id	sid	tid	token	lemma	pos
ejpam-3410	1	1	european	european	PROPN
ejpam-3410	1	2	journal	journal	PROPN
ejpam-3410	1	3	of	of	ADP
ejpam-3410	1	4	pure	pure	ADJ
ejpam-3410	1	5	and	and	CCONJ
ejpam-3410	1	6	applied	apply	VERB
ejpam-3410	1	7	mathematics	mathematic	NOUN
ejpam-3410	1	8	vol	vol	NOUN
ejpam-3410	1	9	.	.	PROPN
ejpam-3410	2	1	12	12	NUM
ejpam-3410	2	2	,	,	PUNCT
ejpam-3410	2	3	no	no	INTJ
ejpam-3410	2	4	.	.	NOUN
ejpam-3410	2	5	3	3	NUM
ejpam-3410	2	6	,	,	PUNCT
ejpam-3410	2	7	2019	2019	NUM
ejpam-3410	2	8	,	,	PUNCT
ejpam-3410	2	9	1106	1106	NUM
ejpam-3410	2	10	-	-	SYM
ejpam-3410	2	11	1121	1121	NUM
ejpam-3410	2	12	issn	issn	PROPN
ejpam-3410	2	13	1307	1307	NUM
ejpam-3410	2	14	-	-	SYM
ejpam-3410	2	15	5543	5543	NUM
ejpam-3410	2	16	–	–	PUNCT
ejpam-3410	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3410	2	18	published	publish	VERB
ejpam-3410	2	19	by	by	ADP
ejpam-3410	2	20	new	new	PROPN
ejpam-3410	2	21	york	york	PROPN
ejpam-3410	2	22	business	business	PROPN
ejpam-3410	2	23	global	global	ADJ
ejpam-3410	2	24	cubic	cubic	ADJ
ejpam-3410	2	25	transmuted	transmute	VERB
ejpam-3410	2	26	uniform	uniform	ADJ
ejpam-3410	2	27	distribution	distribution	NOUN
ejpam-3410	2	28	:	:	PUNCT
ejpam-3410	2	29	an	an	DET
ejpam-3410	2	30	alternative	alternative	NOUN
ejpam-3410	2	31	to	to	ADP
ejpam-3410	2	32	beta	beta	ADJ
ejpam-3410	2	33	and	and	CCONJ
ejpam-3410	2	34	kumaraswamy	kumaraswamy	ADJ
ejpam-3410	2	35	distributions	distribution	NOUN
ejpam-3410	2	36	md	md	PROPN
ejpam-3410	2	37	.	.	PROPN
ejpam-3410	2	38	mahabubur	mahabubur	PROPN
ejpam-3410	2	39	rahman1,2	rahman1,2	PROPN
ejpam-3410	2	40	,	,	PUNCT
ejpam-3410	2	41	bander	bander	NOUN
ejpam-3410	2	42	al	al	PROPN
ejpam-3410	2	43	-	-	PUNCT
ejpam-3410	2	44	zahrani1	zahrani1	PROPN
ejpam-3410	2	45	,	,	PUNCT
ejpam-3410	3	1	saman	saman	PROPN
ejpam-3410	3	2	hanif	hanif	PROPN
ejpam-3410	3	3	shahbaz1	shahbaz1	PROPN
ejpam-3410	3	4	,	,	PUNCT
ejpam-3410	3	5	muhammad	muhammad	PROPN
ejpam-3410	3	6	qaiser	qaiser	PROPN
ejpam-3410	3	7	shahbaz1,∗	shahbaz1,∗	PROPN
ejpam-3410	3	8	1	1	NUM
ejpam-3410	3	9	department	department	NOUN
ejpam-3410	3	10	of	of	ADP
ejpam-3410	3	11	statistics	statistic	NOUN
ejpam-3410	3	12	,	,	PUNCT
ejpam-3410	3	13	king	king	PROPN
ejpam-3410	3	14	abdulaziz	abdulaziz	PROPN
ejpam-3410	3	15	university	university	PROPN
ejpam-3410	3	16	,	,	PUNCT
ejpam-3410	3	17	jeddah	jeddah	PROPN
ejpam-3410	3	18	,	,	PUNCT
ejpam-3410	3	19	saudi	saudi	PROPN
ejpam-3410	3	20	arabia	arabia	PROPN
ejpam-3410	3	21	2	2	NUM
ejpam-3410	3	22	department	department	NOUN
ejpam-3410	3	23	of	of	ADP
ejpam-3410	3	24	statistics	statistic	NOUN
ejpam-3410	3	25	,	,	PUNCT
ejpam-3410	3	26	islamic	islamic	PROPN
ejpam-3410	3	27	university	university	PROPN
ejpam-3410	3	28	,	,	PUNCT
ejpam-3410	3	29	kushtia	kushtia	PROPN
ejpam-3410	3	30	,	,	PUNCT
ejpam-3410	3	31	bangladesh	bangladesh	NOUN
ejpam-3410	3	32	abstract	abstract	NOUN
ejpam-3410	3	33	.	.	PUNCT
ejpam-3410	4	1	in	in	ADP
ejpam-3410	4	2	this	this	DET
ejpam-3410	4	3	article	article	NOUN
ejpam-3410	4	4	,	,	PUNCT
ejpam-3410	4	5	a	a	DET
ejpam-3410	4	6	new	new	ADJ
ejpam-3410	4	7	cubic	cubic	ADJ
ejpam-3410	4	8	transmuted	transmute	VERB
ejpam-3410	4	9	(	(	PUNCT
ejpam-3410	4	10	ct	ct	NOUN
ejpam-3410	4	11	)	)	PUNCT
ejpam-3410	4	12	family	family	NOUN
ejpam-3410	4	13	of	of	ADP
ejpam-3410	4	14	distributions	distribution	NOUN
ejpam-3410	4	15	has	have	AUX
ejpam-3410	4	16	been	be	AUX
ejpam-3410	4	17	proposed	propose	VERB
ejpam-3410	4	18	by	by	ADP
ejpam-3410	4	19	adding	add	VERB
ejpam-3410	4	20	one	one	NUM
ejpam-3410	4	21	more	more	ADJ
ejpam-3410	4	22	parameter	parameter	NOUN
ejpam-3410	4	23	.	.	PUNCT
ejpam-3410	5	1	we	we	PRON
ejpam-3410	5	2	have	have	AUX
ejpam-3410	5	3	introduced	introduce	VERB
ejpam-3410	5	4	cubic	cubic	ADJ
ejpam-3410	5	5	transmuted	transmute	VERB
ejpam-3410	5	6	uniform	uniform	NOUN
ejpam-3410	5	7	(	(	PUNCT
ejpam-3410	5	8	ctu	ctu	NOUN
ejpam-3410	5	9	)	)	PUNCT
ejpam-3410	5	10	distribution	distribution	NOUN
ejpam-3410	5	11	by	by	ADP
ejpam-3410	5	12	using	use	VERB
ejpam-3410	5	13	the	the	DET
ejpam-3410	5	14	proposed	propose	VERB
ejpam-3410	5	15	class	class	NOUN
ejpam-3410	5	16	.	.	PUNCT
ejpam-3410	6	1	we	we	PRON
ejpam-3410	6	2	have	have	AUX
ejpam-3410	6	3	also	also	ADV
ejpam-3410	6	4	provided	provide	VERB
ejpam-3410	6	5	a	a	DET
ejpam-3410	6	6	detail	detail	NOUN
ejpam-3410	6	7	description	description	NOUN
ejpam-3410	6	8	of	of	ADP
ejpam-3410	6	9	the	the	DET
ejpam-3410	6	10	statistical	statistical	ADJ
ejpam-3410	6	11	properties	property	NOUN
ejpam-3410	6	12	of	of	ADP
ejpam-3410	6	13	the	the	DET
ejpam-3410	6	14	proposed	propose	VERB
ejpam-3410	6	15	ctu	ctu	NOUN
ejpam-3410	6	16	distribution	distribution	NOUN
ejpam-3410	6	17	along	along	ADP
ejpam-3410	6	18	with	with	ADP
ejpam-3410	6	19	its	its	PRON
ejpam-3410	6	20	estimation	estimation	NOUN
ejpam-3410	6	21	and	and	CCONJ
ejpam-3410	6	22	real	real	ADJ
ejpam-3410	6	23	-	-	PUNCT
ejpam-3410	6	24	life	life	NOUN
ejpam-3410	6	25	application	application	NOUN
ejpam-3410	6	26	.	.	PUNCT
ejpam-3410	7	1	2010	2010	NUM
ejpam-3410	7	2	mathematics	mathematic	NOUN
ejpam-3410	7	3	subject	subject	NOUN
ejpam-3410	7	4	classifications	classification	NOUN
ejpam-3410	7	5	:	:	PUNCT
ejpam-3410	7	6	33b20	33b20	NUM
ejpam-3410	7	7	,	,	PUNCT
ejpam-3410	7	8	46n30	46n30	NUM
ejpam-3410	7	9	,	,	PUNCT
ejpam-3410	7	10	60b15	60b15	NUM
ejpam-3410	7	11	key	key	ADJ
ejpam-3410	7	12	words	word	NOUN
ejpam-3410	7	13	and	and	CCONJ
ejpam-3410	7	14	phrases	phrase	NOUN
ejpam-3410	7	15	:	:	PUNCT
ejpam-3410	7	16	transmuted	transmuted	ADJ
ejpam-3410	7	17	distributions	distribution	NOUN
ejpam-3410	7	18	,	,	PUNCT
ejpam-3410	7	19	uniform	uniform	ADJ
ejpam-3410	7	20	distribution	distribution	NOUN
ejpam-3410	7	21	,	,	PUNCT
ejpam-3410	7	22	maximum	maximum	ADJ
ejpam-3410	7	23	likelihood	likelihood	NOUN
ejpam-3410	7	24	estimation	estimation	NOUN
ejpam-3410	7	25	1	1	NUM
ejpam-3410	7	26	.	.	PUNCT
ejpam-3410	8	1	introduction	introduction	NOUN
ejpam-3410	8	2	in	in	ADP
ejpam-3410	8	3	statistical	statistical	ADJ
ejpam-3410	8	4	data	datum	NOUN
ejpam-3410	8	5	analysis	analysis	NOUN
ejpam-3410	8	6	,	,	PUNCT
ejpam-3410	8	7	quality	quality	NOUN
ejpam-3410	8	8	of	of	ADP
ejpam-3410	8	9	the	the	DET
ejpam-3410	8	10	procedures	procedure	NOUN
ejpam-3410	8	11	mainly	mainly	ADV
ejpam-3410	8	12	depends	depend	VERB
ejpam-3410	8	13	upon	upon	SCONJ
ejpam-3410	8	14	the	the	DET
ejpam-3410	8	15	assumed	assumed	ADJ
ejpam-3410	8	16	probability	probability	NOUN
ejpam-3410	8	17	model	model	NOUN
ejpam-3410	8	18	of	of	ADP
ejpam-3410	8	19	the	the	DET
ejpam-3410	8	20	phenomenon	phenomenon	NOUN
ejpam-3410	8	21	.	.	PUNCT
ejpam-3410	9	1	large	large	ADJ
ejpam-3410	9	2	numbers	number	NOUN
ejpam-3410	9	3	of	of	ADP
ejpam-3410	9	4	probability	probability	NOUN
ejpam-3410	9	5	models	model	NOUN
ejpam-3410	9	6	are	be	AUX
ejpam-3410	9	7	,	,	PUNCT
ejpam-3410	9	8	therefore	therefore	ADV
ejpam-3410	9	9	,	,	PUNCT
ejpam-3410	9	10	being	be	AUX
ejpam-3410	9	11	developed	develop	VERB
ejpam-3410	9	12	by	by	ADP
ejpam-3410	9	13	the	the	DET
ejpam-3410	9	14	researcher	researcher	NOUN
ejpam-3410	9	15	.	.	PUNCT
ejpam-3410	10	1	enormous	enormous	ADJ
ejpam-3410	10	2	practical	practical	ADJ
ejpam-3410	10	3	problems	problem	NOUN
ejpam-3410	10	4	are	be	AUX
ejpam-3410	10	5	on	on	ADP
ejpam-3410	10	6	hand	hand	NOUN
ejpam-3410	10	7	where	where	SCONJ
ejpam-3410	10	8	the	the	DET
ejpam-3410	10	9	standard	standard	ADJ
ejpam-3410	10	10	and	and	CCONJ
ejpam-3410	10	11	extended	extend	VERB
ejpam-3410	10	12	probability	probability	NOUN
ejpam-3410	10	13	distributions	distribution	NOUN
ejpam-3410	10	14	does	do	AUX
ejpam-3410	10	15	not	not	PART
ejpam-3410	10	16	work	work	VERB
ejpam-3410	10	17	.	.	PUNCT
ejpam-3410	11	1	the	the	DET
ejpam-3410	11	2	generalization	generalization	NOUN
ejpam-3410	11	3	of	of	ADP
ejpam-3410	11	4	standard	standard	ADJ
ejpam-3410	11	5	probability	probability	NOUN
ejpam-3410	11	6	distributions	distribution	NOUN
ejpam-3410	11	7	has	have	AUX
ejpam-3410	11	8	been	be	AUX
ejpam-3410	11	9	an	an	DET
ejpam-3410	11	10	area	area	NOUN
ejpam-3410	11	11	of	of	ADP
ejpam-3410	11	12	interest	interest	NOUN
ejpam-3410	11	13	by	by	ADP
ejpam-3410	11	14	several	several	ADJ
ejpam-3410	11	15	authors	author	NOUN
ejpam-3410	11	16	.	.	PUNCT
ejpam-3410	12	1	azzalini	azzalini	PROPN
ejpam-3410	13	1	[	[	X
ejpam-3410	13	2	4	4	NUM
ejpam-3410	13	3	]	]	PUNCT
ejpam-3410	13	4	proposed	propose	VERB
ejpam-3410	13	5	a	a	DET
ejpam-3410	13	6	new	new	ADJ
ejpam-3410	13	7	method	method	NOUN
ejpam-3410	13	8	of	of	ADP
ejpam-3410	13	9	generalizing	generalize	VERB
ejpam-3410	13	10	the	the	DET
ejpam-3410	13	11	probability	probability	NOUN
ejpam-3410	13	12	distributions	distribution	NOUN
ejpam-3410	13	13	by	by	ADP
ejpam-3410	13	14	adding	add	VERB
ejpam-3410	13	15	skewness	skewness	NOUN
ejpam-3410	13	16	parameter	parameter	NOUN
ejpam-3410	13	17	to	to	ADP
ejpam-3410	13	18	symmetric	symmetric	ADJ
ejpam-3410	13	19	distributions	distribution	NOUN
ejpam-3410	13	20	and	and	CCONJ
ejpam-3410	13	21	this	this	DET
ejpam-3410	13	22	class	class	NOUN
ejpam-3410	13	23	is	be	AUX
ejpam-3410	13	24	referred	refer	VERB
ejpam-3410	13	25	to	to	ADP
ejpam-3410	13	26	as	as	ADP
ejpam-3410	13	27	the	the	DET
ejpam-3410	13	28	skew	skew	ADJ
ejpam-3410	13	29	-	-	PUNCT
ejpam-3410	13	30	symmetric	symmetric	ADJ
ejpam-3410	13	31	distributions	distribution	NOUN
ejpam-3410	13	32	.	.	PUNCT
ejpam-3410	14	1	eugene	eugene	PROPN
ejpam-3410	14	2	et	et	PROPN
ejpam-3410	14	3	al	al	PROPN
ejpam-3410	14	4	.	.	PUNCT
ejpam-3410	15	1	[	[	X
ejpam-3410	15	2	9	9	NUM
ejpam-3410	15	3	]	]	PUNCT
ejpam-3410	15	4	developed	develop	VERB
ejpam-3410	15	5	the	the	DET
ejpam-3410	15	6	beta−g	beta−g	PROPN
ejpam-3410	15	7	family	family	NOUN
ejpam-3410	15	8	of	of	ADP
ejpam-3410	15	9	distributions	distribution	NOUN
ejpam-3410	15	10	by	by	ADP
ejpam-3410	15	11	using	use	VERB
ejpam-3410	15	12	the	the	DET
ejpam-3410	15	13	logit	logit	NOUN
ejpam-3410	15	14	of	of	ADP
ejpam-3410	15	15	beta	beta	ADJ
ejpam-3410	15	16	distribution	distribution	NOUN
ejpam-3410	15	17	.	.	PUNCT
ejpam-3410	16	1	the	the	DET
ejpam-3410	16	2	beta−g	beta−g	PROPN
ejpam-3410	16	3	family	family	NOUN
ejpam-3410	16	4	of	of	ADP
ejpam-3410	16	5	distributions	distribution	NOUN
ejpam-3410	16	6	extends	extend	VERB
ejpam-3410	16	7	the	the	DET
ejpam-3410	16	8	distribution	distribution	NOUN
ejpam-3410	16	9	of	of	ADP
ejpam-3410	16	10	order	order	NOUN
ejpam-3410	16	11	statistics	statistic	NOUN
ejpam-3410	16	12	.	.	PUNCT
ejpam-3410	17	1	cordeiro	cordeiro	PROPN
ejpam-3410	17	2	and	and	CCONJ
ejpam-3410	17	3	de	de	X
ejpam-3410	17	4	castro	castro	PROPN
ejpam-3410	17	5	[	[	X
ejpam-3410	17	6	8	8	NUM
ejpam-3410	17	7	]	]	PUNCT
ejpam-3410	17	8	proposed	propose	VERB
ejpam-3410	17	9	an	an	DET
ejpam-3410	17	10	alternative	alternative	NOUN
ejpam-3410	17	11	to	to	ADP
ejpam-3410	17	12	beta	beta	ADJ
ejpam-3410	17	13	−	−	PROPN
ejpam-3410	18	1	g	g	NOUN
ejpam-3410	19	1	family	family	NOUN
ejpam-3410	19	2	of	of	ADP
ejpam-3410	19	3	distributions	distribution	NOUN
ejpam-3410	19	4	by	by	ADP
ejpam-3410	19	5	using	use	VERB
ejpam-3410	19	6	kumaraswamy	kumaraswamy	ADJ
ejpam-3410	19	7	distribution	distribution	NOUN
ejpam-3410	19	8	in	in	ADP
ejpam-3410	19	9	place	place	NOUN
ejpam-3410	19	10	of	of	ADP
ejpam-3410	19	11	beta	beta	ADJ
ejpam-3410	19	12	distribution	distribution	NOUN
ejpam-3410	19	13	and	and	CCONJ
ejpam-3410	19	14	named	name	VERB
ejpam-3410	19	15	the	the	DET
ejpam-3410	19	16	family	family	NOUN
ejpam-3410	19	17	as	as	ADP
ejpam-3410	19	18	kum	kum	NOUN
ejpam-3410	19	19	−	−	PROPN
ejpam-3410	19	20	g	g	PROPN
ejpam-3410	19	21	family	family	NOUN
ejpam-3410	19	22	.	.	PUNCT
ejpam-3410	20	1	alzaatreh	alzaatreh	PROPN
ejpam-3410	20	2	et	et	PROPN
ejpam-3410	20	3	al	al	PROPN
ejpam-3410	20	4	.	.	PUNCT
ejpam-3410	21	1	[	[	X
ejpam-3410	21	2	3	3	X
ejpam-3410	21	3	]	]	PUNCT
ejpam-3410	21	4	have	have	AUX
ejpam-3410	21	5	developed	develop	VERB
ejpam-3410	21	6	a	a	DET
ejpam-3410	21	7	more	more	ADV
ejpam-3410	21	8	general	general	ADJ
ejpam-3410	21	9	method	method	NOUN
ejpam-3410	21	10	of	of	ADP
ejpam-3410	21	11	extending	extend	VERB
ejpam-3410	21	12	probability	probability	NOUN
ejpam-3410	21	13	distributions	distribution	NOUN
ejpam-3410	21	14	for	for	ADP
ejpam-3410	21	15	any	any	DET
ejpam-3410	21	16	∗corresponding	∗corresponde	VERB
ejpam-3410	21	17	author	author	NOUN
ejpam-3410	21	18	.	.	PUNCT
ejpam-3410	22	1	doi	doi	NOUN
ejpam-3410	22	2	:	:	PUNCT
ejpam-3410	22	3	https://doi.org/10.29020/nybg.ejpam.v12i3.3410	https://doi.org/10.29020/nybg.ejpam.v12i3.3410	ADJ
ejpam-3410	22	4	email	email	NOUN
ejpam-3410	22	5	addresses	address	NOUN
ejpam-3410	22	6	:	:	PUNCT
ejpam-3410	22	7	mmriu.stat@gmail.com	mmriu.stat@gmail.com	NOUN
ejpam-3410	22	8	(	(	PUNCT
ejpam-3410	22	9	m.	m.	NOUN
ejpam-3410	22	10	m.	m.	PROPN
ejpam-3410	22	11	rahman	rahman	PROPN
ejpam-3410	22	12	)	)	PUNCT
ejpam-3410	22	13	,	,	PUNCT
ejpam-3410	22	14	bmalzahrani@kau.edu.sa	bmalzahrani@kau.edu.sa	PROPN
ejpam-3410	22	15	(	(	PUNCT
ejpam-3410	22	16	b.	b.	PROPN
ejpam-3410	22	17	al	al	PROPN
ejpam-3410	22	18	-	-	PUNCT
ejpam-3410	22	19	zahrani	zahrani	PROPN
ejpam-3410	22	20	)	)	PUNCT
ejpam-3410	22	21	,	,	PUNCT
ejpam-3410	22	22	shmohamad2@kau.edu.sa	shmohamad2@kau.edu.sa	NOUN
ejpam-3410	22	23	(	(	PUNCT
ejpam-3410	22	24	s.	s.	PROPN
ejpam-3410	22	25	h.	h.	PROPN
ejpam-3410	22	26	shahbaz	shahbaz	PROPN
ejpam-3410	22	27	)	)	PUNCT
ejpam-3410	22	28	,	,	PUNCT
ejpam-3410	22	29	qshahbaz@gmail.com	qshahbaz@gmail.com	X
ejpam-3410	22	30	(	(	PUNCT
ejpam-3410	22	31	m.	m.	PROPN
ejpam-3410	22	32	q.	q.	PROPN
ejpam-3410	22	33	shahbaz	shahbaz	PROPN
ejpam-3410	22	34	)	)	PUNCT
ejpam-3410	22	35	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3410	23	1	1106	1106	NUM
ejpam-3410	23	2	c	c	X
ejpam-3410	23	3	©	©	PROPN
ejpam-3410	23	4	2019	2019	NUM
ejpam-3410	23	5	ejpam	ejpam	NOUN
ejpam-3410	23	6	all	all	DET
ejpam-3410	23	7	rights	right	NOUN
ejpam-3410	23	8	reserved	reserve	VERB
ejpam-3410	23	9	.	.	PUNCT
ejpam-3410	24	1	m.	m.	PROPN
ejpam-3410	24	2	q.	q.	PROPN
ejpam-3410	24	3	shahbaz	shahbaz	PROPN
ejpam-3410	24	4	et	et	PROPN
ejpam-3410	24	5	al	al	PROPN
ejpam-3410	24	6	.	.	PUNCT
ejpam-3410	24	7	/	/	SYM
ejpam-3410	24	8	eur	eur	PROPN
ejpam-3410	24	9	.	.	PUNCT
ejpam-3410	25	1	j.	j.	PROPN
ejpam-3410	25	2	pure	pure	PROPN
ejpam-3410	25	3	appl	appl	PROPN
ejpam-3410	25	4	.	.	PROPN
ejpam-3410	25	5	math	math	PROPN
ejpam-3410	25	6	,	,	PUNCT
ejpam-3410	25	7	12	12	NUM
ejpam-3410	25	8	(	(	PUNCT
ejpam-3410	25	9	3	3	NUM
ejpam-3410	25	10	)	)	PUNCT
ejpam-3410	25	11	(	(	PUNCT
ejpam-3410	25	12	2019	2019	NUM
ejpam-3410	25	13	)	)	PUNCT
ejpam-3410	25	14	,	,	PUNCT
ejpam-3410	25	15	1106	1106	NUM
ejpam-3410	25	16	-	-	SYM
ejpam-3410	25	17	1121	1121	NUM
ejpam-3410	25	18	1107	1107	NUM
ejpam-3410	25	19	baseline	baseline	NOUN
ejpam-3410	25	20	distribution	distribution	NOUN
ejpam-3410	25	21	and	and	CCONJ
ejpam-3410	25	22	named	name	VERB
ejpam-3410	25	23	the	the	DET
ejpam-3410	25	24	family	family	NOUN
ejpam-3410	25	25	as	as	ADP
ejpam-3410	25	26	t	t	PROPN
ejpam-3410	25	27	−	−	PROPN
ejpam-3410	25	28	x	x	SYM
ejpam-3410	25	29	family	family	NOUN
ejpam-3410	25	30	of	of	ADP
ejpam-3410	25	31	distributions	distribution	NOUN
ejpam-3410	25	32	.	.	PUNCT
ejpam-3410	26	1	shaw	shaw	PROPN
ejpam-3410	26	2	and	and	CCONJ
ejpam-3410	26	3	buckley	buckley	PROPN
ejpam-3410	26	4	[	[	X
ejpam-3410	26	5	16	16	NUM
ejpam-3410	26	6	]	]	PUNCT
ejpam-3410	26	7	introduced	introduce	VERB
ejpam-3410	26	8	transmuted	transmuted	ADJ
ejpam-3410	26	9	family	family	NOUN
ejpam-3410	26	10	of	of	ADP
ejpam-3410	26	11	distributions	distribution	NOUN
ejpam-3410	26	12	for	for	ADP
ejpam-3410	26	13	any	any	DET
ejpam-3410	26	14	baseline	baseline	ADJ
ejpam-3410	26	15	distribution	distribution	NOUN
ejpam-3410	26	16	and	and	CCONJ
ejpam-3410	26	17	has	have	AUX
ejpam-3410	26	18	cdf	cdf	PROPN
ejpam-3410	26	19	f	f	PROPN
ejpam-3410	26	20	(	(	PUNCT
ejpam-3410	26	21	x	x	NOUN
ejpam-3410	26	22	)	)	PUNCT
ejpam-3410	26	23	=	=	SYM
ejpam-3410	27	1	(	(	PUNCT
ejpam-3410	27	2	1	1	NUM
ejpam-3410	27	3	+	+	CCONJ
ejpam-3410	27	4	λ)g(x)−	λ)g(x)−	PROPN
ejpam-3410	27	5	λg2(x	λg2(x	PROPN
ejpam-3410	27	6	)	)	PUNCT
ejpam-3410	27	7	,	,	PUNCT
ejpam-3410	27	8	λ	λ	PROPN
ejpam-3410	27	9	∈	∈	PROPN
ejpam-3410	28	1	[	[	X
ejpam-3410	28	2	−1	−1	NOUN
ejpam-3410	28	3	,	,	PUNCT
ejpam-3410	28	4	1	1	NUM
ejpam-3410	28	5	]	]	PUNCT
ejpam-3410	28	6	(	(	PUNCT
ejpam-3410	28	7	1	1	X
ejpam-3410	28	8	)	)	PUNCT
ejpam-3410	28	9	the	the	DET
ejpam-3410	28	10	transmutation	transmutation	NOUN
ejpam-3410	28	11	approach	approach	NOUN
ejpam-3410	28	12	(	(	PUNCT
ejpam-3410	28	13	1	1	X
ejpam-3410	28	14	)	)	PUNCT
ejpam-3410	28	15	captures	capture	VERB
ejpam-3410	28	16	the	the	DET
ejpam-3410	28	17	quadratic	quadratic	ADJ
ejpam-3410	28	18	behavior	behavior	NOUN
ejpam-3410	28	19	in	in	ADP
ejpam-3410	28	20	the	the	DET
ejpam-3410	28	21	data	datum	NOUN
ejpam-3410	28	22	.	.	PUNCT
ejpam-3410	29	1	rahman	rahman	PROPN
ejpam-3410	29	2	et	et	PROPN
ejpam-3410	29	3	al	al	PROPN
ejpam-3410	29	4	.	.	PUNCT
ejpam-3410	30	1	[	[	X
ejpam-3410	30	2	13	13	NUM
ejpam-3410	30	3	,	,	PUNCT
ejpam-3410	30	4	14	14	NUM
ejpam-3410	30	5	]	]	PUNCT
ejpam-3410	30	6	have	have	AUX
ejpam-3410	30	7	extended	extend	VERB
ejpam-3410	30	8	the	the	DET
ejpam-3410	30	9	transmuted	transmuted	ADJ
ejpam-3410	30	10	family	family	NOUN
ejpam-3410	30	11	of	of	ADP
ejpam-3410	30	12	distributions	distribution	NOUN
ejpam-3410	30	13	,	,	PUNCT
ejpam-3410	30	14	given	give	VERB
ejpam-3410	30	15	in	in	ADP
ejpam-3410	30	16	(	(	PUNCT
ejpam-3410	30	17	1	1	NUM
ejpam-3410	30	18	)	)	PUNCT
ejpam-3410	30	19	,	,	PUNCT
ejpam-3410	30	20	by	by	ADP
ejpam-3410	30	21	introducing	introduce	VERB
ejpam-3410	30	22	two	two	NUM
ejpam-3410	30	23	cubic	cubic	ADJ
ejpam-3410	30	24	transmuted	transmuted	ADJ
ejpam-3410	30	25	families	family	NOUN
ejpam-3410	30	26	of	of	ADP
ejpam-3410	30	27	distributions	distribution	NOUN
ejpam-3410	30	28	for	for	ADP
ejpam-3410	30	29	any	any	DET
ejpam-3410	30	30	base	base	NOUN
ejpam-3410	30	31	distribution	distribution	NOUN
ejpam-3410	30	32	.	.	PUNCT
ejpam-3410	31	1	in	in	ADP
ejpam-3410	31	2	this	this	DET
ejpam-3410	31	3	article	article	NOUN
ejpam-3410	31	4	,	,	PUNCT
ejpam-3410	31	5	we	we	PRON
ejpam-3410	31	6	have	have	AUX
ejpam-3410	31	7	proposed	propose	VERB
ejpam-3410	31	8	a	a	DET
ejpam-3410	31	9	new	new	ADJ
ejpam-3410	31	10	cubic	cubic	ADJ
ejpam-3410	31	11	transmuted	transmute	VERB
ejpam-3410	31	12	family	family	NOUN
ejpam-3410	31	13	of	of	ADP
ejpam-3410	31	14	distributions	distribution	NOUN
ejpam-3410	31	15	and	and	CCONJ
ejpam-3410	31	16	have	have	AUX
ejpam-3410	31	17	linked	link	VERB
ejpam-3410	31	18	it	it	PRON
ejpam-3410	31	19	both	both	CCONJ
ejpam-3410	31	20	with	with	ADP
ejpam-3410	31	21	the	the	DET
ejpam-3410	31	22	distribution	distribution	NOUN
ejpam-3410	31	23	of	of	ADP
ejpam-3410	31	24	order	order	NOUN
ejpam-3410	31	25	statistics	statistic	NOUN
ejpam-3410	31	26	and	and	CCONJ
ejpam-3410	31	27	with	with	ADP
ejpam-3410	31	28	the	the	DET
ejpam-3410	31	29	t	t	PROPN
ejpam-3410	31	30	−x	−x	PROPN
ejpam-3410	31	31	family	family	NOUN
ejpam-3410	31	32	of	of	ADP
ejpam-3410	31	33	distributions	distribution	NOUN
ejpam-3410	31	34	.	.	PUNCT
ejpam-3410	32	1	the	the	DET
ejpam-3410	32	2	rest	rest	NOUN
ejpam-3410	32	3	of	of	ADP
ejpam-3410	32	4	the	the	DET
ejpam-3410	32	5	paper	paper	NOUN
ejpam-3410	32	6	is	be	AUX
ejpam-3410	32	7	organized	organize	VERB
ejpam-3410	32	8	as	as	SCONJ
ejpam-3410	32	9	follows	follow	VERB
ejpam-3410	32	10	:	:	PUNCT
ejpam-3410	32	11	the	the	DET
ejpam-3410	32	12	new	new	ADJ
ejpam-3410	32	13	family	family	NOUN
ejpam-3410	32	14	of	of	ADP
ejpam-3410	32	15	cubic	cubic	ADJ
ejpam-3410	32	16	transmuted	transmuted	ADJ
ejpam-3410	32	17	distributions	distribution	NOUN
ejpam-3410	32	18	is	be	AUX
ejpam-3410	32	19	proposed	propose	VERB
ejpam-3410	32	20	in	in	ADP
ejpam-3410	32	21	section	section	NOUN
ejpam-3410	32	22	2	2	NUM
ejpam-3410	32	23	.	.	PUNCT
ejpam-3410	33	1	in	in	ADP
ejpam-3410	33	2	section	section	NOUN
ejpam-3410	33	3	3	3	NUM
ejpam-3410	33	4	,	,	PUNCT
ejpam-3410	33	5	cubic	cubic	ADJ
ejpam-3410	33	6	transmuted	transmute	VERB
ejpam-3410	33	7	uniform	uniform	ADJ
ejpam-3410	33	8	distributions	distribution	NOUN
ejpam-3410	33	9	are	be	AUX
ejpam-3410	33	10	proposed	propose	VERB
ejpam-3410	33	11	by	by	ADP
ejpam-3410	33	12	using	use	VERB
ejpam-3410	33	13	existing	exist	VERB
ejpam-3410	33	14	families	family	NOUN
ejpam-3410	33	15	,	,	PUNCT
ejpam-3410	33	16	as	as	SCONJ
ejpam-3410	33	17	given	give	VERB
ejpam-3410	33	18	by	by	ADP
ejpam-3410	33	19	rahman	rahman	PROPN
ejpam-3410	33	20	et	et	PROPN
ejpam-3410	33	21	al	al	PROPN
ejpam-3410	33	22	.	.	PUNCT
ejpam-3410	34	1	[	[	X
ejpam-3410	34	2	13	13	NUM
ejpam-3410	34	3	,	,	PUNCT
ejpam-3410	34	4	14	14	NUM
ejpam-3410	34	5	]	]	PUNCT
ejpam-3410	34	6	,	,	PUNCT
ejpam-3410	34	7	and	and	CCONJ
ejpam-3410	34	8	by	by	ADP
ejpam-3410	34	9	using	use	VERB
ejpam-3410	34	10	a	a	DET
ejpam-3410	34	11	new	new	ADJ
ejpam-3410	34	12	family	family	NOUN
ejpam-3410	34	13	.	.	PUNCT
ejpam-3410	35	1	in	in	ADP
ejpam-3410	35	2	section	section	NOUN
ejpam-3410	35	3	4	4	NUM
ejpam-3410	35	4	,	,	PUNCT
ejpam-3410	35	5	statistical	statistical	ADJ
ejpam-3410	35	6	properties	property	NOUN
ejpam-3410	35	7	of	of	ADP
ejpam-3410	35	8	the	the	DET
ejpam-3410	35	9	cubic	cubic	ADJ
ejpam-3410	35	10	transmuted	transmuted	ADJ
ejpam-3410	35	11	uniform	uniform	ADJ
ejpam-3410	35	12	distribution	distribution	NOUN
ejpam-3410	35	13	,	,	PUNCT
ejpam-3410	35	14	obtained	obtain	VERB
ejpam-3410	35	15	by	by	ADP
ejpam-3410	35	16	using	use	VERB
ejpam-3410	35	17	the	the	DET
ejpam-3410	35	18	new	new	ADJ
ejpam-3410	35	19	family	family	NOUN
ejpam-3410	35	20	,	,	PUNCT
ejpam-3410	35	21	are	be	AUX
ejpam-3410	35	22	given	give	VERB
ejpam-3410	35	23	.	.	PUNCT
ejpam-3410	36	1	section	section	NOUN
ejpam-3410	36	2	5	5	NUM
ejpam-3410	36	3	provides	provide	VERB
ejpam-3410	36	4	distribution	distribution	NOUN
ejpam-3410	36	5	of	of	ADP
ejpam-3410	36	6	the	the	DET
ejpam-3410	36	7	order	order	NOUN
ejpam-3410	36	8	statistics	statistic	NOUN
ejpam-3410	36	9	and	and	CCONJ
ejpam-3410	36	10	the	the	DET
ejpam-3410	36	11	maximum	maximum	ADJ
ejpam-3410	36	12	likelihood	likelihood	NOUN
ejpam-3410	36	13	estimation	estimation	NOUN
ejpam-3410	36	14	is	be	AUX
ejpam-3410	36	15	given	give	VERB
ejpam-3410	36	16	in	in	ADP
ejpam-3410	36	17	section	section	NOUN
ejpam-3410	36	18	6	6	NUM
ejpam-3410	36	19	.	.	PUNCT
ejpam-3410	37	1	simulation	simulation	NOUN
ejpam-3410	37	2	study	study	NOUN
ejpam-3410	37	3	and	and	CCONJ
ejpam-3410	37	4	real	real	ADJ
ejpam-3410	37	5	-	-	PUNCT
ejpam-3410	37	6	life	life	NOUN
ejpam-3410	37	7	application	application	NOUN
ejpam-3410	37	8	are	be	AUX
ejpam-3410	37	9	presented	present	VERB
ejpam-3410	37	10	in	in	ADP
ejpam-3410	37	11	section	section	NOUN
ejpam-3410	37	12	7	7	NUM
ejpam-3410	37	13	.	.	PUNCT
ejpam-3410	38	1	the	the	DET
ejpam-3410	38	2	paper	paper	NOUN
ejpam-3410	38	3	ends	end	VERB
ejpam-3410	38	4	with	with	ADP
ejpam-3410	38	5	some	some	DET
ejpam-3410	38	6	concluding	concluding	NOUN
ejpam-3410	38	7	remarks	remark	NOUN
ejpam-3410	38	8	.	.	PUNCT
ejpam-3410	39	1	2	2	X
ejpam-3410	39	2	.	.	X
ejpam-3410	39	3	new	new	ADJ
ejpam-3410	39	4	cubic	cubic	ADJ
ejpam-3410	39	5	transmuted	transmute	VERB
ejpam-3410	39	6	family	family	NOUN
ejpam-3410	39	7	of	of	ADP
ejpam-3410	39	8	distributions	distribution	NOUN
ejpam-3410	39	9	in	in	ADP
ejpam-3410	39	10	this	this	DET
ejpam-3410	39	11	section	section	NOUN
ejpam-3410	39	12	,	,	PUNCT
ejpam-3410	39	13	we	we	PRON
ejpam-3410	39	14	will	will	AUX
ejpam-3410	39	15	propose	propose	VERB
ejpam-3410	39	16	a	a	DET
ejpam-3410	39	17	new	new	ADJ
ejpam-3410	39	18	cubic	cubic	ADJ
ejpam-3410	39	19	transmuted	transmute	VERB
ejpam-3410	39	20	family	family	NOUN
ejpam-3410	39	21	of	of	ADP
ejpam-3410	39	22	distributions	distribution	NOUN
ejpam-3410	39	23	.	.	PUNCT
ejpam-3410	40	1	the	the	DET
ejpam-3410	40	2	cdf	cdf	PROPN
ejpam-3410	40	3	of	of	ADP
ejpam-3410	40	4	new	new	ADJ
ejpam-3410	40	5	family	family	NOUN
ejpam-3410	40	6	of	of	ADP
ejpam-3410	40	7	distributions	distribution	NOUN
ejpam-3410	40	8	is	be	AUX
ejpam-3410	40	9	given	give	VERB
ejpam-3410	40	10	as	as	ADP
ejpam-3410	40	11	f	f	PROPN
ejpam-3410	40	12	(	(	PUNCT
ejpam-3410	40	13	x	x	NOUN
ejpam-3410	40	14	)	)	PUNCT
ejpam-3410	40	15	=	=	SYM
ejpam-3410	40	16	(	(	PUNCT
ejpam-3410	40	17	1−	1−	NUM
ejpam-3410	40	18	λ)g(x	λ)g(x	X
ejpam-3410	40	19	)	)	PUNCT
ejpam-3410	41	1	+	+	CCONJ
ejpam-3410	41	2	3λg2(x)−	3λg2(x)−	PROPN
ejpam-3410	41	3	2λg3(x	2λg3(x	NUM
ejpam-3410	41	4	)	)	PUNCT
ejpam-3410	41	5	,	,	PUNCT
ejpam-3410	41	6	x	x	PUNCT
ejpam-3410	41	7	∈	∈	PROPN
ejpam-3410	41	8	r	r	NOUN
ejpam-3410	41	9	,	,	PUNCT
ejpam-3410	41	10	(	(	PUNCT
ejpam-3410	41	11	2	2	NUM
ejpam-3410	41	12	)	)	PUNCT
ejpam-3410	41	13	with	with	ADP
ejpam-3410	41	14	corresponding	correspond	VERB
ejpam-3410	41	15	pdf	pdf	NOUN
ejpam-3410	41	16	f(x	f(x	PROPN
ejpam-3410	41	17	)	)	PUNCT
ejpam-3410	41	18	=	=	PUNCT
ejpam-3410	41	19	(	(	PUNCT
ejpam-3410	41	20	1−	1−	NUM
ejpam-3410	41	21	λ)g(x	λ)g(x	X
ejpam-3410	41	22	)	)	PUNCT
ejpam-3410	41	23	+	+	CCONJ
