam-6681	225	35	0.0261	0.0261	NUM
ejpam-6681	225	36	0.1052	0.1052	NUM
ejpam-6681	225	37	0.0115	0.0115	NUM
ejpam-6681	225	38	200	200	NUM
ejpam-6681	225	39	1.5	1.5	NUM
ejpam-6681	225	40	1.5098	1.5098	NUM
ejpam-6681	225	41	0.0098	0.0098	NUM
ejpam-6681	225	42	0.0784	0.0784	NUM
ejpam-6681	225	43	0.0062	0.0062	NUM
ejpam-6681	225	44	20	20	NUM
ejpam-6681	225	45	2	2	NUM
ejpam-6681	225	46	2.4127	2.4127	NUM
ejpam-6681	225	47	0.4127	0.4127	NUM
ejpam-6681	225	48	0.2868	0.2868	NUM
ejpam-6681	225	49	0.2518	0.2518	NUM
ejpam-6681	225	50	50	50	NUM
ejpam-6681	225	51	2	2	NUM
ejpam-6681	225	52	2.2041	2.2041	NUM
ejpam-6681	225	53	0.2041	0.2041	NUM
ejpam-6681	225	54	0.2158	0.2158	NUM
ejpam-6681	225	55	0.0884	0.0884	NUM
ejpam-6681	225	56	100	100	NUM
ejpam-6681	225	57	2	2	NUM
ejpam-6681	225	58	2.0875	2.0875	NUM
ejpam-6681	225	59	0.0875	0.0875	NUM
ejpam-6681	225	60	0.1668	0.1668	NUM
ejpam-6681	225	61	0.0352	0.0352	NUM
ejpam-6681	225	62	150	150	NUM
ejpam-6681	225	63	2	2	NUM
ejpam-6681	225	64	2.0348	2.0348	NUM
ejpam-6681	225	65	0.0348	0.0348	NUM
ejpam-6681	225	66	0.1302	0.1302	NUM
ejpam-6681	225	67	0.0181	0.0181	NUM
ejpam-6681	225	68	200	200	NUM
ejpam-6681	225	69	2	2	NUM
ejpam-6681	225	70	2.0121	2.0121	NUM
ejpam-6681	225	71	0.0121	0.0121	NUM
ejpam-6681	225	72	0.0930	0.0930	NUM
ejpam-6681	225	73	0.0087	0.0087	NUM
ejpam-6681	225	74	random	random	ADJ
ejpam-6681	225	75	samples	sample	NOUN
ejpam-6681	225	76	from	from	ADP
ejpam-6681	225	77	the	the	DET
ejpam-6681	225	78	ebd	ebd	NOUN
ejpam-6681	225	79	were	be	AUX
ejpam-6681	225	80	generated	generate	VERB
ejpam-6681	225	81	via	via	ADP
ejpam-6681	225	82	the	the	DET
ejpam-6681	225	83	inverse	inverse	NOUN
ejpam-6681	225	84	cdf	cdf	NOUN
ejpam-6681	225	85	method	method	NOUN
ejpam-6681	225	86	using	use	VERB
ejpam-6681	225	87	equation	equation	NOUN
ejpam-6681	225	88	(	(	PUNCT
ejpam-6681	225	89	2.1	2.1	NUM
ejpam-6681	225	90	)	)	PUNCT
ejpam-6681	225	91	.	.	PUNCT
ejpam-6681	226	1	the	the	DET
ejpam-6681	226	2	code	code	NOUN
ejpam-6681	226	3	used	use	VERB
ejpam-6681	226	4	for	for	ADP
ejpam-6681	226	5	all	all	DET
ejpam-6681	226	6	analyses	analysis	NOUN
ejpam-6681	226	7	is	be	AUX
ejpam-6681	226	8	available	available	ADJ
ejpam-6681	226	9	from	from	ADP
ejpam-6681	226	10	the	the	DET
ejpam-6681	226	11	corresponding	corresponding	ADJ
ejpam-6681	226	12	author	author	NOUN
ejpam-6681	226	13	upon	upon	SCONJ
ejpam-6681	226	14	reasonable	reasonable	ADJ
ejpam-6681	226	15	request	request	NOUN
ejpam-6681	226	16	.	.	PUNCT
ejpam-6681	227	1	9	9	X
ejpam-6681	227	2	.	.	X
ejpam-6681	227	3	application	application	NOUN
ejpam-6681	227	4	for	for	ADP
ejpam-6681	227	5	the	the	DET
ejpam-6681	227	6	data	datum	NOUN
ejpam-6681	227	7	set	set	VERB
ejpam-6681	227	8	below	below	ADV
ejpam-6681	227	9	,	,	PUNCT
ejpam-6681	227	10	the	the	DET
ejpam-6681	227	11	values	value	NOUN
ejpam-6681	227	12	of	of	ADP
ejpam-6681	227	13	−2	−2	NOUN
ejpam-6681	227	14	logl	logl	NOUN
ejpam-6681	227	15	(	(	PUNCT
ejpam-6681	227	16	negative	negative	ADJ
ejpam-6681	227	17	two	two	NUM
ejpam-6681	227	18	times	time	NOUN
ejpam-6681	227	19	the	the	DET
ejpam-6681	227	20	log	log	NOUN
ejpam-6681	227	21	-	-	PUNCT
ejpam-6681	227	22	likelihood	likelihood	NOUN
ejpam-6681	227	23	)	)	PUNCT
ejpam-6681	227	24	,	,	PUNCT
ejpam-6681	227	25	akaike	akaike	ADP
ejpam-6681	227	26	information	information	NOUN
ejpam-6681	227	27	criterion	criterion	NOUN
ejpam-6681	227	28	(	(	PUNCT
ejpam-6681	227	29	aic	aic	PROPN
ejpam-6681	227	30	)	)	PUNCT
ejpam-6681	227	31	,	,	PUNCT
ejpam-6681	227	32	and	and	CCONJ
ejpam-6681	227	33	bayesian	bayesian	NOUN
ejpam-6681	227	34	information	information	NOUN
ejpam-6681	227	35	criterion	criterion	NOUN
ejpam-6681	227	36	(	(	PUNCT
ejpam-6681	227	37	bic	bic	PROPN
ejpam-6681	227	38	)	)	PUNCT
ejpam-6681	227	39	were	be	AUX
ejpam-6681	227	40	obtained	obtain	VERB
ejpam-6681	227	41	.	.	PUNCT
ejpam-6681	228	1	9.1	9.1	NUM
ejpam-6681	228	2	.	.	PUNCT
ejpam-6681	228	3	data	datum	NOUN
ejpam-6681	228	4	the	the	DET
ejpam-6681	228	5	data	datum	NOUN
ejpam-6681	228	6	set	set	VERB
ejpam-6681	228	7	listed	list	VERB
ejpam-6681	228	8	below	below	ADP
ejpam-6681	228	9	corresponds	correspond	NOUN
ejpam-6681	228	10	to	to	ADP
ejpam-6681	228	11	patients	patient	NOUN
ejpam-6681	228	12	in	in	ADP
ejpam-6681	228	13	the	the	DET
ejpam-6681	228	14	arm	arm	NOUN
ejpam-6681	228	15	of	of	ADP
ejpam-6681	228	16	the	the	DET
ejpam-6681	228	17	head	head	NOUN
ejpam-6681	228	18	-	-	PUNCT
ejpam-6681	228	19	and	and	CCONJ
ejpam-6681	228	20	-	-	PUNCT
ejpam-6681	228	21	neck	neck	NOUN
ejpam-6681	228	22	cancer	cancer	NOUN
ejpam-6681	228	23	study	study	NOUN
ejpam-6681	228	24	[	[	X
ejpam-6681	228	25	15	15	NUM
ejpam-6681	228	26	]	]	SYM
ejpam-6681	228	27	:	:	PUNCT
ejpam-6681	228	28	7	7	NUM
ejpam-6681	228	29	,	,	PUNCT
ejpam-6681	228	30	34	34	NUM
ejpam-6681	228	31	,	,	PUNCT
ejpam-6681	228	32	42	42	NUM
ejpam-6681	228	33	,	,	PUNCT
ejpam-6681	228	34	63	63	NUM
ejpam-6681	228	35	,	,	PUNCT
ejpam-6681	228	36	64	64	NUM
ejpam-6681	228	37	,	,	PUNCT
ejpam-6681	228	38	74	74	NUM
ejpam-6681	228	39	,	,	PUNCT
ejpam-6681	228	40	83	83	NUM
ejpam-6681	228	41	,	,	PUNCT
ejpam-6681	228	42	84	84	NUM
ejpam-6681	228	43	,	,	PUNCT
ejpam-6681	228	44	91	91	NUM
ejpam-6681	228	45	,	,	PUNCT
ejpam-6681	228	46	108	108	NUM
ejpam-6681	228	47	,	,	PUNCT
ejpam-6681	228	48	112	112	NUM
ejpam-6681	228	49	,	,	PUNCT
ejpam-6681	228	50	129	129	NUM
ejpam-6681	228	51	,	,	PUNCT
ejpam-6681	228	52	133	133	NUM
ejpam-6681	228	53	,	,	PUNCT
ejpam-6681	228	54	133	133	NUM
ejpam-6681	228	55	,	,	PUNCT
ejpam-6681	228	56	139	139	NUM
ejpam-6681	228	57	,	,	PUNCT
ejpam-6681	228	58	140	140	NUM
ejpam-6681	228	59	,	,	PUNCT
ejpam-6681	228	60	140	140	NUM
ejpam-6681	228	61	,	,	PUNCT
ejpam-6681	228	62	146	146	NUM
ejpam-6681	228	63	,	,	PUNCT
ejpam-6681	228	64	149	149	NUM
ejpam-6681	228	65	,	,	PUNCT
ejpam-6681	228	66	154	154	NUM
ejpam-6681	228	67	,	,	PUNCT
ejpam-6681	228	68	157	157	NUM
ejpam-6681	228	69	,	,	PUNCT
ejpam-6681	228	70	160	160	NUM
ejpam-6681	228	71	,	,	PUNCT
ejpam-6681	228	72	160	160	NUM
ejpam-6681	228	73	,	,	PUNCT
ejpam-6681	228	74	165	165	NUM
ejpam-6681	228	75	,	,	PUNCT
ejpam-6681	228	76	173	173	NUM
ejpam-6681	228	77	,	,	PUNCT
ejpam-6681	228	78	176	176	NUM
ejpam-6681	228	79	,	,	PUNCT
ejpam-6681	228	80	185	185	NUM
ejpam-6681	228	81	,	,	PUNCT
ejpam-6681	228	82	218	218	NUM
ejpam-6681	228	83	,	,	PUNCT
ejpam-6681	228	84	225	225	NUM
ejpam-6681	228	85	,	,	PUNCT
ejpam-6681	228	86	241	241	NUM
ejpam-6681	228	87	,	,	PUNCT
ejpam-6681	228	88	248	248	NUM
ejpam-6681	228	89	,	,	PUNCT
ejpam-6681	228	90	273	273	NUM
ejpam-6681	228	91	,	,	PUNCT
ejpam-6681	228	92	277	277	NUM
ejpam-6681	228	93	,	,	PUNCT
ejpam-6681	228	94	279	279	NUM
ejpam-6681	228	95	,	,	PUNCT
ejpam-6681	228	96	297	297	NUM
ejpam-6681	228	97	,	,	PUNCT
ejpam-6681	228	98	319	319	NUM
ejpam-6681	228	99	,	,	PUNCT
ejpam-6681	228	100	405	405	NUM
ejpam-6681	228	101	,	,	PUNCT
ejpam-6681	228	102	417	417	NUM
ejpam-6681	228	103	,	,	PUNCT
ejpam-6681	228	104	420	420	NUM
ejpam-6681	228	105	,	,	PUNCT
ejpam-6681	228	106	440	440	NUM
ejpam-6681	228	107	,	,	PUNCT
ejpam-6681	228	108	523	523	NUM
ejpam-6681	228	109	,	,	PUNCT
ejpam-6681	228	110	523	523	NUM
ejpam-6681	228	111	,	,	PUNCT
ejpam-6681	228	112	583	583	NUM
ejpam-6681	228	113	,	,	PUNCT
ejpam-6681	228	114	594	594	NUM
ejpam-6681	228	115	,	,	PUNCT
ejpam-6681	228	116	1101	1101	NUM
ejpam-6681	228	117	,	,	PUNCT
ejpam-6681	228	118	1116	1116	NUM
ejpam-6681	228	119	,	,	PUNCT
ejpam-6681	228	120	1146	1146	NUM
ejpam-6681	228	121	,	,	PUNCT
ejpam-6681	228	122	1226	1226	NUM
ejpam-6681	228	123	,	,	PUNCT
ejpam-6681	228	124	1349	1349	NUM
