id	sid	tid	token	lemma	pos
ejpam-6144	1	1	european	european	PROPN
ejpam-6144	1	2	journal	journal	PROPN
ejpam-6144	1	3	of	of	ADP
ejpam-6144	1	4	pure	pure	ADJ
ejpam-6144	1	5	and	and	CCONJ
ejpam-6144	1	6	applied	applied	ADJ
ejpam-6144	1	7	mathematics	mathematic	NOUN
ejpam-6144	1	8	2025	2025	NUM
ejpam-6144	1	9	,	,	PUNCT
ejpam-6144	1	10	vol	vol	NOUN
ejpam-6144	1	11	.	.	PROPN
ejpam-6144	1	12	18	18	NUM
ejpam-6144	1	13	,	,	PUNCT
ejpam-6144	1	14	issue	issue	NOUN
ejpam-6144	1	15	2	2	NUM
ejpam-6144	1	16	,	,	PUNCT
ejpam-6144	1	17	article	article	NOUN
ejpam-6144	1	18	number	number	NOUN
ejpam-6144	1	19	6144	6144	NUM
ejpam-6144	1	20	issn	issn	PROPN
ejpam-6144	1	21	1307	1307	NUM
ejpam-6144	1	22	-	-	SYM
ejpam-6144	1	23	5543	5543	NUM
ejpam-6144	1	24	–	–	PUNCT
ejpam-6144	1	25	ejpam.com	ejpam.com	X
ejpam-6144	1	26	published	publish	VERB
ejpam-6144	1	27	by	by	ADP
ejpam-6144	1	28	new	new	PROPN
ejpam-6144	1	29	york	york	PROPN
ejpam-6144	1	30	business	business	PROPN
ejpam-6144	1	31	global	global	PROPN
ejpam-6144	1	32	a	a	DET
ejpam-6144	1	33	novel	novel	ADJ
ejpam-6144	1	34	discrete	discrete	NOUN
ejpam-6144	1	35	probability	probability	NOUN
ejpam-6144	1	36	distribution	distribution	NOUN
ejpam-6144	1	37	with	with	ADP
ejpam-6144	1	38	theoretical	theoretical	ADJ
ejpam-6144	1	39	and	and	CCONJ
ejpam-6144	1	40	inferential	inferential	ADJ
ejpam-6144	1	41	insights	insight	NOUN
ejpam-6144	1	42	:	:	PUNCT
ejpam-6144	1	43	cutting	cut	VERB
ejpam-6144	1	44	-	-	PUNCT
ejpam-6144	1	45	edge	edge	NOUN
ejpam-6144	1	46	approaches	approach	NOUN
ejpam-6144	1	47	to	to	ADP
ejpam-6144	1	48	sustainable	sustainable	ADJ
ejpam-6144	1	49	dispersion	dispersion	NOUN
ejpam-6144	1	50	data	datum	NOUN
ejpam-6144	1	51	modeling	modeling	NOUN
ejpam-6144	1	52	mohamed	mohamed	PROPN
ejpam-6144	1	53	s.	s.	PROPN
ejpam-6144	1	54	eliwa1,∗	eliwa1,∗	PROPN
ejpam-6144	1	55	,	,	PUNCT
ejpam-6144	1	56	weed	weed	VERB
ejpam-6144	1	57	e.	e.	PROPN
ejpam-6144	1	58	alghanem1	alghanem1	PROPN
ejpam-6144	1	59	,	,	PUNCT
ejpam-6144	1	60	manahel	manahel	PROPN
ejpam-6144	1	61	a.	a.	PROPN
ejpam-6144	1	62	alenizi1	alenizi1	PROPN
ejpam-6144	1	63	1	1	NUM
ejpam-6144	1	64	department	department	NOUN
ejpam-6144	1	65	of	of	ADP
ejpam-6144	1	66	statistics	statistic	NOUN
ejpam-6144	1	67	and	and	CCONJ
ejpam-6144	1	68	operations	operation	NOUN
ejpam-6144	1	69	research	research	NOUN
ejpam-6144	1	70	,	,	PUNCT
ejpam-6144	1	71	college	college	NOUN
ejpam-6144	1	72	of	of	ADP
ejpam-6144	1	73	science	science	NOUN
ejpam-6144	1	74	,	,	PUNCT
ejpam-6144	1	75	qassim	qassim	PROPN
ejpam-6144	1	76	university	university	PROPN
ejpam-6144	1	77	,	,	PUNCT
ejpam-6144	1	78	saudi	saudi	PROPN
ejpam-6144	1	79	arabia	arabia	PROPN
ejpam-6144	1	80	abstract	abstract	NOUN
ejpam-6144	1	81	.	.	PUNCT
ejpam-6144	2	1	as	as	SCONJ
ejpam-6144	2	2	real	real	ADJ
ejpam-6144	2	3	-	-	PUNCT
ejpam-6144	2	4	world	world	NOUN
ejpam-6144	2	5	data	datum	NOUN
ejpam-6144	2	6	becomes	become	VERB
ejpam-6144	2	7	increasingly	increasingly	ADV
ejpam-6144	2	8	complex	complex	ADJ
ejpam-6144	2	9	,	,	PUNCT
ejpam-6144	2	10	there	there	PRON
ejpam-6144	2	11	is	be	VERB
ejpam-6144	2	12	a	a	DET
ejpam-6144	2	13	growing	grow	VERB
ejpam-6144	2	14	need	need	NOUN
ejpam-6144	2	15	for	for	ADP
ejpam-6144	2	16	advanced	advanced	ADJ
ejpam-6144	2	17	probability	probability	NOUN
ejpam-6144	2	18	models	model	NOUN
ejpam-6144	2	19	to	to	PART
ejpam-6144	2	20	support	support	VERB
ejpam-6144	2	21	sustainable	sustainable	ADJ
ejpam-6144	2	22	discrete	discrete	ADJ
ejpam-6144	2	23	data	datum	NOUN
ejpam-6144	2	24	analysis	analysis	NOUN
ejpam-6144	2	25	.	.	PUNCT
ejpam-6144	3	1	this	this	DET
ejpam-6144	3	2	study	study	NOUN
ejpam-6144	3	3	presents	present	VERB
ejpam-6144	3	4	a	a	DET
ejpam-6144	3	5	novel	novel	ADJ
ejpam-6144	3	6	and	and	CCONJ
ejpam-6144	3	7	flexible	flexible	ADJ
ejpam-6144	3	8	extension	extension	NOUN
ejpam-6144	3	9	of	of	ADP
ejpam-6144	3	10	the	the	DET
ejpam-6144	3	11	discrete	discrete	ADJ
ejpam-6144	3	12	gompertz	gompertz	NOUN
ejpam-6144	3	13	distribution	distribution	NOUN
ejpam-6144	3	14	,	,	PUNCT
ejpam-6144	3	15	developed	develop	VERB
ejpam-6144	3	16	within	within	ADP
ejpam-6144	3	17	the	the	DET
ejpam-6144	3	18	framework	framework	NOUN
ejpam-6144	3	19	of	of	ADP
ejpam-6144	3	20	the	the	DET
ejpam-6144	3	21	half	half	ADJ
ejpam-6144	3	22	-	-	PUNCT
ejpam-6144	3	23	logistic	logistic	ADJ
ejpam-6144	3	24	model	model	NOUN
ejpam-6144	3	25	.	.	PUNCT
ejpam-6144	4	1	named	name	VERB
ejpam-6144	4	2	the	the	DET
ejpam-6144	4	3	discrete	discrete	ADJ
ejpam-6144	4	4	gompertz	gompertz	NOUN
ejpam-6144	4	5	half	half	ADJ
ejpam-6144	4	6	-	-	PUNCT
ejpam-6144	4	7	logistic	logistic	ADJ
ejpam-6144	4	8	(	(	PUNCT
ejpam-6144	4	9	dgzhlo	dgzhlo	NOUN
ejpam-6144	4	10	)	)	PUNCT
ejpam-6144	4	11	model	model	NOUN
ejpam-6144	4	12	,	,	PUNCT
ejpam-6144	4	13	this	this	DET
ejpam-6144	4	14	new	new	ADJ
ejpam-6144	4	15	formulation	formulation	NOUN
ejpam-6144	4	16	enhances	enhance	VERB
ejpam-6144	4	17	the	the	DET
ejpam-6144	4	18	adaptability	adaptability	NOUN
ejpam-6144	4	19	of	of	ADP
ejpam-6144	4	20	existing	exist	VERB
ejpam-6144	4	21	discrete	discrete	ADJ
ejpam-6144	4	22	distributions	distribution	NOUN
ejpam-6144	4	23	to	to	PART
ejpam-6144	4	24	better	well	ADV
ejpam-6144	4	25	capture	capture	VERB
ejpam-6144	4	26	intricate	intricate	ADJ
ejpam-6144	4	27	data	datum	NOUN
ejpam-6144	4	28	patterns	pattern	NOUN
ejpam-6144	4	29	.	.	PUNCT
ejpam-6144	5	1	to	to	PART
ejpam-6144	5	2	understand	understand	VERB
ejpam-6144	5	3	its	its	PRON
ejpam-6144	5	4	theoretical	theoretical	ADJ
ejpam-6144	5	5	foundation	foundation	NOUN
ejpam-6144	5	6	,	,	PUNCT
ejpam-6144	5	7	key	key	ADJ
ejpam-6144	5	8	mathematical	mathematical	ADJ
ejpam-6144	5	9	and	and	CCONJ
ejpam-6144	5	10	statistical	statistical	ADJ
ejpam-6144	5	11	properties	property	NOUN
ejpam-6144	5	12	are	be	AUX
ejpam-6144	5	13	examined	examine	VERB
ejpam-6144	5	14	,	,	PUNCT
ejpam-6144	5	15	including	include	VERB
ejpam-6144	5	16	the	the	DET
ejpam-6144	5	17	probability	probability	NOUN
ejpam-6144	5	18	mass	mass	NOUN
ejpam-6144	5	19	function	function	NOUN
ejpam-6144	5	20	,	,	PUNCT
ejpam-6144	5	21	cumulative	cumulative	ADJ
ejpam-6144	5	22	distribution	distribution	NOUN
ejpam-6144	5	23	function	function	NOUN
ejpam-6144	5	24	,	,	PUNCT
ejpam-6144	5	25	reliability	reliability	NOUN
ejpam-6144	5	26	function	function	NOUN
ejpam-6144	5	27	,	,	PUNCT
ejpam-6144	5	28	and	and	CCONJ
ejpam-6144	5	29	hazard	hazard	NOUN
ejpam-6144	5	30	rate	rate	NOUN
ejpam-6144	5	31	function	function	NOUN
ejpam-6144	5	32	.	.	PUNCT
ejpam-6144	6	1	measures	measure	NOUN
ejpam-6144	6	2	such	such	ADJ
ejpam-6144	6	3	as	as	ADP
ejpam-6144	6	4	dispersion	dispersion	NOUN
ejpam-6144	6	5	,	,	PUNCT
ejpam-6144	6	6	skewness	skewness	NOUN
ejpam-6144	6	7	,	,	PUNCT
ejpam-6144	6	8	and	and	CCONJ
ejpam-6144	6	9	kurtosis	kurtosis	VERB
ejpam-6144	6	10	offer	offer	VERB
ejpam-6144	6	11	insights	insight	NOUN
ejpam-6144	6	12	into	into	ADP
ejpam-6144	6	13	the	the	DET
ejpam-6144	6	14	model	model	NOUN
ejpam-6144	6	15	’s	’s	PART
ejpam-6144	6	16	behavior	behavior	NOUN
ejpam-6144	6	17	,	,	PUNCT
ejpam-6144	6	18	while	while	SCONJ
ejpam-6144	6	19	entropy	entropy	NOUN
ejpam-6144	6	20	and	and	CCONJ
ejpam-6144	6	21	order	order	NOUN
ejpam-6144	6	22	statistics	statistic	NOUN
ejpam-6144	6	23	further	far	ADV
ejpam-6144	6	24	reveal	reveal	VERB
ejpam-6144	6	25	its	its	PRON
ejpam-6144	6	26	structural	structural	ADJ
ejpam-6144	6	27	characteristics	characteristic	NOUN
ejpam-6144	6	28	.	.	PUNCT
ejpam-6144	7	1	the	the	DET
ejpam-6144	7	2	model	model	NOUN
ejpam-6144	7	3	’s	’s	PART
ejpam-6144	7	4	parameters	parameter	NOUN
ejpam-6144	7	5	are	be	AUX
ejpam-6144	7	6	estimated	estimate	VERB
ejpam-6144	7	7	using	use	VERB
ejpam-6144	7	8	the	the	DET
ejpam-6144	7	9	maximum	maximum	ADJ
ejpam-6144	7	10	likelihood	likelihood	NOUN
ejpam-6144	7	11	estimation	estimation	NOUN
ejpam-6144	7	12	method	method	NOUN
ejpam-6144	7	13	,	,	PUNCT
ejpam-6144	7	14	and	and	CCONJ
ejpam-6144	7	15	a	a	DET
ejpam-6144	7	16	thorough	thorough	ADJ
ejpam-6144	7	17	simulation	simulation	NOUN
ejpam-6144	7	18	study	study	NOUN
ejpam-6144	7	19	assesses	assess	VERB
ejpam-6144	7	20	the	the	DET
ejpam-6144	7	21	accuracy	accuracy	NOUN
ejpam-6144	7	22	and	and	CCONJ
ejpam-6144	7	23	efficiency	efficiency	NOUN
ejpam-6144	7	24	of	of	ADP
ejpam-6144	7	25	the	the	DET
ejpam-6144	7	26	estimators	estimator	NOUN
ejpam-6144	7	27	across	across	ADP
ejpam-6144	7	28	various	various	ADJ
ejpam-6144	7	29	sample	sample	NOUN
ejpam-6144	7	30	sizes	size	NOUN
ejpam-6144	7	31	.	.	PUNCT
ejpam-6144	8	1	to	to	PART
ejpam-6144	8	2	illustrate	illustrate	VERB
ejpam-6144	8	3	its	its	PRON
ejpam-6144	8	4	practical	practical	ADJ
ejpam-6144	8	5	relevance	relevance	NOUN
ejpam-6144	8	6	,	,	PUNCT
ejpam-6144	8	7	the	the	DET
ejpam-6144	8	8	model	model	NOUN
ejpam-6144	8	9	is	be	AUX
ejpam-6144	8	10	applied	apply	VERB
ejpam-6144	8	11	to	to	ADP
ejpam-6144	8	12	three	three	NUM
ejpam-6144	8	13	real	real	ADJ
ejpam-6144	8	14	-	-	PUNCT
ejpam-6144	8	15	world	world	NOUN
ejpam-6144	8	16	datasets	dataset	NOUN
ejpam-6144	8	17	,	,	PUNCT
ejpam-6144	8	18	demonstrating	demonstrate	VERB
ejpam-6144	8	19	its	its	PRON
ejpam-6144	8	20	superior	superior	ADJ
ejpam-6144	8	21	flexibility	flexibility	NOUN
ejpam-6144	8	22	and	and	CCONJ
ejpam-6144	8	23	robustness	robustness	NOUN
ejpam-6144	8	24	in	in	ADP
ejpam-6144	8	25	capturing	capture	VERB
ejpam-6144	8	26	complex	complex	ADJ
ejpam-6144	8	27	data	datum	NOUN
ejpam-6144	8	28	structures	structure	NOUN
ejpam-6144	8	29	compared	compare	VERB
ejpam-6144	8	30	to	to	ADP
ejpam-6144	8	31	existing	exist	VERB
ejpam-6144	8	32	models	model	NOUN
ejpam-6144	8	33	.	.	PUNCT
ejpam-6144	9	1	these	these	DET
ejpam-6144	9	2	findings	finding	NOUN
ejpam-6144	9	3	underscore	underscore	VERB
ejpam-6144	9	4	the	the	DET
ejpam-6144	9	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	9	6	model	model	NOUN
ejpam-6144	9	7	’s	’s	PART
ejpam-6144	9	8	effectiveness	effectiveness	NOUN
ejpam-6144	9	9	in	in	ADP
ejpam-6144	9	10	advancing	advance	VERB
ejpam-6144	9	11	discrete	discrete	ADJ
ejpam-6144	9	12	data	datum	NOUN
ejpam-6144	9	13	modeling	modeling	NOUN
ejpam-6144	9	14	and	and	CCONJ
ejpam-6144	9	15	analysis	analysis	NOUN
ejpam-6144	9	16	.	.	PUNCT
ejpam-6144	10	1	2020	2020	NUM
ejpam-6144	10	2	mathematics	mathematic	NOUN
ejpam-6144	10	3	subject	subject	NOUN
ejpam-6144	10	4	classifications	classification	NOUN
ejpam-6144	10	5	:	:	PUNCT
ejpam-6144	10	6	62e15	62e15	NUM
ejpam-6144	10	7	,	,	PUNCT
ejpam-6144	10	8	62f10	62f10	NUM
ejpam-6144	10	9	key	key	ADJ
ejpam-6144	10	10	words	word	NOUN
ejpam-6144	10	11	and	and	CCONJ
ejpam-6144	10	12	phrases	phrase	NOUN
ejpam-6144	10	13	:	:	PUNCT
ejpam-6144	10	14	statistical	statistical	ADJ
ejpam-6144	10	15	model	model	NOUN
ejpam-6144	10	16	,	,	PUNCT
ejpam-6144	10	17	order	order	NOUN
ejpam-6144	10	18	statistics	statistic	NOUN
ejpam-6144	10	19	,	,	PUNCT
ejpam-6144	10	20	reliability	reliability	NOUN
ejpam-6144	10	21	theory	theory	NOUN
ejpam-6144	10	22	,	,	PUNCT
ejpam-6144	10	23	estimation	estimation	NOUN
ejpam-6144	10	24	,	,	PUNCT
ejpam-6144	10	25	simulation	simulation	NOUN
ejpam-6144	10	26	,	,	PUNCT
ejpam-6144	10	27	data	data	VERB
ejpam-6144	10	28	analysis	analysis	NOUN
ejpam-6144	10	29	1	1	NUM
ejpam-6144	10	30	.	.	PUNCT
ejpam-6144	11	1	introduction	introduction	NOUN
ejpam-6144	11	2	sustainable	sustainable	ADJ
ejpam-6144	11	3	dispersion	dispersion	NOUN
ejpam-6144	11	4	data	datum	NOUN
ejpam-6144	11	5	modeling	modeling	NOUN
ejpam-6144	11	6	has	have	AUX
ejpam-6144	11	7	become	become	VERB
ejpam-6144	11	8	increasingly	increasingly	ADV
ejpam-6144	11	9	essential	essential	ADJ
ejpam-6144	11	10	in	in	ADP
ejpam-6144	11	11	response	response	NOUN
ejpam-6144	11	12	to	to	ADP
ejpam-6144	11	13	the	the	DET
ejpam-6144	11	14	exponential	exponential	ADJ
ejpam-6144	11	15	surge	surge	NOUN
ejpam-6144	11	16	in	in	ADP
ejpam-6144	11	17	real	real	ADJ
ejpam-6144	11	18	-	-	PUNCT
ejpam-6144	11	19	world	world	NOUN
ejpam-6144	11	20	data	datum	NOUN
ejpam-6144	11	21	,	,	PUNCT
ejpam-6144	11	22	driven	drive	VERB
ejpam-6144	11	23	by	by	ADP
ejpam-6144	11	24	technological	technological	ADJ
ejpam-6144	11	25	advancements	advancement	NOUN
ejpam-6144	11	26	and	and	CCONJ
ejpam-6144	11	27	digital	digital	ADJ
ejpam-6144	11	28	innovation	innovation	NOUN
ejpam-6144	11	29	.	.	PUNCT
ejpam-6144	12	1	the	the	DET
ejpam-6144	12	2	growing	grow	VERB
ejpam-6144	12	3	complexity	complexity	NOUN
ejpam-6144	12	4	of	of	ADP
ejpam-6144	12	5	data	datum	NOUN
ejpam-6144	12	6	structures	structure	NOUN
ejpam-6144	12	7	presents	present	VERB
ejpam-6144	12	8	significant	significant	ADJ
ejpam-6144	12	9	challenges	challenge	NOUN
ejpam-6144	12	10	,	,	PUNCT
ejpam-6144	12	11	as	as	SCONJ
ejpam-6144	12	12	conventional	conventional	ADJ
ejpam-6144	12	13	probability	probability	NOUN
ejpam-6144	12	14	models	model	NOUN
ejpam-6144	12	15	often	often	ADV
ejpam-6144	12	16	fail	fail	VERB
ejpam-6144	12	17	to	to	PART
ejpam-6144	12	18	capture	capture	VERB
ejpam-6144	12	19	the	the	DET
ejpam-6144	12	20	intricate	intricate	ADJ
ejpam-6144	12	21	dependencies	dependency	NOUN
ejpam-6144	12	22	,	,	PUNCT
ejpam-6144	12	23	∗corresponding	∗corresponde	VERB
ejpam-6144	12	24	author	author	NOUN
ejpam-6144	12	25	.	.	PUNCT
ejpam-6144	13	1	doi	doi	NOUN
ejpam-6144	13	2	:	:	PUNCT
ejpam-6144	13	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6144	https://doi.org/10.29020/nybg.ejpam.v18i2.6144	PROPN
ejpam-6144	13	4	email	email	NOUN
ejpam-6144	13	5	address	address	NOUN
ejpam-6144	13	6	:	:	PUNCT
ejpam-6144	13	7	m.eliwa@qu.edu.sa	m.eliwa@qu.edu.sa	PROPN
ejpam-6144	13	8	(	(	PUNCT
ejpam-6144	13	9	m.	m.	PROPN
ejpam-6144	13	10	s.	s.	PROPN
ejpam-6144	13	11	eliwa	eliwa	PROPN
ejpam-6144	13	12	)	)	PUNCT
ejpam-6144	13	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6144	14	1	1	1	NUM
ejpam-6144	14	2	copyright	copyright	NOUN
ejpam-6144	14	3	:	:	PUNCT
ejpam-6144	14	4	©	©	PROPN
ejpam-6144	14	5	2025	2025	NUM
ejpam-6144	14	6	the	the	DET
ejpam-6144	14	7	author(s	author(s	NOUN
ejpam-6144	14	8	)	)	PUNCT
ejpam-6144	14	9	.	.	PUNCT
ejpam-6144	15	1	(	(	PUNCT
ejpam-6144	15	2	cc	cc	NOUN
ejpam-6144	15	3	by	by	ADP
ejpam-6144	15	4	-	-	PUNCT
ejpam-6144	15	5	nc	nc	PROPN
ejpam-6144	15	6	4.0	4.0	NUM
ejpam-6144	15	7	)	)	PUNCT
ejpam-6144	15	8	m.	m.	NOUN
ejpam-6144	15	9	s.	s.	PROPN
ejpam-6144	15	10	eliwa	eliwa	PROPN
ejpam-6144	15	11	,	,	PUNCT
ejpam-6144	15	12	w.	w.	PROPN
ejpam-6144	15	13	e.	e.	PROPN
ejpam-6144	15	14	alghanem	alghanem	PROPN
ejpam-6144	15	15	,	,	PUNCT
ejpam-6144	15	16	m.	m.	NOUN
ejpam-6144	15	17	a.	a.	NOUN
ejpam-6144	15	18	alenizi	alenizi	PROPN
ejpam-6144	15	19	/	/	SYM
ejpam-6144	15	20	eur	eur	PROPN
ejpam-6144	15	21	.	.	PUNCT
ejpam-6144	16	1	j.	j.	PROPN
ejpam-6144	16	2	pure	pure	PROPN
ejpam-6144	16	3	appl	appl	PROPN
ejpam-6144	16	4	.	.	PROPN
ejpam-6144	16	5	math	math	PROPN
ejpam-6144	16	6	,	,	PUNCT
ejpam-6144	16	7	18	18	NUM
ejpam-6144	16	8	(	(	PUNCT
ejpam-6144	16	9	2	2	NUM
ejpam-6144	16	10	)	)	PUNCT
ejpam-6144	16	11	(	(	PUNCT
ejpam-6144	16	12	2025	2025	NUM
ejpam-6144	16	13	)	)	PUNCT
ejpam-6144	16	14	,	,	PUNCT
ejpam-6144	16	15	6144	6144	NUM
ejpam-6144	16	16	2	2	NUM
ejpam-6144	16	17	of	of	ADP
ejpam-6144	16	18	26	26	NUM
ejpam-6144	16	19	stochastic	stochastic	ADJ
ejpam-6144	16	20	variations	variation	NOUN
ejpam-6144	16	21	,	,	PUNCT
ejpam-6144	16	22	and	and	CCONJ
ejpam-6144	16	23	nonlinear	nonlinear	ADJ
ejpam-6144	16	24	trends	trend	NOUN
ejpam-6144	16	25	observed	observe	VERB
ejpam-6144	16	26	across	across	ADP
ejpam-6144	16	27	diverse	diverse	ADJ
ejpam-6144	16	28	fields	field	NOUN
ejpam-6144	16	29	such	such	ADJ
ejpam-6144	16	30	as	as	ADP
ejpam-6144	16	31	engineering	engineering	NOUN
ejpam-6144	16	32	,	,	PUNCT
ejpam-6144	16	33	epidemiology	epidemiology	NOUN
ejpam-6144	16	34	,	,	PUNCT
ejpam-6144	16	35	finance	finance	NOUN
ejpam-6144	16	36	,	,	PUNCT
ejpam-6144	16	37	and	and	CCONJ
ejpam-6144	16	38	actuarial	actuarial	ADJ
ejpam-6144	16	39	sciences	science	NOUN
ejpam-6144	16	40	.	.	PUNCT
ejpam-6144	17	1	this	this	DET
ejpam-6144	17	2	limitation	limitation	NOUN
ejpam-6144	17	3	underscores	underscore	VERB
ejpam-6144	17	4	the	the	DET
ejpam-6144	17	5	need	need	NOUN
ejpam-6144	17	6	for	for	ADP
ejpam-6144	17	7	advanced	advanced	ADJ
ejpam-6144	17	8	probabilistic	probabilistic	ADJ
ejpam-6144	17	9	frameworks	framework	NOUN
ejpam-6144	17	10	that	that	PRON
ejpam-6144	17	11	provide	provide	VERB
ejpam-6144	17	12	greater	great	ADJ
ejpam-6144	17	13	flexibility	flexibility	NOUN
ejpam-6144	17	14	and	and	CCONJ
ejpam-6144	17	15	adaptability	adaptability	NOUN
ejpam-6144	17	16	for	for	ADP
ejpam-6144	17	17	robust	robust	ADJ
ejpam-6144	17	18	data	datum	NOUN
ejpam-6144	17	19	analysis	analysis	NOUN
ejpam-6144	17	20	.	.	PUNCT
ejpam-6144	18	1	among	among	ADP
ejpam-6144	18	2	the	the	DET
ejpam-6144	18	3	well	well	ADV
ejpam-6144	18	4	-	-	PUNCT
ejpam-6144	18	5	explored	explore	VERB
ejpam-6144	18	6	models	model	NOUN
ejpam-6144	18	7	in	in	ADP
ejpam-6144	18	8	statistical	statistical	ADJ
ejpam-6144	18	9	and	and	CCONJ
ejpam-6144	18	10	applied	apply	VERB
ejpam-6144	18	11	probability	probability	NOUN
ejpam-6144	18	12	research	research	NOUN
ejpam-6144	18	13	is	be	AUX
ejpam-6144	18	14	the	the	DET
ejpam-6144	18	15	gompertz	gompertz	NOUN
ejpam-6144	18	16	(	(	PUNCT
ejpam-6144	18	17	gz	gz	NOUN
ejpam-6144	18	18	)	)	PUNCT
ejpam-6144	18	19	distribution	distribution	NOUN
ejpam-6144	18	20	a	a	DET
ejpam-6144	18	21	continuous	continuous	ADJ
ejpam-6144	18	22	probability	probability	NOUN
ejpam-6144	18	23	distribution	distribution	NOUN
ejpam-6144	18	24	that	that	PRON
ejpam-6144	18	25	extends	extend	VERB
ejpam-6144	18	26	the	the	DET
ejpam-6144	18	27	exponential	exponential	ADJ
ejpam-6144	18	28	model	model	NOUN
ejpam-6144	18	29	by	by	ADP
ejpam-6144	18	30	introducing	introduce	VERB
ejpam-6144	18	31	an	an	DET
ejpam-6144	18	32	additional	additional	ADJ
ejpam-6144	18	33	shape	shape	NOUN
ejpam-6144	18	34	parameter	parameter	NOUN
ejpam-6144	18	35	.	.	PUNCT
ejpam-6144	19	1	this	this	DET
ejpam-6144	19	2	modification	modification	NOUN
ejpam-6144	19	3	enhances	enhance	VERB
ejpam-6144	19	4	its	its	PRON
ejpam-6144	19	5	ability	ability	NOUN
ejpam-6144	19	6	to	to	PART
ejpam-6144	19	7	model	model	VERB
ejpam-6144	19	8	a	a	DET
ejpam-6144	19	9	wide	wide	ADJ
ejpam-6144	19	10	range	range	NOUN
ejpam-6144	19	11	of	of	ADP
ejpam-6144	19	12	real	real	ADJ
ejpam-6144	19	13	-	-	PUNCT
ejpam-6144	19	14	world	world	NOUN
ejpam-6144	19	15	phenomena	phenomenon	NOUN
ejpam-6144	19	16	,	,	PUNCT
ejpam-6144	19	17	particularly	particularly	ADV
ejpam-6144	19	18	those	those	PRON
ejpam-6144	19	19	characterized	characterize	VERB
ejpam-6144	19	20	by	by	ADP
ejpam-6144	19	21	dynamic	dynamic	ADJ
ejpam-6144	19	22	hazard	hazard	NOUN
ejpam-6144	19	23	rates	rate	NOUN
ejpam-6144	19	24	.	.	PUNCT
ejpam-6144	20	1	due	due	ADP
ejpam-6144	20	2	to	to	ADP
ejpam-6144	20	3	its	its	PRON
ejpam-6144	20	4	structural	structural	ADJ
ejpam-6144	20	5	advantages	advantage	NOUN
ejpam-6144	20	6	,	,	PUNCT
ejpam-6144	20	7	the	the	DET
ejpam-6144	20	8	gz	gz	NOUN
ejpam-6144	20	9	distribution	distribution	NOUN
ejpam-6144	20	10	has	have	AUX
ejpam-6144	20	11	been	be	AUX
ejpam-6144	20	12	extensively	extensively	ADV
ejpam-6144	20	13	applied	apply	VERB
ejpam-6144	20	14	across	across	ADP
ejpam-6144	20	15	scientific	scientific	ADJ
ejpam-6144	20	16	and	and	CCONJ
ejpam-6144	20	17	practical	practical	ADJ
ejpam-6144	20	18	domains	domain	NOUN
ejpam-6144	20	19	,	,	PUNCT
ejpam-6144	20	20	particularly	particularly	ADV
ejpam-6144	20	21	in	in	ADP
ejpam-6144	20	22	modeling	model	VERB
ejpam-6144	20	23	lifetime	lifetime	NOUN
ejpam-6144	20	24	and	and	CCONJ
ejpam-6144	20	25	failure	failure	NOUN
ejpam-6144	20	26	rates	rate	NOUN
ejpam-6144	20	27	.	.	PUNCT
ejpam-6144	21	1	in	in	ADP
ejpam-6144	21	2	demography	demography	NOUN
ejpam-6144	21	3	and	and	CCONJ
ejpam-6144	21	4	actuarial	actuarial	ADJ
ejpam-6144	21	5	science	science	NOUN
ejpam-6144	21	6	,	,	PUNCT
ejpam-6144	21	7	it	it	PRON
ejpam-6144	21	8	is	be	AUX
ejpam-6144	21	9	frequently	frequently	ADV
ejpam-6144	21	10	employed	employ	VERB
ejpam-6144	21	11	to	to	PART
ejpam-6144	21	12	describe	describe	VERB
ejpam-6144	21	13	adult	adult	NOUN
ejpam-6144	21	14	lifespan	lifespan	NOUN
ejpam-6144	21	15	distributions	distribution	NOUN
ejpam-6144	21	16	,	,	PUNCT
ejpam-6144	21	17	offering	offer	VERB
ejpam-6144	21	18	critical	critical	ADJ
ejpam-6144	21	19	insights	insight	NOUN
ejpam-6144	21	20	into	into	ADP
ejpam-6144	21	21	mortality	mortality	NOUN
ejpam-6144	21	22	patterns	pattern	NOUN
ejpam-6144	21	23	and	and	CCONJ
ejpam-6144	21	24	life	life	NOUN
ejpam-6144	21	25	expectancy	expectancy	NOUN
ejpam-6144	21	26	.	.	PUNCT
ejpam-6144	22	1	similarly	similarly	ADV
ejpam-6144	22	2	,	,	PUNCT
ejpam-6144	22	3	in	in	ADP
ejpam-6144	22	4	biology	biology	NOUN
ejpam-6144	22	5	and	and	CCONJ
ejpam-6144	22	6	gerontology	gerontology	NOUN
ejpam-6144	22	7	,	,	PUNCT
ejpam-6144	22	8	researchers	researcher	NOUN
ejpam-6144	22	9	utilize	utilize	VERB
ejpam-6144	22	10	the	the	DET
ejpam-6144	22	11	gz	gz	NOUN
ejpam-6144	22	12	distribution	distribution	NOUN
ejpam-6144	22	13	for	for	ADP
ejpam-6144	22	14	survival	survival	NOUN
ejpam-6144	22	15	analysis	analysis	NOUN
ejpam-6144	22	16	,	,	PUNCT
ejpam-6144	22	17	especially	especially	ADV
ejpam-6144	22	18	in	in	ADP
ejpam-6144	22	19	aging	age	VERB
ejpam-6144	22	20	studies	study	NOUN
ejpam-6144	22	21	and	and	CCONJ
ejpam-6144	22	22	biological	biological	ADJ
ejpam-6144	22	23	lifespan	lifespan	NOUN
ejpam-6144	22	24	modeling	modeling	NOUN
ejpam-6144	22	25	.	.	PUNCT
ejpam-6144	23	1	formally	formally	ADV
ejpam-6144	23	2	,	,	PUNCT
ejpam-6144	23	3	a	a	DET
ejpam-6144	23	4	random	random	ADJ
ejpam-6144	23	5	variable	variable	NOUN
ejpam-6144	23	6	t	t	PROPN
ejpam-6144	23	7	is	be	AUX
ejpam-6144	23	8	said	say	VERB
ejpam-6144	23	9	to	to	PART
ejpam-6144	23	10	follow	follow	VERB
ejpam-6144	23	11	the	the	DET
ejpam-6144	23	12	gz	gz	NOUN
ejpam-6144	23	13	model	model	NOUN
ejpam-6144	23	14	with	with	ADP
ejpam-6144	23	15	a	a	DET
ejpam-6144	23	16	shape	shape	NOUN
ejpam-6144	23	17	parameter	parameter	NOUN
ejpam-6144	23	18	ϖ	ϖ	PROPN
ejpam-6144	23	19	>	>	PUNCT
ejpam-6144	23	20	0	0	NUM
ejpam-6144	23	21	and	and	CCONJ
ejpam-6144	23	22	scale	scale	NOUN
ejpam-6144	23	23	parameter	parameter	NOUN
ejpam-6144	23	24	τ	τ	PROPN
ejpam-6144	23	25	>	>	X
ejpam-6144	23	26	0	0	PUNCT
ejpam-6144	24	1	if	if	SCONJ
ejpam-6144	24	2	its	its	PRON
ejpam-6144	24	3	cumulative	cumulative	ADJ
ejpam-6144	24	4	distribution	distribution	NOUN
ejpam-6144	24	5	function	function	NOUN
ejpam-6144	24	6	(	(	PUNCT
ejpam-6144	24	7	cdf	cdf	PROPN
ejpam-6144	24	8	)	)	PUNCT
ejpam-6144	24	9	is	be	AUX
ejpam-6144	24	10	given	give	VERB
ejpam-6144	24	11	by	by	ADP
ejpam-6144	24	12	l(t;ϖ	l(t;ϖ	PROPN
ejpam-6144	24	13	,	,	PUNCT
ejpam-6144	24	14	τ	τ	X
ejpam-6144	24	15	)	)	PUNCT
ejpam-6144	24	16	=	=	SYM
ejpam-6144	25	1	1−	1−	NUM
ejpam-6144	25	2	e−	e−	NUM
ejpam-6144	25	3	ϖ	ϖ	PROPN
ejpam-6144	25	4	τ	τ	X
ejpam-6144	25	5	(	(	PUNCT
ejpam-6144	25	6	eτt−1	eτt−1	PROPN
ejpam-6144	25	7	)	)	PUNCT
ejpam-6144	25	8	;	;	PUNCT
ejpam-6144	26	1	t	t	X
ejpam-6144	26	2	>	>	X
ejpam-6144	26	3	0	0	NUM
ejpam-6144	26	4	.	.	PUNCT
ejpam-6144	27	1	(	(	PUNCT
ejpam-6144	27	2	1	1	X
ejpam-6144	27	3	)	)	PUNCT
ejpam-6144	27	4	this	this	DET
ejpam-6144	27	5	formulation	formulation	NOUN
ejpam-6144	27	6	underscores	underscore	VERB
ejpam-6144	27	7	the	the	DET
ejpam-6144	27	8	versatility	versatility	NOUN
ejpam-6144	27	9	of	of	ADP
ejpam-6144	27	10	the	the	DET
ejpam-6144	27	11	gz	gz	NOUN
ejpam-6144	27	12	distribution	distribution	NOUN
ejpam-6144	27	13	in	in	ADP
ejpam-6144	27	14	modeling	model	VERB
ejpam-6144	27	15	diverse	diverse	ADJ
ejpam-6144	27	16	data	datum	NOUN
ejpam-6144	27	17	patterns	pattern	NOUN
ejpam-6144	27	18	,	,	PUNCT
ejpam-6144	27	19	particularly	particularly	ADV
ejpam-6144	27	20	in	in	ADP
ejpam-6144	27	21	contexts	context	NOUN
ejpam-6144	27	22	characterized	characterize	VERB
ejpam-6144	27	23	by	by	ADP
ejpam-6144	27	24	increasing	increase	VERB
ejpam-6144	27	25	failure	failure	NOUN
ejpam-6144	27	26	rates	rate	NOUN
ejpam-6144	27	27	and	and	CCONJ
ejpam-6144	27	28	non	non	ADJ
ejpam-6144	27	29	-	-	ADJ
ejpam-6144	27	30	constant	constant	ADJ
ejpam-6144	27	31	hazard	hazard	NOUN
ejpam-6144	27	32	functions	function	NOUN
ejpam-6144	27	33	.	.	PUNCT
ejpam-6144	28	1	beyond	beyond	ADP
ejpam-6144	28	2	its	its	PRON
ejpam-6144	28	3	conventional	conventional	ADJ
ejpam-6144	28	4	applications	application	NOUN
ejpam-6144	28	5	,	,	PUNCT
ejpam-6144	28	6	the	the	DET
ejpam-6144	28	7	gz	gz	NOUN
ejpam-6144	28	8	distribution	distribution	NOUN
ejpam-6144	28	9	has	have	AUX
ejpam-6144	28	10	been	be	AUX
ejpam-6144	28	11	increasingly	increasingly	ADV
ejpam-6144	28	12	utilized	utilize	VERB
ejpam-6144	28	13	in	in	ADP
ejpam-6144	28	14	computational	computational	ADJ
ejpam-6144	28	15	sciences	science	NOUN
ejpam-6144	28	16	to	to	ADP
ejpam-6144	28	17	model	model	NOUN
ejpam-6144	28	18	software	software	NOUN
ejpam-6144	28	19	failure	failure	NOUN
ejpam-6144	28	20	rates	rate	NOUN
ejpam-6144	28	21	,	,	PUNCT
ejpam-6144	28	22	contributing	contribute	VERB
ejpam-6144	28	23	to	to	ADP
ejpam-6144	28	24	software	software	NOUN
ejpam-6144	28	25	reliability	reliability	NOUN
ejpam-6144	28	26	assessment	assessment	NOUN
ejpam-6144	28	27	.	.	PUNCT
ejpam-6144	29	1	for	for	ADP
ejpam-6144	29	2	a	a	DET
ejpam-6144	29	3	comprehensive	comprehensive	ADJ
ejpam-6144	29	4	exploration	exploration	NOUN
ejpam-6144	29	5	of	of	ADP
ejpam-6144	29	6	its	its	PRON
ejpam-6144	29	7	applications	application	NOUN
ejpam-6144	29	8	,	,	PUNCT
ejpam-6144	29	9	see	see	VERB
ejpam-6144	29	10	cordeiro	cordeiro	PROPN
ejpam-6144	29	11	et	et	PROPN
ejpam-6144	29	12	al	al	PROPN
ejpam-6144	29	13	.	.	PUNCT
ejpam-6144	30	1	[	[	X
ejpam-6144	30	2	5	5	NUM
ejpam-6144	30	3	]	]	PUNCT
ejpam-6144	30	4	,	,	PUNCT
ejpam-6144	30	5	roozegar	roozegar	NOUN
ejpam-6144	30	6	et	et	PROPN
ejpam-6144	30	7	al.[23	al.[23	PROPN
ejpam-6144	30	8	]	]	PUNCT
ejpam-6144	30	9	,	,	PUNCT
ejpam-6144	30	10	mazucheli	mazucheli	PROPN
ejpam-6144	30	11	et	et	PROPN
ejpam-6144	30	12	al	al	PROPN
ejpam-6144	30	13	.	.	PUNCT
ejpam-6144	31	1	[	[	X
ejpam-6144	31	2	8	8	NUM
ejpam-6144	31	3	]	]	PUNCT
ejpam-6144	31	4	,	,	PUNCT
ejpam-6144	31	5	eliwa	eliwa	VERB
ejpam-6144	31	6	et	et	PROPN
ejpam-6144	31	7	al	al	PROPN
ejpam-6144	31	8	.	.	PUNCT
ejpam-6144	32	1	[	[	X
ejpam-6144	32	2	19	19	NUM
ejpam-6144	32	3	]	]	PUNCT
ejpam-6144	32	4	,	,	PUNCT
ejpam-6144	32	5	bantan	bantan	PROPN
ejpam-6144	32	6	et	et	PROPN
ejpam-6144	32	7	al	al	PROPN
ejpam-6144	32	8	.	.	PUNCT
ejpam-6144	33	1	[	[	X
ejpam-6144	33	2	22	22	NUM
ejpam-6144	33	3	]	]	PUNCT
ejpam-6144	33	4	,	,	PUNCT
ejpam-6144	33	5	wang	wang	PROPN
ejpam-6144	33	6	and	and	CCONJ
ejpam-6144	33	7	guo	guo	PROPN
ejpam-6144	34	1	[	[	X
ejpam-6144	34	2	10	10	NUM
ejpam-6144	34	3	]	]	PUNCT
ejpam-6144	34	4	,	,	PUNCT
ejpam-6144	34	5	alizadeh	alizadeh	PROPN
ejpam-6144	34	6	et	et	PROPN
ejpam-6144	34	7	al	al	PROPN
ejpam-6144	34	8	.	.	PUNCT
ejpam-6144	35	1	[	[	X
ejpam-6144	35	2	13	13	NUM
ejpam-6144	35	3	]	]	PUNCT
ejpam-6144	35	4	,	,	PUNCT
ejpam-6144	35	5	hassan	hassan	PROPN
ejpam-6144	35	6	and	and	CCONJ
ejpam-6144	35	7	abdelghaffar	abdelghaffar	ADV
ejpam-6144	35	8	[	[	X
ejpam-6144	35	9	26	26	NUM
ejpam-6144	35	10	]	]	PUNCT
ejpam-6144	35	11	,	,	PUNCT
ejpam-6144	35	12	among	among	ADP
ejpam-6144	35	13	others	other	NOUN
ejpam-6144	35	14	.	.	PUNCT
ejpam-6144	36	1	building	build	VERB
ejpam-6144	36	2	upon	upon	SCONJ
ejpam-6144	36	3	the	the	DET
ejpam-6144	36	4	fundamental	fundamental	ADJ
ejpam-6144	36	5	structure	structure	NOUN
ejpam-6144	36	6	of	of	ADP
ejpam-6144	36	7	the	the	DET
ejpam-6144	36	8	gz	gz	NOUN
ejpam-6144	36	9	distribution	distribution	NOUN
ejpam-6144	36	10	,	,	PUNCT
ejpam-6144	36	11	alizadeh	alizadeh	NOUN
ejpam-6144	36	12	et	et	PROPN
ejpam-6144	36	13	al	al	PROPN
ejpam-6144	36	14	.	.	PUNCT
ejpam-6144	37	1	[	[	X
ejpam-6144	37	2	12	12	NUM
ejpam-6144	37	3	]	]	PUNCT
ejpam-6144	37	4	introduced	introduce	VERB
ejpam-6144	37	5	the	the	DET
ejpam-6144	37	6	gz	gz	PROPN
ejpam-6144	37	7	-	-	PUNCT
ejpam-6144	37	8	g	g	NOUN
ejpam-6144	37	9	family	family	NOUN
ejpam-6144	37	10	using	use	VERB
ejpam-6144	37	11	the	the	DET
ejpam-6144	37	12	methodological	methodological	ADJ
ejpam-6144	37	13	framework	framework	NOUN
ejpam-6144	37	14	developed	develop	VERB
ejpam-6144	37	15	by	by	ADP
ejpam-6144	37	16	alzaatreh	alzaatreh	NOUN
ejpam-6144	37	17	et	et	PROPN
ejpam-6144	37	18	al	al	PROPN
ejpam-6144	37	19	.	.	PUNCT
ejpam-6144	38	1	[	[	X
ejpam-6144	38	2	1	1	NUM
ejpam-6144	38	3	]	]	PUNCT
ejpam-6144	38	4	.	.	PUNCT
ejpam-6144	39	1	the	the	DET
ejpam-6144	39	2	latter	latter	ADJ
ejpam-6144	39	3	proposed	propose	VERB
ejpam-6144	39	4	the	the	DET
ejpam-6144	39	5	transformed	transform	VERB
ejpam-6144	39	6	-	-	PUNCT
ejpam-6144	39	7	transformer	transformer	NOUN
ejpam-6144	39	8	family	family	NOUN
ejpam-6144	39	9	,	,	PUNCT
ejpam-6144	39	10	a	a	DET
ejpam-6144	39	11	general	general	ADJ
ejpam-6144	39	12	approach	approach	NOUN
ejpam-6144	39	13	for	for	ADP
ejpam-6144	39	14	constructing	construct	VERB
ejpam-6144	39	15	new	new	ADJ
ejpam-6144	39	16	probability	probability	NOUN
ejpam-6144	39	17	distributions	distribution	NOUN
ejpam-6144	39	18	with	with	ADP
ejpam-6144	39	19	enhanced	enhanced	ADJ
ejpam-6144	39	20	adaptability	adaptability	NOUN
ejpam-6144	39	21	.	.	PUNCT
ejpam-6144	40	1	accordingly	accordingly	ADV
ejpam-6144	40	2	,	,	PUNCT
ejpam-6144	40	3	a	a	DET
ejpam-6144	40	4	random	random	ADJ
ejpam-6144	40	5	variable	variable	NOUN
ejpam-6144	40	6	y	y	PROPN
ejpam-6144	40	7	follows	follow	VERB
ejpam-6144	40	8	the	the	DET
ejpam-6144	40	9	gz	gz	PROPN
ejpam-6144	40	10	-	-	PUNCT
ejpam-6144	40	11	g	g	NOUN
ejpam-6144	40	12	family	family	NOUN
ejpam-6144	40	13	if	if	SCONJ
ejpam-6144	40	14	its	its	PRON
ejpam-6144	40	15	cdf	cdf	PROPN
ejpam-6144	40	16	is	be	AUX
ejpam-6144	40	17	given	give	VERB
ejpam-6144	40	18	by	by	ADP
ejpam-6144	40	19	θ(y;ϖ	θ(y;ϖ	PROPN
ejpam-6144	40	20	,	,	PUNCT
ejpam-6144	40	21	τ	τ	PROPN
ejpam-6144	40	22	,	,	PUNCT
ejpam-6144	40	23	ω	ω	NOUN
ejpam-6144	40	24	)	)	PUNCT
ejpam-6144	40	25	=	=	SYM
ejpam-6144	41	1	1−	1−	NUM
ejpam-6144	42	1	e−	e−	NUM
ejpam-6144	42	2	ϖ	ϖ	X
ejpam-6144	42	3	τ	τ	X
ejpam-6144	42	4	{	{	PUNCT
ejpam-6144	42	5	[	[	X
ejpam-6144	42	6	1−g(y;ω)]−τ−1	1−g(y;ω)]−τ−1	NUM
ejpam-6144	42	7	}	}	PUNCT
ejpam-6144	42	8	;	;	PUNCT
ejpam-6144	42	9	y	y	PROPN
ejpam-6144	42	10	>	>	X
ejpam-6144	42	11	0	0	NUM
ejpam-6144	42	12	,	,	PUNCT
ejpam-6144	42	13	(	(	PUNCT
ejpam-6144	42	14	2	2	X
ejpam-6144	42	15	)	)	PUNCT
ejpam-6144	42	16	where	where	SCONJ
ejpam-6144	42	17	ω	ω	PROPN
ejpam-6144	42	18	is	be	AUX
ejpam-6144	42	19	a	a	DET
ejpam-6144	42	20	vector	vector	NOUN
ejpam-6144	42	21	of	of	ADP
ejpam-6144	42	22	parameters	parameter	NOUN
ejpam-6144	42	23	(	(	PUNCT
ejpam-6144	42	24	1	1	NUM
ejpam-6144	42	25	×	×	NOUN
ejpam-6144	42	26	m;m	m;m	NOUN
ejpam-6144	42	27	=	=	SYM
ejpam-6144	42	28	1	1	NUM
ejpam-6144	42	29	,	,	PUNCT
ejpam-6144	42	30	2	2	NUM
ejpam-6144	42	31	,	,	PUNCT
ejpam-6144	42	32	3	3	NUM
ejpam-6144	42	33	,	,	PUNCT
ejpam-6144	42	34	...	...	PUNCT
ejpam-6144	42	35	)	)	PUNCT
ejpam-6144	42	36	,	,	PUNCT
ejpam-6144	42	37	and	and	CCONJ
ejpam-6144	42	38	g(y;ω	g(y;ω	PROPN
ejpam-6144	42	39	)	)	PUNCT
ejpam-6144	42	40	is	be	AUX
ejpam-6144	42	41	the	the	DET
ejpam-6144	42	42	baseline	baseline	PROPN
ejpam-6144	42	43	cdf	cdf	PROPN
ejpam-6144	42	44	.	.	PUNCT
ejpam-6144	43	1	the	the	DET
ejpam-6144	43	2	reliability	reliability	NOUN
ejpam-6144	43	3	function	function	NOUN
ejpam-6144	43	4	(	(	PUNCT
ejpam-6144	43	5	rf	rf	NOUN
ejpam-6144	43	6	)	)	PUNCT
ejpam-6144	43	7	of	of	ADP
ejpam-6144	43	8	the	the	DET
ejpam-6144	43	9	gz	gz	PROPN
ejpam-6144	43	10	-	-	PUNCT
ejpam-6144	43	11	g	g	NOUN
ejpam-6144	43	12	family	family	NOUN
ejpam-6144	43	13	can	can	AUX
ejpam-6144	43	14	be	be	AUX
ejpam-6144	43	15	formulated	formulate	VERB
ejpam-6144	43	16	as	as	ADP
ejpam-6144	43	17	θ(y;ϖ	θ(y;ϖ	PROPN
ejpam-6144	43	18	,	,	PUNCT
ejpam-6144	43	19	τ	τ	PROPN
ejpam-6144	43	20	,	,	PUNCT
ejpam-6144	43	21	ω	ω	NOUN
ejpam-6144	43	22	)	)	PUNCT
ejpam-6144	43	23	=	=	PUNCT
ejpam-6144	44	1	e−	e−	PROPN
ejpam-6144	44	2	ϖ	ϖ	X
ejpam-6144	44	3	τ	τ	X
ejpam-6144	44	4	{	{	PUNCT
ejpam-6144	44	5	[	[	X
ejpam-6144	44	6	1−g(y;ω)]−τ−1	1−g(y;ω)]−τ−1	NUM
ejpam-6144	44	7	}	}	PUNCT
ejpam-6144	44	8	;	;	PUNCT
ejpam-6144	44	9	y	y	PROPN
ejpam-6144	44	10	>	>	X
ejpam-6144	44	11	0	0	X
ejpam-6144	44	12	.	.	PUNCT
ejpam-6144	45	1	(	(	PUNCT
ejpam-6144	45	2	3	3	X
ejpam-6144	45	3	)	)	PUNCT
ejpam-6144	45	4	the	the	DET
ejpam-6144	45	5	probability	probability	NOUN
ejpam-6144	45	6	density	density	NOUN
ejpam-6144	45	7	function	function	NOUN
ejpam-6144	45	8	(	(	PUNCT
ejpam-6144	45	9	pdf	pdf	NOUN
ejpam-6144	45	10	)	)	PUNCT
ejpam-6144	45	11	corresponding	correspond	VERB
ejpam-6144	45	12	to	to	ADP
ejpam-6144	45	13	equation	equation	NOUN
ejpam-6144	45	14	(	(	PUNCT
ejpam-6144	45	15	2	2	X
ejpam-6144	45	16	)	)	PUNCT
ejpam-6144	45	17	can	can	AUX
ejpam-6144	45	18	be	be	AUX
ejpam-6144	45	19	written	write	VERB
ejpam-6144	45	20	as	as	ADP
ejpam-6144	45	21	ψ(y;ϖ	ψ(y;ϖ	PROPN
ejpam-6144	45	22	,	,	PUNCT
ejpam-6144	45	23	τ	τ	PROPN
ejpam-6144	45	24	,	,	PUNCT
ejpam-6144	45	25	ω	ω	NOUN
ejpam-6144	45	26	)	)	PUNCT
ejpam-6144	45	27	=	=	SYM
ejpam-6144	45	28	ϖg(y;ω	ϖg(y;ω	PROPN
ejpam-6144	45	29	)	)	PUNCT
ejpam-6144	45	30	[	[	PUNCT
ejpam-6144	45	31	g(y;ω	g(y;ω	PROPN
ejpam-6144	45	32	)	)	PUNCT
ejpam-6144	45	33	]	]	PUNCT
ejpam-6144	45	34	−(τ+1	−(τ+1	X
ejpam-6144	45	35	)	)	PUNCT
ejpam-6144	46	1	e−	e−	PROPN
ejpam-6144	47	1	ϖ	ϖ	X
ejpam-6144	47	2	τ	τ	X
ejpam-6144	47	3	{	{	PUNCT
ejpam-6144	47	4	[	[	X
ejpam-6144	47	5	1−g(y;ω)]−τ−1	1−g(y;ω)]−τ−1	NUM
ejpam-6144	47	6	}	}	PUNCT
ejpam-6144	47	7	;	;	PUNCT
ejpam-6144	47	8	y	y	PROPN
ejpam-6144	47	9	>	>	X
ejpam-6144	47	10	0	0	NUM
ejpam-6144	47	11	,	,	PUNCT
ejpam-6144	47	12	(	(	PUNCT
ejpam-6144	47	13	4	4	X
ejpam-6144	47	14	)	)	PUNCT
ejpam-6144	47	15	where	where	SCONJ
ejpam-6144	47	16	g(y;ω	g(y;ω	PROPN
ejpam-6144	47	17	)	)	PUNCT
ejpam-6144	47	18	is	be	AUX
ejpam-6144	47	19	the	the	DET
ejpam-6144	47	20	baseline	baseline	PROPN
ejpam-6144	47	21	pdf	pdf	NOUN
ejpam-6144	47	22	.	.	PUNCT
ejpam-6144	48	1	several	several	ADJ
ejpam-6144	48	2	researchers	researcher	NOUN
ejpam-6144	48	3	have	have	AUX
ejpam-6144	48	4	built	build	VERB
ejpam-6144	48	5	upon	upon	SCONJ
ejpam-6144	48	6	the	the	DET
ejpam-6144	48	7	framework	framework	NOUN
ejpam-6144	48	8	introduced	introduce	VERB
ejpam-6144	48	9	by	by	ADP
ejpam-6144	48	10	alzaatreh	alzaatreh	NOUN
ejpam-6144	48	11	et	et	PROPN
ejpam-6144	48	12	al	al	PROPN
ejpam-6144	48	13	.	.	PUNCT
ejpam-6144	49	1	[	[	X
ejpam-6144	49	2	1	1	X
ejpam-6144	49	3	]	]	PUNCT
ejpam-6144	49	4	to	to	PART
ejpam-6144	49	5	develop	develop	VERB
ejpam-6144	49	6	both	both	CCONJ
ejpam-6144	49	7	univariate	univariate	ADJ
ejpam-6144	49	8	and	and	CCONJ
ejpam-6144	49	9	bivariate	bivariate	ADJ
ejpam-6144	49	10	probability	probability	NOUN
ejpam-6144	49	11	m.	m.	NOUN
ejpam-6144	49	12	s.	s.	PROPN
ejpam-6144	49	13	eliwa	eliwa	PROPN
ejpam-6144	49	14	,	,	PUNCT
ejpam-6144	49	15	w.	w.	PROPN
ejpam-6144	49	16	e.	e.	PROPN
ejpam-6144	49	17	alghanem	alghanem	PROPN
ejpam-6144	49	18	,	,	PUNCT
ejpam-6144	49	19	m.	m.	NOUN
ejpam-6144	49	20	a.	a.	NOUN
ejpam-6144	49	21	alenizi	alenizi	PROPN
ejpam-6144	49	22	/	/	SYM
ejpam-6144	49	23	eur	eur	PROPN
ejpam-6144	49	24	.	.	PUNCT
ejpam-6144	50	1	j.	j.	PROPN
ejpam-6144	50	2	pure	pure	PROPN
ejpam-6144	50	3	appl	appl	PROPN
ejpam-6144	50	4	.	.	PROPN
ejpam-6144	50	5	math	math	PROPN
ejpam-6144	50	6	,	,	PUNCT
ejpam-6144	50	7	18	18	NUM
ejpam-6144	50	8	(	(	PUNCT
ejpam-6144	50	9	2	2	NUM
ejpam-6144	50	10	)	)	PUNCT
ejpam-6144	50	11	(	(	PUNCT
ejpam-6144	50	12	2025	2025	NUM
ejpam-6144	50	13	)	)	PUNCT
ejpam-6144	50	14	,	,	PUNCT
ejpam-6144	50	15	6144	6144	NUM
ejpam-6144	50	16	3	3	NUM
ejpam-6144	50	17	of	of	ADP
ejpam-6144	50	18	26	26	NUM
ejpam-6144	50	19	distribution	distribution	NOUN
ejpam-6144	50	20	families	family	NOUN
ejpam-6144	50	21	.	.	PUNCT
ejpam-6144	51	1	significant	significant	ADJ
ejpam-6144	51	2	contributions	contribution	NOUN
ejpam-6144	51	3	in	in	ADP
ejpam-6144	51	4	this	this	DET
ejpam-6144	51	5	area	area	NOUN
ejpam-6144	51	6	include	include	VERB
ejpam-6144	51	7	studies	study	NOUN
ejpam-6144	51	8	by	by	ADP
ejpam-6144	51	9	el	el	PROPN
ejpam-6144	51	10	-	-	PUNCT
ejpam-6144	51	11	morshedy	morshedy	PROPN
ejpam-6144	51	12	and	and	CCONJ
ejpam-6144	51	13	eliwa	eliwa	VERB
ejpam-6144	51	14	[	[	X
ejpam-6144	51	15	15	15	NUM
ejpam-6144	51	16	]	]	PUNCT
ejpam-6144	51	17	,	,	PUNCT
ejpam-6144	51	18	alizadeh	alizadeh	PROPN
ejpam-6144	51	19	et	et	PROPN
ejpam-6144	51	20	al	al	PROPN
ejpam-6144	51	21	.	.	PUNCT
ejpam-6144	52	1	[	[	X
ejpam-6144	52	2	11	11	NUM
ejpam-6144	52	3	]	]	PUNCT
ejpam-6144	52	4	,	,	PUNCT
ejpam-6144	52	5	abdelall	abdelall	PROPN
ejpam-6144	52	6	et	et	PROPN
ejpam-6144	52	7	al	al	PROPN
ejpam-6144	52	8	.	.	PUNCT
ejpam-6144	53	1	[	[	X
ejpam-6144	53	2	29	29	NUM
ejpam-6144	53	3	]	]	PUNCT
ejpam-6144	53	4	,	,	PUNCT
ejpam-6144	53	5	alsolmi	alsolmi	PROPN
ejpam-6144	54	1	[	[	X
ejpam-6144	54	2	17	17	NUM
ejpam-6144	54	3	]	]	PUNCT
ejpam-6144	54	4	,	,	PUNCT
ejpam-6144	54	5	atchade	atchade	PROPN
ejpam-6144	54	6	et	et	PROPN
ejpam-6144	54	7	al	al	PROPN
ejpam-6144	54	8	.	.	PUNCT
ejpam-6144	55	1	[	[	X
ejpam-6144	55	2	18	18	NUM
ejpam-6144	55	3	]	]	PUNCT
ejpam-6144	55	4	,	,	PUNCT
ejpam-6144	55	5	among	among	ADP
ejpam-6144	55	6	others	other	NOUN
ejpam-6144	55	7	.	.	PUNCT
ejpam-6144	56	1	these	these	DET
ejpam-6144	56	2	works	work	NOUN
ejpam-6144	56	3	have	have	AUX
ejpam-6144	56	4	played	play	VERB
ejpam-6144	56	5	a	a	DET
ejpam-6144	56	6	crucial	crucial	ADJ
ejpam-6144	56	7	role	role	NOUN
ejpam-6144	56	8	in	in	ADP
ejpam-6144	56	9	advancing	advance	VERB
ejpam-6144	56	10	probability	probability	NOUN
ejpam-6144	56	11	modeling	modeling	NOUN
ejpam-6144	56	12	by	by	ADP
ejpam-6144	56	13	introducing	introduce	VERB
ejpam-6144	56	14	more	more	ADV
ejpam-6144	56	15	flexible	flexible	ADJ
ejpam-6144	56	16	and	and	CCONJ
ejpam-6144	56	17	adaptable	adaptable	ADJ
ejpam-6144	56	18	distributions	distribution	NOUN
ejpam-6144	56	19	.	.	PUNCT
ejpam-6144	57	1	in	in	ADP
ejpam-6144	57	2	recent	recent	ADJ
ejpam-6144	57	3	years	year	NOUN
ejpam-6144	57	4	,	,	PUNCT
ejpam-6144	57	5	there	there	PRON
ejpam-6144	57	6	has	have	AUX
ejpam-6144	57	7	been	be	AUX
ejpam-6144	57	8	an	an	DET
ejpam-6144	57	9	increasing	increase	VERB
ejpam-6144	57	10	focus	focus	NOUN
ejpam-6144	57	11	on	on	ADP
ejpam-6144	57	12	discretizing	discretize	VERB
ejpam-6144	57	13	continuous	continuous	ADJ
ejpam-6144	57	14	probability	probability	NOUN
ejpam-6144	57	15	distributions	distribution	NOUN
ejpam-6144	57	16	,	,	PUNCT
ejpam-6144	57	17	particularly	particularly	ADV
ejpam-6144	57	18	for	for	ADP
ejpam-6144	57	19	applications	application	NOUN
ejpam-6144	57	20	where	where	SCONJ
ejpam-6144	57	21	measuring	measure	VERB
ejpam-6144	57	22	lifetimes	lifetime	NOUN
ejpam-6144	57	23	on	on	ADP
ejpam-6144	57	24	a	a	DET
ejpam-6144	57	25	continuous	continuous	ADJ
ejpam-6144	57	26	scale	scale	NOUN
ejpam-6144	57	27	is	be	AUX
ejpam-6144	57	28	impractical	impractical	ADJ
ejpam-6144	57	29	.	.	PUNCT
ejpam-6144	58	1	this	this	DET
ejpam-6144	58	2	issue	issue	NOUN
ejpam-6144	58	3	commonly	commonly	ADV
ejpam-6144	58	4	arises	arise	VERB
ejpam-6144	58	5	in	in	ADP
ejpam-6144	58	6	areas	area	NOUN
ejpam-6144	58	7	such	such	ADJ
ejpam-6144	58	8	as	as	ADP
ejpam-6144	58	9	reliability	reliability	NOUN
ejpam-6144	58	10	analysis	analysis	NOUN
ejpam-6144	58	11	and	and	CCONJ
ejpam-6144	58	12	quality	quality	NOUN
ejpam-6144	58	13	control	control	NOUN
ejpam-6144	58	14	,	,	PUNCT
ejpam-6144	58	15	where	where	SCONJ
ejpam-6144	58	16	product	product	NOUN
ejpam-6144	58	17	or	or	CCONJ
ejpam-6144	58	18	system	system	NOUN
ejpam-6144	58	19	lifetimes	lifetime	NOUN
ejpam-6144	58	20	are	be	AUX
ejpam-6144	58	21	naturally	naturally	ADV
ejpam-6144	58	22	recorded	record	VERB
ejpam-6144	58	23	in	in	ADP
ejpam-6144	58	24	discrete	discrete	ADJ
ejpam-6144	58	25	units	unit	NOUN
ejpam-6144	58	26	like	like	ADP
ejpam-6144	58	27	days	day	NOUN
ejpam-6144	58	28	,	,	PUNCT
ejpam-6144	58	29	cycles	cycle	NOUN
ejpam-6144	58	30	,	,	PUNCT
ejpam-6144	58	31	or	or	CCONJ
ejpam-6144	58	32	events	event	NOUN
ejpam-6144	58	33	.	.	PUNCT
ejpam-6144	59	1	to	to	PART
ejpam-6144	59	2	address	address	VERB
ejpam-6144	59	3	this	this	PRON
ejpam-6144	59	4	,	,	PUNCT
ejpam-6144	59	5	various	various	ADJ
ejpam-6144	59	6	discrete	discrete	ADJ
ejpam-6144	59	7	probability	probability	NOUN
ejpam-6144	59	8	models	model	NOUN
ejpam-6144	59	9	have	have	AUX
ejpam-6144	59	10	been	be	AUX
ejpam-6144	59	11	proposed	propose	VERB
ejpam-6144	59	12	by	by	ADP
ejpam-6144	59	13	researchers	researcher	NOUN
ejpam-6144	59	14	such	such	ADJ
ejpam-6144	59	15	as	as	ADP
ejpam-6144	59	16	roy	roy	PROPN
ejpam-6144	59	17	[	[	X
ejpam-6144	59	18	25	25	NUM
ejpam-6144	59	19	]	]	PUNCT
ejpam-6144	59	20	,	,	PUNCT
ejpam-6144	59	21	afify	afify	VERB
ejpam-6144	59	22	et	et	PROPN
ejpam-6144	59	23	al	al	PROPN
ejpam-6144	59	24	.	.	PUNCT
ejpam-6144	60	1	[	[	X
ejpam-6144	60	2	30	30	NUM
ejpam-6144	60	3	]	]	PUNCT
ejpam-6144	60	4	,	,	PUNCT
ejpam-6144	60	5	abd	abd	PROPN
ejpam-6144	60	6	el	el	PROPN
ejpam-6144	60	7	-	-	PUNCT
ejpam-6144	60	8	hady	hady	PROPN
ejpam-6144	60	9	et	et	PROPN
ejpam-6144	60	10	al	al	PROPN
ejpam-6144	60	11	.	.	PUNCT
ejpam-6144	61	1	[	[	X
ejpam-6144	61	2	3	3	NUM
ejpam-6144	61	3	]	]	PUNCT
ejpam-6144	61	4	,	,	PUNCT
ejpam-6144	61	5	eliwa	eliwa	VERB
ejpam-6144	61	6	et	et	PROPN
ejpam-6144	61	7	al	al	PROPN
ejpam-6144	61	8	.	.	PUNCT
ejpam-6144	62	1	[	[	X
ejpam-6144	62	2	20	20	NUM
ejpam-6144	62	3	]	]	PUNCT
ejpam-6144	62	4	,	,	PUNCT
ejpam-6144	62	5	gómez	gómez	NOUN
ejpam-6144	62	6	-	-	PUNCT
ejpam-6144	62	7	déniz	déniz	NOUN
ejpam-6144	62	8	and	and	CCONJ
ejpam-6144	62	9	caldeŕın	caldeŕın	PROPN
ejpam-6144	62	10	-	-	PUNCT
ejpam-6144	62	11	ojeda	ojeda	PROPN
ejpam-6144	62	12	[	[	X
ejpam-6144	62	13	4	4	NUM
ejpam-6144	62	14	]	]	PUNCT
ejpam-6144	62	15	,	,	PUNCT
ejpam-6144	62	16	yousof	yousof	NOUN
ejpam-6144	62	17	et	et	NOUN
ejpam-6144	62	18	al	al	PROPN
ejpam-6144	62	19	.	.	PUNCT
ejpam-6144	63	1	[	[	X
ejpam-6144	63	2	6	6	NUM
ejpam-6144	63	3	]	]	PUNCT
ejpam-6144	63	4	,	,	PUNCT
ejpam-6144	63	5	nakagawa	nakagawa	PROPN
ejpam-6144	63	6	and	and	CCONJ
ejpam-6144	63	7	osaki	osaki	PROPN
ejpam-6144	64	1	[	[	X
ejpam-6144	64	2	27	27	NUM
ejpam-6144	64	3	]	]	PUNCT
ejpam-6144	64	4	,	,	PUNCT
ejpam-6144	64	5	ibrahim	ibrahim	PROPN
ejpam-6144	64	6	et	et	PROPN
ejpam-6144	64	7	al	al	PROPN
ejpam-6144	64	8	.	.	PUNCT
ejpam-6144	65	1	[	[	X
ejpam-6144	65	2	16	16	NUM
ejpam-6144	65	3	]	]	PUNCT
ejpam-6144	65	4	,	,	PUNCT
ejpam-6144	65	5	hamdi	hamdi	PROPN
ejpam-6144	65	6	et	et	PROPN
ejpam-6144	65	7	al	al	PROPN
ejpam-6144	65	8	.	.	PUNCT
ejpam-6144	66	1	[	[	X
ejpam-6144	66	2	28	28	NUM
ejpam-6144	66	3	]	]	PUNCT
ejpam-6144	66	4	,	,	PUNCT
ejpam-6144	66	5	among	among	ADP
ejpam-6144	66	6	others	other	NOUN
ejpam-6144	66	7	.	.	PUNCT
ejpam-6144	67	1	despite	despite	SCONJ
ejpam-6144	67	2	these	these	DET
ejpam-6144	67	3	advancements	advancement	NOUN
ejpam-6144	67	4	,	,	PUNCT
ejpam-6144	67	5	there	there	PRON
ejpam-6144	67	6	remains	remain	VERB
ejpam-6144	67	7	considerable	considerable	ADJ
ejpam-6144	67	8	scope	scope	NOUN
ejpam-6144	67	9	for	for	ADP
ejpam-6144	67	10	developing	develop	VERB
ejpam-6144	67	11	new	new	ADJ
ejpam-6144	67	12	discrete	discrete	ADJ
ejpam-6144	67	13	probability	probability	NOUN
ejpam-6144	67	14	distributions	distribution	NOUN
ejpam-6144	67	15	tailored	tailor	VERB
ejpam-6144	67	16	to	to	ADP
ejpam-6144	67	17	specific	specific	ADJ
ejpam-6144	67	18	data	data	NOUN
ejpam-6144	67	19	structures	structure	NOUN
ejpam-6144	67	20	and	and	CCONJ
ejpam-6144	67	21	real	real	ADJ
ejpam-6144	67	22	-	-	PUNCT
ejpam-6144	67	23	world	world	NOUN
ejpam-6144	67	24	scenarios	scenario	NOUN
ejpam-6144	67	25	.	.	PUNCT
ejpam-6144	68	1	this	this	DET
ejpam-6144	68	2	study	study	NOUN
ejpam-6144	68	3	introduces	introduce	VERB
ejpam-6144	68	4	a	a	DET
ejpam-6144	68	5	new	new	ADJ
ejpam-6144	68	6	discrete	discrete	ADJ
ejpam-6144	68	7	probability	probability	NOUN
ejpam-6144	68	8	model	model	NOUN
ejpam-6144	68	9	,	,	PUNCT
ejpam-6144	68	10	termed	term	VERB
ejpam-6144	68	11	the	the	DET
ejpam-6144	68	12	discrete	discrete	ADJ
ejpam-6144	68	13	gompertz	gompertz	NOUN
ejpam-6144	68	14	half	half	ADJ
ejpam-6144	68	15	-	-	PUNCT
ejpam-6144	68	16	logistic	logistic	ADJ
ejpam-6144	68	17	(	(	PUNCT
ejpam-6144	68	18	dgzhlo	dgzhlo	NOUN
ejpam-6144	68	19	)	)	PUNCT
ejpam-6144	68	20	model	model	NOUN
ejpam-6144	68	21	,	,	PUNCT
ejpam-6144	68	22	derived	derive	VERB
ejpam-6144	68	23	from	from	ADP
ejpam-6144	68	24	the	the	DET
ejpam-6144	68	25	discrete	discrete	ADJ
ejpam-6144	68	26	version	version	NOUN
ejpam-6144	68	27	of	of	ADP
ejpam-6144	68	28	the	the	DET
ejpam-6144	68	29	gz	gz	PROPN
ejpam-6144	68	30	-	-	PUNCT
ejpam-6144	68	31	g	g	NOUN
ejpam-6144	68	32	family	family	NOUN
ejpam-6144	68	33	originally	originally	ADV
ejpam-6144	68	34	formulated	formulate	VERB
ejpam-6144	68	35	by	by	ADP
ejpam-6144	68	36	eliwa	eliwa	PROPN
ejpam-6144	68	37	et	et	PROPN
ejpam-6144	68	38	al	al	PROPN
ejpam-6144	68	39	.	.	PUNCT
ejpam-6144	69	1	[	[	X
ejpam-6144	69	2	21	21	NUM
ejpam-6144	69	3	]	]	PUNCT
ejpam-6144	69	4	.	.	PUNCT
ejpam-6144	70	1	the	the	DET
ejpam-6144	70	2	cdf	cdf	PROPN
ejpam-6144	70	3	of	of	ADP
ejpam-6144	70	4	the	the	DET
ejpam-6144	70	5	discrete	discrete	ADJ
ejpam-6144	70	6	version	version	NOUN
ejpam-6144	70	7	of	of	ADP
ejpam-6144	70	8	the	the	DET
ejpam-6144	70	9	gz	gz	PROPN
ejpam-6144	70	10	-	-	PUNCT
ejpam-6144	70	11	g	g	NOUN
ejpam-6144	70	12	(	(	PUNCT
ejpam-6144	70	13	dgz	dgz	NOUN
ejpam-6144	70	14	-	-	PUNCT
ejpam-6144	70	15	g	g	NOUN
ejpam-6144	70	16	)	)	PUNCT
ejpam-6144	70	17	family	family	NOUN
ejpam-6144	70	18	is	be	AUX
ejpam-6144	70	19	given	give	VERB
ejpam-6144	70	20	by	by	ADP
ejpam-6144	70	21	hz(z	hz(z	NUM
ejpam-6144	70	22	;	;	PUNCT
ejpam-6144	70	23	γ	γ	X
ejpam-6144	70	24	,	,	PUNCT
ejpam-6144	70	25	τ	τ	PROPN
ejpam-6144	70	26	,	,	PUNCT
ejpam-6144	70	27	ω	ω	NOUN
ejpam-6144	70	28	)	)	PUNCT
ejpam-6144	70	29	=	=	SYM
ejpam-6144	70	30	1−	1−	NUM
ejpam-6144	70	31	γ	γ	X
ejpam-6144	70	32	1	1	NUM
ejpam-6144	70	33	τ	τ	X
ejpam-6144	70	34	{	{	PUNCT
ejpam-6144	70	35	[	[	X
ejpam-6144	70	36	1−g(z+1;ω)]−τ−1	1−g(z+1;ω)]−τ−1	X
ejpam-6144	70	37	}	}	PUNCT
ejpam-6144	70	38	;	;	PUNCT
ejpam-6144	70	39	z	z	PROPN
ejpam-6144	70	40	∈	∈	PROPN
ejpam-6144	70	41	n0	n0	PROPN
ejpam-6144	70	42	,	,	PUNCT
ejpam-6144	70	43	(	(	PUNCT
ejpam-6144	70	44	5	5	NUM
ejpam-6144	70	45	)	)	PUNCT
ejpam-6144	70	46	where	where	SCONJ
ejpam-6144	70	47	γ	γ	X
ejpam-6144	70	48	=	=	SYM
ejpam-6144	70	49	e−ϖ	e−ϖ	ADJ
ejpam-6144	70	50	,	,	PUNCT
ejpam-6144	70	51	0	0	PUNCT
ejpam-6144	70	52	<	<	X
ejpam-6144	70	53	γ	γ	X
ejpam-6144	70	54	<	<	X
ejpam-6144	70	55	1	1	NUM
ejpam-6144	70	56	,	,	PUNCT
ejpam-6144	70	57	τ	τ	PROPN
ejpam-6144	70	58	>	>	X
ejpam-6144	70	59	0	0	PUNCT
ejpam-6144	70	60	and	and	CCONJ
ejpam-6144	70	61	n0	n0	NUM
ejpam-6144	70	62	=	=	SYM
ejpam-6144	70	63	{	{	PUNCT
ejpam-6144	70	64	0	0	NUM
ejpam-6144	70	65	,	,	PUNCT
ejpam-6144	70	66	1	1	NUM
ejpam-6144	70	67	,	,	PUNCT
ejpam-6144	70	68	2	2	NUM
ejpam-6144	70	69	,	,	PUNCT
ejpam-6144	70	70	3	3	NUM
ejpam-6144	70	71	,	,	PUNCT
ejpam-6144	70	72	...	...	PUNCT
ejpam-6144	70	73	}	}	PUNCT
ejpam-6144	70	74	.	.	PUNCT
ejpam-6144	71	1	incorporating	incorporate	VERB
ejpam-6144	71	2	the	the	DET
ejpam-6144	71	3	dgzg	dgzg	NOUN
ejpam-6144	71	4	structure	structure	NOUN
ejpam-6144	71	5	with	with	ADP
ejpam-6144	71	6	the	the	DET
ejpam-6144	71	7	half	half	ADJ
ejpam-6144	71	8	-	-	PUNCT
ejpam-6144	71	9	logistic	logistic	ADJ
ejpam-6144	71	10	(	(	PUNCT
ejpam-6144	71	11	hlo	hlo	NOUN
ejpam-6144	71	12	)	)	PUNCT
ejpam-6144	71	13	framework	framework	NOUN
ejpam-6144	71	14	enhances	enhance	VERB
ejpam-6144	71	15	the	the	DET
ejpam-6144	71	16	model	model	NOUN
ejpam-6144	71	17	’s	’s	PART
ejpam-6144	71	18	flexibility	flexibility	NOUN
ejpam-6144	71	19	in	in	ADP
ejpam-6144	71	20	capturing	capture	VERB
ejpam-6144	71	21	discrete	discrete	ADJ
ejpam-6144	71	22	lifetime	lifetime	NOUN
ejpam-6144	71	23	data	datum	NOUN
ejpam-6144	71	24	,	,	PUNCT
ejpam-6144	71	25	where	where	SCONJ
ejpam-6144	71	26	the	the	DET
ejpam-6144	71	27	cdf	cdf	PROPN
ejpam-6144	71	28	of	of	ADP
ejpam-6144	71	29	the	the	DET
ejpam-6144	71	30	hlo	hlo	PROPN
ejpam-6144	71	31	model	model	NOUN
ejpam-6144	71	32	is	be	AUX
ejpam-6144	71	33	given	give	VERB
ejpam-6144	71	34	by	by	ADP
ejpam-6144	71	35	g(s	g(	NOUN
ejpam-6144	71	36	;	;	PUNCT
ejpam-6144	71	37	θ	θ	X
ejpam-6144	71	38	)	)	PUNCT
ejpam-6144	71	39	=	=	SYM
ejpam-6144	71	40	1−	1−	NUM
ejpam-6144	71	41	e−θs	e−θ	VERB
ejpam-6144	71	42	1	1	NUM
ejpam-6144	71	43	+	+	NUM
ejpam-6144	71	44	e−θs	e−θ	NOUN
ejpam-6144	71	45	;	;	PUNCT
ejpam-6144	71	46	s	s	X
ejpam-6144	71	47	≥	≥	NOUN
ejpam-6144	71	48	0	0	NUM
ejpam-6144	71	49	,	,	PUNCT
ejpam-6144	71	50	(	(	PUNCT
ejpam-6144	71	51	6	6	NUM
ejpam-6144	71	52	)	)	PUNCT
ejpam-6144	71	53	where	where	SCONJ
ejpam-6144	71	54	θ	θ	PROPN
ejpam-6144	71	55	>	>	X
ejpam-6144	71	56	0	0	X
ejpam-6144	71	57	.	.	PUNCT
ejpam-6144	72	1	the	the	DET
ejpam-6144	72	2	motivation	motivation	NOUN
ejpam-6144	72	3	for	for	ADP
ejpam-6144	72	4	introducing	introduce	VERB
ejpam-6144	72	5	the	the	DET
ejpam-6144	72	6	dgzhlo	dgzhlo	PROPN
ejpam-6144	72	7	model	model	NOUN
ejpam-6144	72	8	stems	stem	VERB
ejpam-6144	72	9	from	from	ADP
ejpam-6144	72	10	the	the	DET
ejpam-6144	72	11	need	need	NOUN
ejpam-6144	72	12	to	to	PART
ejpam-6144	72	13	:	:	PUNCT
ejpam-6144	72	14	•	•	NUM