ejpam-3410	41	24	6λg(x)g(x)−	6λg(x)g(x)−	NUM
ejpam-3410	41	25	6λg2(x)g(x	6λg2(x)g(x	NUM
ejpam-3410	41	26	)	)	PUNCT
ejpam-3410	41	27	,	,	PUNCT
ejpam-3410	41	28	x	x	PUNCT
ejpam-3410	41	29	∈	∈	PROPN
ejpam-3410	41	30	r	r	NOUN
ejpam-3410	41	31	,	,	PUNCT
ejpam-3410	41	32	(	(	PUNCT
ejpam-3410	41	33	3	3	X
ejpam-3410	41	34	)	)	PUNCT
ejpam-3410	41	35	where	where	SCONJ
ejpam-3410	41	36	λ	λ	PROPN
ejpam-3410	41	37	∈	∈	PROPN
ejpam-3410	42	1	[	[	X
ejpam-3410	42	2	−1	−1	NOUN
ejpam-3410	42	3	,	,	PUNCT
ejpam-3410	42	4	1	1	NUM
ejpam-3410	42	5	]	]	PUNCT
ejpam-3410	42	6	.	.	PUNCT
ejpam-3410	43	1	the	the	DET
ejpam-3410	43	2	proposed	propose	VERB
ejpam-3410	43	3	family	family	NOUN
ejpam-3410	43	4	of	of	ADP
ejpam-3410	43	5	distributions	distribution	NOUN
ejpam-3410	43	6	provides	provide	VERB
ejpam-3410	43	7	the	the	DET
ejpam-3410	43	8	base	base	ADJ
ejpam-3410	43	9	distribution	distribution	NOUN
ejpam-3410	43	10	for	for	ADP
ejpam-3410	43	11	λ	λ	X
ejpam-3410	43	12	=	=	SYM
ejpam-3410	43	13	0	0	PROPN
ejpam-3410	43	14	.	.	PUNCT
ejpam-3410	44	1	the	the	DET
ejpam-3410	44	2	proposed	propose	VERB
ejpam-3410	44	3	cubic	cubic	ADJ
ejpam-3410	44	4	transmuted	transmute	VERB
ejpam-3410	44	5	family	family	NOUN
ejpam-3410	44	6	given	give	VERB
ejpam-3410	44	7	in	in	ADP
ejpam-3410	44	8	(	(	PUNCT
ejpam-3410	44	9	2	2	NUM
ejpam-3410	44	10	)	)	PUNCT
ejpam-3410	44	11	can	can	AUX
ejpam-3410	44	12	be	be	AUX
ejpam-3410	44	13	obtain	obtain	ADJ
ejpam-3410	44	14	as	as	ADP
ejpam-3410	44	15	the	the	DET
ejpam-3410	44	16	distribution	distribution	NOUN
ejpam-3410	44	17	of	of	ADP
ejpam-3410	44	18	order	order	NOUN
ejpam-3410	44	19	statistics	statistic	NOUN
ejpam-3410	44	20	and	and	CCONJ
ejpam-3410	44	21	as	as	ADP
ejpam-3410	44	22	a	a	DET
ejpam-3410	44	23	member	member	NOUN
ejpam-3410	44	24	of	of	ADP
ejpam-3410	44	25	t	t	PROPN
ejpam-3410	44	26	−x	−x	PROPN
ejpam-3410	44	27	family	family	NOUN
ejpam-3410	44	28	of	of	ADP
ejpam-3410	44	29	distributions	distribution	NOUN
ejpam-3410	44	30	.	.	PUNCT
ejpam-3410	45	1	we	we	PRON
ejpam-3410	45	2	will	will	AUX
ejpam-3410	45	3	obtain	obtain	VERB
ejpam-3410	45	4	the	the	DET
ejpam-3410	45	5	propose	propose	ADJ
ejpam-3410	45	6	family	family	NOUN
ejpam-3410	45	7	as	as	ADP
ejpam-3410	45	8	distribution	distribution	NOUN
ejpam-3410	45	9	of	of	ADP
ejpam-3410	45	10	order	order	NOUN
ejpam-3410	45	11	statistics	statistic	NOUN
ejpam-3410	45	12	and	and	CCONJ
ejpam-3410	45	13	as	as	ADP
ejpam-3410	45	14	a	a	DET
ejpam-3410	45	15	member	member	NOUN
ejpam-3410	45	16	of	of	ADP
ejpam-3410	45	17	t	t	PROPN
ejpam-3410	45	18	−x	−x	PROPN
ejpam-3410	45	19	family	family	NOUN
ejpam-3410	45	20	in	in	ADP
ejpam-3410	45	21	the	the	DET
ejpam-3410	45	22	following	follow	VERB
ejpam-3410	45	23	theorems	theorem	NOUN
ejpam-3410	45	24	.	.	PUNCT
ejpam-3410	46	1	theorem	theorem	NOUN
ejpam-3410	46	2	1	1	X
ejpam-3410	46	3	.	.	PUNCT
ejpam-3410	46	4	suppose	suppose	VERB
ejpam-3410	46	5	x1	x1	PROPN
ejpam-3410	46	6	,	,	PUNCT
ejpam-3410	46	7	x2	x2	PROPN
ejpam-3410	46	8	and	and	CCONJ
ejpam-3410	46	9	x3	x3	PROPN
ejpam-3410	46	10	be	be	VERB
ejpam-3410	46	11	the	the	DET
ejpam-3410	46	12	iid	iid	NOUN
ejpam-3410	46	13	random	random	ADJ
ejpam-3410	46	14	variables	variable	NOUN
ejpam-3410	46	15	each	each	PRON
ejpam-3410	46	16	with	with	ADP
ejpam-3410	46	17	cdf	cdf	PROPN
ejpam-3410	46	18	g(x	g(x	NOUN
ejpam-3410	46	19	)	)	PUNCT
ejpam-3410	46	20	,	,	PUNCT
ejpam-3410	46	21	then	then	ADV
ejpam-3410	46	22	the	the	DET
ejpam-3410	46	23	proposed	propose	VERB
ejpam-3410	46	24	cubic	cubic	ADJ
ejpam-3410	46	25	transmuted	transmute	VERB
ejpam-3410	46	26	family	family	NOUN
ejpam-3410	46	27	of	of	ADP
ejpam-3410	46	28	distributions	distribution	NOUN
ejpam-3410	46	29	given	give	VERB
ejpam-3410	46	30	in	in	ADP
ejpam-3410	46	31	(	(	PUNCT
ejpam-3410	46	32	2	2	NUM
ejpam-3410	46	33	)	)	PUNCT
ejpam-3410	46	34	can	can	AUX
ejpam-3410	46	35	be	be	AUX
ejpam-3410	46	36	obtained	obtain	VERB
ejpam-3410	46	37	as	as	ADP
ejpam-3410	46	38	a	a	DET
ejpam-3410	46	39	weighted	weighted	ADJ
ejpam-3410	46	40	sum	sum	NOUN
ejpam-3410	46	41	of	of	ADP
ejpam-3410	46	42	three	three	NUM
ejpam-3410	46	43	order	order	NOUN
ejpam-3410	46	44	statistics	statistic	NOUN
ejpam-3410	46	45	.	.	PUNCT
ejpam-3410	47	1	proof	proof	NOUN
ejpam-3410	47	2	.	.	PUNCT
ejpam-3410	48	1	consider	consider	VERB
ejpam-3410	48	2	following	follow	VERB
ejpam-3410	48	3	three	three	NUM
ejpam-3410	48	4	order	order	NOUN
ejpam-3410	48	5	statistics	statistic	NOUN
ejpam-3410	48	6	x(1	x(1	PROPN
ejpam-3410	48	7	)	)	PUNCT
ejpam-3410	49	1	=	=	PUNCT
ejpam-3410	49	2	min(x1	min(x1	PROPN
ejpam-3410	49	3	,	,	PUNCT
ejpam-3410	49	4	x2	x2	PROPN
ejpam-3410	49	5	,	,	PUNCT
ejpam-3410	49	6	x3	x3	ADJ
ejpam-3410	49	7	)	)	PUNCT
ejpam-3410	49	8	,	,	PUNCT
ejpam-3410	49	9	x(2	x(2	PROPN
ejpam-3410	49	10	)	)	PUNCT
ejpam-3410	49	11	and	and	CCONJ
ejpam-3410	49	12	x(3	x(3	PROPN
ejpam-3410	49	13	)	)	PUNCT
ejpam-3410	49	14	=	=	PUNCT
ejpam-3410	50	1	max(x1	max(x1	PROPN
ejpam-3410	50	2	,	,	PUNCT
ejpam-3410	50	3	x2	x2	PROPN
ejpam-3410	50	4	,	,	PUNCT
ejpam-3410	50	5	x3	x3	ADJ
ejpam-3410	50	6	)	)	PUNCT
ejpam-3410	50	7	.	.	PUNCT
ejpam-3410	51	1	m.	m.	PROPN
ejpam-3410	51	2	q.	q.	PROPN
ejpam-3410	51	3	shahbaz	shahbaz	PROPN
ejpam-3410	51	4	et	et	PROPN
ejpam-3410	51	5	al	al	PROPN
ejpam-3410	51	6	.	.	PUNCT
ejpam-3410	51	7	/	/	SYM
ejpam-3410	51	8	eur	eur	PROPN
ejpam-3410	51	9	.	.	PUNCT
ejpam-3410	52	1	j.	j.	PROPN
ejpam-3410	52	2	pure	pure	PROPN
ejpam-3410	52	3	appl	appl	PROPN
ejpam-3410	52	4	.	.	PROPN
ejpam-3410	52	5	math	math	PROPN
ejpam-3410	52	6	,	,	PUNCT
ejpam-3410	52	7	12	12	NUM
ejpam-3410	52	8	(	(	PUNCT
ejpam-3410	52	9	3	3	NUM
ejpam-3410	52	10	)	)	PUNCT
ejpam-3410	52	11	(	(	PUNCT
ejpam-3410	52	12	2019	2019	NUM
ejpam-3410	52	13	)	)	PUNCT
ejpam-3410	52	14	,	,	PUNCT
ejpam-3410	52	15	1106	1106	NUM
ejpam-3410	52	16	-	-	SYM
ejpam-3410	52	17	1121	1121	NUM
ejpam-3410	52	18	1108	1108	NUM
ejpam-3410	52	19	now	now	ADV
ejpam-3410	52	20	consider	consider	VERB
ejpam-3410	52	21	the	the	DET
ejpam-3410	52	22	random	random	ADJ
ejpam-3410	52	23	variable	variable	NOUN
ejpam-3410	52	24	z	z	NOUN
ejpam-3410	52	25	as	as	ADP
ejpam-3410	52	26	z	z	PROPN
ejpam-3410	52	27	d	d	PROPN
ejpam-3410	52	28	=	=	SYM
ejpam-3410	52	29	x(3	x(3	PROPN
ejpam-3410	52	30	)	)	PUNCT
ejpam-3410	52	31	,	,	PUNCT
ejpam-3410	52	32	with	with	ADP
ejpam-3410	52	33	probability	probability	NOUN
ejpam-3410	52	34	p1	p1	NOUN
ejpam-3410	52	35	,	,	PUNCT
ejpam-3410	52	36	z	z	NOUN
ejpam-3410	52	37	d	d	NOUN
ejpam-3410	52	38	=	=	SYM
ejpam-3410	52	39	x(2	x(2	PROPN
ejpam-3410	52	40	)	)	PUNCT
ejpam-3410	52	41	,	,	PUNCT
ejpam-3410	52	42	with	with	ADP
ejpam-3410	52	43	probability	probability	NOUN
ejpam-3410	52	44	p2	p2	NOUN
ejpam-3410	52	45	,	,	PUNCT
ejpam-3410	52	46	z	z	NOUN
ejpam-3410	52	47	d	d	NOUN
ejpam-3410	52	48	=	=	PUNCT
ejpam-3410	52	49	x(1	x(1	PROPN
ejpam-3410	52	50	)	)	PUNCT
ejpam-3410	52	51	,	,	PUNCT
ejpam-3410	52	52	with	with	ADP
ejpam-3410	52	53	probability	probability	NOUN
ejpam-3410	52	54	p3	p3	PROPN
ejpam-3410	52	55	,	,	PUNCT
ejpam-3410	52	56	where	where	SCONJ
ejpam-3410	52	57	p1	p1	NOUN
ejpam-3410	52	58	+	+	CCONJ
ejpam-3410	52	59	p2	p2	PROPN
ejpam-3410	52	60	+	+	CCONJ
ejpam-3410	52	61	p3	p3	NOUN
ejpam-3410	52	62	=	=	SYM
ejpam-3410	53	1	1	1	X
ejpam-3410	53	2	.	.	PUNCT
ejpam-3410	53	3	now	now	ADV
ejpam-3410	53	4	,	,	PUNCT
ejpam-3410	53	5	fz(x	fz(x	PROPN
ejpam-3410	53	6	)	)	PUNCT
ejpam-3410	53	7	is	be	AUX
ejpam-3410	53	8	given	give	VERB
ejpam-3410	53	9	as	as	ADP
ejpam-3410	53	10	fz(x	fz(x	NOUN
ejpam-3410	53	11	)	)	PUNCT
ejpam-3410	53	12	=	=	PUNCT
ejpam-3410	53	13	p1f(3)(x	p1f(3)(x	NOUN
ejpam-3410	53	14	)	)	PUNCT
ejpam-3410	53	15	+	+	PUNCT
ejpam-3410	53	16	p2f(2)(x	p2f(2)(x	PROPN
ejpam-3410	53	17	)	)	PUNCT
ejpam-3410	53	18	+	+	NUM
ejpam-3410	53	19	p3f(1)(x	p3f(1)(x	NOUN
ejpam-3410	53	20	)	)	PUNCT
ejpam-3410	53	21	=	=	PUNCT
ejpam-3410	53	22	(	(	PUNCT
ejpam-3410	53	23	3−	3−	NUM
ejpam-3410	53	24	3p1	3p1	NUM
ejpam-3410	53	25	−	−	PROPN
ejpam-3410	53	26	3p2)g(x)−	3p2)g(x)−	PROPN
ejpam-3410	53	27	(	(	PUNCT
ejpam-3410	53	28	3−	3−	NUM
ejpam-3410	53	29	3p1	3p1	NUM
ejpam-3410	53	30	−	−	ADP
ejpam-3410	53	31	6p2)g	6p2)g	NUM
ejpam-3410	53	32	2(x	2(x	NUM
ejpam-3410	53	33	)	)	PUNCT
ejpam-3410	54	1	+	+	CCONJ
ejpam-3410	54	2	(	(	PUNCT
ejpam-3410	54	3	1−	1−	NUM
ejpam-3410	54	4	3p2)g	3p2)g	NUM
ejpam-3410	54	5	3(x	3(x	NUM
ejpam-3410	54	6	)	)	PUNCT
ejpam-3410	54	7	.	.	PUNCT
ejpam-3410	55	1	(	(	PUNCT
ejpam-3410	55	2	4	4	X
ejpam-3410	55	3	)	)	PUNCT
ejpam-3410	55	4	now	now	ADV
ejpam-3410	55	5	setting	set	VERB
ejpam-3410	55	6	3p1	3p1	NUM
ejpam-3410	55	7	+	+	CCONJ
ejpam-3410	55	8	3p2	3p2	NUM
ejpam-3410	55	9	−	−	PROPN
ejpam-3410	55	10	2	2	NUM
ejpam-3410	55	11	=	=	SYM
ejpam-3410	55	12	λ	λ	NOUN
ejpam-3410	55	13	and	and	CCONJ
ejpam-3410	55	14	3p2	3p2	NUM
ejpam-3410	55	15	−	−	PROPN
ejpam-3410	55	16	1	1	NUM
ejpam-3410	55	17	=	=	SYM
ejpam-3410	55	18	2λ	2λ	NOUN
ejpam-3410	55	19	the	the	DET
ejpam-3410	55	20	distribution	distribution	NOUN
ejpam-3410	55	21	function	function	NOUN
ejpam-3410	55	22	given	give	VERB
ejpam-3410	55	23	in	in	ADP
ejpam-3410	55	24	(	(	PUNCT
ejpam-3410	55	25	4	4	NUM
ejpam-3410	55	26	)	)	PUNCT
ejpam-3410	55	27	corresponds	correspond	VERB
ejpam-3410	55	28	to	to	ADP
ejpam-3410	55	29	the	the	DET
ejpam-3410	55	30	cubic	cubic	ADJ
ejpam-3410	55	31	transmuted	transmuted	ADJ
ejpam-3410	55	32	family	family	NOUN
ejpam-3410	55	33	given	give	VERB
ejpam-3410	55	34	in	in	ADP
ejpam-3410	55	35	(	(	PUNCT
ejpam-3410	55	36	2	2	NUM
ejpam-3410	55	37	)	)	PUNCT
ejpam-3410	55	38	.	.	PUNCT
ejpam-3410	56	1	theorem	theorem	NOUN
ejpam-3410	56	2	2	2	NUM
ejpam-3410	56	3	.	.	PUNCT
ejpam-3410	57	1	let	let	VERB
ejpam-3410	57	2	a	a	DET
ejpam-3410	57	3	random	random	ADJ
ejpam-3410	57	4	variable	variable	NOUN
ejpam-3410	57	5	x	x	AUX
ejpam-3410	57	6	has	have	AUX
ejpam-3410	57	7	cdf	cdf	VERB
ejpam-3410	57	8	g(x	g(x	NOUN
ejpam-3410	57	9	)	)	PUNCT
ejpam-3410	57	10	and	and	CCONJ
ejpam-3410	57	11	p(t	p(t	NOUN
ejpam-3410	57	12	)	)	PUNCT
ejpam-3410	57	13	be	be	VERB
ejpam-3410	57	14	the	the	DET
ejpam-3410	57	15	pdf	pdf	NOUN
ejpam-3410	57	16	of	of	ADP
ejpam-3410	57	17	a	a	DET
ejpam-3410	57	18	bounded	bounded	ADJ
ejpam-3410	57	19	random	random	ADJ
ejpam-3410	57	20	variable	variable	NOUN
ejpam-3410	57	21	t	t	NOUN
ejpam-3410	57	22	with	with	ADP
ejpam-3410	57	23	support	support	NOUN
ejpam-3410	57	24	on	on	ADP
ejpam-3410	57	25	[	[	X
ejpam-3410	57	26	0,1	0,1	NUM
ejpam-3410	57	27	]	]	PUNCT
ejpam-3410	57	28	such	such	ADJ
ejpam-3410	57	29	that	that	DET
ejpam-3410	57	30	p(t	p(t	NOUN
ejpam-3410	57	31	)	)	PUNCT
ejpam-3410	58	1	can	can	AUX
ejpam-3410	58	2	be	be	AUX
ejpam-3410	58	3	written	write	VERB
ejpam-3410	58	4	as	as	ADP
ejpam-3410	58	5	weighted	weight	VERB
ejpam-3410	58	6	sum	sum	NOUN
ejpam-3410	58	7	of	of	ADP
ejpam-3410	58	8	three	three	NUM
ejpam-3410	58	9	bounded	bounded	ADJ
ejpam-3410	58	10	densities	density	NOUN
ejpam-3410	58	11	p1(t	p1(t	NOUN
ejpam-3410	58	12	)	)	PUNCT
ejpam-3410	58	13	,	,	PUNCT
ejpam-3410	58	14	p2(t	p2(t	PROPN
ejpam-3410	58	15	)	)	PUNCT
ejpam-3410	58	16	and	and	CCONJ
ejpam-3410	58	17	p3(t	p3(t	NOUN
ejpam-3410	58	18	)	)	PUNCT
ejpam-3410	58	19	each	each	PRON
ejpam-3410	58	20	with	with	ADP
ejpam-3410	58	21	support	support	NOUN
ejpam-3410	58	22	[	[	X
ejpam-3410	58	23	0,1	0,1	NUM
ejpam-3410	58	24	]	]	PUNCT
ejpam-3410	58	25	.	.	PUNCT
ejpam-3410	59	1	the	the	DET
ejpam-3410	59	2	cubic	cubic	ADJ
ejpam-3410	59	3	transmuted	transmuted	ADJ
ejpam-3410	59	4	family	family	NOUN
ejpam-3410	59	5	given	give	VERB
ejpam-3410	59	6	in	in	ADP
ejpam-3410	59	7	(	(	PUNCT
ejpam-3410	59	8	2	2	NUM
ejpam-3410	59	9	)	)	PUNCT
ejpam-3410	59	10	can	can	AUX
ejpam-3410	59	11	be	be	AUX
ejpam-3410	59	12	obtained	obtain	VERB
ejpam-3410	59	13	by	by	ADP
ejpam-3410	59	14	using	use	VERB
ejpam-3410	59	15	t	t	PROPN
ejpam-3410	59	16	−x	−x	PROPN
ejpam-3410	59	17	family	family	NOUN
ejpam-3410	59	18	,	,	PUNCT
ejpam-3410	59	19	introduced	introduce	VERB
ejpam-3410	59	20	by	by	ADP
ejpam-3410	59	21	alzaatreh	alzaatreh	NOUN
ejpam-3410	59	22	et	et	PROPN
ejpam-3410	59	23	al	al	PROPN
ejpam-3410	59	24	.	.	PUNCT
ejpam-3410	60	1	[	[	X
ejpam-3410	60	2	3	3	NUM
ejpam-3410	60	3	]	]	PUNCT
ejpam-3410	60	4	,	,	PUNCT
ejpam-3410	60	5	for	for	ADP
ejpam-3410	60	6	suitable	suitable	ADJ
ejpam-3410	60	7	choice	choice	NOUN
ejpam-3410	60	8	of	of	ADP
ejpam-3410	60	9	p1(t	p1(t	PROPN
ejpam-3410	60	10	)	)	PUNCT
ejpam-3410	60	11	,	,	PUNCT
ejpam-3410	60	12	p2(t	p2(t	PROPN
ejpam-3410	60	13	)	)	PUNCT
ejpam-3410	60	14	and	and	CCONJ
ejpam-3410	60	15	p3(t	p3(t	NOUN
ejpam-3410	60	16	)	)	PUNCT
ejpam-3410	60	17	.	.	PUNCT
ejpam-3410	61	1	proof	proof	NOUN
ejpam-3410	61	2	.	.	PUNCT
ejpam-3410	62	1	the	the	DET
ejpam-3410	62	2	cdf	cdf	PROPN
ejpam-3410	62	3	of	of	ADP
ejpam-3410	62	4	t	t	PROPN
ejpam-3410	62	5	−x	−x	PROPN
ejpam-3410	62	6	family	family	NOUN
ejpam-3410	62	7	of	of	ADP
ejpam-3410	62	8	distributions	distribution	NOUN
ejpam-3410	62	9	,	,	PUNCT
ejpam-3410	62	10	proposed	propose	VERB
ejpam-3410	62	11	by	by	ADP
ejpam-3410	62	12	alzaatreh	alzaatreh	NOUN
ejpam-3410	62	13	et	et	PROPN
ejpam-3410	62	14	al	al	PROPN
ejpam-3410	62	15	.	.	PUNCT
ejpam-3410	63	1	[	[	X
ejpam-3410	63	2	3	3	NUM
ejpam-3410	63	3	]	]	PUNCT
ejpam-3410	63	4	,	,	PUNCT
ejpam-3410	63	5	is	be	AUX
ejpam-3410	63	6	f	f	PROPN
ejpam-3410	63	7	(	(	PUNCT
ejpam-3410	63	8	x	x	X
ejpam-3410	63	9	)	)	PUNCT
ejpam-3410	63	10	=	=	SYM
ejpam-3410	63	11	∫	∫	PROPN
ejpam-3410	63	12	g(x	g(x	NOUN
ejpam-3410	63	13	)	)	PUNCT
ejpam-3410	63	14	0	0	NUM
ejpam-3410	63	15	p(t	p(t	NOUN
ejpam-3410	63	16	)	)	PUNCT
ejpam-3410	63	17	dt	dt	NOUN
ejpam-3410	63	18	,	,	PUNCT
ejpam-3410	63	19	x	x	PUNCT
ejpam-3410	63	20	∈	∈	PROPN
ejpam-3410	63	21	r	r	NOUN
ejpam-3410	63	22	,	,	PUNCT
ejpam-3410	63	23	(	(	PUNCT
ejpam-3410	63	24	5	5	NUM
ejpam-3410	63	25	)	)	PUNCT
ejpam-3410	63	26	where	where	SCONJ
ejpam-3410	63	27	p(t	p(t	NOUN
ejpam-3410	63	28	)	)	PUNCT
ejpam-3410	63	29	denotes	denote	VERB
ejpam-3410	63	30	a	a	DET
ejpam-3410	63	31	pdf	pdf	NOUN
ejpam-3410	63	32	with	with	ADP
ejpam-3410	63	33	support	support	NOUN
ejpam-3410	63	34	on	on	ADP
ejpam-3410	63	35	[	[	X
ejpam-3410	63	36	0	0	NUM
ejpam-3410	63	37	,	,	PUNCT
ejpam-3410	63	38	1	1	NUM
ejpam-3410	63	39	]	]	PUNCT
ejpam-3410	63	40	.	.	PUNCT
ejpam-3410	64	1	as	as	SCONJ
ejpam-3410	64	2	noticed	notice	VERB
ejpam-3410	64	3	by	by	ADP
ejpam-3410	64	4	alizadeh	alizadeh	PROPN
ejpam-3410	64	5	et	et	PROPN
ejpam-3410	64	6	al	al	PROPN
ejpam-3410	64	7	.	.	PUNCT
ejpam-3410	65	1	[	[	X
ejpam-3410	65	2	2	2	NUM
ejpam-3410	65	3	]	]	PUNCT
ejpam-3410	65	4	,	,	PUNCT
ejpam-3410	65	5	the	the	DET
ejpam-3410	65	6	cdf	cdf	PROPN
ejpam-3410	65	7	given	give	VERB
ejpam-3410	65	8	in	in	ADP
ejpam-3410	65	9	(	(	PUNCT
ejpam-3410	65	10	1	1	NUM
ejpam-3410	65	11	)	)	PUNCT
ejpam-3410	65	12	,	,	PUNCT
ejpam-3410	65	13	corresponds	correspond	VERB
ejpam-3410	65	14	to	to	ADP
ejpam-3410	65	15	the	the	DET
ejpam-3410	65	16	cdf	cdf	NOUN
ejpam-3410	65	17	given	give	VERB
ejpam-3410	65	18	by	by	ADP
ejpam-3410	65	19	(	(	PUNCT
ejpam-3410	65	20	5	5	NUM
ejpam-3410	65	21	)	)	PUNCT
ejpam-3410	65	22	for	for	ADP
ejpam-3410	65	23	the	the	DET
ejpam-3410	65	24	pdf	pdf	NOUN
ejpam-3410	65	25	p(t	p(t	NOUN
ejpam-3410	65	26	)	)	PUNCT
ejpam-3410	65	27	=	=	SYM
ejpam-3410	66	1	1	1	NUM
ejpam-3410	66	2	+	+	NUM
ejpam-3410	66	3	λ−	λ−	PROPN
ejpam-3410	66	4	2λt	2λt	NOUN
ejpam-3410	66	5	.	.	PUNCT
ejpam-3410	67	1	now	now	ADV
ejpam-3410	67	2	,	,	PUNCT
ejpam-3410	67	3	considering	consider	VERB
ejpam-3410	67	4	p(t	p(t	NOUN
ejpam-3410	67	5	)	)	PUNCT
ejpam-3410	67	6	=	=	PUNCT
ejpam-3410	67	7	(	(	PUNCT
ejpam-3410	67	8	1−	1−	NUM
ejpam-3410	67	9	λ)p1(t	λ)p1(t	PROPN
ejpam-3410	67	10	)	)	PUNCT
ejpam-3410	68	1	+	+	CCONJ
ejpam-3410	68	2	3λp2(t)−	3λp2(t)−	PROPN
ejpam-3410	68	3	2λp3(t	2λp3(t	NUM
ejpam-3410	68	4	)	)	PUNCT
ejpam-3410	68	5	,	,	PUNCT
ejpam-3410	68	6	(	(	PUNCT
ejpam-3410	68	7	6	6	NUM
ejpam-3410	68	8	)	)	PUNCT
ejpam-3410	68	9	where	where	SCONJ
ejpam-3410	68	10	p1(t	p1(t	X
ejpam-3410	68	11	)	)	PUNCT
ejpam-3410	68	12	=	=	SYM
ejpam-3410	68	13	1	1	NUM
ejpam-3410	68	14	,	,	PUNCT
ejpam-3410	68	15	p2(t	p2(t	NOUN
ejpam-3410	68	16	)	)	PUNCT
ejpam-3410	68	17	=	=	SYM
ejpam-3410	68	18	2	2	NUM
ejpam-3410	68	19	t	t	NOUN
ejpam-3410	68	20	and	and	CCONJ
ejpam-3410	68	21	p3(t	p3(t	PROPN
ejpam-3410	68	22	)	)	PUNCT
ejpam-3410	68	23	=	=	SYM
ejpam-3410	68	24	3t2	3t2	NUM
ejpam-3410	68	25	,	,	PUNCT
ejpam-3410	68	26	each	each	PRON
ejpam-3410	68	27	having	have	VERB
ejpam-3410	68	28	support	support	NOUN
ejpam-3410	68	29	of	of	ADP
ejpam-3410	68	30	[	[	X
ejpam-3410	68	31	0	0	NUM
ejpam-3410	68	32	,	,	PUNCT
ejpam-3410	68	33	1	1	NUM
ejpam-3410	68	34	]	]	PUNCT
ejpam-3410	68	35	and	and	CCONJ
ejpam-3410	68	36	using	use	VERB
ejpam-3410	68	37	(	(	PUNCT
ejpam-3410	68	38	6	6	NUM
ejpam-3410	68	39	)	)	PUNCT
ejpam-3410	68	40	in	in	ADP
ejpam-3410	68	41	(	(	PUNCT
ejpam-3410	68	42	5	5	X
ejpam-3410	68	43	)	)	PUNCT
ejpam-3410	68	44	we	we	PRON
ejpam-3410	68	45	have	have	VERB
ejpam-3410	68	46	f	f	PROPN
ejpam-3410	68	47	(	(	PUNCT
ejpam-3410	68	48	x	x	NOUN
ejpam-3410	68	49	)	)	PUNCT
ejpam-3410	68	50	=	=	SYM
ejpam-3410	68	51	∫	∫	PROPN
ejpam-3410	68	52	g(x	g(x	NOUN
ejpam-3410	68	53	)	)	PUNCT
ejpam-3410	68	54	0	0	PUNCT
ejpam-3410	69	1	[	[	X
ejpam-3410	69	2	(	(	PUNCT
ejpam-3410	69	3	1−	1−	NUM
ejpam-3410	69	4	λ)p1(t	λ)p1(t	PROPN
ejpam-3410	69	5	)	)	PUNCT
ejpam-3410	69	6	+	+	CCONJ
ejpam-3410	70	1	3λp2(t)−	3λp2(t)−	NUM
ejpam-3410	70	2	2λp3(t	2λp3(t	NUM
ejpam-3410	70	3	)	)	PUNCT
ejpam-3410	70	4	]	]	PUNCT
ejpam-3410	71	1	dt	dt	X
ejpam-3410	71	2	.	.	PUNCT
ejpam-3410	72	1	(	(	PUNCT
ejpam-3410	72	2	7	7	X
ejpam-3410	72	3	)	)	PUNCT
ejpam-3410	72	4	on	on	ADP
ejpam-3410	72	5	simplification	simplification	NOUN
ejpam-3410	72	6	,	,	PUNCT
ejpam-3410	72	7	the	the	DET
ejpam-3410	72	8	cdf	cdf	PROPN
ejpam-3410	72	9	given	give	VERB
ejpam-3410	72	10	in	in	ADP
ejpam-3410	72	11	(	(	PUNCT
ejpam-3410	72	12	7	7	NUM
ejpam-3410	72	13	)	)	PUNCT
ejpam-3410	72	14	,	,	PUNCT
ejpam-3410	72	15	turned	turn	VERB
ejpam-3410	72	16	out	out	ADP
ejpam-3410	72	17	to	to	PART
ejpam-3410	72	18	be	be	AUX
ejpam-3410	72	19	the	the	DET
ejpam-3410	72	20	cdf	cdf	PROPN
ejpam-3410	72	21	of	of	ADP
ejpam-3410	72	22	cubic	cubic	ADJ
ejpam-3410	72	23	transmuted	transmuted	ADJ
ejpam-3410	72	24	family	family	NOUN
ejpam-3410	72	25	of	of	ADP
ejpam-3410	72	26	distributions	distribution	NOUN
ejpam-3410	72	27	given	give	VERB
ejpam-3410	72	28	in	in	ADP
ejpam-3410	72	29	(	(	PUNCT
ejpam-3410	72	30	2	2	NUM
ejpam-3410	72	31	)	)	PUNCT
ejpam-3410	72	32	.	.	PUNCT
ejpam-3410	73	1	some	some	DET
ejpam-3410	73	2	cubic	cubic	ADJ
ejpam-3410	73	3	transmuted	transmute	VERB
ejpam-3410	73	4	distributions	distribution	NOUN
ejpam-3410	73	5	are	be	AUX
ejpam-3410	73	6	given	give	VERB
ejpam-3410	73	7	in	in	ADP
ejpam-3410	73	8	the	the	DET
ejpam-3410	73	9	table	table	NOUN
ejpam-3410	73	10	1	1	NUM
ejpam-3410	73	11	by	by	ADP
ejpam-3410	73	12	using	use	VERB
ejpam-3410	73	13	different	different	ADJ
ejpam-3410	73	14	base	base	NOUN
ejpam-3410	73	15	distributions	distribution	NOUN
ejpam-3410	73	16	in	in	ADP
ejpam-3410	73	17	the	the	DET
ejpam-3410	73	18	proposed	propose	VERB
ejpam-3410	73	19	cubic	cubic	ADJ
ejpam-3410	73	20	transmuted	transmute	VERB
ejpam-3410	73	21	family	family	NOUN
ejpam-3410	73	22	of	of	ADP
ejpam-3410	73	23	distributions	distribution	NOUN
ejpam-3410	73	24	given	give	VERB
ejpam-3410	73	25	in	in	ADP
ejpam-3410	73	26	(	(	PUNCT
ejpam-3410	73	27	2	2	NUM
ejpam-3410	73	28	)	)	PUNCT
ejpam-3410	73	29	.	.	PUNCT
ejpam-3410	74	1	we	we	PRON
ejpam-3410	74	2	will	will	AUX
ejpam-3410	74	3	now	now	ADV
ejpam-3410	74	4	propose	propose	VERB
ejpam-3410	74	5	some	some	DET
ejpam-3410	74	6	ctu	ctu	NOUN
ejpam-3410	74	7	distributions	distribution	NOUN
ejpam-3410	74	8	by	by	ADP
ejpam-3410	74	9	using	use	VERB
ejpam-3410	74	10	the	the	DET
ejpam-3410	74	11	cubic	cubic	ADJ
ejpam-3410	74	12	transmuted	transmuted	ADJ
ejpam-3410	74	13	families	family	NOUN
ejpam-3410	74	14	proposed	propose	VERB
ejpam-3410	74	15	by	by	ADP
ejpam-3410	74	16	rahman	rahman	PROPN
ejpam-3410	74	17	et	et	PROPN
ejpam-3410	74	18	al	al	PROPN
ejpam-3410	74	19	.	.	PUNCT
ejpam-3410	75	1	[	[	X
ejpam-3410	75	2	13	13	NUM
ejpam-3410	75	3	,	,	PUNCT
ejpam-3410	75	4	14	14	NUM
ejpam-3410	75	5	]	]	PUNCT
ejpam-3410	75	6	and	and	CCONJ
ejpam-3410	75	7	by	by	ADP
ejpam-3410	75	8	using	use	VERB
ejpam-3410	75	9	(	(	PUNCT
ejpam-3410	75	10	2	2	NUM
ejpam-3410	75	11	)	)	PUNCT
ejpam-3410	75	12	.	.	PUNCT
ejpam-3410	76	1	these	these	DET
ejpam-3410	76	2	distributions	distribution	NOUN
ejpam-3410	76	3	are	be	AUX
ejpam-3410	76	4	obtained	obtain	VERB
ejpam-3410	76	5	in	in	ADP
ejpam-3410	76	6	the	the	DET
ejpam-3410	76	7	following	follow	VERB
ejpam-3410	76	8	section	section	NOUN
ejpam-3410	76	9	.	.	PUNCT
ejpam-3410	77	1	m.	m.	PROPN
ejpam-3410	77	2	q.	q.	PROPN
ejpam-3410	77	3	shahbaz	shahbaz	PROPN
ejpam-3410	77	4	et	et	PROPN
ejpam-3410	77	5	al	al	PROPN
ejpam-3410	77	6	.	.	PUNCT
ejpam-3410	77	7	/	/	SYM
ejpam-3410	77	8	eur	eur	PROPN
ejpam-3410	77	9	.	.	PUNCT
ejpam-3410	78	1	j.	j.	PROPN
ejpam-3410	78	2	pure	pure	PROPN
ejpam-3410	78	3	appl	appl	PROPN
ejpam-3410	78	4	.	.	PROPN
ejpam-3410	78	5	math	math	PROPN
ejpam-3410	78	6	,	,	PUNCT
ejpam-3410	78	7	12	12	NUM
ejpam-3410	78	8	(	(	PUNCT
ejpam-3410	78	9	3	3	NUM
ejpam-3410	78	10	)	)	PUNCT
ejpam-3410	78	11	(	(	PUNCT
ejpam-3410	78	12	2019	2019	NUM
ejpam-3410	78	13	)	)	PUNCT
ejpam-3410	78	14	,	,	PUNCT
ejpam-3410	78	15	1106	1106	NUM
ejpam-3410	78	16	-	-	SYM
ejpam-3410	78	17	1121	1121	NUM
ejpam-3410	78	18	1109	1109	NUM
ejpam-3410	78	19	table	table	NOUN
ejpam-3410	78	20	1	1	NUM
ejpam-3410	78	21	:	:	PUNCT
ejpam-3410	78	22	special	special	ADJ
ejpam-3410	78	23	cases	case	NOUN
ejpam-3410	78	24	of	of	ADP
ejpam-3410	78	25	proposed	propose	VERB
ejpam-3410	78	26	cubic	cubic	ADJ
ejpam-3410	78	27	transmuted	transmute	VERB
ejpam-3410	78	28	family	family	NOUN
ejpam-3410	78	29	of	of	ADP
ejpam-3410	78	30	distributions	distribution	NOUN
ejpam-3410	78	31	.	.	PUNCT
ejpam-3410	79	1	distribution	distribution	NOUN
ejpam-3410	79	2	cumulative	cumulative	ADJ
ejpam-3410	79	3	distribution	distribution	NOUN
ejpam-3410	79	4	function	function	NOUN
ejpam-3410	79	5	ct	ct	NOUN
ejpam-3410	79	6	-	-	PUNCT
ejpam-3410	79	7	normal	normal	ADJ
ejpam-3410	79	8	(	(	PUNCT
ejpam-3410	79	9	1−	1−	NUM
ejpam-3410	79	10	λ)φ(x	λ)φ(x	NUM
ejpam-3410	79	11	)	)	PUNCT
ejpam-3410	80	1	+	+	CCONJ
ejpam-3410	80	2	3λφ2(x)−	3λφ2(x)−	PROPN
ejpam-3410	80	3	2λφ3(x	2λφ3(x	NUM
ejpam-3410	80	4	)	)	PUNCT
ejpam-3410	80	5	,	,	PUNCT
ejpam-3410	80	6	x	x	PUNCT
ejpam-3410	80	7	∈	∈	PROPN
ejpam-3410	80	8	r	r	NOUN
ejpam-3410	80	9	ct	ct	NOUN
ejpam-3410	80	10	-	-	NOUN
ejpam-3410	80	11	exponential	exponential	NOUN
ejpam-3410	80	12	e−	e−	PROPN
ejpam-3410	80	13	3x	3x	NUM
ejpam-3410	80	14	θ	θ	PROPN
ejpam-3410	81	1	[	[	PUNCT
ejpam-3410	81	2	2λ+	2λ+	NUM
ejpam-3410	81	3	(	(	PUNCT
ejpam-3410	81	4	λ−	λ−	PROPN
ejpam-3410	81	5	1)e	1)e	NUM
ejpam-3410	81	6	2x	2x	NUM
ejpam-3410	81	7	θ	θ	NOUN
ejpam-3410	81	8	−	−	NOUN
ejpam-3410	81	9	3λex	3λex	ADJ
ejpam-3410	81	10	/	/	SYM
ejpam-3410	81	11	θ	θ	NOUN
ejpam-3410	81	12	]	]	PUNCT
ejpam-3410	82	1	+	+	CCONJ
ejpam-3410	82	2	1	1	NUM
ejpam-3410	82	3	,	,	PUNCT
ejpam-3410	82	4	x	x	SYM
ejpam-3410	82	5	∈	∈	PROPN
ejpam-3410	83	1	[	[	X
ejpam-3410	83	2	0,∞	0,∞	NUM
ejpam-3410	83	3	)	)	PUNCT
ejpam-3410	83	4	ct	ct	PROPN
ejpam-3410	83	5	-	-	PUNCT
ejpam-3410	83	6	rayleigh	rayleigh	NOUN
ejpam-3410	83	7	e−	e−	PROPN
ejpam-3410	83	8	3x2	3x2	NUM
ejpam-3410	83	9	2σ2	2σ2	NUM
ejpam-3410	83	10	[	[	PUNCT
ejpam-3410	83	11	(	(	PUNCT
ejpam-3410	83	12	λ−	λ−	PROPN
ejpam-3410	83	13	1)e	1)e	NUM
ejpam-3410	83	14	x2	x2	PROPN
ejpam-3410	83	15	σ2	σ2	PROPN
ejpam-3410	83	16	−	−	PROPN
ejpam-3410	83	17	3λe	3λe	ADJ
ejpam-3410	83	18	x2	x2	PROPN
ejpam-3410	83	19	2σ2	2σ2	NUM
ejpam-3410	84	1	+	+	CCONJ
ejpam-3410	84	2	2λ	2λ	NOUN
ejpam-3410	84	3	]	]	X
ejpam-3410	85	1	+	+	PUNCT
ejpam-3410	85	2	1	1	NUM
ejpam-3410	85	3	,	,	PUNCT
ejpam-3410	85	4	x	x	SYM
ejpam-3410	85	5	∈	∈	PROPN
ejpam-3410	86	1	[	[	X
ejpam-3410	86	2	0,∞	0,∞	NUM
ejpam-3410	86	3	)	)	PUNCT
ejpam-3410	86	4	ct	ct	PROPN
ejpam-3410	86	5	-	-	PUNCT
ejpam-3410	86	6	weibull	weibull	PROPN
ejpam-3410	86	7	[	[	PUNCT
ejpam-3410	86	8	(	(	PUNCT
ejpam-3410	86	9	λ−	λ−	PROPN
ejpam-3410	86	10	1)e2	1)e2	PROPN
ejpam-3410	86	11	(	(	PUNCT
ejpam-3410	86	12	x	x	PART
ejpam-3410	86	13	λ	λ	NOUN
ejpam-3410	86	14	)	)	PUNCT
ejpam-3410	87	1	k	k	NOUN
ejpam-3410	87	2	−	−	PROPN
ejpam-3410	87	3	3λe	3λe	ADJ
ejpam-3410	87	4	(	(	PUNCT
ejpam-3410	87	5	x	x	SYM
ejpam-3410	87	6	λ	λ	NOUN
ejpam-3410	87	7	)	)	PUNCT
ejpam-3410	87	8	k	k	PROPN
ejpam-3410	88	1	+	+	NUM
ejpam-3410	88	2	2λ	2λ	X
ejpam-3410	88	3	]	]	X
ejpam-3410	89	1	e−3	e−3	X
ejpam-3410	89	2	(	(	PUNCT
ejpam-3410	89	3	x	x	SYM
ejpam-3410	89	4	λ	λ	NOUN
ejpam-3410	89	5	)	)	PUNCT
ejpam-3410	89	6	k	k	PROPN
ejpam-3410	90	1	+	+	PUNCT
ejpam-3410	90	2	1	1	NUM
ejpam-3410	90	3	,	,	PUNCT
ejpam-3410	90	4	x	x	SYM
ejpam-3410	90	5	∈	∈	PROPN
ejpam-3410	91	1	[	[	X
ejpam-3410	91	2	0,∞	0,∞	NUM
ejpam-3410	91	3	)	)	PUNCT
ejpam-3410	91	4	ct	ct	PROPN
ejpam-3410	91	5	-	-	PUNCT
ejpam-3410	91	6	gompertz	gompertz	PROPN
ejpam-3410	91	7	(	(	PUNCT