ejpam-6681	228	125	,	,	PUNCT
ejpam-6681	228	126	1412	1412	NUM
ejpam-6681	228	127	,	,	PUNCT
ejpam-6681	228	128	1417	1417	NUM
ejpam-6681	228	129	n.	n.	NOUN
ejpam-6681	228	130	odat	odat	NOUN
ejpam-6681	228	131	et	et	PROPN
ejpam-6681	228	132	al	al	PROPN
ejpam-6681	228	133	.	.	PUNCT
ejpam-6681	228	134	/	/	SYM
ejpam-6681	228	135	eur	eur	PROPN
ejpam-6681	228	136	.	.	PUNCT
ejpam-6681	229	1	j.	j.	PROPN
ejpam-6681	229	2	pure	pure	PROPN
ejpam-6681	229	3	appl	appl	PROPN
ejpam-6681	229	4	.	.	PROPN
ejpam-6681	229	5	math	math	PROPN
ejpam-6681	229	6	,	,	PUNCT
ejpam-6681	229	7	18	18	NUM
ejpam-6681	229	8	(	(	PUNCT
ejpam-6681	229	9	4	4	NUM
ejpam-6681	229	10	)	)	PUNCT
ejpam-6681	229	11	(	(	PUNCT
ejpam-6681	229	12	2025	2025	NUM
ejpam-6681	229	13	)	)	PUNCT
ejpam-6681	229	14	,	,	PUNCT
ejpam-6681	229	15	6681	6681	NUM
ejpam-6681	229	16	12	12	NUM
ejpam-6681	229	17	of	of	ADP
ejpam-6681	229	18	15	15	NUM
ejpam-6681	229	19	table	table	NOUN
ejpam-6681	229	20	2	2	NUM
ejpam-6681	229	21	:	:	PUNCT
ejpam-6681	229	22	simulation	simulation	NOUN
ejpam-6681	229	23	results	result	VERB
ejpam-6681	229	24	for	for	ADP
ejpam-6681	229	25	the	the	DET
ejpam-6681	229	26	mle	mle	NOUN
ejpam-6681	229	27	of	of	ADP
ejpam-6681	229	28	parameter	parameter	PROPN
ejpam-6681	229	29	α	α	NOUN
ejpam-6681	229	30	:	:	PUNCT
ejpam-6681	229	31	bias	bias	NOUN
ejpam-6681	229	32	and	and	CCONJ
ejpam-6681	229	33	mean	mean	VERB
ejpam-6681	229	34	squared	square	VERB
ejpam-6681	229	35	error	error	NOUN
ejpam-6681	229	36	(	(	PUNCT
ejpam-6681	229	37	mse	mse	NOUN
ejpam-6681	229	38	)	)	PUNCT
ejpam-6681	229	39	across	across	ADP
ejpam-6681	229	40	various	various	ADJ
ejpam-6681	229	41	sample	sample	NOUN
ejpam-6681	229	42	sizes	size	NOUN
ejpam-6681	229	43	(	(	PUNCT
ejpam-6681	229	44	θ	θ	NOUN
ejpam-6681	229	45	=	=	SYM
ejpam-6681	229	46	1	1	NUM
ejpam-6681	229	47	fixed	fix	VERB
ejpam-6681	229	48	)	)	PUNCT
ejpam-6681	229	49	.	.	PUNCT
ejpam-6681	230	1	n	n	CCONJ
ejpam-6681	230	2	α	α	NOUN
ejpam-6681	230	3	α̂	α̂	NOUN
ejpam-6681	230	4	bias	bias	NOUN
ejpam-6681	230	5	mse	mse	NOUN
ejpam-6681	230	6	20	20	NUM
ejpam-6681	230	7	0.5	0.5	NUM
ejpam-6681	230	8	0.525	0.525	NUM
ejpam-6681	230	9	0.0248	0.0248	NUM
ejpam-6681	230	10	0.0032	0.0032	NUM
ejpam-6681	230	11	50	50	NUM
ejpam-6681	230	12	0.5	0.5	NUM
ejpam-6681	230	13	0.508	0.508	NUM
ejpam-6681	230	14	0.0084	0.0084	NUM
ejpam-6681	230	15	0.0009	0.0009	NUM
ejpam-6681	230	16	100	100	NUM
ejpam-6681	230	17	0.5	0.5	NUM
ejpam-6681	230	18	0.502	0.502	NUM
ejpam-6681	230	19	0.0021	0.0021	NUM
ejpam-6681	230	20	0.0004	0.0004	NUM
ejpam-6681	230	21	150	150	NUM
ejpam-6681	230	22	0.5	0.5	NUM
ejpam-6681	230	23	0.501	0.501	NUM
ejpam-6681	230	24	0.0009	0.0009	NUM
ejpam-6681	230	25	0.0003	0.0003	NUM
ejpam-6681	230	26	200	200	NUM
ejpam-6681	230	27	0.5	0.5	NUM
ejpam-6681	230	28	0.500	0.500	NUM
ejpam-6681	230	29	0.0002	0.0002	NUM
ejpam-6681	230	30	0.0002	0.0002	NUM
ejpam-6681	230	31	20	20	NUM
ejpam-6681	230	32	1.5	1.5	NUM
ejpam-6681	230	33	1.573	1.573	NUM
ejpam-6681	230	34	0.0734	0.0734	NUM
ejpam-6681	230	35	0.0129	0.0129	NUM
ejpam-6681	230	36	50	50	NUM
ejpam-6681	230	37	1.5	1.5	NUM
ejpam-6681	230	38	1.522	1.522	NUM
ejpam-6681	230	39	0.0219	0.0219	NUM
ejpam-6681	230	40	0.0054	0.0054	NUM
ejpam-6681	230	41	100	100	NUM
ejpam-6681	230	42	1.5	1.5	NUM
ejpam-6681	230	43	1.509	1.509	NUM
ejpam-6681	230	44	0.0088	0.0088	NUM
ejpam-6681	230	45	0.0029	0.0029	NUM
ejpam-6681	230	46	150	150	NUM
ejpam-6681	230	47	1.5	1.5	NUM
ejpam-6681	230	48	1.503	1.503	NUM
ejpam-6681	230	49	0.0032	0.0032	NUM
ejpam-6681	230	50	0.0015	0.0015	NUM
ejpam-6681	230	51	200	200	NUM
ejpam-6681	230	52	1.5	1.5	NUM
ejpam-6681	230	53	1.501	1.501	NUM
ejpam-6681	230	54	0.0011	0.0011	NUM
ejpam-6681	230	55	0.0010	0.0010	NUM
ejpam-6681	230	56	20	20	NUM
ejpam-6681	230	57	2	2	NUM
ejpam-6681	230	58	2.099	2.099	NUM
ejpam-6681	230	59	0.0988	0.0988	NUM
ejpam-6681	230	60	0.0254	0.0254	NUM
ejpam-6681	230	61	50	50	NUM
ejpam-6681	230	62	2	2	NUM
ejpam-6681	230	63	2.043	2.043	NUM
ejpam-6681	230	64	0.0432	0.0432	NUM
ejpam-6681	230	65	0.0123	0.0123	NUM
ejpam-6681	230	66	100	100	NUM
ejpam-6681	230	67	2	2	NUM
ejpam-6681	230	68	2.022	2.022	NUM
ejpam-6681	230	69	0.0219	0.0219	NUM
ejpam-6681	230	70	0.0065	0.0065	NUM
ejpam-6681	230	71	150	150	NUM
ejpam-6681	230	72	2	2	NUM
ejpam-6681	230	73	2.012	2.012	NUM
ejpam-6681	230	74	0.0123	0.0123	NUM
ejpam-6681	230	75	0.0035	0.0035	NUM
ejpam-6681	230	76	200	200	NUM
ejpam-6681	230	77	2	2	NUM
ejpam-6681	230	78	2.007	2.007	NUM
ejpam-6681	230	79	0.0065	0.0065	NUM
ejpam-6681	230	80	0.0021	0.0021	NUM
ejpam-6681	230	81	table	table	NOUN
ejpam-6681	230	82	3	3	NUM
ejpam-6681	230	83	:	:	PUNCT
ejpam-6681	230	84	goodness	goodness	NOUN
ejpam-6681	230	85	-	-	PUNCT
ejpam-6681	230	86	of	of	ADP
ejpam-6681	230	87	-	-	PUNCT
ejpam-6681	230	88	fit	fit	ADJ
ejpam-6681	230	89	comparison	comparison	NOUN
ejpam-6681	230	90	for	for	ADP
ejpam-6681	230	91	the	the	DET
ejpam-6681	230	92	head	head	NOUN
ejpam-6681	230	93	-	-	PUNCT
ejpam-6681	230	94	and	and	CCONJ
ejpam-6681	230	95	-	-	PUNCT
ejpam-6681	230	96	neck	neck	NOUN
ejpam-6681	230	97	-	-	PUNCT
ejpam-6681	230	98	cancer	cancer	NOUN
ejpam-6681	230	99	survival	survival	NOUN
ejpam-6681	230	100	data	datum	NOUN
ejpam-6681	230	101	(	(	PUNCT
ejpam-6681	230	102	n	n	NOUN
ejpam-6681	230	103	=	=	SYM
ejpam-6681	230	104	51	51	NUM
ejpam-6681	230	105	)	)	PUNCT
ejpam-6681	230	106	model	model	NOUN
ejpam-6681	230	107	α̂	α̂	NUM
ejpam-6681	230	108	θ̂	θ̂	X
ejpam-6681	230	109	−2	−2	PROPN
ejpam-6681	230	110	logl(θ	logl(θ	PROPN
ejpam-6681	230	111	)	)	PUNCT
ejpam-6681	230	112	aic	aic	PROPN
ejpam-6681	230	113	bic	bic	PROPN
ejpam-6681	230	114	ks	ks	PROPN
ejpam-6681	230	115	ks	ks	PROPN
ejpam-6681	230	116	p	p	PROPN
ejpam-6681	230	117	-	-	PUNCT
ejpam-6681	230	118	value	value	NOUN
ejpam-6681	230	119	ebd	ebd	NOUN
ejpam-6681	230	120	3.0950	3.0950	NUM
ejpam-6681	230	121	0.0367	0.0367	NUM
ejpam-6681	230	122	815.8890	815.8890	NUM
ejpam-6681	230	123	819.8890	819.8890	NUM
ejpam-6681	230	124	823.7526	823.7526	NUM
ejpam-6681	230	125	0.0894	0.0894	NUM
ejpam-6681	230	126	0.7821	0.7821	NUM
ejpam-6681	230	127	burr	burr	NOUN
ejpam-6681	230	128	-	-	PUNCT
ejpam-6681	230	129	xii	xii	PROPN
ejpam-6681	230	130	3.6309	3.6309	NUM
ejpam-6681	230	131	0.0511	0.0511	NUM
ejpam-6681	230	132	822.3730	822.3730	NUM
ejpam-6681	230	133	826.3730	826.3730	NUM
ejpam-6681	230	134	830.2371	830.2371	NUM
ejpam-6681	230	135	0.1237	0.1237	NUM
ejpam-6681	230	136	0.3425	0.3425	NUM
ejpam-6681	230	137	data	datum	NOUN
ejpam-6681	230	138	2	2	NUM
ejpam-6681	230	139	:	:	PUNCT
ejpam-6681	230	140	the	the	DET
ejpam-6681	230	141	data	datum	NOUN
ejpam-6681	230	142	set	set	VERB
ejpam-6681	230	143	listed	list	VERB
ejpam-6681	230	144	below	below	ADV
ejpam-6681	230	145	represents	represent	VERB
ejpam-6681	230	146	failure	failure	NOUN
ejpam-6681	230	147	times	time	NOUN
ejpam-6681	230	148	for	for	ADP
ejpam-6681	230	149	a	a	DET
ejpam-6681	230	150	specific	specific	ADJ
ejpam-6681	230	151	system	system	NOUN
ejpam-6681	230	152	discussed	discuss	VERB
ejpam-6681	230	153	by	by	ADP
ejpam-6681	230	154	[	[	X
ejpam-6681	230	155	15	15	NUM
ejpam-6681	230	156	,	,	PUNCT
ejpam-6681	230	157	16	16	NUM
ejpam-6681	230	158	]	]	PUNCT
ejpam-6681	230	159	.	.	PUNCT
ejpam-6681	231	1	0.19	0.19	NUM
ejpam-6681	231	2	,	,	PUNCT
ejpam-6681	231	3	0.78	0.78	NUM
ejpam-6681	231	4	,	,	PUNCT
ejpam-6681	231	5	0.96	0.96	NUM
ejpam-6681	231	6	,	,	PUNCT
ejpam-6681	231	7	0.31	0.31	NUM
ejpam-6681	231	8	,	,	PUNCT
ejpam-6681	231	9	2.78	2.78	NUM
ejpam-6681	231	10	,	,	PUNCT
ejpam-6681	231	11	3.16	3.16	NUM
ejpam-6681	231	12	,	,	PUNCT
