id	sid	tid	token	lemma	pos
ejpam-5069	1	1	european	european	PROPN
ejpam-5069	1	2	journal	journal	PROPN
ejpam-5069	1	3	of	of	ADP
ejpam-5069	1	4	pure	pure	ADJ
ejpam-5069	1	5	and	and	CCONJ
ejpam-5069	1	6	applied	apply	VERB
ejpam-5069	1	7	mathematics	mathematic	NOUN
ejpam-5069	1	8	vol	vol	NOUN
ejpam-5069	1	9	.	.	PROPN
ejpam-5069	2	1	17	17	NUM
ejpam-5069	2	2	,	,	PUNCT
ejpam-5069	2	3	no	no	INTJ
ejpam-5069	2	4	.	.	NOUN
ejpam-5069	2	5	2	2	NUM
ejpam-5069	2	6	,	,	PUNCT
ejpam-5069	2	7	2024	2024	NUM
ejpam-5069	2	8	,	,	PUNCT
ejpam-5069	2	9	616	616	NUM
ejpam-5069	2	10	-	-	SYM
ejpam-5069	2	11	637	637	NUM
ejpam-5069	2	12	issn	issn	PROPN
ejpam-5069	2	13	1307	1307	NUM
ejpam-5069	2	14	-	-	SYM
ejpam-5069	2	15	5543	5543	NUM
ejpam-5069	2	16	–	–	PUNCT
ejpam-5069	3	1	ejpam.com	ejpam.com	X
ejpam-5069	3	2	published	publish	VERB
ejpam-5069	3	3	by	by	ADP
ejpam-5069	3	4	new	new	PROPN
ejpam-5069	3	5	york	york	PROPN
ejpam-5069	3	6	business	business	PROPN
ejpam-5069	3	7	global	global	ADJ
ejpam-5069	3	8	second	second	ADJ
ejpam-5069	3	9	order	order	NOUN
ejpam-5069	3	10	transmuted	transmute	VERB
ejpam-5069	3	11	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	3	12	distribution	distribution	NOUN
ejpam-5069	3	13	and	and	CCONJ
ejpam-5069	3	14	its	its	PRON
ejpam-5069	3	15	related	related	ADJ
ejpam-5069	3	16	results	result	NOUN
ejpam-5069	3	17	tusharuzzaman	tusharuzzaman	NOUN
ejpam-5069	3	18	tushar1,∗	tushar1,∗	NOUN
ejpam-5069	3	19	,	,	PUNCT
ejpam-5069	3	20	khudhayr	khudhayr	PROPN
ejpam-5069	3	21	a.	a.	NOUN
ejpam-5069	3	22	rashedi2	rashedi2	PROPN
ejpam-5069	3	23	,	,	PUNCT
ejpam-5069	3	24	tariq	tariq	PROPN
ejpam-5069	3	25	s.	s.	PROPN
ejpam-5069	3	26	alshammari2	alshammari2	PROPN
ejpam-5069	3	27	,	,	PUNCT
ejpam-5069	3	28	mahabubur	mahabubur	PROPN
ejpam-5069	3	29	rahman1	rahman1	NOUN
ejpam-5069	4	1	1	1	NUM
ejpam-5069	4	2	department	department	NOUN
ejpam-5069	4	3	of	of	ADP
ejpam-5069	4	4	statistics	statistic	NOUN
ejpam-5069	4	5	,	,	PUNCT
ejpam-5069	4	6	islamic	islamic	PROPN
ejpam-5069	4	7	university	university	PROPN
ejpam-5069	4	8	,	,	PUNCT
ejpam-5069	4	9	kushtia	kushtia	PROPN
ejpam-5069	4	10	7003	7003	NUM
ejpam-5069	4	11	,	,	PUNCT
ejpam-5069	4	12	bangladesh	bangladesh	NOUN
ejpam-5069	4	13	2	2	NUM
ejpam-5069	4	14	department	department	NOUN
ejpam-5069	4	15	of	of	ADP
ejpam-5069	4	16	mathematics	mathematic	NOUN
ejpam-5069	4	17	,	,	PUNCT
ejpam-5069	4	18	college	college	NOUN
ejpam-5069	4	19	of	of	ADP
ejpam-5069	4	20	science	science	NOUN
ejpam-5069	4	21	,	,	PUNCT
ejpam-5069	4	22	university	university	NOUN
ejpam-5069	4	23	of	of	ADP
ejpam-5069	4	24	ha’il	ha’il	PROPN
ejpam-5069	4	25	,	,	PUNCT
ejpam-5069	4	26	hail	hail	NOUN
ejpam-5069	4	27	,	,	PUNCT
ejpam-5069	4	28	saudi	saudi	PROPN
ejpam-5069	4	29	arabia	arabia	PROPN
ejpam-5069	4	30	abstract	abstract	NOUN
ejpam-5069	4	31	.	.	PUNCT
ejpam-5069	5	1	the	the	DET
ejpam-5069	5	2	expansion	expansion	NOUN
ejpam-5069	5	3	of	of	ADP
ejpam-5069	5	4	the	the	DET
ejpam-5069	5	5	application	application	NOUN
ejpam-5069	5	6	domains	domain	NOUN
ejpam-5069	5	7	is	be	AUX
ejpam-5069	5	8	greatly	greatly	ADV
ejpam-5069	5	9	aided	aid	VERB
ejpam-5069	5	10	by	by	ADP
ejpam-5069	5	11	the	the	DET
ejpam-5069	5	12	generalization	generalization	NOUN
ejpam-5069	5	13	of	of	ADP
ejpam-5069	5	14	distributions	distribution	NOUN
ejpam-5069	5	15	.	.	PUNCT
ejpam-5069	6	1	to	to	PART
ejpam-5069	6	2	achieve	achieve	VERB
ejpam-5069	6	3	this	this	PRON
ejpam-5069	6	4	,	,	PUNCT
ejpam-5069	6	5	an	an	DET
ejpam-5069	6	6	extension	extension	NOUN
ejpam-5069	6	7	of	of	ADP
ejpam-5069	6	8	the	the	DET
ejpam-5069	6	9	two	two	NUM
ejpam-5069	6	10	–	–	PUNCT
ejpam-5069	6	11	parameter	parameter	NOUN
ejpam-5069	6	12	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	6	13	distribution	distribution	NOUN
ejpam-5069	6	14	to	to	ADP
ejpam-5069	6	15	a	a	DET
ejpam-5069	6	16	three	three	NUM
ejpam-5069	6	17	–	–	PUNCT
ejpam-5069	6	18	parameter	parameter	NOUN
ejpam-5069	6	19	second	second	ADJ
ejpam-5069	6	20	order	order	NOUN
ejpam-5069	6	21	transmuted	transmute	VERB
ejpam-5069	6	22	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	6	23	distribution	distribution	NOUN
ejpam-5069	6	24	has	have	AUX
ejpam-5069	6	25	been	be	AUX
ejpam-5069	6	26	presented	present	VERB
ejpam-5069	6	27	in	in	ADP
ejpam-5069	6	28	this	this	DET
ejpam-5069	6	29	study	study	NOUN
ejpam-5069	6	30	utilizing	utilize	VERB
ejpam-5069	6	31	the	the	DET
ejpam-5069	6	32	cubic	cubic	ADJ
ejpam-5069	6	33	transmutation	transmutation	NOUN
ejpam-5069	6	34	map	map	NOUN
ejpam-5069	6	35	.	.	PUNCT
ejpam-5069	7	1	along	along	ADP
ejpam-5069	7	2	with	with	ADP
ejpam-5069	7	3	the	the	DET
ejpam-5069	7	4	order	order	NOUN
ejpam-5069	7	5	statistics	statistic	NOUN
ejpam-5069	7	6	and	and	CCONJ
ejpam-5069	7	7	parameter	parameter	NOUN
ejpam-5069	7	8	estimates	estimate	NOUN
ejpam-5069	7	9	,	,	PUNCT
ejpam-5069	7	10	a	a	DET
ejpam-5069	7	11	number	number	NOUN
ejpam-5069	7	12	of	of	ADP
ejpam-5069	7	13	statistical	statistical	ADJ
ejpam-5069	7	14	characteristics	characteristic	NOUN
ejpam-5069	7	15	are	be	AUX
ejpam-5069	7	16	shown	show	VERB
ejpam-5069	7	17	.	.	PUNCT
ejpam-5069	8	1	the	the	DET
ejpam-5069	8	2	performance	performance	NOUN
ejpam-5069	8	3	of	of	ADP
ejpam-5069	8	4	the	the	DET
ejpam-5069	8	5	estimated	estimate	VERB
ejpam-5069	8	6	parameters	parameter	NOUN
ejpam-5069	8	7	has	have	AUX
ejpam-5069	8	8	been	be	AUX
ejpam-5069	8	9	demonstrated	demonstrate	VERB
ejpam-5069	8	10	through	through	ADP
ejpam-5069	8	11	simulation	simulation	NOUN
ejpam-5069	8	12	study	study	NOUN
ejpam-5069	8	13	.	.	PUNCT
ejpam-5069	9	1	a	a	DET
ejpam-5069	9	2	few	few	ADJ
ejpam-5069	9	3	applications	application	NOUN
ejpam-5069	9	4	additionally	additionally	ADV
ejpam-5069	9	5	serve	serve	VERB
ejpam-5069	9	6	to	to	PART
ejpam-5069	9	7	demonstrate	demonstrate	VERB
ejpam-5069	9	8	the	the	DET
ejpam-5069	9	9	suggested	suggest	VERB
ejpam-5069	9	10	distribution	distribution	NOUN
ejpam-5069	9	11	’s	’s	PART
ejpam-5069	9	12	dominating	dominating	NOUN
ejpam-5069	9	13	applicability	applicability	NOUN
ejpam-5069	9	14	.	.	PUNCT
ejpam-5069	10	1	2020	2020	NUM
ejpam-5069	10	2	mathematics	mathematics	PROPN
ejpam-5069	10	3	subject	subject	NOUN
ejpam-5069	10	4	classifications	classification	NOUN
ejpam-5069	10	5	:	:	PUNCT
ejpam-5069	10	6	60e05	60e05	NUM
ejpam-5069	10	7	,	,	PUNCT
ejpam-5069	10	8	62e15	62e15	NUM
ejpam-5069	10	9	,	,	PUNCT
ejpam-5069	10	10	62g30	62g30	NUM
ejpam-5069	10	11	,	,	PUNCT
ejpam-5069	10	12	62f10	62f10	NUM
ejpam-5069	10	13	,	,	PUNCT
ejpam-5069	10	14	62h99	62h99	NUM
ejpam-5069	10	15	key	key	ADJ
ejpam-5069	10	16	words	word	NOUN
ejpam-5069	10	17	and	and	CCONJ
ejpam-5069	10	18	phrases	phrase	NOUN
ejpam-5069	10	19	:	:	PUNCT
ejpam-5069	10	20	cubic	cubic	ADJ
ejpam-5069	10	21	transmutation	transmutation	NOUN
ejpam-5069	10	22	,	,	PUNCT
ejpam-5069	10	23	probability	probability	NOUN
ejpam-5069	10	24	distribution	distribution	NOUN
ejpam-5069	10	25	,	,	PUNCT
ejpam-5069	10	26	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	10	27	distribution	distribution	NOUN
ejpam-5069	10	28	,	,	PUNCT
ejpam-5069	10	29	order	order	NOUN
ejpam-5069	10	30	statistics	statistic	NOUN
ejpam-5069	10	31	,	,	PUNCT
ejpam-5069	10	32	maximum	maximum	ADJ
ejpam-5069	10	33	likelihood	likelihood	NOUN
ejpam-5069	10	34	estimation	estimation	NOUN
ejpam-5069	10	35	1	1	NUM
ejpam-5069	10	36	.	.	PUNCT
ejpam-5069	10	37	introduction	introduction	NOUN
ejpam-5069	10	38	several	several	ADJ
ejpam-5069	10	39	distributions	distribution	NOUN
ejpam-5069	10	40	as	as	ADP
ejpam-5069	10	41	a	a	DET
ejpam-5069	10	42	tool	tool	NOUN
ejpam-5069	10	43	for	for	ADP
ejpam-5069	10	44	data	datum	NOUN
ejpam-5069	10	45	modeling	modeling	NOUN
ejpam-5069	10	46	have	have	AUX
ejpam-5069	10	47	already	already	ADV
ejpam-5069	10	48	been	be	AUX
ejpam-5069	10	49	introduced	introduce	VERB
ejpam-5069	10	50	by	by	ADP
ejpam-5069	10	51	many	many	ADJ
ejpam-5069	10	52	researchers	researcher	NOUN
ejpam-5069	10	53	.	.	PUNCT
ejpam-5069	11	1	in	in	ADP
ejpam-5069	11	2	other	other	ADJ
ejpam-5069	11	3	circumstances	circumstance	NOUN
ejpam-5069	11	4	,	,	PUNCT
ejpam-5069	11	5	these	these	DET
ejpam-5069	11	6	tools	tool	NOUN
ejpam-5069	11	7	are	be	AUX
ejpam-5069	11	8	less	less	ADV
ejpam-5069	11	9	well	well	ADJ
ejpam-5069	11	10	with	with	ADP
ejpam-5069	11	11	complicated	complicated	ADJ
ejpam-5069	11	12	realworld	realworld	PROPN
ejpam-5069	11	13	data	data	PROPN
ejpam-5069	11	14	.	.	PUNCT
ejpam-5069	12	1	generalization	generalization	NOUN
ejpam-5069	12	2	can	can	AUX
ejpam-5069	12	3	be	be	AUX
ejpam-5069	12	4	an	an	DET
ejpam-5069	12	5	existing	exist	VERB
ejpam-5069	12	6	process	process	NOUN
ejpam-5069	12	7	to	to	PART
ejpam-5069	12	8	boost	boost	VERB
ejpam-5069	12	9	the	the	DET
ejpam-5069	12	10	potency	potency	NOUN
ejpam-5069	12	11	of	of	ADP
ejpam-5069	12	12	these	these	DET
ejpam-5069	12	13	tools	tool	NOUN
ejpam-5069	12	14	.	.	PUNCT
ejpam-5069	13	1	according	accord	VERB
ejpam-5069	13	2	to	to	ADP
ejpam-5069	13	3	this	this	DET
ejpam-5069	13	4	idea	idea	NOUN
ejpam-5069	13	5	,	,	PUNCT
ejpam-5069	13	6	many	many	ADJ
ejpam-5069	13	7	researchers	researcher	NOUN
ejpam-5069	13	8	significantly	significantly	ADV
ejpam-5069	13	9	contribute	contribute	VERB
ejpam-5069	13	10	to	to	ADP
ejpam-5069	13	11	the	the	DET
ejpam-5069	13	12	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	13	13	(	(	PUNCT
ejpam-5069	13	14	kw	kw	NOUN
ejpam-5069	13	15	)	)	PUNCT
ejpam-5069	13	16	distribution	distribution	NOUN
ejpam-5069	13	17	(	(	PUNCT
ejpam-5069	13	18	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	13	19	[	[	X
ejpam-5069	13	20	16	16	NUM
ejpam-5069	13	21	]	]	PUNCT
ejpam-5069	13	22	)	)	PUNCT
ejpam-5069	13	23	to	to	PART
ejpam-5069	13	24	extend	extend	VERB
ejpam-5069	13	25	the	the	DET
ejpam-5069	13	26	flexibility	flexibility	NOUN
ejpam-5069	13	27	of	of	ADP
ejpam-5069	13	28	this	this	DET
ejpam-5069	13	29	distribution	distribution	NOUN
ejpam-5069	13	30	,	,	PUNCT
ejpam-5069	13	31	which	which	PRON
ejpam-5069	13	32	has	have	VERB
ejpam-5069	13	33	the	the	DET
ejpam-5069	13	34	following	follow	VERB
ejpam-5069	13	35	pdf	pdf	NOUN
ejpam-5069	13	36	g	g	NOUN
ejpam-5069	13	37	(	(	PUNCT
ejpam-5069	13	38	x	x	NOUN
ejpam-5069	13	39	;	;	PUNCT
ejpam-5069	13	40	a	a	DET
ejpam-5069	13	41	,	,	PUNCT
ejpam-5069	13	42	b	b	NOUN
ejpam-5069	13	43	)	)	PUNCT
ejpam-5069	13	44	=	=	SYM
ejpam-5069	13	45	abxa−1	abxa−1	NOUN
ejpam-5069	13	46	(	(	PUNCT
ejpam-5069	13	47	1−	1−	NUM
ejpam-5069	13	48	xa)b−1	xa)b−1	NOUN
ejpam-5069	13	49	,	,	PUNCT
ejpam-5069	13	50	x	x	PUNCT
ejpam-5069	13	51	∈	∈	PROPN
ejpam-5069	13	52	(	(	PUNCT
ejpam-5069	13	53	0	0	NUM
ejpam-5069	13	54	,	,	PUNCT
ejpam-5069	13	55	1	1	NUM
ejpam-5069	13	56	)	)	PUNCT
ejpam-5069	13	57	,	,	PUNCT
ejpam-5069	13	58	(	(	PUNCT
ejpam-5069	13	59	1	1	X
ejpam-5069	13	60	)	)	PUNCT
ejpam-5069	13	61	where	where	SCONJ
ejpam-5069	13	62	a	a	PRON
ejpam-5069	13	63	,	,	PUNCT
ejpam-5069	13	64	b	b	X
ejpam-5069	13	65	∈	∈	PROPN
ejpam-5069	13	66	r+	r+	NOUN
ejpam-5069	13	67	are	be	AUX
ejpam-5069	13	68	the	the	DET
ejpam-5069	13	69	two	two	NUM
ejpam-5069	13	70	shape	shape	NOUN
ejpam-5069	13	71	parameters	parameter	NOUN
ejpam-5069	13	72	.	.	PUNCT
ejpam-5069	14	1	this	this	DET
ejpam-5069	14	2	distribution	distribution	NOUN
ejpam-5069	14	3	is	be	AUX
ejpam-5069	14	4	the	the	DET
ejpam-5069	14	5	most	most	ADV
ejpam-5069	14	6	widely	widely	ADV
ejpam-5069	14	7	applied	apply	VERB
ejpam-5069	14	8	statistical	statistical	ADJ
ejpam-5069	14	9	distribution	distribution	NOUN
ejpam-5069	14	10	in	in	ADP
ejpam-5069	14	11	hydrological	hydrological	ADJ
ejpam-5069	14	12	problems	problem	NOUN
ejpam-5069	14	13	and	and	CCONJ
ejpam-5069	14	14	it	it	PRON
ejpam-5069	14	15	is	be	AUX
ejpam-5069	14	16	similar	similar	ADJ
ejpam-5069	14	17	to	to	ADP
ejpam-5069	14	18	beta	beta	ADJ
ejpam-5069	14	19	distribution	distribution	NOUN
ejpam-5069	14	20	.	.	PUNCT
ejpam-5069	15	1	∗corresponding	∗corresponde	VERB
ejpam-5069	15	2	author	author	NOUN
ejpam-5069	15	3	.	.	PUNCT
ejpam-5069	16	1	doi	doi	NOUN
ejpam-5069	16	2	:	:	PUNCT
ejpam-5069	16	3	https://doi.org/10.29020/nybg.ejpam.v17i2.5069	https://doi.org/10.29020/nybg.ejpam.v17i2.5069	ADJ
ejpam-5069	16	4	email	email	NOUN
ejpam-5069	16	5	addresses	address	VERB
ejpam-5069	16	6	:	:	PUNCT
ejpam-5069	17	1	tusherkgc@gmail.com	tusherkgc@gmail.com	X
ejpam-5069	17	2	(	(	PUNCT
ejpam-5069	17	3	m.	m.	NOUN
ejpam-5069	17	4	t.	t.	PROPN
ejpam-5069	17	5	tushar	tushar	PROPN
ejpam-5069	17	6	)	)	PUNCT
ejpam-5069	17	7	,	,	PUNCT
ejpam-5069	17	8	k.rashedi@uoh.edu.sa	k.rashedi@uoh.edu.sa	PROPN
ejpam-5069	17	9	(	(	PUNCT
ejpam-5069	17	10	k.	k.	PROPN
ejpam-5069	17	11	a.	a.	PROPN
ejpam-5069	17	12	rashedi	rashedi	PROPN
ejpam-5069	17	13	)	)	PUNCT
ejpam-5069	17	14	,	,	PUNCT
ejpam-5069	17	15	tas.alshammari@uoh.edu.sa	tas.alshammari@uoh.edu.sa	PROPN
ejpam-5069	17	16	(	(	PUNCT
ejpam-5069	17	17	t.	t.	PROPN
ejpam-5069	17	18	s.	s.	PROPN
ejpam-5069	17	19	alshammari	alshammari	PROPN
ejpam-5069	17	20	)	)	PUNCT
ejpam-5069	17	21	,	,	PUNCT
ejpam-5069	17	22	mmriu.stat@gmail.com	mmriu.stat@gmail.com	NOUN
ejpam-5069	17	23	(	(	PUNCT
ejpam-5069	17	24	m.	m.	NOUN
ejpam-5069	17	25	m.	m.	PROPN
ejpam-5069	17	26	rahman	rahman	PROPN
ejpam-5069	17	27	)	)	PUNCT
ejpam-5069	17	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5069	18	1	616	616	NUM
ejpam-5069	18	2	©	©	ADP
ejpam-5069	18	3	2024	2024	NUM
ejpam-5069	18	4	ejpam	ejpam	NOUN
ejpam-5069	18	5	all	all	DET
ejpam-5069	18	6	rights	right	NOUN
ejpam-5069	18	7	reserved	reserve	VERB
ejpam-5069	18	8	.	.	PUNCT
ejpam-5069	19	1	t.	t.	PROPN
ejpam-5069	19	2	tushar	tushar	PROPN
ejpam-5069	19	3	et	et	PROPN
ejpam-5069	19	4	al	al	PROPN
ejpam-5069	19	5	.	.	PUNCT
ejpam-5069	19	6	/	/	SYM
ejpam-5069	19	7	eur	eur	PROPN
ejpam-5069	19	8	.	.	PUNCT
ejpam-5069	20	1	j.	j.	PROPN
ejpam-5069	20	2	pure	pure	PROPN
ejpam-5069	20	3	appl	appl	PROPN
ejpam-5069	20	4	.	.	PROPN
ejpam-5069	20	5	math	math	PROPN
ejpam-5069	20	6	,	,	PUNCT
ejpam-5069	20	7	17	17	NUM
ejpam-5069	20	8	(	(	PUNCT
ejpam-5069	20	9	2	2	NUM
ejpam-5069	20	10	)	)	PUNCT
ejpam-5069	20	11	(	(	PUNCT
ejpam-5069	20	12	2024	2024	NUM
ejpam-5069	20	13	)	)	PUNCT
ejpam-5069	20	14	,	,	PUNCT
ejpam-5069	20	15	616	616	NUM
ejpam-5069	20	16	-	-	SYM
ejpam-5069	20	17	637	637	NUM
ejpam-5069	20	18	617	617	NUM
ejpam-5069	20	19	jones	jones	NOUN
ejpam-5069	21	1	[	[	X
ejpam-5069	21	2	17	17	NUM
ejpam-5069	21	3	]	]	PUNCT
ejpam-5069	21	4	introduced	introduce	VERB
ejpam-5069	21	5	the	the	DET
ejpam-5069	21	6	two	two	NUM
ejpam-5069	21	7	-	-	PUNCT
ejpam-5069	21	8	parameter	parameter	NOUN
ejpam-5069	21	9	family	family	NOUN
ejpam-5069	21	10	of	of	ADP
ejpam-5069	21	11	distributions	distribution	NOUN
ejpam-5069	21	12	,	,	PUNCT
ejpam-5069	21	13	which	which	PRON
ejpam-5069	21	14	share	share	VERB
ejpam-5069	21	15	many	many	ADJ
ejpam-5069	21	16	features	feature	NOUN
ejpam-5069	21	17	with	with	ADP
ejpam-5069	21	18	the	the	DET
ejpam-5069	21	19	beta	beta	ADJ
ejpam-5069	21	20	distribution	distribution	NOUN
ejpam-5069	21	21	and	and	CCONJ
ejpam-5069	21	22	have	have	VERB
ejpam-5069	21	23	both	both	DET
ejpam-5069	21	24	benefits	benefit	NOUN
ejpam-5069	21	25	and	and	CCONJ
ejpam-5069	21	26	drawbacks	drawback	NOUN
ejpam-5069	21	27	in	in	ADP
ejpam-5069	21	28	terms	term	NOUN
ejpam-5069	21	29	of	of	ADP
ejpam-5069	21	30	tractability	tractability	NOUN
ejpam-5069	21	31	.	.	PUNCT
ejpam-5069	22	1	due	due	ADP
ejpam-5069	22	2	to	to	ADP
ejpam-5069	22	3	its	its	PRON
ejpam-5069	22	4	tractability	tractability	NOUN
ejpam-5069	22	5	,	,	PUNCT
ejpam-5069	22	6	the	the	DET
ejpam-5069	22	7	distribution	distribution	NOUN
ejpam-5069	22	8	may	may	AUX
ejpam-5069	22	9	consequently	consequently	ADV
ejpam-5069	22	10	play	play	VERB
ejpam-5069	22	11	a	a	DET
ejpam-5069	22	12	special	special	ADJ
ejpam-5069	22	13	role	role	NOUN
ejpam-5069	22	14	in	in	ADP
ejpam-5069	22	15	statistical	statistical	ADJ
ejpam-5069	22	16	modeling	modeling	NOUN
ejpam-5069	22	17	that	that	PRON
ejpam-5069	22	18	adopts	adopt	VERB
ejpam-5069	22	19	a	a	DET
ejpam-5069	22	20	quantile	quantile	NOUN
ejpam-5069	22	21	-	-	PUNCT
ejpam-5069	22	22	based	base	VERB
ejpam-5069	22	23	method	method	NOUN
ejpam-5069	22	24	.	.	PUNCT
ejpam-5069	23	1	a	a	DET
ejpam-5069	23	2	generalization	generalization	NOUN
ejpam-5069	23	3	of	of	ADP
ejpam-5069	23	4	the	the	DET
ejpam-5069	23	5	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	23	6	distribution	distribution	NOUN
ejpam-5069	23	7	(	(	PUNCT
ejpam-5069	23	8	kw	kw	NOUN
ejpam-5069	23	9	-	-	PUNCT
ejpam-5069	23	10	g	g	NOUN
ejpam-5069	23	11	)	)	PUNCT
ejpam-5069	23	12	was	be	AUX
ejpam-5069	23	13	first	first	ADV
ejpam-5069	23	14	proposed	propose	VERB
ejpam-5069	23	15	by	by	ADP
ejpam-5069	23	16	cordeiro	cordeiro	PROPN
ejpam-5069	23	17	and	and	CCONJ
ejpam-5069	23	18	de	de	X
ejpam-5069	23	19	castro	castro	PROPN
ejpam-5069	23	20	[	[	X
ejpam-5069	23	21	5	5	NUM
ejpam-5069	23	22	]	]	PUNCT
ejpam-5069	23	23	.	.	PUNCT
ejpam-5069	24	1	with	with	ADP
ejpam-5069	24	2	the	the	DET
ejpam-5069	24	3	different	different	ADJ
ejpam-5069	24	4	choices	choice	NOUN
ejpam-5069	24	5	of	of	ADP
ejpam-5069	24	6	g	g	NOUN
ejpam-5069	24	7	,	,	PUNCT
ejpam-5069	24	8	some	some	DET
ejpam-5069	24	9	researchers	researcher	NOUN
ejpam-5069	24	10	developed	develop	VERB
ejpam-5069	24	11	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	24	12	-	-	PUNCT
ejpam-5069	24	13	weibull	weibull	NOUN
ejpam-5069	24	14	,	,	PUNCT
ejpam-5069	24	15	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	24	16	-	-	PUNCT
ejpam-5069	24	17	gumbel	gumbel	NOUN
ejpam-5069	24	18	,	,	PUNCT
ejpam-5069	24	19	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	24	20	-	-	PUNCT
ejpam-5069	24	21	generalized	generalize	VERB
ejpam-5069	24	22	gamma	gamma	NOUN
ejpam-5069	24	23	,	,	PUNCT
ejpam-5069	24	24	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	24	25	-	-	PUNCT
ejpam-5069	24	26	half	half	NOUN
ejpam-5069	24	27	cauchy	cauchy	NOUN
ejpam-5069	24	28	distributions	distribution	NOUN
ejpam-5069	24	29	,	,	PUNCT
ejpam-5069	24	30	(	(	PUNCT
ejpam-5069	24	31	cordeiro	cordeiro	PROPN
ejpam-5069	24	32	et	et	PROPN
ejpam-5069	24	33	al	al	PROPN
ejpam-5069	24	34	.	.	PUNCT
ejpam-5069	25	1	[	[	X
ejpam-5069	25	2	7	7	NUM
ejpam-5069	25	3	]	]	PUNCT
ejpam-5069	25	4	,	,	PUNCT
ejpam-5069	25	5	[	[	X
ejpam-5069	25	6	6	6	NUM
ejpam-5069	25	7	]	]	PUNCT
ejpam-5069	25	8	,	,	PUNCT
ejpam-5069	25	9	de	de	X
ejpam-5069	25	10	pascoa	pascoa	PROPN
ejpam-5069	25	11	et	et	PROPN
ejpam-5069	25	12	al	al	PROPN
ejpam-5069	25	13	.	.	PUNCT
ejpam-5069	26	1	[	[	X
ejpam-5069	26	2	9	9	NUM
ejpam-5069	26	3	]	]	PUNCT
ejpam-5069	26	4	,	,	PUNCT
ejpam-5069	26	5	and	and	CCONJ
ejpam-5069	26	6	ghosh	ghosh	PROPN
ejpam-5069	26	7	[	[	X
ejpam-5069	26	8	12	12	NUM
ejpam-5069	26	9	]	]	PUNCT
ejpam-5069	26	10	)	)	PUNCT
ejpam-5069	26	11	and	and	CCONJ
ejpam-5069	26	12	so	so	ADV
ejpam-5069	26	13	on	on	ADV
ejpam-5069	26	14	.	.	PUNCT
ejpam-5069	27	1	wang	wang	PROPN
ejpam-5069	27	2	et	et	PROPN
ejpam-5069	27	3	al	al	PROPN
ejpam-5069	27	4	.	.	PUNCT
ejpam-5069	28	1	[	[	X
ejpam-5069	28	2	23	23	NUM
ejpam-5069	28	3	]	]	PUNCT
ejpam-5069	28	4	described	describe	VERB
ejpam-5069	28	5	the	the	DET
ejpam-5069	28	6	inference	inference	NOUN
ejpam-5069	28	7	on	on	ADP
ejpam-5069	28	8	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	28	9	distribution	distribution	NOUN
ejpam-5069	28	10	.	.	PUNCT
ejpam-5069	29	1	wang	wang	PROPN
ejpam-5069	30	1	[	[	X
ejpam-5069	30	2	24	24	NUM
ejpam-5069	30	3	]	]	PUNCT
ejpam-5069	30	4	discussed	discuss	VERB
ejpam-5069	30	5	the	the	DET
ejpam-5069	30	6	statistical	statistical	ADJ
ejpam-5069	30	7	characteristics	characteristic	NOUN
ejpam-5069	30	8	,	,	PUNCT
ejpam-5069	30	9	modeling	modeling	NOUN
ejpam-5069	30	10	,	,	PUNCT
ejpam-5069	30	11	and	and	CCONJ
ejpam-5069	30	12	inference	inference	NOUN
ejpam-5069	30	13	of	of	ADP
ejpam-5069	30	14	increasingly	increasingly	ADV
ejpam-5069	30	15	censored	censored	ADJ
ejpam-5069	30	16	competing	compete	VERB
ejpam-5069	30	17	risks	risk	NOUN
ejpam-5069	30	18	on	on	ADP
ejpam-5069	30	19	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	30	20	distribution	distribution	NOUN
ejpam-5069	30	21	.	.	PUNCT
ejpam-5069	31	1	recently	recently	ADV
ejpam-5069	31	2	some	some	DET
ejpam-5069	31	3	researchers	researcher	NOUN
ejpam-5069	31	4	contribute	contribute	VERB
ejpam-5069	31	5	their	their	PRON
ejpam-5069	31	6	research	research	NOUN
ejpam-5069	31	7	work	work	NOUN
ejpam-5069	31	8	on	on	ADP
ejpam-5069	31	9	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	31	10	distribution	distribution	NOUN
ejpam-5069	31	11	including	include	VERB
ejpam-5069	31	12	a	a	DET
ejpam-5069	31	13	general	general	ADJ
ejpam-5069	31	14	modified	modify	VERB
ejpam-5069	31	15	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	31	16	distribution	distribution	NOUN
ejpam-5069	31	17	for	for	ADP
ejpam-5069	31	18	data	datum	NOUN
ejpam-5069	31	19	modeling	modeling	NOUN
ejpam-5069	31	20	(	(	PUNCT
ejpam-5069	31	21	alshkaki	alshkaki	ADV
ejpam-5069	31	22	[	[	X
ejpam-5069	31	23	2	2	NUM
ejpam-5069	31	24	]	]	NUM
ejpam-5069	31	25	)	)	PUNCT
ejpam-5069	31	26	,	,	PUNCT
ejpam-5069	31	27	marshall	marshall	PROPN
ejpam-5069	31	28	–	–	PUNCT
ejpam-5069	31	29	olkin	olkin	NOUN
ejpam-5069	31	30	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	31	31	exponential	exponential	ADJ
ejpam-5069	31	32	distribution	distribution	NOUN
ejpam-5069	31	33	(	(	PUNCT
ejpam-5069	31	34	almarashi	almarashi	PROPN
ejpam-5069	31	35	et	et	PROPN
ejpam-5069	31	36	al.[1	al.[1	PROPN
ejpam-5069	31	37	]	]	PUNCT
ejpam-5069	31	38	)	)	PUNCT
ejpam-5069	31	39	,	,	PUNCT
ejpam-5069	31	40	arsine	arsine	NOUN
ejpam-5069	31	41	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	31	42	–	–	PUNCT
ejpam-5069	31	43	generalized	generalized	ADJ
ejpam-5069	31	44	family	family	NOUN
ejpam-5069	31	45	(	(	PUNCT
ejpam-5069	31	46	emam	emam	PROPN
ejpam-5069	31	47	and	and	CCONJ
ejpam-5069	31	48	tashkandy	tashkandy	NOUN
ejpam-5069	31	49	[	[	X
ejpam-5069	31	50	10	10	NUM
ejpam-5069	31	51	]	]	NUM
ejpam-5069	31	52	)	)	PUNCT
ejpam-5069	31	53	,	,	PUNCT
ejpam-5069	31	54	inverse	inverse	NOUN
ejpam-5069	31	55	kumaraswamy	kumaraswamy	PROPN
ejpam-5069	31	56	family	family	NOUN
ejpam-5069	31	57	(	(	PUNCT
ejpam-5069	31	58	daghistani	daghistani	PROPN
ejpam-5069	31	59	[	[	X
ejpam-5069	31	60	8	8	NUM
ejpam-5069	31	61	]	]	SYM
ejpam-5069	31	62	)	)	PUNCT
ejpam-5069	31	63	etc	etc	X
ejpam-5069	31	64	.	.	X
ejpam-5069	32	1	the	the	DET
ejpam-5069	32	2	most	most	ADV
ejpam-5069	32	3	common	common	ADJ
ejpam-5069	32	4	first	first	ADJ
ejpam-5069	32	5	order	order	NOUN
ejpam-5069	32	6	transmuted	transmute	VERB
ejpam-5069	32	7	family	family	NOUN
ejpam-5069	32	8	of	of	ADP
ejpam-5069	32	9	distributions	distribution	NOUN
ejpam-5069	32	10	was	be	AUX
ejpam-5069	32	11	first	first	ADV
ejpam-5069	32	12	introduced	introduce	VERB
ejpam-5069	32	13	by	by	ADP
ejpam-5069	32	14	shaw	shaw	PROPN
ejpam-5069	32	15	and	and	CCONJ
ejpam-5069	32	16	buckley	buckley	PROPN
ejpam-5069	32	17	[	[	X
ejpam-5069	32	18	20	20	NUM
ejpam-5069	32	19	]	]	PUNCT
ejpam-5069	32	20	from	from	ADP
ejpam-5069	32	21	which	which	PRON
ejpam-5069	32	22	a	a	DET
ejpam-5069	32	23	number	number	NOUN
ejpam-5069	32	24	of	of	ADP
ejpam-5069	32	25	extended	extended	ADJ
ejpam-5069	32	26	distributions	distribution	NOUN
ejpam-5069	32	27	have	have	AUX
ejpam-5069	32	28	already	already	ADV
ejpam-5069	32	29	been	be	AUX
ejpam-5069	32	30	generated	generate	VERB
ejpam-5069	32	31	and	and	CCONJ
ejpam-5069	32	32	have	have	VERB
ejpam-5069	32	33	the	the	DET
ejpam-5069	32	34	following	follow	VERB
ejpam-5069	32	35	cdf	cdf	PROPN
ejpam-5069	32	36	f	f	PROPN
ejpam-5069	32	37	(	(	PUNCT
ejpam-5069	32	38	x	x	NOUN
ejpam-5069	32	39	)	)	PUNCT
ejpam-5069	32	40	=	=	SYM
ejpam-5069	32	41	(	(	PUNCT
ejpam-5069	32	42	1	1	NUM
ejpam-5069	32	43	+	+	CCONJ
ejpam-5069	32	44	λ)g	λ)g	X
ejpam-5069	32	45	(	(	PUNCT
ejpam-5069	32	46	x)−	x)−	PROPN
ejpam-5069	32	47	λg	λg	PROPN
ejpam-5069	32	48	(	(	PUNCT
ejpam-5069	32	49	x)2	x)2	PROPN
ejpam-5069	32	50	,	,	PUNCT
ejpam-5069	32	51	x	x	X
ejpam-5069	32	52	∈	∈	PROPN
ejpam-5069	32	53	r	r	NOUN
ejpam-5069	32	54	,	,	PUNCT
ejpam-5069	32	55	(	(	PUNCT
ejpam-5069	32	56	2	2	X
ejpam-5069	32	57	)	)	PUNCT
ejpam-5069	32	58	where	where	SCONJ
ejpam-5069	32	59	λ	λ	PROPN
ejpam-5069	32	60	∈	∈	PROPN
ejpam-5069	32	61	[	[	X
ejpam-5069	32	62	−1	−1	NOUN
ejpam-5069	32	63	,	,	PUNCT
ejpam-5069	32	64	1	1	NUM
ejpam-5069	32	65	]	]	PUNCT
ejpam-5069	32	66	is	be	AUX
ejpam-5069	32	67	the	the	DET
ejpam-5069	32	68	transmutation	transmutation	NOUN
ejpam-5069	32	69	parameter	parameter	NOUN
ejpam-5069	32	70	and	and	CCONJ
ejpam-5069	32	71	g(x	g(x	NOUN
ejpam-5069	32	72	)	)	PUNCT
ejpam-5069	32	73	is	be	AUX
ejpam-5069	32	74	the	the	DET
ejpam-5069	32	75	base	base	ADJ
ejpam-5069	32	76	distribution	distribution	NOUN
ejpam-5069	32	77	function	function	NOUN
ejpam-5069	32	78	of	of	ADP
ejpam-5069	32	79	any	any	DET
ejpam-5069	32	80	standard	standard	ADJ
ejpam-5069	32	81	probability	probability	NOUN
ejpam-5069	32	82	model	model	NOUN
ejpam-5069	32	83	.	.	PUNCT
ejpam-5069	33	1	transmuted	transmuted	ADJ
ejpam-5069	33	2	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	33	3	(	(	PUNCT
ejpam-5069	33	4	tkw	tkw	NOUN
ejpam-5069	33	5	)	)	PUNCT
ejpam-5069	33	6	distribution	distribution	NOUN
ejpam-5069	33	7	and	and	CCONJ
ejpam-5069	33	8	transmuted	transmuted	ADJ
ejpam-5069	33	9	inverted	inverted	ADJ
ejpam-5069	33	10	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	33	11	distribution	distribution	NOUN
ejpam-5069	33	12	are	be	AUX
ejpam-5069	33	13	the	the	DET
ejpam-5069	33	14	commonly	commonly	ADV
ejpam-5069	33	15	generated	generate	VERB
ejpam-5069	33	16	distributions	distribution	NOUN
ejpam-5069	33	17	from	from	ADP
ejpam-5069	33	18	this	this	DET
ejpam-5069	33	19	family	family	NOUN
ejpam-5069	33	20	of	of	ADP
ejpam-5069	33	21	distributions	distribution	NOUN
ejpam-5069	33	22	and	and	CCONJ
ejpam-5069	33	23	these	these	DET
ejpam-5069	33	24	generated	generate	VERB
ejpam-5069	33	25	distributions	distribution	NOUN
ejpam-5069	33	26	were	be	AUX
ejpam-5069	33	27	proposed	propose	VERB
ejpam-5069	33	28	by	by	ADP
ejpam-5069	33	29	khan	khan	PROPN
ejpam-5069	33	30	et	et	PROPN
ejpam-5069	33	31	al	al	PROPN
ejpam-5069	33	32	.	.	PUNCT
ejpam-5069	34	1	[	[	X
ejpam-5069	34	2	15	15	NUM
ejpam-5069	34	3	]	]	PUNCT
ejpam-5069	34	4	and	and	CCONJ
ejpam-5069	34	5	sherwania	sherwania	NOUN
ejpam-5069	34	6	et	et	PROPN
ejpam-5069	34	7	al	al	PROPN
ejpam-5069	34	8	.	.	PUNCT
ejpam-5069	35	1	[	[	X
ejpam-5069	35	2	21	21	NUM
ejpam-5069	35	3	]	]	PUNCT
ejpam-5069	35	4	.	.	PUNCT
ejpam-5069	36	1	saraçoğlu	saraçoğlu	NOUN
ejpam-5069	36	2	and	and	CCONJ
ejpam-5069	36	3	tanış	tanış	NOUN
ejpam-5069	37	1	[	[	X
ejpam-5069	37	2	19	19	NUM
ejpam-5069	37	3	]	]	PUNCT
ejpam-5069	37	4	proposed	propose	VERB
ejpam-5069	37	5	the	the	DET
ejpam-5069	37	6	cubic	cubic	ADJ
ejpam-5069	37	7	rank	rank	NOUN
ejpam-5069	37	8	transmuted	transmute	VERB
ejpam-5069	37	9	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	37	10	distribution	distribution	NOUN
ejpam-5069	37	11	using	use	VERB
ejpam-5069	37	12	the	the	DET
ejpam-5069	37	13	cubic	cubic	ADJ
ejpam-5069	37	14	rank	rank	NOUN
ejpam-5069	37	15	transmutation	transmutation	NOUN
ejpam-5069	37	16	map	map	NOUN
ejpam-5069	37	17	introduced	introduce	VERB
ejpam-5069	37	18	by	by	ADP
ejpam-5069	37	19	granzotto	granzotto	PROPN
ejpam-5069	37	20	et	et	PROPN
ejpam-5069	37	21	al	al	PROPN
ejpam-5069	37	22	.	.	PUNCT
ejpam-5069	38	1	[	[	X
ejpam-5069	38	2	14	14	NUM
ejpam-5069	38	3	]	]	PUNCT
ejpam-5069	38	4	by	by	ADP
ejpam-5069	38	5	extending	extend	VERB
ejpam-5069	38	6	the	the	DET
ejpam-5069	38	7	transmutation	transmutation	NOUN
ejpam-5069	38	8	map	map	NOUN
ejpam-5069	38	9	of	of	ADP
ejpam-5069	38	10	equation	equation	NOUN
ejpam-5069	38	11	(	(	PUNCT
ejpam-5069	38	12	2	2	NUM
ejpam-5069	38	13	)	)	PUNCT
ejpam-5069	38	14	.	.	PUNCT
ejpam-5069	39	1	after	after	ADP
ejpam-5069	39	2	that	that	PRON
ejpam-5069	39	3	,	,	PUNCT
ejpam-5069	39	4	rahman	rahman	PROPN
ejpam-5069	39	5	et	et	PROPN
ejpam-5069	39	6	al	al	PROPN
ejpam-5069	39	7	.	.	PUNCT
ejpam-5069	40	1	[	[	X
ejpam-5069	40	2	18	18	NUM
ejpam-5069	40	3	]	]	PUNCT
ejpam-5069	40	4	extended	extend	VERB
ejpam-5069	40	5	the	the	DET
ejpam-5069	40	6	first	first	ADJ
ejpam-5069	40	7	order	order	NOUN
ejpam-5069	40	8	transmutation	transmutation	NOUN
ejpam-5069	40	9	map	map	NOUN
ejpam-5069	40	10	(	(	PUNCT
ejpam-5069	40	11	see	see	VERB
ejpam-5069	40	12	equation	equation	NOUN
ejpam-5069	40	13	(	(	PUNCT
ejpam-5069	40	14	2	2	NUM
ejpam-5069	40	15	)	)	PUNCT
ejpam-5069	40	16	)	)	PUNCT
ejpam-5069	40	17	to	to	ADP
ejpam-5069	40	18	second	second	ADJ
ejpam-5069	40	19	order	order	NOUN
ejpam-5069	40	20	transmutation	transmutation	NOUN
ejpam-5069	40	21	map	map	NOUN
ejpam-5069	40	22	,	,	PUNCT
ejpam-5069	40	23	which	which	PRON
ejpam-5069	40	24	has	have	VERB
ejpam-5069	40	25	the	the	DET
ejpam-5069	40	26	following	follow	VERB
ejpam-5069	40	27	cdf	cdf	PROPN
ejpam-5069	40	28	f	f	PROPN
ejpam-5069	40	29	(	(	PUNCT
ejpam-5069	40	30	x	x	NOUN
ejpam-5069	40	31	)	)	PUNCT
ejpam-5069	40	32	=	=	SYM
ejpam-5069	40	33	(	(	PUNCT
ejpam-5069	40	34	1−	1−	NUM
ejpam-5069	40	35	λ)g	λ)g	X
ejpam-5069	40	36	(	(	PUNCT
ejpam-5069	40	37	x	x	X
ejpam-5069	40	38	)	)	PUNCT
ejpam-5069	41	1	+	+	X
ejpam-5069	41	2	3λg	3λg	ADJ
ejpam-5069	41	3	(	(	PUNCT
ejpam-5069	41	4	x)2	x)2	VERB
ejpam-5069	41	5	−	−	NUM
ejpam-5069	41	6	2λg	2λg	NOUN
ejpam-5069	41	7	(	(	PUNCT
ejpam-5069	41	8	x)3	x)3	PROPN
ejpam-5069	41	9	,	,	PUNCT
ejpam-5069	41	10	x	x	SYM
ejpam-5069	41	11	∈	∈	PROPN
ejpam-5069	41	12	r	r	NOUN
ejpam-5069	41	13	,	,	PUNCT
ejpam-5069	41	14	(	(	PUNCT
ejpam-5069	41	15	3	3	X
ejpam-5069	41	16	)	)	PUNCT
ejpam-5069	41	17	where	where	SCONJ
ejpam-5069	41	18	λ	λ	PROPN
ejpam-5069	41	19	ranges	range	VERB
ejpam-5069	41	20	between	between	ADP
ejpam-5069	41	21	-1	-1	INTJ
ejpam-5069	41	22	to	to	ADP
ejpam-5069	41	23	1	1	NUM
ejpam-5069	41	24	.	.	PUNCT
ejpam-5069	42	1	several	several	ADJ
ejpam-5069	42	2	flexible	flexible	ADJ
ejpam-5069	42	3	models	model	NOUN
ejpam-5069	42	4	have	have	AUX
ejpam-5069	42	5	already	already	ADV
ejpam-5069	42	6	been	be	AUX
ejpam-5069	42	7	proposed	propose	VERB
ejpam-5069	42	8	using	use	VERB
ejpam-5069	42	9	this	this	DET
ejpam-5069	42	10	transmutation	transmutation	NOUN
ejpam-5069	42	11	map	map	NOUN
ejpam-5069	42	12	.	.	PUNCT
ejpam-5069	43	1	the	the	DET
ejpam-5069	43	2	precise	precise	ADJ
ejpam-5069	43	3	objectives	objective	NOUN
ejpam-5069	43	4	of	of	ADP
ejpam-5069	43	5	this	this	DET
ejpam-5069	43	6	study	study	NOUN
ejpam-5069	43	7	are	be	AUX
ejpam-5069	43	8	to	to	PART
ejpam-5069	43	9	generate	generate	VERB
ejpam-5069	43	10	a	a	DET
ejpam-5069	43	11	flexible	flexible	ADJ
ejpam-5069	43	12	extended	extended	ADJ
ejpam-5069	43	13	second	second	ADJ
ejpam-5069	43	14	order	order	NOUN
ejpam-5069	43	15	formation	formation	NOUN
ejpam-5069	43	16	of	of	ADP
ejpam-5069	43	17	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	43	18	distribution	distribution	NOUN
ejpam-5069	43	19	can	can	AUX
ejpam-5069	43	20	be	be	AUX
ejpam-5069	43	21	called	call	VERB
ejpam-5069	43	22	cubic	cubic	ADJ
ejpam-5069	43	23	transmuted	transmute	VERB
ejpam-5069	43	24	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	43	25	distribution	distribution	NOUN
ejpam-5069	43	26	(	(	PUNCT
ejpam-5069	43	27	ctkw	ctkw	NOUN
ejpam-5069	43	28	)	)	PUNCT
ejpam-5069	43	29	(	(	PUNCT
ejpam-5069	43	30	differs	differ	VERB
ejpam-5069	43	31	from	from	ADP
ejpam-5069	43	32	the	the	DET
ejpam-5069	43	33	cubic	cubic	ADJ
ejpam-5069	43	34	rank	rank	NOUN
ejpam-5069	43	35	transmuted	transmute	VERB
ejpam-5069	43	36	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	43	37	(	(	PUNCT
ejpam-5069	43	38	crtkw	crtkw	NOUN
ejpam-5069	43	39	)	)	PUNCT
ejpam-5069	43	40	t.	t.	NOUN
ejpam-5069	43	41	tushar	tushar	PROPN
ejpam-5069	43	42	et	et	PROPN
ejpam-5069	43	43	al	al	PROPN
ejpam-5069	43	44	.	.	PUNCT
ejpam-5069	43	45	/	/	SYM
ejpam-5069	43	46	eur	eur	PROPN
ejpam-5069	43	47	.	.	PUNCT
ejpam-5069	44	1	j.	j.	PROPN
ejpam-5069	44	2	pure	pure	PROPN
ejpam-5069	44	3	appl	appl	PROPN
ejpam-5069	44	4	.	.	PROPN
ejpam-5069	44	5	math	math	PROPN
ejpam-5069	44	6	,	,	PUNCT
ejpam-5069	44	7	17	17	NUM
ejpam-5069	44	8	(	(	PUNCT
ejpam-5069	44	9	2	2	NUM
ejpam-5069	44	10	)	)	PUNCT
ejpam-5069	44	11	(	(	PUNCT
ejpam-5069	44	12	2024	2024	NUM
ejpam-5069	44	13	)	)	PUNCT
ejpam-5069	44	14	,	,	PUNCT
ejpam-5069	44	15	616	616	NUM
ejpam-5069	44	16	-	-	SYM
ejpam-5069	44	17	637	637	NUM
ejpam-5069	44	18	618	618	NUM
ejpam-5069	44	19	distribution	distribution	NOUN
ejpam-5069	44	20	)	)	PUNCT
ejpam-5069	44	21	using	use	VERB
ejpam-5069	44	22	the	the	DET
ejpam-5069	44	23	transmutation	transmutation	NOUN
ejpam-5069	44	24	map	map	NOUN
ejpam-5069	44	25	mentioned	mention	VERB
ejpam-5069	44	26	in	in	ADP
ejpam-5069	44	27	equation	equation	NOUN
ejpam-5069	44	28	(	(	PUNCT
ejpam-5069	44	29	3	3	NUM
ejpam-5069	44	30	)	)	PUNCT
ejpam-5069	44	31	.	.	PUNCT
ejpam-5069	45	1	to	to	PART
ejpam-5069	45	2	display	display	VERB
ejpam-5069	45	3	several	several	ADJ
ejpam-5069	45	4	analytical	analytical	ADJ
ejpam-5069	45	5	shapes	shape	NOUN
ejpam-5069	45	6	and	and	CCONJ
ejpam-5069	45	7	more	more	ADJ
ejpam-5069	45	8	improved	improved	ADJ
ejpam-5069	45	9	properties	property	NOUN
ejpam-5069	45	10	of	of	ADP
ejpam-5069	45	11	the	the	DET
ejpam-5069	45	12	proposed	propose	VERB
ejpam-5069	45	13	distribution	distribution	NOUN
ejpam-5069	45	14	than	than	SCONJ
ejpam-5069	45	15	crtkw	crtkw	NOUN
ejpam-5069	45	16	distribution	distribution	NOUN
ejpam-5069	45	17	.	.	PUNCT
ejpam-5069	46	1	the	the	DET
ejpam-5069	46	2	performance	performance	NOUN
ejpam-5069	46	3	of	of	ADP
ejpam-5069	46	4	the	the	DET
ejpam-5069	46	5	estimated	estimate	VERB
ejpam-5069	46	6	parameters	parameter	NOUN
ejpam-5069	46	7	(	(	PUNCT
ejpam-5069	46	8	obtained	obtain	VERB
ejpam-5069	46	9	via	via	ADP
ejpam-5069	46	10	maximum	maximum	ADJ
ejpam-5069	46	11	likelihood	likelihood	NOUN
ejpam-5069	46	12	estimation	estimation	NOUN
ejpam-5069	46	13	(	(	PUNCT
ejpam-5069	46	14	mle	mle	PROPN
ejpam-5069	46	15	)	)	PUNCT
ejpam-5069	46	16	)	)	PUNCT
ejpam-5069	46	17	of	of	ADP
ejpam-5069	46	18	the	the	DET
ejpam-5069	46	19	ctkw	ctkw	ADJ
ejpam-5069	46	20	distribution	distribution	NOUN
ejpam-5069	46	21	will	will	AUX
ejpam-5069	46	22	be	be	AUX
ejpam-5069	46	23	examined	examine	VERB
ejpam-5069	46	24	through	through	ADP
ejpam-5069	46	25	simulation	simulation	NOUN
ejpam-5069	46	26	study	study	NOUN
ejpam-5069	46	27	and	and	CCONJ
ejpam-5069	46	28	the	the	DET
ejpam-5069	46	29	suggested	suggest	VERB
ejpam-5069	46	30	distribution	distribution	NOUN
ejpam-5069	46	31	’s	’s	PART
ejpam-5069	46	32	adaptability	adaptability	NOUN
ejpam-5069	46	33	in	in	ADP
ejpam-5069	46	34	real	real	ADJ
ejpam-5069	46	35	-	-	PUNCT
ejpam-5069	46	36	world	world	NOUN
ejpam-5069	46	37	data	data	NOUN
ejpam-5069	46	38	sets	set	NOUN
ejpam-5069	46	39	can	can	AUX
ejpam-5069	46	40	be	be	AUX
ejpam-5069	46	41	obtained	obtain	VERB
ejpam-5069	46	42	with	with	ADP
ejpam-5069	46	43	the	the	DET
ejpam-5069	46	44	aid	aid	NOUN
ejpam-5069	46	45	of	of	ADP
ejpam-5069	46	46	goodness	goodness	NOUN
ejpam-5069	46	47	of	of	ADP
ejpam-5069	46	48	fit	fit	NOUN
ejpam-5069	46	49	as	as	ADV
ejpam-5069	46	50	well	well	ADV
ejpam-5069	46	51	.	.	PUNCT
ejpam-5069	47	1	the	the	DET
ejpam-5069	47	2	following	follow	VERB
ejpam-5069	47	3	is	be	AUX
ejpam-5069	47	4	an	an	DET
ejpam-5069	47	5	outline	outline	NOUN
ejpam-5069	47	6	of	of	ADP
ejpam-5069	47	7	the	the	DET
ejpam-5069	47	8	article	article	NOUN
ejpam-5069	47	9	.	.	PUNCT
ejpam-5069	48	1	section	section	NOUN
ejpam-5069	48	2	2	2	NUM
ejpam-5069	48	3	talks	talk	NOUN
ejpam-5069	48	4	about	about	ADP
ejpam-5069	48	5	the	the	DET
ejpam-5069	48	6	suggested	suggest	VERB
ejpam-5069	48	7	ctiw	ctiw	NOUN
ejpam-5069	48	8	distribution	distribution	NOUN
ejpam-5069	48	9	.	.	PUNCT
ejpam-5069	49	1	the	the	DET
ejpam-5069	49	2	statistical	statistical	ADJ
ejpam-5069	49	3	aspects	aspect	NOUN
ejpam-5069	49	4	of	of	ADP