ejpam-3410	91	8	λ−	λ−	PROPN
ejpam-3410	91	9	1)eη−ηe	1)eη−ηe	NUM
ejpam-3410	91	10	bx	bx	NOUN
ejpam-3410	91	11	+	+	CCONJ
ejpam-3410	91	12	λe−3η(e	λe−3η(e	PUNCT
ejpam-3410	91	13	bx−1	bx−1	NOUN
ejpam-3410	91	14	)	)	PUNCT
ejpam-3410	91	15	[	[	PUNCT
ejpam-3410	91	16	2−	2−	NUM
ejpam-3410	91	17	3eη(e	3eη(e	NUM
ejpam-3410	91	18	bx−1	bx−1	PROPN
ejpam-3410	91	19	)	)	PUNCT
ejpam-3410	91	20	]	]	PUNCT
ejpam-3410	92	1	+	+	PUNCT
ejpam-3410	92	2	1	1	NUM
ejpam-3410	92	3	,	,	PUNCT
ejpam-3410	92	4	x	x	SYM
ejpam-3410	92	5	∈	∈	PROPN
ejpam-3410	93	1	[	[	X
ejpam-3410	93	2	0,∞	0,∞	NUM
ejpam-3410	93	3	)	)	PUNCT
ejpam-3410	93	4	ct	ct	NOUN
ejpam-3410	93	5	-	-	PUNCT
ejpam-3410	93	6	kumaraswamy	kumaraswamy	NOUN
ejpam-3410	93	7	[	[	PUNCT
ejpam-3410	93	8	(	(	PUNCT
ejpam-3410	93	9	1−	1−	NUM
ejpam-3410	93	10	xa)b	xa)b	NOUN
ejpam-3410	93	11	−	−	PROPN
ejpam-3410	94	1	1	1	NUM
ejpam-3410	94	2	]	]	PUNCT
ejpam-3410	94	3	[	[	PUNCT
ejpam-3410	94	4	λ	λ	X
ejpam-3410	94	5	(	(	PUNCT
ejpam-3410	94	6	1−	1−	NUM
ejpam-3410	94	7	xa)b	xa)b	PROPN
ejpam-3410	94	8	{	{	PUNCT
ejpam-3410	94	9	2	2	NUM
ejpam-3410	94	10	(	(	PUNCT
ejpam-3410	94	11	1−	1−	NUM
ejpam-3410	94	12	xa)b	xa)b	NOUN
ejpam-3410	94	13	−	−	PROPN
ejpam-3410	94	14	1	1	NUM
ejpam-3410	94	15	}	}	PUNCT
ejpam-3410	94	16	−	−	PROPN
ejpam-3410	94	17	1	1	NUM
ejpam-3410	94	18	]	]	PUNCT
ejpam-3410	94	19	,	,	PUNCT
ejpam-3410	94	20	x	x	PUNCT
ejpam-3410	94	21	∈	∈	PROPN
ejpam-3410	95	1	[	[	X
ejpam-3410	95	2	0	0	NUM
ejpam-3410	95	3	,	,	PUNCT
ejpam-3410	95	4	1	1	NUM
ejpam-3410	95	5	]	]	X
ejpam-3410	95	6	ct	ct	PROPN
ejpam-3410	95	7	-	-	PUNCT
ejpam-3410	95	8	log	log	NOUN
ejpam-3410	95	9	-	-	PUNCT
ejpam-3410	95	10	logistic	logistic	NOUN
ejpam-3410	95	11	xβ	xβ	NOUN
ejpam-3410	95	12	(	(	PUNCT
ejpam-3410	95	13	αβ+xβ	αβ+xβ	NOUN
ejpam-3410	95	14	)	)	PUNCT
ejpam-3410	95	15	3	3	NUM
ejpam-3410	95	16	[	[	PUNCT
ejpam-3410	95	17	(	(	PUNCT
ejpam-3410	95	18	1−	1−	NUM
ejpam-3410	95	19	λ)α2β	λ)α2β	NOUN
ejpam-3410	95	20	+	+	X
ejpam-3410	95	21	x2β	x2β	PUNCT
ejpam-3410	96	1	+	+	CCONJ
ejpam-3410	96	2	(	(	PUNCT
ejpam-3410	96	3	λ+	λ+	NUM
ejpam-3410	96	4	2)αβxβ	2)αβxβ	NUM
ejpam-3410	96	5	]	]	PUNCT
ejpam-3410	96	6	,	,	PUNCT
ejpam-3410	96	7	x	x	PUNCT
ejpam-3410	96	8	∈	∈	PROPN
ejpam-3410	97	1	[	[	X
ejpam-3410	97	2	0,∞	0,∞	NUM
ejpam-3410	97	3	)	)	PUNCT
ejpam-3410	97	4	ct	ct	PROPN
ejpam-3410	97	5	-	-	PUNCT
ejpam-3410	97	6	pareto	pareto	NOUN
ejpam-3410	98	1	[	[	X
ejpam-3410	98	2	(	(	PUNCT
ejpam-3410	98	3	k	k	NOUN
ejpam-3410	98	4	x	x	X
ejpam-3410	98	5	)	)	PUNCT
ejpam-3410	98	6	θ	θ	NOUN
ejpam-3410	98	7	−	−	PROPN
ejpam-3410	98	8	1	1	NUM
ejpam-3410	98	9	]	]	PUNCT
ejpam-3410	98	10	[	[	PUNCT
ejpam-3410	98	11	λ	λ	X
ejpam-3410	98	12	{	{	PUNCT
ejpam-3410	98	13	2	2	NUM
ejpam-3410	98	14	(	(	PUNCT
ejpam-3410	98	15	k	k	NOUN
ejpam-3410	98	16	x	x	PROPN
ejpam-3410	98	17	)	)	PUNCT
ejpam-3410	98	18	θ	θ	NOUN
ejpam-3410	98	19	−	−	PROPN
ejpam-3410	98	20	1	1	NUM
ejpam-3410	98	21	}	}	PUNCT
ejpam-3410	98	22	(	(	PUNCT
ejpam-3410	98	23	k	k	NOUN
ejpam-3410	98	24	x	x	X
ejpam-3410	98	25	)	)	PUNCT
ejpam-3410	98	26	θ	θ	NOUN
ejpam-3410	98	27	−	−	PROPN
ejpam-3410	98	28	1	1	NUM
ejpam-3410	98	29	]	]	PUNCT
ejpam-3410	98	30	,	,	PUNCT
ejpam-3410	98	31	x	x	PUNCT
ejpam-3410	98	32	∈	∈	PROPN
ejpam-3410	98	33	[	[	X
ejpam-3410	98	34	k,∞	k,∞	NOUN
ejpam-3410	98	35	)	)	PUNCT
ejpam-3410	98	36	ct	ct	NOUN
ejpam-3410	98	37	-	-	PUNCT
ejpam-3410	98	38	dagum	dagum	NOUN
ejpam-3410	98	39	[	[	PUNCT
ejpam-3410	98	40	3λ	3λ	NUM
ejpam-3410	98	41	{	{	PUNCT
ejpam-3410	98	42	(	(	PUNCT
ejpam-3410	98	43	xb	xb	X
ejpam-3410	98	44	)	)	PUNCT
ejpam-3410	98	45	−a	−a	VERB
ejpam-3410	99	1	+1	+1	NOUN
ejpam-3410	99	2	}	}	PUNCT
ejpam-3410	99	3	p	p	NOUN
ejpam-3410	99	4	−(λ−1	−(λ−1	NOUN
ejpam-3410	99	5	)	)	PUNCT
ejpam-3410	99	6	{	{	PUNCT
ejpam-3410	99	7	(	(	PUNCT
ejpam-3410	99	8	xb	xb	X
ejpam-3410	99	9	)	)	PUNCT
ejpam-3410	99	10	−a	−a	VERB
ejpam-3410	100	1	+1	+1	ADJ
ejpam-3410	100	2	}	}	PUNCT
ejpam-3410	100	3	2p	2p	NUM
ejpam-3410	100	4	−2λ	−2λ	PROPN
ejpam-3410	100	5	]	]	PUNCT
ejpam-3410	100	6	[	[	PUNCT
ejpam-3410	100	7	(	(	PUNCT
ejpam-3410	100	8	xb	xb	X
ejpam-3410	100	9	)	)	PUNCT
ejpam-3410	100	10	−a	−a	VERB
ejpam-3410	101	1	+1	+1	X
ejpam-3410	101	2	]	]	PUNCT
ejpam-3410	101	3	3p	3p	NUM
ejpam-3410	101	4	,	,	PUNCT
ejpam-3410	101	5	x	x	PUNCT
ejpam-3410	101	6	∈	∈	NOUN
ejpam-3410	101	7	r+	r+	PUNCT
ejpam-3410	101	8	ct	ct	NOUN
ejpam-3410	101	9	-	-	PUNCT
ejpam-3410	101	10	burr	burr	NOUN
ejpam-3410	101	11	xii	xii	NOUN
ejpam-3410	102	1	[	[	X
ejpam-3410	102	2	(	(	PUNCT
ejpam-3410	102	3	xc+1)k−1][λ{(xc+1)k−2}+(xc+1)2k	xc+1)k−1][λ{(xc+1)k−2}+(xc+1)2k	PROPN
ejpam-3410	102	4	]	]	X
ejpam-3410	102	5	(	(	PUNCT
ejpam-3410	102	6	xc+1)3k	xc+1)3k	PROPN
ejpam-3410	102	7	,	,	PUNCT
ejpam-3410	102	8	x	x	PUNCT
ejpam-3410	102	9	∈	∈	NOUN
ejpam-3410	102	10	r+	r+	PUNCT
ejpam-3410	102	11	3	3	X
ejpam-3410	102	12	.	.	X
ejpam-3410	102	13	cubic	cubic	ADJ
ejpam-3410	102	14	transmuted	transmute	VERB
ejpam-3410	102	15	uniform	uniform	NOUN
ejpam-3410	102	16	distributions	distribution	NOUN
ejpam-3410	102	17	the	the	DET
ejpam-3410	102	18	uniform	uniform	ADJ
ejpam-3410	102	19	distribution	distribution	NOUN
ejpam-3410	102	20	is	be	AUX
ejpam-3410	102	21	a	a	DET
ejpam-3410	102	22	useful	useful	ADJ
ejpam-3410	102	23	distribution	distribution	NOUN
ejpam-3410	102	24	and	and	CCONJ
ejpam-3410	102	25	plays	play	VERB
ejpam-3410	102	26	important	important	ADJ
ejpam-3410	102	27	role	role	NOUN
ejpam-3410	102	28	in	in	ADP
ejpam-3410	102	29	sampling	sample	VERB
ejpam-3410	102	30	from	from	ADP
ejpam-3410	102	31	any	any	DET
ejpam-3410	102	32	distribution	distribution	NOUN
ejpam-3410	102	33	.	.	PUNCT
ejpam-3410	103	1	several	several	ADJ
ejpam-3410	103	2	researchers	researcher	NOUN
ejpam-3410	103	3	have	have	AUX
ejpam-3410	103	4	extended	extend	VERB
ejpam-3410	103	5	the	the	DET
ejpam-3410	103	6	uniform	uniform	ADJ
ejpam-3410	103	7	distribution	distribution	NOUN
ejpam-3410	103	8	,	,	PUNCT
ejpam-3410	103	9	see	see	VERB
ejpam-3410	103	10	for	for	ADP
ejpam-3410	103	11	example	example	NOUN
ejpam-3410	103	12	,	,	PUNCT
ejpam-3410	103	13	shaw	shaw	PROPN
ejpam-3410	103	14	and	and	CCONJ
ejpam-3410	103	15	buckley	buckley	PROPN
ejpam-3410	103	16	[	[	X
ejpam-3410	103	17	16	16	NUM
ejpam-3410	103	18	]	]	PUNCT
ejpam-3410	103	19	,	,	PUNCT
ejpam-3410	103	20	nadarajah	nadarajah	PROPN
ejpam-3410	103	21	and	and	CCONJ
ejpam-3410	103	22	aryal	aryal	NOUN
ejpam-3410	103	23	,	,	PUNCT
ejpam-3410	103	24	[	[	X
ejpam-3410	103	25	12	12	NUM
ejpam-3410	103	26	]	]	PUNCT
ejpam-3410	103	27	among	among	ADP
ejpam-3410	103	28	others	other	NOUN
ejpam-3410	103	29	.	.	PUNCT
ejpam-3410	104	1	in	in	ADP
ejpam-3410	104	2	this	this	DET
ejpam-3410	104	3	section	section	NOUN
ejpam-3410	104	4	,	,	PUNCT
ejpam-3410	104	5	we	we	PRON
ejpam-3410	104	6	will	will	AUX
ejpam-3410	104	7	propose	propose	VERB
ejpam-3410	104	8	different	different	ADJ
ejpam-3410	104	9	cubic	cubic	ADJ
ejpam-3410	104	10	transmuted	transmute	VERB
ejpam-3410	104	11	uniform	uniform	ADJ
ejpam-3410	104	12	distributions	distribution	NOUN
ejpam-3410	104	13	.	.	PUNCT
ejpam-3410	105	1	we	we	PRON
ejpam-3410	105	2	will	will	AUX
ejpam-3410	105	3	first	first	ADV
ejpam-3410	105	4	propose	propose	VERB
ejpam-3410	105	5	cubic	cubic	ADJ
ejpam-3410	105	6	transmuted	transmute	VERB
ejpam-3410	105	7	uniform	uniform	ADJ
ejpam-3410	105	8	distributions	distribution	NOUN
ejpam-3410	105	9	by	by	ADP
ejpam-3410	105	10	using	use	VERB
ejpam-3410	105	11	cubic	cubic	ADJ
ejpam-3410	105	12	transmuted	transmuted	ADJ
ejpam-3410	105	13	families	family	NOUN
ejpam-3410	105	14	of	of	ADP
ejpam-3410	105	15	distributions	distribution	NOUN
ejpam-3410	105	16	given	give	VERB
ejpam-3410	105	17	by	by	ADP
ejpam-3410	105	18	rahman	rahman	PROPN
ejpam-3410	105	19	et	et	PROPN
ejpam-3410	105	20	al	al	PROPN
ejpam-3410	105	21	.	.	PUNCT
ejpam-3410	106	1	[	[	X
ejpam-3410	106	2	13	13	NUM
ejpam-3410	106	3	,	,	PUNCT
ejpam-3410	106	4	14	14	NUM
ejpam-3410	106	5	]	]	PUNCT
ejpam-3410	106	6	.	.	PUNCT
ejpam-3410	107	1	we	we	PRON
ejpam-3410	107	2	will	will	AUX
ejpam-3410	107	3	also	also	ADV
ejpam-3410	107	4	propose	propose	VERB
ejpam-3410	107	5	a	a	DET
ejpam-3410	107	6	cubic	cubic	ADJ
ejpam-3410	107	7	transmuted	transmute	VERB
ejpam-3410	107	8	uniform	uniform	ADJ
ejpam-3410	107	9	distribution	distribution	NOUN
ejpam-3410	107	10	by	by	ADP
ejpam-3410	107	11	using	use	VERB
ejpam-3410	107	12	the	the	DET
ejpam-3410	107	13	new	new	ADJ
ejpam-3410	107	14	proposed	propose	VERB
ejpam-3410	107	15	family	family	NOUN
ejpam-3410	107	16	of	of	ADP
ejpam-3410	107	17	distributions	distribution	NOUN
ejpam-3410	107	18	,	,	PUNCT
ejpam-3410	107	19	given	give	VERB
ejpam-3410	107	20	in	in	ADP
ejpam-3410	107	21	(	(	PUNCT
ejpam-3410	107	22	2	2	NUM
ejpam-3410	107	23	)	)	PUNCT
ejpam-3410	107	24	.	.	PUNCT
ejpam-3410	108	1	the	the	DET
ejpam-3410	108	2	cubic	cubic	ADJ
ejpam-3410	108	3	transmuted	transmuted	ADJ
ejpam-3410	108	4	uniform	uniform	ADJ
ejpam-3410	108	5	distributions	distribution	NOUN
ejpam-3410	108	6	,	,	PUNCT
ejpam-3410	108	7	obtained	obtain	VERB
ejpam-3410	108	8	by	by	ADP
ejpam-3410	108	9	using	use	VERB
ejpam-3410	108	10	rahman	rahman	PROPN
ejpam-3410	108	11	et	et	PROPN
ejpam-3410	108	12	al	al	PROPN
ejpam-3410	108	13	.	.	PUNCT
ejpam-3410	109	1	[	[	X
ejpam-3410	109	2	13	13	NUM
ejpam-3410	109	3	,	,	PUNCT
ejpam-3410	109	4	14	14	NUM
ejpam-3410	109	5	]	]	PUNCT
ejpam-3410	109	6	,	,	PUNCT
ejpam-3410	109	7	will	will	AUX
ejpam-3410	109	8	be	be	AUX
ejpam-3410	109	9	named	name	VERB
ejpam-3410	109	10	as	as	ADP
ejpam-3410	109	11	cubic	cubic	ADJ
ejpam-3410	109	12	transmuted	transmute	VERB
ejpam-3410	109	13	uniform	uniform	ADJ
ejpam-3410	109	14	distribution	distribution	NOUN
ejpam-3410	109	15	-	-	PUNCT
ejpam-3410	109	16	i	i	PRON
ejpam-3410	109	17	(	(	PUNCT
ejpam-3410	109	18	for	for	ADP
ejpam-3410	109	19	short	short	ADJ
ejpam-3410	109	20	,	,	PUNCT
ejpam-3410	109	21	ctui	ctui	NOUN
ejpam-3410	109	22	)	)	PUNCT
ejpam-3410	109	23	and	and	CCONJ
ejpam-3410	109	24	cubic	cubic	ADJ
ejpam-3410	109	25	transmuted	transmute	VERB
ejpam-3410	109	26	uniform	uniform	ADJ
ejpam-3410	109	27	distribution	distribution	NOUN
ejpam-3410	109	28	-	-	PUNCT
ejpam-3410	109	29	ii	ii	NOUN
ejpam-3410	109	30	(	(	PUNCT
ejpam-3410	109	31	for	for	ADP
ejpam-3410	109	32	short	short	ADJ
ejpam-3410	109	33	,	,	PUNCT
ejpam-3410	109	34	ctuii	ctuii	NUM
ejpam-3410	109	35	)	)	PUNCT
ejpam-3410	109	36	.	.	PUNCT
ejpam-3410	110	1	these	these	DET
ejpam-3410	110	2	distributions	distribution	NOUN
ejpam-3410	110	3	are	be	AUX
ejpam-3410	110	4	given	give	VERB
ejpam-3410	110	5	in	in	ADP
ejpam-3410	110	6	the	the	DET
ejpam-3410	110	7	following	follow	VERB
ejpam-3410	110	8	subsection	subsection	NOUN
ejpam-3410	110	9	.	.	PUNCT
ejpam-3410	111	1	3.1	3.1	NUM
ejpam-3410	111	2	.	.	PUNCT
ejpam-3410	111	3	cubic	cubic	ADJ
ejpam-3410	111	4	transmuted	transmute	VERB
ejpam-3410	111	5	uniform	uniform	ADJ
ejpam-3410	111	6	distributions	distribution	NOUN
ejpam-3410	111	7	using	use	VERB
ejpam-3410	111	8	existing	exist	VERB
ejpam-3410	111	9	families	family	NOUN
ejpam-3410	111	10	the	the	DET
ejpam-3410	111	11	density	density	NOUN
ejpam-3410	111	12	and	and	CCONJ
ejpam-3410	111	13	distribution	distribution	NOUN
ejpam-3410	111	14	function	function	NOUN
ejpam-3410	111	15	of	of	ADP
ejpam-3410	111	16	uniform	uniform	ADJ
ejpam-3410	111	17	distribution	distribution	NOUN
ejpam-3410	111	18	over	over	ADP
ejpam-3410	111	19	the	the	DET
ejpam-3410	111	20	interval	interval	NOUN
ejpam-3410	112	1	[	[	X
ejpam-3410	112	2	0	0	NUM
ejpam-3410	112	3	,	,	PUNCT
ejpam-3410	112	4	1	1	NUM
ejpam-3410	112	5	]	]	PUNCT
ejpam-3410	112	6	are	be	AUX
ejpam-3410	112	7	,	,	PUNCT
ejpam-3410	112	8	respectively	respectively	ADV
ejpam-3410	112	9	,	,	PUNCT
ejpam-3410	112	10	g(x	g(x	NOUN
ejpam-3410	112	11	)	)	PUNCT
ejpam-3410	113	1	=	=	SYM
ejpam-3410	113	2	1	1	NUM
ejpam-3410	113	3	and	and	CCONJ
ejpam-3410	113	4	g(x	g(x	NOUN
ejpam-3410	113	5	)	)	PUNCT
ejpam-3410	114	1	=	=	PUNCT
ejpam-3410	114	2	x.	x.	NOUN
ejpam-3410	114	3	using	use	VERB
ejpam-3410	114	4	pdf	pdf	NOUN
ejpam-3410	114	5	and	and	CCONJ
ejpam-3410	114	6	cdf	cdf	PROPN
ejpam-3410	114	7	of	of	ADP
ejpam-3410	114	8	standard	standard	ADJ
ejpam-3410	114	9	uniform	uniform	ADJ
ejpam-3410	114	10	distribution	distribution	NOUN
ejpam-3410	114	11	in	in	ADP
ejpam-3410	114	12	equation	equation	NOUN
ejpam-3410	114	13	(	(	PUNCT
ejpam-3410	114	14	3	3	NUM
ejpam-3410	114	15	)	)	PUNCT
ejpam-3410	114	16	of	of	ADP
ejpam-3410	114	17	rahman	rahman	PROPN
ejpam-3410	114	18	et	et	PROPN
ejpam-3410	114	19	al	al	PROPN
ejpam-3410	114	20	.	.	PUNCT
ejpam-3410	115	1	[	[	X
ejpam-3410	115	2	13	13	NUM
ejpam-3410	115	3	]	]	PUNCT
ejpam-3410	115	4	,	,	PUNCT
ejpam-3410	115	5	we	we	PRON
ejpam-3410	115	6	have	have	AUX
ejpam-3410	115	7	following	follow	VERB
ejpam-3410	115	8	cdf	cdf	PROPN
ejpam-3410	115	9	of	of	ADP
ejpam-3410	115	10	ctui	ctui	NOUN
ejpam-3410	115	11	distribution	distribution	NOUN
ejpam-3410	115	12	fi(x	fi(x	NOUN
ejpam-3410	115	13	)	)	PUNCT
ejpam-3410	115	14	=	=	PUNCT
ejpam-3410	116	1	(	(	PUNCT
ejpam-3410	116	2	1	1	NUM
ejpam-3410	116	3	+	+	X
ejpam-3410	116	4	λ1)x+	λ1)x+	PROPN
ejpam-3410	116	5	(	(	PUNCT
ejpam-3410	116	6	λ2	λ2	NOUN
ejpam-3410	116	7	−	−	PROPN
ejpam-3410	116	8	λ1)x2	λ1)x2	X
ejpam-3410	116	9	−	−	PROPN
ejpam-3410	116	10	λ2x3	λ2x3	NOUN
ejpam-3410	116	11	,	,	PUNCT
ejpam-3410	116	12	x	x	SYM
ejpam-3410	116	13	∈	∈	PROPN
ejpam-3410	117	1	[	[	X
ejpam-3410	117	2	0	0	NUM
ejpam-3410	117	3	,	,	PUNCT
ejpam-3410	117	4	1	1	NUM
ejpam-3410	117	5	]	]	PUNCT
ejpam-3410	117	6	,	,	PUNCT
ejpam-3410	117	7	with	with	ADP
ejpam-3410	117	8	corresponding	correspond	VERB
ejpam-3410	117	9	pdf	pdf	NOUN
ejpam-3410	117	10	fi(x	fi(x	NUM
ejpam-3410	117	11	)	)	PUNCT
ejpam-3410	117	12	=	=	PUNCT
ejpam-3410	118	1	(	(	PUNCT
ejpam-3410	118	2	1	1	NUM
ejpam-3410	118	3	+	+	SYM
ejpam-3410	118	4	λ1	λ1	ADJ
ejpam-3410	118	5	)	)	PUNCT
ejpam-3410	119	1	+	+	CCONJ
ejpam-3410	119	2	2(λ2	2(λ2	NUM
ejpam-3410	119	3	−	−	NOUN
ejpam-3410	119	4	λ1)x−	λ1)x−	NOUN
ejpam-3410	119	5	3λ2x	3λ2x	NOUN
ejpam-3410	119	6	2	2	NUM
ejpam-3410	119	7	,	,	PUNCT
ejpam-3410	119	8	x	x	SYM
ejpam-3410	119	9	∈	∈	PROPN
ejpam-3410	120	1	[	[	X
ejpam-3410	120	2	0	0	NUM
ejpam-3410	120	3	,	,	PUNCT
ejpam-3410	120	4	1	1	NUM
ejpam-3410	120	5	]	]	PUNCT
ejpam-3410	120	6	,	,	PUNCT
ejpam-3410	120	7	m.	m.	PROPN
ejpam-3410	120	8	q.	q.	PROPN
ejpam-3410	120	9	shahbaz	shahbaz	PROPN
ejpam-3410	120	10	et	et	PROPN
ejpam-3410	120	11	al	al	PROPN
ejpam-3410	120	12	.	.	PUNCT
ejpam-3410	120	13	/	/	SYM
ejpam-3410	120	14	eur	eur	PROPN
ejpam-3410	120	15	.	.	PUNCT
ejpam-3410	121	1	j.	j.	PROPN
ejpam-3410	121	2	pure	pure	PROPN
ejpam-3410	121	3	appl	appl	PROPN
ejpam-3410	121	4	.	.	PROPN
ejpam-3410	121	5	math	math	PROPN
ejpam-3410	121	6	,	,	PUNCT
ejpam-3410	121	7	12	12	NUM
ejpam-3410	121	8	(	(	PUNCT
ejpam-3410	121	9	3	3	NUM
ejpam-3410	121	10	)	)	PUNCT
ejpam-3410	121	11	(	(	PUNCT
ejpam-3410	121	12	2019	2019	NUM
ejpam-3410	121	13	)	)	PUNCT
ejpam-3410	121	14	,	,	PUNCT
ejpam-3410	121	15	1106	1106	NUM
ejpam-3410	121	16	-	-	SYM
ejpam-3410	121	17	1121	1121	NUM
ejpam-3410	121	18	1110	1110	NUM
ejpam-3410	121	19	where	where	SCONJ
ejpam-3410	121	20	λ1	λ1	ADJ
ejpam-3410	121	21	,	,	PUNCT
ejpam-3410	121	22	λ2	λ2	PROPN
ejpam-3410	121	23	∈	∈	PROPN
ejpam-3410	122	1	[	[	X
ejpam-3410	122	2	−1	−1	NOUN
ejpam-3410	122	3	,	,	PUNCT
ejpam-3410	122	4	1	1	NUM
ejpam-3410	122	5	]	]	PUNCT
ejpam-3410	122	6	and	and	CCONJ
ejpam-3410	122	7	−2	−2	PROPN
ejpam-3410	122	8	≤	≤	PUNCT
ejpam-3410	123	1	λ1	λ1	ADJ
ejpam-3410	123	2	+	+	NUM
ejpam-3410	123	3	λ2	λ2	NOUN
ejpam-3410	123	4	≤	≤	NUM
ejpam-3410	123	5	1	1	NUM
ejpam-3410	123	6	.	.	PUNCT
ejpam-3410	123	7	again	again	ADV
ejpam-3410	123	8	,	,	PUNCT
ejpam-3410	123	9	using	use	VERB
ejpam-3410	123	10	pdf	pdf	NOUN
ejpam-3410	123	11	and	and	CCONJ
ejpam-3410	123	12	cdf	cdf	PROPN
ejpam-3410	123	13	of	of	ADP
ejpam-3410	123	14	standard	standard	ADJ
ejpam-3410	123	15	0.0	0.0	NUM
ejpam-3410	123	16	0.5	0.5	NUM
ejpam-3410	123	17	1.0	1.0	NUM
ejpam-3410	123	18	1.5	1.5	NUM
ejpam-3410	123	19	2.0	2.0	NUM
ejpam-3410	123	20	0.00	0.00	NUM
ejpam-3410	123	21	0.25	0.25	NUM
ejpam-3410	123	22	0.50	0.50	NUM
ejpam-3410	123	23	0.75	0.75	NUM
ejpam-3410	123	24	1.00	1.00	NUM
ejpam-3410	123	25	x	x	SYM
ejpam-3410	123	26	f1	f1	NOUN
ejpam-3410	123	27	(	(	PUNCT
ejpam-3410	123	28	x	x	SYM
ejpam-3410	123	29	)	)	PUNCT
ejpam-3410	123	30	parameters	parameter	NOUN
ejpam-3410	123	31	(	(	PUNCT
ejpam-3410	123	32	−0.25	−0.25	INTJ
ejpam-3410	123	33	,	,	PUNCT
ejpam-3410	123	34	−0.25	−0.25	ADV
ejpam-3410	123	35	,	,	PUNCT
ejpam-3410	123	36	0.25	0.25	NUM
ejpam-3410	123	37	)	)	PUNCT
ejpam-3410	123	38	(	(	PUNCT
ejpam-3410	123	39	−0.75	−0.75	ADJ
ejpam-3410	123	40	,	,	PUNCT
ejpam-3410	123	41	−0.75	−0.75	ADJ
ejpam-3410	123	42	,	,	PUNCT
ejpam-3410	123	43	0.75	0.75	NUM
ejpam-3410	123	44	)	)	PUNCT
ejpam-3410	123	45	(	(	PUNCT
ejpam-3410	123	46	−1.00	−1.00	NOUN
ejpam-3410	123	47	,	,	PUNCT
ejpam-3410	123	48	−1.00	−1.00	NOUN
ejpam-3410	123	49	,	,	PUNCT
ejpam-3410	123	50	1.00	1.00	NUM
ejpam-3410	123	51	)	)	PUNCT
ejpam-3410	123	52	(	(	PUNCT
ejpam-3410	123	53	0.25	0.25	NUM
ejpam-3410	123	54	,	,	PUNCT
ejpam-3410	123	55	0.25	0.25	NUM
ejpam-3410	123	56	,	,	PUNCT
ejpam-3410	123	57	−0.25	−0.25	NOUN
ejpam-3410	123	58	)	)	PUNCT
ejpam-3410	123	59	(	(	PUNCT
ejpam-3410	123	60	0.75	0.75	NUM
ejpam-3410	123	61	,	,	PUNCT
ejpam-3410	123	62	0.75	0.75	NUM
ejpam-3410	123	63	,	,	PUNCT
ejpam-3410	123	64	−0.75	−0.75	ADJ
ejpam-3410	123	65	)	)	PUNCT
ejpam-3410	123	66	(	(	PUNCT
ejpam-3410	123	67	1.00	1.00	NUM
ejpam-3410	123	68	,	,	PUNCT
ejpam-3410	123	69	1.00	1.00	NUM
ejpam-3410	123	70	,	,	PUNCT
ejpam-3410	123	71	−1.00	−1.00	NOUN
ejpam-3410	123	72	)	)	PUNCT
ejpam-3410	123	73	0.00	0.00	NUM
ejpam-3410	123	74	0.25	0.25	NUM
ejpam-3410	123	75	0.50	0.50	NUM
ejpam-3410	123	76	0.75	0.75	NUM
ejpam-3410	123	77	1.00	1.00	NUM
ejpam-3410	123	78	0.00	0.00	NUM
ejpam-3410	123	79	0.25	0.25	NUM
ejpam-3410	123	80	0.50	0.50	NUM
ejpam-3410	123	81	0.75	0.75	NUM
ejpam-3410	123	82	1.00	1.00	NUM
ejpam-3410	123	83	x	x	SYM
ejpam-3410	123	84	f	f	PROPN
ejpam-3410	123	85	1	1	NUM
ejpam-3410	123	86	(	(	PUNCT
ejpam-3410	123	87	x	x	NOUN
ejpam-3410	123	88	)	)	PUNCT
ejpam-3410	123	89	parameters	parameter	NOUN
ejpam-3410	123	90	(	(	PUNCT
ejpam-3410	123	91	−0.25	−0.25	INTJ
ejpam-3410	123	92	,	,	PUNCT
ejpam-3410	123	93	−0.25	−0.25	ADV
ejpam-3410	123	94	,	,	PUNCT
ejpam-3410	123	95	0.25	0.25	NUM
ejpam-3410	123	96	)	)	PUNCT
ejpam-3410	123	97	(	(	PUNCT
ejpam-3410	123	98	−0.75	−0.75	ADJ
ejpam-3410	123	99	,	,	PUNCT
ejpam-3410	123	100	−0.75	−0.75	ADJ
ejpam-3410	123	101	,	,	PUNCT
ejpam-3410	123	102	0.75	0.75	NUM
ejpam-3410	123	103	)	)	PUNCT
ejpam-3410	123	104	(	(	PUNCT
ejpam-3410	123	105	−1.00	−1.00	NOUN
ejpam-3410	123	106	,	,	PUNCT
ejpam-3410	123	107	−1.00	−1.00	NOUN
ejpam-3410	123	108	,	,	PUNCT
ejpam-3410	123	109	1.00	1.00	NUM
ejpam-3410	123	110	)	)	PUNCT
ejpam-3410	123	111	(	(	PUNCT
ejpam-3410	123	112	0.25	0.25	NUM
ejpam-3410	123	113	,	,	PUNCT
ejpam-3410	123	114	0.25	0.25	NUM
ejpam-3410	123	115	,	,	PUNCT
ejpam-3410	123	116	−0.25	−0.25	NOUN
ejpam-3410	123	117	)	)	PUNCT
ejpam-3410	123	118	(	(	PUNCT
ejpam-3410	123	119	0.75	0.75	NUM
ejpam-3410	123	120	,	,	PUNCT
ejpam-3410	123	121	0.75	0.75	NUM
ejpam-3410	123	122	,	,	PUNCT
ejpam-3410	123	123	−0.75	−0.75	ADJ
ejpam-3410	123	124	)	)	PUNCT
ejpam-3410	123	125	(	(	PUNCT
ejpam-3410	123	126	1.00	1.00	NUM
ejpam-3410	123	127	,	,	PUNCT
ejpam-3410	123	128	1.00	1.00	NUM
ejpam-3410	123	129	,	,	PUNCT
ejpam-3410	123	130	−1.00	−1.00	NOUN
ejpam-3410	123	131	)	)	PUNCT
ejpam-3410	123	132	0.0	0.0	NUM
ejpam-3410	123	133	0.5	0.5	NUM
ejpam-3410	123	134	1.0	1.0	NUM
ejpam-3410	123	135	1.5	1.5	NUM
ejpam-3410	123	136	2.0	2.0	NUM
ejpam-3410	123	137	0.00	0.00	NUM
ejpam-3410	123	138	0.25	0.25	NUM
ejpam-3410	123	139	0.50	0.50	NUM
ejpam-3410	123	140	0.75	0.75	NUM
ejpam-3410	123	141	1.00	1.00	NUM
ejpam-3410	123	142	x	x	SYM
ejpam-3410	123	143	f2	f2	PROPN
ejpam-3410	123	144	(	(	PUNCT
ejpam-3410	123	145	x	x	SYM
ejpam-3410	123	146	)	)	PUNCT
ejpam-3410	123	147	parameters	parameter	NOUN
ejpam-3410	123	148	(	(	PUNCT
ejpam-3410	123	149	−0.25	−0.25	INTJ
ejpam-3410	123	150	,	,	PUNCT
ejpam-3410	123	151	−0.25	−0.25	ADV
ejpam-3410	123	152	,	,	PUNCT
ejpam-3410	123	153	0.25	0.25	NUM
ejpam-3410	123	154	)	)	PUNCT
ejpam-3410	123	155	(	(	PUNCT
ejpam-3410	123	156	−0.75	−0.75	ADJ
ejpam-3410	123	157	,	,	PUNCT
ejpam-3410	123	158	−0.75	−0.75	ADJ
ejpam-3410	123	159	,	,	PUNCT
ejpam-3410	123	160	0.75	0.75	NUM
ejpam-3410	123	161	)	)	PUNCT
ejpam-3410	123	162	(	(	PUNCT
ejpam-3410	123	163	−1.00	−1.00	NOUN
ejpam-3410	123	164	,	,	PUNCT
ejpam-3410	123	165	−1.00	−1.00	NOUN
ejpam-3410	123	166	,	,	PUNCT
ejpam-3410	123	167	1.00	1.00	NUM
ejpam-3410	123	168	)	)	PUNCT
ejpam-3410	123	169	(	(	PUNCT
ejpam-3410	123	170	0.25	0.25	NUM
ejpam-3410	123	171	,	,	PUNCT
ejpam-3410	123	172	0.25	0.25	NUM
ejpam-3410	123	173	,	,	PUNCT
ejpam-3410	123	174	−0.25	−0.25	NOUN
ejpam-3410	123	175	)	)	PUNCT
ejpam-3410	123	176	(	(	PUNCT
ejpam-3410	123	177	0.75	0.75	NUM
ejpam-3410	123	178	,	,	PUNCT
ejpam-3410	123	179	0.75	0.75	NUM
ejpam-3410	123	180	,	,	PUNCT
ejpam-3410	123	181	−0.75	−0.75	ADJ
ejpam-3410	123	182	)	)	PUNCT
ejpam-3410	123	183	(	(	PUNCT
ejpam-3410	123	184	1.00	1.00	NUM
ejpam-3410	123	185	,	,	PUNCT
ejpam-3410	123	186	1.00	1.00	NUM
ejpam-3410	123	187	,	,	PUNCT
ejpam-3410	123	188	−1.00	−1.00	NOUN
ejpam-3410	123	189	)	)	PUNCT
ejpam-3410	123	190	0.00	0.00	NUM
ejpam-3410	123	191	0.25	0.25	NUM
ejpam-3410	123	192	0.50	0.50	NUM
ejpam-3410	123	193	0.75	0.75	NUM
ejpam-3410	123	194	1.00	1.00	NUM
ejpam-3410	123	195	0.00	0.00	NUM
ejpam-3410	123	196	0.25	0.25	NUM
ejpam-3410	123	197	0.50	0.50	NUM
ejpam-3410	123	198	0.75	0.75	NUM
ejpam-3410	123	199	1.00	1.00	NUM
ejpam-3410	123	200	x	x	SYM
ejpam-3410	123	201	f	f	PROPN
ejpam-3410	123	202	2	2	NUM
ejpam-3410	123	203	(	(	PUNCT
ejpam-3410	123	204	x	x	NOUN
ejpam-3410	123	205	)	)	PUNCT
ejpam-3410	123	206	parameters	parameter	NOUN
ejpam-3410	123	207	(	(	PUNCT
ejpam-3410	123	208	−0.25	−0.25	INTJ
ejpam-3410	123	209	,	,	PUNCT
ejpam-3410	123	210	−0.25	−0.25	ADV
ejpam-3410	123	211	,	,	PUNCT
ejpam-3410	123	212	0.25	0.25	NUM
ejpam-3410	123	213	)	)	PUNCT
ejpam-3410	123	214	(	(	PUNCT
ejpam-3410	123	215	−0.75	−0.75	ADJ
ejpam-3410	123	216	,	,	PUNCT
ejpam-3410	123	217	−0.75	−0.75	ADJ
ejpam-3410	123	218	,	,	PUNCT
ejpam-3410	123	219	0.75	0.75	NUM
ejpam-3410	123	220	)	)	PUNCT
ejpam-3410	123	221	(	(	PUNCT
ejpam-3410	123	222	−1.00	−1.00	NOUN
ejpam-3410	123	223	,	,	PUNCT
ejpam-3410	123	224	−1.00	−1.00	NOUN
ejpam-3410	123	225	,	,	PUNCT
ejpam-3410	123	226	1.00	1.00	NUM
ejpam-3410	123	227	)	)	PUNCT
ejpam-3410	123	228	(	(	PUNCT
ejpam-3410	123	229	0.25	0.25	NUM
ejpam-3410	123	230	,	,	PUNCT
ejpam-3410	123	231	0.25	0.25	NUM
ejpam-3410	123	232	,	,	PUNCT
ejpam-3410	123	233	−0.25	−0.25	NOUN
ejpam-3410	123	234	)	)	PUNCT
ejpam-3410	123	235	(	(	PUNCT
ejpam-3410	123	236	0.75	0.75	NUM
ejpam-3410	123	237	,	,	PUNCT
ejpam-3410	123	238	0.75	0.75	NUM
ejpam-3410	123	239	,	,	PUNCT
ejpam-3410	123	240	−0.75	−0.75	ADJ
ejpam-3410	123	241	)	)	PUNCT
ejpam-3410	123	242	(	(	PUNCT
ejpam-3410	123	243	1.00	1.00	NUM
ejpam-3410	123	244	,	,	PUNCT
ejpam-3410	123	245	1.00	1.00	NUM
ejpam-3410	123	246	,	,	PUNCT
ejpam-3410	123	247	−1.00	−1.00	NOUN
ejpam-3410	123	248	)	)	PUNCT
ejpam-3410	123	249	figure	figure	NOUN
ejpam-3410	123	250	1	1	NUM
ejpam-3410	123	251	:	:	PUNCT
ejpam-3410	123	252	density	density	NOUN
ejpam-3410	123	253	and	and	CCONJ
ejpam-3410	123	254	distribution	distribution	NOUN
ejpam-3410	123	255	functions	function	NOUN
ejpam-3410	123	256	plots	plot	NOUN
ejpam-3410	123	257	for	for	ADP
ejpam-3410	123	258	ctui	ctui	NOUN
ejpam-3410	123	259	(	(	PUNCT
ejpam-3410	123	260	top	top	ADJ
ejpam-3410	123	261	)	)	PUNCT
ejpam-3410	123	262	and	and	CCONJ
ejpam-3410	123	263	ctuii	ctuii	ADJ
ejpam-3410	123	264	(	(	PUNCT
ejpam-3410	123	265	bottom	bottom	ADJ
ejpam-3410	123	266	)	)	PUNCT
ejpam-3410	123	267	distributions	distribution	NOUN
ejpam-3410	123	268	.	.	PUNCT
ejpam-3410	124	1	uniform	uniform	ADJ
ejpam-3410	124	2	distribution	distribution	NOUN
ejpam-3410	124	3	in	in	ADP
ejpam-3410	124	4	(	(	PUNCT
ejpam-3410	124	5	7	7	NUM
ejpam-3410	124	6	)	)	PUNCT
ejpam-3410	124	7	of	of	ADP
ejpam-3410	124	8	rahman	rahman	PROPN
ejpam-3410	124	9	et	et	PROPN
ejpam-3410	124	10	al	al	PROPN
ejpam-3410	124	11	.	.	PUNCT
ejpam-3410	125	1	[	[	X
ejpam-3410	125	2	14	14	NUM
ejpam-3410	125	3	]	]	PUNCT
ejpam-3410	125	4	,	,	PUNCT
ejpam-3410	125	5	we	we	PRON
ejpam-3410	125	6	have	have	VERB
ejpam-3410	125	7	the	the	DET
ejpam-3410	125	8	cdf	cdf	PROPN
ejpam-3410	125	9	of	of	ADP
ejpam-3410	125	10	ctuii	ctuii	ADJ
ejpam-3410	125	11	distribution	distribution	NOUN
ejpam-3410	125	12	as	as	ADP
ejpam-3410	125	13	fii(x	fii(x	NOUN
ejpam-3410	125	14	)	)	PUNCT
ejpam-3410	125	15	=	=	PUNCT
ejpam-3410	125	16	(	(	PUNCT
ejpam-3410	125	17	1	1	NUM
ejpam-3410	125	18	+	+	X
ejpam-3410	125	19	λ1	λ1	ADJ
ejpam-3410	125	20	+	+	CCONJ
ejpam-3410	125	21	λ2)x−	λ2)x−	PUNCT
ejpam-3410	125	22	(	(	PUNCT
ejpam-3410	125	23	λ1	λ1	ADJ
ejpam-3410	125	24	+	+	CCONJ
ejpam-3410	125	25	2λ2)x	2λ2)x	NUM
ejpam-3410	125	26	2	2	NUM