ejpam-6681	231	13	4.15	4.15	NUM
ejpam-6681	231	14	,	,	PUNCT
ejpam-6681	231	15	4.67	4.67	NUM
ejpam-6681	231	16	,	,	PUNCT
ejpam-6681	231	17	4.85	4.85	NUM
ejpam-6681	231	18	,	,	PUNCT
ejpam-6681	231	19	6.50	6.50	NUM
ejpam-6681	231	20	,	,	PUNCT
ejpam-6681	231	21	7.35	7.35	NUM
ejpam-6681	231	22	,	,	PUNCT
ejpam-6681	231	23	8.01	8.01	NUM
ejpam-6681	231	24	,	,	PUNCT
ejpam-6681	231	25	8.27	8.27	NUM
ejpam-6681	231	26	,	,	PUNCT
ejpam-6681	231	27	12.06	12.06	NUM
ejpam-6681	231	28	,	,	PUNCT
ejpam-6681	231	29	31.75	31.75	NUM
ejpam-6681	231	30	,	,	PUNCT
ejpam-6681	231	31	32.52	32.52	NUM
ejpam-6681	231	32	,	,	PUNCT
ejpam-6681	231	33	33.91	33.91	NUM
ejpam-6681	231	34	,	,	PUNCT
ejpam-6681	231	35	36.71	36.71	NUM
ejpam-6681	231	36	,	,	PUNCT
ejpam-6681	231	37	72.89	72.89	NUM
ejpam-6681	231	38	table	table	NOUN
ejpam-6681	231	39	4	4	NUM
ejpam-6681	231	40	:	:	PUNCT
ejpam-6681	231	41	goodness	goodness	NOUN
ejpam-6681	231	42	-	-	PUNCT
ejpam-6681	231	43	of	of	ADP
ejpam-6681	231	44	-	-	PUNCT
ejpam-6681	231	45	fit	fit	ADJ
ejpam-6681	231	46	comparison	comparison	NOUN
ejpam-6681	231	47	for	for	ADP
ejpam-6681	231	48	the	the	DET
ejpam-6681	231	49	system	system	NOUN
ejpam-6681	231	50	failure	failure	NOUN
ejpam-6681	231	51	times	times	ADP
ejpam-6681	231	52	data	datum	NOUN
ejpam-6681	231	53	(	(	PUNCT
ejpam-6681	231	54	n	n	NOUN
ejpam-6681	231	55	=	=	NUM
ejpam-6681	231	56	19	19	NUM
ejpam-6681	231	57	)	)	PUNCT
ejpam-6681	231	58	.	.	PUNCT
ejpam-6681	232	1	model	model	NOUN
ejpam-6681	232	2	α̂	α̂	NUM
ejpam-6681	232	3	θ̂	θ̂	X
ejpam-6681	232	4	−2	−2	PROPN
ejpam-6681	232	5	logl(θ	logl(θ	PROPN
ejpam-6681	232	6	)	)	PUNCT
ejpam-6681	232	7	aic	aic	PROPN
ejpam-6681	232	8	bic	bic	PROPN
ejpam-6681	232	9	ks	ks	PROPN
ejpam-6681	232	10	ks	ks	PROPN
ejpam-6681	232	11	p	p	PROPN
ejpam-6681	232	12	-	-	PUNCT
ejpam-6681	232	13	value	value	NOUN
ejpam-6681	232	14	ebd	ebd	NOUN
ejpam-6681	232	15	1.3986	1.3986	NUM
ejpam-6681	232	16	0.2152	0.2152	NUM
ejpam-6681	232	17	89.1418	89.1418	NUM
ejpam-6681	232	18	93.1418	93.1418	NUM
ejpam-6681	232	19	95.3078	95.3078	NUM
ejpam-6681	232	20	0.1347	0.1347	NUM
ejpam-6681	232	21	0.563	0.563	NUM
ejpam-6681	232	22	burr	burr	NOUN
ejpam-6681	232	23	-	-	PUNCT
ejpam-6681	232	24	xii	xii	NOUN
ejpam-6681	232	25	1.4398	1.4398	NUM
ejpam-6681	232	26	0.3537	0.3537	NUM
ejpam-6681	232	27	91.2481	91.2481	NUM
ejpam-6681	232	28	95.2481	95.2481	NUM
ejpam-6681	232	29	97.4141	97.4141	NUM
ejpam-6681	232	30	0.1568	0.1568	NUM
ejpam-6681	232	31	0.6824	0.6824	NUM
ejpam-6681	232	32	the	the	DET
ejpam-6681	232	33	practical	practical	ADJ
ejpam-6681	232	34	superiority	superiority	NOUN
ejpam-6681	232	35	of	of	ADP
ejpam-6681	232	36	the	the	DET
ejpam-6681	232	37	epanechnikov	epanechnikov	NOUN
ejpam-6681	232	38	-	-	PUNCT
ejpam-6681	232	39	burr	burr	PROPN
ejpam-6681	232	40	xii	xii	PROPN
ejpam-6681	232	41	(	(	PUNCT
ejpam-6681	232	42	ebd	ebd	PROPN
ejpam-6681	232	43	)	)	PUNCT
ejpam-6681	232	44	model	model	NOUN
ejpam-6681	232	45	is	be	AUX
ejpam-6681	232	46	unequivocally	unequivocally	ADV
ejpam-6681	232	47	demonstrated	demonstrate	VERB
ejpam-6681	232	48	by	by	ADP
ejpam-6681	232	49	its	its	PRON
ejpam-6681	232	50	performance	performance	NOUN
ejpam-6681	232	51	on	on	ADP
ejpam-6681	232	52	two	two	NUM
ejpam-6681	232	53	real	real	ADJ
ejpam-6681	232	54	-	-	PUNCT
ejpam-6681	232	55	world	world	NOUN
ejpam-6681	232	56	datasets	dataset	NOUN
ejpam-6681	232	57	,	,	PUNCT
ejpam-6681	232	58	as	as	SCONJ
ejpam-6681	232	59	summarized	summarize	VERB
ejpam-6681	232	60	in	in	ADP
ejpam-6681	232	61	tables	table	NOUN
ejpam-6681	232	62	3	3	NUM
ejpam-6681	232	63	and	and	CCONJ
ejpam-6681	232	64	4	4	NUM
ejpam-6681	232	65	.	.	X
ejpam-6681	233	1	for	for	ADP
ejpam-6681	233	2	the	the	DET
ejpam-6681	233	3	head	head	NOUN
ejpam-6681	233	4	-	-	PUNCT
ejpam-6681	233	5	and	and	CCONJ
ejpam-6681	233	6	-	-	PUNCT
ejpam-6681	233	7	neck	neck	NOUN
ejpam-6681	233	8	-	-	PUNCT
ejpam-6681	233	9	cancer	cancer	NOUN
ejpam-6681	233	10	survival	survival	NOUN
ejpam-6681	233	11	data	datum	NOUN
ejpam-6681	233	12	(	(	PUNCT
ejpam-6681	233	13	n	n	NOUN
ejpam-6681	233	14	=	=	SYM
ejpam-6681	233	15	51	51	NUM
ejpam-6681	233	16	,	,	PUNCT
ejpam-6681	233	17	table	table	NOUN
ejpam-6681	233	18	3	3	NUM
ejpam-6681	233	19	)	)	PUNCT
ejpam-6681	233	20	,	,	PUNCT
ejpam-6681	233	21	the	the	DET
ejpam-6681	233	22	ebd	ebd	NOUN
ejpam-6681	233	23	not	not	PART
ejpam-6681	233	24	only	only	ADV
ejpam-6681	233	25	provides	provide	VERB
ejpam-6681	233	26	a	a	DET
ejpam-6681	233	27	lower	low	ADJ
ejpam-6681	233	28	kolmogorov	kolmogorov	ADJ
ejpam-6681	233	29	-	-	PUNCT
ejpam-6681	233	30	smirnov	smirnov	ADJ
ejpam-6681	233	31	statistic	statistic	NOUN
ejpam-6681	233	32	but	but	CCONJ
ejpam-6681	233	33	also	also	ADV
ejpam-6681	233	34	achieves	achieve	VERB
ejpam-6681	233	35	significantly	significantly	ADV
ejpam-6681	233	36	better	well	ADJ
ejpam-6681	233	37	goodness	goodness	NOUN
ejpam-6681	233	38	-	-	PUNCT
ejpam-6681	233	39	of	of	ADP
ejpam-6681	233	40	-	-	PUNCT
ejpam-6681	233	41	fit	fit	NOUN
ejpam-6681	233	42	according	accord	VERB
ejpam-6681	233	43	to	to	ADP
ejpam-6681	233	44	all	all	DET
ejpam-6681	233	45	information	information	NOUN
ejpam-6681	233	46	criteria	criterion	NOUN
ejpam-6681	233	47	,	,	PUNCT
ejpam-6681	233	48	with	with	ADP
ejpam-6681	233	49	a	a	DET
ejpam-6681	233	50	lower	low	ADJ
ejpam-6681	233	51	−2	−2	NOUN
ejpam-6681	233	52	logl	logl	NOUN
ejpam-6681	233	53	(	(	PUNCT
ejpam-6681	233	54	815.889	815.889	NUM
ejpam-6681	233	55	)	)	PUNCT
ejpam-6681	233	56	,	,	PUNCT
ejpam-6681	233	57	aic	aic	PROPN
ejpam-6681	233	58	(	(	PUNCT
ejpam-6681	233	59	819.889	819.889	NUM
ejpam-6681	233	60	)	)	PUNCT
ejpam-6681	233	61	,	,	PUNCT
ejpam-6681	233	62	and	and	CCONJ
ejpam-6681	233	63	bic	bic	PROPN
ejpam-6681	233	64	(	(	PUNCT
ejpam-6681	233	65	823.7526	823.7526	NUM
ejpam-6681	233	66	)	)	PUNCT
ejpam-6681	233	67	compared	compare	VERB
ejpam-6681	233	68	to	to	ADP
ejpam-6681	233	69	the	the	DET
ejpam-6681	233	70	standard	standard	ADJ
ejpam-6681	233	71	burr	burr	NOUN
ejpam-6681	233	72	-	-	PUNCT
ejpam-6681	233	73	xii	xii	NUM
ejpam-6681	233	74	model	model	NOUN
ejpam-6681	233	75	.	.	PUNCT
ejpam-6681	234	1	this	this	DET
ejpam-6681	234	2	trend	trend	NOUN
ejpam-6681	234	3	n.	n.	PROPN
ejpam-6681	234	4	odat	odat	PROPN
ejpam-6681	234	5	et	et	PROPN
ejpam-6681	234	6	al	al	PROPN
ejpam-6681	234	7	.	.	PUNCT
ejpam-6681	234	8	/	/	SYM
ejpam-6681	234	9	eur	eur	PROPN
ejpam-6681	234	10	.	.	PUNCT
ejpam-6681	235	1	j.	j.	PROPN
ejpam-6681	235	2	pure	pure	PROPN
ejpam-6681	235	3	appl	appl	PROPN
ejpam-6681	235	4	.	.	PROPN
ejpam-6681	235	5	math	math	PROPN
ejpam-6681	235	6	,	,	PUNCT
ejpam-6681	235	7	18	18	NUM
ejpam-6681	235	8	(	(	PUNCT
ejpam-6681	235	9	4	4	NUM
ejpam-6681	235	10	)	)	PUNCT
ejpam-6681	235	11	(	(	PUNCT
ejpam-6681	235	12	2025	2025	NUM
ejpam-6681	235	13	)	)	PUNCT
ejpam-6681	235	14	,	,	PUNCT
ejpam-6681	235	15	6681	6681	NUM
ejpam-6681	235	16	13	13	NUM
ejpam-6681	235	17	of	of	ADP
ejpam-6681	235	18	15	15	NUM
ejpam-6681	235	19	is	be	AUX
ejpam-6681	235	20	consistently	consistently	ADV
ejpam-6681	235	21	replicated	replicate	VERB
ejpam-6681	235	22	with	with	ADP
ejpam-6681	235	23	the	the	DET
ejpam-6681	235	24	system	system	NOUN
ejpam-6681	235	25	failure	failure	NOUN
ejpam-6681	235	26	times	times	ADP
ejpam-6681	235	27	data	datum	NOUN
ejpam-6681	235	28	(	(	PUNCT
ejpam-6681	235	29	n	n	NOUN
ejpam-6681	235	30	=	=	SYM
ejpam-6681	235	31	19	19	NUM
ejpam-6681	235	32	,	,	PUNCT
ejpam-6681	235	33	table	table	NOUN
ejpam-6681	235	34	4	4	NUM
ejpam-6681	235	35	)	)	PUNCT
ejpam-6681	235	36	,	,	PUNCT
ejpam-6681	235	37	where	where	SCONJ
ejpam-6681	235	38	the	the	DET
