id	sid	tid	token	lemma	pos
ejpam-6382	1	1	european	european	PROPN
ejpam-6382	1	2	journal	journal	PROPN
ejpam-6382	1	3	of	of	ADP
ejpam-6382	1	4	pure	pure	ADJ
ejpam-6382	1	5	and	and	CCONJ
ejpam-6382	1	6	applied	applied	ADJ
ejpam-6382	1	7	mathematics	mathematic	NOUN
ejpam-6382	1	8	2025	2025	NUM
ejpam-6382	1	9	,	,	PUNCT
ejpam-6382	1	10	vol	vol	NOUN
ejpam-6382	1	11	.	.	PROPN
ejpam-6382	1	12	18	18	NUM
ejpam-6382	1	13	,	,	PUNCT
ejpam-6382	1	14	issue	issue	NOUN
ejpam-6382	1	15	3	3	NUM
ejpam-6382	1	16	,	,	PUNCT
ejpam-6382	1	17	article	article	NOUN
ejpam-6382	1	18	number	number	NOUN
ejpam-6382	1	19	6382	6382	NUM
ejpam-6382	1	20	issn	issn	PROPN
ejpam-6382	1	21	1307	1307	NUM
ejpam-6382	1	22	-	-	SYM
ejpam-6382	1	23	5543	5543	NUM
ejpam-6382	1	24	–	–	PUNCT
ejpam-6382	1	25	ejpam.com	ejpam.com	X
ejpam-6382	1	26	published	publish	VERB
ejpam-6382	1	27	by	by	ADP
ejpam-6382	1	28	new	new	PROPN
ejpam-6382	1	29	york	york	PROPN
ejpam-6382	1	30	business	business	PROPN
ejpam-6382	1	31	global	global	ADJ
ejpam-6382	1	32	length	length	NOUN
ejpam-6382	1	33	-	-	PUNCT
ejpam-6382	1	34	biased	bias	VERB
ejpam-6382	1	35	discretized	discretized	ADJ
ejpam-6382	1	36	fréchet	fréchet	NOUN
ejpam-6382	1	37	-	-	PUNCT
ejpam-6382	1	38	weibull	weibull	NOUN
ejpam-6382	1	39	probability	probability	NOUN
ejpam-6382	1	40	distribution	distribution	NOUN
ejpam-6382	1	41	:	:	PUNCT
ejpam-6382	1	42	mathematical	mathematical	ADJ
ejpam-6382	1	43	theory	theory	NOUN
ejpam-6382	1	44	,	,	PUNCT
ejpam-6382	1	45	simulation	simulation	NOUN
ejpam-6382	1	46	analysis	analysis	NOUN
ejpam-6382	1	47	,	,	PUNCT
ejpam-6382	1	48	and	and	CCONJ
ejpam-6382	1	49	goodness	goodness	NOUN
ejpam-6382	1	50	-	-	PUNCT
ejpam-6382	1	51	of	of	ADP
ejpam-6382	1	52	-	-	PUNCT
ejpam-6382	1	53	fit	fit	NOUN
ejpam-6382	1	54	evaluation	evaluation	NOUN
ejpam-6382	1	55	using	use	VERB
ejpam-6382	1	56	real	real	ADJ
ejpam-6382	1	57	-	-	PUNCT
ejpam-6382	1	58	life	life	NOUN
ejpam-6382	1	59	data	datum	NOUN
ejpam-6382	1	60	diksha	diksha	PROPN
ejpam-6382	1	61	das1	das1	PROPN
ejpam-6382	1	62	,	,	PUNCT
ejpam-6382	1	63	mohamed	mohamed	PROPN
ejpam-6382	1	64	f.	f.	PROPN
ejpam-6382	1	65	abouelenein	abouelenein	PROPN
ejpam-6382	1	66	2	2	NUM
ejpam-6382	1	67	,	,	PUNCT
ejpam-6382	1	68	bhanita	bhanita	NOUN
ejpam-6382	1	69	das	das	PROPN
ejpam-6382	1	70	1	1	NUM
ejpam-6382	1	71	,	,	PUNCT
ejpam-6382	2	1	mohamed	mohamed	PROPN
ejpam-6382	2	2	s.	s.	PROPN
ejpam-6382	2	3	eliwa3,4,∗	eliwa3,4,∗	PROPN
ejpam-6382	2	4	1	1	NUM
ejpam-6382	2	5	department	department	NOUN
ejpam-6382	2	6	of	of	ADP
ejpam-6382	2	7	statistics	statistic	NOUN
ejpam-6382	2	8	,	,	PUNCT
ejpam-6382	2	9	north	north	NOUN
ejpam-6382	2	10	-	-	PUNCT
ejpam-6382	2	11	eastern	eastern	PROPN
ejpam-6382	2	12	hill	hill	PROPN
ejpam-6382	2	13	university	university	PROPN
ejpam-6382	2	14	,	,	PUNCT
ejpam-6382	2	15	shillong	shillong	PROPN
ejpam-6382	2	16	,	,	PUNCT
ejpam-6382	2	17	meghalaya	meghalaya	PROPN
ejpam-6382	2	18	,	,	PUNCT
ejpam-6382	2	19	india	india	PROPN
ejpam-6382	2	20	2	2	NUM
ejpam-6382	2	21	department	department	NOUN
ejpam-6382	2	22	of	of	ADP
ejpam-6382	2	23	insurance	insurance	NOUN
ejpam-6382	2	24	and	and	CCONJ
ejpam-6382	2	25	risk	risk	NOUN
ejpam-6382	2	26	management	management	NOUN
ejpam-6382	2	27	,	,	PUNCT
ejpam-6382	2	28	college	college	NOUN
ejpam-6382	2	29	of	of	ADP
ejpam-6382	2	30	business	business	NOUN
ejpam-6382	2	31	,	,	PUNCT
ejpam-6382	2	32	imam	imam	PROPN
ejpam-6382	2	33	mohammad	mohammad	PROPN
ejpam-6382	2	34	ibn	ibn	PROPN
ejpam-6382	2	35	saud	saud	PROPN
ejpam-6382	2	36	islamic	islamic	PROPN
ejpam-6382	2	37	university	university	PROPN
ejpam-6382	2	38	(	(	PUNCT
ejpam-6382	2	39	imsiu	imsiu	PROPN
ejpam-6382	2	40	)	)	PUNCT
ejpam-6382	2	41	,	,	PUNCT
ejpam-6382	2	42	riyadh	riyadh	PROPN
ejpam-6382	2	43	11432	11432	NUM
ejpam-6382	2	44	,	,	PUNCT
ejpam-6382	2	45	riyadh	riyadh	PROPN
ejpam-6382	2	46	,	,	PUNCT
ejpam-6382	2	47	saudi	saudi	PROPN
ejpam-6382	2	48	arabia	arabia	PROPN
ejpam-6382	2	49	3	3	NUM
ejpam-6382	2	50	department	department	NOUN
ejpam-6382	2	51	of	of	ADP
ejpam-6382	2	52	statistics	statistic	NOUN
ejpam-6382	2	53	and	and	CCONJ
ejpam-6382	2	54	operations	operation	NOUN
ejpam-6382	2	55	research	research	NOUN
ejpam-6382	2	56	,	,	PUNCT
ejpam-6382	2	57	college	college	NOUN
ejpam-6382	2	58	of	of	ADP
ejpam-6382	2	59	science	science	NOUN
ejpam-6382	2	60	,	,	PUNCT
ejpam-6382	2	61	qassim	qassim	PROPN
ejpam-6382	2	62	university	university	PROPN
ejpam-6382	2	63	,	,	PUNCT
ejpam-6382	2	64	saudi	saudi	PROPN
ejpam-6382	2	65	arabia	arabia	PROPN
ejpam-6382	2	66	4	4	NUM
ejpam-6382	2	67	department	department	NOUN
ejpam-6382	2	68	of	of	ADP
ejpam-6382	2	69	mathematics	mathematic	NOUN
ejpam-6382	2	70	,	,	PUNCT
ejpam-6382	2	71	faculty	faculty	NOUN
ejpam-6382	2	72	of	of	ADP
ejpam-6382	2	73	science	science	NOUN
ejpam-6382	2	74	,	,	PUNCT
ejpam-6382	2	75	mansoura	mansoura	PROPN
ejpam-6382	2	76	university	university	NOUN
ejpam-6382	2	77	,	,	PUNCT
ejpam-6382	2	78	mansoura	mansoura	PROPN
ejpam-6382	2	79	35516	35516	NUM
ejpam-6382	2	80	,	,	PUNCT
ejpam-6382	2	81	egypt	egypt	PROPN
ejpam-6382	2	82	abstract	abstract	PROPN
ejpam-6382	2	83	.	.	PUNCT
ejpam-6382	3	1	as	as	SCONJ
ejpam-6382	3	2	data	datum	NOUN
ejpam-6382	3	3	becomes	become	VERB
ejpam-6382	3	4	more	more	ADV
ejpam-6382	3	5	complex	complex	ADJ
ejpam-6382	3	6	and	and	CCONJ
ejpam-6382	3	7	abundant	abundant	ADJ
ejpam-6382	3	8	,	,	PUNCT
ejpam-6382	3	9	the	the	DET
ejpam-6382	3	10	need	need	NOUN
ejpam-6382	3	11	for	for	ADP
ejpam-6382	3	12	innovative	innovative	ADJ
ejpam-6382	3	13	statistical	statistical	ADJ
ejpam-6382	3	14	tools	tool	NOUN
ejpam-6382	3	15	grows	grow	VERB
ejpam-6382	3	16	.	.	PUNCT
ejpam-6382	4	1	this	this	DET
ejpam-6382	4	2	study	study	NOUN
ejpam-6382	4	3	introduces	introduce	VERB
ejpam-6382	4	4	a	a	DET
ejpam-6382	4	5	new	new	ADJ
ejpam-6382	4	6	modeling	modeling	NOUN
ejpam-6382	4	7	framework	framework	NOUN
ejpam-6382	4	8	based	base	VERB
ejpam-6382	4	9	on	on	ADP
ejpam-6382	4	10	a	a	DET
ejpam-6382	4	11	length	length	NOUN
ejpam-6382	4	12	-	-	PUNCT
ejpam-6382	4	13	biased	biased	ADJ
ejpam-6382	4	14	variant	variant	NOUN
ejpam-6382	4	15	of	of	ADP
ejpam-6382	4	16	the	the	DET
ejpam-6382	4	17	discretized	discretized	ADJ
ejpam-6382	4	18	fréchet	fréchet	NOUN
ejpam-6382	4	19	-	-	PUNCT
ejpam-6382	4	20	weibull	weibull	NOUN
ejpam-6382	4	21	distribution	distribution	NOUN
ejpam-6382	4	22	,	,	PUNCT
ejpam-6382	4	23	designed	design	VERB
ejpam-6382	4	24	to	to	PART
ejpam-6382	4	25	handle	handle	VERB
ejpam-6382	4	26	intricate	intricate	ADJ
ejpam-6382	4	27	data	datum	NOUN
ejpam-6382	4	28	structures	structure	NOUN
ejpam-6382	4	29	often	often	ADV
ejpam-6382	4	30	encountered	encounter	VERB
ejpam-6382	4	31	in	in	ADP
ejpam-6382	4	32	practical	practical	ADJ
ejpam-6382	4	33	applications	application	NOUN
ejpam-6382	4	34	.	.	PUNCT
ejpam-6382	5	1	the	the	DET
ejpam-6382	5	2	paper	paper	NOUN
ejpam-6382	5	3	explores	explore	VERB
ejpam-6382	5	4	the	the	DET
ejpam-6382	5	5	mathematical	mathematical	ADJ
ejpam-6382	5	6	foundation	foundation	NOUN
ejpam-6382	5	7	of	of	ADP
ejpam-6382	5	8	this	this	DET
ejpam-6382	5	9	distribution	distribution	NOUN
ejpam-6382	5	10	and	and	CCONJ
ejpam-6382	5	11	derives	derive	VERB
ejpam-6382	5	12	its	its	PRON
ejpam-6382	5	13	probability	probability	NOUN
ejpam-6382	5	14	functions	function	NOUN
ejpam-6382	5	15	,	,	PUNCT
ejpam-6382	5	16	providing	provide	VERB
ejpam-6382	5	17	an	an	DET
ejpam-6382	5	18	intuitive	intuitive	ADJ
ejpam-6382	5	19	understanding	understanding	NOUN
ejpam-6382	5	20	of	of	ADP
ejpam-6382	5	21	its	its	PRON
ejpam-6382	5	22	behavior	behavior	NOUN
ejpam-6382	5	23	across	across	ADP
ejpam-6382	5	24	various	various	ADJ
ejpam-6382	5	25	parameters	parameter	NOUN
ejpam-6382	5	26	.	.	PUNCT
ejpam-6382	6	1	it	it	PRON
ejpam-6382	6	2	highlights	highlight	VERB
ejpam-6382	6	3	the	the	DET
ejpam-6382	6	4	flexibility	flexibility	NOUN
ejpam-6382	6	5	of	of	ADP
ejpam-6382	6	6	the	the	DET
ejpam-6382	6	7	model	model	NOUN
ejpam-6382	6	8	to	to	PART
ejpam-6382	6	9	capture	capture	VERB
ejpam-6382	6	10	a	a	DET
ejpam-6382	6	11	range	range	NOUN
ejpam-6382	6	12	of	of	ADP
ejpam-6382	6	13	hazard	hazard	NOUN
ejpam-6382	6	14	rate	rate	NOUN
ejpam-6382	6	15	forms	form	NOUN
ejpam-6382	6	16	,	,	PUNCT
ejpam-6382	6	17	including	include	VERB
ejpam-6382	6	18	increasing	increase	VERB
ejpam-6382	6	19	,	,	PUNCT
ejpam-6382	6	20	decreasing	decrease	VERB
ejpam-6382	6	21	,	,	PUNCT
ejpam-6382	6	22	upside	upside	ADV
ejpam-6382	6	23	-	-	PUNCT
ejpam-6382	6	24	down	down	ADP
ejpam-6382	6	25	bathtub	bathtub	NOUN
ejpam-6382	6	26	-	-	PUNCT
ejpam-6382	6	27	shaped	shape	VERB
ejpam-6382	6	28	,	,	PUNCT
ejpam-6382	6	29	and	and	CCONJ
ejpam-6382	6	30	unimodal	unimodal	ADJ
ejpam-6382	6	31	functions	function	NOUN
ejpam-6382	6	32	,	,	PUNCT
ejpam-6382	6	33	making	make	VERB
ejpam-6382	6	34	it	it	PRON
ejpam-6382	6	35	suitable	suitable	ADJ
ejpam-6382	6	36	for	for	ADP
ejpam-6382	6	37	diverse	diverse	ADJ
ejpam-6382	6	38	failure	failure	NOUN
ejpam-6382	6	39	-	-	PUNCT
ejpam-6382	6	40	time	time	NOUN
ejpam-6382	6	41	and	and	CCONJ
ejpam-6382	6	42	count	count	ADJ
ejpam-6382	6	43	-	-	PUNCT
ejpam-6382	6	44	data	datum	NOUN
ejpam-6382	6	45	scenarios	scenario	NOUN
ejpam-6382	6	46	.	.	PUNCT
ejpam-6382	7	1	a	a	DET
ejpam-6382	7	2	key	key	ADJ
ejpam-6382	7	3	feature	feature	NOUN
ejpam-6382	7	4	is	be	AUX
ejpam-6382	7	5	the	the	DET
ejpam-6382	7	6	model	model	NOUN
ejpam-6382	7	7	’s	’s	PART
ejpam-6382	7	8	ability	ability	NOUN
ejpam-6382	7	9	to	to	PART
ejpam-6382	7	10	address	address	VERB
ejpam-6382	7	11	overdispersion	overdispersion	NOUN
ejpam-6382	7	12	and	and	CCONJ
ejpam-6382	7	13	underdispersion	underdispersion	NOUN
ejpam-6382	7	14	,	,	PUNCT
ejpam-6382	7	15	as	as	ADV
ejpam-6382	7	16	well	well	ADV
ejpam-6382	7	17	as	as	ADP
ejpam-6382	7	18	asymmetric	asymmetric	ADJ
ejpam-6382	7	19	data	datum	NOUN
ejpam-6382	7	20	behaviors	behavior	NOUN
ejpam-6382	7	21	.	.	PUNCT
ejpam-6382	8	1	it	it	PRON
ejpam-6382	8	2	is	be	AUX
ejpam-6382	8	3	effective	effective	ADJ
ejpam-6382	8	4	in	in	ADP
ejpam-6382	8	5	scenarios	scenario	NOUN
ejpam-6382	8	6	with	with	ADP
ejpam-6382	8	7	excess	excess	ADJ
ejpam-6382	8	8	zeros	zero	NOUN
ejpam-6382	8	9	,	,	PUNCT
ejpam-6382	8	10	common	common	ADJ
ejpam-6382	8	11	in	in	ADP
ejpam-6382	8	12	fields	field	NOUN
ejpam-6382	8	13	like	like	ADP
ejpam-6382	8	14	insurance	insurance	NOUN
ejpam-6382	8	15	and	and	CCONJ
ejpam-6382	8	16	epidemiology	epidemiology	NOUN
ejpam-6382	8	17	.	.	PUNCT
ejpam-6382	9	1	the	the	DET
ejpam-6382	9	2	characteristics	characteristic	NOUN
ejpam-6382	9	3	of	of	ADP
ejpam-6382	9	4	the	the	DET
ejpam-6382	9	5	length	length	NOUN
ejpam-6382	9	6	-	-	PUNCT
ejpam-6382	9	7	biased	bias	VERB
ejpam-6382	9	8	discretized	discretized	ADJ
ejpam-6382	9	9	fréchet	fréchet	NOUN
ejpam-6382	9	10	-	-	PUNCT
ejpam-6382	9	11	weibull	weibull	NOUN
ejpam-6382	9	12	distribution	distribution	NOUN
ejpam-6382	9	13	are	be	AUX
ejpam-6382	9	14	examined	examine	VERB
ejpam-6382	9	15	using	use	VERB
ejpam-6382	9	16	conditional	conditional	ADJ
ejpam-6382	9	17	expectations	expectation	NOUN
ejpam-6382	9	18	and	and	CCONJ
ejpam-6382	9	19	reverse	reverse	VERB
ejpam-6382	9	20	hazard	hazard	NOUN
ejpam-6382	9	21	rate	rate	NOUN
ejpam-6382	9	22	functions	function	NOUN
ejpam-6382	9	23	.	.	PUNCT
ejpam-6382	10	1	parameter	parameter	PROPN
ejpam-6382	10	2	estimation	estimation	NOUN
ejpam-6382	10	3	is	be	AUX
ejpam-6382	10	4	performed	perform	VERB
ejpam-6382	10	5	using	use	VERB
ejpam-6382	10	6	maximum	maximum	ADJ
ejpam-6382	10	7	likelihood	likelihood	NOUN
ejpam-6382	10	8	estimation	estimation	NOUN
ejpam-6382	10	9	,	,	PUNCT
ejpam-6382	10	10	with	with	ADP
ejpam-6382	10	11	a	a	DET
ejpam-6382	10	12	simulation	simulation	NOUN
ejpam-6382	10	13	study	study	NOUN
ejpam-6382	10	14	assessing	assess	VERB
ejpam-6382	10	15	the	the	DET
ejpam-6382	10	16	reliability	reliability	NOUN
ejpam-6382	10	17	and	and	CCONJ
ejpam-6382	10	18	efficiency	efficiency	NOUN
ejpam-6382	10	19	of	of	ADP
ejpam-6382	10	20	the	the	DET
ejpam-6382	10	21	estimators	estimator	NOUN
ejpam-6382	10	22	.	.	PUNCT
ejpam-6382	11	1	the	the	DET
ejpam-6382	11	2	practical	practical	ADJ
ejpam-6382	11	3	value	value	NOUN
ejpam-6382	11	4	of	of	ADP
ejpam-6382	11	5	the	the	DET
ejpam-6382	11	6	model	model	NOUN
ejpam-6382	11	7	is	be	AUX
ejpam-6382	11	8	demonstrated	demonstrate	VERB
ejpam-6382	11	9	through	through	ADP
ejpam-6382	11	10	applications	application	NOUN
ejpam-6382	11	11	to	to	ADP
ejpam-6382	11	12	two	two	NUM
ejpam-6382	11	13	real	real	ADJ
ejpam-6382	11	14	datasets	dataset	NOUN
ejpam-6382	11	15	,	,	PUNCT
ejpam-6382	11	16	showing	show	VERB
ejpam-6382	11	17	a	a	DET
ejpam-6382	11	18	superior	superior	ADJ
ejpam-6382	11	19	fit	fit	NOUN
ejpam-6382	11	20	compared	compare	VERB
ejpam-6382	11	21	to	to	ADP
ejpam-6382	11	22	several	several	ADJ
ejpam-6382	11	23	established	establish	VERB
ejpam-6382	11	24	alternatives	alternative	NOUN
ejpam-6382	11	25	.	.	PUNCT
ejpam-6382	12	1	2020	2020	NUM
ejpam-6382	12	2	mathematics	mathematic	NOUN
ejpam-6382	12	3	subject	subject	NOUN
ejpam-6382	12	4	classifications	classification	NOUN
ejpam-6382	12	5	:	:	PUNCT
ejpam-6382	12	6	62e99	62e99	NUM
ejpam-6382	12	7	,	,	PUNCT
ejpam-6382	12	8	62e15	62e15	NUM
ejpam-6382	12	9	key	key	ADJ
ejpam-6382	12	10	words	word	NOUN
ejpam-6382	12	11	and	and	CCONJ
ejpam-6382	12	12	phrases	phrase	NOUN
ejpam-6382	12	13	:	:	PUNCT
ejpam-6382	12	14	length	length	NOUN
ejpam-6382	12	15	-	-	PUNCT
ejpam-6382	12	16	biased	bias	VERB
ejpam-6382	12	17	modeling	modeling	NOUN
ejpam-6382	12	18	approach	approach	NOUN
ejpam-6382	12	19	,	,	PUNCT
ejpam-6382	12	20	failure	failure	NOUN
ejpam-6382	12	21	analysis	analysis	NOUN
ejpam-6382	12	22	,	,	PUNCT
ejpam-6382	12	23	conditional	conditional	ADJ
ejpam-6382	12	24	expectation	expectation	NOUN
ejpam-6382	12	25	,	,	PUNCT
ejpam-6382	12	26	infinite	infinite	ADJ
ejpam-6382	12	27	divisibility	divisibility	NOUN
ejpam-6382	12	28	property	property	NOUN
ejpam-6382	12	29	,	,	PUNCT
ejpam-6382	12	30	simulation	simulation	NOUN
ejpam-6382	12	31	,	,	PUNCT
ejpam-6382	12	32	statistics	statistic	NOUN
ejpam-6382	12	33	and	and	CCONJ
ejpam-6382	12	34	numerical	numerical	ADJ
ejpam-6382	12	35	data	datum	NOUN
ejpam-6382	12	36	∗corresponding	∗corresponde	VERB
ejpam-6382	12	37	author	author	NOUN
ejpam-6382	12	38	.	.	PUNCT
ejpam-6382	13	1	doi	doi	NOUN
ejpam-6382	13	2	:	:	PUNCT
ejpam-6382	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6382	https://doi.org/10.29020/nybg.ejpam.v18i3.6382	PROPN
ejpam-6382	13	4	email	email	NOUN
ejpam-6382	13	5	addresses	address	NOUN
ejpam-6382	13	6	:	:	PUNCT
ejpam-6382	13	7	mseliwa@mans.edu.eg	mseliwa@mans.edu.eg	PROPN
ejpam-6382	13	8	(	(	PUNCT
ejpam-6382	13	9	m.	m.	PROPN
ejpam-6382	13	10	s.	s.	PROPN
ejpam-6382	13	11	eliwa	eliwa	PROPN
ejpam-6382	13	12	)	)	PUNCT
ejpam-6382	13	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6382	13	14	1	1	NUM
ejpam-6382	13	15	copyright	copyright	NOUN
ejpam-6382	13	16	:	:	PUNCT
ejpam-6382	14	1	©	©	PROPN
ejpam-6382	14	2	2025	2025	NUM
ejpam-6382	14	3	the	the	DET
ejpam-6382	14	4	author(s	author(s	NOUN
ejpam-6382	14	5	)	)	PUNCT
ejpam-6382	14	6	.	.	PUNCT
ejpam-6382	15	1	(	(	PUNCT
ejpam-6382	15	2	cc	cc	NOUN
ejpam-6382	15	3	by	by	ADP
ejpam-6382	15	4	-	-	PUNCT
ejpam-6382	15	5	nc	nc	PROPN
ejpam-6382	15	6	4.0	4.0	NUM
ejpam-6382	15	7	)	)	PUNCT
ejpam-6382	15	8	d.	d.	PROPN
ejpam-6382	15	9	das	das	PROPN
ejpam-6382	15	10	et	et	PROPN
ejpam-6382	15	11	al	al	PROPN
ejpam-6382	15	12	.	.	PUNCT
ejpam-6382	15	13	/	/	SYM
ejpam-6382	15	14	eur	eur	PROPN
ejpam-6382	15	15	.	.	PUNCT
ejpam-6382	16	1	j.	j.	PROPN
ejpam-6382	16	2	pure	pure	PROPN
ejpam-6382	16	3	appl	appl	PROPN
ejpam-6382	16	4	.	.	PROPN
ejpam-6382	16	5	math	math	PROPN
ejpam-6382	16	6	,	,	PUNCT
ejpam-6382	16	7	18	18	NUM
ejpam-6382	16	8	(	(	PUNCT
ejpam-6382	16	9	3	3	NUM
ejpam-6382	16	10	)	)	PUNCT
ejpam-6382	16	11	(	(	PUNCT
ejpam-6382	16	12	2025	2025	NUM
ejpam-6382	16	13	)	)	PUNCT
ejpam-6382	16	14	,	,	PUNCT
ejpam-6382	16	15	6382	6382	NUM
ejpam-6382	16	16	2	2	NUM
ejpam-6382	16	17	of	of	ADP
ejpam-6382	16	18	29	29	NUM
ejpam-6382	16	19	1	1	NUM
ejpam-6382	16	20	.	.	PUNCT
ejpam-6382	17	1	introduction	introduction	NOUN
ejpam-6382	17	2	in	in	ADP
ejpam-6382	17	3	statistical	statistical	ADJ
ejpam-6382	17	4	investigations	investigation	NOUN
ejpam-6382	17	5	,	,	PUNCT
ejpam-6382	17	6	the	the	DET
ejpam-6382	17	7	choice	choice	NOUN
ejpam-6382	17	8	and	and	CCONJ
ejpam-6382	17	9	application	application	NOUN
ejpam-6382	17	10	of	of	ADP
ejpam-6382	17	11	appropriate	appropriate	ADJ
ejpam-6382	17	12	sampling	sampling	NOUN
ejpam-6382	17	13	techniques	technique	NOUN
ejpam-6382	17	14	mark	mark	VERB
ejpam-6382	17	15	the	the	DET
ejpam-6382	17	16	initial	initial	ADJ
ejpam-6382	17	17	and	and	CCONJ
ejpam-6382	17	18	critical	critical	ADJ
ejpam-6382	17	19	step	step	NOUN
ejpam-6382	17	20	of	of	ADP
ejpam-6382	17	21	data	datum	NOUN
ejpam-6382	17	22	collection	collection	NOUN
ejpam-6382	17	23	.	.	PUNCT
ejpam-6382	18	1	these	these	DET
ejpam-6382	18	2	techniques	technique	NOUN
ejpam-6382	18	3	form	form	VERB
ejpam-6382	18	4	the	the	DET
ejpam-6382	18	5	backbone	backbone	NOUN
ejpam-6382	18	6	of	of	ADP
ejpam-6382	18	7	any	any	DET
ejpam-6382	18	8	empirical	empirical	ADJ
ejpam-6382	18	9	study	study	NOUN
ejpam-6382	18	10	,	,	PUNCT
ejpam-6382	18	11	as	as	SCONJ
ejpam-6382	18	12	they	they	PRON
ejpam-6382	18	13	determine	determine	VERB
ejpam-6382	18	14	the	the	DET
ejpam-6382	18	15	representativeness	representativeness	NOUN
ejpam-6382	18	16	and	and	CCONJ
ejpam-6382	18	17	reliability	reliability	NOUN
ejpam-6382	18	18	of	of	ADP
ejpam-6382	18	19	the	the	DET
ejpam-6382	18	20	collected	collect	VERB
ejpam-6382	18	21	data	datum	NOUN
ejpam-6382	18	22	.	.	PUNCT
ejpam-6382	19	1	sampling	sample	VERB
ejpam-6382	19	2	plays	play	VERB
ejpam-6382	19	3	a	a	DET
ejpam-6382	19	4	pivotal	pivotal	ADJ
ejpam-6382	19	5	role	role	NOUN
ejpam-6382	19	6	in	in	ADP
ejpam-6382	19	7	ensuring	ensure	VERB
ejpam-6382	19	8	valid	valid	ADJ
ejpam-6382	19	9	conclusions	conclusion	NOUN
ejpam-6382	19	10	are	be	AUX
ejpam-6382	19	11	drawn	draw	VERB
ejpam-6382	19	12	about	about	ADP
ejpam-6382	19	13	the	the	DET
ejpam-6382	19	14	population	population	NOUN
ejpam-6382	19	15	under	under	ADP
ejpam-6382	19	16	study	study	NOUN
ejpam-6382	19	17	.	.	PUNCT
ejpam-6382	20	1	despite	despite	SCONJ
ejpam-6382	20	2	its	its	PRON
ejpam-6382	20	3	importance	importance	NOUN
ejpam-6382	20	4	,	,	PUNCT
ejpam-6382	20	5	the	the	DET
ejpam-6382	20	6	specific	specific	ADJ
ejpam-6382	20	7	method	method	NOUN
ejpam-6382	20	8	employed	employ	VERB
ejpam-6382	20	9	for	for	ADP
ejpam-6382	20	10	selecting	select	VERB
ejpam-6382	20	11	samples	sample	NOUN
ejpam-6382	20	12	is	be	AUX
ejpam-6382	20	13	frequently	frequently	ADV
ejpam-6382	20	14	underreported	underreported	ADJ
ejpam-6382	20	15	or	or	CCONJ
ejpam-6382	20	16	neglected	neglect	VERB
ejpam-6382	20	17	.	.	PUNCT
ejpam-6382	21	1	such	such	ADJ
ejpam-6382	21	2	oversight	oversight	NOUN
ejpam-6382	21	3	can	can	AUX
ejpam-6382	21	4	result	result	VERB
ejpam-6382	21	5	in	in	ADP
ejpam-6382	21	6	the	the	DET
ejpam-6382	21	7	omission	omission	NOUN
ejpam-6382	21	8	of	of	ADP
ejpam-6382	21	9	rare	rare	ADJ
ejpam-6382	21	10	occurrences	occurrence	NOUN
ejpam-6382	21	11	that	that	PRON
ejpam-6382	21	12	hold	hold	VERB
ejpam-6382	21	13	significant	significant	ADJ
ejpam-6382	21	14	inferential	inferential	ADJ
ejpam-6382	21	15	value	value	NOUN
ejpam-6382	21	16	.	.	PUNCT
ejpam-6382	22	1	for	for	ADP
ejpam-6382	22	2	instance	instance	NOUN
ejpam-6382	22	3	,	,	PUNCT
ejpam-6382	22	4	the	the	DET
ejpam-6382	22	5	presence	presence	NOUN
ejpam-6382	22	6	of	of	ADP
ejpam-6382	22	7	a	a	DET
ejpam-6382	22	8	child	child	NOUN
ejpam-6382	22	9	with	with	ADP
ejpam-6382	22	10	albinism	albinism	NOUN
ejpam-6382	22	11	in	in	ADP
ejpam-6382	22	12	a	a	DET
ejpam-6382	22	13	family	family	NOUN
ejpam-6382	22	14	,	,	PUNCT
ejpam-6382	22	15	a	a	DET
ejpam-6382	22	16	notably	notably	ADV
ejpam-6382	22	17	uncommon	uncommon	ADJ
ejpam-6382	22	18	phenomenon	phenomenon	NOUN
ejpam-6382	22	19	,	,	PUNCT
ejpam-6382	22	20	serves	serve	VERB
ejpam-6382	22	21	as	as	ADP
ejpam-6382	22	22	a	a	DET
ejpam-6382	22	23	prototypical	prototypical	ADJ
ejpam-6382	22	24	example	example	NOUN
ejpam-6382	22	25	of	of	ADP
ejpam-6382	22	26	rare	rare	ADJ
ejpam-6382	22	27	events	event	NOUN
ejpam-6382	22	28	that	that	PRON
ejpam-6382	22	29	can	can	AUX
ejpam-6382	22	30	be	be	AUX
ejpam-6382	22	31	overlooked	overlook	VERB
ejpam-6382	22	32	if	if	SCONJ
ejpam-6382	22	33	the	the	DET
ejpam-6382	22	34	sampling	sample	VERB
ejpam-6382	22	35	process	process	NOUN
ejpam-6382	22	36	fails	fail	VERB
ejpam-6382	22	37	to	to	PART
ejpam-6382	22	38	account	account	VERB
ejpam-6382	22	39	for	for	ADP
ejpam-6382	22	40	them	they	PRON
ejpam-6382	22	41	adequately	adequately	ADV
ejpam-6382	22	42	.	.	PUNCT
ejpam-6382	23	1	identifying	identify	VERB
ejpam-6382	23	2	and	and	CCONJ
ejpam-6382	23	3	incorporating	incorporate	VERB
ejpam-6382	23	4	such	such	ADJ
ejpam-6382	23	5	rare	rare	ADJ
ejpam-6382	23	6	events	event	NOUN
ejpam-6382	23	7	into	into	ADP
ejpam-6382	23	8	the	the	DET
ejpam-6382	23	9	analytical	analytical	ADJ
ejpam-6382	23	10	framework	framework	NOUN
ejpam-6382	23	11	is	be	AUX
ejpam-6382	23	12	essential	essential	ADJ
ejpam-6382	23	13	,	,	PUNCT
ejpam-6382	23	14	particularly	particularly	ADV
ejpam-6382	23	15	when	when	SCONJ
ejpam-6382	23	16	the	the	DET
ejpam-6382	23	17	objective	objective	NOUN
ejpam-6382	23	18	is	be	AUX
ejpam-6382	23	19	to	to	PART
ejpam-6382	23	20	make	make	VERB
ejpam-6382	23	21	accurate	accurate	ADJ
ejpam-6382	23	22	generalizations	generalization	NOUN
ejpam-6382	23	23	about	about	ADP
ejpam-6382	23	24	the	the	DET
ejpam-6382	23	25	entire	entire	ADJ
ejpam-6382	23	26	population	population	NOUN
ejpam-6382	23	27	,	,	PUNCT
ejpam-6382	23	28	including	include	VERB
ejpam-6382	23	29	these	these	DET
ejpam-6382	23	30	low	low	ADJ
ejpam-6382	23	31	-	-	PUNCT
ejpam-6382	23	32	probability	probability	NOUN
ejpam-6382	23	33	cases	case	NOUN
ejpam-6382	23	34	.	.	PUNCT
ejpam-6382	24	1	without	without	ADP
ejpam-6382	24	2	such	such	ADJ
ejpam-6382	24	3	due	due	ADJ
ejpam-6382	24	4	diligence	diligence	NOUN
ejpam-6382	24	5	,	,	PUNCT
ejpam-6382	24	6	conclusions	conclusion	NOUN
ejpam-6382	24	7	drawn	draw	VERB
ejpam-6382	24	8	may	may	AUX
ejpam-6382	24	9	not	not	PART
ejpam-6382	24	10	reflect	reflect	VERB
ejpam-6382	24	11	the	the	DET
ejpam-6382	24	12	true	true	ADJ
ejpam-6382	24	13	nature	nature	NOUN
ejpam-6382	24	14	of	of	ADP
ejpam-6382	24	15	the	the	DET
ejpam-6382	24	16	population	population	NOUN
ejpam-6382	24	17	.	.	PUNCT
ejpam-6382	25	1	in	in	ADP
ejpam-6382	25	2	practical	practical	ADJ
ejpam-6382	25	3	research	research	NOUN
ejpam-6382	25	4	settings	setting	NOUN
ejpam-6382	25	5	involving	involve	VERB
ejpam-6382	25	6	human	human	ADJ
ejpam-6382	25	7	populations	population	NOUN
ejpam-6382	25	8	,	,	PUNCT
ejpam-6382	25	9	flora	flora	NOUN
ejpam-6382	25	10	,	,	PUNCT
ejpam-6382	25	11	fauna	fauna	NOUN
ejpam-6382	25	12	,	,	PUNCT
ejpam-6382	25	13	aquatic	aquatic	ADJ
ejpam-6382	25	14	species	specie	NOUN
ejpam-6382	25	15	,	,	PUNCT
ejpam-6382	25	16	and	and	CCONJ
ejpam-6382	25	17	insects	insect	NOUN
ejpam-6382	25	18	,	,	PUNCT
ejpam-6382	25	19	it	it	PRON
ejpam-6382	25	20	is	be	AUX
ejpam-6382	25	21	often	often	ADV
ejpam-6382	25	22	infeasible	infeasible	ADJ
ejpam-6382	25	23	to	to	PART
ejpam-6382	25	24	guarantee	guarantee	VERB
ejpam-6382	25	25	equal	equal	ADJ
ejpam-6382	25	26	selection	selection	NOUN
ejpam-6382	25	27	probability	probability	NOUN
ejpam-6382	25	28	for	for	ADP
ejpam-6382	25	29	all	all	DET
ejpam-6382	25	30	sampling	sample	VERB
ejpam-6382	25	31	units	unit	NOUN
ejpam-6382	25	32	due	due	ADJ
ejpam-6382	25	33	to	to	ADP
ejpam-6382	25	34	the	the	DET
ejpam-6382	25	35	absence	absence	NOUN
ejpam-6382	25	36	of	of	ADP
ejpam-6382	25	37	a	a	DET
ejpam-6382	25	38	complete	complete	ADJ
ejpam-6382	25	39	and	and	CCONJ
ejpam-6382	25	40	well	well	ADV
ejpam-6382	25	41	-	-	PUNCT
ejpam-6382	25	42	defined	define	VERB
ejpam-6382	25	43	sampling	sampling	NOUN
ejpam-6382	25	44	frame	frame	NOUN
ejpam-6382	25	45	.	.	PUNCT
ejpam-6382	26	1	this	this	DET
ejpam-6382	26	2	limitation	limitation	NOUN
ejpam-6382	26	3	introduces	introduce	VERB
ejpam-6382	26	4	bias	bias	NOUN
ejpam-6382	26	5	into	into	ADP
ejpam-6382	26	6	the	the	DET
ejpam-6382	26	7	observations	observation	NOUN
ejpam-6382	26	8	since	since	SCONJ
ejpam-6382	26	9	some	some	DET
ejpam-6382	26	10	units	unit	NOUN
ejpam-6382	26	11	inherently	inherently	ADV
ejpam-6382	26	12	possess	possess	VERB
ejpam-6382	26	13	a	a	DET
ejpam-6382	26	14	higher	high	ADJ
ejpam-6382	26	15	likelihood	likelihood	NOUN
ejpam-6382	26	16	of	of	ADP
ejpam-6382	26	17	selection	selection	NOUN
ejpam-6382	26	18	than	than	ADP
ejpam-6382	26	19	others	other	NOUN
ejpam-6382	26	20	.	.	PUNCT
ejpam-6382	27	1	consequently	consequently	ADV
ejpam-6382	27	2	,	,	PUNCT
ejpam-6382	27	3	biased	biased	ADJ
ejpam-6382	27	4	data	datum	NOUN
ejpam-6382	27	5	are	be	AUX
ejpam-6382	27	6	a	a	DET
ejpam-6382	27	7	common	common	ADJ
ejpam-6382	27	8	occurrence	occurrence	NOUN
ejpam-6382	27	9	in	in	ADP
ejpam-6382	27	10	scientific	scientific	ADJ
ejpam-6382	27	11	investigations	investigation	NOUN
ejpam-6382	27	12	.	.	PUNCT
ejpam-6382	28	1	to	to	PART
ejpam-6382	28	2	mitigate	mitigate	VERB
ejpam-6382	28	3	this	this	DET
ejpam-6382	28	4	issue	issue	NOUN
ejpam-6382	28	5	,	,	PUNCT
ejpam-6382	28	6	sampling	sample	VERB
ejpam-6382	28	7	methods	method	NOUN
ejpam-6382	28	8	such	such	ADJ
ejpam-6382	28	9	as	as	ADP
ejpam-6382	28	10	probability	probability	NOUN
ejpam-6382	28	11	proportional	proportional	ADJ
ejpam-6382	28	12	to	to	ADP
ejpam-6382	28	13	size	size	NOUN
ejpam-6382	28	14	(	(	PUNCT
ejpam-6382	28	15	pps	pps	NOUN
ejpam-6382	28	16	)	)	PUNCT
ejpam-6382	28	17	have	have	AUX
ejpam-6382	28	18	been	be	AUX
ejpam-6382	28	19	developed	develop	VERB
ejpam-6382	28	20	.	.	PUNCT
ejpam-6382	29	1	pps	pps	NOUN
ejpam-6382	29	2	is	be	AUX
ejpam-6382	29	3	particularly	particularly	ADV
ejpam-6382	29	4	effective	effective	ADJ
ejpam-6382	29	5	in	in	ADP
ejpam-6382	29	6	constructing	construct	VERB
ejpam-6382	29	7	weighted	weight	VERB
ejpam-6382	29	8	distributions	distribution	NOUN
ejpam-6382	29	9	by	by	ADP
ejpam-6382	29	10	modifying	modify	VERB
ejpam-6382	29	11	the	the	DET
ejpam-6382	29	12	original	original	ADJ
ejpam-6382	29	13	probability	probability	NOUN
ejpam-6382	29	14	structure	structure	NOUN
ejpam-6382	29	15	based	base	VERB
ejpam-6382	29	16	on	on	ADP
ejpam-6382	29	17	the	the	DET
ejpam-6382	29	18	selection	selection	NOUN
ejpam-6382	29	19	mechanism	mechanism	NOUN
ejpam-6382	29	20	.	.	PUNCT
ejpam-6382	30	1	by	by	ADP
ejpam-6382	30	2	appropriately	appropriately	ADV
ejpam-6382	30	3	adjusting	adjust	VERB
ejpam-6382	30	4	the	the	DET
ejpam-6382	30	5	probability	probability	NOUN
ejpam-6382	30	6	function	function	NOUN
ejpam-6382	30	7	of	of	ADP
ejpam-6382	30	8	the	the	DET
ejpam-6382	30	9	variable	variable	NOUN
ejpam-6382	30	10	of	of	ADP
ejpam-6382	30	11	interest	interest	NOUN
ejpam-6382	30	12	,	,	PUNCT
ejpam-6382	30	13	pps	pps	NOUN
ejpam-6382	30	14	improves	improve	VERB
ejpam-6382	30	15	the	the	DET
ejpam-6382	30	16	efficiency	efficiency	NOUN
ejpam-6382	30	17	and	and	CCONJ
ejpam-6382	30	18	accuracy	accuracy	NOUN
ejpam-6382	30	19	of	of	ADP
ejpam-6382	30	20	statistical	statistical	ADJ
ejpam-6382	30	21	estimators	estimator	NOUN
ejpam-6382	30	22	.	.	PUNCT
ejpam-6382	31	1	when	when	SCONJ
ejpam-6382	31	2	dealing	deal	VERB
ejpam-6382	31	3	with	with	ADP
ejpam-6382	31	4	populations	population	NOUN
ejpam-6382	31	5	where	where	SCONJ
ejpam-6382	31	6	the	the	DET
ejpam-6382	31	7	likelihood	likelihood	NOUN
ejpam-6382	31	8	of	of	ADP
ejpam-6382	31	9	recording	record	VERB
ejpam-6382	31	10	specific	specific	ADJ
ejpam-6382	31	11	events	event	NOUN
ejpam-6382	31	12	varies	vary	VERB
ejpam-6382	31	13	,	,	PUNCT
ejpam-6382	31	14	it	it	PRON
ejpam-6382	31	15	becomes	become	VERB
ejpam-6382	31	16	necessary	necessary	ADJ
ejpam-6382	31	17	to	to	PART
ejpam-6382	31	18	model	model	VERB
ejpam-6382	31	19	this	this	DET
ejpam-6382	31	20	inequality	inequality	NOUN
ejpam-6382	31	21	using	use	VERB
ejpam-6382	31	22	a	a	DET
ejpam-6382	31	23	weight	weight	NOUN
ejpam-6382	31	24	function	function	NOUN
ejpam-6382	31	25	.	.	PUNCT
ejpam-6382	32	1	this	this	DET
ejpam-6382	32	2	function	function	NOUN
ejpam-6382	32	3	expresses	express	VERB
ejpam-6382	32	4	how	how	SCONJ
ejpam-6382	32	5	the	the	DET
ejpam-6382	32	6	frequency	frequency	NOUN
ejpam-6382	32	7	of	of	ADP
ejpam-6382	32	8	observed	observe	VERB
ejpam-6382	32	9	events	event	NOUN
ejpam-6382	32	10	deviates	deviate	VERB
ejpam-6382	32	11	from	from	ADP
ejpam-6382	32	12	their	their	PRON
ejpam-6382	32	13	actual	actual	ADJ
ejpam-6382	32	14	probability	probability	NOUN
ejpam-6382	32	15	.	.	PUNCT
ejpam-6382	33	1	fisher	fisher	PROPN
ejpam-6382	34	1	[	[	X
ejpam-6382	34	2	1	1	X
ejpam-6382	34	3	]	]	PUNCT
ejpam-6382	34	4	was	be	AUX
ejpam-6382	34	5	among	among	ADP
ejpam-6382	34	6	the	the	DET
ejpam-6382	34	7	pioneers	pioneer	NOUN
ejpam-6382	34	8	who	who	PRON
ejpam-6382	34	9	recognized	recognize	VERB
ejpam-6382	34	10	how	how	SCONJ
ejpam-6382	34	11	ascertainment	ascertainment	ADJ
ejpam-6382	34	12	procedures	procedure	NOUN
ejpam-6382	34	13	could	could	AUX
ejpam-6382	34	14	influence	influence	VERB
ejpam-6382	34	15	frequency	frequency	NOUN
ejpam-6382	34	16	estimation	estimation	NOUN
ejpam-6382	34	17	,	,	PUNCT
ejpam-6382	34	18	thereby	thereby	ADV
ejpam-6382	34	19	introducing	introduce	VERB
ejpam-6382	34	20	the	the	DET
ejpam-6382	34	21	concept	concept	NOUN
ejpam-6382	34	22	of	of	ADP
ejpam-6382	34	23	weighted	weight	VERB
ejpam-6382	34	24	probability	probability	NOUN
ejpam-6382	34	25	distributions	distribution	NOUN
ejpam-6382	34	26	.	.	PUNCT
ejpam-6382	35	1	this	this	DET
ejpam-6382	35	2	foundational	foundational	ADJ
ejpam-6382	35	3	work	work	NOUN
ejpam-6382	35	4	was	be	AUX
ejpam-6382	35	5	later	later	ADV
ejpam-6382	35	6	generalized	generalize	VERB
ejpam-6382	35	7	by	by	ADP
ejpam-6382	35	8	rao	rao	NOUN
ejpam-6382	35	9	[	[	X
ejpam-6382	35	10	2	2	NUM
ejpam-6382	35	11	]	]	PUNCT
ejpam-6382	35	12	,	,	PUNCT
ejpam-6382	35	13	laying	lay	VERB
ejpam-6382	35	14	the	the	DET
ejpam-6382	35	15	groundwork	groundwork	NOUN
ejpam-6382	35	16	for	for	ADP
ejpam-6382	35	17	the	the	DET
ejpam-6382	35	18	formal	formal	ADJ
ejpam-6382	35	19	development	development	NOUN
ejpam-6382	35	20	of	of	ADP
ejpam-6382	35	21	weighted	weighted	ADJ
ejpam-6382	35	22	distributions	distribution	NOUN
ejpam-6382	35	23	.	.	PUNCT
ejpam-6382	36	1	these	these	DET
ejpam-6382	36	2	distributions	distribution	NOUN
ejpam-6382	36	3	are	be	AUX
ejpam-6382	36	4	especially	especially	ADV
ejpam-6382	36	5	useful	useful	ADJ
ejpam-6382	36	6	when	when	SCONJ
ejpam-6382	36	7	classical	classical	ADJ
ejpam-6382	36	8	models	model	NOUN
ejpam-6382	36	9	fail	fail	VERB
ejpam-6382	36	10	to	to	PART
ejpam-6382	36	11	accommodate	accommodate	VERB
ejpam-6382	36	12	real	real	ADJ
ejpam-6382	36	13	-	-	PUNCT
ejpam-6382	36	14	world	world	NOUN
ejpam-6382	36	15	irregularities	irregularity	NOUN
ejpam-6382	36	16	,	,	PUNCT
ejpam-6382	36	17	such	such	ADJ
ejpam-6382	36	18	as	as	ADP
ejpam-6382	36	19	the	the	DET
ejpam-6382	36	20	non	non	NOUN
ejpam-6382	36	21	-	-	NOUN
ejpam-6382	36	22	observability	observability	NOUN
ejpam-6382	36	23	of	of	ADP
ejpam-6382	36	24	certain	certain	ADJ
ejpam-6382	36	25	outcomes	outcome	NOUN
ejpam-6382	36	26	,	,	PUNCT
ejpam-6382	36	27	data	datum	NOUN
ejpam-6382	36	28	degradation	degradation	NOUN
ejpam-6382	36	29	,	,	PUNCT
ejpam-6382	36	30	or	or	CCONJ
ejpam-6382	36	31	unequal	unequal	ADJ
ejpam-6382	36	32	selection	selection	NOUN
ejpam-6382	36	33	probabilities	probability	NOUN
ejpam-6382	36	34	inherent	inherent	ADJ
ejpam-6382	36	35	in	in	ADP
ejpam-6382	36	36	the	the	DET
ejpam-6382	36	37	sampling	sample	VERB
ejpam-6382	36	38	scheme	scheme	NOUN
ejpam-6382	36	39	.	.	PUNCT
ejpam-6382	37	1	a	a	DET
ejpam-6382	37	2	special	special	ADJ
ejpam-6382	37	3	case	case	NOUN
ejpam-6382	37	4	of	of	ADP
ejpam-6382	37	5	weighted	weight	VERB
ejpam-6382	37	6	distributions	distribution	NOUN
ejpam-6382	37	7	arises	arise	VERB
ejpam-6382	37	8	when	when	SCONJ
ejpam-6382	37	9	the	the	DET
ejpam-6382	37	10	probability	probability	NOUN
ejpam-6382	37	11	of	of	ADP
ejpam-6382	37	12	observing	observe	VERB
ejpam-6382	37	13	a	a	DET
ejpam-6382	37	14	non	non	ADJ
ejpam-6382	37	15	-	-	ADJ
ejpam-6382	37	16	negative	negative	ADJ
ejpam-6382	37	17	random	random	ADJ
ejpam-6382	37	18	variable	variable	NOUN
ejpam-6382	37	19	is	be	AUX
ejpam-6382	37	20	directly	directly	ADV
ejpam-6382	37	21	proportional	proportional	ADJ
ejpam-6382	37	22	to	to	ADP
ejpam-6382	37	23	its	its	PRON
ejpam-6382	37	24	magnitude	magnitude	NOUN
ejpam-6382	37	25	.	.	PUNCT
ejpam-6382	38	1	this	this	PRON
ejpam-6382	38	2	yields	yield	VERB
ejpam-6382	38	3	a	a	DET
ejpam-6382	38	4	class	class	NOUN
ejpam-6382	38	5	of	of	ADP
ejpam-6382	38	6	models	model	NOUN
ejpam-6382	38	7	known	know	VERB
ejpam-6382	38	8	as	as	ADP
ejpam-6382	38	9	length	length	NOUN
ejpam-6382	38	10	-	-	PUNCT
ejpam-6382	38	11	biased	bias	VERB
ejpam-6382	38	12	distributions	distribution	NOUN
ejpam-6382	38	13	,	,	PUNCT
ejpam-6382	38	14	first	first	ADV
ejpam-6382	38	15	introduced	introduce	VERB
ejpam-6382	38	16	by	by	ADP
ejpam-6382	38	17	cox	cox	PROPN
ejpam-6382	39	1	[	[	X
ejpam-6382	39	2	3	3	NUM
ejpam-6382	39	3	]	]	PUNCT
ejpam-6382	39	4	.	.	PUNCT
ejpam-6382	40	1	these	these	DET
ejpam-6382	40	2	distributions	distribution	NOUN
ejpam-6382	40	3	have	have	AUX
ejpam-6382	40	4	since	since	SCONJ
ejpam-6382	40	5	found	find	VERB
ejpam-6382	40	6	extensive	extensive	ADJ
ejpam-6382	40	7	applications	application	NOUN
ejpam-6382	40	8	across	across	ADP
ejpam-6382	40	9	various	various	ADJ
ejpam-6382	40	10	disciplines	discipline	NOUN
ejpam-6382	40	11	,	,	PUNCT
ejpam-6382	40	12	including	include	VERB
ejpam-6382	40	13	econometrics	econometric	NOUN
ejpam-6382	40	14	,	,	PUNCT
ejpam-6382	40	15	environmental	environmental	ADJ
ejpam-6382	40	16	science	science	NOUN
ejpam-6382	40	17	,	,	PUNCT
ejpam-6382	40	18	biomedical	biomedical	ADJ
ejpam-6382	40	19	research	research	NOUN
ejpam-6382	40	20	,	,	PUNCT
ejpam-6382	40	21	demography	demography	NOUN
ejpam-6382	40	22	,	,	PUNCT
ejpam-6382	40	23	and	and	CCONJ
ejpam-6382	40	24	forestry	forestry	NOUN
ejpam-6382	40	25	.	.	PUNCT
ejpam-6382	41	1	considerable	considerable	ADJ
ejpam-6382	41	2	research	research	NOUN
ejpam-6382	41	3	has	have	AUX
ejpam-6382	41	4	been	be	AUX
ejpam-6382	41	5	conducted	conduct	VERB
ejpam-6382	41	6	to	to	PART
ejpam-6382	41	7	derive	derive	VERB
ejpam-6382	41	8	length	length	NOUN
ejpam-6382	41	9	-	-	PUNCT
ejpam-6382	41	10	biased	bias	VERB
ejpam-6382	41	11	forms	form	NOUN
ejpam-6382	41	12	of	of	ADP
ejpam-6382	41	13	well	well	ADV
ejpam-6382	41	14	-	-	PUNCT
ejpam-6382	41	15	known	know	VERB
ejpam-6382	41	16	continuous	continuous	ADJ
ejpam-6382	41	17	distributions	distribution	NOUN
ejpam-6382	41	18	.	.	PUNCT
ejpam-6382	42	1	for	for	ADP
ejpam-6382	42	2	example	example	NOUN
ejpam-6382	42	3	,	,	PUNCT
ejpam-6382	42	4	patil	patil	PROPN
ejpam-6382	42	5	and	and	CCONJ
ejpam-6382	42	6	rao	rao	NOUN
ejpam-6382	42	7	[	[	X
ejpam-6382	42	8	4	4	NUM
ejpam-6382	42	9	]	]	PUNCT
ejpam-6382	42	10	developed	develop	VERB
ejpam-6382	42	11	length	length	NOUN
ejpam-6382	42	12	-	-	PUNCT
ejpam-6382	42	13	biased	bias	VERB
ejpam-6382	42	14	counterparts	counterpart	NOUN
ejpam-6382	42	15	of	of	ADP
ejpam-6382	42	16	log	log	NOUN
ejpam-6382	42	17	-	-	PUNCT
ejpam-6382	42	18	normal	normal	ADJ
ejpam-6382	42	19	,	,	PUNCT
ejpam-6382	42	20	gamma	gamma	NOUN
ejpam-6382	42	21	,	,	PUNCT
ejpam-6382	42	22	beta	beta	NOUN
ejpam-6382	42	23	,	,	PUNCT
ejpam-6382	42	24	and	and	CCONJ
ejpam-6382	42	25	pareto	pareto	ADJ
ejpam-6382	42	26	distributions	distribution	NOUN
ejpam-6382	42	27	.	.	PUNCT
ejpam-6382	43	1	gove	gove	VERB
ejpam-6382	44	1	[	[	X
ejpam-6382	44	2	5	5	NUM
ejpam-6382	44	3	]	]	PUNCT
ejpam-6382	44	4	reviewed	review	VERB
ejpam-6382	44	5	the	the	DET
ejpam-6382	44	6	practical	practical	ADJ
ejpam-6382	44	7	applications	application	NOUN
ejpam-6382	44	8	of	of	ADP
ejpam-6382	44	9	such	such	ADJ
ejpam-6382	44	10	models	model	NOUN
ejpam-6382	44	11	,	,	PUNCT
ejpam-6382	44	12	particularly	particularly	ADV
ejpam-6382	44	13	focusing	focus	VERB
ejpam-6382	44	14	d.	d.	PROPN
ejpam-6382	44	15	das	das	PROPN
ejpam-6382	44	16	et	et	PROPN
ejpam-6382	44	17	al	al	PROPN
ejpam-6382	44	18	.	.	PUNCT
ejpam-6382	44	19	/	/	SYM
ejpam-6382	44	20	eur	eur	PROPN
ejpam-6382	44	21	.	.	PUNCT
ejpam-6382	45	1	j.	j.	PROPN
ejpam-6382	45	2	pure	pure	PROPN
ejpam-6382	45	3	appl	appl	PROPN
ejpam-6382	45	4	.	.	PROPN
ejpam-6382	45	5	math	math	PROPN
ejpam-6382	45	6	,	,	PUNCT
ejpam-6382	45	7	18	18	NUM
ejpam-6382	45	8	(	(	PUNCT
ejpam-6382	45	9	3	3	NUM
ejpam-6382	45	10	)	)	PUNCT
ejpam-6382	45	11	(	(	PUNCT
ejpam-6382	45	12	2025	2025	NUM
ejpam-6382	45	13	)	)	PUNCT
ejpam-6382	45	14	,	,	PUNCT
ejpam-6382	45	15	6382	6382	NUM
ejpam-6382	45	16	3	3	NUM
ejpam-6382	45	17	of	of	ADP
ejpam-6382	45	18	29	29	NUM
ejpam-6382	45	19	on	on	ADP
ejpam-6382	45	20	the	the	DET
ejpam-6382	45	21	weibull	weibull	NOUN
ejpam-6382	45	22	distribution	distribution	NOUN
ejpam-6382	45	23	in	in	ADP
ejpam-6382	45	24	forestry	forestry	NOUN
ejpam-6382	45	25	.	.	PUNCT
ejpam-6382	46	1	subsequent	subsequent	ADJ
ejpam-6382	46	2	contributions	contribution	NOUN
ejpam-6382	46	3	include	include	VERB
ejpam-6382	46	4	length	length	NOUN
ejpam-6382	46	5	-	-	PUNCT
ejpam-6382	46	6	biased	bias	VERB
ejpam-6382	46	7	weibull	weibull	NOUN
ejpam-6382	46	8	by	by	ADP
ejpam-6382	46	9	pandya	pandya	PROPN
ejpam-6382	46	10	et	et	PROPN
ejpam-6382	46	11	al	al	PROPN
ejpam-6382	46	12	.	.	PUNCT
ejpam-6382	47	1	[	[	X
ejpam-6382	47	2	6	6	NUM
ejpam-6382	47	3	]	]	PUNCT
ejpam-6382	47	4	,	,	PUNCT
ejpam-6382	47	5	length	length	NOUN
ejpam-6382	47	6	-	-	PUNCT
ejpam-6382	47	7	biased	biased	ADJ
ejpam-6382	47	8	beta	beta	NOUN
ejpam-6382	47	9	by	by	ADP
ejpam-6382	47	10	mir	mir	PROPN
ejpam-6382	47	11	et	et	PROPN
ejpam-6382	47	12	al	al	PROPN
ejpam-6382	47	13	.	.	PUNCT
ejpam-6382	48	1	[	[	X
ejpam-6382	48	2	7	7	NUM
ejpam-6382	48	3	]	]	PUNCT
ejpam-6382	48	4	,	,	PUNCT
ejpam-6382	48	5	length	length	NOUN
ejpam-6382	48	6	-	-	PUNCT
ejpam-6382	48	7	biased	bias	VERB
ejpam-6382	48	8	exponentiated	exponentiate	VERB
ejpam-6382	48	9	inverted	invert	VERB
ejpam-6382	48	10	weibull	weibull	NOUN
ejpam-6382	48	11	by	by	ADP
ejpam-6382	48	12	seenoi	seenoi	PROPN
ejpam-6382	48	13	et	et	PROPN
ejpam-6382	48	14	al	al	PROPN
ejpam-6382	48	15	.	.	PUNCT
ejpam-6382	49	1	[	[	X
ejpam-6382	49	2	8	8	NUM
ejpam-6382	49	3	]	]	PUNCT
ejpam-6382	49	4	,	,	PUNCT
ejpam-6382	49	5	and	and	CCONJ
ejpam-6382	49	6	length	length	NOUN
ejpam-6382	49	7	-	-	PUNCT
ejpam-6382	49	8	biased	bias	VERB
ejpam-6382	49	9	weighted	weight	VERB
ejpam-6382	49	10	lomax	lomax	PROPN
ejpam-6382	49	11	by	by	ADP
ejpam-6382	49	12	ahmad	ahmad	PROPN
ejpam-6382	49	13	et	et	PROPN
ejpam-6382	49	14	al	al	PROPN
ejpam-6382	49	15	.	.	PUNCT
ejpam-6382	50	1	[	[	X
ejpam-6382	50	2	9	9	NUM
ejpam-6382	50	3	]	]	PUNCT
ejpam-6382	50	4	.	.	PUNCT
ejpam-6382	51	1	recently	recently	ADV
ejpam-6382	51	2	,	,	PUNCT
ejpam-6382	51	3	chaito	chaito	ADJ
ejpam-6382	51	4	and	and	CCONJ
ejpam-6382	51	5	khamkong	khamkong	NOUN
ejpam-6382	52	1	[	[	X
ejpam-6382	52	2	10	10	NUM
ejpam-6382	52	3	]	]	PUNCT
ejpam-6382	52	4	introduced	introduce	VERB
ejpam-6382	52	5	the	the	DET
ejpam-6382	52	6	length	length	NOUN
ejpam-6382	52	7	-	-	PUNCT
ejpam-6382	52	8	biased	bias	VERB
ejpam-6382	52	9	weibull	weibull	NOUN
ejpam-6382	52	10	–	–	PUNCT
ejpam-6382	52	11	rayleigh	rayleigh	NOUN
ejpam-6382	52	12	model	model	NOUN
ejpam-6382	52	13	for	for	ADP
ejpam-6382	52	14	hydrological	hydrological	ADJ
ejpam-6382	52	15	data	datum	NOUN
ejpam-6382	52	16	analysis	analysis	NOUN
ejpam-6382	52	17	.	.	PUNCT
ejpam-6382	53	1	despite	despite	SCONJ
ejpam-6382	53	2	the	the	DET
ejpam-6382	53	3	rich	rich	ADJ
ejpam-6382	53	4	body	body	NOUN
ejpam-6382	53	5	of	of	ADP
ejpam-6382	53	6	work	work	NOUN
ejpam-6382	53	7	on	on	ADP
ejpam-6382	53	8	continuous	continuous	ADJ
ejpam-6382	53	9	length	length	NOUN
ejpam-6382	53	10	-	-	PUNCT
ejpam-6382	53	11	biased	bias	VERB
ejpam-6382	53	12	distributions	distribution	NOUN
ejpam-6382	53	13	,	,	PUNCT
ejpam-6382	53	14	there	there	PRON
ejpam-6382	53	15	remains	remain	VERB
ejpam-6382	53	16	a	a	DET
ejpam-6382	53	17	scarcity	scarcity	NOUN
ejpam-6382	53	18	of	of	ADP
ejpam-6382	53	19	research	research	NOUN
ejpam-6382	53	20	concerning	concern	VERB
ejpam-6382	53	21	their	their	PRON
ejpam-6382	53	22	discrete	discrete	ADJ
ejpam-6382	53	23	counterparts	counterpart	NOUN
ejpam-6382	53	24	.	.	PUNCT
ejpam-6382	54	1	as	as	SCONJ
ejpam-6382	54	2	patil	patil	PROPN
ejpam-6382	54	3	and	and	CCONJ
ejpam-6382	54	4	rao	rao	NOUN
ejpam-6382	54	5	[	[	X
ejpam-6382	54	6	11	11	NUM
ejpam-6382	54	7	]	]	PUNCT
ejpam-6382	54	8	observed	observe	VERB
ejpam-6382	54	9	,	,	PUNCT
ejpam-6382	54	10	“	"	PUNCT
ejpam-6382	54	11	although	although	SCONJ
ejpam-6382	54	12	situations	situation	NOUN
ejpam-6382	54	13	involving	involve	VERB
ejpam-6382	54	14	weighted	weight	VERB
ejpam-6382	54	15	distributions	distribution	NOUN
ejpam-6382	54	16	seem	seem	VERB
ejpam-6382	54	17	to	to	PART
ejpam-6382	54	18	occur	occur	VERB
ejpam-6382	54	19	frequently	frequently	ADV
ejpam-6382	54	20	in	in	ADP
ejpam-6382	54	21	various	various	ADJ
ejpam-6382	54	22	fields	field	NOUN
ejpam-6382	54	23	,	,	PUNCT
ejpam-6382	54	24	the	the	DET
ejpam-6382	54	25	underlying	underlie	VERB
ejpam-6382	54	26	concept	concept	NOUN
ejpam-6382	54	27	of	of	ADP
ejpam-6382	54	28	weighted	weighted	ADJ
ejpam-6382	54	29	distributions	distribution	NOUN
ejpam-6382	54	30	as	as	ADP
ejpam-6382	54	31	a	a	DET
ejpam-6382	54	32	major	major	ADJ
ejpam-6382	54	33	stochastic	stochastic	ADJ
ejpam-6382	54	34	concept	concept	NOUN
ejpam-6382	54	35	does	do	AUX
ejpam-6382	54	36	not	not	PART
ejpam-6382	54	37	seem	seem	VERB
ejpam-6382	54	38	to	to	PART
ejpam-6382	54	39	have	have	AUX
ejpam-6382	54	40	been	be	AUX
ejpam-6382	54	41	widely	widely	ADV
ejpam-6382	54	42	recognized	recognize	VERB
ejpam-6382	54	43	.	.	PUNCT
ejpam-6382	54	44	”	"	PUNCT
ejpam-6382	55	1	this	this	DET
ejpam-6382	55	2	statement	statement	NOUN
ejpam-6382	55	3	remains	remain	VERB
ejpam-6382	55	4	valid	valid	ADJ
ejpam-6382	55	5	today	today	NOUN
ejpam-6382	55	6	.	.	PUNCT
ejpam-6382	56	1	although	although	SCONJ
ejpam-6382	56	2	numerous	numerous	ADJ
ejpam-6382	56	3	continuous	continuous	ADJ
ejpam-6382	56	4	weighted	weight	VERB
ejpam-6382	56	5	models	model	NOUN
ejpam-6382	56	6	have	have	AUX
ejpam-6382	56	7	been	be	AUX
ejpam-6382	56	8	extensively	extensively	ADV
ejpam-6382	56	9	studied	study	VERB
ejpam-6382	56	10	,	,	PUNCT
ejpam-6382	56	11	relatively	relatively	ADV
ejpam-6382	56	12	little	little	ADJ
ejpam-6382	56	13	attention	attention	NOUN
ejpam-6382	56	14	has	have	AUX
ejpam-6382	56	15	been	be	AUX
ejpam-6382	56	16	paid	pay	VERB
ejpam-6382	56	17	to	to	PART
ejpam-6382	56	18	discrete	discrete	VERB
ejpam-6382	56	19	models	model	NOUN
ejpam-6382	56	20	,	,	PUNCT
ejpam-6382	56	21	indicating	indicate	VERB
ejpam-6382	56	22	an	an	DET
ejpam-6382	56	23	unexplored	unexplored	ADJ
ejpam-6382	56	24	avenue	avenue	NOUN
ejpam-6382	56	25	with	with	ADP
ejpam-6382	56	26	substantial	substantial	ADJ
ejpam-6382	56	27	potential	potential	NOUN
ejpam-6382	56	28	for	for	ADP
ejpam-6382	56	29	research	research	NOUN
ejpam-6382	56	30	and	and	CCONJ
ejpam-6382	56	31	application	application	NOUN
ejpam-6382	56	32	.	.	PUNCT
ejpam-6382	57	1	motivated	motivate	VERB
ejpam-6382	57	2	by	by	ADP
ejpam-6382	57	3	these	these	DET
ejpam-6382	57	4	observations	observation	NOUN
ejpam-6382	57	5	,	,	PUNCT
ejpam-6382	57	6	the	the	DET
ejpam-6382	57	7	present	present	ADJ
ejpam-6382	57	8	study	study	NOUN
ejpam-6382	57	9	introduces	introduce	VERB
ejpam-6382	57	10	a	a	DET
ejpam-6382	57	11	novel	novel	ADJ
ejpam-6382	57	12	length	length	NOUN
ejpam-6382	57	13	-	-	PUNCT
ejpam-6382	57	14	biased	bias	VERB
ejpam-6382	57	15	distribution	distribution	NOUN
ejpam-6382	57	16	tailored	tailor	VERB
ejpam-6382	57	17	specifically	specifically	ADV
ejpam-6382	57	18	for	for	ADP
ejpam-6382	57	19	discrete	discrete	ADJ
ejpam-6382	57	20	datasets	dataset	NOUN
ejpam-6382	57	21	.	.	PUNCT
ejpam-6382	58	1	this	this	DET
ejpam-6382	58	2	model	model	NOUN
ejpam-6382	58	3	is	be	AUX
ejpam-6382	58	4	derived	derive	VERB
ejpam-6382	58	5	from	from	ADP
ejpam-6382	58	6	the	the	DET
ejpam-6382	58	7	recently	recently	ADV
ejpam-6382	58	8	proposed	propose	VERB
ejpam-6382	58	9	discretized	discretized	ADJ
ejpam-6382	58	10	fréchet	fréchet	NOUN
ejpam-6382	58	11	-	-	PUNCT
ejpam-6382	58	12	weibull	weibull	NOUN
ejpam-6382	58	13	distribution	distribution	NOUN
ejpam-6382	58	14	by	by	ADP
ejpam-6382	58	15	das	das	PROPN
ejpam-6382	58	16	and	and	CCONJ
ejpam-6382	58	17	das	das	PROPN
ejpam-6382	58	18	[	[	X
ejpam-6382	58	19	12	12	NUM
ejpam-6382	58	20	]	]	PUNCT
ejpam-6382	58	21	,	,	PUNCT
ejpam-6382	58	22	and	and	CCONJ
ejpam-6382	58	23	is	be	AUX
ejpam-6382	58	24	henceforth	henceforth	ADV
ejpam-6382	58	25	referred	refer	VERB
ejpam-6382	58	26	to	to	ADP
ejpam-6382	58	27	as	as	ADP
ejpam-6382	58	28	the	the	DET
ejpam-6382	58	29	length	length	NOUN
ejpam-6382	58	30	-	-	PUNCT
ejpam-6382	58	31	biased	bias	VERB
ejpam-6382	58	32	discretized	discretized	ADJ
ejpam-6382	58	33	fréchet	fréchet	NOUN
ejpam-6382	58	34	-	-	PUNCT
ejpam-6382	58	35	weibull	weibull	NOUN
ejpam-6382	58	36	(	(	PUNCT
ejpam-6382	58	37	lbdfw	lbdfw	ADJ
ejpam-6382	58	38	)	)	PUNCT
ejpam-6382	58	39	distribution	distribution	NOUN
ejpam-6382	58	40	.	.	PUNCT
ejpam-6382	59	1	weighted	weight	VERB
ejpam-6382	59	2	or	or	CCONJ
ejpam-6382	59	3	length	length	NOUN
ejpam-6382	59	4	-	-	PUNCT
ejpam-6382	59	5	biased	bias	VERB
ejpam-6382	59	6	distributions	distribution	NOUN
ejpam-6382	59	7	offer	offer	VERB
ejpam-6382	59	8	a	a	DET
ejpam-6382	59	9	systematic	systematic	ADJ
ejpam-6382	59	10	method	method	NOUN
ejpam-6382	59	11	to	to	PART
ejpam-6382	59	12	adjust	adjust	VERB
ejpam-6382	59	13	the	the	DET
ejpam-6382	59	14	sampling	sample	VERB
ejpam-6382	59	15	bias	bias	NOUN
ejpam-6382	59	16	associated	associate	VERB
ejpam-6382	59	17	with	with	ADP
ejpam-6382	59	18	unascertained	unascertained	ADJ
ejpam-6382	59	19	events	event	NOUN
ejpam-6382	59	20	.	.	PUNCT
ejpam-6382	60	1	they	they	PRON
ejpam-6382	60	2	refine	refine	VERB
ejpam-6382	60	3	the	the	DET
ejpam-6382	60	4	observed	observe	VERB
ejpam-6382	60	5	data	datum	NOUN
ejpam-6382	60	6	,	,	PUNCT
ejpam-6382	60	7	resulting	result	VERB
ejpam-6382	60	8	in	in	ADP
ejpam-6382	60	9	more	more	ADV
ejpam-6382	60	10	reliable	reliable	ADJ
ejpam-6382	60	11	statistical	statistical	ADJ
ejpam-6382	60	12	inference	inference	NOUN
ejpam-6382	60	13	.	.	PUNCT
ejpam-6382	61	1	in	in	ADP
ejpam-6382	61	2	parallel	parallel	ADJ
ejpam-6382	61	3	,	,	PUNCT
ejpam-6382	61	4	generalized	generalize	VERB
ejpam-6382	61	5	distributions	distribution	NOUN
ejpam-6382	61	6	offer	offer	VERB
ejpam-6382	61	7	improved	improve	VERB
ejpam-6382	61	8	flexibility	flexibility	NOUN
ejpam-6382	61	9	and	and	CCONJ
ejpam-6382	61	10	better	well	ADJ
ejpam-6382	61	11	adaptability	adaptability	NOUN
ejpam-6382	61	12	to	to	PART
ejpam-6382	61	13	diverse	diverse	VERB
ejpam-6382	61	14	datasets	dataset	NOUN
ejpam-6382	61	15	compared	compare	VERB
ejpam-6382	61	16	to	to	ADP
ejpam-6382	61	17	their	their	PRON
ejpam-6382	61	18	baseline	baseline	NOUN
ejpam-6382	61	19	forms	form	NOUN
ejpam-6382	61	20	.	.	PUNCT
ejpam-6382	62	1	the	the	DET
ejpam-6382	62	2	proposed	propose	VERB
ejpam-6382	62	3	lbdfw	lbdfw	NOUN
ejpam-6382	62	4	distribution	distribution	NOUN
ejpam-6382	62	5	,	,	PUNCT
ejpam-6382	62	6	being	be	AUX
ejpam-6382	62	7	a	a	DET
ejpam-6382	62	8	length	length	NOUN
ejpam-6382	62	9	-	-	PUNCT
ejpam-6382	62	10	biased	bias	VERB
ejpam-6382	62	11	generalization	generalization	NOUN
ejpam-6382	62	12	,	,	PUNCT
ejpam-6382	62	13	is	be	AUX
ejpam-6382	62	14	capable	capable	ADJ
ejpam-6382	62	15	of	of	ADP
ejpam-6382	62	16	modeling	model	VERB
ejpam-6382	62	17	data	datum	NOUN
ejpam-6382	62	18	sets	set	NOUN
ejpam-6382	62	19	with	with	ADP
ejpam-6382	62	20	both	both	DET
ejpam-6382	62	21	overdispersion	overdispersion	NOUN
ejpam-6382	62	22	and	and	CCONJ
ejpam-6382	62	23	underdispersion	underdispersion	NOUN
ejpam-6382	62	24	efficiently	efficiently	ADV
ejpam-6382	62	25	.	.	PUNCT
ejpam-6382	63	1	furthermore	furthermore	ADV
ejpam-6382	63	2	,	,	PUNCT
ejpam-6382	63	3	the	the	DET
ejpam-6382	63	4	lack	lack	NOUN
ejpam-6382	63	5	of	of	ADP
ejpam-6382	63	6	existing	exist	VERB
ejpam-6382	63	7	discrete	discrete	ADJ
ejpam-6382	63	8	length	length	NOUN
ejpam-6382	63	9	-	-	PUNCT
ejpam-6382	63	10	biased	bias	VERB
ejpam-6382	63	11	models	model	NOUN
ejpam-6382	63	12	makes	make	VERB
ejpam-6382	63	13	this	this	DET
ejpam-6382	63	14	contribution	contribution	NOUN
ejpam-6382	63	15	a	a	DET
ejpam-6382	63	16	valuable	valuable	ADJ
ejpam-6382	63	17	addition	addition	NOUN
ejpam-6382	63	18	to	to	ADP
ejpam-6382	63	19	the	the	DET
ejpam-6382	63	20	statistical	statistical	ADJ
ejpam-6382	63	21	modeling	modeling	NOUN
ejpam-6382	63	22	literature	literature	NOUN
ejpam-6382	63	23	.	.	PUNCT
ejpam-6382	64	1	while	while	SCONJ
ejpam-6382	64	2	the	the	DET
ejpam-6382	64	3	length	length	NOUN
ejpam-6382	64	4	-	-	PUNCT
ejpam-6382	64	5	biased	bias	VERB
ejpam-6382	64	6	approach	approach	NOUN
ejpam-6382	64	7	has	have	AUX
ejpam-6382	64	8	been	be	AUX
ejpam-6382	64	9	successfully	successfully	ADV
ejpam-6382	64	10	employed	employ	VERB
ejpam-6382	64	11	in	in	ADP
ejpam-6382	64	12	developing	develop	VERB
ejpam-6382	64	13	discrete	discrete	ADJ
ejpam-6382	64	14	probability	probability	NOUN
ejpam-6382	64	15	models	model	NOUN
ejpam-6382	64	16	,	,	PUNCT
ejpam-6382	64	17	many	many	ADJ
ejpam-6382	64	18	of	of	ADP
ejpam-6382	64	19	the	the	DET
ejpam-6382	64	20	existing	exist	VERB
ejpam-6382	64	21	models	model	NOUN
ejpam-6382	64	22	exhibit	exhibit	VERB
ejpam-6382	64	23	limited	limited	ADJ
ejpam-6382	64	24	adaptability	adaptability	NOUN
ejpam-6382	64	25	to	to	ADP
ejpam-6382	64	26	complex	complex	ADJ
ejpam-6382	64	27	data	datum	NOUN
ejpam-6382	64	28	features	feature	NOUN
ejpam-6382	64	29	,	,	PUNCT
ejpam-6382	64	30	particularly	particularly	ADV
ejpam-6382	64	31	when	when	SCONJ
ejpam-6382	64	32	applied	apply	VERB
ejpam-6382	64	33	to	to	ADP
ejpam-6382	64	34	real	real	ADJ
ejpam-6382	64	35	-	-	PUNCT
ejpam-6382	64	36	world	world	NOUN
ejpam-6382	64	37	datasets	dataset	NOUN
ejpam-6382	64	38	characterized	characterize	VERB
ejpam-6382	64	39	by	by	ADP
ejpam-6382	64	40	irregular	irregular	ADJ
ejpam-6382	64	41	dispersion	dispersion	NOUN
ejpam-6382	64	42	patterns	pattern	NOUN
ejpam-6382	64	43	,	,	PUNCT
ejpam-6382	64	44	asymmetry	asymmetry	NOUN
ejpam-6382	64	45	,	,	PUNCT
ejpam-6382	64	46	and	and	CCONJ
ejpam-6382	64	47	excess	excess	ADJ
ejpam-6382	64	48	zeros	zero	NOUN
ejpam-6382	64	49	.	.	PUNCT
ejpam-6382	65	1	traditional	traditional	ADJ
ejpam-6382	65	2	length	length	NOUN
ejpam-6382	65	3	-	-	PUNCT
ejpam-6382	65	4	biased	bias	VERB
ejpam-6382	65	5	discrete	discrete	ADJ
ejpam-6382	65	6	models	model	NOUN
ejpam-6382	65	7	often	often	ADV
ejpam-6382	65	8	lack	lack	VERB
ejpam-6382	65	9	the	the	DET
ejpam-6382	65	10	structural	structural	ADJ
ejpam-6382	65	11	flexibility	flexibility	NOUN
ejpam-6382	65	12	to	to	PART
ejpam-6382	65	13	simultaneously	simultaneously	ADV
ejpam-6382	65	14	accommodate	accommodate	VERB
ejpam-6382	65	15	both	both	DET
ejpam-6382	65	16	overdispersion	overdispersion	NOUN
ejpam-6382	65	17	and	and	CCONJ
ejpam-6382	65	18	underdispersion	underdispersion	NOUN
ejpam-6382	65	19	,	,	PUNCT
ejpam-6382	65	20	which	which	PRON
ejpam-6382	65	21	are	be	AUX
ejpam-6382	65	22	common	common	ADJ
ejpam-6382	65	23	in	in	ADP
ejpam-6382	65	24	count	count	NOUN
ejpam-6382	65	25	data	datum	NOUN
ejpam-6382	65	26	arising	arise	VERB
ejpam-6382	65	27	in	in	ADP
ejpam-6382	65	28	fields	field	NOUN
ejpam-6382	65	29	such	such	ADJ
ejpam-6382	65	30	as	as	ADP
ejpam-6382	65	31	epidemiology	epidemiology	NOUN
ejpam-6382	65	32	,	,	PUNCT
ejpam-6382	65	33	insurance	insurance	NOUN
ejpam-6382	65	34	,	,	PUNCT
ejpam-6382	65	35	reliability	reliability	NOUN
ejpam-6382	65	36	engineering	engineering	NOUN
ejpam-6382	65	37	,	,	PUNCT
ejpam-6382	65	38	and	and	CCONJ
ejpam-6382	65	39	social	social	ADJ
ejpam-6382	65	40	sciences	science	NOUN
ejpam-6382	65	41	.	.	PUNCT
ejpam-6382	66	1	a	a	DET
ejpam-6382	66	2	significant	significant	ADJ
ejpam-6382	66	3	limitation	limitation	NOUN
ejpam-6382	66	4	observed	observe	VERB
ejpam-6382	66	5	in	in	ADP
ejpam-6382	66	6	previous	previous	ADJ