ejpam-3410	125	27	+	+	CCONJ
ejpam-3410	125	28	λ2x	λ2x	PROPN
ejpam-3410	125	29	3	3	NUM
ejpam-3410	125	30	,	,	PUNCT
ejpam-3410	125	31	x	x	SYM
ejpam-3410	125	32	∈	∈	PROPN
ejpam-3410	126	1	[	[	X
ejpam-3410	126	2	0	0	NUM
ejpam-3410	126	3	,	,	PUNCT
ejpam-3410	126	4	1	1	NUM
ejpam-3410	126	5	]	]	PUNCT
ejpam-3410	126	6	,	,	PUNCT
ejpam-3410	126	7	with	with	ADP
ejpam-3410	126	8	corresponding	correspond	VERB
ejpam-3410	126	9	pdf	pdf	NOUN
ejpam-3410	126	10	as	as	ADP
ejpam-3410	126	11	fii(x	fii(x	PROPN
ejpam-3410	126	12	)	)	PUNCT
ejpam-3410	126	13	=	=	PUNCT
ejpam-3410	126	14	(	(	PUNCT
ejpam-3410	126	15	1	1	NUM
ejpam-3410	126	16	+	+	X
ejpam-3410	126	17	λ1	λ1	ADJ
ejpam-3410	126	18	+	+	CCONJ
ejpam-3410	126	19	λ2)−	λ2)−	ADJ
ejpam-3410	126	20	2(λ1	2(λ1	PROPN
ejpam-3410	127	1	+	+	CCONJ
ejpam-3410	127	2	2λ2)x+	2λ2)x+	NUM
ejpam-3410	127	3	3λ2x	3λ2x	NOUN
ejpam-3410	127	4	2	2	NUM
ejpam-3410	127	5	,	,	PUNCT
ejpam-3410	127	6	x	x	SYM
ejpam-3410	127	7	∈	∈	PROPN
ejpam-3410	128	1	[	[	X
ejpam-3410	128	2	0	0	NUM
ejpam-3410	128	3	,	,	PUNCT
ejpam-3410	128	4	1	1	NUM
ejpam-3410	128	5	]	]	PUNCT
ejpam-3410	128	6	,	,	PUNCT
ejpam-3410	128	7	where	where	SCONJ
ejpam-3410	128	8	λ1	λ1	PROPN
ejpam-3410	128	9	∈	∈	PROPN
ejpam-3410	129	1	[	[	X
ejpam-3410	129	2	−1	−1	NOUN
ejpam-3410	129	3	,	,	PUNCT
ejpam-3410	129	4	1	1	NUM
ejpam-3410	129	5	]	]	PUNCT
ejpam-3410	129	6	and	and	CCONJ
ejpam-3410	129	7	λ2	λ2	PROPN
ejpam-3410	129	8	∈	∈	PROPN
ejpam-3410	130	1	[	[	X
ejpam-3410	130	2	0	0	NUM
ejpam-3410	130	3	,	,	PUNCT
ejpam-3410	130	4	1	1	NUM
ejpam-3410	130	5	]	]	PUNCT
ejpam-3410	130	6	.	.	PUNCT
ejpam-3410	131	1	figure	figure	NOUN
ejpam-3410	131	2	1	1	NUM
ejpam-3410	131	3	presents	present	VERB
ejpam-3410	131	4	the	the	DET
ejpam-3410	131	5	density	density	NOUN
ejpam-3410	131	6	and	and	CCONJ
ejpam-3410	131	7	distribution	distribution	NOUN
ejpam-3410	131	8	functions	function	NOUN
ejpam-3410	131	9	of	of	ADP
ejpam-3410	131	10	ctui	ctui	NOUN
ejpam-3410	131	11	and	and	CCONJ
ejpam-3410	131	12	ctuii	ctuii	ADJ
ejpam-3410	131	13	distributions	distribution	NOUN
ejpam-3410	131	14	.	.	PUNCT
ejpam-3410	132	1	it	it	PRON
ejpam-3410	132	2	can	can	AUX
ejpam-3410	132	3	be	be	AUX
ejpam-3410	132	4	seen	see	VERB
ejpam-3410	132	5	that	that	SCONJ
ejpam-3410	132	6	ctui	ctui	VERB
ejpam-3410	132	7	distribution	distribution	NOUN
ejpam-3410	132	8	is	be	AUX
ejpam-3410	132	9	skewed	skew	VERB
ejpam-3410	132	10	to	to	ADP
ejpam-3410	132	11	the	the	DET
ejpam-3410	132	12	left	left	ADJ
ejpam-3410	132	13	and	and	CCONJ
ejpam-3410	132	14	ctuii	ctuii	ADJ
ejpam-3410	132	15	distribution	distribution	NOUN
ejpam-3410	132	16	is	be	AUX
ejpam-3410	132	17	skewed	skew	VERB
ejpam-3410	132	18	to	to	ADP
ejpam-3410	132	19	the	the	DET
ejpam-3410	132	20	right	right	NOUN
ejpam-3410	132	21	.	.	PUNCT
ejpam-3410	133	1	m.	m.	PROPN
ejpam-3410	133	2	q.	q.	PROPN
ejpam-3410	133	3	shahbaz	shahbaz	PROPN
ejpam-3410	133	4	et	et	PROPN
ejpam-3410	133	5	al	al	PROPN
ejpam-3410	133	6	.	.	PUNCT
ejpam-3410	133	7	/	/	SYM
ejpam-3410	133	8	eur	eur	PROPN
ejpam-3410	133	9	.	.	PUNCT
ejpam-3410	134	1	j.	j.	PROPN
ejpam-3410	134	2	pure	pure	PROPN
ejpam-3410	134	3	appl	appl	PROPN
ejpam-3410	134	4	.	.	PROPN
ejpam-3410	134	5	math	math	PROPN
ejpam-3410	134	6	,	,	PUNCT
ejpam-3410	134	7	12	12	NUM
ejpam-3410	134	8	(	(	PUNCT
ejpam-3410	134	9	3	3	NUM
ejpam-3410	134	10	)	)	PUNCT
ejpam-3410	134	11	(	(	PUNCT
ejpam-3410	134	12	2019	2019	NUM
ejpam-3410	134	13	)	)	PUNCT
ejpam-3410	134	14	,	,	PUNCT
ejpam-3410	134	15	1106	1106	NUM
ejpam-3410	134	16	-	-	SYM
ejpam-3410	134	17	1121	1121	NUM
ejpam-3410	134	18	1111	1111	NUM
ejpam-3410	134	19	3.2	3.2	NUM
ejpam-3410	134	20	.	.	PUNCT
ejpam-3410	135	1	cubic	cubic	ADJ
ejpam-3410	135	2	transmuted	transmute	VERB
ejpam-3410	135	3	uniform	uniform	ADJ
ejpam-3410	135	4	distribution	distribution	NOUN
ejpam-3410	135	5	using	use	VERB
ejpam-3410	135	6	proposed	propose	VERB
ejpam-3410	135	7	family	family	NOUN
ejpam-3410	135	8	we	we	PRON
ejpam-3410	135	9	will	will	AUX
ejpam-3410	135	10	now	now	ADV
ejpam-3410	135	11	propose	propose	VERB
ejpam-3410	135	12	a	a	DET
ejpam-3410	135	13	cubic	cubic	ADJ
ejpam-3410	135	14	transmuted	transmuted	ADJ
ejpam-3410	135	15	uniform	uniform	ADJ
ejpam-3410	135	16	distribution	distribution	NOUN
ejpam-3410	135	17	(	(	PUNCT
ejpam-3410	135	18	ctu	ctu	NOUN
ejpam-3410	135	19	for	for	ADP
ejpam-3410	135	20	short	short	ADJ
ejpam-3410	135	21	)	)	PUNCT
ejpam-3410	135	22	by	by	ADP
ejpam-3410	135	23	using	use	VERB
ejpam-3410	135	24	the	the	DET
ejpam-3410	135	25	family	family	NOUN
ejpam-3410	135	26	of	of	ADP
ejpam-3410	135	27	distributions	distribution	NOUN
ejpam-3410	135	28	given	give	VERB
ejpam-3410	135	29	in	in	ADP
ejpam-3410	135	30	(	(	PUNCT
ejpam-3410	135	31	2	2	NUM
ejpam-3410	135	32	)	)	PUNCT
ejpam-3410	135	33	.	.	PUNCT
ejpam-3410	136	1	using	use	VERB
ejpam-3410	136	2	pdf	pdf	NOUN
ejpam-3410	136	3	and	and	CCONJ
ejpam-3410	136	4	cdf	cdf	PROPN
ejpam-3410	136	5	of	of	ADP
ejpam-3410	136	6	standard	standard	ADJ
ejpam-3410	136	7	uniform	uniform	ADJ
ejpam-3410	136	8	distribution	distribution	NOUN
ejpam-3410	136	9	in	in	ADP
ejpam-3410	136	10	(	(	PUNCT
ejpam-3410	136	11	2	2	NUM
ejpam-3410	136	12	)	)	PUNCT
ejpam-3410	136	13	,	,	PUNCT
ejpam-3410	136	14	we	we	PRON
ejpam-3410	136	15	obtain	obtain	VERB
ejpam-3410	136	16	the	the	DET
ejpam-3410	136	17	cdf	cdf	NOUN
ejpam-3410	136	18	of	of	ADP
ejpam-3410	136	19	ctu	ctu	ADJ
ejpam-3410	136	20	distribution	distribution	NOUN
ejpam-3410	136	21	as	as	ADP
ejpam-3410	136	22	f	f	PROPN
ejpam-3410	136	23	(	(	PUNCT
ejpam-3410	136	24	x	x	NOUN
ejpam-3410	136	25	)	)	PUNCT
ejpam-3410	136	26	=	=	SYM
ejpam-3410	136	27	(	(	PUNCT
ejpam-3410	136	28	1−	1−	NUM
ejpam-3410	136	29	λ)x+	λ)x+	NOUN
ejpam-3410	136	30	3λx2	3λx2	NUM
ejpam-3410	136	31	−	−	NOUN
ejpam-3410	136	32	2λx3	2λx3	NUM
ejpam-3410	136	33	,	,	PUNCT
ejpam-3410	136	34	x	x	SYM
ejpam-3410	136	35	∈	∈	PROPN
ejpam-3410	137	1	[	[	X
ejpam-3410	137	2	0	0	NUM
ejpam-3410	137	3	,	,	PUNCT
ejpam-3410	137	4	1	1	NUM
ejpam-3410	137	5	]	]	PUNCT
ejpam-3410	137	6	,	,	PUNCT
ejpam-3410	137	7	(	(	PUNCT
ejpam-3410	137	8	8)	8)	NUM
ejpam-3410	137	9	with	with	ADP
ejpam-3410	137	10	corresponding	correspond	VERB
ejpam-3410	137	11	pdf	pdf	NOUN
ejpam-3410	137	12	f(x	f(x	PROPN
ejpam-3410	137	13	)	)	PUNCT
ejpam-3410	137	14	=	=	PUNCT
ejpam-3410	137	15	(	(	PUNCT
ejpam-3410	137	16	1−	1−	NUM
ejpam-3410	137	17	λ	λ	NOUN
ejpam-3410	137	18	)	)	PUNCT
ejpam-3410	137	19	+	+	CCONJ
ejpam-3410	137	20	6λx−	6λx−	NUM
ejpam-3410	137	21	6λx2	6λx2	NUM
ejpam-3410	137	22	,	,	PUNCT
ejpam-3410	137	23	x	x	PUNCT
ejpam-3410	137	24	∈	∈	PROPN
ejpam-3410	138	1	[	[	X
ejpam-3410	138	2	0	0	NUM
ejpam-3410	138	3	,	,	PUNCT
ejpam-3410	138	4	1	1	NUM
ejpam-3410	138	5	]	]	PUNCT
ejpam-3410	138	6	,	,	PUNCT
ejpam-3410	138	7	(	(	PUNCT
ejpam-3410	138	8	9	9	X
ejpam-3410	138	9	)	)	PUNCT
ejpam-3410	139	1	where	where	SCONJ
ejpam-3410	139	2	λ	λ	PROPN
ejpam-3410	139	3	∈	∈	PROPN
ejpam-3410	139	4	[	[	X
ejpam-3410	139	5	−1	−1	NOUN
ejpam-3410	139	6	,	,	PUNCT
ejpam-3410	139	7	1	1	NUM
ejpam-3410	139	8	]	]	PUNCT
ejpam-3410	139	9	.	.	PUNCT
ejpam-3410	140	1	0.0	0.0	NUM
ejpam-3410	140	2	0.5	0.5	NUM
ejpam-3410	140	3	1.0	1.0	NUM
ejpam-3410	140	4	1.5	1.5	NUM
ejpam-3410	140	5	2.0	2.0	NUM
ejpam-3410	140	6	0.00	0.00	NUM
ejpam-3410	140	7	0.25	0.25	NUM
ejpam-3410	140	8	0.50	0.50	NUM
ejpam-3410	140	9	0.75	0.75	NUM
ejpam-3410	140	10	1.00	1.00	NUM
ejpam-3410	140	11	x	x	SYM
ejpam-3410	140	12	f(x	f(x	PROPN
ejpam-3410	140	13	)	)	PUNCT
ejpam-3410	140	14	parameters	parameter	NOUN
ejpam-3410	140	15	(	(	PUNCT
ejpam-3410	140	16	−0.25	−0.25	NOUN
ejpam-3410	140	17	)	)	PUNCT
ejpam-3410	140	18	(	(	PUNCT
ejpam-3410	140	19	−0.75	−0.75	ADJ
ejpam-3410	140	20	)	)	PUNCT
ejpam-3410	140	21	(	(	PUNCT
ejpam-3410	140	22	−1.00	−1.00	NOUN
ejpam-3410	140	23	)	)	PUNCT
ejpam-3410	140	24	(	(	PUNCT
ejpam-3410	140	25	0.25	0.25	NUM
ejpam-3410	140	26	)	)	PUNCT
ejpam-3410	140	27	(	(	PUNCT
ejpam-3410	140	28	0.75	0.75	NUM
ejpam-3410	140	29	)	)	PUNCT
ejpam-3410	140	30	(	(	PUNCT
ejpam-3410	140	31	1.00	1.00	NUM
ejpam-3410	140	32	)	)	PUNCT
ejpam-3410	140	33	0.00	0.00	NUM
ejpam-3410	140	34	0.25	0.25	NUM
ejpam-3410	140	35	0.50	0.50	NUM
ejpam-3410	140	36	0.75	0.75	NUM
ejpam-3410	140	37	1.00	1.00	NUM
ejpam-3410	140	38	0.00	0.00	NUM
ejpam-3410	140	39	0.25	0.25	NUM
ejpam-3410	140	40	0.50	0.50	NUM
ejpam-3410	140	41	0.75	0.75	NUM
ejpam-3410	140	42	1.00	1.00	NUM
ejpam-3410	140	43	x	x	SYM
ejpam-3410	140	44	f	f	X
ejpam-3410	140	45	(	(	PUNCT
ejpam-3410	140	46	x	x	NOUN
ejpam-3410	140	47	)	)	PUNCT
ejpam-3410	140	48	parameters	parameter	NOUN
ejpam-3410	140	49	(	(	PUNCT
ejpam-3410	140	50	−0.25	−0.25	NOUN
ejpam-3410	140	51	)	)	PUNCT
ejpam-3410	140	52	(	(	PUNCT
ejpam-3410	140	53	−0.75	−0.75	ADJ
ejpam-3410	140	54	)	)	PUNCT
ejpam-3410	140	55	(	(	PUNCT
ejpam-3410	140	56	−1.00	−1.00	NOUN
ejpam-3410	140	57	)	)	PUNCT
ejpam-3410	140	58	(	(	PUNCT
ejpam-3410	140	59	0.25	0.25	NUM
ejpam-3410	140	60	)	)	PUNCT
ejpam-3410	140	61	(	(	PUNCT
ejpam-3410	140	62	0.75	0.75	NUM
ejpam-3410	140	63	)	)	PUNCT
ejpam-3410	140	64	(	(	PUNCT
ejpam-3410	140	65	1.00	1.00	NUM
ejpam-3410	140	66	)	)	PUNCT
ejpam-3410	140	67	figure	figure	NOUN
ejpam-3410	140	68	2	2	NUM
ejpam-3410	140	69	:	:	PUNCT
ejpam-3410	140	70	density	density	NOUN
ejpam-3410	140	71	and	and	CCONJ
ejpam-3410	140	72	distribution	distribution	NOUN
ejpam-3410	140	73	functions	function	NOUN
ejpam-3410	140	74	plots	plot	NOUN
ejpam-3410	140	75	for	for	ADP
ejpam-3410	140	76	proposed	propose	VERB
ejpam-3410	140	77	ctu	ctu	ADJ
ejpam-3410	140	78	distribution	distribution	NOUN
ejpam-3410	140	79	.	.	PUNCT
ejpam-3410	141	1	figure	figure	NOUN
ejpam-3410	141	2	2	2	NUM
ejpam-3410	141	3	present	present	VERB
ejpam-3410	141	4	the	the	DET
ejpam-3410	141	5	plots	plot	NOUN
ejpam-3410	141	6	of	of	ADP
ejpam-3410	141	7	density	density	NOUN
ejpam-3410	141	8	and	and	CCONJ
ejpam-3410	141	9	distribution	distribution	NOUN
ejpam-3410	141	10	functions	function	NOUN
ejpam-3410	141	11	for	for	ADP
ejpam-3410	141	12	the	the	DET
ejpam-3410	141	13	proposed	propose	VERB
ejpam-3410	141	14	ctu	ctu	NOUN
ejpam-3410	141	15	distribution	distribution	NOUN
ejpam-3410	141	16	.	.	PUNCT
ejpam-3410	142	1	it	it	PRON
ejpam-3410	142	2	can	can	AUX
ejpam-3410	142	3	be	be	AUX
ejpam-3410	142	4	seen	see	VERB
ejpam-3410	142	5	that	that	SCONJ
ejpam-3410	142	6	the	the	DET
ejpam-3410	142	7	proposed	propose	VERB
ejpam-3410	142	8	ctu	ctu	NOUN
ejpam-3410	142	9	distribution	distribution	NOUN
ejpam-3410	142	10	capture	capture	VERB
ejpam-3410	142	11	the	the	DET
ejpam-3410	142	12	complexity	complexity	NOUN
ejpam-3410	142	13	alone	alone	ADV
ejpam-3410	142	14	that	that	PRON
ejpam-3410	142	15	were	be	AUX
ejpam-3410	142	16	captured	capture	VERB
ejpam-3410	142	17	by	by	ADP
ejpam-3410	142	18	ctui	ctui	NOUN
ejpam-3410	142	19	and	and	CCONJ
ejpam-3410	142	20	ctuii	ctuii	ADJ
ejpam-3410	142	21	distributions	distribution	NOUN
ejpam-3410	142	22	together	together	ADV
ejpam-3410	142	23	.	.	PUNCT
ejpam-3410	143	1	we	we	PRON
ejpam-3410	143	2	will	will	AUX
ejpam-3410	143	3	now	now	ADV
ejpam-3410	143	4	present	present	VERB
ejpam-3410	143	5	the	the	DET
ejpam-3410	143	6	distributional	distributional	ADJ
ejpam-3410	143	7	properties	property	NOUN
ejpam-3410	143	8	,	,	PUNCT
ejpam-3410	143	9	alongside	alongside	ADP
ejpam-3410	143	10	real	real	ADJ
ejpam-3410	143	11	data	datum	NOUN
ejpam-3410	143	12	application	application	NOUN
ejpam-3410	143	13	,	,	PUNCT
ejpam-3410	143	14	of	of	ADP
ejpam-3410	143	15	the	the	DET
ejpam-3410	143	16	proposed	propose	VERB
ejpam-3410	143	17	ctu	ctu	NOUN
ejpam-3410	143	18	distribution	distribution	NOUN
ejpam-3410	143	19	in	in	ADP
ejpam-3410	143	20	the	the	DET
ejpam-3410	143	21	following	follow	VERB
ejpam-3410	143	22	sections	section	NOUN
ejpam-3410	143	23	.	.	PUNCT
ejpam-3410	144	1	4	4	X
ejpam-3410	144	2	.	.	X
ejpam-3410	144	3	statistical	statistical	ADJ
ejpam-3410	144	4	properties	property	NOUN
ejpam-3410	144	5	in	in	ADP
ejpam-3410	144	6	this	this	DET
ejpam-3410	144	7	section	section	NOUN
ejpam-3410	144	8	we	we	PRON
ejpam-3410	144	9	will	will	AUX
ejpam-3410	144	10	discuss	discuss	VERB
ejpam-3410	144	11	some	some	DET
ejpam-3410	144	12	distributional	distributional	ADJ
ejpam-3410	144	13	properties	property	NOUN
ejpam-3410	144	14	of	of	ADP
ejpam-3410	144	15	the	the	DET
ejpam-3410	144	16	proposed	propose	VERB
ejpam-3410	144	17	ctu	ctu	NOUN
ejpam-3410	144	18	distribution	distribution	NOUN
ejpam-3410	144	19	.	.	PUNCT
ejpam-3410	145	1	these	these	DET
ejpam-3410	145	2	properties	property	NOUN
ejpam-3410	145	3	are	be	AUX
ejpam-3410	145	4	discussed	discuss	VERB
ejpam-3410	145	5	in	in	ADP
ejpam-3410	145	6	the	the	DET
ejpam-3410	145	7	following	follow	VERB
ejpam-3410	145	8	subsections	subsection	NOUN
ejpam-3410	145	9	.	.	PUNCT
ejpam-3410	146	1	4.1	4.1	NUM
ejpam-3410	146	2	.	.	PUNCT
ejpam-3410	147	1	moments	moment	NOUN
ejpam-3410	147	2	moments	moment	NOUN
ejpam-3410	147	3	play	play	VERB
ejpam-3410	147	4	an	an	DET
ejpam-3410	147	5	important	important	ADJ
ejpam-3410	147	6	role	role	NOUN
ejpam-3410	147	7	in	in	ADP
ejpam-3410	147	8	studying	study	VERB
ejpam-3410	147	9	certain	certain	ADJ
ejpam-3410	147	10	properties	property	NOUN
ejpam-3410	147	11	of	of	ADP
ejpam-3410	147	12	the	the	DET
ejpam-3410	147	13	distribution	distribution	NOUN
ejpam-3410	147	14	.	.	PUNCT
ejpam-3410	148	1	we	we	PRON
ejpam-3410	148	2	will	will	AUX
ejpam-3410	148	3	give	give	VERB
ejpam-3410	148	4	the	the	DET
ejpam-3410	148	5	rth	rth	NOUN
ejpam-3410	148	6	moment	moment	NOUN
ejpam-3410	148	7	of	of	ADP
ejpam-3410	148	8	proposed	propose	VERB
ejpam-3410	148	9	ctu	ctu	ADJ
ejpam-3410	148	10	distribution	distribution	NOUN
ejpam-3410	148	11	in	in	ADP
ejpam-3410	148	12	the	the	DET
ejpam-3410	148	13	following	follow	VERB
ejpam-3410	148	14	theorem	theorem	PROPN
ejpam-3410	148	15	.	.	PROPN
ejpam-3410	148	16	m.	m.	PROPN
ejpam-3410	148	17	q.	q.	PROPN
ejpam-3410	148	18	shahbaz	shahbaz	PROPN
ejpam-3410	148	19	et	et	PROPN
ejpam-3410	148	20	al	al	PROPN
ejpam-3410	148	21	.	.	PUNCT
ejpam-3410	148	22	/	/	SYM
ejpam-3410	148	23	eur	eur	PROPN
ejpam-3410	148	24	.	.	PUNCT
ejpam-3410	149	1	j.	j.	PROPN
ejpam-3410	149	2	pure	pure	PROPN
ejpam-3410	149	3	appl	appl	PROPN
ejpam-3410	149	4	.	.	PROPN
ejpam-3410	149	5	math	math	PROPN
ejpam-3410	149	6	,	,	PUNCT
ejpam-3410	149	7	12	12	NUM
ejpam-3410	149	8	(	(	PUNCT
ejpam-3410	149	9	3	3	NUM
ejpam-3410	149	10	)	)	PUNCT
ejpam-3410	149	11	(	(	PUNCT
ejpam-3410	149	12	2019	2019	NUM
ejpam-3410	149	13	)	)	PUNCT
ejpam-3410	149	14	,	,	PUNCT
ejpam-3410	149	15	1106	1106	NUM
ejpam-3410	149	16	-	-	SYM
ejpam-3410	149	17	1121	1121	NUM
ejpam-3410	149	18	1112	1112	NUM
ejpam-3410	149	19	theorem	theorem	NOUN
ejpam-3410	149	20	3	3	NUM
ejpam-3410	149	21	.	.	PUNCT
ejpam-3410	150	1	the	the	DET
ejpam-3410	150	2	rth	rth	PROPN
ejpam-3410	150	3	raw	raw	ADJ
ejpam-3410	150	4	moment	moment	NOUN
ejpam-3410	150	5	of	of	ADP
ejpam-3410	150	6	ctu	ctu	ADJ
ejpam-3410	150	7	distribution	distribution	NOUN
ejpam-3410	150	8	,	,	PUNCT
ejpam-3410	150	9	with	with	ADP
ejpam-3410	150	10	density	density	NOUN
ejpam-3410	150	11	(	(	PUNCT
ejpam-3410	150	12	9	9	NUM
ejpam-3410	150	13	)	)	PUNCT
ejpam-3410	150	14	,	,	PUNCT
ejpam-3410	150	15	is	be	AUX
ejpam-3410	150	16	µ′r	µ′r	NOUN
ejpam-3410	150	17	=	=	SYM
ejpam-3410	150	18	r(λ−	r(λ−	ADJ
ejpam-3410	150	19	λr	λr	NOUN
ejpam-3410	151	1	+	+	CCONJ
ejpam-3410	151	2	r	r	NOUN
ejpam-3410	151	3	+	+	NOUN
ejpam-3410	151	4	5	5	NUM
ejpam-3410	151	5	)	)	PUNCT
ejpam-3410	151	6	+	+	CCONJ
ejpam-3410	151	7	6	6	NUM
ejpam-3410	151	8	(	(	PUNCT
ejpam-3410	151	9	r	r	NOUN
ejpam-3410	151	10	+	+	NUM
ejpam-3410	151	11	1)(r	1)(r	NUM
ejpam-3410	151	12	+	+	SYM
ejpam-3410	151	13	2)(r	2)(r	NUM
ejpam-3410	151	14	+	+	CCONJ
ejpam-3410	151	15	3	3	NUM
ejpam-3410	151	16	)	)	PUNCT
ejpam-3410	151	17	.	.	PUNCT
ejpam-3410	152	1	the	the	DET
ejpam-3410	152	2	mean	mean	ADJ
ejpam-3410	152	3	,	,	PUNCT
ejpam-3410	152	4	variance	variance	NOUN
ejpam-3410	152	5	,	,	PUNCT
ejpam-3410	152	6	skewness	skewness	NOUN
ejpam-3410	152	7	and	and	CCONJ
ejpam-3410	152	8	kurtosis	kurtosis	NOUN
ejpam-3410	152	9	are	be	AUX
ejpam-3410	152	10	,	,	PUNCT
ejpam-3410	152	11	respectively	respectively	ADV
ejpam-3410	152	12	,	,	PUNCT
ejpam-3410	152	13	1	1	NUM
ejpam-3410	152	14	2	2	NUM
ejpam-3410	152	15	,	,	PUNCT
ejpam-3410	152	16	1	1	NUM
ejpam-3410	152	17	60(5−2λ	60(5−2λ	NUM
ejpam-3410	152	18	)	)	PUNCT
ejpam-3410	152	19	,	,	PUNCT
ejpam-3410	152	20	0	0	NUM
ejpam-3410	152	21	and	and	CCONJ
ejpam-3410	152	22	−6[2λ(7λ−20)+35	−6[2λ(7λ−20)+35	NOUN
ejpam-3410	152	23	]	]	X
ejpam-3410	152	24	7(5−2λ)2	7(5−2λ)2	X
ejpam-3410	152	25	respectively	respectively	ADV
ejpam-3410	152	26	.	.	PUNCT
ejpam-3410	153	1	proof	proof	NOUN
ejpam-3410	153	2	.	.	PUNCT
ejpam-3410	154	1	the	the	DET
ejpam-3410	154	2	rth	rth	PROPN
ejpam-3410	154	3	raw	raw	ADJ
ejpam-3410	154	4	moment	moment	NOUN
ejpam-3410	154	5	is	be	AUX
ejpam-3410	154	6	defined	define	VERB
ejpam-3410	154	7	as	as	ADP
ejpam-3410	154	8	µ′r	µ′r	NOUN
ejpam-3410	154	9	=	=	SYM
ejpam-3410	154	10	e(xr	e(xr	PROPN
ejpam-3410	154	11	)	)	PUNCT
ejpam-3410	154	12	=	=	SYM
ejpam-3410	155	1	∫	∫	PROPN
ejpam-3410	155	2	1	1	NUM
ejpam-3410	155	3	0	0	NUM
ejpam-3410	155	4	xrf(x)dx	xrf(x)dx	PUNCT
ejpam-3410	156	1	=	=	SYM
ejpam-3410	156	2	∫	∫	PROPN
ejpam-3410	156	3	1	1	NUM
ejpam-3410	156	4	0	0	NUM
ejpam-3410	156	5	xr	xr	PROPN
ejpam-3410	156	6	[	[	PUNCT
ejpam-3410	156	7	(	(	PUNCT
ejpam-3410	156	8	1−	1−	NUM
ejpam-3410	156	9	λ	λ	NOUN
ejpam-3410	156	10	)	)	PUNCT
ejpam-3410	156	11	+	+	NUM
ejpam-3410	156	12	6λx−	6λx−	NUM
ejpam-3410	156	13	6λx2	6λx2	NUM
ejpam-3410	156	14	]	]	PUNCT
ejpam-3410	156	15	dx	dx	PROPN
ejpam-3410	157	1	=	=	SYM
ejpam-3410	157	2	(	(	PUNCT
ejpam-3410	157	3	1−	1−	NUM
ejpam-3410	157	4	λ	λ	NOUN
ejpam-3410	157	5	)	)	PUNCT
ejpam-3410	157	6	∫	∫	PROPN
ejpam-3410	158	1	1	1	NUM
ejpam-3410	158	2	0	0	NUM
ejpam-3410	158	3	xrdx+	xrdx+	NUM
ejpam-3410	158	4	6λ	6λ	NUM
ejpam-3410	158	5	∫	∫	PROPN
ejpam-3410	158	6	1	1	NUM
ejpam-3410	158	7	0	0	NUM
ejpam-3410	158	8	xr+1dx−	xr+1dx−	NOUN
ejpam-3410	158	9	6λ	6λ	NUM
ejpam-3410	158	10	∫	∫	PROPN
ejpam-3410	158	11	1	1	NUM
ejpam-3410	158	12	0	0	NUM
ejpam-3410	159	1	xr+2dx	xr+2dx	PROPN
ejpam-3410	159	2	=	=	X
ejpam-3410	159	3	(	(	PUNCT
ejpam-3410	159	4	1−	1−	NUM
ejpam-3410	159	5	λ	λ	NOUN
ejpam-3410	159	6	)	)	PUNCT
ejpam-3410	159	7	(	(	PUNCT
ejpam-3410	159	8	r	r	NOUN
ejpam-3410	159	9	+	+	NOUN
ejpam-3410	159	10	1	1	NUM
ejpam-3410	159	11	)	)	PUNCT
ejpam-3410	160	1	+	+	NUM
ejpam-3410	160	2	6λ	6λ	NUM
ejpam-3410	160	3	(	(	PUNCT
ejpam-3410	160	4	r	r	NOUN
ejpam-3410	160	5	+	+	NOUN
ejpam-3410	160	6	2	2	NUM
ejpam-3410	160	7	)	)	PUNCT
ejpam-3410	160	8	−	−	PROPN
ejpam-3410	160	9	6λ	6λ	NUM
ejpam-3410	160	10	(	(	PUNCT
ejpam-3410	160	11	r	r	NOUN
ejpam-3410	160	12	+	+	NOUN
ejpam-3410	160	13	3	3	NUM
ejpam-3410	160	14	)	)	PUNCT
ejpam-3410	160	15	=	=	SYM
ejpam-3410	160	16	r(λ−	r(λ−	NUM
ejpam-3410	160	17	λr	λr	NOUN
ejpam-3410	161	1	+	+	CCONJ
ejpam-3410	161	2	r	r	NOUN
ejpam-3410	161	3	+	+	NOUN
ejpam-3410	161	4	5	5	NUM
ejpam-3410	161	5	)	)	PUNCT
ejpam-3410	161	6	+	+	CCONJ
ejpam-3410	161	7	6	6	NUM
ejpam-3410	161	8	(	(	PUNCT
ejpam-3410	161	9	r	r	NOUN
ejpam-3410	161	10	+	+	NUM
ejpam-3410	161	11	1)(r	1)(r	NUM
ejpam-3410	161	12	+	+	SYM
ejpam-3410	161	13	2)(r	2)(r	NUM
ejpam-3410	161	14	+	+	CCONJ
ejpam-3410	161	15	3	3	NUM
ejpam-3410	161	16	)	)	PUNCT
ejpam-3410	161	17	.	.	PUNCT
ejpam-3410	162	1	(	(	PUNCT
ejpam-3410	162	2	10	10	NUM
ejpam-3410	162	3	)	)	PUNCT
ejpam-3410	162	4	mean	mean	NOUN
ejpam-3410	162	5	of	of	ADP
ejpam-3410	162	6	the	the	DET
ejpam-3410	162	7	distribution	distribution	NOUN
ejpam-3410	162	8	is	be	AUX
ejpam-3410	162	9	obtained	obtain	VERB
ejpam-3410	162	10	by	by	ADP
ejpam-3410	162	11	using	use	VERB
ejpam-3410	162	12	r	r	NOUN
ejpam-3410	162	13	=	=	SYM
ejpam-3410	162	14	1	1	NUM
ejpam-3410	162	15	in	in	ADP
ejpam-3410	162	16	(	(	PUNCT
ejpam-3410	162	17	10	10	NUM
ejpam-3410	162	18	)	)	PUNCT
ejpam-3410	162	19	and	and	CCONJ
ejpam-3410	162	20	is	be	AUX
ejpam-3410	162	21	µ	µ	NOUN
ejpam-3410	162	22	=	=	PUNCT
ejpam-3410	162	23	µ′1	µ′1	NOUN
ejpam-3410	162	24	=	=	SYM
ejpam-3410	162	25	1	1	NUM
ejpam-3410	162	26	2	2	NUM
ejpam-3410	162	27	.	.	PUNCT
ejpam-3410	163	1	we	we	PRON
ejpam-3410	163	2	can	can	AUX
ejpam-3410	163	3	see	see	VERB
ejpam-3410	163	4	that	that	DET
ejpam-3410	163	5	mean	mean	NOUN
ejpam-3410	163	6	of	of	ADP
ejpam-3410	163	7	ctu	ctu	ADJ
ejpam-3410	163	8	distribution	distribution	NOUN
ejpam-3410	163	9	is	be	AUX
ejpam-3410	163	10	same	same	ADJ
ejpam-3410	163	11	as	as	ADP
ejpam-3410	163	12	the	the	DET
ejpam-3410	163	13	uniform	uniform	ADJ
ejpam-3410	163	14	distribution	distribution	NOUN
ejpam-3410	163	15	over	over	ADP
ejpam-3410	163	16	[	[	X
ejpam-3410	163	17	0	0	NUM
ejpam-3410	163	18	,	,	PUNCT
ejpam-3410	163	19	1	1	NUM
ejpam-3410	163	20	]	]	PUNCT
ejpam-3410	163	21	.	.	PUNCT
ejpam-3410	164	1	the	the	DET
ejpam-3410	164	2	variance	variance	NOUN
ejpam-3410	164	3	of	of	ADP
ejpam-3410	164	4	proposed	propose	VERB
ejpam-3410	164	5	ctu	ctu	NOUN
ejpam-3410	164	6	distribution	distribution	NOUN
ejpam-3410	164	7	obtained	obtain	VERB
ejpam-3410	164	8	as	as	ADP
ejpam-3410	164	9	σ2	σ2	PROPN
ejpam-3410	164	10	=	=	SYM
ejpam-3410	164	11	µ2	µ2	PROPN
ejpam-3410	164	12	=	=	PUNCT
ejpam-3410	164	13	µ′2	µ′2	ADV
ejpam-3410	164	14	−	−	PROPN
ejpam-3410	164	15	(	(	PUNCT
ejpam-3410	164	16	µ′1	µ′1	X
ejpam-3410	164	17	)	)	PUNCT
ejpam-3410	164	18	2	2	NUM
ejpam-3410	164	19	=	=	SYM
ejpam-3410	164	20	1	1	NUM
ejpam-3410	164	21	60	60	NUM
ejpam-3410	164	22	(	(	PUNCT
ejpam-3410	164	23	2(7−	2(7−	NUM
ejpam-3410	164	24	λ	λ	NOUN
ejpam-3410	164	25	)	)	PUNCT
ejpam-3410	164	26	+	+	X
ejpam-3410	165	1	6)−	6)−	NUM
ejpam-3410	165	2	1	1	NUM
ejpam-3410	165	3	4	4	NUM
ejpam-3410	165	4	=	=	SYM
ejpam-3410	165	5	1	1	NUM
ejpam-3410	165	6	60	60	NUM
ejpam-3410	165	7	(	(	PUNCT
ejpam-3410	165	8	5−	5−	NUM
ejpam-3410	165	9	2λ	2λ	NUM
ejpam-3410	165	10	)	)	PUNCT
ejpam-3410	165	11	.	.	PUNCT
ejpam-3410	166	1	the	the	DET
ejpam-3410	166	2	coefficient	coefficient	NOUN
ejpam-3410	166	3	of	of	ADP
ejpam-3410	166	4	skewness	skewness	NOUN
ejpam-3410	166	5	for	for	ADP
ejpam-3410	166	6	the	the	DET
ejpam-3410	166	7	proposed	propose	VERB
ejpam-3410	166	8	ctu	ctu	NOUN
ejpam-3410	166	9	distribution	distribution	NOUN
ejpam-3410	166	10	is	be	AUX
ejpam-3410	166	11	γ1	γ1	NOUN
ejpam-3410	166	12	=	=	SYM
ejpam-3410	166	13	√	√	ADP
ejpam-3410	167	1	β1	β1	NOUN
ejpam-3410	167	2	=	=	SYM
ejpam-3410	167	3	e	e	X
ejpam-3410	168	1	[	[	X
ejpam-3410	168	2	(	(	PUNCT
ejpam-3410	168	3	x−	x−	PROPN
ejpam-3410	168	4	µ	µ	PROPN
ejpam-3410	168	5	σ	σ	X
ejpam-3410	168	6	)	)	PUNCT
ejpam-3410	168	7	3	3	NUM
ejpam-3410	168	8	]	]	PUNCT
ejpam-3410	168	9	=	=	PUNCT
ejpam-3410	168	10	0	0	NUM
ejpam-3410	168	11	,	,	PUNCT
ejpam-3410	168	12	whereas	whereas	SCONJ
ejpam-3410	168	13	the	the	DET
ejpam-3410	168	14	coefficient	coefficient	NOUN
ejpam-3410	168	15	of	of	ADP
ejpam-3410	168	16	kurtosis	kurtosis	NOUN
ejpam-3410	168	17	is	be	AUX
ejpam-3410	168	18	γ2	γ2	NOUN
ejpam-3410	168	19	=	=	SYM
ejpam-3410	168	20	β2	β2	NOUN
ejpam-3410	168	21	−	−	PROPN
ejpam-3410	168	22	3	3	NUM
ejpam-3410	168	23	=	=	SYM
ejpam-3410	168	24	e	e	X
ejpam-3410	168	25	[	[	X
ejpam-3410	168	26	(	(	PUNCT
ejpam-3410	168	27	x−	x−	PROPN
ejpam-3410	168	28	µ	µ	PROPN
ejpam-3410	168	29	σ	σ	X
ejpam-3410	168	30	)	)	PUNCT
ejpam-3410	168	31	4	4	NUM
ejpam-3410	168	32	]	]	PUNCT
ejpam-3410	168	33	−	−	PROPN
ejpam-3410	168	34	3	3	NUM
ejpam-3410	168	35	=	=	SYM
ejpam-3410	168	36	45(7−	45(7−	NUM
ejpam-3410	168	37	4λ	4λ	NOUN
ejpam-3410	168	38	)	)	PUNCT
ejpam-3410	169	1	7(5−	7(5−	ADP
ejpam-3410	169	2	2λ)2	2λ)2	NUM
ejpam-3410	169	3	−	−	NOUN
ejpam-3410	169	4	3	3	NUM
ejpam-3410	169	5	=	=	SYM
ejpam-3410	169	6	−6	−6	NOUN
ejpam-3410	170	1	[	[	X
ejpam-3410	170	2	2λ(7λ−	2λ(7λ−	NUM
ejpam-3410	170	3	20	20	NUM
ejpam-3410	170	4	)	)	PUNCT
ejpam-3410	170	5	+	+	CCONJ
ejpam-3410	170	6	35	35	NUM
ejpam-3410	170	7	]	]	SYM
ejpam-3410	170	8	7(5−	7(5−	NUM
ejpam-3410	170	9	2λ)2	2λ)2	NUM
ejpam-3410	170	10	.	.	PUNCT
ejpam-3410	171	1	the	the	DET
ejpam-3410	171	2	proof	proof	NOUN
ejpam-3410	171	3	is	be	AUX
ejpam-3410	171	4	completed	complete	VERB
ejpam-3410	171	5	.	.	PUNCT
ejpam-3410	172	1	m.	m.	NOUN
ejpam-3410	172	2	q.	q.	PROPN
ejpam-3410	172	3	shahbaz	shahbaz	PROPN
ejpam-3410	172	4	et	et	PROPN
ejpam-3410	172	5	al	al	PROPN
ejpam-3410	172	6	.	.	PUNCT
ejpam-3410	172	7	/	/	SYM
ejpam-3410	172	8	eur	eur	PROPN
ejpam-3410	172	9	.	.	PUNCT
ejpam-3410	173	1	j.	j.	PROPN
ejpam-3410	173	2	pure	pure	PROPN
ejpam-3410	173	3	appl	appl	PROPN
ejpam-3410	173	4	.	.	PROPN
ejpam-3410	173	5	math	math	PROPN
ejpam-3410	173	6	,	,	PUNCT
ejpam-3410	173	7	12	12	NUM
ejpam-3410	173	8	(	(	PUNCT
ejpam-3410	173	9	3	3	NUM
ejpam-3410	173	10	)	)	PUNCT
ejpam-3410	173	11	(	(	PUNCT
ejpam-3410	173	12	2019	2019	NUM
ejpam-3410	173	13	)	)	PUNCT
ejpam-3410	173	14	,	,	PUNCT
ejpam-3410	173	15	1106	1106	NUM
ejpam-3410	173	16	-	-	SYM
ejpam-3410	173	17	1121	1121	NUM
ejpam-3410	173	18	1113	1113	NUM
ejpam-3410	173	19	4.2	4.2	NUM
ejpam-3410	173	20	.	.	PUNCT
ejpam-3410	174	1	moments	moment	NOUN
ejpam-3410	174	2	generating	generate	VERB
ejpam-3410	174	3	function	function	NOUN