ejpam-6681	235	39	ebd	ebd	NOUN
ejpam-6681	235	40	again	again	ADV
ejpam-6681	235	41	outperforms	outperform	VERB
ejpam-6681	235	42	its	its	PRON
ejpam-6681	235	43	predecessor	predecessor	NOUN
ejpam-6681	235	44	across	across	ADP
ejpam-6681	235	45	all	all	DET
ejpam-6681	235	46	metrics	metric	NOUN
ejpam-6681	235	47	(	(	PUNCT
ejpam-6681	235	48	−2	−2	NOUN
ejpam-6681	235	49	logl	logl	NOUN
ejpam-6681	235	50	:	:	PUNCT
ejpam-6681	235	51	89.1418	89.1418	NUM
ejpam-6681	235	52	,	,	PUNCT
ejpam-6681	235	53	aic	aic	PROPN
ejpam-6681	235	54	:	:	PUNCT
ejpam-6681	235	55	93.1418	93.1418	NUM
ejpam-6681	235	56	,	,	PUNCT
ejpam-6681	235	57	bic	bic	NOUN
ejpam-6681	235	58	:	:	PUNCT
ejpam-6681	235	59	95.3078	95.3078	NUM
ejpam-6681	235	60	)	)	PUNCT
ejpam-6681	235	61	.	.	PUNCT
ejpam-6681	236	1	importantly	importantly	ADV
ejpam-6681	236	2	,	,	PUNCT
ejpam-6681	236	3	both	both	DET
ejpam-6681	236	4	models	model	NOUN
ejpam-6681	236	5	yield	yield	VERB
ejpam-6681	236	6	ks	ks	NOUN
ejpam-6681	236	7	test	test	NOUN
ejpam-6681	236	8	p	p	NOUN
ejpam-6681	236	9	-	-	PUNCT
ejpam-6681	236	10	values	value	NOUN
ejpam-6681	236	11	greater	great	ADJ
ejpam-6681	236	12	than	than	ADP
ejpam-6681	236	13	0.05	0.05	NUM
ejpam-6681	236	14	for	for	ADP
ejpam-6681	236	15	each	each	DET
ejpam-6681	236	16	dataset	dataset	NOUN
ejpam-6681	236	17	,	,	PUNCT
ejpam-6681	236	18	confirming	confirm	VERB
ejpam-6681	236	19	they	they	PRON
ejpam-6681	236	20	provide	provide	VERB
ejpam-6681	236	21	an	an	DET
ejpam-6681	236	22	adequate	adequate	ADJ
ejpam-6681	236	23	fit	fit	NOUN
ejpam-6681	236	24	;	;	PUNCT
ejpam-6681	236	25	however	however	ADV
ejpam-6681	236	26	,	,	PUNCT
ejpam-6681	236	27	the	the	DET
ejpam-6681	236	28	systematically	systematically	ADV
ejpam-6681	236	29	superior	superior	ADJ
ejpam-6681	236	30	values	value	NOUN
ejpam-6681	236	31	for	for	ADP
ejpam-6681	236	32	the	the	DET
ejpam-6681	236	33	ebd	ebd	NOUN
ejpam-6681	236	34	on	on	ADP
ejpam-6681	236	35	all	all	DET
ejpam-6681	236	36	comparative	comparative	ADJ
ejpam-6681	236	37	measures	measure	NOUN
ejpam-6681	236	38	confirm	confirm	VERB
ejpam-6681	236	39	its	its	PRON
ejpam-6681	236	40	enhanced	enhanced	ADJ
ejpam-6681	236	41	flexibility	flexibility	NOUN
ejpam-6681	236	42	and	and	CCONJ
ejpam-6681	236	43	better	well	ADJ
ejpam-6681	236	44	fit	fit	ADJ
ejpam-6681	236	45	to	to	ADP
ejpam-6681	236	46	the	the	DET
ejpam-6681	236	47	observed	observe	VERB
ejpam-6681	236	48	data	datum	NOUN
ejpam-6681	236	49	,	,	PUNCT
ejpam-6681	236	50	solidifying	solidify	VERB
ejpam-6681	236	51	its	its	PRON
ejpam-6681	236	52	increased	increase	VERB
ejpam-6681	236	53	utility	utility	NOUN
ejpam-6681	236	54	for	for	ADP
ejpam-6681	236	55	modeling	model	VERB
ejpam-6681	236	56	real	real	ADJ
ejpam-6681	236	57	-	-	PUNCT
ejpam-6681	236	58	life	life	NOUN
ejpam-6681	236	59	reliability	reliability	NOUN
ejpam-6681	236	60	and	and	CCONJ
ejpam-6681	236	61	survival	survival	NOUN
ejpam-6681	236	62	data	data	PROPN
ejpam-6681	236	63	.	.	PUNCT
ejpam-6681	237	1	conclusion	conclusion	NOUN
ejpam-6681	237	2	this	this	DET
ejpam-6681	237	3	paper	paper	NOUN
ejpam-6681	237	4	presents	present	VERB
ejpam-6681	237	5	a	a	DET
ejpam-6681	237	6	flexible	flexible	ADJ
ejpam-6681	237	7	and	and	CCONJ
ejpam-6681	237	8	reliable	reliable	ADJ
ejpam-6681	237	9	option	option	NOUN
ejpam-6681	237	10	for	for	ADP
ejpam-6681	237	11	modeling	model	VERB
ejpam-6681	237	12	lifetime	lifetime	NOUN
ejpam-6681	237	13	data	datum	NOUN
ejpam-6681	237	14	:	:	PUNCT
ejpam-6681	237	15	the	the	DET
ejpam-6681	237	16	epanechnikov	epanechnikov	PROPN
ejpam-6681	237	17	-	-	PUNCT
ejpam-6681	237	18	burr	burr	NOUN
ejpam-6681	237	19	-	-	PUNCT
ejpam-6681	237	20	xii	xii	NOUN
ejpam-6681	237	21	distribution	distribution	NOUN
ejpam-6681	237	22	(	(	PUNCT
ejpam-6681	237	23	ebd	ebd	PROPN
ejpam-6681	237	24	)	)	PUNCT
ejpam-6681	237	25	.	.	PUNCT
ejpam-6681	238	1	the	the	DET
ejpam-6681	238	2	incorporation	incorporation	NOUN
ejpam-6681	238	3	of	of	ADP
ejpam-6681	238	4	the	the	DET
ejpam-6681	238	5	epanechnikov	epanechnikov	NOUN
ejpam-6681	238	6	kernel	kernel	PROPN
ejpam-6681	238	7	provides	provide	VERB
ejpam-6681	238	8	a	a	DET
ejpam-6681	238	9	smoothing	smooth	VERB
ejpam-6681	238	10	effect	effect	NOUN
ejpam-6681	238	11	that	that	PRON
ejpam-6681	238	12	enhances	enhance	VERB
ejpam-6681	238	13	the	the	DET
ejpam-6681	238	14	tail	tail	NOUN
ejpam-6681	238	15	behavior	behavior	NOUN
ejpam-6681	238	16	flexibility	flexibility	NOUN
ejpam-6681	238	17	of	of	ADP
ejpam-6681	238	18	the	the	DET
ejpam-6681	238	19	proposed	propose	VERB
ejpam-6681	238	20	ebd	ebd	PROPN
ejpam-6681	238	21	compared	compare	VERB
ejpam-6681	238	22	to	to	ADP
ejpam-6681	238	23	the	the	DET
ejpam-6681	238	24	standard	standard	ADJ
ejpam-6681	238	25	burr	burr	NOUN
ejpam-6681	238	26	-	-	PUNCT
ejpam-6681	238	27	xii	xii	NOUN
ejpam-6681	238	28	distribution	distribution	NOUN
ejpam-6681	238	29	.	.	PUNCT
ejpam-6681	239	1	while	while	SCONJ
ejpam-6681	239	2	the	the	DET
ejpam-6681	239	3	burr	burr	NOUN
ejpam-6681	239	4	-	-	PUNCT
ejpam-6681	239	5	xii	xii	NOUN
ejpam-6681	239	6	distribution	distribution	NOUN
ejpam-6681	239	7	already	already	ADV
ejpam-6681	239	8	offers	offer	VERB
ejpam-6681	239	9	considerable	considerable	ADJ
ejpam-6681	239	10	shape	shape	NOUN
ejpam-6681	239	11	flexibility	flexibility	NOUN
ejpam-6681	239	12	,	,	PUNCT
ejpam-6681	239	13	the	the	DET
ejpam-6681	239	14	epanechnikov	epanechnikov	PROPN
ejpam-6681	239	15	kernel	kernel	PROPN
ejpam-6681	239	16	introduces	introduce	VERB
ejpam-6681	239	17	a	a	DET
ejpam-6681	239	18	bounded	bound	VERB
ejpam-6681	239	19	,	,	PUNCT
ejpam-6681	239	20	quadratic	quadratic	ADJ
ejpam-6681	239	21	transformation	transformation	NOUN
ejpam-6681	239	22	that	that	PRON
ejpam-6681	239	23	modifies	modify	VERB
ejpam-6681	239	24	the	the	DET
ejpam-6681	239	25	distribution	distribution	NOUN
ejpam-6681	239	26	’s	’s	PART
ejpam-6681	239	27	tail	tail	NOUN
ejpam-6681	239	28	properties	property	NOUN
ejpam-6681	239	29	.	.	PUNCT
ejpam-6681	240	1	this	this	DET
ejpam-6681	240	2	smoothing	smooth	VERB
ejpam-6681	240	3	results	result	NOUN
ejpam-6681	240	4	in	in	ADP
ejpam-6681	240	5	a	a	DET
ejpam-6681	240	6	density	density	NOUN
ejpam-6681	240	7	function	function	NOUN
ejpam-6681	240	8	that	that	PRON
ejpam-6681	240	9	can	can	AUX
ejpam-6681	240	10	better	well	ADV
ejpam-6681	240	11	accommodate	accommodate	VERB
ejpam-6681	240	12	various	various	ADJ
ejpam-6681	240	13	tail	tail	NOUN
ejpam-6681	240	14	weights	weight	NOUN
ejpam-6681	240	15	observed	observe	VERB
ejpam-6681	240	16	in	in	ADP
ejpam-6681	240	17	real	real	ADJ
ejpam-6681	240	18	-	-	PUNCT
ejpam-6681	240	19	world	world	NOUN
ejpam-6681	240	20	data	datum	NOUN
ejpam-6681	240	21	,	,	PUNCT
ejpam-6681	240	22	particularly	particularly	ADV
ejpam-6681	240	23	in	in	ADP
ejpam-6681	240	24	reliability	reliability	NOUN
ejpam-6681	240	25	and	and	CCONJ
ejpam-6681	240	26	survival	survival	NOUN
ejpam-6681	240	27	analysis	analysis	NOUN
ejpam-6681	240	28	where	where	SCONJ
ejpam-6681	240	29	extreme	extreme	ADJ
ejpam-6681	240	30	values	value	NOUN
ejpam-6681	240	31	are	be	AUX
ejpam-6681	240	32	common	common	ADJ
ejpam-6681	240	33	.	.	PUNCT
ejpam-6681	241	1	the	the	DET
ejpam-6681	241	2	kernel	kernel	PROPN
ejpam-6681	241	3	’s	’s	PART
ejpam-6681	241	4	influence	influence	NOUN
ejpam-6681	241	5	allows	allow	VERB
ejpam-6681	241	6	the	the	DET
ejpam-6681	241	7	ebd	ebd	NOUN
ejpam-6681	241	8	to	to	PART
ejpam-6681	241	9	capture	capture	VERB
ejpam-6681	241	10	distributional	distributional	ADJ
ejpam-6681	241	11	characteristics	characteristic	NOUN
ejpam-6681	241	12	that	that	PRON