ejpam-6382	66	7	length	length	NOUN
ejpam-6382	66	8	-	-	PUNCT
ejpam-6382	66	9	biased	bias	VERB
ejpam-6382	66	10	discrete	discrete	ADJ
ejpam-6382	66	11	models	model	NOUN
ejpam-6382	66	12	lies	lie	VERB
ejpam-6382	66	13	in	in	ADP
ejpam-6382	66	14	their	their	PRON
ejpam-6382	66	15	inability	inability	NOUN
ejpam-6382	66	16	to	to	PART
ejpam-6382	66	17	represent	represent	VERB
ejpam-6382	66	18	a	a	DET
ejpam-6382	66	19	wide	wide	ADJ
ejpam-6382	66	20	variety	variety	NOUN
ejpam-6382	66	21	of	of	ADP
ejpam-6382	66	22	hazard	hazard	NOUN
ejpam-6382	66	23	rate	rate	NOUN
ejpam-6382	66	24	shapes	shape	NOUN
ejpam-6382	66	25	.	.	PUNCT
ejpam-6382	67	1	most	most	ADJ
ejpam-6382	67	2	such	such	ADJ
ejpam-6382	67	3	models	model	NOUN
ejpam-6382	67	4	are	be	AUX
ejpam-6382	67	5	constrained	constrain	VERB
ejpam-6382	67	6	to	to	PART
ejpam-6382	67	7	monotonic	monotonic	VERB
ejpam-6382	67	8	hazard	hazard	NOUN
ejpam-6382	67	9	functions	function	NOUN
ejpam-6382	67	10	(	(	PUNCT
ejpam-6382	67	11	increasing	increase	VERB
ejpam-6382	67	12	or	or	CCONJ
ejpam-6382	67	13	decreasing	decrease	VERB
ejpam-6382	67	14	)	)	PUNCT
ejpam-6382	67	15	,	,	PUNCT
ejpam-6382	67	16	which	which	PRON
ejpam-6382	67	17	severely	severely	ADV
ejpam-6382	67	18	restricts	restrict	VERB
ejpam-6382	67	19	their	their	PRON
ejpam-6382	67	20	application	application	NOUN
ejpam-6382	67	21	in	in	ADP
ejpam-6382	67	22	domains	domain	NOUN
ejpam-6382	67	23	requiring	require	VERB
ejpam-6382	67	24	more	more	ADJ
ejpam-6382	67	25	complex	complex	ADJ
ejpam-6382	67	26	hazard	hazard	NOUN
ejpam-6382	67	27	behaviors	behavior	NOUN
ejpam-6382	67	28	such	such	ADJ
ejpam-6382	67	29	as	as	ADP
ejpam-6382	67	30	bathtub	bathtub	NOUN
ejpam-6382	67	31	-	-	PUNCT
ejpam-6382	67	32	shaped	shape	VERB
ejpam-6382	67	33	or	or	CCONJ
ejpam-6382	67	34	unimodal	unimodal	ADJ
ejpam-6382	67	35	failure	failure	NOUN
ejpam-6382	67	36	rates	rate	NOUN
ejpam-6382	67	37	.	.	PUNCT
ejpam-6382	68	1	this	this	DET
ejpam-6382	68	2	inflexibility	inflexibility	NOUN
ejpam-6382	68	3	often	often	ADV
ejpam-6382	68	4	leads	lead	VERB
ejpam-6382	68	5	to	to	ADP
ejpam-6382	68	6	poor	poor	ADJ
ejpam-6382	68	7	model	model	NOUN
ejpam-6382	68	8	fit	fit	ADJ
ejpam-6382	68	9	and	and	CCONJ
ejpam-6382	68	10	suboptimal	suboptimal	ADJ
ejpam-6382	68	11	predictive	predictive	ADJ
ejpam-6382	68	12	performance	performance	NOUN
ejpam-6382	68	13	in	in	ADP
ejpam-6382	68	14	practical	practical	ADJ
ejpam-6382	68	15	scenarios	scenario	NOUN
ejpam-6382	68	16	.	.	PUNCT
ejpam-6382	69	1	additionally	additionally	ADV
ejpam-6382	69	2	,	,	PUNCT
ejpam-6382	69	3	many	many	ADJ
ejpam-6382	69	4	earlier	early	ADJ
ejpam-6382	69	5	models	model	NOUN
ejpam-6382	69	6	constructed	construct	VERB
ejpam-6382	69	7	via	via	ADP
ejpam-6382	69	8	the	the	DET
ejpam-6382	69	9	length	length	NOUN
ejpam-6382	69	10	-	-	PUNCT
ejpam-6382	69	11	biased	bias	VERB
ejpam-6382	69	12	mechanism	mechanism	NOUN
ejpam-6382	69	13	are	be	AUX
ejpam-6382	69	14	derived	derive	VERB
ejpam-6382	69	15	from	from	ADP
ejpam-6382	69	16	standard	standard	ADJ
ejpam-6382	69	17	or	or	CCONJ
ejpam-6382	69	18	classical	classical	ADJ
ejpam-6382	69	19	distributions	distribution	NOUN
ejpam-6382	69	20	,	,	PUNCT
ejpam-6382	69	21	which	which	PRON
ejpam-6382	69	22	may	may	AUX
ejpam-6382	69	23	not	not	PART
ejpam-6382	69	24	inherently	inherently	ADV
ejpam-6382	69	25	possess	possess	VERB
ejpam-6382	69	26	sufficient	sufficient	ADJ
ejpam-6382	69	27	shape	shape	NOUN
ejpam-6382	69	28	parameters	parameter	NOUN
ejpam-6382	69	29	to	to	PART
ejpam-6382	69	30	regulate	regulate	VERB
ejpam-6382	69	31	skewness	skewness	NOUN
ejpam-6382	69	32	and	and	CCONJ
ejpam-6382	69	33	tail	tail	NOUN
ejpam-6382	69	34	behavior	behavior	NOUN
ejpam-6382	69	35	effectively	effectively	ADV
ejpam-6382	69	36	.	.	PUNCT
ejpam-6382	70	1	as	as	ADP
ejpam-6382	70	2	a	a	DET
ejpam-6382	70	3	result	result	NOUN
ejpam-6382	70	4	,	,	PUNCT
ejpam-6382	70	5	these	these	DET
ejpam-6382	70	6	models	model	NOUN
ejpam-6382	70	7	struggle	struggle	VERB
ejpam-6382	70	8	to	to	PART
ejpam-6382	70	9	capture	capture	VERB
ejpam-6382	70	10	asymmetric	asymmetric	ADJ
ejpam-6382	70	11	distributions	distribution	NOUN
ejpam-6382	70	12	or	or	CCONJ
ejpam-6382	70	13	data	datum	NOUN
ejpam-6382	70	14	exhibiting	exhibit	VERB
ejpam-6382	70	15	leptokurtic	leptokurtic	ADJ
ejpam-6382	70	16	or	or	CCONJ
ejpam-6382	70	17	platykurtic	platykurtic	ADJ
ejpam-6382	70	18	tendencies	tendency	NOUN
ejpam-6382	70	19	,	,	PUNCT
ejpam-6382	70	20	thereby	thereby	ADV
ejpam-6382	70	21	limiting	limit	VERB
ejpam-6382	70	22	their	their	PRON
ejpam-6382	70	23	capacity	capacity	NOUN
ejpam-6382	70	24	to	to	PART
ejpam-6382	70	25	reflect	reflect	VERB
ejpam-6382	70	26	real	real	ADJ
ejpam-6382	70	27	-	-	PUNCT
ejpam-6382	70	28	world	world	NOUN
ejpam-6382	70	29	heterogeneity	heterogeneity	NOUN
ejpam-6382	70	30	.	.	PUNCT
ejpam-6382	71	1	furthermore	furthermore	ADV
ejpam-6382	71	2	,	,	PUNCT
ejpam-6382	71	3	parameter	parameter	NOUN
ejpam-6382	71	4	identifiability	identifiability	NOUN
ejpam-6382	71	5	and	and	CCONJ
ejpam-6382	71	6	computational	computational	ADJ
ejpam-6382	71	7	chald	chald	NOUN
ejpam-6382	71	8	.	.	PUNCT
ejpam-6382	72	1	das	das	PROPN
ejpam-6382	72	2	et	et	PROPN
ejpam-6382	72	3	al	al	PROPN
ejpam-6382	72	4	.	.	PUNCT
ejpam-6382	72	5	/	/	SYM
ejpam-6382	72	6	eur	eur	PROPN
ejpam-6382	72	7	.	.	PUNCT
ejpam-6382	73	1	j.	j.	PROPN
ejpam-6382	73	2	pure	pure	PROPN
ejpam-6382	73	3	appl	appl	PROPN
ejpam-6382	73	4	.	.	PROPN
ejpam-6382	73	5	math	math	PROPN
ejpam-6382	73	6	,	,	PUNCT
ejpam-6382	73	7	18	18	NUM
ejpam-6382	73	8	(	(	PUNCT
ejpam-6382	73	9	3	3	NUM
ejpam-6382	73	10	)	)	PUNCT
ejpam-6382	73	11	(	(	PUNCT
ejpam-6382	73	12	2025	2025	NUM
ejpam-6382	73	13	)	)	PUNCT
ejpam-6382	73	14	,	,	PUNCT
ejpam-6382	73	15	6382	6382	NUM
ejpam-6382	73	16	4	4	NUM
ejpam-6382	73	17	of	of	ADP
ejpam-6382	73	18	29	29	NUM
ejpam-6382	73	19	lenges	lenge	NOUN
ejpam-6382	73	20	often	often	ADV
ejpam-6382	73	21	arise	arise	VERB
ejpam-6382	73	22	in	in	ADP
ejpam-6382	73	23	these	these	DET
ejpam-6382	73	24	models	model	NOUN
ejpam-6382	73	25	,	,	PUNCT
ejpam-6382	73	26	especially	especially	ADV
ejpam-6382	73	27	when	when	SCONJ
ejpam-6382	73	28	the	the	DET
ejpam-6382	73	29	weighting	weighting	NOUN
ejpam-6382	73	30	scheme	scheme	NOUN
ejpam-6382	73	31	is	be	AUX
ejpam-6382	73	32	imposed	impose	VERB
ejpam-6382	73	33	without	without	ADP
ejpam-6382	73	34	adequate	adequate	ADJ
ejpam-6382	73	35	theoretical	theoretical	ADJ
ejpam-6382	73	36	support	support	NOUN
ejpam-6382	73	37	or	or	CCONJ
ejpam-6382	73	38	empirical	empirical	ADJ
ejpam-6382	73	39	justification	justification	NOUN
ejpam-6382	73	40	.	.	PUNCT
ejpam-6382	74	1	in	in	ADP
ejpam-6382	74	2	such	such	ADJ
ejpam-6382	74	3	cases	case	NOUN
ejpam-6382	74	4	,	,	PUNCT
ejpam-6382	74	5	the	the	DET
ejpam-6382	74	6	length	length	NOUN
ejpam-6382	74	7	-	-	PUNCT
ejpam-6382	74	8	biased	bias	VERB
ejpam-6382	74	9	transformation	transformation	NOUN
ejpam-6382	74	10	may	may	AUX
ejpam-6382	74	11	amplify	amplify	VERB
ejpam-6382	74	12	noise	noise	NOUN
ejpam-6382	74	13	or	or	CCONJ
ejpam-6382	74	14	measurement	measurement	NOUN
ejpam-6382	74	15	error	error	NOUN
ejpam-6382	74	16	in	in	ADP
ejpam-6382	74	17	the	the	DET
ejpam-6382	74	18	data	datum	NOUN
ejpam-6382	74	19	,	,	PUNCT
ejpam-6382	74	20	leading	lead	VERB
ejpam-6382	74	21	to	to	ADP
ejpam-6382	74	22	biased	biased	ADJ
ejpam-6382	74	23	inference	inference	NOUN
ejpam-6382	74	24	.	.	PUNCT
ejpam-6382	75	1	in	in	ADP
ejpam-6382	75	2	light	light	NOUN
ejpam-6382	75	3	of	of	ADP
ejpam-6382	75	4	these	these	DET
ejpam-6382	75	5	limitations	limitation	NOUN
ejpam-6382	75	6	,	,	PUNCT
ejpam-6382	75	7	the	the	DET
ejpam-6382	75	8	ldfw	ldfw	NOUN
ejpam-6382	75	9	distribution	distribution	NOUN
ejpam-6382	75	10	is	be	AUX
ejpam-6382	75	11	proposed	propose	VERB
ejpam-6382	75	12	as	as	ADP
ejpam-6382	75	13	a	a	DET
ejpam-6382	75	14	comprehensive	comprehensive	ADJ
ejpam-6382	75	15	and	and	CCONJ
ejpam-6382	75	16	flexible	flexible	ADJ
ejpam-6382	75	17	alternative	alternative	NOUN
ejpam-6382	75	18	.	.	PUNCT
ejpam-6382	76	1	by	by	ADP
ejpam-6382	76	2	extending	extend	VERB
ejpam-6382	76	3	a	a	DET
ejpam-6382	76	4	generalized	generalized	ADJ
ejpam-6382	76	5	parent	parent	NOUN
ejpam-6382	76	6	model	model	NOUN
ejpam-6382	76	7	the	the	DET
ejpam-6382	76	8	discretized	discretized	ADJ
ejpam-6382	76	9	fréchet	fréchet	NOUN
ejpam-6382	76	10	-	-	PUNCT
ejpam-6382	76	11	weibull	weibull	NOUN
ejpam-6382	76	12	distribution	distribution	NOUN
ejpam-6382	76	13	through	through	ADP
ejpam-6382	76	14	a	a	DET
ejpam-6382	76	15	length	length	NOUN
ejpam-6382	76	16	-	-	PUNCT
ejpam-6382	76	17	biased	bias	VERB
ejpam-6382	76	18	transformation	transformation	NOUN
ejpam-6382	76	19	,	,	PUNCT
ejpam-6382	76	20	the	the	DET
ejpam-6382	76	21	lbdfw	lbdfw	ADJ
ejpam-6382	76	22	model	model	NOUN
ejpam-6382	76	23	overcomes	overcome	VERB
ejpam-6382	76	24	the	the	DET
ejpam-6382	76	25	rigidity	rigidity	NOUN
ejpam-6382	76	26	of	of	ADP
ejpam-6382	76	27	previous	previous	ADJ
ejpam-6382	76	28	formulations	formulation	NOUN
ejpam-6382	76	29	.	.	PUNCT
ejpam-6382	77	1	it	it	PRON
ejpam-6382	77	2	accommodates	accommodate	VERB
ejpam-6382	77	3	diverse	diverse	ADJ
ejpam-6382	77	4	dispersion	dispersion	NOUN
ejpam-6382	77	5	patterns	pattern	NOUN
ejpam-6382	77	6	,	,	PUNCT
ejpam-6382	77	7	tail	tail	NOUN
ejpam-6382	77	8	behaviors	behavior	NOUN
ejpam-6382	77	9	,	,	PUNCT
ejpam-6382	77	10	and	and	CCONJ
ejpam-6382	77	11	hazard	hazard	NOUN
ejpam-6382	77	12	shapes	shape	NOUN
ejpam-6382	77	13	,	,	PUNCT
ejpam-6382	77	14	while	while	SCONJ
ejpam-6382	77	15	maintaining	maintain	VERB
ejpam-6382	77	16	tractability	tractability	NOUN
ejpam-6382	77	17	for	for	ADP
ejpam-6382	77	18	estimation	estimation	NOUN
ejpam-6382	77	19	and	and	CCONJ
ejpam-6382	77	20	interpretation	interpretation	NOUN
ejpam-6382	77	21	.	.	PUNCT
ejpam-6382	78	1	its	its	PRON
ejpam-6382	78	2	ability	ability	NOUN
ejpam-6382	78	3	to	to	PART
ejpam-6382	78	4	adapt	adapt	VERB
ejpam-6382	78	5	to	to	ADP
ejpam-6382	78	6	both	both	CCONJ
ejpam-6382	78	7	common	common	ADJ
ejpam-6382	78	8	and	and	CCONJ
ejpam-6382	78	9	extreme	extreme	ADJ
ejpam-6382	78	10	data	datum	NOUN
ejpam-6382	78	11	scenarios	scenario	NOUN
ejpam-6382	78	12	,	,	PUNCT
ejpam-6382	78	13	including	include	VERB
ejpam-6382	78	14	the	the	DET
ejpam-6382	78	15	presence	presence	NOUN
ejpam-6382	78	16	of	of	ADP
ejpam-6382	78	17	zero	zero	NUM
ejpam-6382	78	18	inflation	inflation	NOUN
ejpam-6382	78	19	,	,	PUNCT
ejpam-6382	78	20	asymmetry	asymmetry	NOUN
ejpam-6382	78	21	,	,	PUNCT
ejpam-6382	78	22	and	and	CCONJ
ejpam-6382	78	23	nonstandard	nonstandard	ADJ
ejpam-6382	78	24	hazard	hazard	NOUN
ejpam-6382	78	25	dynamics	dynamic	NOUN
ejpam-6382	78	26	,	,	PUNCT
ejpam-6382	78	27	establishes	establish	VERB
ejpam-6382	78	28	the	the	DET
ejpam-6382	78	29	lbdfw	lbdfw	ADJ
ejpam-6382	78	30	model	model	NOUN
ejpam-6382	78	31	as	as	ADP
ejpam-6382	78	32	a	a	DET
ejpam-6382	78	33	motivated	motivated	ADJ
ejpam-6382	78	34	and	and	CCONJ
ejpam-6382	78	35	superior	superior	ADJ
ejpam-6382	78	36	alternative	alternative	NOUN
ejpam-6382	78	37	in	in	ADP
ejpam-6382	78	38	the	the	DET
ejpam-6382	78	39	class	class	NOUN
ejpam-6382	78	40	of	of	ADP
ejpam-6382	78	41	length	length	NOUN
ejpam-6382	78	42	-	-	PUNCT
ejpam-6382	78	43	biased	biased	ADJ
ejpam-6382	78	44	discrete	discrete	ADJ
ejpam-6382	78	45	models	model	NOUN
ejpam-6382	78	46	.	.	PUNCT
ejpam-6382	79	1	the	the	DET
ejpam-6382	79	2	remainder	remainder	NOUN
ejpam-6382	79	3	of	of	ADP
ejpam-6382	79	4	the	the	DET
ejpam-6382	79	5	paper	paper	NOUN
ejpam-6382	79	6	is	be	AUX
ejpam-6382	79	7	structured	structure	VERB
ejpam-6382	79	8	as	as	SCONJ
ejpam-6382	79	9	follows	follow	VERB
ejpam-6382	79	10	.	.	PUNCT
ejpam-6382	80	1	first	first	ADV
ejpam-6382	80	2	,	,	PUNCT
ejpam-6382	80	3	the	the	DET
ejpam-6382	80	4	necessary	necessary	ADJ
ejpam-6382	80	5	preliminaries	preliminary	NOUN
ejpam-6382	80	6	related	relate	VERB
ejpam-6382	80	7	to	to	ADP
ejpam-6382	80	8	length	length	NOUN
ejpam-6382	80	9	-	-	PUNCT
ejpam-6382	80	10	biased	bias	VERB
ejpam-6382	80	11	distributions	distribution	NOUN
ejpam-6382	80	12	are	be	AUX
ejpam-6382	80	13	discussed	discuss	VERB
ejpam-6382	80	14	.	.	PUNCT
ejpam-6382	81	1	this	this	PRON
ejpam-6382	81	2	includes	include	VERB
ejpam-6382	81	3	the	the	DET
ejpam-6382	81	4	foundational	foundational	ADJ
ejpam-6382	81	5	definitions	definition	NOUN
ejpam-6382	81	6	,	,	PUNCT
ejpam-6382	81	7	key	key	ADJ
ejpam-6382	81	8	concepts	concept	NOUN
ejpam-6382	81	9	,	,	PUNCT
ejpam-6382	81	10	and	and	CCONJ
ejpam-6382	81	11	the	the	DET
ejpam-6382	81	12	rationale	rationale	NOUN
ejpam-6382	81	13	for	for	ADP
ejpam-6382	81	14	incorporating	incorporate	VERB
ejpam-6382	81	15	length	length	NOUN
ejpam-6382	81	16	-	-	PUNCT
ejpam-6382	81	17	biasing	biasing	NOUN
ejpam-6382	81	18	into	into	ADP
ejpam-6382	81	19	discrete	discrete	ADJ
ejpam-6382	81	20	probability	probability	NOUN
ejpam-6382	81	21	models	model	NOUN
ejpam-6382	81	22	,	,	PUNCT
ejpam-6382	81	23	particularly	particularly	ADV
ejpam-6382	81	24	within	within	ADP
ejpam-6382	81	25	the	the	DET
ejpam-6382	81	26	context	context	NOUN
ejpam-6382	81	27	of	of	ADP
ejpam-6382	81	28	count	count	ADJ
ejpam-6382	81	29	data	datum	NOUN
ejpam-6382	81	30	analysis	analysis	NOUN
ejpam-6382	81	31	.	.	PUNCT
ejpam-6382	82	1	next	next	ADV
ejpam-6382	82	2	,	,	PUNCT
ejpam-6382	82	3	a	a	DET
ejpam-6382	82	4	new	new	ADJ
ejpam-6382	82	5	model	model	NOUN
ejpam-6382	82	6	is	be	AUX
ejpam-6382	82	7	introduced	introduce	VERB
ejpam-6382	82	8	,	,	PUNCT
ejpam-6382	82	9	called	call	VERB
ejpam-6382	82	10	the	the	DET
ejpam-6382	82	11	lbdfw	lbdfw	ADJ
ejpam-6382	82	12	distribution	distribution	NOUN
ejpam-6382	82	13	.	.	PUNCT
ejpam-6382	83	1	its	its	PRON
ejpam-6382	83	2	derivation	derivation	NOUN
ejpam-6382	83	3	is	be	AUX
ejpam-6382	83	4	outlined	outline	VERB
ejpam-6382	83	5	starting	start	VERB
ejpam-6382	83	6	from	from	ADP
ejpam-6382	83	7	the	the	DET
ejpam-6382	83	8	continuous	continuous	ADJ
ejpam-6382	83	9	fréchet	fréchet	NOUN
ejpam-6382	83	10	-	-	PUNCT
ejpam-6382	83	11	weibull	weibull	PROPN
ejpam-6382	83	12	form	form	NOUN
ejpam-6382	83	13	,	,	PUNCT
ejpam-6382	83	14	followed	follow	VERB
ejpam-6382	83	15	by	by	ADP
ejpam-6382	83	16	an	an	DET
ejpam-6382	83	17	appropriate	appropriate	ADJ
ejpam-6382	83	18	discretization	discretization	NOUN
ejpam-6382	83	19	approach	approach	NOUN
ejpam-6382	83	20	that	that	PRON
ejpam-6382	83	21	integrates	integrate	VERB
ejpam-6382	83	22	the	the	DET
ejpam-6382	83	23	length	length	NOUN
ejpam-6382	83	24	-	-	PUNCT
ejpam-6382	83	25	biased	bias	VERB
ejpam-6382	83	26	transformation	transformation	NOUN
ejpam-6382	83	27	.	.	PUNCT
ejpam-6382	84	1	in	in	ADP
ejpam-6382	84	2	addition	addition	NOUN
ejpam-6382	84	3	,	,	PUNCT
ejpam-6382	84	4	graphical	graphical	ADJ
ejpam-6382	84	5	representations	representation	NOUN
ejpam-6382	84	6	of	of	ADP
ejpam-6382	84	7	the	the	DET
ejpam-6382	84	8	probability	probability	NOUN
ejpam-6382	84	9	mass	mass	ADJ
ejpam-6382	84	10	and	and	CCONJ
ejpam-6382	84	11	cumulative	cumulative	ADJ
ejpam-6382	84	12	distribution	distribution	NOUN
ejpam-6382	84	13	functions	function	NOUN
ejpam-6382	84	14	are	be	AUX
ejpam-6382	84	15	provided	provide	VERB
ejpam-6382	84	16	to	to	PART
ejpam-6382	84	17	illustrate	illustrate	VERB
ejpam-6382	84	18	the	the	DET
ejpam-6382	84	19	behavior	behavior	NOUN
ejpam-6382	84	20	of	of	ADP
ejpam-6382	84	21	the	the	DET
ejpam-6382	84	22	model	model	NOUN
ejpam-6382	84	23	under	under	ADP
ejpam-6382	84	24	different	different	ADJ
ejpam-6382	84	25	parameter	parameter	NOUN
ejpam-6382	84	26	configurations	configuration	NOUN
ejpam-6382	84	27	.	.	PUNCT
ejpam-6382	85	1	the	the	DET
ejpam-6382	85	2	characterization	characterization	NOUN
ejpam-6382	85	3	of	of	ADP
ejpam-6382	85	4	the	the	DET
ejpam-6382	85	5	proposed	propose	VERB
ejpam-6382	85	6	lbdfw	lbdfw	NOUN
ejpam-6382	85	7	model	model	NOUN
ejpam-6382	85	8	is	be	AUX
ejpam-6382	85	9	then	then	ADV
ejpam-6382	85	10	explored	explore	VERB
ejpam-6382	85	11	using	use	VERB
ejpam-6382	85	12	tools	tool	NOUN
ejpam-6382	85	13	such	such	ADJ
ejpam-6382	85	14	as	as	ADP
ejpam-6382	85	15	conditional	conditional	ADJ
ejpam-6382	85	16	expectation	expectation	NOUN
ejpam-6382	85	17	and	and	CCONJ
ejpam-6382	85	18	the	the	DET
ejpam-6382	85	19	reversed	reverse	VERB
ejpam-6382	85	20	hazard	hazard	NOUN
ejpam-6382	85	21	rate	rate	NOUN
ejpam-6382	85	22	function	function	NOUN
ejpam-6382	85	23	,	,	PUNCT
ejpam-6382	85	24	shedding	shed	VERB
ejpam-6382	85	25	light	light	NOUN
ejpam-6382	85	26	on	on	ADP
ejpam-6382	85	27	its	its	PRON
ejpam-6382	85	28	underlying	underlie	VERB
ejpam-6382	85	29	stochastic	stochastic	ADJ
ejpam-6382	85	30	structure	structure	NOUN
ejpam-6382	85	31	.	.	PUNCT
ejpam-6382	86	1	this	this	PRON
ejpam-6382	86	2	is	be	AUX
ejpam-6382	86	3	followed	follow	VERB
ejpam-6382	86	4	by	by	ADP
ejpam-6382	86	5	a	a	DET
ejpam-6382	86	6	set	set	NOUN
ejpam-6382	86	7	of	of	ADP
ejpam-6382	86	8	numerical	numerical	ADJ
ejpam-6382	86	9	calculations	calculation	NOUN
ejpam-6382	86	10	aimed	aim	VERB
ejpam-6382	86	11	at	at	ADP
ejpam-6382	86	12	analyzing	analyze	VERB
ejpam-6382	86	13	the	the	DET
ejpam-6382	86	14	behavior	behavior	NOUN
ejpam-6382	86	15	of	of	ADP
ejpam-6382	86	16	the	the	DET
ejpam-6382	86	17	model	model	NOUN
ejpam-6382	86	18	parameters	parameter	NOUN
ejpam-6382	86	19	under	under	ADP
ejpam-6382	86	20	various	various	ADJ
ejpam-6382	86	21	scenarios	scenario	NOUN
ejpam-6382	86	22	,	,	PUNCT
ejpam-6382	86	23	highlighting	highlight	VERB
ejpam-6382	86	24	the	the	DET
ejpam-6382	86	25	flexibility	flexibility	NOUN
ejpam-6382	86	26	of	of	ADP
ejpam-6382	86	27	the	the	DET
ejpam-6382	86	28	model	model	NOUN
ejpam-6382	86	29	and	and	CCONJ
ejpam-6382	86	30	the	the	DET
ejpam-6382	86	31	range	range	NOUN
ejpam-6382	86	32	of	of	ADP
ejpam-6382	86	33	shapes	shape	NOUN
ejpam-6382	86	34	.	.	PUNCT
ejpam-6382	87	1	parameter	parameter	NOUN
ejpam-6382	87	2	estimation	estimation	NOUN
ejpam-6382	87	3	is	be	AUX
ejpam-6382	87	4	carried	carry	VERB
ejpam-6382	87	5	out	out	ADP
ejpam-6382	87	6	using	use	VERB
ejpam-6382	87	7	the	the	DET
ejpam-6382	87	8	method	method	NOUN
ejpam-6382	87	9	of	of	ADP
ejpam-6382	87	10	maximum	maximum	ADJ
ejpam-6382	87	11	likelihood	likelihood	NOUN
ejpam-6382	87	12	.	.	PUNCT
ejpam-6382	88	1	the	the	DET
ejpam-6382	88	2	likelihood	likelihood	NOUN
ejpam-6382	88	3	function	function	NOUN
ejpam-6382	88	4	is	be	AUX
ejpam-6382	88	5	constructed	construct	VERB
ejpam-6382	88	6	,	,	PUNCT
ejpam-6382	88	7	and	and	CCONJ
ejpam-6382	88	8	the	the	DET
ejpam-6382	88	9	corresponding	correspond	VERB
ejpam-6382	88	10	estimating	estimate	VERB
ejpam-6382	88	11	equations	equation	NOUN
ejpam-6382	88	12	are	be	AUX
ejpam-6382	88	13	derived	derive	VERB
ejpam-6382	88	14	and	and	CCONJ
ejpam-6382	88	15	numerically	numerically	ADV
ejpam-6382	88	16	solved	solve	VERB
ejpam-6382	88	17	.	.	PUNCT
ejpam-6382	89	1	to	to	PART
ejpam-6382	89	2	assess	assess	VERB
ejpam-6382	89	3	the	the	DET
ejpam-6382	89	4	performance	performance	NOUN
ejpam-6382	89	5	of	of	ADP
ejpam-6382	89	6	these	these	DET
ejpam-6382	89	7	estimators	estimator	NOUN
ejpam-6382	89	8	,	,	PUNCT
ejpam-6382	89	9	a	a	DET
ejpam-6382	89	10	comprehensive	comprehensive	ADJ
ejpam-6382	89	11	simulation	simulation	NOUN
ejpam-6382	89	12	study	study	NOUN
ejpam-6382	89	13	is	be	AUX
ejpam-6382	89	14	conducted	conduct	VERB
ejpam-6382	89	15	across	across	ADP
ejpam-6382	89	16	multiple	multiple	ADJ
ejpam-6382	89	17	scenarios	scenario	NOUN
ejpam-6382	89	18	involving	involve	VERB
ejpam-6382	89	19	different	different	ADJ
ejpam-6382	89	20	sample	sample	NOUN
ejpam-6382	89	21	sizes	size	NOUN
ejpam-6382	89	22	and	and	CCONJ
ejpam-6382	89	23	parameter	parameter	NOUN
ejpam-6382	89	24	combinations	combination	NOUN
ejpam-6382	89	25	,	,	PUNCT
ejpam-6382	89	26	focusing	focus	VERB
ejpam-6382	89	27	on	on	ADP
ejpam-6382	89	28	empirical	empirical	ADJ
ejpam-6382	89	29	bias	bias	NOUN
ejpam-6382	89	30	and	and	CCONJ
ejpam-6382	89	31	mean	mean	VERB
ejpam-6382	89	32	squared	square	VERB
ejpam-6382	89	33	error	error	NOUN
ejpam-6382	89	34	.	.	PUNCT
ejpam-6382	90	1	the	the	DET
ejpam-6382	90	2	practical	practical	ADJ
ejpam-6382	90	3	effectiveness	effectiveness	NOUN
ejpam-6382	90	4	of	of	ADP
ejpam-6382	90	5	the	the	DET
ejpam-6382	90	6	lbdfw	lbdfw	ADJ
ejpam-6382	90	7	model	model	NOUN
ejpam-6382	90	8	is	be	AUX
ejpam-6382	90	9	demonstrated	demonstrate	VERB
ejpam-6382	90	10	by	by	ADP
ejpam-6382	90	11	applying	apply	VERB
ejpam-6382	90	12	it	it	PRON
ejpam-6382	90	13	to	to	ADP
ejpam-6382	90	14	two	two	NUM
ejpam-6382	90	15	real	real	ADJ
ejpam-6382	90	16	-	-	PUNCT
ejpam-6382	90	17	world	world	NOUN
ejpam-6382	90	18	count	count	NOUN
ejpam-6382	90	19	datasets	dataset	NOUN
ejpam-6382	90	20	.	.	PUNCT
ejpam-6382	91	1	comparative	comparative	ADJ
ejpam-6382	91	2	analysis	analysis	NOUN
ejpam-6382	91	3	is	be	AUX
ejpam-6382	91	4	performed	perform	VERB
ejpam-6382	91	5	against	against	ADP
ejpam-6382	91	6	existing	exist	VERB
ejpam-6382	91	7	models	model	NOUN
ejpam-6382	91	8	,	,	PUNCT
ejpam-6382	91	9	namely	namely	ADV
ejpam-6382	91	10	,	,	PUNCT
ejpam-6382	91	11	the	the	DET
ejpam-6382	91	12	discretized	discretized	ADJ
ejpam-6382	91	13	fréchet	fréchet	NOUN
ejpam-6382	91	14	-	-	PUNCT
ejpam-6382	91	15	weibull	weibull	NOUN
ejpam-6382	91	16	,	,	PUNCT
ejpam-6382	91	17	weighted	weight	VERB
ejpam-6382	91	18	discretized	discretized	ADJ
ejpam-6382	91	19	fréchet	fréchet	NOUN
ejpam-6382	91	20	-	-	PUNCT
ejpam-6382	91	21	weibull	weibull	NOUN
ejpam-6382	91	22	,	,	PUNCT
ejpam-6382	91	23	discrete	discrete	VERB
ejpam-6382	91	24	generalized	generalized	ADJ
ejpam-6382	91	25	inverse	inverse	NOUN
ejpam-6382	91	26	weibull	weibull	NOUN
ejpam-6382	91	27	,	,	PUNCT
ejpam-6382	91	28	and	and	CCONJ
ejpam-6382	91	29	discrete	discrete	VERB
ejpam-6382	91	30	generalized	generalized	ADJ
ejpam-6382	91	31	weibull	weibull	NOUN
ejpam-6382	91	32	distributions	distribution	NOUN
ejpam-6382	91	33	,	,	PUNCT
ejpam-6382	91	34	using	use	VERB
ejpam-6382	91	35	several	several	ADJ
ejpam-6382	91	36	goodness	goodness	NOUN
ejpam-6382	91	37	-	-	PUNCT
ejpam-6382	91	38	of	of	ADP
ejpam-6382	91	39	-	-	PUNCT
ejpam-6382	91	40	fit	fit	ADJ
ejpam-6382	91	41	and	and	CCONJ
ejpam-6382	91	42	model	model	NOUN
ejpam-6382	91	43	selection	selection	NOUN
ejpam-6382	91	44	criteria	criterion	NOUN
ejpam-6382	91	45	.	.	PUNCT
ejpam-6382	92	1	the	the	DET
ejpam-6382	92	2	paper	paper	NOUN
ejpam-6382	92	3	concludes	conclude	VERB
ejpam-6382	92	4	by	by	ADP
ejpam-6382	92	5	summarizing	summarize	VERB
ejpam-6382	92	6	the	the	DET
ejpam-6382	92	7	key	key	ADJ
ejpam-6382	92	8	findings	finding	NOUN
ejpam-6382	92	9	,	,	PUNCT
ejpam-6382	92	10	highlighting	highlight	VERB
ejpam-6382	92	11	the	the	DET
ejpam-6382	92	12	strengths	strength	NOUN
ejpam-6382	92	13	and	and	CCONJ
ejpam-6382	92	14	potential	potential	ADJ
ejpam-6382	92	15	limitations	limitation	NOUN
ejpam-6382	92	16	of	of	ADP
ejpam-6382	92	17	the	the	DET
ejpam-6382	92	18	proposed	propose	VERB
ejpam-6382	92	19	model	model	NOUN
ejpam-6382	92	20	,	,	PUNCT
ejpam-6382	92	21	and	and	CCONJ
ejpam-6382	92	22	offering	offer	VERB
ejpam-6382	92	23	recommendations	recommendation	NOUN
ejpam-6382	92	24	for	for	ADP
ejpam-6382	92	25	future	future	ADJ
ejpam-6382	92	26	research	research	NOUN
ejpam-6382	92	27	directions	direction	NOUN
ejpam-6382	92	28	.	.	PUNCT
ejpam-6382	93	1	2	2	X
ejpam-6382	93	2	.	.	X
ejpam-6382	93	3	mathematical	mathematical	ADJ
ejpam-6382	93	4	theory	theory	NOUN
ejpam-6382	93	5	and	and	CCONJ
ejpam-6382	93	6	graphical	graphical	ADJ
ejpam-6382	93	7	representation	representation	NOUN
ejpam-6382	93	8	of	of	ADP
ejpam-6382	93	9	the	the	DET
ejpam-6382	93	10	lbdfw	lbdfw	ADJ
ejpam-6382	93	11	distribution	distribution	NOUN
ejpam-6382	93	12	let	let	VERB
ejpam-6382	93	13	y	y	PRON
ejpam-6382	93	14	be	be	AUX
ejpam-6382	93	15	a	a	DET
ejpam-6382	93	16	non	non	ADJ
ejpam-6382	93	17	-	-	ADJ
ejpam-6382	93	18	negative	negative	ADJ
ejpam-6382	93	19	count	count	ADJ
ejpam-6382	93	20	random	random	ADJ
ejpam-6382	93	21	variable	variable	NOUN
ejpam-6382	93	22	with	with	ADP
ejpam-6382	93	23	probability	probability	NOUN
ejpam-6382	93	24	mass	mass	NOUN
ejpam-6382	93	25	function	function	NOUN
ejpam-6382	93	26	(	(	PUNCT
ejpam-6382	93	27	pmf	pmf	NOUN
ejpam-6382	93	28	)	)	PUNCT
ejpam-6382	93	29	p	p	X
ejpam-6382	94	1	[	[	X
ejpam-6382	94	2	y	y	X
ejpam-6382	94	3	=	=	SYM
ejpam-6382	94	4	y	y	PROPN
ejpam-6382	94	5	]	]	X
ejpam-6382	94	6	,	,	PUNCT
ejpam-6382	94	7	where	where	SCONJ
ejpam-6382	94	8	y	y	PROPN
ejpam-6382	94	9	∈	∈	PROPN
ejpam-6382	94	10	z+	z+	NUM
ejpam-6382	94	11	=	=	SYM
ejpam-6382	94	12	{	{	PUNCT
ejpam-6382	94	13	0	0	NUM
ejpam-6382	94	14	,	,	PUNCT
ejpam-6382	94	15	1	1	NUM
ejpam-6382	94	16	,	,	PUNCT
ejpam-6382	94	17	2	2	NUM
ejpam-6382	94	18	,	,	PUNCT
ejpam-6382	94	19	...	...	PUNCT
ejpam-6382	94	20	}	}	PUNCT
ejpam-6382	94	21	and	and	CCONJ
ejpam-6382	94	22	yw	yw	PROPN
ejpam-6382	94	23	be	be	AUX
ejpam-6382	94	24	the	the	DET
ejpam-6382	94	25	corresponding	corresponding	ADJ
ejpam-6382	94	26	weighted	weight	VERB
ejpam-6382	94	27	random	random	ADJ
ejpam-6382	94	28	d.	d.	PROPN
ejpam-6382	94	29	das	das	PROPN
ejpam-6382	94	30	et	et	PROPN
ejpam-6382	94	31	al	al	PROPN
ejpam-6382	94	32	.	.	PUNCT
ejpam-6382	94	33	/	/	SYM
ejpam-6382	94	34	eur	eur	PROPN
ejpam-6382	94	35	.	.	PUNCT
ejpam-6382	95	1	j.	j.	PROPN
ejpam-6382	95	2	pure	pure	PROPN
ejpam-6382	95	3	appl	appl	PROPN
ejpam-6382	95	4	.	.	PROPN
ejpam-6382	95	5	math	math	PROPN
ejpam-6382	95	6	,	,	PUNCT
ejpam-6382	95	7	18	18	NUM
ejpam-6382	95	8	(	(	PUNCT
ejpam-6382	95	9	3	3	NUM
ejpam-6382	95	10	)	)	PUNCT
ejpam-6382	95	11	(	(	PUNCT
ejpam-6382	95	12	2025	2025	NUM
ejpam-6382	95	13	)	)	PUNCT
ejpam-6382	95	14	,	,	PUNCT
ejpam-6382	95	15	6382	6382	NUM
ejpam-6382	95	16	5	5	NUM
ejpam-6382	95	17	of	of	ADP
ejpam-6382	95	18	29	29	NUM
ejpam-6382	95	19	variable	variable	NOUN
ejpam-6382	95	20	.	.	PUNCT
ejpam-6382	96	1	let	let	AUX
ejpam-6382	96	2	w(y	w(y	NOUN
ejpam-6382	96	3	)	)	PUNCT
ejpam-6382	96	4	be	be	AUX
ejpam-6382	96	5	a	a	DET
ejpam-6382	96	6	non	non	ADJ
ejpam-6382	96	7	-	-	ADJ
ejpam-6382	96	8	negative	negative	ADJ
ejpam-6382	96	9	weight	weight	NOUN
ejpam-6382	96	10	function	function	NOUN
ejpam-6382	96	11	on	on	ADP
ejpam-6382	96	12	z+	z+	NUM
ejpam-6382	96	13	having	have	VERB
ejpam-6382	96	14	a	a	DET
ejpam-6382	96	15	finite	finite	ADJ
ejpam-6382	96	16	expectation	expectation	NOUN
ejpam-6382	96	17	e[w(y	e[w(y	NOUN
ejpam-6382	96	18	)	)	PUNCT
ejpam-6382	96	19	]	]	PUNCT
ejpam-6382	97	1	=	=	PUNCT
ejpam-6382	97	2	∑	∑	PUNCT
ejpam-6382	97	3	y	y	PROPN
ejpam-6382	97	4	w(y)×	w(y)×	VERB
ejpam-6382	97	5	p	p	PROPN
ejpam-6382	98	1	[	[	X
ejpam-6382	98	2	y	y	NOUN
ejpam-6382	98	3	=	=	SYM
ejpam-6382	98	4	y	y	PROPN
ejpam-6382	98	5	]	]	X
ejpam-6382	98	6	<	<	X
ejpam-6382	98	7	∞.	∞.	PROPN
ejpam-6382	98	8	then	then	ADV
ejpam-6382	98	9	,	,	PUNCT
ejpam-6382	98	10	following	follow	VERB
ejpam-6382	98	11	the	the	DET
ejpam-6382	98	12	notations	notation	NOUN
ejpam-6382	98	13	in	in	ADP
ejpam-6382	98	14	kokonendji	kokonendji	NOUN
ejpam-6382	98	15	and	and	CCONJ
ejpam-6382	98	16	casany	casany	VERB
ejpam-6382	98	17	[	[	X
ejpam-6382	98	18	13	13	NUM
ejpam-6382	98	19	]	]	PUNCT
ejpam-6382	98	20	,	,	PUNCT
ejpam-6382	98	21	the	the	DET
ejpam-6382	98	22	pmf	pmf	NOUN
ejpam-6382	98	23	of	of	ADP
ejpam-6382	98	24	the	the	DET
ejpam-6382	98	25	weighted	weight	VERB
ejpam-6382	98	26	random	random	ADJ
ejpam-6382	98	27	variable	variable	NOUN
ejpam-6382	98	28	yw	yw	PROPN
ejpam-6382	98	29	is	be	AUX
ejpam-6382	98	30	given	give	VERB
ejpam-6382	98	31	by	by	ADP
ejpam-6382	98	32	pw	pw	PROPN
ejpam-6382	99	1	[	[	X
ejpam-6382	99	2	yw	yw	X
ejpam-6382	99	3	=	=	SYM
ejpam-6382	99	4	y	y	PROPN
ejpam-6382	99	5	]	]	X
ejpam-6382	99	6	=	=	PUNCT
ejpam-6382	99	7	w(y)×	w(y)×	VERB
ejpam-6382	99	8	p	p	PROPN
ejpam-6382	100	1	[	[	X
ejpam-6382	100	2	y	y	NOUN
ejpam-6382	100	3	=	=	SYM
ejpam-6382	100	4	y	y	PROPN
ejpam-6382	100	5	]	]	X
ejpam-6382	100	6	e[w(y	e[w(y	NOUN
ejpam-6382	100	7	)	)	PUNCT
ejpam-6382	100	8	]	]	PUNCT
ejpam-6382	100	9	;	;	PUNCT
ejpam-6382	100	10	y	y	PROPN
ejpam-6382	100	11	∈	∈	PROPN
ejpam-6382	100	12	z+	z+	X
ejpam-6382	100	13	.	.	PUNCT
ejpam-6382	101	1	(	(	PUNCT
ejpam-6382	101	2	2.1	2.1	NUM
ejpam-6382	101	3	)	)	PUNCT
ejpam-6382	101	4	depending	depend	VERB
ejpam-6382	101	5	upon	upon	SCONJ
ejpam-6382	101	6	the	the	DET
ejpam-6382	101	7	choice	choice	NOUN
ejpam-6382	101	8	of	of	ADP
ejpam-6382	101	9	the	the	DET
ejpam-6382	101	10	weight	weight	NOUN
ejpam-6382	101	11	function	function	NOUN
ejpam-6382	101	12	w(y	w(y	PROPN
ejpam-6382	101	13	)	)	PUNCT
ejpam-6382	101	14	,	,	PUNCT
ejpam-6382	101	15	we	we	PRON
ejpam-6382	101	16	have	have	VERB
ejpam-6382	101	17	different	different	ADJ
ejpam-6382	101	18	weighted	weight	VERB
ejpam-6382	101	19	models	model	NOUN
ejpam-6382	101	20	.	.	PUNCT
ejpam-6382	102	1	the	the	DET
ejpam-6382	102	2	two	two	NUM
ejpam-6382	102	3	most	most	ADV
ejpam-6382	102	4	prevalent	prevalent	ADJ
ejpam-6382	102	5	types	type	NOUN
ejpam-6382	102	6	of	of	ADP
ejpam-6382	102	7	weighted	weight	VERB
ejpam-6382	102	8	distributions	distribution	NOUN
ejpam-6382	102	9	are	be	AUX
ejpam-6382	102	10	the	the	DET
ejpam-6382	102	11	length	length	NOUN
ejpam-6382	102	12	-	-	PUNCT
ejpam-6382	102	13	biased	bias	VERB
ejpam-6382	102	14	and	and	CCONJ
ejpam-6382	102	15	the	the	DET
ejpam-6382	102	16	sizebiased	sizebiased	ADJ
ejpam-6382	102	17	distributions	distribution	NOUN
ejpam-6382	102	18	.	.	PUNCT
ejpam-6382	103	1	a	a	DET
ejpam-6382	103	2	distribution	distribution	NOUN
ejpam-6382	103	3	is	be	AUX
ejpam-6382	103	4	said	say	VERB
ejpam-6382	103	5	to	to	PART
ejpam-6382	103	6	be	be	AUX
ejpam-6382	103	7	length	length	NOUN
ejpam-6382	103	8	-	-	PUNCT
ejpam-6382	103	9	biased	biased	ADJ
ejpam-6382	103	10	when	when	SCONJ
ejpam-6382	103	11	the	the	DET
ejpam-6382	103	12	probability	probability	NOUN
ejpam-6382	103	13	of	of	ADP
ejpam-6382	103	14	detecting	detect	VERB
ejpam-6382	103	15	a	a	DET
ejpam-6382	103	16	positive	positive	ADV
ejpam-6382	103	17	-	-	PUNCT
ejpam-6382	103	18	valued	value	VERB
ejpam-6382	103	19	random	random	ADJ
ejpam-6382	103	20	variable	variable	NOUN
ejpam-6382	103	21	is	be	AUX
ejpam-6382	103	22	proportionate	proportionate	ADJ
ejpam-6382	103	23	to	to	ADP
ejpam-6382	103	24	the	the	DET
ejpam-6382	103	25	variable	variable	NOUN
ejpam-6382	103	26	’s	’s	PART
ejpam-6382	103	27	value	value	NOUN
ejpam-6382	103	28	.	.	PUNCT
ejpam-6382	104	1	on	on	ADP
ejpam-6382	104	2	the	the	DET
ejpam-6382	104	3	other	other	ADJ
ejpam-6382	104	4	hand	hand	NOUN
ejpam-6382	104	5	,	,	PUNCT
ejpam-6382	104	6	the	the	DET
ejpam-6382	104	7	weighted	weight	VERB
ejpam-6382	104	8	distributions	distribution	NOUN
ejpam-6382	104	9	where	where	SCONJ
ejpam-6382	104	10	the	the	DET
ejpam-6382	104	11	observations	observation	NOUN
ejpam-6382	104	12	from	from	ADP
ejpam-6382	104	13	a	a	DET
ejpam-6382	104	14	sample	sample	NOUN
ejpam-6382	104	15	are	be	AUX
ejpam-6382	104	16	recorded	record	VERB
ejpam-6382	104	17	with	with	ADP
ejpam-6382	104	18	probability	probability	NOUN
ejpam-6382	104	19	proportional	proportional	ADJ
ejpam-6382	104	20	to	to	ADP
ejpam-6382	104	21	some	some	DET
ejpam-6382	104	22	measure	measure	NOUN
ejpam-6382	104	23	of	of	ADP
ejpam-6382	104	24	unit	unit	NOUN
ejpam-6382	104	25	size	size	NOUN
ejpam-6382	104	26	,	,	PUNCT
ejpam-6382	104	27	are	be	AUX
ejpam-6382	104	28	called	call	VERB
ejpam-6382	104	29	size	size	NOUN
ejpam-6382	104	30	-	-	PUNCT
ejpam-6382	104	31	biased	bias	VERB
ejpam-6382	104	32	distributions	distribution	NOUN
ejpam-6382	104	33	.	.	PUNCT
ejpam-6382	105	1	it	it	PRON
ejpam-6382	105	2	is	be	AUX
ejpam-6382	105	3	noteworthy	noteworthy	ADJ
ejpam-6382	105	4	that	that	SCONJ
ejpam-6382	105	5	a	a	DET
ejpam-6382	105	6	particular	particular	ADJ
ejpam-6382	105	7	case	case	NOUN
ejpam-6382	105	8	of	of	ADP
ejpam-6382	105	9	size	size	NOUN
ejpam-6382	105	10	-	-	PUNCT
ejpam-6382	105	11	biased	bias	VERB
ejpam-6382	105	12	distribution	distribution	NOUN
ejpam-6382	105	13	is	be	AUX
ejpam-6382	105	14	lengthbiased	lengthbiase	VERB
ejpam-6382	105	15	distribution	distribution	NOUN
ejpam-6382	105	16	.	.	PUNCT
ejpam-6382	106	1	focusing	focus	VERB
ejpam-6382	106	2	on	on	ADP
ejpam-6382	106	3	the	the	DET
ejpam-6382	106	4	discrete	discrete	ADJ
ejpam-6382	106	5	random	random	ADJ
ejpam-6382	106	6	variable	variable	NOUN
ejpam-6382	106	7	y	y	PROPN
ejpam-6382	106	8	,	,	PUNCT
ejpam-6382	106	9	according	accord	VERB
ejpam-6382	106	10	to	to	ADP
ejpam-6382	106	11	castillo	castillo	PROPN
ejpam-6382	106	12	and	and	CCONJ
ejpam-6382	106	13	casany	casany	VERB
ejpam-6382	106	14	[	[	X
ejpam-6382	106	15	14	14	NUM
ejpam-6382	106	16	]	]	PUNCT
ejpam-6382	106	17	,	,	PUNCT
ejpam-6382	106	18	let	let	VERB
ejpam-6382	106	19	ys	ys	PRON
ejpam-6382	106	20	denote	denote	VERB
ejpam-6382	106	21	the	the	DET
ejpam-6382	106	22	weighted	weight	VERB
ejpam-6382	106	23	random	random	ADJ
ejpam-6382	106	24	variable	variable	NOUN
ejpam-6382	106	25	associated	associate	VERB
ejpam-6382	106	26	with	with	ADP
ejpam-6382	106	27	the	the	DET
ejpam-6382	106	28	weight	weight	NOUN
ejpam-6382	106	29	function	function	NOUN
ejpam-6382	106	30	w(y	w(y	NOUN
ejpam-6382	106	31	)	)	PUNCT
ejpam-6382	106	32	=	=	SYM
ejpam-6382	107	1	yc	yc	X
ejpam-6382	107	2	.	.	PUNCT
ejpam-6382	108	1	the	the	DET
ejpam-6382	108	2	resulting	result	VERB
ejpam-6382	108	3	distribution	distribution	NOUN
ejpam-6382	108	4	is	be	AUX
ejpam-6382	108	5	referred	refer	VERB
ejpam-6382	108	6	to	to	ADP
ejpam-6382	108	7	as	as	SCONJ
ejpam-6382	108	8	size	size	NOUN
ejpam-6382	108	9	-	-	PUNCT
ejpam-6382	108	10	biased	bias	VERB
ejpam-6382	108	11	of	of	ADP
ejpam-6382	108	12	order	order	NOUN
ejpam-6382	108	13	c.	c.	NOUN
ejpam-6382	108	14	when	when	SCONJ
ejpam-6382	108	15	w(y	w(y	NOUN
ejpam-6382	108	16	)	)	PUNCT
ejpam-6382	108	17	=	=	SYM
ejpam-6382	108	18	y	y	PROPN
ejpam-6382	108	19	(	(	PUNCT
ejpam-6382	108	20	i.e.	i.e.	X
ejpam-6382	108	21	,	,	PUNCT
ejpam-6382	108	22	c	c	NOUN
ejpam-6382	108	23	=	=	SYM
ejpam-6382	108	24	1	1	NUM
ejpam-6382	108	25	)	)	PUNCT
ejpam-6382	108	26	,	,	PUNCT
ejpam-6382	108	27	the	the	DET
ejpam-6382	108	28	distribution	distribution	NOUN
ejpam-6382	108	29	of	of	ADP
ejpam-6382	108	30	the	the	DET
ejpam-6382	108	31	random	random	ADJ
ejpam-6382	108	32	variable	variable	NOUN
ejpam-6382	108	33	yl	yl	NOUN
ejpam-6382	108	34	is	be	AUX
ejpam-6382	108	35	known	know	VERB
ejpam-6382	108	36	as	as	ADP
ejpam-6382	108	37	the	the	DET
ejpam-6382	108	38	length	length	NOUN
ejpam-6382	108	39	-	-	PUNCT
ejpam-6382	108	40	biased	bias	VERB
ejpam-6382	108	41	distribution	distribution	NOUN
ejpam-6382	108	42	.	.	PUNCT
ejpam-6382	109	1	the	the	DET
ejpam-6382	109	2	pmf	pmf	NOUN
ejpam-6382	109	3	of	of	ADP
ejpam-6382	109	4	the	the	DET
ejpam-6382	109	5	length	length	NOUN
ejpam-6382	109	6	-	-	PUNCT
ejpam-6382	109	7	biased	bias	VERB
ejpam-6382	109	8	distribution	distribution	NOUN
ejpam-6382	109	9	is	be	AUX
ejpam-6382	109	10	given	give	VERB
ejpam-6382	109	11	by	by	ADP
ejpam-6382	109	12	:	:	PUNCT
ejpam-6382	109	13	pl[yl	pl[yl	NOUN
ejpam-6382	109	14	=	=	PUNCT
ejpam-6382	109	15	y	y	NOUN
ejpam-6382	109	16	]	]	X
ejpam-6382	109	17	=	=	PUNCT
ejpam-6382	109	18	y	y	NUM
ejpam-6382	109	19	×	×	NOUN
ejpam-6382	109	20	p	p	X
ejpam-6382	110	1	[	[	X
ejpam-6382	110	2	y	y	NOUN
ejpam-6382	110	3	=	=	SYM
ejpam-6382	110	4	y	y	PROPN
ejpam-6382	110	5	]	]	PUNCT
ejpam-6382	110	6	e[y	e[y	X
ejpam-6382	110	7	]	]	PUNCT
ejpam-6382	110	8	;	;	PUNCT
ejpam-6382	110	9	y	y	PROPN
ejpam-6382	110	10	∈	∈	PROPN
ejpam-6382	110	11	z+	z+	X
ejpam-6382	110	12	,	,	PUNCT
ejpam-6382	110	13	(	(	PUNCT
ejpam-6382	110	14	2.2	2.2	NUM
ejpam-6382	110	15	)	)	PUNCT
ejpam-6382	110	16	where	where	SCONJ
ejpam-6382	110	17	e[y	e[y	NOUN
ejpam-6382	110	18	]	]	X
ejpam-6382	110	19	=	=	PUNCT
ejpam-6382	110	20	∑	∑	PUNCT
ejpam-6382	110	21	y	y	PROPN
ejpam-6382	110	22	y.p	y.p	PROPN
ejpam-6382	111	1	[	[	X
ejpam-6382	111	2	y	y	NOUN
ejpam-6382	111	3	=	=	SYM
ejpam-6382	111	4	y	y	PROPN
ejpam-6382	111	5	]	]	X
ejpam-6382	111	6	<	<	X
ejpam-6382	112	1	∞.	∞.	PROPN
ejpam-6382	112	2	using	use	VERB
ejpam-6382	112	3	the	the	DET
ejpam-6382	112	4	survival	survival	NOUN
ejpam-6382	112	5	function	function	NOUN
ejpam-6382	112	6	approach	approach	NOUN
ejpam-6382	112	7	of	of	ADP
ejpam-6382	112	8	discretization	discretization	NOUN
ejpam-6382	112	9	,	,	PUNCT
ejpam-6382	112	10	recently	recently	ADV
ejpam-6382	112	11	das	das	PROPN
ejpam-6382	112	12	and	and	CCONJ
ejpam-6382	112	13	das	das	PROPN
ejpam-6382	112	14	[	[	X
ejpam-6382	112	15	12	12	NUM
ejpam-6382	112	16	]	]	PUNCT
ejpam-6382	112	17	developed	develop	VERB
ejpam-6382	112	18	a	a	DET
ejpam-6382	112	19	new	new	ADJ
ejpam-6382	112	20	discrete	discrete	ADJ
ejpam-6382	112	21	distribution	distribution	NOUN
ejpam-6382	112	22	called	call	VERB
ejpam-6382	112	23	discretized	discretized	ADJ
ejpam-6382	112	24	fréchetweibull	fréchetweibull	PROPN
ejpam-6382	112	25	(	(	PUNCT
ejpam-6382	112	26	dfw	dfw	PROPN
ejpam-6382	112	27	)	)	PUNCT
ejpam-6382	112	28	model	model	NOUN
ejpam-6382	112	29	.	.	PUNCT
ejpam-6382	113	1	its	its	PRON
ejpam-6382	113	2	hazard	hazard	NOUN
ejpam-6382	113	3	rate	rate	NOUN
ejpam-6382	113	4	function	function	NOUN
ejpam-6382	113	5	exhibits	exhibit	VERB
ejpam-6382	113	6	increasing	increase	VERB
ejpam-6382	113	7	,	,	PUNCT
ejpam-6382	113	8	decreasing	decrease	VERB
ejpam-6382	113	9	,	,	PUNCT
ejpam-6382	113	10	and	and	CCONJ
ejpam-6382	113	11	upside	upside	ADV
ejpam-6382	113	12	down	down	ADP
ejpam-6382	113	13	bathtub	bathtub	PROPN
ejpam-6382	113	14	shapes	shape	NOUN
ejpam-6382	113	15	,	,	PUNCT
ejpam-6382	113	16	which	which	PRON
ejpam-6382	113	17	are	be	AUX
ejpam-6382	113	18	seldom	seldom	ADV
ejpam-6382	113	19	observed	observe	VERB
ejpam-6382	113	20	in	in	ADP
ejpam-6382	113	21	count	count	NOUN
ejpam-6382	113	22	distributions	distribution	NOUN
ejpam-6382	113	23	.	.	PUNCT
ejpam-6382	114	1	further	far	ADV
ejpam-6382	114	2	,	,	PUNCT
ejpam-6382	114	3	this	this	DET
ejpam-6382	114	4	distribution	distribution	NOUN
ejpam-6382	114	5	can	can	AUX
ejpam-6382	114	6	be	be	AUX
ejpam-6382	114	7	modeled	model	VERB
ejpam-6382	114	8	with	with	ADP
ejpam-6382	114	9	both	both	CCONJ
ejpam-6382	114	10	positively	positively	ADV
ejpam-6382	114	11	and	and	CCONJ
ejpam-6382	114	12	negatively	negatively	ADV
ejpam-6382	114	13	skewed	skewed	ADJ
ejpam-6382	114	14	data	datum	NOUN
ejpam-6382	114	15	.	.	PUNCT
ejpam-6382	115	1	let	let	VERB
ejpam-6382	115	2	ξ	ξ	X
ejpam-6382	115	3	be	be	AUX
ejpam-6382	115	4	the	the	DET
ejpam-6382	115	5	parameter	parameter	NOUN
ejpam-6382	115	6	vector	vector	NOUN
ejpam-6382	115	7	of	of	ADP
ejpam-6382	115	8	dfw	dfw	PROPN
ejpam-6382	115	9	,	,	PUNCT
ejpam-6382	115	10	defined	define	VERB
ejpam-6382	115	11	as	as	ADP
ejpam-6382	115	12	ξ	ξ	X
ejpam-6382	115	13	=	=	SYM
ejpam-6382	115	14	(	(	PUNCT
ejpam-6382	115	15	α	α	X
ejpam-6382	115	16	,	,	PUNCT
ejpam-6382	115	17	β	β	X
ejpam-6382	115	18	,	,	PUNCT
ejpam-6382	115	19	m	m	PRON
ejpam-6382	115	20	,	,	PUNCT
ejpam-6382	115	21	k)t	k)t	X
ejpam-6382	115	22	,	,	PUNCT
ejpam-6382	115	23	such	such	ADJ
ejpam-6382	115	24	that	that	SCONJ
ejpam-6382	115	25	ξ	ξ	PROPN
ejpam-6382	115	26	∈	∈	PROPN
ejpam-6382	115	27	(	(	PUNCT
ejpam-6382	115	28	r+	r+	NOUN
ejpam-6382	115	29	×	×	NOUN
ejpam-6382	115	30	r+	r+	NOUN
ejpam-6382	115	31	×	×	NOUN
ejpam-6382	115	32	r+	r+	NOUN
ejpam-6382	115	33	×r+	×r+	ADV
ejpam-6382	115	34	)	)	PUNCT
ejpam-6382	115	35	.	.	PUNCT
ejpam-6382	116	1	the	the	DET
ejpam-6382	116	2	pmf	pmf	NOUN
ejpam-6382	116	3	of	of	ADP
ejpam-6382	116	4	the	the	DET
ejpam-6382	116	5	random	random	ADJ
ejpam-6382	116	6	variable	variable	NOUN
ejpam-6382	116	7	y	y	NOUN
ejpam-6382	116	8	∼	∼	NOUN
ejpam-6382	116	9	dfw(α	dfw(α	PROPN
ejpam-6382	116	10	,	,	PUNCT
ejpam-6382	116	11	β	β	X
ejpam-6382	116	12	,	,	PUNCT
ejpam-6382	116	13	m	m	PROPN
ejpam-6382	116	14	,	,	PUNCT
ejpam-6382	116	15	k	k	NOUN
ejpam-6382	116	16	)	)	PUNCT
ejpam-6382	116	17	,	,	PUNCT
ejpam-6382	116	18	is	be	AUX
ejpam-6382	116	19	given	give	VERB
ejpam-6382	116	20	by	by	ADP
ejpam-6382	116	21	p	p	PROPN
ejpam-6382	116	22	[	[	X
ejpam-6382	116	23	y	y	PROPN
ejpam-6382	116	24	=	=	SYM
ejpam-6382	116	25	y	y	PROPN
ejpam-6382	116	26	;	;	PUNCT
ejpam-6382	116	27	ξ	ξ	X
ejpam-6382	116	28	]	]	PUNCT
ejpam-6382	116	29	=	=	SYM
ejpam-6382	116	30	exp	exp	X
ejpam-6382	116	31	{	{	PUNCT
ejpam-6382	116	32	−βα	−βα	PROPN
ejpam-6382	116	33	(	(	PUNCT
ejpam-6382	116	34	m	m	VERB
ejpam-6382	116	35	y	y	NOUN
ejpam-6382	116	36	+	+	ADJ
ejpam-6382	116	37	1	1	NUM
ejpam-6382	116	38	)	)	PUNCT
ejpam-6382	116	39	αk	αk	ADP
ejpam-6382	116	40	}	}	PUNCT
ejpam-6382	116	41	−	−	PROPN
ejpam-6382	116	42	exp	exp	NOUN
ejpam-6382	116	43	{	{	PUNCT
ejpam-6382	116	44	−βα	−βα	PROPN
ejpam-6382	116	45	(	(	PUNCT
ejpam-6382	116	46	m	m	VERB
ejpam-6382	116	47	y	y	NOUN
ejpam-6382	116	48	)	)	PUNCT
ejpam-6382	116	49	αk	αk	ADP
ejpam-6382	116	50	}	}	PUNCT
ejpam-6382	116	51	,	,	PUNCT
ejpam-6382	116	52	(	(	PUNCT
ejpam-6382	116	53	2.3	2.3	NUM
ejpam-6382	116	54	)	)	PUNCT
ejpam-6382	116	55	where	where	SCONJ
ejpam-6382	116	56	y	y	PROPN
ejpam-6382	116	57	∈	∈	PROPN
ejpam-6382	116	58	z+	z+	NUM
ejpam-6382	116	59	and	and	CCONJ
ejpam-6382	116	60	the	the	DET
ejpam-6382	116	61	parameters	parameter	NOUN
ejpam-6382	116	62	(	(	PUNCT
ejpam-6382	116	63	α	α	X
ejpam-6382	116	64	,	,	PUNCT
ejpam-6382	116	65	β	β	X
ejpam-6382	116	66	,	,	PUNCT
ejpam-6382	116	67	m	m	PROPN
ejpam-6382	116	68	,	,	PUNCT
ejpam-6382	116	69	k	k	NOUN
ejpam-6382	116	70	)	)	PUNCT
ejpam-6382	116	71	>	>	X
ejpam-6382	116	72	0	0	X
ejpam-6382	116	73	.	.	PUNCT
ejpam-6382	117	1	considering	consider	VERB
ejpam-6382	117	2	the	the	DET
ejpam-6382	117	3	pmf	pmf	NOUN
ejpam-6382	117	4	of	of	ADP
ejpam-6382	117	5	dfw(α	dfw(α	PROPN
ejpam-6382	117	6	,	,	PUNCT
ejpam-6382	117	7	β	β	X
ejpam-6382	117	8	,	,	PUNCT
ejpam-6382	117	9	m	m	PROPN
ejpam-6382	117	10	,	,	PUNCT
ejpam-6382	117	11	k	k	NOUN
ejpam-6382	117	12	)	)	PUNCT
ejpam-6382	117	13	as	as	ADP
ejpam-6382	117	14	in	in	ADP
ejpam-6382	117	15	eq.(2.3	eq.(2.3	NOUN
ejpam-6382	117	16	)	)	PUNCT
ejpam-6382	117	17	,	,	PUNCT
ejpam-6382	117	18	the	the	DET
ejpam-6382	117	19	denominator	denominator	NOUN
ejpam-6382	117	20	in	in	ADP
ejpam-6382	117	21	eq.(2.2	eq.(2.2	PROPN
ejpam-6382	117	22	)	)	PUNCT
ejpam-6382	117	23	can	can	AUX
ejpam-6382	117	24	be	be	AUX
ejpam-6382	117	25	written	write	VERB
ejpam-6382	117	26	as	as	ADP
ejpam-6382	117	27	e[y	e[y	NOUN
ejpam-6382	117	28	]	]	X
ejpam-6382	117	29	=	=	PUNCT
ejpam-6382	117	30	∞∑	∞∑	NUM
ejpam-6382	117	31	y=0	y=0	NOUN
ejpam-6382	117	32	y	y	NOUN
ejpam-6382	117	33	×	×	NOUN
ejpam-6382	117	34	p	p	PROPN
ejpam-6382	118	1	[	[	X
ejpam-6382	118	2	y	y	PROPN
ejpam-6382	118	3	=	=	SYM
ejpam-6382	118	4	y	y	PROPN
ejpam-6382	118	5	;	;	PUNCT
ejpam-6382	118	6	ξ	ξ	X
ejpam-6382	118	7	]	]	PUNCT
ejpam-6382	118	8	=	=	SYM
ejpam-6382	118	9	∞∑	∞∑	NUM
ejpam-6382	118	10	y=0	y=0	NOUN
ejpam-6382	118	11	y	y	PROPN
ejpam-6382	118	12	×	×	PROPN
ejpam-6382	118	13	exp	exp	NOUN
ejpam-6382	118	14	{	{	PUNCT
ejpam-6382	118	15	−βα	−βα	PROPN
ejpam-6382	118	16	(	(	PUNCT
ejpam-6382	118	17	m	m	VERB
ejpam-6382	118	18	y	y	NOUN
ejpam-6382	118	19	+	+	ADJ
ejpam-6382	118	20	1	1	NUM
ejpam-6382	118	21	)	)	PUNCT
ejpam-6382	118	22	αk	αk	ADP
ejpam-6382	118	23	}	}	PUNCT
ejpam-6382	118	24	−	−	PROPN
ejpam-6382	118	25	exp	exp	NOUN
ejpam-6382	118	26	{	{	PUNCT
ejpam-6382	118	27	−βα	−βα	PROPN
ejpam-6382	118	28	(	(	PUNCT
ejpam-6382	118	29	m	m	VERB
ejpam-6382	118	30	y	y	NOUN
ejpam-6382	118	31	)	)	PUNCT
ejpam-6382	118	32	αk	αk	ADP
ejpam-6382	118	33	}	}	PUNCT
ejpam-6382	118	34	d.	d.	PROPN
ejpam-6382	118	35	das	das	PROPN
ejpam-6382	118	36	et	et	PROPN
ejpam-6382	118	37	al	al	PROPN
ejpam-6382	118	38	.	.	PUNCT
ejpam-6382	118	39	/	/	SYM
ejpam-6382	118	40	eur	eur	PROPN
ejpam-6382	118	41	.	.	PUNCT
ejpam-6382	119	1	j.	j.	PROPN
ejpam-6382	119	2	pure	pure	PROPN
ejpam-6382	119	3	appl	appl	PROPN
ejpam-6382	119	4	.	.	PROPN
ejpam-6382	119	5	math	math	PROPN
ejpam-6382	119	6	,	,	PUNCT
ejpam-6382	119	7	18	18	NUM
ejpam-6382	119	8	(	(	PUNCT
ejpam-6382	119	9	3	3	NUM
ejpam-6382	119	10	)	)	PUNCT
ejpam-6382	119	11	(	(	PUNCT
ejpam-6382	119	12	2025	2025	NUM
ejpam-6382	119	13	)	)	PUNCT
ejpam-6382	119	14	,	,	PUNCT
ejpam-6382	119	15	6382	6382	NUM
ejpam-6382	119	16	6	6	NUM
ejpam-6382	119	17	of	of	ADP
ejpam-6382	119	18	29	29	NUM
ejpam-6382	119	19	=	=	SYM
ejpam-6382	119	20	∞∑	∞∑	NUM
ejpam-6382	119	21	y=0	y=0	NOUN
ejpam-6382	119	22	q(y	q(y	PROPN
ejpam-6382	119	23	;	;	PUNCT
ejpam-6382	119	24	ξ	ξ	X
ejpam-6382	119	25	)	)	PUNCT
ejpam-6382	119	26	=	=	PUNCT
ejpam-6382	119	27	q(y	q(y	X
ejpam-6382	119	28	;	;	PUNCT
ejpam-6382	119	29	ξ	ξ	X
ejpam-6382	119	30	)	)	PUNCT
ejpam-6382	119	31	,	,	PUNCT
ejpam-6382	119	32	(	(	PUNCT
ejpam-6382	119	33	2.4	2.4	NUM
ejpam-6382	119	34	)	)	PUNCT
ejpam-6382	120	1	where	where	SCONJ
ejpam-6382	120	2	y	y	PROPN
ejpam-6382	120	3	∈	∈	PROPN
ejpam-6382	120	4	z+	z+	NUM
ejpam-6382	120	5	and	and	CCONJ
ejpam-6382	120	6	the	the	DET
ejpam-6382	120	7	parameter	parameter	NOUN
ejpam-6382	120	8	vector	vector	NOUN
ejpam-6382	120	9	ξ	ξ	PROPN
ejpam-6382	120	10	=	=	SYM
ejpam-6382	120	11	(	(	PUNCT
ejpam-6382	120	12	α	α	X
ejpam-6382	120	13	,	,	PUNCT
ejpam-6382	120	14	β	β	X
ejpam-6382	120	15	,	,	PUNCT
ejpam-6382	120	16	m	m	PROPN
ejpam-6382	120	17	,	,	PUNCT
ejpam-6382	120	18	k	k	NOUN
ejpam-6382	120	19	)	)	PUNCT
ejpam-6382	121	1	.	.	PUNCT
ejpam-6382	122	1	further	far	ADV
ejpam-6382	122	2	,	,	PUNCT
ejpam-6382	122	3	q(y	q(y	X
ejpam-6382	122	4	;	;	PUNCT
ejpam-6382	122	5	ξ	ξ	X
ejpam-6382	122	6	)	)	PUNCT
ejpam-6382	122	7	=	=	SYM
ejpam-6382	122	8	y	y	PROPN
ejpam-6382	122	9	×	×	NOUN
ejpam-6382	122	10	[	[	PUNCT
ejpam-6382	122	11	exp	exp	X
ejpam-6382	122	12	{	{	PUNCT
ejpam-6382	122	13	−βα	−βα	PROPN
ejpam-6382	122	14	(	(	PUNCT
ejpam-6382	122	15	m	m	VERB
ejpam-6382	122	16	y	y	NOUN
ejpam-6382	122	17	+	+	ADJ
ejpam-6382	122	18	1	1	NUM
ejpam-6382	122	19	)	)	PUNCT
ejpam-6382	122	20	αk	αk	ADP
ejpam-6382	122	21	}	}	PUNCT
ejpam-6382	122	22	−	−	PROPN
ejpam-6382	122	23	exp	exp	NOUN
ejpam-6382	122	24	{	{	PUNCT
ejpam-6382	122	25	−βα	−βα	PROPN
ejpam-6382	122	26	(	(	PUNCT
ejpam-6382	122	27	m	m	VERB
ejpam-6382	122	28	y	y	NOUN
ejpam-6382	122	29	)	)	PUNCT
ejpam-6382	122	30	αk	αk	ADP
ejpam-6382	122	31	}	}	PUNCT
ejpam-6382	122	32	]	]	PUNCT
ejpam-6382	122	33	,	,	PUNCT
ejpam-6382	122	34	(	(	PUNCT
ejpam-6382	122	35	2.5	2.5	NUM
ejpam-6382	122	36	)	)	PUNCT
ejpam-6382	122	37	and	and	CCONJ
ejpam-6382	122	38	the	the	DET
ejpam-6382	122	39	summation	summation	NOUN
ejpam-6382	122	40	of	of	ADP
ejpam-6382	122	41	the	the	DET
ejpam-6382	122	42	term	term	NOUN
ejpam-6382	122	43	q(y	q(y	X
ejpam-6382	122	44	;	;	PUNCT
ejpam-6382	122	45	ξ	ξ	X
ejpam-6382	122	46	)	)	PUNCT
ejpam-6382	122	47	over	over	ADP
ejpam-6382	122	48	the	the	DET
ejpam-6382	122	49	entire	entire	ADJ
ejpam-6382	122	50	range	range	NOUN
ejpam-6382	122	51	of	of	ADP
ejpam-6382	122	52	z+	z+	NUM
ejpam-6382	122	53	can	can	AUX
ejpam-6382	122	54	not	not	PART
ejpam-6382	122	55	be	be	AUX
ejpam-6382	122	56	written	write	VERB
ejpam-6382	122	57	in	in	ADP
ejpam-6382	122	58	closed	closed	ADJ
ejpam-6382	122	59	form	form	NOUN
ejpam-6382	122	60	and	and	CCONJ
ejpam-6382	122	61	is	be	AUX
ejpam-6382	122	62	termed	term	VERB
ejpam-6382	122	63	as	as	ADP
ejpam-6382	122	64	q(s	q(s	PROPN
ejpam-6382	122	65	;	;	PUNCT
ejpam-6382	122	66	ξ	ξ	X
ejpam-6382	122	67	)	)	PUNCT
ejpam-6382	122	68	.	.	PUNCT
ejpam-6382	123	1	let	let	VERB
ejpam-6382	123	2	yl	yl	NOUN
ejpam-6382	123	3	denote	denote	VERB
ejpam-6382	123	4	the	the	DET
ejpam-6382	123	5	length	length	NOUN
ejpam-6382	123	6	-	-	PUNCT
ejpam-6382	123	7	biased	bias	VERB
ejpam-6382	123	8	version	version	NOUN
ejpam-6382	123	9	of	of	ADP
ejpam-6382	123	10	the	the	DET
ejpam-6382	123	11	random	random	ADJ
ejpam-6382	123	12	variable	variable	NOUN
ejpam-6382	123	13	y	y	NOUN
ejpam-6382	123	14	∼	∼	NOUN
ejpam-6382	123	15	dfw(α	dfw(α	PROPN
ejpam-6382	123	16	,	,	PUNCT
ejpam-6382	123	17	β	β	X
ejpam-6382	123	18	,	,	PUNCT
ejpam-6382	123	19	m	m	PROPN
ejpam-6382	123	20	,	,	PUNCT
ejpam-6382	123	21	k	k	PROPN
ejpam-6382	123	22	)	)	PUNCT
ejpam-6382	123	23	,	,	PUNCT
ejpam-6382	123	24	named	name	VERB
ejpam-6382	123	25	as	as	ADP
ejpam-6382	123	26	lbdfw	lbdfw	NOUN
ejpam-6382	123	27	model	model	NOUN
ejpam-6382	123	28	,	,	PUNCT
ejpam-6382	123	29	then	then	ADV
ejpam-6382	123	30	its	its	PRON
ejpam-6382	123	31	pmf	pmf	NOUN
ejpam-6382	123	32	is	be	AUX
ejpam-6382	123	33	given	give	VERB
ejpam-6382	123	34	by	by	ADP
ejpam-6382	123	35	pl[yl	pl[yl	NOUN
ejpam-6382	124	1	=	=	SYM
ejpam-6382	124	2	y	y	NOUN
ejpam-6382	124	3	]	]	X
ejpam-6382	125	1	=	=	PUNCT
ejpam-6382	125	2	y	y	NUM
ejpam-6382	125	3	×	×	NOUN
ejpam-6382	125	4	p	p	X
ejpam-6382	126	1	[	[	X
ejpam-6382	126	2	y	y	PROPN
ejpam-6382	126	3	=	=	SYM
ejpam-6382	126	4	y	y	PROPN
ejpam-6382	126	5	;	;	PUNCT
ejpam-6382	126	6	ξ]∑	ξ]∑	PROPN
ejpam-6382	126	7	y	y	PROPN
ejpam-6382	126	8	y	y	PROPN
ejpam-6382	126	9	×	×	NOUN
ejpam-6382	127	1	p	p	X
ejpam-6382	127	2	[	[	X
ejpam-6382	127	3	y	y	PROPN
ejpam-6382	127	4	=	=	SYM
ejpam-6382	127	5	y	y	PROPN
ejpam-6382	127	6	;	;	PUNCT
ejpam-6382	127	7	ξ	ξ	X
ejpam-6382	127	8	]	]	PUNCT
ejpam-6382	127	9	;	;	PUNCT
ejpam-6382	127	10	y	y	PROPN
ejpam-6382	127	11	∈	∈	PROPN
ejpam-6382	127	12	z+	z+	NUM
ejpam-6382	127	13	=	=	SYM
ejpam-6382	127	14	q(y	q(y	X
ejpam-6382	127	15	;	;	PUNCT
ejpam-6382	127	16	ξ	ξ	X
ejpam-6382	127	17	)	)	PUNCT
ejpam-6382	127	18	q(y	q(y	NOUN
ejpam-6382	127	19	;	;	PUNCT
ejpam-6382	127	20	ξ	ξ	X
ejpam-6382	127	21	)	)	PUNCT
ejpam-6382	127	22	=	=	SYM
ejpam-6382	127	23	p	p	X
ejpam-6382	127	24	(	(	PUNCT
ejpam-6382	127	25	y	y	NOUN
ejpam-6382	127	26	;	;	PUNCT
ejpam-6382	127	27	ξ	ξ	X
ejpam-6382	127	28	)	)	PUNCT
ejpam-6382	127	29	,	,	PUNCT
ejpam-6382	127	30	(	(	PUNCT
ejpam-6382	127	31	2.6	2.6	NUM
ejpam-6382	127	32	)	)	PUNCT
ejpam-6382	127	33	where	where	SCONJ
ejpam-6382	127	34	y	y	PROPN
ejpam-6382	127	35	∈	∈	PROPN
ejpam-6382	127	36	z+	z+	NUM
ejpam-6382	127	37	and	and	CCONJ
ejpam-6382	127	38	the	the	DET
ejpam-6382	127	39	parameter	parameter	NOUN
ejpam-6382	127	40	vector	vector	NOUN
ejpam-6382	127	41	ξ	ξ	PROPN
ejpam-6382	127	42	=	=	SYM
ejpam-6382	127	43	(	(	PUNCT
ejpam-6382	127	44	α	α	X
ejpam-6382	127	45	,	,	PUNCT
ejpam-6382	127	46	β	β	X
ejpam-6382	127	47	,	,	PUNCT
ejpam-6382	127	48	m	m	PROPN
ejpam-6382	127	49	,	,	PUNCT
ejpam-6382	127	50	k	k	NOUN
ejpam-6382	127	51	)	)	PUNCT
ejpam-6382	127	52	.	.	PUNCT
ejpam-6382	128	1	and	and	CCONJ
ejpam-6382	128	2	the	the	DET
ejpam-6382	128	3	terms	term	NOUN
ejpam-6382	128	4	q(y	q(y	X
ejpam-6382	128	5	;	;	PUNCT
ejpam-6382	128	6	ξ	ξ	X
ejpam-6382	128	7	)	)	PUNCT
ejpam-6382	128	8	and	and	CCONJ
ejpam-6382	128	9	q(y	q(y	PROPN
ejpam-6382	128	10	;	;	PUNCT
ejpam-6382	128	11	ξ	ξ	X
ejpam-6382	128	12	)	)	PUNCT
ejpam-6382	128	13	is	be	AUX
ejpam-6382	128	14	as	as	SCONJ
ejpam-6382	128	15	defined	define	VERB
ejpam-6382	128	16	in	in	ADP
ejpam-6382	128	17	eq.(2.5	eq.(2.5	PROPN
ejpam-6382	128	18	)	)	PUNCT
ejpam-6382	128	19	and	and	CCONJ
ejpam-6382	128	20	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	128	21	)	)	PUNCT
ejpam-6382	128	22	respectively	respectively	ADV
ejpam-6382	128	23	.	.	PUNCT
ejpam-6382	129	1	for	for	ADP
ejpam-6382	129	2	lbdfw	lbdfw	ADJ
ejpam-6382	129	3	distribution	distribution	NOUN
ejpam-6382	129	4	also	also	ADV
ejpam-6382	129	5	,	,	PUNCT
ejpam-6382	129	6	α	α	PROPN
ejpam-6382	129	7	and	and	CCONJ
ejpam-6382	129	8	k	k	PROPN
ejpam-6382	129	9	are	be	AUX
ejpam-6382	129	10	the	the	DET
ejpam-6382	129	11	shape	shape	NOUN
ejpam-6382	129	12	parameters	parameter	NOUN
ejpam-6382	129	13	and	and	CCONJ
ejpam-6382	129	14	β	β	PROPN
ejpam-6382	129	15	and	and	CCONJ
ejpam-6382	129	16	m	m	PROPN
ejpam-6382	129	17	are	be	AUX
ejpam-6382	129	18	the	the	DET
ejpam-6382	129	19	scale	scale	NOUN
ejpam-6382	129	20	parameters	parameter	NOUN
ejpam-6382	129	21	.	.	PUNCT
ejpam-6382	130	1	the	the	DET
ejpam-6382	130	2	cumulative	cumulative	ADJ
ejpam-6382	130	3	distribution	distribution	NOUN
ejpam-6382	130	4	function	function	NOUN
ejpam-6382	130	5	(	(	PUNCT
ejpam-6382	130	6	cdf	cdf	PROPN
ejpam-6382	130	7	)	)	PUNCT
ejpam-6382	130	8	of	of	ADP
ejpam-6382	130	9	the	the	DET
ejpam-6382	130	10	lbdfw	lbdfw	ADJ
ejpam-6382	130	11	distribution	distribution	NOUN
ejpam-6382	130	12	is	be	AUX
ejpam-6382	130	13	given	give	VERB
ejpam-6382	130	14	by	by	ADP
ejpam-6382	130	15	fl(y	fl(y	NOUN
ejpam-6382	130	16	)	)	PUNCT
ejpam-6382	130	17	=	=	PRON
ejpam-6382	130	18	pl[yl	pl[yl	VERB
ejpam-6382	130	19	≤	≤	NUM
ejpam-6382	130	20	y	y	NOUN
ejpam-6382	130	21	]	]	X
ejpam-6382	130	22	=	=	PUNCT
ejpam-6382	131	1	y∑	y∑	PROPN
ejpam-6382	131	2	s=0	s=0	X
ejpam-6382	131	3	pl[yl	pl[yl	VERB
ejpam-6382	132	1	=	=	SYM