ejpam-5069	49	5	the	the	DET
ejpam-5069	49	6	ctkw	ctkw	ADJ
ejpam-5069	49	7	distribution	distribution	NOUN
ejpam-5069	49	8	,	,	PUNCT
ejpam-5069	49	9	such	such	ADJ
ejpam-5069	49	10	as	as	ADP
ejpam-5069	49	11	moments	moment	NOUN
ejpam-5069	49	12	,	,	PUNCT
ejpam-5069	49	13	generating	generating	NOUN
ejpam-5069	49	14	functions	function	NOUN
ejpam-5069	49	15	,	,	PUNCT
ejpam-5069	49	16	quantile	quantile	ADJ
ejpam-5069	49	17	functions	function	NOUN
ejpam-5069	49	18	,	,	PUNCT
ejpam-5069	49	19	random	random	ADJ
ejpam-5069	49	20	number	number	NOUN
ejpam-5069	49	21	generation	generation	NOUN
ejpam-5069	49	22	,	,	PUNCT
ejpam-5069	49	23	and	and	CCONJ
ejpam-5069	49	24	reliability	reliability	NOUN
ejpam-5069	49	25	function	function	NOUN
ejpam-5069	49	26	presented	present	VERB
ejpam-5069	49	27	in	in	ADP
ejpam-5069	49	28	section	section	NOUN
ejpam-5069	49	29	3	3	NUM
ejpam-5069	49	30	,	,	PUNCT
ejpam-5069	49	31	along	along	ADP
ejpam-5069	49	32	with	with	ADP
ejpam-5069	49	33	the	the	DET
ejpam-5069	49	34	order	order	NOUN
ejpam-5069	49	35	statistics	statistic	NOUN
ejpam-5069	49	36	of	of	ADP
ejpam-5069	49	37	the	the	DET
ejpam-5069	49	38	distribution	distribution	NOUN
ejpam-5069	49	39	are	be	AUX
ejpam-5069	49	40	explored	explore	VERB
ejpam-5069	49	41	in	in	ADP
ejpam-5069	49	42	section	section	NOUN
ejpam-5069	49	43	4	4	NUM
ejpam-5069	49	44	.	.	PUNCT
ejpam-5069	50	1	the	the	DET
ejpam-5069	50	2	ctkw	ctkw	ADJ
ejpam-5069	50	3	distribution	distribution	NOUN
ejpam-5069	50	4	parameter	parameter	NOUN
ejpam-5069	50	5	estimate	estimate	NOUN
ejpam-5069	50	6	is	be	AUX
ejpam-5069	50	7	found	find	VERB
ejpam-5069	50	8	in	in	ADP
ejpam-5069	50	9	section	section	NOUN
ejpam-5069	50	10	5	5	NUM
ejpam-5069	50	11	.	.	PUNCT
ejpam-5069	51	1	the	the	DET
ejpam-5069	51	2	performance	performance	NOUN
ejpam-5069	51	3	of	of	ADP
ejpam-5069	51	4	mles	mle	NOUN
ejpam-5069	51	5	is	be	AUX
ejpam-5069	51	6	assessed	assess	VERB
ejpam-5069	51	7	via	via	ADP
ejpam-5069	51	8	simulation	simulation	NOUN
ejpam-5069	51	9	in	in	ADP
ejpam-5069	51	10	section	section	NOUN
ejpam-5069	51	11	6	6	NUM
ejpam-5069	51	12	.	.	PUNCT
ejpam-5069	52	1	section	section	NOUN
ejpam-5069	52	2	7	7	NUM
ejpam-5069	52	3	uses	use	VERB
ejpam-5069	52	4	two	two	NUM
ejpam-5069	52	5	actual	actual	ADJ
ejpam-5069	52	6	applications	application	NOUN
ejpam-5069	52	7	from	from	ADP
ejpam-5069	52	8	the	the	DET
ejpam-5069	52	9	real	real	ADJ
ejpam-5069	52	10	world	world	NOUN
ejpam-5069	52	11	to	to	PART
ejpam-5069	52	12	prove	prove	VERB
ejpam-5069	52	13	the	the	DET
ejpam-5069	52	14	dominant	dominant	ADJ
ejpam-5069	52	15	flexibility	flexibility	NOUN
ejpam-5069	52	16	of	of	ADP
ejpam-5069	52	17	ctkw	ctkw	ADJ
ejpam-5069	52	18	distribution	distribution	NOUN
ejpam-5069	52	19	over	over	ADP
ejpam-5069	52	20	comparable	comparable	ADJ
ejpam-5069	52	21	distributions	distribution	NOUN
ejpam-5069	52	22	.	.	PUNCT
ejpam-5069	53	1	section	section	NOUN
ejpam-5069	53	2	8	8	NUM
ejpam-5069	53	3	concludes	conclude	VERB
ejpam-5069	53	4	by	by	ADP
ejpam-5069	53	5	listing	list	VERB
ejpam-5069	53	6	a	a	DET
ejpam-5069	53	7	few	few	ADJ
ejpam-5069	53	8	last	last	ADJ
ejpam-5069	53	9	thoughts	thought	NOUN
ejpam-5069	53	10	.	.	PUNCT
ejpam-5069	54	1	2	2	X
ejpam-5069	54	2	.	.	X
ejpam-5069	54	3	cubic	cubic	ADJ
ejpam-5069	54	4	transmuted	transmute	VERB
ejpam-5069	54	5	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	54	6	distribution	distribution	NOUN
ejpam-5069	54	7	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	54	8	[	[	X
ejpam-5069	54	9	16	16	NUM
ejpam-5069	54	10	]	]	PUNCT
ejpam-5069	54	11	first	first	ADV
ejpam-5069	54	12	introduced	introduce	VERB
ejpam-5069	54	13	the	the	DET
ejpam-5069	54	14	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	54	15	distribution	distribution	NOUN
ejpam-5069	54	16	which	which	PRON
ejpam-5069	54	17	has	have	VERB
ejpam-5069	54	18	the	the	DET
ejpam-5069	54	19	following	follow	VERB
ejpam-5069	54	20	distribution	distribution	NOUN
ejpam-5069	54	21	form	form	NOUN
ejpam-5069	54	22	as	as	ADP
ejpam-5069	54	23	f	f	PROPN
ejpam-5069	54	24	(	(	PUNCT
ejpam-5069	54	25	x	x	NOUN
ejpam-5069	54	26	;	;	PUNCT
ejpam-5069	54	27	a	a	DET
ejpam-5069	54	28	,	,	PUNCT
ejpam-5069	54	29	b	b	NOUN
ejpam-5069	54	30	)	)	PUNCT
ejpam-5069	54	31	=	=	SYM
ejpam-5069	54	32	1−	1−	NUM
ejpam-5069	54	33	(	(	PUNCT
ejpam-5069	54	34	1−	1−	NUM
ejpam-5069	54	35	xa)b	xa)b	PROPN
ejpam-5069	54	36	,	,	PUNCT
ejpam-5069	54	37	x	x	PUNCT
ejpam-5069	54	38	∈	∈	PROPN
ejpam-5069	54	39	(	(	PUNCT
ejpam-5069	54	40	0	0	NUM
ejpam-5069	54	41	,	,	PUNCT
ejpam-5069	54	42	1	1	NUM
ejpam-5069	54	43	)	)	PUNCT
ejpam-5069	54	44	,	,	PUNCT
ejpam-5069	54	45	(	(	PUNCT
ejpam-5069	54	46	4	4	X
ejpam-5069	54	47	)	)	PUNCT
ejpam-5069	54	48	where	where	SCONJ
ejpam-5069	54	49	a	a	PRON
ejpam-5069	54	50	and	and	CCONJ
ejpam-5069	54	51	b	b	NOUN
ejpam-5069	54	52	are	be	AUX
ejpam-5069	54	53	the	the	DET
ejpam-5069	54	54	shape	shape	NOUN
ejpam-5069	54	55	parameters	parameter	NOUN
ejpam-5069	54	56	in	in	ADP
ejpam-5069	54	57	the	the	DET
ejpam-5069	54	58	positive	positive	ADJ
ejpam-5069	54	59	real	real	ADJ
ejpam-5069	54	60	number	number	NOUN
ejpam-5069	54	61	.	.	PUNCT
ejpam-5069	55	1	the	the	DET
ejpam-5069	55	2	cdf	cdf	PROPN
ejpam-5069	55	3	of	of	ADP
ejpam-5069	55	4	the	the	DET
ejpam-5069	55	5	transmuted	transmuted	ADJ
ejpam-5069	55	6	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	55	7	distribution	distribution	NOUN
ejpam-5069	55	8	proposed	propose	VERB
ejpam-5069	55	9	by	by	ADP
ejpam-5069	55	10	khan	khan	PROPN
ejpam-5069	55	11	et	et	PROPN
ejpam-5069	55	12	al	al	PROPN
ejpam-5069	55	13	.	.	PUNCT
ejpam-5069	56	1	[	[	X
ejpam-5069	56	2	15	15	NUM
ejpam-5069	56	3	]	]	PUNCT
ejpam-5069	56	4	using	use	VERB
ejpam-5069	56	5	the	the	DET
ejpam-5069	56	6	transmutation	transmutation	NOUN
ejpam-5069	56	7	map	map	NOUN
ejpam-5069	56	8	as	as	SCONJ
ejpam-5069	56	9	mentioned	mention	VERB
ejpam-5069	56	10	in	in	ADP
ejpam-5069	56	11	(	(	PUNCT
ejpam-5069	56	12	2	2	NUM
ejpam-5069	56	13	)	)	PUNCT
ejpam-5069	56	14	,	,	PUNCT
ejpam-5069	56	15	can	can	AUX
ejpam-5069	56	16	be	be	AUX
ejpam-5069	56	17	given	give	VERB
ejpam-5069	56	18	as	as	ADP
ejpam-5069	56	19	ftkw	ftkw	NOUN
ejpam-5069	56	20	(	(	PUNCT
ejpam-5069	56	21	x	x	NOUN
ejpam-5069	56	22	;	;	PUNCT
ejpam-5069	56	23	a	a	DET
ejpam-5069	56	24	,	,	PUNCT
ejpam-5069	56	25	b	b	NOUN
ejpam-5069	56	26	,	,	PUNCT
ejpam-5069	56	27	λ	λ	NOUN
ejpam-5069	56	28	)	)	PUNCT
ejpam-5069	56	29	=	=	PUNCT
ejpam-5069	57	1	[	[	PUNCT
ejpam-5069	57	2	1−	1−	NUM
ejpam-5069	57	3	(	(	PUNCT
ejpam-5069	57	4	1−	1−	NUM
ejpam-5069	57	5	xa)b	xa)b	PROPN
ejpam-5069	57	6	]	]	PUNCT
ejpam-5069	58	1	[	[	PUNCT
ejpam-5069	58	2	1	1	NUM
ejpam-5069	58	3	+	+	NUM
ejpam-5069	58	4	λ	λ	X
ejpam-5069	58	5	(	(	PUNCT
ejpam-5069	58	6	1−	1−	NUM
ejpam-5069	58	7	xa)b	xa)b	PROPN
ejpam-5069	58	8	]	]	PUNCT
ejpam-5069	58	9	,	,	PUNCT
ejpam-5069	58	10	x	x	PUNCT
ejpam-5069	58	11	∈	∈	PROPN
ejpam-5069	58	12	(	(	PUNCT
ejpam-5069	58	13	0	0	NUM
ejpam-5069	58	14	,	,	PUNCT
ejpam-5069	58	15	1	1	NUM
ejpam-5069	58	16	)	)	PUNCT
ejpam-5069	58	17	,	,	PUNCT
ejpam-5069	58	18	(	(	PUNCT
ejpam-5069	58	19	5	5	X
ejpam-5069	58	20	)	)	PUNCT
ejpam-5069	58	21	where	where	SCONJ
ejpam-5069	58	22	λ	λ	PROPN
ejpam-5069	58	23	is	be	AUX
ejpam-5069	58	24	the	the	DET
ejpam-5069	58	25	same	same	ADJ
ejpam-5069	58	26	as	as	ADP
ejpam-5069	58	27	(	(	PUNCT
ejpam-5069	58	28	3	3	NUM
ejpam-5069	58	29	)	)	PUNCT
ejpam-5069	58	30	.	.	PUNCT
ejpam-5069	59	1	now	now	ADV
ejpam-5069	59	2	,	,	PUNCT
ejpam-5069	59	3	by	by	ADP
ejpam-5069	59	4	substituting	substitute	VERB
ejpam-5069	59	5	the	the	DET
ejpam-5069	59	6	cdf	cdf	PROPN
ejpam-5069	59	7	of	of	ADP
ejpam-5069	59	8	the	the	DET
ejpam-5069	59	9	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	59	10	distribution	distribution	NOUN
ejpam-5069	59	11	from	from	ADP
ejpam-5069	59	12	equation	equation	NOUN
ejpam-5069	59	13	(	(	PUNCT
ejpam-5069	59	14	4	4	NUM
ejpam-5069	59	15	)	)	PUNCT
ejpam-5069	59	16	to	to	ADP
ejpam-5069	59	17	the	the	DET
ejpam-5069	59	18	cdf	cdf	PROPN
ejpam-5069	59	19	of	of	ADP
ejpam-5069	59	20	the	the	DET
ejpam-5069	59	21	second	second	ADJ
ejpam-5069	59	22	order	order	NOUN
ejpam-5069	59	23	transmutation	transmutation	NOUN
ejpam-5069	59	24	map	map	NOUN
ejpam-5069	59	25	in	in	ADP
ejpam-5069	59	26	equation	equation	NOUN
ejpam-5069	59	27	(	(	PUNCT
ejpam-5069	59	28	3	3	NUM
ejpam-5069	59	29	)	)	PUNCT
ejpam-5069	59	30	,	,	PUNCT
ejpam-5069	59	31	a	a	DET
ejpam-5069	59	32	continuous	continuous	ADJ
ejpam-5069	59	33	random	random	ADJ
ejpam-5069	59	34	variable	variable	NOUN
ejpam-5069	59	35	x	x	PUNCT
ejpam-5069	59	36	is	be	AUX
ejpam-5069	59	37	said	say	VERB
ejpam-5069	59	38	to	to	PART
ejpam-5069	59	39	have	have	VERB
ejpam-5069	59	40	ctkw	ctkw	ADJ
ejpam-5069	59	41	distribution	distribution	NOUN
ejpam-5069	59	42	if	if	SCONJ
ejpam-5069	59	43	it	it	PRON
ejpam-5069	59	44	has	have	VERB
ejpam-5069	59	45	the	the	DET
ejpam-5069	59	46	following	follow	VERB
ejpam-5069	59	47	distributional	distributional	ADJ
ejpam-5069	59	48	form	form	NOUN
ejpam-5069	59	49	fctkw	fctkw	NOUN
ejpam-5069	59	50	(	(	PUNCT
ejpam-5069	59	51	x	x	NOUN
ejpam-5069	59	52	;	;	PUNCT
ejpam-5069	59	53	a	a	DET
ejpam-5069	59	54	,	,	PUNCT
ejpam-5069	59	55	b	b	NOUN
ejpam-5069	59	56	,	,	PUNCT
ejpam-5069	59	57	λ	λ	NOUN
ejpam-5069	59	58	)	)	PUNCT
ejpam-5069	59	59	=	=	SYM
ejpam-5069	60	1	[	[	PUNCT
ejpam-5069	60	2	(	(	PUNCT
ejpam-5069	60	3	1−	1−	NUM
ejpam-5069	60	4	xa)b	xa)b	NOUN
ejpam-5069	60	5	−	−	PROPN
ejpam-5069	60	6	1	1	NUM
ejpam-5069	60	7	]	]	PUNCT
ejpam-5069	60	8	[	[	PUNCT
ejpam-5069	60	9	(	(	PUNCT
ejpam-5069	60	10	1−	1−	NUM
ejpam-5069	60	11	xa)b	xa)b	PROPN
ejpam-5069	60	12	{	{	PUNCT
ejpam-5069	60	13	2	2	NUM
ejpam-5069	60	14	(	(	PUNCT
ejpam-5069	60	15	1−	1−	NUM
ejpam-5069	60	16	xa)b	xa)b	NOUN
ejpam-5069	60	17	−	−	PROPN
ejpam-5069	60	18	1	1	NUM
ejpam-5069	60	19	}	}	PUNCT
ejpam-5069	60	20	λ−	λ−	PROPN
ejpam-5069	60	21	1	1	NUM
ejpam-5069	60	22	]	]	PUNCT
ejpam-5069	60	23	,	,	PUNCT
ejpam-5069	60	24	x	x	PUNCT
ejpam-5069	60	25	∈	∈	PROPN
ejpam-5069	60	26	(	(	PUNCT
ejpam-5069	60	27	0	0	NUM
ejpam-5069	60	28	,	,	PUNCT
ejpam-5069	60	29	1	1	NUM
ejpam-5069	60	30	)	)	PUNCT
ejpam-5069	60	31	,	,	PUNCT
ejpam-5069	60	32	(	(	PUNCT
ejpam-5069	60	33	6	6	NUM
ejpam-5069	60	34	)	)	PUNCT
ejpam-5069	60	35	where	where	SCONJ
ejpam-5069	60	36	a	a	PRON
ejpam-5069	60	37	and	and	CCONJ
ejpam-5069	60	38	b	b	NOUN
ejpam-5069	60	39	are	be	AUX
ejpam-5069	60	40	the	the	DET
ejpam-5069	60	41	shape	shape	NOUN
ejpam-5069	60	42	parameters	parameter	NOUN
ejpam-5069	60	43	within	within	ADP
ejpam-5069	60	44	the	the	DET
ejpam-5069	60	45	range	range	NOUN
ejpam-5069	60	46	of	of	ADP
ejpam-5069	60	47	positive	positive	ADJ
ejpam-5069	60	48	real	real	ADJ
ejpam-5069	60	49	number	number	NOUN
ejpam-5069	60	50	and	and	CCONJ
ejpam-5069	60	51	λ	λ	X
ejpam-5069	60	52	∈	∈	PROPN
ejpam-5069	61	1	[	[	X
ejpam-5069	61	2	−1	−1	NOUN
ejpam-5069	61	3	,	,	PUNCT
ejpam-5069	61	4	1	1	NUM
ejpam-5069	61	5	]	]	PUNCT
ejpam-5069	61	6	.	.	PUNCT
ejpam-5069	62	1	then	then	ADV
ejpam-5069	62	2	differentiating	differentiate	VERB
ejpam-5069	62	3	equation	equation	NOUN
ejpam-5069	62	4	(	(	PUNCT
ejpam-5069	62	5	6	6	NUM
ejpam-5069	62	6	)	)	PUNCT
ejpam-5069	62	7	with	with	ADP
ejpam-5069	62	8	respect	respect	NOUN
ejpam-5069	62	9	to	to	ADP
ejpam-5069	62	10	x	x	PUNCT
ejpam-5069	62	11	and	and	CCONJ
ejpam-5069	62	12	hence	hence	ADV
ejpam-5069	62	13	the	the	DET
ejpam-5069	62	14	functional	functional	ADJ
ejpam-5069	62	15	form	form	NOUN
ejpam-5069	62	16	of	of	ADP
ejpam-5069	62	17	the	the	DET
ejpam-5069	62	18	corresponding	corresponding	ADJ
ejpam-5069	62	19	pdf	pdf	NOUN
ejpam-5069	62	20	of	of	ADP
ejpam-5069	62	21	the	the	DET
ejpam-5069	62	22	ctkw	ctkw	NOUN
ejpam-5069	62	23	distribution	distribution	NOUN
ejpam-5069	62	24	is	be	AUX
ejpam-5069	62	25	fctkw	fctkw	VERB
ejpam-5069	62	26	(	(	PUNCT
ejpam-5069	62	27	x	x	NOUN
ejpam-5069	62	28	;	;	PUNCT
ejpam-5069	62	29	a	a	DET
ejpam-5069	62	30	,	,	PUNCT
ejpam-5069	62	31	b	b	NOUN
ejpam-5069	62	32	,	,	PUNCT
ejpam-5069	62	33	λ	λ	NOUN
ejpam-5069	62	34	)	)	PUNCT
ejpam-5069	62	35	=	=	SYM
ejpam-5069	62	36	abxa−1	abxa−1	NOUN
ejpam-5069	62	37	(	(	PUNCT
ejpam-5069	62	38	1−	1−	NUM
ejpam-5069	62	39	xa)b−1	xa)b−1	NOUN
ejpam-5069	62	40	[	[	PUNCT
ejpam-5069	62	41	1−	1−	NUM
ejpam-5069	62	42	λ+	λ+	PUNCT
ejpam-5069	62	43	6λ	6λ	NUM
ejpam-5069	62	44	(	(	PUNCT
ejpam-5069	62	45	1−	1−	NUM
ejpam-5069	62	46	xa)b	xa)b	NUM
ejpam-5069	63	1	−	−	PROPN
ejpam-5069	63	2	6λ	6λ	NUM
ejpam-5069	63	3	(	(	PUNCT
ejpam-5069	63	4	1−	1−	NUM
ejpam-5069	63	5	xa)2b	xa)2b	NOUN
ejpam-5069	63	6	]	]	X
ejpam-5069	63	7	,	,	PUNCT
ejpam-5069	63	8	x	x	PUNCT
ejpam-5069	63	9	∈	∈	PROPN
ejpam-5069	63	10	(	(	PUNCT
ejpam-5069	63	11	0	0	NUM
ejpam-5069	63	12	,	,	PUNCT
ejpam-5069	63	13	1	1	NUM
ejpam-5069	63	14	)	)	PUNCT
ejpam-5069	63	15	,	,	PUNCT
ejpam-5069	63	16	(	(	PUNCT
ejpam-5069	63	17	7	7	X
ejpam-5069	63	18	)	)	PUNCT
ejpam-5069	63	19	where	where	SCONJ
ejpam-5069	63	20	the	the	DET
ejpam-5069	63	21	shape	shape	NOUN
ejpam-5069	63	22	parameters	parameter	VERB
ejpam-5069	63	23	a	a	PRON
ejpam-5069	63	24	,	,	PUNCT
ejpam-5069	63	25	b	b	PROPN
ejpam-5069	63	26	∈	∈	PROPN
ejpam-5069	63	27	r+	r+	NOUN
ejpam-5069	63	28	and	and	CCONJ
ejpam-5069	63	29	λ	λ	PROPN
ejpam-5069	63	30	(	(	PUNCT
ejpam-5069	63	31	transmutation	transmutation	NOUN
ejpam-5069	63	32	parameter	parameter	NOUN
ejpam-5069	63	33	)	)	PUNCT
ejpam-5069	63	34	lies	lie	VERB
ejpam-5069	63	35	between	between	ADP
ejpam-5069	63	36	-1	-1	PUNCT
ejpam-5069	63	37	to	to	ADP
ejpam-5069	63	38	1	1	NUM
ejpam-5069	63	39	.	.	PUNCT
ejpam-5069	64	1	t.	t.	PROPN
ejpam-5069	64	2	tushar	tushar	PROPN
ejpam-5069	64	3	et	et	PROPN
ejpam-5069	64	4	al	al	PROPN
ejpam-5069	64	5	.	.	PUNCT
ejpam-5069	64	6	/	/	SYM
ejpam-5069	64	7	eur	eur	PROPN
ejpam-5069	64	8	.	.	PUNCT
ejpam-5069	65	1	j.	j.	PROPN
ejpam-5069	65	2	pure	pure	PROPN
ejpam-5069	65	3	appl	appl	PROPN
ejpam-5069	65	4	.	.	PROPN
ejpam-5069	65	5	math	math	PROPN
ejpam-5069	65	6	,	,	PUNCT
ejpam-5069	65	7	17	17	NUM
ejpam-5069	65	8	(	(	PUNCT
ejpam-5069	65	9	2	2	NUM
ejpam-5069	65	10	)	)	PUNCT
ejpam-5069	65	11	(	(	PUNCT
ejpam-5069	65	12	2024	2024	NUM
ejpam-5069	65	13	)	)	PUNCT
ejpam-5069	65	14	,	,	PUNCT
ejpam-5069	65	15	616	616	NUM
ejpam-5069	65	16	-	-	SYM
ejpam-5069	65	17	637	637	NUM
ejpam-5069	65	18	619	619	NUM
ejpam-5069	65	19	the	the	DET
ejpam-5069	65	20	following	following	NOUN
ejpam-5069	65	21	are	be	AUX
ejpam-5069	65	22	some	some	DET
ejpam-5069	65	23	examples	example	NOUN
ejpam-5069	65	24	of	of	ADP
ejpam-5069	65	25	special	special	ADJ
ejpam-5069	65	26	situations	situation	NOUN
ejpam-5069	65	27	of	of	ADP
ejpam-5069	65	28	the	the	DET
ejpam-5069	65	29	proposed	propose	VERB
ejpam-5069	65	30	ctkw	ctkw	NOUN
ejpam-5069	65	31	distribution	distribution	NOUN
ejpam-5069	65	32	:	:	PUNCT
ejpam-5069	65	33	(	(	PUNCT
ejpam-5069	65	34	i	i	NOUN
ejpam-5069	65	35	)	)	PUNCT
ejpam-5069	65	36	the	the	DET
ejpam-5069	65	37	cdf	cdf	PROPN
ejpam-5069	65	38	of	of	ADP
ejpam-5069	65	39	ctkw	ctkw	ADJ
ejpam-5069	65	40	distribution	distribution	NOUN
ejpam-5069	65	41	corresponds	correspond	VERB
ejpam-5069	65	42	with	with	ADP
ejpam-5069	65	43	the	the	DET
ejpam-5069	65	44	uniform	uniform	ADJ
ejpam-5069	65	45	distribution	distribution	NOUN
ejpam-5069	65	46	for	for	ADP
ejpam-5069	65	47	a	a	DET
ejpam-5069	65	48	=	=	SYM
ejpam-5069	65	49	b	b	NOUN
ejpam-5069	65	50	=	=	SYM
ejpam-5069	65	51	1	1	NUM
ejpam-5069	65	52	and	and	CCONJ
ejpam-5069	65	53	λ	λ	X
ejpam-5069	65	54	=	=	NOUN
ejpam-5069	65	55	0	0	PROPN
ejpam-5069	65	56	.	.	PUNCT
ejpam-5069	66	1	(	(	PUNCT
ejpam-5069	66	2	ii	ii	NOUN
ejpam-5069	66	3	)	)	PUNCT
ejpam-5069	66	4	for	for	ADP
ejpam-5069	66	5	a	a	DET
ejpam-5069	66	6	=	=	SYM
ejpam-5069	66	7	b	b	NOUN
ejpam-5069	66	8	=	=	SYM
ejpam-5069	66	9	1	1	NUM
ejpam-5069	66	10	,	,	PUNCT
ejpam-5069	66	11	the	the	DET
ejpam-5069	66	12	cdf	cdf	PROPN
ejpam-5069	66	13	of	of	ADP
ejpam-5069	66	14	ctkw	ctkw	ADJ
ejpam-5069	66	15	distribution	distribution	NOUN
ejpam-5069	66	16	reduces	reduce	VERB
ejpam-5069	66	17	to	to	ADP
ejpam-5069	66	18	cubic	cubic	ADJ
ejpam-5069	66	19	transmuted	transmute	VERB
ejpam-5069	66	20	uniform	uniform	ADJ
ejpam-5069	66	21	distribution	distribution	NOUN
ejpam-5069	66	22	(	(	PUNCT
ejpam-5069	66	23	see	see	VERB
ejpam-5069	66	24	rahman	rahman	PROPN
ejpam-5069	66	25	et	et	PROPN
ejpam-5069	66	26	al	al	PROPN
ejpam-5069	66	27	.	.	PUNCT
ejpam-5069	67	1	[	[	X
ejpam-5069	67	2	18	18	NUM
ejpam-5069	67	3	]	]	PUNCT
ejpam-5069	67	4	)	)	PUNCT
ejpam-5069	67	5	.	.	PUNCT
ejpam-5069	68	1	(	(	PUNCT
ejpam-5069	68	2	iii	iii	X
ejpam-5069	68	3	)	)	PUNCT
ejpam-5069	68	4	when	when	SCONJ
ejpam-5069	68	5	λ	λ	X
ejpam-5069	68	6	=	=	SYM
ejpam-5069	68	7	0	0	NUM
ejpam-5069	68	8	,	,	PUNCT
ejpam-5069	68	9	the	the	DET
ejpam-5069	68	10	ctkw	ctkw	NOUN
ejpam-5069	68	11	distribution	distribution	NOUN
ejpam-5069	68	12	reduces	reduce	VERB
ejpam-5069	68	13	to	to	ADP
ejpam-5069	68	14	the	the	DET
ejpam-5069	68	15	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	68	16	distribution	distribution	NOUN
ejpam-5069	68	17	.	.	PUNCT
ejpam-5069	69	1	(	(	PUNCT
ejpam-5069	69	2	iv	iv	X
ejpam-5069	69	3	)	)	PUNCT
ejpam-5069	69	4	the	the	DET
ejpam-5069	69	5	density	density	NOUN
ejpam-5069	69	6	function	function	NOUN
ejpam-5069	69	7	of	of	ADP
ejpam-5069	69	8	the	the	DET
ejpam-5069	69	9	new	new	ADJ
ejpam-5069	69	10	ctkw	ctkw	NOUN
ejpam-5069	69	11	distribution	distribution	NOUN
ejpam-5069	69	12	tends	tend	VERB
ejpam-5069	69	13	to	to	ADP
ejpam-5069	69	14	zero	zero	NUM
ejpam-5069	69	15	when	when	SCONJ
ejpam-5069	69	16	x	x	X
ejpam-5069	69	17	→	→	SYM
ejpam-5069	69	18	0	0	NUM
ejpam-5069	69	19	.	.	PUNCT
ejpam-5069	70	1	in	in	ADP
ejpam-5069	70	2	figure	figure	NOUN
ejpam-5069	70	3	1	1	NUM
ejpam-5069	70	4	,	,	PUNCT
ejpam-5069	70	5	some	some	DET
ejpam-5069	70	6	potential	potential	ADJ
ejpam-5069	70	7	pdf	pdf	NOUN
ejpam-5069	70	8	and	and	CCONJ
ejpam-5069	70	9	cdf	cdf	NOUN
ejpam-5069	70	10	forms	form	NOUN
ejpam-5069	70	11	for	for	ADP
ejpam-5069	70	12	the	the	DET
ejpam-5069	70	13	new	new	ADJ
ejpam-5069	70	14	ctkw	ctkw	NOUN
ejpam-5069	70	15	distribution	distribution	NOUN
ejpam-5069	70	16	for	for	ADP
ejpam-5069	70	17	various	various	ADJ
ejpam-5069	70	18	settings	setting	NOUN
ejpam-5069	70	19	of	of	ADP
ejpam-5069	70	20	the	the	DET
ejpam-5069	70	21	model	model	NOUN
ejpam-5069	70	22	parameters	parameter	NOUN
ejpam-5069	70	23	(	(	PUNCT
ejpam-5069	70	24	a	a	PRON
ejpam-5069	70	25	,	,	PUNCT
ejpam-5069	70	26	b	b	NOUN
ejpam-5069	70	27	,	,	PUNCT
ejpam-5069	70	28	and	and	CCONJ
ejpam-5069	70	29	λ	λ	NOUN
ejpam-5069	70	30	)	)	PUNCT
ejpam-5069	70	31	are	be	AUX
ejpam-5069	70	32	shown	show	VERB
ejpam-5069	70	33	.	.	PUNCT
ejpam-5069	71	1	the	the	DET
ejpam-5069	71	2	graphic	graphic	NOUN
ejpam-5069	71	3	demonstrates	demonstrate	VERB
ejpam-5069	71	4	that	that	SCONJ
ejpam-5069	71	5	the	the	DET
ejpam-5069	71	6	suggested	suggest	VERB
ejpam-5069	71	7	ctkw	ctkw	NOUN
ejpam-5069	71	8	may	may	AUX
ejpam-5069	71	9	be	be	AUX
ejpam-5069	71	10	utilized	utilize	VERB
ejpam-5069	71	11	to	to	PART
ejpam-5069	71	12	model	model	VERB
ejpam-5069	71	13	different	different	ADJ
ejpam-5069	71	14	possible	possible	ADJ
ejpam-5069	71	15	behavior	behavior	NOUN
ejpam-5069	71	16	(	(	PUNCT
ejpam-5069	71	17	both	both	CCONJ
ejpam-5069	71	18	uni	uni	ADJ
ejpam-5069	71	19	-	-	ADJ
ejpam-5069	71	20	modal	modal	ADJ
ejpam-5069	71	21	and	and	CCONJ
ejpam-5069	71	22	bi	bi	NOUN
ejpam-5069	71	23	-	-	NOUN
ejpam-5069	71	24	modal	modal	NOUN
ejpam-5069	71	25	)	)	PUNCT
ejpam-5069	71	26	of	of	ADP
ejpam-5069	71	27	data	datum	NOUN
ejpam-5069	71	28	.	.	PUNCT
ejpam-5069	72	1	0	0	NUM
ejpam-5069	73	1	1	1	NUM
ejpam-5069	73	2	2	2	NUM
ejpam-5069	73	3	3	3	NUM
ejpam-5069	73	4	4	4	NUM
ejpam-5069	73	5	5	5	NUM
ejpam-5069	73	6	0.00	0.00	NUM
ejpam-5069	73	7	0.25	0.25	NUM
ejpam-5069	73	8	0.50	0.50	NUM
ejpam-5069	73	9	0.75	0.75	NUM
ejpam-5069	73	10	1.00	1.00	NUM
ejpam-5069	73	11	x	x	SYM
ejpam-5069	73	12	f	f	X
ejpam-5069	73	13	(	(	PUNCT
ejpam-5069	73	14	x	x	NOUN
ejpam-5069	73	15	)	)	PUNCT
ejpam-5069	73	16	parameters	parameter	NOUN
ejpam-5069	73	17	(	(	PUNCT
ejpam-5069	73	18	0.5,0.7,−0.75	0.5,0.7,−0.75	NUM
ejpam-5069	73	19	)	)	PUNCT
ejpam-5069	73	20	(	(	PUNCT
ejpam-5069	73	21	1,1,0	1,1,0	NUM
ejpam-5069	73	22	)	)	PUNCT
ejpam-5069	73	23	(	(	PUNCT
ejpam-5069	73	24	1,1,1	1,1,1	NUM
ejpam-5069	73	25	)	)	PUNCT
ejpam-5069	73	26	(	(	PUNCT
ejpam-5069	73	27	1,2,−1	1,2,−1	NUM
ejpam-5069	73	28	)	)	PUNCT
ejpam-5069	73	29	(	(	PUNCT
ejpam-5069	73	30	1,2,1	1,2,1	NUM
ejpam-5069	73	31	)	)	PUNCT
ejpam-5069	73	32	(	(	PUNCT
ejpam-5069	73	33	9,5,−1	9,5,−1	NUM
ejpam-5069	73	34	)	)	PUNCT
ejpam-5069	73	35	probability	probability	NOUN
ejpam-5069	73	36	density	density	NOUN
ejpam-5069	73	37	function	function	VERB
ejpam-5069	73	38	0.00	0.00	NUM
ejpam-5069	73	39	0.25	0.25	NUM
ejpam-5069	73	40	0.50	0.50	NUM
ejpam-5069	73	41	0.75	0.75	NUM
ejpam-5069	73	42	1.00	1.00	NUM
ejpam-5069	73	43	0.0	0.0	NUM
ejpam-5069	73	44	0.4	0.4	NUM
ejpam-5069	73	45	0.8	0.8	NUM
ejpam-5069	73	46	1.2	1.2	NUM
ejpam-5069	73	47	x	x	SYM
ejpam-5069	73	48	f	f	X
ejpam-5069	73	49	(	(	PUNCT
ejpam-5069	73	50	x	x	PROPN
ejpam-5069	73	51	)	)	PUNCT
ejpam-5069	73	52	parameters	parameter	NOUN
ejpam-5069	73	53	(	(	PUNCT
ejpam-5069	73	54	1,1,1	1,1,1	NUM
ejpam-5069	73	55	)	)	PUNCT
ejpam-5069	73	56	(	(	PUNCT
ejpam-5069	73	57	1,5,0.75	1,5,0.75	NUM
ejpam-5069	73	58	)	)	PUNCT
ejpam-5069	73	59	(	(	PUNCT
ejpam-5069	73	60	1.2,2,1	1.2,2,1	X
ejpam-5069	73	61	)	)	PUNCT
ejpam-5069	73	62	(	(	PUNCT
ejpam-5069	73	63	1.5,7,−0.5	1.5,7,−0.5	NUM
ejpam-5069	73	64	)	)	PUNCT
ejpam-5069	73	65	(	(	PUNCT
ejpam-5069	73	66	4,3,−0.5	4,3,−0.5	NOUN
ejpam-5069	73	67	)	)	PUNCT
ejpam-5069	73	68	(	(	PUNCT
ejpam-5069	73	69	6,3,−0.5	6,3,−0.5	NUM
ejpam-5069	73	70	)	)	PUNCT
ejpam-5069	73	71	distribution	distribution	NOUN
ejpam-5069	73	72	function	function	NOUN
ejpam-5069	73	73	figure	figure	NOUN
ejpam-5069	73	74	1	1	NUM
ejpam-5069	73	75	:	:	PUNCT
ejpam-5069	73	76	plots	plot	NOUN
ejpam-5069	73	77	of	of	ADP
ejpam-5069	73	78	density	density	NOUN
ejpam-5069	73	79	and	and	CCONJ
ejpam-5069	73	80	distribution	distribution	NOUN
ejpam-5069	73	81	functions	function	NOUN
ejpam-5069	73	82	of	of	ADP
ejpam-5069	73	83	the	the	DET
ejpam-5069	73	84	proposed	propose	VERB
ejpam-5069	73	85	ctkw	ctkw	NOUN
ejpam-5069	73	86	distribution	distribution	NOUN
ejpam-5069	73	87	for	for	ADP
ejpam-5069	73	88	different	different	ADJ
ejpam-5069	73	89	combinations	combination	NOUN
ejpam-5069	73	90	of	of	ADP
ejpam-5069	73	91	the	the	DET
ejpam-5069	73	92	parameters	parameter	NOUN
ejpam-5069	73	93	3	3	NUM
ejpam-5069	73	94	.	.	PUNCT
ejpam-5069	73	95	properties	property	NOUN
ejpam-5069	73	96	of	of	ADP
ejpam-5069	73	97	ctkw	ctkw	ADJ
ejpam-5069	73	98	distribution	distribution	NOUN
ejpam-5069	73	99	the	the	DET
ejpam-5069	73	100	following	follow	VERB
ejpam-5069	73	101	subsections	subsection	NOUN
ejpam-5069	73	102	provide	provide	VERB
ejpam-5069	73	103	some	some	DET
ejpam-5069	73	104	crucial	crucial	ADJ
ejpam-5069	73	105	statistical	statistical	ADJ
ejpam-5069	73	106	characteristics	characteristic	NOUN
ejpam-5069	73	107	of	of	ADP
ejpam-5069	73	108	the	the	DET
ejpam-5069	73	109	proposed	propose	VERB
ejpam-5069	73	110	cubic	cubic	ADJ
ejpam-5069	73	111	transmuted	transmute	VERB
ejpam-5069	73	112	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	73	113	distribution	distribution	NOUN
ejpam-5069	73	114	.	.	PUNCT
ejpam-5069	74	1	3.1	3.1	NUM
ejpam-5069	74	2	.	.	PUNCT
ejpam-5069	74	3	moments	moment	NOUN
ejpam-5069	74	4	expressions	expression	NOUN
ejpam-5069	74	5	for	for	ADP
ejpam-5069	74	6	various	various	ADJ
ejpam-5069	74	7	moments	moment	NOUN
ejpam-5069	74	8	and	and	CCONJ
ejpam-5069	74	9	shape	shape	NOUN
ejpam-5069	74	10	characteristics	characteristic	NOUN
ejpam-5069	74	11	of	of	ADP
ejpam-5069	74	12	the	the	DET
ejpam-5069	74	13	proposed	propose	VERB
ejpam-5069	74	14	cubic	cubic	ADJ
ejpam-5069	74	15	transmuted	transmute	VERB
ejpam-5069	74	16	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	74	17	distribution	distribution	NOUN
ejpam-5069	74	18	is	be	AUX
ejpam-5069	74	19	provided	provide	VERB
ejpam-5069	74	20	in	in	ADP
ejpam-5069	74	21	this	this	DET
ejpam-5069	74	22	subsection	subsection	NOUN
ejpam-5069	74	23	.	.	PUNCT
ejpam-5069	75	1	the	the	DET
ejpam-5069	75	2	rth	rth	PROPN
ejpam-5069	75	3	moment	moment	NOUN
ejpam-5069	75	4	of	of	ADP
ejpam-5069	75	5	ctkw	ctkw	ADJ
ejpam-5069	75	6	distribution	distribution	NOUN
ejpam-5069	75	7	can	can	AUX
ejpam-5069	75	8	be	be	AUX
ejpam-5069	75	9	given	give	VERB
ejpam-5069	75	10	as	as	ADP
ejpam-5069	75	11	µ′	µ′	NOUN
ejpam-5069	75	12	r	r	NOUN
ejpam-5069	75	13	=	=	SYM
ejpam-5069	75	14	e	e	X
ejpam-5069	75	15	(	(	PUNCT
ejpam-5069	75	16	xr	xr	X
ejpam-5069	75	17	)	)	PUNCT
ejpam-5069	75	18	=	=	SYM
ejpam-5069	76	1	∫	∫	PROPN
ejpam-5069	76	2	∞	∞	PROPN
ejpam-5069	77	1	−∞	−∞	X
ejpam-5069	77	2	xr	xr	PROPN
ejpam-5069	77	3	f	f	PROPN
ejpam-5069	77	4	(	(	PUNCT
ejpam-5069	77	5	x	x	X
ejpam-5069	77	6	)	)	PUNCT
ejpam-5069	77	7	dx	dx	PROPN
ejpam-5069	77	8	t.	t.	PROPN
ejpam-5069	77	9	tushar	tushar	PROPN
ejpam-5069	77	10	et	et	PROPN
ejpam-5069	77	11	al	al	PROPN
ejpam-5069	77	12	.	.	PUNCT
ejpam-5069	77	13	/	/	SYM
ejpam-5069	77	14	eur	eur	PROPN
ejpam-5069	77	15	.	.	PUNCT
ejpam-5069	78	1	j.	j.	PROPN
ejpam-5069	78	2	pure	pure	PROPN
ejpam-5069	78	3	appl	appl	PROPN
ejpam-5069	78	4	.	.	PROPN
ejpam-5069	78	5	math	math	PROPN
ejpam-5069	78	6	,	,	PUNCT
ejpam-5069	78	7	17	17	NUM
ejpam-5069	78	8	(	(	PUNCT
ejpam-5069	78	9	2	2	NUM
ejpam-5069	78	10	)	)	PUNCT
ejpam-5069	78	11	(	(	PUNCT
ejpam-5069	78	12	2024	2024	NUM
ejpam-5069	78	13	)	)	PUNCT
ejpam-5069	78	14	,	,	PUNCT
ejpam-5069	78	15	616	616	NUM
ejpam-5069	78	16	-	-	SYM
ejpam-5069	78	17	637	637	NUM
ejpam-5069	78	18	620	620	NUM
ejpam-5069	78	19	=	=	SYM
ejpam-5069	78	20	∫	∫	PROPN
ejpam-5069	79	1	1	1	NUM
ejpam-5069	79	2	0	0	NUM
ejpam-5069	79	3	xr	xr	PROPN
ejpam-5069	79	4	abxa−1	abxa−1	PROPN
ejpam-5069	79	5	(	(	PUNCT
ejpam-5069	79	6	1−	1−	NUM
ejpam-5069	79	7	xa)b−1	xa)b−1	NOUN
ejpam-5069	79	8	[	[	PUNCT
ejpam-5069	79	9	1−	1−	NUM
ejpam-5069	79	10	λ+	λ+	PUNCT
ejpam-5069	79	11	6λ	6λ	NUM
ejpam-5069	79	12	(	(	PUNCT
ejpam-5069	79	13	1−	1−	NUM
ejpam-5069	79	14	xa)b	xa)b	NUM
ejpam-5069	80	1	−	−	PROPN
ejpam-5069	81	1	6λ	6λ	NUM
ejpam-5069	81	2	(	(	PUNCT
ejpam-5069	81	3	1−	1−	NUM
ejpam-5069	81	4	xa)2b	xa)2b	NOUN
ejpam-5069	81	5	]	]	X
ejpam-5069	81	6	dx	dx	PROPN
ejpam-5069	82	1	=	=	SYM
ejpam-5069	82	2	ab	ab	PROPN
ejpam-5069	82	3	[	[	PUNCT
ejpam-5069	82	4	(	(	PUNCT
ejpam-5069	82	5	1−	1−	NUM
ejpam-5069	82	6	λ	λ	NOUN
ejpam-5069	82	7	)	)	PUNCT
ejpam-5069	82	8	∫	∫	PROPN
ejpam-5069	83	1	1	1	NUM
ejpam-5069	83	2	0	0	NUM
ejpam-5069	83	3	xa+r−1	xa+r−1	PROPN
ejpam-5069	83	4	(	(	PUNCT
ejpam-5069	83	5	1−	1−	NUM
ejpam-5069	83	6	xa)b−1	xa)b−1	NOUN
ejpam-5069	84	1	+	+	CCONJ
ejpam-5069	84	2	6λ	6λ	NUM
ejpam-5069	84	3	∫	∫	NOUN
ejpam-5069	84	4	1	1	NUM
ejpam-5069	84	5	0	0	NUM
ejpam-5069	84	6	xa+r−1	xa+r−1	PROPN
ejpam-5069	84	7	(	(	PUNCT
ejpam-5069	84	8	1−	1−	NUM
ejpam-5069	84	9	xa)2b−1	xa)2b−1	NUM
ejpam-5069	84	10	−6λ	−6λ	X
ejpam-5069	84	11	∫	∫	NOUN
ejpam-5069	85	1	1	1	NUM
ejpam-5069	85	2	0	0	NUM
ejpam-5069	85	3	xa+r−1	xa+r−1	PROPN
ejpam-5069	85	4	(	(	PUNCT
ejpam-5069	85	5	1−	1−	NUM
ejpam-5069	85	6	xa)3b−1	xa)3b−1	X
ejpam-5069	85	7	]	]	PUNCT
ejpam-5069	86	1	=	=	PUNCT
ejpam-5069	86	2	bγ	bγ	PROPN
ejpam-5069	86	3	(	(	PUNCT
ejpam-5069	86	4	a+	a+	PUNCT
ejpam-5069	86	5	r	r	NOUN
ejpam-5069	86	6	a	a	NOUN
ejpam-5069	86	7	)	)	PUNCT
ejpam-5069	86	8	[	[	PUNCT
ejpam-5069	86	9	(	(	PUNCT
ejpam-5069	86	10	1−	1−	NUM
ejpam-5069	86	11	λ)γ(b	λ)γ(b	NOUN
ejpam-5069	86	12	)	)	PUNCT
ejpam-5069	86	13	γ	γ	X
ejpam-5069	86	14	(	(	PUNCT
ejpam-5069	86	15	b+	b+	ADP
ejpam-5069	86	16	r	r	VERB
ejpam-5069	86	17	a	a	DET
ejpam-5069	86	18	+	+	NOUN
ejpam-5069	86	19	1	1	NUM
ejpam-5069	86	20	)	)	PUNCT
ejpam-5069	86	21	+	+	CCONJ
ejpam-5069	87	1	6λγ(2b	6λγ(2b	ADJ
ejpam-5069	87	2	)	)	PUNCT
ejpam-5069	87	3	γ	γ	PROPN
ejpam-5069	87	4	(	(	PUNCT
ejpam-5069	87	5	2b+	2b+	NUM
ejpam-5069	87	6	r	r	NOUN
ejpam-5069	87	7	a	a	PRON
ejpam-5069	87	8	+	+	NUM
ejpam-5069	87	9	1	1	NUM
ejpam-5069	87	10	)	)	PUNCT
ejpam-5069	87	11	−	−	PROPN
ejpam-5069	87	12	6λγ(3b	6λγ(3b	PROPN
ejpam-5069	87	13	)	)	PUNCT
ejpam-5069	87	14	γ	γ	PROPN
ejpam-5069	87	15	(	(	PUNCT
ejpam-5069	87	16	3b+	3b+	NUM
ejpam-5069	87	17	r	r	NOUN
ejpam-5069	87	18	a	a	PRON
ejpam-5069	87	19	+	+	NOUN
ejpam-5069	87	20	1	1	NUM
ejpam-5069	87	21	)	)	PUNCT
ejpam-5069	87	22	]	]	PUNCT
ejpam-5069	88	1	=	=	SYM
ejpam-5069	88	2	b	b	X
ejpam-5069	88	3	[	[	PUNCT
ejpam-5069	88	4	(	(	PUNCT
ejpam-5069	88	5	1−	1−	NUM
ejpam-5069	88	6	λ)β	λ)β	X
ejpam-5069	88	7	(	(	PUNCT
ejpam-5069	88	8	r	r	NOUN
ejpam-5069	88	9	a	a	DET
ejpam-5069	88	10	+	+	NUM
ejpam-5069	88	11	1	1	NUM
ejpam-5069	88	12	,	,	PUNCT
ejpam-5069	88	13	b	b	NOUN
ejpam-5069	88	14	)	)	PUNCT
ejpam-5069	88	15	+	+	NUM
ejpam-5069	88	16	6λβ	6λβ	NOUN
ejpam-5069	88	17	(	(	PUNCT
ejpam-5069	88	18	r	r	NOUN
ejpam-5069	88	19	a	a	PRON
ejpam-5069	88	20	+	+	NUM
ejpam-5069	88	21	1	1	NUM
ejpam-5069	88	22	,	,	PUNCT
ejpam-5069	88	23	2b	2b	NUM
ejpam-5069	88	24	)	)	PUNCT
ejpam-5069	88	25	−	−	PROPN
ejpam-5069	88	26	6λβ	6λβ	NOUN
ejpam-5069	88	27	(	(	PUNCT
ejpam-5069	88	28	r	r	NOUN
ejpam-5069	88	29	a	a	PRON
ejpam-5069	88	30	+	+	NUM
ejpam-5069	88	31	1	1	NUM
ejpam-5069	88	32	,	,	PUNCT
ejpam-5069	88	33	3b	3b	NUM
ejpam-5069	88	34	)	)	PUNCT
ejpam-5069	88	35	]	]	PUNCT
ejpam-5069	88	36	µ′	µ′	NOUN
ejpam-5069	88	37	r	r	NOUN
ejpam-5069	88	38	=	=	SYM
ejpam-5069	88	39	b	b	X
ejpam-5069	89	1	[	[	X
ejpam-5069	89	2	(	(	PUNCT
ejpam-5069	89	3	1−	1−	NUM
ejpam-5069	89	4	λ)ψ1,r	λ)ψ1,r	NOUN
ejpam-5069	89	5	+	+	CCONJ
ejpam-5069	89	6	6λψ2,r	6λψ2,r	PROPN
ejpam-5069	89	7	−	−	PROPN
ejpam-5069	89	8	6λψ3,r	6λψ3,r	NUM
ejpam-5069	89	9	]	]	PUNCT
ejpam-5069	89	10	,	,	PUNCT
ejpam-5069	89	11	(	(	PUNCT
ejpam-5069	89	12	8)	8)	NUM
ejpam-5069	89	13	where	where	SCONJ
ejpam-5069	89	14	ψκ	ψκ	VERB
ejpam-5069	89	15	,	,	PUNCT
ejpam-5069	89	16	r	r	NOUN
ejpam-5069	89	17	is	be	AUX
ejpam-5069	89	18	introduced	introduce	VERB
ejpam-5069	89	19	for	for	ADP
ejpam-5069	89	20	simplicity	simplicity	NOUN
ejpam-5069	89	21	as	as	ADP
ejpam-5069	89	22	ψκ	ψκ	NOUN
ejpam-5069	89	23	,	,	PUNCT
ejpam-5069	89	24	r	r	NOUN
ejpam-5069	89	25	=	=	SYM
ejpam-5069	89	26	β	β	X
ejpam-5069	89	27	(	(	PUNCT
ejpam-5069	89	28	r	r	NOUN
ejpam-5069	89	29	a	a	PRON
ejpam-5069	89	30	+	+	NUM
ejpam-5069	89	31	1	1	NUM
ejpam-5069	89	32	,	,	PUNCT
ejpam-5069	89	33	κb	κb	PROPN
ejpam-5069	89	34	)	)	PUNCT
ejpam-5069	89	35	,	,	PUNCT
ejpam-5069	89	36	κ	κ	X
ejpam-5069	89	37	=	=	SYM
ejpam-5069	89	38	1	1	NUM
ejpam-5069	89	39	,	,	PUNCT
ejpam-5069	89	40	2	2	NUM
ejpam-5069	89	41	,	,	PUNCT
ejpam-5069	89	42	3	3	NUM
ejpam-5069	89	43	.	.	PUNCT
ejpam-5069	90	1	the	the	DET
ejpam-5069	90	2	mean	mean	NOUN
ejpam-5069	90	3	of	of	ADP
ejpam-5069	90	4	the	the	DET
ejpam-5069	90	5	ctkw	ctkw	NOUN
ejpam-5069	90	6	distribution	distribution	NOUN
ejpam-5069	90	7	can	can	AUX
ejpam-5069	90	8	be	be	AUX
ejpam-5069	90	9	given	give	VERB
ejpam-5069	90	10	by	by	ADP
ejpam-5069	90	11	substituting	substitute	VERB
ejpam-5069	90	12	r	r	NOUN
ejpam-5069	90	13	=	=	SYM
ejpam-5069	90	14	1	1	NUM
ejpam-5069	90	15	in	in	ADP
ejpam-5069	90	16	equation	equation	NOUN
ejpam-5069	90	17	(	(	PUNCT
ejpam-5069	90	18	8)	8)	NUM
ejpam-5069	90	19	as	as	ADP
ejpam-5069	90	20	µ	µ	NOUN
ejpam-5069	90	21	=	=	SYM
ejpam-5069	90	22	µ′	µ′	NOUN
ejpam-5069	90	23	1	1	NUM
ejpam-5069	90	24	=	=	SYM
ejpam-5069	90	25	b	b	X
ejpam-5069	91	1	[	[	X
ejpam-5069	91	2	(	(	PUNCT
ejpam-5069	91	3	1−	1−	NUM
ejpam-5069	91	4	λ)ψ1,1	λ)ψ1,1	NOUN
ejpam-5069	92	1	+	+	CCONJ
ejpam-5069	92	2	6λψ2,1	6λψ2,1	NUM
ejpam-5069	92	3	−	−	NOUN
ejpam-5069	93	1	6λψ3,1	6λψ3,1	NUM
ejpam-5069	93	2	]	]	PUNCT
ejpam-5069	93	3	.	.	PUNCT
ejpam-5069	94	1	(	(	PUNCT
ejpam-5069	94	2	9	9	X
ejpam-5069	94	3	)	)	PUNCT
ejpam-5069	94	4	again	again	ADV
ejpam-5069	94	5	,	,	PUNCT
ejpam-5069	94	6	the	the	DET
ejpam-5069	94	7	variance	variance	NOUN
ejpam-5069	94	8	of	of	ADP
ejpam-5069	94	9	the	the	DET
ejpam-5069	94	10	ctkw	ctkw	NOUN
ejpam-5069	94	11	distribution	distribution	NOUN
ejpam-5069	94	12	can	can	AUX
ejpam-5069	94	13	be	be	AUX
ejpam-5069	94	14	given	give	VERB
ejpam-5069	94	15	by	by	ADP
ejpam-5069	94	16	substituting	substitute	VERB
ejpam-5069	94	17	r	r	NOUN
ejpam-5069	94	18	=	=	SYM
ejpam-5069	94	19	2	2	NUM
ejpam-5069	94	20	in	in	ADP
ejpam-5069	94	21	equation	equation	NOUN
ejpam-5069	94	22	(	(	PUNCT
ejpam-5069	94	23	8)	8)	NUM
ejpam-5069	94	24	and	and	CCONJ
ejpam-5069	94	25	using	use	VERB
ejpam-5069	94	26	the	the	DET
ejpam-5069	94	27	equation	equation	NOUN
ejpam-5069	94	28	v	v	ADP
ejpam-5069	94	29	ar(x	ar(x	NUM
ejpam-5069	94	30	)	)	PUNCT
ejpam-5069	95	1	=	=	SYM
ejpam-5069	95	2	µ2	µ2	NOUN
ejpam-5069	95	3	=	=	PUNCT
ejpam-5069	95	4	µ′	µ′	NOUN
ejpam-5069	95	5	2	2	NUM
ejpam-5069	95	6	−	−	NOUN
ejpam-5069	95	7	(	(	PUNCT
ejpam-5069	95	8	µ′	µ′	NOUN
ejpam-5069	95	9	1	1	NUM
ejpam-5069	95	10	)	)	PUNCT
ejpam-5069	95	11	2	2	NUM
ejpam-5069	95	12	as	as	ADP
ejpam-5069	95	13	v	v	NOUN
ejpam-5069	95	14	ar(x	ar(x	NUM
ejpam-5069	95	15	)	)	PUNCT
ejpam-5069	95	16	=	=	SYM
ejpam-5069	96	1	b	b	X
ejpam-5069	96	2	[	[	X
ejpam-5069	96	3	(	(	PUNCT
ejpam-5069	96	4	1−	1−	NUM
ejpam-5069	96	5	λ)ψ1,2	λ)ψ1,2	NOUN
ejpam-5069	96	6	+	+	CCONJ
ejpam-5069	96	7	6λψ2,2	6λψ2,2	NUM
ejpam-5069	96	8	−	−	SYM
ejpam-5069	96	9	6λψ3,2]−	6λψ3,2]−	NUM
ejpam-5069	96	10	b2	b2	NOUN
ejpam-5069	96	11	[	[	X
ejpam-5069	96	12	(	(	PUNCT
ejpam-5069	96	13	1−	1−	NUM
ejpam-5069	96	14	λ)ψ1,1	λ)ψ1,1	NOUN
ejpam-5069	96	15	(	(	PUNCT
ejpam-5069	96	16	10	10	NUM
ejpam-5069	96	17	)	)	PUNCT
ejpam-5069	96	18	+6λψ2,1	+6λψ2,1	ADP
ejpam-5069	96	19	−	−	PROPN
ejpam-5069	97	1	6λψ3,1	6λψ3,1	NUM
ejpam-5069	97	2	]	]	X
ejpam-5069	97	3	2	2	NUM
ejpam-5069	97	4	.	.	PUNCT
ejpam-5069	98	1	for	for	ADP
ejpam-5069	98	2	the	the	DET
ejpam-5069	98	3	greater	great	ADJ
ejpam-5069	98	4	value	value	NOUN
ejpam-5069	98	5	of	of	ADP
ejpam-5069	98	6	r	r	NOUN
ejpam-5069	98	7	(	(	PUNCT
ejpam-5069	98	8	>	>	X
ejpam-5069	98	9	2	2	NUM
ejpam-5069	98	10	)	)	PUNCT
ejpam-5069	98	11	,	,	PUNCT
ejpam-5069	98	12	it	it	PRON
ejpam-5069	98	13	is	be	AUX
ejpam-5069	98	14	simple	simple	ADJ
ejpam-5069	98	15	to	to	PART
ejpam-5069	98	16	obtain	obtain	VERB
ejpam-5069	98	17	the	the	DET
ejpam-5069	98	18	other	other	ADJ
ejpam-5069	98	19	moments	moment	NOUN
ejpam-5069	98	20	and	and	CCONJ
ejpam-5069	98	21	shape	shape	NOUN
ejpam-5069	98	22	characteristics	characteristic	NOUN
ejpam-5069	98	23	of	of	ADP
ejpam-5069	98	24	the	the	DET
ejpam-5069	98	25	proposed	propose	VERB
ejpam-5069	98	26	distribution	distribution	NOUN
ejpam-5069	98	27	.	.	PUNCT
ejpam-5069	99	1	now	now	ADV
ejpam-5069	99	2	using	use	VERB
ejpam-5069	99	3	the	the	DET
ejpam-5069	99	4	equations	equation	NOUN
ejpam-5069	99	5	(	(	PUNCT
ejpam-5069	99	6	9	9	NUM
ejpam-5069	99	7	)	)	PUNCT
ejpam-5069	99	8	and	and	CCONJ
ejpam-5069	99	9	(	(	PUNCT
ejpam-5069	99	10	10	10	NUM
ejpam-5069	99	11	)	)	PUNCT
ejpam-5069	99	12	,	,	PUNCT
ejpam-5069	99	13	it	it	PRON
ejpam-5069	99	14	can	can	AUX
ejpam-5069	99	15	be	be	AUX
ejpam-5069	99	16	possible	possible	ADJ
ejpam-5069	99	17	to	to	PART
ejpam-5069	99	18	obtain	obtain	VERB
ejpam-5069	99	19	mean	mean	VERB
ejpam-5069	99	20	and	and	CCONJ
ejpam-5069	99	21	variance	variance	VERB
ejpam-5069	99	22	charts	chart	NOUN
ejpam-5069	99	23	with	with	ADP
ejpam-5069	99	24	the	the	DET
ejpam-5069	99	25	different	different	ADJ
ejpam-5069	99	26	combinations	combination	NOUN
ejpam-5069	99	27	of	of	ADP
ejpam-5069	99	28	the	the	DET
ejpam-5069	99	29	parameters	parameter	NOUN
ejpam-5069	99	30	of	of	ADP
ejpam-5069	99	31	the	the	DET
ejpam-5069	99	32	ctkw	ctkw	ADJ
ejpam-5069	99	33	distribution	distribution	NOUN
ejpam-5069	99	34	that	that	PRON
ejpam-5069	99	35	has	have	AUX
ejpam-5069	99	36	been	be	AUX
ejpam-5069	99	37	presented	present	VERB
ejpam-5069	99	38	in	in	ADP
ejpam-5069	99	39	the	the	DET
ejpam-5069	99	40	table	table	NOUN
ejpam-5069	99	41	1	1	NUM