ejpam-6144	72	15	generating	generating	NOUN
ejpam-6144	72	16	models	model	NOUN
ejpam-6144	72	17	with	with	ADP
ejpam-6144	72	18	varying	vary	VERB
ejpam-6144	72	19	skewness	skewness	NOUN
ejpam-6144	72	20	characteristics	characteristic	NOUN
ejpam-6144	72	21	(	(	PUNCT
ejpam-6144	72	22	negative	negative	ADJ
ejpam-6144	72	23	,	,	PUNCT
ejpam-6144	72	24	positive	positive	ADJ
ejpam-6144	72	25	,	,	PUNCT
ejpam-6144	72	26	or	or	CCONJ
ejpam-6144	72	27	symmetric	symmetric	ADJ
ejpam-6144	72	28	)	)	PUNCT
ejpam-6144	72	29	to	to	PART
ejpam-6144	72	30	capture	capture	VERB
ejpam-6144	72	31	diverse	diverse	ADJ
ejpam-6144	72	32	data	datum	NOUN
ejpam-6144	72	33	distributions	distribution	NOUN
ejpam-6144	72	34	in	in	ADP
ejpam-6144	72	35	sustainability	sustainability	NOUN
ejpam-6144	72	36	studies	study	NOUN
ejpam-6144	72	37	.	.	PUNCT
ejpam-6144	73	1	•	•	PUNCT
ejpam-6144	73	2	accommodating	accommodate	VERB
ejpam-6144	73	3	increasing	increase	VERB
ejpam-6144	73	4	hazard	hazard	NOUN
ejpam-6144	73	5	rate	rate	NOUN
ejpam-6144	73	6	functions	function	NOUN
ejpam-6144	73	7	,	,	PUNCT
ejpam-6144	73	8	particularly	particularly	ADV
ejpam-6144	73	9	in	in	ADP
ejpam-6144	73	10	engineering	engineering	NOUN
ejpam-6144	73	11	and	and	CCONJ
ejpam-6144	73	12	medical	medical	ADJ
ejpam-6144	73	13	contexts	contexts	NOUN
ejpam-6144	73	14	,	,	PUNCT
ejpam-6144	73	15	to	to	PART
ejpam-6144	73	16	improve	improve	VERB
ejpam-6144	73	17	predictions	prediction	NOUN
ejpam-6144	73	18	and	and	CCONJ
ejpam-6144	73	19	decision	decision	NOUN
ejpam-6144	73	20	-	-	PUNCT
ejpam-6144	73	21	making	making	NOUN
ejpam-6144	73	22	in	in	ADP
ejpam-6144	73	23	sustainable	sustainable	ADJ
ejpam-6144	73	24	development	development	NOUN
ejpam-6144	73	25	.	.	PUNCT
ejpam-6144	74	1	•	•	NOUN
ejpam-6144	74	2	modeling	model	VERB
ejpam-6144	74	3	over	over	ADV
ejpam-6144	74	4	-	-	PUNCT
ejpam-6144	74	5	dispersed	disperse	VERB
ejpam-6144	74	6	,	,	PUNCT
ejpam-6144	74	7	equi	equi	NOUN
ejpam-6144	74	8	-	-	PUNCT
ejpam-6144	74	9	dispersed	disperse	VERB
ejpam-6144	74	10	,	,	PUNCT
ejpam-6144	74	11	and	and	CCONJ
ejpam-6144	74	12	under	under	ADV
ejpam-6144	74	13	-	-	PUNCT
ejpam-6144	74	14	dispersed	disperse	VERB
ejpam-6144	74	15	data	datum	NOUN
ejpam-6144	74	16	to	to	PART
ejpam-6144	74	17	provide	provide	VERB
ejpam-6144	74	18	more	more	ADV
ejpam-6144	74	19	accurate	accurate	ADJ
ejpam-6144	74	20	insights	insight	NOUN
ejpam-6144	74	21	into	into	ADP
ejpam-6144	74	22	environmental	environmental	ADJ
ejpam-6144	74	23	and	and	CCONJ
ejpam-6144	74	24	economic	economic	ADJ
ejpam-6144	74	25	sustainability	sustainability	NOUN
ejpam-6144	74	26	metrics	metric	NOUN
ejpam-6144	74	27	.	.	PUNCT
ejpam-6144	75	1	•	•	PUNCT
ejpam-6144	75	2	accounting	account	VERB
ejpam-6144	75	3	for	for	ADP
ejpam-6144	75	4	different	different	ADJ
ejpam-6144	75	5	levels	level	NOUN
ejpam-6144	75	6	of	of	ADP
ejpam-6144	75	7	kurtosis	kurtosis	NOUN
ejpam-6144	75	8	,	,	PUNCT
ejpam-6144	75	9	including	include	VERB
ejpam-6144	75	10	leptokurtic	leptokurtic	ADJ
ejpam-6144	75	11	and	and	CCONJ
ejpam-6144	75	12	platykurtic	platykurtic	ADJ
ejpam-6144	75	13	distributions	distribution	NOUN
ejpam-6144	75	14	,	,	PUNCT
ejpam-6144	75	15	to	to	PART
ejpam-6144	75	16	better	well	ADV
ejpam-6144	75	17	represent	represent	VERB
ejpam-6144	75	18	the	the	DET
ejpam-6144	75	19	variability	variability	NOUN
ejpam-6144	75	20	observed	observe	VERB
ejpam-6144	75	21	in	in	ADP
ejpam-6144	75	22	sustainability	sustainability	NOUN
ejpam-6144	75	23	data	datum	NOUN
ejpam-6144	75	24	.	.	PUNCT
ejpam-6144	76	1	•	•	NUM
ejpam-6144	76	2	handling	handle	VERB
ejpam-6144	76	3	zero	zero	NUM
ejpam-6144	76	4	-	-	PUNCT
ejpam-6144	76	5	inflation	inflation	NOUN
ejpam-6144	76	6	and	and	CCONJ
ejpam-6144	76	7	non	non	ADJ
ejpam-6144	76	8	-	-	ADJ
ejpam-6144	76	9	inflation	inflation	ADJ
ejpam-6144	76	10	data	datum	NOUN
ejpam-6144	76	11	,	,	PUNCT
ejpam-6144	76	12	particularly	particularly	ADV
ejpam-6144	76	13	under	under	ADP
ejpam-6144	76	14	extreme	extreme	ADJ
ejpam-6144	76	15	observations	observation	NOUN
ejpam-6144	76	16	,	,	PUNCT
ejpam-6144	76	17	to	to	PART
ejpam-6144	76	18	improve	improve	VERB
ejpam-6144	76	19	the	the	DET
ejpam-6144	76	20	robustness	robustness	NOUN
ejpam-6144	76	21	of	of	ADP
ejpam-6144	76	22	models	model	NOUN
ejpam-6144	76	23	in	in	ADP
ejpam-6144	76	24	the	the	DET
ejpam-6144	76	25	context	context	NOUN
ejpam-6144	76	26	of	of	ADP
ejpam-6144	76	27	rare	rare	ADJ
ejpam-6144	76	28	but	but	CCONJ
ejpam-6144	76	29	impactful	impactful	ADJ
ejpam-6144	76	30	sustainability	sustainability	NOUN
ejpam-6144	76	31	events	event	NOUN
ejpam-6144	76	32	.	.	PUNCT
ejpam-6144	77	1	m.	m.	NOUN
ejpam-6144	77	2	s.	s.	PROPN
ejpam-6144	77	3	eliwa	eliwa	PROPN
ejpam-6144	77	4	,	,	PUNCT
ejpam-6144	77	5	w.	w.	PROPN
ejpam-6144	77	6	e.	e.	PROPN
ejpam-6144	77	7	alghanem	alghanem	PROPN
ejpam-6144	77	8	,	,	PUNCT
ejpam-6144	77	9	m.	m.	NOUN
ejpam-6144	77	10	a.	a.	NOUN
ejpam-6144	77	11	alenizi	alenizi	PROPN
ejpam-6144	77	12	/	/	SYM
ejpam-6144	77	13	eur	eur	PROPN
ejpam-6144	77	14	.	.	PUNCT
ejpam-6144	78	1	j.	j.	PROPN
ejpam-6144	78	2	pure	pure	PROPN
ejpam-6144	78	3	appl	appl	PROPN
ejpam-6144	78	4	.	.	PROPN
ejpam-6144	78	5	math	math	PROPN
ejpam-6144	78	6	,	,	PUNCT
ejpam-6144	78	7	18	18	NUM
ejpam-6144	78	8	(	(	PUNCT
ejpam-6144	78	9	2	2	NUM
ejpam-6144	78	10	)	)	PUNCT
ejpam-6144	78	11	(	(	PUNCT
ejpam-6144	78	12	2025	2025	NUM
ejpam-6144	78	13	)	)	PUNCT
ejpam-6144	78	14	,	,	PUNCT
ejpam-6144	78	15	6144	6144	NUM
ejpam-6144	78	16	4	4	NUM
ejpam-6144	78	17	of	of	ADP
ejpam-6144	78	18	26	26	NUM
ejpam-6144	78	19	this	this	DET
ejpam-6144	78	20	paper	paper	NOUN
ejpam-6144	78	21	is	be	AUX
ejpam-6144	78	22	organized	organize	VERB
ejpam-6144	78	23	as	as	SCONJ
ejpam-6144	78	24	follows	follow	VERB
ejpam-6144	78	25	:	:	PUNCT
ejpam-6144	78	26	section	section	NOUN
ejpam-6144	78	27	2	2	NUM
ejpam-6144	78	28	introduces	introduce	NOUN
ejpam-6144	78	29	the	the	DET
ejpam-6144	78	30	dgzhlo	dgzhlo	NOUN
ejpam-6144	78	31	distribution	distribution	NOUN
ejpam-6144	78	32	,	,	PUNCT
ejpam-6144	78	33	outlining	outline	VERB
ejpam-6144	78	34	its	its	PRON
ejpam-6144	78	35	formulation	formulation	NOUN
ejpam-6144	78	36	and	and	CCONJ
ejpam-6144	78	37	key	key	ADJ
ejpam-6144	78	38	properties	property	NOUN
ejpam-6144	78	39	.	.	PUNCT
ejpam-6144	79	1	section	section	NOUN
ejpam-6144	79	2	3	3	NUM
ejpam-6144	79	3	examines	examine	VERB
ejpam-6144	79	4	its	its	PRON
ejpam-6144	79	5	statistical	statistical	ADJ
ejpam-6144	79	6	and	and	CCONJ
ejpam-6144	79	7	reliability	reliability	NOUN
ejpam-6144	79	8	features	feature	NOUN
ejpam-6144	79	9	,	,	PUNCT
ejpam-6144	79	10	while	while	SCONJ
ejpam-6144	79	11	section	section	NOUN
ejpam-6144	79	12	4	4	NUM
ejpam-6144	79	13	discusses	discuss	VERB
ejpam-6144	79	14	parameter	parameter	NOUN
ejpam-6144	79	15	estimation	estimation	NOUN
ejpam-6144	79	16	using	use	VERB
ejpam-6144	79	17	the	the	DET
ejpam-6144	79	18	maximum	maximum	ADJ
ejpam-6144	79	19	likelihood	likelihood	NOUN
ejpam-6144	79	20	estimation	estimation	NOUN
ejpam-6144	79	21	method	method	NOUN
ejpam-6144	79	22	.	.	PUNCT
ejpam-6144	80	1	a	a	DET
ejpam-6144	80	2	simulation	simulation	NOUN
ejpam-6144	80	3	study	study	NOUN
ejpam-6144	80	4	assessing	assess	VERB
ejpam-6144	80	5	the	the	DET
ejpam-6144	80	6	performance	performance	NOUN
ejpam-6144	80	7	of	of	ADP
ejpam-6144	80	8	the	the	DET
ejpam-6144	80	9	estimators	estimator	NOUN
ejpam-6144	80	10	across	across	ADP
ejpam-6144	80	11	various	various	ADJ
ejpam-6144	80	12	sample	sample	NOUN
ejpam-6144	80	13	sizes	size	NOUN
ejpam-6144	80	14	is	be	AUX
ejpam-6144	80	15	presented	present	VERB
ejpam-6144	80	16	in	in	ADP
ejpam-6144	80	17	section	section	NOUN
ejpam-6144	80	18	5	5	NUM
ejpam-6144	80	19	.	.	PUNCT
ejpam-6144	80	20	section	section	NOUN
ejpam-6144	80	21	6	6	NUM
ejpam-6144	80	22	demonstrates	demonstrate	VERB
ejpam-6144	80	23	the	the	DET
ejpam-6144	80	24	practical	practical	ADJ
ejpam-6144	80	25	application	application	NOUN
ejpam-6144	80	26	of	of	ADP
ejpam-6144	80	27	the	the	DET
ejpam-6144	80	28	dgzhlo	dgzhlo	PROPN
ejpam-6144	80	29	model	model	NOUN
ejpam-6144	80	30	through	through	ADP
ejpam-6144	80	31	the	the	DET
ejpam-6144	80	32	analysis	analysis	NOUN
ejpam-6144	80	33	of	of	ADP
ejpam-6144	80	34	three	three	NUM
ejpam-6144	80	35	real	real	ADJ
ejpam-6144	80	36	-	-	PUNCT
ejpam-6144	80	37	world	world	NOUN
ejpam-6144	80	38	datasets	dataset	NOUN
ejpam-6144	80	39	,	,	PUNCT
ejpam-6144	80	40	comparing	compare	VERB
ejpam-6144	80	41	its	its	PRON
ejpam-6144	80	42	performance	performance	NOUN
ejpam-6144	80	43	to	to	ADP
ejpam-6144	80	44	other	other	ADJ
ejpam-6144	80	45	existing	exist	VERB
ejpam-6144	80	46	distributions	distribution	NOUN
ejpam-6144	80	47	.	.	PUNCT
ejpam-6144	81	1	finally	finally	ADV
ejpam-6144	81	2	,	,	PUNCT
ejpam-6144	81	3	section	section	NOUN
ejpam-6144	81	4	7	7	NUM
ejpam-6144	81	5	provides	provide	VERB
ejpam-6144	81	6	a	a	DET
ejpam-6144	81	7	summary	summary	NOUN
ejpam-6144	81	8	of	of	ADP
ejpam-6144	81	9	the	the	DET
ejpam-6144	81	10	main	main	ADJ
ejpam-6144	81	11	findings	finding	NOUN
ejpam-6144	81	12	and	and	CCONJ
ejpam-6144	81	13	suggests	suggest	VERB
ejpam-6144	81	14	potential	potential	ADJ
ejpam-6144	81	15	avenues	avenue	NOUN
ejpam-6144	81	16	for	for	ADP
ejpam-6144	81	17	future	future	ADJ
ejpam-6144	81	18	research	research	NOUN
ejpam-6144	81	19	.	.	PUNCT
ejpam-6144	82	1	2	2	X
ejpam-6144	82	2	.	.	X
ejpam-6144	82	3	mathematical	mathematical	ADJ
ejpam-6144	82	4	framework	framework	NOUN
ejpam-6144	82	5	and	and	CCONJ
ejpam-6144	82	6	visual	visual	ADJ
ejpam-6144	82	7	depiction	depiction	NOUN
ejpam-6144	82	8	recall	recall	NOUN
ejpam-6144	82	9	,	,	PUNCT
ejpam-6144	82	10	equations	equation	NOUN
ejpam-6144	82	11	(	(	PUNCT
ejpam-6144	82	12	5	5	NUM
ejpam-6144	82	13	)	)	PUNCT
ejpam-6144	82	14	and	and	CCONJ
ejpam-6144	82	15	(	(	PUNCT
ejpam-6144	82	16	6	6	NUM
ejpam-6144	82	17	)	)	PUNCT
ejpam-6144	82	18	,	,	PUNCT
ejpam-6144	82	19	the	the	DET
ejpam-6144	82	20	cdf	cdf	PROPN
ejpam-6144	82	21	and	and	CCONJ
ejpam-6144	82	22	rf	rf	NOUN
ejpam-6144	82	23	of	of	ADP
ejpam-6144	82	24	the	the	DET
ejpam-6144	82	25	dgzhlo	dgzhlo	NOUN
ejpam-6144	82	26	can	can	AUX
ejpam-6144	82	27	be	be	AUX
ejpam-6144	82	28	formulated	formulate	VERB
ejpam-6144	82	29	as	as	ADP
ejpam-6144	82	30	fz(z	fz(z	NOUN
ejpam-6144	82	31	;	;	PUNCT
ejpam-6144	82	32	γ	γ	X
ejpam-6144	82	33	,	,	PUNCT
ejpam-6144	82	34	τ	τ	PROPN
ejpam-6144	82	35	,	,	PUNCT
ejpam-6144	82	36	θ	θ	NOUN
ejpam-6144	82	37	)	)	PUNCT
ejpam-6144	82	38	=	=	SYM
ejpam-6144	82	39	1−	1−	NUM
ejpam-6144	82	40	γ	γ	X
ejpam-6144	82	41	1	1	NUM
ejpam-6144	82	42	τ	τ	X
ejpam-6144	82	43	{	{	PUNCT
ejpam-6144	82	44	[	[	PUNCT
ejpam-6144	82	45	1−	1−	NUM
ejpam-6144	82	46	1−e−θ(z+1	1−e−θ(z+1	NUM
ejpam-6144	82	47	)	)	PUNCT
ejpam-6144	82	48	1+e−θ(z+1	1+e−θ(z+1	NUM
ejpam-6144	82	49	)	)	PUNCT
ejpam-6144	82	50	]	]	PUNCT
ejpam-6144	82	51	−τ	−τ	ADV
ejpam-6144	82	52	−1	−1	NOUN
ejpam-6144	82	53	}	}	PUNCT
ejpam-6144	82	54	;	;	PUNCT
ejpam-6144	82	55	z	z	PROPN
ejpam-6144	82	56	∈	∈	PROPN
ejpam-6144	82	57	n0	n0	PROPN
ejpam-6144	82	58	,	,	PUNCT
ejpam-6144	82	59	(	(	PUNCT
ejpam-6144	82	60	7	7	NUM
ejpam-6144	82	61	)	)	PUNCT
ejpam-6144	82	62	fz(z	fz(z	NOUN
ejpam-6144	82	63	;	;	PUNCT
ejpam-6144	82	64	γ	γ	X
ejpam-6144	82	65	,	,	PUNCT
ejpam-6144	82	66	τ	τ	PROPN
ejpam-6144	82	67	,	,	PUNCT
ejpam-6144	82	68	θ	θ	NOUN
ejpam-6144	82	69	)	)	PUNCT
ejpam-6144	82	70	=	=	SYM
ejpam-6144	82	71	γ	γ	X
ejpam-6144	82	72	1	1	NUM
ejpam-6144	82	73	τ	τ	X
ejpam-6144	82	74	{	{	PUNCT
ejpam-6144	82	75	[	[	PUNCT
ejpam-6144	82	76	1−	1−	NUM
ejpam-6144	82	77	1−e−θ(z+1	1−e−θ(z+1	NUM
ejpam-6144	82	78	)	)	PUNCT
ejpam-6144	82	79	1+e−θ(z+1	1+e−θ(z+1	NUM
ejpam-6144	82	80	)	)	PUNCT
ejpam-6144	82	81	]	]	PUNCT
ejpam-6144	82	82	−τ	−τ	ADV
ejpam-6144	82	83	−1	−1	NOUN
ejpam-6144	82	84	}	}	PUNCT
ejpam-6144	82	85	;	;	PUNCT
ejpam-6144	82	86	z	z	PROPN
ejpam-6144	82	87	∈	∈	PROPN
ejpam-6144	82	88	n0	n0	PROPN
ejpam-6144	82	89	,	,	PUNCT
ejpam-6144	82	90	(	(	PUNCT
ejpam-6144	82	91	8)	8)	NUM
ejpam-6144	82	92	respectively	respectively	ADV
ejpam-6144	82	93	.	.	PUNCT
ejpam-6144	83	1	the	the	DET
ejpam-6144	83	2	probability	probability	NOUN
ejpam-6144	83	3	mass	mass	NOUN
ejpam-6144	83	4	function	function	NOUN
ejpam-6144	83	5	(	(	PUNCT
ejpam-6144	83	6	pmf	pmf	NOUN
ejpam-6144	83	7	)	)	PUNCT
ejpam-6144	83	8	corresponding	correspond	VERB
ejpam-6144	83	9	to	to	ADP
ejpam-6144	83	10	equation	equation	NOUN
ejpam-6144	83	11	(	(	PUNCT
ejpam-6144	83	12	7	7	X
ejpam-6144	83	13	)	)	PUNCT
ejpam-6144	83	14	can	can	AUX
ejpam-6144	83	15	be	be	AUX
ejpam-6144	83	16	expressed	express	VERB
ejpam-6144	83	17	as	as	ADP
ejpam-6144	83	18	fz(z	fz(z	NOUN
ejpam-6144	83	19	;	;	PUNCT
ejpam-6144	83	20	γ	γ	X
ejpam-6144	83	21	,	,	PUNCT
ejpam-6144	83	22	τ	τ	PROPN
ejpam-6144	83	23	,	,	PUNCT
ejpam-6144	83	24	θ	θ	NOUN
ejpam-6144	83	25	)	)	PUNCT
ejpam-6144	84	1	=	=	SYM
ejpam-6144	84	2	f	f	X
ejpam-6144	84	3	(	(	PUNCT
ejpam-6144	84	4	z	z	NOUN
ejpam-6144	84	5	;	;	PUNCT
ejpam-6144	84	6	γ	γ	X
ejpam-6144	84	7	,	,	PUNCT
ejpam-6144	84	8	τ	τ	PROPN
ejpam-6144	84	9	,	,	PUNCT
ejpam-6144	84	10	θ)−	θ)−	PROPN
ejpam-6144	84	11	f	f	X
ejpam-6144	84	12	(	(	PUNCT
ejpam-6144	84	13	z	z	NOUN
ejpam-6144	84	14	+	+	NOUN
ejpam-6144	84	15	1	1	NUM
ejpam-6144	84	16	;	;	PUNCT
ejpam-6144	84	17	γ	γ	X
ejpam-6144	84	18	,	,	PUNCT
ejpam-6144	84	19	τ	τ	PROPN
ejpam-6144	84	20	,	,	PUNCT
ejpam-6144	84	21	θ	θ	NOUN
ejpam-6144	84	22	)	)	PUNCT
ejpam-6144	84	23	=	=	SYM
ejpam-6144	84	24	γ−	γ−	VERB
ejpam-6144	84	25	1	1	NUM
ejpam-6144	84	26	τ	τ	X
ejpam-6144	84	27	γ	γ	PROPN
ejpam-6144	84	28	1	1	NUM
ejpam-6144	84	29	τ	τ	PROPN
ejpam-6144	84	30	[	[	PUNCT
ejpam-6144	84	31	1−	1−	NUM
ejpam-6144	84	32	1−e−θz	1−e−θz	NUM
ejpam-6144	84	33	1+e−θz	1+e−θz	NUM
ejpam-6144	84	34	]	]	SYM
ejpam-6144	84	35	−τ	−τ	NOUN
ejpam-6144	84	36	−	−	PROPN
ejpam-6144	84	37	γ	γ	PROPN
ejpam-6144	84	38	1	1	NUM
ejpam-6144	84	39	τ	τ	PROPN
ejpam-6144	84	40	[	[	PUNCT
ejpam-6144	84	41	1−	1−	NUM
ejpam-6144	84	42	1−e−θ(z+1	1−e−θ(z+1	NUM
ejpam-6144	84	43	)	)	PUNCT
ejpam-6144	84	44	1+e−θ(z+1	1+e−θ(z+1	NUM
ejpam-6144	84	45	)	)	PUNCT
ejpam-6144	84	46	]	]	PUNCT
ejpam-6144	84	47	−τ	−τ	ADJ
ejpam-6144	84	48			NOUN
ejpam-6144	84	49	;	;	PUNCT
ejpam-6144	84	50	z	z	PROPN
ejpam-6144	84	51	∈	∈	PROPN
ejpam-6144	84	52	n0	n0	PROPN
ejpam-6144	84	53	.	.	PUNCT
ejpam-6144	85	1	(	(	PUNCT
ejpam-6144	85	2	9	9	NUM
ejpam-6144	85	3	)	)	PUNCT
ejpam-6144	85	4	for	for	ADP
ejpam-6144	85	5	further	further	ADJ
ejpam-6144	85	6	details	detail	NOUN
ejpam-6144	85	7	on	on	ADP
ejpam-6144	85	8	the	the	DET
ejpam-6144	85	9	survival	survival	NOUN
ejpam-6144	85	10	discretization	discretization	NOUN
ejpam-6144	85	11	approach	approach	NOUN
ejpam-6144	85	12	,	,	PUNCT
ejpam-6144	85	13	refer	refer	VERB
ejpam-6144	85	14	to	to	ADP
ejpam-6144	85	15	roy	roy	PROPN
ejpam-6144	85	16	[	[	X
ejpam-6144	85	17	25	25	NUM
ejpam-6144	85	18	]	]	PUNCT
ejpam-6144	85	19	.	.	PUNCT
ejpam-6144	86	1	the	the	DET
ejpam-6144	86	2	hazard	hazard	NOUN
ejpam-6144	86	3	rate	rate	NOUN
ejpam-6144	86	4	function	function	NOUN
ejpam-6144	86	5	(	(	PUNCT
ejpam-6144	86	6	hrf	hrf	PROPN
ejpam-6144	86	7	)	)	PUNCT
ejpam-6144	86	8	can	can	AUX
ejpam-6144	86	9	be	be	AUX
ejpam-6144	86	10	formulated	formulate	VERB
ejpam-6144	86	11	as	as	ADP
ejpam-6144	86	12	h(z	h(z	NOUN
ejpam-6144	86	13	;	;	PUNCT
ejpam-6144	86	14	γ	γ	X
ejpam-6144	86	15	,	,	PUNCT
ejpam-6144	86	16	τ	τ	PROPN
ejpam-6144	86	17	,	,	PUNCT
ejpam-6144	86	18	θ	θ	NOUN
ejpam-6144	86	19	)	)	PUNCT
ejpam-6144	86	20	=	=	SYM
ejpam-6144	86	21	1−	1−	NUM
ejpam-6144	86	22	γ	γ	X
ejpam-6144	86	23	1	1	NUM
ejpam-6144	86	24	τ	τ	X
ejpam-6144	86	25	{	{	PUNCT
ejpam-6144	86	26	[	[	PUNCT
ejpam-6144	86	27	1−	1−	NUM
ejpam-6144	86	28	1−e−θ(z+1	1−e−θ(z+1	NUM
ejpam-6144	86	29	)	)	PUNCT
ejpam-6144	86	30	1+e−θ(z+1	1+e−θ(z+1	NUM
ejpam-6144	86	31	)	)	PUNCT
ejpam-6144	86	32	]	]	PUNCT
ejpam-6144	86	33	−τ	−τ	ADV
ejpam-6144	86	34	−	−	PROPN
ejpam-6144	87	1	[	[	PUNCT
ejpam-6144	87	2	1−	1−	NUM
ejpam-6144	87	3	1−e−θz	1−e−θz	NUM
ejpam-6144	87	4	1+e−θz	1+e−θz	NUM
ejpam-6144	87	5	]	]	SYM
ejpam-6144	87	6	−τ	−τ	PROPN
ejpam-6144	87	7	}	}	PUNCT
ejpam-6144	87	8	;	;	PUNCT
ejpam-6144	87	9	z	z	PROPN
ejpam-6144	87	10	∈	∈	PROPN
ejpam-6144	87	11	n0	n0	PROPN
ejpam-6144	87	12	,	,	PUNCT
ejpam-6144	87	13	(	(	PUNCT
ejpam-6144	87	14	10	10	NUM
ejpam-6144	87	15	)	)	PUNCT
ejpam-6144	87	16	where	where	SCONJ
ejpam-6144	87	17	h(z	h(z	NOUN
ejpam-6144	87	18	;	;	PUNCT
ejpam-6144	87	19	γ	γ	X
ejpam-6144	87	20	,	,	PUNCT
ejpam-6144	87	21	τ	τ	PROPN
ejpam-6144	87	22	,	,	PUNCT
ejpam-6144	87	23	ω	ω	NOUN
ejpam-6144	87	24	)	)	PUNCT
ejpam-6144	87	25	=	=	SYM
ejpam-6144	87	26	fz(z;γ	fz(z;γ	NOUN
ejpam-6144	87	27	,	,	PUNCT
ejpam-6144	87	28	τ	τ	PROPN
ejpam-6144	87	29	,	,	PUNCT
ejpam-6144	87	30	θ	θ	NOUN
ejpam-6144	87	31	)	)	PUNCT
ejpam-6144	87	32	fz(z−1;γ	fz(z−1;γ	PROPN
ejpam-6144	87	33	,	,	PUNCT
ejpam-6144	87	34	τ	τ	PROPN
ejpam-6144	87	35	,	,	PUNCT
ejpam-6144	87	36	θ	θ	PROPN
ejpam-6144	87	37	)	)	PUNCT
ejpam-6144	87	38	.	.	PUNCT
ejpam-6144	88	1	the	the	DET
ejpam-6144	88	2	pmf	pmf	NOUN
ejpam-6144	88	3	in	in	ADP
ejpam-6144	88	4	equation	equation	NOUN
ejpam-6144	88	5	(	(	PUNCT
ejpam-6144	88	6	9	9	NUM
ejpam-6144	88	7	)	)	PUNCT
ejpam-6144	88	8	is	be	AUX
ejpam-6144	88	9	log	log	NOUN
ejpam-6144	88	10	-	-	PUNCT
ejpam-6144	88	11	concave	concave	NOUN
ejpam-6144	88	12	for	for	ADP
ejpam-6144	88	13	all	all	DET
ejpam-6144	88	14	parameter	parameter	NOUN
ejpam-6144	88	15	values	value	NOUN
ejpam-6144	88	16	of	of	ADP
ejpam-6144	88	17	the	the	DET
ejpam-6144	88	18	model	model	NOUN
ejpam-6144	88	19	.	.	PUNCT
ejpam-6144	89	1	specifically	specifically	ADV
ejpam-6144	89	2	,	,	PUNCT
ejpam-6144	89	3	the	the	DET
ejpam-6144	89	4	ratio	ratio	NOUN
ejpam-6144	89	5	f(z+1;γ	f(z+1;γ	NOUN
ejpam-6144	89	6	,	,	PUNCT
ejpam-6144	89	7	τ	τ	PROPN
ejpam-6144	89	8	,	,	PUNCT
ejpam-6144	89	9	θ	θ	NOUN
ejpam-6144	89	10	)	)	PUNCT
ejpam-6144	89	11	f(z;γ	f(z;γ	PROPN
ejpam-6144	89	12	,	,	PUNCT
ejpam-6144	89	13	τ	τ	PROPN
ejpam-6144	89	14	,	,	PUNCT
ejpam-6144	89	15	θ	θ	PROPN
ejpam-6144	89	16	)	)	PUNCT
ejpam-6144	89	17	is	be	AUX
ejpam-6144	89	18	a	a	DET
ejpam-6144	89	19	decreasing	decrease	VERB
ejpam-6144	89	20	function	function	NOUN
ejpam-6144	89	21	of	of	ADP
ejpam-6144	89	22	z	z	NOUN
ejpam-6144	89	23	for	for	ADP
ejpam-6144	89	24	all	all	DET
ejpam-6144	89	25	parameter	parameter	NOUN
ejpam-6144	89	26	values	value	NOUN
ejpam-6144	89	27	.	.	PUNCT
ejpam-6144	90	1	as	as	ADP
ejpam-6144	90	2	a	a	DET
ejpam-6144	90	3	result	result	NOUN
ejpam-6144	90	4	,	,	PUNCT
ejpam-6144	90	5	the	the	DET
ejpam-6144	90	6	distribution	distribution	NOUN
ejpam-6144	90	7	is	be	AUX
ejpam-6144	90	8	strongly	strongly	ADV
ejpam-6144	90	9	unimodal	unimodal	ADJ
ejpam-6144	90	10	,	,	PUNCT
ejpam-6144	90	11	possesses	possess	VERB
ejpam-6144	90	12	all	all	PRON
ejpam-6144	90	13	of	of	ADP
ejpam-6144	90	14	its	its	PRON
ejpam-6144	90	15	moments	moment	NOUN
ejpam-6144	90	16	,	,	PUNCT
ejpam-6144	90	17	and	and	CCONJ
ejpam-6144	90	18	the	the	DET
ejpam-6144	90	19	hazard	hazard	NOUN
ejpam-6144	90	20	rate	rate	NOUN
ejpam-6144	90	21	functions	function	NOUN
ejpam-6144	90	22	(	(	PUNCT
ejpam-6144	90	23	hrfs	hrf	NOUN
ejpam-6144	90	24	)	)	PUNCT
ejpam-6144	90	25	are	be	AUX
ejpam-6144	90	26	increasing	increase	VERB
ejpam-6144	90	27	.	.	PUNCT
ejpam-6144	91	1	figures	figure	NOUN
ejpam-6144	91	2	1	1	NUM
ejpam-6144	91	3	and	and	CCONJ
ejpam-6144	91	4	2	2	NUM
ejpam-6144	91	5	illustrate	illustrate	VERB
ejpam-6144	91	6	the	the	DET
ejpam-6144	91	7	pmf	pmf	NOUN
ejpam-6144	91	8	and	and	CCONJ
ejpam-6144	91	9	hrf	hrf	PROPN
ejpam-6144	91	10	of	of	ADP
ejpam-6144	91	11	the	the	DET
ejpam-6144	91	12	dgzhlo	dgzhlo	PROPN
ejpam-6144	91	13	distribution	distribution	NOUN
ejpam-6144	91	14	for	for	ADP
ejpam-6144	91	15	different	different	ADJ
ejpam-6144	91	16	values	value	NOUN
ejpam-6144	91	17	of	of	ADP
ejpam-6144	91	18	the	the	DET
ejpam-6144	91	19	model	model	NOUN
ejpam-6144	91	20	parameters	parameter	NOUN
ejpam-6144	91	21	.	.	PUNCT
ejpam-6144	92	1	as	as	SCONJ
ejpam-6144	92	2	shown	show	VERB
ejpam-6144	92	3	in	in	ADP
ejpam-6144	92	4	figures	figure	NOUN
ejpam-6144	92	5	1	1	NUM
ejpam-6144	92	6	and	and	CCONJ
ejpam-6144	92	7	2	2	NUM
ejpam-6144	92	8	,	,	PUNCT
ejpam-6144	92	9	the	the	DET
ejpam-6144	92	10	pmf	pmf	NOUN
ejpam-6144	92	11	of	of	ADP
ejpam-6144	92	12	the	the	DET
ejpam-6144	92	13	dgzhlo	dgzhlo	PROPN
ejpam-6144	92	14	distribution	distribution	NOUN
ejpam-6144	92	15	proves	prove	VERB
ejpam-6144	92	16	to	to	PART
ejpam-6144	92	17	be	be	AUX
ejpam-6144	92	18	a	a	DET
ejpam-6144	92	19	valuable	valuable	ADJ
ejpam-6144	92	20	statistical	statistical	ADJ
ejpam-6144	92	21	tool	tool	NOUN
ejpam-6144	92	22	for	for	ADP
ejpam-6144	92	23	analyzing	analyze	VERB
ejpam-6144	92	24	unimodal	unimodal	ADJ
ejpam-6144	92	25	data	datum	NOUN
ejpam-6144	92	26	with	with	ADP
ejpam-6144	92	27	varying	vary	VERB
ejpam-6144	92	28	degrees	degree	NOUN
ejpam-6144	92	29	of	of	ADP
ejpam-6144	92	30	skewness	skewness	NOUN
ejpam-6144	92	31	.	.	PUNCT
ejpam-6144	93	1	this	this	DET
ejpam-6144	93	2	characteristic	characteristic	NOUN
ejpam-6144	93	3	makes	make	VERB
ejpam-6144	93	4	the	the	DET
ejpam-6144	93	5	pmf	pmf	NOUN
ejpam-6144	93	6	particularly	particularly	ADV
ejpam-6144	93	7	beneficial	beneficial	ADJ
ejpam-6144	93	8	for	for	ADP
ejpam-6144	93	9	sustainable	sustainable	ADJ
ejpam-6144	93	10	dispersion	dispersion	NOUN
ejpam-6144	93	11	data	datum	NOUN
ejpam-6144	93	12	,	,	PUNCT
ejpam-6144	93	13	where	where	SCONJ
ejpam-6144	93	14	it	it	PRON
ejpam-6144	93	15	can	can	AUX
ejpam-6144	93	16	accommodate	accommodate	VERB
ejpam-6144	93	17	different	different	ADJ
ejpam-6144	93	18	forms	form	NOUN
ejpam-6144	93	19	of	of	ADP
ejpam-6144	93	20	data	datum	NOUN
ejpam-6144	93	21	distributions	distribution	NOUN
ejpam-6144	93	22	,	,	PUNCT
ejpam-6144	93	23	ensuring	ensure	VERB
ejpam-6144	93	24	accurate	accurate	ADJ
ejpam-6144	93	25	modeling	modeling	NOUN
ejpam-6144	93	26	of	of	ADP
ejpam-6144	93	27	real	real	ADJ
ejpam-6144	93	28	-	-	PUNCT
ejpam-6144	93	29	world	world	NOUN
ejpam-6144	93	30	phenomena	phenomenon	NOUN
ejpam-6144	93	31	across	across	ADP
ejpam-6144	93	32	multiple	multiple	ADJ
ejpam-6144	93	33	domains	domain	NOUN
ejpam-6144	93	34	.	.	PUNCT
ejpam-6144	94	1	additionally	additionally	ADV
ejpam-6144	94	2	,	,	PUNCT
ejpam-6144	94	3	the	the	DET
ejpam-6144	94	4	hrf	hrf	NOUN
ejpam-6144	94	5	of	of	ADP
ejpam-6144	94	6	the	the	DET
ejpam-6144	94	7	dgzhlo	dgzhlo	PROPN
ejpam-6144	94	8	distribution	distribution	NOUN
ejpam-6144	94	9	exhibits	exhibit	VERB
ejpam-6144	94	10	an	an	DET
ejpam-6144	94	11	increasing	increase	VERB
ejpam-6144	94	12	trend	trend	NOUN
ejpam-6144	94	13	,	,	PUNCT
ejpam-6144	94	14	enhancing	enhance	VERB
ejpam-6144	94	15	its	its	PRON
ejpam-6144	94	16	applicability	applicability	NOUN
ejpam-6144	94	17	in	in	ADP
ejpam-6144	94	18	diverse	diverse	ADJ
ejpam-6144	94	19	m.	m.	NOUN
ejpam-6144	94	20	s.	s.	PROPN
ejpam-6144	94	21	eliwa	eliwa	PROPN
ejpam-6144	94	22	,	,	PUNCT
ejpam-6144	94	23	w.	w.	PROPN
ejpam-6144	94	24	e.	e.	PROPN
ejpam-6144	94	25	alghanem	alghanem	PROPN
ejpam-6144	94	26	,	,	PUNCT
ejpam-6144	94	27	m.	m.	NOUN
ejpam-6144	94	28	a.	a.	NOUN
ejpam-6144	94	29	alenizi	alenizi	PROPN
ejpam-6144	94	30	/	/	SYM
ejpam-6144	94	31	eur	eur	PROPN
ejpam-6144	94	32	.	.	PUNCT
ejpam-6144	95	1	j.	j.	PROPN
ejpam-6144	95	2	pure	pure	PROPN
ejpam-6144	95	3	appl	appl	PROPN
ejpam-6144	95	4	.	.	PROPN
ejpam-6144	95	5	math	math	PROPN
ejpam-6144	95	6	,	,	PUNCT
ejpam-6144	95	7	18	18	NUM
ejpam-6144	95	8	(	(	PUNCT
ejpam-6144	95	9	2	2	NUM
ejpam-6144	95	10	)	)	PUNCT
ejpam-6144	95	11	(	(	PUNCT
ejpam-6144	95	12	2025	2025	NUM
ejpam-6144	95	13	)	)	PUNCT
ejpam-6144	95	14	,	,	PUNCT
ejpam-6144	95	15	6144	6144	NUM
ejpam-6144	95	16	5	5	NUM
ejpam-6144	95	17	of	of	ADP
ejpam-6144	95	18	26	26	NUM
ejpam-6144	96	1	5	5	NUM
ejpam-6144	96	2	10	10	NUM
ejpam-6144	96	3	15	15	NUM
ejpam-6144	96	4	20	20	NUM
ejpam-6144	96	5	0	0	NUM
ejpam-6144	96	6	.0	.0	NUM
ejpam-6144	96	7	0	0	NUM
ejpam-6144	96	8	0	0	NUM
ejpam-6144	96	9	.0	.0	NUM
ejpam-6144	97	1	2	2	NUM
ejpam-6144	97	2	0	0	NUM
ejpam-6144	97	3	.0	.0	NUM
ejpam-6144	97	4	4	4	NUM
ejpam-6144	97	5	0	0	NUM
ejpam-6144	97	6	.0	.0	NUM
ejpam-6144	97	7	6	6	NUM
ejpam-6144	97	8	0	0	NUM
ejpam-6144	97	9	.0	.0	NUM
ejpam-6144	97	10	8	8	NUM
ejpam-6144	97	11	γ	γ	X
ejpam-6144	97	12	=	=	SYM
ejpam-6144	97	13	0.9	0.9	NUM
ejpam-6144	97	14	,	,	PUNCT
ejpam-6144	97	15	τ	τ	PROPN
ejpam-6144	97	16	=	=	NUM
ejpam-6144	97	17	0.3	0.3	NUM
ejpam-6144	97	18	,	,	PUNCT
ejpam-6144	97	19	θ	θ	X
ejpam-6144	97	20	=	=	PUNCT
ejpam-6144	97	21	0.5	0.5	NUM
ejpam-6144	97	22	z	z	NOUN
ejpam-6144	98	1	p	p	X
ejpam-6144	98	2	m	m	NOUN
ejpam-6144	98	3	f	f	NOUN
ejpam-6144	98	4	0	0	NUM
ejpam-6144	98	5	20	20	NUM
ejpam-6144	98	6	40	40	NUM
ejpam-6144	98	7	60	60	NUM
ejpam-6144	98	8	80	80	NUM
ejpam-6144	98	9	100	100	NUM
ejpam-6144	98	10	0	0	NUM
ejpam-6144	98	11	.0	.0	NUM
ejpam-6144	98	12	0	0	NUM
ejpam-6144	98	13	0	0	NUM
ejpam-6144	98	14	0	0	NUM
ejpam-6144	99	1	.0	.0	NUM
ejpam-6144	99	2	1	1	NUM
ejpam-6144	99	3	0	0	NUM
ejpam-6144	99	4	0	0	NUM
ejpam-6144	99	5	.0	.0	NUM
ejpam-6144	99	6	2	2	NUM
ejpam-6144	99	7	0	0	NUM
ejpam-6144	99	8	γ	γ	X
ejpam-6144	99	9	=	=	SYM
ejpam-6144	99	10	0.9	0.9	NUM
ejpam-6144	99	11	,	,	PUNCT
ejpam-6144	99	12	τ	τ	PROPN
ejpam-6144	99	13	=	=	SYM
ejpam-6144	99	14	0.6	0.6	NUM
ejpam-6144	99	15	,	,	PUNCT
ejpam-6144	99	16	θ	θ	X
ejpam-6144	99	17	=	=	PUNCT
ejpam-6144	100	1	0.1	0.1	NUM
ejpam-6144	100	2	z	z	NOUN
ejpam-6144	100	3	p	p	NOUN
ejpam-6144	100	4	m	m	NOUN
ejpam-6144	100	5	f	f	NOUN
ejpam-6144	100	6	5	5	NUM
ejpam-6144	100	7	10	10	NUM
ejpam-6144	100	8	15	15	NUM
ejpam-6144	100	9	20	20	NUM
ejpam-6144	100	10	0	0	NUM
ejpam-6144	100	11	.0	.0	NUM
ejpam-6144	100	12	0	0	NUM
ejpam-6144	100	13	0	0	NUM
ejpam-6144	101	1	.0	.0	NUM
ejpam-6144	101	2	2	2	NUM
ejpam-6144	101	3	0	0	NUM
ejpam-6144	101	4	.0	.0	NUM
ejpam-6144	101	5	4	4	NUM
ejpam-6144	101	6	0	0	NUM
ejpam-6144	101	7	.0	.0	NUM
ejpam-6144	101	8	6	6	NUM
ejpam-6144	101	9	γ	γ	X
ejpam-6144	101	10	=	=	SYM
ejpam-6144	101	11	0.7	0.7	NUM
ejpam-6144	101	12	,	,	PUNCT
ejpam-6144	101	13	τ	τ	PROPN
ejpam-6144	101	14	=	=	NUM
ejpam-6144	101	15	0.8	0.8	NUM
ejpam-6144	101	16	,	,	PUNCT
ejpam-6144	101	17	θ	θ	X
ejpam-6144	101	18	=	=	PUNCT
ejpam-6144	102	1	0.2	0.2	NUM
ejpam-6144	102	2	z	z	NOUN
ejpam-6144	102	3	p	p	NOUN
ejpam-6144	102	4	m	m	NOUN
ejpam-6144	102	5	f	f	NOUN
ejpam-6144	102	6	2	2	NUM
ejpam-6144	102	7	4	4	NUM
ejpam-6144	102	8	6	6	NUM
ejpam-6144	102	9	8	8	NUM
ejpam-6144	102	10	10	10	NUM
ejpam-6144	102	11	0	0	NUM
ejpam-6144	102	12	.0	.0	NUM
ejpam-6144	102	13	0	0	NUM
ejpam-6144	102	14	0	0	NUM
ejpam-6144	103	1	.1	.1	NUM
ejpam-6144	103	2	0	0	NUM
ejpam-6144	103	3	0	0	NUM
ejpam-6144	104	1	.2	.2	NUM
ejpam-6144	104	2	0	0	PUNCT
ejpam-6144	104	3	γ	γ	X
ejpam-6144	104	4	=	=	SYM
ejpam-6144	104	5	0.4	0.4	NUM
ejpam-6144	104	6	,	,	PUNCT
ejpam-6144	104	7	τ	τ	PROPN
ejpam-6144	104	8	=	=	SYM
ejpam-6144	104	9	0.5	0.5	NUM
ejpam-6144	104	10	,	,	PUNCT
ejpam-6144	104	11	θ	θ	X
ejpam-6144	104	12	=	=	PUNCT
ejpam-6144	105	1	0.4	0.4	NUM
ejpam-6144	105	2	z	z	NOUN
ejpam-6144	105	3	p	p	X
ejpam-6144	105	4	m	m	VERB
ejpam-6144	105	5	f	f	NOUN
ejpam-6144	105	6	2	2	NUM
ejpam-6144	105	7	4	4	NUM
ejpam-6144	105	8	6	6	NUM
ejpam-6144	105	9	8	8	NUM
ejpam-6144	105	10	10	10	NUM
ejpam-6144	105	11	0	0	NUM
ejpam-6144	105	12	.0	.0	NUM
ejpam-6144	105	13	2	2	NUM
ejpam-6144	105	14	0	0	NUM
ejpam-6144	105	15	.0	.0	NUM
ejpam-6144	105	16	6	6	NUM
ejpam-6144	105	17	0	0	NUM
ejpam-6144	105	18	.1	.1	NUM
ejpam-6144	105	19	0	0	NUM
ejpam-6144	105	20	0	0	NUM
ejpam-6144	105	21	.1	.1	NUM
ejpam-6144	105	22	4	4	NUM
ejpam-6144	105	23	γ	γ	X
ejpam-6144	105	24	=	=	NUM
ejpam-6144	105	25	0.8	0.8	NUM
ejpam-6144	105	26	,	,	PUNCT
ejpam-6144	105	27	τ	τ	PROPN
ejpam-6144	105	28	=	=	NUM
ejpam-6144	105	29	0.8	0.8	NUM
ejpam-6144	105	30	,	,	PUNCT
ejpam-6144	105	31	θ	θ	X
ejpam-6144	105	32	=	=	PUNCT
ejpam-6144	106	1	0.4	0.4	NUM
ejpam-6144	106	2	z	z	NOUN
ejpam-6144	106	3	p	p	X
ejpam-6144	106	4	m	m	VERB
ejpam-6144	106	5	f	f	NOUN
ejpam-6144	106	6	2	2	NUM
ejpam-6144	106	7	4	4	NUM
ejpam-6144	106	8	6	6	NUM
ejpam-6144	106	9	8	8	NUM
ejpam-6144	106	10	10	10	NUM
ejpam-6144	106	11	0	0	NUM
ejpam-6144	106	12	.0	.0	NUM
ejpam-6144	106	13	0	0	NUM
ejpam-6144	106	14	0	0	NUM
ejpam-6144	106	15	.1	.1	NUM
ejpam-6144	106	16	0	0	NUM
ejpam-6144	106	17	0	0	NUM
ejpam-6144	107	1	.2	.2	NUM
ejpam-6144	107	2	0	0	PUNCT
ejpam-6144	107	3	γ	γ	X
ejpam-6144	107	4	=	=	SYM
ejpam-6144	107	5	0.1	0.1	NUM
ejpam-6144	107	6	,	,	PUNCT
ejpam-6144	107	7	τ	τ	PROPN
ejpam-6144	107	8	=	=	NUM
ejpam-6144	107	9	0.8	0.8	NUM
ejpam-6144	107	10	,	,	PUNCT
ejpam-6144	107	11	θ	θ	X
ejpam-6144	107	12	=	=	PUNCT
ejpam-6144	108	1	0.2	0.2	NUM
ejpam-6144	108	2	z	z	NOUN
ejpam-6144	108	3	p	p	NOUN
ejpam-6144	108	4	m	m	PROPN
ejpam-6144	108	5	f	f	NOUN
ejpam-6144	108	6	figure	figure	NOUN
ejpam-6144	108	7	1	1	NUM
ejpam-6144	108	8	:	:	PUNCT
ejpam-6144	108	9	the	the	DET
ejpam-6144	108	10	pmf	pmf	NOUN
ejpam-6144	108	11	of	of	ADP
ejpam-6144	108	12	the	the	DET
ejpam-6144	108	13	dgzhlo	dgzhlo	PROPN
ejpam-6144	108	14	distribution	distribution	NOUN
ejpam-6144	108	15	.	.	PUNCT
ejpam-6144	109	1	5	5	NUM
ejpam-6144	109	2	10	10	NUM
ejpam-6144	109	3	15	15	NUM
ejpam-6144	109	4	20	20	NUM
ejpam-6144	109	5	0	0	NUM
ejpam-6144	109	6	.1	.1	NUM
ejpam-6144	109	7	0	0	PUNCT
ejpam-6144	110	1	.2	.2	NUM
ejpam-6144	110	2	0	0	NUM
ejpam-6144	110	3	.3	.3	NUM
ejpam-6144	110	4	0	0	NUM
ejpam-6144	111	1	.4	.4	NUM
ejpam-6144	111	2	0	0	NUM
ejpam-6144	112	1	.5	.5	NUM
ejpam-6144	112	2	0	0	NUM
ejpam-6144	113	1	.6	.6	NUM
ejpam-6144	113	2	γ	γ	X
ejpam-6144	113	3	=	=	SYM
ejpam-6144	113	4	0.9	0.9	NUM
ejpam-6144	113	5	,	,	PUNCT
ejpam-6144	113	6	τ	τ	PROPN
ejpam-6144	113	7	=	=	NUM
ejpam-6144	113	8	0.3	0.3	NUM
ejpam-6144	113	9	,	,	PUNCT
ejpam-6144	113	10	θ	θ	X
ejpam-6144	113	11	=	=	SYM
ejpam-6144	113	12	0.5	0.5	NUM
ejpam-6144	113	13	z	z	NOUN
ejpam-6144	113	14	h	h	NOUN
ejpam-6144	113	15	r	r	NOUN
ejpam-6144	113	16	f	f	NOUN
ejpam-6144	113	17	0	0	NUM
ejpam-6144	113	18	20	20	NUM
ejpam-6144	113	19	40	40	NUM
ejpam-6144	113	20	60	60	NUM
ejpam-6144	113	21	80	80	NUM
ejpam-6144	113	22	100	100	NUM
ejpam-6144	113	23	0	0	NUM
ejpam-6144	113	24	.0	.0	NUM
ejpam-6144	113	25	0	0	NUM
ejpam-6144	114	1	.2	.2	NUM
ejpam-6144	114	2	0	0	NUM
ejpam-6144	115	1	.4	.4	NUM
ejpam-6144	115	2	0	0	NUM
ejpam-6144	116	1	.6	.6	NUM
ejpam-6144	116	2	0	0	NUM
ejpam-6144	116	3	.8	.8	NUM
ejpam-6144	116	4	γ	γ	X
ejpam-6144	116	5	=	=	SYM
ejpam-6144	116	6	0.9	0.9	NUM
ejpam-6144	116	7	,	,	PUNCT
ejpam-6144	116	8	τ	τ	PROPN
ejpam-6144	116	9	=	=	SYM
ejpam-6144	116	10	0.6	0.6	NUM
ejpam-6144	116	11	,	,	PUNCT
ejpam-6144	116	12	θ	θ	X
ejpam-6144	116	13	=	=	PUNCT
ejpam-6144	116	14	0.1	0.1	NUM
ejpam-6144	116	15	z	z	NOUN
ejpam-6144	116	16	h	h	NOUN
ejpam-6144	117	1	r	r	NOUN
ejpam-6144	117	2	f	f	NOUN
ejpam-6144	117	3	2	2	NUM
ejpam-6144	117	4	4	4	NUM
ejpam-6144	117	5	6	6	NUM
ejpam-6144	117	6	8	8	NUM
ejpam-6144	117	7	10	10	NUM
ejpam-6144	117	8	0	0	NUM
ejpam-6144	117	9	.2	.2	NUM
ejpam-6144	117	10	0	0	NUM
ejpam-6144	117	11	.3	.3	NUM
ejpam-6144	117	12	0	0	NUM
ejpam-6144	118	1	.4	.4	NUM
ejpam-6144	118	2	0	0	NUM
ejpam-6144	119	1	.5	.5	NUM
ejpam-6144	119	2	0	0	NUM
ejpam-6144	120	1	.6	.6	NUM
ejpam-6144	120	2	0	0	NUM
ejpam-6144	121	1	.7	.7	NUM
ejpam-6144	121	2	0	0	NUM
ejpam-6144	122	1	.8	.8	PROPN
ejpam-6144	122	2	0	0	NUM
ejpam-6144	123	1	.9	.9	NUM
ejpam-6144	123	2	γ	γ	X
ejpam-6144	123	3	=	=	SYM
ejpam-6144	123	4	0.4	0.4	NUM
ejpam-6144	123	5	,	,	PUNCT
ejpam-6144	123	6	τ	τ	PROPN
ejpam-6144	123	7	=	=	SYM
ejpam-6144	123	8	0.5	0.5	NUM
ejpam-6144	123	9	,	,	PUNCT
ejpam-6144	123	10	θ	θ	X
ejpam-6144	123	11	=	=	PUNCT
ejpam-6144	123	12	0.4	0.4	NUM
ejpam-6144	123	13	z	z	NOUN
ejpam-6144	123	14	h	h	NOUN
ejpam-6144	123	15	r	r	NOUN
ejpam-6144	123	16	f	f	NOUN
ejpam-6144	123	17	figure	figure	NOUN
ejpam-6144	123	18	2	2	NUM
ejpam-6144	123	19	:	:	PUNCT
ejpam-6144	123	20	the	the	DET
ejpam-6144	123	21	hrf	hrf	PROPN
ejpam-6144	123	22	of	of	ADP
ejpam-6144	123	23	the	the	DET
ejpam-6144	123	24	dgzhlo	dgzhlo	PROPN
ejpam-6144	123	25	distribution	distribution	NOUN
ejpam-6144	123	26	.	.	PUNCT
ejpam-6144	124	1	fields	field	NOUN
ejpam-6144	124	2	,	,	PUNCT
ejpam-6144	124	3	including	include	VERB
ejpam-6144	124	4	engineering	engineering	NOUN
ejpam-6144	124	5	and	and	CCONJ
ejpam-6144	124	6	medicine	medicine	NOUN
ejpam-6144	124	7	.	.	PUNCT
ejpam-6144	125	1	the	the	DET
ejpam-6144	125	2	increasing	increase	VERB
ejpam-6144	125	3	hrf	hrf	PROPN
ejpam-6144	125	4	is	be	AUX
ejpam-6144	125	5	especially	especially	ADV
ejpam-6144	125	6	useful	useful	ADJ
ejpam-6144	125	7	for	for	ADP
ejpam-6144	125	8	modeling	model	VERB
ejpam-6144	125	9	lifetime	lifetime	NOUN
ejpam-6144	125	10	data	datum	NOUN
ejpam-6144	125	11	,	,	PUNCT
ejpam-6144	125	12	reliability	reliability	NOUN
ejpam-6144	125	13	analysis	analysis	NOUN
ejpam-6144	125	14	,	,	PUNCT
ejpam-6144	125	15	and	and	CCONJ
ejpam-6144	125	16	risk	risk	NOUN
ejpam-6144	125	17	assessment	assessment	NOUN
ejpam-6144	125	18	,	,	PUNCT
ejpam-6144	125	19	where	where	SCONJ
ejpam-6144	125	20	the	the	DET
ejpam-6144	125	21	hazard	hazard	NOUN
ejpam-6144	125	22	rate	rate	NOUN
ejpam-6144	125	23	tends	tend	VERB
ejpam-6144	125	24	to	to	PART
ejpam-6144	125	25	increase	increase	VERB
ejpam-6144	125	26	over	over	ADP
ejpam-6144	125	27	time	time	NOUN
ejpam-6144	125	28	such	such	ADJ
ejpam-6144	125	29	as	as	ADP
ejpam-6144	125	30	in	in	ADP
ejpam-6144	125	31	the	the	DET
ejpam-6144	125	32	analysis	analysis	NOUN
ejpam-6144	125	33	of	of	ADP
ejpam-6144	125	34	engineering	engineering	NOUN
ejpam-6144	125	35	systems	system	NOUN
ejpam-6144	125	36	,	,	PUNCT
ejpam-6144	125	37	medical	medical	ADJ
ejpam-6144	125	38	conditions	condition	NOUN
ejpam-6144	125	39	,	,	PUNCT
ejpam-6144	125	40	or	or	CCONJ
ejpam-6144	125	41	treatment	treatment	NOUN
ejpam-6144	125	42	effectiveness	effectiveness	NOUN
ejpam-6144	125	43	.	.	PUNCT
ejpam-6144	126	1	therefore	therefore	ADV
ejpam-6144	126	2	,	,	PUNCT
ejpam-6144	126	3	the	the	DET
ejpam-6144	126	4	dgzhlo	dgzhlo	NOUN
ejpam-6144	126	5	distribution	distribution	NOUN
ejpam-6144	126	6	provides	provide	VERB
ejpam-6144	126	7	a	a	DET
ejpam-6144	126	8	robust	robust	ADJ
ejpam-6144	126	9	and	and	CCONJ
ejpam-6144	126	10	adaptable	adaptable	ADJ
ejpam-6144	126	11	framework	framework	NOUN
ejpam-6144	126	12	for	for	ADP
ejpam-6144	126	13	analyzing	analyze	VERB
ejpam-6144	126	14	and	and	CCONJ
ejpam-6144	126	15	interpreting	interpret	VERB
ejpam-6144	126	16	data	datum	NOUN
ejpam-6144	126	17	in	in	ADP
ejpam-6144	126	18	both	both	DET
ejpam-6144	126	19	sustainability	sustainability	NOUN
ejpam-6144	126	20	and	and	CCONJ
ejpam-6144	126	21	health	health	NOUN
ejpam-6144	126	22	-	-	PUNCT
ejpam-6144	126	23	related	relate	VERB
ejpam-6144	126	24	fields	field	NOUN
ejpam-6144	126	25	.	.	PUNCT
ejpam-6144	127	1	3	3	X
ejpam-6144	127	2	.	.	X
ejpam-6144	127	3	different	different	ADJ
ejpam-6144	127	4	statistical	statistical	ADJ
ejpam-6144	127	5	properties	property	NOUN
ejpam-6144	127	6	3.1	3.1	NUM
ejpam-6144	127	7	.	.	PUNCT
ejpam-6144	128	1	moments	moment	NOUN
ejpam-6144	128	2	,	,	PUNCT
ejpam-6144	128	3	cumulants	cumulant	NOUN
ejpam-6144	128	4	,	,	PUNCT
ejpam-6144	128	5	and	and	CCONJ
ejpam-6144	128	6	associated	associate	VERB
ejpam-6144	128	7	measures	measure	NOUN
ejpam-6144	128	8	moments	moment	NOUN
ejpam-6144	128	9	and	and	CCONJ
ejpam-6144	128	10	cumulants	cumulant	NOUN
ejpam-6144	128	11	are	be	AUX
ejpam-6144	128	12	essential	essential	ADJ
ejpam-6144	128	13	statistical	statistical	ADJ
ejpam-6144	128	14	tools	tool	NOUN
ejpam-6144	128	15	that	that	PRON
ejpam-6144	128	16	provide	provide	VERB
ejpam-6144	128	17	valuable	valuable	ADJ
ejpam-6144	128	18	insights	insight	NOUN
ejpam-6144	128	19	into	into	ADP
ejpam-6144	128	20	the	the	DET
ejpam-6144	128	21	shape	shape	NOUN
ejpam-6144	128	22	,	,	PUNCT
ejpam-6144	128	23	variability	variability	NOUN
ejpam-6144	128	24	,	,	PUNCT
ejpam-6144	128	25	and	and	CCONJ
ejpam-6144	128	26	relationships	relationship	NOUN
ejpam-6144	128	27	within	within	ADP
ejpam-6144	128	28	a	a	DET
ejpam-6144	128	29	probability	probability	NOUN
ejpam-6144	128	30	distribution	distribution	NOUN
ejpam-6144	128	31	.	.	PUNCT
ejpam-6144	129	1	moments	moment	NOUN
ejpam-6144	129	2	,	,	PUNCT
ejpam-6144	129	3	including	include	VERB
ejpam-6144	129	4	the	the	DET
ejpam-6144	129	5	mean	mean	ADJ
ejpam-6144	129	6	,	,	PUNCT
ejpam-6144	129	7	variance	variance	NOUN
ejpam-6144	129	8	,	,	PUNCT
ejpam-6144	129	9	and	and	CCONJ
ejpam-6144	129	10	index	index	NOUN
ejpam-6144	129	11	of	of	ADP
ejpam-6144	129	12	dispersion	dispersion	NOUN
ejpam-6144	129	13	,	,	PUNCT
ejpam-6144	129	14	offer	offer	VERB
ejpam-6144	129	15	information	information	NOUN
ejpam-6144	129	16	about	about	ADP
ejpam-6144	129	17	the	the	DET
ejpam-6144	129	18	central	central	ADJ
ejpam-6144	129	19	m.	m.	NOUN
ejpam-6144	129	20	s.	s.	PROPN
ejpam-6144	129	21	eliwa	eliwa	PROPN
ejpam-6144	129	22	,	,	PUNCT
ejpam-6144	129	23	w.	w.	PROPN
ejpam-6144	129	24	e.	e.	PROPN
ejpam-6144	129	25	alghanem	alghanem	PROPN
ejpam-6144	129	26	,	,	PUNCT
ejpam-6144	129	27	m.	m.	NOUN
ejpam-6144	129	28	a.	a.	NOUN
ejpam-6144	129	29	alenizi	alenizi	PROPN
ejpam-6144	129	30	/	/	SYM
ejpam-6144	129	31	eur	eur	PROPN
ejpam-6144	129	32	.	.	PUNCT
ejpam-6144	130	1	j.	j.	PROPN
ejpam-6144	130	2	pure	pure	PROPN
ejpam-6144	130	3	appl	appl	PROPN
ejpam-6144	130	4	.	.	PROPN
ejpam-6144	130	5	math	math	PROPN
ejpam-6144	130	6	,	,	PUNCT
ejpam-6144	130	7	18	18	NUM
ejpam-6144	130	8	(	(	PUNCT
ejpam-6144	130	9	2	2	NUM
ejpam-6144	130	10	)	)	PUNCT
ejpam-6144	130	11	(	(	PUNCT
ejpam-6144	130	12	2025	2025	NUM
ejpam-6144	130	13	)	)	PUNCT
ejpam-6144	130	14	,	,	PUNCT
ejpam-6144	130	15	6144	6144	NUM
ejpam-6144	130	16	6	6	NUM
ejpam-6144	130	17	of	of	ADP
ejpam-6144	130	18	26	26	NUM
ejpam-6144	130	19	tendency	tendency	NOUN
ejpam-6144	130	20	and	and	CCONJ
ejpam-6144	130	21	spread	spread	VERB
ejpam-6144	130	22	of	of	ADP
ejpam-6144	130	23	the	the	DET
ejpam-6144	130	24	distribution	distribution	NOUN
ejpam-6144	130	25	.	.	PUNCT
ejpam-6144	131	1	cumulants	cumulant	NOUN
ejpam-6144	131	2	,	,	PUNCT
ejpam-6144	131	3	in	in	ADP
ejpam-6144	131	4	contrast	contrast	NOUN
ejpam-6144	131	5	,	,	PUNCT
ejpam-6144	131	6	capture	capture	VERB
ejpam-6144	131	7	higher	high	ADJ
ejpam-6144	131	8	-	-	PUNCT
ejpam-6144	131	9	order	order	NOUN
ejpam-6144	131	10	features	feature	NOUN
ejpam-6144	131	11	such	such	ADJ
ejpam-6144	131	12	as	as	ADP
ejpam-6144	131	13	skewness	skewness	NOUN
ejpam-6144	131	14	and	and	CCONJ
ejpam-6144	131	15	kurtosis	kurtosis	NOUN
ejpam-6144	131	16	,	,	PUNCT
ejpam-6144	131	17	providing	provide	VERB
ejpam-6144	131	18	a	a	DET
ejpam-6144	131	19	deeper	deep	ADJ
ejpam-6144	131	20	understanding	understanding	NOUN
ejpam-6144	131	21	of	of	ADP
ejpam-6144	131	22	the	the	DET
ejpam-6144	131	23	distribution	distribution	NOUN
ejpam-6144	131	24	’s	’s	PART
ejpam-6144	131	25	characteristics	characteristic	NOUN
ejpam-6144	131	26	.	.	PUNCT
ejpam-6144	132	1	these	these	DET
ejpam-6144	132	2	measures	measure	NOUN
ejpam-6144	132	3	are	be	AUX
ejpam-6144	132	4	integral	integral	ADJ
ejpam-6144	132	5	to	to	ADP
ejpam-6144	132	6	statistical	statistical	ADJ
ejpam-6144	132	7	modeling	modeling	NOUN
ejpam-6144	132	8	,	,	PUNCT
ejpam-6144	132	9	reliability	reliability	NOUN
ejpam-6144	132	10	analysis	analysis	NOUN
ejpam-6144	132	11	,	,	PUNCT
ejpam-6144	132	12	and	and	CCONJ
ejpam-6144	132	13	parameter	parameter	NOUN
ejpam-6144	132	14	estimation	estimation	NOUN
ejpam-6144	132	15	.	.	PUNCT
ejpam-6144	133	1	in	in	ADP
ejpam-6144	133	2	this	this	DET
ejpam-6144	133	3	section	section	NOUN
ejpam-6144	133	4	,	,	PUNCT
ejpam-6144	133	5	we	we	PRON
ejpam-6144	133	6	will	will	AUX
ejpam-6144	133	7	derive	derive	VERB
ejpam-6144	133	8	the	the	DET
ejpam-6144	133	9	moments	moment	NOUN
ejpam-6144	133	10	,	,	PUNCT
ejpam-6144	133	11	cumulants	cumulant	NOUN
ejpam-6144	133	12	,	,	PUNCT
ejpam-6144	133	13	and	and	CCONJ
ejpam-6144	133	14	other	other	ADJ
ejpam-6144	133	15	related	related	ADJ
ejpam-6144	133	16	measures	measure	NOUN
ejpam-6144	133	17	for	for	ADP
ejpam-6144	133	18	the	the	DET
ejpam-6144	133	19	dgzhlo	dgzhlo	PROPN
ejpam-6144	133	20	model	model	NOUN
ejpam-6144	133	21	.	.	PUNCT
ejpam-6144	134	1	these	these	DET
ejpam-6144	134	2	quantities	quantity	NOUN
ejpam-6144	134	3	are	be	AUX
ejpam-6144	134	4	crucial	crucial	ADJ
ejpam-6144	134	5	for	for	ADP
ejpam-6144	134	6	gaining	gain	VERB
ejpam-6144	134	7	a	a	DET
ejpam-6144	134	8	comprehensive	comprehensive	ADJ
ejpam-6144	134	9	understanding	understanding	NOUN
ejpam-6144	134	10	of	of	ADP
ejpam-6144	134	11	the	the	DET
ejpam-6144	134	12	model	model	NOUN
ejpam-6144	134	13	’s	’s	PART
ejpam-6144	134	14	key	key	ADJ
ejpam-6144	134	15	properties	property	NOUN
ejpam-6144	134	16	and	and	CCONJ
ejpam-6144	134	17	its	its	PRON
ejpam-6144	134	18	practical	practical	ADJ
ejpam-6144	134	19	applications	application	NOUN
ejpam-6144	134	20	.	.	PUNCT
ejpam-6144	135	1	let	let	VERB
ejpam-6144	135	2	z	z	PRON
ejpam-6144	135	3	be	be	AUX
ejpam-6144	135	4	a	a	DET
ejpam-6144	135	5	non	non	ADJ
ejpam-6144	135	6	-	-	ADJ
ejpam-6144	135	7	negative	negative	ADJ
ejpam-6144	135	8	random	random	ADJ
ejpam-6144	135	9	variable	variable	NOUN
ejpam-6144	135	10	following	follow	VERB
ejpam-6144	135	11	the	the	DET
ejpam-6144	135	12	dgzhlo	dgzhlo	PROPN
ejpam-6144	135	13	distribution	distribution	NOUN
ejpam-6144	135	14	,	,	PUNCT
ejpam-6144	135	15	denoted	denote	VERB
ejpam-6144	135	16	as	as	ADP
ejpam-6144	135	17	z	z	NOUN
ejpam-6144	135	18	∼	∼	NOUN
ejpam-6144	135	19	dgzhlo(z	dgzhlo(z	NOUN
ejpam-6144	135	20	;	;	PUNCT
ejpam-6144	135	21	γ	γ	X
ejpam-6144	135	22	,	,	PUNCT
ejpam-6144	135	23	τ	τ	PROPN
ejpam-6144	135	24	,	,	PUNCT
ejpam-6144	135	25	θ	θ	PROPN
ejpam-6144	135	26	)	)	PUNCT
ejpam-6144	135	27	.	.	PUNCT
ejpam-6144	136	1	the	the	DET
ejpam-6144	136	2	rth	rth	PROPN
ejpam-6144	136	3	moment	moment	NOUN
ejpam-6144	136	4	of	of	ADP
ejpam-6144	136	5	z	z	NOUN
ejpam-6144	136	6	can	can	AUX
ejpam-6144	136	7	be	be	AUX
ejpam-6144	136	8	expressed	express	VERB
ejpam-6144	136	9	as	as	ADP
ejpam-6144	136	10	µ′r	µ′r	NOUN
ejpam-6144	136	11	=	=	SYM
ejpam-6144	136	12	e(zr	e(zr	NOUN
ejpam-6144	136	13	)	)	PUNCT
ejpam-6144	136	14	=	=	PUNCT
ejpam-6144	137	1	∞∑	∞∑	NUM
ejpam-6144	137	2	z=0	z=0	NUM
ejpam-6144	137	3	zrfz(z	zrfz(z	NOUN
ejpam-6144	137	4	;	;	PUNCT
ejpam-6144	137	5	γ	γ	PROPN
ejpam-6144	137	6	,	,	PUNCT
ejpam-6144	137	7	τ	τ	PROPN
ejpam-6144	137	8	,	,	PUNCT
ejpam-6144	137	9	θ	θ	NOUN
ejpam-6144	137	10	)	)	PUNCT
ejpam-6144	137	11	=	=	PUNCT
ejpam-6144	138	1	∞∑	∞∑	NUM
ejpam-6144	138	2	z=1	z=1	NUM
ejpam-6144	139	1	[	[	X
ejpam-6144	139	2	zr	zr	X
ejpam-6144	139	3	−	−	PROPN
ejpam-6144	139	4	(	(	PUNCT
ejpam-6144	139	5	z	z	NOUN
ejpam-6144	139	6	−	−	PROPN
ejpam-6144	139	7	1)r]fz(z	1)r]fz(z	NUM
ejpam-6144	139	8	−	−	NOUN
ejpam-6144	139	9	1	1	NUM
ejpam-6144	139	10	;	;	PUNCT
ejpam-6144	139	11	γ	γ	X
ejpam-6144	139	12	,	,	PUNCT
ejpam-6144	139	13	τ	τ	PROPN
ejpam-6144	139	14	,	,	PUNCT
ejpam-6144	139	15	θ	θ	NOUN
ejpam-6144	139	16	)	)	PUNCT
ejpam-6144	139	17	=	=	SYM
ejpam-6144	139	18	γ−	γ−	VERB
ejpam-6144	139	19	1	1	NUM
ejpam-6144	139	20	τ	τ	PROPN
ejpam-6144	139	21	∞∑	∞∑	PROPN
ejpam-6144	139	22	z=1	z=1	PUNCT
ejpam-6144	140	1	[	[	X
ejpam-6144	140	2	zr	zr	X
ejpam-6144	140	3	−	−	PROPN
ejpam-6144	140	4	(	(	PUNCT
ejpam-6144	140	5	z	z	NOUN
ejpam-6144	140	6	−	−	PROPN
ejpam-6144	140	7	1)r	1)r	NUM
ejpam-6144	140	8	]	]	X
ejpam-6144	140	9	γ	γ	X
ejpam-6144	140	10	1	1	NUM
ejpam-6144	140	11	τ	τ	PROPN
ejpam-6144	140	12	[	[	PUNCT
ejpam-6144	140	13	1−	1−	NUM
ejpam-6144	140	14	1−e−θz	1−e−θz	NUM
ejpam-6144	140	15	1+e−θz	1+e−θz	NUM
ejpam-6144	140	16	]	]	X
ejpam-6144	140	17	−τ	−τ	PROPN
ejpam-6144	140	18	.	.	PUNCT
ejpam-6144	141	1	(	(	PUNCT
ejpam-6144	141	2	11	11	X
ejpam-6144	141	3	)	)	PUNCT
ejpam-6144	141	4	using	use	VERB
ejpam-6144	141	5	equation	equation	NOUN
ejpam-6144	141	6	(	(	PUNCT
ejpam-6144	141	7	11	11	NUM
ejpam-6144	141	8	)	)	PUNCT
ejpam-6144	141	9	,	,	PUNCT
ejpam-6144	141	10	the	the	DET
ejpam-6144	141	11	mean	mean	ADJ
ejpam-6144	141	12	(	(	PUNCT
ejpam-6144	141	13	µ′1	µ′1	NUM
ejpam-6144	141	14	)	)	PUNCT
ejpam-6144	141	15	and	and	CCONJ
ejpam-6144	141	16	variance	variance	NOUN
ejpam-6144	141	17	,	,	PUNCT
ejpam-6144	141	18	say	say	VERB
ejpam-6144	141	19	var(z	var(z	PROPN
ejpam-6144	141	20	)	)	PUNCT
ejpam-6144	141	21	,	,	PUNCT
ejpam-6144	141	22	can	can	AUX
ejpam-6144	141	23	be	be	AUX
ejpam-6144	141	24	respectively	respectively	ADV
ejpam-6144	141	25	listed	list	VERB
ejpam-6144	141	26	as	as	ADP
ejpam-6144	141	27	µ′1	µ′1	NOUN
ejpam-6144	141	28	=	=	SYM
ejpam-6144	141	29	γ−	γ−	NUM
ejpam-6144	141	30	1	1	NUM
ejpam-6144	141	31	τ	τ	PROPN
ejpam-6144	141	32	∞∑	∞∑	ADJ
ejpam-6144	141	33	z=1	z=1	NUM
ejpam-6144	141	34	γ	γ	X
ejpam-6144	141	35	1	1	NUM
ejpam-6144	141	36	τ	τ	PROPN
ejpam-6144	141	37	[	[	PUNCT
ejpam-6144	141	38	1−	1−	NUM
ejpam-6144	141	39	1−e−θz	1−e−θz	NUM
ejpam-6144	141	40	1+e−θz	1+e−θz	NUM
ejpam-6144	141	41	]	]	SYM
ejpam-6144	141	42	−τ	−τ	PROPN
ejpam-6144	141	43	,	,	PUNCT
ejpam-6144	141	44	var(z	var(z	PROPN
ejpam-6144	141	45	)	)	PUNCT
ejpam-6144	141	46	=	=	PUNCT
ejpam-6144	142	1	γ−	γ−	VERB
ejpam-6144	142	2	1	1	NUM
ejpam-6144	142	3	τ	τ	PROPN
ejpam-6144	142	4	∞∑	∞∑	PROPN
ejpam-6144	142	5	z=1	z=1	NUM
ejpam-6144	142	6	(	(	PUNCT
ejpam-6144	142	7	2z	2z	NUM
ejpam-6144	142	8	−	−	NOUN
ejpam-6144	142	9	1	1	X
ejpam-6144	142	10	)	)	PUNCT
ejpam-6144	142	11	γ	γ	PROPN
ejpam-6144	142	12	1	1	NUM
ejpam-6144	142	13	τ	τ	PROPN
ejpam-6144	142	14	[	[	PUNCT
ejpam-6144	142	15	1−	1−	NUM
ejpam-6144	142	16	1−e−θz	1−e−θz	NUM
ejpam-6144	142	17	1+e−θz	1+e−θz	NUM
ejpam-6144	142	18	]	]	PUNCT
ejpam-6144	142	19	−τ	−τ	PROPN
ejpam-6144	142	20	−	−	PROPN
ejpam-6144	143	1	(	(	PUNCT
ejpam-6144	143	2	µ′1	µ′1	NOUN
ejpam-6144	143	3	)	)	PUNCT
ejpam-6144	143	4	2	2	NUM
ejpam-6144	143	5	.	.	PUNCT
ejpam-6144	144	1	(	(	PUNCT
ejpam-6144	144	2	12	12	NUM
ejpam-6144	144	3	)	)	PUNCT
ejpam-6144	144	4	the	the	DET
ejpam-6144	144	5	dispersion	dispersion	NOUN
ejpam-6144	144	6	index	index	NOUN
ejpam-6144	144	7	(	(	PUNCT
ejpam-6144	144	8	dsi	dsi	NOUN
ejpam-6144	144	9	)	)	PUNCT
ejpam-6144	144	10	is	be	AUX
ejpam-6144	144	11	the	the	DET
ejpam-6144	144	12	ratio	ratio	NOUN
ejpam-6144	144	13	of	of	ADP
ejpam-6144	144	14	variance	variance	NOUN
ejpam-6144	144	15	to	to	ADP
ejpam-6144	144	16	the	the	DET
ejpam-6144	144	17	mean	mean	NOUN
ejpam-6144	144	18	,	,	PUNCT
ejpam-6144	144	19	serving	serve	VERB
ejpam-6144	144	20	as	as	ADP
ejpam-6144	144	21	a	a	DET
ejpam-6144	144	22	tool	tool	NOUN
ejpam-6144	144	23	to	to	PART
ejpam-6144	144	24	assess	assess	VERB
ejpam-6144	144	25	whether	whether	SCONJ
ejpam-6144	144	26	a	a	DET
ejpam-6144	144	27	model	model	NOUN
ejpam-6144	144	28	is	be	AUX
ejpam-6144	144	29	suitable	suitable	ADJ
ejpam-6144	144	30	for	for	ADP
ejpam-6144	144	31	over	over	ADV
ejpam-6144	144	32	-	-	PUNCT
ejpam-6144	144	33	dispersed	disperse	VERB
ejpam-6144	144	34	or	or	CCONJ
ejpam-6144	144	35	under	under	ADV
ejpam-6144	144	36	-	-	PUNCT
ejpam-6144	144	37	dispersed	disperse	VERB
ejpam-6144	144	38	data	datum	NOUN
ejpam-6144	144	39	.	.	PUNCT
ejpam-6144	145	1	it	it	PRON
ejpam-6144	145	2	is	be	AUX
ejpam-6144	145	3	widely	widely	ADV
ejpam-6144	145	4	used	use	VERB
ejpam-6144	145	5	in	in	ADP
ejpam-6144	145	6	ecology	ecology	NOUN
ejpam-6144	145	7	as	as	ADP
ejpam-6144	145	8	a	a	DET
ejpam-6144	145	9	standard	standard	ADJ
ejpam-6144	145	10	metric	metric	NOUN
ejpam-6144	145	11	to	to	PART
ejpam-6144	145	12	evaluate	evaluate	VERB
ejpam-6144	145	13	patterns	pattern	NOUN
ejpam-6144	145	14	of	of	ADP
ejpam-6144	145	15	clustering	clustering	NOUN
ejpam-6144	145	16	(	(	PUNCT
ejpam-6144	145	17	over	over	ADP
ejpam-6144	145	18	-	-	PUNCT
ejpam-6144	145	19	dispersion	dispersion	NOUN
ejpam-6144	145	20	)	)	PUNCT
ejpam-6144	145	21	or	or	CCONJ
ejpam-6144	145	22	repulsion	repulsion	NOUN
ejpam-6144	145	23	(	(	PUNCT
ejpam-6144	145	24	under	under	NOUN
ejpam-6144	145	25	-	-	PUNCT
ejpam-6144	145	26	dispersion	dispersion	NOUN
ejpam-6144	145	27	)	)	PUNCT
ejpam-6144	145	28	.	.	PUNCT
ejpam-6144	146	1	when	when	SCONJ
ejpam-6144	146	2	dsi	dsi	X
ejpam-6144	146	3	>	>	X
ejpam-6144	146	4	1	1	NUM
ejpam-6144	146	5	,	,	PUNCT
ejpam-6144	146	6	the	the	DET
ejpam-6144	146	7	distribution	distribution	NOUN
ejpam-6144	146	8	is	be	AUX
ejpam-6144	146	9	considered	consider	VERB
ejpam-6144	146	10	over	over	ADV
ejpam-6144	146	11	-	-	PUNCT
ejpam-6144	146	12	dispersed	disperse	VERB
ejpam-6144	146	13	,	,	PUNCT
ejpam-6144	146	14	whereas	whereas	SCONJ
ejpam-6144	146	15	dsi	dsi	ADJ
ejpam-6144	146	16	<	<	X
ejpam-6144	146	17	1	1	NUM
ejpam-6144	146	18	indicates	indicate	VERB
ejpam-6144	146	19	under	under	NOUN
ejpam-6144	146	20	-	-	PUNCT
ejpam-6144	146	21	dispersion	dispersion	NOUN
ejpam-6144	146	22	.	.	PUNCT
ejpam-6144	147	1	the	the	DET
ejpam-6144	147	2	dsi	dsi	PROPN
ejpam-6144	147	3	for	for	ADP
ejpam-6144	147	4	the	the	DET
ejpam-6144	147	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	147	6	model	model	NOUN
ejpam-6144	147	7	is	be	AUX
ejpam-6144	147	8	expressed	express	VERB
ejpam-6144	147	9	as	as	ADP
ejpam-6144	147	10	dsi(z	dsi(z	PROPN
ejpam-6144	147	11	)	)	PUNCT
ejpam-6144	147	12	=	=	PUNCT
ejpam-6144	148	1	∑∞	∑∞	X
ejpam-6144	149	1	z=1	z=1	X
ejpam-6144	150	1	(	(	PUNCT
ejpam-6144	150	2	2z	2z	NUM
ejpam-6144	150	3	−	−	NOUN
ejpam-6144	150	4	1	1	X
ejpam-6144	150	5	)	)	PUNCT
ejpam-6144	150	6	γ	γ	PROPN
ejpam-6144	150	7	1	1	NUM
ejpam-6144	150	8	τ	τ	PROPN
ejpam-6144	150	9	[	[	PUNCT
ejpam-6144	150	10	1−	1−	NUM
ejpam-6144	150	11	1−e−θz	1−e−θz	NUM
ejpam-6144	150	12	1+e−θz	1+e−θz	NUM
ejpam-6144	150	13	]	]	PUNCT
ejpam-6144	150	14	−τ	−τ	ADJ