ejpam-6681	241	13	might	might	AUX
ejpam-6681	241	14	be	be	AUX
ejpam-6681	241	15	too	too	ADV
ejpam-6681	241	16	subtle	subtle	ADJ
ejpam-6681	241	17	for	for	ADP
ejpam-6681	241	18	the	the	DET
ejpam-6681	241	19	standard	standard	ADJ
ejpam-6681	241	20	burr	burr	NOUN
ejpam-6681	241	21	-	-	PUNCT
ejpam-6681	241	22	xii	xii	NOUN
ejpam-6681	241	23	to	to	ADP
ejpam-6681	241	24	model	model	NOUN
ejpam-6681	241	25	effectively	effectively	ADV
ejpam-6681	241	26	.	.	PUNCT
ejpam-6681	242	1	the	the	DET
ejpam-6681	242	2	ebd	ebd	PROPN
ejpam-6681	242	3	shows	show	VERB
ejpam-6681	242	4	improved	improve	VERB
ejpam-6681	242	5	mathematical	mathematical	ADJ
ejpam-6681	242	6	qualities	quality	NOUN
ejpam-6681	242	7	,	,	PUNCT
ejpam-6681	242	8	such	such	ADJ
ejpam-6681	242	9	as	as	ADP
ejpam-6681	242	10	tractable	tractable	ADJ
ejpam-6681	242	11	moments	moment	NOUN
ejpam-6681	242	12	,	,	PUNCT
ejpam-6681	242	13	a	a	DET
ejpam-6681	242	14	welldefined	welldefine	VERB
ejpam-6681	242	15	characteristic	characteristic	ADJ
ejpam-6681	242	16	function	function	NOUN
ejpam-6681	242	17	,	,	PUNCT
ejpam-6681	242	18	and	and	CCONJ
ejpam-6681	242	19	practical	practical	ADJ
ejpam-6681	242	20	reliability	reliability	NOUN
ejpam-6681	242	21	measures	measure	NOUN
ejpam-6681	242	22	,	,	PUNCT
ejpam-6681	242	23	by	by	ADP
ejpam-6681	242	24	combining	combine	VERB
ejpam-6681	242	25	the	the	DET
ejpam-6681	242	26	epanechnikov	epanechnikov	NOUN
ejpam-6681	242	27	kernel	kernel	PROPN
ejpam-6681	242	28	function	function	VERB
ejpam-6681	242	29	with	with	ADP
ejpam-6681	242	30	the	the	DET
ejpam-6681	242	31	burr	burr	NOUN
ejpam-6681	242	32	-	-	PUNCT
ejpam-6681	242	33	xii	xii	NOUN
ejpam-6681	242	34	distribution	distribution	NOUN
ejpam-6681	242	35	.	.	PUNCT
ejpam-6681	243	1	the	the	DET
ejpam-6681	243	2	simulation	simulation	NOUN
ejpam-6681	243	3	analysis	analysis	NOUN
ejpam-6681	243	4	demonstrates	demonstrate	VERB
ejpam-6681	243	5	that	that	SCONJ
ejpam-6681	243	6	the	the	DET
ejpam-6681	243	7	estimators	estimator	NOUN
ejpam-6681	243	8	are	be	AUX
ejpam-6681	243	9	reliable	reliable	ADJ
ejpam-6681	243	10	and	and	CCONJ
ejpam-6681	243	11	work	work	VERB
ejpam-6681	243	12	well	well	ADV
ejpam-6681	243	13	with	with	ADP
ejpam-6681	243	14	larger	large	ADJ
ejpam-6681	243	15	sample	sample	NOUN
ejpam-6681	243	16	sizes	size	NOUN
ejpam-6681	243	17	,	,	PUNCT
ejpam-6681	243	18	confirming	confirm	VERB
ejpam-6681	243	19	that	that	SCONJ
ejpam-6681	243	20	the	the	DET
ejpam-6681	243	21	maximum	maximum	ADJ
ejpam-6681	243	22	likelihood	likelihood	NOUN
ejpam-6681	243	23	estimation	estimation	NOUN
ejpam-6681	243	24	method	method	NOUN
ejpam-6681	243	25	efficiently	efficiently	ADV
ejpam-6681	243	26	estimates	estimate	VERB
ejpam-6681	243	27	the	the	DET
ejpam-6681	243	28	parameters	parameter	NOUN
ejpam-6681	243	29	.	.	PUNCT
ejpam-6681	244	1	the	the	DET
ejpam-6681	244	2	comprehensive	comprehensive	ADJ
ejpam-6681	244	3	simulation	simulation	NOUN
ejpam-6681	244	4	study	study	NOUN
ejpam-6681	244	5	confirmed	confirm	VERB
ejpam-6681	244	6	the	the	DET
ejpam-6681	244	7	consistency	consistency	NOUN
ejpam-6681	244	8	and	and	CCONJ
ejpam-6681	244	9	robustness	robustness	NOUN
ejpam-6681	244	10	of	of	ADP
ejpam-6681	244	11	the	the	DET
ejpam-6681	244	12	maximum	maximum	ADJ
ejpam-6681	244	13	likelihood	likelihood	NOUN
ejpam-6681	244	14	estimators	estimator	NOUN
ejpam-6681	244	15	,	,	PUNCT
ejpam-6681	244	16	with	with	ADP
ejpam-6681	244	17	bias	bias	NOUN
ejpam-6681	244	18	and	and	CCONJ
ejpam-6681	244	19	mean	mean	VERB
ejpam-6681	244	20	squared	square	VERB
ejpam-6681	244	21	error	error	NOUN
ejpam-6681	244	22	decreasing	decrease	VERB
ejpam-6681	244	23	systematically	systematically	ADV
ejpam-6681	244	24	as	as	SCONJ
ejpam-6681	244	25	sample	sample	NOUN
ejpam-6681	244	26	size	size	NOUN
ejpam-6681	244	27	increased	increase	VERB
ejpam-6681	244	28	across	across	ADP
ejpam-6681	244	29	all	all	DET
ejpam-6681	244	30	parameter	parameter	NOUN
ejpam-6681	244	31	configurations	configuration	NOUN
ejpam-6681	244	32	.	.	PUNCT
ejpam-6681	245	1	the	the	DET
ejpam-6681	245	2	ebd	ebd	PROPN
ejpam-6681	245	3	offers	offer	VERB
ejpam-6681	245	4	a	a	DET
ejpam-6681	245	5	better	well	ADJ
ejpam-6681	245	6	fit	fit	ADJ
ejpam-6681	245	7	than	than	ADP
ejpam-6681	245	8	the	the	DET
ejpam-6681	245	9	conventional	conventional	ADJ
ejpam-6681	245	10	burr	burr	NOUN
ejpam-6681	245	11	-	-	PUNCT
ejpam-6681	245	12	xii	xii	NOUN
ejpam-6681	245	13	distribution	distribution	NOUN
ejpam-6681	245	14	,	,	PUNCT
ejpam-6681	245	15	as	as	SCONJ
ejpam-6681	245	16	shown	show	VERB
ejpam-6681	245	17	by	by	ADP
ejpam-6681	245	18	applications	application	NOUN
ejpam-6681	245	19	to	to	ADP
ejpam-6681	245	20	real	real	ADJ
ejpam-6681	245	21	-	-	PUNCT
ejpam-6681	245	22	world	world	NOUN
ejpam-6681	245	23	datasets	dataset	NOUN
ejpam-6681	245	24	like	like	ADP
ejpam-6681	245	25	failure	failure	NOUN
ejpam-6681	245	26	time	time	NOUN
ejpam-6681	245	27	data	datum	NOUN
ejpam-6681	245	28	and	and	CCONJ
ejpam-6681	245	29	cancer	cancer	NOUN
ejpam-6681	245	30	patient	patient	PROPN
ejpam-6681	245	31	survival	survival	PROPN
ejpam-6681	245	32	times	times	PROPN
ejpam-6681	245	33	.	.	PUNCT
ejpam-6681	246	1	these	these	DET
ejpam-6681	246	2	findings	finding	NOUN
ejpam-6681	246	3	highlight	highlight	VERB
ejpam-6681	246	4	the	the	DET
ejpam-6681	246	5	ebd	ebd	PROPN
ejpam-6681	246	6	’s	’s	PART
ejpam-6681	246	7	usefulness	usefulness	NOUN
ejpam-6681	246	8	in	in	ADP
ejpam-6681	246	9	reliability	reliability	NOUN
ejpam-6681	246	10	research	research	NOUN
ejpam-6681	246	11	and	and	CCONJ
ejpam-6681	246	12	statistical	statistical	ADJ
ejpam-6681	246	13	modeling	modeling	NOUN
ejpam-6681	246	14	.	.	PUNCT
ejpam-6681	247	1	the	the	DET
ejpam-6681	247	2	model	model	NOUN
ejpam-6681	247	3	’s	’s	PART
ejpam-6681	247	4	superior	superior	ADJ
ejpam-6681	247	5	performance	performance	NOUN
ejpam-6681	247	6	according	accord	VERB
ejpam-6681	247	7	to	to	ADP
ejpam-6681	247	8	aic	aic	PROPN
ejpam-6681	247	9	,	,	PUNCT
ejpam-6681	247	10	bic	bic	PROPN
ejpam-6681	247	11	,	,	PUNCT
ejpam-6681	247	12	and	and	CCONJ
ejpam-6681	247	13	log	log	NOUN
ejpam-6681	247	14	-	-	PUNCT
ejpam-6681	247	15	likelihood	likelihood	NOUN
ejpam-6681	247	16	criteria	criterion	NOUN
ejpam-6681	247	17	across	across	ADP
ejpam-6681	247	18	both	both	DET
ejpam-6681	247	19	datasets	dataset	NOUN
ejpam-6681	247	20	unequivocally	unequivocally	ADV
ejpam-6681	247	21	demonstrates	demonstrate	VERB
ejpam-6681	247	22	its	its	PRON
ejpam-6681	247	23	practical	practical	ADJ
ejpam-6681	247	24	advantage	advantage	NOUN
ejpam-6681	247	25	for	for	ADP
ejpam-6681	247	26	modeling	model	VERB
ejpam-6681	247	27	real	real	ADJ
ejpam-6681	247	28	-	-	PUNCT
ejpam-6681	247	29	life	life	NOUN
ejpam-6681	247	30	reliability	reliability	NOUN
ejpam-6681	247	31	and	and	CCONJ
ejpam-6681	247	32	survival	survival	NOUN
ejpam-6681	247	33	data	datum	NOUN
ejpam-6681	247	34	.	.	PUNCT
ejpam-6681	248	1	while	while	SCONJ
ejpam-6681	248	2	the	the	DET
ejpam-6681	248	3	ebd	ebd	NOUN
ejpam-6681	248	4	demonstrates	demonstrate	VERB
ejpam-6681	248	5	superior	superior	ADJ
ejpam-6681	248	6	flexibility	flexibility	NOUN
ejpam-6681	248	7	and	and	CCONJ
ejpam-6681	248	8	fit	fit	NOUN
ejpam-6681	248	9	,	,	PUNCT
ejpam-6681	248	10	this	this	DET
ejpam-6681	248	11	study	study	NOUN
ejpam-6681	248	12	also	also	ADV
ejpam-6681	248	13	highlights	highlight	VERB
ejpam-6681	248	14	areas	area	NOUN
ejpam-6681	248	15	for	for	ADP
ejpam-6681	248	16	future	future	ADJ
ejpam-6681	248	17	exploration	exploration	NOUN
ejpam-6681	248	18	.	.	PUNCT
ejpam-6681	249	1	the	the	DET
ejpam-6681	249	2	current	current	ADJ