ejpam-6382	132	2	s	s	X
ejpam-6382	132	3	]	]	X
ejpam-6382	132	4	=	=	PUNCT
ejpam-6382	132	5	y∑	y∑	PROPN
ejpam-6382	132	6	s=0	s=0	X
ejpam-6382	132	7	q(s	q(s	VERB
ejpam-6382	132	8	;	;	PUNCT
ejpam-6382	132	9	ξ	ξ	X
ejpam-6382	132	10	)	)	PUNCT
ejpam-6382	132	11	q(s	q(s	PROPN
ejpam-6382	132	12	;	;	PUNCT
ejpam-6382	132	13	ξ	ξ	X
ejpam-6382	132	14	)	)	PUNCT
ejpam-6382	132	15	=	=	PUNCT
ejpam-6382	132	16	∑y	∑y	PROPN
ejpam-6382	132	17	s=0	s=0	X
ejpam-6382	132	18	q(s	q(s	NOUN
ejpam-6382	132	19	;	;	PUNCT
ejpam-6382	132	20	ξ	ξ	X
ejpam-6382	132	21	)	)	PUNCT
ejpam-6382	132	22	q(s	q(s	PROPN
ejpam-6382	132	23	;	;	PUNCT
ejpam-6382	132	24	ξ	ξ	X
ejpam-6382	132	25	)	)	PUNCT
ejpam-6382	132	26	=	=	SYM
ejpam-6382	132	27	v	v	X
ejpam-6382	132	28	(	(	PUNCT
ejpam-6382	132	29	y	y	NOUN
ejpam-6382	132	30	;	;	PUNCT
ejpam-6382	132	31	ξ	ξ	X
ejpam-6382	132	32	)	)	PUNCT
ejpam-6382	132	33	q(y	q(y	NOUN
ejpam-6382	132	34	;	;	PUNCT
ejpam-6382	132	35	ξ	ξ	X
ejpam-6382	132	36	)	)	PUNCT
ejpam-6382	132	37	=	=	SYM
ejpam-6382	132	38	c(y	c(y	PROPN
ejpam-6382	132	39	;	;	PUNCT
ejpam-6382	132	40	ξ	ξ	X
ejpam-6382	132	41	)	)	PUNCT
ejpam-6382	132	42	,	,	PUNCT
ejpam-6382	132	43	(	(	PUNCT
ejpam-6382	132	44	2.7	2.7	NUM
ejpam-6382	132	45	)	)	PUNCT
ejpam-6382	132	46	where	where	SCONJ
ejpam-6382	132	47	s	s	VERB
ejpam-6382	132	48	∈	∈	PROPN
ejpam-6382	132	49	z+	z+	PUNCT
ejpam-6382	132	50	.	.	PUNCT
ejpam-6382	132	51	further	far	ADV
ejpam-6382	132	52	,	,	PUNCT
ejpam-6382	132	53	the	the	DET
ejpam-6382	132	54	term	term	NOUN
ejpam-6382	132	55	q(s	q(s	NOUN
ejpam-6382	132	56	;	;	PUNCT
ejpam-6382	132	57	ξ	ξ	X
ejpam-6382	132	58	)	)	PUNCT
ejpam-6382	132	59	is	be	AUX
ejpam-6382	132	60	as	as	SCONJ
ejpam-6382	132	61	defined	define	VERB
ejpam-6382	132	62	in	in	ADP
ejpam-6382	132	63	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	132	64	)	)	PUNCT
ejpam-6382	132	65	.	.	PUNCT
ejpam-6382	133	1	the	the	DET
ejpam-6382	133	2	survival	survival	NOUN
ejpam-6382	133	3	function	function	NOUN
ejpam-6382	133	4	(	(	PUNCT
ejpam-6382	133	5	sf	sf	PROPN
ejpam-6382	133	6	)	)	PUNCT
ejpam-6382	133	7	of	of	ADP
ejpam-6382	133	8	lbdfw	lbdfw	ADJ
ejpam-6382	133	9	distribution	distribution	NOUN
ejpam-6382	133	10	is	be	AUX
ejpam-6382	133	11	given	give	VERB
ejpam-6382	133	12	by	by	ADP
ejpam-6382	133	13	sl(y	sl(y	NOUN
ejpam-6382	133	14	)	)	PUNCT
ejpam-6382	133	15	=	=	PRON
ejpam-6382	133	16	pl[yl	pl[yl	VERB
ejpam-6382	133	17	≥	≥	NOUN
ejpam-6382	133	18	y	y	X
ejpam-6382	133	19	]	]	X
ejpam-6382	133	20	=	=	SYM
ejpam-6382	133	21	1−	1−	NUM
ejpam-6382	133	22	fl(y	fl(y	NOUN
ejpam-6382	133	23	)	)	PUNCT
ejpam-6382	133	24	=	=	SYM
ejpam-6382	133	25	1−	1−	NUM
ejpam-6382	133	26	c(y	c(y	PROPN
ejpam-6382	133	27	;	;	PUNCT
ejpam-6382	133	28	ξ	ξ	X
ejpam-6382	133	29	)	)	PUNCT
ejpam-6382	133	30	=	=	SYM
ejpam-6382	133	31	1−	1−	NUM
ejpam-6382	133	32	v	v	NOUN
ejpam-6382	133	33	(	(	PUNCT
ejpam-6382	133	34	y	y	NOUN
ejpam-6382	133	35	;	;	PUNCT
ejpam-6382	133	36	ξ	ξ	X
ejpam-6382	133	37	)	)	PUNCT
ejpam-6382	133	38	q(y	q(y	NOUN
ejpam-6382	133	39	;	;	PUNCT
ejpam-6382	133	40	ξ	ξ	X
ejpam-6382	133	41	)	)	PUNCT
ejpam-6382	133	42	=	=	SYM
ejpam-6382	133	43	s(y	s(y	PROPN
ejpam-6382	133	44	;	;	PUNCT
ejpam-6382	133	45	ξ	ξ	X
ejpam-6382	133	46	)	)	PUNCT
ejpam-6382	133	47	,	,	PUNCT
ejpam-6382	133	48	(	(	PUNCT
ejpam-6382	133	49	2.8	2.8	NUM
ejpam-6382	133	50	)	)	PUNCT
ejpam-6382	134	1	where	where	SCONJ
ejpam-6382	134	2	y	y	PROPN
ejpam-6382	134	3	∈	∈	PROPN
ejpam-6382	134	4	z+	z+	PUNCT
ejpam-6382	134	5	.	.	PUNCT
ejpam-6382	135	1	moreover	moreover	ADV
ejpam-6382	135	2	,	,	PUNCT
ejpam-6382	135	3	the	the	DET
ejpam-6382	135	4	terms	term	NOUN
ejpam-6382	135	5	q(y	q(y	X
ejpam-6382	135	6	;	;	PUNCT
ejpam-6382	135	7	ξ	ξ	X
ejpam-6382	135	8	)	)	PUNCT
ejpam-6382	135	9	,	,	PUNCT
ejpam-6382	135	10	q(y	q(y	X
ejpam-6382	135	11	;	;	PUNCT
ejpam-6382	135	12	ξ	ξ	X
ejpam-6382	135	13	)	)	PUNCT
ejpam-6382	135	14	and	and	CCONJ
ejpam-6382	135	15	v	v	X
ejpam-6382	135	16	(	(	PUNCT
ejpam-6382	135	17	y	y	NOUN
ejpam-6382	135	18	;	;	PUNCT
ejpam-6382	135	19	ξ	ξ	X
ejpam-6382	135	20	)	)	PUNCT
ejpam-6382	135	21	are	be	AUX
ejpam-6382	135	22	as	as	ADV
ejpam-6382	135	23	defined	define	VERB
ejpam-6382	135	24	in	in	ADP
ejpam-6382	135	25	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	135	26	)	)	PUNCT
ejpam-6382	135	27	,	,	PUNCT
ejpam-6382	135	28	eq.(2.5	eq.(2.5	PROPN
ejpam-6382	135	29	)	)	PUNCT
ejpam-6382	135	30	and	and	CCONJ
ejpam-6382	135	31	eq.(2.7	eq.(2.7	NUM
ejpam-6382	135	32	)	)	PUNCT
ejpam-6382	135	33	,	,	PUNCT
ejpam-6382	135	34	respectively	respectively	ADV
ejpam-6382	135	35	.	.	PUNCT
ejpam-6382	136	1	the	the	DET
ejpam-6382	136	2	hazard	hazard	NOUN
ejpam-6382	136	3	rate	rate	NOUN
ejpam-6382	136	4	function	function	NOUN
ejpam-6382	136	5	(	(	PUNCT
ejpam-6382	136	6	hrf	hrf	PROPN
ejpam-6382	136	7	)	)	PUNCT
ejpam-6382	136	8	of	of	ADP
ejpam-6382	136	9	lbdfw	lbdfw	ADJ
ejpam-6382	136	10	distribution	distribution	NOUN
ejpam-6382	136	11	is	be	AUX
ejpam-6382	136	12	given	give	VERB
ejpam-6382	136	13	by	by	ADP
ejpam-6382	136	14	hl(y	hl(y	NOUN
ejpam-6382	136	15	)	)	PUNCT
ejpam-6382	136	16	=	=	SYM
ejpam-6382	137	1	pl[yl	pl[yl	NOUN
ejpam-6382	137	2	=	=	SYM
ejpam-6382	137	3	y	y	NOUN
ejpam-6382	137	4	]	]	PUNCT
ejpam-6382	137	5	sl(y	sl(y	ADJ
ejpam-6382	137	6	)	)	PUNCT
ejpam-6382	137	7	=	=	SYM
ejpam-6382	138	1	p	p	X
ejpam-6382	138	2	(	(	PUNCT
ejpam-6382	138	3	y	y	NOUN
ejpam-6382	138	4	;	;	PUNCT
ejpam-6382	138	5	ξ	ξ	X
ejpam-6382	138	6	)	)	PUNCT
ejpam-6382	138	7	s(y	s(y	PROPN
ejpam-6382	138	8	;	;	PUNCT
ejpam-6382	138	9	ξ	ξ	X
ejpam-6382	138	10	)	)	PUNCT
ejpam-6382	138	11	=	=	SYM
ejpam-6382	138	12	h(y	h(y	NOUN
ejpam-6382	138	13	;	;	PUNCT
ejpam-6382	138	14	ξ	ξ	X
ejpam-6382	138	15	)	)	PUNCT
ejpam-6382	138	16	,	,	PUNCT
ejpam-6382	138	17	d.	d.	PROPN
ejpam-6382	138	18	das	das	PROPN
ejpam-6382	138	19	et	et	PROPN
ejpam-6382	138	20	al	al	PROPN
ejpam-6382	138	21	.	.	PUNCT
ejpam-6382	138	22	/	/	SYM
ejpam-6382	138	23	eur	eur	PROPN
ejpam-6382	138	24	.	.	PUNCT
ejpam-6382	139	1	j.	j.	PROPN
ejpam-6382	139	2	pure	pure	PROPN
ejpam-6382	139	3	appl	appl	PROPN
ejpam-6382	139	4	.	.	PROPN
ejpam-6382	139	5	math	math	PROPN
ejpam-6382	139	6	,	,	PUNCT
ejpam-6382	139	7	18	18	NUM
ejpam-6382	139	8	(	(	PUNCT
ejpam-6382	139	9	3	3	NUM
ejpam-6382	139	10	)	)	PUNCT
ejpam-6382	139	11	(	(	PUNCT
ejpam-6382	139	12	2025	2025	NUM
ejpam-6382	139	13	)	)	PUNCT
ejpam-6382	139	14	,	,	PUNCT
ejpam-6382	139	15	6382	6382	NUM
ejpam-6382	139	16	7	7	NUM
ejpam-6382	139	17	of	of	ADP
ejpam-6382	139	18	29	29	NUM
ejpam-6382	139	19	where	where	SCONJ
ejpam-6382	139	20	y	y	PROPN
ejpam-6382	139	21	∈	∈	PROPN
ejpam-6382	139	22	z+	z+	PUNCT
ejpam-6382	139	23	.	.	PUNCT
ejpam-6382	140	1	the	the	DET
ejpam-6382	140	2	terms	term	NOUN
ejpam-6382	140	3	p	p	X
ejpam-6382	140	4	(	(	PUNCT
ejpam-6382	140	5	y	y	NOUN
ejpam-6382	140	6	;	;	PUNCT
ejpam-6382	140	7	ξ	ξ	X
ejpam-6382	140	8	)	)	PUNCT
ejpam-6382	140	9	and	and	CCONJ
ejpam-6382	140	10	s(y	s(y	PROPN
ejpam-6382	140	11	;	;	PUNCT
ejpam-6382	140	12	ξ	ξ	X
ejpam-6382	140	13	)	)	PUNCT
ejpam-6382	140	14	are	be	AUX
ejpam-6382	140	15	as	as	ADV
ejpam-6382	140	16	defined	define	VERB
ejpam-6382	140	17	in	in	ADP
ejpam-6382	140	18	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	140	19	)	)	PUNCT
ejpam-6382	140	20	and	and	CCONJ
ejpam-6382	140	21	eq.(2.8	eq.(2.8	NUM
ejpam-6382	140	22	)	)	PUNCT
ejpam-6382	140	23	,	,	PUNCT
ejpam-6382	140	24	respectively	respectively	ADV
ejpam-6382	140	25	.	.	PUNCT
ejpam-6382	141	1	figure	figure	NOUN
ejpam-6382	141	2	1	1	NUM
ejpam-6382	141	3	illustrates	illustrate	VERB
ejpam-6382	141	4	the	the	DET
ejpam-6382	141	5	probability	probability	NOUN
ejpam-6382	141	6	mass	mass	NOUN
ejpam-6382	141	7	function	function	NOUN
ejpam-6382	141	8	of	of	ADP
ejpam-6382	141	9	the	the	DET
ejpam-6382	141	10	lbdfw	lbdfw	ADJ
ejpam-6382	141	11	distribution	distribution	NOUN
ejpam-6382	141	12	for	for	ADP
ejpam-6382	141	13	different	different	ADJ
ejpam-6382	141	14	parameter	parameter	NOUN
ejpam-6382	141	15	combinations	combination	NOUN
ejpam-6382	141	16	.	.	PUNCT
ejpam-6382	142	1	figure	figure	NOUN
ejpam-6382	142	2	2	2	NUM
ejpam-6382	142	3	visually	visually	ADV
ejpam-6382	142	4	demonstrates	demonstrate	VERB
ejpam-6382	142	5	the	the	DET
ejpam-6382	142	6	effect	effect	NOUN
ejpam-6382	142	7	of	of	ADP
ejpam-6382	142	8	increasing	increase	VERB
ejpam-6382	142	9	the	the	DET
ejpam-6382	142	10	shape	shape	NOUN
ejpam-6382	142	11	parameters	parameter	NOUN
ejpam-6382	142	12	(	(	PUNCT
ejpam-6382	142	13	α	α	NOUN
ejpam-6382	142	14	,	,	PUNCT
ejpam-6382	142	15	k	k	NOUN
ejpam-6382	142	16	)	)	PUNCT
ejpam-6382	142	17	and	and	CCONJ
ejpam-6382	142	18	scale	scale	NOUN
ejpam-6382	142	19	parameters	parameter	NOUN
ejpam-6382	142	20	(	(	PUNCT
ejpam-6382	142	21	β	β	X
ejpam-6382	142	22	,	,	PUNCT
ejpam-6382	142	23	k	k	NOUN
ejpam-6382	142	24	)	)	PUNCT
ejpam-6382	142	25	on	on	ADP
ejpam-6382	142	26	the	the	DET
ejpam-6382	142	27	pmf	pmf	NOUN
ejpam-6382	142	28	of	of	ADP
ejpam-6382	142	29	the	the	DET
ejpam-6382	142	30	lbdfw	lbdfw	ADJ
ejpam-6382	142	31	distribution	distribution	NOUN
ejpam-6382	142	32	.	.	PUNCT
ejpam-6382	143	1	additionally	additionally	ADV
ejpam-6382	143	2	,	,	PUNCT
ejpam-6382	143	3	in	in	ADP
ejpam-6382	143	4	figure	figure	NOUN
ejpam-6382	143	5	3	3	NUM
ejpam-6382	143	6	,	,	PUNCT
ejpam-6382	143	7	the	the	DET
ejpam-6382	143	8	possible	possible	ADJ
ejpam-6382	143	9	shapes	shape	NOUN
ejpam-6382	143	10	of	of	ADP
ejpam-6382	143	11	the	the	DET
ejpam-6382	143	12	hazard	hazard	NOUN
ejpam-6382	143	13	rate	rate	NOUN
ejpam-6382	143	14	function	function	NOUN
ejpam-6382	143	15	for	for	ADP
ejpam-6382	143	16	the	the	DET
ejpam-6382	143	17	lbdfw	lbdfw	ADJ
ejpam-6382	143	18	distribution	distribution	NOUN
ejpam-6382	143	19	are	be	AUX
ejpam-6382	143	20	portrayed	portray	VERB
ejpam-6382	143	21	.	.	PUNCT
ejpam-6382	144	1	figure	figure	VERB
ejpam-6382	144	2	1	1	NUM
ejpam-6382	144	3	:	:	PUNCT
ejpam-6382	144	4	the	the	DET
ejpam-6382	144	5	pmf	pmf	PROPN
ejpam-6382	144	6	plot	plot	NOUN
ejpam-6382	144	7	of	of	ADP
ejpam-6382	144	8	lbdfw	lbdfw	ADJ
ejpam-6382	144	9	distribution	distribution	NOUN
ejpam-6382	144	10	for	for	ADP
ejpam-6382	144	11	different	different	ADJ
ejpam-6382	144	12	values	value	NOUN
ejpam-6382	144	13	the	the	DET
ejpam-6382	144	14	parameter	parameter	NOUN
ejpam-6382	144	15	(	(	PUNCT
ejpam-6382	144	16	α	α	X
ejpam-6382	144	17	,	,	PUNCT
ejpam-6382	144	18	β	β	X
ejpam-6382	144	19	,	,	PUNCT
ejpam-6382	144	20	m	m	PROPN
ejpam-6382	144	21	,	,	PUNCT
ejpam-6382	144	22	k	k	NOUN
ejpam-6382	144	23	)	)	PUNCT
ejpam-6382	144	24	.	.	PUNCT
ejpam-6382	145	1	d.	d.	PROPN
ejpam-6382	145	2	das	das	PROPN
ejpam-6382	145	3	et	et	PROPN
ejpam-6382	145	4	al	al	PROPN
ejpam-6382	145	5	.	.	PUNCT
ejpam-6382	145	6	/	/	SYM
ejpam-6382	145	7	eur	eur	PROPN
ejpam-6382	145	8	.	.	PUNCT
ejpam-6382	146	1	j.	j.	PROPN
ejpam-6382	146	2	pure	pure	PROPN
ejpam-6382	146	3	appl	appl	PROPN
ejpam-6382	146	4	.	.	PROPN
ejpam-6382	146	5	math	math	PROPN
ejpam-6382	146	6	,	,	PUNCT
ejpam-6382	146	7	18	18	NUM
ejpam-6382	146	8	(	(	PUNCT
ejpam-6382	146	9	3	3	NUM
ejpam-6382	146	10	)	)	PUNCT
ejpam-6382	146	11	(	(	PUNCT
ejpam-6382	146	12	2025	2025	NUM
ejpam-6382	146	13	)	)	PUNCT
ejpam-6382	146	14	,	,	PUNCT
ejpam-6382	146	15	6382	6382	NUM
ejpam-6382	146	16	8	8	NUM
ejpam-6382	146	17	of	of	ADP
ejpam-6382	146	18	29	29	NUM
ejpam-6382	146	19	figure	figure	NOUN
ejpam-6382	146	20	2	2	NUM
ejpam-6382	146	21	:	:	PUNCT
ejpam-6382	146	22	impact	impact	NOUN
ejpam-6382	146	23	of	of	ADP
ejpam-6382	146	24	shape	shape	NOUN
ejpam-6382	146	25	and	and	CCONJ
ejpam-6382	146	26	scale	scale	NOUN
ejpam-6382	146	27	parameters	parameter	NOUN
ejpam-6382	146	28	in	in	ADP
ejpam-6382	146	29	the	the	DET
ejpam-6382	146	30	pmf	pmf	NOUN
ejpam-6382	146	31	plot	plot	NOUN
ejpam-6382	146	32	of	of	ADP
ejpam-6382	146	33	lbdfw	lbdfw	ADJ
ejpam-6382	146	34	distribution	distribution	NOUN
ejpam-6382	146	35	.	.	PUNCT
ejpam-6382	147	1	figure	figure	NOUN
ejpam-6382	147	2	1	1	NUM
ejpam-6382	147	3	portrays	portray	VERB
ejpam-6382	147	4	the	the	DET
ejpam-6382	147	5	various	various	ADJ
ejpam-6382	147	6	forms	form	NOUN
ejpam-6382	147	7	of	of	ADP
ejpam-6382	147	8	the	the	DET
ejpam-6382	147	9	lbdfw	lbdfw	ADJ
ejpam-6382	147	10	model	model	NOUN
ejpam-6382	147	11	,	,	PUNCT
ejpam-6382	147	12	which	which	PRON
ejpam-6382	147	13	can	can	AUX
ejpam-6382	147	14	be	be	AUX
ejpam-6382	147	15	unimodal	unimodal	ADJ
ejpam-6382	147	16	and	and	CCONJ
ejpam-6382	147	17	exhibit	exhibit	VERB
ejpam-6382	147	18	right	right	ADJ
ejpam-6382	147	19	skewness	skewness	NOUN
ejpam-6382	147	20	.	.	PUNCT
ejpam-6382	148	1	observations	observation	NOUN
ejpam-6382	148	2	from	from	ADP
ejpam-6382	148	3	figure	figure	NOUN
ejpam-6382	148	4	2	2	NUM
ejpam-6382	148	5	(	(	PUNCT
ejpam-6382	148	6	a	a	NOUN
ejpam-6382	148	7	)	)	PUNCT
ejpam-6382	148	8	and	and	CCONJ
ejpam-6382	148	9	(	(	PUNCT
ejpam-6382	148	10	d	d	X
ejpam-6382	148	11	)	)	PUNCT
ejpam-6382	148	12	reveal	reveal	VERB
ejpam-6382	148	13	that	that	SCONJ
ejpam-6382	148	14	an	an	DET
ejpam-6382	148	15	increase	increase	NOUN
ejpam-6382	148	16	in	in	ADP
ejpam-6382	148	17	the	the	DET
ejpam-6382	148	18	shape	shape	NOUN
ejpam-6382	148	19	parameters	parameter	NOUN
ejpam-6382	148	20	(	(	PUNCT
ejpam-6382	148	21	α	α	NOUN
ejpam-6382	148	22	and	and	CCONJ
ejpam-6382	148	23	k	k	NOUN
ejpam-6382	148	24	)	)	PUNCT
ejpam-6382	148	25	leads	lead	VERB
ejpam-6382	148	26	to	to	ADP
ejpam-6382	148	27	a	a	DET
ejpam-6382	148	28	higher	high	ADJ
ejpam-6382	148	29	peakedness	peakedness	NOUN
ejpam-6382	148	30	in	in	ADP
ejpam-6382	148	31	the	the	DET
ejpam-6382	148	32	pmf	pmf	NOUN
ejpam-6382	148	33	of	of	ADP
ejpam-6382	148	34	lbdfw	lbdfw	PROPN
ejpam-6382	148	35	.	.	PUNCT
ejpam-6382	149	1	conversely	conversely	ADV
ejpam-6382	149	2	,	,	PUNCT
ejpam-6382	149	3	figure	figure	NOUN
ejpam-6382	149	4	2	2	NUM
ejpam-6382	149	5	(	(	PUNCT
ejpam-6382	149	6	b	b	NOUN
ejpam-6382	149	7	)	)	PUNCT
ejpam-6382	149	8	and	and	CCONJ
ejpam-6382	149	9	(	(	PUNCT
ejpam-6382	149	10	c	c	X
ejpam-6382	149	11	)	)	PUNCT
ejpam-6382	149	12	show	show	VERB
ejpam-6382	149	13	that	that	SCONJ
ejpam-6382	149	14	as	as	SCONJ
ejpam-6382	149	15	the	the	DET
ejpam-6382	149	16	scale	scale	NOUN
ejpam-6382	149	17	parameters	parameter	NOUN
ejpam-6382	149	18	(	(	PUNCT
ejpam-6382	149	19	β	β	X
ejpam-6382	149	20	and	and	CCONJ
ejpam-6382	149	21	m	m	PROPN
ejpam-6382	149	22	)	)	PUNCT
ejpam-6382	149	23	grow	grow	VERB
ejpam-6382	149	24	,	,	PUNCT
ejpam-6382	149	25	the	the	DET
ejpam-6382	149	26	shape	shape	NOUN
ejpam-6382	149	27	of	of	ADP
ejpam-6382	149	28	the	the	DET
ejpam-6382	149	29	pmf	pmf	NOUN
ejpam-6382	149	30	of	of	ADP
ejpam-6382	149	31	lbdfw	lbdfw	PROPN
ejpam-6382	149	32	becomes	become	VERB
ejpam-6382	149	33	flatter	flatter	ADJ
ejpam-6382	149	34	.	.	PUNCT
ejpam-6382	150	1	in	in	ADP
ejpam-6382	150	2	figure	figure	NOUN
ejpam-6382	150	3	3	3	NUM
ejpam-6382	150	4	,	,	PUNCT
ejpam-6382	150	5	the	the	DET
ejpam-6382	150	6	hrf	hrf	PROPN
ejpam-6382	150	7	of	of	ADP
ejpam-6382	150	8	lbdfw	lbdfw	ADJ
ejpam-6382	150	9	distribution	distribution	NOUN
ejpam-6382	150	10	is	be	AUX
ejpam-6382	150	11	plotted	plot	VERB
ejpam-6382	150	12	for	for	ADP
ejpam-6382	150	13	various	various	ADJ
ejpam-6382	150	14	parameters	parameter	NOUN
ejpam-6382	150	15	(	(	PUNCT
ejpam-6382	150	16	α	α	X
ejpam-6382	150	17	,	,	PUNCT
ejpam-6382	150	18	β	β	X
ejpam-6382	150	19	,	,	PUNCT
ejpam-6382	150	20	m	m	PROPN
ejpam-6382	150	21	,	,	PUNCT
ejpam-6382	150	22	k	k	NOUN
ejpam-6382	150	23	)	)	PUNCT
ejpam-6382	150	24	.	.	PUNCT
ejpam-6382	151	1	figures	figure	VERB
ejpam-6382	151	2	3	3	NUM
ejpam-6382	151	3	depicts	depict	NOUN
ejpam-6382	151	4	that	that	SCONJ
ejpam-6382	151	5	,	,	PUNCT
ejpam-6382	151	6	depending	depend	VERB
ejpam-6382	151	7	on	on	ADP
ejpam-6382	151	8	the	the	DET
ejpam-6382	151	9	selected	select	VERB
ejpam-6382	151	10	values	value	NOUN
ejpam-6382	151	11	of	of	ADP
ejpam-6382	151	12	(	(	PUNCT
ejpam-6382	151	13	α	α	X
ejpam-6382	151	14	,	,	PUNCT
ejpam-6382	151	15	β	β	X
ejpam-6382	151	16	,	,	PUNCT
ejpam-6382	151	17	m	m	PROPN
ejpam-6382	151	18	,	,	PUNCT
ejpam-6382	151	19	k	k	PROPN
ejpam-6382	151	20	)	)	PUNCT
ejpam-6382	151	21	,	,	PUNCT
ejpam-6382	151	22	the	the	DET
ejpam-6382	151	23	lbdfw	lbdfw	ADJ
ejpam-6382	151	24	model	model	NOUN
ejpam-6382	151	25	can	can	AUX
ejpam-6382	151	26	display	display	VERB
ejpam-6382	151	27	increasing	increase	VERB
ejpam-6382	151	28	,	,	PUNCT
ejpam-6382	151	29	increasingdecreasing	increasingdecreasing	NOUN
ejpam-6382	151	30	-	-	PUNCT
ejpam-6382	151	31	increasing	increase	VERB
ejpam-6382	151	32	,	,	PUNCT
ejpam-6382	151	33	or	or	CCONJ
ejpam-6382	151	34	up	up	ADP
ejpam-6382	151	35	-	-	PUNCT
ejpam-6382	151	36	side	side	NOUN
ejpam-6382	151	37	-	-	PUNCT
ejpam-6382	151	38	down	down	ADP
ejpam-6382	151	39	bathtub	bathtub	NOUN
ejpam-6382	151	40	shaped	shape	VERB
ejpam-6382	151	41	hazard	hazard	NOUN
ejpam-6382	151	42	rate	rate	NOUN
ejpam-6382	151	43	functions	function	NOUN
ejpam-6382	151	44	.	.	PUNCT
ejpam-6382	152	1	3	3	X
ejpam-6382	152	2	.	.	X
ejpam-6382	152	3	statistical	statistical	ADJ
ejpam-6382	152	4	properties	property	NOUN
ejpam-6382	152	5	3.1	3.1	NUM
ejpam-6382	152	6	.	.	PUNCT
ejpam-6382	153	1	monotonic	monotonic	ADJ
ejpam-6382	153	2	property	property	NOUN
ejpam-6382	153	3	determination	determination	NOUN
ejpam-6382	153	4	of	of	ADP
ejpam-6382	153	5	log	log	NOUN
ejpam-6382	153	6	-	-	PUNCT
ejpam-6382	153	7	convex	convex	NOUN
ejpam-6382	153	8	or	or	CCONJ
ejpam-6382	153	9	log	log	NOUN
ejpam-6382	153	10	-	-	PUNCT
ejpam-6382	153	11	concave	concave	NOUN
ejpam-6382	153	12	behavior	behavior	NOUN
ejpam-6382	153	13	of	of	ADP
ejpam-6382	153	14	a	a	DET
ejpam-6382	153	15	distribution	distribution	NOUN
ejpam-6382	153	16	,	,	PUNCT
ejpam-6382	153	17	enables	enable	VERB
ejpam-6382	153	18	us	we	PRON
ejpam-6382	153	19	to	to	PART
ejpam-6382	153	20	infer	infer	VERB
ejpam-6382	153	21	about	about	ADP
ejpam-6382	153	22	the	the	DET
ejpam-6382	153	23	monotonic	monotonic	ADJ
ejpam-6382	153	24	property	property	NOUN
ejpam-6382	153	25	of	of	ADP
ejpam-6382	153	26	the	the	DET
ejpam-6382	153	27	failure	failure	NOUN
ejpam-6382	153	28	rate	rate	NOUN
ejpam-6382	153	29	.	.	PUNCT
ejpam-6382	154	1	also	also	ADV
ejpam-6382	154	2	,	,	PUNCT
ejpam-6382	154	3	it	it	PRON
ejpam-6382	154	4	is	be	AUX
ejpam-6382	154	5	known	know	VERB
ejpam-6382	154	6	that	that	SCONJ
ejpam-6382	154	7	,	,	PUNCT
ejpam-6382	154	8	if	if	SCONJ
ejpam-6382	154	9	a	a	DET
ejpam-6382	154	10	discrete	discrete	ADJ
ejpam-6382	154	11	distribution	distribution	NOUN
ejpam-6382	154	12	is	be	AUX
ejpam-6382	154	13	log	log	NOUN
ejpam-6382	154	14	-	-	PUNCT
ejpam-6382	154	15	convex	convex	NOUN
ejpam-6382	154	16	then	then	ADV
ejpam-6382	154	17	the	the	DET
ejpam-6382	154	18	hazard	hazard	NOUN
ejpam-6382	154	19	rate	rate	NOUN
ejpam-6382	154	20	function	function	NOUN
ejpam-6382	154	21	will	will	AUX
ejpam-6382	154	22	decrease	decrease	VERB
ejpam-6382	154	23	,	,	PUNCT
ejpam-6382	154	24	and	and	CCONJ
ejpam-6382	154	25	if	if	SCONJ
ejpam-6382	154	26	log	log	NOUN
ejpam-6382	154	27	-	-	PUNCT
ejpam-6382	154	28	concave	concave	NOUN
ejpam-6382	154	29	then	then	ADV
ejpam-6382	154	30	the	the	DET
ejpam-6382	154	31	hazard	hazard	NOUN
ejpam-6382	154	32	rate	rate	NOUN
ejpam-6382	154	33	function	function	NOUN
ejpam-6382	154	34	will	will	AUX
ejpam-6382	154	35	increase	increase	VERB
ejpam-6382	154	36	.	.	PUNCT
ejpam-6382	155	1	to	to	PART
ejpam-6382	155	2	prove	prove	VERB
ejpam-6382	155	3	that	that	SCONJ
ejpam-6382	155	4	the	the	DET
ejpam-6382	155	5	distribution	distribution	NOUN
ejpam-6382	155	6	is	be	AUX
ejpam-6382	155	7	log	log	NOUN
ejpam-6382	155	8	-	-	PUNCT
ejpam-6382	155	9	convex	convex	NOUN
ejpam-6382	155	10	,	,	PUNCT
ejpam-6382	155	11	d.	d.	PROPN
ejpam-6382	155	12	das	das	PROPN
ejpam-6382	155	13	et	et	PROPN
ejpam-6382	155	14	al	al	PROPN
ejpam-6382	155	15	.	.	PUNCT
ejpam-6382	155	16	/	/	SYM
ejpam-6382	155	17	eur	eur	PROPN
ejpam-6382	155	18	.	.	PUNCT
ejpam-6382	156	1	j.	j.	PROPN
ejpam-6382	156	2	pure	pure	PROPN
ejpam-6382	156	3	appl	appl	PROPN
ejpam-6382	156	4	.	.	PROPN
ejpam-6382	156	5	math	math	PROPN
ejpam-6382	156	6	,	,	PUNCT
ejpam-6382	156	7	18	18	NUM
ejpam-6382	156	8	(	(	PUNCT
ejpam-6382	156	9	3	3	NUM
ejpam-6382	156	10	)	)	PUNCT
ejpam-6382	156	11	(	(	PUNCT
ejpam-6382	156	12	2025	2025	NUM
ejpam-6382	156	13	)	)	PUNCT
ejpam-6382	156	14	,	,	PUNCT
ejpam-6382	156	15	6382	6382	NUM
ejpam-6382	156	16	9	9	NUM
ejpam-6382	156	17	of	of	ADP
ejpam-6382	156	18	29	29	NUM
ejpam-6382	156	19	figure	figure	NOUN
ejpam-6382	156	20	3	3	NUM
ejpam-6382	156	21	:	:	PUNCT
ejpam-6382	156	22	the	the	DET
ejpam-6382	156	23	hrf	hrf	PROPN
ejpam-6382	156	24	plot	plot	NOUN
ejpam-6382	156	25	of	of	ADP
ejpam-6382	156	26	lbdfw	lbdfw	ADJ
ejpam-6382	156	27	distribution	distribution	NOUN
ejpam-6382	156	28	for	for	ADP
ejpam-6382	156	29	different	different	ADJ
ejpam-6382	156	30	values	value	NOUN
ejpam-6382	156	31	the	the	DET
ejpam-6382	156	32	parameter	parameter	NOUN
ejpam-6382	156	33	(	(	PUNCT
ejpam-6382	156	34	α	α	X
ejpam-6382	156	35	,	,	PUNCT
ejpam-6382	156	36	β	β	X
ejpam-6382	156	37	,	,	PUNCT
ejpam-6382	156	38	m	m	PROPN
ejpam-6382	156	39	,	,	PUNCT
ejpam-6382	156	40	k	k	NOUN
ejpam-6382	156	41	)	)	PUNCT
ejpam-6382	156	42	.	.	PUNCT
ejpam-6382	157	1	we	we	PRON
ejpam-6382	157	2	need	need	VERB
ejpam-6382	157	3	to	to	PART
ejpam-6382	157	4	show	show	VERB
ejpam-6382	157	5	that	that	SCONJ
ejpam-6382	157	6	{	{	PUNCT
ejpam-6382	157	7	pl(y	pl(y	NOUN
ejpam-6382	157	8	;	;	PUNCT
ejpam-6382	157	9	ξ)}2	ξ)}2	ADV
ejpam-6382	157	10	≤	≤	ADJ
ejpam-6382	157	11	pl(y	pl(y	NOUN
ejpam-6382	157	12	+	+	CCONJ
ejpam-6382	157	13	1	1	NUM
ejpam-6382	157	14	;	;	PUNCT
ejpam-6382	157	15	ξ	ξ	X
ejpam-6382	157	16	)	)	PUNCT
ejpam-6382	157	17	.	.	PUNCT
ejpam-6382	158	1	pl(y	pl(y	NUM
ejpam-6382	159	1	−	−	NOUN
ejpam-6382	159	2	1	1	NUM
ejpam-6382	159	3	;	;	PUNCT
ejpam-6382	159	4	ξ	ξ	X
ejpam-6382	159	5	)	)	PUNCT
ejpam-6382	159	6	,	,	PUNCT
ejpam-6382	159	7	for	for	ADP
ejpam-6382	159	8	y	y	PROPN
ejpam-6382	159	9	∈	∈	PROPN
ejpam-6382	159	10	z+	z+	NUM
ejpam-6382	159	11	and	and	CCONJ
ejpam-6382	159	12	ξ	ξ	X
ejpam-6382	159	13	=	=	SYM
ejpam-6382	159	14	(	(	PUNCT
ejpam-6382	159	15	α	α	X
ejpam-6382	159	16	,	,	PUNCT
ejpam-6382	159	17	β	β	X
ejpam-6382	159	18	,	,	PUNCT
ejpam-6382	159	19	m	m	PROPN
ejpam-6382	159	20	,	,	PUNCT
ejpam-6382	159	21	k	k	NOUN
ejpam-6382	159	22	)	)	PUNCT
ejpam-6382	159	23	.	.	PUNCT
ejpam-6382	160	1	for	for	ADP
ejpam-6382	160	2	this	this	PRON
ejpam-6382	160	3	,	,	PUNCT
ejpam-6382	160	4	it	it	PRON
ejpam-6382	160	5	is	be	AUX
ejpam-6382	160	6	sufficient	sufficient	ADJ
ejpam-6382	160	7	if	if	SCONJ
ejpam-6382	160	8	we	we	PRON
ejpam-6382	160	9	can	can	AUX
ejpam-6382	160	10	show	show	VERB
ejpam-6382	160	11	that	that	SCONJ
ejpam-6382	160	12	the	the	DET
ejpam-6382	160	13	ratio	ratio	NOUN
ejpam-6382	160	14	pl(y	pl(y	NUM
ejpam-6382	160	15	+	+	CCONJ
ejpam-6382	160	16	1	1	NUM
ejpam-6382	160	17	;	;	PUNCT
ejpam-6382	160	18	ξ	ξ	X
ejpam-6382	160	19	)	)	PUNCT
ejpam-6382	160	20	pl(y	pl(y	NUM
ejpam-6382	160	21	;	;	PUNCT
ejpam-6382	160	22	ξ	ξ	X
ejpam-6382	160	23	)	)	PUNCT
ejpam-6382	160	24	=	=	SYM
ejpam-6382	161	1	q(y	q(y	NOUN
ejpam-6382	161	2	+	+	CCONJ
ejpam-6382	161	3	1	1	NUM
ejpam-6382	161	4	;	;	PUNCT
ejpam-6382	161	5	ξ	ξ	X
ejpam-6382	161	6	)	)	PUNCT
ejpam-6382	161	7	q(y	q(y	NOUN
ejpam-6382	161	8	;	;	PUNCT
ejpam-6382	161	9	ξ	ξ	X
ejpam-6382	161	10	)	)	PUNCT
ejpam-6382	161	11	,	,	PUNCT
ejpam-6382	161	12	for	for	ADP
ejpam-6382	161	13	y	y	PROPN
ejpam-6382	161	14	∈	∈	PROPN
ejpam-6382	161	15	z+	z+	NUM
ejpam-6382	161	16	and	and	CCONJ
ejpam-6382	161	17	ξ	ξ	X
ejpam-6382	161	18	=	=	SYM
ejpam-6382	161	19	(	(	PUNCT
ejpam-6382	161	20	α	α	X
ejpam-6382	161	21	,	,	PUNCT
ejpam-6382	161	22	β	β	X
ejpam-6382	161	23	,	,	PUNCT
ejpam-6382	161	24	m	m	PROPN
ejpam-6382	161	25	,	,	PUNCT
ejpam-6382	161	26	k	k	NOUN
ejpam-6382	161	27	)	)	PUNCT
ejpam-6382	161	28	,	,	PUNCT
ejpam-6382	161	29	is	be	AUX
ejpam-6382	161	30	an	an	DET
ejpam-6382	161	31	increasing	increase	VERB
ejpam-6382	161	32	function	function	NOUN
ejpam-6382	161	33	of	of	ADP
ejpam-6382	161	34	y	y	PROPN
ejpam-6382	161	35	,	,	PUNCT
ejpam-6382	161	36	then	then	ADV
ejpam-6382	161	37	the	the	DET
ejpam-6382	161	38	distribution	distribution	NOUN
ejpam-6382	161	39	is	be	AUX
ejpam-6382	161	40	log	log	NOUN
ejpam-6382	161	41	-	-	PUNCT
ejpam-6382	161	42	convex	convex	NOUN
ejpam-6382	161	43	,	,	PUNCT
ejpam-6382	161	44	otherwise	otherwise	ADV
ejpam-6382	161	45	,	,	PUNCT
ejpam-6382	161	46	it	it	PRON
ejpam-6382	161	47	is	be	AUX
ejpam-6382	161	48	log	log	NOUN
ejpam-6382	161	49	-	-	PUNCT
ejpam-6382	161	50	concave	concave	NOUN
ejpam-6382	161	51	.	.	PUNCT
ejpam-6382	162	1	for	for	ADP
ejpam-6382	162	2	the	the	DET
ejpam-6382	162	3	proposed	propose	VERB
ejpam-6382	162	4	distribution	distribution	NOUN
ejpam-6382	162	5	,	,	PUNCT
ejpam-6382	162	6	for	for	ADP
ejpam-6382	162	7	different	different	ADJ
ejpam-6382	162	8	choices	choice	NOUN
ejpam-6382	162	9	of	of	ADP
ejpam-6382	162	10	the	the	DET
ejpam-6382	162	11	parameter	parameter	NOUN
ejpam-6382	162	12	values	value	VERB
ejpam-6382	162	13	the	the	DET
ejpam-6382	162	14	ratio	ratio	NOUN
ejpam-6382	162	15	is	be	AUX
ejpam-6382	162	16	a	a	DET
ejpam-6382	162	17	decreasing	decrease	VERB
ejpam-6382	162	18	function	function	NOUN
ejpam-6382	162	19	of	of	ADP
ejpam-6382	162	20	y	y	PROPN
ejpam-6382	162	21	and	and	CCONJ
ejpam-6382	162	22	consequently	consequently	ADV
ejpam-6382	162	23	the	the	DET
ejpam-6382	162	24	lbdfw	lbdfw	ADJ
ejpam-6382	162	25	distribution	distribution	NOUN
ejpam-6382	162	26	is	be	AUX
ejpam-6382	162	27	log	log	NOUN
ejpam-6382	162	28	-	-	PUNCT
ejpam-6382	162	29	concave	concave	NOUN
ejpam-6382	162	30	.	.	PUNCT
ejpam-6382	163	1	hence	hence	ADV
ejpam-6382	163	2	,	,	PUNCT
ejpam-6382	163	3	lbdfw	lbdfw	ADJ
ejpam-6382	163	4	model	model	NOUN
ejpam-6382	163	5	has	have	VERB
ejpam-6382	163	6	an	an	DET
ejpam-6382	163	7	increasing	increase	VERB
ejpam-6382	163	8	failure	failure	NOUN
ejpam-6382	163	9	rate	rate	NOUN
ejpam-6382	163	10	distribution	distribution	NOUN
ejpam-6382	163	11	.	.	PUNCT
ejpam-6382	164	1	3.2	3.2	NUM
ejpam-6382	164	2	.	.	X
ejpam-6382	164	3	infinite	infinite	ADJ
ejpam-6382	164	4	divisibility	divisibility	NOUN
ejpam-6382	164	5	according	accord	VERB
ejpam-6382	164	6	to	to	ADP
ejpam-6382	164	7	steutel	steutel	NOUN
ejpam-6382	164	8	and	and	CCONJ
ejpam-6382	164	9	harn	harn	X
ejpam-6382	165	1	[	[	X
ejpam-6382	165	2	15	15	NUM
ejpam-6382	165	3	]	]	PUNCT
ejpam-6382	165	4	,	,	PUNCT
ejpam-6382	165	5	the	the	DET
ejpam-6382	165	6	following	follow	VERB
ejpam-6382	165	7	lemma	lemma	PROPN
ejpam-6382	165	8	enables	enable	VERB
ejpam-6382	165	9	us	we	PRON
ejpam-6382	165	10	to	to	PART
ejpam-6382	165	11	determine	determine	VERB
ejpam-6382	165	12	the	the	DET
ejpam-6382	165	13	infinite	infinite	ADJ
ejpam-6382	165	14	divisibility	divisibility	NOUN
ejpam-6382	165	15	property	property	NOUN
ejpam-6382	165	16	of	of	ADP
ejpam-6382	165	17	a	a	DET
ejpam-6382	165	18	distribution	distribution	NOUN
ejpam-6382	165	19	,	,	PUNCT
ejpam-6382	165	20	stated	state	VERB
ejpam-6382	165	21	as	as	ADP
ejpam-6382	165	22	d.	d.	PROPN
ejpam-6382	165	23	das	das	PROPN
ejpam-6382	165	24	et	et	PROPN
ejpam-6382	165	25	al	al	PROPN
ejpam-6382	165	26	.	.	PUNCT
ejpam-6382	165	27	/	/	SYM
ejpam-6382	165	28	eur	eur	PROPN
ejpam-6382	165	29	.	.	PUNCT
ejpam-6382	166	1	j.	j.	PROPN
ejpam-6382	166	2	pure	pure	PROPN
ejpam-6382	166	3	appl	appl	PROPN
ejpam-6382	166	4	.	.	PROPN
ejpam-6382	166	5	math	math	PROPN
ejpam-6382	166	6	,	,	PUNCT
ejpam-6382	166	7	18	18	NUM
ejpam-6382	166	8	(	(	PUNCT
ejpam-6382	166	9	3	3	NUM
ejpam-6382	166	10	)	)	PUNCT
ejpam-6382	166	11	(	(	PUNCT
ejpam-6382	166	12	2025	2025	NUM
ejpam-6382	166	13	)	)	PUNCT
ejpam-6382	166	14	,	,	PUNCT
ejpam-6382	166	15	6382	6382	NUM
ejpam-6382	166	16	10	10	NUM
ejpam-6382	166	17	of	of	ADP
ejpam-6382	166	18	29	29	NUM
ejpam-6382	166	19	lemma	lemma	PROPN
ejpam-6382	166	20	3.1	3.1	NUM
ejpam-6382	166	21	.	.	PUNCT
ejpam-6382	167	1	a	a	DET
ejpam-6382	167	2	necessary	necessary	ADJ
ejpam-6382	167	3	condition	condition	NOUN
ejpam-6382	167	4	for	for	ADP
ejpam-6382	167	5	infinite	infinite	ADJ
ejpam-6382	167	6	divisibility	divisibility	NOUN
ejpam-6382	167	7	of	of	ADP
ejpam-6382	167	8	a	a	DET
ejpam-6382	167	9	discrete	discrete	ADJ
ejpam-6382	167	10	distribution	distribution	NOUN
ejpam-6382	167	11	py	py	NOUN
ejpam-6382	167	12	is	be	AUX
ejpam-6382	167	13	that	that	PRON
ejpam-6382	167	14	p0	p0	NOUN
ejpam-6382	167	15	>	>	X
ejpam-6382	167	16	0	0	X
ejpam-6382	167	17	.	.	PUNCT
ejpam-6382	168	1	it	it	PRON
ejpam-6382	168	2	is	be	AUX
ejpam-6382	168	3	seen	see	VERB
ejpam-6382	168	4	from	from	ADP
ejpam-6382	168	5	the	the	DET
ejpam-6382	168	6	pmf	pmf	NOUN
ejpam-6382	168	7	plot	plot	NOUN
ejpam-6382	168	8	of	of	ADP
ejpam-6382	168	9	lbdfw	lbdfw	ADJ
ejpam-6382	168	10	model	model	NOUN
ejpam-6382	168	11	as	as	SCONJ
ejpam-6382	168	12	shown	show	VERB
ejpam-6382	168	13	in	in	ADP
ejpam-6382	168	14	figure	figure	NOUN
ejpam-6382	168	15	1	1	NUM
ejpam-6382	168	16	,	,	PUNCT
ejpam-6382	168	17	that	that	SCONJ
ejpam-6382	168	18	there	there	PRON
ejpam-6382	168	19	can	can	AUX
ejpam-6382	168	20	be	be	AUX
ejpam-6382	168	21	no	no	DET
ejpam-6382	168	22	such	such	ADJ
ejpam-6382	168	23	combinations	combination	NOUN
ejpam-6382	168	24	of	of	ADP
ejpam-6382	168	25	the	the	DET
ejpam-6382	168	26	parameter	parameter	NOUN
ejpam-6382	168	27	values	value	NOUN
ejpam-6382	168	28	,	,	PUNCT
ejpam-6382	168	29	that	that	PRON
ejpam-6382	168	30	do	do	AUX
ejpam-6382	168	31	satisfy	satisfy	VERB
ejpam-6382	168	32	the	the	DET
ejpam-6382	168	33	condition	condition	NOUN
ejpam-6382	168	34	in	in	ADP
ejpam-6382	168	35	lemma	lemma	PROPN
ejpam-6382	168	36	(	(	PUNCT
ejpam-6382	168	37	3.1	3.1	NUM
ejpam-6382	168	38	)	)	PUNCT
ejpam-6382	168	39	.	.	PUNCT
ejpam-6382	169	1	symbolically	symbolically	ADV
ejpam-6382	169	2	,	,	PUNCT
ejpam-6382	169	3	in	in	ADP
ejpam-6382	169	4	the	the	DET
ejpam-6382	169	5	case	case	NOUN
ejpam-6382	169	6	of	of	ADP
ejpam-6382	169	7	lbdfw	lbdfw	PROPN
ejpam-6382	169	8	model	model	NOUN
ejpam-6382	169	9	,	,	PUNCT
ejpam-6382	169	10	for	for	ADP
ejpam-6382	169	11	any	any	DET
ejpam-6382	169	12	combination	combination	NOUN
ejpam-6382	169	13	choice	choice	NOUN
ejpam-6382	169	14	of	of	ADP
ejpam-6382	169	15	the	the	DET
ejpam-6382	169	16	parameter	parameter	NOUN
ejpam-6382	169	17	values	value	NOUN
ejpam-6382	169	18	(	(	PUNCT
ejpam-6382	169	19	α	α	X
ejpam-6382	169	20	,	,	PUNCT
ejpam-6382	169	21	β	β	X
ejpam-6382	169	22	,	,	PUNCT
ejpam-6382	169	23	m	m	PROPN
ejpam-6382	169	24	,	,	PUNCT
ejpam-6382	169	25	k	k	NOUN
ejpam-6382	169	26	)	)	PUNCT
ejpam-6382	169	27	,	,	PUNCT
ejpam-6382	169	28	p0	p0	NOUN
ejpam-6382	169	29	=	=	SYM
ejpam-6382	169	30	0	0	X
ejpam-6382	169	31	.	.	PUNCT
ejpam-6382	169	32	hence	hence	ADV
ejpam-6382	169	33	lbdfw	lbdfw	ADJ
ejpam-6382	169	34	model	model	NOUN
ejpam-6382	169	35	is	be	AUX
ejpam-6382	169	36	not	not	PART
ejpam-6382	169	37	infinite	infinite	ADJ
ejpam-6382	169	38	divisible	divisible	ADJ
ejpam-6382	169	39	.	.	PUNCT
ejpam-6382	170	1	3.3	3.3	NUM
ejpam-6382	170	2	.	.	PUNCT
ejpam-6382	171	1	moment	moment	NOUN
ejpam-6382	171	2	generating	generate	VERB
ejpam-6382	171	3	function	function	NOUN
ejpam-6382	171	4	the	the	DET
ejpam-6382	171	5	moment	moment	NOUN
ejpam-6382	171	6	generating	generate	VERB
ejpam-6382	171	7	function	function	NOUN
ejpam-6382	171	8	(	(	PUNCT
ejpam-6382	171	9	mgf	mgf	PROPN
ejpam-6382	171	10	)	)	PUNCT
ejpam-6382	171	11	is	be	AUX
ejpam-6382	171	12	a	a	DET
ejpam-6382	171	13	powerful	powerful	ADJ
ejpam-6382	171	14	tool	tool	NOUN
ejpam-6382	171	15	in	in	ADP
ejpam-6382	171	16	probability	probability	NOUN
ejpam-6382	171	17	theory	theory	NOUN
ejpam-6382	171	18	,	,	PUNCT
ejpam-6382	171	19	used	use	VERB
ejpam-6382	171	20	to	to	PART
ejpam-6382	171	21	derive	derive	VERB
ejpam-6382	171	22	moments	moment	NOUN
ejpam-6382	171	23	(	(	PUNCT
ejpam-6382	171	24	like	like	ADP
ejpam-6382	171	25	the	the	DET
ejpam-6382	171	26	mean	mean	NOUN
ejpam-6382	171	27	and	and	CCONJ
ejpam-6382	171	28	variance	variance	NOUN
ejpam-6382	171	29	)	)	PUNCT
ejpam-6382	171	30	of	of	ADP
ejpam-6382	171	31	a	a	DET
ejpam-6382	171	32	random	random	ADJ
ejpam-6382	171	33	variable	variable	NOUN
ejpam-6382	171	34	.	.	PUNCT
ejpam-6382	172	1	in	in	ADP
ejpam-6382	172	2	the	the	DET
ejpam-6382	172	3	discrete	discrete	ADJ
ejpam-6382	172	4	case	case	NOUN
ejpam-6382	172	5	,	,	PUNCT
ejpam-6382	172	6	the	the	DET
ejpam-6382	172	7	mgf	mgf	PROPN
ejpam-6382	172	8	is	be	AUX
ejpam-6382	172	9	defined	define	VERB
ejpam-6382	172	10	for	for	ADP
ejpam-6382	172	11	a	a	DET
ejpam-6382	172	12	discrete	discrete	ADJ
ejpam-6382	172	13	random	random	ADJ
ejpam-6382	172	14	variable	variable	NOUN
ejpam-6382	172	15	y	y	PROPN
ejpam-6382	172	16	that	that	PRON
ejpam-6382	172	17	takes	take	VERB
ejpam-6382	172	18	values	value	NOUN
ejpam-6382	172	19	in	in	ADP
ejpam-6382	172	20	a	a	DET
ejpam-6382	172	21	countable	countable	ADJ
ejpam-6382	172	22	set	set	NOUN
ejpam-6382	172	23	(	(	PUNCT
ejpam-6382	172	24	e.g.	e.g.	ADV
ejpam-6382	172	25	,	,	PUNCT
ejpam-6382	172	26	integers	integer	NOUN
ejpam-6382	172	27	)	)	PUNCT
ejpam-6382	172	28	and	and	CCONJ
ejpam-6382	172	29	has	have	VERB
ejpam-6382	172	30	a	a	DET
ejpam-6382	172	31	pmf	pmf	NOUN
ejpam-6382	172	32	.	.	PUNCT
ejpam-6382	173	1	the	the	DET
ejpam-6382	173	2	mgf	mgf	PROPN
ejpam-6382	173	3	of	of	ADP
ejpam-6382	173	4	the	the	DET
ejpam-6382	173	5	lbdfw	lbdfw	NOUN
ejpam-6382	173	6	model	model	NOUN
ejpam-6382	173	7	can	can	AUX
ejpam-6382	173	8	be	be	AUX
ejpam-6382	173	9	formulated	formulate	VERB
ejpam-6382	173	10	as	as	ADP
ejpam-6382	173	11	myl	myl	PROPN
ejpam-6382	173	12	(	(	PUNCT
ejpam-6382	173	13	t	t	NOUN
ejpam-6382	173	14	)	)	PUNCT
ejpam-6382	173	15	=	=	SYM
ejpam-6382	173	16	e[ety	e[ety	NOUN
ejpam-6382	173	17	]	]	X
ejpam-6382	173	18	=	=	PUNCT
ejpam-6382	174	1	∞∑	∞∑	NUM
ejpam-6382	174	2	y=0	y=0	NUM
ejpam-6382	174	3	ety	ety	NOUN
ejpam-6382	174	4	pl[yl	pl[yl	NOUN
ejpam-6382	174	5	=	=	SYM
ejpam-6382	174	6	y	y	PROPN
ejpam-6382	174	7	;	;	PUNCT
ejpam-6382	174	8	ξ	ξ	X
ejpam-6382	174	9	]	]	PUNCT
ejpam-6382	174	10	=	=	SYM
ejpam-6382	174	11	1	1	NUM
ejpam-6382	174	12	q(y	q(y	X
ejpam-6382	174	13	;	;	PUNCT
ejpam-6382	174	14	ξ	ξ	X
ejpam-6382	174	15	)	)	PUNCT
ejpam-6382	174	16	∞∑	∞∑	NUM
ejpam-6382	174	17	y=1	y=1	SYM
ejpam-6382	174	18	ety	ety	NOUN
ejpam-6382	174	19	q(y	q(y	X
ejpam-6382	174	20	;	;	PUNCT
ejpam-6382	174	21	ξ	ξ	X
ejpam-6382	174	22	)	)	PUNCT
ejpam-6382	174	23	,	,	PUNCT
ejpam-6382	174	24	(	(	PUNCT
ejpam-6382	174	25	3.1	3.1	NUM
ejpam-6382	174	26	)	)	PUNCT
ejpam-6382	174	27	where	where	SCONJ
ejpam-6382	174	28	the	the	DET
ejpam-6382	174	29	terms	term	NOUN
ejpam-6382	174	30	q(y	q(y	X
ejpam-6382	174	31	;	;	PUNCT
ejpam-6382	174	32	ξ	ξ	X
ejpam-6382	174	33	)	)	PUNCT
ejpam-6382	174	34	and	and	CCONJ
ejpam-6382	174	35	q(y	q(y	PROPN
ejpam-6382	174	36	;	;	PUNCT
ejpam-6382	174	37	ξ	ξ	X
ejpam-6382	174	38	)	)	PUNCT
ejpam-6382	174	39	are	be	AUX
ejpam-6382	174	40	as	as	ADV
ejpam-6382	174	41	defined	define	VERB
ejpam-6382	174	42	in	in	ADP
ejpam-6382	174	43	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	174	44	)	)	PUNCT
ejpam-6382	174	45	and	and	CCONJ
ejpam-6382	174	46	eq.(2.5	eq.(2.5	NOUN
ejpam-6382	174	47	)	)	PUNCT
ejpam-6382	174	48	respectively	respectively	ADV
ejpam-6382	174	49	and	and	CCONJ
ejpam-6382	174	50	the	the	DET
ejpam-6382	174	51	parameter	parameter	NOUN
ejpam-6382	174	52	vector	vector	NOUN
ejpam-6382	174	53	ξ	ξ	PROPN
ejpam-6382	174	54	=	=	SYM
ejpam-6382	174	55	(	(	PUNCT
ejpam-6382	174	56	α	α	X
ejpam-6382	174	57	,	,	PUNCT
ejpam-6382	174	58	β	β	X
ejpam-6382	174	59	,	,	PUNCT
ejpam-6382	174	60	m	m	PROPN
ejpam-6382	174	61	,	,	PUNCT
ejpam-6382	174	62	k	k	NOUN
ejpam-6382	174	63	)	)	PUNCT
ejpam-6382	174	64	.	.	PUNCT
ejpam-6382	175	1	now	now	ADV
ejpam-6382	175	2	,	,	PUNCT
ejpam-6382	175	3	differentiating	differentiate	VERB
ejpam-6382	175	4	the	the	DET
ejpam-6382	175	5	mgf	mgf	PROPN
ejpam-6382	175	6	of	of	ADP
ejpam-6382	175	7	lbdfw	lbdfw	PROPN
ejpam-6382	175	8	model	model	NOUN
ejpam-6382	175	9	as	as	ADP
ejpam-6382	175	10	in	in	ADP
ejpam-6382	175	11	eq.(3.1	eq.(3.1	NOUN
ejpam-6382	175	12	)	)	PUNCT
ejpam-6382	175	13	,	,	PUNCT
ejpam-6382	175	14	for	for	ADP
ejpam-6382	175	15	‘	'	PUNCT
ejpam-6382	175	16	r′	r′	NUM
ejpam-6382	175	17	times	time	NOUN
ejpam-6382	175	18	w.r.t	w.r.t	ADJ
ejpam-6382	175	19	‘	'	PUNCT
ejpam-6382	175	20	t′	t′	NUM
ejpam-6382	175	21	,	,	PUNCT
ejpam-6382	175	22	we	we	PRON
ejpam-6382	175	23	get	get	VERB
ejpam-6382	175	24	m	m	VERB
ejpam-6382	175	25	(	(	PUNCT
ejpam-6382	175	26	r	r	NOUN
ejpam-6382	175	27	)	)	PUNCT
ejpam-6382	175	28	yl	yl	NOUN
ejpam-6382	175	29	(	(	PUNCT
ejpam-6382	175	30	t	t	NOUN
ejpam-6382	175	31	)	)	PUNCT
ejpam-6382	176	1	=	=	NOUN
ejpam-6382	176	2	dr	dr	AUX
ejpam-6382	176	3	dtr	dtr	VERB
ejpam-6382	176	4	myl	myl	PROPN
ejpam-6382	176	5	(	(	PUNCT
ejpam-6382	176	6	t	t	NOUN
ejpam-6382	176	7	)	)	PUNCT
ejpam-6382	176	8	=	=	SYM
ejpam-6382	176	9	1	1	NUM
ejpam-6382	176	10	q(y	q(y	X
ejpam-6382	176	11	;	;	PUNCT
ejpam-6382	176	12	ξ	ξ	X
ejpam-6382	176	13	)	)	PUNCT
ejpam-6382	176	14	∞∑	∞∑	NUM
ejpam-6382	176	15	y=1	y=1	NOUN
ejpam-6382	176	16	yr	yr	NOUN
ejpam-6382	176	17	ety	ety	PROPN
ejpam-6382	176	18	q(y	q(y	PROPN
ejpam-6382	176	19	;	;	PUNCT
ejpam-6382	176	20	ξ	ξ	X
ejpam-6382	176	21	)	)	PUNCT
ejpam-6382	176	22	.	.	PUNCT
ejpam-6382	177	1	(	(	PUNCT
ejpam-6382	177	2	3.2	3.2	NUM
ejpam-6382	177	3	)	)	PUNCT
ejpam-6382	177	4	thus	thus	ADV
ejpam-6382	177	5	,	,	PUNCT
ejpam-6382	177	6	the	the	DET
ejpam-6382	177	7	rth	rth	PROPN
ejpam-6382	177	8	moment	moment	NOUN
ejpam-6382	177	9	of	of	ADP
ejpam-6382	177	10	lbdfw	lbdfw	PROPN
ejpam-6382	177	11	model	model	NOUN
ejpam-6382	177	12	is	be	AUX
ejpam-6382	177	13	given	give	VERB
ejpam-6382	177	14	by	by	ADP
ejpam-6382	177	15	e[y	e[y	ADJ
ejpam-6382	177	16	r	r	NOUN
ejpam-6382	177	17	l	l	NOUN
ejpam-6382	177	18	]	]	PUNCT
ejpam-6382	178	1	=	=	PUNCT
ejpam-6382	178	2	m	m	VERB
ejpam-6382	178	3	(	(	PUNCT
ejpam-6382	178	4	r	r	NOUN
ejpam-6382	178	5	)	)	PUNCT
ejpam-6382	178	6	yl	yl	NOUN
ejpam-6382	178	7	(	(	PUNCT
ejpam-6382	178	8	t	t	NOUN
ejpam-6382	178	9	)	)	PUNCT
ejpam-6382	178	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6382	178	11	t=0	t=0	VERB
ejpam-6382	178	12	=	=	NOUN
ejpam-6382	178	13	1	1	NUM
ejpam-6382	178	14	q(y	q(y	X
ejpam-6382	178	15	;	;	PUNCT
ejpam-6382	178	16	ξ	ξ	X
ejpam-6382	178	17	)	)	PUNCT
ejpam-6382	178	18	∞∑	∞∑	NUM
ejpam-6382	178	19	y=1	y=1	NOUN
ejpam-6382	178	20	yr+1	yr+1	PROPN
ejpam-6382	178	21	p(y	p(y	PROPN
ejpam-6382	178	22	;	;	PUNCT
ejpam-6382	178	23	ξ	ξ	X
ejpam-6382	178	24	)	)	PUNCT
ejpam-6382	178	25	,	,	PUNCT
ejpam-6382	178	26	(	(	PUNCT
ejpam-6382	178	27	3.3	3.3	NUM
ejpam-6382	178	28	)	)	PUNCT
ejpam-6382	178	29	where	where	SCONJ
ejpam-6382	178	30	the	the	DET
ejpam-6382	178	31	terms	term	NOUN
ejpam-6382	178	32	q(y	q(y	X
ejpam-6382	178	33	;	;	PUNCT
ejpam-6382	178	34	ξ	ξ	X
ejpam-6382	178	35	)	)	PUNCT
ejpam-6382	178	36	is	be	AUX
ejpam-6382	178	37	as	as	SCONJ
ejpam-6382	178	38	defined	define	VERB
ejpam-6382	178	39	in	in	ADP
ejpam-6382	178	40	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	178	41	)	)	PUNCT
ejpam-6382	178	42	and	and	CCONJ
ejpam-6382	178	43	the	the	DET
ejpam-6382	178	44	term	term	NOUN
ejpam-6382	178	45	p(y	p(y	NOUN
ejpam-6382	178	46	;	;	PUNCT
ejpam-6382	178	47	ξ	ξ	X
ejpam-6382	178	48	)	)	PUNCT
ejpam-6382	178	49	=	=	SYM
ejpam-6382	179	1	p	p	X
ejpam-6382	180	1	[	[	X
ejpam-6382	180	2	y	y	PROPN
ejpam-6382	180	3	=	=	SYM
ejpam-6382	180	4	y	y	PROPN
ejpam-6382	180	5	;	;	PUNCT
ejpam-6382	180	6	ξ	ξ	X
ejpam-6382	180	7	]	]	PUNCT
ejpam-6382	180	8	,	,	PUNCT
ejpam-6382	180	9	as	as	SCONJ
ejpam-6382	180	10	defined	define	VERB
ejpam-6382	180	11	in	in	ADP
ejpam-6382	180	12	eq.(2.3	eq.(2.3	NOUN
ejpam-6382	180	13	)	)	PUNCT
ejpam-6382	180	14	.	.	PUNCT
ejpam-6382	181	1	3.4	3.4	NUM
ejpam-6382	181	2	.	.	PUNCT
ejpam-6382	181	3	probability	probability	NOUN
ejpam-6382	181	4	generating	generating	NOUN
ejpam-6382	181	5	function	function	NOUN
ejpam-6382	181	6	the	the	DET
ejpam-6382	181	7	probability	probability	NOUN
ejpam-6382	181	8	generating	generating	NOUN
ejpam-6382	181	9	function	function	NOUN
ejpam-6382	181	10	(	(	PUNCT
ejpam-6382	181	11	pgf	pgf	NOUN
ejpam-6382	181	12	)	)	PUNCT
ejpam-6382	181	13	and	and	CCONJ
ejpam-6382	181	14	the	the	DET
ejpam-6382	181	15	mfg	mfg	NOUN
ejpam-6382	181	16	are	be	AUX
ejpam-6382	181	17	both	both	PRON
ejpam-6382	181	18	tools	tool	NOUN
ejpam-6382	181	19	in	in	ADP
ejpam-6382	181	20	probability	probability	NOUN
ejpam-6382	181	21	theory	theory	NOUN
ejpam-6382	181	22	used	use	VERB
ejpam-6382	181	23	to	to	PART
ejpam-6382	181	24	summarize	summarize	VERB
ejpam-6382	181	25	information	information	NOUN
ejpam-6382	181	26	about	about	ADP
ejpam-6382	181	27	a	a	DET
ejpam-6382	181	28	random	random	ADJ
ejpam-6382	181	29	variable	variable	NOUN
ejpam-6382	181	30	,	,	PUNCT
ejpam-6382	181	31	particularly	particularly	ADV
ejpam-6382	181	32	its	its	PRON
ejpam-6382	181	33	distribution	distribution	NOUN
ejpam-6382	181	34	and	and	CCONJ
ejpam-6382	181	35	moments	moment	NOUN
ejpam-6382	181	36	;	;	PUNCT
ejpam-6382	181	37	however	however	ADV
ejpam-6382	181	38	,	,	PUNCT
ejpam-6382	181	39	they	they	PRON
ejpam-6382	181	40	differ	differ	VERB
ejpam-6382	181	41	in	in	ADP
ejpam-6382	181	42	definition	definition	NOUN
ejpam-6382	181	43	,	,	PUNCT
ejpam-6382	181	44	domain	domain	NOUN
ejpam-6382	181	45	,	,	PUNCT
ejpam-6382	181	46	and	and	CCONJ
ejpam-6382	181	47	application	application	NOUN
ejpam-6382	181	48	,	,	PUNCT
ejpam-6382	181	49	especially	especially	ADV
ejpam-6382	181	50	d.	d.	PROPN
ejpam-6382	181	51	das	das	PROPN
ejpam-6382	181	52	et	et	PROPN
ejpam-6382	181	53	al	al	PROPN
ejpam-6382	181	54	.	.	PUNCT
ejpam-6382	181	55	/	/	SYM
ejpam-6382	181	56	eur	eur	PROPN
ejpam-6382	181	57	.	.	PUNCT
ejpam-6382	182	1	j.	j.	PROPN
ejpam-6382	182	2	pure	pure	PROPN
ejpam-6382	182	3	appl	appl	PROPN
ejpam-6382	182	4	.	.	PROPN
ejpam-6382	182	5	math	math	PROPN
ejpam-6382	182	6	,	,	PUNCT
ejpam-6382	182	7	18	18	NUM
ejpam-6382	182	8	(	(	PUNCT
ejpam-6382	182	9	3	3	NUM
ejpam-6382	182	10	)	)	PUNCT
ejpam-6382	182	11	(	(	PUNCT
ejpam-6382	182	12	2025	2025	NUM
ejpam-6382	182	13	)	)	PUNCT
ejpam-6382	182	14	,	,	PUNCT
ejpam-6382	182	15	6382	6382	NUM
ejpam-6382	182	16	11	11	NUM
ejpam-6382	182	17	of	of	ADP
ejpam-6382	182	18	29	29	NUM
ejpam-6382	182	19	for	for	ADP
ejpam-6382	182	20	discrete	discrete	ADJ
ejpam-6382	182	21	random	random	ADJ
ejpam-6382	182	22	variables	variable	NOUN
ejpam-6382	182	23	with	with	ADP
ejpam-6382	182	24	the	the	DET
ejpam-6382	182	25	pgf	pgf	NOUN
ejpam-6382	182	26	designed	design	VERB
ejpam-6382	182	27	for	for	ADP
ejpam-6382	182	28	discrete	discrete	ADJ
ejpam-6382	182	29	non	non	ADJ
ejpam-6382	182	30	-	-	ADJ
ejpam-6382	182	31	negative	negative	ADJ
ejpam-6382	182	32	integers	integer	NOUN
ejpam-6382	182	33	to	to	PART
ejpam-6382	182	34	encode	encode	VERB
ejpam-6382	182	35	probabilities	probability	NOUN
ejpam-6382	182	36	through	through	ADP
ejpam-6382	182	37	powers	power	NOUN
ejpam-6382	182	38	of	of	ADP
ejpam-6382	182	39	(	(	PUNCT
ejpam-6382	182	40	.	.	PUNCT
ejpam-6382	182	41	)	)	PUNCT
ejpam-6382	182	42	,	,	PUNCT
ejpam-6382	182	43	while	while	SCONJ
ejpam-6382	182	44	the	the	DET
ejpam-6382	182	45	mgf	mgf	PROPN
ejpam-6382	182	46	applies	apply	VERB
ejpam-6382	182	47	to	to	ADP
ejpam-6382	182	48	both	both	CCONJ
ejpam-6382	182	49	discrete	discrete	ADJ
ejpam-6382	182	50	and	and	CCONJ
ejpam-6382	182	51	continuous	continuous	ADJ
ejpam-6382	182	52	variables	variable	NOUN
ejpam-6382	182	53	to	to	PART
ejpam-6382	182	54	encode	encode	VERB
ejpam-6382	182	55	moments	moment	NOUN
ejpam-6382	182	56	through	through	ADP
ejpam-6382	182	57	powers	power	NOUN
ejpam-6382	182	58	of	of	ADP
ejpam-6382	182	59	(	(	PUNCT
ejpam-6382	182	60	.	.	PUNCT
ejpam-6382	182	61	)	)	PUNCT
ejpam-6382	182	62	,	,	PUNCT
ejpam-6382	182	63	focusing	focus	VERB
ejpam-6382	182	64	more	more	ADV
ejpam-6382	182	65	on	on	ADP
ejpam-6382	182	66	moment	moment	NOUN
ejpam-6382	182	67	structure	structure	NOUN
ejpam-6382	182	68	.	.	PUNCT
ejpam-6382	183	1	the	the	DET
ejpam-6382	183	2	pgf	pgf	NOUN
ejpam-6382	183	3	of	of	ADP
ejpam-6382	183	4	the	the	DET
ejpam-6382	183	5	lbdfw	lbdfw	NOUN
ejpam-6382	183	6	model	model	NOUN
ejpam-6382	183	7	can	can	AUX
ejpam-6382	183	8	be	be	AUX
ejpam-6382	183	9	expressed	express	VERB
ejpam-6382	183	10	as	as	ADP
ejpam-6382	183	11	gyl	gyl	NOUN
ejpam-6382	183	12	(	(	PUNCT
ejpam-6382	183	13	t	t	NOUN
ejpam-6382	183	14	)	)	PUNCT
ejpam-6382	183	15	=	=	SYM
ejpam-6382	183	16	e[ty	e[ty	X
ejpam-6382	183	17	]	]	X
ejpam-6382	183	18	=	=	PUNCT
ejpam-6382	184	1	∞∑	∞∑	NUM
ejpam-6382	184	2	y=0	y=0	NOUN
ejpam-6382	184	3	ty	ty	PRON
ejpam-6382	184	4	pl[yl	pl[yl	VERB
ejpam-6382	184	5	=	=	SYM
ejpam-6382	184	6	y	y	NOUN
ejpam-6382	184	7	;	;	PUNCT
ejpam-6382	184	8	ξ	ξ	X
ejpam-6382	184	9	]	]	PUNCT
ejpam-6382	184	10	=	=	SYM
ejpam-6382	184	11	1	1	NUM
ejpam-6382	184	12	q(y	q(y	X
ejpam-6382	184	13	;	;	PUNCT
ejpam-6382	184	14	ξ	ξ	X
ejpam-6382	184	15	)	)	PUNCT
ejpam-6382	184	16	∞∑	∞∑	NUM
ejpam-6382	184	17	y=1	y=1	NOUN
ejpam-6382	184	18	ty	ty	INTJ
ejpam-6382	184	19	q(y	q(y	NOUN
ejpam-6382	184	20	;	;	PUNCT
ejpam-6382	184	21	ξ	ξ	X
ejpam-6382	184	22	)	)	PUNCT
ejpam-6382	184	23	,	,	PUNCT
ejpam-6382	184	24	(	(	PUNCT
ejpam-6382	184	25	3.4	3.4	NUM
ejpam-6382	184	26	)	)	PUNCT
ejpam-6382	184	27	where	where	SCONJ
ejpam-6382	184	28	the	the	DET
ejpam-6382	184	29	terms	term	NOUN
ejpam-6382	184	30	q(y	q(y	X
ejpam-6382	184	31	;	;	PUNCT
ejpam-6382	184	32	ξ	ξ	X
ejpam-6382	184	33	)	)	PUNCT
ejpam-6382	184	34	and	and	CCONJ
ejpam-6382	184	35	q(y	q(y	PROPN
ejpam-6382	184	36	;	;	PUNCT
ejpam-6382	184	37	ξ	ξ	X
ejpam-6382	184	38	)	)	PUNCT
ejpam-6382	184	39	are	be	AUX
ejpam-6382	184	40	as	as	ADV
ejpam-6382	184	41	defined	define	VERB
ejpam-6382	184	42	in	in	ADP
ejpam-6382	184	43	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	184	44	)	)	PUNCT
ejpam-6382	184	45	and	and	CCONJ
ejpam-6382	184	46	eq.(2.5	eq.(2.5	NOUN
ejpam-6382	184	47	)	)	PUNCT
ejpam-6382	184	48	respectively	respectively	ADV
ejpam-6382	184	49	and	and	CCONJ
ejpam-6382	184	50	the	the	DET
ejpam-6382	184	51	parameter	parameter	NOUN
ejpam-6382	184	52	vector	vector	NOUN
ejpam-6382	184	53	ξ	ξ	PROPN
ejpam-6382	184	54	=	=	SYM
ejpam-6382	184	55	(	(	PUNCT
ejpam-6382	184	56	α	α	X
ejpam-6382	184	57	,	,	PUNCT
ejpam-6382	184	58	β	β	X
ejpam-6382	184	59	,	,	PUNCT
ejpam-6382	184	60	m	m	PROPN
ejpam-6382	184	61	,	,	PUNCT
ejpam-6382	184	62	k	k	NOUN
ejpam-6382	184	63	)	)	PUNCT
ejpam-6382	184	64	.	.	PUNCT
ejpam-6382	185	1	now	now	ADV
ejpam-6382	185	2	,	,	PUNCT
ejpam-6382	185	3	differentiating	differentiate	VERB
ejpam-6382	185	4	the	the	DET
ejpam-6382	185	5	pgf	pgf	NOUN
ejpam-6382	185	6	of	of	ADP
ejpam-6382	185	7	lbdfw	lbdfw	PROPN
ejpam-6382	185	8	model	model	NOUN
ejpam-6382	185	9	as	as	ADP
ejpam-6382	185	10	in	in	ADP
ejpam-6382	185	11	eq.(3.1	eq.(3.1	NOUN
ejpam-6382	185	12	)	)	PUNCT
ejpam-6382	185	13	,	,	PUNCT
ejpam-6382	185	14	for	for	ADP
ejpam-6382	185	15	‘	'	PUNCT
ejpam-6382	185	16	r′	r′	NUM
ejpam-6382	185	17	times	time	NOUN
ejpam-6382	185	18	w.r.t	w.r.t	ADJ
ejpam-6382	185	19	‘	'	PUNCT
ejpam-6382	185	20	t′	t′	NUM
ejpam-6382	185	21	,	,	PUNCT
ejpam-6382	185	22	we	we	PRON
ejpam-6382	185	23	get	get	VERB
ejpam-6382	185	24	g	g	NOUN
ejpam-6382	185	25	(	(	PUNCT
ejpam-6382	185	26	r	r	NOUN
ejpam-6382	185	27	)	)	PUNCT
ejpam-6382	185	28	yl	yl	NOUN
ejpam-6382	185	29	(	(	PUNCT
ejpam-6382	185	30	t	t	NOUN
ejpam-6382	185	31	)	)	PUNCT
ejpam-6382	185	32	=	=	PROPN
ejpam-6382	185	33	dr	dr	PROPN
ejpam-6382	185	34	dtr	dtr	PROPN
ejpam-6382	185	35	gyl	gyl	NOUN
ejpam-6382	185	36	(	(	PUNCT
ejpam-6382	185	37	t	t	NOUN
ejpam-6382	185	38	)	)	PUNCT
ejpam-6382	185	39	=	=	SYM
ejpam-6382	185	40	1	1	NUM
ejpam-6382	185	41	q(y	q(y	X
ejpam-6382	185	42	;	;	PUNCT
ejpam-6382	185	43	ξ	ξ	X
ejpam-6382	185	44	)	)	PUNCT
ejpam-6382	185	45	∞∑	∞∑	NUM
ejpam-6382	185	46	y=1	y=1	SYM
ejpam-6382	185	47	y(r−1	y(r−1	PROPN
ejpam-6382	185	48	)	)	PUNCT
ejpam-6382	185	49	t	t	NOUN
ejpam-6382	185	50	y−r	y−r	NOUN
ejpam-6382	185	51	q(y	q(y	X
ejpam-6382	185	52	;	;	PUNCT
ejpam-6382	185	53	ξ	ξ	X
ejpam-6382	185	54	)	)	PUNCT
ejpam-6382	185	55	,	,	PUNCT
ejpam-6382	185	56	(	(	PUNCT
ejpam-6382	185	57	3.5	3.5	NUM
ejpam-6382	185	58	)	)	PUNCT
ejpam-6382	185	59	where	where	SCONJ
ejpam-6382	185	60	y(r−1	y(r−1	PUNCT
ejpam-6382	185	61	)	)	PUNCT
ejpam-6382	185	62	=	=	PUNCT
ejpam-6382	186	1	y(y	y(y	NOUN
ejpam-6382	186	2	−	−	PROPN
ejpam-6382	187	1	1)(y	1)(y	NUM
ejpam-6382	187	2	−	−	PROPN
ejpam-6382	188	1	2)	2)	NUM
ejpam-6382	188	2	....	....	PUNCT
ejpam-6382	189	1	(y	(y	DET
ejpam-6382	189	2	−	−	PROPN
ejpam-6382	189	3	r−	r−	PROPN
ejpam-6382	189	4	2)(y	2)(y	NUM
ejpam-6382	189	5	−	−	PROPN
ejpam-6382	189	6	r−	r−	PROPN
ejpam-6382	189	7	1	1	NUM
ejpam-6382	189	8	)	)	PUNCT
ejpam-6382	189	9	.	.	PUNCT
ejpam-6382	190	1	thus	thus	ADV
ejpam-6382	190	2	,	,	PUNCT
ejpam-6382	190	3	the	the	DET
ejpam-6382	190	4	rth	rth	PROPN
ejpam-6382	190	5	factorial	factorial	PROPN
ejpam-6382	190	6	moment	moment	NOUN
ejpam-6382	190	7	of	of	ADP
ejpam-6382	190	8	lbdfw	lbdfw	ADJ
ejpam-6382	190	9	model	model	NOUN
ejpam-6382	190	10	is	be	AUX
ejpam-6382	190	11	given	give	VERB
ejpam-6382	190	12	by	by	ADP
ejpam-6382	190	13	e[y	e[y	NOUN
ejpam-6382	190	14	(	(	PUNCT
ejpam-6382	190	15	r	r	NOUN
ejpam-6382	190	16	)	)	PUNCT
ejpam-6382	190	17	l	l	NOUN
ejpam-6382	190	18	]	]	PUNCT
ejpam-6382	191	1	=	=	SYM
ejpam-6382	191	2	g	g	NOUN
ejpam-6382	191	3	(	(	PUNCT
ejpam-6382	191	4	r	r	NOUN
ejpam-6382	191	5	)	)	PUNCT
ejpam-6382	191	6	yl	yl	NOUN
ejpam-6382	191	7	(	(	PUNCT
ejpam-6382	191	8	t	t	PROPN
ejpam-6382	191	9	)	)	PUNCT
ejpam-6382	191	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6382	191	11	t=1	t=1	SYM
ejpam-6382	191	12	=	=	SYM
ejpam-6382	191	13	1	1	NUM
ejpam-6382	191	14	q(y	q(y	X
ejpam-6382	191	15	;	;	PUNCT
ejpam-6382	191	16	ξ	ξ	X
ejpam-6382	191	17	)	)	PUNCT
ejpam-6382	191	18	∞∑	∞∑	NUM
ejpam-6382	191	19	y=1	y=1	SYM
ejpam-6382	191	20	y(r−1	y(r−1	NOUN
ejpam-6382	191	21	)	)	PUNCT
ejpam-6382	191	22	q(y	q(y	PROPN
ejpam-6382	191	23	;	;	PUNCT
ejpam-6382	191	24	ξ	ξ	X
ejpam-6382	191	25	)	)	PUNCT
ejpam-6382	191	26	,	,	PUNCT
ejpam-6382	191	27	(	(	PUNCT
ejpam-6382	191	28	3.6	3.6	NUM
ejpam-6382	191	29	)	)	PUNCT
ejpam-6382	191	30	where	where	SCONJ
ejpam-6382	191	31	y(r−1	y(r−1	PUNCT
ejpam-6382	191	32	)	)	PUNCT
ejpam-6382	191	33	=	=	PUNCT
ejpam-6382	192	1	y(y	y(y	NOUN
ejpam-6382	192	2	−	−	PROPN
ejpam-6382	193	1	1)(y	1)(y	NUM
ejpam-6382	193	2	−	−	PROPN
ejpam-6382	193	3	2)	2)	NUM
ejpam-6382	193	4	....	....	PUNCT
ejpam-6382	194	1	(y	(y	PRON
ejpam-6382	194	2	−	−	PROPN
ejpam-6382	194	3	r	r	NOUN
ejpam-6382	194	4	−	−	NUM
ejpam-6382	194	5	2)(y	2)(y	NUM
ejpam-6382	194	6	−	−	NOUN
ejpam-6382	194	7	r	r	NOUN
ejpam-6382	194	8	−	−	NOUN
ejpam-6382	194	9	1	1	NUM
ejpam-6382	194	10	)	)	PUNCT
ejpam-6382	194	11	and	and	CCONJ
ejpam-6382	194	12	the	the	DET
ejpam-6382	194	13	terms	term	NOUN
ejpam-6382	194	14	q(y	q(y	X
ejpam-6382	194	15	;	;	PUNCT
ejpam-6382	194	16	ξ	ξ	X
ejpam-6382	194	17	)	)	PUNCT
ejpam-6382	194	18	and	and	CCONJ
ejpam-6382	194	19	q(y	q(y	PROPN
ejpam-6382	194	20	;	;	PUNCT
ejpam-6382	194	21	ξ	ξ	X
ejpam-6382	194	22	)	)	PUNCT
ejpam-6382	194	23	are	be	AUX
ejpam-6382	194	24	as	as	ADV
ejpam-6382	194	25	defined	define	VERB
ejpam-6382	194	26	in	in	ADP
ejpam-6382	194	27	eq.(2.4	eq.(2.4	NOUN
ejpam-6382	194	28	)	)	PUNCT
ejpam-6382	194	29	and	and	CCONJ
ejpam-6382	194	30	eq.(2.5	eq.(2.5	NOUN
ejpam-6382	194	31	)	)	PUNCT
ejpam-6382	194	32	,	,	PUNCT
ejpam-6382	194	33	respectively	respectively	ADV
ejpam-6382	194	34	.	.	PUNCT
ejpam-6382	195	1	3.5	3.5	NUM
ejpam-6382	195	2	.	.	PUNCT
ejpam-6382	196	1	descriptive	descriptive	ADJ
ejpam-6382	196	2	statistical	statistical	ADJ
ejpam-6382	196	3	analysis	analysis	NOUN
ejpam-6382	196	4	and	and	CCONJ
ejpam-6382	196	5	numerical	numerical	ADJ
ejpam-6382	196	6	computations	computation	NOUN
ejpam-6382	196	7	this	this	DET
ejpam-6382	196	8	section	section	NOUN
ejpam-6382	196	9	presents	present	VERB
ejpam-6382	196	10	an	an	DET
ejpam-6382	196	11	analysis	analysis	NOUN
ejpam-6382	196	12	of	of	ADP
ejpam-6382	196	13	the	the	DET
ejpam-6382	196	14	behavior	behavior	NOUN
ejpam-6382	196	15	of	of	ADP
ejpam-6382	196	16	several	several	ADJ
ejpam-6382	196	17	key	key	ADJ
ejpam-6382	196	18	statistical	statistical	ADJ
ejpam-6382	196	19	measures	measure	NOUN
ejpam-6382	196	20	namely	namely	ADV
ejpam-6382	196	21	,	,	PUNCT
ejpam-6382	196	22	the	the	DET
ejpam-6382	196	23	mean	mean	ADJ
ejpam-6382	196	24	(	(	PUNCT
ejpam-6382	196	25	µ	µ	NOUN
ejpam-6382	196	26	)	)	PUNCT