ejpam-5069	99	42	and	and	CCONJ
ejpam-5069	99	43	2	2	NUM
ejpam-5069	99	44	respectively	respectively	ADV
ejpam-5069	99	45	.	.	PUNCT
ejpam-5069	100	1	from	from	ADP
ejpam-5069	100	2	the	the	DET
ejpam-5069	100	3	two	two	NUM
ejpam-5069	100	4	tables	table	NOUN
ejpam-5069	100	5	,	,	PUNCT
ejpam-5069	100	6	it	it	PRON
ejpam-5069	100	7	can	can	AUX
ejpam-5069	100	8	be	be	AUX
ejpam-5069	100	9	visualized	visualize	VERB
ejpam-5069	100	10	that	that	SCONJ
ejpam-5069	100	11	with	with	ADP
ejpam-5069	100	12	increasing	increase	VERB
ejpam-5069	100	13	the	the	DET
ejpam-5069	100	14	shape	shape	NOUN
ejpam-5069	100	15	parameter	parameter	NOUN
ejpam-5069	100	16	a	a	NOUN
ejpam-5069	100	17	,	,	PUNCT
ejpam-5069	100	18	mean	mean	ADJ
ejpam-5069	100	19	values	value	NOUN
ejpam-5069	100	20	are	be	AUX
ejpam-5069	100	21	rising	rise	VERB
ejpam-5069	100	22	gradually	gradually	ADV
ejpam-5069	100	23	while	while	SCONJ
ejpam-5069	100	24	variances	variance	NOUN
ejpam-5069	100	25	are	be	AUX
ejpam-5069	100	26	reducing	reduce	VERB
ejpam-5069	100	27	slowly	slowly	ADV
ejpam-5069	100	28	as	as	SCONJ
ejpam-5069	100	29	demonstrated	demonstrate	VERB
ejpam-5069	100	30	in	in	ADP
ejpam-5069	100	31	figure	figure	NOUN
ejpam-5069	100	32	2	2	NUM
ejpam-5069	100	33	and	and	CCONJ
ejpam-5069	100	34	3	3	NUM
ejpam-5069	100	35	.	.	NOUN
ejpam-5069	100	36	3.2	3.2	NUM
ejpam-5069	100	37	.	.	PUNCT
ejpam-5069	101	1	moment	moment	NOUN
ejpam-5069	101	2	generating	generate	VERB
ejpam-5069	101	3	function	function	NOUN
ejpam-5069	101	4	another	another	DET
ejpam-5069	101	5	method	method	NOUN
ejpam-5069	101	6	of	of	ADP
ejpam-5069	101	7	obtaining	obtain	VERB
ejpam-5069	101	8	moments	moment	NOUN
ejpam-5069	101	9	of	of	ADP
ejpam-5069	101	10	any	any	DET
ejpam-5069	101	11	distribution	distribution	NOUN
ejpam-5069	101	12	is	be	AUX
ejpam-5069	101	13	the	the	DET
ejpam-5069	101	14	moment	moment	NOUN
ejpam-5069	101	15	generating	generate	VERB
ejpam-5069	101	16	function	function	NOUN
ejpam-5069	101	17	(	(	PUNCT
ejpam-5069	101	18	mgf	mgf	PROPN
ejpam-5069	101	19	)	)	PUNCT
ejpam-5069	101	20	.	.	PUNCT
ejpam-5069	102	1	the	the	DET
ejpam-5069	102	2	following	follow	VERB
ejpam-5069	102	3	theorem	theorem	ADJ
ejpam-5069	102	4	states	state	NOUN
ejpam-5069	102	5	and	and	CCONJ
ejpam-5069	102	6	proves	prove	VERB
ejpam-5069	102	7	the	the	DET
ejpam-5069	102	8	mgf	mgf	NOUN
ejpam-5069	102	9	of	of	ADP
ejpam-5069	102	10	the	the	DET
ejpam-5069	102	11	ctkw	ctkw	ADJ
ejpam-5069	102	12	distribution	distribution	NOUN
ejpam-5069	102	13	.	.	PUNCT
ejpam-5069	103	1	theorem	theorem	NOUN
ejpam-5069	103	2	1	1	NUM
ejpam-5069	103	3	.	.	PUNCT
ejpam-5069	104	1	the	the	DET
ejpam-5069	104	2	moment	moment	NOUN
ejpam-5069	104	3	generating	generate	VERB
ejpam-5069	104	4	function	function	NOUN
ejpam-5069	104	5	of	of	ADP
ejpam-5069	104	6	the	the	DET
ejpam-5069	104	7	continuous	continuous	ADJ
ejpam-5069	104	8	random	random	ADJ
ejpam-5069	104	9	variable	variable	NOUN
ejpam-5069	104	10	x	x	PUNCT
ejpam-5069	104	11	which	which	PRON
ejpam-5069	104	12	follows	follow	VERB
ejpam-5069	104	13	ctkw	ctkw	ADJ
ejpam-5069	104	14	distribution	distribution	NOUN
ejpam-5069	104	15	can	can	AUX
ejpam-5069	104	16	be	be	AUX
ejpam-5069	104	17	given	give	VERB
ejpam-5069	104	18	as	as	ADP
ejpam-5069	104	19	mx(t	mx(t	NOUN
ejpam-5069	104	20	)	)	PUNCT
ejpam-5069	104	21	=	=	PUNCT
ejpam-5069	105	1	∞∑	∞∑	NUM
ejpam-5069	105	2	r=0	r=0	NUM
ejpam-5069	105	3	tr	tr	NOUN
ejpam-5069	105	4	r	r	NOUN
ejpam-5069	105	5	!	!	PUNCT
ejpam-5069	105	6	b	b	X
ejpam-5069	105	7	[	[	PUNCT
ejpam-5069	105	8	(	(	PUNCT
ejpam-5069	105	9	1−	1−	NUM
ejpam-5069	105	10	λ)β	λ)β	X
ejpam-5069	105	11	(	(	PUNCT
ejpam-5069	105	12	r	r	NOUN
ejpam-5069	105	13	a	a	DET
ejpam-5069	105	14	+	+	NUM
ejpam-5069	105	15	1	1	NUM
ejpam-5069	105	16	,	,	PUNCT
ejpam-5069	105	17	b	b	NOUN
ejpam-5069	105	18	)	)	PUNCT
ejpam-5069	105	19	+	+	NUM
ejpam-5069	105	20	6λβ	6λβ	NOUN
ejpam-5069	105	21	(	(	PUNCT
ejpam-5069	105	22	r	r	NOUN
ejpam-5069	105	23	a	a	PRON
ejpam-5069	105	24	+	+	NUM
ejpam-5069	105	25	1	1	NUM
ejpam-5069	105	26	,	,	PUNCT
ejpam-5069	105	27	2b	2b	NUM
ejpam-5069	105	28	)	)	PUNCT
ejpam-5069	105	29	−	−	PROPN
ejpam-5069	105	30	6λβ	6λβ	NOUN
ejpam-5069	105	31	(	(	PUNCT
ejpam-5069	105	32	r	r	NOUN
ejpam-5069	105	33	a	a	PRON
ejpam-5069	105	34	+	+	NUM
ejpam-5069	105	35	1	1	NUM
ejpam-5069	105	36	,	,	PUNCT
ejpam-5069	105	37	3b	3b	NUM
ejpam-5069	105	38	)	)	PUNCT
ejpam-5069	105	39	]	]	PUNCT
ejpam-5069	105	40	,	,	PUNCT
ejpam-5069	105	41	(	(	PUNCT
ejpam-5069	105	42	11	11	NUM
ejpam-5069	105	43	)	)	PUNCT
ejpam-5069	105	44	t.	t.	NOUN
ejpam-5069	105	45	tushar	tushar	PROPN
ejpam-5069	105	46	et	et	PROPN
ejpam-5069	105	47	al	al	PROPN
ejpam-5069	105	48	.	.	PUNCT
ejpam-5069	105	49	/	/	SYM
ejpam-5069	105	50	eur	eur	PROPN
ejpam-5069	105	51	.	.	PUNCT
ejpam-5069	106	1	j.	j.	PROPN
ejpam-5069	106	2	pure	pure	PROPN
ejpam-5069	106	3	appl	appl	PROPN
ejpam-5069	106	4	.	.	PROPN
ejpam-5069	106	5	math	math	PROPN
ejpam-5069	106	6	,	,	PUNCT
ejpam-5069	106	7	17	17	NUM
ejpam-5069	106	8	(	(	PUNCT
ejpam-5069	106	9	2	2	NUM
ejpam-5069	106	10	)	)	PUNCT
ejpam-5069	106	11	(	(	PUNCT
ejpam-5069	106	12	2024	2024	NUM
ejpam-5069	106	13	)	)	PUNCT
ejpam-5069	106	14	,	,	PUNCT
ejpam-5069	106	15	616	616	NUM
ejpam-5069	106	16	-	-	SYM
ejpam-5069	106	17	637	637	NUM
ejpam-5069	106	18	621	621	NUM
ejpam-5069	106	19	table	table	NOUN
ejpam-5069	106	20	1	1	NUM
ejpam-5069	106	21	:	:	PUNCT
ejpam-5069	106	22	mean	mean	VERB
ejpam-5069	106	23	chart	chart	NOUN
ejpam-5069	106	24	for	for	ADP
ejpam-5069	106	25	the	the	DET
ejpam-5069	106	26	ctkw	ctkw	ADJ
ejpam-5069	106	27	distribution	distribution	NOUN
ejpam-5069	106	28	b	b	NOUN
ejpam-5069	106	29	=	=	SYM
ejpam-5069	106	30	2	2	NUM
ejpam-5069	106	31	b	b	NOUN
ejpam-5069	106	32	=	=	SYM
ejpam-5069	106	33	4	4	NUM
ejpam-5069	106	34	b	b	NOUN
ejpam-5069	106	35	=	=	SYM
ejpam-5069	106	36	6	6	NUM
ejpam-5069	106	37	b	b	NOUN
ejpam-5069	106	38	=	=	SYM
ejpam-5069	106	39	8	8	NUM
ejpam-5069	106	40	b	b	X
ejpam-5069	106	41	=	=	NOUN
ejpam-5069	106	42	10	10	NUM
ejpam-5069	106	43	a	a	PRON
ejpam-5069	106	44	=	=	NOUN
ejpam-5069	106	45	1	1	NUM
ejpam-5069	106	46	0.352	0.352	NUM
ejpam-5069	106	47	0.221	0.221	NUM
ejpam-5069	106	48	0.160	0.160	NUM
ejpam-5069	106	49	0.126	0.126	NUM
ejpam-5069	106	50	0.103	0.103	NUM
ejpam-5069	106	51	a	a	DET
ejpam-5069	106	52	=	=	SYM
ejpam-5069	106	53	5	5	NUM
ejpam-5069	106	54	0.745	0.745	NUM
ejpam-5069	106	55	0.668	0.668	NUM
ejpam-5069	106	56	0.623	0.623	NUM
ejpam-5069	106	57	0.591	0.591	NUM
ejpam-5069	106	58	0.568	0.568	NUM
ejpam-5069	106	59	λ	λ	NOUN
ejpam-5069	106	60	=	=	PUNCT
ejpam-5069	106	61	−1	−1	NOUN
ejpam-5069	106	62	a	a	NOUN
ejpam-5069	106	63	=	=	NOUN
ejpam-5069	106	64	10	10	NUM
ejpam-5069	106	65	0.856	0.856	NUM
ejpam-5069	106	66	0.810	0.810	NUM
ejpam-5069	106	67	0.781	0.781	NUM
ejpam-5069	106	68	0.761	0.761	NUM
ejpam-5069	106	69	0.745	0.745	NUM
ejpam-5069	106	70	a	a	DET
ejpam-5069	106	71	=	=	SYM
ejpam-5069	106	72	15	15	NUM
ejpam-5069	106	73	0.900	0.900	NUM
ejpam-5069	106	74	0.867	0.867	NUM
ejpam-5069	106	75	0.846	0.846	NUM
ejpam-5069	106	76	0.832	0.832	NUM
ejpam-5069	106	77	0.820	0.820	NUM
ejpam-5069	106	78	a	a	DET
ejpam-5069	106	79	=	=	SYM
ejpam-5069	106	80	20	20	NUM
ejpam-5069	106	81	0.923	0.923	NUM
ejpam-5069	106	82	0.897	0.897	NUM
ejpam-5069	106	83	0.881	0.881	NUM
ejpam-5069	106	84	0.870	0.870	NUM
ejpam-5069	106	85	0.861	0.861	NUM
ejpam-5069	106	86	a	a	DET
ejpam-5069	106	87	=	=	SYM
ejpam-5069	106	88	1	1	NUM
ejpam-5069	106	89	0.343	0.343	NUM
ejpam-5069	106	90	0.210	0.210	NUM
ejpam-5069	106	91	0.152	0.152	NUM
ejpam-5069	106	92	0.118	0.118	NUM
ejpam-5069	106	93	0.097	0.097	NUM
ejpam-5069	106	94	a	a	DET
ejpam-5069	106	95	=	=	SYM
ejpam-5069	106	96	5	5	NUM
ejpam-5069	106	97	0.751	0.751	NUM
ejpam-5069	106	98	0.672	0.672	NUM
ejpam-5069	106	99	0.626	0.626	NUM
ejpam-5069	106	100	0.594	0.594	NUM
ejpam-5069	106	101	0.570	0.570	NUM
ejpam-5069	106	102	λ	λ	NOUN
ejpam-5069	106	103	=	=	PUNCT
ejpam-5069	106	104	−0.5	−0.5	PROPN
ejpam-5069	106	105	a	a	DET
ejpam-5069	106	106	=	=	SYM
ejpam-5069	106	107	10	10	NUM
ejpam-5069	106	108	0.861	0.861	NUM
ejpam-5069	106	109	0.813	0.813	NUM
ejpam-5069	106	110	0.785	0.785	NUM
ejpam-5069	106	111	0.764	0.764	NUM
ejpam-5069	106	112	0.749	0.749	NUM
ejpam-5069	106	113	a	a	DET
ejpam-5069	106	114	=	=	SYM
ejpam-5069	106	115	15	15	NUM
ejpam-5069	106	116	0.903	0.903	NUM
ejpam-5069	106	117	0.870	0.870	NUM
ejpam-5069	106	118	0.849	0.849	NUM
ejpam-5069	106	119	0.834	0.834	NUM
ejpam-5069	106	120	0.823	0.823	NUM
ejpam-5069	106	121	a	a	DET
ejpam-5069	106	122	=	=	NUM
ejpam-5069	106	123	20	20	NUM
ejpam-5069	106	124	0.926	0.926	NUM
ejpam-5069	106	125	0.900	0.900	NUM
ejpam-5069	106	126	0.884	0.884	NUM
ejpam-5069	106	127	0.872	0.872	NUM
ejpam-5069	106	128	0.863	0.863	NUM
ejpam-5069	106	129	a	a	DET
ejpam-5069	106	130	=	=	SYM
ejpam-5069	106	131	1	1	NUM
ejpam-5069	106	132	0.324	0.324	NUM
ejpam-5069	106	133	0.190	0.190	NUM
ejpam-5069	106	134	0.134	0.134	NUM
ejpam-5069	106	135	0.104	0.104	NUM
ejpam-5069	106	136	0.085	0.085	NUM
ejpam-5069	106	137	a	a	DET
ejpam-5069	106	138	=	=	SYM
ejpam-5069	106	139	5	5	NUM
ejpam-5069	106	140	0.764	0.764	NUM
ejpam-5069	106	141	0.681	0.681	NUM
ejpam-5069	106	142	0.633	0.633	NUM
ejpam-5069	106	143	0.600	0.600	NUM
ejpam-5069	106	144	0.575	0.575	NUM
ejpam-5069	106	145	λ	λ	NOUN
ejpam-5069	106	146	=	=	SYM
ejpam-5069	106	147	0.5	0.5	NUM
ejpam-5069	106	148	a	a	PRON
ejpam-5069	106	149	=	=	NUM
ejpam-5069	106	150	10	10	NUM
ejpam-5069	106	151	0.871	0.871	NUM
ejpam-5069	106	152	0.821	0.821	NUM
ejpam-5069	107	1	0.792	0.792	NUM
ejpam-5069	107	2	0.771	0.771	NUM
ejpam-5069	107	3	0.755	0.755	NUM
ejpam-5069	107	4	a	a	DET
ejpam-5069	107	5	=	=	SYM
ejpam-5069	107	6	15	15	NUM
ejpam-5069	107	7	0.911	0.911	NUM
ejpam-5069	107	8	0.876	0.876	NUM
ejpam-5069	107	9	0.855	0.855	NUM
ejpam-5069	107	10	0.840	0.840	NUM
ejpam-5069	107	11	0.828	0.828	NUM
ejpam-5069	107	12	a	a	DET
ejpam-5069	107	13	=	=	SYM
ejpam-5069	107	14	20	20	NUM
ejpam-5069	107	15	0.932	0.932	NUM
ejpam-5069	107	16	0.905	0.905	NUM
ejpam-5069	107	17	0.889	0.889	NUM
ejpam-5069	107	18	0.877	0.877	NUM
ejpam-5069	107	19	0.868	0.868	NUM
ejpam-5069	107	20	a	a	DET
ejpam-5069	107	21	=	=	SYM
ejpam-5069	107	22	1	1	NUM
ejpam-5069	107	23	0.314	0.314	NUM
ejpam-5069	107	24	0.179	0.179	NUM
ejpam-5069	107	25	0.126	0.126	NUM
ejpam-5069	107	26	0.096	0.096	NUM
ejpam-5069	107	27	0.078	0.078	NUM
ejpam-5069	107	28	a	a	DET
ejpam-5069	107	29	=	=	SYM
ejpam-5069	107	30	5	5	NUM
ejpam-5069	107	31	0.770	0.770	NUM
ejpam-5069	107	32	0.685	0.685	NUM
ejpam-5069	107	33	0.636	0.636	NUM
ejpam-5069	107	34	0.603	0.603	NUM
ejpam-5069	107	35	0.578	0.578	NUM
ejpam-5069	107	36	λ	λ	NOUN
ejpam-5069	107	37	=	=	NOUN
ejpam-5069	107	38	1	1	NUM
ejpam-5069	107	39	a	a	PRON
ejpam-5069	107	40	=	=	NUM
ejpam-5069	107	41	10	10	NUM
ejpam-5069	107	42	0.876	0.876	NUM
ejpam-5069	107	43	0.825	0.825	NUM
ejpam-5069	107	44	0.795	0.795	NUM
ejpam-5069	107	45	0.774	0.774	NUM
ejpam-5069	107	46	0.758	0.758	NUM
ejpam-5069	107	47	a	a	DET
ejpam-5069	107	48	=	=	NUM
ejpam-5069	107	49	15	15	NUM
ejpam-5069	107	50	0.915	0.915	NUM
ejpam-5069	107	51	0.879	0.879	NUM
ejpam-5069	107	52	0.858	0.858	NUM
ejpam-5069	107	53	0.843	0.843	NUM
ejpam-5069	107	54	0.831	0.831	NUM
ejpam-5069	107	55	a	a	DET
ejpam-5069	107	56	=	=	NOUN
ejpam-5069	107	57	20	20	NUM
ejpam-5069	107	58	0.935	0.935	NUM
ejpam-5069	107	59	0.908	0.908	NUM
ejpam-5069	107	60	0.891	0.891	NUM
ejpam-5069	107	61	0.879	0.879	NUM
ejpam-5069	107	62	0.870	0.870	NUM
ejpam-5069	107	63	where	where	SCONJ
ejpam-5069	107	64	t	t	PROPN
ejpam-5069	107	65	∈	∈	PROPN
ejpam-5069	107	66	r.	r.	PROPN
ejpam-5069	107	67	proof	proof	NOUN
ejpam-5069	107	68	.	.	PUNCT
ejpam-5069	108	1	we	we	PRON
ejpam-5069	108	2	know	know	VERB
ejpam-5069	108	3	from	from	ADP
ejpam-5069	108	4	the	the	DET
ejpam-5069	108	5	definition	definition	NOUN
ejpam-5069	108	6	of	of	ADP
ejpam-5069	108	7	mgf	mgf	PROPN
ejpam-5069	108	8	that	that	SCONJ
ejpam-5069	108	9	mx(t	mx(t	VERB
ejpam-5069	108	10	)	)	PUNCT
ejpam-5069	108	11	=	=	PUNCT
ejpam-5069	109	1	e(etx	e(etx	CCONJ
ejpam-5069	109	2	)	)	PUNCT
ejpam-5069	110	1	=	=	SYM
ejpam-5069	111	1	∫	∫	PROPN
ejpam-5069	112	1	∞	∞	PROPN
ejpam-5069	113	1	−∞	−∞	X
ejpam-5069	113	2	etx	etx	NOUN
ejpam-5069	113	3	f	f	X
ejpam-5069	113	4	(	(	PUNCT
ejpam-5069	113	5	x	x	X
ejpam-5069	113	6	)	)	PUNCT
ejpam-5069	113	7	dx	dx	PROPN
ejpam-5069	113	8	,	,	PUNCT
ejpam-5069	113	9	where	where	SCONJ
ejpam-5069	113	10	the	the	DET
ejpam-5069	113	11	density	density	NOUN
ejpam-5069	113	12	function	function	VERB
ejpam-5069	113	13	f(x	f(x	PROPN
ejpam-5069	113	14	)	)	PUNCT
ejpam-5069	113	15	of	of	ADP
ejpam-5069	113	16	the	the	DET
ejpam-5069	113	17	proposed	propose	VERB
ejpam-5069	113	18	ctkw	ctkw	NOUN
ejpam-5069	113	19	distribution	distribution	NOUN
ejpam-5069	113	20	has	have	AUX
ejpam-5069	113	21	already	already	ADV
ejpam-5069	113	22	been	be	AUX
ejpam-5069	113	23	given	give	VERB
ejpam-5069	113	24	in	in	ADP
ejpam-5069	113	25	equation	equation	NOUN
ejpam-5069	113	26	(	(	PUNCT
ejpam-5069	113	27	7	7	NUM
ejpam-5069	113	28	)	)	PUNCT
ejpam-5069	113	29	.	.	PUNCT
ejpam-5069	114	1	with	with	ADP
ejpam-5069	114	2	the	the	DET
ejpam-5069	114	3	assist	assist	NOUN
ejpam-5069	114	4	of	of	ADP
ejpam-5069	114	5	series	series	NOUN
ejpam-5069	114	6	expansion	expansion	NOUN
ejpam-5069	114	7	provided	provide	VERB
ejpam-5069	114	8	by	by	ADP
ejpam-5069	114	9	gradshteyn	gradshteyn	PROPN
ejpam-5069	114	10	and	and	CCONJ
ejpam-5069	114	11	ryzhik	ryzhik	ADJ
ejpam-5069	114	12	[	[	X
ejpam-5069	114	13	13	13	NUM
ejpam-5069	114	14	]	]	PUNCT
ejpam-5069	114	15	we	we	PRON
ejpam-5069	114	16	have	have	VERB
ejpam-5069	114	17	,	,	PUNCT
ejpam-5069	114	18	mx(t	mx(t	X
ejpam-5069	114	19	)	)	PUNCT
ejpam-5069	114	20	=	=	SYM
ejpam-5069	115	1	∫	∫	PROPN
ejpam-5069	116	1	1	1	NUM
ejpam-5069	116	2	0	0	X
ejpam-5069	117	1	∞∑	∞∑	NUM
ejpam-5069	117	2	r=0	r=0	PROPN
ejpam-5069	117	3	tr	tr	NOUN
ejpam-5069	117	4	r	r	NOUN
ejpam-5069	117	5	!	!	PUNCT
ejpam-5069	117	6	xr	xr	PROPN
ejpam-5069	117	7	f	f	PROPN
ejpam-5069	117	8	(	(	PUNCT
ejpam-5069	117	9	x	x	X
ejpam-5069	117	10	)	)	PUNCT
ejpam-5069	117	11	dx	dx	PROPN
ejpam-5069	117	12	=	=	PROPN
ejpam-5069	118	1	∞∑	∞∑	NUM
ejpam-5069	118	2	r=0	r=0	NUM
ejpam-5069	118	3	tr	tr	NOUN
ejpam-5069	118	4	r	r	NOUN
ejpam-5069	118	5	!	!	PUNCT
ejpam-5069	118	6	e	e	X
ejpam-5069	118	7	(	(	PUNCT
ejpam-5069	118	8	xr	xr	X
ejpam-5069	118	9	)	)	PUNCT
ejpam-5069	118	10	.	.	PUNCT
ejpam-5069	119	1	(	(	PUNCT
ejpam-5069	119	2	12	12	NUM
ejpam-5069	119	3	)	)	PUNCT
ejpam-5069	119	4	now	now	ADV
ejpam-5069	119	5	by	by	ADP
ejpam-5069	119	6	substituting	substitute	VERB
ejpam-5069	119	7	the	the	DET
ejpam-5069	119	8	raw	raw	ADJ
ejpam-5069	119	9	moment	moment	NOUN
ejpam-5069	119	10	from	from	ADP
ejpam-5069	119	11	equation	equation	NOUN
ejpam-5069	119	12	(	(	PUNCT
ejpam-5069	119	13	8)	8)	NUM
ejpam-5069	119	14	to	to	PART
ejpam-5069	119	15	(	(	PUNCT
ejpam-5069	119	16	12	12	NUM
ejpam-5069	119	17	)	)	PUNCT
ejpam-5069	119	18	,	,	PUNCT
ejpam-5069	119	19	the	the	DET
ejpam-5069	119	20	mgf	mgf	PROPN
ejpam-5069	119	21	of	of	ADP
ejpam-5069	119	22	the	the	DET
ejpam-5069	119	23	proposed	propose	VERB
ejpam-5069	119	24	ctkw	ctkw	NOUN
ejpam-5069	119	25	distribution	distribution	NOUN
ejpam-5069	119	26	(	(	PUNCT
ejpam-5069	119	27	11	11	NUM
ejpam-5069	119	28	)	)	PUNCT
ejpam-5069	119	29	is	be	AUX
ejpam-5069	119	30	then	then	ADV
ejpam-5069	119	31	proved	prove	VERB
ejpam-5069	119	32	.	.	PUNCT
ejpam-5069	120	1	3.3	3.3	NUM
ejpam-5069	120	2	.	.	PUNCT
ejpam-5069	121	1	quantile	quantile	NOUN
ejpam-5069	121	2	function	function	VERB
ejpam-5069	121	3	the	the	DET
ejpam-5069	121	4	quantile	quantile	ADJ
ejpam-5069	121	5	function	function	NOUN
ejpam-5069	121	6	of	of	ADP
ejpam-5069	121	7	any	any	DET
ejpam-5069	121	8	distribution	distribution	NOUN
ejpam-5069	121	9	function	function	NOUN
ejpam-5069	121	10	can	can	AUX
ejpam-5069	121	11	be	be	AUX
ejpam-5069	121	12	obtained	obtain	VERB
ejpam-5069	121	13	by	by	ADP
ejpam-5069	121	14	solving	solve	VERB
ejpam-5069	121	15	the	the	DET
ejpam-5069	121	16	equation	equation	NOUN
ejpam-5069	122	1	f	f	X
ejpam-5069	122	2	(	(	PUNCT
ejpam-5069	122	3	x	x	X
ejpam-5069	122	4	)	)	PUNCT
ejpam-5069	122	5	=	=	SYM
ejpam-5069	123	1	q	q	NOUN
ejpam-5069	123	2	,	,	PUNCT
ejpam-5069	123	3	(	(	PUNCT
ejpam-5069	123	4	13	13	NUM
ejpam-5069	123	5	)	)	PUNCT
ejpam-5069	123	6	t.	t.	NOUN
ejpam-5069	123	7	tushar	tushar	PROPN
ejpam-5069	123	8	et	et	PROPN
ejpam-5069	123	9	al	al	PROPN
ejpam-5069	123	10	.	.	PUNCT
ejpam-5069	123	11	/	/	SYM
ejpam-5069	123	12	eur	eur	PROPN
ejpam-5069	123	13	.	.	PUNCT
ejpam-5069	124	1	j.	j.	PROPN
ejpam-5069	124	2	pure	pure	PROPN
ejpam-5069	124	3	appl	appl	PROPN
ejpam-5069	124	4	.	.	PROPN
ejpam-5069	124	5	math	math	PROPN
ejpam-5069	124	6	,	,	PUNCT
ejpam-5069	124	7	17	17	NUM
ejpam-5069	124	8	(	(	PUNCT
ejpam-5069	124	9	2	2	NUM
ejpam-5069	124	10	)	)	PUNCT
ejpam-5069	124	11	(	(	PUNCT
ejpam-5069	124	12	2024	2024	NUM
ejpam-5069	124	13	)	)	PUNCT
ejpam-5069	124	14	,	,	PUNCT
ejpam-5069	124	15	616	616	NUM
ejpam-5069	124	16	-	-	SYM
ejpam-5069	124	17	637	637	NUM
ejpam-5069	124	18	622	622	NUM
ejpam-5069	124	19	table	table	NOUN
ejpam-5069	124	20	2	2	NUM
ejpam-5069	124	21	:	:	PUNCT
ejpam-5069	124	22	variance	variance	NOUN
ejpam-5069	124	23	chart	chart	NOUN
ejpam-5069	124	24	for	for	ADP
ejpam-5069	124	25	the	the	DET
ejpam-5069	124	26	ctkw	ctkw	ADJ
ejpam-5069	124	27	distribution	distribution	NOUN
ejpam-5069	124	28	b	b	NOUN
ejpam-5069	124	29	=	=	SYM
ejpam-5069	124	30	2	2	NUM
ejpam-5069	124	31	b	b	NOUN
ejpam-5069	124	32	=	=	SYM
ejpam-5069	124	33	4	4	NUM
ejpam-5069	124	34	b	b	NOUN
ejpam-5069	124	35	=	=	SYM
ejpam-5069	124	36	6	6	NUM
ejpam-5069	124	37	b	b	NOUN
ejpam-5069	124	38	=	=	SYM
ejpam-5069	124	39	8	8	NUM
ejpam-5069	124	40	b	b	X
ejpam-5069	124	41	=	=	NOUN
ejpam-5069	124	42	10	10	NUM
ejpam-5069	124	43	a	a	PRON
ejpam-5069	124	44	=	=	SYM
ejpam-5069	124	45	1	1	NUM
ejpam-5069	124	46	0.081	0.081	NUM
ejpam-5069	124	47	0.040	0.040	NUM
ejpam-5069	124	48	0.023	0.023	NUM
ejpam-5069	124	49	0.015	0.015	NUM
ejpam-5069	124	50	0.011	0.011	NUM
ejpam-5069	124	51	a	a	DET
ejpam-5069	124	52	=	=	SYM
ejpam-5069	124	53	5	5	NUM
ejpam-5069	124	54	0.032	0.032	NUM
ejpam-5069	124	55	0.030	0.030	NUM
ejpam-5069	124	56	0.028	0.028	NUM
ejpam-5069	124	57	0.026	0.026	NUM
ejpam-5069	124	58	0.024	0.024	NUM
ejpam-5069	124	59	λ	λ	X
ejpam-5069	124	60	=	=	PUNCT
ejpam-5069	124	61	−1	−1	NOUN
ejpam-5069	124	62	a	a	NOUN
ejpam-5069	124	63	=	=	NOUN
ejpam-5069	124	64	10	10	NUM
ejpam-5069	124	65	0.012	0.012	NUM
ejpam-5069	124	66	0.013	0.013	NUM
ejpam-5069	124	67	0.012	0.012	NUM
ejpam-5069	124	68	0.012	0.012	NUM
ejpam-5069	124	69	0.012	0.012	NUM
ejpam-5069	124	70	a	a	DET
ejpam-5069	124	71	=	=	SYM
ejpam-5069	124	72	15	15	NUM
ejpam-5069	124	73	0.006	0.006	NUM
ejpam-5069	124	74	0.007	0.007	NUM
ejpam-5069	124	75	0.007	0.007	NUM
ejpam-5069	124	76	0.007	0.007	NUM
ejpam-5069	124	77	0.007	0.007	NUM
ejpam-5069	124	78	a	a	DET
ejpam-5069	124	79	=	=	NUM
ejpam-5069	124	80	20	20	NUM
ejpam-5069	124	81	0.004	0.004	NUM
ejpam-5069	124	82	0.004	0.004	NUM
ejpam-5069	124	83	0.004	0.004	NUM
ejpam-5069	124	84	0.004	0.004	NUM
ejpam-5069	124	85	0.004	0.004	NUM
ejpam-5069	124	86	a	a	DET
ejpam-5069	124	87	=	=	SYM
ejpam-5069	124	88	1	1	NUM
ejpam-5069	124	89	0.068	0.068	NUM
ejpam-5069	124	90	0.033	0.033	NUM
ejpam-5069	124	91	0.019	0.019	NUM
ejpam-5069	124	92	0.013	0.013	NUM
ejpam-5069	124	93	0.009	0.009	NUM
ejpam-5069	124	94	a	a	DET
ejpam-5069	124	95	=	=	NUM
ejpam-5069	124	96	5	5	NUM
ejpam-5069	124	97	0.027	0.027	NUM
ejpam-5069	124	98	0.025	0.025	NUM
ejpam-5069	124	99	0.023	0.023	NUM
ejpam-5069	124	100	0.022	0.022	NUM
ejpam-5069	124	101	0.020	0.020	NUM
ejpam-5069	124	102	λ	λ	X
ejpam-5069	124	103	=	=	PUNCT
ejpam-5069	124	104	−0.5	−0.5	PROPN
ejpam-5069	124	105	a	a	DET
ejpam-5069	124	106	=	=	SYM
ejpam-5069	124	107	10	10	NUM
ejpam-5069	124	108	0.010	0.010	NUM
ejpam-5069	124	109	0.010	0.010	NUM
ejpam-5069	124	110	0.010	0.010	NUM
ejpam-5069	124	111	0.010	0.010	NUM
ejpam-5069	124	112	0.010	0.010	NUM
ejpam-5069	124	113	a	a	DET
ejpam-5069	124	114	=	=	NUM
ejpam-5069	124	115	15	15	NUM
ejpam-5069	124	116	0.005	0.005	NUM
ejpam-5069	124	117	0.006	0.006	NUM
ejpam-5069	124	118	0.006	0.006	NUM
ejpam-5069	124	119	0.006	0.006	NUM
ejpam-5069	124	120	0.005	0.005	NUM
ejpam-5069	124	121	a	a	DET
ejpam-5069	124	122	=	=	NUM
ejpam-5069	124	123	20	20	NUM
ejpam-5069	124	124	0.003	0.003	NUM
ejpam-5069	124	125	0.003	0.003	NUM
ejpam-5069	124	126	0.003	0.003	NUM
ejpam-5069	124	127	0.003	0.003	NUM
ejpam-5069	124	128	0.003	0.003	NUM
ejpam-5069	124	129	a	a	DET
ejpam-5069	124	130	=	=	NOUN
ejpam-5069	124	131	1	1	NUM
ejpam-5069	124	132	0.043	0.043	NUM
ejpam-5069	124	133	0.020	0.020	NUM
ejpam-5069	124	134	0.011	0.011	NUM
ejpam-5069	124	135	0.007	0.007	NUM
ejpam-5069	124	136	0.005	0.005	NUM
ejpam-5069	124	137	a	a	DET
ejpam-5069	124	138	=	=	SYM
ejpam-5069	124	139	5	5	NUM
ejpam-5069	124	140	0.016	0.016	NUM
ejpam-5069	124	141	0.015	0.015	NUM
ejpam-5069	124	142	0.013	0.013	NUM
ejpam-5069	124	143	0.012	0.012	NUM
ejpam-5069	124	144	0.012	0.012	NUM
ejpam-5069	124	145	λ	λ	X
ejpam-5069	124	146	=	=	SYM
ejpam-5069	124	147	0.5	0.5	NUM
ejpam-5069	124	148	a	a	DET
ejpam-5069	124	149	=	=	NOUN
ejpam-5069	124	150	10	10	NUM
ejpam-5069	124	151	0.006	0.006	NUM
ejpam-5069	124	152	0.006	0.006	NUM
ejpam-5069	124	153	0.006	0.006	NUM
ejpam-5069	124	154	0.006	0.006	NUM
ejpam-5069	124	155	0.005	0.005	NUM
ejpam-5069	124	156	a	a	DET
ejpam-5069	124	157	=	=	SYM
ejpam-5069	124	158	15	15	NUM
ejpam-5069	124	159	0.003	0.003	NUM
ejpam-5069	124	160	0.003	0.003	NUM
ejpam-5069	124	161	0.003	0.003	NUM
ejpam-5069	124	162	0.003	0.003	NUM
ejpam-5069	124	163	0.003	0.003	NUM
ejpam-5069	124	164	a	a	DET
ejpam-5069	124	165	=	=	NOUN
ejpam-5069	124	166	20	20	NUM
ejpam-5069	124	167	0.002	0.002	NUM
ejpam-5069	124	168	0.002	0.002	NUM
ejpam-5069	124	169	0.002	0.002	NUM
ejpam-5069	124	170	0.002	0.002	NUM
ejpam-5069	124	171	0.002	0.002	NUM
ejpam-5069	124	172	a	a	DET
ejpam-5069	124	173	=	=	NOUN
ejpam-5069	124	174	1	1	NUM
ejpam-5069	124	175	0.030	0.030	NUM
ejpam-5069	124	176	0.012	0.012	NUM
ejpam-5069	124	177	0.007	0.007	NUM
ejpam-5069	124	178	0.004	0.004	NUM
ejpam-5069	124	179	0.003	0.003	NUM
ejpam-5069	124	180	a	a	DET
ejpam-5069	124	181	=	=	SYM
ejpam-5069	124	182	5	5	NUM
ejpam-5069	124	183	0.010	0.010	NUM
ejpam-5069	124	184	0.009	0.009	NUM
ejpam-5069	124	185	0.009	0.009	NUM
ejpam-5069	124	186	0.008	0.008	NUM
ejpam-5069	124	187	0.007	0.007	NUM
ejpam-5069	124	188	λ	λ	NOUN
ejpam-5069	124	189	=	=	NOUN
ejpam-5069	124	190	1	1	NUM
ejpam-5069	124	191	a	a	PRON
ejpam-5069	124	192	=	=	NUM
ejpam-5069	124	193	10	10	NUM
ejpam-5069	124	194	0.003	0.003	NUM
ejpam-5069	124	195	0.004	0.004	NUM
ejpam-5069	124	196	0.004	0.004	NUM
ejpam-5069	124	197	0.003	0.003	NUM
ejpam-5069	124	198	0.003	0.003	NUM
ejpam-5069	124	199	a	a	DET
ejpam-5069	124	200	=	=	SYM
ejpam-5069	124	201	15	15	NUM
ejpam-5069	124	202	0.002	0.002	NUM
ejpam-5069	124	203	0.002	0.002	NUM
ejpam-5069	124	204	0.002	0.002	NUM
ejpam-5069	124	205	0.002	0.002	NUM
ejpam-5069	124	206	0.002	0.002	NUM
ejpam-5069	124	207	a	a	DET
ejpam-5069	124	208	=	=	NUM
ejpam-5069	124	209	20	20	NUM
ejpam-5069	124	210	0.001	0.001	NUM
ejpam-5069	124	211	0.001	0.001	NUM
ejpam-5069	124	212	0.001	0.001	NUM
ejpam-5069	124	213	0.001	0.001	NUM
ejpam-5069	124	214	0.001	0.001	NUM
ejpam-5069	124	215	for	for	ADP
ejpam-5069	124	216	x.	x.	NOUN
ejpam-5069	124	217	now	now	ADV
ejpam-5069	124	218	,	,	PUNCT
ejpam-5069	124	219	if	if	SCONJ
ejpam-5069	124	220	f	f	PROPN
ejpam-5069	124	221	(	(	PUNCT
ejpam-5069	124	222	x	x	X
ejpam-5069	124	223	)	)	PUNCT
ejpam-5069	124	224	is	be	AUX
ejpam-5069	124	225	the	the	DET
ejpam-5069	124	226	distribution	distribution	NOUN
ejpam-5069	124	227	function	function	NOUN
ejpam-5069	124	228	of	of	ADP
ejpam-5069	124	229	the	the	DET
ejpam-5069	124	230	ctkw	ctkw	ADJ
ejpam-5069	124	231	distribution	distribution	NOUN
ejpam-5069	124	232	as	as	SCONJ
ejpam-5069	124	233	given	give	VERB
ejpam-5069	124	234	in	in	ADP
ejpam-5069	124	235	equation	equation	NOUN
ejpam-5069	124	236	(	(	PUNCT
ejpam-5069	124	237	6	6	NUM
ejpam-5069	124	238	)	)	PUNCT
ejpam-5069	124	239	,	,	PUNCT
ejpam-5069	124	240	then	then	ADV
ejpam-5069	124	241	the	the	DET
ejpam-5069	124	242	corresponding	correspond	VERB
ejpam-5069	124	243	quantile	quantile	ADJ
ejpam-5069	124	244	xq	xq	PROPN
ejpam-5069	124	245	of	of	ADP
ejpam-5069	124	246	the	the	DET
ejpam-5069	124	247	ctkw	ctkw	ADJ
ejpam-5069	124	248	distribution	distribution	NOUN
ejpam-5069	124	249	will	will	AUX
ejpam-5069	124	250	be	be	AUX
ejpam-5069	124	251	xq	xq	PROPN
ejpam-5069	124	252	=	=	SYM
ejpam-5069	124	253	1−	1−	PROPN
ejpam-5069	124	254	{	{	PUNCT
ejpam-5069	124	255	3	3	NUM
ejpam-5069	124	256	√	√	PROPN
ejpam-5069	124	257	ϑ+	ϑ+	NOUN
ejpam-5069	124	258	9λ2(2q	9λ2(2q	NOUN
ejpam-5069	124	259	−	−	NOUN
ejpam-5069	124	260	1	1	NUM
ejpam-5069	124	261	)	)	PUNCT
ejpam-5069	124	262	2	2	NUM
ejpam-5069	124	263	32/3λ	32/3λ	NUM
ejpam-5069	124	264	+	+	CCONJ
ejpam-5069	124	265	λ+	λ+	PUNCT
ejpam-5069	124	266	2	2	NUM
ejpam-5069	124	267	2	2	NUM
ejpam-5069	124	268	3	3	NUM
ejpam-5069	124	269	√	√	NOUN
ejpam-5069	124	270	3ϑ+	3ϑ+	NUM
ejpam-5069	124	271	27λ2(2q	27λ2(2q	NUM
ejpam-5069	124	272	−	−	NOUN
ejpam-5069	125	1	1	1	NUM
ejpam-5069	125	2	)	)	PUNCT
ejpam-5069	125	3	+	+	CCONJ
ejpam-5069	126	1	1	1	NUM
ejpam-5069	126	2	2	2	NUM
ejpam-5069	126	3	}	}	PUNCT
ejpam-5069	126	4	1	1	NUM
ejpam-5069	126	5	/	/	SYM
ejpam-5069	126	6	b	b	PRON
ejpam-5069	126	7	1	1	NOUN
ejpam-5069	126	8	/	/	SYM
ejpam-5069	126	9	a	a	PRON
ejpam-5069	126	10	,	,	PUNCT
ejpam-5069	126	11	0	0	NUM
ejpam-5069	126	12	<	<	X
ejpam-5069	126	13	x	x	X
ejpam-5069	126	14	,	,	PUNCT
ejpam-5069	126	15	q	q	X
ejpam-5069	126	16	<	<	X
ejpam-5069	126	17	1	1	NUM
ejpam-5069	126	18	,	,	PUNCT
ejpam-5069	126	19	(	(	PUNCT
ejpam-5069	126	20	14	14	NUM
ejpam-5069	126	21	)	)	PUNCT
ejpam-5069	126	22	where	where	SCONJ
ejpam-5069	126	23	ϑ	ϑ	X
ejpam-5069	126	24	=	=	NOUN
ejpam-5069	126	25	√	√	ADP
ejpam-5069	126	26	3	3	NUM
ejpam-5069	126	27	√	√	NUM
ejpam-5069	126	28	−λ3(λ(λ(λ+	−λ3(λ(λ(λ+	NOUN
ejpam-5069	127	1	6)−	6)−	ADP
ejpam-5069	127	2	108(q	108(q	NUM
ejpam-5069	127	3	−	−	NOUN
ejpam-5069	127	4	1)q	1)q	NOUN
ejpam-5069	127	5	−	−	PROPN
ejpam-5069	127	6	15	15	NUM
ejpam-5069	127	7	)	)	PUNCT
ejpam-5069	128	1	+	+	X
ejpam-5069	128	2	8)	8)	NUM
ejpam-5069	128	3	.	.	PUNCT
ejpam-5069	129	1	one	one	PRON
ejpam-5069	129	2	can	can	AUX
ejpam-5069	129	3	easily	easily	ADV
ejpam-5069	129	4	obtain	obtain	VERB
ejpam-5069	129	5	all	all	DET
ejpam-5069	129	6	the	the	DET
ejpam-5069	129	7	three	three	NUM
ejpam-5069	129	8	quartiles	quartile	NOUN
ejpam-5069	129	9	with	with	ADP
ejpam-5069	129	10	the	the	DET
ejpam-5069	129	11	substitution	substitution	NOUN
ejpam-5069	129	12	of	of	ADP
ejpam-5069	129	13	q	q	NOUN
ejpam-5069	129	14	=	=	NUM
ejpam-5069	129	15	25	25	NUM
ejpam-5069	129	16	100	100	NUM
ejpam-5069	129	17	,	,	PUNCT
ejpam-5069	129	18	50	50	NUM
ejpam-5069	129	19	100	100	NUM
ejpam-5069	129	20	,	,	PUNCT
ejpam-5069	129	21	and	and	CCONJ
ejpam-5069	129	22	75	75	NUM
ejpam-5069	129	23	100	100	NUM
ejpam-5069	129	24	respectively	respectively	ADV
ejpam-5069	129	25	.	.	PUNCT
ejpam-5069	130	1	3.4	3.4	NUM
ejpam-5069	130	2	.	.	PUNCT
ejpam-5069	130	3	random	random	ADJ
ejpam-5069	130	4	sample	sample	NOUN
ejpam-5069	130	5	simulatioin	simulatioin	VERB
ejpam-5069	130	6	the	the	DET
ejpam-5069	130	7	process	process	NOUN
ejpam-5069	130	8	of	of	ADP
ejpam-5069	130	9	selecting	select	VERB
ejpam-5069	130	10	a	a	DET
ejpam-5069	130	11	sample	sample	NOUN
ejpam-5069	130	12	from	from	ADP
ejpam-5069	130	13	a	a	DET
ejpam-5069	130	14	larger	large	ADJ
ejpam-5069	130	15	population	population	NOUN
ejpam-5069	130	16	in	in	ADP
ejpam-5069	130	17	a	a	DET
ejpam-5069	130	18	way	way	NOUN
ejpam-5069	130	19	that	that	PRON
ejpam-5069	130	20	represents	represent	VERB
ejpam-5069	130	21	unpredictability	unpredictability	NOUN
ejpam-5069	130	22	and	and	CCONJ
ejpam-5069	130	23	variability	variability	NOUN
ejpam-5069	130	24	is	be	AUX
ejpam-5069	130	25	modeled	model	VERB
ejpam-5069	130	26	using	use	VERB
ejpam-5069	130	27	a	a	DET
ejpam-5069	130	28	statistical	statistical	ADJ
ejpam-5069	130	29	approach	approach	NOUN
ejpam-5069	130	30	called	call	VERB
ejpam-5069	130	31	a	a	DET
ejpam-5069	130	32	random	random	ADJ
ejpam-5069	130	33	sample	sample	NOUN
ejpam-5069	130	34	simulation	simulation	NOUN
ejpam-5069	130	35	.	.	PUNCT
ejpam-5069	131	1	when	when	SCONJ
ejpam-5069	131	2	it	it	PRON
ejpam-5069	131	3	is	be	AUX
ejpam-5069	131	4	neither	neither	CCONJ
ejpam-5069	131	5	practicable	practicable	ADJ
ejpam-5069	131	6	or	or	CCONJ
ejpam-5069	131	7	practical	practical	ADJ
ejpam-5069	131	8	to	to	PART
ejpam-5069	131	9	collect	collect	VERB
ejpam-5069	131	10	data	datum	NOUN
ejpam-5069	131	11	from	from	ADP
ejpam-5069	131	12	the	the	DET
ejpam-5069	131	13	full	full	ADJ
ejpam-5069	131	14	population	population	NOUN
ejpam-5069	131	15	,	,	PUNCT
ejpam-5069	131	16	it	it	PRON
ejpam-5069	131	17	is	be	AUX
ejpam-5069	131	18	especially	especially	ADV
ejpam-5069	131	19	beneficial	beneficial	ADJ
ejpam-5069	131	20	for	for	ADP
ejpam-5069	131	21	performing	perform	VERB
ejpam-5069	131	22	experiments	experiment	NOUN
ejpam-5069	131	23	or	or	CCONJ
ejpam-5069	131	24	studies	study	NOUN
ejpam-5069	131	25	.	.	PUNCT
ejpam-5069	132	1	for	for	ADP
ejpam-5069	132	2	simulating	simulate	VERB
ejpam-5069	132	3	the	the	DET
ejpam-5069	132	4	random	random	ADJ
ejpam-5069	132	5	sample	sample	NOUN
ejpam-5069	132	6	we	we	PRON
ejpam-5069	132	7	have	have	VERB
ejpam-5069	132	8	to	to	PART
ejpam-5069	132	9	solve	solve	VERB
ejpam-5069	132	10	the	the	DET
ejpam-5069	132	11	equation	equation	NOUN
ejpam-5069	132	12	(	(	PUNCT
ejpam-5069	132	13	13	13	NUM
ejpam-5069	132	14	)	)	PUNCT
ejpam-5069	132	15	in	in	ADP
ejpam-5069	132	16	terms	term	NOUN
ejpam-5069	132	17	of	of	ADP
ejpam-5069	132	18	u	u	NOUN
ejpam-5069	132	19	(	(	PUNCT
ejpam-5069	132	20	u	u	PROPN
ejpam-5069	132	21	∈	∈	PROPN
ejpam-5069	132	22	u(0	u(0	PROPN
ejpam-5069	132	23	,	,	PUNCT
ejpam-5069	132	24	1	1	NUM
ejpam-5069	132	25	)	)	PUNCT
ejpam-5069	132	26	)	)	PUNCT
ejpam-5069	133	1	instead	instead	ADV
ejpam-5069	133	2	t.	t.	PROPN
ejpam-5069	133	3	tushar	tushar	PROPN
ejpam-5069	133	4	et	et	PROPN
ejpam-5069	133	5	al	al	PROPN
ejpam-5069	133	6	.	.	PUNCT
ejpam-5069	133	7	/	/	SYM
ejpam-5069	133	8	eur	eur	PROPN
ejpam-5069	133	9	.	.	PUNCT
ejpam-5069	134	1	j.	j.	PROPN
ejpam-5069	134	2	pure	pure	PROPN
ejpam-5069	134	3	appl	appl	PROPN
ejpam-5069	134	4	.	.	PROPN
ejpam-5069	134	5	math	math	PROPN
ejpam-5069	134	6	,	,	PUNCT
ejpam-5069	134	7	17	17	NUM
ejpam-5069	134	8	(	(	PUNCT
ejpam-5069	134	9	2	2	NUM
ejpam-5069	134	10	)	)	PUNCT
ejpam-5069	134	11	(	(	PUNCT
ejpam-5069	134	12	2024	2024	NUM
ejpam-5069	134	13	)	)	PUNCT
ejpam-5069	134	14	,	,	PUNCT
ejpam-5069	134	15	616	616	NUM
ejpam-5069	134	16	-	-	SYM
ejpam-5069	134	17	637	637	NUM
ejpam-5069	134	18	623	623	NUM
ejpam-5069	134	19	figure	figure	NOUN
ejpam-5069	134	20	2	2	NUM
ejpam-5069	134	21	:	:	PUNCT
ejpam-5069	134	22	mean	mean	ADJ
ejpam-5069	134	23	plots	plot	NOUN
ejpam-5069	134	24	of	of	ADP
ejpam-5069	134	25	the	the	DET
ejpam-5069	134	26	proposed	propose	VERB
ejpam-5069	134	27	ctkw	ctkw	NOUN
ejpam-5069	134	28	distribution	distribution	NOUN
ejpam-5069	134	29	with	with	ADP
ejpam-5069	134	30	different	different	ADJ
ejpam-5069	134	31	combinations	combination	NOUN
ejpam-5069	134	32	of	of	ADP
ejpam-5069	134	33	the	the	DET
ejpam-5069	134	34	parameters	parameter	NOUN
ejpam-5069	134	35	a	a	DET
ejpam-5069	134	36	,	,	PUNCT
ejpam-5069	134	37	b	b	NOUN
ejpam-5069	134	38	along	along	ADP
ejpam-5069	134	39	with	with	ADP
ejpam-5069	134	40	fixed	fix	VERB
ejpam-5069	134	41	values	value	NOUN
ejpam-5069	134	42	of	of	ADP
ejpam-5069	134	43	λ	λ	PROPN
ejpam-5069	134	44	=	=	SYM
ejpam-5069	134	45	−1	−1	NOUN
ejpam-5069	134	46	(	(	PUNCT
ejpam-5069	134	47	upperleft	upperleft	ADJ
ejpam-5069	134	48	)	)	PUNCT
ejpam-5069	134	49	,	,	PUNCT
ejpam-5069	134	50	λ	λ	X
ejpam-5069	134	51	=	=	SYM
ejpam-5069	134	52	−0.5	−0.5	PROPN
ejpam-5069	134	53	(	(	PUNCT
ejpam-5069	134	54	upperright	upperright	ADV
ejpam-5069	134	55	)	)	PUNCT
ejpam-5069	134	56	,	,	PUNCT
ejpam-5069	134	57	λ	λ	X
ejpam-5069	134	58	=	=	SYM
ejpam-5069	134	59	0.5	0.5	NUM
ejpam-5069	134	60	(	(	PUNCT
ejpam-5069	134	61	lowerleft	lowerleft	ADJ
ejpam-5069	134	62	)	)	PUNCT
ejpam-5069	134	63	,	,	PUNCT
ejpam-5069	134	64	and	and	CCONJ
ejpam-5069	134	65	λ	λ	X
ejpam-5069	134	66	=	=	SYM
ejpam-5069	134	67	1	1	NUM
ejpam-5069	134	68	(	(	PUNCT
ejpam-5069	134	69	lowerright	lowerright	NOUN
ejpam-5069	134	70	)	)	PUNCT
ejpam-5069	134	71	of	of	ADP
ejpam-5069	134	72	q	q	PROPN
ejpam-5069	134	73	i.e.	i.e.	X
ejpam-5069	134	74	f	f	X
ejpam-5069	134	75	(	(	PUNCT
ejpam-5069	134	76	x	x	X
ejpam-5069	134	77	)	)	PUNCT
ejpam-5069	134	78	=	=	SYM
ejpam-5069	134	79	u.	u.	NOUN
ejpam-5069	134	80	or	or	CCONJ
ejpam-5069	134	81	,	,	PUNCT
ejpam-5069	134	82	[	[	PUNCT
ejpam-5069	134	83	(	(	PUNCT
ejpam-5069	134	84	1−	1−	NUM
ejpam-5069	134	85	xa)b	xa)b	NOUN
ejpam-5069	134	86	−	−	PROPN
ejpam-5069	135	1	1	1	NUM
ejpam-5069	135	2	]	]	PUNCT
ejpam-5069	135	3	[	[	PUNCT
ejpam-5069	135	4	(	(	PUNCT
ejpam-5069	135	5	1−	1−	NUM
ejpam-5069	135	6	xa)b	xa)b	PROPN
ejpam-5069	135	7	{	{	PUNCT
ejpam-5069	135	8	2	2	NUM
ejpam-5069	135	9	(	(	PUNCT
ejpam-5069	135	10	1−	1−	NUM
ejpam-5069	135	11	xa)b	xa)b	NOUN
ejpam-5069	135	12	−	−	PROPN
ejpam-5069	135	13	1	1	NUM
ejpam-5069	135	14	}	}	PUNCT
ejpam-5069	135	15	λ−	λ−	PROPN
ejpam-5069	135	16	1	1	NUM
ejpam-5069	135	17	]	]	PUNCT
ejpam-5069	136	1	=	=	SYM
ejpam-5069	136	2	u	u	NOUN
ejpam-5069	136	3	,	,	PUNCT
ejpam-5069	136	4	for	for	ADP
ejpam-5069	136	5	x.	x.	NOUN
ejpam-5069	136	6	after	after	ADP
ejpam-5069	136	7	some	some	DET
ejpam-5069	136	8	simplification	simplification	NOUN
ejpam-5069	136	9	,	,	PUNCT
ejpam-5069	136	10	the	the	DET
ejpam-5069	136	11	simulating	simulate	VERB
ejpam-5069	136	12	random	random	ADJ
ejpam-5069	136	13	sample	sample	NOUN
ejpam-5069	136	14	is	be	AUX
ejpam-5069	136	15	then	then	ADV
ejpam-5069	136	16	given	give	VERB
ejpam-5069	136	17	as	as	ADP
ejpam-5069	136	18	x	x	X
ejpam-5069	136	19	=	=	SYM
ejpam-5069	136	20	1−	1−	PROPN
ejpam-5069	136	21	{	{	PUNCT
ejpam-5069	136	22	3	3	NUM
ejpam-5069	136	23	√	√	PROPN
ejpam-5069	136	24	ϑ+	ϑ+	SYM
ejpam-5069	136	25	9λ2(2u−	9λ2(2u−	NUM
ejpam-5069	136	26	1	1	NUM
ejpam-5069	136	27	)	)	PUNCT
ejpam-5069	136	28	2	2	NUM
ejpam-5069	136	29	32/3λ	32/3λ	NUM
ejpam-5069	136	30	+	+	CCONJ
ejpam-5069	136	31	λ+	λ+	PUNCT
ejpam-5069	136	32	2	2	NUM
ejpam-5069	136	33	2	2	NUM
ejpam-5069	136	34	3	3	NUM
ejpam-5069	136	35	√	√	NOUN
ejpam-5069	136	36	3ϑ+	3ϑ+	NUM
ejpam-5069	136	37	27λ2(2u−	27λ2(2u−	NUM
ejpam-5069	136	38	1	1	NUM
ejpam-5069	136	39	)	)	PUNCT
ejpam-5069	136	40	+	+	CCONJ
ejpam-5069	136	41	1	1	NUM
ejpam-5069	136	42	2	2	NUM
ejpam-5069	136	43	}	}	PUNCT
ejpam-5069	136	44	1	1	NUM
ejpam-5069	136	45	/	/	SYM
ejpam-5069	136	46	b	b	PRON
ejpam-5069	136	47	1	1	NOUN
ejpam-5069	136	48	/	/	SYM
ejpam-5069	136	49	a	a	PRON
ejpam-5069	136	50	,	,	PUNCT
ejpam-5069	136	51	(	(	PUNCT
ejpam-5069	136	52	15	15	NUM
ejpam-5069	136	53	)	)	PUNCT
ejpam-5069	136	54	where	where	SCONJ
ejpam-5069	136	55	ϑ	ϑ	X
ejpam-5069	136	56	=	=	NOUN
ejpam-5069	136	57	√	√	ADP
ejpam-5069	136	58	3	3	NUM
ejpam-5069	136	59	√	√	NUM
ejpam-5069	136	60	−λ3(λ(λ(λ+	−λ3(λ(λ(λ+	NOUN
ejpam-5069	137	1	6)−	6)−	NUM
ejpam-5069	137	2	108(u−	108(u−	NUM
ejpam-5069	137	3	1)u−	1)u−	NUM
ejpam-5069	137	4	15	15	NUM
ejpam-5069	137	5	)	)	PUNCT
ejpam-5069	137	6	+	+	X
ejpam-5069	138	1	8)	8)	NUM
ejpam-5069	138	2	.	.	PUNCT
ejpam-5069	139	1	here	here	ADV
ejpam-5069	139	2	,	,	PUNCT
ejpam-5069	139	3	this	this	DET
ejpam-5069	139	4	equation	equation	NOUN
ejpam-5069	139	5	(	(	PUNCT
ejpam-5069	139	6	15	15	NUM
ejpam-5069	139	7	)	)	PUNCT
ejpam-5069	139	8	will	will	AUX
ejpam-5069	139	9	further	far	ADV
ejpam-5069	139	10	use	use	VERB
ejpam-5069	139	11	in	in	ADP
