id	sid	tid	token	lemma	pos
ejpam-5819	1	1	european	european	PROPN
ejpam-5819	1	2	journal	journal	PROPN
ejpam-5819	1	3	of	of	ADP
ejpam-5819	1	4	pure	pure	ADJ
ejpam-5819	1	5	and	and	CCONJ
ejpam-5819	1	6	applied	applied	ADJ
ejpam-5819	1	7	mathematics	mathematic	NOUN
ejpam-5819	1	8	2025	2025	NUM
ejpam-5819	1	9	,	,	PUNCT
ejpam-5819	1	10	vol	vol	NOUN
ejpam-5819	1	11	.	.	PROPN
ejpam-5819	1	12	18	18	NUM
ejpam-5819	1	13	,	,	PUNCT
ejpam-5819	1	14	issue	issue	NOUN
ejpam-5819	1	15	2	2	NUM
ejpam-5819	1	16	,	,	PUNCT
ejpam-5819	1	17	article	article	NOUN
ejpam-5819	1	18	number	number	NOUN
ejpam-5819	1	19	5819	5819	NUM
ejpam-5819	1	20	issn	issn	PROPN
ejpam-5819	1	21	1307	1307	NUM
ejpam-5819	1	22	-	-	SYM
ejpam-5819	1	23	5543	5543	NUM
ejpam-5819	1	24	–	–	PUNCT
ejpam-5819	1	25	ejpam.com	ejpam.com	X
ejpam-5819	1	26	published	publish	VERB
ejpam-5819	1	27	by	by	ADP
ejpam-5819	1	28	new	new	PROPN
ejpam-5819	1	29	york	york	PROPN
ejpam-5819	1	30	business	business	PROPN
ejpam-5819	1	31	global	global	PROPN
ejpam-5819	1	32	a	a	DET
ejpam-5819	1	33	new	new	ADJ
ejpam-5819	1	34	bivariate	bivariate	ADJ
ejpam-5819	1	35	transmuted	transmuted	ADJ
ejpam-5819	1	36	family	family	NOUN
ejpam-5819	1	37	of	of	ADP
ejpam-5819	1	38	distributions	distribution	NOUN
ejpam-5819	1	39	:	:	PUNCT
ejpam-5819	1	40	properties	property	NOUN
ejpam-5819	1	41	and	and	CCONJ
ejpam-5819	1	42	application	application	NOUN
ejpam-5819	1	43	amani	amani	PROPN
ejpam-5819	1	44	abdullah	abdullah	PROPN
ejpam-5819	1	45	alsalafi1,2,∗	alsalafi1,2,∗	PROPN
ejpam-5819	1	46	,	,	PUNCT
ejpam-5819	1	47	saman	saman	PROPN
ejpam-5819	1	48	hanif	hanif	PROPN
ejpam-5819	1	49	shahbaz1	shahbaz1	PROPN
ejpam-5819	1	50	,	,	PUNCT
ejpam-5819	1	51	lutfiah	lutfiah	PROPN
ejpam-5819	1	52	ismail	ismail	PROPN
ejpam-5819	1	53	al	al	PROPN
ejpam-5819	1	54	-	-	PUNCT
ejpam-5819	1	55	turk1	turk1	NOUN
ejpam-5819	1	56	1	1	NUM
ejpam-5819	1	57	department	department	NOUN
ejpam-5819	1	58	of	of	ADP
ejpam-5819	1	59	statistics	statistic	NOUN
ejpam-5819	1	60	,	,	PUNCT
ejpam-5819	1	61	faculty	faculty	NOUN
ejpam-5819	1	62	of	of	ADP
ejpam-5819	1	63	science	science	NOUN
ejpam-5819	1	64	,	,	PUNCT
ejpam-5819	1	65	king	king	PROPN
ejpam-5819	1	66	abdulaziz	abdulaziz	PROPN
ejpam-5819	1	67	university	university	PROPN
ejpam-5819	1	68	,	,	PUNCT
ejpam-5819	1	69	jeddah	jeddah	PROPN
ejpam-5819	1	70	21589	21589	NUM
ejpam-5819	1	71	,	,	PUNCT
ejpam-5819	1	72	saudi	saudi	PROPN
ejpam-5819	1	73	arabia	arabia	PROPN
ejpam-5819	1	74	2	2	NUM
ejpam-5819	1	75	department	department	NOUN
ejpam-5819	1	76	of	of	ADP
ejpam-5819	1	77	mathematics	mathematic	NOUN
ejpam-5819	1	78	,	,	PUNCT
ejpam-5819	1	79	sana’a	sana’a	NOUN
ejpam-5819	1	80	university	university	NOUN
ejpam-5819	1	81	,	,	PUNCT
ejpam-5819	1	82	sana’a	sana’a	NOUN
ejpam-5819	1	83	,	,	PUNCT
ejpam-5819	1	84	yemen	yemen	PROPN
ejpam-5819	1	85	abstract	abstract	NOUN
ejpam-5819	1	86	.	.	PUNCT
ejpam-5819	2	1	the	the	DET
ejpam-5819	2	2	cubic	cubic	ADJ
ejpam-5819	2	3	transformation	transformation	NOUN
ejpam-5819	2	4	families	family	NOUN
ejpam-5819	2	5	of	of	ADP
ejpam-5819	2	6	distributions	distribution	NOUN
ejpam-5819	2	7	are	be	AUX
ejpam-5819	2	8	widely	widely	ADV
ejpam-5819	2	9	used	use	VERB
ejpam-5819	2	10	to	to	PART
ejpam-5819	2	11	model	model	VERB
ejpam-5819	2	12	complex	complex	ADJ
ejpam-5819	2	13	univariate	univariate	ADJ
ejpam-5819	2	14	data	datum	NOUN
ejpam-5819	2	15	.	.	PUNCT
ejpam-5819	3	1	however	however	ADV
ejpam-5819	3	2	,	,	PUNCT
ejpam-5819	3	3	in	in	ADP
ejpam-5819	3	4	many	many	ADJ
ejpam-5819	3	5	situations	situation	NOUN
ejpam-5819	3	6	,	,	PUNCT
ejpam-5819	3	7	the	the	DET
ejpam-5819	3	8	jointly	jointly	ADV
ejpam-5819	3	9	modeling	modeling	NOUN
ejpam-5819	3	10	of	of	ADP
ejpam-5819	3	11	two	two	NUM
ejpam-5819	3	12	variables	variable	NOUN
ejpam-5819	3	13	is	be	AUX
ejpam-5819	3	14	necessary	necessary	ADJ
ejpam-5819	3	15	,	,	PUNCT
ejpam-5819	3	16	making	make	VERB
ejpam-5819	3	17	bivariate	bivariate	ADJ
ejpam-5819	3	18	distributions	distribution	NOUN
ejpam-5819	3	19	essential	essential	ADJ
ejpam-5819	3	20	.	.	PUNCT
ejpam-5819	4	1	this	this	DET
ejpam-5819	4	2	paper	paper	NOUN
ejpam-5819	4	3	introduces	introduce	VERB
ejpam-5819	4	4	a	a	DET
ejpam-5819	4	5	novel	novel	ADJ
ejpam-5819	4	6	family	family	NOUN
ejpam-5819	4	7	of	of	ADP
ejpam-5819	4	8	bivariate	bivariate	ADJ
ejpam-5819	4	9	probability	probability	NOUN
ejpam-5819	4	10	distributions	distribution	NOUN
ejpam-5819	4	11	that	that	PRON
ejpam-5819	4	12	extends	extend	VERB
ejpam-5819	4	13	the	the	DET
ejpam-5819	4	14	univariate	univariate	ADJ
ejpam-5819	4	15	cubic	cubic	ADJ
ejpam-5819	4	16	transformation	transformation	NOUN
ejpam-5819	4	17	family	family	NOUN
ejpam-5819	4	18	.	.	PUNCT
ejpam-5819	5	1	the	the	DET
ejpam-5819	5	2	bivariate	bivariate	ADJ
ejpam-5819	5	3	cubic	cubic	ADJ
ejpam-5819	5	4	transmuted	transmute	VERB
ejpam-5819	5	5	(	(	PUNCT
ejpam-5819	5	6	bct	bct	NOUN
ejpam-5819	5	7	)	)	PUNCT
ejpam-5819	5	8	family	family	NOUN
ejpam-5819	5	9	of	of	ADP
ejpam-5819	5	10	distributions	distribution	NOUN
ejpam-5819	5	11	is	be	AUX
ejpam-5819	5	12	comprehensively	comprehensively	ADV
ejpam-5819	5	13	discussed	discuss	VERB
ejpam-5819	5	14	,	,	PUNCT
ejpam-5819	5	15	with	with	ADP
ejpam-5819	5	16	its	its	PRON
ejpam-5819	5	17	statistical	statistical	ADJ
ejpam-5819	5	18	properties	property	NOUN
ejpam-5819	5	19	explored	explore	VERB
ejpam-5819	5	20	in	in	ADP
ejpam-5819	5	21	detail	detail	NOUN
ejpam-5819	5	22	.	.	PUNCT
ejpam-5819	6	1	within	within	ADP
ejpam-5819	6	2	this	this	DET
ejpam-5819	6	3	family	family	NOUN
ejpam-5819	6	4	,	,	PUNCT
ejpam-5819	6	5	the	the	DET
ejpam-5819	6	6	bivariate	bivariate	ADJ
ejpam-5819	6	7	cubic	cubic	ADJ
ejpam-5819	6	8	transmuted	transmute	VERB
ejpam-5819	6	9	burr	burr	NOUN
ejpam-5819	6	10	(	(	PUNCT
ejpam-5819	6	11	bctb	bctb	NOUN
ejpam-5819	6	12	)	)	PUNCT
ejpam-5819	6	13	distribution	distribution	NOUN
ejpam-5819	6	14	is	be	AUX
ejpam-5819	6	15	specifically	specifically	ADV
ejpam-5819	6	16	analyzed	analyze	VERB
ejpam-5819	6	17	.	.	PUNCT
ejpam-5819	7	1	its	its	PRON
ejpam-5819	7	2	statistical	statistical	ADJ
ejpam-5819	7	3	properties	property	NOUN
ejpam-5819	7	4	are	be	AUX
ejpam-5819	7	5	examined	examine	VERB
ejpam-5819	7	6	,	,	PUNCT
ejpam-5819	7	7	and	and	CCONJ
ejpam-5819	7	8	its	its	PRON
ejpam-5819	7	9	parameters	parameter	NOUN
ejpam-5819	7	10	are	be	AUX
ejpam-5819	7	11	estimated	estimate	VERB
ejpam-5819	7	12	using	use	VERB
ejpam-5819	7	13	the	the	DET
ejpam-5819	7	14	maximum	maximum	ADJ
ejpam-5819	7	15	likelihood	likelihood	NOUN
ejpam-5819	7	16	estimation	estimation	NOUN
ejpam-5819	7	17	(	(	PUNCT
ejpam-5819	7	18	mle	mle	NOUN
ejpam-5819	7	19	)	)	PUNCT
ejpam-5819	7	20	method	method	NOUN
ejpam-5819	7	21	.	.	PUNCT
ejpam-5819	8	1	to	to	PART
ejpam-5819	8	2	assess	assess	VERB
ejpam-5819	8	3	the	the	DET
ejpam-5819	8	4	performance	performance	NOUN
ejpam-5819	8	5	of	of	ADP
ejpam-5819	8	6	the	the	DET
ejpam-5819	8	7	estimation	estimation	NOUN
ejpam-5819	8	8	procedure	procedure	NOUN
ejpam-5819	8	9	,	,	PUNCT
ejpam-5819	8	10	a	a	DET
ejpam-5819	8	11	monte	monte	PROPN
ejpam-5819	8	12	carlo	carlo	PROPN
ejpam-5819	8	13	simulation	simulation	PROPN
ejpam-5819	8	14	study	study	NOUN
ejpam-5819	8	15	is	be	AUX
ejpam-5819	8	16	conducted	conduct	VERB
ejpam-5819	8	17	.	.	PUNCT
ejpam-5819	9	1	furthermore	furthermore	ADV
ejpam-5819	9	2	,	,	PUNCT
ejpam-5819	9	3	the	the	DET
ejpam-5819	9	4	applicability	applicability	NOUN
ejpam-5819	9	5	of	of	ADP
ejpam-5819	9	6	the	the	DET
ejpam-5819	9	7	proposed	propose	VERB
ejpam-5819	9	8	model	model	NOUN
ejpam-5819	9	9	is	be	AUX
ejpam-5819	9	10	demonstrated	demonstrate	VERB
ejpam-5819	9	11	by	by	ADP
ejpam-5819	9	12	fitting	fit	VERB
ejpam-5819	9	13	it	it	PRON
ejpam-5819	9	14	to	to	ADP
ejpam-5819	9	15	real	real	ADJ
ejpam-5819	9	16	datasets	dataset	NOUN
ejpam-5819	9	17	,	,	PUNCT
ejpam-5819	9	18	and	and	CCONJ
ejpam-5819	9	19	its	its	PRON
ejpam-5819	9	20	relevance	relevance	NOUN
ejpam-5819	9	21	is	be	AUX
ejpam-5819	9	22	further	far	ADV
ejpam-5819	9	23	discussed	discuss	VERB
ejpam-5819	9	24	.	.	PUNCT
ejpam-5819	10	1	2020	2020	NUM
ejpam-5819	10	2	mathematics	mathematic	NOUN
ejpam-5819	10	3	subject	subject	NOUN
ejpam-5819	10	4	classifications	classification	NOUN
ejpam-5819	10	5	:	:	PUNCT
ejpam-5819	10	6	60e05	60e05	NUM
ejpam-5819	10	7	,	,	PUNCT
ejpam-5819	10	8	62e15	62e15	NUM
ejpam-5819	10	9	,	,	PUNCT
ejpam-5819	10	10	62g30	62g30	NUM
ejpam-5819	10	11	,	,	PUNCT
ejpam-5819	10	12	62f10	62f10	ADJ
ejpam-5819	10	13	key	key	ADJ
ejpam-5819	10	14	words	word	NOUN
ejpam-5819	10	15	and	and	CCONJ
ejpam-5819	10	16	phrases	phrase	NOUN
ejpam-5819	10	17	:	:	PUNCT
ejpam-5819	10	18	bivariate	bivariate	ADJ
ejpam-5819	10	19	cubic	cubic	ADJ
ejpam-5819	10	20	transmuted	transmute	VERB
ejpam-5819	10	21	family	family	NOUN
ejpam-5819	10	22	,	,	PUNCT
ejpam-5819	10	23	bivariate	bivariate	ADJ
ejpam-5819	10	24	cubic	cubic	ADJ
ejpam-5819	10	25	transmuted	transmute	VERB
ejpam-5819	10	26	burr	burr	NOUN
ejpam-5819	10	27	distribution	distribution	NOUN
ejpam-5819	10	28	,	,	PUNCT
ejpam-5819	10	29	burr	burr	NOUN
ejpam-5819	10	30	distribution	distribution	NOUN
ejpam-5819	10	31	,	,	PUNCT
ejpam-5819	10	32	maximum	maximum	ADJ
ejpam-5819	10	33	likelihood	likelihood	NOUN
ejpam-5819	10	34	estimation	estimation	NOUN
ejpam-5819	10	35	1	1	NUM
ejpam-5819	10	36	.	.	PUNCT
ejpam-5819	10	37	introduction	introduction	NOUN
ejpam-5819	10	38	in	in	ADP
ejpam-5819	10	39	recent	recent	ADJ
ejpam-5819	10	40	decades	decade	NOUN
ejpam-5819	10	41	,	,	PUNCT
ejpam-5819	10	42	significant	significant	ADJ
ejpam-5819	10	43	advancements	advancement	NOUN
ejpam-5819	10	44	have	have	AUX
ejpam-5819	10	45	been	be	AUX
ejpam-5819	10	46	made	make	VERB
ejpam-5819	10	47	in	in	ADP
ejpam-5819	10	48	the	the	DET
ejpam-5819	10	49	development	development	NOUN
ejpam-5819	10	50	of	of	ADP
ejpam-5819	10	51	continuous	continuous	ADJ
ejpam-5819	10	52	univariate	univariate	ADJ
ejpam-5819	10	53	distributions	distribution	NOUN
ejpam-5819	10	54	and	and	CCONJ
ejpam-5819	10	55	families	family	NOUN
ejpam-5819	10	56	of	of	ADP
ejpam-5819	10	57	univariate	univariate	ADJ
ejpam-5819	10	58	distributions	distribution	NOUN
ejpam-5819	10	59	.	.	PUNCT
ejpam-5819	11	1	despite	despite	SCONJ
ejpam-5819	11	2	these	these	DET
ejpam-5819	11	3	advancements	advancement	NOUN
ejpam-5819	11	4	,	,	PUNCT
ejpam-5819	11	5	many	many	ADJ
ejpam-5819	11	6	datasets	dataset	NOUN
ejpam-5819	11	7	in	in	ADP
ejpam-5819	11	8	reliability	reliability	NOUN
ejpam-5819	11	9	,	,	PUNCT
ejpam-5819	11	10	science	science	NOUN
ejpam-5819	11	11	,	,	PUNCT
ejpam-5819	11	12	and	and	CCONJ
ejpam-5819	11	13	related	related	ADJ
ejpam-5819	11	14	fields	field	NOUN
ejpam-5819	11	15	deviate	deviate	VERB
ejpam-5819	11	16	from	from	ADP
ejpam-5819	11	17	traditional	traditional	ADJ
ejpam-5819	11	18	distributions	distribution	NOUN
ejpam-5819	11	19	.	.	PUNCT
ejpam-5819	12	1	consequently	consequently	ADV
ejpam-5819	12	2	,	,	PUNCT
ejpam-5819	12	3	there	there	PRON
ejpam-5819	12	4	is	be	VERB
ejpam-5819	12	5	a	a	DET
ejpam-5819	12	6	pressing	press	VERB
ejpam-5819	12	7	need	need	NOUN
ejpam-5819	12	8	for	for	ADP
ejpam-5819	12	9	modified	modified	ADJ
ejpam-5819	12	10	,	,	PUNCT
ejpam-5819	12	11	extended	extend	VERB
ejpam-5819	12	12	,	,	PUNCT
ejpam-5819	12	13	and	and	CCONJ
ejpam-5819	12	14	generalized	generalized	ADJ
ejpam-5819	12	15	distributions	distribution	NOUN
ejpam-5819	12	16	tailored	tailor	VERB
ejpam-5819	12	17	to	to	ADP
ejpam-5819	12	18	these	these	DET
ejpam-5819	12	19	specialized	specialized	ADJ
ejpam-5819	12	20	applications	application	NOUN
ejpam-5819	12	21	.	.	PUNCT
ejpam-5819	13	1	one	one	NUM
ejpam-5819	13	2	such	such	ADJ
ejpam-5819	13	3	innovation	innovation	NOUN
ejpam-5819	13	4	is	be	AUX
ejpam-5819	13	5	the	the	DET
ejpam-5819	13	6	transformed	transform	VERB
ejpam-5819	13	7	-	-	PUNCT
ejpam-5819	13	8	transformer	transformer	NOUN
ejpam-5819	13	9	method	method	NOUN
ejpam-5819	13	10	,	,	PUNCT
ejpam-5819	13	11	formerly	formerly	ADV
ejpam-5819	13	12	referred	refer	VERB
ejpam-5819	13	13	to	to	ADP
ejpam-5819	13	14	as	as	ADP
ejpam-5819	13	15	the	the	DET
ejpam-5819	13	16	exponentiated	exponentiated	PROPN
ejpam-5819	13	17	t	t	PROPN
ejpam-5819	13	18	−	−	NOUN
ejpam-5819	13	19	x	x	SYM
ejpam-5819	13	20	family	family	NOUN
ejpam-5819	13	21	of	of	ADP
ejpam-5819	13	22	distributions	distribution	NOUN
ejpam-5819	13	23	by	by	ADP
ejpam-5819	13	24	[	[	X
ejpam-5819	13	25	1	1	NUM
ejpam-5819	13	26	]	]	PUNCT
ejpam-5819	13	27	.	.	PUNCT
ejpam-5819	14	1	this	this	DET
ejpam-5819	14	2	method	method	NOUN
ejpam-5819	14	3	has	have	AUX
ejpam-5819	14	4	been	be	AUX
ejpam-5819	14	5	pivotal	pivotal	ADJ
ejpam-5819	14	6	in	in	ADP
ejpam-5819	14	7	∗corresponding	∗corresponde	VERB
ejpam-5819	14	8	author	author	NOUN
ejpam-5819	14	9	.	.	PUNCT
ejpam-5819	15	1	doi	doi	NOUN
ejpam-5819	15	2	:	:	PUNCT
ejpam-5819	15	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5819	https://doi.org/10.29020/nybg.ejpam.v18i2.5819	NOUN
ejpam-5819	15	4	email	email	NOUN
ejpam-5819	15	5	addresses	address	NOUN
ejpam-5819	15	6	:	:	PUNCT
ejpam-5819	15	7	amohammedalsalafi@stu.kau.edu.sa	amohammedalsalafi@stu.kau.edu.sa	PROPN
ejpam-5819	15	8	(	(	PUNCT
ejpam-5819	15	9	a.	a.	NOUN
ejpam-5819	15	10	a.	a.	NOUN
ejpam-5819	15	11	alsalafi	alsalafi	PROPN
ejpam-5819	15	12	)	)	PUNCT
ejpam-5819	15	13	,	,	PUNCT
ejpam-5819	15	14	shmohamad2@kau.edu.sa	shmohamad2@kau.edu.sa	NOUN
ejpam-5819	15	15	(	(	PUNCT
ejpam-5819	15	16	s.	s.	PROPN
ejpam-5819	15	17	h.	h.	PROPN
ejpam-5819	15	18	shahbaz	shahbaz	PROPN
ejpam-5819	15	19	)	)	PUNCT
ejpam-5819	15	20	,	,	PUNCT
ejpam-5819	15	21	lturk@kau.edu.sa	lturk@kau.edu.sa	PROPN
ejpam-5819	15	22	(	(	PUNCT
ejpam-5819	15	23	l.	l.	PROPN
ejpam-5819	15	24	i.	i.	PROPN
ejpam-5819	15	25	al	al	PROPN
ejpam-5819	15	26	-	-	PUNCT
ejpam-5819	15	27	turk	turk	PROPN
ejpam-5819	15	28	)	)	PUNCT
ejpam-5819	15	29	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5819	16	1	1	1	NUM
ejpam-5819	16	2	copyright	copyright	NOUN
ejpam-5819	16	3	:	:	PUNCT
ejpam-5819	16	4	©	©	PROPN
ejpam-5819	16	5	2025	2025	NUM
ejpam-5819	16	6	the	the	DET
ejpam-5819	16	7	author(s	author(s	NOUN
ejpam-5819	16	8	)	)	PUNCT
ejpam-5819	16	9	.	.	PUNCT
ejpam-5819	17	1	(	(	PUNCT
ejpam-5819	17	2	cc	cc	NOUN
ejpam-5819	17	3	by	by	ADP
ejpam-5819	17	4	-	-	PUNCT
ejpam-5819	17	5	nc	nc	PROPN
ejpam-5819	17	6	4.0	4.0	NUM
ejpam-5819	17	7	)	)	PUNCT
ejpam-5819	17	8	a.	a.	NOUN
ejpam-5819	17	9	a.	a.	NOUN
ejpam-5819	17	10	alsalafi	alsalafi	PROPN
ejpam-5819	17	11	,	,	PUNCT
ejpam-5819	17	12	s.	s.	PROPN
ejpam-5819	17	13	h.	h.	PROPN
ejpam-5819	17	14	shahbaz	shahbaz	PROPN
ejpam-5819	17	15	,	,	PUNCT
ejpam-5819	17	16	l.	l.	PROPN
ejpam-5819	17	17	i.	i.	PROPN
ejpam-5819	17	18	al	al	PROPN
ejpam-5819	17	19	-	-	PUNCT
ejpam-5819	17	20	turk	turk	PROPN
ejpam-5819	17	21	/	/	SYM
ejpam-5819	17	22	eur	eur	PROPN
ejpam-5819	17	23	.	.	PUNCT
ejpam-5819	18	1	j.	j.	PROPN
ejpam-5819	18	2	pure	pure	PROPN
ejpam-5819	18	3	appl	appl	PROPN
ejpam-5819	18	4	.	.	PROPN
ejpam-5819	18	5	math	math	PROPN
ejpam-5819	18	6	,	,	PUNCT
ejpam-5819	18	7	18	18	NUM
ejpam-5819	18	8	(	(	PUNCT
ejpam-5819	18	9	2	2	NUM
ejpam-5819	18	10	)	)	PUNCT
ejpam-5819	18	11	(	(	PUNCT
ejpam-5819	18	12	2025	2025	NUM
ejpam-5819	18	13	)	)	PUNCT
ejpam-5819	18	14	,	,	PUNCT
ejpam-5819	18	15	5819	5819	NUM
ejpam-5819	18	16	2	2	NUM
ejpam-5819	18	17	of	of	ADP
ejpam-5819	18	18	28	28	NUM
ejpam-5819	18	19	extending	extend	VERB
ejpam-5819	18	20	traditional	traditional	ADJ
ejpam-5819	18	21	distributions	distribution	NOUN
ejpam-5819	18	22	to	to	PART
ejpam-5819	18	23	address	address	VERB
ejpam-5819	18	24	complex	complex	ADJ
ejpam-5819	18	25	data	datum	NOUN
ejpam-5819	18	26	behaviors	behavior	NOUN
ejpam-5819	18	27	.	.	PUNCT
ejpam-5819	19	1	bivariate	bivariate	ADJ
ejpam-5819	19	2	distributions	distribution	NOUN
ejpam-5819	19	3	also	also	ADV
ejpam-5819	19	4	play	play	VERB
ejpam-5819	19	5	a	a	DET
ejpam-5819	19	6	critical	critical	ADJ
ejpam-5819	19	7	role	role	NOUN
ejpam-5819	19	8	,	,	PUNCT
ejpam-5819	19	9	particularly	particularly	ADV
ejpam-5819	19	10	in	in	ADP
ejpam-5819	19	11	modeling	model	VERB
ejpam-5819	19	12	extreme	extreme	ADJ
ejpam-5819	19	13	events	event	NOUN
ejpam-5819	19	14	.	.	PUNCT
ejpam-5819	20	1	return	return	VERB
ejpam-5819	20	2	periods	period	NOUN
ejpam-5819	20	3	in	in	ADP
ejpam-5819	20	4	bivariate	bivariate	ADJ
ejpam-5819	20	5	distributions	distribution	NOUN
ejpam-5819	20	6	can	can	AUX
ejpam-5819	20	7	be	be	AUX
ejpam-5819	20	8	analyzed	analyze	VERB
ejpam-5819	20	9	using	use	VERB
ejpam-5819	20	10	separate	separate	ADJ
ejpam-5819	20	11	single	single	ADJ
ejpam-5819	20	12	random	random	ADJ
ejpam-5819	20	13	variables	variable	NOUN
ejpam-5819	20	14	or	or	CCONJ
ejpam-5819	20	15	joint	joint	ADJ
ejpam-5819	20	16	random	random	ADJ
ejpam-5819	20	17	variables	variable	NOUN
ejpam-5819	20	18	.	.	PUNCT
ejpam-5819	21	1	these	these	DET
ejpam-5819	21	2	return	return	NOUN
ejpam-5819	21	3	periods	period	NOUN
ejpam-5819	21	4	may	may	AUX
ejpam-5819	21	5	involve	involve	VERB
ejpam-5819	21	6	one	one	NUM
ejpam-5819	21	7	variable	variable	NOUN
ejpam-5819	21	8	exceeding	exceed	VERB
ejpam-5819	21	9	a	a	DET
ejpam-5819	21	10	certain	certain	ADJ
ejpam-5819	21	11	magnitude	magnitude	NOUN
ejpam-5819	21	12	,	,	PUNCT
ejpam-5819	21	13	another	another	DET
ejpam-5819	21	14	variable	variable	ADJ
ejpam-5819	21	15	meeting	meeting	NOUN
ejpam-5819	21	16	a	a	DET
ejpam-5819	21	17	threshold	threshold	NOUN
ejpam-5819	21	18	,	,	PUNCT
ejpam-5819	21	19	or	or	CCONJ
ejpam-5819	21	20	conditional	conditional	ADJ
ejpam-5819	21	21	scenarios	scenario	NOUN
ejpam-5819	21	22	where	where	SCONJ
ejpam-5819	21	23	one	one	NUM
ejpam-5819	21	24	variable	variable	NOUN
ejpam-5819	21	25	’s	’s	PART
ejpam-5819	21	26	behavior	behavior	NOUN
ejpam-5819	21	27	depends	depend	VERB
ejpam-5819	21	28	on	on	ADP
ejpam-5819	21	29	an	an	DET
ejpam-5819	21	30	other	other	ADJ
ejpam-5819	21	31	’s	’s	PART
ejpam-5819	21	32	magnitude	magnitude	NOUN
ejpam-5819	21	33	.	.	PUNCT
ejpam-5819	22	1	the	the	DET
ejpam-5819	22	2	mathematical	mathematical	ADJ
ejpam-5819	22	3	exploration	exploration	NOUN
ejpam-5819	22	4	of	of	ADP
ejpam-5819	22	5	new	new	ADJ
ejpam-5819	22	6	families	family	NOUN
ejpam-5819	22	7	of	of	ADP
ejpam-5819	22	8	bivariate	bivariate	ADJ
ejpam-5819	22	9	distributions	distribution	NOUN
ejpam-5819	22	10	is	be	AUX
ejpam-5819	22	11	vital	vital	ADJ
ejpam-5819	22	12	for	for	ADP
ejpam-5819	22	13	enhancing	enhance	VERB
ejpam-5819	22	14	their	their	PRON
ejpam-5819	22	15	applicability	applicability	NOUN
ejpam-5819	22	16	to	to	ADP
ejpam-5819	22	17	real	real	ADJ
ejpam-5819	22	18	-	-	PUNCT
ejpam-5819	22	19	world	world	NOUN
ejpam-5819	22	20	problems	problem	NOUN
ejpam-5819	22	21	.	.	PUNCT
ejpam-5819	23	1	among	among	ADP
ejpam-5819	23	2	the	the	DET
ejpam-5819	23	3	versatile	versatile	ADJ
ejpam-5819	23	4	techniques	technique	NOUN
ejpam-5819	23	5	in	in	ADP
ejpam-5819	23	6	distribution	distribution	NOUN
ejpam-5819	23	7	theory	theory	NOUN
ejpam-5819	23	8	,	,	PUNCT
ejpam-5819	23	9	the	the	DET
ejpam-5819	23	10	transmutation	transmutation	NOUN
ejpam-5819	23	11	method	method	NOUN
ejpam-5819	23	12	introduced	introduce	VERB
ejpam-5819	23	13	by	by	ADP
ejpam-5819	23	14	[	[	X
ejpam-5819	23	15	2	2	NUM
ejpam-5819	23	16	]	]	PUNCT
ejpam-5819	23	17	stands	stand	VERB
ejpam-5819	23	18	out	out	ADP
ejpam-5819	23	19	.	.	PUNCT
ejpam-5819	24	1	this	this	DET
ejpam-5819	24	2	technique	technique	NOUN
ejpam-5819	24	3	employs	employ	VERB
ejpam-5819	24	4	a	a	DET
ejpam-5819	24	5	functional	functional	ADJ
ejpam-5819	24	6	composition	composition	NOUN
ejpam-5819	24	7	of	of	ADP
ejpam-5819	24	8	a	a	DET
ejpam-5819	24	9	cumulative	cumulative	ADJ
ejpam-5819	24	10	density	density	NOUN
ejpam-5819	24	11	function	function	NOUN
ejpam-5819	24	12	(	(	PUNCT
ejpam-5819	24	13	cdf	cdf	PROPN
ejpam-5819	24	14	)	)	PUNCT
ejpam-5819	24	15	and	and	CCONJ
ejpam-5819	24	16	an	an	DET
ejpam-5819	24	17	inverse	inverse	NOUN
ejpam-5819	24	18	cdf	cdf	PROPN
ejpam-5819	24	19	(	(	PUNCT
ejpam-5819	24	20	quantile	quantile	ADJ
ejpam-5819	24	21	function	function	NOUN
ejpam-5819	24	22	)	)	PUNCT
ejpam-5819	24	23	,	,	PUNCT
ejpam-5819	24	24	leading	lead	VERB
ejpam-5819	24	25	to	to	ADP
ejpam-5819	24	26	new	new	ADJ
ejpam-5819	24	27	distributions	distribution	NOUN
ejpam-5819	24	28	defined	define	VERB
ejpam-5819	24	29	by	by	ADP
ejpam-5819	24	30	the	the	DET
ejpam-5819	24	31	formula	formula	NOUN
ejpam-5819	24	32	:	:	PUNCT
ejpam-5819	24	33	f	f	PROPN
ejpam-5819	24	34	(	(	PUNCT
ejpam-5819	24	35	x	x	X
ejpam-5819	24	36	)	)	PUNCT
ejpam-5819	24	37	=	=	SYM
ejpam-5819	24	38	(	(	PUNCT
ejpam-5819	24	39	1	1	NUM
ejpam-5819	24	40	+	+	CCONJ
ejpam-5819	24	41	λ1)g(x)−	λ1)g(x)−	PROPN
ejpam-5819	24	42	λ1	λ1	PROPN
ejpam-5819	24	43	g	g	PROPN
ejpam-5819	24	44	2(x	2(x	NUM
ejpam-5819	24	45	)	)	PUNCT
ejpam-5819	24	46	;	;	PUNCT
ejpam-5819	25	1	where	where	SCONJ
ejpam-5819	25	2	λ1	λ1	PROPN
ejpam-5819	25	3	∈	∈	PROPN
ejpam-5819	25	4	[	[	X
ejpam-5819	25	5	−1	−1	NOUN
ejpam-5819	25	6	,	,	PUNCT
ejpam-5819	25	7	1	1	NUM
ejpam-5819	25	8	]	]	PUNCT
ejpam-5819	25	9	,	,	PUNCT
ejpam-5819	25	10	x	x	PUNCT
ejpam-5819	25	11	∈	∈	NOUN
ejpam-5819	25	12	r	r	NOUN
ejpam-5819	25	13	and	and	CCONJ
ejpam-5819	25	14	g(x	g(x	NOUN
ejpam-5819	25	15	)	)	PUNCT
ejpam-5819	25	16	is	be	AUX
ejpam-5819	25	17	the	the	DET
ejpam-5819	25	18	baseline	baseline	ADJ
ejpam-5819	25	19	distribution	distribution	NOUN
ejpam-5819	25	20	’s	’s	PART
ejpam-5819	25	21	cdf	cdf	PROPN
ejpam-5819	25	22	.	.	PUNCT
ejpam-5819	26	1	this	this	DET
ejpam-5819	26	2	approach	approach	NOUN
ejpam-5819	26	3	has	have	AUX
ejpam-5819	26	4	resulted	result	VERB
ejpam-5819	26	5	in	in	ADP
ejpam-5819	26	6	numerous	numerous	ADJ
ejpam-5819	26	7	novel	novel	ADJ
ejpam-5819	26	8	distributions	distribution	NOUN
ejpam-5819	26	9	,	,	PUNCT
ejpam-5819	26	10	such	such	ADJ
ejpam-5819	26	11	as	as	ADP
ejpam-5819	26	12	the	the	DET
ejpam-5819	26	13	transmuted	transmuted	ADJ
ejpam-5819	26	14	weibull	weibull	NOUN
ejpam-5819	26	15	distribution	distribution	NOUN
ejpam-5819	26	16	by	by	ADP
ejpam-5819	26	17	[	[	X
ejpam-5819	26	18	3	3	NUM
ejpam-5819	26	19	]	]	PUNCT
ejpam-5819	26	20	,	,	PUNCT
ejpam-5819	26	21	the	the	DET
ejpam-5819	26	22	transmuted	transmuted	ADJ
ejpam-5819	26	23	pareto	pareto	ADJ
ejpam-5819	26	24	distribution	distribution	NOUN
ejpam-5819	26	25	by	by	ADP
ejpam-5819	26	26	[	[	X
ejpam-5819	26	27	4	4	NUM
ejpam-5819	26	28	]	]	PUNCT
ejpam-5819	26	29	,	,	PUNCT
ejpam-5819	26	30	and	and	CCONJ
ejpam-5819	26	31	others	other	NOUN
ejpam-5819	26	32	.	.	PUNCT
ejpam-5819	27	1	further	further	ADJ
ejpam-5819	27	2	advancements	advancement	NOUN
ejpam-5819	27	3	include	include	VERB
ejpam-5819	27	4	the	the	DET
ejpam-5819	27	5	cubic	cubic	ADJ
ejpam-5819	27	6	transmutation	transmutation	NOUN
ejpam-5819	27	7	method	method	NOUN
ejpam-5819	27	8	.	.	PUNCT
ejpam-5819	28	1	[	[	X
ejpam-5819	28	2	5	5	NUM
ejpam-5819	28	3	]	]	PUNCT
ejpam-5819	28	4	studied	study	VERB
ejpam-5819	28	5	the	the	DET
ejpam-5819	28	6	cubic	cubic	ADJ
ejpam-5819	28	7	transmuted	transmute	VERB
ejpam-5819	28	8	weibull	weibull	NOUN
ejpam-5819	28	9	distribution	distribution	NOUN
ejpam-5819	28	10	and	and	CCONJ
ejpam-5819	28	11	its	its	PRON
ejpam-5819	28	12	properties	property	NOUN
ejpam-5819	28	13	,	,	PUNCT
ejpam-5819	28	14	while	while	SCONJ
ejpam-5819	28	15	[	[	X
ejpam-5819	28	16	6	6	NUM
ejpam-5819	28	17	]	]	PUNCT
ejpam-5819	28	18	obtained	obtain	VERB
ejpam-5819	28	19	the	the	DET
ejpam-5819	28	20	cdf	cdf	PROPN
ejpam-5819	28	21	of	of	ADP
ejpam-5819	28	22	cubic	cubic	ADJ
ejpam-5819	28	23	transmuted	transmuted	ADJ
ejpam-5819	28	24	family	family	NOUN
ejpam-5819	28	25	of	of	ADP
ejpam-5819	28	26	distrubution	distrubution	NOUN
ejpam-5819	28	27	as	as	ADP
ejpam-5819	28	28	:	:	PUNCT
ejpam-5819	28	29	f	f	PROPN
ejpam-5819	28	30	(	(	PUNCT
ejpam-5819	28	31	x	x	X
ejpam-5819	28	32	)	)	PUNCT
ejpam-5819	28	33	=	=	SYM
ejpam-5819	28	34	(	(	PUNCT
ejpam-5819	28	35	1	1	NUM
ejpam-5819	28	36	+	+	CCONJ
ejpam-5819	28	37	λ1)g(x	λ1)g(x	NUM
ejpam-5819	28	38	)	)	PUNCT
ejpam-5819	28	39	+	+	CCONJ
ejpam-5819	28	40	(	(	PUNCT
ejpam-5819	28	41	λ2	λ2	NOUN
ejpam-5819	28	42	−	−	PROPN
ejpam-5819	28	43	λ1)g	λ1)g	NOUN
ejpam-5819	28	44	2(x)−	2(x)−	NUM
ejpam-5819	28	45	λ2	λ2	NOUN
ejpam-5819	28	46	g	g	PROPN
ejpam-5819	28	47	3(x	3(x	NUM
ejpam-5819	28	48	)	)	PUNCT
ejpam-5819	28	49	;	;	PUNCT
ejpam-5819	28	50	where	where	SCONJ
ejpam-5819	28	51	λ1	λ1	ADJ
ejpam-5819	28	52	,	,	PUNCT
ejpam-5819	28	53	λ2	λ2	PROPN
ejpam-5819	28	54	∈	∈	PROPN
ejpam-5819	29	1	[	[	X
ejpam-5819	29	2	−1	−1	NOUN
ejpam-5819	29	3	,	,	PUNCT
ejpam-5819	29	4	1	1	NUM
ejpam-5819	29	5	]	]	PUNCT
ejpam-5819	29	6	,	,	PUNCT
ejpam-5819	29	7	−2	−2	PROPN
ejpam-5819	29	8	⩽	⩽	PROPN
ejpam-5819	29	9	λ1	λ1	PROPN
ejpam-5819	29	10	+	+	CCONJ
ejpam-5819	29	11	λ1	λ1	ADJ
ejpam-5819	29	12	⩽	⩽	NOUN
ejpam-5819	29	13	1	1	NUM
ejpam-5819	29	14	.	.	PUNCT
ejpam-5819	30	1	[	[	X
ejpam-5819	30	2	7	7	X
ejpam-5819	30	3	]	]	PUNCT
ejpam-5819	30	4	and	and	CCONJ
ejpam-5819	30	5	[	[	X
ejpam-5819	30	6	8	8	NUM
ejpam-5819	30	7	]	]	PUNCT
ejpam-5819	30	8	expanded	expand	VERB
ejpam-5819	30	9	on	on	ADP
ejpam-5819	30	10	this	this	DET
ejpam-5819	30	11	work	work	NOUN
ejpam-5819	30	12	by	by	ADP
ejpam-5819	30	13	exploring	explore	VERB
ejpam-5819	30	14	parameter	parameter	NOUN
ejpam-5819	30	15	estimation	estimation	NOUN
ejpam-5819	30	16	and	and	CCONJ
ejpam-5819	30	17	inference	inference	NOUN
ejpam-5819	30	18	procedures	procedure	NOUN
ejpam-5819	30	19	.	.	PUNCT
ejpam-5819	31	1	notably	notably	ADV
ejpam-5819	31	2	,	,	PUNCT
ejpam-5819	31	3	[	[	X
ejpam-5819	31	4	9	9	NUM
ejpam-5819	31	5	]	]	PUNCT
ejpam-5819	31	6	introduced	introduce	VERB
ejpam-5819	31	7	the	the	DET
ejpam-5819	31	8	cubic	cubic	ADJ
ejpam-5819	31	9	transmuted	transmute	VERB
ejpam-5819	31	10	rayleigh	rayleigh	NOUN
ejpam-5819	31	11	distribution	distribution	NOUN
ejpam-5819	31	12	with	with	ADP
ejpam-5819	31	13	the	the	DET
ejpam-5819	31	14	following	follow	VERB
ejpam-5819	31	15	cdf	cdf	NOUN
ejpam-5819	31	16	:	:	PUNCT
ejpam-5819	31	17	f	f	PROPN
ejpam-5819	31	18	(	(	PUNCT
ejpam-5819	31	19	x	x	PROPN
ejpam-5819	31	20	,	,	PUNCT
ejpam-5819	31	21	σ	σ	PROPN
ejpam-5819	31	22	,	,	PUNCT
ejpam-5819	31	23	λ	λ	NOUN
ejpam-5819	31	24	)	)	PUNCT
ejpam-5819	31	25	=	=	SYM
ejpam-5819	31	26	1−	1−	NUM
ejpam-5819	31	27	e−	e−	NUM
ejpam-5819	31	28	3x2	3x2	NUM
ejpam-5819	31	29	2σ2	2σ2	NUM
ejpam-5819	32	1	[	[	X
ejpam-5819	32	2	(	(	PUNCT
ejpam-5819	32	3	1−	1−	NUM
ejpam-5819	32	4	λ)e−	λ)e−	PROPN
ejpam-5819	32	5	x2	x2	PROPN
ejpam-5819	32	6	σ2	σ2	PROPN
ejpam-5819	32	7	+	+	CCONJ
ejpam-5819	32	8	3λe−	3λe−	NUM
ejpam-5819	32	9	x2	x2	NOUN
ejpam-5819	32	10	2σ2	2σ2	NUM
ejpam-5819	32	11	−	−	PROPN
ejpam-5819	32	12	2λ	2λ	X
ejpam-5819	32	13	]	]	X
ejpam-5819	32	14	,	,	PUNCT
ejpam-5819	32	15	where	where	SCONJ
ejpam-5819	32	16	σ	σ	PROPN
ejpam-5819	32	17	∈	∈	PROPN
ejpam-5819	32	18	r+	r+	NOUN
ejpam-5819	32	19	is	be	AUX
ejpam-5819	32	20	the	the	DET
ejpam-5819	32	21	scale	scale	NOUN
ejpam-5819	32	22	parameter	parameter	NOUN
ejpam-5819	32	23	and	and	CCONJ
ejpam-5819	32	24	λ	λ	X
ejpam-5819	32	25	∈	∈	PROPN
ejpam-5819	33	1	[	[	X
ejpam-5819	33	2	−1	−1	NOUN
ejpam-5819	33	3	,	,	PUNCT
ejpam-5819	33	4	1	1	NUM
ejpam-5819	33	5	]	]	PUNCT
ejpam-5819	33	6	is	be	AUX
ejpam-5819	33	7	the	the	DET
ejpam-5819	33	8	shape	shape	NOUN
ejpam-5819	33	9	parameter	parameter	NOUN
ejpam-5819	33	10	.	.	PUNCT
ejpam-5819	34	1	bivariate	bivariate	ADJ
ejpam-5819	34	2	distributions	distribution	NOUN
ejpam-5819	34	3	continue	continue	VERB
ejpam-5819	34	4	to	to	PART
ejpam-5819	34	5	evolve	evolve	VERB
ejpam-5819	34	6	with	with	ADP
ejpam-5819	34	7	innovations	innovation	NOUN
ejpam-5819	34	8	that	that	PRON
ejpam-5819	34	9	integrate	integrate	VERB
ejpam-5819	34	10	greater	great	ADJ
ejpam-5819	34	11	flexibility	flexibility	NOUN
ejpam-5819	34	12	into	into	ADP
ejpam-5819	34	13	modeling	model	VERB
ejpam-5819	34	14	joint	joint	ADJ
ejpam-5819	34	15	phenomena	phenomenon	NOUN
ejpam-5819	34	16	.	.	PUNCT
ejpam-5819	35	1	[	[	X
ejpam-5819	35	2	10	10	NUM
ejpam-5819	35	3	]	]	PUNCT
ejpam-5819	35	4	introduced	introduce	VERB
ejpam-5819	35	5	generalized	generalized	ADJ
ejpam-5819	35	6	joint	joint	ADJ
ejpam-5819	35	7	distributions	distribution	NOUN
ejpam-5819	35	8	,	,	PUNCT
ejpam-5819	35	9	while	while	SCONJ
ejpam-5819	35	10	[	[	X
ejpam-5819	35	11	11	11	NUM
ejpam-5819	35	12	]	]	PUNCT
ejpam-5819	35	13	proposed	propose	VERB
ejpam-5819	35	14	the	the	DET
ejpam-5819	35	15	bivariate	bivariate	ADJ
ejpam-5819	35	16	gumbel	gumbel	NOUN
ejpam-5819	35	17	-	-	PUNCT
ejpam-5819	35	18	g	g	NOUN
ejpam-5819	35	19	family	family	NOUN
ejpam-5819	35	20	.	.	PUNCT
ejpam-5819	36	1	these	these	DET
ejpam-5819	36	2	concepts	concept	NOUN
ejpam-5819	36	3	were	be	AUX
ejpam-5819	36	4	extended	extend	VERB
ejpam-5819	36	5	by	by	ADP
ejpam-5819	36	6	incorporating	incorporate	VERB
ejpam-5819	36	7	transmuted	transmuted	ADJ
ejpam-5819	36	8	families	family	NOUN
ejpam-5819	36	9	,	,	PUNCT
ejpam-5819	36	10	as	as	SCONJ
ejpam-5819	36	11	demonstrated	demonstrate	VERB
ejpam-5819	36	12	by	by	ADP
ejpam-5819	36	13	[	[	X
ejpam-5819	36	14	12	12	NUM
ejpam-5819	36	15	]	]	PUNCT
ejpam-5819	36	16	.	.	PUNCT
ejpam-5819	37	1	moreover	moreover	ADV
ejpam-5819	37	2	,	,	PUNCT
ejpam-5819	37	3	[	[	X
ejpam-5819	37	4	13	13	NUM
ejpam-5819	37	5	]	]	PUNCT
ejpam-5819	37	6	developed	develop	VERB
ejpam-5819	37	7	a	a	DET
ejpam-5819	37	8	bivariate	bivariate	ADJ
ejpam-5819	37	9	transmuted	transmuted	ADJ
ejpam-5819	37	10	family	family	NOUN
ejpam-5819	37	11	of	of	ADP
ejpam-5819	37	12	distributions	distribution	NOUN
ejpam-5819	37	13	,	,	PUNCT
ejpam-5819	37	14	which	which	PRON
ejpam-5819	37	15	provided	provide	VERB
ejpam-5819	37	16	enhanced	enhanced	ADJ
ejpam-5819	37	17	tools	tool	NOUN
ejpam-5819	37	18	for	for	ADP
ejpam-5819	37	19	analyzing	analyze	VERB
ejpam-5819	37	20	interdependent	interdependent	ADJ
ejpam-5819	37	21	phenomena	phenomenon	NOUN
ejpam-5819	37	22	in	in	ADP
ejpam-5819	37	23	diverse	diverse	ADJ
ejpam-5819	37	24	fields	field	NOUN
ejpam-5819	37	25	.	.	PUNCT
ejpam-5819	38	1	the	the	DET
ejpam-5819	38	2	article	article	NOUN
ejpam-5819	38	3	is	be	AUX
ejpam-5819	38	4	organized	organize	VERB
ejpam-5819	38	5	as	as	SCONJ
ejpam-5819	38	6	follows	follow	VERB
ejpam-5819	38	7	:	:	PUNCT
ejpam-5819	38	8	section	section	NOUN
ejpam-5819	38	9	2	2	NUM
ejpam-5819	38	10	introduced	introduce	VERB
ejpam-5819	38	11	the	the	DET
ejpam-5819	38	12	bivariate	bivariate	ADJ
ejpam-5819	38	13	transmuted	transmuted	ADJ
ejpam-5819	38	14	family	family	NOUN
ejpam-5819	38	15	of	of	ADP
ejpam-5819	38	16	distributions	distribution	NOUN
ejpam-5819	38	17	;	;	PUNCT
ejpam-5819	38	18	section	section	NOUN
ejpam-5819	38	19	3	3	NUM
ejpam-5819	38	20	discussed	discuss	VERB
ejpam-5819	38	21	the	the	DET
ejpam-5819	38	22	genesis	genesis	NOUN
ejpam-5819	38	23	of	of	ADP
ejpam-5819	38	24	the	the	DET
ejpam-5819	38	25	bct	bct	PROPN
ejpam-5819	38	26	family	family	NOUN
ejpam-5819	38	27	,	,	PUNCT
ejpam-5819	38	28	presenting	present	VERB
ejpam-5819	38	29	its	its	PRON
ejpam-5819	38	30	probability	probability	NOUN
ejpam-5819	38	31	density	density	NOUN
ejpam-5819	38	32	function	function	NOUN
ejpam-5819	38	33	(	(	PUNCT
ejpam-5819	38	34	pdf	pdf	NOUN
ejpam-5819	38	35	)	)	PUNCT
ejpam-5819	38	36	,	,	PUNCT
ejpam-5819	38	37	cumulative	cumulative	ADJ
ejpam-5819	38	38	distribution	distribution	NOUN
ejpam-5819	38	39	function	function	NOUN
ejpam-5819	38	40	(	(	PUNCT
ejpam-5819	38	41	cdf	cdf	PROPN
ejpam-5819	38	42	)	)	PUNCT
ejpam-5819	38	43	,	,	PUNCT
ejpam-5819	38	44	marginal	marginal	ADJ
ejpam-5819	38	45	distributions	distribution	NOUN
ejpam-5819	38	46	and	and	CCONJ
ejpam-5819	38	47	conditional	conditional	ADJ
ejpam-5819	38	48	distributions	distribution	NOUN
ejpam-5819	38	49	;	;	PUNCT
ejpam-5819	38	50	section	section	NOUN
ejpam-5819	38	51	4	4	NUM
ejpam-5819	38	52	examined	examine	VERB
ejpam-5819	38	53	key	key	ADJ
ejpam-5819	38	54	statistical	statistical	ADJ
ejpam-5819	38	55	properties	property	NOUN
ejpam-5819	38	56	of	of	ADP
ejpam-5819	38	57	the	the	DET
ejpam-5819	38	58	bct	bct	PROPN
ejpam-5819	38	59	family	family	NOUN
ejpam-5819	38	60	;	;	PUNCT
ejpam-5819	38	61	section	section	NOUN
ejpam-5819	38	62	5	5	NUM
ejpam-5819	38	63	explored	explore	VERB
ejpam-5819	38	64	the	the	DET
ejpam-5819	38	65	estimation	estimation	NOUN
ejpam-5819	38	66	of	of	ADP
ejpam-5819	38	67	the	the	DET
ejpam-5819	38	68	family	family	NOUN
ejpam-5819	38	69	parameters	parameter	NOUN
ejpam-5819	38	70	;	;	PUNCT
ejpam-5819	38	71	section	section	NOUN
ejpam-5819	38	72	6	6	NUM
ejpam-5819	38	73	proposed	propose	VERB
ejpam-5819	38	74	the	the	DET
ejpam-5819	38	75	bctb	bctb	NOUN
ejpam-5819	38	76	distribution	distribution	NOUN
ejpam-5819	38	77	;	;	PUNCT
ejpam-5819	38	78	section	section	NOUN
ejpam-5819	38	79	7	7	NUM
ejpam-5819	38	80	studied	study	VERB
ejpam-5819	38	81	the	the	DET
ejpam-5819	38	82	statistical	statistical	ADJ
ejpam-5819	38	83	properties	property	NOUN
ejpam-5819	38	84	of	of	ADP
ejpam-5819	38	85	the	the	DET
ejpam-5819	38	86	bctb	bctb	NOUN
ejpam-5819	38	87	a.	a.	NOUN
ejpam-5819	38	88	a.	a.	NOUN
ejpam-5819	38	89	alsalafi	alsalafi	PROPN
ejpam-5819	38	90	,	,	PUNCT
ejpam-5819	38	91	s.	s.	PROPN
ejpam-5819	38	92	h.	h.	PROPN
ejpam-5819	38	93	shahbaz	shahbaz	PROPN
ejpam-5819	38	94	,	,	PUNCT
ejpam-5819	38	95	l.	l.	PROPN
ejpam-5819	38	96	i.	i.	PROPN
ejpam-5819	38	97	al	al	PROPN
ejpam-5819	38	98	-	-	PUNCT
ejpam-5819	38	99	turk	turk	PROPN
ejpam-5819	38	100	/	/	SYM
ejpam-5819	38	101	eur	eur	PROPN
ejpam-5819	38	102	.	.	PUNCT
ejpam-5819	39	1	j.	j.	PROPN
ejpam-5819	39	2	pure	pure	PROPN
ejpam-5819	39	3	appl	appl	PROPN
ejpam-5819	39	4	.	.	PROPN
ejpam-5819	39	5	math	math	PROPN
ejpam-5819	39	6	,	,	PUNCT
ejpam-5819	39	7	18	18	NUM
ejpam-5819	39	8	(	(	PUNCT
ejpam-5819	39	9	2	2	NUM
ejpam-5819	39	10	)	)	PUNCT
ejpam-5819	39	11	(	(	PUNCT
ejpam-5819	39	12	2025	2025	NUM
ejpam-5819	39	13	)	)	PUNCT
ejpam-5819	39	14	,	,	PUNCT
ejpam-5819	39	15	5819	5819	NUM
ejpam-5819	39	16	3	3	NUM
ejpam-5819	39	17	of	of	ADP
ejpam-5819	39	18	28	28	NUM
ejpam-5819	39	19	distribution	distribution	NOUN
ejpam-5819	39	20	;	;	PUNCT
ejpam-5819	39	21	section	section	NOUN
ejpam-5819	39	22	8	8	NUM
ejpam-5819	39	23	details	detail	NOUN
ejpam-5819	39	24	the	the	DET
ejpam-5819	39	25	parameter	parameter	NOUN
ejpam-5819	39	26	estimation	estimation	NOUN
ejpam-5819	39	27	for	for	ADP
ejpam-5819	39	28	the	the	DET
ejpam-5819	39	29	proposed	propose	VERB
ejpam-5819	39	30	bctb	bctb	NOUN
ejpam-5819	39	31	distribution	distribution	NOUN
ejpam-5819	39	32	;	;	PUNCT
ejpam-5819	39	33	section	section	NOUN
ejpam-5819	39	34	9	9	NUM
ejpam-5819	39	35	provided	provide	VERB
ejpam-5819	39	36	simulations	simulation	NOUN
ejpam-5819	39	37	and	and	CCONJ
ejpam-5819	39	38	applies	apply	VERB
ejpam-5819	39	39	the	the	DET
ejpam-5819	39	40	bctb	bctb	NOUN
ejpam-5819	39	41	distribution	distribution	NOUN
ejpam-5819	39	42	to	to	ADP
ejpam-5819	39	43	a	a	DET
ejpam-5819	39	44	real	real	ADJ
ejpam-5819	39	45	dataset	dataset	NOUN
ejpam-5819	39	46	;	;	PUNCT
ejpam-5819	39	47	and	and	CCONJ
ejpam-5819	39	48	finally	finally	ADV
ejpam-5819	39	49	,	,	PUNCT
ejpam-5819	39	50	section	section	NOUN
ejpam-5819	39	51	10	10	NUM
ejpam-5819	39	52	concluded	conclude	VERB
ejpam-5819	39	53	the	the	DET
ejpam-5819	39	54	study	study	NOUN
ejpam-5819	39	55	with	with	ADP
ejpam-5819	39	56	key	key	ADJ
ejpam-5819	39	57	findings	finding	NOUN
ejpam-5819	39	58	and	and	CCONJ
ejpam-5819	39	59	implications	implication	NOUN
ejpam-5819	39	60	.	.	PUNCT
ejpam-5819	40	1	2	2	X
ejpam-5819	40	2	.	.	X
ejpam-5819	40	3	the	the	DET
ejpam-5819	40	4	bivariate	bivariate	ADJ
ejpam-5819	40	5	transmuted	transmuted	ADJ
ejpam-5819	40	6	family	family	NOUN
ejpam-5819	40	7	of	of	ADP
ejpam-5819	40	8	distributions	distribution	NOUN
ejpam-5819	40	9	this	this	DET
ejpam-5819	40	10	research	research	NOUN
ejpam-5819	40	11	aims	aim	VERB
ejpam-5819	40	12	to	to	PART
ejpam-5819	40	13	expand	expand	VERB
ejpam-5819	40	14	the	the	DET
ejpam-5819	40	15	family	family	NOUN
ejpam-5819	40	16	of	of	ADP
ejpam-5819	40	17	bivariate	bivariate	ADJ
ejpam-5819	40	18	transformed	transform	VERB
ejpam-5819	40	19	distributions	distribution	NOUN
ejpam-5819	40	20	into	into	ADP
ejpam-5819	40	21	the	the	DET
ejpam-5819	40	22	bivariate	bivariate	ADJ
ejpam-5819	40	23	cubic	cubic	ADJ
ejpam-5819	40	24	state	state	NOUN
ejpam-5819	40	25	.	.	PUNCT
ejpam-5819	41	1	therefore	therefore	ADV
ejpam-5819	41	2	,	,	PUNCT
ejpam-5819	41	3	it	it	PRON
ejpam-5819	41	4	is	be	AUX
ejpam-5819	41	5	appropriate	appropriate	ADJ
ejpam-5819	41	6	to	to	PART
ejpam-5819	41	7	discuss	discuss	VERB
ejpam-5819	41	8	the	the	DET
ejpam-5819	41	9	family	family	NOUN
ejpam-5819	41	10	of	of	ADP
ejpam-5819	41	11	bivariate	bivariate	ADJ
ejpam-5819	41	12	t	t	PROPN
ejpam-5819	41	13	-	-	PUNCT
ejpam-5819	41	14	x	x	NOUN
ejpam-5819	41	15	distributions	distribution	NOUN
ejpam-5819	41	16	.	.	PUNCT
ejpam-5819	42	1	[	[	X
ejpam-5819	42	2	10	10	NUM
ejpam-5819	42	3	]	]	PUNCT
ejpam-5819	42	4	introduced	introduce	VERB
ejpam-5819	42	5	a	a	DET
ejpam-5819	42	6	new	new	ADJ
ejpam-5819	42	7	technique	technique	NOUN
ejpam-5819	42	8	to	to	PART
ejpam-5819	42	9	derive	derive	VERB
ejpam-5819	42	10	families	family	NOUN
ejpam-5819	42	11	of	of	ADP
ejpam-5819	42	12	continuous	continuous	ADJ