ejpam-6382	196	27	,	,	PUNCT
ejpam-6382	196	28	median	median	NOUN
ejpam-6382	196	29	(	(	PUNCT
ejpam-6382	196	30	med	med	PROPN
ejpam-6382	196	31	)	)	PUNCT
ejpam-6382	196	32	,	,	PUNCT
ejpam-6382	196	33	variance	variance	NOUN
ejpam-6382	196	34	(	(	PUNCT
ejpam-6382	196	35	σ2	σ2	NOUN
ejpam-6382	196	36	)	)	PUNCT
ejpam-6382	196	37	,	,	PUNCT
ejpam-6382	196	38	skewness	skewness	NOUN
ejpam-6382	196	39	(	(	PUNCT
ejpam-6382	196	40	sk	sk	PROPN
ejpam-6382	196	41	)	)	PUNCT
ejpam-6382	196	42	,	,	PUNCT
ejpam-6382	196	43	kurtosis	kurtosis	NOUN
ejpam-6382	196	44	(	(	PUNCT
ejpam-6382	196	45	kr	kr	PROPN
ejpam-6382	196	46	)	)	PUNCT
ejpam-6382	196	47	,	,	PUNCT
ejpam-6382	196	48	and	and	CCONJ
ejpam-6382	196	49	index	index	NOUN
ejpam-6382	196	50	of	of	ADP
ejpam-6382	196	51	dispersion	dispersion	NOUN
ejpam-6382	196	52	(	(	PUNCT
ejpam-6382	196	53	i	i	NOUN
ejpam-6382	196	54	d	d	PROPN
ejpam-6382	196	55	)	)	PUNCT
ejpam-6382	196	56	for	for	ADP
ejpam-6382	196	57	the	the	DET
ejpam-6382	196	58	lbdfw	lbdfw	ADJ
ejpam-6382	196	59	model	model	NOUN
ejpam-6382	196	60	under	under	ADP
ejpam-6382	196	61	varying	vary	VERB
ejpam-6382	196	62	values	value	NOUN
ejpam-6382	196	63	of	of	ADP
ejpam-6382	196	64	the	the	DET
ejpam-6382	196	65	parameters	parameter	NOUN
ejpam-6382	196	66	α	α	NOUN
ejpam-6382	196	67	,	,	PUNCT
ejpam-6382	196	68	β	β	X
ejpam-6382	196	69	,	,	PUNCT
ejpam-6382	196	70	m	m	PROPN
ejpam-6382	196	71	,	,	PUNCT
ejpam-6382	196	72	and	and	CCONJ
ejpam-6382	196	73	k.	k.	X
ejpam-6382	197	1	the	the	DET
ejpam-6382	197	2	numerical	numerical	PROPN
ejpam-6382	197	3	computations	computation	NOUN
ejpam-6382	197	4	were	be	AUX
ejpam-6382	197	5	executed	execute	VERB
ejpam-6382	197	6	using	use	VERB
ejpam-6382	197	7	r	r	NOUN
ejpam-6382	197	8	software	software	NOUN
ejpam-6382	197	9	,	,	PUNCT
ejpam-6382	197	10	and	and	CCONJ
ejpam-6382	197	11	the	the	DET
ejpam-6382	197	12	corresponding	corresponding	ADJ
ejpam-6382	197	13	results	result	NOUN
ejpam-6382	197	14	are	be	AUX
ejpam-6382	197	15	summarized	summarize	VERB
ejpam-6382	197	16	in	in	ADP
ejpam-6382	197	17	table	table	NOUN
ejpam-6382	197	18	1	1	NUM
ejpam-6382	197	19	.	.	PUNCT
ejpam-6382	198	1	from	from	ADP
ejpam-6382	198	2	the	the	DET
ejpam-6382	198	3	observations	observation	NOUN
ejpam-6382	198	4	in	in	ADP
ejpam-6382	198	5	table	table	NOUN
ejpam-6382	198	6	1	1	NUM
ejpam-6382	198	7	,	,	PUNCT
ejpam-6382	198	8	several	several	ADJ
ejpam-6382	198	9	important	important	ADJ
ejpam-6382	198	10	conclusions	conclusion	NOUN
ejpam-6382	198	11	can	can	AUX
ejpam-6382	198	12	be	be	AUX
ejpam-6382	198	13	drawn	draw	VERB
ejpam-6382	198	14	regarding	regard	VERB
ejpam-6382	198	15	the	the	DET
ejpam-6382	198	16	performance	performance	NOUN
ejpam-6382	198	17	of	of	ADP
ejpam-6382	198	18	the	the	DET
ejpam-6382	198	19	proposed	propose	VERB
ejpam-6382	198	20	model	model	NOUN
ejpam-6382	198	21	across	across	ADP
ejpam-6382	198	22	different	different	ADJ
ejpam-6382	198	23	types	type	NOUN
ejpam-6382	198	24	of	of	ADP
ejpam-6382	198	25	count	count	NOUN
ejpam-6382	198	26	data	datum	NOUN
ejpam-6382	198	27	.	.	PUNCT
ejpam-6382	199	1	first	first	ADV
ejpam-6382	199	2	,	,	PUNCT
ejpam-6382	199	3	the	the	DET
ejpam-6382	199	4	model	model	NOUN
ejpam-6382	199	5	proves	prove	VERB
ejpam-6382	199	6	to	to	PART
ejpam-6382	199	7	be	be	AUX
ejpam-6382	199	8	particularly	particularly	ADV
ejpam-6382	199	9	suitable	suitable	ADJ
ejpam-6382	199	10	for	for	ADP
ejpam-6382	199	11	datasets	dataset	NOUN
ejpam-6382	199	12	that	that	PRON
ejpam-6382	199	13	exhibit	exhibit	VERB
ejpam-6382	199	14	positive	positive	ADJ
ejpam-6382	199	15	skewness	skewness	NOUN
ejpam-6382	199	16	,	,	PUNCT
ejpam-6382	199	17	which	which	PRON
ejpam-6382	199	18	is	be	AUX
ejpam-6382	199	19	commonly	commonly	ADV
ejpam-6382	199	20	encountered	encounter	VERB
ejpam-6382	199	21	in	in	ADP
ejpam-6382	199	22	situations	situation	NOUN
ejpam-6382	199	23	where	where	SCONJ
ejpam-6382	199	24	events	event	NOUN
ejpam-6382	199	25	are	be	AUX
ejpam-6382	199	26	rare	rare	ADJ
ejpam-6382	199	27	,	,	PUNCT
ejpam-6382	199	28	and	and	CCONJ
ejpam-6382	199	29	most	most	ADJ
ejpam-6382	199	30	counts	count	NOUN
ejpam-6382	199	31	are	be	AUX
ejpam-6382	199	32	d.	d.	PROPN
ejpam-6382	199	33	das	das	PROPN
ejpam-6382	199	34	et	et	PROPN
ejpam-6382	199	35	al	al	PROPN
ejpam-6382	199	36	.	.	PUNCT
ejpam-6382	199	37	/	/	SYM
ejpam-6382	199	38	eur	eur	PROPN
ejpam-6382	199	39	.	.	PUNCT
ejpam-6382	200	1	j.	j.	PROPN
ejpam-6382	200	2	pure	pure	PROPN
ejpam-6382	200	3	appl	appl	PROPN
ejpam-6382	200	4	.	.	PROPN
ejpam-6382	200	5	math	math	PROPN
ejpam-6382	200	6	,	,	PUNCT
ejpam-6382	200	7	18	18	NUM
ejpam-6382	200	8	(	(	PUNCT
ejpam-6382	200	9	3	3	NUM
ejpam-6382	200	10	)	)	PUNCT
ejpam-6382	200	11	(	(	PUNCT
ejpam-6382	200	12	2025	2025	NUM
ejpam-6382	200	13	)	)	PUNCT
ejpam-6382	200	14	,	,	PUNCT
ejpam-6382	200	15	6382	6382	NUM
ejpam-6382	200	16	12	12	NUM
ejpam-6382	200	17	of	of	ADP
ejpam-6382	200	18	29	29	NUM
ejpam-6382	200	19	table	table	NOUN
ejpam-6382	200	20	1	1	NUM
ejpam-6382	200	21	:	:	PUNCT
ejpam-6382	200	22	descriptive	descriptive	ADJ
ejpam-6382	200	23	statistics	statistic	NOUN
ejpam-6382	200	24	of	of	ADP
ejpam-6382	200	25	the	the	DET
ejpam-6382	200	26	lbdfw	lbdfw	PROPN
ejpam-6382	200	27	model	model	NOUN
ejpam-6382	200	28	.	.	PUNCT
ejpam-6382	201	1	α	α	X
ejpam-6382	201	2	β	β	X
ejpam-6382	201	3	m	m	VERB
ejpam-6382	201	4	k	k	PROPN
ejpam-6382	201	5	µ	µ	X
ejpam-6382	201	6	med	med	PROPN
ejpam-6382	201	7	σ2	σ2	PROPN
ejpam-6382	201	8	sk	sk	VERB
ejpam-6382	201	9	kr	kr	PROPN
ejpam-6382	201	10	i	i	PROPN
ejpam-6382	201	11	d	d	PROPN
ejpam-6382	201	12	2.5	2.5	NUM
ejpam-6382	201	13	24.21	24.21	NUM
ejpam-6382	201	14	25.06	25.06	NUM
ejpam-6382	201	15	20.06667	20.06667	NUM
ejpam-6382	201	16	1.35324	1.35324	NUM
ejpam-6382	201	17	4.05788	4.05788	NUM
ejpam-6382	201	18	0.82886	0.82886	NUM
ejpam-6382	201	19	3.9	3.9	NUM
ejpam-6382	201	20	15.32	15.32	NUM
ejpam-6382	201	21	18.23	18.23	NUM
ejpam-6382	201	22	17.34444	17.34444	NUM
ejpam-6382	201	23	1.35265	1.35265	NUM
ejpam-6382	201	24	3.88372	3.88372	NUM
ejpam-6382	201	25	1.13214	1.13214	NUM
ejpam-6382	201	26	4.9	4.9	NUM
ejpam-6382	201	27	5.7	5.7	NUM
ejpam-6382	201	28	3.4	3.4	NUM
ejpam-6382	201	29	1.2	1.2	NUM
ejpam-6382	201	30	14.53	14.53	NUM
ejpam-6382	201	31	15.16	15.16	NUM
ejpam-6382	201	32	10.76667	10.76667	NUM
ejpam-6382	201	33	0.42404	0.42404	NUM
ejpam-6382	201	34	1.80627	1.80627	NUM
ejpam-6382	201	35	0.74100	0.74100	NUM
ejpam-6382	201	36	5.5	5.5	NUM
ejpam-6382	201	37	13.34	13.34	NUM
ejpam-6382	201	38	13.95	13.95	NUM
ejpam-6382	201	39	2.900000	2.900000	NUM
ejpam-6382	201	40	0.18012	0.18012	NUM
ejpam-6382	201	41	1.89628	1.89628	NUM
ejpam-6382	201	42	0.21739	0.21739	NUM
ejpam-6382	201	43	7.9	7.9	NUM
ejpam-6382	201	44	12.75	12.75	NUM
ejpam-6382	201	45	14.68	14.68	NUM
ejpam-6382	201	46	2.100000	2.100000	NUM
ejpam-6382	201	47	0.07684	0.07684	NUM
ejpam-6382	201	48	1.89276	1.89276	NUM
ejpam-6382	201	49	0.16471	0.16471	NUM
ejpam-6382	201	50	0.7	0.7	NUM
ejpam-6382	201	51	1.30	1.30	NUM
ejpam-6382	201	52	1.57	1.57	NUM
ejpam-6382	201	53	0.47475	0.47475	NUM
ejpam-6382	202	1	2.14142	2.14142	NUM
ejpam-6382	202	2	8.46582	8.46582	NUM
ejpam-6382	202	3	0.36519	0.36519	NUM
ejpam-6382	202	4	1.7	1.7	NUM
ejpam-6382	202	5	4.17	4.17	NUM
ejpam-6382	202	6	5.41	5.41	NUM
ejpam-6382	202	7	1.37485	1.37485	NUM
ejpam-6382	202	8	2.42512	2.42512	NUM
ejpam-6382	202	9	13.39448	13.39448	NUM
ejpam-6382	202	10	0.32969	0.32969	NUM
ejpam-6382	202	11	5.7	5.7	NUM
ejpam-6382	202	12	2.7	2.7	NUM
ejpam-6382	202	13	3.0	3.0	NUM
ejpam-6382	202	14	2.5	2.5	NUM
ejpam-6382	202	15	7.21	7.21	NUM
ejpam-6382	202	16	7.92	7.92	NUM
ejpam-6382	202	17	3.39989	3.39989	NUM
ejpam-6382	202	18	1.89471	1.89471	NUM
ejpam-6382	202	19	8.13549	8.13549	NUM
ejpam-6382	202	20	0.47155	0.47155	NUM
ejpam-6382	202	21	3.7	3.7	NUM
ejpam-6382	202	22	9.56	9.56	NUM
ejpam-6382	202	23	12.14	12.14	NUM
ejpam-6382	202	24	5.42242	5.42242	NUM
ejpam-6382	202	25	0.99227	0.99227	NUM
ejpam-6382	202	26	3.73424	3.73424	NUM
ejpam-6382	202	27	0.56719	0.56719	NUM
ejpam-6382	202	28	5.7	5.7	NUM
ejpam-6382	202	29	14.46	14.46	NUM
ejpam-6382	202	30	15.30	15.30	NUM
ejpam-6382	202	31	14.39232	14.39232	NUM
ejpam-6382	202	32	2.86742	2.86742	NUM
ejpam-6382	202	33	15.27046	15.27046	NUM
ejpam-6382	202	34	0.99532	0.99532	NUM
ejpam-6382	202	35	0.8	0.8	NUM
ejpam-6382	202	36	0.32	0.32	NUM
ejpam-6382	202	37	0.65	0.65	NUM
ejpam-6382	202	38	0.42182	0.42182	NUM
ejpam-6382	202	39	2.46918	2.46918	NUM
ejpam-6382	202	40	12.38623	12.38623	NUM
ejpam-6382	202	41	1.31818	1.31818	NUM
ejpam-6382	202	42	1.8	1.8	NUM
ejpam-6382	202	43	2.37	2.37	NUM
ejpam-6382	202	44	3.04	3.04	NUM
ejpam-6382	202	45	2.01323	2.01323	NUM
ejpam-6382	202	46	1.58753	1.58753	NUM
ejpam-6382	202	47	5.76545	5.76545	NUM
ejpam-6382	202	48	0.84947	0.84947	NUM
ejpam-6382	202	49	1.9	1.9	NUM
ejpam-6382	202	50	3.7	3.7	NUM
ejpam-6382	202	51	2.5	2.5	NUM
ejpam-6382	202	52	2.2	2.2	NUM
ejpam-6382	202	53	4.00	4.00	NUM
ejpam-6382	202	54	4.83	4.83	NUM
ejpam-6382	202	55	2.94949	2.94949	NUM
ejpam-6382	202	56	1.26260	1.26260	NUM
ejpam-6382	202	57	5.42316	5.42316	NUM
ejpam-6382	202	58	0.73737	0.73737	NUM
ejpam-6382	202	59	3.5	3.5	NUM
ejpam-6382	202	60	5.96	5.96	NUM
ejpam-6382	202	61	7.08	7.08	NUM
ejpam-6382	202	62	7.02869	7.02869	NUM
ejpam-6382	202	63	1.54696	1.54696	NUM
ejpam-6382	202	64	5.30689	5.30689	NUM
ejpam-6382	202	65	1.17931	1.17931	NUM
ejpam-6382	202	66	4.7	4.7	NUM
ejpam-6382	202	67	8.73	8.73	NUM
ejpam-6382	202	68	9.15	9.15	NUM
ejpam-6382	202	69	11.20919	11.20919	NUM
ejpam-6382	202	70	0.86267	0.86267	NUM
ejpam-6382	203	1	7.71215	7.71215	NUM
ejpam-6382	203	2	1.28399	1.28399	NUM
ejpam-6382	203	3	2.8	2.8	NUM
ejpam-6382	203	4	5.22	5.22	NUM
ejpam-6382	203	5	7.20	7.20	NUM
ejpam-6382	203	6	1.64808	1.64808	NUM
ejpam-6382	203	7	1.42627	1.42627	NUM
ejpam-6382	203	8	5.32961	5.32961	NUM
ejpam-6382	203	9	0.31572	0.31572	NUM
ejpam-6382	203	10	3.3	3.3	NUM
ejpam-6382	203	11	4.34	4.34	NUM
ejpam-6382	203	12	6.31	6.31	NUM
ejpam-6382	203	13	0.77212	0.77212	NUM
ejpam-6382	203	14	1.25840	1.25840	NUM
ejpam-6382	203	15	6.01170	6.01170	NUM
ejpam-6382	203	16	0.17791	0.17791	NUM
ejpam-6382	203	17	2.5	2.5	NUM
ejpam-6382	203	18	7.7	7.7	NUM
ejpam-6382	203	19	3.0	3.0	NUM
ejpam-6382	203	20	5.4	5.4	NUM
ejpam-6382	203	21	3.16	3.16	NUM
ejpam-6382	203	22	4.82	4.82	NUM
ejpam-6382	203	23	0.33778	0.33778	NUM
ejpam-6382	203	24	3.38924	3.38924	NUM
ejpam-6382	203	25	7.53870	7.53870	NUM
ejpam-6382	203	26	0.10689	0.10689	NUM
ejpam-6382	203	27	6.8	6.8	NUM
ejpam-6382	203	28	2.76	2.76	NUM
ejpam-6382	203	29	3.09	3.09	NUM
ejpam-6382	203	30	0.26505	0.26505	NUM
ejpam-6382	203	31	0.27711	0.27711	NUM
ejpam-6382	203	32	2.76294	2.76294	NUM
ejpam-6382	203	33	0.09603	0.09603	NUM
ejpam-6382	203	34	7.2	7.2	NUM
ejpam-6382	203	35	2.61	2.61	NUM
ejpam-6382	203	36	3.59	3.59	NUM
ejpam-6382	203	37	0.20091	0.20091	NUM
ejpam-6382	203	38	0.10986	0.10986	NUM
ejpam-6382	203	39	2.06060	2.06060	NUM
ejpam-6382	203	40	0.11529	0.11529	NUM
ejpam-6382	203	41	concentrated	concentrate	VERB
ejpam-6382	203	42	at	at	ADP
ejpam-6382	203	43	lower	low	ADJ
ejpam-6382	203	44	values	value	NOUN
ejpam-6382	203	45	.	.	PUNCT
ejpam-6382	204	1	additionally	additionally	ADV
ejpam-6382	204	2	,	,	PUNCT
ejpam-6382	204	3	the	the	DET
ejpam-6382	204	4	proposed	propose	VERB
ejpam-6382	204	5	model	model	NOUN
ejpam-6382	204	6	is	be	AUX
ejpam-6382	204	7	versatile	versatile	ADJ
ejpam-6382	204	8	in	in	ADP
ejpam-6382	204	9	handling	handle	VERB
ejpam-6382	204	10	both	both	CCONJ
ejpam-6382	204	11	platykurtic	platykurtic	ADJ
ejpam-6382	204	12	distributions	distribution	NOUN
ejpam-6382	204	13	(	(	PUNCT
ejpam-6382	204	14	where	where	SCONJ
ejpam-6382	204	15	kurtosis	kurtosis	VERB
ejpam-6382	204	16	<	<	X
ejpam-6382	204	17	3	3	NUM
ejpam-6382	204	18	)	)	PUNCT
ejpam-6382	204	19	,	,	PUNCT
ejpam-6382	204	20	characterized	characterize	VERB
ejpam-6382	204	21	by	by	ADP
ejpam-6382	204	22	lighter	light	ADJ
ejpam-6382	204	23	tails	tail	NOUN
ejpam-6382	204	24	,	,	PUNCT
ejpam-6382	204	25	and	and	CCONJ
ejpam-6382	204	26	leptokurtic	leptokurtic	ADJ
ejpam-6382	204	27	distributions	distribution	NOUN
ejpam-6382	204	28	(	(	PUNCT
ejpam-6382	204	29	where	where	SCONJ
ejpam-6382	204	30	kurtosis	kurtosis	NOUN
ejpam-6382	204	31	>	>	X
ejpam-6382	204	32	3	3	NUM
ejpam-6382	204	33	)	)	PUNCT
ejpam-6382	204	34	,	,	PUNCT
ejpam-6382	204	35	which	which	PRON
ejpam-6382	204	36	feature	feature	VERB
ejpam-6382	204	37	heavier	heavy	ADJ
ejpam-6382	204	38	tails	tail	NOUN
ejpam-6382	204	39	and	and	CCONJ
ejpam-6382	204	40	a	a	DET
ejpam-6382	204	41	sharper	sharp	ADJ
ejpam-6382	204	42	peak	peak	NOUN
ejpam-6382	204	43	at	at	ADP
ejpam-6382	204	44	the	the	DET
ejpam-6382	204	45	mean	mean	NOUN
ejpam-6382	204	46	.	.	PUNCT
ejpam-6382	205	1	this	this	DET
ejpam-6382	205	2	adaptability	adaptability	NOUN
ejpam-6382	205	3	makes	make	VERB
ejpam-6382	205	4	the	the	DET
ejpam-6382	205	5	model	model	NOUN
ejpam-6382	205	6	applicable	applicable	ADJ
ejpam-6382	205	7	to	to	ADP
ejpam-6382	205	8	a	a	DET
ejpam-6382	205	9	wide	wide	ADJ
ejpam-6382	205	10	variety	variety	NOUN
ejpam-6382	205	11	of	of	ADP
ejpam-6382	205	12	empirical	empirical	ADJ
ejpam-6382	205	13	count	count	NOUN
ejpam-6382	205	14	data	datum	NOUN
ejpam-6382	205	15	exhibiting	exhibit	VERB
ejpam-6382	205	16	different	different	ADJ
ejpam-6382	205	17	tail	tail	NOUN
ejpam-6382	205	18	behaviors	behavior	NOUN
ejpam-6382	205	19	.	.	PUNCT
ejpam-6382	206	1	furthermore	furthermore	ADV
ejpam-6382	206	2	,	,	PUNCT
ejpam-6382	206	3	it	it	PRON
ejpam-6382	206	4	is	be	AUX
ejpam-6382	206	5	observed	observe	VERB
ejpam-6382	206	6	that	that	SCONJ
ejpam-6382	206	7	as	as	SCONJ
ejpam-6382	206	8	the	the	DET
ejpam-6382	206	9	shape	shape	NOUN
ejpam-6382	206	10	parameters	parameter	NOUN
ejpam-6382	206	11	α	α	NOUN
ejpam-6382	206	12	and	and	CCONJ
ejpam-6382	206	13	k	k	PROPN
ejpam-6382	206	14	increase	increase	NOUN
ejpam-6382	206	15	,	,	PUNCT
ejpam-6382	206	16	both	both	CCONJ
ejpam-6382	206	17	the	the	DET
ejpam-6382	206	18	mean	mean	ADJ
ejpam-6382	206	19	and	and	CCONJ
ejpam-6382	206	20	variance	variance	NOUN
ejpam-6382	206	21	decrease	decrease	NOUN
ejpam-6382	206	22	.	.	PUNCT
ejpam-6382	207	1	this	this	DET
ejpam-6382	207	2	behavior	behavior	NOUN
ejpam-6382	207	3	indicates	indicate	VERB
ejpam-6382	207	4	that	that	SCONJ
ejpam-6382	207	5	higher	high	ADJ
ejpam-6382	207	6	values	value	NOUN
ejpam-6382	207	7	of	of	ADP
ejpam-6382	207	8	these	these	DET
ejpam-6382	207	9	parameters	parameter	NOUN
ejpam-6382	207	10	result	result	VERB
ejpam-6382	207	11	in	in	ADP
ejpam-6382	207	12	more	more	ADV
ejpam-6382	207	13	concentrated	concentrated	ADJ
ejpam-6382	207	14	distributions	distribution	NOUN
ejpam-6382	207	15	,	,	PUNCT
ejpam-6382	207	16	often	often	ADV
ejpam-6382	207	17	representing	represent	VERB
ejpam-6382	207	18	data	datum	NOUN
ejpam-6382	207	19	with	with	ADP
ejpam-6382	207	20	lower	low	ADJ
ejpam-6382	207	21	variability	variability	NOUN
ejpam-6382	207	22	and	and	CCONJ
ejpam-6382	207	23	smaller	small	ADJ
ejpam-6382	207	24	expected	expect	VERB
ejpam-6382	207	25	counts	count	NOUN
ejpam-6382	207	26	.	.	PUNCT
ejpam-6382	208	1	in	in	ADP
ejpam-6382	208	2	contrast	contrast	NOUN
ejpam-6382	208	3	,	,	PUNCT
ejpam-6382	208	4	an	an	DET
ejpam-6382	208	5	increase	increase	NOUN
ejpam-6382	208	6	in	in	ADP
ejpam-6382	208	7	the	the	DET
ejpam-6382	208	8	scale	scale	NOUN
ejpam-6382	208	9	parameters	parameter	NOUN
ejpam-6382	208	10	β	β	X
ejpam-6382	208	11	andm	andm	PROPN
ejpam-6382	208	12	leads	lead	VERB
ejpam-6382	208	13	to	to	ADP
ejpam-6382	208	14	an	an	DET
ejpam-6382	208	15	increase	increase	NOUN
ejpam-6382	208	16	in	in	ADP
ejpam-6382	208	17	both	both	CCONJ
ejpam-6382	208	18	the	the	DET
ejpam-6382	208	19	mean	mean	NOUN
ejpam-6382	208	20	and	and	CCONJ
ejpam-6382	208	21	variance	variance	NOUN
ejpam-6382	208	22	,	,	PUNCT
ejpam-6382	208	23	suggesting	suggest	VERB
ejpam-6382	208	24	that	that	SCONJ
ejpam-6382	208	25	larger	large	ADJ
ejpam-6382	208	26	scale	scale	NOUN
ejpam-6382	208	27	parameters	parameter	NOUN
ejpam-6382	208	28	expand	expand	VERB
ejpam-6382	208	29	the	the	DET
ejpam-6382	208	30	distribution	distribution	NOUN
ejpam-6382	208	31	,	,	PUNCT
ejpam-6382	208	32	leading	lead	VERB
ejpam-6382	208	33	to	to	ADP
ejpam-6382	208	34	higher	high	ADJ
ejpam-6382	208	35	expected	expect	VERB
ejpam-6382	208	36	counts	count	NOUN
ejpam-6382	208	37	and	and	CCONJ
ejpam-6382	208	38	greater	great	ADJ
ejpam-6382	208	39	dispersion	dispersion	NOUN
ejpam-6382	208	40	,	,	PUNCT
ejpam-6382	208	41	which	which	PRON
ejpam-6382	208	42	is	be	AUX
ejpam-6382	208	43	typically	typically	ADV
ejpam-6382	208	44	seen	see	VERB
ejpam-6382	208	45	in	in	ADP
ejpam-6382	208	46	overdispersed	overdisperse	VERB
ejpam-6382	208	47	count	count	NOUN
ejpam-6382	208	48	data	datum	NOUN
ejpam-6382	208	49	.	.	PUNCT
ejpam-6382	209	1	finally	finally	ADV
ejpam-6382	209	2	,	,	PUNCT
ejpam-6382	209	3	the	the	DET
ejpam-6382	209	4	proposed	propose	VERB
ejpam-6382	209	5	model	model	NOUN
ejpam-6382	209	6	demonstrates	demonstrate	VERB
ejpam-6382	209	7	its	its	PRON
ejpam-6382	209	8	flexibility	flexibility	NOUN
ejpam-6382	209	9	by	by	ADP
ejpam-6382	209	10	being	be	AUX
ejpam-6382	209	11	suitable	suitable	ADJ
ejpam-6382	209	12	for	for	ADP
ejpam-6382	209	13	modeling	model	VERB
ejpam-6382	209	14	count	count	NOUN
ejpam-6382	209	15	data	datum	NOUN
ejpam-6382	209	16	sets	set	NOUN
ejpam-6382	209	17	with	with	ADP
ejpam-6382	209	18	varying	vary	VERB
ejpam-6382	209	19	levels	level	NOUN
ejpam-6382	209	20	of	of	ADP
ejpam-6382	209	21	dispersion	dispersion	NOUN
ejpam-6382	209	22	.	.	PUNCT
ejpam-6382	210	1	it	it	PRON
ejpam-6382	210	2	can	can	AUX
ejpam-6382	210	3	effectively	effectively	ADV
ejpam-6382	210	4	handle	handle	VERB
ejpam-6382	210	5	both	both	DET
ejpam-6382	210	6	overdispersed	overdispersed	ADJ
ejpam-6382	210	7	data	datum	NOUN
ejpam-6382	210	8	(	(	PUNCT
ejpam-6382	210	9	where	where	SCONJ
ejpam-6382	210	10	the	the	DET
ejpam-6382	210	11	index	index	NOUN
ejpam-6382	210	12	of	of	ADP
ejpam-6382	210	13	dispersion	dispersion	NOUN
ejpam-6382	211	1	i	i	NOUN
ejpam-6382	211	2	d	d	PROPN
ejpam-6382	211	3	>	>	X
ejpam-6382	211	4	1	1	NUM
ejpam-6382	211	5	)	)	PUNCT
ejpam-6382	211	6	,	,	PUNCT
ejpam-6382	211	7	commonly	commonly	ADV
ejpam-6382	211	8	found	find	VERB
ejpam-6382	211	9	in	in	ADP
ejpam-6382	211	10	fields	field	NOUN
ejpam-6382	211	11	such	such	ADJ
ejpam-6382	211	12	as	as	ADP
ejpam-6382	211	13	insurance	insurance	NOUN
ejpam-6382	211	14	claims	claim	NOUN
ejpam-6382	211	15	and	and	CCONJ
ejpam-6382	211	16	ecological	ecological	ADJ
ejpam-6382	211	17	data	datum	NOUN
ejpam-6382	211	18	,	,	PUNCT
ejpam-6382	211	19	as	as	ADV
ejpam-6382	211	20	well	well	ADV
ejpam-6382	211	21	as	as	ADP
ejpam-6382	211	22	underdispersed	underdispersed	ADJ
ejpam-6382	211	23	data	datum	NOUN
ejpam-6382	211	24	(	(	PUNCT
ejpam-6382	211	25	where	where	SCONJ
ejpam-6382	211	26	i	i	PRON
ejpam-6382	211	27	d	d	X
ejpam-6382	211	28	<	<	X
ejpam-6382	211	29	1	1	NUM
ejpam-6382	211	30	)	)	PUNCT
ejpam-6382	211	31	,	,	PUNCT
ejpam-6382	211	32	which	which	PRON
ejpam-6382	211	33	is	be	AUX
ejpam-6382	211	34	often	often	ADV
ejpam-6382	211	35	observed	observe	VERB
ejpam-6382	211	36	in	in	ADP
ejpam-6382	211	37	more	more	ADV
ejpam-6382	211	38	tightly	tightly	ADV
ejpam-6382	211	39	controlled	control	VERB
ejpam-6382	211	40	or	or	CCONJ
ejpam-6382	211	41	regulated	regulated	ADJ
ejpam-6382	211	42	systems	system	NOUN
ejpam-6382	211	43	.	.	PUNCT
ejpam-6382	212	1	these	these	DET
ejpam-6382	212	2	characteristics	characteristic	NOUN
ejpam-6382	212	3	highlight	highlight	VERB
ejpam-6382	212	4	the	the	DET
ejpam-6382	212	5	model	model	NOUN
ejpam-6382	212	6	’s	’s	PART
ejpam-6382	212	7	capability	capability	NOUN
ejpam-6382	212	8	to	to	PART
ejpam-6382	212	9	capture	capture	VERB
ejpam-6382	212	10	the	the	DET
ejpam-6382	212	11	diverse	diverse	ADJ
ejpam-6382	212	12	range	range	NOUN
ejpam-6382	212	13	of	of	ADP
ejpam-6382	212	14	behaviors	behavior	NOUN
ejpam-6382	212	15	seen	see	VERB
ejpam-6382	212	16	in	in	ADP
ejpam-6382	212	17	real	real	ADJ
ejpam-6382	212	18	-	-	PUNCT
ejpam-6382	212	19	world	world	NOUN
ejpam-6382	212	20	count	count	NOUN
ejpam-6382	212	21	data	datum	NOUN
ejpam-6382	212	22	.	.	PUNCT
ejpam-6382	213	1	4	4	X
ejpam-6382	213	2	.	.	X
ejpam-6382	213	3	characterizations	characterization	NOUN
ejpam-6382	213	4	of	of	ADP
ejpam-6382	213	5	the	the	DET
ejpam-6382	213	6	lbdfw	lbdfw	ADJ
ejpam-6382	213	7	distribution	distribution	NOUN
ejpam-6382	213	8	characterizing	characterizing	NOUN
ejpam-6382	213	9	distributions	distribution	NOUN
ejpam-6382	213	10	is	be	AUX
ejpam-6382	213	11	a	a	DET
ejpam-6382	213	12	fundamental	fundamental	ADJ
ejpam-6382	213	13	aspect	aspect	NOUN
ejpam-6382	213	14	of	of	ADP
ejpam-6382	213	15	statistical	statistical	ADJ
ejpam-6382	213	16	research	research	NOUN
ejpam-6382	213	17	,	,	PUNCT
ejpam-6382	213	18	especially	especially	ADV
ejpam-6382	213	19	for	for	ADP
ejpam-6382	213	20	those	those	PRON
ejpam-6382	213	21	working	work	VERB
ejpam-6382	213	22	in	in	ADP
ejpam-6382	213	23	applied	apply	VERB
ejpam-6382	213	24	fields	field	NOUN
ejpam-6382	213	25	.	.	PUNCT
ejpam-6382	214	1	researchers	researcher	NOUN
ejpam-6382	214	2	often	often	ADV
ejpam-6382	214	3	seek	seek	VERB
ejpam-6382	214	4	to	to	PART
ejpam-6382	214	5	determine	determine	VERB
ejpam-6382	214	6	whether	whether	SCONJ
ejpam-6382	214	7	a	a	DET
ejpam-6382	214	8	given	give	VERB
ejpam-6382	214	9	model	model	NOUN
ejpam-6382	214	10	accurately	accurately	ADV
ejpam-6382	214	11	reflects	reflect	VERB
ejpam-6382	214	12	the	the	DET
ejpam-6382	214	13	characteristics	characteristic	NOUN
ejpam-6382	214	14	of	of	ADP
ejpam-6382	214	15	a	a	DET
ejpam-6382	214	16	specific	specific	ADJ
ejpam-6382	214	17	distribution	distribution	NOUN
ejpam-6382	214	18	,	,	PUNCT
ejpam-6382	214	19	as	as	ADP
ejpam-6382	214	20	this	this	DET
ejpam-6382	214	21	directly	directly	ADV
ejpam-6382	214	22	ind	ind	ADJ
ejpam-6382	214	23	.	.	PUNCT
ejpam-6382	215	1	das	das	PROPN
ejpam-6382	215	2	et	et	PROPN
ejpam-6382	215	3	al	al	PROPN
ejpam-6382	215	4	.	.	PUNCT
ejpam-6382	215	5	/	/	SYM
ejpam-6382	215	6	eur	eur	PROPN
ejpam-6382	215	7	.	.	PUNCT
ejpam-6382	216	1	j.	j.	PROPN
ejpam-6382	216	2	pure	pure	PROPN
ejpam-6382	216	3	appl	appl	PROPN
ejpam-6382	216	4	.	.	PROPN
ejpam-6382	216	5	math	math	PROPN
ejpam-6382	216	6	,	,	PUNCT
ejpam-6382	216	7	18	18	NUM
ejpam-6382	216	8	(	(	PUNCT
ejpam-6382	216	9	3	3	NUM
ejpam-6382	216	10	)	)	PUNCT
ejpam-6382	216	11	(	(	PUNCT
ejpam-6382	216	12	2025	2025	NUM
ejpam-6382	216	13	)	)	PUNCT
ejpam-6382	216	14	,	,	PUNCT
ejpam-6382	216	15	6382	6382	NUM
ejpam-6382	216	16	13	13	NUM
ejpam-6382	216	17	of	of	ADP
ejpam-6382	216	18	29	29	NUM
ejpam-6382	216	19	fluences	fluence	NOUN
ejpam-6382	216	20	the	the	DET
ejpam-6382	216	21	validity	validity	NOUN
ejpam-6382	216	22	and	and	CCONJ
ejpam-6382	216	23	applicability	applicability	NOUN
ejpam-6382	216	24	of	of	ADP
ejpam-6382	216	25	their	their	PRON
ejpam-6382	216	26	findings	finding	NOUN
ejpam-6382	216	27	.	.	PUNCT
ejpam-6382	217	1	to	to	PART
ejpam-6382	217	2	make	make	VERB
ejpam-6382	217	3	this	this	DET
ejpam-6382	217	4	determination	determination	NOUN
ejpam-6382	217	5	,	,	PUNCT
ejpam-6382	217	6	they	they	PRON
ejpam-6382	217	7	rely	rely	VERB
ejpam-6382	217	8	on	on	ADP
ejpam-6382	217	9	the	the	DET
ejpam-6382	217	10	characterizations	characterization	NOUN
ejpam-6382	217	11	of	of	ADP
ejpam-6382	217	12	the	the	DET
ejpam-6382	217	13	distribution	distribution	NOUN
ejpam-6382	217	14	,	,	PUNCT
ejpam-6382	217	15	which	which	PRON
ejpam-6382	217	16	provide	provide	VERB
ejpam-6382	217	17	conditions	condition	NOUN
ejpam-6382	217	18	and	and	CCONJ
ejpam-6382	217	19	criteria	criterion	NOUN
ejpam-6382	217	20	that	that	PRON
ejpam-6382	217	21	confirm	confirm	VERB
ejpam-6382	217	22	whether	whether	SCONJ
ejpam-6382	217	23	the	the	DET
ejpam-6382	217	24	data	datum	NOUN
ejpam-6382	217	25	conforms	conform	VERB
ejpam-6382	217	26	to	to	ADP
ejpam-6382	217	27	the	the	DET
ejpam-6382	217	28	assumed	assumed	ADJ
ejpam-6382	217	29	distribution	distribution	NOUN
ejpam-6382	217	30	.	.	PUNCT
ejpam-6382	218	1	this	this	DET
ejpam-6382	218	2	section	section	NOUN
ejpam-6382	218	3	is	be	AUX
ejpam-6382	218	4	dedicated	dedicate	VERB
ejpam-6382	218	5	to	to	ADP
ejpam-6382	218	6	exploring	explore	VERB
ejpam-6382	218	7	specific	specific	ADJ
ejpam-6382	218	8	characterizations	characterization	NOUN
ejpam-6382	218	9	of	of	ADP
ejpam-6382	218	10	the	the	DET
ejpam-6382	218	11	lbdfw	lbdfw	ADJ
ejpam-6382	218	12	model	model	NOUN
ejpam-6382	218	13	.	.	PUNCT
ejpam-6382	219	1	these	these	DET
ejpam-6382	219	2	characterizations	characterization	NOUN
ejpam-6382	219	3	are	be	AUX
ejpam-6382	219	4	based	base	VERB
ejpam-6382	219	5	on	on	ADP
ejpam-6382	219	6	two	two	NUM
ejpam-6382	219	7	main	main	ADJ
ejpam-6382	219	8	approaches	approach	NOUN
ejpam-6382	219	9	:	:	PUNCT
ejpam-6382	219	10	first	first	ADV
ejpam-6382	219	11	,	,	PUNCT
ejpam-6382	219	12	by	by	ADP
ejpam-6382	219	13	considering	consider	VERB
ejpam-6382	219	14	an	an	DET
ejpam-6382	219	15	appropriate	appropriate	ADJ
ejpam-6382	219	16	function	function	NOUN
ejpam-6382	219	17	of	of	ADP
ejpam-6382	219	18	the	the	DET
ejpam-6382	219	19	random	random	ADJ
ejpam-6382	219	20	variable	variable	NOUN
ejpam-6382	219	21	,	,	PUNCT
ejpam-6382	219	22	particularly	particularly	ADV
ejpam-6382	219	23	through	through	ADP
ejpam-6382	219	24	conditional	conditional	ADJ
ejpam-6382	219	25	expectation	expectation	NOUN
ejpam-6382	219	26	,	,	PUNCT
ejpam-6382	219	27	and	and	CCONJ
ejpam-6382	219	28	second	second	ADJ
ejpam-6382	219	29	,	,	PUNCT
ejpam-6382	219	30	by	by	ADP
ejpam-6382	219	31	examining	examine	VERB
ejpam-6382	219	32	the	the	DET
ejpam-6382	219	33	distribution	distribution	NOUN
ejpam-6382	219	34	in	in	ADP
ejpam-6382	219	35	terms	term	NOUN
ejpam-6382	219	36	of	of	ADP
ejpam-6382	219	37	the	the	DET
ejpam-6382	219	38	reverse	reverse	ADJ
ejpam-6382	219	39	hazard	hazard	NOUN
ejpam-6382	219	40	function	function	NOUN
ejpam-6382	219	41	.	.	PUNCT
ejpam-6382	220	1	both	both	PRON
ejpam-6382	220	2	of	of	ADP
ejpam-6382	220	3	these	these	DET
ejpam-6382	220	4	methods	method	NOUN
ejpam-6382	220	5	offer	offer	VERB
ejpam-6382	220	6	valuable	valuable	ADJ
ejpam-6382	220	7	insights	insight	NOUN
ejpam-6382	220	8	into	into	ADP
ejpam-6382	220	9	the	the	DET
ejpam-6382	220	10	properties	property	NOUN
ejpam-6382	220	11	of	of	ADP
ejpam-6382	220	12	the	the	DET
ejpam-6382	220	13	model	model	NOUN
ejpam-6382	220	14	,	,	PUNCT
ejpam-6382	220	15	enhancing	enhance	VERB
ejpam-6382	220	16	its	its	PRON
ejpam-6382	220	17	utility	utility	NOUN
ejpam-6382	220	18	in	in	ADP
ejpam-6382	220	19	real	real	ADJ
ejpam-6382	220	20	-	-	PUNCT
ejpam-6382	220	21	world	world	NOUN
ejpam-6382	220	22	applications	application	NOUN
ejpam-6382	220	23	and	and	CCONJ
ejpam-6382	220	24	allowing	allow	VERB
ejpam-6382	220	25	researchers	researcher	NOUN
ejpam-6382	220	26	to	to	PART
ejpam-6382	220	27	assess	assess	VERB
ejpam-6382	220	28	how	how	SCONJ
ejpam-6382	220	29	well	well	ADV
ejpam-6382	220	30	it	it	PRON
ejpam-6382	220	31	fits	fit	VERB
ejpam-6382	220	32	various	various	ADJ
ejpam-6382	220	33	data	datum	NOUN
ejpam-6382	220	34	scenarios	scenario	NOUN
ejpam-6382	220	35	.	.	PUNCT
ejpam-6382	221	1	4.1	4.1	NUM
ejpam-6382	221	2	.	.	PUNCT
ejpam-6382	221	3	characterizations	characterization	NOUN
ejpam-6382	221	4	based	base	VERB
ejpam-6382	221	5	on	on	ADP
ejpam-6382	221	6	conditional	conditional	ADJ
ejpam-6382	221	7	expectation	expectation	NOUN
ejpam-6382	221	8	in	in	ADP
ejpam-6382	221	9	this	this	DET
ejpam-6382	221	10	subsection	subsection	NOUN
ejpam-6382	221	11	,	,	PUNCT
ejpam-6382	221	12	we	we	PRON
ejpam-6382	221	13	present	present	VERB
ejpam-6382	221	14	our	our	PRON
ejpam-6382	221	15	first	first	ADJ
ejpam-6382	221	16	characterization	characterization	NOUN
ejpam-6382	221	17	of	of	ADP
ejpam-6382	221	18	lbdfw	lbdfw	ADJ
ejpam-6382	221	19	model	model	NOUN
ejpam-6382	221	20	in	in	ADP
ejpam-6382	221	21	terms	term	NOUN
ejpam-6382	221	22	of	of	ADP
ejpam-6382	221	23	the	the	DET
ejpam-6382	221	24	conditional	conditional	ADJ
ejpam-6382	221	25	expectation	expectation	NOUN
ejpam-6382	221	26	of	of	ADP
ejpam-6382	221	27	certain	certain	ADJ
ejpam-6382	221	28	functions	function	NOUN
ejpam-6382	221	29	of	of	ADP
ejpam-6382	221	30	the	the	DET
ejpam-6382	221	31	random	random	ADJ
ejpam-6382	221	32	variable	variable	NOUN
ejpam-6382	221	33	.	.	PUNCT
ejpam-6382	222	1	the	the	DET
ejpam-6382	222	2	choice	choice	NOUN
ejpam-6382	222	3	of	of	ADP
ejpam-6382	222	4	the	the	DET
ejpam-6382	222	5	function	function	NOUN
ejpam-6382	222	6	depends	depend	VERB
ejpam-6382	222	7	on	on	ADP
ejpam-6382	222	8	the	the	DET
ejpam-6382	222	9	form	form	NOUN
ejpam-6382	222	10	of	of	ADP
ejpam-6382	222	11	the	the	DET
ejpam-6382	222	12	pmf	pmf	PROPN
ejpam-6382	222	13	.	.	PUNCT
ejpam-6382	223	1	theorem	theorem	PROPN
ejpam-6382	223	2	1	1	NUM
ejpam-6382	223	3	.	.	PUNCT
ejpam-6382	224	1	let	let	VERB
ejpam-6382	224	2	y	y	PRON
ejpam-6382	224	3	:	:	PUNCT
ejpam-6382	224	4	ω	ω	PROPN
ejpam-6382	224	5	→	→	SYM
ejpam-6382	224	6	n∗	n∗	PROPN
ejpam-6382	224	7	(	(	PUNCT
ejpam-6382	224	8	n	n	ADP
ejpam-6382	224	9	∪	∪	X
ejpam-6382	224	10	{	{	PUNCT
ejpam-6382	224	11	0	0	NUM
ejpam-6382	224	12	}	}	PUNCT
ejpam-6382	224	13	)	)	PUNCT
ejpam-6382	224	14	be	be	AUX
ejpam-6382	224	15	a	a	DET
ejpam-6382	224	16	random	random	ADJ
ejpam-6382	224	17	variable	variable	NOUN
ejpam-6382	224	18	.	.	PUNCT
ejpam-6382	225	1	the	the	DET
ejpam-6382	225	2	pmf	pmf	PROPN
ejpam-6382	225	3	of	of	ADP
ejpam-6382	225	4	y	y	PROPN
ejpam-6382	225	5	is	be	AUX
ejpam-6382	225	6	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	225	7	)	)	PUNCT
ejpam-6382	226	1	if	if	SCONJ
ejpam-6382	226	2	and	and	CCONJ
ejpam-6382	226	3	only	only	ADV
ejpam-6382	226	4	if	if	SCONJ
ejpam-6382	226	5	e	e	X
ejpam-6382	226	6	{	{	PUNCT
ejpam-6382	227	1	[	[	X
ejpam-6382	227	2	c	c	X
ejpam-6382	227	3	(	(	PUNCT
ejpam-6382	227	4	y	y	PROPN
ejpam-6382	227	5	+	+	PROPN
ejpam-6382	227	6	1	1	NUM
ejpam-6382	227	7	;	;	PUNCT
ejpam-6382	227	8	ξ	ξ	X
ejpam-6382	227	9	)	)	PUNCT
ejpam-6382	227	10	+	+	NUM
ejpam-6382	227	11	c	c	X
ejpam-6382	227	12	(	(	PUNCT
ejpam-6382	227	13	y	y	NOUN
ejpam-6382	227	14	;	;	PUNCT
ejpam-6382	227	15	ξ	ξ	X
ejpam-6382	227	16	)	)	PUNCT
ejpam-6382	227	17	]	]	PUNCT
ejpam-6382	228	1	|	|	ADV
ejpam-6382	228	2	y	y	PROPN
ejpam-6382	228	3	≤	≤	PUNCT
ejpam-6382	228	4	k	k	X
ejpam-6382	228	5	}	}	PUNCT
ejpam-6382	228	6	=	=	SYM
ejpam-6382	228	7	c	c	X
ejpam-6382	228	8	(	(	PUNCT
ejpam-6382	228	9	k	k	PROPN
ejpam-6382	228	10	+	+	PROPN
ejpam-6382	228	11	1	1	NUM
ejpam-6382	228	12	;	;	PUNCT
ejpam-6382	228	13	ξ	ξ	X
ejpam-6382	228	14	)	)	PUNCT
ejpam-6382	228	15	.	.	PUNCT
ejpam-6382	229	1	(	(	PUNCT
ejpam-6382	229	2	4.1	4.1	NUM
ejpam-6382	229	3	)	)	PUNCT
ejpam-6382	229	4	proof	proof	NOUN
ejpam-6382	229	5	:	:	PUNCT
ejpam-6382	229	6	if	if	SCONJ
ejpam-6382	229	7	y	y	PROPN
ejpam-6382	229	8	has	have	VERB
ejpam-6382	229	9	pmf	pmf	NOUN
ejpam-6382	229	10	as	as	SCONJ
ejpam-6382	229	11	given	give	VERB
ejpam-6382	229	12	in	in	ADP
ejpam-6382	229	13	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	229	14	)	)	PUNCT
ejpam-6382	229	15	,	,	PUNCT
ejpam-6382	229	16	then	then	ADV
ejpam-6382	229	17	for	for	ADP
ejpam-6382	229	18	k	k	PROPN
ejpam-6382	229	19	∈	∈	PROPN
ejpam-6382	229	20	n	n	CCONJ
ejpam-6382	229	21	,	,	PUNCT
ejpam-6382	229	22	the	the	DET
ejpam-6382	229	23	left	left	ADJ
ejpam-6382	229	24	-	-	PUNCT
ejpam-6382	229	25	hand	hand	NOUN
ejpam-6382	229	26	side	side	NOUN
ejpam-6382	229	27	of	of	ADP
ejpam-6382	229	28	eq.(4.1	eq.(4.1	NOUN
ejpam-6382	229	29	)	)	PUNCT
ejpam-6382	229	30	,	,	PUNCT
ejpam-6382	229	31	using	use	VERB
ejpam-6382	229	32	telescoping	telescope	VERB
ejpam-6382	229	33	sum	sum	NOUN
ejpam-6382	229	34	formula	formula	NOUN
ejpam-6382	229	35	,	,	PUNCT
ejpam-6382	229	36	will	will	AUX
ejpam-6382	229	37	be	be	AUX
ejpam-6382	229	38	(	(	PUNCT
ejpam-6382	229	39	f	f	X
ejpam-6382	229	40	(	(	PUNCT
ejpam-6382	229	41	k))−1	k))−1	NOUN
ejpam-6382	229	42	k∑	k∑	VERB
ejpam-6382	229	43	y=0	y=0	NOUN
ejpam-6382	229	44	[	[	PUNCT
ejpam-6382	229	45	c	c	X
ejpam-6382	229	46	(	(	PUNCT
ejpam-6382	229	47	y	y	PROPN
ejpam-6382	229	48	+	+	PROPN
ejpam-6382	229	49	1	1	NUM
ejpam-6382	229	50	;	;	PUNCT
ejpam-6382	229	51	ξ)2	ξ)2	PROPN
ejpam-6382	229	52	−	−	PROPN
ejpam-6382	230	1	c	c	PROPN
ejpam-6382	230	2	(	(	PUNCT
ejpam-6382	230	3	y	y	NOUN
ejpam-6382	230	4	;	;	PUNCT
ejpam-6382	230	5	ξ)2	ξ)2	PROPN
ejpam-6382	230	6	]	]	PUNCT
ejpam-6382	231	1	=	=	PUNCT
ejpam-6382	231	2	c	c	X
ejpam-6382	231	3	(	(	PUNCT
ejpam-6382	231	4	k	k	PROPN
ejpam-6382	231	5	+	+	PROPN
ejpam-6382	231	6	1	1	NUM
ejpam-6382	231	7	;	;	PUNCT
ejpam-6382	231	8	ξ)−1c	ξ)−1c	NOUN
ejpam-6382	231	9	(	(	PUNCT
ejpam-6382	231	10	k	k	X
ejpam-6382	231	11	+	+	PROPN
ejpam-6382	231	12	1	1	NUM
ejpam-6382	231	13	;	;	PUNCT
ejpam-6382	231	14	ξ)2	ξ)2	PROPN
ejpam-6382	231	15	=	=	SYM
ejpam-6382	231	16	c	c	X
ejpam-6382	231	17	(	(	PUNCT
ejpam-6382	231	18	k	k	PROPN
ejpam-6382	231	19	+	+	PROPN
ejpam-6382	231	20	1	1	NUM
ejpam-6382	231	21	;	;	PUNCT
ejpam-6382	231	22	ξ	ξ	X
ejpam-6382	231	23	)	)	PUNCT
ejpam-6382	231	24	.	.	PUNCT
ejpam-6382	232	1	conversely	conversely	ADV
ejpam-6382	232	2	,	,	PUNCT
ejpam-6382	232	3	if	if	SCONJ
ejpam-6382	232	4	eq.(4.1	eq.(4.1	NOUN
ejpam-6382	232	5	)	)	PUNCT
ejpam-6382	232	6	holds	hold	VERB
ejpam-6382	232	7	,	,	PUNCT
ejpam-6382	232	8	then	then	ADV
ejpam-6382	232	9	k∑	k∑	VERB
ejpam-6382	232	10	y=0	y=0	PRON
ejpam-6382	232	11	{	{	PUNCT
ejpam-6382	233	1	[	[	X
ejpam-6382	233	2	c	c	X
ejpam-6382	233	3	(	(	PUNCT
ejpam-6382	233	4	y	y	PROPN
ejpam-6382	233	5	+	+	PROPN
ejpam-6382	233	6	1	1	NUM
ejpam-6382	233	7	;	;	PUNCT
ejpam-6382	233	8	ξ	ξ	X
ejpam-6382	233	9	)	)	PUNCT
ejpam-6382	234	1	+	+	NUM
ejpam-6382	234	2	c	c	X
ejpam-6382	234	3	(	(	PUNCT
ejpam-6382	234	4	y	y	NOUN
ejpam-6382	234	5	;	;	PUNCT
ejpam-6382	234	6	ξ	ξ	X
ejpam-6382	234	7	)	)	PUNCT
ejpam-6382	234	8	]	]	PUNCT
ejpam-6382	235	1	f	f	X
ejpam-6382	235	2	(	(	PUNCT
ejpam-6382	235	3	y	y	NOUN
ejpam-6382	235	4	)	)	PUNCT
ejpam-6382	235	5	}	}	PUNCT
ejpam-6382	236	1	=	=	SYM
ejpam-6382	236	2	f	f	PROPN
ejpam-6382	236	3	(	(	PUNCT
ejpam-6382	236	4	k)c	k)c	NOUN
ejpam-6382	236	5	(	(	PUNCT
ejpam-6382	236	6	k	k	X
ejpam-6382	236	7	+	+	PROPN
ejpam-6382	236	8	1	1	NUM
ejpam-6382	236	9	;	;	PUNCT
ejpam-6382	236	10	ξ	ξ	X
ejpam-6382	236	11	)	)	PUNCT
ejpam-6382	236	12	(	(	PUNCT
ejpam-6382	236	13	4.2	4.2	NUM
ejpam-6382	236	14	)	)	PUNCT
ejpam-6382	236	15	from	from	ADP
ejpam-6382	236	16	eq.(4.2	eq.(4.2	PROPN
ejpam-6382	236	17	)	)	PUNCT
ejpam-6382	236	18	,	,	PUNCT
ejpam-6382	236	19	we	we	PRON
ejpam-6382	236	20	also	also	ADV
ejpam-6382	236	21	have	have	VERB
ejpam-6382	236	22	k−1∑	k−1∑	PROPN
ejpam-6382	236	23	y=0	y=0	NOUN
ejpam-6382	236	24	{	{	PUNCT
ejpam-6382	236	25	[	[	X
ejpam-6382	236	26	c	c	X
ejpam-6382	236	27	(	(	PUNCT
ejpam-6382	236	28	y	y	PROPN
ejpam-6382	236	29	+	+	PROPN
ejpam-6382	236	30	1	1	NUM
ejpam-6382	236	31	;	;	PUNCT
ejpam-6382	236	32	ξ	ξ	X
ejpam-6382	236	33	)	)	PUNCT
ejpam-6382	237	1	+	+	NUM
ejpam-6382	237	2	c	c	X
ejpam-6382	237	3	(	(	PUNCT
ejpam-6382	237	4	y	y	NOUN
ejpam-6382	237	5	;	;	PUNCT
ejpam-6382	237	6	ξ	ξ	X
ejpam-6382	237	7	)	)	PUNCT
ejpam-6382	237	8	]	]	PUNCT
ejpam-6382	238	1	f	f	X
ejpam-6382	238	2	(	(	PUNCT
ejpam-6382	238	3	y	y	NOUN
ejpam-6382	238	4	)	)	PUNCT
ejpam-6382	238	5	}	}	PUNCT
ejpam-6382	239	1	=	=	SYM
ejpam-6382	239	2	f	f	X
ejpam-6382	239	3	(	(	PUNCT
ejpam-6382	239	4	k	k	PROPN
ejpam-6382	239	5	−	−	PROPN
ejpam-6382	240	1	1)c	1)c	PROPN
ejpam-6382	240	2	(	(	PUNCT
ejpam-6382	240	3	k	k	NOUN
ejpam-6382	240	4	;	;	PUNCT
ejpam-6382	240	5	ξ	ξ	X
ejpam-6382	240	6	)	)	PUNCT
ejpam-6382	240	7	=	=	SYM
ejpam-6382	240	8	(	(	PUNCT
ejpam-6382	240	9	f	f	X
ejpam-6382	240	10	(	(	PUNCT
ejpam-6382	240	11	k)−	k)−	PROPN
ejpam-6382	240	12	f	f	PROPN
ejpam-6382	240	13	(	(	PUNCT
ejpam-6382	240	14	k))c	k))c	PROPN
ejpam-6382	240	15	(	(	PUNCT
ejpam-6382	240	16	k	k	NOUN
ejpam-6382	240	17	;	;	PUNCT
ejpam-6382	240	18	ξ	ξ	X
ejpam-6382	240	19	)	)	PUNCT
ejpam-6382	240	20	.	.	PUNCT
ejpam-6382	241	1	(	(	PUNCT
ejpam-6382	241	2	4.3	4.3	NUM
ejpam-6382	241	3	)	)	PUNCT
ejpam-6382	241	4	now	now	ADV
ejpam-6382	241	5	,	,	PUNCT
ejpam-6382	241	6	subtracting	subtract	VERB
ejpam-6382	241	7	eq.(4.3	eq.(4.3	PROPN
ejpam-6382	241	8	)	)	PUNCT
ejpam-6382	241	9	from	from	ADP
ejpam-6382	241	10	eq.(4.2	eq.(4.2	NOUN
ejpam-6382	241	11	)	)	PUNCT
ejpam-6382	241	12	,	,	PUNCT
ejpam-6382	241	13	yields	yield	NOUN
ejpam-6382	241	14	{	{	PUNCT
ejpam-6382	241	15	c	c	NOUN
ejpam-6382	241	16	(	(	PUNCT
ejpam-6382	241	17	k	k	PROPN
ejpam-6382	241	18	+	+	PROPN
ejpam-6382	241	19	1	1	NUM
ejpam-6382	241	20	;	;	PUNCT
ejpam-6382	241	21	ξ	ξ	X
ejpam-6382	241	22	)	)	PUNCT
ejpam-6382	242	1	+	+	NUM
ejpam-6382	242	2	c	c	X
ejpam-6382	242	3	(	(	PUNCT
ejpam-6382	242	4	k	k	NOUN
ejpam-6382	242	5	;	;	PUNCT
ejpam-6382	242	6	ξ	ξ	X
ejpam-6382	242	7	)	)	PUNCT
ejpam-6382	242	8	}	}	PUNCT
ejpam-6382	242	9	f	f	NOUN
ejpam-6382	242	10	(	(	PUNCT
ejpam-6382	242	11	k	k	NOUN
ejpam-6382	242	12	)	)	PUNCT
ejpam-6382	242	13	=	=	SYM
ejpam-6382	243	1	f	f	X
ejpam-6382	243	2	(	(	PUNCT
ejpam-6382	243	3	k	k	NOUN
ejpam-6382	243	4	)	)	PUNCT
ejpam-6382	243	5	{	{	PUNCT
ejpam-6382	243	6	c	c	NOUN
ejpam-6382	243	7	(	(	PUNCT
ejpam-6382	243	8	k	k	PROPN
ejpam-6382	243	9	+	+	PROPN
ejpam-6382	243	10	1	1	NUM
ejpam-6382	243	11	;	;	PUNCT
ejpam-6382	243	12	ξ)−	ξ)−	PROPN
ejpam-6382	243	13	c	c	PROPN
ejpam-6382	243	14	(	(	PUNCT
ejpam-6382	243	15	k	k	NOUN
ejpam-6382	243	16	;	;	PUNCT
ejpam-6382	243	17	ξ)}+	ξ)}+	ADJ
ejpam-6382	243	18	f	f	NOUN
ejpam-6382	243	19	(	(	PUNCT
ejpam-6382	243	20	k)c	k)c	X
ejpam-6382	243	21	(	(	PUNCT
ejpam-6382	243	22	k	k	NOUN
ejpam-6382	243	23	;	;	PUNCT
ejpam-6382	243	24	ξ	ξ	X
ejpam-6382	243	25	)	)	PUNCT
ejpam-6382	243	26	.	.	PUNCT
ejpam-6382	244	1	from	from	ADP
ejpam-6382	244	2	the	the	DET
ejpam-6382	244	3	above	above	ADJ
ejpam-6382	244	4	equality	equality	NOUN
ejpam-6382	244	5	,	,	PUNCT
ejpam-6382	244	6	we	we	PRON
ejpam-6382	244	7	have	have	VERB
ejpam-6382	244	8	f	f	PROPN
ejpam-6382	244	9	(	(	PUNCT
ejpam-6382	244	10	k	k	NOUN
ejpam-6382	244	11	)	)	PUNCT
ejpam-6382	244	12	f	f	NOUN
ejpam-6382	244	13	(	(	PUNCT
ejpam-6382	244	14	k	k	NOUN
ejpam-6382	244	15	)	)	PUNCT
ejpam-6382	244	16	=	=	SYM
ejpam-6382	244	17	c	c	X
ejpam-6382	244	18	(	(	PUNCT
ejpam-6382	244	19	k	k	PROPN
ejpam-6382	245	1	+	+	PROPN
ejpam-6382	245	2	1	1	NUM
ejpam-6382	245	3	;	;	PUNCT
ejpam-6382	245	4	ξ)−	ξ)−	PROPN
ejpam-6382	245	5	c	c	PROPN
ejpam-6382	245	6	(	(	PUNCT
ejpam-6382	245	7	k	k	NOUN
ejpam-6382	245	8	;	;	PUNCT
ejpam-6382	245	9	ξ	ξ	X
ejpam-6382	245	10	)	)	PUNCT
ejpam-6382	245	11	c	c	NOUN
ejpam-6382	245	12	(	(	PUNCT
ejpam-6382	245	13	k	k	NOUN
ejpam-6382	245	14	+	+	PROPN
ejpam-6382	245	15	1	1	NUM
ejpam-6382	245	16	;	;	PUNCT
ejpam-6382	245	17	ξ	ξ	X
ejpam-6382	245	18	)	)	PUNCT
ejpam-6382	245	19	=	=	SYM
ejpam-6382	245	20	1−	1−	NUM
ejpam-6382	245	21	c	c	X
ejpam-6382	245	22	(	(	PUNCT
ejpam-6382	245	23	k	k	NOUN
ejpam-6382	245	24	;	;	PUNCT
ejpam-6382	245	25	ξ	ξ	X
ejpam-6382	245	26	)	)	PUNCT
ejpam-6382	245	27	c	c	NOUN
ejpam-6382	245	28	(	(	PUNCT
ejpam-6382	245	29	k	k	NOUN
ejpam-6382	245	30	+	+	PROPN
ejpam-6382	245	31	1	1	NUM
ejpam-6382	245	32	;	;	PUNCT
ejpam-6382	245	33	ξ	ξ	X
ejpam-6382	245	34	)	)	PUNCT
ejpam-6382	245	35	,	,	PUNCT
ejpam-6382	245	36	d.	d.	PROPN
ejpam-6382	245	37	das	das	PROPN
ejpam-6382	245	38	et	et	PROPN
ejpam-6382	245	39	al	al	PROPN
ejpam-6382	245	40	.	.	PUNCT
ejpam-6382	245	41	/	/	SYM
ejpam-6382	245	42	eur	eur	PROPN
ejpam-6382	245	43	.	.	PUNCT
ejpam-6382	246	1	j.	j.	PROPN
ejpam-6382	246	2	pure	pure	PROPN
ejpam-6382	246	3	appl	appl	PROPN
ejpam-6382	246	4	.	.	PROPN
ejpam-6382	246	5	math	math	PROPN
ejpam-6382	246	6	,	,	PUNCT
ejpam-6382	246	7	18	18	NUM
ejpam-6382	246	8	(	(	PUNCT
ejpam-6382	246	9	3	3	NUM
ejpam-6382	246	10	)	)	PUNCT
ejpam-6382	246	11	(	(	PUNCT
ejpam-6382	246	12	2025	2025	NUM
ejpam-6382	246	13	)	)	PUNCT
ejpam-6382	246	14	,	,	PUNCT
ejpam-6382	246	15	6382	6382	NUM
ejpam-6382	246	16	14	14	NUM
ejpam-6382	246	17	of	of	ADP
ejpam-6382	246	18	29	29	NUM
ejpam-6382	246	19	which	which	PRON
ejpam-6382	246	20	is	be	AUX
ejpam-6382	246	21	the	the	DET
ejpam-6382	246	22	reverse	reverse	ADJ
ejpam-6382	246	23	hazard	hazard	NOUN
ejpam-6382	246	24	function	function	NOUN
ejpam-6382	246	25	corresponding	correspond	VERB
ejpam-6382	246	26	to	to	ADP
ejpam-6382	246	27	the	the	DET
ejpam-6382	246	28	pmf	pmf	NOUN
ejpam-6382	246	29	in	in	ADP
ejpam-6382	246	30	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	246	31	)	)	PUNCT
ejpam-6382	246	32	,	,	PUNCT
ejpam-6382	246	33	so	so	CCONJ
ejpam-6382	246	34	y	y	PROPN
ejpam-6382	246	35	has	have	VERB
ejpam-6382	246	36	pmf	pmf	PROPN
ejpam-6382	246	37	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	246	38	)	)	PUNCT
ejpam-6382	246	39	.	.	PUNCT
ejpam-6382	247	1	the	the	DET
ejpam-6382	247	2	application	application	NOUN
ejpam-6382	247	3	of	of	ADP
ejpam-6382	247	4	characterizations	characterization	NOUN
ejpam-6382	247	5	based	base	VERB
ejpam-6382	247	6	on	on	ADP
ejpam-6382	247	7	conditional	conditional	ADJ
ejpam-6382	247	8	expectation	expectation	NOUN
ejpam-6382	247	9	for	for	ADP
ejpam-6382	247	10	the	the	DET
ejpam-6382	247	11	lbdfw	lbdfw	ADJ
ejpam-6382	247	12	model	model	NOUN
ejpam-6382	247	13	provides	provide	VERB
ejpam-6382	247	14	valuable	valuable	ADJ
ejpam-6382	247	15	insights	insight	NOUN
ejpam-6382	247	16	into	into	ADP
ejpam-6382	247	17	the	the	DET
ejpam-6382	247	18	behavior	behavior	NOUN
ejpam-6382	247	19	of	of	ADP
ejpam-6382	247	20	the	the	DET
ejpam-6382	247	21	distribution	distribution	NOUN
ejpam-6382	247	22	.	.	PUNCT
ejpam-6382	248	1	by	by	ADP
ejpam-6382	248	2	utilizing	utilize	VERB
ejpam-6382	248	3	the	the	DET
ejpam-6382	248	4	conditional	conditional	ADJ
ejpam-6382	248	5	expectation	expectation	NOUN
ejpam-6382	248	6	,	,	PUNCT
ejpam-6382	248	7	researchers	researcher	NOUN
ejpam-6382	248	8	can	can	AUX
ejpam-6382	248	9	derive	derive	VERB
ejpam-6382	248	10	important	important	ADJ
ejpam-6382	248	11	properties	property	NOUN
ejpam-6382	248	12	of	of	ADP
ejpam-6382	248	13	the	the	DET
ejpam-6382	248	14	model	model	NOUN
ejpam-6382	248	15	,	,	PUNCT
ejpam-6382	248	16	such	such	ADJ
ejpam-6382	248	17	as	as	ADP
ejpam-6382	248	18	the	the	DET
ejpam-6382	248	19	relationship	relationship	NOUN
ejpam-6382	248	20	between	between	ADP
ejpam-6382	248	21	the	the	DET
ejpam-6382	248	22	random	random	ADJ
ejpam-6382	248	23	variable	variable	NOUN
ejpam-6382	248	24	and	and	CCONJ
ejpam-6382	248	25	its	its	PRON
ejpam-6382	248	26	parameters	parameter	NOUN
ejpam-6382	248	27	under	under	ADP
ejpam-6382	248	28	specific	specific	ADJ
ejpam-6382	248	29	conditions	condition	NOUN
ejpam-6382	248	30	.	.	PUNCT
ejpam-6382	249	1	this	this	DET
ejpam-6382	249	2	approach	approach	NOUN
ejpam-6382	249	3	helps	help	VERB
ejpam-6382	249	4	to	to	PART
ejpam-6382	249	5	establish	establish	VERB
ejpam-6382	249	6	the	the	DET
ejpam-6382	249	7	underlying	underlie	VERB
ejpam-6382	249	8	structure	structure	NOUN
ejpam-6382	249	9	of	of	ADP
ejpam-6382	249	10	the	the	DET
ejpam-6382	249	11	distribution	distribution	NOUN
ejpam-6382	249	12	,	,	PUNCT
ejpam-6382	249	13	offering	offer	VERB
ejpam-6382	249	14	a	a	DET
ejpam-6382	249	15	clear	clear	ADJ
ejpam-6382	249	16	understanding	understanding	NOUN
ejpam-6382	249	17	of	of	ADP
ejpam-6382	249	18	how	how	SCONJ
ejpam-6382	249	19	the	the	DET
ejpam-6382	249	20	distribution	distribution	NOUN
ejpam-6382	249	21	behaves	behave	VERB
ejpam-6382	249	22	as	as	SCONJ
ejpam-6382	249	23	the	the	DET
ejpam-6382	249	24	model	model	NOUN
ejpam-6382	249	25	’s	’s	PART
ejpam-6382	249	26	parameters	parameter	NOUN
ejpam-6382	249	27	vary	vary	VERB
ejpam-6382	249	28	.	.	PUNCT
ejpam-6382	250	1	in	in	ADP
ejpam-6382	250	2	practice	practice	NOUN
ejpam-6382	250	3	,	,	PUNCT
ejpam-6382	250	4	these	these	DET
ejpam-6382	250	5	characterizations	characterization	NOUN
ejpam-6382	250	6	can	can	AUX
ejpam-6382	250	7	be	be	AUX
ejpam-6382	250	8	used	use	VERB
ejpam-6382	250	9	to	to	PART
ejpam-6382	250	10	evaluate	evaluate	VERB
ejpam-6382	250	11	the	the	DET
ejpam-6382	250	12	fit	fit	NOUN
ejpam-6382	250	13	of	of	ADP
ejpam-6382	250	14	the	the	DET
ejpam-6382	250	15	lbdfw	lbdfw	ADJ
ejpam-6382	250	16	model	model	NOUN
ejpam-6382	250	17	to	to	ADP
ejpam-6382	250	18	real	real	ADJ
ejpam-6382	250	19	-	-	PUNCT
ejpam-6382	250	20	world	world	NOUN
ejpam-6382	250	21	data	datum	NOUN
ejpam-6382	250	22	,	,	PUNCT
ejpam-6382	250	23	making	make	VERB
ejpam-6382	250	24	it	it	PRON
ejpam-6382	250	25	a	a	DET
ejpam-6382	250	26	useful	useful	ADJ
ejpam-6382	250	27	tool	tool	NOUN
ejpam-6382	250	28	in	in	ADP
ejpam-6382	250	29	various	various	ADJ
ejpam-6382	250	30	applied	apply	VERB
ejpam-6382	250	31	fields	field	NOUN
ejpam-6382	250	32	where	where	SCONJ
ejpam-6382	250	33	understanding	understand	VERB
ejpam-6382	250	34	the	the	DET
ejpam-6382	250	35	conditional	conditional	ADJ
ejpam-6382	250	36	behavior	behavior	NOUN
ejpam-6382	250	37	of	of	ADP
ejpam-6382	250	38	the	the	DET
ejpam-6382	250	39	data	data	NOUN
ejpam-6382	250	40	is	be	AUX
ejpam-6382	250	41	crucial	crucial	ADJ
ejpam-6382	250	42	.	.	PUNCT
ejpam-6382	251	1	additionally	additionally	ADV
ejpam-6382	251	2	,	,	PUNCT
ejpam-6382	251	3	conditional	conditional	ADJ
ejpam-6382	251	4	expectation	expectation	NOUN
ejpam-6382	251	5	plays	play	VERB
ejpam-6382	251	6	a	a	DET
ejpam-6382	251	7	key	key	ADJ
ejpam-6382	251	8	role	role	NOUN
ejpam-6382	251	9	in	in	ADP
ejpam-6382	251	10	determining	determine	VERB
ejpam-6382	251	11	the	the	DET
ejpam-6382	251	12	expected	expected	ADJ
ejpam-6382	251	13	outcomes	outcome	NOUN
ejpam-6382	251	14	in	in	ADP
ejpam-6382	251	15	situations	situation	NOUN
ejpam-6382	251	16	where	where	SCONJ
ejpam-6382	251	17	information	information	NOUN
ejpam-6382	251	18	about	about	ADP
ejpam-6382	251	19	prior	prior	ADJ
ejpam-6382	251	20	events	event	NOUN
ejpam-6382	251	21	or	or	CCONJ
ejpam-6382	251	22	conditions	condition	NOUN
ejpam-6382	251	23	is	be	AUX
ejpam-6382	251	24	available	available	ADJ
ejpam-6382	251	25	,	,	PUNCT
ejpam-6382	251	26	further	far	ADV
ejpam-6382	251	27	enhancing	enhance	VERB
ejpam-6382	251	28	the	the	DET
ejpam-6382	251	29	model	model	NOUN
ejpam-6382	251	30	’s	’s	PART
ejpam-6382	251	31	applicability	applicability	NOUN
ejpam-6382	251	32	.	.	PUNCT
ejpam-6382	252	1	4.2	4.2	NUM
ejpam-6382	252	2	.	.	PUNCT
ejpam-6382	252	3	characterizations	characterization	NOUN
ejpam-6382	252	4	of	of	ADP
ejpam-6382	252	5	distributions	distribution	NOUN
ejpam-6382	252	6	based	base	VERB
ejpam-6382	252	7	on	on	ADP
ejpam-6382	252	8	reverse	reverse	ADJ
ejpam-6382	252	9	hazard	hazard	NOUN
ejpam-6382	252	10	function	function	NOUN
ejpam-6382	252	11	this	this	DET
ejpam-6382	252	12	subsection	subsection	NOUN
ejpam-6382	252	13	deals	deal	VERB
ejpam-6382	252	14	with	with	ADP
ejpam-6382	252	15	the	the	DET
ejpam-6382	252	16	characterization	characterization	NOUN
ejpam-6382	252	17	of	of	ADP
ejpam-6382	252	18	lbdfw	lbdfw	ADJ
ejpam-6382	252	19	model	model	NOUN
ejpam-6382	252	20	in	in	ADP
ejpam-6382	252	21	terms	term	NOUN
ejpam-6382	252	22	of	of	ADP
ejpam-6382	252	23	the	the	DET
ejpam-6382	252	24	reverse	reverse	ADJ
ejpam-6382	252	25	hazard	hazard	NOUN
ejpam-6382	252	26	function	function	NOUN
ejpam-6382	252	27	.	.	PUNCT
ejpam-6382	253	1	theorem	theorem	NOUN
ejpam-6382	253	2	2	2	NUM
ejpam-6382	253	3	.	.	PUNCT
ejpam-6382	254	1	let	let	VERB
ejpam-6382	254	2	y	y	PRON
ejpam-6382	254	3	:	:	PUNCT
ejpam-6382	254	4	ω	ω	PROPN
ejpam-6382	254	5	→	→	SYM
ejpam-6382	254	6	n∗	n∗	PROPN
ejpam-6382	254	7	be	be	VERB
ejpam-6382	254	8	a	a	DET
ejpam-6382	254	9	random	random	ADJ
ejpam-6382	254	10	variable	variable	NOUN
ejpam-6382	254	11	.	.	PUNCT
ejpam-6382	255	1	the	the	DET
ejpam-6382	255	2	pmf	pmf	PROPN
ejpam-6382	255	3	of	of	ADP
ejpam-6382	255	4	y	y	PROPN
ejpam-6382	255	5	is	be	AUX
ejpam-6382	255	6	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	255	7	)	)	PUNCT
ejpam-6382	255	8	,	,	PUNCT
ejpam-6382	255	9	if	if	SCONJ
ejpam-6382	255	10	and	and	CCONJ
ejpam-6382	255	11	only	only	ADV
ejpam-6382	255	12	if	if	SCONJ
ejpam-6382	255	13	its	its	PRON
ejpam-6382	255	14	reverse	reverse	ADJ
ejpam-6382	255	15	hazard	hazard	NOUN
ejpam-6382	255	16	function	function	NOUN
ejpam-6382	255	17	,	,	PUNCT
ejpam-6382	255	18	rf	rf	PRON
ejpam-6382	255	19	,	,	PUNCT
ejpam-6382	255	20	satisfies	satisfy	VERB
ejpam-6382	255	21	the	the	DET
ejpam-6382	255	22	difference	difference	NOUN
ejpam-6382	255	23	equation	equation	NOUN
ejpam-6382	255	24	rf	rf	ADJ
ejpam-6382	255	25	(	(	PUNCT
ejpam-6382	255	26	k	k	PROPN
ejpam-6382	255	27	+	+	PROPN
ejpam-6382	255	28	1)−	1)−	NUM
ejpam-6382	255	29	rf	rf	PART
ejpam-6382	255	30	(	(	PUNCT
ejpam-6382	255	31	k	k	NOUN
ejpam-6382	255	32	)	)	PUNCT
ejpam-6382	255	33	=	=	SYM
ejpam-6382	255	34	c	c	X
ejpam-6382	255	35	(	(	PUNCT
ejpam-6382	255	36	k	k	NOUN
ejpam-6382	255	37	;	;	PUNCT
ejpam-6382	255	38	ξ	ξ	X
ejpam-6382	255	39	)	)	PUNCT
ejpam-6382	255	40	c	c	NOUN
ejpam-6382	255	41	(	(	PUNCT
ejpam-6382	255	42	k	k	NOUN
ejpam-6382	256	1	+	+	PROPN
ejpam-6382	256	2	1	1	NUM
ejpam-6382	256	3	;	;	PUNCT
ejpam-6382	256	4	ξ	ξ	X
ejpam-6382	256	5	)	)	PUNCT
ejpam-6382	256	6	−	−	PROPN
ejpam-6382	256	7	c	c	NOUN
ejpam-6382	256	8	(	(	PUNCT
ejpam-6382	256	9	k	k	PROPN
ejpam-6382	256	10	+	+	PROPN
ejpam-6382	256	11	1	1	NUM
ejpam-6382	256	12	;	;	PUNCT
ejpam-6382	256	13	ξ	ξ	X
ejpam-6382	256	14	)	)	PUNCT
ejpam-6382	256	15	c	c	NOUN
ejpam-6382	256	16	(	(	PUNCT
ejpam-6382	256	17	k	k	NOUN
ejpam-6382	256	18	+	+	PROPN
ejpam-6382	256	19	2	2	NUM
ejpam-6382	256	20	;	;	PUNCT
ejpam-6382	256	21	ξ	ξ	X
ejpam-6382	256	22	)	)	PUNCT
ejpam-6382	256	23	;	;	PUNCT
ejpam-6382	256	24	k	k	PROPN
ejpam-6382	256	25	∈	∈	PROPN
ejpam-6382	256	26	n	n	CCONJ
ejpam-6382	256	27	,	,	PUNCT
ejpam-6382	256	28	(	(	PUNCT
ejpam-6382	256	29	4.4	4.4	NUM
ejpam-6382	256	30	)	)	PUNCT
ejpam-6382	256	31	with	with	ADP
ejpam-6382	256	32	the	the	DET
ejpam-6382	256	33	initial	initial	ADJ
ejpam-6382	256	34	condition	condition	NOUN
ejpam-6382	256	35	rf	rf	ADJ
ejpam-6382	256	36	(	(	PUNCT
ejpam-6382	256	37	0	0	NUM
ejpam-6382	256	38	)	)	PUNCT
ejpam-6382	256	39	=	=	SYM
ejpam-6382	257	1	1	1	X
ejpam-6382	257	2	.	.	X
ejpam-6382	258	1	proof	proof	NOUN
ejpam-6382	258	2	:	:	PUNCT
ejpam-6382	258	3	if	if	SCONJ
ejpam-6382	258	4	y	y	PROPN
ejpam-6382	258	5	has	have	VERB
ejpam-6382	258	6	pmf	pmf	PROPN
ejpam-6382	258	7	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	258	8	)	)	PUNCT
ejpam-6382	258	9	,	,	PUNCT
ejpam-6382	258	10	then	then	ADV
ejpam-6382	258	11	clearly	clearly	ADV
ejpam-6382	258	12	eq.(4.4	eq.(4.4	NUM
ejpam-6382	258	13	)	)	PUNCT
ejpam-6382	258	14	holds	hold	VERB
ejpam-6382	258	15	.	.	PUNCT
ejpam-6382	259	1	now	now	ADV
ejpam-6382	259	2	,	,	PUNCT
ejpam-6382	259	3	if	if	SCONJ
ejpam-6382	259	4	eq.(4.4	eq.(4.4	NUM
ejpam-6382	259	5	)	)	PUNCT
ejpam-6382	259	6	holds	hold	VERB
ejpam-6382	259	7	,	,	PUNCT
ejpam-6382	259	8	then	then	ADV
ejpam-6382	259	9	for	for	ADP
ejpam-6382	259	10	every	every	DET
ejpam-6382	259	11	y	y	PROPN
ejpam-6382	259	12	∈	∈	PROPN
ejpam-6382	259	13	n	n	X
ejpam-6382	259	14	,	,	PUNCT
ejpam-6382	259	15	we	we	PRON
ejpam-6382	259	16	have	have	VERB
ejpam-6382	259	17	y−1∑	y−1∑	NUM
ejpam-6382	259	18	k=0	k=0	PROPN
ejpam-6382	259	19	{	{	PUNCT
ejpam-6382	259	20	rf	rf	ADJ
ejpam-6382	259	21	(	(	PUNCT
ejpam-6382	259	22	k	k	PROPN
ejpam-6382	259	23	+	+	PROPN
ejpam-6382	259	24	1)−	1)−	NUM
ejpam-6382	259	25	rf	rf	PART
ejpam-6382	259	26	(	(	PUNCT
ejpam-6382	259	27	k	k	NOUN
ejpam-6382	259	28	)	)	PUNCT
ejpam-6382	259	29	}	}	PUNCT
ejpam-6382	260	1	=	=	SYM
ejpam-6382	260	2	y−1∑	y−1∑	NUM
ejpam-6382	260	3	k=00	k=00	PROPN
ejpam-6382	260	4	{	{	PUNCT
ejpam-6382	260	5	c	c	X
ejpam-6382	260	6	(	(	PUNCT
ejpam-6382	260	7	k	k	NOUN
ejpam-6382	260	8	;	;	PUNCT
ejpam-6382	260	9	ξ	ξ	X
ejpam-6382	260	10	)	)	PUNCT
ejpam-6382	260	11	c	c	NOUN
ejpam-6382	260	12	(	(	PUNCT
ejpam-6382	260	13	k	k	NOUN
ejpam-6382	260	14	+	+	PROPN
ejpam-6382	260	15	1	1	NUM
ejpam-6382	260	16	;	;	PUNCT
ejpam-6382	260	17	ξ	ξ	X
ejpam-6382	260	18	)	)	PUNCT
ejpam-6382	261	1	−	−	PROPN
ejpam-6382	261	2	c	c	NOUN
ejpam-6382	261	3	(	(	PUNCT
ejpam-6382	261	4	k	k	PROPN
ejpam-6382	261	5	+	+	PROPN
ejpam-6382	261	6	1	1	NUM
ejpam-6382	261	7	;	;	PUNCT
ejpam-6382	261	8	ξ	ξ	X
ejpam-6382	261	9	)	)	PUNCT
ejpam-6382	261	10	c	c	NOUN
ejpam-6382	261	11	(	(	PUNCT
ejpam-6382	261	12	k	k	NOUN
ejpam-6382	261	13	+	+	PROPN
ejpam-6382	261	14	2	2	NUM
ejpam-6382	261	15	;	;	PUNCT
ejpam-6382	261	16	ξ	ξ	X
ejpam-6382	261	17	)	)	PUNCT
ejpam-6382	261	18	}	}	PUNCT
ejpam-6382	261	19	=	=	PUNCT