ejpam-5069	139	12	the	the	DET
ejpam-5069	139	13	simulation	simulation	NOUN
ejpam-5069	139	14	study	study	NOUN
ejpam-5069	139	15	.	.	PUNCT
ejpam-5069	140	1	t.	t.	PROPN
ejpam-5069	140	2	tushar	tushar	PROPN
ejpam-5069	140	3	et	et	PROPN
ejpam-5069	140	4	al	al	PROPN
ejpam-5069	140	5	.	.	PUNCT
ejpam-5069	140	6	/	/	SYM
ejpam-5069	140	7	eur	eur	PROPN
ejpam-5069	140	8	.	.	PUNCT
ejpam-5069	141	1	j.	j.	PROPN
ejpam-5069	141	2	pure	pure	PROPN
ejpam-5069	141	3	appl	appl	PROPN
ejpam-5069	141	4	.	.	PROPN
ejpam-5069	141	5	math	math	PROPN
ejpam-5069	141	6	,	,	PUNCT
ejpam-5069	141	7	17	17	NUM
ejpam-5069	141	8	(	(	PUNCT
ejpam-5069	141	9	2	2	NUM
ejpam-5069	141	10	)	)	PUNCT
ejpam-5069	141	11	(	(	PUNCT
ejpam-5069	141	12	2024	2024	NUM
ejpam-5069	141	13	)	)	PUNCT
ejpam-5069	141	14	,	,	PUNCT
ejpam-5069	141	15	616	616	NUM
ejpam-5069	141	16	-	-	SYM
ejpam-5069	141	17	637	637	NUM
ejpam-5069	141	18	624	624	NUM
ejpam-5069	141	19	figure	figure	NOUN
ejpam-5069	141	20	3	3	NUM
ejpam-5069	141	21	:	:	PUNCT
ejpam-5069	141	22	variance	variance	NOUN
ejpam-5069	141	23	plots	plot	NOUN
ejpam-5069	141	24	of	of	ADP
ejpam-5069	141	25	the	the	DET
ejpam-5069	141	26	proposed	propose	VERB
ejpam-5069	141	27	ctkw	ctkw	NOUN
ejpam-5069	141	28	distribution	distribution	NOUN
ejpam-5069	141	29	with	with	ADP
ejpam-5069	141	30	different	different	ADJ
ejpam-5069	141	31	combinations	combination	NOUN
ejpam-5069	141	32	of	of	ADP
ejpam-5069	141	33	the	the	DET
ejpam-5069	141	34	parameters	parameter	NOUN
ejpam-5069	141	35	a	a	DET
ejpam-5069	141	36	,	,	PUNCT
ejpam-5069	141	37	b	b	NOUN
ejpam-5069	141	38	along	along	ADP
ejpam-5069	141	39	with	with	ADP
ejpam-5069	141	40	fixed	fix	VERB
ejpam-5069	141	41	values	value	NOUN
ejpam-5069	141	42	of	of	ADP
ejpam-5069	141	43	λ	λ	PROPN
ejpam-5069	141	44	=	=	SYM
ejpam-5069	141	45	−1	−1	NOUN
ejpam-5069	141	46	(	(	PUNCT
ejpam-5069	141	47	upperleft	upperleft	ADJ
ejpam-5069	141	48	)	)	PUNCT
ejpam-5069	141	49	,	,	PUNCT
ejpam-5069	141	50	λ	λ	X
ejpam-5069	141	51	=	=	SYM
ejpam-5069	141	52	−0.5	−0.5	PROPN
ejpam-5069	141	53	(	(	PUNCT
ejpam-5069	141	54	upperright	upperright	ADV
ejpam-5069	141	55	)	)	PUNCT
ejpam-5069	141	56	,	,	PUNCT
ejpam-5069	141	57	λ	λ	X
ejpam-5069	141	58	=	=	SYM
ejpam-5069	141	59	0.5	0.5	NUM
ejpam-5069	141	60	(	(	PUNCT
ejpam-5069	141	61	lowerleft	lowerleft	ADJ
ejpam-5069	141	62	)	)	PUNCT
ejpam-5069	141	63	,	,	PUNCT
ejpam-5069	141	64	and	and	CCONJ
ejpam-5069	141	65	λ	λ	X
ejpam-5069	141	66	=	=	SYM
ejpam-5069	141	67	1	1	NUM
ejpam-5069	141	68	(	(	PUNCT
ejpam-5069	141	69	lowerright	lowerright	NOUN
ejpam-5069	141	70	)	)	PUNCT
ejpam-5069	141	71	3.5	3.5	NUM
ejpam-5069	141	72	.	.	PUNCT
ejpam-5069	142	1	reliability	reliability	NOUN
ejpam-5069	142	2	analysis	analysis	NOUN
ejpam-5069	142	3	reliability	reliability	NOUN
ejpam-5069	142	4	analysis	analysis	NOUN
ejpam-5069	142	5	is	be	AUX
ejpam-5069	142	6	a	a	DET
ejpam-5069	142	7	systematic	systematic	ADJ
ejpam-5069	142	8	method	method	NOUN
ejpam-5069	142	9	for	for	ADP
ejpam-5069	142	10	evaluating	evaluate	VERB
ejpam-5069	142	11	and	and	CCONJ
ejpam-5069	142	12	quantifying	quantify	VERB
ejpam-5069	142	13	the	the	DET
ejpam-5069	142	14	performance	performance	NOUN
ejpam-5069	142	15	and	and	CCONJ
ejpam-5069	142	16	dependability	dependability	NOUN
ejpam-5069	142	17	of	of	ADP
ejpam-5069	142	18	systems	system	NOUN
ejpam-5069	142	19	,	,	PUNCT
ejpam-5069	142	20	goods	good	NOUN
ejpam-5069	142	21	,	,	PUNCT
ejpam-5069	142	22	services	service	NOUN
ejpam-5069	142	23	,	,	PUNCT
ejpam-5069	142	24	or	or	CCONJ
ejpam-5069	142	25	other	other	ADJ
ejpam-5069	142	26	elements	element	NOUN
ejpam-5069	142	27	across	across	ADP
ejpam-5069	142	28	time	time	NOUN
ejpam-5069	142	29	.	.	PUNCT
ejpam-5069	143	1	the	the	DET
ejpam-5069	143	2	reliability	reliability	NOUN
ejpam-5069	143	3	function	function	NOUN
ejpam-5069	143	4	of	of	ADP
ejpam-5069	143	5	the	the	DET
ejpam-5069	143	6	proposed	propose	VERB
ejpam-5069	143	7	ctkw	ctkw	NOUN
ejpam-5069	143	8	distribution	distribution	NOUN
ejpam-5069	143	9	is	be	AUX
ejpam-5069	143	10	simply	simply	ADV
ejpam-5069	143	11	defined	define	VERB
ejpam-5069	143	12	as	as	ADP
ejpam-5069	143	13	r(t	r(t	NOUN
ejpam-5069	143	14	)	)	PUNCT
ejpam-5069	143	15	=	=	PUNCT
ejpam-5069	144	1	1−	1−	NUM
ejpam-5069	144	2	f	f	X
ejpam-5069	144	3	(	(	PUNCT
ejpam-5069	144	4	t	t	PROPN
ejpam-5069	144	5	)	)	PUNCT
ejpam-5069	144	6	=	=	PUNCT
ejpam-5069	144	7	(	(	PUNCT
ejpam-5069	144	8	1−	1−	NUM
ejpam-5069	144	9	ta)b	ta)b	PROPN
ejpam-5069	144	10	[	[	PUNCT
ejpam-5069	144	11	λ	λ	X
ejpam-5069	144	12	{	{	PUNCT
ejpam-5069	144	13	3	3	NUM
ejpam-5069	144	14	(	(	PUNCT
ejpam-5069	144	15	1−	1−	NUM
ejpam-5069	144	16	ta)b	ta)b	NOUN
ejpam-5069	144	17	−	−	PROPN
ejpam-5069	144	18	2	2	NUM
ejpam-5069	144	19	(	(	PUNCT
ejpam-5069	144	20	1−	1−	NUM
ejpam-5069	144	21	ta)2b	ta)2b	NOUN
ejpam-5069	144	22	−	−	NOUN
ejpam-5069	144	23	1	1	NUM
ejpam-5069	144	24	}	}	PUNCT
ejpam-5069	144	25	+	+	CCONJ
ejpam-5069	144	26	1	1	NUM
ejpam-5069	144	27	]	]	PUNCT
ejpam-5069	144	28	.	.	PUNCT
ejpam-5069	145	1	in	in	ADP
ejpam-5069	145	2	reliability	reliability	NOUN
ejpam-5069	145	3	and	and	CCONJ
ejpam-5069	145	4	survival	survival	NOUN
ejpam-5069	145	5	analysis	analysis	NOUN
ejpam-5069	145	6	,	,	PUNCT
ejpam-5069	145	7	the	the	DET
ejpam-5069	145	8	hazard	hazard	NOUN
ejpam-5069	145	9	function	function	NOUN
ejpam-5069	145	10	is	be	AUX
ejpam-5069	145	11	a	a	DET
ejpam-5069	145	12	key	key	ADJ
ejpam-5069	145	13	idea	idea	NOUN
ejpam-5069	145	14	.	.	PUNCT
ejpam-5069	146	1	it	it	PRON
ejpam-5069	146	2	calculates	calculate	VERB
ejpam-5069	146	3	the	the	DET
ejpam-5069	146	4	instantaneous	instantaneous	ADJ
ejpam-5069	146	5	rate	rate	NOUN
ejpam-5069	146	6	at	at	ADP
ejpam-5069	146	7	which	which	PRON
ejpam-5069	146	8	certain	certain	ADJ
ejpam-5069	146	9	occurrences	occurrence	NOUN
ejpam-5069	146	10	,	,	PUNCT
ejpam-5069	146	11	such	such	ADJ
ejpam-5069	146	12	as	as	ADP
ejpam-5069	146	13	failures	failure	NOUN
ejpam-5069	146	14	,	,	PUNCT
ejpam-5069	146	15	take	take	VERB
ejpam-5069	146	16	place	place	NOUN
ejpam-5069	146	17	over	over	ADP
ejpam-5069	146	18	a	a	DET
ejpam-5069	146	19	certain	certain	ADJ
ejpam-5069	146	20	period	period	NOUN
ejpam-5069	146	21	,	,	PUNCT
ejpam-5069	146	22	assuming	assume	VERB
ejpam-5069	146	23	that	that	SCONJ
ejpam-5069	146	24	the	the	DET
ejpam-5069	146	25	event	event	NOUN
ejpam-5069	146	26	has	have	AUX
ejpam-5069	146	27	not	not	PART
ejpam-5069	146	28	yet	yet	ADV
ejpam-5069	146	29	happened	happen	VERB
ejpam-5069	146	30	.	.	PUNCT
ejpam-5069	147	1	the	the	DET
ejpam-5069	147	2	hazard	hazard	NOUN
ejpam-5069	147	3	function	function	NOUN
ejpam-5069	147	4	of	of	ADP
ejpam-5069	147	5	the	the	DET
ejpam-5069	147	6	ctkw	ctkw	NOUN
ejpam-5069	147	7	distribution	distribution	NOUN
ejpam-5069	147	8	is	be	AUX
ejpam-5069	147	9	denoted	denote	VERB
ejpam-5069	147	10	as	as	ADP
ejpam-5069	147	11	h(t	h(t	PROPN
ejpam-5069	147	12	)	)	PUNCT
ejpam-5069	147	13	and	and	CCONJ
ejpam-5069	147	14	defined	define	VERB
ejpam-5069	147	15	as	as	ADP
ejpam-5069	147	16	h(t	h(t	PROPN
ejpam-5069	147	17	)	)	PUNCT
ejpam-5069	148	1	=	=	SYM
ejpam-5069	148	2	f(t	f(t	NOUN
ejpam-5069	148	3	)	)	PUNCT
ejpam-5069	148	4	r(t	r(t	NOUN
ejpam-5069	148	5	)	)	PUNCT
ejpam-5069	148	6	=	=	SYM
ejpam-5069	148	7	abta−1	abta−1	NOUN
ejpam-5069	148	8	[	[	PUNCT
ejpam-5069	148	9	λ	λ	X
ejpam-5069	148	10	{	{	PUNCT
ejpam-5069	148	11	6	6	NUM
ejpam-5069	148	12	(	(	PUNCT
ejpam-5069	148	13	1−	1−	NUM
ejpam-5069	148	14	ta)b	ta)b	NOUN
ejpam-5069	148	15	−	−	PROPN
ejpam-5069	148	16	6	6	NUM
ejpam-5069	148	17	(	(	PUNCT
ejpam-5069	148	18	1−	1−	NUM
ejpam-5069	148	19	ta)2b	ta)2b	NOUN
ejpam-5069	148	20	−	−	NOUN
ejpam-5069	148	21	1	1	NUM
ejpam-5069	148	22	}	}	PUNCT
ejpam-5069	148	23	+	+	CCONJ
ejpam-5069	148	24	1	1	X
ejpam-5069	148	25	]	]	PUNCT
ejpam-5069	148	26	(	(	PUNCT
ejpam-5069	148	27	1−	1−	NUM
ejpam-5069	148	28	ta)b	ta)b	PROPN
ejpam-5069	148	29	[	[	PUNCT
ejpam-5069	148	30	λ	λ	X
ejpam-5069	148	31	{	{	PUNCT
ejpam-5069	148	32	3	3	NUM
ejpam-5069	148	33	(	(	PUNCT
ejpam-5069	148	34	1−	1−	NUM
ejpam-5069	148	35	ta)b	ta)b	NOUN
ejpam-5069	148	36	−	−	PROPN
ejpam-5069	148	37	2	2	NUM
ejpam-5069	148	38	(	(	PUNCT
ejpam-5069	148	39	1−	1−	NUM
ejpam-5069	148	40	ta)2b	ta)2b	NOUN
ejpam-5069	148	41	−	−	NOUN
ejpam-5069	148	42	1	1	NUM
ejpam-5069	148	43	}	}	PUNCT
ejpam-5069	148	44	+	+	CCONJ
ejpam-5069	148	45	1	1	NUM
ejpam-5069	148	46	]	]	PUNCT
ejpam-5069	148	47	.	.	PUNCT
ejpam-5069	149	1	t.	t.	PROPN
ejpam-5069	149	2	tushar	tushar	PROPN
ejpam-5069	149	3	et	et	PROPN
ejpam-5069	149	4	al	al	PROPN
ejpam-5069	149	5	.	.	PUNCT
ejpam-5069	149	6	/	/	SYM
ejpam-5069	149	7	eur	eur	PROPN
ejpam-5069	149	8	.	.	PUNCT
ejpam-5069	150	1	j.	j.	PROPN
ejpam-5069	150	2	pure	pure	PROPN
ejpam-5069	150	3	appl	appl	PROPN
ejpam-5069	150	4	.	.	PROPN
ejpam-5069	150	5	math	math	PROPN
ejpam-5069	150	6	,	,	PUNCT
ejpam-5069	150	7	17	17	NUM
ejpam-5069	150	8	(	(	PUNCT
ejpam-5069	150	9	2	2	NUM
ejpam-5069	150	10	)	)	PUNCT
ejpam-5069	150	11	(	(	PUNCT
ejpam-5069	150	12	2024	2024	NUM
ejpam-5069	150	13	)	)	PUNCT
ejpam-5069	150	14	,	,	PUNCT
ejpam-5069	150	15	616	616	NUM
ejpam-5069	150	16	-	-	SYM
ejpam-5069	150	17	637	637	NUM
ejpam-5069	150	18	625	625	NUM
ejpam-5069	150	19	figure	figure	NOUN
ejpam-5069	150	20	4	4	NUM
ejpam-5069	150	21	now	now	ADV
ejpam-5069	150	22	illustrates	illustrate	VERB
ejpam-5069	150	23	several	several	ADJ
ejpam-5069	150	24	potential	potential	ADJ
ejpam-5069	150	25	reliability	reliability	NOUN
ejpam-5069	150	26	and	and	CCONJ
ejpam-5069	150	27	hazard	hazard	NOUN
ejpam-5069	150	28	function	function	NOUN
ejpam-5069	150	29	forms	form	NOUN
ejpam-5069	150	30	,	,	PUNCT
ejpam-5069	150	31	including	include	VERB
ejpam-5069	150	32	monotonically	monotonically	ADV
ejpam-5069	150	33	declining	decline	VERB
ejpam-5069	150	34	reliability	reliability	NOUN
ejpam-5069	150	35	functions	function	NOUN
ejpam-5069	150	36	and	and	CCONJ
ejpam-5069	150	37	a	a	DET
ejpam-5069	150	38	variety	variety	NOUN
ejpam-5069	150	39	of	of	ADP
ejpam-5069	150	40	hazard	hazard	NOUN
ejpam-5069	150	41	function	function	NOUN
ejpam-5069	150	42	types	type	NOUN
ejpam-5069	150	43	,	,	PUNCT
ejpam-5069	150	44	including	include	VERB
ejpam-5069	150	45	increasing	increase	VERB
ejpam-5069	150	46	,	,	PUNCT
ejpam-5069	150	47	decreasing	decrease	VERB
ejpam-5069	150	48	,	,	PUNCT
ejpam-5069	150	49	both	both	PRON
ejpam-5069	150	50	increasing	increase	VERB
ejpam-5069	150	51	and	and	CCONJ
ejpam-5069	150	52	decreasing	decrease	VERB
ejpam-5069	150	53	,	,	PUNCT
ejpam-5069	150	54	and	and	CCONJ
ejpam-5069	150	55	others	other	NOUN
ejpam-5069	150	56	for	for	ADP
ejpam-5069	150	57	several	several	ADJ
ejpam-5069	150	58	combinations	combination	NOUN
ejpam-5069	150	59	of	of	ADP
ejpam-5069	150	60	the	the	DET
ejpam-5069	150	61	model	model	NOUN
ejpam-5069	150	62	parameters	parameter	NOUN
ejpam-5069	150	63	(	(	PUNCT
ejpam-5069	150	64	a	a	PRON
ejpam-5069	150	65	,	,	PUNCT
ejpam-5069	150	66	b	b	NOUN
ejpam-5069	150	67	,	,	PUNCT
ejpam-5069	150	68	and	and	CCONJ
ejpam-5069	150	69	λ	λ	NOUN
ejpam-5069	150	70	)	)	PUNCT
ejpam-5069	150	71	.	.	PUNCT
ejpam-5069	151	1	0.00	0.00	NUM
ejpam-5069	151	2	0.25	0.25	NUM
ejpam-5069	151	3	0.50	0.50	NUM
ejpam-5069	151	4	0.75	0.75	NUM
ejpam-5069	151	5	1.00	1.00	NUM
ejpam-5069	151	6	0.0	0.0	NUM
ejpam-5069	151	7	0.5	0.5	NUM
ejpam-5069	151	8	1.0	1.0	NUM
ejpam-5069	151	9	t	t	NOUN
ejpam-5069	151	10	r	r	NOUN
ejpam-5069	151	11	(	(	PUNCT
ejpam-5069	151	12	t	t	NOUN
ejpam-5069	151	13	)	)	PUNCT
ejpam-5069	151	14	parameters	parameter	NOUN
ejpam-5069	151	15	(	(	PUNCT
ejpam-5069	151	16	1,1,1	1,1,1	NUM
ejpam-5069	151	17	)	)	PUNCT
ejpam-5069	151	18	(	(	PUNCT
ejpam-5069	151	19	1,5,0.75	1,5,0.75	NUM
ejpam-5069	151	20	)	)	PUNCT
ejpam-5069	151	21	(	(	PUNCT
ejpam-5069	151	22	1.2,2,1	1.2,2,1	X
ejpam-5069	151	23	)	)	PUNCT
ejpam-5069	151	24	(	(	PUNCT
ejpam-5069	151	25	1.5,7,−0.5	1.5,7,−0.5	NUM
ejpam-5069	151	26	)	)	PUNCT
ejpam-5069	151	27	(	(	PUNCT
ejpam-5069	151	28	4,3,−0.5	4,3,−0.5	NOUN
ejpam-5069	151	29	)	)	PUNCT
ejpam-5069	151	30	(	(	PUNCT
ejpam-5069	151	31	6,3,−0.5	6,3,−0.5	NUM
ejpam-5069	151	32	)	)	PUNCT
ejpam-5069	151	33	reliability	reliability	NOUN
ejpam-5069	151	34	function	function	NOUN
ejpam-5069	151	35	0	0	NUM
ejpam-5069	151	36	2	2	NUM
ejpam-5069	151	37	4	4	NUM
ejpam-5069	151	38	6	6	NUM
ejpam-5069	151	39	8	8	NUM
ejpam-5069	151	40	0.0	0.0	NUM
ejpam-5069	151	41	0.4	0.4	NUM
ejpam-5069	151	42	0.8	0.8	NUM
ejpam-5069	151	43	1.2	1.2	NUM
ejpam-5069	151	44	t	t	NOUN
ejpam-5069	151	45	h	h	NOUN
ejpam-5069	151	46	(	(	PUNCT
ejpam-5069	151	47	t	t	NOUN
ejpam-5069	151	48	)	)	PUNCT
ejpam-5069	151	49	parameters	parameter	NOUN
ejpam-5069	151	50	(	(	PUNCT
ejpam-5069	151	51	1,1,−1	1,1,−1	NUM
ejpam-5069	151	52	)	)	PUNCT
ejpam-5069	151	53	(	(	PUNCT
ejpam-5069	151	54	1,1,0	1,1,0	NUM
ejpam-5069	151	55	)	)	PUNCT
ejpam-5069	151	56	(	(	PUNCT
ejpam-5069	151	57	1,2,−1	1,2,−1	NUM
ejpam-5069	151	58	)	)	PUNCT
ejpam-5069	151	59	(	(	PUNCT
ejpam-5069	151	60	1,2,1	1,2,1	NUM
ejpam-5069	151	61	)	)	PUNCT
ejpam-5069	151	62	(	(	PUNCT
ejpam-5069	151	63	2,10,1	2,10,1	NUM
ejpam-5069	151	64	)	)	PUNCT
ejpam-5069	151	65	(	(	PUNCT
ejpam-5069	151	66	4,8,−1	4,8,−1	X
ejpam-5069	151	67	)	)	PUNCT
ejpam-5069	151	68	hazard	hazard	NOUN
ejpam-5069	151	69	rate	rate	NOUN
ejpam-5069	151	70	function	function	NOUN
ejpam-5069	151	71	figure	figure	NOUN
ejpam-5069	151	72	4	4	NUM
ejpam-5069	151	73	:	:	PUNCT
ejpam-5069	151	74	plots	plot	NOUN
ejpam-5069	151	75	of	of	ADP
ejpam-5069	151	76	reliability	reliability	NOUN
ejpam-5069	151	77	and	and	CCONJ
ejpam-5069	151	78	hazard	hazard	NOUN
ejpam-5069	151	79	functions	function	NOUN
ejpam-5069	151	80	of	of	ADP
ejpam-5069	151	81	the	the	DET
ejpam-5069	151	82	proposed	propose	VERB
ejpam-5069	151	83	ctkw	ctkw	NOUN
ejpam-5069	151	84	distribution	distribution	NOUN
ejpam-5069	151	85	for	for	ADP
ejpam-5069	151	86	different	different	ADJ
ejpam-5069	151	87	combinations	combination	NOUN
ejpam-5069	151	88	of	of	ADP
ejpam-5069	151	89	the	the	DET
ejpam-5069	151	90	parameters	parameter	NOUN
ejpam-5069	151	91	4	4	NUM
ejpam-5069	151	92	.	.	PUNCT
ejpam-5069	152	1	order	order	NOUN
ejpam-5069	152	2	statistics	statistic	NOUN
ejpam-5069	152	3	let	let	VERB
ejpam-5069	152	4	,	,	PUNCT
ejpam-5069	152	5	x1	x1	PROPN
ejpam-5069	152	6	,	,	PUNCT
ejpam-5069	152	7	x2	x2	PROPN
ejpam-5069	152	8	,	,	PUNCT
ejpam-5069	152	9	...	...	PUNCT
ejpam-5069	152	10	,	,	PUNCT
ejpam-5069	152	11	xn	xn	PROPN
ejpam-5069	152	12	be	be	AUX
ejpam-5069	152	13	iid	iid	VERB
ejpam-5069	152	14	random	random	ADJ
ejpam-5069	152	15	variables	variable	NOUN
ejpam-5069	152	16	which	which	PRON
ejpam-5069	152	17	are	be	AUX
ejpam-5069	152	18	arranged	arrange	VERB
ejpam-5069	152	19	in	in	ADP
ejpam-5069	152	20	ascending	ascend	VERB
ejpam-5069	152	21	order	order	NOUN
ejpam-5069	152	22	according	accord	VERB
ejpam-5069	152	23	to	to	ADP
ejpam-5069	152	24	order	order	NOUN
ejpam-5069	152	25	statistics	statistic	NOUN
ejpam-5069	152	26	.	.	PUNCT
ejpam-5069	153	1	these	these	DET
ejpam-5069	153	2	statistics	statistic	NOUN
ejpam-5069	153	3	offer	offer	VERB
ejpam-5069	153	4	insightful	insightful	ADJ
ejpam-5069	153	5	information	information	NOUN
ejpam-5069	153	6	on	on	ADP
ejpam-5069	153	7	the	the	DET
ejpam-5069	153	8	distribution	distribution	NOUN
ejpam-5069	153	9	and	and	CCONJ
ejpam-5069	153	10	properties	property	NOUN
ejpam-5069	153	11	of	of	ADP
ejpam-5069	153	12	the	the	DET
ejpam-5069	153	13	data	datum	NOUN
ejpam-5069	153	14	.	.	PUNCT
ejpam-5069	154	1	then	then	ADV
ejpam-5069	154	2	by	by	ADP
ejpam-5069	154	3	the	the	DET
ejpam-5069	154	4	definition	definition	NOUN
ejpam-5069	154	5	of	of	ADP
ejpam-5069	154	6	the	the	DET
ejpam-5069	154	7	pdf	pdf	NOUN
ejpam-5069	154	8	of	of	ADP
ejpam-5069	154	9	ith	ith	PROPN
ejpam-5069	154	10	order	order	NOUN
ejpam-5069	154	11	statistics	statistic	NOUN
ejpam-5069	154	12	,	,	PUNCT
ejpam-5069	154	13	we	we	PRON
ejpam-5069	154	14	know	know	VERB
ejpam-5069	154	15	fi	fi	NOUN
ejpam-5069	154	16	:	:	PUNCT
ejpam-5069	154	17	n(x	n(x	ADJ
ejpam-5069	154	18	)	)	PUNCT
ejpam-5069	154	19	=	=	SYM
ejpam-5069	154	20	n	n	X
ejpam-5069	154	21	!	!	PUNCT
ejpam-5069	155	1	(	(	PUNCT
ejpam-5069	155	2	i−	i−	PROPN
ejpam-5069	155	3	1)!(n−	1)!(n−	NUM
ejpam-5069	155	4	i	i	PROPN
ejpam-5069	155	5	)	)	PUNCT
ejpam-5069	155	6	!	!	PUNCT
ejpam-5069	156	1	[	[	X
ejpam-5069	156	2	f	f	X
ejpam-5069	156	3	(	(	PUNCT
ejpam-5069	156	4	x)]i−1	x)]i−1	PROPN
ejpam-5069	157	1	[	[	X
ejpam-5069	157	2	1−	1−	NUM
ejpam-5069	157	3	f	f	X
ejpam-5069	157	4	(	(	PUNCT
ejpam-5069	157	5	x)]n−i	x)]n−i	PROPN
ejpam-5069	157	6	f(x	f(x	PROPN
ejpam-5069	157	7	)	)	PUNCT
ejpam-5069	157	8	.	.	PUNCT
ejpam-5069	158	1	(	(	PUNCT
ejpam-5069	158	2	16	16	NUM
ejpam-5069	158	3	)	)	PUNCT
ejpam-5069	158	4	with	with	ADP
ejpam-5069	158	5	the	the	DET
ejpam-5069	158	6	substitution	substitution	NOUN
ejpam-5069	158	7	of	of	ADP
ejpam-5069	158	8	the	the	DET
ejpam-5069	158	9	density	density	NOUN
ejpam-5069	158	10	and	and	CCONJ
ejpam-5069	158	11	distribution	distribution	NOUN
ejpam-5069	158	12	function	function	NOUN
ejpam-5069	158	13	of	of	ADP
ejpam-5069	158	14	the	the	DET
ejpam-5069	158	15	proposed	propose	VERB
ejpam-5069	158	16	ctkw	ctkw	NOUN
ejpam-5069	158	17	distribution	distribution	NOUN
ejpam-5069	158	18	in	in	ADP
ejpam-5069	158	19	equation	equation	NOUN
ejpam-5069	158	20	(	(	PUNCT
ejpam-5069	158	21	16	16	NUM
ejpam-5069	158	22	)	)	PUNCT
ejpam-5069	158	23	,	,	PUNCT
ejpam-5069	158	24	the	the	DET
ejpam-5069	158	25	obtaining	obtain	VERB
ejpam-5069	158	26	pdf	pdf	NOUN
ejpam-5069	158	27	of	of	ADP
ejpam-5069	158	28	ith	ith	PROPN
ejpam-5069	158	29	order	order	NOUN
ejpam-5069	158	30	statistics	statistic	NOUN
ejpam-5069	158	31	for	for	ADP
ejpam-5069	158	32	the	the	DET
ejpam-5069	158	33	proposed	propose	VERB
ejpam-5069	158	34	distribution	distribution	NOUN
ejpam-5069	158	35	can	can	AUX
ejpam-5069	158	36	be	be	AUX
ejpam-5069	158	37	given	give	VERB
ejpam-5069	158	38	as	as	ADP
ejpam-5069	158	39	fi	fi	NOUN
ejpam-5069	158	40	:	:	PUNCT
ejpam-5069	158	41	n(x	n(x	X
ejpam-5069	158	42	)	)	PUNCT
ejpam-5069	158	43	=	=	SYM
ejpam-5069	158	44	n	n	X
ejpam-5069	158	45	!	!	PUNCT
ejpam-5069	159	1	(	(	PUNCT
ejpam-5069	159	2	i−	i−	PROPN
ejpam-5069	159	3	1)!(n−	1)!(n−	NUM
ejpam-5069	159	4	i	i	PROPN
ejpam-5069	159	5	)	)	PUNCT
ejpam-5069	159	6	!	!	PUNCT
ejpam-5069	160	1	[	[	PUNCT
ejpam-5069	160	2	abxa−1	abxa−1	NOUN
ejpam-5069	160	3	(	(	PUNCT
ejpam-5069	160	4	1−	1−	NUM
ejpam-5069	160	5	xa)b−1	xa)b−1	NOUN
ejpam-5069	160	6	{	{	PUNCT
ejpam-5069	160	7	1−	1−	NUM
ejpam-5069	160	8	λ+	λ+	PUNCT
ejpam-5069	160	9	6λ	6λ	NUM
ejpam-5069	160	10	(	(	PUNCT
ejpam-5069	160	11	1−	1−	NUM
ejpam-5069	160	12	xa)b	xa)b	NUM
ejpam-5069	161	1	−	−	PROPN
ejpam-5069	162	1	6λ	6λ	NUM
ejpam-5069	162	2	(	(	PUNCT
ejpam-5069	162	3	1−	1−	NUM
ejpam-5069	162	4	xa)2b	xa)2b	NOUN
ejpam-5069	162	5	}	}	PUNCT
ejpam-5069	162	6	]	]	PUNCT
ejpam-5069	163	1	×	×	NOUN
ejpam-5069	164	1	[	[	X
ejpam-5069	164	2	{	{	PUNCT
ejpam-5069	164	3	(	(	PUNCT
ejpam-5069	164	4	1−	1−	NUM
ejpam-5069	164	5	xa)b	xa)b	NOUN
ejpam-5069	164	6	−	−	PROPN
ejpam-5069	164	7	1	1	NUM
ejpam-5069	164	8	}	}	PUNCT
ejpam-5069	164	9	{	{	PUNCT
ejpam-5069	164	10	(	(	PUNCT
ejpam-5069	164	11	1−	1−	NUM
ejpam-5069	164	12	xa)b	xa)b	PROPN
ejpam-5069	164	13	(	(	PUNCT
ejpam-5069	164	14	2	2	NUM
ejpam-5069	164	15	(	(	PUNCT
ejpam-5069	164	16	1−	1−	NUM
ejpam-5069	164	17	xa)b	xa)b	NOUN
ejpam-5069	164	18	−	−	PROPN
ejpam-5069	164	19	1	1	X
ejpam-5069	164	20	)	)	PUNCT
ejpam-5069	164	21	λ−	λ−	PROPN
ejpam-5069	164	22	1	1	NUM
ejpam-5069	164	23	}	}	PUNCT
ejpam-5069	164	24	]	]	PUNCT
ejpam-5069	164	25	i−1	i−1	PROPN
ejpam-5069	164	26	×	×	NOUN
ejpam-5069	164	27	[	[	PUNCT
ejpam-5069	164	28	(	(	PUNCT
ejpam-5069	164	29	1−	1−	NUM
ejpam-5069	164	30	xa)b	xa)b	PROPN
ejpam-5069	164	31	{	{	PUNCT
ejpam-5069	164	32	λ	λ	X
ejpam-5069	164	33	(	(	PUNCT
ejpam-5069	164	34	3	3	NUM
ejpam-5069	164	35	(	(	PUNCT
ejpam-5069	164	36	1−	1−	NUM
ejpam-5069	164	37	xa)b	xa)b	NOUN
ejpam-5069	164	38	−	−	NUM
ejpam-5069	164	39	2	2	NUM
ejpam-5069	164	40	(	(	PUNCT
ejpam-5069	164	41	1−	1−	NUM
ejpam-5069	164	42	xa)2b	xa)2b	NOUN
ejpam-5069	164	43	−	−	PROPN
ejpam-5069	164	44	1	1	NUM
ejpam-5069	164	45	)	)	PUNCT
ejpam-5069	164	46	+	+	CCONJ
ejpam-5069	164	47	1	1	NUM
ejpam-5069	164	48	}	}	PUNCT
ejpam-5069	164	49	]	]	PUNCT
ejpam-5069	164	50	n−i	n−i	NOUN
ejpam-5069	164	51	,	,	PUNCT
ejpam-5069	164	52	(	(	PUNCT
ejpam-5069	164	53	17	17	NUM
ejpam-5069	164	54	)	)	PUNCT
ejpam-5069	164	55	where	where	SCONJ
ejpam-5069	164	56	i	i	PRON
ejpam-5069	164	57	=	=	NOUN
ejpam-5069	164	58	1	1	NUM
ejpam-5069	164	59	,	,	PUNCT
ejpam-5069	164	60	2	2	NUM
ejpam-5069	164	61	,	,	PUNCT
ejpam-5069	164	62	...	...	PUNCT
ejpam-5069	164	63	,	,	PUNCT
ejpam-5069	164	64	n.	n.	VERB
ejpam-5069	164	65	the	the	DET
ejpam-5069	164	66	pdf	pdf	NOUN
ejpam-5069	164	67	of	of	ADP
ejpam-5069	164	68	the	the	DET
ejpam-5069	164	69	lowest	low	ADJ
ejpam-5069	164	70	order	order	NOUN
ejpam-5069	164	71	statistic	statistic	NOUN
ejpam-5069	164	72	for	for	ADP
ejpam-5069	164	73	ctkw	ctkw	ADJ
ejpam-5069	164	74	distribution	distribution	NOUN
ejpam-5069	164	75	can	can	AUX
ejpam-5069	164	76	be	be	AUX
ejpam-5069	164	77	given	give	VERB
ejpam-5069	164	78	by	by	ADP
ejpam-5069	164	79	substituting	substitute	VERB
ejpam-5069	164	80	i	i	PRON
ejpam-5069	164	81	=	=	PUNCT
ejpam-5069	164	82	1	1	NUM
ejpam-5069	164	83	in	in	ADP
ejpam-5069	164	84	(	(	PUNCT
ejpam-5069	164	85	17	17	NUM
ejpam-5069	164	86	)	)	PUNCT
ejpam-5069	164	87	as	as	ADP
ejpam-5069	164	88	f1	f1	NOUN
ejpam-5069	164	89	:	:	PUNCT
ejpam-5069	164	90	n(x	n(x	ADJ
ejpam-5069	164	91	)	)	PUNCT
ejpam-5069	164	92	=	=	SYM
ejpam-5069	164	93	n	n	PROPN
ejpam-5069	164	94	[	[	PUNCT
ejpam-5069	164	95	abxa−1	abxa−1	X
ejpam-5069	164	96	(	(	PUNCT
ejpam-5069	164	97	1−	1−	NUM
ejpam-5069	164	98	xa)b−1	xa)b−1	NOUN
ejpam-5069	164	99	{	{	PUNCT
ejpam-5069	164	100	1−	1−	NUM
ejpam-5069	164	101	λ+	λ+	PUNCT
ejpam-5069	164	102	6λ	6λ	NUM
ejpam-5069	164	103	(	(	PUNCT
ejpam-5069	164	104	1−	1−	NUM
ejpam-5069	164	105	xa)b	xa)b	NUM
ejpam-5069	165	1	−	−	PROPN
ejpam-5069	165	2	6λ	6λ	NUM
ejpam-5069	165	3	(	(	PUNCT
ejpam-5069	165	4	1−	1−	NUM
ejpam-5069	165	5	xa)2b	xa)2b	NOUN
ejpam-5069	165	6	}	}	PUNCT
ejpam-5069	165	7	]	]	PUNCT
ejpam-5069	166	1	t.	t.	PROPN
ejpam-5069	166	2	tushar	tushar	PROPN
ejpam-5069	166	3	et	et	PROPN
ejpam-5069	166	4	al	al	PROPN
ejpam-5069	166	5	.	.	PUNCT
ejpam-5069	166	6	/	/	SYM
ejpam-5069	166	7	eur	eur	PROPN
ejpam-5069	166	8	.	.	PUNCT
ejpam-5069	167	1	j.	j.	PROPN
ejpam-5069	167	2	pure	pure	PROPN
ejpam-5069	167	3	appl	appl	PROPN
ejpam-5069	167	4	.	.	PROPN
ejpam-5069	167	5	math	math	PROPN
ejpam-5069	167	6	,	,	PUNCT
ejpam-5069	167	7	17	17	NUM
ejpam-5069	167	8	(	(	PUNCT
ejpam-5069	167	9	2	2	NUM
ejpam-5069	167	10	)	)	PUNCT
ejpam-5069	167	11	(	(	PUNCT
ejpam-5069	167	12	2024	2024	NUM
ejpam-5069	167	13	)	)	PUNCT
ejpam-5069	167	14	,	,	PUNCT
ejpam-5069	167	15	616	616	NUM
ejpam-5069	167	16	-	-	SYM
ejpam-5069	167	17	637	637	NUM
ejpam-5069	167	18	626	626	NUM
ejpam-5069	167	19	×	×	NOUN
ejpam-5069	167	20	[	[	PUNCT
ejpam-5069	167	21	(	(	PUNCT
ejpam-5069	167	22	1−	1−	NUM
ejpam-5069	167	23	xa)b	xa)b	PROPN
ejpam-5069	167	24	{	{	PUNCT
ejpam-5069	168	1	λ	λ	X
ejpam-5069	168	2	(	(	PUNCT
ejpam-5069	168	3	3	3	NUM
ejpam-5069	168	4	(	(	PUNCT
ejpam-5069	168	5	1−	1−	NUM
ejpam-5069	168	6	xa)b	xa)b	NOUN
ejpam-5069	168	7	−	−	NUM
ejpam-5069	168	8	2	2	NUM
ejpam-5069	168	9	(	(	PUNCT
ejpam-5069	168	10	1−	1−	NUM
ejpam-5069	168	11	xa)2b	xa)2b	NOUN
ejpam-5069	169	1	−	−	PROPN
ejpam-5069	169	2	1	1	NUM
ejpam-5069	169	3	)	)	PUNCT
ejpam-5069	169	4	+	+	CCONJ
ejpam-5069	169	5	1	1	NUM
ejpam-5069	169	6	}	}	PUNCT
ejpam-5069	169	7	]	]	X
ejpam-5069	169	8	n−1	n−1	PROPN
ejpam-5069	169	9	.	.	PUNCT
ejpam-5069	170	1	again	again	ADV
ejpam-5069	170	2	,	,	PUNCT
ejpam-5069	170	3	the	the	DET
ejpam-5069	170	4	pdf	pdf	NOUN
ejpam-5069	170	5	of	of	ADP
ejpam-5069	170	6	the	the	DET
ejpam-5069	170	7	highest	high	ADJ
ejpam-5069	170	8	order	order	NOUN
ejpam-5069	170	9	statistic	statistic	NOUN
ejpam-5069	170	10	for	for	ADP
ejpam-5069	170	11	ctkw	ctkw	ADJ
ejpam-5069	170	12	distribution	distribution	NOUN
ejpam-5069	170	13	can	can	AUX
ejpam-5069	170	14	be	be	AUX
ejpam-5069	170	15	given	give	VERB
ejpam-5069	170	16	by	by	ADP
ejpam-5069	170	17	substituting	substitute	VERB
ejpam-5069	170	18	i	i	PRON
ejpam-5069	170	19	=	=	SYM
ejpam-5069	170	20	n	n	CCONJ
ejpam-5069	170	21	in	in	ADP
ejpam-5069	170	22	(	(	PUNCT
ejpam-5069	170	23	17	17	NUM
ejpam-5069	170	24	)	)	PUNCT
ejpam-5069	170	25	as	as	ADP
ejpam-5069	170	26	fn	fn	NOUN
ejpam-5069	170	27	:	:	PUNCT
ejpam-5069	170	28	n(x	n(x	ADJ
ejpam-5069	170	29	)	)	PUNCT
ejpam-5069	170	30	=	=	SYM
ejpam-5069	170	31	n	n	PROPN
ejpam-5069	170	32	[	[	PUNCT
ejpam-5069	170	33	abxa−1	abxa−1	X
ejpam-5069	170	34	(	(	PUNCT
ejpam-5069	170	35	1−	1−	NUM
ejpam-5069	170	36	xa)b−1	xa)b−1	NOUN
ejpam-5069	170	37	{	{	PUNCT
ejpam-5069	170	38	1−	1−	NUM
ejpam-5069	170	39	λ+	λ+	PUNCT
ejpam-5069	170	40	6λ	6λ	NUM
ejpam-5069	170	41	(	(	PUNCT
ejpam-5069	170	42	1−	1−	NUM
ejpam-5069	170	43	xa)b	xa)b	NUM
ejpam-5069	171	1	−	−	PROPN
ejpam-5069	171	2	6λ	6λ	NUM
ejpam-5069	171	3	(	(	PUNCT
ejpam-5069	171	4	1−	1−	NUM
ejpam-5069	171	5	xa)2b	xa)2b	NOUN
ejpam-5069	171	6	}	}	PUNCT
ejpam-5069	171	7	]	]	PUNCT
ejpam-5069	172	1	×	×	NOUN
ejpam-5069	173	1	[	[	X
ejpam-5069	173	2	{	{	PUNCT
ejpam-5069	173	3	(	(	PUNCT
ejpam-5069	173	4	1−	1−	NUM
ejpam-5069	173	5	xa)b	xa)b	NOUN
ejpam-5069	173	6	−	−	PROPN
ejpam-5069	173	7	1	1	NUM
ejpam-5069	173	8	}	}	PUNCT
ejpam-5069	173	9	{	{	PUNCT
ejpam-5069	173	10	(	(	PUNCT
ejpam-5069	173	11	1−	1−	NUM
ejpam-5069	173	12	xa)b	xa)b	PROPN
ejpam-5069	173	13	(	(	PUNCT
ejpam-5069	173	14	2	2	NUM
ejpam-5069	173	15	(	(	PUNCT
ejpam-5069	173	16	1−	1−	NUM
ejpam-5069	173	17	xa)b	xa)b	NOUN
ejpam-5069	173	18	−	−	PROPN
ejpam-5069	173	19	1	1	X
ejpam-5069	173	20	)	)	PUNCT
ejpam-5069	173	21	λ−	λ−	PROPN
ejpam-5069	173	22	1	1	NUM
ejpam-5069	173	23	}	}	PUNCT
ejpam-5069	173	24	]	]	X
ejpam-5069	173	25	n−1	n−1	PROPN
ejpam-5069	173	26	.	.	PUNCT
ejpam-5069	174	1	further	far	ADV
ejpam-5069	174	2	,	,	PUNCT
ejpam-5069	174	3	with	with	ADP
ejpam-5069	174	4	λ	λ	PROPN
ejpam-5069	174	5	=	=	SYM
ejpam-5069	174	6	0	0	PROPN
ejpam-5069	174	7	,	,	PUNCT
ejpam-5069	174	8	one	one	PRON
ejpam-5069	174	9	can	can	AUX
ejpam-5069	174	10	easily	easily	ADV
ejpam-5069	174	11	obtain	obtain	VERB
ejpam-5069	174	12	the	the	DET
ejpam-5069	174	13	pdf	pdf	NOUN
ejpam-5069	174	14	of	of	ADP
ejpam-5069	174	15	the	the	DET
ejpam-5069	174	16	ith	ith	PROPN
ejpam-5069	174	17	order	order	NOUN
ejpam-5069	174	18	statistics	statistic	NOUN
ejpam-5069	174	19	for	for	ADP
ejpam-5069	174	20	the	the	DET
ejpam-5069	174	21	base	base	NOUN
ejpam-5069	174	22	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	174	23	distribution	distribution	NOUN
ejpam-5069	174	24	as	as	ADP
ejpam-5069	174	25	gr	gr	NOUN
ejpam-5069	174	26	:	:	PUNCT
ejpam-5069	174	27	n(x	n(x	ADJ
ejpam-5069	174	28	)	)	PUNCT
ejpam-5069	174	29	=	=	SYM
ejpam-5069	174	30	n	n	X
ejpam-5069	174	31	!	!	PUNCT
ejpam-5069	175	1	(	(	PUNCT
ejpam-5069	175	2	i−	i−	PROPN
ejpam-5069	175	3	1	1	NUM
ejpam-5069	175	4	)	)	PUNCT
ejpam-5069	175	5	!	!	PUNCT
ejpam-5069	176	1	(	(	PUNCT
ejpam-5069	176	2	n−	n−	NOUN
ejpam-5069	176	3	i	i	NOUN
ejpam-5069	176	4	)	)	PUNCT
ejpam-5069	176	5	!	!	PUNCT
ejpam-5069	177	1	abxa−1	abxa−1	X
ejpam-5069	177	2	(	(	PUNCT
ejpam-5069	177	3	1−	1−	NUM
ejpam-5069	177	4	xa)b−1	xa)b−1	NOUN
ejpam-5069	177	5	[	[	PUNCT
ejpam-5069	177	6	1−	1−	NUM
ejpam-5069	177	7	(	(	PUNCT
ejpam-5069	177	8	1−	1−	NUM
ejpam-5069	177	9	xa)b	xa)b	PROPN
ejpam-5069	178	1	]	]	X
ejpam-5069	178	2	i−1	i−1	PROPN
ejpam-5069	178	3	[	[	PUNCT
ejpam-5069	178	4	(	(	PUNCT
ejpam-5069	178	5	1−	1−	NUM
ejpam-5069	178	6	xa)b	xa)b	NUM
ejpam-5069	178	7	]	]	X
ejpam-5069	178	8	n−i	n−i	PROPN
ejpam-5069	178	9	.	.	PUNCT
ejpam-5069	179	1	the	the	DET
ejpam-5069	179	2	density	density	NOUN
ejpam-5069	179	3	function	function	NOUN
ejpam-5069	179	4	of	of	ADP
ejpam-5069	179	5	the	the	DET
ejpam-5069	179	6	kth	kth	PROPN
ejpam-5069	179	7	order	order	NOUN
ejpam-5069	179	8	statistic	statistic	NOUN
ejpam-5069	179	9	for	for	ADP
ejpam-5069	179	10	the	the	DET
ejpam-5069	179	11	proposed	propose	VERB
ejpam-5069	179	12	ctkw	ctkw	NOUN
ejpam-5069	179	13	distribution	distribution	NOUN
ejpam-5069	179	14	can	can	AUX
ejpam-5069	179	15	be	be	AUX
ejpam-5069	179	16	obtained	obtain	VERB
ejpam-5069	179	17	by	by	ADP
ejpam-5069	179	18	using	use	VERB
ejpam-5069	179	19	the	the	DET
ejpam-5069	179	20	following	follow	VERB
ejpam-5069	179	21	formula	formula	NOUN
ejpam-5069	179	22	e(xk	e(xk	VERB
ejpam-5069	179	23	i	i	NOUN
ejpam-5069	179	24	:	:	PUNCT
ejpam-5069	179	25	n	n	CCONJ
ejpam-5069	179	26	)	)	PUNCT
ejpam-5069	179	27	=	=	SYM
ejpam-5069	180	1	∫	∫	PROPN
ejpam-5069	180	2	1	1	NUM
ejpam-5069	180	3	0	0	NUM
ejpam-5069	180	4	xki	xki	PROPN
ejpam-5069	180	5	fi	fi	NOUN
ejpam-5069	180	6	:	:	PUNCT
ejpam-5069	180	7	n	n	PRON
ejpam-5069	180	8	(	(	PUNCT
ejpam-5069	180	9	x	x	X
ejpam-5069	180	10	)	)	PUNCT
ejpam-5069	180	11	dx	dx	PROPN
ejpam-5069	180	12	.	.	PROPN
ejpam-5069	180	13	5	5	NUM
ejpam-5069	180	14	.	.	X
ejpam-5069	180	15	estimation	estimation	NOUN
ejpam-5069	180	16	of	of	ADP
ejpam-5069	180	17	the	the	DET
ejpam-5069	180	18	parameters	parameter	NOUN
ejpam-5069	180	19	and	and	CCONJ
ejpam-5069	180	20	inference	inference	NOUN
ejpam-5069	180	21	using	use	VERB
ejpam-5069	180	22	maximum	maximum	ADJ
ejpam-5069	180	23	likelihood	likelihood	NOUN
ejpam-5069	180	24	estimation	estimation	NOUN
ejpam-5069	180	25	(	(	PUNCT
ejpam-5069	180	26	mle	mle	PROPN
ejpam-5069	180	27	)	)	PUNCT
ejpam-5069	180	28	,	,	PUNCT
ejpam-5069	180	29	the	the	DET
ejpam-5069	180	30	ctkw	ctkw	ADJ
ejpam-5069	180	31	distribution	distribution	NOUN
ejpam-5069	180	32	’s	’s	PART
ejpam-5069	180	33	parameters	parameter	NOUN
ejpam-5069	180	34	are	be	AUX
ejpam-5069	180	35	estimated	estimate	VERB
ejpam-5069	180	36	in	in	ADP
ejpam-5069	180	37	this	this	DET
ejpam-5069	180	38	section	section	NOUN
ejpam-5069	180	39	.	.	PUNCT
ejpam-5069	181	1	a	a	DET
ejpam-5069	181	2	frequent	frequent	ADJ
ejpam-5069	181	3	and	and	CCONJ
ejpam-5069	181	4	effective	effective	ADJ
ejpam-5069	181	5	strategy	strategy	NOUN
ejpam-5069	181	6	in	in	ADP
ejpam-5069	181	7	statistics	statistic	NOUN
ejpam-5069	181	8	is	be	AUX
ejpam-5069	181	9	mle	mle	PROPN
ejpam-5069	181	10	model	model	NOUN
ejpam-5069	181	11	parameter	parameter	PROPN
ejpam-5069	181	12	estimation	estimation	PROPN
ejpam-5069	181	13	.	.	PUNCT
ejpam-5069	182	1	the	the	DET
ejpam-5069	182	2	goal	goal	NOUN
ejpam-5069	182	3	of	of	ADP
ejpam-5069	182	4	mle	mle	PROPN
ejpam-5069	182	5	is	be	AUX
ejpam-5069	182	6	to	to	PART
ejpam-5069	182	7	determine	determine	VERB
ejpam-5069	182	8	the	the	DET
ejpam-5069	182	9	parameter	parameter	NOUN
ejpam-5069	182	10	values	value	NOUN
ejpam-5069	182	11	that	that	PRON
ejpam-5069	182	12	maximize	maximize	VERB
ejpam-5069	182	13	the	the	DET
ejpam-5069	182	14	likelihood	likelihood	NOUN
ejpam-5069	182	15	of	of	ADP
ejpam-5069	182	16	witnessing	witness	VERB
ejpam-5069	182	17	the	the	DET
ejpam-5069	182	18	provided	provide	VERB
ejpam-5069	182	19	data	datum	NOUN
ejpam-5069	182	20	under	under	ADP
ejpam-5069	182	21	the	the	DET
ejpam-5069	182	22	presumptive	presumptive	ADJ
ejpam-5069	182	23	statistical	statistical	ADJ
ejpam-5069	182	24	model	model	NOUN
ejpam-5069	182	25	.	.	PUNCT
ejpam-5069	183	1	take	take	VERB
ejpam-5069	183	2	into	into	ADP
ejpam-5069	183	3	consideration	consideration	NOUN
ejpam-5069	183	4	a	a	DET
ejpam-5069	183	5	random	random	ADJ
ejpam-5069	183	6	sample	sample	NOUN
ejpam-5069	183	7	of	of	ADP
ejpam-5069	183	8	size	size	NOUN
ejpam-5069	183	9	n	n	CCONJ
ejpam-5069	183	10	from	from	ADP
ejpam-5069	183	11	the	the	DET
ejpam-5069	183	12	suggested	suggest	VERB
ejpam-5069	183	13	ctkw	ctkw	NOUN
ejpam-5069	183	14	distribution	distribution	NOUN
ejpam-5069	183	15	,	,	PUNCT
ejpam-5069	183	16	with	with	ADP
ejpam-5069	183	17	the	the	DET
ejpam-5069	183	18	likelihood	likelihood	NOUN
ejpam-5069	183	19	function	function	NOUN
ejpam-5069	183	20	as	as	ADP
ejpam-5069	183	21	l	l	NOUN
ejpam-5069	183	22	=	=	PROPN
ejpam-5069	183	23	n∏	n∏	PROPN
ejpam-5069	183	24	i=1	i=1	X
ejpam-5069	184	1	[	[	PUNCT
ejpam-5069	184	2	abxa−1	abxa−1	NOUN
ejpam-5069	184	3	i	i	PRON
ejpam-5069	184	4	(	(	PUNCT
ejpam-5069	184	5	1−	1−	NUM
ejpam-5069	184	6	xai	xai	PROPN
ejpam-5069	184	7	)	)	PUNCT
ejpam-5069	184	8	b−1	b−1	PROPN
ejpam-5069	184	9	{	{	PUNCT
ejpam-5069	184	10	1−	1−	NUM
ejpam-5069	184	11	λ+	λ+	PUNCT
ejpam-5069	184	12	6λ	6λ	NUM
ejpam-5069	184	13	(	(	PUNCT
ejpam-5069	184	14	1−	1−	NUM
ejpam-5069	184	15	xai	xai	PROPN
ejpam-5069	184	16	)	)	PUNCT
ejpam-5069	184	17	b	b	PROPN
ejpam-5069	184	18	−	−	PROPN
ejpam-5069	184	19	6λ	6λ	NUM
ejpam-5069	184	20	(	(	PUNCT
ejpam-5069	184	21	1−	1−	NUM
ejpam-5069	184	22	xai	xai	PROPN
ejpam-5069	184	23	)	)	PUNCT
ejpam-5069	184	24	2b	2b	NOUN
ejpam-5069	184	25	}	}	PUNCT
ejpam-5069	184	26	]	]	PUNCT
ejpam-5069	184	27	.	.	PUNCT
ejpam-5069	185	1	then	then	ADV
ejpam-5069	185	2	the	the	DET
ejpam-5069	185	3	corresponding	corresponding	ADJ
ejpam-5069	185	4	log	log	NOUN
ejpam-5069	185	5	-	-	PUNCT
ejpam-5069	185	6	likelihood	likelihood	NOUN
ejpam-5069	185	7	(	(	PUNCT
ejpam-5069	185	8	ll	ll	NOUN
ejpam-5069	185	9	)	)	PUNCT
ejpam-5069	185	10	function	function	NOUN
ejpam-5069	185	11	l	l	NOUN
ejpam-5069	185	12	=	=	PUNCT
ejpam-5069	185	13	ln(l	ln(l	NUM
ejpam-5069	185	14	)	)	PUNCT
ejpam-5069	185	15	.	.	PUNCT
ejpam-5069	186	1	after	after	ADP
ejpam-5069	186	2	some	some	DET
ejpam-5069	186	3	simplification	simplification	NOUN
ejpam-5069	186	4	,	,	PUNCT
ejpam-5069	186	5	the	the	DET
ejpam-5069	186	6	ll	ll	NOUN
ejpam-5069	186	7	function	function	NOUN
ejpam-5069	186	8	of	of	ADP
ejpam-5069	186	9	the	the	DET
ejpam-5069	186	10	proposed	propose	VERB
ejpam-5069	186	11	ctkw	ctkw	NOUN
ejpam-5069	186	12	distribution	distribution	NOUN
ejpam-5069	186	13	can	can	AUX
ejpam-5069	186	14	be	be	AUX
ejpam-5069	186	15	given	give	VERB
ejpam-5069	186	16	as	as	ADP
ejpam-5069	186	17	l	l	NOUN
ejpam-5069	186	18	=	=	SYM
ejpam-5069	186	19	n	n	X
ejpam-5069	186	20	log(a	log(a	PROPN
ejpam-5069	186	21	)	)	PUNCT
ejpam-5069	186	22	+	+	CCONJ
ejpam-5069	186	23	n	n	X
ejpam-5069	186	24	log(b	log(b	PROPN
ejpam-5069	186	25	)	)	PUNCT
ejpam-5069	187	1	+	+	CCONJ
ejpam-5069	187	2	(	(	PUNCT
ejpam-5069	187	3	a−	a−	PROPN
ejpam-5069	187	4	1	1	NUM
ejpam-5069	187	5	)	)	PUNCT
ejpam-5069	187	6	n∑	n∑	NOUN
ejpam-5069	188	1	i=1	i=1	PROPN
ejpam-5069	188	2	log	log	NOUN
ejpam-5069	188	3	(	(	PUNCT
ejpam-5069	188	4	xi	xi	PROPN
ejpam-5069	188	5	)	)	PUNCT
ejpam-5069	188	6	+	+	CCONJ
ejpam-5069	188	7	(	(	PUNCT
ejpam-5069	188	8	b−	b−	NOUN
ejpam-5069	188	9	1	1	NUM
ejpam-5069	188	10	)	)	PUNCT
ejpam-5069	188	11	n∑	n∑	NOUN
ejpam-5069	189	1	i=1	i=1	PROPN
ejpam-5069	189	2	log	log	NOUN
ejpam-5069	189	3	(	(	PUNCT
ejpam-5069	189	4	1−	1−	NUM
ejpam-5069	189	5	xai	xai	PROPN
ejpam-5069	189	6	)	)	PUNCT
ejpam-5069	190	1	+	+	CCONJ
ejpam-5069	190	2	n∑	n∑	X
ejpam-5069	190	3	i=1	i=1	PROPN
ejpam-5069	190	4	log	log	NOUN
ejpam-5069	190	5	[	[	PUNCT
ejpam-5069	190	6	1−	1−	NUM
ejpam-5069	190	7	λ+	λ+	PUNCT
ejpam-5069	190	8	6λ	6λ	NUM
ejpam-5069	190	9	(	(	PUNCT
ejpam-5069	190	10	1−	1−	NUM
ejpam-5069	190	11	xai	xai	PROPN
ejpam-5069	190	12	)	)	PUNCT
ejpam-5069	191	1	b	b	PROPN
ejpam-5069	192	1	−	−	PROPN
ejpam-5069	192	2	6λ	6λ	NUM
ejpam-5069	192	3	(	(	PUNCT
ejpam-5069	192	4	1−	1−	NUM
ejpam-5069	192	5	xai	xai	PROPN
ejpam-5069	192	6	)	)	PUNCT
ejpam-5069	192	7	2b	2b	NOUN
ejpam-5069	192	8	]	]	PUNCT
ejpam-5069	192	9	.	.	PUNCT
ejpam-5069	193	1	(	(	PUNCT
ejpam-5069	193	2	18	18	NUM
ejpam-5069	193	3	)	)	PUNCT
ejpam-5069	193	4	t.	t.	NOUN
ejpam-5069	193	5	tushar	tushar	PROPN
ejpam-5069	193	6	et	et	PROPN
ejpam-5069	193	7	al	al	PROPN
ejpam-5069	193	8	.	.	PUNCT
ejpam-5069	193	9	/	/	SYM
ejpam-5069	193	10	eur	eur	PROPN
ejpam-5069	193	11	.	.	PUNCT
ejpam-5069	194	1	j.	j.	PROPN
ejpam-5069	194	2	pure	pure	PROPN
ejpam-5069	194	3	appl	appl	PROPN