ejpam-3410	174	4	the	the	DET
ejpam-3410	174	5	moment	moment	NOUN
ejpam-3410	174	6	generating	generate	VERB
ejpam-3410	174	7	function	function	NOUN
ejpam-3410	174	8	(	(	PUNCT
ejpam-3410	174	9	mgf	mgf	PROPN
ejpam-3410	174	10	)	)	PUNCT
ejpam-3410	174	11	is	be	AUX
ejpam-3410	174	12	used	use	VERB
ejpam-3410	174	13	to	to	PART
ejpam-3410	174	14	obtain	obtain	VERB
ejpam-3410	174	15	the	the	DET
ejpam-3410	174	16	moments	moment	NOUN
ejpam-3410	174	17	of	of	ADP
ejpam-3410	174	18	a	a	DET
ejpam-3410	174	19	distribution	distribution	NOUN
ejpam-3410	174	20	.	.	PUNCT
ejpam-3410	175	1	the	the	DET
ejpam-3410	175	2	mgf	mgf	PROPN
ejpam-3410	175	3	of	of	ADP
ejpam-3410	175	4	ctu	ctu	NOUN
ejpam-3410	175	5	distribution	distribution	NOUN
ejpam-3410	175	6	is	be	AUX
ejpam-3410	175	7	given	give	VERB
ejpam-3410	175	8	in	in	ADP
ejpam-3410	175	9	the	the	DET
ejpam-3410	175	10	following	follow	VERB
ejpam-3410	175	11	theorem	theorem	NOUN
ejpam-3410	175	12	.	.	PUNCT
ejpam-3410	175	13	theorem	theorem	NOUN
ejpam-3410	175	14	4	4	NUM
ejpam-3410	175	15	.	.	PUNCT
ejpam-3410	176	1	let	let	VERB
ejpam-3410	176	2	x	x	PRON
ejpam-3410	176	3	follows	follow	VERB
ejpam-3410	176	4	the	the	DET
ejpam-3410	176	5	ctu	ctu	ADJ
ejpam-3410	176	6	distribution	distribution	NOUN
ejpam-3410	176	7	,	,	PUNCT
ejpam-3410	176	8	then	then	ADV
ejpam-3410	176	9	the	the	DET
ejpam-3410	176	10	moment	moment	NOUN
ejpam-3410	176	11	generating	generate	VERB
ejpam-3410	176	12	function	function	NOUN
ejpam-3410	176	13	,	,	PUNCT
ejpam-3410	176	14	mx(t	mx(t	NUM
ejpam-3410	176	15	)	)	PUNCT
ejpam-3410	176	16	is	be	AUX
ejpam-3410	176	17	given	give	VERB
ejpam-3410	176	18	as	as	ADP
ejpam-3410	176	19	mx(t	mx(t	NOUN
ejpam-3410	176	20	)	)	PUNCT
ejpam-3410	176	21	=	=	PUNCT
ejpam-3410	177	1	∞∑	∞∑	NUM
ejpam-3410	177	2	r=0	r=0	NUM
ejpam-3410	177	3	tr	tr	NOUN
ejpam-3410	177	4	r	r	NOUN
ejpam-3410	177	5	!	!	NOUN
ejpam-3410	177	6	r(λ−	r(λ−	NUM
ejpam-3410	177	7	λr	λr	NOUN
ejpam-3410	177	8	+	+	CCONJ
ejpam-3410	177	9	r	r	NOUN
ejpam-3410	177	10	+	+	NOUN
ejpam-3410	177	11	5	5	NUM
ejpam-3410	177	12	)	)	PUNCT
ejpam-3410	177	13	+	+	CCONJ
ejpam-3410	177	14	6	6	NUM
ejpam-3410	177	15	(	(	PUNCT
ejpam-3410	177	16	r	r	NOUN
ejpam-3410	177	17	+	+	NUM
ejpam-3410	177	18	1)(r	1)(r	NUM
ejpam-3410	177	19	+	+	SYM
ejpam-3410	177	20	2)(r	2)(r	NUM
ejpam-3410	177	21	+	+	CCONJ
ejpam-3410	177	22	3	3	NUM
ejpam-3410	177	23	)	)	PUNCT
ejpam-3410	177	24	,	,	PUNCT
ejpam-3410	177	25	(	(	PUNCT
ejpam-3410	177	26	11	11	NUM
ejpam-3410	177	27	)	)	PUNCT
ejpam-3410	177	28	where	where	SCONJ
ejpam-3410	177	29	t	t	PROPN
ejpam-3410	177	30	∈	∈	PROPN
ejpam-3410	177	31	r.	r.	PROPN
ejpam-3410	177	32	proof	proof	NOUN
ejpam-3410	177	33	.	.	PUNCT
ejpam-3410	178	1	the	the	DET
ejpam-3410	178	2	moment	moment	NOUN
ejpam-3410	178	3	generating	generate	VERB
ejpam-3410	178	4	function	function	NOUN
ejpam-3410	178	5	of	of	ADP
ejpam-3410	178	6	ctu	ctu	ADJ
ejpam-3410	178	7	distribution	distribution	NOUN
ejpam-3410	178	8	is	be	AUX
ejpam-3410	178	9	obtained	obtain	VERB
ejpam-3410	178	10	by	by	ADP
ejpam-3410	178	11	using	use	VERB
ejpam-3410	178	12	mx(t	mx(t	NOUN
ejpam-3410	178	13	)	)	PUNCT
ejpam-3410	179	1	=	=	SYM
ejpam-3410	179	2	∫	∫	PROPN
ejpam-3410	179	3	1	1	NUM
ejpam-3410	179	4	0	0	NUM
ejpam-3410	179	5	etxf(x)dx	etxf(x)dx	ADP
ejpam-3410	179	6	where	where	SCONJ
ejpam-3410	179	7	f(x	f(x	PROPN
ejpam-3410	179	8	)	)	PUNCT
ejpam-3410	179	9	is	be	AUX
ejpam-3410	179	10	given	give	VERB
ejpam-3410	179	11	in	in	ADP
ejpam-3410	179	12	(	(	PUNCT
ejpam-3410	179	13	9	9	NUM
ejpam-3410	179	14	)	)	PUNCT
ejpam-3410	179	15	.	.	PUNCT
ejpam-3410	180	1	using	use	VERB
ejpam-3410	180	2	the	the	DET
ejpam-3410	180	3	series	series	NOUN
ejpam-3410	180	4	representation	representation	NOUN
ejpam-3410	180	5	of	of	ADP
ejpam-3410	180	6	etx	etx	NOUN
ejpam-3410	180	7	given	give	VERB
ejpam-3410	180	8	in	in	ADP
ejpam-3410	180	9	gradshteyn	gradshteyn	PROPN
ejpam-3410	180	10	and	and	CCONJ
ejpam-3410	180	11	ryzhik	ryzhik	ADJ
ejpam-3410	180	12	[	[	X
ejpam-3410	180	13	10	10	NUM
ejpam-3410	180	14	]	]	PUNCT
ejpam-3410	180	15	,	,	PUNCT
ejpam-3410	180	16	we	we	PRON
ejpam-3410	180	17	have	have	VERB
ejpam-3410	180	18	mx(t	mx(t	NOUN
ejpam-3410	180	19	)	)	PUNCT
ejpam-3410	181	1	=	=	SYM
ejpam-3410	181	2	∫	∫	PROPN
ejpam-3410	182	1	1	1	NUM
ejpam-3410	182	2	0	0	X
ejpam-3410	183	1	∞∑	∞∑	NUM
ejpam-3410	183	2	r=0	r=0	PROPN
ejpam-3410	183	3	tr	tr	NOUN
ejpam-3410	183	4	r	r	NOUN
ejpam-3410	183	5	!	!	PUNCT
ejpam-3410	183	6	xrf(x)dt	xrf(x)dt	PUNCT
ejpam-3410	184	1	=	=	PUNCT
ejpam-3410	185	1	∞∑	∞∑	NUM
ejpam-3410	185	2	r=0	r=0	NUM
ejpam-3410	185	3	tr	tr	NOUN
ejpam-3410	185	4	r	r	NOUN
ejpam-3410	185	5	!	!	PUNCT
ejpam-3410	185	6	e(xr	e(xr	PROPN
ejpam-3410	185	7	)	)	PUNCT
ejpam-3410	185	8	.	.	PUNCT
ejpam-3410	186	1	(	(	PUNCT
ejpam-3410	186	2	12	12	NUM
ejpam-3410	186	3	)	)	PUNCT
ejpam-3410	186	4	using	use	VERB
ejpam-3410	186	5	e(xr	e(xr	NOUN
ejpam-3410	186	6	)	)	PUNCT
ejpam-3410	186	7	from	from	ADP
ejpam-3410	186	8	(	(	PUNCT
ejpam-3410	186	9	10	10	NUM
ejpam-3410	186	10	)	)	PUNCT
ejpam-3410	186	11	in	in	ADP
ejpam-3410	186	12	(	(	PUNCT
ejpam-3410	186	13	12	12	NUM
ejpam-3410	186	14	)	)	PUNCT
ejpam-3410	186	15	,	,	PUNCT
ejpam-3410	186	16	we	we	PRON
ejpam-3410	186	17	have	have	VERB
ejpam-3410	186	18	(	(	PUNCT
ejpam-3410	186	19	11	11	NUM
ejpam-3410	186	20	)	)	PUNCT
ejpam-3410	186	21	.	.	PUNCT
ejpam-3410	187	1	4.3	4.3	NUM
ejpam-3410	187	2	.	.	PUNCT
ejpam-3410	187	3	characteristic	characteristic	ADJ
ejpam-3410	187	4	function	function	NOUN
ejpam-3410	187	5	characteristic	characteristic	ADJ
ejpam-3410	187	6	function	function	NOUN
ejpam-3410	187	7	defines	define	VERB
ejpam-3410	187	8	its	its	PRON
ejpam-3410	187	9	probability	probability	NOUN
ejpam-3410	187	10	distribution	distribution	NOUN
ejpam-3410	187	11	completely	completely	ADV
ejpam-3410	187	12	.	.	PUNCT
ejpam-3410	188	1	the	the	DET
ejpam-3410	188	2	characteristic	characteristic	ADJ
ejpam-3410	188	3	function	function	NOUN
ejpam-3410	188	4	of	of	ADP
ejpam-3410	188	5	ctu	ctu	ADJ
ejpam-3410	188	6	distribution	distribution	NOUN
ejpam-3410	188	7	is	be	AUX
ejpam-3410	188	8	stated	state	VERB
ejpam-3410	188	9	by	by	ADP
ejpam-3410	188	10	the	the	DET
ejpam-3410	188	11	following	follow	VERB
ejpam-3410	188	12	theorem	theorem	PROPN
ejpam-3410	188	13	.	.	PUNCT
ejpam-3410	188	14	theorem	theorem	NOUN
ejpam-3410	188	15	5	5	NUM
ejpam-3410	188	16	.	.	PUNCT
ejpam-3410	189	1	let	let	VERB
ejpam-3410	189	2	x	x	PRON
ejpam-3410	189	3	have	have	VERB
ejpam-3410	189	4	the	the	DET
ejpam-3410	189	5	ctu	ctu	ADJ
ejpam-3410	189	6	distribution	distribution	NOUN
ejpam-3410	189	7	,	,	PUNCT
ejpam-3410	189	8	then	then	ADV
ejpam-3410	189	9	characteristic	characteristic	ADJ
ejpam-3410	189	10	function	function	NOUN
ejpam-3410	189	11	,	,	PUNCT
ejpam-3410	189	12	φx(t	φx(t	NOUN
ejpam-3410	189	13	)	)	PUNCT
ejpam-3410	189	14	,	,	PUNCT
ejpam-3410	189	15	of	of	ADP
ejpam-3410	189	16	x	x	PRON
ejpam-3410	189	17	is	be	AUX
ejpam-3410	189	18	given	give	VERB
ejpam-3410	189	19	as	as	ADP
ejpam-3410	189	20	φx(t	φx(t	NOUN
ejpam-3410	189	21	)	)	PUNCT
ejpam-3410	189	22	=	=	PUNCT
ejpam-3410	190	1	1∑	1∑	NUM
ejpam-3410	190	2	r=0	r=0	PROPN
ejpam-3410	190	3	(	(	PUNCT
ejpam-3410	190	4	it)r	it)r	PROPN
ejpam-3410	190	5	r	r	NOUN
ejpam-3410	190	6	!	!	PUNCT
ejpam-3410	190	7	r(λ−	r(λ−	NUM
ejpam-3410	190	8	λr	λr	NOUN
ejpam-3410	190	9	+	+	CCONJ
ejpam-3410	190	10	r	r	NOUN
ejpam-3410	190	11	+	+	NOUN
ejpam-3410	190	12	5	5	NUM
ejpam-3410	190	13	)	)	PUNCT
ejpam-3410	190	14	+	+	CCONJ
ejpam-3410	190	15	6	6	NUM
ejpam-3410	190	16	(	(	PUNCT
ejpam-3410	190	17	r	r	NOUN
ejpam-3410	190	18	+	+	NUM
ejpam-3410	190	19	1)(r	1)(r	NUM
ejpam-3410	190	20	+	+	SYM
ejpam-3410	190	21	2)(r	2)(r	NUM
ejpam-3410	190	22	+	+	CCONJ
ejpam-3410	190	23	3	3	NUM
ejpam-3410	190	24	)	)	PUNCT
ejpam-3410	190	25	,	,	PUNCT
ejpam-3410	190	26	where	where	SCONJ
ejpam-3410	190	27	i	i	PRON
ejpam-3410	190	28	=	=	SYM
ejpam-3410	190	29	√	√	VERB
ejpam-3410	190	30	−1	−1	NOUN
ejpam-3410	190	31	is	be	AUX
ejpam-3410	190	32	the	the	DET
ejpam-3410	190	33	imaginary	imaginary	ADJ
ejpam-3410	190	34	unit	unit	NOUN
ejpam-3410	190	35	and	and	CCONJ
ejpam-3410	190	36	t	t	PROPN
ejpam-3410	190	37	∈	∈	PROPN
ejpam-3410	190	38	r.	r.	PROPN
ejpam-3410	190	39	proof	proof	NOUN
ejpam-3410	190	40	.	.	PUNCT
ejpam-3410	191	1	the	the	DET
ejpam-3410	191	2	proof	proof	NOUN
ejpam-3410	191	3	is	be	AUX
ejpam-3410	191	4	simple	simple	ADJ
ejpam-3410	191	5	as	as	ADP
ejpam-3410	191	6	mgf	mgf	PROPN
ejpam-3410	191	7	.	.	PUNCT
ejpam-3410	192	1	m.	m.	PROPN
ejpam-3410	192	2	q.	q.	PROPN
ejpam-3410	192	3	shahbaz	shahbaz	PROPN
ejpam-3410	192	4	et	et	PROPN
ejpam-3410	192	5	al	al	PROPN
ejpam-3410	192	6	.	.	PUNCT
ejpam-3410	192	7	/	/	SYM
ejpam-3410	192	8	eur	eur	PROPN
ejpam-3410	192	9	.	.	PUNCT
ejpam-3410	193	1	j.	j.	PROPN
ejpam-3410	193	2	pure	pure	PROPN
ejpam-3410	193	3	appl	appl	PROPN
ejpam-3410	193	4	.	.	PROPN
ejpam-3410	193	5	math	math	PROPN
ejpam-3410	193	6	,	,	PUNCT
ejpam-3410	193	7	12	12	NUM
ejpam-3410	193	8	(	(	PUNCT
ejpam-3410	193	9	3	3	NUM
ejpam-3410	193	10	)	)	PUNCT
ejpam-3410	193	11	(	(	PUNCT
ejpam-3410	193	12	2019	2019	NUM
ejpam-3410	193	13	)	)	PUNCT
ejpam-3410	193	14	,	,	PUNCT
ejpam-3410	193	15	1106	1106	NUM
ejpam-3410	193	16	-	-	SYM
ejpam-3410	193	17	1121	1121	NUM
ejpam-3410	193	18	1114	1114	NUM
ejpam-3410	193	19	4.4	4.4	NUM
ejpam-3410	193	20	.	.	PUNCT
ejpam-3410	194	1	mean	mean	VERB
ejpam-3410	194	2	absolute	absolute	ADJ
ejpam-3410	194	3	deviation	deviation	NOUN
ejpam-3410	194	4	let	let	VERB
ejpam-3410	194	5	a	a	DET
ejpam-3410	194	6	random	random	ADJ
ejpam-3410	194	7	variable	variable	NOUN
ejpam-3410	194	8	x	x	PUNCT
ejpam-3410	194	9	has	have	VERB
ejpam-3410	194	10	the	the	DET
ejpam-3410	194	11	ctu	ctu	ADJ
ejpam-3410	194	12	distribution	distribution	NOUN
ejpam-3410	194	13	.	.	PUNCT
ejpam-3410	195	1	the	the	DET
ejpam-3410	195	2	mean	mean	ADJ
ejpam-3410	195	3	absolute	absolute	ADJ
ejpam-3410	195	4	deviation	deviation	NOUN
ejpam-3410	195	5	(	(	PUNCT
ejpam-3410	195	6	mad	mad	ADJ
ejpam-3410	195	7	)	)	PUNCT
ejpam-3410	195	8	about	about	ADP
ejpam-3410	195	9	mean	mean	VERB
ejpam-3410	195	10	can	can	AUX
ejpam-3410	195	11	be	be	AUX
ejpam-3410	195	12	obtained	obtain	VERB
ejpam-3410	195	13	for	for	ADP
ejpam-3410	195	14	ctu	ctu	ADJ
ejpam-3410	195	15	distribution	distribution	NOUN
ejpam-3410	195	16	as	as	ADP
ejpam-3410	195	17	η	η	PROPN
ejpam-3410	195	18	=	=	SYM
ejpam-3410	195	19	e|x−	e|x−	PROPN
ejpam-3410	195	20	e(x)|	e(x)|	VERB
ejpam-3410	195	21	=	=	SYM
ejpam-3410	195	22	4−	4−	NUM
ejpam-3410	196	1	λ	λ	NOUN
ejpam-3410	196	2	16	16	NUM
ejpam-3410	196	3	.	.	PUNCT
ejpam-3410	197	1	this	this	DET
ejpam-3410	197	2	mad	mad	ADJ
ejpam-3410	197	3	is	be	AUX
ejpam-3410	197	4	easier	easy	ADJ
ejpam-3410	197	5	to	to	PART
ejpam-3410	197	6	understand	understand	VERB
ejpam-3410	197	7	and	and	CCONJ
ejpam-3410	197	8	easier	easy	ADJ
ejpam-3410	197	9	to	to	PART
ejpam-3410	197	10	compute	compute	VERB
ejpam-3410	197	11	.	.	PUNCT
ejpam-3410	198	1	4.5	4.5	NUM
ejpam-3410	198	2	.	.	PUNCT
ejpam-3410	199	1	quantile	quantile	ADJ
ejpam-3410	199	2	function	function	NOUN
ejpam-3410	199	3	and	and	CCONJ
ejpam-3410	199	4	median	median	NOUN
ejpam-3410	199	5	the	the	DET
ejpam-3410	199	6	quantile	quantile	ADJ
ejpam-3410	199	7	function	function	NOUN
ejpam-3410	199	8	for	for	ADP
ejpam-3410	199	9	ctu	ctu	ADJ
ejpam-3410	199	10	distribution	distribution	NOUN
ejpam-3410	199	11	is	be	AUX
ejpam-3410	199	12	obtained	obtain	VERB
ejpam-3410	199	13	by	by	ADP
ejpam-3410	199	14	solving	solve	VERB
ejpam-3410	199	15	(	(	PUNCT
ejpam-3410	199	16	8)	8)	NUM
ejpam-3410	199	17	for	for	ADP
ejpam-3410	199	18	x	x	PUNCT
ejpam-3410	199	19	and	and	CCONJ
ejpam-3410	199	20	is	be	AUX
ejpam-3410	199	21	obtain	obtain	ADJ
ejpam-3410	199	22	as	as	ADP
ejpam-3410	199	23	xq	xq	PROPN
ejpam-3410	199	24	=	=	PROPN
ejpam-3410	199	25	1	1	NUM
ejpam-3410	199	26	2	2	NUM
ejpam-3410	199	27	−	−	NUM
ejpam-3410	199	28	3	3	NUM
ejpam-3410	199	29	√	√	NOUN
ejpam-3410	199	30	η1	η1	NOUN
ejpam-3410	199	31	+	+	CCONJ
ejpam-3410	199	32	√	√	NUM
ejpam-3410	199	33	4η32	4η32	NOUN
ejpam-3410	200	1	+	+	CCONJ
ejpam-3410	200	2	η21	η21	PROPN
ejpam-3410	200	3	6	6	NUM
ejpam-3410	200	4	3	3	NUM
ejpam-3410	200	5	√	√	PROPN
ejpam-3410	200	6	2λ	2λ	NOUN
ejpam-3410	200	7	+	+	CCONJ
ejpam-3410	200	8	η2	η2	ADJ
ejpam-3410	200	9	3	3	NUM
ejpam-3410	200	10	22/3λ	22/3λ	NUM
ejpam-3410	200	11	3	3	NUM
ejpam-3410	200	12	√	√	NOUN
ejpam-3410	200	13	η1	η1	NOUN
ejpam-3410	200	14	+	+	CCONJ
ejpam-3410	200	15	√	√	NUM
ejpam-3410	200	16	4η32	4η32	NOUN
ejpam-3410	201	1	+	+	CCONJ
ejpam-3410	201	2	η21	η21	PROPN
ejpam-3410	201	3	,	,	PUNCT
ejpam-3410	201	4	(	(	PUNCT
ejpam-3410	201	5	13	13	NUM
ejpam-3410	201	6	)	)	PUNCT
ejpam-3410	201	7	where	where	SCONJ
ejpam-3410	201	8	η1	η1	X
ejpam-3410	201	9	=	=	PUNCT
ejpam-3410	201	10	−54λ2	−54λ2	PROPN
ejpam-3410	201	11	+	+	NUM
ejpam-3410	201	12	108λ2q	108λ2q	NUM
ejpam-3410	201	13	and	and	CCONJ
ejpam-3410	201	14	η2	η2	ADJ
ejpam-3410	201	15	=	=	PUNCT
ejpam-3410	201	16	−3λ2	−3λ2	NUM
ejpam-3410	201	17	−	−	NOUN
ejpam-3410	201	18	6λ	6λ	NUM
ejpam-3410	201	19	.	.	PUNCT
ejpam-3410	202	1	the	the	DET
ejpam-3410	202	2	first	first	ADJ
ejpam-3410	202	3	quartile	quartile	NOUN
ejpam-3410	202	4	,	,	PUNCT
ejpam-3410	202	5	median	median	ADJ
ejpam-3410	202	6	and	and	CCONJ
ejpam-3410	202	7	third	third	ADJ
ejpam-3410	202	8	quartile	quartile	NOUN
ejpam-3410	202	9	can	can	AUX
ejpam-3410	202	10	be	be	AUX
ejpam-3410	202	11	obtained	obtain	VERB
ejpam-3410	202	12	by	by	ADP
ejpam-3410	202	13	setting	set	VERB
ejpam-3410	202	14	q	q	NOUN
ejpam-3410	202	15	=	=	PUNCT
ejpam-3410	202	16	0.25	0.25	NUM
ejpam-3410	202	17	,	,	PUNCT
ejpam-3410	202	18	0.50	0.50	NUM
ejpam-3410	202	19	and	and	CCONJ
ejpam-3410	202	20	0.75	0.75	NUM
ejpam-3410	202	21	in	in	ADP
ejpam-3410	202	22	(	(	PUNCT
ejpam-3410	202	23	13	13	NUM
ejpam-3410	202	24	)	)	PUNCT
ejpam-3410	202	25	respectively	respectively	ADV
ejpam-3410	202	26	.	.	PUNCT
ejpam-3410	203	1	4.6	4.6	NUM
ejpam-3410	203	2	.	.	PUNCT
ejpam-3410	203	3	simulating	simulate	VERB
ejpam-3410	203	4	random	random	ADJ
ejpam-3410	203	5	sample	sample	NOUN
ejpam-3410	203	6	the	the	DET
ejpam-3410	203	7	random	random	ADJ
ejpam-3410	203	8	numbers	number	NOUN
ejpam-3410	203	9	can	can	AUX
ejpam-3410	203	10	be	be	AUX
ejpam-3410	203	11	drawn	draw	VERB
ejpam-3410	203	12	from	from	ADP
ejpam-3410	203	13	ctu	ctu	ADJ
ejpam-3410	203	14	distribution	distribution	NOUN
ejpam-3410	203	15	by	by	ADP
ejpam-3410	203	16	solving	solve	VERB
ejpam-3410	203	17	(	(	PUNCT
ejpam-3410	203	18	1−	1−	NUM
ejpam-3410	203	19	λ)x+	λ)x+	NOUN
ejpam-3410	203	20	3λx2	3λx2	NUM
ejpam-3410	203	21	−	−	NOUN
ejpam-3410	203	22	2λx3	2λx3	NUM
ejpam-3410	203	23	=	=	SYM
ejpam-3410	203	24	u	u	NOUN
ejpam-3410	203	25	,	,	PUNCT
ejpam-3410	203	26	for	for	ADP
ejpam-3410	203	27	x	x	X
ejpam-3410	203	28	,	,	PUNCT
ejpam-3410	203	29	where	where	SCONJ
ejpam-3410	203	30	u	u	PRON
ejpam-3410	203	31	∼	∼	VERB
ejpam-3410	203	32	u(0	u(0	PROPN
ejpam-3410	203	33	,	,	PUNCT
ejpam-3410	203	34	1	1	NUM
ejpam-3410	203	35	)	)	PUNCT
ejpam-3410	203	36	.	.	PUNCT
ejpam-3410	204	1	the	the	DET
ejpam-3410	204	2	equation	equation	NOUN
ejpam-3410	204	3	for	for	ADP
ejpam-3410	204	4	generating	generate	VERB
ejpam-3410	204	5	random	random	ADJ
ejpam-3410	204	6	sample	sample	NOUN
ejpam-3410	204	7	from	from	ADP
ejpam-3410	204	8	ctu	ctu	ADJ
ejpam-3410	204	9	distribution	distribution	NOUN
ejpam-3410	204	10	can	can	AUX
ejpam-3410	204	11	be	be	AUX
ejpam-3410	204	12	further	far	ADV
ejpam-3410	204	13	expressed	express	VERB
ejpam-3410	204	14	as	as	ADP
ejpam-3410	204	15	x	x	PROPN
ejpam-3410	204	16	=	=	SYM
ejpam-3410	204	17	1	1	NUM
ejpam-3410	204	18	2	2	NUM
ejpam-3410	204	19	−	−	NUM
ejpam-3410	204	20	3	3	NUM
ejpam-3410	204	21	√	√	NOUN
ejpam-3410	204	22	η1	η1	NOUN
ejpam-3410	204	23	+	+	CCONJ
ejpam-3410	204	24	√	√	NUM
ejpam-3410	204	25	4η32	4η32	NOUN
ejpam-3410	204	26	+	+	CCONJ
ejpam-3410	204	27	η21	η21	PROPN
ejpam-3410	204	28	6	6	NUM
ejpam-3410	204	29	3	3	NUM
ejpam-3410	204	30	√	√	PROPN
ejpam-3410	204	31	2λ	2λ	NOUN
ejpam-3410	204	32	+	+	CCONJ
ejpam-3410	204	33	η2	η2	ADJ
ejpam-3410	204	34	3	3	NUM
ejpam-3410	204	35	22/3λ	22/3λ	NUM
ejpam-3410	204	36	3	3	NUM
ejpam-3410	204	37	√	√	NOUN
ejpam-3410	204	38	η1	η1	NOUN
ejpam-3410	204	39	+	+	CCONJ
ejpam-3410	204	40	√	√	NUM
ejpam-3410	204	41	4η32	4η32	NOUN
ejpam-3410	204	42	+	+	CCONJ
ejpam-3410	204	43	η21	η21	PROPN
ejpam-3410	204	44	,	,	PUNCT
ejpam-3410	204	45	(	(	PUNCT
ejpam-3410	204	46	14	14	NUM
ejpam-3410	204	47	)	)	PUNCT
ejpam-3410	204	48	where	where	SCONJ
ejpam-3410	204	49	η1	η1	X
ejpam-3410	204	50	=	=	PUNCT
ejpam-3410	204	51	−54λ2	−54λ2	PROPN
ejpam-3410	204	52	+	+	NUM
ejpam-3410	204	53	108λ2u	108λ2u	NUM
ejpam-3410	204	54	and	and	CCONJ
ejpam-3410	204	55	η2	η2	ADJ
ejpam-3410	204	56	=	=	PUNCT
ejpam-3410	204	57	−3λ2	−3λ2	NUM
ejpam-3410	204	58	−	−	NOUN
ejpam-3410	204	59	6λ	6λ	NUM
ejpam-3410	204	60	.	.	PUNCT
ejpam-3410	205	1	one	one	PRON
ejpam-3410	205	2	can	can	AUX
ejpam-3410	205	3	generate	generate	VERB
ejpam-3410	205	4	random	random	ADJ
ejpam-3410	205	5	sample	sample	NOUN
ejpam-3410	205	6	from	from	ADP
ejpam-3410	205	7	ctu	ctu	ADJ
ejpam-3410	205	8	distribution	distribution	NOUN
ejpam-3410	205	9	using	use	VERB
ejpam-3410	205	10	(	(	PUNCT
ejpam-3410	205	11	14	14	NUM
ejpam-3410	205	12	)	)	PUNCT
ejpam-3410	205	13	for	for	ADP
ejpam-3410	205	14	various	various	ADJ
ejpam-3410	205	15	values	value	NOUN
ejpam-3410	205	16	of	of	ADP
ejpam-3410	205	17	model	model	NOUN
ejpam-3410	205	18	parameter	parameter	PROPN
ejpam-3410	205	19	λ	λ	PROPN
ejpam-3410	205	20	.	.	PROPN
ejpam-3410	205	21	4.7	4.7	NUM
ejpam-3410	205	22	.	.	PUNCT
ejpam-3410	206	1	reliability	reliability	NOUN
ejpam-3410	206	2	analysis	analysis	NOUN
ejpam-3410	206	3	the	the	DET
ejpam-3410	206	4	reliability	reliability	NOUN
ejpam-3410	206	5	function	function	NOUN
ejpam-3410	206	6	is	be	AUX
ejpam-3410	206	7	defined	define	VERB
ejpam-3410	206	8	as	as	ADP
ejpam-3410	206	9	r(t	r(t	NOUN
ejpam-3410	206	10	)	)	PUNCT
ejpam-3410	206	11	=	=	PUNCT
ejpam-3410	207	1	1−	1−	NUM
ejpam-3410	207	2	f	f	X
ejpam-3410	207	3	(	(	PUNCT
ejpam-3410	207	4	t	t	PROPN
ejpam-3410	207	5	)	)	PUNCT
ejpam-3410	207	6	and	and	CCONJ
ejpam-3410	207	7	,	,	PUNCT
ejpam-3410	207	8	for	for	ADP
ejpam-3410	207	9	ctu	ctu	ADJ
ejpam-3410	207	10	distribution	distribution	NOUN
ejpam-3410	207	11	,	,	PUNCT
ejpam-3410	207	12	it	it	PRON
ejpam-3410	207	13	is	be	AUX
ejpam-3410	207	14	r(t	r(t	NOUN
ejpam-3410	207	15	)	)	PUNCT
ejpam-3410	207	16	=	=	SYM
ejpam-3410	208	1	1−	1−	NUM
ejpam-3410	208	2	(	(	PUNCT
ejpam-3410	208	3	1−	1−	NUM
ejpam-3410	208	4	λ)t−	λ)t−	PROPN
ejpam-3410	208	5	3λt2	3λt2	NUM
ejpam-3410	208	6	+	+	NUM
ejpam-3410	208	7	2λt3	2λt3	NUM
ejpam-3410	208	8	,	,	PUNCT
ejpam-3410	208	9	t	t	PROPN
ejpam-3410	208	10	∈	∈	PROPN
ejpam-3410	209	1	[	[	X
ejpam-3410	209	2	0	0	NUM
ejpam-3410	209	3	,	,	PUNCT
ejpam-3410	209	4	1	1	NUM
ejpam-3410	209	5	]	]	PUNCT
ejpam-3410	209	6	.	.	PUNCT
ejpam-3410	210	1	the	the	DET
ejpam-3410	210	2	hazard	hazard	NOUN
ejpam-3410	210	3	function	function	NOUN
ejpam-3410	210	4	is	be	AUX
ejpam-3410	210	5	the	the	DET
ejpam-3410	210	6	ratio	ratio	NOUN
ejpam-3410	210	7	of	of	ADP
ejpam-3410	210	8	the	the	DET
ejpam-3410	210	9	probability	probability	NOUN
ejpam-3410	210	10	distribution	distribution	NOUN
ejpam-3410	210	11	function	function	NOUN
ejpam-3410	210	12	to	to	ADP
ejpam-3410	210	13	the	the	DET
ejpam-3410	210	14	reliability	reliability	NOUN
ejpam-3410	210	15	function	function	NOUN
ejpam-3410	210	16	and	and	CCONJ
ejpam-3410	210	17	is	be	AUX
ejpam-3410	210	18	given	give	VERB
ejpam-3410	210	19	as	as	ADP
ejpam-3410	210	20	h(t	h(t	NUM
ejpam-3410	210	21	)	)	PUNCT
ejpam-3410	210	22	=	=	PUNCT
ejpam-3410	210	23	(	(	PUNCT
ejpam-3410	210	24	1−	1−	NUM
ejpam-3410	210	25	λ	λ	NOUN
ejpam-3410	210	26	)	)	PUNCT
ejpam-3410	211	1	+	+	NUM
ejpam-3410	211	2	6λt−	6λt−	NUM
ejpam-3410	211	3	6λt2	6λt2	NUM
ejpam-3410	211	4	1−	1−	NUM
ejpam-3410	211	5	(	(	PUNCT
ejpam-3410	211	6	1−	1−	NUM
ejpam-3410	211	7	λ)t−	λ)t−	PROPN
ejpam-3410	211	8	3λt2	3λt2	NUM
ejpam-3410	211	9	+	+	NUM
ejpam-3410	211	10	2λt3	2λt3	NUM
ejpam-3410	211	11	,	,	PUNCT
ejpam-3410	211	12	t	t	PROPN
ejpam-3410	211	13	∈	∈	PROPN
ejpam-3410	212	1	[	[	X
ejpam-3410	212	2	0	0	NUM
ejpam-3410	212	3	,	,	PUNCT
ejpam-3410	212	4	1	1	NUM
ejpam-3410	212	5	]	]	PUNCT
ejpam-3410	212	6	.	.	PUNCT
ejpam-3410	213	1	m.	m.	PROPN
ejpam-3410	213	2	q.	q.	PROPN
ejpam-3410	213	3	shahbaz	shahbaz	PROPN
ejpam-3410	213	4	et	et	PROPN
ejpam-3410	213	5	al	al	PROPN
ejpam-3410	213	6	.	.	PUNCT
ejpam-3410	213	7	/	/	SYM
ejpam-3410	213	8	eur	eur	PROPN
ejpam-3410	213	9	.	.	PUNCT
ejpam-3410	214	1	j.	j.	PROPN
ejpam-3410	214	2	pure	pure	PROPN
ejpam-3410	214	3	appl	appl	PROPN
ejpam-3410	214	4	.	.	PROPN
ejpam-3410	214	5	math	math	PROPN
ejpam-3410	214	6	,	,	PUNCT
ejpam-3410	214	7	12	12	NUM
ejpam-3410	214	8	(	(	PUNCT
ejpam-3410	214	9	3	3	NUM
ejpam-3410	214	10	)	)	PUNCT
ejpam-3410	214	11	(	(	PUNCT
ejpam-3410	214	12	2019	2019	NUM
ejpam-3410	214	13	)	)	PUNCT
ejpam-3410	214	14	,	,	PUNCT
ejpam-3410	214	15	1106	1106	NUM
ejpam-3410	214	16	-	-	SYM
ejpam-3410	214	17	1121	1121	NUM
ejpam-3410	214	18	1115	1115	NUM
ejpam-3410	214	19	0.00	0.00	NUM
ejpam-3410	214	20	0.25	0.25	NUM
ejpam-3410	214	21	0.50	0.50	NUM
ejpam-3410	214	22	0.75	0.75	NUM
ejpam-3410	214	23	1.00	1.00	NUM
ejpam-3410	214	24	0.00	0.00	NUM
ejpam-3410	214	25	0.25	0.25	NUM
ejpam-3410	214	26	0.50	0.50	NUM
ejpam-3410	214	27	0.75	0.75	NUM
ejpam-3410	214	28	1.00	1.00	NUM
ejpam-3410	214	29	t	t	NOUN
ejpam-3410	214	30	r	r	PROPN
ejpam-3410	214	31	(	(	PUNCT
ejpam-3410	214	32	t	t	PROPN
ejpam-3410	214	33	)	)	PUNCT
ejpam-3410	214	34	parameters	parameter	NOUN
ejpam-3410	214	35	(	(	PUNCT
ejpam-3410	214	36	−0.25	−0.25	NOUN
ejpam-3410	214	37	)	)	PUNCT
ejpam-3410	214	38	(	(	PUNCT
ejpam-3410	214	39	−0.75	−0.75	ADJ
ejpam-3410	214	40	)	)	PUNCT
ejpam-3410	214	41	(	(	PUNCT
ejpam-3410	214	42	−1.00	−1.00	NOUN
ejpam-3410	214	43	)	)	PUNCT
ejpam-3410	214	44	(	(	PUNCT
ejpam-3410	214	45	0.25	0.25	NUM
ejpam-3410	214	46	)	)	PUNCT
ejpam-3410	214	47	(	(	PUNCT
ejpam-3410	214	48	0.75	0.75	NUM
ejpam-3410	214	49	)	)	PUNCT
ejpam-3410	214	50	(	(	PUNCT
ejpam-3410	214	51	1.00	1.00	NUM
ejpam-3410	214	52	)	)	PUNCT
ejpam-3410	214	53	0	0	NUM
ejpam-3410	214	54	5	5	NUM
ejpam-3410	214	55	10	10	NUM
ejpam-3410	214	56	15	15	NUM
ejpam-3410	214	57	0.00	0.00	NUM
ejpam-3410	214	58	0.25	0.25	NUM
ejpam-3410	214	59	0.50	0.50	NUM
ejpam-3410	214	60	0.75	0.75	NUM
ejpam-3410	214	61	1.00	1.00	NUM
ejpam-3410	214	62	t	t	NOUN
ejpam-3410	214	63	h	h	PROPN
ejpam-3410	214	64	(	(	PUNCT
ejpam-3410	214	65	t	t	PROPN
ejpam-3410	214	66	)	)	PUNCT
ejpam-3410	214	67	parameters	parameter	NOUN
ejpam-3410	214	68	(	(	PUNCT
ejpam-3410	214	69	−0.25	−0.25	NOUN
ejpam-3410	214	70	)	)	PUNCT
ejpam-3410	214	71	(	(	PUNCT
ejpam-3410	214	72	−0.75	−0.75	ADJ
ejpam-3410	214	73	)	)	PUNCT
ejpam-3410	214	74	(	(	PUNCT
ejpam-3410	214	75	−1.00	−1.00	NOUN
ejpam-3410	214	76	)	)	PUNCT
ejpam-3410	214	77	(	(	PUNCT
ejpam-3410	214	78	0.25	0.25	NUM
ejpam-3410	214	79	)	)	PUNCT
ejpam-3410	214	80	(	(	PUNCT
ejpam-3410	214	81	0.75	0.75	NUM
ejpam-3410	214	82	)	)	PUNCT
ejpam-3410	214	83	(	(	PUNCT
ejpam-3410	214	84	1.00	1.00	NUM
ejpam-3410	214	85	)	)	PUNCT
ejpam-3410	214	86	figure	figure	NOUN
ejpam-3410	214	87	3	3	NUM
ejpam-3410	214	88	:	:	PUNCT
ejpam-3410	214	89	reliability	reliability	NOUN
ejpam-3410	214	90	and	and	CCONJ
ejpam-3410	214	91	hazard	hazard	NOUN
ejpam-3410	214	92	rate	rate	NOUN
ejpam-3410	214	93	functions	function	NOUN
ejpam-3410	214	94	plots	plot	NOUN
ejpam-3410	214	95	for	for	ADP
ejpam-3410	214	96	proposed	propose	VERB
ejpam-3410	214	97	ctu	ctu	ADJ
ejpam-3410	214	98	distribution	distribution	NOUN
ejpam-3410	214	99	.	.	PUNCT
ejpam-3410	215	1	figure	figure	NOUN
ejpam-3410	215	2	3	3	NUM
ejpam-3410	215	3	describes	describe	VERB
ejpam-3410	215	4	some	some	DET
ejpam-3410	215	5	possible	possible	ADJ
ejpam-3410	215	6	shapes	shape	NOUN
ejpam-3410	215	7	for	for	ADP
ejpam-3410	215	8	the	the	DET
ejpam-3410	215	9	reliability	reliability	NOUN
ejpam-3410	215	10	and	and	CCONJ
ejpam-3410	215	11	hazard	hazard	NOUN
ejpam-3410	215	12	functions	function	NOUN
ejpam-3410	215	13	of	of	ADP
ejpam-3410	215	14	ctu	ctu	ADJ
ejpam-3410	215	15	distribution	distribution	NOUN
ejpam-3410	215	16	for	for	ADP
ejpam-3410	215	17	different	different	ADJ
ejpam-3410	215	18	values	value	NOUN
ejpam-3410	215	19	of	of	ADP
ejpam-3410	215	20	model	model	NOUN
ejpam-3410	215	21	parameter	parameter	PROPN
ejpam-3410	215	22	λ	λ	PROPN
ejpam-3410	215	23	.	.	PROPN
ejpam-3410	215	24	4.8	4.8	NUM
ejpam-3410	215	25	.	.	PUNCT
ejpam-3410	216	1	shannon	shannon	PROPN
ejpam-3410	216	2	entropy	entropy	VERB
ejpam-3410	216	3	the	the	DET
ejpam-3410	216	4	uncertainty	uncertainty	NOUN
ejpam-3410	216	5	of	of	ADP
ejpam-3410	216	6	a	a	DET
ejpam-3410	216	7	random	random	ADJ
ejpam-3410	216	8	variable	variable	NOUN
ejpam-3410	216	9	x	x	PUNCT
ejpam-3410	216	10	can	can	AUX
ejpam-3410	216	11	be	be	AUX
ejpam-3410	216	12	easily	easily	ADV
ejpam-3410	216	13	measured	measure	VERB
ejpam-3410	216	14	by	by	ADP
ejpam-3410	216	15	using	use	VERB
ejpam-3410	216	16	entropy	entropy	NOUN