ejpam-6144	150	15	∑∞	∑∞	X
ejpam-6144	150	16	z=1	z=1	NUM
ejpam-6144	150	17	γ	γ	X
ejpam-6144	150	18	1	1	NUM
ejpam-6144	150	19	τ	τ	PROPN
ejpam-6144	150	20	[	[	PUNCT
ejpam-6144	150	21	1−	1−	NUM
ejpam-6144	150	22	1−e−θz	1−e−θz	NUM
ejpam-6144	150	23	1+e−θz	1+e−θz	NUM
ejpam-6144	150	24	]	]	PUNCT
ejpam-6144	150	25	−τ	−τ	NOUN
ejpam-6144	150	26	−	−	PROPN
ejpam-6144	150	27	∞∑	∞∑	ADJ
ejpam-6144	150	28	z=1	z=1	NUM
ejpam-6144	150	29	γ	γ	X
ejpam-6144	150	30	1	1	NUM
ejpam-6144	150	31	τ	τ	PROPN
ejpam-6144	150	32	[	[	PUNCT
ejpam-6144	150	33	1−	1−	NUM
ejpam-6144	150	34	1−e−θz	1−e−θz	NUM
ejpam-6144	150	35	1+e−θz	1+e−θz	NUM
ejpam-6144	150	36	]	]	X
ejpam-6144	150	37	−τ	−τ	PROPN
ejpam-6144	150	38	.	.	PUNCT
ejpam-6144	151	1	(	(	PUNCT
ejpam-6144	151	2	13	13	NUM
ejpam-6144	151	3	)	)	PUNCT
ejpam-6144	151	4	alternatively	alternatively	ADV
ejpam-6144	151	5	,	,	PUNCT
ejpam-6144	151	6	the	the	DET
ejpam-6144	151	7	moment	moment	NOUN
ejpam-6144	151	8	generating	generate	VERB
ejpam-6144	151	9	function	function	NOUN
ejpam-6144	151	10	(	(	PUNCT
ejpam-6144	151	11	mgf	mgf	PROPN
ejpam-6144	151	12	)	)	PUNCT
ejpam-6144	151	13	can	can	AUX
ejpam-6144	151	14	be	be	AUX
ejpam-6144	151	15	expressed	express	VERB
ejpam-6144	151	16	as	as	ADP
ejpam-6144	151	17	mz(t	mz(t	NOUN
ejpam-6144	151	18	)	)	PUNCT
ejpam-6144	151	19	=	=	PUNCT
ejpam-6144	152	1	∞∑	∞∑	NUM
ejpam-6144	152	2	z=0	z=0	NUM
ejpam-6144	152	3	eztfz(z	eztfz(z	NOUN
ejpam-6144	152	4	;	;	PUNCT
ejpam-6144	152	5	γ	γ	X
ejpam-6144	152	6	,	,	PUNCT
ejpam-6144	152	7	τ	τ	PROPN
ejpam-6144	152	8	,	,	PUNCT
ejpam-6144	152	9	θ	θ	NOUN
ejpam-6144	152	10	)	)	PUNCT
ejpam-6144	152	11	=	=	SYM
ejpam-6144	152	12	γ−	γ−	VERB
ejpam-6144	152	13	1	1	NUM
ejpam-6144	152	14	τ	τ	PROPN
ejpam-6144	153	1	[	[	PUNCT
ejpam-6144	153	2	∞∑	∞∑	PROPN
ejpam-6144	153	3	z=0	z=0	NUM
ejpam-6144	153	4	eztγλ(z;τ	eztγλ(z;τ	NOUN
ejpam-6144	153	5	)	)	PUNCT
ejpam-6144	153	6	−	−	PROPN
ejpam-6144	153	7	∞∑	∞∑	NUM
ejpam-6144	153	8	z=0	z=0	NUM
ejpam-6144	153	9	eztγλ(z+1;τ	eztγλ(z+1;τ	NOUN
ejpam-6144	153	10	)	)	PUNCT
ejpam-6144	153	11	]	]	PUNCT
ejpam-6144	154	1	=	=	PUNCT
ejpam-6144	154	2	γ−	γ−	NUM
ejpam-6144	154	3	1	1	NUM
ejpam-6144	154	4	τ	τ	X
ejpam-6144	154	5	[	[	PUNCT
ejpam-6144	154	6	(	(	PUNCT
ejpam-6144	154	7	γλ(0;τ	γλ(0;τ	NUM
ejpam-6144	154	8	)	)	PUNCT
ejpam-6144	154	9	+	+	CCONJ
ejpam-6144	154	10	etγλ(1;τ	etγλ(1;τ	NUM
ejpam-6144	154	11	)	)	PUNCT
ejpam-6144	155	1	+	+	CCONJ
ejpam-6144	155	2	e2tγλ(2;τ	e2tγλ(2;τ	NOUN
ejpam-6144	155	3	)	)	PUNCT
ejpam-6144	155	4	+	+	CCONJ
ejpam-6144	155	5	e3tγλ(3;τ	e3tγλ(3;τ	NOUN
ejpam-6144	155	6	)	)	PUNCT
ejpam-6144	155	7	+	+	CCONJ
ejpam-6144	155	8	...	...	PUNCT
ejpam-6144	155	9	)	)	PUNCT
ejpam-6144	155	10	m.	m.	NOUN
ejpam-6144	155	11	s.	s.	PROPN
ejpam-6144	155	12	eliwa	eliwa	PROPN
ejpam-6144	155	13	,	,	PUNCT
ejpam-6144	155	14	w.	w.	PROPN
ejpam-6144	155	15	e.	e.	PROPN
ejpam-6144	155	16	alghanem	alghanem	PROPN
ejpam-6144	155	17	,	,	PUNCT
ejpam-6144	155	18	m.	m.	NOUN
ejpam-6144	155	19	a.	a.	NOUN
ejpam-6144	155	20	alenizi	alenizi	PROPN
ejpam-6144	155	21	/	/	SYM
ejpam-6144	155	22	eur	eur	PROPN
ejpam-6144	155	23	.	.	PUNCT
ejpam-6144	156	1	j.	j.	PROPN
ejpam-6144	156	2	pure	pure	PROPN
ejpam-6144	156	3	appl	appl	PROPN
ejpam-6144	156	4	.	.	PROPN
ejpam-6144	156	5	math	math	PROPN
ejpam-6144	156	6	,	,	PUNCT
ejpam-6144	156	7	18	18	NUM
ejpam-6144	156	8	(	(	PUNCT
ejpam-6144	156	9	2	2	NUM
ejpam-6144	156	10	)	)	PUNCT
ejpam-6144	156	11	(	(	PUNCT
ejpam-6144	156	12	2025	2025	NUM
ejpam-6144	156	13	)	)	PUNCT
ejpam-6144	156	14	,	,	PUNCT
ejpam-6144	156	15	6144	6144	NUM
ejpam-6144	156	16	7	7	NUM
ejpam-6144	156	17	of	of	ADP
ejpam-6144	156	18	26	26	NUM
ejpam-6144	156	19	−	−	NOUN
ejpam-6144	156	20	(	(	PUNCT
ejpam-6144	156	21	γλ(1;τ	γλ(1;τ	NOUN
ejpam-6144	156	22	)	)	PUNCT
ejpam-6144	156	23	+	+	NUM
ejpam-6144	156	24	etγλ(2;τ	etγλ(2;τ	X
ejpam-6144	156	25	)	)	PUNCT
ejpam-6144	157	1	+	+	NUM
ejpam-6144	157	2	e2tγλ(3;τ	e2tγλ(3;τ	NOUN
ejpam-6144	157	3	)	)	PUNCT
ejpam-6144	158	1	+	+	SYM
ejpam-6144	158	2	e3tγλ(4;τ	e3tγλ(4;τ	X
ejpam-6144	158	3	)	)	PUNCT
ejpam-6144	158	4	+	+	CCONJ
ejpam-6144	158	5	...	...	PUNCT
ejpam-6144	158	6	)	)	PUNCT
ejpam-6144	158	7	]	]	PUNCT
ejpam-6144	159	1	=	=	PUNCT
ejpam-6144	159	2	γ−	γ−	NUM
ejpam-6144	159	3	1	1	NUM
ejpam-6144	159	4	τ	τ	PROPN
ejpam-6144	159	5	[	[	PUNCT
ejpam-6144	159	6	1	1	NUM
ejpam-6144	159	7	+	+	NUM
ejpam-6144	159	8	∞∑	∞∑	PROPN
ejpam-6144	159	9	z=1	z=1	NUM
ejpam-6144	159	10	(	(	PUNCT
ejpam-6144	159	11	ezt	ezt	PROPN
ejpam-6144	159	12	−	−	PROPN
ejpam-6144	159	13	e(z−1)t	e(z−1)t	PROPN
ejpam-6144	159	14	)	)	PUNCT
ejpam-6144	159	15	γλ(z;τ	γλ(z;τ	PROPN
ejpam-6144	159	16	)	)	PUNCT
ejpam-6144	159	17	]	]	PUNCT
ejpam-6144	159	18	,	,	PUNCT
ejpam-6144	159	19	(	(	PUNCT
ejpam-6144	159	20	14	14	NUM
ejpam-6144	159	21	)	)	PUNCT
ejpam-6144	159	22	where	where	SCONJ
ejpam-6144	159	23	λ(z	λ(z	NOUN
ejpam-6144	159	24	;	;	PUNCT
ejpam-6144	159	25	τ	τ	X
ejpam-6144	159	26	)	)	PUNCT
ejpam-6144	159	27	=	=	SYM
ejpam-6144	159	28	1	1	NUM
ejpam-6144	159	29	τ	τ	X
ejpam-6144	159	30	[	[	PUNCT
ejpam-6144	159	31	1−	1−	NUM
ejpam-6144	159	32	1−	1−	NUM
ejpam-6144	159	33	e−θz	e−θz	ADV
ejpam-6144	159	34	1	1	NUM
ejpam-6144	159	35	+	+	CCONJ
ejpam-6144	159	36	e−θz	e−θz	ADV
ejpam-6144	159	37	]	]	X
ejpam-6144	159	38	−τ	−τ	PROPN
ejpam-6144	159	39	.	.	PUNCT
ejpam-6144	160	1	the	the	DET
ejpam-6144	160	2	first	first	ADJ
ejpam-6144	160	3	four	four	NUM
ejpam-6144	160	4	derivatives	derivative	NOUN
ejpam-6144	160	5	of	of	ADP
ejpam-6144	160	6	equation	equation	NOUN
ejpam-6144	160	7	(	(	PUNCT
ejpam-6144	160	8	14	14	NUM
ejpam-6144	160	9	)	)	PUNCT
ejpam-6144	160	10	,	,	PUNCT
ejpam-6144	160	11	with	with	ADP
ejpam-6144	160	12	respect	respect	NOUN
ejpam-6144	160	13	to	to	ADP
ejpam-6144	160	14	t	t	PROPN
ejpam-6144	160	15	at	at	ADP
ejpam-6144	160	16	t	t	PROPN
ejpam-6144	160	17	=	=	SYM
ejpam-6144	160	18	0	0	NUM
ejpam-6144	160	19	,	,	PUNCT
ejpam-6144	160	20	yield	yield	VERB
ejpam-6144	160	21	the	the	DET
ejpam-6144	160	22	first	first	ADJ
ejpam-6144	160	23	four	four	NUM
ejpam-6144	160	24	moments	moment	NOUN
ejpam-6144	160	25	about	about	ADP
ejpam-6144	160	26	the	the	DET
ejpam-6144	160	27	origin	origin	NOUN
ejpam-6144	160	28	,	,	PUNCT
ejpam-6144	160	29	i.e.	i.e.	X
ejpam-6144	160	30	e(zr	e(zr	NOUN
ejpam-6144	160	31	)	)	PUNCT
ejpam-6144	160	32	=	=	SYM
ejpam-6144	160	33	dr	dr	PROPN
ejpam-6144	160	34	dtr	dtr	PROPN
ejpam-6144	160	35	mz(t)|t=0	mz(t)|t=0	PROPN
ejpam-6144	160	36	.	.	PUNCT
ejpam-6144	161	1	moreover	moreover	ADV
ejpam-6144	161	2	,	,	PUNCT
ejpam-6144	161	3	utilizing	utilize	VERB
ejpam-6144	161	4	equation	equation	NOUN
ejpam-6144	161	5	(	(	PUNCT
ejpam-6144	161	6	11	11	NUM
ejpam-6144	161	7	)	)	PUNCT
ejpam-6144	161	8	or	or	CCONJ
ejpam-6144	161	9	(	(	PUNCT
ejpam-6144	161	10	14	14	NUM
ejpam-6144	161	11	)	)	PUNCT
ejpam-6144	161	12	,	,	PUNCT
ejpam-6144	161	13	the	the	DET
ejpam-6144	161	14	skewness	skewness	NOUN
ejpam-6144	161	15	,	,	PUNCT
ejpam-6144	161	16	say	say	VERB
ejpam-6144	161	17	sk(z	sk(z	NOUN
ejpam-6144	161	18	)	)	PUNCT
ejpam-6144	161	19	and	and	CCONJ
ejpam-6144	161	20	kurtosis	kurtosis	NOUN
ejpam-6144	161	21	,	,	PUNCT
ejpam-6144	161	22	say	say	VERB
ejpam-6144	161	23	ku(z	ku(z	PROPN
ejpam-6144	161	24	)	)	PUNCT
ejpam-6144	161	25	,	,	PUNCT
ejpam-6144	161	26	can	can	AUX
ejpam-6144	161	27	be	be	AUX
ejpam-6144	161	28	reported	report	VERB
ejpam-6144	161	29	as	as	ADP
ejpam-6144	161	30	sk(z	sk(z	NUM
ejpam-6144	161	31	)	)	PUNCT
ejpam-6144	161	32	=	=	PUNCT
ejpam-6144	162	1	(	(	PUNCT
ejpam-6144	162	2	µ′3	µ′3	VERB
ejpam-6144	162	3	−	−	PROPN
ejpam-6144	163	1	3µ′2µ	3µ′2µ	NOUN
ejpam-6144	164	1	′	′	NOUN
ejpam-6144	165	1	1	1	NUM
ejpam-6144	166	1	+	+	CCONJ
ejpam-6144	166	2	2µ′31	2µ′31	ADJ
ejpam-6144	166	3	)	)	PUNCT
ejpam-6144	166	4	/(var(z	/(var(z	NUM
ejpam-6144	166	5	)	)	PUNCT
ejpam-6144	166	6	)	)	PUNCT
ejpam-6144	167	1	3/2	3/2	NUM
ejpam-6144	167	2	,	,	PUNCT
ejpam-6144	167	3	ku(z	ku(z	NOUN
ejpam-6144	167	4	)	)	PUNCT
ejpam-6144	167	5	=	=	SYM
ejpam-6144	167	6	(	(	PUNCT
ejpam-6144	167	7	µ′4	µ′4	ADJ
ejpam-6144	167	8	−	−	PROPN
ejpam-6144	167	9	4µ′3µ	4µ′3µ	NUM
ejpam-6144	167	10	′	′	NUM
ejpam-6144	167	11	1	1	NUM
ejpam-6144	168	1	+	+	CCONJ
ejpam-6144	168	2	6µ′2µ	6µ′2µ	NUM
ejpam-6144	168	3	′2	′2	NOUN
ejpam-6144	168	4	1	1	NUM
ejpam-6144	168	5	−	−	NOUN
ejpam-6144	168	6	3µ′41	3µ′41	NOUN
ejpam-6144	168	7	)	)	PUNCT
ejpam-6144	168	8	/(var(z	/(var(z	NUM
ejpam-6144	168	9	)	)	PUNCT
ejpam-6144	168	10	)	)	PUNCT
ejpam-6144	169	1	2	2	NUM
ejpam-6144	169	2	,	,	PUNCT
ejpam-6144	169	3	respectively	respectively	ADV
ejpam-6144	169	4	.	.	PUNCT
ejpam-6144	170	1	in	in	ADP
ejpam-6144	170	2	probability	probability	NOUN
ejpam-6144	170	3	theory	theory	NOUN
ejpam-6144	170	4	,	,	PUNCT
ejpam-6144	170	5	cumulants	cumulant	NOUN
ejpam-6144	170	6	,	,	PUNCT
ejpam-6144	170	7	denoted	denote	VERB
ejpam-6144	170	8	as	as	ADP
ejpam-6144	170	9	kn	kn	PROPN
ejpam-6144	170	10	,	,	PUNCT
ejpam-6144	170	11	are	be	AUX
ejpam-6144	170	12	a	a	DET
ejpam-6144	170	13	set	set	NOUN
ejpam-6144	170	14	of	of	ADP
ejpam-6144	170	15	quantities	quantity	NOUN
ejpam-6144	170	16	that	that	PRON
ejpam-6144	170	17	offer	offer	VERB
ejpam-6144	170	18	an	an	DET
ejpam-6144	170	19	alternative	alternative	NOUN
ejpam-6144	170	20	to	to	ADP
ejpam-6144	170	21	the	the	DET
ejpam-6144	170	22	moments	moment	NOUN
ejpam-6144	170	23	of	of	ADP
ejpam-6144	170	24	a	a	DET
ejpam-6144	170	25	probability	probability	NOUN
ejpam-6144	170	26	model	model	NOUN
ejpam-6144	170	27	.	.	PUNCT
ejpam-6144	171	1	in	in	ADP
ejpam-6144	171	2	certain	certain	ADJ
ejpam-6144	171	3	cases	case	NOUN
ejpam-6144	171	4	,	,	PUNCT
ejpam-6144	171	5	working	work	VERB
ejpam-6144	171	6	with	with	ADP
ejpam-6144	171	7	cumulants	cumulant	NOUN
ejpam-6144	171	8	can	can	AUX
ejpam-6144	171	9	simplify	simplify	VERB
ejpam-6144	171	10	the	the	DET
ejpam-6144	171	11	theoretical	theoretical	ADJ
ejpam-6144	171	12	treatment	treatment	NOUN
ejpam-6144	171	13	of	of	ADP
ejpam-6144	171	14	problems	problem	NOUN
ejpam-6144	171	15	compared	compare	VERB
ejpam-6144	171	16	to	to	ADP
ejpam-6144	171	17	using	use	VERB
ejpam-6144	171	18	moments	moment	NOUN
ejpam-6144	171	19	.	.	PUNCT
ejpam-6144	172	1	the	the	DET
ejpam-6144	172	2	cumulant	cumulant	ADJ
ejpam-6144	172	3	generating	generating	NOUN
ejpam-6144	172	4	function	function	NOUN
ejpam-6144	172	5	(	(	PUNCT
ejpam-6144	172	6	cgf	cgf	PROPN
ejpam-6144	172	7	)	)	PUNCT
ejpam-6144	172	8	is	be	AUX
ejpam-6144	172	9	defined	define	VERB
ejpam-6144	172	10	as	as	ADP
ejpam-6144	172	11	the	the	DET
ejpam-6144	172	12	logarithm	logarithm	NOUN
ejpam-6144	172	13	of	of	ADP
ejpam-6144	172	14	the	the	DET
ejpam-6144	172	15	mgf	mgf	PROPN
ejpam-6144	172	16	.	.	PUNCT
ejpam-6144	173	1	therefore	therefore	ADV
ejpam-6144	173	2	,	,	PUNCT
ejpam-6144	173	3	the	the	DET
ejpam-6144	173	4	cumulants	cumulant	NOUN
ejpam-6144	173	5	kn	kn	PROPN
ejpam-6144	173	6	can	can	AUX
ejpam-6144	173	7	be	be	AUX
ejpam-6144	173	8	derived	derive	VERB
ejpam-6144	173	9	from	from	ADP
ejpam-6144	173	10	the	the	DET
ejpam-6144	173	11	moments	moment	NOUN
ejpam-6144	173	12	as	as	SCONJ
ejpam-6144	173	13	follows	follow	VERB
ejpam-6144	173	14	kn	kn	PROPN
ejpam-6144	173	15	=	=	PUNCT
ejpam-6144	173	16	dn	dn	PROPN
ejpam-6144	173	17	dtn	dtn	PROPN
ejpam-6144	173	18	logmz(t)|t=0	logmz(t)|t=0	PROPN
ejpam-6144	173	19	;	;	PUNCT
ejpam-6144	173	20	n	n	NOUN
ejpam-6144	173	21	=	=	SYM
ejpam-6144	173	22	1	1	NUM
ejpam-6144	173	23	,	,	PUNCT
ejpam-6144	173	24	2	2	NUM
ejpam-6144	173	25	,	,	PUNCT
ejpam-6144	173	26	3	3	NUM
ejpam-6144	173	27	,	,	PUNCT
ejpam-6144	173	28	....	....	PUNCT
ejpam-6144	174	1	(	(	PUNCT
ejpam-6144	174	2	15	15	NUM
ejpam-6144	174	3	)	)	PUNCT
ejpam-6144	174	4	additionally	additionally	ADV
ejpam-6144	174	5	,	,	PUNCT
ejpam-6144	174	6	the	the	DET
ejpam-6144	174	7	cumulants	cumulant	NOUN
ejpam-6144	174	8	are	be	AUX
ejpam-6144	174	9	related	relate	VERB
ejpam-6144	174	10	to	to	ADP
ejpam-6144	174	11	the	the	DET
ejpam-6144	174	12	moments	moment	NOUN
ejpam-6144	174	13	through	through	ADP
ejpam-6144	174	14	the	the	DET
ejpam-6144	174	15	following	follow	VERB
ejpam-6144	174	16	recursive	recursive	ADJ
ejpam-6144	174	17	formula	formula	NOUN
ejpam-6144	175	1	kn	kn	NOUN
ejpam-6144	175	2	=	=	PUNCT
ejpam-6144	175	3	µ′n	µ′n	PROPN
ejpam-6144	175	4	−	−	PROPN
ejpam-6144	175	5	n−1∑	n−1∑	PROPN
ejpam-6144	175	6	m=1	m=1	PROPN
ejpam-6144	175	7	(	(	PUNCT
ejpam-6144	175	8	n−	n−	NOUN
ejpam-6144	175	9	1	1	NUM
ejpam-6144	175	10	m−	m−	PROPN
ejpam-6144	175	11	1	1	NUM
ejpam-6144	175	12	)	)	PUNCT
ejpam-6144	175	13	µ′n−mkm	µ′n−mkm	PROPN
ejpam-6144	175	14	.	.	PUNCT
ejpam-6144	176	1	(	(	PUNCT
ejpam-6144	176	2	16	16	NUM
ejpam-6144	176	3	)	)	PUNCT
ejpam-6144	176	4	the	the	DET
ejpam-6144	176	5	first	first	ADJ
ejpam-6144	176	6	cumulant	cumulant	NOUN
ejpam-6144	176	7	corresponds	correspond	VERB
ejpam-6144	176	8	to	to	ADP
ejpam-6144	176	9	the	the	DET
ejpam-6144	176	10	mean	mean	NOUN
ejpam-6144	176	11	,	,	PUNCT
ejpam-6144	176	12	the	the	DET
ejpam-6144	176	13	second	second	ADJ
ejpam-6144	176	14	cumulant	cumulant	NOUN
ejpam-6144	176	15	represents	represent	VERB
ejpam-6144	176	16	the	the	DET
ejpam-6144	176	17	variance	variance	NOUN
ejpam-6144	176	18	,	,	PUNCT
ejpam-6144	176	19	and	and	CCONJ
ejpam-6144	176	20	the	the	DET
ejpam-6144	176	21	third	third	ADJ
ejpam-6144	176	22	cumulant	cumulant	NOUN
ejpam-6144	176	23	is	be	AUX
ejpam-6144	176	24	related	relate	VERB
ejpam-6144	176	25	to	to	ADP
ejpam-6144	176	26	the	the	DET
ejpam-6144	176	27	third	third	ADJ
ejpam-6144	176	28	central	central	ADJ
ejpam-6144	176	29	moment	moment	NOUN
ejpam-6144	176	30	.	.	PUNCT
ejpam-6144	177	1	however	however	ADV
ejpam-6144	177	2	,	,	PUNCT
ejpam-6144	177	3	starting	start	VERB
ejpam-6144	177	4	from	from	ADP
ejpam-6144	177	5	the	the	DET
ejpam-6144	177	6	fourth	fourth	ADJ
ejpam-6144	177	7	cumulant	cumulant	NOUN
ejpam-6144	177	8	,	,	PUNCT
ejpam-6144	177	9	the	the	DET
ejpam-6144	177	10	direct	direct	ADJ
ejpam-6144	177	11	relationship	relationship	NOUN
ejpam-6144	177	12	with	with	ADP
ejpam-6144	177	13	central	central	ADJ
ejpam-6144	177	14	moments	moment	NOUN
ejpam-6144	177	15	no	no	ADV
ejpam-6144	177	16	longer	long	ADV
ejpam-6144	177	17	holds	hold	VERB
ejpam-6144	177	18	,	,	PUNCT
ejpam-6144	177	19	and	and	CCONJ
ejpam-6144	177	20	higher	high	ADJ
ejpam-6144	177	21	-	-	PUNCT
ejpam-6144	177	22	order	order	NOUN
ejpam-6144	177	23	cumulants	cumulant	NOUN
ejpam-6144	177	24	no	no	ADV
ejpam-6144	177	25	longer	long	ADV
ejpam-6144	177	26	directly	directly	ADV
ejpam-6144	177	27	correspond	correspond	VERB
ejpam-6144	177	28	to	to	ADP
ejpam-6144	177	29	the	the	DET
ejpam-6144	177	30	central	central	ADJ
ejpam-6144	177	31	moments	moment	NOUN
ejpam-6144	177	32	.	.	PUNCT
ejpam-6144	178	1	for	for	ADP
ejpam-6144	178	2	the	the	DET
ejpam-6144	178	3	dgzhlo	dgzhlo	PROPN
ejpam-6144	178	4	distribution	distribution	NOUN
ejpam-6144	178	5	,	,	PUNCT
ejpam-6144	178	6	the	the	DET
ejpam-6144	178	7	rth	rth	NOUN
ejpam-6144	178	8	moment	moment	NOUN
ejpam-6144	178	9	can	can	AUX
ejpam-6144	178	10	not	not	PART
ejpam-6144	178	11	be	be	AUX
ejpam-6144	178	12	expressed	express	VERB
ejpam-6144	178	13	in	in	ADP
ejpam-6144	178	14	a	a	DET
ejpam-6144	178	15	closed	closed	ADJ
ejpam-6144	178	16	form	form	NOUN
ejpam-6144	178	17	.	.	PUNCT
ejpam-6144	179	1	therefore	therefore	ADV
ejpam-6144	179	2	,	,	PUNCT
ejpam-6144	179	3	we	we	PRON
ejpam-6144	179	4	utilize	utilize	VERB
ejpam-6144	179	5	maple	maple	NOUN
ejpam-6144	179	6	software	software	NOUN
ejpam-6144	179	7	to	to	PART
ejpam-6144	179	8	investigate	investigate	VERB
ejpam-6144	179	9	and	and	CCONJ
ejpam-6144	179	10	compute	compute	VERB
ejpam-6144	179	11	some	some	PRON
ejpam-6144	179	12	of	of	ADP
ejpam-6144	179	13	its	its	PRON
ejpam-6144	179	14	statistical	statistical	ADJ
ejpam-6144	179	15	properties	property	NOUN
ejpam-6144	179	16	.	.	PUNCT
ejpam-6144	180	1	table	table	NOUN
ejpam-6144	180	2	1	1	NUM
ejpam-6144	180	3	presents	present	VERB
ejpam-6144	180	4	descriptive	descriptive	ADJ
ejpam-6144	180	5	statistics	statistic	NOUN
ejpam-6144	180	6	derived	derive	VERB
ejpam-6144	180	7	from	from	ADP
ejpam-6144	180	8	the	the	DET
ejpam-6144	180	9	dgzhlo	dgzhlo	PROPN
ejpam-6144	180	10	model	model	NOUN
ejpam-6144	180	11	for	for	ADP
ejpam-6144	180	12	different	different	ADJ
ejpam-6144	180	13	parameter	parameter	NOUN
ejpam-6144	180	14	values	value	NOUN
ejpam-6144	180	15	of	of	ADP
ejpam-6144	180	16	θ	θ	PROPN
ejpam-6144	180	17	and	and	CCONJ
ejpam-6144	180	18	γ	γ	X
ejpam-6144	180	19	with	with	ADP
ejpam-6144	180	20	τ	τ	PROPN
ejpam-6144	180	21	=	=	SYM
ejpam-6144	180	22	0.5	0.5	NUM
ejpam-6144	180	23	,	,	PUNCT
ejpam-6144	180	24	highlighting	highlight	VERB
ejpam-6144	180	25	that	that	SCONJ
ejpam-6144	180	26	the	the	DET
ejpam-6144	180	27	dgzhlo	dgzhlo	PROPN
ejpam-6144	180	28	model	model	NOUN
ejpam-6144	180	29	provides	provide	VERB
ejpam-6144	180	30	a	a	DET
ejpam-6144	180	31	strong	strong	ADJ
ejpam-6144	180	32	framework	framework	NOUN
ejpam-6144	180	33	for	for	ADP
ejpam-6144	180	34	modeling	model	VERB
ejpam-6144	180	35	sustainability	sustainability	NOUN
ejpam-6144	180	36	data	datum	NOUN
ejpam-6144	180	37	with	with	ADP
ejpam-6144	180	38	varying	vary	VERB
ejpam-6144	180	39	kurtosis	kurtosis	NOUN
ejpam-6144	180	40	,	,	PUNCT
ejpam-6144	180	41	skewness	skewness	NOUN
ejpam-6144	180	42	,	,	PUNCT
ejpam-6144	180	43	and	and	CCONJ
ejpam-6144	180	44	m.	m.	PROPN
ejpam-6144	180	45	s.	s.	PROPN
ejpam-6144	180	46	eliwa	eliwa	PROPN
ejpam-6144	180	47	,	,	PUNCT
ejpam-6144	180	48	w.	w.	PROPN
ejpam-6144	180	49	e.	e.	PROPN
ejpam-6144	180	50	alghanem	alghanem	PROPN
ejpam-6144	180	51	,	,	PUNCT
ejpam-6144	180	52	m.	m.	NOUN
ejpam-6144	180	53	a.	a.	NOUN
ejpam-6144	180	54	alenizi	alenizi	PROPN
ejpam-6144	180	55	/	/	SYM
ejpam-6144	180	56	eur	eur	PROPN
ejpam-6144	180	57	.	.	PUNCT
ejpam-6144	181	1	j.	j.	PROPN
ejpam-6144	181	2	pure	pure	PROPN
ejpam-6144	181	3	appl	appl	PROPN
ejpam-6144	181	4	.	.	PROPN
ejpam-6144	181	5	math	math	PROPN
ejpam-6144	181	6	,	,	PUNCT
ejpam-6144	181	7	18	18	NUM
ejpam-6144	181	8	(	(	PUNCT
ejpam-6144	181	9	2	2	NUM
ejpam-6144	181	10	)	)	PUNCT
ejpam-6144	181	11	(	(	PUNCT
ejpam-6144	181	12	2025	2025	NUM
ejpam-6144	181	13	)	)	PUNCT
ejpam-6144	181	14	,	,	PUNCT
ejpam-6144	181	15	6144	6144	NUM
ejpam-6144	181	16	8	8	NUM
ejpam-6144	181	17	of	of	ADP
ejpam-6144	181	18	26	26	NUM
ejpam-6144	181	19	dispersion	dispersion	NOUN
ejpam-6144	181	20	characteristics	characteristic	NOUN
ejpam-6144	181	21	.	.	PUNCT
ejpam-6144	182	1	this	this	PRON
ejpam-6144	182	2	makes	make	VERB
ejpam-6144	182	3	it	it	PRON
ejpam-6144	182	4	an	an	DET
ejpam-6144	182	5	invaluable	invaluable	ADJ
ejpam-6144	182	6	tool	tool	NOUN
ejpam-6144	182	7	across	across	ADP
ejpam-6144	182	8	a	a	DET
ejpam-6144	182	9	wide	wide	ADJ
ejpam-6144	182	10	range	range	NOUN
ejpam-6144	182	11	of	of	ADP
ejpam-6144	182	12	fields	field	NOUN
ejpam-6144	182	13	,	,	PUNCT
ejpam-6144	182	14	from	from	ADP
ejpam-6144	182	15	engineering	engineer	VERB
ejpam-6144	182	16	to	to	ADP
ejpam-6144	182	17	social	social	ADJ
ejpam-6144	182	18	sciences	science	NOUN
ejpam-6144	182	19	,	,	PUNCT
ejpam-6144	182	20	where	where	SCONJ
ejpam-6144	182	21	sustainability	sustainability	NOUN
ejpam-6144	182	22	is	be	AUX
ejpam-6144	182	23	a	a	DET
ejpam-6144	182	24	key	key	ADJ
ejpam-6144	182	25	focus	focus	NOUN
ejpam-6144	182	26	.	.	PUNCT
ejpam-6144	183	1	table	table	NOUN
ejpam-6144	183	2	1	1	NUM
ejpam-6144	183	3	.	.	PUNCT
ejpam-6144	184	1	some	some	DET
ejpam-6144	184	2	descriptive	descriptive	ADJ
ejpam-6144	184	3	statistics	statistic	NOUN
ejpam-6144	184	4	using	use	VERB
ejpam-6144	184	5	the	the	DET
ejpam-6144	184	6	dgzhlo	dgzhlo	PROPN
ejpam-6144	184	7	model	model	NOUN
ejpam-6144	184	8	.	.	PUNCT
ejpam-6144	185	1	measure	measure	NOUN
ejpam-6144	185	2	θ	θ	PROPN
ejpam-6144	185	3	↓	↓	NOUN
ejpam-6144	185	4	γ	γ	X
ejpam-6144	185	5	→	→	SYM
ejpam-6144	185	6	0.1	0.1	NUM
ejpam-6144	185	7	0.3	0.3	NUM
ejpam-6144	185	8	0.5	0.5	NUM
ejpam-6144	185	9	0.7	0.7	NUM
ejpam-6144	185	10	0.9	0.9	NUM
ejpam-6144	185	11	0.5	0.5	NUM
ejpam-6144	185	12	0.7444	0.7444	NUM
ejpam-6144	185	13	1.4266	1.4266	NUM
ejpam-6144	185	14	2.2267	2.2267	NUM
ejpam-6144	185	15	3.4741	3.4741	NUM
ejpam-6144	185	16	6.5495	6.5495	NUM
ejpam-6144	185	17	mean	mean	NOUN
ejpam-6144	185	18	1.5	1.5	NUM
ejpam-6144	185	19	0.0488	0.0488	NUM
ejpam-6144	185	20	0.2107	0.2107	NUM
ejpam-6144	185	21	0.4477	0.4477	NUM
ejpam-6144	185	22	0.8444	0.8444	NUM
ejpam-6144	185	23	1.8556	1.8556	NUM
ejpam-6144	185	24	2.0	2.0	NUM
ejpam-6144	185	25	0.0080	0.0080	NUM
ejpam-6144	185	26	0.0801	0.0801	NUM
ejpam-6144	185	27	0.2365	0.2365	NUM
ejpam-6144	185	28	0.5210	0.5210	NUM
ejpam-6144	185	29	1.2703	1.2703	NUM
ejpam-6144	185	30	0.5	0.5	NUM
ejpam-6144	185	31	0.8149	0.8149	NUM
ejpam-6144	185	32	1.7661	1.7661	NUM
ejpam-6144	185	33	3.0468	3.0468	NUM
ejpam-6144	185	34	5.2333	5.2333	NUM
ejpam-6144	185	35	10.719	10.719	NUM
ejpam-6144	185	36	var	var	NOUN
ejpam-6144	185	37	1.5	1.5	NUM
ejpam-6144	185	38	0.0465	0.0465	NUM
ejpam-6144	186	1	0.1752	0.1752	NUM
ejpam-6144	186	2	0.3374	0.3374	NUM
ejpam-6144	186	3	0.6008	0.6008	NUM
ejpam-6144	186	4	1.2373	1.2373	NUM
ejpam-6144	186	5	2.0	2.0	NUM
ejpam-6144	186	6	0.0079	0.0079	NUM
ejpam-6144	186	7	0.0738	0.0738	NUM
ejpam-6144	186	8	0.1859	0.1859	NUM
ejpam-6144	186	9	0.3448	0.3448	NUM
ejpam-6144	186	10	0.7183	0.7183	NUM
ejpam-6144	186	11	0.5	0.5	NUM
ejpam-6144	186	12	1.0946	1.0946	NUM
ejpam-6144	186	13	1.2379	1.2379	NUM
ejpam-6144	186	14	1.3682	1.3682	NUM
ejpam-6144	186	15	1.5063	1.5063	NUM
ejpam-6144	186	16	1.6366	1.6366	NUM
ejpam-6144	186	17	dsi	dsi	PROPN
ejpam-6144	186	18	1.5	1.5	NUM
ejpam-6144	186	19	0.9524	0.9524	NUM
ejpam-6144	186	20	0.8316	0.8316	NUM
ejpam-6144	186	21	0.7536	0.7536	NUM
ejpam-6144	186	22	0.7114	0.7114	NUM
ejpam-6144	186	23	0.6667	0.6667	NUM
ejpam-6144	186	24	2.0	2.0	NUM
ejpam-6144	186	25	0.9919	0.9919	NUM
ejpam-6144	186	26	0.9206	0.9206	NUM
ejpam-6144	186	27	0.7860	0.7860	NUM
ejpam-6144	186	28	0.6617	0.6617	NUM
ejpam-6144	186	29	0.5655	0.5655	NUM
ejpam-6144	186	30	0.5	0.5	NUM
ejpam-6144	186	31	1.1576	1.1576	NUM
ejpam-6144	186	32	0.8163	0.8163	NUM
ejpam-6144	186	33	0.5891	0.5891	NUM
ejpam-6144	186	34	0.3497	0.3497	NUM
ejpam-6144	186	35	−0.0376	−0.0376	NOUN
ejpam-6144	186	36	sk	sk	VERB
ejpam-6144	186	37	1.5	1.5	NUM
ejpam-6144	186	38	4.1937	4.1937	NUM
ejpam-6144	186	39	1.5999	1.5999	NUM
ejpam-6144	186	40	0.9045	0.9045	NUM
ejpam-6144	186	41	0.4929	0.4929	NUM
ejpam-6144	186	42	0.0216	0.0216	NUM
ejpam-6144	186	43	2.0	2.0	NUM
ejpam-6144	186	44	11.0353	11.0353	NUM
ejpam-6144	186	45	3.0963	3.0963	NUM
ejpam-6144	186	46	1.3395	1.3395	NUM
ejpam-6144	186	47	0.6264	0.6264	NUM
ejpam-6144	186	48	0.0731	0.0731	NUM
ejpam-6144	186	49	0.5	0.5	NUM
ejpam-6144	186	50	3.9593	3.9593	NUM
ejpam-6144	186	51	3.1603	3.1603	NUM
ejpam-6144	186	52	2.7533	2.7533	NUM
ejpam-6144	186	53	2.4635	2.4635	NUM
ejpam-6144	186	54	2.3412	2.3412	NUM
ejpam-6144	186	55	ku	ku	PROPN
ejpam-6144	186	56	1.5	1.5	NUM
ejpam-6144	186	57	18.646	18.646	NUM
ejpam-6144	186	58	4.0924	4.0924	NUM
ejpam-6144	186	59	2.8785	2.8785	NUM
ejpam-6144	186	60	2.4486	2.4486	NUM
ejpam-6144	186	61	2.3122	2.3122	NUM
ejpam-6144	186	62	2.0	2.0	NUM
ejpam-6144	186	63	122.778	122.778	NUM
ejpam-6144	186	64	10.6124	10.6124	NUM
ejpam-6144	186	65	3.0893	3.0893	NUM
ejpam-6144	186	66	2.4472	2.4472	NUM
ejpam-6144	186	67	2.2957	2.2957	NUM
ejpam-6144	186	68	the	the	DET
ejpam-6144	186	69	dgzhlo	dgzhlo	PROPN
ejpam-6144	186	70	model	model	NOUN
ejpam-6144	186	71	proves	prove	VERB
ejpam-6144	186	72	to	to	PART
ejpam-6144	186	73	be	be	AUX
ejpam-6144	186	74	highly	highly	ADV
ejpam-6144	186	75	versatile	versatile	ADJ
ejpam-6144	186	76	in	in	ADP
ejpam-6144	186	77	analyzing	analyze	VERB
ejpam-6144	186	78	a	a	DET
ejpam-6144	186	79	wide	wide	ADJ
ejpam-6144	186	80	range	range	NOUN
ejpam-6144	186	81	of	of	ADP
ejpam-6144	186	82	data	datum	NOUN
ejpam-6144	186	83	types	type	NOUN
ejpam-6144	186	84	,	,	PUNCT
ejpam-6144	186	85	including	include	VERB
ejpam-6144	186	86	both	both	CCONJ
ejpam-6144	186	87	negatively	negatively	ADV
ejpam-6144	186	88	and	and	CCONJ
ejpam-6144	186	89	positively	positively	ADV
ejpam-6144	186	90	skewed	skewed	ADJ
ejpam-6144	186	91	data	datum	NOUN
ejpam-6144	186	92	,	,	PUNCT
ejpam-6144	186	93	and	and	CCONJ
ejpam-6144	186	94	symmetric	symmetric	ADJ
ejpam-6144	186	95	data	datum	NOUN
ejpam-6144	186	96	with	with	ADP
ejpam-6144	186	97	varying	vary	VERB
ejpam-6144	186	98	levels	level	NOUN
ejpam-6144	186	99	of	of	ADP
ejpam-6144	186	100	kurtosis	kurtosis	NOUN
ejpam-6144	186	101	.	.	PUNCT
ejpam-6144	187	1	as	as	SCONJ
ejpam-6144	187	2	seen	see	VERB
ejpam-6144	187	3	in	in	ADP
ejpam-6144	187	4	table	table	NOUN
ejpam-6144	187	5	1	1	NUM
ejpam-6144	187	6	,	,	PUNCT
ejpam-6144	187	7	this	this	DET
ejpam-6144	187	8	model	model	NOUN
ejpam-6144	187	9	can	can	AUX
ejpam-6144	187	10	be	be	AUX
ejpam-6144	187	11	adapted	adapt	VERB
ejpam-6144	187	12	to	to	PART
ejpam-6144	187	13	handle	handle	VERB
ejpam-6144	187	14	data	data	NOUN
ejpam-6144	187	15	distributions	distribution	NOUN
ejpam-6144	187	16	with	with	ADP
ejpam-6144	187	17	leptokurtic	leptokurtic	ADJ
ejpam-6144	187	18	(	(	PUNCT
ejpam-6144	187	19	high	high	ADJ
ejpam-6144	187	20	kurtosis	kurtosis	NOUN
ejpam-6144	187	21	)	)	PUNCT
ejpam-6144	187	22	and	and	CCONJ
ejpam-6144	187	23	platykurtic	platykurtic	ADJ
ejpam-6144	187	24	(	(	PUNCT
ejpam-6144	187	25	low	low	ADJ
ejpam-6144	187	26	kurtosis	kurtosis	NOUN
ejpam-6144	187	27	)	)	PUNCT
ejpam-6144	187	28	characteristics	characteristic	NOUN
ejpam-6144	187	29	,	,	PUNCT
ejpam-6144	187	30	making	make	VERB
ejpam-6144	187	31	it	it	PRON
ejpam-6144	187	32	an	an	DET
ejpam-6144	187	33	excellent	excellent	ADJ
ejpam-6144	187	34	tool	tool	NOUN
ejpam-6144	187	35	for	for	ADP
ejpam-6144	187	36	capturing	capture	VERB
ejpam-6144	187	37	the	the	DET
ejpam-6144	187	38	nuances	nuance	NOUN
ejpam-6144	187	39	of	of	ADP
ejpam-6144	187	40	real	real	ADJ
ejpam-6144	187	41	-	-	PUNCT
ejpam-6144	187	42	world	world	NOUN
ejpam-6144	187	43	data	datum	NOUN
ejpam-6144	187	44	.	.	PUNCT
ejpam-6144	188	1	one	one	NUM
ejpam-6144	188	2	of	of	ADP
ejpam-6144	188	3	the	the	DET
ejpam-6144	188	4	major	major	ADJ
ejpam-6144	188	5	advantages	advantage	NOUN
ejpam-6144	188	6	of	of	ADP
ejpam-6144	188	7	the	the	DET
ejpam-6144	188	8	dgzhlo	dgzhlo	PROPN
ejpam-6144	188	9	model	model	NOUN
ejpam-6144	188	10	lies	lie	VERB
ejpam-6144	188	11	in	in	ADP
ejpam-6144	188	12	its	its	PRON
ejpam-6144	188	13	ability	ability	NOUN
ejpam-6144	188	14	to	to	PART
ejpam-6144	188	15	handle	handle	VERB
ejpam-6144	188	16	overdispersed	overdisperse	VERB
ejpam-6144	188	17	and	and	CCONJ
ejpam-6144	188	18	underdispersed	underdispersed	ADJ
ejpam-6144	188	19	data	datum	NOUN
ejpam-6144	188	20	,	,	PUNCT
ejpam-6144	188	21	which	which	PRON
ejpam-6144	188	22	are	be	AUX
ejpam-6144	188	23	common	common	ADJ
ejpam-6144	188	24	in	in	ADP
ejpam-6144	188	25	many	many	ADJ
ejpam-6144	188	26	fields	field	NOUN
ejpam-6144	188	27	,	,	PUNCT
ejpam-6144	188	28	including	include	VERB
ejpam-6144	188	29	economics	economic	NOUN
ejpam-6144	188	30	,	,	PUNCT
ejpam-6144	188	31	engineering	engineering	NOUN
ejpam-6144	188	32	,	,	PUNCT
ejpam-6144	188	33	and	and	CCONJ
ejpam-6144	188	34	epidemiology	epidemiology	NOUN
ejpam-6144	188	35	.	.	PUNCT
ejpam-6144	189	1	overdispersion	overdispersion	NOUN
ejpam-6144	189	2	occurs	occur	VERB
ejpam-6144	189	3	when	when	SCONJ
ejpam-6144	189	4	the	the	DET
ejpam-6144	189	5	variance	variance	NOUN
ejpam-6144	189	6	exceeds	exceed	VERB
ejpam-6144	189	7	the	the	DET
ejpam-6144	189	8	mean	mean	NOUN
ejpam-6144	189	9	,	,	PUNCT
ejpam-6144	189	10	while	while	SCONJ
ejpam-6144	189	11	underdispersion	underdispersion	NOUN
ejpam-6144	189	12	is	be	AUX
ejpam-6144	189	13	observed	observe	VERB
ejpam-6144	189	14	when	when	SCONJ
ejpam-6144	189	15	the	the	DET
ejpam-6144	189	16	variance	variance	NOUN
ejpam-6144	189	17	is	be	AUX
ejpam-6144	189	18	smaller	small	ADJ
ejpam-6144	189	19	than	than	ADP
ejpam-6144	189	20	the	the	DET
ejpam-6144	189	21	mean	mean	NOUN
ejpam-6144	189	22	.	.	PUNCT
ejpam-6144	190	1	the	the	DET
ejpam-6144	190	2	dgzhlo	dgzhlo	PROPN
ejpam-6144	190	3	model	model	PROPN
ejpam-6144	190	4	’s	’s	PART
ejpam-6144	190	5	flexibility	flexibility	NOUN
ejpam-6144	190	6	in	in	ADP
ejpam-6144	190	7	capturing	capture	VERB
ejpam-6144	190	8	these	these	DET
ejpam-6144	190	9	features	feature	NOUN
ejpam-6144	190	10	makes	make	VERB
ejpam-6144	190	11	it	it	PRON
ejpam-6144	190	12	particularly	particularly	ADV
ejpam-6144	190	13	useful	useful	ADJ
ejpam-6144	190	14	for	for	ADP
ejpam-6144	190	15	data	data	NOUN
ejpam-6144	190	16	sets	set	NOUN
ejpam-6144	190	17	where	where	SCONJ
ejpam-6144	190	18	traditional	traditional	ADJ
ejpam-6144	190	19	models	model	NOUN
ejpam-6144	190	20	,	,	PUNCT
ejpam-6144	190	21	like	like	ADP
ejpam-6144	190	22	the	the	DET
ejpam-6144	190	23	poisson	poisson	NOUN
ejpam-6144	190	24	or	or	CCONJ
ejpam-6144	190	25	negative	negative	ADJ
ejpam-6144	190	26	binomial	binomial	ADJ
ejpam-6144	190	27	distributions	distribution	NOUN
ejpam-6144	190	28	,	,	PUNCT
ejpam-6144	190	29	may	may	AUX
ejpam-6144	190	30	fall	fall	VERB
ejpam-6144	190	31	short	short	ADJ
ejpam-6144	190	32	.	.	PUNCT
ejpam-6144	191	1	furthermore	furthermore	ADV
ejpam-6144	191	2	,	,	PUNCT
ejpam-6144	191	3	the	the	DET
ejpam-6144	191	4	dgzhlo	dgzhlo	PROPN
ejpam-6144	191	5	model	model	NOUN
ejpam-6144	191	6	can	can	AUX
ejpam-6144	191	7	also	also	ADV
ejpam-6144	191	8	accommodate	accommodate	VERB
ejpam-6144	191	9	equidispersed	equidispersed	ADJ
ejpam-6144	191	10	data	datum	NOUN
ejpam-6144	191	11	,	,	PUNCT
ejpam-6144	191	12	where	where	SCONJ
ejpam-6144	191	13	the	the	DET
ejpam-6144	191	14	variance	variance	NOUN
ejpam-6144	191	15	is	be	AUX
ejpam-6144	191	16	approximately	approximately	ADV
ejpam-6144	191	17	equal	equal	ADJ
ejpam-6144	191	18	to	to	ADP
ejpam-6144	191	19	the	the	DET
ejpam-6144	191	20	mean	mean	NOUN
ejpam-6144	191	21	.	.	PUNCT
ejpam-6144	192	1	this	this	PRON
ejpam-6144	192	2	is	be	AUX
ejpam-6144	192	3	crucial	crucial	ADJ
ejpam-6144	192	4	for	for	ADP
ejpam-6144	192	5	applications	application	NOUN
ejpam-6144	192	6	in	in	ADP
ejpam-6144	192	7	various	various	ADJ
ejpam-6144	192	8	scientific	scientific	ADJ
ejpam-6144	192	9	and	and	CCONJ
ejpam-6144	192	10	engineering	engineering	NOUN
ejpam-6144	192	11	domains	domain	NOUN
ejpam-6144	192	12	where	where	SCONJ
ejpam-6144	192	13	data	datum	NOUN
ejpam-6144	192	14	often	often	ADV
ejpam-6144	192	15	follow	follow	VERB
ejpam-6144	192	16	such	such	ADJ
ejpam-6144	192	17	distributions	distribution	NOUN
ejpam-6144	192	18	,	,	PUNCT
ejpam-6144	192	19	and	and	CCONJ
ejpam-6144	192	20	accurate	accurate	ADJ
ejpam-6144	192	21	modeling	modeling	NOUN
ejpam-6144	192	22	of	of	ADP
ejpam-6144	192	23	these	these	DET
ejpam-6144	192	24	types	type	NOUN
ejpam-6144	192	25	can	can	AUX
ejpam-6144	192	26	lead	lead	VERB
ejpam-6144	192	27	to	to	ADP
ejpam-6144	192	28	better	well	ADJ
ejpam-6144	192	29	decision	decision	NOUN
ejpam-6144	192	30	-	-	PUNCT
ejpam-6144	192	31	making	making	NOUN
ejpam-6144	192	32	and	and	CCONJ
ejpam-6144	192	33	more	more	ADV
ejpam-6144	192	34	robust	robust	ADJ
ejpam-6144	192	35	predictions	prediction	NOUN
ejpam-6144	192	36	.	.	PUNCT
ejpam-6144	193	1	in	in	ADP
ejpam-6144	193	2	the	the	DET
ejpam-6144	193	3	context	context	NOUN
ejpam-6144	193	4	of	of	ADP
ejpam-6144	193	5	sustainable	sustainable	ADJ
ejpam-6144	193	6	development	development	NOUN
ejpam-6144	193	7	and	and	CCONJ
ejpam-6144	193	8	engineering	engineering	NOUN
ejpam-6144	193	9	sustainability	sustainability	NOUN
ejpam-6144	193	10	data	datum	NOUN
ejpam-6144	193	11	modeling	modeling	NOUN
ejpam-6144	193	12	,	,	PUNCT
ejpam-6144	193	13	the	the	DET
ejpam-6144	193	14	dgzhlo	dgzhlo	PROPN
ejpam-6144	193	15	model	model	NOUN
ejpam-6144	193	16	offers	offer	VERB
ejpam-6144	193	17	a	a	DET
ejpam-6144	193	18	significant	significant	ADJ
ejpam-6144	193	19	advantage	advantage	NOUN
ejpam-6144	193	20	.	.	PUNCT
ejpam-6144	194	1	sustainable	sustainable	ADJ
ejpam-6144	194	2	data	datum	NOUN
ejpam-6144	194	3	often	often	ADV
ejpam-6144	194	4	exhibit	exhibit	VERB
ejpam-6144	194	5	complex	complex	ADJ
ejpam-6144	194	6	patterns	pattern	NOUN
ejpam-6144	194	7	,	,	PUNCT
ejpam-6144	194	8	with	with	ADP
ejpam-6144	194	9	varying	vary	VERB
ejpam-6144	194	10	dispersion	dispersion	NOUN
ejpam-6144	194	11	,	,	PUNCT
ejpam-6144	194	12	skewness	skewness	NOUN
ejpam-6144	194	13	,	,	PUNCT
ejpam-6144	194	14	and	and	CCONJ
ejpam-6144	194	15	kurtosis	kurtosis	NOUN
ejpam-6144	194	16	,	,	PUNCT
ejpam-6144	194	17	especially	especially	ADV
ejpam-6144	194	18	in	in	ADP
ejpam-6144	194	19	long	long	ADJ
ejpam-6144	194	20	-	-	PUNCT
ejpam-6144	194	21	term	term	NOUN
ejpam-6144	194	22	sustainability	sustainability	NOUN
ejpam-6144	194	23	studies	study	NOUN
ejpam-6144	194	24	where	where	SCONJ
ejpam-6144	194	25	factors	factor	NOUN
ejpam-6144	194	26	influencing	influence	VERB
ejpam-6144	194	27	the	the	DET
ejpam-6144	194	28	data	datum	NOUN
ejpam-6144	194	29	may	may	AUX
ejpam-6144	194	30	change	change	VERB
ejpam-6144	194	31	over	over	ADP
ejpam-6144	194	32	time	time	NOUN
ejpam-6144	194	33	.	.	PUNCT
ejpam-6144	195	1	the	the	DET
ejpam-6144	195	2	model	model	NOUN
ejpam-6144	195	3	’s	’s	PART
ejpam-6144	195	4	capacity	capacity	NOUN
ejpam-6144	195	5	to	to	PART
ejpam-6144	195	6	handle	handle	VERB
ejpam-6144	195	7	different	different	ADJ
ejpam-6144	195	8	dispersion	dispersion	NOUN
ejpam-6144	195	9	levels	level	NOUN
ejpam-6144	195	10	and	and	CCONJ
ejpam-6144	195	11	its	its	PRON
ejpam-6144	195	12	application	application	NOUN
ejpam-6144	195	13	to	to	ADP
ejpam-6144	195	14	a	a	DET
ejpam-6144	195	15	wide	wide	ADJ
ejpam-6144	195	16	range	range	NOUN
ejpam-6144	195	17	of	of	ADP
ejpam-6144	195	18	data	datum	NOUN
ejpam-6144	195	19	types	type	NOUN
ejpam-6144	195	20	ensures	ensure	VERB
ejpam-6144	195	21	that	that	SCONJ
ejpam-6144	195	22	it	it	PRON
ejpam-6144	195	23	can	can	AUX
ejpam-6144	195	24	provide	provide	VERB
ejpam-6144	195	25	insights	insight	NOUN
ejpam-6144	195	26	into	into	ADP
ejpam-6144	195	27	the	the	DET
ejpam-6144	195	28	sustainability	sustainability	NOUN
ejpam-6144	195	29	of	of	ADP
ejpam-6144	195	30	processes	process	NOUN
ejpam-6144	195	31	,	,	PUNCT
ejpam-6144	195	32	resources	resource	NOUN
ejpam-6144	195	33	,	,	PUNCT
ejpam-6144	195	34	m.	m.	NOUN
ejpam-6144	195	35	s.	s.	PROPN
ejpam-6144	195	36	eliwa	eliwa	PROPN
ejpam-6144	195	37	,	,	PUNCT
ejpam-6144	195	38	w.	w.	PROPN
ejpam-6144	195	39	e.	e.	PROPN
ejpam-6144	195	40	alghanem	alghanem	PROPN
ejpam-6144	195	41	,	,	PUNCT
ejpam-6144	195	42	m.	m.	NOUN
ejpam-6144	195	43	a.	a.	NOUN
ejpam-6144	195	44	alenizi	alenizi	PROPN
ejpam-6144	195	45	/	/	SYM
ejpam-6144	195	46	eur	eur	PROPN
ejpam-6144	195	47	.	.	PUNCT
ejpam-6144	196	1	j.	j.	PROPN
ejpam-6144	196	2	pure	pure	PROPN
ejpam-6144	196	3	appl	appl	PROPN
ejpam-6144	196	4	.	.	PROPN
ejpam-6144	196	5	math	math	PROPN
ejpam-6144	196	6	,	,	PUNCT
ejpam-6144	196	7	18	18	NUM
ejpam-6144	196	8	(	(	PUNCT
ejpam-6144	196	9	2	2	NUM
ejpam-6144	196	10	)	)	PUNCT
ejpam-6144	196	11	(	(	PUNCT
ejpam-6144	196	12	2025	2025	NUM
ejpam-6144	196	13	)	)	PUNCT
ejpam-6144	196	14	,	,	PUNCT
ejpam-6144	196	15	6144	6144	NUM
ejpam-6144	196	16	9	9	NUM
ejpam-6144	196	17	of	of	ADP
ejpam-6144	196	18	26	26	NUM
ejpam-6144	196	19	and	and	CCONJ
ejpam-6144	196	20	systems	system	NOUN
ejpam-6144	196	21	.	.	PUNCT
ejpam-6144	197	1	3.2	3.2	NUM
ejpam-6144	197	2	.	.	PUNCT
ejpam-6144	197	3	entropy	entropy	PROPN
ejpam-6144	197	4	entropy	entropy	PROPN
ejpam-6144	197	5	is	be	AUX
ejpam-6144	197	6	a	a	DET
ejpam-6144	197	7	measure	measure	NOUN
ejpam-6144	197	8	of	of	ADP
ejpam-6144	197	9	the	the	DET
ejpam-6144	197	10	uncertainty	uncertainty	NOUN
ejpam-6144	197	11	or	or	CCONJ
ejpam-6144	197	12	unpredictability	unpredictability	NOUN
ejpam-6144	197	13	associated	associate	VERB
ejpam-6144	197	14	with	with	ADP
ejpam-6144	197	15	a	a	DET
ejpam-6144	197	16	random	random	ADJ
ejpam-6144	197	17	variable	variable	NOUN
ejpam-6144	197	18	,	,	PUNCT
ejpam-6144	197	19	denoted	denote	VERB
ejpam-6144	197	20	as	as	ADP
ejpam-6144	197	21	z.	z.	PROPN
ejpam-6144	197	22	it	it	PRON
ejpam-6144	197	23	quantifies	quantify	VERB
ejpam-6144	197	24	the	the	DET
ejpam-6144	197	25	level	level	NOUN
ejpam-6144	197	26	of	of	ADP
ejpam-6144	197	27	disorder	disorder	NOUN
ejpam-6144	197	28	or	or	CCONJ
ejpam-6144	197	29	information	information	NOUN
ejpam-6144	197	30	content	content	NOUN
ejpam-6144	197	31	within	within	ADP
ejpam-6144	197	32	the	the	DET
ejpam-6144	197	33	distribution	distribution	NOUN
ejpam-6144	197	34	of	of	ADP
ejpam-6144	197	35	z	z	PROPN
ejpam-6144	197	36	(	(	PUNCT
ejpam-6144	197	37	see	see	VERB
ejpam-6144	197	38	rényi	rényi	PROPN
ejpam-6144	197	39	,	,	PUNCT
ejpam-6144	197	40	[	[	X
ejpam-6144	197	41	24	24	NUM
ejpam-6144	197	42	]	]	PUNCT
ejpam-6144	197	43	)	)	PUNCT
ejpam-6144	197	44	.	.	PUNCT
ejpam-6144	198	1	in	in	ADP
ejpam-6144	198	2	the	the	DET
ejpam-6144	198	3	context	context	NOUN
ejpam-6144	198	4	of	of	ADP
ejpam-6144	198	5	sustainable	sustainable	ADJ
ejpam-6144	198	6	dispersion	dispersion	NOUN
ejpam-6144	198	7	data	datum	NOUN
ejpam-6144	198	8	,	,	PUNCT
ejpam-6144	198	9	entropy	entropy	PROPN
ejpam-6144	198	10	plays	play	VERB
ejpam-6144	198	11	a	a	DET
ejpam-6144	198	12	vital	vital	ADJ
ejpam-6144	198	13	role	role	NOUN
ejpam-6144	198	14	in	in	ADP
ejpam-6144	198	15	assessing	assess	VERB
ejpam-6144	198	16	the	the	DET
ejpam-6144	198	17	variability	variability	NOUN
ejpam-6144	198	18	and	and	CCONJ
ejpam-6144	198	19	uncertainty	uncertainty	NOUN
ejpam-6144	198	20	in	in	ADP
ejpam-6144	198	21	sustainability	sustainability	NOUN
ejpam-6144	198	22	metrics	metric	NOUN
ejpam-6144	198	23	,	,	PUNCT
ejpam-6144	198	24	such	such	ADJ
ejpam-6144	198	25	as	as	ADP
ejpam-6144	198	26	resource	resource	NOUN
ejpam-6144	198	27	consumption	consumption	NOUN
ejpam-6144	198	28	,	,	PUNCT
ejpam-6144	198	29	environmental	environmental	ADJ
ejpam-6144	198	30	impact	impact	NOUN
ejpam-6144	198	31	,	,	PUNCT
ejpam-6144	198	32	or	or	CCONJ
ejpam-6144	198	33	social	social	ADJ
ejpam-6144	198	34	sustainability	sustainability	NOUN
ejpam-6144	198	35	indicators	indicator	NOUN
ejpam-6144	198	36	.	.	PUNCT
ejpam-6144	199	1	by	by	ADP
ejpam-6144	199	2	capturing	capture	VERB
ejpam-6144	199	3	the	the	DET
ejpam-6144	199	4	degree	degree	NOUN
ejpam-6144	199	5	of	of	ADP
ejpam-6144	199	6	spread	spread	NOUN
ejpam-6144	199	7	or	or	CCONJ
ejpam-6144	199	8	concentration	concentration	NOUN
ejpam-6144	199	9	of	of	ADP
ejpam-6144	199	10	data	datum	NOUN
ejpam-6144	199	11	,	,	PUNCT
ejpam-6144	199	12	entropy	entropy	PROPN
ejpam-6144	199	13	helps	help	VERB
ejpam-6144	199	14	to	to	PART
ejpam-6144	199	15	quantify	quantify	VERB
ejpam-6144	199	16	the	the	DET
ejpam-6144	199	17	uncertainty	uncertainty	NOUN
ejpam-6144	199	18	inherent	inherent	ADJ
ejpam-6144	199	19	in	in	ADP
ejpam-6144	199	20	these	these	DET
ejpam-6144	199	21	measures	measure	NOUN
ejpam-6144	199	22	,	,	PUNCT
ejpam-6144	199	23	which	which	PRON
ejpam-6144	199	24	is	be	AUX
ejpam-6144	199	25	essential	essential	ADJ
ejpam-6144	199	26	for	for	ADP
ejpam-6144	199	27	making	make	VERB
ejpam-6144	199	28	informed	informed	ADJ
ejpam-6144	199	29	decisions	decision	NOUN
ejpam-6144	199	30	about	about	ADP
ejpam-6144	199	31	sustainable	sustainable	ADJ
ejpam-6144	199	32	practices	practice	NOUN
ejpam-6144	199	33	.	.	PUNCT
ejpam-6144	200	1	the	the	DET
ejpam-6144	200	2	rényi	rényi	PROPN
ejpam-6144	200	3	entropy	entropy	PROPN
ejpam-6144	200	4	of	of	ADP
ejpam-6144	200	5	the	the	DET
ejpam-6144	200	6	discrete	discrete	ADJ
ejpam-6144	200	7	random	random	ADJ
ejpam-6144	200	8	variable	variable	NOUN
ejpam-6144	200	9	can	can	AUX
ejpam-6144	200	10	be	be	AUX
ejpam-6144	200	11	expressed	express	VERB
ejpam-6144	200	12	as	as	ADP
ejpam-6144	200	13	iη(z	iη(z	NOUN
ejpam-6144	200	14	)	)	PUNCT
ejpam-6144	200	15	=	=	SYM
ejpam-6144	200	16	1	1	NUM
ejpam-6144	200	17	1−	1−	NUM
ejpam-6144	200	18	η	η	PROPN
ejpam-6144	200	19	log	log	VERB
ejpam-6144	200	20	∞∑	∞∑	PROPN
ejpam-6144	200	21	z=0	z=0	NUM
ejpam-6144	200	22	fηz	fηz	NOUN
ejpam-6144	200	23	(	(	PUNCT
ejpam-6144	200	24	z	z	NOUN
ejpam-6144	200	25	;	;	PUNCT
ejpam-6144	200	26	γ	γ	X
ejpam-6144	200	27	,	,	PUNCT
ejpam-6144	200	28	τ	τ	PROPN
ejpam-6144	200	29	,	,	PUNCT
ejpam-6144	200	30	θ	θ	PROPN
ejpam-6144	200	31	)	)	PUNCT
ejpam-6144	200	32	,	,	PUNCT
ejpam-6144	200	33	where	where	SCONJ
ejpam-6144	200	34	η	η	PROPN
ejpam-6144	200	35	∈	∈	PROPN
ejpam-6144	200	36	]	]	X
ejpam-6144	200	37	0,∞	0,∞	NOUN
ejpam-6144	200	38	[	[	PUNCT
ejpam-6144	200	39	and	and	CCONJ
ejpam-6144	200	40	η	η	PROPN
ejpam-6144	200	41	̸=	̸=	PROPN
ejpam-6144	200	42	1	1	NUM
ejpam-6144	200	43	.	.	PUNCT
ejpam-6144	201	1	the	the	DET
ejpam-6144	201	2	shannon	shannon	PROPN
ejpam-6144	201	3	entropy	entropy	PROPN
ejpam-6144	201	4	can	can	AUX
ejpam-6144	201	5	be	be	AUX
ejpam-6144	201	6	defined	define	VERB
ejpam-6144	201	7	by	by	ADP
ejpam-6144	201	8	e	e	NOUN
ejpam-6144	201	9	[	[	X
ejpam-6144	201	10	−	−	PROPN
ejpam-6144	201	11	log	log	NOUN
ejpam-6144	201	12	f(z	f(z	PROPN
ejpam-6144	201	13	;	;	PUNCT
ejpam-6144	201	14	γ	γ	X
ejpam-6144	201	15	,	,	PUNCT
ejpam-6144	201	16	τ	τ	PROPN
ejpam-6144	201	17	,	,	PUNCT
ejpam-6144	201	18	θ	θ	PROPN
ejpam-6144	201	19	)	)	PUNCT
ejpam-6144	201	20	]	]	PUNCT
ejpam-6144	201	21	.	.	PUNCT
ejpam-6144	202	1	it	it	PRON
ejpam-6144	202	2	is	be	AUX
ejpam-6144	202	3	observed	observe	VERB
ejpam-6144	202	4	that	that	SCONJ
ejpam-6144	202	5	the	the	DET
ejpam-6144	202	6	shannon	shannon	PROPN
ejpam-6144	202	7	entropy	entropy	PROPN
ejpam-6144	202	8	can	can	AUX
ejpam-6144	202	9	be	be	AUX
ejpam-6144	202	10	calculated	calculate	VERB
ejpam-6144	202	11	as	as	ADP
ejpam-6144	202	12	a	a	DET
ejpam-6144	202	13	special	special	ADJ
ejpam-6144	202	14	case	case	NOUN
ejpam-6144	202	15	of	of	ADP
ejpam-6144	202	16	the	the	DET
ejpam-6144	202	17	rényi	rényi	PROPN
ejpam-6144	202	18	entropy	entropy	PROPN
ejpam-6144	202	19	when	when	SCONJ
ejpam-6144	202	20	η	η	PROPN
ejpam-6144	202	21	→	→	PROPN
ejpam-6144	202	22	1	1	NUM
ejpam-6144	202	23	.	.	X
ejpam-6144	203	1	for	for	ADP
ejpam-6144	203	2	the	the	DET
ejpam-6144	203	3	dgzhlo	dgzhlo	PROPN
ejpam-6144	203	4	model	model	NOUN
ejpam-6144	203	5	,	,	PUNCT
ejpam-6144	203	6	the	the	DET
ejpam-6144	203	7	iη(z	iη(z	NOUN
ejpam-6144	203	8	)	)	PUNCT
ejpam-6144	203	9	can	can	AUX
ejpam-6144	203	10	be	be	AUX
ejpam-6144	203	11	formulated	formulate	VERB
ejpam-6144	203	12	as	as	ADP
ejpam-6144	203	13	iη(z	iη(z	NOUN
ejpam-6144	203	14	)	)	PUNCT
ejpam-6144	204	1	=	=	SYM
ejpam-6144	204	2	1	1	NUM
ejpam-6144	204	3	1−	1−	NUM
ejpam-6144	204	4	η	η	PROPN
ejpam-6144	204	5	−η	−η	PROPN
ejpam-6144	204	6	τ	τ	PROPN
ejpam-6144	204	7	log	log	NOUN
ejpam-6144	204	8	γ	γ	PROPN
ejpam-6144	204	9	+	+	CCONJ
ejpam-6144	204	10	log	log	VERB
ejpam-6144	204	11	∞∑	∞∑	PROPN
ejpam-6144	204	12	z=0	z=0	NUM
ejpam-6144	204	13	γ	γ	PROPN
ejpam-6144	204	14	1	1	NUM
ejpam-6144	204	15	τ	τ	PROPN
ejpam-6144	204	16	[	[	PUNCT
ejpam-6144	204	17	1−	1−	NUM
ejpam-6144	204	18	1−e−θz	1−e−θz	NUM
ejpam-6144	204	19	1+e−θz	1+e−θz	NUM
ejpam-6144	204	20	]	]	SYM
ejpam-6144	204	21	−τ	−τ	NOUN
ejpam-6144	204	22	−	−	PROPN
ejpam-6144	204	23	γ	γ	PROPN
ejpam-6144	204	24	1	1	NUM
ejpam-6144	204	25	τ	τ	PROPN
ejpam-6144	204	26	[	[	PUNCT
ejpam-6144	204	27	1−	1−	NUM
ejpam-6144	204	28	1−e−θ(z+1	1−e−θ(z+1	NUM
ejpam-6144	204	29	)	)	PUNCT
ejpam-6144	204	30	1+e−θ(z+1	1+e−θ(z+1	NUM
ejpam-6144	204	31	)	)	PUNCT
ejpam-6144	204	32	]	]	PUNCT
ejpam-6144	204	33	−τ	−τ	ADJ
ejpam-6144	204	34	η	η	ADJ
ejpam-6144	204	35	.	.	PUNCT
ejpam-6144	205	1	(	(	PUNCT
ejpam-6144	205	2	17	17	NUM
ejpam-6144	205	3	)	)	PUNCT
ejpam-6144	205	4	the	the	DET
ejpam-6144	205	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	205	6	model	model	NOUN
ejpam-6144	205	7	,	,	PUNCT
ejpam-6144	205	8	with	with	ADP
ejpam-6144	205	9	its	its	PRON
ejpam-6144	205	10	ability	ability	NOUN
ejpam-6144	205	11	to	to	PART
ejpam-6144	205	12	handle	handle	VERB
ejpam-6144	205	13	diverse	diverse	ADJ
ejpam-6144	205	14	dispersion	dispersion	NOUN
ejpam-6144	205	15	characteristics	characteristic	NOUN
ejpam-6144	205	16	,	,	PUNCT
ejpam-6144	205	17	including	include	VERB
ejpam-6144	205	18	overdispersion	overdispersion	NOUN
ejpam-6144	205	19	,	,	PUNCT
ejpam-6144	205	20	underdispersion	underdispersion	NOUN
ejpam-6144	205	21	,	,	PUNCT
ejpam-6144	205	22	and	and	CCONJ
ejpam-6144	205	23	equidispersion	equidispersion	NOUN
ejpam-6144	205	24	,	,	PUNCT
ejpam-6144	205	25	can	can	AUX
ejpam-6144	205	26	be	be	AUX
ejpam-6144	205	27	effectively	effectively	ADV
ejpam-6144	205	28	applied	apply	VERB
ejpam-6144	205	29	to	to	ADP
ejpam-6144	205	30	sustainability	sustainability	NOUN
ejpam-6144	205	31	data	datum	NOUN
ejpam-6144	205	32	.	.	PUNCT
ejpam-6144	206	1	it	it	PRON
ejpam-6144	206	2	provides	provide	VERB
ejpam-6144	206	3	a	a	DET
ejpam-6144	206	4	robust	robust	ADJ
ejpam-6144	206	5	framework	framework	NOUN
ejpam-6144	206	6	for	for	ADP
ejpam-6144	206	7	modeling	model	VERB
ejpam-6144	206	8	the	the	DET
ejpam-6144	206	9	uncertainty	uncertainty	NOUN
ejpam-6144	206	10	and	and	CCONJ
ejpam-6144	206	11	variation	variation	NOUN
ejpam-6144	206	12	in	in	ADP
ejpam-6144	206	13	sustainability	sustainability	NOUN
ejpam-6144	206	14	metrics	metric	NOUN
ejpam-6144	206	15	,	,	PUNCT
ejpam-6144	206	16	considering	consider	VERB
ejpam-6144	206	17	various	various	ADJ
ejpam-6144	206	18	levels	level	NOUN
ejpam-6144	206	19	of	of	ADP
ejpam-6144	206	20	kurtosis	kurtosis	NOUN
ejpam-6144	206	21	and	and	CCONJ
ejpam-6144	206	22	skewness	skewness	NOUN
ejpam-6144	206	23	.	.	PUNCT
ejpam-6144	207	1	in	in	ADP
ejpam-6144	207	2	fields	field	NOUN
ejpam-6144	207	3	such	such	ADJ
ejpam-6144	207	4	as	as	ADP
ejpam-6144	207	5	environmental	environmental	ADJ
ejpam-6144	207	6	science	science	NOUN
ejpam-6144	207	7	,	,	PUNCT
ejpam-6144	207	8	economics	economic	NOUN
ejpam-6144	207	9	,	,	PUNCT
ejpam-6144	207	10	and	and	CCONJ
ejpam-6144	207	11	social	social	ADJ
ejpam-6144	207	12	policy	policy	NOUN
ejpam-6144	207	13	,	,	PUNCT
ejpam-6144	207	14	where	where	SCONJ
ejpam-6144	207	15	sustainability	sustainability	NOUN
ejpam-6144	207	16	data	datum	NOUN
ejpam-6144	207	17	often	often	ADV
ejpam-6144	207	18	exhibit	exhibit	VERB
ejpam-6144	207	19	complex	complex	ADJ
ejpam-6144	207	20	dispersion	dispersion	NOUN
ejpam-6144	207	21	patterns	pattern	NOUN
ejpam-6144	207	22	,	,	PUNCT
ejpam-6144	207	23	the	the	DET
ejpam-6144	207	24	dgzhlo	dgzhlo	PROPN
ejpam-6144	207	25	model	model	NOUN
ejpam-6144	207	26	offers	offer	VERB
ejpam-6144	207	27	a	a	DET
ejpam-6144	207	28	flexible	flexible	ADJ
ejpam-6144	207	29	and	and	CCONJ
ejpam-6144	207	30	powerful	powerful	ADJ
ejpam-6144	207	31	tool	tool	NOUN
ejpam-6144	207	32	for	for	ADP
ejpam-6144	207	33	analyzing	analyze	VERB
ejpam-6144	207	34	these	these	DET
ejpam-6144	207	35	uncertainties	uncertainty	NOUN
ejpam-6144	207	36	.	.	PUNCT
ejpam-6144	208	1	specifically	specifically	ADV
ejpam-6144	208	2	,	,	PUNCT
ejpam-6144	208	3	entropy	entropy	VERB
ejpam-6144	208	4	in	in	ADP
ejpam-6144	208	5	sustainable	sustainable	ADJ
ejpam-6144	208	6	dispersion	dispersion	NOUN
ejpam-6144	208	7	data	datum	NOUN
ejpam-6144	208	8	can	can	AUX
ejpam-6144	208	9	be	be	AUX
ejpam-6144	208	10	used	use	VERB
ejpam-6144	208	11	to	to	PART
ejpam-6144	208	12	understand	understand	VERB
ejpam-6144	208	13	how	how	SCONJ
ejpam-6144	208	14	the	the	DET
ejpam-6144	208	15	probability	probability	NOUN
ejpam-6144	208	16	distribution	distribution	NOUN
ejpam-6144	208	17	of	of	ADP
ejpam-6144	208	18	a	a	DET
ejpam-6144	208	19	sustainability	sustainability	NOUN
ejpam-6144	208	20	measure	measure	NOUN
ejpam-6144	208	21	is	be	AUX
ejpam-6144	208	22	spread	spread	VERB
ejpam-6144	208	23	out	out	ADP
ejpam-6144	208	24	or	or	CCONJ
ejpam-6144	208	25	concentrated	concentrated	ADJ
ejpam-6144	208	26	.	.	PUNCT
ejpam-6144	209	1	this	this	PRON
ejpam-6144	209	2	can	can	AUX
ejpam-6144	209	3	provide	provide	VERB
ejpam-6144	209	4	valuable	valuable	ADJ
ejpam-6144	209	5	insights	insight	NOUN
ejpam-6144	209	6	into	into	ADP
ejpam-6144	209	7	the	the	DET
ejpam-6144	209	8	stability	stability	NOUN
ejpam-6144	209	9	or	or	CCONJ
ejpam-6144	209	10	variability	variability	NOUN
ejpam-6144	209	11	of	of	ADP
ejpam-6144	209	12	the	the	DET
ejpam-6144	209	13	data	datum	NOUN
ejpam-6144	209	14	,	,	PUNCT
ejpam-6144	209	15	helping	help	VERB
ejpam-6144	209	16	stakeholders	stakeholder	NOUN
ejpam-6144	209	17	make	make	VERB
ejpam-6144	209	18	decisions	decision	NOUN
ejpam-6144	209	19	that	that	PRON
ejpam-6144	209	20	align	align	VERB
ejpam-6144	209	21	with	with	ADP
ejpam-6144	209	22	long	long	ADJ
ejpam-6144	209	23	-	-	PUNCT
ejpam-6144	209	24	term	term	NOUN
ejpam-6144	209	25	sustainability	sustainability	NOUN
ejpam-6144	209	26	goals	goal	NOUN
ejpam-6144	209	27	.	.	PUNCT
ejpam-6144	210	1	for	for	ADP
ejpam-6144	210	2	example	example	NOUN
ejpam-6144	210	3	,	,	PUNCT
ejpam-6144	210	4	entropy	entropy	PROPN
ejpam-6144	210	5	could	could	AUX
ejpam-6144	210	6	be	be	AUX
ejpam-6144	210	7	used	use	VERB
ejpam-6144	210	8	to	to	PART
ejpam-6144	210	9	assess	assess	VERB
ejpam-6144	210	10	the	the	DET
ejpam-6144	210	11	unpredictability	unpredictability	NOUN
ejpam-6144	210	12	of	of	ADP
ejpam-6144	210	13	environmental	environmental	ADJ
ejpam-6144	210	14	changes	change	NOUN
ejpam-6144	210	15	or	or	CCONJ
ejpam-6144	210	16	the	the	DET
ejpam-6144	210	17	effectiveness	effectiveness	NOUN
ejpam-6144	210	18	of	of	ADP
ejpam-6144	210	19	sustainable	sustainable	ADJ
ejpam-6144	210	20	practices	practice	NOUN
ejpam-6144	210	21	,	,	PUNCT
ejpam-6144	210	22	guiding	guide	VERB
ejpam-6144	210	23	policymakers	policymaker	NOUN
ejpam-6144	210	24	and	and	CCONJ