ejpam-5069	194	4	.	.	PROPN
ejpam-5069	194	5	math	math	PROPN
ejpam-5069	194	6	,	,	PUNCT
ejpam-5069	194	7	17	17	NUM
ejpam-5069	194	8	(	(	PUNCT
ejpam-5069	194	9	2	2	NUM
ejpam-5069	194	10	)	)	PUNCT
ejpam-5069	194	11	(	(	PUNCT
ejpam-5069	194	12	2024	2024	NUM
ejpam-5069	194	13	)	)	PUNCT
ejpam-5069	194	14	,	,	PUNCT
ejpam-5069	194	15	616	616	NUM
ejpam-5069	194	16	-	-	SYM
ejpam-5069	194	17	637	637	NUM
ejpam-5069	194	18	627	627	NUM
ejpam-5069	194	19	the	the	DET
ejpam-5069	194	20	ll	ll	NOUN
ejpam-5069	194	21	function	function	NOUN
ejpam-5069	194	22	must	must	AUX
ejpam-5069	194	23	now	now	ADV
ejpam-5069	194	24	maximize	maximize	VERB
ejpam-5069	194	25	for	for	SCONJ
ejpam-5069	194	26	mle	mle	PROPN
ejpam-5069	194	27	to	to	PART
ejpam-5069	194	28	estimate	estimate	VERB
ejpam-5069	194	29	the	the	DET
ejpam-5069	194	30	parameters	parameter	NOUN
ejpam-5069	194	31	.	.	PUNCT
ejpam-5069	195	1	in	in	ADP
ejpam-5069	195	2	order	order	NOUN
ejpam-5069	195	3	to	to	PART
ejpam-5069	195	4	do	do	AUX
ejpam-5069	195	5	this	this	PRON
ejpam-5069	195	6	,	,	PUNCT
ejpam-5069	195	7	consider	consider	VERB
ejpam-5069	195	8	the	the	DET
ejpam-5069	195	9	derivatives	derivative	NOUN
ejpam-5069	195	10	of	of	ADP
ejpam-5069	195	11	(	(	PUNCT
ejpam-5069	195	12	18	18	NUM
ejpam-5069	195	13	)	)	PUNCT
ejpam-5069	195	14	with	with	ADP
ejpam-5069	195	15	respect	respect	NOUN
ejpam-5069	195	16	to	to	ADP
ejpam-5069	195	17	the	the	DET
ejpam-5069	195	18	unknowable	unknowable	ADJ
ejpam-5069	195	19	parameters	parameter	NOUN
ejpam-5069	195	20	a	a	DET
ejpam-5069	195	21	,	,	PUNCT
ejpam-5069	195	22	b	b	NOUN
ejpam-5069	195	23	,	,	PUNCT
ejpam-5069	195	24	and	and	CCONJ
ejpam-5069	195	25	λ	λ	NOUN
ejpam-5069	195	26	,	,	PUNCT
ejpam-5069	195	27	and	and	CCONJ
ejpam-5069	195	28	proceed	proceed	VERB
ejpam-5069	195	29	as	as	SCONJ
ejpam-5069	195	30	follows	follow	VERB
ejpam-5069	195	31	.	.	PUNCT
ejpam-5069	196	1	∂l	∂l	VERB
ejpam-5069	197	1	∂a	∂a	NOUN
ejpam-5069	198	1	=	=	NOUN
ejpam-5069	198	2	n	n	PRON
ejpam-5069	199	1	a	a	DET
ejpam-5069	199	2	+	+	NOUN
ejpam-5069	199	3	n∑	n∑	NOUN
ejpam-5069	199	4	i=1	i=1	PROPN
ejpam-5069	199	5	log	log	NOUN
ejpam-5069	199	6	(	(	PUNCT
ejpam-5069	199	7	xi)−	xi)−	PROPN
ejpam-5069	199	8	(	(	PUNCT
ejpam-5069	199	9	b−	b−	NOUN
ejpam-5069	199	10	1	1	NUM
ejpam-5069	199	11	)	)	PUNCT
ejpam-5069	199	12	n∑	n∑	NOUN
ejpam-5069	199	13	i=1	i=1	PROPN
ejpam-5069	200	1	xai	xai	PROPN
ejpam-5069	200	2	log	log	PROPN
ejpam-5069	200	3	(	(	PUNCT
ejpam-5069	200	4	xi	xi	PROPN
ejpam-5069	200	5	)	)	PUNCT
ejpam-5069	200	6	1−	1−	NUM
ejpam-5069	200	7	xai	xai	PROPN
ejpam-5069	201	1	+	+	PROPN
ejpam-5069	201	2	n∑	n∑	PROPN
ejpam-5069	201	3	i=1	i=1	PROPN
ejpam-5069	202	1	12bλxai	12bλxai	NUM
ejpam-5069	202	2	log	log	NOUN
ejpam-5069	202	3	(	(	PUNCT
ejpam-5069	202	4	xi	xi	PROPN
ejpam-5069	202	5	)	)	PUNCT
ejpam-5069	202	6	(	(	PUNCT
ejpam-5069	202	7	1−	1−	NUM
ejpam-5069	202	8	xai	xai	PROPN
ejpam-5069	202	9	)	)	PUNCT
ejpam-5069	202	10	2b−1	2b−1	PROPN
ejpam-5069	202	11	−	−	PROPN
ejpam-5069	202	12	6bλxai	6bλxai	NUM
ejpam-5069	202	13	log	log	NOUN
ejpam-5069	202	14	(	(	PUNCT
ejpam-5069	202	15	xi	xi	PROPN
ejpam-5069	202	16	)	)	PUNCT
ejpam-5069	202	17	(	(	PUNCT
ejpam-5069	202	18	1−	1−	NUM
ejpam-5069	202	19	xai	xai	PROPN
ejpam-5069	202	20	)	)	PUNCT
ejpam-5069	202	21	b−1	b−1	PROPN
ejpam-5069	202	22	1−	1−	NUM
ejpam-5069	202	23	λ+	λ+	PUNCT
ejpam-5069	202	24	6λ	6λ	NUM
ejpam-5069	202	25	(	(	PUNCT
ejpam-5069	202	26	1−	1−	NUM
ejpam-5069	202	27	xai	xai	PROPN
ejpam-5069	202	28	)	)	PUNCT
ejpam-5069	203	1	b	b	PROPN
ejpam-5069	204	1	−	−	PROPN
ejpam-5069	204	2	6λ	6λ	NUM
ejpam-5069	204	3	(	(	PUNCT
ejpam-5069	204	4	1−	1−	NUM
ejpam-5069	204	5	xai	xai	PROPN
ejpam-5069	204	6	)	)	PUNCT
ejpam-5069	204	7	2b	2b	NOUN
ejpam-5069	204	8	,	,	PUNCT
ejpam-5069	204	9	∂l	∂l	PROPN
ejpam-5069	204	10	∂b	∂b	PROPN
ejpam-5069	204	11	=	=	SYM
ejpam-5069	204	12	n	n	PRON
ejpam-5069	204	13	b	b	PROPN
ejpam-5069	205	1	+	+	NUM
ejpam-5069	205	2	n∑	n∑	PROPN
ejpam-5069	205	3	i=1	i=1	PROPN
ejpam-5069	205	4	log	log	NOUN
ejpam-5069	205	5	(	(	PUNCT
ejpam-5069	205	6	1−	1−	NUM
ejpam-5069	205	7	xai	xai	PROPN
ejpam-5069	205	8	)	)	PUNCT
ejpam-5069	206	1	+	+	CCONJ
ejpam-5069	206	2	n∑	n∑	X
ejpam-5069	206	3	i=1	i=1	PROPN
ejpam-5069	206	4	6λ	6λ	PROPN
ejpam-5069	206	5	(	(	PUNCT
ejpam-5069	206	6	1−	1−	NUM
ejpam-5069	206	7	xai	xai	PROPN
ejpam-5069	206	8	)	)	PUNCT
ejpam-5069	207	1	b	b	PROPN
ejpam-5069	207	2	log	log	NOUN
ejpam-5069	207	3	(	(	PUNCT
ejpam-5069	207	4	1−	1−	NUM
ejpam-5069	207	5	xai	xai	PROPN
ejpam-5069	207	6	)	)	PUNCT
ejpam-5069	207	7	−	−	PROPN
ejpam-5069	207	8	12λ	12λ	NUM
ejpam-5069	207	9	(	(	PUNCT
ejpam-5069	207	10	1−	1−	NUM
ejpam-5069	207	11	xai	xai	PROPN
ejpam-5069	207	12	)	)	PUNCT
ejpam-5069	207	13	2b	2b	NUM
ejpam-5069	207	14	log	log	NOUN
ejpam-5069	207	15	(	(	PUNCT
ejpam-5069	207	16	1−	1−	NUM
ejpam-5069	207	17	xai	xai	PROPN
ejpam-5069	207	18	)	)	PUNCT
ejpam-5069	207	19	1−	1−	NUM
ejpam-5069	207	20	λ+	λ+	PUNCT
ejpam-5069	207	21	6λ	6λ	NUM
ejpam-5069	207	22	(	(	PUNCT
ejpam-5069	207	23	1−	1−	NUM
ejpam-5069	207	24	xai	xai	PROPN
ejpam-5069	207	25	)	)	PUNCT
ejpam-5069	207	26	b	b	PROPN
ejpam-5069	208	1	−	−	PROPN
ejpam-5069	208	2	6λ	6λ	NUM
ejpam-5069	208	3	(	(	PUNCT
ejpam-5069	208	4	1−	1−	NUM
ejpam-5069	208	5	xai	xai	PROPN
ejpam-5069	208	6	)	)	PUNCT
ejpam-5069	208	7	2b	2b	NOUN
ejpam-5069	208	8	,	,	PUNCT
ejpam-5069	208	9	and	and	CCONJ
ejpam-5069	208	10	∂l	∂l	PROPN
ejpam-5069	208	11	∂λ	∂λ	PROPN
ejpam-5069	208	12	=	=	SYM
ejpam-5069	208	13	n∑	n∑	PROPN
ejpam-5069	208	14	i=1	i=1	PROPN
ejpam-5069	208	15	6	6	NUM
ejpam-5069	208	16	(	(	PUNCT
ejpam-5069	208	17	1−	1−	NUM
ejpam-5069	208	18	xai	xai	PROPN
ejpam-5069	208	19	)	)	PUNCT
ejpam-5069	209	1	b	b	PROPN
ejpam-5069	210	1	−	−	NOUN
ejpam-5069	210	2	6	6	NUM
ejpam-5069	210	3	(	(	PUNCT
ejpam-5069	210	4	1−	1−	NUM
ejpam-5069	210	5	xai	xai	PROPN
ejpam-5069	210	6	)	)	PUNCT
ejpam-5069	210	7	2b	2b	NOUN
ejpam-5069	211	1	−	−	PROPN
ejpam-5069	211	2	1	1	NUM
ejpam-5069	211	3	1−	1−	NUM
ejpam-5069	211	4	λ+	λ+	PUNCT
ejpam-5069	211	5	6λ	6λ	NUM
ejpam-5069	211	6	(	(	PUNCT
ejpam-5069	211	7	1−	1−	NUM
ejpam-5069	211	8	xai	xai	PROPN
ejpam-5069	211	9	)	)	PUNCT
ejpam-5069	212	1	b	b	PROPN
ejpam-5069	213	1	−	−	PROPN
ejpam-5069	213	2	6λ	6λ	NUM
ejpam-5069	213	3	(	(	PUNCT
ejpam-5069	213	4	1−	1−	NUM
ejpam-5069	213	5	xai	xai	PROPN
ejpam-5069	213	6	)	)	PUNCT
ejpam-5069	213	7	2b	2b	NOUN
ejpam-5069	213	8	.	.	PUNCT
ejpam-5069	214	1	now	now	ADV
ejpam-5069	214	2	,	,	PUNCT
ejpam-5069	214	3	by	by	ADP
ejpam-5069	214	4	setting	set	VERB
ejpam-5069	214	5	∂l	∂l	NOUN
ejpam-5069	214	6	∂a	∂a	NOUN
ejpam-5069	214	7	=	=	SYM
ejpam-5069	214	8	0	0	PROPN
ejpam-5069	214	9	,	,	PUNCT
ejpam-5069	214	10	∂l	∂l	PROPN
ejpam-5069	214	11	∂b	∂b	PROPN
ejpam-5069	214	12	=	=	SYM
ejpam-5069	214	13	0	0	NUM
ejpam-5069	214	14	,	,	PUNCT
ejpam-5069	214	15	and	and	CCONJ
ejpam-5069	214	16	∂l	∂l	PROPN
ejpam-5069	214	17	∂λ	∂λ	PROPN
ejpam-5069	214	18	=	=	SYM
ejpam-5069	214	19	0	0	NUM
ejpam-5069	214	20	,	,	PUNCT
ejpam-5069	214	21	and	and	CCONJ
ejpam-5069	214	22	simultaneously	simultaneously	ADV
ejpam-5069	214	23	solving	solve	VERB
ejpam-5069	214	24	the	the	DET
ejpam-5069	214	25	resulting	result	VERB
ejpam-5069	214	26	equations	equation	NOUN
ejpam-5069	214	27	,	,	PUNCT
ejpam-5069	214	28	the	the	DET
ejpam-5069	214	29	maximum	maximum	ADJ
ejpam-5069	214	30	likelihood	likelihood	NOUN
ejpam-5069	214	31	estimate	estimate	NOUN
ejpam-5069	214	32	of	of	ADP
ejpam-5069	214	33	the	the	DET
ejpam-5069	214	34	expression	expression	NOUN
ejpam-5069	214	35	ω̂	ω̂	PUNCT
ejpam-5069	214	36	=	=	SYM
ejpam-5069	214	37	(	(	PUNCT
ejpam-5069	214	38	â	â	PROPN
ejpam-5069	214	39	,	,	PUNCT
ejpam-5069	214	40	b̂	b̂	NOUN
ejpam-5069	214	41	,	,	PUNCT
ejpam-5069	214	42	λ̂	λ̂	X
ejpam-5069	214	43	)	)	PUNCT
ejpam-5069	215	1	′	′	NUM
ejpam-5069	215	2	of	of	ADP
ejpam-5069	215	3	ω	ω	PROPN
ejpam-5069	215	4	=	=	SYM
ejpam-5069	215	5	(	(	PUNCT
ejpam-5069	215	6	a	a	DET
ejpam-5069	215	7	,	,	PUNCT
ejpam-5069	215	8	b	b	NOUN
ejpam-5069	215	9	,	,	PUNCT
ejpam-5069	215	10	λ)′	λ)′	PROPN
ejpam-5069	215	11	is	be	AUX
ejpam-5069	215	12	discovered	discover	VERB
ejpam-5069	215	13	.	.	PUNCT
ejpam-5069	216	1	the	the	DET
ejpam-5069	216	2	resulting	result	VERB
ejpam-5069	216	3	equations	equation	NOUN
ejpam-5069	216	4	could	could	AUX
ejpam-5069	216	5	not	not	PART
ejpam-5069	216	6	be	be	AUX
ejpam-5069	216	7	solved	solve	VERB
ejpam-5069	216	8	analytically	analytically	ADV
ejpam-5069	216	9	,	,	PUNCT
ejpam-5069	216	10	thus	thus	ADV
ejpam-5069	216	11	we	we	PRON
ejpam-5069	216	12	used	use	VERB
ejpam-5069	216	13	the	the	DET
ejpam-5069	216	14	r	r	NOUN
ejpam-5069	216	15	packages	package	NOUN
ejpam-5069	216	16	”	"	PUNCT
ejpam-5069	216	17	bbmle	bbmle	NOUN
ejpam-5069	216	18	”	"	PUNCT
ejpam-5069	216	19	,	,	PUNCT
ejpam-5069	216	20	bolker	bolker	NOUN
ejpam-5069	216	21	and	and	CCONJ
ejpam-5069	216	22	bolker	bolker	NOUN
ejpam-5069	217	1	[	[	X
ejpam-5069	217	2	3	3	NUM
ejpam-5069	217	3	]	]	PUNCT
ejpam-5069	217	4	to	to	PART
ejpam-5069	217	5	solve	solve	VERB
ejpam-5069	217	6	them	they	PRON
ejpam-5069	217	7	numerically	numerically	ADV
ejpam-5069	217	8	.	.	PUNCT
ejpam-5069	218	1	the	the	DET
ejpam-5069	218	2	asymptotic	asymptotic	ADJ
ejpam-5069	218	3	distribution	distribution	NOUN
ejpam-5069	218	4	of	of	ADP
ejpam-5069	218	5	the	the	DET
ejpam-5069	218	6	mle	mle	NOUN
ejpam-5069	218	7	as	as	ADP
ejpam-5069	218	8	n	n	PROPN
ejpam-5069	218	9	→	→	SYM
ejpam-5069	218	10	∞	∞	PROPN
ejpam-5069	218	11	,	,	PUNCT
ejpam-5069	218	12	is	be	AUX
ejpam-5069	218	13	given	give	VERB
ejpam-5069	218	14	by	by	ADP
ejpam-5069	218	15			PROPN
ejpam-5069	218	16	â	â	NUM
ejpam-5069	218	17	b̂	b̂	NOUN
ejpam-5069	218	18	λ̂	λ̂	X
ejpam-5069	218	19			AUX
ejpam-5069	218	20	∼	∼	NOUN
ejpam-5069	218	21	n	n	NOUN
ejpam-5069	218	22			VERB
ejpam-5069	218	23	a	a	DET
ejpam-5069	218	24	b	b	X
ejpam-5069	218	25	λ	λ	X
ejpam-5069	218	26			PROPN
ejpam-5069	218	27	,	,	PUNCT
ejpam-5069	218	28			PROPN
ejpam-5069	218	29	v̂11	v̂11	PROPN
ejpam-5069	218	30	v̂12	v̂12	PROPN
ejpam-5069	218	31	v̂13	v̂13	NOUN
ejpam-5069	218	32	v̂21	v̂21	PROPN
ejpam-5069	218	33	v̂22	v̂22	PROPN
ejpam-5069	218	34	v̂23	v̂23	PROPN
ejpam-5069	218	35	v̂31	v̂31	PROPN
ejpam-5069	218	36	v̂32	v̂32	NOUN
ejpam-5069	218	37	v̂33	v̂33	NOUN
ejpam-5069	218	38			PROPN
ejpam-5069	218	39	.	.	PUNCT
ejpam-5069	219	1	the	the	DET
ejpam-5069	219	2	estimates	estimate	NOUN
ejpam-5069	219	3	,	,	PUNCT
ejpam-5069	219	4	â	â	ADV
ejpam-5069	219	5	,	,	PUNCT
ejpam-5069	219	6	b̂	b̂	NOUN
ejpam-5069	219	7	,	,	PUNCT
ejpam-5069	219	8	and	and	CCONJ
ejpam-5069	219	9	λ̂	λ̂	PRON
ejpam-5069	219	10	’s	’s	PART
ejpam-5069	219	11	asymptotic	asymptotic	ADJ
ejpam-5069	219	12	variance	variance	NOUN
ejpam-5069	219	13	-	-	PUNCT
ejpam-5069	219	14	covariance	covariance	NOUN
ejpam-5069	219	15	matrix	matrix	NOUN
ejpam-5069	219	16	v	v	ADP
ejpam-5069	219	17	=	=	SYM
ejpam-5069	219	18			NOUN
ejpam-5069	219	19	v11	v11	NOUN
ejpam-5069	219	20	v12	v12	VERB
ejpam-5069	219	21	v13	v13	NOUN
ejpam-5069	219	22	v21	v21	NOUN
ejpam-5069	219	23	v22	v22	PROPN
ejpam-5069	219	24	v23	v23	PROPN
ejpam-5069	219	25	v31	v31	PROPN
ejpam-5069	219	26	v32	v32	VERB
ejpam-5069	219	27	v33	v33	NOUN
ejpam-5069	219	28			NOUN
ejpam-5069	219	29	is	be	AUX
ejpam-5069	219	30	produced	produce	VERB
ejpam-5069	219	31	by	by	ADP
ejpam-5069	219	32	inverting	invert	VERB
ejpam-5069	219	33	the	the	DET
ejpam-5069	219	34	hessian	hessian	ADJ
ejpam-5069	219	35	matrix	matrix	NOUN
ejpam-5069	219	36	(	(	PUNCT
ejpam-5069	219	37	see	see	VERB
ejpam-5069	219	38	appendix	appendix	NOUN
ejpam-5069	219	39	)	)	PUNCT
ejpam-5069	219	40	.	.	PUNCT
ejpam-5069	220	1	for	for	ADP
ejpam-5069	220	2	a	a	DET
ejpam-5069	220	3	,	,	PUNCT
ejpam-5069	220	4	b	b	NOUN
ejpam-5069	220	5	,	,	PUNCT
ejpam-5069	220	6	and	and	CCONJ
ejpam-5069	220	7	λ	λ	PROPN
ejpam-5069	220	8	,	,	PUNCT
ejpam-5069	220	9	the	the	DET
ejpam-5069	220	10	following	follow	VERB
ejpam-5069	220	11	formulas	formula	NOUN
ejpam-5069	220	12	provide	provide	VERB
ejpam-5069	220	13	roughly	roughly	ADV
ejpam-5069	220	14	100(1	100(1	NUM
ejpam-5069	220	15	-	-	PUNCT
ejpam-5069	220	16	α)%	α)%	NOUN
ejpam-5069	220	17	two	two	NUM
ejpam-5069	220	18	-	-	PUNCT
ejpam-5069	220	19	sided	sided	ADJ
ejpam-5069	220	20	confidence	confidence	NOUN
ejpam-5069	220	21	intervals	interval	NOUN
ejpam-5069	220	22	:	:	PUNCT
ejpam-5069	220	23	â±	â±	PROPN
ejpam-5069	220	24	zα	zα	NUM
ejpam-5069	220	25	2	2	NUM
ejpam-5069	220	26	√	√	PROPN
ejpam-5069	220	27	v̂11	v̂11	NOUN
ejpam-5069	220	28	,	,	PUNCT
ejpam-5069	220	29	b̂±	b̂±	INTJ
ejpam-5069	220	30	zα	zα	INTJ
ejpam-5069	220	31	2	2	NUM
ejpam-5069	220	32	√	√	NOUN
ejpam-5069	220	33	v̂22	v̂22	NOUN
ejpam-5069	220	34	,	,	PUNCT
ejpam-5069	220	35	and	and	CCONJ
ejpam-5069	220	36	λ̂±	λ̂±	INTJ
ejpam-5069	221	1	zα	zα	NUM
ejpam-5069	221	2	2	2	NUM
ejpam-5069	221	3	√	√	PROPN
ejpam-5069	221	4	v̂33	v̂33	NOUN
ejpam-5069	221	5	,	,	PUNCT
ejpam-5069	221	6	where	where	SCONJ
ejpam-5069	221	7	the	the	DET
ejpam-5069	221	8	α	α	PROPN
ejpam-5069	221	9	percentile	percentile	NOUN
ejpam-5069	221	10	of	of	ADP
ejpam-5069	221	11	the	the	DET
ejpam-5069	221	12	standard	standard	ADJ
ejpam-5069	221	13	normal	normal	ADJ
ejpam-5069	221	14	distribution	distribution	NOUN
ejpam-5069	221	15	is	be	AUX
ejpam-5069	221	16	represented	represent	VERB
ejpam-5069	221	17	by	by	ADP
ejpam-5069	221	18	the	the	DET
ejpam-5069	221	19	constant	constant	ADJ
ejpam-5069	221	20	zα	zα	PROPN
ejpam-5069	221	21	.	.	PUNCT
ejpam-5069	222	1	t.	t.	PROPN
ejpam-5069	222	2	tushar	tushar	PROPN
ejpam-5069	222	3	et	et	PROPN
ejpam-5069	222	4	al	al	PROPN
ejpam-5069	222	5	.	.	PUNCT
ejpam-5069	222	6	/	/	SYM
ejpam-5069	222	7	eur	eur	PROPN
ejpam-5069	222	8	.	.	PUNCT
ejpam-5069	223	1	j.	j.	PROPN
ejpam-5069	223	2	pure	pure	PROPN
ejpam-5069	223	3	appl	appl	PROPN
ejpam-5069	223	4	.	.	PROPN
ejpam-5069	223	5	math	math	PROPN
ejpam-5069	223	6	,	,	PUNCT
ejpam-5069	223	7	17	17	NUM
ejpam-5069	223	8	(	(	PUNCT
ejpam-5069	223	9	2	2	NUM
ejpam-5069	223	10	)	)	PUNCT
ejpam-5069	223	11	(	(	PUNCT
ejpam-5069	223	12	2024	2024	NUM
ejpam-5069	223	13	)	)	PUNCT
ejpam-5069	223	14	,	,	PUNCT
ejpam-5069	223	15	616	616	NUM
ejpam-5069	223	16	-	-	SYM
ejpam-5069	223	17	637	637	NUM
ejpam-5069	223	18	628	628	NUM
ejpam-5069	223	19	6	6	NUM
ejpam-5069	223	20	.	.	PUNCT
ejpam-5069	224	1	simulation	simulation	NOUN
ejpam-5069	224	2	study	study	VERB
ejpam-5069	224	3	the	the	DET
ejpam-5069	224	4	efficacy	efficacy	NOUN
ejpam-5069	224	5	of	of	ADP
ejpam-5069	224	6	the	the	DET
ejpam-5069	224	7	mles	mle	NOUN
ejpam-5069	224	8	for	for	ADP
ejpam-5069	224	9	the	the	DET
ejpam-5069	224	10	three	three	NUM
ejpam-5069	224	11	ctkw	ctkw	ADJ
ejpam-5069	224	12	distributional	distributional	ADJ
ejpam-5069	224	13	parameters	parameter	NOUN
ejpam-5069	224	14	a	a	DET
ejpam-5069	224	15	,	,	PUNCT
ejpam-5069	224	16	b	b	NOUN
ejpam-5069	224	17	,	,	PUNCT
ejpam-5069	224	18	and	and	CCONJ
ejpam-5069	224	19	λ	λ	PROPN
ejpam-5069	224	20	is	be	AUX
ejpam-5069	224	21	evaluated	evaluate	VERB
ejpam-5069	224	22	in	in	ADP
ejpam-5069	224	23	this	this	DET
ejpam-5069	224	24	section	section	NOUN
ejpam-5069	224	25	.	.	PUNCT
ejpam-5069	225	1	the	the	DET
ejpam-5069	225	2	ctkw	ctkw	NOUN
ejpam-5069	225	3	distribution	distribution	NOUN
ejpam-5069	225	4	may	may	AUX
ejpam-5069	225	5	be	be	AUX
ejpam-5069	225	6	simulated	simulate	VERB
ejpam-5069	225	7	using	use	VERB
ejpam-5069	225	8	equation	equation	NOUN
ejpam-5069	225	9	(	(	PUNCT
ejpam-5069	225	10	15	15	NUM
ejpam-5069	225	11	)	)	PUNCT
ejpam-5069	225	12	.	.	PUNCT
ejpam-5069	226	1	we	we	PRON
ejpam-5069	226	2	presumed	presume	VERB
ejpam-5069	226	3	the	the	DET
ejpam-5069	226	4	starting	starting	NOUN
ejpam-5069	226	5	parameter	parameter	NOUN
ejpam-5069	226	6	values	value	VERB
ejpam-5069	226	7	a	a	DET
ejpam-5069	226	8	=	=	SYM
ejpam-5069	226	9	1	1	NUM
ejpam-5069	226	10	,	,	PUNCT
ejpam-5069	226	11	b	b	NOUN
ejpam-5069	226	12	=	=	SYM
ejpam-5069	226	13	3	3	NUM
ejpam-5069	226	14	,	,	PUNCT
ejpam-5069	226	15	and	and	CCONJ
ejpam-5069	226	16	λ	λ	X
ejpam-5069	226	17	=	=	VERB
ejpam-5069	226	18	−1	−1	NOUN
ejpam-5069	226	19	under	under	ADP
ejpam-5069	226	20	the	the	DET
ejpam-5069	226	21	support	support	NOUN
ejpam-5069	226	22	of	of	ADP
ejpam-5069	226	23	these	these	DET
ejpam-5069	226	24	parameters	parameter	NOUN
ejpam-5069	226	25	,	,	PUNCT
ejpam-5069	226	26	with	with	ADP
ejpam-5069	226	27	varied	varied	ADJ
ejpam-5069	226	28	sample	sample	NOUN
ejpam-5069	226	29	sizes	size	NOUN
ejpam-5069	226	30	of	of	ADP
ejpam-5069	226	31	50	50	NUM
ejpam-5069	226	32	,	,	PUNCT
ejpam-5069	226	33	100	100	NUM
ejpam-5069	226	34	,	,	PUNCT
ejpam-5069	226	35	200	200	NUM
ejpam-5069	226	36	,	,	PUNCT
ejpam-5069	226	37	500	500	NUM
ejpam-5069	226	38	,	,	PUNCT
ejpam-5069	226	39	and	and	CCONJ
ejpam-5069	226	40	1000	1000	NUM
ejpam-5069	226	41	to	to	PART
ejpam-5069	226	42	create	create	VERB
ejpam-5069	226	43	random	random	ADJ
ejpam-5069	226	44	samples	sample	NOUN
ejpam-5069	226	45	for	for	ADP
ejpam-5069	226	46	the	the	DET
ejpam-5069	226	47	ctkw	ctkw	ADJ
ejpam-5069	226	48	distribution	distribution	NOUN
ejpam-5069	226	49	.	.	PUNCT
ejpam-5069	227	1	for	for	ADP
ejpam-5069	227	2	each	each	DET
ejpam-5069	227	3	sample	sample	NOUN
ejpam-5069	227	4	size	size	NOUN
ejpam-5069	227	5	,	,	PUNCT
ejpam-5069	227	6	the	the	DET
ejpam-5069	227	7	mles	mle	NOUN
ejpam-5069	227	8	are	be	AUX
ejpam-5069	227	9	obtained	obtain	VERB
ejpam-5069	227	10	,	,	PUNCT
ejpam-5069	227	11	and	and	CCONJ
ejpam-5069	227	12	the	the	DET
ejpam-5069	227	13	procedure	procedure	NOUN
ejpam-5069	227	14	is	be	AUX
ejpam-5069	227	15	repeated	repeat	VERB
ejpam-5069	227	16	1000	1000	NUM
ejpam-5069	227	17	times	time	NOUN
ejpam-5069	227	18	in	in	ADP
ejpam-5069	227	19	total	total	NOUN
ejpam-5069	227	20	.	.	PUNCT
ejpam-5069	228	1	after	after	ADP
ejpam-5069	228	2	that	that	PRON
ejpam-5069	228	3	,	,	PUNCT
ejpam-5069	228	4	two	two	NUM
ejpam-5069	228	5	sets	set	NOUN
ejpam-5069	228	6	of	of	ADP
ejpam-5069	228	7	initial	initial	ADJ
ejpam-5069	228	8	parameter	parameter	NOUN
ejpam-5069	228	9	values	value	NOUN
ejpam-5069	228	10	including	include	VERB
ejpam-5069	228	11	a	a	PRON
ejpam-5069	228	12	=	=	SYM
ejpam-5069	228	13	4.07	4.07	NUM
ejpam-5069	228	14	,	,	PUNCT
ejpam-5069	228	15	b	b	NOUN
ejpam-5069	228	16	=	=	SYM
ejpam-5069	228	17	6.44	6.44	NUM
ejpam-5069	228	18	,	,	PUNCT
ejpam-5069	228	19	λ	λ	X
ejpam-5069	228	20	=	=	SYM
ejpam-5069	228	21	−1	−1	NOUN
ejpam-5069	228	22	and	and	CCONJ
ejpam-5069	228	23	a	a	DET
ejpam-5069	228	24	=	=	SYM
ejpam-5069	228	25	0.9	0.9	NUM
ejpam-5069	228	26	,	,	PUNCT
ejpam-5069	228	27	b	b	NOUN
ejpam-5069	228	28	=	=	SYM
ejpam-5069	228	29	0.86	0.86	NUM
ejpam-5069	228	30	,	,	PUNCT
ejpam-5069	228	31	λ	λ	X
ejpam-5069	228	32	=	=	PRON
ejpam-5069	228	33	−1	−1	NOUN
ejpam-5069	228	34	have	have	AUX
ejpam-5069	228	35	considered	consider	VERB
ejpam-5069	228	36	and	and	CCONJ
ejpam-5069	228	37	the	the	DET
ejpam-5069	228	38	above	above	ADJ
ejpam-5069	228	39	process	process	NOUN
ejpam-5069	228	40	have	have	AUX
ejpam-5069	228	41	similarly	similarly	ADV
ejpam-5069	228	42	repeated	repeat	VERB
ejpam-5069	228	43	.	.	PUNCT
ejpam-5069	229	1	table	table	NOUN
ejpam-5069	229	2	3	3	NUM
ejpam-5069	229	3	displays	display	VERB
ejpam-5069	229	4	the	the	DET
ejpam-5069	229	5	computed	computed	ADJ
ejpam-5069	229	6	mean	mean	NOUN
ejpam-5069	229	7	and	and	CCONJ
ejpam-5069	229	8	mse	mse	NOUN
ejpam-5069	229	9	for	for	ADP
ejpam-5069	229	10	these	these	DET
ejpam-5069	229	11	1000	1000	NUM
ejpam-5069	229	12	data	datum	NOUN
ejpam-5069	229	13	of	of	ADP
ejpam-5069	229	14	each	each	PRON
ejpam-5069	229	15	of	of	ADP
ejpam-5069	229	16	the	the	DET
ejpam-5069	229	17	three	three	NUM
ejpam-5069	229	18	arbitrarily	arbitrarily	ADV
ejpam-5069	229	19	set	set	VERB
ejpam-5069	229	20	initial	initial	ADJ
ejpam-5069	229	21	values	value	NOUN
ejpam-5069	229	22	.	.	PUNCT
ejpam-5069	230	1	we	we	PRON
ejpam-5069	230	2	have	have	AUX
ejpam-5069	230	3	demonstrated	demonstrate	VERB
ejpam-5069	230	4	from	from	ADP
ejpam-5069	230	5	the	the	DET
ejpam-5069	230	6	table	table	NOUN
ejpam-5069	230	7	3	3	NUM
ejpam-5069	230	8	that	that	PRON
ejpam-5069	230	9	the	the	DET
ejpam-5069	230	10	parameter	parameter	NOUN
ejpam-5069	230	11	estimates	estimate	NOUN
ejpam-5069	230	12	are	be	AUX
ejpam-5069	230	13	quite	quite	ADV
ejpam-5069	230	14	close	close	ADJ
ejpam-5069	230	15	to	to	ADP
ejpam-5069	230	16	the	the	DET
ejpam-5069	230	17	actual	actual	ADJ
ejpam-5069	230	18	values	value	NOUN
ejpam-5069	230	19	and	and	CCONJ
ejpam-5069	230	20	that	that	SCONJ
ejpam-5069	230	21	the	the	DET
ejpam-5069	230	22	mse	mse	NOUN
ejpam-5069	230	23	decreases	decrease	VERB
ejpam-5069	230	24	as	as	SCONJ
ejpam-5069	230	25	the	the	DET
ejpam-5069	230	26	sample	sample	NOUN
ejpam-5069	230	27	size	size	NOUN
ejpam-5069	230	28	rises	rise	VERB
ejpam-5069	230	29	as	as	SCONJ
ejpam-5069	230	30	illustrated	illustrate	VERB
ejpam-5069	230	31	in	in	ADP
ejpam-5069	230	32	figure	figure	NOUN
ejpam-5069	230	33	5	5	NUM
ejpam-5069	230	34	.	.	PUNCT
ejpam-5069	231	1	this	this	PRON
ejpam-5069	231	2	shows	show	VERB
ejpam-5069	231	3	that	that	SCONJ
ejpam-5069	231	4	the	the	DET
ejpam-5069	231	5	estimating	estimating	NOUN
ejpam-5069	231	6	method	method	NOUN
ejpam-5069	231	7	is	be	AUX
ejpam-5069	231	8	effective	effective	ADJ
ejpam-5069	231	9	.	.	PUNCT
ejpam-5069	232	1	table	table	NOUN
ejpam-5069	232	2	3	3	NUM
ejpam-5069	232	3	:	:	PUNCT
ejpam-5069	232	4	average	average	ADJ
ejpam-5069	232	5	estimates	estimate	NOUN
ejpam-5069	232	6	of	of	ADP
ejpam-5069	232	7	model	model	NOUN
ejpam-5069	232	8	parameters	parameter	NOUN
ejpam-5069	232	9	and	and	CCONJ
ejpam-5069	232	10	corresponding	corresponding	ADJ
ejpam-5069	232	11	mses	mses	PROPN
ejpam-5069	232	12	sample	sample	PROPN
ejpam-5069	232	13	initial	initial	ADJ
ejpam-5069	232	14	estimate	estimate	NOUN
ejpam-5069	232	15	mse	mse	NOUN
ejpam-5069	232	16	size	size	NOUN
ejpam-5069	232	17	parameter	parameter	NOUN
ejpam-5069	232	18	a	a	DET
ejpam-5069	232	19	b	b	NOUN
ejpam-5069	232	20	λ	λ	X
ejpam-5069	232	21	a	a	DET
ejpam-5069	232	22	b	b	X
ejpam-5069	232	23	λ	λ	PROPN
ejpam-5069	232	24	50	50	NUM
ejpam-5069	232	25	a	a	DET
ejpam-5069	232	26	=	=	NOUN
ejpam-5069	232	27	1	1	NUM
ejpam-5069	232	28	0.936	0.936	NUM
ejpam-5069	232	29	2.780	2.780	NUM
ejpam-5069	232	30	-0.682	-0.682	NUM
ejpam-5069	232	31	0.034	0.034	NUM
ejpam-5069	232	32	0.640	0.640	NUM
ejpam-5069	232	33	0.365	0.365	NUM
ejpam-5069	232	34	100	100	NUM
ejpam-5069	232	35	0.942	0.942	NUM
ejpam-5069	232	36	2.801	2.801	NUM
ejpam-5069	232	37	-0.740	-0.740	PUNCT
ejpam-5069	232	38	0.016	0.016	NUM
ejpam-5069	232	39	0.296	0.296	NUM
ejpam-5069	232	40	0.172	0.172	NUM
ejpam-5069	232	41	200	200	NUM
ejpam-5069	232	42	b	b	NOUN
ejpam-5069	232	43	=	=	SYM
ejpam-5069	232	44	3	3	NUM
ejpam-5069	232	45	0.956	0.956	NUM
ejpam-5069	232	46	2.840	2.840	NUM
ejpam-5069	232	47	-0.817	-0.817	NUM
ejpam-5069	232	48	0.008	0.008	NUM
ejpam-5069	232	49	0.143	0.143	NUM
ejpam-5069	232	50	0.077	0.077	NUM
ejpam-5069	232	51	500	500	NUM
ejpam-5069	232	52	0.964	0.964	NUM
ejpam-5069	232	53	2.866	2.866	NUM
ejpam-5069	232	54	-0.861	-0.861	NOUN
ejpam-5069	232	55	0.003	0.003	NUM
ejpam-5069	232	56	0.064	0.064	NUM
ejpam-5069	232	57	0.036	0.036	NUM
ejpam-5069	232	58	1000	1000	NUM
ejpam-5069	232	59	λ	λ	NOUN
ejpam-5069	232	60	=	=	SYM
ejpam-5069	232	61	−1	−1	NOUN
ejpam-5069	232	62	0.978	0.978	NUM
ejpam-5069	232	63	2.915	2.915	NUM
ejpam-5069	232	64	-0.916	-0.916	ADP
ejpam-5069	232	65	0.001	0.001	NUM
ejpam-5069	232	66	0.030	0.030	NUM
ejpam-5069	232	67	0.015	0.015	NUM
ejpam-5069	232	68	50	50	NUM
ejpam-5069	232	69	a	a	DET
ejpam-5069	232	70	=	=	NOUN
ejpam-5069	232	71	4.07	4.07	NUM
ejpam-5069	232	72	4.052	4.052	NUM
ejpam-5069	232	73	6.533	6.533	NUM
ejpam-5069	232	74	-0.855	-0.855	ADP
ejpam-5069	232	75	0.413	0.413	NUM
ejpam-5069	232	76	4.622	4.622	NUM
ejpam-5069	232	77	0.262	0.262	NUM
ejpam-5069	232	78	100	100	NUM
ejpam-5069	232	79	4.021	4.021	NUM
ejpam-5069	232	80	6.352	6.352	NUM
ejpam-5069	232	81	-0.903	-0.903	NOUN
ejpam-5069	232	82	0.173	0.173	NUM
ejpam-5069	232	83	1.765	1.765	NUM
ejpam-5069	232	84	0.106	0.106	NUM
ejpam-5069	232	85	200	200	NUM
ejpam-5069	232	86	b	b	NOUN
ejpam-5069	232	87	=	=	SYM
ejpam-5069	232	88	6.44	6.44	NUM
ejpam-5069	232	89	4.043	4.043	NUM
ejpam-5069	232	90	6.372	6.372	NUM
ejpam-5069	232	91	-0.928	-0.928	NOUN
ejpam-5069	232	92	0.082	0.082	NUM
ejpam-5069	232	93	0.820	0.820	NUM
ejpam-5069	232	94	0.049	0.049	NUM
ejpam-5069	232	95	500	500	NUM
ejpam-5069	232	96	4.049	4.049	NUM
ejpam-5069	232	97	6.376	6.376	NUM
ejpam-5069	232	98	-0.951	-0.951	PUNCT
ejpam-5069	232	99	0.031	0.031	NUM
ejpam-5069	232	100	0.313	0.313	NUM
ejpam-5069	232	101	0.018	0.018	NUM
ejpam-5069	232	102	1000	1000	NUM
ejpam-5069	232	103	λ	λ	NOUN
ejpam-5069	232	104	=	=	SYM
ejpam-5069	232	105	−1	−1	NOUN
ejpam-5069	232	106	4.047	4.047	NUM
ejpam-5069	232	107	6.375	6.375	NUM
ejpam-5069	232	108	-0.969	-0.969	NOUN
ejpam-5069	232	109	0.016	0.016	NUM
ejpam-5069	232	110	0.154	0.154	NUM
ejpam-5069	232	111	0.009	0.009	NUM
ejpam-5069	232	112	50	50	NUM
ejpam-5069	232	113	a	a	DET
ejpam-5069	232	114	=	=	NOUN
ejpam-5069	232	115	0.9	0.9	NUM
ejpam-5069	232	116	0.897	0.897	NUM
ejpam-5069	232	117	0.858	0.858	NUM
ejpam-5069	232	118	-0.848	-0.848	NOUN
ejpam-5069	232	119	0.043	0.043	NUM
ejpam-5069	232	120	0.032	0.032	NUM
ejpam-5069	232	121	0.297	0.297	NUM
ejpam-5069	232	122	100	100	NUM
ejpam-5069	232	123	0.892	0.892	NUM
ejpam-5069	232	124	0.852	0.852	NUM
ejpam-5069	232	125	-0.891	-0.891	NOUN
ejpam-5069	233	1	0.017	0.017	NUM
ejpam-5069	233	2	0.014	0.014	NUM
ejpam-5069	233	3	0.111	0.111	NUM
ejpam-5069	233	4	200	200	NUM
ejpam-5069	233	5	b	b	NOUN
ejpam-5069	233	6	=	=	NOUN
ejpam-5069	233	7	0.86	0.86	NUM
ejpam-5069	233	8	0.891	0.891	NUM
ejpam-5069	233	9	0.854	0.854	NUM
ejpam-5069	233	10	-0.933	-0.933	PROPN
ejpam-5069	233	11	0.008	0.008	NUM
ejpam-5069	233	12	0.006	0.006	NUM
ejpam-5069	233	13	0.049	0.049	NUM
ejpam-5069	233	14	500	500	NUM
ejpam-5069	233	15	0.893	0.893	NUM
ejpam-5069	233	16	0.853	0.853	NUM
ejpam-5069	233	17	-0.952	-0.952	NOUN
ejpam-5069	233	18	0.003	0.003	NUM
ejpam-5069	233	19	0.002	0.002	NUM
ejpam-5069	233	20	0.019	0.019	NUM
ejpam-5069	233	21	1000	1000	NUM
ejpam-5069	233	22	λ	λ	NOUN
ejpam-5069	233	23	=	=	SYM
ejpam-5069	233	24	−1	−1	NOUN
ejpam-5069	233	25	0.895	0.895	NUM
ejpam-5069	233	26	0.857	0.857	NUM
ejpam-5069	233	27	-0.969	-0.969	NOUN
ejpam-5069	233	28	0.001	0.001	NUM
ejpam-5069	233	29	0.001	0.001	NUM
ejpam-5069	233	30	0.009	0.009	NUM
ejpam-5069	233	31	7	7	NUM
ejpam-5069	233	32	.	.	PUNCT
ejpam-5069	234	1	numerical	numerical	PROPN
ejpam-5069	234	2	results	result	NOUN
ejpam-5069	234	3	the	the	DET
ejpam-5069	234	4	effectiveness	effectiveness	NOUN
ejpam-5069	234	5	of	of	ADP
ejpam-5069	234	6	the	the	DET
ejpam-5069	234	7	suggested	suggest	VERB
ejpam-5069	234	8	ctkw	ctkw	NOUN
ejpam-5069	234	9	distribution	distribution	NOUN
ejpam-5069	234	10	is	be	AUX
ejpam-5069	234	11	assessed	assess	VERB
ejpam-5069	234	12	in	in	ADP
ejpam-5069	234	13	this	this	DET
ejpam-5069	234	14	section	section	NOUN
ejpam-5069	234	15	.	.	PUNCT
ejpam-5069	235	1	here	here	ADV
ejpam-5069	235	2	,	,	PUNCT
ejpam-5069	235	3	two	two	NUM
ejpam-5069	235	4	real	real	ADJ
ejpam-5069	235	5	-	-	PUNCT
ejpam-5069	235	6	world	world	NOUN
ejpam-5069	235	7	data	data	NOUN
ejpam-5069	235	8	sets	set	NOUN
ejpam-5069	235	9	with	with	ADP
ejpam-5069	235	10	censored	censor	VERB
ejpam-5069	235	11	and	and	CCONJ
ejpam-5069	235	12	lifetime	lifetime	NOUN
ejpam-5069	235	13	data	datum	NOUN
ejpam-5069	235	14	have	have	AUX
ejpam-5069	235	15	been	be	AUX
ejpam-5069	235	16	taken	take	VERB
ejpam-5069	235	17	into	into	ADP
ejpam-5069	235	18	consideration	consideration	NOUN
ejpam-5069	235	19	to	to	PART
ejpam-5069	235	20	apply	apply	VERB
ejpam-5069	235	21	to	to	ADP
ejpam-5069	235	22	the	the	DET
ejpam-5069	235	23	suggested	suggest	VERB
ejpam-5069	235	24	distribution	distribution	NOUN
ejpam-5069	235	25	.	.	PUNCT
ejpam-5069	236	1	then	then	ADV
ejpam-5069	236	2	,	,	PUNCT
ejpam-5069	236	3	to	to	PART
ejpam-5069	236	4	apply	apply	VERB
ejpam-5069	236	5	to	to	ADP
ejpam-5069	236	6	the	the	DET
ejpam-5069	236	7	same	same	ADJ
ejpam-5069	236	8	data	data	NOUN
ejpam-5069	236	9	sets	set	NOUN
ejpam-5069	236	10	,	,	PUNCT
ejpam-5069	236	11	three	three	NUM
ejpam-5069	236	12	analogous	analogous	ADJ
ejpam-5069	236	13	distributions	distribution	NOUN
ejpam-5069	236	14	,	,	PUNCT
ejpam-5069	236	15	including	include	VERB
ejpam-5069	236	16	the	the	DET
ejpam-5069	236	17	crtkw	crtkw	NOUN
ejpam-5069	236	18	,	,	PUNCT
ejpam-5069	236	19	tkw	tkw	NOUN
ejpam-5069	236	20	,	,	PUNCT
ejpam-5069	236	21	and	and	CCONJ
ejpam-5069	236	22	kw	kw	NUM
ejpam-5069	236	23	distributions	distribution	NOUN
ejpam-5069	236	24	,	,	PUNCT
ejpam-5069	236	25	have	have	AUX
ejpam-5069	236	26	also	also	ADV
ejpam-5069	236	27	been	be	AUX
ejpam-5069	236	28	taken	take	VERB
ejpam-5069	236	29	into	into	ADP
ejpam-5069	236	30	consideration	consideration	NOUN
ejpam-5069	236	31	.	.	PUNCT
ejpam-5069	237	1	eventually	eventually	ADV
ejpam-5069	237	2	,	,	PUNCT
ejpam-5069	237	3	the	the	DET
ejpam-5069	237	4	superior	superior	ADJ
ejpam-5069	237	5	flexibility	flexibility	NOUN
ejpam-5069	237	6	of	of	ADP
ejpam-5069	237	7	the	the	DET
ejpam-5069	237	8	ctkw	ctkw	NOUN
ejpam-5069	237	9	distribution	distribution	NOUN
ejpam-5069	237	10	has	have	AUX
ejpam-5069	237	11	been	be	AUX
ejpam-5069	237	12	proved	prove	VERB
ejpam-5069	237	13	through	through	ADP
ejpam-5069	237	14	the	the	DET
ejpam-5069	237	15	measure	measure	NOUN
ejpam-5069	237	16	of	of	ADP
ejpam-5069	237	17	goodness	goodness	NOUN
ejpam-5069	237	18	of	of	ADP
ejpam-5069	237	19	fit	fit	NOUN
ejpam-5069	237	20	including	include	VERB
ejpam-5069	237	21	the	the	DET
ejpam-5069	237	22	akaike	akaike	ADJ
ejpam-5069	237	23	t.	t.	PROPN
ejpam-5069	237	24	tushar	tushar	PROPN
ejpam-5069	237	25	et	et	PROPN
ejpam-5069	237	26	al	al	PROPN
ejpam-5069	237	27	.	.	PUNCT
ejpam-5069	237	28	/	/	SYM
ejpam-5069	237	29	eur	eur	PROPN
ejpam-5069	237	30	.	.	PUNCT
ejpam-5069	238	1	j.	j.	PROPN
ejpam-5069	238	2	pure	pure	PROPN
ejpam-5069	238	3	appl	appl	PROPN
ejpam-5069	238	4	.	.	PROPN
ejpam-5069	238	5	math	math	PROPN
ejpam-5069	238	6	,	,	PUNCT
ejpam-5069	238	7	17	17	NUM
ejpam-5069	238	8	(	(	PUNCT
ejpam-5069	238	9	2	2	NUM
ejpam-5069	238	10	)	)	PUNCT
ejpam-5069	238	11	(	(	PUNCT
ejpam-5069	238	12	2024	2024	NUM
ejpam-5069	238	13	)	)	PUNCT
ejpam-5069	238	14	,	,	PUNCT
ejpam-5069	238	15	616	616	NUM
ejpam-5069	238	16	-	-	SYM
ejpam-5069	238	17	637	637	NUM
ejpam-5069	238	18	629	629	NUM
ejpam-5069	238	19	0.0	0.0	NUM
ejpam-5069	238	20	0.2	0.2	NUM
ejpam-5069	238	21	0.4	0.4	NUM
ejpam-5069	238	22	0.6	0.6	NUM
ejpam-5069	238	23	250	250	NUM
ejpam-5069	238	24	500	500	NUM
ejpam-5069	238	25	750	750	NUM
ejpam-5069	238	26	1000	1000	NUM
ejpam-5069	238	27	sample	sample	NOUN
ejpam-5069	238	28	size	size	NOUN
ejpam-5069	238	29	m	m	PROPN
ejpam-5069	238	30	s	s	PROPN
ejpam-5069	238	31	e	e	NOUN
ejpam-5069	238	32	parameters	parameter	NOUN
ejpam-5069	238	33	a	a	DET
ejpam-5069	238	34	b	b	NOUN
ejpam-5069	238	35	lambda	lambda	NOUN
ejpam-5069	238	36	a=1	a=1	ADP
ejpam-5069	238	37	,	,	PUNCT
ejpam-5069	238	38	b=3	b=3	NOUN
ejpam-5069	238	39	,	,	PUNCT
ejpam-5069	238	40	lambda	lambda	NOUN
ejpam-5069	238	41	=	=	SYM
ejpam-5069	238	42	−1	−1	NOUN
ejpam-5069	238	43	0	0	NUM
ejpam-5069	238	44	1	1	NUM
ejpam-5069	238	45	2	2	NUM
ejpam-5069	238	46	3	3	NUM
ejpam-5069	238	47	4	4	NUM
ejpam-5069	238	48	250	250	NUM
ejpam-5069	238	49	500	500	NUM
ejpam-5069	238	50	750	750	NUM
ejpam-5069	238	51	1000	1000	NUM
ejpam-5069	238	52	sample	sample	NOUN
ejpam-5069	238	53	size	size	NOUN
ejpam-5069	238	54	m	m	PROPN
ejpam-5069	238	55	s	s	PROPN
ejpam-5069	238	56	e	e	NOUN
ejpam-5069	238	57	parameters	parameter	NOUN
ejpam-5069	238	58	a	a	DET
ejpam-5069	238	59	b	b	X
ejpam-5069	238	60	lambda	lambda	PROPN
ejpam-5069	238	61	a=4.07	a=4.07	PROPN
ejpam-5069	238	62	,	,	PUNCT
ejpam-5069	238	63	b=6.44	b=6.44	NOUN
ejpam-5069	238	64	,	,	PUNCT
ejpam-5069	238	65	lambda=−1	lambda=−1	NOUN
ejpam-5069	238	66	0.0	0.0	NUM
ejpam-5069	238	67	0.1	0.1	NUM
ejpam-5069	238	68	0.2	0.2	NUM
ejpam-5069	238	69	0.3	0.3	NUM
ejpam-5069	238	70	250	250	NUM
ejpam-5069	238	71	500	500	NUM
ejpam-5069	238	72	750	750	NUM
ejpam-5069	238	73	1000	1000	NUM
ejpam-5069	238	74	sample	sample	NOUN
ejpam-5069	238	75	size	size	NOUN
ejpam-5069	238	76	m	m	PROPN
ejpam-5069	238	77	s	s	PROPN
ejpam-5069	238	78	e	e	NOUN
ejpam-5069	238	79	parameters	parameter	NOUN
ejpam-5069	238	80	a	a	DET
ejpam-5069	238	81	b	b	NOUN
ejpam-5069	238	82	lambda	lambda	NOUN
ejpam-5069	238	83	a=0.9	a=0.9	NOUN
ejpam-5069	238	84	,	,	PUNCT
ejpam-5069	238	85	b=0.86	b=0.86	PROPN
ejpam-5069	238	86	,	,	PUNCT
ejpam-5069	238	87	lambda=−1	lambda=−1	X
ejpam-5069	238	88	figure	figure	NOUN
ejpam-5069	238	89	5	5	NUM
ejpam-5069	238	90	:	:	PUNCT
ejpam-5069	238	91	plots	plot	NOUN
ejpam-5069	238	92	of	of	ADP
ejpam-5069	238	93	the	the	DET
ejpam-5069	238	94	decreasing	decrease	VERB
ejpam-5069	238	95	mse	mse	NOUN
ejpam-5069	238	96	according	accord	VERB
ejpam-5069	238	97	to	to	ADP
ejpam-5069	238	98	the	the	DET
ejpam-5069	238	99	sample	sample	NOUN
ejpam-5069	238	100	size	size	NOUN
ejpam-5069	238	101	information	information	NOUN
ejpam-5069	238	102	criterion	criterion	NOUN
ejpam-5069	238	103	(	(	PUNCT
ejpam-5069	238	104	aic	aic	PROPN
ejpam-5069	238	105	)	)	PUNCT
ejpam-5069	238	106	,	,	PUNCT
ejpam-5069	238	107	the	the	DET
ejpam-5069	238	108	second	second	ADJ
ejpam-5069	238	109	order	order	NOUN
ejpam-5069	238	110	estimate	estimate	NOUN
ejpam-5069	238	111	of	of	ADP
ejpam-5069	238	112	akaike	akaike	ADJ
ejpam-5069	238	113	information	information	NOUN
ejpam-5069	238	114	criterion	criterion	NOUN
ejpam-5069	238	115	(	(	PUNCT
ejpam-5069	238	116	aicc	aicc	NOUN
ejpam-5069	238	117	)	)	PUNCT
ejpam-5069	238	118	,	,	PUNCT
ejpam-5069	238	119	the	the	DET
ejpam-5069	238	120	bayesian	bayesian	ADJ
ejpam-5069	238	121	information	information	NOUN
ejpam-5069	238	122	criterion	criterion	NOUN
ejpam-5069	238	123	(	(	PUNCT
ejpam-5069	238	124	bic	bic	PROPN
ejpam-5069	238	125	)	)	PUNCT
ejpam-5069	238	126	,	,	PUNCT
ejpam-5069	238	127	log	log	NOUN
ejpam-5069	238	128	–	–	PUNCT
ejpam-5069	238	129	likelihood	likelihood	NOUN
ejpam-5069	238	130	(	(	PUNCT
ejpam-5069	238	131	ll	ll	NOUN
ejpam-5069	238	132	)	)	PUNCT
ejpam-5069	238	133	,	,	PUNCT
ejpam-5069	238	134	2log	2log	NUM
ejpam-5069	238	135	–	–	PUNCT
ejpam-5069	238	136	likelihood	likelihood	NOUN
ejpam-5069	238	137	(	(	PUNCT
ejpam-5069	238	138	2ll	2ll	NOUN
ejpam-5069	238	139	)	)	PUNCT
ejpam-5069	238	140	,	,	PUNCT
ejpam-5069	238	141	kolmogorov	kolmogorov	PROPN
ejpam-5069	238	142	–	–	PUNCT
ejpam-5069	238	143	smirnov	smirnov	PROPN
ejpam-5069	238	144	(	(	PUNCT
ejpam-5069	238	145	ks	ks	NOUN
ejpam-5069	238	146	)	)	PUNCT
ejpam-5069	238	147	statistic	statistic	NOUN
ejpam-5069	238	148	,	,	PUNCT
ejpam-5069	238	149	and	and	CCONJ
ejpam-5069	238	150	cramer	cramer	PROPN
ejpam-5069	238	151	–	–	PUNCT
ejpam-5069	238	152	von	von	PROPN
ejpam-5069	238	153	mises	mises	PROPN
ejpam-5069	238	154	(	(	PUNCT
ejpam-5069	238	155	c	c	PROPN
ejpam-5069	238	156	-	-	PUNCT
ejpam-5069	238	157	vm	vm	NOUN
ejpam-5069	238	158	)	)	PUNCT
ejpam-5069	238	159	statistic	statistic	NOUN
ejpam-5069	238	160	,	,	PUNCT
ejpam-5069	238	161	and	and	CCONJ
ejpam-5069	238	162	anderson	anderson	PROPN
ejpam-5069	238	163	–	–	PUNCT
ejpam-5069	238	164	darling	darling	NOUN
ejpam-5069	238	165	(	(	PUNCT
ejpam-5069	238	166	a	a	NOUN
ejpam-5069	238	167	)	)	PUNCT
ejpam-5069	238	168	statistic	statistic	NOUN
ejpam-5069	238	169	as	as	ADV
ejpam-5069	238	170	well	well	ADV
ejpam-5069	238	171	as	as	ADP
ejpam-5069	238	172	the	the	DET
ejpam-5069	238	173	graphical	graphical	ADJ
ejpam-5069	238	174	illustration	illustration	NOUN
ejpam-5069	238	175	like	like	ADP
ejpam-5069	238	176	empirical	empirical	ADJ
ejpam-5069	238	177	cumulative	cumulative	ADJ
ejpam-5069	238	178	distribution	distribution	NOUN
ejpam-5069	238	179	function	function	NOUN
ejpam-5069	238	180	(	(	PUNCT
ejpam-5069	238	181	ecdf	ecdf	ADV