ejpam-5819	42	13	distributions	distribution	NOUN
ejpam-5819	42	14	using	use	VERB
ejpam-5819	42	15	two	two	NUM
ejpam-5819	42	16	different	different	ADJ
ejpam-5819	42	17	distributions	distribution	NOUN
ejpam-5819	42	18	.	.	PUNCT
ejpam-5819	43	1	a	a	DET
ejpam-5819	43	2	random	random	ADJ
ejpam-5819	43	3	variable	variable	NOUN
ejpam-5819	43	4	x	x	PRON
ejpam-5819	43	5	called	call	VERB
ejpam-5819	43	6	a	a	DET
ejpam-5819	43	7	transformer	transformer	NOUN
ejpam-5819	43	8	is	be	AUX
ejpam-5819	43	9	used	use	VERB
ejpam-5819	43	10	to	to	PART
ejpam-5819	43	11	transform	transform	VERB
ejpam-5819	43	12	another	another	DET
ejpam-5819	43	13	random	random	ADJ
ejpam-5819	43	14	variable	variable	NOUN
ejpam-5819	43	15	,	,	PUNCT
ejpam-5819	43	16	t	t	PROPN
ejpam-5819	43	17	,	,	PUNCT
ejpam-5819	43	18	this	this	DET
ejpam-5819	43	19	family	family	NOUN
ejpam-5819	43	20	of	of	ADP
ejpam-5819	43	21	distributions	distribution	NOUN
ejpam-5819	43	22	is	be	AUX
ejpam-5819	43	23	called	call	VERB
ejpam-5819	43	24	the	the	DET
ejpam-5819	43	25	t	t	NOUN
ejpam-5819	43	26	−	−	NOUN
ejpam-5819	43	27	x	x	SYM
ejpam-5819	43	28	family	family	NOUN
ejpam-5819	43	29	of	of	ADP
ejpam-5819	43	30	distributions	distribution	NOUN
ejpam-5819	43	31	.	.	PUNCT
ejpam-5819	44	1	the	the	DET
ejpam-5819	44	2	cdf	cdf	PROPN
ejpam-5819	44	3	of	of	ADP
ejpam-5819	44	4	this	this	DET
ejpam-5819	44	5	family	family	NOUN
ejpam-5819	44	6	is	be	AUX
ejpam-5819	44	7	:	:	PUNCT
ejpam-5819	44	8	ft−x(x	ft−x(x	ADJ
ejpam-5819	44	9	)	)	PUNCT
ejpam-5819	44	10	=	=	SYM
ejpam-5819	44	11	∫	∫	PROPN
ejpam-5819	44	12	w[g(x	w[g(x	X
ejpam-5819	44	13	)	)	PUNCT
ejpam-5819	44	14	]	]	PUNCT
ejpam-5819	45	1	a	a	PRON
ejpam-5819	45	2	r(u)du	r(u)du	ADJ
ejpam-5819	45	3	(	(	PUNCT
ejpam-5819	45	4	1	1	NUM
ejpam-5819	45	5	)	)	PUNCT
ejpam-5819	45	6	where	where	SCONJ
ejpam-5819	45	7	g(x	g(x	NOUN
ejpam-5819	45	8	)	)	PUNCT
ejpam-5819	45	9	is	be	AUX
ejpam-5819	45	10	cdf	cdf	PROPN
ejpam-5819	45	11	of	of	ADP
ejpam-5819	45	12	baseline	baseline	ADJ
ejpam-5819	45	13	distribution	distribution	NOUN
ejpam-5819	45	14	and	and	CCONJ
ejpam-5819	45	15	w	w	PROPN
ejpam-5819	45	16	(	(	PUNCT
ejpam-5819	45	17	g(x	g(x	NOUN
ejpam-5819	45	18	)	)	PUNCT
ejpam-5819	45	19	)	)	PUNCT
ejpam-5819	45	20	is	be	AUX
ejpam-5819	45	21	some	some	DET
ejpam-5819	45	22	function	function	NOUN
ejpam-5819	45	23	of	of	ADP
ejpam-5819	45	24	g(x	g(x	NOUN
ejpam-5819	45	25	)	)	PUNCT
ejpam-5819	45	26	such	such	ADJ
ejpam-5819	45	27	that	that	PRON
ejpam-5819	45	28	w	w	PROPN
ejpam-5819	46	1	[	[	X
ejpam-5819	46	2	g(x	g(x	NOUN
ejpam-5819	46	3	)	)	PUNCT
ejpam-5819	46	4	]	]	PUNCT
ejpam-5819	47	1	∈	∈	PROPN
ejpam-5819	48	1	[	[	X
ejpam-5819	48	2	a	a	X
ejpam-5819	48	3	,	,	PUNCT
ejpam-5819	48	4	b	b	X
ejpam-5819	48	5	]	]	X
ejpam-5819	48	6	w	w	PROPN
ejpam-5819	49	1	[	[	X
ejpam-5819	49	2	g(x	g(x	NOUN
ejpam-5819	49	3	)	)	PUNCT
ejpam-5819	49	4	]	]	PUNCT
ejpam-5819	49	5	is	be	AUX
ejpam-5819	49	6	differentiable	differentiable	ADJ
ejpam-5819	49	7	and	and	CCONJ
ejpam-5819	49	8	monotonically	monotonically	ADV
ejpam-5819	49	9	non	non	ADJ
ejpam-5819	49	10	-	-	ADJ
ejpam-5819	49	11	decreasing	decrease	VERB
ejpam-5819	49	12	w	w	NOUN
ejpam-5819	49	13	[	[	X
ejpam-5819	49	14	g(x	g(x	NOUN
ejpam-5819	49	15	)	)	PUNCT
ejpam-5819	49	16	]	]	PUNCT
ejpam-5819	50	1	→	→	PUNCT
ejpam-5819	50	2	a	a	DET
ejpam-5819	50	3	as	as	ADP
ejpam-5819	50	4	x	x	X
ejpam-5819	50	5	→	→	SYM
ejpam-5819	50	6	−∞	−∞	NOUN
ejpam-5819	50	7	,	,	PUNCT
ejpam-5819	50	8	w	w	PROPN
ejpam-5819	51	1	[	[	X
ejpam-5819	51	2	g(x	g(x	NOUN
ejpam-5819	51	3	)	)	PUNCT
ejpam-5819	51	4	]	]	PUNCT
ejpam-5819	52	1	→	→	PUNCT
ejpam-5819	52	2	b	b	X
ejpam-5819	52	3	as	as	ADP
ejpam-5819	52	4	x	x	X
ejpam-5819	52	5	→	→	SYM
ejpam-5819	52	6	+	+	ADJ
ejpam-5819	52	7	∞	∞	PROPN
ejpam-5819	52	8			PROPN
ejpam-5819	52	9	(	(	PUNCT
ejpam-5819	52	10	2	2	NUM
ejpam-5819	52	11	)	)	PUNCT
ejpam-5819	52	12	where	where	SCONJ
ejpam-5819	52	13	w	w	ADP
ejpam-5819	52	14	[	[	X
ejpam-5819	52	15	g(x	g(x	NOUN
ejpam-5819	52	16	)	)	PUNCT
ejpam-5819	52	17	]	]	PUNCT
ejpam-5819	52	18	satisfies	satisfy	VERB
ejpam-5819	52	19	the	the	DET
ejpam-5819	52	20	conditions	condition	NOUN
ejpam-5819	52	21	eq.(2	eq.(2	ADJ
ejpam-5819	52	22	)	)	PUNCT
ejpam-5819	52	23	.	.	PUNCT
ejpam-5819	53	1	the	the	DET
ejpam-5819	53	2	pdf	pdf	NOUN
ejpam-5819	53	3	corresponding	correspond	VERB
ejpam-5819	53	4	to	to	ADP
ejpam-5819	53	5	the	the	DET
ejpam-5819	53	6	eq.(1	eq.(1	ADJ
ejpam-5819	53	7	)	)	PUNCT
ejpam-5819	53	8	,	,	PUNCT
ejpam-5819	53	9	is	be	AUX
ejpam-5819	53	10	given	give	VERB
ejpam-5819	53	11	by	by	ADP
ejpam-5819	53	12	ft−x(x	ft−x(x	PROPN
ejpam-5819	53	13	)	)	PUNCT
ejpam-5819	53	14	=	=	PRON
ejpam-5819	54	1	{	{	PUNCT
ejpam-5819	54	2	d	d	X
ejpam-5819	54	3	dx	dx	PROPN
ejpam-5819	54	4	w	w	PROPN
ejpam-5819	55	1	[	[	X
ejpam-5819	55	2	g(x	g(x	NOUN
ejpam-5819	55	3	)	)	PUNCT
ejpam-5819	55	4	]	]	PUNCT
ejpam-5819	55	5	}	}	PUNCT
ejpam-5819	55	6	r{w	r{w	VERB
ejpam-5819	55	7	[	[	X
ejpam-5819	55	8	g(x	g(x	NOUN
ejpam-5819	55	9	)	)	PUNCT
ejpam-5819	55	10	]	]	PUNCT
ejpam-5819	55	11	}	}	PUNCT
ejpam-5819	55	12	the	the	DET
ejpam-5819	55	13	joint	joint	ADJ
ejpam-5819	55	14	cdf	cdf	PROPN
ejpam-5819	55	15	of	of	ADP
ejpam-5819	55	16	a	a	DET
ejpam-5819	55	17	simple	simple	ADJ
ejpam-5819	55	18	bivariate	bivariate	ADJ
ejpam-5819	55	19	t	t	PROPN
ejpam-5819	55	20	-	-	PUNCT
ejpam-5819	55	21	x	x	NOUN
ejpam-5819	55	22	family	family	NOUN
ejpam-5819	55	23	of	of	ADP
ejpam-5819	55	24	distributions	distribution	NOUN
ejpam-5819	55	25	is	be	AUX
ejpam-5819	55	26	given	give	VERB
ejpam-5819	55	27	by	by	ADP
ejpam-5819	55	28	[	[	X
ejpam-5819	55	29	14	14	NUM
ejpam-5819	55	30	]	]	PUNCT
ejpam-5819	55	31	as	as	ADP
ejpam-5819	55	32	:	:	PUNCT
ejpam-5819	55	33	fx	fx	PROPN
ejpam-5819	55	34	,	,	PUNCT
ejpam-5819	55	35	y	y	PROPN
ejpam-5819	55	36	(	(	PUNCT
ejpam-5819	55	37	x	x	PROPN
ejpam-5819	55	38	,	,	PUNCT
ejpam-5819	55	39	y	y	NOUN
ejpam-5819	55	40	)	)	PUNCT
ejpam-5819	55	41	=	=	SYM
ejpam-5819	56	1	∫	∫	PROPN
ejpam-5819	56	2	w1[g1(x	w1[g1(x	NUM
ejpam-5819	56	3	)	)	PUNCT
ejpam-5819	56	4	]	]	PUNCT
ejpam-5819	57	1	a1	a1	NOUN
ejpam-5819	57	2	∫	∫	PROPN
ejpam-5819	57	3	w2[g2(y	w2[g2(y	PROPN
ejpam-5819	57	4	)	)	PUNCT
ejpam-5819	57	5	]	]	PUNCT
ejpam-5819	57	6	a2	a2	PROPN
ejpam-5819	57	7	r	r	PROPN
ejpam-5819	57	8	(	(	PUNCT
ejpam-5819	57	9	u1	u1	NOUN
ejpam-5819	57	10	,	,	PUNCT
ejpam-5819	57	11	u2	u2	PROPN
ejpam-5819	57	12	)	)	PUNCT
ejpam-5819	57	13	du1	du1	VERB
ejpam-5819	57	14	du2	du2	PROPN
ejpam-5819	57	15	where	where	SCONJ
ejpam-5819	57	16	w1	w1	NOUN
ejpam-5819	57	17	[	[	X
ejpam-5819	57	18	g1(x	g1(x	NOUN
ejpam-5819	57	19	)	)	PUNCT
ejpam-5819	57	20	]	]	PUNCT
ejpam-5819	57	21	and	and	CCONJ
ejpam-5819	57	22	w2	w2	NOUN
ejpam-5819	57	23	[	[	X
ejpam-5819	57	24	g2(y	g2(y	PROPN
ejpam-5819	57	25	)	)	PUNCT
ejpam-5819	57	26	]	]	PUNCT
ejpam-5819	58	1	have	have	VERB
ejpam-5819	58	2	usual	usual	ADJ
ejpam-5819	58	3	properties	property	NOUN
ejpam-5819	58	4	and	and	CCONJ
ejpam-5819	58	5	r	r	NOUN
ejpam-5819	58	6	(	(	PUNCT
ejpam-5819	58	7	u1	u1	NOUN
ejpam-5819	58	8	,	,	PUNCT
ejpam-5819	58	9	u2	u2	PROPN
ejpam-5819	58	10	)	)	PUNCT
ejpam-5819	58	11	is	be	AUX
ejpam-5819	58	12	any	any	DET
ejpam-5819	58	13	bivariate	bivariate	ADJ
ejpam-5819	58	14	distribution	distribution	NOUN
ejpam-5819	58	15	with	with	ADP
ejpam-5819	58	16	suitable	suitable	ADJ
ejpam-5819	58	17	support	support	NOUN
ejpam-5819	58	18	for	for	ADP
ejpam-5819	58	19	random	random	ADJ
ejpam-5819	58	20	variable	variable	ADJ
ejpam-5819	58	21	u1	u1	NOUN
ejpam-5819	58	22	and	and	CCONJ
ejpam-5819	58	23	u2	u2	NOUN
ejpam-5819	58	24	.	.	PUNCT
ejpam-5819	59	1	if	if	SCONJ
ejpam-5819	59	2	(	(	PUNCT
ejpam-5819	59	3	u1	u1	NOUN
ejpam-5819	59	4	,	,	PUNCT
ejpam-5819	59	5	u2	u2	PROPN
ejpam-5819	59	6	)	)	PUNCT
ejpam-5819	59	7	is	be	AUX
ejpam-5819	59	8	a	a	DET
ejpam-5819	59	9	bivariate	bivariate	ADJ
ejpam-5819	59	10	distribution	distribution	NOUN
ejpam-5819	59	11	such	such	ADJ
ejpam-5819	59	12	that	that	SCONJ
ejpam-5819	59	13	the	the	DET
ejpam-5819	59	14	support	support	NOUN
ejpam-5819	59	15	of	of	ADP
ejpam-5819	59	16	u1	u1	NOUN
ejpam-5819	59	17	and	and	CCONJ
ejpam-5819	59	18	u2	u2	NOUN
ejpam-5819	59	19	is	be	AUX
ejpam-5819	59	20	[	[	X
ejpam-5819	59	21	0	0	NUM
ejpam-5819	59	22	,	,	PUNCT
ejpam-5819	59	23	1]×	1]×	NUM
ejpam-5819	60	1	[	[	X
ejpam-5819	60	2	0	0	NUM
ejpam-5819	60	3	,	,	PUNCT
ejpam-5819	60	4	1	1	NUM
ejpam-5819	60	5	]	]	PUNCT
ejpam-5819	60	6	then	then	ADV
ejpam-5819	60	7	a	a	DET
ejpam-5819	60	8	simpler	simple	ADJ
ejpam-5819	60	9	version	version	NOUN
ejpam-5819	60	10	of	of	ADP
ejpam-5819	60	11	bivariate	bivariate	ADJ
ejpam-5819	60	12	t−x	t−x	NOUN
ejpam-5819	60	13	family	family	NOUN
ejpam-5819	60	14	is	be	AUX
ejpam-5819	60	15	given	give	VERB
ejpam-5819	60	16	as	as	ADP
ejpam-5819	60	17	fx	fx	PROPN
ejpam-5819	60	18	,	,	PUNCT
ejpam-5819	60	19	y	y	PROPN
ejpam-5819	60	20	(	(	PUNCT
ejpam-5819	60	21	x	x	PROPN
ejpam-5819	60	22	,	,	PUNCT
ejpam-5819	60	23	y	y	NOUN
ejpam-5819	60	24	)	)	PUNCT
ejpam-5819	61	1	=	=	SYM
ejpam-5819	61	2	∫	∫	PROPN
ejpam-5819	62	1	g1(x	g1(x	NOUN
ejpam-5819	62	2	)	)	PUNCT
ejpam-5819	62	3	0	0	NUM
ejpam-5819	62	4	∫	∫	PROPN
ejpam-5819	63	1	g2(y	g2(y	NOUN
ejpam-5819	63	2	)	)	PUNCT
ejpam-5819	63	3	0	0	NUM
ejpam-5819	63	4	r	r	NOUN
ejpam-5819	63	5	(	(	PUNCT
ejpam-5819	63	6	u1	u1	NOUN
ejpam-5819	63	7	,	,	PUNCT
ejpam-5819	63	8	u2	u2	NOUN
ejpam-5819	63	9	)	)	PUNCT
ejpam-5819	63	10	du1	du1	PROPN
ejpam-5819	63	11	du2	du2	PROPN
ejpam-5819	63	12	.	.	PUNCT
ejpam-5819	64	1	(	(	PUNCT
ejpam-5819	64	2	3	3	X
ejpam-5819	64	3	)	)	PUNCT
ejpam-5819	65	1	[	[	X
ejpam-5819	65	2	13	13	NUM
ejpam-5819	65	3	]	]	PUNCT
ejpam-5819	65	4	proposed	propose	VERB
ejpam-5819	65	5	a	a	DET
ejpam-5819	65	6	new	new	ADJ
ejpam-5819	65	7	family	family	NOUN
ejpam-5819	65	8	of	of	ADP
ejpam-5819	65	9	bivariate	bivariate	ADJ
ejpam-5819	65	10	transmuted	transmuted	ADJ
ejpam-5819	65	11	distributions	distribution	NOUN
ejpam-5819	65	12	by	by	ADP
ejpam-5819	65	13	using	use	VERB
ejpam-5819	65	14	r(u1	r(u1	NOUN
ejpam-5819	65	15	,	,	PUNCT
ejpam-5819	65	16	u2	u2	NOUN
ejpam-5819	65	17	)	)	PUNCT
ejpam-5819	65	18	=	=	SYM
ejpam-5819	65	19	1	1	NUM
ejpam-5819	65	20	+	+	NUM
ejpam-5819	65	21	λ1(1−	λ1(1−	NOUN
ejpam-5819	65	22	2u1	2u1	NUM
ejpam-5819	65	23	)	)	PUNCT
ejpam-5819	66	1	+	+	CCONJ
ejpam-5819	66	2	λ2(1−	λ2(1−	NOUN
ejpam-5819	66	3	2u2	2u2	NUM
ejpam-5819	66	4	)	)	PUNCT
ejpam-5819	66	5	+	+	CCONJ
ejpam-5819	66	6	2λ3(1−	2λ3(1−	NUM
ejpam-5819	66	7	u1	u1	NOUN
ejpam-5819	66	8	−	−	PROPN
ejpam-5819	66	9	u2	u2	PROPN
ejpam-5819	66	10	)	)	PUNCT
ejpam-5819	66	11	;	;	PUNCT
ejpam-5819	66	12	0	0	NUM
ejpam-5819	66	13	⩽	⩽	ADJ
ejpam-5819	66	14	u1	u1	NOUN
ejpam-5819	66	15	,	,	PUNCT
ejpam-5819	66	16	u2	u2	PROPN
ejpam-5819	66	17	≤	≤	PROPN
ejpam-5819	66	18	1	1	NUM
ejpam-5819	66	19	,	,	PUNCT
ejpam-5819	66	20	a.	a.	NOUN
ejpam-5819	66	21	a.	a.	NOUN
ejpam-5819	66	22	alsalafi	alsalafi	PROPN
ejpam-5819	66	23	,	,	PUNCT
ejpam-5819	66	24	s.	s.	PROPN
ejpam-5819	66	25	h.	h.	PROPN
ejpam-5819	66	26	shahbaz	shahbaz	PROPN
ejpam-5819	66	27	,	,	PUNCT
ejpam-5819	66	28	l.	l.	PROPN
ejpam-5819	66	29	i.	i.	PROPN
ejpam-5819	66	30	al	al	PROPN
ejpam-5819	66	31	-	-	PUNCT
ejpam-5819	66	32	turk	turk	PROPN
ejpam-5819	66	33	/	/	SYM
ejpam-5819	66	34	eur	eur	PROPN
ejpam-5819	66	35	.	.	PUNCT
ejpam-5819	67	1	j.	j.	PROPN
ejpam-5819	67	2	pure	pure	PROPN
ejpam-5819	67	3	appl	appl	PROPN
ejpam-5819	67	4	.	.	PROPN
ejpam-5819	67	5	math	math	PROPN
ejpam-5819	67	6	,	,	PUNCT
ejpam-5819	67	7	18	18	NUM
ejpam-5819	67	8	(	(	PUNCT
ejpam-5819	67	9	2	2	NUM
ejpam-5819	67	10	)	)	PUNCT
ejpam-5819	67	11	(	(	PUNCT
ejpam-5819	67	12	2025	2025	NUM
ejpam-5819	67	13	)	)	PUNCT
ejpam-5819	67	14	,	,	PUNCT
ejpam-5819	67	15	5819	5819	NUM
ejpam-5819	67	16	4	4	NUM
ejpam-5819	67	17	of	of	ADP
ejpam-5819	67	18	28	28	NUM
ejpam-5819	67	19	in	in	ADP
ejpam-5819	67	20	eq.(3	eq.(3	NOUN
ejpam-5819	67	21	)	)	PUNCT
ejpam-5819	67	22	and	and	CCONJ
ejpam-5819	67	23	the	the	DET
ejpam-5819	67	24	joint	joint	ADJ
ejpam-5819	67	25	cdf	cdf	PROPN
ejpam-5819	67	26	of	of	ADP
ejpam-5819	67	27	the	the	DET
ejpam-5819	67	28	family	family	NOUN
ejpam-5819	67	29	as	as	ADP
ejpam-5819	67	30	:	:	PUNCT
ejpam-5819	67	31	fx	fx	PROPN
ejpam-5819	67	32	,	,	PUNCT
ejpam-5819	67	33	y	y	PROPN
ejpam-5819	67	34	(	(	PUNCT
ejpam-5819	67	35	x	x	PROPN
ejpam-5819	67	36	,	,	PUNCT
ejpam-5819	67	37	y	y	NOUN
ejpam-5819	67	38	)	)	PUNCT
ejpam-5819	68	1	=	=	SYM
ejpam-5819	68	2	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	68	3	+	+	CCONJ
ejpam-5819	68	4	(	(	PUNCT
ejpam-5819	68	5	λ1	λ1	PROPN
ejpam-5819	68	6	+	+	PROPN
ejpam-5819	68	7	λ3)(1−g1(x	λ3)(1−g1(x	PROPN
ejpam-5819	68	8	)	)	PUNCT
ejpam-5819	68	9	)	)	PUNCT
ejpam-5819	69	1	+	+	CCONJ
ejpam-5819	69	2	(	(	PUNCT
ejpam-5819	69	3	λ2	λ2	NOUN
ejpam-5819	69	4	+	+	CCONJ
ejpam-5819	69	5	λ3)(1−g2(y	λ3)(1−g2(y	PROPN
ejpam-5819	69	6	)	)	PUNCT
ejpam-5819	69	7	)	)	PUNCT
ejpam-5819	70	1	]	]	PUNCT
ejpam-5819	70	2	,	,	PUNCT
ejpam-5819	70	3	(	(	PUNCT
ejpam-5819	70	4	4	4	X
ejpam-5819	70	5	)	)	PUNCT
ejpam-5819	70	6	where	where	SCONJ
ejpam-5819	70	7	g1(x	g1(x	NOUN
ejpam-5819	70	8	)	)	PUNCT
ejpam-5819	70	9	and	and	CCONJ
ejpam-5819	70	10	g2(y	g2(y	NOUN
ejpam-5819	70	11	)	)	PUNCT
ejpam-5819	70	12	are	be	AUX
ejpam-5819	70	13	any	any	DET
ejpam-5819	70	14	marginal	marginal	ADJ
ejpam-5819	70	15	cdf	cdf	NOUN
ejpam-5819	70	16	for	for	ADP
ejpam-5819	70	17	all	all	DET
ejpam-5819	70	18	(	(	PUNCT
ejpam-5819	70	19	x	x	NOUN
ejpam-5819	70	20	,	,	PUNCT
ejpam-5819	70	21	y	y	NOUN
ejpam-5819	70	22	)	)	PUNCT
ejpam-5819	70	23	∈	∈	PROPN
ejpam-5819	70	24	r2	r2	NOUN
ejpam-5819	70	25	,	,	PUNCT
ejpam-5819	70	26	(	(	PUNCT
ejpam-5819	70	27	λ1	λ1	ADJ
ejpam-5819	70	28	,	,	PUNCT
ejpam-5819	70	29	λ2	λ2	PROPN
ejpam-5819	70	30	,	,	PUNCT
ejpam-5819	70	31	λ3	λ3	PROPN
ejpam-5819	70	32	)	)	PUNCT
ejpam-5819	70	33	are	be	AUX
ejpam-5819	70	34	the	the	DET
ejpam-5819	70	35	transmutation	transmutation	NOUN
ejpam-5819	70	36	parameters	parameter	NOUN
ejpam-5819	70	37	such	such	ADJ
ejpam-5819	70	38	that	that	SCONJ
ejpam-5819	70	39	(	(	PUNCT
ejpam-5819	70	40	λ1	λ1	ADJ
ejpam-5819	70	41	,	,	PUNCT
ejpam-5819	70	42	λ2	λ2	PROPN
ejpam-5819	70	43	,	,	PUNCT
ejpam-5819	70	44	λ3	λ3	PROPN
ejpam-5819	70	45	)	)	PUNCT
ejpam-5819	70	46	∈	∈	PROPN
ejpam-5819	71	1	[	[	X
ejpam-5819	71	2	−1	−1	NOUN
ejpam-5819	71	3	,	,	PUNCT
ejpam-5819	71	4	1	1	NUM
ejpam-5819	71	5	]	]	PUNCT
ejpam-5819	71	6	under	under	ADP
ejpam-5819	71	7	these	these	DET
ejpam-5819	71	8	conditions	condition	NOUN
ejpam-5819	71	9	:	:	PUNCT
ejpam-5819	71	10	−1	−1	NOUN
ejpam-5819	71	11	⩽	⩽	NOUN
ejpam-5819	71	12	λ1	λ1	PROPN
ejpam-5819	71	13	−	−	PROPN
ejpam-5819	71	14	λ2	λ2	PROPN
ejpam-5819	71	15	⩽	⩽	PROPN
ejpam-5819	71	16	1,−1	1,−1	NUM
ejpam-5819	71	17	⩽	⩽	NOUN
ejpam-5819	71	18	λ1	λ1	PROPN
ejpam-5819	71	19	+	+	NUM
ejpam-5819	71	20	λ2	λ2	NOUN
ejpam-5819	71	21	+	+	CCONJ
ejpam-5819	71	22	2λ3	2λ3	NUM
ejpam-5819	71	23	⩽	⩽	NOUN
ejpam-5819	71	24	1,−1	1,−1	NUM
ejpam-5819	71	25	⩽	⩽	PROPN
ejpam-5819	71	26	λ1	λ1	PROPN
ejpam-5819	71	27	+	+	CCONJ
ejpam-5819	71	28	λ3	λ3	PROPN
ejpam-5819	71	29	⩽	⩽	NOUN
ejpam-5819	71	30	1	1	NUM
ejpam-5819	71	31	and	and	CCONJ
ejpam-5819	71	32	−1	−1	NOUN
ejpam-5819	71	33	⩽	⩽	ADJ
ejpam-5819	71	34	λ2	λ2	PROPN
ejpam-5819	71	35	+	+	CCONJ
ejpam-5819	71	36	λ3	λ3	PROPN
ejpam-5819	71	37	⩽	⩽	PROPN
ejpam-5819	71	38	1	1	NUM
ejpam-5819	71	39	.	.	PUNCT
ejpam-5819	72	1	the	the	DET
ejpam-5819	72	2	pdf	pdf	NOUN
ejpam-5819	72	3	corresponding	correspond	VERB
ejpam-5819	72	4	to	to	ADP
ejpam-5819	72	5	the	the	DET
ejpam-5819	72	6	cdf	cdf	PROPN
ejpam-5819	72	7	in	in	ADP
ejpam-5819	72	8	eq.(4	eq.(4	ADJ
ejpam-5819	72	9	)	)	PUNCT
ejpam-5819	72	10	as	as	ADP
ejpam-5819	72	11	:	:	PUNCT
ejpam-5819	72	12	fx	fx	PROPN
ejpam-5819	72	13	,	,	PUNCT
ejpam-5819	72	14	y	y	PROPN
ejpam-5819	72	15	(	(	PUNCT
ejpam-5819	72	16	x	x	PROPN
ejpam-5819	72	17	,	,	PUNCT
ejpam-5819	72	18	y	y	NOUN
ejpam-5819	72	19	)	)	PUNCT
ejpam-5819	73	1	=	=	SYM
ejpam-5819	73	2	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	73	3	+	+	CCONJ
ejpam-5819	73	4	(	(	PUNCT
ejpam-5819	73	5	λ1	λ1	ADJ
ejpam-5819	73	6	+	+	CCONJ
ejpam-5819	73	7	λ3)(1−	λ3)(1−	NOUN
ejpam-5819	73	8	2g1(x	2g1(x	NUM
ejpam-5819	73	9	)	)	PUNCT
ejpam-5819	73	10	)	)	PUNCT
ejpam-5819	74	1	+	+	CCONJ
ejpam-5819	74	2	(	(	PUNCT
ejpam-5819	74	3	λ2	λ2	NOUN
ejpam-5819	74	4	+	+	CCONJ
ejpam-5819	74	5	λ3)(1−	λ3)(1−	NOUN
ejpam-5819	74	6	2g2(y	2g2(y	NUM
ejpam-5819	74	7	)	)	PUNCT
ejpam-5819	74	8	)	)	PUNCT
ejpam-5819	74	9	]	]	PUNCT
ejpam-5819	74	10	.	.	PUNCT
ejpam-5819	75	1	where	where	SCONJ
ejpam-5819	75	2	g1(x	g1(x	NOUN
ejpam-5819	75	3	)	)	PUNCT
ejpam-5819	75	4	and	and	CCONJ
ejpam-5819	75	5	g2(y	g2(y	NOUN
ejpam-5819	75	6	)	)	PUNCT
ejpam-5819	75	7	are	be	AUX
ejpam-5819	75	8	the	the	DET
ejpam-5819	75	9	pdf	pdf	NOUN
ejpam-5819	75	10	of	of	ADP
ejpam-5819	75	11	any	any	DET
ejpam-5819	75	12	base	base	NOUN
ejpam-5819	75	13	distribution	distribution	NOUN
ejpam-5819	75	14	corresponding	correspond	VERB
ejpam-5819	75	15	to	to	ADP
ejpam-5819	75	16	the	the	DET
ejpam-5819	75	17	cdf	cdf	PROPN
ejpam-5819	75	18	g1(x	g1(x	NOUN
ejpam-5819	75	19	)	)	PUNCT
ejpam-5819	75	20	and	and	CCONJ
ejpam-5819	75	21	g2(y	g2(y	NOUN
ejpam-5819	75	22	)	)	PUNCT
ejpam-5819	75	23	,	,	PUNCT
ejpam-5819	75	24	respectively	respectively	ADV
ejpam-5819	75	25	.	.	PUNCT
ejpam-5819	76	1	3	3	X
ejpam-5819	76	2	.	.	X
ejpam-5819	76	3	the	the	DET
ejpam-5819	76	4	bivariate	bivariate	ADJ
ejpam-5819	76	5	cubic	cubic	ADJ
ejpam-5819	76	6	transmuted	transmuted	ADJ
ejpam-5819	76	7	families	family	NOUN
ejpam-5819	76	8	of	of	ADP
ejpam-5819	76	9	distributions	distribution	NOUN
ejpam-5819	76	10	in	in	ADP
ejpam-5819	76	11	this	this	DET
ejpam-5819	76	12	section	section	NOUN
ejpam-5819	76	13	we	we	PRON
ejpam-5819	76	14	proposed	propose	VERB
ejpam-5819	76	15	bivariate	bivariate	ADJ
ejpam-5819	76	16	cubic	cubic	ADJ
ejpam-5819	76	17	transmuted	transmute	VERB
ejpam-5819	76	18	(	(	PUNCT
ejpam-5819	76	19	bct	bct	NOUN
ejpam-5819	76	20	)	)	PUNCT
ejpam-5819	76	21	family	family	NOUN
ejpam-5819	76	22	using	use	VERB
ejpam-5819	76	23	r(u1	r(u1	NOUN
ejpam-5819	76	24	,	,	PUNCT
ejpam-5819	76	25	u2	u2	NOUN
ejpam-5819	76	26	)	)	PUNCT
ejpam-5819	76	27	=	=	SYM
ejpam-5819	77	1	1	1	NUM
ejpam-5819	77	2	+	+	NUM
ejpam-5819	77	3	λ1(1−	λ1(1−	NOUN
ejpam-5819	77	4	2u1	2u1	NUM
ejpam-5819	77	5	)	)	PUNCT
ejpam-5819	78	1	+	+	CCONJ
ejpam-5819	79	1	λ2u1(2−	λ2u1(2−	PROPN
ejpam-5819	79	2	3u1	3u1	NUM
ejpam-5819	79	3	)	)	PUNCT
ejpam-5819	79	4	+	+	CCONJ
ejpam-5819	79	5	λ3(1−	λ3(1−	ADJ
ejpam-5819	79	6	2u2	2u2	NUM
ejpam-5819	79	7	)	)	PUNCT
ejpam-5819	80	1	+	+	CCONJ
ejpam-5819	81	1	λ4u2(2−	λ4u2(2−	PROPN
ejpam-5819	81	2	3u2	3u2	NUM
ejpam-5819	81	3	)	)	PUNCT
ejpam-5819	82	1	+	+	CCONJ
ejpam-5819	82	2	λ5(1−	λ5(1−	PROPN
ejpam-5819	82	3	3u21)(1−	3u21)(1−	NOUN
ejpam-5819	82	4	3u22	3u22	NUM
ejpam-5819	82	5	)	)	PUNCT
ejpam-5819	82	6	;	;	PUNCT
ejpam-5819	82	7	0	0	NUM
ejpam-5819	82	8	<	<	X
ejpam-5819	82	9	u1	u1	PROPN
ejpam-5819	82	10	,	,	PUNCT
ejpam-5819	82	11	u2	u2	NOUN
ejpam-5819	82	12	<	<	X
ejpam-5819	82	13	1	1	NUM
ejpam-5819	82	14	.	.	PUNCT
ejpam-5819	82	15	(	(	PUNCT
ejpam-5819	82	16	5	5	X
ejpam-5819	82	17	)	)	PUNCT
ejpam-5819	82	18	this	this	DET
ejpam-5819	82	19	function	function	NOUN
ejpam-5819	82	20	generalizes	generalize	VERB
ejpam-5819	82	21	previous	previous	ADJ
ejpam-5819	82	22	models	model	NOUN
ejpam-5819	82	23	and	and	CCONJ
ejpam-5819	82	24	offers	offer	VERB
ejpam-5819	82	25	more	more	ADV
ejpam-5819	82	26	flexible	flexible	ADJ
ejpam-5819	82	27	dependency	dependency	NOUN
ejpam-5819	82	28	structures	structure	NOUN
ejpam-5819	82	29	between	between	ADP
ejpam-5819	82	30	variables	variable	NOUN
ejpam-5819	82	31	while	while	SCONJ
ejpam-5819	82	32	also	also	ADV
ejpam-5819	82	33	incorporating	incorporate	VERB
ejpam-5819	82	34	non	non	ADJ
ejpam-5819	82	35	-	-	ADJ
ejpam-5819	82	36	linear	linear	ADJ
ejpam-5819	82	37	effects	effect	NOUN
ejpam-5819	82	38	to	to	PART
ejpam-5819	82	39	capture	capture	VERB
ejpam-5819	82	40	more	more	ADJ
ejpam-5819	82	41	complex	complex	ADJ
ejpam-5819	82	42	relationships	relationship	NOUN
ejpam-5819	82	43	.	.	PUNCT
ejpam-5819	83	1	it	it	PRON
ejpam-5819	83	2	ensures	ensure	VERB
ejpam-5819	83	3	the	the	DET
ejpam-5819	83	4	validity	validity	NOUN
ejpam-5819	83	5	of	of	ADP
ejpam-5819	83	6	probabilistic	probabilistic	ADJ
ejpam-5819	83	7	properties	property	NOUN
ejpam-5819	83	8	,	,	PUNCT
ejpam-5819	83	9	making	make	VERB
ejpam-5819	83	10	it	it	PRON
ejpam-5819	83	11	well	well	ADV
ejpam-5819	83	12	-	-	PUNCT
ejpam-5819	83	13	suited	suited	ADJ
ejpam-5819	83	14	for	for	ADP
ejpam-5819	83	15	constructing	construct	VERB
ejpam-5819	83	16	a	a	DET
ejpam-5819	83	17	new	new	ADJ
ejpam-5819	83	18	bivariate	bivariate	ADJ
ejpam-5819	83	19	distribution	distribution	NOUN
ejpam-5819	83	20	.	.	PUNCT
ejpam-5819	84	1	in	in	ADP
ejpam-5819	84	2	addition	addition	NOUN
ejpam-5819	84	3	,	,	PUNCT
ejpam-5819	84	4	it	it	PRON
ejpam-5819	84	5	can	can	AUX
ejpam-5819	84	6	recover	recover	VERB
ejpam-5819	84	7	traditional	traditional	ADJ
ejpam-5819	84	8	cases	case	NOUN
ejpam-5819	84	9	where	where	SCONJ
ejpam-5819	84	10	certain	certain	ADJ
ejpam-5819	84	11	parameters	parameter	NOUN
ejpam-5819	84	12	are	be	AUX
ejpam-5819	84	13	set	set	VERB
ejpam-5819	84	14	to	to	ADP
ejpam-5819	84	15	zero	zero	NUM
ejpam-5819	84	16	,	,	PUNCT
ejpam-5819	84	17	which	which	PRON
ejpam-5819	84	18	simplifies	simplify	VERB
ejpam-5819	84	19	interpretation	interpretation	NOUN
ejpam-5819	84	20	and	and	CCONJ
ejpam-5819	84	21	application	application	NOUN
ejpam-5819	84	22	.	.	PUNCT
ejpam-5819	85	1	using	use	VERB
ejpam-5819	85	2	(	(	PUNCT
ejpam-5819	85	3	5)in	5)in	NUM
ejpam-5819	85	4	(	(	PUNCT
ejpam-5819	85	5	3	3	NUM
ejpam-5819	85	6	)	)	PUNCT
ejpam-5819	85	7	,	,	PUNCT
ejpam-5819	85	8	to	to	PART
ejpam-5819	85	9	get	get	VERB
ejpam-5819	85	10	the	the	DET
ejpam-5819	85	11	cumulative	cumulative	ADJ
ejpam-5819	85	12	distribution	distribution	NOUN
ejpam-5819	85	13	function	function	NOUN
ejpam-5819	85	14	for	for	ADP
ejpam-5819	85	15	the	the	DET
ejpam-5819	85	16	bct	bct	NOUN
ejpam-5819	85	17	family	family	NOUN
ejpam-5819	85	18	of	of	ADP
ejpam-5819	85	19	distributions	distribution	NOUN
ejpam-5819	85	20	(	(	PUNCT
ejpam-5819	85	21	cdf	cdf	PROPN
ejpam-5819	85	22	)	)	PUNCT
ejpam-5819	85	23	as	as	ADP
ejpam-5819	85	24	:	:	PUNCT
ejpam-5819	85	25	fx	fx	PROPN
ejpam-5819	85	26	,	,	PUNCT
ejpam-5819	85	27	y	y	PROPN
ejpam-5819	85	28	(	(	PUNCT
ejpam-5819	85	29	x	x	PROPN
ejpam-5819	85	30	,	,	PUNCT
ejpam-5819	85	31	y	y	NOUN
ejpam-5819	85	32	)	)	PUNCT
ejpam-5819	85	33	=	=	SYM
ejpam-5819	85	34	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	85	35	+	+	CCONJ
ejpam-5819	85	36	λ1	λ1	PROPN
ejpam-5819	85	37	+	+	CCONJ
ejpam-5819	85	38	λ3	λ3	PROPN
ejpam-5819	85	39	+	+	NOUN
ejpam-5819	85	40	λ5	λ5	NOUN
ejpam-5819	85	41	+	+	CCONJ
ejpam-5819	85	42	(	(	PUNCT
ejpam-5819	85	43	λ2	λ2	NOUN
ejpam-5819	85	44	−	−	PROPN
ejpam-5819	85	45	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	85	46	(	(	PUNCT
ejpam-5819	85	47	λ2	λ2	NOUN
ejpam-5819	85	48	+	+	CCONJ
ejpam-5819	85	49	λ5)g	λ5)g	PROPN
ejpam-5819	85	50	2	2	NUM
ejpam-5819	85	51	1(x	1(x	NUM
ejpam-5819	85	52	)	)	PUNCT
ejpam-5819	86	1	+	+	CCONJ
ejpam-5819	86	2	(	(	PUNCT
ejpam-5819	86	3	λ4	λ4	ADJ
ejpam-5819	86	4	−	−	PROPN
ejpam-5819	86	5	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	86	6	(	(	PUNCT
ejpam-5819	86	7	λ4	λ4	PROPN
ejpam-5819	86	8	+	+	CCONJ
ejpam-5819	86	9	λ5)g	λ5)g	PROPN
ejpam-5819	86	10	2	2	NUM
ejpam-5819	86	11	2(y	2(y	NUM
ejpam-5819	86	12	)	)	PUNCT
ejpam-5819	87	1	+	+	CCONJ
ejpam-5819	87	2	λ5	λ5	NOUN
ejpam-5819	87	3	g	g	PROPN
ejpam-5819	87	4	2	2	NUM
ejpam-5819	87	5	1(x)g	1(x)g	NOUN
ejpam-5819	87	6	2	2	NUM
ejpam-5819	87	7	2(y	2(y	NUM
ejpam-5819	87	8	)	)	PUNCT
ejpam-5819	87	9	]	]	PUNCT
ejpam-5819	87	10	.	.	PUNCT
ejpam-5819	88	1	(	(	PUNCT
ejpam-5819	88	2	6	6	X
ejpam-5819	88	3	)	)	PUNCT
ejpam-5819	88	4	the	the	DET
ejpam-5819	88	5	joint	joint	ADJ
ejpam-5819	88	6	pdf	pdf	NOUN
ejpam-5819	88	7	corresponding	correspond	VERB
ejpam-5819	88	8	to	to	ADP
ejpam-5819	88	9	eq	eq	PROPN
ejpam-5819	88	10	.	.	PUNCT
ejpam-5819	89	1	(	(	PUNCT
ejpam-5819	89	2	6	6	NUM
ejpam-5819	89	3	)	)	PUNCT
ejpam-5819	89	4	is	be	AUX
ejpam-5819	89	5	easily	easily	ADV
ejpam-5819	89	6	obtained	obtain	VERB
ejpam-5819	89	7	by	by	ADP
ejpam-5819	89	8	differentiating	differentiate	VERB
ejpam-5819	89	9	eq.(6	eq.(6	NOUN
ejpam-5819	89	10	)	)	PUNCT
ejpam-5819	89	11	with	with	ADP
ejpam-5819	89	12	respect	respect	NOUN
ejpam-5819	89	13	to	to	ADP
ejpam-5819	89	14	x	x	PUNCT
ejpam-5819	89	15	and	and	CCONJ
ejpam-5819	89	16	y	y	PROPN
ejpam-5819	89	17	and	and	CCONJ
ejpam-5819	89	18	is	be	AUX
ejpam-5819	89	19	fx	fx	PROPN
ejpam-5819	89	20	,	,	PUNCT
ejpam-5819	89	21	y	y	PROPN
ejpam-5819	89	22	(	(	PUNCT
ejpam-5819	89	23	x	x	PROPN
ejpam-5819	89	24	,	,	PUNCT
ejpam-5819	89	25	y	y	NOUN
ejpam-5819	89	26	)	)	PUNCT
ejpam-5819	90	1	=	=	SYM
ejpam-5819	90	2	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	90	3	+	+	CCONJ
ejpam-5819	90	4	λ1	λ1	PROPN
ejpam-5819	90	5	+	+	CCONJ
ejpam-5819	90	6	λ3	λ3	PROPN
ejpam-5819	90	7	+	+	NOUN
ejpam-5819	90	8	λ5	λ5	NOUN
ejpam-5819	90	9	+	+	CCONJ
ejpam-5819	90	10	2(λ2	2(λ2	NUM
ejpam-5819	90	11	−	−	NOUN
ejpam-5819	90	12	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	90	13	3(λ2	3(λ2	NUM
ejpam-5819	91	1	+	+	CCONJ
ejpam-5819	91	2	λ5)g	λ5)g	PROPN
ejpam-5819	91	3	2	2	NUM
ejpam-5819	91	4	1(x	1(x	NUM
ejpam-5819	91	5	)	)	PUNCT
ejpam-5819	92	1	+	+	CCONJ
ejpam-5819	92	2	2(λ4	2(λ4	NUM
ejpam-5819	92	3	−	−	NOUN
ejpam-5819	92	4	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	92	5	3(λ4	3(λ4	PROPN
ejpam-5819	92	6	+	+	NUM
ejpam-5819	92	7	λ5)g	λ5)g	PROPN
ejpam-5819	92	8	2	2	NUM
ejpam-5819	92	9	2(y	2(y	NUM
ejpam-5819	92	10	)	)	PUNCT
ejpam-5819	93	1	+	+	CCONJ
ejpam-5819	93	2	9λ5	9λ5	NUM
ejpam-5819	93	3	g	g	NOUN
ejpam-5819	93	4	2	2	NUM
ejpam-5819	93	5	1(x)g	1(x)g	NOUN
ejpam-5819	93	6	2	2	NUM
ejpam-5819	93	7	2(y	2(y	NUM
ejpam-5819	93	8	)	)	PUNCT
ejpam-5819	93	9	]	]	PUNCT
ejpam-5819	93	10	(	(	PUNCT
ejpam-5819	93	11	7	7	X
ejpam-5819	93	12	)	)	PUNCT
ejpam-5819	93	13	where	where	SCONJ
ejpam-5819	93	14	(	(	PUNCT
ejpam-5819	93	15	λ1	λ1	ADJ
ejpam-5819	93	16	,	,	PUNCT
ejpam-5819	93	17	λ2	λ2	PROPN
ejpam-5819	93	18	,	,	PUNCT
ejpam-5819	93	19	λ3	λ3	PROPN
ejpam-5819	93	20	,	,	PUNCT
ejpam-5819	93	21	λ4	λ4	PROPN
ejpam-5819	93	22	,	,	PUNCT
ejpam-5819	93	23	λ5	λ5	NOUN
ejpam-5819	93	24	)	)	PUNCT
ejpam-5819	93	25	∈	∈	NOUN
ejpam-5819	94	1	[	[	X
ejpam-5819	94	2	−1	−1	NOUN
ejpam-5819	94	3	,	,	PUNCT
ejpam-5819	94	4	1	1	NUM
ejpam-5819	94	5	]	]	PUNCT
ejpam-5819	94	6	under	under	ADP
ejpam-5819	94	7	these	these	DET
ejpam-5819	94	8	conditions:−2	conditions:−2	PROPN
ejpam-5819	94	9	≤	≤	PUNCT
ejpam-5819	94	10	λ1	λ1	PROPN
ejpam-5819	94	11	+	+	CCONJ
ejpam-5819	94	12	λ3	λ3	PROPN
ejpam-5819	95	1	+	+	NOUN
ejpam-5819	95	2	λ5	λ5	VERB
ejpam-5819	95	3	≤	≤	NUM
ejpam-5819	95	4	0,−1	0,−1	PRON
ejpam-5819	96	1	≤	≤	ADJ
ejpam-5819	96	2	λ2	λ2	NOUN
ejpam-5819	96	3	−	−	PROPN
ejpam-5819	96	4	λ1	λ1	ADJ
ejpam-5819	96	5	≤	≤	NUM
ejpam-5819	96	6	1,−1	1,−1	NUM
ejpam-5819	96	7	≤	≤	NUM
ejpam-5819	96	8	λ2	λ2	NOUN
ejpam-5819	96	9	+	+	CCONJ
ejpam-5819	96	10	λ5	λ5	VERB
ejpam-5819	96	11	≤	≤	NUM
ejpam-5819	96	12	1	1	NUM
ejpam-5819	96	13	,	,	PUNCT
ejpam-5819	96	14	−1	−1	NOUN
ejpam-5819	96	15	≤	≤	PUNCT
ejpam-5819	97	1	λ3	λ3	PROPN
ejpam-5819	97	2	−	−	PROPN
ejpam-5819	97	3	λ4	λ4	ADJ
ejpam-5819	97	4	≤	≤	ADJ
ejpam-5819	97	5	1	1	NUM
ejpam-5819	97	6	and	and	CCONJ
ejpam-5819	97	7	−1	−1	NOUN
ejpam-5819	97	8	≤	≤	PUNCT
ejpam-5819	97	9	λ4	λ4	PROPN
ejpam-5819	97	10	+	+	CCONJ
ejpam-5819	97	11	λ5	λ5	VERB
ejpam-5819	97	12	≤	≤	NUM
ejpam-5819	97	13	1	1	NUM
ejpam-5819	97	14	.	.	PUNCT
ejpam-5819	97	15	a.	a.	NOUN
ejpam-5819	97	16	a.	a.	PROPN
ejpam-5819	97	17	alsalafi	alsalafi	PROPN
ejpam-5819	97	18	,	,	PUNCT
ejpam-5819	97	19	s.	s.	PROPN
ejpam-5819	97	20	h.	h.	PROPN
ejpam-5819	97	21	shahbaz	shahbaz	PROPN
ejpam-5819	97	22	,	,	PUNCT
ejpam-5819	97	23	l.	l.	PROPN
ejpam-5819	97	24	i.	i.	PROPN
ejpam-5819	97	25	al	al	PROPN
ejpam-5819	97	26	-	-	PUNCT
ejpam-5819	97	27	turk	turk	PROPN
ejpam-5819	97	28	/	/	SYM
ejpam-5819	97	29	eur	eur	PROPN
ejpam-5819	97	30	.	.	PUNCT
ejpam-5819	98	1	j.	j.	PROPN
ejpam-5819	98	2	pure	pure	PROPN
ejpam-5819	98	3	appl	appl	PROPN
ejpam-5819	98	4	.	.	PROPN
ejpam-5819	98	5	math	math	PROPN
ejpam-5819	98	6	,	,	PUNCT
ejpam-5819	98	7	18	18	NUM
ejpam-5819	98	8	(	(	PUNCT
ejpam-5819	98	9	2	2	NUM
ejpam-5819	98	10	)	)	PUNCT
ejpam-5819	98	11	(	(	PUNCT
ejpam-5819	98	12	2025	2025	NUM
ejpam-5819	98	13	)	)	PUNCT
ejpam-5819	98	14	,	,	PUNCT
ejpam-5819	98	15	5819	5819	NUM
ejpam-5819	98	16	5	5	NUM
ejpam-5819	98	17	of	of	ADP
ejpam-5819	98	18	28	28	NUM
ejpam-5819	98	19	the	the	DET
ejpam-5819	98	20	marginal	marginal	ADJ
ejpam-5819	98	21	cdf	cdf	PROPN
ejpam-5819	98	22	of	of	ADP
ejpam-5819	98	23	x	x	PROPN
ejpam-5819	98	24	and	and	CCONJ
ejpam-5819	98	25	y	y	PROPN
ejpam-5819	98	26	for	for	ADP
ejpam-5819	98	27	the	the	DET
ejpam-5819	98	28	bct	bct	PROPN
ejpam-5819	98	29	family	family	NOUN
ejpam-5819	98	30	of	of	ADP
ejpam-5819	98	31	distributions	distribution	NOUN
ejpam-5819	98	32	,	,	PUNCT
ejpam-5819	98	33	given	give	VERB
ejpam-5819	98	34	in	in	ADP
ejpam-5819	98	35	(	(	PUNCT
ejpam-5819	98	36	6	6	NUM
ejpam-5819	98	37	)	)	PUNCT
ejpam-5819	98	38	,	,	PUNCT
ejpam-5819	98	39	can	can	AUX
ejpam-5819	98	40	be	be	AUX
ejpam-5819	98	41	easily	easily	ADV
ejpam-5819	98	42	obtained	obtain	VERB
ejpam-5819	98	43	as	as	ADP
ejpam-5819	98	44	follows	follow	NOUN
ejpam-5819	98	45	:	:	PUNCT
ejpam-5819	98	46	fx(x	fx(x	PUNCT
ejpam-5819	98	47	)	)	PUNCT
ejpam-5819	99	1	=	=	SYM
ejpam-5819	99	2	g1(x)[1	g1(x)[1	PROPN
ejpam-5819	99	3	+	+	NUM
ejpam-5819	99	4	λ1(1−g1(x	λ1(1−g1(x	NUM
ejpam-5819	99	5	)	)	PUNCT
ejpam-5819	99	6	)	)	PUNCT
ejpam-5819	100	1	+	+	CCONJ
ejpam-5819	100	2	λ2g1(x)(1−g1(x	λ2g1(x)(1−g1(x	NOUN
ejpam-5819	100	3	)	)	PUNCT
ejpam-5819	100	4	)	)	PUNCT
ejpam-5819	100	5	]	]	PUNCT
ejpam-5819	100	6	,	,	PUNCT
ejpam-5819	100	7	(	(	PUNCT
ejpam-5819	100	8	8)	8)	NUM
ejpam-5819	100	9	where	where	SCONJ
ejpam-5819	100	10	g1(x	g1(x	NOUN
ejpam-5819	100	11	)	)	PUNCT
ejpam-5819	100	12	is	be	AUX
ejpam-5819	100	13	the	the	DET
ejpam-5819	100	14	cdf	cdf	PROPN
ejpam-5819	100	15	of	of	ADP
ejpam-5819	100	16	any	any	DET
ejpam-5819	100	17	baseline	baseline	ADJ
ejpam-5819	100	18	distribution	distribution	NOUN
ejpam-5819	100	19	and	and	CCONJ
ejpam-5819	100	20	(	(	PUNCT
ejpam-5819	100	21	λ1	λ1	ADJ
ejpam-5819	100	22	,	,	PUNCT
ejpam-5819	100	23	λ2	λ2	NOUN
ejpam-5819	100	24	)	)	PUNCT
ejpam-5819	100	25	are	be	AUX
ejpam-5819	100	26	the	the	DET
ejpam-5819	100	27	transmutation	transmutation	NOUN
ejpam-5819	100	28	parameters	parameter	NOUN
ejpam-5819	100	29	such	such	ADJ
ejpam-5819	100	30	that	that	SCONJ
ejpam-5819	100	31	(	(	PUNCT
ejpam-5819	100	32	λ1	λ1	ADJ
ejpam-5819	100	33	,	,	PUNCT
ejpam-5819	100	34	λ2	λ2	NOUN
ejpam-5819	100	35	)	)	PUNCT
ejpam-5819	100	36	∈	∈	NOUN
ejpam-5819	101	1	[	[	X
ejpam-5819	101	2	−1	−1	NOUN
ejpam-5819	101	3	,	,	PUNCT
ejpam-5819	101	4	1	1	NUM
ejpam-5819	101	5	]	]	PUNCT
ejpam-5819	101	6	and	and	CCONJ
ejpam-5819	101	7	−1	−1	NOUN
ejpam-5819	101	8	⩽	⩽	NOUN
ejpam-5819	101	9	λ1	λ1	PROPN
ejpam-5819	101	10	+	+	CCONJ
ejpam-5819	101	11	λ2	λ2	PROPN
ejpam-5819	101	12	⩽	⩽	NOUN
ejpam-5819	101	13	1	1	X
ejpam-5819	101	14	.	.	PUNCT
ejpam-5819	101	15	fy	fy	PROPN
ejpam-5819	101	16	(	(	PUNCT
ejpam-5819	101	17	y	y	NOUN
ejpam-5819	101	18	)	)	PUNCT
ejpam-5819	102	1	=	=	SYM
ejpam-5819	103	1	g2(y)[1	g2(y)[1	PROPN
ejpam-5819	103	2	+	+	CCONJ
ejpam-5819	103	3	λ3(1−g2(y	λ3(1−g2(y	ADJ
ejpam-5819	103	4	)	)	PUNCT
ejpam-5819	103	5	)	)	PUNCT
ejpam-5819	104	1	+	+	CCONJ
ejpam-5819	104	2	λ4g2(y)(1−g2(y	λ4g2(y)(1−g2(y	PROPN
ejpam-5819	104	3	)	)	PUNCT
ejpam-5819	104	4	)	)	PUNCT
ejpam-5819	104	5	]	]	PUNCT
ejpam-5819	104	6	.	.	PUNCT
ejpam-5819	105	1	(	(	PUNCT
ejpam-5819	105	2	9	9	NUM
ejpam-5819	105	3	)	)	PUNCT
ejpam-5819	105	4	where	where	SCONJ
ejpam-5819	105	5	g2(y	g2(y	NOUN
ejpam-5819	105	6	)	)	PUNCT
ejpam-5819	105	7	is	be	AUX
ejpam-5819	105	8	the	the	DET
ejpam-5819	105	9	cdf	cdf	PROPN
ejpam-5819	105	10	of	of	ADP
ejpam-5819	105	11	any	any	DET
ejpam-5819	105	12	baseline	baseline	ADJ
ejpam-5819	105	13	distribution	distribution	NOUN
ejpam-5819	105	14	and	and	CCONJ
ejpam-5819	105	15	(	(	PUNCT
ejpam-5819	105	16	λ3	λ3	PROPN
ejpam-5819	105	17	,	,	PUNCT
ejpam-5819	105	18	λ4	λ4	PROPN
ejpam-5819	105	19	)	)	PUNCT
ejpam-5819	105	20	are	be	AUX
ejpam-5819	105	21	the	the	DET
ejpam-5819	105	22	transmutation	transmutation	NOUN
ejpam-5819	105	23	parameters	parameter	NOUN
ejpam-5819	106	1	such	such	ADJ
ejpam-5819	106	2	that	that	SCONJ
ejpam-5819	106	3	(	(	PUNCT
ejpam-5819	106	4	λ3	λ3	PROPN
ejpam-5819	106	5	,	,	PUNCT
ejpam-5819	106	6	λ4	λ4	ADJ
ejpam-5819	106	7	)	)	PUNCT
ejpam-5819	106	8	∈	∈	PROPN
ejpam-5819	107	1	[	[	X
ejpam-5819	107	2	−1	−1	NOUN
ejpam-5819	107	3	,	,	PUNCT
ejpam-5819	107	4	1	1	NUM
ejpam-5819	107	5	]	]	PUNCT
ejpam-5819	107	6	and	and	CCONJ
ejpam-5819	107	7	−1	−1	NOUN
ejpam-5819	107	8	⩽	⩽	NOUN
ejpam-5819	108	1	λ3	λ3	PROPN
ejpam-5819	108	2	+	+	CCONJ
ejpam-5819	108	3	λ4	λ4	ADJ
ejpam-5819	108	4	⩽	⩽	ADJ
ejpam-5819	108	5	1	1	NUM
ejpam-5819	108	6	note	note	VERB
ejpam-5819	108	7	that	that	SCONJ
ejpam-5819	108	8	the	the	DET
ejpam-5819	108	9	distribution	distribution	NOUN
ejpam-5819	108	10	functions	function	NOUN
ejpam-5819	108	11	(	(	PUNCT
ejpam-5819	108	12	8)	8)	NUM
ejpam-5819	108	13	and	and	CCONJ
ejpam-5819	108	14	(	(	PUNCT
ejpam-5819	108	15	9	9	NUM
ejpam-5819	108	16	)	)	PUNCT
ejpam-5819	108	17	are	be	AUX
ejpam-5819	108	18	cdfs	cdfs	ADJ
ejpam-5819	108	19	of	of	ADP
ejpam-5819	108	20	the	the	DET
ejpam-5819	108	21	cubic	cubic	ADJ
ejpam-5819	108	22	transmuted	transmuted	ADJ
ejpam-5819	108	23	family	family	NOUN
ejpam-5819	108	24	of	of	ADP
ejpam-5819	108	25	distributions	distribution	NOUN
ejpam-5819	108	26	.	.	PUNCT
ejpam-5819	109	1	the	the	DET
ejpam-5819	109	2	marginal	marginal	ADJ
ejpam-5819	109	3	pdf	pdf	NOUN
ejpam-5819	109	4	of	of	ADP
ejpam-5819	109	5	the	the	DET
ejpam-5819	109	6	random	random	ADJ
ejpam-5819	109	7	variables	variable	NOUN
ejpam-5819	109	8	x	x	PUNCT
ejpam-5819	109	9	and	and	CCONJ
ejpam-5819	109	10	y	y	PROPN
ejpam-5819	109	11	for	for	ADP
ejpam-5819	109	12	the	the	DET
ejpam-5819	109	13	bivariate	bivariate	ADJ
ejpam-5819	109	14	cubic	cubic	ADJ
ejpam-5819	109	15	transmuted	transmute	VERB
ejpam-5819	109	16	family	family	NOUN
ejpam-5819	109	17	of	of	ADP
ejpam-5819	109	18	distributions	distribution	NOUN
ejpam-5819	109	19	corresponding	correspond	VERB
ejpam-5819	109	20	to	to	ADP
ejpam-5819	109	21	(	(	PUNCT
ejpam-5819	109	22	8)	8)	NUM
ejpam-5819	109	23	and	and	CCONJ
ejpam-5819	109	24	(	(	PUNCT
ejpam-5819	109	25	9	9	NUM
ejpam-5819	109	26	)	)	PUNCT
ejpam-5819	109	27	,	,	PUNCT
ejpam-5819	109	28	respectively	respectively	ADV
ejpam-5819	109	29	,	,	PUNCT
ejpam-5819	109	30	are	be	AUX
ejpam-5819	109	31	given	give	VERB
ejpam-5819	109	32	as	as	ADP
ejpam-5819	109	33	fx(x	fx(x	ADJ
ejpam-5819	109	34	)	)	PUNCT
ejpam-5819	110	1	=	=	SYM
ejpam-5819	110	2	g1(x)[1	g1(x)[1	PROPN
ejpam-5819	111	1	+	+	CCONJ
ejpam-5819	111	2	λ1(1−	λ1(1−	NOUN
ejpam-5819	111	3	2g1(x	2g1(x	NUM
ejpam-5819	111	4	)	)	PUNCT
ejpam-5819	111	5	)	)	PUNCT
ejpam-5819	112	1	+	+	CCONJ
ejpam-5819	112	2	λ2g1(x)(2−	λ2g1(x)(2−	PROPN
ejpam-5819	112	3	3g1(x	3g1(x	NUM
ejpam-5819	112	4	)	)	PUNCT
ejpam-5819	112	5	)	)	PUNCT
ejpam-5819	113	1	]	]	PUNCT
ejpam-5819	113	2	,	,	PUNCT
ejpam-5819	113	3	(	(	PUNCT
ejpam-5819	113	4	10	10	NUM
ejpam-5819	113	5	)	)	PUNCT
ejpam-5819	113	6	and	and	CCONJ
ejpam-5819	113	7	fy	fy	PROPN
ejpam-5819	113	8	(	(	PUNCT
ejpam-5819	113	9	y	y	NOUN
ejpam-5819	113	10	)	)	PUNCT
ejpam-5819	113	11	=	=	SYM
ejpam-5819	114	1	g2(y)[1	g2(y)[1	PROPN
ejpam-5819	114	2	+	+	CCONJ
ejpam-5819	114	3	λ3(1−	λ3(1−	PROPN
ejpam-5819	114	4	2g2(y	2g2(y	NUM
ejpam-5819	114	5	)	)	PUNCT
ejpam-5819	114	6	)	)	PUNCT
ejpam-5819	115	1	+	+	CCONJ
ejpam-5819	115	2	λ4g2(y)(2−	λ4g2(y)(2−	PROPN
ejpam-5819	115	3	3g2(y	3g2(y	NUM
ejpam-5819	115	4	)	)	PUNCT
ejpam-5819	115	5	)	)	PUNCT
ejpam-5819	115	6	]	]	PUNCT
ejpam-5819	115	7	,	,	PUNCT
ejpam-5819	115	8	(	(	PUNCT
ejpam-5819	115	9	11	11	NUM
ejpam-5819	115	10	)	)	PUNCT
ejpam-5819	115	11	where	where	SCONJ
ejpam-5819	115	12	g1(x	g1(x	NOUN
ejpam-5819	115	13	)	)	PUNCT
ejpam-5819	115	14	and	and	CCONJ
ejpam-5819	115	15	g2(y	g2(y	NOUN
ejpam-5819	115	16	)	)	PUNCT
ejpam-5819	115	17	are	be	AUX
ejpam-5819	115	18	the	the	DET
ejpam-5819	115	19	pdf	pdf	NOUN
ejpam-5819	115	20	of	of	ADP
ejpam-5819	115	21	any	any	DET
ejpam-5819	115	22	base	base	NOUN
ejpam-5819	115	23	distribution	distribution	NOUN
ejpam-5819	115	24	corresponding	correspond	VERB
ejpam-5819	115	25	to	to	ADP
ejpam-5819	115	26	the	the	DET
ejpam-5819	115	27	cdf	cdf	PROPN
ejpam-5819	115	28	g1(x	g1(x	NOUN
ejpam-5819	115	29	)	)	PUNCT
ejpam-5819	115	30	and	and	CCONJ
ejpam-5819	115	31	g2(y	g2(y	NOUN
ejpam-5819	115	32	)	)	PUNCT
ejpam-5819	115	33	,	,	PUNCT
ejpam-5819	115	34	respectively	respectively	ADV
ejpam-5819	115	35	.	.	PUNCT
ejpam-5819	116	1	it	it	PRON
ejpam-5819	116	2	is	be	AUX
ejpam-5819	116	3	easy	easy	ADJ
ejpam-5819	116	4	to	to	PART
ejpam-5819	116	5	see	see	VERB
ejpam-5819	116	6	that	that	PRON
ejpam-5819	116	7	(	(	PUNCT
ejpam-5819	116	8	10	10	NUM
ejpam-5819	116	9	)	)	PUNCT
ejpam-5819	116	10	and	and	CCONJ