ejpam-3410	216	17	.	.	PUNCT
ejpam-3410	217	1	the	the	DET
ejpam-3410	217	2	entropy	entropy	PROPN
ejpam-3410	217	3	h	h	PROPN
ejpam-3410	217	4	of	of	ADP
ejpam-3410	217	5	a	a	DET
ejpam-3410	217	6	random	random	ADJ
ejpam-3410	217	7	variable	variable	NOUN
ejpam-3410	217	8	x	x	PUNCT
ejpam-3410	217	9	is	be	AUX
ejpam-3410	217	10	defined	define	VERB
ejpam-3410	217	11	by	by	ADP
ejpam-3410	217	12	shannon	shannon	PROPN
ejpam-3410	218	1	[	[	X
ejpam-3410	218	2	15	15	NUM
ejpam-3410	218	3	]	]	PUNCT
ejpam-3410	218	4	,	,	PUNCT
ejpam-3410	218	5	and	and	CCONJ
ejpam-3410	218	6	,	,	PUNCT
ejpam-3410	218	7	for	for	ADP
ejpam-3410	218	8	the	the	DET
ejpam-3410	218	9	ctu	ctu	ADJ
ejpam-3410	218	10	distribution	distribution	NOUN
ejpam-3410	218	11	,	,	PUNCT
ejpam-3410	218	12	it	it	PRON
ejpam-3410	218	13	is	be	AUX
ejpam-3410	218	14	obtained	obtain	VERB
ejpam-3410	218	15	as	as	ADP
ejpam-3410	218	16	h	h	NOUN
ejpam-3410	218	17	=	=	SYM
ejpam-3410	218	18	−e[log{f(x	−e[log{f(x	PROPN
ejpam-3410	218	19	)	)	PUNCT
ejpam-3410	218	20	}	}	PUNCT
ejpam-3410	218	21	]	]	PUNCT
ejpam-3410	219	1	=	=	PUNCT
ejpam-3410	219	2	−e	−e	NOUN
ejpam-3410	219	3	[	[	PUNCT
ejpam-3410	219	4	log	log	NOUN
ejpam-3410	219	5	{	{	PUNCT
ejpam-3410	219	6	(	(	PUNCT
ejpam-3410	219	7	1−	1−	NUM
ejpam-3410	219	8	λ	λ	NOUN
ejpam-3410	219	9	)	)	PUNCT
ejpam-3410	219	10	+	+	CCONJ
ejpam-3410	219	11	6λx−	6λx−	NUM
ejpam-3410	219	12	6λx2	6λx2	NUM
ejpam-3410	219	13	}	}	PUNCT
ejpam-3410	219	14	]	]	PUNCT
ejpam-3410	220	1	=	=	PUNCT
ejpam-3410	221	1	−	−	NUM
ejpam-3410	221	2	∫	∫	NOUN
ejpam-3410	221	3	1	1	NUM
ejpam-3410	221	4	0	0	NUM
ejpam-3410	221	5	log	log	NOUN
ejpam-3410	221	6	{	{	PUNCT
ejpam-3410	221	7	(	(	PUNCT
ejpam-3410	221	8	1−	1−	NUM
ejpam-3410	221	9	λ	λ	NOUN
ejpam-3410	221	10	)	)	PUNCT
ejpam-3410	221	11	+	+	CCONJ
ejpam-3410	221	12	6λx−	6λx−	NUM
ejpam-3410	221	13	6λx2	6λx2	NUM
ejpam-3410	221	14	}	}	PUNCT
ejpam-3410	221	15	{	{	PUNCT
ejpam-3410	221	16	(	(	PUNCT
ejpam-3410	221	17	1−	1−	NUM
ejpam-3410	221	18	λ	λ	NOUN
ejpam-3410	221	19	)	)	PUNCT
ejpam-3410	221	20	+	+	CCONJ
ejpam-3410	221	21	6λx−	6λx−	NUM
ejpam-3410	221	22	6λx2	6λx2	NUM
ejpam-3410	221	23	}	}	PUNCT
ejpam-3410	221	24	dx	dx	PROPN
ejpam-3410	221	25	=	=	SYM
ejpam-3410	221	26	−	−	PROPN
ejpam-3410	221	27	3	3	NUM
ejpam-3410	221	28	√	√	PROPN
ejpam-3410	221	29	λ	λ	PROPN
ejpam-3410	221	30	{	{	PUNCT
ejpam-3410	221	31	λ−	λ−	PROPN
ejpam-3410	221	32	3	3	NUM
ejpam-3410	221	33	log(1−	log(1−	PROPN
ejpam-3410	221	34	λ	λ	PROPN
ejpam-3410	221	35	)	)	PUNCT
ejpam-3410	221	36	+	+	CCONJ
ejpam-3410	221	37	4}+	4}+	NUM
ejpam-3410	221	38	2	2	NUM
ejpam-3410	221	39	√	√	NUM
ejpam-3410	221	40	3(−λ−	3(−λ−	NUM
ejpam-3410	221	41	2)3/2	2)3/2	NUM
ejpam-3410	221	42	tan−1	tan−1	PROPN
ejpam-3410	221	43	(	(	PUNCT
ejpam-3410	221	44	√	√	NUM
ejpam-3410	221	45	3	3	NUM
ejpam-3410	221	46	√	√	PROPN
ejpam-3410	221	47	λ√	λ√	ADP
ejpam-3410	221	48	−λ−2	−λ−2	NUM
ejpam-3410	221	49	)	)	PUNCT
ejpam-3410	221	50	9	9	NUM
ejpam-3410	221	51	√	√	NUM
ejpam-3410	221	52	λ	λ	NOUN
ejpam-3410	221	53	and	and	CCONJ
ejpam-3410	221	54	can	can	AUX
ejpam-3410	221	55	be	be	AUX
ejpam-3410	221	56	computed	compute	VERB
ejpam-3410	221	57	numerically	numerically	ADV
ejpam-3410	221	58	.	.	PUNCT
ejpam-3410	222	1	5	5	X
ejpam-3410	222	2	.	.	X
ejpam-3410	222	3	order	order	NOUN
ejpam-3410	222	4	statistics	statistic	VERB
ejpam-3410	222	5	the	the	DET
ejpam-3410	222	6	density	density	NOUN
ejpam-3410	222	7	function	function	NOUN
ejpam-3410	222	8	of	of	ADP
ejpam-3410	222	9	rth	rth	PROPN
ejpam-3410	222	10	order	order	NOUN
ejpam-3410	222	11	statistics	statistic	NOUN
ejpam-3410	222	12	for	for	ADP
ejpam-3410	222	13	ctu	ctu	ADJ
ejpam-3410	222	14	distribution	distribution	NOUN
ejpam-3410	222	15	is	be	AUX
ejpam-3410	222	16	given	give	VERB
ejpam-3410	222	17	as	as	ADP
ejpam-3410	222	18	fx(r	fx(r	NOUN
ejpam-3410	222	19	)	)	PUNCT
ejpam-3410	222	20	(	(	PUNCT
ejpam-3410	222	21	x	x	X
ejpam-3410	222	22	)	)	PUNCT
ejpam-3410	222	23	=	=	SYM
ejpam-3410	222	24	n	n	X
ejpam-3410	222	25	!	!	PUNCT
ejpam-3410	223	1	(	(	PUNCT
ejpam-3410	223	2	r	r	NOUN
ejpam-3410	223	3	−	−	PROPN
ejpam-3410	223	4	1)!(n−	1)!(n−	NUM
ejpam-3410	223	5	r	r	NOUN
ejpam-3410	223	6	)	)	PUNCT
ejpam-3410	223	7	!	!	PUNCT
ejpam-3410	224	1	{	{	PUNCT
ejpam-3410	224	2	(	(	PUNCT
ejpam-3410	224	3	1−	1−	NUM
ejpam-3410	224	4	λ	λ	NOUN
ejpam-3410	224	5	)	)	PUNCT
ejpam-3410	224	6	+	+	CCONJ
ejpam-3410	224	7	6λx−	6λx−	NUM
ejpam-3410	224	8	6λx2	6λx2	NUM
ejpam-3410	224	9	}	}	PUNCT
ejpam-3410	224	10	[	[	PUNCT
ejpam-3410	224	11	(	(	PUNCT
ejpam-3410	224	12	1−	1−	NUM
ejpam-3410	224	13	λ)x+	λ)x+	NOUN
ejpam-3410	224	14	3λx2	3λx2	NUM
ejpam-3410	224	15	−	−	NOUN
ejpam-3410	224	16	2λx3	2λx3	NUM
ejpam-3410	224	17	]	]	PUNCT
ejpam-3410	224	18	r−1	r−1	PROPN
ejpam-3410	224	19	×	×	NOUN
ejpam-3410	224	20	[	[	PUNCT
ejpam-3410	224	21	1−	1−	NUM
ejpam-3410	224	22	(	(	PUNCT
ejpam-3410	224	23	1−	1−	NUM
ejpam-3410	224	24	λ)x−	λ)x−	NOUN
ejpam-3410	224	25	3λx2	3λx2	NUM
ejpam-3410	224	26	+	+	CCONJ
ejpam-3410	224	27	2λx3	2λx3	NUM
ejpam-3410	224	28	]	]	SYM
ejpam-3410	224	29	n−r	n−r	NOUN
ejpam-3410	224	30	,	,	PUNCT
ejpam-3410	224	31	(	(	PUNCT
ejpam-3410	224	32	15	15	NUM
ejpam-3410	224	33	)	)	PUNCT
ejpam-3410	224	34	m.	m.	NOUN
ejpam-3410	224	35	q.	q.	PROPN
ejpam-3410	224	36	shahbaz	shahbaz	PROPN
ejpam-3410	224	37	et	et	PROPN
ejpam-3410	224	38	al	al	PROPN
ejpam-3410	224	39	.	.	PUNCT
ejpam-3410	224	40	/	/	SYM
ejpam-3410	224	41	eur	eur	PROPN
ejpam-3410	224	42	.	.	PUNCT
ejpam-3410	225	1	j.	j.	PROPN
ejpam-3410	225	2	pure	pure	PROPN
ejpam-3410	225	3	appl	appl	PROPN
ejpam-3410	225	4	.	.	PROPN
ejpam-3410	225	5	math	math	PROPN
ejpam-3410	225	6	,	,	PUNCT
ejpam-3410	225	7	12	12	NUM
ejpam-3410	225	8	(	(	PUNCT
ejpam-3410	225	9	3	3	NUM
ejpam-3410	225	10	)	)	PUNCT
ejpam-3410	225	11	(	(	PUNCT
ejpam-3410	225	12	2019	2019	NUM
ejpam-3410	225	13	)	)	PUNCT
ejpam-3410	225	14	,	,	PUNCT
ejpam-3410	225	15	1106	1106	NUM
ejpam-3410	225	16	-	-	SYM
ejpam-3410	225	17	1121	1121	NUM
ejpam-3410	225	18	1116	1116	NUM
ejpam-3410	225	19	where	where	SCONJ
ejpam-3410	225	20	r	r	NOUN
ejpam-3410	225	21	=	=	SYM
ejpam-3410	225	22	1	1	NUM
ejpam-3410	225	23	,	,	PUNCT
ejpam-3410	225	24	2	2	NUM
ejpam-3410	225	25	,	,	PUNCT
ejpam-3410	225	26	·	·	PUNCT
ejpam-3410	225	27	·	·	PUNCT
ejpam-3410	225	28	·	·	PUNCT
ejpam-3410	225	29	,	,	PUNCT
ejpam-3410	225	30	n.	n.	PROPN
ejpam-3410	225	31	therefor	therefor	PROPN
ejpam-3410	225	32	,	,	PUNCT
ejpam-3410	225	33	for	for	ADP
ejpam-3410	225	34	r	r	NOUN
ejpam-3410	225	35	=	=	SYM
ejpam-3410	225	36	1	1	NUM
ejpam-3410	225	37	,	,	PUNCT
ejpam-3410	225	38	we	we	PRON
ejpam-3410	225	39	have	have	VERB
ejpam-3410	225	40	the	the	DET
ejpam-3410	225	41	pdf	pdf	NOUN
ejpam-3410	225	42	of	of	ADP
ejpam-3410	225	43	the	the	DET
ejpam-3410	225	44	smallest	small	ADJ
ejpam-3410	225	45	order	order	NOUN
ejpam-3410	225	46	statistics	statistic	NOUN
ejpam-3410	225	47	x(1	x(1	PROPN
ejpam-3410	225	48	)	)	PUNCT
ejpam-3410	225	49	,	,	PUNCT
ejpam-3410	225	50	and	and	CCONJ
ejpam-3410	225	51	is	be	AUX
ejpam-3410	225	52	given	give	VERB
ejpam-3410	225	53	as	as	ADP
ejpam-3410	225	54	fx(1	fx(1	NOUN
ejpam-3410	225	55	)	)	PUNCT
ejpam-3410	225	56	(	(	PUNCT
ejpam-3410	225	57	x	x	X
ejpam-3410	225	58	)	)	PUNCT
ejpam-3410	225	59	=	=	SYM
ejpam-3410	225	60	n	n	NOUN
ejpam-3410	225	61	{	{	PUNCT
ejpam-3410	225	62	(	(	PUNCT
ejpam-3410	225	63	1−	1−	NUM
ejpam-3410	225	64	λ	λ	NOUN
ejpam-3410	225	65	)	)	PUNCT
ejpam-3410	225	66	+	+	CCONJ
ejpam-3410	225	67	6λx−	6λx−	NUM
ejpam-3410	225	68	6λx2	6λx2	NUM
ejpam-3410	225	69	}	}	PUNCT
ejpam-3410	225	70	[	[	PUNCT
ejpam-3410	225	71	1−	1−	NUM
ejpam-3410	225	72	(	(	PUNCT
ejpam-3410	225	73	1−	1−	NUM
ejpam-3410	225	74	λ)x−	λ)x−	NOUN
ejpam-3410	225	75	3λx2	3λx2	NUM
ejpam-3410	225	76	+	+	CCONJ
ejpam-3410	225	77	2λx3	2λx3	NUM
ejpam-3410	225	78	]	]	X
ejpam-3410	225	79	n−1	n−1	ADJ
ejpam-3410	225	80	,	,	PUNCT
ejpam-3410	225	81	and	and	CCONJ
ejpam-3410	225	82	for	for	ADP
ejpam-3410	225	83	r	r	NOUN
ejpam-3410	225	84	=	=	SYM
ejpam-3410	225	85	n	n	CCONJ
ejpam-3410	225	86	,	,	PUNCT
ejpam-3410	225	87	the	the	DET
ejpam-3410	225	88	pdf	pdf	NOUN
ejpam-3410	225	89	of	of	ADP
ejpam-3410	225	90	the	the	DET
ejpam-3410	225	91	largest	large	ADJ
ejpam-3410	225	92	order	order	NOUN
ejpam-3410	225	93	statistics	statistic	NOUN
ejpam-3410	225	94	x(n	x(n	NOUN
ejpam-3410	225	95	)	)	PUNCT
ejpam-3410	225	96	,	,	PUNCT
ejpam-3410	225	97	is	be	AUX
ejpam-3410	225	98	fx(n	fx(n	NOUN
ejpam-3410	225	99	)	)	PUNCT
ejpam-3410	225	100	(	(	PUNCT
ejpam-3410	225	101	x	x	X
ejpam-3410	225	102	)	)	PUNCT
ejpam-3410	225	103	=	=	SYM
ejpam-3410	225	104	n	n	NOUN
ejpam-3410	225	105	{	{	PUNCT
ejpam-3410	225	106	(	(	PUNCT
ejpam-3410	225	107	1−	1−	NUM
ejpam-3410	225	108	λ	λ	NOUN
ejpam-3410	225	109	)	)	PUNCT
ejpam-3410	225	110	+	+	CCONJ
ejpam-3410	225	111	6λx−	6λx−	NUM
ejpam-3410	225	112	6λx2	6λx2	NUM
ejpam-3410	225	113	}	}	PUNCT
ejpam-3410	225	114	[	[	PUNCT
ejpam-3410	225	115	(	(	PUNCT
ejpam-3410	225	116	1−	1−	NUM
ejpam-3410	225	117	λ)x+	λ)x+	NOUN
ejpam-3410	225	118	3λx2	3λx2	NUM
ejpam-3410	225	119	−	−	NOUN
ejpam-3410	225	120	2λx3	2λx3	NUM
ejpam-3410	225	121	]	]	SYM
ejpam-3410	225	122	n−1	n−1	PROPN
ejpam-3410	225	123	.	.	PUNCT
ejpam-3410	226	1	note	note	VERB
ejpam-3410	226	2	that	that	SCONJ
ejpam-3410	226	3	λ	λ	NOUN
ejpam-3410	226	4	=	=	SYM
ejpam-3410	226	5	0	0	NUM
ejpam-3410	226	6	,	,	PUNCT
ejpam-3410	226	7	we	we	PRON
ejpam-3410	226	8	have	have	VERB
ejpam-3410	226	9	pdf	pdf	NOUN
ejpam-3410	226	10	of	of	ADP
ejpam-3410	226	11	the	the	DET
ejpam-3410	226	12	rth	rth	PROPN
ejpam-3410	226	13	order	order	NOUN
ejpam-3410	226	14	statistics	statistic	NOUN
ejpam-3410	226	15	for	for	ADP
ejpam-3410	226	16	uniform	uniform	ADJ
ejpam-3410	226	17	distribution	distribution	NOUN
ejpam-3410	226	18	the	the	DET
ejpam-3410	226	19	kth	kth	PROPN
ejpam-3410	226	20	moment	moment	NOUN
ejpam-3410	226	21	of	of	ADP
ejpam-3410	226	22	rth	rth	PROPN
ejpam-3410	226	23	order	order	NOUN
ejpam-3410	226	24	statistics	statistic	NOUN
ejpam-3410	226	25	for	for	ADP
ejpam-3410	226	26	ctu	ctu	ADJ
ejpam-3410	226	27	distribution	distribution	NOUN
ejpam-3410	226	28	is	be	AUX
ejpam-3410	226	29	obtained	obtain	VERB
ejpam-3410	226	30	as	as	ADP
ejpam-3410	226	31	e(xk	e(xk	X
ejpam-3410	226	32	(	(	PUNCT
ejpam-3410	226	33	r	r	NOUN
ejpam-3410	226	34	)	)	PUNCT
ejpam-3410	226	35	)	)	PUNCT
ejpam-3410	227	1	=	=	PUNCT
ejpam-3410	227	2	∫	∫	PROPN
ejpam-3410	227	3	1	1	NUM
ejpam-3410	227	4	0	0	NUM
ejpam-3410	227	5	xk(r	xk(r	NUM
ejpam-3410	227	6	)	)	PUNCT
ejpam-3410	227	7	·	·	PUNCT
ejpam-3410	227	8	fx(r	fx(r	X
ejpam-3410	227	9	)	)	PUNCT
ejpam-3410	227	10	(	(	PUNCT
ejpam-3410	227	11	x	x	X
ejpam-3410	227	12	)	)	PUNCT
ejpam-3410	227	13	·	·	PUNCT
ejpam-3410	228	1	dx	dx	PROPN
ejpam-3410	228	2	,	,	PUNCT
ejpam-3410	228	3	where	where	SCONJ
ejpam-3410	228	4	fx(r	fx(r	NOUN
ejpam-3410	228	5	)	)	PUNCT
ejpam-3410	228	6	(	(	PUNCT
ejpam-3410	228	7	x	x	X
ejpam-3410	228	8	)	)	PUNCT
ejpam-3410	228	9	is	be	AUX
ejpam-3410	228	10	given	give	VERB
ejpam-3410	228	11	in	in	ADP
ejpam-3410	228	12	(	(	PUNCT
ejpam-3410	228	13	15	15	NUM
ejpam-3410	228	14	)	)	PUNCT
ejpam-3410	228	15	.	.	PUNCT
ejpam-3410	229	1	setting	set	VERB
ejpam-3410	229	2	r	r	NOUN
ejpam-3410	229	3	=	=	SYM
ejpam-3410	229	4	1	1	NUM
ejpam-3410	229	5	and	and	CCONJ
ejpam-3410	229	6	r	r	NOUN
ejpam-3410	229	7	=	=	SYM
ejpam-3410	229	8	n	n	PRON
ejpam-3410	229	9	one	one	NOUN
ejpam-3410	229	10	can	can	AUX
ejpam-3410	229	11	obtain	obtain	VERB
ejpam-3410	229	12	the	the	DET
ejpam-3410	229	13	kth	kth	PROPN
ejpam-3410	229	14	moment	moment	NOUN
ejpam-3410	229	15	of	of	ADP
ejpam-3410	229	16	smallest	small	ADJ
ejpam-3410	229	17	and	and	CCONJ
ejpam-3410	229	18	largest	large	ADJ
ejpam-3410	229	19	order	order	NOUN
ejpam-3410	229	20	statistics	statistic	NOUN
ejpam-3410	229	21	for	for	ADP
ejpam-3410	229	22	the	the	DET
ejpam-3410	229	23	ctu	ctu	ADJ
ejpam-3410	229	24	distribution	distribution	NOUN
ejpam-3410	229	25	.	.	PUNCT
ejpam-3410	230	1	6	6	X
ejpam-3410	230	2	.	.	X
ejpam-3410	230	3	parameter	parameter	NOUN
ejpam-3410	230	4	estimation	estimation	NOUN
ejpam-3410	230	5	this	this	DET
ejpam-3410	230	6	section	section	NOUN
ejpam-3410	230	7	is	be	AUX
ejpam-3410	230	8	dedicated	dedicate	VERB
ejpam-3410	230	9	to	to	ADP
ejpam-3410	230	10	maximum	maximum	ADJ
ejpam-3410	230	11	likelihood	likelihood	NOUN
ejpam-3410	230	12	estimation	estimation	NOUN
ejpam-3410	230	13	of	of	ADP
ejpam-3410	230	14	the	the	DET
ejpam-3410	230	15	parameter	parameter	NOUN
ejpam-3410	230	16	of	of	ADP
ejpam-3410	230	17	ctu	ctu	ADJ
ejpam-3410	230	18	distribution	distribution	NOUN
ejpam-3410	230	19	.	.	PUNCT
ejpam-3410	231	1	for	for	ADP
ejpam-3410	231	2	this	this	PRON
ejpam-3410	231	3	,	,	PUNCT
ejpam-3410	231	4	suppose	suppose	VERB
ejpam-3410	231	5	a	a	DET
ejpam-3410	231	6	random	random	ADJ
ejpam-3410	231	7	sample	sample	NOUN
ejpam-3410	231	8	of	of	ADP
ejpam-3410	231	9	size	size	NOUN
ejpam-3410	231	10	n	n	PRON
ejpam-3410	231	11	is	be	AUX
ejpam-3410	231	12	available	available	ADJ
ejpam-3410	231	13	from	from	ADP
ejpam-3410	231	14	the	the	DET
ejpam-3410	231	15	ctu	ctu	NOUN
ejpam-3410	231	16	distribution	distribution	NOUN
ejpam-3410	231	17	,	,	PUNCT
ejpam-3410	231	18	then	then	ADV
ejpam-3410	231	19	the	the	DET
ejpam-3410	231	20	likelihood	likelihood	NOUN
ejpam-3410	231	21	function	function	NOUN
ejpam-3410	231	22	is	be	AUX
ejpam-3410	231	23	l	l	NOUN
ejpam-3410	231	24	=	=	PUNCT
ejpam-3410	231	25	n∏	n∏	PROPN
ejpam-3410	231	26	i=1	i=1	X
ejpam-3410	232	1	[	[	PUNCT
ejpam-3410	232	2	(	(	PUNCT
ejpam-3410	232	3	1−	1−	NUM
ejpam-3410	232	4	λ	λ	NOUN
ejpam-3410	232	5	)	)	PUNCT
ejpam-3410	233	1	+	+	CCONJ
ejpam-3410	233	2	6λxi	6λxi	NUM
ejpam-3410	233	3	−	−	PROPN
ejpam-3410	233	4	6λx2i	6λx2i	NUM
ejpam-3410	233	5	]	]	PUNCT
ejpam-3410	233	6	.	.	PUNCT
ejpam-3410	234	1	the	the	DET
ejpam-3410	234	2	log	log	NOUN
ejpam-3410	234	3	-	-	PUNCT
ejpam-3410	234	4	likelihood	likelihood	NOUN
ejpam-3410	234	5	function	function	NOUN
ejpam-3410	234	6	is	be	AUX
ejpam-3410	234	7	l	l	NOUN
ejpam-3410	234	8	=	=	PUNCT
ejpam-3410	234	9	n∑	n∑	PROPN
ejpam-3410	234	10	i=1	i=1	PROPN
ejpam-3410	235	1	ln	ln	X
ejpam-3410	235	2	[	[	PUNCT
ejpam-3410	235	3	(	(	PUNCT
ejpam-3410	235	4	1−	1−	NUM
ejpam-3410	235	5	λ	λ	NOUN
ejpam-3410	235	6	)	)	PUNCT
ejpam-3410	235	7	+	+	CCONJ
ejpam-3410	235	8	6λxi	6λxi	NUM
ejpam-3410	235	9	−	−	PROPN
ejpam-3410	235	10	6λx2i	6λx2i	NUM
ejpam-3410	235	11	]	]	PUNCT
ejpam-3410	235	12	.	.	PUNCT
ejpam-3410	236	1	(	(	PUNCT
ejpam-3410	236	2	16	16	NUM
ejpam-3410	236	3	)	)	PUNCT
ejpam-3410	236	4	the	the	DET
ejpam-3410	236	5	derivatives	derivative	NOUN
ejpam-3410	236	6	of	of	ADP
ejpam-3410	236	7	(	(	PUNCT
ejpam-3410	236	8	16	16	NUM
ejpam-3410	236	9	)	)	PUNCT
ejpam-3410	236	10	with	with	ADP
ejpam-3410	236	11	respect	respect	NOUN
ejpam-3410	236	12	to	to	ADP
ejpam-3410	236	13	λ	λ	PROPN
ejpam-3410	236	14	is	be	AUX
ejpam-3410	236	15	δl	δl	INTJ
ejpam-3410	236	16	δλ	δλ	PROPN
ejpam-3410	236	17	=	=	PUNCT
ejpam-3410	236	18	n∑	n∑	PROPN
ejpam-3410	236	19	i=1	i=1	PROPN
ejpam-3410	237	1	6xi	6xi	ADJ
ejpam-3410	237	2	−	−	PROPN
ejpam-3410	237	3	6x2i	6x2i	NOUN
ejpam-3410	237	4	−	−	PROPN
ejpam-3410	237	5	1	1	NUM
ejpam-3410	237	6	(	(	PUNCT
ejpam-3410	237	7	1−	1−	NUM
ejpam-3410	237	8	λ	λ	NOUN
ejpam-3410	237	9	)	)	PUNCT
ejpam-3410	238	1	+	+	CCONJ
ejpam-3410	238	2	6λxi	6λxi	NUM
ejpam-3410	238	3	−	−	PROPN
ejpam-3410	238	4	6λx2i	6λx2i	NUM
ejpam-3410	238	5	,	,	PUNCT
ejpam-3410	238	6	now	now	ADV
ejpam-3410	238	7	setting	set	VERB
ejpam-3410	238	8	δl	δl	X
ejpam-3410	238	9	δλ	δλ	NOUN
ejpam-3410	238	10	=	=	SYM
ejpam-3410	238	11	0	0	NUM
ejpam-3410	238	12	one	one	NOUN
ejpam-3410	238	13	can	can	AUX
ejpam-3410	238	14	get	get	VERB
ejpam-3410	238	15	numerical	numerical	ADJ
ejpam-3410	238	16	estimate	estimate	NOUN
ejpam-3410	238	17	of	of	ADP
ejpam-3410	238	18	λ	λ	PROPN
ejpam-3410	238	19	.	.	PROPN
ejpam-3410	239	1	for	for	ADP
ejpam-3410	239	2	the	the	DET
ejpam-3410	239	3	numerical	numerical	ADJ
ejpam-3410	239	4	estimate	estimate	NOUN
ejpam-3410	239	5	of	of	ADP
ejpam-3410	239	6	λ	λ	X
ejpam-3410	239	7	we	we	PRON
ejpam-3410	239	8	apply	apply	VERB
ejpam-3410	239	9	r	r	NOUN
ejpam-3410	239	10	-	-	PUNCT
ejpam-3410	239	11	package	package	NOUN
ejpam-3410	239	12	”	"	PUNCT
ejpam-3410	239	13	bbmle	bbmle	NOUN
ejpam-3410	239	14	”	"	PUNCT
ejpam-3410	239	15	,	,	PUNCT
ejpam-3410	239	16	for	for	SCONJ
ejpam-3410	239	17	details	detail	NOUN
ejpam-3410	239	18	see	see	VERB
ejpam-3410	239	19	[	[	X
ejpam-3410	239	20	6	6	NUM
ejpam-3410	239	21	]	]	PUNCT
ejpam-3410	239	22	.	.	PUNCT
ejpam-3410	240	1	7	7	X
ejpam-3410	240	2	.	.	X
ejpam-3410	240	3	numerical	numerical	ADJ
ejpam-3410	240	4	studies	study	NOUN
ejpam-3410	240	5	in	in	ADP
ejpam-3410	240	6	this	this	DET
ejpam-3410	240	7	section	section	NOUN
ejpam-3410	240	8	,	,	PUNCT
ejpam-3410	240	9	simulation	simulation	NOUN
ejpam-3410	240	10	study	study	NOUN
ejpam-3410	240	11	has	have	AUX
ejpam-3410	240	12	been	be	AUX
ejpam-3410	240	13	conducted	conduct	VERB
ejpam-3410	240	14	to	to	PART
ejpam-3410	240	15	assess	assess	VERB
ejpam-3410	240	16	the	the	DET
ejpam-3410	240	17	performance	performance	NOUN
ejpam-3410	240	18	of	of	ADP
ejpam-3410	240	19	estimation	estimation	NOUN
ejpam-3410	240	20	method	method	NOUN
ejpam-3410	240	21	.	.	PUNCT
ejpam-3410	241	1	also	also	ADV
ejpam-3410	241	2	,	,	PUNCT
ejpam-3410	241	3	the	the	DET
ejpam-3410	241	4	ctu	ctu	NOUN
ejpam-3410	241	5	distribution	distribution	NOUN
ejpam-3410	241	6	has	have	AUX
ejpam-3410	241	7	been	be	AUX
ejpam-3410	241	8	applied	apply	VERB
ejpam-3410	241	9	on	on	ADP
ejpam-3410	241	10	real	real	ADJ
ejpam-3410	241	11	-	-	PUNCT
ejpam-3410	241	12	life	life	NOUN
ejpam-3410	241	13	data	datum	NOUN
ejpam-3410	241	14	set	set	VERB
ejpam-3410	241	15	to	to	PART
ejpam-3410	241	16	observed	observed	VERB
ejpam-3410	241	17	the	the	DET
ejpam-3410	241	18	practicality	practicality	NOUN
ejpam-3410	241	19	.	.	PUNCT
ejpam-3410	242	1	these	these	PRON
ejpam-3410	242	2	are	be	AUX
ejpam-3410	242	3	given	give	VERB
ejpam-3410	242	4	by	by	ADP
ejpam-3410	242	5	the	the	DET
ejpam-3410	242	6	following	follow	VERB
ejpam-3410	242	7	two	two	NUM
ejpam-3410	242	8	subsection	subsection	NOUN
ejpam-3410	242	9	.	.	PUNCT
ejpam-3410	243	1	m.	m.	PROPN
ejpam-3410	243	2	q.	q.	PROPN
ejpam-3410	243	3	shahbaz	shahbaz	PROPN
ejpam-3410	243	4	et	et	PROPN
ejpam-3410	243	5	al	al	PROPN
ejpam-3410	243	6	.	.	PUNCT
ejpam-3410	243	7	/	/	SYM
ejpam-3410	243	8	eur	eur	PROPN
ejpam-3410	243	9	.	.	PUNCT
ejpam-3410	244	1	j.	j.	PROPN
ejpam-3410	244	2	pure	pure	PROPN
ejpam-3410	244	3	appl	appl	PROPN
ejpam-3410	244	4	.	.	PROPN
ejpam-3410	244	5	math	math	PROPN
ejpam-3410	244	6	,	,	PUNCT
ejpam-3410	244	7	12	12	NUM
ejpam-3410	244	8	(	(	PUNCT
ejpam-3410	244	9	3	3	NUM
ejpam-3410	244	10	)	)	PUNCT
ejpam-3410	244	11	(	(	PUNCT
ejpam-3410	244	12	2019	2019	NUM
ejpam-3410	244	13	)	)	PUNCT
ejpam-3410	244	14	,	,	PUNCT
ejpam-3410	244	15	1106	1106	NUM
ejpam-3410	244	16	-	-	SYM
ejpam-3410	244	17	1121	1121	NUM
ejpam-3410	244	18	1117	1117	NUM
ejpam-3410	244	19	table	table	NOUN
ejpam-3410	244	20	2	2	NUM
ejpam-3410	244	21	:	:	PUNCT
ejpam-3410	244	22	average	average	ADJ
ejpam-3410	244	23	estimate	estimate	NOUN
ejpam-3410	244	24	of	of	ADP
ejpam-3410	244	25	parameter	parameter	NOUN
ejpam-3410	244	26	and	and	CCONJ
ejpam-3410	244	27	mse	mse	NOUN
ejpam-3410	244	28	for	for	ADP
ejpam-3410	244	29	ctu	ctu	ADJ
ejpam-3410	244	30	distribution	distribution	NOUN
ejpam-3410	244	31	.	.	PUNCT
ejpam-3410	245	1	sample	sample	NOUN
ejpam-3410	245	2	size	size	NOUN
ejpam-3410	245	3	estimate	estimate	NOUN
ejpam-3410	245	4	of	of	ADP
ejpam-3410	245	5	λ	λ	PROPN
ejpam-3410	245	6	mse	mse	NOUN
ejpam-3410	245	7	of	of	ADP
ejpam-3410	245	8	λ	λ	PROPN
ejpam-3410	245	9	50	50	NUM
ejpam-3410	245	10	-0.526	-0.526	NOUN
ejpam-3410	245	11	0.106	0.106	NUM
ejpam-3410	245	12	100	100	NUM
ejpam-3410	245	13	-0.546	-0.546	PUNCT
ejpam-3410	245	14	0.053	0.053	NUM
ejpam-3410	245	15	200	200	NUM
ejpam-3410	245	16	-0.540	-0.540	NUM
ejpam-3410	245	17	0.026	0.026	NUM
ejpam-3410	245	18	500	500	NUM
ejpam-3410	245	19	-0.550	-0.550	NUM
ejpam-3410	245	20	0.011	0.011	NUM
ejpam-3410	245	21	1000	1000	NUM
ejpam-3410	245	22	-0.550	-0.550	NOUN
ejpam-3410	245	23	0.005	0.005	NUM
ejpam-3410	245	24	7.1	7.1	NUM
ejpam-3410	245	25	.	.	PUNCT
ejpam-3410	246	1	simulation	simulation	NOUN
ejpam-3410	246	2	study	study	NOUN
ejpam-3410	246	3	in	in	ADP
ejpam-3410	246	4	order	order	NOUN
ejpam-3410	246	5	to	to	PART
ejpam-3410	246	6	conduct	conduct	VERB
ejpam-3410	246	7	this	this	DET
ejpam-3410	246	8	simulation	simulation	NOUN
ejpam-3410	246	9	study	study	NOUN
ejpam-3410	246	10	,	,	PUNCT
ejpam-3410	246	11	we	we	PRON
ejpam-3410	246	12	have	have	AUX
ejpam-3410	246	13	drawn	draw	VERB
ejpam-3410	246	14	random	random	ADJ
ejpam-3410	246	15	samples	sample	NOUN
ejpam-3410	246	16	of	of	ADP
ejpam-3410	246	17	sizes	size	NOUN
ejpam-3410	246	18	50	50	NUM
ejpam-3410	246	19	,	,	PUNCT
ejpam-3410	246	20	100	100	NUM
ejpam-3410	246	21	,	,	PUNCT
ejpam-3410	246	22	200	200	NUM
ejpam-3410	246	23	,	,	PUNCT
ejpam-3410	246	24	500	500	NUM
ejpam-3410	246	25	and	and	CCONJ
ejpam-3410	246	26	1000	1000	NUM
ejpam-3410	246	27	from	from	ADP
ejpam-3410	246	28	ctu	ctu	ADJ
ejpam-3410	246	29	distribution	distribution	NOUN
ejpam-3410	246	30	by	by	ADP
ejpam-3410	246	31	setting	set	VERB
ejpam-3410	246	32	λ	λ	X
ejpam-3410	246	33	=	=	SYM
ejpam-3410	247	1	−0.55	−0.55	NOUN
ejpam-3410	247	2	.	.	PUNCT
ejpam-3410	247	3	maximum	maximum	ADJ
ejpam-3410	247	4	likelihood	likelihood	NOUN
ejpam-3410	247	5	estimate	estimate	NOUN
ejpam-3410	247	6	of	of	ADP
ejpam-3410	247	7	λ	λ	PROPN
ejpam-3410	247	8	is	be	AUX
ejpam-3410	247	9	obtained	obtain	VERB
ejpam-3410	247	10	by	by	ADP
ejpam-3410	247	11	using	use	VERB
ejpam-3410	247	12	each	each	DET
ejpam-3410	247	13	sample	sample	NOUN
ejpam-3410	247	14	.	.	PUNCT
ejpam-3410	248	1	the	the	DET
ejpam-3410	248	2	procedure	procedure	NOUN
ejpam-3410	248	3	is	be	AUX
ejpam-3410	248	4	repeated	repeat	VERB
ejpam-3410	248	5	10000	10000	NUM
ejpam-3410	248	6	times	time	NOUN
ejpam-3410	248	7	and	and	CCONJ
ejpam-3410	248	8	we	we	PRON
ejpam-3410	248	9	have	have	AUX
ejpam-3410	248	10	then	then	ADV
ejpam-3410	248	11	taken	take	VERB
ejpam-3410	248	12	the	the	DET
ejpam-3410	248	13	average	average	ADJ
ejpam-3410	248	14	value	value	NOUN
ejpam-3410	248	15	of	of	ADP
ejpam-3410	248	16	the	the	DET
ejpam-3410	248	17	estimate	estimate	NOUN
ejpam-3410	248	18	alongside	alongside	ADP
ejpam-3410	248	19	the	the	DET
ejpam-3410	248	20	mean	mean	ADJ
ejpam-3410	248	21	square	square	NOUN
ejpam-3410	248	22	error	error	NOUN
ejpam-3410	248	23	.	.	PUNCT
ejpam-3410	249	1	the	the	DET
ejpam-3410	249	2	results	result	NOUN
ejpam-3410	249	3	are	be	AUX
ejpam-3410	249	4	described	describe	VERB
ejpam-3410	249	5	in	in	ADP
ejpam-3410	249	6	table	table	NOUN
ejpam-3410	249	7	2	2	NUM
ejpam-3410	249	8	which	which	PRON
ejpam-3410	249	9	shows	show	VERB
ejpam-3410	249	10	that	that	SCONJ
ejpam-3410	249	11	the	the	DET
ejpam-3410	249	12	estimated	estimate	VERB
ejpam-3410	249	13	value	value	NOUN
ejpam-3410	249	14	is	be	AUX
ejpam-3410	249	15	very	very	ADV
ejpam-3410	249	16	close	close	ADJ
ejpam-3410	249	17	to	to	ADP
ejpam-3410	249	18	the	the	DET
ejpam-3410	249	19	pre	pre	ADJ
ejpam-3410	249	20	-	-	ADJ
ejpam-3410	249	21	selected	select	VERB
ejpam-3410	249	22	value	value	NOUN
ejpam-3410	249	23	of	of	ADP
ejpam-3410	249	24	λ	λ	PROPN
ejpam-3410	249	25	.	.	PUNCT
ejpam-3410	250	1	we	we	PRON
ejpam-3410	250	2	can	can	AUX
ejpam-3410	250	3	also	also	ADV
ejpam-3410	250	4	see	see	VERB
ejpam-3410	250	5	that	that	SCONJ
ejpam-3410	250	6	the	the	DET
ejpam-3410	250	7	mean	mean	ADJ
ejpam-3410	250	8	square	square	ADJ
ejpam-3410	250	9	error	error	NOUN
ejpam-3410	250	10	reduces	reduce	VERB
ejpam-3410	250	11	with	with	ADP
ejpam-3410	250	12	increase	increase	NOUN
ejpam-3410	250	13	in	in	ADP
ejpam-3410	250	14	the	the	DET
ejpam-3410	250	15	sample	sample	NOUN
ejpam-3410	250	16	size	size	NOUN
ejpam-3410	250	17	.	.	PUNCT
ejpam-3410	251	1	this	this	PRON
ejpam-3410	251	2	shows	show	VERB
ejpam-3410	251	3	the	the	DET
ejpam-3410	251	4	adequacy	adequacy	NOUN
ejpam-3410	251	5	of	of	ADP
ejpam-3410	251	6	the	the	DET
ejpam-3410	251	7	estimation	estimation	NOUN
ejpam-3410	251	8	method	method	NOUN
ejpam-3410	251	9	.	.	PUNCT
ejpam-3410	252	1	7.2	7.2	NUM
ejpam-3410	252	2	.	.	PUNCT
ejpam-3410	252	3	application	application	NOUN
ejpam-3410	252	4	in	in	ADP
ejpam-3410	252	5	this	this	DET
ejpam-3410	252	6	section	section	NOUN
ejpam-3410	252	7	we	we	PRON
ejpam-3410	252	8	have	have	AUX
ejpam-3410	252	9	given	give	VERB
ejpam-3410	252	10	application	application	NOUN
ejpam-3410	252	11	of	of	ADP
ejpam-3410	252	12	the	the	DET
ejpam-3410	252	13	proposed	propose	VERB
ejpam-3410	252	14	ctu	ctu	NOUN
ejpam-3410	252	15	distribution	distribution	NOUN
ejpam-3410	252	16	by	by	ADP
ejpam-3410	252	17	using	use	VERB
ejpam-3410	252	18	a	a	DET
ejpam-3410	252	19	real	real	ADJ
ejpam-3410	252	20	data	datum	NOUN
ejpam-3410	252	21	set	set	VERB
ejpam-3410	252	22	.	.	PUNCT
ejpam-3410	253	1	the	the	DET
ejpam-3410	253	2	data	datum	NOUN
ejpam-3410	253	3	set	set	VERB
ejpam-3410	253	4	is	be	AUX
ejpam-3410	253	5	about	about	ADP