ejpam-5069	238	182	)	)	PUNCT
ejpam-5069	238	183	and	and	CCONJ
ejpam-5069	238	184	empirical	empirical	ADJ
ejpam-5069	238	185	probability	probability	NOUN
ejpam-5069	238	186	distribution	distribution	NOUN
ejpam-5069	238	187	function	function	NOUN
ejpam-5069	238	188	(	(	PUNCT
ejpam-5069	238	189	epdf	epdf	NOUN
ejpam-5069	238	190	)	)	PUNCT
ejpam-5069	238	191	(	(	PUNCT
ejpam-5069	238	192	see	see	VERB
ejpam-5069	238	193	brewer	brewer	NOUN
ejpam-5069	238	194	et	et	PROPN
ejpam-5069	238	195	al	al	PROPN
ejpam-5069	238	196	.	.	PUNCT
ejpam-5069	239	1	[	[	X
ejpam-5069	239	2	4	4	NUM
ejpam-5069	239	3	]	]	PUNCT
ejpam-5069	239	4	,	,	PUNCT
ejpam-5069	239	5	and	and	CCONJ
ejpam-5069	239	6	evans	evans	PROPN
ejpam-5069	239	7	et	et	PROPN
ejpam-5069	239	8	al	al	PROPN
ejpam-5069	239	9	.	.	PUNCT
ejpam-5069	240	1	[	[	X
ejpam-5069	240	2	11	11	NUM
ejpam-5069	240	3	]	]	PUNCT
ejpam-5069	240	4	for	for	ADP
ejpam-5069	240	5	details	detail	NOUN
ejpam-5069	240	6	)	)	PUNCT
ejpam-5069	240	7	.	.	PUNCT
ejpam-5069	241	1	the	the	DET
ejpam-5069	241	2	values	value	NOUN
ejpam-5069	241	3	of	of	ADP
ejpam-5069	241	4	these	these	DET
ejpam-5069	241	5	test	test	NOUN
ejpam-5069	241	6	statistics	statistic	NOUN
ejpam-5069	241	7	(	(	PUNCT
ejpam-5069	241	8	ks	ks	NOUN
ejpam-5069	241	9	,	,	PUNCT
ejpam-5069	241	10	a	a	DET
ejpam-5069	241	11	,	,	PUNCT
ejpam-5069	241	12	c	c	PROPN
ejpam-5069	241	13	-	-	PUNCT
ejpam-5069	241	14	vm	vm	NOUN
ejpam-5069	241	15	)	)	PUNCT
ejpam-5069	241	16	measure	measure	VERB
ejpam-5069	241	17	the	the	DET
ejpam-5069	241	18	discrepancy	discrepancy	NOUN
ejpam-5069	241	19	between	between	ADP
ejpam-5069	241	20	the	the	DET
ejpam-5069	241	21	empirical	empirical	ADJ
ejpam-5069	241	22	distribution	distribution	NOUN
ejpam-5069	241	23	derived	derive	VERB
ejpam-5069	241	24	from	from	ADP
ejpam-5069	241	25	the	the	DET
ejpam-5069	241	26	data	datum	NOUN
ejpam-5069	241	27	and	and	CCONJ
ejpam-5069	241	28	the	the	DET
ejpam-5069	241	29	theoretical	theoretical	ADJ
ejpam-5069	241	30	distribution	distribution	NOUN
ejpam-5069	241	31	assumed	assume	VERB
ejpam-5069	241	32	by	by	ADP
ejpam-5069	241	33	the	the	DET
ejpam-5069	241	34	model	model	NOUN
ejpam-5069	241	35	.	.	PUNCT
ejpam-5069	242	1	lower	low	ADJ
ejpam-5069	242	2	values	value	NOUN
ejpam-5069	242	3	of	of	ADP
ejpam-5069	242	4	these	these	DET
ejpam-5069	242	5	statistics	statistic	NOUN
ejpam-5069	242	6	indicate	indicate	VERB
ejpam-5069	242	7	better	well	ADJ
ejpam-5069	242	8	fits	fit	NOUN
ejpam-5069	242	9	,	,	PUNCT
ejpam-5069	242	10	implying	imply	VERB
ejpam-5069	242	11	that	that	SCONJ
ejpam-5069	242	12	the	the	DET
ejpam-5069	242	13	empirical	empirical	ADJ
ejpam-5069	242	14	distribution	distribution	NOUN
ejpam-5069	242	15	is	be	AUX
ejpam-5069	242	16	closer	close	ADJ
ejpam-5069	242	17	to	to	ADP
ejpam-5069	242	18	the	the	DET
ejpam-5069	242	19	theoretical	theoretical	ADJ
ejpam-5069	242	20	distribution	distribution	NOUN
ejpam-5069	242	21	.	.	PUNCT
ejpam-5069	243	1	the	the	DET
ejpam-5069	243	2	summary	summary	NOUN
ejpam-5069	243	3	statistics	statistic	NOUN
ejpam-5069	243	4	of	of	ADP
ejpam-5069	243	5	the	the	DET
ejpam-5069	243	6	two	two	NUM
ejpam-5069	243	7	data	data	NOUN
ejpam-5069	243	8	sets	set	NOUN
ejpam-5069	243	9	are	be	AUX
ejpam-5069	243	10	presented	present	VERB
ejpam-5069	243	11	in	in	ADP
ejpam-5069	243	12	the	the	DET
ejpam-5069	243	13	following	follow	VERB
ejpam-5069	243	14	table	table	NOUN
ejpam-5069	243	15	4	4	NUM
ejpam-5069	243	16	.	.	PUNCT
ejpam-5069	243	17	table	table	NOUN
ejpam-5069	243	18	4	4	NUM
ejpam-5069	243	19	:	:	PUNCT
ejpam-5069	243	20	the	the	DET
ejpam-5069	243	21	summarizing	summarizing	NOUN
ejpam-5069	243	22	statistics	statistic	NOUN
ejpam-5069	243	23	as	as	ADV
ejpam-5069	243	24	well	well	ADV
ejpam-5069	243	25	as	as	ADP
ejpam-5069	243	26	the	the	DET
ejpam-5069	243	27	data	datum	NOUN
ejpam-5069	243	28	sets	set	VERB
ejpam-5069	243	29	skewness	skewness	NOUN
ejpam-5069	243	30	and	and	CCONJ
ejpam-5069	243	31	kurtosis	kurtosis	VERB
ejpam-5069	243	32	data	datum	NOUN
ejpam-5069	243	33	set	set	PROPN
ejpam-5069	243	34	min	min	PROPN
ejpam-5069	243	35	.	.	PROPN
ejpam-5069	243	36	q1	q1	PROPN
ejpam-5069	243	37	median	median	PROPN
ejpam-5069	243	38	q3	q3	PROPN
ejpam-5069	243	39	max	max	PROPN
ejpam-5069	243	40	.	.	PUNCT
ejpam-5069	244	1	mean	mean	PROPN
ejpam-5069	244	2	skewness	skewness	NOUN
ejpam-5069	244	3	kurtosis	kurtosis	NOUN
ejpam-5069	244	4	censored	censor	VERB
ejpam-5069	244	5	0.127	0.127	NUM
ejpam-5069	244	6	0.425	0.425	NUM
ejpam-5069	244	7	0.640	0.640	NUM
ejpam-5069	244	8	0.723	0.723	NUM
ejpam-5069	244	9	0.825	0.825	NUM
ejpam-5069	244	10	0.577	0.577	NUM
ejpam-5069	244	11	-0.625	-0.625	NOUN
ejpam-5069	244	12	-0.701	-0.701	PUNCT
ejpam-5069	244	13	lifetime	lifetime	NOUN
ejpam-5069	244	14	0.020	0.020	NUM
ejpam-5069	244	15	0.143	0.143	NUM
ejpam-5069	244	16	0.507	0.507	NUM
ejpam-5069	244	17	0.892	0.892	NUM
ejpam-5069	244	18	0.990	0.990	NUM
ejpam-5069	244	19	0.494	0.494	NUM
ejpam-5069	244	20	0.062	0.062	NUM
ejpam-5069	244	21	-1.773	-1.773	PROPN
ejpam-5069	244	22	in	in	ADP
ejpam-5069	244	23	addition	addition	NOUN
ejpam-5069	244	24	,	,	PUNCT
ejpam-5069	244	25	in	in	ADP
ejpam-5069	244	26	figure	figure	NOUN
ejpam-5069	244	27	6	6	NUM
ejpam-5069	244	28	and	and	CCONJ
ejpam-5069	244	29	7	7	NUM
ejpam-5069	244	30	,	,	PUNCT
ejpam-5069	244	31	four	four	NUM
ejpam-5069	244	32	plots	plot	NOUN
ejpam-5069	244	33	are	be	AUX
ejpam-5069	244	34	displayed	display	VERB
ejpam-5069	244	35	for	for	ADP
ejpam-5069	244	36	the	the	DET
ejpam-5069	244	37	censored	censor	VERB
ejpam-5069	244	38	and	and	CCONJ
ejpam-5069	244	39	lifetime	lifetime	NOUN
ejpam-5069	244	40	data	datum	NOUN
ejpam-5069	244	41	respectively	respectively	ADV
ejpam-5069	244	42	.	.	PUNCT
ejpam-5069	245	1	among	among	ADP
ejpam-5069	245	2	them	they	PRON
ejpam-5069	245	3	the	the	DET
ejpam-5069	245	4	probability	probability	NOUN
ejpam-5069	245	5	-	-	PUNCT
ejpam-5069	245	6	probability	probability	NOUN
ejpam-5069	245	7	(	(	PUNCT
ejpam-5069	245	8	p	p	NOUN
ejpam-5069	245	9	-	-	PUNCT
ejpam-5069	245	10	p	p	NOUN
ejpam-5069	245	11	)	)	PUNCT
ejpam-5069	245	12	and	and	CCONJ
ejpam-5069	245	13	quantile	quantile	NOUN
ejpam-5069	245	14	-	-	PUNCT
ejpam-5069	245	15	quantile	quantile	NOUN
ejpam-5069	245	16	(	(	PUNCT
ejpam-5069	245	17	q	q	NOUN
ejpam-5069	245	18	-	-	PUNCT
ejpam-5069	245	19	q	q	NOUN
ejpam-5069	245	20	)	)	PUNCT
ejpam-5069	245	21	plots	plot	NOUN
ejpam-5069	245	22	asses	ass	NOUN
ejpam-5069	245	23	that	that	SCONJ
ejpam-5069	245	24	the	the	DET
ejpam-5069	245	25	proposed	propose	VERB
ejpam-5069	245	26	ctkw	ctkw	NOUN
ejpam-5069	245	27	model	model	NOUN
ejpam-5069	245	28	strongly	strongly	ADV
ejpam-5069	245	29	agrees	agree	VERB
ejpam-5069	245	30	with	with	ADP
ejpam-5069	245	31	both	both	CCONJ
ejpam-5069	245	32	the	the	DET
ejpam-5069	245	33	data	datum	NOUN
ejpam-5069	245	34	.	.	PUNCT
ejpam-5069	246	1	also	also	ADV
ejpam-5069	246	2	,	,	PUNCT
ejpam-5069	246	3	the	the	DET
ejpam-5069	246	4	total	total	ADJ
ejpam-5069	246	5	time	time	NOUN
ejpam-5069	246	6	on	on	ADP
ejpam-5069	246	7	test	test	NOUN
ejpam-5069	246	8	(	(	PUNCT
ejpam-5069	246	9	ttt	ttt	NOUN
ejpam-5069	246	10	)	)	PUNCT
ejpam-5069	246	11	plot	plot	NOUN
ejpam-5069	246	12	is	be	AUX
ejpam-5069	246	13	used	use	VERB
ejpam-5069	246	14	as	as	ADP
ejpam-5069	246	15	a	a	DET
ejpam-5069	246	16	tool	tool	NOUN
ejpam-5069	246	17	for	for	ADP
ejpam-5069	246	18	identifying	identify	VERB
ejpam-5069	246	19	the	the	DET
ejpam-5069	246	20	graphical	graphical	ADJ
ejpam-5069	246	21	behavior	behavior	NOUN
ejpam-5069	246	22	of	of	ADP
ejpam-5069	246	23	the	the	DET
ejpam-5069	246	24	hazard	hazard	NOUN
ejpam-5069	246	25	rate	rate	NOUN
ejpam-5069	246	26	function	function	NOUN
ejpam-5069	246	27	(	(	PUNCT
ejpam-5069	246	28	hrf	hrf	PROPN
ejpam-5069	246	29	)	)	PUNCT
ejpam-5069	246	30	for	for	ADP
ejpam-5069	246	31	the	the	DET
ejpam-5069	246	32	above	above	ADJ
ejpam-5069	246	33	two	two	NUM
ejpam-5069	246	34	data	data	NOUN
ejpam-5069	246	35	sets	set	NOUN
ejpam-5069	246	36	.	.	PUNCT
ejpam-5069	247	1	it	it	PRON
ejpam-5069	247	2	has	have	AUX
ejpam-5069	247	3	been	be	AUX
ejpam-5069	247	4	observed	observe	VERB
ejpam-5069	247	5	from	from	ADP
ejpam-5069	247	6	the	the	DET
ejpam-5069	247	7	ttt	ttt	PROPN
ejpam-5069	247	8	plots	plot	NOUN
ejpam-5069	247	9	of	of	ADP
ejpam-5069	247	10	the	the	DET
ejpam-5069	247	11	two	two	NUM
ejpam-5069	247	12	data	datum	NOUN
ejpam-5069	247	13	sets	set	NOUN
ejpam-5069	247	14	that	that	SCONJ
ejpam-5069	247	15	the	the	DET
ejpam-5069	247	16	concave	concave	NOUN
ejpam-5069	247	17	and	and	CCONJ
ejpam-5069	247	18	convex	convex	PROPN
ejpam-5069	247	19	ttt	ttt	PROPN
ejpam-5069	247	20	plots	plot	NOUN
ejpam-5069	247	21	predict	predict	VERB
ejpam-5069	247	22	increasing	increase	VERB
ejpam-5069	247	23	hazard	hazard	NOUN
ejpam-5069	247	24	curves	curve	NOUN
ejpam-5069	247	25	for	for	ADP
ejpam-5069	247	26	both	both	DET
ejpam-5069	247	27	data	datum	NOUN
ejpam-5069	247	28	sets	set	NOUN
ejpam-5069	247	29	.	.	PUNCT
ejpam-5069	248	1	7.1	7.1	NUM
ejpam-5069	248	2	.	.	PUNCT
ejpam-5069	249	1	application	application	NOUN
ejpam-5069	249	2	of	of	ADP
ejpam-5069	249	3	cubic	cubic	ADJ
ejpam-5069	249	4	transmuted	transmute	VERB
ejpam-5069	249	5	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	249	6	distribution	distribution	NOUN
ejpam-5069	249	7	for	for	ADP
ejpam-5069	249	8	type	type	NOUN
ejpam-5069	249	9	ii	ii	PROPN
ejpam-5069	249	10	censored	censor	VERB
ejpam-5069	249	11	data	datum	NOUN
ejpam-5069	249	12	this	this	DET
ejpam-5069	249	13	data	datum	NOUN
ejpam-5069	249	14	was	be	AUX
ejpam-5069	249	15	used	use	VERB
ejpam-5069	249	16	by	by	ADP
ejpam-5069	249	17	tu	tu	PROPN
ejpam-5069	249	18	and	and	CCONJ
ejpam-5069	249	19	gui	gui	PROPN
ejpam-5069	250	1	[	[	X
ejpam-5069	250	2	22	22	NUM
ejpam-5069	250	3	]	]	PUNCT
ejpam-5069	250	4	,	,	PUNCT
ejpam-5069	250	5	and	and	CCONJ
ejpam-5069	250	6	it	it	PRON
ejpam-5069	250	7	is	be	AUX
ejpam-5069	250	8	slightly	slightly	ADV
ejpam-5069	250	9	negatively	negatively	ADV
ejpam-5069	250	10	skewed	skewed	ADJ
ejpam-5069	250	11	as	as	SCONJ
ejpam-5069	250	12	shown	show	VERB
ejpam-5069	250	13	in	in	ADP
ejpam-5069	250	14	table	table	NOUN
ejpam-5069	250	15	4	4	NUM
ejpam-5069	250	16	.	.	PUNCT
ejpam-5069	250	17	by	by	ADP
ejpam-5069	250	18	employing	employ	VERB
ejpam-5069	250	19	21	21	NUM
ejpam-5069	250	20	observations	observation	NOUN
ejpam-5069	250	21	,	,	PUNCT
ejpam-5069	250	22	a	a	DET
ejpam-5069	250	23	generalized	generalized	ADJ
ejpam-5069	250	24	progressive	progressive	ADJ
ejpam-5069	250	25	hybrid	hybrid	ADJ
ejpam-5069	250	26	censored	censored	ADJ
ejpam-5069	250	27	sample	sample	NOUN
ejpam-5069	250	28	was	be	AUX
ejpam-5069	250	29	created	create	VERB
ejpam-5069	250	30	for	for	ADP
ejpam-5069	250	31	the	the	DET
ejpam-5069	250	32	data	datum	NOUN
ejpam-5069	250	33	below	below	ADV
ejpam-5069	250	34	:	:	PUNCT
ejpam-5069	250	35	t.	t.	PROPN
ejpam-5069	250	36	tushar	tushar	PROPN
ejpam-5069	250	37	et	et	PROPN
ejpam-5069	250	38	al	al	PROPN
ejpam-5069	250	39	.	.	PUNCT
ejpam-5069	250	40	/	/	SYM
ejpam-5069	250	41	eur	eur	PROPN
ejpam-5069	250	42	.	.	PUNCT
ejpam-5069	251	1	j.	j.	PROPN
ejpam-5069	251	2	pure	pure	PROPN
ejpam-5069	251	3	appl	appl	PROPN
ejpam-5069	251	4	.	.	PROPN
ejpam-5069	251	5	math	math	PROPN
ejpam-5069	251	6	,	,	PUNCT
ejpam-5069	251	7	17	17	NUM
ejpam-5069	251	8	(	(	PUNCT
ejpam-5069	251	9	2	2	NUM
ejpam-5069	251	10	)	)	PUNCT
ejpam-5069	251	11	(	(	PUNCT
ejpam-5069	251	12	2024	2024	NUM
ejpam-5069	251	13	)	)	PUNCT
ejpam-5069	251	14	,	,	PUNCT
ejpam-5069	251	15	616	616	NUM
ejpam-5069	251	16	-	-	SYM
ejpam-5069	251	17	637	637	NUM
ejpam-5069	251	18	630	630	NUM
ejpam-5069	251	19	0.00	0.00	NUM
ejpam-5069	251	20	0.25	0.25	NUM
ejpam-5069	251	21	0.50	0.50	NUM
ejpam-5069	251	22	0.75	0.75	NUM
ejpam-5069	251	23	1.00	1.00	NUM
ejpam-5069	251	24	0.00	0.00	NUM
ejpam-5069	251	25	0.25	0.25	NUM
ejpam-5069	251	26	0.50	0.50	NUM
ejpam-5069	251	27	0.75	0.75	NUM
ejpam-5069	251	28	1.00	1.00	NUM
ejpam-5069	251	29	empirical	empirical	ADJ
ejpam-5069	251	30	cdf	cdf	PROPN
ejpam-5069	251	31	t	t	NOUN
ejpam-5069	251	32	he	he	PRON
ejpam-5069	251	33	or	or	CCONJ
ejpam-5069	251	34	et	et	PRON
ejpam-5069	251	35	ic	ic	PROPN
ejpam-5069	252	1	al	al	PROPN
ejpam-5069	252	2	c	c	PROPN
ejpam-5069	253	1	d	d	X
ejpam-5069	253	2	f	f	PROPN
ejpam-5069	253	3	probability−probability	probability−probability	NOUN
ejpam-5069	253	4	plot	plot	NOUN
ejpam-5069	253	5	0.0	0.0	NUM
ejpam-5069	253	6	0.2	0.2	NUM
ejpam-5069	253	7	0.4	0.4	NUM
ejpam-5069	253	8	0.6	0.6	NUM
ejpam-5069	253	9	0.8	0.8	NUM
ejpam-5069	253	10	0.0	0.0	NUM
ejpam-5069	253	11	0.2	0.2	NUM
ejpam-5069	253	12	0.4	0.4	NUM
ejpam-5069	253	13	0.6	0.6	NUM
ejpam-5069	253	14	0.8	0.8	NUM
ejpam-5069	253	15	data	datum	NOUN
ejpam-5069	253	16	quantiles	quantile	NOUN
ejpam-5069	253	17	t	t	PROPN
ejpam-5069	253	18	he	he	PRON
ejpam-5069	253	19	or	or	CCONJ
ejpam-5069	253	20	et	et	PRON
ejpam-5069	254	1	ic	ic	PROPN
ejpam-5069	254	2	al	al	PROPN
ejpam-5069	254	3	q	q	PROPN
ejpam-5069	254	4	ua	ua	PROPN
ejpam-5069	254	5	nt	not	PART
ejpam-5069	254	6	ile	ile	PROPN
ejpam-5069	254	7	s	s	PART
ejpam-5069	254	8	quantile−quantile	quantile−quantile	ADJ
ejpam-5069	254	9	plot	plot	NOUN
ejpam-5069	254	10	0.00	0.00	NUM
ejpam-5069	254	11	0.25	0.25	NUM
ejpam-5069	254	12	0.50	0.50	NUM
ejpam-5069	254	13	0.75	0.75	NUM
ejpam-5069	254	14	1.00	1.00	NUM
ejpam-5069	254	15	0.00	0.00	NUM
ejpam-5069	254	16	0.25	0.25	NUM
ejpam-5069	254	17	0.50	0.50	NUM
ejpam-5069	254	18	0.75	0.75	NUM
ejpam-5069	254	19	1.00	1.00	NUM
ejpam-5069	254	20	r	r	NOUN
ejpam-5069	254	21	/	/	SYM
ejpam-5069	254	22	n	n	NOUN
ejpam-5069	254	23	f	f	NOUN
ejpam-5069	254	24	total	total	ADJ
ejpam-5069	254	25	time	time	NOUN
ejpam-5069	254	26	on	on	ADP
ejpam-5069	254	27	test	test	NOUN
ejpam-5069	254	28	plot	plot	NOUN
ejpam-5069	254	29	0	0	NUM
ejpam-5069	254	30	5	5	NUM
ejpam-5069	254	31	10	10	NUM
ejpam-5069	254	32	15	15	NUM
ejpam-5069	254	33	20	20	NUM
ejpam-5069	254	34	25	25	NUM
ejpam-5069	254	35	0.0	0.0	NUM
ejpam-5069	254	36	0.2	0.2	NUM
ejpam-5069	254	37	0.4	0.4	NUM
ejpam-5069	254	38	0.6	0.6	NUM
ejpam-5069	254	39	0.8	0.8	NUM
ejpam-5069	254	40	t	t	NOUN
ejpam-5069	254	41	h	h	PROPN
ejpam-5069	254	42	(	(	PUNCT
ejpam-5069	254	43	t	t	PROPN
ejpam-5069	254	44	)	)	PUNCT
ejpam-5069	254	45	hazard	hazard	NOUN
ejpam-5069	254	46	rate	rate	NOUN
ejpam-5069	254	47	plot	plot	NOUN
ejpam-5069	254	48	figure	figure	NOUN
ejpam-5069	254	49	6	6	NUM
ejpam-5069	254	50	:	:	PUNCT
ejpam-5069	254	51	p	p	NOUN
ejpam-5069	254	52	-	-	PUNCT
ejpam-5069	254	53	p	p	X
ejpam-5069	254	54	(	(	PUNCT
ejpam-5069	254	55	upper	upper	ADJ
ejpam-5069	254	56	left	left	NOUN
ejpam-5069	254	57	)	)	PUNCT
ejpam-5069	254	58	,	,	PUNCT
ejpam-5069	254	59	q	q	NOUN
ejpam-5069	254	60	-	-	PUNCT
ejpam-5069	254	61	q	q	NOUN
ejpam-5069	254	62	(	(	PUNCT
ejpam-5069	254	63	upper	upper	ADJ
ejpam-5069	254	64	right	right	NOUN
ejpam-5069	254	65	)	)	PUNCT
ejpam-5069	254	66	,	,	PUNCT
ejpam-5069	254	67	ttt	ttt	PROPN
ejpam-5069	254	68	(	(	PUNCT
ejpam-5069	254	69	lower	low	ADJ
ejpam-5069	254	70	left	left	ADJ
ejpam-5069	254	71	)	)	PUNCT
ejpam-5069	254	72	,	,	PUNCT
ejpam-5069	254	73	and	and	CCONJ
ejpam-5069	254	74	hazard	hazard	NOUN
ejpam-5069	254	75	(	(	PUNCT
ejpam-5069	254	76	lower	low	ADJ
ejpam-5069	254	77	right	right	ADJ
ejpam-5069	254	78	)	)	PUNCT
ejpam-5069	254	79	plots	plot	NOUN
ejpam-5069	254	80	(	(	PUNCT
ejpam-5069	254	81	respectively	respectively	ADV
ejpam-5069	254	82	)	)	PUNCT
ejpam-5069	254	83	of	of	ADP
ejpam-5069	254	84	the	the	DET
ejpam-5069	254	85	proposed	propose	VERB
ejpam-5069	254	86	ctkw	ctkw	NOUN
ejpam-5069	254	87	distribution	distribution	NOUN
ejpam-5069	254	88	for	for	ADP
ejpam-5069	254	89	censored	censored	ADJ
ejpam-5069	254	90	data	datum	NOUN
ejpam-5069	254	91	0.126977	0.126977	NUM
ejpam-5069	254	92	,	,	PUNCT
ejpam-5069	254	93	0.291172	0.291172	NUM
ejpam-5069	254	94	,	,	PUNCT
ejpam-5069	254	95	0.345075	0.345075	NUM
ejpam-5069	254	96	,	,	PUNCT
ejpam-5069	254	97	0.371904	0.371904	NUM
ejpam-5069	254	98	,	,	PUNCT
ejpam-5069	254	99	0.414087	0.414087	NUM
ejpam-5069	254	100	,	,	PUNCT
ejpam-5069	254	101	0.425334	0.425334	NUM
ejpam-5069	254	102	,	,	PUNCT
ejpam-5069	254	103	0.463726	0.463726	NUM
ejpam-5069	254	104	,	,	PUNCT
ejpam-5069	254	105	0.524947	0.524947	NUM
ejpam-5069	254	106	,	,	PUNCT
ejpam-5069	254	107	0.538082	0.538082	NUM
ejpam-5069	254	108	,	,	PUNCT
ejpam-5069	254	109	0.605979	0.605979	NUM
ejpam-5069	254	110	,	,	PUNCT
ejpam-5069	254	111	0.640395	0.640395	NUM
ejpam-5069	254	112	,	,	PUNCT
ejpam-5069	254	113	0.667157	0.667157	NUM
ejpam-5069	254	114	,	,	PUNCT
ejpam-5069	254	115	0.679829	0.679829	NUM
ejpam-5069	254	116	,	,	PUNCT
ejpam-5069	254	117	0.703119	0.703119	NUM
ejpam-5069	254	118	,	,	PUNCT
ejpam-5069	254	119	0.715158	0.715158	NUM
ejpam-5069	254	120	,	,	PUNCT
ejpam-5069	254	121	0.722613	0.722613	NUM
ejpam-5069	254	122	,	,	PUNCT
ejpam-5069	254	123	0.729986	0.729986	NUM
ejpam-5069	254	124	,	,	PUNCT
ejpam-5069	254	125	0.744881	0.744881	NUM
ejpam-5069	254	126	,	,	PUNCT
ejpam-5069	254	127	0.767135	0.767135	NUM
ejpam-5069	254	128	,	,	PUNCT
ejpam-5069	254	129	0.811159	0.811159	NUM
ejpam-5069	254	130	,	,	PUNCT
ejpam-5069	254	131	0.824860	0.824860	NUM
ejpam-5069	254	132	.	.	PUNCT
ejpam-5069	255	1	for	for	ADP
ejpam-5069	255	2	the	the	DET
ejpam-5069	255	3	suggested	suggest	VERB
ejpam-5069	255	4	as	as	ADV
ejpam-5069	255	5	well	well	ADV
ejpam-5069	255	6	as	as	ADP
ejpam-5069	255	7	alternative	alternative	ADJ
ejpam-5069	255	8	comparative	comparative	ADJ
ejpam-5069	255	9	models	model	NOUN
ejpam-5069	255	10	,	,	PUNCT
ejpam-5069	255	11	table	table	NOUN
ejpam-5069	255	12	5	5	NUM
ejpam-5069	255	13	displays	display	VERB
ejpam-5069	255	14	the	the	DET
ejpam-5069	255	15	calculated	calculated	ADJ
ejpam-5069	255	16	values	value	NOUN
ejpam-5069	255	17	of	of	ADP
ejpam-5069	255	18	the	the	DET
ejpam-5069	255	19	model	model	NOUN
ejpam-5069	255	20	parameters	parameter	NOUN
ejpam-5069	255	21	,	,	PUNCT
ejpam-5069	255	22	together	together	ADV
ejpam-5069	255	23	with	with	ADP
ejpam-5069	255	24	their	their	PRON
ejpam-5069	255	25	accompanying	accompanying	ADJ
ejpam-5069	255	26	standard	standard	ADJ
ejpam-5069	255	27	errors	error	NOUN
ejpam-5069	255	28	and	and	CCONJ
ejpam-5069	255	29	log	log	NOUN
ejpam-5069	255	30	-	-	PUNCT
ejpam-5069	255	31	likelihood	likelihood	NOUN
ejpam-5069	255	32	.	.	PUNCT
ejpam-5069	256	1	table	table	NOUN
ejpam-5069	256	2	6	6	NUM
ejpam-5069	256	3	also	also	ADV
ejpam-5069	256	4	shows	show	VERB
ejpam-5069	256	5	the	the	DET
ejpam-5069	256	6	values	value	NOUN
ejpam-5069	256	7	of	of	ADP
ejpam-5069	256	8	the	the	DET
ejpam-5069	256	9	model	model	NOUN
ejpam-5069	256	10	selection	selection	NOUN
ejpam-5069	256	11	criteria	criterion	NOUN
ejpam-5069	256	12	taken	take	VERB
ejpam-5069	256	13	into	into	ADP
ejpam-5069	256	14	consideration	consideration	NOUN
ejpam-5069	256	15	for	for	ADP
ejpam-5069	256	16	the	the	DET
ejpam-5069	256	17	proposed	propose	VERB
ejpam-5069	256	18	and	and	CCONJ
ejpam-5069	256	19	comparable	comparable	ADJ
ejpam-5069	256	20	distributions	distribution	NOUN
ejpam-5069	256	21	.	.	PUNCT
ejpam-5069	257	1	it	it	PRON
ejpam-5069	257	2	is	be	AUX
ejpam-5069	257	3	evident	evident	ADJ
ejpam-5069	257	4	from	from	ADP
ejpam-5069	257	5	examining	examine	VERB
ejpam-5069	257	6	all	all	PRON
ejpam-5069	257	7	of	of	ADP
ejpam-5069	257	8	the	the	DET
ejpam-5069	257	9	results	result	NOUN
ejpam-5069	257	10	of	of	ADP
ejpam-5069	257	11	censored	censored	ADJ
ejpam-5069	257	12	data	datum	NOUN
ejpam-5069	257	13	for	for	ADP
ejpam-5069	257	14	these	these	DET
ejpam-5069	257	15	distributions	distribution	NOUN
ejpam-5069	257	16	that	that	SCONJ
ejpam-5069	257	17	the	the	DET
ejpam-5069	257	18	suggested	suggest	VERB
ejpam-5069	257	19	second	second	ADJ
ejpam-5069	257	20	order	order	NOUN
ejpam-5069	257	21	transmuted	transmute	VERB
ejpam-5069	257	22	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	257	23	distribution	distribution	NOUN
ejpam-5069	257	24	outperforms	outperform	VERB
ejpam-5069	257	25	the	the	DET
ejpam-5069	257	26	crtkw	crtkw	NOUN
ejpam-5069	257	27	,	,	PUNCT
ejpam-5069	257	28	tkw	tkw	NOUN
ejpam-5069	257	29	,	,	PUNCT
ejpam-5069	257	30	and	and	CCONJ
ejpam-5069	257	31	kw	kw	NOUN
ejpam-5069	257	32	distributions	distribution	NOUN
ejpam-5069	257	33	.	.	PUNCT
ejpam-5069	258	1	the	the	DET
ejpam-5069	258	2	lines	line	NOUN
ejpam-5069	258	3	for	for	ADP
ejpam-5069	258	4	the	the	DET
ejpam-5069	258	5	proposed	propose	VERB
ejpam-5069	258	6	and	and	CCONJ
ejpam-5069	258	7	competing	compete	VERB
ejpam-5069	258	8	models	model	NOUN
ejpam-5069	258	9	are	be	AUX
ejpam-5069	258	10	now	now	ADV
ejpam-5069	258	11	depicted	depict	VERB
ejpam-5069	258	12	in	in	ADP
ejpam-5069	258	13	figure	figure	NOUN
ejpam-5069	258	14	8	8	NUM
ejpam-5069	258	15	together	together	ADV
ejpam-5069	258	16	with	with	ADP
ejpam-5069	258	17	the	the	DET
ejpam-5069	258	18	empirical	empirical	ADJ
ejpam-5069	258	19	distribution	distribution	NOUN
ejpam-5069	258	20	function	function	NOUN
ejpam-5069	258	21	(	(	PUNCT
ejpam-5069	258	22	ecdf	ecdf	ADJ
ejpam-5069	258	23	,	,	PUNCT
ejpam-5069	258	24	epdf	epdf	PROPN
ejpam-5069	258	25	)	)	PUNCT
ejpam-5069	258	26	for	for	ADP
ejpam-5069	258	27	the	the	DET
ejpam-5069	258	28	data	datum	NOUN
ejpam-5069	258	29	pertaining	pertain	VERB
ejpam-5069	258	30	to	to	AUX
ejpam-5069	258	31	censored	censor	VERB
ejpam-5069	258	32	.	.	PUNCT
ejpam-5069	259	1	the	the	DET
ejpam-5069	259	2	suggested	suggest	VERB
ejpam-5069	259	3	ctkw	ctkw	NOUN
ejpam-5069	259	4	distribution	distribution	NOUN
ejpam-5069	259	5	exhibits	exhibit	VERB
ejpam-5069	259	6	a	a	DET
ejpam-5069	259	7	greater	great	ADJ
ejpam-5069	259	8	fit	fit	NOUN
ejpam-5069	259	9	to	to	ADP
ejpam-5069	259	10	the	the	DET
ejpam-5069	259	11	censored	censored	ADJ
ejpam-5069	259	12	data	datum	NOUN
ejpam-5069	259	13	,	,	PUNCT
ejpam-5069	259	14	indicating	indicate	VERB
ejpam-5069	259	15	that	that	SCONJ
ejpam-5069	259	16	it	it	PRON
ejpam-5069	259	17	is	be	AUX
ejpam-5069	259	18	significantly	significantly	ADV
ejpam-5069	259	19	more	more	ADV
ejpam-5069	259	20	closely	closely	ADV
ejpam-5069	259	21	related	relate	VERB
ejpam-5069	259	22	to	to	ADP
ejpam-5069	259	23	the	the	DET
ejpam-5069	259	24	empirical	empirical	ADJ
ejpam-5069	259	25	data	datum	NOUN
ejpam-5069	259	26	than	than	ADP
ejpam-5069	259	27	the	the	DET
ejpam-5069	259	28	other	other	ADJ
ejpam-5069	259	29	competing	compete	VERB
ejpam-5069	259	30	models	model	NOUN
ejpam-5069	259	31	,	,	PUNCT
ejpam-5069	259	32	as	as	SCONJ
ejpam-5069	259	33	seen	see	VERB
ejpam-5069	259	34	in	in	ADP
ejpam-5069	259	35	figure	figure	NOUN
ejpam-5069	259	36	8	8	NUM
ejpam-5069	259	37	.	.	PUNCT
ejpam-5069	260	1	t.	t.	PROPN
ejpam-5069	260	2	tushar	tushar	PROPN
ejpam-5069	260	3	et	et	PROPN
ejpam-5069	260	4	al	al	PROPN
ejpam-5069	260	5	.	.	PUNCT
ejpam-5069	260	6	/	/	SYM
ejpam-5069	260	7	eur	eur	PROPN
ejpam-5069	260	8	.	.	PUNCT
ejpam-5069	261	1	j.	j.	PROPN
ejpam-5069	261	2	pure	pure	PROPN
ejpam-5069	261	3	appl	appl	PROPN
ejpam-5069	261	4	.	.	PROPN
ejpam-5069	261	5	math	math	PROPN
ejpam-5069	261	6	,	,	PUNCT
ejpam-5069	261	7	17	17	NUM
ejpam-5069	261	8	(	(	PUNCT
ejpam-5069	261	9	2	2	NUM
ejpam-5069	261	10	)	)	PUNCT
ejpam-5069	261	11	(	(	PUNCT
ejpam-5069	261	12	2024	2024	NUM
ejpam-5069	261	13	)	)	PUNCT
ejpam-5069	261	14	,	,	PUNCT
ejpam-5069	261	15	616	616	NUM
ejpam-5069	261	16	-	-	SYM
ejpam-5069	261	17	637	637	NUM
ejpam-5069	261	18	631	631	NUM
ejpam-5069	261	19	0.00	0.00	NUM
ejpam-5069	261	20	0.25	0.25	NUM
ejpam-5069	261	21	0.50	0.50	NUM
ejpam-5069	261	22	0.75	0.75	NUM
ejpam-5069	261	23	1.00	1.00	NUM
ejpam-5069	261	24	0.00	0.00	NUM
ejpam-5069	261	25	0.25	0.25	NUM
ejpam-5069	261	26	0.50	0.50	NUM
ejpam-5069	261	27	0.75	0.75	NUM
ejpam-5069	261	28	1.00	1.00	NUM
ejpam-5069	261	29	empirical	empirical	ADJ
ejpam-5069	261	30	cdf	cdf	PROPN
ejpam-5069	261	31	t	t	NOUN
ejpam-5069	261	32	he	he	PRON
ejpam-5069	261	33	or	or	CCONJ
ejpam-5069	261	34	et	et	PRON
ejpam-5069	261	35	ic	ic	PROPN
ejpam-5069	262	1	al	al	PROPN
ejpam-5069	262	2	c	c	PROPN
ejpam-5069	263	1	d	d	X
ejpam-5069	263	2	f	f	PROPN
ejpam-5069	263	3	probability−probability	probability−probability	NOUN
ejpam-5069	263	4	plot	plot	NOUN
ejpam-5069	263	5	0.00	0.00	NUM
ejpam-5069	263	6	0.25	0.25	NUM
ejpam-5069	263	7	0.50	0.50	NUM
ejpam-5069	263	8	0.75	0.75	NUM
ejpam-5069	263	9	1.00	1.00	NUM
ejpam-5069	263	10	0.00	0.00	NUM
ejpam-5069	263	11	0.25	0.25	NUM
ejpam-5069	263	12	0.50	0.50	NUM
ejpam-5069	263	13	0.75	0.75	NUM
ejpam-5069	263	14	1.00	1.00	NUM
ejpam-5069	263	15	data	datum	NOUN
ejpam-5069	263	16	quantiles	quantile	NOUN
ejpam-5069	263	17	t	t	PROPN
ejpam-5069	263	18	he	he	PRON
ejpam-5069	263	19	or	or	CCONJ
ejpam-5069	263	20	et	et	PRON
ejpam-5069	264	1	ic	ic	PROPN
ejpam-5069	264	2	al	al	PROPN
ejpam-5069	264	3	q	q	PROPN
ejpam-5069	264	4	ua	ua	PROPN
ejpam-5069	264	5	nt	not	PART
ejpam-5069	264	6	ile	ile	PROPN
ejpam-5069	264	7	s	s	PART
ejpam-5069	264	8	quantile−quantile	quantile−quantile	ADJ
ejpam-5069	264	9	plot	plot	NOUN
ejpam-5069	264	10	0.00	0.00	NUM
ejpam-5069	264	11	0.25	0.25	NUM
ejpam-5069	264	12	0.50	0.50	NUM
ejpam-5069	264	13	0.75	0.75	NUM
ejpam-5069	264	14	1.00	1.00	NUM
ejpam-5069	264	15	0.00	0.00	NUM
ejpam-5069	264	16	0.25	0.25	NUM
ejpam-5069	264	17	0.50	0.50	NUM
ejpam-5069	264	18	0.75	0.75	NUM
ejpam-5069	264	19	1.00	1.00	NUM
ejpam-5069	264	20	r	r	NOUN
ejpam-5069	264	21	/	/	SYM
ejpam-5069	264	22	n	n	NOUN
ejpam-5069	264	23	f	f	NOUN
ejpam-5069	264	24	total	total	ADJ
ejpam-5069	264	25	time	time	NOUN
ejpam-5069	264	26	on	on	ADP
ejpam-5069	264	27	test	test	NOUN
ejpam-5069	264	28	plot	plot	NOUN
ejpam-5069	264	29	0	0	NUM
ejpam-5069	264	30	10	10	NUM
ejpam-5069	264	31	20	20	NUM
ejpam-5069	264	32	30	30	NUM
ejpam-5069	264	33	40	40	NUM
ejpam-5069	264	34	0.00	0.00	NUM
ejpam-5069	264	35	0.25	0.25	NUM
ejpam-5069	264	36	0.50	0.50	NUM
ejpam-5069	264	37	0.75	0.75	NUM
ejpam-5069	264	38	1.00	1.00	NUM
ejpam-5069	264	39	t	t	NOUN
ejpam-5069	264	40	h	h	PROPN
ejpam-5069	264	41	(	(	PUNCT
ejpam-5069	264	42	t	t	PROPN
ejpam-5069	264	43	)	)	PUNCT
ejpam-5069	264	44	hazard	hazard	NOUN
ejpam-5069	264	45	rate	rate	NOUN
ejpam-5069	264	46	plot	plot	NOUN
ejpam-5069	264	47	figure	figure	NOUN
ejpam-5069	264	48	7	7	NUM
ejpam-5069	264	49	:	:	PUNCT
ejpam-5069	264	50	p	p	NOUN
ejpam-5069	264	51	-	-	PUNCT
ejpam-5069	264	52	p	p	X
ejpam-5069	264	53	(	(	PUNCT
ejpam-5069	264	54	upper	upper	ADJ
ejpam-5069	264	55	left	left	NOUN
ejpam-5069	264	56	)	)	PUNCT
ejpam-5069	264	57	,	,	PUNCT
ejpam-5069	264	58	q	q	NOUN
ejpam-5069	264	59	-	-	PUNCT
ejpam-5069	264	60	q	q	NOUN
ejpam-5069	264	61	(	(	PUNCT
ejpam-5069	264	62	upper	upper	ADJ
ejpam-5069	264	63	right	right	NOUN
ejpam-5069	264	64	)	)	PUNCT
ejpam-5069	264	65	,	,	PUNCT
ejpam-5069	264	66	ttt	ttt	PROPN
ejpam-5069	264	67	(	(	PUNCT
ejpam-5069	264	68	lower	low	ADJ
ejpam-5069	264	69	left	left	ADJ
ejpam-5069	264	70	)	)	PUNCT
ejpam-5069	264	71	,	,	PUNCT
ejpam-5069	264	72	and	and	CCONJ
ejpam-5069	264	73	hazard	hazard	NOUN
ejpam-5069	264	74	(	(	PUNCT
ejpam-5069	264	75	lower	low	ADJ
ejpam-5069	264	76	right	right	ADJ
ejpam-5069	264	77	)	)	PUNCT
ejpam-5069	264	78	plots	plot	NOUN
ejpam-5069	264	79	(	(	PUNCT
ejpam-5069	264	80	respectively	respectively	ADV
ejpam-5069	264	81	)	)	PUNCT
ejpam-5069	264	82	of	of	ADP
ejpam-5069	264	83	the	the	DET
ejpam-5069	264	84	proposed	propose	VERB
ejpam-5069	264	85	ctkw	ctkw	NOUN
ejpam-5069	264	86	distribution	distribution	NOUN
ejpam-5069	264	87	for	for	ADP
ejpam-5069	264	88	lifetime	lifetime	NOUN
ejpam-5069	264	89	data	datum	NOUN
ejpam-5069	264	90	7.2	7.2	NUM
ejpam-5069	264	91	.	.	PUNCT
ejpam-5069	265	1	application	application	NOUN
ejpam-5069	265	2	of	of	ADP
ejpam-5069	265	3	cubic	cubic	ADJ
ejpam-5069	265	4	transmuted	transmute	VERB
ejpam-5069	265	5	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	265	6	distribution	distribution	NOUN
ejpam-5069	265	7	for	for	ADP
ejpam-5069	265	8	lifetime	lifetime	NOUN
ejpam-5069	265	9	data	datum	NOUN
ejpam-5069	265	10	by	by	ADP
ejpam-5069	265	11	utilizing	utilize	VERB
ejpam-5069	265	12	an	an	DET
ejpam-5069	265	13	actual	actual	ADJ
ejpam-5069	265	14	data	datum	NOUN
ejpam-5069	265	15	set	set	VERB
ejpam-5069	265	16	,	,	PUNCT
ejpam-5069	265	17	we	we	PRON
ejpam-5069	265	18	have	have	AUX
ejpam-5069	265	19	provided	provide	VERB
ejpam-5069	265	20	an	an	DET
ejpam-5069	265	21	implementation	implementation	NOUN
ejpam-5069	265	22	of	of	ADP
ejpam-5069	265	23	the	the	DET
ejpam-5069	265	24	suggested	suggest	VERB
ejpam-5069	265	25	ctkw	ctkw	NOUN
ejpam-5069	265	26	distribution	distribution	NOUN
ejpam-5069	265	27	in	in	ADP
ejpam-5069	265	28	this	this	DET
ejpam-5069	265	29	subsection	subsection	NOUN
ejpam-5069	265	30	.	.	PUNCT
ejpam-5069	266	1	30	30	NUM
ejpam-5069	266	2	electrical	electrical	ADJ
ejpam-5069	266	3	gadgets	gadget	NOUN
ejpam-5069	266	4	’	'	PUNCT
ejpam-5069	266	5	lifetime	lifetime	NOUN
ejpam-5069	266	6	(	(	PUNCT
ejpam-5069	266	7	measured	measure	VERB
ejpam-5069	266	8	in	in	ADP
ejpam-5069	266	9	days	day	NOUN
ejpam-5069	266	10	)	)	PUNCT
ejpam-5069	266	11	are	be	AUX
ejpam-5069	266	12	covered	cover	VERB
ejpam-5069	266	13	by	by	ADP
ejpam-5069	266	14	the	the	DET
ejpam-5069	266	15	dataset	dataset	NOUN
ejpam-5069	266	16	,	,	PUNCT
ejpam-5069	266	17	which	which	PRON
ejpam-5069	266	18	was	be	AUX
ejpam-5069	266	19	used	use	VERB
ejpam-5069	266	20	by	by	ADP
ejpam-5069	266	21	rahman	rahman	PROPN
ejpam-5069	266	22	et	et	PROPN
ejpam-5069	266	23	al	al	PROPN
ejpam-5069	266	24	.	.	PUNCT
ejpam-5069	267	1	[	[	X
ejpam-5069	267	2	18	18	NUM
ejpam-5069	267	3	]	]	PUNCT
ejpam-5069	267	4	as	as	SCONJ
ejpam-5069	267	5	given	give	VERB
ejpam-5069	267	6	below	below	ADP
ejpam-5069	267	7	:	:	PUNCT
ejpam-5069	267	8	0.020	0.020	NUM
ejpam-5069	267	9	,	,	PUNCT
ejpam-5069	267	10	0.029	0.029	NUM
ejpam-5069	267	11	,	,	PUNCT
ejpam-5069	267	12	0.034	0.034	NUM
ejpam-5069	267	13	,	,	PUNCT
ejpam-5069	267	14	0.044	0.044	NUM
ejpam-5069	267	15	,	,	PUNCT
ejpam-5069	267	16	0.057	0.057	NUM
ejpam-5069	267	17	,	,	PUNCT
ejpam-5069	267	18	0.096	0.096	NUM
ejpam-5069	267	19	,	,	PUNCT
ejpam-5069	267	20	0.106	0.106	NUM
ejpam-5069	267	21	,	,	PUNCT
ejpam-5069	267	22	0.139	0.139	NUM
ejpam-5069	267	23	,	,	PUNCT
ejpam-5069	267	24	0.156	0.156	NUM
ejpam-5069	267	25	,	,	PUNCT
ejpam-5069	267	26	0.164	0.164	NUM
ejpam-5069	267	27	,	,	PUNCT
ejpam-5069	267	28	0.167	0.167	NUM
ejpam-5069	267	29	,	,	PUNCT
ejpam-5069	267	30	0.177	0.177	NUM
ejpam-5069	267	31	,	,	PUNCT
ejpam-5069	267	32	0.250	0.250	NUM
ejpam-5069	267	33	,	,	PUNCT
ejpam-5069	267	34	0.326	0.326	NUM
ejpam-5069	267	35	,	,	PUNCT
ejpam-5069	267	36	0.406	0.406	NUM
ejpam-5069	267	37	,	,	PUNCT
ejpam-5069	267	38	0.607	0.607	NUM
ejpam-5069	267	39	,	,	PUNCT
ejpam-5069	267	40	0.650	0.650	NUM
ejpam-5069	267	41	,	,	PUNCT
ejpam-5069	267	42	0.672	0.672	NUM
ejpam-5069	267	43	,	,	PUNCT
ejpam-5069	267	44	0.676	0.676	NUM
ejpam-5069	267	45	,	,	PUNCT
ejpam-5069	267	46	0.736	0.736	NUM
ejpam-5069	267	47	,	,	PUNCT
ejpam-5069	267	48	0.817	0.817	NUM
ejpam-5069	267	49	,	,	PUNCT
ejpam-5069	267	50	0.838	0.838	NUM
ejpam-5069	267	51	,	,	PUNCT
ejpam-5069	267	52	0.910	0.910	NUM
ejpam-5069	267	53	,	,	PUNCT
ejpam-5069	267	54	0.931	0.931	NUM
ejpam-5069	267	55	,	,	PUNCT
ejpam-5069	267	56	0.946	0.946	NUM
ejpam-5069	267	57	,	,	PUNCT
ejpam-5069	267	58	0.953	0.953	NUM
ejpam-5069	267	59	,	,	PUNCT
ejpam-5069	267	60	0.961	0.961	NUM
ejpam-5069	267	61	,	,	PUNCT
ejpam-5069	267	62	0.981	0.981	NUM
ejpam-5069	267	63	,	,	PUNCT
ejpam-5069	267	64	0.982	0.982	NUM
ejpam-5069	267	65	,	,	PUNCT
ejpam-5069	267	66	0.990	0.990	NUM
ejpam-5069	267	67	.	.	PUNCT
ejpam-5069	268	1	the	the	DET
ejpam-5069	268	2	summary	summary	NOUN
ejpam-5069	268	3	statistics	statistic	NOUN
ejpam-5069	268	4	of	of	ADP
ejpam-5069	268	5	the	the	DET
ejpam-5069	268	6	censored	censor	VERB
ejpam-5069	268	7	data	datum	NOUN
ejpam-5069	268	8	are	be	AUX
ejpam-5069	268	9	given	give	VERB
ejpam-5069	268	10	in	in	ADP
ejpam-5069	268	11	table	table	NOUN
ejpam-5069	268	12	4	4	NUM
ejpam-5069	268	13	show	show	VERB
ejpam-5069	268	14	that	that	SCONJ
ejpam-5069	268	15	the	the	DET
ejpam-5069	268	16	data	datum	NOUN
ejpam-5069	268	17	has	have	VERB
ejpam-5069	268	18	a	a	DET
ejpam-5069	268	19	somewhat	somewhat	ADV
ejpam-5069	268	20	positively	positively	ADV
ejpam-5069	268	21	skewed	skewed	ADJ
ejpam-5069	268	22	distribution	distribution	NOUN
ejpam-5069	268	23	.	.	PUNCT
ejpam-5069	269	1	all	all	PRON
ejpam-5069	269	2	of	of	ADP
ejpam-5069	269	3	the	the	DET
ejpam-5069	269	4	results	result	NOUN
ejpam-5069	269	5	of	of	ADP
ejpam-5069	269	6	this	this	DET
ejpam-5069	269	7	lifetime	lifetime	NOUN
ejpam-5069	269	8	data	datum	NOUN
ejpam-5069	269	9	computed	compute	VERB
ejpam-5069	269	10	for	for	ADP
ejpam-5069	269	11	the	the	DET
ejpam-5069	269	12	proposed	propose	VERB
ejpam-5069	269	13	and	and	CCONJ
ejpam-5069	269	14	competing	compete	VERB
ejpam-5069	269	15	models	model	NOUN
ejpam-5069	269	16	are	be	AUX
ejpam-5069	269	17	then	then	ADV
ejpam-5069	269	18	displayed	display	VERB
ejpam-5069	269	19	in	in	ADP
ejpam-5069	269	20	table	table	NOUN
ejpam-5069	269	21	7	7	NUM
ejpam-5069	269	22	and	and	CCONJ
ejpam-5069	269	23	8	8	NUM
ejpam-5069	269	24	respectively	respectively	ADV
ejpam-5069	269	25	which	which	PRON
ejpam-5069	269	26	shows	show	VERB
ejpam-5069	269	27	better	well	ADJ
ejpam-5069	269	28	applicability	applicability	NOUN
ejpam-5069	269	29	of	of	ADP
ejpam-5069	269	30	the	the	DET
ejpam-5069	269	31	ctkw	ctkw	ADJ
ejpam-5069	269	32	distribution	distribution	NOUN
ejpam-5069	269	33	.	.	PUNCT
ejpam-5069	270	1	eventually	eventually	ADV
ejpam-5069	270	2	,	,	PUNCT
ejpam-5069	270	3	some	some	DET
ejpam-5069	270	4	lines	line	NOUN
ejpam-5069	270	5	for	for	ADP
ejpam-5069	270	6	the	the	DET
ejpam-5069	270	7	lifetime	lifetime	NOUN
ejpam-5069	270	8	data	datum	NOUN
ejpam-5069	270	9	,	,	PUNCT
ejpam-5069	270	10	for	for	ADP
ejpam-5069	270	11	both	both	CCONJ
ejpam-5069	270	12	the	the	DET
ejpam-5069	270	13	ecdf	ecdf	ADJ
ejpam-5069	270	14	and	and	CCONJ
ejpam-5069	270	15	the	the	DET
ejpam-5069	270	16	epdf	epdf	NOUN
ejpam-5069	270	17	,	,	PUNCT
ejpam-5069	270	18	are	be	AUX
ejpam-5069	270	19	shown	show	VERB
ejpam-5069	270	20	in	in	ADP
ejpam-5069	270	21	figure	figure	NOUN
ejpam-5069	270	22	9	9	NUM
ejpam-5069	270	23	.	.	PUNCT
ejpam-5069	271	1	these	these	DET
ejpam-5069	271	2	lines	line	NOUN
ejpam-5069	271	3	include	include	VERB
ejpam-5069	271	4	empirical	empirical	ADJ
ejpam-5069	271	5	lines	line	NOUN
ejpam-5069	271	6	as	as	ADV
ejpam-5069	271	7	well	well	ADV
ejpam-5069	271	8	as	as	ADP
ejpam-5069	271	9	all	all	DET
ejpam-5069	271	10	the	the	DET
ejpam-5069	271	11	distributions	distribution	NOUN
ejpam-5069	271	12	taken	take	VERB
ejpam-5069	271	13	into	into	ADP
ejpam-5069	271	14	consideration	consideration	NOUN
ejpam-5069	271	15	here	here	ADV
ejpam-5069	271	16	.	.	PUNCT
ejpam-5069	272	1	it	it	PRON
ejpam-5069	272	2	can	can	AUX
ejpam-5069	272	3	be	be	AUX
ejpam-5069	272	4	seen	see	VERB
ejpam-5069	272	5	from	from	ADP
ejpam-5069	272	6	the	the	DET
ejpam-5069	272	7	plotted	plot	VERB
ejpam-5069	272	8	figure	figure	NOUN
ejpam-5069	272	9	9	9	NUM
ejpam-5069	272	10	that	that	SCONJ
ejpam-5069	272	11	the	the	DET
ejpam-5069	272	12	suggested	suggest	VERB
ejpam-5069	272	13	t.	t.	PROPN
ejpam-5069	272	14	tushar	tushar	PROPN
ejpam-5069	272	15	et	et	PROPN
ejpam-5069	272	16	al	al	PROPN
ejpam-5069	272	17	.	.	PUNCT
ejpam-5069	272	18	/	/	SYM
ejpam-5069	272	19	eur	eur	PROPN
ejpam-5069	272	20	.	.	PUNCT
ejpam-5069	273	1	j.	j.	PROPN
ejpam-5069	273	2	pure	pure	PROPN
ejpam-5069	273	3	appl	appl	PROPN
ejpam-5069	273	4	.	.	PROPN
ejpam-5069	273	5	math	math	PROPN
ejpam-5069	273	6	,	,	PUNCT
ejpam-5069	273	7	17	17	NUM
ejpam-5069	273	8	(	(	PUNCT
ejpam-5069	273	9	2	2	NUM
ejpam-5069	273	10	)	)	PUNCT
ejpam-5069	273	11	(	(	PUNCT
ejpam-5069	273	12	2024	2024	NUM
ejpam-5069	273	13	)	)	PUNCT
ejpam-5069	273	14	,	,	PUNCT
ejpam-5069	273	15	616	616	NUM
ejpam-5069	273	16	-	-	SYM
ejpam-5069	273	17	637	637	NUM
ejpam-5069	273	18	632	632	NUM