ejpam-6144	210	25	businesses	business	NOUN
ejpam-6144	210	26	toward	toward	ADP
ejpam-6144	210	27	strategies	strategy	NOUN
ejpam-6144	210	28	that	that	PRON
ejpam-6144	210	29	mitigate	mitigate	VERB
ejpam-6144	210	30	risk	risk	NOUN
ejpam-6144	210	31	and	and	CCONJ
ejpam-6144	210	32	uncertainty	uncertainty	NOUN
ejpam-6144	210	33	.	.	PUNCT
ejpam-6144	211	1	3.3	3.3	NUM
ejpam-6144	211	2	.	.	PUNCT
ejpam-6144	212	1	mean	mean	VERB
ejpam-6144	212	2	time	time	NOUN
ejpam-6144	212	3	to	to	ADP
ejpam-6144	212	4	failure	failure	NOUN
ejpam-6144	212	5	,	,	PUNCT
ejpam-6144	212	6	mean	mean	VERB
ejpam-6144	212	7	time	time	NOUN
ejpam-6144	212	8	between	between	ADP
ejpam-6144	212	9	failure	failure	NOUN
ejpam-6144	212	10	and	and	CCONJ
ejpam-6144	212	11	availability	availability	NOUN
ejpam-6144	212	12	in	in	ADP
ejpam-6144	212	13	the	the	DET
ejpam-6144	212	14	context	context	NOUN
ejpam-6144	212	15	of	of	ADP
ejpam-6144	212	16	discrete	discrete	ADJ
ejpam-6144	212	17	random	random	ADJ
ejpam-6144	212	18	variables	variable	NOUN
ejpam-6144	212	19	,	,	PUNCT
ejpam-6144	212	20	the	the	DET
ejpam-6144	212	21	dgzhlo	dgzhlo	PROPN
ejpam-6144	212	22	model	model	NOUN
ejpam-6144	212	23	offers	offer	VERB
ejpam-6144	212	24	a	a	DET
ejpam-6144	212	25	valuable	valuable	ADJ
ejpam-6144	212	26	framework	framework	NOUN
ejpam-6144	212	27	for	for	ADP
ejpam-6144	212	28	evaluating	evaluate	VERB
ejpam-6144	212	29	system	system	NOUN
ejpam-6144	212	30	performance	performance	NOUN
ejpam-6144	212	31	based	base	VERB
ejpam-6144	212	32	on	on	ADP
ejpam-6144	212	33	reliability	reliability	NOUN
ejpam-6144	212	34	metrics	metric	NOUN
ejpam-6144	212	35	such	such	ADJ
ejpam-6144	212	36	as	as	ADP
ejpam-6144	212	37	mean	mean	ADJ
ejpam-6144	212	38	time	time	NOUN
ejpam-6144	212	39	to	to	ADP
ejpam-6144	212	40	failure	failure	NOUN
ejpam-6144	212	41	(	(	PUNCT
ejpam-6144	212	42	mttf	mttf	PROPN
ejpam-6144	212	43	)	)	PUNCT
ejpam-6144	212	44	,	,	PUNCT
ejpam-6144	212	45	mean	mean	VERB
ejpam-6144	212	46	time	time	NOUN
ejpam-6144	212	47	between	between	ADP
ejpam-6144	212	48	failures	failure	NOUN
ejpam-6144	212	49	(	(	PUNCT
ejpam-6144	212	50	mtbf	mtbf	NOUN
ejpam-6144	212	51	)	)	PUNCT
ejpam-6144	212	52	,	,	PUNCT
ejpam-6144	212	53	and	and	CCONJ
ejpam-6144	212	54	availability	availability	NOUN
ejpam-6144	212	55	(	(	PUNCT
ejpam-6144	212	56	av	av	NOUN
ejpam-6144	212	57	)	)	PUNCT
ejpam-6144	212	58	.	.	PUNCT
ejpam-6144	213	1	mttf	mttf	PROPN
ejpam-6144	213	2	represents	represent	VERB
ejpam-6144	213	3	the	the	DET
ejpam-6144	213	4	average	average	ADJ
ejpam-6144	213	5	time	time	NOUN
ejpam-6144	213	6	until	until	SCONJ
ejpam-6144	213	7	the	the	DET
ejpam-6144	213	8	first	first	ADJ
ejpam-6144	213	9	failure	failure	NOUN
ejpam-6144	213	10	of	of	ADP
ejpam-6144	213	11	a	a	DET
ejpam-6144	213	12	non	non	ADJ
ejpam-6144	213	13	-	-	ADJ
ejpam-6144	213	14	repairable	repairable	ADJ
ejpam-6144	213	15	system	system	NOUN
ejpam-6144	213	16	,	,	PUNCT
ejpam-6144	213	17	and	and	CCONJ
ejpam-6144	213	18	for	for	ADP
ejpam-6144	213	19	the	the	DET
ejpam-6144	213	20	dgzhlo	dgzhlo	PROPN
ejpam-6144	213	21	model	model	NOUN
ejpam-6144	213	22	,	,	PUNCT
ejpam-6144	213	23	it	it	PRON
ejpam-6144	213	24	can	can	AUX
ejpam-6144	213	25	be	be	AUX
ejpam-6144	213	26	estimated	estimate	VERB
ejpam-6144	213	27	using	use	VERB
ejpam-6144	213	28	the	the	DET
ejpam-6144	213	29	expected	expect	VERB
ejpam-6144	213	30	failure	failure	NOUN
ejpam-6144	213	31	time	time	NOUN
ejpam-6144	213	32	derived	derive	VERB
ejpam-6144	213	33	from	from	ADP
ejpam-6144	213	34	the	the	DET
ejpam-6144	213	35	m.	m.	NOUN
ejpam-6144	213	36	s.	s.	PROPN
ejpam-6144	213	37	eliwa	eliwa	PROPN
ejpam-6144	213	38	,	,	PUNCT
ejpam-6144	213	39	w.	w.	PROPN
ejpam-6144	213	40	e.	e.	PROPN
ejpam-6144	213	41	alghanem	alghanem	PROPN
ejpam-6144	213	42	,	,	PUNCT
ejpam-6144	213	43	m.	m.	NOUN
ejpam-6144	213	44	a.	a.	NOUN
ejpam-6144	213	45	alenizi	alenizi	PROPN
ejpam-6144	213	46	/	/	SYM
ejpam-6144	213	47	eur	eur	PROPN
ejpam-6144	213	48	.	.	PUNCT
ejpam-6144	214	1	j.	j.	PROPN
ejpam-6144	214	2	pure	pure	PROPN
ejpam-6144	214	3	appl	appl	PROPN
ejpam-6144	214	4	.	.	PROPN
ejpam-6144	214	5	math	math	PROPN
ejpam-6144	214	6	,	,	PUNCT
ejpam-6144	214	7	18	18	NUM
ejpam-6144	214	8	(	(	PUNCT
ejpam-6144	214	9	2	2	NUM
ejpam-6144	214	10	)	)	PUNCT
ejpam-6144	214	11	(	(	PUNCT
ejpam-6144	214	12	2025	2025	NUM
ejpam-6144	214	13	)	)	PUNCT
ejpam-6144	214	14	,	,	PUNCT
ejpam-6144	214	15	6144	6144	NUM
ejpam-6144	214	16	10	10	NUM
ejpam-6144	214	17	of	of	ADP
ejpam-6144	214	18	26	26	NUM
ejpam-6144	214	19	distribution	distribution	NOUN
ejpam-6144	214	20	’s	’s	PART
ejpam-6144	214	21	parameters	parameter	NOUN
ejpam-6144	214	22	.	.	PUNCT
ejpam-6144	215	1	mtbf	mtbf	PROPN
ejpam-6144	215	2	,	,	PUNCT
ejpam-6144	215	3	which	which	PRON
ejpam-6144	215	4	applies	apply	VERB
ejpam-6144	215	5	to	to	ADP
ejpam-6144	215	6	repairable	repairable	ADJ
ejpam-6144	215	7	systems	system	NOUN
ejpam-6144	215	8	,	,	PUNCT
ejpam-6144	215	9	indicates	indicate	VERB
ejpam-6144	215	10	the	the	DET
ejpam-6144	215	11	average	average	ADJ
ejpam-6144	215	12	time	time	NOUN
ejpam-6144	215	13	between	between	ADP
ejpam-6144	215	14	two	two	NUM
ejpam-6144	215	15	successive	successive	ADJ
ejpam-6144	215	16	failures	failure	NOUN
ejpam-6144	215	17	,	,	PUNCT
ejpam-6144	215	18	and	and	CCONJ
ejpam-6144	215	19	the	the	DET
ejpam-6144	215	20	dgzhlo	dgzhlo	PROPN
ejpam-6144	215	21	model	model	NOUN
ejpam-6144	215	22	helps	help	VERB
ejpam-6144	215	23	estimate	estimate	VERB
ejpam-6144	215	24	this	this	PRON
ejpam-6144	215	25	by	by	ADP
ejpam-6144	215	26	analyzing	analyze	VERB
ejpam-6144	215	27	failure	failure	NOUN
ejpam-6144	215	28	rates	rate	NOUN
ejpam-6144	215	29	across	across	ADP
ejpam-6144	215	30	multiple	multiple	ADJ
ejpam-6144	215	31	cycles	cycle	NOUN
ejpam-6144	215	32	.	.	PUNCT
ejpam-6144	216	1	when	when	SCONJ
ejpam-6144	216	2	applied	apply	VERB
ejpam-6144	216	3	to	to	ADP
ejpam-6144	216	4	sustainable	sustainable	ADJ
ejpam-6144	216	5	dispersion	dispersion	NOUN
ejpam-6144	216	6	data	datum	NOUN
ejpam-6144	216	7	,	,	PUNCT
ejpam-6144	216	8	the	the	DET
ejpam-6144	216	9	dgzhlo	dgzhlo	PROPN
ejpam-6144	216	10	model	model	NOUN
ejpam-6144	216	11	’s	’s	PART
ejpam-6144	216	12	capacity	capacity	NOUN
ejpam-6144	216	13	to	to	PART
ejpam-6144	216	14	handle	handle	VERB
ejpam-6144	216	15	varying	vary	VERB
ejpam-6144	216	16	dispersion	dispersion	NOUN
ejpam-6144	216	17	characteristics	characteristic	NOUN
ejpam-6144	216	18	including	include	VERB
ejpam-6144	216	19	overdispersion	overdispersion	NOUN
ejpam-6144	216	20	,	,	PUNCT
ejpam-6144	216	21	underdispersion	underdispersion	NOUN
ejpam-6144	216	22	,	,	PUNCT
ejpam-6144	216	23	and	and	CCONJ
ejpam-6144	216	24	equidispersion	equidispersion	NOUN
ejpam-6144	216	25	becomes	become	VERB
ejpam-6144	216	26	particularly	particularly	ADV
ejpam-6144	216	27	useful	useful	ADJ
ejpam-6144	216	28	.	.	PUNCT
ejpam-6144	217	1	for	for	ADP
ejpam-6144	217	2	instance	instance	NOUN
ejpam-6144	217	3	,	,	PUNCT
ejpam-6144	217	4	it	it	PRON
ejpam-6144	217	5	can	can	AUX
ejpam-6144	217	6	help	help	VERB
ejpam-6144	217	7	analyze	analyze	VERB
ejpam-6144	217	8	and	and	CCONJ
ejpam-6144	217	9	model	model	VERB
ejpam-6144	217	10	the	the	DET
ejpam-6144	217	11	variability	variability	NOUN
ejpam-6144	217	12	in	in	ADP
ejpam-6144	217	13	the	the	DET
ejpam-6144	217	14	time	time	NOUN
ejpam-6144	217	15	between	between	ADP
ejpam-6144	217	16	system	system	NOUN
ejpam-6144	217	17	failures	failure	NOUN
ejpam-6144	217	18	or	or	CCONJ
ejpam-6144	217	19	the	the	DET
ejpam-6144	217	20	time	time	NOUN
ejpam-6144	217	21	until	until	SCONJ
ejpam-6144	217	22	a	a	DET
ejpam-6144	217	23	certain	certain	ADJ
ejpam-6144	217	24	sustainability	sustainability	NOUN
ejpam-6144	217	25	threshold	threshold	NOUN
ejpam-6144	217	26	is	be	AUX
ejpam-6144	217	27	reached	reach	VERB
ejpam-6144	217	28	.	.	PUNCT
ejpam-6144	218	1	this	this	PRON
ejpam-6144	218	2	is	be	AUX
ejpam-6144	218	3	crucial	crucial	ADJ
ejpam-6144	218	4	in	in	ADP
ejpam-6144	218	5	sustainability	sustainability	NOUN
ejpam-6144	218	6	assessments	assessment	NOUN
ejpam-6144	218	7	,	,	PUNCT
ejpam-6144	218	8	where	where	SCONJ
ejpam-6144	218	9	understanding	understand	VERB
ejpam-6144	218	10	the	the	DET
ejpam-6144	218	11	lifespan	lifespan	NOUN
ejpam-6144	218	12	and	and	CCONJ
ejpam-6144	218	13	reliability	reliability	NOUN
ejpam-6144	218	14	of	of	ADP
ejpam-6144	218	15	systems	system	NOUN
ejpam-6144	218	16	(	(	PUNCT
ejpam-6144	218	17	such	such	ADJ
ejpam-6144	218	18	as	as	ADP
ejpam-6144	218	19	renewable	renewable	ADJ
ejpam-6144	218	20	energy	energy	NOUN
ejpam-6144	218	21	infrastructures	infrastructure	NOUN
ejpam-6144	218	22	or	or	CCONJ
ejpam-6144	218	23	sustainable	sustainable	ADJ
ejpam-6144	218	24	production	production	NOUN
ejpam-6144	218	25	systems	system	NOUN
ejpam-6144	218	26	)	)	PUNCT
ejpam-6144	218	27	is	be	AUX
ejpam-6144	218	28	essential	essential	ADJ
ejpam-6144	218	29	.	.	PUNCT
ejpam-6144	219	1	the	the	DET
ejpam-6144	219	2	dgzhlo	dgzhlo	PROPN
ejpam-6144	219	3	model	model	NOUN
ejpam-6144	219	4	,	,	PUNCT
ejpam-6144	219	5	therefore	therefore	ADV
ejpam-6144	219	6	,	,	PUNCT
ejpam-6144	219	7	not	not	PART
ejpam-6144	219	8	only	only	ADV
ejpam-6144	219	9	provides	provide	VERB
ejpam-6144	219	10	insights	insight	NOUN
ejpam-6144	219	11	into	into	ADP
ejpam-6144	219	12	the	the	DET
ejpam-6144	219	13	reliability	reliability	NOUN
ejpam-6144	219	14	and	and	CCONJ
ejpam-6144	219	15	performance	performance	NOUN
ejpam-6144	219	16	of	of	ADP
ejpam-6144	219	17	such	such	ADJ
ejpam-6144	219	18	systems	system	NOUN
ejpam-6144	219	19	but	but	CCONJ
ejpam-6144	219	20	also	also	ADV
ejpam-6144	219	21	helps	help	VERB
ejpam-6144	219	22	quantify	quantify	VERB
ejpam-6144	219	23	the	the	DET
ejpam-6144	219	24	uncertainty	uncertainty	NOUN
ejpam-6144	219	25	and	and	CCONJ
ejpam-6144	219	26	variation	variation	NOUN
ejpam-6144	219	27	inherent	inherent	ADJ
ejpam-6144	219	28	in	in	ADP
ejpam-6144	219	29	sustainability	sustainability	NOUN
ejpam-6144	219	30	metrics	metric	NOUN
ejpam-6144	219	31	,	,	PUNCT
ejpam-6144	219	32	offering	offer	VERB
ejpam-6144	219	33	a	a	DET
ejpam-6144	219	34	robust	robust	ADJ
ejpam-6144	219	35	tool	tool	NOUN
ejpam-6144	219	36	for	for	ADP
ejpam-6144	219	37	longterm	longterm	NOUN
ejpam-6144	219	38	planning	planning	NOUN
ejpam-6144	219	39	and	and	CCONJ
ejpam-6144	219	40	decision	decision	NOUN
ejpam-6144	219	41	-	-	PUNCT
ejpam-6144	219	42	making	making	NOUN
ejpam-6144	219	43	in	in	ADP
ejpam-6144	219	44	sustainable	sustainable	ADJ
ejpam-6144	219	45	practices	practice	NOUN
ejpam-6144	219	46	.	.	PUNCT
ejpam-6144	220	1	if	if	SCONJ
ejpam-6144	220	2	t	t	PROPN
ejpam-6144	220	3	∼	∼	NOUN
ejpam-6144	220	4	dgzhlo(t	dgzhlo(t	NOUN
ejpam-6144	220	5	;	;	PUNCT
ejpam-6144	220	6	γ1	γ1	NOUN
ejpam-6144	220	7	,	,	PUNCT
ejpam-6144	220	8	τ1	τ1	NOUN
ejpam-6144	220	9	,	,	PUNCT
ejpam-6144	220	10	θ1	θ1	NOUN
ejpam-6144	220	11	)	)	PUNCT
ejpam-6144	220	12	,	,	PUNCT
ejpam-6144	220	13	then	then	ADV
ejpam-6144	220	14	the	the	DET
ejpam-6144	220	15	mtbf	mtbf	NOUN
ejpam-6144	220	16	is	be	AUX
ejpam-6144	220	17	given	give	VERB
ejpam-6144	220	18	as	as	ADP
ejpam-6144	220	19	mtbf(t	mtbf(t	NOUN
ejpam-6144	220	20	)	)	PUNCT
ejpam-6144	221	1	=	=	VERB
ejpam-6144	221	2	−t	−t	NOUN
ejpam-6144	221	3	ln(γ	ln(γ	PUNCT
ejpam-6144	221	4	1	1	NUM
ejpam-6144	221	5	τ1	τ1	NOUN
ejpam-6144	221	6	{	{	PUNCT
ejpam-6144	221	7	[	[	PUNCT
ejpam-6144	221	8	1−	1−	NUM
ejpam-6144	221	9	1−e−θ1(t+1	1−e−θ1(t+1	NUM
ejpam-6144	221	10	)	)	PUNCT
ejpam-6144	221	11	1+e−θ1(t+1	1+e−θ1(t+1	NUM
ejpam-6144	221	12	)	)	PUNCT
ejpam-6144	221	13	]	]	PUNCT
ejpam-6144	221	14	−τ1	−τ1	PROPN
ejpam-6144	221	15	−1	−1	NOUN
ejpam-6144	221	16	}	}	PUNCT
ejpam-6144	221	17	1	1	NUM
ejpam-6144	221	18	)	)	PUNCT
ejpam-6144	221	19	;	;	PUNCT
ejpam-6144	221	20	t	t	X
ejpam-6144	221	21	>	>	X
ejpam-6144	221	22	0	0	NUM
ejpam-6144	221	23	,	,	PUNCT
ejpam-6144	221	24	(	(	PUNCT
ejpam-6144	221	25	18	18	NUM
ejpam-6144	221	26	)	)	PUNCT
ejpam-6144	221	27	whereas	whereas	SCONJ
ejpam-6144	221	28	if	if	SCONJ
ejpam-6144	221	29	t	t	PROPN
ejpam-6144	221	30	∼	∼	NOUN
ejpam-6144	221	31	dgzhlo(t	dgzhlo(t	NOUN
ejpam-6144	221	32	;	;	PUNCT
ejpam-6144	221	33	γ2	γ2	ADJ
ejpam-6144	221	34	,	,	PUNCT
ejpam-6144	221	35	τ2	τ2	PROPN
ejpam-6144	221	36	,	,	PUNCT
ejpam-6144	221	37	θ2	θ2	PROPN
ejpam-6144	221	38	)	)	PUNCT
ejpam-6144	221	39	,	,	PUNCT
ejpam-6144	221	40	then	then	ADV
ejpam-6144	221	41	the	the	DET
ejpam-6144	221	42	mttf	mttf	NOUN
ejpam-6144	221	43	can	can	AUX
ejpam-6144	221	44	be	be	AUX
ejpam-6144	221	45	listed	list	VERB
ejpam-6144	221	46	as	as	ADP
ejpam-6144	221	47	mttf(t	mttf(t	PROPN
ejpam-6144	221	48	)	)	PUNCT
ejpam-6144	222	1	=	=	SYM
ejpam-6144	222	2	γ	γ	X
ejpam-6144	222	3	−	−	PROPN
ejpam-6144	222	4	1	1	NUM
ejpam-6144	222	5	τ2	τ2	NOUN
ejpam-6144	222	6	2	2	NUM
ejpam-6144	222	7	∞∑	∞∑	PRON
ejpam-6144	222	8	t=1	t=1	ADV
ejpam-6144	222	9	γ	γ	X
ejpam-6144	222	10	1	1	NUM
ejpam-6144	222	11	τ2	τ2	PROPN
ejpam-6144	222	12	[	[	PUNCT
ejpam-6144	222	13	1−	1−	NUM
ejpam-6144	222	14	1−e−θ2	1−e−θ2	NUM
ejpam-6144	222	15	t	t	NOUN
ejpam-6144	222	16	1+e−θ2	1+e−θ2	NUM
ejpam-6144	222	17	t	t	NOUN
ejpam-6144	222	18	]	]	PUNCT
ejpam-6144	222	19	−τ2	−τ2	PROPN
ejpam-6144	222	20	2	2	NUM
ejpam-6144	222	21	;	;	PUNCT
ejpam-6144	222	22	t	t	PROPN
ejpam-6144	222	23	>	>	X
ejpam-6144	222	24	0	0	PROPN
ejpam-6144	222	25	.	.	PUNCT
ejpam-6144	223	1	(	(	PUNCT
ejpam-6144	223	2	19	19	NUM
ejpam-6144	223	3	)	)	PUNCT
ejpam-6144	223	4	in	in	ADP
ejpam-6144	223	5	the	the	DET
ejpam-6144	223	6	context	context	NOUN
ejpam-6144	223	7	of	of	ADP
ejpam-6144	223	8	sustainability	sustainability	NOUN
ejpam-6144	223	9	dispersion	dispersion	NOUN
ejpam-6144	223	10	data	datum	NOUN
ejpam-6144	223	11	,	,	PUNCT
ejpam-6144	223	12	availability	availability	NOUN
ejpam-6144	223	13	measures	measure	VERB
ejpam-6144	223	14	the	the	DET
ejpam-6144	223	15	proportion	proportion	NOUN
ejpam-6144	223	16	of	of	ADP
ejpam-6144	223	17	time	time	NOUN
ejpam-6144	223	18	a	a	DET
ejpam-6144	223	19	system	system	NOUN
ejpam-6144	223	20	is	be	AUX
ejpam-6144	223	21	operational	operational	ADJ
ejpam-6144	223	22	,	,	PUNCT
ejpam-6144	223	23	factoring	factor	VERB
ejpam-6144	223	24	in	in	ADP
ejpam-6144	223	25	both	both	CCONJ
ejpam-6144	223	26	its	its	PRON
ejpam-6144	223	27	operational	operational	ADJ
ejpam-6144	223	28	time	time	NOUN
ejpam-6144	223	29	and	and	CCONJ
ejpam-6144	223	30	the	the	DET
ejpam-6144	223	31	downtime	downtime	NOUN
ejpam-6144	223	32	caused	cause	VERB
ejpam-6144	223	33	by	by	ADP
ejpam-6144	223	34	repairs	repair	NOUN
ejpam-6144	223	35	.	.	PUNCT
ejpam-6144	224	1	for	for	ADP
ejpam-6144	224	2	systems	system	NOUN
ejpam-6144	224	3	characterized	characterize	VERB
ejpam-6144	224	4	by	by	ADP
ejpam-6144	224	5	the	the	DET
ejpam-6144	224	6	dgzhlo	dgzhlo	PROPN
ejpam-6144	224	7	distribution	distribution	NOUN
ejpam-6144	224	8	,	,	PUNCT
ejpam-6144	224	9	availability	availability	NOUN
ejpam-6144	224	10	can	can	AUX
ejpam-6144	224	11	be	be	AUX
ejpam-6144	224	12	assessed	assess	VERB
ejpam-6144	224	13	by	by	ADP
ejpam-6144	224	14	analyzing	analyze	VERB
ejpam-6144	224	15	the	the	DET
ejpam-6144	224	16	system	system	NOUN
ejpam-6144	224	17	’s	’s	PART
ejpam-6144	224	18	uptime	uptime	NOUN
ejpam-6144	224	19	and	and	CCONJ
ejpam-6144	224	20	the	the	DET
ejpam-6144	224	21	time	time	NOUN
ejpam-6144	224	22	between	between	ADP
ejpam-6144	224	23	failures	failure	NOUN
ejpam-6144	224	24	,	,	PUNCT
ejpam-6144	224	25	both	both	PRON
ejpam-6144	224	26	of	of	ADP
ejpam-6144	224	27	which	which	PRON
ejpam-6144	224	28	are	be	AUX
ejpam-6144	224	29	influenced	influence	VERB
ejpam-6144	224	30	by	by	ADP
ejpam-6144	224	31	the	the	DET
ejpam-6144	224	32	model	model	NOUN
ejpam-6144	224	33	’s	’s	PART
ejpam-6144	224	34	parameters	parameter	NOUN
ejpam-6144	224	35	.	.	PUNCT
ejpam-6144	225	1	this	this	DET
ejpam-6144	225	2	evaluation	evaluation	NOUN
ejpam-6144	225	3	is	be	AUX
ejpam-6144	225	4	particularly	particularly	ADV
ejpam-6144	225	5	useful	useful	ADJ
ejpam-6144	225	6	in	in	ADP
ejpam-6144	225	7	sustainability	sustainability	NOUN
ejpam-6144	225	8	assessments	assessment	NOUN
ejpam-6144	225	9	,	,	PUNCT
ejpam-6144	225	10	where	where	SCONJ
ejpam-6144	225	11	understanding	understanding	NOUN
ejpam-6144	225	12	system	system	NOUN
ejpam-6144	225	13	reliability	reliability	NOUN
ejpam-6144	225	14	and	and	CCONJ
ejpam-6144	225	15	performance	performance	NOUN
ejpam-6144	225	16	is	be	AUX
ejpam-6144	225	17	essential	essential	ADJ
ejpam-6144	225	18	for	for	ADP
ejpam-6144	225	19	optimizing	optimize	VERB
ejpam-6144	225	20	resource	resource	NOUN
ejpam-6144	225	21	usage	usage	NOUN
ejpam-6144	225	22	and	and	CCONJ
ejpam-6144	225	23	ensuring	ensure	VERB
ejpam-6144	225	24	long	long	ADJ
ejpam-6144	225	25	-	-	PUNCT
ejpam-6144	225	26	term	term	NOUN
ejpam-6144	225	27	sustainability	sustainability	NOUN
ejpam-6144	225	28	.	.	PUNCT
ejpam-6144	226	1	the	the	DET
ejpam-6144	226	2	dgzhlo	dgzhlo	PROPN
ejpam-6144	226	3	model	model	NOUN
ejpam-6144	226	4	provides	provide	VERB
ejpam-6144	226	5	a	a	DET
ejpam-6144	226	6	framework	framework	NOUN
ejpam-6144	226	7	to	to	PART
ejpam-6144	226	8	quantify	quantify	VERB
ejpam-6144	226	9	and	and	CCONJ
ejpam-6144	226	10	manage	manage	VERB
ejpam-6144	226	11	these	these	DET
ejpam-6144	226	12	dynamics	dynamic	NOUN
ejpam-6144	226	13	,	,	PUNCT
ejpam-6144	226	14	offering	offer	VERB
ejpam-6144	226	15	valuable	valuable	ADJ
ejpam-6144	226	16	insights	insight	NOUN
ejpam-6144	226	17	into	into	ADP
ejpam-6144	226	18	system	system	NOUN
ejpam-6144	226	19	availability	availability	NOUN
ejpam-6144	226	20	in	in	ADP
ejpam-6144	226	21	sustainable	sustainable	ADJ
ejpam-6144	226	22	practices	practice	NOUN
ejpam-6144	226	23	,	,	PUNCT
ejpam-6144	226	24	where	where	SCONJ
ejpam-6144	226	25	av(t	av(t	PUNCT
ejpam-6144	226	26	)	)	PUNCT
ejpam-6144	227	1	=	=	PUNCT
ejpam-6144	227	2	−1	−1	NOUN
ejpam-6144	227	3	t	t	PROPN
ejpam-6144	227	4	γ−	γ−	VERB
ejpam-6144	227	5	1	1	NUM
ejpam-6144	227	6	τ2	τ2	NOUN
ejpam-6144	227	7	2	2	NUM
ejpam-6144	227	8	∞∑	∞∑	NUM
ejpam-6144	227	9	z=1	z=1	NUM
ejpam-6144	227	10	γ	γ	NOUN
ejpam-6144	227	11	1	1	NUM
ejpam-6144	227	12	τ2	τ2	PROPN
ejpam-6144	227	13	[	[	PUNCT
ejpam-6144	227	14	1−	1−	NUM
ejpam-6144	227	15	1−e−θ2z	1−e−θ2z	NUM
ejpam-6144	227	16	1+e−θ2z	1+e−θ2z	NOUN
ejpam-6144	227	17	]	]	PUNCT
ejpam-6144	227	18	−τ2	−τ2	SYM
ejpam-6144	227	19	2	2	NUM
ejpam-6144	227	20			NOUN
ejpam-6144	227	21	ln(γ	ln(γ	PROPN
ejpam-6144	227	22	1	1	NUM
ejpam-6144	227	23	τ1	τ1	NOUN
ejpam-6144	227	24	{	{	PUNCT
ejpam-6144	227	25	[	[	PUNCT
ejpam-6144	227	26	1−	1−	NUM
ejpam-6144	227	27	1−e−θ1(t+1	1−e−θ1(t+1	NUM
ejpam-6144	227	28	)	)	PUNCT
ejpam-6144	227	29	1+e−θ1(t+1	1+e−θ1(t+1	NUM
ejpam-6144	227	30	)	)	PUNCT
ejpam-6144	227	31	]	]	PUNCT
ejpam-6144	228	1	−τ1	−τ1	PROPN
ejpam-6144	228	2	−1	−1	NOUN
ejpam-6144	228	3	}	}	PUNCT
ejpam-6144	228	4	1	1	NUM
ejpam-6144	228	5	)	)	PUNCT
ejpam-6144	228	6			NUM
ejpam-6144	228	7	;	;	PUNCT
ejpam-6144	228	8	t	t	X
ejpam-6144	228	9	>	>	X
ejpam-6144	228	10	0	0	PROPN
ejpam-6144	228	11	.	.	PUNCT
ejpam-6144	229	1	when	when	SCONJ
ejpam-6144	229	2	utilized	utilize	VERB
ejpam-6144	229	3	within	within	ADP
ejpam-6144	229	4	the	the	DET
ejpam-6144	229	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	229	6	framework	framework	NOUN
ejpam-6144	229	7	,	,	PUNCT
ejpam-6144	229	8	these	these	DET
ejpam-6144	229	9	metrics	metric	NOUN
ejpam-6144	229	10	provide	provide	VERB
ejpam-6144	229	11	a	a	DET
ejpam-6144	229	12	comprehensive	comprehensive	ADJ
ejpam-6144	229	13	understanding	understanding	NOUN
ejpam-6144	229	14	of	of	ADP
ejpam-6144	229	15	a	a	DET
ejpam-6144	229	16	system	system	NOUN
ejpam-6144	229	17	’s	’s	PART
ejpam-6144	229	18	reliability	reliability	NOUN
ejpam-6144	229	19	and	and	CCONJ
ejpam-6144	229	20	performance	performance	NOUN
ejpam-6144	229	21	,	,	PUNCT
ejpam-6144	229	22	particularly	particularly	ADV
ejpam-6144	229	23	in	in	ADP
ejpam-6144	229	24	scenarios	scenario	NOUN
ejpam-6144	229	25	where	where	SCONJ
ejpam-6144	229	26	failure	failure	NOUN
ejpam-6144	229	27	times	time	NOUN
ejpam-6144	229	28	are	be	AUX
ejpam-6144	229	29	discrete	discrete	ADJ
ejpam-6144	229	30	and	and	CCONJ
ejpam-6144	229	31	repairs	repair	NOUN
ejpam-6144	229	32	are	be	AUX
ejpam-6144	229	33	necessary	necessary	ADJ
ejpam-6144	229	34	.	.	PUNCT
ejpam-6144	230	1	availability	availability	NOUN
ejpam-6144	230	2	represents	represent	VERB
ejpam-6144	230	3	the	the	DET
ejpam-6144	230	4	probability	probability	NOUN
ejpam-6144	230	5	that	that	SCONJ
ejpam-6144	230	6	a	a	DET
ejpam-6144	230	7	component	component	NOUN
ejpam-6144	230	8	is	be	AUX
ejpam-6144	230	9	operational	operational	ADJ
ejpam-6144	230	10	at	at	ADP
ejpam-6144	230	11	a	a	DET
ejpam-6144	230	12	given	give	VERB
ejpam-6144	230	13	time	time	NOUN
ejpam-6144	230	14	and	and	CCONJ
ejpam-6144	230	15	can	can	AUX
ejpam-6144	230	16	be	be	AUX
ejpam-6144	230	17	expressed	express	VERB
ejpam-6144	230	18	as	as	ADP
ejpam-6144	230	19	the	the	DET
ejpam-6144	230	20	ratio	ratio	NOUN
ejpam-6144	230	21	of	of	ADP
ejpam-6144	230	22	mttf	mttf	NOUN
ejpam-6144	230	23	to	to	PART
ejpam-6144	230	24	mtbf	mtbf	PROPN
ejpam-6144	230	25	.	.	PUNCT
ejpam-6144	231	1	this	this	DET
ejpam-6144	231	2	approach	approach	NOUN
ejpam-6144	231	3	allows	allow	VERB
ejpam-6144	231	4	for	for	ADP
ejpam-6144	231	5	a	a	DET
ejpam-6144	231	6	detailed	detailed	ADJ
ejpam-6144	231	7	analysis	analysis	NOUN
ejpam-6144	231	8	of	of	ADP
ejpam-6144	231	9	system	system	NOUN
ejpam-6144	231	10	behavior	behavior	NOUN
ejpam-6144	231	11	,	,	PUNCT
ejpam-6144	231	12	especially	especially	ADV
ejpam-6144	231	13	in	in	ADP
ejpam-6144	231	14	systems	system	NOUN
ejpam-6144	231	15	that	that	PRON
ejpam-6144	231	16	require	require	VERB
ejpam-6144	231	17	maintenance	maintenance	NOUN
ejpam-6144	231	18	and	and	CCONJ
ejpam-6144	231	19	have	have	VERB
ejpam-6144	231	20	discrete	discrete	ADJ
ejpam-6144	231	21	failure	failure	NOUN
ejpam-6144	231	22	events	event	NOUN
ejpam-6144	231	23	.	.	PUNCT
ejpam-6144	232	1	m.	m.	NOUN
ejpam-6144	232	2	s.	s.	PROPN
ejpam-6144	232	3	eliwa	eliwa	PROPN
ejpam-6144	232	4	,	,	PUNCT
ejpam-6144	232	5	w.	w.	PROPN
ejpam-6144	232	6	e.	e.	PROPN
ejpam-6144	232	7	alghanem	alghanem	PROPN
ejpam-6144	232	8	,	,	PUNCT
ejpam-6144	232	9	m.	m.	NOUN
ejpam-6144	232	10	a.	a.	NOUN
ejpam-6144	232	11	alenizi	alenizi	PROPN
ejpam-6144	232	12	/	/	SYM
ejpam-6144	232	13	eur	eur	PROPN
ejpam-6144	232	14	.	.	PUNCT
ejpam-6144	233	1	j.	j.	PROPN
ejpam-6144	233	2	pure	pure	PROPN
ejpam-6144	233	3	appl	appl	PROPN
ejpam-6144	233	4	.	.	PROPN
ejpam-6144	233	5	math	math	PROPN
ejpam-6144	233	6	,	,	PUNCT
ejpam-6144	233	7	18	18	NUM
ejpam-6144	233	8	(	(	PUNCT
ejpam-6144	233	9	2	2	NUM
ejpam-6144	233	10	)	)	PUNCT
ejpam-6144	233	11	(	(	PUNCT
ejpam-6144	233	12	2025	2025	NUM
ejpam-6144	233	13	)	)	PUNCT
ejpam-6144	233	14	,	,	PUNCT
ejpam-6144	233	15	6144	6144	NUM
ejpam-6144	233	16	11	11	NUM
ejpam-6144	233	17	of	of	ADP
ejpam-6144	233	18	26	26	NUM
ejpam-6144	233	19	3.4	3.4	NUM
ejpam-6144	233	20	.	.	PUNCT
ejpam-6144	234	1	order	order	NOUN
ejpam-6144	234	2	statistics	statistic	NOUN
ejpam-6144	234	3	and	and	CCONJ
ejpam-6144	234	4	l	l	NOUN
ejpam-6144	234	5	-	-	PUNCT
ejpam-6144	234	6	moment	moment	NOUN
ejpam-6144	234	7	statistics	statistic	NOUN
ejpam-6144	234	8	order	order	NOUN
ejpam-6144	234	9	statistics	statistic	NOUN
ejpam-6144	234	10	(	(	PUNCT
ejpam-6144	234	11	os	os	AUX
ejpam-6144	234	12	)	)	PUNCT
ejpam-6144	234	13	play	play	VERB
ejpam-6144	234	14	a	a	DET
ejpam-6144	234	15	significant	significant	ADJ
ejpam-6144	234	16	role	role	NOUN
ejpam-6144	234	17	in	in	ADP
ejpam-6144	234	18	various	various	ADJ
ejpam-6144	234	19	areas	area	NOUN
ejpam-6144	234	20	of	of	ADP
ejpam-6144	234	21	statistical	statistical	ADJ
ejpam-6144	234	22	theory	theory	NOUN
ejpam-6144	234	23	and	and	CCONJ
ejpam-6144	234	24	practice	practice	NOUN
ejpam-6144	234	25	.	.	PUNCT
ejpam-6144	235	1	consider	consider	VERB
ejpam-6144	235	2	a	a	DET
ejpam-6144	235	3	random	random	ADJ
ejpam-6144	235	4	sample	sample	NOUN
ejpam-6144	235	5	z1	z1	VERB
ejpam-6144	235	6	,	,	PUNCT
ejpam-6144	235	7	z2	z2	PROPN
ejpam-6144	235	8	,	,	PUNCT
ejpam-6144	235	9	...	...	PUNCT
ejpam-6144	235	10	,	,	PUNCT
ejpam-6144	235	11	zn	zn	NOUN
ejpam-6144	235	12	drawn	draw	VERB
ejpam-6144	235	13	from	from	ADP
ejpam-6144	235	14	the	the	DET
ejpam-6144	235	15	dgzhlo(z	dgzhlo(z	NOUN
ejpam-6144	235	16	;	;	PUNCT
ejpam-6144	235	17	τ	τ	PROPN
ejpam-6144	235	18	,	,	PUNCT
ejpam-6144	235	19	γ	γ	X
ejpam-6144	235	20	,	,	PUNCT
ejpam-6144	235	21	θ	θ	NOUN
ejpam-6144	235	22	)	)	PUNCT
ejpam-6144	235	23	model	model	NOUN
ejpam-6144	235	24	,	,	PUNCT
ejpam-6144	235	25	and	and	CCONJ
ejpam-6144	235	26	let	let	VERB
ejpam-6144	235	27	z1	z1	NUM
ejpam-6144	235	28	:	:	PUNCT
ejpam-6144	235	29	n	n	CCONJ
ejpam-6144	235	30	,	,	PUNCT
ejpam-6144	235	31	z2	z2	PROPN
ejpam-6144	235	32	:	:	PUNCT
ejpam-6144	235	33	n,	n,	NUM
ejpam-6144	235	34	...	...	PUNCT
ejpam-6144	235	35	,zn	,zn	PUNCT
ejpam-6144	235	36	:	:	PUNCT
ejpam-6144	235	37	n	n	CCONJ
ejpam-6144	235	38	represent	represent	VERB
ejpam-6144	235	39	the	the	DET
ejpam-6144	235	40	corresponding	correspond	VERB
ejpam-6144	235	41	order	order	NOUN
ejpam-6144	235	42	statistics	statistic	NOUN
ejpam-6144	235	43	.	.	PUNCT
ejpam-6144	236	1	the	the	DET
ejpam-6144	236	2	cdf	cdf	PROPN
ejpam-6144	236	3	for	for	ADP
ejpam-6144	236	4	the	the	DET
ejpam-6144	236	5	ith	ith	PROPN
ejpam-6144	236	6	order	order	NOUN
ejpam-6144	236	7	statistic	statistic	PROPN
ejpam-6144	236	8	zi	zi	PROPN
ejpam-6144	236	9	:	:	PUNCT
ejpam-6144	236	10	n	n	CCONJ
ejpam-6144	236	11	,	,	PUNCT
ejpam-6144	236	12	for	for	ADP
ejpam-6144	236	13	an	an	DET
ejpam-6144	236	14	integer	integer	NOUN
ejpam-6144	236	15	value	value	NOUN
ejpam-6144	236	16	of	of	ADP
ejpam-6144	236	17	z	z	PROPN
ejpam-6144	236	18	,	,	PUNCT
ejpam-6144	236	19	can	can	AUX
ejpam-6144	236	20	be	be	AUX
ejpam-6144	236	21	expressed	express	VERB
ejpam-6144	236	22	as	as	SCONJ
ejpam-6144	236	23	follows	follow	VERB
ejpam-6144	236	24	fi	fi	NOUN
ejpam-6144	236	25	:	:	PUNCT
ejpam-6144	236	26	n(z	n(z	NOUN
ejpam-6144	236	27	;	;	PUNCT
ejpam-6144	236	28	γ	γ	X
ejpam-6144	236	29	,	,	PUNCT
ejpam-6144	236	30	τ	τ	PROPN
ejpam-6144	236	31	,	,	PUNCT
ejpam-6144	236	32	θ	θ	NOUN
ejpam-6144	236	33	)	)	PUNCT
ejpam-6144	236	34	=	=	SYM
ejpam-6144	236	35	n∑	n∑	NOUN
ejpam-6144	236	36	k	k	X
ejpam-6144	237	1	=	=	NOUN
ejpam-6144	237	2	i	i	PROPN
ejpam-6144	237	3	(	(	PUNCT
ejpam-6144	237	4	n	n	NOUN
ejpam-6144	237	5	k	k	NOUN
ejpam-6144	237	6	)	)	PUNCT
ejpam-6144	238	1	[	[	X
ejpam-6144	238	2	fi(z	fi(z	NOUN
ejpam-6144	238	3	;	;	PUNCT
ejpam-6144	238	4	γ	γ	X
ejpam-6144	238	5	,	,	PUNCT
ejpam-6144	238	6	τ	τ	PROPN
ejpam-6144	238	7	,	,	PUNCT
ejpam-6144	238	8	θ	θ	PROPN
ejpam-6144	238	9	)	)	PUNCT
ejpam-6144	238	10	]	]	PUNCT
ejpam-6144	239	1	k	k	X
ejpam-6144	240	1	[	[	X
ejpam-6144	240	2	1−	1−	NUM
ejpam-6144	240	3	fi(z	fi(z	NOUN
ejpam-6144	240	4	;	;	PUNCT
ejpam-6144	240	5	γ	γ	X
ejpam-6144	240	6	,	,	PUNCT
ejpam-6144	240	7	τ	τ	PROPN
ejpam-6144	240	8	,	,	PUNCT
ejpam-6144	240	9	θ	θ	PROPN
ejpam-6144	240	10	)	)	PUNCT
ejpam-6144	240	11	]	]	PUNCT
ejpam-6144	240	12	n−k	n−k	NOUN
ejpam-6144	240	13	=	=	SYM
ejpam-6144	240	14	n∑	n∑	NOUN
ejpam-6144	240	15	k	k	X
ejpam-6144	241	1	=	=	ADJ
ejpam-6144	241	2	i	i	PROPN
ejpam-6144	241	3	n−k∑	n−k∑	NOUN
ejpam-6144	241	4	j=0	j=0	X
ejpam-6144	241	5	∆j	∆j	PROPN
ejpam-6144	241	6	(	(	PUNCT
ejpam-6144	241	7	n	n	X
ejpam-6144	241	8	,	,	PUNCT
ejpam-6144	241	9	k	k	NOUN
ejpam-6144	241	10	)	)	PUNCT
ejpam-6144	242	1	[	[	X
ejpam-6144	242	2	fi(z	fi(z	NOUN
ejpam-6144	242	3	;	;	PUNCT
ejpam-6144	242	4	γ	γ	X
ejpam-6144	242	5	,	,	PUNCT
ejpam-6144	242	6	τ	τ	PROPN
ejpam-6144	242	7	,	,	PUNCT
ejpam-6144	242	8	θ	θ	PROPN
ejpam-6144	242	9	)	)	PUNCT
ejpam-6144	242	10	]	]	PUNCT
ejpam-6144	243	1	k+j	k+j	PROPN
ejpam-6144	243	2	=	=	PUNCT
ejpam-6144	244	1	n∑	n∑	PROPN
ejpam-6144	244	2	k	k	X
ejpam-6144	245	1	=	=	ADJ
ejpam-6144	245	2	i	i	PROPN
ejpam-6144	245	3	n−k∑	n−k∑	NOUN
ejpam-6144	245	4	j=0	j=0	X
ejpam-6144	245	5	∆j	∆j	PROPN
ejpam-6144	245	6	(	(	PUNCT
ejpam-6144	245	7	n	n	X
ejpam-6144	245	8	,	,	PUNCT
ejpam-6144	245	9	k	k	NOUN
ejpam-6144	245	10	)	)	PUNCT
ejpam-6144	245	11	1−	1−	PROPN
ejpam-6144	245	12	γ	γ	X
ejpam-6144	245	13	1	1	NUM
ejpam-6144	245	14	τ	τ	X
ejpam-6144	245	15	{	{	PUNCT
ejpam-6144	245	16	[	[	PUNCT
ejpam-6144	245	17	1−	1−	NUM
ejpam-6144	245	18	1−e−θ(z+1	1−e−θ(z+1	NUM
ejpam-6144	245	19	)	)	PUNCT
ejpam-6144	245	20	1+e−θ(z+1	1+e−θ(z+1	NUM
ejpam-6144	245	21	)	)	PUNCT
ejpam-6144	245	22	]	]	PUNCT
ejpam-6144	245	23	−τ	−τ	ADV
ejpam-6144	245	24	−1	−1	NOUN
ejpam-6144	245	25	}	}	PUNCT
ejpam-6144	245	26			NUM
ejpam-6144	245	27	k+j	k+j	PROPN
ejpam-6144	245	28	,	,	PUNCT
ejpam-6144	245	29	(	(	PUNCT
ejpam-6144	245	30	20	20	NUM
ejpam-6144	245	31	)	)	PUNCT
ejpam-6144	245	32	where	where	SCONJ
ejpam-6144	245	33	∆j	∆j	PROPN
ejpam-6144	245	34	(	(	PUNCT
ejpam-6144	245	35	n	n	CCONJ
ejpam-6144	245	36	,	,	PUNCT
ejpam-6144	245	37	k	k	NOUN
ejpam-6144	245	38	)	)	PUNCT
ejpam-6144	245	39	=	=	SYM
ejpam-6144	245	40	(	(	PUNCT
ejpam-6144	245	41	−1)j	−1)j	X
ejpam-6144	245	42	(	(	PUNCT
ejpam-6144	245	43	n	n	X
ejpam-6144	245	44	k	k	NOUN
ejpam-6144	245	45	)	)	PUNCT
ejpam-6144	245	46	(	(	PUNCT
ejpam-6144	245	47	n−	n−	NOUN
ejpam-6144	245	48	k	k	PROPN
ejpam-6144	245	49	j	j	PROPN
ejpam-6144	245	50	)	)	PUNCT
ejpam-6144	245	51	.	.	PUNCT
ejpam-6144	246	1	the	the	DET
ejpam-6144	246	2	corresponding	correspond	VERB
ejpam-6144	246	3	pmf	pmf	NOUN
ejpam-6144	246	4	of	of	ADP
ejpam-6144	246	5	the	the	DET
ejpam-6144	246	6	ith	ith	PROPN
ejpam-6144	246	7	os	os	PROPN
ejpam-6144	246	8	,	,	PUNCT
ejpam-6144	246	9	as	as	SCONJ
ejpam-6144	246	10	given	give	VERB
ejpam-6144	246	11	by	by	ADP
ejpam-6144	246	12	equation	equation	NOUN
ejpam-6144	246	13	(	(	PUNCT
ejpam-6144	246	14	9	9	NUM
ejpam-6144	246	15	)	)	PUNCT
ejpam-6144	246	16	,	,	PUNCT
ejpam-6144	246	17	can	can	AUX
ejpam-6144	246	18	be	be	AUX
ejpam-6144	246	19	represented	represent	VERB
ejpam-6144	246	20	as	as	ADP
ejpam-6144	246	21	fi	fi	NOUN
ejpam-6144	246	22	:	:	PUNCT
ejpam-6144	246	23	n(z	n(z	NOUN
ejpam-6144	246	24	;	;	PUNCT
ejpam-6144	246	25	γ	γ	X
ejpam-6144	246	26	,	,	PUNCT
ejpam-6144	246	27	τ	τ	PROPN
ejpam-6144	246	28	,	,	PUNCT
ejpam-6144	246	29	ω	ω	NOUN
ejpam-6144	246	30	)	)	PUNCT
ejpam-6144	246	31	=	=	SYM
ejpam-6144	247	1	n∑	n∑	NOUN
ejpam-6144	247	2	k	k	X
ejpam-6144	248	1	=	=	AUX
ejpam-6144	248	2	i	i	PROPN
ejpam-6144	248	3	n−k∑	n−k∑	NOUN
ejpam-6144	248	4	j=0	j=0	VERB
ejpam-6144	248	5	k+j∑	k+j∑	PROPN
ejpam-6144	248	6	m=0	m=0	PROPN
ejpam-6144	248	7	∆	∆	PROPN
ejpam-6144	248	8	(	(	PUNCT
ejpam-6144	248	9	m	m	PROPN
ejpam-6144	248	10	,	,	PUNCT
ejpam-6144	248	11	j	j	NOUN
ejpam-6144	248	12	)	)	PUNCT
ejpam-6144	248	13	(	(	PUNCT
ejpam-6144	248	14	n	n	X
ejpam-6144	248	15	,	,	PUNCT
ejpam-6144	248	16	k	k	NOUN
ejpam-6144	248	17	)	)	PUNCT
ejpam-6144	248	18	f(z	f(z	PROPN
ejpam-6144	248	19	;	;	PUNCT
ejpam-6144	248	20	γ	γ	PROPN
ejpam-6144	248	21	m	m	PROPN
ejpam-6144	248	22	,	,	PUNCT
ejpam-6144	248	23	τ	τ	PROPN
ejpam-6144	248	24	,	,	PUNCT
ejpam-6144	248	25	θ	θ	PROPN
ejpam-6144	248	26	)	)	PUNCT
ejpam-6144	248	27	,	,	PUNCT
ejpam-6144	248	28	(	(	PUNCT
ejpam-6144	248	29	21	21	NUM
ejpam-6144	248	30	)	)	PUNCT
ejpam-6144	249	1	where	where	SCONJ
ejpam-6144	249	2	∆	∆	PROPN
ejpam-6144	249	3	(	(	PUNCT
ejpam-6144	249	4	m	m	PROPN
ejpam-6144	249	5	,	,	PUNCT
ejpam-6144	249	6	j	j	NOUN
ejpam-6144	249	7	)	)	PUNCT
ejpam-6144	249	8	(	(	PUNCT
ejpam-6144	249	9	n	n	X
ejpam-6144	249	10	,	,	PUNCT
ejpam-6144	249	11	k	k	NOUN
ejpam-6144	249	12	)	)	PUNCT
ejpam-6144	249	13	=	=	SYM
ejpam-6144	249	14	(	(	PUNCT
ejpam-6144	249	15	−1)j+m	−1)j+m	X
ejpam-6144	249	16	(	(	PUNCT
ejpam-6144	249	17	n	n	NOUN
ejpam-6144	249	18	k	k	NOUN
ejpam-6144	249	19	)	)	PUNCT
ejpam-6144	249	20	(	(	PUNCT
ejpam-6144	249	21	n−	n−	NOUN
ejpam-6144	249	22	k	k	PROPN
ejpam-6144	249	23	j	j	PROPN
ejpam-6144	249	24	)	)	PUNCT
ejpam-6144	249	25	(	(	PUNCT
ejpam-6144	249	26	k	k	PROPN
ejpam-6144	249	27	+	+	CCONJ
ejpam-6144	249	28	j	j	PROPN
ejpam-6144	249	29	m	m	PROPN
ejpam-6144	249	30	)	)	PUNCT
ejpam-6144	249	31	.	.	PUNCT
ejpam-6144	249	32	thus	thus	ADV
ejpam-6144	249	33	,	,	PUNCT
ejpam-6144	249	34	the	the	DET
ejpam-6144	249	35	uth	uth	ADJ
ejpam-6144	249	36	moment	moment	NOUN
ejpam-6144	249	37	of	of	ADP
ejpam-6144	249	38	zi	zi	NOUN
ejpam-6144	249	39	:	:	PUNCT
ejpam-6144	249	40	n	n	CCONJ
ejpam-6144	249	41	can	can	AUX
ejpam-6144	249	42	be	be	AUX
ejpam-6144	249	43	written	write	VERB
ejpam-6144	249	44	as	as	ADP
ejpam-6144	249	45	ψu	ψu	NOUN
ejpam-6144	249	46	i	i	NOUN
ejpam-6144	249	47	:	:	PUNCT
ejpam-6144	249	48	n	n	NOUN
ejpam-6144	249	49	=	=	SYM
ejpam-6144	249	50	e(zu	e(zu	PROPN
ejpam-6144	249	51	i	i	PRON
ejpam-6144	249	52	:	:	PUNCT
ejpam-6144	249	53	n	n	CCONJ
ejpam-6144	249	54	)	)	PUNCT
ejpam-6144	249	55	=	=	PUNCT
ejpam-6144	250	1	∞∑	∞∑	NUM
ejpam-6144	250	2	z=0	z=0	NUM
ejpam-6144	250	3	n∑	n∑	NOUN
ejpam-6144	250	4	k	k	X
ejpam-6144	251	1	=	=	AUX
ejpam-6144	251	2	i	i	PROPN
ejpam-6144	251	3	n−k∑	n−k∑	NOUN
ejpam-6144	251	4	j=0	j=0	VERB
ejpam-6144	251	5	k+j∑	k+j∑	PROPN
ejpam-6144	251	6	m=0	m=0	PROPN
ejpam-6144	251	7	∆	∆	PROPN
ejpam-6144	251	8	(	(	PUNCT
ejpam-6144	251	9	m	m	PROPN
ejpam-6144	251	10	,	,	PUNCT
ejpam-6144	251	11	j	j	NOUN
ejpam-6144	251	12	)	)	PUNCT
ejpam-6144	251	13	(	(	PUNCT
ejpam-6144	251	14	n	n	X
ejpam-6144	251	15	,	,	PUNCT
ejpam-6144	251	16	k	k	NOUN
ejpam-6144	251	17	)	)	PUNCT
ejpam-6144	251	18	z	z	NOUN
ejpam-6144	251	19	uf(z	uf(z	NUM
ejpam-6144	251	20	;	;	PUNCT
ejpam-6144	251	21	γm	γm	X
ejpam-6144	251	22	,	,	PUNCT
ejpam-6144	251	23	τ	τ	PROPN
ejpam-6144	251	24	,	,	PUNCT
ejpam-6144	251	25	θ	θ	PROPN
ejpam-6144	251	26	)	)	PUNCT
ejpam-6144	251	27	.	.	PUNCT
ejpam-6144	252	1	(	(	PUNCT
ejpam-6144	252	2	22	22	NUM
ejpam-6144	252	3	)	)	PUNCT
ejpam-6144	252	4	l	l	NOUN
ejpam-6144	252	5	-	-	PUNCT
ejpam-6144	252	6	moments	moment	NOUN
ejpam-6144	252	7	(	(	PUNCT
ejpam-6144	252	8	lms	lm	NOUN
ejpam-6144	252	9	)	)	PUNCT
ejpam-6144	252	10	are	be	AUX
ejpam-6144	252	11	calculated	calculate	VERB
ejpam-6144	252	12	as	as	ADP
ejpam-6144	252	13	linear	linear	ADJ
ejpam-6144	252	14	combinations	combination	NOUN
ejpam-6144	252	15	of	of	ADP
ejpam-6144	252	16	order	order	NOUN
ejpam-6144	252	17	statistics	statistic	NOUN
ejpam-6144	252	18	(	(	PUNCT
ejpam-6144	252	19	os	os	NOUN
ejpam-6144	252	20	)	)	PUNCT
ejpam-6144	252	21	.	.	PUNCT
ejpam-6144	253	1	introduced	introduce	VERB
ejpam-6144	253	2	by	by	ADP
ejpam-6144	253	3	hosking	hosking	PROPN
ejpam-6144	253	4	and	and	CCONJ
ejpam-6144	253	5	wallis	wallis	PROPN
ejpam-6144	254	1	[	[	X
ejpam-6144	254	2	9	9	NUM
ejpam-6144	254	3	]	]	PUNCT
ejpam-6144	254	4	,	,	PUNCT
ejpam-6144	254	5	lms	lm	NOUN
ejpam-6144	254	6	serve	serve	VERB
ejpam-6144	254	7	to	to	PART
ejpam-6144	254	8	summarize	summarize	VERB
ejpam-6144	254	9	both	both	DET
ejpam-6144	254	10	theoretical	theoretical	ADJ
ejpam-6144	254	11	distributions	distribution	NOUN
ejpam-6144	254	12	and	and	CCONJ
ejpam-6144	254	13	observed	observe	VERB
ejpam-6144	254	14	data	data	NOUN
ejpam-6144	254	15	samples	sample	NOUN
ejpam-6144	254	16	.	.	PUNCT
ejpam-6144	255	1	lm	lm	PROPN
ejpam-6144	255	2	statistics	statistic	NOUN
ejpam-6144	255	3	are	be	AUX
ejpam-6144	255	4	widely	widely	ADV
ejpam-6144	255	5	used	use	VERB
ejpam-6144	255	6	to	to	PART
ejpam-6144	255	7	compute	compute	VERB
ejpam-6144	255	8	sample	sample	NOUN
ejpam-6144	255	9	statistics	statistic	NOUN
ejpam-6144	255	10	for	for	ADP
ejpam-6144	255	11	data	datum	NOUN
ejpam-6144	255	12	from	from	ADP
ejpam-6144	255	13	specific	specific	ADJ
ejpam-6144	255	14	regions	region	NOUN
ejpam-6144	255	15	or	or	CCONJ
ejpam-6144	255	16	to	to	PART
ejpam-6144	255	17	assess	assess	VERB
ejpam-6144	255	18	the	the	DET
ejpam-6144	255	19	homogeneity	homogeneity	NOUN
ejpam-6144	255	20	or	or	CCONJ
ejpam-6144	255	21	heterogeneity	heterogeneity	NOUN
ejpam-6144	255	22	of	of	ADP
ejpam-6144	255	23	proposed	propose	VERB
ejpam-6144	255	24	groupings	grouping	NOUN
ejpam-6144	255	25	of	of	ADP
ejpam-6144	255	26	sites	site	NOUN
ejpam-6144	255	27	.	.	PUNCT
ejpam-6144	256	1	let	let	AUX
ejpam-6144	256	2	z(i|n	z(i|n	NUM
ejpam-6144	256	3	)	)	PUNCT
ejpam-6144	256	4	be	be	AUX
ejpam-6144	256	5	ith	ith	ADP
ejpam-6144	256	6	largest	large	ADJ
ejpam-6144	256	7	observations	observation	NOUN
ejpam-6144	256	8	in	in	ADP
ejpam-6144	256	9	sample	sample	NOUN
ejpam-6144	256	10	of	of	ADP
ejpam-6144	256	11	size	size	NOUN
ejpam-6144	256	12	n	n	CCONJ
ejpam-6144	256	13	,	,	PUNCT
ejpam-6144	256	14	then	then	ADV
ejpam-6144	256	15	the	the	DET
ejpam-6144	256	16	lms	lm	NOUN
ejpam-6144	256	17	can	can	AUX
ejpam-6144	256	18	be	be	AUX
ejpam-6144	256	19	take	take	VERB
ejpam-6144	256	20	the	the	DET
ejpam-6144	256	21	form	form	NOUN
ejpam-6144	256	22	λ∗r	λ∗r	X
ejpam-6144	256	23	=	=	SYM
ejpam-6144	256	24	1	1	NUM
ejpam-6144	256	25	r	r	NOUN
ejpam-6144	256	26	r−1∑	r−1∑	PROPN
ejpam-6144	256	27	s=0	s=0	PROPN
ejpam-6144	256	28	(	(	PUNCT
ejpam-6144	256	29	−1)s	−1)s	X
ejpam-6144	256	30	(	(	PUNCT
ejpam-6144	256	31	r	r	NOUN
ejpam-6144	256	32	−	−	PROPN
ejpam-6144	256	33	1	1	NUM
ejpam-6144	256	34	s	s	PART
ejpam-6144	256	35	)	)	PUNCT
ejpam-6144	256	36	e	e	NOUN
ejpam-6144	256	37	(	(	PUNCT
ejpam-6144	256	38	zr−s	zr−s	NOUN
ejpam-6144	256	39	:	:	PUNCT
ejpam-6144	256	40	r	r	NOUN
ejpam-6144	256	41	)	)	PUNCT
ejpam-6144	256	42	.	.	PUNCT
ejpam-6144	257	1	(	(	PUNCT
ejpam-6144	257	2	23	23	NUM
ejpam-6144	257	3	)	)	PUNCT
ejpam-6144	257	4	from	from	ADP
ejpam-6144	257	5	equation	equation	NOUN
ejpam-6144	257	6	(	(	PUNCT
ejpam-6144	257	7	23	23	NUM
ejpam-6144	257	8	)	)	PUNCT
ejpam-6144	257	9	,	,	PUNCT
ejpam-6144	257	10	we	we	PRON
ejpam-6144	257	11	get	get	VERB
ejpam-6144	257	12	λ∗1	λ∗1	ADJ
ejpam-6144	257	13	=	=	PUNCT
ejpam-6144	257	14	e(z1:1	e(z1:1	NOUN
ejpam-6144	257	15	)	)	PUNCT
ejpam-6144	257	16	,	,	PUNCT
ejpam-6144	257	17	λ	λ	PROPN
ejpam-6144	257	18	∗	∗	NOUN
ejpam-6144	257	19	2	2	NUM
ejpam-6144	257	20	=	=	SYM
ejpam-6144	257	21	1	1	NUM
ejpam-6144	257	22	2e	2e	NOUN
ejpam-6144	257	23	(	(	PUNCT
ejpam-6144	257	24	z2:2	z2:2	NOUN
ejpam-6144	257	25	+	+	CCONJ
ejpam-6144	257	26	z1:2	z1:2	NOUN
ejpam-6144	257	27	)	)	PUNCT
ejpam-6144	257	28	,	,	PUNCT
ejpam-6144	257	29	λ	λ	PROPN
ejpam-6144	257	30	∗	∗	NOUN
ejpam-6144	257	31	3	3	NUM
ejpam-6144	257	32	=	=	SYM
ejpam-6144	257	33	1	1	NUM
ejpam-6144	257	34	3	3	NUM
ejpam-6144	257	35	[	[	X
ejpam-6144	257	36	e	e	X
ejpam-6144	257	37	(	(	PUNCT
ejpam-6144	257	38	z3:3	z3:3	PROPN
ejpam-6144	257	39	−	−	PROPN
ejpam-6144	257	40	z2:3)−	z2:3)−	PROPN
ejpam-6144	257	41	e	e	X
ejpam-6144	257	42	(	(	PUNCT
ejpam-6144	257	43	z2:3	z2:3	PROPN
ejpam-6144	257	44	+	+	CCONJ
ejpam-6144	257	45	z1:3	z1:3	NOUN
ejpam-6144	257	46	)	)	PUNCT
ejpam-6144	257	47	]	]	PUNCT
ejpam-6144	257	48	and	and	CCONJ
ejpam-6144	257	49	λ∗4	λ∗4	NOUN
ejpam-6144	257	50	=	=	SYM
ejpam-6144	257	51	1	1	NUM
ejpam-6144	257	52	4	4	NUM
ejpam-6144	257	53	{	{	PUNCT
ejpam-6144	257	54	e	e	X
ejpam-6144	257	55	[	[	X
ejpam-6144	257	56	(	(	PUNCT
ejpam-6144	257	57	z4:4	z4:4	PROPN
ejpam-6144	257	58	−	−	PROPN
ejpam-6144	257	59	z3:4	z3:4	PROPN
ejpam-6144	257	60	)	)	PUNCT
ejpam-6144	258	1	+	+	CCONJ
ejpam-6144	258	2	(	(	PUNCT
ejpam-6144	258	3	z2:4	z2:4	X
ejpam-6144	258	4	−	−	PROPN
ejpam-6144	258	5	z1:4)]−	z1:4)]−	PROPN
ejpam-6144	258	6	2e	2e	PROPN
ejpam-6144	258	7	(	(	PUNCT
ejpam-6144	258	8	z3:4	z3:4	PROPN
ejpam-6144	258	9	−	−	PROPN
ejpam-6144	258	10	z2:4	z2:4	NOUN
ejpam-6144	258	11	)	)	PUNCT
ejpam-6144	258	12	}	}	PUNCT
ejpam-6144	258	13	.	.	PUNCT
ejpam-6144	259	1	then	then	ADV
ejpam-6144	259	2	,	,	PUNCT
ejpam-6144	259	3	we	we	PRON
ejpam-6144	259	4	can	can	AUX
ejpam-6144	259	5	define	define	VERB
ejpam-6144	259	6	some	some	DET
ejpam-6144	259	7	statistical	statistical	ADJ
ejpam-6144	259	8	measures	measure	NOUN
ejpam-6144	259	9	such	such	ADJ
ejpam-6144	259	10	as	as	ADP
ejpam-6144	259	11	lm	lm	INTJ
ejpam-6144	259	12	of	of	ADP
ejpam-6144	259	13	mean	mean	ADJ
ejpam-6144	259	14	,	,	PUNCT
ejpam-6144	259	15	lm	lm	INTJ
ejpam-6144	259	16	coefficient	coefficient	NOUN
ejpam-6144	259	17	of	of	ADP
ejpam-6144	259	18	variation	variation	NOUN
ejpam-6144	259	19	,	,	PUNCT
ejpam-6144	259	20	m.	m.	NOUN
ejpam-6144	259	21	s.	s.	PROPN
ejpam-6144	259	22	eliwa	eliwa	PROPN
ejpam-6144	259	23	,	,	PUNCT
ejpam-6144	259	24	w.	w.	PROPN
ejpam-6144	259	25	e.	e.	PROPN
ejpam-6144	259	26	alghanem	alghanem	PROPN
ejpam-6144	259	27	,	,	PUNCT
ejpam-6144	259	28	m.	m.	NOUN
ejpam-6144	259	29	a.	a.	NOUN
ejpam-6144	259	30	alenizi	alenizi	PROPN
ejpam-6144	259	31	/	/	SYM
ejpam-6144	259	32	eur	eur	PROPN
ejpam-6144	259	33	.	.	PUNCT
ejpam-6144	260	1	j.	j.	PROPN
ejpam-6144	260	2	pure	pure	PROPN
ejpam-6144	260	3	appl	appl	PROPN
ejpam-6144	260	4	.	.	PROPN
ejpam-6144	260	5	math	math	PROPN
ejpam-6144	260	6	,	,	PUNCT
ejpam-6144	260	7	18	18	NUM
ejpam-6144	260	8	(	(	PUNCT
ejpam-6144	260	9	2	2	NUM
ejpam-6144	260	10	)	)	PUNCT
ejpam-6144	260	11	(	(	PUNCT
ejpam-6144	260	12	2025	2025	NUM
ejpam-6144	260	13	)	)	PUNCT
ejpam-6144	260	14	,	,	PUNCT
ejpam-6144	260	15	6144	6144	NUM
ejpam-6144	260	16	12	12	NUM
ejpam-6144	260	17	of	of	ADP
ejpam-6144	260	18	26	26	NUM
ejpam-6144	260	19	lm	lm	ADJ
ejpam-6144	260	20	coefficient	coefficient	NOUN
ejpam-6144	260	21	of	of	ADP
ejpam-6144	260	22	sk	sk	NOUN
ejpam-6144	260	23	and	and	CCONJ
ejpam-6144	260	24	lm	lm	INTJ
ejpam-6144	260	25	coefficient	coefficient	NOUN
ejpam-6144	260	26	of	of	ADP
ejpam-6144	260	27	ku	ku	PROPN
ejpam-6144	260	28	in	in	ADP
ejpam-6144	260	29	the	the	DET
ejpam-6144	260	30	form	form	NOUN
ejpam-6144	260	31	λ∗1	λ∗1	NOUN
ejpam-6144	260	32	,	,	PUNCT
ejpam-6144	260	33	λ∗	λ∗	NOUN
ejpam-6144	260	34	2	2	NUM
ejpam-6144	260	35	λ∗	λ∗	NOUN
ejpam-6144	260	36	1	1	NUM
ejpam-6144	260	37	,	,	PUNCT
ejpam-6144	260	38	λ∗	λ∗	NOUN
ejpam-6144	260	39	3	3	NUM
ejpam-6144	260	40	λ∗	λ∗	NOUN
ejpam-6144	260	41	2	2	NUM
ejpam-6144	260	42	and	and	CCONJ
ejpam-6144	260	43	λ∗	λ∗	PROPN
ejpam-6144	260	44	4	4	NUM
ejpam-6144	260	45	λ∗	λ∗	NOUN
ejpam-6144	260	46	2	2	NUM
ejpam-6144	260	47	,	,	PUNCT
ejpam-6144	260	48	respectively	respectively	ADV
ejpam-6144	260	49	.	.	PUNCT
ejpam-6144	261	1	the	the	DET
ejpam-6144	261	2	implementation	implementation	NOUN
ejpam-6144	261	3	of	of	ADP
ejpam-6144	261	4	l	l	NOUN
ejpam-6144	261	5	-	-	NOUN
ejpam-6144	261	6	moments	moment	NOUN
ejpam-6144	261	7	in	in	ADP
ejpam-6144	261	8	the	the	DET
ejpam-6144	261	9	dgzhlo	dgzhlo	PROPN
ejpam-6144	261	10	model	model	NOUN
ejpam-6144	261	11	involves	involve	VERB
ejpam-6144	261	12	using	use	VERB
ejpam-6144	261	13	linear	linear	ADJ
ejpam-6144	261	14	combinations	combination	NOUN
ejpam-6144	261	15	of	of	ADP
ejpam-6144	261	16	order	order	NOUN
ejpam-6144	261	17	statistics	statistic	NOUN
ejpam-6144	261	18	to	to	PART
ejpam-6144	261	19	capture	capture	VERB
ejpam-6144	261	20	key	key	ADJ
ejpam-6144	261	21	features	feature	NOUN
ejpam-6144	261	22	of	of	ADP
ejpam-6144	261	23	the	the	DET
ejpam-6144	261	24	distribution	distribution	NOUN
ejpam-6144	261	25	,	,	PUNCT
ejpam-6144	261	26	such	such	ADJ
ejpam-6144	261	27	as	as	ADP
ejpam-6144	261	28	location	location	NOUN
ejpam-6144	261	29	,	,	PUNCT
ejpam-6144	261	30	dispersion	dispersion	NOUN
ejpam-6144	261	31	,	,	PUNCT
ejpam-6144	261	32	skewness	skewness	NOUN
ejpam-6144	261	33	,	,	PUNCT
ejpam-6144	261	34	and	and	CCONJ
ejpam-6144	261	35	kurtosis	kurtosis	NOUN
ejpam-6144	261	36	.	.	PUNCT
ejpam-6144	262	1	these	these	DET
ejpam-6144	262	2	moments	moment	NOUN
ejpam-6144	262	3	are	be	AUX
ejpam-6144	262	4	particularly	particularly	ADV
ejpam-6144	262	5	useful	useful	ADJ
ejpam-6144	262	6	for	for	ADP
ejpam-6144	262	7	modeling	model	VERB
ejpam-6144	262	8	discrete	discrete	ADJ
ejpam-6144	262	9	probability	probability	NOUN
ejpam-6144	262	10	distributions	distribution	NOUN
ejpam-6144	262	11	,	,	PUNCT
ejpam-6144	262	12	as	as	SCONJ
ejpam-6144	262	13	they	they	PRON
ejpam-6144	262	14	provide	provide	VERB
ejpam-6144	262	15	a	a	DET
ejpam-6144	262	16	robust	robust	ADJ
ejpam-6144	262	17	way	way	NOUN
ejpam-6144	262	18	to	to	PART
ejpam-6144	262	19	characterize	characterize	VERB
ejpam-6144	262	20	the	the	DET
ejpam-6144	262	21	distribution	distribution	NOUN
ejpam-6144	262	22	’s	’s	PART
ejpam-6144	262	23	shape	shape	NOUN
ejpam-6144	262	24	,	,	PUNCT
ejpam-6144	262	25	especially	especially	ADV
ejpam-6144	262	26	in	in	ADP
ejpam-6144	262	27	the	the	DET
ejpam-6144	262	28	presence	presence	NOUN
ejpam-6144	262	29	of	of	ADP
ejpam-6144	262	30	heavy	heavy	ADJ
ejpam-6144	262	31	tails	tail	NOUN
ejpam-6144	262	32	or	or	CCONJ
ejpam-6144	262	33	skewed	skewed	ADJ
ejpam-6144	262	34	data	datum	NOUN
ejpam-6144	262	35	.	.	PUNCT
ejpam-6144	263	1	in	in	ADP
ejpam-6144	263	2	the	the	DET
ejpam-6144	263	3	context	context	NOUN
ejpam-6144	263	4	of	of	ADP
ejpam-6144	263	5	the	the	DET
ejpam-6144	263	6	dgzhlo	dgzhlo	PROPN
ejpam-6144	263	7	model	model	NOUN
ejpam-6144	263	8	,	,	PUNCT
ejpam-6144	263	9	l	l	NOUN
ejpam-6144	263	10	-	-	NOUN
ejpam-6144	263	11	moments	moment	NOUN
ejpam-6144	263	12	are	be	AUX
ejpam-6144	263	13	calculated	calculate	VERB
ejpam-6144	263	14	from	from	ADP
ejpam-6144	263	15	the	the	DET
ejpam-6144	263	16	order	order	NOUN
ejpam-6144	263	17	statistics	statistic	NOUN
ejpam-6144	263	18	of	of	ADP
ejpam-6144	263	19	the	the	DET
ejpam-6144	263	20	data	datum	NOUN
ejpam-6144	263	21	,	,	PUNCT
ejpam-6144	263	22	which	which	PRON
ejpam-6144	263	23	helps	help	VERB
ejpam-6144	263	24	in	in	ADP
ejpam-6144	263	25	estimating	estimate	VERB
ejpam-6144	263	26	the	the	DET
ejpam-6144	263	27	model	model	NOUN
ejpam-6144	263	28	’s	’s	PART
ejpam-6144	263	29	parameters	parameter	NOUN
ejpam-6144	263	30	.	.	PUNCT
ejpam-6144	264	1	by	by	ADP
ejpam-6144	264	2	comparing	compare	VERB
ejpam-6144	264	3	the	the	DET
ejpam-6144	264	4	sample	sample	NOUN
ejpam-6144	264	5	l	l	NOUN
ejpam-6144	264	6	-	-	NOUN
ejpam-6144	264	7	moments	moment	NOUN
ejpam-6144	264	8	to	to	ADP
ejpam-6144	264	9	the	the	DET
ejpam-6144	264	10	theoretical	theoretical	ADJ
ejpam-6144	264	11	l	l	NOUN
ejpam-6144	264	12	-	-	NOUN
ejpam-6144	264	13	moments	moment	NOUN
ejpam-6144	264	14	of	of	ADP
ejpam-6144	264	15	the	the	DET
ejpam-6144	264	16	dgzhlo	dgzhlo	PROPN
ejpam-6144	264	17	model	model	NOUN
ejpam-6144	264	18	,	,	PUNCT
ejpam-6144	264	19	the	the	DET
ejpam-6144	264	20	parameters	parameter	NOUN
ejpam-6144	264	21	are	be	AUX
ejpam-6144	264	22	adjusted	adjust	VERB
ejpam-6144	264	23	to	to	PART
ejpam-6144	264	24	best	well	ADV
ejpam-6144	264	25	fit	fit	VERB
ejpam-6144	264	26	the	the	DET
ejpam-6144	264	27	data	datum	NOUN
ejpam-6144	264	28	.	.	PUNCT
ejpam-6144	265	1	this	this	DET
ejpam-6144	265	2	method	method	NOUN
ejpam-6144	265	3	enhances	enhance	VERB
ejpam-6144	265	4	the	the	DET
ejpam-6144	265	5	model	model	NOUN
ejpam-6144	265	6	’s	’s	PART
ejpam-6144	265	7	ability	ability	NOUN
ejpam-6144	265	8	to	to	PART
ejpam-6144	265	9	accurately	accurately	ADV
ejpam-6144	265	10	represent	represent	VERB
ejpam-6144	265	11	sustainabilityrelated	sustainabilityrelate	VERB
ejpam-6144	265	12	or	or	CCONJ
ejpam-6144	265	13	other	other	ADJ
ejpam-6144	265	14	real	real	ADJ
ejpam-6144	265	15	-	-	PUNCT
ejpam-6144	265	16	world	world	NOUN
ejpam-6144	265	17	data	datum	NOUN
ejpam-6144	265	18	while	while	SCONJ
ejpam-6144	265	19	maintaining	maintain	VERB
ejpam-6144	265	20	robustness	robustness	NOUN
ejpam-6144	265	21	to	to	ADP
ejpam-6144	265	22	extreme	extreme	ADJ
ejpam-6144	265	23	values	value	NOUN
ejpam-6144	265	24	.	.	PUNCT
ejpam-6144	266	1	4	4	X
ejpam-6144	266	2	.	.	X
ejpam-6144	266	3	maximum	maximum	ADJ
ejpam-6144	266	4	likelihood	likelihood	NOUN
ejpam-6144	266	5	estimation	estimation	NOUN
ejpam-6144	266	6	in	in	ADP
ejpam-6144	266	7	this	this	DET
ejpam-6144	266	8	section	section	NOUN
ejpam-6144	266	9	,	,	PUNCT
ejpam-6144	266	10	we	we	PRON
ejpam-6144	266	11	estimate	estimate	VERB
ejpam-6144	266	12	the	the	DET
ejpam-6144	266	13	unknown	unknown	ADJ
ejpam-6144	266	14	parameters	parameter	NOUN
ejpam-6144	266	15	of	of	ADP
ejpam-6144	266	16	the	the	DET
ejpam-6144	266	17	dgzhlo	dgzhlo	PROPN
ejpam-6144	266	18	model	model	NOUN
ejpam-6144	266	19	using	use	VERB
ejpam-6144	266	20	the	the	DET
ejpam-6144	266	21	maximum	maximum	ADJ
ejpam-6144	266	22	likelihood	likelihood	NOUN
ejpam-6144	266	23	method	method	NOUN
ejpam-6144	266	24	(	(	PUNCT
ejpam-6144	266	25	mle	mle	PROPN
ejpam-6144	266	26	)	)	PUNCT
ejpam-6144	266	27	.	.	PUNCT
ejpam-6144	267	1	suppose	suppose	VERB
ejpam-6144	267	2	z1	z1	PROPN
ejpam-6144	267	3	,	,	PUNCT
ejpam-6144	267	4	z2	z2	PROPN
ejpam-6144	267	5	,	,	PUNCT
ejpam-6144	267	6	...	...	PUNCT
ejpam-6144	267	7	,	,	PUNCT
ejpam-6144	267	8	zn	zn	PROPN
ejpam-6144	267	9	be	be	VERB
ejpam-6144	267	10	a	a	DET
ejpam-6144	267	11	random	random	ADJ
ejpam-6144	267	12	sample	sample	NOUN
ejpam-6144	267	13	from	from	ADP
ejpam-6144	267	14	the	the	DET
ejpam-6144	267	15	dgzhlo	dgzhlo	PROPN
ejpam-6144	267	16	model	model	NOUN
ejpam-6144	267	17	.	.	PUNCT
ejpam-6144	268	1	then	then	ADV
ejpam-6144	268	2	,	,	PUNCT
ejpam-6144	268	3	the	the	DET
ejpam-6144	268	4	log	log	NOUN
ejpam-6144	268	5	-	-	PUNCT
ejpam-6144	268	6	likelihood	likelihood	NOUN
ejpam-6144	268	7	function	function	NOUN
ejpam-6144	268	8	(	(	PUNCT
ejpam-6144	268	9	l	l	NOUN
ejpam-6144	268	10	)	)	PUNCT
ejpam-6144	268	11	can	can	AUX
ejpam-6144	268	12	be	be	AUX
ejpam-6144	268	13	listed	list	VERB
ejpam-6144	268	14	as	as	ADP
ejpam-6144	268	15	l	l	NOUN
ejpam-6144	268	16	=	=	SYM
ejpam-6144	268	17	−1	−1	NOUN
ejpam-6144	268	18	τ	τ	PROPN
ejpam-6144	268	19	ln(γ	ln(γ	PUNCT
ejpam-6144	268	20	)	)	PUNCT
ejpam-6144	269	1	+	+	NOUN
ejpam-6144	269	2	n	n	CCONJ
ejpam-6144	269	3	i=1	i=1	PROPN
ejpam-6144	269	4	ln	ln	ADJ
ejpam-6144	269	5	γ	γ	PROPN
ejpam-6144	269	6	1	1	NUM
ejpam-6144	269	7	τ	τ	X
ejpam-6144	269	8	{	{	PUNCT
ejpam-6144	269	9	[	[	PUNCT