ejpam-5819	116	11	(	(	PUNCT
ejpam-5819	116	12	11	11	NUM
ejpam-5819	116	13	)	)	PUNCT
ejpam-5819	116	14	are	be	AUX
ejpam-5819	116	15	density	density	NOUN
ejpam-5819	116	16	functions	function	NOUN
ejpam-5819	116	17	of	of	ADP
ejpam-5819	116	18	the	the	DET
ejpam-5819	116	19	univariate	univariate	ADJ
ejpam-5819	116	20	cubic	cubic	ADJ
ejpam-5819	116	21	transmuted	transmuted	ADJ
ejpam-5819	116	22	family	family	NOUN
ejpam-5819	116	23	of	of	ADP
ejpam-5819	116	24	distributions	distribution	NOUN
ejpam-5819	116	25	which	which	PRON
ejpam-5819	116	26	are	be	AUX
ejpam-5819	116	27	cdfs	cdfs	ADJ
ejpam-5819	116	28	of	of	ADP
ejpam-5819	116	29	the	the	DET
ejpam-5819	116	30	cubic	cubic	ADJ
ejpam-5819	116	31	transmuted	transmuted	ADJ
ejpam-5819	116	32	family	family	NOUN
ejpam-5819	116	33	of	of	ADP
ejpam-5819	116	34	distributions	distribution	NOUN
ejpam-5819	116	35	proposed	propose	VERB
ejpam-5819	116	36	by	by	ADP
ejpam-5819	116	37	[	[	X
ejpam-5819	116	38	6	6	NUM
ejpam-5819	116	39	]	]	PUNCT
ejpam-5819	116	40	.	.	PUNCT
ejpam-5819	117	1	the	the	DET
ejpam-5819	117	2	conditional	conditional	ADJ
ejpam-5819	117	3	distribution	distribution	NOUN
ejpam-5819	117	4	of	of	ADP
ejpam-5819	117	5	x	x	PUNCT
ejpam-5819	117	6	given	give	VERB
ejpam-5819	117	7	y	y	PROPN
ejpam-5819	117	8	=	=	SYM
ejpam-5819	117	9	y	y	PROPN
ejpam-5819	117	10	is	be	AUX
ejpam-5819	117	11	obtained	obtain	VERB
ejpam-5819	117	12	as	as	ADP
ejpam-5819	117	13	:	:	PUNCT
ejpam-5819	117	14	fx|y	fx|y	X
ejpam-5819	117	15	(	(	PUNCT
ejpam-5819	117	16	x	x	NOUN
ejpam-5819	117	17	,	,	PUNCT
ejpam-5819	117	18	y	y	NOUN
ejpam-5819	117	19	)	)	PUNCT
ejpam-5819	117	20	=	=	SYM
ejpam-5819	117	21	fx	fx	PROPN
ejpam-5819	117	22	,	,	PUNCT
ejpam-5819	117	23	y	y	PROPN
ejpam-5819	117	24	(	(	PUNCT
ejpam-5819	117	25	x	x	PROPN
ejpam-5819	117	26	,	,	PUNCT
ejpam-5819	117	27	y	y	PROPN
ejpam-5819	117	28	)	)	PUNCT
ejpam-5819	117	29	fy	fy	PROPN
ejpam-5819	117	30	(	(	PUNCT
ejpam-5819	117	31	y	y	PROPN
ejpam-5819	117	32	)	)	PUNCT
ejpam-5819	117	33	,	,	PUNCT
ejpam-5819	117	34	using	use	VERB
ejpam-5819	117	35	(	(	PUNCT
ejpam-5819	117	36	7	7	NUM
ejpam-5819	117	37	)	)	PUNCT
ejpam-5819	117	38	and	and	CCONJ
ejpam-5819	117	39	(	(	PUNCT
ejpam-5819	117	40	11	11	NUM
ejpam-5819	117	41	)	)	PUNCT
ejpam-5819	117	42	in	in	ADP
ejpam-5819	117	43	the	the	DET
ejpam-5819	117	44	above	above	ADJ
ejpam-5819	117	45	equation	equation	NOUN
ejpam-5819	117	46	,	,	PUNCT
ejpam-5819	117	47	the	the	DET
ejpam-5819	117	48	conditional	conditional	ADJ
ejpam-5819	117	49	distribution	distribution	NOUN
ejpam-5819	117	50	of	of	ADP
ejpam-5819	117	51	x	x	PUNCT
ejpam-5819	117	52	given	give	VERB
ejpam-5819	117	53	y	y	PROPN
ejpam-5819	117	54	=	=	PUNCT
ejpam-5819	117	55	y	y	PROPN
ejpam-5819	117	56	for	for	ADP
ejpam-5819	117	57	the	the	DET
ejpam-5819	117	58	bivariate	bivariate	ADJ
ejpam-5819	117	59	cubic	cubic	ADJ
ejpam-5819	117	60	transmuted	transmute	VERB
ejpam-5819	117	61	family	family	NOUN
ejpam-5819	117	62	of	of	ADP
ejpam-5819	117	63	distributions	distribution	NOUN
ejpam-5819	117	64	is	be	AUX
ejpam-5819	117	65	readily	readily	ADV
ejpam-5819	117	66	written	write	VERB
ejpam-5819	117	67	as	as	ADP
ejpam-5819	117	68	:	:	PUNCT
ejpam-5819	117	69	fx|y(x	fx|y(x	NUM
ejpam-5819	117	70	,	,	PUNCT
ejpam-5819	117	71	y	y	NOUN
ejpam-5819	117	72	)	)	PUNCT
ejpam-5819	118	1	=	=	SYM
ejpam-5819	118	2	g1(x)δ(x	g1(x)δ(x	PROPN
ejpam-5819	118	3	,	,	PUNCT
ejpam-5819	118	4	y	y	PROPN
ejpam-5819	118	5	)	)	PUNCT
ejpam-5819	119	1	[	[	X
ejpam-5819	119	2	1	1	NUM
ejpam-5819	119	3	+	+	CCONJ
ejpam-5819	119	4	λ3(1−	λ3(1−	PROPN
ejpam-5819	119	5	2g2(y	2g2(y	NUM
ejpam-5819	119	6	)	)	PUNCT
ejpam-5819	119	7	)	)	PUNCT
ejpam-5819	120	1	+	+	CCONJ
ejpam-5819	120	2	λ4g2(y)(2−	λ4g2(y)(2−	PROPN
ejpam-5819	120	3	3g2(y	3g2(y	NUM
ejpam-5819	120	4	)	)	PUNCT
ejpam-5819	120	5	)	)	PUNCT
ejpam-5819	120	6	]	]	PUNCT
ejpam-5819	120	7	,	,	PUNCT
ejpam-5819	120	8	(	(	PUNCT
ejpam-5819	120	9	12	12	NUM
ejpam-5819	120	10	)	)	PUNCT
ejpam-5819	120	11	where	where	SCONJ
ejpam-5819	120	12	δ(x	δ(x	PROPN
ejpam-5819	120	13	,	,	PUNCT
ejpam-5819	120	14	y	y	NOUN
ejpam-5819	120	15	)	)	PUNCT
ejpam-5819	120	16	=	=	PUNCT
ejpam-5819	121	1	[	[	X
ejpam-5819	121	2	1	1	NUM
ejpam-5819	121	3	+	+	X
ejpam-5819	121	4	λ1	λ1	ADJ
ejpam-5819	121	5	+	+	NUM
ejpam-5819	121	6	λ3	λ3	PROPN
ejpam-5819	121	7	+	+	NOUN
ejpam-5819	121	8	λ5	λ5	NOUN
ejpam-5819	121	9	+	+	CCONJ
ejpam-5819	121	10	2(λ2	2(λ2	NUM
ejpam-5819	121	11	−	−	NOUN
ejpam-5819	121	12	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	121	13	3(λ2	3(λ2	NUM
ejpam-5819	122	1	+	+	CCONJ
ejpam-5819	122	2	λ5)g	λ5)g	PROPN
ejpam-5819	122	3	2	2	NUM
ejpam-5819	122	4	1(x	1(x	NUM
ejpam-5819	122	5	)	)	PUNCT
ejpam-5819	123	1	+	+	CCONJ
ejpam-5819	124	1	2(λ4	2(λ4	NUM
ejpam-5819	124	2	−	−	NUM
ejpam-5819	124	3	λ3)g2(y	λ3)g2(y	NOUN
ejpam-5819	124	4	)	)	PUNCT
ejpam-5819	124	5	−	−	PROPN
ejpam-5819	125	1	3(λ4	3(λ4	PROPN
ejpam-5819	126	1	+	+	NUM
ejpam-5819	126	2	λ5)g	λ5)g	PROPN
ejpam-5819	126	3	2	2	NUM
ejpam-5819	126	4	2(y	2(y	NUM
ejpam-5819	126	5	)	)	PUNCT
ejpam-5819	127	1	+	+	CCONJ
ejpam-5819	127	2	9λ5	9λ5	NUM
ejpam-5819	127	3	g	g	NOUN
ejpam-5819	127	4	2	2	NUM
ejpam-5819	127	5	1(x)g	1(x)g	NOUN
ejpam-5819	127	6	2	2	NUM
ejpam-5819	127	7	2(y	2(y	NUM
ejpam-5819	127	8	)	)	PUNCT
ejpam-5819	127	9	]	]	PUNCT
ejpam-5819	127	10	.	.	PUNCT
ejpam-5819	128	1	a.	a.	NOUN
ejpam-5819	128	2	a.	a.	PROPN
ejpam-5819	128	3	alsalafi	alsalafi	PROPN
ejpam-5819	128	4	,	,	PUNCT
ejpam-5819	128	5	s.	s.	PROPN
ejpam-5819	128	6	h.	h.	PROPN
ejpam-5819	128	7	shahbaz	shahbaz	PROPN
ejpam-5819	128	8	,	,	PUNCT
ejpam-5819	128	9	l.	l.	PROPN
ejpam-5819	128	10	i.	i.	PROPN
ejpam-5819	128	11	al	al	PROPN
ejpam-5819	128	12	-	-	PUNCT
ejpam-5819	128	13	turk	turk	PROPN
ejpam-5819	128	14	/	/	SYM
ejpam-5819	128	15	eur	eur	PROPN
ejpam-5819	128	16	.	.	PUNCT
ejpam-5819	129	1	j.	j.	PROPN
ejpam-5819	129	2	pure	pure	PROPN
ejpam-5819	129	3	appl	appl	PROPN
ejpam-5819	129	4	.	.	PROPN
ejpam-5819	129	5	math	math	PROPN
ejpam-5819	129	6	,	,	PUNCT
ejpam-5819	129	7	18	18	NUM
ejpam-5819	129	8	(	(	PUNCT
ejpam-5819	129	9	2	2	NUM
ejpam-5819	129	10	)	)	PUNCT
ejpam-5819	129	11	(	(	PUNCT
ejpam-5819	129	12	2025	2025	NUM
ejpam-5819	129	13	)	)	PUNCT
ejpam-5819	129	14	,	,	PUNCT
ejpam-5819	129	15	5819	5819	NUM
ejpam-5819	129	16	6	6	NUM
ejpam-5819	129	17	of	of	ADP
ejpam-5819	129	18	28	28	NUM
ejpam-5819	129	19	again	again	ADV
ejpam-5819	129	20	,	,	PUNCT
ejpam-5819	129	21	the	the	DET
ejpam-5819	129	22	conditional	conditional	ADJ
ejpam-5819	129	23	pdf	pdf	NOUN
ejpam-5819	129	24	of	of	ADP
ejpam-5819	129	25	y	y	PROPN
ejpam-5819	129	26	given	give	VERB
ejpam-5819	129	27	x	x	PUNCT
ejpam-5819	129	28	=	=	PUNCT
ejpam-5819	129	29	x	x	VERB
ejpam-5819	129	30	is	be	AUX
ejpam-5819	129	31	obtained	obtain	VERB
ejpam-5819	129	32	by	by	ADP
ejpam-5819	129	33	using	use	VERB
ejpam-5819	129	34	fy	fy	PROPN
ejpam-5819	129	35	|x(y	|x(y	PROPN
ejpam-5819	129	36	,	,	PUNCT
ejpam-5819	129	37	x	x	NOUN
ejpam-5819	129	38	)	)	PUNCT
ejpam-5819	129	39	=	=	SYM
ejpam-5819	129	40	fx	fx	PROPN
ejpam-5819	129	41	,	,	PUNCT
ejpam-5819	129	42	y	y	PROPN
ejpam-5819	129	43	(	(	PUNCT
ejpam-5819	129	44	x	x	PROPN
ejpam-5819	129	45	,	,	PUNCT
ejpam-5819	129	46	y	y	NOUN
ejpam-5819	129	47	)	)	PUNCT
ejpam-5819	129	48	fx(x	fx(x	ADV
ejpam-5819	129	49	)	)	PUNCT
ejpam-5819	129	50	,	,	PUNCT
ejpam-5819	129	51	using	use	VERB
ejpam-5819	129	52	the	the	DET
ejpam-5819	129	53	joint	joint	ADJ
ejpam-5819	129	54	density	density	NOUN
ejpam-5819	129	55	function	function	NOUN
ejpam-5819	129	56	of	of	ADP
ejpam-5819	129	57	x	x	PUNCT
ejpam-5819	129	58	and	and	CCONJ
ejpam-5819	129	59	y	y	PROPN
ejpam-5819	129	60	and	and	CCONJ
ejpam-5819	129	61	given	give	VERB
ejpam-5819	129	62	in	in	ADP
ejpam-5819	129	63	(	(	PUNCT
ejpam-5819	129	64	7	7	NUM
ejpam-5819	129	65	)	)	PUNCT
ejpam-5819	129	66	the	the	DET
ejpam-5819	129	67	marginal	marginal	ADJ
ejpam-5819	129	68	density	density	NOUN
ejpam-5819	129	69	function	function	NOUN
ejpam-5819	129	70	of	of	ADP
ejpam-5819	129	71	x	x	PUNCT
ejpam-5819	129	72	given	give	VERB
ejpam-5819	129	73	in	in	ADP
ejpam-5819	129	74	(	(	PUNCT
ejpam-5819	129	75	10	10	NUM
ejpam-5819	129	76	)	)	PUNCT
ejpam-5819	129	77	,	,	PUNCT
ejpam-5819	129	78	the	the	DET
ejpam-5819	129	79	conditional	conditional	ADJ
ejpam-5819	129	80	density	density	NOUN
ejpam-5819	129	81	function	function	NOUN
ejpam-5819	129	82	of	of	ADP
ejpam-5819	129	83	y	y	PROPN
ejpam-5819	129	84	given	give	VERB
ejpam-5819	129	85	x	x	PUNCT
ejpam-5819	129	86	=	=	PUNCT
ejpam-5819	129	87	x	x	X
ejpam-5819	129	88	is	be	AUX
ejpam-5819	129	89	:	:	PUNCT
ejpam-5819	129	90	fy	fy	PROPN
ejpam-5819	129	91	|x(y	|x(y	PROPN
ejpam-5819	129	92	,	,	PUNCT
ejpam-5819	129	93	x	x	NOUN
ejpam-5819	129	94	)	)	PUNCT
ejpam-5819	129	95	=	=	SYM
ejpam-5819	129	96	g2(y)δ(x	g2(y)δ(x	NOUN
ejpam-5819	129	97	,	,	PUNCT
ejpam-5819	129	98	y	y	NOUN
ejpam-5819	129	99	)	)	PUNCT
ejpam-5819	130	1	[	[	X
ejpam-5819	130	2	1	1	NUM
ejpam-5819	130	3	+	+	NUM
ejpam-5819	130	4	λ1(1−	λ1(1−	NOUN
ejpam-5819	130	5	2g1(x	2g1(x	NUM
ejpam-5819	130	6	)	)	PUNCT
ejpam-5819	130	7	)	)	PUNCT
ejpam-5819	131	1	+	+	CCONJ
ejpam-5819	131	2	λ2g1(x)(2−	λ2g1(x)(2−	PROPN
ejpam-5819	131	3	3g1(x	3g1(x	NUM
ejpam-5819	131	4	)	)	PUNCT
ejpam-5819	131	5	)	)	PUNCT
ejpam-5819	131	6	]	]	PUNCT
ejpam-5819	131	7	.	.	PUNCT
ejpam-5819	132	1	(	(	PUNCT
ejpam-5819	132	2	13	13	X
ejpam-5819	132	3	)	)	PUNCT
ejpam-5819	132	4	conditional	conditional	ADJ
ejpam-5819	132	5	distributions	distribution	NOUN
ejpam-5819	132	6	can	can	AUX
ejpam-5819	132	7	be	be	AUX
ejpam-5819	132	8	studied	study	VERB
ejpam-5819	132	9	for	for	ADP
ejpam-5819	132	10	any	any	DET
ejpam-5819	132	11	baseline	baseline	ADJ
ejpam-5819	132	12	distribution	distribution	NOUN
ejpam-5819	132	13	.	.	PUNCT
ejpam-5819	133	1	in	in	ADP
ejpam-5819	133	2	the	the	DET
ejpam-5819	133	3	next	next	ADJ
ejpam-5819	133	4	section	section	NOUN
ejpam-5819	133	5	,	,	PUNCT
ejpam-5819	133	6	some	some	DET
ejpam-5819	133	7	properties	property	NOUN
ejpam-5819	133	8	of	of	ADP
ejpam-5819	133	9	the	the	DET
ejpam-5819	133	10	proposed	propose	VERB
ejpam-5819	133	11	bivariate	bivariate	ADJ
ejpam-5819	133	12	cubic	cubic	ADJ
ejpam-5819	133	13	transmuted	transmute	VERB
ejpam-5819	133	14	family	family	NOUN
ejpam-5819	133	15	of	of	ADP
ejpam-5819	133	16	distributions	distribution	NOUN
ejpam-5819	133	17	will	will	AUX
ejpam-5819	133	18	be	be	AUX
ejpam-5819	133	19	discussed	discuss	VERB
ejpam-5819	133	20	.	.	PUNCT
ejpam-5819	134	1	4	4	X
ejpam-5819	134	2	.	.	X
ejpam-5819	134	3	statistical	statistical	ADJ
ejpam-5819	134	4	properties	property	NOUN
ejpam-5819	134	5	some	some	DET
ejpam-5819	134	6	useful	useful	ADJ
ejpam-5819	134	7	properties	property	NOUN
ejpam-5819	134	8	will	will	AUX
ejpam-5819	134	9	be	be	AUX
ejpam-5819	134	10	included	include	VERB
ejpam-5819	134	11	in	in	ADP
ejpam-5819	134	12	the	the	DET
ejpam-5819	134	13	following	follow	VERB
ejpam-5819	134	14	subsection	subsection	NOUN
ejpam-5819	134	15	.	.	PUNCT
ejpam-5819	135	1	4.1	4.1	NUM
ejpam-5819	135	2	.	.	PUNCT
ejpam-5819	136	1	the	the	DET
ejpam-5819	136	2	product	product	NOUN
ejpam-5819	136	3	and	and	CCONJ
ejpam-5819	136	4	ratio	ratio	NOUN
ejpam-5819	136	5	moments	moment	NOUN
ejpam-5819	136	6	the	the	DET
ejpam-5819	136	7	(	(	PUNCT
ejpam-5819	136	8	r	r	NOUN
ejpam-5819	136	9	,	,	PUNCT
ejpam-5819	136	10	s)th	s)th	PROPN
ejpam-5819	136	11	product	product	NOUN
ejpam-5819	136	12	moment	moment	NOUN
ejpam-5819	136	13	of	of	ADP
ejpam-5819	136	14	the	the	DET
ejpam-5819	136	15	random	random	ADJ
ejpam-5819	136	16	variables	variable	NOUN
ejpam-5819	136	17	x	x	PUNCT
ejpam-5819	136	18	and	and	CCONJ
ejpam-5819	136	19	y	y	PROPN
ejpam-5819	136	20	,	,	PUNCT
ejpam-5819	136	21	following	follow	VERB
ejpam-5819	136	22	bivariate	bivariate	ADJ
ejpam-5819	136	23	cubic	cubic	ADJ
ejpam-5819	136	24	transmuted	transmute	VERB
ejpam-5819	136	25	families	family	NOUN
ejpam-5819	136	26	of	of	ADP
ejpam-5819	136	27	distributions	distribution	NOUN
ejpam-5819	136	28	are	be	AUX
ejpam-5819	136	29	obtained	obtain	VERB
ejpam-5819	136	30	in	in	ADP
ejpam-5819	136	31	the	the	DET
ejpam-5819	136	32	next	next	ADJ
ejpam-5819	136	33	theorem	theorem	PROPN
ejpam-5819	136	34	.	.	PUNCT
ejpam-5819	137	1	theorem	theorem	NOUN
ejpam-5819	137	2	1	1	NUM
ejpam-5819	137	3	.	.	PUNCT
ejpam-5819	138	1	let	let	VERB
ejpam-5819	138	2	x	x	PRON
ejpam-5819	138	3	and	and	CCONJ
ejpam-5819	138	4	y	y	PROPN
ejpam-5819	138	5	have	have	VERB
ejpam-5819	138	6	joint	joint	ADJ
ejpam-5819	138	7	bivariate	bivariate	ADJ
ejpam-5819	138	8	cubic	cubic	ADJ
ejpam-5819	138	9	transmuted	transmute	VERB
ejpam-5819	138	10	families	family	NOUN
ejpam-5819	138	11	of	of	ADP
ejpam-5819	138	12	distributions	distribution	NOUN
ejpam-5819	138	13	then	then	ADV
ejpam-5819	138	14	the	the	DET
ejpam-5819	138	15	(	(	PUNCT
ejpam-5819	138	16	r	r	NOUN
ejpam-5819	138	17	,	,	PUNCT
ejpam-5819	138	18	s)th	s)th	PROPN
ejpam-5819	138	19	product	product	NOUN
ejpam-5819	138	20	moment	moment	NOUN
ejpam-5819	138	21	of	of	ADP
ejpam-5819	138	22	x	x	PUNCT
ejpam-5819	138	23	and	and	CCONJ
ejpam-5819	138	24	y	y	PROPN
ejpam-5819	138	25	is	be	AUX
ejpam-5819	138	26	µr	µr	ADP
ejpam-5819	138	27	,	,	PUNCT
ejpam-5819	138	28	s	s	NOUN
ejpam-5819	138	29	x	x	NOUN
ejpam-5819	138	30	,	,	PUNCT
ejpam-5819	138	31	y	y	PROPN
ejpam-5819	138	32	=	=	PUNCT
ejpam-5819	138	33	e(xry	e(xry	PROPN
ejpam-5819	138	34	s	s	PART
ejpam-5819	138	35	)	)	PUNCT
ejpam-5819	138	36	=	=	SYM
ejpam-5819	139	1	ηµr	ηµr	VERB
ejpam-5819	139	2	xµ	xµ	PROPN
ejpam-5819	139	3	s	s	PROPN
ejpam-5819	139	4	y	y	PROPN
ejpam-5819	139	5	+	+	CCONJ
ejpam-5819	139	6	δ2µ	δ2µ	VERB
ejpam-5819	140	1	r	r	NOUN
ejpam-5819	140	2	x(2:2)µ	x(2:2)µ	PROPN
ejpam-5819	140	3	s	s	X
ejpam-5819	140	4	y	y	NOUN
ejpam-5819	140	5	−	−	PROPN
ejpam-5819	140	6	δ6µ	δ6µ	NOUN
ejpam-5819	140	7	r	r	NOUN
ejpam-5819	140	8	x(3:3)µ	x(3:3)µ	NOUN
ejpam-5819	140	9	s	s	NOUN
ejpam-5819	140	10	y	y	PROPN
ejpam-5819	140	11	+	+	CCONJ
ejpam-5819	140	12	δ4µ	δ4µ	NOUN
ejpam-5819	140	13	r	r	NOUN
ejpam-5819	140	14	xµ	xµ	PROPN
ejpam-5819	140	15	s	s	PROPN
ejpam-5819	140	16	y(2:2	y(2:2	PROPN
ejpam-5819	140	17	)	)	PUNCT
ejpam-5819	140	18	−	−	PUNCT
ejpam-5819	141	1	δ7µ	δ7µ	X
ejpam-5819	141	2	r	r	NOUN
ejpam-5819	141	3	xµ	xµ	ADJ
ejpam-5819	141	4	s	s	PART
ejpam-5819	141	5	y(3:3	y(3:3	NOUN
ejpam-5819	141	6	)	)	PUNCT
ejpam-5819	142	1	+	+	CCONJ
ejpam-5819	143	1	λ5µ	λ5µ	PUNCT
ejpam-5819	143	2	r	r	NOUN
ejpam-5819	143	3	x(3:3)µ	x(3:3)µ	NOUN
ejpam-5819	143	4	s	s	NOUN
ejpam-5819	143	5	y(3:3	y(3:3	PROPN
ejpam-5819	143	6	)	)	PUNCT
ejpam-5819	143	7	.	.	PUNCT
ejpam-5819	144	1	where	where	SCONJ
ejpam-5819	144	2	η	η	X
ejpam-5819	144	3	=	=	X
ejpam-5819	144	4	(	(	PUNCT
ejpam-5819	144	5	1+λ1+λ3+λ5	1+λ1+λ3+λ5	NUM
ejpam-5819	144	6	)	)	PUNCT
ejpam-5819	144	7	,	,	PUNCT
ejpam-5819	144	8	δ2	δ2	VERB
ejpam-5819	144	9	=	=	SYM
ejpam-5819	144	10	(	(	PUNCT
ejpam-5819	144	11	λ2−λ1	λ2−λ1	NUM
ejpam-5819	144	12	)	)	PUNCT
ejpam-5819	144	13	,	,	PUNCT
ejpam-5819	144	14	δ4	δ4	NOUN
ejpam-5819	144	15	=	=	SYM
ejpam-5819	144	16	(	(	PUNCT
ejpam-5819	144	17	λ4−λ3	λ4−λ3	ADJ
ejpam-5819	144	18	)	)	PUNCT
ejpam-5819	144	19	,	,	PUNCT
ejpam-5819	144	20	δ6	δ6	NOUN
ejpam-5819	144	21	=	=	SYM
ejpam-5819	144	22	(	(	PUNCT
ejpam-5819	144	23	λ2+λ5	λ2+λ5	PROPN
ejpam-5819	144	24	)	)	PUNCT
ejpam-5819	144	25	,	,	PUNCT
ejpam-5819	144	26	δ7	δ7	NOUN
ejpam-5819	144	27	=	=	SYM
ejpam-5819	144	28	(	(	PUNCT
ejpam-5819	144	29	λ4+λ5	λ4+λ5	NOUN
ejpam-5819	144	30	)	)	PUNCT
ejpam-5819	144	31	,	,	PUNCT
ejpam-5819	144	32	µr	µr	ADP
ejpam-5819	144	33	,	,	PUNCT
ejpam-5819	144	34	s	s	NOUN
ejpam-5819	144	35	x	x	NOUN
ejpam-5819	144	36	,	,	PUNCT
ejpam-5819	144	37	y	y	PROPN
ejpam-5819	144	38	represents	represent	VERB
ejpam-5819	144	39	the	the	DET
ejpam-5819	144	40	joint	joint	ADJ
ejpam-5819	144	41	raw	raw	ADJ
ejpam-5819	144	42	moment	moment	NOUN
ejpam-5819	144	43	of	of	ADP
ejpam-5819	144	44	the	the	DET
ejpam-5819	144	45	random	random	ADJ
ejpam-5819	144	46	variables	variable	NOUN
ejpam-5819	144	47	x	x	PUNCT
ejpam-5819	144	48	and	and	CCONJ
ejpam-5819	144	49	y	y	PROPN
ejpam-5819	144	50	,	,	PUNCT
ejpam-5819	144	51	µs	µs	ADP
ejpam-5819	144	52	y(2:2	y(2:2	PROPN
ejpam-5819	144	53	)	)	PUNCT
ejpam-5819	144	54	,	,	PUNCT
ejpam-5819	144	55	µ	µ	X
ejpam-5819	144	56	s	s	X
ejpam-5819	144	57	y(3:3	y(3:3	NOUN
ejpam-5819	144	58	)	)	PUNCT
ejpam-5819	144	59	are	be	AUX
ejpam-5819	144	60	the	the	DET
ejpam-5819	144	61	sth	sth	PROPN
ejpam-5819	144	62	moment	moment	NOUN
ejpam-5819	144	63	of	of	ADP
ejpam-5819	144	64	larger	large	ADJ
ejpam-5819	144	65	observation	observation	NOUN
ejpam-5819	144	66	in	in	ADP
ejpam-5819	144	67	sample	sample	NOUN
ejpam-5819	144	68	of	of	ADP
ejpam-5819	144	69	size	size	NOUN
ejpam-5819	144	70	2	2	NUM
ejpam-5819	144	71	and	and	CCONJ
ejpam-5819	144	72	3	3	NUM
ejpam-5819	144	73	from	from	ADP
ejpam-5819	144	74	g2(y	g2(y	PROPN
ejpam-5819	144	75	)	)	PUNCT
ejpam-5819	144	76	,	,	PUNCT
ejpam-5819	144	77	µ	µ	PRON
ejpam-5819	144	78	r	r	NOUN
ejpam-5819	144	79	x(2:2	x(2:2	PROPN
ejpam-5819	144	80	)	)	PUNCT
ejpam-5819	144	81	,	,	PUNCT
ejpam-5819	144	82	µ	µ	PRON
ejpam-5819	144	83	r	r	NOUN
ejpam-5819	144	84	x(3:3	x(3:3	X
ejpam-5819	144	85	)	)	PUNCT
ejpam-5819	144	86	are	be	AUX
ejpam-5819	144	87	the	the	DET
ejpam-5819	144	88	rth	rth	PROPN
ejpam-5819	144	89	moment	moment	NOUN
ejpam-5819	144	90	of	of	ADP
ejpam-5819	144	91	larger	large	ADJ
ejpam-5819	144	92	observation	observation	NOUN
ejpam-5819	144	93	in	in	ADP
ejpam-5819	144	94	sample	sample	NOUN
ejpam-5819	144	95	of	of	ADP
ejpam-5819	144	96	size	size	NOUN
ejpam-5819	144	97	2	2	NUM
ejpam-5819	144	98	and	and	CCONJ
ejpam-5819	144	99	3	3	NUM
ejpam-5819	144	100	from	from	ADP
ejpam-5819	144	101	g2(x	g2(x	PROPN
ejpam-5819	144	102	)	)	PUNCT
ejpam-5819	144	103	.	.	PUNCT
ejpam-5819	145	1	proof	proof	NOUN
ejpam-5819	145	2	.	.	PUNCT
ejpam-5819	146	1	the	the	DET
ejpam-5819	146	2	product	product	NOUN
ejpam-5819	146	3	moments	moment	NOUN
ejpam-5819	146	4	are	be	AUX
ejpam-5819	146	5	defined	define	VERB
ejpam-5819	146	6	as	as	ADP
ejpam-5819	146	7	:	:	PUNCT
ejpam-5819	146	8	µr	µr	ADP
ejpam-5819	146	9	,	,	PUNCT
ejpam-5819	146	10	s	s	NOUN
ejpam-5819	146	11	x	x	NOUN
ejpam-5819	146	12	,	,	PUNCT
ejpam-5819	146	13	y	y	PROPN
ejpam-5819	146	14	=	=	PUNCT
ejpam-5819	146	15	e(xry	e(xry	PROPN
ejpam-5819	146	16	s	s	PART
ejpam-5819	146	17	)	)	PUNCT
ejpam-5819	146	18	=	=	SYM
ejpam-5819	147	1	∫	∫	PROPN
ejpam-5819	147	2	∞	∞	PROPN
ejpam-5819	148	1	−∞	−∞	X
ejpam-5819	148	2	∫	∫	PROPN
ejpam-5819	148	3	∞	∞	PROPN
ejpam-5819	148	4	−∞	−∞	ADP
ejpam-5819	148	5	xrysfx	xrysfx	PROPN
ejpam-5819	148	6	,	,	PUNCT
ejpam-5819	148	7	y	y	PROPN
ejpam-5819	148	8	(	(	PUNCT
ejpam-5819	148	9	x	x	PROPN
ejpam-5819	148	10	,	,	PUNCT
ejpam-5819	148	11	y)dxdy	y)dxdy	PROPN
ejpam-5819	148	12	.	.	PUNCT
ejpam-5819	149	1	now	now	ADV
ejpam-5819	149	2	using	use	VERB
ejpam-5819	149	3	the	the	DET
ejpam-5819	149	4	bivariate	bivariate	ADJ
ejpam-5819	149	5	cubic	cubic	ADJ
ejpam-5819	149	6	transmuted	transmute	VERB
ejpam-5819	149	7	family	family	NOUN
ejpam-5819	149	8	pdf	pdf	NOUN
ejpam-5819	149	9	from	from	ADP
ejpam-5819	149	10	(	(	PUNCT
ejpam-5819	149	11	7	7	NUM
ejpam-5819	149	12	)	)	PUNCT
ejpam-5819	149	13	,	,	PUNCT
ejpam-5819	149	14	the	the	DET
ejpam-5819	149	15	product	product	NOUN
ejpam-5819	149	16	moments	moment	VERB
ejpam-5819	149	17	for	for	ADP
ejpam-5819	149	18	the	the	DET
ejpam-5819	149	19	bivariate	bivariate	ADJ
ejpam-5819	149	20	cubic	cubic	ADJ
ejpam-5819	149	21	transmuted	transmute	VERB
ejpam-5819	149	22	family	family	NOUN
ejpam-5819	149	23	of	of	ADP
ejpam-5819	149	24	distributions	distribution	NOUN
ejpam-5819	149	25	are	be	AUX
ejpam-5819	149	26	written	write	VERB
ejpam-5819	149	27	as	as	ADP
ejpam-5819	149	28	e(xry	e(xry	PROPN
ejpam-5819	149	29	s	s	PART
ejpam-5819	149	30	)	)	PUNCT
ejpam-5819	149	31	=	=	SYM
ejpam-5819	150	1	(	(	PUNCT
ejpam-5819	150	2	1	1	NUM
ejpam-5819	150	3	+	+	X
ejpam-5819	150	4	λ1	λ1	ADJ
ejpam-5819	150	5	+	+	CCONJ
ejpam-5819	150	6	λ3	λ3	PROPN
ejpam-5819	150	7	+	+	CCONJ
ejpam-5819	150	8	λ5)µ	λ5)µ	ADJ
ejpam-5819	150	9	r	r	NOUN
ejpam-5819	150	10	xµ	xµ	PROPN
ejpam-5819	150	11	s	s	PROPN
ejpam-5819	150	12	y	y	NOUN
ejpam-5819	150	13	+	+	CCONJ
ejpam-5819	150	14	(	(	PUNCT
ejpam-5819	150	15	λ2	λ2	NOUN
ejpam-5819	150	16	−	−	NOUN
ejpam-5819	150	17	λ1)µ	λ1)µ	NOUN
ejpam-5819	150	18	r	r	NOUN
ejpam-5819	150	19	x(2:2)µ	x(2:2)µ	PROPN
ejpam-5819	150	20	s	s	X
ejpam-5819	150	21	y	y	PROPN
ejpam-5819	150	22	−	−	PROPN
ejpam-5819	150	23	(	(	PUNCT
ejpam-5819	150	24	λ2	λ2	NOUN
ejpam-5819	150	25	+	+	CCONJ
ejpam-5819	150	26	λ5)µ	λ5)µ	ADJ
ejpam-5819	150	27	r	r	NOUN
ejpam-5819	150	28	x(3:3)µ	x(3:3)µ	PROPN
ejpam-5819	150	29	s	s	NOUN
ejpam-5819	150	30	y	y	PROPN
ejpam-5819	150	31	+	+	CCONJ
ejpam-5819	150	32	(	(	PUNCT
ejpam-5819	150	33	λ4	λ4	ADJ
ejpam-5819	150	34	−	−	PROPN
ejpam-5819	150	35	λ3)µ	λ3)µ	NOUN
ejpam-5819	150	36	r	r	NOUN
ejpam-5819	150	37	xµ	xµ	PROPN
ejpam-5819	150	38	s	s	PROPN
ejpam-5819	150	39	y(2:2	y(2:2	PROPN
ejpam-5819	150	40	)	)	PUNCT
ejpam-5819	150	41	−	−	PROPN
ejpam-5819	151	1	(	(	PUNCT
ejpam-5819	151	2	λ4	λ4	PROPN
ejpam-5819	151	3	+	+	CCONJ
ejpam-5819	151	4	λ5)µ	λ5)µ	ADJ
ejpam-5819	151	5	r	r	NOUN
ejpam-5819	151	6	xµ	xµ	PROPN
ejpam-5819	151	7	s	s	PART
ejpam-5819	151	8	y(3:3	y(3:3	NOUN
ejpam-5819	151	9	)	)	PUNCT
ejpam-5819	152	1	+	+	CCONJ
ejpam-5819	153	1	λ5µ	λ5µ	PUNCT
ejpam-5819	153	2	r	r	NOUN
ejpam-5819	153	3	x(3:3)µ	x(3:3)µ	NOUN
ejpam-5819	153	4	s	s	NOUN
ejpam-5819	153	5	y(3:3	y(3:3	PROPN
ejpam-5819	153	6	)	)	PUNCT
ejpam-5819	153	7	.	.	PUNCT
ejpam-5819	154	1	which	which	PRON
ejpam-5819	154	2	completes	complete	VERB
ejpam-5819	154	3	the	the	DET
ejpam-5819	154	4	proof	proof	NOUN
ejpam-5819	154	5	.	.	PUNCT
ejpam-5819	155	1	a.	a.	NOUN
ejpam-5819	155	2	a.	a.	PROPN
ejpam-5819	155	3	alsalafi	alsalafi	PROPN
ejpam-5819	155	4	,	,	PUNCT
ejpam-5819	155	5	s.	s.	PROPN
ejpam-5819	155	6	h.	h.	PROPN
ejpam-5819	155	7	shahbaz	shahbaz	PROPN
ejpam-5819	155	8	,	,	PUNCT
ejpam-5819	155	9	l.	l.	PROPN
ejpam-5819	155	10	i.	i.	PROPN
ejpam-5819	155	11	al	al	PROPN
ejpam-5819	155	12	-	-	PUNCT
ejpam-5819	155	13	turk	turk	PROPN
ejpam-5819	155	14	/	/	SYM
ejpam-5819	155	15	eur	eur	PROPN
ejpam-5819	155	16	.	.	PUNCT
ejpam-5819	156	1	j.	j.	PROPN
ejpam-5819	156	2	pure	pure	PROPN
ejpam-5819	156	3	appl	appl	PROPN
ejpam-5819	156	4	.	.	PROPN
ejpam-5819	156	5	math	math	PROPN
ejpam-5819	156	6	,	,	PUNCT
ejpam-5819	156	7	18	18	NUM
ejpam-5819	156	8	(	(	PUNCT
ejpam-5819	156	9	2	2	NUM
ejpam-5819	156	10	)	)	PUNCT
ejpam-5819	156	11	(	(	PUNCT
ejpam-5819	156	12	2025	2025	NUM
ejpam-5819	156	13	)	)	PUNCT
ejpam-5819	156	14	,	,	PUNCT
ejpam-5819	156	15	5819	5819	NUM
ejpam-5819	156	16	7	7	NUM
ejpam-5819	156	17	of	of	ADP
ejpam-5819	156	18	28	28	NUM
ejpam-5819	156	19	the	the	DET
ejpam-5819	156	20	moment	moment	NOUN
ejpam-5819	156	21	of	of	ADP
ejpam-5819	156	22	the	the	DET
ejpam-5819	156	23	(	(	PUNCT
ejpam-5819	156	24	r	r	NOUN
ejpam-5819	156	25	,	,	PUNCT
ejpam-5819	156	26	s)th	s)th	PROPN
ejpam-5819	156	27	ratio	ratio	NOUN
ejpam-5819	156	28	of	of	ADP
ejpam-5819	156	29	the	the	DET
ejpam-5819	156	30	random	random	ADJ
ejpam-5819	156	31	variables	variable	NOUN
ejpam-5819	156	32	x	x	PUNCT
ejpam-5819	156	33	and	and	CCONJ
ejpam-5819	156	34	y	y	PROPN
ejpam-5819	156	35	is	be	AUX
ejpam-5819	156	36	obtained	obtain	VERB
ejpam-5819	156	37	in	in	ADP
ejpam-5819	156	38	the	the	DET
ejpam-5819	156	39	following	following	NOUN
ejpam-5819	156	40	.	.	PUNCT
ejpam-5819	157	1	result	result	VERB
ejpam-5819	157	2	.	.	PUNCT
ejpam-5819	158	1	let	let	VERB
ejpam-5819	158	2	x	x	PRON
ejpam-5819	158	3	and	and	CCONJ
ejpam-5819	158	4	y	y	PROPN
ejpam-5819	158	5	follow	follow	VERB
ejpam-5819	158	6	the	the	DET
ejpam-5819	158	7	bivariate	bivariate	ADJ
ejpam-5819	158	8	cubic	cubic	ADJ
ejpam-5819	158	9	transmuted	transmute	VERB
ejpam-5819	158	10	family	family	NOUN
ejpam-5819	158	11	of	of	ADP
ejpam-5819	158	12	distribution	distribution	NOUN
ejpam-5819	158	13	the	the	DET
ejpam-5819	158	14	(	(	PUNCT
ejpam-5819	158	15	r	r	NOUN
ejpam-5819	158	16	,	,	PUNCT
ejpam-5819	158	17	s)th	s)th	PROPN
ejpam-5819	158	18	ratio	ratio	NOUN
ejpam-5819	158	19	moments	moment	NOUN
ejpam-5819	158	20	of	of	ADP
ejpam-5819	158	21	the	the	DET
ejpam-5819	158	22	random	random	ADJ
ejpam-5819	158	23	variables	variable	NOUN
ejpam-5819	158	24	x	x	PUNCT
ejpam-5819	158	25	and	and	CCONJ
ejpam-5819	158	26	y	y	PROPN
ejpam-5819	158	27	is	be	AUX
ejpam-5819	158	28	µr,−s	µr,−s	PUNCT
ejpam-5819	158	29	x	x	NOUN
ejpam-5819	158	30	,	,	PUNCT
ejpam-5819	158	31	y	y	PROPN
ejpam-5819	158	32	=	=	SYM
ejpam-5819	158	33	e	e	PROPN
ejpam-5819	158	34	(	(	PUNCT
ejpam-5819	158	35	xr	xr	PROPN
ejpam-5819	158	36	y	y	PROPN
ejpam-5819	158	37	s	s	PART
ejpam-5819	158	38	)	)	PUNCT
ejpam-5819	159	1	=	=	SYM
ejpam-5819	159	2	ηµr	ηµr	VERB
ejpam-5819	159	3	xµ	xµ	PROPN
ejpam-5819	159	4	−s	−s	NOUN
ejpam-5819	159	5	y	y	PROPN
ejpam-5819	160	1	+	+	CCONJ
ejpam-5819	161	1	(	(	PUNCT
ejpam-5819	161	2	λ2	λ2	NOUN
ejpam-5819	161	3	−	−	NOUN
ejpam-5819	161	4	λ1)µ	λ1)µ	ADJ
ejpam-5819	161	5	r	r	NOUN
ejpam-5819	161	6	x(2:2)µ	x(2:2)µ	PROPN
ejpam-5819	161	7	−s	−s	NOUN
ejpam-5819	161	8	y	y	PROPN
ejpam-5819	161	9	−	−	PROPN
ejpam-5819	161	10	(	(	PUNCT
ejpam-5819	161	11	λ2	λ2	NOUN
ejpam-5819	161	12	+	+	CCONJ
ejpam-5819	161	13	λ5)µ	λ5)µ	ADJ
ejpam-5819	161	14	r	r	PROPN
ejpam-5819	161	15	x(3:3)µ	x(3:3)µ	PROPN
ejpam-5819	161	16	−s	−s	NOUN
ejpam-5819	161	17	y	y	PROPN
ejpam-5819	162	1	+	+	CCONJ
ejpam-5819	162	2	(	(	PUNCT
ejpam-5819	162	3	λ4	λ4	ADJ
ejpam-5819	162	4	−	−	PROPN
ejpam-5819	162	5	λ3)µ	λ3)µ	NOUN
ejpam-5819	162	6	r	r	PROPN
ejpam-5819	162	7	xµ	xµ	PROPN
ejpam-5819	162	8	−s	−s	PROPN
ejpam-5819	162	9	y(2:2	y(2:2	PROPN
ejpam-5819	162	10	)	)	PUNCT
ejpam-5819	162	11	−	−	PROPN
ejpam-5819	163	1	(	(	PUNCT
ejpam-5819	163	2	λ4	λ4	PROPN
ejpam-5819	163	3	+	+	CCONJ
ejpam-5819	163	4	λ5)µ	λ5)µ	ADJ
ejpam-5819	163	5	r	r	NOUN
ejpam-5819	163	6	xµ	xµ	PROPN
ejpam-5819	163	7	−s	−s	NOUN
ejpam-5819	163	8	y(3:3	y(3:3	NOUN
ejpam-5819	163	9	)	)	PUNCT
ejpam-5819	164	1	+	+	CCONJ
ejpam-5819	164	2	λ5µ	λ5µ	PUNCT
ejpam-5819	164	3	r	r	NOUN
ejpam-5819	164	4	x(3:3)µ	x(3:3)µ	PROPN
ejpam-5819	164	5	−s	−s	NOUN
ejpam-5819	164	6	y(3:3	y(3:3	PROPN
ejpam-5819	164	7	)	)	PUNCT
ejpam-5819	164	8	,	,	PUNCT
ejpam-5819	164	9	where	where	SCONJ
ejpam-5819	164	10	µ−s	µ−s	PROPN
ejpam-5819	164	11	y	y	PROPN
ejpam-5819	164	12	is	be	AUX
ejpam-5819	164	13	sth	sth	NOUN
ejpam-5819	164	14	negative	negative	ADJ
ejpam-5819	164	15	moment	moment	NOUN
ejpam-5819	164	16	of	of	ADP
ejpam-5819	164	17	y	y	PROPN
ejpam-5819	164	18	and	and	CCONJ
ejpam-5819	164	19	µ−s	µ−s	PROPN
ejpam-5819	164	20	y(2:2	y(2:2	PROPN
ejpam-5819	164	21	)	)	PUNCT
ejpam-5819	164	22	,	,	PUNCT
ejpam-5819	164	23	µ	µ	DET
ejpam-5819	164	24	−s	−s	NOUN
ejpam-5819	164	25	y(3:3	y(3:3	NOUN
ejpam-5819	164	26	)	)	PUNCT
ejpam-5819	164	27	are	be	AUX
ejpam-5819	164	28	sth	sth	NOUN
ejpam-5819	164	29	negative	negative	ADJ
ejpam-5819	164	30	moment	moment	NOUN
ejpam-5819	164	31	of	of	ADP
ejpam-5819	164	32	larger	large	ADJ
ejpam-5819	164	33	observation	observation	NOUN
ejpam-5819	164	34	in	in	ADP
ejpam-5819	164	35	a	a	DET
ejpam-5819	164	36	sample	sample	NOUN
ejpam-5819	164	37	of	of	ADP
ejpam-5819	164	38	size	size	NOUN
ejpam-5819	164	39	2	2	NUM
ejpam-5819	164	40	and	and	CCONJ
ejpam-5819	164	41	3	3	NUM
ejpam-5819	164	42	from	from	ADP
ejpam-5819	164	43	g2(y	g2(y	PROPN
ejpam-5819	164	44	)	)	PUNCT
ejpam-5819	164	45	.	.	PUNCT
ejpam-5819	165	1	4.2	4.2	NUM
ejpam-5819	165	2	.	.	PUNCT
ejpam-5819	166	1	the	the	DET
ejpam-5819	166	2	conditional	conditional	ADJ
ejpam-5819	166	3	moments	moment	NOUN
ejpam-5819	166	4	in	in	ADP
ejpam-5819	166	5	the	the	DET
ejpam-5819	166	6	following	following	NOUN
ejpam-5819	166	7	,	,	PUNCT
ejpam-5819	166	8	the	the	DET
ejpam-5819	166	9	conditional	conditional	ADJ
ejpam-5819	166	10	moments	moment	NOUN
ejpam-5819	166	11	are	be	AUX
ejpam-5819	166	12	derived	derive	VERB
ejpam-5819	166	13	for	for	ADP
ejpam-5819	166	14	the	the	DET
ejpam-5819	166	15	bivariate	bivariate	ADJ
ejpam-5819	166	16	cubic	cubic	ADJ
ejpam-5819	166	17	transmuted	transmute	VERB
ejpam-5819	166	18	family	family	NOUN
ejpam-5819	166	19	of	of	ADP
ejpam-5819	166	20	distributions	distribution	NOUN
ejpam-5819	166	21	.	.	PUNCT
ejpam-5819	167	1	the	the	DET
ejpam-5819	167	2	conditional	conditional	ADJ
ejpam-5819	167	3	moment	moment	NOUN
ejpam-5819	167	4	rth	rth	INTJ
ejpam-5819	167	5	of	of	ADP
ejpam-5819	167	6	x	x	PUNCT
ejpam-5819	167	7	given	give	VERB
ejpam-5819	167	8	y	y	PROPN
ejpam-5819	167	9	=	=	SYM
ejpam-5819	167	10	y	y	PROPN
ejpam-5819	167	11	is	be	AUX
ejpam-5819	167	12	obtained	obtain	VERB
ejpam-5819	167	13	in	in	ADP
ejpam-5819	167	14	the	the	DET
ejpam-5819	167	15	following	follow	VERB
ejpam-5819	167	16	theorem	theorem	PROPN
ejpam-5819	167	17	.	.	PUNCT
ejpam-5819	167	18	theorem	theorem	NOUN
ejpam-5819	167	19	2	2	NUM
ejpam-5819	167	20	.	.	PUNCT
ejpam-5819	168	1	let	let	VERB
ejpam-5819	168	2	x	x	PRON
ejpam-5819	168	3	and	and	CCONJ
ejpam-5819	168	4	y	y	PROPN
ejpam-5819	168	5	follow	follow	VERB
ejpam-5819	168	6	the	the	DET
ejpam-5819	168	7	bivariate	bivariate	ADJ
ejpam-5819	168	8	cubic	cubic	ADJ
ejpam-5819	168	9	transmuted	transmute	VERB
ejpam-5819	168	10	family	family	NOUN
ejpam-5819	168	11	of	of	ADP
ejpam-5819	168	12	distributions	distribution	NOUN
ejpam-5819	168	13	.	.	PUNCT
ejpam-5819	169	1	e(xr	e(xr	PROPN
ejpam-5819	169	2	/	/	SYM
ejpam-5819	169	3	y	y	PROPN
ejpam-5819	169	4	)	)	PUNCT
ejpam-5819	169	5	=	=	SYM
ejpam-5819	169	6	1	1	NUM
ejpam-5819	169	7	φ(y	φ(y	NOUN
ejpam-5819	169	8	)	)	PUNCT
ejpam-5819	170	1	[	[	X
ejpam-5819	170	2	(	(	PUNCT
ejpam-5819	170	3	η	η	PROPN
ejpam-5819	170	4	+	+	PROPN
ejpam-5819	170	5	2(λ4	2(λ4	NUM
ejpam-5819	170	6	−	−	NOUN
ejpam-5819	170	7	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	170	8	3(λ4	3(λ4	PROPN
ejpam-5819	170	9	+	+	NUM
ejpam-5819	170	10	λ5)g	λ5)g	NOUN
ejpam-5819	170	11	2	2	NUM
ejpam-5819	170	12	2(y))µ	2(y))µ	NUM
ejpam-5819	170	13	r	r	NOUN
ejpam-5819	170	14	x	x	NOUN
ejpam-5819	170	15	+	+	CCONJ
ejpam-5819	170	16	(	(	PUNCT
ejpam-5819	170	17	λ2	λ2	NOUN
ejpam-5819	170	18	−	−	NOUN
ejpam-5819	170	19	λ1)µ	λ1)µ	ADJ
ejpam-5819	170	20	r	r	NOUN
ejpam-5819	170	21	x(2:2	x(2:2	PROPN
ejpam-5819	170	22	)	)	PUNCT
ejpam-5819	170	23	−	−	PROPN
ejpam-5819	171	1	(	(	PUNCT
ejpam-5819	171	2	λ2	λ2	NOUN
ejpam-5819	171	3	+	+	CCONJ
ejpam-5819	171	4	λ5	λ5	NOUN
ejpam-5819	171	5	−	−	NOUN
ejpam-5819	171	6	3λ5	3λ5	NUM
ejpam-5819	171	7	g	g	NOUN
ejpam-5819	171	8	2	2	NUM
ejpam-5819	171	9	2(y))µ	2(y))µ	NUM
ejpam-5819	171	10	r	r	NOUN
ejpam-5819	171	11	x(3:3	x(3:3	NOUN
ejpam-5819	171	12	)	)	PUNCT
ejpam-5819	171	13	]	]	PUNCT
ejpam-5819	171	14	,	,	PUNCT
ejpam-5819	171	15	(	(	PUNCT
ejpam-5819	171	16	14	14	NUM
ejpam-5819	171	17	)	)	PUNCT
ejpam-5819	171	18	where	where	SCONJ
ejpam-5819	171	19	φ(y	φ(y	NOUN
ejpam-5819	171	20	)	)	PUNCT
ejpam-5819	171	21	=	=	PUNCT
ejpam-5819	172	1	(	(	PUNCT
ejpam-5819	172	2	1	1	NUM
ejpam-5819	172	3	+	+	CCONJ
ejpam-5819	172	4	λ3	λ3	PROPN
ejpam-5819	172	5	)	)	PUNCT
ejpam-5819	173	1	+	+	CCONJ
ejpam-5819	173	2	2(λ4	2(λ4	NUM
ejpam-5819	173	3	−	−	NOUN
ejpam-5819	173	4	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	174	1	3λ4	3λ4	NUM
ejpam-5819	174	2	g	g	PROPN
ejpam-5819	174	3	2	2	NUM
ejpam-5819	174	4	2(y	2(y	NUM
ejpam-5819	174	5	)	)	PUNCT
ejpam-5819	174	6	,	,	PUNCT
ejpam-5819	174	7	η	η	PROPN
ejpam-5819	174	8	=	=	PROPN
ejpam-5819	174	9	1+λ1+λ3+λ5	1+λ1+λ3+λ5	NUM
ejpam-5819	174	10	,	,	PUNCT
ejpam-5819	174	11	µr	µr	ADP
ejpam-5819	174	12	x	x	PROPN
ejpam-5819	174	13	is	be	AUX
ejpam-5819	174	14	rth	rth	ADJ
ejpam-5819	174	15	raw	raw	ADJ
ejpam-5819	174	16	moment	moment	NOUN
ejpam-5819	174	17	of	of	ADP
ejpam-5819	174	18	x	x	X
ejpam-5819	174	19	and	and	CCONJ
ejpam-5819	174	20	µr	µr	ADP
ejpam-5819	174	21	x(2:2	x(2:2	PROPN
ejpam-5819	174	22	)	)	PUNCT
ejpam-5819	174	23	,	,	PUNCT
ejpam-5819	174	24	µ	µ	PRON
ejpam-5819	174	25	r	r	NOUN
ejpam-5819	174	26	x(3:3	x(3:3	NOUN
ejpam-5819	174	27	)	)	PUNCT
ejpam-5819	174	28	is	be	AUX
ejpam-5819	174	29	rth	rth	ADJ
ejpam-5819	174	30	raw	raw	ADJ
ejpam-5819	174	31	moment	moment	NOUN
ejpam-5819	174	32	of	of	ADP
ejpam-5819	174	33	larger	large	ADJ
ejpam-5819	174	34	observation	observation	NOUN
ejpam-5819	174	35	in	in	ADP
ejpam-5819	174	36	a	a	DET
ejpam-5819	174	37	sample	sample	NOUN
ejpam-5819	174	38	of	of	ADP
ejpam-5819	174	39	size	size	NOUN
ejpam-5819	174	40	2	2	NUM
ejpam-5819	174	41	and	and	CCONJ
ejpam-5819	174	42	3	3	NUM
ejpam-5819	174	43	respectively	respectively	ADV
ejpam-5819	174	44	from	from	ADP
ejpam-5819	174	45	g1(x	g1(x	NOUN
ejpam-5819	174	46	)	)	PUNCT
ejpam-5819	174	47	.	.	PUNCT
ejpam-5819	175	1	proof	proof	NOUN
ejpam-5819	175	2	.	.	PUNCT
ejpam-5819	176	1	the	the	DET
ejpam-5819	176	2	rth	rth	PROPN
ejpam-5819	176	3	conditional	conditional	ADJ
ejpam-5819	176	4	moment	moment	NOUN
ejpam-5819	176	5	of	of	ADP
ejpam-5819	176	6	x	x	PUNCT
ejpam-5819	176	7	given	give	VERB
ejpam-5819	176	8	y	y	PROPN
ejpam-5819	176	9	=	=	SYM
ejpam-5819	176	10	y	y	PROPN
ejpam-5819	176	11	is	be	AUX
ejpam-5819	176	12	obtained	obtain	VERB
ejpam-5819	176	13	by	by	ADP
ejpam-5819	176	14	e(xr|y	e(xr|y	PROPN
ejpam-5819	176	15	)	)	PUNCT
ejpam-5819	177	1	=	=	PUNCT
ejpam-5819	178	1	∫	∫	PROPN
ejpam-5819	178	2	∞	∞	PROPN
ejpam-5819	178	3	−∞	−∞	X
ejpam-5819	178	4	xrf(x|y)dx	xrf(x|y)dx	PROPN
ejpam-5819	178	5	.	.	PUNCT
ejpam-5819	179	1	using	use	VERB
ejpam-5819	179	2	f(x	f(x	PROPN
ejpam-5819	179	3	—	—	PUNCT
ejpam-5819	179	4	y	y	NOUN
ejpam-5819	179	5	)	)	PUNCT
ejpam-5819	179	6	from	from	ADP
ejpam-5819	179	7	(	(	PUNCT
ejpam-5819	179	8	12	12	NUM
ejpam-5819	179	9	)	)	PUNCT
ejpam-5819	179	10	,	,	PUNCT
ejpam-5819	179	11	the	the	DET
ejpam-5819	179	12	above	above	ADJ
ejpam-5819	179	13	integral	integral	ADJ
ejpam-5819	179	14	becomes	become	VERB
ejpam-5819	179	15	e(xr	e(xr	PROPN
ejpam-5819	179	16	/	/	SYM
ejpam-5819	179	17	y	y	NOUN
ejpam-5819	179	18	)	)	PUNCT
ejpam-5819	180	1	=	=	SYM
ejpam-5819	181	1	∫	∫	PROPN
ejpam-5819	182	1	∞	∞	PROPN
ejpam-5819	183	1	−∞	−∞	X
ejpam-5819	183	2	xr	xr	PROPN
ejpam-5819	183	3	1	1	NUM
ejpam-5819	183	4	+	+	CCONJ
ejpam-5819	183	5	λ3	λ3	PROPN
ejpam-5819	183	6	−	−	PROPN
ejpam-5819	183	7	2λ3g2(y	2λ3g2(y	NOUN
ejpam-5819	183	8	)	)	PUNCT
ejpam-5819	183	9	+	+	CCONJ
ejpam-5819	183	10	2λ4g2(y)−	2λ4g2(y)−	NUM
ejpam-5819	183	11	3λ4g2	3λ4g2	NUM
ejpam-5819	183	12	2(y	2(y	NUM
ejpam-5819	183	13	)	)	PUNCT
ejpam-5819	184	1	[	[	X
ejpam-5819	184	2	1	1	NUM
ejpam-5819	184	3	+	+	NUM
ejpam-5819	184	4	λ1	λ1	ADJ
ejpam-5819	184	5	+	+	NUM
ejpam-5819	184	6	λ3	λ3	PROPN
ejpam-5819	185	1	+	+	NOUN
ejpam-5819	185	2	λ5	λ5	NOUN
ejpam-5819	185	3	+	+	CCONJ
ejpam-5819	186	1	2(λ2	2(λ2	NUM
ejpam-5819	186	2	−	−	NOUN
ejpam-5819	186	3	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	186	4	3(λ2	3(λ2	NUM
ejpam-5819	187	1	+	+	CCONJ
ejpam-5819	187	2	λ5)g	λ5)g	PROPN
ejpam-5819	187	3	2	2	NUM
ejpam-5819	187	4	1(x	1(x	NUM
ejpam-5819	187	5	)	)	PUNCT
ejpam-5819	188	1	+	+	CCONJ
ejpam-5819	189	1	2(λ4	2(λ4	NUM
ejpam-5819	189	2	−	−	NUM
ejpam-5819	189	3	λ3)g2(y	λ3)g2(y	NOUN
ejpam-5819	189	4	)	)	PUNCT
ejpam-5819	189	5	−	−	PROPN
ejpam-5819	190	1	3(λ4	3(λ4	PROPN
ejpam-5819	191	1	+	+	NUM
ejpam-5819	191	2	λ5)g	λ5)g	PROPN
ejpam-5819	191	3	2	2	NUM
ejpam-5819	191	4	2(y	2(y	NUM
ejpam-5819	191	5	)	)	PUNCT
ejpam-5819	192	1	+	+	CCONJ
ejpam-5819	192	2	9λ5	9λ5	NUM
ejpam-5819	192	3	g	g	NOUN
ejpam-5819	192	4	2	2	NUM
ejpam-5819	192	5	1(x)g	1(x)g	NOUN
ejpam-5819	192	6	2	2	NUM
ejpam-5819	192	7	2(y)]g1(x)dx	2(y)]g1(x)dx	NUM
ejpam-5819	192	8	.	.	PUNCT
ejpam-5819	193	1	after	after	ADP
ejpam-5819	193	2	simplifying	simplify	VERB
ejpam-5819	193	3	,	,	PUNCT
ejpam-5819	193	4	we	we	PRON
ejpam-5819	193	5	can	can	AUX
ejpam-5819	193	6	easily	easily	ADV
ejpam-5819	193	7	get	get	VERB
ejpam-5819	193	8	(	(	PUNCT
ejpam-5819	193	9	14	14	NUM
ejpam-5819	193	10	)	)	PUNCT
ejpam-5819	193	11	.	.	PUNCT
ejpam-5819	194	1	again	again	ADV
ejpam-5819	194	2	,	,	PUNCT
ejpam-5819	194	3	the	the	DET
ejpam-5819	194	4	conditional	conditional	ADJ
ejpam-5819	194	5	moment	moment	NOUN
ejpam-5819	194	6	sth	sth	PROPN
ejpam-5819	194	7	of	of	ADP
ejpam-5819	194	8	y	y	PROPN
ejpam-5819	194	9	given	give	VERB
ejpam-5819	194	10	x	x	PUNCT
ejpam-5819	194	11	=	=	PUNCT
ejpam-5819	194	12	x	x	VERB
ejpam-5819	194	13	is	be	AUX
ejpam-5819	194	14	given	give	VERB
ejpam-5819	194	15	in	in	ADP
ejpam-5819	194	16	the	the	DET
ejpam-5819	194	17	following	follow	VERB
ejpam-5819	194	18	theorem	theorem	NOUN
ejpam-5819	194	19	.	.	PUNCT
ejpam-5819	194	20	a.	a.	NOUN
ejpam-5819	194	21	a.	a.	PROPN
ejpam-5819	194	22	alsalafi	alsalafi	PROPN
ejpam-5819	194	23	,	,	PUNCT
ejpam-5819	194	24	s.	s.	PROPN
ejpam-5819	194	25	h.	h.	PROPN
ejpam-5819	194	26	shahbaz	shahbaz	PROPN
ejpam-5819	194	27	,	,	PUNCT
ejpam-5819	194	28	l.	l.	PROPN
ejpam-5819	194	29	i.	i.	PROPN
ejpam-5819	194	30	al	al	PROPN
ejpam-5819	194	31	-	-	PUNCT
ejpam-5819	194	32	turk	turk	PROPN
ejpam-5819	194	33	/	/	SYM
ejpam-5819	194	34	eur	eur	PROPN
ejpam-5819	194	35	.	.	PUNCT
ejpam-5819	195	1	j.	j.	PROPN
ejpam-5819	195	2	pure	pure	PROPN
ejpam-5819	195	3	appl	appl	PROPN
ejpam-5819	195	4	.	.	PROPN
ejpam-5819	195	5	math	math	PROPN
ejpam-5819	195	6	,	,	PUNCT
ejpam-5819	195	7	18	18	NUM
ejpam-5819	195	8	(	(	PUNCT
ejpam-5819	195	9	2	2	NUM
ejpam-5819	195	10	)	)	PUNCT
ejpam-5819	195	11	(	(	PUNCT
ejpam-5819	195	12	2025	2025	NUM