ejpam-5069	273	19	table	table	NOUN
ejpam-5069	273	20	5	5	NUM
ejpam-5069	273	21	:	:	PUNCT
ejpam-5069	273	22	log	log	NOUN
ejpam-5069	273	23	-	-	PUNCT
ejpam-5069	273	24	likelihood	likelihood	NOUN
ejpam-5069	273	25	estimates	estimate	NOUN
ejpam-5069	273	26	for	for	ADP
ejpam-5069	273	27	various	various	ADJ
ejpam-5069	273	28	distributions	distribution	NOUN
ejpam-5069	273	29	together	together	ADV
ejpam-5069	273	30	with	with	ADP
ejpam-5069	273	31	the	the	DET
ejpam-5069	273	32	estimated	estimate	VERB
ejpam-5069	273	33	parameter	parameter	NOUN
ejpam-5069	273	34	and	and	CCONJ
ejpam-5069	273	35	related	relate	VERB
ejpam-5069	273	36	ses	se	NOUN
ejpam-5069	273	37	distribution	distribution	NOUN
ejpam-5069	273	38	parameter	parameter	NOUN
ejpam-5069	273	39	estimate	estimate	NOUN
ejpam-5069	273	40	se	se	PROPN
ejpam-5069	273	41	ll	ll	AUX
ejpam-5069	273	42	ctkw	ctkw	VERB
ejpam-5069	273	43	a	a	DET
ejpam-5069	273	44	b	b	NOUN
ejpam-5069	273	45	λ	λ	PROPN
ejpam-5069	273	46	4.073	4.073	NUM
ejpam-5069	273	47	6.435	6.435	NUM
ejpam-5069	273	48	-1.000	-1.000	NUM
ejpam-5069	273	49	0.222	0.222	NUM
ejpam-5069	273	50	6.246	6.246	NUM
ejpam-5069	273	51	0.586	0.586	NUM
ejpam-5069	273	52	8.213	8.213	NUM
ejpam-5069	273	53	crtkw	crtkw	VERB
ejpam-5069	273	54	a	a	DET
ejpam-5069	273	55	b	b	NOUN
ejpam-5069	273	56	λ1	λ1	ADJ
ejpam-5069	273	57	λ2	λ2	NOUN
ejpam-5069	273	58	3.330	3.330	NUM
ejpam-5069	273	59	5.021	5.021	NUM
ejpam-5069	273	60	1.000	1.000	NUM
ejpam-5069	273	61	-0.286	-0.286	NUM
ejpam-5069	273	62	3.383	3.383	NUM
ejpam-5069	273	63	6.831	6.831	NUM
ejpam-5069	273	64	2.461	2.461	NUM
ejpam-5069	273	65	3.769	3.769	NUM
ejpam-5069	273	66	7.896	7.896	NUM
ejpam-5069	273	67	tkw	tkw	NOUN
ejpam-5069	273	68	a	a	DET
ejpam-5069	273	69	b	b	X
ejpam-5069	273	70	λ	λ	NOUN
ejpam-5069	273	71	8.878	8.878	NUM
ejpam-5069	273	72	0.774	0.774	NUM
ejpam-5069	273	73	0.140	0.140	NUM
ejpam-5069	273	74	2.780	2.780	NUM
ejpam-5069	273	75	3.450	3.450	NUM
ejpam-5069	273	76	-0.402	-0.402	NUM
ejpam-5069	273	77	6.989	6.989	NUM
ejpam-5069	273	78	kw	kw	INTJ
ejpam-5069	273	79	a	a	DET
ejpam-5069	273	80	b	b	PROPN
ejpam-5069	273	81	3.145	3.145	NUM
ejpam-5069	273	82	3.412	3.412	NUM
ejpam-5069	273	83	1.434	1.434	NUM
ejpam-5069	273	84	0.023	0.023	NUM
ejpam-5069	273	85	6.791	6.791	NUM
ejpam-5069	273	86	table	table	NOUN
ejpam-5069	273	87	6	6	NUM
ejpam-5069	273	88	:	:	PUNCT
ejpam-5069	273	89	estimation	estimation	NOUN
ejpam-5069	273	90	of	of	ADP
ejpam-5069	273	91	the	the	DET
ejpam-5069	273	92	selection	selection	NOUN
ejpam-5069	273	93	criteria	criterion	NOUN
ejpam-5069	273	94	for	for	ADP
ejpam-5069	273	95	models	model	NOUN
ejpam-5069	273	96	distribution	distribution	NOUN
ejpam-5069	273	97	2ll	2ll	NOUN
ejpam-5069	273	98	aic	aic	PROPN
ejpam-5069	273	99	aicc	aicc	PROPN
ejpam-5069	273	100	bic	bic	PROPN
ejpam-5069	273	101	ks	ks	PROPN
ejpam-5069	273	102	a	a	DET
ejpam-5069	273	103	c	c	PROPN
ejpam-5069	273	104	-	-	PUNCT
ejpam-5069	273	105	vm	vm	NOUN
ejpam-5069	273	106	ctkw	ctkw	NOUN
ejpam-5069	273	107	16.425	16.425	NUM
ejpam-5069	273	108	-10.425	-10.425	SYM
ejpam-5069	273	109	-9.014	-9.014	PROPN
ejpam-5069	273	110	-7.292	-7.292	NUM
ejpam-5069	273	111	0.082	0.082	NUM
ejpam-5069	273	112	2.989	2.989	NUM
ejpam-5069	273	113	0.262	0.262	NUM
ejpam-5069	273	114	crtkw	crtkw	VERB
ejpam-5069	273	115	15.791	15.791	NUM
ejpam-5069	273	116	-7.791	-7.791	NOUN
ejpam-5069	273	117	-5.291	-5.291	PROPN
ejpam-5069	273	118	-3.613	-3.613	PROPN
ejpam-5069	273	119	0.096	0.096	NUM
ejpam-5069	273	120	3.303	3.303	NUM
ejpam-5069	273	121	0.272	0.272	NUM
ejpam-5069	273	122	tkw	tkw	VERB
ejpam-5069	273	123	13.977	13.977	NUM
ejpam-5069	273	124	-7.977	-7.977	NOUN
ejpam-5069	273	125	-6.566	-6.566	NUM
ejpam-5069	273	126	-4.844	-4.844	X
ejpam-5069	273	127	0.094	0.094	NUM
ejpam-5069	273	128	3.746	3.746	NUM
ejpam-5069	273	129	0.330	0.330	NUM
ejpam-5069	273	130	kw	kw	PROPN
ejpam-5069	273	131	13.582	13.582	NUM
ejpam-5069	273	132	-9.582	-9.582	NOUN
ejpam-5069	273	133	-8.915	-8.915	X
ejpam-5069	273	134	-7.493	-7.493	ADP
ejpam-5069	273	135	0.103	0.103	NUM
ejpam-5069	273	136	3.818	3.818	NUM
ejpam-5069	273	137	0.339	0.339	NUM
ejpam-5069	273	138	model	model	NOUN
ejpam-5069	273	139	’s	’s	PART
ejpam-5069	273	140	line	line	NOUN
ejpam-5069	273	141	is	be	AUX
ejpam-5069	273	142	significantly	significantly	ADV
ejpam-5069	273	143	closer	close	ADJ
ejpam-5069	273	144	to	to	ADP
ejpam-5069	273	145	the	the	DET
ejpam-5069	273	146	data	data	NOUN
ejpam-5069	273	147	points	point	NOUN
ejpam-5069	273	148	than	than	ADP
ejpam-5069	273	149	the	the	DET
ejpam-5069	273	150	lines	line	NOUN
ejpam-5069	273	151	for	for	ADP
ejpam-5069	273	152	the	the	DET
ejpam-5069	273	153	other	other	ADJ
ejpam-5069	273	154	models	model	NOUN
ejpam-5069	273	155	,	,	PUNCT
ejpam-5069	273	156	demonstrating	demonstrate	VERB
ejpam-5069	273	157	that	that	SCONJ
ejpam-5069	273	158	it	it	PRON
ejpam-5069	273	159	has	have	VERB
ejpam-5069	273	160	the	the	DET
ejpam-5069	273	161	best	good	ADJ
ejpam-5069	273	162	fit	fit	ADJ
ejpam-5069	273	163	overall	overall	ADJ
ejpam-5069	273	164	for	for	ADP
ejpam-5069	273	165	lifetime	lifetime	NOUN
ejpam-5069	273	166	data	datum	NOUN
ejpam-5069	273	167	.	.	PUNCT
ejpam-5069	274	1	8	8	X
ejpam-5069	274	2	.	.	X
ejpam-5069	274	3	concluding	conclude	VERB
ejpam-5069	274	4	remarks	remark	NOUN
ejpam-5069	274	5	in	in	ADP
ejpam-5069	274	6	this	this	DET
ejpam-5069	274	7	study	study	NOUN
ejpam-5069	274	8	,	,	PUNCT
ejpam-5069	274	9	a	a	DET
ejpam-5069	274	10	cubic	cubic	ADJ
ejpam-5069	274	11	transmutation	transmutation	NOUN
ejpam-5069	274	12	map	map	NOUN
ejpam-5069	274	13	has	have	AUX
ejpam-5069	274	14	been	be	AUX
ejpam-5069	274	15	used	use	VERB
ejpam-5069	274	16	to	to	PART
ejpam-5069	274	17	introduce	introduce	VERB
ejpam-5069	274	18	the	the	DET
ejpam-5069	274	19	generalization	generalization	NOUN
ejpam-5069	274	20	of	of	ADP
ejpam-5069	274	21	a	a	DET
ejpam-5069	274	22	second	second	ADJ
ejpam-5069	274	23	order	order	NOUN
ejpam-5069	274	24	transmuted	transmute	VERB
ejpam-5069	274	25	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	274	26	(	(	PUNCT
ejpam-5069	274	27	ctkw	ctkw	NOUN
ejpam-5069	274	28	)	)	PUNCT
ejpam-5069	274	29	distribution	distribution	NOUN
ejpam-5069	274	30	with	with	ADP
ejpam-5069	274	31	three	three	NUM
ejpam-5069	274	32	parameters	parameter	NOUN
ejpam-5069	274	33	.	.	PUNCT
ejpam-5069	275	1	the	the	DET
ejpam-5069	275	2	characteristics	characteristic	NOUN
ejpam-5069	275	3	of	of	ADP
ejpam-5069	275	4	the	the	DET
ejpam-5069	275	5	suggested	suggest	VERB
ejpam-5069	275	6	distribution	distribution	NOUN
ejpam-5069	275	7	are	be	AUX
ejpam-5069	275	8	covered	cover	VERB
ejpam-5069	275	9	,	,	PUNCT
ejpam-5069	275	10	and	and	CCONJ
ejpam-5069	275	11	the	the	DET
ejpam-5069	275	12	analytical	analytical	ADJ
ejpam-5069	275	13	forms	form	NOUN
ejpam-5069	275	14	of	of	ADP
ejpam-5069	275	15	the	the	DET
ejpam-5069	275	16	reliability	reliability	NOUN
ejpam-5069	275	17	,	,	PUNCT
ejpam-5069	275	18	hazard	hazard	NOUN
ejpam-5069	275	19	,	,	PUNCT
ejpam-5069	275	20	distribution	distribution	NOUN
ejpam-5069	275	21	,	,	PUNCT
ejpam-5069	275	22	and	and	CCONJ
ejpam-5069	275	23	density	density	NOUN
ejpam-5069	275	24	functions	function	NOUN
ejpam-5069	275	25	are	be	AUX
ejpam-5069	275	26	illustrated	illustrate	VERB
ejpam-5069	275	27	.	.	PUNCT
ejpam-5069	276	1	additionally	additionally	ADV
ejpam-5069	276	2	,	,	PUNCT
ejpam-5069	276	3	asymptotic	asymptotic	ADJ
ejpam-5069	276	4	log	log	NOUN
ejpam-5069	276	5	-	-	PUNCT
ejpam-5069	276	6	likelihood	likelihood	NOUN
ejpam-5069	276	7	inferences	inference	NOUN
ejpam-5069	276	8	are	be	AUX
ejpam-5069	276	9	examined	examine	VERB
ejpam-5069	276	10	in	in	ADP
ejpam-5069	276	11	relation	relation	NOUN
ejpam-5069	276	12	to	to	ADP
ejpam-5069	276	13	maximum	maximum	ADJ
ejpam-5069	276	14	likelihood	likelihood	NOUN
ejpam-5069	276	15	estimation	estimation	NOUN
ejpam-5069	276	16	,	,	PUNCT
ejpam-5069	276	17	and	and	CCONJ
ejpam-5069	276	18	a	a	DET
ejpam-5069	276	19	simulation	simulation	NOUN
ejpam-5069	276	20	investigation	investigation	NOUN
ejpam-5069	276	21	of	of	ADP
ejpam-5069	276	22	the	the	DET
ejpam-5069	276	23	suggested	suggest	VERB
ejpam-5069	276	24	distribution	distribution	NOUN
ejpam-5069	276	25	using	use	VERB
ejpam-5069	276	26	a	a	DET
ejpam-5069	276	27	simulated	simulate	VERB
ejpam-5069	276	28	random	random	ADJ
ejpam-5069	276	29	sample	sample	NOUN
ejpam-5069	276	30	is	be	AUX
ejpam-5069	276	31	conducted	conduct	VERB
ejpam-5069	276	32	to	to	PART
ejpam-5069	276	33	demonstrate	demonstrate	VERB
ejpam-5069	276	34	the	the	DET
ejpam-5069	276	35	suitability	suitability	NOUN
ejpam-5069	276	36	of	of	ADP
ejpam-5069	276	37	the	the	DET
ejpam-5069	276	38	model	model	NOUN
ejpam-5069	276	39	parameters	parameter	NOUN
ejpam-5069	276	40	for	for	ADP
ejpam-5069	276	41	this	this	DET
ejpam-5069	276	42	distribution	distribution	NOUN
ejpam-5069	276	43	.	.	PUNCT
ejpam-5069	277	1	the	the	DET
ejpam-5069	277	2	ctkw	ctkw	NOUN
ejpam-5069	277	3	distribution	distribution	NOUN
ejpam-5069	277	4	provides	provide	VERB
ejpam-5069	277	5	a	a	DET
ejpam-5069	277	6	better	well	ADJ
ejpam-5069	277	7	match	match	NOUN
ejpam-5069	277	8	than	than	ADP
ejpam-5069	277	9	all	all	DET
ejpam-5069	277	10	other	other	ADJ
ejpam-5069	277	11	comparable	comparable	ADJ
ejpam-5069	277	12	distributions	distribution	NOUN
ejpam-5069	277	13	in	in	ADP
ejpam-5069	277	14	terms	term	NOUN
ejpam-5069	277	15	of	of	ADP
ejpam-5069	277	16	the	the	DET
ejpam-5069	277	17	statistical	statistical	ADJ
ejpam-5069	277	18	significance	significance	NOUN
ejpam-5069	277	19	of	of	ADP
ejpam-5069	277	20	the	the	DET
ejpam-5069	277	21	model	model	NOUN
ejpam-5069	277	22	’s	’s	PART
ejpam-5069	277	23	suitability	suitability	NOUN
ejpam-5069	277	24	.	.	PUNCT
ejpam-5069	278	1	t.	t.	PROPN
ejpam-5069	278	2	tushar	tushar	PROPN
ejpam-5069	278	3	et	et	PROPN
ejpam-5069	278	4	al	al	PROPN
ejpam-5069	278	5	.	.	PUNCT
ejpam-5069	278	6	/	/	SYM
ejpam-5069	278	7	eur	eur	PROPN
ejpam-5069	278	8	.	.	PUNCT
ejpam-5069	279	1	j.	j.	PROPN
ejpam-5069	279	2	pure	pure	PROPN
ejpam-5069	279	3	appl	appl	PROPN
ejpam-5069	279	4	.	.	PROPN
ejpam-5069	279	5	math	math	PROPN
ejpam-5069	279	6	,	,	PUNCT
ejpam-5069	279	7	17	17	NUM
ejpam-5069	279	8	(	(	PUNCT
ejpam-5069	279	9	2	2	NUM
ejpam-5069	279	10	)	)	PUNCT
ejpam-5069	279	11	(	(	PUNCT
ejpam-5069	279	12	2024	2024	NUM
ejpam-5069	279	13	)	)	PUNCT
ejpam-5069	279	14	,	,	PUNCT
ejpam-5069	279	15	616	616	NUM
ejpam-5069	279	16	-	-	SYM
ejpam-5069	279	17	637	637	NUM
ejpam-5069	279	18	633	633	NUM
ejpam-5069	279	19	0.00	0.00	NUM
ejpam-5069	279	20	0.25	0.25	NUM
ejpam-5069	279	21	0.50	0.50	NUM
ejpam-5069	279	22	0.75	0.75	NUM
ejpam-5069	279	23	1.00	1.00	NUM
ejpam-5069	279	24	0.2	0.2	NUM
ejpam-5069	279	25	0.4	0.4	NUM
ejpam-5069	279	26	0.6	0.6	NUM
ejpam-5069	279	27	0.8	0.8	NUM
ejpam-5069	279	28	x	x	SYM
ejpam-5069	279	29	f	f	PROPN
ejpam-5069	279	30	n	n	CCONJ
ejpam-5069	279	31	(	(	PUNCT
ejpam-5069	279	32	x	x	X
ejpam-5069	279	33	)	)	PUNCT
ejpam-5069	279	34	distributions	distribution	NOUN
ejpam-5069	279	35	crtkw	crtkw	NOUN
ejpam-5069	279	36	ctkw	ctkw	NOUN
ejpam-5069	279	37	kw	kw	NOUN
ejpam-5069	279	38	tkw	tkw	NOUN
ejpam-5069	279	39	ecdf	ecdf	VERB
ejpam-5069	279	40	for	for	ADP
ejpam-5069	279	41	censored	censored	ADJ
ejpam-5069	279	42	data	datum	NOUN
ejpam-5069	279	43	0	0	NUM
ejpam-5069	279	44	1	1	NUM
ejpam-5069	279	45	2	2	NUM
ejpam-5069	279	46	3	3	NUM
ejpam-5069	279	47	0.25	0.25	NUM
ejpam-5069	279	48	0.50	0.50	NUM
ejpam-5069	279	49	0.75	0.75	NUM
ejpam-5069	279	50	x	x	SYM
ejpam-5069	280	1	d	d	X
ejpam-5069	280	2	en	en	ADP
ejpam-5069	280	3	si	si	PROPN
ejpam-5069	280	4	ty	ty	PROPN
ejpam-5069	280	5	distributions	distribution	NOUN
ejpam-5069	280	6	crtkw	crtkw	AUX
ejpam-5069	280	7	ctkw	ctkw	NOUN
ejpam-5069	280	8	kw	kw	NOUN
ejpam-5069	280	9	tkw	tkw	NOUN
ejpam-5069	280	10	epdf	epdf	NOUN
ejpam-5069	280	11	for	for	ADP
ejpam-5069	280	12	censored	censor	VERB
ejpam-5069	280	13	data	datum	NOUN
ejpam-5069	280	14	figure	figure	NOUN
ejpam-5069	280	15	8	8	NUM
ejpam-5069	280	16	:	:	PUNCT
ejpam-5069	280	17	ecdf	ecdf	ADJ
ejpam-5069	280	18	and	and	CCONJ
ejpam-5069	280	19	epdf	epdf	NOUN
ejpam-5069	280	20	for	for	ADP
ejpam-5069	280	21	censored	censor	VERB
ejpam-5069	280	22	data	datum	NOUN
ejpam-5069	280	23	table	table	NOUN
ejpam-5069	280	24	7	7	NUM
ejpam-5069	280	25	:	:	PUNCT
ejpam-5069	280	26	log	log	NOUN
ejpam-5069	280	27	-	-	PUNCT
ejpam-5069	280	28	likelihood	likelihood	NOUN
ejpam-5069	280	29	estimates	estimate	NOUN
ejpam-5069	280	30	for	for	ADP
ejpam-5069	280	31	various	various	ADJ
ejpam-5069	280	32	distributions	distribution	NOUN
ejpam-5069	280	33	together	together	ADV
ejpam-5069	280	34	with	with	ADP
ejpam-5069	280	35	the	the	DET
ejpam-5069	280	36	estimated	estimate	VERB
ejpam-5069	280	37	parameter	parameter	NOUN
ejpam-5069	280	38	and	and	CCONJ
ejpam-5069	280	39	related	relate	VERB
ejpam-5069	280	40	ses	se	NOUN
ejpam-5069	280	41	distribution	distribution	NOUN
ejpam-5069	280	42	parameter	parameter	NOUN
ejpam-5069	280	43	estimate	estimate	NOUN
ejpam-5069	280	44	se	se	PROPN
ejpam-5069	280	45	ll	ll	AUX
ejpam-5069	280	46	ctkw	ctkw	VERB
ejpam-5069	280	47	a	a	DET
ejpam-5069	280	48	b	b	NOUN
ejpam-5069	280	49	λ	λ	NOUN
ejpam-5069	280	50	0.898	0.898	NUM
ejpam-5069	280	51	0.863	0.863	NUM
ejpam-5069	280	52	-1.000	-1.000	NUM
ejpam-5069	280	53	0.210	0.210	NUM
ejpam-5069	280	54	0.215	0.215	NUM
ejpam-5069	280	55	0.593	0.593	NUM
ejpam-5069	280	56	6.532	6.532	NUM
ejpam-5069	280	57	crtkw	crtkw	VERB
ejpam-5069	280	58	a	a	DET
ejpam-5069	280	59	b	b	NOUN
ejpam-5069	280	60	λ1	λ1	ADJ
ejpam-5069	280	61	λ2	λ2	NOUN
ejpam-5069	280	62	0.649	0.649	NUM
ejpam-5069	280	63	0.734	0.734	NUM
ejpam-5069	280	64	1.000	1.000	NUM
ejpam-5069	280	65	0.383	0.383	NUM
ejpam-5069	280	66	0.210	0.210	NUM
ejpam-5069	280	67	0.111	0.111	NUM
ejpam-5069	280	68	0.617	0.617	NUM
ejpam-5069	280	69	0.998	0.998	NUM
ejpam-5069	280	70	3.915	3.915	NUM
ejpam-5069	280	71	tkw	tkw	NOUN
ejpam-5069	280	72	a	a	DET
ejpam-5069	280	73	b	b	X
ejpam-5069	280	74	λ	λ	NOUN
ejpam-5069	280	75	0.609	0.609	NUM
ejpam-5069	280	76	0.585	0.585	NUM
ejpam-5069	280	77	0.125	0.125	NUM
ejpam-5069	280	78	0.178	0.178	NUM
ejpam-5069	280	79	0.175	0.175	NUM
ejpam-5069	280	80	0.495	0.495	NUM
ejpam-5069	280	81	3.535	3.535	NUM
ejpam-5069	280	82	kw	kw	NOUN
ejpam-5069	280	83	a	a	DET
ejpam-5069	280	84	b	b	NOUN
ejpam-5069	280	85	0.588	0.588	NUM
ejpam-5069	280	86	0.612	0.612	NUM
ejpam-5069	280	87	0.161	0.161	NUM
ejpam-5069	280	88	0.134	0.134	NUM
ejpam-5069	280	89	3.503	3.503	NUM
ejpam-5069	280	90	appendix	appendix	NOUN
ejpam-5069	280	91	:	:	PUNCT
ejpam-5069	280	92	the	the	DET
ejpam-5069	280	93	hessian	hessian	ADJ
ejpam-5069	280	94	matrix	matrix	NOUN
ejpam-5069	280	95	for	for	ADP
ejpam-5069	280	96	the	the	DET
ejpam-5069	280	97	ctkw	ctkw	ADJ
ejpam-5069	280	98	distribution	distribution	NOUN
ejpam-5069	280	99	the	the	DET
ejpam-5069	280	100	hessian	hessian	ADJ
ejpam-5069	280	101	matrix	matrix	NOUN
ejpam-5069	280	102	is	be	AUX
ejpam-5069	280	103	given	give	VERB
ejpam-5069	280	104	as	as	SCONJ
ejpam-5069	280	105	h	h	NOUN
ejpam-5069	280	106	=	=	SYM
ejpam-5069	280	107			PROPN
ejpam-5069	280	108	h11	h11	PROPN
ejpam-5069	280	109	h12	h12	PROPN
ejpam-5069	280	110	h13	h13	PROPN
ejpam-5069	280	111	h21	h21	PROPN
ejpam-5069	280	112	h22	h22	PROPN
ejpam-5069	280	113	h23	h23	PROPN
ejpam-5069	280	114	h31	h31	NOUN
ejpam-5069	280	115	h32	h32	VERB
ejpam-5069	280	116	h33	h33	NOUN
ejpam-5069	280	117			PROPN
ejpam-5069	280	118	,	,	PUNCT
ejpam-5069	280	119	where	where	SCONJ
ejpam-5069	280	120	the	the	DET
ejpam-5069	280	121	variance	variance	NOUN
ejpam-5069	280	122	–	–	PUNCT
ejpam-5069	280	123	covariance	covariance	NOUN
ejpam-5069	280	124	matrix	matrix	NOUN
ejpam-5069	280	125	v	v	NOUN
ejpam-5069	280	126	is	be	AUX
ejpam-5069	280	127	obtained	obtain	VERB
ejpam-5069	280	128	by	by	ADP
ejpam-5069	280	129	v	v	NOUN
ejpam-5069	280	130	=	=	SYM
ejpam-5069	280	131			PROPN
ejpam-5069	280	132	v11	v11	NOUN
ejpam-5069	280	133	v12	v12	VERB
ejpam-5069	280	134	v13	v13	NOUN
ejpam-5069	280	135	v21	v21	NOUN
ejpam-5069	280	136	v22	v22	PROPN
ejpam-5069	280	137	v23	v23	PROPN
ejpam-5069	280	138	v31	v31	PROPN
ejpam-5069	280	139	v32	v32	VERB
ejpam-5069	280	140	v33	v33	NOUN
ejpam-5069	280	141			PROPN
ejpam-5069	281	1	=	=	SYM
ejpam-5069	282	1			PROPN
ejpam-5069	282	2	h11	h11	PROPN
ejpam-5069	282	3	h12	h12	PROPN
ejpam-5069	282	4	h13	h13	PROPN
ejpam-5069	282	5	h21	h21	PROPN
ejpam-5069	282	6	h22	h22	PROPN
ejpam-5069	282	7	h23	h23	PROPN
ejpam-5069	282	8	h31	h31	NOUN
ejpam-5069	282	9	h32	h32	VERB
ejpam-5069	282	10	h33	h33	PROPN
ejpam-5069	282	11	−1	−1	PROPN
ejpam-5069	282	12	.	.	PUNCT
ejpam-5069	283	1	t.	t.	PROPN
ejpam-5069	283	2	tushar	tushar	PROPN
ejpam-5069	283	3	et	et	PROPN
ejpam-5069	283	4	al	al	PROPN
ejpam-5069	283	5	.	.	PUNCT
ejpam-5069	283	6	/	/	SYM
ejpam-5069	283	7	eur	eur	PROPN
ejpam-5069	283	8	.	.	PUNCT
ejpam-5069	284	1	j.	j.	PROPN
ejpam-5069	284	2	pure	pure	PROPN
ejpam-5069	284	3	appl	appl	PROPN
ejpam-5069	284	4	.	.	PROPN
ejpam-5069	284	5	math	math	PROPN
ejpam-5069	284	6	,	,	PUNCT
ejpam-5069	284	7	17	17	NUM
ejpam-5069	284	8	(	(	PUNCT
ejpam-5069	284	9	2	2	NUM
ejpam-5069	284	10	)	)	PUNCT
ejpam-5069	284	11	(	(	PUNCT
ejpam-5069	284	12	2024	2024	NUM
ejpam-5069	284	13	)	)	PUNCT
ejpam-5069	284	14	,	,	PUNCT
ejpam-5069	284	15	616	616	NUM
ejpam-5069	284	16	-	-	SYM
ejpam-5069	284	17	637	637	NUM
ejpam-5069	284	18	634	634	NUM
ejpam-5069	284	19	table	table	NOUN
ejpam-5069	284	20	8	8	NUM
ejpam-5069	284	21	:	:	PUNCT
ejpam-5069	284	22	estimation	estimation	NOUN
ejpam-5069	284	23	of	of	ADP
ejpam-5069	284	24	the	the	DET
ejpam-5069	284	25	selection	selection	NOUN
ejpam-5069	284	26	criteria	criterion	NOUN
ejpam-5069	284	27	for	for	ADP
ejpam-5069	284	28	models	model	NOUN
ejpam-5069	284	29	distribution	distribution	NOUN
ejpam-5069	284	30	2ll	2ll	NOUN
ejpam-5069	284	31	aic	aic	PROPN
ejpam-5069	284	32	aicc	aicc	PROPN
ejpam-5069	284	33	bic	bic	PROPN
ejpam-5069	284	34	ks	ks	PROPN
ejpam-5069	284	35	a	a	DET
ejpam-5069	284	36	c	c	PROPN
ejpam-5069	284	37	-	-	PUNCT
ejpam-5069	284	38	vm	vm	NOUN
ejpam-5069	284	39	ctkw	ctkw	NOUN
ejpam-5069	284	40	13.065	13.065	NUM
ejpam-5069	284	41	-7.064	-7.064	PUNCT
ejpam-5069	284	42	-6.142	-6.142	PUNCT
ejpam-5069	284	43	-2.861	-2.861	NUM
ejpam-5069	284	44	0.120	0.120	NUM
ejpam-5069	284	45	3.938	3.938	NUM
ejpam-5069	284	46	0.264	0.264	NUM
ejpam-5069	284	47	crtkw	crtkw	VERB
ejpam-5069	284	48	7.830	7.830	NUM
ejpam-5069	284	49	0.169	0.169	NUM
ejpam-5069	284	50	1.769	1.769	NUM
ejpam-5069	284	51	5.774	5.774	NUM
ejpam-5069	284	52	0.178	0.178	NUM
ejpam-5069	284	53	5.410	5.410	NUM
ejpam-5069	284	54	0.378	0.378	NUM
ejpam-5069	284	55	tkw	tkw	VERB
ejpam-5069	284	56	7.069	7.069	NUM
ejpam-5069	284	57	-1.069	-1.069	NOUN
ejpam-5069	284	58	-0.146	-0.146	NOUN
ejpam-5069	284	59	3.134	3.134	NUM
ejpam-5069	284	60	0.157	0.157	NUM
ejpam-5069	284	61	4.977	4.977	NUM
ejpam-5069	284	62	0.344	0.344	NUM
ejpam-5069	284	63	kw	kw	PROPN
ejpam-5069	284	64	7.005	7.005	NUM
ejpam-5069	284	65	-3.005	-3.005	NOUN
ejpam-5069	284	66	-2.561	-2.561	PUNCT
ejpam-5069	284	67	-0.202	-0.202	PROPN
ejpam-5069	284	68	0.160	0.160	NUM
ejpam-5069	284	69	5.008	5.008	NUM
ejpam-5069	284	70	0.347	0.347	NUM
ejpam-5069	284	71	0.00	0.00	NUM
ejpam-5069	284	72	0.25	0.25	NUM
ejpam-5069	284	73	0.50	0.50	NUM
ejpam-5069	284	74	0.75	0.75	NUM
ejpam-5069	284	75	1.00	1.00	NUM
ejpam-5069	284	76	0.00	0.00	NUM
ejpam-5069	284	77	0.25	0.25	NUM
ejpam-5069	284	78	0.50	0.50	NUM
ejpam-5069	284	79	0.75	0.75	NUM
ejpam-5069	284	80	1.00	1.00	NUM
ejpam-5069	284	81	x	x	SYM
ejpam-5069	284	82	f	f	PROPN
ejpam-5069	284	83	n	n	CCONJ
ejpam-5069	284	84	(	(	PUNCT
ejpam-5069	284	85	x	x	X
ejpam-5069	284	86	)	)	PUNCT
ejpam-5069	284	87	distributions	distribution	NOUN
ejpam-5069	284	88	crtkw	crtkw	NOUN
ejpam-5069	284	89	ctkw	ctkw	NOUN
ejpam-5069	284	90	kw	kw	NOUN
ejpam-5069	284	91	tkw	tkw	NOUN
ejpam-5069	284	92	ecdf	ecdf	VERB
ejpam-5069	284	93	for	for	ADP
ejpam-5069	284	94	lifetime	lifetime	NOUN
ejpam-5069	284	95	data	datum	NOUN
ejpam-5069	284	96	0.0	0.0	NUM
ejpam-5069	284	97	0.5	0.5	NUM
ejpam-5069	284	98	1.0	1.0	NUM
ejpam-5069	284	99	1.5	1.5	NUM
ejpam-5069	284	100	2.0	2.0	NUM
ejpam-5069	284	101	2.5	2.5	NUM
ejpam-5069	284	102	0.00	0.00	NUM
ejpam-5069	284	103	0.25	0.25	NUM
ejpam-5069	284	104	0.50	0.50	NUM
ejpam-5069	284	105	0.75	0.75	NUM
ejpam-5069	284	106	1.00	1.00	NUM
ejpam-5069	284	107	x	x	SYM
ejpam-5069	285	1	d	d	X
ejpam-5069	285	2	en	en	ADP
ejpam-5069	285	3	si	si	PROPN
ejpam-5069	285	4	ty	ty	PROPN
ejpam-5069	285	5	distributions	distribution	NOUN
ejpam-5069	285	6	crtkw	crtkw	AUX
ejpam-5069	285	7	ctkw	ctkw	NOUN
ejpam-5069	285	8	kw	kw	NOUN
ejpam-5069	285	9	tkw	tkw	NOUN
ejpam-5069	285	10	epdf	epdf	NOUN
ejpam-5069	285	11	for	for	ADP
ejpam-5069	285	12	lifetime	lifetime	NOUN
ejpam-5069	285	13	data	datum	NOUN
ejpam-5069	285	14	figure	figure	NOUN
ejpam-5069	285	15	9	9	NUM
ejpam-5069	285	16	:	:	PUNCT
ejpam-5069	285	17	ecdf	ecdf	ADJ
ejpam-5069	285	18	and	and	CCONJ
ejpam-5069	285	19	epdf	epdf	NOUN
ejpam-5069	285	20	for	for	ADP
ejpam-5069	285	21	lifetime	lifetime	NOUN
ejpam-5069	285	22	data	datum	NOUN
ejpam-5069	285	23	then	then	ADV
ejpam-5069	285	24	the	the	DET
ejpam-5069	285	25	elements	element	NOUN
ejpam-5069	285	26	of	of	ADP
ejpam-5069	285	27	h	h	NOUN
ejpam-5069	285	28	are	be	AUX
ejpam-5069	285	29	given	give	VERB
ejpam-5069	285	30	as	as	ADP
ejpam-5069	285	31	h11	h11	NOUN
ejpam-5069	285	32	=	=	SYM
ejpam-5069	285	33	−	−	PROPN
ejpam-5069	285	34	∂2l	∂2l	NOUN
ejpam-5069	285	35	∂a2	∂a2	PROPN
ejpam-5069	285	36	=	=	PROPN
ejpam-5069	285	37	n	n	CCONJ
ejpam-5069	285	38	a2	a2	PROPN
ejpam-5069	285	39	−	−	PROPN
ejpam-5069	285	40	(	(	PUNCT
ejpam-5069	285	41	b−	b−	NOUN
ejpam-5069	285	42	1	1	NUM
ejpam-5069	285	43	)	)	PUNCT
ejpam-5069	286	1	n∑	n∑	NOUN
ejpam-5069	287	1	i=1	i=1	PROPN
ejpam-5069	288	1	(	(	PUNCT
ejpam-5069	288	2	−xai	−xai	NOUN
ejpam-5069	288	3	log	log	VERB
ejpam-5069	288	4	2	2	NUM
ejpam-5069	288	5	(	(	PUNCT
ejpam-5069	288	6	xi	xi	PROPN
ejpam-5069	288	7	)	)	PUNCT
ejpam-5069	288	8	1−	1−	NUM
ejpam-5069	288	9	xai	xai	PROPN
ejpam-5069	289	1	−	−	PROPN
ejpam-5069	289	2	x2ai	x2ai	PUNCT
ejpam-5069	290	1	log2	log2	PROPN
ejpam-5069	290	2	(	(	PUNCT
ejpam-5069	290	3	xi	xi	PROPN
ejpam-5069	290	4	)	)	PUNCT
ejpam-5069	290	5	(	(	PUNCT
ejpam-5069	290	6	1−	1−	NUM
ejpam-5069	290	7	xai	xai	PROPN
ejpam-5069	290	8	)	)	PUNCT
ejpam-5069	290	9	2	2	NUM
ejpam-5069	290	10	)	)	PUNCT
ejpam-5069	290	11	−	−	PROPN
ejpam-5069	291	1	n∑	n∑	NOUN
ejpam-5069	291	2	i=1	i=1	X
ejpam-5069	292	1	[	[	PUNCT
ejpam-5069	292	2	−	−	X
ejpam-5069	292	3	(	(	PUNCT
ejpam-5069	292	4	12bλxai	12bλxai	NUM
ejpam-5069	292	5	log	log	NOUN
ejpam-5069	292	6	(	(	PUNCT
ejpam-5069	292	7	xi	xi	PROPN
ejpam-5069	292	8	)	)	PUNCT
ejpam-5069	292	9	(	(	PUNCT
ejpam-5069	292	10	1−	1−	NUM
ejpam-5069	292	11	xai	xai	PROPN
ejpam-5069	292	12	)	)	PUNCT
ejpam-5069	292	13	2b−1	2b−1	PROPN
ejpam-5069	292	14	−	−	PROPN
ejpam-5069	292	15	6bλxai	6bλxai	NUM
ejpam-5069	292	16	log	log	NOUN
ejpam-5069	292	17	(	(	PUNCT
ejpam-5069	292	18	xi	xi	PROPN
ejpam-5069	292	19	)	)	PUNCT
ejpam-5069	292	20	(	(	PUNCT
ejpam-5069	292	21	1−	1−	NUM
ejpam-5069	292	22	xai	xai	NOUN
ejpam-5069	292	23	)	)	PUNCT
ejpam-5069	292	24	b−1	b−1	PROPN
ejpam-5069	292	25	)	)	PUNCT
ejpam-5069	292	26	2	2	NUM
ejpam-5069	292	27	(	(	PUNCT
ejpam-5069	292	28	6λ	6λ	NUM
ejpam-5069	292	29	(	(	PUNCT
ejpam-5069	292	30	1−	1−	NUM
ejpam-5069	292	31	xai	xai	PROPN
ejpam-5069	292	32	)	)	PUNCT
ejpam-5069	292	33	b	b	PROPN
ejpam-5069	292	34	−	−	PROPN
ejpam-5069	293	1	6λ	6λ	NUM
ejpam-5069	294	1	(	(	PUNCT
ejpam-5069	295	1	1−	1−	NUM
ejpam-5069	295	2	xai	xai	PROPN
ejpam-5069	295	3	)	)	PUNCT
ejpam-5069	295	4	2b	2b	NOUN
ejpam-5069	295	5	−	−	PROPN
ejpam-5069	295	6	λ+	λ+	PUNCT
ejpam-5069	295	7	1	1	NUM
ejpam-5069	295	8	)	)	SYM
ejpam-5069	295	9	2	2	NUM
ejpam-5069	296	1	+	+	CCONJ
ejpam-5069	296	2	6(b−	6(b−	NUM
ejpam-5069	296	3	1)bλx2ai	1)bλx2ai	NUM
ejpam-5069	296	4	log2	log2	PROPN
ejpam-5069	296	5	(	(	PUNCT
ejpam-5069	296	6	xi	xi	PROPN
ejpam-5069	296	7	)	)	PUNCT
ejpam-5069	296	8	(	(	PUNCT
ejpam-5069	296	9	1−	1−	NUM
ejpam-5069	296	10	xai	xai	PROPN
ejpam-5069	296	11	)	)	PUNCT
ejpam-5069	296	12	b−2	b−2	PROPN
ejpam-5069	296	13	−	−	PROPN
ejpam-5069	296	14	6bλxai	6bλxai	NUM
ejpam-5069	296	15	log	log	NOUN
ejpam-5069	296	16	2	2	NUM
ejpam-5069	296	17	(	(	PUNCT
ejpam-5069	296	18	xi	xi	PROPN
ejpam-5069	296	19	)	)	PUNCT
ejpam-5069	296	20	(	(	PUNCT
ejpam-5069	296	21	1−	1−	NUM
ejpam-5069	296	22	xai	xai	PROPN
ejpam-5069	296	23	)	)	PUNCT
ejpam-5069	297	1	b−1	b−1	PROPN
ejpam-5069	297	2	6λ	6λ	NUM
ejpam-5069	297	3	(	(	PUNCT
ejpam-5069	297	4	1−	1−	NUM
ejpam-5069	297	5	xai	xai	PROPN
ejpam-5069	297	6	)	)	PUNCT
ejpam-5069	298	1	b	b	PROPN
ejpam-5069	299	1	−	−	PROPN
ejpam-5069	299	2	6λ	6λ	NUM
ejpam-5069	299	3	(	(	PUNCT
ejpam-5069	299	4	1−	1−	NUM
ejpam-5069	299	5	xai	xai	PROPN
ejpam-5069	299	6	)	)	PUNCT
ejpam-5069	299	7	2b	2b	NOUN
ejpam-5069	299	8	−	−	PROPN
ejpam-5069	299	9	λ+	λ+	PUNCT
ejpam-5069	299	10	1	1	NUM
ejpam-5069	299	11	−12bλxai	−12bλxai	NOUN
ejpam-5069	299	12	log	log	NOUN
ejpam-5069	299	13	2	2	NUM
ejpam-5069	299	14	(	(	PUNCT
ejpam-5069	299	15	xi	xi	PROPN
ejpam-5069	299	16	)	)	PUNCT
ejpam-5069	299	17	(	(	PUNCT
ejpam-5069	299	18	1−	1−	NUM
ejpam-5069	299	19	xai	xai	PROPN
ejpam-5069	299	20	)	)	PUNCT
ejpam-5069	299	21	2b−1	2b−1	PROPN
ejpam-5069	299	22	−	−	PROPN
ejpam-5069	299	23	12b(2b−	12b(2b−	NUM
ejpam-5069	299	24	1)λx2ai	1)λx2ai	NUM
ejpam-5069	299	25	log2	log2	PROPN
ejpam-5069	299	26	(	(	PUNCT
ejpam-5069	299	27	xi	xi	PROPN
ejpam-5069	299	28	)	)	PUNCT
ejpam-5069	299	29	(	(	PUNCT
ejpam-5069	299	30	1−	1−	NUM
ejpam-5069	299	31	xai	xai	PROPN
ejpam-5069	299	32	)	)	PUNCT
ejpam-5069	300	1	2b−2	2b−2	NUM
ejpam-5069	300	2	6λ	6λ	NUM
ejpam-5069	300	3	(	(	PUNCT
ejpam-5069	300	4	1−	1−	NUM
ejpam-5069	300	5	xai	xai	PROPN
ejpam-5069	300	6	)	)	PUNCT
ejpam-5069	300	7	b	b	PROPN
ejpam-5069	300	8	−	−	PROPN
ejpam-5069	300	9	6λ	6λ	NUM
ejpam-5069	300	10	(	(	PUNCT
ejpam-5069	300	11	1−	1−	NUM
ejpam-5069	300	12	xai	xai	PROPN
ejpam-5069	300	13	)	)	PUNCT
ejpam-5069	300	14	2b	2b	NOUN
ejpam-5069	300	15	−	−	PROPN
ejpam-5069	300	16	λ+	λ+	PUNCT
ejpam-5069	300	17	1	1	NUM
ejpam-5069	300	18	]	]	PUNCT
ejpam-5069	300	19	,	,	PUNCT
ejpam-5069	300	20	h12	h12	NOUN
ejpam-5069	300	21	=	=	SYM
ejpam-5069	300	22	−	−	PROPN
ejpam-5069	300	23	∂2l	∂2l	NOUN
ejpam-5069	300	24	∂a∂b	∂a∂b	NOUN
ejpam-5069	300	25	=	=	PUNCT
ejpam-5069	301	1	−	−	PROPN
ejpam-5069	301	2	n∑	n∑	NOUN
ejpam-5069	301	3	i=1	i=1	X
ejpam-5069	302	1	[	[	X
ejpam-5069	302	2	(	(	PUNCT
ejpam-5069	302	3	6bλxai	6bλxai	NUM
ejpam-5069	302	4	log	log	NOUN
ejpam-5069	302	5	(	(	PUNCT
ejpam-5069	302	6	xi	xi	PROPN
ejpam-5069	302	7	)	)	PUNCT
ejpam-5069	302	8	(	(	PUNCT
ejpam-5069	302	9	1−	1−	NUM
ejpam-5069	302	10	xai	xai	PROPN
ejpam-5069	302	11	)	)	PUNCT
ejpam-5069	302	12	b−1	b−1	PROPN
ejpam-5069	302	13	−	−	PROPN
ejpam-5069	302	14	12bλxai	12bλxai	NUM
ejpam-5069	302	15	log	log	NOUN
ejpam-5069	302	16	(	(	PUNCT
ejpam-5069	302	17	xi	xi	PROPN
ejpam-5069	302	18	)	)	PUNCT
ejpam-5069	302	19	(	(	PUNCT
ejpam-5069	302	20	1−	1−	NUM
ejpam-5069	302	21	xai	xai	PROPN
ejpam-5069	302	22	)	)	PUNCT
ejpam-5069	302	23	2b−1	2b−1	PROPN
ejpam-5069	302	24	)	)	PUNCT
ejpam-5069	302	25	(	(	PUNCT
ejpam-5069	302	26	−6λ	−6λ	X
ejpam-5069	302	27	(	(	PUNCT
ejpam-5069	302	28	1−	1−	NUM
ejpam-5069	302	29	xai	xai	PROPN
ejpam-5069	302	30	)	)	PUNCT
ejpam-5069	302	31	b	b	PROPN
ejpam-5069	303	1	+	+	NUM
ejpam-5069	303	2	6λ	6λ	NUM
ejpam-5069	303	3	(	(	PUNCT
ejpam-5069	303	4	1−	1−	NUM
ejpam-5069	303	5	xai	xai	PROPN
ejpam-5069	303	6	)	)	PUNCT
ejpam-5069	303	7	2b	2b	NOUN
ejpam-5069	304	1	+	+	CCONJ
ejpam-5069	304	2	λ+	λ+	PUNCT
ejpam-5069	304	3	1	1	NUM
ejpam-5069	304	4	)	)	SYM
ejpam-5069	304	5	2	2	NUM
ejpam-5069	304	6	×	×	NOUN
ejpam-5069	304	7	(	(	PUNCT
ejpam-5069	304	8	6λ	6λ	NUM
ejpam-5069	304	9	(	(	PUNCT
ejpam-5069	304	10	1−	1−	NUM
ejpam-5069	304	11	xai	xai	PROPN
ejpam-5069	304	12	)	)	PUNCT
ejpam-5069	305	1	b	b	PROPN
ejpam-5069	305	2	log	log	NOUN
ejpam-5069	305	3	(	(	PUNCT
ejpam-5069	305	4	1−	1−	NUM
ejpam-5069	305	5	xai	xai	PROPN
ejpam-5069	305	6	)	)	PUNCT
ejpam-5069	306	1	+	+	CCONJ
ejpam-5069	306	2	12λ	12λ	NUM
ejpam-5069	306	3	(	(	PUNCT
ejpam-5069	306	4	1−	1−	NUM
ejpam-5069	306	5	xai	xai	PROPN
ejpam-5069	306	6	)	)	PUNCT
ejpam-5069	306	7	2b	2b	NUM
ejpam-5069	306	8	log	log	NOUN
ejpam-5069	306	9	(	(	PUNCT
ejpam-5069	306	10	1−	1−	NUM
ejpam-5069	306	11	xai	xai	PROPN
ejpam-5069	306	12	)	)	PUNCT
ejpam-5069	306	13	)	)	PUNCT
ejpam-5069	307	1	+	+	CCONJ
ejpam-5069	307	2	−6λxai	−6λxai	NOUN
ejpam-5069	307	3	log	log	NOUN
ejpam-5069	307	4	(	(	PUNCT
ejpam-5069	307	5	xi	xi	PROPN
ejpam-5069	307	6	)	)	PUNCT
ejpam-5069	307	7	(	(	PUNCT
ejpam-5069	307	8	1−	1−	NUM
ejpam-5069	307	9	xai	xai	PROPN
ejpam-5069	307	10	)	)	PUNCT
ejpam-5069	308	1	b−1	b−1	PROPN
ejpam-5069	308	2	−	−	PROPN
ejpam-5069	308	3	6bλxai	6bλxai	NUM
ejpam-5069	308	4	log	log	NOUN
ejpam-5069	308	5	(	(	PUNCT
ejpam-5069	308	6	xi	xi	PROPN
ejpam-5069	308	7	)	)	PUNCT
ejpam-5069	308	8	(	(	PUNCT
ejpam-5069	308	9	1−	1−	NUM
ejpam-5069	308	10	xai	xai	PROPN
ejpam-5069	308	11	)	)	PUNCT
ejpam-5069	309	1	b−1	b−1	PROPN
ejpam-5069	309	2	log	log	NOUN
ejpam-5069	309	3	(	(	PUNCT
ejpam-5069	309	4	1−	1−	NUM
ejpam-5069	309	5	xai	xai	PROPN
ejpam-5069	309	6	)	)	PUNCT
ejpam-5069	309	7	6λ	6λ	PROPN
ejpam-5069	309	8	(	(	PUNCT
ejpam-5069	309	9	1−	1−	NUM
ejpam-5069	309	10	xai	xai	PROPN
ejpam-5069	309	11	)	)	PUNCT
ejpam-5069	310	1	b	b	PROPN
ejpam-5069	311	1	−	−	PROPN
ejpam-5069	311	2	6λ	6λ	NUM
ejpam-5069	311	3	(	(	PUNCT
ejpam-5069	311	4	1−	1−	NUM
ejpam-5069	311	5	xai	xai	PROPN
ejpam-5069	311	6	)	)	PUNCT
ejpam-5069	311	7	2b	2b	NOUN
ejpam-5069	311	8	−	−	PROPN
ejpam-5069	311	9	λ+	λ+	PUNCT
ejpam-5069	311	10	1	1	NUM
ejpam-5069	311	11	+	+	NUM
ejpam-5069	311	12	12λxai	12λxai	NUM
ejpam-5069	311	13	log	log	NOUN
ejpam-5069	311	14	(	(	PUNCT
ejpam-5069	311	15	xi	xi	PROPN
ejpam-5069	311	16	)	)	PUNCT
ejpam-5069	311	17	(	(	PUNCT
ejpam-5069	311	18	1−	1−	NUM
ejpam-5069	311	19	xai	xai	PROPN
ejpam-5069	311	20	)	)	PUNCT
ejpam-5069	311	21	2b−1	2b−1	PROPN
ejpam-5069	311	22	+	+	CCONJ
ejpam-5069	311	23	24bλxai	24bλxai	NUM
ejpam-5069	311	24	log	log	NOUN
ejpam-5069	311	25	(	(	PUNCT
ejpam-5069	311	26	xi	xi	PROPN
ejpam-5069	311	27	)	)	PUNCT
ejpam-5069	311	28	(	(	PUNCT
ejpam-5069	311	29	1−	1−	NUM
ejpam-5069	311	30	xai	xai	PROPN
ejpam-5069	311	31	)	)	PUNCT
ejpam-5069	311	32	2b−1	2b−1	NUM
ejpam-5069	311	33	log	log	NOUN
ejpam-5069	311	34	(	(	PUNCT
ejpam-5069	311	35	1−	1−	NUM
ejpam-5069	311	36	xai	xai	PROPN
ejpam-5069	311	37	)	)	PUNCT
ejpam-5069	311	38	6λ	6λ	PROPN
ejpam-5069	311	39	(	(	PUNCT
ejpam-5069	311	40	1−	1−	NUM
ejpam-5069	311	41	xai	xai	PROPN
ejpam-5069	311	42	)	)	PUNCT
ejpam-5069	312	1	b	b	PROPN
ejpam-5069	313	1	−	−	PROPN
ejpam-5069	313	2	6λ	6λ	NUM
ejpam-5069	313	3	(	(	PUNCT
ejpam-5069	313	4	1−	1−	NUM
ejpam-5069	313	5	xai	xai	PROPN
ejpam-5069	313	6	)	)	PUNCT
ejpam-5069	313	7	2b	2b	NOUN
ejpam-5069	313	8	−	−	PROPN
ejpam-5069	313	9	λ+	λ+	PUNCT
ejpam-5069	313	10	1	1	NUM
ejpam-5069	313	11	]	]	PUNCT
ejpam-5069	313	12	references	reference	NOUN
ejpam-5069	313	13	635	635	NUM
ejpam-5069	314	1	+	+	NUM
ejpam-5069	314	2	n∑	n∑	PROPN
ejpam-5069	314	3	i=1	i=1	PROPN
ejpam-5069	315	1	xai	xai	PROPN
ejpam-5069	315	2	log	log	PROPN
ejpam-5069	315	3	(	(	PUNCT
ejpam-5069	315	4	xi	xi	PROPN
ejpam-5069	315	5	)	)	PUNCT
ejpam-5069	315	6	1−	1−	NUM
ejpam-5069	315	7	xai	xai	PROPN
ejpam-5069	315	8	,	,	PUNCT
ejpam-5069	315	9	h13	h13	NOUN
ejpam-5069	315	10	=	=	SYM
ejpam-5069	315	11	−	−	PROPN
ejpam-5069	315	12	∂2l	∂2l	NOUN
ejpam-5069	315	13	∂a∂λ	∂a∂λ	NOUN
ejpam-5069	315	14	=	=	PUNCT
ejpam-5069	316	1	n∑	n∑	NOUN
ejpam-5069	316	2	i=1	i=1	X
ejpam-5069	317	1	[	[	PUNCT
ejpam-5069	317	2	−12bxai	−12bxai	DET
ejpam-5069	317	3	log	log	NOUN
ejpam-5069	317	4	(	(	PUNCT
ejpam-5069	317	5	xi	xi	PROPN
ejpam-5069	317	6	)	)	PUNCT
ejpam-5069	317	7	(	(	PUNCT
ejpam-5069	317	8	1−	1−	NUM
ejpam-5069	317	9	xai	xai	PROPN
ejpam-5069	317	10	)	)	PUNCT
ejpam-5069	317	11	2b−1	2b−1	NUM
ejpam-5069	317	12	−	−	ADP
ejpam-5069	317	13	6bxai	6bxai	NUM
ejpam-5069	317	14	log	log	NOUN
ejpam-5069	317	15	(	(	PUNCT
ejpam-5069	317	16	xi	xi	PROPN
ejpam-5069	317	17	)	)	PUNCT
ejpam-5069	317	18	(	(	PUNCT
ejpam-5069	317	19	1−	1−	NUM
ejpam-5069	317	20	xai	xai	PROPN
ejpam-5069	317	21	)	)	PUNCT
ejpam-5069	318	1	b−1	b−1	PROPN
ejpam-5069	318	2	6λ	6λ	NUM
ejpam-5069	318	3	(	(	PUNCT
ejpam-5069	318	4	1−	1−	NUM
ejpam-5069	318	5	xai	xai	PROPN
ejpam-5069	318	6	)	)	PUNCT
ejpam-5069	319	1	b	b	PROPN
ejpam-5069	320	1	−	−	PROPN
ejpam-5069	320	2	6λ	6λ	NUM
ejpam-5069	320	3	(	(	PUNCT
ejpam-5069	320	4	1−	1−	NUM
ejpam-5069	320	5	xai	xai	PROPN
ejpam-5069	320	6	)	)	PUNCT
ejpam-5069	320	7	2b	2b	NOUN
ejpam-5069	320	8	−	−	PROPN
ejpam-5069	320	9	λ+	λ+	PUNCT
ejpam-5069	320	10	1	1	NUM
ejpam-5069	320	11	+	+	CCONJ
ejpam-5069	320	12	(	(	PUNCT
ejpam-5069	320	13	6	6	NUM
ejpam-5069	320	14	(	(	PUNCT
ejpam-5069	320	15	1−	1−	NUM
ejpam-5069	320	16	xai	xai	PROPN
ejpam-5069	320	17	)	)	PUNCT
ejpam-5069	320	18	b	b	PROPN
ejpam-5069	321	1	−	−	NOUN
ejpam-5069	321	2	6	6	NUM
ejpam-5069	321	3	(	(	PUNCT
ejpam-5069	321	4	1−	1−	NUM
ejpam-5069	321	5	xai	xai	PROPN
ejpam-5069	321	6	)	)	PUNCT
ejpam-5069	321	7	2b	2b	NOUN
ejpam-5069	321	8	−	−	NOUN
ejpam-5069	321	9	1	1	NUM
ejpam-5069	321	10	)	)	PUNCT
ejpam-5069	321	11	(	(	PUNCT
ejpam-5069	321	12	6λ	6λ	NUM
ejpam-5069	321	13	(	(	PUNCT
ejpam-5069	321	14	1−	1−	NUM
ejpam-5069	321	15	xai	xai	PROPN
ejpam-5069	321	16	)	)	PUNCT
ejpam-5069	322	1	b	b	PROPN
ejpam-5069	323	1	−	−	PROPN
ejpam-5069	323	2	6λ	6λ	NUM
ejpam-5069	323	3	(	(	PUNCT
ejpam-5069	323	4	1−	1−	NUM
ejpam-5069	323	5	xai	xai	PROPN
ejpam-5069	323	6	)	)	PUNCT
ejpam-5069	323	7	2b	2b	NOUN
ejpam-5069	323	8	−	−	PROPN
ejpam-5069	323	9	λ+	λ+	PUNCT
ejpam-5069	323	10	1	1	NUM
ejpam-5069	323	11	)	)	SYM
ejpam-5069	323	12	2	2	NUM
ejpam-5069	323	13	)	)	PUNCT
ejpam-5069	323	14	×	×	NOUN
ejpam-5069	323	15	(	(	PUNCT
ejpam-5069	323	16	12bλxai	12bλxai	NUM
ejpam-5069	323	17	log	log	NOUN
ejpam-5069	323	18	(	(	PUNCT
ejpam-5069	323	19	xi	xi	PROPN
ejpam-5069	323	20	)	)	PUNCT
ejpam-5069	323	21	(	(	PUNCT
ejpam-5069	323	22	1−	1−	NUM
ejpam-5069	323	23	xai	xai	PROPN
ejpam-5069	323	24	)	)	PUNCT
ejpam-5069	323	25	2b−1	2b−1	PROPN
ejpam-5069	323	26	−	−	PROPN
ejpam-5069	323	27	6bλxai	6bλxai	NUM
ejpam-5069	323	28	log	log	NOUN
ejpam-5069	323	29	(	(	PUNCT
ejpam-5069	323	30	xi	xi	PROPN
ejpam-5069	323	31	)	)	PUNCT
ejpam-5069	323	32	(	(	PUNCT
ejpam-5069	323	33	1−	1−	NUM
ejpam-5069	323	34	xai	xai	NOUN
ejpam-5069	323	35	)	)	PUNCT
ejpam-5069	323	36	b−1	b−1	PROPN
ejpam-5069	323	37	)	)	PUNCT
ejpam-5069	323	38	]	]	PUNCT
ejpam-5069	323	39	,	,	PUNCT
ejpam-5069	323	40	h22	h22	PROPN
ejpam-5069	323	41	=	=	SYM
ejpam-5069	323	42	−	−	PROPN
ejpam-5069	324	1	∂2l	∂2l	NOUN
ejpam-5069	324	2	∂b2	∂b2	PROPN
ejpam-5069	324	3	=	=	PUNCT
ejpam-5069	325	1	n∑	n∑	NOUN
ejpam-5069	325	2	i=1	i=1	X
ejpam-5069	326	1	[	[	X
ejpam-5069	326	2	(	(	PUNCT
ejpam-5069	326	3	6λ	6λ	NUM
ejpam-5069	326	4	(	(	PUNCT
ejpam-5069	326	5	1−	1−	NUM
ejpam-5069	326	6	xai	xai	PROPN
ejpam-5069	326	7	)	)	PUNCT
ejpam-5069	327	1	b	b	PROPN
ejpam-5069	327	2	log	log	NOUN
ejpam-5069	327	3	(	(	PUNCT
ejpam-5069	327	4	1−	1−	NUM
ejpam-5069	327	5	xai	xai	PROPN
ejpam-5069	327	6	)	)	PUNCT
ejpam-5069	327	7	−	−	PROPN
ejpam-5069	327	8	12λ	12λ	NUM
ejpam-5069	327	9	(	(	PUNCT
ejpam-5069	327	10	1−	1−	NUM
ejpam-5069	327	11	xai	xai	PROPN
ejpam-5069	327	12	)	)	PUNCT
ejpam-5069	327	13	2b	2b	NUM
ejpam-5069	327	14	log	log	NOUN
ejpam-5069	327	15	(	(	PUNCT
ejpam-5069	327	16	1−	1−	NUM
ejpam-5069	327	17	xai	xai	PROPN
ejpam-5069	327	18	)	)	PUNCT
ejpam-5069	327	19	)	)	PUNCT
ejpam-5069	327	20	2	2	NUM
ejpam-5069	327	21	(	(	PUNCT
ejpam-5069	327	22	6λ	6λ	NUM
ejpam-5069	327	23	(	(	PUNCT
ejpam-5069	327	24	1−	1−	NUM
ejpam-5069	327	25	xai	xai	PROPN
ejpam-5069	327	26	)	)	PUNCT
ejpam-5069	327	27	b	b	PROPN
ejpam-5069	328	1	−	−	PROPN