ejpam-6144	269	10	1−	1−	NUM
ejpam-6144	269	11	1−e−θzi	1−e−θzi	NUM
ejpam-6144	269	12	1+e−θzi	1+e−θzi	NUM
ejpam-6144	269	13	]	]	SYM
ejpam-6144	269	14	−τ	−τ	ADJ
ejpam-6144	269	15	}	}	PUNCT
ejpam-6144	269	16	−	−	PROPN
ejpam-6144	269	17	γ	γ	X
ejpam-6144	269	18	1	1	NUM
ejpam-6144	269	19	τ	τ	X
ejpam-6144	269	20	{	{	PUNCT
ejpam-6144	269	21	[	[	PUNCT
ejpam-6144	269	22	1−	1−	NUM
ejpam-6144	269	23	1−e−θ(zi+1	1−e−θ(zi+1	NUM
ejpam-6144	269	24	)	)	PUNCT
ejpam-6144	269	25	1+e−θ(zi+1	1+e−θ(zi+1	PROPN
ejpam-6144	269	26	)	)	PUNCT
ejpam-6144	269	27	]	]	PUNCT
ejpam-6144	269	28	−τ	−τ	ADJ
ejpam-6144	269	29	}	}	PUNCT
ejpam-6144	269	30			PROPN
ejpam-6144	269	31	.	.	PUNCT
ejpam-6144	270	1	(	(	PUNCT
ejpam-6144	270	2	24	24	NUM
ejpam-6144	270	3	)	)	PUNCT
ejpam-6144	270	4	the	the	DET
ejpam-6144	270	5	mles	mle	NOUN
ejpam-6144	270	6	of	of	ADP
ejpam-6144	270	7	the	the	DET
ejpam-6144	270	8	parameters	parameter	NOUN
ejpam-6144	270	9	γ	γ	X
ejpam-6144	270	10	,	,	PUNCT
ejpam-6144	270	11	τ	τ	PROPN
ejpam-6144	270	12	and	and	CCONJ
ejpam-6144	270	13	θ	θ	PROPN
ejpam-6144	270	14	can	can	AUX
ejpam-6144	270	15	be	be	AUX
ejpam-6144	270	16	derived	derive	VERB
ejpam-6144	270	17	by	by	ADP
ejpam-6144	270	18	solving	solve	VERB
ejpam-6144	270	19	the	the	DET
ejpam-6144	270	20	nonlinear	nonlinear	ADJ
ejpam-6144	270	21	likelihood	likelihood	NOUN
ejpam-6144	270	22	equations	equation	NOUN
ejpam-6144	270	23	obtained	obtain	VERB
ejpam-6144	270	24	by	by	ADP
ejpam-6144	270	25	differentiating	differentiate	VERB
ejpam-6144	270	26	(	(	PUNCT
ejpam-6144	270	27	24	24	NUM
ejpam-6144	270	28	)	)	PUNCT
ejpam-6144	270	29	with	with	ADP
ejpam-6144	270	30	respect	respect	NOUN
ejpam-6144	270	31	to	to	ADP
ejpam-6144	270	32	γ	γ	PROPN
ejpam-6144	270	33	,	,	PUNCT
ejpam-6144	270	34	τ	τ	PROPN
ejpam-6144	270	35	and	and	CCONJ
ejpam-6144	270	36	θ	θ	PROPN
ejpam-6144	270	37	.	.	PUNCT
ejpam-6144	271	1	the	the	DET
ejpam-6144	271	2	components	component	NOUN
ejpam-6144	271	3	of	of	ADP
ejpam-6144	271	4	the	the	DET
ejpam-6144	271	5	score	score	NOUN
ejpam-6144	271	6	vector	vector	NOUN
ejpam-6144	271	7	,	,	PUNCT
ejpam-6144	271	8	v(γ	v(γ	PROPN
ejpam-6144	271	9	,	,	PUNCT
ejpam-6144	271	10	τ	τ	PROPN
ejpam-6144	271	11	,	,	PUNCT
ejpam-6144	271	12	θ	θ	NOUN
ejpam-6144	271	13	)	)	PUNCT
ejpam-6144	271	14	=	=	SYM
ejpam-6144	271	15	(	(	PUNCT
ejpam-6144	271	16	∂l∂γ	∂l∂γ	INTJ
ejpam-6144	271	17	,	,	PUNCT
ejpam-6144	271	18	∂l	∂l	PROPN
ejpam-6144	271	19	∂τ	∂τ	INTJ
ejpam-6144	271	20	,	,	PUNCT
ejpam-6144	271	21	∂l	∂l	PROPN
ejpam-6144	271	22	∂θ	∂θ	PROPN
ejpam-6144	271	23	)	)	PUNCT
ejpam-6144	272	1	t	t	PROPN
ejpam-6144	272	2	are	be	AUX
ejpam-6144	272	3	vγ	vγ	NOUN
ejpam-6144	272	4	=	=	PUNCT
ejpam-6144	273	1	−n	−n	ADJ
ejpam-6144	273	2	τγ	τγ	X
ejpam-6144	274	1	+	+	CCONJ
ejpam-6144	274	2	1	1	NUM
ejpam-6144	274	3	τγ	τγ	ADP
ejpam-6144	274	4	n	n	CCONJ
ejpam-6144	274	5	i=1	i=1	PROPN
ejpam-6144	274	6	g2(zi)−	g2(zi)−	PROPN
ejpam-6144	274	7	g2(zi	g2(zi	VERB
ejpam-6144	274	8	+	+	CCONJ
ejpam-6144	274	9	1	1	NUM
ejpam-6144	274	10	)	)	PUNCT
ejpam-6144	274	11	g1(zi	g1(zi	PROPN
ejpam-6144	274	12	)	)	PUNCT
ejpam-6144	274	13	,	,	PUNCT
ejpam-6144	274	14	(	(	PUNCT
ejpam-6144	274	15	25	25	NUM
ejpam-6144	274	16	)	)	PUNCT
ejpam-6144	274	17	vτ	vτ	NOUN
ejpam-6144	274	18	=	=	SYM
ejpam-6144	274	19	−n	−n	NOUN
ejpam-6144	274	20	ln(γ	ln(γ	NUM
ejpam-6144	274	21	)	)	PUNCT
ejpam-6144	274	22	τ2	τ2	PROPN
ejpam-6144	274	23	−	−	NOUN
ejpam-6144	274	24	ln(γ	ln(γ	NUM
ejpam-6144	274	25	)	)	PUNCT
ejpam-6144	274	26	τ2	τ2	NOUN
ejpam-6144	274	27	n	n	NOUN
ejpam-6144	274	28	i=1	i=1	PRON
ejpam-6144	274	29	g2(zi	g2(zi	PROPN
ejpam-6144	274	30	)	)	PUNCT
ejpam-6144	274	31	[	[	PUNCT
ejpam-6144	274	32	τ	τ	PROPN
ejpam-6144	274	33	ln(1−	ln(1−	PROPN
ejpam-6144	274	34	1−e−θzi	1−e−θzi	NUM
ejpam-6144	274	35	1+e−θzi	1+e−θzi	NUM
ejpam-6144	274	36	)	)	PUNCT
ejpam-6144	275	1	+	+	CCONJ
ejpam-6144	275	2	1	1	X
ejpam-6144	275	3	]	]	PUNCT
ejpam-6144	275	4	−	−	PUNCT
ejpam-6144	275	5	g2(zi	g2(zi	VERB
ejpam-6144	275	6	+	+	CCONJ
ejpam-6144	275	7	1	1	NUM
ejpam-6144	275	8	)	)	PUNCT
ejpam-6144	275	9	[	[	PUNCT
ejpam-6144	275	10	τ	τ	PROPN
ejpam-6144	275	11	ln(1−	ln(1−	PROPN
ejpam-6144	275	12	1−e−θ(zi+1	1−e−θ(zi+1	NUM
ejpam-6144	275	13	)	)	PUNCT
ejpam-6144	275	14	1+e−θ(zi+1	1+e−θ(zi+1	NUM
ejpam-6144	275	15	)	)	PUNCT
ejpam-6144	275	16	)	)	PUNCT
ejpam-6144	276	1	+	+	CCONJ
ejpam-6144	276	2	1	1	X
ejpam-6144	276	3	]	]	SYM
ejpam-6144	276	4	g1(zi	g1(zi	NOUN
ejpam-6144	276	5	)	)	PUNCT
ejpam-6144	276	6	(	(	PUNCT
ejpam-6144	276	7	26	26	NUM
ejpam-6144	276	8	)	)	PUNCT
ejpam-6144	276	9	and	and	CCONJ
ejpam-6144	276	10	vθ	vθ	NOUN
ejpam-6144	276	11	=	=	SYM
ejpam-6144	276	12	n	n	CCONJ
ejpam-6144	276	13	i=1	i=1	PROPN
ejpam-6144	276	14	g2(zi	g2(zi	PROPN
ejpam-6144	276	15	)	)	PUNCT
ejpam-6144	276	16	[	[	PUNCT
ejpam-6144	276	17	1−	1−	NUM
ejpam-6144	276	18	1−e−θzi	1−e−θzi	NUM
ejpam-6144	276	19	1+e−θzi	1+e−θzi	NUM
ejpam-6144	276	20	]	]	SYM
ejpam-6144	276	21	−1	−1	NOUN
ejpam-6144	277	1	[	[	X
ejpam-6144	277	2	g(zi	g(zi	NUM
ejpam-6144	277	3	;	;	PUNCT
ejpam-6144	277	4	θ)]θ	θ)]θ	PRON
ejpam-6144	277	5	−	−	PROPN
ejpam-6144	278	1	g2(zi	g2(zi	PROPN
ejpam-6144	278	2	+	+	CCONJ
ejpam-6144	278	3	1	1	NUM
ejpam-6144	278	4	)	)	PUNCT
ejpam-6144	278	5	[	[	PUNCT
ejpam-6144	278	6	1−	1−	NUM
ejpam-6144	278	7	1−e−θ(zi+1	1−e−θ(zi+1	NUM
ejpam-6144	278	8	)	)	PUNCT
ejpam-6144	278	9	1+e−θ(zi+1	1+e−θ(zi+1	PROPN
ejpam-6144	278	10	)	)	PUNCT
ejpam-6144	278	11	]	]	X
ejpam-6144	278	12	−1	−1	NOUN
ejpam-6144	279	1	[	[	X
ejpam-6144	279	2	g(zi	g(zi	X
ejpam-6144	279	3	+	+	NOUN
ejpam-6144	279	4	1	1	NUM
ejpam-6144	279	5	;	;	PUNCT
ejpam-6144	279	6	θ)]θ	θ)]θ	PROPN
ejpam-6144	279	7	g1(zi	g1(zi	PROPN
ejpam-6144	279	8	)	)	PUNCT
ejpam-6144	279	9	,	,	PUNCT
ejpam-6144	279	10	(	(	PUNCT
ejpam-6144	279	11	27	27	NUM
ejpam-6144	279	12	)	)	PUNCT
ejpam-6144	280	1	where	where	SCONJ
ejpam-6144	280	2	[	[	X
ejpam-6144	280	3	g(zi	g(zi	NUM
ejpam-6144	280	4	;	;	PUNCT
ejpam-6144	280	5	θ)]θ	θ)]θ	PROPN
ejpam-6144	280	6	=	=	SYM
ejpam-6144	280	7	∂	∂	PUNCT
ejpam-6144	280	8	∂θ	∂θ	PROPN
ejpam-6144	280	9	[	[	PUNCT
ejpam-6144	280	10	1−	1−	NUM
ejpam-6144	280	11	e−θzi	e−θzi	VERB
ejpam-6144	280	12	1	1	NUM
ejpam-6144	280	13	+	+	CCONJ
ejpam-6144	280	14	e−θzi	e−θzi	VERB
ejpam-6144	280	15	]	]	PUNCT
ejpam-6144	280	16	,	,	PUNCT
ejpam-6144	280	17	g1(zi	g1(zi	PROPN
ejpam-6144	280	18	)	)	PUNCT
ejpam-6144	280	19	=	=	SYM
ejpam-6144	280	20	γ	γ	X
ejpam-6144	280	21	1	1	NUM
ejpam-6144	280	22	τ	τ	X
ejpam-6144	280	23	{	{	PUNCT
ejpam-6144	280	24	[	[	PUNCT
ejpam-6144	280	25	1−	1−	NUM
ejpam-6144	280	26	1−e−θzi	1−e−θzi	NUM
ejpam-6144	280	27	1+e−θzi	1+e−θzi	NUM
ejpam-6144	280	28	]	]	SYM
ejpam-6144	280	29	−τ	−τ	ADJ
ejpam-6144	280	30	}	}	PUNCT
ejpam-6144	280	31	−	−	PROPN
ejpam-6144	280	32	γ	γ	X
ejpam-6144	280	33	1	1	NUM
ejpam-6144	280	34	τ	τ	X
ejpam-6144	280	35	{	{	PUNCT
ejpam-6144	280	36	[	[	PUNCT
ejpam-6144	280	37	1−	1−	NUM
ejpam-6144	280	38	1−e−θ(zi+1	1−e−θ(zi+1	NUM
ejpam-6144	280	39	)	)	PUNCT
ejpam-6144	280	40	1+e−θ(zi+1	1+e−θ(zi+1	PROPN
ejpam-6144	280	41	)	)	PUNCT
ejpam-6144	280	42	]	]	PUNCT
ejpam-6144	280	43	−τ	−τ	ADV
ejpam-6144	280	44	}	}	PUNCT
ejpam-6144	280	45	,	,	PUNCT
ejpam-6144	280	46	m.	m.	NOUN
ejpam-6144	280	47	s.	s.	PROPN
ejpam-6144	280	48	eliwa	eliwa	PROPN
ejpam-6144	280	49	,	,	PUNCT
ejpam-6144	280	50	w.	w.	PROPN
ejpam-6144	280	51	e.	e.	PROPN
ejpam-6144	280	52	alghanem	alghanem	PROPN
ejpam-6144	280	53	,	,	PUNCT
ejpam-6144	280	54	m.	m.	NOUN
ejpam-6144	280	55	a.	a.	NOUN
ejpam-6144	280	56	alenizi	alenizi	PROPN
ejpam-6144	280	57	/	/	SYM
ejpam-6144	280	58	eur	eur	PROPN
ejpam-6144	280	59	.	.	PUNCT
ejpam-6144	281	1	j.	j.	PROPN
ejpam-6144	281	2	pure	pure	PROPN
ejpam-6144	281	3	appl	appl	PROPN
ejpam-6144	281	4	.	.	PROPN
ejpam-6144	281	5	math	math	PROPN
ejpam-6144	281	6	,	,	PUNCT
ejpam-6144	281	7	18	18	NUM
ejpam-6144	281	8	(	(	PUNCT
ejpam-6144	281	9	2	2	NUM
ejpam-6144	281	10	)	)	PUNCT
ejpam-6144	281	11	(	(	PUNCT
ejpam-6144	281	12	2025	2025	NUM
ejpam-6144	281	13	)	)	PUNCT
ejpam-6144	281	14	,	,	PUNCT
ejpam-6144	281	15	6144	6144	NUM
ejpam-6144	281	16	13	13	NUM
ejpam-6144	281	17	of	of	ADP
ejpam-6144	281	18	26	26	NUM
ejpam-6144	281	19	and	and	CCONJ
ejpam-6144	281	20	g2(zi	g2(zi	PROPN
ejpam-6144	281	21	)	)	PUNCT
ejpam-6144	281	22	=	=	SYM
ejpam-6144	281	23	γ	γ	X
ejpam-6144	281	24	1	1	NUM
ejpam-6144	281	25	τ	τ	X
ejpam-6144	281	26	{	{	PUNCT
ejpam-6144	281	27	[	[	PUNCT
ejpam-6144	281	28	1−	1−	NUM
ejpam-6144	281	29	1−e−θzi	1−e−θzi	NUM
ejpam-6144	281	30	1+e−θzi	1+e−θzi	NUM
ejpam-6144	281	31	]	]	X
ejpam-6144	281	32	−τ	−τ	PROPN
ejpam-6144	281	33	}	}	PUNCT
ejpam-6144	281	34	{	{	PUNCT
ejpam-6144	281	35	[	[	PUNCT
ejpam-6144	281	36	1−	1−	NUM
ejpam-6144	281	37	1−	1−	NUM
ejpam-6144	281	38	e−θzi	e−θzi	VERB
ejpam-6144	281	39	1	1	NUM
ejpam-6144	281	40	+	+	CCONJ
ejpam-6144	281	41	e−θzi	e−θzi	VERB
ejpam-6144	281	42	]	]	PUNCT
ejpam-6144	281	43	−τ	−τ	ADV
ejpam-6144	281	44	}	}	PUNCT
ejpam-6144	281	45	.	.	PUNCT
ejpam-6144	282	1	setting	set	VERB
ejpam-6144	282	2	the	the	DET
ejpam-6144	282	3	equations	equation	NOUN
ejpam-6144	282	4	(	(	PUNCT
ejpam-6144	282	5	25	25	NUM
ejpam-6144	282	6	-	-	SYM
ejpam-6144	282	7	27	27	NUM
ejpam-6144	282	8	)	)	PUNCT
ejpam-6144	282	9	to	to	ADP
ejpam-6144	282	10	zero	zero	NUM
ejpam-6144	282	11	and	and	CCONJ
ejpam-6144	282	12	solving	solve	VERB
ejpam-6144	282	13	them	they	PRON
ejpam-6144	282	14	gives	give	VERB
ejpam-6144	282	15	the	the	DET
ejpam-6144	282	16	maximum	maximum	ADJ
ejpam-6144	282	17	likelihood	likelihood	NOUN
ejpam-6144	282	18	estimates	estimate	NOUN
ejpam-6144	282	19	(	(	PUNCT
ejpam-6144	282	20	mles	mle	NOUN
ejpam-6144	282	21	)	)	PUNCT
ejpam-6144	282	22	for	for	ADP
ejpam-6144	282	23	the	the	DET
ejpam-6144	282	24	dgzhlo	dgzhlo	PROPN
ejpam-6144	282	25	family	family	NOUN
ejpam-6144	282	26	parameters	parameter	NOUN
ejpam-6144	282	27	.	.	PUNCT
ejpam-6144	283	1	since	since	SCONJ
ejpam-6144	283	2	these	these	DET
ejpam-6144	283	3	equations	equation	NOUN
ejpam-6144	283	4	can	can	AUX
ejpam-6144	283	5	not	not	PART
ejpam-6144	283	6	be	be	AUX
ejpam-6144	283	7	solved	solve	VERB
ejpam-6144	283	8	analytically	analytically	ADV
ejpam-6144	283	9	,	,	PUNCT
ejpam-6144	283	10	an	an	DET
ejpam-6144	283	11	iterative	iterative	NOUN
ejpam-6144	283	12	method	method	NOUN
ejpam-6144	283	13	such	such	ADJ
ejpam-6144	283	14	as	as	ADP
ejpam-6144	283	15	the	the	DET
ejpam-6144	283	16	newton	newton	PROPN
ejpam-6144	283	17	-	-	PUNCT
ejpam-6144	283	18	raphson	raphson	NOUN
ejpam-6144	283	19	algorithm	algorithm	NOUN
ejpam-6144	283	20	is	be	AUX
ejpam-6144	283	21	needed	need	VERB
ejpam-6144	283	22	to	to	PART
ejpam-6144	283	23	solve	solve	VERB
ejpam-6144	283	24	them	they	PRON
ejpam-6144	283	25	numerically	numerically	ADV
ejpam-6144	283	26	.	.	PUNCT
ejpam-6144	284	1	in	in	ADP
ejpam-6144	284	2	r	r	NOUN
ejpam-6144	284	3	,	,	PUNCT
ejpam-6144	284	4	this	this	PRON
ejpam-6144	284	5	can	can	AUX
ejpam-6144	284	6	be	be	AUX
ejpam-6144	284	7	implemented	implement	VERB
ejpam-6144	284	8	using	use	VERB
ejpam-6144	284	9	packages	package	NOUN
ejpam-6144	284	10	like	like	ADP
ejpam-6144	284	11	stats	stat	NOUN
ejpam-6144	284	12	or	or	CCONJ
ejpam-6144	284	13	optim	optim	ADJ
ejpam-6144	284	14	,	,	PUNCT
ejpam-6144	284	15	which	which	PRON
ejpam-6144	284	16	provide	provide	VERB
ejpam-6144	284	17	functions	function	NOUN
ejpam-6144	284	18	for	for	ADP
ejpam-6144	284	19	numerical	numerical	ADJ
ejpam-6144	284	20	optimization	optimization	NOUN
ejpam-6144	284	21	and	and	CCONJ
ejpam-6144	284	22	solving	solve	VERB
ejpam-6144	284	23	such	such	ADJ
ejpam-6144	284	24	equations	equation	NOUN
ejpam-6144	284	25	.	.	PUNCT
ejpam-6144	285	1	5	5	X
ejpam-6144	285	2	.	.	X
ejpam-6144	285	3	simulation	simulation	NOUN
ejpam-6144	285	4	results	result	VERB
ejpam-6144	285	5	:	:	PUNCT
ejpam-6144	285	6	estimator	estimator	NOUN
ejpam-6144	285	7	behavior	behavior	NOUN
ejpam-6144	285	8	this	this	DET
ejpam-6144	285	9	section	section	NOUN
ejpam-6144	285	10	presents	present	VERB
ejpam-6144	285	11	the	the	DET
ejpam-6144	285	12	results	result	NOUN
ejpam-6144	285	13	from	from	ADP
ejpam-6144	285	14	simulations	simulation	NOUN
ejpam-6144	285	15	conducted	conduct	VERB
ejpam-6144	285	16	to	to	PART
ejpam-6144	285	17	evaluate	evaluate	VERB
ejpam-6144	285	18	the	the	DET
ejpam-6144	285	19	performance	performance	NOUN
ejpam-6144	285	20	of	of	ADP
ejpam-6144	285	21	the	the	DET
ejpam-6144	285	22	estimators	estimator	NOUN
ejpam-6144	285	23	for	for	ADP
ejpam-6144	285	24	the	the	DET
ejpam-6144	285	25	parameters	parameter	NOUN
ejpam-6144	285	26	of	of	ADP
ejpam-6144	285	27	the	the	DET
ejpam-6144	285	28	dgzhlo	dgzhlo	PROPN
ejpam-6144	285	29	model	model	NOUN
ejpam-6144	285	30	.	.	PUNCT
ejpam-6144	286	1	using	use	VERB
ejpam-6144	286	2	synthetic	synthetic	ADJ
ejpam-6144	286	3	data	datum	NOUN
ejpam-6144	286	4	generated	generate	VERB
ejpam-6144	286	5	from	from	ADP
ejpam-6144	286	6	the	the	DET
ejpam-6144	286	7	proposed	propose	VERB
ejpam-6144	286	8	model	model	NOUN
ejpam-6144	286	9	with	with	ADP
ejpam-6144	286	10	known	know	VERB
ejpam-6144	286	11	parameters	parameter	NOUN
ejpam-6144	286	12	,	,	PUNCT
ejpam-6144	286	13	we	we	PRON
ejpam-6144	286	14	assess	assess	VERB
ejpam-6144	286	15	how	how	SCONJ
ejpam-6144	286	16	accurately	accurately	ADV
ejpam-6144	286	17	the	the	DET
ejpam-6144	286	18	maximum	maximum	ADJ
ejpam-6144	286	19	likelihood	likelihood	NOUN
ejpam-6144	286	20	estimates	estimate	NOUN
ejpam-6144	286	21	(	(	PUNCT
ejpam-6144	286	22	mles	mle	NOUN
ejpam-6144	286	23	)	)	PUNCT
ejpam-6144	286	24	perform	perform	VERB
ejpam-6144	286	25	in	in	ADP
ejpam-6144	286	26	terms	term	NOUN
ejpam-6144	286	27	of	of	ADP
ejpam-6144	286	28	bias	bias	NOUN
ejpam-6144	286	29	,	,	PUNCT
ejpam-6144	286	30	variance	variance	NOUN
ejpam-6144	286	31	,	,	PUNCT
ejpam-6144	286	32	and	and	CCONJ
ejpam-6144	286	33	efficiency	efficiency	NOUN
ejpam-6144	286	34	.	.	PUNCT
ejpam-6144	287	1	the	the	DET
ejpam-6144	287	2	study	study	NOUN
ejpam-6144	287	3	considers	consider	VERB
ejpam-6144	287	4	various	various	ADJ
ejpam-6144	287	5	sample	sample	NOUN
ejpam-6144	287	6	sizes	size	NOUN
ejpam-6144	287	7	and	and	CCONJ
ejpam-6144	287	8	different	different	ADJ
ejpam-6144	287	9	parameter	parameter	NOUN
ejpam-6144	287	10	values	value	NOUN
ejpam-6144	287	11	to	to	PART
ejpam-6144	287	12	examine	examine	VERB
ejpam-6144	287	13	the	the	DET
ejpam-6144	287	14	robustness	robustness	NOUN
ejpam-6144	287	15	and	and	CCONJ
ejpam-6144	287	16	consistency	consistency	NOUN
ejpam-6144	287	17	of	of	ADP
ejpam-6144	287	18	the	the	DET
ejpam-6144	287	19	estimators	estimator	NOUN
ejpam-6144	287	20	under	under	ADP
ejpam-6144	287	21	different	different	ADJ
ejpam-6144	287	22	conditions	condition	NOUN
ejpam-6144	287	23	.	.	PUNCT
ejpam-6144	288	1	the	the	DET
ejpam-6144	288	2	evaluation	evaluation	NOUN
ejpam-6144	288	3	incorporates	incorporate	VERB
ejpam-6144	288	4	additional	additional	ADJ
ejpam-6144	288	5	criteria	criterion	NOUN
ejpam-6144	288	6	such	such	ADJ
ejpam-6144	288	7	as	as	ADP
ejpam-6144	288	8	mean	mean	ADJ
ejpam-6144	288	9	-	-	PUNCT
ejpam-6144	288	10	squared	square	VERB
ejpam-6144	288	11	errors	error	NOUN
ejpam-6144	288	12	(	(	PUNCT
ejpam-6144	288	13	mses	ms	NOUN
ejpam-6144	288	14	)	)	PUNCT
ejpam-6144	288	15	,	,	PUNCT
ejpam-6144	288	16	mean	mean	VERB
ejpam-6144	288	17	relative	relative	ADJ
ejpam-6144	288	18	error	error	NOUN
ejpam-6144	288	19	(	(	PUNCT
ejpam-6144	288	20	mre	mre	NOUN
ejpam-6144	288	21	)	)	PUNCT
ejpam-6144	288	22	and	and	CCONJ
ejpam-6144	288	23	other	other	ADJ
ejpam-6144	288	24	relevant	relevant	ADJ
ejpam-6144	288	25	performance	performance	NOUN
ejpam-6144	288	26	metrics	metric	NOUN
ejpam-6144	288	27	to	to	PART
ejpam-6144	288	28	provide	provide	VERB
ejpam-6144	288	29	a	a	DET
ejpam-6144	288	30	comprehensive	comprehensive	ADJ
ejpam-6144	288	31	understanding	understanding	NOUN
ejpam-6144	288	32	of	of	ADP
ejpam-6144	288	33	the	the	DET
ejpam-6144	288	34	mles	mle	NOUN
ejpam-6144	288	35	’	’	PART
ejpam-6144	288	36	accuracy	accuracy	NOUN
ejpam-6144	288	37	and	and	CCONJ
ejpam-6144	288	38	reliability	reliability	NOUN
ejpam-6144	288	39	.	.	PUNCT
ejpam-6144	289	1	these	these	DET
ejpam-6144	289	2	findings	finding	NOUN
ejpam-6144	289	3	offer	offer	VERB
ejpam-6144	289	4	valuable	valuable	ADJ
ejpam-6144	289	5	insights	insight	NOUN
ejpam-6144	289	6	into	into	ADP
ejpam-6144	289	7	the	the	DET
ejpam-6144	289	8	practical	practical	ADJ
ejpam-6144	289	9	applicability	applicability	NOUN
ejpam-6144	289	10	of	of	ADP
ejpam-6144	289	11	the	the	DET
ejpam-6144	289	12	estimators	estimator	NOUN
ejpam-6144	289	13	for	for	ADP
ejpam-6144	289	14	real	real	ADJ
ejpam-6144	289	15	-	-	PUNCT
ejpam-6144	289	16	world	world	NOUN
ejpam-6144	289	17	data	datum	NOUN
ejpam-6144	289	18	.	.	PUNCT
ejpam-6144	290	1	the	the	DET
ejpam-6144	290	2	assessment	assessment	NOUN
ejpam-6144	290	3	is	be	AUX
ejpam-6144	290	4	based	base	VERB
ejpam-6144	290	5	on	on	ADP
ejpam-6144	290	6	a	a	DET
ejpam-6144	290	7	thorough	thorough	ADJ
ejpam-6144	290	8	simulation	simulation	NOUN
ejpam-6144	290	9	study	study	NOUN
ejpam-6144	290	10	,	,	PUNCT
ejpam-6144	290	11	which	which	PRON
ejpam-6144	290	12	includes	include	VERB
ejpam-6144	290	13	a	a	DET
ejpam-6144	290	14	range	range	NOUN
ejpam-6144	290	15	of	of	ADP
ejpam-6144	290	16	scenarios	scenario	NOUN
ejpam-6144	290	17	to	to	PART
ejpam-6144	290	18	explore	explore	VERB
ejpam-6144	290	19	the	the	DET
ejpam-6144	290	20	behavior	behavior	NOUN
ejpam-6144	290	21	of	of	ADP
ejpam-6144	290	22	the	the	DET
ejpam-6144	290	23	dgzhlo	dgzhlo	PROPN
ejpam-6144	290	24	model	model	PROPN
ejpam-6144	290	25	’s	’s	PART
ejpam-6144	290	26	estimators	estimator	NOUN
ejpam-6144	290	27	.	.	PUNCT
ejpam-6144	291	1	(	(	PUNCT
ejpam-6144	291	2	i	i	NOUN
ejpam-6144	291	3	)	)	PUNCT
ejpam-6144	291	4	generate	generate	VERB
ejpam-6144	291	5	1000	1000	NUM
ejpam-6144	291	6	samples	sample	NOUN
ejpam-6144	291	7	of	of	ADP
ejpam-6144	291	8	size	size	NOUN
ejpam-6144	291	9	n	n	NOUN
ejpam-6144	291	10	=	=	SYM
ejpam-6144	291	11	20	20	NUM
ejpam-6144	291	12	,	,	PUNCT
ejpam-6144	291	13	50	50	NUM
ejpam-6144	291	14	,	,	PUNCT
ejpam-6144	291	15	150	150	NUM
ejpam-6144	291	16	,	,	PUNCT
ejpam-6144	291	17	300	300	NUM
ejpam-6144	291	18	,	,	PUNCT
ejpam-6144	291	19	500	500	NUM
ejpam-6144	291	20	from	from	ADP
ejpam-6144	291	21	three	three	NUM
ejpam-6144	291	22	scheme	scheme	NOUN
ejpam-6144	291	23	,	,	PUNCT
ejpam-6144	291	24	schema	schema	NOUN
ejpam-6144	291	25	i	i	PRON
ejpam-6144	291	26	:	:	PUNCT
ejpam-6144	291	27	dgzhlo(0.1	dgzhlo(0.1	PROPN
ejpam-6144	291	28	,	,	PUNCT
ejpam-6144	291	29	0.5	0.5	NUM
ejpam-6144	291	30	,	,	PUNCT
ejpam-6144	291	31	0.7	0.7	NUM
ejpam-6144	291	32	)	)	PUNCT
ejpam-6144	291	33	,	,	PUNCT
ejpam-6144	291	34	schema	schema	NOUN
ejpam-6144	291	35	ii	ii	NOUN
ejpam-6144	291	36	:	:	PUNCT
ejpam-6144	291	37	dgzhlo(0.3	dgzhlo(0.3	ADJ
ejpam-6144	291	38	,	,	PUNCT
ejpam-6144	291	39	0.7	0.7	NUM
ejpam-6144	291	40	,	,	PUNCT
ejpam-6144	291	41	0.3	0.3	NUM
ejpam-6144	291	42	)	)	PUNCT
ejpam-6144	291	43	and	and	CCONJ
ejpam-6144	291	44	schema	schema	NOUN
ejpam-6144	291	45	iii	iii	NOUN
ejpam-6144	291	46	:	:	PUNCT
ejpam-6144	291	47	dgzhlo(0.5	dgzhlo(0.5	NOUN
ejpam-6144	291	48	,	,	PUNCT
ejpam-6144	291	49	0.2	0.2	NUM
ejpam-6144	291	50	,	,	PUNCT
ejpam-6144	291	51	0.9	0.9	NUM
ejpam-6144	291	52	)	)	PUNCT
ejpam-6144	291	53	.	.	PUNCT
ejpam-6144	292	1	(	(	PUNCT
ejpam-6144	292	2	ii	ii	X
ejpam-6144	292	3	)	)	PUNCT
ejpam-6144	292	4	compute	compute	VERB
ejpam-6144	292	5	the	the	DET
ejpam-6144	292	6	mles	mle	NOUN
ejpam-6144	292	7	for	for	ADP
ejpam-6144	292	8	the	the	DET
ejpam-6144	292	9	1000	1000	NUM
ejpam-6144	292	10	samples	sample	NOUN
ejpam-6144	292	11	,	,	PUNCT
ejpam-6144	292	12	say	say	VERB
ejpam-6144	292	13	âj	âj	NOUN
ejpam-6144	292	14	and	and	CCONJ
ejpam-6144	292	15	b̂j	b̂j	NOUN
ejpam-6144	292	16	for	for	ADP
ejpam-6144	292	17	j	j	PROPN
ejpam-6144	292	18	=	=	SYM
ejpam-6144	292	19	1	1	NUM
ejpam-6144	292	20	,	,	PUNCT
ejpam-6144	292	21	2	2	NUM
ejpam-6144	292	22	,	,	PUNCT
ejpam-6144	292	23	...	...	PUNCT
ejpam-6144	292	24	,	,	PUNCT
ejpam-6144	292	25	1000	1000	NUM
ejpam-6144	292	26	.	.	PUNCT
ejpam-6144	293	1	(	(	PUNCT
ejpam-6144	293	2	iii	iii	X
ejpam-6144	293	3	)	)	PUNCT
ejpam-6144	293	4	compute	compute	NOUN
ejpam-6144	293	5	the	the	DET
ejpam-6144	293	6	biase	biase	NOUN
ejpam-6144	293	7	and	and	CCONJ
ejpam-6144	293	8	mses	ms	NOUN
ejpam-6144	293	9	,	,	PUNCT
ejpam-6144	293	10	and	and	CCONJ
ejpam-6144	293	11	mres	mre	NOUN
ejpam-6144	293	12	where	where	SCONJ
ejpam-6144	293	13	bias(ϖ	bias(ϖ	VERB
ejpam-6144	293	14	)	)	PUNCT
ejpam-6144	293	15	=	=	SYM
ejpam-6144	294	1	1	1	NUM
ejpam-6144	294	2	1000	1000	NUM
ejpam-6144	294	3	1000∑	1000∑	NUM
ejpam-6144	294	4	j=1	j=1	NOUN
ejpam-6144	294	5	(	(	PUNCT
ejpam-6144	294	6	ϖ̂j	ϖ̂j	ADP
ejpam-6144	294	7	−ϖj	−ϖj	NOUN
ejpam-6144	294	8	)	)	PUNCT
ejpam-6144	294	9	,	,	PUNCT
ejpam-6144	294	10	mse(ϖ	mse(ϖ	PROPN
ejpam-6144	294	11	)	)	PUNCT
ejpam-6144	294	12	=	=	SYM
ejpam-6144	295	1	1	1	NUM
ejpam-6144	295	2	1000	1000	NUM
ejpam-6144	295	3	1000∑	1000∑	NUM
ejpam-6144	295	4	j=1	j=1	NOUN
ejpam-6144	295	5	(	(	PUNCT
ejpam-6144	295	6	ϖ̂j	ϖ̂j	X
ejpam-6144	295	7	−ϖj	−ϖj	NOUN
ejpam-6144	295	8	)	)	PUNCT
ejpam-6144	295	9	2	2	NUM
ejpam-6144	295	10	,	,	PUNCT
ejpam-6144	295	11	and	and	CCONJ
ejpam-6144	295	12	mre(ϖ	mre(ϖ	PROPN
ejpam-6144	295	13	)	)	PUNCT
ejpam-6144	295	14	=	=	SYM
ejpam-6144	295	15	1	1	NUM
ejpam-6144	295	16	1000	1000	NUM
ejpam-6144	295	17	1000∑	1000∑	NUM
ejpam-6144	295	18	j=1	j=1	PROPN
ejpam-6144	295	19	∣∣∣∣ϖ̂j	∣∣∣∣ϖ̂j	PROPN
ejpam-6144	295	20	−ϖj	−ϖj	PROPN
ejpam-6144	295	21	ϖj	ϖj	PROPN
ejpam-6144	295	22	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6144	295	23	.	.	PUNCT
ejpam-6144	296	1	the	the	DET
ejpam-6144	296	2	empirical	empirical	ADJ
ejpam-6144	296	3	results	result	NOUN
ejpam-6144	296	4	are	be	AUX
ejpam-6144	296	5	shown	show	VERB
ejpam-6144	296	6	in	in	ADP
ejpam-6144	296	7	figures	figure	NOUN
ejpam-6144	296	8	3	3	NUM
ejpam-6144	296	9	-	-	SYM
ejpam-6144	296	10	5	5	NUM
ejpam-6144	296	11	.	.	PUNCT
ejpam-6144	296	12	m.	m.	NOUN
ejpam-6144	296	13	s.	s.	PROPN
ejpam-6144	296	14	eliwa	eliwa	PROPN
ejpam-6144	296	15	,	,	PUNCT
ejpam-6144	296	16	w.	w.	PROPN
ejpam-6144	296	17	e.	e.	PROPN
ejpam-6144	296	18	alghanem	alghanem	PROPN
ejpam-6144	296	19	,	,	PUNCT
ejpam-6144	296	20	m.	m.	NOUN
ejpam-6144	296	21	a.	a.	NOUN
ejpam-6144	296	22	alenizi	alenizi	PROPN
ejpam-6144	296	23	/	/	SYM
ejpam-6144	296	24	eur	eur	PROPN
ejpam-6144	296	25	.	.	PUNCT
ejpam-6144	297	1	j.	j.	PROPN
ejpam-6144	297	2	pure	pure	PROPN
ejpam-6144	297	3	appl	appl	PROPN
ejpam-6144	297	4	.	.	PROPN
ejpam-6144	297	5	math	math	PROPN
ejpam-6144	297	6	,	,	PUNCT
ejpam-6144	297	7	18	18	NUM
ejpam-6144	297	8	(	(	PUNCT
ejpam-6144	297	9	2	2	NUM
ejpam-6144	297	10	)	)	PUNCT
ejpam-6144	297	11	(	(	PUNCT
ejpam-6144	297	12	2025	2025	NUM
ejpam-6144	297	13	)	)	PUNCT
ejpam-6144	297	14	,	,	PUNCT
ejpam-6144	297	15	6144	6144	NUM
ejpam-6144	297	16	14	14	NUM
ejpam-6144	297	17	of	of	ADP
ejpam-6144	297	18	26	26	NUM
ejpam-6144	297	19	100	100	NUM
ejpam-6144	297	20	200	200	NUM
ejpam-6144	297	21	300	300	NUM
ejpam-6144	297	22	400	400	NUM
ejpam-6144	297	23	500	500	NUM
ejpam-6144	297	24	0	0	NUM
ejpam-6144	298	1	.0	.0	NUM
ejpam-6144	298	2	0	0	NUM
ejpam-6144	299	1	.2	.2	NUM
ejpam-6144	299	2	0	0	NUM
ejpam-6144	300	1	.4	.4	NUM
ejpam-6144	300	2	0	0	NUM
ejpam-6144	301	1	.6	.6	NUM
ejpam-6144	301	2	0	0	NUM
ejpam-6144	301	3	.8	.8	NUM
ejpam-6144	301	4	1	1	NUM
ejpam-6144	301	5	.0	.0	NUM
ejpam-6144	301	6	n	n	PROPN
ejpam-6144	301	7	b	b	PROPN
ejpam-6144	301	8	ia	ia	PROPN
ejpam-6144	301	9	s	s	PROPN
ejpam-6144	301	10	100	100	NUM
ejpam-6144	301	11	200	200	NUM
ejpam-6144	301	12	300	300	NUM
ejpam-6144	301	13	400	400	NUM
ejpam-6144	301	14	500	500	NUM
ejpam-6144	301	15	0	0	NUM
ejpam-6144	301	16	.0	.0	NUM
ejpam-6144	301	17	0	0	NUM
ejpam-6144	302	1	.2	.2	NUM
ejpam-6144	302	2	0	0	NUM
ejpam-6144	303	1	.4	.4	NUM
ejpam-6144	303	2	0	0	NUM
ejpam-6144	304	1	.6	.6	NUM
ejpam-6144	304	2	0	0	NUM
ejpam-6144	304	3	.8	.8	NUM
ejpam-6144	304	4	1	1	NUM
ejpam-6144	304	5	.0	.0	NUM
ejpam-6144	304	6	n	n	PROPN
ejpam-6144	304	7	b	b	PROPN
ejpam-6144	304	8	ia	ia	PROPN
ejpam-6144	304	9	s	s	PROPN
ejpam-6144	304	10	100	100	NUM
ejpam-6144	304	11	200	200	NUM
ejpam-6144	304	12	300	300	NUM
ejpam-6144	304	13	400	400	NUM
ejpam-6144	304	14	500	500	NUM
ejpam-6144	304	15	0	0	NUM
ejpam-6144	304	16	.0	.0	NUM
ejpam-6144	304	17	0	0	NUM
ejpam-6144	305	1	.2	.2	NUM
ejpam-6144	305	2	0	0	NUM
ejpam-6144	306	1	.4	.4	NUM
ejpam-6144	306	2	0	0	NUM
ejpam-6144	307	1	.6	.6	NUM
ejpam-6144	307	2	0	0	NUM
ejpam-6144	307	3	.8	.8	NUM
ejpam-6144	307	4	1	1	NUM
ejpam-6144	307	5	.0	.0	NUM
ejpam-6144	307	6	n	n	PROPN
ejpam-6144	307	7	b	b	PROPN
ejpam-6144	307	8	ia	ia	PROPN
ejpam-6144	307	9	s	s	PART
ejpam-6144	307	10	γ	γ	X
ejpam-6144	307	11	τ	τ	PROPN
ejpam-6144	307	12	θ	θ	PROPN
ejpam-6144	307	13	100	100	NUM
ejpam-6144	307	14	200	200	NUM
ejpam-6144	307	15	300	300	NUM
ejpam-6144	307	16	400	400	NUM
ejpam-6144	307	17	500	500	NUM
ejpam-6144	307	18	0	0	NUM
ejpam-6144	307	19	.0	.0	NUM
ejpam-6144	307	20	0	0	NUM
ejpam-6144	308	1	.2	.2	NUM
ejpam-6144	308	2	0	0	NUM
ejpam-6144	309	1	.4	.4	NUM
ejpam-6144	309	2	0	0	NUM
ejpam-6144	310	1	.6	.6	NUM
ejpam-6144	310	2	0	0	NUM
ejpam-6144	310	3	.8	.8	PROPN
ejpam-6144	311	1	n	n	PRON
ejpam-6144	312	1	m	m	NOUN
ejpam-6144	312	2	s	s	PROPN
ejpam-6144	312	3	e	e	NOUN
ejpam-6144	312	4	100	100	NUM
ejpam-6144	312	5	200	200	NUM
ejpam-6144	312	6	300	300	NUM
ejpam-6144	312	7	400	400	NUM
ejpam-6144	312	8	500	500	NUM
ejpam-6144	312	9	0	0	NUM
ejpam-6144	312	10	.0	.0	NUM
ejpam-6144	312	11	0	0	NUM
ejpam-6144	313	1	.2	.2	NUM
ejpam-6144	313	2	0	0	NUM
ejpam-6144	314	1	.4	.4	NUM
ejpam-6144	314	2	0	0	NUM
ejpam-6144	315	1	.6	.6	NUM
ejpam-6144	315	2	0	0	NUM
ejpam-6144	315	3	.8	.8	PROPN
ejpam-6144	316	1	n	n	PRON
ejpam-6144	317	1	m	m	NOUN
ejpam-6144	317	2	s	s	PROPN
ejpam-6144	317	3	e	e	NOUN
ejpam-6144	317	4	100	100	NUM
ejpam-6144	317	5	200	200	NUM
ejpam-6144	317	6	300	300	NUM
ejpam-6144	317	7	400	400	NUM
ejpam-6144	317	8	500	500	NUM
ejpam-6144	317	9	0	0	NUM
ejpam-6144	317	10	.0	.0	NUM
ejpam-6144	317	11	0	0	NUM
ejpam-6144	318	1	.2	.2	NUM
ejpam-6144	318	2	0	0	NUM
ejpam-6144	319	1	.4	.4	NUM
ejpam-6144	319	2	0	0	NUM
ejpam-6144	320	1	.6	.6	NUM
ejpam-6144	320	2	0	0	NUM
ejpam-6144	320	3	.8	.8	PROPN
ejpam-6144	321	1	n	n	CCONJ
ejpam-6144	322	1	m	m	NOUN
ejpam-6144	322	2	s	s	PROPN
ejpam-6144	322	3	e	e	X
ejpam-6144	322	4	γ	γ	X
ejpam-6144	322	5	τ	τ	PROPN
ejpam-6144	322	6	θ	θ	PROPN
ejpam-6144	322	7	100	100	NUM
ejpam-6144	322	8	200	200	NUM
ejpam-6144	322	9	300	300	NUM
ejpam-6144	322	10	400	400	NUM
ejpam-6144	322	11	500	500	NUM
ejpam-6144	322	12	0	0	NUM
ejpam-6144	323	1	.0	.0	NUM
ejpam-6144	323	2	0	0	NUM
ejpam-6144	324	1	.2	.2	NUM
ejpam-6144	324	2	0	0	NUM
ejpam-6144	325	1	.4	.4	NUM
ejpam-6144	325	2	0	0	NUM
ejpam-6144	326	1	.6	.6	NUM
ejpam-6144	326	2	0	0	NUM
ejpam-6144	326	3	.8	.8	PROPN
ejpam-6144	327	1	n	n	CCONJ
ejpam-6144	327	2	m	m	VERB
ejpam-6144	327	3	r	r	NOUN
ejpam-6144	327	4	e	e	NOUN
ejpam-6144	327	5	100	100	NUM
ejpam-6144	327	6	200	200	NUM
ejpam-6144	328	1	300	300	NUM
ejpam-6144	328	2	400	400	NUM
ejpam-6144	328	3	500	500	NUM
ejpam-6144	328	4	0	0	NUM
ejpam-6144	328	5	.0	.0	NUM
ejpam-6144	328	6	0	0	NUM
ejpam-6144	329	1	.2	.2	NUM
ejpam-6144	329	2	0	0	NUM
ejpam-6144	330	1	.4	.4	NUM
ejpam-6144	330	2	0	0	NUM
ejpam-6144	331	1	.6	.6	NUM
ejpam-6144	331	2	0	0	NUM
ejpam-6144	331	3	.8	.8	PROPN
ejpam-6144	332	1	n	n	CCONJ
ejpam-6144	332	2	m	m	VERB
ejpam-6144	332	3	r	r	NOUN
ejpam-6144	332	4	e	e	NOUN
ejpam-6144	332	5	100	100	NUM
ejpam-6144	332	6	200	200	NUM
ejpam-6144	333	1	300	300	NUM
ejpam-6144	333	2	400	400	NUM
ejpam-6144	333	3	500	500	NUM
ejpam-6144	333	4	0	0	NUM
ejpam-6144	333	5	.0	.0	NUM
ejpam-6144	333	6	0	0	NUM
ejpam-6144	334	1	.2	.2	NUM
ejpam-6144	334	2	0	0	NUM
ejpam-6144	335	1	.4	.4	NUM
ejpam-6144	335	2	0	0	NUM
ejpam-6144	336	1	.6	.6	NUM
ejpam-6144	336	2	0	0	NUM
ejpam-6144	336	3	.8	.8	PROPN
ejpam-6144	337	1	n	n	CCONJ
ejpam-6144	337	2	m	m	NOUN
ejpam-6144	337	3	r	r	NOUN
ejpam-6144	337	4	e	e	NOUN
ejpam-6144	337	5	γ	γ	X
ejpam-6144	337	6	τ	τ	PROPN
ejpam-6144	337	7	θ	θ	NOUN
ejpam-6144	337	8	figure	figure	NOUN
ejpam-6144	337	9	3	3	NUM
ejpam-6144	337	10	:	:	PUNCT
ejpam-6144	337	11	the	the	DET
ejpam-6144	337	12	parameter	parameter	NOUN
ejpam-6144	337	13	biases	bias	NOUN
ejpam-6144	337	14	,	,	PUNCT
ejpam-6144	337	15	mse	mse	PROPN
ejpam-6144	337	16	,	,	PUNCT
ejpam-6144	337	17	and	and	CCONJ
ejpam-6144	337	18	mre	mre	PROPN
ejpam-6144	337	19	for	for	ADP
ejpam-6144	337	20	schema	schema	NOUN
ejpam-6144	337	21	i.	i.	NOUN
ejpam-6144	337	22	100	100	NUM
ejpam-6144	338	1	200	200	NUM
ejpam-6144	338	2	300	300	NUM
ejpam-6144	338	3	400	400	NUM
ejpam-6144	338	4	500	500	NUM
ejpam-6144	338	5	0	0	NUM
ejpam-6144	338	6	.0	.0	NUM
ejpam-6144	338	7	0	0	NUM
ejpam-6144	339	1	.2	.2	NUM
ejpam-6144	339	2	0	0	NUM
ejpam-6144	340	1	.4	.4	NUM
ejpam-6144	340	2	0	0	NUM
ejpam-6144	341	1	.6	.6	NUM
ejpam-6144	341	2	0	0	NUM
ejpam-6144	341	3	.8	.8	NUM
ejpam-6144	341	4	1	1	NUM
ejpam-6144	341	5	.0	.0	NUM
ejpam-6144	341	6	n	n	PROPN
ejpam-6144	341	7	b	b	PROPN
ejpam-6144	341	8	ia	ia	PROPN
ejpam-6144	341	9	s	s	PROPN
ejpam-6144	341	10	100	100	NUM
ejpam-6144	341	11	200	200	NUM
ejpam-6144	341	12	300	300	NUM
ejpam-6144	341	13	400	400	NUM
ejpam-6144	341	14	500	500	NUM
ejpam-6144	341	15	0	0	NUM
ejpam-6144	341	16	.0	.0	NUM
ejpam-6144	341	17	0	0	NUM
ejpam-6144	342	1	.2	.2	NUM
ejpam-6144	342	2	0	0	NUM
ejpam-6144	343	1	.4	.4	NUM
ejpam-6144	343	2	0	0	NUM
ejpam-6144	344	1	.6	.6	NUM
ejpam-6144	344	2	0	0	NUM
ejpam-6144	344	3	.8	.8	NUM
ejpam-6144	344	4	1	1	NUM
ejpam-6144	344	5	.0	.0	NUM
ejpam-6144	344	6	n	n	PROPN
ejpam-6144	344	7	b	b	PROPN
ejpam-6144	344	8	ia	ia	PROPN
ejpam-6144	344	9	s	s	PROPN
ejpam-6144	344	10	100	100	NUM
ejpam-6144	344	11	200	200	NUM
ejpam-6144	344	12	300	300	NUM
ejpam-6144	344	13	400	400	NUM
ejpam-6144	344	14	500	500	NUM
ejpam-6144	344	15	0	0	NUM
ejpam-6144	344	16	.0	.0	NUM
ejpam-6144	344	17	0	0	NUM
ejpam-6144	345	1	.2	.2	NUM
ejpam-6144	345	2	0	0	NUM
ejpam-6144	346	1	.4	.4	NUM
ejpam-6144	346	2	0	0	NUM
ejpam-6144	347	1	.6	.6	NUM
ejpam-6144	347	2	0	0	NUM
ejpam-6144	347	3	.8	.8	NUM
ejpam-6144	347	4	1	1	NUM
ejpam-6144	347	5	.0	.0	NUM
ejpam-6144	347	6	n	n	PROPN
ejpam-6144	347	7	b	b	PROPN
ejpam-6144	347	8	ia	ia	PROPN
ejpam-6144	347	9	s	s	PART
ejpam-6144	347	10	γ	γ	X
ejpam-6144	347	11	τ	τ	PROPN
ejpam-6144	347	12	θ	θ	PROPN
ejpam-6144	347	13	100	100	NUM
ejpam-6144	347	14	200	200	NUM
ejpam-6144	347	15	300	300	NUM
ejpam-6144	347	16	400	400	NUM
ejpam-6144	347	17	500	500	NUM
ejpam-6144	347	18	0	0	NUM
ejpam-6144	347	19	.0	.0	NUM
ejpam-6144	347	20	0	0	NUM
ejpam-6144	348	1	.2	.2	NUM
ejpam-6144	348	2	0	0	NUM
ejpam-6144	349	1	.4	.4	NUM
ejpam-6144	349	2	0	0	NUM
ejpam-6144	350	1	.6	.6	NUM
ejpam-6144	350	2	0	0	NUM
ejpam-6144	350	3	.8	.8	PROPN
ejpam-6144	351	1	n	n	PRON
ejpam-6144	352	1	m	m	NOUN
ejpam-6144	352	2	s	s	PROPN
ejpam-6144	352	3	e	e	NOUN
ejpam-6144	352	4	100	100	NUM
ejpam-6144	352	5	200	200	NUM
ejpam-6144	352	6	300	300	NUM
ejpam-6144	352	7	400	400	NUM
ejpam-6144	352	8	500	500	NUM
ejpam-6144	352	9	0	0	NUM
ejpam-6144	352	10	.0	.0	NUM
ejpam-6144	352	11	0	0	NUM
ejpam-6144	353	1	.2	.2	NUM
ejpam-6144	353	2	0	0	NUM
ejpam-6144	354	1	.4	.4	NUM
ejpam-6144	354	2	0	0	NUM
ejpam-6144	355	1	.6	.6	NUM
ejpam-6144	355	2	0	0	NUM
ejpam-6144	355	3	.8	.8	PROPN
ejpam-6144	356	1	n	n	PRON
ejpam-6144	357	1	m	m	NOUN
ejpam-6144	357	2	s	s	PROPN
ejpam-6144	357	3	e	e	NOUN
ejpam-6144	357	4	100	100	NUM
ejpam-6144	357	5	200	200	NUM
ejpam-6144	357	6	300	300	NUM
ejpam-6144	357	7	400	400	NUM
ejpam-6144	357	8	500	500	NUM
ejpam-6144	357	9	0	0	NUM
ejpam-6144	357	10	.0	.0	NUM
ejpam-6144	357	11	0	0	NUM
ejpam-6144	358	1	.2	.2	NUM
ejpam-6144	358	2	0	0	NUM
ejpam-6144	359	1	.4	.4	NUM
ejpam-6144	359	2	0	0	NUM
ejpam-6144	360	1	.6	.6	NUM
ejpam-6144	360	2	0	0	NUM
ejpam-6144	360	3	.8	.8	PROPN
ejpam-6144	361	1	n	n	CCONJ
ejpam-6144	362	1	m	m	NOUN
ejpam-6144	362	2	s	s	PROPN
ejpam-6144	362	3	e	e	X
ejpam-6144	362	4	γ	γ	X
ejpam-6144	362	5	τ	τ	PROPN
ejpam-6144	362	6	θ	θ	PROPN
ejpam-6144	362	7	100	100	NUM
ejpam-6144	362	8	200	200	NUM
ejpam-6144	362	9	300	300	NUM
ejpam-6144	362	10	400	400	NUM
ejpam-6144	362	11	500	500	NUM
ejpam-6144	362	12	0	0	NUM
ejpam-6144	363	1	.0	.0	NUM
ejpam-6144	363	2	0	0	NUM
ejpam-6144	364	1	.1	.1	NUM
ejpam-6144	364	2	0	0	PUNCT
ejpam-6144	365	1	.2	.2	NUM
ejpam-6144	365	2	0	0	NUM
ejpam-6144	365	3	.3	.3	NUM
ejpam-6144	365	4	0	0	NUM
ejpam-6144	366	1	.4	.4	NUM
ejpam-6144	366	2	0	0	NUM
ejpam-6144	367	1	.5	.5	NUM
ejpam-6144	367	2	0	0	NUM
ejpam-6144	368	1	.6	.6	NUM
ejpam-6144	368	2	n	n	NUM
ejpam-6144	368	3	m	m	VERB
ejpam-6144	368	4	r	r	NOUN
ejpam-6144	368	5	e	e	NOUN
ejpam-6144	368	6	100	100	NUM
ejpam-6144	368	7	200	200	NUM
ejpam-6144	368	8	300	300	NUM
ejpam-6144	368	9	400	400	NUM
ejpam-6144	368	10	500	500	NUM
ejpam-6144	368	11	0	0	NUM
ejpam-6144	368	12	.0	.0	NUM
ejpam-6144	368	13	0	0	NUM
ejpam-6144	369	1	.1	.1	NUM
ejpam-6144	369	2	0	0	PUNCT
ejpam-6144	370	1	.2	.2	NUM
ejpam-6144	370	2	0	0	NUM
ejpam-6144	370	3	.3	.3	NUM
ejpam-6144	370	4	0	0	NUM
ejpam-6144	371	1	.4	.4	NUM
ejpam-6144	371	2	0	0	NUM
ejpam-6144	372	1	.5	.5	NUM
ejpam-6144	372	2	0	0	NUM
ejpam-6144	373	1	.6	.6	NUM
ejpam-6144	373	2	n	n	NUM
ejpam-6144	373	3	m	m	VERB
ejpam-6144	373	4	r	r	NOUN
ejpam-6144	373	5	e	e	NOUN
ejpam-6144	373	6	100	100	NUM
ejpam-6144	373	7	200	200	NUM
ejpam-6144	373	8	300	300	NUM
ejpam-6144	373	9	400	400	NUM
ejpam-6144	373	10	500	500	NUM
ejpam-6144	373	11	0	0	NUM
ejpam-6144	373	12	.0	.0	NUM
ejpam-6144	373	13	0	0	NUM
ejpam-6144	374	1	.1	.1	NUM
ejpam-6144	374	2	0	0	PUNCT
ejpam-6144	375	1	.2	.2	NUM
ejpam-6144	375	2	0	0	NUM
ejpam-6144	375	3	.3	.3	NUM
ejpam-6144	375	4	0	0	NUM
ejpam-6144	376	1	.4	.4	NUM
ejpam-6144	376	2	0	0	NUM
ejpam-6144	377	1	.5	.5	NUM
ejpam-6144	377	2	0	0	NUM
ejpam-6144	378	1	.6	.6	NUM
ejpam-6144	378	2	n	n	NUM
ejpam-6144	378	3	m	m	VERB
ejpam-6144	378	4	r	r	NOUN
ejpam-6144	378	5	e	e	NOUN
ejpam-6144	378	6	γ	γ	X
ejpam-6144	378	7	τ	τ	PROPN
ejpam-6144	378	8	θ	θ	PROPN
ejpam-6144	378	9	figure	figure	NOUN
ejpam-6144	378	10	4	4	NUM
ejpam-6144	378	11	:	:	PUNCT
ejpam-6144	378	12	the	the	DET
ejpam-6144	378	13	parameter	parameter	NOUN
ejpam-6144	378	14	biases	bias	NOUN
ejpam-6144	378	15	,	,	PUNCT
ejpam-6144	378	16	mse	mse	PROPN
ejpam-6144	378	17	,	,	PUNCT
ejpam-6144	378	18	and	and	CCONJ
ejpam-6144	378	19	mre	mre	PROPN
ejpam-6144	378	20	for	for	ADP
ejpam-6144	378	21	schema	schema	PROPN
ejpam-6144	378	22	ii	ii	PROPN
ejpam-6144	378	23	.	.	PUNCT
ejpam-6144	378	24	m.	m.	PROPN
ejpam-6144	378	25	s.	s.	PROPN
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ejpam-6144	378	27	,	,	PUNCT
ejpam-6144	378	28	w.	w.	PROPN
ejpam-6144	378	29	e.	e.	PROPN
ejpam-6144	378	30	alghanem	alghanem	PROPN
ejpam-6144	378	31	,	,	PUNCT
ejpam-6144	378	32	m.	m.	NOUN
ejpam-6144	378	33	a.	a.	NOUN
ejpam-6144	378	34	alenizi	alenizi	PROPN
ejpam-6144	378	35	/	/	SYM
ejpam-6144	378	36	eur	eur	PROPN
ejpam-6144	378	37	.	.	PUNCT
ejpam-6144	379	1	j.	j.	PROPN
ejpam-6144	379	2	pure	pure	PROPN
ejpam-6144	379	3	appl	appl	PROPN
ejpam-6144	379	4	.	.	PROPN
ejpam-6144	379	5	math	math	PROPN
ejpam-6144	379	6	,	,	PUNCT
ejpam-6144	379	7	18	18	NUM
ejpam-6144	379	8	(	(	PUNCT
ejpam-6144	379	9	2	2	NUM
ejpam-6144	379	10	)	)	PUNCT
ejpam-6144	379	11	(	(	PUNCT
ejpam-6144	379	12	2025	2025	NUM
ejpam-6144	379	13	)	)	PUNCT
ejpam-6144	379	14	,	,	PUNCT
ejpam-6144	379	15	6144	6144	NUM
ejpam-6144	379	16	15	15	NUM
ejpam-6144	379	17	of	of	ADP
ejpam-6144	379	18	26	26	NUM
ejpam-6144	379	19	100	100	NUM
ejpam-6144	379	20	200	200	NUM
ejpam-6144	379	21	300	300	NUM
ejpam-6144	379	22	400	400	NUM
ejpam-6144	379	23	500	500	NUM
ejpam-6144	379	24	0	0	NUM
ejpam-6144	379	25	.0	.0	NUM
ejpam-6144	379	26	0	0	NUM
ejpam-6144	380	1	.2	.2	NUM
ejpam-6144	380	2	0	0	NUM
ejpam-6144	381	1	.4	.4	NUM
ejpam-6144	381	2	0	0	NUM
ejpam-6144	382	1	.6	.6	NUM
ejpam-6144	382	2	0	0	NUM
ejpam-6144	382	3	.8	.8	NUM
ejpam-6144	382	4	1	1	NUM
ejpam-6144	382	5	.0	.0	NUM
ejpam-6144	382	6	1	1	NUM
ejpam-6144	382	7	.2	.2	NUM
ejpam-6144	382	8	n	n	PROPN
ejpam-6144	382	9	b	b	PROPN
ejpam-6144	382	10	ia	ia	PROPN
ejpam-6144	382	11	s	s	PROPN
ejpam-6144	382	12	100	100	NUM
ejpam-6144	382	13	200	200	NUM
ejpam-6144	382	14	300	300	NUM
ejpam-6144	382	15	400	400	NUM
ejpam-6144	382	16	500	500	NUM
ejpam-6144	382	17	0	0	NUM
ejpam-6144	382	18	.0	.0	NUM
ejpam-6144	382	19	0	0	NUM
ejpam-6144	383	1	.2	.2	NUM
ejpam-6144	383	2	0	0	NUM
ejpam-6144	384	1	.4	.4	NUM
ejpam-6144	384	2	0	0	NUM
ejpam-6144	385	1	.6	.6	NUM
ejpam-6144	385	2	0	0	NUM
ejpam-6144	385	3	.8	.8	NUM
ejpam-6144	385	4	1	1	NUM
ejpam-6144	385	5	.0	.0	NUM
ejpam-6144	385	6	1	1	NUM
ejpam-6144	385	7	.2	.2	NUM
ejpam-6144	385	8	n	n	PROPN
ejpam-6144	385	9	b	b	PROPN
ejpam-6144	385	10	ia	ia	PROPN
ejpam-6144	385	11	s	s	PROPN
ejpam-6144	385	12	100	100	NUM
ejpam-6144	385	13	200	200	NUM
ejpam-6144	385	14	300	300	NUM
ejpam-6144	385	15	400	400	NUM
ejpam-6144	385	16	500	500	NUM
ejpam-6144	385	17	0	0	NUM
ejpam-6144	385	18	.0	.0	NUM
ejpam-6144	385	19	0	0	NUM
ejpam-6144	386	1	.2	.2	NUM
ejpam-6144	386	2	0	0	NUM
ejpam-6144	387	1	.4	.4	NUM
ejpam-6144	387	2	0	0	NUM
ejpam-6144	388	1	.6	.6	NUM
ejpam-6144	388	2	0	0	NUM
ejpam-6144	388	3	.8	.8	NUM
ejpam-6144	388	4	1	1	NUM
ejpam-6144	388	5	.0	.0	NUM
ejpam-6144	388	6	1	1	NUM
ejpam-6144	388	7	.2	.2	NUM
ejpam-6144	388	8	n	n	PROPN
ejpam-6144	388	9	b	b	PROPN
ejpam-6144	388	10	ia	ia	PROPN
ejpam-6144	388	11	s	s	PART
ejpam-6144	388	12	γ	γ	X
ejpam-6144	388	13	τ	τ	PROPN
ejpam-6144	388	14	θ	θ	PROPN
ejpam-6144	388	15	100	100	NUM
ejpam-6144	388	16	200	200	NUM
ejpam-6144	388	17	300	300	NUM
ejpam-6144	388	18	400	400	NUM
ejpam-6144	388	19	500	500	NUM
ejpam-6144	388	20	0	0	NUM
ejpam-6144	388	21	.0	.0	NUM
ejpam-6144	388	22	0	0	NUM
ejpam-6144	389	1	.2	.2	NUM
ejpam-6144	389	2	0	0	NUM
ejpam-6144	390	1	.4	.4	NUM
ejpam-6144	390	2	0	0	NUM
ejpam-6144	391	1	.6	.6	NUM
ejpam-6144	391	2	0	0	NUM
ejpam-6144	391	3	.8	.8	NUM
ejpam-6144	391	4	1	1	NUM
ejpam-6144	391	5	.0	.0	NUM
ejpam-6144	392	1	n	n	PRON
ejpam-6144	393	1	m	m	NOUN
ejpam-6144	393	2	s	s	NOUN
ejpam-6144	393	3	e	e	NOUN
ejpam-6144	393	4	100	100	NUM
ejpam-6144	393	5	200	200	NUM
ejpam-6144	393	6	300	300	NUM
ejpam-6144	393	7	400	400	NUM
ejpam-6144	393	8	500	500	NUM
ejpam-6144	393	9	0	0	NUM
ejpam-6144	393	10	.0	.0	NUM
ejpam-6144	393	11	0	0	NUM
ejpam-6144	394	1	.2	.2	NUM
ejpam-6144	394	2	0	0	NUM
ejpam-6144	395	1	.4	.4	NUM
ejpam-6144	395	2	0	0	NUM
ejpam-6144	396	1	.6	.6	NUM
ejpam-6144	396	2	0	0	NUM
ejpam-6144	396	3	.8	.8	NUM
ejpam-6144	396	4	1	1	NUM
ejpam-6144	396	5	.0	.0	NUM
ejpam-6144	397	1	n	n	PRON
ejpam-6144	398	1	m	m	NOUN
ejpam-6144	398	2	s	s	NOUN
ejpam-6144	398	3	e	e	NOUN
ejpam-6144	398	4	100	100	NUM
ejpam-6144	398	5	200	200	NUM
ejpam-6144	398	6	300	300	NUM
ejpam-6144	398	7	400	400	NUM
ejpam-6144	398	8	500	500	NUM
ejpam-6144	398	9	0	0	NUM
ejpam-6144	398	10	.0	.0	NUM
ejpam-6144	398	11	0	0	NUM
ejpam-6144	399	1	.2	.2	NUM
ejpam-6144	399	2	0	0	NUM
ejpam-6144	400	1	.4	.4	NUM
ejpam-6144	400	2	0	0	NUM
ejpam-6144	401	1	.6	.6	NUM
ejpam-6144	401	2	0	0	NUM
ejpam-6144	401	3	.8	.8	NUM
ejpam-6144	401	4	1	1	NUM
ejpam-6144	401	5	.0	.0	NUM
ejpam-6144	401	6	n	n	PRON
ejpam-6144	401	7	m	m	NOUN
ejpam-6144	401	8	s	s	PROPN
ejpam-6144	401	9	e	e	X
ejpam-6144	401	10	γ	γ	X
ejpam-6144	401	11	τ	τ	PROPN
ejpam-6144	401	12	θ	θ	PROPN
ejpam-6144	401	13	100	100	NUM
ejpam-6144	401	14	200	200	NUM
ejpam-6144	401	15	300	300	NUM
ejpam-6144	401	16	400	400	NUM
ejpam-6144	401	17	500	500	NUM
ejpam-6144	401	18	0	0	NUM
ejpam-6144	402	1	.0	.0	NUM
ejpam-6144	402	2	0	0	NUM
ejpam-6144	403	1	.2	.2	NUM
ejpam-6144	403	2	0	0	NUM
ejpam-6144	404	1	.4	.4	NUM
ejpam-6144	404	2	0	0	NUM
ejpam-6144	405	1	.6	.6	NUM
ejpam-6144	405	2	0	0	NUM
ejpam-6144	405	3	.8	.8	PROPN
ejpam-6144	406	1	n	n	CCONJ
ejpam-6144	406	2	m	m	VERB
ejpam-6144	406	3	r	r	NOUN
ejpam-6144	406	4	e	e	NOUN
ejpam-6144	406	5	100	100	NUM
ejpam-6144	406	6	200	200	NUM
ejpam-6144	407	1	300	300	NUM
ejpam-6144	407	2	400	400	NUM
ejpam-6144	407	3	500	500	NUM
ejpam-6144	407	4	0	0	NUM
ejpam-6144	407	5	.0	.0	NUM
ejpam-6144	407	6	0	0	NUM
ejpam-6144	408	1	.2	.2	NUM
ejpam-6144	408	2	0	0	NUM
ejpam-6144	409	1	.4	.4	NUM
ejpam-6144	409	2	0	0	NUM
ejpam-6144	410	1	.6	.6	NUM
ejpam-6144	410	2	0	0	NUM
ejpam-6144	410	3	.8	.8	PROPN
ejpam-6144	411	1	n	n	CCONJ
ejpam-6144	411	2	m	m	VERB
ejpam-6144	411	3	r	r	NOUN
ejpam-6144	411	4	e	e	NOUN
ejpam-6144	411	5	100	100	NUM
ejpam-6144	411	6	200	200	NUM
ejpam-6144	412	1	300	300	NUM
ejpam-6144	412	2	400	400	NUM
ejpam-6144	412	3	500	500	NUM
ejpam-6144	412	4	0	0	NUM
ejpam-6144	412	5	.0	.0	NUM
ejpam-6144	412	6	0	0	NUM
ejpam-6144	413	1	.2	.2	NUM
ejpam-6144	413	2	0	0	NUM
ejpam-6144	414	1	.4	.4	NUM
ejpam-6144	414	2	0	0	NUM
ejpam-6144	415	1	.6	.6	NUM
ejpam-6144	415	2	0	0	NUM
ejpam-6144	415	3	.8	.8	PROPN
ejpam-6144	416	1	n	n	CCONJ
ejpam-6144	416	2	m	m	NOUN
ejpam-6144	416	3	r	r	NOUN
ejpam-6144	416	4	e	e	NOUN
ejpam-6144	416	5	γ	γ	X
ejpam-6144	416	6	τ	τ	PROPN
ejpam-6144	416	7	θ	θ	PROPN
ejpam-6144	416	8	figure	figure	NOUN
ejpam-6144	416	9	5	5	NUM
ejpam-6144	416	10	:	:	PUNCT
ejpam-6144	416	11	the	the	DET
ejpam-6144	416	12	parameter	parameter	NOUN
ejpam-6144	416	13	biases	bias	NOUN
ejpam-6144	416	14	,	,	PUNCT
ejpam-6144	416	15	mse	mse	PROPN
ejpam-6144	416	16	,	,	PUNCT
ejpam-6144	416	17	and	and	CCONJ
ejpam-6144	416	18	mre	mre	PROPN
ejpam-6144	416	19	for	for	ADP
ejpam-6144	416	20	schema	schema	NOUN
ejpam-6144	416	21	iii	iii	NOUN
ejpam-6144	416	22	.	.	PUNCT
ejpam-6144	417	1	the	the	DET
ejpam-6144	417	2	simulation	simulation	NOUN
ejpam-6144	417	3	results	result	VERB
ejpam-6144	417	4	highlight	highlight	VERB
ejpam-6144	417	5	the	the	DET
ejpam-6144	417	6	excellent	excellent	ADJ
ejpam-6144	417	7	performance	performance	NOUN
ejpam-6144	417	8	of	of	ADP
ejpam-6144	417	9	the	the	DET
ejpam-6144	417	10	estimators	estimator	NOUN
ejpam-6144	417	11	in	in	ADP
ejpam-6144	417	12	terms	term	NOUN
ejpam-6144	417	13	of	of	ADP
ejpam-6144	417	14	bias	bias	NOUN
ejpam-6144	417	15	,	,	PUNCT
ejpam-6144	417	16	mse	mse	PROPN
ejpam-6144	417	17	,	,	PUNCT
ejpam-6144	417	18	and	and	CCONJ
ejpam-6144	417	19	mre	mre	NOUN
ejpam-6144	417	20	for	for	ADP
ejpam-6144	417	21	larger	large	ADJ
ejpam-6144	417	22	sample	sample	NOUN
ejpam-6144	417	23	sizes	size	NOUN
ejpam-6144	417	24	.	.	PUNCT
ejpam-6144	418	1	in	in	ADP
ejpam-6144	418	2	schemas	schema	NOUN
ejpam-6144	418	3	i	i	PROPN
ejpam-6144	418	4	,	,	PUNCT
ejpam-6144	418	5	ii	ii	PROPN
ejpam-6144	418	6	,	,	PUNCT
ejpam-6144	418	7	and	and	CCONJ
ejpam-6144	418	8	iii	iii	NOUN
ejpam-6144	418	9	,	,	PUNCT
ejpam-6144	418	10	the	the	DET
ejpam-6144	418	11	bias	bias	NOUN
ejpam-6144	418	12	of	of	ADP
ejpam-6144	418	13	the	the	DET
ejpam-6144	418	14	estimators	estimator	NOUN
ejpam-6144	418	15	decreases	decrease	VERB
ejpam-6144	418	16	as	as	SCONJ
ejpam-6144	418	17	the	the	DET
ejpam-6144	418	18	sample	sample	NOUN
ejpam-6144	418	19	size	size	NOUN
ejpam-6144	418	20	increases	increase	NOUN
ejpam-6144	418	21	,	,	PUNCT
ejpam-6144	418	22	with	with	ADP
ejpam-6144	418	23	bias	bias	NOUN
ejpam-6144	418	24	values	value	NOUN
ejpam-6144	418	25	approaching	approach	VERB
ejpam-6144	418	26	zero	zero	NUM
ejpam-6144	418	27	,	,	PUNCT
ejpam-6144	418	28	indicating	indicate	VERB
ejpam-6144	418	29	that	that	SCONJ
ejpam-6144	418	30	the	the	DET
ejpam-6144	418	31	estimators	estimator	NOUN
ejpam-6144	418	32	become	become	VERB
ejpam-6144	418	33	nearly	nearly	ADV
ejpam-6144	418	34	unbiased	unbiased	ADJ
ejpam-6144	418	35	as	as	SCONJ
ejpam-6144	418	36	the	the	DET
ejpam-6144	418	37	sample	sample	NOUN
ejpam-6144	418	38	size	size	NOUN
ejpam-6144	418	39	grows	grow	VERB
ejpam-6144	418	40	.	.	PUNCT
ejpam-6144	419	1	in	in	ADP
ejpam-6144	419	2	schema	schema	NOUN
ejpam-6144	419	3	i	i	PRON
ejpam-6144	419	4	,	,	PUNCT
ejpam-6144	419	5	the	the	DET
ejpam-6144	419	6	estimators	estimator	NOUN
ejpam-6144	419	7	exhibit	exhibit	VERB
ejpam-6144	419	8	minimal	minimal	ADJ
ejpam-6144	419	9	bias	bias	NOUN
ejpam-6144	419	10	across	across	ADP
ejpam-6144	419	11	all	all	DET
ejpam-6144	419	12	sample	sample	NOUN
ejpam-6144	419	13	sizes	size	NOUN
ejpam-6144	419	14	,	,	PUNCT
ejpam-6144	419	15	and	and	CCONJ
ejpam-6144	419	16	both	both	CCONJ
ejpam-6144	419	17	the	the	DET
ejpam-6144	419	18	mse	mse	NOUN
ejpam-6144	419	19	and	and	CCONJ
ejpam-6144	419	20	mre	mre	PROPN
ejpam-6144	419	21	steadily	steadily	ADV
ejpam-6144	419	22	decrease	decrease	VERB
ejpam-6144	419	23	as	as	ADP
ejpam-6144	419	24	n	n	DET
ejpam-6144	419	25	increases	increase	NOUN
ejpam-6144	419	26	,	,	PUNCT
ejpam-6144	419	27	suggesting	suggest	VERB
ejpam-6144	419	28	improved	improved	ADJ
ejpam-6144	419	29	accuracy	accuracy	NOUN
ejpam-6144	419	30	and	and	CCONJ
ejpam-6144	419	31	precision	precision	NOUN
ejpam-6144	419	32	with	with	ADP
ejpam-6144	419	33	larger	large	ADJ
ejpam-6144	419	34	datasets	dataset	NOUN
ejpam-6144	419	35	.	.	PUNCT
ejpam-6144	420	1	similarly	similarly	ADV
ejpam-6144	420	2	,	,	PUNCT
ejpam-6144	420	3	in	in	ADP
ejpam-6144	420	4	schemas	schema	NOUN
ejpam-6144	420	5	ii	ii	PROPN
ejpam-6144	420	6	and	and	CCONJ
ejpam-6144	420	7	iii	iii	PROPN
ejpam-6144	420	8	,	,	PUNCT
ejpam-6144	420	9	the	the	DET
ejpam-6144	420	10	bias	bias	NOUN
ejpam-6144	420	11	remains	remain	VERB
ejpam-6144	420	12	consistently	consistently	ADV
ejpam-6144	420	13	low	low	ADJ
ejpam-6144	420	14	and	and	CCONJ
ejpam-6144	420	15	continues	continue	VERB
ejpam-6144	420	16	to	to	PART
ejpam-6144	420	17	decrease	decrease	VERB
ejpam-6144	420	18	as	as	SCONJ
ejpam-6144	420	19	sample	sample	NOUN
ejpam-6144	420	20	sizes	size	NOUN
ejpam-6144	420	21	increase	increase	VERB
ejpam-6144	420	22	,	,	PUNCT
ejpam-6144	420	23	demonstrating	demonstrate	VERB
ejpam-6144	420	24	the	the	DET
ejpam-6144	420	25	robustness	robustness	NOUN
ejpam-6144	420	26	of	of	ADP
ejpam-6144	420	27	the	the	DET
ejpam-6144	420	28	model	model	NOUN
ejpam-6144	420	29	’s	’s	PART
ejpam-6144	420	30	estimators	estimator	NOUN
ejpam-6144	420	31	.	.	PUNCT
ejpam-6144	421	1	the	the	DET
ejpam-6144	421	2	mse	mse	PROPN
ejpam-6144	421	3	and	and	CCONJ
ejpam-6144	421	4	mre	mre	PROPN
ejpam-6144	421	5	also	also	ADV
ejpam-6144	421	6	show	show	VERB
ejpam-6144	421	7	a	a	DET
ejpam-6144	421	8	clear	clear	ADJ
ejpam-6144	421	9	reduction	reduction	NOUN
ejpam-6144	421	10	as	as	ADP
ejpam-6144	421	11	n	n	PRON
ejpam-6144	421	12	grows	grow	NOUN
ejpam-6144	421	13	,	,	PUNCT
ejpam-6144	421	14	indicating	indicate	VERB
ejpam-6144	421	15	that	that	SCONJ
ejpam-6144	421	16	the	the	DET
ejpam-6144	421	17	estimators	estimator	NOUN
ejpam-6144	421	18	become	become	VERB
ejpam-6144	421	19	more	more	ADV
ejpam-6144	421	20	efficient	efficient	ADJ
ejpam-6144	421	21	with	with	ADP
ejpam-6144	421	22	larger	large	ADJ
ejpam-6144	421	23	samples	sample	NOUN
ejpam-6144	421	24	.	.	PUNCT
ejpam-6144	422	1	overall	overall	ADJ
ejpam-6144	422	2	,	,	PUNCT
ejpam-6144	422	3	across	across	ADP
ejpam-6144	422	4	all	all	DET
ejpam-6144	422	5	schemas	schema	NOUN
ejpam-6144	422	6	,	,	PUNCT
ejpam-6144	422	7	the	the	DET
ejpam-6144	422	8	estimators	estimator	NOUN
ejpam-6144	422	9	perform	perform	VERB
ejpam-6144	422	10	exceptionally	exceptionally	ADV
ejpam-6144	422	11	well	well	ADV
ejpam-6144	422	12	,	,	PUNCT
ejpam-6144	422	13	showing	show	VERB
ejpam-6144	422	14	low	low	ADJ
ejpam-6144	422	15	bias	bias	NOUN
ejpam-6144	422	16	,	,	PUNCT
ejpam-6144	422	17	mse	mse	PROPN
ejpam-6144	422	18	,	,	PUNCT
ejpam-6144	422	19	and	and	CCONJ
ejpam-6144	422	20	mre	mre	NOUN
ejpam-6144	422	21	,	,	PUNCT
ejpam-6144	422	22	especially	especially	ADV
ejpam-6144	422	23	as	as	SCONJ
ejpam-6144	422	24	sample	sample	NOUN
ejpam-6144	422	25	sizes	size	NOUN
ejpam-6144	422	26	increase	increase	VERB
ejpam-6144	422	27	.	.	PUNCT
ejpam-6144	423	1	these	these	DET
ejpam-6144	423	2	findings	finding	NOUN
ejpam-6144	423	3	underscore	underscore	VERB
ejpam-6144	423	4	the	the	DET
ejpam-6144	423	5	effectiveness	effectiveness	NOUN
ejpam-6144	423	6	and	and	CCONJ
ejpam-6144	423	7	reliability	reliability	NOUN
ejpam-6144	423	8	of	of	ADP
ejpam-6144	423	9	the	the	DET
ejpam-6144	423	10	mle	mle	PROPN
ejpam-6144	423	11	method	method	NOUN
ejpam-6144	423	12	for	for	ADP
ejpam-6144	423	13	the	the	DET
ejpam-6144	423	14	dgzhlo	dgzhlo	PROPN
ejpam-6144	423	15	model	model	NOUN
ejpam-6144	423	16	in	in	ADP
ejpam-6144	423	17	practical	practical	ADJ
ejpam-6144	423	18	applications	application	NOUN
ejpam-6144	423	19	,	,	PUNCT
ejpam-6144	423	20	highlighting	highlight	VERB
ejpam-6144	423	21	the	the	DET
ejpam-6144	423	22	robustness	robustness	NOUN
ejpam-6144	423	23	of	of	ADP
ejpam-6144	423	24	the	the	DET
ejpam-6144	423	25	estimation	estimation	NOUN
ejpam-6144	423	26	process	process	NOUN
ejpam-6144	423	27	and	and	CCONJ
ejpam-6144	423	28	its	its	PRON
ejpam-6144	423	29	suitability	suitability	NOUN
ejpam-6144	423	30	for	for	ADP
ejpam-6144	423	31	modeling	model	VERB
ejpam-6144	423	32	real	real	ADJ
ejpam-6144	423	33	-	-	PUNCT
ejpam-6144	423	34	world	world	NOUN
ejpam-6144	423	35	data	datum	NOUN
ejpam-6144	423	36	.	.	PUNCT
ejpam-6144	424	1	6	6	X
ejpam-6144	424	2	.	.	X
ejpam-6144	424	3	sustainable	sustainable	ADJ
ejpam-6144	424	4	data	datum	NOUN
ejpam-6144	424	5	analysis	analysis	NOUN
ejpam-6144	424	6	sustainable	sustainable	ADJ
ejpam-6144	424	7	dispersion	dispersion	NOUN
ejpam-6144	424	8	data	datum	NOUN
ejpam-6144	424	9	modeling	modeling	NOUN
ejpam-6144	424	10	using	use	VERB
ejpam-6144	424	11	discrete	discrete	ADJ
ejpam-6144	424	12	probability	probability	NOUN
ejpam-6144	424	13	distributions	distribution	NOUN
ejpam-6144	424	14	helps	helps	AUX
ejpam-6144	424	15	manage	manage	VERB
ejpam-6144	424	16	variability	variability	NOUN
ejpam-6144	424	17	in	in	ADP