ejpam-3410	253	6	lifetimes	lifetime	NOUN
ejpam-3410	253	7	(	(	PUNCT
ejpam-3410	253	8	in	in	ADP
ejpam-3410	253	9	days	day	NOUN
ejpam-3410	253	10	)	)	PUNCT
ejpam-3410	253	11	of	of	ADP
ejpam-3410	253	12	30	30	NUM
ejpam-3410	253	13	electronic	electronic	ADJ
ejpam-3410	253	14	devices	device	NOUN
ejpam-3410	253	15	and	and	CCONJ
ejpam-3410	253	16	is	be	AUX
ejpam-3410	253	17	given	give	VERB
ejpam-3410	253	18	in	in	ADP
ejpam-3410	253	19	table	table	NOUN
ejpam-3410	253	20	3	3	NUM
ejpam-3410	253	21	.	.	PUNCT
ejpam-3410	253	22	table	table	NOUN
ejpam-3410	253	23	3	3	NUM
ejpam-3410	253	24	:	:	PUNCT
ejpam-3410	253	25	lifetimes	lifetime	NOUN
ejpam-3410	253	26	of	of	ADP
ejpam-3410	253	27	30	30	NUM
ejpam-3410	253	28	electronic	electronic	ADJ
ejpam-3410	253	29	devices	device	NOUN
ejpam-3410	253	30	.	.	PUNCT
ejpam-3410	254	1	0.020	0.020	NUM
ejpam-3410	254	2	,	,	PUNCT
ejpam-3410	254	3	0.029	0.029	NUM
ejpam-3410	254	4	,	,	PUNCT
ejpam-3410	254	5	0.034	0.034	NUM
ejpam-3410	254	6	,	,	PUNCT
ejpam-3410	254	7	0.044	0.044	NUM
ejpam-3410	254	8	,	,	PUNCT
ejpam-3410	254	9	0.057	0.057	NUM
ejpam-3410	254	10	,	,	PUNCT
ejpam-3410	254	11	0.096	0.096	NUM
ejpam-3410	254	12	,	,	PUNCT
ejpam-3410	254	13	0.106	0.106	NUM
ejpam-3410	254	14	,	,	PUNCT
ejpam-3410	254	15	0.139	0.139	NUM
ejpam-3410	254	16	,	,	PUNCT
ejpam-3410	254	17	0.156	0.156	NUM
ejpam-3410	254	18	,	,	PUNCT
ejpam-3410	254	19	0.164	0.164	NUM
ejpam-3410	254	20	,	,	PUNCT
ejpam-3410	254	21	0.167	0.167	NUM
ejpam-3410	254	22	,	,	PUNCT
ejpam-3410	254	23	0.177	0.177	NUM
ejpam-3410	254	24	,	,	PUNCT
ejpam-3410	254	25	0.250	0.250	NUM
ejpam-3410	254	26	,	,	PUNCT
ejpam-3410	254	27	0.326	0.326	NUM
ejpam-3410	254	28	,	,	PUNCT
ejpam-3410	254	29	0.406	0.406	NUM
ejpam-3410	254	30	,	,	PUNCT
ejpam-3410	254	31	0.607	0.607	NUM
ejpam-3410	254	32	,	,	PUNCT
ejpam-3410	254	33	0.650	0.650	NUM
ejpam-3410	254	34	,	,	PUNCT
ejpam-3410	254	35	0.672	0.672	NUM
ejpam-3410	254	36	,	,	PUNCT
ejpam-3410	254	37	0.676	0.676	NUM
ejpam-3410	254	38	,	,	PUNCT
ejpam-3410	254	39	0.736	0.736	NUM
ejpam-3410	254	40	,	,	PUNCT
ejpam-3410	254	41	0.817	0.817	NUM
ejpam-3410	254	42	,	,	PUNCT
ejpam-3410	254	43	0.838	0.838	NUM
ejpam-3410	254	44	,	,	PUNCT
ejpam-3410	254	45	0.910	0.910	NUM
ejpam-3410	254	46	,	,	PUNCT
ejpam-3410	254	47	0.931	0.931	NUM
ejpam-3410	254	48	,	,	PUNCT
ejpam-3410	254	49	0.946	0.946	NUM
ejpam-3410	254	50	,	,	PUNCT
ejpam-3410	254	51	0.953	0.953	NUM
ejpam-3410	254	52	,	,	PUNCT
ejpam-3410	254	53	0.961	0.961	NUM
ejpam-3410	254	54	,	,	PUNCT
ejpam-3410	254	55	0.981	0.981	NUM
ejpam-3410	254	56	,	,	PUNCT
ejpam-3410	254	57	0.982	0.982	NUM
ejpam-3410	254	58	and	and	CCONJ
ejpam-3410	254	59	0.990	0.990	NUM
ejpam-3410	254	60	.	.	PUNCT
ejpam-3410	254	61	table	table	NOUN
ejpam-3410	254	62	4	4	NUM
ejpam-3410	254	63	:	:	PUNCT
ejpam-3410	254	64	summary	summary	NOUN
ejpam-3410	254	65	statistics	statistic	NOUN
ejpam-3410	254	66	for	for	ADP
ejpam-3410	254	67	lifetimes	lifetime	NOUN
ejpam-3410	254	68	of	of	ADP
ejpam-3410	254	69	30	30	NUM
ejpam-3410	254	70	electronic	electronic	ADJ
ejpam-3410	254	71	devices	device	NOUN
ejpam-3410	254	72	.	.	PUNCT
ejpam-3410	255	1	data	datum	NOUN
ejpam-3410	255	2	set	set	PROPN
ejpam-3410	255	3	min	min	PROPN
ejpam-3410	255	4	.	.	PROPN
ejpam-3410	255	5	q1	q1	PROPN
ejpam-3410	255	6	median	median	PROPN
ejpam-3410	255	7	mean	mean	PROPN
ejpam-3410	255	8	q3	q3	PROPN
ejpam-3410	255	9	max	max	PROPN
ejpam-3410	255	10	.	.	PUNCT
ejpam-3410	255	11	skew	skew	NOUN
ejpam-3410	255	12	.	.	PUNCT
ejpam-3410	256	1	lifetimes	lifetime	NOUN
ejpam-3410	256	2	0.020	0.020	NUM
ejpam-3410	256	3	0.143	0.143	NUM
ejpam-3410	256	4	0.506	0.506	NUM
ejpam-3410	256	5	0.494	0.494	NUM
ejpam-3410	256	6	0.892	0.892	NUM
ejpam-3410	256	7	0.990	0.990	NUM
ejpam-3410	256	8	0.062	0.062	NUM
ejpam-3410	256	9	the	the	DET
ejpam-3410	256	10	summary	summary	NOUN
ejpam-3410	256	11	statistics	statistic	NOUN
ejpam-3410	256	12	for	for	ADP
ejpam-3410	256	13	the	the	DET
ejpam-3410	256	14	data	datum	NOUN
ejpam-3410	256	15	is	be	AUX
ejpam-3410	256	16	given	give	VERB
ejpam-3410	256	17	in	in	ADP
ejpam-3410	256	18	table	table	NOUN
ejpam-3410	256	19	4	4	NUM
ejpam-3410	256	20	.	.	PUNCT
ejpam-3410	257	1	it	it	PRON
ejpam-3410	257	2	has	have	AUX
ejpam-3410	257	3	been	be	AUX
ejpam-3410	257	4	observed	observe	VERB
ejpam-3410	257	5	from	from	ADP
ejpam-3410	257	6	table	table	NOUN
ejpam-3410	257	7	4	4	NUM
ejpam-3410	257	8	that	that	SCONJ
ejpam-3410	257	9	data	datum	NOUN
ejpam-3410	257	10	follows	follow	VERB
ejpam-3410	257	11	slightly	slightly	ADV
ejpam-3410	257	12	positively	positively	ADV
ejpam-3410	257	13	skewed	skewed	ADJ
ejpam-3410	257	14	distribution	distribution	NOUN
ejpam-3410	257	15	.	.	PUNCT
ejpam-3410	258	1	the	the	DET
ejpam-3410	258	2	probability	probability	NOUN
ejpam-3410	258	3	-	-	PUNCT
ejpam-3410	258	4	probability	probability	NOUN
ejpam-3410	258	5	(	(	PUNCT
ejpam-3410	258	6	for	for	ADP
ejpam-3410	258	7	short	short	ADJ
ejpam-3410	258	8	,	,	PUNCT
ejpam-3410	258	9	p	p	X
ejpam-3410	258	10	−p	−p	NOUN
ejpam-3410	258	11	)	)	PUNCT
ejpam-3410	258	12	and	and	CCONJ
ejpam-3410	258	13	quantile	quantile	NOUN
ejpam-3410	258	14	-	-	PUNCT
ejpam-3410	258	15	quantile	quantile	NOUN
ejpam-3410	258	16	(	(	PUNCT
ejpam-3410	258	17	for	for	ADP
ejpam-3410	258	18	short	short	ADJ
ejpam-3410	258	19	,	,	PUNCT
ejpam-3410	258	20	q−q	q−q	PROPN
ejpam-3410	258	21	)	)	PUNCT
ejpam-3410	258	22	plots	plot	NOUN
ejpam-3410	258	23	are	be	AUX
ejpam-3410	258	24	presented	present	VERB
ejpam-3410	258	25	in	in	ADP
ejpam-3410	258	26	figure	figure	NOUN
ejpam-3410	258	27	4	4	NUM
ejpam-3410	258	28	.	.	PUNCT
ejpam-3410	259	1	we	we	PRON
ejpam-3410	259	2	can	can	AUX
ejpam-3410	259	3	see	see	VERB
ejpam-3410	259	4	,	,	PUNCT
ejpam-3410	259	5	from	from	ADP
ejpam-3410	259	6	the	the	DET
ejpam-3410	259	7	figure	figure	NOUN
ejpam-3410	259	8	4	4	NUM
ejpam-3410	259	9	,	,	PUNCT
ejpam-3410	259	10	that	that	SCONJ
ejpam-3410	259	11	ctu	ctu	ADJ
ejpam-3410	259	12	distribution	distribution	NOUN
ejpam-3410	259	13	closely	closely	ADV
ejpam-3410	259	14	agree	agree	VERB
ejpam-3410	259	15	with	with	ADP
ejpam-3410	259	16	the	the	DET
ejpam-3410	259	17	actual	actual	ADJ
ejpam-3410	259	18	data	datum	NOUN
ejpam-3410	259	19	.	.	PUNCT
ejpam-3410	260	1	we	we	PRON
ejpam-3410	260	2	have	have	AUX
ejpam-3410	260	3	fitted	fit	VERB
ejpam-3410	260	4	various	various	ADJ
ejpam-3410	260	5	distributions	distribution	NOUN
ejpam-3410	260	6	;	;	PUNCT
ejpam-3410	260	7	namely	namely	ADV
ejpam-3410	260	8	skew	skew	ADJ
ejpam-3410	260	9	uniform	uniform	NOUN
ejpam-3410	260	10	,	,	PUNCT
ejpam-3410	260	11	beta	beta	ADJ
ejpam-3410	260	12	and	and	CCONJ
ejpam-3410	260	13	kumaraswamy	kumaraswamy	ADJ
ejpam-3410	260	14	distribution	distribution	NOUN
ejpam-3410	260	15	;	;	PUNCT
ejpam-3410	260	16	alongside	alongside	ADP
ejpam-3410	260	17	the	the	DET
ejpam-3410	260	18	ctu	ctu	ADJ
ejpam-3410	260	19	distribution	distribution	NOUN
ejpam-3410	260	20	on	on	ADP
ejpam-3410	260	21	this	this	DET
ejpam-3410	260	22	data	datum	NOUN
ejpam-3410	260	23	.	.	PUNCT
ejpam-3410	261	1	the	the	DET
ejpam-3410	261	2	estimates	estimate	NOUN
ejpam-3410	261	3	of	of	ADP
ejpam-3410	261	4	the	the	DET
ejpam-3410	261	5	model	model	NOUN
ejpam-3410	261	6	parameters	parameter	NOUN
ejpam-3410	261	7	along	along	ADP
ejpam-3410	261	8	with	with	ADP
ejpam-3410	261	9	standard	standard	ADJ
ejpam-3410	261	10	errors	error	NOUN
ejpam-3410	261	11	are	be	AUX
ejpam-3410	261	12	obtained	obtain	VERB
ejpam-3410	261	13	and	and	CCONJ
ejpam-3410	261	14	presented	present	VERB
ejpam-3410	261	15	in	in	ADP
ejpam-3410	261	16	table	table	NOUN
ejpam-3410	261	17	5	5	NUM
ejpam-3410	261	18	.	.	PUNCT
ejpam-3410	262	1	m.	m.	PROPN
ejpam-3410	262	2	q.	q.	PROPN
ejpam-3410	262	3	shahbaz	shahbaz	PROPN
ejpam-3410	262	4	et	et	PROPN
ejpam-3410	262	5	al	al	PROPN
ejpam-3410	262	6	.	.	PUNCT
ejpam-3410	262	7	/	/	SYM
ejpam-3410	262	8	eur	eur	PROPN
ejpam-3410	262	9	.	.	PUNCT
ejpam-3410	263	1	j.	j.	PROPN
ejpam-3410	263	2	pure	pure	PROPN
ejpam-3410	263	3	appl	appl	PROPN
ejpam-3410	263	4	.	.	PROPN
ejpam-3410	263	5	math	math	PROPN
ejpam-3410	263	6	,	,	PUNCT
ejpam-3410	263	7	12	12	NUM
ejpam-3410	263	8	(	(	PUNCT
ejpam-3410	263	9	3	3	NUM
ejpam-3410	263	10	)	)	PUNCT
ejpam-3410	263	11	(	(	PUNCT
ejpam-3410	263	12	2019	2019	NUM
ejpam-3410	263	13	)	)	PUNCT
ejpam-3410	263	14	,	,	PUNCT
ejpam-3410	263	15	1106	1106	NUM
ejpam-3410	263	16	-	-	SYM
ejpam-3410	263	17	1121	1121	NUM
ejpam-3410	263	18	1118	1118	NUM
ejpam-3410	263	19	0.00	0.00	NUM
ejpam-3410	263	20	0.25	0.25	NUM
ejpam-3410	263	21	0.50	0.50	NUM
ejpam-3410	263	22	0.75	0.75	NUM
ejpam-3410	263	23	1.00	1.00	NUM
ejpam-3410	263	24	0.00	0.00	NUM
ejpam-3410	263	25	0.25	0.25	NUM
ejpam-3410	263	26	0.50	0.50	NUM
ejpam-3410	263	27	0.75	0.75	NUM
ejpam-3410	263	28	1.00	1.00	NUM
ejpam-3410	263	29	empirical	empirical	ADJ
ejpam-3410	263	30	cdf	cdf	PROPN
ejpam-3410	263	31	t	t	NOUN
ejpam-3410	263	32	he	he	PRON
ejpam-3410	263	33	or	or	CCONJ
ejpam-3410	263	34	et	et	PRON
ejpam-3410	263	35	ic	ic	PROPN
ejpam-3410	264	1	al	al	PROPN
ejpam-3410	264	2	c	c	PROPN
ejpam-3410	265	1	d	d	NOUN
ejpam-3410	265	2	f	f	PROPN
ejpam-3410	265	3	0.00	0.00	NUM
ejpam-3410	265	4	0.25	0.25	NUM
ejpam-3410	265	5	0.50	0.50	NUM
ejpam-3410	265	6	0.75	0.75	NUM
ejpam-3410	265	7	1.00	1.00	NUM
ejpam-3410	265	8	0.00	0.00	NUM
ejpam-3410	265	9	0.25	0.25	NUM
ejpam-3410	265	10	0.50	0.50	NUM
ejpam-3410	265	11	0.75	0.75	NUM
ejpam-3410	265	12	1.00	1.00	NUM
ejpam-3410	265	13	data	datum	NOUN
ejpam-3410	265	14	quantiles	quantile	NOUN
ejpam-3410	265	15	t	t	PROPN
ejpam-3410	266	1	he	he	PRON
ejpam-3410	266	2	or	or	CCONJ
ejpam-3410	266	3	et	et	PRON
ejpam-3410	266	4	ic	ic	PROPN
ejpam-3410	266	5	al	al	PROPN
ejpam-3410	266	6	q	q	PROPN
ejpam-3410	266	7	ua	ua	PROPN
ejpam-3410	266	8	nt	not	PART
ejpam-3410	266	9	ile	ile	PROPN
ejpam-3410	266	10	s	s	PART
ejpam-3410	266	11	figure	figure	NOUN
ejpam-3410	266	12	4	4	NUM
ejpam-3410	266	13	:	:	PUNCT
ejpam-3410	266	14	p	p	NOUN
ejpam-3410	266	15	−	−	PROPN
ejpam-3410	266	16	p	p	PROPN
ejpam-3410	266	17	and	and	CCONJ
ejpam-3410	266	18	q−q	q−q	PROPN
ejpam-3410	266	19	plots	plot	NOUN
ejpam-3410	266	20	of	of	ADP
ejpam-3410	266	21	ctu	ctu	ADJ
ejpam-3410	266	22	distribution	distribution	NOUN
ejpam-3410	266	23	for	for	ADP
ejpam-3410	266	24	lifetimes	lifetime	NOUN
ejpam-3410	266	25	of	of	ADP
ejpam-3410	266	26	30	30	NUM
ejpam-3410	266	27	electronic	electronic	ADJ
ejpam-3410	266	28	devices	device	NOUN
ejpam-3410	266	29	.	.	PUNCT
ejpam-3410	267	1	table	table	NOUN
ejpam-3410	267	2	5	5	NUM
ejpam-3410	267	3	:	:	PUNCT
ejpam-3410	267	4	mle′s	mle′s	NOUN
ejpam-3410	267	5	of	of	ADP
ejpam-3410	267	6	the	the	DET
ejpam-3410	267	7	parameters	parameter	NOUN
ejpam-3410	267	8	and	and	CCONJ
ejpam-3410	267	9	respective	respective	ADJ
ejpam-3410	267	10	se′s	se′s	NOUN
ejpam-3410	267	11	for	for	ADP
ejpam-3410	267	12	selected	select	VERB
ejpam-3410	267	13	models	model	NOUN
ejpam-3410	267	14	.	.	PUNCT
ejpam-3410	268	1	distribution	distribution	NOUN
ejpam-3410	268	2	parameter	parameter	NOUN
ejpam-3410	268	3	estimate	estimate	NOUN
ejpam-3410	268	4	se	se	PROPN
ejpam-3410	268	5	ctu	ctu	PROPN
ejpam-3410	268	6	λ	λ	PROPN
ejpam-3410	268	7	-1	-1	PROPN
ejpam-3410	268	8	0.444	0.444	NUM
ejpam-3410	268	9	skew	skew	ADJ
ejpam-3410	268	10	uniform	uniform	ADJ
ejpam-3410	268	11	λ	λ	PROPN
ejpam-3410	268	12	0.022	0.022	NUM
ejpam-3410	268	13	0.246	0.246	NUM
ejpam-3410	268	14	beta	beta	PROPN
ejpam-3410	268	15	α	α	NOUN
ejpam-3410	268	16	,	,	PUNCT
ejpam-3410	268	17	β	β	PROPN
ejpam-3410	268	18	0.607	0.607	NUM
ejpam-3410	268	19	,	,	PUNCT
ejpam-3410	268	20	0.591	0.591	NUM
ejpam-3410	268	21	0.142	0.142	NUM
ejpam-3410	268	22	,	,	PUNCT
ejpam-3410	268	23	0.138	0.138	NUM
ejpam-3410	268	24	kumaraswamy	kumaraswamy	PROPN
ejpam-3410	268	25	α	α	X
ejpam-3410	268	26	,	,	PUNCT
ejpam-3410	268	27	β	β	X
ejpam-3410	268	28	0.588	0.588	NUM
ejpam-3410	268	29	,	,	PUNCT
ejpam-3410	268	30	0.612	0.612	NUM
ejpam-3410	268	31	0.161	0.161	NUM
ejpam-3410	268	32	,	,	PUNCT
ejpam-3410	269	1	0.134	0.134	NUM
ejpam-3410	269	2	estimated	estimated	ADJ
ejpam-3410	269	3	density	density	NOUN
ejpam-3410	269	4	and	and	CCONJ
ejpam-3410	269	5	reliability	reliability	NOUN
ejpam-3410	269	6	curves	curve	NOUN
ejpam-3410	269	7	for	for	ADP
ejpam-3410	269	8	the	the	DET
ejpam-3410	269	9	selected	select	VERB
ejpam-3410	269	10	models	model	NOUN
ejpam-3410	269	11	have	have	AUX
ejpam-3410	269	12	been	be	AUX
ejpam-3410	269	13	plotted	plot	VERB
ejpam-3410	269	14	over	over	ADP
ejpam-3410	269	15	empirical	empirical	ADJ
ejpam-3410	269	16	histogram	histogram	NOUN
ejpam-3410	269	17	and	and	CCONJ
ejpam-3410	269	18	empirical	empirical	ADJ
ejpam-3410	269	19	reliability	reliability	NOUN
ejpam-3410	269	20	curves	curve	NOUN
ejpam-3410	269	21	in	in	ADP
ejpam-3410	269	22	the	the	DET
ejpam-3410	269	23	upper	upper	ADJ
ejpam-3410	269	24	left	left	NOUN
ejpam-3410	269	25	and	and	CCONJ
ejpam-3410	269	26	upper	upper	ADJ
ejpam-3410	269	27	right	right	ADJ
ejpam-3410	269	28	corner	corner	NOUN
ejpam-3410	269	29	of	of	ADP
ejpam-3410	269	30	the	the	DET
ejpam-3410	269	31	figure	figure	NOUN
ejpam-3410	269	32	5	5	NUM
ejpam-3410	269	33	.	.	PUNCT
ejpam-3410	270	1	it	it	PRON
ejpam-3410	270	2	has	have	AUX
ejpam-3410	270	3	been	be	AUX
ejpam-3410	270	4	observed	observe	VERB
ejpam-3410	270	5	that	that	SCONJ
ejpam-3410	270	6	ctu	ctu	ADJ
ejpam-3410	270	7	distribution	distribution	NOUN
ejpam-3410	270	8	fitted	fit	VERB
ejpam-3410	270	9	very	very	ADV
ejpam-3410	270	10	well	well	ADV
ejpam-3410	270	11	as	as	ADP
ejpam-3410	270	12	compare	compare	VERB
ejpam-3410	270	13	with	with	ADP
ejpam-3410	270	14	other	other	ADJ
ejpam-3410	270	15	competitive	competitive	ADJ
ejpam-3410	270	16	models	model	NOUN
ejpam-3410	270	17	used	use	VERB
ejpam-3410	270	18	in	in	ADP
ejpam-3410	270	19	this	this	DET
ejpam-3410	270	20	study	study	NOUN
ejpam-3410	270	21	.	.	PUNCT
ejpam-3410	271	1	in	in	ADP
ejpam-3410	271	2	order	order	NOUN
ejpam-3410	271	3	to	to	PART
ejpam-3410	271	4	verify	verify	VERB
ejpam-3410	271	5	the	the	DET
ejpam-3410	271	6	shape	shape	NOUN
ejpam-3410	271	7	of	of	ADP
ejpam-3410	271	8	hazard	hazard	NOUN
ejpam-3410	271	9	rate	rate	NOUN
ejpam-3410	271	10	function	function	NOUN
ejpam-3410	271	11	,	,	PUNCT
ejpam-3410	271	12	the	the	DET
ejpam-3410	271	13	total	total	ADJ
ejpam-3410	271	14	time	time	NOUN
ejpam-3410	271	15	on	on	ADP
ejpam-3410	271	16	test	test	NOUN
ejpam-3410	271	17	(	(	PUNCT
ejpam-3410	271	18	ttt	ttt	NOUN
ejpam-3410	271	19	)	)	PUNCT
ejpam-3410	271	20	plot	plot	NOUN
ejpam-3410	271	21	is	be	AUX
ejpam-3410	271	22	used	use	VERB
ejpam-3410	271	23	.	.	PUNCT
ejpam-3410	272	1	for	for	ADP
ejpam-3410	272	2	more	more	ADJ
ejpam-3410	272	3	details	detail	NOUN
ejpam-3410	272	4	of	of	ADP
ejpam-3410	272	5	ttt	ttt	PROPN
ejpam-3410	272	6	plot	plot	NOUN
ejpam-3410	272	7	see	see	VERB
ejpam-3410	272	8	[	[	X
ejpam-3410	272	9	1	1	NUM
ejpam-3410	272	10	,	,	PUNCT
ejpam-3410	272	11	5	5	NUM
ejpam-3410	272	12	,	,	PUNCT
ejpam-3410	272	13	11	11	NUM
ejpam-3410	272	14	]	]	PUNCT
ejpam-3410	272	15	.	.	PUNCT
ejpam-3410	273	1	ttt	ttt	PROPN
ejpam-3410	273	2	plot	plot	NOUN
ejpam-3410	273	3	of	of	ADP
ejpam-3410	273	4	ctu	ctu	ADJ
ejpam-3410	273	5	distribution	distribution	NOUN
ejpam-3410	273	6	are	be	AUX
ejpam-3410	273	7	presented	present	VERB
ejpam-3410	273	8	in	in	ADP
ejpam-3410	273	9	lower	low	ADJ
ejpam-3410	273	10	left	left	NOUN
ejpam-3410	273	11	of	of	ADP
ejpam-3410	273	12	figure	figure	NOUN
ejpam-3410	273	13	5	5	NUM
ejpam-3410	273	14	.	.	PUNCT
ejpam-3410	274	1	it	it	PRON
ejpam-3410	274	2	has	have	AUX
ejpam-3410	274	3	been	be	AUX
ejpam-3410	274	4	observed	observe	VERB
ejpam-3410	274	5	a	a	DET
ejpam-3410	274	6	series	series	NOUN
ejpam-3410	274	7	of	of	ADP
ejpam-3410	274	8	convex	convex	PROPN
ejpam-3410	274	9	and	and	CCONJ
ejpam-3410	274	10	concave	concave	VERB
ejpam-3410	274	11	ttt	ttt	PROPN
ejpam-3410	274	12	plot	plot	NOUN
ejpam-3410	274	13	with	with	ADP
ejpam-3410	274	14	upward	upward	ADJ
ejpam-3410	274	15	trend	trend	NOUN
ejpam-3410	274	16	.	.	PUNCT
ejpam-3410	275	1	estimated	estimate	VERB
ejpam-3410	275	2	hazard	hazard	NOUN
ejpam-3410	275	3	curve	curve	NOUN
ejpam-3410	275	4	has	have	AUX
ejpam-3410	275	5	been	be	AUX
ejpam-3410	275	6	plotted	plot	VERB
ejpam-3410	275	7	in	in	ADP
ejpam-3410	275	8	lower	low	ADJ
ejpam-3410	275	9	right	right	NOUN
ejpam-3410	275	10	of	of	ADP
ejpam-3410	275	11	figure	figure	NOUN
ejpam-3410	275	12	5	5	NUM
ejpam-3410	275	13	and	and	CCONJ
ejpam-3410	275	14	observed	observe	VERB
ejpam-3410	275	15	slight	slight	ADJ
ejpam-3410	275	16	decreasing	decrease	VERB
ejpam-3410	275	17	failure	failure	NOUN
ejpam-3410	275	18	rate	rate	NOUN
ejpam-3410	275	19	then	then	ADV
ejpam-3410	275	20	constant	constant	ADJ
ejpam-3410	275	21	failure	failure	NOUN
ejpam-3410	275	22	rate	rate	NOUN
ejpam-3410	275	23	and	and	CCONJ
ejpam-3410	275	24	dramatic	dramatic	ADJ
ejpam-3410	275	25	increasing	increase	VERB
ejpam-3410	275	26	failure	failure	NOUN
ejpam-3410	275	27	rate	rate	NOUN
ejpam-3410	275	28	at	at	ADP
ejpam-3410	275	29	the	the	DET
ejpam-3410	275	30	end	end	NOUN
ejpam-3410	275	31	.	.	PUNCT
ejpam-3410	276	1	table	table	NOUN
ejpam-3410	276	2	6	6	NUM
ejpam-3410	276	3	:	:	PUNCT
ejpam-3410	276	4	selection	selection	NOUN
ejpam-3410	276	5	criteria	criterion	NOUN
ejpam-3410	276	6	estimated	estimate	VERB
ejpam-3410	276	7	for	for	ADP
ejpam-3410	276	8	selected	select	VERB
ejpam-3410	276	9	models	model	NOUN
ejpam-3410	276	10	.	.	PUNCT
ejpam-3410	277	1	distribution	distribution	NOUN
ejpam-3410	277	2	loglike	loglike	ADP
ejpam-3410	277	3	aic	aic	PROPN
ejpam-3410	277	4	aicc	aicc	PROPN
ejpam-3410	277	5	bic	bic	PROPN
ejpam-3410	277	6	ctu	ctu	NOUN
ejpam-3410	277	7	6.196	6.196	NUM
ejpam-3410	277	8	-10.393	-10.393	NOUN
ejpam-3410	278	1	-10.250	-10.250	PROPN
ejpam-3410	278	2	-8.991	-8.991	PUNCT
ejpam-3410	278	3	skew	skew	ADJ
ejpam-3410	278	4	uniform	uniform	NOUN
ejpam-3410	278	5	0.004	0.004	NUM
ejpam-3410	278	6	1.992	1.992	NUM
ejpam-3410	278	7	2.135	2.135	NUM
ejpam-3410	278	8	3.393	3.393	NUM
ejpam-3410	278	9	beta	beta	NOUN
ejpam-3410	278	10	3.625	3.625	NUM
ejpam-3410	278	11	-3.250	-3.250	NUM
ejpam-3410	278	12	-2.805	-2.805	NOUN
ejpam-3410	278	13	-0.447	-0.447	X
ejpam-3410	278	14	kumaraswamy	kumaraswamy	NOUN
ejpam-3410	278	15	3.503	3.503	NUM
ejpam-3410	278	16	-3.005	-3.005	NOUN
ejpam-3410	278	17	-2.561	-2.561	PUNCT
ejpam-3410	278	18	-0.203	-0.203	PUNCT
ejpam-3410	278	19	we	we	PRON
ejpam-3410	278	20	have	have	AUX
ejpam-3410	278	21	considered	consider	VERB
ejpam-3410	278	22	various	various	ADJ
ejpam-3410	278	23	selection	selection	NOUN
ejpam-3410	278	24	criteria	criterion	NOUN
ejpam-3410	278	25	;	;	PUNCT
ejpam-3410	278	26	like	like	ADP
ejpam-3410	278	27	log	log	NOUN
ejpam-3410	278	28	-	-	PUNCT
ejpam-3410	278	29	likelihood	likelihood	NOUN
ejpam-3410	278	30	,	,	PUNCT
ejpam-3410	278	31	akaike	akaike	ADP
ejpam-3410	278	32	’s	’s	PART
ejpam-3410	278	33	information	information	NOUN
ejpam-3410	278	34	criterion	criterion	NOUN
ejpam-3410	278	35	(	(	PUNCT
ejpam-3410	278	36	aic	aic	PROPN
ejpam-3410	278	37	)	)	PUNCT
ejpam-3410	278	38	,	,	PUNCT
ejpam-3410	278	39	corrected	correct	VERB
ejpam-3410	278	40	akaike	akaike	ADP
ejpam-3410	278	41	’s	’s	PART
ejpam-3410	278	42	information	information	NOUN
ejpam-3410	278	43	criterion	criterion	NOUN
ejpam-3410	278	44	(	(	PUNCT
ejpam-3410	278	45	aicc	aicc	NOUN
ejpam-3410	278	46	)	)	PUNCT
ejpam-3410	278	47	and	and	CCONJ
ejpam-3410	278	48	bayesian	bayesian	NOUN
ejpam-3410	278	49	informam	informam	NOUN
ejpam-3410	278	50	.	.	PUNCT
ejpam-3410	279	1	q.	q.	PROPN
ejpam-3410	279	2	shahbaz	shahbaz	PROPN
ejpam-3410	279	3	et	et	PROPN
ejpam-3410	279	4	al	al	PROPN
ejpam-3410	279	5	.	.	PUNCT
ejpam-3410	279	6	/	/	SYM
ejpam-3410	279	7	eur	eur	PROPN
ejpam-3410	279	8	.	.	PUNCT
ejpam-3410	280	1	j.	j.	PROPN
ejpam-3410	280	2	pure	pure	PROPN
ejpam-3410	280	3	appl	appl	PROPN
ejpam-3410	280	4	.	.	PROPN
ejpam-3410	280	5	math	math	PROPN
ejpam-3410	280	6	,	,	PUNCT
ejpam-3410	280	7	12	12	NUM
ejpam-3410	280	8	(	(	PUNCT
ejpam-3410	280	9	3	3	NUM
ejpam-3410	280	10	)	)	PUNCT
ejpam-3410	280	11	(	(	PUNCT
ejpam-3410	280	12	2019	2019	NUM
ejpam-3410	280	13	)	)	PUNCT
ejpam-3410	280	14	,	,	PUNCT
ejpam-3410	280	15	1106	1106	NUM
ejpam-3410	280	16	-	-	SYM
ejpam-3410	280	17	1121	1121	NUM
ejpam-3410	280	18	1119	1119	NUM
ejpam-3410	280	19	0.0	0.0	NUM
ejpam-3410	280	20	0.5	0.5	NUM
ejpam-3410	280	21	1.0	1.0	NUM
ejpam-3410	280	22	1.5	1.5	NUM
ejpam-3410	280	23	2.0	2.0	NUM
ejpam-3410	280	24	0.00	0.00	NUM
ejpam-3410	280	25	0.25	0.25	NUM
ejpam-3410	280	26	0.50	0.50	NUM
ejpam-3410	280	27	0.75	0.75	NUM
ejpam-3410	280	28	1.00	1.00	NUM
ejpam-3410	280	29	x	x	SYM
ejpam-3410	281	1	d	d	X
ejpam-3410	281	2	en	en	ADP
ejpam-3410	281	3	si	si	X
ejpam-3410	281	4	ty	ty	X
ejpam-3410	281	5	linetype	linetype	ADJ
ejpam-3410	281	6	empirical	empirical	ADJ
ejpam-3410	281	7	distributions	distribution	NOUN
ejpam-3410	281	8	1	1	NUM
ejpam-3410	281	9	.	.	PUNCT
ejpam-3410	281	10	ctu	ctu	PROPN
ejpam-3410	281	11	2	2	PROPN
ejpam-3410	281	12	.	.	PUNCT
ejpam-3410	281	13	tu	tu	PROPN
ejpam-3410	281	14	3	3	X
ejpam-3410	281	15	.	.	PUNCT
ejpam-3410	282	1	beta	beta	ADJ
ejpam-3410	282	2	4	4	NUM
ejpam-3410	282	3	.	.	PUNCT
ejpam-3410	282	4	kumaraswamy	kumaraswamy	NOUN
ejpam-3410	282	5	0.00	0.00	NUM
ejpam-3410	282	6	0.25	0.25	NUM
ejpam-3410	282	7	0.50	0.50	NUM
ejpam-3410	282	8	0.75	0.75	NUM
ejpam-3410	282	9	1.00	1.00	NUM
ejpam-3410	282	10	0.00	0.00	NUM
ejpam-3410	282	11	0.25	0.25	NUM
ejpam-3410	282	12	0.50	0.50	NUM
ejpam-3410	282	13	0.75	0.75	NUM
ejpam-3410	282	14	1.00	1.00	NUM
ejpam-3410	282	15	t	t	NOUN
ejpam-3410	282	16	s	s	X
ejpam-3410	282	17	ur	ur	INTJ
ejpam-3410	282	18	vi	vi	PROPN
ejpam-3410	282	19	va	va	PROPN
ejpam-3410	282	20	l	l	PROPN
ejpam-3410	282	21	distributions	distribution	NOUN
ejpam-3410	282	22	1	1	NUM
ejpam-3410	282	23	.	.	PUNCT
ejpam-3410	283	1	ctu	ctu	PROPN
ejpam-3410	283	2	2	2	PROPN
ejpam-3410	283	3	.	.	PUNCT
ejpam-3410	283	4	tu	tu	PROPN
ejpam-3410	283	5	3	3	X
ejpam-3410	283	6	.	.	PUNCT
ejpam-3410	284	1	beta	beta	ADJ
ejpam-3410	284	2	4	4	NUM
ejpam-3410	284	3	.	.	PUNCT
ejpam-3410	284	4	kumaraswamy	kumaraswamy	NOUN
ejpam-3410	284	5	0.00	0.00	NUM
ejpam-3410	284	6	0.25	0.25	NUM
ejpam-3410	284	7	0.50	0.50	NUM
ejpam-3410	284	8	0.75	0.75	NUM
ejpam-3410	284	9	1.00	1.00	NUM
ejpam-3410	284	10	0.00	0.00	NUM
ejpam-3410	284	11	0.25	0.25	NUM
ejpam-3410	284	12	0.50	0.50	NUM
ejpam-3410	284	13	0.75	0.75	NUM
ejpam-3410	284	14	1.00	1.00	NUM
ejpam-3410	284	15	r	r	NOUN
ejpam-3410	284	16	/	/	SYM
ejpam-3410	284	17	n	n	NOUN
ejpam-3410	284	18	f	f	NOUN
ejpam-3410	284	19	ttt	ttt	PROPN
ejpam-3410	284	20	plot	plot	NOUN
ejpam-3410	284	21	0	0	NUM
ejpam-3410	284	22	25	25	NUM
ejpam-3410	284	23	50	50	NUM
ejpam-3410	284	24	75	75	NUM
ejpam-3410	284	25	100	100	NUM
ejpam-3410	284	26	0.00	0.00	NUM
ejpam-3410	284	27	0.25	0.25	NUM
ejpam-3410	284	28	0.50	0.50	NUM
ejpam-3410	284	29	0.75	0.75	NUM
ejpam-3410	284	30	1.00	1.00	NUM
ejpam-3410	284	31	t	t	NOUN
ejpam-3410	284	32	h	h	PROPN
ejpam-3410	284	33	(	(	PUNCT
ejpam-3410	284	34	t	t	PROPN
ejpam-3410	284	35	)	)	PUNCT
ejpam-3410	284	36	figure	figure	NOUN
ejpam-3410	284	37	5	5	NUM
ejpam-3410	284	38	:	:	PUNCT
ejpam-3410	284	39	estimated	estimate	VERB
ejpam-3410	284	40	density	density	NOUN
ejpam-3410	284	41	curves	curve	NOUN
ejpam-3410	284	42	(	(	PUNCT
ejpam-3410	284	43	top	top	ADJ
ejpam-3410	284	44	left	left	ADJ
ejpam-3410	284	45	)	)	PUNCT
ejpam-3410	284	46	,	,	PUNCT
ejpam-3410	284	47	estimated	estimate	VERB
ejpam-3410	284	48	reliability	reliability	NOUN
ejpam-3410	284	49	curves	curve	NOUN
ejpam-3410	284	50	(	(	PUNCT
ejpam-3410	284	51	top	top	ADJ
ejpam-3410	284	52	right	right	NOUN
ejpam-3410	284	53	)	)	PUNCT
ejpam-3410	284	54	,	,	PUNCT
ejpam-3410	284	55	ttt	ttt	PROPN
ejpam-3410	284	56	plot	plot	NOUN
ejpam-3410	284	57	(	(	PUNCT
ejpam-3410	284	58	bottom	bottom	NOUN
ejpam-3410	284	59	left	left	ADJ
ejpam-3410	284	60	)	)	PUNCT
ejpam-3410	284	61	and	and	CCONJ
ejpam-3410	284	62	hazard	hazard	NOUN
ejpam-3410	284	63	estimate	estimate	NOUN
ejpam-3410	284	64	curve	curve	NOUN
ejpam-3410	284	65	(	(	PUNCT
ejpam-3410	284	66	bottom	bottom	ADJ
ejpam-3410	284	67	right	right	NOUN
ejpam-3410	284	68	)	)	PUNCT
ejpam-3410	284	69	.	.	PUNCT
ejpam-3410	285	1	tion	tion	NOUN
ejpam-3410	285	2	criterion	criterion	NOUN
ejpam-3410	285	3	(	(	PUNCT
ejpam-3410	285	4	bic	bic	PROPN
ejpam-3410	285	5	)	)	PUNCT
ejpam-3410	285	6	;	;	PUNCT
ejpam-3410	285	7	to	to	PART
ejpam-3410	285	8	see	see	VERB
ejpam-3410	285	9	the	the	DET
ejpam-3410	285	10	goodness	goodness	NOUN
ejpam-3410	285	11	of	of	ADP
ejpam-3410	285	12	fit	fit	NOUN
ejpam-3410	285	13	of	of	ADP
ejpam-3410	285	14	various	various	ADJ
ejpam-3410	285	15	models	model	NOUN
ejpam-3410	285	16	.	.	PUNCT
ejpam-3410	286	1	the	the	DET
ejpam-3410	286	2	computed	compute	VERB
ejpam-3410	286	3	values	value	NOUN
ejpam-3410	286	4	of	of	ADP
ejpam-3410	286	5	these	these	DET
ejpam-3410	286	6	selection	selection	NOUN
ejpam-3410	286	7	criteria	criterion	NOUN
ejpam-3410	286	8	are	be	AUX
ejpam-3410	286	9	given	give	VERB
ejpam-3410	286	10	in	in	ADP
ejpam-3410	286	11	table	table	NOUN
ejpam-3410	286	12	6	6	NUM
ejpam-3410	287	1	and	and	CCONJ