ejpam-6681	249	3	work	work	NOUN
ejpam-6681	249	4	primarily	primarily	ADV
ejpam-6681	249	5	focuses	focus	VERB
ejpam-6681	249	6	on	on	ADP
ejpam-6681	249	7	complete	complete	ADJ
ejpam-6681	249	8	data	datum	NOUN
ejpam-6681	249	9	;	;	PUNCT
ejpam-6681	249	10	thus	thus	ADV
ejpam-6681	249	11	,	,	PUNCT
ejpam-6681	249	12	investigating	investigate	VERB
ejpam-6681	249	13	the	the	DET
ejpam-6681	249	14	model	model	NOUN
ejpam-6681	249	15	’s	’s	PART
ejpam-6681	249	16	performance	performance	NOUN
ejpam-6681	249	17	under	under	ADP
ejpam-6681	249	18	censored	censored	ADJ
ejpam-6681	249	19	data	datum	NOUN
ejpam-6681	249	20	,	,	PUNCT
ejpam-6681	249	21	which	which	PRON
ejpam-6681	249	22	is	be	AUX
ejpam-6681	249	23	common	common	ADJ
ejpam-6681	249	24	in	in	ADP
ejpam-6681	249	25	survival	survival	NOUN
ejpam-6681	249	26	analysis	analysis	NOUN
ejpam-6681	249	27	,	,	PUNCT
ejpam-6681	249	28	would	would	AUX
ejpam-6681	249	29	be	be	AUX
ejpam-6681	249	30	a	a	DET
ejpam-6681	249	31	valuable	valuable	ADJ
ejpam-6681	249	32	extension	extension	NOUN
ejpam-6681	249	33	.	.	PUNCT
ejpam-6681	250	1	furthermore	furthermore	ADV
ejpam-6681	250	2	,	,	PUNCT
ejpam-6681	250	3	developing	develop	VERB
ejpam-6681	250	4	bayesian	bayesian	NOUN
ejpam-6681	250	5	estimation	estimation	NOUN
ejpam-6681	250	6	methods	method	NOUN
ejpam-6681	250	7	for	for	ADP
ejpam-6681	250	8	the	the	DET
ejpam-6681	250	9	ebd	ebd	PROPN
ejpam-6681	250	10	parameters	parameter	NOUN
ejpam-6681	250	11	could	could	AUX
ejpam-6681	250	12	provide	provide	VERB
ejpam-6681	250	13	a	a	DET
ejpam-6681	250	14	robust	robust	ADJ
ejpam-6681	250	15	alternative	alternative	NOUN
ejpam-6681	250	16	to	to	ADP
ejpam-6681	250	17	maximum	maximum	ADJ
ejpam-6681	250	18	likelihood	likelihood	NOUN
ejpam-6681	250	19	estimation	estimation	NOUN
ejpam-6681	250	20	,	,	PUNCT
ejpam-6681	250	21	especially	especially	ADV
ejpam-6681	250	22	for	for	ADP
ejpam-6681	250	23	small	small	ADJ
ejpam-6681	250	24	sample	sample	NOUN
ejpam-6681	250	25	sizes	size	NOUN
ejpam-6681	250	26	.	.	PUNCT
ejpam-6681	251	1	future	future	ADJ
ejpam-6681	251	2	research	research	NOUN
ejpam-6681	251	3	could	could	AUX
ejpam-6681	251	4	also	also	ADV
ejpam-6681	251	5	explore	explore	VERB
ejpam-6681	251	6	the	the	DET
ejpam-6681	251	7	applicability	applicability	NOUN
ejpam-6681	251	8	of	of	ADP
ejpam-6681	251	9	the	the	DET
ejpam-6681	251	10	ebd	ebd	NOUN
ejpam-6681	251	11	in	in	ADP
ejpam-6681	251	12	other	other	ADJ
ejpam-6681	251	13	domains	domain	NOUN
ejpam-6681	251	14	such	such	ADJ
ejpam-6681	251	15	as	as	ADP
ejpam-6681	251	16	economics	economic	NOUN
ejpam-6681	251	17	,	,	PUNCT
ejpam-6681	251	18	finance	finance	NOUN
ejpam-6681	251	19	,	,	PUNCT
ejpam-6681	251	20	and	and	CCONJ
ejpam-6681	251	21	environmental	environmental	ADJ
ejpam-6681	251	22	science	science	NOUN
ejpam-6681	251	23	to	to	PART
ejpam-6681	251	24	further	far	ADV
ejpam-6681	251	25	validate	validate	VERB
ejpam-6681	251	26	its	its	PRON
ejpam-6681	251	27	utility	utility	NOUN
ejpam-6681	251	28	beyond	beyond	ADP
ejpam-6681	251	29	reliability	reliability	NOUN
ejpam-6681	251	30	engineering	engineering	NOUN
ejpam-6681	251	31	.	.	PUNCT
ejpam-6681	252	1	n.	n.	PROPN
ejpam-6681	252	2	odat	odat	PROPN
ejpam-6681	252	3	et	et	PROPN
ejpam-6681	252	4	al	al	PROPN
ejpam-6681	252	5	.	.	PUNCT
ejpam-6681	252	6	/	/	SYM
ejpam-6681	252	7	eur	eur	PROPN
ejpam-6681	252	8	.	.	PUNCT
ejpam-6681	253	1	j.	j.	PROPN
ejpam-6681	253	2	pure	pure	PROPN
ejpam-6681	253	3	appl	appl	PROPN
ejpam-6681	253	4	.	.	PROPN
ejpam-6681	253	5	math	math	PROPN
ejpam-6681	253	6	,	,	PUNCT
ejpam-6681	253	7	18	18	NUM
ejpam-6681	253	8	(	(	PUNCT
ejpam-6681	253	9	4	4	NUM
ejpam-6681	253	10	)	)	PUNCT
ejpam-6681	253	11	(	(	PUNCT
ejpam-6681	253	12	2025	2025	NUM
ejpam-6681	253	13	)	)	PUNCT
ejpam-6681	253	14	,	,	PUNCT
ejpam-6681	253	15	6681	6681	NUM
ejpam-6681	253	16	14	14	NUM
ejpam-6681	253	17	of	of	ADP
ejpam-6681	253	18	15	15	NUM
ejpam-6681	253	19	acknowledgements	acknowledgement	NOUN
ejpam-6681	253	20	the	the	DET
ejpam-6681	253	21	authors	author	NOUN
ejpam-6681	253	22	acknowledge	acknowledge	VERB
ejpam-6681	253	23	the	the	DET
ejpam-6681	253	24	support	support	NOUN
ejpam-6681	253	25	of	of	ADP
ejpam-6681	253	26	jadara	jadara	PROPN
ejpam-6681	253	27	university	university	PROPN
ejpam-6681	253	28	under	under	ADP
ejpam-6681	253	29	grant	grant	NOUN
ejpam-6681	253	30	no	no	NOUN
ejpam-6681	253	31	.	.	PUNCT
ejpam-6681	254	1	jadarasr	jadarasr	PROPN
ejpam-6681	254	2	-	-	PUNCT
ejpam-6681	254	3	full2023	full2023	PROPN
ejpam-6681	254	4	.	.	PUNCT
ejpam-6681	255	1	references	reference	NOUN
ejpam-6681	255	2	[	[	X
ejpam-6681	255	3	1	1	NUM
ejpam-6681	255	4	]	]	PUNCT
ejpam-6681	255	5	naser	naser	PROPN
ejpam-6681	255	6	odat	odat	PROPN
ejpam-6681	255	7	.	.	PUNCT
ejpam-6681	256	1	epanechnikov	epanechnikov	NOUN
ejpam-6681	256	2	-	-	PUNCT
ejpam-6681	256	3	pareto	pareto	VERB
ejpam-6681	256	4	distribution	distribution	NOUN
ejpam-6681	256	5	with	with	ADP
ejpam-6681	256	6	application	application	NOUN
ejpam-6681	256	7	.	.	PUNCT
ejpam-6681	257	1	international	international	ADJ
ejpam-6681	257	2	journal	journal	PROPN
ejpam-6681	257	3	of	of	ADP
ejpam-6681	257	4	neutrosophic	neutrosophic	ADJ
ejpam-6681	257	5	science	science	NOUN
ejpam-6681	257	6	,	,	PUNCT
ejpam-6681	257	7	25(04):147–155	25(04):147–155	NUM
ejpam-6681	257	8	,	,	PUNCT
ejpam-6681	257	9	2025	2025	NUM
ejpam-6681	257	10	.	.	PUNCT
ejpam-6681	258	1	[	[	X
ejpam-6681	258	2	2	2	NUM
ejpam-6681	258	3	]	]	PUNCT
ejpam-6681	258	4	f.	f.	PROPN
ejpam-6681	258	5	s.	s.	PROPN
ejpam-6681	258	6	rabaiah	rabaiah	PROPN
ejpam-6681	258	7	.	.	PUNCT
ejpam-6681	259	1	generalizations	generalization	NOUN
ejpam-6681	259	2	of	of	ADP
ejpam-6681	259	3	power	power	NOUN
ejpam-6681	259	4	function	function	NOUN
ejpam-6681	259	5	and	and	CCONJ
ejpam-6681	259	6	type	type	NOUN
ejpam-6681	259	7	-	-	PUNCT
ejpam-6681	259	8	i	i	PRON
ejpam-6681	259	9	half	half	NOUN
ejpam-6681	259	10	logistic	logistic	ADJ
ejpam-6681	259	11	distributions	distribution	NOUN
ejpam-6681	259	12	using	use	VERB
ejpam-6681	259	13	quadratic	quadratic	ADJ
ejpam-6681	259	14	transmutation	transmutation	NOUN
ejpam-6681	259	15	map	map	NOUN
ejpam-6681	259	16	.	.	PUNCT
ejpam-6681	260	1	master	master	NOUN
ejpam-6681	260	2	’s	’s	PART
ejpam-6681	260	3	thesis	thesis	NOUN
ejpam-6681	260	4	,	,	PUNCT
ejpam-6681	260	5	al	al	PROPN
ejpam-6681	260	6	al	al	PROPN
ejpam-6681	260	7	-	-	PUNCT
ejpam-6681	260	8	bayt	bayt	ADJ
ejpam-6681	260	9	university	university	NOUN
ejpam-6681	260	10	,	,	PUNCT
ejpam-6681	260	11	department	department	NOUN
ejpam-6681	260	12	of	of	ADP
ejpam-6681	260	13	mathematics	mathematics	PROPN
ejpam-6681	260	14	,	,	PUNCT
ejpam-6681	260	15	mafraq	mafraq	PROPN
ejpam-6681	260	16	,	,	PUNCT
ejpam-6681	260	17	jordan	jordan	PROPN
ejpam-6681	260	18	,	,	PUNCT
ejpam-6681	260	19	2018	2018	NUM
ejpam-6681	260	20	.	.	PUNCT
ejpam-6681	261	1	[	[	X
ejpam-6681	261	2	3	3	X
ejpam-6681	261	3	]	]	PUNCT
ejpam-6681	261	4	m.	m.	NOUN
ejpam-6681	261	5	al	al	PROPN
ejpam-6681	261	6	-	-	PUNCT
ejpam-6681	261	7	khazaleh	khazaleh	PROPN
ejpam-6681	261	8	,	,	PUNCT
ejpam-6681	261	9	a.	a.	PROPN
ejpam-6681	261	10	al	al	PROPN
ejpam-6681	261	11	-	-	PUNCT
ejpam-6681	261	12	omari	omari	PROPN
ejpam-6681	261	13	,	,	PUNCT
ejpam-6681	261	14	and	and	CCONJ
ejpam-6681	261	15	a.	a.	NOUN
ejpam-6681	261	16	m.	m.	PROPN
ejpam-6681	261	17	al	al	PROPN
ejpam-6681	261	18	-	-	PUNCT
ejpam-6681	261	19	khazaleh	khazaleh	PROPN
ejpam-6681	261	20	.	.	PUNCT
ejpam-6681	262	1	transmuted	transmute	VERB
ejpam-6681	262	2	two	two	NUM
ejpam-6681	262	3	-	-	PUNCT
ejpam-6681	262	4	parameter	parameter	NOUN