ejpam-6144	424	18	count	count	NOUN
ejpam-6144	424	19	data	datum	NOUN
ejpam-6144	424	20	within	within	ADP
ejpam-6144	424	21	engineering	engineering	NOUN
ejpam-6144	424	22	applications	application	NOUN
ejpam-6144	424	23	,	,	PUNCT
ejpam-6144	424	24	especially	especially	ADV
ejpam-6144	424	25	in	in	ADP
ejpam-6144	424	26	reliability	reliability	NOUN
ejpam-6144	424	27	analysis	analysis	NOUN
ejpam-6144	424	28	,	,	PUNCT
ejpam-6144	424	29	system	system	NOUN
ejpam-6144	424	30	maintenance	maintenance	NOUN
ejpam-6144	424	31	,	,	PUNCT
ejpam-6144	424	32	and	and	CCONJ
ejpam-6144	424	33	quality	quality	NOUN
ejpam-6144	424	34	control	control	NOUN
ejpam-6144	424	35	.	.	PUNCT
ejpam-6144	425	1	by	by	ADP
ejpam-6144	425	2	applying	apply	VERB
ejpam-6144	425	3	discrete	discrete	ADJ
ejpam-6144	425	4	distributions	distribution	NOUN
ejpam-6144	425	5	,	,	PUNCT
ejpam-6144	425	6	it	it	PRON
ejpam-6144	425	7	m.	m.	NOUN
ejpam-6144	425	8	s.	s.	PROPN
ejpam-6144	425	9	eliwa	eliwa	PROPN
ejpam-6144	425	10	,	,	PUNCT
ejpam-6144	425	11	w.	w.	PROPN
ejpam-6144	425	12	e.	e.	PROPN
ejpam-6144	425	13	alghanem	alghanem	PROPN
ejpam-6144	425	14	,	,	PUNCT
ejpam-6144	425	15	m.	m.	NOUN
ejpam-6144	425	16	a.	a.	NOUN
ejpam-6144	425	17	alenizi	alenizi	PROPN
ejpam-6144	425	18	/	/	SYM
ejpam-6144	425	19	eur	eur	PROPN
ejpam-6144	425	20	.	.	PUNCT
ejpam-6144	426	1	j.	j.	PROPN
ejpam-6144	426	2	pure	pure	PROPN
ejpam-6144	426	3	appl	appl	PROPN
ejpam-6144	426	4	.	.	PROPN
ejpam-6144	426	5	math	math	PROPN
ejpam-6144	426	6	,	,	PUNCT
ejpam-6144	426	7	18	18	NUM
ejpam-6144	426	8	(	(	PUNCT
ejpam-6144	426	9	2	2	NUM
ejpam-6144	426	10	)	)	PUNCT
ejpam-6144	426	11	(	(	PUNCT
ejpam-6144	426	12	2025	2025	NUM
ejpam-6144	426	13	)	)	PUNCT
ejpam-6144	426	14	,	,	PUNCT
ejpam-6144	426	15	6144	6144	NUM
ejpam-6144	426	16	16	16	NUM
ejpam-6144	426	17	of	of	ADP
ejpam-6144	426	18	26	26	NUM
ejpam-6144	426	19	effectively	effectively	ADV
ejpam-6144	426	20	captures	capture	VERB
ejpam-6144	426	21	fluctuations	fluctuation	NOUN
ejpam-6144	426	22	in	in	ADP
ejpam-6144	426	23	failure	failure	NOUN
ejpam-6144	426	24	rates	rate	NOUN
ejpam-6144	426	25	and	and	CCONJ
ejpam-6144	426	26	component	component	NOUN
ejpam-6144	426	27	lifespans	lifespan	NOUN
ejpam-6144	426	28	.	.	PUNCT
ejpam-6144	427	1	these	these	DET
ejpam-6144	427	2	models	model	NOUN
ejpam-6144	427	3	account	account	VERB
ejpam-6144	427	4	for	for	ADP
ejpam-6144	427	5	overdispersion	overdispersion	NOUN
ejpam-6144	427	6	,	,	PUNCT
ejpam-6144	427	7	where	where	SCONJ
ejpam-6144	427	8	the	the	DET
ejpam-6144	427	9	variance	variance	NOUN
ejpam-6144	427	10	surpasses	surpass	VERB
ejpam-6144	427	11	the	the	DET
ejpam-6144	427	12	mean	mean	NOUN
ejpam-6144	427	13	,	,	PUNCT
ejpam-6144	427	14	a	a	DET
ejpam-6144	427	15	typical	typical	ADJ
ejpam-6144	427	16	feature	feature	NOUN
ejpam-6144	427	17	of	of	ADP
ejpam-6144	427	18	engineering	engineering	NOUN
ejpam-6144	427	19	systems	system	NOUN
ejpam-6144	427	20	with	with	ADP
ejpam-6144	427	21	high	high	ADJ
ejpam-6144	427	22	variability	variability	NOUN
ejpam-6144	427	23	.	.	PUNCT
ejpam-6144	428	1	in	in	ADP
ejpam-6144	428	2	this	this	DET
ejpam-6144	428	3	section	section	NOUN
ejpam-6144	428	4	,	,	PUNCT
ejpam-6144	428	5	we	we	PRON
ejpam-6144	428	6	demonstrate	demonstrate	VERB
ejpam-6144	428	7	the	the	DET
ejpam-6144	428	8	practical	practical	ADJ
ejpam-6144	428	9	significance	significance	NOUN
ejpam-6144	428	10	of	of	ADP
ejpam-6144	428	11	the	the	DET
ejpam-6144	428	12	dgzhlo	dgzhlo	PROPN
ejpam-6144	428	13	distribution	distribution	NOUN
ejpam-6144	428	14	through	through	ADP
ejpam-6144	428	15	two	two	NUM
ejpam-6144	428	16	real	real	ADJ
ejpam-6144	428	17	data	datum	NOUN
ejpam-6144	428	18	applications	application	NOUN
ejpam-6144	428	19	.	.	PUNCT
ejpam-6144	429	1	the	the	DET
ejpam-6144	429	2	performance	performance	NOUN
ejpam-6144	429	3	of	of	ADP
ejpam-6144	429	4	the	the	DET
ejpam-6144	429	5	fitted	fit	VERB
ejpam-6144	429	6	models	model	NOUN
ejpam-6144	429	7	is	be	AUX
ejpam-6144	429	8	assessed	assess	VERB
ejpam-6144	429	9	using	use	VERB
ejpam-6144	429	10	multiple	multiple	ADJ
ejpam-6144	429	11	criteria	criterion	NOUN
ejpam-6144	429	12	,	,	PUNCT
ejpam-6144	429	13	including	include	VERB
ejpam-6144	429	14	−l	−l	NOUN
ejpam-6144	429	15	,	,	PUNCT
ejpam-6144	429	16	akaike	akaike	ADJ
ejpam-6144	429	17	information	information	NOUN
ejpam-6144	429	18	criterion	criterion	NOUN
ejpam-6144	429	19	(	(	PUNCT
ejpam-6144	429	20	aic	aic	PROPN
ejpam-6144	429	21	)	)	PUNCT
ejpam-6144	429	22	,	,	PUNCT
ejpam-6144	429	23	corrected	correct	VERB
ejpam-6144	429	24	akaike	akaike	ADJ
ejpam-6144	429	25	information	information	NOUN
ejpam-6144	429	26	criterion	criterion	NOUN
ejpam-6144	429	27	(	(	PUNCT
ejpam-6144	429	28	caic	caic	PROPN
ejpam-6144	429	29	)	)	PUNCT
ejpam-6144	429	30	,	,	PUNCT
ejpam-6144	429	31	chi	chi	NOUN
ejpam-6144	429	32	-	-	PUNCT
ejpam-6144	429	33	square	square	ADJ
ejpam-6144	429	34	(	(	PUNCT
ejpam-6144	429	35	χ2	χ2	PROPN
ejpam-6144	429	36	)	)	PUNCT
ejpam-6144	429	37	along	along	ADP
ejpam-6144	429	38	with	with	ADP
ejpam-6144	429	39	its	its	PRON
ejpam-6144	429	40	p	p	NOUN
ejpam-6144	429	41	-	-	PUNCT
ejpam-6144	429	42	value	value	NOUN
ejpam-6144	429	43	,	,	PUNCT
ejpam-6144	429	44	and	and	CCONJ
ejpam-6144	429	45	the	the	DET
ejpam-6144	429	46	kolmogorov	kolmogorov	ADJ
ejpam-6144	429	47	-	-	PUNCT
ejpam-6144	429	48	smirnov	smirnov	NOUN
ejpam-6144	429	49	(	(	PUNCT
ejpam-6144	429	50	k	k	NOUN
ejpam-6144	429	51	-	-	PUNCT
ejpam-6144	429	52	s	s	NOUN
ejpam-6144	429	53	)	)	PUNCT
ejpam-6144	429	54	test	test	NOUN
ejpam-6144	429	55	with	with	ADP
ejpam-6144	429	56	its	its	PRON
ejpam-6144	429	57	corresponding	corresponding	ADJ
ejpam-6144	429	58	p	p	NOUN
ejpam-6144	429	59	-	-	PUNCT
ejpam-6144	429	60	value	value	NOUN
ejpam-6144	429	61	.	.	PUNCT
ejpam-6144	430	1	the	the	DET
ejpam-6144	430	2	dgzhlo	dgzhlo	PROPN
ejpam-6144	430	3	distribution	distribution	NOUN
ejpam-6144	430	4	will	will	AUX
ejpam-6144	430	5	be	be	AUX
ejpam-6144	430	6	compared	compare	VERB
ejpam-6144	430	7	against	against	ADP
ejpam-6144	430	8	several	several	ADJ
ejpam-6144	430	9	competing	compete	VERB
ejpam-6144	430	10	models	model	NOUN
ejpam-6144	430	11	presented	present	VERB
ejpam-6144	430	12	in	in	ADP
ejpam-6144	430	13	table	table	NOUN
ejpam-6144	430	14	2	2	NUM
ejpam-6144	430	15	.	.	PUNCT
ejpam-6144	430	16	table	table	NOUN
ejpam-6144	430	17	2	2	NUM
ejpam-6144	430	18	.	.	PUNCT
ejpam-6144	431	1	the	the	DET
ejpam-6144	431	2	competitive	competitive	ADJ
ejpam-6144	431	3	models	model	NOUN
ejpam-6144	431	4	of	of	ADP
ejpam-6144	431	5	the	the	DET
ejpam-6144	431	6	dgzhlo	dgzhlo	NOUN
ejpam-6144	431	7	distribution	distribution	NOUN
ejpam-6144	431	8	.	.	PUNCT
ejpam-6144	432	1	distribution	distribution	NOUN
ejpam-6144	432	2	abbreviation	abbreviation	NOUN
ejpam-6144	432	3	discrete	discrete	NOUN
ejpam-6144	432	4	weibull	weibull	PROPN
ejpam-6144	432	5	dw	dw	PROPN
ejpam-6144	432	6	exponentiated	exponentiate	VERB
ejpam-6144	432	7	discrete	discrete	ADJ
ejpam-6144	432	8	weibull	weibull	PROPN
ejpam-6144	432	9	edw	edw	PROPN
ejpam-6144	432	10	discrete	discrete	ADJ
ejpam-6144	432	11	inverse	inverse	NOUN
ejpam-6144	432	12	weibull	weibull	PROPN
ejpam-6144	432	13	diw	diw	PROPN
ejpam-6144	432	14	discrete	discrete	PROPN
ejpam-6144	432	15	exponential	exponential	PROPN
ejpam-6144	432	16	geo	geo	PROPN
ejpam-6144	432	17	discrete	discrete	VERB
ejpam-6144	432	18	generalized	generalize	VERB
ejpam-6144	432	19	exponential	exponential	ADJ
ejpam-6144	432	20	type	type	NOUN
ejpam-6144	432	21	ii	ii	PROPN
ejpam-6144	432	22	dgex	dgex	NOUN
ejpam-6144	432	23	-	-	PUNCT
ejpam-6144	432	24	ii	ii	NOUN
ejpam-6144	432	25	discrete	discrete	NOUN
ejpam-6144	432	26	rayleigh	rayleigh	PROPN
ejpam-6144	432	27	dr	dr	PROPN
ejpam-6144	432	28	discrete	discrete	ADJ
ejpam-6144	432	29	inverse	inverse	NOUN
ejpam-6144	432	30	rayleigh	rayleigh	PROPN
ejpam-6144	432	31	dir	dir	PROPN
ejpam-6144	432	32	discrete	discrete	ADJ
ejpam-6144	432	33	lindley	lindley	PROPN
ejpam-6144	432	34	dli	dli	PROPN
ejpam-6144	432	35	exponentiated	exponentiate	VERB
ejpam-6144	432	36	discrete	discrete	ADJ
ejpam-6144	432	37	lindley	lindley	PROPN
ejpam-6144	432	38	edli	edli	PROPN
ejpam-6144	432	39	discrete	discrete	ADJ
ejpam-6144	432	40	lindley	lindley	PROPN
ejpam-6144	432	41	type	type	NOUN
ejpam-6144	432	42	ii	ii	PROPN
ejpam-6144	432	43	dli	dli	PROPN
ejpam-6144	432	44	-	-	PUNCT
ejpam-6144	432	45	ii	ii	PROPN
ejpam-6144	432	46	discrete	discrete	ADJ
ejpam-6144	432	47	extension	extension	NOUN
ejpam-6144	432	48	xgamma	xgamma	PROPN
ejpam-6144	432	49	dexg	dexg	PROPN
ejpam-6144	432	50	discrete	discrete	ADJ
ejpam-6144	432	51	log	log	NOUN
ejpam-6144	432	52	-	-	PUNCT
ejpam-6144	432	53	logistic	logistic	ADJ
ejpam-6144	432	54	dllc	dllc	NOUN
ejpam-6144	432	55	discrete	discrete	NOUN
ejpam-6144	432	56	lomax	lomax	PROPN
ejpam-6144	432	57	dlo	dlo	PROPN
ejpam-6144	432	58	twoparameter	twoparameter	ADJ
ejpam-6144	432	59	discrete	discrete	ADJ
ejpam-6144	432	60	burr	burr	NOUN
ejpam-6144	432	61	type	type	NOUN
ejpam-6144	432	62	xii	xii	NUM
ejpam-6144	432	63	db	db	PROPN
ejpam-6144	432	64	-	-	PUNCT
ejpam-6144	432	65	xii	xii	PROPN
ejpam-6144	432	66	discrete	discrete	NOUN
ejpam-6144	432	67	pareto	pareto	NOUN
ejpam-6144	432	68	dpa	dpa	NOUN
ejpam-6144	432	69	discrete	discrete	ADJ
ejpam-6144	432	70	inverted	inverted	ADJ
ejpam-6144	432	71	nadarajah	nadarajah	NOUN
ejpam-6144	432	72	–	–	PUNCT
ejpam-6144	432	73	haghighi	haghighi	PROPN
ejpam-6144	432	74	dinh	dinh	PROPN
ejpam-6144	432	75	poisson	poisson	PROPN
ejpam-6144	432	76	poi	poi	PROPN
ejpam-6144	432	77	6.1	6.1	NUM
ejpam-6144	432	78	.	.	PUNCT
ejpam-6144	433	1	dataset	dataset	VERB
ejpam-6144	433	2	i	i	NOUN
ejpam-6144	433	3	:	:	PUNCT
ejpam-6144	433	4	computer	computer	NOUN
ejpam-6144	433	5	breakdowns	breakdown	NOUN
ejpam-6144	433	6	industrial	industrial	ADJ
ejpam-6144	433	7	engineering	engineering	NOUN
ejpam-6144	433	8	focuses	focus	VERB
ejpam-6144	433	9	on	on	ADP
ejpam-6144	433	10	optimizing	optimize	VERB
ejpam-6144	433	11	complex	complex	ADJ
ejpam-6144	433	12	systems	system	NOUN
ejpam-6144	433	13	and	and	CCONJ
ejpam-6144	433	14	processes	process	NOUN
ejpam-6144	433	15	to	to	PART
ejpam-6144	433	16	enhance	enhance	VERB
ejpam-6144	433	17	efficiency	efficiency	NOUN
ejpam-6144	433	18	and	and	CCONJ
ejpam-6144	433	19	productivity	productivity	NOUN
ejpam-6144	433	20	across	across	ADP
ejpam-6144	433	21	various	various	ADJ
ejpam-6144	433	22	sectors	sector	NOUN
ejpam-6144	433	23	.	.	PUNCT
ejpam-6144	434	1	it	it	PRON
ejpam-6144	434	2	involves	involve	VERB
ejpam-6144	434	3	analyzing	analyze	VERB
ejpam-6144	434	4	workflows	workflow	NOUN
ejpam-6144	434	5	,	,	PUNCT
ejpam-6144	434	6	reducing	reduce	VERB
ejpam-6144	434	7	waste	waste	NOUN
ejpam-6144	434	8	,	,	PUNCT
ejpam-6144	434	9	and	and	CCONJ
ejpam-6144	434	10	ensuring	ensure	VERB
ejpam-6144	434	11	the	the	DET
ejpam-6144	434	12	effective	effective	ADJ
ejpam-6144	434	13	utilization	utilization	NOUN
ejpam-6144	434	14	of	of	ADP
ejpam-6144	434	15	resources	resource	NOUN
ejpam-6144	434	16	.	.	PUNCT
ejpam-6144	435	1	a	a	DET
ejpam-6144	435	2	key	key	ADJ
ejpam-6144	435	3	aspect	aspect	NOUN
ejpam-6144	435	4	of	of	ADP
ejpam-6144	435	5	industrial	industrial	ADJ
ejpam-6144	435	6	engineering	engineering	NOUN
ejpam-6144	435	7	is	be	AUX
ejpam-6144	435	8	managing	manage	VERB
ejpam-6144	435	9	machine	machine	NOUN
ejpam-6144	435	10	performance	performance	NOUN
ejpam-6144	435	11	,	,	PUNCT
ejpam-6144	435	12	where	where	SCONJ
ejpam-6144	435	13	engineers	engineer	NOUN
ejpam-6144	435	14	monitor	monitor	VERB
ejpam-6144	435	15	and	and	CCONJ
ejpam-6144	435	16	address	address	NOUN
ejpam-6144	435	17	issues	issue	NOUN
ejpam-6144	435	18	such	such	ADJ
ejpam-6144	435	19	as	as	ADP
ejpam-6144	435	20	computer	computer	NOUN
ejpam-6144	435	21	breakdowns	breakdown	NOUN
ejpam-6144	435	22	that	that	PRON
ejpam-6144	435	23	occur	occur	VERB
ejpam-6144	435	24	over	over	ADP
ejpam-6144	435	25	time	time	NOUN
ejpam-6144	435	26	.	.	PUNCT
ejpam-6144	436	1	these	these	DET
ejpam-6144	436	2	breakdowns	breakdown	NOUN
ejpam-6144	436	3	can	can	AUX
ejpam-6144	436	4	disrupt	disrupt	VERB
ejpam-6144	436	5	production	production	NOUN
ejpam-6144	436	6	schedules	schedule	NOUN
ejpam-6144	436	7	and	and	CCONJ
ejpam-6144	436	8	cause	cause	VERB
ejpam-6144	436	9	downtime	downtime	NOUN
ejpam-6144	436	10	,	,	PUNCT
ejpam-6144	436	11	significantly	significantly	ADV
ejpam-6144	436	12	impacting	impact	VERB
ejpam-6144	436	13	overall	overall	ADJ
ejpam-6144	436	14	productivity	productivity	NOUN
ejpam-6144	436	15	.	.	PUNCT
ejpam-6144	437	1	to	to	PART
ejpam-6144	437	2	mitigate	mitigate	VERB
ejpam-6144	437	3	this	this	PRON
ejpam-6144	437	4	,	,	PUNCT
ejpam-6144	437	5	industrial	industrial	ADJ
ejpam-6144	437	6	engineers	engineer	NOUN
ejpam-6144	437	7	employ	employ	VERB
ejpam-6144	437	8	predictive	predictive	ADJ
ejpam-6144	437	9	maintenance	maintenance	NOUN
ejpam-6144	437	10	strategies	strategy	NOUN
ejpam-6144	437	11	and	and	CCONJ
ejpam-6144	437	12	data	datum	NOUN
ejpam-6144	437	13	analysis	analysis	NOUN
ejpam-6144	437	14	to	to	PART
ejpam-6144	437	15	anticipate	anticipate	VERB
ejpam-6144	437	16	equipment	equipment	NOUN
ejpam-6144	437	17	failures	failure	NOUN
ejpam-6144	437	18	,	,	PUNCT
ejpam-6144	437	19	thus	thus	ADV
ejpam-6144	437	20	minimizing	minimize	VERB
ejpam-6144	437	21	downtime	downtime	NOUN
ejpam-6144	437	22	and	and	CCONJ
ejpam-6144	437	23	improving	improve	VERB
ejpam-6144	437	24	the	the	DET
ejpam-6144	437	25	reliability	reliability	NOUN
ejpam-6144	437	26	of	of	ADP
ejpam-6144	437	27	manufacturing	manufacturing	NOUN
ejpam-6144	437	28	systems	system	NOUN
ejpam-6144	437	29	.	.	PUNCT
ejpam-6144	438	1	this	this	DET
ejpam-6144	438	2	section	section	NOUN
ejpam-6144	438	3	presents	present	VERB
ejpam-6144	438	4	a	a	DET
ejpam-6144	438	5	dataset	dataset	NOUN
ejpam-6144	438	6	that	that	PRON
ejpam-6144	438	7	tracks	track	VERB
ejpam-6144	438	8	the	the	DET
ejpam-6144	438	9	number	number	NOUN
ejpam-6144	438	10	of	of	ADP
ejpam-6144	438	11	computer	computer	NOUN
ejpam-6144	438	12	breakdowns	breakdown	NOUN
ejpam-6144	438	13	over	over	ADP
ejpam-6144	438	14	128	128	NUM
ejpam-6144	438	15	consecutive	consecutive	ADJ
ejpam-6144	438	16	weeks	week	NOUN
ejpam-6144	438	17	of	of	ADP
ejpam-6144	438	18	operation	operation	NOUN
ejpam-6144	438	19	(	(	PUNCT
ejpam-6144	438	20	see	see	VERB
ejpam-6144	438	21	hand	hand	NOUN
ejpam-6144	438	22	et	et	NOUN
ejpam-6144	438	23	al	al	PROPN
ejpam-6144	438	24	.	.	PROPN
ejpam-6144	438	25	,	,	PUNCT
ejpam-6144	439	1	[	[	X
ejpam-6144	439	2	2	2	NUM
ejpam-6144	439	3	]	]	PUNCT
ejpam-6144	439	4	)	)	PUNCT
ejpam-6144	439	5	.	.	PUNCT
ejpam-6144	440	1	figure	figure	NOUN
ejpam-6144	440	2	6	6	NUM
ejpam-6144	440	3	displays	display	VERB
ejpam-6144	440	4	the	the	DET
ejpam-6144	440	5	distribution	distribution	NOUN
ejpam-6144	440	6	of	of	ADP
ejpam-6144	440	7	dataset	dataset	NOUN
ejpam-6144	440	8	i.	i.	NOUN
ejpam-6144	440	9	the	the	DET
ejpam-6144	440	10	results	result	NOUN
ejpam-6144	440	11	show	show	VERB
ejpam-6144	440	12	a	a	DET
ejpam-6144	440	13	moderate	moderate	ADJ
ejpam-6144	440	14	rightm	rightm	NOUN
ejpam-6144	440	15	.	.	PUNCT
ejpam-6144	441	1	s.	s.	PROPN
ejpam-6144	441	2	eliwa	eliwa	PROPN
ejpam-6144	441	3	,	,	PUNCT
ejpam-6144	441	4	w.	w.	PROPN
ejpam-6144	441	5	e.	e.	PROPN
ejpam-6144	441	6	alghanem	alghanem	PROPN
ejpam-6144	441	7	,	,	PUNCT
ejpam-6144	441	8	m.	m.	NOUN
ejpam-6144	441	9	a.	a.	NOUN
ejpam-6144	441	10	alenizi	alenizi	PROPN
ejpam-6144	441	11	/	/	SYM
ejpam-6144	441	12	eur	eur	PROPN
ejpam-6144	441	13	.	.	PUNCT
ejpam-6144	442	1	j.	j.	PROPN
ejpam-6144	442	2	pure	pure	PROPN
ejpam-6144	442	3	appl	appl	PROPN
ejpam-6144	442	4	.	.	PROPN
ejpam-6144	442	5	math	math	PROPN
ejpam-6144	442	6	,	,	PUNCT
ejpam-6144	442	7	18	18	NUM
ejpam-6144	442	8	(	(	PUNCT
ejpam-6144	442	9	2	2	NUM
ejpam-6144	442	10	)	)	PUNCT
ejpam-6144	442	11	(	(	PUNCT
ejpam-6144	442	12	2025	2025	NUM
ejpam-6144	442	13	)	)	PUNCT
ejpam-6144	442	14	,	,	PUNCT
ejpam-6144	442	15	6144	6144	NUM
ejpam-6144	442	16	17	17	NUM
ejpam-6144	442	17	of	of	ADP
ejpam-6144	442	18	26	26	NUM
ejpam-6144	442	19	ward	ward	NOUN
ejpam-6144	442	20	skew	skew	NOUN
ejpam-6144	442	21	,	,	PUNCT
ejpam-6144	442	22	likely	likely	ADJ
ejpam-6144	442	23	due	due	ADP
ejpam-6144	442	24	to	to	ADP
ejpam-6144	442	25	some	some	DET
ejpam-6144	442	26	extreme	extreme	ADJ
ejpam-6144	442	27	observations	observation	NOUN
ejpam-6144	442	28	,	,	PUNCT
ejpam-6144	442	29	as	as	ADV
ejpam-6144	442	30	well	well	ADV
ejpam-6144	442	31	as	as	ADP
ejpam-6144	442	32	a	a	DET
ejpam-6144	442	33	relatively	relatively	ADV
ejpam-6144	442	34	high	high	ADJ
ejpam-6144	442	35	level	level	NOUN
ejpam-6144	442	36	of	of	ADP
ejpam-6144	442	37	variability	variability	NOUN
ejpam-6144	442	38	.	.	PUNCT
ejpam-6144	443	1	the	the	DET
ejpam-6144	443	2	kurtosis	kurtosis	NOUN
ejpam-6144	443	3	suggests	suggest	VERB
ejpam-6144	443	4	that	that	SCONJ
ejpam-6144	443	5	the	the	DET
ejpam-6144	443	6	distribution	distribution	NOUN
ejpam-6144	443	7	has	have	VERB
ejpam-6144	443	8	slightly	slightly	ADV
ejpam-6144	443	9	heavier	heavy	ADJ
ejpam-6144	443	10	tails	tail	NOUN
ejpam-6144	443	11	than	than	ADP
ejpam-6144	443	12	a	a	DET
ejpam-6144	443	13	normal	normal	ADJ
ejpam-6144	443	14	distribution	distribution	NOUN
ejpam-6144	443	15	,	,	PUNCT
ejpam-6144	443	16	indicating	indicate	VERB
ejpam-6144	443	17	some	some	DET
ejpam-6144	443	18	overdispersion	overdispersion	NOUN
ejpam-6144	443	19	.	.	PUNCT
ejpam-6144	444	1	table	table	NOUN
ejpam-6144	444	2	3	3	NUM
ejpam-6144	444	3	presents	present	VERB
ejpam-6144	444	4	the	the	DET
ejpam-6144	444	5	goodness	goodness	NOUN
ejpam-6144	444	6	-	-	PUNCT
ejpam-6144	444	7	of	of	ADP
ejpam-6144	444	8	-	-	PUNCT
ejpam-6144	444	9	fit	fit	NOUN
ejpam-6144	444	10	0	0	NUM
ejpam-6144	444	11	20	20	NUM
ejpam-6144	444	12	40	40	NUM
ejpam-6144	444	13	60	60	NUM
ejpam-6144	444	14	80	80	NUM
ejpam-6144	444	15	100	100	NUM
ejpam-6144	444	16	0	0	NUM
ejpam-6144	444	17	5	5	NUM
ejpam-6144	444	18	1	1	NUM
ejpam-6144	444	19	0	0	NUM
ejpam-6144	444	20	1	1	NUM
ejpam-6144	444	21	5	5	NUM
ejpam-6144	444	22	2	2	NUM
ejpam-6144	444	23	0	0	NUM
ejpam-6144	444	24	scatter	scatter	NOUN
ejpam-6144	444	25	|	|	NOUN
ejpam-6144	444	26	scores	score	VERB
ejpam-6144	444	27	height	height	NOUN
ejpam-6144	444	28	s	s	X
ejpam-6144	444	29	c	c	NOUN
ejpam-6144	444	30	o	o	X
ejpam-6144	444	31	re	re	X
ejpam-6144	444	32	s	s	PROPN
ejpam-6144	444	33	−2	−2	NOUN
ejpam-6144	444	34	−1	−1	NOUN
ejpam-6144	444	35	0	0	NUM
ejpam-6144	444	36	1	1	NUM
ejpam-6144	444	37	2	2	NUM
ejpam-6144	444	38	0	0	NUM
ejpam-6144	444	39	5	5	NUM
ejpam-6144	444	40	1	1	NUM
ejpam-6144	444	41	0	0	NUM
ejpam-6144	444	42	1	1	NUM
ejpam-6144	444	43	5	5	NUM
ejpam-6144	444	44	2	2	NUM
ejpam-6144	444	45	0	0	NUM
ejpam-6144	444	46	normal	normal	ADJ
ejpam-6144	444	47	q−q	q−q	PROPN
ejpam-6144	444	48	plot	plot	NOUN
ejpam-6144	444	49	theoretical	theoretical	ADJ
ejpam-6144	444	50	quantiles	quantile	NOUN
ejpam-6144	444	51	s	s	VERB
ejpam-6144	444	52	a	a	DET
ejpam-6144	444	53	m	m	NOUN
ejpam-6144	444	54	p	p	X
ejpam-6144	444	55	le	le	X
ejpam-6144	444	56	q	q	PROPN
ejpam-6144	444	57	u	u	PROPN
ejpam-6144	444	58	a	a	PRON
ejpam-6144	444	59	n	n	NOUN
ejpam-6144	444	60	ti	ti	X
ejpam-6144	444	61	le	le	X
ejpam-6144	444	62	s	s	NOUN
ejpam-6144	444	63	0	0	NUM
ejpam-6144	444	64	5	5	NUM
ejpam-6144	444	65	10	10	NUM
ejpam-6144	444	66	15	15	NUM
ejpam-6144	444	67	20	20	NUM
ejpam-6144	444	68	strip	strip	NOUN
ejpam-6144	444	69	plot	plot	NOUN
ejpam-6144	444	70	z	z	NOUN
ejpam-6144	444	71	0	0	NUM
ejpam-6144	444	72	5	5	NUM
ejpam-6144	444	73	10	10	NUM
ejpam-6144	444	74	15	15	NUM
ejpam-6144	444	75	20	20	NUM
ejpam-6144	444	76	box	box	NOUN
ejpam-6144	444	77	plot	plot	NOUN
ejpam-6144	444	78	z	z	NOUN
ejpam-6144	444	79	0	0	NUM
ejpam-6144	444	80	2	2	NUM
ejpam-6144	444	81	4	4	NUM
ejpam-6144	444	82	6	6	NUM
ejpam-6144	444	83	8	8	NUM
ejpam-6144	444	84	10	10	NUM
ejpam-6144	444	85	12	12	NUM
ejpam-6144	444	86	0	0	NUM
ejpam-6144	444	87	.0	.0	NUM
ejpam-6144	444	88	0	0	NUM
ejpam-6144	444	89	0	0	NUM
ejpam-6144	445	1	.1	.1	NUM
ejpam-6144	445	2	0	0	NUM
ejpam-6144	445	3	0	0	NUM
ejpam-6144	446	1	.2	.2	NUM
ejpam-6144	446	2	0	0	NUM
ejpam-6144	446	3	relative	relative	ADJ
ejpam-6144	446	4	frequencies	frequency	NOUN
ejpam-6144	446	5	z	z	NOUN
ejpam-6144	446	6	0	0	NUM
ejpam-6144	446	7	5	5	NUM
ejpam-6144	446	8	1	1	NUM
ejpam-6144	446	9	0	0	NUM
ejpam-6144	446	10	1	1	NUM
ejpam-6144	446	11	5	5	NUM
ejpam-6144	446	12	2	2	NUM
ejpam-6144	446	13	0	0	NUM
ejpam-6144	446	14	1	1	NUM
ejpam-6144	446	15	violin	violin	NOUN
ejpam-6144	446	16	plot	plot	NOUN
ejpam-6144	446	17	figure	figure	NOUN
ejpam-6144	446	18	6	6	NUM
ejpam-6144	446	19	:	:	PUNCT
ejpam-6144	446	20	non	non	ADJ
ejpam-6144	446	21	-	-	ADJ
ejpam-6144	446	22	parametric	parametric	ADJ
ejpam-6144	446	23	plots	plot	NOUN
ejpam-6144	446	24	for	for	ADP
ejpam-6144	446	25	dataset	dataset	NOUN
ejpam-6144	446	26	i.	i.	PROPN
ejpam-6144	446	27	test	test	NOUN
ejpam-6144	446	28	results	result	NOUN
ejpam-6144	446	29	for	for	ADP
ejpam-6144	446	30	dataset	dataset	ADJ
ejpam-6144	446	31	i	i	PRON
ejpam-6144	446	32	at	at	ADP
ejpam-6144	446	33	a	a	DET
ejpam-6144	446	34	significance	significance	NOUN
ejpam-6144	446	35	level	level	NOUN
ejpam-6144	446	36	of	of	ADP
ejpam-6144	446	37	0.05	0.05	NUM
ejpam-6144	446	38	,	,	PUNCT
ejpam-6144	446	39	evaluating	evaluate	VERB
ejpam-6144	446	40	the	the	DET
ejpam-6144	446	41	performance	performance	NOUN
ejpam-6144	446	42	of	of	ADP
ejpam-6144	446	43	several	several	ADJ
ejpam-6144	446	44	statistical	statistical	ADJ
ejpam-6144	446	45	models	model	NOUN
ejpam-6144	446	46	applied	apply	VERB
ejpam-6144	446	47	to	to	ADP
ejpam-6144	446	48	the	the	DET
ejpam-6144	446	49	data	datum	NOUN
ejpam-6144	446	50	.	.	PUNCT
ejpam-6144	447	1	figure	figure	VERB
ejpam-6144	447	2	7	7	NUM
ejpam-6144	447	3	visually	visually	ADV
ejpam-6144	447	4	complements	complement	VERB
ejpam-6144	447	5	these	these	DET
ejpam-6144	447	6	findings	finding	NOUN
ejpam-6144	447	7	by	by	ADP
ejpam-6144	447	8	illustrating	illustrate	VERB
ejpam-6144	447	9	how	how	SCONJ
ejpam-6144	447	10	each	each	DET
ejpam-6144	447	11	model	model	NOUN
ejpam-6144	447	12	fits	fit	VERB
ejpam-6144	447	13	the	the	DET
ejpam-6144	447	14	observed	observe	VERB
ejpam-6144	447	15	data	datum	NOUN
ejpam-6144	447	16	.	.	PUNCT
ejpam-6144	448	1	it	it	PRON
ejpam-6144	448	2	compares	compare	VERB
ejpam-6144	448	3	the	the	DET
ejpam-6144	448	4	predicted	predict	VERB
ejpam-6144	448	5	values	value	NOUN
ejpam-6144	448	6	of	of	ADP
ejpam-6144	448	7	each	each	DET
ejpam-6144	448	8	model	model	NOUN
ejpam-6144	448	9	with	with	ADP
ejpam-6144	448	10	the	the	DET
ejpam-6144	448	11	actual	actual	ADJ
ejpam-6144	448	12	data	datum	NOUN
ejpam-6144	448	13	,	,	PUNCT
ejpam-6144	448	14	highlighting	highlight	VERB
ejpam-6144	448	15	any	any	DET
ejpam-6144	448	16	discrepancies	discrepancy	NOUN
ejpam-6144	448	17	and	and	CCONJ
ejpam-6144	448	18	providing	provide	VERB
ejpam-6144	448	19	a	a	DET
ejpam-6144	448	20	clear	clear	ADJ
ejpam-6144	448	21	overview	overview	NOUN
ejpam-6144	448	22	of	of	ADP
ejpam-6144	448	23	the	the	DET
ejpam-6144	448	24	overall	overall	ADJ
ejpam-6144	448	25	fit	fit	NOUN
ejpam-6144	448	26	.	.	PUNCT
ejpam-6144	449	1	although	although	SCONJ
ejpam-6144	449	2	the	the	DET
ejpam-6144	449	3	dgzhlo	dgzhlo	NOUN
ejpam-6144	449	4	,	,	PUNCT
ejpam-6144	449	5	dexg	dexg	NOUN
ejpam-6144	449	6	,	,	PUNCT
ejpam-6144	449	7	and	and	CCONJ
ejpam-6144	449	8	geo	geo	PROPN
ejpam-6144	449	9	models	model	NOUN
ejpam-6144	449	10	all	all	PRON
ejpam-6144	449	11	perform	perform	VERB
ejpam-6144	449	12	adequately	adequately	ADV
ejpam-6144	449	13	in	in	ADP
ejpam-6144	449	14	modeling	model	VERB
ejpam-6144	449	15	the	the	DET
ejpam-6144	449	16	data	datum	NOUN
ejpam-6144	449	17	,	,	PUNCT
ejpam-6144	449	18	the	the	DET
ejpam-6144	449	19	dgzhlo	dgzhlo	PROPN
ejpam-6144	449	20	model	model	NOUN
ejpam-6144	449	21	proves	prove	VERB
ejpam-6144	449	22	to	to	PART
ejpam-6144	449	23	be	be	AUX
ejpam-6144	449	24	the	the	DET
ejpam-6144	449	25	most	most	ADV
ejpam-6144	449	26	effective	effective	ADJ
ejpam-6144	449	27	.	.	PUNCT
ejpam-6144	450	1	it	it	PRON
ejpam-6144	450	2	provides	provide	VERB
ejpam-6144	450	3	the	the	DET
ejpam-6144	450	4	best	good	ADJ
ejpam-6144	450	5	fit	fit	ADJ
ejpam-6144	450	6	and	and	CCONJ
ejpam-6144	450	7	demonstrates	demonstrate	VERB
ejpam-6144	450	8	superior	superior	ADJ
ejpam-6144	450	9	accuracy	accuracy	NOUN
ejpam-6144	450	10	in	in	ADP
ejpam-6144	450	11	capturing	capture	VERB
ejpam-6144	450	12	the	the	DET
ejpam-6144	450	13	underlying	underlie	VERB
ejpam-6144	450	14	distribution	distribution	NOUN
ejpam-6144	450	15	of	of	ADP
ejpam-6144	450	16	the	the	DET
ejpam-6144	450	17	data	datum	NOUN
ejpam-6144	450	18	,	,	PUNCT
ejpam-6144	450	19	offering	offer	VERB
ejpam-6144	450	20	a	a	DET
ejpam-6144	450	21	more	more	ADV
ejpam-6144	450	22	precise	precise	ADJ
ejpam-6144	450	23	representation	representation	NOUN
ejpam-6144	450	24	than	than	ADP
ejpam-6144	450	25	the	the	DET
ejpam-6144	450	26	other	other	ADJ
ejpam-6144	450	27	models	model	NOUN
ejpam-6144	450	28	.	.	PUNCT
ejpam-6144	451	1	m.	m.	NOUN
ejpam-6144	451	2	s.	s.	PROPN
ejpam-6144	451	3	eliwa	eliwa	PROPN
ejpam-6144	451	4	,	,	PUNCT
ejpam-6144	451	5	w.	w.	PROPN
ejpam-6144	451	6	e.	e.	PROPN
ejpam-6144	451	7	alghanem	alghanem	PROPN
ejpam-6144	451	8	,	,	PUNCT
ejpam-6144	451	9	m.	m.	NOUN
ejpam-6144	451	10	a.	a.	NOUN
ejpam-6144	451	11	alenizi	alenizi	PROPN
ejpam-6144	451	12	/	/	SYM
ejpam-6144	451	13	eur	eur	PROPN
ejpam-6144	451	14	.	.	PUNCT
ejpam-6144	452	1	j.	j.	PROPN
ejpam-6144	452	2	pure	pure	PROPN
ejpam-6144	452	3	appl	appl	PROPN
ejpam-6144	452	4	.	.	PROPN
ejpam-6144	452	5	math	math	PROPN
ejpam-6144	452	6	,	,	PUNCT
ejpam-6144	452	7	18	18	NUM
ejpam-6144	452	8	(	(	PUNCT
ejpam-6144	452	9	2	2	NUM
ejpam-6144	452	10	)	)	PUNCT
ejpam-6144	452	11	(	(	PUNCT
ejpam-6144	452	12	2025	2025	NUM
ejpam-6144	452	13	)	)	PUNCT
ejpam-6144	452	14	,	,	PUNCT
ejpam-6144	452	15	6144	6144	NUM
ejpam-6144	452	16	18	18	NUM
ejpam-6144	452	17	of	of	ADP
ejpam-6144	452	18	26	26	NUM
ejpam-6144	452	19	table	table	NOUN
ejpam-6144	452	20	3	3	NUM
ejpam-6144	452	21	.	.	PUNCT
ejpam-6144	453	1	the	the	DET
ejpam-6144	453	2	goodness	goodness	NOUN
ejpam-6144	453	3	-	-	PUNCT
ejpam-6144	453	4	of	of	ADP
ejpam-6144	453	5	-	-	PUNCT
ejpam-6144	453	6	fit	fit	NOUN
ejpam-6144	453	7	test	test	NOUN
ejpam-6144	453	8	for	for	ADP
ejpam-6144	453	9	dataset	dataset	ADJ
ejpam-6144	453	10	i.	i.	NOUN
ejpam-6144	453	11	x	x	PROPN
ejpam-6144	453	12	of	of	ADP
ejpam-6144	453	13	dgzhlo	dgzhlo	PROPN
ejpam-6144	453	14	dexg	dexg	PROPN
ejpam-6144	453	15	dinh	dinh	PROPN
ejpam-6144	453	16	diw	diw	PROPN
ejpam-6144	453	17	db	db	PROPN
ejpam-6144	453	18	-	-	PUNCT
ejpam-6144	453	19	xii	xii	PROPN
ejpam-6144	453	20	geo	geo	PROPN
ejpam-6144	453	21	poi	poi	PROPN
ejpam-6144	453	22	dpa	dpa	VERB
ejpam-6144	453	23	dr	dr	PROPN
ejpam-6144	453	24	0	0	PROPN
ejpam-6144	453	25	15	15	NUM
ejpam-6144	453	26	16.32	16.32	NUM
ejpam-6144	453	27	19.04	19.04	NUM
ejpam-6144	453	28	12.40	12.40	NUM
ejpam-6144	453	29	9.69	9.69	NUM
ejpam-6144	453	30	19.89	19.89	NUM
ejpam-6144	453	31	25.53	25.53	NUM
ejpam-6144	453	32	2.31	2.31	NUM
ejpam-6144	453	33	47.81	47.81	NUM
ejpam-6144	453	34	3.64	3.64	NUM
ejpam-6144	453	35	1	1	NUM
ejpam-6144	453	36	19	19	NUM
ejpam-6144	453	37	19.47	19.47	NUM
ejpam-6144	453	38	16.47	16.47	NUM
ejpam-6144	453	39	30.16	30.16	NUM
ejpam-6144	453	40	33.09	33.09	NUM
ejpam-6144	453	41	36.59	36.59	NUM
ejpam-6144	453	42	20.43	20.43	NUM
ejpam-6144	453	43	9.27	9.27	NUM
ejpam-6144	453	44	19.19	19.19	NUM
ejpam-6144	453	45	10.30	10.30	NUM
ejpam-6144	453	46	2	2	NUM
ejpam-6144	453	47	23	23	NUM
ejpam-6144	453	48	18.35	18.35	NUM
ejpam-6144	453	49	16.06	16.06	NUM
ejpam-6144	453	50	19.94	19.94	NUM
ejpam-6144	453	51	23.10	23.10	NUM
ejpam-6144	453	52	19.05	19.05	NUM
ejpam-6144	453	53	16.36	16.36	NUM
ejpam-6144	453	54	18.61	18.61	NUM
ejpam-6144	453	55	10.76	10.76	NUM
ejpam-6144	453	56	15.31	15.31	NUM
ejpam-6144	453	57	3	3	NUM
ejpam-6144	453	58	14	14	NUM
ejpam-6144	453	59	15.86	15.86	NUM
ejpam-6144	453	60	15.23	15.23	NUM
ejpam-6144	453	61	12.78	12.78	NUM
ejpam-6144	453	62	14.48	14.48	NUM
ejpam-6144	453	63	10.69	10.69	NUM
ejpam-6144	453	64	13.09	13.09	NUM
ejpam-6144	453	65	24.91	24.91	NUM
ejpam-6144	453	66	7.02	7.02	NUM
ejpam-6144	453	67	18.04	18.04	NUM
ejpam-6144	453	68	4	4	NUM
ejpam-6144	453	69	15	15	NUM
ejpam-6144	453	70	13.23	13.23	NUM
ejpam-6144	453	71	13.61	13.61	NUM
ejpam-6144	453	72	8.72	8.72	NUM
ejpam-6144	453	73	9.54	9.54	NUM
ejpam-6144	453	74	6.83	6.83	NUM
ejpam-6144	453	75	10.49	10.49	NUM
ejpam-6144	453	76	25.01	25.01	NUM
ejpam-6144	453	77	5.00	5.00	NUM
ejpam-6144	453	78	18.44	18.44	NUM
ejpam-6144	453	79	5	5	NUM
ejpam-6144	453	80	10	10	NUM
ejpam-6144	453	81	10.81	10.81	NUM
ejpam-6144	453	82	11.52	11.52	NUM
ejpam-6144	453	83	6.29	6.29	NUM
ejpam-6144	453	84	6.64	6.64	NUM
ejpam-6144	453	85	4.76	4.76	NUM
ejpam-6144	453	86	8.39	8.39	NUM
ejpam-6144	453	87	20.09	20.09	NUM
ejpam-6144	453	88	3.77	3.77	NUM
ejpam-6144	453	89	16.92	16.92	NUM
ejpam-6144	453	90	6	6	NUM
ejpam-6144	453	91	8	8	NUM
ejpam-6144	453	92	8.67	8.67	NUM
ejpam-6144	453	93	9.33	9.33	NUM
ejpam-6144	453	94	4.73	4.73	NUM
ejpam-6144	453	95	4.84	4.84	NUM
ejpam-6144	453	96	3.52	3.52	NUM
ejpam-6144	453	97	6.72	6.72	NUM
ejpam-6144	453	98	13.44	13.44	NUM
ejpam-6144	453	99	2.97	2.97	NUM
ejpam-6144	453	100	14.17	14.17	NUM
ejpam-6144	453	101	7	7	NUM
ejpam-6144	453	102	4	4	NUM
ejpam-6144	453	103	6.82	6.82	NUM
ejpam-6144	453	104	7.28	7.28	NUM
ejpam-6144	453	105	3.69	3.69	NUM
ejpam-6144	453	106	3.65	3.65	NUM
ejpam-6144	453	107	2.72	2.72	NUM
ejpam-6144	453	108	5.38	5.38	NUM
ejpam-6144	453	109	7.71	7.71	NUM
ejpam-6144	453	110	2.40	2.40	NUM
ejpam-6144	453	111	10.94	10.94	NUM
ejpam-6144	453	112	8	8	NUM
ejpam-6144	453	113	6	6	NUM
ejpam-6144	453	114	5.26	5.26	NUM
ejpam-6144	453	115	5.52	5.52	NUM
ejpam-6144	453	116	2.95	2.95	NUM
ejpam-6144	453	117	2.85	2.85	NUM
ejpam-6144	453	118	2.17	2.17	NUM
ejpam-6144	453	119	4.31	4.31	NUM
ejpam-6144	453	120	3.87	3.87	NUM
ejpam-6144	453	121	1.99	1.99	NUM
ejpam-6144	453	122	7.84	7.84	NUM
ejpam-6144	453	123	9	9	NUM
ejpam-6144	453	124	2	2	NUM
ejpam-6144	453	125	3.97	3.97	NUM
ejpam-6144	453	126	4.09	4.09	NUM
ejpam-6144	453	127	2.41	2.41	NUM
ejpam-6144	453	128	2.27	2.27	NUM
ejpam-6144	453	129	1.77	1.77	NUM
ejpam-6144	453	130	3.46	3.46	NUM
ejpam-6144	453	131	1.74	1.74	NUM
ejpam-6144	453	132	1.69	1.69	NUM
ejpam-6144	453	133	5.23	5.23	NUM
ejpam-6144	453	134	10	10	NUM
ejpam-6144	453	135	3	3	NUM
ejpam-6144	453	136	2.92	2.92	NUM
ejpam-6144	453	137	2.97	2.97	NUM
ejpam-6144	453	138	2.01	2.01	NUM
ejpam-6144	453	139	1.85	1.85	NUM
ejpam-6144	453	140	1.48	1.48	NUM
ejpam-6144	453	141	2.75	2.75	NUM
ejpam-6144	453	142	0.69	0.69	NUM
ejpam-6144	453	143	1.45	1.45	NUM
ejpam-6144	453	144	3.26	3.26	NUM
ejpam-6144	453	145	11	11	NUM
ejpam-6144	453	146	3	3	NUM
ejpam-6144	453	147	2.10	2.10	NUM
ejpam-6144	453	148	2.12	2.12	NUM
ejpam-6144	453	149	1.69	1.69	NUM
ejpam-6144	453	150	1.53	1.53	NUM
ejpam-6144	453	151	1.25	1.25	NUM
ejpam-6144	453	152	2.21	2.21	NUM
ejpam-6144	453	153	0.25	0.25	NUM
ejpam-6144	453	154	1.26	1.26	NUM
ejpam-6144	453	155	1.89	1.89	NUM
ejpam-6144	453	156	12	12	NUM
ejpam-6144	453	157	2	2	NUM
ejpam-6144	453	158	1.49	1.49	NUM
ejpam-6144	453	159	1.49	1.49	NUM
ejpam-6144	453	160	1.46	1.46	NUM
ejpam-6144	453	161	1.28	1.28	NUM
ejpam-6144	453	162	1.08	1.08	NUM
ejpam-6144	453	163	1.77	1.77	NUM
ejpam-6144	453	164	0.08	0.08	NUM
ejpam-6144	453	165	1.11	1.11	NUM
ejpam-6144	453	166	1.04	1.04	NUM
ejpam-6144	453	167	+13	+13	NUM
ejpam-6144	453	168	4	4	NUM
ejpam-6144	453	169	2.73	2.73	NUM
ejpam-6144	453	170	3.27	3.27	NUM
ejpam-6144	453	171	18.76	18.76	NUM
ejpam-6144	453	172	13.183	13.183	NUM
ejpam-6144	453	173	16.19	16.19	NUM
ejpam-6144	453	174	7.11	7.11	NUM
ejpam-6144	453	175	0.01	0.01	NUM
ejpam-6144	453	176	21.59	21.59	NUM
ejpam-6144	453	177	0.99	0.99	NUM
ejpam-6144	453	178	total	total	NOUN
ejpam-6144	453	179	128	128	NUM
ejpam-6144	453	180	128	128	NUM
ejpam-6144	453	181	128	128	NUM
ejpam-6144	453	182	128	128	NUM
ejpam-6144	453	183	128	128	NUM
ejpam-6144	453	184	128	128	NUM
ejpam-6144	453	185	128	128	NUM
ejpam-6144	453	186	128	128	NUM
ejpam-6144	453	187	128	128	NUM
ejpam-6144	453	188	128	128	NUM
ejpam-6144	453	189	−l	−l	PROPN
ejpam-6144	453	190	310.657	310.657	NUM
ejpam-6144	453	191	318.953	318.953	NUM
ejpam-6144	453	192	331.931	331.931	NUM
ejpam-6144	453	193	330.446	330.446	NUM
ejpam-6144	453	194	342.581	342.581	NUM
ejpam-6144	453	195	320.703	320.703	NUM
ejpam-6144	453	196	384.974	384.974	NUM
ejpam-6144	453	197	369.766	369.766	NUM
ejpam-6144	453	198	347.148	347.148	NUM
ejpam-6144	453	199	mleγ	mleγ	NOUN
ejpam-6144	453	200	0.869	0.869	NUM
ejpam-6144	453	201	0.497	0.497	NUM
ejpam-6144	453	202	1.244	1.244	NUM
ejpam-6144	453	203	0.076	0.076	NUM
ejpam-6144	453	204	0.785	0.785	NUM
ejpam-6144	453	205	0.801	0.801	NUM
ejpam-6144	453	206	4.016	4.016	NUM
ejpam-6144	453	207	0.509	0.509	NUM
ejpam-6144	453	208	0.972	0.972	NUM
ejpam-6144	453	209	mleτ	mleτ	NOUN
ejpam-6144	453	210	0.045	0.045	NUM
ejpam-6144	453	211	0.513	0.513	NUM
ejpam-6144	453	212	1.634	1.634	NUM
ejpam-6144	453	213	1.235	1.235	NUM
ejpam-6144	453	214	3.309	3.309	NUM
ejpam-6144	453	215	−	−	NOUN
ejpam-6144	453	216	−	−	NOUN
ejpam-6144	453	217	−	−	PROPN
ejpam-6144	454	1	−	−	PROPN
ejpam-6144	455	1	mleθ	mleθ	NOUN
ejpam-6144	456	1	1.432	1.432	NUM
ejpam-6144	456	2	−	−	NOUN
ejpam-6144	457	1	−	−	PROPN
ejpam-6144	457	2	−	−	PROPN
ejpam-6144	457	3	−	−	PROPN
ejpam-6144	457	4	−	−	PROPN
ejpam-6144	458	1	−	−	PROPN
ejpam-6144	458	2	−	−	PROPN
ejpam-6144	458	3	−	−	PROPN
ejpam-6144	458	4	χ2	χ2	PROPN
ejpam-6144	458	5	4.788	4.788	NUM
ejpam-6144	458	6	7.093	7.093	NUM
ejpam-6144	458	7	20.199	20.199	NUM
ejpam-6144	458	8	18.709	18.709	NUM
ejpam-6144	458	9	40.183	40.183	NUM
ejpam-6144	458	10	11.651	11.651	NUM
ejpam-6144	458	11	88.995	88.995	NUM
ejpam-6144	458	12	94.971	94.971	NUM
ejpam-6144	458	13	49.897	49.897	NUM
ejpam-6144	458	14	p.value	p.value	NOUN
ejpam-6144	458	15	0.686	0.686	NUM
ejpam-6144	458	16	0.527	0.527	NUM
ejpam-6144	458	17	0.003	0.003	NUM
ejpam-6144	458	18	0.005	0.005	NUM
ejpam-6144	458	19	0	0	NUM
ejpam-6144	458	20	0.234	0.234	NUM
ejpam-6144	458	21	0	0	NUM
ejpam-6144	458	22	0	0	NUM
ejpam-6144	458	23	0	0	NUM
ejpam-6144	458	24	m.	m.	NOUN
ejpam-6144	458	25	s.	s.	PROPN
ejpam-6144	458	26	eliwa	eliwa	PROPN
ejpam-6144	458	27	,	,	PUNCT
ejpam-6144	458	28	w.	w.	PROPN
ejpam-6144	458	29	e.	e.	PROPN
ejpam-6144	458	30	alghanem	alghanem	PROPN
ejpam-6144	458	31	,	,	PUNCT
ejpam-6144	458	32	m.	m.	NOUN
ejpam-6144	458	33	a.	a.	NOUN
ejpam-6144	458	34	alenizi	alenizi	PROPN
ejpam-6144	458	35	/	/	SYM
ejpam-6144	458	36	eur	eur	PROPN
ejpam-6144	458	37	.	.	PUNCT
ejpam-6144	459	1	j.	j.	PROPN
ejpam-6144	459	2	pure	pure	PROPN
ejpam-6144	459	3	appl	appl	PROPN
ejpam-6144	459	4	.	.	PROPN
ejpam-6144	459	5	math	math	PROPN
ejpam-6144	459	6	,	,	PUNCT
ejpam-6144	459	7	18	18	NUM
ejpam-6144	459	8	(	(	PUNCT
ejpam-6144	459	9	2	2	NUM
ejpam-6144	459	10	)	)	PUNCT
ejpam-6144	459	11	(	(	PUNCT
ejpam-6144	459	12	2025	2025	NUM
ejpam-6144	459	13	)	)	PUNCT
ejpam-6144	459	14	,	,	PUNCT
ejpam-6144	459	15	6144	6144	NUM
ejpam-6144	459	16	19	19	NUM
ejpam-6144	459	17	of	of	ADP
ejpam-6144	459	18	26	26	NUM
ejpam-6144	459	19	0	0	NUM
ejpam-6144	459	20	2	2	NUM
ejpam-6144	459	21	4	4	NUM
ejpam-6144	459	22	6	6	NUM
ejpam-6144	459	23	8	8	NUM
ejpam-6144	459	24	10	10	NUM
ejpam-6144	459	25	0	0	NUM
ejpam-6144	459	26	2	2	NUM
ejpam-6144	459	27	0	0	NUM
ejpam-6144	459	28	4	4	NUM
ejpam-6144	459	29	0	0	NUM
ejpam-6144	459	30	dgzhlo	dgzhlo	NOUN
ejpam-6144	460	1	z	z	PROPN
ejpam-6144	461	1	p	p	NOUN
ejpam-6144	462	1	m	m	PROPN
ejpam-6144	462	2	f	f	NOUN
ejpam-6144	462	3	0	0	NUM
ejpam-6144	462	4	2	2	NUM
ejpam-6144	462	5	4	4	NUM
ejpam-6144	462	6	6	6	NUM
ejpam-6144	462	7	8	8	NUM
ejpam-6144	462	8	10	10	NUM
ejpam-6144	462	9	0	0	NUM
ejpam-6144	462	10	2	2	NUM
ejpam-6144	462	11	0	0	NUM
ejpam-6144	462	12	4	4	NUM
ejpam-6144	462	13	0	0	NUM
ejpam-6144	462	14	z	z	NOUN
ejpam-6144	463	1	p	p	NOUN
ejpam-6144	463	2	m	m	PROPN
ejpam-6144	463	3	f	f	PROPN
ejpam-6144	463	4	obs	obs	PROPN
ejpam-6144	463	5	exp	exp	PROPN
ejpam-6144	463	6	0	0	NUM
ejpam-6144	463	7	2	2	NUM
ejpam-6144	463	8	4	4	NUM
ejpam-6144	463	9	6	6	NUM
ejpam-6144	463	10	8	8	NUM
ejpam-6144	463	11	10	10	NUM
ejpam-6144	463	12	0	0	NUM
ejpam-6144	463	13	2	2	NUM
ejpam-6144	463	14	0	0	NUM
ejpam-6144	463	15	4	4	NUM
ejpam-6144	463	16	0	0	NUM
ejpam-6144	463	17	dexg	dexg	NOUN
ejpam-6144	463	18	z	z	PROPN
ejpam-6144	464	1	p	p	NOUN
ejpam-6144	464	2	m	m	PROPN
ejpam-6144	464	3	f	f	NOUN
ejpam-6144	464	4	0	0	NUM
ejpam-6144	464	5	2	2	NUM
ejpam-6144	464	6	4	4	NUM
ejpam-6144	464	7	6	6	NUM
ejpam-6144	464	8	8	8	NUM
ejpam-6144	464	9	10	10	NUM
ejpam-6144	464	10	0	0	NUM
ejpam-6144	464	11	2	2	NUM
ejpam-6144	464	12	0	0	NUM
ejpam-6144	464	13	4	4	NUM
ejpam-6144	464	14	0	0	NUM
ejpam-6144	464	15	z	z	NOUN
ejpam-6144	465	1	p	p	NOUN
ejpam-6144	465	2	m	m	PROPN
ejpam-6144	465	3	f	f	PROPN
ejpam-6144	465	4	obs	obs	PROPN
ejpam-6144	465	5	exp	exp	PROPN
ejpam-6144	465	6	0	0	NUM
ejpam-6144	465	7	2	2	NUM
ejpam-6144	465	8	4	4	NUM
ejpam-6144	465	9	6	6	NUM
ejpam-6144	465	10	8	8	NUM
ejpam-6144	465	11	10	10	NUM
ejpam-6144	465	12	0	0	NUM
ejpam-6144	465	13	2	2	NUM
ejpam-6144	465	14	0	0	NUM
ejpam-6144	465	15	4	4	NUM
ejpam-6144	465	16	0	0	NUM
ejpam-6144	465	17	dinh	dinh	NOUN
ejpam-6144	465	18	z	z	NOUN
ejpam-6144	466	1	p	p	NOUN
ejpam-6144	466	2	m	m	PROPN
ejpam-6144	466	3	f	f	NOUN
ejpam-6144	466	4	0	0	NUM
ejpam-6144	466	5	2	2	NUM
ejpam-6144	466	6	4	4	NUM
ejpam-6144	466	7	6	6	NUM
ejpam-6144	466	8	8	8	NUM
ejpam-6144	466	9	10	10	NUM
ejpam-6144	466	10	0	0	NUM
ejpam-6144	466	11	2	2	NUM
ejpam-6144	466	12	0	0	NUM
ejpam-6144	466	13	4	4	NUM
ejpam-6144	466	14	0	0	NUM
ejpam-6144	466	15	z	z	NOUN
ejpam-6144	467	1	p	p	NOUN
ejpam-6144	467	2	m	m	PROPN
ejpam-6144	467	3	f	f	PROPN
ejpam-6144	467	4	obs	obs	PROPN
ejpam-6144	467	5	exp	exp	PROPN
ejpam-6144	467	6	0	0	NUM
ejpam-6144	467	7	2	2	NUM
ejpam-6144	467	8	4	4	NUM
ejpam-6144	467	9	6	6	NUM
ejpam-6144	467	10	8	8	NUM
ejpam-6144	467	11	10	10	NUM
ejpam-6144	467	12	0	0	NUM
ejpam-6144	467	13	2	2	NUM
ejpam-6144	467	14	0	0	NUM
ejpam-6144	467	15	4	4	NUM
ejpam-6144	467	16	0	0	NUM
ejpam-6144	468	1	diw	diw	PROPN
ejpam-6144	468	2	z	z	PROPN
ejpam-6144	469	1	p	p	NOUN
ejpam-6144	469	2	m	m	PROPN
ejpam-6144	469	3	f	f	NOUN
ejpam-6144	469	4	0	0	NUM
ejpam-6144	469	5	2	2	NUM
ejpam-6144	469	6	4	4	NUM
ejpam-6144	469	7	6	6	NUM
ejpam-6144	469	8	8	8	NUM
ejpam-6144	469	9	10	10	NUM
ejpam-6144	469	10	0	0	NUM
ejpam-6144	469	11	2	2	NUM
ejpam-6144	469	12	0	0	NUM
ejpam-6144	469	13	4	4	NUM
ejpam-6144	469	14	0	0	NUM
ejpam-6144	469	15	z	z	NOUN
ejpam-6144	470	1	p	p	NOUN
ejpam-6144	470	2	m	m	PROPN
ejpam-6144	470	3	f	f	PROPN
ejpam-6144	470	4	obs	obs	PROPN
ejpam-6144	470	5	exp	exp	PROPN
ejpam-6144	470	6	0	0	NUM
ejpam-6144	470	7	2	2	NUM
ejpam-6144	470	8	4	4	NUM
ejpam-6144	470	9	6	6	NUM
ejpam-6144	470	10	8	8	NUM
ejpam-6144	470	11	10	10	NUM
ejpam-6144	470	12	0	0	NUM
ejpam-6144	470	13	2	2	NUM
ejpam-6144	470	14	0	0	NUM
ejpam-6144	470	15	4	4	NUM
ejpam-6144	470	16	0	0	NUM
ejpam-6144	470	17	db−xii	db−xii	NOUN
ejpam-6144	470	18	z	z	NOUN
ejpam-6144	471	1	p	p	X
ejpam-6144	471	2	m	m	PROPN
ejpam-6144	471	3	f	f	NOUN
ejpam-6144	471	4	0	0	NUM
ejpam-6144	471	5	2	2	NUM
ejpam-6144	471	6	4	4	NUM
ejpam-6144	471	7	6	6	NUM
ejpam-6144	471	8	8	8	NUM
ejpam-6144	471	9	10	10	NUM
ejpam-6144	471	10	0	0	NUM
ejpam-6144	471	11	2	2	NUM
ejpam-6144	471	12	0	0	NUM
ejpam-6144	471	13	4	4	NUM
ejpam-6144	471	14	0	0	NUM
ejpam-6144	471	15	z	z	NOUN
ejpam-6144	472	1	p	p	NOUN
ejpam-6144	472	2	m	m	PROPN
ejpam-6144	472	3	f	f	PROPN
ejpam-6144	472	4	obs	obs	PROPN
ejpam-6144	472	5	exp	exp	PROPN
ejpam-6144	472	6	0	0	NUM
ejpam-6144	472	7	2	2	NUM
ejpam-6144	472	8	4	4	NUM
ejpam-6144	472	9	6	6	NUM
ejpam-6144	472	10	8	8	NUM
ejpam-6144	472	11	10	10	NUM
ejpam-6144	472	12	0	0	NUM
ejpam-6144	472	13	2	2	NUM
ejpam-6144	472	14	0	0	NUM
ejpam-6144	472	15	4	4	NUM
ejpam-6144	472	16	0	0	NUM
ejpam-6144	472	17	geo	geo	PROPN
ejpam-6144	472	18	z	z	PROPN
ejpam-6144	472	19	p	p	PROPN
ejpam-6144	473	1	m	m	PROPN
ejpam-6144	473	2	f	f	NOUN
ejpam-6144	473	3	0	0	NUM
ejpam-6144	473	4	2	2	NUM
ejpam-6144	473	5	4	4	NUM
ejpam-6144	473	6	6	6	NUM
ejpam-6144	473	7	8	8	NUM
ejpam-6144	473	8	10	10	NUM
ejpam-6144	473	9	0	0	NUM
ejpam-6144	473	10	2	2	NUM
ejpam-6144	473	11	0	0	NUM
ejpam-6144	473	12	4	4	NUM
ejpam-6144	473	13	0	0	NUM
ejpam-6144	473	14	z	z	NOUN
ejpam-6144	474	1	p	p	NOUN
ejpam-6144	474	2	m	m	PROPN
ejpam-6144	474	3	f	f	PROPN
ejpam-6144	474	4	obs	obs	PROPN
ejpam-6144	474	5	exp	exp	PROPN
ejpam-6144	474	6	0	0	NUM
ejpam-6144	474	7	2	2	NUM
ejpam-6144	474	8	4	4	NUM
ejpam-6144	474	9	6	6	NUM
ejpam-6144	474	10	8	8	NUM
ejpam-6144	474	11	10	10	NUM
ejpam-6144	474	12	0	0	NUM
ejpam-6144	474	13	2	2	NUM
ejpam-6144	474	14	0	0	NUM
ejpam-6144	474	15	4	4	NUM
ejpam-6144	474	16	0	0	NUM
ejpam-6144	475	1	poi	poi	PROPN
ejpam-6144	475	2	z	z	PROPN
ejpam-6144	475	3	p	p	X
ejpam-6144	476	1	m	m	PROPN
ejpam-6144	476	2	f	f	NOUN
ejpam-6144	476	3	0	0	NUM
ejpam-6144	476	4	2	2	NUM
ejpam-6144	476	5	4	4	NUM
ejpam-6144	476	6	6	6	NUM
ejpam-6144	476	7	8	8	NUM
ejpam-6144	476	8	10	10	NUM
ejpam-6144	476	9	0	0	NUM
ejpam-6144	476	10	2	2	NUM
ejpam-6144	476	11	0	0	NUM
ejpam-6144	476	12	4	4	NUM
ejpam-6144	476	13	0	0	NUM
ejpam-6144	476	14	z	z	NOUN
ejpam-6144	477	1	p	p	NOUN
ejpam-6144	477	2	m	m	PROPN
ejpam-6144	477	3	f	f	PROPN
ejpam-6144	477	4	obs	obs	PROPN
ejpam-6144	477	5	exp	exp	PROPN
ejpam-6144	477	6	0	0	NUM
ejpam-6144	477	7	2	2	NUM
ejpam-6144	477	8	4	4	NUM
ejpam-6144	477	9	6	6	NUM
ejpam-6144	477	10	8	8	NUM
ejpam-6144	477	11	10	10	NUM
ejpam-6144	477	12	0	0	NUM
ejpam-6144	477	13	2	2	NUM
ejpam-6144	477	14	0	0	NUM
ejpam-6144	477	15	4	4	NUM
ejpam-6144	477	16	0	0	NUM
ejpam-6144	477	17	dpa	dpa	NOUN
ejpam-6144	477	18	z	z	PROPN
ejpam-6144	478	1	p	p	NOUN
ejpam-6144	478	2	m	m	PROPN
ejpam-6144	478	3	f	f	NOUN
ejpam-6144	478	4	0	0	NUM
ejpam-6144	478	5	2	2	NUM
ejpam-6144	478	6	4	4	NUM
ejpam-6144	478	7	6	6	NUM
ejpam-6144	478	8	8	8	NUM
ejpam-6144	478	9	10	10	NUM
ejpam-6144	478	10	0	0	NUM
ejpam-6144	478	11	2	2	NUM
ejpam-6144	478	12	0	0	NUM
ejpam-6144	478	13	4	4	NUM
ejpam-6144	478	14	0	0	NUM
ejpam-6144	478	15	z	z	NOUN
ejpam-6144	479	1	p	p	NOUN
ejpam-6144	479	2	m	m	PROPN
ejpam-6144	479	3	f	f	PROPN
ejpam-6144	479	4	obs	obs	PROPN
ejpam-6144	479	5	exp	exp	PROPN
ejpam-6144	479	6	0	0	NUM
ejpam-6144	479	7	2	2	NUM
ejpam-6144	479	8	4	4	NUM
ejpam-6144	479	9	6	6	NUM
ejpam-6144	479	10	8	8	NUM
ejpam-6144	479	11	10	10	NUM
ejpam-6144	479	12	0	0	NUM
ejpam-6144	479	13	2	2	NUM
ejpam-6144	479	14	0	0	NUM
ejpam-6144	479	15	4	4	NUM
ejpam-6144	479	16	0	0	NUM
ejpam-6144	480	1	dr	dr	PROPN
ejpam-6144	480	2	z	z	PROPN
ejpam-6144	480	3	p	p	PROPN
ejpam-6144	480	4	m	m	PROPN
ejpam-6144	480	5	f	f	NOUN
ejpam-6144	480	6	0	0	NUM
ejpam-6144	480	7	2	2	NUM
ejpam-6144	480	8	4	4	NUM
ejpam-6144	480	9	6	6	NUM
ejpam-6144	480	10	8	8	NUM
ejpam-6144	480	11	10	10	NUM
ejpam-6144	480	12	0	0	NUM
ejpam-6144	480	13	2	2	NUM
ejpam-6144	480	14	0	0	NUM
ejpam-6144	480	15	4	4	NUM
ejpam-6144	480	16	0	0	NUM
ejpam-6144	480	17	z	z	NOUN
ejpam-6144	481	1	p	p	NOUN
ejpam-6144	481	2	m	m	PROPN
ejpam-6144	481	3	f	f	PROPN
ejpam-6144	481	4	obs	obs	PROPN
ejpam-6144	481	5	exp	exp	NOUN
ejpam-6144	481	6	figure	figure	NOUN
ejpam-6144	481	7	7	7	NUM
ejpam-6144	481	8	:	:	PUNCT
ejpam-6144	481	9	the	the	DET
ejpam-6144	481	10	fitted	fit	VERB
ejpam-6144	481	11	pmfs	pmfs	NOUN
ejpam-6144	481	12	for	for	ADP
ejpam-6144	481	13	dataset	dataset	ADJ
ejpam-6144	481	14	i.	i.	PROPN
ejpam-6144	481	15	6.2	6.2	NUM
ejpam-6144	481	16	.	.	PUNCT
ejpam-6144	482	1	dataset	dataset	PROPN
ejpam-6144	482	2	ii	ii	PROPN
ejpam-6144	482	3	:	:	PUNCT
ejpam-6144	482	4	failure	failure	NOUN
ejpam-6144	482	5	times	time	NOUN
ejpam-6144	482	6	this	this	DET
ejpam-6144	482	7	dataset	dataset	NOUN
ejpam-6144	482	8	represents	represent	VERB
ejpam-6144	482	9	the	the	DET
ejpam-6144	482	10	failure	failure	NOUN
ejpam-6144	482	11	times	time	NOUN
ejpam-6144	482	12	(	(	PUNCT
ejpam-6144	482	13	in	in	ADP
ejpam-6144	482	14	weeks	week	NOUN
ejpam-6144	482	15	)	)	PUNCT
ejpam-6144	482	16	of	of	ADP
ejpam-6144	482	17	50	50	NUM
ejpam-6144	482	18	devices	device	NOUN
ejpam-6144	482	19	subjected	subject	VERB
ejpam-6144	482	20	to	to	ADP
ejpam-6144	482	21	a	a	DET
ejpam-6144	482	22	life	life	NOUN
ejpam-6144	482	23	test	test	NOUN
ejpam-6144	482	24	,	,	PUNCT
ejpam-6144	482	25	as	as	SCONJ
ejpam-6144	482	26	discussed	discuss	VERB
ejpam-6144	482	27	in	in	ADP
ejpam-6144	482	28	bebbington	bebbington	PROPN
ejpam-6144	482	29	et	et	PROPN
ejpam-6144	482	30	al	al	PROPN
ejpam-6144	482	31	.	.	PUNCT
ejpam-6144	483	1	[	[	X
ejpam-6144	483	2	14	14	NUM
ejpam-6144	483	3	]	]	PUNCT
ejpam-6144	483	4	,	,	PUNCT
ejpam-6144	483	5	focusing	focus	VERB
ejpam-6144	483	6	on	on	ADP
ejpam-6144	483	7	sustainable	sustainable	ADJ
ejpam-6144	483	8	dispersion	dispersion	NOUN
ejpam-6144	483	9	data	datum	NOUN
ejpam-6144	483	10	.	.	PUNCT
ejpam-6144	484	1	in	in	ADP
ejpam-6144	484	2	this	this	DET
ejpam-6144	484	3	analysis	analysis	NOUN
ejpam-6144	484	4	,	,	PUNCT
ejpam-6144	484	5	we	we	PRON
ejpam-6144	484	6	will	will	AUX
ejpam-6144	484	7	compare	compare	VERB
ejpam-6144	484	8	the	the	DET
ejpam-6144	484	9	fit	fit	NOUN
ejpam-6144	484	10	of	of	ADP
ejpam-6144	484	11	the	the	DET
ejpam-6144	484	12	dgzhlo	dgzhlo	NOUN
ejpam-6144	484	13	distribution	distribution	NOUN
ejpam-6144	484	14	with	with	ADP
ejpam-6144	484	15	several	several	ADJ
ejpam-6144	484	16	competing	compete	VERB
ejpam-6144	484	17	models	model	NOUN
ejpam-6144	484	18	to	to	PART
ejpam-6144	484	19	assess	assess	VERB
ejpam-6144	484	20	its	its	PRON
ejpam-6144	484	21	performance	performance	NOUN
ejpam-6144	484	22	.	.	PUNCT
ejpam-6144	485	1	non	non	ADJ
ejpam-6144	485	2	-	-	ADJ
ejpam-6144	485	3	parametric	parametric	ADJ
ejpam-6144	485	4	plots	plot	NOUN
ejpam-6144	485	5	,	,	PUNCT
ejpam-6144	485	6	shown	show	VERB
ejpam-6144	485	7	in	in	ADP
ejpam-6144	485	8	figure	figure	NOUN
ejpam-6144	485	9	8	8	NUM
ejpam-6144	485	10	,	,	PUNCT
ejpam-6144	485	11	provide	provide	VERB
ejpam-6144	485	12	a	a	DET
ejpam-6144	485	13	visual	visual	ADJ
ejpam-6144	485	14	representation	representation	NOUN
ejpam-6144	485	15	of	of	ADP
ejpam-6144	485	16	the	the	DET
ejpam-6144	485	17	data	datum	NOUN
ejpam-6144	485	18	’s	’s	PART
ejpam-6144	485	19	distribution	distribution	NOUN
ejpam-6144	485	20	.	.	PUNCT
ejpam-6144	486	1	it	it	PRON
ejpam-6144	486	2	is	be	AUX
ejpam-6144	486	3	important	important	ADJ
ejpam-6144	486	4	to	to	PART
ejpam-6144	486	5	note	note	VERB
ejpam-6144	486	6	that	that	SCONJ
ejpam-6144	486	7	the	the	DET
ejpam-6144	486	8	data	datum	NOUN
ejpam-6144	486	9	exhibits	exhibit	VERB
ejpam-6144	486	10	asymmetry	asymmetry	NOUN
ejpam-6144	486	11	,	,	PUNCT
ejpam-6144	486	12	with	with	ADP
ejpam-6144	486	13	some	some	DET
ejpam-6144	486	14	outlier	outlier	NOUN
ejpam-6144	486	15	observations	observation	NOUN
ejpam-6144	486	16	that	that	PRON
ejpam-6144	486	17	may	may	AUX
ejpam-6144	486	18	influence	influence	VERB
ejpam-6144	486	19	the	the	DET
ejpam-6144	486	20	model	model	NOUN
ejpam-6144	486	21	fitting	fitting	ADJ
ejpam-6144	486	22	and	and	CCONJ
ejpam-6144	486	23	interpretation	interpretation	NOUN
ejpam-6144	486	24	.	.	PUNCT
ejpam-6144	487	1	these	these	DET
ejpam-6144	487	2	characteristics	characteristic	NOUN
ejpam-6144	487	3	will	will	AUX
ejpam-6144	487	4	be	be	AUX
ejpam-6144	487	5	considered	consider	VERB
ejpam-6144	487	6	when	when	SCONJ
ejpam-6144	487	7	evaluating	evaluate	VERB
ejpam-6144	487	8	the	the	DET
ejpam-6144	487	9	effectiveness	effectiveness	NOUN
ejpam-6144	487	10	of	of	ADP
ejpam-6144	487	11	the	the	DET
ejpam-6144	487	12	dgzhlo	dgzhlo	NOUN
ejpam-6144	487	13	distribution	distribution	NOUN
ejpam-6144	487	14	compared	compare	VERB
ejpam-6144	487	15	to	to	ADP
ejpam-6144	487	16	other	other	ADJ
ejpam-6144	487	17	models	model	NOUN
ejpam-6144	487	18	.	.	PUNCT
ejpam-6144	488	1	m.	m.	NOUN
ejpam-6144	488	2	s.	s.	PROPN
ejpam-6144	488	3	eliwa	eliwa	PROPN
ejpam-6144	488	4	,	,	PUNCT
ejpam-6144	488	5	w.	w.	PROPN
ejpam-6144	488	6	e.	e.	PROPN
ejpam-6144	488	7	alghanem	alghanem	PROPN
ejpam-6144	488	8	,	,	PUNCT
ejpam-6144	488	9	m.	m.	NOUN
ejpam-6144	488	10	a.	a.	NOUN
ejpam-6144	488	11	alenizi	alenizi	PROPN
ejpam-6144	488	12	/	/	SYM
ejpam-6144	488	13	eur	eur	PROPN
ejpam-6144	488	14	.	.	PUNCT
ejpam-6144	489	1	j.	j.	PROPN
ejpam-6144	489	2	pure	pure	PROPN
ejpam-6144	489	3	appl	appl	PROPN
ejpam-6144	489	4	.	.	PROPN
ejpam-6144	489	5	math	math	PROPN
ejpam-6144	489	6	,	,	PUNCT
ejpam-6144	489	7	18	18	NUM
ejpam-6144	489	8	(	(	PUNCT
ejpam-6144	489	9	2	2	NUM
ejpam-6144	489	10	)	)	PUNCT
ejpam-6144	489	11	(	(	PUNCT
ejpam-6144	489	12	2025	2025	NUM
ejpam-6144	489	13	)	)	PUNCT
ejpam-6144	489	14	,	,	PUNCT
ejpam-6144	489	15	6144	6144	NUM
ejpam-6144	489	16	20	20	NUM
ejpam-6144	489	17	of	of	ADP
ejpam-6144	489	18	26	26	NUM
ejpam-6144	489	19	0	0	NUM
ejpam-6144	489	20	20	20	NUM
ejpam-6144	489	21	40	40	NUM
ejpam-6144	489	22	60	60	NUM
ejpam-6144	489	23	80	80	NUM
ejpam-6144	489	24	100	100	NUM
ejpam-6144	489	25	0	0	NUM
ejpam-6144	489	26	4	4	NUM
ejpam-6144	489	27	8	8	NUM
ejpam-6144	489	28	scatter	scatter	NOUN
ejpam-6144	489	29	|	|	ADV
ejpam-6144	489	30	scores	score	VERB
ejpam-6144	489	31	height	height	NOUN
ejpam-6144	489	32	s	s	X
ejpam-6144	489	33	c	c	NOUN
ejpam-6144	489	34	o	o	X
ejpam-6144	489	35	re	re	X
ejpam-6144	489	36	s	s	PROPN
ejpam-6144	489	37	−2	−2	NOUN
ejpam-6144	489	38	−1	−1	NOUN
ejpam-6144	489	39	0	0	NUM
ejpam-6144	489	40	1	1	NUM