ejpam-5819	195	13	)	)	PUNCT
ejpam-5819	195	14	,	,	PUNCT
ejpam-5819	195	15	5819	5819	NUM
ejpam-5819	195	16	8	8	NUM
ejpam-5819	195	17	of	of	ADP
ejpam-5819	195	18	28	28	NUM
ejpam-5819	195	19	theorem	theorem	NOUN
ejpam-5819	195	20	3	3	X
ejpam-5819	195	21	.	.	PUNCT
ejpam-5819	196	1	let	let	VERB
ejpam-5819	196	2	x	x	PRON
ejpam-5819	196	3	and	and	CCONJ
ejpam-5819	196	4	y	y	PROPN
ejpam-5819	196	5	be	be	AUX
ejpam-5819	196	6	two	two	NUM
ejpam-5819	196	7	random	random	ADJ
ejpam-5819	196	8	variables	variable	NOUN
ejpam-5819	196	9	having	have	VERB
ejpam-5819	196	10	joint	joint	ADJ
ejpam-5819	196	11	bivariate	bivariate	ADJ
ejpam-5819	196	12	cubic	cubic	ADJ
ejpam-5819	196	13	transmuted	transmute	VERB
ejpam-5819	196	14	family	family	NOUN
ejpam-5819	196	15	of	of	ADP
ejpam-5819	196	16	distributions	distribution	NOUN
ejpam-5819	196	17	then	then	ADV
ejpam-5819	196	18	the	the	DET
ejpam-5819	196	19	sth	sth	NOUN
ejpam-5819	196	20	conditional	conditional	ADJ
ejpam-5819	196	21	moment	moment	NOUN
ejpam-5819	196	22	of	of	ADP
ejpam-5819	196	23	y	y	PROPN
ejpam-5819	196	24	given	give	VERB
ejpam-5819	196	25	x	x	PUNCT
ejpam-5819	196	26	=	=	PUNCT
ejpam-5819	196	27	x	x	X
ejpam-5819	196	28	is	be	AUX
ejpam-5819	196	29	e(y	e(y	ADJ
ejpam-5819	196	30	s|x	s|x	PRON
ejpam-5819	196	31	)	)	PUNCT
ejpam-5819	196	32	=	=	SYM
ejpam-5819	196	33	1	1	NUM
ejpam-5819	196	34	φ(x	φ(x	NOUN
ejpam-5819	196	35	)	)	PUNCT
ejpam-5819	196	36	[	[	PUNCT
ejpam-5819	196	37	(	(	PUNCT
ejpam-5819	196	38	η	η	X
ejpam-5819	196	39	+	+	PROPN
ejpam-5819	196	40	2(λ2	2(λ2	NUM
ejpam-5819	196	41	−	−	NOUN
ejpam-5819	196	42	λ4)g1(x)−	λ4)g1(x)−	NOUN
ejpam-5819	196	43	3(λ2	3(λ2	NUM
ejpam-5819	197	1	+	+	CCONJ
ejpam-5819	197	2	λ5)g	λ5)g	PROPN
ejpam-5819	197	3	2	2	NUM
ejpam-5819	197	4	1(x))µ	1(x))µ	NUM
ejpam-5819	197	5	s	s	NOUN
ejpam-5819	197	6	y	y	NOUN
ejpam-5819	197	7	+	+	CCONJ
ejpam-5819	197	8	(	(	PUNCT
ejpam-5819	197	9	λ4	λ4	ADJ
ejpam-5819	197	10	−	−	PROPN
ejpam-5819	197	11	λ3)µ	λ3)µ	NOUN
ejpam-5819	197	12	s	s	PROPN
ejpam-5819	197	13	y(2:2	y(2:2	PROPN
ejpam-5819	197	14	)	)	PUNCT
ejpam-5819	197	15	−	−	PROPN
ejpam-5819	198	1	(	(	PUNCT
ejpam-5819	198	2	λ4	λ4	VERB
ejpam-5819	198	3	+	+	CCONJ
ejpam-5819	198	4	λ5	λ5	NOUN
ejpam-5819	198	5	+	+	CCONJ
ejpam-5819	198	6	3λ5	3λ5	NUM
ejpam-5819	198	7	g	g	NOUN
ejpam-5819	198	8	2	2	NUM
ejpam-5819	198	9	2(x))µ	2(x))µ	NUM
ejpam-5819	198	10	s	s	NOUN
ejpam-5819	198	11	y(3:3	y(3:3	NOUN
ejpam-5819	198	12	)	)	PUNCT
ejpam-5819	198	13	]	]	PUNCT
ejpam-5819	198	14	,	,	PUNCT
ejpam-5819	198	15	(	(	PUNCT
ejpam-5819	198	16	15	15	NUM
ejpam-5819	198	17	)	)	PUNCT
ejpam-5819	198	18	where	where	SCONJ
ejpam-5819	198	19	φ(x	φ(x	NOUN
ejpam-5819	198	20	)	)	PUNCT
ejpam-5819	198	21	=	=	PUNCT
ejpam-5819	198	22	(	(	PUNCT
ejpam-5819	198	23	1	1	NUM
ejpam-5819	198	24	+	+	SYM
ejpam-5819	198	25	λ1	λ1	ADJ
ejpam-5819	198	26	)	)	PUNCT
ejpam-5819	199	1	+	+	CCONJ
ejpam-5819	199	2	2(λ2	2(λ2	NUM
ejpam-5819	199	3	−	−	NOUN
ejpam-5819	199	4	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	199	5	3λ2	3λ2	NUM
ejpam-5819	199	6	g	g	PROPN
ejpam-5819	199	7	2	2	NUM
ejpam-5819	199	8	1(x	1(x	NUM
ejpam-5819	199	9	)	)	PUNCT
ejpam-5819	199	10	,	,	PUNCT
ejpam-5819	199	11	η	η	PROPN
ejpam-5819	199	12	=	=	SYM
ejpam-5819	199	13	1	1	NUM
ejpam-5819	199	14	+	+	NUM
ejpam-5819	199	15	λ1	λ1	ADJ
ejpam-5819	199	16	+	+	NUM
ejpam-5819	199	17	λ3	λ3	PROPN
ejpam-5819	200	1	+	+	CCONJ
ejpam-5819	200	2	λ5	λ5	NOUN
ejpam-5819	200	3	,	,	PUNCT
ejpam-5819	200	4	µs	µs	ADP
ejpam-5819	200	5	y	y	PROPN
ejpam-5819	200	6	is	be	AUX
ejpam-5819	200	7	rth	rth	ADJ
ejpam-5819	200	8	raw	raw	ADJ
ejpam-5819	200	9	moment	moment	NOUN
ejpam-5819	200	10	of	of	ADP
ejpam-5819	200	11	y	y	PROPN
ejpam-5819	200	12	and	and	CCONJ
ejpam-5819	200	13	µs	µs	ADP
ejpam-5819	200	14	y(2:2	y(2:2	PROPN
ejpam-5819	200	15	)	)	PUNCT
ejpam-5819	200	16	,	,	PUNCT
ejpam-5819	200	17	µ	µ	X
ejpam-5819	200	18	s	s	X
ejpam-5819	200	19	y(3:3	y(3:3	NOUN
ejpam-5819	200	20	)	)	PUNCT
ejpam-5819	200	21	is	be	AUX
ejpam-5819	200	22	rth	rth	ADJ
ejpam-5819	200	23	raw	raw	ADJ
ejpam-5819	200	24	moment	moment	NOUN
ejpam-5819	200	25	of	of	ADP
ejpam-5819	200	26	larger	large	ADJ
ejpam-5819	200	27	observation	observation	NOUN
ejpam-5819	200	28	in	in	ADP
ejpam-5819	200	29	a	a	DET
ejpam-5819	200	30	sample	sample	NOUN
ejpam-5819	200	31	of	of	ADP
ejpam-5819	200	32	size	size	NOUN
ejpam-5819	200	33	2	2	NUM
ejpam-5819	200	34	and	and	CCONJ
ejpam-5819	200	35	3	3	NUM
ejpam-5819	200	36	respectively	respectively	ADV
ejpam-5819	200	37	from	from	ADP
ejpam-5819	200	38	g2(y	g2(y	PROPN
ejpam-5819	200	39	)	)	PUNCT
ejpam-5819	200	40	.	.	PUNCT
ejpam-5819	201	1	proof	proof	NOUN
ejpam-5819	201	2	.	.	PUNCT
ejpam-5819	202	1	the	the	DET
ejpam-5819	202	2	sth	sth	PROPN
ejpam-5819	202	3	conditional	conditional	ADJ
ejpam-5819	202	4	moment	moment	NOUN
ejpam-5819	202	5	of	of	ADP
ejpam-5819	202	6	y	y	PROPN
ejpam-5819	202	7	given	give	VERB
ejpam-5819	202	8	x	x	PUNCT
ejpam-5819	202	9	=	=	PUNCT
ejpam-5819	202	10	x	x	PUNCT
ejpam-5819	202	11	is	be	AUX
ejpam-5819	202	12	defined	define	VERB
ejpam-5819	202	13	as	as	ADP
ejpam-5819	202	14	e(y	e(y	ADJ
ejpam-5819	202	15	s|x	s|x	PRON
ejpam-5819	202	16	)	)	PUNCT
ejpam-5819	202	17	=	=	SYM
ejpam-5819	203	1	∫	∫	PROPN
ejpam-5819	203	2	∞	∞	PROPN
ejpam-5819	203	3	−∞	−∞	ADP
ejpam-5819	203	4	ysf(y|x)dy	ysf(y|x)dy	NOUN
ejpam-5819	203	5	,	,	PUNCT
ejpam-5819	203	6	where	where	SCONJ
ejpam-5819	203	7	f(y	f(y	NOUN
ejpam-5819	203	8	—	—	PUNCT
ejpam-5819	203	9	x	x	X
ejpam-5819	203	10	)	)	PUNCT
ejpam-5819	203	11	is	be	AUX
ejpam-5819	203	12	the	the	DET
ejpam-5819	203	13	conditional	conditional	ADJ
ejpam-5819	203	14	distribution	distribution	NOUN
ejpam-5819	203	15	of	of	ADP
ejpam-5819	203	16	y	y	PROPN
ejpam-5819	203	17	given	give	VERB
ejpam-5819	203	18	x	x	PUNCT
ejpam-5819	203	19	=	=	SYM
ejpam-5819	203	20	x	x	NOUN
ejpam-5819	203	21	,	,	PUNCT
ejpam-5819	203	22	given	give	VERB
ejpam-5819	203	23	in	in	ADP
ejpam-5819	203	24	(	(	PUNCT
ejpam-5819	203	25	13	13	NUM
ejpam-5819	203	26	)	)	PUNCT
ejpam-5819	203	27	.	.	PUNCT
ejpam-5819	204	1	using	use	VERB
ejpam-5819	204	2	the	the	DET
ejpam-5819	204	3	conditional	conditional	ADJ
ejpam-5819	204	4	distribution	distribution	NOUN
ejpam-5819	204	5	,	,	PUNCT
ejpam-5819	204	6	the	the	DET
ejpam-5819	204	7	above	above	ADJ
ejpam-5819	204	8	integral	integral	ADJ
ejpam-5819	204	9	becomes	become	VERB
ejpam-5819	204	10	e(y	e(y	ADJ
ejpam-5819	204	11	s|x	s|x	PRON
ejpam-5819	204	12	)	)	PUNCT
ejpam-5819	205	1	=	=	SYM
ejpam-5819	206	1	∫	∫	PROPN
ejpam-5819	207	1	∞	∞	PROPN
ejpam-5819	208	1	−∞	−∞	X
ejpam-5819	208	2	ys	ys	NOUN
ejpam-5819	208	3	[	[	X
ejpam-5819	208	4	1	1	NUM
ejpam-5819	208	5	+	+	NUM
ejpam-5819	208	6	λ1	λ1	ADJ
ejpam-5819	208	7	−	−	PROPN
ejpam-5819	208	8	2λ1g1(x	2λ1g1(x	NUM
ejpam-5819	208	9	)	)	PUNCT
ejpam-5819	209	1	+	+	CCONJ
ejpam-5819	209	2	2λ2g1(x)−	2λ2g1(x)−	NOUN
ejpam-5819	209	3	3λ2g2	3λ2g2	NUM
ejpam-5819	209	4	1(x	1(x	NUM
ejpam-5819	209	5	)	)	PUNCT
ejpam-5819	209	6	]	]	PUNCT
ejpam-5819	210	1	[	[	PUNCT
ejpam-5819	210	2	1	1	NUM
ejpam-5819	210	3	+	+	NUM
ejpam-5819	210	4	λ1	λ1	ADJ
ejpam-5819	210	5	+	+	NUM
ejpam-5819	210	6	λ3	λ3	PROPN
ejpam-5819	211	1	+	+	NOUN
ejpam-5819	211	2	λ5	λ5	NOUN
ejpam-5819	211	3	+	+	CCONJ
ejpam-5819	212	1	2(λ2	2(λ2	NUM
ejpam-5819	212	2	−	−	NOUN
ejpam-5819	212	3	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	212	4	3(λ2	3(λ2	NUM
ejpam-5819	213	1	+	+	CCONJ
ejpam-5819	213	2	λ5)g	λ5)g	PROPN
ejpam-5819	213	3	2	2	NUM
ejpam-5819	213	4	1(x	1(x	NUM
ejpam-5819	213	5	)	)	PUNCT
ejpam-5819	214	1	+	+	CCONJ
ejpam-5819	215	1	2(λ4	2(λ4	NUM
ejpam-5819	215	2	−	−	NUM
ejpam-5819	215	3	λ3)g2(y	λ3)g2(y	NOUN
ejpam-5819	215	4	)	)	PUNCT
ejpam-5819	215	5	−	−	PROPN
ejpam-5819	216	1	3(λ4	3(λ4	PROPN
ejpam-5819	217	1	+	+	NUM
ejpam-5819	217	2	λ5)g	λ5)g	PROPN
ejpam-5819	217	3	2	2	NUM
ejpam-5819	217	4	2(y	2(y	NUM
ejpam-5819	217	5	)	)	PUNCT
ejpam-5819	218	1	+	+	CCONJ
ejpam-5819	218	2	9λ5	9λ5	NUM
ejpam-5819	218	3	g	g	NOUN
ejpam-5819	218	4	2	2	NUM
ejpam-5819	218	5	1(x)g	1(x)g	NOUN
ejpam-5819	218	6	2	2	NUM
ejpam-5819	218	7	2(y	2(y	NUM
ejpam-5819	218	8	)	)	PUNCT
ejpam-5819	218	9	]	]	PUNCT
ejpam-5819	219	1	g2(y)dy	g2(y)dy	X
ejpam-5819	219	2	.	.	PUNCT
ejpam-5819	220	1	this	this	PRON
ejpam-5819	220	2	,	,	PUNCT
ejpam-5819	220	3	in	in	ADP
ejpam-5819	220	4	simplification	simplification	NOUN
ejpam-5819	220	5	,	,	PUNCT
ejpam-5819	220	6	becomes	become	VERB
ejpam-5819	220	7	(	(	PUNCT
ejpam-5819	220	8	15	15	NUM
ejpam-5819	220	9	)	)	PUNCT
ejpam-5819	220	10	and	and	CCONJ
ejpam-5819	220	11	hence	hence	ADV
ejpam-5819	220	12	the	the	DET
ejpam-5819	220	13	proof	proof	NOUN
ejpam-5819	220	14	is	be	AUX
ejpam-5819	220	15	complete	complete	ADJ
ejpam-5819	220	16	.	.	PUNCT
ejpam-5819	221	1	4.3	4.3	NUM
ejpam-5819	221	2	.	.	PUNCT
ejpam-5819	222	1	the	the	DET
ejpam-5819	222	2	bivariate	bivariate	ADJ
ejpam-5819	222	3	reliability	reliability	NOUN
ejpam-5819	222	4	and	and	CCONJ
ejpam-5819	222	5	hazard	hazard	NOUN
ejpam-5819	222	6	rate	rate	NOUN
ejpam-5819	222	7	functions	function	NOUN
ejpam-5819	222	8	the	the	DET
ejpam-5819	222	9	reliability	reliability	NOUN
ejpam-5819	222	10	function	function	NOUN
ejpam-5819	222	11	of	of	ADP
ejpam-5819	222	12	the	the	DET
ejpam-5819	222	13	bct	bct	PROPN
ejpam-5819	222	14	family	family	NOUN
ejpam-5819	222	15	is	be	AUX
ejpam-5819	222	16	given	give	VERB
ejpam-5819	222	17	by	by	ADP
ejpam-5819	222	18	this	this	DET
ejpam-5819	222	19	theorem	theorem	VERB
ejpam-5819	222	20	.	.	PUNCT
ejpam-5819	222	21	theorem	theorem	NOUN
ejpam-5819	222	22	4	4	NUM
ejpam-5819	222	23	.	.	PUNCT
ejpam-5819	223	1	let	let	VERB
ejpam-5819	223	2	x	x	PRON
ejpam-5819	223	3	and	and	CCONJ
ejpam-5819	223	4	y	y	PROPN
ejpam-5819	223	5	be	be	AUX
ejpam-5819	223	6	two	two	NUM
ejpam-5819	223	7	random	random	ADJ
ejpam-5819	223	8	variables	variable	NOUN
ejpam-5819	223	9	having	have	VERB
ejpam-5819	223	10	a	a	DET
ejpam-5819	223	11	bivariate	bivariate	ADJ
ejpam-5819	223	12	cubic	cubic	ADJ
ejpam-5819	223	13	transmuted	transmute	VERB
ejpam-5819	223	14	family	family	NOUN
ejpam-5819	223	15	of	of	ADP
ejpam-5819	223	16	distributions	distribution	NOUN
ejpam-5819	223	17	then	then	ADV
ejpam-5819	223	18	the	the	DET
ejpam-5819	223	19	bivariate	bivariate	ADJ
ejpam-5819	223	20	reliability	reliability	NOUN
ejpam-5819	223	21	function	function	NOUN
ejpam-5819	223	22	of	of	ADP
ejpam-5819	223	23	x	x	PUNCT
ejpam-5819	223	24	and	and	CCONJ
ejpam-5819	223	25	y	y	PROPN
ejpam-5819	223	26	is	be	AUX
ejpam-5819	223	27	r(x	r(x	PROPN
ejpam-5819	223	28	,	,	PUNCT
ejpam-5819	223	29	y	y	NOUN
ejpam-5819	223	30	)	)	PUNCT
ejpam-5819	223	31	=	=	SYM
ejpam-5819	224	1	1	1	NUM
ejpam-5819	224	2	+	+	NOUN
ejpam-5819	224	3	g1(x)(ηg2(y)−	g1(x)(ηg2(y)−	ADJ
ejpam-5819	224	4	δ1	δ1	NOUN
ejpam-5819	224	5	)	)	PUNCT
ejpam-5819	225	1	+	+	CCONJ
ejpam-5819	225	2	δ2	δ2	VERB
ejpam-5819	225	3	g	g	NOUN
ejpam-5819	225	4	2	2	NUM
ejpam-5819	225	5	1(x)(1	1(x)(1	NUM
ejpam-5819	225	6	+	+	PROPN
ejpam-5819	225	7	g2(y	g2(y	NOUN
ejpam-5819	225	8	)	)	PUNCT
ejpam-5819	225	9	)	)	PUNCT
ejpam-5819	226	1	+	+	VERB
ejpam-5819	226	2	g3	g3	NOUN
ejpam-5819	226	3	1(x)(λ2	1(x)(λ2	NUM
ejpam-5819	226	4	−	−	NOUN
ejpam-5819	226	5	δ6g2(y	δ6g2(y	NUM
ejpam-5819	226	6	)	)	PUNCT
ejpam-5819	226	7	)	)	PUNCT
ejpam-5819	226	8	−	−	ADP
ejpam-5819	227	1	δ3g2(y	δ3g2(y	NOUN
ejpam-5819	227	2	)	)	PUNCT
ejpam-5819	227	3	+	+	NOUN
ejpam-5819	227	4	δ4	δ4	NOUN
ejpam-5819	227	5	g	g	NOUN
ejpam-5819	227	6	2	2	NUM
ejpam-5819	227	7	2(y)(1−g1(x	2(y)(1−g1(x	NUM
ejpam-5819	227	8	)	)	PUNCT
ejpam-5819	227	9	)	)	PUNCT
ejpam-5819	228	1	+	+	NUM
ejpam-5819	228	2	g3	g3	NOUN
ejpam-5819	228	3	2(y)(λ4	2(y)(λ4	NUM
ejpam-5819	228	4	−	−	NOUN
ejpam-5819	228	5	δ7g1(x	δ7g1(x	NUM
ejpam-5819	228	6	)	)	PUNCT
ejpam-5819	228	7	+	+	CCONJ
ejpam-5819	228	8	λ5	λ5	NOUN
ejpam-5819	228	9	g	g	NOUN
ejpam-5819	228	10	3	3	NUM
ejpam-5819	228	11	1(x	1(x	NUM
ejpam-5819	228	12	)	)	PUNCT
ejpam-5819	228	13	)	)	PUNCT
ejpam-5819	228	14	,	,	PUNCT
ejpam-5819	228	15	(	(	PUNCT
ejpam-5819	228	16	16	16	NUM
ejpam-5819	228	17	)	)	PUNCT
ejpam-5819	228	18	where	where	SCONJ
ejpam-5819	228	19	δ1	δ1	NOUN
ejpam-5819	228	20	=	=	PUNCT
ejpam-5819	228	21	(	(	PUNCT
ejpam-5819	228	22	1+λ1),δ2	1+λ1),δ2	NUM
ejpam-5819	228	23	=	=	SYM
ejpam-5819	228	24	(	(	PUNCT
ejpam-5819	228	25	λ2−λ1	λ2−λ1	NUM
ejpam-5819	228	26	)	)	PUNCT
ejpam-5819	228	27	,	,	PUNCT
ejpam-5819	228	28	δ3	δ3	PROPN
ejpam-5819	228	29	=	=	PRON
ejpam-5819	228	30	(	(	PUNCT
ejpam-5819	228	31	1+λ3	1+λ3	NOUN
ejpam-5819	228	32	)	)	PUNCT
ejpam-5819	228	33	,	,	PUNCT
ejpam-5819	228	34	δ4	δ4	NOUN
ejpam-5819	228	35	=	=	SYM
ejpam-5819	228	36	(	(	PUNCT
ejpam-5819	228	37	λ3−λ4	λ3−λ4	NUM
ejpam-5819	228	38	)	)	PUNCT
ejpam-5819	228	39	,	,	PUNCT
ejpam-5819	228	40	η	η	PROPN
ejpam-5819	228	41	=	=	X
ejpam-5819	228	42	(	(	PUNCT
ejpam-5819	228	43	1+λ1+λ3+λ5	1+λ1+λ3+λ5	NUM
ejpam-5819	228	44	)	)	PUNCT
ejpam-5819	228	45	,	,	PUNCT
ejpam-5819	228	46	δ6	δ6	NOUN
ejpam-5819	228	47	=	=	SYM
ejpam-5819	228	48	(	(	PUNCT
ejpam-5819	228	49	λ2	λ2	NOUN
ejpam-5819	228	50	+	+	CCONJ
ejpam-5819	228	51	λ5	λ5	NOUN
ejpam-5819	228	52	)	)	PUNCT
ejpam-5819	228	53	,	,	PUNCT
ejpam-5819	228	54	δ7	δ7	NOUN
ejpam-5819	228	55	=	=	SYM
ejpam-5819	228	56	(	(	PUNCT
ejpam-5819	228	57	λ4	λ4	PROPN
ejpam-5819	228	58	+	+	CCONJ
ejpam-5819	228	59	λ5	λ5	NOUN
ejpam-5819	228	60	)	)	PUNCT
ejpam-5819	228	61	.	.	PUNCT
ejpam-5819	229	1	proof	proof	NOUN
ejpam-5819	229	2	.	.	PUNCT
ejpam-5819	230	1	the	the	DET
ejpam-5819	230	2	bivariate	bivariate	ADJ
ejpam-5819	230	3	reliability	reliability	NOUN
ejpam-5819	230	4	function	function	NOUN
ejpam-5819	230	5	of	of	ADP
ejpam-5819	230	6	x	x	PUNCT
ejpam-5819	230	7	and	and	CCONJ
ejpam-5819	230	8	y	y	PROPN
ejpam-5819	230	9	is	be	AUX
ejpam-5819	230	10	defined	define	VERB
ejpam-5819	230	11	as	as	ADP
ejpam-5819	230	12	r(x	r(x	PROPN
ejpam-5819	230	13	,	,	PUNCT
ejpam-5819	230	14	y	y	NOUN
ejpam-5819	230	15	)	)	PUNCT
ejpam-5819	230	16	=	=	SYM
ejpam-5819	231	1	1−	1−	NUM
ejpam-5819	232	1	[	[	X
ejpam-5819	232	2	fx(x	fx(x	X
ejpam-5819	232	3	)	)	PUNCT
ejpam-5819	233	1	+	+	CCONJ
ejpam-5819	233	2	fy	fy	PROPN
ejpam-5819	233	3	(	(	PUNCT
ejpam-5819	233	4	y)−	y)−	PROPN
ejpam-5819	233	5	fx	fx	PROPN
ejpam-5819	233	6	,	,	PUNCT
ejpam-5819	233	7	y	y	PROPN
ejpam-5819	233	8	(	(	PUNCT
ejpam-5819	233	9	x	x	PROPN
ejpam-5819	233	10	,	,	PUNCT
ejpam-5819	233	11	y	y	PROPN
ejpam-5819	233	12	)	)	PUNCT
ejpam-5819	233	13	]	]	PUNCT
ejpam-5819	233	14	.	.	PUNCT
ejpam-5819	234	1	using	use	VERB
ejpam-5819	234	2	(	(	PUNCT
ejpam-5819	234	3	8)	8)	NUM
ejpam-5819	234	4	,	,	PUNCT
ejpam-5819	234	5	(	(	PUNCT
ejpam-5819	234	6	9	9	NUM
ejpam-5819	234	7	)	)	PUNCT
ejpam-5819	234	8	and	and	CCONJ
ejpam-5819	234	9	(	(	PUNCT
ejpam-5819	234	10	6	6	NUM
ejpam-5819	234	11	)	)	PUNCT
ejpam-5819	234	12	in	in	ADP
ejpam-5819	234	13	the	the	DET
ejpam-5819	234	14	above	above	ADJ
ejpam-5819	234	15	equation	equation	NOUN
ejpam-5819	234	16	,	,	PUNCT
ejpam-5819	234	17	the	the	DET
ejpam-5819	234	18	bivariate	bivariate	ADJ
ejpam-5819	234	19	reliability	reliability	NOUN
ejpam-5819	234	20	function	function	NOUN
ejpam-5819	234	21	for	for	ADP
ejpam-5819	234	22	the	the	DET
ejpam-5819	234	23	bivariate	bivariate	ADJ
ejpam-5819	234	24	cubic	cubic	ADJ
ejpam-5819	234	25	transmuted	transmute	VERB
ejpam-5819	234	26	family	family	NOUN
ejpam-5819	234	27	of	of	ADP
ejpam-5819	234	28	distribution	distribution	NOUN
ejpam-5819	234	29	completes	complete	VERB
ejpam-5819	234	30	the	the	DET
ejpam-5819	234	31	proof	proof	NOUN
ejpam-5819	234	32	.	.	PUNCT
ejpam-5819	235	1	the	the	DET
ejpam-5819	235	2	bivariate	bivariate	ADJ
ejpam-5819	235	3	reliability	reliability	NOUN
ejpam-5819	235	4	function	function	NOUN
ejpam-5819	235	5	can	can	AUX
ejpam-5819	235	6	be	be	AUX
ejpam-5819	235	7	obtained	obtain	VERB
ejpam-5819	235	8	for	for	ADP
ejpam-5819	235	9	different	different	ADJ
ejpam-5819	235	10	choices	choice	NOUN
ejpam-5819	235	11	of	of	ADP
ejpam-5819	235	12	the	the	DET
ejpam-5819	235	13	baseline	baseline	NOUN
ejpam-5819	235	14	cdf	cdf	PROPN
ejpam-5819	235	15	g1(x	g1(x	NOUN
ejpam-5819	235	16	)	)	PUNCT
ejpam-5819	235	17	and	and	CCONJ
ejpam-5819	235	18	g2(y	g2(y	NOUN
ejpam-5819	235	19	)	)	PUNCT
ejpam-5819	235	20	a.	a.	NOUN
ejpam-5819	235	21	a.	a.	NOUN
ejpam-5819	235	22	alsalafi	alsalafi	PROPN
ejpam-5819	235	23	,	,	PUNCT
ejpam-5819	235	24	s.	s.	PROPN
ejpam-5819	235	25	h.	h.	PROPN
ejpam-5819	235	26	shahbaz	shahbaz	PROPN
ejpam-5819	235	27	,	,	PUNCT
ejpam-5819	235	28	l.	l.	PROPN
ejpam-5819	235	29	i.	i.	PROPN
ejpam-5819	235	30	al	al	PROPN
ejpam-5819	235	31	-	-	PUNCT
ejpam-5819	235	32	turk	turk	PROPN
ejpam-5819	235	33	/	/	SYM
ejpam-5819	235	34	eur	eur	PROPN
ejpam-5819	235	35	.	.	PUNCT
ejpam-5819	236	1	j.	j.	PROPN
ejpam-5819	236	2	pure	pure	PROPN
ejpam-5819	236	3	appl	appl	PROPN
ejpam-5819	236	4	.	.	PROPN
ejpam-5819	236	5	math	math	PROPN
ejpam-5819	236	6	,	,	PUNCT
ejpam-5819	236	7	18	18	NUM
ejpam-5819	236	8	(	(	PUNCT
ejpam-5819	236	9	2	2	NUM
ejpam-5819	236	10	)	)	PUNCT
ejpam-5819	236	11	(	(	PUNCT
ejpam-5819	236	12	2025	2025	NUM
ejpam-5819	236	13	)	)	PUNCT
ejpam-5819	236	14	,	,	PUNCT
ejpam-5819	236	15	5819	5819	NUM
ejpam-5819	236	16	9	9	NUM
ejpam-5819	236	17	of	of	ADP
ejpam-5819	236	18	28	28	NUM
ejpam-5819	236	19	the	the	DET
ejpam-5819	236	20	hazard	hazard	NOUN
ejpam-5819	236	21	rate	rate	NOUN
ejpam-5819	236	22	is	be	AUX
ejpam-5819	236	23	an	an	DET
ejpam-5819	236	24	important	important	ADJ
ejpam-5819	236	25	function	function	NOUN
ejpam-5819	236	26	in	in	ADP
ejpam-5819	236	27	reliability	reliability	NOUN
ejpam-5819	236	28	analysis	analysis	NOUN
ejpam-5819	236	29	since	since	SCONJ
ejpam-5819	236	30	it	it	PRON
ejpam-5819	236	31	shows	show	VERB
ejpam-5819	236	32	changes	change	NOUN
ejpam-5819	236	33	in	in	ADP
ejpam-5819	236	34	the	the	DET
ejpam-5819	236	35	probability	probability	NOUN
ejpam-5819	236	36	of	of	ADP
ejpam-5819	236	37	failure	failure	NOUN
ejpam-5819	236	38	over	over	ADP
ejpam-5819	236	39	the	the	DET
ejpam-5819	236	40	lifetime	lifetime	NOUN
ejpam-5819	236	41	of	of	ADP
ejpam-5819	236	42	a	a	DET
ejpam-5819	236	43	component	component	NOUN
ejpam-5819	236	44	and	and	CCONJ
ejpam-5819	236	45	is	be	AUX
ejpam-5819	236	46	also	also	ADV
ejpam-5819	236	47	known	know	VERB
ejpam-5819	236	48	as	as	ADP
ejpam-5819	236	49	the	the	DET
ejpam-5819	236	50	failure	failure	NOUN
ejpam-5819	236	51	or	or	CCONJ
ejpam-5819	236	52	failure	failure	NOUN
ejpam-5819	236	53	rate	rate	NOUN
ejpam-5819	236	54	function	function	NOUN
ejpam-5819	236	55	.	.	PUNCT
ejpam-5819	237	1	the	the	DET
ejpam-5819	237	2	bivariate	bivariate	ADJ
ejpam-5819	237	3	hazard	hazard	NOUN
ejpam-5819	237	4	rate	rate	NOUN
ejpam-5819	237	5	function	function	NOUN
ejpam-5819	237	6	of	of	ADP
ejpam-5819	237	7	x	x	PUNCT
ejpam-5819	237	8	and	and	CCONJ
ejpam-5819	237	9	y	y	PROPN
ejpam-5819	237	10	is	be	AUX
ejpam-5819	237	11	defined	define	VERB
ejpam-5819	237	12	as	as	ADP
ejpam-5819	237	13	:	:	PUNCT
ejpam-5819	237	14	h(x	h(x	PROPN
ejpam-5819	237	15	,	,	PUNCT
ejpam-5819	237	16	y	y	PROPN
ejpam-5819	237	17	)	)	PUNCT
ejpam-5819	237	18	=	=	SYM
ejpam-5819	237	19	fx	fx	PROPN
ejpam-5819	237	20	,	,	PUNCT
ejpam-5819	237	21	y	y	PROPN
ejpam-5819	237	22	(	(	PUNCT
ejpam-5819	237	23	x	x	PROPN
ejpam-5819	237	24	,	,	PUNCT
ejpam-5819	237	25	y	y	NOUN
ejpam-5819	237	26	)	)	PUNCT
ejpam-5819	237	27	r(x	r(x	PROPN
ejpam-5819	237	28	,	,	PUNCT
ejpam-5819	237	29	y	y	PROPN
ejpam-5819	237	30	)	)	PUNCT
ejpam-5819	237	31	,	,	PUNCT
ejpam-5819	237	32	(	(	PUNCT
ejpam-5819	237	33	17	17	NUM
ejpam-5819	237	34	)	)	PUNCT
ejpam-5819	237	35	by	by	ADP
ejpam-5819	237	36	using	use	VERB
ejpam-5819	237	37	the	the	DET
ejpam-5819	237	38	bivariate	bivariate	ADJ
ejpam-5819	237	39	density	density	NOUN
ejpam-5819	237	40	function	function	NOUN
ejpam-5819	237	41	(	(	PUNCT
ejpam-5819	237	42	7	7	NUM
ejpam-5819	237	43	)	)	PUNCT
ejpam-5819	237	44	and	and	CCONJ
ejpam-5819	237	45	the	the	DET
ejpam-5819	237	46	bivariate	bivariate	ADJ
ejpam-5819	237	47	reliability	reliability	NOUN
ejpam-5819	237	48	function	function	NOUN
ejpam-5819	237	49	(	(	PUNCT
ejpam-5819	237	50	16	16	NUM
ejpam-5819	237	51	)	)	PUNCT
ejpam-5819	237	52	in	in	ADP
ejpam-5819	237	53	(	(	PUNCT
ejpam-5819	237	54	17	17	NUM
ejpam-5819	237	55	)	)	PUNCT
ejpam-5819	237	56	,	,	PUNCT
ejpam-5819	237	57	we	we	PRON
ejpam-5819	237	58	can	can	AUX
ejpam-5819	237	59	derive	derive	VERB
ejpam-5819	237	60	the	the	DET
ejpam-5819	237	61	bivariate	bivariate	ADJ
ejpam-5819	237	62	hazard	hazard	NOUN
ejpam-5819	237	63	rate	rate	NOUN
ejpam-5819	237	64	function	function	NOUN
ejpam-5819	237	65	for	for	ADP
ejpam-5819	237	66	the	the	DET
ejpam-5819	237	67	bivariate	bivariate	ADJ
ejpam-5819	237	68	cubic	cubic	ADJ
ejpam-5819	237	69	transmuted	transmute	VERB
ejpam-5819	237	70	family	family	NOUN
ejpam-5819	237	71	of	of	ADP
ejpam-5819	237	72	distributions	distribution	NOUN
ejpam-5819	237	73	.	.	PUNCT
ejpam-5819	238	1	4.4	4.4	NUM
ejpam-5819	238	2	.	.	PUNCT
ejpam-5819	239	1	random	random	ADJ
ejpam-5819	239	2	number	number	NOUN
ejpam-5819	239	3	generation	generation	NOUN
ejpam-5819	239	4	the	the	DET
ejpam-5819	239	5	random	random	ADJ
ejpam-5819	239	6	sample	sample	NOUN
ejpam-5819	239	7	from	from	ADP
ejpam-5819	239	8	the	the	DET
ejpam-5819	239	9	bivariate	bivariate	ADJ
ejpam-5819	239	10	cubic	cubic	ADJ
ejpam-5819	239	11	transmuted	transmute	VERB
ejpam-5819	239	12	family	family	NOUN
ejpam-5819	239	13	of	of	ADP
ejpam-5819	239	14	distributions	distribution	NOUN
ejpam-5819	239	15	can	can	AUX
ejpam-5819	239	16	be	be	AUX
ejpam-5819	239	17	generated	generate	VERB
ejpam-5819	239	18	by	by	ADP
ejpam-5819	239	19	using	use	VERB
ejpam-5819	239	20	the	the	DET
ejpam-5819	239	21	conditional	conditional	ADJ
ejpam-5819	239	22	distribution	distribution	NOUN
ejpam-5819	239	23	method	method	NOUN
ejpam-5819	239	24	.	.	PUNCT
ejpam-5819	240	1	in	in	ADP
ejpam-5819	240	2	this	this	DET
ejpam-5819	240	3	method	method	NOUN
ejpam-5819	240	4	,	,	PUNCT
ejpam-5819	240	5	the	the	DET
ejpam-5819	240	6	random	random	ADJ
ejpam-5819	240	7	sample	sample	NOUN
ejpam-5819	240	8	from	from	ADP
ejpam-5819	240	9	a	a	DET
ejpam-5819	240	10	bivariate	bivariate	ADJ
ejpam-5819	240	11	distribution	distribution	NOUN
ejpam-5819	240	12	is	be	AUX
ejpam-5819	240	13	generated	generate	VERB
ejpam-5819	240	14	by	by	ADP
ejpam-5819	240	15	using	use	VERB
ejpam-5819	240	16	two	two	NUM
ejpam-5819	240	17	steps	step	NOUN
ejpam-5819	240	18	which	which	PRON
ejpam-5819	240	19	are	be	AUX
ejpam-5819	240	20	illustrated	illustrate	VERB
ejpam-5819	240	21	below	below	ADV
ejpam-5819	240	22	:	:	PUNCT
ejpam-5819	240	23	step	step	NOUN
ejpam-5819	240	24	1	1	NUM
ejpam-5819	240	25	:	:	PUNCT
ejpam-5819	240	26	obtain	obtain	VERB
ejpam-5819	240	27	a	a	DET
ejpam-5819	240	28	random	random	ADJ
ejpam-5819	240	29	sample	sample	NOUN
ejpam-5819	240	30	using	use	VERB
ejpam-5819	240	31	the	the	DET
ejpam-5819	240	32	marginal	marginal	ADJ
ejpam-5819	240	33	distribution	distribution	NOUN
ejpam-5819	240	34	of	of	ADP
ejpam-5819	240	35	x.	x.	NOUN
ejpam-5819	240	36	this	this	PRON
ejpam-5819	240	37	is	be	AUX
ejpam-5819	240	38	done	do	VERB
ejpam-5819	240	39	by	by	ADP
ejpam-5819	240	40	equating	equate	VERB
ejpam-5819	240	41	the	the	DET
ejpam-5819	240	42	distribution	distribution	NOUN
ejpam-5819	240	43	function	function	NOUN
ejpam-5819	240	44	of	of	ADP
ejpam-5819	240	45	x	x	PRON
ejpam-5819	240	46	,	,	PUNCT
ejpam-5819	240	47	given	give	VERB
ejpam-5819	240	48	in	in	ADP
ejpam-5819	240	49	(	(	PUNCT
ejpam-5819	240	50	8)	8)	NUM
ejpam-5819	240	51	,	,	PUNCT
ejpam-5819	240	52	to	to	ADP
ejpam-5819	240	53	p1	p1	PROPN
ejpam-5819	240	54	,	,	PUNCT
ejpam-5819	240	55	where	where	SCONJ
ejpam-5819	240	56	p1	p1	PROPN
ejpam-5819	240	57	is	be	AUX
ejpam-5819	240	58	a	a	DET
ejpam-5819	240	59	uniform	uniform	ADJ
ejpam-5819	240	60	random	random	ADJ
ejpam-5819	240	61	variable	variable	NOUN
ejpam-5819	240	62	,	,	PUNCT
ejpam-5819	240	63	and	and	CCONJ
ejpam-5819	240	64	solving	solve	VERB
ejpam-5819	240	65	it	it	PRON
ejpam-5819	240	66	for	for	ADP
ejpam-5819	240	67	x	x	X
ejpam-5819	240	68	,	,	PUNCT
ejpam-5819	240	69	that	that	PRON
ejpam-5819	240	70	is	be	AUX
ejpam-5819	240	71	obtain	obtain	NOUN
ejpam-5819	240	72	x	x	PUNCT
ejpam-5819	240	73	by	by	ADP
ejpam-5819	240	74	solving	solve	VERB
ejpam-5819	240	75	(	(	PUNCT
ejpam-5819	240	76	1	1	NUM
ejpam-5819	240	77	+	+	CCONJ
ejpam-5819	240	78	λ1)g1(x	λ1)g1(x	NUM
ejpam-5819	240	79	)	)	PUNCT
ejpam-5819	241	1	+	+	CCONJ
ejpam-5819	241	2	(	(	PUNCT
ejpam-5819	241	3	λ2	λ2	NOUN
ejpam-5819	241	4	−	−	PROPN
ejpam-5819	241	5	λ1)g	λ1)g	NOUN
ejpam-5819	242	1	2	2	NUM
ejpam-5819	242	2	1(x)−	1(x)−	NUM
ejpam-5819	242	3	λ2	λ2	NOUN
ejpam-5819	242	4	g	g	NOUN
ejpam-5819	242	5	3	3	NUM
ejpam-5819	242	6	1(x	1(x	NUM
ejpam-5819	242	7	)	)	PUNCT
ejpam-5819	243	1	=	=	NOUN
ejpam-5819	243	2	p1	p1	NOUN
ejpam-5819	243	3	δ1g1(x	δ1g1(x	NUM
ejpam-5819	243	4	)	)	PUNCT
ejpam-5819	243	5	+	+	CCONJ
ejpam-5819	244	1	δ2	δ2	VERB
ejpam-5819	244	2	g	g	NOUN
ejpam-5819	244	3	2	2	NUM
ejpam-5819	244	4	1(x)−	1(x)−	NUM
ejpam-5819	244	5	λ2	λ2	NOUN
ejpam-5819	244	6	g	g	NOUN
ejpam-5819	244	7	3	3	NUM
ejpam-5819	244	8	1(x	1(x	NUM
ejpam-5819	244	9	)	)	PUNCT
ejpam-5819	244	10	=	=	NOUN
ejpam-5819	244	11	p1	p1	NOUN
ejpam-5819	244	12	,	,	PUNCT
ejpam-5819	244	13	or	or	CCONJ
ejpam-5819	244	14	λ2	λ2	NOUN
ejpam-5819	244	15	g	g	NOUN
ejpam-5819	244	16	3	3	NUM
ejpam-5819	244	17	1(x)−	1(x)−	NUM
ejpam-5819	244	18	δ2	δ2	VERB
ejpam-5819	244	19	g	g	NOUN
ejpam-5819	244	20	2	2	NUM
ejpam-5819	244	21	1(x)−	1(x)−	NUM
ejpam-5819	244	22	δ1g1(x	δ1g1(x	NUM
ejpam-5819	244	23	)	)	PUNCT
ejpam-5819	245	1	+	+	CCONJ
ejpam-5819	245	2	p1	p1	NOUN
ejpam-5819	245	3	=	=	SYM
ejpam-5819	245	4	0	0	X
ejpam-5819	245	5	.	.	PUNCT
ejpam-5819	245	6	writing	write	VERB
ejpam-5819	245	7	g	g	PROPN
ejpam-5819	245	8	(	(	PUNCT
ejpam-5819	245	9	x	x	NOUN
ejpam-5819	245	10	)	)	PUNCT
ejpam-5819	245	11	=	=	SYM
ejpam-5819	245	12	w	w	NOUN
ejpam-5819	245	13	above	above	ADP
ejpam-5819	245	14	equation	equation	NOUN
ejpam-5819	245	15	can	can	AUX
ejpam-5819	245	16	be	be	AUX
ejpam-5819	245	17	written	write	VERB
ejpam-5819	245	18	as	as	ADP
ejpam-5819	245	19	λ2w	λ2w	PROPN
ejpam-5819	245	20	3	3	NUM
ejpam-5819	245	21	−	−	NOUN
ejpam-5819	245	22	δ2w	δ2w	VERB
ejpam-5819	245	23	2	2	NUM
ejpam-5819	245	24	−	−	PROPN
ejpam-5819	245	25	δ1w	δ1w	PROPN
ejpam-5819	246	1	+	+	CCONJ
ejpam-5819	246	2	p1	p1	PROPN
ejpam-5819	246	3	=	=	SYM
ejpam-5819	246	4	0	0	NUM
ejpam-5819	246	5	,	,	PUNCT
ejpam-5819	246	6	or	or	CCONJ
ejpam-5819	246	7	t1w	t1w	ADP
ejpam-5819	246	8	3	3	NUM
ejpam-5819	246	9	+	+	CCONJ
ejpam-5819	246	10	t2w	t2w	PROPN
ejpam-5819	246	11	2	2	NUM
ejpam-5819	246	12	+	+	CCONJ
ejpam-5819	246	13	t3w	t3w	PRON
ejpam-5819	246	14	+	+	NUM
ejpam-5819	246	15	p1	p1	NOUN
ejpam-5819	246	16	=	=	SYM
ejpam-5819	246	17	0	0	PROPN
ejpam-5819	246	18	,	,	PUNCT
ejpam-5819	246	19	where	where	SCONJ
ejpam-5819	246	20	t1	t1	NOUN
ejpam-5819	246	21	=	=	SYM
ejpam-5819	246	22	λ2	λ2	PROPN
ejpam-5819	246	23	,	,	PUNCT
ejpam-5819	246	24	t2	t2	NOUN
ejpam-5819	246	25	=	=	SYM
ejpam-5819	246	26	−δ2	−δ2	PROPN
ejpam-5819	246	27	,	,	PUNCT
ejpam-5819	246	28	t3	t3	NOUN
ejpam-5819	246	29	=	=	SYM
ejpam-5819	246	30	−δ1	−δ1	PROPN
ejpam-5819	246	31	.	.	PUNCT
ejpam-5819	247	1	in	in	ADP
ejpam-5819	247	2	simplification	simplification	NOUN
ejpam-5819	247	3	,	,	PUNCT
ejpam-5819	247	4	this	this	PRON
ejpam-5819	247	5	can	can	AUX
ejpam-5819	247	6	be	be	AUX
ejpam-5819	247	7	written	write	VERB
ejpam-5819	247	8	as	as	ADP
ejpam-5819	247	9	w	w	PROPN
ejpam-5819	247	10	=	=	SYM
ejpam-5819	247	11	g(x	g(x	NOUN
ejpam-5819	247	12	)	)	PUNCT
ejpam-5819	248	1	=	=	SYM
ejpam-5819	248	2	−	−	PROPN
ejpam-5819	248	3	t2	t2	NOUN
ejpam-5819	248	4	3t1	3t1	NUM
ejpam-5819	248	5	−	−	NUM
ejpam-5819	248	6	2	2	NUM
ejpam-5819	248	7	1	1	NUM
ejpam-5819	248	8	3	3	NUM
ejpam-5819	248	9	ζ1	ζ1	NOUN
ejpam-5819	248	10	3t1ζ	3t1ζ	NOUN
ejpam-5819	248	11	1	1	NUM
ejpam-5819	248	12	3	3	NUM
ejpam-5819	248	13	3	3	NUM
ejpam-5819	248	14	+	+	CCONJ
ejpam-5819	248	15	ζ	ζ	SYM
ejpam-5819	248	16	1	1	NUM
ejpam-5819	248	17	3	3	NUM
ejpam-5819	248	18	3	3	NUM
ejpam-5819	248	19	3×	3×	NUM
ejpam-5819	248	20	2	2	NUM
ejpam-5819	248	21	1	1	NUM
ejpam-5819	248	22	,	,	PUNCT
ejpam-5819	248	23	3t1	3t1	NUM
ejpam-5819	248	24	where	where	SCONJ
ejpam-5819	248	25	ζ1	ζ1	NOUN
ejpam-5819	248	26	=	=	SYM
ejpam-5819	248	27	∣∣−t22	∣∣−t22	X
ejpam-5819	248	28	+	+	PUNCT
ejpam-5819	248	29	3t1t3	3t1t3	NUM
ejpam-5819	248	30	∣∣	∣∣	NUM
ejpam-5819	248	31	,	,	PUNCT
ejpam-5819	248	32	ζ2	ζ2	NOUN
ejpam-5819	248	33	=	=	SYM
ejpam-5819	248	34	−t32	−t32	NOUN
ejpam-5819	248	35	+	+	NOUN
ejpam-5819	248	36	9t1t2t3	9t1t2t3	NUM
ejpam-5819	248	37	−	−	NOUN
ejpam-5819	248	38	27t21p1	27t21p1	NUM
ejpam-5819	248	39	,	,	PUNCT
ejpam-5819	248	40	and	and	CCONJ
ejpam-5819	248	41	a.	a.	NOUN
ejpam-5819	248	42	a.	a.	PROPN
ejpam-5819	248	43	alsalafi	alsalafi	PROPN
ejpam-5819	248	44	,	,	PUNCT
ejpam-5819	248	45	s.	s.	PROPN
ejpam-5819	248	46	h.	h.	PROPN
ejpam-5819	248	47	shahbaz	shahbaz	PROPN
ejpam-5819	248	48	,	,	PUNCT
ejpam-5819	248	49	l.	l.	PROPN
ejpam-5819	248	50	i.	i.	PROPN
ejpam-5819	248	51	al	al	PROPN
ejpam-5819	248	52	-	-	PUNCT
ejpam-5819	248	53	turk	turk	PROPN
ejpam-5819	248	54	/	/	SYM
ejpam-5819	248	55	eur	eur	PROPN
ejpam-5819	248	56	.	.	PUNCT
ejpam-5819	249	1	j.	j.	PROPN
ejpam-5819	249	2	pure	pure	PROPN
ejpam-5819	249	3	appl	appl	PROPN
ejpam-5819	249	4	.	.	PROPN
ejpam-5819	249	5	math	math	PROPN
ejpam-5819	249	6	,	,	PUNCT
ejpam-5819	249	7	18	18	NUM
ejpam-5819	249	8	(	(	PUNCT
ejpam-5819	249	9	2	2	NUM
ejpam-5819	249	10	)	)	PUNCT
ejpam-5819	249	11	(	(	PUNCT
ejpam-5819	249	12	2025	2025	NUM
ejpam-5819	249	13	)	)	PUNCT
ejpam-5819	249	14	,	,	PUNCT
ejpam-5819	249	15	5819	5819	NUM
ejpam-5819	249	16	10	10	NUM
ejpam-5819	249	17	of	of	ADP
ejpam-5819	249	18	28	28	NUM
ejpam-5819	249	19	ζ3	ζ3	NOUN
ejpam-5819	249	20	=	=	PUNCT
ejpam-5819	249	21	ζ2	ζ2	NOUN
ejpam-5819	249	22	+	+	CCONJ
ejpam-5819	249	23	√	√	NOUN
ejpam-5819	249	24	4ζ31	4ζ31	NOUN
ejpam-5819	249	25	+	+	CCONJ
ejpam-5819	249	26	ζ22	ζ22	NOUN
ejpam-5819	249	27	.	.	PUNCT
ejpam-5819	250	1	the	the	DET
ejpam-5819	250	2	quantile	quantile	ADJ
ejpam-5819	250	3	function	function	NOUN
ejpam-5819	250	4	of	of	ADP
ejpam-5819	250	5	the	the	DET
ejpam-5819	250	6	marginal	marginal	ADJ
ejpam-5819	250	7	distribution	distribution	NOUN
ejpam-5819	250	8	of	of	ADP
ejpam-5819	250	9	x	x	PUNCT
ejpam-5819	250	10	in	in	ADP
ejpam-5819	250	11	the	the	DET
ejpam-5819	250	12	bivariate	bivariate	ADJ
ejpam-5819	250	13	cubic	cubic	ADJ
ejpam-5819	250	14	transmuted	transmute	VERB
ejpam-5819	250	15	family	family	NOUN
ejpam-5819	250	16	of	of	ADP
ejpam-5819	250	17	distributions	distribution	NOUN
ejpam-5819	250	18	is	be	AUX
ejpam-5819	250	19	:	:	PUNCT
ejpam-5819	250	20	x	x	X
ejpam-5819	250	21	=	=	PUNCT
ejpam-5819	250	22	g−1[−	g−1[−	NOUN
ejpam-5819	250	23	t2	t2	NOUN
ejpam-5819	250	24	3t1	3t1	NUM
ejpam-5819	250	25	−	−	NUM
ejpam-5819	250	26	2	2	NUM
ejpam-5819	250	27	1	1	NUM
ejpam-5819	250	28	3	3	NUM
ejpam-5819	250	29	ζ1	ζ1	NOUN
ejpam-5819	250	30	3t1ζ	3t1ζ	NOUN
ejpam-5819	250	31	1	1	NUM
ejpam-5819	250	32	3	3	NUM
ejpam-5819	250	33	3	3	NUM
ejpam-5819	250	34	+	+	CCONJ
ejpam-5819	250	35	ζ	ζ	SYM
ejpam-5819	250	36	1	1	NUM
ejpam-5819	250	37	3	3	NUM
ejpam-5819	250	38	3	3	NUM
ejpam-5819	250	39	3×	3×	NUM
ejpam-5819	250	40	2	2	NUM
ejpam-5819	250	41	1	1	NUM
ejpam-5819	250	42	3	3	NUM
ejpam-5819	250	43	t1	t1	NOUN
ejpam-5819	250	44	]	]	X
ejpam-5819	250	45	.	.	PUNCT
ejpam-5819	251	1	(	(	PUNCT
ejpam-5819	251	2	18	18	NUM
ejpam-5819	251	3	)	)	PUNCT
ejpam-5819	251	4	and	and	CCONJ
ejpam-5819	251	5	can	can	AUX
ejpam-5819	251	6	be	be	AUX
ejpam-5819	251	7	computed	compute	VERB
ejpam-5819	251	8	for	for	ADP
ejpam-5819	251	9	any	any	DET
ejpam-5819	251	10	baseline	baseline	ADJ
ejpam-5819	251	11	distribution	distribution	NOUN
ejpam-5819	251	12	.	.	PUNCT
ejpam-5819	252	1	the	the	DET
ejpam-5819	252	2	random	random	ADJ
ejpam-5819	252	3	sample	sample	NOUN
ejpam-5819	252	4	from	from	ADP
ejpam-5819	252	5	the	the	DET
ejpam-5819	252	6	bivariate	bivariate	ADJ
ejpam-5819	252	7	cubic	cubic	ADJ
ejpam-5819	252	8	transmuted	transmute	VERB
ejpam-5819	252	9	family	family	NOUN
ejpam-5819	252	10	of	of	ADP
ejpam-5819	252	11	distributions	distribution	NOUN
ejpam-5819	252	12	can	can	AUX
ejpam-5819	252	13	be	be	AUX
ejpam-5819	252	14	obtained	obtain	VERB
ejpam-5819	252	15	by	by	ADP
ejpam-5819	252	16	using	use	VERB
ejpam-5819	252	17	uniform	uniform	ADJ
ejpam-5819	252	18	random	random	ADJ
ejpam-5819	252	19	numbers	number	NOUN
ejpam-5819	252	20	in	in	ADP
ejpam-5819	252	21	ζ2	ζ2	NOUN
ejpam-5819	252	22	above	above	ADV
ejpam-5819	252	23	and	and	CCONJ
ejpam-5819	252	24	then	then	ADV
ejpam-5819	252	25	using	use	VERB
ejpam-5819	252	26	the	the	DET
ejpam-5819	252	27	quantile	quantile	ADJ
ejpam-5819	252	28	function	function	NOUN
ejpam-5819	252	29	.	.	PUNCT
ejpam-5819	253	1	step	step	NOUN
ejpam-5819	253	2	2	2	NUM
ejpam-5819	253	3	:	:	PUNCT
ejpam-5819	253	4	for	for	ADP
ejpam-5819	253	5	the	the	DET
ejpam-5819	253	6	application	application	NOUN
ejpam-5819	253	7	of	of	ADP
ejpam-5819	253	8	the	the	DET
ejpam-5819	253	9	second	second	ADJ
ejpam-5819	253	10	step	step	NOUN
ejpam-5819	253	11	the	the	DET
ejpam-5819	253	12	conditional	conditional	ADJ
ejpam-5819	253	13	cdf	cdf	PROPN
ejpam-5819	253	14	of	of	ADP
ejpam-5819	253	15	y	y	PROPN
ejpam-5819	253	16	given	give	VERB
ejpam-5819	253	17	x	x	PUNCT
ejpam-5819	254	1	=	=	PUNCT
ejpam-5819	254	2	x	x	VERB
ejpam-5819	254	3	is	be	AUX
ejpam-5819	254	4	needed	need	VERB
ejpam-5819	254	5	and	and	CCONJ
ejpam-5819	254	6	is	be	AUX
ejpam-5819	254	7	obtained	obtain	VERB
ejpam-5819	254	8	as	as	ADP
ejpam-5819	254	9	:	:	PUNCT
ejpam-5819	254	10	fy	fy	PROPN
ejpam-5819	254	11	|x(y	|x(y	PROPN
ejpam-5819	254	12	|x	|x	NOUN
ejpam-5819	254	13	)	)	PUNCT
ejpam-5819	255	1	=	=	SYM
ejpam-5819	255	2	∫	∫	PROPN
ejpam-5819	256	1	y	y	PROPN
ejpam-5819	256	2	−∞	−∞	ADP
ejpam-5819	256	3	fy	fy	PROPN
ejpam-5819	256	4	|x(u|x)du	|x(u|x)du	PROPN
ejpam-5819	256	5	=	=	SYM
ejpam-5819	256	6	∫	∫	PROPN
ejpam-5819	256	7	y	y	PROPN
ejpam-5819	256	8	−∞	−∞	PROPN
ejpam-5819	256	9	g2(u	g2(u	PROPN
ejpam-5819	256	10	)	)	PUNCT
ejpam-5819	256	11	σ	σ	NOUN
ejpam-5819	257	1	[	[	X
ejpam-5819	257	2	η	η	PROPN
ejpam-5819	257	3	+	+	PROPN
ejpam-5819	257	4	2(λ2	2(λ2	NUM
ejpam-5819	257	5	−	−	NOUN
ejpam-5819	257	6	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	257	7	3(λ2	3(λ2	NUM
ejpam-5819	258	1	+	+	CCONJ
ejpam-5819	258	2	λ5)g	λ5)g	PROPN
ejpam-5819	258	3	2	2	NUM
ejpam-5819	258	4	1(x	1(x	NUM
ejpam-5819	258	5	)	)	PUNCT
ejpam-5819	259	1	+	+	CCONJ
ejpam-5819	260	1	2(λ4	2(λ4	NUM
ejpam-5819	260	2	−	−	NOUN
ejpam-5819	260	3	λ3)g2(u)−	λ3)g2(u)−	ADP
ejpam-5819	260	4	3(λ4	3(λ4	NUM
ejpam-5819	261	1	+	+	NUM
ejpam-5819	261	2	λ5)g	λ5)g	NOUN
ejpam-5819	261	3	2	2	NUM
ejpam-5819	261	4	2(u	2(u	NUM
ejpam-5819	261	5	)	)	PUNCT
ejpam-5819	261	6	+	+	CCONJ
ejpam-5819	261	7	9λ5	9λ5	NUM
ejpam-5819	261	8	g	g	NOUN
ejpam-5819	261	9	2	2	NUM
ejpam-5819	261	10	1(x)g	1(x)g	NOUN
ejpam-5819	261	11	2	2	NUM
ejpam-5819	261	12	2(u)]du	2(u)]du	NOUN
ejpam-5819	261	13	,	,	PUNCT
ejpam-5819	261	14	where	where	SCONJ
ejpam-5819	261	15	η	η	X
ejpam-5819	261	16	=	=	SYM
ejpam-5819	261	17	(	(	PUNCT
ejpam-5819	261	18	1	1	NUM
ejpam-5819	261	19	+	+	X
ejpam-5819	261	20	λ1	λ1	ADJ
ejpam-5819	261	21	+	+	NUM
ejpam-5819	261	22	λ3	λ3	PROPN
ejpam-5819	261	23	+	+	CCONJ
ejpam-5819	261	24	λ5	λ5	NOUN
ejpam-5819	261	25	)	)	PUNCT
ejpam-5819	261	26	and	and	CCONJ
ejpam-5819	261	27	σ	σ	NOUN
ejpam-5819	261	28	=	=	PUNCT
ejpam-5819	262	1	[	[	X
ejpam-5819	262	2	1	1	NUM
ejpam-5819	262	3	+	+	NOUN
ejpam-5819	262	4	λ1	λ1	ADJ
ejpam-5819	262	5	−	−	PROPN
ejpam-5819	262	6	2λ1g1(x	2λ1g1(x	NUM
ejpam-5819	262	7	)	)	PUNCT
ejpam-5819	263	1	+	+	CCONJ
ejpam-5819	263	2	2λ2g1(x)−	2λ2g1(x)−	NOUN
ejpam-5819	263	3	3λ2	3λ2	NUM
ejpam-5819	263	4	g	g	PROPN
ejpam-5819	263	5	2	2	NUM
ejpam-5819	263	6	1(x	1(x	NUM
ejpam-5819	263	7	)	)	PUNCT
ejpam-5819	263	8	]	]	PUNCT
ejpam-5819	263	9	making	make	VERB
ejpam-5819	263	10	the	the	DET
ejpam-5819	263	11	transformation	transformation	NOUN
ejpam-5819	263	12	w	w	ADP
ejpam-5819	263	13	=	=	SYM
ejpam-5819	263	14	g2(u	g2(u	PROPN
ejpam-5819	263	15	)	)	PUNCT
ejpam-5819	263	16	,	,	PUNCT
ejpam-5819	263	17	w	w	PROPN
ejpam-5819	263	18	2	2	NUM
ejpam-5819	263	19	=	=	SYM
ejpam-5819	263	20	g2	g2	PROPN
ejpam-5819	263	21	2(u	2(u	NUM
ejpam-5819	263	22	)	)	PUNCT
ejpam-5819	263	23	then	then	ADV
ejpam-5819	263	24	dw	dw	PROPN
ejpam-5819	263	25	=	=	PUNCT
ejpam-5819	263	26	g2(u)du	g2(u)du	PROPN
ejpam-5819	263	27	fy	fy	PROPN
ejpam-5819	263	28	|x(y	|x(y	PROPN
ejpam-5819	263	29	|x	|x	NOUN
ejpam-5819	263	30	)	)	PUNCT
ejpam-5819	263	31	=	=	SYM
ejpam-5819	263	32	1	1	NUM
ejpam-5819	263	33	σ	σ	NUM
ejpam-5819	263	34	∫	∫	PROPN
ejpam-5819	263	35	g2(y	g2(y	X
ejpam-5819	263	36	)	)	PUNCT
ejpam-5819	263	37	0	0	PUNCT
ejpam-5819	264	1	[	[	X
ejpam-5819	264	2	η	η	X
ejpam-5819	264	3	+	+	PROPN
ejpam-5819	264	4	2(λ2	2(λ2	NUM
ejpam-5819	264	5	−	−	NOUN
ejpam-5819	264	6	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	264	7	3(λ2	3(λ2	NUM
ejpam-5819	264	8	+	+	CCONJ
ejpam-5819	264	9	λ5)g	λ5)g	PROPN
ejpam-5819	264	10	2	2	NUM
ejpam-5819	264	11	1(x	1(x	NUM
ejpam-5819	264	12	)	)	PUNCT
ejpam-5819	264	13	+	+	CCONJ
ejpam-5819	264	14	2(λ4	2(λ4	NUM
ejpam-5819	264	15	−	−	NOUN
ejpam-5819	264	16	λ3)w	λ3)w	NOUN