ejpam-6382	261	20	−	−	PROPN
ejpam-6382	261	21	c	c	X
ejpam-6382	261	22	(	(	PUNCT
ejpam-6382	261	23	y	y	NOUN
ejpam-6382	261	24	;	;	PUNCT
ejpam-6382	261	25	ξ	ξ	X
ejpam-6382	261	26	)	)	PUNCT
ejpam-6382	261	27	c	c	NOUN
ejpam-6382	261	28	(	(	PUNCT
ejpam-6382	261	29	y	y	PROPN
ejpam-6382	261	30	+	+	PROPN
ejpam-6382	261	31	1	1	NUM
ejpam-6382	261	32	;	;	PUNCT
ejpam-6382	261	33	ξ	ξ	X
ejpam-6382	261	34	)	)	PUNCT
ejpam-6382	261	35	,	,	PUNCT
ejpam-6382	261	36	or	or	CCONJ
ejpam-6382	261	37	rf	rf	ADJ
ejpam-6382	261	38	(	(	PUNCT
ejpam-6382	261	39	y)−	y)−	PROPN
ejpam-6382	261	40	rf	rf	ADJ
ejpam-6382	261	41	(	(	PUNCT
ejpam-6382	261	42	0	0	NUM
ejpam-6382	261	43	)	)	PUNCT
ejpam-6382	261	44	=	=	SYM
ejpam-6382	262	1	−	−	PROPN
ejpam-6382	262	2	c	c	X
ejpam-6382	262	3	(	(	PUNCT
ejpam-6382	262	4	y	y	NOUN
ejpam-6382	262	5	;	;	PUNCT
ejpam-6382	262	6	ξ	ξ	X
ejpam-6382	262	7	)	)	PUNCT
ejpam-6382	262	8	c	c	NOUN
ejpam-6382	262	9	(	(	PUNCT
ejpam-6382	262	10	y	y	PROPN
ejpam-6382	262	11	+	+	PROPN
ejpam-6382	262	12	1	1	NUM
ejpam-6382	262	13	;	;	PUNCT
ejpam-6382	262	14	ξ	ξ	X
ejpam-6382	262	15	)	)	PUNCT
ejpam-6382	262	16	,	,	PUNCT
ejpam-6382	262	17	or	or	CCONJ
ejpam-6382	262	18	,	,	PUNCT
ejpam-6382	262	19	in	in	ADP
ejpam-6382	262	20	view	view	NOUN
ejpam-6382	262	21	of	of	ADP
ejpam-6382	262	22	the	the	DET
ejpam-6382	262	23	initial	initial	ADJ
ejpam-6382	262	24	condition	condition	NOUN
ejpam-6382	262	25	rf	rf	ADJ
ejpam-6382	262	26	(	(	PUNCT
ejpam-6382	262	27	y	y	NOUN
ejpam-6382	262	28	)	)	PUNCT
ejpam-6382	262	29	=	=	SYM
ejpam-6382	263	1	1−	1−	NUM
ejpam-6382	263	2	c	c	X
ejpam-6382	263	3	(	(	PUNCT
ejpam-6382	263	4	y	y	NOUN
ejpam-6382	263	5	;	;	PUNCT
ejpam-6382	263	6	ξ	ξ	X
ejpam-6382	263	7	)	)	PUNCT
ejpam-6382	263	8	c	c	NOUN
ejpam-6382	263	9	(	(	PUNCT
ejpam-6382	263	10	y	y	PROPN
ejpam-6382	263	11	+	+	PROPN
ejpam-6382	263	12	1	1	NUM
ejpam-6382	263	13	;	;	PUNCT
ejpam-6382	263	14	ξ	ξ	X
ejpam-6382	263	15	)	)	PUNCT
ejpam-6382	263	16	;	;	PUNCT
ejpam-6382	263	17	y	y	PROPN
ejpam-6382	263	18	∈	∈	PROPN
ejpam-6382	263	19	n∗	n∗	PROPN
ejpam-6382	263	20	,	,	PUNCT
ejpam-6382	263	21	which	which	PRON
ejpam-6382	263	22	is	be	AUX
ejpam-6382	263	23	the	the	DET
ejpam-6382	263	24	reverse	reverse	ADJ
ejpam-6382	263	25	hazard	hazard	NOUN
ejpam-6382	263	26	function	function	NOUN
ejpam-6382	263	27	corresponding	correspond	VERB
ejpam-6382	263	28	to	to	ADP
ejpam-6382	263	29	the	the	DET
ejpam-6382	263	30	pmf	pmf	PROPN
ejpam-6382	263	31	eq.(2.6	eq.(2.6	PROPN
ejpam-6382	263	32	)	)	PUNCT
ejpam-6382	263	33	.	.	PUNCT
ejpam-6382	264	1	the	the	DET
ejpam-6382	264	2	characterization	characterization	NOUN
ejpam-6382	264	3	of	of	ADP
ejpam-6382	264	4	the	the	DET
ejpam-6382	264	5	lbdfw	lbdfw	ADJ
ejpam-6382	264	6	model	model	NOUN
ejpam-6382	264	7	through	through	ADP
ejpam-6382	264	8	the	the	DET
ejpam-6382	264	9	reversed	reverse	VERB
ejpam-6382	264	10	hazard	hazard	NOUN
ejpam-6382	264	11	rate	rate	NOUN
ejpam-6382	264	12	function	function	NOUN
ejpam-6382	264	13	offers	offer	VERB
ejpam-6382	264	14	an	an	DET
ejpam-6382	264	15	important	important	ADJ
ejpam-6382	264	16	d.	d.	PROPN
ejpam-6382	264	17	das	das	PROPN
ejpam-6382	264	18	et	et	PROPN
ejpam-6382	264	19	al	al	PROPN
ejpam-6382	264	20	.	.	PUNCT
ejpam-6382	264	21	/	/	SYM
ejpam-6382	264	22	eur	eur	PROPN
ejpam-6382	264	23	.	.	PUNCT
ejpam-6382	265	1	j.	j.	PROPN
ejpam-6382	265	2	pure	pure	PROPN
ejpam-6382	265	3	appl	appl	PROPN
ejpam-6382	265	4	.	.	PROPN
ejpam-6382	265	5	math	math	PROPN
ejpam-6382	265	6	,	,	PUNCT
ejpam-6382	265	7	18	18	NUM
ejpam-6382	265	8	(	(	PUNCT
ejpam-6382	265	9	3	3	NUM
ejpam-6382	265	10	)	)	PUNCT
ejpam-6382	265	11	(	(	PUNCT
ejpam-6382	265	12	2025	2025	NUM
ejpam-6382	265	13	)	)	PUNCT
ejpam-6382	265	14	,	,	PUNCT
ejpam-6382	265	15	6382	6382	NUM
ejpam-6382	265	16	15	15	NUM
ejpam-6382	265	17	of	of	ADP
ejpam-6382	265	18	29	29	NUM
ejpam-6382	265	19	analytical	analytical	ADJ
ejpam-6382	265	20	tool	tool	NOUN
ejpam-6382	265	21	for	for	ADP
ejpam-6382	265	22	understanding	understand	VERB
ejpam-6382	265	23	the	the	DET
ejpam-6382	265	24	distribution	distribution	NOUN
ejpam-6382	265	25	’s	’s	PART
ejpam-6382	265	26	behavior	behavior	NOUN
ejpam-6382	265	27	from	from	ADP
ejpam-6382	265	28	a	a	DET
ejpam-6382	265	29	failure	failure	NOUN
ejpam-6382	265	30	-	-	PUNCT
ejpam-6382	265	31	time	time	NOUN
ejpam-6382	265	32	or	or	CCONJ
ejpam-6382	265	33	reliability	reliability	NOUN
ejpam-6382	265	34	perspective	perspective	NOUN
ejpam-6382	265	35	.	.	PUNCT
ejpam-6382	266	1	the	the	DET
ejpam-6382	266	2	reversed	reverse	VERB
ejpam-6382	266	3	hazard	hazard	NOUN
ejpam-6382	266	4	rate	rate	NOUN
ejpam-6382	266	5	function	function	NOUN
ejpam-6382	266	6	,	,	PUNCT
ejpam-6382	266	7	which	which	PRON
ejpam-6382	266	8	is	be	AUX
ejpam-6382	266	9	defined	define	VERB
ejpam-6382	266	10	as	as	ADP
ejpam-6382	266	11	the	the	DET
ejpam-6382	266	12	ratio	ratio	NOUN
ejpam-6382	266	13	of	of	ADP
ejpam-6382	266	14	the	the	DET
ejpam-6382	266	15	pmf	pmf	NOUN
ejpam-6382	266	16	to	to	ADP
ejpam-6382	266	17	the	the	DET
ejpam-6382	266	18	cdf	cdf	NOUN
ejpam-6382	266	19	,	,	PUNCT
ejpam-6382	266	20	is	be	AUX
ejpam-6382	266	21	particularly	particularly	ADV
ejpam-6382	266	22	useful	useful	ADJ
ejpam-6382	266	23	in	in	ADP
ejpam-6382	266	24	scenarios	scenario	NOUN
ejpam-6382	266	25	where	where	SCONJ
ejpam-6382	266	26	interest	interest	NOUN
ejpam-6382	266	27	lies	lie	VERB
ejpam-6382	266	28	in	in	ADP
ejpam-6382	266	29	past	past	ADJ
ejpam-6382	266	30	lifetimes	lifetime	NOUN
ejpam-6382	266	31	or	or	CCONJ
ejpam-6382	266	32	the	the	DET
ejpam-6382	266	33	time	time	NOUN
ejpam-6382	266	34	until	until	SCONJ
ejpam-6382	266	35	an	an	DET
ejpam-6382	266	36	event	event	NOUN
ejpam-6382	266	37	has	have	AUX
ejpam-6382	266	38	already	already	ADV
ejpam-6382	266	39	occurred	occur	VERB
ejpam-6382	266	40	.	.	PUNCT
ejpam-6382	267	1	this	this	DET
ejpam-6382	267	2	approach	approach	NOUN
ejpam-6382	267	3	is	be	AUX
ejpam-6382	267	4	applicable	applicable	ADJ
ejpam-6382	267	5	in	in	ADP
ejpam-6382	267	6	fields	field	NOUN
ejpam-6382	267	7	such	such	ADJ
ejpam-6382	267	8	as	as	ADP
ejpam-6382	267	9	reliability	reliability	NOUN
ejpam-6382	267	10	engineering	engineering	NOUN
ejpam-6382	267	11	,	,	PUNCT
ejpam-6382	267	12	biomedical	biomedical	ADJ
ejpam-6382	267	13	studies	study	NOUN
ejpam-6382	267	14	,	,	PUNCT
ejpam-6382	267	15	and	and	CCONJ
ejpam-6382	267	16	survival	survival	NOUN
ejpam-6382	267	17	analysis	analysis	NOUN
ejpam-6382	267	18	,	,	PUNCT
ejpam-6382	267	19	where	where	SCONJ
ejpam-6382	267	20	backward	backward	ADV
ejpam-6382	267	21	-	-	PUNCT
ejpam-6382	267	22	looking	look	VERB
ejpam-6382	267	23	analyses	analysis	NOUN
ejpam-6382	267	24	are	be	AUX
ejpam-6382	267	25	critical	critical	ADJ
ejpam-6382	267	26	.	.	PUNCT
ejpam-6382	268	1	in	in	ADP
ejpam-6382	268	2	the	the	DET
ejpam-6382	268	3	context	context	NOUN
ejpam-6382	268	4	of	of	ADP
ejpam-6382	268	5	the	the	DET
ejpam-6382	268	6	lbdfw	lbdfw	ADJ
ejpam-6382	268	7	model	model	NOUN
ejpam-6382	268	8	,	,	PUNCT
ejpam-6382	268	9	utilizing	utilize	VERB
ejpam-6382	268	10	the	the	DET
ejpam-6382	268	11	reversed	reversed	ADJ
ejpam-6382	268	12	hazard	hazard	NOUN
ejpam-6382	268	13	rate	rate	NOUN
ejpam-6382	268	14	function	function	NOUN
ejpam-6382	268	15	allows	allow	VERB
ejpam-6382	268	16	researchers	researcher	NOUN
ejpam-6382	268	17	to	to	PART
ejpam-6382	268	18	formulate	formulate	VERB
ejpam-6382	268	19	conditions	condition	NOUN
ejpam-6382	268	20	under	under	ADP
ejpam-6382	268	21	which	which	PRON
ejpam-6382	268	22	a	a	DET
ejpam-6382	268	23	random	random	ADJ
ejpam-6382	268	24	variable	variable	NOUN
ejpam-6382	268	25	belongs	belong	VERB
ejpam-6382	268	26	to	to	ADP
ejpam-6382	268	27	the	the	DET
ejpam-6382	268	28	lbdfw	lbdfw	PROPN
ejpam-6382	268	29	family	family	NOUN
ejpam-6382	268	30	.	.	PUNCT
ejpam-6382	269	1	it	it	PRON
ejpam-6382	269	2	also	also	ADV
ejpam-6382	269	3	provides	provide	VERB
ejpam-6382	269	4	a	a	DET
ejpam-6382	269	5	mechanism	mechanism	NOUN
ejpam-6382	269	6	for	for	ADP
ejpam-6382	269	7	deriving	derive	VERB
ejpam-6382	269	8	uniqueness	uniqueness	ADJ
ejpam-6382	269	9	theorems	theorem	NOUN
ejpam-6382	269	10	and	and	CCONJ
ejpam-6382	269	11	establishing	establish	VERB
ejpam-6382	269	12	relationships	relationship	NOUN
ejpam-6382	269	13	between	between	ADP
ejpam-6382	269	14	the	the	DET
ejpam-6382	269	15	model	model	NOUN
ejpam-6382	269	16	’s	’s	PART
ejpam-6382	269	17	parameters	parameter	NOUN
ejpam-6382	269	18	and	and	CCONJ
ejpam-6382	269	19	its	its	PRON
ejpam-6382	269	20	reliability	reliability	NOUN
ejpam-6382	269	21	structure	structure	NOUN
ejpam-6382	269	22	.	.	PUNCT
ejpam-6382	270	1	such	such	ADJ
ejpam-6382	270	2	characterizations	characterization	NOUN
ejpam-6382	270	3	are	be	AUX
ejpam-6382	270	4	valuable	valuable	ADJ
ejpam-6382	270	5	in	in	ADP
ejpam-6382	270	6	practice	practice	NOUN
ejpam-6382	270	7	for	for	ADP
ejpam-6382	270	8	verifying	verify	VERB
ejpam-6382	270	9	the	the	DET
ejpam-6382	270	10	adequacy	adequacy	NOUN
ejpam-6382	270	11	of	of	ADP
ejpam-6382	270	12	the	the	DET
ejpam-6382	270	13	lbdfw	lbdfw	ADJ
ejpam-6382	270	14	model	model	NOUN
ejpam-6382	270	15	in	in	ADP
ejpam-6382	270	16	modeling	model	VERB
ejpam-6382	270	17	systems	system	NOUN
ejpam-6382	270	18	or	or	CCONJ
ejpam-6382	270	19	processes	process	NOUN
ejpam-6382	270	20	that	that	PRON
ejpam-6382	270	21	exhibit	exhibit	VERB
ejpam-6382	270	22	specific	specific	ADJ
ejpam-6382	270	23	patterns	pattern	NOUN
ejpam-6382	270	24	of	of	ADP
ejpam-6382	270	25	early	early	ADJ
ejpam-6382	270	26	failures	failure	NOUN
ejpam-6382	270	27	or	or	CCONJ
ejpam-6382	270	28	sudden	sudden	ADJ
ejpam-6382	270	29	breakdowns	breakdown	NOUN
ejpam-6382	270	30	.	.	PUNCT
ejpam-6382	271	1	hence	hence	ADV
ejpam-6382	271	2	,	,	PUNCT
ejpam-6382	271	3	the	the	DET
ejpam-6382	271	4	reversed	reverse	VERB
ejpam-6382	271	5	hazard	hazard	NOUN
ejpam-6382	271	6	rate	rate	NOUN
ejpam-6382	271	7	function	function	NOUN
ejpam-6382	271	8	serves	serve	VERB
ejpam-6382	271	9	not	not	PART
ejpam-6382	271	10	only	only	ADV
ejpam-6382	271	11	as	as	ADP
ejpam-6382	271	12	a	a	DET
ejpam-6382	271	13	theoretical	theoretical	ADJ
ejpam-6382	271	14	foundation	foundation	NOUN
ejpam-6382	271	15	for	for	ADP
ejpam-6382	271	16	distributional	distributional	ADJ
ejpam-6382	271	17	characterization	characterization	NOUN
ejpam-6382	271	18	but	but	CCONJ
ejpam-6382	271	19	also	also	ADV
ejpam-6382	271	20	as	as	ADP
ejpam-6382	271	21	a	a	DET
ejpam-6382	271	22	practical	practical	ADJ
ejpam-6382	271	23	tool	tool	NOUN
ejpam-6382	271	24	for	for	ADP
ejpam-6382	271	25	data	datum	NOUN
ejpam-6382	271	26	validation	validation	NOUN
ejpam-6382	271	27	and	and	CCONJ
ejpam-6382	271	28	model	model	NOUN
ejpam-6382	271	29	.	.	PUNCT
ejpam-6382	272	1	5	5	NUM
ejpam-6382	272	2	.	.	X
ejpam-6382	272	3	a	a	DET
ejpam-6382	272	4	comprehensive	comprehensive	ADJ
ejpam-6382	272	5	approach	approach	NOUN
ejpam-6382	272	6	to	to	ADP
ejpam-6382	272	7	maximum	maximum	ADJ
ejpam-6382	272	8	likelihood	likelihood	NOUN
ejpam-6382	272	9	estimation	estimation	NOUN
ejpam-6382	272	10	for	for	ADP
ejpam-6382	272	11	count	count	PROPN
ejpam-6382	272	12	data	datum	NOUN
ejpam-6382	272	13	structures	structure	NOUN
ejpam-6382	272	14	this	this	DET
ejpam-6382	272	15	section	section	NOUN
ejpam-6382	272	16	presents	present	VERB
ejpam-6382	272	17	the	the	DET
ejpam-6382	272	18	estimation	estimation	NOUN
ejpam-6382	272	19	of	of	ADP
ejpam-6382	272	20	the	the	DET
ejpam-6382	272	21	parameters	parameter	NOUN
ejpam-6382	272	22	of	of	ADP
ejpam-6382	272	23	the	the	DET
ejpam-6382	272	24	lbdfw	lbdfw	ADJ
ejpam-6382	272	25	model	model	NOUN
ejpam-6382	272	26	using	use	VERB
ejpam-6382	272	27	the	the	DET
ejpam-6382	272	28	maximum	maximum	ADJ
ejpam-6382	272	29	likelihood	likelihood	NOUN
ejpam-6382	272	30	estimation	estimation	NOUN
ejpam-6382	272	31	method	method	NOUN
ejpam-6382	272	32	.	.	PUNCT
ejpam-6382	273	1	let	let	VERB
ejpam-6382	273	2	y1	y1	NOUN
ejpam-6382	273	3	,	,	PUNCT
ejpam-6382	273	4	y2	y2	PROPN
ejpam-6382	273	5	,	,	PUNCT
ejpam-6382	273	6	y3	y3	PROPN
ejpam-6382	273	7	,	,	PUNCT
ejpam-6382	273	8	.	.	PUNCT
ejpam-6382	273	9	.	.	PUNCT
ejpam-6382	274	1	.	.	PUNCT
ejpam-6382	275	1	,	,	PUNCT
ejpam-6382	275	2	yn	yn	PRON
ejpam-6382	275	3	be	be	VERB
ejpam-6382	275	4	a	a	DET
ejpam-6382	275	5	random	random	ADJ
ejpam-6382	275	6	sample	sample	NOUN
ejpam-6382	275	7	drawn	draw	VERB
ejpam-6382	275	8	from	from	ADP
ejpam-6382	275	9	the	the	DET
ejpam-6382	275	10	lbdfw	lbdfw	ADJ
ejpam-6382	275	11	distribution	distribution	NOUN
ejpam-6382	275	12	.	.	PUNCT
ejpam-6382	276	1	the	the	DET
ejpam-6382	276	2	corresponding	corresponding	ADJ
ejpam-6382	276	3	likelihood	likelihood	NOUN
ejpam-6382	276	4	function	function	NOUN
ejpam-6382	276	5	is	be	AUX
ejpam-6382	276	6	given	give	VERB
ejpam-6382	276	7	by	by	ADP
ejpam-6382	276	8	:	:	PUNCT
ejpam-6382	276	9	l(y	l(y	PROPN
ejpam-6382	276	10	)	)	PUNCT
ejpam-6382	277	1	=	=	PUNCT
ejpam-6382	277	2	n∏	n∏	PROPN
ejpam-6382	277	3	i=1	i=1	PROPN
ejpam-6382	278	1	pl[yl	pl[yl	NOUN
ejpam-6382	278	2	=	=	SYM
ejpam-6382	278	3	yi	yi	PROPN
ejpam-6382	278	4	]	]	PUNCT
ejpam-6382	278	5	.	.	PUNCT
ejpam-6382	279	1	the	the	DET
ejpam-6382	279	2	log	log	NOUN
ejpam-6382	279	3	-	-	PUNCT
ejpam-6382	279	4	likelihood	likelihood	NOUN
ejpam-6382	279	5	function	function	NOUN
ejpam-6382	279	6	is	be	AUX
ejpam-6382	279	7	given	give	VERB
ejpam-6382	279	8	as	as	ADP
ejpam-6382	279	9	log	log	NOUN
ejpam-6382	279	10	l(y	l(y	PROPN
ejpam-6382	279	11	)	)	PUNCT
ejpam-6382	279	12	=	=	SYM
ejpam-6382	280	1	n∑	n∑	PROPN
ejpam-6382	280	2	i=1	i=1	PROPN
ejpam-6382	280	3	log	log	NOUN
ejpam-6382	280	4	q(yi	q(yi	PROPN
ejpam-6382	280	5	;	;	PUNCT
ejpam-6382	280	6	ξ	ξ	X
ejpam-6382	280	7	)	)	PUNCT
ejpam-6382	280	8	q(y	q(y	NOUN
ejpam-6382	280	9	;	;	PUNCT
ejpam-6382	280	10	ξ	ξ	X
ejpam-6382	280	11	)	)	PUNCT
ejpam-6382	281	1	=	=	SYM
ejpam-6382	281	2	n∑	n∑	PROPN
ejpam-6382	282	1	i=1	i=1	PROPN
ejpam-6382	282	2	log	log	VERB
ejpam-6382	282	3	p	p	PROPN
ejpam-6382	283	1	[	[	X
ejpam-6382	283	2	y	y	NOUN
ejpam-6382	283	3	=	=	PUNCT
ejpam-6382	283	4	yi	yi	PROPN
ejpam-6382	283	5	]	]	X
ejpam-6382	284	1	+	+	CCONJ
ejpam-6382	284	2	n∑	n∑	NOUN
ejpam-6382	284	3	i=1	i=1	PROPN
ejpam-6382	284	4	log	log	VERB
ejpam-6382	284	5	yi	yi	PROPN
ejpam-6382	284	6	−	−	PROPN
ejpam-6382	284	7	n	n	NUM
ejpam-6382	284	8	log	log	NOUN
ejpam-6382	284	9	q(y	q(y	X
ejpam-6382	284	10	;	;	PUNCT
ejpam-6382	284	11	ξ	ξ	X
ejpam-6382	284	12	)	)	PUNCT
ejpam-6382	285	1	=	=	SYM
ejpam-6382	285	2	n∑	n∑	PROPN
ejpam-6382	285	3	i=1	i=1	PROPN
ejpam-6382	285	4	log	log	NOUN
ejpam-6382	285	5	[	[	PUNCT
ejpam-6382	285	6	exp	exp	X
ejpam-6382	285	7	{	{	PUNCT
ejpam-6382	285	8	−βα	−βα	PROPN
ejpam-6382	285	9	(	(	PUNCT
ejpam-6382	285	10	m	m	VERB
ejpam-6382	285	11	yi	yi	NOUN
ejpam-6382	286	1	+	+	CCONJ
ejpam-6382	286	2	1	1	NUM
ejpam-6382	286	3	)	)	PUNCT
ejpam-6382	286	4	αk	αk	ADP
ejpam-6382	286	5	}	}	PUNCT
ejpam-6382	286	6	−	−	PROPN
ejpam-6382	286	7	exp	exp	NOUN
ejpam-6382	286	8	{	{	PUNCT
ejpam-6382	286	9	−βα	−βα	PROPN
ejpam-6382	286	10	(	(	PUNCT
ejpam-6382	286	11	m	m	VERB
ejpam-6382	286	12	yi	yi	NOUN
ejpam-6382	286	13	)	)	PUNCT
ejpam-6382	286	14	αk	αk	ADP
ejpam-6382	286	15	}	}	PUNCT
ejpam-6382	286	16	]	]	PUNCT
ejpam-6382	287	1	+	+	CCONJ
ejpam-6382	287	2	n∑	n∑	X
ejpam-6382	287	3	i=1	i=1	PROPN
ejpam-6382	287	4	log	log	NOUN
ejpam-6382	287	5	yi	yi	NOUN
ejpam-6382	287	6	−n	−n	ADV
ejpam-6382	287	7	log	log	NOUN
ejpam-6382	287	8	q(y	q(y	X
ejpam-6382	287	9	;	;	PUNCT
ejpam-6382	287	10	ξ	ξ	X
ejpam-6382	287	11	)	)	PUNCT
ejpam-6382	287	12	.	.	PUNCT
ejpam-6382	288	1	(	(	PUNCT
ejpam-6382	288	2	5.1	5.1	NUM
ejpam-6382	288	3	)	)	PUNCT
ejpam-6382	288	4	it	it	PRON
ejpam-6382	288	5	is	be	AUX
ejpam-6382	288	6	clear	clear	ADJ
ejpam-6382	288	7	from	from	ADP
ejpam-6382	288	8	the	the	DET
ejpam-6382	288	9	eq.(5.1	eq.(5.1	NOUN
ejpam-6382	288	10	)	)	PUNCT
ejpam-6382	288	11	,	,	PUNCT
ejpam-6382	288	12	that	that	SCONJ
ejpam-6382	288	13	the	the	DET
ejpam-6382	288	14	second	second	ADJ
ejpam-6382	288	15	and	and	CCONJ
ejpam-6382	288	16	third	third	ADJ
ejpam-6382	288	17	terms	term	NOUN
ejpam-6382	288	18	are	be	AUX
ejpam-6382	288	19	constants	constant	NOUN
ejpam-6382	288	20	and	and	CCONJ
ejpam-6382	288	21	so	so	ADV
ejpam-6382	288	22	the	the	DET
ejpam-6382	288	23	differentiation	differentiation	NOUN
ejpam-6382	288	24	will	will	AUX
ejpam-6382	288	25	only	only	ADV
ejpam-6382	288	26	depend	depend	VERB
ejpam-6382	288	27	on	on	ADP
ejpam-6382	288	28	the	the	DET
ejpam-6382	288	29	first	first	ADJ
ejpam-6382	288	30	term	term	NOUN
ejpam-6382	288	31	.	.	PUNCT
ejpam-6382	289	1	now	now	ADV
ejpam-6382	289	2	differentiating	differentiate	VERB
ejpam-6382	289	3	eq.(5.1	eq.(5.1	PROPN
ejpam-6382	289	4	)	)	PUNCT
ejpam-6382	289	5	with	with	ADP
ejpam-6382	289	6	respect	respect	NOUN
ejpam-6382	289	7	to	to	ADP
ejpam-6382	289	8	α	α	PRON
ejpam-6382	289	9	,	,	PUNCT
ejpam-6382	289	10	β	β	X
ejpam-6382	289	11	,	,	PUNCT
ejpam-6382	289	12	m	m	VERB
ejpam-6382	289	13	and	and	CCONJ
ejpam-6382	289	14	k	k	NOUN
ejpam-6382	289	15	,	,	PUNCT
ejpam-6382	289	16	we	we	PRON
ejpam-6382	289	17	get	get	VERB
ejpam-6382	289	18	∂	∂	NUM
ejpam-6382	289	19	log	log	NOUN
ejpam-6382	289	20	l(y	l(y	PROPN
ejpam-6382	289	21	)	)	PUNCT
ejpam-6382	290	1	∂α	∂α	PROPN
ejpam-6382	290	2	=	=	PUNCT
ejpam-6382	290	3	n∑	n∑	PROPN
ejpam-6382	291	1	i=1	i=1	PROPN
ejpam-6382	291	2	b(yi	b(yi	PROPN
ejpam-6382	291	3	+	+	CCONJ
ejpam-6382	291	4	1	1	X
ejpam-6382	291	5	)	)	PUNCT
ejpam-6382	291	6	c(yi	c(yi	NOUN
ejpam-6382	291	7	+	+	NUM
ejpam-6382	291	8	1)−b(yi	1)−b(yi	NUM
ejpam-6382	291	9	)	)	PUNCT
ejpam-6382	291	10	c(yi	c(yi	NOUN
ejpam-6382	291	11	)	)	PUNCT
ejpam-6382	291	12	a(yi	a(yi	NUM
ejpam-6382	291	13	)	)	PUNCT
ejpam-6382	291	14	,	,	PUNCT
ejpam-6382	291	15	(	(	PUNCT
ejpam-6382	291	16	5.2	5.2	X
ejpam-6382	291	17	)	)	PUNCT
ejpam-6382	291	18	d.	d.	PROPN
ejpam-6382	291	19	das	das	PROPN
ejpam-6382	291	20	et	et	PROPN
ejpam-6382	291	21	al	al	PROPN
ejpam-6382	291	22	.	.	PUNCT
ejpam-6382	291	23	/	/	SYM
ejpam-6382	291	24	eur	eur	PROPN
ejpam-6382	291	25	.	.	PUNCT
ejpam-6382	292	1	j.	j.	PROPN
ejpam-6382	292	2	pure	pure	PROPN
ejpam-6382	292	3	appl	appl	PROPN
ejpam-6382	292	4	.	.	PROPN
ejpam-6382	292	5	math	math	PROPN
ejpam-6382	292	6	,	,	PUNCT
ejpam-6382	292	7	18	18	NUM
ejpam-6382	292	8	(	(	PUNCT
ejpam-6382	292	9	3	3	NUM
ejpam-6382	292	10	)	)	PUNCT
ejpam-6382	292	11	(	(	PUNCT
ejpam-6382	292	12	2025	2025	NUM
ejpam-6382	292	13	)	)	PUNCT
ejpam-6382	292	14	,	,	PUNCT
ejpam-6382	292	15	6382	6382	NUM
ejpam-6382	292	16	16	16	NUM
ejpam-6382	292	17	of	of	ADP
ejpam-6382	292	18	29	29	NUM
ejpam-6382	292	19	∂	∂	NUM
ejpam-6382	292	20	log	log	NOUN
ejpam-6382	292	21	l(y	l(y	PROPN
ejpam-6382	292	22	)	)	PUNCT
ejpam-6382	293	1	∂β	∂β	PROPN
ejpam-6382	293	2	=	=	PUNCT
ejpam-6382	293	3	n∑	n∑	PROPN
ejpam-6382	293	4	i=1	i=1	PROPN
ejpam-6382	293	5	b(yi	b(yi	NUM
ejpam-6382	293	6	+	+	CCONJ
ejpam-6382	293	7	1	1	NUM
ejpam-6382	293	8	)	)	PUNCT
ejpam-6382	293	9	d(yi	d(yi	ADJ
ejpam-6382	293	10	+	+	CCONJ
ejpam-6382	293	11	1)−b(yi	1)−b(yi	NUM
ejpam-6382	293	12	)	)	PUNCT
ejpam-6382	293	13	d(yi	d(yi	NUM
ejpam-6382	293	14	)	)	PUNCT
ejpam-6382	293	15	a(yi	a(yi	NUM
ejpam-6382	293	16	)	)	PUNCT
ejpam-6382	293	17	,	,	PUNCT
ejpam-6382	293	18	(	(	PUNCT
ejpam-6382	293	19	5.3	5.3	NUM
ejpam-6382	293	20	)	)	PUNCT
ejpam-6382	293	21	∂	∂	NUM
ejpam-6382	293	22	log	log	NOUN
ejpam-6382	293	23	l(y	l(y	PROPN
ejpam-6382	293	24	)	)	PUNCT
ejpam-6382	293	25	∂m	∂m	PROPN
ejpam-6382	294	1	=	=	PUNCT
ejpam-6382	294	2	n∑	n∑	PROPN
ejpam-6382	294	3	i=1	i=1	PROPN
ejpam-6382	294	4	b(yi	b(yi	PROPN
ejpam-6382	294	5	+	+	CCONJ
ejpam-6382	294	6	1	1	NUM
ejpam-6382	294	7	)	)	PUNCT
ejpam-6382	294	8	e(yi	e(yi	PUNCT
ejpam-6382	294	9	+	+	CCONJ
ejpam-6382	294	10	1)−b(yi	1)−b(yi	NUM
ejpam-6382	294	11	)	)	PUNCT
ejpam-6382	294	12	e(yi	e(yi	ADV
ejpam-6382	294	13	)	)	PUNCT
ejpam-6382	294	14	a(yi	a(yi	NUM
ejpam-6382	294	15	)	)	PUNCT
ejpam-6382	294	16	,	,	PUNCT
ejpam-6382	294	17	(	(	PUNCT
ejpam-6382	294	18	5.4	5.4	NUM
ejpam-6382	294	19	)	)	PUNCT
ejpam-6382	294	20	∂	∂	NUM
ejpam-6382	294	21	log	log	NOUN
ejpam-6382	294	22	l(y	l(y	PROPN
ejpam-6382	294	23	)	)	PUNCT
ejpam-6382	295	1	∂k	∂k	PROPN
ejpam-6382	295	2	=	=	PUNCT
ejpam-6382	295	3	n∑	n∑	PROPN
ejpam-6382	295	4	i=1	i=1	PROPN
ejpam-6382	295	5	b(yi	b(yi	NUM
ejpam-6382	295	6	+	+	CCONJ
ejpam-6382	295	7	1	1	X
ejpam-6382	295	8	)	)	PUNCT
ejpam-6382	295	9	f	f	NOUN
ejpam-6382	295	10	(	(	PUNCT
ejpam-6382	295	11	yi	yi	NOUN
ejpam-6382	295	12	+	+	CCONJ
ejpam-6382	295	13	1)−b(yi	1)−b(yi	NUM
ejpam-6382	295	14	)	)	PUNCT
ejpam-6382	296	1	f	f	PROPN
ejpam-6382	296	2	(	(	PUNCT
ejpam-6382	296	3	yi	yi	NOUN
ejpam-6382	296	4	)	)	PUNCT
ejpam-6382	296	5	a(yi	a(yi	ADV
ejpam-6382	296	6	)	)	PUNCT
ejpam-6382	296	7	,	,	PUNCT
ejpam-6382	296	8	(	(	PUNCT
ejpam-6382	296	9	5.5	5.5	NUM
ejpam-6382	296	10	)	)	PUNCT
ejpam-6382	296	11	where	where	SCONJ
ejpam-6382	296	12	a(yi	a(yi	NUM
ejpam-6382	296	13	)	)	PUNCT
ejpam-6382	296	14	=	=	SYM
ejpam-6382	296	15	exp	exp	NOUN
ejpam-6382	296	16	{	{	PUNCT
ejpam-6382	296	17	−βα	−βα	PROPN
ejpam-6382	296	18	(	(	PUNCT
ejpam-6382	296	19	m	m	PROPN
ejpam-6382	296	20	yi+1	yi+1	NUM
ejpam-6382	296	21	)	)	PUNCT
ejpam-6382	296	22	αk	αk	ADP
ejpam-6382	296	23	}	}	PUNCT
ejpam-6382	296	24	−exp	−exp	NOUN
ejpam-6382	296	25	{	{	PUNCT
ejpam-6382	296	26	−βα	−βα	ADV
ejpam-6382	296	27	(	(	PUNCT
ejpam-6382	296	28	m	m	VERB
ejpam-6382	296	29	yi	yi	NOUN
ejpam-6382	296	30	)	)	PUNCT
ejpam-6382	296	31	αk	αk	ADP
ejpam-6382	296	32	}	}	PUNCT
ejpam-6382	296	33	=	=	PUNCT
ejpam-6382	297	1	p	p	X
ejpam-6382	297	2	[	[	X
ejpam-6382	297	3	y	y	X
ejpam-6382	297	4	=	=	SYM
ejpam-6382	297	5	yi	yi	PROPN
ejpam-6382	297	6	]	]	PUNCT
ejpam-6382	297	7	,	,	PUNCT
ejpam-6382	297	8	b(yi	b(yi	NUM
ejpam-6382	297	9	)	)	PUNCT
ejpam-6382	297	10	=	=	SYM
ejpam-6382	297	11	exp	exp	NOUN
ejpam-6382	297	12	{	{	PUNCT
ejpam-6382	297	13	−βα	−βα	PROPN
ejpam-6382	297	14	(	(	PUNCT
ejpam-6382	297	15	m	m	VERB
ejpam-6382	297	16	yi	yi	NOUN
ejpam-6382	297	17	)	)	PUNCT
ejpam-6382	297	18	αk	αk	ADP
ejpam-6382	297	19	}	}	PUNCT
ejpam-6382	297	20	,	,	PUNCT
ejpam-6382	297	21	c(yi	c(yi	X
ejpam-6382	297	22	)	)	PUNCT
ejpam-6382	297	23	=	=	PRON
ejpam-6382	297	24	{	{	PUNCT
ejpam-6382	297	25	−αβ	−αβ	PROPN
ejpam-6382	297	26	(	(	PUNCT
ejpam-6382	297	27	m	m	NOUN
ejpam-6382	297	28	yi	yi	NOUN
ejpam-6382	297	29	)	)	PUNCT
ejpam-6382	298	1	k	k	X
ejpam-6382	298	2	}	}	PUNCT
ejpam-6382	298	3	α−1	α−1	PROPN
ejpam-6382	298	4	,	,	PUNCT
ejpam-6382	298	5	d(yi	d(yi	NUM
ejpam-6382	298	6	)	)	PUNCT
ejpam-6382	298	7	=	=	SYM
ejpam-6382	298	8	−αβα−1	−αβα−1	NOUN
ejpam-6382	298	9	(	(	PUNCT
ejpam-6382	298	10	m	m	NOUN
ejpam-6382	298	11	yi	yi	NOUN
ejpam-6382	298	12	)	)	PUNCT
ejpam-6382	298	13	αk	αk	NOUN
ejpam-6382	298	14	,	,	PUNCT
ejpam-6382	298	15	e(yi	e(yi	NOUN
ejpam-6382	298	16	)	)	PUNCT
ejpam-6382	298	17	=	=	PUNCT
ejpam-6382	298	18	−αkβαmαk−1y−αk	−αkβαmαk−1y−αk	NOUN
ejpam-6382	298	19	and	and	CCONJ
ejpam-6382	298	20	f	f	PROPN
ejpam-6382	298	21	(	(	PUNCT
ejpam-6382	298	22	yi	yi	NOUN
ejpam-6382	298	23	)	)	PUNCT
ejpam-6382	299	1	=	=	SYM
ejpam-6382	299	2	−α2βαk	−α2βαk	NOUN
ejpam-6382	299	3	(	(	PUNCT
ejpam-6382	299	4	m	m	NOUN
ejpam-6382	299	5	yi	yi	NOUN
ejpam-6382	299	6	)	)	PUNCT
ejpam-6382	299	7	αk−1	αk−1	NOUN
ejpam-6382	299	8	.	.	PUNCT
ejpam-6382	300	1	solving	solve	VERB
ejpam-6382	300	2	the	the	DET
ejpam-6382	300	3	non	non	ADJ
ejpam-6382	300	4	-	-	ADJ
ejpam-6382	300	5	linear	linear	ADJ
ejpam-6382	300	6	equations	equation	NOUN
ejpam-6382	300	7	,	,	PUNCT
ejpam-6382	300	8	eq.(5.2	eq.(5.2	NOUN
ejpam-6382	300	9	)	)	PUNCT
ejpam-6382	300	10	,	,	PUNCT
ejpam-6382	300	11	(	(	PUNCT
ejpam-6382	300	12	5.3	5.3	NUM
ejpam-6382	300	13	)	)	PUNCT
ejpam-6382	300	14	,	,	PUNCT
ejpam-6382	300	15	(	(	PUNCT
ejpam-6382	300	16	5.4	5.4	NUM
ejpam-6382	300	17	)	)	PUNCT
ejpam-6382	300	18	and	and	CCONJ
ejpam-6382	300	19	(	(	PUNCT
ejpam-6382	300	20	5.5	5.5	NUM
ejpam-6382	300	21	)	)	PUNCT
ejpam-6382	300	22	by	by	ADP
ejpam-6382	300	23	equating	equate	VERB
ejpam-6382	300	24	them	they	PRON
ejpam-6382	300	25	to	to	ADP
ejpam-6382	300	26	zero	zero	NUM
ejpam-6382	300	27	,	,	PUNCT
ejpam-6382	300	28	we	we	PRON
ejpam-6382	300	29	obtain	obtain	VERB
ejpam-6382	300	30	the	the	DET
ejpam-6382	300	31	maximum	maximum	ADJ
ejpam-6382	300	32	likelihood	likelihood	NOUN
ejpam-6382	300	33	estimators	estimator	NOUN
ejpam-6382	300	34	(	(	PUNCT
ejpam-6382	300	35	mle	mle	PROPN
ejpam-6382	300	36	)	)	PUNCT
ejpam-6382	300	37	of	of	ADP
ejpam-6382	300	38	ξ̂	ξ̂	NUM
ejpam-6382	300	39	=	=	SYM
ejpam-6382	300	40	(	(	PUNCT
ejpam-6382	300	41	α̂	α̂	NOUN
ejpam-6382	300	42	,	,	PUNCT
ejpam-6382	300	43	β̂	β̂	ADP
ejpam-6382	300	44	,	,	PUNCT
ejpam-6382	300	45	m̂	m̂	PROPN
ejpam-6382	300	46	,	,	PUNCT
ejpam-6382	300	47	k̂)t	k̂)t	VERB
ejpam-6382	300	48	for	for	ADP
ejpam-6382	300	49	the	the	DET
ejpam-6382	300	50	parameter	parameter	NOUN
ejpam-6382	300	51	vector	vector	NOUN
ejpam-6382	300	52	ξ	ξ	PROPN
ejpam-6382	300	53	=	=	SYM
ejpam-6382	300	54	(	(	PUNCT
ejpam-6382	300	55	α	α	X
ejpam-6382	300	56	,	,	PUNCT
ejpam-6382	300	57	β	β	X
ejpam-6382	300	58	,	,	PUNCT
ejpam-6382	300	59	m	m	PRON
ejpam-6382	300	60	,	,	PUNCT
ejpam-6382	300	61	k)t	k)t	VERB
ejpam-6382	300	62	.	.	PUNCT
ejpam-6382	301	1	these	these	DET
ejpam-6382	301	2	equations	equation	NOUN
ejpam-6382	301	3	do	do	AUX
ejpam-6382	301	4	not	not	PART
ejpam-6382	301	5	have	have	VERB
ejpam-6382	301	6	explicit	explicit	ADJ
ejpam-6382	301	7	solutions	solution	NOUN
ejpam-6382	301	8	and	and	CCONJ
ejpam-6382	301	9	so	so	ADV
ejpam-6382	301	10	they	they	PRON
ejpam-6382	301	11	are	be	AUX
ejpam-6382	301	12	obtained	obtain	VERB
ejpam-6382	301	13	by	by	ADP
ejpam-6382	301	14	using	use	VERB
ejpam-6382	301	15	the	the	DET
ejpam-6382	301	16	statistical	statistical	ADJ
ejpam-6382	301	17	package	package	NOUN
ejpam-6382	301	18	optim	optim	VERB
ejpam-6382	301	19	in	in	ADP
ejpam-6382	301	20	r	r	NOUN
ejpam-6382	301	21	programming	programming	NOUN
ejpam-6382	301	22	.	.	PUNCT
ejpam-6382	302	1	now	now	ADV
ejpam-6382	302	2	applying	apply	VERB
ejpam-6382	302	3	the	the	DET
ejpam-6382	302	4	usual	usual	ADJ
ejpam-6382	302	5	large	large	ADJ
ejpam-6382	302	6	sample	sample	NOUN
ejpam-6382	302	7	approximation	approximation	NOUN
ejpam-6382	302	8	,	,	PUNCT
ejpam-6382	302	9	the	the	DET
ejpam-6382	302	10	mle	mle	PROPN
ejpam-6382	302	11	ξ̂	ξ̂	NOUN
ejpam-6382	302	12	can	can	AUX
ejpam-6382	302	13	be	be	AUX
ejpam-6382	302	14	treated	treat	VERB
ejpam-6382	302	15	as	as	ADP
ejpam-6382	302	16	being	be	AUX
ejpam-6382	302	17	approximately	approximately	ADV
ejpam-6382	302	18	multivariate	multivariate	VERB
ejpam-6382	302	19	normal	normal	ADJ
ejpam-6382	302	20	with	with	ADP
ejpam-6382	302	21	variance	variance	NOUN
ejpam-6382	302	22	-	-	PUNCT
ejpam-6382	302	23	covariance	covariance	NOUN
ejpam-6382	302	24	matrix	matrix	NOUN
ejpam-6382	302	25	equal	equal	ADJ
ejpam-6382	302	26	to	to	ADP
ejpam-6382	302	27	the	the	DET
ejpam-6382	302	28	inverse	inverse	NOUN
ejpam-6382	302	29	of	of	ADP
ejpam-6382	302	30	the	the	DET
ejpam-6382	302	31	expected	expect	VERB
ejpam-6382	302	32	fisher	fisher	PROPN
ejpam-6382	302	33	’s	’s	PART
ejpam-6382	302	34	information	information	NOUN
ejpam-6382	302	35	matrix	matrix	NOUN
ejpam-6382	302	36	,	,	PUNCT
ejpam-6382	302	37	i.e.	i.e.	X
ejpam-6382	302	38	√	√	ADP
ejpam-6382	302	39	n(ξ̂	n(ξ̂	ADP
ejpam-6382	302	40	−	−	PROPN
ejpam-6382	302	41	ξ	ξ	X
ejpam-6382	302	42	)	)	PUNCT
ejpam-6382	302	43	−→	−→	PROPN
ejpam-6382	302	44	n(0	n(0	PROPN
ejpam-6382	302	45	,	,	PUNCT
ejpam-6382	302	46	n	n	PROPN
ejpam-6382	302	47	i−1(ξ	i−1(ξ	PROPN
ejpam-6382	302	48	)	)	PUNCT
ejpam-6382	302	49	)	)	PUNCT
ejpam-6382	302	50	,	,	PUNCT
ejpam-6382	302	51	where	where	SCONJ
ejpam-6382	302	52	i−1(ξ	i−1(ξ	ADJ
ejpam-6382	302	53	)	)	PUNCT
ejpam-6382	302	54	is	be	AUX
ejpam-6382	302	55	the	the	DET
ejpam-6382	302	56	limiting	limit	VERB
ejpam-6382	302	57	variance	variance	NOUN
ejpam-6382	302	58	-	-	PUNCT
ejpam-6382	302	59	covariance	covariance	NOUN
ejpam-6382	302	60	matrix	matrix	NOUN
ejpam-6382	302	61	of	of	ADP
ejpam-6382	302	62	ξ̂.	ξ̂.	NOUN
ejpam-6382	302	63	the	the	DET
ejpam-6382	302	64	elements	element	NOUN
ejpam-6382	302	65	of	of	ADP
ejpam-6382	302	66	4×4	4×4	NUM
ejpam-6382	302	67	fisher	fisher	PROPN
ejpam-6382	302	68	’s	’s	PART
ejpam-6382	302	69	information	information	NOUN
ejpam-6382	302	70	matrix	matrix	NOUN
ejpam-6382	302	71	are	be	AUX
ejpam-6382	302	72	as	as	SCONJ
ejpam-6382	302	73	given	give	VERB
ejpam-6382	302	74	below	below	ADP
ejpam-6382	302	75	i(ξ̂	i(ξ̂	ADJ
ejpam-6382	302	76	)	)	PUNCT
ejpam-6382	302	77	=	=	SYM
ejpam-6382	302	78			NOUN
ejpam-6382	302	79	i11	i11	NOUN
ejpam-6382	302	80	i12	i12	PROPN
ejpam-6382	302	81	i13	i13	PROPN
ejpam-6382	302	82	i14	i14	PROPN
ejpam-6382	302	83	i21	i21	PROPN
ejpam-6382	302	84	i22	i22	PROPN
ejpam-6382	302	85	i23	i23	PROPN
ejpam-6382	302	86	i24	i24	PROPN
ejpam-6382	302	87	i31	i31	PROPN
ejpam-6382	302	88	i32	i32	PROPN
ejpam-6382	302	89	i33	i33	VERB
ejpam-6382	303	1	i34	i34	PROPN
ejpam-6382	303	2	i41	i41	PROPN
ejpam-6382	304	1	i42	i42	PROPN
ejpam-6382	304	2	i43	i43	PROPN
ejpam-6382	304	3	i44	i44	PROPN
ejpam-6382	304	4			PROPN
ejpam-6382	304	5	,	,	PUNCT
ejpam-6382	304	6	where	where	SCONJ
ejpam-6382	304	7	the	the	DET
ejpam-6382	304	8	elements	element	NOUN
ejpam-6382	304	9	of	of	ADP
ejpam-6382	304	10	i(ξ̂	i(ξ̂	ADJ
ejpam-6382	304	11	)	)	PUNCT
ejpam-6382	304	12	are	be	AUX
ejpam-6382	304	13	as	as	ADV
ejpam-6382	304	14	defined	define	VERB
ejpam-6382	304	15	below	below	ADP
ejpam-6382	304	16	i11	i11	NOUN
ejpam-6382	304	17	=	=	SYM
ejpam-6382	304	18	−∂2	−∂2	NOUN
ejpam-6382	304	19	log	log	NOUN
ejpam-6382	304	20	l(y	l(y	PROPN
ejpam-6382	304	21	)	)	PUNCT
ejpam-6382	304	22	∂α2	∂α2	NOUN
ejpam-6382	304	23	∣∣∣	∣∣∣	ADJ
ejpam-6382	304	24	(	(	PUNCT
ejpam-6382	304	25	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	26	)	)	PUNCT
ejpam-6382	304	27	,	,	PUNCT
ejpam-6382	304	28	i22	i22	NOUN
ejpam-6382	304	29	=	=	SYM
ejpam-6382	304	30	−∂2	−∂2	PROPN
ejpam-6382	304	31	log	log	NOUN
ejpam-6382	304	32	l(y	l(y	PROPN
ejpam-6382	304	33	)	)	PUNCT
ejpam-6382	304	34	∂β2	∂β2	ADJ
ejpam-6382	304	35	∣∣∣	∣∣∣	X
ejpam-6382	304	36	(	(	PUNCT
ejpam-6382	304	37	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	38	)	)	PUNCT
ejpam-6382	304	39	,	,	PUNCT
ejpam-6382	304	40	i33	i33	ADJ
ejpam-6382	304	41	=	=	NOUN
ejpam-6382	304	42	−∂2	−∂2	PROPN
ejpam-6382	304	43	log	log	NOUN
ejpam-6382	304	44	l(y	l(y	PROPN
ejpam-6382	304	45	)	)	PUNCT
ejpam-6382	304	46	∂m2	∂m2	VERB
ejpam-6382	304	47	∣∣∣	∣∣∣	ADJ
ejpam-6382	304	48	(	(	PUNCT
ejpam-6382	304	49	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	50	)	)	PUNCT
ejpam-6382	304	51	,	,	PUNCT
ejpam-6382	304	52	i44	i44	PROPN
ejpam-6382	304	53	=	=	PRON
ejpam-6382	304	54	−∂2	−∂2	PROPN
ejpam-6382	304	55	log	log	NOUN
ejpam-6382	304	56	l(y	l(y	PROPN
ejpam-6382	304	57	)	)	PUNCT
ejpam-6382	304	58	∂k2	∂k2	ADJ
ejpam-6382	304	59	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	60	(	(	PUNCT
ejpam-6382	304	61	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	62	)	)	PUNCT
ejpam-6382	304	63	,	,	PUNCT
ejpam-6382	304	64	i12	i12	NOUN
ejpam-6382	304	65	=	=	VERB
ejpam-6382	304	66	i21	i21	NOUN
ejpam-6382	304	67	=	=	SYM
ejpam-6382	304	68	−∂2	−∂2	PROPN
ejpam-6382	304	69	log	log	NOUN
ejpam-6382	304	70	l(y	l(y	PROPN
ejpam-6382	304	71	)	)	PUNCT
ejpam-6382	304	72	∂αβ	∂αβ	PROPN
ejpam-6382	304	73	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	74	(	(	PUNCT
ejpam-6382	304	75	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	76	)	)	PUNCT
ejpam-6382	304	77	,	,	PUNCT
ejpam-6382	304	78	i13	i13	PROPN
ejpam-6382	304	79	=	=	NOUN
ejpam-6382	304	80	i31	i31	NOUN
ejpam-6382	304	81	=	=	NOUN
ejpam-6382	304	82	−∂2	−∂2	NOUN
ejpam-6382	304	83	log	log	NOUN
ejpam-6382	304	84	l(y	l(y	PROPN
ejpam-6382	304	85	)	)	PUNCT
ejpam-6382	304	86	∂αm	∂αm	PROPN
ejpam-6382	304	87	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	88	(	(	PUNCT
ejpam-6382	304	89	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	90	)	)	PUNCT
ejpam-6382	304	91	,	,	PUNCT
ejpam-6382	304	92	i14	i14	NOUN
ejpam-6382	304	93	=	=	SYM
ejpam-6382	304	94	i41	i41	PROPN
ejpam-6382	304	95	=	=	PUNCT
ejpam-6382	304	96	−∂2	−∂2	PROPN
ejpam-6382	304	97	log	log	NOUN
ejpam-6382	304	98	l(y	l(y	PROPN
ejpam-6382	304	99	)	)	PUNCT
ejpam-6382	304	100	∂αk	∂αk	PROPN
ejpam-6382	304	101	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	102	(	(	PUNCT
ejpam-6382	304	103	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	104	)	)	PUNCT
ejpam-6382	304	105	,	,	PUNCT
ejpam-6382	304	106	i23	i23	PROPN
ejpam-6382	304	107	=	=	PROPN
ejpam-6382	304	108	i32	i32	PROPN
ejpam-6382	304	109	=	=	PUNCT
ejpam-6382	304	110	−∂2	−∂2	PROPN
ejpam-6382	304	111	log	log	NOUN
ejpam-6382	304	112	l(y	l(y	PROPN
ejpam-6382	304	113	)	)	PUNCT
ejpam-6382	304	114	∂βm	∂βm	PROPN
ejpam-6382	304	115	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	116	(	(	PUNCT
ejpam-6382	304	117	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	118	)	)	PUNCT
ejpam-6382	304	119	,	,	PUNCT
ejpam-6382	304	120	i24	i24	NOUN
ejpam-6382	304	121	=	=	SYM
ejpam-6382	304	122	i42	i42	NOUN
ejpam-6382	304	123	=	=	NOUN
ejpam-6382	304	124	−∂2	−∂2	PROPN
ejpam-6382	304	125	log	log	VERB
ejpam-6382	304	126	l(y	l(y	PROPN
ejpam-6382	304	127	)	)	PUNCT
ejpam-6382	304	128	∂βk	∂βk	NOUN
ejpam-6382	304	129	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	130	(	(	PUNCT
ejpam-6382	304	131	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	132	)	)	PUNCT
ejpam-6382	304	133	,	,	PUNCT
ejpam-6382	304	134	i34	i34	NOUN
ejpam-6382	304	135	=	=	SYM
ejpam-6382	304	136	i43	i43	NOUN
ejpam-6382	304	137	=	=	NOUN
ejpam-6382	304	138	−∂2	−∂2	NOUN
ejpam-6382	304	139	log	log	NOUN
ejpam-6382	304	140	l(y	l(y	PROPN
ejpam-6382	304	141	)	)	PUNCT
ejpam-6382	304	142	∂mk	∂mk	NOUN
ejpam-6382	304	143	∣∣∣	∣∣∣	NOUN
ejpam-6382	304	144	(	(	PUNCT
ejpam-6382	304	145	α̂,β̂,m̂,k̂	α̂,β̂,m̂,k̂	PROPN
ejpam-6382	304	146	)	)	PUNCT
ejpam-6382	304	147	.	.	PUNCT
ejpam-6382	305	1	this	this	PRON
ejpam-6382	305	2	can	can	AUX
ejpam-6382	305	3	be	be	AUX
ejpam-6382	305	4	used	use	VERB
ejpam-6382	305	5	to	to	PART
ejpam-6382	305	6	obtain	obtain	VERB
ejpam-6382	305	7	the	the	DET
ejpam-6382	305	8	100(1−η)%	100(1−η)%	NUM
ejpam-6382	305	9	asymptotic	asymptotic	ADJ
ejpam-6382	305	10	confidence	confidence	NOUN
ejpam-6382	305	11	interval	interval	NOUN
ejpam-6382	305	12	of	of	ADP
ejpam-6382	305	13	the	the	DET
ejpam-6382	305	14	parameter	parameter	PROPN
ejpam-6382	305	15	d.	d.	PROPN
ejpam-6382	305	16	das	das	PROPN
ejpam-6382	305	17	et	et	PROPN
ejpam-6382	305	18	al	al	PROPN
ejpam-6382	305	19	.	.	PUNCT
ejpam-6382	305	20	/	/	SYM
ejpam-6382	305	21	eur	eur	PROPN
ejpam-6382	305	22	.	.	PUNCT
ejpam-6382	306	1	j.	j.	PROPN
ejpam-6382	306	2	pure	pure	PROPN
ejpam-6382	306	3	appl	appl	PROPN
ejpam-6382	306	4	.	.	PROPN
ejpam-6382	306	5	math	math	PROPN
ejpam-6382	306	6	,	,	PUNCT
ejpam-6382	306	7	18	18	NUM
ejpam-6382	306	8	(	(	PUNCT
ejpam-6382	306	9	3	3	NUM
ejpam-6382	306	10	)	)	PUNCT
ejpam-6382	306	11	(	(	PUNCT
ejpam-6382	306	12	2025	2025	NUM
ejpam-6382	306	13	)	)	PUNCT
ejpam-6382	306	14	,	,	PUNCT
ejpam-6382	306	15	6382	6382	NUM
ejpam-6382	306	16	17	17	NUM
ejpam-6382	306	17	of	of	ADP
ejpam-6382	306	18	29	29	NUM
ejpam-6382	306	19	vector	vector	NOUN
ejpam-6382	306	20	ξ	ξ	NOUN
ejpam-6382	306	21	=	=	SYM
ejpam-6382	306	22	(	(	PUNCT
ejpam-6382	306	23	α	α	X
ejpam-6382	306	24	,	,	PUNCT
ejpam-6382	306	25	β	β	X
ejpam-6382	306	26	,	,	PUNCT
ejpam-6382	306	27	m	m	PRON
ejpam-6382	306	28	,	,	PUNCT
ejpam-6382	306	29	k)t	k)t	X
ejpam-6382	306	30	.	.	PUNCT
ejpam-6382	307	1	let	let	VERB
ejpam-6382	307	2	,	,	PUNCT
ejpam-6382	307	3	ξj	ξj	NOUN
ejpam-6382	307	4	be	be	AUX
ejpam-6382	307	5	the	the	DET
ejpam-6382	307	6	jth	jth	PROPN
ejpam-6382	307	7	(	(	PUNCT
ejpam-6382	307	8	j	j	PROPN
ejpam-6382	307	9	=	=	SYM
ejpam-6382	307	10	1	1	NUM
ejpam-6382	307	11	,	,	PUNCT
ejpam-6382	307	12	2	2	NUM
ejpam-6382	307	13	,	,	PUNCT
ejpam-6382	307	14	3	3	NUM
ejpam-6382	307	15	,	,	PUNCT
ejpam-6382	307	16	4	4	X
ejpam-6382	307	17	)	)	PUNCT
ejpam-6382	307	18	parameter	parameter	NOUN
ejpam-6382	307	19	of	of	ADP
ejpam-6382	307	20	lbdfw	lbdfw	PROPN
ejpam-6382	307	21	model	model	NOUN
ejpam-6382	307	22	,	,	PUNCT
ejpam-6382	307	23	then	then	ADV
ejpam-6382	307	24	the	the	DET
ejpam-6382	307	25	100(1−	100(1−	NUM
ejpam-6382	307	26	η)%	η)%	NUM
ejpam-6382	307	27	asymptotic	asymptotic	ADJ
ejpam-6382	307	28	confidence	confidence	NOUN
ejpam-6382	307	29	interval	interval	NOUN
ejpam-6382	307	30	of	of	ADP
ejpam-6382	307	31	ξj	ξj	NOUN
ejpam-6382	307	32	is	be	AUX
ejpam-6382	307	33	given	give	VERB
ejpam-6382	307	34	by	by	ADP
ejpam-6382	307	35	(	(	PUNCT
ejpam-6382	307	36	ξ̂j	ξ̂j	NUM
ejpam-6382	307	37	−	−	PROPN
ejpam-6382	307	38	z	z	PROPN
ejpam-6382	307	39	η	η	PROPN
ejpam-6382	307	40	2	2	NUM
ejpam-6382	307	41	√	√	NUM
ejpam-6382	307	42	ij	ij	NOUN
ejpam-6382	307	43	,	,	PUNCT
ejpam-6382	307	44	j	j	PROPN
ejpam-6382	307	45	,	,	PUNCT
ejpam-6382	307	46	ξ̂j	ξ̂j	NUM
ejpam-6382	308	1	+	+	CCONJ
ejpam-6382	308	2	z	z	PROPN
ejpam-6382	308	3	η	η	PROPN
ejpam-6382	308	4	2	2	NUM
ejpam-6382	308	5	√	√	NUM
ejpam-6382	308	6	ij	ij	NOUN
ejpam-6382	308	7	,	,	PUNCT
ejpam-6382	308	8	j	j	PROPN
ejpam-6382	308	9	)	)	PUNCT
ejpam-6382	308	10	,	,	PUNCT
ejpam-6382	308	11	where	where	SCONJ
ejpam-6382	308	12	ij	ij	NOUN
ejpam-6382	308	13	,	,	PUNCT
ejpam-6382	308	14	j	j	PROPN
ejpam-6382	308	15	is	be	AUX
ejpam-6382	308	16	the	the	DET
ejpam-6382	308	17	jth	jth	PROPN
ejpam-6382	308	18	diagonal	diagonal	ADJ
ejpam-6382	308	19	element	element	NOUN
ejpam-6382	308	20	of	of	ADP
ejpam-6382	308	21	i−1(ξ̂	i−1(ξ̂	NOUN
ejpam-6382	308	22	)	)	PUNCT
ejpam-6382	308	23	,	,	PUNCT
ejpam-6382	308	24	for	for	ADP
ejpam-6382	308	25	j	j	PROPN
ejpam-6382	308	26	=	=	SYM
ejpam-6382	308	27	1	1	NUM
ejpam-6382	308	28	,	,	PUNCT
ejpam-6382	308	29	2	2	NUM
ejpam-6382	308	30	,	,	PUNCT
ejpam-6382	308	31	3	3	NUM
ejpam-6382	308	32	,	,	PUNCT
ejpam-6382	308	33	4	4	NUM
ejpam-6382	308	34	and	and	CCONJ
ejpam-6382	308	35	z	z	PROPN
ejpam-6382	308	36	η	η	PROPN
ejpam-6382	308	37	2	2	PROPN
ejpam-6382	308	38	is	be	AUX
ejpam-6382	308	39	the	the	DET
ejpam-6382	308	40	upper	upper	ADJ
ejpam-6382	308	41	η	η	PROPN
ejpam-6382	308	42	2	2	NUM
ejpam-6382	308	43	point	point	NOUN
ejpam-6382	308	44	of	of	ADP
ejpam-6382	308	45	standard	standard	ADJ
ejpam-6382	308	46	normal	normal	ADJ
ejpam-6382	308	47	distribution	distribution	NOUN
ejpam-6382	308	48	.	.	PUNCT
ejpam-6382	309	1	6	6	X
ejpam-6382	309	2	.	.	X
ejpam-6382	309	3	monte	monte	PROPN
ejpam-6382	309	4	carlo	carlo	PROPN
ejpam-6382	309	5	simulation	simulation	PROPN
ejpam-6382	309	6	study	study	PROPN
ejpam-6382	309	7	of	of	ADP
ejpam-6382	309	8	estimator	estimator	NOUN
ejpam-6382	309	9	properties	property	NOUN
ejpam-6382	309	10	to	to	PART
ejpam-6382	309	11	assess	assess	VERB
ejpam-6382	309	12	the	the	DET
ejpam-6382	309	13	performance	performance	NOUN
ejpam-6382	309	14	and	and	CCONJ
ejpam-6382	309	15	reliability	reliability	NOUN
ejpam-6382	309	16	of	of	ADP
ejpam-6382	309	17	the	the	DET
ejpam-6382	309	18	maximum	maximum	ADJ
ejpam-6382	309	19	likelihood	likelihood	NOUN
ejpam-6382	309	20	estimators	estimator	NOUN
ejpam-6382	309	21	(	(	PUNCT
ejpam-6382	309	22	mles	mle	NOUN
ejpam-6382	309	23	)	)	PUNCT
ejpam-6382	309	24	for	for	ADP
ejpam-6382	309	25	the	the	DET
ejpam-6382	309	26	parameters	parameter	NOUN
ejpam-6382	309	27	of	of	ADP
ejpam-6382	309	28	the	the	DET
ejpam-6382	309	29	lbdfw	lbdfw	ADJ
ejpam-6382	309	30	distribution	distribution	NOUN
ejpam-6382	309	31	,	,	PUNCT
ejpam-6382	309	32	a	a	DET
ejpam-6382	309	33	comprehensive	comprehensive	ADJ
ejpam-6382	309	34	simulation	simulation	NOUN
ejpam-6382	309	35	study	study	NOUN
ejpam-6382	309	36	is	be	AUX
ejpam-6382	309	37	conducted	conduct	VERB
ejpam-6382	309	38	.	.	PUNCT
ejpam-6382	310	1	this	this	DET
ejpam-6382	310	2	study	study	NOUN
ejpam-6382	310	3	is	be	AUX
ejpam-6382	310	4	designed	design	VERB
ejpam-6382	310	5	to	to	PART
ejpam-6382	310	6	evaluate	evaluate	VERB
ejpam-6382	310	7	how	how	SCONJ
ejpam-6382	310	8	well	well	ADV
ejpam-6382	310	9	the	the	DET
ejpam-6382	310	10	mles	mle	NOUN
ejpam-6382	310	11	perform	perform	VERB
ejpam-6382	310	12	under	under	ADP
ejpam-6382	310	13	varying	vary	VERB
ejpam-6382	310	14	sample	sample	NOUN
ejpam-6382	310	15	sizes	size	NOUN
ejpam-6382	310	16	and	and	CCONJ
ejpam-6382	310	17	parameter	parameter	NOUN
ejpam-6382	310	18	configurations	configuration	NOUN
ejpam-6382	310	19	.	.	PUNCT
ejpam-6382	311	1	the	the	DET
ejpam-6382	311	2	fitdistr	fitdistr	PROPN
ejpam-6382	311	3	function	function	NOUN
ejpam-6382	311	4	from	from	ADP
ejpam-6382	311	5	the	the	DET
ejpam-6382	311	6	statistical	statistical	ADJ
ejpam-6382	311	7	software	software	NOUN
ejpam-6382	311	8	r	r	NOUN
ejpam-6382	311	9	is	be	AUX
ejpam-6382	311	10	utilized	utilize	VERB
ejpam-6382	311	11	for	for	ADP
ejpam-6382	311	12	this	this	DET
ejpam-6382	311	13	purpose	purpose	NOUN
ejpam-6382	311	14	,	,	PUNCT
ejpam-6382	311	15	allowing	allow	VERB
ejpam-6382	311	16	for	for	ADP
ejpam-6382	311	17	efficient	efficient	ADJ
ejpam-6382	311	18	numerical	numerical	ADJ
ejpam-6382	311	19	estimation	estimation	NOUN
ejpam-6382	311	20	of	of	ADP
ejpam-6382	311	21	parameters	parameter	NOUN
ejpam-6382	311	22	through	through	ADP
ejpam-6382	311	23	optimization	optimization	NOUN
ejpam-6382	311	24	routines	routine	NOUN
ejpam-6382	311	25	that	that	PRON
ejpam-6382	311	26	maximize	maximize	VERB
ejpam-6382	311	27	the	the	DET
ejpam-6382	311	28	log	log	NOUN
ejpam-6382	311	29	-	-	PUNCT
ejpam-6382	311	30	likelihood	likelihood	NOUN
ejpam-6382	311	31	function	function	NOUN
ejpam-6382	311	32	.	.	PUNCT
ejpam-6382	312	1	the	the	DET
ejpam-6382	312	2	mles	mle	NOUN
ejpam-6382	312	3	are	be	AUX
ejpam-6382	312	4	particularly	particularly	ADV
ejpam-6382	312	5	useful	useful	ADJ
ejpam-6382	312	6	in	in	ADP
ejpam-6382	312	7	frequentist	frequentist	NOUN
ejpam-6382	312	8	inference	inference	NOUN
ejpam-6382	312	9	but	but	CCONJ
ejpam-6382	312	10	also	also	ADV
ejpam-6382	312	11	serve	serve	VERB
ejpam-6382	312	12	as	as	ADP
ejpam-6382	312	13	critical	critical	ADJ
ejpam-6382	312	14	components	component	NOUN
ejpam-6382	312	15	in	in	ADP
ejpam-6382	312	16	initializing	initialize	VERB
ejpam-6382	312	17	markov	markov	NOUN
ejpam-6382	312	18	chain	chain	NOUN
ejpam-6382	312	19	monte	monte	PROPN
ejpam-6382	312	20	carlo	carlo	PROPN
ejpam-6382	312	21	(	(	PUNCT
ejpam-6382	312	22	mcmc	mcmc	PROPN
ejpam-6382	312	23	)	)	PUNCT
ejpam-6382	312	24	algorithms	algorithm	NOUN
ejpam-6382	312	25	.	.	PUNCT
ejpam-6382	313	1	in	in	ADP
ejpam-6382	313	2	this	this	DET
ejpam-6382	313	3	simulation	simulation	NOUN
ejpam-6382	313	4	framework	framework	NOUN
ejpam-6382	313	5	,	,	PUNCT
ejpam-6382	313	6	1000	1000	NUM
ejpam-6382	313	7	independent	independent	ADJ
ejpam-6382	313	8	random	random	ADJ
ejpam-6382	313	9	samples	sample	NOUN
ejpam-6382	313	10	are	be	AUX
ejpam-6382	313	11	generated	generate	VERB
ejpam-6382	313	12	from	from	ADP
ejpam-6382	313	13	the	the	DET
ejpam-6382	313	14	lbdfw	lbdfw	ADJ
ejpam-6382	313	15	distribution	distribution	NOUN
ejpam-6382	313	16	for	for	ADP
ejpam-6382	313	17	each	each	PRON
ejpam-6382	313	18	of	of	ADP
ejpam-6382	313	19	the	the	DET
ejpam-6382	313	20	sample	sample	NOUN
ejpam-6382	313	21	sizes	size	NOUN
ejpam-6382	313	22	n	n	PROPN
ejpam-6382	313	23	=	=	SYM
ejpam-6382	313	24	50	50	NUM
ejpam-6382	313	25	,	,	PUNCT
ejpam-6382	313	26	100	100	NUM
ejpam-6382	313	27	,	,	PUNCT
ejpam-6382	313	28	150	150	NUM
ejpam-6382	313	29	,	,	PUNCT
ejpam-6382	313	30	and	and	CCONJ
ejpam-6382	313	31	200	200	NUM
ejpam-6382	313	32	.	.	PUNCT
ejpam-6382	314	1	the	the	DET
ejpam-6382	314	2	simulations	simulation	NOUN
ejpam-6382	314	3	are	be	AUX
ejpam-6382	314	4	performed	perform	VERB
ejpam-6382	314	5	under	under	ADP
ejpam-6382	314	6	two	two	NUM
ejpam-6382	314	7	different	different	ADJ
ejpam-6382	314	8	combinations	combination	NOUN
ejpam-6382	314	9	of	of	ADP
ejpam-6382	314	10	true	true	ADJ
ejpam-6382	314	11	parameter	parameter	NOUN
ejpam-6382	314	12	values	value	NOUN
ejpam-6382	314	13	,	,	PUNCT
ejpam-6382	314	14	selected	select	VERB
ejpam-6382	314	15	to	to	PART
ejpam-6382	314	16	represent	represent	VERB
ejpam-6382	314	17	distinct	distinct	ADJ
ejpam-6382	314	18	shapes	shape	NOUN
ejpam-6382	314	19	and	and	CCONJ
ejpam-6382	314	20	scaling	scale	VERB
ejpam-6382	314	21	behaviors	behavior	NOUN
ejpam-6382	314	22	of	of	ADP
ejpam-6382	314	23	the	the	DET
ejpam-6382	314	24	lbdfw	lbdfw	ADJ
ejpam-6382	314	25	model	model	NOUN
ejpam-6382	314	26	:	:	PUNCT
ejpam-6382	314	27	(	(	PUNCT
ejpam-6382	314	28	i	i	NOUN
ejpam-6382	314	29	)	)	PUNCT
ejpam-6382	314	30	scheme	scheme	NOUN
ejpam-6382	315	1	i	i	PRON
ejpam-6382	315	2	:	:	PUNCT
ejpam-6382	315	3	α	α	NOUN
ejpam-6382	315	4	=	=	SYM
ejpam-6382	315	5	0.5	0.5	NUM
ejpam-6382	315	6	,	,	PUNCT
ejpam-6382	315	7	β	β	X
ejpam-6382	315	8	=	=	SYM
ejpam-6382	315	9	0.7	0.7	NUM
ejpam-6382	315	10	,	,	PUNCT
ejpam-6382	315	11	m	m	VERB
ejpam-6382	315	12	=	=	NOUN
ejpam-6382	315	13	2.0	2.0	NUM
ejpam-6382	315	14	,	,	PUNCT
ejpam-6382	315	15	k	k	NOUN
ejpam-6382	315	16	=	=	PUNCT
ejpam-6382	315	17	0.8	0.8	NUM
ejpam-6382	315	18	,	,	PUNCT
ejpam-6382	315	19	(	(	PUNCT
ejpam-6382	315	20	ii	ii	NOUN
ejpam-6382	315	21	)	)	PUNCT
ejpam-6382	315	22	scheme	scheme	PROPN
ejpam-6382	315	23	ii	ii	PROPN
ejpam-6382	315	24	:	:	PUNCT
ejpam-6382	315	25	α	α	X
ejpam-6382	315	26	=	=	SYM
ejpam-6382	315	27	1.5	1.5	NUM
ejpam-6382	315	28	,	,	PUNCT
ejpam-6382	315	29	β	β	X
ejpam-6382	315	30	=	=	SYM
ejpam-6382	315	31	5.5	5.5	NUM
ejpam-6382	315	32	,	,	PUNCT
ejpam-6382	315	33	m	m	VERB
ejpam-6382	315	34	=	=	NOUN
ejpam-6382	315	35	2.2	2.2	NUM
ejpam-6382	315	36	,	,	PUNCT
ejpam-6382	315	37	k	k	PROPN
ejpam-6382	315	38	=	=	PUNCT
ejpam-6382	315	39	0.4	0.4	NUM
ejpam-6382	315	40	.	.	PUNCT
ejpam-6382	316	1	for	for	ADP
ejpam-6382	316	2	each	each	DET
ejpam-6382	316	3	simulated	simulate	VERB
ejpam-6382	316	4	dataset	dataset	NOUN
ejpam-6382	316	5	,	,	PUNCT
ejpam-6382	316	6	the	the	DET
ejpam-6382	316	7	mles	mle	NOUN
ejpam-6382	316	8	of	of	ADP
ejpam-6382	316	9	the	the	DET
ejpam-6382	316	10	parameters	parameter	NOUN
ejpam-6382	316	11	α	α	NOUN
ejpam-6382	316	12	,	,	PUNCT
ejpam-6382	316	13	β	β	X
ejpam-6382	316	14	,	,	PUNCT
ejpam-6382	316	15	m	m	PROPN
ejpam-6382	316	16	,	,	PUNCT
ejpam-6382	316	17	and	and	CCONJ
ejpam-6382	316	18	k	k	PROPN
ejpam-6382	316	19	are	be	AUX
ejpam-6382	316	20	computed	compute	VERB
ejpam-6382	316	21	.	.	PUNCT
ejpam-6382	317	1	the	the	DET
ejpam-6382	317	2	performance	performance	NOUN
ejpam-6382	317	3	of	of	ADP
ejpam-6382	317	4	these	these	DET
ejpam-6382	317	5	estimators	estimator	NOUN
ejpam-6382	317	6	is	be	AUX
ejpam-6382	317	7	evaluated	evaluate	VERB
ejpam-6382	317	8	using	use	VERB
ejpam-6382	317	9	two	two	NUM
ejpam-6382	317	10	statistical	statistical	ADJ
ejpam-6382	317	11	measures	measure	NOUN
ejpam-6382	317	12	.	.	PUNCT
ejpam-6382	318	1	the	the	DET
ejpam-6382	318	2	first	first	ADJ
ejpam-6382	318	3	is	be	AUX
ejpam-6382	318	4	the	the	DET
ejpam-6382	318	5	empirical	empirical	ADJ
ejpam-6382	318	6	bias	bias	NOUN
ejpam-6382	318	7	,	,	PUNCT
ejpam-6382	318	8	which	which	PRON
ejpam-6382	318	9	quantifies	quantify	VERB
ejpam-6382	318	10	the	the	DET
ejpam-6382	318	11	average	average	ADJ
ejpam-6382	318	12	deviation	deviation	NOUN
ejpam-6382	318	13	of	of	ADP
ejpam-6382	318	14	the	the	DET
ejpam-6382	318	15	estimated	estimate	VERB
ejpam-6382	318	16	parameter	parameter	NOUN
ejpam-6382	318	17	from	from	ADP
ejpam-6382	318	18	its	its	PRON
ejpam-6382	318	19	true	true	ADJ
ejpam-6382	318	20	value	value	NOUN
ejpam-6382	318	21	across	across	ADP
ejpam-6382	318	22	the	the	DET
ejpam-6382	318	23	replications	replication	NOUN
ejpam-6382	318	24	.	.	PUNCT
ejpam-6382	319	1	the	the	DET
ejpam-6382	319	2	second	second	ADJ
ejpam-6382	319	3	measure	measure	NOUN
ejpam-6382	319	4	is	be	AUX
ejpam-6382	319	5	the	the	DET
ejpam-6382	319	6	mean	mean	ADJ
ejpam-6382	319	7	squared	square	VERB
ejpam-6382	319	8	error	error	NOUN
ejpam-6382	319	9	(	(	PUNCT
ejpam-6382	319	10	mse	mse	NOUN
ejpam-6382	319	11	)	)	PUNCT
ejpam-6382	319	12	,	,	PUNCT
ejpam-6382	319	13	which	which	PRON
ejpam-6382	319	14	incorporates	incorporate	VERB
ejpam-6382	319	15	both	both	DET
ejpam-6382	319	16	the	the	DET
ejpam-6382	319	17	variance	variance	NOUN
ejpam-6382	319	18	of	of	ADP
ejpam-6382	319	19	the	the	DET
ejpam-6382	319	20	estimator	estimator	NOUN
ejpam-6382	319	21	and	and	CCONJ
ejpam-6382	319	22	the	the	DET
ejpam-6382	319	23	square	square	NOUN
ejpam-6382	319	24	of	of	ADP
ejpam-6382	319	25	its	its	PRON
ejpam-6382	319	26	bias	bias	NOUN
ejpam-6382	319	27	,	,	PUNCT
ejpam-6382	319	28	providing	provide	VERB
ejpam-6382	319	29	a	a	DET
ejpam-6382	319	30	comprehensive	comprehensive	ADJ
ejpam-6382	319	31	metric	metric	NOUN
ejpam-6382	319	32	to	to	PART
ejpam-6382	319	33	assess	assess	VERB
ejpam-6382	319	34	the	the	DET
ejpam-6382	319	35	accuracy	accuracy	NOUN
ejpam-6382	319	36	and	and	CCONJ
ejpam-6382	319	37	reliability	reliability	NOUN
ejpam-6382	319	38	of	of	ADP
ejpam-6382	319	39	the	the	DET
ejpam-6382	319	40	estimators	estimator	NOUN
ejpam-6382	319	41	.	.	PUNCT
ejpam-6382	320	1	these	these	DET
ejpam-6382	320	2	metrics	metric	NOUN
ejpam-6382	320	3	are	be	AUX
ejpam-6382	320	4	computed	compute	VERB
ejpam-6382	320	5	across	across	ADP
ejpam-6382	320	6	the	the	DET
ejpam-6382	320	7	1000	1000	NUM
ejpam-6382	320	8	replications	replication	NOUN
ejpam-6382	320	9	using	use	VERB
ejpam-6382	320	10	the	the	DET
ejpam-6382	320	11	following	follow	VERB
ejpam-6382	320	12	formulas	formula	NOUN
ejpam-6382	320	13	:	:	PUNCT
ejpam-6382	320	14	bias(θ	bias(θ	NOUN
ejpam-6382	320	15	)	)	PUNCT
ejpam-6382	320	16	=	=	SYM
ejpam-6382	321	1	1	1	NUM
ejpam-6382	321	2	1000	1000	NUM
ejpam-6382	321	3	1000∑	1000∑	NUM
ejpam-6382	321	4	s=1	s=1	X
ejpam-6382	321	5	(	(	PUNCT
ejpam-6382	321	6	θ̂s	θ̂s	NOUN
ejpam-6382	321	7	−	−	PROPN
ejpam-6382	321	8	θ	θ	NOUN
ejpam-6382	321	9	)	)	PUNCT
ejpam-6382	321	10	,	,	PUNCT
ejpam-6382	321	11	mse(θ	mse(θ	ADV
ejpam-6382	321	12	)	)	PUNCT
ejpam-6382	321	13	=	=	SYM
ejpam-6382	321	14	1	1	NUM
ejpam-6382	321	15	1000	1000	NUM
ejpam-6382	321	16	1000∑	1000∑	NUM
ejpam-6382	322	1	s=1	s=1	X
ejpam-6382	322	2	(	(	PUNCT
ejpam-6382	322	3	θ̂s	θ̂s	NOUN
ejpam-6382	322	4	−	−	PRON
ejpam-6382	322	5	θ)2	θ)2	NOUN
ejpam-6382	322	6	,	,	PUNCT
ejpam-6382	322	7	where	where	SCONJ
ejpam-6382	322	8	θ̂s	θ̂s	PROPN
ejpam-6382	322	9	denotes	denote	VERB
ejpam-6382	322	10	the	the	DET
ejpam-6382	322	11	estimate	estimate	NOUN
ejpam-6382	322	12	of	of	ADP
ejpam-6382	322	13	the	the	DET
ejpam-6382	322	14	parameter	parameter	NOUN
ejpam-6382	322	15	θ	θ	PROPN
ejpam-6382	322	16	from	from	ADP
ejpam-6382	322	17	the	the	DET
ejpam-6382	322	18	s	s	PROPN
ejpam-6382	322	19	-	-	PUNCT
ejpam-6382	322	20	th	th	VERB
ejpam-6382	322	21	sample	sample	NOUN
ejpam-6382	322	22	.	.	PUNCT
ejpam-6382	323	1	beyond	beyond	ADP
ejpam-6382	323	2	the	the	DET
ejpam-6382	323	3	classical	classical	ADJ
ejpam-6382	323	4	evaluation	evaluation	NOUN
ejpam-6382	323	5	using	use	VERB
ejpam-6382	323	6	mle	mle	NOUN
ejpam-6382	323	7	,	,	PUNCT
ejpam-6382	323	8	the	the	DET
ejpam-6382	323	9	results	result	NOUN
ejpam-6382	323	10	offer	offer	VERB
ejpam-6382	323	11	valuable	valuable	ADJ
ejpam-6382	323	12	insights	insight	NOUN
ejpam-6382	323	13	for	for	ADP
ejpam-6382	323	14	broader	broad	ADJ
ejpam-6382	323	15	estimation	estimation	NOUN
ejpam-6382	323	16	frameworks	framework	NOUN
ejpam-6382	323	17	.	.	PUNCT
ejpam-6382	324	1	the	the	DET
ejpam-6382	324	2	mles	mle	NOUN
ejpam-6382	324	3	derived	derive	VERB
ejpam-6382	324	4	in	in	ADP
ejpam-6382	324	5	this	this	DET
ejpam-6382	324	6	study	study	NOUN
ejpam-6382	324	7	can	can	AUX
ejpam-6382	324	8	serve	serve	VERB
ejpam-6382	324	9	as	as	ADP
ejpam-6382	324	10	effective	effective	ADJ
ejpam-6382	324	11	initial	initial	ADJ
ejpam-6382	324	12	values	value	NOUN
ejpam-6382	324	13	in	in	ADP
ejpam-6382	324	14	iterative	iterative	ADJ
ejpam-6382	324	15	algorithms	algorithm	NOUN
ejpam-6382	324	16	,	,	PUNCT
ejpam-6382	324	17	thereby	thereby	ADV
ejpam-6382	324	18	improving	improve	VERB
ejpam-6382	324	19	convergence	convergence	NOUN
ejpam-6382	324	20	and	and	CCONJ
ejpam-6382	324	21	computational	computational	ADJ
ejpam-6382	324	22	efficiency	efficiency	NOUN
ejpam-6382	324	23	particularly	particularly	ADV
ejpam-6382	324	24	in	in	ADP
ejpam-6382	324	25	scenarios	scenario	NOUN
ejpam-6382	324	26	involving	involve	VERB
ejpam-6382	324	27	complex	complex	ADJ
ejpam-6382	324	28	or	or	CCONJ
ejpam-6382	324	29	multi	multi	ADJ
ejpam-6382	324	30	-	-	ADJ
ejpam-6382	324	31	modal	modal	ADJ
ejpam-6382	324	32	parameter	parameter	NOUN
ejpam-6382	324	33	spaces	space	VERB