ejpam-6144	489	41	2	2	NUM
ejpam-6144	489	42	0	0	NUM
ejpam-6144	489	43	4	4	NUM
ejpam-6144	489	44	8	8	NUM
ejpam-6144	489	45	normal	normal	ADJ
ejpam-6144	489	46	q−q	q−q	PROPN
ejpam-6144	489	47	plot	plot	NOUN
ejpam-6144	489	48	theoretical	theoretical	ADJ
ejpam-6144	489	49	quantiles	quantile	NOUN
ejpam-6144	489	50	s	s	VERB
ejpam-6144	489	51	a	a	DET
ejpam-6144	489	52	m	m	NOUN
ejpam-6144	489	53	p	p	X
ejpam-6144	489	54	le	le	X
ejpam-6144	489	55	q	q	PROPN
ejpam-6144	489	56	u	u	PROPN
ejpam-6144	489	57	a	a	DET
ejpam-6144	489	58	n	n	NOUN
ejpam-6144	489	59	ti	ti	X
ejpam-6144	489	60	le	le	X
ejpam-6144	489	61	s	s	NOUN
ejpam-6144	489	62	0	0	NUM
ejpam-6144	489	63	2	2	NUM
ejpam-6144	489	64	4	4	NUM
ejpam-6144	489	65	6	6	NUM
ejpam-6144	489	66	8	8	NUM
ejpam-6144	489	67	10	10	NUM
ejpam-6144	489	68	box	box	NOUN
ejpam-6144	489	69	plot	plot	NOUN
ejpam-6144	489	70	z	z	NOUN
ejpam-6144	489	71	0	0	NUM
ejpam-6144	489	72	4	4	NUM
ejpam-6144	489	73	8	8	NUM
ejpam-6144	489	74	1	1	NUM
ejpam-6144	489	75	violin	violin	NOUN
ejpam-6144	489	76	plot	plot	NOUN
ejpam-6144	489	77	figure	figure	NOUN
ejpam-6144	489	78	8	8	NUM
ejpam-6144	489	79	:	:	PUNCT
ejpam-6144	489	80	non	non	ADJ
ejpam-6144	489	81	-	-	ADJ
ejpam-6144	489	82	parametric	parametric	ADJ
ejpam-6144	489	83	plots	plot	NOUN
ejpam-6144	489	84	for	for	ADP
ejpam-6144	489	85	dataset	dataset	NOUN
ejpam-6144	489	86	ii	ii	PROPN
ejpam-6144	489	87	.	.	PUNCT
ejpam-6144	490	1	the	the	DET
ejpam-6144	490	2	mles	mle	NOUN
ejpam-6144	490	3	,	,	PUNCT
ejpam-6144	490	4	along	along	ADP
ejpam-6144	490	5	with	with	ADP
ejpam-6144	490	6	their	their	PRON
ejpam-6144	490	7	corresponding	corresponding	ADJ
ejpam-6144	490	8	standard	standard	ADJ
ejpam-6144	490	9	errors	error	NOUN
ejpam-6144	490	10	(	(	PUNCT
ejpam-6144	490	11	std	std	NOUN
ejpam-6144	490	12	-	-	PROPN
ejpam-6144	490	13	er	er	INTJ
ejpam-6144	490	14	)	)	PUNCT
ejpam-6144	490	15	,	,	PUNCT
ejpam-6144	490	16	and	and	CCONJ
ejpam-6144	490	17	the	the	DET
ejpam-6144	490	18	goodnessof	goodnessof	NOUN
ejpam-6144	490	19	-	-	PUNCT
ejpam-6144	490	20	fit	fit	NOUN
ejpam-6144	490	21	statistics	statistic	NOUN
ejpam-6144	490	22	are	be	AUX
ejpam-6144	490	23	presented	present	VERB
ejpam-6144	490	24	in	in	ADP
ejpam-6144	490	25	tables	table	NOUN
ejpam-6144	490	26	4	4	NUM
ejpam-6144	490	27	and	and	CCONJ
ejpam-6144	490	28	5	5	NUM
ejpam-6144	490	29	at	at	ADP
ejpam-6144	490	30	a	a	DET
ejpam-6144	490	31	significance	significance	NOUN
ejpam-6144	490	32	level	level	NOUN
ejpam-6144	490	33	of	of	ADP
ejpam-6144	490	34	0.05	0.05	NUM
ejpam-6144	490	35	,	,	PUNCT
ejpam-6144	490	36	respectively	respectively	ADV
ejpam-6144	490	37	.	.	PUNCT
ejpam-6144	490	38	table	table	NOUN
ejpam-6144	490	39	4	4	NUM
ejpam-6144	490	40	.	.	PUNCT
ejpam-6144	491	1	the	the	DET
ejpam-6144	491	2	mles	mle	NOUN
ejpam-6144	491	3	with	with	ADP
ejpam-6144	491	4	their	their	PRON
ejpam-6144	491	5	corresponding	correspond	VERB
ejpam-6144	491	6	std	std	NOUN
ejpam-6144	491	7	-	-	PROPN
ejpam-6144	491	8	er	er	INTJ
ejpam-6144	491	9	for	for	ADP
ejpam-6144	491	10	data	datum	NOUN
ejpam-6144	491	11	set	set	PROPN
ejpam-6144	491	12	ii	ii	PROPN
ejpam-6144	491	13	.	.	PUNCT
ejpam-6144	491	14	model	model	PROPN
ejpam-6144	491	15	↓	↓	PROPN
ejpam-6144	491	16	parameter	parameter	PROPN
ejpam-6144	491	17	→	→	PUNCT
ejpam-6144	491	18	γ	γ	X
ejpam-6144	491	19	τ	τ	PROPN
ejpam-6144	491	20	θ	θ	PROPN
ejpam-6144	491	21	mle	mle	PROPN
ejpam-6144	491	22	std	std	PROPN
ejpam-6144	491	23	-	-	PROPN
ejpam-6144	491	24	er	er	INTJ
ejpam-6144	491	25	mle	mle	PROPN
ejpam-6144	491	26	std	std	PROPN
ejpam-6144	491	27	-	-	PROPN
ejpam-6144	491	28	er	er	INTJ
ejpam-6144	491	29	mle	mle	PROPN
ejpam-6144	491	30	std	std	PROPN
ejpam-6144	491	31	-	-	PROPN
ejpam-6144	491	32	er	er	INTJ
ejpam-6144	491	33	dgzhlo	dgzhlo	PROPN
ejpam-6144	491	34	0.153	0.153	NUM
ejpam-6144	491	35	0.028	0.028	NUM
ejpam-6144	491	36	3.211	3.211	NUM
ejpam-6144	491	37	0.117	0.117	NUM
ejpam-6144	491	38	0.009	0.009	NUM
ejpam-6144	491	39	0.001	0.001	NUM
ejpam-6144	491	40	edw	edw	PROPN
ejpam-6144	491	41	0.989	0.989	NUM
ejpam-6144	491	42	0.164	0.164	NUM
ejpam-6144	491	43	1.139	1.139	NUM
ejpam-6144	491	44	3.227	3.227	NUM
ejpam-6144	491	45	0.784	0.784	NUM
ejpam-6144	491	46	3.053	3.053	NUM
ejpam-6144	491	47	dw	dw	NOUN
ejpam-6144	491	48	0.981	0.981	NUM
ejpam-6144	491	49	0.011	0.011	NUM
ejpam-6144	491	50	1.023	1.023	NUM
ejpam-6144	491	51	0.131	0.131	NUM
ejpam-6144	491	52	−	−	PROPN
ejpam-6144	491	53	−	−	PROPN
ejpam-6144	492	1	diw	diw	PROPN
ejpam-6144	492	2	0.018	0.018	NUM
ejpam-6144	492	3	0.013	0.013	NUM
ejpam-6144	492	4	0.582	0.582	NUM
ejpam-6144	492	5	0.061	0.061	NUM
ejpam-6144	492	6	−	−	PROPN
ejpam-6144	492	7	−	−	PROPN
ejpam-6144	492	8	dli	dli	PROPN
ejpam-6144	492	9	-	-	PUNCT
ejpam-6144	492	10	ii	ii	PROPN
ejpam-6144	492	11	0.969	0.969	NUM
ejpam-6144	492	12	0.005	0.005	NUM
ejpam-6144	492	13	0.058	0.058	NUM
ejpam-6144	492	14	0.027	0.027	NUM
ejpam-6144	492	15	−	−	PROPN
ejpam-6144	492	16	−	−	PROPN
ejpam-6144	492	17	edli	edli	NOUN
ejpam-6144	492	18	0.972	0.972	NUM
ejpam-6144	492	19	0.005	0.005	NUM
ejpam-6144	492	20	0.480	0.480	NUM
ejpam-6144	492	21	0.087	0.087	NUM
ejpam-6144	492	22	−	−	NOUN
ejpam-6144	492	23	−	−	PROPN
ejpam-6144	492	24	dllc	dllc	VERB
ejpam-6144	492	25	1.0	1.0	NUM
ejpam-6144	492	26	0.321	0.321	NUM
ejpam-6144	492	27	0.439	0.439	NUM
ejpam-6144	492	28	0.062	0.062	NUM
ejpam-6144	492	29	−	−	NOUN
ejpam-6144	492	30	−	−	PROPN
ejpam-6144	492	31	dpa	dpa	VERB
ejpam-6144	492	32	0.739	0.739	NUM
ejpam-6144	492	33	0.032	0.032	NUM
ejpam-6144	492	34	−	−	PROPN
ejpam-6144	493	1	−	−	PROPN
ejpam-6144	494	1	−	−	PROPN
ejpam-6144	494	2	−	−	NOUN
ejpam-6144	494	3	table	table	NOUN
ejpam-6144	494	4	5	5	NUM
ejpam-6144	494	5	.	.	PUNCT
ejpam-6144	495	1	the	the	DET
ejpam-6144	495	2	goodness	goodness	NOUN
ejpam-6144	495	3	-	-	PUNCT
ejpam-6144	495	4	of	of	ADP
ejpam-6144	495	5	-	-	PUNCT
ejpam-6144	495	6	fit	fit	ADJ
ejpam-6144	495	7	statistics	statistic	NOUN
ejpam-6144	495	8	for	for	ADP
ejpam-6144	495	9	data	datum	NOUN
ejpam-6144	495	10	set	set	PROPN
ejpam-6144	495	11	ii	ii	PROPN
ejpam-6144	495	12	.	.	PUNCT
ejpam-6144	495	13	statistic	statistic	PROPN
ejpam-6144	495	14	↓	↓	PROPN
ejpam-6144	495	15	model	model	PROPN
ejpam-6144	495	16	→	→	PUNCT
ejpam-6144	495	17	dgzhlo	dgzhlo	PROPN
ejpam-6144	495	18	edw	edw	PROPN
ejpam-6144	495	19	dw	dw	PROPN
ejpam-6144	495	20	diw	diw	PROPN
ejpam-6144	495	21	dli	dli	PROPN
ejpam-6144	495	22	-	-	PUNCT
ejpam-6144	495	23	ii	ii	PROPN
ejpam-6144	495	24	edli	edli	PROPN
ejpam-6144	495	25	dllc	dllc	NOUN
ejpam-6144	495	26	dpa	dpa	VERB
ejpam-6144	495	27	−l	−l	NOUN
ejpam-6144	495	28	235.0	235.0	NUM
ejpam-6144	495	29	240.2	240.2	NUM
ejpam-6144	495	30	241.6	241.6	NUM
ejpam-6144	495	31	261.9	261.9	NUM
ejpam-6144	495	32	240.6	240.6	NUM
ejpam-6144	495	33	240.3	240.3	NUM
ejpam-6144	495	34	294.9	294.9	NUM
ejpam-6144	495	35	275.9	275.9	NUM
ejpam-6144	495	36	aic	aic	PROPN
ejpam-6144	495	37	476.0	476.0	NUM
ejpam-6144	495	38	486.7	486.7	NUM
ejpam-6144	495	39	487.2	487.2	NUM
ejpam-6144	495	40	527.8	527.8	NUM
ejpam-6144	495	41	485.2	485.2	NUM
ejpam-6144	495	42	484.6	484.6	NUM
ejpam-6144	495	43	593.8	593.8	NUM
ejpam-6144	495	44	553.7	553.7	NUM
ejpam-6144	495	45	caic	caic	PROPN
ejpam-6144	495	46	476.6	476.6	NUM
ejpam-6144	495	47	487.2	487.2	NUM
ejpam-6144	495	48	487.5	487.5	NUM
ejpam-6144	495	49	528.1	528.1	NUM
ejpam-6144	495	50	485.4	485.4	NUM
ejpam-6144	495	51	484.8	484.8	NUM
ejpam-6144	495	52	594.0	594.0	NUM
ejpam-6144	495	53	553.8	553.8	NUM
ejpam-6144	495	54	k	k	X
ejpam-6144	495	55	-	-	PUNCT
ejpam-6144	495	56	s	s	PRON
ejpam-6144	495	57	0.171	0.171	NUM
ejpam-6144	495	58	0.195	0.195	NUM
ejpam-6144	495	59	0.187	0.187	NUM
ejpam-6144	495	60	0.258	0.258	NUM
ejpam-6144	495	61	0.186	0.186	NUM
ejpam-6144	495	62	0.195	0.195	NUM
ejpam-6144	495	63	0.535	0.535	NUM
ejpam-6144	495	64	0.335	0.335	NUM
ejpam-6144	495	65	p	p	NOUN
ejpam-6144	495	66	-	-	PUNCT
ejpam-6144	495	67	value	value	NOUN
ejpam-6144	495	68	0.106	0.106	NUM
ejpam-6144	495	69	0.045	0.045	NUM
ejpam-6144	495	70	0.061	0.061	NUM
ejpam-6144	495	71	0.0026	0.0026	NUM
ejpam-6144	495	72	0.064	0.064	NUM
ejpam-6144	495	73	0.045	0.045	NUM
ejpam-6144	495	74	<	<	X
ejpam-6144	495	75	0.001	0.001	NUM
ejpam-6144	495	76	<	<	X
ejpam-6144	495	77	0.001	0.001	NUM
ejpam-6144	495	78	m.	m.	NOUN
ejpam-6144	495	79	s.	s.	PROPN
ejpam-6144	495	80	eliwa	eliwa	PROPN
ejpam-6144	495	81	,	,	PUNCT
ejpam-6144	495	82	w.	w.	PROPN
ejpam-6144	495	83	e.	e.	PROPN
ejpam-6144	495	84	alghanem	alghanem	PROPN
ejpam-6144	495	85	,	,	PUNCT
ejpam-6144	495	86	m.	m.	NOUN
ejpam-6144	495	87	a.	a.	NOUN
ejpam-6144	495	88	alenizi	alenizi	PROPN
ejpam-6144	495	89	/	/	SYM
ejpam-6144	495	90	eur	eur	PROPN
ejpam-6144	495	91	.	.	PUNCT
ejpam-6144	496	1	j.	j.	PROPN
ejpam-6144	496	2	pure	pure	PROPN
ejpam-6144	496	3	appl	appl	PROPN
ejpam-6144	496	4	.	.	PROPN
ejpam-6144	496	5	math	math	PROPN
ejpam-6144	496	6	,	,	PUNCT
ejpam-6144	496	7	18	18	NUM
ejpam-6144	496	8	(	(	PUNCT
ejpam-6144	496	9	2	2	NUM
ejpam-6144	496	10	)	)	PUNCT
ejpam-6144	496	11	(	(	PUNCT
ejpam-6144	496	12	2025	2025	NUM
ejpam-6144	496	13	)	)	PUNCT
ejpam-6144	496	14	,	,	PUNCT
ejpam-6144	496	15	6144	6144	NUM
ejpam-6144	496	16	21	21	NUM
ejpam-6144	496	17	of	of	ADP
ejpam-6144	496	18	26	26	NUM
ejpam-6144	496	19	regarding	regard	VERB
ejpam-6144	496	20	table	table	NOUN
ejpam-6144	496	21	5	5	NUM
ejpam-6144	496	22	,	,	PUNCT
ejpam-6144	496	23	it	it	PRON
ejpam-6144	496	24	is	be	AUX
ejpam-6144	496	25	evident	evident	ADJ
ejpam-6144	496	26	that	that	SCONJ
ejpam-6144	496	27	the	the	DET
ejpam-6144	496	28	dgzhlo	dgzhlo	PROPN
ejpam-6144	496	29	,	,	PUNCT
ejpam-6144	496	30	edw	edw	PROPN
ejpam-6144	496	31	,	,	PUNCT
ejpam-6144	496	32	dw	dw	PROPN
ejpam-6144	496	33	,	,	PUNCT
ejpam-6144	496	34	dli	dli	PROPN
ejpam-6144	496	35	-	-	PUNCT
ejpam-6144	496	36	ii	ii	PROPN
ejpam-6144	496	37	,	,	PUNCT
ejpam-6144	496	38	and	and	CCONJ
ejpam-6144	496	39	edli	edli	NOUN
ejpam-6144	496	40	models	model	NOUN
ejpam-6144	496	41	all	all	PRON
ejpam-6144	496	42	perform	perform	VERB
ejpam-6144	496	43	reasonably	reasonably	ADV
ejpam-6144	496	44	well	well	ADV
ejpam-6144	496	45	in	in	ADP
ejpam-6144	496	46	analyzing	analyze	VERB
ejpam-6144	496	47	this	this	DET
ejpam-6144	496	48	data	data	NOUN
ejpam-6144	496	49	,	,	PUNCT
ejpam-6144	496	50	with	with	ADP
ejpam-6144	496	51	the	the	DET
ejpam-6144	496	52	dgzhlo	dgzhlo	PROPN
ejpam-6144	496	53	model	model	NOUN
ejpam-6144	496	54	showing	show	VERB
ejpam-6144	496	55	a	a	DET
ejpam-6144	496	56	pvalue	pvalue	NOUN
ejpam-6144	496	57	greater	great	ADJ
ejpam-6144	496	58	than	than	ADP
ejpam-6144	496	59	0.05	0.05	NUM
ejpam-6144	496	60	.	.	PUNCT
ejpam-6144	497	1	however	however	ADV
ejpam-6144	497	2	,	,	PUNCT
ejpam-6144	497	3	our	our	PRON
ejpam-6144	497	4	goal	goal	NOUN
ejpam-6144	497	5	is	be	AUX
ejpam-6144	497	6	always	always	ADV
ejpam-6144	497	7	to	to	PART
ejpam-6144	497	8	identify	identify	VERB
ejpam-6144	497	9	the	the	DET
ejpam-6144	497	10	best	good	ADJ
ejpam-6144	497	11	model	model	NOUN
ejpam-6144	497	12	for	for	ADP
ejpam-6144	497	13	optimal	optimal	ADJ
ejpam-6144	497	14	data	datum	NOUN
ejpam-6144	497	15	evaluation	evaluation	NOUN
ejpam-6144	497	16	.	.	PUNCT
ejpam-6144	498	1	based	base	VERB
ejpam-6144	498	2	on	on	ADP
ejpam-6144	498	3	the	the	DET
ejpam-6144	498	4	−l	−l	NOUN
ejpam-6144	498	5	,	,	PUNCT
ejpam-6144	498	6	aic	aic	PROPN
ejpam-6144	498	7	,	,	PUNCT
ejpam-6144	498	8	caic	caic	PROPN
ejpam-6144	498	9	,	,	PUNCT
ejpam-6144	498	10	k	k	PROPN
ejpam-6144	498	11	-	-	PUNCT
ejpam-6144	498	12	s	s	PART
ejpam-6144	498	13	statistics	statistic	NOUN
ejpam-6144	498	14	,	,	PUNCT
ejpam-6144	498	15	and	and	CCONJ
ejpam-6144	498	16	their	their	PRON
ejpam-6144	498	17	corresponding	corresponding	ADJ
ejpam-6144	498	18	p	p	NOUN
ejpam-6144	498	19	-	-	PUNCT
ejpam-6144	498	20	values	value	NOUN
ejpam-6144	498	21	,	,	PUNCT
ejpam-6144	498	22	we	we	PRON
ejpam-6144	498	23	conclude	conclude	VERB
ejpam-6144	498	24	that	that	SCONJ
ejpam-6144	498	25	the	the	DET
ejpam-6144	498	26	dgzhlo	dgzhlo	PROPN
ejpam-6144	498	27	model	model	NOUN
ejpam-6144	498	28	provides	provide	VERB
ejpam-6144	498	29	the	the	DET
ejpam-6144	498	30	best	good	ADJ
ejpam-6144	498	31	fit	fit	NOUN
ejpam-6144	498	32	among	among	ADP
ejpam-6144	498	33	all	all	DET
ejpam-6144	498	34	the	the	DET
ejpam-6144	498	35	tested	test	VERB
ejpam-6144	498	36	models	model	NOUN
ejpam-6144	498	37	.	.	PUNCT
ejpam-6144	499	1	this	this	PRON
ejpam-6144	499	2	is	be	AUX
ejpam-6144	499	3	evident	evident	ADJ
ejpam-6144	499	4	as	as	SCONJ
ejpam-6144	499	5	it	it	PRON
ejpam-6144	499	6	has	have	VERB
ejpam-6144	499	7	the	the	DET
ejpam-6144	499	8	smallest	small	ADJ
ejpam-6144	499	9	values	value	NOUN
ejpam-6144	499	10	for	for	ADP
ejpam-6144	499	11	−l	−l	NOUN
ejpam-6144	499	12	,	,	PUNCT
ejpam-6144	499	13	aic	aic	PROPN
ejpam-6144	499	14	,	,	PUNCT
ejpam-6144	499	15	caic	caic	PROPN
ejpam-6144	499	16	,	,	PUNCT
ejpam-6144	499	17	and	and	CCONJ
ejpam-6144	499	18	k	k	PROPN
ejpam-6144	499	19	-	-	PUNCT
ejpam-6144	499	20	s	s	PART
ejpam-6144	499	21	statistics	statistic	NOUN
ejpam-6144	499	22	,	,	PUNCT
ejpam-6144	499	23	along	along	ADP
ejpam-6144	499	24	with	with	ADP
ejpam-6144	499	25	the	the	DET
ejpam-6144	499	26	highest	high	ADJ
ejpam-6144	499	27	p	p	NOUN
ejpam-6144	499	28	-	-	PUNCT
ejpam-6144	499	29	value	value	NOUN
ejpam-6144	499	30	.	.	PUNCT
ejpam-6144	500	1	figure	figure	NOUN
ejpam-6144	500	2	9	9	NUM
ejpam-6144	500	3	further	far	ADV
ejpam-6144	500	4	supports	support	VERB
ejpam-6144	500	5	the	the	DET
ejpam-6144	500	6	findings	finding	NOUN
ejpam-6144	500	7	presented	present	VERB
ejpam-6144	500	8	in	in	ADP
ejpam-6144	500	9	table	table	NOUN
ejpam-6144	500	10	5	5	NUM
ejpam-6144	500	11	,	,	PUNCT
ejpam-6144	500	12	where	where	SCONJ
ejpam-6144	500	13	”	"	PUNCT
ejpam-6144	500	14	pp	pp	ADJ
ejpam-6144	500	15	”	"	PUNCT
ejpam-6144	500	16	refers	refer	VERB
ejpam-6144	500	17	to	to	ADP
ejpam-6144	500	18	the	the	DET
ejpam-6144	500	19	probability	probability	NOUN
ejpam-6144	500	20	-	-	PUNCT
ejpam-6144	500	21	probability	probability	NOUN
ejpam-6144	500	22	plot	plot	NOUN
ejpam-6144	500	23	.	.	PUNCT
ejpam-6144	501	1	0	0	NUM
ejpam-6144	502	1	20	20	NUM
ejpam-6144	502	2	40	40	NUM
ejpam-6144	502	3	60	60	NUM
ejpam-6144	502	4	80	80	NUM
ejpam-6144	502	5	0	0	NUM
ejpam-6144	502	6	.0	.0	NUM
ejpam-6144	502	7	1	1	NUM
ejpam-6144	502	8	0	0	NUM
ejpam-6144	502	9	.0	.0	NUM
ejpam-6144	502	10	3	3	NUM
ejpam-6144	502	11	0	0	NUM
ejpam-6144	503	1	.0	.0	NUM
ejpam-6144	503	2	5	5	NUM
ejpam-6144	503	3	hrf	hrf	PROPN
ejpam-6144	503	4	plot	plot	NOUN
ejpam-6144	503	5	z	z	NOUN
ejpam-6144	504	1	h	h	NOUN
ejpam-6144	505	1	r	r	NOUN
ejpam-6144	505	2	f	f	PROPN
ejpam-6144	505	3	0.0	0.0	NUM
ejpam-6144	505	4	0.2	0.2	NUM
ejpam-6144	505	5	0.4	0.4	NUM
ejpam-6144	505	6	0.6	0.6	NUM
ejpam-6144	505	7	0.8	0.8	NUM
ejpam-6144	505	8	1.0	1.0	NUM
ejpam-6144	505	9	0	0	NUM
ejpam-6144	505	10	.0	.0	NUM
ejpam-6144	505	11	0	0	NUM
ejpam-6144	506	1	.2	.2	NUM
ejpam-6144	506	2	0	0	NUM
ejpam-6144	507	1	.4	.4	NUM
ejpam-6144	507	2	0	0	NUM
ejpam-6144	508	1	.6	.6	NUM
ejpam-6144	508	2	0	0	NUM
ejpam-6144	508	3	.8	.8	NUM
ejpam-6144	508	4	1	1	NUM
ejpam-6144	508	5	.0	.0	NUM
ejpam-6144	508	6	pp	pp	ADJ
ejpam-6144	508	7	plot	plot	NOUN
ejpam-6144	508	8	obs	obs	PROPN
ejpam-6144	508	9	e	e	NOUN
ejpam-6144	508	10	x	x	PROPN
ejpam-6144	509	1	p	p	NOUN
ejpam-6144	509	2	0	0	NUM
ejpam-6144	509	3	20	20	NUM
ejpam-6144	509	4	40	40	NUM
ejpam-6144	509	5	60	60	NUM
ejpam-6144	509	6	80	80	NUM
ejpam-6144	509	7	0	0	NUM
ejpam-6144	509	8	.0	.0	NUM
ejpam-6144	509	9	0	0	NUM
ejpam-6144	510	1	.2	.2	NUM
ejpam-6144	510	2	0	0	NUM
ejpam-6144	511	1	.4	.4	NUM
ejpam-6144	511	2	0	0	NUM
ejpam-6144	512	1	.6	.6	NUM
ejpam-6144	512	2	0	0	NUM
ejpam-6144	512	3	.8	.8	NUM
ejpam-6144	512	4	1	1	NUM
ejpam-6144	512	5	.0	.0	NUM
ejpam-6144	512	6	z	z	NOUN
ejpam-6144	512	7	f	f	X
ejpam-6144	512	8	(	(	PUNCT
ejpam-6144	512	9	z	z	NOUN
ejpam-6144	512	10	)	)	PUNCT
ejpam-6144	512	11	0	0	NUM
ejpam-6144	512	12	20	20	NUM
ejpam-6144	512	13	40	40	NUM
ejpam-6144	512	14	60	60	NUM
ejpam-6144	512	15	80	80	NUM
ejpam-6144	512	16	0	0	NUM
ejpam-6144	513	1	.0	.0	NUM
ejpam-6144	513	2	0	0	NUM
ejpam-6144	514	1	.2	.2	NUM
ejpam-6144	514	2	0	0	NUM
ejpam-6144	515	1	.4	.4	NUM
ejpam-6144	515	2	0	0	NUM
ejpam-6144	516	1	.6	.6	NUM
ejpam-6144	516	2	0	0	NUM
ejpam-6144	516	3	.8	.8	NUM
ejpam-6144	516	4	1	1	NUM
ejpam-6144	516	5	.0	.0	NUM
ejpam-6144	516	6	empirical	empirical	ADJ
ejpam-6144	516	7	cdf	cdf	PROPN
ejpam-6144	516	8	f	f	PROPN
ejpam-6144	516	9	(	(	PUNCT
ejpam-6144	516	10	z	z	NOUN
ejpam-6144	516	11	)	)	PUNCT
ejpam-6144	516	12	figure	figure	NOUN
ejpam-6144	516	13	9	9	NUM
ejpam-6144	516	14	:	:	PUNCT
ejpam-6144	516	15	the	the	DET
ejpam-6144	516	16	hrf	hrf	PROPN
ejpam-6144	516	17	,	,	PUNCT
ejpam-6144	516	18	pp	pp	ADP
ejpam-6144	516	19	plot	plot	NOUN
ejpam-6144	516	20	,	,	PUNCT
ejpam-6144	516	21	and	and	CCONJ
ejpam-6144	516	22	estimated	estimate	VERB
ejpam-6144	516	23	cdfs	cdfs	PROPN
ejpam-6144	516	24	for	for	ADP
ejpam-6144	516	25	dataset	dataset	PROPN
ejpam-6144	516	26	ii	ii	PROPN
ejpam-6144	516	27	.	.	PUNCT
ejpam-6144	517	1	it	it	PRON
ejpam-6144	517	2	is	be	AUX
ejpam-6144	517	3	evident	evident	ADJ
ejpam-6144	517	4	that	that	SCONJ
ejpam-6144	517	5	the	the	DET
ejpam-6144	517	6	dataset	dataset	NOUN
ejpam-6144	517	7	,	,	PUNCT
ejpam-6144	517	8	dataset	dataset	PROPN
ejpam-6144	517	9	ii	ii	PROPN
ejpam-6144	517	10	,	,	PUNCT
ejpam-6144	517	11	is	be	AUX
ejpam-6144	517	12	best	well	ADV
ejpam-6144	517	13	modeled	model	VERB
ejpam-6144	517	14	by	by	ADP
ejpam-6144	517	15	the	the	DET
ejpam-6144	517	16	dgzhlo	dgzhlo	PROPN
ejpam-6144	517	17	distribution	distribution	NOUN
ejpam-6144	517	18	.	.	PUNCT
ejpam-6144	518	1	6.3	6.3	NUM
ejpam-6144	518	2	.	.	PUNCT
ejpam-6144	519	1	dataset	dataset	PROPN
ejpam-6144	519	2	iii	iii	PROPN
ejpam-6144	519	3	:	:	PUNCT
ejpam-6144	519	4	electronic	electronic	ADJ
ejpam-6144	519	5	components	component	NOUN
ejpam-6144	519	6	this	this	DET
ejpam-6144	519	7	data	datum	NOUN
ejpam-6144	519	8	,	,	PUNCT
ejpam-6144	519	9	reported	report	VERB
ejpam-6144	519	10	in	in	ADP
ejpam-6144	519	11	lawless	lawless	ADJ
ejpam-6144	520	1	[	[	X
ejpam-6144	520	2	7	7	NUM
ejpam-6144	520	3	]	]	PUNCT
ejpam-6144	520	4	,	,	PUNCT
ejpam-6144	520	5	presents	present	VERB
ejpam-6144	520	6	the	the	DET
ejpam-6144	520	7	failure	failure	NOUN
ejpam-6144	520	8	times	time	NOUN
ejpam-6144	520	9	for	for	ADP
ejpam-6144	520	10	a	a	DET
ejpam-6144	520	11	sample	sample	NOUN
ejpam-6144	520	12	of	of	ADP
ejpam-6144	520	13	15	15	NUM
ejpam-6144	520	14	electronic	electronic	ADJ
ejpam-6144	520	15	components	component	NOUN
ejpam-6144	520	16	in	in	ADP
ejpam-6144	520	17	an	an	DET
ejpam-6144	520	18	accelerated	accelerate	VERB
ejpam-6144	520	19	life	life	NOUN
ejpam-6144	520	20	test	test	NOUN
ejpam-6144	520	21	,	,	PUNCT
ejpam-6144	520	22	focusing	focus	VERB
ejpam-6144	520	23	on	on	ADP
ejpam-6144	520	24	sustainable	sustainable	ADJ
ejpam-6144	520	25	dispersion	dispersion	NOUN
ejpam-6144	520	26	data	datum	NOUN
ejpam-6144	520	27	.	.	PUNCT
ejpam-6144	521	1	non	non	ADJ
ejpam-6144	521	2	-	-	ADJ
ejpam-6144	521	3	parametric	parametric	ADJ
ejpam-6144	521	4	plots	plot	NOUN
ejpam-6144	521	5	are	be	AUX
ejpam-6144	521	6	shown	show	VERB
ejpam-6144	521	7	in	in	ADP
ejpam-6144	521	8	figure	figure	NOUN
ejpam-6144	521	9	10	10	NUM
ejpam-6144	521	10	.	.	PUNCT
ejpam-6144	522	1	the	the	DET
ejpam-6144	522	2	data	data	NOUN
ejpam-6144	522	3	is	be	AUX
ejpam-6144	522	4	asymmetric	asymmetric	ADJ
ejpam-6144	522	5	,	,	PUNCT
ejpam-6144	522	6	without	without	ADP
ejpam-6144	522	7	any	any	DET
ejpam-6144	522	8	extreme	extreme	ADJ
ejpam-6144	522	9	observations	observation	NOUN
ejpam-6144	522	10	.	.	PUNCT
ejpam-6144	523	1	for	for	ADP
ejpam-6144	523	2	this	this	DET
ejpam-6144	523	3	dataset	dataset	NOUN
ejpam-6144	523	4	,	,	PUNCT
ejpam-6144	523	5	we	we	PRON
ejpam-6144	523	6	will	will	AUX
ejpam-6144	523	7	compare	compare	VERB
ejpam-6144	523	8	the	the	DET
ejpam-6144	523	9	fit	fit	NOUN
ejpam-6144	523	10	of	of	ADP
ejpam-6144	523	11	the	the	DET
ejpam-6144	523	12	dgzhlo	dgzhlo	NOUN
ejpam-6144	523	13	distribution	distribution	NOUN
ejpam-6144	523	14	with	with	ADP
ejpam-6144	523	15	several	several	ADJ
ejpam-6144	523	16	competitive	competitive	ADJ
ejpam-6144	523	17	models	model	NOUN
ejpam-6144	523	18	.	.	PUNCT
ejpam-6144	524	1	the	the	DET
ejpam-6144	524	2	mles	mle	NOUN
ejpam-6144	524	3	along	along	ADP
ejpam-6144	524	4	with	with	ADP
ejpam-6144	524	5	their	their	PRON
ejpam-6144	524	6	corresponding	correspond	VERB
ejpam-6144	524	7	std	std	NOUN
ejpam-6144	524	8	-	-	PROPN
ejpam-6144	524	9	er	er	INTJ
ejpam-6144	524	10	,	,	PUNCT
ejpam-6144	524	11	as	as	ADV
ejpam-6144	524	12	well	well	ADV
ejpam-6144	524	13	as	as	ADP
ejpam-6144	524	14	the	the	DET
ejpam-6144	524	15	goodness	goodness	NOUN
ejpam-6144	524	16	-	-	PUNCT
ejpam-6144	524	17	of	of	ADP
ejpam-6144	524	18	-	-	PUNCT
ejpam-6144	524	19	fit	fit	ADJ
ejpam-6144	524	20	statistics	statistic	NOUN
ejpam-6144	524	21	,	,	PUNCT
ejpam-6144	524	22	are	be	AUX
ejpam-6144	524	23	presented	present	VERB
ejpam-6144	524	24	in	in	ADP
ejpam-6144	524	25	tables	table	NOUN
ejpam-6144	524	26	6	6	NUM
ejpam-6144	524	27	and	and	CCONJ
ejpam-6144	524	28	7	7	NUM
ejpam-6144	524	29	,	,	PUNCT
ejpam-6144	524	30	respectively	respectively	ADV
ejpam-6144	524	31	.	.	PUNCT
ejpam-6144	525	1	m.	m.	PROPN
ejpam-6144	525	2	s.	s.	PROPN
ejpam-6144	525	3	eliwa	eliwa	PROPN
ejpam-6144	525	4	,	,	PUNCT
ejpam-6144	525	5	w.	w.	PROPN
ejpam-6144	525	6	e.	e.	PROPN
ejpam-6144	525	7	alghanem	alghanem	PROPN
ejpam-6144	525	8	,	,	PUNCT
ejpam-6144	525	9	m.	m.	NOUN
ejpam-6144	525	10	a.	a.	NOUN
ejpam-6144	525	11	alenizi	alenizi	PROPN
ejpam-6144	525	12	/	/	SYM
ejpam-6144	525	13	eur	eur	PROPN
ejpam-6144	525	14	.	.	PUNCT
ejpam-6144	526	1	j.	j.	PROPN
ejpam-6144	526	2	pure	pure	PROPN
ejpam-6144	526	3	appl	appl	PROPN
ejpam-6144	526	4	.	.	PROPN
ejpam-6144	526	5	math	math	PROPN
ejpam-6144	526	6	,	,	PUNCT
ejpam-6144	526	7	18	18	NUM
ejpam-6144	526	8	(	(	PUNCT
ejpam-6144	526	9	2	2	NUM
ejpam-6144	526	10	)	)	PUNCT
ejpam-6144	526	11	(	(	PUNCT
ejpam-6144	526	12	2025	2025	NUM
ejpam-6144	526	13	)	)	PUNCT
ejpam-6144	526	14	,	,	PUNCT
ejpam-6144	526	15	6144	6144	NUM
ejpam-6144	526	16	22	22	NUM
ejpam-6144	526	17	of	of	ADP
ejpam-6144	526	18	26	26	NUM
ejpam-6144	526	19	2	2	NUM
ejpam-6144	526	20	4	4	NUM
ejpam-6144	526	21	6	6	NUM
ejpam-6144	526	22	8	8	NUM
ejpam-6144	526	23	10	10	NUM
ejpam-6144	526	24	12	12	NUM
ejpam-6144	526	25	14	14	NUM
ejpam-6144	526	26	0	0	NUM
ejpam-6144	526	27	2	2	NUM
ejpam-6144	526	28	0	0	NUM
ejpam-6144	526	29	4	4	NUM
ejpam-6144	526	30	0	0	NUM
ejpam-6144	526	31	6	6	NUM
ejpam-6144	526	32	0	0	NUM
ejpam-6144	526	33	scatter	scatter	NOUN
ejpam-6144	526	34	|	|	NOUN
ejpam-6144	526	35	scores	score	VERB
ejpam-6144	526	36	height	height	NOUN
ejpam-6144	526	37	s	s	X
ejpam-6144	526	38	c	c	NOUN
ejpam-6144	526	39	o	o	X
ejpam-6144	526	40	re	re	X
ejpam-6144	526	41	s	s	NOUN
ejpam-6144	526	42	−1	−1	NOUN
ejpam-6144	526	43	0	0	NUM
ejpam-6144	526	44	1	1	NUM
ejpam-6144	526	45	0	0	NUM
ejpam-6144	526	46	2	2	NUM
ejpam-6144	526	47	0	0	NUM
ejpam-6144	526	48	4	4	NUM
ejpam-6144	526	49	0	0	NUM
ejpam-6144	526	50	6	6	NUM
ejpam-6144	526	51	0	0	NUM
ejpam-6144	526	52	normal	normal	ADJ
ejpam-6144	526	53	q−q	q−q	PROPN
ejpam-6144	526	54	plot	plot	NOUN
ejpam-6144	526	55	theoretical	theoretical	ADJ
ejpam-6144	526	56	quantiles	quantile	NOUN
ejpam-6144	526	57	s	s	VERB
ejpam-6144	526	58	a	a	DET
ejpam-6144	526	59	m	m	NOUN
ejpam-6144	526	60	p	p	X
ejpam-6144	526	61	le	le	X
ejpam-6144	526	62	q	q	PROPN
ejpam-6144	526	63	u	u	PROPN
ejpam-6144	526	64	a	a	DET
ejpam-6144	526	65	n	n	NOUN
ejpam-6144	526	66	ti	ti	X
ejpam-6144	526	67	le	le	X
ejpam-6144	526	68	s	s	PROPN
ejpam-6144	526	69	0	0	NUM
ejpam-6144	526	70	10	10	NUM
ejpam-6144	526	71	20	20	NUM
ejpam-6144	526	72	30	30	NUM
ejpam-6144	526	73	40	40	NUM
ejpam-6144	526	74	50	50	NUM
ejpam-6144	526	75	60	60	NUM
ejpam-6144	526	76	box	box	NOUN
ejpam-6144	526	77	plot	plot	NOUN
ejpam-6144	526	78	z	z	NOUN
ejpam-6144	526	79	0	0	NUM
ejpam-6144	526	80	2	2	NUM
ejpam-6144	526	81	0	0	NUM
ejpam-6144	526	82	4	4	NUM
ejpam-6144	526	83	0	0	NUM
ejpam-6144	526	84	6	6	NUM
ejpam-6144	526	85	0	0	NUM
ejpam-6144	526	86	1	1	NUM
ejpam-6144	526	87	violin	violin	NOUN
ejpam-6144	526	88	plot	plot	NOUN
ejpam-6144	526	89	figure	figure	NOUN
ejpam-6144	526	90	10	10	NUM
ejpam-6144	526	91	:	:	PUNCT
ejpam-6144	526	92	non	non	ADJ
ejpam-6144	526	93	-	-	ADJ
ejpam-6144	526	94	parametric	parametric	ADJ
ejpam-6144	526	95	plots	plot	NOUN
ejpam-6144	526	96	for	for	ADP
ejpam-6144	526	97	dataset	dataset	NOUN
ejpam-6144	526	98	iii	iii	PROPN
ejpam-6144	526	99	.	.	PROPN
ejpam-6144	526	100	table	table	NOUN
ejpam-6144	526	101	6	6	NUM
ejpam-6144	526	102	.	.	PUNCT
ejpam-6144	527	1	the	the	DET
ejpam-6144	527	2	mles	mle	NOUN
ejpam-6144	527	3	with	with	ADP
ejpam-6144	527	4	their	their	PRON
ejpam-6144	527	5	corresponding	correspond	VERB
ejpam-6144	527	6	std	std	NOUN
ejpam-6144	527	7	-	-	PROPN
ejpam-6144	527	8	er	er	INTJ
ejpam-6144	527	9	for	for	ADP
ejpam-6144	527	10	data	datum	NOUN
ejpam-6144	527	11	set	set	PROPN
ejpam-6144	527	12	iii	iii	PROPN
ejpam-6144	527	13	.	.	PROPN
ejpam-6144	527	14	model	model	PROPN
ejpam-6144	527	15	↓	↓	PROPN
ejpam-6144	527	16	parameter	parameter	PROPN
ejpam-6144	527	17	→	→	PUNCT
ejpam-6144	527	18	γ	γ	X
ejpam-6144	527	19	τ	τ	PROPN
ejpam-6144	527	20	θ	θ	PROPN
ejpam-6144	527	21	mle	mle	PROPN
ejpam-6144	527	22	std	std	PROPN
ejpam-6144	527	23	-	-	PROPN
ejpam-6144	527	24	er	er	INTJ
ejpam-6144	527	25	mle	mle	PROPN
ejpam-6144	527	26	std	std	PROPN
ejpam-6144	527	27	-	-	PROPN
ejpam-6144	527	28	er	er	INTJ
ejpam-6144	527	29	mle	mle	PROPN
ejpam-6144	527	30	std	std	PROPN
ejpam-6144	527	31	-	-	PROPN
ejpam-6144	527	32	er	er	INTJ
ejpam-6144	527	33	dgzhlo	dgzhlo	NOUN
ejpam-6144	527	34	0.959	0.959	NUM
ejpam-6144	527	35	0.019	0.019	NUM
ejpam-6144	527	36	0.037	0.037	NUM
ejpam-6144	527	37	0.026	0.026	NUM
ejpam-6144	527	38	0.550	0.550	NUM
ejpam-6144	527	39	0.004	0.004	NUM
ejpam-6144	527	40	dgzex	dgzex	NOUN
ejpam-6144	527	41	0.587	0.587	NUM
ejpam-6144	527	42	0.023	0.023	NUM
ejpam-6144	527	43	0.588	0.588	NUM
ejpam-6144	527	44	0.041	0.041	NUM
ejpam-6144	527	45	0.039	0.039	NUM
ejpam-6144	527	46	0.002	0.002	NUM
ejpam-6144	527	47	dex	dex	NOUN
ejpam-6144	527	48	0.965	0.965	NUM
ejpam-6144	527	49	0.009	0.009	NUM
ejpam-6144	527	50	−	−	NOUN
ejpam-6144	527	51	−	−	PROPN
ejpam-6144	527	52	−	−	PROPN
ejpam-6144	527	53	−	−	PROPN
ejpam-6144	527	54	dgex	dgex	NOUN
ejpam-6144	527	55	-	-	PUNCT
ejpam-6144	527	56	ii	ii	NOUN
ejpam-6144	527	57	0.956	0.956	NUM
ejpam-6144	527	58	0.013	0.013	NUM
ejpam-6144	527	59	1.491	1.491	NUM
ejpam-6144	527	60	0.535	0.535	NUM
ejpam-6144	527	61	−	−	PROPN
ejpam-6144	527	62	−	−	PROPN
ejpam-6144	527	63	dr	dr	PROPN
ejpam-6144	527	64	0.999	0.999	NUM
ejpam-6144	527	65	2.58×	2.58×	NUM
ejpam-6144	527	66	10−4	10−4	NUM
ejpam-6144	527	67	−	−	PROPN
ejpam-6144	527	68	−	−	PROPN
ejpam-6144	527	69	−	−	PROPN
ejpam-6144	527	70	−	−	PROPN
ejpam-6144	527	71	dir	dir	NOUN
ejpam-6144	527	72	1.8×	1.8×	NUM
ejpam-6144	527	73	10−7	10−7	NUM
ejpam-6144	527	74	0.055	0.055	NUM
ejpam-6144	527	75	−	−	NOUN
ejpam-6144	527	76	−	−	NOUN
ejpam-6144	527	77	−	−	PROPN
ejpam-6144	527	78	−	−	PROPN
ejpam-6144	528	1	diw	diw	PROPN
ejpam-6144	528	2	2.2×	2.2×	NUM
ejpam-6144	528	3	10−4	10−4	NUM
ejpam-6144	528	4	7.75×	7.75×	NUM
ejpam-6144	528	5	10−4	10−4	NUM
ejpam-6144	528	6	0.875	0.875	NUM
ejpam-6144	528	7	0.164	0.164	NUM
ejpam-6144	528	8	−	−	NOUN
ejpam-6144	528	9	−	−	PROPN
ejpam-6144	528	10	dlo	dlo	NOUN
ejpam-6144	528	11	0.012	0.012	NUM
ejpam-6144	528	12	0.039	0.039	NUM
ejpam-6144	528	13	104.506	104.506	NUM
ejpam-6144	528	14	84.409	84.409	NUM
ejpam-6144	528	15	−	−	NUM
ejpam-6144	528	16	−	−	PROPN
ejpam-6144	528	17	db	db	PROPN
ejpam-6144	528	18	-	-	PUNCT
ejpam-6144	528	19	xii	xii	NOUN
ejpam-6144	528	20	0.975	0.975	NUM
ejpam-6144	528	21	0.051	0.051	NUM
ejpam-6144	528	22	13.367	13.367	NUM
ejpam-6144	528	23	27.785	27.785	NUM
ejpam-6144	528	24	−	−	NOUN
ejpam-6144	528	25	−	−	PROPN
ejpam-6144	528	26	dpa	dpa	VERB
ejpam-6144	528	27	0.720	0.720	NUM
ejpam-6144	528	28	0.061	0.061	NUM
ejpam-6144	528	29	−	−	NOUN
ejpam-6144	528	30	−	−	PROPN
ejpam-6144	528	31	−	−	PROPN
ejpam-6144	528	32	−	−	NOUN
ejpam-6144	528	33	table	table	NOUN
ejpam-6144	528	34	7	7	NUM
ejpam-6144	528	35	.	.	PUNCT
ejpam-6144	529	1	the	the	DET
ejpam-6144	529	2	goodness	goodness	NOUN
ejpam-6144	529	3	-	-	PUNCT
ejpam-6144	529	4	of	of	ADP
ejpam-6144	529	5	-	-	PUNCT
ejpam-6144	529	6	fit	fit	ADJ
ejpam-6144	529	7	statistics	statistic	NOUN
ejpam-6144	529	8	for	for	ADP
ejpam-6144	529	9	data	datum	NOUN
ejpam-6144	529	10	set	set	PROPN
ejpam-6144	529	11	iii	iii	PROPN
ejpam-6144	529	12	.	.	PUNCT
ejpam-6144	529	13	model	model	PROPN
ejpam-6144	529	14	statistic	statistic	PROPN
ejpam-6144	529	15	dgzhlo	dgzhlo	PROPN
ejpam-6144	529	16	dgzex	dgzex	PROPN
ejpam-6144	529	17	geo	geo	PROPN
ejpam-6144	529	18	dgex	dgex	PROPN
ejpam-6144	529	19	-	-	PUNCT
ejpam-6144	529	20	ii	ii	PROPN
ejpam-6144	529	21	dr	dr	PROPN
ejpam-6144	529	22	dir	dir	PROPN
ejpam-6144	529	23	diw	diw	PROPN
ejpam-6144	529	24	dlo	dlo	PROPN
ejpam-6144	529	25	db	db	PROPN
ejpam-6144	529	26	-	-	PUNCT
ejpam-6144	529	27	xii	xii	PROPN
ejpam-6144	529	28	dpa	dpa	NOUN
ejpam-6144	529	29	−l	−l	NOUN
ejpam-6144	529	30	62.934	62.934	NUM
ejpam-6144	529	31	63.804	63.804	NUM
ejpam-6144	529	32	65.000	65.000	NUM
ejpam-6144	529	33	64.420	64.420	NUM
ejpam-6144	529	34	66.394	66.394	NUM
ejpam-6144	529	35	89.096	89.096	NUM
ejpam-6144	529	36	68.703	68.703	NUM
ejpam-6144	529	37	65.864	65.864	NUM
ejpam-6144	529	38	75.724	75.724	NUM
ejpam-6144	529	39	77.402	77.402	NUM
ejpam-6144	529	40	aic	aic	PROPN
ejpam-6144	529	41	131.868	131.868	NUM
ejpam-6144	529	42	133.608	133.608	NUM
ejpam-6144	529	43	134.000	134.000	NUM
ejpam-6144	529	44	134.839	134.839	NUM
ejpam-6144	529	45	134.788	134.788	NUM
ejpam-6144	529	46	180.192	180.192	NUM
ejpam-6144	529	47	141.406	141.406	NUM
ejpam-6144	529	48	135.728	135.728	NUM
ejpam-6144	529	49	155.448	155.448	NUM
ejpam-6144	529	50	156.805	156.805	NUM
ejpam-6144	529	51	caic	caic	PROPN
ejpam-6144	529	52	134.049	134.049	NUM
ejpam-6144	529	53	135.789	135.789	NUM
ejpam-6144	529	54	136.308	136.308	NUM
ejpam-6144	529	55	135.839	135.839	NUM
ejpam-6144	529	56	136.096	136.096	NUM
ejpam-6144	529	57	180.499	180.499	NUM
ejpam-6144	529	58	142.406	142.406	NUM
ejpam-6144	529	59	136.728	136.728	NUM
ejpam-6144	529	60	156.448	156.448	NUM
ejpam-6144	529	61	157.112	157.112	NUM
ejpam-6144	529	62	k	k	PROPN
ejpam-6144	529	63	-	-	PUNCT
ejpam-6144	529	64	s	s	PART
ejpam-6144	529	65	0.116	0.116	NUM
ejpam-6144	529	66	0.120	0.120	NUM
ejpam-6144	529	67	0.177	0.177	NUM
ejpam-6144	529	68	0.129	0.129	NUM
ejpam-6144	529	69	0.216	0.216	NUM
ejpam-6144	529	70	0.698	0.698	NUM
ejpam-6144	529	71	0.209	0.209	NUM
ejpam-6144	529	72	0.205	0.205	NUM
ejpam-6144	529	73	0.388	0.388	NUM
ejpam-6144	529	74	0.405	0.405	NUM
ejpam-6144	529	75	p	p	NOUN
ejpam-6144	529	76	-	-	PUNCT
ejpam-6144	529	77	value	value	NOUN
ejpam-6144	529	78	0.974	0.974	NUM
ejpam-6144	529	79	0.963	0.963	NUM
ejpam-6144	529	80	0.673	0.673	NUM
ejpam-6144	529	81	0.937	0.937	NUM
ejpam-6144	529	82	0.433	0.433	NUM
ejpam-6144	529	83	9.1×	9.1×	NUM
ejpam-6144	529	84	10−7	10−7	NUM
ejpam-6144	529	85	0.482	0.482	NUM
ejpam-6144	529	86	0.491	0.491	NUM
ejpam-6144	529	87	0.015	0.015	NUM
ejpam-6144	529	88	0.009	0.009	NUM
ejpam-6144	529	89	m.	m.	NOUN
ejpam-6144	529	90	s.	s.	PROPN
ejpam-6144	529	91	eliwa	eliwa	PROPN
ejpam-6144	529	92	,	,	PUNCT
ejpam-6144	529	93	w.	w.	PROPN
ejpam-6144	529	94	e.	e.	PROPN
ejpam-6144	529	95	alghanem	alghanem	PROPN
ejpam-6144	529	96	,	,	PUNCT
ejpam-6144	529	97	m.	m.	NOUN
ejpam-6144	529	98	a.	a.	NOUN
ejpam-6144	529	99	alenizi	alenizi	PROPN
ejpam-6144	529	100	/	/	SYM
ejpam-6144	529	101	eur	eur	PROPN
ejpam-6144	529	102	.	.	PUNCT
ejpam-6144	530	1	j.	j.	PROPN
ejpam-6144	530	2	pure	pure	PROPN
ejpam-6144	530	3	appl	appl	PROPN
ejpam-6144	530	4	.	.	PROPN
ejpam-6144	530	5	math	math	PROPN
ejpam-6144	530	6	,	,	PUNCT
ejpam-6144	530	7	18	18	NUM
ejpam-6144	530	8	(	(	PUNCT
ejpam-6144	530	9	2	2	NUM
ejpam-6144	530	10	)	)	PUNCT
ejpam-6144	530	11	(	(	PUNCT
ejpam-6144	530	12	2025	2025	NUM
ejpam-6144	530	13	)	)	PUNCT
ejpam-6144	530	14	,	,	PUNCT
ejpam-6144	530	15	6144	6144	NUM
ejpam-6144	530	16	23	23	NUM
ejpam-6144	530	17	of	of	ADP
ejpam-6144	530	18	26	26	NUM
ejpam-6144	530	19	regarding	regard	VERB
ejpam-6144	530	20	table	table	NOUN
ejpam-6144	530	21	7	7	NUM
ejpam-6144	530	22	,	,	PUNCT
ejpam-6144	530	23	the	the	DET
ejpam-6144	530	24	dgzhlo	dgzhlo	NOUN
ejpam-6144	530	25	distribution	distribution	NOUN
ejpam-6144	530	26	emerges	emerge	VERB
ejpam-6144	530	27	as	as	ADP
ejpam-6144	530	28	the	the	DET
ejpam-6144	530	29	best	good	ADJ
ejpam-6144	530	30	model	model	NOUN
ejpam-6144	530	31	among	among	ADP
ejpam-6144	530	32	all	all	DET
ejpam-6144	530	33	the	the	DET
ejpam-6144	530	34	tested	test	VERB
ejpam-6144	530	35	models	model	NOUN
ejpam-6144	530	36	.	.	PUNCT
ejpam-6144	531	1	figure	figure	VERB
ejpam-6144	531	2	11	11	NUM
ejpam-6144	531	3	further	far	ADV
ejpam-6144	531	4	supports	support	VERB
ejpam-6144	531	5	the	the	DET
ejpam-6144	531	6	results	result	NOUN
ejpam-6144	531	7	presented	present	VERB
ejpam-6144	531	8	in	in	ADP
ejpam-6144	531	9	table	table	NOUN
ejpam-6144	531	10	7	7	NUM
ejpam-6144	531	11	.	.	PUNCT
ejpam-6144	532	1	it	it	PRON
ejpam-6144	532	2	is	be	AUX
ejpam-6144	532	3	clear	clear	ADJ
ejpam-6144	532	4	that	that	SCONJ
ejpam-6144	532	5	the	the	DET
ejpam-6144	532	6	dataset	dataset	NOUN
ejpam-6144	532	7	likely	likely	ADJ
ejpam-6144	532	8	originates	originate	NOUN
ejpam-6144	532	9	from	from	ADP
ejpam-6144	532	10	the	the	DET
ejpam-6144	532	11	dgzhlo	dgzhlo	PROPN
ejpam-6144	532	12	model	model	NOUN
ejpam-6144	532	13	.	.	PUNCT
ejpam-6144	532	14	0	0	NUM
ejpam-6144	532	15	10	10	NUM
ejpam-6144	532	16	20	20	NUM
ejpam-6144	532	17	30	30	NUM
ejpam-6144	532	18	40	40	NUM
ejpam-6144	532	19	50	50	NUM
ejpam-6144	532	20	60	60	NUM
ejpam-6144	532	21	0	0	NUM
ejpam-6144	532	22	.0	.0	NUM
ejpam-6144	532	23	2	2	NUM
ejpam-6144	532	24	0	0	NUM
ejpam-6144	532	25	.0	.0	NUM
ejpam-6144	532	26	4	4	NUM
ejpam-6144	532	27	0	0	NUM
ejpam-6144	532	28	.0	.0	NUM
ejpam-6144	532	29	6	6	NUM
ejpam-6144	532	30	0	0	NUM
ejpam-6144	532	31	.0	.0	NUM
ejpam-6144	532	32	8	8	NUM
ejpam-6144	532	33	hrf	hrf	PROPN
ejpam-6144	532	34	plot	plot	NOUN
ejpam-6144	533	1	z	z	NOUN
ejpam-6144	533	2	h	h	NOUN
ejpam-6144	534	1	r	r	NOUN
ejpam-6144	534	2	f	f	PROPN
ejpam-6144	534	3	0.0	0.0	NUM
ejpam-6144	534	4	0.2	0.2	NUM
ejpam-6144	534	5	0.4	0.4	NUM
ejpam-6144	534	6	0.6	0.6	NUM
ejpam-6144	534	7	0.8	0.8	NUM
ejpam-6144	534	8	1.0	1.0	NUM
ejpam-6144	534	9	0	0	NUM
ejpam-6144	534	10	.0	.0	NUM
ejpam-6144	534	11	0	0	NUM
ejpam-6144	535	1	.2	.2	NUM
ejpam-6144	535	2	0	0	NUM
ejpam-6144	536	1	.4	.4	NUM
ejpam-6144	536	2	0	0	NUM
ejpam-6144	537	1	.6	.6	NUM
ejpam-6144	537	2	0	0	NUM
ejpam-6144	537	3	.8	.8	NUM
ejpam-6144	537	4	1	1	NUM
ejpam-6144	537	5	.0	.0	NUM
ejpam-6144	537	6	pp	pp	ADJ
ejpam-6144	537	7	plot	plot	NOUN
ejpam-6144	537	8	obs	obs	PROPN
ejpam-6144	537	9	e	e	NOUN
ejpam-6144	537	10	x	x	PROPN
ejpam-6144	538	1	p	p	X
ejpam-6144	538	2	0	0	NUM
ejpam-6144	538	3	10	10	NUM
ejpam-6144	538	4	20	20	NUM
ejpam-6144	538	5	30	30	NUM
ejpam-6144	538	6	40	40	NUM
ejpam-6144	538	7	50	50	NUM
ejpam-6144	538	8	60	60	NUM
ejpam-6144	538	9	0	0	NUM
ejpam-6144	538	10	.0	.0	NUM
ejpam-6144	538	11	0	0	NUM
ejpam-6144	539	1	.2	.2	NUM
ejpam-6144	539	2	0	0	NUM
ejpam-6144	540	1	.4	.4	NUM
ejpam-6144	540	2	0	0	NUM
ejpam-6144	541	1	.6	.6	NUM
ejpam-6144	541	2	0	0	NUM
ejpam-6144	541	3	.8	.8	NUM
ejpam-6144	541	4	1	1	NUM
ejpam-6144	541	5	.0	.0	NUM
ejpam-6144	541	6	z	z	NOUN
ejpam-6144	541	7	f	f	X
ejpam-6144	541	8	(	(	PUNCT
ejpam-6144	541	9	z	z	NOUN
ejpam-6144	541	10	)	)	PUNCT
ejpam-6144	541	11	0	0	NUM
ejpam-6144	542	1	10	10	NUM
ejpam-6144	542	2	20	20	NUM
ejpam-6144	542	3	30	30	NUM
ejpam-6144	542	4	40	40	NUM
ejpam-6144	542	5	50	50	NUM
ejpam-6144	542	6	60	60	NUM
ejpam-6144	542	7	0	0	NUM
ejpam-6144	542	8	.0	.0	NUM
ejpam-6144	542	9	0	0	NUM
ejpam-6144	543	1	.2	.2	NUM
ejpam-6144	543	2	0	0	NUM
ejpam-6144	544	1	.4	.4	NUM
ejpam-6144	544	2	0	0	NUM
ejpam-6144	545	1	.6	.6	NUM
ejpam-6144	545	2	0	0	NUM
ejpam-6144	545	3	.8	.8	NUM
ejpam-6144	545	4	1	1	NUM
ejpam-6144	545	5	.0	.0	NUM
ejpam-6144	545	6	empirical	empirical	ADJ
ejpam-6144	545	7	cdf	cdf	PROPN
ejpam-6144	545	8	f	f	PROPN
ejpam-6144	545	9	(	(	PUNCT
ejpam-6144	545	10	z	z	NOUN
ejpam-6144	545	11	)	)	PUNCT
ejpam-6144	545	12	figure	figure	NOUN
ejpam-6144	545	13	11	11	NUM
ejpam-6144	545	14	:	:	PUNCT
ejpam-6144	545	15	the	the	DET
ejpam-6144	545	16	hrf	hrf	PROPN
ejpam-6144	545	17	,	,	PUNCT
ejpam-6144	545	18	p	p	PROPN
ejpam-6144	545	19	-	-	PUNCT
ejpam-6144	545	20	p	p	NOUN
ejpam-6144	545	21	plot	plot	NOUN
ejpam-6144	545	22	,	,	PUNCT
ejpam-6144	545	23	estimated	estimate	VERB
ejpam-6144	545	24	cdfs	cdfs	PROPN
ejpam-6144	545	25	for	for	ADP
ejpam-6144	545	26	dataset	dataset	NOUN
ejpam-6144	545	27	iii	iii	PROPN
ejpam-6144	545	28	.	.	PROPN
ejpam-6144	546	1	7	7	X
ejpam-6144	546	2	.	.	X
ejpam-6144	546	3	concluding	conclude	VERB
ejpam-6144	546	4	remarks	remark	NOUN
ejpam-6144	546	5	and	and	CCONJ
ejpam-6144	546	6	future	future	ADJ
ejpam-6144	546	7	work	work	NOUN
ejpam-6144	546	8	this	this	DET
ejpam-6144	546	9	article	article	NOUN
ejpam-6144	546	10	proposes	propose	VERB
ejpam-6144	546	11	a	a	DET
ejpam-6144	546	12	new	new	ADJ
ejpam-6144	546	13	discrete	discrete	ADJ
ejpam-6144	546	14	model	model	NOUN
ejpam-6144	546	15	,	,	PUNCT
ejpam-6144	546	16	the	the	DET
ejpam-6144	546	17	dgzhlo	dgzhlo	NOUN
ejpam-6144	546	18	,	,	PUNCT
ejpam-6144	546	19	and	and	CCONJ
ejpam-6144	546	20	examines	examine	VERB
ejpam-6144	546	21	its	its	PRON
ejpam-6144	546	22	statistical	statistical	ADJ
ejpam-6144	546	23	properties	property	NOUN
ejpam-6144	546	24	.	.	PUNCT
ejpam-6144	547	1	the	the	DET
ejpam-6144	547	2	dgzhlo	dgzhlo	PROPN
ejpam-6144	547	3	model	model	NOUN
ejpam-6144	547	4	is	be	AUX
ejpam-6144	547	5	found	find	VERB
ejpam-6144	547	6	to	to	PART
ejpam-6144	547	7	offer	offer	VERB
ejpam-6144	547	8	flexibility	flexibility	NOUN
ejpam-6144	547	9	in	in	ADP
ejpam-6144	547	10	modeling	model	VERB
ejpam-6144	547	11	data	datum	NOUN
ejpam-6144	547	12	with	with	ADP
ejpam-6144	547	13	various	various	ADJ
ejpam-6144	547	14	skewness	skewness	NOUN
ejpam-6144	547	15	types	type	NOUN
ejpam-6144	547	16	,	,	PUNCT
ejpam-6144	547	17	including	include	VERB
ejpam-6144	547	18	negative	negative	ADJ
ejpam-6144	547	19	,	,	PUNCT
ejpam-6144	547	20	positive	positive	ADJ
ejpam-6144	547	21	,	,	PUNCT
ejpam-6144	547	22	and	and	CCONJ
ejpam-6144	547	23	symmetric	symmetric	ADJ
ejpam-6144	547	24	shapes	shape	NOUN
ejpam-6144	547	25	.	.	PUNCT
ejpam-6144	548	1	this	this	DET
ejpam-6144	548	2	versatility	versatility	NOUN
ejpam-6144	548	3	makes	make	VERB
ejpam-6144	548	4	it	it	PRON
ejpam-6144	548	5	particularly	particularly	ADV
ejpam-6144	548	6	useful	useful	ADJ
ejpam-6144	548	7	for	for	ADP
ejpam-6144	548	8	modeling	model	VERB
ejpam-6144	548	9	sustainability	sustainability	NOUN
ejpam-6144	548	10	dispersion	dispersion	NOUN
ejpam-6144	548	11	data	datum	NOUN
ejpam-6144	548	12	,	,	PUNCT
ejpam-6144	548	13	where	where	SCONJ
ejpam-6144	548	14	variability	variability	NOUN
ejpam-6144	548	15	often	often	ADV
ejpam-6144	548	16	follows	follow	VERB
ejpam-6144	548	17	diverse	diverse	ADJ
ejpam-6144	548	18	patterns	pattern	NOUN
ejpam-6144	548	19	.	.	PUNCT
ejpam-6144	549	1	the	the	DET
ejpam-6144	549	2	dgzhlo	dgzhlo	PROPN
ejpam-6144	549	3	model	model	NOUN
ejpam-6144	549	4	accommodates	accommodate	VERB
ejpam-6144	549	5	increasing	increase	VERB
ejpam-6144	549	6	hazard	hazard	NOUN
ejpam-6144	549	7	rate	rate	NOUN
ejpam-6144	549	8	functions	function	NOUN
ejpam-6144	549	9	,	,	PUNCT
ejpam-6144	549	10	making	make	VERB
ejpam-6144	549	11	it	it	PRON
ejpam-6144	549	12	highly	highly	ADV
ejpam-6144	549	13	applicable	applicable	ADJ
ejpam-6144	549	14	for	for	ADP
ejpam-6144	549	15	both	both	PRON
ejpam-6144	549	16	engineering	engineering	NOUN
ejpam-6144	549	17	and	and	CCONJ
ejpam-6144	549	18	medical	medical	ADJ
ejpam-6144	549	19	applications	application	NOUN
ejpam-6144	549	20	,	,	PUNCT
ejpam-6144	549	21	where	where	SCONJ
ejpam-6144	549	22	such	such	ADJ
ejpam-6144	549	23	rate	rate	NOUN
ejpam-6144	549	24	functions	function	NOUN
ejpam-6144	549	25	are	be	AUX
ejpam-6144	549	26	crucial	crucial	ADJ
ejpam-6144	549	27	for	for	ADP
ejpam-6144	549	28	reliability	reliability	NOUN
ejpam-6144	549	29	analysis	analysis	NOUN
ejpam-6144	549	30	and	and	CCONJ
ejpam-6144	549	31	predicting	predict	VERB
ejpam-6144	549	32	system	system	NOUN
ejpam-6144	549	33	failures	failure	NOUN
ejpam-6144	549	34	.	.	PUNCT
ejpam-6144	550	1	additionally	additionally	ADV
ejpam-6144	550	2	,	,	PUNCT
ejpam-6144	550	3	the	the	DET
ejpam-6144	550	4	model	model	NOUN
ejpam-6144	550	5	can	can	AUX
ejpam-6144	550	6	handle	handle	VERB
ejpam-6144	550	7	over	over	ADP
ejpam-6144	550	8	-	-	PUNCT
ejpam-6144	550	9	dispersion	dispersion	NOUN
ejpam-6144	550	10	,	,	PUNCT
ejpam-6144	550	11	equi	equi	NOUN
ejpam-6144	550	12	-	-	PUNCT
ejpam-6144	550	13	dispersion	dispersion	NOUN
ejpam-6144	550	14	,	,	PUNCT
ejpam-6144	550	15	and	and	CCONJ
ejpam-6144	550	16	under	under	NOUN
ejpam-6144	550	17	-	-	PUNCT
ejpam-6144	550	18	dispersion	dispersion	NOUN
ejpam-6144	550	19	,	,	PUNCT
ejpam-6144	550	20	accurately	accurately	ADV
ejpam-6144	550	21	capturing	capture	VERB
ejpam-6144	550	22	a	a	DET
ejpam-6144	550	23	wide	wide	ADJ
ejpam-6144	550	24	range	range	NOUN
ejpam-6144	550	25	of	of	ADP
ejpam-6144	550	26	data	datum	NOUN
ejpam-6144	550	27	variability	variability	NOUN
ejpam-6144	550	28	often	often	ADV
ejpam-6144	550	29	observed	observe	VERB
ejpam-6144	550	30	in	in	ADP
ejpam-6144	550	31	real	real	ADJ
ejpam-6144	550	32	-	-	PUNCT
ejpam-6144	550	33	world	world	NOUN
ejpam-6144	550	34	applications	application	NOUN
ejpam-6144	550	35	.	.	PUNCT
ejpam-6144	551	1	another	another	DET
ejpam-6144	551	2	key	key	ADJ
ejpam-6144	551	3	feature	feature	NOUN
ejpam-6144	551	4	of	of	ADP
ejpam-6144	551	5	the	the	DET
ejpam-6144	551	6	dgzhlo	dgzhlo	PROPN
ejpam-6144	551	7	model	model	NOUN
ejpam-6144	551	8	is	be	AUX
ejpam-6144	551	9	its	its	PRON
ejpam-6144	551	10	ability	ability	NOUN
ejpam-6144	551	11	to	to	PART
ejpam-6144	551	12	account	account	VERB
ejpam-6144	551	13	for	for	ADP
ejpam-6144	551	14	different	different	ADJ
ejpam-6144	551	15	levels	level	NOUN
ejpam-6144	551	16	of	of	ADP
ejpam-6144	551	17	kurtosis	kurtosis	NOUN
ejpam-6144	551	18	,	,	PUNCT
ejpam-6144	551	19	including	include	VERB
ejpam-6144	551	20	leptokurtic	leptokurtic	ADJ
ejpam-6144	551	21	and	and	CCONJ
ejpam-6144	551	22	platykurtic	platykurtic	ADJ
ejpam-6144	551	23	distributions	distribution	NOUN
ejpam-6144	551	24	.	.	PUNCT
ejpam-6144	552	1	this	this	DET
ejpam-6144	552	2	ability	ability	NOUN
ejpam-6144	552	3	makes	make	VERB
ejpam-6144	552	4	it	it	PRON
ejpam-6144	552	5	useful	useful	ADJ
ejpam-6144	552	6	in	in	ADP
ejpam-6144	552	7	handling	handle	VERB
ejpam-6144	552	8	data	datum	NOUN
ejpam-6144	552	9	with	with	ADP
ejpam-6144	552	10	varying	vary	VERB
ejpam-6144	552	11	tail	tail	NOUN
ejpam-6144	552	12	behaviors	behavior	NOUN
ejpam-6144	552	13	,	,	PUNCT
ejpam-6144	552	14	often	often	ADV
ejpam-6144	552	15	encountered	encounter	VERB
ejpam-6144	552	16	in	in	ADP
ejpam-6144	552	17	sustainability	sustainability	NOUN
ejpam-6144	552	18	studies	study	NOUN
ejpam-6144	552	19	.	.	PUNCT
ejpam-6144	553	1	furthermore	furthermore	ADV
ejpam-6144	553	2	,	,	PUNCT
ejpam-6144	553	3	the	the	DET
ejpam-6144	553	4	model	model	NOUN
ejpam-6144	553	5	effectively	effectively	ADV
ejpam-6144	553	6	handles	handle	VERB
ejpam-6144	553	7	zero	zero	NUM
ejpam-6144	553	8	-	-	PUNCT
ejpam-6144	553	9	inflation	inflation	NOUN
ejpam-6144	553	10	and	and	CCONJ
ejpam-6144	553	11	non	non	ADJ
ejpam-6144	553	12	-	-	ADJ
ejpam-6144	553	13	inflation	inflation	ADJ
ejpam-6144	553	14	data	datum	NOUN
ejpam-6144	553	15	,	,	PUNCT
ejpam-6144	553	16	particularly	particularly	ADV
ejpam-6144	553	17	in	in	ADP
ejpam-6144	553	18	the	the	DET
ejpam-6144	553	19	presence	presence	NOUN
ejpam-6144	553	20	of	of	ADP
ejpam-6144	553	21	extreme	extreme	ADJ
ejpam-6144	553	22	observations	observation	NOUN
ejpam-6144	553	23	,	,	PUNCT
ejpam-6144	553	24	a	a	DET
ejpam-6144	553	25	common	common	ADJ
ejpam-6144	553	26	challenge	challenge	NOUN
ejpam-6144	553	27	in	in	ADP
ejpam-6144	553	28	many	many	ADJ
ejpam-6144	553	29	fields	field	NOUN
ejpam-6144	553	30	,	,	PUNCT
ejpam-6144	553	31	including	include	VERB
ejpam-6144	553	32	environmental	environmental	ADJ
ejpam-6144	553	33	studies	study	NOUN
ejpam-6144	553	34	and	and	CCONJ
ejpam-6144	553	35	economics	economic	NOUN
ejpam-6144	553	36	.	.	PUNCT
ejpam-6144	554	1	the	the	DET
ejpam-6144	554	2	parameters	parameter	NOUN
ejpam-6144	554	3	of	of	ADP
ejpam-6144	554	4	the	the	DET
ejpam-6144	554	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	554	6	model	model	NOUN
ejpam-6144	554	7	were	be	AUX
ejpam-6144	554	8	estimated	estimate	VERB
ejpam-6144	554	9	using	use	VERB
ejpam-6144	554	10	the	the	DET
ejpam-6144	554	11	mle	mle	PROPN
ejpam-6144	554	12	method	method	NOUN
ejpam-6144	554	13	.	.	PUNCT
ejpam-6144	555	1	a	a	DET
ejpam-6144	555	2	simulation	simulation	NOUN
ejpam-6144	555	3	study	study	NOUN
ejpam-6144	555	4	was	be	AUX
ejpam-6144	555	5	carried	carry	VERB
ejpam-6144	555	6	out	out	ADP
ejpam-6144	555	7	to	to	PART
ejpam-6144	555	8	evaluate	evaluate	VERB
ejpam-6144	555	9	the	the	DET
ejpam-6144	555	10	model	model	NOUN
ejpam-6144	555	11	’s	’s	PART
ejpam-6144	555	12	performance	performance	NOUN
ejpam-6144	555	13	,	,	PUNCT
ejpam-6144	555	14	and	and	CCONJ
ejpam-6144	555	15	the	the	DET
ejpam-6144	555	16	results	result	NOUN
ejpam-6144	555	17	demonstrated	demonstrate	VERB
ejpam-6144	555	18	that	that	SCONJ
ejpam-6144	555	19	the	the	DET
ejpam-6144	555	20	mle	mle	PROPN
ejpam-6144	555	21	method	method	NOUN
ejpam-6144	555	22	effectively	effectively	ADV
ejpam-6144	555	23	estimated	estimate	VERB
ejpam-6144	555	24	the	the	DET
ejpam-6144	555	25	model	model	NOUN
ejpam-6144	555	26	parameters	parameter	NOUN
ejpam-6144	555	27	with	with	ADP
ejpam-6144	555	28	high	high	ADJ
ejpam-6144	555	29	accuracy	accuracy	NOUN
ejpam-6144	555	30	.	.	PUNCT
ejpam-6144	556	1	the	the	DET
ejpam-6144	556	2	flexibility	flexibility	NOUN
ejpam-6144	556	3	of	of	ADP
ejpam-6144	556	4	the	the	DET
ejpam-6144	556	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	556	6	model	model	NOUN
ejpam-6144	556	7	was	be	AUX
ejpam-6144	556	8	further	far	ADV
ejpam-6144	556	9	showcased	showcase	VERB
ejpam-6144	556	10	through	through	ADP
ejpam-6144	556	11	the	the	DET
ejpam-6144	556	12	analysis	analysis	NOUN
ejpam-6144	556	13	of	of	ADP
ejpam-6144	556	14	three	three	NUM
ejpam-6144	556	15	distinct	distinct	ADJ
ejpam-6144	556	16	datasets	dataset	NOUN
ejpam-6144	556	17	,	,	PUNCT
ejpam-6144	556	18	where	where	SCONJ
ejpam-6144	556	19	it	it	PRON
ejpam-6144	556	20	outperformed	outperform	VERB
ejpam-6144	556	21	other	other	ADJ
ejpam-6144	556	22	models	model	NOUN
ejpam-6144	556	23	in	in	ADP
ejpam-6144	556	24	terms	term	NOUN
ejpam-6144	556	25	of	of	ADP
ejpam-6144	556	26	both	both	CCONJ
ejpam-6144	556	27	fit	fit	ADJ
ejpam-6144	556	28	and	and	CCONJ
ejpam-6144	556	29	predictive	predictive	ADJ
ejpam-6144	556	30	accuracy	accuracy	NOUN
ejpam-6144	556	31	.	.	PUNCT
ejpam-6144	557	1	this	this	PRON
ejpam-6144	557	2	confirmed	confirm	VERB
ejpam-6144	557	3	its	its	PRON
ejpam-6144	557	4	potential	potential	NOUN
ejpam-6144	557	5	as	as	ADP
ejpam-6144	557	6	a	a	DET
ejpam-6144	557	7	reliable	reliable	ADJ
ejpam-6144	557	8	tool	tool	NOUN
ejpam-6144	557	9	for	for	ADP
ejpam-6144	557	10	analyzing	analyze	VERB
ejpam-6144	557	11	complex	complex	ADJ
ejpam-6144	557	12	sustainability	sustainability	NOUN
ejpam-6144	557	13	dispersion	dispersion	NOUN
ejpam-6144	557	14	data	datum	NOUN
ejpam-6144	557	15	.	.	PUNCT
ejpam-6144	558	1	looking	look	VERB
ejpam-6144	558	2	ahead	ahead	ADV
ejpam-6144	558	3	,	,	PUNCT
ejpam-6144	558	4	future	future	ADJ
ejpam-6144	558	5	research	research	NOUN
ejpam-6144	558	6	will	will	AUX
ejpam-6144	558	7	focus	focus	VERB
ejpam-6144	558	8	on	on	ADP
ejpam-6144	558	9	extending	extend	VERB
ejpam-6144	558	10	the	the	DET
ejpam-6144	558	11	dgzhlo	dgzhlo	PROPN
ejpam-6144	558	12	model	model	NOUN
ejpam-6144	558	13	to	to	PART
ejpam-6144	558	14	include	include	VERB
ejpam-6144	558	15	time	time	NOUN
ejpam-6144	558	16	-	-	PUNCT
ejpam-6144	558	17	varying	vary	VERB
ejpam-6144	558	18	parameters	parameter	NOUN
ejpam-6144	558	19	and	and	CCONJ
ejpam-6144	558	20	exploring	explore	VERB
ejpam-6144	558	21	its	its	PRON
ejpam-6144	558	22	application	application	NOUN
ejpam-6144	558	23	in	in	ADP
ejpam-6144	558	24	additional	additional	ADJ
ejpam-6144	558	25	fields	field	NOUN
ejpam-6144	558	26	such	such	ADJ
ejpam-6144	558	27	as	as	ADP
ejpam-6144	558	28	environmental	environmental	ADJ
ejpam-6144	558	29	monitoring	monitoring	NOUN
ejpam-6144	558	30	,	,	PUNCT
ejpam-6144	558	31	climate	climate	NOUN
ejpam-6144	558	32	change	change	NOUN
ejpam-6144	558	33	studies	study	NOUN
ejpam-6144	558	34	,	,	PUNCT
ejpam-6144	558	35	and	and	CCONJ
ejpam-6144	558	36	economics	economic	NOUN
ejpam-6144	558	37	.	.	PUNCT
ejpam-6144	559	1	further	further	ADJ
ejpam-6144	559	2	refinements	refinement	NOUN
ejpam-6144	559	3	to	to	ADP
ejpam-6144	559	4	estimation	estimation	NOUN
ejpam-6144	559	5	techniques	technique	NOUN
ejpam-6144	559	6	,	,	PUNCT
ejpam-6144	559	7	particularly	particularly	ADV
ejpam-6144	559	8	through	through	ADP
ejpam-6144	559	9	the	the	DET
ejpam-6144	559	10	use	use	NOUN