ejpam-6681	262	5	lindley	lindley	NOUN
ejpam-6681	262	6	distribution	distribution	NOUN
ejpam-6681	262	7	.	.	PUNCT
ejpam-6681	263	1	journal	journal	PROPN
ejpam-6681	263	2	of	of	ADP
ejpam-6681	263	3	statistics	statistic	NOUN
ejpam-6681	263	4	applications	application	NOUN
ejpam-6681	263	5	and	and	CCONJ
ejpam-6681	263	6	probability	probability	NOUN
ejpam-6681	263	7	,	,	PUNCT
ejpam-6681	263	8	5(3):1–11	5(3):1–11	NUM
ejpam-6681	263	9	,	,	PUNCT
ejpam-6681	263	10	2016	2016	NUM
ejpam-6681	263	11	.	.	PUNCT
ejpam-6681	264	1	[	[	X
ejpam-6681	264	2	4	4	NUM
ejpam-6681	264	3	]	]	PUNCT
ejpam-6681	264	4	m.	m.	NOUN
ejpam-6681	264	5	m.	m.	NOUN
ejpam-6681	264	6	gharaibeh	gharaibeh	NOUN
ejpam-6681	264	7	and	and	CCONJ
ejpam-6681	264	8	a.	a.	PROPN
ejpam-6681	264	9	i.	i.	PROPN
ejpam-6681	264	10	al	al	PROPN
ejpam-6681	264	11	-	-	PUNCT
ejpam-6681	264	12	omari	omari	PROPN
ejpam-6681	264	13	.	.	PUNCT
ejpam-6681	265	1	transmuted	transmute	VERB
ejpam-6681	265	2	ishita	ishita	ADJ
ejpam-6681	265	3	distribution	distribution	NOUN
ejpam-6681	265	4	and	and	CCONJ
ejpam-6681	265	5	its	its	PRON
ejpam-6681	265	6	applications	application	NOUN
ejpam-6681	265	7	.	.	PUNCT
ejpam-6681	266	1	journal	journal	NOUN
ejpam-6681	266	2	of	of	ADP
ejpam-6681	266	3	statistical	statistical	ADJ
ejpam-6681	266	4	applications	application	NOUN
ejpam-6681	266	5	and	and	CCONJ
ejpam-6681	266	6	probability	probability	NOUN
ejpam-6681	266	7	,	,	PUNCT
ejpam-6681	266	8	8(2):1–14	8(2):1–14	NUM
ejpam-6681	266	9	,	,	PUNCT
ejpam-6681	266	10	2019	2019	NUM
ejpam-6681	266	11	.	.	PUNCT
ejpam-6681	267	1	[	[	X
ejpam-6681	267	2	5	5	NUM
ejpam-6681	267	3	]	]	X
ejpam-6681	267	4	loai	loai	NOUN
ejpam-6681	267	5	alzoubi	alzoubi	PROPN
ejpam-6681	267	6	,	,	PUNCT
ejpam-6681	267	7	ahmad	ahmad	PROPN
ejpam-6681	267	8	al	al	PROPN
ejpam-6681	267	9	-	-	PUNCT
ejpam-6681	267	10	khazaleh	khazaleh	PROPN
ejpam-6681	267	11	,	,	PUNCT
ejpam-6681	267	12	ayat	ayat	PROPN
ejpam-6681	267	13	al	al	PROPN
ejpam-6681	267	14	-	-	PUNCT
ejpam-6681	267	15	meanazel	meanazel	PROPN
ejpam-6681	267	16	,	,	PUNCT
ejpam-6681	267	17	and	and	CCONJ
ejpam-6681	267	18	mohammed	mohammed	PROPN
ejpam-6681	267	19	gharaibeh	gharaibeh	NOUN
ejpam-6681	267	20	.	.	PUNCT
ejpam-6681	268	1	epanechnikov	epanechnikov	NOUN
ejpam-6681	268	2	-	-	PUNCT
ejpam-6681	268	3	weibull	weibull	PROPN
ejpam-6681	268	4	distribution	distribution	NOUN
ejpam-6681	268	5	.	.	PUNCT
ejpam-6681	269	1	journal	journal	NOUN
ejpam-6681	269	2	of	of	ADP
ejpam-6681	269	3	southwest	southwest	PROPN
ejpam-6681	269	4	jiaotong	jiaotong	PROPN
ejpam-6681	269	5	university	university	PROPN
ejpam-6681	269	6	,	,	PUNCT
ejpam-6681	269	7	57(6	57(6	NUM
ejpam-6681	269	8	)	)	PUNCT
ejpam-6681	269	9	,	,	PUNCT
ejpam-6681	269	10	2022	2022	NUM
ejpam-6681	269	11	.	.	PUNCT
ejpam-6681	270	1	[	[	X
ejpam-6681	270	2	6	6	NUM
ejpam-6681	270	3	]	]	PUNCT
ejpam-6681	270	4	h.	h.	PROPN
ejpam-6681	270	5	a.	a.	PROPN
ejpam-6681	270	6	alsikeek	alsikeek	PROPN
ejpam-6681	270	7	.	.	PUNCT
ejpam-6681	271	1	quadratic	quadratic	ADJ
ejpam-6681	271	2	transmutation	transmutation	NOUN
ejpam-6681	271	3	map	map	NOUN
ejpam-6681	271	4	for	for	ADP
ejpam-6681	271	5	reciprocal	reciprocal	ADJ
ejpam-6681	271	6	distribution	distribution	NOUN
ejpam-6681	271	7	and	and	CCONJ
ejpam-6681	271	8	twoparameter	twoparameter	ADJ
ejpam-6681	271	9	weighted	weight	VERB
ejpam-6681	271	10	exponential	exponential	ADJ
ejpam-6681	271	11	distribution	distribution	NOUN
ejpam-6681	271	12	.	.	PUNCT
ejpam-6681	272	1	master	master	NOUN
ejpam-6681	272	2	’s	’s	PART
ejpam-6681	272	3	thesis	thesis	NOUN
ejpam-6681	272	4	,	,	PUNCT
ejpam-6681	272	5	al	al	PROPN
ejpam-6681	272	6	al	al	PROPN
ejpam-6681	272	7	-	-	PUNCT
ejpam-6681	272	8	bayt	bayt	ADJ
ejpam-6681	272	9	university	university	NOUN
ejpam-6681	272	10	,	,	PUNCT
ejpam-6681	272	11	department	department	NOUN
ejpam-6681	272	12	of	of	ADP
ejpam-6681	272	13	mathematics	mathematics	PROPN
ejpam-6681	272	14	,	,	PUNCT
ejpam-6681	272	15	mafraq	mafraq	PROPN
ejpam-6681	272	16	,	,	PUNCT
ejpam-6681	272	17	jordan	jordan	PROPN
ejpam-6681	272	18	,	,	PUNCT
ejpam-6681	272	19	2018	2018	NUM
ejpam-6681	272	20	.	.	PUNCT
ejpam-6681	273	1	[	[	X
ejpam-6681	273	2	7	7	X
ejpam-6681	273	3	]	]	X
ejpam-6681	273	4	m.	m.	NOUN
ejpam-6681	273	5	gharaibeh	gharaibeh	NOUN
ejpam-6681	273	6	.	.	PUNCT
ejpam-6681	274	1	transmuted	transmute	VERB
ejpam-6681	274	2	aradhana	aradhana	NOUN
ejpam-6681	274	3	distribution	distribution	NOUN
ejpam-6681	274	4	:	:	PUNCT
ejpam-6681	274	5	properties	property	NOUN
ejpam-6681	274	6	and	and	CCONJ
ejpam-6681	274	7	applications	application	NOUN
ejpam-6681	274	8	.	.	PUNCT
ejpam-6681	275	1	jordan	jordan	PROPN
ejpam-6681	275	2	journal	journal	PROPN
ejpam-6681	275	3	of	of	ADP
ejpam-6681	275	4	mathematics	mathematics	PROPN
ejpam-6681	275	5	and	and	CCONJ
ejpam-6681	275	6	statistics	statistic	NOUN
ejpam-6681	275	7	(	(	PUNCT
ejpam-6681	275	8	jjms	jjms	PROPN
ejpam-6681	275	9	)	)	PUNCT
ejpam-6681	275	10	,	,	PUNCT
ejpam-6681	275	11	13(2):287–304	13(2):287–304	NUM
ejpam-6681	275	12	,	,	PUNCT
ejpam-6681	275	13	2020	2020	NUM
ejpam-6681	275	14	.	.	PUNCT
ejpam-6681	276	1	[	[	X
ejpam-6681	276	2	8	8	NUM
ejpam-6681	276	3	]	]	PUNCT
ejpam-6681	276	4	m.	m.	NOUN
ejpam-6681	276	5	t.	t.	PROPN
ejpam-6681	276	6	al	al	PROPN
ejpam-6681	276	7	-	-	PUNCT
ejpam-6681	276	8	odat	odat	PROPN
ejpam-6681	276	9	,	,	PUNCT
ejpam-6681	276	10	n.	n.	NOUN
ejpam-6681	276	11	a.	a.	NOUN
ejpam-6681	276	12	alodat	alodat	PROPN
ejpam-6681	276	13	,	,	PUNCT
ejpam-6681	276	14	and	and	CCONJ
ejpam-6681	276	15	t.	t.	PROPN
ejpam-6681	276	16	t.	t.	PROPN
ejpam-6681	276	17	alodat	alodat	PROPN
ejpam-6681	276	18	.	.	PUNCT
ejpam-6681	277	1	moving	move	VERB
ejpam-6681	277	2	extreme	extreme	ADJ
ejpam-6681	277	3	ranked	rank	VERB
ejpam-6681	277	4	set	set	NOUN
ejpam-6681	277	5	sampling	sample	VERB
ejpam-6681	277	6	for	for	ADP
ejpam-6681	277	7	simple	simple	ADJ
ejpam-6681	277	8	linear	linear	ADJ
ejpam-6681	277	9	regression	regression	NOUN
ejpam-6681	277	10	.	.	PUNCT
ejpam-6681	278	1	statistica	statistica	PROPN
ejpam-6681	278	2	&	&	CCONJ
ejpam-6681	278	3	applicazioni	applicazioni	PROPN
ejpam-6681	278	4	,	,	PUNCT
ejpam-6681	278	5	2:24–37	2:24–37	NOUN
ejpam-6681	278	6	,	,	PUNCT
ejpam-6681	278	7	2009	2009	NUM
ejpam-6681	278	8	.	.	PUNCT
ejpam-6681	279	1	[	[	X
ejpam-6681	279	2	9	9	NUM
ejpam-6681	279	3	]	]	PUNCT
ejpam-6681	279	4	a.	a.	NOUN
ejpam-6681	279	5	alzaatreh	alzaatreh	PROPN
ejpam-6681	279	6	,	,	PUNCT
ejpam-6681	279	7	c.	c.	PROPN
ejpam-6681	279	8	lee	lee	PROPN
ejpam-6681	279	9	,	,	PUNCT
ejpam-6681	279	10	and	and	CCONJ
ejpam-6681	279	11	f.	f.	PROPN
ejpam-6681	279	12	famoye	famoye	PROPN
ejpam-6681	279	13	.	.	PUNCT
ejpam-6681	280	1	a	a	DET
ejpam-6681	280	2	new	new	ADJ
ejpam-6681	280	3	method	method	NOUN
ejpam-6681	280	4	for	for	ADP
ejpam-6681	280	5	generating	generate	VERB
ejpam-6681	280	6	families	family	NOUN
ejpam-6681	280	7	of	of	ADP
ejpam-6681	280	8	distributions	distribution	NOUN
ejpam-6681	280	9	.	.	PUNCT
ejpam-6681	281	1	metron	metron	PROPN
ejpam-6681	281	2	,	,	PUNCT
ejpam-6681	281	3	71:63–79	71:63–79	PROPN
ejpam-6681	281	4	,	,	PUNCT
ejpam-6681	281	5	2013	2013	NUM
ejpam-6681	281	6	.	.	PUNCT
ejpam-6681	282	1	[	[	X
ejpam-6681	282	2	10	10	NUM
ejpam-6681	282	3	]	]	X
ejpam-6681	282	4	l.	l.	PROPN
ejpam-6681	282	5	m.	m.	PROPN
ejpam-6681	282	6	al	al	PROPN
ejpam-6681	282	7	-	-	PROPN
ejpam-6681	282	8	zoubi	zoubi	PROPN
ejpam-6681	282	9	,	,	PUNCT
ejpam-6681	282	10	a.	a.	NOUN
ejpam-6681	282	11	alzaatreh	alzaatreh	PROPN
ejpam-6681	282	12	,	,	PUNCT
ejpam-6681	282	13	et	et	PROPN
ejpam-6681	282	14	al	al	PROPN