ejpam-5819	264	17	−	−	PROPN
ejpam-5819	264	18	3(λ4	3(λ4	PROPN
ejpam-5819	265	1	+	+	NUM
ejpam-5819	265	2	λ5)w	λ5)w	ADJ
ejpam-5819	265	3	2	2	NUM
ejpam-5819	265	4	+	+	CCONJ
ejpam-5819	265	5	9λ5	9λ5	NUM
ejpam-5819	265	6	g	g	NOUN
ejpam-5819	265	7	2	2	NUM
ejpam-5819	265	8	1(x)w	1(x)w	NOUN
ejpam-5819	265	9	2]dw	2]dw	NUM
ejpam-5819	265	10	=	=	SYM
ejpam-5819	265	11	g2(y	g2(y	PROPN
ejpam-5819	265	12	)	)	PUNCT
ejpam-5819	265	13	σ	σ	PROPN
ejpam-5819	266	1	[	[	X
ejpam-5819	266	2	η	η	PROPN
ejpam-5819	266	3	+	+	PROPN
ejpam-5819	266	4	2(λ2	2(λ2	NUM
ejpam-5819	266	5	−	−	NOUN
ejpam-5819	266	6	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	266	7	3(λ2	3(λ2	NUM
ejpam-5819	267	1	+	+	CCONJ
ejpam-5819	267	2	λ5)g	λ5)g	PROPN
ejpam-5819	267	3	2	2	NUM
ejpam-5819	267	4	1(x	1(x	NUM
ejpam-5819	267	5	)	)	PUNCT
ejpam-5819	268	1	+	+	CCONJ
ejpam-5819	268	2	(	(	PUNCT
ejpam-5819	268	3	λ4	λ4	ADJ
ejpam-5819	268	4	−	−	PROPN
ejpam-5819	268	5	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	268	6	(	(	PUNCT
ejpam-5819	268	7	λ4	λ4	PROPN
ejpam-5819	268	8	+	+	CCONJ
ejpam-5819	268	9	λ5)g	λ5)g	PROPN
ejpam-5819	268	10	2	2	NUM
ejpam-5819	268	11	2(y	2(y	NUM
ejpam-5819	268	12	)	)	PUNCT
ejpam-5819	269	1	+	+	NUM
ejpam-5819	269	2	3λ5	3λ5	NUM
ejpam-5819	269	3	g	g	NOUN
ejpam-5819	269	4	2	2	NUM
ejpam-5819	269	5	1(x)g	1(x)g	NOUN
ejpam-5819	269	6	2	2	NUM
ejpam-5819	269	7	2(y	2(y	NUM
ejpam-5819	269	8	)	)	PUNCT
ejpam-5819	269	9	]	]	PUNCT
ejpam-5819	269	10	.	.	PUNCT
ejpam-5819	270	1	(	(	PUNCT
ejpam-5819	270	2	19	19	NUM
ejpam-5819	270	3	)	)	PUNCT
ejpam-5819	270	4	now	now	ADV
ejpam-5819	270	5	using	use	VERB
ejpam-5819	270	6	random	random	ADJ
ejpam-5819	270	7	observation	observation	NOUN
ejpam-5819	270	8	obtained	obtain	VERB
ejpam-5819	270	9	from	from	ADP
ejpam-5819	270	10	(	(	PUNCT
ejpam-5819	270	11	18	18	NUM
ejpam-5819	270	12	)	)	PUNCT
ejpam-5819	270	13	in	in	ADP
ejpam-5819	270	14	(	(	PUNCT
ejpam-5819	270	15	19	19	NUM
ejpam-5819	270	16	)	)	PUNCT
ejpam-5819	270	17	,	,	PUNCT
ejpam-5819	270	18	and	and	CCONJ
ejpam-5819	270	19	then	then	ADV
ejpam-5819	270	20	setting	set	VERB
ejpam-5819	270	21	fy	fy	PROPN
ejpam-5819	270	22	|x(y	|x(y	PROPN
ejpam-5819	270	23	|x	|x	NOUN
ejpam-5819	270	24	)	)	PUNCT
ejpam-5819	270	25	is	be	AUX
ejpam-5819	270	26	equal	equal	ADJ
ejpam-5819	270	27	to	to	ADP
ejpam-5819	270	28	u	u	NOUN
ejpam-5819	270	29	,	,	PUNCT
ejpam-5819	270	30	where	where	SCONJ
ejpam-5819	270	31	u	u	NOUN
ejpam-5819	270	32	is	be	AUX
ejpam-5819	270	33	a	a	DET
ejpam-5819	270	34	uniform	uniform	ADJ
ejpam-5819	270	35	random	random	ADJ
ejpam-5819	270	36	number	number	NOUN
ejpam-5819	270	37	,	,	PUNCT
ejpam-5819	270	38	and	and	CCONJ
ejpam-5819	270	39	the	the	DET
ejpam-5819	270	40	random	random	ADJ
ejpam-5819	270	41	observation	observation	NOUN
ejpam-5819	270	42	y	y	PROPN
ejpam-5819	270	43	is	be	AUX
ejpam-5819	270	44	obtained	obtain	VERB
ejpam-5819	270	45	by	by	ADP
ejpam-5819	270	46	solving	solve	VERB
ejpam-5819	270	47	u	u	NOUN
ejpam-5819	270	48	=	=	PROPN
ejpam-5819	270	49	g2(y	g2(y	PROPN
ejpam-5819	270	50	)	)	PUNCT
ejpam-5819	270	51	σ	σ	PROPN
ejpam-5819	271	1	[	[	X
ejpam-5819	271	2	η	η	PROPN
ejpam-5819	271	3	+	+	PROPN
ejpam-5819	271	4	2(λ2	2(λ2	NUM
ejpam-5819	271	5	−	−	NOUN
ejpam-5819	271	6	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	271	7	3(λ2	3(λ2	NUM
ejpam-5819	272	1	+	+	CCONJ
ejpam-5819	272	2	λ5)g	λ5)g	PROPN
ejpam-5819	272	3	2	2	NUM
ejpam-5819	272	4	1(x	1(x	NUM
ejpam-5819	272	5	)	)	PUNCT
ejpam-5819	273	1	+	+	CCONJ
ejpam-5819	273	2	(	(	PUNCT
ejpam-5819	273	3	λ4	λ4	ADJ
ejpam-5819	273	4	−	−	PROPN
ejpam-5819	273	5	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	273	6	(	(	PUNCT
ejpam-5819	273	7	λ4	λ4	PROPN
ejpam-5819	273	8	+	+	CCONJ
ejpam-5819	273	9	λ5)g	λ5)g	PROPN
ejpam-5819	273	10	2	2	NUM
ejpam-5819	273	11	2(y	2(y	NUM
ejpam-5819	273	12	)	)	PUNCT
ejpam-5819	274	1	+	+	NUM
ejpam-5819	274	2	3λ5	3λ5	NUM
ejpam-5819	274	3	g	g	NOUN
ejpam-5819	274	4	2	2	NUM
ejpam-5819	274	5	1(x)g	1(x)g	NOUN
ejpam-5819	274	6	2	2	NUM
ejpam-5819	274	7	2(y	2(y	NUM
ejpam-5819	274	8	)	)	PUNCT
ejpam-5819	274	9	]	]	PUNCT
ejpam-5819	274	10	,	,	PUNCT
ejpam-5819	274	11	for	for	ADP
ejpam-5819	274	12	y.the	y.the	DET
ejpam-5819	274	13	solution	solution	NOUN
ejpam-5819	274	14	of	of	ADP
ejpam-5819	274	15	the	the	DET
ejpam-5819	274	16	above	above	ADJ
ejpam-5819	274	17	equation	equation	NOUN
ejpam-5819	274	18	in	in	ADP
ejpam-5819	274	19	terms	term	NOUN
ejpam-5819	274	20	of	of	ADP
ejpam-5819	274	21	g2(y	g2(y	NOUN
ejpam-5819	274	22	)	)	PUNCT
ejpam-5819	274	23	is	be	AUX
ejpam-5819	274	24	uσ	uσ	ADJ
ejpam-5819	274	25	=	=	SYM
ejpam-5819	274	26	g2(y)[η	g2(y)[η	PROPN
ejpam-5819	274	27	+	+	PROPN
ejpam-5819	274	28	2(λ2	2(λ2	NUM
ejpam-5819	275	1	−	−	NOUN
ejpam-5819	276	1	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	277	1	3(λ2	3(λ2	NUM
ejpam-5819	278	1	+	+	CCONJ
ejpam-5819	278	2	λ5)g	λ5)g	PROPN
ejpam-5819	278	3	2	2	NUM
ejpam-5819	278	4	1(x	1(x	NUM
ejpam-5819	278	5	)	)	PUNCT
ejpam-5819	278	6	]	]	PUNCT
ejpam-5819	279	1	+	+	ADV
ejpam-5819	279	2	g2	g2	PROPN
ejpam-5819	279	3	2(y)(λ4	2(y)(λ4	NUM
ejpam-5819	279	4	−	−	PROPN
ejpam-5819	279	5	λ3)−g3	λ3)−g3	X
ejpam-5819	279	6	2(y)[(λ4	2(y)[(λ4	NUM
ejpam-5819	279	7	+	+	NUM
ejpam-5819	279	8	λ5	λ5	NOUN
ejpam-5819	279	9	)	)	PUNCT
ejpam-5819	279	10	+	+	NUM
ejpam-5819	279	11	3λ5	3λ5	NUM
ejpam-5819	279	12	g	g	NOUN
ejpam-5819	279	13	2	2	NUM
ejpam-5819	279	14	1(x	1(x	NUM
ejpam-5819	279	15	)	)	PUNCT
ejpam-5819	279	16	]	]	PUNCT
ejpam-5819	279	17	,	,	PUNCT
ejpam-5819	279	18	a.	a.	PROPN
ejpam-5819	279	19	a.	a.	PROPN
ejpam-5819	279	20	alsalafi	alsalafi	PROPN
ejpam-5819	279	21	,	,	PUNCT
ejpam-5819	279	22	s.	s.	PROPN
ejpam-5819	279	23	h.	h.	PROPN
ejpam-5819	279	24	shahbaz	shahbaz	PROPN
ejpam-5819	279	25	,	,	PUNCT
ejpam-5819	279	26	l.	l.	PROPN
ejpam-5819	279	27	i.	i.	PROPN
ejpam-5819	279	28	al	al	PROPN
ejpam-5819	279	29	-	-	PUNCT
ejpam-5819	279	30	turk	turk	PROPN
ejpam-5819	279	31	/	/	SYM
ejpam-5819	279	32	eur	eur	PROPN
ejpam-5819	279	33	.	.	PUNCT
ejpam-5819	280	1	j.	j.	PROPN
ejpam-5819	280	2	pure	pure	PROPN
ejpam-5819	280	3	appl	appl	PROPN
ejpam-5819	280	4	.	.	PROPN
ejpam-5819	280	5	math	math	PROPN
ejpam-5819	280	6	,	,	PUNCT
ejpam-5819	280	7	18	18	NUM
ejpam-5819	280	8	(	(	PUNCT
ejpam-5819	280	9	2	2	NUM
ejpam-5819	280	10	)	)	PUNCT
ejpam-5819	280	11	(	(	PUNCT
ejpam-5819	280	12	2025	2025	NUM
ejpam-5819	280	13	)	)	PUNCT
ejpam-5819	280	14	,	,	PUNCT
ejpam-5819	280	15	5819	5819	NUM
ejpam-5819	280	16	11	11	NUM
ejpam-5819	280	17	of	of	ADP
ejpam-5819	280	18	28	28	NUM
ejpam-5819	280	19	writing	write	VERB
ejpam-5819	280	20	g2(y	g2(y	NOUN
ejpam-5819	280	21	)	)	PUNCT
ejpam-5819	280	22	=	=	SYM
ejpam-5819	280	23	w1	w1	NOUN
ejpam-5819	280	24	above	above	ADP
ejpam-5819	280	25	equation	equation	NOUN
ejpam-5819	280	26	can	can	AUX
ejpam-5819	280	27	be	be	AUX
ejpam-5819	280	28	written	write	VERB
ejpam-5819	280	29	as	as	ADP
ejpam-5819	280	30	r1w	r1w	NOUN
ejpam-5819	280	31	3	3	NUM
ejpam-5819	280	32	1	1	NUM
ejpam-5819	280	33	+	+	CCONJ
ejpam-5819	280	34	r2w	r2w	PUNCT
ejpam-5819	280	35	2	2	NUM
ejpam-5819	280	36	1	1	NUM
ejpam-5819	280	37	+	+	CCONJ
ejpam-5819	280	38	r3w1	r3w1	X
ejpam-5819	280	39	+	+	ADJ
ejpam-5819	280	40	p2	p2	X
ejpam-5819	280	41	=	=	SYM
ejpam-5819	280	42	0	0	NUM
ejpam-5819	280	43	,	,	PUNCT
ejpam-5819	280	44	where	where	SCONJ
ejpam-5819	280	45	r1	r1	NOUN
ejpam-5819	280	46	=	=	PUNCT
ejpam-5819	281	1	[	[	X
ejpam-5819	281	2	(	(	PUNCT
ejpam-5819	281	3	λ4	λ4	PROPN
ejpam-5819	281	4	+	+	CCONJ
ejpam-5819	281	5	λ5	λ5	NOUN
ejpam-5819	281	6	)	)	PUNCT
ejpam-5819	281	7	+	+	NUM
ejpam-5819	281	8	3λ5	3λ5	NUM
ejpam-5819	281	9	g	g	NOUN
ejpam-5819	281	10	2	2	NUM
ejpam-5819	281	11	1(x	1(x	NUM
ejpam-5819	281	12	)	)	PUNCT
ejpam-5819	281	13	]	]	PUNCT
ejpam-5819	281	14	,	,	PUNCT
ejpam-5819	281	15	r2	r2	PROPN
ejpam-5819	281	16	=	=	SYM
ejpam-5819	281	17	−(λ4	−(λ4	NUM
ejpam-5819	281	18	−	−	PROPN
ejpam-5819	281	19	λ3),r3	λ3),r3	X
ejpam-5819	281	20	=	=	PUNCT
ejpam-5819	281	21	−[η	−[η	PROPN
ejpam-5819	281	22	+	+	CCONJ
ejpam-5819	281	23	2(λ2	2(λ2	NUM
ejpam-5819	282	1	−	−	NOUN
ejpam-5819	282	2	λ1)g1(x)−	λ1)g1(x)−	PROPN
ejpam-5819	282	3	3(λ2	3(λ2	NUM
ejpam-5819	283	1	+	+	CCONJ
ejpam-5819	283	2	λ5)g	λ5)g	PROPN
ejpam-5819	283	3	2	2	NUM
ejpam-5819	283	4	1(x	1(x	NUM
ejpam-5819	283	5	)	)	PUNCT
ejpam-5819	283	6	]	]	PUNCT
ejpam-5819	283	7	,	,	PUNCT
ejpam-5819	283	8	p2	p2	PROPN
ejpam-5819	283	9	=	=	SYM
ejpam-5819	283	10	uσ	uσ	PROPN
ejpam-5819	283	11	.	.	PROPN
ejpam-5819	283	12	in	in	ADP
ejpam-5819	283	13	simplification	simplification	NOUN
ejpam-5819	283	14	,	,	PUNCT
ejpam-5819	283	15	this	this	PRON
ejpam-5819	283	16	can	can	AUX
ejpam-5819	283	17	be	be	AUX
ejpam-5819	283	18	written	write	VERB
ejpam-5819	283	19	as	as	ADP
ejpam-5819	283	20	w1	w1	NOUN
ejpam-5819	283	21	=	=	SYM
ejpam-5819	283	22	g2(y	g2(y	PROPN
ejpam-5819	283	23	)	)	PUNCT
ejpam-5819	283	24	=	=	SYM
ejpam-5819	283	25	−	−	PROPN
ejpam-5819	283	26	r2	r2	PROPN
ejpam-5819	283	27	3r1	3r1	NUM
ejpam-5819	283	28	−	−	NOUN
ejpam-5819	283	29	2	2	NUM
ejpam-5819	283	30	1	1	NUM
ejpam-5819	283	31	3ϖ1	3ϖ1	NUM
ejpam-5819	283	32	3r1ϖ	3r1ϖ	NOUN
ejpam-5819	283	33	1	1	NUM
ejpam-5819	283	34	3	3	NUM
ejpam-5819	283	35	3	3	NUM
ejpam-5819	283	36	+	+	CCONJ
ejpam-5819	283	37	ϖ	ϖ	SYM
ejpam-5819	283	38	1	1	NUM
ejpam-5819	283	39	3	3	NUM
ejpam-5819	283	40	3	3	NUM
ejpam-5819	283	41	3×	3×	NUM
ejpam-5819	283	42	2	2	NUM
ejpam-5819	283	43	1	1	NUM
ejpam-5819	283	44	3	3	NUM
ejpam-5819	283	45	r1	r1	NOUN
ejpam-5819	283	46	,	,	PUNCT
ejpam-5819	283	47	where	where	SCONJ
ejpam-5819	283	48	ϖ1	ϖ1	NOUN
ejpam-5819	283	49	=	=	PUNCT
ejpam-5819	283	50	∣∣−r22	∣∣−r22	NUM
ejpam-5819	283	51	+	+	NUM
ejpam-5819	283	52	3r1r3	3r1r3	NUM
ejpam-5819	283	53	∣∣	∣∣	NUM
ejpam-5819	283	54	,	,	PUNCT
ejpam-5819	283	55	ϖ2	ϖ2	NOUN
ejpam-5819	283	56	=	=	PUNCT
ejpam-5819	283	57	−r32	−r32	PROPN
ejpam-5819	284	1	+	+	CCONJ
ejpam-5819	284	2	9r1r2r3	9r1r2r3	NUM
ejpam-5819	284	3	−	−	NOUN
ejpam-5819	284	4	27r21p2	27r21p2	NUM
ejpam-5819	284	5	,	,	PUNCT
ejpam-5819	284	6	and	and	CCONJ
ejpam-5819	284	7	ϖ3	ϖ3	NOUN
ejpam-5819	284	8	=	=	PUNCT
ejpam-5819	284	9	ϖ2	ϖ2	PROPN
ejpam-5819	284	10	+	+	CCONJ
ejpam-5819	284	11	√	√	PROPN
ejpam-5819	284	12	4ϖ3	4ϖ3	NUM
ejpam-5819	284	13	1	1	NUM
ejpam-5819	285	1	+	+	NOUN
ejpam-5819	285	2	ϖ2	ϖ2	NOUN
ejpam-5819	285	3	2	2	NUM
ejpam-5819	285	4	,	,	PUNCT
ejpam-5819	286	1	so	so	ADV
ejpam-5819	286	2	y	y	NOUN
ejpam-5819	286	3	=	=	SYM
ejpam-5819	286	4	g−1	g−1	PROPN
ejpam-5819	286	5	2	2	NUM
ejpam-5819	287	1	[	[	X
ejpam-5819	287	2	−	−	PROPN
ejpam-5819	287	3	r2	r2	PROPN
ejpam-5819	287	4	3r1	3r1	NUM
ejpam-5819	287	5	−	−	NOUN
ejpam-5819	287	6	2	2	NUM
ejpam-5819	287	7	1	1	NUM
ejpam-5819	287	8	3ϖ1	3ϖ1	NUM
ejpam-5819	287	9	3r1ϖ	3r1ϖ	NOUN
ejpam-5819	287	10	1	1	NUM
ejpam-5819	287	11	3	3	NUM
ejpam-5819	287	12	3	3	NUM
ejpam-5819	287	13	+	+	CCONJ
ejpam-5819	287	14	ϖ	ϖ	SYM
ejpam-5819	287	15	1	1	NUM
ejpam-5819	287	16	3	3	NUM
ejpam-5819	287	17	3	3	NUM
ejpam-5819	287	18	3×	3×	NUM
ejpam-5819	287	19	2	2	NUM
ejpam-5819	287	20	1	1	NUM
ejpam-5819	287	21	3	3	NUM
ejpam-5819	287	22	r1	r1	NOUN
ejpam-5819	287	23	]	]	PUNCT
ejpam-5819	287	24	.	.	PUNCT
ejpam-5819	288	1	(	(	PUNCT
ejpam-5819	288	2	20	20	NUM
ejpam-5819	288	3	)	)	PUNCT
ejpam-5819	288	4	thus	thus	ADV
ejpam-5819	288	5	,	,	PUNCT
ejpam-5819	288	6	the	the	DET
ejpam-5819	288	7	random	random	ADJ
ejpam-5819	288	8	observation	observation	NOUN
ejpam-5819	288	9	y	y	PROPN
ejpam-5819	288	10	can	can	AUX
ejpam-5819	288	11	be	be	AUX
ejpam-5819	288	12	obtained	obtain	VERB
ejpam-5819	288	13	from	from	ADP
ejpam-5819	288	14	(	(	PUNCT
ejpam-5819	288	15	20	20	NUM
ejpam-5819	288	16	)	)	PUNCT
ejpam-5819	288	17	for	for	ADP
ejpam-5819	288	18	any	any	DET
ejpam-5819	288	19	baseline	baseline	ADJ
ejpam-5819	288	20	distribution	distribution	NOUN
ejpam-5819	288	21	g2(y	g2(y	NOUN
ejpam-5819	288	22	)	)	PUNCT
ejpam-5819	288	23	and	and	CCONJ
ejpam-5819	288	24	different	different	ADJ
ejpam-5819	288	25	parameter	parameter	NOUN
ejpam-5819	288	26	choices	choice	NOUN
ejpam-5819	288	27	.	.	PUNCT
ejpam-5819	289	1	4.5	4.5	NUM
ejpam-5819	289	2	.	.	PUNCT
ejpam-5819	290	1	the	the	DET
ejpam-5819	290	2	dependence	dependence	NOUN
ejpam-5819	290	3	measures	measure	NOUN
ejpam-5819	290	4	in	in	ADP
ejpam-5819	290	5	this	this	DET
ejpam-5819	290	6	section	section	NOUN
ejpam-5819	290	7	,	,	PUNCT
ejpam-5819	290	8	three	three	NUM
ejpam-5819	290	9	important	important	ADJ
ejpam-5819	290	10	dependence	dependence	NOUN
ejpam-5819	290	11	measures	measure	NOUN
ejpam-5819	290	12	are	be	AUX
ejpam-5819	290	13	obtained	obtain	VERB
ejpam-5819	290	14	for	for	ADP
ejpam-5819	290	15	the	the	DET
ejpam-5819	290	16	bivariate	bivariate	ADJ
ejpam-5819	290	17	cubic	cubic	ADJ
ejpam-5819	290	18	transmuted	transmute	VERB
ejpam-5819	290	19	family	family	NOUN
ejpam-5819	290	20	of	of	ADP
ejpam-5819	290	21	distributions	distribution	NOUN
ejpam-5819	290	22	are	be	AUX
ejpam-5819	290	23	obtained	obtain	VERB
ejpam-5819	290	24	.	.	PUNCT
ejpam-5819	291	1	these	these	DET
ejpam-5819	291	2	dependence	dependence	NOUN
ejpam-5819	291	3	measures	measure	NOUN
ejpam-5819	291	4	include	include	VERB
ejpam-5819	291	5	kendall	kendall	PROPN
ejpam-5819	291	6	’s	’s	PART
ejpam-5819	291	7	τ	τ	PROPN
ejpam-5819	291	8	,	,	PUNCT
ejpam-5819	291	9	spearman	spearman	NOUN
ejpam-5819	291	10	’s	’s	PART
ejpam-5819	291	11	ρ	ρ	NOUN
ejpam-5819	291	12	,	,	PUNCT
ejpam-5819	291	13	and	and	CCONJ
ejpam-5819	291	14	local	local	ADJ
ejpam-5819	291	15	dependence	dependence	NOUN
ejpam-5819	291	16	measures	measure	NOUN
ejpam-5819	291	17	.	.	PUNCT
ejpam-5819	292	1	the	the	DET
ejpam-5819	292	2	results	result	NOUN
ejpam-5819	292	3	for	for	ADP
ejpam-5819	292	4	the	the	DET
ejpam-5819	292	5	measures	measure	NOUN
ejpam-5819	292	6	of	of	ADP
ejpam-5819	292	7	dependence	dependence	NOUN
ejpam-5819	292	8	are	be	AUX
ejpam-5819	292	9	derived	derive	VERB
ejpam-5819	292	10	in	in	ADP
ejpam-5819	292	11	the	the	DET
ejpam-5819	292	12	following	follow	VERB
ejpam-5819	292	13	subsections	subsection	NOUN
ejpam-5819	292	14	.	.	PUNCT
ejpam-5819	293	1	4.5.1	4.5.1	X
ejpam-5819	293	2	.	.	PUNCT
ejpam-5819	294	1	kendall	kendall	PROPN
ejpam-5819	294	2	’s	’s	PART
ejpam-5819	294	3	tau	tau	PROPN
ejpam-5819	294	4	coefficient	coefficient	PROPN
ejpam-5819	294	5	kendall	kendall	PROPN
ejpam-5819	294	6	’s	’s	PART
ejpam-5819	294	7	τ	τ	PROPN
ejpam-5819	294	8	for	for	ADP
ejpam-5819	294	9	the	the	DET
ejpam-5819	294	10	bct	bct	PROPN
ejpam-5819	294	11	family	family	NOUN
ejpam-5819	294	12	proposal	proposal	NOUN
ejpam-5819	294	13	in	in	ADP
ejpam-5819	294	14	the	the	DET
ejpam-5819	294	15	following	following	NOUN
ejpam-5819	294	16	theorem	theorem	NOUN
ejpam-5819	294	17	:	:	PUNCT
ejpam-5819	294	18	theorem	theorem	NOUN
ejpam-5819	294	19	5	5	NUM
ejpam-5819	294	20	.	.	PUNCT
ejpam-5819	295	1	let	let	VERB
ejpam-5819	295	2	x	x	PRON
ejpam-5819	295	3	and	and	CCONJ
ejpam-5819	295	4	y	y	PROPN
ejpam-5819	295	5	be	be	AUX
ejpam-5819	295	6	two	two	NUM
ejpam-5819	295	7	random	random	ADJ
ejpam-5819	295	8	variables	variable	NOUN
ejpam-5819	295	9	that	that	PRON
ejpam-5819	295	10	have	have	VERB
ejpam-5819	295	11	a	a	DET
ejpam-5819	295	12	bivariate	bivariate	ADJ
ejpam-5819	295	13	cubic	cubic	ADJ
ejpam-5819	295	14	transmuted	transmute	VERB
ejpam-5819	295	15	family	family	NOUN
ejpam-5819	295	16	of	of	ADP
ejpam-5819	295	17	distributions	distribution	NOUN
ejpam-5819	295	18	.	.	PUNCT
ejpam-5819	296	1	the	the	DET
ejpam-5819	296	2	kendall	kendall	PROPN
ejpam-5819	296	3	’s	’s	PART
ejpam-5819	296	4	τ	τ	PROPN
ejpam-5819	296	5	for	for	ADP
ejpam-5819	296	6	the	the	DET
ejpam-5819	296	7	variables	variable	NOUN
ejpam-5819	296	8	x	x	PUNCT
ejpam-5819	296	9	and	and	CCONJ
ejpam-5819	296	10	y	y	PROPN
ejpam-5819	296	11	are	be	AUX
ejpam-5819	296	12	then	then	ADV
ejpam-5819	296	13	given	give	VERB
ejpam-5819	296	14	as	as	ADP
ejpam-5819	296	15	:	:	PUNCT
ejpam-5819	296	16	τ	τ	X
ejpam-5819	296	17	=	=	SYM
ejpam-5819	296	18	5	5	NUM
ejpam-5819	296	19	90	90	NUM
ejpam-5819	296	20	[	[	PUNCT
ejpam-5819	296	21	(	(	PUNCT
ejpam-5819	296	22	2λ1	2λ1	NUM
ejpam-5819	296	23	+	+	NUM
ejpam-5819	296	24	λ2)(2λ3	λ2)(2λ3	NOUN
ejpam-5819	296	25	+	+	CCONJ
ejpam-5819	296	26	λ4)−	λ4)−	VERB
ejpam-5819	296	27	3λ5(15−	3λ5(15−	PRON
ejpam-5819	296	28	λ1	λ1	ADJ
ejpam-5819	296	29	+	+	CCONJ
ejpam-5819	296	30	λ2	λ2	PROPN
ejpam-5819	296	31	−	−	PROPN
ejpam-5819	297	1	λ3	λ3	PROPN
ejpam-5819	297	2	+	+	CCONJ
ejpam-5819	297	3	λ4	λ4	PROPN
ejpam-5819	297	4	)	)	PUNCT
ejpam-5819	297	5	]	]	PUNCT
ejpam-5819	297	6	.	.	PUNCT
ejpam-5819	298	1	(	(	PUNCT
ejpam-5819	298	2	21	21	NUM
ejpam-5819	298	3	)	)	PUNCT
ejpam-5819	298	4	proof	proof	NOUN
ejpam-5819	298	5	.	.	PUNCT
ejpam-5819	299	1	the	the	DET
ejpam-5819	299	2	kendall	kendall	PROPN
ejpam-5819	299	3	’s	’s	PART
ejpam-5819	299	4	the	the	DET
ejpam-5819	299	5	kendall	kendall	PROPN
ejpam-5819	299	6	’s	’s	PART
ejpam-5819	299	7	τ	τ	PROPN
ejpam-5819	299	8	coefficient	coefficient	NOUN
ejpam-5819	299	9	for	for	ADP
ejpam-5819	299	10	two	two	NUM
ejpam-5819	299	11	continuous	continuous	ADJ
ejpam-5819	299	12	random	random	ADJ
ejpam-5819	299	13	variables	variable	NOUN
ejpam-5819	299	14	is	be	AUX
ejpam-5819	299	15	computed	compute	VERB
ejpam-5819	299	16	by	by	ADP
ejpam-5819	299	17	using	use	VERB
ejpam-5819	299	18	:	:	PUNCT
ejpam-5819	299	19	τ	τ	PROPN
ejpam-5819	299	20	=	=	SYM
ejpam-5819	299	21	4	4	NUM
ejpam-5819	299	22	∫	∫	NOUN
ejpam-5819	299	23	∞	∞	PROPN
ejpam-5819	300	1	−∞	−∞	X
ejpam-5819	300	2	∫	∫	PROPN
ejpam-5819	300	3	∞	∞	PROPN
ejpam-5819	300	4	−∞	−∞	ADP
ejpam-5819	300	5	fx	fx	PROPN
ejpam-5819	300	6	,	,	PUNCT
ejpam-5819	300	7	y	y	PROPN
ejpam-5819	300	8	(	(	PUNCT
ejpam-5819	300	9	x	x	PROPN
ejpam-5819	300	10	,	,	PUNCT
ejpam-5819	300	11	y)fx	y)fx	PROPN
ejpam-5819	300	12	,	,	PUNCT
ejpam-5819	300	13	y	y	PROPN
ejpam-5819	300	14	(	(	PUNCT
ejpam-5819	300	15	x	x	PROPN
ejpam-5819	300	16	,	,	PUNCT
ejpam-5819	300	17	y)dxdy	y)dxdy	PROPN
ejpam-5819	300	18	−	−	PROPN
ejpam-5819	300	19	1	1	NUM
ejpam-5819	300	20	,	,	PUNCT
ejpam-5819	300	21	a.	a.	NOUN
ejpam-5819	300	22	a.	a.	NOUN
ejpam-5819	300	23	alsalafi	alsalafi	PROPN
ejpam-5819	300	24	,	,	PUNCT
ejpam-5819	300	25	s.	s.	PROPN
ejpam-5819	300	26	h.	h.	PROPN
ejpam-5819	300	27	shahbaz	shahbaz	PROPN
ejpam-5819	300	28	,	,	PUNCT
ejpam-5819	300	29	l.	l.	PROPN
ejpam-5819	300	30	i.	i.	PROPN
ejpam-5819	300	31	al	al	PROPN
ejpam-5819	300	32	-	-	PUNCT
ejpam-5819	300	33	turk	turk	PROPN
ejpam-5819	300	34	/	/	SYM
ejpam-5819	300	35	eur	eur	PROPN
ejpam-5819	300	36	.	.	PUNCT
ejpam-5819	301	1	j.	j.	PROPN
ejpam-5819	301	2	pure	pure	PROPN
ejpam-5819	301	3	appl	appl	PROPN
ejpam-5819	301	4	.	.	PROPN
ejpam-5819	301	5	math	math	PROPN
ejpam-5819	301	6	,	,	PUNCT
ejpam-5819	301	7	18	18	NUM
ejpam-5819	301	8	(	(	PUNCT
ejpam-5819	301	9	2	2	NUM
ejpam-5819	301	10	)	)	PUNCT
ejpam-5819	301	11	(	(	PUNCT
ejpam-5819	301	12	2025	2025	NUM
ejpam-5819	301	13	)	)	PUNCT
ejpam-5819	301	14	,	,	PUNCT
ejpam-5819	301	15	5819	5819	NUM
ejpam-5819	301	16	12	12	NUM
ejpam-5819	301	17	of	of	ADP
ejpam-5819	301	18	28	28	NUM
ejpam-5819	301	19	using	use	VERB
ejpam-5819	301	20	(	(	PUNCT
ejpam-5819	301	21	6	6	NUM
ejpam-5819	301	22	)	)	PUNCT
ejpam-5819	301	23	and	and	CCONJ
ejpam-5819	301	24	(	(	PUNCT
ejpam-5819	301	25	7	7	NUM
ejpam-5819	301	26	)	)	PUNCT
ejpam-5819	301	27	,	,	PUNCT
ejpam-5819	301	28	the	the	DET
ejpam-5819	301	29	above	above	ADJ
ejpam-5819	301	30	integral	integral	ADJ
ejpam-5819	301	31	becomes	become	VERB
ejpam-5819	301	32	τ	τ	PROPN
ejpam-5819	301	33	=	=	SYM
ejpam-5819	301	34	4	4	NUM
ejpam-5819	301	35	∫	∫	NOUN
ejpam-5819	301	36	∞	∞	PROPN
ejpam-5819	301	37	−∞	−∞	X
ejpam-5819	301	38	∫	∫	PROPN
ejpam-5819	301	39	∞	∞	PROPN
ejpam-5819	302	1	−∞	−∞	X
ejpam-5819	302	2	[	[	X
ejpam-5819	302	3	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	302	4	+	+	CCONJ
ejpam-5819	302	5	λ1	λ1	PROPN
ejpam-5819	302	6	−	−	PROPN
ejpam-5819	302	7	λ1g1(x	λ1g1(x	NOUN
ejpam-5819	302	8	)	)	PUNCT
ejpam-5819	303	1	+	+	CCONJ
ejpam-5819	303	2	λ2g1(x)−	λ2g1(x)−	X
ejpam-5819	303	3	λ2	λ2	NOUN
ejpam-5819	303	4	g	g	NOUN
ejpam-5819	303	5	2	2	NUM
ejpam-5819	303	6	1(x	1(x	NUM
ejpam-5819	303	7	)	)	PUNCT
ejpam-5819	304	1	+	+	CCONJ
ejpam-5819	305	1	λ3	λ3	PROPN
ejpam-5819	305	2	−	−	PROPN
ejpam-5819	305	3	λ3g2(y	λ3g2(y	PROPN
ejpam-5819	305	4	)	)	PUNCT
ejpam-5819	305	5	+	+	NUM
ejpam-5819	306	1	λ4g2(y)−	λ4g2(y)−	NUM
ejpam-5819	306	2	λ4	λ4	ADJ
ejpam-5819	306	3	g	g	ADP
ejpam-5819	306	4	2	2	NUM
ejpam-5819	306	5	2(y	2(y	NUM
ejpam-5819	306	6	)	)	PUNCT
ejpam-5819	307	1	+	+	CCONJ
ejpam-5819	307	2	λ5	λ5	NOUN
ejpam-5819	307	3	−	−	NOUN
ejpam-5819	307	4	λ5	λ5	NOUN
ejpam-5819	307	5	g	g	PROPN
ejpam-5819	307	6	2	2	NUM
ejpam-5819	307	7	1(x)−	1(x)−	NUM
ejpam-5819	307	8	λ5	λ5	NOUN
ejpam-5819	307	9	g	g	PROPN
ejpam-5819	307	10	2	2	NUM
ejpam-5819	307	11	2(y	2(y	NUM
ejpam-5819	307	12	)	)	PUNCT
ejpam-5819	308	1	+	+	CCONJ
ejpam-5819	308	2	λ5	λ5	NOUN
ejpam-5819	308	3	g	g	PROPN
ejpam-5819	308	4	2	2	NUM
ejpam-5819	308	5	1(x)g	1(x)g	NOUN
ejpam-5819	308	6	2	2	NUM
ejpam-5819	308	7	2(y	2(y	NUM
ejpam-5819	308	8	)	)	PUNCT
ejpam-5819	308	9	]	]	PUNCT
ejpam-5819	309	1	×	×	PROPN
ejpam-5819	309	2	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	309	3	+	+	CCONJ
ejpam-5819	309	4	λ1	λ1	PROPN
ejpam-5819	309	5	−	−	PROPN
ejpam-5819	309	6	2λ1g1(x	2λ1g1(x	NUM
ejpam-5819	309	7	)	)	PUNCT
ejpam-5819	310	1	+	+	CCONJ
ejpam-5819	310	2	2λ2g1(x)−	2λ2g1(x)−	NOUN
ejpam-5819	310	3	3λ2	3λ2	NUM
ejpam-5819	310	4	g	g	PROPN
ejpam-5819	310	5	2	2	NUM
ejpam-5819	310	6	1(x	1(x	NUM
ejpam-5819	310	7	)	)	PUNCT
ejpam-5819	311	1	+	+	CCONJ
ejpam-5819	311	2	λ3	λ3	PROPN
ejpam-5819	311	3	−	−	PROPN
ejpam-5819	311	4	2λ3g2(y	2λ3g2(y	NOUN
ejpam-5819	311	5	)	)	PUNCT
ejpam-5819	312	1	+	+	CCONJ
ejpam-5819	312	2	2λ4g2(y)−	2λ4g2(y)−	NUM
ejpam-5819	312	3	3λ4	3λ4	NUM
ejpam-5819	312	4	g	g	PROPN
ejpam-5819	312	5	2	2	NUM
ejpam-5819	312	6	2(y	2(y	NUM
ejpam-5819	312	7	)	)	PUNCT
ejpam-5819	313	1	+	+	CCONJ
ejpam-5819	313	2	λ5	λ5	NOUN
ejpam-5819	313	3	−	−	NOUN
ejpam-5819	313	4	3λ5	3λ5	NUM
ejpam-5819	313	5	g	g	PROPN
ejpam-5819	313	6	2	2	NUM
ejpam-5819	313	7	1(x)−	1(x)−	NUM
ejpam-5819	313	8	3λ5	3λ5	NUM
ejpam-5819	313	9	g	g	PROPN
ejpam-5819	313	10	2	2	NUM
ejpam-5819	313	11	2(y	2(y	NUM
ejpam-5819	313	12	)	)	PUNCT
ejpam-5819	314	1	+	+	CCONJ
ejpam-5819	314	2	9λ5	9λ5	NUM
ejpam-5819	314	3	g	g	NOUN
ejpam-5819	314	4	2	2	NUM
ejpam-5819	314	5	1(x)g	1(x)g	NOUN
ejpam-5819	314	6	2	2	NUM
ejpam-5819	314	7	2(y)]]dxdy	2(y)]]dxdy	NUM
ejpam-5819	314	8	−	−	NOUN
ejpam-5819	314	9	1	1	NUM
ejpam-5819	314	10	,	,	PUNCT
ejpam-5819	314	11	making	make	VERB
ejpam-5819	314	12	the	the	DET
ejpam-5819	314	13	transformation	transformation	NOUN
ejpam-5819	314	14	u	u	NOUN
ejpam-5819	314	15	=	=	NOUN
ejpam-5819	314	16	g1(x	g1(x	NOUN
ejpam-5819	314	17	)	)	PUNCT
ejpam-5819	314	18	and	and	CCONJ
ejpam-5819	314	19	v	v	X
ejpam-5819	314	20	=	=	SYM
ejpam-5819	314	21	g2(y	g2(y	PROPN
ejpam-5819	314	22	)	)	PUNCT
ejpam-5819	314	23	,	,	PUNCT
ejpam-5819	314	24	we	we	PRON
ejpam-5819	314	25	then	then	ADV
ejpam-5819	314	26	interpret	interpret	VERB
ejpam-5819	314	27	as	as	ADP
ejpam-5819	314	28	:	:	PUNCT
ejpam-5819	314	29	τ	τ	PROPN
ejpam-5819	314	30	=	=	SYM
ejpam-5819	314	31	4	4	NUM
ejpam-5819	314	32	∫	∫	NOUN
ejpam-5819	314	33	1	1	NUM
ejpam-5819	314	34	0	0	NUM
ejpam-5819	314	35	∫	∫	PROPN
ejpam-5819	314	36	1	1	NUM
ejpam-5819	314	37	0	0	NUM
ejpam-5819	315	1	[	[	X
ejpam-5819	315	2	[	[	PUNCT
ejpam-5819	315	3	uv(1	uv(1	PROPN
ejpam-5819	315	4	+	+	CCONJ
ejpam-5819	315	5	λ1	λ1	PROPN
ejpam-5819	315	6	+	+	NUM
ejpam-5819	315	7	λ3	λ3	PROPN
ejpam-5819	315	8	+	+	CCONJ
ejpam-5819	315	9	λ5	λ5	NOUN
ejpam-5819	315	10	)	)	PUNCT
ejpam-5819	316	1	+	+	CCONJ
ejpam-5819	316	2	(	(	PUNCT
ejpam-5819	316	3	λ2	λ2	NOUN
ejpam-5819	316	4	−	−	PROPN
ejpam-5819	316	5	λ1)u	λ1)u	PROPN
ejpam-5819	316	6	2v	2v	PROPN
ejpam-5819	316	7	−	−	PROPN
ejpam-5819	316	8	(	(	PUNCT
ejpam-5819	316	9	λ2	λ2	NOUN
ejpam-5819	316	10	+	+	CCONJ
ejpam-5819	316	11	λ5)u	λ5)u	ADJ
ejpam-5819	316	12	3v	3v	NUM
ejpam-5819	316	13	−	−	PROPN
ejpam-5819	316	14	(	(	PUNCT
ejpam-5819	316	15	λ3	λ3	PROPN
ejpam-5819	316	16	−	−	PROPN
ejpam-5819	316	17	λ4)uv	λ4)uv	PROPN
ejpam-5819	316	18	2	2	NUM
ejpam-5819	316	19	−	−	NOUN
ejpam-5819	316	20	(	(	PUNCT
ejpam-5819	316	21	λ4	λ4	PROPN
ejpam-5819	316	22	+	+	CCONJ
ejpam-5819	316	23	λ5)uv	λ5)uv	PROPN
ejpam-5819	316	24	3	3	NUM
ejpam-5819	316	25	+	+	CCONJ
ejpam-5819	316	26	λ5u	λ5u	X
ejpam-5819	316	27	3v3	3v3	NUM
ejpam-5819	316	28	]	]	X
ejpam-5819	316	29	×	×	NOUN
ejpam-5819	316	30	[	[	PUNCT
ejpam-5819	316	31	(	(	PUNCT
ejpam-5819	316	32	1	1	NUM
ejpam-5819	316	33	+	+	NUM
ejpam-5819	316	34	λ1	λ1	ADJ
ejpam-5819	316	35	+	+	NUM
ejpam-5819	316	36	λ3	λ3	PROPN
ejpam-5819	316	37	+	+	CCONJ
ejpam-5819	316	38	λ5	λ5	NOUN
ejpam-5819	316	39	)	)	PUNCT
ejpam-5819	317	1	+	+	CCONJ
ejpam-5819	317	2	2(λ2	2(λ2	NUM
ejpam-5819	317	3	−	−	NOUN
ejpam-5819	317	4	λ1)u−	λ1)u−	X
ejpam-5819	317	5	3(λ2	3(λ2	NUM
ejpam-5819	318	1	+	+	CCONJ
ejpam-5819	318	2	λ5)u	λ5)u	ADJ
ejpam-5819	318	3	2	2	NUM
ejpam-5819	318	4	−	−	NUM
ejpam-5819	318	5	2(λ3	2(λ3	NUM
ejpam-5819	318	6	−	−	PROPN
ejpam-5819	319	1	λ4)v	λ4)v	NOUN
ejpam-5819	319	2	−	−	PROPN
ejpam-5819	319	3	3(λ4	3(λ4	PROPN
ejpam-5819	320	1	+	+	CCONJ
ejpam-5819	320	2	λ5)v	λ5)v	ADJ
ejpam-5819	320	3	2	2	NUM
ejpam-5819	320	4	+	+	NUM
ejpam-5819	320	5	9λ5u	9λ5u	NUM
ejpam-5819	320	6	2v2	2v2	NUM
ejpam-5819	320	7	]	]	X
ejpam-5819	320	8	]	]	X
ejpam-5819	321	1	dudv	dudv	ADP
ejpam-5819	321	2	−	−	PROPN
ejpam-5819	321	3	1	1	NUM
ejpam-5819	321	4	.	.	PUNCT
ejpam-5819	322	1	in	in	ADP
ejpam-5819	322	2	simplification	simplification	NOUN
ejpam-5819	322	3	,	,	PUNCT
ejpam-5819	322	4	the	the	DET
ejpam-5819	322	5	above	above	ADJ
ejpam-5819	322	6	integral	integral	ADJ
ejpam-5819	322	7	reduces	reduce	NOUN
ejpam-5819	322	8	to	to	ADP
ejpam-5819	322	9	(	(	PUNCT
ejpam-5819	322	10	21	21	NUM
ejpam-5819	322	11	)	)	PUNCT
ejpam-5819	322	12	,	,	PUNCT
ejpam-5819	322	13	and	and	CCONJ
ejpam-5819	322	14	hence	hence	ADV
ejpam-5819	322	15	the	the	DET
ejpam-5819	322	16	proof	proof	NOUN
ejpam-5819	322	17	is	be	AUX
ejpam-5819	322	18	complete	complete	ADJ
ejpam-5819	322	19	.	.	PUNCT
ejpam-5819	323	1	4.5.2	4.5.2	NUM
ejpam-5819	323	2	.	.	X
ejpam-5819	324	1	spearman	spearman	NOUN
ejpam-5819	324	2	’s	’s	PART
ejpam-5819	324	3	ρ	ρ	PROPN
ejpam-5819	324	4	spearman	spearman	NOUN
ejpam-5819	324	5	’s	’s	PART
ejpam-5819	324	6	ρ	ρ	NOUN
ejpam-5819	324	7	is	be	AUX
ejpam-5819	324	8	another	another	DET
ejpam-5819	324	9	measure	measure	NOUN
ejpam-5819	324	10	of	of	ADP
ejpam-5819	324	11	dependence	dependence	NOUN
ejpam-5819	324	12	between	between	ADP
ejpam-5819	324	13	two	two	NUM
ejpam-5819	324	14	variables	variable	NOUN
ejpam-5819	324	15	.	.	PUNCT
ejpam-5819	325	1	the	the	DET
ejpam-5819	325	2	spearman	spearman	NOUN
ejpam-5819	325	3	coefficient	coefficient	NOUN
ejpam-5819	325	4	ρ	ρ	PROPN
ejpam-5819	325	5	for	for	ADP
ejpam-5819	325	6	the	the	DET
ejpam-5819	325	7	bivariate	bivariate	ADJ
ejpam-5819	325	8	cubic	cubic	ADJ
ejpam-5819	325	9	transmuted	transmute	VERB
ejpam-5819	325	10	family	family	NOUN
ejpam-5819	325	11	of	of	ADP
ejpam-5819	325	12	distributions	distribution	NOUN
ejpam-5819	325	13	in	in	ADP
ejpam-5819	325	14	the	the	DET
ejpam-5819	325	15	following	follow	VERB
ejpam-5819	325	16	theorem	theorem	NOUN
ejpam-5819	325	17	theorem	theorem	NOUN
ejpam-5819	325	18	6	6	NUM
ejpam-5819	325	19	.	.	PUNCT
ejpam-5819	326	1	let	let	VERB
ejpam-5819	326	2	x	x	PRON
ejpam-5819	326	3	and	and	CCONJ
ejpam-5819	326	4	y	y	PROPN
ejpam-5819	326	5	be	be	AUX
ejpam-5819	326	6	two	two	NUM
ejpam-5819	326	7	random	random	ADJ
ejpam-5819	326	8	variables	variable	NOUN
ejpam-5819	326	9	having	have	VERB
ejpam-5819	326	10	a	a	DET
ejpam-5819	326	11	bivariate	bivariate	ADJ
ejpam-5819	326	12	cubic	cubic	ADJ
ejpam-5819	326	13	transmuted	transmute	VERB
ejpam-5819	326	14	family	family	NOUN
ejpam-5819	326	15	of	of	ADP
ejpam-5819	326	16	distributions	distribution	NOUN
ejpam-5819	326	17	then	then	ADV
ejpam-5819	326	18	the	the	DET
ejpam-5819	326	19	spearman	spearman	NOUN
ejpam-5819	326	20	’s	’s	PART
ejpam-5819	326	21	ρ	ρ	NOUN
ejpam-5819	326	22	for	for	ADP
ejpam-5819	326	23	x	x	PROPN
ejpam-5819	326	24	and	and	CCONJ
ejpam-5819	326	25	y	y	PROPN
ejpam-5819	326	26	ρ	ρ	PROPN
ejpam-5819	326	27	=	=	SYM
ejpam-5819	327	1	−	−	PROPN
ejpam-5819	327	2	1	1	NUM
ejpam-5819	327	3	300	300	NUM
ejpam-5819	327	4	[	[	PUNCT
ejpam-5819	327	5	25(2λ1	25(2λ1	NUM
ejpam-5819	327	6	+	+	NUM
ejpam-5819	327	7	λ2)(2λ3	λ2)(2λ3	NOUN
ejpam-5819	327	8	+	+	CCONJ
ejpam-5819	327	9	λ4)−	λ4)−	X
ejpam-5819	327	10	λ5(15−	λ5(15−	ADJ
ejpam-5819	327	11	λ1	λ1	PROPN
ejpam-5819	327	12	+	+	CCONJ
ejpam-5819	327	13	λ2)(15−	λ2)(15−	PROPN
ejpam-5819	327	14	λ3	λ3	PROPN
ejpam-5819	327	15	+	+	PROPN
ejpam-5819	327	16	λ4	λ4	PROPN
ejpam-5819	327	17	)	)	PUNCT
ejpam-5819	327	18	]	]	PUNCT
ejpam-5819	327	19	,	,	PUNCT
ejpam-5819	327	20	(	(	PUNCT
ejpam-5819	327	21	22	22	X
ejpam-5819	327	22	)	)	PUNCT
ejpam-5819	327	23	proof	proof	NOUN
ejpam-5819	327	24	.	.	PUNCT
ejpam-5819	328	1	the	the	DET
ejpam-5819	328	2	spearman	spearman	NOUN
ejpam-5819	328	3	’s	’s	PART
ejpam-5819	328	4	ρ	ρ	NOUN
ejpam-5819	328	5	for	for	ADP
ejpam-5819	328	6	two	two	NUM
ejpam-5819	328	7	continuous	continuous	ADJ
ejpam-5819	328	8	random	random	ADJ
ejpam-5819	328	9	variables	variable	NOUN
ejpam-5819	328	10	is	be	AUX
ejpam-5819	328	11	obtained	obtain	VERB
ejpam-5819	328	12	as	as	ADP
ejpam-5819	328	13	:	:	PUNCT
ejpam-5819	328	14	ρ	ρ	PROPN
ejpam-5819	328	15	=	=	SYM
ejpam-5819	328	16	12	12	NUM
ejpam-5819	328	17	∫	∫	NOUN
ejpam-5819	328	18	∞	∞	PROPN
ejpam-5819	328	19	−∞	−∞	X
ejpam-5819	328	20	∫	∫	PROPN
ejpam-5819	328	21	∞	∞	PROPN
ejpam-5819	329	1	−∞	−∞	ADP
ejpam-5819	329	2	[	[	X
ejpam-5819	329	3	fx	fx	PROPN
ejpam-5819	329	4	,	,	PUNCT
ejpam-5819	329	5	y	y	PROPN
ejpam-5819	329	6	(	(	PUNCT
ejpam-5819	329	7	x	x	X
ejpam-5819	329	8	,	,	PUNCT
ejpam-5819	329	9	y)−	y)−	PROPN
ejpam-5819	329	10	fx(x)fy	fx(x)fy	ADJ
ejpam-5819	329	11	(	(	PUNCT
ejpam-5819	329	12	y)]fx(x)fy	y)]fx(x)fy	NOUN
ejpam-5819	329	13	(	(	PUNCT
ejpam-5819	329	14	y)dxdy	y)dxdy	PROPN
ejpam-5819	329	15	.	.	PUNCT
ejpam-5819	330	1	now	now	ADV
ejpam-5819	330	2	,	,	PUNCT
ejpam-5819	330	3	using	use	VERB
ejpam-5819	330	4	(	(	PUNCT
ejpam-5819	330	5	6	6	NUM
ejpam-5819	330	6	)	)	PUNCT
ejpam-5819	330	7	,	,	PUNCT
ejpam-5819	330	8	(	(	PUNCT
ejpam-5819	330	9	8)	8)	NUM
ejpam-5819	330	10	,	,	PUNCT
ejpam-5819	330	11	(	(	PUNCT
ejpam-5819	330	12	9	9	NUM
ejpam-5819	330	13	)	)	PUNCT
ejpam-5819	330	14	,	,	PUNCT
ejpam-5819	330	15	(	(	PUNCT
ejpam-5819	330	16	10	10	NUM
ejpam-5819	330	17	)	)	PUNCT
ejpam-5819	330	18	,	,	PUNCT
ejpam-5819	330	19	(	(	PUNCT
ejpam-5819	330	20	11	11	NUM
ejpam-5819	330	21	)	)	PUNCT
ejpam-5819	330	22	and	and	CCONJ
ejpam-5819	330	23	making	make	VERB
ejpam-5819	330	24	the	the	DET
ejpam-5819	330	25	transformation	transformation	NOUN
ejpam-5819	330	26	u	u	NOUN
ejpam-5819	330	27	=	=	NOUN
ejpam-5819	330	28	g1(x	g1(x	NOUN
ejpam-5819	330	29	)	)	PUNCT
ejpam-5819	330	30	and	and	CCONJ
ejpam-5819	330	31	v	v	NOUN
ejpam-5819	330	32	=	=	SYM
ejpam-5819	330	33	g2(y	g2(y	PROPN
ejpam-5819	330	34	)	)	PUNCT
ejpam-5819	330	35	the	the	DET
ejpam-5819	330	36	above	above	ADJ
ejpam-5819	330	37	equation	equation	NOUN
ejpam-5819	330	38	becomes	become	VERB
ejpam-5819	330	39	ρ	ρ	PROPN
ejpam-5819	330	40	=	=	SYM
ejpam-5819	330	41	12	12	NUM
ejpam-5819	330	42	∫	∫	NOUN
ejpam-5819	330	43	1	1	NUM
ejpam-5819	330	44	0	0	NUM
ejpam-5819	330	45	∫	∫	PROPN
ejpam-5819	330	46	1	1	NUM
ejpam-5819	330	47	0	0	NUM
ejpam-5819	331	1	[	[	PUNCT
ejpam-5819	331	2	[	[	X
ejpam-5819	331	3	(	(	PUNCT
ejpam-5819	331	4	uv	uv	NOUN
ejpam-5819	331	5	+	+	CCONJ
ejpam-5819	331	6	λ1uv	λ1uv	PUNCT
ejpam-5819	331	7	−	−	PROPN
ejpam-5819	331	8	λ1u	λ1u	PROPN
ejpam-5819	331	9	2v	2v	PROPN
ejpam-5819	331	10	+	+	CCONJ
ejpam-5819	331	11	λ2u	λ2u	PROPN
ejpam-5819	331	12	2v	2v	PROPN
ejpam-5819	331	13	−	−	PROPN
ejpam-5819	332	1	λ2u	λ2u	PROPN
ejpam-5819	332	2	3v	3v	NUM
ejpam-5819	332	3	+	+	CCONJ
ejpam-5819	332	4	λ3uv	λ3uv	PUNCT
ejpam-5819	332	5	−	−	NOUN
ejpam-5819	332	6	λ3uv	λ3uv	SYM
ejpam-5819	332	7	2	2	NUM
ejpam-5819	332	8	+	+	CCONJ
ejpam-5819	332	9	λ4uv	λ4uv	SYM
ejpam-5819	332	10	2	2	NUM
ejpam-5819	332	11	−	−	NOUN
ejpam-5819	332	12	λ4uv	λ4uv	NOUN
ejpam-5819	332	13	3	3	NUM
ejpam-5819	332	14	+	+	CCONJ
ejpam-5819	332	15	λ5uv	λ5uv	PUNCT
ejpam-5819	332	16	−	−	PROPN
ejpam-5819	332	17	λ5u	λ5u	X
ejpam-5819	332	18	3v	3v	NUM
ejpam-5819	332	19	−	−	X
ejpam-5819	332	20	λ5uv	λ5uv	X
ejpam-5819	332	21	3	3	NUM
ejpam-5819	332	22	+	+	CCONJ
ejpam-5819	332	23	λ5u	λ5u	X
ejpam-5819	332	24	3v3	3v3	NUM
ejpam-5819	332	25	)	)	PUNCT
ejpam-5819	332	26	−	−	PROPN
ejpam-5819	333	1	(	(	PUNCT
ejpam-5819	333	2	uv	uv	NOUN
ejpam-5819	333	3	+	+	CCONJ
ejpam-5819	333	4	λ1uv	λ1uv	PUNCT
ejpam-5819	333	5	−	−	PROPN
ejpam-5819	333	6	λ1u	λ1u	PROPN
ejpam-5819	333	7	2v	2v	PROPN
ejpam-5819	333	8	+	+	CCONJ
ejpam-5819	333	9	λ2u	λ2u	PROPN
ejpam-5819	333	10	2v	2v	PROPN
ejpam-5819	333	11	−	−	PROPN
ejpam-5819	333	12	λ2u	λ2u	PROPN
ejpam-5819	333	13	3v)(1	3v)(1	NUM
ejpam-5819	333	14	+	+	CCONJ
ejpam-5819	334	1	λ3	λ3	PROPN
ejpam-5819	334	2	−	−	NOUN
ejpam-5819	335	1	λ3v	λ3v	X
ejpam-5819	336	1	+	+	CCONJ
ejpam-5819	336	2	λ4v	λ4v	X
ejpam-5819	336	3	−	−	PROPN
ejpam-5819	336	4	λ4v	λ4v	X
ejpam-5819	336	5	2	2	NUM
ejpam-5819	336	6	)	)	PUNCT
ejpam-5819	336	7	]	]	PUNCT
ejpam-5819	336	8	×	×	NOUN
ejpam-5819	336	9	(	(	PUNCT
ejpam-5819	336	10	1	1	NUM
ejpam-5819	336	11	+	+	NUM
ejpam-5819	336	12	λ1	λ1	PROPN
ejpam-5819	336	13	−	−	PROPN
ejpam-5819	336	14	2λ1u+	2λ1u+	NUM
ejpam-5819	336	15	2λ2u−	2λ2u−	NUM
ejpam-5819	336	16	3λ2u	3λ2u	NOUN
ejpam-5819	336	17	2)(1	2)(1	NUM
ejpam-5819	336	18	+	+	CCONJ
ejpam-5819	336	19	λ3	λ3	PROPN
ejpam-5819	336	20	−	−	PROPN
ejpam-5819	336	21	2λ3v	2λ3v	NOUN
ejpam-5819	336	22	+	+	CCONJ
ejpam-5819	336	23	2λ4v	2λ4v	NUM
ejpam-5819	336	24	−	−	PROPN
ejpam-5819	336	25	3λ4u	3λ4u	ADJ
ejpam-5819	336	26	2)]dudv	2)]dudv	NOUN
ejpam-5819	336	27	.	.	PUNCT
ejpam-5819	336	28	a.	a.	NOUN
ejpam-5819	336	29	a.	a.	PROPN
ejpam-5819	336	30	alsalafi	alsalafi	PROPN
ejpam-5819	336	31	,	,	PUNCT
ejpam-5819	336	32	s.	s.	PROPN
ejpam-5819	336	33	h.	h.	PROPN
ejpam-5819	336	34	shahbaz	shahbaz	PROPN
ejpam-5819	336	35	,	,	PUNCT
ejpam-5819	336	36	l.	l.	PROPN
ejpam-5819	336	37	i.	i.	PROPN
ejpam-5819	336	38	al	al	PROPN
ejpam-5819	336	39	-	-	PUNCT
ejpam-5819	336	40	turk	turk	PROPN
ejpam-5819	336	41	/	/	SYM
ejpam-5819	336	42	eur	eur	PROPN
ejpam-5819	336	43	.	.	PUNCT
ejpam-5819	337	1	j.	j.	PROPN
ejpam-5819	337	2	pure	pure	PROPN
ejpam-5819	337	3	appl	appl	PROPN
ejpam-5819	337	4	.	.	PROPN
ejpam-5819	337	5	math	math	PROPN
ejpam-5819	337	6	,	,	PUNCT
ejpam-5819	337	7	18	18	NUM
ejpam-5819	337	8	(	(	PUNCT
ejpam-5819	337	9	2	2	NUM
ejpam-5819	337	10	)	)	PUNCT
ejpam-5819	337	11	(	(	PUNCT
ejpam-5819	337	12	2025	2025	NUM
ejpam-5819	337	13	)	)	PUNCT
ejpam-5819	337	14	,	,	PUNCT
ejpam-5819	337	15	5819	5819	NUM
ejpam-5819	337	16	13	13	NUM
ejpam-5819	337	17	of	of	ADP
ejpam-5819	337	18	28	28	NUM
ejpam-5819	337	19	which	which	PRON
ejpam-5819	337	20	,	,	PUNCT
ejpam-5819	337	21	on	on	ADP
ejpam-5819	337	22	simplification	simplification	NOUN
ejpam-5819	337	23	,	,	PUNCT
ejpam-5819	337	24	becomes	become	VERB
ejpam-5819	337	25	(	(	PUNCT
ejpam-5819	337	26	22	22	NUM
ejpam-5819	337	27	)	)	PUNCT
ejpam-5819	337	28	and	and	CCONJ
ejpam-5819	337	29	hence	hence	ADV
ejpam-5819	337	30	the	the	DET
ejpam-5819	337	31	proof	proof	NOUN
ejpam-5819	337	32	is	be	AUX
ejpam-5819	337	33	complete	complete	ADJ
ejpam-5819	337	34	.	.	PUNCT
ejpam-5819	338	1	it	it	PRON
ejpam-5819	338	2	can	can	AUX
ejpam-5819	338	3	be	be	AUX
ejpam-5819	338	4	easily	easily	ADV
ejpam-5819	338	5	seen	see	VERB
ejpam-5819	338	6	that	that	SCONJ
ejpam-5819	338	7	kendall	kendall	PROPN
ejpam-5819	338	8	’s	’s	PART
ejpam-5819	338	9	τ	τ	PROPN
ejpam-5819	338	10	is	be	AUX
ejpam-5819	338	11	always	always	ADV
ejpam-5819	338	12	larger	large	ADJ
ejpam-5819	338	13	than	than	ADP
ejpam-5819	338	14	spearman	spearman	NOUN
ejpam-5819	338	15	’s	’s	PART
ejpam-5819	338	16	ρ	ρ	NOUN
ejpam-5819	338	17	for	for	ADP
ejpam-5819	338	18	the	the	DET
ejpam-5819	338	19	bivariate	bivariate	ADJ
ejpam-5819	338	20	cubic	cubic	ADJ
ejpam-5819	338	21	transmuted	transmute	VERB
ejpam-5819	338	22	family	family	NOUN
ejpam-5819	338	23	of	of	ADP
ejpam-5819	338	24	distributions	distribution	NOUN
ejpam-5819	338	25	.	.	PUNCT
ejpam-5819	339	1	4.6	4.6	NUM
ejpam-5819	339	2	.	.	PUNCT
ejpam-5819	340	1	the	the	DET
ejpam-5819	340	2	local	local	ADJ
ejpam-5819	340	3	dependence	dependence	NOUN
ejpam-5819	340	4	measure	measure	NOUN
ejpam-5819	340	5	a	a	DET
ejpam-5819	340	6	local	local	ADJ
ejpam-5819	340	7	dependence	dependence	NOUN
ejpam-5819	340	8	measure	measure	NOUN
ejpam-5819	340	9	defines	define	VERB
ejpam-5819	340	10	the	the	DET
ejpam-5819	340	11	strength	strength	NOUN
ejpam-5819	340	12	of	of	ADP
ejpam-5819	340	13	the	the	DET
ejpam-5819	340	14	local	local	ADJ
ejpam-5819	340	15	association	association	NOUN
ejpam-5819	340	16	between	between	ADP
ejpam-5819	340	17	two	two	NUM
ejpam-5819	340	18	random	random	ADJ
ejpam-5819	340	19	variables	variable	NOUN
ejpam-5819	340	20	x	x	PUNCT
ejpam-5819	340	21	and	and	CCONJ
ejpam-5819	340	22	y	y	PROPN
ejpam-5819	340	23	.	.	PUNCT
ejpam-5819	341	1	the	the	DET
ejpam-5819	341	2	bivariate	bivariate	ADJ
ejpam-5819	341	3	local	local	ADJ