ejpam-6144	559	11	of	of	ADP
ejpam-6144	559	12	bayesian	bayesian	NOUN
ejpam-6144	559	13	methods	method	NOUN
ejpam-6144	559	14	,	,	PUNCT
ejpam-6144	559	15	will	will	AUX
ejpam-6144	559	16	aim	aim	VERB
ejpam-6144	559	17	to	to	PART
ejpam-6144	559	18	improve	improve	VERB
ejpam-6144	559	19	the	the	DET
ejpam-6144	559	20	model	model	NOUN
ejpam-6144	559	21	’s	’s	PART
ejpam-6144	559	22	robustness	robustness	NOUN
ejpam-6144	559	23	and	and	CCONJ
ejpam-6144	559	24	comm	comm	NOUN
ejpam-6144	559	25	.	.	PUNCT
ejpam-6144	560	1	s.	s.	PROPN
ejpam-6144	560	2	eliwa	eliwa	PROPN
ejpam-6144	560	3	,	,	PUNCT
ejpam-6144	560	4	w.	w.	PROPN
ejpam-6144	560	5	e.	e.	PROPN
ejpam-6144	560	6	alghanem	alghanem	PROPN
ejpam-6144	560	7	,	,	PUNCT
ejpam-6144	560	8	m.	m.	NOUN
ejpam-6144	560	9	a.	a.	NOUN
ejpam-6144	560	10	alenizi	alenizi	PROPN
ejpam-6144	560	11	/	/	SYM
ejpam-6144	560	12	eur	eur	PROPN
ejpam-6144	560	13	.	.	PUNCT
ejpam-6144	561	1	j.	j.	PROPN
ejpam-6144	561	2	pure	pure	PROPN
ejpam-6144	561	3	appl	appl	PROPN
ejpam-6144	561	4	.	.	PROPN
ejpam-6144	561	5	math	math	PROPN
ejpam-6144	561	6	,	,	PUNCT
ejpam-6144	561	7	18	18	NUM
ejpam-6144	561	8	(	(	PUNCT
ejpam-6144	561	9	2	2	NUM
ejpam-6144	561	10	)	)	PUNCT
ejpam-6144	561	11	(	(	PUNCT
ejpam-6144	561	12	2025	2025	NUM
ejpam-6144	561	13	)	)	PUNCT
ejpam-6144	561	14	,	,	PUNCT
ejpam-6144	561	15	6144	6144	NUM
ejpam-6144	561	16	24	24	NUM
ejpam-6144	561	17	of	of	ADP
ejpam-6144	561	18	26	26	NUM
ejpam-6144	561	19	putational	putational	ADJ
ejpam-6144	561	20	efficiency	efficiency	NOUN
ejpam-6144	561	21	.	.	PUNCT
ejpam-6144	562	1	additionally	additionally	ADV
ejpam-6144	562	2	,	,	PUNCT
ejpam-6144	562	3	integrating	integrate	VERB
ejpam-6144	562	4	the	the	DET
ejpam-6144	562	5	dgzhlo	dgzhlo	PROPN
ejpam-6144	562	6	model	model	NOUN
ejpam-6144	562	7	with	with	ADP
ejpam-6144	562	8	machine	machine	NOUN
ejpam-6144	562	9	learning	learning	NOUN
ejpam-6144	562	10	approaches	approach	NOUN
ejpam-6144	562	11	will	will	AUX
ejpam-6144	562	12	be	be	AUX
ejpam-6144	562	13	explored	explore	VERB
ejpam-6144	562	14	to	to	PART
ejpam-6144	562	15	enable	enable	VERB
ejpam-6144	562	16	real	real	ADJ
ejpam-6144	562	17	-	-	PUNCT
ejpam-6144	562	18	time	time	NOUN
ejpam-6144	562	19	predictive	predictive	ADJ
ejpam-6144	562	20	analytics	analytic	NOUN
ejpam-6144	562	21	across	across	ADP
ejpam-6144	562	22	various	various	ADJ
ejpam-6144	562	23	industries	industry	NOUN
ejpam-6144	562	24	,	,	PUNCT
ejpam-6144	562	25	further	far	ADV
ejpam-6144	562	26	enhancing	enhance	VERB
ejpam-6144	562	27	its	its	PRON
ejpam-6144	562	28	applicability	applicability	NOUN
ejpam-6144	562	29	and	and	CCONJ
ejpam-6144	562	30	utility	utility	NOUN
ejpam-6144	562	31	in	in	ADP
ejpam-6144	562	32	complex	complex	ADJ
ejpam-6144	562	33	data	datum	NOUN
ejpam-6144	562	34	analysis	analysis	NOUN
ejpam-6144	562	35	.	.	PUNCT
ejpam-6144	563	1	acknowledgements	acknowledgement	NOUN
ejpam-6144	563	2	the	the	DET
ejpam-6144	563	3	authors	author	NOUN
ejpam-6144	563	4	gratefully	gratefully	ADV
ejpam-6144	563	5	acknowledge	acknowledge	VERB
ejpam-6144	563	6	qassim	qassim	PROPN
ejpam-6144	563	7	university	university	PROPN
ejpam-6144	563	8	,	,	PUNCT
ejpam-6144	563	9	represented	represent	VERB
ejpam-6144	563	10	by	by	ADP
ejpam-6144	563	11	the	the	DET
ejpam-6144	563	12	deanship	deanship	NOUN
ejpam-6144	563	13	of	of	ADP
ejpam-6144	563	14	graduate	graduate	NOUN
ejpam-6144	563	15	studies	study	NOUN
ejpam-6144	563	16	and	and	CCONJ
ejpam-6144	563	17	scientific	scientific	ADJ
ejpam-6144	563	18	research	research	NOUN
ejpam-6144	563	19	,	,	PUNCT
ejpam-6144	563	20	on	on	ADP
ejpam-6144	563	21	the	the	DET
ejpam-6144	563	22	financial	financial	ADJ
ejpam-6144	563	23	support	support	NOUN
ejpam-6144	563	24	for	for	ADP
ejpam-6144	563	25	this	this	DET
ejpam-6144	563	26	research	research	NOUN
ejpam-6144	563	27	under	under	ADP
ejpam-6144	563	28	the	the	DET
ejpam-6144	563	29	number	number	NOUN
ejpam-6144	563	30	(	(	PUNCT
ejpam-6144	563	31	qu	qu	PROPN
ejpam-6144	563	32	-	-	PROPN
ejpam-6144	563	33	j	j	NOUN
ejpam-6144	563	34	-	-	PUNCT
ejpam-6144	563	35	ug-2	ug-2	NOUN
ejpam-6144	563	36	-	-	PUNCT
ejpam-6144	563	37	2025	2025	NUM
ejpam-6144	563	38	-	-	SYM
ejpam-6144	563	39	52613	52613	NUM
ejpam-6144	563	40	)	)	PUNCT
ejpam-6144	563	41	during	during	ADP
ejpam-6144	563	42	the	the	DET
ejpam-6144	563	43	academic	academic	ADJ
ejpam-6144	563	44	year	year	NOUN
ejpam-6144	563	45	1446	1446	NUM
ejpam-6144	563	46	ah	ah	INTJ
ejpam-6144	563	47	/	/	SYM
ejpam-6144	563	48	2024	2024	NUM
ejpam-6144	563	49	ad	ad	NOUN
ejpam-6144	563	50	.	.	PUNCT
ejpam-6144	564	1	•	•	NOUN
ejpam-6144	564	2	data	datum	NOUN
ejpam-6144	564	3	availability	availability	NOUN
ejpam-6144	564	4	statement	statement	NOUN
ejpam-6144	564	5	:	:	PUNCT
ejpam-6144	564	6	the	the	DET
ejpam-6144	564	7	data	data	NOUN
ejpam-6144	564	8	sets	set	NOUN
ejpam-6144	564	9	are	be	AUX
ejpam-6144	564	10	available	available	ADJ
ejpam-6144	564	11	in	in	ADP
ejpam-6144	564	12	the	the	DET
ejpam-6144	564	13	paper	paper	NOUN
ejpam-6144	564	14	.	.	PUNCT
ejpam-6144	565	1	•	•	NOUN
ejpam-6144	565	2	conflicts	conflict	NOUN
ejpam-6144	565	3	of	of	ADP
ejpam-6144	565	4	interest	interest	NOUN
ejpam-6144	565	5	:	:	PUNCT
ejpam-6144	565	6	the	the	DET
ejpam-6144	565	7	authors	author	NOUN
ejpam-6144	565	8	declare	declare	VERB
ejpam-6144	565	9	no	no	DET
ejpam-6144	565	10	conflict	conflict	NOUN
ejpam-6144	565	11	of	of	ADP
ejpam-6144	565	12	interests	interest	NOUN
ejpam-6144	565	13	.	.	PUNCT
ejpam-6144	566	1	references	reference	NOUN
ejpam-6144	566	2	[	[	X
ejpam-6144	566	3	1	1	NUM
ejpam-6144	566	4	]	]	PUNCT
ejpam-6144	566	5	a.	a.	NOUN
ejpam-6144	566	6	alzaatreh	alzaatreh	PROPN
ejpam-6144	566	7	,	,	PUNCT
ejpam-6144	566	8	c.	c.	PROPN
ejpam-6144	566	9	lee	lee	PROPN
ejpam-6144	566	10	,	,	PUNCT
ejpam-6144	566	11	and	and	CCONJ
ejpam-6144	566	12	f.	f.	PROPN
ejpam-6144	566	13	famoye	famoye	PROPN
ejpam-6144	566	14	.	.	PUNCT
ejpam-6144	567	1	a	a	DET
ejpam-6144	567	2	new	new	ADJ
ejpam-6144	567	3	method	method	NOUN
ejpam-6144	567	4	for	for	ADP
ejpam-6144	567	5	generating	generate	VERB
ejpam-6144	567	6	families	family	NOUN
ejpam-6144	567	7	of	of	ADP
ejpam-6144	567	8	continuous	continuous	ADJ
ejpam-6144	567	9	distributions	distribution	NOUN
ejpam-6144	567	10	.	.	PUNCT
ejpam-6144	568	1	metron	metron	PROPN
ejpam-6144	568	2	,	,	PUNCT
ejpam-6144	568	3	71:63–79	71:63–79	PROPN
ejpam-6144	568	4	,	,	PUNCT
ejpam-6144	568	5	2013	2013	NUM
ejpam-6144	568	6	.	.	PUNCT
ejpam-6144	569	1	[	[	X
ejpam-6144	569	2	2	2	X
ejpam-6144	569	3	]	]	X
ejpam-6144	569	4	d.	d.	PROPN
ejpam-6144	569	5	j.	j.	PROPN
ejpam-6144	569	6	hand	hand	PROPN
ejpam-6144	569	7	,	,	PUNCT
ejpam-6144	569	8	f.	f.	PROPN
ejpam-6144	569	9	daly	daly	PROPN
ejpam-6144	569	10	,	,	PUNCT
ejpam-6144	569	11	k.	k.	PROPN
ejpam-6144	569	12	m.	m.	PROPN
ejpam-6144	569	13	conway	conway	PROPN
ejpam-6144	569	14	,	,	PUNCT
ejpam-6144	569	15	d.	d.	PROPN
ejpam-6144	569	16	lunn	lunn	PROPN
ejpam-6144	569	17	,	,	PUNCT
ejpam-6144	569	18	and	and	CCONJ
ejpam-6144	569	19	e.	e.	PROPN
ejpam-6144	569	20	ostrowski	ostrowski	PROPN
ejpam-6144	569	21	.	.	PUNCT
ejpam-6144	570	1	a	a	DET
ejpam-6144	570	2	handbook	handbook	NOUN
ejpam-6144	570	3	of	of	ADP
ejpam-6144	570	4	small	small	ADJ
ejpam-6144	570	5	data	datum	NOUN
ejpam-6144	570	6	sets	set	NOUN
ejpam-6144	570	7	,	,	PUNCT
ejpam-6144	570	8	chapman	chapman	PROPN
ejpam-6144	570	9	&	&	CCONJ
ejpam-6144	570	10	hall	hall	PROPN
ejpam-6144	570	11	.	.	PUNCT
ejpam-6144	571	1	doi	doi	NOUN
ejpam-6144	571	2	:	:	PUNCT
ejpam-6144	571	3	10.1201/9780429246579	10.1201/9780429246579	NUM
ejpam-6144	571	4	,	,	PUNCT
ejpam-6144	571	5	1993	1993	NUM
ejpam-6144	571	6	.	.	PUNCT
ejpam-6144	572	1	[	[	X
ejpam-6144	572	2	3	3	X
ejpam-6144	572	3	]	]	X
ejpam-6144	572	4	e.	e.	PROPN
ejpam-6144	572	5	abd	abd	PROPN
ejpam-6144	572	6	el	el	PROPN
ejpam-6144	572	7	-	-	PUNCT
ejpam-6144	572	8	hady	hady	ADJ
ejpam-6144	572	9	,	,	PUNCT
ejpam-6144	572	10	m.	m.	NOUN
ejpam-6144	572	11	a.	a.	PROPN
ejpam-6144	572	12	hegazy	hegazy	PROPN
ejpam-6144	572	13	,	,	PUNCT
ejpam-6144	572	14	and	and	CCONJ
ejpam-6144	572	15	a.	a.	NOUN
ejpam-6144	572	16	a.	a.	PROPN
ejpam-6144	572	17	el	el	PROPN
ejpam-6144	572	18	-	-	PUNCT
ejpam-6144	572	19	helbawy	helbawy	PROPN
ejpam-6144	572	20	.	.	PUNCT
ejpam-6144	573	1	discrete	discrete	VERB
ejpam-6144	573	2	exponentiated	exponentiate	VERB
ejpam-6144	573	3	generalized	generalized	ADJ
ejpam-6144	573	4	family	family	NOUN
ejpam-6144	573	5	of	of	ADP
ejpam-6144	573	6	distributions	distribution	NOUN
ejpam-6144	573	7	.	.	PUNCT
ejpam-6144	574	1	computational	computational	ADJ
ejpam-6144	574	2	journal	journal	NOUN
ejpam-6144	574	3	of	of	ADP
ejpam-6144	574	4	mathematical	mathematical	ADJ
ejpam-6144	574	5	and	and	CCONJ
ejpam-6144	574	6	statistical	statistical	ADJ
ejpam-6144	574	7	sciences	science	NOUN
ejpam-6144	574	8	,	,	PUNCT
ejpam-6144	574	9	2:303–327	2:303–327	NUM
ejpam-6144	574	10	,	,	PUNCT
ejpam-6144	574	11	2023	2023	NUM
ejpam-6144	574	12	.	.	PUNCT
ejpam-6144	575	1	[	[	X
ejpam-6144	575	2	4	4	X
ejpam-6144	575	3	]	]	X
ejpam-6144	575	4	e.	e.	PROPN
ejpam-6144	575	5	gómez	gómez	PROPN
ejpam-6144	575	6	-	-	PUNCT
ejpam-6144	575	7	déniz	déniz	NOUN
ejpam-6144	575	8	,	,	PUNCT
ejpam-6144	575	9	and	and	CCONJ
ejpam-6144	575	10	e.	e.	PROPN
ejpam-6144	575	11	caldeŕın	caldeŕın	PROPN
ejpam-6144	575	12	-	-	PUNCT
ejpam-6144	575	13	ojeda	ojeda	PROPN
ejpam-6144	575	14	.	.	PUNCT
ejpam-6144	576	1	the	the	DET
ejpam-6144	576	2	discrete	discrete	ADJ
ejpam-6144	576	3	lindley	lindley	NOUN
ejpam-6144	576	4	distribution	distribution	NOUN
ejpam-6144	576	5	:	:	PUNCT
ejpam-6144	576	6	properties	property	NOUN
ejpam-6144	576	7	and	and	CCONJ
ejpam-6144	576	8	applications	application	NOUN
ejpam-6144	576	9	.	.	PUNCT
ejpam-6144	577	1	journal	journal	NOUN
ejpam-6144	577	2	of	of	ADP
ejpam-6144	577	3	statistical	statistical	ADJ
ejpam-6144	577	4	computation	computation	NOUN
ejpam-6144	577	5	and	and	CCONJ
ejpam-6144	577	6	simulation	simulation	NOUN
ejpam-6144	577	7	,	,	PUNCT
ejpam-6144	577	8	81:1405	81:1405	NUM
ejpam-6144	577	9	–	–	PUNCT
ejpam-6144	577	10	1416	1416	NUM
ejpam-6144	577	11	,	,	PUNCT
ejpam-6144	577	12	2011	2011	NUM
ejpam-6144	577	13	.	.	PUNCT
ejpam-6144	578	1	[	[	X
ejpam-6144	578	2	5	5	X
ejpam-6144	578	3	]	]	X
ejpam-6144	578	4	g.	g.	PROPN
ejpam-6144	578	5	m.	m.	PROPN
ejpam-6144	578	6	cordeiro	cordeiro	PROPN
ejpam-6144	578	7	,	,	PUNCT
ejpam-6144	578	8	m.	m.	NOUN
ejpam-6144	578	9	alizadeh	alizadeh	PROPN
ejpam-6144	578	10	,	,	PUNCT
ejpam-6144	578	11	d.	d.	PROPN
ejpam-6144	578	12	c.	c.	PROPN
ejpam-6144	578	13	abraao	abraao	PROPN
ejpam-6144	578	14	,	,	PUNCT
ejpam-6144	578	15	and	and	CCONJ
ejpam-6144	578	16	r.	r.	PROPN
ejpam-6144	578	17	mahdi	mahdi	PROPN
ejpam-6144	578	18	.	.	PUNCT
ejpam-6144	579	1	the	the	DET
ejpam-6144	579	2	exponentiated	exponentiated	PROPN
ejpam-6144	579	3	gompertz	gompertz	NOUN
ejpam-6144	579	4	generated	generate	VERB
ejpam-6144	579	5	family	family	NOUN
ejpam-6144	579	6	of	of	ADP
ejpam-6144	579	7	distributions	distribution	NOUN
ejpam-6144	579	8	:	:	PUNCT
ejpam-6144	579	9	properties	property	NOUN
ejpam-6144	579	10	and	and	CCONJ
ejpam-6144	579	11	applications	application	NOUN
ejpam-6144	579	12	.	.	PUNCT
ejpam-6144	580	1	chilean	chilean	ADJ
ejpam-6144	580	2	journal	journal	PROPN
ejpam-6144	580	3	of	of	ADP
ejpam-6144	580	4	statistics	statistic	NOUN
ejpam-6144	580	5	,	,	PUNCT
ejpam-6144	580	6	7:29–50	7:29–50	NOUN
ejpam-6144	580	7	,	,	PUNCT
ejpam-6144	580	8	2016	2016	NUM
ejpam-6144	580	9	.	.	PUNCT
ejpam-6144	581	1	[	[	X
ejpam-6144	581	2	6	6	NUM
ejpam-6144	581	3	]	]	X
ejpam-6144	581	4	h.	h.	PROPN
ejpam-6144	581	5	m.	m.	PROPN
ejpam-6144	581	6	yousof	yousof	PROPN
ejpam-6144	581	7	,	,	PUNCT
ejpam-6144	581	8	a.	a.	PROPN
ejpam-6144	581	9	h.	h.	PROPN
ejpam-6144	581	10	al	al	PROPN
ejpam-6144	581	11	-	-	PROPN
ejpam-6144	581	12	nefaie	nefaie	PROPN
ejpam-6144	581	13	,	,	PUNCT
ejpam-6144	581	14	n.	n.	PROPN
ejpam-6144	581	15	s.	s.	PROPN
ejpam-6144	581	16	butt	butt	PROPN
ejpam-6144	581	17	,	,	PUNCT
ejpam-6144	581	18	g.	g.	PROPN
ejpam-6144	581	19	g.	g.	PROPN
ejpam-6144	581	20	hamedani	hamedani	PROPN
ejpam-6144	581	21	,	,	PUNCT
ejpam-6144	581	22	h.	h.	PROPN
ejpam-6144	581	23	alrweili	alrweili	PROPN
ejpam-6144	581	24	,	,	PUNCT
ejpam-6144	581	25	a.	a.	NOUN
ejpam-6144	581	26	aljadani	aljadani	PROPN
ejpam-6144	581	27	,	,	PUNCT
ejpam-6144	581	28	and	and	CCONJ
ejpam-6144	581	29	m.	m.	PROPN
ejpam-6144	581	30	ibrahim	ibrahim	PROPN
ejpam-6144	581	31	.	.	PUNCT
ejpam-6144	582	1	a	a	DET
ejpam-6144	582	2	new	new	ADJ
ejpam-6144	582	3	discrete	discrete	ADJ
ejpam-6144	582	4	generator	generator	NOUN
ejpam-6144	582	5	with	with	ADP
ejpam-6144	582	6	mathematical	mathematical	ADJ
ejpam-6144	582	7	characterization	characterization	NOUN
ejpam-6144	582	8	,	,	PUNCT
ejpam-6144	582	9	properties	property	NOUN
ejpam-6144	582	10	,	,	PUNCT
ejpam-6144	582	11	count	count	VERB
ejpam-6144	582	12	statistical	statistical	ADJ
ejpam-6144	582	13	modeling	modeling	NOUN
ejpam-6144	582	14	and	and	CCONJ
ejpam-6144	582	15	inference	inference	NOUN
ejpam-6144	582	16	with	with	ADP
ejpam-6144	582	17	applications	application	NOUN
ejpam-6144	582	18	to	to	ADP
ejpam-6144	582	19	reliability	reliability	NOUN
ejpam-6144	582	20	,	,	PUNCT
ejpam-6144	582	21	medicine	medicine	NOUN
ejpam-6144	582	22	,	,	PUNCT
ejpam-6144	582	23	agriculture	agriculture	NOUN
ejpam-6144	582	24	,	,	PUNCT
ejpam-6144	582	25	and	and	CCONJ
ejpam-6144	582	26	biology	biology	NOUN
ejpam-6144	582	27	data	datum	NOUN
ejpam-6144	582	28	.	.	PUNCT
ejpam-6144	583	1	pakistan	pakistan	PROPN
ejpam-6144	583	2	journal	journal	PROPN
ejpam-6144	583	3	of	of	ADP
ejpam-6144	583	4	statistics	statistic	NOUN
ejpam-6144	583	5	and	and	CCONJ
ejpam-6144	583	6	operation	operation	NOUN
ejpam-6144	583	7	research	research	NOUN
ejpam-6144	583	8	,	,	PUNCT
ejpam-6144	583	9	745–770	745–770	NUM
ejpam-6144	583	10	,	,	PUNCT
ejpam-6144	583	11	2024	2024	NUM
ejpam-6144	583	12	.	.	PUNCT
ejpam-6144	584	1	[	[	X
ejpam-6144	584	2	7	7	X
ejpam-6144	584	3	]	]	PUNCT
ejpam-6144	584	4	j.	j.	PROPN
ejpam-6144	584	5	f.	f.	PROPN
ejpam-6144	584	6	lawless	lawless	PROPN
ejpam-6144	584	7	.	.	PUNCT
ejpam-6144	585	1	statistical	statistical	ADJ
ejpam-6144	585	2	models	model	NOUN
ejpam-6144	585	3	and	and	CCONJ
ejpam-6144	585	4	methods	method	NOUN
ejpam-6144	585	5	for	for	ADP
ejpam-6144	585	6	lifetime	lifetime	NOUN
ejpam-6144	585	7	data	datum	NOUN
ejpam-6144	585	8	.	.	PUNCT
ejpam-6144	586	1	wiley	wiley	PROPN
ejpam-6144	586	2	,	,	PUNCT
ejpam-6144	586	3	new	new	PROPN
ejpam-6144	586	4	york	york	PROPN
ejpam-6144	586	5	,	,	PUNCT
ejpam-6144	586	6	usa	usa	PROPN
ejpam-6144	586	7	,	,	PUNCT
ejpam-6144	586	8	2003	2003	NUM
ejpam-6144	586	9	.	.	PUNCT
ejpam-6144	587	1	[	[	X
ejpam-6144	587	2	8	8	X
ejpam-6144	587	3	]	]	X
ejpam-6144	587	4	j.	j.	PROPN
ejpam-6144	587	5	mazucheli	mazucheli	PROPN
ejpam-6144	587	6	,	,	PUNCT
ejpam-6144	587	7	a.	a.	PROPN
ejpam-6144	587	8	f.	f.	PROPN
ejpam-6144	587	9	menezes	menezes	PROPN
ejpam-6144	587	10	,	,	PUNCT
ejpam-6144	587	11	and	and	CCONJ
ejpam-6144	587	12	s.	s.	PROPN
ejpam-6144	587	13	dey	dey	PROPN
ejpam-6144	587	14	.	.	PROPN
ejpam-6144	587	15	unit	unit	NOUN
ejpam-6144	587	16	-	-	PUNCT
ejpam-6144	587	17	gompertz	gompertz	NOUN
ejpam-6144	587	18	distribution	distribution	NOUN
ejpam-6144	587	19	with	with	ADP
ejpam-6144	587	20	applications	application	NOUN
ejpam-6144	587	21	.	.	PUNCT
ejpam-6144	588	1	statistica	statistica	PROPN
ejpam-6144	588	2	,	,	PUNCT
ejpam-6144	588	3	79:25–43	79:25–43	PROPN
ejpam-6144	588	4	,	,	PUNCT
ejpam-6144	588	5	2019	2019	NUM
ejpam-6144	588	6	.	.	PUNCT
ejpam-6144	589	1	[	[	X
ejpam-6144	589	2	9	9	X
ejpam-6144	589	3	]	]	PUNCT
ejpam-6144	589	4	j.	j.	PROPN
ejpam-6144	589	5	r.	r.	PROPN
ejpam-6144	589	6	hosking	hosking	PROPN
ejpam-6144	589	7	and	and	CCONJ
ejpam-6144	589	8	j.	j.	PROPN
ejpam-6144	589	9	r.	r.	PROPN
ejpam-6144	589	10	wallis	wallis	PROPN
ejpam-6144	589	11	.	.	PUNCT
ejpam-6144	590	1	regional	regional	ADJ
ejpam-6144	590	2	frequency	frequency	NOUN
ejpam-6144	590	3	analysis	analysis	NOUN
ejpam-6144	590	4	:	:	PUNCT
ejpam-6144	590	5	an	an	DET
ejpam-6144	590	6	approach	approach	NOUN
ejpam-6144	590	7	based	base	VERB
ejpam-6144	590	8	on	on	ADP
ejpam-6144	590	9	l	l	NOUN
ejpam-6144	590	10	-	-	NOUN
ejpam-6144	590	11	moments	moment	NOUN
ejpam-6144	590	12	.	.	PUNCT
ejpam-6144	591	1	cambridge	cambridge	PROPN
ejpam-6144	591	2	university	university	PROPN
ejpam-6144	591	3	press	press	NOUN
ejpam-6144	591	4	,	,	PUNCT
ejpam-6144	591	5	1997	1997	NUM
ejpam-6144	591	6	.	.	PUNCT
ejpam-6144	592	1	[	[	X
ejpam-6144	592	2	10	10	NUM
ejpam-6144	592	3	]	]	PUNCT
ejpam-6144	592	4	j.	j.	PROPN
ejpam-6144	592	5	wang	wang	PROPN
ejpam-6144	592	6	,	,	PUNCT
ejpam-6144	592	7	and	and	CCONJ
ejpam-6144	592	8	x.	x.	NOUN
ejpam-6144	592	9	guo	guo	PROPN
ejpam-6144	592	10	.	.	PUNCT
ejpam-6144	593	1	the	the	DET
ejpam-6144	593	2	gompertz	gompertz	NOUN
ejpam-6144	593	3	model	model	NOUN
ejpam-6144	593	4	and	and	CCONJ
ejpam-6144	593	5	its	its	PRON
ejpam-6144	593	6	applications	application	NOUN
ejpam-6144	593	7	in	in	ADP
ejpam-6144	593	8	microbial	microbial	ADJ
ejpam-6144	593	9	growth	growth	NOUN
ejpam-6144	593	10	and	and	CCONJ
ejpam-6144	593	11	bioproduction	bioproduction	NOUN
ejpam-6144	593	12	kinetics	kinetic	NOUN
ejpam-6144	593	13	:	:	PUNCT
ejpam-6144	593	14	past	past	ADJ
ejpam-6144	593	15	,	,	PUNCT
ejpam-6144	593	16	present	present	ADJ
ejpam-6144	593	17	,	,	PUNCT
ejpam-6144	593	18	and	and	CCONJ
ejpam-6144	593	19	future	future	NOUN
ejpam-6144	593	20	.	.	PUNCT
ejpam-6144	594	1	biotechnology	biotechnology	NOUN
ejpam-6144	594	2	advances	advance	NOUN
ejpam-6144	594	3	,	,	PUNCT
ejpam-6144	594	4	27:17	27:17	NUM
ejpam-6144	594	5	–	–	PUNCT
ejpam-6144	594	6	29	29	NUM
ejpam-6144	594	7	,	,	PUNCT
ejpam-6144	594	8	2024	2024	NUM
ejpam-6144	594	9	.	.	PUNCT
ejpam-6144	595	1	m.	m.	NOUN
ejpam-6144	595	2	s.	s.	PROPN
ejpam-6144	595	3	eliwa	eliwa	PROPN
ejpam-6144	595	4	,	,	PUNCT
ejpam-6144	595	5	w.	w.	PROPN
ejpam-6144	595	6	e.	e.	PROPN
ejpam-6144	595	7	alghanem	alghanem	PROPN
ejpam-6144	595	8	,	,	PUNCT
ejpam-6144	595	9	m.	m.	NOUN
ejpam-6144	595	10	a.	a.	NOUN
ejpam-6144	595	11	alenizi	alenizi	PROPN
ejpam-6144	595	12	/	/	SYM
ejpam-6144	595	13	eur	eur	PROPN
ejpam-6144	595	14	.	.	PUNCT
ejpam-6144	596	1	j.	j.	PROPN
ejpam-6144	596	2	pure	pure	PROPN
ejpam-6144	596	3	appl	appl	PROPN
ejpam-6144	596	4	.	.	PROPN
ejpam-6144	596	5	math	math	PROPN
ejpam-6144	596	6	,	,	PUNCT
ejpam-6144	596	7	18	18	NUM
ejpam-6144	596	8	(	(	PUNCT
ejpam-6144	596	9	2	2	NUM
ejpam-6144	596	10	)	)	PUNCT
ejpam-6144	596	11	(	(	PUNCT
ejpam-6144	596	12	2025	2025	NUM
ejpam-6144	596	13	)	)	PUNCT
ejpam-6144	596	14	,	,	PUNCT
ejpam-6144	596	15	6144	6144	NUM
ejpam-6144	596	16	25	25	NUM
ejpam-6144	596	17	of	of	ADP
ejpam-6144	596	18	26	26	NUM
ejpam-6144	596	19	[	[	X
ejpam-6144	596	20	11	11	NUM
ejpam-6144	596	21	]	]	PUNCT
ejpam-6144	596	22	m.	m.	NOUN
ejpam-6144	596	23	alizadeh	alizadeh	NOUN
ejpam-6144	596	24	,	,	PUNCT
ejpam-6144	596	25	a.	a.	PROPN
ejpam-6144	596	26	z.	z.	PROPN
ejpam-6144	596	27	afify	afify	PROPN
ejpam-6144	596	28	,	,	PUNCT
ejpam-6144	596	29	m.	m.	NOUN
ejpam-6144	596	30	s.	s.	PROPN
ejpam-6144	596	31	eliwa	eliwa	PROPN
ejpam-6144	596	32	,	,	PUNCT
ejpam-6144	596	33	and	and	CCONJ
ejpam-6144	596	34	s.	s.	PROPN
ejpam-6144	596	35	ali	ali	PROPN
ejpam-6144	596	36	.	.	PUNCT
ejpam-6144	597	1	the	the	DET
ejpam-6144	597	2	odd	odd	ADJ
ejpam-6144	597	3	log	log	NOUN
ejpam-6144	597	4	-	-	PUNCT
ejpam-6144	597	5	logistic	logistic	NOUN
ejpam-6144	597	6	lindley	lindley	NOUN
ejpam-6144	597	7	-	-	PUNCT
ejpam-6144	597	8	g	g	NOUN
ejpam-6144	597	9	family	family	NOUN
ejpam-6144	597	10	of	of	ADP
ejpam-6144	597	11	distributions	distribution	NOUN
ejpam-6144	597	12	:	:	PUNCT
ejpam-6144	597	13	properties	property	NOUN
ejpam-6144	597	14	,	,	PUNCT
ejpam-6144	597	15	bayesian	bayesian	NOUN
ejpam-6144	597	16	and	and	CCONJ
ejpam-6144	597	17	non	non	ADJ
ejpam-6144	597	18	-	-	ADJ
ejpam-6144	597	19	bayesian	bayesian	ADJ
ejpam-6144	597	20	estimation	estimation	NOUN
ejpam-6144	597	21	with	with	ADP
ejpam-6144	597	22	applications	application	NOUN
ejpam-6144	597	23	.	.	PUNCT
ejpam-6144	598	1	computational	computational	ADJ
ejpam-6144	598	2	statistics	statistic	NOUN
ejpam-6144	598	3	,	,	PUNCT
ejpam-6144	598	4	35:281–308	35:281–308	NUM
ejpam-6144	598	5	,	,	PUNCT
ejpam-6144	598	6	2020	2020	NUM
ejpam-6144	598	7	.	.	PUNCT
ejpam-6144	599	1	[	[	X
ejpam-6144	599	2	12	12	NUM
ejpam-6144	599	3	]	]	PUNCT
ejpam-6144	599	4	m.	m.	NOUN
ejpam-6144	599	5	alizadeh	alizadeh	NOUN
ejpam-6144	599	6	,	,	PUNCT
ejpam-6144	599	7	g.	g.	PROPN
ejpam-6144	599	8	m.	m.	PROPN
ejpam-6144	599	9	cordeiro	cordeiro	PROPN
ejpam-6144	599	10	,	,	PUNCT
ejpam-6144	599	11	g.	g.	PROPN
ejpam-6144	599	12	b.	b.	PROPN
ejpam-6144	599	13	luis	luis	PROPN
ejpam-6144	599	14	,	,	PUNCT
ejpam-6144	599	15	and	and	CCONJ
ejpam-6144	599	16	i.	i.	PROPN
ejpam-6144	599	17	ghosh	ghosh	PROPN
ejpam-6144	599	18	.	.	PUNCT
ejpam-6144	600	1	the	the	DET
ejpam-6144	600	2	gompertz	gompertz	NOUN
ejpam-6144	600	3	-	-	PUNCT
ejpam-6144	600	4	g	g	NOUN
ejpam-6144	600	5	family	family	NOUN
ejpam-6144	600	6	of	of	ADP
ejpam-6144	600	7	distributions	distribution	NOUN
ejpam-6144	600	8	.	.	PUNCT
ejpam-6144	601	1	journal	journal	NOUN
ejpam-6144	601	2	of	of	ADP
ejpam-6144	601	3	statistical	statistical	ADJ
ejpam-6144	601	4	theory	theory	NOUN
ejpam-6144	601	5	and	and	CCONJ
ejpam-6144	601	6	practice	practice	NOUN
ejpam-6144	601	7	,	,	PUNCT
ejpam-6144	601	8	11:179–207	11:179–207	NOUN
ejpam-6144	601	9	,	,	PUNCT
ejpam-6144	601	10	2017	2017	NUM
ejpam-6144	601	11	.	.	PUNCT
ejpam-6144	602	1	[	[	X
ejpam-6144	602	2	13	13	NUM
ejpam-6144	602	3	]	]	PUNCT
ejpam-6144	602	4	m.	m.	NOUN
ejpam-6144	602	5	alizadeh	alizadeh	NOUN
ejpam-6144	602	6	,	,	PUNCT
ejpam-6144	602	7	m.	m.	NOUN
ejpam-6144	602	8	afshari	afshari	PROPN
ejpam-6144	602	9	,	,	PUNCT
ejpam-6144	602	10	j.	j.	PROPN
ejpam-6144	602	11	e.	e.	PROPN
ejpam-6144	602	12	contreras	contreras	PROPN
ejpam-6144	602	13	-	-	PUNCT
ejpam-6144	602	14	reyes	reyes	PROPN
ejpam-6144	602	15	,	,	PUNCT
ejpam-6144	602	16	d.	d.	PROPN
ejpam-6144	602	17	mazarei	mazarei	PROPN
ejpam-6144	602	18	,	,	PUNCT
ejpam-6144	602	19	and	and	CCONJ
ejpam-6144	602	20	h.	h.	PROPN
ejpam-6144	602	21	m.	m.	PROPN
ejpam-6144	602	22	yousof	yousof	PROPN
ejpam-6144	602	23	.	.	PUNCT
ejpam-6144	603	1	the	the	DET
ejpam-6144	603	2	extended	extend	VERB
ejpam-6144	603	3	gompertz	gompertz	NOUN
ejpam-6144	603	4	model	model	NOUN
ejpam-6144	603	5	:	:	PUNCT
ejpam-6144	603	6	applications	application	NOUN
ejpam-6144	603	7	,	,	PUNCT
ejpam-6144	603	8	mean	mean	NOUN
ejpam-6144	603	9	of	of	ADP
ejpam-6144	603	10	order	order	NOUN
ejpam-6144	603	11	p	p	NOUN
ejpam-6144	603	12	assessment	assessment	NOUN
ejpam-6144	603	13	,	,	PUNCT
ejpam-6144	603	14	and	and	CCONJ
ejpam-6144	603	15	statistical	statistical	ADJ
ejpam-6144	603	16	threshold	threshold	NOUN
ejpam-6144	603	17	risk	risk	NOUN
ejpam-6144	603	18	analysis	analysis	NOUN
ejpam-6144	603	19	based	base	VERB
ejpam-6144	603	20	on	on	ADP
ejpam-6144	603	21	extreme	extreme	ADJ
ejpam-6144	603	22	stresses	stress	NOUN
ejpam-6144	603	23	data	datum	NOUN
ejpam-6144	603	24	.	.	PUNCT
ejpam-6144	604	1	ieee	ieee	NOUN
ejpam-6144	604	2	transactions	transaction	NOUN
ejpam-6144	604	3	on	on	ADP
ejpam-6144	604	4	reliability	reliability	NOUN
ejpam-6144	604	5	,	,	PUNCT
ejpam-6144	604	6	doi	doi	NOUN
ejpam-6144	604	7	:	:	PUNCT
ejpam-6144	604	8	10.1109	10.1109	NUM
ejpam-6144	604	9	/	/	SYM
ejpam-6144	604	10	tr.2024.3425278	tr.2024.3425278	NOUN
ejpam-6144	604	11	,	,	PUNCT
ejpam-6144	604	12	1	1	NUM
ejpam-6144	604	13	-	-	SYM
ejpam-6144	604	14	13	13	NUM
ejpam-6144	604	15	,	,	PUNCT
ejpam-6144	604	16	2024	2024	NUM
ejpam-6144	604	17	.	.	PUNCT
ejpam-6144	605	1	[	[	X
ejpam-6144	605	2	14	14	NUM
ejpam-6144	605	3	]	]	PUNCT
ejpam-6144	605	4	m.	m.	NOUN
ejpam-6144	605	5	bebbington	bebbington	PROPN
ejpam-6144	605	6	,	,	PUNCT
ejpam-6144	605	7	c.	c.	PROPN
ejpam-6144	605	8	d.	d.	PROPN
ejpam-6144	605	9	lai	lai	PROPN
ejpam-6144	605	10	,	,	PUNCT
ejpam-6144	605	11	m.	m.	NOUN
ejpam-6144	605	12	wellington	wellington	PROPN
ejpam-6144	605	13	,	,	PUNCT
ejpam-6144	605	14	and	and	CCONJ
ejpam-6144	605	15	r.	r.	PROPN
ejpam-6144	605	16	zitikis	zitikis	PROPN
ejpam-6144	605	17	.	.	PUNCT
ejpam-6144	606	1	the	the	DET
ejpam-6144	606	2	discrete	discrete	ADJ
ejpam-6144	606	3	additive	additive	ADJ
ejpam-6144	606	4	weibull	weibull	NOUN
ejpam-6144	606	5	distribution	distribution	NOUN
ejpam-6144	606	6	:	:	PUNCT
ejpam-6144	606	7	a	a	DET
ejpam-6144	606	8	bathtub	bathtub	NOUN
ejpam-6144	606	9	-	-	PUNCT
ejpam-6144	606	10	shaped	shape	VERB
ejpam-6144	606	11	hazard	hazard	NOUN
ejpam-6144	606	12	for	for	ADP
ejpam-6144	606	13	discontinuous	discontinuous	ADJ
ejpam-6144	606	14	failure	failure	NOUN
ejpam-6144	606	15	data	datum	NOUN
ejpam-6144	606	16	.	.	PUNCT
ejpam-6144	607	1	reliability	reliability	NOUN
ejpam-6144	607	2	engineering	engineering	NOUN
ejpam-6144	607	3	&	&	CCONJ
ejpam-6144	607	4	system	system	NOUN
ejpam-6144	607	5	safety	safety	NOUN
ejpam-6144	607	6	,	,	PUNCT
ejpam-6144	607	7	106:37–44	106:37–44	NUM
ejpam-6144	607	8	,	,	PUNCT
ejpam-6144	607	9	2012	2012	NUM
ejpam-6144	607	10	.	.	PUNCT
ejpam-6144	608	1	[	[	X
ejpam-6144	608	2	15	15	NUM
ejpam-6144	608	3	]	]	X
ejpam-6144	608	4	m.	m.	NOUN
ejpam-6144	608	5	el	el	PROPN
ejpam-6144	608	6	-	-	PUNCT
ejpam-6144	608	7	morshedy	morshedy	PROPN
ejpam-6144	608	8	,	,	PUNCT
ejpam-6144	608	9	and	and	CCONJ
ejpam-6144	608	10	m.	m.	PROPN
ejpam-6144	608	11	s.	s.	PROPN
ejpam-6144	608	12	eliwa	eliwa	PROPN
ejpam-6144	608	13	.	.	PUNCT
ejpam-6144	609	1	the	the	DET
ejpam-6144	609	2	odd	odd	ADJ
ejpam-6144	609	3	flexible	flexible	ADJ
ejpam-6144	609	4	weibull	weibull	NOUN
ejpam-6144	609	5	-	-	PUNCT
ejpam-6144	609	6	h	h	PROPN
ejpam-6144	609	7	family	family	NOUN
ejpam-6144	609	8	of	of	ADP
ejpam-6144	609	9	distributions	distribution	NOUN
ejpam-6144	609	10	:	:	PUNCT
ejpam-6144	609	11	properties	property	NOUN
ejpam-6144	609	12	and	and	CCONJ
ejpam-6144	609	13	estimation	estimation	NOUN
ejpam-6144	609	14	with	with	ADP
ejpam-6144	609	15	applications	application	NOUN
ejpam-6144	609	16	to	to	PART
ejpam-6144	609	17	complete	complete	VERB
ejpam-6144	609	18	and	and	CCONJ
ejpam-6144	609	19	upper	upper	ADJ
ejpam-6144	609	20	record	record	NOUN
ejpam-6144	609	21	data	datum	NOUN
ejpam-6144	609	22	.	.	PUNCT
ejpam-6144	610	1	filomat	filomat	PROPN
ejpam-6144	610	2	,	,	PUNCT
ejpam-6144	610	3	33:2635–2652	33:2635–2652	NUM
ejpam-6144	610	4	,	,	PUNCT
ejpam-6144	610	5	2019	2019	NUM
ejpam-6144	610	6	.	.	PUNCT
ejpam-6144	611	1	[	[	X
ejpam-6144	611	2	16	16	NUM
ejpam-6144	611	3	]	]	PUNCT
ejpam-6144	611	4	m.	m.	NOUN
ejpam-6144	611	5	ibrahim	ibrahim	PROPN
ejpam-6144	611	6	,	,	PUNCT
ejpam-6144	611	7	n.	n.	PROPN
ejpam-6144	611	8	s.	s.	PROPN
ejpam-6144	611	9	butt	butt	PROPN
ejpam-6144	611	10	,	,	PUNCT
ejpam-6144	611	11	a.	a.	PROPN
ejpam-6144	611	12	h.	h.	PROPN
ejpam-6144	611	13	al	al	PROPN
ejpam-6144	611	14	-	-	PROPN
ejpam-6144	611	15	nefaie	nefaie	PROPN
ejpam-6144	611	16	,	,	PUNCT
ejpam-6144	611	17	g.	g.	PROPN
ejpam-6144	611	18	g.	g.	PROPN
ejpam-6144	611	19	hamedani	hamedani	PROPN
ejpam-6144	611	20	,	,	PUNCT
ejpam-6144	611	21	h.	h.	PROPN
ejpam-6144	611	22	m.	m.	PROPN
ejpam-6144	611	23	yousof	yousof	PROPN
ejpam-6144	611	24	,	,	PUNCT
ejpam-6144	611	25	and	and	CCONJ
ejpam-6144	611	26	a.	a.	PROPN
ejpam-6144	611	27	s.	s.	PROPN
ejpam-6144	611	28	mahmoud	mahmoud	PROPN
ejpam-6144	611	29	.	.	PUNCT
ejpam-6144	612	1	an	an	DET
ejpam-6144	612	2	extended	extend	VERB
ejpam-6144	612	3	discrete	discrete	ADJ
ejpam-6144	612	4	model	model	NOUN
ejpam-6144	612	5	for	for	ADP
ejpam-6144	612	6	actuarial	actuarial	ADJ
ejpam-6144	612	7	data	datum	NOUN
ejpam-6144	612	8	and	and	CCONJ
ejpam-6144	612	9	value	value	NOUN
ejpam-6144	612	10	at	at	ADP
ejpam-6144	612	11	risk	risk	NOUN
ejpam-6144	612	12	analysis	analysis	NOUN
ejpam-6144	612	13	:	:	PUNCT
ejpam-6144	612	14	properties	property	NOUN
ejpam-6144	612	15	,	,	PUNCT
ejpam-6144	612	16	applications	application	NOUN
ejpam-6144	612	17	,	,	PUNCT
ejpam-6144	612	18	and	and	CCONJ
ejpam-6144	612	19	risk	risk	VERB
ejpam-6144	612	20	analysis	analysis	NOUN
ejpam-6144	612	21	under	under	ADP
ejpam-6144	612	22	financial	financial	ADJ
ejpam-6144	612	23	automobile	automobile	NOUN
ejpam-6144	612	24	claims	claim	NOUN
ejpam-6144	612	25	data	datum	NOUN
ejpam-6144	612	26	.	.	PUNCT
ejpam-6144	613	1	statistics	statistic	NOUN
ejpam-6144	613	2	,	,	PUNCT
ejpam-6144	613	3	optimization	optimization	NOUN
ejpam-6144	613	4	&	&	CCONJ
ejpam-6144	613	5	information	information	PROPN
ejpam-6144	613	6	computing	computing	PROPN
ejpam-6144	613	7	,	,	PUNCT
ejpam-6144	613	8	13:27–46	13:27–46	NUM
ejpam-6144	613	9	,	,	PUNCT
ejpam-6144	613	10	2025	2025	NUM
ejpam-6144	613	11	.	.	PUNCT
ejpam-6144	614	1	[	[	X
ejpam-6144	614	2	17	17	NUM
ejpam-6144	614	3	]	]	PUNCT
ejpam-6144	614	4	m.	m.	NOUN
ejpam-6144	614	5	m.	m.	NOUN
ejpam-6144	614	6	alsolmi	alsolmi	PROPN
ejpam-6144	614	7	.	.	PUNCT
ejpam-6144	615	1	a	a	DET
ejpam-6144	615	2	new	new	ADJ
ejpam-6144	615	3	logarithmic	logarithmic	ADJ
ejpam-6144	615	4	tangent	tangent	ADJ
ejpam-6144	615	5	-	-	PUNCT
ejpam-6144	615	6	u	u	NOUN
ejpam-6144	615	7	family	family	NOUN
ejpam-6144	615	8	of	of	ADP
ejpam-6144	615	9	distributions	distribution	NOUN
ejpam-6144	615	10	with	with	ADP
ejpam-6144	615	11	reliability	reliability	NOUN
ejpam-6144	615	12	analysis	analysis	NOUN
ejpam-6144	615	13	in	in	ADP
ejpam-6144	615	14	engineering	engineering	NOUN
ejpam-6144	615	15	data	datum	NOUN
ejpam-6144	615	16	.	.	PUNCT
ejpam-6144	616	1	computational	computational	ADJ
ejpam-6144	616	2	journal	journal	NOUN
ejpam-6144	616	3	of	of	ADP
ejpam-6144	616	4	mathematical	mathematical	ADJ
ejpam-6144	616	5	and	and	CCONJ
ejpam-6144	616	6	statistical	statistical	ADJ
ejpam-6144	616	7	sciences	science	NOUN
ejpam-6144	616	8	,	,	PUNCT
ejpam-6144	616	9	4:258–282	4:258–282	PROPN
ejpam-6144	616	10	,	,	PUNCT
ejpam-6144	616	11	2025	2025	NUM
ejpam-6144	616	12	.	.	PUNCT
ejpam-6144	617	1	[	[	X
ejpam-6144	617	2	18	18	NUM
ejpam-6144	617	3	]	]	PUNCT
ejpam-6144	617	4	m.	m.	NOUN
ejpam-6144	617	5	n.	n.	PROPN
ejpam-6144	617	6	atchadé	atchadé	PROPN
ejpam-6144	617	7	,	,	PUNCT
ejpam-6144	617	8	a.	a.	NOUN
ejpam-6144	617	9	a.	a.	NOUN
ejpam-6144	617	10	agbahide	agbahide	NOUN
ejpam-6144	617	11	,	,	PUNCT
ejpam-6144	617	12	t.	t.	PROPN
ejpam-6144	617	13	otodji	otodji	PROPN
ejpam-6144	617	14	,	,	PUNCT
ejpam-6144	617	15	m.	m.	NOUN
ejpam-6144	617	16	j.	j.	PROPN
ejpam-6144	617	17	bogninou	bogninou	PROPN
ejpam-6144	617	18	,	,	PUNCT
ejpam-6144	617	19	and	and	CCONJ
ejpam-6144	617	20	a.	a.	PROPN
ejpam-6144	617	21	moussa	moussa	PROPN
ejpam-6144	617	22	djibril	djibril	PROPN
ejpam-6144	617	23	.	.	PUNCT
ejpam-6144	618	1	a	a	DET
ejpam-6144	618	2	new	new	ADJ
ejpam-6144	618	3	shifted	shift	VERB
ejpam-6144	618	4	lomax	lomax	PROPN
ejpam-6144	618	5	-	-	PUNCT
ejpam-6144	618	6	x	x	PROPN
ejpam-6144	618	7	family	family	NOUN
ejpam-6144	618	8	of	of	ADP
ejpam-6144	618	9	distributions	distribution	NOUN
ejpam-6144	618	10	:	:	PUNCT
ejpam-6144	618	11	properties	property	NOUN
ejpam-6144	618	12	and	and	CCONJ
ejpam-6144	618	13	applications	application	NOUN
ejpam-6144	618	14	to	to	ADP
ejpam-6144	618	15	actuarial	actuarial	ADJ
ejpam-6144	618	16	and	and	CCONJ
ejpam-6144	618	17	financial	financial	ADJ
ejpam-6144	618	18	data	datum	NOUN
ejpam-6144	618	19	.	.	PUNCT
ejpam-6144	619	1	computational	computational	ADJ
ejpam-6144	619	2	journal	journal	NOUN
ejpam-6144	619	3	of	of	ADP
ejpam-6144	619	4	mathematical	mathematical	ADJ
ejpam-6144	619	5	and	and	CCONJ
ejpam-6144	619	6	statistical	statistical	ADJ
ejpam-6144	619	7	sciences	science	NOUN
ejpam-6144	619	8	,	,	PUNCT
ejpam-6144	619	9	4:41–71	4:41–71	NOUN
ejpam-6144	619	10	,	,	PUNCT
ejpam-6144	619	11	2025	2025	NUM
ejpam-6144	619	12	.	.	PUNCT
ejpam-6144	620	1	[	[	X
ejpam-6144	620	2	19	19	NUM
ejpam-6144	620	3	]	]	PUNCT
ejpam-6144	620	4	m.	m.	NOUN
ejpam-6144	620	5	s.	s.	PROPN
ejpam-6144	620	6	eliwa	eliwa	PROPN
ejpam-6144	620	7	,	,	PUNCT
ejpam-6144	620	8	m.	m.	PROPN
ejpam-6144	620	9	el	el	PROPN
ejpam-6144	620	10	-	-	PUNCT
ejpam-6144	620	11	morshedy	morshedy	PROPN
ejpam-6144	620	12	,	,	PUNCT
ejpam-6144	620	13	and	and	CCONJ
ejpam-6144	620	14	m.	m.	PROPN
ejpam-6144	620	15	ibrahim	ibrahim	PROPN
ejpam-6144	620	16	.	.	PUNCT
ejpam-6144	621	1	inverse	inverse	NOUN
ejpam-6144	621	2	gompertz	gompertz	NOUN
ejpam-6144	621	3	distribution	distribution	NOUN
ejpam-6144	621	4	:	:	PUNCT
ejpam-6144	621	5	properties	property	NOUN
ejpam-6144	621	6	and	and	CCONJ
ejpam-6144	621	7	different	different	ADJ
ejpam-6144	621	8	estimation	estimation	NOUN
ejpam-6144	621	9	methods	method	NOUN
ejpam-6144	621	10	with	with	ADP
ejpam-6144	621	11	application	application	NOUN
ejpam-6144	621	12	to	to	PART
ejpam-6144	621	13	complete	complete	VERB
ejpam-6144	621	14	and	and	CCONJ
ejpam-6144	621	15	censored	censored	ADJ
ejpam-6144	621	16	data	datum	NOUN
ejpam-6144	621	17	.	.	PUNCT
ejpam-6144	622	1	annals	annal	NOUN
ejpam-6144	622	2	of	of	ADP
ejpam-6144	622	3	data	data	NOUN
ejpam-6144	622	4	science	science	NOUN
ejpam-6144	622	5	,	,	PUNCT
ejpam-6144	622	6	6:321–339	6:321–339	NUM
ejpam-6144	622	7	,	,	PUNCT
ejpam-6144	622	8	2019	2019	NUM
ejpam-6144	622	9	.	.	PUNCT
ejpam-6144	623	1	[	[	X
ejpam-6144	623	2	20	20	NUM
ejpam-6144	623	3	]	]	PUNCT
ejpam-6144	623	4	m.	m.	NOUN
ejpam-6144	623	5	s.	s.	PROPN
ejpam-6144	623	6	eliwa	eliwa	PROPN
ejpam-6144	623	7	,	,	PUNCT
ejpam-6144	623	8	m.	m.	NOUN
ejpam-6144	623	9	h.	h.	PROPN
ejpam-6144	623	10	tahir	tahir	PROPN
ejpam-6144	623	11	,	,	PUNCT
ejpam-6144	623	12	m.	m.	NOUN
ejpam-6144	623	13	a.	a.	PROPN
ejpam-6144	623	14	hussain	hussain	PROPN
ejpam-6144	623	15	,	,	PUNCT
ejpam-6144	623	16	b.	b.	PROPN
ejpam-6144	623	17	almohaimeed	almohaimeed	PROPN
ejpam-6144	623	18	,	,	PUNCT
ejpam-6144	623	19	a.	a.	PROPN
ejpam-6144	623	20	al	al	PROPN
ejpam-6144	623	21	-	-	PUNCT
ejpam-6144	623	22	bossly	bossly	ADV
ejpam-6144	623	23	,	,	PUNCT
ejpam-6144	623	24	and	and	CCONJ
ejpam-6144	623	25	m.	m.	NOUN
ejpam-6144	623	26	elmorshedy	elmorshedy	PROPN
ejpam-6144	623	27	.	.	PUNCT
ejpam-6144	624	1	univariate	univariate	ADJ
ejpam-6144	624	2	probability	probability	NOUN
ejpam-6144	624	3	-	-	PUNCT
ejpam-6144	624	4	g	g	NOUN
ejpam-6144	624	5	classes	class	NOUN
ejpam-6144	624	6	for	for	ADP
ejpam-6144	624	7	scattered	scatter	VERB
ejpam-6144	624	8	samples	sample	NOUN
ejpam-6144	624	9	under	under	ADP
ejpam-6144	624	10	different	different	ADJ
ejpam-6144	624	11	forms	form	NOUN
ejpam-6144	624	12	of	of	ADP
ejpam-6144	624	13	hazard	hazard	NOUN
ejpam-6144	624	14	:	:	PUNCT
ejpam-6144	624	15	continuous	continuous	ADJ
ejpam-6144	624	16	and	and	CCONJ
ejpam-6144	624	17	discrete	discrete	ADJ
ejpam-6144	624	18	versions	version	NOUN
ejpam-6144	624	19	with	with	ADP
ejpam-6144	624	20	their	their	PRON
ejpam-6144	624	21	inference	inference	NOUN
ejpam-6144	624	22	tests	test	NOUN
ejpam-6144	624	23	.	.	PUNCT
ejpam-6144	625	1	mathematics	mathematic	NOUN
ejpam-6144	625	2	,	,	PUNCT
ejpam-6144	625	3	11:2929	11:2929	NUM
ejpam-6144	625	4	,	,	PUNCT
ejpam-6144	625	5	2023	2023	NUM
ejpam-6144	625	6	.	.	PUNCT
ejpam-6144	626	1	[	[	X
ejpam-6144	626	2	21	21	NUM
ejpam-6144	626	3	]	]	PUNCT
ejpam-6144	626	4	m.	m.	NOUN
ejpam-6144	626	5	s.	s.	PROPN
ejpam-6144	626	6	eliwa	eliwa	PROPN
ejpam-6144	626	7	,	,	PUNCT
ejpam-6144	626	8	z.	z.	PROPN
ejpam-6144	626	9	a.	a.	NOUN
ejpam-6144	626	10	alhussain	alhussain	PROPN
ejpam-6144	626	11	,	,	PUNCT
ejpam-6144	626	12	and	and	CCONJ
ejpam-6144	626	13	m.	m.	PROPN
ejpam-6144	626	14	el	el	PROPN
ejpam-6144	626	15	-	-	PUNCT
ejpam-6144	626	16	morshedy	morshedy	PROPN
ejpam-6144	626	17	.	.	PUNCT
ejpam-6144	627	1	discrete	discrete	ADJ
ejpam-6144	627	2	gompertz	gompertz	NOUN
ejpam-6144	627	3	-	-	PUNCT
ejpam-6144	627	4	g	g	NOUN
ejpam-6144	627	5	family	family	NOUN
ejpam-6144	627	6	of	of	ADP
ejpam-6144	627	7	distributions	distribution	NOUN
ejpam-6144	627	8	for	for	ADP
ejpam-6144	627	9	over	over	ADP
ejpam-6144	627	10	-	-	PUNCT
ejpam-6144	627	11	and	and	CCONJ
ejpam-6144	627	12	under	under	ADV
ejpam-6144	627	13	-	-	PUNCT
ejpam-6144	627	14	dispersed	disperse	VERB
ejpam-6144	627	15	data	datum	NOUN
ejpam-6144	627	16	with	with	ADP
ejpam-6144	627	17	properties	property	NOUN
ejpam-6144	627	18	,	,	PUNCT
ejpam-6144	627	19	estimation	estimation	NOUN
ejpam-6144	627	20	,	,	PUNCT
ejpam-6144	627	21	and	and	CCONJ
ejpam-6144	627	22	applications	application	NOUN
ejpam-6144	627	23	.	.	PUNCT
ejpam-6144	628	1	mathematics	mathematic	NOUN
ejpam-6144	628	2	,	,	PUNCT
ejpam-6144	628	3	8(3	8(3	NUM
ejpam-6144	628	4	)	)	PUNCT
ejpam-6144	628	5	,	,	PUNCT
ejpam-6144	628	6	358	358	NUM
ejpam-6144	628	7	,	,	PUNCT
ejpam-6144	628	8	2020	2020	NUM
ejpam-6144	628	9	.	.	PUNCT
ejpam-6144	629	1	[	[	X
ejpam-6144	629	2	22	22	NUM
ejpam-6144	629	3	]	]	X
ejpam-6144	629	4	r.	r.	PROPN
ejpam-6144	629	5	a.	a.	PROPN
ejpam-6144	629	6	bantan	bantan	PROPN
ejpam-6144	629	7	,	,	PUNCT
ejpam-6144	629	8	f.	f.	PROPN
ejpam-6144	629	9	jamal	jamal	PROPN
ejpam-6144	629	10	,	,	PUNCT
ejpam-6144	629	11	c.	c.	PROPN
ejpam-6144	629	12	chesneau	chesneau	PROPN
ejpam-6144	629	13	,	,	PUNCT
ejpam-6144	629	14	and	and	CCONJ
ejpam-6144	629	15	m.	m.	NOUN
ejpam-6144	629	16	elgarhy	elgarhy	PROPN
ejpam-6144	629	17	.	.	PUNCT
ejpam-6144	630	1	theory	theory	NOUN
ejpam-6144	630	2	and	and	CCONJ
ejpam-6144	630	3	applications	application	NOUN
ejpam-6144	630	4	of	of	ADP
ejpam-6144	630	5	the	the	DET
ejpam-6144	630	6	unit	unit	NOUN
ejpam-6144	630	7	gamma	gamma	NOUN
ejpam-6144	630	8	/	/	SYM
ejpam-6144	630	9	gompertz	gompertz	NOUN
ejpam-6144	630	10	distribution	distribution	NOUN
ejpam-6144	630	11	.	.	PUNCT
ejpam-6144	631	1	mathematics	mathematic	NOUN
ejpam-6144	631	2	,	,	PUNCT
ejpam-6144	631	3	9:1850	9:1850	NUM
ejpam-6144	631	4	,	,	PUNCT
ejpam-6144	631	5	2021	2021	NUM
ejpam-6144	631	6	.	.	PUNCT
ejpam-6144	632	1	[	[	X
ejpam-6144	632	2	23	23	NUM
ejpam-6144	632	3	]	]	X
ejpam-6144	632	4	r.	r.	NOUN
ejpam-6144	632	5	roozegar	roozegar	NOUN
ejpam-6144	632	6	,	,	PUNCT
ejpam-6144	632	7	s.	s.	PROPN
ejpam-6144	632	8	tahmasebi	tahmasebi	NOUN
ejpam-6144	632	9	,	,	PUNCT
ejpam-6144	632	10	and	and	CCONJ
ejpam-6144	632	11	a.	a.	NOUN
ejpam-6144	632	12	a.	a.	NOUN
ejpam-6144	632	13	jafari	jafari	PROPN
ejpam-6144	632	14	.	.	PUNCT
ejpam-6144	633	1	the	the	DET
ejpam-6144	633	2	mcdonald	mcdonald	PROPN
ejpam-6144	633	3	gompertz	gompertz	PROPN
ejpam-6144	633	4	distribution	distribution	NOUN
ejpam-6144	633	5	:	:	PUNCT
ejpam-6144	633	6	properties	property	NOUN
ejpam-6144	633	7	and	and	CCONJ
ejpam-6144	633	8	applications	application	NOUN
ejpam-6144	633	9	.	.	PUNCT
ejpam-6144	634	1	communications	communication	NOUN
ejpam-6144	634	2	in	in	ADP
ejpam-6144	634	3	statistics	statistic	NOUN
ejpam-6144	634	4	-	-	PUNCT
ejpam-6144	634	5	simulation	simulation	NOUN
ejpam-6144	634	6	and	and	CCONJ
ejpam-6144	634	7	computation	computation	NOUN
ejpam-6144	634	8	,	,	PUNCT
ejpam-6144	634	9	46:3341–3355	46:3341–3355	NUM
ejpam-6144	634	10	,	,	PUNCT
ejpam-6144	634	11	2017	2017	NUM
ejpam-6144	634	12	.	.	PUNCT
ejpam-6144	635	1	[	[	X
ejpam-6144	635	2	24	24	NUM
ejpam-6144	635	3	]	]	X
ejpam-6144	635	4	rényi	rényi	PROPN
ejpam-6144	635	5	.	.	PUNCT
ejpam-6144	636	1	on	on	ADP
ejpam-6144	636	2	measures	measure	NOUN
ejpam-6144	636	3	of	of	ADP
ejpam-6144	636	4	entropy	entropy	NOUN
ejpam-6144	636	5	and	and	CCONJ
ejpam-6144	636	6	information	information	NOUN
ejpam-6144	636	7	.	.	PUNCT
ejpam-6144	637	1	in	in	ADP
ejpam-6144	637	2	proceedings	proceeding	NOUN
ejpam-6144	637	3	of	of	ADP
ejpam-6144	637	4	the	the	DET
ejpam-6144	637	5	fourth	fourth	PROPN
ejpam-6144	637	6	berkeley	berkeley	PROPN
ejpam-6144	637	7	symposium	symposium	NOUN
ejpam-6144	637	8	on	on	ADP
ejpam-6144	637	9	mathematical	mathematical	ADJ
ejpam-6144	637	10	statistics	statistic	NOUN
ejpam-6144	637	11	and	and	CCONJ
ejpam-6144	637	12	probability	probability	NOUN
ejpam-6144	637	13	.	.	PUNCT
ejpam-6144	638	1	contributions	contribution	NOUN
ejpam-6144	638	2	to	to	ADP
ejpam-6144	638	3	the	the	DET
ejpam-6144	638	4	theory	theory	NOUN
ejpam-6144	638	5	m.	m.	NOUN
ejpam-6144	638	6	s.	s.	PROPN
ejpam-6144	638	7	eliwa	eliwa	PROPN
ejpam-6144	638	8	,	,	PUNCT
ejpam-6144	638	9	w.	w.	PROPN
ejpam-6144	638	10	e.	e.	PROPN
ejpam-6144	638	11	alghanem	alghanem	PROPN
ejpam-6144	638	12	,	,	PUNCT
ejpam-6144	638	13	m.	m.	NOUN
ejpam-6144	638	14	a.	a.	NOUN
ejpam-6144	638	15	alenizi	alenizi	PROPN
ejpam-6144	638	16	/	/	SYM
ejpam-6144	638	17	eur	eur	PROPN
ejpam-6144	638	18	.	.	PUNCT
ejpam-6144	639	1	j.	j.	PROPN
ejpam-6144	639	2	pure	pure	PROPN
ejpam-6144	639	3	appl	appl	PROPN
ejpam-6144	639	4	.	.	PROPN
ejpam-6144	639	5	math	math	PROPN
ejpam-6144	639	6	,	,	PUNCT
ejpam-6144	639	7	18	18	NUM
ejpam-6144	639	8	(	(	PUNCT
ejpam-6144	639	9	2	2	NUM
ejpam-6144	639	10	)	)	PUNCT
ejpam-6144	639	11	(	(	PUNCT
ejpam-6144	639	12	2025	2025	NUM
ejpam-6144	639	13	)	)	PUNCT
ejpam-6144	639	14	,	,	PUNCT
ejpam-6144	639	15	6144	6144	NUM
ejpam-6144	639	16	26	26	NUM
ejpam-6144	639	17	of	of	ADP
ejpam-6144	639	18	26	26	NUM
ejpam-6144	639	19	of	of	ADP
ejpam-6144	639	20	statistics	statistic	NOUN
ejpam-6144	639	21	,	,	PUNCT
ejpam-6144	639	22	547–562	547–562	NUM
ejpam-6144	639	23	.	.	PUNCT
ejpam-6144	640	1	university	university	PROPN
ejpam-6144	640	2	of	of	ADP
ejpam-6144	640	3	california	california	PROPN
ejpam-6144	640	4	press	press	PROPN
ejpam-6144	640	5	,	,	PUNCT
ejpam-6144	640	6	1961	1961	NUM
ejpam-6144	640	7	.	.	PUNCT
ejpam-6144	641	1	[	[	X
ejpam-6144	641	2	25	25	NUM
ejpam-6144	641	3	]	]	X
ejpam-6144	641	4	roy	roy	PROPN
ejpam-6144	641	5	.	.	PROPN
ejpam-6144	641	6	discrete	discrete	VERB
ejpam-6144	641	7	rayleigh	rayleigh	NOUN
ejpam-6144	641	8	distribution	distribution	NOUN
ejpam-6144	641	9	.	.	PUNCT
ejpam-6144	642	1	ieee	ieee	NOUN
ejpam-6144	642	2	transactions	transaction	NOUN
ejpam-6144	642	3	on	on	ADP
ejpam-6144	642	4	reliability	reliability	NOUN
ejpam-6144	642	5	,	,	PUNCT
ejpam-6144	642	6	53:255–260	53:255–260	PROPN
ejpam-6144	642	7	,	,	PUNCT
ejpam-6144	642	8	2004	2004	NUM
ejpam-6144	642	9	.	.	PUNCT
ejpam-6144	643	1	[	[	X
ejpam-6144	643	2	26	26	NUM
ejpam-6144	643	3	]	]	PUNCT
ejpam-6144	643	4	s.	s.	PROPN
ejpam-6144	643	5	hassan	hassan	PROPN
ejpam-6144	643	6	,	,	PUNCT
ejpam-6144	643	7	and	and	CCONJ
ejpam-6144	643	8	a.	a.	NOUN
ejpam-6144	643	9	m.	m.	NOUN
ejpam-6144	643	10	abdelghaffar	abdelghaffar	ADV
ejpam-6144	643	11	.	.	PUNCT
ejpam-6144	644	1	bayesian	bayesian	NOUN
ejpam-6144	644	2	and	and	CCONJ
ejpam-6144	644	3	e	e	NOUN
ejpam-6144	644	4	-	-	NOUN
ejpam-6144	644	5	bayesian	bayesian	ADJ
ejpam-6144	644	6	estimation	estimation	NOUN
ejpam-6144	644	7	of	of	ADP
ejpam-6144	644	8	gompertz	gompertz	NOUN
ejpam-6144	644	9	distribution	distribution	NOUN
ejpam-6144	644	10	in	in	ADP
ejpam-6144	644	11	stress	stress	NOUN
ejpam-6144	644	12	-	-	PUNCT
ejpam-6144	644	13	strength	strength	NOUN
ejpam-6144	644	14	reliability	reliability	NOUN
ejpam-6144	644	15	model	model	NOUN
ejpam-6144	644	16	under	under	ADP
ejpam-6144	644	17	partially	partially	ADV
ejpam-6144	644	18	accelerated	accelerate	VERB
ejpam-6144	644	19	life	life	NOUN
ejpam-6144	644	20	testing	testing	NOUN
ejpam-6144	644	21	.	.	PUNCT
ejpam-6144	645	1	computational	computational	ADJ
ejpam-6144	645	2	journal	journal	NOUN
ejpam-6144	645	3	of	of	ADP
ejpam-6144	645	4	mathematical	mathematical	ADJ
ejpam-6144	645	5	and	and	CCONJ
ejpam-6144	645	6	statistical	statistical	ADJ
ejpam-6144	645	7	sciences	science	NOUN
ejpam-6144	645	8	,	,	PUNCT
ejpam-6144	645	9	4:348–378	4:348–378	NUM
ejpam-6144	645	10	,	,	PUNCT
ejpam-6144	645	11	2025	2025	NUM
ejpam-6144	645	12	.	.	PUNCT
ejpam-6144	646	1	[	[	X
ejpam-6144	646	2	27	27	NUM
ejpam-6144	646	3	]	]	PUNCT
ejpam-6144	646	4	t.	t.	PROPN
ejpam-6144	646	5	nakagawa	nakagawa	PROPN
ejpam-6144	646	6	,	,	PUNCT
ejpam-6144	646	7	and	and	CCONJ
ejpam-6144	646	8	s.	s.	PROPN
ejpam-6144	646	9	osaki	osaki	PROPN
ejpam-6144	646	10	.	.	PUNCT
ejpam-6144	647	1	the	the	DET
ejpam-6144	647	2	discrete	discrete	ADJ
ejpam-6144	647	3	weibull	weibull	NOUN
ejpam-6144	647	4	distribution	distribution	NOUN
ejpam-6144	647	5	.	.	PUNCT
ejpam-6144	648	1	ieee	ieee	NOUN
ejpam-6144	648	2	transactions	transaction	NOUN
ejpam-6144	648	3	on	on	ADP
ejpam-6144	648	4	reliability	reliability	NOUN
ejpam-6144	648	5	,	,	PUNCT
ejpam-6144	648	6	24:300–301	24:300–301	NUM
ejpam-6144	648	7	,	,	PUNCT
ejpam-6144	648	8	1975	1975	NUM
ejpam-6144	648	9	.	.	PUNCT
ejpam-6144	649	1	[	[	X
ejpam-6144	649	2	28	28	NUM
ejpam-6144	649	3	]	]	X
ejpam-6144	649	4	w.	w.	PROPN
ejpam-6144	649	5	a.	a.	PROPN
ejpam-6144	649	6	hamdi	hamdi	PROPN
ejpam-6144	649	7	,	,	PUNCT
ejpam-6144	649	8	y.	y.	PROPN
ejpam-6144	649	9	akdoğan	akdoğan	PROPN
ejpam-6144	649	10	,	,	PUNCT
ejpam-6144	649	11	t.	t.	PROPN
ejpam-6144	649	12	erbayram	erbayram	PROPN
ejpam-6144	649	13	,	,	PUNCT
ejpam-6144	649	14	m.	m.	NOUN
ejpam-6144	649	15	alqawba	alqawba	PROPN
ejpam-6144	649	16	,	,	PUNCT
ejpam-6144	649	17	and	and	CCONJ
ejpam-6144	649	18	a.	a.	NOUN
ejpam-6144	649	19	z.	z.	PROPN
ejpam-6144	649	20	afify	afify	VERB
ejpam-6144	649	21	.	.	PUNCT
ejpam-6144	650	1	statistical	statistical	ADJ
ejpam-6144	650	2	inference	inference	NOUN
ejpam-6144	650	3	of	of	ADP
ejpam-6144	650	4	the	the	DET
ejpam-6144	650	5	generalized	generalize	VERB
ejpam-6144	650	6	process	process	NOUN
ejpam-6144	650	7	capability	capability	NOUN
ejpam-6144	650	8	index	index	NOUN
ejpam-6144	650	9	for	for	ADP
ejpam-6144	650	10	the	the	DET
ejpam-6144	650	11	discrete	discrete	ADJ
ejpam-6144	650	12	lindley	lindley	NOUN
ejpam-6144	650	13	distribution	distribution	NOUN
ejpam-6144	650	14	.	.	PUNCT
ejpam-6144	651	1	scientific	scientific	ADJ
ejpam-6144	651	2	reports	report	NOUN
ejpam-6144	651	3	,	,	PUNCT
ejpam-6144	651	4	15:6776	15:6776	NUM
ejpam-6144	651	5	,	,	PUNCT
ejpam-6144	651	6	2025	2025	NUM
ejpam-6144	651	7	.	.	PUNCT
ejpam-6144	652	1	[	[	X
ejpam-6144	652	2	29	29	NUM
ejpam-6144	652	3	]	]	X
ejpam-6144	652	4	y.	y.	PROPN
ejpam-6144	652	5	y.	y.	PROPN
ejpam-6144	652	6	abdelall	abdelall	PROPN
ejpam-6144	652	7	,	,	PUNCT
ejpam-6144	652	8	a.	a.	PROPN
ejpam-6144	652	9	s.	s.	PROPN
ejpam-6144	652	10	hassan	hassan	PROPN
ejpam-6144	652	11	,	,	PUNCT
ejpam-6144	652	12	and	and	CCONJ
ejpam-6144	652	13	e.	e.	PROPN
ejpam-6144	652	14	m.	m.	PROPN
ejpam-6144	652	15	almetwally	almetwally	ADV
ejpam-6144	652	16	.	.	PUNCT
ejpam-6144	653	1	a	a	DET
ejpam-6144	653	2	new	new	ADJ
ejpam-6144	653	3	extension	extension	NOUN
ejpam-6144	653	4	of	of	ADP
ejpam-6144	653	5	the	the	DET
ejpam-6144	653	6	odd	odd	ADJ
ejpam-6144	653	7	inverse	inverse	NOUN
ejpam-6144	653	8	weibull	weibull	PROPN
ejpam-6144	653	9	-	-	PUNCT
ejpam-6144	653	10	g	g	PROPN
ejpam-6144	653	11	family	family	NOUN
ejpam-6144	653	12	of	of	ADP
ejpam-6144	653	13	distributions	distribution	NOUN
ejpam-6144	653	14	:	:	PUNCT
ejpam-6144	653	15	bayesian	bayesian	NOUN
ejpam-6144	653	16	and	and	CCONJ
ejpam-6144	653	17	non	non	ADJ
ejpam-6144	653	18	-	-	ADJ
ejpam-6144	653	19	bayesian	bayesian	ADJ
ejpam-6144	653	20	estimation	estimation	NOUN
ejpam-6144	653	21	with	with	ADP
ejpam-6144	653	22	engineering	engineering	NOUN
ejpam-6144	653	23	applications	application	NOUN
ejpam-6144	653	24	.	.	PUNCT
ejpam-6144	654	1	computational	computational	ADJ
ejpam-6144	654	2	journal	journal	NOUN
ejpam-6144	654	3	of	of	ADP
ejpam-6144	654	4	mathematical	mathematical	ADJ
ejpam-6144	654	5	and	and	CCONJ
ejpam-6144	654	6	statistical	statistical	ADJ
ejpam-6144	654	7	sciences	science	NOUN
ejpam-6144	654	8	,	,	PUNCT
ejpam-6144	654	9	3:359–388	3:359–388	NUM
ejpam-6144	654	10	,	,	PUNCT
ejpam-6144	654	11	2024	2024	NUM
ejpam-6144	654	12	.	.	PUNCT
ejpam-6144	655	1	[	[	X
ejpam-6144	655	2	30	30	NUM
ejpam-6144	655	3	]	]	PUNCT
ejpam-6144	655	4	z.	z.	PROPN
ejpam-6144	655	5	afify	afify	PROPN
ejpam-6144	655	6	,	,	PUNCT
ejpam-6144	655	7	m.	m.	PROPN
ejpam-6144	655	8	ahsan	ahsan	PROPN
ejpam-6144	655	9	-	-	PUNCT
ejpam-6144	655	10	ul	ul	INTJ
ejpam-6144	655	11	-	-	PUNCT
ejpam-6144	655	12	haq	haq	NOUN
ejpam-6144	655	13	,	,	PUNCT
ejpam-6144	655	14	h.	h.	PROPN
ejpam-6144	655	15	m.	m.	PROPN
ejpam-6144	655	16	aljohani	aljohani	PROPN
ejpam-6144	655	17	,	,	PUNCT
ejpam-6144	655	18	a.	a.	PROPN
ejpam-6144	655	19	s.	s.	PROPN
ejpam-6144	655	20	alghamdi	alghamdi	PROPN
ejpam-6144	655	21	,	,	PUNCT
ejpam-6144	655	22	a.	a.	NOUN
ejpam-6144	655	23	babar	babar	PROPN
ejpam-6144	655	24	,	,	PUNCT
ejpam-6144	655	25	and	and	CCONJ
ejpam-6144	655	26	h.	h.	PROPN
ejpam-6144	655	27	w.	w.	PROPN
ejpam-6144	655	28	gómez	gómez	PROPN
ejpam-6144	655	29	.	.	PUNCT
ejpam-6144	656	1	a	a	DET
ejpam-6144	656	2	new	new	ADJ
ejpam-6144	656	3	one	one	NUM
ejpam-6144	656	4	-	-	PUNCT
ejpam-6144	656	5	parameter	parameter	NOUN
ejpam-6144	656	6	discrete	discrete	ADJ
ejpam-6144	656	7	exponential	exponential	ADJ
ejpam-6144	656	8	distribution	distribution	NOUN
ejpam-6144	656	9	:	:	PUNCT
ejpam-6144	656	10	properties	property	NOUN
ejpam-6144	656	11	,	,	PUNCT
ejpam-6144	656	12	inference	inference	NOUN
ejpam-6144	656	13	,	,	PUNCT
ejpam-6144	656	14	and	and	CCONJ
ejpam-6144	656	15	applications	application	NOUN
ejpam-6144	656	16	to	to	ADP
ejpam-6144	656	17	covid-19	covid-19	PROPN
ejpam-6144	656	18	data	datum	NOUN
ejpam-6144	656	19	.	.	PUNCT
ejpam-6144	657	1	journal	journal	PROPN
ejpam-6144	657	2	of	of	ADP
ejpam-6144	657	3	king	king	PROPN
ejpam-6144	657	4	saud	saud	PROPN
ejpam-6144	657	5	university	university	PROPN
ejpam-6144	657	6	-	-	PUNCT
ejpam-6144	657	7	science	science	NOUN
ejpam-6144	657	8	,	,	PUNCT
ejpam-6144	657	9	34:102199	34:102199	NUM
ejpam-6144	657	10	,	,	PUNCT
ejpam-6144	657	11	2022	2022	NUM
ejpam-6144	657	12	.	.	PUNCT