ejpam-3410	287	2	we	we	PRON
ejpam-3410	287	3	have	have	AUX
ejpam-3410	287	4	observed	observe	VERB
ejpam-3410	287	5	the	the	DET
ejpam-3410	287	6	positive	positive	ADJ
ejpam-3410	287	7	log	log	NOUN
ejpam-3410	287	8	-	-	PUNCT
ejpam-3410	287	9	likelihood	likelihood	NOUN
ejpam-3410	287	10	along	along	ADP
ejpam-3410	287	11	with	with	ADP
ejpam-3410	287	12	negative	negative	ADJ
ejpam-3410	287	13	aic	aic	PROPN
ejpam-3410	287	14	,	,	PUNCT
ejpam-3410	287	15	aicc	aicc	NOUN
ejpam-3410	287	16	and	and	CCONJ
ejpam-3410	287	17	bic	bic	PROPN
ejpam-3410	287	18	values	value	NOUN
ejpam-3410	287	19	(	(	PUNCT
ejpam-3410	287	20	for	for	ADP
ejpam-3410	287	21	example	example	NOUN
ejpam-3410	287	22	,	,	PUNCT
ejpam-3410	287	23	see	see	VERB
ejpam-3410	287	24	[	[	X
ejpam-3410	287	25	7	7	NUM
ejpam-3410	287	26	]	]	PUNCT
ejpam-3410	287	27	)	)	PUNCT
ejpam-3410	287	28	for	for	ADP
ejpam-3410	287	29	ctu	ctu	NOUN
ejpam-3410	287	30	,	,	PUNCT
ejpam-3410	287	31	beta	beta	ADJ
ejpam-3410	287	32	and	and	CCONJ
ejpam-3410	287	33	kumaraswamy	kumaraswamy	ADJ
ejpam-3410	287	34	distributions	distribution	NOUN
ejpam-3410	287	35	.	.	PUNCT
ejpam-3410	288	1	the	the	DET
ejpam-3410	288	2	computed	compute	VERB
ejpam-3410	288	3	selection	selection	NOUN
ejpam-3410	288	4	criteria	criterion	NOUN
ejpam-3410	288	5	values	value	NOUN
ejpam-3410	288	6	are	be	AUX
ejpam-3410	288	7	positive	positive	ADJ
ejpam-3410	288	8	for	for	ADP
ejpam-3410	288	9	skew	skew	ADJ
ejpam-3410	288	10	uniform	uniform	ADJ
ejpam-3410	288	11	distribution	distribution	NOUN
ejpam-3410	288	12	.	.	PUNCT
ejpam-3410	289	1	according	accord	VERB
ejpam-3410	289	2	to	to	ADP
ejpam-3410	289	3	the	the	DET
ejpam-3410	289	4	values	value	NOUN
ejpam-3410	289	5	of	of	ADP
ejpam-3410	289	6	highest	high	ADJ
ejpam-3410	289	7	log	log	NOUN
ejpam-3410	289	8	-	-	PUNCT
ejpam-3410	289	9	likelihood	likelihood	NOUN
ejpam-3410	289	10	and	and	CCONJ
ejpam-3410	289	11	lowest	low	ADJ
ejpam-3410	289	12	aic	aic	PROPN
ejpam-3410	289	13	,	,	PUNCT
ejpam-3410	289	14	aicc	aicc	NOUN
ejpam-3410	289	15	and	and	CCONJ
ejpam-3410	289	16	bic	bic	PROPN
ejpam-3410	289	17	,	,	PUNCT
ejpam-3410	289	18	the	the	DET
ejpam-3410	289	19	proposed	propose	VERB
ejpam-3410	289	20	ctu	ctu	NOUN
ejpam-3410	289	21	distribution	distribution	NOUN
ejpam-3410	289	22	is	be	AUX
ejpam-3410	289	23	the	the	DET
ejpam-3410	289	24	most	most	ADV
ejpam-3410	289	25	competitive	competitive	ADJ
ejpam-3410	289	26	model	model	NOUN
ejpam-3410	289	27	for	for	ADP
ejpam-3410	289	28	this	this	DET
ejpam-3410	289	29	data	datum	NOUN
ejpam-3410	289	30	.	.	PUNCT
ejpam-3410	290	1	8	8	X
ejpam-3410	290	2	.	.	X
ejpam-3410	290	3	concluding	conclude	VERB
ejpam-3410	290	4	remarks	remark	NOUN
ejpam-3410	290	5	we	we	PRON
ejpam-3410	290	6	have	have	AUX
ejpam-3410	290	7	proposed	propose	VERB
ejpam-3410	290	8	cubic	cubic	ADJ
ejpam-3410	290	9	transmuted	transmute	VERB
ejpam-3410	290	10	family	family	NOUN
ejpam-3410	290	11	of	of	ADP
ejpam-3410	290	12	distributions	distribution	NOUN
ejpam-3410	290	13	and	and	CCONJ
ejpam-3410	290	14	have	have	AUX
ejpam-3410	290	15	introduced	introduce	VERB
ejpam-3410	290	16	ctu	ctu	ADJ
ejpam-3410	290	17	distribution	distribution	NOUN
ejpam-3410	290	18	.	.	PUNCT
ejpam-3410	291	1	various	various	ADJ
ejpam-3410	291	2	statistical	statistical	ADJ
ejpam-3410	291	3	properties	property	NOUN
ejpam-3410	291	4	;	;	PUNCT
ejpam-3410	291	5	including	include	VERB
ejpam-3410	291	6	moments	moment	NOUN
ejpam-3410	291	7	,	,	PUNCT
ejpam-3410	291	8	quantile	quantile	ADJ
ejpam-3410	291	9	and	and	CCONJ
ejpam-3410	291	10	generating	generating	NOUN
ejpam-3410	291	11	functions	function	NOUN
ejpam-3410	291	12	,	,	PUNCT
ejpam-3410	291	13	random	random	ADJ
ejpam-3410	291	14	number	number	NOUN
ejpam-3410	291	15	generation	generation	NOUN
ejpam-3410	291	16	,	,	PUNCT
ejpam-3410	291	17	reliability	reliability	NOUN
ejpam-3410	291	18	function	function	NOUN
ejpam-3410	291	19	and	and	CCONJ
ejpam-3410	291	20	shannon	shannon	PROPN
ejpam-3410	291	21	entropy	entropy	PROPN
ejpam-3410	291	22	;	;	PUNCT
ejpam-3410	291	23	of	of	ADP
ejpam-3410	291	24	the	the	DET
ejpam-3410	291	25	references	reference	NOUN
ejpam-3410	291	26	1120	1120	NUM
ejpam-3410	291	27	proposed	propose	VERB
ejpam-3410	291	28	ctu	ctu	NOUN
ejpam-3410	291	29	distribution	distribution	NOUN
ejpam-3410	291	30	have	have	AUX
ejpam-3410	291	31	been	be	AUX
ejpam-3410	291	32	studied	study	VERB
ejpam-3410	291	33	along	along	ADP
ejpam-3410	291	34	with	with	ADP
ejpam-3410	291	35	the	the	DET
ejpam-3410	291	36	distribution	distribution	NOUN
ejpam-3410	291	37	of	of	ADP
ejpam-3410	291	38	order	order	NOUN
ejpam-3410	291	39	statistics	statistic	NOUN
ejpam-3410	291	40	.	.	PUNCT
ejpam-3410	292	1	the	the	DET
ejpam-3410	292	2	maximum	maximum	ADJ
ejpam-3410	292	3	likelihood	likelihood	NOUN
ejpam-3410	292	4	estimate	estimate	NOUN
ejpam-3410	292	5	of	of	ADP
ejpam-3410	292	6	parameter	parameter	NOUN
ejpam-3410	292	7	has	have	AUX
ejpam-3410	292	8	been	be	AUX
ejpam-3410	292	9	discussed	discuss	VERB
ejpam-3410	292	10	and	and	CCONJ
ejpam-3410	292	11	a	a	DET
ejpam-3410	292	12	simulation	simulation	NOUN
ejpam-3410	292	13	study	study	NOUN
ejpam-3410	292	14	has	have	AUX
ejpam-3410	292	15	been	be	AUX
ejpam-3410	292	16	conducted	conduct	VERB
ejpam-3410	292	17	to	to	PART
ejpam-3410	292	18	see	see	VERB
ejpam-3410	292	19	the	the	DET
ejpam-3410	292	20	performance	performance	NOUN
ejpam-3410	292	21	of	of	ADP
ejpam-3410	292	22	estimation	estimation	NOUN
ejpam-3410	292	23	procedure	procedure	NOUN
ejpam-3410	292	24	.	.	PUNCT
ejpam-3410	293	1	we	we	PRON
ejpam-3410	293	2	have	have	AUX
ejpam-3410	293	3	also	also	ADV
ejpam-3410	293	4	fitted	fit	VERB
ejpam-3410	293	5	the	the	DET
ejpam-3410	293	6	proposed	propose	VERB
ejpam-3410	293	7	ctu	ctu	NOUN
ejpam-3410	293	8	distribution	distribution	NOUN
ejpam-3410	293	9	on	on	ADP
ejpam-3410	293	10	a	a	DET
ejpam-3410	293	11	real	real	ADJ
ejpam-3410	293	12	data	datum	NOUN
ejpam-3410	293	13	set	set	VERB
ejpam-3410	293	14	and	and	CCONJ
ejpam-3410	293	15	have	have	AUX
ejpam-3410	293	16	found	find	VERB
ejpam-3410	293	17	that	that	SCONJ
ejpam-3410	293	18	our	our	PRON
ejpam-3410	293	19	proposed	propose	VERB
ejpam-3410	293	20	distribution	distribution	NOUN
ejpam-3410	293	21	is	be	AUX
ejpam-3410	293	22	most	most	ADV
ejpam-3410	293	23	adequate	adequate	ADJ
ejpam-3410	293	24	fit	fit	ADJ
ejpam-3410	293	25	to	to	ADP
ejpam-3410	293	26	the	the	DET
ejpam-3410	293	27	data	datum	NOUN
ejpam-3410	293	28	as	as	SCONJ
ejpam-3410	293	29	compared	compare	VERB
ejpam-3410	293	30	with	with	ADP
ejpam-3410	293	31	other	other	ADJ
ejpam-3410	293	32	competing	compete	VERB
ejpam-3410	293	33	models	model	NOUN
ejpam-3410	293	34	used	use	VERB
ejpam-3410	293	35	in	in	ADP
ejpam-3410	293	36	the	the	DET
ejpam-3410	293	37	study	study	NOUN
ejpam-3410	293	38	.	.	PUNCT
ejpam-3410	294	1	acknowledgements	acknowledgement	NOUN
ejpam-3410	294	2	this	this	DET
ejpam-3410	294	3	article	article	NOUN
ejpam-3410	294	4	was	be	AUX
ejpam-3410	294	5	funded	fund	VERB
ejpam-3410	294	6	by	by	ADP
ejpam-3410	294	7	the	the	DET
ejpam-3410	294	8	deanship	deanship	NOUN
ejpam-3410	294	9	of	of	ADP
ejpam-3410	294	10	scientific	scientific	ADJ
ejpam-3410	294	11	research	research	NOUN
ejpam-3410	294	12	(	(	PUNCT
ejpam-3410	294	13	dsr	dsr	PROPN
ejpam-3410	294	14	)	)	PUNCT
ejpam-3410	294	15	at	at	ADP
ejpam-3410	294	16	king	king	PROPN
ejpam-3410	294	17	abdulaziz	abdulaziz	PROPN
ejpam-3410	294	18	university	university	PROPN
ejpam-3410	294	19	,	,	PUNCT
ejpam-3410	294	20	jeddah	jeddah	PROPN
ejpam-3410	294	21	.	.	PUNCT
ejpam-3410	295	1	the	the	DET
ejpam-3410	295	2	authors	author	NOUN
ejpam-3410	295	3	,	,	PUNCT
ejpam-3410	295	4	therefore	therefore	ADV
ejpam-3410	295	5	,	,	PUNCT
ejpam-3410	295	6	acknowledge	acknowledge	VERB
ejpam-3410	295	7	with	with	ADP
ejpam-3410	295	8	thanks	thank	NOUN
ejpam-3410	295	9	dsr	dsr	PROPN
ejpam-3410	295	10	for	for	ADP
ejpam-3410	295	11	technical	technical	ADJ
ejpam-3410	295	12	and	and	CCONJ
ejpam-3410	295	13	financial	financial	ADJ
ejpam-3410	295	14	support	support	NOUN
ejpam-3410	295	15	.	.	PUNCT
ejpam-3410	296	1	references	reference	NOUN
ejpam-3410	296	2	[	[	X
ejpam-3410	296	3	1	1	NUM
ejpam-3410	296	4	]	]	PUNCT
ejpam-3410	296	5	m.	m.	NOUN
ejpam-3410	296	6	v.	v.	ADP
ejpam-3410	296	7	aarset	aarset	NOUN
ejpam-3410	296	8	.	.	PUNCT
ejpam-3410	297	1	how	how	SCONJ
ejpam-3410	297	2	to	to	PART
ejpam-3410	297	3	identify	identify	VERB
ejpam-3410	297	4	a	a	DET
ejpam-3410	297	5	bathtub	bathtub	ADJ
ejpam-3410	297	6	hazard	hazard	NOUN
ejpam-3410	297	7	rate	rate	NOUN
ejpam-3410	297	8	.	.	PUNCT
ejpam-3410	298	1	ieee	ieee	NOUN
ejpam-3410	298	2	transactions	transaction	NOUN
ejpam-3410	298	3	on	on	ADP
ejpam-3410	298	4	reliability	reliability	NOUN
ejpam-3410	298	5	,	,	PUNCT
ejpam-3410	298	6	36:106–108	36:106–108	NUM
ejpam-3410	298	7	,	,	PUNCT
ejpam-3410	298	8	1987	1987	NUM
ejpam-3410	298	9	.	.	PUNCT
ejpam-3410	299	1	[	[	X
ejpam-3410	299	2	2	2	NUM
ejpam-3410	299	3	]	]	PUNCT
ejpam-3410	299	4	m.	m.	NOUN
ejpam-3410	299	5	alizadeh	alizadeh	NOUN
ejpam-3410	299	6	,	,	PUNCT
ejpam-3410	299	7	f.	f.	PROPN
ejpam-3410	299	8	merovci	merovci	PROPN
ejpam-3410	299	9	,	,	PUNCT
ejpam-3410	299	10	and	and	CCONJ
ejpam-3410	299	11	g.	g.	PROPN
ejpam-3410	299	12	g.	g.	PROPN
ejpam-3410	299	13	hamedani	hamedani	PROPN
ejpam-3410	299	14	.	.	PUNCT
ejpam-3410	300	1	generalized	generalize	VERB
ejpam-3410	300	2	transmuted	transmuted	ADJ
ejpam-3410	300	3	family	family	NOUN
ejpam-3410	300	4	of	of	ADP
ejpam-3410	300	5	distributions	distribution	NOUN
ejpam-3410	300	6	:	:	PUNCT
ejpam-3410	300	7	properties	property	NOUN
ejpam-3410	300	8	and	and	CCONJ
ejpam-3410	300	9	applications	application	NOUN
ejpam-3410	300	10	.	.	PUNCT
ejpam-3410	301	1	hacettepe	hacettepe	PROPN
ejpam-3410	301	2	journal	journal	PROPN
ejpam-3410	301	3	of	of	ADP
ejpam-3410	301	4	mathematics	mathematic	NOUN
ejpam-3410	301	5	and	and	CCONJ
ejpam-3410	301	6	statistics	statistic	NOUN
ejpam-3410	301	7	,	,	PUNCT
ejpam-3410	301	8	46:645–667	46:645–667	PROPN
ejpam-3410	301	9	,	,	PUNCT
ejpam-3410	301	10	doi:10.15672	doi:10.15672	PROPN
ejpam-3410	301	11	/	/	SYM
ejpam-3410	301	12	hjms.201610915478	hjms.201610915478	PROPN
ejpam-3410	301	13	,	,	PUNCT
ejpam-3410	301	14	2017	2017	NUM
ejpam-3410	301	15	.	.	PUNCT
ejpam-3410	302	1	[	[	X
ejpam-3410	302	2	3	3	NUM
ejpam-3410	302	3	]	]	PUNCT
ejpam-3410	302	4	a.	a.	NOUN
ejpam-3410	302	5	alzaatreh	alzaatreh	PROPN
ejpam-3410	302	6	,	,	PUNCT
ejpam-3410	302	7	c.	c.	PROPN
ejpam-3410	302	8	lee	lee	PROPN
ejpam-3410	302	9	,	,	PUNCT
ejpam-3410	302	10	and	and	CCONJ
ejpam-3410	302	11	f.	f.	PROPN
ejpam-3410	302	12	famoye	famoye	PROPN
ejpam-3410	302	13	.	.	PUNCT
ejpam-3410	303	1	a	a	DET
ejpam-3410	303	2	new	new	ADJ
ejpam-3410	303	3	method	method	NOUN
ejpam-3410	303	4	for	for	ADP
ejpam-3410	303	5	generating	generate	VERB
ejpam-3410	303	6	families	family	NOUN
ejpam-3410	303	7	of	of	ADP
ejpam-3410	303	8	continuous	continuous	ADJ
ejpam-3410	303	9	distributions	distribution	NOUN
ejpam-3410	303	10	.	.	PUNCT
ejpam-3410	304	1	metron	metron	PROPN
ejpam-3410	304	2	,	,	PUNCT
ejpam-3410	304	3	71:63–79	71:63–79	ADV
ejpam-3410	304	4	,	,	PUNCT
ejpam-3410	304	5	doi:10.1007	doi:10.1007	ADJ
ejpam-3410	304	6	/	/	SYM
ejpam-3410	304	7	s40300–013–0007	s40300–013–0007	PRON
ejpam-3410	304	8	–	–	PUNCT
ejpam-3410	304	9	y	y	NOUN
ejpam-3410	304	10	,	,	PUNCT
ejpam-3410	304	11	2013	2013	NUM
ejpam-3410	304	12	.	.	PUNCT
ejpam-3410	305	1	[	[	X
ejpam-3410	305	2	4	4	NUM
ejpam-3410	305	3	]	]	PUNCT
ejpam-3410	305	4	a.	a.	NOUN
ejpam-3410	305	5	azzalini	azzalini	PROPN
ejpam-3410	305	6	.	.	PUNCT
ejpam-3410	306	1	a	a	DET
ejpam-3410	306	2	class	class	NOUN
ejpam-3410	306	3	of	of	ADP
ejpam-3410	306	4	distributions	distribution	NOUN
ejpam-3410	306	5	which	which	PRON
ejpam-3410	306	6	includes	include	VERB
ejpam-3410	306	7	the	the	DET
ejpam-3410	306	8	normal	normal	ADJ
ejpam-3410	306	9	ones	one	NOUN
ejpam-3410	306	10	.	.	PUNCT
ejpam-3410	307	1	scand	scand	PROPN
ejpam-3410	307	2	.	.	PUNCT
ejpam-3410	308	1	j.	j.	PROPN
ejpam-3410	308	2	stat	stat	PROPN
ejpam-3410	308	3	.	.	PUNCT
ejpam-3410	308	4	,	,	PUNCT
ejpam-3410	308	5	12:171–178	12:171–178	NUM
ejpam-3410	308	6	,	,	PUNCT
ejpam-3410	308	7	1985	1985	NUM
ejpam-3410	308	8	.	.	PUNCT
ejpam-3410	309	1	[	[	X
ejpam-3410	309	2	5	5	NUM
ejpam-3410	309	3	]	]	PUNCT
ejpam-3410	309	4	r.	r.	PROPN
ejpam-3410	309	5	e.	e.	PROPN
ejpam-3410	309	6	barlow	barlow	PROPN
ejpam-3410	309	7	and	and	CCONJ
ejpam-3410	309	8	r.	r.	PROPN
ejpam-3410	309	9	campo	campo	PROPN
ejpam-3410	309	10	.	.	PUNCT
ejpam-3410	310	1	total	total	ADJ
ejpam-3410	310	2	time	time	NOUN
ejpam-3410	310	3	on	on	ADP
ejpam-3410	310	4	test	test	NOUN
ejpam-3410	310	5	processes	process	NOUN
ejpam-3410	310	6	and	and	CCONJ
ejpam-3410	310	7	application	application	NOUN
ejpam-3410	310	8	to	to	ADP
ejpam-3410	310	9	failure	failure	NOUN
ejpam-3410	310	10	data	datum	NOUN
ejpam-3410	310	11	analysis	analysis	NOUN
ejpam-3410	310	12	,	,	PUNCT
ejpam-3410	310	13	1975	1975	NUM
ejpam-3410	310	14	.	.	PUNCT
ejpam-3410	311	1	reliability	reliability	NOUN
ejpam-3410	311	2	and	and	CCONJ
ejpam-3410	311	3	fault	fault	VERB
ejpam-3410	311	4	tree	tree	NOUN
ejpam-3410	311	5	analysis	analysis	NOUN
ejpam-3410	311	6	,	,	PUNCT
ejpam-3410	312	1	ed	ed	NOUN
ejpam-3410	312	2	.	.	PUNCT
ejpam-3410	312	3	barlow	barlow	PROPN
ejpam-3410	312	4	,	,	PUNCT
ejpam-3410	312	5	fussell	fussell	NOUN
ejpam-3410	312	6	,	,	PUNCT
ejpam-3410	312	7	singpurwalla	singpurwalla	NOUN
ejpam-3410	312	8	,	,	PUNCT
ejpam-3410	312	9	siam	siam	PROPN
ejpam-3410	312	10	,	,	PUNCT
ejpam-3410	312	11	pp	pp	ADP
ejpam-3410	312	12	451	451	NUM
ejpam-3410	312	13	-	-	SYM
ejpam-3410	312	14	481	481	NUM
ejpam-3410	312	15	.	.	PUNCT
ejpam-3410	313	1	[	[	X
ejpam-3410	313	2	6	6	NUM
ejpam-3410	313	3	]	]	PUNCT
ejpam-3410	313	4	ben	ben	PROPN
ejpam-3410	313	5	bolker	bolker	PROPN
ejpam-3410	313	6	.	.	PUNCT
ejpam-3410	314	1	package	package	NOUN
ejpam-3410	314	2	‘	'	PUNCT
ejpam-3410	314	3	bbmle	bbmle	NOUN
ejpam-3410	314	4	’	'	PUNCT
ejpam-3410	314	5	,	,	PUNCT
ejpam-3410	314	6	title	title	NOUN
ejpam-3410	314	7	:	:	PUNCT
ejpam-3410	314	8	tools	tool	NOUN
ejpam-3410	314	9	for	for	ADP
ejpam-3410	314	10	general	general	ADJ
ejpam-3410	314	11	maximum	maximum	ADJ
ejpam-3410	314	12	likelihood	likelihood	NOUN
ejpam-3410	314	13	estimation	estimation	NOUN
ejpam-3410	314	14	,	,	PUNCT
ejpam-3410	314	15	2017	2017	NUM
ejpam-3410	314	16	.	.	PUNCT
ejpam-3410	315	1	https://cran.r-project.org/web/packages/bbmle/bbmle.pdf	https://cran.r-project.org/web/packages/bbmle/bbmle.pdf	NOUN
ejpam-3410	315	2	.	.	PUNCT
ejpam-3410	316	1	[	[	X
ejpam-3410	316	2	7	7	X
ejpam-3410	316	3	]	]	X
ejpam-3410	316	4	m.	m.	NOUN
ejpam-3410	316	5	bourguignon	bourguignon	PROPN
ejpam-3410	316	6	,	,	PUNCT
ejpam-3410	316	7	i.	i.	PROPN
ejpam-3410	316	8	ghosh	ghosh	PROPN
ejpam-3410	316	9	,	,	PUNCT
ejpam-3410	316	10	and	and	CCONJ
ejpam-3410	316	11	g.	g.	PROPN
ejpam-3410	316	12	m.	m.	PROPN
ejpam-3410	316	13	cordeiro	cordeiro	PROPN
ejpam-3410	316	14	.	.	PUNCT
ejpam-3410	317	1	general	general	ADJ
ejpam-3410	317	2	results	result	NOUN
ejpam-3410	317	3	for	for	ADP
ejpam-3410	317	4	the	the	DET
ejpam-3410	317	5	transmuted	transmuted	ADJ
ejpam-3410	317	6	family	family	NOUN
ejpam-3410	317	7	of	of	ADP
ejpam-3410	317	8	distributions	distribution	NOUN
ejpam-3410	317	9	and	and	CCONJ
ejpam-3410	317	10	new	new	ADJ
ejpam-3410	317	11	models	model	NOUN
ejpam-3410	317	12	.	.	PUNCT
ejpam-3410	318	1	journal	journal	NOUN
ejpam-3410	318	2	of	of	ADP
ejpam-3410	318	3	probability	probability	NOUN
ejpam-3410	318	4	and	and	CCONJ
ejpam-3410	318	5	statistics	statistic	NOUN
ejpam-3410	318	6	,	,	PUNCT
ejpam-3410	318	7	article	article	NOUN
ejpam-3410	318	8	id:7208425	id:7208425	NUM
ejpam-3410	318	9	,	,	PUNCT
ejpam-3410	318	10	doi:10.1155/2016/7208425	doi:10.1155/2016/7208425	PROPN
ejpam-3410	318	11	,	,	PUNCT
ejpam-3410	318	12	2016	2016	NUM
ejpam-3410	318	13	.	.	PUNCT
ejpam-3410	319	1	[	[	X
ejpam-3410	319	2	8	8	NUM
ejpam-3410	319	3	]	]	X
ejpam-3410	319	4	g.	g.	PROPN
ejpam-3410	319	5	m.	m.	PROPN
ejpam-3410	319	6	cordeiro	cordeiro	PROPN
ejpam-3410	319	7	and	and	CCONJ
ejpam-3410	319	8	m.	m.	PROPN
ejpam-3410	319	9	de	de	PROPN
ejpam-3410	319	10	.	.	PROPN
ejpam-3410	319	11	castro	castro	PROPN
ejpam-3410	319	12	.	.	PUNCT
ejpam-3410	320	1	a	a	DET
ejpam-3410	320	2	new	new	ADJ
ejpam-3410	320	3	family	family	NOUN
ejpam-3410	320	4	of	of	ADP
ejpam-3410	320	5	generalized	generalized	ADJ
ejpam-3410	320	6	distributions	distribution	NOUN
ejpam-3410	320	7	.	.	PUNCT
ejpam-3410	321	1	journal	journal	NOUN
ejpam-3410	321	2	of	of	ADP
ejpam-3410	321	3	statistical	statistical	ADJ
ejpam-3410	321	4	computation	computation	NOUN
ejpam-3410	321	5	and	and	CCONJ
ejpam-3410	321	6	simulation	simulation	NOUN
ejpam-3410	321	7	,	,	PUNCT
ejpam-3410	321	8	81:883–898	81:883–898	PROPN
ejpam-3410	321	9	,	,	PUNCT
ejpam-3410	321	10	2010	2010	NUM
ejpam-3410	321	11	.	.	PUNCT
ejpam-3410	322	1	[	[	X
ejpam-3410	322	2	9	9	NUM
ejpam-3410	322	3	]	]	X
ejpam-3410	322	4	n.	n.	NOUN
ejpam-3410	322	5	eugene	eugene	PROPN
ejpam-3410	322	6	,	,	PUNCT
ejpam-3410	322	7	c.	c.	PROPN
ejpam-3410	322	8	lee	lee	PROPN
ejpam-3410	322	9	,	,	PUNCT
ejpam-3410	322	10	and	and	CCONJ
ejpam-3410	322	11	famoye	famoye	PROPN
ejpam-3410	322	12	f.	f.	PROPN
ejpam-3410	322	13	beta	beta	PROPN
ejpam-3410	322	14	-	-	PUNCT
ejpam-3410	322	15	normal	normal	ADJ
ejpam-3410	322	16	distribution	distribution	NOUN
ejpam-3410	322	17	and	and	CCONJ
ejpam-3410	322	18	its	its	PRON
ejpam-3410	322	19	applications	application	NOUN
ejpam-3410	322	20	.	.	PUNCT
ejpam-3410	323	1	communications	communication	NOUN
ejpam-3410	323	2	in	in	ADP
ejpam-3410	323	3	statistics	statistic	NOUN
ejpam-3410	323	4	-	-	PUNCT
ejpam-3410	323	5	theory	theory	NOUN
ejpam-3410	323	6	and	and	CCONJ
ejpam-3410	323	7	methods	method	NOUN
ejpam-3410	323	8	,	,	PUNCT
ejpam-3410	323	9	31:497–512	31:497–512	PROPN
ejpam-3410	323	10	,	,	PUNCT
ejpam-3410	323	11	2002	2002	NUM
ejpam-3410	323	12	.	.	PUNCT
ejpam-3410	324	1	[	[	X
ejpam-3410	324	2	10	10	NUM
ejpam-3410	324	3	]	]	X
ejpam-3410	324	4	i.	i.	PROPN
ejpam-3410	324	5	s.	s.	PROPN
ejpam-3410	324	6	gradshteyn	gradshteyn	PROPN
ejpam-3410	324	7	and	and	CCONJ
ejpam-3410	324	8	i.	i.	PROPN
ejpam-3410	324	9	m.	m.	PROPN
ejpam-3410	324	10	ryzhik	ryzhik	PROPN
ejpam-3410	324	11	.	.	PUNCT
ejpam-3410	325	1	table	table	NOUN
ejpam-3410	325	2	of	of	ADP
ejpam-3410	325	3	integrals	integral	NOUN
ejpam-3410	325	4	,	,	PUNCT
ejpam-3410	325	5	series	series	NOUN
ejpam-3410	325	6	,	,	PUNCT
ejpam-3410	325	7	and	and	CCONJ
ejpam-3410	325	8	products	product	NOUN
ejpam-3410	325	9	.	.	PUNCT
ejpam-3410	326	1	elsevier	elsevier	PROPN
ejpam-3410	326	2	,	,	PUNCT
ejpam-3410	326	3	usa	usa	PROPN
ejpam-3410	326	4	,	,	PUNCT
ejpam-3410	326	5	2007	2007	NUM
ejpam-3410	326	6	.	.	PUNCT
ejpam-3410	327	1	references	reference	NOUN
ejpam-3410	327	2	1121	1121	NUM
ejpam-3410	327	3	[	[	X
ejpam-3410	327	4	11	11	NUM
ejpam-3410	327	5	]	]	PUNCT
ejpam-3410	327	6	r.	r.	PROPN
ejpam-3410	327	7	maller	maller	PROPN
ejpam-3410	327	8	and	and	CCONJ
ejpam-3410	327	9	x.	x.	PROPN
ejpam-3410	327	10	zhou	zhou	PROPN
ejpam-3410	327	11	.	.	PUNCT
ejpam-3410	328	1	survival	survival	NOUN
ejpam-3410	328	2	analysis	analysis	NOUN
ejpam-3410	328	3	with	with	ADP
ejpam-3410	328	4	long	long	ADJ
ejpam-3410	328	5	-	-	PUNCT
ejpam-3410	328	6	term	term	NOUN
ejpam-3410	328	7	survivors	survivor	NOUN
ejpam-3410	328	8	.	.	PUNCT
ejpam-3410	329	1	john	john	PROPN
ejpam-3410	329	2	wiley	wiley	PROPN
ejpam-3410	329	3	and	and	CCONJ
ejpam-3410	329	4	sons	son	NOUN
ejpam-3410	329	5	,	,	PUNCT
ejpam-3410	329	6	chichester	chichester	PROPN
ejpam-3410	329	7	,	,	PUNCT
ejpam-3410	329	8	england	england	PROPN
ejpam-3410	329	9	,	,	PUNCT
ejpam-3410	329	10	1996	1996	NUM
ejpam-3410	329	11	.	.	PUNCT
ejpam-3410	330	1	[	[	X
ejpam-3410	330	2	12	12	NUM
ejpam-3410	330	3	]	]	X
ejpam-3410	330	4	s.	s.	PROPN
ejpam-3410	330	5	nadarajah	nadarajah	PROPN
ejpam-3410	330	6	and	and	CCONJ
ejpam-3410	330	7	g.	g.	PROPN
ejpam-3410	330	8	aryal	aryal	PROPN
ejpam-3410	330	9	.	.	PUNCT
ejpam-3410	331	1	on	on	ADP
ejpam-3410	331	2	the	the	DET
ejpam-3410	331	3	skew	skew	ADJ
ejpam-3410	331	4	uniform	uniform	ADJ
ejpam-3410	331	5	distribution	distribution	NOUN
ejpam-3410	331	6	.	.	PUNCT
ejpam-3410	332	1	random	random	ADJ
ejpam-3410	332	2	oper	oper	NOUN
ejpam-3410	332	3	.	.	PROPN
ejpam-3410	332	4	and	and	CCONJ
ejpam-3410	332	5	stoch	stoch	PROPN
ejpam-3410	332	6	.	.	PUNCT
ejpam-3410	333	1	equ	equ	PROPN
ejpam-3410	333	2	.	.	PROPN
ejpam-3410	333	3	,	,	PUNCT
ejpam-3410	333	4	12:319–330	12:319–330	NUM
ejpam-3410	333	5	,	,	PUNCT
ejpam-3410	333	6	2004	2004	NUM
ejpam-3410	333	7	.	.	PUNCT
ejpam-3410	334	1	[	[	X
ejpam-3410	334	2	13	13	NUM
ejpam-3410	334	3	]	]	PUNCT
ejpam-3410	334	4	m.	m.	NOUN
ejpam-3410	334	5	m.	m.	PROPN
ejpam-3410	334	6	rahman	rahman	PROPN
ejpam-3410	334	7	,	,	PUNCT
ejpam-3410	334	8	b.	b.	PROPN
ejpam-3410	334	9	al	al	PROPN
ejpam-3410	334	10	-	-	PUNCT
ejpam-3410	334	11	zahrani	zahrani	PROPN
ejpam-3410	334	12	,	,	PUNCT
ejpam-3410	334	13	and	and	CCONJ
ejpam-3410	334	14	m.	m.	PROPN
ejpam-3410	334	15	q.	q.	PROPN
ejpam-3410	334	16	shahbaz	shahbaz	PROPN
ejpam-3410	334	17	.	.	PUNCT
ejpam-3410	335	1	a	a	DET
ejpam-3410	335	2	general	general	ADJ
ejpam-3410	335	3	transmuted	transmuted	ADJ
ejpam-3410	335	4	family	family	NOUN
ejpam-3410	335	5	of	of	ADP
ejpam-3410	335	6	distributions	distribution	NOUN
ejpam-3410	335	7	.	.	PUNCT
ejpam-3410	336	1	pak	pak	PROPN
ejpam-3410	336	2	j	j	PROPN
ejpam-3410	336	3	stat	stat	PROPN
ejpam-3410	336	4	oper	oper	PROPN
ejpam-3410	336	5	res	re	NOUN
ejpam-3410	336	6	,	,	PUNCT
ejpam-3410	336	7	14(2):451–469	14(2):451–469	PROPN
ejpam-3410	336	8	,	,	PUNCT
ejpam-3410	336	9	2018	2018	NUM
ejpam-3410	336	10	.	.	PUNCT
ejpam-3410	337	1	[	[	X
ejpam-3410	337	2	14	14	NUM
ejpam-3410	337	3	]	]	PUNCT
ejpam-3410	337	4	m.	m.	NOUN
ejpam-3410	337	5	m.	m.	PROPN
ejpam-3410	337	6	rahman	rahman	PROPN
ejpam-3410	337	7	,	,	PUNCT
ejpam-3410	337	8	b.	b.	PROPN
ejpam-3410	337	9	al	al	PROPN
ejpam-3410	337	10	-	-	PUNCT
ejpam-3410	337	11	zahrani	zahrani	PROPN
ejpam-3410	337	12	,	,	PUNCT
ejpam-3410	337	13	and	and	CCONJ
ejpam-3410	337	14	m.	m.	PROPN
ejpam-3410	337	15	q.	q.	PROPN
ejpam-3410	337	16	shahbaz	shahbaz	PROPN
ejpam-3410	337	17	.	.	PUNCT
ejpam-3410	338	1	new	new	ADJ
ejpam-3410	338	2	general	general	ADJ
ejpam-3410	338	3	transmuted	transmuted	ADJ
ejpam-3410	338	4	family	family	NOUN
ejpam-3410	338	5	of	of	ADP
ejpam-3410	338	6	distributions	distribution	NOUN
ejpam-3410	338	7	with	with	ADP
ejpam-3410	338	8	applications	application	NOUN
ejpam-3410	338	9	.	.	PUNCT
ejpam-3410	339	1	pak	pak	PROPN
ejpam-3410	339	2	j	j	PROPN
ejpam-3410	339	3	stat	stat	PROPN
ejpam-3410	339	4	oper	oper	PROPN
ejpam-3410	339	5	res	re	NOUN
ejpam-3410	339	6	,	,	PUNCT
ejpam-3410	339	7	14(4):807–829	14(4):807–829	NUM
ejpam-3410	339	8	,	,	PUNCT
ejpam-3410	339	9	2018	2018	NUM
ejpam-3410	339	10	.	.	PUNCT
ejpam-3410	340	1	[	[	X
ejpam-3410	340	2	15	15	NUM
ejpam-3410	340	3	]	]	X
ejpam-3410	340	4	c.	c.	PROPN
ejpam-3410	340	5	e.	e.	PROPN
ejpam-3410	340	6	shannon	shannon	PROPN
ejpam-3410	340	7	.	.	PUNCT
ejpam-3410	341	1	a	a	DET
ejpam-3410	341	2	mathematical	mathematical	ADJ
ejpam-3410	341	3	theory	theory	NOUN
ejpam-3410	341	4	of	of	ADP
ejpam-3410	341	5	communication	communication	NOUN
ejpam-3410	341	6	.	.	PUNCT
ejpam-3410	342	1	the	the	DET
ejpam-3410	342	2	bell	bell	PROPN
ejpam-3410	342	3	system	system	PROPN
ejpam-3410	342	4	technical	technical	ADJ
ejpam-3410	342	5	journal	journal	NOUN
ejpam-3410	342	6	,	,	PUNCT
ejpam-3410	342	7	27:379–423	27:379–423	NUM
ejpam-3410	342	8	,	,	PUNCT
ejpam-3410	342	9	1948	1948	NUM
ejpam-3410	342	10	.	.	PUNCT
ejpam-3410	343	1	[	[	X
ejpam-3410	343	2	16	16	NUM
ejpam-3410	343	3	]	]	X
ejpam-3410	343	4	w.	w.	PROPN
ejpam-3410	343	5	t.	t.	PROPN
ejpam-3410	343	6	shaw	shaw	PROPN
ejpam-3410	343	7	and	and	CCONJ
ejpam-3410	343	8	i.	i.	PROPN
ejpam-3410	343	9	r.	r.	PROPN
ejpam-3410	343	10	c.	c.	PROPN
ejpam-3410	343	11	buckley	buckley	PROPN
ejpam-3410	343	12	.	.	PUNCT
ejpam-3410	344	1	the	the	DET
ejpam-3410	344	2	alchemy	alchemy	NOUN
ejpam-3410	344	3	of	of	ADP
ejpam-3410	344	4	probability	probability	NOUN
ejpam-3410	344	5	distributions	distribution	NOUN
ejpam-3410	344	6	:	:	PUNCT
ejpam-3410	344	7	beyond	beyond	ADP
ejpam-3410	344	8	gram	gram	NOUN
ejpam-3410	344	9	-	-	PUNCT
ejpam-3410	344	10	charlier	charlier	NOUN
ejpam-3410	344	11	expansions	expansion	NOUN
ejpam-3410	344	12	,	,	PUNCT
ejpam-3410	344	13	and	and	CCONJ
ejpam-3410	344	14	a	a	DET
ejpam-3410	344	15	skew	skew	ADJ
ejpam-3410	344	16	-	-	PUNCT
ejpam-3410	344	17	kurtotic	kurtotic	ADJ
ejpam-3410	344	18	-	-	PUNCT
ejpam-3410	344	19	normal	normal	ADJ
ejpam-3410	344	20	distribution	distribution	NOUN
ejpam-3410	344	21	from	from	ADP
ejpam-3410	344	22	a	a	DET
ejpam-3410	344	23	rank	rank	NOUN
ejpam-3410	344	24	transmutation	transmutation	NOUN
ejpam-3410	344	25	map	map	NOUN
ejpam-3410	344	26	,	,	PUNCT
ejpam-3410	344	27	2007	2007	NUM
ejpam-3410	344	28	.	.	PUNCT
ejpam-3410	345	1	research	research	NOUN
ejpam-3410	345	2	report	report	NOUN
ejpam-3410	345	3	.	.	PUNCT