ejpam-6681	282	15	.	.	PUNCT
ejpam-6681	282	16	epanechnikov	epanechnikov	NOUN
ejpam-6681	282	17	-	-	PUNCT
ejpam-6681	282	18	exponential	exponential	ADJ
ejpam-6681	282	19	distribution	distribution	NOUN
ejpam-6681	282	20	:	:	PUNCT
ejpam-6681	282	21	properties	property	NOUN
ejpam-6681	282	22	and	and	CCONJ
ejpam-6681	282	23	applications	application	NOUN
ejpam-6681	282	24	.	.	PUNCT
ejpam-6681	283	1	general	general	ADJ
ejpam-6681	283	2	mathematics	mathematics	PROPN
ejpam-6681	283	3	,	,	PUNCT
ejpam-6681	283	4	29(1):13–29	29(1):13–29	NUM
ejpam-6681	283	5	,	,	PUNCT
ejpam-6681	283	6	2021	2021	NUM
ejpam-6681	283	7	.	.	PUNCT
ejpam-6681	284	1	[	[	X
ejpam-6681	284	2	11	11	NUM
ejpam-6681	284	3	]	]	PUNCT
ejpam-6681	284	4	naser	naser	PROPN
ejpam-6681	284	5	odat	odat	PROPN
ejpam-6681	284	6	.	.	PUNCT
ejpam-6681	285	1	estimation	estimation	NOUN
ejpam-6681	285	2	of	of	ADP
ejpam-6681	285	3	reliability	reliability	NOUN
ejpam-6681	285	4	based	base	VERB
ejpam-6681	285	5	on	on	ADP
ejpam-6681	285	6	pareto	pareto	ADJ
ejpam-6681	285	7	distribution	distribution	NOUN
ejpam-6681	285	8	.	.	PUNCT
ejpam-6681	286	1	applied	apply	VERB
ejpam-6681	286	2	mathematical	mathematical	ADJ
ejpam-6681	286	3	sciences	sciences	PROPN
ejpam-6681	286	4	,	,	PUNCT
ejpam-6681	286	5	4(55):2743–2748	4(55):2743–2748	NUM
ejpam-6681	286	6	,	,	PUNCT
ejpam-6681	286	7	2010	2010	NUM
ejpam-6681	286	8	.	.	PUNCT
ejpam-6681	287	1	[	[	X
ejpam-6681	287	2	12	12	NUM
ejpam-6681	287	3	]	]	PUNCT
ejpam-6681	287	4	m.	m.	NOUN
ejpam-6681	287	5	maswadah	maswadah	PROPN
ejpam-6681	287	6	.	.	PUNCT
ejpam-6681	287	7	estimation	estimation	NOUN
ejpam-6681	287	8	of	of	ADP
ejpam-6681	287	9	the	the	DET
ejpam-6681	287	10	weibull	weibull	PROPN
ejpam-6681	287	11	distribution	distribution	NOUN
ejpam-6681	287	12	parameters	parameter	NOUN
ejpam-6681	287	13	and	and	CCONJ
ejpam-6681	287	14	reliability	reliability	NOUN
ejpam-6681	287	15	using	use	VERB
ejpam-6681	287	16	kernel	kernel	PROPN
ejpam-6681	287	17	and	and	CCONJ
ejpam-6681	287	18	bayes	bayes	PROPN
ejpam-6681	287	19	approaches	approach	NOUN
ejpam-6681	287	20	.	.	PUNCT
ejpam-6681	288	1	inf	inf	PROPN
ejpam-6681	288	2	.	.	PUNCT
ejpam-6681	289	1	sci	sci	PROPN
ejpam-6681	289	2	.	.	PROPN
ejpam-6681	289	3	lett	lett	PROPN
ejpam-6681	289	4	,	,	PUNCT
ejpam-6681	289	5	12(3):1125–1132	12(3):1125–1132	PROPN
ejpam-6681	289	6	,	,	PUNCT
ejpam-6681	289	7	2023	2023	NUM
ejpam-6681	289	8	.	.	PUNCT
ejpam-6681	290	1	[	[	X
ejpam-6681	290	2	13	13	NUM
ejpam-6681	290	3	]	]	X
ejpam-6681	290	4	l.	l.	PROPN
ejpam-6681	290	5	m.	m.	PROPN
ejpam-6681	290	6	al	al	PROPN
ejpam-6681	290	7	-	-	PROPN
ejpam-6681	290	8	zoubi	zoubi	PROPN
ejpam-6681	290	9	et	et	PROPN
ejpam-6681	290	10	al	al	PROPN
ejpam-6681	290	11	.	.	PROPN
ejpam-6681	290	12	transmuted	transmuted	ADJ
ejpam-6681	290	13	mukherjee	mukherjee	PROPN
ejpam-6681	290	14	-	-	PUNCT
ejpam-6681	290	15	islam	islam	PROPN
ejpam-6681	290	16	distribution	distribution	NOUN
ejpam-6681	290	17	:	:	PUNCT
ejpam-6681	290	18	a	a	DET
ejpam-6681	290	19	generalization	generalization	NOUN
ejpam-6681	290	20	of	of	ADP
ejpam-6681	290	21	mukherjee	mukherjee	PROPN
ejpam-6681	290	22	-	-	PUNCT
ejpam-6681	290	23	islam	islam	PROPN
ejpam-6681	290	24	distribution	distribution	NOUN
ejpam-6681	290	25	.	.	PUNCT
ejpam-6681	291	1	journal	journal	NOUN
ejpam-6681	291	2	of	of	ADP
ejpam-6681	291	3	mathematics	mathematics	PROPN
ejpam-6681	291	4	research	research	NOUN
ejpam-6681	291	5	,	,	PUNCT
ejpam-6681	291	6	9(4):135–144	9(4):135–144	NUM
ejpam-6681	291	7	,	,	PUNCT
ejpam-6681	291	8	2022	2022	NUM
ejpam-6681	291	9	.	.	PUNCT
ejpam-6681	292	1	[	[	X
ejpam-6681	292	2	14	14	NUM
ejpam-6681	292	3	]	]	X
ejpam-6681	292	4	i.	i.	PROPN
ejpam-6681	292	5	w.	w.	PROPN
ejpam-6681	292	6	burr	burr	PROPN
ejpam-6681	292	7	.	.	PROPN
ejpam-6681	292	8	cumulative	cumulative	ADJ
ejpam-6681	292	9	frequency	frequency	NOUN
ejpam-6681	292	10	functions	function	NOUN
ejpam-6681	292	11	.	.	PUNCT
ejpam-6681	293	1	annals	annal	NOUN
ejpam-6681	293	2	of	of	ADP
ejpam-6681	293	3	mathematical	mathematical	ADJ
ejpam-6681	293	4	statistics	statistic	NOUN
ejpam-6681	293	5	,	,	PUNCT
ejpam-6681	293	6	13:215–232	13:215–232	PROPN
ejpam-6681	293	7	,	,	PUNCT
ejpam-6681	293	8	1942	1942	NUM
ejpam-6681	293	9	.	.	PUNCT
ejpam-6681	294	1	[	[	X
ejpam-6681	294	2	15	15	NUM
ejpam-6681	294	3	]	]	X
ejpam-6681	294	4	w.	w.	PROPN
ejpam-6681	294	5	j.	j.	PROPN
ejpam-6681	294	6	zimmer	zimmer	PROPN
ejpam-6681	294	7	,	,	PUNCT
ejpam-6681	294	8	j.	j.	PROPN
ejpam-6681	294	9	b.	b.	PROPN
ejpam-6681	294	10	keats	keats	PROPN
ejpam-6681	294	11	,	,	PUNCT
ejpam-6681	294	12	and	and	CCONJ
ejpam-6681	294	13	f.	f.	PROPN
ejpam-6681	294	14	k.	k.	PROPN
ejpam-6681	294	15	wang	wang	PROPN
ejpam-6681	294	16	.	.	PUNCT
ejpam-6681	295	1	the	the	DET
ejpam-6681	295	2	burr	burr	PROPN
ejpam-6681	295	3	xii	xii	NOUN
ejpam-6681	295	4	distribution	distribution	NOUN
ejpam-6681	295	5	in	in	ADP
ejpam-6681	295	6	reliability	reliability	NOUN
ejpam-6681	295	7	analysis	analysis	NOUN
ejpam-6681	295	8	.	.	PUNCT
ejpam-6681	296	1	journal	journal	NOUN
ejpam-6681	296	2	of	of	ADP
ejpam-6681	296	3	quality	quality	NOUN
ejpam-6681	296	4	technology	technology	NOUN
ejpam-6681	296	5	,	,	PUNCT
ejpam-6681	296	6	30(4):386–394	30(4):386–394	NUM
ejpam-6681	296	7	,	,	PUNCT
ejpam-6681	296	8	1998	1998	NUM
ejpam-6681	296	9	.	.	PUNCT
ejpam-6681	297	1	[	[	X
ejpam-6681	297	2	16	16	X
ejpam-6681	297	3	]	]	X
ejpam-6681	297	4	y.	y.	PROPN
ejpam-6681	297	5	lie	lie	PROPN
ejpam-6681	297	6	,	,	PUNCT
ejpam-6681	297	7	h.	h.	PROPN
ejpam-6681	297	8	xia	xia	PROPN
ejpam-6681	297	9	,	,	PUNCT
ejpam-6681	297	10	and	and	CCONJ
ejpam-6681	297	11	l.	l.	PROPN
ejpam-6681	297	12	zhang	zhang	PROPN
ejpam-6681	297	13	.	.	PUNCT
ejpam-6681	298	1	the	the	DET
ejpam-6681	298	2	beta	beta	NOUN
ejpam-6681	298	3	-	-	PUNCT
ejpam-6681	298	4	burr	burr	NOUN
ejpam-6681	298	5	xii	xii	NOUN
ejpam-6681	298	6	distribution	distribution	NOUN
ejpam-6681	298	7	and	and	CCONJ
ejpam-6681	298	8	its	its	PRON
ejpam-6681	298	9	applications	application	NOUN
ejpam-6681	298	10	.	.	PUNCT
ejpam-6681	299	1	n.	n.	PROPN
ejpam-6681	299	2	odat	odat	PROPN
ejpam-6681	299	3	et	et	PROPN
ejpam-6681	299	4	al	al	PROPN
ejpam-6681	299	5	.	.	PUNCT
ejpam-6681	299	6	/	/	SYM
ejpam-6681	299	7	eur	eur	PROPN
ejpam-6681	299	8	.	.	PUNCT
ejpam-6681	300	1	j.	j.	PROPN
ejpam-6681	300	2	pure	pure	PROPN
ejpam-6681	300	3	appl	appl	PROPN
ejpam-6681	300	4	.	.	PROPN
ejpam-6681	300	5	math	math	PROPN
ejpam-6681	300	6	,	,	PUNCT
ejpam-6681	300	7	18	18	NUM
ejpam-6681	300	8	(	(	PUNCT
ejpam-6681	300	9	4	4	NUM
ejpam-6681	300	10	)	)	PUNCT
ejpam-6681	300	11	(	(	PUNCT
ejpam-6681	300	12	2025	2025	NUM
ejpam-6681	300	13	)	)	PUNCT
ejpam-6681	300	14	,	,	PUNCT
ejpam-6681	300	15	6681	6681	NUM
ejpam-6681	300	16	15	15	NUM
ejpam-6681	300	17	of	of	ADP
ejpam-6681	300	18	15	15	NUM
ejpam-6681	300	19	in	in	ADP
ejpam-6681	300	20	2010	2010	NUM
ejpam-6681	300	21	2nd	2nd	ADJ
ejpam-6681	300	22	international	international	ADJ
ejpam-6681	300	23	conference	conference	NOUN
ejpam-6681	300	24	on	on	ADP
ejpam-6681	300	25	advanced	advanced	ADJ
ejpam-6681	300	26	computer	computer	NOUN
ejpam-6681	300	27	control	control	NOUN
ejpam-6681	300	28	(	(	PUNCT
ejpam-6681	300	29	icacc	icacc	PROPN
ejpam-6681	300	30	)	)	PUNCT
ejpam-6681	300	31	,	,	PUNCT
ejpam-6681	300	32	volume	volume	NOUN
ejpam-6681	300	33	4	4	NUM
ejpam-6681	300	34	,	,	PUNCT
ejpam-6681	300	35	pages	page	NOUN
ejpam-6681	300	36	533–536	533–536	NUM
ejpam-6681	300	37	.	.	PUNCT
ejpam-6681	301	1	ieee	ieee	PROPN
ejpam-6681	301	2	,	,	PUNCT
ejpam-6681	301	3	2010	2010	NUM
ejpam-6681	301	4	.	.	PUNCT