ejpam-5069	328	2	6λ	6λ	NUM
ejpam-5069	328	3	(	(	PUNCT
ejpam-5069	328	4	1−	1−	NUM
ejpam-5069	328	5	xai	xai	PROPN
ejpam-5069	328	6	)	)	PUNCT
ejpam-5069	328	7	2b	2b	NOUN
ejpam-5069	328	8	−	−	PROPN
ejpam-5069	328	9	λ+	λ+	PUNCT
ejpam-5069	328	10	1	1	NUM
ejpam-5069	328	11	)	)	PUNCT
ejpam-5069	328	12	2	2	NUM
ejpam-5069	328	13	−6λ	−6λ	X
ejpam-5069	328	14	(	(	PUNCT
ejpam-5069	328	15	1−	1−	NUM
ejpam-5069	328	16	xai	xai	PROPN
ejpam-5069	328	17	)	)	PUNCT
ejpam-5069	328	18	b	b	PROPN
ejpam-5069	328	19	log2	log2	PROPN
ejpam-5069	328	20	(	(	PUNCT
ejpam-5069	328	21	1−	1−	NUM
ejpam-5069	328	22	xai	xai	PROPN
ejpam-5069	328	23	)	)	PUNCT
ejpam-5069	328	24	−	−	PROPN
ejpam-5069	328	25	24λ	24λ	NOUN
ejpam-5069	328	26	(	(	PUNCT
ejpam-5069	328	27	1−	1−	NUM
ejpam-5069	328	28	xai	xai	PROPN
ejpam-5069	328	29	)	)	PUNCT
ejpam-5069	328	30	2b	2b	NUM
ejpam-5069	329	1	log2	log2	PROPN
ejpam-5069	329	2	(	(	PUNCT
ejpam-5069	329	3	1−	1−	NUM
ejpam-5069	329	4	xai	xai	PROPN
ejpam-5069	329	5	)	)	PUNCT
ejpam-5069	329	6	6λ	6λ	PROPN
ejpam-5069	329	7	(	(	PUNCT
ejpam-5069	329	8	1−	1−	NUM
ejpam-5069	329	9	xai	xai	PROPN
ejpam-5069	329	10	)	)	PUNCT
ejpam-5069	329	11	b	b	PROPN
ejpam-5069	329	12	−	−	PROPN
ejpam-5069	329	13	6λ	6λ	NUM
ejpam-5069	329	14	(	(	PUNCT
ejpam-5069	329	15	1−	1−	NUM
ejpam-5069	329	16	xai	xai	PROPN
ejpam-5069	329	17	)	)	PUNCT
ejpam-5069	329	18	2b	2b	NOUN
ejpam-5069	329	19	−	−	PROPN
ejpam-5069	329	20	λ+	λ+	PUNCT
ejpam-5069	329	21	1	1	NUM
ejpam-5069	329	22	]	]	SYM
ejpam-5069	329	23	−	−	PROPN
ejpam-5069	329	24	n	n	PRON
ejpam-5069	330	1	b2	b2	NOUN
ejpam-5069	331	1	,	,	PUNCT
ejpam-5069	331	2	h23	h23	NOUN
ejpam-5069	331	3	=	=	SYM
ejpam-5069	331	4	−	−	PROPN
ejpam-5069	331	5	∂2l	∂2l	NOUN
ejpam-5069	331	6	∂b∂λ	∂b∂λ	NOUN
ejpam-5069	331	7	=	=	PUNCT
ejpam-5069	332	1	n∑	n∑	NOUN
ejpam-5069	332	2	i=1	i=1	X
ejpam-5069	333	1	[	[	PUNCT
ejpam-5069	333	2	−6	−6	X
ejpam-5069	333	3	(	(	PUNCT
ejpam-5069	333	4	1−	1−	NUM
ejpam-5069	333	5	xai	xai	PROPN
ejpam-5069	333	6	)	)	PUNCT
ejpam-5069	333	7	b	b	PROPN
ejpam-5069	333	8	log	log	NOUN
ejpam-5069	333	9	(	(	PUNCT
ejpam-5069	333	10	1−	1−	NUM
ejpam-5069	333	11	xai	xai	PROPN
ejpam-5069	333	12	)	)	PUNCT
ejpam-5069	333	13	−	−	PROPN
ejpam-5069	333	14	12	12	NUM
ejpam-5069	333	15	(	(	PUNCT
ejpam-5069	333	16	1−	1−	NUM
ejpam-5069	333	17	xai	xai	PROPN
ejpam-5069	333	18	)	)	PUNCT
ejpam-5069	333	19	2b	2b	NUM
ejpam-5069	333	20	log	log	NOUN
ejpam-5069	333	21	(	(	PUNCT
ejpam-5069	333	22	1−	1−	NUM
ejpam-5069	333	23	xai	xai	PROPN
ejpam-5069	333	24	)	)	PUNCT
ejpam-5069	333	25	6λ	6λ	PROPN
ejpam-5069	333	26	(	(	PUNCT
ejpam-5069	333	27	1−	1−	NUM
ejpam-5069	333	28	xai	xai	PROPN
ejpam-5069	333	29	)	)	PUNCT
ejpam-5069	333	30	b	b	PROPN
ejpam-5069	334	1	−	−	PROPN
ejpam-5069	334	2	6λ	6λ	NUM
ejpam-5069	334	3	(	(	PUNCT
ejpam-5069	334	4	1−	1−	NUM
ejpam-5069	334	5	xai	xai	PROPN
ejpam-5069	334	6	)	)	PUNCT
ejpam-5069	334	7	2b	2b	NOUN
ejpam-5069	334	8	−	−	PROPN
ejpam-5069	334	9	λ+	λ+	PUNCT
ejpam-5069	334	10	1	1	NUM
ejpam-5069	334	11	+	+	CCONJ
ejpam-5069	334	12	(	(	PUNCT
ejpam-5069	334	13	6	6	NUM
ejpam-5069	334	14	(	(	PUNCT
ejpam-5069	334	15	1−	1−	NUM
ejpam-5069	334	16	xai	xai	PROPN
ejpam-5069	334	17	)	)	PUNCT
ejpam-5069	334	18	b	b	PROPN
ejpam-5069	335	1	−	−	NOUN
ejpam-5069	335	2	6	6	NUM
ejpam-5069	335	3	(	(	PUNCT
ejpam-5069	335	4	1−	1−	NUM
ejpam-5069	335	5	xai	xai	PROPN
ejpam-5069	335	6	)	)	PUNCT
ejpam-5069	335	7	2b	2b	NOUN
ejpam-5069	335	8	−	−	NOUN
ejpam-5069	335	9	1	1	NUM
ejpam-5069	335	10	)	)	PUNCT
ejpam-5069	335	11	(	(	PUNCT
ejpam-5069	335	12	6λ	6λ	NUM
ejpam-5069	335	13	(	(	PUNCT
ejpam-5069	335	14	1−	1−	NUM
ejpam-5069	335	15	xai	xai	PROPN
ejpam-5069	335	16	)	)	PUNCT
ejpam-5069	336	1	b	b	PROPN
ejpam-5069	337	1	−	−	PROPN
ejpam-5069	337	2	6λ	6λ	NUM
ejpam-5069	337	3	(	(	PUNCT
ejpam-5069	337	4	1−	1−	NUM
ejpam-5069	337	5	xai	xai	PROPN
ejpam-5069	337	6	)	)	PUNCT
ejpam-5069	337	7	2b	2b	NOUN
ejpam-5069	337	8	−	−	PROPN
ejpam-5069	337	9	λ+	λ+	PUNCT
ejpam-5069	337	10	1	1	NUM
ejpam-5069	337	11	)	)	SYM
ejpam-5069	337	12	2	2	NUM
ejpam-5069	337	13	×	×	NOUN
ejpam-5069	337	14	(	(	PUNCT
ejpam-5069	337	15	6λ	6λ	NUM
ejpam-5069	337	16	(	(	PUNCT
ejpam-5069	337	17	1−	1−	NUM
ejpam-5069	337	18	xai	xai	PROPN
ejpam-5069	337	19	)	)	PUNCT
ejpam-5069	338	1	b	b	PROPN
ejpam-5069	338	2	log	log	NOUN
ejpam-5069	338	3	(	(	PUNCT
ejpam-5069	338	4	1−	1−	NUM
ejpam-5069	338	5	xai	xai	PROPN
ejpam-5069	338	6	)	)	PUNCT
ejpam-5069	338	7	−	−	PROPN
ejpam-5069	338	8	12λ	12λ	NUM
ejpam-5069	338	9	(	(	PUNCT
ejpam-5069	338	10	1−	1−	NUM
ejpam-5069	338	11	xai	xai	PROPN
ejpam-5069	338	12	)	)	PUNCT
ejpam-5069	338	13	2b	2b	NUM
ejpam-5069	338	14	log	log	NOUN
ejpam-5069	338	15	(	(	PUNCT
ejpam-5069	338	16	1−	1−	NUM
ejpam-5069	338	17	xai	xai	PROPN
ejpam-5069	338	18	)	)	PUNCT
ejpam-5069	338	19	)	)	PUNCT
ejpam-5069	338	20	]	]	PUNCT
ejpam-5069	338	21	,	,	PUNCT
ejpam-5069	338	22	and	and	CCONJ
ejpam-5069	338	23	h33	h33	NOUN
ejpam-5069	338	24	=	=	SYM
ejpam-5069	338	25	−	−	PROPN
ejpam-5069	338	26	∂2l	∂2l	NOUN
ejpam-5069	338	27	∂λ2	∂λ2	PROPN
ejpam-5069	339	1	=	=	PUNCT
ejpam-5069	340	1	n∑	n∑	PROPN
ejpam-5069	340	2	i=1	i=1	PROPN
ejpam-5069	340	3	(	(	PUNCT
ejpam-5069	340	4	6	6	NUM
ejpam-5069	340	5	(	(	PUNCT
ejpam-5069	340	6	1−	1−	NUM
ejpam-5069	340	7	xai	xai	PROPN
ejpam-5069	340	8	)	)	PUNCT
ejpam-5069	341	1	b	b	PROPN
ejpam-5069	342	1	−	−	NOUN
ejpam-5069	342	2	6	6	NUM
ejpam-5069	342	3	(	(	PUNCT
ejpam-5069	342	4	1−	1−	NUM
ejpam-5069	342	5	xai	xai	PROPN
ejpam-5069	342	6	)	)	PUNCT
ejpam-5069	342	7	2b	2b	NOUN
ejpam-5069	342	8	−	−	NOUN
ejpam-5069	342	9	1	1	NUM
ejpam-5069	342	10	)	)	PUNCT
ejpam-5069	342	11	2	2	NUM
ejpam-5069	342	12	(	(	PUNCT
ejpam-5069	342	13	6λ	6λ	NUM
ejpam-5069	342	14	(	(	PUNCT
ejpam-5069	342	15	1−	1−	NUM
ejpam-5069	342	16	xai	xai	PROPN
ejpam-5069	342	17	)	)	PUNCT
ejpam-5069	343	1	b	b	PROPN
ejpam-5069	344	1	−	−	PROPN
ejpam-5069	344	2	6λ	6λ	NUM
ejpam-5069	344	3	(	(	PUNCT
ejpam-5069	344	4	1−	1−	NUM
ejpam-5069	344	5	xai	xai	PROPN
ejpam-5069	344	6	)	)	PUNCT
ejpam-5069	344	7	2b	2b	NOUN
ejpam-5069	344	8	−	−	PROPN
ejpam-5069	344	9	λ+	λ+	PUNCT
ejpam-5069	344	10	1	1	NUM
ejpam-5069	344	11	)	)	SYM
ejpam-5069	344	12	2	2	NUM
ejpam-5069	344	13	.	.	PUNCT
ejpam-5069	345	1	acknowledgements	acknowledgement	NOUN
ejpam-5069	345	2	the	the	DET
ejpam-5069	345	3	authors	author	NOUN
ejpam-5069	345	4	would	would	AUX
ejpam-5069	345	5	like	like	VERB
ejpam-5069	345	6	to	to	PART
ejpam-5069	345	7	extend	extend	VERB
ejpam-5069	345	8	their	their	PRON
ejpam-5069	345	9	sincere	sincere	ADJ
ejpam-5069	345	10	appreciation	appreciation	NOUN
ejpam-5069	345	11	to	to	ADP
ejpam-5069	345	12	the	the	DET
ejpam-5069	345	13	anonymous	anonymous	ADJ
ejpam-5069	345	14	reviewers	reviewer	NOUN
ejpam-5069	345	15	for	for	ADP
ejpam-5069	345	16	their	their	PRON
ejpam-5069	345	17	insightful	insightful	ADJ
ejpam-5069	345	18	comments	comment	NOUN
ejpam-5069	345	19	and	and	CCONJ
ejpam-5069	345	20	constructive	constructive	ADJ
ejpam-5069	345	21	feedback	feedback	NOUN
ejpam-5069	345	22	.	.	PUNCT
ejpam-5069	346	1	their	their	PRON
ejpam-5069	346	2	valuable	valuable	ADJ
ejpam-5069	346	3	contributions	contribution	NOUN
ejpam-5069	346	4	significantly	significantly	ADV
ejpam-5069	346	5	enhanced	enhance	VERB
ejpam-5069	346	6	the	the	DET
ejpam-5069	346	7	quality	quality	NOUN
ejpam-5069	346	8	of	of	ADP
ejpam-5069	346	9	this	this	DET
ejpam-5069	346	10	journal	journal	NOUN
ejpam-5069	346	11	article	article	NOUN
ejpam-5069	346	12	.	.	PUNCT
ejpam-5069	347	1	references	reference	NOUN
ejpam-5069	347	2	[	[	X
ejpam-5069	347	3	1	1	X
ejpam-5069	347	4	]	]	X
ejpam-5069	347	5	abdullah	abdullah	PROPN
ejpam-5069	347	6	m	m	PROPN
ejpam-5069	347	7	almarashi	almarashi	PROPN
ejpam-5069	347	8	,	,	PUNCT
ejpam-5069	347	9	khushnoor	khushnoor	PROPN
ejpam-5069	347	10	khan	khan	PROPN
ejpam-5069	347	11	,	,	PUNCT
ejpam-5069	347	12	christophe	christophe	PROPN
ejpam-5069	347	13	chesneau	chesneau	PROPN
ejpam-5069	347	14	,	,	PUNCT
ejpam-5069	347	15	and	and	CCONJ
ejpam-5069	347	16	farrukh	farrukh	PROPN
ejpam-5069	347	17	jamal	jamal	PROPN
ejpam-5069	347	18	.	.	PUNCT
ejpam-5069	348	1	group	group	NOUN
ejpam-5069	348	2	acceptance	acceptance	NOUN
ejpam-5069	348	3	sampling	sample	VERB
ejpam-5069	348	4	plan	plan	NOUN
ejpam-5069	348	5	using	use	VERB
ejpam-5069	348	6	(	(	PUNCT
ejpam-5069	348	7	mokw	mokw	ADV
ejpam-5069	348	8	-	-	PUNCT
ejpam-5069	348	9	e	e	NOUN
ejpam-5069	348	10	)	)	PUNCT
ejpam-5069	348	11	distribution	distribution	NOUN
ejpam-5069	348	12	.	.	PUNCT
ejpam-5069	349	1	processes	process	NOUN
ejpam-5069	349	2	,	,	PUNCT
ejpam-5069	349	3	9(6):1066	9(6):1066	NUM
ejpam-5069	349	4	,	,	PUNCT
ejpam-5069	349	5	2021	2021	NUM
ejpam-5069	349	6	.	.	PUNCT
ejpam-5069	350	1	references	reference	NOUN
ejpam-5069	350	2	636	636	NUM
ejpam-5069	350	3	[	[	X
ejpam-5069	350	4	2	2	NUM
ejpam-5069	350	5	]	]	X
ejpam-5069	350	6	rafid	rafid	ADJ
ejpam-5069	350	7	alshkaki	alshkaki	NOUN
ejpam-5069	350	8	.	.	PUNCT
ejpam-5069	351	1	a	a	DET
ejpam-5069	351	2	generalized	generalized	ADJ
ejpam-5069	351	3	modification	modification	NOUN
ejpam-5069	351	4	of	of	ADP
ejpam-5069	351	5	the	the	DET
ejpam-5069	351	6	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	351	7	distribution	distribution	NOUN
ejpam-5069	351	8	for	for	ADP
ejpam-5069	351	9	modeling	modeling	NOUN
ejpam-5069	351	10	and	and	CCONJ
ejpam-5069	351	11	analyzing	analyze	VERB
ejpam-5069	351	12	real	real	ADJ
ejpam-5069	351	13	-	-	PUNCT
ejpam-5069	351	14	life	life	NOUN
ejpam-5069	351	15	data	datum	NOUN
ejpam-5069	351	16	.	.	PUNCT
ejpam-5069	352	1	statistics	statistic	NOUN
ejpam-5069	352	2	,	,	PUNCT
ejpam-5069	352	3	optimization	optimization	NOUN
ejpam-5069	352	4	&	&	CCONJ
ejpam-5069	352	5	information	information	PROPN
ejpam-5069	352	6	computing	computing	PROPN
ejpam-5069	352	7	,	,	PUNCT
ejpam-5069	352	8	8(2):521–548	8(2):521–548	NUM
ejpam-5069	352	9	,	,	PUNCT
ejpam-5069	352	10	2020	2020	NUM
ejpam-5069	352	11	.	.	PUNCT
ejpam-5069	353	1	[	[	X
ejpam-5069	353	2	3	3	X
ejpam-5069	353	3	]	]	X
ejpam-5069	353	4	ben	ben	PROPN
ejpam-5069	353	5	bolker	bolker	PROPN
ejpam-5069	353	6	and	and	CCONJ
ejpam-5069	353	7	maintainer	maintainer	PROPN
ejpam-5069	353	8	ben	ben	PROPN
ejpam-5069	353	9	bolker	bolker	PROPN
ejpam-5069	353	10	.	.	PUNCT
ejpam-5069	354	1	package	package	NOUN
ejpam-5069	354	2	‘	'	PUNCT
ejpam-5069	354	3	bbmle	bbmle	NOUN
ejpam-5069	354	4	’	'	PUNCT
ejpam-5069	354	5	.	.	PUNCT
ejpam-5069	355	1	tools	tool	NOUN
ejpam-5069	355	2	for	for	ADP
ejpam-5069	355	3	general	general	ADJ
ejpam-5069	355	4	maximum	maximum	ADJ
ejpam-5069	355	5	likelihood	likelihood	NOUN
ejpam-5069	355	6	estimation	estimation	NOUN
ejpam-5069	355	7	,	,	PUNCT
ejpam-5069	355	8	page	page	NOUN
ejpam-5069	355	9	641	641	NUM
ejpam-5069	355	10	,	,	PUNCT
ejpam-5069	355	11	2017	2017	NUM
ejpam-5069	355	12	.	.	PUNCT
ejpam-5069	356	1	[	[	X
ejpam-5069	356	2	4	4	X
ejpam-5069	356	3	]	]	PUNCT
ejpam-5069	356	4	mark	mark	NOUN
ejpam-5069	356	5	j	j	PROPN
ejpam-5069	356	6	brewer	brewer	PROPN
ejpam-5069	356	7	,	,	PUNCT
ejpam-5069	356	8	adam	adam	PROPN
ejpam-5069	356	9	butler	butler	PROPN
ejpam-5069	356	10	,	,	PUNCT
ejpam-5069	356	11	and	and	CCONJ
ejpam-5069	356	12	susan	susan	PROPN
ejpam-5069	356	13	l	l	PROPN
ejpam-5069	356	14	cooksley	cooksley	PROPN
ejpam-5069	356	15	.	.	PUNCT
ejpam-5069	357	1	the	the	DET
ejpam-5069	357	2	relative	relative	ADJ
ejpam-5069	357	3	performance	performance	NOUN
ejpam-5069	357	4	of	of	ADP
ejpam-5069	357	5	aic	aic	PROPN
ejpam-5069	357	6	,	,	PUNCT
ejpam-5069	357	7	aicc	aicc	NOUN
ejpam-5069	357	8	and	and	CCONJ
ejpam-5069	357	9	bic	bic	NOUN
ejpam-5069	357	10	in	in	ADP
ejpam-5069	357	11	the	the	DET
ejpam-5069	357	12	presence	presence	NOUN
ejpam-5069	357	13	of	of	ADP
ejpam-5069	357	14	unobserved	unobserved	ADJ
ejpam-5069	357	15	heterogeneity	heterogeneity	NOUN
ejpam-5069	357	16	.	.	PUNCT
ejpam-5069	358	1	methods	method	NOUN
ejpam-5069	358	2	in	in	ADP
ejpam-5069	358	3	ecology	ecology	NOUN
ejpam-5069	358	4	and	and	CCONJ
ejpam-5069	358	5	evolution	evolution	NOUN
ejpam-5069	358	6	,	,	PUNCT
ejpam-5069	358	7	7(6):679–692	7(6):679–692	NUM
ejpam-5069	358	8	,	,	PUNCT
ejpam-5069	358	9	2016	2016	NUM
ejpam-5069	358	10	.	.	PUNCT
ejpam-5069	359	1	[	[	X
ejpam-5069	359	2	5	5	X
ejpam-5069	359	3	]	]	PUNCT
ejpam-5069	359	4	gauss	gauss	PROPN
ejpam-5069	359	5	m	m	PROPN
ejpam-5069	359	6	cordeiro	cordeiro	PROPN
ejpam-5069	359	7	and	and	CCONJ
ejpam-5069	359	8	mário	mário	PROPN
ejpam-5069	359	9	de	de	PROPN
ejpam-5069	359	10	castro	castro	PROPN
ejpam-5069	359	11	.	.	PUNCT
ejpam-5069	360	1	a	a	DET
ejpam-5069	360	2	new	new	ADJ
ejpam-5069	360	3	family	family	NOUN
ejpam-5069	360	4	of	of	ADP
ejpam-5069	360	5	generalized	generalized	ADJ
ejpam-5069	360	6	distributions	distribution	NOUN
ejpam-5069	360	7	.	.	PUNCT
ejpam-5069	361	1	journal	journal	NOUN
ejpam-5069	361	2	of	of	ADP
ejpam-5069	361	3	statistical	statistical	ADJ
ejpam-5069	361	4	computation	computation	NOUN
ejpam-5069	361	5	and	and	CCONJ
ejpam-5069	361	6	simulation	simulation	NOUN
ejpam-5069	361	7	,	,	PUNCT
ejpam-5069	361	8	83(7):883–898	83(7):883–898	PROPN
ejpam-5069	361	9	,	,	PUNCT
ejpam-5069	361	10	2011	2011	NUM
ejpam-5069	361	11	.	.	PUNCT
ejpam-5069	362	1	[	[	X
ejpam-5069	362	2	6	6	NUM
ejpam-5069	362	3	]	]	PUNCT
ejpam-5069	362	4	gauss	gauss	PROPN
ejpam-5069	362	5	m	m	PROPN
ejpam-5069	362	6	cordeiro	cordeiro	PROPN
ejpam-5069	362	7	,	,	PUNCT
ejpam-5069	362	8	saralees	saralee	NOUN
ejpam-5069	362	9	nadarajah	nadarajah	NOUN
ejpam-5069	362	10	,	,	PUNCT
ejpam-5069	362	11	and	and	CCONJ
ejpam-5069	362	12	edwin	edwin	PROPN
ejpam-5069	362	13	mm	mm	PROPN
ejpam-5069	362	14	ortega	ortega	PROPN
ejpam-5069	362	15	.	.	PUNCT
ejpam-5069	363	1	the	the	DET
ejpam-5069	363	2	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	363	3	gumbel	gumbel	PROPN
ejpam-5069	363	4	distribution	distribution	NOUN
ejpam-5069	363	5	.	.	PUNCT
ejpam-5069	364	1	statistical	statistical	ADJ
ejpam-5069	364	2	methods	method	NOUN
ejpam-5069	364	3	&	&	CCONJ
ejpam-5069	364	4	applications	application	NOUN
ejpam-5069	364	5	,	,	PUNCT
ejpam-5069	364	6	21:139–168	21:139–168	NOUN
ejpam-5069	364	7	,	,	PUNCT
ejpam-5069	364	8	2012	2012	NUM
ejpam-5069	364	9	.	.	PUNCT
ejpam-5069	365	1	[	[	X
ejpam-5069	365	2	7	7	X
ejpam-5069	365	3	]	]	X
ejpam-5069	365	4	gauss	gauss	PROPN
ejpam-5069	365	5	m	m	PROPN
ejpam-5069	365	6	cordeiro	cordeiro	PROPN
ejpam-5069	365	7	,	,	PUNCT
ejpam-5069	365	8	edwin	edwin	PROPN
ejpam-5069	365	9	mm	mm	PROPN
ejpam-5069	365	10	ortega	ortega	PROPN
ejpam-5069	365	11	,	,	PUNCT
ejpam-5069	365	12	and	and	CCONJ
ejpam-5069	365	13	saralees	saralee	VERB
ejpam-5069	365	14	nadarajah	nadarajah	NOUN
ejpam-5069	365	15	.	.	PUNCT
ejpam-5069	366	1	the	the	DET
ejpam-5069	366	2	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	366	3	weibull	weibull	NOUN
ejpam-5069	366	4	distribution	distribution	NOUN
ejpam-5069	366	5	with	with	ADP
ejpam-5069	366	6	application	application	NOUN
ejpam-5069	366	7	to	to	ADP
ejpam-5069	366	8	failure	failure	NOUN
ejpam-5069	366	9	data	datum	NOUN
ejpam-5069	366	10	.	.	PUNCT
ejpam-5069	367	1	journal	journal	NOUN
ejpam-5069	367	2	of	of	ADP
ejpam-5069	367	3	the	the	DET
ejpam-5069	367	4	franklin	franklin	PROPN
ejpam-5069	367	5	institute	institute	PROPN
ejpam-5069	367	6	,	,	PUNCT
ejpam-5069	367	7	347(8):1399–1429	347(8):1399–1429	PROPN
ejpam-5069	367	8	,	,	PUNCT
ejpam-5069	367	9	2010	2010	NUM
ejpam-5069	367	10	.	.	PUNCT
ejpam-5069	368	1	[	[	X
ejpam-5069	368	2	8	8	NUM
ejpam-5069	368	3	]	]	PUNCT
ejpam-5069	368	4	abdulkader	abdulkader	NOUN
ejpam-5069	368	5	monier	monier	PROPN
ejpam-5069	368	6	daghistani	daghistani	PROPN
ejpam-5069	368	7	,	,	PUNCT
ejpam-5069	368	8	bander	bander	PROPN
ejpam-5069	368	9	al	al	PROPN
ejpam-5069	368	10	-	-	PUNCT
ejpam-5069	368	11	zahrani	zahrani	PROPN
ejpam-5069	368	12	,	,	PUNCT
ejpam-5069	368	13	and	and	CCONJ
ejpam-5069	368	14	muhammad	muhammad	PROPN
ejpam-5069	368	15	qaiser	qaiser	PROPN
ejpam-5069	368	16	shahbaz	shahbaz	PROPN
ejpam-5069	368	17	.	.	PUNCT
ejpam-5069	369	1	a	a	DET
ejpam-5069	369	2	new	new	ADJ
ejpam-5069	369	3	inverse	inverse	NOUN
ejpam-5069	369	4	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	369	5	family	family	NOUN
ejpam-5069	369	6	of	of	ADP
ejpam-5069	369	7	distributions	distribution	NOUN
ejpam-5069	369	8	:	:	PUNCT
ejpam-5069	369	9	properties	property	NOUN
ejpam-5069	369	10	and	and	CCONJ
ejpam-5069	369	11	application	application	NOUN
ejpam-5069	369	12	.	.	PUNCT
ejpam-5069	370	1	pakistan	pakistan	PROPN
ejpam-5069	370	2	journal	journal	PROPN
ejpam-5069	370	3	of	of	ADP
ejpam-5069	370	4	statistics	statistic	NOUN
ejpam-5069	370	5	and	and	CCONJ
ejpam-5069	370	6	operation	operation	NOUN
ejpam-5069	370	7	research	research	NOUN
ejpam-5069	370	8	,	,	PUNCT
ejpam-5069	370	9	pages	page	NOUN
ejpam-5069	370	10	313–326	313–326	NUM
ejpam-5069	370	11	,	,	PUNCT
ejpam-5069	370	12	2023	2023	NUM
ejpam-5069	370	13	.	.	PUNCT
ejpam-5069	371	1	[	[	X
ejpam-5069	371	2	9	9	NUM
ejpam-5069	371	3	]	]	SYM
ejpam-5069	371	4	marcelino	marcelino	PROPN
ejpam-5069	371	5	ar	ar	PROPN
ejpam-5069	371	6	de	de	PROPN
ejpam-5069	371	7	pascoa	pascoa	PROPN
ejpam-5069	371	8	,	,	PUNCT
ejpam-5069	371	9	edwin	edwin	PROPN
ejpam-5069	371	10	mm	mm	PROPN
ejpam-5069	371	11	ortega	ortega	PROPN
ejpam-5069	371	12	,	,	PUNCT
ejpam-5069	371	13	and	and	CCONJ
ejpam-5069	371	14	gauss	gauss	PROPN
ejpam-5069	371	15	m	m	PROPN
ejpam-5069	371	16	cordeiro	cordeiro	PROPN
ejpam-5069	371	17	.	.	PUNCT
ejpam-5069	372	1	the	the	DET
ejpam-5069	372	2	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	372	3	generalized	generalize	VERB
ejpam-5069	372	4	gamma	gamma	NOUN
ejpam-5069	372	5	distribution	distribution	NOUN
ejpam-5069	372	6	with	with	ADP
ejpam-5069	372	7	application	application	NOUN
ejpam-5069	372	8	in	in	ADP
ejpam-5069	372	9	survival	survival	NOUN
ejpam-5069	372	10	analysis	analysis	NOUN
ejpam-5069	372	11	.	.	PUNCT
ejpam-5069	373	1	statistical	statistical	ADJ
ejpam-5069	373	2	methodology	methodology	NOUN
ejpam-5069	373	3	,	,	PUNCT
ejpam-5069	373	4	8(5):411–433	8(5):411–433	NUM
ejpam-5069	373	5	,	,	PUNCT
ejpam-5069	373	6	2011	2011	NUM
ejpam-5069	373	7	.	.	PUNCT
ejpam-5069	374	1	[	[	X
ejpam-5069	374	2	10	10	NUM
ejpam-5069	374	3	]	]	X
ejpam-5069	374	4	walid	walid	PROPN
ejpam-5069	374	5	emam	emam	PROPN
ejpam-5069	374	6	and	and	CCONJ
ejpam-5069	374	7	yusra	yusra	ADJ
ejpam-5069	374	8	tashkandy	tashkandy	NOUN
ejpam-5069	374	9	.	.	PUNCT
ejpam-5069	375	1	the	the	DET
ejpam-5069	375	2	arcsine	arcsine	PROPN
ejpam-5069	375	3	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	375	4	-	-	PUNCT
ejpam-5069	375	5	generalized	generalize	VERB
ejpam-5069	375	6	family	family	NOUN
ejpam-5069	375	7	:	:	PUNCT
ejpam-5069	375	8	bayesian	bayesian	NOUN
ejpam-5069	375	9	and	and	CCONJ
ejpam-5069	375	10	classical	classical	ADJ
ejpam-5069	375	11	estimates	estimate	NOUN
ejpam-5069	375	12	and	and	CCONJ
ejpam-5069	375	13	application	application	NOUN
ejpam-5069	375	14	.	.	PUNCT
ejpam-5069	376	1	symmetry	symmetry	NOUN
ejpam-5069	376	2	,	,	PUNCT
ejpam-5069	376	3	14(11):2311	14(11):2311	NUM
ejpam-5069	376	4	,	,	PUNCT
ejpam-5069	376	5	2022	2022	NUM
ejpam-5069	376	6	.	.	PUNCT
ejpam-5069	377	1	[	[	X
ejpam-5069	377	2	11	11	NUM
ejpam-5069	377	3	]	]	X
ejpam-5069	377	4	diane	diane	PROPN
ejpam-5069	377	5	l	l	PROPN
ejpam-5069	377	6	evans	evans	PROPN
ejpam-5069	377	7	,	,	PUNCT
ejpam-5069	377	8	john	john	PROPN
ejpam-5069	377	9	h	h	PROPN
ejpam-5069	377	10	drew	draw	VERB
ejpam-5069	377	11	,	,	PUNCT
ejpam-5069	377	12	and	and	CCONJ
ejpam-5069	377	13	lawrence	lawrence	PROPN
ejpam-5069	377	14	m	m	PROPN
ejpam-5069	377	15	leemis	leemis	ADJ
ejpam-5069	377	16	.	.	PUNCT
ejpam-5069	378	1	the	the	DET
ejpam-5069	378	2	distribution	distribution	NOUN
ejpam-5069	378	3	of	of	ADP
ejpam-5069	378	4	the	the	DET
ejpam-5069	378	5	kolmogorov	kolmogorov	ADJ
ejpam-5069	378	6	–	–	PUNCT
ejpam-5069	378	7	smirnov	smirnov	PROPN
ejpam-5069	378	8	,	,	PUNCT
ejpam-5069	378	9	cramer	cramer	PROPN
ejpam-5069	378	10	–	–	PUNCT
ejpam-5069	378	11	von	von	PROPN
ejpam-5069	378	12	mises	mises	PROPN
ejpam-5069	378	13	,	,	PUNCT
ejpam-5069	378	14	and	and	CCONJ
ejpam-5069	378	15	anderson	anderson	PROPN
ejpam-5069	378	16	–	–	PUNCT
ejpam-5069	378	17	darling	darling	NOUN
ejpam-5069	378	18	test	test	NOUN
ejpam-5069	378	19	statistics	statistic	NOUN
ejpam-5069	378	20	for	for	ADP
ejpam-5069	378	21	exponential	exponential	ADJ
ejpam-5069	378	22	populations	population	NOUN
ejpam-5069	378	23	with	with	ADP
ejpam-5069	378	24	estimated	estimate	VERB
ejpam-5069	378	25	parameters	parameter	NOUN
ejpam-5069	378	26	.	.	PUNCT
ejpam-5069	379	1	computational	computational	ADJ
ejpam-5069	379	2	probability	probability	NOUN
ejpam-5069	379	3	applications	application	NOUN
ejpam-5069	379	4	,	,	PUNCT
ejpam-5069	379	5	pages	page	NOUN
ejpam-5069	379	6	165–190	165–190	NUM
ejpam-5069	379	7	,	,	PUNCT
ejpam-5069	379	8	2017	2017	NUM
ejpam-5069	379	9	.	.	PUNCT
ejpam-5069	380	1	[	[	X
ejpam-5069	380	2	12	12	NUM
ejpam-5069	380	3	]	]	X
ejpam-5069	380	4	indranil	indranil	PROPN
ejpam-5069	380	5	ghosh	ghosh	PROPN
ejpam-5069	380	6	.	.	PUNCT
ejpam-5069	381	1	the	the	DET
ejpam-5069	381	2	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	381	3	-	-	PUNCT
ejpam-5069	381	4	half	half	ADJ
ejpam-5069	381	5	-	-	PUNCT
ejpam-5069	381	6	cauchy	cauchy	NOUN
ejpam-5069	381	7	distribution	distribution	NOUN
ejpam-5069	381	8	:	:	PUNCT
ejpam-5069	381	9	properties	property	NOUN
ejpam-5069	381	10	and	and	CCONJ
ejpam-5069	381	11	applications	application	NOUN
ejpam-5069	381	12	.	.	PUNCT
ejpam-5069	382	1	j.	j.	PROPN
ejpam-5069	382	2	stat	stat	PROPN
ejpam-5069	382	3	.	.	PUNCT
ejpam-5069	383	1	theory	theory	NOUN
ejpam-5069	383	2	appl	appl	PROPN
ejpam-5069	383	3	.	.	PROPN
ejpam-5069	383	4	,	,	PUNCT
ejpam-5069	383	5	13(2):122–234	13(2):122–234	PROPN
ejpam-5069	383	6	,	,	PUNCT
ejpam-5069	383	7	2014	2014	NUM
ejpam-5069	383	8	.	.	PUNCT
ejpam-5069	384	1	[	[	X
ejpam-5069	384	2	13	13	NUM
ejpam-5069	384	3	]	]	PUNCT
ejpam-5069	384	4	is	be	AUX
ejpam-5069	384	5	gradstein	gradstein	ADJ
ejpam-5069	384	6	and	and	CCONJ
ejpam-5069	384	7	i	i	PRON
ejpam-5069	384	8	m	m	VERB
ejpam-5069	384	9	ryzhik	ryzhik	ADJ
ejpam-5069	384	10	.	.	PUNCT
ejpam-5069	385	1	table	table	NOUN
ejpam-5069	385	2	of	of	ADP
ejpam-5069	385	3	integrals	integral	NOUN
ejpam-5069	385	4	,	,	PUNCT
ejpam-5069	385	5	series	series	NOUN
ejpam-5069	385	6	,	,	PUNCT
ejpam-5069	385	7	and	and	CCONJ
ejpam-5069	385	8	products	product	NOUN
ejpam-5069	385	9	.	.	PUNCT
ejpam-5069	386	1	eds	ed	NOUN
ejpam-5069	386	2	.	.	PUNCT
ejpam-5069	387	1	jeffrey	jeffrey	PROPN
ejpam-5069	387	2	a.	a.	PROPN
ejpam-5069	387	3	,	,	PUNCT
ejpam-5069	387	4	zwillinger	zwillinger	PROPN
ejpam-5069	387	5	d.	d.	PROPN
ejpam-5069	387	6	new	new	PROPN
ejpam-5069	387	7	york	york	PROPN
ejpam-5069	387	8	:	:	PUNCT
ejpam-5069	387	9	academic	academic	PROPN
ejpam-5069	387	10	press	press	PROPN
ejpam-5069	387	11	inc	inc	PROPN
ejpam-5069	387	12	,	,	PUNCT
ejpam-5069	387	13	2007	2007	NUM
ejpam-5069	387	14	.	.	PUNCT
ejpam-5069	388	1	[	[	X
ejpam-5069	388	2	14	14	NUM
ejpam-5069	388	3	]	]	X
ejpam-5069	388	4	dct	dct	PROPN
ejpam-5069	388	5	granzotto	granzotto	PROPN
ejpam-5069	388	6	,	,	PUNCT
ejpam-5069	388	7	francisco	francisco	PROPN
ejpam-5069	388	8	louzada	louzada	PROPN
ejpam-5069	388	9	,	,	PUNCT
ejpam-5069	388	10	and	and	CCONJ
ejpam-5069	388	11	n	n	PRON
ejpam-5069	388	12	balakrishnan	balakrishnan	PROPN
ejpam-5069	388	13	.	.	PUNCT
ejpam-5069	389	1	cubic	cubic	ADJ
ejpam-5069	389	2	rank	rank	PROPN
ejpam-5069	389	3	transmuted	transmute	VERB
ejpam-5069	389	4	distributions	distribution	NOUN
ejpam-5069	389	5	:	:	PUNCT
ejpam-5069	389	6	inferential	inferential	ADJ
ejpam-5069	389	7	issues	issue	NOUN
ejpam-5069	389	8	and	and	CCONJ
ejpam-5069	389	9	applications	application	NOUN
ejpam-5069	389	10	.	.	PUNCT
ejpam-5069	390	1	journal	journal	NOUN
ejpam-5069	390	2	of	of	ADP
ejpam-5069	390	3	statistical	statistical	ADJ
ejpam-5069	390	4	computation	computation	NOUN
ejpam-5069	390	5	and	and	CCONJ
ejpam-5069	390	6	simulation	simulation	NOUN
ejpam-5069	390	7	,	,	PUNCT
ejpam-5069	390	8	87(14):2760–2778	87(14):2760–2778	PROPN
ejpam-5069	390	9	,	,	PUNCT
ejpam-5069	390	10	2017	2017	NUM
ejpam-5069	390	11	.	.	PUNCT
ejpam-5069	391	1	references	reference	NOUN
ejpam-5069	391	2	637	637	NUM
ejpam-5069	392	1	[	[	X
ejpam-5069	392	2	15	15	NUM
ejpam-5069	392	3	]	]	X
ejpam-5069	392	4	muhammad	muhammad	PROPN
ejpam-5069	392	5	shuaib	shuaib	PROPN
ejpam-5069	392	6	khan	khan	PROPN
ejpam-5069	392	7	,	,	PUNCT
ejpam-5069	392	8	robert	robert	PROPN
ejpam-5069	392	9	king	king	PROPN
ejpam-5069	392	10	,	,	PUNCT
ejpam-5069	392	11	and	and	CCONJ
ejpam-5069	392	12	irene	irene	PROPN
ejpam-5069	392	13	lena	lena	PROPN
ejpam-5069	392	14	hudson	hudson	PROPN
ejpam-5069	392	15	.	.	PUNCT
ejpam-5069	393	1	transmuted	transmute	VERB
ejpam-5069	393	2	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	393	3	distribution	distribution	NOUN
ejpam-5069	393	4	.	.	PUNCT
ejpam-5069	394	1	statistics	statistic	NOUN
ejpam-5069	394	2	in	in	ADP
ejpam-5069	394	3	transition	transition	NOUN
ejpam-5069	394	4	new	new	ADJ
ejpam-5069	394	5	series	series	NOUN
ejpam-5069	394	6	,	,	PUNCT
ejpam-5069	394	7	2(17):183–210	2(17):183–210	NUM
ejpam-5069	394	8	,	,	PUNCT
ejpam-5069	394	9	2016	2016	NUM
ejpam-5069	394	10	.	.	PUNCT
ejpam-5069	395	1	[	[	X
ejpam-5069	395	2	16	16	NUM
ejpam-5069	395	3	]	]	PUNCT
ejpam-5069	395	4	ponnambalam	ponnambalam	NOUN
ejpam-5069	395	5	kumaraswamy	kumaraswamy	NOUN
ejpam-5069	395	6	.	.	PUNCT
ejpam-5069	396	1	a	a	DET
ejpam-5069	396	2	generalized	generalize	VERB
ejpam-5069	396	3	probability	probability	NOUN
ejpam-5069	396	4	density	density	NOUN
ejpam-5069	396	5	function	function	NOUN
ejpam-5069	396	6	for	for	ADP
ejpam-5069	396	7	doublebounded	doublebounde	VERB
ejpam-5069	396	8	random	random	ADJ
ejpam-5069	396	9	processes	process	NOUN
ejpam-5069	396	10	.	.	PUNCT
ejpam-5069	397	1	journal	journal	NOUN
ejpam-5069	397	2	of	of	ADP
ejpam-5069	397	3	hydrology	hydrology	NOUN
ejpam-5069	397	4	,	,	PUNCT
ejpam-5069	397	5	46(1	46(1	NOUN
ejpam-5069	397	6	-	-	PUNCT
ejpam-5069	397	7	2):79–88	2):79–88	NUM
ejpam-5069	397	8	,	,	PUNCT
ejpam-5069	397	9	1980	1980	NUM
ejpam-5069	397	10	.	.	PUNCT
ejpam-5069	398	1	[	[	X
ejpam-5069	398	2	17	17	NUM
ejpam-5069	398	3	]	]	X
ejpam-5069	398	4	jones	jones	PROPN
ejpam-5069	398	5	mc	mc	PROPN
ejpam-5069	398	6	.	.	PROPN
ejpam-5069	398	7	kumaraswamy	kumaraswamy	PROPN
ejpam-5069	398	8	’s	’s	PART
ejpam-5069	398	9	distribution	distribution	NOUN
ejpam-5069	398	10	:	:	PUNCT
ejpam-5069	398	11	a	a	DET
ejpam-5069	398	12	beta	beta	NOUN
ejpam-5069	398	13	-	-	PUNCT
ejpam-5069	398	14	type	type	NOUN
ejpam-5069	398	15	distribution	distribution	NOUN
ejpam-5069	398	16	with	with	ADP
ejpam-5069	398	17	some	some	DET
ejpam-5069	398	18	tractability	tractability	NOUN
ejpam-5069	398	19	advantages	advantage	NOUN
ejpam-5069	398	20	.	.	PUNCT
ejpam-5069	399	1	statistical	statistical	ADJ
ejpam-5069	399	2	methodology	methodology	NOUN
ejpam-5069	399	3	,	,	PUNCT
ejpam-5069	399	4	6(1):70–81	6(1):70–81	NUM
ejpam-5069	399	5	,	,	PUNCT
ejpam-5069	399	6	2009	2009	NUM
ejpam-5069	399	7	.	.	PUNCT
ejpam-5069	400	1	[	[	X
ejpam-5069	400	2	18	18	NUM
ejpam-5069	400	3	]	]	X
ejpam-5069	400	4	md	md	PROPN
ejpam-5069	400	5	mahabubur	mahabubur	PROPN
ejpam-5069	400	6	rahman	rahman	PROPN
ejpam-5069	400	7	,	,	PUNCT
ejpam-5069	400	8	bander	bander	PROPN
ejpam-5069	400	9	al	al	PROPN
ejpam-5069	400	10	-	-	PUNCT
ejpam-5069	400	11	zahrani	zahrani	PROPN
ejpam-5069	400	12	,	,	PUNCT
ejpam-5069	400	13	saman	saman	PROPN
ejpam-5069	400	14	hanif	hanif	PROPN
ejpam-5069	400	15	shahbaz	shahbaz	PROPN
ejpam-5069	400	16	,	,	PUNCT
ejpam-5069	400	17	and	and	CCONJ
ejpam-5069	400	18	muhammad	muhammad	PROPN
ejpam-5069	400	19	qaiser	qaiser	PROPN
ejpam-5069	400	20	shahbaz	shahbaz	PROPN
ejpam-5069	400	21	.	.	PUNCT
ejpam-5069	401	1	cubic	cubic	ADJ
ejpam-5069	401	2	transmuted	transmute	VERB
ejpam-5069	401	3	uniform	uniform	ADJ
ejpam-5069	401	4	distribution	distribution	NOUN
ejpam-5069	401	5	:	:	PUNCT
ejpam-5069	401	6	an	an	DET
ejpam-5069	401	7	alternative	alternative	NOUN
ejpam-5069	401	8	to	to	ADP
ejpam-5069	401	9	beta	beta	ADJ
ejpam-5069	401	10	and	and	CCONJ
ejpam-5069	401	11	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	401	12	distributions	distribution	NOUN
ejpam-5069	401	13	.	.	PUNCT
ejpam-5069	402	1	european	european	ADJ
ejpam-5069	402	2	journal	journal	PROPN
ejpam-5069	402	3	of	of	ADP
ejpam-5069	402	4	pure	pure	ADJ
ejpam-5069	402	5	and	and	CCONJ
ejpam-5069	402	6	applied	applied	ADJ
ejpam-5069	402	7	mathematics	mathematic	NOUN
ejpam-5069	402	8	,	,	PUNCT
ejpam-5069	402	9	12(3):1106–1121	12(3):1106–1121	NUM
ejpam-5069	402	10	,	,	PUNCT
ejpam-5069	402	11	2019	2019	NUM
ejpam-5069	402	12	.	.	PUNCT
ejpam-5069	403	1	[	[	X
ejpam-5069	403	2	19	19	NUM
ejpam-5069	403	3	]	]	PUNCT
ejpam-5069	403	4	buğra	buğra	X
ejpam-5069	403	5	saraçoğlu	saraçoğlu	NOUN
ejpam-5069	403	6	and	and	CCONJ
ejpam-5069	403	7	caner	caner	NOUN
ejpam-5069	403	8	tanış.	tanış.	ADP
ejpam-5069	403	9	a	a	DET
ejpam-5069	403	10	new	new	ADJ
ejpam-5069	403	11	statistical	statistical	ADJ
ejpam-5069	403	12	distribution	distribution	NOUN
ejpam-5069	403	13	:	:	PUNCT
ejpam-5069	403	14	cubic	cubic	ADJ
ejpam-5069	403	15	rank	rank	NOUN
ejpam-5069	403	16	transmuted	transmute	VERB
ejpam-5069	403	17	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	403	18	distribution	distribution	NOUN
ejpam-5069	403	19	and	and	CCONJ
ejpam-5069	403	20	its	its	PRON
ejpam-5069	403	21	properties	property	NOUN
ejpam-5069	403	22	.	.	PUNCT
ejpam-5069	404	1	statistics	statistic	NOUN
ejpam-5069	404	2	in	in	ADP
ejpam-5069	404	3	transition	transition	NOUN
ejpam-5069	404	4	new	new	ADJ
ejpam-5069	404	5	series	series	NOUN
ejpam-5069	404	6	,	,	PUNCT
ejpam-5069	404	7	2018	2018	NUM
ejpam-5069	404	8	.	.	PUNCT
ejpam-5069	405	1	[	[	X
ejpam-5069	405	2	20	20	NUM
ejpam-5069	405	3	]	]	PUNCT
ejpam-5069	405	4	william	william	PROPN
ejpam-5069	405	5	t	t	PROPN
ejpam-5069	405	6	shaw	shaw	PROPN
ejpam-5069	405	7	and	and	CCONJ
ejpam-5069	405	8	ian	ian	PROPN
ejpam-5069	405	9	rc	rc	PROPN
ejpam-5069	405	10	buckley	buckley	NOUN
ejpam-5069	405	11	.	.	PUNCT
ejpam-5069	406	1	the	the	DET
ejpam-5069	406	2	alchemy	alchemy	NOUN
ejpam-5069	406	3	of	of	ADP
ejpam-5069	406	4	probability	probability	NOUN
ejpam-5069	406	5	distributions	distribution	NOUN
ejpam-5069	406	6	:	:	PUNCT
ejpam-5069	406	7	beyond	beyond	ADP
ejpam-5069	406	8	gram	gram	NOUN
ejpam-5069	406	9	-	-	PUNCT
ejpam-5069	406	10	charlier	charlier	NOUN
ejpam-5069	406	11	expansions	expansion	NOUN
ejpam-5069	406	12	,	,	PUNCT
ejpam-5069	406	13	and	and	CCONJ
ejpam-5069	406	14	a	a	DET
ejpam-5069	406	15	skew	skew	ADJ
ejpam-5069	406	16	-	-	PUNCT
ejpam-5069	406	17	kurtotic	kurtotic	ADJ
ejpam-5069	406	18	-	-	PUNCT
ejpam-5069	406	19	normal	normal	ADJ
ejpam-5069	406	20	distribution	distribution	NOUN
ejpam-5069	406	21	from	from	ADP
ejpam-5069	406	22	a	a	DET
ejpam-5069	406	23	rank	rank	NOUN
ejpam-5069	406	24	transmutation	transmutation	NOUN
ejpam-5069	406	25	map	map	NOUN
ejpam-5069	406	26	.	.	PUNCT
ejpam-5069	407	1	arxiv	arxiv	PROPN
ejpam-5069	407	2	preprint	preprint	PROPN
ejpam-5069	407	3	arxiv:0901.0434	arxiv:0901.0434	NOUN
ejpam-5069	407	4	,	,	PUNCT
ejpam-5069	407	5	2009	2009	NUM
ejpam-5069	407	6	.	.	PUNCT
ejpam-5069	408	1	[	[	X
ejpam-5069	408	2	21	21	NUM
ejpam-5069	408	3	]	]	X
ejpam-5069	408	4	rehan	rehan	PROPN
ejpam-5069	408	5	ahmad	ahmad	PROPN
ejpam-5069	408	6	khan	khan	PROPN
ejpam-5069	408	7	sherwania	sherwania	PROPN
ejpam-5069	408	8	,	,	PUNCT
ejpam-5069	408	9	muhammad	muhammad	PROPN
ejpam-5069	408	10	waqas	waqas	PROPN
ejpam-5069	408	11	,	,	PUNCT
ejpam-5069	408	12	nadia	nadia	PROPN
ejpam-5069	408	13	saeed	saeed	PROPN
ejpam-5069	408	14	,	,	PUNCT
ejpam-5069	408	15	muhammad	muhammad	PROPN
ejpam-5069	408	16	farooq	farooq	PROPN
ejpam-5069	408	17	,	,	PUNCT
ejpam-5069	408	18	muhammad	muhammad	PROPN
ejpam-5069	408	19	ali	ali	PROPN
ejpam-5069	408	20	raza	raza	PROPN
ejpam-5069	408	21	,	,	PUNCT
ejpam-5069	408	22	and	and	CCONJ
ejpam-5069	408	23	farrukh	farrukh	PROPN
ejpam-5069	408	24	jamal	jamal	PROPN
ejpam-5069	408	25	.	.	PUNCT
ejpam-5069	409	1	transmuted	transmute	VERB
ejpam-5069	409	2	inverted	inverted	ADJ
ejpam-5069	409	3	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	409	4	distribution	distribution	NOUN
ejpam-5069	409	5	:	:	PUNCT
ejpam-5069	409	6	theory	theory	NOUN
ejpam-5069	409	7	and	and	CCONJ
ejpam-5069	409	8	applications	application	NOUN
ejpam-5069	409	9	.	.	PUNCT
ejpam-5069	410	1	punjab	punjab	PROPN
ejpam-5069	410	2	university	university	PROPN
ejpam-5069	410	3	journal	journal	NOUN
ejpam-5069	410	4	of	of	ADP
ejpam-5069	410	5	mathematics	mathematic	NOUN
ejpam-5069	410	6	,	,	PUNCT
ejpam-5069	410	7	53(3	53(3	NUM
ejpam-5069	410	8	)	)	PUNCT
ejpam-5069	410	9	,	,	PUNCT
ejpam-5069	410	10	2021	2021	NUM
ejpam-5069	410	11	.	.	PUNCT
ejpam-5069	411	1	[	[	X
ejpam-5069	411	2	22	22	NUM
ejpam-5069	411	3	]	]	PUNCT
ejpam-5069	411	4	jiayi	jiayi	PROPN
ejpam-5069	411	5	tu	tu	PROPN
ejpam-5069	411	6	and	and	CCONJ
ejpam-5069	411	7	wenhao	wenhao	PROPN
ejpam-5069	411	8	gui	gui	PROPN
ejpam-5069	411	9	.	.	PUNCT
ejpam-5069	411	10	bayesian	bayesian	NOUN
ejpam-5069	411	11	inference	inference	NOUN
ejpam-5069	411	12	for	for	ADP
ejpam-5069	411	13	the	the	DET
ejpam-5069	411	14	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	411	15	distribution	distribution	NOUN
ejpam-5069	411	16	under	under	ADP
ejpam-5069	411	17	generalized	generalized	ADJ
ejpam-5069	411	18	progressive	progressive	ADJ
ejpam-5069	411	19	hybrid	hybrid	ADJ
ejpam-5069	411	20	censoring	censoring	NOUN
ejpam-5069	411	21	.	.	PUNCT
ejpam-5069	412	1	entropy	entropy	PROPN
ejpam-5069	412	2	,	,	PUNCT
ejpam-5069	412	3	22(9):1032	22(9):1032	NUM
ejpam-5069	412	4	,	,	PUNCT
ejpam-5069	412	5	2020	2020	NUM
ejpam-5069	412	6	.	.	PUNCT
ejpam-5069	413	1	[	[	X
ejpam-5069	413	2	23	23	NUM
ejpam-5069	413	3	]	]	PUNCT
ejpam-5069	413	4	bing	bing	NOUN
ejpam-5069	413	5	xing	xing	PROPN
ejpam-5069	413	6	wang	wang	PROPN
ejpam-5069	413	7	,	,	PUNCT
ejpam-5069	413	8	xiu	xiu	PROPN
ejpam-5069	413	9	kun	kun	PROPN
ejpam-5069	413	10	wang	wang	PROPN
ejpam-5069	413	11	,	,	PUNCT
ejpam-5069	413	12	and	and	CCONJ
ejpam-5069	413	13	keming	keme	VERB
ejpam-5069	413	14	yu	yu	PROPN
ejpam-5069	413	15	.	.	PROPN
ejpam-5069	413	16	inference	inference	NOUN
ejpam-5069	413	17	on	on	ADP
ejpam-5069	413	18	the	the	DET
ejpam-5069	413	19	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	413	20	distribution	distribution	NOUN
ejpam-5069	413	21	.	.	PUNCT
ejpam-5069	414	1	communications	communication	NOUN
ejpam-5069	414	2	in	in	ADP
ejpam-5069	414	3	statistics	statistic	NOUN
ejpam-5069	414	4	-	-	PUNCT
ejpam-5069	414	5	theory	theory	NOUN
ejpam-5069	414	6	and	and	CCONJ
ejpam-5069	414	7	methods	method	NOUN
ejpam-5069	414	8	,	,	PUNCT
ejpam-5069	414	9	46(5):2079–2090	46(5):2079–2090	NUM
ejpam-5069	414	10	,	,	PUNCT
ejpam-5069	414	11	2017	2017	NUM
ejpam-5069	414	12	.	.	PUNCT
ejpam-5069	415	1	[	[	X
ejpam-5069	415	2	24	24	NUM
ejpam-5069	415	3	]	]	X
ejpam-5069	415	4	liang	liang	PROPN
ejpam-5069	415	5	wang	wang	PROPN
ejpam-5069	415	6	.	.	PUNCT
ejpam-5069	416	1	inference	inference	NOUN
ejpam-5069	416	2	of	of	ADP
ejpam-5069	416	3	progressively	progressively	ADV
ejpam-5069	416	4	censored	censor	VERB
ejpam-5069	416	5	competing	compete	VERB
ejpam-5069	416	6	risks	risk	NOUN
ejpam-5069	416	7	data	datum	NOUN
ejpam-5069	416	8	from	from	ADP
ejpam-5069	416	9	kumaraswamy	kumaraswamy	ADJ
ejpam-5069	416	10	distributions	distribution	NOUN
ejpam-5069	416	11	.	.	PUNCT
ejpam-5069	417	1	journal	journal	NOUN
ejpam-5069	417	2	of	of	ADP
ejpam-5069	417	3	computational	computational	ADJ
ejpam-5069	417	4	and	and	CCONJ
ejpam-5069	417	5	applied	applied	ADJ
ejpam-5069	417	6	mathematics	mathematic	NOUN
ejpam-5069	417	7	,	,	PUNCT
ejpam-5069	417	8	343:719–736	343:719–736	NUM
ejpam-5069	417	9	,	,	PUNCT
ejpam-5069	417	10	2018	2018	NUM
ejpam-5069	417	11	.	.	PUNCT