ejpam-6382	324	34	.	.	PUNCT
ejpam-6382	325	1	a	a	DET
ejpam-6382	325	2	summary	summary	NOUN
ejpam-6382	325	3	of	of	ADP
ejpam-6382	325	4	the	the	DET
ejpam-6382	325	5	simulation	simulation	NOUN
ejpam-6382	325	6	outcomes	outcome	NOUN
ejpam-6382	325	7	,	,	PUNCT
ejpam-6382	325	8	including	include	VERB
ejpam-6382	325	9	average	average	ADJ
ejpam-6382	325	10	estimates	estimate	NOUN
ejpam-6382	325	11	,	,	PUNCT
ejpam-6382	325	12	empirical	empirical	ADJ
ejpam-6382	325	13	biases	bias	NOUN
ejpam-6382	325	14	,	,	PUNCT
ejpam-6382	325	15	and	and	CCONJ
ejpam-6382	325	16	mean	mean	VERB
ejpam-6382	325	17	squared	square	VERB
ejpam-6382	325	18	errors	error	NOUN
ejpam-6382	325	19	(	(	PUNCT
ejpam-6382	325	20	mses	ms	NOUN
ejpam-6382	325	21	)	)	PUNCT
ejpam-6382	325	22	for	for	ADP
ejpam-6382	325	23	each	each	DET
ejpam-6382	325	24	parameter	parameter	NOUN
ejpam-6382	325	25	under	under	ADP
ejpam-6382	325	26	the	the	DET
ejpam-6382	325	27	two	two	NUM
ejpam-6382	325	28	specified	specified	ADJ
ejpam-6382	325	29	scenarios	scenario	NOUN
ejpam-6382	325	30	,	,	PUNCT
ejpam-6382	325	31	is	be	AUX
ejpam-6382	325	32	provided	provide	VERB
ejpam-6382	325	33	in	in	ADP
ejpam-6382	325	34	table	table	NOUN
ejpam-6382	325	35	2	2	NUM
ejpam-6382	325	36	.	.	PUNCT
ejpam-6382	326	1	d.	d.	PROPN
ejpam-6382	326	2	das	das	PROPN
ejpam-6382	326	3	et	et	PROPN
ejpam-6382	326	4	al	al	PROPN
ejpam-6382	326	5	.	.	PUNCT
ejpam-6382	326	6	/	/	SYM
ejpam-6382	326	7	eur	eur	PROPN
ejpam-6382	326	8	.	.	PUNCT
ejpam-6382	327	1	j.	j.	PROPN
ejpam-6382	327	2	pure	pure	PROPN
ejpam-6382	327	3	appl	appl	PROPN
ejpam-6382	327	4	.	.	PROPN
ejpam-6382	327	5	math	math	PROPN
ejpam-6382	327	6	,	,	PUNCT
ejpam-6382	327	7	18	18	NUM
ejpam-6382	327	8	(	(	PUNCT
ejpam-6382	327	9	3	3	NUM
ejpam-6382	327	10	)	)	PUNCT
ejpam-6382	327	11	(	(	PUNCT
ejpam-6382	327	12	2025	2025	NUM
ejpam-6382	327	13	)	)	PUNCT
ejpam-6382	327	14	,	,	PUNCT
ejpam-6382	327	15	6382	6382	NUM
ejpam-6382	327	16	18	18	NUM
ejpam-6382	327	17	of	of	ADP
ejpam-6382	327	18	29	29	NUM
ejpam-6382	327	19	table	table	NOUN
ejpam-6382	327	20	2	2	NUM
ejpam-6382	327	21	:	:	PUNCT
ejpam-6382	327	22	the	the	DET
ejpam-6382	327	23	average	average	ADJ
ejpam-6382	327	24	estimate	estimate	NOUN
ejpam-6382	327	25	,	,	PUNCT
ejpam-6382	327	26	biases	bias	NOUN
ejpam-6382	327	27	,	,	PUNCT
ejpam-6382	327	28	and	and	CCONJ
ejpam-6382	327	29	mses	ms	NOUN
ejpam-6382	327	30	for	for	ADP
ejpam-6382	327	31	case	case	NOUN
ejpam-6382	327	32	i	i	PRON
ejpam-6382	327	33	and	and	CCONJ
ejpam-6382	327	34	case	case	PROPN
ejpam-6382	327	35	ii	ii	PROPN
ejpam-6382	327	36	.	.	PUNCT
ejpam-6382	328	1	scheme	scheme	NOUN
ejpam-6382	328	2	i	i	PRON
ejpam-6382	328	3	scheme	scheme	VERB
ejpam-6382	328	4	ii	ii	PROPN
ejpam-6382	328	5	α=0.5	α=0.5	NOUN
ejpam-6382	328	6	,	,	PUNCT
ejpam-6382	328	7	β=0.7	β=0.7	ADJ
ejpam-6382	328	8	,	,	PUNCT
ejpam-6382	328	9	m=2.0	m=2.0	PROPN
ejpam-6382	328	10	,	,	PUNCT
ejpam-6382	328	11	k=0.8	k=0.8	ADJ
ejpam-6382	328	12	α=1.5	α=1.5	NOUN
ejpam-6382	328	13	,	,	PUNCT
ejpam-6382	328	14	β=5.5	β=5.5	NOUN
ejpam-6382	328	15	,	,	PUNCT
ejpam-6382	328	16	m=2.2	m=2.2	NOUN
ejpam-6382	328	17	,	,	PUNCT
ejpam-6382	328	18	k=0.4	k=0.4	NOUN
ejpam-6382	328	19	n	n	PRON
ejpam-6382	328	20	α̂	α̂	NUM
ejpam-6382	328	21	β̂	β̂	ADP
ejpam-6382	328	22	m̂	m̂	PROPN
ejpam-6382	328	23	k̂	k̂	PROPN
ejpam-6382	328	24	α̂	α̂	NUM
ejpam-6382	328	25	β̂	β̂	ADP
ejpam-6382	328	26	m̂	m̂	PROPN
ejpam-6382	328	27	k̂	k̂	PROPN
ejpam-6382	328	28	avg	avg	PROPN
ejpam-6382	328	29	est	est	PROPN
ejpam-6382	328	30	50	50	NUM
ejpam-6382	328	31	0.5405	0.5405	NUM
ejpam-6382	328	32	0.8079	0.8079	NUM
ejpam-6382	328	33	1.8494	1.8494	NUM
ejpam-6382	328	34	0.6358	0.6358	NUM
ejpam-6382	328	35	1.9521	1.9521	NUM
ejpam-6382	328	36	5.5807	5.5807	NUM
ejpam-6382	328	37	2.5181	2.5181	NUM
ejpam-6382	328	38	0.6212	0.6212	NUM
ejpam-6382	328	39	100	100	NUM
ejpam-6382	328	40	0.5142	0.5142	NUM
ejpam-6382	328	41	0.7865	0.7865	NUM
ejpam-6382	328	42	2.5233	2.5233	NUM
ejpam-6382	328	43	1.6214	1.6214	NUM
ejpam-6382	328	44	1.9055	1.9055	NUM
ejpam-6382	328	45	5.5302	5.5302	NUM
ejpam-6382	328	46	2.4117	2.4117	NUM
ejpam-6382	328	47	0.5327	0.5327	NUM
ejpam-6382	328	48	150	150	NUM
ejpam-6382	328	49	0.5077	0.5077	NUM
ejpam-6382	328	50	0.7571	0.7571	NUM
ejpam-6382	328	51	2.3217	2.3217	NUM
ejpam-6382	328	52	1.3322	1.3322	NUM
ejpam-6382	328	53	1.8553	1.8553	NUM
ejpam-6382	328	54	5.5211	5.5211	NUM
ejpam-6382	328	55	2.3005	2.3005	NUM
ejpam-6382	328	56	0.5074	0.5074	NUM
ejpam-6382	328	57	200	200	NUM
ejpam-6382	328	58	0.5042	0.5042	NUM
ejpam-6382	328	59	0.7145	0.7145	NUM
ejpam-6382	328	60	2.0727	2.0727	NUM
ejpam-6382	328	61	0.9041	0.9041	NUM
ejpam-6382	328	62	1.8102	1.8102	NUM
ejpam-6382	328	63	5.5007	5.5007	NUM
ejpam-6382	328	64	2.2017	2.2017	NUM
ejpam-6382	328	65	0.4424	0.4424	NUM
ejpam-6382	328	66	bias	bias	NOUN
ejpam-6382	328	67	50	50	NUM
ejpam-6382	328	68	0.0404	0.0404	NUM
ejpam-6382	328	69	0.1079	0.1079	NUM
ejpam-6382	328	70	-0.1506	-0.1506	NOUN
ejpam-6382	328	71	-0.1642	-0.1642	VERB
ejpam-6382	328	72	0.1521	0.1521	NUM
ejpam-6382	328	73	0.0807	0.0807	NUM
ejpam-6382	328	74	0.3181	0.3181	NUM
ejpam-6382	328	75	0.2212	0.2212	NUM
ejpam-6382	328	76	100	100	NUM
ejpam-6382	328	77	0.0142	0.0142	NUM
ejpam-6382	328	78	0.0865	0.0865	NUM
ejpam-6382	328	79	0.5233	0.5233	NUM
ejpam-6382	328	80	0.8214	0.8214	NUM
ejpam-6382	328	81	0.1055	0.1055	NUM
ejpam-6382	328	82	0.0302	0.0302	NUM
ejpam-6382	328	83	0.2117	0.2117	NUM
ejpam-6382	328	84	0.1327	0.1327	NUM
ejpam-6382	328	85	150	150	NUM
ejpam-6382	328	86	0.0077	0.0077	NUM
ejpam-6382	328	87	0.0571	0.0571	NUM
ejpam-6382	328	88	0.3217	0.3217	NUM
ejpam-6382	328	89	0.5322	0.5322	NUM
ejpam-6382	328	90	0.0553	0.0553	NUM
ejpam-6382	328	91	0.0211	0.0211	NUM
ejpam-6382	328	92	0.1005	0.1005	NUM
ejpam-6382	328	93	0.1074	0.1074	NUM
ejpam-6382	328	94	200	200	NUM
ejpam-6382	328	95	0.0043	0.0043	NUM
ejpam-6382	328	96	0.0145	0.0145	NUM
ejpam-6382	328	97	0.0727	0.0727	NUM
ejpam-6382	328	98	0.1041	0.1041	NUM
ejpam-6382	328	99	0.0102	0.0102	NUM
ejpam-6382	328	100	0.0007	0.0007	NUM
ejpam-6382	328	101	0.0017	0.0017	NUM
ejpam-6382	328	102	0.0424	0.0424	NUM
ejpam-6382	328	103	mse	mse	NOUN
ejpam-6382	328	104	50	50	NUM
ejpam-6382	328	105	0.0361	0.0361	NUM
ejpam-6382	328	106	0.2347	0.2347	NUM
ejpam-6382	328	107	0.0495	0.0495	NUM
ejpam-6382	328	108	0.0293	0.0293	NUM
ejpam-6382	328	109	0.4127	0.4127	NUM
ejpam-6382	328	110	0.5138	0.5138	NUM
ejpam-6382	328	111	0.0419	0.0419	NUM
ejpam-6382	328	112	0.1338	0.1338	NUM
ejpam-6382	328	113	100	100	NUM
ejpam-6382	328	114	0.0278	0.0278	NUM
ejpam-6382	328	115	0.1229	0.1229	NUM
ejpam-6382	328	116	0.0197	0.0197	NUM
ejpam-6382	328	117	0.0149	0.0149	NUM
ejpam-6382	328	118	0.2341	0.2341	NUM
ejpam-6382	328	119	0.3346	0.3346	NUM
ejpam-6382	328	120	0.0316	0.0316	NUM
ejpam-6382	328	121	0.0726	0.0726	NUM
ejpam-6382	328	122	150	150	NUM
ejpam-6382	328	123	0.0204	0.0204	NUM
ejpam-6382	328	124	0.0527	0.0527	NUM
ejpam-6382	328	125	0.0111	0.0111	NUM
ejpam-6382	328	126	0.0672	0.0672	NUM
ejpam-6382	328	127	0.1015	0.1015	NUM
ejpam-6382	328	128	0.1742	0.1742	NUM
ejpam-6382	328	129	0.0214	0.0214	NUM
ejpam-6382	328	130	0.0487	0.0487	NUM
ejpam-6382	328	131	200	200	NUM
ejpam-6382	328	132	0.0142	0.0142	NUM
ejpam-6382	328	133	0.0315	0.0315	NUM
ejpam-6382	328	134	0.0104	0.0104	NUM
ejpam-6382	328	135	0.0218	0.0218	NUM
ejpam-6382	328	136	0.0331	0.0331	NUM
ejpam-6382	328	137	0.1014	0.1014	NUM
ejpam-6382	328	138	0.0056	0.0056	NUM
ejpam-6382	328	139	0.0204	0.0204	NUM
ejpam-6382	328	140	these	these	DET
ejpam-6382	328	141	results	result	NOUN
ejpam-6382	328	142	illustrate	illustrate	VERB
ejpam-6382	328	143	the	the	DET
ejpam-6382	328	144	performance	performance	NOUN
ejpam-6382	328	145	of	of	ADP
ejpam-6382	328	146	the	the	DET
ejpam-6382	328	147	mles	mle	NOUN
ejpam-6382	328	148	as	as	ADP
ejpam-6382	328	149	the	the	DET
ejpam-6382	328	150	sample	sample	NOUN
ejpam-6382	328	151	size	size	NOUN
ejpam-6382	328	152	increases	increase	NOUN
ejpam-6382	328	153	.	.	PUNCT
ejpam-6382	329	1	specifically	specifically	ADV
ejpam-6382	329	2	,	,	PUNCT
ejpam-6382	329	3	as	as	SCONJ
ejpam-6382	329	4	the	the	DET
ejpam-6382	329	5	sample	sample	NOUN
ejpam-6382	329	6	size	size	NOUN
ejpam-6382	329	7	grows	grow	VERB
ejpam-6382	329	8	,	,	PUNCT
ejpam-6382	329	9	the	the	DET
ejpam-6382	329	10	estimators	estimator	NOUN
ejpam-6382	329	11	exhibit	exhibit	VERB
ejpam-6382	329	12	a	a	DET
ejpam-6382	329	13	reduction	reduction	NOUN
ejpam-6382	329	14	in	in	ADP
ejpam-6382	329	15	both	both	DET
ejpam-6382	329	16	bias	bias	NOUN
ejpam-6382	329	17	and	and	CCONJ
ejpam-6382	329	18	mse	mse	NOUN
ejpam-6382	329	19	,	,	PUNCT
ejpam-6382	329	20	indicating	indicate	VERB
ejpam-6382	329	21	a	a	DET
ejpam-6382	329	22	convergence	convergence	NOUN
ejpam-6382	329	23	toward	toward	ADP
ejpam-6382	329	24	the	the	DET
ejpam-6382	329	25	true	true	ADJ
ejpam-6382	329	26	parameter	parameter	NOUN
ejpam-6382	329	27	values	value	NOUN
ejpam-6382	329	28	.	.	PUNCT
ejpam-6382	330	1	this	this	DET
ejpam-6382	330	2	observed	observed	ADJ
ejpam-6382	330	3	trend	trend	NOUN
ejpam-6382	330	4	highlights	highlight	VERB
ejpam-6382	330	5	the	the	DET
ejpam-6382	330	6	consistency	consistency	NOUN
ejpam-6382	330	7	and	and	CCONJ
ejpam-6382	330	8	efficiency	efficiency	NOUN
ejpam-6382	330	9	of	of	ADP
ejpam-6382	330	10	the	the	DET
ejpam-6382	330	11	mles	mle	NOUN
ejpam-6382	330	12	,	,	PUNCT
ejpam-6382	330	13	reinforcing	reinforce	VERB
ejpam-6382	330	14	their	their	PRON
ejpam-6382	330	15	suitability	suitability	NOUN
ejpam-6382	330	16	for	for	ADP
ejpam-6382	330	17	classical	classical	ADJ
ejpam-6382	330	18	statistical	statistical	ADJ
ejpam-6382	330	19	inference	inference	NOUN
ejpam-6382	330	20	.	.	PUNCT
ejpam-6382	331	1	such	such	ADJ
ejpam-6382	331	2	improvements	improvement	NOUN
ejpam-6382	331	3	in	in	ADP
ejpam-6382	331	4	estimator	estimator	NOUN
ejpam-6382	331	5	accuracy	accuracy	NOUN
ejpam-6382	331	6	with	with	ADP
ejpam-6382	331	7	larger	large	ADJ
ejpam-6382	331	8	sample	sample	NOUN
ejpam-6382	331	9	sizes	size	NOUN
ejpam-6382	331	10	underscore	underscore	VERB
ejpam-6382	331	11	the	the	DET
ejpam-6382	331	12	reliability	reliability	NOUN
ejpam-6382	331	13	of	of	ADP
ejpam-6382	331	14	mles	mle	NOUN
ejpam-6382	331	15	in	in	ADP
ejpam-6382	331	16	providing	provide	VERB
ejpam-6382	331	17	precise	precise	ADJ
ejpam-6382	331	18	and	and	CCONJ
ejpam-6382	331	19	unbiased	unbiased	ADJ
ejpam-6382	331	20	parameter	parameter	NOUN
ejpam-6382	331	21	estimates	estimate	NOUN
ejpam-6382	331	22	,	,	PUNCT
ejpam-6382	331	23	which	which	PRON
ejpam-6382	331	24	further	far	ADV
ejpam-6382	331	25	supports	support	VERB
ejpam-6382	331	26	their	their	PRON
ejpam-6382	331	27	application	application	NOUN
ejpam-6382	331	28	in	in	ADP
ejpam-6382	331	29	real	real	ADJ
ejpam-6382	331	30	-	-	PUNCT
ejpam-6382	331	31	world	world	NOUN
ejpam-6382	331	32	data	datum	NOUN
ejpam-6382	331	33	analysis	analysis	NOUN
ejpam-6382	331	34	.	.	PUNCT
ejpam-6382	332	1	7	7	X
ejpam-6382	332	2	.	.	X
ejpam-6382	332	3	analysis	analysis	NOUN
ejpam-6382	332	4	of	of	ADP
ejpam-6382	332	5	fit	fit	NOUN
ejpam-6382	332	6	:	:	PUNCT
ejpam-6382	332	7	evaluating	evaluate	VERB
ejpam-6382	332	8	model	model	NOUN
ejpam-6382	332	9	performance	performance	NOUN
ejpam-6382	332	10	in	in	ADP
ejpam-6382	332	11	this	this	DET
ejpam-6382	332	12	section	section	NOUN
ejpam-6382	332	13	,	,	PUNCT
ejpam-6382	332	14	the	the	DET
ejpam-6382	332	15	proposed	propose	VERB
ejpam-6382	332	16	lbdfwmodel	lbdfwmodel	NOUN
ejpam-6382	332	17	is	be	AUX
ejpam-6382	332	18	applied	apply	VERB
ejpam-6382	332	19	to	to	ADP
ejpam-6382	332	20	two	two	NUM
ejpam-6382	332	21	real	real	ADJ
ejpam-6382	332	22	-	-	PUNCT
ejpam-6382	332	23	world	world	NOUN
ejpam-6382	332	24	count	count	NOUN
ejpam-6382	332	25	datasets	dataset	NOUN
ejpam-6382	332	26	and	and	CCONJ
ejpam-6382	332	27	its	its	PRON
ejpam-6382	332	28	performance	performance	NOUN
ejpam-6382	332	29	is	be	AUX
ejpam-6382	332	30	compared	compare	VERB
ejpam-6382	332	31	against	against	ADP
ejpam-6382	332	32	four	four	NUM
ejpam-6382	332	33	existing	exist	VERB
ejpam-6382	332	34	discrete	discrete	ADJ
ejpam-6382	332	35	distributions	distribution	NOUN
ejpam-6382	332	36	:	:	PUNCT
ejpam-6382	332	37	the	the	DET
ejpam-6382	332	38	discretized	discretized	ADJ
ejpam-6382	332	39	fréchet	fréchet	NOUN
ejpam-6382	332	40	-	-	PUNCT
ejpam-6382	332	41	weibull	weibull	PROPN
ejpam-6382	332	42	(	(	PUNCT
ejpam-6382	332	43	dfw	dfw	PROPN
ejpam-6382	332	44	)	)	PUNCT
ejpam-6382	332	45	model	model	NOUN
ejpam-6382	332	46	introduced	introduce	VERB
ejpam-6382	332	47	by	by	ADP
ejpam-6382	332	48	das	das	PROPN
ejpam-6382	332	49	and	and	CCONJ
ejpam-6382	332	50	das	das	PROPN
ejpam-6382	333	1	[	[	X
ejpam-6382	333	2	12	12	NUM
ejpam-6382	333	3	]	]	PUNCT
ejpam-6382	333	4	,	,	PUNCT
ejpam-6382	333	5	the	the	DET
ejpam-6382	333	6	weighted	weighted	ADJ
ejpam-6382	333	7	fréchetweibull	fréchetweibull	PROPN
ejpam-6382	333	8	(	(	PUNCT
ejpam-6382	333	9	wdfw	wdfw	NOUN
ejpam-6382	333	10	)	)	PUNCT
ejpam-6382	333	11	model	model	NOUN
ejpam-6382	333	12	by	by	ADP
ejpam-6382	333	13	das	das	PROPN
ejpam-6382	333	14	and	and	CCONJ
ejpam-6382	333	15	das	das	PROPN
ejpam-6382	334	1	[	[	PUNCT
ejpam-6382	334	2	16	16	NUM
ejpam-6382	334	3	]	]	PUNCT
ejpam-6382	334	4	,	,	PUNCT
ejpam-6382	334	5	the	the	DET
ejpam-6382	334	6	discrete	discrete	ADJ
ejpam-6382	334	7	generalized	generalized	ADJ
ejpam-6382	334	8	weibull	weibull	NOUN
ejpam-6382	334	9	(	(	PUNCT
ejpam-6382	334	10	dgw	dgw	PROPN
ejpam-6382	334	11	)	)	PUNCT
ejpam-6382	334	12	distribution	distribution	NOUN
ejpam-6382	334	13	proposed	propose	VERB
ejpam-6382	334	14	by	by	ADP
ejpam-6382	334	15	para	para	NOUN
ejpam-6382	334	16	and	and	CCONJ
ejpam-6382	334	17	jan	jan	PROPN
ejpam-6382	335	1	[	[	X
ejpam-6382	335	2	17	17	NUM
ejpam-6382	335	3	]	]	PUNCT
ejpam-6382	335	4	,	,	PUNCT
ejpam-6382	335	5	and	and	CCONJ
ejpam-6382	335	6	the	the	DET
ejpam-6382	335	7	discrete	discrete	ADJ
ejpam-6382	335	8	generalized	generalized	ADJ
ejpam-6382	335	9	inverse	inverse	NOUN
ejpam-6382	335	10	weibull	weibull	NOUN
ejpam-6382	335	11	(	(	PUNCT
ejpam-6382	335	12	dgiw	dgiw	NOUN
ejpam-6382	335	13	)	)	PUNCT
ejpam-6382	335	14	distribution	distribution	NOUN
ejpam-6382	335	15	developed	develop	VERB
ejpam-6382	335	16	by	by	ADP
ejpam-6382	335	17	para	para	NOUN
ejpam-6382	335	18	and	and	CCONJ
ejpam-6382	335	19	jan	jan	PROPN
ejpam-6382	336	1	[	[	X
ejpam-6382	336	2	18	18	NUM
ejpam-6382	336	3	]	]	PUNCT
ejpam-6382	336	4	.	.	PUNCT
ejpam-6382	337	1	the	the	DET
ejpam-6382	337	2	assessment	assessment	NOUN
ejpam-6382	337	3	of	of	ADP
ejpam-6382	337	4	model	model	NOUN
ejpam-6382	337	5	adequacy	adequacy	NOUN
ejpam-6382	337	6	and	and	CCONJ
ejpam-6382	337	7	comparative	comparative	ADJ
ejpam-6382	337	8	performance	performance	NOUN
ejpam-6382	337	9	is	be	AUX
ejpam-6382	337	10	primarily	primarily	ADV
ejpam-6382	337	11	based	base	VERB
ejpam-6382	337	12	on	on	ADP
ejpam-6382	337	13	the	the	DET
ejpam-6382	337	14	discrepancy	discrepancy	NOUN
ejpam-6382	337	15	coefficient	coefficient	NOUN
ejpam-6382	337	16	(	(	PUNCT
ejpam-6382	337	17	c	c	NOUN
ejpam-6382	337	18	)	)	PUNCT
ejpam-6382	337	19	,	,	PUNCT
ejpam-6382	337	20	which	which	PRON
ejpam-6382	337	21	is	be	AUX
ejpam-6382	337	22	computed	compute	VERB
ejpam-6382	337	23	as	as	ADP
ejpam-6382	337	24	the	the	DET
ejpam-6382	337	25	ratio	ratio	NOUN
ejpam-6382	337	26	of	of	ADP
ejpam-6382	337	27	the	the	DET
ejpam-6382	337	28	chi	chi	ADJ
ejpam-6382	337	29	-	-	PUNCT
ejpam-6382	337	30	square	square	ADJ
ejpam-6382	337	31	test	test	NOUN
ejpam-6382	337	32	statistic	statistic	NOUN
ejpam-6382	337	33	(	(	PUNCT
ejpam-6382	337	34	χ2	χ2	PROPN
ejpam-6382	337	35	)	)	PUNCT
ejpam-6382	337	36	to	to	ADP
ejpam-6382	337	37	the	the	DET
ejpam-6382	337	38	sample	sample	NOUN
ejpam-6382	337	39	size	size	NOUN
ejpam-6382	337	40	n	n	CCONJ
ejpam-6382	337	41	,	,	PUNCT
ejpam-6382	337	42	i.e.	i.e.	X
ejpam-6382	337	43	,	,	PUNCT
ejpam-6382	337	44	c	c	X
ejpam-6382	337	45	=	=	SYM
ejpam-6382	337	46	χ2	χ2	PROPN
ejpam-6382	337	47	n	n	ADV
ejpam-6382	337	48	.	.	PUNCT
ejpam-6382	338	1	this	this	DET
ejpam-6382	338	2	measure	measure	NOUN
ejpam-6382	338	3	was	be	AUX
ejpam-6382	338	4	originally	originally	ADV
ejpam-6382	338	5	proposed	propose	VERB
ejpam-6382	338	6	by	by	ADP
ejpam-6382	338	7	makcutek	makcutek	PROPN
ejpam-6382	338	8	[	[	X
ejpam-6382	338	9	19	19	NUM
ejpam-6382	338	10	]	]	PUNCT
ejpam-6382	338	11	as	as	ADP
ejpam-6382	338	12	an	an	DET
ejpam-6382	338	13	effective	effective	ADJ
ejpam-6382	338	14	tool	tool	NOUN
ejpam-6382	338	15	for	for	ADP
ejpam-6382	338	16	model	model	NOUN
ejpam-6382	338	17	evaluation	evaluation	NOUN
ejpam-6382	338	18	.	.	PUNCT
ejpam-6382	339	1	a	a	DET
ejpam-6382	339	2	smaller	small	ADJ
ejpam-6382	339	3	value	value	NOUN
ejpam-6382	339	4	of	of	ADP
ejpam-6382	339	5	c	c	PROPN
ejpam-6382	339	6	indicates	indicate	VERB
ejpam-6382	339	7	a	a	DET
ejpam-6382	339	8	better	well	ADJ
ejpam-6382	339	9	fit	fit	NOUN
ejpam-6382	339	10	of	of	ADP
ejpam-6382	339	11	the	the	DET
ejpam-6382	339	12	model	model	NOUN
ejpam-6382	339	13	to	to	ADP
ejpam-6382	339	14	the	the	DET
ejpam-6382	339	15	data	datum	NOUN
ejpam-6382	339	16	.	.	PUNCT
ejpam-6382	340	1	this	this	DET
ejpam-6382	340	2	interpretation	interpretation	NOUN
ejpam-6382	340	3	is	be	AUX
ejpam-6382	340	4	supported	support	VERB
ejpam-6382	340	5	by	by	ADP
ejpam-6382	340	6	previous	previous	ADJ
ejpam-6382	340	7	studies	study	NOUN
ejpam-6382	340	8	such	such	ADJ
ejpam-6382	340	9	as	as	ADP
ejpam-6382	340	10	grzybek	grzybek	PROPN
ejpam-6382	340	11	[	[	X
ejpam-6382	340	12	20	20	NUM
ejpam-6382	340	13	]	]	PUNCT
ejpam-6382	340	14	,	,	PUNCT
ejpam-6382	340	15	nekoukhou	nekoukhou	PROPN
ejpam-6382	340	16	et	et	PROPN
ejpam-6382	340	17	al	al	PROPN
ejpam-6382	340	18	.	.	PUNCT
ejpam-6382	341	1	[	[	X
ejpam-6382	341	2	21	21	NUM
ejpam-6382	341	3	]	]	PUNCT
ejpam-6382	341	4	,	,	PUNCT
ejpam-6382	341	5	and	and	CCONJ
ejpam-6382	341	6	das	das	PROPN
ejpam-6382	341	7	and	and	CCONJ
ejpam-6382	341	8	das	das	PROPN
ejpam-6382	341	9	[	[	X
ejpam-6382	341	10	16	16	NUM
ejpam-6382	341	11	]	]	PUNCT
ejpam-6382	341	12	.	.	PUNCT
ejpam-6382	342	1	in	in	ADP
ejpam-6382	342	2	addition	addition	NOUN
ejpam-6382	342	3	to	to	ADP
ejpam-6382	342	4	the	the	DET
ejpam-6382	342	5	discrepancy	discrepancy	NOUN
ejpam-6382	342	6	coefficient	coefficient	NOUN
ejpam-6382	342	7	,	,	PUNCT
ejpam-6382	342	8	other	other	ADJ
ejpam-6382	342	9	standard	standard	ADJ
ejpam-6382	342	10	goodness	goodness	NOUN
ejpam-6382	342	11	-	-	PUNCT
ejpam-6382	342	12	of	of	ADP
ejpam-6382	342	13	-	-	PUNCT
ejpam-6382	342	14	fit	fit	ADJ
ejpam-6382	342	15	metrics	metric	NOUN
ejpam-6382	342	16	are	be	AUX
ejpam-6382	342	17	employed	employ	VERB
ejpam-6382	342	18	for	for	ADP
ejpam-6382	342	19	comprehensive	comprehensive	ADJ
ejpam-6382	342	20	evaluation	evaluation	NOUN
ejpam-6382	342	21	,	,	PUNCT
ejpam-6382	342	22	including	include	VERB
ejpam-6382	342	23	the	the	DET
ejpam-6382	342	24	negative	negative	ADJ
ejpam-6382	342	25	log	log	NOUN
ejpam-6382	342	26	-	-	PUNCT
ejpam-6382	342	27	likelihood	likelihood	NOUN
ejpam-6382	342	28	(	(	PUNCT
ejpam-6382	342	29	–	–	PUNCT
ejpam-6382	342	30	log	log	NOUN
ejpam-6382	342	31	l	l	NOUN
ejpam-6382	342	32	)	)	PUNCT
ejpam-6382	342	33	and	and	CCONJ
ejpam-6382	342	34	the	the	DET
ejpam-6382	342	35	p	p	NOUN
ejpam-6382	342	36	-	-	PUNCT
ejpam-6382	342	37	value	value	NOUN
ejpam-6382	342	38	associated	associate	VERB
ejpam-6382	342	39	with	with	ADP
ejpam-6382	342	40	the	the	DET
ejpam-6382	342	41	χ2	χ2	PROPN
ejpam-6382	342	42	goodness	goodness	PROPN
ejpam-6382	342	43	-	-	PUNCT
ejpam-6382	342	44	of	of	ADP
ejpam-6382	342	45	-	-	PUNCT
ejpam-6382	342	46	fit	fit	NOUN
ejpam-6382	342	47	test	test	NOUN
ejpam-6382	342	48	.	.	PUNCT
ejpam-6382	343	1	these	these	DET
ejpam-6382	343	2	multiple	multiple	ADJ
ejpam-6382	343	3	indicators	indicator	NOUN
ejpam-6382	343	4	allow	allow	VERB
ejpam-6382	343	5	for	for	ADP
ejpam-6382	343	6	a	a	DET
ejpam-6382	343	7	robust	robust	ADJ
ejpam-6382	343	8	comparison	comparison	NOUN
ejpam-6382	343	9	of	of	ADP
ejpam-6382	343	10	the	the	DET
ejpam-6382	343	11	models	model	NOUN
ejpam-6382	343	12	’	'	PUNCT
ejpam-6382	343	13	performance	performance	NOUN
ejpam-6382	343	14	in	in	ADP
ejpam-6382	343	15	capturing	capture	VERB
ejpam-6382	343	16	the	the	DET
ejpam-6382	343	17	structure	structure	NOUN
ejpam-6382	343	18	and	and	CCONJ
ejpam-6382	343	19	variability	variability	NOUN
ejpam-6382	343	20	in	in	ADP
ejpam-6382	343	21	the	the	DET
ejpam-6382	343	22	data	datum	NOUN
ejpam-6382	343	23	.	.	PUNCT
ejpam-6382	344	1	all	all	DET
ejpam-6382	344	2	parameter	parameter	NOUN
ejpam-6382	344	3	estimates	estimate	NOUN
ejpam-6382	344	4	for	for	ADP
ejpam-6382	344	5	the	the	DET
ejpam-6382	344	6	fitted	fit	VERB
ejpam-6382	344	7	models	model	NOUN
ejpam-6382	344	8	are	be	AUX
ejpam-6382	344	9	obtained	obtain	VERB
ejpam-6382	344	10	via	via	ADP
ejpam-6382	344	11	the	the	DET
ejpam-6382	344	12	maximum	maximum	ADJ
ejpam-6382	344	13	likelihood	likelihood	NOUN
ejpam-6382	344	14	method	method	NOUN
ejpam-6382	344	15	using	use	VERB
ejpam-6382	344	16	the	the	DET
ejpam-6382	344	17	fitdistr	fitdistr	NOUN
ejpam-6382	344	18	function	function	NOUN
ejpam-6382	344	19	available	available	ADJ
ejpam-6382	344	20	in	in	ADP
ejpam-6382	344	21	the	the	DET
ejpam-6382	344	22	r	r	NOUN
ejpam-6382	344	23	programming	programming	NOUN
ejpam-6382	344	24	environment	environment	NOUN
ejpam-6382	344	25	.	.	PUNCT
ejpam-6382	345	1	this	this	DET
ejpam-6382	345	2	approach	approach	NOUN
ejpam-6382	345	3	ensures	ensure	VERB
ejpam-6382	345	4	the	the	DET
ejpam-6382	345	5	reliability	reliability	NOUN
ejpam-6382	345	6	and	and	CCONJ
ejpam-6382	345	7	consistency	consistency	PROPN
ejpam-6382	345	8	d.	d.	PROPN
ejpam-6382	345	9	das	das	PROPN
ejpam-6382	345	10	et	et	PROPN
ejpam-6382	345	11	al	al	PROPN
ejpam-6382	345	12	.	.	PUNCT
ejpam-6382	345	13	/	/	SYM
ejpam-6382	345	14	eur	eur	PROPN
ejpam-6382	345	15	.	.	PUNCT
ejpam-6382	346	1	j.	j.	PROPN
ejpam-6382	346	2	pure	pure	PROPN
ejpam-6382	346	3	appl	appl	PROPN
ejpam-6382	346	4	.	.	PROPN
ejpam-6382	346	5	math	math	PROPN
ejpam-6382	346	6	,	,	PUNCT
ejpam-6382	346	7	18	18	NUM
ejpam-6382	346	8	(	(	PUNCT
ejpam-6382	346	9	3	3	NUM
ejpam-6382	346	10	)	)	PUNCT
ejpam-6382	346	11	(	(	PUNCT
ejpam-6382	346	12	2025	2025	NUM
ejpam-6382	346	13	)	)	PUNCT
ejpam-6382	346	14	,	,	PUNCT
ejpam-6382	346	15	6382	6382	NUM
ejpam-6382	346	16	19	19	NUM
ejpam-6382	346	17	of	of	ADP
ejpam-6382	346	18	29	29	NUM
ejpam-6382	346	19	of	of	ADP
ejpam-6382	346	20	parameter	parameter	PROPN
ejpam-6382	346	21	estimation	estimation	NOUN
ejpam-6382	346	22	,	,	PUNCT
ejpam-6382	346	23	thereby	thereby	ADV
ejpam-6382	346	24	supporting	support	VERB
ejpam-6382	346	25	the	the	DET
ejpam-6382	346	26	conclusions	conclusion	NOUN
ejpam-6382	346	27	drawn	draw	VERB
ejpam-6382	346	28	from	from	ADP
ejpam-6382	346	29	the	the	DET
ejpam-6382	346	30	comparative	comparative	ADJ
ejpam-6382	346	31	model	model	NOUN
ejpam-6382	346	32	analysis	analysis	NOUN
ejpam-6382	346	33	.	.	PUNCT
ejpam-6382	347	1	7.1	7.1	NUM
ejpam-6382	347	2	.	.	PUNCT
ejpam-6382	348	1	application	application	NOUN
ejpam-6382	348	2	i	i	NOUN
ejpam-6382	348	3	:	:	PUNCT
ejpam-6382	348	4	microcalanus	microcalanu	NOUN
ejpam-6382	348	5	nauplii	nauplii	AUX
ejpam-6382	348	6	dataset	dataset	VERB
ejpam-6382	348	7	the	the	DET
ejpam-6382	348	8	first	first	ADJ
ejpam-6382	348	9	dataset	dataset	NOUN
ejpam-6382	348	10	represents	represent	VERB
ejpam-6382	348	11	the	the	DET
ejpam-6382	348	12	counts	count	NOUN
ejpam-6382	348	13	of	of	ADP
ejpam-6382	348	14	microcalanus	microcalanus	NOUN
ejpam-6382	348	15	nauplii	nauplii	NOUN
ejpam-6382	348	16	in	in	ADP
ejpam-6382	348	17	marine	marine	ADJ
ejpam-6382	348	18	plankton	plankton	NOUN
ejpam-6382	348	19	samples	sample	NOUN
ejpam-6382	348	20	,	,	PUNCT
ejpam-6382	348	21	with	with	ADP
ejpam-6382	348	22	a	a	DET
ejpam-6382	348	23	total	total	NOUN
ejpam-6382	348	24	of	of	ADP
ejpam-6382	348	25	150	150	NUM
ejpam-6382	348	26	observations	observation	NOUN
ejpam-6382	348	27	.	.	PUNCT
ejpam-6382	349	1	this	this	DET
ejpam-6382	349	2	dataset	dataset	NOUN
ejpam-6382	349	3	is	be	AUX
ejpam-6382	349	4	sourced	source	VERB
ejpam-6382	349	5	from	from	ADP
ejpam-6382	349	6	the	the	DET
ejpam-6382	349	7	work	work	NOUN
ejpam-6382	349	8	of	of	ADP
ejpam-6382	349	9	bliss	bliss	ADJ
ejpam-6382	349	10	and	and	CCONJ
ejpam-6382	349	11	fisher	fisher	PROPN
ejpam-6382	349	12	(	(	PUNCT
ejpam-6382	349	13	1953	1953	NUM
ejpam-6382	349	14	)	)	PUNCT
ejpam-6382	349	15	and	and	CCONJ
ejpam-6382	349	16	is	be	AUX
ejpam-6382	349	17	presented	present	VERB
ejpam-6382	349	18	in	in	ADP
ejpam-6382	349	19	table	table	NOUN
ejpam-6382	349	20	3	3	NUM
ejpam-6382	349	21	.	.	PUNCT
ejpam-6382	349	22	table	table	NOUN
ejpam-6382	349	23	3	3	NUM
ejpam-6382	349	24	:	:	PUNCT
ejpam-6382	349	25	the	the	DET
ejpam-6382	349	26	counts	count	NOUN
ejpam-6382	349	27	of	of	ADP
ejpam-6382	349	28	microcalanus	microcalanus	NOUN
ejpam-6382	349	29	nauplii	nauplii	VERB
ejpam-6382	349	30	in	in	ADP
ejpam-6382	349	31	samples	sample	NOUN
ejpam-6382	349	32	of	of	ADP
ejpam-6382	349	33	marine	marine	ADJ
ejpam-6382	349	34	plankton	plankton	NOUN
ejpam-6382	349	35	.	.	PUNCT
ejpam-6382	350	1	y	y	PROPN
ejpam-6382	350	2	0	0	NUM
ejpam-6382	350	3	1	1	NUM
ejpam-6382	350	4	2	2	NUM
ejpam-6382	350	5	3	3	NUM
ejpam-6382	350	6	4	4	NUM
ejpam-6382	350	7	5	5	NUM
ejpam-6382	350	8	6	6	NUM
ejpam-6382	350	9	7	7	NUM
ejpam-6382	350	10	8	8	NUM
ejpam-6382	350	11	9	9	NUM
ejpam-6382	350	12	10	10	NUM
ejpam-6382	350	13	frequency	frequency	NOUN
ejpam-6382	350	14	0	0	NUM
ejpam-6382	350	15	2	2	NUM
ejpam-6382	350	16	4	4	NUM
ejpam-6382	350	17	3	3	NUM
ejpam-6382	350	18	5	5	NUM
ejpam-6382	350	19	8	8	NUM
ejpam-6382	350	20	16	16	NUM
ejpam-6382	350	21	13	13	NUM
ejpam-6382	350	22	12	12	NUM
ejpam-6382	350	23	13	13	NUM
ejpam-6382	350	24	15	15	NUM
ejpam-6382	350	25	y	y	PROPN
ejpam-6382	350	26	11	11	NUM
ejpam-6382	350	27	12	12	NUM
ejpam-6382	350	28	13	13	NUM
ejpam-6382	350	29	14	14	NUM
ejpam-6382	350	30	15	15	NUM
ejpam-6382	350	31	16	16	NUM
ejpam-6382	350	32	17	17	NUM
ejpam-6382	350	33	18	18	NUM
ejpam-6382	350	34	19	19	NUM
ejpam-6382	350	35	20	20	NUM
ejpam-6382	350	36	21	21	NUM
ejpam-6382	350	37	frequency	frequency	NOUN
ejpam-6382	350	38	15	15	NUM
ejpam-6382	350	39	9	9	NUM
ejpam-6382	350	40	9	9	NUM
ejpam-6382	350	41	7	7	NUM
ejpam-6382	350	42	4	4	NUM
ejpam-6382	350	43	4	4	NUM
ejpam-6382	350	44	6	6	NUM
ejpam-6382	350	45	2	2	NUM
ejpam-6382	350	46	0	0	NUM
ejpam-6382	350	47	2	2	NUM
ejpam-6382	350	48	1	1	NUM
ejpam-6382	350	49	a	a	DET
ejpam-6382	350	50	key	key	ADJ
ejpam-6382	350	51	characteristic	characteristic	NOUN
ejpam-6382	350	52	of	of	ADP
ejpam-6382	350	53	this	this	DET
ejpam-6382	350	54	dataset	dataset	NOUN
ejpam-6382	350	55	is	be	AUX
ejpam-6382	350	56	the	the	DET
ejpam-6382	350	57	absence	absence	NOUN
ejpam-6382	350	58	of	of	ADP
ejpam-6382	350	59	any	any	DET
ejpam-6382	350	60	observations	observation	NOUN
ejpam-6382	350	61	with	with	ADP
ejpam-6382	350	62	a	a	DET
ejpam-6382	350	63	count	count	NOUN
ejpam-6382	350	64	of	of	ADP
ejpam-6382	350	65	0	0	NUM
ejpam-6382	350	66	,	,	PUNCT
ejpam-6382	350	67	i.e.	i.e.	X
ejpam-6382	350	68	,	,	PUNCT
ejpam-6382	350	69	the	the	DET
ejpam-6382	350	70	frequency	frequency	NOUN
ejpam-6382	350	71	corresponding	correspond	VERB
ejpam-6382	350	72	to	to	ADP
ejpam-6382	350	73	the	the	DET
ejpam-6382	350	74	variable	variable	ADJ
ejpam-6382	350	75	value	value	NOUN
ejpam-6382	350	76	y	y	PROPN
ejpam-6382	350	77	=	=	SYM
ejpam-6382	350	78	0	0	NUM
ejpam-6382	350	79	is	be	AUX
ejpam-6382	350	80	zero	zero	NUM
ejpam-6382	350	81	.	.	PUNCT
ejpam-6382	351	1	this	this	PRON
ejpam-6382	351	2	is	be	AUX
ejpam-6382	351	3	an	an	DET
ejpam-6382	351	4	important	important	ADJ
ejpam-6382	351	5	point	point	NOUN
ejpam-6382	351	6	because	because	SCONJ
ejpam-6382	351	7	it	it	PRON
ejpam-6382	351	8	indicates	indicate	VERB
ejpam-6382	351	9	that	that	SCONJ
ejpam-6382	351	10	the	the	DET
ejpam-6382	351	11	data	datum	NOUN
ejpam-6382	351	12	may	may	AUX
ejpam-6382	351	13	follow	follow	VERB
ejpam-6382	351	14	a	a	DET
ejpam-6382	351	15	length	length	NOUN
ejpam-6382	351	16	-	-	PUNCT
ejpam-6382	351	17	biased	biased	ADJ
ejpam-6382	351	18	distribution	distribution	NOUN
ejpam-6382	351	19	.	.	PUNCT
ejpam-6382	352	1	in	in	ADP
ejpam-6382	352	2	a	a	DET
ejpam-6382	352	3	length	length	NOUN
ejpam-6382	352	4	-	-	PUNCT
ejpam-6382	352	5	biased	bias	VERB
ejpam-6382	352	6	distribution	distribution	NOUN
ejpam-6382	352	7	,	,	PUNCT
ejpam-6382	352	8	events	event	NOUN
ejpam-6382	352	9	are	be	AUX
ejpam-6382	352	10	not	not	PART
ejpam-6382	352	11	randomly	randomly	ADV
ejpam-6382	352	12	sampled	sample	VERB
ejpam-6382	352	13	,	,	PUNCT
ejpam-6382	352	14	but	but	CCONJ
ejpam-6382	352	15	rather	rather	ADV
ejpam-6382	352	16	,	,	PUNCT
ejpam-6382	352	17	the	the	DET
ejpam-6382	352	18	likelihood	likelihood	NOUN
ejpam-6382	352	19	of	of	ADP
ejpam-6382	352	20	selecting	select	VERB
ejpam-6382	352	21	an	an	DET
ejpam-6382	352	22	event	event	NOUN
ejpam-6382	352	23	is	be	AUX
ejpam-6382	352	24	proportional	proportional	ADJ
ejpam-6382	352	25	to	to	ADP
ejpam-6382	352	26	its	its	PRON
ejpam-6382	352	27	”	"	PUNCT
ejpam-6382	352	28	length	length	NOUN
ejpam-6382	352	29	”	"	PUNCT
ejpam-6382	352	30	or	or	CCONJ
ejpam-6382	352	31	magnitude	magnitude	NOUN
ejpam-6382	352	32	.	.	PUNCT
ejpam-6382	353	1	in	in	ADP
ejpam-6382	353	2	practical	practical	ADJ
ejpam-6382	353	3	terms	term	NOUN
ejpam-6382	353	4	,	,	PUNCT
ejpam-6382	353	5	this	this	PRON
ejpam-6382	353	6	often	often	ADV
ejpam-6382	353	7	means	mean	VERB
ejpam-6382	353	8	that	that	SCONJ
ejpam-6382	353	9	larger	large	ADJ
ejpam-6382	353	10	values	value	NOUN
ejpam-6382	353	11	are	be	AUX
ejpam-6382	353	12	more	more	ADV
ejpam-6382	353	13	likely	likely	ADJ
ejpam-6382	353	14	to	to	PART
ejpam-6382	353	15	be	be	AUX
ejpam-6382	353	16	observed	observe	VERB
ejpam-6382	353	17	,	,	PUNCT
ejpam-6382	353	18	as	as	SCONJ
ejpam-6382	353	19	they	they	PRON
ejpam-6382	353	20	correspond	correspond	VERB
ejpam-6382	353	21	to	to	ADP
ejpam-6382	353	22	longer	long	ADJ
ejpam-6382	353	23	”	"	PUNCT
ejpam-6382	353	24	lifetimes	lifetime	NOUN
ejpam-6382	353	25	”	"	PUNCT
ejpam-6382	353	26	or	or	CCONJ
ejpam-6382	353	27	larger	large	ADJ
ejpam-6382	353	28	quantities	quantity	NOUN
ejpam-6382	353	29	in	in	ADP
ejpam-6382	353	30	the	the	DET
ejpam-6382	353	31	context	context	NOUN
ejpam-6382	353	32	of	of	ADP
ejpam-6382	353	33	sampling	sample	VERB
ejpam-6382	353	34	.	.	PUNCT
ejpam-6382	354	1	therefore	therefore	ADV
ejpam-6382	354	2	,	,	PUNCT
ejpam-6382	354	3	for	for	ADP
ejpam-6382	354	4	length	length	NOUN
ejpam-6382	354	5	-	-	PUNCT
ejpam-6382	354	6	biased	bias	VERB
ejpam-6382	354	7	distributions	distribution	NOUN
ejpam-6382	354	8	,	,	PUNCT
ejpam-6382	354	9	it	it	PRON
ejpam-6382	354	10	is	be	AUX
ejpam-6382	354	11	typical	typical	ADJ
ejpam-6382	354	12	to	to	PART
ejpam-6382	354	13	observe	observe	VERB
ejpam-6382	354	14	that	that	SCONJ
ejpam-6382	354	15	p0	p0	NOUN
ejpam-6382	354	16	=	=	SYM
ejpam-6382	354	17	0	0	PUNCT
ejpam-6382	355	1	(	(	PUNCT
ejpam-6382	355	2	the	the	DET
ejpam-6382	355	3	probability	probability	NOUN
ejpam-6382	355	4	of	of	ADP
ejpam-6382	355	5	the	the	DET
ejpam-6382	355	6	smallest	small	ADJ
ejpam-6382	355	7	value	value	NOUN
ejpam-6382	355	8	,	,	PUNCT
ejpam-6382	355	9	y	y	PROPN
ejpam-6382	355	10	=	=	SYM
ejpam-6382	355	11	0	0	NUM
ejpam-6382	355	12	,	,	PUNCT
ejpam-6382	355	13	is	be	AUX
ejpam-6382	355	14	zero	zero	NUM
ejpam-6382	355	15	)	)	PUNCT
ejpam-6382	355	16	.	.	PUNCT
ejpam-6382	356	1	this	this	DET
ejpam-6382	356	2	feature	feature	NOUN
ejpam-6382	356	3	makes	make	VERB
ejpam-6382	356	4	the	the	DET
ejpam-6382	356	5	dataset	dataset	NOUN
ejpam-6382	356	6	a	a	DET
ejpam-6382	356	7	potential	potential	ADJ
ejpam-6382	356	8	candidate	candidate	NOUN
ejpam-6382	356	9	for	for	ADP
ejpam-6382	356	10	modeling	modeling	NOUN
ejpam-6382	356	11	using	use	VERB
ejpam-6382	356	12	a	a	DET
ejpam-6382	356	13	length	length	NOUN
ejpam-6382	356	14	-	-	PUNCT
ejpam-6382	356	15	biased	bias	VERB
ejpam-6382	356	16	distribution	distribution	NOUN
ejpam-6382	356	17	,	,	PUNCT
ejpam-6382	356	18	particularly	particularly	ADV
ejpam-6382	356	19	the	the	DET
ejpam-6382	356	20	lbdfw	lbdfw	ADJ
ejpam-6382	356	21	model	model	NOUN
ejpam-6382	356	22	.	.	PUNCT
ejpam-6382	357	1	additionally	additionally	ADV
ejpam-6382	357	2	,	,	PUNCT
ejpam-6382	357	3	the	the	DET
ejpam-6382	357	4	dataset	dataset	NOUN
ejpam-6382	357	5	exhibits	exhibit	VERB
ejpam-6382	357	6	characteristics	characteristic	NOUN
ejpam-6382	357	7	of	of	ADP
ejpam-6382	357	8	overdispersion	overdispersion	NOUN
ejpam-6382	357	9	,	,	PUNCT
ejpam-6382	357	10	which	which	PRON
ejpam-6382	357	11	is	be	AUX
ejpam-6382	357	12	another	another	DET
ejpam-6382	357	13	important	important	ADJ
ejpam-6382	357	14	aspect	aspect	NOUN
ejpam-6382	357	15	to	to	PART
ejpam-6382	357	16	consider	consider	VERB
ejpam-6382	357	17	when	when	SCONJ
ejpam-6382	357	18	selecting	select	VERB
ejpam-6382	357	19	an	an	DET
ejpam-6382	357	20	appropriate	appropriate	ADJ
ejpam-6382	357	21	model	model	NOUN
ejpam-6382	357	22	.	.	PUNCT
ejpam-6382	358	1	overdispersion	overdispersion	NOUN
ejpam-6382	358	2	occurs	occur	VERB
ejpam-6382	358	3	when	when	SCONJ
ejpam-6382	358	4	the	the	DET
ejpam-6382	358	5	variance	variance	NOUN
ejpam-6382	358	6	of	of	ADP
ejpam-6382	358	7	the	the	DET
ejpam-6382	358	8	data	datum	NOUN
ejpam-6382	358	9	exceeds	exceed	VERB
ejpam-6382	358	10	its	its	PRON
ejpam-6382	358	11	mean	mean	NOUN
ejpam-6382	358	12	.	.	PUNCT
ejpam-6382	359	1	in	in	ADP
ejpam-6382	359	2	this	this	DET
ejpam-6382	359	3	case	case	NOUN
ejpam-6382	359	4	,	,	PUNCT
ejpam-6382	359	5	the	the	DET
ejpam-6382	359	6	variance	variance	NOUN
ejpam-6382	359	7	is	be	AUX
ejpam-6382	359	8	17.36	17.36	NUM
ejpam-6382	359	9	,	,	PUNCT
ejpam-6382	359	10	which	which	PRON
ejpam-6382	359	11	is	be	AUX
ejpam-6382	359	12	significantly	significantly	ADV
ejpam-6382	359	13	higher	high	ADJ
ejpam-6382	359	14	than	than	ADP
ejpam-6382	359	15	the	the	DET
ejpam-6382	359	16	mean	mean	NOUN
ejpam-6382	359	17	of	of	ADP
ejpam-6382	359	18	9.60	9.60	NUM
ejpam-6382	359	19	.	.	PUNCT
ejpam-6382	360	1	this	this	DET
ejpam-6382	360	2	overdispersion	overdispersion	NOUN
ejpam-6382	360	3	suggests	suggest	VERB
ejpam-6382	360	4	that	that	SCONJ
ejpam-6382	360	5	the	the	DET
ejpam-6382	360	6	data	datum	NOUN
ejpam-6382	360	7	do	do	AUX
ejpam-6382	360	8	not	not	PART
ejpam-6382	360	9	follow	follow	VERB
ejpam-6382	360	10	a	a	DET
ejpam-6382	360	11	simple	simple	ADJ
ejpam-6382	360	12	poisson	poisson	NOUN
ejpam-6382	360	13	or	or	CCONJ
ejpam-6382	360	14	binomial	binomial	ADJ
ejpam-6382	360	15	distribution	distribution	NOUN
ejpam-6382	360	16	,	,	PUNCT
ejpam-6382	360	17	both	both	PRON
ejpam-6382	360	18	of	of	ADP
ejpam-6382	360	19	which	which	PRON
ejpam-6382	360	20	would	would	AUX
ejpam-6382	360	21	require	require	VERB
ejpam-6382	360	22	the	the	DET
ejpam-6382	360	23	mean	mean	NOUN
ejpam-6382	360	24	and	and	CCONJ
ejpam-6382	360	25	variance	variance	NOUN
ejpam-6382	360	26	to	to	PART
ejpam-6382	360	27	be	be	AUX
ejpam-6382	360	28	approximately	approximately	ADV
ejpam-6382	360	29	equal	equal	ADJ
ejpam-6382	360	30	.	.	PUNCT
ejpam-6382	361	1	the	the	DET
ejpam-6382	361	2	lbdfw	lbdfw	PROPN
ejpam-6382	361	3	model	model	NOUN
ejpam-6382	361	4	,	,	PUNCT
ejpam-6382	361	5	which	which	PRON
ejpam-6382	361	6	accounts	account	VERB
ejpam-6382	361	7	for	for	ADP
ejpam-6382	361	8	varying	vary	VERB
ejpam-6382	361	9	degrees	degree	NOUN
ejpam-6382	361	10	of	of	ADP
ejpam-6382	361	11	dispersion	dispersion	NOUN
ejpam-6382	361	12	,	,	PUNCT
ejpam-6382	361	13	is	be	AUX
ejpam-6382	361	14	suitable	suitable	ADJ
ejpam-6382	361	15	for	for	ADP
ejpam-6382	361	16	modeling	model	VERB
ejpam-6382	361	17	overdispersed	overdisperse	VERB
ejpam-6382	361	18	data	datum	NOUN
ejpam-6382	361	19	like	like	ADP
ejpam-6382	361	20	this	this	PRON
ejpam-6382	361	21	.	.	PUNCT
ejpam-6382	362	1	furthermore	furthermore	ADV
ejpam-6382	362	2	,	,	PUNCT
ejpam-6382	362	3	the	the	DET
ejpam-6382	362	4	dataset	dataset	NOUN
ejpam-6382	362	5	is	be	AUX
ejpam-6382	362	6	platykurtic	platykurtic	ADJ
ejpam-6382	362	7	,	,	PUNCT
ejpam-6382	362	8	with	with	ADP
ejpam-6382	362	9	a	a	DET
ejpam-6382	362	10	kurtosis	kurtosis	NOUN
ejpam-6382	362	11	value	value	NOUN
ejpam-6382	362	12	of	of	ADP
ejpam-6382	362	13	2.79	2.79	NUM
ejpam-6382	362	14	,	,	PUNCT
ejpam-6382	362	15	which	which	PRON
ejpam-6382	362	16	is	be	AUX
ejpam-6382	362	17	less	less	ADJ
ejpam-6382	362	18	than	than	ADP
ejpam-6382	362	19	3	3	NUM
ejpam-6382	362	20	(	(	PUNCT
ejpam-6382	362	21	the	the	DET
ejpam-6382	362	22	kurtosis	kurtosis	NOUN
ejpam-6382	362	23	value	value	NOUN
ejpam-6382	362	24	for	for	ADP
ejpam-6382	362	25	a	a	DET
ejpam-6382	362	26	normal	normal	ADJ
ejpam-6382	362	27	distribution	distribution	NOUN
ejpam-6382	362	28	)	)	PUNCT
ejpam-6382	362	29	.	.	PUNCT
ejpam-6382	363	1	platykurtic	platykurtic	ADJ
ejpam-6382	363	2	distributions	distribution	NOUN
ejpam-6382	363	3	have	have	VERB
ejpam-6382	363	4	lighter	light	ADJ
ejpam-6382	363	5	tails	tail	NOUN
ejpam-6382	363	6	than	than	ADP
ejpam-6382	363	7	the	the	DET
ejpam-6382	363	8	normal	normal	ADJ
ejpam-6382	363	9	distribution	distribution	NOUN
ejpam-6382	363	10	,	,	PUNCT
ejpam-6382	363	11	indicating	indicate	VERB
ejpam-6382	363	12	that	that	SCONJ
ejpam-6382	363	13	extreme	extreme	ADJ
ejpam-6382	363	14	values	value	NOUN
ejpam-6382	363	15	are	be	AUX
ejpam-6382	363	16	less	less	ADV
ejpam-6382	363	17	frequent	frequent	ADJ
ejpam-6382	363	18	than	than	SCONJ
ejpam-6382	363	19	they	they	PRON
ejpam-6382	363	20	would	would	AUX
ejpam-6382	363	21	be	be	AUX
ejpam-6382	363	22	in	in	ADP
ejpam-6382	363	23	a	a	DET
ejpam-6382	363	24	leptokurtic	leptokurtic	ADJ
ejpam-6382	363	25	distribution	distribution	NOUN
ejpam-6382	363	26	(	(	PUNCT
ejpam-6382	363	27	which	which	PRON
ejpam-6382	363	28	has	have	VERB
ejpam-6382	363	29	heavy	heavy	ADJ
ejpam-6382	363	30	tails	tail	NOUN
ejpam-6382	363	31	)	)	PUNCT
ejpam-6382	363	32	.	.	PUNCT
ejpam-6382	364	1	the	the	DET
ejpam-6382	364	2	lbdfw	lbdfw	PROPN
ejpam-6382	364	3	model	model	NOUN
ejpam-6382	364	4	is	be	AUX
ejpam-6382	364	5	also	also	ADV
ejpam-6382	364	6	appropriate	appropriate	ADJ
ejpam-6382	364	7	for	for	ADP
ejpam-6382	364	8	platykurtic	platykurtic	ADJ
ejpam-6382	364	9	data	datum	NOUN
ejpam-6382	364	10	,	,	PUNCT
ejpam-6382	364	11	as	as	SCONJ
ejpam-6382	364	12	it	it	PRON
ejpam-6382	364	13	is	be	AUX
ejpam-6382	364	14	capable	capable	ADJ
ejpam-6382	364	15	of	of	ADP
ejpam-6382	364	16	handling	handle	VERB
ejpam-6382	364	17	distributions	distribution	NOUN
ejpam-6382	364	18	with	with	ADP
ejpam-6382	364	19	different	different	ADJ
ejpam-6382	364	20	tail	tail	NOUN
ejpam-6382	364	21	behaviors	behavior	NOUN
ejpam-6382	364	22	,	,	PUNCT
ejpam-6382	364	23	further	far	ADV
ejpam-6382	364	24	making	make	VERB
ejpam-6382	364	25	it	it	PRON
ejpam-6382	364	26	a	a	DET
ejpam-6382	364	27	fitting	fitting	ADJ
ejpam-6382	364	28	choice	choice	NOUN
ejpam-6382	364	29	for	for	ADP
ejpam-6382	364	30	this	this	DET
ejpam-6382	364	31	dataset	dataset	NOUN
ejpam-6382	364	32	.	.	PUNCT
ejpam-6382	365	1	to	to	PART
ejpam-6382	365	2	summarize	summarize	VERB
ejpam-6382	365	3	,	,	PUNCT
ejpam-6382	365	4	the	the	DET
ejpam-6382	365	5	microcalanus	microcalanus	NOUN
ejpam-6382	365	6	nauplii	nauplii	NOUN
ejpam-6382	365	7	count	count	NOUN
ejpam-6382	365	8	data	datum	NOUN
ejpam-6382	365	9	exhibits	exhibit	VERB
ejpam-6382	365	10	the	the	DET
ejpam-6382	365	11	essential	essential	ADJ
ejpam-6382	365	12	features	feature	NOUN
ejpam-6382	365	13	that	that	PRON
ejpam-6382	365	14	align	align	VERB
ejpam-6382	365	15	with	with	ADP
ejpam-6382	365	16	the	the	DET
ejpam-6382	365	17	properties	property	NOUN
ejpam-6382	365	18	of	of	ADP
ejpam-6382	365	19	the	the	DET
ejpam-6382	365	20	lbdfwmodel	lbdfwmodel	NOUN
ejpam-6382	365	21	:	:	PUNCT
ejpam-6382	365	22	it	it	PRON
ejpam-6382	365	23	is	be	AUX
ejpam-6382	365	24	length	length	NOUN
ejpam-6382	365	25	-	-	PUNCT
ejpam-6382	365	26	biased	biased	ADJ
ejpam-6382	365	27	(	(	PUNCT
ejpam-6382	365	28	with	with	ADP
ejpam-6382	365	29	zero	zero	NUM
ejpam-6382	365	30	frequency	frequency	NOUN
ejpam-6382	365	31	for	for	ADP
ejpam-6382	365	32	y	y	PROPN
ejpam-6382	365	33	=	=	PROPN
ejpam-6382	365	34	0	0	NUM
ejpam-6382	365	35	)	)	PUNCT
ejpam-6382	365	36	,	,	PUNCT
ejpam-6382	365	37	overdispersed	overdisperse	VERB
ejpam-6382	365	38	(	(	PUNCT
ejpam-6382	365	39	variance	variance	NOUN
ejpam-6382	365	40	exceeds	exceed	VERB
ejpam-6382	365	41	the	the	DET
ejpam-6382	365	42	mean	mean	NOUN
ejpam-6382	365	43	)	)	PUNCT
ejpam-6382	365	44	,	,	PUNCT
ejpam-6382	365	45	and	and	CCONJ
ejpam-6382	365	46	platykurtic	platykurtic	ADJ
ejpam-6382	365	47	(	(	PUNCT
ejpam-6382	365	48	with	with	ADP
ejpam-6382	365	49	a	a	DET
ejpam-6382	365	50	kurtosis	kurtosis	NOUN
ejpam-6382	365	51	less	less	ADJ
ejpam-6382	365	52	than	than	ADP
ejpam-6382	365	53	3	3	NUM
ejpam-6382	365	54	)	)	PUNCT
ejpam-6382	365	55	.	.	PUNCT
ejpam-6382	366	1	these	these	DET
ejpam-6382	366	2	characteristics	characteristic	NOUN
ejpam-6382	366	3	make	make	VERB
ejpam-6382	366	4	it	it	PRON
ejpam-6382	366	5	an	an	DET
ejpam-6382	366	6	ideal	ideal	ADJ
ejpam-6382	366	7	candidate	candidate	NOUN
ejpam-6382	366	8	for	for	ADP
ejpam-6382	366	9	modeling	modeling	NOUN
ejpam-6382	366	10	using	use	VERB
ejpam-6382	366	11	the	the	DET
ejpam-6382	366	12	lbdfw	lbdfw	ADJ
ejpam-6382	366	13	distribution	distribution	NOUN
ejpam-6382	366	14	,	,	PUNCT
ejpam-6382	366	15	which	which	PRON
ejpam-6382	366	16	accounts	account	VERB
ejpam-6382	366	17	for	for	ADP
ejpam-6382	366	18	both	both	CCONJ
ejpam-6382	366	19	the	the	DET
ejpam-6382	366	20	overdispersion	overdispersion	NOUN
ejpam-6382	366	21	and	and	CCONJ
ejpam-6382	366	22	the	the	DET
ejpam-6382	366	23	non	non	ADJ
ejpam-6382	366	24	-	-	ADJ
ejpam-6382	366	25	normal	normal	ADJ
ejpam-6382	366	26	shape	shape	NOUN
ejpam-6382	366	27	of	of	ADP
ejpam-6382	366	28	the	the	DET
ejpam-6382	366	29	data	datum	NOUN
ejpam-6382	366	30	.	.	PUNCT
ejpam-6382	367	1	d.	d.	PROPN
ejpam-6382	367	2	das	das	PROPN
ejpam-6382	367	3	et	et	PROPN
ejpam-6382	367	4	al	al	PROPN
ejpam-6382	367	5	.	.	PUNCT
ejpam-6382	367	6	/	/	SYM
ejpam-6382	367	7	eur	eur	PROPN
ejpam-6382	367	8	.	.	PUNCT
ejpam-6382	368	1	j.	j.	PROPN
ejpam-6382	368	2	pure	pure	PROPN
ejpam-6382	368	3	appl	appl	PROPN
ejpam-6382	368	4	.	.	PROPN
ejpam-6382	368	5	math	math	PROPN
ejpam-6382	368	6	,	,	PUNCT
ejpam-6382	368	7	18	18	NUM
ejpam-6382	368	8	(	(	PUNCT
ejpam-6382	368	9	3	3	NUM
ejpam-6382	368	10	)	)	PUNCT
ejpam-6382	368	11	(	(	PUNCT
ejpam-6382	368	12	2025	2025	NUM
ejpam-6382	368	13	)	)	PUNCT
ejpam-6382	368	14	,	,	PUNCT
ejpam-6382	368	15	6382	6382	NUM
ejpam-6382	368	16	20	20	NUM
ejpam-6382	368	17	of	of	ADP
ejpam-6382	368	18	29	29	NUM
ejpam-6382	368	19	on	on	ADP
ejpam-6382	368	20	the	the	DET
ejpam-6382	368	21	other	other	ADJ
ejpam-6382	368	22	hand	hand	NOUN
ejpam-6382	368	23	,	,	PUNCT
ejpam-6382	368	24	an	an	DET
ejpam-6382	368	25	essential	essential	ADJ
ejpam-6382	368	26	diagnostic	diagnostic	ADJ
ejpam-6382	368	27	tool	tool	NOUN
ejpam-6382	368	28	for	for	ADP
ejpam-6382	368	29	understanding	understand	VERB
ejpam-6382	368	30	the	the	DET
ejpam-6382	368	31	underlying	underlying	ADJ
ejpam-6382	368	32	behavior	behavior	NOUN
ejpam-6382	368	33	of	of	ADP
ejpam-6382	368	34	the	the	DET
ejpam-6382	368	35	hazard	hazard	NOUN
ejpam-6382	368	36	rate	rate	NOUN
ejpam-6382	368	37	function	function	NOUN
ejpam-6382	368	38	(	(	PUNCT
ejpam-6382	368	39	hrf	hrf	PROPN
ejpam-6382	368	40	)	)	PUNCT
ejpam-6382	368	41	of	of	ADP
ejpam-6382	368	42	a	a	DET
ejpam-6382	368	43	dataset	dataset	NOUN
ejpam-6382	368	44	is	be	AUX
ejpam-6382	368	45	the	the	DET
ejpam-6382	368	46	total	total	ADJ
ejpam-6382	368	47	time	time	NOUN
ejpam-6382	368	48	on	on	ADP
ejpam-6382	368	49	test	test	NOUN
ejpam-6382	368	50	(	(	PUNCT
ejpam-6382	368	51	ttt	ttt	NOUN
ejpam-6382	368	52	)	)	PUNCT
ejpam-6382	368	53	transform	transform	VERB
ejpam-6382	368	54	plot	plot	NOUN
ejpam-6382	368	55	.	.	PUNCT
ejpam-6382	369	1	according	accord	VERB
ejpam-6382	369	2	to	to	ADP
ejpam-6382	369	3	aarset	aarset	NOUN
ejpam-6382	369	4	[	[	X
ejpam-6382	369	5	22	22	NUM
ejpam-6382	369	6	]	]	PUNCT
ejpam-6382	369	7	,	,	PUNCT
ejpam-6382	369	8	the	the	DET
ejpam-6382	369	9	shape	shape	NOUN
ejpam-6382	369	10	of	of	ADP
ejpam-6382	369	11	the	the	DET
ejpam-6382	369	12	scaled	scale	VERB
ejpam-6382	369	13	ttt	ttt	PROPN
ejpam-6382	369	14	transform	transform	NOUN
ejpam-6382	369	15	provides	provide	VERB
ejpam-6382	369	16	valuable	valuable	ADJ
ejpam-6382	369	17	insights	insight	NOUN
ejpam-6382	369	18	into	into	ADP
ejpam-6382	369	19	the	the	DET
ejpam-6382	369	20	nature	nature	NOUN
ejpam-6382	369	21	of	of	ADP
ejpam-6382	369	22	the	the	DET
ejpam-6382	369	23	hazard	hazard	NOUN
ejpam-6382	369	24	rate	rate	NOUN
ejpam-6382	369	25	.	.	PUNCT
ejpam-6382	370	1	specifically	specifically	ADV
ejpam-6382	370	2	,	,	PUNCT
ejpam-6382	370	3	if	if	SCONJ
ejpam-6382	370	4	the	the	DET
ejpam-6382	370	5	scaled	scale	VERB
ejpam-6382	370	6	ttt	ttt	PROPN
ejpam-6382	370	7	plot	plot	NOUN
ejpam-6382	370	8	is	be	AUX
ejpam-6382	370	9	strictly	strictly	ADV
ejpam-6382	370	10	concave	concave	VERB
ejpam-6382	370	11	,	,	PUNCT
ejpam-6382	370	12	it	it	PRON
ejpam-6382	370	13	implies	imply	VERB
ejpam-6382	370	14	that	that	SCONJ
ejpam-6382	370	15	the	the	DET
ejpam-6382	370	16	distribution	distribution	NOUN
ejpam-6382	370	17	has	have	VERB
ejpam-6382	370	18	an	an	DET
ejpam-6382	370	19	increasing	increase	VERB
ejpam-6382	370	20	hazard	hazard	NOUN
ejpam-6382	370	21	rate	rate	NOUN
ejpam-6382	370	22	(	(	PUNCT
ejpam-6382	370	23	ihr	ihr	PROPN
ejpam-6382	370	24	)	)	PUNCT
ejpam-6382	370	25	;	;	PUNCT
ejpam-6382	370	26	conversely	conversely	ADV
ejpam-6382	370	27	,	,	PUNCT
ejpam-6382	370	28	a	a	DET
ejpam-6382	370	29	strictly	strictly	ADV
ejpam-6382	370	30	convex	convex	ADJ
ejpam-6382	370	31	ttt	ttt	PROPN
ejpam-6382	370	32	plot	plot	NOUN
ejpam-6382	370	33	indicates	indicate	VERB
ejpam-6382	370	34	a	a	DET
ejpam-6382	370	35	decreasing	decrease	VERB
ejpam-6382	370	36	hazard	hazard	NOUN
ejpam-6382	370	37	rate	rate	NOUN
ejpam-6382	370	38	(	(	PUNCT
ejpam-6382	370	39	dhr	dhr	PROPN
ejpam-6382	370	40	)	)	PUNCT
ejpam-6382	370	41	.	.	PUNCT
ejpam-6382	371	1	these	these	DET
ejpam-6382	371	2	conclusions	conclusion	NOUN
ejpam-6382	371	3	are	be	AUX
ejpam-6382	371	4	not	not	PART
ejpam-6382	371	5	merely	merely	ADV
ejpam-6382	371	6	suggestive	suggestive	ADJ
ejpam-6382	371	7	but	but	CCONJ
ejpam-6382	371	8	are	be	AUX
ejpam-6382	371	9	considered	consider	VERB
ejpam-6382	371	10	necessary	necessary	ADJ
ejpam-6382	371	11	and	and	CCONJ
ejpam-6382	371	12	sufficient	sufficient	ADJ
ejpam-6382	371	13	conditions	condition	NOUN
ejpam-6382	371	14	under	under	ADP
ejpam-6382	371	15	regularity	regularity	NOUN
ejpam-6382	371	16	assumptions	assumption	NOUN
ejpam-6382	371	17	.	.	PUNCT
ejpam-6382	372	1	figure	figure	VERB
ejpam-6382	372	2	4	4	NUM
ejpam-6382	372	3	displays	display	NOUN
ejpam-6382	372	4	both	both	CCONJ
ejpam-6382	372	5	the	the	DET
ejpam-6382	372	6	empirical	empirical	ADJ
ejpam-6382	372	7	and	and	CCONJ
ejpam-6382	372	8	scaled	scale	VERB
ejpam-6382	372	9	ttt	ttt	PROPN
ejpam-6382	372	10	plots	plot	NOUN
ejpam-6382	372	11	along	along	ADP
ejpam-6382	372	12	with	with	ADP
ejpam-6382	372	13	the	the	DET
ejpam-6382	372	14	estimated	estimate	VERB
ejpam-6382	372	15	hazard	hazard	NOUN
ejpam-6382	372	16	rate	rate	NOUN
ejpam-6382	372	17	function	function	NOUN
ejpam-6382	372	18	for	for	ADP
ejpam-6382	372	19	dataset	dataset	ADJ
ejpam-6382	372	20	i.	i.	NOUN
ejpam-6382	372	21	figure	figure	NOUN
ejpam-6382	372	22	4	4	NUM
ejpam-6382	372	23	:	:	PUNCT
ejpam-6382	372	24	empirical	empirical	ADJ
ejpam-6382	372	25	and	and	CCONJ
ejpam-6382	372	26	fitted	fit	VERB
ejpam-6382	372	27	scaled	scale	VERB
ejpam-6382	372	28	ttt	ttt	NOUN
ejpam-6382	372	29	-	-	PUNCT
ejpam-6382	372	30	transform	transform	NOUN
ejpam-6382	372	31	plots	plot	NOUN
ejpam-6382	372	32	and	and	CCONJ
ejpam-6382	372	33	hrf	hrf	PROPN
ejpam-6382	372	34	plot	plot	NOUN
ejpam-6382	372	35	for	for	ADP
ejpam-6382	372	36	the	the	DET
ejpam-6382	372	37	dataset	dataset	PROPN
ejpam-6382	372	38	i.	i.	PROPN
ejpam-6382	372	39	a	a	DET
ejpam-6382	372	40	clear	clear	ADJ
ejpam-6382	372	41	concave	concave	NOUN
ejpam-6382	372	42	pattern	pattern	NOUN
ejpam-6382	372	43	is	be	AUX
ejpam-6382	372	44	observed	observe	VERB
ejpam-6382	372	45	in	in	ADP
ejpam-6382	372	46	the	the	DET
ejpam-6382	372	47	empirical	empirical	ADJ
ejpam-6382	372	48	and	and	CCONJ
ejpam-6382	372	49	scaled	scale	VERB
ejpam-6382	372	50	ttt	ttt	PROPN
ejpam-6382	372	51	curves	curve	NOUN
ejpam-6382	372	52	.	.	PUNCT
ejpam-6382	373	1	this	this	DET
ejpam-6382	373	2	pattern	pattern	NOUN
ejpam-6382	373	3	strongly	strongly	ADV
ejpam-6382	373	4	indicates	indicate	VERB
ejpam-6382	373	5	that	that	SCONJ
ejpam-6382	373	6	the	the	DET
ejpam-6382	373	7	hazard	hazard	NOUN
ejpam-6382	373	8	rate	rate	NOUN
ejpam-6382	373	9	is	be	AUX
ejpam-6382	373	10	increasing	increase	VERB
ejpam-6382	373	11	over	over	ADP
ejpam-6382	373	12	time	time	NOUN
ejpam-6382	373	13	,	,	PUNCT
ejpam-6382	373	14	meaning	mean	VERB
ejpam-6382	373	15	that	that	SCONJ
ejpam-6382	373	16	the	the	DET
ejpam-6382	373	17	likelihood	likelihood	NOUN
ejpam-6382	373	18	of	of	ADP
ejpam-6382	373	19	failure	failure	NOUN
ejpam-6382	373	20	or	or	CCONJ
ejpam-6382	373	21	occurrence	occurrence	NOUN
ejpam-6382	373	22	of	of	ADP
ejpam-6382	373	23	an	an	DET
ejpam-6382	373	24	event	event	NOUN
ejpam-6382	373	25	becomes	become	VERB
ejpam-6382	373	26	higher	high	ADJ
ejpam-6382	373	27	as	as	ADP
ejpam-6382	373	28	time	time	NOUN
ejpam-6382	373	29	progresses	progress	NOUN
ejpam-6382	373	30	.	.	PUNCT
ejpam-6382	374	1	such	such	DET
ejpam-6382	374	2	a	a	DET
ejpam-6382	374	3	trend	trend	NOUN
ejpam-6382	374	4	in	in	ADP
ejpam-6382	374	5	the	the	DET
ejpam-6382	374	6	hazard	hazard	NOUN
ejpam-6382	374	7	rate	rate	NOUN
ejpam-6382	374	8	is	be	AUX
ejpam-6382	374	9	characteristic	characteristic	ADJ
ejpam-6382	374	10	of	of	ADP
ejpam-6382	374	11	aging	age	VERB
ejpam-6382	374	12	systems	system	NOUN
ejpam-6382	374	13	or	or	CCONJ
ejpam-6382	374	14	biological	biological	ADJ
ejpam-6382	374	15	processes	process	NOUN
ejpam-6382	374	16	where	where	SCONJ
ejpam-6382	374	17	the	the	DET
ejpam-6382	374	18	risk	risk	NOUN
ejpam-6382	374	19	escalates	escalate	VERB
ejpam-6382	374	20	with	with	ADP
ejpam-6382	374	21	time	time	NOUN
ejpam-6382	374	22	,	,	PUNCT
ejpam-6382	374	23	and	and	CCONJ
ejpam-6382	374	24	it	it	PRON
ejpam-6382	374	25	is	be	AUX
ejpam-6382	374	26	crucial	crucial	ADJ
ejpam-6382	374	27	to	to	PART
ejpam-6382	374	28	adopt	adopt	VERB
ejpam-6382	374	29	a	a	DET
ejpam-6382	374	30	distribution	distribution	NOUN
ejpam-6382	374	31	that	that	PRON
ejpam-6382	374	32	captures	capture	VERB
ejpam-6382	374	33	this	this	DET
ejpam-6382	374	34	dynamic	dynamic	ADJ
ejpam-6382	374	35	behavior	behavior	NOUN
ejpam-6382	374	36	.	.	PUNCT
ejpam-6382	375	1	the	the	DET
ejpam-6382	375	2	lbdfw	lbdfw	ADJ
ejpam-6382	375	3	distribution	distribution	NOUN
ejpam-6382	375	4	,	,	PUNCT
ejpam-6382	375	5	by	by	ADP
ejpam-6382	375	6	construction	construction	NOUN
ejpam-6382	375	7	,	,	PUNCT
ejpam-6382	375	8	accommodates	accommodate	VERB
ejpam-6382	375	9	increasing	increase	VERB
ejpam-6382	375	10	hazard	hazard	NOUN
ejpam-6382	375	11	rates	rate	NOUN
ejpam-6382	375	12	through	through	ADP
ejpam-6382	375	13	its	its	PRON
ejpam-6382	375	14	flexible	flexible	ADJ
ejpam-6382	375	15	parameterization	parameterization	NOUN
ejpam-6382	375	16	.	.	PUNCT
ejpam-6382	376	1	therefore	therefore	ADV
ejpam-6382	376	2	,	,	PUNCT
ejpam-6382	376	3	the	the	DET
ejpam-6382	376	4	observed	observed	ADJ
ejpam-6382	376	5	concavity	concavity	NOUN
ejpam-6382	376	6	in	in	ADP
ejpam-6382	376	7	the	the	DET
ejpam-6382	376	8	ttt	ttt	PROPN
ejpam-6382	376	9	plot	plot	NOUN
ejpam-6382	376	10	offers	offer	VERB
ejpam-6382	376	11	strong	strong	ADJ
ejpam-6382	376	12	empirical	empirical	ADJ
ejpam-6382	376	13	justification	justification	NOUN
ejpam-6382	376	14	for	for	ADP
ejpam-6382	376	15	the	the	DET
ejpam-6382	376	16	appropriateness	appropriateness	NOUN
ejpam-6382	376	17	of	of	ADP
ejpam-6382	376	18	the	the	DET
ejpam-6382	376	19	lbdfw	lbdfw	ADJ
ejpam-6382	376	20	model	model	NOUN
ejpam-6382	376	21	in	in	ADP
ejpam-6382	376	22	fitting	fitting	ADJ
ejpam-6382	376	23	dataset	dataset	ADJ
ejpam-6382	376	24	i.	i.	NOUN
ejpam-6382	376	25	this	this	PRON
ejpam-6382	376	26	supports	support	VERB
ejpam-6382	376	27	the	the	DET
ejpam-6382	376	28	selection	selection	NOUN