ejpam-5819	341	4	dependence	dependence	NOUN
ejpam-5819	341	5	function	function	NOUN
ejpam-5819	341	6	for	for	ADP
ejpam-5819	341	7	the	the	DET
ejpam-5819	341	8	bivariate	bivariate	ADJ
ejpam-5819	341	9	cubic	cubic	ADJ
ejpam-5819	341	10	transmuted	transmute	VERB
ejpam-5819	341	11	family	family	NOUN
ejpam-5819	341	12	of	of	ADP
ejpam-5819	341	13	distribution	distribution	NOUN
ejpam-5819	341	14	is	be	AUX
ejpam-5819	341	15	the	the	DET
ejpam-5819	341	16	following	follow	VERB
ejpam-5819	341	17	theorem	theorem	NOUN
ejpam-5819	341	18	.	.	PUNCT
ejpam-5819	341	19	theorem	theorem	PROPN
ejpam-5819	341	20	7	7	NUM
ejpam-5819	341	21	.	.	PUNCT
ejpam-5819	342	1	the	the	DET
ejpam-5819	342	2	local	local	ADJ
ejpam-5819	342	3	dependence	dependence	NOUN
ejpam-5819	342	4	function	function	NOUN
ejpam-5819	342	5	for	for	ADP
ejpam-5819	342	6	the	the	DET
ejpam-5819	342	7	bivariate	bivariate	ADJ
ejpam-5819	342	8	cubic	cubic	ADJ
ejpam-5819	342	9	transmuted	transmute	VERB
ejpam-5819	342	10	family	family	NOUN
ejpam-5819	342	11	of	of	ADP
ejpam-5819	342	12	distribution	distribution	NOUN
ejpam-5819	342	13	is	be	AUX
ejpam-5819	342	14	γ(x	γ(x	NOUN
ejpam-5819	342	15	,	,	PUNCT
ejpam-5819	342	16	y	y	NOUN
ejpam-5819	342	17	)	)	PUNCT
ejpam-5819	342	18	=	=	PUNCT
ejpam-5819	343	1	(	(	PUNCT
ejpam-5819	343	2	5184)δ2δ6δ4δ7λ5g1(x)g2(y)g1(x)g2(y	5184)δ2δ6δ4δ7λ5g1(x)g2(y)g1(x)g2(y	NUM
ejpam-5819	343	3	)	)	PUNCT
ejpam-5819	344	1	[	[	X
ejpam-5819	344	2	η	η	X
ejpam-5819	344	3	−+2δ2g1(x)−	−+2δ2g1(x)−	PROPN
ejpam-5819	344	4	3δ6g2	3δ6g2	PROPN
ejpam-5819	344	5	1(x)−	1(x)−	NUM
ejpam-5819	344	6	2δ4g2(y)−	2δ4g2(y)−	PROPN
ejpam-5819	344	7	3δ7g2	3δ7g2	NUM
ejpam-5819	344	8	2(y	2(y	NUM
ejpam-5819	344	9	)	)	PUNCT
ejpam-5819	344	10	+	+	NOUN
ejpam-5819	344	11	9λ5g2	9λ5g2	NUM
ejpam-5819	344	12	1(x)g	1(x)g	NOUN
ejpam-5819	344	13	2	2	NUM
ejpam-5819	344	14	2(y	2(y	NUM
ejpam-5819	344	15	)	)	PUNCT
ejpam-5819	344	16	]	]	PUNCT
ejpam-5819	344	17	2	2	NUM
ejpam-5819	344	18	,	,	PUNCT
ejpam-5819	344	19	(	(	PUNCT
ejpam-5819	344	20	23	23	NUM
ejpam-5819	344	21	)	)	PUNCT
ejpam-5819	344	22	where	where	SCONJ
ejpam-5819	344	23	η	η	X
ejpam-5819	344	24	=	=	SYM
ejpam-5819	344	25	1	1	NUM
ejpam-5819	344	26	+	+	NUM
ejpam-5819	344	27	λ1	λ1	ADJ
ejpam-5819	344	28	+	+	NUM
ejpam-5819	344	29	λ3	λ3	PROPN
ejpam-5819	344	30	+	+	CCONJ
ejpam-5819	344	31	λ5	λ5	NOUN
ejpam-5819	344	32	,	,	PUNCT
ejpam-5819	344	33	δ2	δ2	VERB
ejpam-5819	344	34	=	=	SYM
ejpam-5819	344	35	λ2	λ2	PROPN
ejpam-5819	344	36	−	−	PROPN
ejpam-5819	344	37	λ1	λ1	ADJ
ejpam-5819	344	38	,	,	PUNCT
ejpam-5819	344	39	δ6	δ6	NOUN
ejpam-5819	344	40	=	=	SYM
ejpam-5819	344	41	λ2	λ2	NOUN
ejpam-5819	344	42	+	+	CCONJ
ejpam-5819	344	43	λ5	λ5	NOUN
ejpam-5819	344	44	,	,	PUNCT
ejpam-5819	344	45	δ4	δ4	NOUN
ejpam-5819	344	46	=	=	SYM
ejpam-5819	344	47	λ3	λ3	PROPN
ejpam-5819	344	48	−	−	PROPN
ejpam-5819	345	1	λ4	λ4	PROPN
ejpam-5819	345	2	,	,	PUNCT
ejpam-5819	345	3	δ7	δ7	NOUN
ejpam-5819	345	4	=	=	SYM
ejpam-5819	345	5	λ4	λ4	PROPN
ejpam-5819	345	6	+	+	CCONJ
ejpam-5819	345	7	λ5	λ5	NOUN
ejpam-5819	345	8	proof	proof	NOUN
ejpam-5819	345	9	.	.	PUNCT
ejpam-5819	346	1	the	the	DET
ejpam-5819	346	2	local	local	ADJ
ejpam-5819	346	3	bivariate	bivariate	ADJ
ejpam-5819	346	4	dependence	dependence	NOUN
ejpam-5819	346	5	function	function	NOUN
ejpam-5819	346	6	for	for	ADP
ejpam-5819	346	7	two	two	NUM
ejpam-5819	346	8	continuous	continuous	ADJ
ejpam-5819	346	9	random	random	ADJ
ejpam-5819	346	10	variables	variable	NOUN
ejpam-5819	346	11	has	have	AUX
ejpam-5819	346	12	been	be	AUX
ejpam-5819	346	13	defined	define	VERB
ejpam-5819	346	14	by	by	ADP
ejpam-5819	346	15	[	[	X
ejpam-5819	346	16	15	15	NUM
ejpam-5819	346	17	]	]	PUNCT
ejpam-5819	346	18	as	as	ADP
ejpam-5819	346	19	γ(x	γ(x	PROPN
ejpam-5819	346	20	,	,	PUNCT
ejpam-5819	346	21	y	y	NOUN
ejpam-5819	346	22	)	)	PUNCT
ejpam-5819	346	23	=	=	SYM
ejpam-5819	346	24	∂2	∂2	PROPN
ejpam-5819	346	25	∂x∂y	∂x∂y	PROPN
ejpam-5819	346	26	logf(x	logf(x	PROPN
ejpam-5819	346	27	,	,	PUNCT
ejpam-5819	346	28	y	y	PROPN
ejpam-5819	346	29	)	)	PUNCT
ejpam-5819	346	30	,	,	PUNCT
ejpam-5819	346	31	using	use	VERB
ejpam-5819	346	32	the	the	DET
ejpam-5819	346	33	bivariate	bivariate	ADJ
ejpam-5819	346	34	density	density	NOUN
ejpam-5819	346	35	function	function	NOUN
ejpam-5819	346	36	,	,	PUNCT
ejpam-5819	346	37	given	give	VERB
ejpam-5819	346	38	in	in	ADP
ejpam-5819	346	39	(	(	PUNCT
ejpam-5819	346	40	7	7	NUM
ejpam-5819	346	41	)	)	PUNCT
ejpam-5819	346	42	,	,	PUNCT
ejpam-5819	346	43	the	the	DET
ejpam-5819	346	44	above	above	ADJ
ejpam-5819	346	45	equation	equation	NOUN
ejpam-5819	346	46	becomes	become	VERB
ejpam-5819	346	47	γ(x	γ(x	PROPN
ejpam-5819	346	48	,	,	PUNCT
ejpam-5819	346	49	y	y	NOUN
ejpam-5819	346	50	)	)	PUNCT
ejpam-5819	346	51	=	=	SYM
ejpam-5819	347	1	∂2	∂2	NOUN
ejpam-5819	347	2	∂x∂y	∂x∂y	PROPN
ejpam-5819	347	3	log	log	NOUN
ejpam-5819	347	4	[	[	PUNCT
ejpam-5819	347	5	g1(x)g2(y)[1	g1(x)g2(y)[1	PROPN
ejpam-5819	347	6	+	+	CCONJ
ejpam-5819	347	7	λ1	λ1	PROPN
ejpam-5819	347	8	+	+	CCONJ
ejpam-5819	347	9	λ3	λ3	PROPN
ejpam-5819	347	10	+	+	NOUN
ejpam-5819	347	11	λ5	λ5	NOUN
ejpam-5819	347	12	+	+	CCONJ
ejpam-5819	347	13	2(λ2	2(λ2	NUM
ejpam-5819	347	14	−	−	NOUN
ejpam-5819	347	15	λ1)g1(x	λ1)g1(x	NOUN
ejpam-5819	347	16	)	)	PUNCT
ejpam-5819	347	17	−	−	PROPN
ejpam-5819	348	1	3(λ2	3(λ2	NUM
ejpam-5819	349	1	+	+	CCONJ
ejpam-5819	349	2	λ5)g	λ5)g	PROPN
ejpam-5819	349	3	2	2	NUM
ejpam-5819	349	4	1(x)−	1(x)−	NUM
ejpam-5819	349	5	2(λ3	2(λ3	NUM
ejpam-5819	349	6	−	−	ADP
ejpam-5819	349	7	λ4)g2(y)−	λ4)g2(y)−	PART
ejpam-5819	349	8	3(λ4	3(λ4	PROPN
ejpam-5819	350	1	+	+	NUM
ejpam-5819	350	2	λ5)g	λ5)g	PROPN
ejpam-5819	350	3	2	2	NUM
ejpam-5819	350	4	2(y	2(y	NUM
ejpam-5819	350	5	)	)	PUNCT
ejpam-5819	351	1	+	+	CCONJ
ejpam-5819	351	2	9λ5	9λ5	NUM
ejpam-5819	351	3	g	g	NOUN
ejpam-5819	351	4	2	2	NUM
ejpam-5819	351	5	1(x)g	1(x)g	NOUN
ejpam-5819	351	6	2	2	NUM
ejpam-5819	351	7	2(y	2(y	NUM
ejpam-5819	351	8	)	)	PUNCT
ejpam-5819	351	9	]	]	PUNCT
ejpam-5819	351	10	]	]	PUNCT
ejpam-5819	351	11	.	.	PUNCT
ejpam-5819	352	1	which	which	PRON
ejpam-5819	352	2	,	,	PUNCT
ejpam-5819	352	3	in	in	ADP
ejpam-5819	352	4	simplification	simplification	NOUN
ejpam-5819	352	5	,	,	PUNCT
ejpam-5819	352	6	becomes	become	VERB
ejpam-5819	352	7	(	(	PUNCT
ejpam-5819	352	8	23	23	NUM
ejpam-5819	352	9	)	)	PUNCT
ejpam-5819	352	10	and	and	CCONJ
ejpam-5819	352	11	hence	hence	ADV
ejpam-5819	352	12	the	the	DET
ejpam-5819	352	13	proof	proof	NOUN
ejpam-5819	352	14	is	be	AUX
ejpam-5819	352	15	complete	complete	ADJ
ejpam-5819	352	16	.	.	PUNCT
ejpam-5819	353	1	the	the	DET
ejpam-5819	353	2	local	local	ADJ
ejpam-5819	353	3	dependence	dependence	NOUN
ejpam-5819	353	4	function	function	NOUN
ejpam-5819	353	5	can	can	AUX
ejpam-5819	353	6	be	be	AUX
ejpam-5819	353	7	computed	compute	VERB
ejpam-5819	353	8	for	for	ADP
ejpam-5819	353	9	given	give	VERB
ejpam-5819	353	10	values	value	NOUN
ejpam-5819	353	11	of	of	ADP
ejpam-5819	353	12	the	the	DET
ejpam-5819	353	13	parameters	parameter	NOUN
ejpam-5819	353	14	and	and	CCONJ
ejpam-5819	353	15	different	different	ADJ
ejpam-5819	353	16	choices	choice	NOUN
ejpam-5819	353	17	of	of	ADP
ejpam-5819	353	18	baseline	baseline	ADJ
ejpam-5819	353	19	distributions	distribution	NOUN
ejpam-5819	353	20	.	.	PUNCT
ejpam-5819	354	1	5	5	X
ejpam-5819	354	2	.	.	X
ejpam-5819	354	3	estimation	estimation	NOUN
ejpam-5819	354	4	of	of	ADP
ejpam-5819	354	5	parameters	parameter	NOUN
ejpam-5819	354	6	in	in	ADP
ejpam-5819	354	7	this	this	DET
ejpam-5819	354	8	section	section	NOUN
ejpam-5819	354	9	,	,	PUNCT
ejpam-5819	354	10	the	the	DET
ejpam-5819	354	11	mle	mle	NOUN
ejpam-5819	354	12	of	of	ADP
ejpam-5819	354	13	the	the	DET
ejpam-5819	354	14	parameters	parameter	NOUN
ejpam-5819	354	15	is	be	AUX
ejpam-5819	354	16	discussed	discuss	VERB
ejpam-5819	354	17	for	for	ADP
ejpam-5819	354	18	the	the	DET
ejpam-5819	354	19	bivariate	bivariate	ADJ
ejpam-5819	354	20	cubic	cubic	ADJ
ejpam-5819	354	21	transmuted	transmute	VERB
ejpam-5819	354	22	family	family	NOUN
ejpam-5819	354	23	of	of	ADP
ejpam-5819	354	24	distributions	distribution	NOUN
ejpam-5819	354	25	under	under	ADP
ejpam-5819	354	26	the	the	DET
ejpam-5819	354	27	assumption	assumption	NOUN
ejpam-5819	354	28	that	that	SCONJ
ejpam-5819	354	29	all	all	DET
ejpam-5819	354	30	the	the	DET
ejpam-5819	354	31	parameters	parameter	NOUN
ejpam-5819	354	32	of	of	ADP
ejpam-5819	354	33	the	the	DET
ejpam-5819	354	34	baseline	baseline	PROPN
ejpam-5819	354	35	distributions	distribution	NOUN
ejpam-5819	354	36	g1(x	g1(x	NOUN
ejpam-5819	354	37	)	)	PUNCT
ejpam-5819	354	38	and	and	CCONJ
ejpam-5819	354	39	g2(y	g2(y	NOUN
ejpam-5819	354	40	)	)	PUNCT
ejpam-5819	354	41	are	be	AUX
ejpam-5819	354	42	known	know	VERB
ejpam-5819	354	43	.	.	PUNCT
ejpam-5819	355	1	let	let	VERB
ejpam-5819	355	2	x1	x1	NUM
ejpam-5819	355	3	,	,	PUNCT
ejpam-5819	355	4	x2	x2	PROPN
ejpam-5819	355	5	,	,	PUNCT
ejpam-5819	355	6	,	,	PUNCT
ejpam-5819	355	7	xn	xn	PROPN
ejpam-5819	355	8	be	be	AUX
ejpam-5819	355	9	a	a	DET
ejpam-5819	355	10	random	random	ADJ
ejpam-5819	355	11	sample	sample	NOUN
ejpam-5819	355	12	of	of	ADP
ejpam-5819	355	13	size	size	NOUN
ejpam-5819	355	14	n	n	CCONJ
ejpam-5819	355	15	taken	take	VERB
ejpam-5819	355	16	from	from	ADP
ejpam-5819	355	17	the	the	DET
ejpam-5819	355	18	bivariate	bivariate	ADJ
ejpam-5819	355	19	density	density	NOUN
ejpam-5819	355	20	in	in	ADP
ejpam-5819	355	21	(	(	PUNCT
ejpam-5819	355	22	7	7	NUM
ejpam-5819	355	23	)	)	PUNCT
ejpam-5819	355	24	,	,	PUNCT
ejpam-5819	355	25	then	then	ADV
ejpam-5819	355	26	the	the	DET
ejpam-5819	355	27	corresponding	corresponding	ADJ
ejpam-5819	355	28	log	log	NOUN
ejpam-5819	355	29	-	-	PUNCT
ejpam-5819	355	30	likelihood	likelihood	NOUN
ejpam-5819	355	31	function	function	NOUN
ejpam-5819	355	32	can	can	AUX
ejpam-5819	355	33	be	be	AUX
ejpam-5819	355	34	written	write	VERB
ejpam-5819	355	35	as	as	ADP
ejpam-5819	355	36	:	:	PUNCT
ejpam-5819	355	37	ℓ	ℓ	PROPN
ejpam-5819	355	38	=	=	SYM
ejpam-5819	355	39	n∑	n∑	PROPN
ejpam-5819	355	40	i=1	i=1	PROPN
ejpam-5819	355	41	log(g1(xi	log(g1(xi	PROPN
ejpam-5819	355	42	)	)	PUNCT
ejpam-5819	355	43	)	)	PUNCT
ejpam-5819	356	1	+	+	CCONJ
ejpam-5819	356	2	n∑	n∑	X
ejpam-5819	356	3	i=1	i=1	X
ejpam-5819	356	4	log(g2(yi	log(g2(yi	PROPN
ejpam-5819	356	5	)	)	PUNCT
ejpam-5819	356	6	)	)	PUNCT
ejpam-5819	357	1	+	+	CCONJ
ejpam-5819	357	2	n∑	n∑	X
ejpam-5819	357	3	i=1	i=1	PROPN
ejpam-5819	357	4	log	log	NOUN
ejpam-5819	357	5	[	[	PUNCT
ejpam-5819	357	6	1	1	NUM
ejpam-5819	357	7	+	+	NUM
ejpam-5819	357	8	λ1	λ1	ADJ
ejpam-5819	357	9	+	+	NUM
ejpam-5819	357	10	λ3	λ3	PROPN
ejpam-5819	357	11	+	+	NOUN
ejpam-5819	357	12	λ5	λ5	NOUN
ejpam-5819	357	13	+	+	CCONJ
ejpam-5819	357	14	2(λ2	2(λ2	NUM
ejpam-5819	357	15	−	−	NOUN
ejpam-5819	357	16	λ1)g1(xi	λ1)g1(xi	NUM
ejpam-5819	357	17	)	)	PUNCT
ejpam-5819	357	18	−	−	PROPN
ejpam-5819	357	19	3(λ2	3(λ2	NUM
ejpam-5819	358	1	+	+	CCONJ
ejpam-5819	358	2	λ5)g	λ5)g	PROPN
ejpam-5819	358	3	2	2	NUM
ejpam-5819	358	4	1(xi)−	1(xi)−	NUM
ejpam-5819	358	5	2(λ3	2(λ3	NUM
ejpam-5819	358	6	−	−	NOUN
ejpam-5819	358	7	λ4)g2(yi)−	λ4)g2(yi)−	NOUN
ejpam-5819	358	8	3(λ4	3(λ4	NUM
ejpam-5819	359	1	+	+	NUM
ejpam-5819	359	2	λ5)g	λ5)g	NOUN
ejpam-5819	359	3	2	2	NUM
ejpam-5819	359	4	2(yi	2(yi	NUM
ejpam-5819	359	5	)	)	PUNCT
ejpam-5819	360	1	+	+	CCONJ
ejpam-5819	360	2	9λ5	9λ5	NUM
ejpam-5819	360	3	g	g	PROPN
ejpam-5819	360	4	2	2	NUM
ejpam-5819	360	5	1(xi)g	1(xi)g	NUM
ejpam-5819	360	6	2	2	NUM
ejpam-5819	360	7	2(yi	2(yi	NUM
ejpam-5819	360	8	)	)	PUNCT
ejpam-5819	360	9	]	]	PUNCT
ejpam-5819	360	10	.	.	PUNCT
ejpam-5819	361	1	(	(	PUNCT
ejpam-5819	361	2	24	24	NUM
ejpam-5819	361	3	)	)	PUNCT
ejpam-5819	361	4	a.	a.	NOUN
ejpam-5819	361	5	a.	a.	NOUN
ejpam-5819	361	6	alsalafi	alsalafi	PROPN
ejpam-5819	361	7	,	,	PUNCT
ejpam-5819	361	8	s.	s.	PROPN
ejpam-5819	361	9	h.	h.	PROPN
ejpam-5819	361	10	shahbaz	shahbaz	PROPN
ejpam-5819	361	11	,	,	PUNCT
ejpam-5819	361	12	l.	l.	PROPN
ejpam-5819	361	13	i.	i.	PROPN
ejpam-5819	361	14	al	al	PROPN
ejpam-5819	361	15	-	-	PUNCT
ejpam-5819	361	16	turk	turk	PROPN
ejpam-5819	361	17	/	/	SYM
ejpam-5819	361	18	eur	eur	PROPN
ejpam-5819	361	19	.	.	PUNCT
ejpam-5819	362	1	j.	j.	PROPN
ejpam-5819	362	2	pure	pure	PROPN
ejpam-5819	362	3	appl	appl	PROPN
ejpam-5819	362	4	.	.	PROPN
ejpam-5819	362	5	math	math	PROPN
ejpam-5819	362	6	,	,	PUNCT
ejpam-5819	362	7	18	18	NUM
ejpam-5819	362	8	(	(	PUNCT
ejpam-5819	362	9	2	2	NUM
ejpam-5819	362	10	)	)	PUNCT
ejpam-5819	362	11	(	(	PUNCT
ejpam-5819	362	12	2025	2025	NUM
ejpam-5819	362	13	)	)	PUNCT
ejpam-5819	362	14	,	,	PUNCT
ejpam-5819	362	15	5819	5819	NUM
ejpam-5819	362	16	14	14	NUM
ejpam-5819	362	17	of	of	ADP
ejpam-5819	362	18	28	28	NUM
ejpam-5819	362	19	the	the	DET
ejpam-5819	362	20	mles	mle	NOUN
ejpam-5819	362	21	of	of	ADP
ejpam-5819	362	22	λ1	λ1	ADJ
ejpam-5819	362	23	,	,	PUNCT
ejpam-5819	362	24	λ2	λ2	PROPN
ejpam-5819	362	25	,	,	PUNCT
ejpam-5819	362	26	λ3	λ3	PROPN
ejpam-5819	362	27	,	,	PUNCT
ejpam-5819	362	28	λ4	λ4	ADJ
ejpam-5819	362	29	and	and	CCONJ
ejpam-5819	362	30	λ5	λ5	NOUN
ejpam-5819	362	31	which	which	PRON
ejpam-5819	362	32	maximize	maximize	VERB
ejpam-5819	362	33	the	the	DET
ejpam-5819	362	34	log	log	NOUN
ejpam-5819	362	35	-	-	PUNCT
ejpam-5819	362	36	likelihood	likelihood	NOUN
ejpam-5819	362	37	function	function	NOUN
ejpam-5819	362	38	in	in	ADP
ejpam-5819	362	39	(	(	PUNCT
ejpam-5819	362	40	24	24	NUM
ejpam-5819	362	41	)	)	PUNCT
ejpam-5819	362	42	are	be	AUX
ejpam-5819	362	43	obtained	obtain	VERB
ejpam-5819	362	44	by	by	ADP
ejpam-5819	362	45	simultaneous	simultaneous	ADJ
ejpam-5819	362	46	solution	solution	NOUN
ejpam-5819	362	47	of	of	ADP
ejpam-5819	362	48	the	the	DET
ejpam-5819	362	49	likelihood	likelihood	NOUN
ejpam-5819	362	50	equations	equation	NOUN
ejpam-5819	362	51	.	.	PUNCT
ejpam-5819	363	1	now	now	ADV
ejpam-5819	363	2	,	,	PUNCT
ejpam-5819	363	3	the	the	DET
ejpam-5819	363	4	derivatives	derivative	NOUN
ejpam-5819	363	5	of	of	ADP
ejpam-5819	363	6	(	(	PUNCT
ejpam-5819	363	7	24	24	NUM
ejpam-5819	363	8	)	)	PUNCT
ejpam-5819	363	9	writ	writ	NOUN
ejpam-5819	363	10	the	the	DET
ejpam-5819	363	11	unknown	unknown	ADJ
ejpam-5819	363	12	parameters	parameter	NOUN
ejpam-5819	363	13	are	be	AUX
ejpam-5819	363	14	∂ℓ	∂ℓ	PROPN
ejpam-5819	363	15	∂λ1	∂λ1	PROPN
ejpam-5819	364	1	=	=	SYM
ejpam-5819	364	2	n∑	n∑	PROPN
ejpam-5819	364	3	i=1	i=1	PROPN
ejpam-5819	364	4	1−	1−	NUM
ejpam-5819	364	5	2g1(xi	2g1(xi	NUM
ejpam-5819	364	6	)	)	PUNCT
ejpam-5819	364	7	φ(xi	φ(xi	PROPN
ejpam-5819	364	8	,	,	PUNCT
ejpam-5819	364	9	yi	yi	NOUN
ejpam-5819	364	10	)	)	PUNCT
ejpam-5819	364	11	,	,	PUNCT
ejpam-5819	364	12	(	(	PUNCT
ejpam-5819	365	1	25	25	NUM
ejpam-5819	365	2	)	)	PUNCT
ejpam-5819	365	3	∂ℓ	∂ℓ	PROPN
ejpam-5819	365	4	∂λ2	∂λ2	PROPN
ejpam-5819	366	1	=	=	SYM
ejpam-5819	366	2	n∑	n∑	PROPN
ejpam-5819	366	3	i=1	i=1	PROPN
ejpam-5819	366	4	2g1(xi)−	2g1(xi)−	NUM
ejpam-5819	366	5	3g2	3g2	NUM
ejpam-5819	366	6	1(xi	1(xi	NUM
ejpam-5819	366	7	)	)	PUNCT
ejpam-5819	366	8	φ(xi	φ(xi	PROPN
ejpam-5819	366	9	,	,	PUNCT
ejpam-5819	366	10	yi	yi	NOUN
ejpam-5819	366	11	)	)	PUNCT
ejpam-5819	366	12	)	)	PUNCT
ejpam-5819	366	13	,	,	PUNCT
ejpam-5819	366	14	(	(	PUNCT
ejpam-5819	366	15	26	26	X
ejpam-5819	366	16	)	)	PUNCT
ejpam-5819	366	17	∂ℓ	∂ℓ	PROPN
ejpam-5819	366	18	∂λ3	∂λ3	PROPN
ejpam-5819	366	19	=	=	SYM
ejpam-5819	366	20	n∑	n∑	PROPN
ejpam-5819	366	21	i=1	i=1	PROPN
ejpam-5819	366	22	1−	1−	NUM
ejpam-5819	366	23	2g2(yi	2g2(yi	NUM
ejpam-5819	366	24	)	)	PUNCT
ejpam-5819	366	25	φ(xi	φ(xi	PROPN
ejpam-5819	366	26	,	,	PUNCT
ejpam-5819	366	27	yi	yi	NOUN
ejpam-5819	366	28	)	)	PUNCT
ejpam-5819	366	29	)	)	PUNCT
ejpam-5819	367	1	,	,	PUNCT
ejpam-5819	367	2	(	(	PUNCT
ejpam-5819	367	3	27	27	NUM
ejpam-5819	367	4	)	)	PUNCT
ejpam-5819	367	5	∂ℓ	∂ℓ	PROPN
ejpam-5819	367	6	∂λ4	∂λ4	NOUN
ejpam-5819	367	7	=	=	SYM
ejpam-5819	367	8	n∑	n∑	NOUN
ejpam-5819	367	9	i=1	i=1	PROPN
ejpam-5819	367	10	2g2(yi)−	2g2(yi)−	NUM
ejpam-5819	367	11	3g2	3g2	NUM
ejpam-5819	367	12	2(yi	2(yi	NUM
ejpam-5819	367	13	)	)	PUNCT
ejpam-5819	367	14	φ(xi	φ(xi	PROPN
ejpam-5819	367	15	,	,	PUNCT
ejpam-5819	367	16	yi	yi	NOUN
ejpam-5819	367	17	)	)	PUNCT
ejpam-5819	367	18	,	,	PUNCT
ejpam-5819	367	19	(	(	PUNCT
ejpam-5819	367	20	28	28	NUM
ejpam-5819	367	21	)	)	PUNCT
ejpam-5819	367	22	and	and	CCONJ
ejpam-5819	367	23	∂ℓ	∂ℓ	PROPN
ejpam-5819	367	24	∂λ5	∂λ5	PROPN
ejpam-5819	368	1	=	=	PUNCT
ejpam-5819	368	2	n∑	n∑	PROPN
ejpam-5819	368	3	i=1	i=1	PROPN
ejpam-5819	368	4	1−	1−	NUM
ejpam-5819	368	5	3g2	3g2	NUM
ejpam-5819	368	6	2(yi)−	2(yi)−	NUM
ejpam-5819	368	7	3g2	3g2	NUM
ejpam-5819	368	8	1(xi	1(xi	NUM
ejpam-5819	368	9	)	)	PUNCT
ejpam-5819	369	1	+	+	CCONJ
ejpam-5819	369	2	9g2	9g2	NUM
ejpam-5819	369	3	1(xi)g	1(xi)g	NUM
ejpam-5819	369	4	2	2	NUM
ejpam-5819	369	5	2(yi	2(yi	NUM
ejpam-5819	369	6	)	)	PUNCT
ejpam-5819	369	7	φ(xi	φ(xi	PROPN
ejpam-5819	369	8	,	,	PUNCT
ejpam-5819	369	9	yi	yi	NOUN
ejpam-5819	369	10	)	)	PUNCT
ejpam-5819	369	11	.	.	PUNCT
ejpam-5819	370	1	(	(	PUNCT
ejpam-5819	370	2	29	29	NUM
ejpam-5819	370	3	)	)	PUNCT
ejpam-5819	370	4	where	where	SCONJ
ejpam-5819	370	5	φ(xi	φ(xi	PROPN
ejpam-5819	370	6	,	,	PUNCT
ejpam-5819	370	7	yi	yi	NOUN
ejpam-5819	370	8	)	)	PUNCT
ejpam-5819	370	9	=	=	PUNCT
ejpam-5819	371	1	[	[	PUNCT
ejpam-5819	371	2	1+λ1+λ3+λ5	1+λ1+λ3+λ5	NUM
ejpam-5819	371	3	+	+	SYM
ejpam-5819	371	4	2(λ2−λ1)g1(xi)−3(λ2+λ5)g	2(λ2−λ1)g1(xi)−3(λ2+λ5)g	NUM
ejpam-5819	371	5	2	2	NUM
ejpam-5819	371	6	1(xi)−2(λ3−λ4)g2(yi)−	1(xi)−2(λ3−λ4)g2(yi)−	NUM
ejpam-5819	371	7	3(λ4	3(λ4	NUM
ejpam-5819	371	8	+	+	NUM
ejpam-5819	371	9	λ5)g	λ5)g	NOUN
ejpam-5819	371	10	2	2	NUM
ejpam-5819	371	11	2(yi	2(yi	NUM
ejpam-5819	371	12	)	)	PUNCT
ejpam-5819	372	1	+	+	CCONJ
ejpam-5819	372	2	9λ5	9λ5	NUM
ejpam-5819	372	3	g	g	PROPN
ejpam-5819	372	4	2	2	NUM
ejpam-5819	372	5	1(xi)g	1(xi)g	NUM
ejpam-5819	372	6	2	2	NUM
ejpam-5819	372	7	2(yi	2(yi	NUM
ejpam-5819	372	8	)	)	PUNCT
ejpam-5819	372	9	]	]	PUNCT
ejpam-5819	372	10	.	.	PUNCT
ejpam-5819	373	1	the	the	DET
ejpam-5819	373	2	mle	mle	PROPN
ejpam-5819	373	3	of	of	ADP
ejpam-5819	373	4	λ1,λ2	λ1,λ2	PROPN
ejpam-5819	373	5	,	,	PUNCT
ejpam-5819	373	6	λ3	λ3	PROPN
ejpam-5819	373	7	,	,	PUNCT
ejpam-5819	373	8	λ4	λ4	PROPN
ejpam-5819	373	9	and	and	CCONJ
ejpam-5819	373	10	λ5	λ5	NOUN
ejpam-5819	373	11	is	be	AUX
ejpam-5819	373	12	obtained	obtain	VERB
ejpam-5819	373	13	by	by	ADP
ejpam-5819	373	14	equating	equate	VERB
ejpam-5819	373	15	(	(	PUNCT
ejpam-5819	373	16	25	25	NUM
ejpam-5819	373	17	)	)	PUNCT
ejpam-5819	373	18	,	,	PUNCT
ejpam-5819	373	19	(	(	PUNCT
ejpam-5819	373	20	26),(27	26),(27	NUM
ejpam-5819	373	21	)	)	PUNCT
ejpam-5819	373	22	,	,	PUNCT
ejpam-5819	373	23	(	(	PUNCT
ejpam-5819	373	24	28	28	NUM
ejpam-5819	373	25	)	)	PUNCT
ejpam-5819	373	26	and	and	CCONJ
ejpam-5819	373	27	(	(	PUNCT
ejpam-5819	373	28	29	29	NUM
ejpam-5819	373	29	)	)	PUNCT
ejpam-5819	373	30	to	to	ADP
ejpam-5819	373	31	zero	zero	NUM
ejpam-5819	373	32	by	by	ADP
ejpam-5819	373	33	solving	solve	VERB
ejpam-5819	373	34	the	the	DET
ejpam-5819	373	35	resulting	result	VERB
ejpam-5819	373	36	equations	equation	NOUN
ejpam-5819	373	37	numerically	numerically	ADV
ejpam-5819	373	38	.	.	PUNCT
ejpam-5819	374	1	6	6	X
ejpam-5819	374	2	.	.	X
ejpam-5819	374	3	the	the	DET
ejpam-5819	374	4	bivariate	bivariate	ADJ
ejpam-5819	374	5	cubic	cubic	ADJ
ejpam-5819	374	6	transmuted	transmute	VERB
ejpam-5819	374	7	burr	burr	NOUN
ejpam-5819	374	8	distribution	distribution	NOUN
ejpam-5819	374	9	in	in	ADP
ejpam-5819	374	10	this	this	DET
ejpam-5819	374	11	section	section	NOUN
ejpam-5819	374	12	,	,	PUNCT
ejpam-5819	374	13	the	the	DET
ejpam-5819	374	14	bivariate	bivariate	ADJ
ejpam-5819	374	15	cubic	cubic	ADJ
ejpam-5819	374	16	transmuted	transmute	VERB
ejpam-5819	374	17	burr	burr	NOUN
ejpam-5819	374	18	distribution	distribution	NOUN
ejpam-5819	374	19	(	(	PUNCT
ejpam-5819	374	20	bctb	bctb	NOUN
ejpam-5819	374	21	)	)	PUNCT
ejpam-5819	374	22	is	be	AUX
ejpam-5819	374	23	proposed	propose	VERB
ejpam-5819	374	24	by	by	ADP
ejpam-5819	374	25	using	use	VERB
ejpam-5819	374	26	the	the	DET
ejpam-5819	374	27	distribution	distribution	NOUN
ejpam-5819	374	28	function	function	NOUN
ejpam-5819	374	29	of	of	ADP
ejpam-5819	374	30	burr	burr	NOUN
ejpam-5819	374	31	-	-	PUNCT
ejpam-5819	374	32	xii	xii	NOUN
ejpam-5819	374	33	distribution	distribution	NOUN
ejpam-5819	374	34	as	as	ADP
ejpam-5819	374	35	the	the	DET
ejpam-5819	374	36	baseline	baseline	ADJ
ejpam-5819	374	37	distribution	distribution	NOUN
ejpam-5819	374	38	in	in	ADP
ejpam-5819	374	39	the	the	DET
ejpam-5819	374	40	bivariate	bivariate	ADJ
ejpam-5819	374	41	cubic	cubic	ADJ
ejpam-5819	374	42	transmuted	transmute	VERB
ejpam-5819	374	43	family	family	NOUN
ejpam-5819	374	44	of	of	ADP
ejpam-5819	374	45	distributions	distribution	NOUN
ejpam-5819	374	46	,	,	PUNCT
ejpam-5819	374	47	given	give	VERB
ejpam-5819	374	48	in	in	ADP
ejpam-5819	374	49	(	(	PUNCT
ejpam-5819	374	50	6	6	NUM
ejpam-5819	374	51	)	)	PUNCT
ejpam-5819	374	52	suppose	suppose	VERB
ejpam-5819	374	53	that	that	SCONJ
ejpam-5819	374	54	the	the	DET
ejpam-5819	374	55	two	two	NUM
ejpam-5819	374	56	random	random	ADJ
ejpam-5819	374	57	variables	variable	NOUN
ejpam-5819	374	58	x	x	PUNCT
ejpam-5819	374	59	and	and	CCONJ
ejpam-5819	374	60	y	y	PROPN
ejpam-5819	374	61	have	have	VERB
ejpam-5819	374	62	the	the	DET
ejpam-5819	374	63	burr	burr	NOUN
ejpam-5819	374	64	distributions	distribution	NOUN
ejpam-5819	374	65	with	with	ADP
ejpam-5819	374	66	the	the	DET
ejpam-5819	374	67	following	follow	VERB
ejpam-5819	374	68	cdf	cdf	NOUN
ejpam-5819	374	69	:	:	PUNCT
ejpam-5819	374	70	g1(x	g1(x	NOUN
ejpam-5819	374	71	)	)	PUNCT
ejpam-5819	374	72	=	=	SYM
ejpam-5819	374	73	1−	1−	NUM
ejpam-5819	374	74	(	(	PUNCT
ejpam-5819	374	75	1	1	NUM
ejpam-5819	374	76	+	+	CCONJ
ejpam-5819	374	77	xa1)−b1	xa1)−b1	PROPN
ejpam-5819	374	78	;	;	PUNCT
ejpam-5819	374	79	x	x	X
ejpam-5819	374	80	,	,	PUNCT
ejpam-5819	374	81	a1	a1	PROPN
ejpam-5819	374	82	,	,	PUNCT
ejpam-5819	374	83	b1	b1	NOUN
ejpam-5819	374	84	≥	≥	NUM
ejpam-5819	374	85	0	0	NUM
ejpam-5819	374	86	,	,	PUNCT
ejpam-5819	374	87	(	(	PUNCT
ejpam-5819	374	88	30	30	NUM
ejpam-5819	374	89	)	)	PUNCT
ejpam-5819	374	90	and	and	CCONJ
ejpam-5819	374	91	g2(y	g2(y	NOUN
ejpam-5819	374	92	)	)	PUNCT
ejpam-5819	374	93	=	=	SYM
ejpam-5819	375	1	1−	1−	NUM
ejpam-5819	375	2	(	(	PUNCT
ejpam-5819	375	3	1	1	NUM
ejpam-5819	375	4	+	+	NUM
ejpam-5819	375	5	ya2)−b2	ya2)−b2	PROPN
ejpam-5819	375	6	;	;	PUNCT
ejpam-5819	375	7	y	y	PROPN
ejpam-5819	375	8	,	,	PUNCT
ejpam-5819	375	9	a2	a2	PROPN
ejpam-5819	375	10	,	,	PUNCT
ejpam-5819	375	11	b2	b2	NOUN
ejpam-5819	375	12	≥	≥	NOUN
ejpam-5819	375	13	0	0	NUM
ejpam-5819	375	14	.	.	PUNCT
ejpam-5819	376	1	(	(	PUNCT
ejpam-5819	376	2	31	31	NUM
ejpam-5819	376	3	)	)	PUNCT
ejpam-5819	376	4	using	use	VERB
ejpam-5819	376	5	the	the	DET
ejpam-5819	376	6	above	above	ADJ
ejpam-5819	376	7	cdf	cdf	PROPN
ejpam-5819	376	8	in	in	ADP
ejpam-5819	376	9	(	(	PUNCT
ejpam-5819	376	10	6	6	NUM
ejpam-5819	376	11	)	)	PUNCT
ejpam-5819	376	12	,	,	PUNCT
ejpam-5819	376	13	the	the	DET
ejpam-5819	376	14	distribution	distribution	NOUN
ejpam-5819	376	15	function	function	NOUN
ejpam-5819	376	16	of	of	ADP
ejpam-5819	376	17	the	the	DET
ejpam-5819	376	18	bctb	bctb	NOUN
ejpam-5819	376	19	distribution	distribution	NOUN
ejpam-5819	376	20	proposed	propose	VERB
ejpam-5819	376	21	is	be	AUX
ejpam-5819	376	22	:	:	PUNCT
ejpam-5819	376	23	fbctb(x	fbctb(x	ADJ
ejpam-5819	376	24	,	,	PUNCT
ejpam-5819	376	25	y	y	NOUN
ejpam-5819	376	26	)	)	PUNCT
ejpam-5819	377	1	=	=	SYM
ejpam-5819	377	2	txty	txty	NOUN
ejpam-5819	377	3	[	[	PUNCT
ejpam-5819	377	4	1	1	NUM
ejpam-5819	377	5	+	+	NUM
ejpam-5819	377	6	λ1	λ1	ADJ
ejpam-5819	377	7	+	+	NUM
ejpam-5819	377	8	λ3	λ3	PROPN
ejpam-5819	378	1	+	+	NOUN
ejpam-5819	378	2	λ5	λ5	NOUN
ejpam-5819	378	3	+	+	CCONJ
ejpam-5819	378	4	(	(	PUNCT
ejpam-5819	378	5	λ2	λ2	NOUN
ejpam-5819	378	6	−	−	X
ejpam-5819	378	7	λ1)tx−	λ1)tx−	X
ejpam-5819	378	8	(	(	PUNCT
ejpam-5819	378	9	λ2	λ2	NOUN
ejpam-5819	378	10	+	+	CCONJ
ejpam-5819	378	11	λ5)tx	λ5)tx	NOUN
ejpam-5819	378	12	2	2	NUM
ejpam-5819	378	13	−	−	PROPN
ejpam-5819	378	14	(	(	PUNCT
ejpam-5819	378	15	λ3	λ3	PROPN
ejpam-5819	378	16	−	−	PROPN
ejpam-5819	378	17	λ4)ty	λ4)ty	NOUN
ejpam-5819	378	18	−	−	PROPN
ejpam-5819	379	1	(	(	PUNCT
ejpam-5819	379	2	λ4	λ4	PROPN
ejpam-5819	379	3	+	+	CCONJ
ejpam-5819	379	4	λ5)ty	λ5)ty	PROPN
ejpam-5819	379	5	2	2	NUM
ejpam-5819	379	6	+	+	CCONJ
ejpam-5819	379	7	λ5tx	λ5tx	X
ejpam-5819	379	8	2ty2	2ty2	NUM
ejpam-5819	379	9	]	]	PUNCT
ejpam-5819	379	10	,	,	PUNCT
ejpam-5819	379	11	(	(	PUNCT
ejpam-5819	379	12	32	32	NUM
ejpam-5819	379	13	)	)	PUNCT
ejpam-5819	379	14	a.	a.	NOUN
ejpam-5819	379	15	a.	a.	NOUN
ejpam-5819	379	16	alsalafi	alsalafi	PROPN
ejpam-5819	379	17	,	,	PUNCT
ejpam-5819	379	18	s.	s.	PROPN
ejpam-5819	379	19	h.	h.	PROPN
ejpam-5819	379	20	shahbaz	shahbaz	PROPN
ejpam-5819	379	21	,	,	PUNCT
ejpam-5819	379	22	l.	l.	PROPN
ejpam-5819	379	23	i.	i.	PROPN
ejpam-5819	379	24	al	al	PROPN
ejpam-5819	379	25	-	-	PUNCT
ejpam-5819	379	26	turk	turk	PROPN
ejpam-5819	379	27	/	/	SYM
ejpam-5819	379	28	eur	eur	PROPN
ejpam-5819	379	29	.	.	PUNCT
ejpam-5819	380	1	j.	j.	PROPN
ejpam-5819	380	2	pure	pure	PROPN
ejpam-5819	380	3	appl	appl	PROPN
ejpam-5819	380	4	.	.	PROPN
ejpam-5819	380	5	math	math	PROPN
ejpam-5819	380	6	,	,	PUNCT
ejpam-5819	380	7	18	18	NUM
ejpam-5819	380	8	(	(	PUNCT
ejpam-5819	380	9	2	2	NUM
ejpam-5819	380	10	)	)	PUNCT
ejpam-5819	380	11	(	(	PUNCT
ejpam-5819	380	12	2025	2025	NUM
ejpam-5819	380	13	)	)	PUNCT
ejpam-5819	380	14	,	,	PUNCT
ejpam-5819	380	15	5819	5819	NUM
ejpam-5819	380	16	15	15	NUM
ejpam-5819	380	17	of	of	ADP
ejpam-5819	380	18	28	28	NUM
ejpam-5819	380	19	where	where	SCONJ
ejpam-5819	380	20	tx	tx	PROPN
ejpam-5819	380	21	=	=	SYM
ejpam-5819	380	22	1−	1−	NUM
ejpam-5819	380	23	(	(	PUNCT
ejpam-5819	380	24	1	1	NUM
ejpam-5819	380	25	+	+	CCONJ
ejpam-5819	380	26	xa1)−b1	xa1)−b1	PROPN
ejpam-5819	380	27	and	and	CCONJ
ejpam-5819	380	28	ty	ty	NOUN
ejpam-5819	380	29	=	=	SYM
ejpam-5819	380	30	1−	1−	NUM
ejpam-5819	380	31	(	(	PUNCT
ejpam-5819	380	32	1	1	NUM
ejpam-5819	380	33	+	+	NUM
ejpam-5819	380	34	ya2)−b2	ya2)−b2	PROPN
ejpam-5819	380	35	.	.	PUNCT
ejpam-5819	381	1	in	in	ADP
ejpam-5819	381	2	figure	figure	NOUN
ejpam-5819	381	3	(	(	PUNCT
ejpam-5819	381	4	1	1	NUM
ejpam-5819	381	5	)	)	PUNCT
ejpam-5819	381	6	,	,	PUNCT
ejpam-5819	381	7	the	the	DET
ejpam-5819	381	8	cdf	cdf	PROPN
ejpam-5819	381	9	of	of	ADP
ejpam-5819	381	10	the	the	DET
ejpam-5819	381	11	bctb	bctb	NOUN
ejpam-5819	381	12	distribution	distribution	NOUN
ejpam-5819	381	13	increases	increase	VERB
ejpam-5819	381	14	monotonically	monotonically	ADV
ejpam-5819	381	15	,	,	PUNCT
ejpam-5819	381	16	with	with	ADP
ejpam-5819	381	17	higher	high	ADJ
ejpam-5819	381	18	values	value	NOUN
ejpam-5819	381	19	appearing	appear	VERB
ejpam-5819	381	20	in	in	ADP
ejpam-5819	381	21	the	the	DET
ejpam-5819	381	22	upper	upper	ADJ
ejpam-5819	381	23	right	right	ADJ
ejpam-5819	381	24	corners	corner	NOUN
ejpam-5819	381	25	of	of	ADP
ejpam-5819	381	26	each	each	DET
ejpam-5819	381	27	graph	graph	NOUN
ejpam-5819	381	28	.	.	PUNCT
ejpam-5819	382	1	the	the	DET
ejpam-5819	382	2	surface	surface	NOUN
ejpam-5819	382	3	curvature	curvature	NOUN
ejpam-5819	382	4	varies	vary	VERB
ejpam-5819	382	5	across	across	ADP
ejpam-5819	382	6	the	the	DET
ejpam-5819	382	7	plots	plot	NOUN
ejpam-5819	382	8	,	,	PUNCT
ejpam-5819	382	9	reflecting	reflect	VERB
ejpam-5819	382	10	the	the	DET
ejpam-5819	382	11	influence	influence	NOUN
ejpam-5819	382	12	of	of	ADP
ejpam-5819	382	13	the	the	DET
ejpam-5819	382	14	parameters	parameter	NOUN
ejpam-5819	382	15	on	on	ADP
ejpam-5819	382	16	the	the	DET
ejpam-5819	382	17	dependence	dependence	NOUN
ejpam-5819	382	18	structure	structure	NOUN
ejpam-5819	382	19	and	and	CCONJ
ejpam-5819	382	20	shape	shape	NOUN
ejpam-5819	382	21	of	of	ADP
ejpam-5819	382	22	the	the	DET
ejpam-5819	382	23	distribution	distribution	NOUN
ejpam-5819	382	24	.	.	PUNCT
ejpam-5819	383	1	figure	figure	NOUN
ejpam-5819	383	2	1	1	NUM
ejpam-5819	383	3	:	:	PUNCT
ejpam-5819	383	4	the	the	DET
ejpam-5819	383	5	cdf	cdf	PROPN
ejpam-5819	383	6	of	of	ADP
ejpam-5819	383	7	bctb	bctb	NOUN
ejpam-5819	383	8	distribution	distribution	NOUN
ejpam-5819	383	9	for	for	ADP
ejpam-5819	383	10	x	x	PROPN
ejpam-5819	383	11	,	,	PUNCT
ejpam-5819	383	12	y	y	PROPN
ejpam-5819	383	13	,	,	PUNCT
ejpam-5819	383	14	a1	a1	PROPN
ejpam-5819	383	15	,	,	PUNCT
ejpam-5819	383	16	a2	a2	PROPN
ejpam-5819	383	17	,	,	PUNCT
ejpam-5819	383	18	b1	b1	NOUN
ejpam-5819	383	19	,	,	PUNCT
ejpam-5819	383	20	b2	b2	NOUN
ejpam-5819	383	21	>	>	X
ejpam-5819	383	22	0	0	PROPN
ejpam-5819	383	23	.	.	PUNCT
ejpam-5819	384	1	the	the	DET
ejpam-5819	384	2	density	density	NOUN
ejpam-5819	384	3	function	function	NOUN
ejpam-5819	384	4	of	of	ADP
ejpam-5819	384	5	the	the	DET
ejpam-5819	384	6	bctb	bctb	NOUN
ejpam-5819	384	7	distribution	distribution	NOUN
ejpam-5819	384	8	corresponda	corresponda	NOUN
ejpam-5819	384	9	.	.	PUNCT
ejpam-5819	385	1	a.	a.	PROPN
ejpam-5819	385	2	alsalafi	alsalafi	PROPN
ejpam-5819	385	3	,	,	PUNCT
ejpam-5819	385	4	s.	s.	PROPN
ejpam-5819	385	5	h.	h.	PROPN
ejpam-5819	385	6	shahbaz	shahbaz	PROPN
ejpam-5819	385	7	,	,	PUNCT
ejpam-5819	385	8	l.	l.	PROPN
ejpam-5819	385	9	i.	i.	PROPN
ejpam-5819	385	10	al	al	PROPN
ejpam-5819	385	11	-	-	PUNCT
ejpam-5819	385	12	turk	turk	PROPN
ejpam-5819	385	13	/	/	SYM
ejpam-5819	385	14	eur	eur	PROPN
ejpam-5819	385	15	.	.	PUNCT
ejpam-5819	386	1	j.	j.	PROPN
ejpam-5819	386	2	pure	pure	PROPN
ejpam-5819	386	3	appl	appl	PROPN
ejpam-5819	386	4	.	.	PROPN
ejpam-5819	386	5	math	math	PROPN
ejpam-5819	386	6	,	,	PUNCT
ejpam-5819	386	7	18	18	NUM
ejpam-5819	386	8	(	(	PUNCT
ejpam-5819	386	9	2	2	NUM
ejpam-5819	386	10	)	)	PUNCT
ejpam-5819	386	11	(	(	PUNCT
ejpam-5819	386	12	2025	2025	NUM
ejpam-5819	386	13	)	)	PUNCT
ejpam-5819	386	14	,	,	PUNCT
ejpam-5819	386	15	5819	5819	NUM
ejpam-5819	386	16	16	16	NUM
ejpam-5819	386	17	of	of	ADP
ejpam-5819	386	18	28	28	NUM
ejpam-5819	386	19	ing	ing	ADJ
ejpam-5819	386	20	to	to	ADP
ejpam-5819	386	21	(	(	PUNCT
ejpam-5819	386	22	32	32	NUM
ejpam-5819	386	23	)	)	PUNCT
ejpam-5819	386	24	is	be	AUX
ejpam-5819	386	25	obtained	obtain	VERB
ejpam-5819	386	26	by	by	ADP
ejpam-5819	386	27	using	use	VERB
ejpam-5819	386	28	the	the	DET
ejpam-5819	386	29	following	follow	VERB
ejpam-5819	386	30	pdf	pdf	NOUN
ejpam-5819	386	31	of	of	ADP
ejpam-5819	386	32	burr	burr	NOUN
ejpam-5819	386	33	distribution	distribution	NOUN
ejpam-5819	386	34	g1(x	g1(x	NOUN
ejpam-5819	386	35	)	)	PUNCT
ejpam-5819	386	36	=	=	PRON
ejpam-5819	386	37	a1b1x	a1b1x	PUNCT
ejpam-5819	386	38	a1−1(1	a1−1(1	VERB
ejpam-5819	386	39	+	+	PROPN
ejpam-5819	386	40	xa1)−(b1	xa1)−(b1	PROPN
ejpam-5819	386	41	+	+	NOUN
ejpam-5819	386	42	1);x	1);x	NUM
ejpam-5819	386	43	,	,	PUNCT
ejpam-5819	386	44	a1	a1	NOUN
ejpam-5819	386	45	,	,	PUNCT
ejpam-5819	386	46	b1	b1	NOUN
ejpam-5819	386	47	≥	≥	NUM
ejpam-5819	386	48	0	0	NUM
ejpam-5819	386	49	,	,	PUNCT
ejpam-5819	386	50	(	(	PUNCT
ejpam-5819	386	51	33	33	NUM
ejpam-5819	386	52	)	)	PUNCT
ejpam-5819	386	53	and	and	CCONJ
ejpam-5819	386	54	g2(y	g2(y	NOUN
ejpam-5819	386	55	)	)	PUNCT
ejpam-5819	386	56	=	=	NOUN
ejpam-5819	386	57	a2b2y	a2b2y	NUM
ejpam-5819	386	58	a2−1(1	a2−1(1	ADV
ejpam-5819	386	59	+	+	CCONJ
ejpam-5819	386	60	ya2)−(b2	ya2)−(b2	NOUN
ejpam-5819	386	61	+	+	NOUN
ejpam-5819	386	62	1	1	NUM
ejpam-5819	386	63	)	)	PUNCT
ejpam-5819	386	64	;	;	PUNCT
ejpam-5819	386	65	y	y	PROPN
ejpam-5819	386	66	,	,	PUNCT
ejpam-5819	386	67	a2	a2	PROPN
ejpam-5819	386	68	,	,	PUNCT
ejpam-5819	386	69	b2	b2	NOUN
ejpam-5819	386	70	≥	≥	NOUN
ejpam-5819	386	71	0	0	NUM
ejpam-5819	386	72	.	.	PUNCT
ejpam-5819	387	1	(	(	PUNCT
ejpam-5819	387	2	34	34	NUM
ejpam-5819	387	3	)	)	PUNCT
ejpam-5819	387	4	in	in	ADP
ejpam-5819	387	5	(	(	PUNCT
ejpam-5819	387	6	7	7	NUM
ejpam-5819	387	7	)	)	PUNCT
ejpam-5819	387	8	,	,	PUNCT
ejpam-5819	387	9	the	the	DET
ejpam-5819	387	10	joint	joint	ADJ
ejpam-5819	387	11	density	density	NOUN
ejpam-5819	387	12	function	function	NOUN
ejpam-5819	387	13	of	of	ADP
ejpam-5819	387	14	the	the	DET
ejpam-5819	387	15	proposed	propose	VERB
ejpam-5819	387	16	bctb	bctb	NOUN
ejpam-5819	387	17	distribution	distribution	NOUN
ejpam-5819	387	18	is	be	AUX
ejpam-5819	387	19	given	give	VERB
ejpam-5819	387	20	as	as	ADP
ejpam-5819	387	21	fbctb(x	fbctb(x	NOUN
ejpam-5819	387	22	,	,	PUNCT
ejpam-5819	387	23	y	y	NOUN
ejpam-5819	387	24	)	)	PUNCT
ejpam-5819	387	25	=	=	SYM
ejpam-5819	387	26	a1a2b1b2x	a1a2b1b2x	NOUN
ejpam-5819	387	27	a1−1ya2−1(1	a1−1ya2−1(1	PROPN
ejpam-5819	387	28	+	+	NOUN
ejpam-5819	387	29	xa1)−(b1	xa1)−(b1	PROPN
ejpam-5819	387	30	+	+	ADJ
ejpam-5819	387	31	1)(1	1)(1	NUM
ejpam-5819	387	32	+	+	CCONJ
ejpam-5819	387	33	ya2)−(b2	ya2)−(b2	NOUN
ejpam-5819	387	34	+	+	NOUN
ejpam-5819	387	35	1	1	NUM
ejpam-5819	387	36	)	)	PUNCT
ejpam-5819	387	37	[	[	PUNCT
ejpam-5819	387	38	1	1	NUM
ejpam-5819	387	39	+	+	NUM
ejpam-5819	387	40	λ1	λ1	ADJ
ejpam-5819	387	41	+	+	NUM
ejpam-5819	387	42	λ3	λ3	PROPN
ejpam-5819	388	1	+	+	NOUN
ejpam-5819	388	2	λ5	λ5	NOUN
ejpam-5819	388	3	+	+	CCONJ
ejpam-5819	388	4	2(λ2	2(λ2	NUM
ejpam-5819	388	5	−	−	NOUN
ejpam-5819	388	6	λ1)tx−	λ1)tx−	X
ejpam-5819	388	7	3(λ2	3(λ2	NUM
ejpam-5819	389	1	+	+	CCONJ
ejpam-5819	389	2	λ5)tx	λ5)tx	NOUN
ejpam-5819	389	3	2	2	NUM
ejpam-5819	390	1	−	−	NUM
ejpam-5819	390	2	2(λ3	2(λ3	NUM
ejpam-5819	390	3	−	−	NOUN
ejpam-5819	390	4	λ4)ty	λ4)ty	NOUN
ejpam-5819	390	5	−	−	PROPN
ejpam-5819	391	1	3(λ4	3(λ4	NUM
ejpam-5819	392	1	+	+	NUM
ejpam-5819	392	2	λ5)ty	λ5)ty	PROPN
ejpam-5819	392	3	2	2	NUM
ejpam-5819	392	4	+	+	SYM
ejpam-5819	392	5	9λ5tx	9λ5tx	NUM
ejpam-5819	392	6	2ty2	2ty2	NUM
ejpam-5819	392	7	]	]	PUNCT
ejpam-5819	392	8	,	,	PUNCT
ejpam-5819	392	9	(	(	PUNCT
ejpam-5819	392	10	35	35	NUM
ejpam-5819	392	11	)	)	PUNCT
ejpam-5819	392	12	where	where	SCONJ
ejpam-5819	392	13	(	(	PUNCT
ejpam-5819	392	14	b1	b1	NOUN
ejpam-5819	392	15	,	,	PUNCT
ejpam-5819	392	16	b2	b2	NOUN
ejpam-5819	392	17	)	)	PUNCT
ejpam-5819	392	18	>	>	X
ejpam-5819	392	19	0	0	NUM
ejpam-5819	392	20	,	,	PUNCT
ejpam-5819	392	21	are	be	AUX
ejpam-5819	392	22	the	the	DET
ejpam-5819	392	23	scale	scale	NOUN
ejpam-5819	392	24	parameters	parameter	NOUN
ejpam-5819	392	25	,	,	PUNCT
ejpam-5819	392	26	(	(	PUNCT
ejpam-5819	392	27	a1	a1	NOUN
ejpam-5819	392	28	,	,	PUNCT
ejpam-5819	392	29	a2	a2	PROPN
ejpam-5819	392	30	)	)	PUNCT
ejpam-5819	392	31	>	>	X
ejpam-5819	392	32	0	0	NUM
ejpam-5819	392	33	are	be	AUX
ejpam-5819	392	34	the	the	DET
ejpam-5819	392	35	shape	shape	NOUN
ejpam-5819	392	36	parameters	parameter	NOUN
ejpam-5819	392	37	,	,	PUNCT
ejpam-5819	392	38	(	(	PUNCT
ejpam-5819	392	39	λ1	λ1	ADJ
ejpam-5819	392	40	,	,	PUNCT
ejpam-5819	392	41	λ2	λ2	PROPN
ejpam-5819	392	42	,	,	PUNCT
ejpam-5819	392	43	λ3	λ3	PROPN
ejpam-5819	392	44	,	,	PUNCT
ejpam-5819	392	45	λ4	λ4	PROPN
ejpam-5819	392	46	,	,	PUNCT
ejpam-5819	392	47	λ5	λ5	NOUN
ejpam-5819	392	48	)	)	PUNCT
ejpam-5819	392	49	are	be	AUX
ejpam-5819	392	50	the	the	DET
ejpam-5819	392	51	transmutation	transmutation	NOUN
ejpam-5819	392	52	parameters	parameter	NOUN
ejpam-5819	392	53	such	such	ADJ
ejpam-5819	392	54	that	that	SCONJ
ejpam-5819	392	55	(	(	PUNCT
ejpam-5819	392	56	λ1	λ1	ADJ
ejpam-5819	392	57	,	,	PUNCT
ejpam-5819	392	58	λ2	λ2	PROPN
ejpam-5819	392	59	,	,	PUNCT
ejpam-5819	392	60	λ3	λ3	PROPN
ejpam-5819	392	61	,	,	PUNCT
ejpam-5819	392	62	λ4	λ4	PROPN
ejpam-5819	392	63	,	,	PUNCT
ejpam-5819	392	64	λ5	λ5	NOUN
ejpam-5819	392	65	)	)	PUNCT
ejpam-5819	392	66	∈	∈	NOUN
ejpam-5819	393	1	[	[	X
ejpam-5819	393	2	−1	−1	NOUN
ejpam-5819	393	3	,	,	PUNCT
ejpam-5819	393	4	1	1	NUM
ejpam-5819	393	5	]	]	PUNCT
ejpam-5819	393	6	under	under	ADP
ejpam-5819	393	7	these	these	DET
ejpam-5819	393	8	conditions:−1	conditions:−1	ADJ
ejpam-5819	393	9	≤	≤	ADJ
ejpam-5819	393	10	1	1	NUM
ejpam-5819	393	11	+	+	PUNCT
ejpam-5819	393	12	λ1	λ1	ADJ
ejpam-5819	393	13	+	+	NUM
ejpam-5819	393	14	λ3	λ3	PROPN
ejpam-5819	394	1	+	+	NOUN
ejpam-5819	394	2	λ5	λ5	VERB
ejpam-5819	394	3	≤	≤	NUM
ejpam-5819	395	1	1,−1	1,−1	NUM
ejpam-5819	395	2	≤	≤	NUM
ejpam-5819	395	3	λ2	λ2	NOUN
ejpam-5819	395	4	−	−	PROPN
ejpam-5819	395	5	λ1	λ1	ADJ
ejpam-5819	395	6	≤	≤	NUM
ejpam-5819	395	7	1,−1	1,−1	NUM
ejpam-5819	395	8	≤	≤	NUM
ejpam-5819	395	9	λ2	λ2	NOUN
ejpam-5819	395	10	+	+	CCONJ
ejpam-5819	395	11	λ5	λ5	VERB
ejpam-5819	395	12	≤	≤	NUM
ejpam-5819	395	13	1	1	NUM
ejpam-5819	395	14	,	,	PUNCT
ejpam-5819	395	15	−1	−1	NOUN
ejpam-5819	395	16	≤	≤	PUNCT
ejpam-5819	396	1	λ3	λ3	PROPN
ejpam-5819	396	2	−	−	PROPN
ejpam-5819	396	3	λ4	λ4	ADJ
ejpam-5819	396	4	≤	≤	ADJ
ejpam-5819	396	5	1	1	NUM
ejpam-5819	396	6	and	and	CCONJ
ejpam-5819	396	7	−1	−1	NOUN
ejpam-5819	396	8	≤	≤	PUNCT
ejpam-5819	396	9	λ4	λ4	PROPN
ejpam-5819	396	10	+	+	CCONJ
ejpam-5819	396	11	λ5	λ5	VERB
ejpam-5819	396	12	≤	≤	NUM
ejpam-5819	396	13	1	1	NUM
ejpam-5819	396	14	.	.	PUNCT
ejpam-5819	397	1	in	in	ADP
ejpam-5819	397	2	figure	figure	NOUN
ejpam-5819	397	3	(	(	PUNCT
ejpam-5819	397	4	2	2	NUM
ejpam-5819	397	5	)	)	PUNCT
ejpam-5819	397	6	,	,	PUNCT
ejpam-5819	397	7	pdf	pdf	NOUN
ejpam-5819	397	8	plot	plot	NOUN
ejpam-5819	397	9	of	of	ADP
ejpam-5819	397	10	the	the	DET
ejpam-5819	397	11	bctb	bctb	NOUN
ejpam-5819	397	12	distribution	distribution	NOUN
ejpam-5819	397	13	is	be	AUX
ejpam-5819	397	14	shown	show	VERB
ejpam-5819	397	15	.	.	PUNCT
ejpam-5819	398	1	among	among	ADP
ejpam-5819	398	2	the	the	DET
ejpam-5819	398	3	six	six	NUM
ejpam-5819	398	4	plots	plot	NOUN