ejpam-6382	376	29	of	of	ADP
ejpam-6382	376	30	the	the	DET
ejpam-6382	376	31	lbdfw	lbdfw	ADJ
ejpam-6382	376	32	model	model	NOUN
ejpam-6382	376	33	as	as	ADP
ejpam-6382	376	34	a	a	DET
ejpam-6382	376	35	robust	robust	ADJ
ejpam-6382	376	36	candidate	candidate	NOUN
ejpam-6382	376	37	for	for	ADP
ejpam-6382	376	38	modeling	model	VERB
ejpam-6382	376	39	time	time	NOUN
ejpam-6382	376	40	-	-	PUNCT
ejpam-6382	376	41	to	to	ADP
ejpam-6382	376	42	-	-	PUNCT
ejpam-6382	376	43	event	event	NOUN
ejpam-6382	376	44	or	or	CCONJ
ejpam-6382	376	45	count	count	VERB
ejpam-6382	376	46	data	datum	NOUN
ejpam-6382	376	47	that	that	PRON
ejpam-6382	376	48	exhibits	exhibit	VERB
ejpam-6382	376	49	an	an	DET
ejpam-6382	376	50	increasing	increase	VERB
ejpam-6382	376	51	risk	risk	NOUN
ejpam-6382	376	52	profile	profile	NOUN
ejpam-6382	376	53	.	.	PUNCT
ejpam-6382	377	1	in	in	ADP
ejpam-6382	377	2	table	table	NOUN
ejpam-6382	377	3	4	4	NUM
ejpam-6382	377	4	,	,	PUNCT
ejpam-6382	377	5	the	the	DET
ejpam-6382	377	6	mles	mle	NOUN
ejpam-6382	377	7	of	of	ADP
ejpam-6382	377	8	the	the	DET
ejpam-6382	377	9	model	model	NOUN
ejpam-6382	377	10	parameters	parameter	NOUN
ejpam-6382	377	11	are	be	AUX
ejpam-6382	377	12	reported	report	VERB
ejpam-6382	377	13	along	along	ADP
ejpam-6382	377	14	with	with	ADP
ejpam-6382	377	15	their	their	PRON
ejpam-6382	377	16	corresponding	corresponding	ADJ
ejpam-6382	377	17	standard	standard	ADJ
ejpam-6382	377	18	errors	error	NOUN
ejpam-6382	377	19	(	(	PUNCT
ejpam-6382	377	20	ses	ses	PROPN
ejpam-6382	377	21	)	)	PUNCT
ejpam-6382	377	22	and	and	CCONJ
ejpam-6382	377	23	95	95	NUM
ejpam-6382	377	24	%	%	NOUN
ejpam-6382	377	25	confidence	confidence	NOUN
ejpam-6382	377	26	intervals	interval	NOUN
ejpam-6382	377	27	for	for	ADP
ejpam-6382	377	28	all	all	DET
ejpam-6382	377	29	models	model	NOUN
ejpam-6382	377	30	fitted	fit	VERB
ejpam-6382	377	31	to	to	PART
ejpam-6382	377	32	dataset	dataset	VERB
ejpam-6382	377	33	i.	i.	NOUN
ejpam-6382	377	34	these	these	DET
ejpam-6382	377	35	results	result	NOUN
ejpam-6382	377	36	provide	provide	VERB
ejpam-6382	377	37	insights	insight	NOUN
ejpam-6382	377	38	into	into	ADP
ejpam-6382	377	39	the	the	DET
ejpam-6382	377	40	precision	precision	NOUN
ejpam-6382	377	41	and	and	CCONJ
ejpam-6382	377	42	reliability	reliability	NOUN
ejpam-6382	377	43	of	of	ADP
ejpam-6382	377	44	the	the	DET
ejpam-6382	377	45	parameter	parameter	NOUN
ejpam-6382	377	46	estimates	estimate	NOUN
ejpam-6382	377	47	across	across	ADP
ejpam-6382	377	48	the	the	DET
ejpam-6382	377	49	considered	consider	VERB
ejpam-6382	377	50	models	model	NOUN
ejpam-6382	377	51	.	.	PUNCT
ejpam-6382	378	1	furthermore	furthermore	ADV
ejpam-6382	378	2	,	,	PUNCT
ejpam-6382	378	3	table	table	NOUN
ejpam-6382	378	4	5	5	NUM
ejpam-6382	378	5	presents	present	VERB
ejpam-6382	378	6	a	a	DET
ejpam-6382	378	7	comprehensive	comprehensive	ADJ
ejpam-6382	378	8	summary	summary	NOUN
ejpam-6382	378	9	of	of	ADP
ejpam-6382	378	10	the	the	DET
ejpam-6382	378	11	goodness	goodness	NOUN
ejpam-6382	378	12	-	-	PUNCT
ejpam-6382	378	13	of	of	ADP
ejpam-6382	378	14	-	-	PUNCT
ejpam-6382	378	15	fit	fit	ADJ
ejpam-6382	378	16	statistics	statistic	NOUN
ejpam-6382	378	17	.	.	PUNCT
ejpam-6382	379	1	these	these	DET
ejpam-6382	379	2	measures	measure	NOUN
ejpam-6382	379	3	facilitate	facilitate	VERB
ejpam-6382	379	4	a	a	DET
ejpam-6382	379	5	comparative	comparative	ADJ
ejpam-6382	379	6	evaluation	evaluation	NOUN
ejpam-6382	379	7	of	of	ADP
ejpam-6382	379	8	the	the	DET
ejpam-6382	379	9	models	model	NOUN
ejpam-6382	379	10	and	and	CCONJ
ejpam-6382	379	11	help	help	AUX
ejpam-6382	379	12	identify	identify	VERB
ejpam-6382	379	13	the	the	DET
ejpam-6382	379	14	one	one	NOUN
ejpam-6382	379	15	that	that	PRON
ejpam-6382	379	16	best	well	ADV
ejpam-6382	379	17	captures	capture	VERB
ejpam-6382	379	18	the	the	DET
ejpam-6382	379	19	underlying	underlie	VERB
ejpam-6382	379	20	structure	structure	NOUN
ejpam-6382	379	21	of	of	ADP
ejpam-6382	379	22	the	the	DET
ejpam-6382	379	23	data	datum	NOUN
ejpam-6382	379	24	.	.	PUNCT
ejpam-6382	380	1	as	as	SCONJ
ejpam-6382	380	2	presented	present	VERB
ejpam-6382	380	3	in	in	ADP
ejpam-6382	380	4	table	table	NOUN
ejpam-6382	380	5	5	5	NUM
ejpam-6382	380	6	,	,	PUNCT
ejpam-6382	380	7	for	for	ADP
ejpam-6382	380	8	dataset	dataset	NOUN
ejpam-6382	380	9	i	i	PRON
ejpam-6382	380	10	,	,	PUNCT
ejpam-6382	380	11	the	the	DET
ejpam-6382	380	12	lbdfw	lbdfw	ADJ
ejpam-6382	380	13	distribution	distribution	NOUN
ejpam-6382	380	14	yields	yield	VERB
ejpam-6382	380	15	the	the	DET
ejpam-6382	380	16	highest	high	ADJ
ejpam-6382	380	17	p	p	NOUN
ejpam-6382	380	18	-	-	PUNCT
ejpam-6382	380	19	value	value	NOUN
ejpam-6382	380	20	among	among	ADP
ejpam-6382	380	21	all	all	DET
ejpam-6382	380	22	competing	compete	VERB
ejpam-6382	380	23	models	model	NOUN
ejpam-6382	380	24	,	,	PUNCT
ejpam-6382	380	25	along	along	ADP
ejpam-6382	380	26	with	with	ADP
ejpam-6382	380	27	the	the	DET
ejpam-6382	380	28	lowest	low	ADJ
ejpam-6382	380	29	value	value	NOUN
ejpam-6382	380	30	of	of	ADP
ejpam-6382	380	31	the	the	DET
ejpam-6382	380	32	cramér	cramér	PROPN
ejpam-6382	380	33	-	-	PUNCT
ejpam-6382	380	34	von	von	PROPN
ejpam-6382	380	35	mises	mises	PROPN
ejpam-6382	380	36	statistic	statistic	PROPN
ejpam-6382	380	37	d.	d.	PROPN
ejpam-6382	380	38	das	das	PROPN
ejpam-6382	380	39	et	et	PROPN
ejpam-6382	380	40	al	al	PROPN
ejpam-6382	380	41	.	.	PUNCT
ejpam-6382	380	42	/	/	SYM
ejpam-6382	380	43	eur	eur	PROPN
ejpam-6382	380	44	.	.	PUNCT
ejpam-6382	381	1	j.	j.	PROPN
ejpam-6382	381	2	pure	pure	PROPN
ejpam-6382	381	3	appl	appl	PROPN
ejpam-6382	381	4	.	.	PROPN
ejpam-6382	381	5	math	math	PROPN
ejpam-6382	381	6	,	,	PUNCT
ejpam-6382	381	7	18	18	NUM
ejpam-6382	381	8	(	(	PUNCT
ejpam-6382	381	9	3	3	NUM
ejpam-6382	381	10	)	)	PUNCT
ejpam-6382	381	11	(	(	PUNCT
ejpam-6382	381	12	2025	2025	NUM
ejpam-6382	381	13	)	)	PUNCT
ejpam-6382	381	14	,	,	PUNCT
ejpam-6382	381	15	6382	6382	NUM
ejpam-6382	381	16	21	21	NUM
ejpam-6382	381	17	of	of	ADP
ejpam-6382	381	18	29	29	NUM
ejpam-6382	381	19	(	(	PUNCT
ejpam-6382	381	20	c	c	NOUN
ejpam-6382	381	21	)	)	PUNCT
ejpam-6382	381	22	.	.	PUNCT
ejpam-6382	382	1	these	these	DET
ejpam-6382	382	2	results	result	NOUN
ejpam-6382	382	3	indicate	indicate	VERB
ejpam-6382	382	4	that	that	SCONJ
ejpam-6382	382	5	the	the	DET
ejpam-6382	382	6	lbdfw	lbdfw	ADJ
ejpam-6382	382	7	model	model	NOUN
ejpam-6382	382	8	provides	provide	VERB
ejpam-6382	382	9	a	a	DET
ejpam-6382	382	10	superior	superior	ADJ
ejpam-6382	382	11	fit	fit	NOUN
ejpam-6382	382	12	to	to	ADP
ejpam-6382	382	13	the	the	DET
ejpam-6382	382	14	data	datum	NOUN
ejpam-6382	382	15	in	in	ADP
ejpam-6382	382	16	comparison	comparison	NOUN
ejpam-6382	382	17	to	to	ADP
ejpam-6382	382	18	the	the	DET
ejpam-6382	382	19	other	other	ADJ
ejpam-6382	382	20	four	four	NUM
ejpam-6382	382	21	considered	consider	VERB
ejpam-6382	382	22	distributions	distribution	NOUN
ejpam-6382	382	23	:	:	PUNCT
ejpam-6382	382	24	wdfw	wdfw	NOUN
ejpam-6382	382	25	,	,	PUNCT
ejpam-6382	382	26	dfw	dfw	PROPN
ejpam-6382	382	27	,	,	PUNCT
ejpam-6382	382	28	dgiw	dgiw	NOUN
ejpam-6382	382	29	,	,	PUNCT
ejpam-6382	382	30	and	and	CCONJ
ejpam-6382	382	31	dgw	dgw	PROPN
ejpam-6382	382	32	.	.	PROPN
ejpam-6382	383	1	further	further	PROPN
ejpam-6382	383	2	visual	visual	ADJ
ejpam-6382	383	3	support	support	NOUN
ejpam-6382	383	4	for	for	ADP
ejpam-6382	383	5	this	this	DET
ejpam-6382	383	6	conclusion	conclusion	NOUN
ejpam-6382	383	7	is	be	AUX
ejpam-6382	383	8	provided	provide	VERB
ejpam-6382	383	9	in	in	ADP
ejpam-6382	383	10	figure	figure	NOUN
ejpam-6382	383	11	5	5	NUM
ejpam-6382	383	12	,	,	PUNCT
ejpam-6382	383	13	where	where	SCONJ
ejpam-6382	383	14	the	the	DET
ejpam-6382	383	15	observed	observed	ADJ
ejpam-6382	383	16	versus	versus	ADP
ejpam-6382	383	17	estimated	estimate	VERB
ejpam-6382	383	18	frequency	frequency	NOUN
ejpam-6382	383	19	plots	plot	NOUN
ejpam-6382	383	20	for	for	ADP
ejpam-6382	383	21	all	all	DET
ejpam-6382	383	22	five	five	NUM
ejpam-6382	383	23	models	model	NOUN
ejpam-6382	383	24	are	be	AUX
ejpam-6382	383	25	depicted	depict	VERB
ejpam-6382	383	26	.	.	PUNCT
ejpam-6382	384	1	the	the	DET
ejpam-6382	384	2	lbdfw	lbdfw	ADJ
ejpam-6382	384	3	distribution	distribution	NOUN
ejpam-6382	384	4	demonstrates	demonstrate	VERB
ejpam-6382	384	5	close	close	ADJ
ejpam-6382	384	6	alignment	alignment	NOUN
ejpam-6382	384	7	with	with	ADP
ejpam-6382	384	8	the	the	DET
ejpam-6382	384	9	observed	observe	VERB
ejpam-6382	384	10	data	datum	NOUN
ejpam-6382	384	11	across	across	ADP
ejpam-6382	384	12	the	the	DET
ejpam-6382	384	13	entire	entire	ADJ
ejpam-6382	384	14	range	range	NOUN
ejpam-6382	384	15	.	.	PUNCT
ejpam-6382	385	1	additionally	additionally	ADV
ejpam-6382	385	2	,	,	PUNCT
ejpam-6382	385	3	figure	figure	VERB
ejpam-6382	385	4	6	6	NUM
ejpam-6382	385	5	displays	display	NOUN
ejpam-6382	385	6	the	the	DET
ejpam-6382	385	7	cdf	cdf	PROPN
ejpam-6382	385	8	,	,	PUNCT
ejpam-6382	385	9	quantile	quantile	NOUN
ejpam-6382	385	10	-	-	PUNCT
ejpam-6382	385	11	quantile	quantile	NOUN
ejpam-6382	385	12	(	(	PUNCT
ejpam-6382	385	13	q	q	NOUN
ejpam-6382	385	14	-	-	PUNCT
ejpam-6382	385	15	q	q	NOUN
ejpam-6382	385	16	)	)	PUNCT
ejpam-6382	385	17	,	,	PUNCT
ejpam-6382	385	18	and	and	CCONJ
ejpam-6382	385	19	probability	probability	NOUN
ejpam-6382	385	20	-	-	PUNCT
ejpam-6382	385	21	probability	probability	NOUN
ejpam-6382	385	22	(	(	PUNCT
ejpam-6382	385	23	p	p	NOUN
ejpam-6382	385	24	-	-	PUNCT
ejpam-6382	385	25	p	p	NOUN
ejpam-6382	385	26	)	)	PUNCT
ejpam-6382	385	27	plots	plot	NOUN
ejpam-6382	385	28	for	for	ADP
ejpam-6382	385	29	dataset	dataset	NOUN
ejpam-6382	385	30	i	i	PRON
ejpam-6382	385	31	under	under	ADP
ejpam-6382	385	32	the	the	DET
ejpam-6382	385	33	lbdfwd	lbdfwd	PROPN
ejpam-6382	385	34	model	model	NOUN
ejpam-6382	385	35	.	.	PUNCT
ejpam-6382	386	1	these	these	DET
ejpam-6382	386	2	plots	plot	NOUN
ejpam-6382	386	3	serve	serve	VERB
ejpam-6382	386	4	as	as	ADP
ejpam-6382	386	5	graphical	graphical	ADJ
ejpam-6382	386	6	diagnostic	diagnostic	ADJ
ejpam-6382	386	7	tools	tool	NOUN
ejpam-6382	386	8	that	that	PRON
ejpam-6382	386	9	assess	assess	VERB
ejpam-6382	386	10	how	how	SCONJ
ejpam-6382	386	11	well	well	ADV
ejpam-6382	386	12	the	the	DET
ejpam-6382	386	13	theoretical	theoretical	ADJ
ejpam-6382	386	14	distribution	distribution	NOUN
ejpam-6382	386	15	matches	match	VERB
ejpam-6382	386	16	the	the	DET
ejpam-6382	386	17	empirical	empirical	ADJ
ejpam-6382	386	18	data	datum	NOUN
ejpam-6382	386	19	.	.	PUNCT
ejpam-6382	387	1	the	the	DET
ejpam-6382	387	2	strong	strong	ADJ
ejpam-6382	387	3	agreement	agreement	NOUN
ejpam-6382	387	4	seen	see	VERB
ejpam-6382	387	5	in	in	ADP
ejpam-6382	387	6	these	these	DET
ejpam-6382	387	7	plots	plot	NOUN
ejpam-6382	387	8	further	far	ADV
ejpam-6382	387	9	corroborates	corroborate	VERB
ejpam-6382	387	10	the	the	DET
ejpam-6382	387	11	superior	superior	ADJ
ejpam-6382	387	12	performance	performance	NOUN
ejpam-6382	387	13	of	of	ADP
ejpam-6382	387	14	the	the	DET
ejpam-6382	387	15	lbdfw	lbdfw	ADJ
ejpam-6382	387	16	model	model	NOUN
ejpam-6382	387	17	,	,	PUNCT
ejpam-6382	387	18	as	as	SCONJ
ejpam-6382	387	19	supported	support	VERB
ejpam-6382	387	20	by	by	ADP
ejpam-6382	387	21	the	the	DET
ejpam-6382	387	22	numerical	numerical	PROPN
ejpam-6382	387	23	goodness	goodness	PROPN
ejpam-6382	387	24	-	-	PUNCT
ejpam-6382	387	25	of	of	ADP
ejpam-6382	387	26	-	-	PUNCT
ejpam-6382	387	27	fit	fit	ADJ
ejpam-6382	387	28	measures	measure	NOUN
ejpam-6382	387	29	in	in	ADP
ejpam-6382	387	30	table	table	NOUN
ejpam-6382	387	31	5	5	NUM
ejpam-6382	387	32	.	.	PUNCT
ejpam-6382	387	33	table	table	NOUN
ejpam-6382	387	34	4	4	NUM
ejpam-6382	387	35	:	:	PUNCT
ejpam-6382	387	36	the	the	DET
ejpam-6382	387	37	mles	mle	NOUN
ejpam-6382	387	38	and	and	CCONJ
ejpam-6382	387	39	95	95	NUM
ejpam-6382	387	40	%	%	NOUN
ejpam-6382	387	41	confidence	confidence	NOUN
ejpam-6382	387	42	intervals	interval	NOUN
ejpam-6382	387	43	for	for	ADP
ejpam-6382	387	44	dataset	dataset	NOUN
ejpam-6382	387	45	i.	i.	NOUN
ejpam-6382	387	46	distribution	distribution	NOUN
ejpam-6382	387	47	estimates	estimate	NOUN
ejpam-6382	387	48	se	se	ADV
ejpam-6382	387	49	95	95	NUM
ejpam-6382	387	50	%	%	NOUN
ejpam-6382	387	51	ci	ci	PROPN
ejpam-6382	387	52	dgw	dgw	PROPN
ejpam-6382	387	53	α̂	α̂	NUM
ejpam-6382	387	54	=	=	SYM
ejpam-6382	387	55	2.6167	2.6167	NUM
ejpam-6382	387	56	α̂	α̂	NUM
ejpam-6382	387	57	=	=	SYM
ejpam-6382	387	58	0.1672	0.1672	NUM
ejpam-6382	387	59	(	(	PUNCT
ejpam-6382	387	60	2.2890	2.2890	NUM
ejpam-6382	387	61	,	,	PUNCT
ejpam-6382	387	62	2.9444	2.9444	NUM
ejpam-6382	387	63	)	)	PUNCT
ejpam-6382	387	64	β̂	β̂	PUNCT
ejpam-6382	388	1	=	=	PUNCT
ejpam-6382	388	2	3.5951	3.5951	NUM
ejpam-6382	388	3	β̂	β̂	X
ejpam-6382	389	1	=	=	SYM
ejpam-6382	389	2	4.0617	4.0617	NUM
ejpam-6382	389	3	(	(	PUNCT
ejpam-6382	389	4	-4.3658	-4.3658	NOUN
ejpam-6382	389	5	,	,	PUNCT
ejpam-6382	389	6	11.5560	11.5560	NUM
ejpam-6382	389	7	)	)	PUNCT
ejpam-6382	389	8	θ̂	θ̂	PUNCT
ejpam-6382	390	1	=	=	SYM
ejpam-6382	390	2	0.2492	0.2492	NUM
ejpam-6382	390	3	θ̂	θ̂	PUNCT
ejpam-6382	390	4	=	=	SYM
ejpam-6382	390	5	0.1449	0.1449	NUM
ejpam-6382	390	6	(	(	PUNCT
ejpam-6382	390	7	-0.0348	-0.0348	NOUN
ejpam-6382	390	8	,	,	PUNCT
ejpam-6382	390	9	0.5332	0.5332	NUM
ejpam-6382	390	10	)	)	PUNCT
ejpam-6382	390	11	dgiw	dgiw	NOUN
ejpam-6382	390	12	α̂	α̂	NUM
ejpam-6382	391	1	=	=	SYM
ejpam-6382	391	2	3.7597	3.7597	NUM
ejpam-6382	391	3	α̂	α̂	NUM
ejpam-6382	391	4	=	=	SYM
ejpam-6382	391	5	0.1004	0.1004	NUM
ejpam-6382	391	6	(	(	PUNCT
ejpam-6382	391	7	3.5629	3.5629	NUM
ejpam-6382	391	8	,	,	PUNCT
ejpam-6382	391	9	3.9565	3.9565	NUM
ejpam-6382	391	10	)	)	PUNCT
ejpam-6382	391	11	β̂	β̂	PUNCT
ejpam-6382	392	1	=	=	SYM
ejpam-6382	392	2	4.1752	4.1752	NUM
ejpam-6382	392	3	β̂	β̂	PUNCT
ejpam-6382	392	4	=	=	SYM
ejpam-6382	392	5	1.2340	1.2340	NUM
ejpam-6382	392	6	(	(	PUNCT
ejpam-6382	392	7	1.7566	1.7566	NUM
ejpam-6382	392	8	,	,	PUNCT
ejpam-6382	392	9	6.5938	6.5938	NUM
ejpam-6382	392	10	)	)	PUNCT
ejpam-6382	392	11	θ̂	θ̂	PUNCT
ejpam-6382	393	1	=	=	SYM
ejpam-6382	393	2	0.3425	0.3425	NUM
ejpam-6382	393	3	θ̂	θ̂	X
ejpam-6382	393	4	=	=	SYM
ejpam-6382	393	5	1.7677	1.7677	NUM
ejpam-6382	393	6	(	(	PUNCT
ejpam-6382	393	7	-3.1222	-3.1222	NOUN
ejpam-6382	393	8	,	,	PUNCT
ejpam-6382	393	9	3.8072	3.8072	NUM
ejpam-6382	393	10	)	)	PUNCT
ejpam-6382	393	11	dfw	dfw	NOUN
ejpam-6382	393	12	α̂	α̂	NUM
ejpam-6382	393	13	=	=	NOUN
ejpam-6382	393	14	0.1664	0.1664	NUM
ejpam-6382	393	15	α̂	α̂	NUM
ejpam-6382	394	1	=	=	SYM
ejpam-6382	394	2	0.6042	0.6042	NUM
ejpam-6382	394	3	(	(	PUNCT
ejpam-6382	394	4	-1.0178	-1.0178	ADJ
ejpam-6382	394	5	,	,	PUNCT
ejpam-6382	394	6	1.3506	1.3506	NUM
ejpam-6382	394	7	)	)	PUNCT
ejpam-6382	394	8	β̂	β̂	PUNCT
ejpam-6382	395	1	=	=	SYM
ejpam-6382	395	2	8.4490	8.4490	NUM
ejpam-6382	395	3	β̂	β̂	PUNCT
ejpam-6382	395	4	=	=	SYM
ejpam-6382	395	5	7.0008	7.0008	NUM
ejpam-6382	395	6	(	(	PUNCT
ejpam-6382	395	7	-5.2726	-5.2726	X
ejpam-6382	395	8	,	,	PUNCT
ejpam-6382	395	9	22.1706	22.1706	NUM
ejpam-6382	395	10	)	)	PUNCT
ejpam-6382	395	11	m̂	m̂	NOUN
ejpam-6382	396	1	=	=	SYM
ejpam-6382	396	2	10.5188	10.5188	NUM
ejpam-6382	396	3	m̂	m̂	X
ejpam-6382	397	1	=	=	SYM
ejpam-6382	397	2	9.9157	9.9157	NUM
ejpam-6382	397	3	(	(	PUNCT
ejpam-6382	397	4	-8.9160	-8.9160	NOUN
ejpam-6382	397	5	,	,	PUNCT
ejpam-6382	397	6	29.9536	29.9536	NUM
ejpam-6382	397	7	)	)	PUNCT
ejpam-6382	397	8	k̂	k̂	NOUN
ejpam-6382	398	1	=	=	SYM
ejpam-6382	398	2	14.5766	14.5766	NUM
ejpam-6382	398	3	k̂	k̂	X
ejpam-6382	398	4	=	=	SYM
ejpam-6382	398	5	8.4153	8.4153	NUM
ejpam-6382	398	6	(	(	PUNCT
ejpam-6382	398	7	-1.9174	-1.9174	PROPN
ejpam-6382	398	8	,	,	PUNCT
ejpam-6382	398	9	31.0706	31.0706	NUM
ejpam-6382	398	10	)	)	PUNCT
ejpam-6382	398	11	wdfw	wdfw	VERB
ejpam-6382	398	12	α̂	α̂	NUM
ejpam-6382	398	13	=	=	SYM
ejpam-6382	398	14	0.7007	0.7007	NUM
ejpam-6382	398	15	α̂	α̂	NUM
ejpam-6382	398	16	=	=	SYM
ejpam-6382	398	17	1.5877	1.5877	NUM
ejpam-6382	398	18	(	(	PUNCT
ejpam-6382	398	19	-2.4112	-2.4112	NOUN
ejpam-6382	398	20	,	,	PUNCT
ejpam-6382	398	21	3.8126	3.8126	NUM
ejpam-6382	398	22	)	)	PUNCT
ejpam-6382	398	23	β̂	β̂	PUNCT
ejpam-6382	399	1	=	=	PUNCT
ejpam-6382	399	2	6.0632	6.0632	NUM
ejpam-6382	399	3	β̂	β̂	X
ejpam-6382	399	4	=	=	SYM
ejpam-6382	400	1	1.9325	1.9325	NUM
ejpam-6382	400	2	(	(	PUNCT
ejpam-6382	400	3	2.2755	2.2755	NUM
ejpam-6382	400	4	,	,	PUNCT
ejpam-6382	400	5	9.8509	9.8509	NUM
ejpam-6382	400	6	)	)	PUNCT
ejpam-6382	400	7	m̂	m̂	X
ejpam-6382	401	1	=	=	PUNCT
ejpam-6382	401	2	9.5495	9.5495	NUM
ejpam-6382	401	3	m̂	m̂	X
ejpam-6382	402	1	=	=	SYM
ejpam-6382	402	2	1.8228	1.8228	NUM
ejpam-6382	402	3	(	(	PUNCT
ejpam-6382	402	4	5.9768	5.9768	NUM
ejpam-6382	402	5	,	,	PUNCT
ejpam-6382	402	6	13.1222	13.1222	NUM
ejpam-6382	402	7	)	)	PUNCT
ejpam-6382	402	8	k̂	k̂	NOUN
ejpam-6382	403	1	=	=	SYM
ejpam-6382	403	2	0.3089	0.3089	NUM
ejpam-6382	403	3	k̂	k̂	NOUN
ejpam-6382	403	4	=	=	SYM
ejpam-6382	403	5	1.6457	1.6457	NUM
ejpam-6382	403	6	(	(	PUNCT
ejpam-6382	403	7	-2.9167	-2.9167	NOUN
ejpam-6382	403	8	,	,	PUNCT
ejpam-6382	403	9	3.5345	3.5345	NUM
ejpam-6382	403	10	)	)	PUNCT
ejpam-6382	403	11	lbdfw	lbdfw	NOUN
ejpam-6382	403	12	α̂	α̂	NUM
ejpam-6382	404	1	=	=	SYM
ejpam-6382	404	2	0.5311	0.5311	NUM
ejpam-6382	404	3	α̂	α̂	NUM
ejpam-6382	404	4	=	=	SYM
ejpam-6382	404	5	0.7143	0.7143	X
ejpam-6382	404	6	(	(	PUNCT
ejpam-6382	404	7	-0.8689	-0.8689	NOUN
ejpam-6382	404	8	,	,	PUNCT
ejpam-6382	404	9	1.9311	1.9311	NUM
ejpam-6382	404	10	)	)	PUNCT
ejpam-6382	404	11	β̂	β̂	PUNCT
ejpam-6382	405	1	=	=	SYM
ejpam-6382	405	2	0.0115	0.0115	NUM
ejpam-6382	405	3	β̂	β̂	X
ejpam-6382	406	1	=	=	SYM
ejpam-6382	406	2	1.4641	1.4641	NUM
ejpam-6382	406	3	(	(	PUNCT
ejpam-6382	406	4	-2.8581	-2.8581	NOUN
ejpam-6382	406	5	,	,	PUNCT
ejpam-6382	406	6	2.8811	2.8811	NUM
ejpam-6382	406	7	)	)	PUNCT
ejpam-6382	406	8	m̂	m̂	X
ejpam-6382	407	1	=	=	SYM
ejpam-6382	407	2	0.3855	0.3855	NUM
ejpam-6382	407	3	m̂	m̂	NOUN
ejpam-6382	408	1	=	=	SYM
ejpam-6382	408	2	1.4981	1.4981	NUM
ejpam-6382	408	3	(	(	PUNCT
ejpam-6382	408	4	-2.5508	-2.5508	NOUN
ejpam-6382	408	5	,	,	PUNCT
ejpam-6382	408	6	3.3218	3.3218	NUM
ejpam-6382	408	7	)	)	PUNCT
ejpam-6382	408	8	k̂	k̂	X
ejpam-6382	408	9	=	=	PUNCT
ejpam-6382	409	1	0.1854	0.1854	NUM
ejpam-6382	409	2	k̂	k̂	NOUN
ejpam-6382	409	3	=	=	PUNCT
ejpam-6382	409	4	0.5078	0.5078	NUM
ejpam-6382	409	5	(	(	PUNCT
ejpam-6382	409	6	-0.8099	-0.8099	NOUN
ejpam-6382	409	7	,	,	PUNCT
ejpam-6382	409	8	1.1807	1.1807	NUM
ejpam-6382	409	9	)	)	PUNCT
ejpam-6382	409	10	d.	d.	PROPN
ejpam-6382	409	11	das	das	PROPN
ejpam-6382	409	12	et	et	PROPN
ejpam-6382	409	13	al	al	PROPN
ejpam-6382	409	14	.	.	PUNCT
ejpam-6382	409	15	/	/	SYM
ejpam-6382	409	16	eur	eur	PROPN
ejpam-6382	409	17	.	.	PUNCT
ejpam-6382	410	1	j.	j.	PROPN
ejpam-6382	410	2	pure	pure	PROPN
ejpam-6382	410	3	appl	appl	PROPN
ejpam-6382	410	4	.	.	PROPN
ejpam-6382	410	5	math	math	PROPN
ejpam-6382	410	6	,	,	PUNCT
ejpam-6382	410	7	18	18	NUM
ejpam-6382	410	8	(	(	PUNCT
ejpam-6382	410	9	3	3	NUM
ejpam-6382	410	10	)	)	PUNCT
ejpam-6382	410	11	(	(	PUNCT
ejpam-6382	410	12	2025	2025	NUM
ejpam-6382	410	13	)	)	PUNCT
ejpam-6382	410	14	,	,	PUNCT
ejpam-6382	410	15	6382	6382	NUM
ejpam-6382	410	16	22	22	NUM
ejpam-6382	410	17	of	of	ADP
ejpam-6382	410	18	29	29	NUM
ejpam-6382	410	19	table	table	NOUN
ejpam-6382	410	20	5	5	NUM
ejpam-6382	410	21	:	:	PUNCT
ejpam-6382	410	22	summary	summary	NOUN
ejpam-6382	410	23	of	of	ADP
ejpam-6382	410	24	the	the	DET
ejpam-6382	410	25	goodness	goodness	NOUN
ejpam-6382	410	26	-	-	PUNCT
ejpam-6382	410	27	of	of	ADP
ejpam-6382	410	28	-	-	PUNCT
ejpam-6382	410	29	fit	fit	NOUN
ejpam-6382	410	30	criteria	criterion	NOUN
ejpam-6382	410	31	for	for	ADP
ejpam-6382	410	32	dataset	dataset	ADJ
ejpam-6382	410	33	i.	i.	NOUN
ejpam-6382	410	34	x	x	PROPN
ejpam-6382	410	35	observed	observe	VERB
ejpam-6382	410	36	expected	expect	VERB
ejpam-6382	410	37	frequency	frequency	NOUN
ejpam-6382	410	38	frequency	frequency	NOUN
ejpam-6382	410	39	dfw	dfw	PROPN
ejpam-6382	410	40	dgiw	dgiw	PROPN
ejpam-6382	410	41	dgw	dgw	PROPN
ejpam-6382	410	42	wdfw	wdfw	VERB
ejpam-6382	410	43	lbdfwd	lbdfwd	PROPN
ejpam-6382	410	44	0	0	NUM
ejpam-6382	410	45	0	0	NUM
ejpam-6382	411	1	1.35690	1.35690	NUM
ejpam-6382	411	2	1.31135	1.31135	NUM
ejpam-6382	411	3	1.30793	1.30793	NUM
ejpam-6382	411	4	0.87026	0.87026	NUM
ejpam-6382	411	5	0.00000	0.00000	NUM
ejpam-6382	411	6	1	1	NUM
ejpam-6382	411	7	2	2	NUM
ejpam-6382	411	8	1.64341	1.64341	NUM
ejpam-6382	411	9	1.44566	1.44566	NUM
ejpam-6382	411	10	3.53676	3.53676	NUM
ejpam-6382	411	11	2.48425	2.48425	NUM
ejpam-6382	411	12	1.33946	1.33946	NUM
ejpam-6382	411	13	2	2	NUM
ejpam-6382	411	14	4	4	NUM
ejpam-6382	411	15	2.15580	2.15580	NUM
ejpam-6382	411	16	2.51402	2.51402	NUM
ejpam-6382	411	17	4.98729	4.98729	NUM
ejpam-6382	411	18	5.68172	5.68172	NUM
ejpam-6382	411	19	2.05602	2.05602	NUM
ejpam-6382	411	20	3	3	NUM
ejpam-6382	411	21	3	3	NUM
ejpam-6382	411	22	2.77937	2.77937	NUM
ejpam-6382	411	23	3.15271	3.15271	NUM
ejpam-6382	411	24	6.84038	6.84038	NUM
ejpam-6382	411	25	8.53768	8.53768	NUM
ejpam-6382	411	26	4.27637	4.27637	NUM
ejpam-6382	411	27	4	4	NUM
ejpam-6382	411	28	5	5	NUM
ejpam-6382	411	29	4.17540	4.17540	NUM
ejpam-6382	411	30	5.47476	5.47476	NUM
ejpam-6382	411	31	9.68080	9.68080	NUM
ejpam-6382	411	32	11.30281	11.30281	NUM
ejpam-6382	411	33	6.55209	6.55209	NUM
ejpam-6382	411	34	5	5	NUM
ejpam-6382	411	35	8	8	NUM
ejpam-6382	411	36	6.06240	6.06240	NUM
ejpam-6382	411	37	7.53582	7.53582	NUM
ejpam-6382	411	38	13.51861	13.51861	NUM
ejpam-6382	411	39	13.04596	13.04596	NUM
ejpam-6382	411	40	10.37112	10.37112	NUM
ejpam-6382	411	41	6	6	NUM
ejpam-6382	411	42	16	16	NUM
ejpam-6382	411	43	7.26042	7.26042	NUM
ejpam-6382	411	44	9.39889	9.39889	NUM
ejpam-6382	411	45	17.99567	17.99567	NUM
ejpam-6382	411	46	14.79084	14.79084	NUM
ejpam-6382	411	47	16.36445	16.36445	NUM
ejpam-6382	411	48	7	7	NUM
ejpam-6382	411	49	13	13	NUM
ejpam-6382	411	50	7.71637	7.71637	NUM
ejpam-6382	411	51	12.79333	12.79333	NUM
ejpam-6382	411	52	16.61990	16.61990	NUM
ejpam-6382	411	53	15.54618	15.54618	NUM
ejpam-6382	411	54	16.04524	16.04524	NUM
ejpam-6382	411	55	8	8	NUM
ejpam-6382	411	56	12	12	NUM
ejpam-6382	411	57	9.88273	9.88273	NUM
ejpam-6382	411	58	14.05578	14.05578	NUM
ejpam-6382	411	59	15.12964	15.12964	NUM
ejpam-6382	411	60	14.31499	14.31499	NUM
ejpam-6382	411	61	15.71974	15.71974	NUM
ejpam-6382	411	62	9	9	NUM
ejpam-6382	411	63	13	13	NUM
ejpam-6382	411	64	11.78055	11.78055	NUM
ejpam-6382	411	65	14.21134	14.21134	NUM
ejpam-6382	411	66	12.58317	12.58317	NUM
ejpam-6382	411	67	12.09787	12.09787	NUM
ejpam-6382	411	68	14.59121	14.59121	NUM
ejpam-6382	411	69	10	10	NUM
ejpam-6382	411	70	15	15	NUM
ejpam-6382	411	71	12.38363	12.38363	NUM
ejpam-6382	411	72	13.45702	13.45702	NUM
ejpam-6382	411	73	9.56968	9.56968	NUM
ejpam-6382	411	74	10.09440	10.09440	NUM
ejpam-6382	411	75	12.26137	12.26137	NUM
ejpam-6382	411	76	11	11	NUM
ejpam-6382	411	77	15	15	NUM
ejpam-6382	411	78	12.07360	12.07360	NUM
ejpam-6382	411	79	11.72581	11.72581	NUM
ejpam-6382	411	80	8.97964	8.97964	NUM
ejpam-6382	411	81	8.50375	8.50375	NUM
ejpam-6382	411	82	10.23122	10.23122	NUM
ejpam-6382	411	83	12	12	NUM
ejpam-6382	411	84	9	9	NUM
ejpam-6382	411	85	11.25050	11.25050	NUM
ejpam-6382	411	86	9.90723	9.90723	NUM
ejpam-6382	411	87	6.24950	6.24950	NUM
ejpam-6382	411	88	7.52497	7.52497	NUM
ejpam-6382	411	89	8.57198	8.57198	NUM
ejpam-6382	411	90	13	13	NUM
ejpam-6382	411	91	9	9	NUM
ejpam-6382	411	92	10.20428	10.20428	NUM
ejpam-6382	411	93	8.83889	8.83889	NUM
ejpam-6382	411	94	5.81230	5.81230	NUM
ejpam-6382	411	95	6.35707	6.35707	NUM
ejpam-6382	411	96	7.64339	7.64339	NUM
ejpam-6382	411	97	14	14	NUM
ejpam-6382	411	98	7	7	NUM
ejpam-6382	411	99	9.11190	9.11190	NUM
ejpam-6382	411	100	7.23774	7.23774	NUM
ejpam-6382	411	101	4.97685	4.97685	NUM
ejpam-6382	411	102	5.19915	5.19915	NUM
ejpam-6382	411	103	6.20132	6.20132	NUM
ejpam-6382	411	104	15	15	NUM
ejpam-6382	411	105	4	4	NUM
ejpam-6382	411	106	8.06855	8.06855	NUM
ejpam-6382	411	107	6.01129	6.01129	NUM
ejpam-6382	411	108	3.64316	3.64316	NUM
ejpam-6382	411	109	4.05033	4.05033	NUM
ejpam-6382	411	110	5.11563	5.11563	NUM
ejpam-6382	411	111	16	16	NUM
ejpam-6382	411	112	4	4	NUM
ejpam-6382	411	113	7.11835	7.11835	NUM
ejpam-6382	411	114	5.09169	5.09169	NUM
ejpam-6382	411	115	2.47773	2.47773	NUM
ejpam-6382	411	116	2.90984	2.90984	NUM
ejpam-6382	411	117	4.08875	4.08875	NUM
ejpam-6382	411	118	17	17	NUM
ejpam-6382	411	119	6	6	NUM
ejpam-6382	411	120	6.27621	6.27621	NUM
ejpam-6382	411	121	4.65679	4.65679	NUM
ejpam-6382	411	122	1.67329	1.67329	NUM
ejpam-6382	411	123	2.47697	2.47697	NUM
ejpam-6382	411	124	3.06274	3.06274	NUM
ejpam-6382	411	125	18	18	NUM
ejpam-6382	411	126	2	2	NUM
ejpam-6382	411	127	5.54159	5.54159	NUM
ejpam-6382	411	128	3.88119	3.88119	NUM
ejpam-6382	411	129	1.54194	1.54194	NUM
ejpam-6382	411	130	1.65110	1.65110	NUM
ejpam-6382	411	131	2.03761	2.03761	NUM
ejpam-6382	411	132	19	19	NUM
ejpam-6382	411	133	0	0	NUM
ejpam-6382	411	134	4.90656	4.90656	NUM
ejpam-6382	411	135	3.02065	3.02065	NUM
ejpam-6382	411	136	1.12539	1.12539	NUM
ejpam-6382	411	137	1.53166	1.53166	NUM
ejpam-6382	411	138	1.41331	1.41331	NUM
ejpam-6382	411	139	20	20	NUM
ejpam-6382	411	140	2	2	NUM
ejpam-6382	411	141	4.36025	4.36025	NUM
ejpam-6382	411	142	2.38055	2.38055	NUM
ejpam-6382	411	143	1.18747	1.18747	NUM
ejpam-6382	411	144	0.71814	0.71814	NUM
ejpam-6382	411	145	1.08984	1.08984	NUM
ejpam-6382	411	146	21	21	NUM
ejpam-6382	411	147	1	1	NUM
ejpam-6382	411	148	3.89123	3.89123	NUM
ejpam-6382	411	149	1.89749	1.89749	NUM
ejpam-6382	411	150	0.56290	0.56290	NUM
ejpam-6382	411	151	0.31007	0.31007	NUM
ejpam-6382	411	152	0.96714	0.96714	NUM
ejpam-6382	411	153	n	n	DET
ejpam-6382	411	154	150	150	NUM
ejpam-6382	411	155	150	150	NUM
ejpam-6382	411	156	150	150	NUM
ejpam-6382	411	157	150	150	NUM
ejpam-6382	411	158	150	150	NUM
ejpam-6382	411	159	150	150	NUM
ejpam-6382	411	160	log	log	NOUN
ejpam-6382	411	161	l	l	NOUN
ejpam-6382	411	162	792.4160	792.4160	NUM
ejpam-6382	411	163	767.2430	767.2430	PROPN
ejpam-6382	411	164	784.7434	784.7434	NUM
ejpam-6382	411	165	752.5601	752.5601	NUM
ejpam-6382	411	166	751.6274	751.6274	NUM
ejpam-6382	411	167	χ2	χ2	NOUN
ejpam-6382	411	168	34.8988	34.8988	NUM
ejpam-6382	411	169	28.9782	28.9782	NUM
ejpam-6382	411	170	20.1133	20.1133	NUM
ejpam-6382	411	171	14.6939	14.6939	NUM
ejpam-6382	411	172	10.4474	10.4474	NUM
ejpam-6382	411	173	df	df	NOUN
ejpam-6382	411	174	13	13	NUM
ejpam-6382	411	175	14	14	NUM
ejpam-6382	411	176	11	11	NUM
ejpam-6382	411	177	12	12	NUM
ejpam-6382	411	178	11	11	NUM
ejpam-6382	411	179	p	p	ADJ
ejpam-6382	411	180	-	-	PUNCT
ejpam-6382	411	181	value	value	NOUN
ejpam-6382	411	182	0.0009	0.0009	NUM
ejpam-6382	411	183	0.0105	0.0105	NUM
ejpam-6382	411	184	0.0438	0.0438	NUM
ejpam-6382	411	185	0.2586	0.2586	NUM
ejpam-6382	411	186	0.4906	0.4906	NUM
ejpam-6382	411	187	c	c	NOUN
ejpam-6382	411	188	0.2327	0.2327	NUM
ejpam-6382	411	189	0.1932	0.1932	NUM
ejpam-6382	411	190	0.1341	0.1341	NUM
ejpam-6382	411	191	0.0979	0.0979	NUM
ejpam-6382	411	192	0.0696	0.0696	NUM
ejpam-6382	411	193	figure	figure	NOUN
ejpam-6382	411	194	5	5	NUM
ejpam-6382	411	195	:	:	PUNCT
ejpam-6382	411	196	comparison	comparison	NOUN
ejpam-6382	411	197	of	of	ADP
ejpam-6382	411	198	observed	observed	ADJ
ejpam-6382	411	199	and	and	CCONJ
ejpam-6382	411	200	estimated	estimated	ADJ
ejpam-6382	411	201	frequency	frequency	NOUN
ejpam-6382	411	202	distributions	distribution	NOUN
ejpam-6382	411	203	for	for	ADP
ejpam-6382	411	204	dataset	dataset	PROPN
ejpam-6382	411	205	i.	i.	PROPN
ejpam-6382	411	206	d.	d.	PROPN
ejpam-6382	411	207	das	das	PROPN
ejpam-6382	411	208	et	et	PROPN
ejpam-6382	411	209	al	al	PROPN
ejpam-6382	411	210	.	.	PUNCT
ejpam-6382	411	211	/	/	SYM
ejpam-6382	411	212	eur	eur	PROPN
ejpam-6382	411	213	.	.	PUNCT
ejpam-6382	412	1	j.	j.	PROPN
ejpam-6382	412	2	pure	pure	PROPN
ejpam-6382	412	3	appl	appl	PROPN
ejpam-6382	412	4	.	.	PROPN
ejpam-6382	412	5	math	math	PROPN
ejpam-6382	412	6	,	,	PUNCT
ejpam-6382	412	7	18	18	NUM
ejpam-6382	412	8	(	(	PUNCT
ejpam-6382	412	9	3	3	NUM
ejpam-6382	412	10	)	)	PUNCT
ejpam-6382	412	11	(	(	PUNCT
ejpam-6382	412	12	2025	2025	NUM
ejpam-6382	412	13	)	)	PUNCT
ejpam-6382	412	14	,	,	PUNCT
ejpam-6382	412	15	6382	6382	NUM
ejpam-6382	412	16	23	23	NUM
ejpam-6382	412	17	of	of	ADP
ejpam-6382	412	18	29	29	NUM
ejpam-6382	412	19	figure	figure	NOUN
ejpam-6382	412	20	6	6	NUM
ejpam-6382	412	21	:	:	PUNCT
ejpam-6382	412	22	the	the	DET
ejpam-6382	412	23	q	q	NOUN
ejpam-6382	412	24	-	-	PUNCT
ejpam-6382	412	25	q	q	NOUN
ejpam-6382	412	26	,	,	PUNCT
ejpam-6382	412	27	p	p	NOUN
ejpam-6382	412	28	-	-	PUNCT
ejpam-6382	412	29	p	p	NOUN
ejpam-6382	412	30	and	and	CCONJ
ejpam-6382	412	31	cdf	cdf	NOUN
ejpam-6382	412	32	plots	plot	NOUN
ejpam-6382	412	33	for	for	ADP
ejpam-6382	412	34	dataset	dataset	NOUN
ejpam-6382	412	35	i	i	PRON
ejpam-6382	412	36	using	use	VERB
ejpam-6382	412	37	lbdfw	lbdfw	PROPN
ejpam-6382	412	38	model	model	NOUN
ejpam-6382	412	39	.	.	PUNCT
ejpam-6382	413	1	7.2	7.2	NUM
ejpam-6382	413	2	.	.	PUNCT
ejpam-6382	413	3	application	application	NOUN
ejpam-6382	413	4	ii	ii	PROPN
ejpam-6382	413	5	:	:	PUNCT
ejpam-6382	413	6	rifle	rifle	NOUN
ejpam-6382	413	7	shots	shot	VERB
ejpam-6382	413	8	dataset	dataset	VERB
ejpam-6382	413	9	the	the	DET
ejpam-6382	413	10	second	second	ADJ
ejpam-6382	413	11	dataset	dataset	NOUN
ejpam-6382	413	12	,	,	PUNCT
ejpam-6382	413	13	originally	originally	ADV
ejpam-6382	413	14	presented	present	VERB
ejpam-6382	413	15	in	in	ADP
ejpam-6382	413	16	déniz	déniz	PROPN
ejpam-6382	413	17	et	et	PROPN
ejpam-6382	413	18	al	al	PROPN
ejpam-6382	413	19	.	.	PUNCT
ejpam-6382	414	1	[	[	X
ejpam-6382	414	2	1	1	NUM
ejpam-6382	414	3	]	]	PUNCT
ejpam-6382	414	4	,	,	PUNCT
ejpam-6382	414	5	consists	consist	VERB
ejpam-6382	414	6	of	of	ADP
ejpam-6382	414	7	the	the	DET
ejpam-6382	414	8	number	number	NOUN
ejpam-6382	414	9	of	of	ADP
ejpam-6382	414	10	successful	successful	ADJ
ejpam-6382	414	11	hits	hit	NOUN
ejpam-6382	414	12	from	from	ADP
ejpam-6382	414	13	ten	ten	NUM
ejpam-6382	414	14	rifle	rifle	NOUN
ejpam-6382	414	15	shots	shot	NOUN
ejpam-6382	414	16	aimed	aim	VERB
ejpam-6382	414	17	at	at	ADP
ejpam-6382	414	18	each	each	PRON
ejpam-6382	414	19	of	of	ADP
ejpam-6382	414	20	100	100	NUM
ejpam-6382	414	21	targets	target	NOUN
ejpam-6382	414	22	.	.	PUNCT
ejpam-6382	415	1	this	this	PRON
ejpam-6382	415	2	yields	yield	VERB
ejpam-6382	415	3	a	a	DET
ejpam-6382	415	4	total	total	NOUN
ejpam-6382	415	5	of	of	ADP
ejpam-6382	415	6	100	100	NUM
ejpam-6382	415	7	observations	observation	NOUN
ejpam-6382	415	8	and	and	CCONJ
ejpam-6382	415	9	is	be	AUX
ejpam-6382	415	10	displayed	display	VERB
ejpam-6382	415	11	in	in	ADP
ejpam-6382	415	12	table	table	NOUN
ejpam-6382	415	13	6	6	NUM
ejpam-6382	415	14	.	.	PUNCT
ejpam-6382	415	15	table	table	NOUN
ejpam-6382	415	16	6	6	NUM
ejpam-6382	415	17	:	:	PUNCT
ejpam-6382	415	18	the	the	DET
ejpam-6382	415	19	results	result	NOUN
ejpam-6382	415	20	of	of	ADP
ejpam-6382	415	21	ten	ten	NUM
ejpam-6382	415	22	shots	shot	NOUN
ejpam-6382	415	23	fired	fire	VERB
ejpam-6382	415	24	a	a	DET
ejpam-6382	415	25	rifle	rifle	NOUN
ejpam-6382	415	26	at	at	ADP
ejpam-6382	415	27	each	each	PRON
ejpam-6382	415	28	of	of	ADP
ejpam-6382	415	29	100	100	NUM
ejpam-6382	415	30	targets	target	NOUN
ejpam-6382	415	31	.	.	PUNCT
ejpam-6382	416	1	y	y	NOUN
ejpam-6382	416	2	0	0	NUM
ejpam-6382	416	3	1	1	NUM
ejpam-6382	416	4	2	2	NUM
ejpam-6382	416	5	3	3	NUM
ejpam-6382	416	6	4	4	NUM
ejpam-6382	416	7	5	5	NUM
ejpam-6382	416	8	6	6	NUM
ejpam-6382	416	9	7	7	NUM
ejpam-6382	416	10	8	8	NUM
ejpam-6382	416	11	9	9	NUM
ejpam-6382	416	12	10	10	NUM
ejpam-6382	416	13	total	total	ADJ
ejpam-6382	416	14	frequency	frequency	NOUN
ejpam-6382	416	15	0	0	NUM
ejpam-6382	416	16	2	2	NUM
ejpam-6382	416	17	4	4	NUM
ejpam-6382	416	18	10	10	NUM
ejpam-6382	416	19	22	22	NUM
ejpam-6382	416	20	26	26	NUM
ejpam-6382	416	21	18	18	NUM
ejpam-6382	416	22	12	12	NUM
ejpam-6382	416	23	4	4	NUM
ejpam-6382	416	24	2	2	NUM
ejpam-6382	416	25	0	0	NUM
ejpam-6382	416	26	100	100	NUM
ejpam-6382	416	27	an	an	DET
ejpam-6382	416	28	important	important	ADJ
ejpam-6382	416	29	initial	initial	ADJ
ejpam-6382	416	30	observation	observation	NOUN
ejpam-6382	416	31	is	be	AUX
ejpam-6382	416	32	the	the	DET
ejpam-6382	416	33	absence	absence	NOUN
ejpam-6382	416	34	of	of	ADP
ejpam-6382	416	35	zeros	zero	NOUN
ejpam-6382	416	36	in	in	ADP
ejpam-6382	416	37	the	the	DET
ejpam-6382	416	38	data	datum	NOUN
ejpam-6382	416	39	,	,	PUNCT
ejpam-6382	416	40	i.e.	i.e.	X
ejpam-6382	416	41	,	,	PUNCT
ejpam-6382	416	42	the	the	DET
ejpam-6382	416	43	frequency	frequency	NOUN
ejpam-6382	416	44	for	for	ADP
ejpam-6382	416	45	the	the	DET
ejpam-6382	416	46	count	count	NOUN
ejpam-6382	416	47	value	value	NOUN
ejpam-6382	416	48	y	y	PROPN
ejpam-6382	416	49	=	=	SYM
ejpam-6382	416	50	0	0	NUM
ejpam-6382	416	51	is	be	AUX
ejpam-6382	416	52	zero	zero	NUM
ejpam-6382	416	53	.	.	PUNCT
ejpam-6382	417	1	this	this	DET
ejpam-6382	417	2	characteristic	characteristic	ADJ
ejpam-6382	417	3	aligns	align	VERB
ejpam-6382	417	4	well	well	ADV
ejpam-6382	417	5	with	with	ADP
ejpam-6382	417	6	the	the	DET
ejpam-6382	417	7	assumptions	assumption	NOUN
ejpam-6382	417	8	of	of	ADP
ejpam-6382	417	9	a	a	DET
ejpam-6382	417	10	length	length	NOUN
ejpam-6382	417	11	-	-	PUNCT
ejpam-6382	417	12	biased	biased	ADJ
ejpam-6382	417	13	distribution	distribution	NOUN
ejpam-6382	417	14	,	,	PUNCT
ejpam-6382	417	15	where	where	SCONJ
ejpam-6382	417	16	the	the	DET
ejpam-6382	417	17	probability	probability	NOUN
ejpam-6382	417	18	mass	mass	NOUN
ejpam-6382	417	19	at	at	ADP
ejpam-6382	417	20	zero	zero	NUM
ejpam-6382	417	21	is	be	AUX
ejpam-6382	417	22	typically	typically	ADV
ejpam-6382	417	23	zero	zero	NUM
ejpam-6382	417	24	or	or	CCONJ
ejpam-6382	417	25	negligible	negligible	ADJ
ejpam-6382	417	26	.	.	PUNCT
ejpam-6382	418	1	from	from	ADP
ejpam-6382	418	2	a	a	DET
ejpam-6382	418	3	descriptive	descriptive	ADJ
ejpam-6382	418	4	statistical	statistical	ADJ
ejpam-6382	418	5	perspective	perspective	NOUN
ejpam-6382	418	6	,	,	PUNCT
ejpam-6382	418	7	the	the	DET
ejpam-6382	418	8	dataset	dataset	NOUN
ejpam-6382	418	9	has	have	VERB
ejpam-6382	418	10	a	a	DET
ejpam-6382	418	11	mean	mean	NOUN
ejpam-6382	418	12	of	of	ADP
ejpam-6382	418	13	5.00	5.00	NUM
ejpam-6382	418	14	and	and	CCONJ
ejpam-6382	418	15	a	a	DET
ejpam-6382	418	16	variance	variance	NOUN
ejpam-6382	418	17	of	of	ADP
ejpam-6382	418	18	2.67	2.67	NUM
ejpam-6382	418	19	,	,	PUNCT
ejpam-6382	418	20	indicating	indicate	VERB
ejpam-6382	418	21	a	a	DET
ejpam-6382	418	22	clear	clear	ADJ
ejpam-6382	418	23	case	case	NOUN
ejpam-6382	418	24	of	of	ADP
ejpam-6382	418	25	underdispersion	underdispersion	NOUN
ejpam-6382	418	26	,	,	PUNCT
ejpam-6382	418	27	where	where	SCONJ
ejpam-6382	418	28	the	the	DET
ejpam-6382	418	29	spread	spread	NOUN
ejpam-6382	418	30	of	of	ADP
ejpam-6382	418	31	the	the	DET
ejpam-6382	418	32	data	data	NOUN
ejpam-6382	418	33	is	be	AUX
ejpam-6382	418	34	less	less	ADJ
ejpam-6382	418	35	than	than	SCONJ
ejpam-6382	418	36	expected	expect	VERB
ejpam-6382	418	37	under	under	ADP
ejpam-6382	418	38	a	a	DET
ejpam-6382	418	39	poisson	poisson	NOUN
ejpam-6382	418	40	framework	framework	NOUN
ejpam-6382	418	41	.	.	PUNCT
ejpam-6382	419	1	furthermore	furthermore	ADV
ejpam-6382	419	2	,	,	PUNCT
ejpam-6382	419	3	the	the	DET
ejpam-6382	419	4	kurtosis	kurtosis	NOUN
ejpam-6382	419	5	value	value	NOUN
ejpam-6382	419	6	of	of	ADP
ejpam-6382	419	7	2.96	2.96	NUM
ejpam-6382	419	8	,	,	PUNCT
ejpam-6382	419	9	being	be	AUX
ejpam-6382	419	10	less	less	ADJ
ejpam-6382	419	11	than	than	ADP
ejpam-6382	419	12	the	the	DET
ejpam-6382	419	13	normal	normal	ADJ
ejpam-6382	419	14	value	value	NOUN
ejpam-6382	419	15	of	of	ADP
ejpam-6382	419	16	3	3	NUM
ejpam-6382	419	17	,	,	PUNCT
ejpam-6382	419	18	indicates	indicate	VERB
ejpam-6382	419	19	a	a	DET
ejpam-6382	419	20	platykurtic	platykurtic	ADJ
ejpam-6382	419	21	distribution	distribution	NOUN
ejpam-6382	419	22	one	one	NOUN
ejpam-6382	419	23	with	with	ADP
ejpam-6382	419	24	lighter	light	ADJ
ejpam-6382	419	25	tails	tail	NOUN
ejpam-6382	419	26	than	than	ADP
ejpam-6382	419	27	the	the	DET
ejpam-6382	419	28	normal	normal	ADJ
ejpam-6382	419	29	distribution	distribution	NOUN
ejpam-6382	419	30	.	.	PUNCT
ejpam-6382	420	1	these	these	DET
ejpam-6382	420	2	statistical	statistical	ADJ
ejpam-6382	420	3	features	feature	NOUN
ejpam-6382	420	4	suggest	suggest	VERB
ejpam-6382	420	5	that	that	SCONJ
ejpam-6382	420	6	traditional	traditional	ADJ
ejpam-6382	420	7	discrete	discrete	ADJ
ejpam-6382	420	8	distributions	distribution	NOUN
ejpam-6382	420	9	,	,	PUNCT
ejpam-6382	420	10	such	such	ADJ
ejpam-6382	420	11	as	as	ADP
ejpam-6382	420	12	the	the	DET
ejpam-6382	420	13	poisson	poisson	NOUN
ejpam-6382	420	14	or	or	CCONJ
ejpam-6382	420	15	negative	negative	ADJ
ejpam-6382	420	16	binomial	binomial	ADJ
ejpam-6382	420	17	,	,	PUNCT
ejpam-6382	420	18	may	may	AUX
ejpam-6382	420	19	not	not	PART
ejpam-6382	420	20	adequately	adequately	ADV
ejpam-6382	420	21	capture	capture	VERB
ejpam-6382	420	22	the	the	DET
ejpam-6382	420	23	shape	shape	NOUN
ejpam-6382	420	24	d.	d.	PROPN
ejpam-6382	420	25	das	das	PROPN
ejpam-6382	420	26	et	et	PROPN
ejpam-6382	420	27	al	al	PROPN
ejpam-6382	421	1	.	.	PUNCT
ejpam-6382	421	2	/	/	SYM
ejpam-6382	421	3	eur	eur	PROPN
ejpam-6382	421	4	.	.	PUNCT
ejpam-6382	422	1	j.	j.	PROPN
ejpam-6382	422	2	pure	pure	PROPN
ejpam-6382	422	3	appl	appl	PROPN
ejpam-6382	422	4	.	.	PROPN
ejpam-6382	422	5	math	math	PROPN
ejpam-6382	422	6	,	,	PUNCT
ejpam-6382	422	7	18	18	NUM
ejpam-6382	422	8	(	(	PUNCT
ejpam-6382	422	9	3	3	NUM
ejpam-6382	422	10	)	)	PUNCT
ejpam-6382	422	11	(	(	PUNCT
ejpam-6382	422	12	2025	2025	NUM
ejpam-6382	422	13	)	)	PUNCT
ejpam-6382	422	14	,	,	PUNCT
ejpam-6382	422	15	6382	6382	NUM
ejpam-6382	422	16	24	24	NUM
ejpam-6382	422	17	of	of	ADP
ejpam-6382	422	18	29	29	NUM
ejpam-6382	422	19	and	and	CCONJ
ejpam-6382	422	20	dispersion	dispersion	NOUN
ejpam-6382	422	21	pattern	pattern	NOUN
ejpam-6382	422	22	present	present	ADJ
ejpam-6382	422	23	in	in	ADP
ejpam-6382	422	24	this	this	DET
ejpam-6382	422	25	dataset	dataset	NOUN
ejpam-6382	422	26	.	.	PUNCT
ejpam-6382	423	1	given	give	VERB
ejpam-6382	423	2	these	these	DET
ejpam-6382	423	3	distributional	distributional	ADJ
ejpam-6382	423	4	characteristics	characteristic	NOUN
ejpam-6382	423	5	underdispersion	underdispersion	NOUN
ejpam-6382	423	6	,	,	PUNCT
ejpam-6382	423	7	platykurtic	platykurtic	ADJ
ejpam-6382	423	8	behavior	behavior	NOUN
ejpam-6382	423	9	,	,	PUNCT
ejpam-6382	423	10	and	and	CCONJ
ejpam-6382	423	11	the	the	DET
ejpam-6382	423	12	absence	absence	NOUN
ejpam-6382	423	13	of	of	ADP
ejpam-6382	423	14	zero	zero	NUM
ejpam-6382	423	15	counts	count	NOUN
ejpam-6382	423	16	,	,	PUNCT
ejpam-6382	423	17	the	the	DET
ejpam-6382	423	18	lbdfw	lbdfw	ADJ
ejpam-6382	423	19	model	model	NOUN
ejpam-6382	423	20	emerges	emerge	VERB
ejpam-6382	423	21	as	as	ADP
ejpam-6382	423	22	a	a	DET
ejpam-6382	423	23	particularly	particularly	ADV
ejpam-6382	423	24	suitable	suitable	ADJ
ejpam-6382	423	25	candidate	candidate	NOUN
ejpam-6382	423	26	for	for	ADP
ejpam-6382	423	27	modeling	model	VERB
ejpam-6382	423	28	this	this	DET
ejpam-6382	423	29	dataset	dataset	NOUN
ejpam-6382	423	30	.	.	PUNCT
ejpam-6382	424	1	the	the	DET
ejpam-6382	424	2	flexibility	flexibility	NOUN
ejpam-6382	424	3	of	of	ADP
ejpam-6382	424	4	the	the	DET
ejpam-6382	424	5	lbdfw	lbdfw	ADJ
ejpam-6382	424	6	model	model	NOUN
ejpam-6382	424	7	in	in	ADP
ejpam-6382	424	8	accommodating	accommodate	VERB
ejpam-6382	424	9	light	light	ADJ
ejpam-6382	424	10	-	-	PUNCT
ejpam-6382	424	11	tailed	tail	VERB
ejpam-6382	424	12	distributions	distribution	NOUN
ejpam-6382	424	13	and	and	CCONJ
ejpam-6382	424	14	capturing	capture	VERB
ejpam-6382	424	15	reduced	reduced	ADJ
ejpam-6382	424	16	variability	variability	NOUN
ejpam-6382	424	17	enhances	enhance	VERB
ejpam-6382	424	18	its	its	PRON
ejpam-6382	424	19	applicability	applicability	NOUN
ejpam-6382	424	20	to	to	ADP
ejpam-6382	424	21	data	datum	NOUN
ejpam-6382	424	22	of	of	ADP
ejpam-6382	424	23	this	this	DET
ejpam-6382	424	24	nature	nature	NOUN
ejpam-6382	424	25	.	.	PUNCT
ejpam-6382	425	1	further	far	ADV
ejpam-6382	425	2	statistical	statistical	ADJ
ejpam-6382	425	3	fitting	fitting	NOUN
ejpam-6382	425	4	and	and	CCONJ
ejpam-6382	425	5	goodness	goodness	NOUN
ejpam-6382	425	6	-	-	PUNCT
ejpam-6382	425	7	of	of	ADP
ejpam-6382	425	8	-	-	PUNCT
ejpam-6382	425	9	fit	fit	ADJ
ejpam-6382	425	10	assessments	assessment	NOUN
ejpam-6382	425	11	reinforce	reinforce	VERB
ejpam-6382	425	12	the	the	DET
ejpam-6382	425	13	model	model	NOUN
ejpam-6382	425	14	’s	’s	PART
ejpam-6382	425	15	suitability	suitability	NOUN
ejpam-6382	425	16	,	,	PUNCT
ejpam-6382	425	17	as	as	SCONJ
ejpam-6382	425	18	will	will	AUX
ejpam-6382	425	19	be	be	AUX
ejpam-6382	425	20	demonstrated	demonstrate	VERB
ejpam-6382	425	21	in	in	ADP
ejpam-6382	425	22	subsequent	subsequent	ADJ
ejpam-6382	425	23	sections	section	NOUN
ejpam-6382	425	24	.	.	PUNCT
ejpam-6382	426	1	for	for	ADP
ejpam-6382	426	2	the	the	DET
ejpam-6382	426	3	second	second	ADJ
ejpam-6382	426	4	dataset	dataset	NOUN
ejpam-6382	426	5	,	,	PUNCT
ejpam-6382	426	6	a	a	DET
ejpam-6382	426	7	detailed	detailed	ADJ
ejpam-6382	426	8	analysis	analysis	NOUN
ejpam-6382	426	9	is	be	AUX
ejpam-6382	426	10	carried	carry	VERB
ejpam-6382	426	11	out	out	ADP
ejpam-6382	426	12	to	to	PART
ejpam-6382	426	13	assess	assess	VERB
ejpam-6382	426	14	the	the	DET
ejpam-6382	426	15	suitability	suitability	NOUN
ejpam-6382	426	16	of	of	ADP
ejpam-6382	426	17	the	the	DET
ejpam-6382	426	18	proposed	propose	VERB
ejpam-6382	426	19	model	model	NOUN
ejpam-6382	426	20	using	use	VERB
ejpam-6382	426	21	both	both	CCONJ
ejpam-6382	426	22	graphical	graphical	ADJ
ejpam-6382	426	23	and	and	CCONJ
ejpam-6382	426	24	numerical	numerical	ADJ
ejpam-6382	426	25	diagnostic	diagnostic	ADJ
ejpam-6382	426	26	tools	tool	NOUN
ejpam-6382	426	27	.	.	PUNCT
ejpam-6382	427	1	figure	figure	VERB
ejpam-6382	427	2	7	7	NUM
ejpam-6382	427	3	presents	present	VERB
ejpam-6382	427	4	the	the	DET
ejpam-6382	427	5	empirical	empirical	ADJ
ejpam-6382	427	6	and	and	CCONJ
ejpam-6382	427	7	fitted	fit	VERB
ejpam-6382	427	8	scaled	scale	VERB
ejpam-6382	427	9	ttt	ttt	PROPN
ejpam-6382	427	10	transform	transform	VERB
ejpam-6382	427	11	plots	plot	NOUN
ejpam-6382	427	12	alongside	alongside	ADP
ejpam-6382	427	13	the	the	DET
ejpam-6382	427	14	estimated	estimate	VERB
ejpam-6382	427	15	hrf	hrf	PROPN
ejpam-6382	427	16	.	.	PUNCT
ejpam-6382	428	1	the	the	DET
ejpam-6382	428	2	observed	observed	ADJ
ejpam-6382	428	3	concavity	concavity	NOUN
ejpam-6382	428	4	in	in	ADP
ejpam-6382	428	5	both	both	CCONJ
ejpam-6382	428	6	empirical	empirical	ADJ
ejpam-6382	428	7	and	and	CCONJ
ejpam-6382	428	8	fitted	fit	VERB
ejpam-6382	428	9	scaled	scale	VERB
ejpam-6382	428	10	ttt	ttt	PROPN
ejpam-6382	428	11	curves	curve	NOUN
ejpam-6382	428	12	suggests	suggest	VERB
ejpam-6382	428	13	that	that	SCONJ
ejpam-6382	428	14	the	the	DET
ejpam-6382	428	15	underlying	underlie	VERB
ejpam-6382	428	16	hazard	hazard	NOUN
ejpam-6382	428	17	rate	rate	NOUN
ejpam-6382	428	18	is	be	AUX
ejpam-6382	428	19	increasing	increase	VERB
ejpam-6382	428	20	.	.	PUNCT
ejpam-6382	429	1	according	accord	VERB
ejpam-6382	429	2	to	to	ADP
ejpam-6382	429	3	the	the	DET
ejpam-6382	429	4	result	result	NOUN
ejpam-6382	429	5	by	by	ADP
ejpam-6382	429	6	aarset	aarset	NOUN
ejpam-6382	429	7	[	[	X
ejpam-6382	429	8	22	22	NUM
ejpam-6382	429	9	]	]	X
ejpam-6382	429	10	,	,	PUNCT
ejpam-6382	429	11	such	such	DET
ejpam-6382	429	12	a	a	DET
ejpam-6382	429	13	concave	concave	NOUN
ejpam-6382	429	14	shape	shape	NOUN
ejpam-6382	429	15	strongly	strongly	ADV
ejpam-6382	429	16	indicates	indicate	VERB
ejpam-6382	429	17	an	an	DET
ejpam-6382	429	18	increasing	increase	VERB
ejpam-6382	429	19	hazard	hazard	NOUN
ejpam-6382	429	20	rate	rate	NOUN
ejpam-6382	429	21	,	,	PUNCT
ejpam-6382	429	22	which	which	PRON
ejpam-6382	429	23	aligns	align	VERB
ejpam-6382	429	24	well	well	ADV
ejpam-6382	429	25	with	with	ADP
ejpam-6382	429	26	the	the	DET
ejpam-6382	429	27	characteristics	characteristic	NOUN
ejpam-6382	429	28	of	of	ADP
ejpam-6382	429	29	the	the	DET
ejpam-6382	429	30	lbdfw	lbdfw	ADJ
ejpam-6382	429	31	model	model	NOUN
ejpam-6382	429	32	.	.	PUNCT
ejpam-6382	430	1	therefore	therefore	ADV
ejpam-6382	430	2	,	,	PUNCT
ejpam-6382	430	3	the	the	DET
ejpam-6382	430	4	lbdfw	lbdfw	ADJ
ejpam-6382	430	5	model	model	NOUN
ejpam-6382	430	6	is	be	AUX
ejpam-6382	430	7	a	a	DET
ejpam-6382	430	8	reasonable	reasonable	ADJ
ejpam-6382	430	9	and	and	CCONJ
ejpam-6382	430	10	statistically	statistically	ADV
ejpam-6382	430	11	supported	support	VERB
ejpam-6382	430	12	choice	choice	NOUN
ejpam-6382	430	13	for	for	ADP
ejpam-6382	430	14	modeling	model	VERB
ejpam-6382	430	15	this	this	DET
ejpam-6382	430	16	dataset	dataset	NOUN
ejpam-6382	430	17	.	.	PUNCT
ejpam-6382	431	1	the	the	DET
ejpam-6382	431	2	parameter	parameter	NOUN
ejpam-6382	431	3	estimates	estimate	NOUN
ejpam-6382	431	4	obtained	obtain	VERB
ejpam-6382	431	5	via	via	ADP
ejpam-6382	431	6	the	the	DET
ejpam-6382	431	7	mlemethod	mlemethod	NOUN
ejpam-6382	431	8	,	,	PUNCT
ejpam-6382	431	9	along	along	ADP
ejpam-6382	431	10	with	with	ADP
ejpam-6382	431	11	their	their	PRON
ejpam-6382	431	12	corresponding	correspond	VERB
ejpam-6382	431	13	ses	se	NOUN
ejpam-6382	431	14	and	and	CCONJ
ejpam-6382	431	15	95	95	NUM
ejpam-6382	431	16	%	%	NOUN
ejpam-6382	431	17	confidence	confidence	NOUN
ejpam-6382	431	18	intervals	interval	NOUN
ejpam-6382	431	19	(	(	PUNCT
ejpam-6382	431	20	cis	cis	NOUN
ejpam-6382	431	21	)	)	PUNCT
ejpam-6382	431	22	,	,	PUNCT
ejpam-6382	431	23	are	be	AUX
ejpam-6382	431	24	summarized	summarize	VERB
ejpam-6382	431	25	in	in	ADP
ejpam-6382	431	26	table	table	NOUN
ejpam-6382	431	27	7	7	NUM
ejpam-6382	431	28	for	for	ADP
ejpam-6382	431	29	all	all	DET
ejpam-6382	431	30	competing	compete	VERB
ejpam-6382	431	31	fitted	fit	VERB
ejpam-6382	431	32	models	model	NOUN
ejpam-6382	431	33	.	.	PUNCT
ejpam-6382	432	1	this	this	DET
ejpam-6382	432	2	tabular	tabular	ADJ
ejpam-6382	432	3	presentation	presentation	NOUN
ejpam-6382	432	4	facilitates	facilitate	VERB
ejpam-6382	432	5	the	the	DET
ejpam-6382	432	6	comparison	comparison	NOUN
ejpam-6382	432	7	of	of	ADP
ejpam-6382	432	8	estimation	estimation	NOUN
ejpam-6382	432	9	precision	precision	NOUN
ejpam-6382	432	10	and	and	CCONJ
ejpam-6382	432	11	interval	interval	NOUN
ejpam-6382	432	12	coverage	coverage	NOUN
ejpam-6382	432	13	across	across	ADP
ejpam-6382	432	14	models	model	NOUN
ejpam-6382	432	15	.	.	PUNCT
ejpam-6382	433	1	furthermore	furthermore	ADV
ejpam-6382	433	2	,	,	PUNCT
ejpam-6382	433	3	table	table	NOUN
ejpam-6382	433	4	8	8	NUM
ejpam-6382	433	5	reports	report	VERB
ejpam-6382	433	6	the	the	DET
ejpam-6382	433	7	goodness	goodness	NOUN
ejpam-6382	433	8	-	-	PUNCT
ejpam-6382	433	9	of	of	ADP
ejpam-6382	433	10	-	-	PUNCT
ejpam-6382	433	11	fit	fit	ADJ
ejpam-6382	433	12	statistics	statistic	NOUN
ejpam-6382	433	13	for	for	ADP
ejpam-6382	433	14	each	each	DET
ejpam-6382	433	15	model	model	NOUN
ejpam-6382	433	16	,	,	PUNCT
ejpam-6382	433	17	including	include	VERB
ejpam-6382	433	18	the	the	DET
ejpam-6382	433	19	−	−	PROPN
ejpam-6382	433	20	log	log	NOUN
ejpam-6382	433	21	ℓ	ℓ	PROPN
ejpam-6382	433	22	,	,	PUNCT
ejpam-6382	433	23	the	the	DET
ejpam-6382	433	24	p	p	NOUN
ejpam-6382	433	25	-	-	PUNCT
ejpam-6382	433	26	value	value	NOUN
ejpam-6382	433	27	of	of	ADP
ejpam-6382	433	28	the	the	DET
ejpam-6382	433	29	χ2	χ2	PROPN
ejpam-6382	433	30	,	,	PUNCT
ejpam-6382	433	31	and	and	CCONJ
ejpam-6382	433	32	c	c	NOUN
ejpam-6382	433	33	criterion	criterion	NOUN
ejpam-6382	433	34	.	.	PUNCT
ejpam-6382	434	1	these	these	DET
ejpam-6382	434	2	metrics	metric	NOUN
ejpam-6382	434	3	collectively	collectively	ADV
ejpam-6382	434	4	provide	provide	VERB
ejpam-6382	434	5	comprehensive	comprehensive	ADJ
ejpam-6382	434	6	insight	insight	NOUN
ejpam-6382	434	7	into	into	ADP
ejpam-6382	434	8	how	how	SCONJ
ejpam-6382	434	9	well	well	ADV
ejpam-6382	434	10	each	each	DET
ejpam-6382	434	11	model	model	NOUN
ejpam-6382	434	12	captures	capture	VERB
ejpam-6382	434	13	the	the	DET
ejpam-6382	434	14	observed	observed	ADJ
ejpam-6382	434	15	data	datum	NOUN
ejpam-6382	434	16	.	.	PUNCT
ejpam-6382	435	1	notably	notably	ADV
ejpam-6382	435	2	,	,	PUNCT
ejpam-6382	435	3	the	the	DET
ejpam-6382	435	4	lbdfw	lbdfw	ADJ
ejpam-6382	435	5	model	model	NOUN
ejpam-6382	435	6	exhibits	exhibit	VERB
ejpam-6382	435	7	superior	superior	ADJ
ejpam-6382	435	8	fit	fit	ADJ
ejpam-6382	435	9	characteristics	characteristic	NOUN
ejpam-6382	435	10	across	across	ADP
ejpam-6382	435	11	multiple	multiple	ADJ
ejpam-6382	435	12	indicators	indicator	NOUN
ejpam-6382	435	13	,	,	PUNCT
ejpam-6382	435	14	reinforcing	reinforce	VERB
ejpam-6382	435	15	its	its	PRON
ejpam-6382	435	16	flexibility	flexibility	NOUN
ejpam-6382	435	17	and	and	CCONJ
ejpam-6382	435	18	robustness	robustness	NOUN
ejpam-6382	435	19	in	in	ADP
ejpam-6382	435	20	handling	handle	VERB
ejpam-6382	435	21	underdispersed	underdispersed	ADJ
ejpam-6382	435	22	and	and	CCONJ
ejpam-6382	435	23	platykurtic	platykurtic	ADJ
ejpam-6382	435	24	count	count	NOUN
ejpam-6382	435	25	data	datum	NOUN
ejpam-6382	435	26	,	,	PUNCT
ejpam-6382	435	27	as	as	SCONJ
ejpam-6382	435	28	observed	observe	VERB
ejpam-6382	435	29	in	in	ADP
ejpam-6382	435	30	dataset	dataset	PROPN
ejpam-6382	435	31	ii	ii	PROPN
ejpam-6382	435	32	.	.	PUNCT
ejpam-6382	436	1	figure	figure	VERB
ejpam-6382	436	2	7	7	NUM
ejpam-6382	436	3	:	:	PUNCT
ejpam-6382	436	4	empirical	empirical	ADJ
ejpam-6382	436	5	and	and	CCONJ
ejpam-6382	436	6	fitted	fit	VERB
ejpam-6382	436	7	scaled	scale	VERB
ejpam-6382	436	8	ttt	ttt	NOUN
ejpam-6382	436	9	-	-	PUNCT
ejpam-6382	436	10	transform	transform	NOUN
ejpam-6382	436	11	plots	plot	NOUN
ejpam-6382	436	12	and	and	CCONJ
ejpam-6382	436	13	hrf	hrf	PROPN
ejpam-6382	436	14	plot	plot	NOUN
ejpam-6382	436	15	for	for	ADP
ejpam-6382	436	16	the	the	DET
ejpam-6382	436	17	dataset	dataset	PROPN
ejpam-6382	436	18	ii	ii	PROPN
ejpam-6382	436	19	.	.	PUNCT
ejpam-6382	437	1	d.	d.	PROPN
ejpam-6382	437	2	das	das	PROPN
ejpam-6382	437	3	et	et	PROPN
ejpam-6382	437	4	al	al	PROPN
ejpam-6382	437	5	.	.	PUNCT
ejpam-6382	437	6	/	/	SYM
ejpam-6382	437	7	eur	eur	PROPN
ejpam-6382	437	8	.	.	PUNCT
ejpam-6382	438	1	j.	j.	PROPN
ejpam-6382	438	2	pure	pure	PROPN
ejpam-6382	438	3	appl	appl	PROPN
ejpam-6382	438	4	.	.	PROPN
ejpam-6382	438	5	math	math	PROPN
ejpam-6382	438	6	,	,	PUNCT
ejpam-6382	438	7	18	18	NUM
ejpam-6382	438	8	(	(	PUNCT
ejpam-6382	438	9	3	3	NUM
ejpam-6382	438	10	)	)	PUNCT
ejpam-6382	438	11	(	(	PUNCT
ejpam-6382	438	12	2025	2025	NUM
ejpam-6382	438	13	)	)	PUNCT
ejpam-6382	438	14	,	,	PUNCT
ejpam-6382	438	15	6382	6382	NUM
ejpam-6382	438	16	25	25	NUM
ejpam-6382	438	17	of	of	ADP
ejpam-6382	438	18	29	29	NUM
ejpam-6382	438	19	table	table	NOUN
ejpam-6382	438	20	7	7	NUM
ejpam-6382	438	21	:	:	PUNCT
ejpam-6382	438	22	the	the	DET
ejpam-6382	438	23	mles	mle	NOUN
ejpam-6382	438	24	and	and	CCONJ
ejpam-6382	438	25	95	95	NUM
ejpam-6382	438	26	%	%	NOUN
ejpam-6382	438	27	confidence	confidence	NOUN
ejpam-6382	438	28	intervals	interval	NOUN
ejpam-6382	438	29	for	for	ADP
ejpam-6382	438	30	dataset	dataset	PROPN
ejpam-6382	438	31	ii	ii	PROPN
ejpam-6382	438	32	.	.	PUNCT
ejpam-6382	439	1	distribution	distribution	NOUN
ejpam-6382	439	2	estimates	estimate	NOUN
ejpam-6382	439	3	se	se	ADV
ejpam-6382	439	4	95	95	NUM
ejpam-6382	439	5	%	%	NOUN
ejpam-6382	439	6	ci	ci	PROPN
ejpam-6382	439	7	dgw	dgw	PROPN
ejpam-6382	439	8	α̂	α̂	NUM
ejpam-6382	439	9	=	=	PUNCT
ejpam-6382	439	10	5.7988	5.7988	NUM
ejpam-6382	439	11	α̂	α̂	NUM
ejpam-6382	440	1	=	=	SYM
ejpam-6382	440	2	0.3029	0.3029	NUM
ejpam-6382	440	3	(	(	PUNCT
ejpam-6382	440	4	5.2051	5.2051	NUM
ejpam-6382	440	5	,	,	PUNCT
ejpam-6382	440	6	6.3925	6.3925	NUM
ejpam-6382	440	7	)	)	PUNCT
ejpam-6382	440	8	β̂	β̂	PUNCT
ejpam-6382	440	9	=	=	SYM
ejpam-6382	440	10	4.4631	4.4631	NUM
ejpam-6382	440	11	β̂	β̂	PUNCT
ejpam-6382	440	12	=	=	SYM
ejpam-6382	440	13	2.1567	2.1567	NUM
ejpam-6382	440	14	(	(	PUNCT
ejpam-6382	440	15	0.2360	0.2360	NUM
ejpam-6382	440	16	,	,	PUNCT
ejpam-6382	440	17	8.6902	8.6902	NUM
ejpam-6382	440	18	)	)	PUNCT
ejpam-6382	440	19	θ̂	θ̂	X
ejpam-6382	441	1	=	=	SYM
ejpam-6382	441	2	0.7488	0.7488	NUM
ejpam-6382	441	3	θ̂	θ̂	X
ejpam-6382	441	4	=	=	SYM
ejpam-6382	441	5	0.6874	0.6874	NUM
ejpam-6382	441	6	(	(	PUNCT
ejpam-6382	441	7	-0.5985	-0.5985	NOUN
ejpam-6382	441	8	,	,	PUNCT
ejpam-6382	441	9	2.0961	2.0961	NUM
ejpam-6382	441	10	)	)	PUNCT
ejpam-6382	441	11	dgiw	dgiw	NOUN
ejpam-6382	441	12	α̂	α̂	NUM
ejpam-6382	442	1	=	=	NOUN