ejpam-5819	398	5	in	in	ADP
ejpam-5819	398	6	figure	figure	NOUN
ejpam-5819	398	7	(	(	PUNCT
ejpam-5819	398	8	2	2	NUM
ejpam-5819	398	9	)	)	PUNCT
ejpam-5819	398	10	,	,	PUNCT
ejpam-5819	398	11	some	some	PRON
ejpam-5819	398	12	show	show	VERB
ejpam-5819	398	13	centrally	centrally	ADV
ejpam-5819	398	14	located	locate	VERB
ejpam-5819	398	15	peaks	peak	NOUN
ejpam-5819	398	16	,	,	PUNCT
ejpam-5819	398	17	indicating	indicate	VERB
ejpam-5819	398	18	symmetric	symmetric	ADJ
ejpam-5819	398	19	or	or	CCONJ
ejpam-5819	398	20	balanced	balanced	ADJ
ejpam-5819	398	21	distributions	distribution	NOUN
ejpam-5819	398	22	.	.	PUNCT
ejpam-5819	399	1	other	other	ADJ
ejpam-5819	399	2	plots	plot	NOUN
ejpam-5819	399	3	exhibit	exhibit	VERB
ejpam-5819	399	4	off	off	ADV
ejpam-5819	399	5	-	-	PUNCT
ejpam-5819	399	6	centered	center	VERB
ejpam-5819	399	7	peaks	peak	NOUN
ejpam-5819	399	8	or	or	CCONJ
ejpam-5819	399	9	more	more	ADJ
ejpam-5819	399	10	pronounced	pronounced	ADJ
ejpam-5819	399	11	slopes	slope	NOUN
ejpam-5819	399	12	,	,	PUNCT
ejpam-5819	399	13	reflecting	reflect	VERB
ejpam-5819	399	14	skewed	skewed	ADJ
ejpam-5819	399	15	distributions	distribution	NOUN
ejpam-5819	399	16	or	or	CCONJ
ejpam-5819	399	17	stronger	strong	ADJ
ejpam-5819	399	18	interactions	interaction	NOUN
ejpam-5819	399	19	between	between	ADP
ejpam-5819	399	20	the	the	DET
ejpam-5819	399	21	two	two	NUM
ejpam-5819	399	22	variables	variable	NOUN
ejpam-5819	399	23	.	.	PUNCT
ejpam-5819	400	1	a.	a.	NOUN
ejpam-5819	400	2	a.	a.	PROPN
ejpam-5819	400	3	alsalafi	alsalafi	PROPN
ejpam-5819	400	4	,	,	PUNCT
ejpam-5819	400	5	s.	s.	PROPN
ejpam-5819	400	6	h.	h.	PROPN
ejpam-5819	400	7	shahbaz	shahbaz	PROPN
ejpam-5819	400	8	,	,	PUNCT
ejpam-5819	400	9	l.	l.	PROPN
ejpam-5819	400	10	i.	i.	PROPN
ejpam-5819	400	11	al	al	PROPN
ejpam-5819	400	12	-	-	PUNCT
ejpam-5819	400	13	turk	turk	PROPN
ejpam-5819	400	14	/	/	SYM
ejpam-5819	400	15	eur	eur	PROPN
ejpam-5819	400	16	.	.	PUNCT
ejpam-5819	401	1	j.	j.	PROPN
ejpam-5819	401	2	pure	pure	PROPN
ejpam-5819	401	3	appl	appl	PROPN
ejpam-5819	401	4	.	.	PROPN
ejpam-5819	401	5	math	math	PROPN
ejpam-5819	401	6	,	,	PUNCT
ejpam-5819	401	7	18	18	NUM
ejpam-5819	401	8	(	(	PUNCT
ejpam-5819	401	9	2	2	NUM
ejpam-5819	401	10	)	)	PUNCT
ejpam-5819	401	11	(	(	PUNCT
ejpam-5819	401	12	2025	2025	NUM
ejpam-5819	401	13	)	)	PUNCT
ejpam-5819	401	14	,	,	PUNCT
ejpam-5819	401	15	5819	5819	NUM
ejpam-5819	401	16	17	17	NUM
ejpam-5819	401	17	of	of	ADP
ejpam-5819	401	18	28	28	NUM
ejpam-5819	401	19	figure	figure	NOUN
ejpam-5819	401	20	2	2	NUM
ejpam-5819	401	21	:	:	PUNCT
ejpam-5819	401	22	the	the	DET
ejpam-5819	401	23	pdf	pdf	NOUN
ejpam-5819	401	24	of	of	ADP
ejpam-5819	401	25	bctb	bctb	NOUN
ejpam-5819	401	26	distribution	distribution	NOUN
ejpam-5819	401	27	the	the	DET
ejpam-5819	401	28	following	follow	VERB
ejpam-5819	401	29	special	special	ADJ
ejpam-5819	401	30	cases	case	NOUN
ejpam-5819	401	31	can	can	AUX
ejpam-5819	401	32	be	be	AUX
ejpam-5819	401	33	immediately	immediately	ADV
ejpam-5819	401	34	obtained	obtain	VERB
ejpam-5819	401	35	from	from	ADP
ejpam-5819	401	36	the	the	DET
ejpam-5819	401	37	distribution	distribution	NOUN
ejpam-5819	401	38	and	and	CCONJ
ejpam-5819	401	39	density	density	NOUN
ejpam-5819	401	40	functions	function	NOUN
ejpam-5819	401	41	given	give	VERB
ejpam-5819	401	42	in	in	ADP
ejpam-5819	401	43	(	(	PUNCT
ejpam-5819	401	44	32	32	NUM
ejpam-5819	401	45	)	)	PUNCT
ejpam-5819	401	46	and	and	CCONJ
ejpam-5819	401	47	(	(	PUNCT
ejpam-5819	401	48	35	35	NUM
ejpam-5819	401	49	):	):	PUNCT
ejpam-5819	401	50	1	1	NUM
ejpam-5819	401	51	.	.	X
ejpam-5819	402	1	we	we	PRON
ejpam-5819	402	2	can	can	AUX
ejpam-5819	402	3	obtain	obtain	VERB
ejpam-5819	402	4	the	the	DET
ejpam-5819	402	5	bivariate	bivariate	ADJ
ejpam-5819	402	6	cubic	cubic	ADJ
ejpam-5819	402	7	transmuted	transmute	VERB
ejpam-5819	402	8	lomax	lomax	NOUN
ejpam-5819	402	9	distribution	distribution	NOUN
ejpam-5819	402	10	(	(	PUNCT
ejpam-5819	402	11	bctl	bctl	NOUN
ejpam-5819	402	12	for	for	ADP
ejpam-5819	402	13	short	short	ADJ
ejpam-5819	402	14	)	)	PUNCT
ejpam-5819	402	15	by	by	ADP
ejpam-5819	402	16	setting	set	VERB
ejpam-5819	402	17	a1	a1	NOUN
ejpam-5819	402	18	=	=	NOUN
ejpam-5819	402	19	a2	a2	PROPN
ejpam-5819	402	20	=	=	PUNCT
ejpam-5819	402	21	1	1	NUM
ejpam-5819	402	22	in	in	ADP
ejpam-5819	402	23	(	(	PUNCT
ejpam-5819	402	24	32	32	NUM
ejpam-5819	402	25	)	)	PUNCT
ejpam-5819	402	26	and	and	CCONJ
ejpam-5819	402	27	(	(	PUNCT
ejpam-5819	402	28	35	35	NUM
ejpam-5819	402	29	)	)	PUNCT
ejpam-5819	402	30	.	.	PUNCT
ejpam-5819	403	1	2	2	X
ejpam-5819	403	2	.	.	X
ejpam-5819	403	3	we	we	PRON
ejpam-5819	403	4	can	can	AUX
ejpam-5819	403	5	obtain	obtain	VERB
ejpam-5819	403	6	the	the	DET
ejpam-5819	403	7	bivariate	bivariate	ADJ
ejpam-5819	403	8	cubic	cubic	ADJ
ejpam-5819	403	9	transmuted	transmute	VERB
ejpam-5819	403	10	log	log	NOUN
ejpam-5819	403	11	-	-	PUNCT
ejpam-5819	403	12	logistic	logistic	ADJ
ejpam-5819	403	13	distribution	distribution	NOUN
ejpam-5819	403	14	(	(	PUNCT
ejpam-5819	403	15	bctlog	bctlog	NOUN
ejpam-5819	403	16	-	-	PUNCT
ejpam-5819	403	17	l	l	NOUN
ejpam-5819	403	18	for	for	ADP
ejpam-5819	403	19	short	short	ADJ
ejpam-5819	403	20	)	)	PUNCT
ejpam-5819	403	21	by	by	ADP
ejpam-5819	403	22	setting	set	VERB
ejpam-5819	403	23	b1	b1	NOUN
ejpam-5819	403	24	=	=	SYM
ejpam-5819	403	25	b2	b2	NOUN
ejpam-5819	403	26	=	=	SYM
ejpam-5819	403	27	1	1	NUM
ejpam-5819	403	28	in	in	ADP
ejpam-5819	403	29	(	(	PUNCT
ejpam-5819	403	30	32	32	NUM
ejpam-5819	403	31	)	)	PUNCT
ejpam-5819	403	32	and	and	CCONJ
ejpam-5819	403	33	(	(	PUNCT
ejpam-5819	403	34	35	35	NUM
ejpam-5819	403	35	)	)	PUNCT
ejpam-5819	403	36	.	.	PUNCT
ejpam-5819	404	1	a.	a.	NOUN
ejpam-5819	404	2	a.	a.	PROPN
ejpam-5819	404	3	alsalafi	alsalafi	PROPN
ejpam-5819	404	4	,	,	PUNCT
ejpam-5819	404	5	s.	s.	PROPN
ejpam-5819	404	6	h.	h.	PROPN
ejpam-5819	404	7	shahbaz	shahbaz	PROPN
ejpam-5819	404	8	,	,	PUNCT
ejpam-5819	404	9	l.	l.	PROPN
ejpam-5819	404	10	i.	i.	PROPN
ejpam-5819	404	11	al	al	PROPN
ejpam-5819	404	12	-	-	PUNCT
ejpam-5819	404	13	turk	turk	PROPN
ejpam-5819	404	14	/	/	SYM
ejpam-5819	404	15	eur	eur	PROPN
ejpam-5819	404	16	.	.	PUNCT
ejpam-5819	405	1	j.	j.	PROPN
ejpam-5819	405	2	pure	pure	PROPN
ejpam-5819	405	3	appl	appl	PROPN
ejpam-5819	405	4	.	.	PROPN
ejpam-5819	405	5	math	math	PROPN
ejpam-5819	405	6	,	,	PUNCT
ejpam-5819	405	7	18	18	NUM
ejpam-5819	405	8	(	(	PUNCT
ejpam-5819	405	9	2	2	NUM
ejpam-5819	405	10	)	)	PUNCT
ejpam-5819	405	11	(	(	PUNCT
ejpam-5819	405	12	2025	2025	NUM
ejpam-5819	405	13	)	)	PUNCT
ejpam-5819	405	14	,	,	PUNCT
ejpam-5819	405	15	5819	5819	NUM
ejpam-5819	405	16	18	18	NUM
ejpam-5819	405	17	of	of	ADP
ejpam-5819	405	18	28	28	NUM
ejpam-5819	405	19	the	the	DET
ejpam-5819	405	20	marginal	marginal	ADJ
ejpam-5819	405	21	cdf	cdf	PROPN
ejpam-5819	405	22	of	of	ADP
ejpam-5819	405	23	x	x	PUNCT
ejpam-5819	405	24	for	for	ADP
ejpam-5819	405	25	bctb	bctb	NOUN
ejpam-5819	405	26	distribution	distribution	NOUN
ejpam-5819	405	27	is	be	AUX
ejpam-5819	405	28	obtained	obtain	VERB
ejpam-5819	405	29	by	by	ADP
ejpam-5819	405	30	using	use	VERB
ejpam-5819	405	31	(	(	PUNCT
ejpam-5819	405	32	30	30	NUM
ejpam-5819	405	33	)	)	PUNCT
ejpam-5819	405	34	in	in	ADP
ejpam-5819	405	35	(	(	PUNCT
ejpam-5819	405	36	8)	8)	NUM
ejpam-5819	405	37	,	,	PUNCT
ejpam-5819	405	38	as	as	ADP
ejpam-5819	405	39	:	:	PUNCT
ejpam-5819	405	40	fmct	fmct	ADJ
ejpam-5819	405	41	(	(	PUNCT
ejpam-5819	405	42	x	x	X
ejpam-5819	405	43	)	)	PUNCT
ejpam-5819	405	44	=	=	SYM
ejpam-5819	405	45	tx	tx	PROPN
ejpam-5819	405	46	[	[	PUNCT
ejpam-5819	406	1	1−	1−	NUM
ejpam-5819	406	2	λ2(1	λ2(1	NOUN
ejpam-5819	406	3	+	+	NUM
ejpam-5819	406	4	xa1)−2b1	xa1)−2b1	NOUN
ejpam-5819	407	1	+	+	CCONJ
ejpam-5819	407	2	(	(	PUNCT
ejpam-5819	407	3	λ1	λ1	ADJ
ejpam-5819	407	4	+	+	NOUN
ejpam-5819	407	5	λ2)(1	λ2)(1	PRON
ejpam-5819	407	6	+	+	CCONJ
ejpam-5819	407	7	xa1)−b1	xa1)−b1	PROPN
ejpam-5819	407	8	]	]	PUNCT
ejpam-5819	407	9	.	.	PUNCT
ejpam-5819	408	1	now	now	ADV
ejpam-5819	408	2	using	use	VERB
ejpam-5819	408	3	(	(	PUNCT
ejpam-5819	408	4	31	31	NUM
ejpam-5819	408	5	)	)	PUNCT
ejpam-5819	408	6	in	in	ADP
ejpam-5819	408	7	(	(	PUNCT
ejpam-5819	408	8	9	9	NUM
ejpam-5819	408	9	)	)	PUNCT
ejpam-5819	408	10	.	.	PUNCT
ejpam-5819	409	1	the	the	DET
ejpam-5819	409	2	marginal	marginal	ADJ
ejpam-5819	409	3	cdfs	cdfs	NOUN
ejpam-5819	409	4	of	of	ADP
ejpam-5819	409	5	the	the	DET
ejpam-5819	409	6	random	random	ADJ
ejpam-5819	409	7	variable	variable	NOUN
ejpam-5819	409	8	y	y	NOUN
ejpam-5819	409	9	for	for	ADP
ejpam-5819	409	10	the	the	DET
ejpam-5819	409	11	bctb	bctb	NOUN
ejpam-5819	409	12	distribution	distribution	NOUN
ejpam-5819	409	13	is	be	AUX
ejpam-5819	409	14	fmct	fmct	ADJ
ejpam-5819	409	15	(	(	PUNCT
ejpam-5819	409	16	y	y	NOUN
ejpam-5819	409	17	)	)	PUNCT
ejpam-5819	409	18	=	=	SYM
ejpam-5819	410	1	ty	ty	INTJ
ejpam-5819	410	2	[	[	PUNCT
ejpam-5819	410	3	1−	1−	NUM
ejpam-5819	410	4	λ4(1	λ4(1	NOUN
ejpam-5819	410	5	+	+	CCONJ
ejpam-5819	410	6	ya2)−2b2	ya2)−2b2	PROPN
ejpam-5819	410	7	+	+	CCONJ
ejpam-5819	410	8	(	(	PUNCT
ejpam-5819	410	9	λ3	λ3	PROPN
ejpam-5819	410	10	+	+	PROPN
ejpam-5819	410	11	λ4)(1	λ4)(1	PROPN
ejpam-5819	410	12	+	+	ADJ
ejpam-5819	410	13	ya2)−b2	ya2)−b2	NUM
ejpam-5819	410	14	]	]	PUNCT
ejpam-5819	410	15	.	.	PUNCT
ejpam-5819	411	1	using	use	VERB
ejpam-5819	411	2	the	the	DET
ejpam-5819	411	3	pdf	pdf	NOUN
ejpam-5819	411	4	of	of	ADP
ejpam-5819	411	5	burr	burr	NOUN
ejpam-5819	411	6	distribution	distribution	NOUN
ejpam-5819	411	7	(	(	PUNCT
ejpam-5819	411	8	33	33	NUM
ejpam-5819	411	9	)	)	PUNCT
ejpam-5819	411	10	and	and	CCONJ
ejpam-5819	411	11	(	(	PUNCT
ejpam-5819	411	12	30	30	NUM
ejpam-5819	411	13	)	)	PUNCT
ejpam-5819	411	14	in	in	ADP
ejpam-5819	411	15	(	(	PUNCT
ejpam-5819	411	16	10	10	NUM
ejpam-5819	411	17	)	)	PUNCT
ejpam-5819	411	18	,	,	PUNCT
ejpam-5819	411	19	the	the	DET
ejpam-5819	411	20	marginal	marginal	ADJ
ejpam-5819	411	21	density	density	NOUN
ejpam-5819	411	22	function	function	NOUN
ejpam-5819	411	23	of	of	ADP
ejpam-5819	411	24	x	x	PUNCT
ejpam-5819	411	25	for	for	SCONJ
ejpam-5819	411	26	the	the	DET
ejpam-5819	411	27	bctb	bctb	NOUN
ejpam-5819	411	28	distribution	distribution	NOUN
ejpam-5819	411	29	is	be	AUX
ejpam-5819	411	30	fx(x	fx(x	ADJ
ejpam-5819	411	31	)	)	PUNCT
ejpam-5819	412	1	=	=	SYM
ejpam-5819	412	2	a1b1x	a1b1x	PUNCT
ejpam-5819	412	3	a1−1	a1−1	PRON
ejpam-5819	412	4	(	(	PUNCT
ejpam-5819	412	5	1	1	NUM
ejpam-5819	412	6	+	+	CCONJ
ejpam-5819	412	7	xa1)(b1	xa1)(b1	VERB
ejpam-5819	412	8	+	+	NOUN
ejpam-5819	412	9	1	1	NUM
ejpam-5819	412	10	)	)	PUNCT
ejpam-5819	413	1	[	[	X
ejpam-5819	413	2	1	1	NUM
ejpam-5819	413	3	+	+	X
ejpam-5819	413	4	λ1	λ1	ADJ
ejpam-5819	413	5	+	+	NUM
ejpam-5819	413	6	2tx(λ2	2tx(λ2	NUM
ejpam-5819	413	7	−	−	NOUN
ejpam-5819	413	8	λ1)−	λ1)−	NOUN
ejpam-5819	413	9	3tx2λ2	3tx2λ2	NUM
ejpam-5819	413	10	,	,	PUNCT
ejpam-5819	413	11	(	(	PUNCT
ejpam-5819	413	12	36	36	NUM
ejpam-5819	413	13	)	)	PUNCT
ejpam-5819	413	14	again	again	ADV
ejpam-5819	413	15	,	,	PUNCT
ejpam-5819	413	16	the	the	DET
ejpam-5819	413	17	marginal	marginal	ADJ
ejpam-5819	413	18	pdf	pdf	NOUN
ejpam-5819	413	19	of	of	ADP
ejpam-5819	413	20	y	y	PROPN
ejpam-5819	413	21	for	for	ADP
ejpam-5819	413	22	the	the	DET
ejpam-5819	413	23	bctb	bctb	NOUN
ejpam-5819	413	24	distribution	distribution	NOUN
ejpam-5819	413	25	are	be	AUX
ejpam-5819	413	26	obtained	obtain	VERB
ejpam-5819	413	27	by	by	ADP
ejpam-5819	413	28	using	use	VERB
ejpam-5819	413	29	(	(	PUNCT
ejpam-5819	413	30	34	34	NUM
ejpam-5819	413	31	)	)	PUNCT
ejpam-5819	413	32	and	and	CCONJ
ejpam-5819	413	33	(	(	PUNCT
ejpam-5819	413	34	31	31	NUM
ejpam-5819	413	35	)	)	PUNCT
ejpam-5819	413	36	in	in	ADP
ejpam-5819	413	37	(	(	PUNCT
ejpam-5819	413	38	11	11	NUM
ejpam-5819	413	39	)	)	PUNCT
ejpam-5819	413	40	,	,	PUNCT
ejpam-5819	413	41	and	and	CCONJ
ejpam-5819	413	42	is	be	AUX
ejpam-5819	413	43	given	give	VERB
ejpam-5819	413	44	as	as	ADP
ejpam-5819	413	45	fy	fy	PROPN
ejpam-5819	413	46	(	(	PUNCT
ejpam-5819	413	47	y	y	NOUN
ejpam-5819	413	48	)	)	PUNCT
ejpam-5819	413	49	=	=	NOUN
ejpam-5819	413	50	a2b2y	a2b2y	NUM
ejpam-5819	414	1	a2−1	a2−1	NOUN
ejpam-5819	414	2	(	(	PUNCT
ejpam-5819	414	3	1	1	NUM
ejpam-5819	414	4	+	+	CCONJ
ejpam-5819	414	5	ya2)(b2	ya2)(b2	NOUN
ejpam-5819	414	6	+	+	NOUN
ejpam-5819	414	7	1	1	NUM
ejpam-5819	414	8	)	)	PUNCT
ejpam-5819	415	1	[	[	X
ejpam-5819	415	2	1	1	NUM
ejpam-5819	415	3	+	+	NUM
ejpam-5819	415	4	λ3	λ3	PROPN
ejpam-5819	415	5	−	−	PROPN
ejpam-5819	415	6	2ty(λ3	2ty(λ3	NUM
ejpam-5819	415	7	−	−	NOUN
ejpam-5819	415	8	λ4)−	λ4)−	PROPN
ejpam-5819	415	9	3ty2λ4	3ty2λ4	NUM
ejpam-5819	415	10	]	]	X
ejpam-5819	415	11	.	.	PUNCT
ejpam-5819	416	1	(	(	PUNCT
ejpam-5819	416	2	37	37	NUM
ejpam-5819	416	3	)	)	PUNCT
ejpam-5819	416	4	the	the	DET
ejpam-5819	416	5	conditional	conditional	ADJ
ejpam-5819	416	6	pdf	pdf	NOUN
ejpam-5819	416	7	of	of	ADP
ejpam-5819	416	8	the	the	DET
ejpam-5819	416	9	random	random	ADJ
ejpam-5819	416	10	variable	variable	NOUN
ejpam-5819	416	11	x	x	PUNCT
ejpam-5819	416	12	given	give	VERB
ejpam-5819	416	13	y	y	PROPN
ejpam-5819	416	14	=	=	SYM
ejpam-5819	416	15	y	y	PROPN
ejpam-5819	416	16	is	be	AUX
ejpam-5819	416	17	obtained	obtain	VERB
ejpam-5819	416	18	using	use	VERB
ejpam-5819	416	19	(	(	PUNCT
ejpam-5819	416	20	35	35	NUM
ejpam-5819	416	21	)	)	PUNCT
ejpam-5819	416	22	and	and	CCONJ
ejpam-5819	416	23	(	(	PUNCT
ejpam-5819	416	24	37)in	37)in	NUM
ejpam-5819	416	25	(	(	PUNCT
ejpam-5819	416	26	12	12	NUM
ejpam-5819	416	27	)	)	PUNCT
ejpam-5819	416	28	.	.	PUNCT
ejpam-5819	417	1	the	the	DET
ejpam-5819	417	2	conditional	conditional	ADJ
ejpam-5819	417	3	distribution	distribution	NOUN
ejpam-5819	417	4	of	of	ADP
ejpam-5819	417	5	x	x	PUNCT
ejpam-5819	417	6	given	give	VERB
ejpam-5819	417	7	y	y	PROPN
ejpam-5819	417	8	=	=	PUNCT
ejpam-5819	417	9	y	y	PROPN
ejpam-5819	417	10	for	for	ADP
ejpam-5819	417	11	the	the	DET
ejpam-5819	417	12	bctb	bctb	NOUN
ejpam-5819	417	13	distribution	distribution	NOUN
ejpam-5819	417	14	is	be	AUX
ejpam-5819	417	15	fbctb(x|y	fbctb(x|y	ADJ
ejpam-5819	417	16	)	)	PUNCT
ejpam-5819	417	17	=	=	SYM
ejpam-5819	417	18	a1b1x	a1b1x	PUNCT
ejpam-5819	417	19	a1−1	a1−1	PRON
ejpam-5819	417	20	(	(	PUNCT
ejpam-5819	417	21	1	1	NUM
ejpam-5819	417	22	+	+	NUM
ejpam-5819	417	23	xa1)(b1	xa1)(b1	VERB
ejpam-5819	417	24	+	+	NOUN
ejpam-5819	417	25	1)∆bctb(y	1)∆bctb(y	NUM
ejpam-5819	417	26	)	)	PUNCT
ejpam-5819	418	1	[	[	X
ejpam-5819	418	2	1	1	NUM
ejpam-5819	418	3	+	+	NUM
ejpam-5819	418	4	λ1	λ1	ADJ
ejpam-5819	418	5	+	+	NUM
ejpam-5819	418	6	λ3	λ3	PROPN
ejpam-5819	419	1	+	+	NOUN
ejpam-5819	419	2	λ5	λ5	NOUN
ejpam-5819	419	3	+	+	CCONJ
ejpam-5819	419	4	2tx(λ2	2tx(λ2	NUM
ejpam-5819	419	5	−	−	NOUN
ejpam-5819	419	6	λ1)−	λ1)−	NOUN
ejpam-5819	419	7	3tx2(λ2	3tx2(λ2	NUM
ejpam-5819	419	8	+	+	CCONJ
ejpam-5819	419	9	λ5)−	λ5)−	NOUN
ejpam-5819	419	10	2ty(λ3	2ty(λ3	NUM
ejpam-5819	419	11	−	−	NOUN
ejpam-5819	419	12	λ4)−	λ4)−	PRON
ejpam-5819	419	13	3ty2(λ4	3ty2(λ4	NUM
ejpam-5819	419	14	+	+	NUM
ejpam-5819	419	15	λ5	λ5	NOUN
ejpam-5819	419	16	)	)	PUNCT
ejpam-5819	419	17	+	+	NOUN
ejpam-5819	419	18	9λ5tx	9λ5tx	NUM
ejpam-5819	419	19	2ty2	2ty2	NUM
ejpam-5819	419	20	]	]	PUNCT
ejpam-5819	419	21	,	,	PUNCT
ejpam-5819	419	22	where	where	SCONJ
ejpam-5819	419	23	∆bctb(y	∆bctb(y	VERB
ejpam-5819	419	24	)	)	PUNCT
ejpam-5819	419	25	=	=	PUNCT
ejpam-5819	420	1	[	[	X
ejpam-5819	420	2	1	1	NUM
ejpam-5819	420	3	+	+	NUM
ejpam-5819	420	4	λ3	λ3	PROPN
ejpam-5819	420	5	−	−	PROPN
ejpam-5819	420	6	2ty(λ3	2ty(λ3	NUM
ejpam-5819	420	7	−	−	NOUN
ejpam-5819	420	8	λ4)−	λ4)−	PROPN
ejpam-5819	420	9	3ty2λ4	3ty2λ4	NUM
ejpam-5819	420	10	]	]	X
ejpam-5819	420	11	,	,	PUNCT
ejpam-5819	420	12	and	and	CCONJ
ejpam-5819	420	13	the	the	DET
ejpam-5819	420	14	conditional	conditional	ADJ
ejpam-5819	420	15	distribution	distribution	NOUN
ejpam-5819	420	16	of	of	ADP
ejpam-5819	420	17	y	y	PROPN
ejpam-5819	420	18	given	give	VERB
ejpam-5819	420	19	x	x	PUNCT
ejpam-5819	420	20	=	=	PUNCT
ejpam-5819	420	21	x	x	SYM
ejpam-5819	420	22	for	for	ADP
ejpam-5819	420	23	bctb	bctb	NOUN
ejpam-5819	420	24	distribution	distribution	NOUN
ejpam-5819	420	25	is	be	AUX
ejpam-5819	420	26	obtained	obtain	VERB
ejpam-5819	420	27	by	by	ADP
ejpam-5819	420	28	using	use	VERB
ejpam-5819	420	29	(	(	PUNCT
ejpam-5819	420	30	35	35	NUM
ejpam-5819	420	31	)	)	PUNCT
ejpam-5819	420	32	and	and	CCONJ
ejpam-5819	420	33	(	(	PUNCT
ejpam-5819	420	34	36	36	NUM
ejpam-5819	420	35	)	)	PUNCT
ejpam-5819	420	36	in	in	ADP
ejpam-5819	420	37	(	(	PUNCT
ejpam-5819	420	38	13	13	NUM
ejpam-5819	420	39	)	)	PUNCT
ejpam-5819	420	40	and	and	CCONJ
ejpam-5819	420	41	is	be	AUX
ejpam-5819	420	42	fbctb(y|x	fbctb(y|x	PROPN
ejpam-5819	420	43	)	)	PUNCT
ejpam-5819	420	44	=	=	SYM
ejpam-5819	420	45	a2b2y	a2b2y	NUM
ejpam-5819	420	46	a2−1	a2−1	NOUN
ejpam-5819	420	47	(	(	PUNCT
ejpam-5819	420	48	1	1	NUM
ejpam-5819	420	49	+	+	CCONJ
ejpam-5819	420	50	ya2)(b2	ya2)(b2	PROPN
ejpam-5819	420	51	+	+	NOUN
ejpam-5819	420	52	1)∆bctb(x	1)∆bctb(x	NUM
ejpam-5819	420	53	)	)	PUNCT
ejpam-5819	420	54	[	[	PUNCT
ejpam-5819	420	55	1	1	NUM
ejpam-5819	420	56	+	+	NUM
ejpam-5819	420	57	λ1	λ1	ADJ
ejpam-5819	420	58	+	+	NUM
ejpam-5819	420	59	λ3	λ3	PROPN
ejpam-5819	420	60	+	+	NOUN
ejpam-5819	420	61	λ5	λ5	NOUN
ejpam-5819	420	62	+	+	CCONJ
ejpam-5819	420	63	2tx(λ2	2tx(λ2	NUM
ejpam-5819	420	64	−	−	NOUN
ejpam-5819	420	65	λ1)−	λ1)−	NOUN
ejpam-5819	420	66	3tx2(λ2	3tx2(λ2	NUM
ejpam-5819	420	67	+	+	CCONJ
ejpam-5819	420	68	λ5	λ5	NOUN
ejpam-5819	420	69	)	)	PUNCT
ejpam-5819	420	70	−	−	PROPN
ejpam-5819	420	71	2ty(λ3	2ty(λ3	NUM
ejpam-5819	420	72	−	−	NOUN
ejpam-5819	420	73	λ4)−	λ4)−	PRON
ejpam-5819	420	74	3ty2(λ4	3ty2(λ4	NUM
ejpam-5819	420	75	+	+	NUM
ejpam-5819	420	76	λ5	λ5	NOUN
ejpam-5819	420	77	)	)	PUNCT
ejpam-5819	420	78	+	+	NUM
ejpam-5819	420	79	9λ5ty	9λ5ty	NUM
ejpam-5819	420	80	2tx2	2tx2	NUM
ejpam-5819	420	81	]	]	PUNCT
ejpam-5819	420	82	,	,	PUNCT
ejpam-5819	420	83	where	where	SCONJ
ejpam-5819	420	84	∆bctb(x	∆bctb(x	VERB
ejpam-5819	420	85	)	)	PUNCT
ejpam-5819	420	86	=	=	PUNCT
ejpam-5819	421	1	[	[	X
ejpam-5819	421	2	1	1	NUM
ejpam-5819	421	3	+	+	NUM
ejpam-5819	421	4	λ1	λ1	PROPN
ejpam-5819	421	5	−	−	PROPN
ejpam-5819	421	6	2(λ1	2(λ1	PROPN
ejpam-5819	421	7	−	−	PROPN
ejpam-5819	421	8	λ2)tx−	λ2)tx−	X
ejpam-5819	422	1	3λ2tx	3λ2tx	NUM
ejpam-5819	422	2	2	2	NUM
ejpam-5819	422	3	]	]	PUNCT
ejpam-5819	422	4	.	.	PUNCT
ejpam-5819	422	5	a.	a.	NOUN
ejpam-5819	422	6	a.	a.	PROPN
ejpam-5819	422	7	alsalafi	alsalafi	PROPN
ejpam-5819	422	8	,	,	PUNCT
ejpam-5819	422	9	s.	s.	PROPN
ejpam-5819	422	10	h.	h.	PROPN
ejpam-5819	422	11	shahbaz	shahbaz	PROPN
ejpam-5819	422	12	,	,	PUNCT
ejpam-5819	422	13	l.	l.	PROPN
ejpam-5819	422	14	i.	i.	PROPN
ejpam-5819	422	15	al	al	PROPN
ejpam-5819	422	16	-	-	PUNCT
ejpam-5819	422	17	turk	turk	PROPN
ejpam-5819	422	18	/	/	SYM
ejpam-5819	422	19	eur	eur	PROPN
ejpam-5819	422	20	.	.	PUNCT
ejpam-5819	423	1	j.	j.	PROPN
ejpam-5819	423	2	pure	pure	PROPN
ejpam-5819	423	3	appl	appl	PROPN
ejpam-5819	423	4	.	.	PROPN
ejpam-5819	423	5	math	math	PROPN
ejpam-5819	423	6	,	,	PUNCT
ejpam-5819	423	7	18	18	NUM
ejpam-5819	423	8	(	(	PUNCT
ejpam-5819	423	9	2	2	NUM
ejpam-5819	423	10	)	)	PUNCT
ejpam-5819	423	11	(	(	PUNCT
ejpam-5819	423	12	2025	2025	NUM
ejpam-5819	423	13	)	)	PUNCT
ejpam-5819	423	14	,	,	PUNCT
ejpam-5819	423	15	5819	5819	NUM
ejpam-5819	423	16	19	19	NUM
ejpam-5819	423	17	of	of	ADP
ejpam-5819	423	18	28	28	NUM
ejpam-5819	423	19	7	7	NUM
ejpam-5819	423	20	.	.	PUNCT
ejpam-5819	424	1	statistical	statistical	ADJ
ejpam-5819	424	2	properties	property	NOUN
ejpam-5819	424	3	this	this	DET
ejpam-5819	424	4	section	section	NOUN
ejpam-5819	424	5	discusses	discuss	VERB
ejpam-5819	424	6	some	some	DET
ejpam-5819	424	7	important	important	ADJ
ejpam-5819	424	8	distributional	distributional	ADJ
ejpam-5819	424	9	properties	property	NOUN
ejpam-5819	424	10	of	of	ADP
ejpam-5819	424	11	the	the	DET
ejpam-5819	424	12	bctb	bctb	NOUN
ejpam-5819	424	13	distribution	distribution	NOUN
ejpam-5819	424	14	and	and	CCONJ
ejpam-5819	424	15	the	the	DET
ejpam-5819	424	16	special	special	ADJ
ejpam-5819	424	17	distributions	distribution	NOUN
ejpam-5819	424	18	obtained	obtain	VERB
ejpam-5819	424	19	from	from	ADP
ejpam-5819	424	20	the	the	DET
ejpam-5819	424	21	proposed	propose	VERB
ejpam-5819	424	22	bctb	bctb	NOUN
ejpam-5819	424	23	distribution	distribution	NOUN
ejpam-5819	424	24	.	.	PUNCT
ejpam-5819	425	1	7.1	7.1	NUM
ejpam-5819	425	2	.	.	PUNCT
ejpam-5819	426	1	the	the	DET
ejpam-5819	426	2	conditional	conditional	ADJ
ejpam-5819	426	3	moments	moment	NOUN
ejpam-5819	426	4	in	in	ADP
ejpam-5819	426	5	the	the	DET
ejpam-5819	426	6	following	follow	VERB
ejpam-5819	426	7	,	,	PUNCT
ejpam-5819	426	8	conditional	conditional	ADJ
ejpam-5819	426	9	moment	moment	NOUN
ejpam-5819	426	10	rth	rth	INTJ
ejpam-5819	426	11	for	for	ADP
ejpam-5819	426	12	the	the	DET
ejpam-5819	426	13	bctb	bctb	NOUN
ejpam-5819	426	14	distribution	distribution	NOUN
ejpam-5819	426	15	is	be	AUX
ejpam-5819	426	16	obtained	obtain	VERB
ejpam-5819	426	17	using	use	VERB
ejpam-5819	426	18	the	the	DET
ejpam-5819	426	19	raw	raw	ADJ
ejpam-5819	426	20	momen	moman	NOUN
ejpam-5819	426	21	rth	rth	PROPN
ejpam-5819	426	22	and	and	CCONJ
ejpam-5819	426	23	the	the	DET
ejpam-5819	426	24	rth	rth	PROPN
ejpam-5819	426	25	moment	moment	NOUN
ejpam-5819	426	26	of	of	ADP
ejpam-5819	426	27	the	the	DET
ejpam-5819	426	28	second	second	ADJ
ejpam-5819	426	29	and	and	CCONJ
ejpam-5819	426	30	third	third	ADJ
ejpam-5819	426	31	order	order	NOUN
ejpam-5819	426	32	statistics	statistic	NOUN
ejpam-5819	426	33	in	in	ADP
ejpam-5819	426	34	a	a	DET
ejpam-5819	426	35	sample	sample	NOUN
ejpam-5819	426	36	of	of	ADP
ejpam-5819	426	37	sizes	size	NOUN
ejpam-5819	426	38	2	2	NUM
ejpam-5819	426	39	and	and	CCONJ
ejpam-5819	426	40	3	3	NUM
ejpam-5819	426	41	for	for	ADP
ejpam-5819	426	42	the	the	DET
ejpam-5819	426	43	burrxii	burrxii	NOUN
ejpam-5819	426	44	distribution	distribution	NOUN
ejpam-5819	426	45	is	be	AUX
ejpam-5819	426	46	given	give	VERB
ejpam-5819	426	47	in	in	ADP
ejpam-5819	426	48	the	the	DET
ejpam-5819	426	49	following	follow	VERB
ejpam-5819	426	50	result	result	NOUN
ejpam-5819	426	51	.	.	PUNCT
ejpam-5819	427	1	result	result	VERB
ejpam-5819	427	2	:	:	PUNCT
ejpam-5819	427	3	for	for	ADP
ejpam-5819	427	4	a	a	DET
ejpam-5819	427	5	fixed	fix	VERB
ejpam-5819	427	6	positive	positive	ADJ
ejpam-5819	427	7	integer	integer	NOUN
ejpam-5819	427	8	r	r	NOUN
ejpam-5819	427	9	rth	rth	ADJ
ejpam-5819	427	10	raw	raw	ADJ
ejpam-5819	427	11	moment	moment	NOUN
ejpam-5819	427	12	of	of	ADP
ejpam-5819	427	13	a	a	DET
ejpam-5819	427	14	burr	burr	NOUN
ejpam-5819	427	15	random	random	ADJ
ejpam-5819	427	16	variable	variable	NOUN
ejpam-5819	427	17	,	,	PUNCT
ejpam-5819	427	18	z	z	PROPN
ejpam-5819	427	19	,	,	PUNCT
ejpam-5819	427	20	with	with	ADP
ejpam-5819	427	21	two	two	NUM
ejpam-5819	427	22	positive	positive	ADJ
ejpam-5819	427	23	shape	shape	NOUN
ejpam-5819	427	24	parameters	parameter	NOUN
ejpam-5819	427	25	,	,	PUNCT
ejpam-5819	427	26	namely	namely	ADV
ejpam-5819	427	27	a	a	DET
ejpam-5819	427	28	,	,	PUNCT
ejpam-5819	427	29	b	b	NOUN
ejpam-5819	427	30	and	and	CCONJ
ejpam-5819	427	31	rth	rth	ADJ
ejpam-5819	427	32	raw	raw	ADJ
ejpam-5819	427	33	moment	moment	NOUN
ejpam-5819	427	34	of	of	ADP
ejpam-5819	427	35	its	its	PRON
ejpam-5819	427	36	second	second	ADJ
ejpam-5819	427	37	-	-	PUNCT
ejpam-5819	427	38	order	order	NOUN
ejpam-5819	427	39	statistics	statistic	NOUN
ejpam-5819	427	40	in	in	ADP
ejpam-5819	427	41	a	a	DET
ejpam-5819	427	42	sample	sample	NOUN
ejpam-5819	427	43	of	of	ADP
ejpam-5819	427	44	size	size	NOUN
ejpam-5819	427	45	2	2	NUM
ejpam-5819	427	46	and	and	CCONJ
ejpam-5819	427	47	3	3	NUM
ejpam-5819	427	48	are	be	AUX
ejpam-5819	427	49	,	,	PUNCT
ejpam-5819	427	50	respectively	respectively	ADV
ejpam-5819	427	51	,	,	PUNCT
ejpam-5819	427	52	given	give	VERB
ejpam-5819	427	53	as	as	ADP
ejpam-5819	427	54	µr	µr	ADP
ejpam-5819	427	55	z	z	NOUN
ejpam-5819	427	56	=	=	SYM
ejpam-5819	427	57	e(zr	e(zr	X
ejpam-5819	427	58	)	)	PUNCT
ejpam-5819	427	59	=	=	VERB
ejpam-5819	428	1	bb(1	bb(1	PROPN
ejpam-5819	428	2	+	+	NOUN
ejpam-5819	428	3	r	r	NOUN
ejpam-5819	428	4	a	a	PRON
ejpam-5819	428	5	,	,	PUNCT
ejpam-5819	428	6	b−	b−	PROPN
ejpam-5819	428	7	r	r	NOUN
ejpam-5819	428	8	a	a	PRON
ejpam-5819	428	9	)	)	PUNCT
ejpam-5819	428	10	,	,	PUNCT
ejpam-5819	428	11	(	(	PUNCT
ejpam-5819	428	12	38	38	NUM
ejpam-5819	428	13	)	)	PUNCT
ejpam-5819	428	14	µr	µr	ADP
ejpam-5819	428	15	z(2:2	z(2:2	NOUN
ejpam-5819	428	16	)	)	PUNCT
ejpam-5819	429	1	=	=	SYM
ejpam-5819	429	2	e(zr	e(zr	X
ejpam-5819	429	3	(	(	PUNCT
ejpam-5819	429	4	2:2	2:2	NUM
ejpam-5819	429	5	)	)	PUNCT
ejpam-5819	429	6	)	)	PUNCT
ejpam-5819	430	1	=	=	PUNCT
ejpam-5819	430	2	2bb(1	2bb(1	NOUN
ejpam-5819	430	3	+	+	CCONJ
ejpam-5819	430	4	r	r	NOUN
ejpam-5819	430	5	a	a	PRON
ejpam-5819	430	6	,	,	PUNCT
ejpam-5819	430	7	b−	b−	PROPN
ejpam-5819	430	8	r	r	NOUN
ejpam-5819	430	9	a	a	PRON
ejpam-5819	430	10	)	)	PUNCT
ejpam-5819	430	11	−	−	PROPN
ejpam-5819	430	12	2bb(1	2bb(1	NOUN
ejpam-5819	430	13	+	+	CCONJ
ejpam-5819	430	14	r	r	NOUN
ejpam-5819	430	15	a	a	DET
ejpam-5819	430	16	,	,	PUNCT
ejpam-5819	430	17	2b−	2b−	NUM
ejpam-5819	430	18	r	r	NOUN
ejpam-5819	430	19	a	a	NOUN
ejpam-5819	430	20	)	)	PUNCT
ejpam-5819	430	21	(	(	PUNCT
ejpam-5819	430	22	39	39	NUM
ejpam-5819	430	23	)	)	PUNCT
ejpam-5819	430	24	,	,	PUNCT
ejpam-5819	430	25	and	and	CCONJ
ejpam-5819	430	26	µr	µr	ADP
ejpam-5819	430	27	z(3:3	z(3:3	NUM
ejpam-5819	430	28	)	)	PUNCT
ejpam-5819	430	29	=	=	SYM
ejpam-5819	430	30	e(zr	e(zr	X
ejpam-5819	430	31	(	(	PUNCT
ejpam-5819	430	32	3:3	3:3	NUM
ejpam-5819	430	33	)	)	PUNCT
ejpam-5819	430	34	)	)	PUNCT
ejpam-5819	431	1	=	=	SYM
ejpam-5819	431	2	6bb(1	6bb(1	NUM
ejpam-5819	431	3	+	+	NOUN
ejpam-5819	431	4	r	r	NOUN
ejpam-5819	431	5	a	a	PRON
ejpam-5819	431	6	,	,	PUNCT
ejpam-5819	431	7	b−	b−	PROPN
ejpam-5819	431	8	r	r	NOUN
ejpam-5819	431	9	a	a	PRON
ejpam-5819	431	10	)	)	PUNCT
ejpam-5819	431	11	−	−	NOUN
ejpam-5819	431	12	12bb(1	12bb(1	NUM
ejpam-5819	432	1	+	+	CCONJ
ejpam-5819	432	2	r	r	NOUN
ejpam-5819	432	3	a	a	PRON
ejpam-5819	432	4	,	,	PUNCT
ejpam-5819	432	5	2b−	2b−	NUM
ejpam-5819	432	6	r	r	NOUN
ejpam-5819	432	7	a	a	NOUN
ejpam-5819	432	8	)	)	PUNCT
ejpam-5819	432	9	+	+	NOUN
ejpam-5819	432	10	6bb(1	6bb(1	NUM
ejpam-5819	432	11	+	+	CCONJ
ejpam-5819	432	12	r	r	NOUN
ejpam-5819	432	13	a	a	PRON
ejpam-5819	432	14	,	,	PUNCT
ejpam-5819	432	15	3b−	3b−	NUM
ejpam-5819	432	16	r	r	NOUN
ejpam-5819	432	17	a	a	NOUN
ejpam-5819	432	18	)	)	PUNCT
ejpam-5819	432	19	,	,	PUNCT
ejpam-5819	432	20	(	(	PUNCT
ejpam-5819	432	21	40	40	NUM
ejpam-5819	432	22	)	)	PUNCT
ejpam-5819	432	23	where	where	SCONJ
ejpam-5819	432	24	b(a	b(a	NOUN
ejpam-5819	432	25	,	,	PUNCT
ejpam-5819	432	26	b	b	X
ejpam-5819	432	27	)	)	PUNCT
ejpam-5819	432	28	=	=	SYM
ejpam-5819	432	29	γ(a)γ(b	γ(a)γ(b	NUM
ejpam-5819	432	30	)	)	PUNCT
ejpam-5819	432	31	γ(a+b	γ(a+b	PUNCT
ejpam-5819	432	32	)	)	PUNCT
ejpam-5819	432	33	is	be	AUX
ejpam-5819	432	34	the	the	DET
ejpam-5819	432	35	complete	complete	ADJ
ejpam-5819	432	36	beta	beta	NOUN
ejpam-5819	432	37	function	function	NOUN
ejpam-5819	432	38	,	,	PUNCT
ejpam-5819	432	39	µr	µr	ADP
ejpam-5819	432	40	z	z	NOUN
ejpam-5819	432	41	represents	represent	VERB
ejpam-5819	432	42	the	the	DET
ejpam-5819	432	43	rth	rth	PROPN
ejpam-5819	432	44	raw	raw	ADJ
ejpam-5819	432	45	moment	moment	NOUN
ejpam-5819	432	46	(	(	PUNCT
ejpam-5819	432	47	also	also	ADV
ejpam-5819	432	48	known	know	VERB
ejpam-5819	432	49	as	as	ADP
ejpam-5819	432	50	the	the	DET
ejpam-5819	432	51	non	non	ADJ
ejpam-5819	432	52	-	-	ADJ
ejpam-5819	432	53	central	central	ADJ
ejpam-5819	432	54	moment	moment	NOUN
ejpam-5819	432	55	)	)	PUNCT
ejpam-5819	432	56	of	of	ADP
ejpam-5819	432	57	the	the	DET
ejpam-5819	432	58	random	random	ADJ
ejpam-5819	432	59	variable	variable	NOUN
ejpam-5819	432	60	z	z	PROPN
ejpam-5819	432	61	,	,	PUNCT
ejpam-5819	432	62	µr	µr	ADP
ejpam-5819	432	63	z(2:2	z(2:2	NOUN
ejpam-5819	432	64	)	)	PUNCT
ejpam-5819	432	65	and	and	CCONJ
ejpam-5819	432	66	µr	µr	ADP
ejpam-5819	432	67	z(3:3	z(3:3	PROPN
ejpam-5819	432	68	)	)	PUNCT
ejpam-5819	432	69	the	the	DET
ejpam-5819	432	70	rth	rth	ADJ
ejpam-5819	432	71	raw	raw	ADJ
ejpam-5819	432	72	moment	moment	NOUN
ejpam-5819	432	73	of	of	ADP
ejpam-5819	432	74	the	the	DET
ejpam-5819	432	75	largest	large	ADJ
ejpam-5819	432	76	order	order	NOUN
ejpam-5819	432	77	statistic	statistic	NOUN
ejpam-5819	432	78	in	in	ADP
ejpam-5819	432	79	a	a	DET
ejpam-5819	432	80	sample	sample	NOUN
ejpam-5819	432	81	of	of	ADP
ejpam-5819	432	82	size	size	NOUN
ejpam-5819	432	83	2	2	NUM
ejpam-5819	432	84	and	and	CCONJ
ejpam-5819	432	85	3	3	NUM
ejpam-5819	432	86	from	from	ADP
ejpam-5819	432	87	the	the	DET
ejpam-5819	432	88	distribution	distribution	NOUN
ejpam-5819	432	89	of	of	ADP
ejpam-5819	432	90	z.	z.	PROPN
ejpam-5819	432	91	the	the	DET
ejpam-5819	432	92	conditional	conditional	ADJ
ejpam-5819	432	93	moment	moment	NOUN
ejpam-5819	432	94	rth	rth	INTJ
ejpam-5819	432	95	for	for	ADP
ejpam-5819	432	96	the	the	DET
ejpam-5819	432	97	bctb	bctb	NOUN
ejpam-5819	432	98	distribution	distribution	NOUN
ejpam-5819	432	99	is	be	AUX
ejpam-5819	432	100	derived	derive	VERB
ejpam-5819	432	101	in	in	ADP
ejpam-5819	432	102	the	the	DET
ejpam-5819	432	103	following	follow	VERB
ejpam-5819	432	104	theorem	theorem	PROPN
ejpam-5819	432	105	.	.	PUNCT
ejpam-5819	432	106	theorem	theorem	NOUN
ejpam-5819	432	107	8	8	NUM
ejpam-5819	432	108	.	.	PUNCT
ejpam-5819	433	1	if	if	SCONJ
ejpam-5819	433	2	random	random	ADJ
ejpam-5819	433	3	variables	variable	NOUN
ejpam-5819	433	4	x	x	PUNCT
ejpam-5819	433	5	and	and	CCONJ
ejpam-5819	433	6	y	y	PROPN
ejpam-5819	433	7	have	have	VERB
ejpam-5819	433	8	joint	joint	ADJ
ejpam-5819	433	9	bctb	bctb	NOUN
ejpam-5819	433	10	distribution	distribution	NOUN
ejpam-5819	433	11	then	then	ADV
ejpam-5819	433	12	the	the	DET
ejpam-5819	433	13	rth	rth	ADJ
ejpam-5819	433	14	conditional	conditional	ADJ
ejpam-5819	433	15	moment	moment	NOUN
ejpam-5819	433	16	of	of	ADP
ejpam-5819	433	17	x	x	PUNCT
ejpam-5819	433	18	given	give	VERB
ejpam-5819	433	19	y	y	PROPN
ejpam-5819	433	20	=	=	PUNCT
ejpam-5819	433	21	y	y	PROPN
ejpam-5819	433	22	is	be	AUX
ejpam-5819	433	23	µr	µr	ADP
ejpam-5819	433	24	x|y	x|y	PUNCT
ejpam-5819	434	1	=	=	SYM
ejpam-5819	434	2	b1	b1	PROPN
ejpam-5819	434	3	φbctb(y	φbctb(y	PROPN
ejpam-5819	434	4	)	)	PUNCT
ejpam-5819	434	5	[	[	PUNCT
ejpam-5819	434	6	a1	a1	PROPN
ejpam-5819	434	7	·	·	SYM
ejpam-5819	434	8	b	b	PROPN
ejpam-5819	434	9	(	(	PUNCT
ejpam-5819	434	10	1	1	NUM
ejpam-5819	434	11	+	+	CCONJ
ejpam-5819	434	12	r	r	NOUN
ejpam-5819	434	13	a1	a1	NOUN
ejpam-5819	434	14	,	,	PUNCT
ejpam-5819	434	15	b1	b1	NOUN
ejpam-5819	434	16	−	−	NOUN
ejpam-5819	434	17	r	r	NOUN
ejpam-5819	434	18	a1	a1	NOUN
ejpam-5819	434	19	)	)	PUNCT
ejpam-5819	435	1	+	+	NOUN
ejpam-5819	435	2	a2	a2	PROPN
ejpam-5819	435	3	·	·	SYM
ejpam-5819	435	4	b	b	PROPN
ejpam-5819	435	5	(	(	PUNCT
ejpam-5819	435	6	1	1	NUM
ejpam-5819	435	7	+	+	CCONJ
ejpam-5819	435	8	r	r	NOUN
ejpam-5819	435	9	a1	a1	NOUN
ejpam-5819	435	10	,	,	PUNCT
ejpam-5819	435	11	2b1	2b1	NUM
ejpam-5819	435	12	−	−	NOUN
ejpam-5819	435	13	r	r	NOUN
ejpam-5819	435	14	a1	a1	NOUN
ejpam-5819	435	15	)	)	PUNCT
ejpam-5819	436	1	+	+	NOUN
ejpam-5819	436	2	a3	a3	NOUN
ejpam-5819	436	3	·	·	SYM
ejpam-5819	436	4	b	b	PROPN
ejpam-5819	436	5	(	(	PUNCT
ejpam-5819	436	6	1	1	NUM
ejpam-5819	436	7	+	+	CCONJ
ejpam-5819	436	8	r	r	NOUN
ejpam-5819	436	9	a1	a1	NOUN
ejpam-5819	436	10	,	,	PUNCT
ejpam-5819	436	11	3b1	3b1	NUM
ejpam-5819	436	12	−	−	NOUN
ejpam-5819	436	13	r	r	NOUN
ejpam-5819	436	14	a1	a1	NOUN
ejpam-5819	436	15	)	)	PUNCT
ejpam-5819	436	16	]	]	PUNCT
ejpam-5819	436	17	,	,	PUNCT
ejpam-5819	436	18	(	(	PUNCT
ejpam-5819	436	19	41	41	NUM
ejpam-5819	436	20	)	)	PUNCT
ejpam-5819	436	21	where	where	SCONJ
ejpam-5819	436	22	:	:	PUNCT
ejpam-5819	436	23	a1	a1	NOUN
ejpam-5819	436	24	=	=	SYM
ejpam-5819	436	25	η	η	PROPN
ejpam-5819	436	26	+	+	PROPN
ejpam-5819	436	27	2(λ4	2(λ4	NUM
ejpam-5819	436	28	−	−	NOUN
ejpam-5819	436	29	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	436	30	3(λ4	3(λ4	PROPN
ejpam-5819	436	31	+	+	NUM
ejpam-5819	436	32	λ5)g	λ5)g	PROPN
ejpam-5819	436	33	2	2	NUM
ejpam-5819	436	34	2(y	2(y	NUM
ejpam-5819	436	35	)	)	PUNCT
ejpam-5819	437	1	+	+	CCONJ
ejpam-5819	437	2	2(λ2	2(λ2	NUM
ejpam-5819	437	3	−	−	NOUN
ejpam-5819	437	4	λ1)−	λ1)−	NOUN
ejpam-5819	437	5	6(λ2	6(λ2	NUM
ejpam-5819	438	1	+	+	CCONJ
ejpam-5819	438	2	λ5	λ5	NOUN
ejpam-5819	438	3	−	−	NOUN
ejpam-5819	438	4	3λ5	3λ5	NUM
ejpam-5819	438	5	g	g	PROPN
ejpam-5819	438	6	2	2	NUM
ejpam-5819	438	7	2(y	2(y	NUM
ejpam-5819	438	8	)	)	PUNCT
ejpam-5819	438	9	)	)	PUNCT
ejpam-5819	438	10	,	,	PUNCT
ejpam-5819	438	11	a2	a2	PROPN
ejpam-5819	438	12	=	=	PUNCT
ejpam-5819	439	1	−2(λ2	−2(λ2	NUM
ejpam-5819	440	1	−	−	NOUN
ejpam-5819	440	2	λ1	λ1	PROPN
ejpam-5819	440	3	)	)	PUNCT
ejpam-5819	440	4	+	+	NUM
ejpam-5819	440	5	12(λ2	12(λ2	NUM
ejpam-5819	441	1	+	+	CCONJ
ejpam-5819	441	2	λ5	λ5	NOUN
ejpam-5819	441	3	−	−	NOUN
ejpam-5819	441	4	3λ5	3λ5	NUM
ejpam-5819	441	5	g	g	PROPN
ejpam-5819	441	6	2	2	NUM
ejpam-5819	441	7	2(y	2(y	NUM
ejpam-5819	441	8	)	)	PUNCT
ejpam-5819	441	9	)	)	PUNCT
ejpam-5819	441	10	,	,	PUNCT
ejpam-5819	441	11	a.	a.	NOUN
ejpam-5819	441	12	a.	a.	PROPN
ejpam-5819	441	13	alsalafi	alsalafi	PROPN
ejpam-5819	441	14	,	,	PUNCT
ejpam-5819	441	15	s.	s.	PROPN
ejpam-5819	441	16	h.	h.	PROPN
ejpam-5819	441	17	shahbaz	shahbaz	PROPN
ejpam-5819	441	18	,	,	PUNCT
ejpam-5819	441	19	l.	l.	PROPN
ejpam-5819	441	20	i.	i.	PROPN
ejpam-5819	441	21	al	al	PROPN
ejpam-5819	441	22	-	-	PUNCT
ejpam-5819	441	23	turk	turk	PROPN
ejpam-5819	441	24	/	/	SYM
ejpam-5819	441	25	eur	eur	PROPN
ejpam-5819	441	26	.	.	PUNCT
ejpam-5819	442	1	j.	j.	PROPN
ejpam-5819	442	2	pure	pure	PROPN
ejpam-5819	442	3	appl	appl	PROPN
ejpam-5819	442	4	.	.	PROPN
ejpam-5819	442	5	math	math	PROPN
ejpam-5819	442	6	,	,	PUNCT
ejpam-5819	442	7	18	18	NUM
ejpam-5819	442	8	(	(	PUNCT
ejpam-5819	442	9	2	2	NUM
ejpam-5819	442	10	)	)	PUNCT
ejpam-5819	442	11	(	(	PUNCT
ejpam-5819	442	12	2025	2025	NUM
ejpam-5819	442	13	)	)	PUNCT
ejpam-5819	442	14	,	,	PUNCT
ejpam-5819	442	15	5819	5819	NUM
ejpam-5819	442	16	20	20	NUM
ejpam-5819	442	17	of	of	ADP
ejpam-5819	442	18	28	28	NUM
ejpam-5819	442	19	a3	a3	NOUN
ejpam-5819	442	20	=	=	PUNCT
ejpam-5819	443	1	−6(λ2	−6(λ2	PUNCT
ejpam-5819	444	1	+	+	CCONJ
ejpam-5819	444	2	λ5	λ5	NOUN
ejpam-5819	444	3	−	−	NOUN
ejpam-5819	444	4	3λ5	3λ5	NUM
ejpam-5819	444	5	g	g	PROPN
ejpam-5819	444	6	2	2	NUM
ejpam-5819	444	7	2(y	2(y	NUM
ejpam-5819	444	8	)	)	PUNCT
ejpam-5819	444	9	)	)	PUNCT
ejpam-5819	444	10	.	.	PUNCT
ejpam-5819	445	1	here	here	ADV
ejpam-5819	445	2	,	,	PUNCT
ejpam-5819	445	3	b	b	X
ejpam-5819	445	4	(	(	PUNCT
ejpam-5819	445	5	·	·	PUNCT
ejpam-5819	445	6	,	,	PUNCT
ejpam-5819	445	7	·	·	PUNCT
ejpam-5819	445	8	)	)	PUNCT
ejpam-5819	445	9	is	be	AUX
ejpam-5819	445	10	the	the	DET
ejpam-5819	445	11	beta	beta	ADJ
ejpam-5819	445	12	function	function	NOUN
ejpam-5819	445	13	and	and	CCONJ
ejpam-5819	445	14	φbctb(y	φbctb(y	ADJ
ejpam-5819	445	15	)	)	PUNCT
ejpam-5819	445	16	=	=	PUNCT
ejpam-5819	445	17	(	(	PUNCT
ejpam-5819	445	18	1	1	NUM
ejpam-5819	445	19	−	−	PROPN
ejpam-5819	445	20	λ3	λ3	PROPN
ejpam-5819	445	21	−	−	PROPN
ejpam-5819	445	22	λ4	λ4	PROPN
ejpam-5819	446	1	+	+	CCONJ
ejpam-5819	446	2	2(2λ4	2(2λ4	NUM
ejpam-5819	447	1	+	+	CCONJ
ejpam-5819	447	2	λ3)(1	λ3)(1	PROPN
ejpam-5819	447	3	+	+	CCONJ
ejpam-5819	447	4	ya2)−b2	ya2)−b2	PROPN
ejpam-5819	447	5	−	−	NOUN
ejpam-5819	447	6	3λ4(1	3λ4(1	NUM
ejpam-5819	447	7	+	+	CCONJ
ejpam-5819	447	8	ya2)−2b2	ya2)−2b2	PROPN
ejpam-5819	447	9	is	be	AUX
ejpam-5819	447	10	the	the	DET
ejpam-5819	447	11	normalization	normalization	NOUN
ejpam-5819	447	12	constant	constant	ADJ
ejpam-5819	447	13	.	.	PUNCT
ejpam-5819	448	1	proof	proof	NOUN
ejpam-5819	448	2	.	.	PUNCT
ejpam-5819	449	1	the	the	DET
ejpam-5819	449	2	rth	rth	PROPN
ejpam-5819	449	3	conditional	conditional	ADJ
ejpam-5819	449	4	moment	moment	NOUN
ejpam-5819	449	5	of	of	ADP
ejpam-5819	449	6	x	x	PUNCT
ejpam-5819	449	7	given	give	VERB
ejpam-5819	449	8	y	y	PROPN
ejpam-5819	449	9	=	=	PUNCT
ejpam-5819	449	10	y	y	PROPN
ejpam-5819	449	11	when	when	SCONJ
ejpam-5819	449	12	x	x	PRON
ejpam-5819	449	13	and	and	CCONJ
ejpam-5819	449	14	y	y	PROPN
ejpam-5819	449	15	have	have	VERB
ejpam-5819	449	16	the	the	DET
ejpam-5819	449	17	bivariate	bivariate	ADJ
ejpam-5819	449	18	cubic	cubic	ADJ
ejpam-5819	449	19	transmuted	transmute	VERB
ejpam-5819	449	20	family	family	NOUN
ejpam-5819	449	21	of	of	ADP
ejpam-5819	449	22	distributions	distribution	NOUN
ejpam-5819	449	23	.	.	PUNCT
ejpam-5819	450	1	are	be	AUX
ejpam-5819	450	2	given	give	VERB
ejpam-5819	450	3	in	in	ADP
ejpam-5819	450	4	(	(	PUNCT
ejpam-5819	450	5	14	14	NUM
ejpam-5819	450	6	)	)	PUNCT
ejpam-5819	450	7	as	as	ADP
ejpam-5819	450	8	µr	µr	ADP
ejpam-5819	450	9	x|y	x|y	PUNCT
ejpam-5819	451	1	=	=	PUNCT
ejpam-5819	451	2	e(xr	e(xr	PROPN
ejpam-5819	451	3	/	/	SYM
ejpam-5819	451	4	y	y	NOUN
ejpam-5819	451	5	)	)	PUNCT
ejpam-5819	451	6	=	=	SYM
ejpam-5819	451	7	1	1	NUM
ejpam-5819	451	8	φ(y	φ(y	NOUN
ejpam-5819	451	9	)	)	PUNCT
ejpam-5819	452	1	[	[	X
ejpam-5819	452	2	(	(	PUNCT
ejpam-5819	452	3	η	η	PROPN
ejpam-5819	452	4	+	+	PROPN
ejpam-5819	452	5	2(λ4	2(λ4	NUM
ejpam-5819	452	6	−	−	NOUN
ejpam-5819	452	7	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	452	8	3(λ4	3(λ4	PROPN