ejpam-6382	442	2	2.8750	2.8750	NUM
ejpam-6382	442	3	α̂	α̂	NUM
ejpam-6382	442	4	=	=	SYM
ejpam-6382	442	5	0.1914	0.1914	NUM
ejpam-6382	442	6	(	(	PUNCT
ejpam-6382	442	7	2.4999	2.4999	NUM
ejpam-6382	442	8	,	,	PUNCT
ejpam-6382	442	9	3.2501	3.2501	NUM
ejpam-6382	442	10	)	)	PUNCT
ejpam-6382	442	11	β̂	β̂	PUNCT
ejpam-6382	443	1	=	=	SYM
ejpam-6382	443	2	2.7365	2.7365	NUM
ejpam-6382	443	3	β̂	β̂	X
ejpam-6382	444	1	=	=	SYM
ejpam-6382	444	2	2.1761	2.1761	NUM
ejpam-6382	444	3	(	(	PUNCT
ejpam-6382	444	4	-1.5287	-1.5287	NOUN
ejpam-6382	444	5	,	,	PUNCT
ejpam-6382	444	6	7.0017	7.0017	NUM
ejpam-6382	444	7	)	)	PUNCT
ejpam-6382	444	8	θ̂	θ̂	PUNCT
ejpam-6382	445	1	=	=	PUNCT
ejpam-6382	445	2	0.1157	0.1157	NUM
ejpam-6382	445	3	θ̂	θ̂	NUM
ejpam-6382	445	4	=	=	SYM
ejpam-6382	445	5	2.0966	2.0966	NUM
ejpam-6382	445	6	(	(	PUNCT
ejpam-6382	445	7	-3.9936	-3.9936	NOUN
ejpam-6382	445	8	,	,	PUNCT
ejpam-6382	445	9	4.2250	4.2250	NUM
ejpam-6382	445	10	)	)	PUNCT
ejpam-6382	445	11	dfw	dfw	NOUN
ejpam-6382	445	12	α̂	α̂	NUM
ejpam-6382	445	13	=	=	NOUN
ejpam-6382	445	14	2.7354	2.7354	NUM
ejpam-6382	445	15	α̂	α̂	NUM
ejpam-6382	445	16	=	=	SYM
ejpam-6382	445	17	5.6777	5.6777	NUM
ejpam-6382	445	18	(	(	PUNCT
ejpam-6382	445	19	-8.3929	-8.3929	NOUN
ejpam-6382	445	20	,	,	PUNCT
ejpam-6382	445	21	13.8637	13.8637	NUM
ejpam-6382	445	22	)	)	PUNCT
ejpam-6382	445	23	β̂	β̂	PUNCT
ejpam-6382	446	1	=	=	PUNCT
ejpam-6382	446	2	3.7154	3.7154	NUM
ejpam-6382	446	3	β̂	β̂	ADP
ejpam-6382	447	1	=	=	SYM
ejpam-6382	447	2	2.0182	2.0182	NUM
ejpam-6382	447	3	(	(	PUNCT
ejpam-6382	447	4	-0.2403	-0.2403	NOUN
ejpam-6382	447	5	,	,	PUNCT
ejpam-6382	447	6	7.6711	7.6711	NUM
ejpam-6382	447	7	)	)	PUNCT
ejpam-6382	447	8	m̂	m̂	X
ejpam-6382	448	1	=	=	PUNCT
ejpam-6382	448	2	2.3143	2.3143	NUM
ejpam-6382	448	3	m̂	m̂	X
ejpam-6382	448	4	=	=	SYM
ejpam-6382	448	5	1.8381	1.8381	NUM
ejpam-6382	448	6	(	(	PUNCT
ejpam-6382	448	7	-1.2884	-1.2884	NOUN
ejpam-6382	448	8	,	,	PUNCT
ejpam-6382	448	9	5.9170	5.9170	NUM
ejpam-6382	448	10	)	)	PUNCT
ejpam-6382	448	11	k̂	k̂	X
ejpam-6382	449	1	=	=	PUNCT
ejpam-6382	450	1	2.5415	2.5415	NUM
ejpam-6382	450	2	k̂	k̂	X
ejpam-6382	451	1	=	=	SYM
ejpam-6382	452	1	1.9332	1.9332	NUM
ejpam-6382	452	2	(	(	PUNCT
ejpam-6382	452	3	-1.2476	-1.2476	NOUN
ejpam-6382	452	4	,	,	PUNCT
ejpam-6382	452	5	6.3306	6.3306	NUM
ejpam-6382	452	6	)	)	PUNCT
ejpam-6382	452	7	wdfw	wdfw	VERB
ejpam-6382	452	8	α̂	α̂	NUM
ejpam-6382	452	9	=	=	NOUN
ejpam-6382	452	10	0.0664	0.0664	NUM
ejpam-6382	452	11	α̂	α̂	NUM
ejpam-6382	452	12	=	=	SYM
ejpam-6382	452	13	2.8493	2.8493	NUM
ejpam-6382	452	14	(	(	PUNCT
ejpam-6382	452	15	-5.5182	-5.5182	NOUN
ejpam-6382	452	16	,	,	PUNCT
ejpam-6382	452	17	5.6510	5.6510	NUM
ejpam-6382	452	18	)	)	PUNCT
ejpam-6382	452	19	β̂	β̂	PUNCT
ejpam-6382	453	1	=	=	SYM
ejpam-6382	453	2	2.4692	2.4692	NUM
ejpam-6382	453	3	β̂	β̂	ADP
ejpam-6382	453	4	=	=	SYM
ejpam-6382	453	5	9.3324	9.3324	NUM
ejpam-6382	453	6	(	(	PUNCT
ejpam-6382	453	7	-15.8223	-15.8223	NUM
ejpam-6382	453	8	,	,	PUNCT
ejpam-6382	453	9	20.7607	20.7607	NUM
ejpam-6382	453	10	)	)	PUNCT
ejpam-6382	453	11	m̂	m̂	NOUN
ejpam-6382	454	1	=	=	SYM
ejpam-6382	454	2	11.1764	11.1764	NUM
ejpam-6382	454	3	m̂	m̂	NOUN
ejpam-6382	455	1	=	=	SYM
ejpam-6382	455	2	3.0994	3.0994	NUM
ejpam-6382	455	3	(	(	PUNCT
ejpam-6382	455	4	5.1016	5.1016	NUM
ejpam-6382	455	5	,	,	PUNCT
ejpam-6382	455	6	17.2512	17.2512	NUM
ejpam-6382	455	7	)	)	PUNCT
ejpam-6382	455	8	k̂	k̂	NOUN
ejpam-6382	456	1	=	=	PUNCT
ejpam-6382	456	2	1.3679	1.3679	NUM
ejpam-6382	456	3	k̂	k̂	NOUN
ejpam-6382	456	4	=	=	SYM
ejpam-6382	456	5	0.8770	0.8770	NUM
ejpam-6382	456	6	(	(	PUNCT
ejpam-6382	456	7	-0.3510	-0.3510	ADJ
ejpam-6382	456	8	,	,	PUNCT
ejpam-6382	456	9	3.0868	3.0868	NUM
ejpam-6382	456	10	)	)	PUNCT
ejpam-6382	456	11	lbdfwd	lbdfwd	X
ejpam-6382	456	12	α̂	α̂	PUNCT
ejpam-6382	457	1	=	=	SYM
ejpam-6382	457	2	0.5771	0.5771	NUM
ejpam-6382	457	3	α̂	α̂	NUM
ejpam-6382	457	4	=	=	SYM
ejpam-6382	457	5	4.8544	4.8544	NUM
ejpam-6382	457	6	(	(	PUNCT
ejpam-6382	457	7	-8.9375	-8.9375	PROPN
ejpam-6382	457	8	,	,	PUNCT
ejpam-6382	457	9	10.0917	10.0917	NUM
ejpam-6382	457	10	)	)	PUNCT
ejpam-6382	457	11	β̂	β̂	PUNCT
ejpam-6382	458	1	=	=	SYM
ejpam-6382	458	2	0.0050	0.0050	NUM
ejpam-6382	458	3	β̂	β̂	PUNCT
ejpam-6382	459	1	=	=	SYM
ejpam-6382	459	2	3.4300	3.4300	NUM
ejpam-6382	459	3	(	(	PUNCT
ejpam-6382	459	4	-6.7178	-6.7178	NOUN
ejpam-6382	459	5	,	,	PUNCT
ejpam-6382	459	6	6.7278	6.7278	NUM
ejpam-6382	459	7	)	)	PUNCT
ejpam-6382	459	8	m̂	m̂	X
ejpam-6382	460	1	=	=	NOUN
ejpam-6382	460	2	0.3124	0.3124	NUM
ejpam-6382	460	3	m̂	m̂	NOUN
ejpam-6382	460	4	=	=	SYM
ejpam-6382	460	5	1.3341	1.3341	NUM
ejpam-6382	460	6	(	(	PUNCT
ejpam-6382	460	7	-2.3024	-2.3024	ADJ
ejpam-6382	460	8	,	,	PUNCT
ejpam-6382	460	9	2.9272	2.9272	NUM
ejpam-6382	460	10	)	)	PUNCT
ejpam-6382	460	11	k̂	k̂	NOUN
ejpam-6382	461	1	=	=	PUNCT
ejpam-6382	461	2	0.2389	0.2389	NUM
ejpam-6382	461	3	k̂	k̂	NOUN
ejpam-6382	461	4	=	=	SYM
ejpam-6382	461	5	2.6820	2.6820	NUM
ejpam-6382	461	6	(	(	PUNCT
ejpam-6382	461	7	-5.0178	-5.0178	ADJ
ejpam-6382	461	8	,	,	PUNCT
ejpam-6382	461	9	5.4956	5.4956	NUM
ejpam-6382	461	10	)	)	PUNCT
ejpam-6382	461	11	table	table	NOUN
ejpam-6382	461	12	8	8	NUM
ejpam-6382	461	13	:	:	PUNCT
ejpam-6382	461	14	summary	summary	NOUN
ejpam-6382	461	15	of	of	ADP
ejpam-6382	461	16	the	the	DET
ejpam-6382	461	17	goodness	goodness	NOUN
ejpam-6382	461	18	-	-	PUNCT
ejpam-6382	461	19	of	of	ADP
ejpam-6382	461	20	-	-	PUNCT
ejpam-6382	461	21	fit	fit	NOUN
ejpam-6382	461	22	criteria	criterion	NOUN
ejpam-6382	461	23	for	for	ADP
ejpam-6382	461	24	dataset	dataset	PROPN
ejpam-6382	461	25	ii	ii	PROPN
ejpam-6382	461	26	.	.	PUNCT
ejpam-6382	462	1	x	x	PRON
ejpam-6382	462	2	observed	observe	VERB
ejpam-6382	462	3	expected	expect	VERB
ejpam-6382	462	4	frequency	frequency	NOUN
ejpam-6382	462	5	frequency	frequency	NOUN
ejpam-6382	462	6	wdfw	wdfw	NOUN
ejpam-6382	462	7	dfw	dfw	PROPN
ejpam-6382	462	8	dgiw	dgiw	PROPN
ejpam-6382	462	9	dgw	dgw	PROPN
ejpam-6382	462	10	lbdfwd	lbdfwd	PROPN
ejpam-6382	462	11	0	0	NUM
ejpam-6382	462	12	0	0	NUM
ejpam-6382	462	13	20.92571	20.92571	NUM
ejpam-6382	462	14	0.00000	0.00000	NUM
ejpam-6382	462	15	2.57227	2.57227	NUM
ejpam-6382	462	16	1.28007	1.28007	NUM
ejpam-6382	462	17	0.00000	0.00000	NUM
ejpam-6382	462	18	1	1	NUM
ejpam-6382	462	19	2	2	NUM
ejpam-6382	462	20	15.72648	15.72648	NUM
ejpam-6382	462	21	8.78675	8.78675	NUM
ejpam-6382	462	22	7.84169	7.84169	NUM
ejpam-6382	462	23	5.97291	5.97291	NUM
ejpam-6382	462	24	1.80404	1.80404	NUM
ejpam-6382	462	25	2	2	NUM
ejpam-6382	462	26	4	4	NUM
ejpam-6382	462	27	12.70339	12.70339	NUM
ejpam-6382	462	28	14.07008	14.07008	NUM
ejpam-6382	462	29	11.29771	11.29771	NUM
ejpam-6382	462	30	10.49810	10.49810	NUM
ejpam-6382	462	31	3.61697	3.61697	NUM
ejpam-6382	462	32	3	3	NUM
ejpam-6382	462	33	10	10	NUM
ejpam-6382	462	34	10.82606	10.82606	NUM
ejpam-6382	462	35	16.59386	16.59386	NUM
ejpam-6382	462	36	13.68973	13.68973	NUM
ejpam-6382	462	37	16.55380	16.55380	NUM
ejpam-6382	462	38	10.28112	10.28112	NUM
ejpam-6382	462	39	4	4	NUM
ejpam-6382	462	40	22	22	NUM
ejpam-6382	462	41	9.91835	9.91835	NUM
ejpam-6382	462	42	17.62054	17.62054	NUM
ejpam-6382	462	43	14.78582	14.78582	NUM
ejpam-6382	462	44	20.37221	20.37221	NUM
ejpam-6382	462	45	23.27671	23.27671	NUM
ejpam-6382	462	46	5	5	NUM
ejpam-6382	462	47	26	26	NUM
ejpam-6382	462	48	7.95892	7.95892	NUM
ejpam-6382	462	49	16.20030	16.20030	NUM
ejpam-6382	462	50	15.02092	15.02092	NUM
ejpam-6382	462	51	19.19780	19.19780	NUM
ejpam-6382	462	52	24.21558	24.21558	NUM
ejpam-6382	462	53	6	6	NUM
ejpam-6382	462	54	18	18	NUM
ejpam-6382	462	55	6.95038	6.95038	NUM
ejpam-6382	462	56	13.11319	13.11319	NUM
ejpam-6382	462	57	13.82923	13.82923	NUM
ejpam-6382	462	58	12.54988	12.54988	NUM
ejpam-6382	462	59	18.13423	18.13423	NUM
ejpam-6382	462	60	7	7	NUM
ejpam-6382	462	61	12	12	NUM
ejpam-6382	462	62	5.90002	5.90002	NUM
ejpam-6382	462	63	8.09352	8.09352	NUM
ejpam-6382	462	64	9.24622	9.24622	NUM
ejpam-6382	462	65	6.92631	6.92631	NUM
ejpam-6382	462	66	11.04672	11.04672	NUM
ejpam-6382	462	67	8	8	NUM
ejpam-6382	462	68	4	4	NUM
ejpam-6382	462	69	4.81552	4.81552	NUM
ejpam-6382	462	70	3.90680	3.90680	NUM
ejpam-6382	462	71	6.15143	6.15143	NUM
ejpam-6382	462	72	3.56770	3.56770	NUM
ejpam-6382	462	73	4.95902	4.95902	NUM
ejpam-6382	462	74	9	9	NUM
ejpam-6382	462	75	2	2	NUM
ejpam-6382	462	76	2.70390	2.70390	NUM
ejpam-6382	462	77	0.92583	0.92583	NUM
ejpam-6382	462	78	3.49832	3.49832	NUM
ejpam-6382	462	79	2.02982	2.02982	NUM
ejpam-6382	462	80	1.87372	1.87372	NUM
ejpam-6382	462	81	10	10	NUM
ejpam-6382	462	82	0	0	NUM
ejpam-6382	462	83	1.57126	1.57126	NUM
ejpam-6382	462	84	0.68917	0.68917	NUM
ejpam-6382	463	1	2.06666	2.06666	NUM
ejpam-6382	463	2	1.05140	1.05140	NUM
ejpam-6382	463	3	0.79188	0.79188	NUM
ejpam-6382	463	4	n	n	CCONJ
ejpam-6382	463	5	100	100	NUM
ejpam-6382	463	6	100	100	NUM
ejpam-6382	463	7	100	100	NUM
ejpam-6382	463	8	100	100	NUM
ejpam-6382	463	9	100	100	NUM
ejpam-6382	463	10	100	100	NUM
ejpam-6382	463	11	log	log	NOUN
ejpam-6382	463	12	l	l	NOUN
ejpam-6382	463	13	460.5225	460.5225	NUM
ejpam-6382	464	1	463.2380	463.2380	DET
ejpam-6382	464	2	462.2228	462.2228	NUM
ejpam-6382	464	3	465.0553	465.0553	NUM
ejpam-6382	464	4	460.5295	460.5295	NUM
ejpam-6382	464	5	χ2	χ2	PROPN
ejpam-6382	464	6	120.3101	120.3101	NUM
ejpam-6382	464	7	24.9363	24.9363	NUM
ejpam-6382	464	8	24.3823	24.3823	NUM
ejpam-6382	464	9	18.5098	18.5098	NUM
ejpam-6382	464	10	1.5678	1.5678	NUM
ejpam-6382	464	11	df	df	NOUN
ejpam-6382	464	12	7	7	NUM
ejpam-6382	464	13	6	6	NUM
ejpam-6382	464	14	6	6	NUM
ejpam-6382	464	15	6	6	NUM
ejpam-6382	464	16	4	4	NUM
ejpam-6382	464	17	p	p	NOUN
ejpam-6382	464	18	-	-	PUNCT
ejpam-6382	464	19	value	value	NOUN
ejpam-6382	464	20	<	<	X
ejpam-6382	464	21	0.0001	0.0001	NUM
ejpam-6382	464	22	0.0004	0.0004	NUM
ejpam-6382	464	23	0.0004	0.0004	NUM
ejpam-6382	464	24	0.0051	0.0051	NUM
ejpam-6382	464	25	0.8146	0.8146	NUM
ejpam-6382	464	26	c	c	NOUN
ejpam-6382	464	27	1.2031	1.2031	NUM
ejpam-6382	464	28	0.2494	0.2494	NUM
ejpam-6382	464	29	0.2438	0.2438	NUM
ejpam-6382	464	30	0.1851	0.1851	NUM
ejpam-6382	464	31	0.0157	0.0157	NUM
ejpam-6382	464	32	figure	figure	NOUN
ejpam-6382	464	33	8	8	NUM
ejpam-6382	464	34	displays	display	VERB
ejpam-6382	464	35	the	the	DET
ejpam-6382	464	36	observed	observe	VERB
ejpam-6382	464	37	frequency	frequency	NOUN
ejpam-6382	464	38	distribution	distribution	NOUN
ejpam-6382	464	39	of	of	ADP
ejpam-6382	464	40	dataset	dataset	ADJ
ejpam-6382	464	41	ii	ii	PROPN
ejpam-6382	464	42	alongside	alongside	ADP
ejpam-6382	464	43	the	the	DET
ejpam-6382	464	44	estimated	estimate	VERB
ejpam-6382	464	45	frequencies	frequency	NOUN
ejpam-6382	464	46	obtained	obtain	VERB
ejpam-6382	464	47	from	from	ADP
ejpam-6382	464	48	the	the	DET
ejpam-6382	464	49	lbdfw	lbdfw	NOUN
ejpam-6382	464	50	,	,	PUNCT
ejpam-6382	464	51	wdfw	wdfw	NOUN
ejpam-6382	464	52	,	,	PUNCT
ejpam-6382	464	53	dfw	dfw	PROPN
ejpam-6382	464	54	,	,	PUNCT
ejpam-6382	464	55	dgiw	dgiw	NOUN
ejpam-6382	464	56	,	,	PUNCT
ejpam-6382	464	57	and	and	CCONJ
ejpam-6382	464	58	dgw	dgw	PROPN
ejpam-6382	464	59	models	model	NOUN
ejpam-6382	464	60	.	.	PUNCT
ejpam-6382	465	1	these	these	DET
ejpam-6382	465	2	graphical	graphical	ADJ
ejpam-6382	465	3	comparisons	comparison	NOUN
ejpam-6382	465	4	allow	allow	VERB
ejpam-6382	465	5	for	for	ADP
ejpam-6382	465	6	a	a	DET
ejpam-6382	465	7	visual	visual	ADJ
ejpam-6382	465	8	assessment	assessment	NOUN
ejpam-6382	465	9	of	of	ADP
ejpam-6382	465	10	each	each	DET
ejpam-6382	465	11	model	model	NOUN
ejpam-6382	465	12	’s	’s	PART
ejpam-6382	465	13	ability	ability	NOUN
ejpam-6382	465	14	to	to	PART
ejpam-6382	465	15	replicate	replicate	VERB
ejpam-6382	465	16	the	the	DET
ejpam-6382	465	17	underlying	underlie	VERB
ejpam-6382	465	18	data	data	NOUN
ejpam-6382	465	19	structure	structure	NOUN
ejpam-6382	465	20	.	.	PUNCT
ejpam-6382	466	1	additionally	additionally	ADV
ejpam-6382	466	2	,	,	PUNCT
ejpam-6382	466	3	figure	figure	VERB
ejpam-6382	466	4	9	9	NUM
ejpam-6382	466	5	presents	present	VERB
ejpam-6382	466	6	the	the	DET
ejpam-6382	466	7	cdf	cdf	PROPN
ejpam-6382	466	8	,	,	PUNCT
ejpam-6382	466	9	q	q	NOUN
ejpam-6382	466	10	–	–	PUNCT
ejpam-6382	466	11	q	q	NOUN
ejpam-6382	466	12	,	,	PUNCT
ejpam-6382	466	13	and	and	CCONJ
ejpam-6382	466	14	p	p	X
ejpam-6382	466	15	–	–	PUNCT
ejpam-6382	466	16	p	p	NOUN
ejpam-6382	466	17	plots	plot	NOUN
ejpam-6382	466	18	for	for	ADP
ejpam-6382	466	19	dataset	dataset	NOUN
ejpam-6382	466	20	ii	ii	PROPN
ejpam-6382	466	21	.	.	PUNCT
ejpam-6382	467	1	these	these	DET
ejpam-6382	467	2	diagnostic	diagnostic	ADJ
ejpam-6382	467	3	plots	plot	NOUN
ejpam-6382	467	4	offer	offer	VERB
ejpam-6382	467	5	further	further	ADJ
ejpam-6382	467	6	evidence	evidence	NOUN
ejpam-6382	467	7	supporting	support	VERB
ejpam-6382	467	8	the	the	DET
ejpam-6382	467	9	goodnessof	goodnessof	NOUN
ejpam-6382	467	10	-	-	PUNCT
ejpam-6382	467	11	fit	fit	ADJ
ejpam-6382	467	12	results	result	NOUN
ejpam-6382	467	13	summarized	summarize	VERB
ejpam-6382	467	14	in	in	ADP
ejpam-6382	467	15	table	table	NOUN
ejpam-6382	467	16	8	8	NUM
ejpam-6382	467	17	,	,	PUNCT
ejpam-6382	467	18	highlighting	highlight	VERB
ejpam-6382	467	19	the	the	DET
ejpam-6382	467	20	superior	superior	ADJ
ejpam-6382	467	21	performance	performance	NOUN
ejpam-6382	467	22	of	of	ADP
ejpam-6382	467	23	the	the	DET
ejpam-6382	467	24	lbdfw	lbdfw	PROPN
ejpam-6382	467	25	d.	d.	PROPN
ejpam-6382	467	26	das	das	PROPN
ejpam-6382	467	27	et	et	PROPN
ejpam-6382	467	28	al	al	PROPN
ejpam-6382	467	29	.	.	PUNCT
ejpam-6382	467	30	/	/	SYM
ejpam-6382	467	31	eur	eur	PROPN
ejpam-6382	467	32	.	.	PUNCT
ejpam-6382	468	1	j.	j.	PROPN
ejpam-6382	468	2	pure	pure	PROPN
ejpam-6382	468	3	appl	appl	PROPN
ejpam-6382	468	4	.	.	PROPN
ejpam-6382	468	5	math	math	PROPN
ejpam-6382	468	6	,	,	PUNCT
ejpam-6382	468	7	18	18	NUM
ejpam-6382	468	8	(	(	PUNCT
ejpam-6382	468	9	3	3	NUM
ejpam-6382	468	10	)	)	PUNCT
ejpam-6382	468	11	(	(	PUNCT
ejpam-6382	468	12	2025	2025	NUM
ejpam-6382	468	13	)	)	PUNCT
ejpam-6382	468	14	,	,	PUNCT
ejpam-6382	468	15	6382	6382	NUM
ejpam-6382	468	16	26	26	NUM
ejpam-6382	468	17	of	of	ADP
ejpam-6382	468	18	29	29	NUM
ejpam-6382	468	19	model	model	NOUN
ejpam-6382	468	20	in	in	ADP
ejpam-6382	468	21	capturing	capture	VERB
ejpam-6382	468	22	the	the	DET
ejpam-6382	468	23	empirical	empirical	ADJ
ejpam-6382	468	24	distribution	distribution	NOUN
ejpam-6382	468	25	of	of	ADP
ejpam-6382	468	26	the	the	DET
ejpam-6382	468	27	data	datum	NOUN
ejpam-6382	468	28	.	.	PUNCT
ejpam-6382	469	1	figure	figure	VERB
ejpam-6382	469	2	8	8	NUM
ejpam-6382	469	3	:	:	PUNCT
ejpam-6382	469	4	comparison	comparison	NOUN
ejpam-6382	469	5	of	of	ADP
ejpam-6382	469	6	observed	observed	ADJ
ejpam-6382	469	7	and	and	CCONJ
ejpam-6382	469	8	estimated	estimated	ADJ
ejpam-6382	469	9	frequency	frequency	NOUN
ejpam-6382	469	10	distributions	distribution	NOUN
ejpam-6382	469	11	for	for	ADP
ejpam-6382	469	12	dataset	dataset	PROPN
ejpam-6382	469	13	ii	ii	PROPN
ejpam-6382	469	14	.	.	PUNCT
ejpam-6382	469	15	figure	figure	VERB
ejpam-6382	469	16	9	9	NUM
ejpam-6382	469	17	:	:	PUNCT
ejpam-6382	469	18	the	the	DET
ejpam-6382	469	19	q	q	NOUN
ejpam-6382	469	20	-	-	PUNCT
ejpam-6382	469	21	q	q	NOUN
ejpam-6382	469	22	,	,	PUNCT
ejpam-6382	469	23	p	p	NOUN
ejpam-6382	469	24	-	-	PUNCT
ejpam-6382	469	25	p	p	NOUN
ejpam-6382	469	26	and	and	CCONJ
ejpam-6382	469	27	cdf	cdf	NOUN
ejpam-6382	469	28	plots	plot	NOUN
ejpam-6382	469	29	for	for	ADP
ejpam-6382	469	30	dataset	dataset	ADJ
ejpam-6382	469	31	ii	ii	PROPN
ejpam-6382	469	32	using	use	VERB
ejpam-6382	469	33	lbdfw	lbdfw	PROPN
ejpam-6382	469	34	model	model	NOUN
ejpam-6382	469	35	.	.	PUNCT
ejpam-6382	470	1	d.	d.	PROPN
ejpam-6382	470	2	das	das	PROPN
ejpam-6382	470	3	et	et	PROPN
ejpam-6382	470	4	al	al	PROPN
ejpam-6382	470	5	.	.	PUNCT
ejpam-6382	470	6	/	/	SYM
ejpam-6382	470	7	eur	eur	PROPN
ejpam-6382	470	8	.	.	PUNCT
ejpam-6382	471	1	j.	j.	PROPN
ejpam-6382	471	2	pure	pure	PROPN
ejpam-6382	471	3	appl	appl	PROPN
ejpam-6382	471	4	.	.	PROPN
ejpam-6382	471	5	math	math	PROPN
ejpam-6382	471	6	,	,	PUNCT
ejpam-6382	471	7	18	18	NUM
ejpam-6382	471	8	(	(	PUNCT
ejpam-6382	471	9	3	3	NUM
ejpam-6382	471	10	)	)	PUNCT
ejpam-6382	471	11	(	(	PUNCT
ejpam-6382	471	12	2025	2025	NUM
ejpam-6382	471	13	)	)	PUNCT
ejpam-6382	471	14	,	,	PUNCT
ejpam-6382	471	15	6382	6382	NUM
ejpam-6382	471	16	27	27	NUM
ejpam-6382	471	17	of	of	ADP
ejpam-6382	471	18	29	29	NUM
ejpam-6382	471	19	8	8	NUM
ejpam-6382	471	20	.	.	PUNCT
ejpam-6382	472	1	conclusions	conclusion	NOUN
ejpam-6382	472	2	this	this	DET
ejpam-6382	472	3	study	study	NOUN
ejpam-6382	472	4	presented	present	VERB
ejpam-6382	472	5	a	a	DET
ejpam-6382	472	6	new	new	ADJ
ejpam-6382	472	7	statistical	statistical	ADJ
ejpam-6382	472	8	model	model	NOUN
ejpam-6382	472	9	called	call	VERB
ejpam-6382	472	10	the	the	DET
ejpam-6382	472	11	length	length	NOUN
ejpam-6382	472	12	-	-	PUNCT
ejpam-6382	472	13	biased	bias	VERB
ejpam-6382	472	14	discretized	discretized	ADJ
ejpam-6382	472	15	fréchetweibull	fréchetweibull	PROPN
ejpam-6382	472	16	(	(	PUNCT
ejpam-6382	472	17	lbdfw	lbdfw	ADJ
ejpam-6382	472	18	)	)	PUNCT
ejpam-6382	472	19	distribution	distribution	NOUN
ejpam-6382	472	20	.	.	PUNCT
ejpam-6382	473	1	it	it	PRON
ejpam-6382	473	2	was	be	AUX
ejpam-6382	473	3	developed	develop	VERB
ejpam-6382	473	4	to	to	PART
ejpam-6382	473	5	meet	meet	VERB
ejpam-6382	473	6	the	the	DET
ejpam-6382	473	7	increasing	increase	VERB
ejpam-6382	473	8	demand	demand	NOUN
ejpam-6382	473	9	for	for	ADP
ejpam-6382	473	10	flexible	flexible	ADJ
ejpam-6382	473	11	tools	tool	NOUN
ejpam-6382	473	12	that	that	PRON
ejpam-6382	473	13	can	can	AUX
ejpam-6382	473	14	handle	handle	VERB
ejpam-6382	473	15	complex	complex	ADJ
ejpam-6382	473	16	and	and	CCONJ
ejpam-6382	473	17	diverse	diverse	ADJ
ejpam-6382	473	18	types	type	NOUN
ejpam-6382	473	19	of	of	ADP
ejpam-6382	473	20	data	datum	NOUN
ejpam-6382	473	21	.	.	PUNCT
ejpam-6382	474	1	the	the	DET
ejpam-6382	474	2	lbdfw	lbdfw	PROPN
ejpam-6382	474	3	model	model	NOUN
ejpam-6382	474	4	is	be	AUX
ejpam-6382	474	5	designed	design	VERB
ejpam-6382	474	6	to	to	PART
ejpam-6382	474	7	capture	capture	VERB
ejpam-6382	474	8	key	key	ADJ
ejpam-6382	474	9	features	feature	NOUN
ejpam-6382	474	10	often	often	ADV
ejpam-6382	474	11	found	find	VERB
ejpam-6382	474	12	in	in	ADP
ejpam-6382	474	13	real	real	ADJ
ejpam-6382	474	14	datasets	dataset	NOUN
ejpam-6382	474	15	,	,	PUNCT
ejpam-6382	474	16	such	such	ADJ
ejpam-6382	474	17	as	as	ADP
ejpam-6382	474	18	overdispersion	overdispersion	NOUN
ejpam-6382	474	19	,	,	PUNCT
ejpam-6382	474	20	underdispersion	underdispersion	NOUN
ejpam-6382	474	21	,	,	PUNCT
ejpam-6382	474	22	zero	zero	NUM
ejpam-6382	474	23	-	-	PUNCT
ejpam-6382	474	24	inflation	inflation	NOUN
ejpam-6382	474	25	,	,	PUNCT
ejpam-6382	474	26	and	and	CCONJ
ejpam-6382	474	27	skewed	skewed	ADJ
ejpam-6382	474	28	tails	tail	NOUN
ejpam-6382	474	29	.	.	PUNCT
ejpam-6382	475	1	by	by	ADP
ejpam-6382	475	2	analyzing	analyze	VERB
ejpam-6382	475	3	its	its	PRON
ejpam-6382	475	4	probability	probability	NOUN
ejpam-6382	475	5	and	and	CCONJ
ejpam-6382	475	6	hazard	hazard	NOUN
ejpam-6382	475	7	functions	function	NOUN
ejpam-6382	475	8	,	,	PUNCT
ejpam-6382	475	9	the	the	DET
ejpam-6382	475	10	model	model	NOUN
ejpam-6382	475	11	showed	show	VERB
ejpam-6382	475	12	strong	strong	ADJ
ejpam-6382	475	13	adaptability	adaptability	NOUN
ejpam-6382	475	14	,	,	PUNCT
ejpam-6382	475	15	accurately	accurately	ADV
ejpam-6382	475	16	representing	represent	VERB
ejpam-6382	475	17	a	a	DET
ejpam-6382	475	18	wide	wide	ADJ
ejpam-6382	475	19	range	range	NOUN
ejpam-6382	475	20	of	of	ADP
ejpam-6382	475	21	hazard	hazard	NOUN
ejpam-6382	475	22	shapes	shape	NOUN
ejpam-6382	475	23	including	include	VERB
ejpam-6382	475	24	increasing	increase	VERB
ejpam-6382	475	25	,	,	PUNCT
ejpam-6382	475	26	decreasing	decreasing	NOUN
ejpam-6382	475	27	,	,	PUNCT
ejpam-6382	475	28	bathtub	bathtub	PROPN
ejpam-6382	475	29	,	,	PUNCT
ejpam-6382	475	30	and	and	CCONJ
ejpam-6382	475	31	unimodal	unimodal	ADJ
ejpam-6382	475	32	forms	form	NOUN
ejpam-6382	475	33	.	.	PUNCT
ejpam-6382	476	1	parameters	parameter	NOUN
ejpam-6382	476	2	of	of	ADP
ejpam-6382	476	3	the	the	DET
ejpam-6382	476	4	model	model	NOUN
ejpam-6382	476	5	were	be	AUX
ejpam-6382	476	6	estimated	estimate	VERB
ejpam-6382	476	7	using	use	VERB
ejpam-6382	476	8	the	the	DET
ejpam-6382	476	9	maximum	maximum	ADJ
ejpam-6382	476	10	likelihood	likelihood	NOUN
ejpam-6382	476	11	method	method	NOUN
ejpam-6382	476	12	.	.	PUNCT
ejpam-6382	477	1	a	a	DET
ejpam-6382	477	2	simulation	simulation	NOUN
ejpam-6382	477	3	study	study	NOUN
ejpam-6382	477	4	confirmed	confirm	VERB
ejpam-6382	477	5	the	the	DET
ejpam-6382	477	6	estimators	estimator	NOUN
ejpam-6382	477	7	were	be	AUX
ejpam-6382	477	8	efficient	efficient	ADJ
ejpam-6382	477	9	and	and	CCONJ
ejpam-6382	477	10	reliable	reliable	ADJ
ejpam-6382	477	11	under	under	ADP
ejpam-6382	477	12	different	different	ADJ
ejpam-6382	477	13	conditions	condition	NOUN
ejpam-6382	477	14	,	,	PUNCT
ejpam-6382	477	15	supporting	support	VERB
ejpam-6382	477	16	the	the	DET
ejpam-6382	477	17	model	model	NOUN
ejpam-6382	477	18	’s	’s	PART
ejpam-6382	477	19	use	use	NOUN
ejpam-6382	477	20	in	in	ADP
ejpam-6382	477	21	standard	standard	ADJ
ejpam-6382	477	22	statistical	statistical	ADJ
ejpam-6382	477	23	inference	inference	NOUN
ejpam-6382	477	24	.	.	PUNCT
ejpam-6382	478	1	the	the	DET
ejpam-6382	478	2	model	model	NOUN
ejpam-6382	478	3	was	be	AUX
ejpam-6382	478	4	also	also	ADV
ejpam-6382	478	5	tested	test	VERB
ejpam-6382	478	6	on	on	ADP
ejpam-6382	478	7	real	real	ADJ
ejpam-6382	478	8	-	-	PUNCT
ejpam-6382	478	9	world	world	NOUN
ejpam-6382	478	10	count	count	NOUN
ejpam-6382	478	11	data	datum	NOUN
ejpam-6382	478	12	,	,	PUNCT
ejpam-6382	478	13	where	where	SCONJ
ejpam-6382	478	14	it	it	PRON
ejpam-6382	478	15	showed	show	VERB
ejpam-6382	478	16	a	a	DET
ejpam-6382	478	17	better	well	ADJ
ejpam-6382	478	18	fit	fit	NOUN
ejpam-6382	478	19	compared	compare	VERB
ejpam-6382	478	20	to	to	ADP
ejpam-6382	478	21	several	several	ADJ
ejpam-6382	478	22	well	well	ADV
ejpam-6382	478	23	-	-	PUNCT
ejpam-6382	478	24	known	know	VERB
ejpam-6382	478	25	discrete	discrete	ADJ
ejpam-6382	478	26	models	model	NOUN
ejpam-6382	478	27	,	,	PUNCT
ejpam-6382	478	28	both	both	CCONJ
ejpam-6382	478	29	in	in	ADP
ejpam-6382	478	30	statistical	statistical	ADJ
ejpam-6382	478	31	tests	test	NOUN
ejpam-6382	478	32	and	and	CCONJ
ejpam-6382	478	33	visual	visual	ADJ
ejpam-6382	478	34	comparisons	comparison	NOUN
ejpam-6382	478	35	.	.	PUNCT
ejpam-6382	479	1	looking	look	VERB
ejpam-6382	479	2	ahead	ahead	ADV
ejpam-6382	479	3	,	,	PUNCT
ejpam-6382	479	4	the	the	DET
ejpam-6382	479	5	lbdfw	lbdfw	ADJ
ejpam-6382	479	6	model	model	NOUN
ejpam-6382	479	7	offers	offer	VERB
ejpam-6382	479	8	promising	promise	VERB
ejpam-6382	479	9	directions	direction	NOUN
ejpam-6382	479	10	for	for	ADP
ejpam-6382	479	11	further	further	ADJ
ejpam-6382	479	12	research	research	NOUN
ejpam-6382	479	13	.	.	PUNCT
ejpam-6382	480	1	it	it	PRON
ejpam-6382	480	2	can	can	AUX
ejpam-6382	480	3	be	be	AUX
ejpam-6382	480	4	extended	extend	VERB
ejpam-6382	480	5	using	use	VERB
ejpam-6382	480	6	bayesian	bayesian	NOUN
ejpam-6382	480	7	methods	method	NOUN
ejpam-6382	480	8	like	like	ADP
ejpam-6382	480	9	mcmc	mcmc	PROPN
ejpam-6382	480	10	to	to	PART
ejpam-6382	480	11	improve	improve	VERB
ejpam-6382	480	12	inference	inference	NOUN
ejpam-6382	480	13	in	in	ADP
ejpam-6382	480	14	more	more	ADJ
ejpam-6382	480	15	complex	complex	ADJ
ejpam-6382	480	16	scenarios	scenario	NOUN
ejpam-6382	480	17	.	.	PUNCT
ejpam-6382	481	1	there	there	PRON
ejpam-6382	481	2	’s	’	VERB
ejpam-6382	481	3	also	also	ADV
ejpam-6382	481	4	potential	potential	ADJ
ejpam-6382	481	5	for	for	ADP
ejpam-6382	481	6	developing	develop	VERB
ejpam-6382	481	7	multivariate	multivariate	NOUN
ejpam-6382	481	8	versions	version	NOUN
ejpam-6382	481	9	to	to	PART
ejpam-6382	481	10	capture	capture	VERB
ejpam-6382	481	11	relationships	relationship	NOUN
ejpam-6382	481	12	across	across	ADP
ejpam-6382	481	13	multiple	multiple	ADJ
ejpam-6382	481	14	variables	variable	NOUN
ejpam-6382	481	15	or	or	CCONJ
ejpam-6382	481	16	adapting	adapt	VERB
ejpam-6382	481	17	the	the	DET
ejpam-6382	481	18	model	model	NOUN
ejpam-6382	481	19	for	for	ADP
ejpam-6382	481	20	regression	regression	NOUN
ejpam-6382	481	21	analysis	analysis	NOUN
ejpam-6382	481	22	with	with	ADP
ejpam-6382	481	23	covariates	covariate	NOUN
ejpam-6382	481	24	.	.	PUNCT
ejpam-6382	482	1	additionally	additionally	ADV
ejpam-6382	482	2	,	,	PUNCT
ejpam-6382	482	3	applying	apply	VERB
ejpam-6382	482	4	the	the	DET
ejpam-6382	482	5	model	model	NOUN
ejpam-6382	482	6	to	to	ADP
ejpam-6382	482	7	censored	censor	VERB
ejpam-6382	482	8	data	datum	NOUN
ejpam-6382	482	9	,	,	PUNCT
ejpam-6382	482	10	such	such	ADJ
ejpam-6382	482	11	as	as	ADP
ejpam-6382	482	12	in	in	ADP
ejpam-6382	482	13	progressive	progressive	ADJ
ejpam-6382	482	14	or	or	CCONJ
ejpam-6382	482	15	hybrid	hybrid	ADJ
ejpam-6382	482	16	censoring	censor	VERB
ejpam-6382	482	17	schemes	scheme	NOUN
ejpam-6382	482	18	,	,	PUNCT
ejpam-6382	482	19	could	could	AUX
ejpam-6382	482	20	be	be	AUX
ejpam-6382	482	21	explored	explore	VERB
ejpam-6382	482	22	.	.	PUNCT
ejpam-6382	483	1	from	from	ADP
ejpam-6382	483	2	a	a	DET
ejpam-6382	483	3	practical	practical	ADJ
ejpam-6382	483	4	perspective	perspective	NOUN
ejpam-6382	483	5	,	,	PUNCT
ejpam-6382	483	6	the	the	DET
ejpam-6382	483	7	lbdfw	lbdfw	ADJ
ejpam-6382	483	8	model	model	NOUN
ejpam-6382	483	9	holds	hold	VERB
ejpam-6382	483	10	value	value	NOUN
ejpam-6382	483	11	in	in	ADP
ejpam-6382	483	12	areas	area	NOUN
ejpam-6382	483	13	like	like	ADP
ejpam-6382	483	14	reliability	reliability	NOUN
ejpam-6382	483	15	engineering	engineering	NOUN
ejpam-6382	483	16	,	,	PUNCT
ejpam-6382	483	17	epidemiology	epidemiology	NOUN
ejpam-6382	483	18	,	,	PUNCT
ejpam-6382	483	19	environmental	environmental	ADJ
ejpam-6382	483	20	science	science	NOUN
ejpam-6382	483	21	,	,	PUNCT
ejpam-6382	483	22	and	and	CCONJ
ejpam-6382	483	23	actuarial	actuarial	ADJ
ejpam-6382	483	24	work	work	NOUN
ejpam-6382	483	25	especially	especially	ADV
ejpam-6382	483	26	when	when	SCONJ
ejpam-6382	483	27	dealing	deal	VERB
ejpam-6382	483	28	with	with	ADP
ejpam-6382	483	29	skewed	skewed	ADJ
ejpam-6382	483	30	or	or	CCONJ
ejpam-6382	483	31	heavy	heavy	ADV
ejpam-6382	483	32	-	-	PUNCT
ejpam-6382	483	33	tailed	tail	VERB
ejpam-6382	483	34	count	count	NOUN
ejpam-6382	483	35	data	datum	NOUN
ejpam-6382	483	36	.	.	PUNCT
ejpam-6382	484	1	data	datum	NOUN
ejpam-6382	484	2	availability	availability	NOUN
ejpam-6382	484	3	statement	statement	NOUN
ejpam-6382	484	4	the	the	DET
ejpam-6382	484	5	data	data	NOUN
ejpam-6382	484	6	sets	set	NOUN
ejpam-6382	484	7	are	be	AUX
ejpam-6382	484	8	available	available	ADJ
ejpam-6382	484	9	in	in	ADP
ejpam-6382	484	10	the	the	DET
ejpam-6382	484	11	paper	paper	NOUN
ejpam-6382	484	12	.	.	PUNCT
ejpam-6382	485	1	conflicts	conflict	NOUN
ejpam-6382	485	2	of	of	ADP
ejpam-6382	485	3	interest	interest	NOUN
ejpam-6382	485	4	the	the	DET
ejpam-6382	485	5	authors	author	NOUN
ejpam-6382	485	6	declare	declare	VERB
ejpam-6382	485	7	no	no	DET
ejpam-6382	485	8	conflict	conflict	NOUN
ejpam-6382	485	9	of	of	ADP
ejpam-6382	485	10	interests	interest	NOUN
ejpam-6382	485	11	.	.	PUNCT
ejpam-6382	486	1	references	reference	NOUN
ejpam-6382	486	2	[	[	X
ejpam-6382	486	3	1	1	NUM
ejpam-6382	486	4	]	]	PUNCT
ejpam-6382	486	5	r.	r.	PROPN
ejpam-6382	486	6	a.	a.	PROPN
ejpam-6382	486	7	fisher	fisher	PROPN
ejpam-6382	486	8	.	.	PUNCT
ejpam-6382	487	1	the	the	DET
ejpam-6382	487	2	effects	effect	NOUN
ejpam-6382	487	3	of	of	ADP
ejpam-6382	487	4	methods	method	NOUN
ejpam-6382	487	5	of	of	ADP
ejpam-6382	487	6	ascertainment	ascertainment	NOUN
ejpam-6382	487	7	upon	upon	SCONJ
ejpam-6382	487	8	the	the	DET
ejpam-6382	487	9	estimation	estimation	NOUN
ejpam-6382	487	10	of	of	ADP
ejpam-6382	487	11	frequencies	frequency	NOUN
ejpam-6382	487	12	.	.	PUNCT
ejpam-6382	488	1	annals	annal	NOUN
ejpam-6382	488	2	of	of	ADP
ejpam-6382	488	3	eugenics	eugenic	NOUN
ejpam-6382	488	4	,	,	PUNCT
ejpam-6382	488	5	6:13–25	6:13–25	NUM
ejpam-6382	488	6	,	,	PUNCT
ejpam-6382	488	7	1934	1934	NUM
ejpam-6382	488	8	.	.	PUNCT
ejpam-6382	489	1	[	[	X
ejpam-6382	489	2	2	2	NUM
ejpam-6382	489	3	]	]	PUNCT
ejpam-6382	489	4	c.	c.	PROPN
ejpam-6382	489	5	r.	r.	PROPN
ejpam-6382	489	6	rao	rao	PROPN
ejpam-6382	489	7	.	.	PUNCT
ejpam-6382	490	1	on	on	ADP
ejpam-6382	490	2	discrete	discrete	ADJ
ejpam-6382	490	3	distributions	distribution	NOUN
ejpam-6382	490	4	arising	arise	VERB
ejpam-6382	490	5	out	out	ADP
ejpam-6382	490	6	of	of	ADP
ejpam-6382	490	7	methods	method	NOUN
ejpam-6382	490	8	of	of	ADP
ejpam-6382	490	9	ascertainment	ascertainment	NOUN
ejpam-6382	490	10	.	.	PUNCT
ejpam-6382	491	1	sankhya	sankhya	PROPN
ejpam-6382	491	2	,	,	PUNCT
ejpam-6382	491	3	27(2):311–324	27(2):311–324	NUM
ejpam-6382	491	4	,	,	PUNCT
ejpam-6382	491	5	1965	1965	NUM
ejpam-6382	491	6	.	.	PUNCT
ejpam-6382	492	1	[	[	X
ejpam-6382	492	2	3	3	X
ejpam-6382	492	3	]	]	X
ejpam-6382	492	4	d.	d.	PROPN
ejpam-6382	492	5	cox	cox	PROPN
ejpam-6382	492	6	.	.	PUNCT
ejpam-6382	493	1	renewal	renewal	PROPN
ejpam-6382	493	2	theory	theory	NOUN
ejpam-6382	493	3	.	.	PUNCT
ejpam-6382	494	1	methuen	methuen	PROPN
ejpam-6382	494	2	’s	’s	PART
ejpam-6382	494	3	monographs	monograph	NOUN
ejpam-6382	494	4	on	on	ADP
ejpam-6382	494	5	applied	apply	VERB
ejpam-6382	494	6	probability	probability	NOUN
ejpam-6382	494	7	and	and	CCONJ
ejpam-6382	494	8	statistics	statistic	NOUN
ejpam-6382	494	9	,	,	PUNCT
ejpam-6382	494	10	london	london	PROPN
ejpam-6382	494	11	;	;	PUNCT
ejpam-6382	494	12	new	new	PROPN
ejpam-6382	494	13	york	york	PROPN
ejpam-6382	494	14	,	,	PUNCT
ejpam-6382	494	15	1962	1962	NUM
ejpam-6382	494	16	.	.	PUNCT
ejpam-6382	495	1	john	john	PROPN
ejpam-6382	495	2	wiley	wiley	PROPN
ejpam-6382	495	3	&	&	CCONJ
ejpam-6382	495	4	sons	son	NOUN
ejpam-6382	495	5	.	.	PUNCT
ejpam-6382	496	1	[	[	X
ejpam-6382	496	2	4	4	X
ejpam-6382	496	3	]	]	PUNCT
ejpam-6382	496	4	g.	g.	PROPN
ejpam-6382	496	5	p.	p.	NOUN
ejpam-6382	496	6	patil	patil	PROPN
ejpam-6382	496	7	and	and	CCONJ
ejpam-6382	496	8	c.	c.	PROPN
ejpam-6382	496	9	r.	r.	PROPN
ejpam-6382	496	10	rao	rao	PROPN
ejpam-6382	496	11	.	.	PUNCT
ejpam-6382	497	1	weighted	weight	VERB
ejpam-6382	497	2	distribution	distribution	NOUN
ejpam-6382	497	3	and	and	CCONJ
ejpam-6382	497	4	size	size	NOUN
ejpam-6382	497	5	-	-	PUNCT
ejpam-6382	497	6	biased	biased	ADJ
ejpam-6382	497	7	sampling	sampling	NOUN
ejpam-6382	497	8	with	with	ADP
ejpam-6382	497	9	applications	application	NOUN
ejpam-6382	497	10	to	to	ADP
ejpam-6382	497	11	wildlife	wildlife	NOUN
ejpam-6382	497	12	populations	population	NOUN
ejpam-6382	497	13	and	and	CCONJ
ejpam-6382	497	14	human	human	ADJ
ejpam-6382	497	15	families	family	NOUN
ejpam-6382	497	16	.	.	PUNCT
ejpam-6382	498	1	biometrics	biometric	NOUN
ejpam-6382	498	2	,	,	PUNCT
ejpam-6382	498	3	34:179–189	34:179–189	NUM
ejpam-6382	498	4	,	,	PUNCT
ejpam-6382	498	5	1978	1978	NUM
ejpam-6382	498	6	.	.	PUNCT
ejpam-6382	499	1	d.	d.	PROPN
ejpam-6382	499	2	das	das	PROPN
ejpam-6382	499	3	et	et	PROPN
ejpam-6382	499	4	al	al	PROPN
ejpam-6382	499	5	.	.	PUNCT
ejpam-6382	499	6	/	/	SYM
ejpam-6382	499	7	eur	eur	PROPN
ejpam-6382	499	8	.	.	PUNCT
ejpam-6382	500	1	j.	j.	PROPN
ejpam-6382	500	2	pure	pure	PROPN
ejpam-6382	500	3	appl	appl	PROPN
ejpam-6382	500	4	.	.	PROPN
ejpam-6382	500	5	math	math	PROPN
ejpam-6382	500	6	,	,	PUNCT
ejpam-6382	500	7	18	18	NUM
ejpam-6382	500	8	(	(	PUNCT
ejpam-6382	500	9	3	3	NUM
ejpam-6382	500	10	)	)	PUNCT
ejpam-6382	500	11	(	(	PUNCT
ejpam-6382	500	12	2025	2025	NUM
ejpam-6382	500	13	)	)	PUNCT
ejpam-6382	500	14	,	,	PUNCT
ejpam-6382	500	15	6382	6382	NUM
ejpam-6382	500	16	28	28	NUM
ejpam-6382	500	17	of	of	ADP
ejpam-6382	500	18	29	29	NUM
ejpam-6382	500	19	[	[	SYM
ejpam-6382	500	20	5	5	NUM
ejpam-6382	500	21	]	]	PUNCT
ejpam-6382	500	22	j.	j.	PROPN
ejpam-6382	500	23	h.	h.	PROPN
ejpam-6382	500	24	gove	gove	PROPN
ejpam-6382	500	25	.	.	PUNCT
ejpam-6382	501	1	estimation	estimation	NOUN
ejpam-6382	501	2	and	and	CCONJ
ejpam-6382	501	3	application	application	NOUN
ejpam-6382	501	4	of	of	ADP
ejpam-6382	501	5	size	size	NOUN
ejpam-6382	501	6	-	-	PUNCT
ejpam-6382	501	7	biased	bias	VERB
ejpam-6382	501	8	distributions	distribution	NOUN
ejpam-6382	501	9	in	in	ADP
ejpam-6382	501	10	forestry	forestry	NOUN
ejpam-6382	501	11	.	.	PUNCT
ejpam-6382	502	1	in	in	ADP
ejpam-6382	502	2	modeling	model	VERB
ejpam-6382	502	3	forest	forest	NOUN
ejpam-6382	502	4	systems	system	NOUN
ejpam-6382	502	5	:	:	PUNCT
ejpam-6382	502	6	workshop	workshop	NOUN
ejpam-6382	502	7	on	on	ADP
ejpam-6382	502	8	the	the	DET
ejpam-6382	502	9	interface	interface	NOUN
ejpam-6382	502	10	between	between	ADP
ejpam-6382	502	11	reality	reality	NOUN
ejpam-6382	502	12	,	,	PUNCT
ejpam-6382	502	13	modeling	modeling	NOUN
ejpam-6382	502	14	and	and	CCONJ
ejpam-6382	502	15	the	the	DET
ejpam-6382	502	16	parameter	parameter	NOUN
ejpam-6382	502	17	estimation	estimation	NOUN
ejpam-6382	502	18	processes	process	NOUN
ejpam-6382	502	19	,	,	PUNCT
ejpam-6382	502	20	pages	page	NOUN
ejpam-6382	502	21	201–212	201–212	NUM
ejpam-6382	502	22	,	,	PUNCT
ejpam-6382	502	23	2002	2002	NUM
ejpam-6382	502	24	.	.	PUNCT
ejpam-6382	503	1	[	[	X
ejpam-6382	503	2	6	6	NUM
ejpam-6382	503	3	]	]	PUNCT
ejpam-6382	503	4	m.	m.	NOUN
ejpam-6382	503	5	pandya	pandya	PROPN
ejpam-6382	503	6	,	,	PUNCT
ejpam-6382	503	7	s.	s.	PROPN
ejpam-6382	503	8	pandya	pandya	PROPN
ejpam-6382	503	9	,	,	PUNCT
ejpam-6382	503	10	and	and	CCONJ
ejpam-6382	503	11	p.	p.	NOUN
ejpam-6382	503	12	andharia	andharia	PROPN
ejpam-6382	503	13	.	.	PUNCT
ejpam-6382	504	1	bayes	bayes	PROPN
ejpam-6382	504	2	estimation	estimation	NOUN
ejpam-6382	504	3	of	of	ADP
ejpam-6382	504	4	weibull	weibull	PROPN
ejpam-6382	504	5	length	length	NOUN
ejpam-6382	504	6	biased	bias	VERB
ejpam-6382	504	7	distribution	distribution	NOUN
ejpam-6382	504	8	.	.	PUNCT
ejpam-6382	505	1	asian	asian	ADJ
ejpam-6382	505	2	journal	journal	NOUN
ejpam-6382	505	3	of	of	ADP
ejpam-6382	505	4	current	current	ADJ
ejpam-6382	505	5	engineering	engineering	NOUN
ejpam-6382	505	6	and	and	CCONJ
ejpam-6382	505	7	maths	math	NOUN
ejpam-6382	505	8	,	,	PUNCT
ejpam-6382	505	9	2(1):44–49	2(1):44–49	NUM
ejpam-6382	505	10	,	,	PUNCT
ejpam-6382	505	11	2013	2013	NUM
ejpam-6382	505	12	.	.	PUNCT
ejpam-6382	506	1	[	[	X
ejpam-6382	506	2	7	7	X
ejpam-6382	506	3	]	]	X
ejpam-6382	506	4	k.	k.	PROPN
ejpam-6382	506	5	mir	mir	PROPN
ejpam-6382	506	6	,	,	PUNCT
ejpam-6382	506	7	a.	a.	PROPN
ejpam-6382	506	8	ahmed	ahmed	PROPN
ejpam-6382	506	9	,	,	PUNCT
ejpam-6382	506	10	and	and	CCONJ
ejpam-6382	506	11	j.	j.	PROPN
ejpam-6382	506	12	a.	a.	PROPN
ejpam-6382	506	13	reshi	reshi	PROPN
ejpam-6382	506	14	.	.	PUNCT
ejpam-6382	507	1	structural	structural	ADJ
ejpam-6382	507	2	properties	property	NOUN
ejpam-6382	507	3	of	of	ADP
ejpam-6382	507	4	length	length	NOUN
ejpam-6382	507	5	biased	bias	VERB
ejpam-6382	507	6	beta	beta	ADJ
ejpam-6382	507	7	distribution	distribution	NOUN
ejpam-6382	507	8	of	of	ADP
ejpam-6382	507	9	first	first	ADJ
ejpam-6382	507	10	kind	kind	NOUN
ejpam-6382	507	11	.	.	PUNCT
ejpam-6382	508	1	american	american	PROPN
ejpam-6382	508	2	journal	journal	PROPN
ejpam-6382	508	3	of	of	ADP
ejpam-6382	508	4	engineering	engineering	NOUN
ejpam-6382	508	5	research	research	NOUN
ejpam-6382	508	6	,	,	PUNCT
ejpam-6382	508	7	2(2):1–6	2(2):1–6	NUM
ejpam-6382	508	8	,	,	PUNCT
ejpam-6382	508	9	2013	2013	NUM
ejpam-6382	508	10	.	.	PUNCT
ejpam-6382	509	1	[	[	X
ejpam-6382	509	2	8	8	NUM
ejpam-6382	509	3	]	]	PUNCT
ejpam-6382	509	4	p.	p.	NOUN
ejpam-6382	509	5	seenoi	seenoi	PROPN
ejpam-6382	509	6	,	,	PUNCT
ejpam-6382	509	7	t.	t.	NOUN
ejpam-6382	509	8	supapakorn	supapakorn	NOUN
ejpam-6382	509	9	,	,	PUNCT
ejpam-6382	509	10	and	and	CCONJ
ejpam-6382	509	11	w.	w.	PROPN
ejpam-6382	509	12	bodhisuwan	bodhisuwan	PROPN
ejpam-6382	509	13	.	.	PUNCT
ejpam-6382	510	1	the	the	DET
ejpam-6382	510	2	length	length	NOUN
ejpam-6382	510	3	-	-	PUNCT
ejpam-6382	510	4	biased	bias	VERB
ejpam-6382	510	5	exponentiated	exponentiate	VERB
ejpam-6382	510	6	inverted	invert	VERB
ejpam-6382	510	7	weibull	weibull	NOUN
ejpam-6382	510	8	distribution	distribution	NOUN
ejpam-6382	510	9	.	.	PUNCT
ejpam-6382	511	1	international	international	ADJ
ejpam-6382	511	2	journal	journal	NOUN
ejpam-6382	511	3	of	of	ADP
ejpam-6382	511	4	pure	pure	ADJ
ejpam-6382	511	5	and	and	CCONJ
ejpam-6382	511	6	applied	applied	ADJ
ejpam-6382	511	7	mathematics	mathematic	NOUN
ejpam-6382	511	8	,	,	PUNCT
ejpam-6382	511	9	92(2):191–206	92(2):191–206	PROPN
ejpam-6382	511	10	,	,	PUNCT
ejpam-6382	511	11	2014	2014	NUM
ejpam-6382	511	12	.	.	PUNCT
ejpam-6382	512	1	[	[	X
ejpam-6382	512	2	9	9	NUM
ejpam-6382	512	3	]	]	PUNCT
ejpam-6382	512	4	a.	a.	NOUN
ejpam-6382	512	5	ahmad	ahmad	PROPN
ejpam-6382	512	6	,	,	PUNCT
ejpam-6382	512	7	s.	s.	PROPN
ejpam-6382	512	8	ahmad	ahmad	PROPN
ejpam-6382	512	9	,	,	PUNCT
ejpam-6382	512	10	and	and	CCONJ
ejpam-6382	512	11	a.	a.	PROPN
ejpam-6382	512	12	ahmed	ahmed	PROPN
ejpam-6382	512	13	.	.	PUNCT
ejpam-6382	513	1	length	length	NOUN
ejpam-6382	513	2	-	-	PUNCT
ejpam-6382	513	3	biased	bias	VERB
ejpam-6382	513	4	weighted	weight	VERB
ejpam-6382	513	5	lomax	lomax	NOUN
ejpam-6382	513	6	distribution	distribution	NOUN
ejpam-6382	513	7	:	:	PUNCT
ejpam-6382	513	8	statistical	statistical	ADJ
ejpam-6382	513	9	properties	property	NOUN
ejpam-6382	513	10	and	and	CCONJ
ejpam-6382	513	11	application	application	NOUN
ejpam-6382	513	12	.	.	PUNCT
ejpam-6382	514	1	pakistan	pakistan	PROPN
ejpam-6382	514	2	journal	journal	PROPN
ejpam-6382	514	3	of	of	ADP
ejpam-6382	514	4	statistics	statistic	NOUN
ejpam-6382	514	5	and	and	CCONJ
ejpam-6382	514	6	operation	operation	NOUN
ejpam-6382	514	7	research	research	NOUN
ejpam-6382	514	8	,	,	PUNCT
ejpam-6382	514	9	12(2):245–255	12(2):245–255	PRON
ejpam-6382	514	10	,	,	PUNCT
ejpam-6382	514	11	2016	2016	NUM
ejpam-6382	514	12	.	.	PUNCT
ejpam-6382	515	1	[	[	X
ejpam-6382	515	2	10	10	NUM
ejpam-6382	515	3	]	]	X
ejpam-6382	515	4	t.	t.	PROPN
ejpam-6382	515	5	chaito	chaito	PROPN
ejpam-6382	515	6	and	and	CCONJ
ejpam-6382	515	7	m.	m.	PROPN
ejpam-6382	515	8	khamkong	khamkong	PROPN
ejpam-6382	515	9	.	.	PUNCT
ejpam-6382	516	1	the	the	DET
ejpam-6382	516	2	length	length	NOUN
ejpam-6382	516	3	–	–	PUNCT
ejpam-6382	516	4	biased	biased	ADJ
ejpam-6382	516	5	weibull	weibull	NOUN
ejpam-6382	516	6	–	–	PUNCT
ejpam-6382	516	7	rayleigh	rayleigh	NOUN
ejpam-6382	516	8	distribution	distribution	NOUN
ejpam-6382	516	9	for	for	ADP
ejpam-6382	516	10	application	application	NOUN
ejpam-6382	516	11	to	to	ADP
ejpam-6382	516	12	hydrological	hydrological	ADJ
ejpam-6382	516	13	data	datum	NOUN
ejpam-6382	516	14	.	.	PUNCT
ejpam-6382	517	1	lobachevskii	lobachevskii	PROPN
ejpam-6382	517	2	journal	journal	PROPN
ejpam-6382	517	3	of	of	ADP
ejpam-6382	517	4	mathematics	mathematics	PROPN
ejpam-6382	517	5	,	,	PUNCT
ejpam-6382	517	6	42(13):3253	42(13):3253	NUM
ejpam-6382	517	7	–	–	PUNCT
ejpam-6382	517	8	3263	3263	NUM
ejpam-6382	517	9	,	,	PUNCT
ejpam-6382	517	10	2021	2021	NUM
ejpam-6382	517	11	.	.	PUNCT
ejpam-6382	518	1	[	[	X
ejpam-6382	518	2	11	11	NUM
ejpam-6382	518	3	]	]	PUNCT
ejpam-6382	518	4	g.	g.	PROPN
ejpam-6382	518	5	p.	p.	NOUN
ejpam-6382	518	6	patil	patil	PROPN
ejpam-6382	518	7	and	and	CCONJ
ejpam-6382	518	8	c.	c.	PROPN
ejpam-6382	518	9	r.	r.	PROPN
ejpam-6382	518	10	rao	rao	PROPN
ejpam-6382	518	11	.	.	PUNCT
ejpam-6382	519	1	weighted	weight	VERB
ejpam-6382	519	2	distributions	distribution	NOUN
ejpam-6382	519	3	:	:	PUNCT
ejpam-6382	519	4	a	a	DET
ejpam-6382	519	5	survey	survey	NOUN
ejpam-6382	519	6	of	of	ADP
ejpam-6382	519	7	their	their	PRON
ejpam-6382	519	8	application	application	NOUN
ejpam-6382	519	9	.	.	PUNCT
ejpam-6382	520	1	north	north	PROPN
ejpam-6382	520	2	holland	holland	PROPN
ejpam-6382	520	3	,	,	PUNCT
ejpam-6382	520	4	amsterdam	amsterdam	PROPN
ejpam-6382	520	5	,	,	PUNCT
ejpam-6382	520	6	the	the	DET
ejpam-6382	520	7	netherlands	netherlands	PROPN
ejpam-6382	520	8	,	,	PUNCT
ejpam-6382	520	9	1977	1977	NUM
ejpam-6382	520	10	.	.	PUNCT
ejpam-6382	521	1	[	[	X
ejpam-6382	521	2	12	12	NUM
ejpam-6382	521	3	]	]	X
ejpam-6382	521	4	d.	d.	PROPN
ejpam-6382	521	5	das	das	PROPN
ejpam-6382	521	6	and	and	CCONJ
ejpam-6382	521	7	b.	b.	PROPN
ejpam-6382	521	8	das	das	PROPN
ejpam-6382	521	9	.	.	PROPN
ejpam-6382	521	10	discretized	discretized	ADJ
ejpam-6382	521	11	fréchet	fréchet	PROPN
ejpam-6382	521	12	–	–	PUNCT
ejpam-6382	521	13	weibull	weibull	NOUN
ejpam-6382	521	14	distribution	distribution	NOUN
ejpam-6382	521	15	:	:	PUNCT
ejpam-6382	521	16	properties	property	NOUN
ejpam-6382	521	17	and	and	CCONJ
ejpam-6382	521	18	application	application	NOUN
ejpam-6382	521	19	.	.	PUNCT
ejpam-6382	522	1	journal	journal	NOUN
ejpam-6382	522	2	of	of	ADP
ejpam-6382	522	3	the	the	DET
ejpam-6382	522	4	indian	indian	ADJ
ejpam-6382	522	5	society	society	NOUN
ejpam-6382	522	6	for	for	ADP
ejpam-6382	522	7	probability	probability	NOUN
ejpam-6382	522	8	and	and	CCONJ
ejpam-6382	522	9	statistics	statistic	NOUN
ejpam-6382	522	10	,	,	PUNCT
ejpam-6382	522	11	24(1):1–40	24(1):1–40	NUM
ejpam-6382	522	12	,	,	PUNCT
ejpam-6382	522	13	2023	2023	NUM
ejpam-6382	522	14	.	.	PUNCT
ejpam-6382	523	1	[	[	X
ejpam-6382	523	2	13	13	NUM
ejpam-6382	523	3	]	]	X
ejpam-6382	523	4	c.	c.	PROPN
ejpam-6382	523	5	c.	c.	PROPN
ejpam-6382	523	6	kokonendji	kokonendji	PROPN
ejpam-6382	523	7	and	and	CCONJ
ejpam-6382	523	8	m.	m.	NOUN
ejpam-6382	523	9	p.	p.	PROPN
ejpam-6382	523	10	casany	casany	PROPN
ejpam-6382	523	11	.	.	PUNCT
ejpam-6382	524	1	a	a	DET
ejpam-6382	524	2	note	note	NOUN
ejpam-6382	524	3	on	on	ADP
ejpam-6382	524	4	weighted	weight	VERB
ejpam-6382	524	5	count	count	NOUN
ejpam-6382	524	6	distributions	distribution	NOUN
ejpam-6382	524	7	.	.	PUNCT
ejpam-6382	525	1	journal	journal	NOUN
ejpam-6382	525	2	of	of	ADP
ejpam-6382	525	3	statistical	statistical	ADJ
ejpam-6382	525	4	theory	theory	NOUN
ejpam-6382	525	5	and	and	CCONJ
ejpam-6382	525	6	applications	application	NOUN
ejpam-6382	525	7	,	,	PUNCT
ejpam-6382	525	8	11(4):337–352	11(4):337–352	NUM
ejpam-6382	525	9	,	,	PUNCT
ejpam-6382	525	10	2012	2012	NUM
ejpam-6382	525	11	.	.	PUNCT
ejpam-6382	526	1	[	[	X
ejpam-6382	526	2	14	14	NUM
ejpam-6382	526	3	]	]	PUNCT
ejpam-6382	526	4	j.	j.	PROPN
ejpam-6382	526	5	d.	d.	PROPN
ejpam-6382	526	6	castillo	castillo	PROPN
ejpam-6382	526	7	and	and	CCONJ
ejpam-6382	526	8	m.	m.	PROPN
ejpam-6382	526	9	p.	p.	PROPN
ejpam-6382	526	10	casany	casany	PROPN
ejpam-6382	526	11	.	.	PUNCT
ejpam-6382	527	1	weighted	weight	VERB
ejpam-6382	527	2	poisson	poisson	NOUN
ejpam-6382	527	3	distributions	distribution	NOUN
ejpam-6382	527	4	for	for	ADP
ejpam-6382	527	5	overdispersion	overdispersion	NOUN
ejpam-6382	527	6	and	and	CCONJ
ejpam-6382	527	7	underdispersion	underdispersion	NOUN
ejpam-6382	527	8	situations	situation	NOUN
ejpam-6382	527	9	.	.	PUNCT
ejpam-6382	528	1	annals	annal	NOUN
ejpam-6382	528	2	of	of	ADP
ejpam-6382	528	3	the	the	DET
ejpam-6382	528	4	institute	institute	NOUN
ejpam-6382	528	5	of	of	ADP
ejpam-6382	528	6	statistical	statistical	ADJ
ejpam-6382	528	7	mathematics	mathematic	NOUN
ejpam-6382	528	8	,	,	PUNCT
ejpam-6382	528	9	50(3):567–585	50(3):567–585	NUM
ejpam-6382	528	10	,	,	PUNCT
ejpam-6382	528	11	1998	1998	NUM
ejpam-6382	528	12	.	.	PUNCT
ejpam-6382	529	1	[	[	X
ejpam-6382	529	2	15	15	NUM
ejpam-6382	529	3	]	]	X
ejpam-6382	529	4	f.	f.	PROPN
ejpam-6382	529	5	steutel	steutel	PROPN
ejpam-6382	529	6	and	and	CCONJ
ejpam-6382	529	7	k.	k.	PROPN
ejpam-6382	529	8	van	van	PROPN
ejpam-6382	529	9	harn	harn	PROPN
ejpam-6382	529	10	.	.	PUNCT
ejpam-6382	530	1	infinite	infinite	ADJ
ejpam-6382	530	2	divisibility	divisibility	NOUN
ejpam-6382	530	3	of	of	ADP
ejpam-6382	530	4	probability	probability	NOUN
ejpam-6382	530	5	distributions	distribution	NOUN
ejpam-6382	530	6	on	on	ADP
ejpam-6382	530	7	the	the	DET
ejpam-6382	530	8	real	real	ADJ
ejpam-6382	530	9	line	line	NOUN
ejpam-6382	530	10	.	.	PUNCT
ejpam-6382	531	1	pure	pure	ADJ
ejpam-6382	531	2	and	and	CCONJ
ejpam-6382	531	3	applied	applied	ADJ
ejpam-6382	531	4	mathematics	mathematic	NOUN
ejpam-6382	531	5	.	.	PUNCT
ejpam-6382	532	1	marcel	marcel	PROPN
ejpam-6382	532	2	dekker	dekker	PROPN
ejpam-6382	532	3	inc	inc	PROPN
ejpam-6382	532	4	.	.	PROPN
ejpam-6382	532	5	,	,	PUNCT
ejpam-6382	532	6	2004	2004	NUM
ejpam-6382	532	7	.	.	PUNCT
ejpam-6382	533	1	[	[	X
ejpam-6382	533	2	16	16	NUM
ejpam-6382	533	3	]	]	X
ejpam-6382	533	4	d.	d.	PROPN
ejpam-6382	533	5	das	das	PROPN
ejpam-6382	533	6	and	and	CCONJ
ejpam-6382	533	7	b.	b.	PROPN
ejpam-6382	533	8	das	das	PROPN
ejpam-6382	533	9	.	.	PUNCT
ejpam-6382	534	1	on	on	ADP
ejpam-6382	534	2	weighted	weight	VERB
ejpam-6382	534	3	discretized	discretized	ADJ
ejpam-6382	534	4	fréchet	fréchet	NOUN
ejpam-6382	534	5	-	-	PUNCT
ejpam-6382	534	6	weibull	weibull	NOUN
ejpam-6382	534	7	distribution	distribution	NOUN
ejpam-6382	534	8	with	with	ADP
ejpam-6382	534	9	application	application	NOUN
ejpam-6382	534	10	to	to	ADP
ejpam-6382	534	11	real	real	ADJ
ejpam-6382	534	12	-	-	PUNCT
ejpam-6382	534	13	life	life	NOUN
ejpam-6382	534	14	data	datum	NOUN
ejpam-6382	534	15	.	.	PUNCT
ejpam-6382	535	1	applied	apply	VERB
ejpam-6382	535	2	mathematics	mathematics	PROPN
ejpam-6382	535	3	&	&	CCONJ
ejpam-6382	535	4	information	information	NOUN
ejpam-6382	535	5	sciences	sciences	PROPN
ejpam-6382	535	6	,	,	PUNCT
ejpam-6382	535	7	7(5):791–806	7(5):791–806	NOUN
ejpam-6382	535	8	,	,	PUNCT
ejpam-6382	535	9	2023	2023	NUM
ejpam-6382	535	10	.	.	PUNCT
ejpam-6382	536	1	[	[	X
ejpam-6382	536	2	17	17	NUM
ejpam-6382	536	3	]	]	X
ejpam-6382	536	4	b.	b.	PROPN
ejpam-6382	536	5	a.	a.	PROPN
ejpam-6382	536	6	para	para	PROPN
ejpam-6382	536	7	and	and	CCONJ
ejpam-6382	536	8	t.	t.	PROPN
ejpam-6382	536	9	r.	r.	PROPN
ejpam-6382	536	10	jan	jan	PROPN
ejpam-6382	536	11	.	.	PROPN
ejpam-6382	536	12	discrete	discrete	VERB
ejpam-6382	536	13	generalized	generalized	ADJ
ejpam-6382	536	14	weibull	weibull	NOUN
ejpam-6382	536	15	distribution	distribution	NOUN
ejpam-6382	536	16	:	:	PUNCT
ejpam-6382	536	17	properties	property	NOUN
ejpam-6382	536	18	and	and	CCONJ
ejpam-6382	536	19	applications	application	NOUN
ejpam-6382	536	20	in	in	ADP
ejpam-6382	536	21	medical	medical	ADJ
ejpam-6382	536	22	sciences	science	NOUN
ejpam-6382	536	23	.	.	PUNCT
ejpam-6382	537	1	pakistan	pakistan	PROPN
ejpam-6382	537	2	journal	journal	PROPN
ejpam-6382	537	3	of	of	ADP
ejpam-6382	537	4	statistics	statistic	NOUN
ejpam-6382	537	5	,	,	PUNCT
ejpam-6382	537	6	33(5):337–354	33(5):337–354	PROPN
ejpam-6382	537	7	,	,	PUNCT
ejpam-6382	537	8	2017	2017	NUM
ejpam-6382	537	9	.	.	PUNCT
ejpam-6382	538	1	[	[	X
ejpam-6382	538	2	18	18	NUM
ejpam-6382	538	3	]	]	X
ejpam-6382	538	4	b.	b.	PROPN
ejpam-6382	538	5	a.	a.	PROPN
ejpam-6382	538	6	para	para	PROPN
ejpam-6382	538	7	and	and	CCONJ
ejpam-6382	538	8	t.	t.	PROPN
ejpam-6382	538	9	r.	r.	PROPN
ejpam-6382	538	10	jan	jan	PROPN
ejpam-6382	538	11	.	.	PROPN
ejpam-6382	539	1	on	on	ADP
ejpam-6382	539	2	three	three	NUM
ejpam-6382	539	3	parameters	parameter	NOUN
ejpam-6382	539	4	discrete	discrete	VERB
ejpam-6382	539	5	generalized	generalized	ADJ
ejpam-6382	539	6	inverse	inverse	ADJ
ejpam-6382	539	7	weibull	weibull	NOUN
ejpam-6382	539	8	distribution	distribution	NOUN
ejpam-6382	539	9	:	:	PUNCT
ejpam-6382	539	10	properties	property	NOUN
ejpam-6382	539	11	and	and	CCONJ
ejpam-6382	539	12	applications	application	NOUN
ejpam-6382	539	13	.	.	PUNCT
ejpam-6382	540	1	annals	annal	NOUN
ejpam-6382	540	2	of	of	ADP
ejpam-6382	540	3	data	data	NOUN
ejpam-6382	540	4	science	science	NOUN
ejpam-6382	540	5	,	,	PUNCT
ejpam-6382	540	6	6(3):549–570	6(3):549–570	NOUN
ejpam-6382	540	7	,	,	PUNCT
ejpam-6382	540	8	2019	2019	NUM
ejpam-6382	540	9	.	.	PUNCT
ejpam-6382	541	1	[	[	X
ejpam-6382	541	2	19	19	NUM
ejpam-6382	541	3	]	]	X
ejpam-6382	541	4	j.	j.	PROPN
ejpam-6382	541	5	makcutek	makcutek	PROPN
ejpam-6382	541	6	.	.	PUNCT
ejpam-6382	542	1	a	a	DET
ejpam-6382	542	2	generalization	generalization	NOUN
ejpam-6382	542	3	of	of	ADP
ejpam-6382	542	4	the	the	DET
ejpam-6382	542	5	geometric	geometric	ADJ
ejpam-6382	542	6	distribution	distribution	NOUN
ejpam-6382	542	7	and	and	CCONJ
ejpam-6382	542	8	its	its	PRON
ejpam-6382	542	9	application	application	NOUN
ejpam-6382	542	10	in	in	ADP
ejpam-6382	542	11	quantitative	quantitative	ADJ
ejpam-6382	542	12	linguistics	linguistic	NOUN
ejpam-6382	542	13	.	.	PUNCT
ejpam-6382	543	1	romanian	romanian	ADJ
ejpam-6382	543	2	reports	report	NOUN
ejpam-6382	543	3	in	in	ADP
ejpam-6382	543	4	physics	physics	NOUN
ejpam-6382	543	5	,	,	PUNCT
ejpam-6382	543	6	60(3):501–509	60(3):501–509	NOUN
ejpam-6382	543	7	,	,	PUNCT
ejpam-6382	543	8	2008	2008	NUM
ejpam-6382	543	9	.	.	PUNCT
ejpam-6382	544	1	[	[	X
ejpam-6382	544	2	20	20	NUM
ejpam-6382	544	3	]	]	PUNCT
ejpam-6382	544	4	p.	p.	NOUN
ejpam-6382	544	5	grzybek	grzybek	PROPN
ejpam-6382	544	6	.	.	PUNCT
ejpam-6382	545	1	on	on	ADP
ejpam-6382	545	2	the	the	DET
ejpam-6382	545	3	systematic	systematic	ADJ
ejpam-6382	545	4	and	and	CCONJ
ejpam-6382	545	5	system	system	NOUN
ejpam-6382	545	6	-	-	PUNCT
ejpam-6382	545	7	based	base	VERB
ejpam-6382	545	8	study	study	NOUN
ejpam-6382	545	9	of	of	ADP
ejpam-6382	545	10	grapheme	grapheme	ADJ
ejpam-6382	545	11	frequencies	frequency	NOUN
ejpam-6382	545	12	:	:	PUNCT
ejpam-6382	545	13	a	a	DET
ejpam-6382	545	14	re	re	NOUN
ejpam-6382	545	15	-	-	NOUN
ejpam-6382	545	16	analysis	analysis	NOUN
ejpam-6382	545	17	of	of	ADP
ejpam-6382	545	18	german	german	ADJ
ejpam-6382	545	19	letter	letter	NOUN
ejpam-6382	545	20	frequencies	frequency	NOUN
ejpam-6382	545	21	.	.	PUNCT
ejpam-6382	546	1	glottometrics	glottometric	NOUN
ejpam-6382	546	2	,	,	PUNCT
ejpam-6382	546	3	15:82–91	15:82–91	NUM
ejpam-6382	546	4	,	,	PUNCT
ejpam-6382	546	5	2007	2007	NUM
ejpam-6382	546	6	.	.	PUNCT
ejpam-6382	547	1	[	[	X
ejpam-6382	547	2	21	21	NUM
ejpam-6382	547	3	]	]	X
ejpam-6382	547	4	v.	v.	ADP
ejpam-6382	547	5	nekoukhou	nekoukhou	ADJ
ejpam-6382	547	6	,	,	PUNCT
ejpam-6382	547	7	m.	m.	NOUN
ejpam-6382	547	8	h.	h.	PROPN
ejpam-6382	547	9	alamatsaz	alamatsaz	PROPN
ejpam-6382	547	10	,	,	PUNCT
ejpam-6382	547	11	and	and	CCONJ
ejpam-6382	547	12	h.	h.	PROPN
ejpam-6382	547	13	bidram	bidram	PROPN
ejpam-6382	547	14	.	.	PUNCT
ejpam-6382	548	1	a	a	DET
ejpam-6382	548	2	discrete	discrete	ADJ
ejpam-6382	548	3	analog	analog	NOUN
ejpam-6382	548	4	of	of	ADP
ejpam-6382	548	5	the	the	DET
ejpam-6382	548	6	generalized	generalize	VERB
ejpam-6382	548	7	exponential	exponential	ADJ
ejpam-6382	548	8	distribution	distribution	NOUN
ejpam-6382	548	9	.	.	PUNCT
ejpam-6382	549	1	communications	communication	NOUN
ejpam-6382	549	2	in	in	ADP
ejpam-6382	549	3	statistics	statistic	NOUN
ejpam-6382	549	4	theory	theory	NOUN
ejpam-6382	549	5	and	and	CCONJ
ejpam-6382	549	6	methods	method	NOUN
ejpam-6382	549	7	,	,	PUNCT
ejpam-6382	549	8	41(11):2000–2013	41(11):2000–2013	NUM
ejpam-6382	549	9	,	,	PUNCT
ejpam-6382	549	10	2012	2012	NUM
ejpam-6382	549	11	.	.	PUNCT
ejpam-6382	550	1	[	[	X
ejpam-6382	550	2	22	22	NUM
ejpam-6382	550	3	]	]	PUNCT
ejpam-6382	550	4	m.	m.	NOUN
ejpam-6382	550	5	v.	v.	ADP
ejpam-6382	550	6	aarset	aarset	NOUN
ejpam-6382	550	7	.	.	PUNCT
ejpam-6382	551	1	how	how	SCONJ
ejpam-6382	551	2	to	to	PART
ejpam-6382	551	3	identify	identify	VERB
ejpam-6382	551	4	a	a	DET
ejpam-6382	551	5	bathtub	bathtub	ADJ
ejpam-6382	551	6	hazard	hazard	NOUN
ejpam-6382	551	7	rate	rate	NOUN
ejpam-6382	551	8	.	.	PUNCT
ejpam-6382	552	1	ieee	ieee	NOUN
ejpam-6382	552	2	transactions	transaction	NOUN
ejpam-6382	552	3	on	on	ADP
ejpam-6382	552	4	reliad	reliad	PROPN
ejpam-6382	552	5	.	.	PUNCT
ejpam-6382	553	1	das	das	PROPN
ejpam-6382	553	2	et	et	PROPN
ejpam-6382	553	3	al	al	PROPN
ejpam-6382	553	4	.	.	PUNCT
ejpam-6382	553	5	/	/	SYM
ejpam-6382	553	6	eur	eur	PROPN
ejpam-6382	553	7	.	.	PUNCT
ejpam-6382	554	1	j.	j.	PROPN
ejpam-6382	554	2	pure	pure	PROPN
ejpam-6382	554	3	appl	appl	PROPN
ejpam-6382	554	4	.	.	PROPN
ejpam-6382	554	5	math	math	PROPN
ejpam-6382	554	6	,	,	PUNCT
ejpam-6382	554	7	18	18	NUM
ejpam-6382	554	8	(	(	PUNCT
ejpam-6382	554	9	3	3	NUM
ejpam-6382	554	10	)	)	PUNCT
ejpam-6382	554	11	(	(	PUNCT
ejpam-6382	554	12	2025	2025	NUM
ejpam-6382	554	13	)	)	PUNCT
ejpam-6382	554	14	,	,	PUNCT
ejpam-6382	554	15	6382	6382	NUM
ejpam-6382	554	16	29	29	NUM
ejpam-6382	554	17	of	of	ADP
ejpam-6382	554	18	29	29	NUM
ejpam-6382	554	19	bility	bility	NOUN
ejpam-6382	554	20	,	,	PUNCT
ejpam-6382	554	21	36(1):106–108	36(1):106–108	NUM
ejpam-6382	554	22	,	,	PUNCT
ejpam-6382	554	23	1987	1987	NUM
ejpam-6382	554	24	.	.	PUNCT