ejpam-5819	452	9	+	+	NUM
ejpam-5819	452	10	λ5)g	λ5)g	PROPN
ejpam-5819	452	11	2	2	NUM
ejpam-5819	452	12	2(y	2(y	NUM
ejpam-5819	452	13	)	)	PUNCT
ejpam-5819	452	14	)	)	PUNCT
ejpam-5819	452	15	µr	µr	ADP
ejpam-5819	452	16	x	x	SYM
ejpam-5819	452	17	+	+	CCONJ
ejpam-5819	452	18	(	(	PUNCT
ejpam-5819	452	19	λ2	λ2	NOUN
ejpam-5819	452	20	−	−	NOUN
ejpam-5819	452	21	λ1)µ	λ1)µ	ADJ
ejpam-5819	452	22	r	r	NOUN
ejpam-5819	452	23	x(2:2	x(2:2	PROPN
ejpam-5819	452	24	)	)	PUNCT
ejpam-5819	452	25	−	−	PROPN
ejpam-5819	453	1	(	(	PUNCT
ejpam-5819	453	2	λ2	λ2	NOUN
ejpam-5819	453	3	+	+	CCONJ
ejpam-5819	453	4	λ5	λ5	NOUN
ejpam-5819	453	5	−	−	NOUN
ejpam-5819	453	6	3λ5	3λ5	NUM
ejpam-5819	453	7	g	g	PROPN
ejpam-5819	453	8	2	2	NUM
ejpam-5819	453	9	2(y	2(y	NUM
ejpam-5819	453	10	)	)	PUNCT
ejpam-5819	453	11	)	)	PUNCT
ejpam-5819	453	12	µr	µr	ADP
ejpam-5819	453	13	x(3:3	x(3:3	ADJ
ejpam-5819	453	14	)	)	PUNCT
ejpam-5819	453	15	]	]	PUNCT
ejpam-5819	453	16	,	,	PUNCT
ejpam-5819	453	17	where	where	SCONJ
ejpam-5819	453	18	φ(y	φ(y	NOUN
ejpam-5819	453	19	)	)	PUNCT
ejpam-5819	453	20	=	=	PUNCT
ejpam-5819	453	21	(	(	PUNCT
ejpam-5819	453	22	1	1	NUM
ejpam-5819	453	23	+	+	CCONJ
ejpam-5819	453	24	λ3	λ3	PROPN
ejpam-5819	453	25	)	)	PUNCT
ejpam-5819	453	26	+	+	CCONJ
ejpam-5819	453	27	2(λ4	2(λ4	NUM
ejpam-5819	453	28	−	−	NOUN
ejpam-5819	453	29	λ3)g2(y)−	λ3)g2(y)−	X
ejpam-5819	453	30	3λ4	3λ4	NUM
ejpam-5819	453	31	g	g	PROPN
ejpam-5819	453	32	2	2	NUM
ejpam-5819	453	33	2(y	2(y	NUM
ejpam-5819	453	34	)	)	PUNCT
ejpam-5819	453	35	,	,	PUNCT
ejpam-5819	453	36	η	η	PROPN
ejpam-5819	453	37	=	=	PROPN
ejpam-5819	453	38	1	1	NUM
ejpam-5819	453	39	+	+	NUM
ejpam-5819	453	40	λ1	λ1	ADJ
ejpam-5819	453	41	+	+	NUM
ejpam-5819	453	42	λ3	λ3	PROPN
ejpam-5819	453	43	+	+	CCONJ
ejpam-5819	453	44	λ5	λ5	NOUN
ejpam-5819	453	45	.	.	PUNCT
ejpam-5819	454	1	now	now	ADV
ejpam-5819	454	2	,	,	PUNCT
ejpam-5819	454	3	for	for	ADP
ejpam-5819	454	4	the	the	DET
ejpam-5819	454	5	bctb	bctb	NOUN
ejpam-5819	454	6	distribution	distribution	NOUN
ejpam-5819	454	7	,	,	PUNCT
ejpam-5819	454	8	the	the	DET
ejpam-5819	454	9	random	random	ADJ
ejpam-5819	454	10	variable	variable	NOUN
ejpam-5819	454	11	x	x	PUNCT
ejpam-5819	454	12	is	be	AUX
ejpam-5819	454	13	burr(a1	burr(a1	NOUN
ejpam-5819	454	14	,	,	PUNCT
ejpam-5819	454	15	b1	b1	NOUN
ejpam-5819	454	16	)	)	PUNCT
ejpam-5819	454	17	and	and	CCONJ
ejpam-5819	454	18	the	the	DET
ejpam-5819	454	19	random	random	ADJ
ejpam-5819	454	20	variable	variable	NOUN
ejpam-5819	454	21	y	y	PROPN
ejpam-5819	454	22	is	be	AUX
ejpam-5819	454	23	burr(a2	burr(a2	ADJ
ejpam-5819	454	24	,	,	PUNCT
ejpam-5819	454	25	b2	b2	NOUN
ejpam-5819	454	26	)	)	PUNCT
ejpam-5819	454	27	hence	hence	ADV
ejpam-5819	454	28	,	,	PUNCT
ejpam-5819	454	29	using	use	VERB
ejpam-5819	454	30	(	(	PUNCT
ejpam-5819	454	31	38	38	NUM
ejpam-5819	454	32	)	)	PUNCT
ejpam-5819	454	33	and	and	CCONJ
ejpam-5819	454	34	(	(	PUNCT
ejpam-5819	454	35	39	39	NUM
ejpam-5819	454	36	)	)	PUNCT
ejpam-5819	454	37	,	,	PUNCT
ejpam-5819	454	38	µr	µr	ADP
ejpam-5819	454	39	x(2:2	x(2:2	PROPN
ejpam-5819	454	40	)	)	PUNCT
ejpam-5819	454	41	,	,	PUNCT
ejpam-5819	454	42	µ	µ	X
ejpam-5819	454	43	r	r	NOUN
ejpam-5819	454	44	x(3:3)the	x(3:3)the	PROPN
ejpam-5819	454	45	rth	rth	PROPN
ejpam-5819	454	46	raw	raw	ADJ
ejpam-5819	454	47	moment	moment	NOUN
ejpam-5819	454	48	of	of	ADP
ejpam-5819	454	49	x	x	PUNCT
ejpam-5819	454	50	and	and	CCONJ
ejpam-5819	454	51	rth	rth	ADJ
ejpam-5819	454	52	raw	raw	ADJ
ejpam-5819	454	53	moment	moment	NOUN
ejpam-5819	454	54	of	of	ADP
ejpam-5819	454	55	larger	large	ADJ
ejpam-5819	454	56	observation	observation	NOUN
ejpam-5819	454	57	in	in	ADP
ejpam-5819	454	58	a	a	DET
ejpam-5819	454	59	sample	sample	NOUN
ejpam-5819	454	60	of	of	ADP
ejpam-5819	454	61	size	size	NOUN
ejpam-5819	454	62	2	2	NUM
ejpam-5819	454	63	and	and	CCONJ
ejpam-5819	454	64	3	3	NUM
ejpam-5819	454	65	for	for	ADP
ejpam-5819	454	66	x	x	SYM
ejpam-5819	454	67	are	be	AUX
ejpam-5819	454	68	,	,	PUNCT
ejpam-5819	454	69	respectively	respectively	ADV
ejpam-5819	454	70	,	,	PUNCT
ejpam-5819	454	71	given	give	VERB
ejpam-5819	454	72	as	as	ADP
ejpam-5819	454	73	µr	µr	ADP
ejpam-5819	454	74	x	x	X
ejpam-5819	454	75	=	=	PUNCT
ejpam-5819	454	76	e(xr	e(xr	PRON
ejpam-5819	454	77	)	)	PUNCT
ejpam-5819	454	78	=	=	VERB
ejpam-5819	455	1	b1b(1	b1b(1	PROPN
ejpam-5819	455	2	+	+	CCONJ
ejpam-5819	455	3	r	r	NOUN
ejpam-5819	455	4	a1	a1	NOUN
ejpam-5819	455	5	,	,	PUNCT
ejpam-5819	455	6	b1	b1	NOUN
ejpam-5819	455	7	−	−	NOUN
ejpam-5819	455	8	r	r	NOUN
ejpam-5819	455	9	a1	a1	NOUN
ejpam-5819	455	10	)	)	PUNCT
ejpam-5819	455	11	(	(	PUNCT
ejpam-5819	455	12	42	42	NUM
ejpam-5819	455	13	)	)	PUNCT
ejpam-5819	455	14	,	,	PUNCT
ejpam-5819	455	15	µr	µr	ADP
ejpam-5819	455	16	x(2:2	x(2:2	NOUN
ejpam-5819	455	17	)	)	PUNCT
ejpam-5819	455	18	=	=	PUNCT
ejpam-5819	455	19	e(xr	e(xr	PROPN
ejpam-5819	455	20	(	(	PUNCT
ejpam-5819	455	21	2:2	2:2	NUM
ejpam-5819	455	22	)	)	PUNCT
ejpam-5819	455	23	)	)	PUNCT
ejpam-5819	455	24	=	=	PUNCT
ejpam-5819	456	1	2b1b(1	2b1b(1	NUM
ejpam-5819	456	2	+	+	CCONJ
ejpam-5819	456	3	r	r	NOUN
ejpam-5819	456	4	a1	a1	NOUN
ejpam-5819	456	5	,	,	PUNCT
ejpam-5819	456	6	b1	b1	NOUN
ejpam-5819	456	7	−	−	NOUN
ejpam-5819	456	8	r	r	NOUN
ejpam-5819	456	9	a1	a1	NOUN
ejpam-5819	456	10	)	)	PUNCT
ejpam-5819	456	11	−	−	PROPN
ejpam-5819	456	12	2b1b(1	2b1b(1	NUM
ejpam-5819	457	1	+	+	CCONJ
ejpam-5819	457	2	r	r	NOUN
ejpam-5819	457	3	a1	a1	NOUN
ejpam-5819	457	4	,	,	PUNCT
ejpam-5819	457	5	2b1	2b1	NUM
ejpam-5819	457	6	−	−	NOUN
ejpam-5819	457	7	r	r	NOUN
ejpam-5819	457	8	a1	a1	NOUN
ejpam-5819	457	9	)	)	PUNCT
ejpam-5819	457	10	(	(	PUNCT
ejpam-5819	457	11	43	43	NUM
ejpam-5819	457	12	)	)	PUNCT
ejpam-5819	457	13	and	and	CCONJ
ejpam-5819	457	14	µr	µr	ADP
ejpam-5819	457	15	x(3:3	x(3:3	ADJ
ejpam-5819	457	16	)	)	PUNCT
ejpam-5819	457	17	=	=	PUNCT
ejpam-5819	457	18	e(xr	e(xr	PROPN
ejpam-5819	457	19	(	(	PUNCT
ejpam-5819	457	20	3:3	3:3	NUM
ejpam-5819	457	21	)	)	PUNCT
ejpam-5819	457	22	)	)	PUNCT
ejpam-5819	458	1	=	=	PUNCT
ejpam-5819	459	1	6b1b(1	6b1b(1	NUM
ejpam-5819	459	2	+	+	CCONJ
ejpam-5819	459	3	r	r	NOUN
ejpam-5819	459	4	a1	a1	NOUN
ejpam-5819	459	5	,	,	PUNCT
ejpam-5819	459	6	b1	b1	NOUN
ejpam-5819	459	7	−	−	NOUN
ejpam-5819	459	8	r	r	NOUN
ejpam-5819	459	9	a1	a1	NOUN
ejpam-5819	459	10	)	)	PUNCT
ejpam-5819	459	11	−	−	PROPN
ejpam-5819	459	12	12b1b(1	12b1b(1	NUM
ejpam-5819	460	1	+	+	CCONJ
ejpam-5819	460	2	r	r	NOUN
ejpam-5819	460	3	a1	a1	NOUN
ejpam-5819	460	4	,	,	PUNCT
ejpam-5819	460	5	2b1	2b1	NUM
ejpam-5819	460	6	−	−	NOUN
ejpam-5819	460	7	r	r	NOUN
ejpam-5819	460	8	a1	a1	NOUN
ejpam-5819	460	9	)	)	PUNCT
ejpam-5819	460	10	+	+	CCONJ
ejpam-5819	461	1	6b1b(1	6b1b(1	NUM
ejpam-5819	461	2	+	+	SYM
ejpam-5819	461	3	r	r	NOUN
ejpam-5819	461	4	a1	a1	NOUN
ejpam-5819	461	5	,	,	PUNCT
ejpam-5819	461	6	3b1	3b1	NUM
ejpam-5819	461	7	−	−	NOUN
ejpam-5819	461	8	r	r	NOUN
ejpam-5819	461	9	a1	a1	NOUN
ejpam-5819	461	10	)	)	PUNCT
ejpam-5819	461	11	.	.	PUNCT
ejpam-5819	462	1	(	(	PUNCT
ejpam-5819	462	2	44	44	NUM
ejpam-5819	462	3	)	)	PUNCT
ejpam-5819	462	4	furthermore	furthermore	ADV
ejpam-5819	462	5	,	,	PUNCT
ejpam-5819	462	6	g2(y	g2(y	NOUN
ejpam-5819	462	7	)	)	PUNCT
ejpam-5819	462	8	is	be	AUX
ejpam-5819	462	9	given	give	VERB
ejpam-5819	462	10	in	in	ADP
ejpam-5819	462	11	(	(	PUNCT
ejpam-5819	462	12	31	31	NUM
ejpam-5819	462	13	)	)	PUNCT
ejpam-5819	462	14	and	and	CCONJ
ejpam-5819	462	15	hence	hence	ADV
ejpam-5819	462	16	φbctb(y	φbctb(y	VERB
ejpam-5819	462	17	)	)	PUNCT
ejpam-5819	462	18	=	=	SYM
ejpam-5819	462	19	(	(	PUNCT
ejpam-5819	463	1	1−λ3−λ4	1−λ3−λ4	NUM
ejpam-5819	463	2	+	+	NOUN
ejpam-5819	463	3	2(2λ4+λ3)(1	2(2λ4+λ3)(1	NOUN
ejpam-5819	463	4	+	+	SYM
ejpam-5819	463	5	ya2)−b2	ya2)−b2	NUM
ejpam-5819	463	6	−	−	NOUN
ejpam-5819	463	7	3λ4(1	3λ4(1	NUM
ejpam-5819	463	8	+	+	CCONJ
ejpam-5819	463	9	ya2)−2b2	ya2)−2b2	NOUN
ejpam-5819	463	10	.	.	PUNCT
ejpam-5819	464	1	using	use	VERB
ejpam-5819	464	2	(	(	PUNCT
ejpam-5819	464	3	31	31	NUM
ejpam-5819	464	4	)	)	PUNCT
ejpam-5819	464	5	,	,	PUNCT
ejpam-5819	464	6	(	(	PUNCT
ejpam-5819	464	7	42),(43	42),(43	NOUN
ejpam-5819	464	8	)	)	PUNCT
ejpam-5819	464	9	and	and	CCONJ
ejpam-5819	464	10	(	(	PUNCT
ejpam-5819	464	11	44	44	NUM
ejpam-5819	464	12	)	)	PUNCT
ejpam-5819	464	13	in	in	ADP
ejpam-5819	464	14	(	(	PUNCT
ejpam-5819	464	15	14	14	NUM
ejpam-5819	464	16	)	)	PUNCT
ejpam-5819	464	17	,	,	PUNCT
ejpam-5819	464	18	the	the	DET
ejpam-5819	464	19	conditional	conditional	ADJ
ejpam-5819	464	20	moment	moment	NOUN
ejpam-5819	464	21	rth	rth	INTJ
ejpam-5819	464	22	of	of	ADP
ejpam-5819	464	23	the	the	DET
ejpam-5819	464	24	random	random	ADJ
ejpam-5819	464	25	variable	variable	NOUN
ejpam-5819	464	26	x	x	PUNCT
ejpam-5819	464	27	given	give	VERB
ejpam-5819	464	28	y	y	PROPN
ejpam-5819	464	29	=	=	PUNCT
ejpam-5819	464	30	y	y	PROPN
ejpam-5819	464	31	for	for	ADP
ejpam-5819	464	32	the	the	DET
ejpam-5819	464	33	bctb	bctb	NOUN
ejpam-5819	464	34	distribution	distribution	NOUN
ejpam-5819	464	35	and	and	CCONJ
ejpam-5819	464	36	for	for	ADP
ejpam-5819	464	37	simplification	simplification	NOUN
ejpam-5819	464	38	becomes	become	VERB
ejpam-5819	464	39	(	(	PUNCT
ejpam-5819	464	40	41	41	NUM
ejpam-5819	464	41	)	)	PUNCT
ejpam-5819	464	42	and	and	CCONJ
ejpam-5819	464	43	hence	hence	ADV
ejpam-5819	464	44	the	the	DET
ejpam-5819	464	45	proof	proof	NOUN
ejpam-5819	464	46	is	be	AUX
ejpam-5819	464	47	complete	complete	ADJ
ejpam-5819	464	48	.	.	PUNCT
ejpam-5819	465	1	7.2	7.2	NUM
ejpam-5819	465	2	.	.	PUNCT
ejpam-5819	466	1	random	random	ADJ
ejpam-5819	466	2	number	number	NOUN
ejpam-5819	466	3	generation	generation	NOUN
ejpam-5819	466	4	the	the	DET
ejpam-5819	466	5	random	random	ADJ
ejpam-5819	466	6	sample	sample	NOUN
ejpam-5819	466	7	from	from	ADP
ejpam-5819	466	8	the	the	DET
ejpam-5819	466	9	bctb	bctb	NOUN
ejpam-5819	466	10	distribution	distribution	NOUN
ejpam-5819	466	11	is	be	AUX
ejpam-5819	466	12	generated	generate	VERB
ejpam-5819	466	13	using	use	VERB
ejpam-5819	466	14	the	the	DET
ejpam-5819	466	15	following	follow	VERB
ejpam-5819	466	16	two	two	NUM
ejpam-5819	466	17	steps	step	NOUN
ejpam-5819	466	18	.	.	PUNCT
ejpam-5819	467	1	step	step	NOUN
ejpam-5819	467	2	1	1	NUM
ejpam-5819	467	3	:	:	PUNCT
ejpam-5819	467	4	using	use	VERB
ejpam-5819	467	5	the	the	DET
ejpam-5819	467	6	inverse	inverse	NOUN
ejpam-5819	467	7	of	of	ADP
ejpam-5819	467	8	distribution	distribution	NOUN
ejpam-5819	467	9	function	function	NOUN
ejpam-5819	467	10	of	of	ADP
ejpam-5819	467	11	burr	burr	NOUN
ejpam-5819	467	12	distribution	distribution	NOUN
ejpam-5819	467	13	(	(	PUNCT
ejpam-5819	467	14	30	30	NUM
ejpam-5819	467	15	)	)	PUNCT
ejpam-5819	467	16	in	in	ADP
ejpam-5819	467	17	(	(	PUNCT
ejpam-5819	467	18	18	18	NUM
ejpam-5819	467	19	)	)	PUNCT
ejpam-5819	467	20	,	,	PUNCT
ejpam-5819	467	21	the	the	DET
ejpam-5819	467	22	random	random	ADJ
ejpam-5819	467	23	observation	observation	NOUN
ejpam-5819	467	24	for	for	ADP
ejpam-5819	467	25	x	x	SYM
ejpam-5819	467	26	is	be	AUX
ejpam-5819	467	27	obtained	obtain	VERB
ejpam-5819	467	28	as	as	ADP
ejpam-5819	467	29	x	x	X
ejpam-5819	467	30	=	=	SYM
ejpam-5819	468	1	[	[	X
ejpam-5819	468	2	(	(	PUNCT
ejpam-5819	468	3	1−	1−	NUM
ejpam-5819	468	4	u1	u1	NOUN
ejpam-5819	468	5	)	)	PUNCT
ejpam-5819	468	6	−	−	PROPN
ejpam-5819	468	7	1	1	NUM
ejpam-5819	468	8	b1	b1	NOUN
ejpam-5819	468	9	−	−	NOUN
ejpam-5819	468	10	1	1	NUM
ejpam-5819	468	11	]	]	SYM
ejpam-5819	468	12	1	1	NUM
ejpam-5819	468	13	a1	a1	NOUN
ejpam-5819	468	14	,	,	PUNCT
ejpam-5819	468	15	(	(	PUNCT
ejpam-5819	468	16	45	45	NUM
ejpam-5819	468	17	)	)	PUNCT
ejpam-5819	468	18	a.	a.	NOUN
ejpam-5819	468	19	a.	a.	NOUN
ejpam-5819	468	20	alsalafi	alsalafi	PROPN
ejpam-5819	468	21	,	,	PUNCT
ejpam-5819	468	22	s.	s.	PROPN
ejpam-5819	468	23	h.	h.	PROPN
ejpam-5819	468	24	shahbaz	shahbaz	PROPN
ejpam-5819	468	25	,	,	PUNCT
ejpam-5819	468	26	l.	l.	PROPN
ejpam-5819	468	27	i.	i.	PROPN
ejpam-5819	468	28	al	al	PROPN
ejpam-5819	468	29	-	-	PUNCT
ejpam-5819	468	30	turk	turk	PROPN
ejpam-5819	468	31	/	/	SYM
ejpam-5819	468	32	eur	eur	PROPN
ejpam-5819	468	33	.	.	PUNCT
ejpam-5819	469	1	j.	j.	PROPN
ejpam-5819	469	2	pure	pure	PROPN
ejpam-5819	469	3	appl	appl	PROPN
ejpam-5819	469	4	.	.	PROPN
ejpam-5819	469	5	math	math	PROPN
ejpam-5819	469	6	,	,	PUNCT
ejpam-5819	469	7	18	18	NUM
ejpam-5819	469	8	(	(	PUNCT
ejpam-5819	469	9	2	2	NUM
ejpam-5819	469	10	)	)	PUNCT
ejpam-5819	469	11	(	(	PUNCT
ejpam-5819	469	12	2025	2025	NUM
ejpam-5819	469	13	)	)	PUNCT
ejpam-5819	469	14	,	,	PUNCT
ejpam-5819	469	15	5819	5819	NUM
ejpam-5819	469	16	21	21	NUM
ejpam-5819	469	17	of	of	ADP
ejpam-5819	469	18	28	28	NUM
ejpam-5819	469	19	where	where	SCONJ
ejpam-5819	469	20	u1	u1	NOUN
ejpam-5819	469	21	=	=	SYM
ejpam-5819	469	22	−	−	PROPN
ejpam-5819	469	23	t2	t2	NOUN
ejpam-5819	469	24	3t1	3t1	NUM
ejpam-5819	469	25	−	−	NUM
ejpam-5819	469	26	2	2	NUM
ejpam-5819	469	27	1	1	NUM
ejpam-5819	469	28	3	3	NUM
ejpam-5819	469	29	ζ1	ζ1	NOUN
ejpam-5819	469	30	3t1ζ	3t1ζ	NOUN
ejpam-5819	469	31	1	1	NUM
ejpam-5819	469	32	3	3	NUM
ejpam-5819	469	33	3	3	NUM
ejpam-5819	469	34	+	+	CCONJ
ejpam-5819	469	35	ζ	ζ	SYM
ejpam-5819	469	36	1	1	NUM
ejpam-5819	469	37	3	3	NUM
ejpam-5819	469	38	3	3	NUM
ejpam-5819	469	39	3×	3×	NUM
ejpam-5819	469	40	2	2	NUM
ejpam-5819	469	41	1	1	NUM
ejpam-5819	469	42	3	3	NUM
ejpam-5819	469	43	t1	t1	NOUN
ejpam-5819	469	44	,	,	PUNCT
ejpam-5819	469	45	where	where	SCONJ
ejpam-5819	469	46	t1	t1	NOUN
ejpam-5819	469	47	=	=	SYM
ejpam-5819	469	48	λ2	λ2	PROPN
ejpam-5819	469	49	,	,	PUNCT
ejpam-5819	469	50	t2	t2	NOUN
ejpam-5819	469	51	=	=	SYM
ejpam-5819	469	52	−δ2	−δ2	PROPN
ejpam-5819	469	53	,	,	PUNCT
ejpam-5819	469	54	t3	t3	PROPN
ejpam-5819	469	55	=	=	SYM
ejpam-5819	469	56	−δ1	−δ1	PROPN
ejpam-5819	469	57	and	and	CCONJ
ejpam-5819	469	58	ζ1	ζ1	NOUN
ejpam-5819	469	59	,	,	PUNCT
ejpam-5819	469	60	ζ2	ζ2	NOUN
ejpam-5819	469	61	,	,	PUNCT
ejpam-5819	469	62	ζ3	ζ3	NOUN
ejpam-5819	469	63	,	,	PUNCT
ejpam-5819	469	64	δ1	δ1	NOUN
ejpam-5819	469	65	,	,	PUNCT
ejpam-5819	469	66	δ2	δ2	PROPN
ejpam-5819	469	67	are	be	AUX
ejpam-5819	469	68	defined	define	VERB
ejpam-5819	469	69	earlier	early	ADV
ejpam-5819	469	70	.	.	PUNCT
ejpam-5819	470	1	random	random	ADJ
ejpam-5819	470	2	sample	sample	NOUN
ejpam-5819	470	3	x	x	PUNCT
ejpam-5819	470	4	of	of	ADP
ejpam-5819	470	5	the	the	DET
ejpam-5819	470	6	bctb	bctb	NOUN
ejpam-5819	470	7	distribution	distribution	NOUN
ejpam-5819	470	8	can	can	AUX
ejpam-5819	470	9	be	be	AUX
ejpam-5819	470	10	generated	generate	VERB
ejpam-5819	470	11	using	use	VERB
ejpam-5819	470	12	(	(	PUNCT
ejpam-5819	470	13	45	45	NUM
ejpam-5819	470	14	)	)	PUNCT
ejpam-5819	470	15	for	for	ADP
ejpam-5819	470	16	various	various	ADJ
ejpam-5819	470	17	parameters	parameter	NOUN
ejpam-5819	470	18	choices	choice	NOUN
ejpam-5819	470	19	a1	a1	NOUN
ejpam-5819	470	20	,	,	PUNCT
ejpam-5819	470	21	b1	b1	NOUN
ejpam-5819	470	22	,	,	PUNCT
ejpam-5819	470	23	λ1	λ1	ADJ
ejpam-5819	470	24	,	,	PUNCT
ejpam-5819	470	25	and	and	CCONJ
ejpam-5819	470	26	λ2	λ2	NOUN
ejpam-5819	470	27	.	.	PUNCT
ejpam-5819	471	1	step	step	NOUN
ejpam-5819	471	2	2	2	NUM
ejpam-5819	471	3	:	:	PUNCT
ejpam-5819	471	4	using	use	VERB
ejpam-5819	471	5	the	the	DET
ejpam-5819	471	6	inverse	inverse	ADJ
ejpam-5819	471	7	distribution	distribution	NOUN
ejpam-5819	471	8	function	function	NOUN
ejpam-5819	471	9	of	of	ADP
ejpam-5819	471	10	burr	burr	NOUN
ejpam-5819	471	11	distributions	distribution	NOUN
ejpam-5819	471	12	(	(	PUNCT
ejpam-5819	471	13	31	31	NUM
ejpam-5819	471	14	)	)	PUNCT
ejpam-5819	471	15	in	in	ADP
ejpam-5819	471	16	(	(	PUNCT
ejpam-5819	471	17	20	20	NUM
ejpam-5819	471	18	)	)	PUNCT
ejpam-5819	471	19	,	,	PUNCT
ejpam-5819	471	20	the	the	DET
ejpam-5819	471	21	random	random	ADJ
ejpam-5819	471	22	observation	observation	NOUN
ejpam-5819	471	23	of	of	ADP
ejpam-5819	471	24	y	y	PROPN
ejpam-5819	471	25	from	from	ADP
ejpam-5819	471	26	the	the	DET
ejpam-5819	471	27	bivariate	bivariate	ADJ
ejpam-5819	471	28	transmuted	transmute	VERB
ejpam-5819	471	29	burr	burr	NOUN
ejpam-5819	471	30	distribution	distribution	NOUN
ejpam-5819	471	31	is	be	AUX
ejpam-5819	471	32	generated	generate	VERB
ejpam-5819	471	33	as	as	ADP
ejpam-5819	471	34	y	y	PROPN
ejpam-5819	471	35	=	=	PUNCT
ejpam-5819	472	1	[	[	X
ejpam-5819	472	2	(	(	PUNCT
ejpam-5819	472	3	1−	1−	NUM
ejpam-5819	472	4	u2	u2	NOUN
ejpam-5819	472	5	)	)	PUNCT
ejpam-5819	472	6	−	−	PROPN
ejpam-5819	472	7	1	1	NUM
ejpam-5819	472	8	b2	b2	NOUN
ejpam-5819	472	9	−	−	NOUN
ejpam-5819	472	10	1	1	NUM
ejpam-5819	472	11	]	]	SYM
ejpam-5819	472	12	1	1	NUM
ejpam-5819	472	13	a2	a2	NOUN
ejpam-5819	472	14	,	,	PUNCT
ejpam-5819	472	15	(	(	PUNCT
ejpam-5819	472	16	46	46	NUM
ejpam-5819	472	17	)	)	PUNCT
ejpam-5819	472	18	where	where	SCONJ
ejpam-5819	472	19	u2	u2	NOUN
ejpam-5819	472	20	=	=	PUNCT
ejpam-5819	472	21	−	−	PROPN
ejpam-5819	472	22	r2	r2	PROPN
ejpam-5819	472	23	3r1	3r1	NUM
ejpam-5819	472	24	−	−	NOUN
ejpam-5819	472	25	2	2	NUM
ejpam-5819	472	26	1	1	NUM
ejpam-5819	472	27	3ϖ1	3ϖ1	NUM
ejpam-5819	472	28	3r1ϖ	3r1ϖ	NOUN
ejpam-5819	472	29	1	1	NUM
ejpam-5819	472	30	3	3	NUM
ejpam-5819	472	31	3	3	NUM
ejpam-5819	472	32	+	+	CCONJ
ejpam-5819	472	33	ϖ	ϖ	SYM
ejpam-5819	472	34	1	1	NUM
ejpam-5819	472	35	3	3	NUM
ejpam-5819	472	36	3	3	NUM
ejpam-5819	472	37	3×	3×	NUM
ejpam-5819	472	38	2	2	NUM
ejpam-5819	472	39	1	1	NUM
ejpam-5819	472	40	3	3	NUM
ejpam-5819	472	41	r1	r1	NOUN
ejpam-5819	472	42	,	,	PUNCT
ejpam-5819	472	43	where	where	SCONJ
ejpam-5819	472	44	r1	r1	PROPN
ejpam-5819	472	45	,	,	PUNCT
ejpam-5819	472	46	and	and	CCONJ
ejpam-5819	472	47	r2	r2	PROPN
ejpam-5819	472	48	,	,	PUNCT
ejpam-5819	472	49	ϖ1	ϖ1	PROPN
ejpam-5819	472	50	,	,	PUNCT
ejpam-5819	472	51	ϖ3	ϖ3	NOUN
ejpam-5819	472	52	are	be	AUX
ejpam-5819	472	53	defined	define	VERB
ejpam-5819	472	54	earlier	early	ADV
ejpam-5819	472	55	.	.	PUNCT
ejpam-5819	473	1	the	the	DET
ejpam-5819	473	2	random	random	ADJ
ejpam-5819	473	3	sample	sample	NOUN
ejpam-5819	473	4	for	for	ADP
ejpam-5819	473	5	y	y	PROPN
ejpam-5819	473	6	from	from	ADP
ejpam-5819	473	7	the	the	DET
ejpam-5819	473	8	bctb	bctb	NOUN
ejpam-5819	473	9	distribution	distribution	NOUN
ejpam-5819	473	10	can	can	AUX
ejpam-5819	473	11	be	be	AUX
ejpam-5819	473	12	obtained	obtain	VERB
ejpam-5819	473	13	using	use	VERB
ejpam-5819	473	14	(	(	PUNCT
ejpam-5819	473	15	46	46	NUM
ejpam-5819	473	16	)	)	PUNCT
ejpam-5819	473	17	.	.	PUNCT
ejpam-5819	474	1	8	8	X
ejpam-5819	474	2	.	.	X
ejpam-5819	474	3	estimation	estimation	NOUN
ejpam-5819	474	4	of	of	ADP
ejpam-5819	474	5	parameters	parameter	NOUN
ejpam-5819	474	6	let	let	VERB
ejpam-5819	474	7	x1	x1	NUM
ejpam-5819	474	8	,	,	PUNCT
ejpam-5819	474	9	x2	x2	PROPN
ejpam-5819	474	10	,	,	PUNCT
ejpam-5819	474	11	,	,	PUNCT
ejpam-5819	474	12	xn	xn	PROPN
ejpam-5819	474	13	be	be	AUX
ejpam-5819	474	14	a	a	DET
ejpam-5819	474	15	random	random	ADJ
ejpam-5819	474	16	sample	sample	NOUN
ejpam-5819	474	17	of	of	ADP
ejpam-5819	474	18	size	size	NOUN
ejpam-5819	474	19	n	n	AUX
ejpam-5819	474	20	be	be	AUX
ejpam-5819	474	21	taken	take	VERB
ejpam-5819	474	22	from	from	ADP
ejpam-5819	474	23	the	the	DET
ejpam-5819	474	24	joint	joint	ADJ
ejpam-5819	474	25	density	density	NOUN
ejpam-5819	474	26	function	function	NOUN
ejpam-5819	474	27	of	of	ADP
ejpam-5819	474	28	the	the	DET
ejpam-5819	474	29	bctb	bctb	NOUN
ejpam-5819	474	30	distribution	distribution	NOUN
ejpam-5819	474	31	in	in	ADP
ejpam-5819	474	32	(	(	PUNCT
ejpam-5819	474	33	35	35	NUM
ejpam-5819	474	34	)	)	PUNCT
ejpam-5819	474	35	,	,	PUNCT
ejpam-5819	474	36	then	then	ADV
ejpam-5819	474	37	the	the	DET
ejpam-5819	474	38	corresponding	corresponding	ADJ
ejpam-5819	474	39	log	log	NOUN
ejpam-5819	474	40	-	-	PUNCT
ejpam-5819	474	41	likelihood	likelihood	NOUN
ejpam-5819	474	42	function	function	NOUN
ejpam-5819	474	43	for	for	ADP
ejpam-5819	474	44	bctb	bctb	NOUN
ejpam-5819	474	45	distribution	distribution	NOUN
ejpam-5819	474	46	can	can	AUX
ejpam-5819	474	47	be	be	AUX
ejpam-5819	474	48	written	write	VERB
ejpam-5819	474	49	as	as	ADP
ejpam-5819	474	50	:	:	PUNCT
ejpam-5819	474	51	ℓ	ℓ	X
ejpam-5819	474	52	=	=	PUNCT
ejpam-5819	474	53	n	n	PROPN
ejpam-5819	474	54	·	·	PUNCT
ejpam-5819	474	55	log(a1	log(a1	X
ejpam-5819	474	56	)	)	PUNCT
ejpam-5819	474	57	+	+	CCONJ
ejpam-5819	474	58	n	n	CCONJ
ejpam-5819	474	59	·	·	PUNCT
ejpam-5819	474	60	log(a2	log(a2	NOUN
ejpam-5819	474	61	)	)	PUNCT
ejpam-5819	474	62	+	+	CCONJ
ejpam-5819	474	63	n	n	CCONJ
ejpam-5819	474	64	·	·	PUNCT
ejpam-5819	474	65	log(b1	log(b1	X
ejpam-5819	474	66	)	)	PUNCT
ejpam-5819	474	67	+	+	CCONJ
ejpam-5819	474	68	n	n	CCONJ
ejpam-5819	474	69	·	·	PUNCT
ejpam-5819	474	70	log(b2	log(b2	NOUN
ejpam-5819	474	71	)	)	PUNCT
ejpam-5819	475	1	+	+	CCONJ
ejpam-5819	475	2	(	(	PUNCT
ejpam-5819	475	3	a1	a1	NOUN
ejpam-5819	475	4	−	−	NOUN
ejpam-5819	475	5	1	1	NUM
ejpam-5819	475	6	)	)	PUNCT
ejpam-5819	475	7	n∑	n∑	NOUN
ejpam-5819	476	1	i=1	i=1	PROPN
ejpam-5819	476	2	log(xi	log(xi	X
ejpam-5819	476	3	)	)	PUNCT
ejpam-5819	477	1	+	+	CCONJ
ejpam-5819	477	2	(	(	PUNCT
ejpam-5819	477	3	a2	a2	PROPN
ejpam-5819	477	4	−	−	NOUN
ejpam-5819	477	5	1	1	NUM
ejpam-5819	477	6	)	)	PUNCT
ejpam-5819	477	7	n∑	n∑	NOUN
ejpam-5819	477	8	i=1	i=1	PROPN
ejpam-5819	478	1	log(yi)−	log(yi)−	PROPN
ejpam-5819	478	2	(	(	PUNCT
ejpam-5819	478	3	b1	b1	NOUN
ejpam-5819	478	4	+	+	CCONJ
ejpam-5819	478	5	1	1	NUM
ejpam-5819	478	6	)	)	PUNCT
ejpam-5819	478	7	n∑	n∑	NOUN
ejpam-5819	479	1	i=1	i=1	PROPN
ejpam-5819	479	2	log(1	log(1	NOUN
ejpam-5819	480	1	+	+	CCONJ
ejpam-5819	480	2	xa1i	xa1i	PROPN
ejpam-5819	480	3	)	)	PUNCT
ejpam-5819	480	4	−	−	PROPN
ejpam-5819	480	5	(	(	PUNCT
ejpam-5819	480	6	b2	b2	NOUN
ejpam-5819	480	7	+	+	CCONJ
ejpam-5819	480	8	1	1	NUM
ejpam-5819	480	9	)	)	PUNCT
ejpam-5819	480	10	n∑	n∑	NOUN
ejpam-5819	480	11	i=1	i=1	PROPN
ejpam-5819	480	12	log(1	log(1	NOUN
ejpam-5819	481	1	+	+	CCONJ
ejpam-5819	481	2	ya2i	ya2i	NOUN
ejpam-5819	481	3	)	)	PUNCT
ejpam-5819	482	1	+	+	CCONJ
ejpam-5819	482	2	n∑	n∑	X
ejpam-5819	482	3	i=1	i=1	PROPN
ejpam-5819	482	4	log	log	NOUN
ejpam-5819	482	5	[	[	PUNCT
ejpam-5819	482	6	1	1	NUM
ejpam-5819	482	7	+	+	NUM
ejpam-5819	482	8	λ1	λ1	ADJ
ejpam-5819	482	9	+	+	NUM
ejpam-5819	482	10	λ3	λ3	PROPN
ejpam-5819	482	11	+	+	NOUN
ejpam-5819	482	12	λ5	λ5	NOUN
ejpam-5819	482	13	+	+	CCONJ
ejpam-5819	482	14	2(λ2	2(λ2	NUM
ejpam-5819	482	15	−	−	NOUN
ejpam-5819	482	16	λ1)txi	λ1)txi	NOUN
ejpam-5819	482	17	−	−	PROPN
ejpam-5819	482	18	3(λ2	3(λ2	NUM
ejpam-5819	483	1	+	+	CCONJ
ejpam-5819	483	2	λ5)tx	λ5)tx	NOUN
ejpam-5819	483	3	2	2	NUM
ejpam-5819	484	1	i	i	PRON
ejpam-5819	484	2	−	−	PROPN
ejpam-5819	484	3	2(λ3	2(λ3	NUM
ejpam-5819	485	1	−	−	NOUN
ejpam-5819	486	1	λ4)tyi	λ4)tyi	NOUN
ejpam-5819	486	2	−	−	PROPN
ejpam-5819	486	3	3(λ4	3(λ4	PROPN
ejpam-5819	487	1	+	+	NUM
ejpam-5819	487	2	λ5)ty	λ5)ty	PROPN
ejpam-5819	487	3	2	2	NUM
ejpam-5819	488	1	i	i	NOUN
ejpam-5819	488	2	+	+	CCONJ
ejpam-5819	488	3	9λ5tx	9λ5tx	NUM
ejpam-5819	488	4	2	2	NUM
ejpam-5819	488	5	ity	ity	PROPN
ejpam-5819	488	6	2	2	NUM
ejpam-5819	488	7	i	i	NOUN
ejpam-5819	488	8	]	]	PUNCT
ejpam-5819	488	9	.	.	PUNCT
ejpam-5819	489	1	(	(	PUNCT
ejpam-5819	489	2	47	47	NUM
ejpam-5819	489	3	)	)	PUNCT
ejpam-5819	489	4	the	the	DET
ejpam-5819	489	5	mle	mle	NOUN
ejpam-5819	489	6	of	of	ADP
ejpam-5819	489	7	a1	a1	PROPN
ejpam-5819	489	8	,	,	PUNCT
ejpam-5819	489	9	a2	a2	PROPN
ejpam-5819	489	10	,	,	PUNCT
ejpam-5819	489	11	b1	b1	NOUN
ejpam-5819	489	12	,	,	PUNCT
ejpam-5819	489	13	b2	b2	NOUN
ejpam-5819	489	14	,	,	PUNCT
ejpam-5819	489	15	λ1	λ1	ADJ
ejpam-5819	489	16	,	,	PUNCT
ejpam-5819	489	17	λ2	λ2	PROPN
ejpam-5819	489	18	,	,	PUNCT
ejpam-5819	489	19	λ3	λ3	PROPN
ejpam-5819	489	20	,	,	PUNCT
ejpam-5819	489	21	λ4and	λ4and	PROPN
ejpam-5819	489	22	λ5	λ5	NOUN
ejpam-5819	489	23	are	be	AUX
ejpam-5819	489	24	obtained	obtain	VERB
ejpam-5819	489	25	by	by	ADP
ejpam-5819	489	26	maximizing	maximize	VERB
ejpam-5819	489	27	the	the	DET
ejpam-5819	489	28	log	log	NOUN
ejpam-5819	489	29	likelihood	likelihood	NOUN
ejpam-5819	489	30	function	function	NOUN
ejpam-5819	489	31	(	(	PUNCT
ejpam-5819	489	32	47	47	NUM
ejpam-5819	489	33	)	)	PUNCT
ejpam-5819	489	34	.	.	PUNCT
ejpam-5819	490	1	the	the	DET
ejpam-5819	490	2	derivatives	derivative	NOUN
ejpam-5819	490	3	of	of	ADP
ejpam-5819	490	4	(	(	PUNCT
ejpam-5819	490	5	47	47	NUM
ejpam-5819	490	6	)	)	PUNCT
ejpam-5819	490	7	with	with	ADP
ejpam-5819	490	8	respect	respect	NOUN
ejpam-5819	490	9	to	to	ADP
ejpam-5819	490	10	unknown	unknown	ADJ
ejpam-5819	490	11	parameters	parameter	NOUN
ejpam-5819	490	12	are	be	AUX
ejpam-5819	490	13	∂ℓ	∂ℓ	PROPN
ejpam-5819	490	14	∂a1	∂a1	PROPN
ejpam-5819	490	15	=	=	SYM
ejpam-5819	490	16	n	n	CCONJ
ejpam-5819	490	17	a1	a1	NOUN
ejpam-5819	491	1	+	+	CCONJ
ejpam-5819	491	2	n∑	n∑	PROPN
ejpam-5819	491	3	i=1	i=1	PROPN
ejpam-5819	491	4	log(xi)−	log(xi)−	PROPN
ejpam-5819	491	5	(	(	PUNCT
ejpam-5819	491	6	b1	b1	NOUN
ejpam-5819	491	7	+	+	CCONJ
ejpam-5819	491	8	1	1	NUM
ejpam-5819	491	9	)	)	PUNCT
ejpam-5819	491	10	n∑	n∑	NOUN
ejpam-5819	491	11	i=1	i=1	PROPN
ejpam-5819	492	1	xa1i	xa1i	PROPN
ejpam-5819	492	2	log(xi	log(xi	X
ejpam-5819	492	3	)	)	PUNCT
ejpam-5819	492	4	1	1	NUM
ejpam-5819	493	1	+	+	CCONJ
ejpam-5819	493	2	xa1i	xa1i	PROPN
ejpam-5819	494	1	+	+	CCONJ
ejpam-5819	494	2	n∑	n∑	ADJ
ejpam-5819	494	3	i=1	i=1	PROPN
ejpam-5819	494	4	2b1x	2b1x	ADJ
ejpam-5819	494	5	a1	a1	NOUN
ejpam-5819	494	6	i	i	PRON
ejpam-5819	494	7	(	(	PUNCT
ejpam-5819	494	8	1	1	NUM
ejpam-5819	494	9	+	+	CCONJ
ejpam-5819	494	10	xa1i	xa1i	PROPN
ejpam-5819	494	11	)	)	PUNCT
ejpam-5819	494	12	−1−b1	−1−b1	X
ejpam-5819	494	13	log(xi	log(xi	X
ejpam-5819	494	14	)	)	PUNCT
ejpam-5819	494	15	[	[	PUNCT
ejpam-5819	494	16	δ2	δ2	VERB
ejpam-5819	494	17	−	−	NOUN
ejpam-5819	494	18	3δ6txi	3δ6txi	NUM
ejpam-5819	495	1	+	+	CCONJ
ejpam-5819	495	2	9λ5txity	9λ5txity	NUM
ejpam-5819	495	3	2	2	NUM
ejpam-5819	495	4	i	i	NOUN
ejpam-5819	495	5	]	]	PUNCT
ejpam-5819	496	1	δ(xi	δ(xi	X
ejpam-5819	496	2	,	,	PUNCT
ejpam-5819	496	3	yi	yi	NOUN
ejpam-5819	496	4	)	)	PUNCT
ejpam-5819	496	5	,	,	PUNCT
ejpam-5819	496	6	(	(	PUNCT
ejpam-5819	496	7	48	48	NUM
ejpam-5819	496	8	)	)	PUNCT
ejpam-5819	496	9	a.	a.	NOUN
ejpam-5819	496	10	a.	a.	NOUN
ejpam-5819	496	11	alsalafi	alsalafi	PROPN
ejpam-5819	496	12	,	,	PUNCT
ejpam-5819	496	13	s.	s.	PROPN
ejpam-5819	496	14	h.	h.	PROPN
ejpam-5819	496	15	shahbaz	shahbaz	PROPN
ejpam-5819	496	16	,	,	PUNCT
ejpam-5819	496	17	l.	l.	PROPN
ejpam-5819	496	18	i.	i.	PROPN
ejpam-5819	496	19	al	al	PROPN
ejpam-5819	496	20	-	-	PUNCT
ejpam-5819	496	21	turk	turk	PROPN
ejpam-5819	496	22	/	/	SYM
ejpam-5819	496	23	eur	eur	PROPN
ejpam-5819	496	24	.	.	PUNCT
ejpam-5819	497	1	j.	j.	PROPN
ejpam-5819	497	2	pure	pure	PROPN
ejpam-5819	497	3	appl	appl	PROPN
ejpam-5819	497	4	.	.	PROPN
ejpam-5819	497	5	math	math	PROPN
ejpam-5819	497	6	,	,	PUNCT
ejpam-5819	497	7	18	18	NUM
ejpam-5819	497	8	(	(	PUNCT
ejpam-5819	497	9	2	2	NUM
ejpam-5819	497	10	)	)	PUNCT
ejpam-5819	497	11	(	(	PUNCT
ejpam-5819	497	12	2025	2025	NUM
ejpam-5819	497	13	)	)	PUNCT
ejpam-5819	497	14	,	,	PUNCT
ejpam-5819	497	15	5819	5819	NUM
ejpam-5819	497	16	22	22	NUM
ejpam-5819	497	17	of	of	ADP
ejpam-5819	497	18	28	28	NUM
ejpam-5819	497	19	∂ℓ	∂ℓ	PROPN
ejpam-5819	497	20	∂a2	∂a2	PROPN
ejpam-5819	497	21	=	=	SYM
ejpam-5819	497	22	n	n	CCONJ
ejpam-5819	497	23	a2	a2	PROPN
ejpam-5819	497	24	+	+	CCONJ
ejpam-5819	497	25	n∑	n∑	ADJ
ejpam-5819	497	26	i=1	i=1	PROPN
ejpam-5819	498	1	log(yi)−	log(yi)−	PROPN
ejpam-5819	499	1	(	(	PUNCT
ejpam-5819	499	2	b2	b2	NOUN
ejpam-5819	499	3	+	+	CCONJ
ejpam-5819	499	4	1	1	NUM
ejpam-5819	499	5	)	)	PUNCT
ejpam-5819	499	6	n∑	n∑	NOUN
ejpam-5819	500	1	i=1	i=1	PROPN
ejpam-5819	500	2	ya2i	ya2i	NOUN
ejpam-5819	500	3	log(yi	log(yi	ADV
ejpam-5819	500	4	)	)	PUNCT
ejpam-5819	501	1	1	1	NUM
ejpam-5819	502	1	+	+	NUM
ejpam-5819	502	2	ya2i	ya2i	NOUN
ejpam-5819	503	1	+	+	CCONJ
ejpam-5819	503	2	n∑	n∑	PROPN
ejpam-5819	503	3	i=1	i=1	PROPN
ejpam-5819	503	4	−2b2y	−2b2y	PROPN
ejpam-5819	503	5	a2	a2	PROPN
ejpam-5819	503	6	i	i	PRON
ejpam-5819	503	7	(	(	PUNCT
ejpam-5819	503	8	1	1	NUM
ejpam-5819	503	9	+	+	NUM
ejpam-5819	503	10	ya2i	ya2i	NOUN
ejpam-5819	503	11	)	)	PUNCT
ejpam-5819	503	12	−1−b2	−1−b2	PROPN
ejpam-5819	503	13	log(yi	log(yi	ADV
ejpam-5819	503	14	)	)	PUNCT
ejpam-5819	503	15	[	[	PUNCT
ejpam-5819	503	16	δ4	δ4	NOUN
ejpam-5819	503	17	+	+	CCONJ
ejpam-5819	503	18	3δ7tyi	3δ7tyi	NUM
ejpam-5819	503	19	−	−	NUM
ejpam-5819	503	20	9λ5tx	9λ5tx	NUM
ejpam-5819	503	21	2	2	NUM
ejpam-5819	503	22	ityi	ityi	NOUN
ejpam-5819	503	23	]	]	PUNCT
ejpam-5819	504	1	δ(xi	δ(xi	PROPN
ejpam-5819	504	2	,	,	PUNCT
ejpam-5819	504	3	yi	yi	NOUN
ejpam-5819	504	4	)	)	PUNCT
ejpam-5819	504	5	,	,	PUNCT
ejpam-5819	504	6	(	(	PUNCT
ejpam-5819	504	7	49	49	X
ejpam-5819	504	8	)	)	PUNCT
ejpam-5819	505	1	∂ℓ	∂ℓ	PROPN
ejpam-5819	505	2	∂b1	∂b1	PROPN
ejpam-5819	505	3	=	=	SYM
ejpam-5819	505	4	n	n	NOUN
ejpam-5819	505	5	b1	b1	NOUN
ejpam-5819	505	6	−	−	PROPN
ejpam-5819	505	7	n∑	n∑	NOUN
ejpam-5819	505	8	i=1	i=1	PROPN
ejpam-5819	505	9	log(1	log(1	NOUN
ejpam-5819	506	1	+	+	CCONJ
ejpam-5819	506	2	xa1i	xa1i	PROPN
ejpam-5819	506	3	)	)	PUNCT
ejpam-5819	507	1	+	+	CCONJ
ejpam-5819	508	1	n∑	n∑	X
ejpam-5819	508	2	i=1	i=1	PROPN
ejpam-5819	508	3	2(1	2(1	NUM
ejpam-5819	508	4	+	+	CCONJ
ejpam-5819	508	5	xa1i	xa1i	PROPN
ejpam-5819	508	6	)	)	PUNCT
ejpam-5819	508	7	−b1	−b1	PROPN
ejpam-5819	508	8	log(1	log(1	NOUN
ejpam-5819	509	1	+	+	CCONJ
ejpam-5819	509	2	xa1i	xa1i	PROPN
ejpam-5819	509	3	)	)	PUNCT
ejpam-5819	510	1	[	[	PUNCT
ejpam-5819	510	2	δ2	δ2	VERB
ejpam-5819	510	3	−	−	NOUN
ejpam-5819	510	4	3δ6txi	3δ6txi	NUM
ejpam-5819	511	1	+	+	CCONJ
ejpam-5819	511	2	9λ5txity	9λ5txity	NUM
ejpam-5819	511	3	2	2	NUM
ejpam-5819	511	4	i	i	NOUN
ejpam-5819	511	5	]	]	PUNCT
ejpam-5819	512	1	δ(xi	δ(xi	X
ejpam-5819	512	2	,	,	PUNCT
ejpam-5819	512	3	yi	yi	NOUN
ejpam-5819	512	4	)	)	PUNCT
ejpam-5819	512	5	,	,	PUNCT
ejpam-5819	512	6	(	(	PUNCT
ejpam-5819	512	7	50	50	X
ejpam-5819	512	8	)	)	PUNCT
ejpam-5819	512	9	∂ℓ	∂ℓ	PROPN
ejpam-5819	512	10	∂b2	∂b2	PROPN
ejpam-5819	512	11	=	=	SYM
ejpam-5819	512	12	n	n	DET
ejpam-5819	512	13	b2	b2	NOUN
ejpam-5819	512	14	−	−	PROPN
ejpam-5819	512	15	n∑	n∑	NOUN
ejpam-5819	512	16	i=1	i=1	PROPN
ejpam-5819	512	17	log(1	log(1	NOUN
ejpam-5819	512	18	+	+	CCONJ
ejpam-5819	512	19	ya2i	ya2i	NOUN
ejpam-5819	512	20	)	)	PUNCT
ejpam-5819	513	1	+	+	CCONJ
ejpam-5819	514	1	n∑	n∑	X
ejpam-5819	514	2	i=1	i=1	PROPN
ejpam-5819	514	3	2(1	2(1	NUM
ejpam-5819	514	4	+	+	NUM
ejpam-5819	514	5	ya2i	ya2i	NOUN
ejpam-5819	514	6	)	)	PUNCT
ejpam-5819	514	7	−b2	−b2	PROPN
ejpam-5819	514	8	log(1	log(1	VERB
ejpam-5819	514	9	+	+	CCONJ
ejpam-5819	514	10	ya2i	ya2i	NOUN
ejpam-5819	514	11	)	)	PUNCT
ejpam-5819	515	1	[	[	PUNCT
ejpam-5819	515	2	δ4	δ4	NOUN
ejpam-5819	515	3	+	+	CCONJ
ejpam-5819	515	4	3δ7tyi	3δ7tyi	NUM
ejpam-5819	515	5	−	−	NUM
ejpam-5819	515	6	9λ5tx	9λ5tx	NUM
ejpam-5819	515	7	2	2	NUM
ejpam-5819	515	8	ityi	ityi	NOUN
ejpam-5819	515	9	]	]	PUNCT
ejpam-5819	516	1	δ(xi	δ(xi	PROPN
ejpam-5819	516	2	,	,	PUNCT
ejpam-5819	516	3	yi	yi	NOUN
ejpam-5819	516	4	)	)	PUNCT
ejpam-5819	516	5	,	,	PUNCT
ejpam-5819	516	6	(	(	PUNCT
ejpam-5819	516	7	51	51	NUM
ejpam-5819	516	8	)	)	PUNCT
ejpam-5819	516	9	∂ℓ	∂ℓ	PROPN
ejpam-5819	516	10	∂λ1	∂λ1	PROPN
ejpam-5819	517	1	=	=	SYM
ejpam-5819	517	2	n∑	n∑	PROPN
ejpam-5819	517	3	i=1	i=1	PROPN
ejpam-5819	517	4	1−	1−	NUM
ejpam-5819	518	1	2txi	2txi	NUM
ejpam-5819	518	2	δ(xi	δ(xi	PROPN
ejpam-5819	518	3	,	,	PUNCT
ejpam-5819	518	4	yi	yi	NOUN
ejpam-5819	518	5	)	)	PUNCT
ejpam-5819	518	6	,	,	PUNCT
ejpam-5819	518	7	(	(	PUNCT
ejpam-5819	518	8	52	52	X
ejpam-5819	518	9	)	)	PUNCT
ejpam-5819	518	10	∂ℓ	∂ℓ	PROPN
ejpam-5819	518	11	∂λ2	∂λ2	PROPN
ejpam-5819	518	12	=	=	PUNCT
ejpam-5819	518	13	n∑	n∑	PROPN
ejpam-5819	518	14	i=1	i=1	PROPN
ejpam-5819	519	1	2txi	2txi	NUM
ejpam-5819	519	2	−	−	PROPN
ejpam-5819	519	3	3tx2i	3tx2i	NUM
ejpam-5819	519	4	δ(xi	δ(xi	PROPN
ejpam-5819	519	5	,	,	PUNCT
ejpam-5819	519	6	yi	yi	NOUN
ejpam-5819	519	7	)	)	PUNCT
ejpam-5819	519	8	,	,	PUNCT
ejpam-5819	519	9	(	(	PUNCT
ejpam-5819	519	10	53	53	NUM
ejpam-5819	519	11	)	)	PUNCT
ejpam-5819	519	12	∂ℓ	∂ℓ	PROPN
ejpam-5819	519	13	∂λ3	∂λ3	PROPN
ejpam-5819	519	14	=	=	SYM
ejpam-5819	519	15	n∑	n∑	PROPN
ejpam-5819	519	16	i=1	i=1	PROPN
ejpam-5819	519	17	1−	1−	NUM
ejpam-5819	519	18	2tyi	2tyi	NUM
ejpam-5819	519	19	δ(xi	δ(xi	PROPN
ejpam-5819	519	20	,	,	PUNCT
ejpam-5819	519	21	yi	yi	NOUN
ejpam-5819	519	22	)	)	PUNCT
ejpam-5819	519	23	,	,	PUNCT
ejpam-5819	519	24	(	(	PUNCT
ejpam-5819	519	25	54	54	NUM
ejpam-5819	519	26	)	)	PUNCT
ejpam-5819	520	1	∂ℓ	∂ℓ	PROPN
ejpam-5819	520	2	∂λ4	∂λ4	NOUN
ejpam-5819	520	3	=	=	PUNCT
ejpam-5819	520	4	n∑	n∑	PROPN
ejpam-5819	520	5	i=1	i=1	PROPN
ejpam-5819	521	1	2tyi	2tyi	NUM
ejpam-5819	521	2	−	−	PROPN
ejpam-5819	522	1	3ty2i	3ty2i	NUM
ejpam-5819	522	2	δ(xi	δ(xi	PROPN
ejpam-5819	522	3	,	,	PUNCT
ejpam-5819	522	4	yi	yi	NOUN
ejpam-5819	522	5	)	)	PUNCT
ejpam-5819	522	6	,	,	PUNCT
ejpam-5819	522	7	(	(	PUNCT
ejpam-5819	522	8	55	55	X
ejpam-5819	522	9	)	)	PUNCT
ejpam-5819	523	1	∂ℓ	∂ℓ	PROPN
ejpam-5819	523	2	∂λ5	∂λ5	PROPN
ejpam-5819	523	3	=	=	SYM
ejpam-5819	523	4	n∑	n∑	PROPN
ejpam-5819	523	5	i=1	i=1	PROPN
ejpam-5819	523	6	1−	1−	NUM
ejpam-5819	523	7	3tx2i	3tx2i	NUM
ejpam-5819	523	8	−	−	PROPN
ejpam-5819	523	9	3ty2i	3ty2i	NUM
ejpam-5819	524	1	+	+	CCONJ
ejpam-5819	524	2	9tx2ity	9tx2ity	NUM
ejpam-5819	524	3	2	2	NUM
ejpam-5819	524	4	i	i	PRON
ejpam-5819	524	5	δ(xi	δ(xi	PROPN
ejpam-5819	524	6	,	,	PUNCT
ejpam-5819	524	7	yi	yi	NOUN
ejpam-5819	524	8	)	)	PUNCT
ejpam-5819	524	9	,	,	PUNCT
ejpam-5819	524	10	(	(	PUNCT
ejpam-5819	524	11	56	56	NUM
ejpam-5819	524	12	)	)	PUNCT
ejpam-5819	524	13	where	where	SCONJ
ejpam-5819	524	14	δ(xi	δ(xi	PROPN
ejpam-5819	524	15	,	,	PUNCT
ejpam-5819	524	16	yi	yi	NOUN
ejpam-5819	524	17	)	)	PUNCT
ejpam-5819	524	18	=	=	PUNCT
ejpam-5819	525	1	[	[	PUNCT
ejpam-5819	525	2	1	1	NUM
ejpam-5819	525	3	+	+	NUM
ejpam-5819	525	4	λ1	λ1	ADJ
ejpam-5819	525	5	+	+	NUM
ejpam-5819	525	6	λ3	λ3	PROPN
ejpam-5819	526	1	+	+	NOUN
ejpam-5819	526	2	λ5	λ5	NOUN
ejpam-5819	526	3	+	+	CCONJ
ejpam-5819	526	4	2txi(λ2	2txi(λ2	NUM
ejpam-5819	526	5	−	−	NOUN
ejpam-5819	526	6	λ1	λ1	ADJ
ejpam-5819	526	7	)	)	PUNCT
ejpam-5819	526	8	−	−	PROPN
ejpam-5819	527	1	3(λ2	3(λ2	NUM
ejpam-5819	528	1	+	+	CCONJ
ejpam-5819	528	2	λ5)tx	λ5)tx	NOUN
ejpam-5819	528	3	2	2	NUM
ejpam-5819	529	1	i	i	PRON
ejpam-5819	529	2	−	−	PROPN
ejpam-5819	529	3	2(λ3	2(λ3	NUM
ejpam-5819	530	1	−	−	NOUN
ejpam-5819	531	1	λ4)tyi	λ4)tyi	NOUN
ejpam-5819	531	2	−	−	PROPN
ejpam-5819	531	3	3(λ4	3(λ4	PROPN
ejpam-5819	532	1	+	+	NUM
ejpam-5819	532	2	λ5)ty	λ5)ty	PROPN
ejpam-5819	532	3	2	2	NUM
ejpam-5819	533	1	i	i	NOUN
ejpam-5819	533	2	+	+	CCONJ
ejpam-5819	533	3	9λ5tx	9λ5tx	NUM
ejpam-5819	533	4	2	2	NUM
ejpam-5819	533	5	ity	ity	PROPN
ejpam-5819	533	6	2	2	NUM
ejpam-5819	533	7	i	i	NOUN
ejpam-5819	533	8	]	]	PUNCT
ejpam-5819	533	9	.	.	PUNCT
ejpam-5819	534	1	the	the	DET
ejpam-5819	534	2	corresponding	correspond	VERB
ejpam-5819	534	3	mle	mle	NOUN
ejpam-5819	534	4	of	of	ADP
ejpam-5819	534	5	the	the	DET
ejpam-5819	534	6	parameter	parameter	NOUN
ejpam-5819	534	7	vector	vector	NOUN
ejpam-5819	534	8	θ	θ	PROPN
ejpam-5819	535	1	=	=	SYM
ejpam-5819	536	1	(	(	PUNCT
ejpam-5819	537	1	a1	a1	PROPN
ejpam-5819	537	2	,	,	PUNCT
ejpam-5819	537	3	a2	a2	PROPN
ejpam-5819	537	4	,	,	PUNCT
ejpam-5819	537	5	b1	b1	NOUN
ejpam-5819	537	6	,	,	PUNCT
ejpam-5819	537	7	b2	b2	NOUN
ejpam-5819	537	8	,	,	PUNCT
ejpam-5819	537	9	λ1	λ1	ADJ
ejpam-5819	537	10	,	,	PUNCT
ejpam-5819	537	11	λ2	λ2	PROPN
ejpam-5819	537	12	,	,	PUNCT
ejpam-5819	537	13	λ3	λ3	PROPN
ejpam-5819	537	14	,	,	PUNCT
ejpam-5819	537	15	λ4	λ4	PROPN
ejpam-5819	537	16	,	,	PUNCT
ejpam-5819	537	17	λ5	λ5	NOUN
ejpam-5819	537	18	)	)	PUNCT
ejpam-5819	537	19	is	be	AUX
ejpam-5819	537	20	obtained	obtain	VERB
ejpam-5819	537	21	by	by	ADP
ejpam-5819	537	22	equating	equate	VERB
ejpam-5819	537	23	the	the	DET
ejpam-5819	537	24	above	above	ADJ
ejpam-5819	537	25	derivatives	derivative	NOUN
ejpam-5819	537	26	to	to	ADP
ejpam-5819	537	27	zero	zero	NUM
ejpam-5819	537	28	and	and	CCONJ
ejpam-5819	537	29	solving	solve	VERB
ejpam-5819	537	30	the	the	DET
ejpam-5819	537	31	resulting	result	VERB
ejpam-5819	537	32	equations	equation	NOUN
ejpam-5819	537	33	numerically	numerically	ADV
ejpam-5819	537	34	.	.	PUNCT
ejpam-5819	538	1	9	9	X
ejpam-5819	538	2	.	.	X
ejpam-5819	538	3	simulation	simulation	NOUN
ejpam-5819	538	4	and	and	CCONJ
ejpam-5819	538	5	numerical	numerical	PROPN
ejpam-5819	538	6	studies	study	NOUN
ejpam-5819	538	7	in	in	ADP
ejpam-5819	538	8	this	this	DET
ejpam-5819	538	9	section	section	NOUN
ejpam-5819	538	10	,	,	PUNCT
ejpam-5819	538	11	a	a	DET
ejpam-5819	538	12	simulation	simulation	NOUN
ejpam-5819	538	13	study	study	NOUN
ejpam-5819	538	14	is	be	AUX
ejpam-5819	538	15	carried	carry	VERB
ejpam-5819	538	16	out	out	ADP
ejpam-5819	538	17	to	to	PART
ejpam-5819	538	18	observe	observe	VERB
ejpam-5819	538	19	the	the	DET
ejpam-5819	538	20	performance	performance	NOUN
ejpam-5819	538	21	of	of	ADP
ejpam-5819	538	22	the	the	DET
ejpam-5819	538	23	mle	mle	PROPN
ejpam-5819	538	24	procedure	procedure	NOUN
ejpam-5819	538	25	.	.	PUNCT
ejpam-5819	539	1	in	in	ADP
ejpam-5819	539	2	addition	addition	NOUN
ejpam-5819	539	3	,	,	PUNCT
ejpam-5819	539	4	the	the	DET
ejpam-5819	539	5	bctb	bctb	NOUN
ejpam-5819	539	6	distribution	distribution	NOUN
ejpam-5819	539	7	has	have	AUX
ejpam-5819	539	8	been	be	AUX
ejpam-5819	539	9	applied	apply	VERB
ejpam-5819	539	10	to	to	ADP
ejpam-5819	539	11	real	real	ADJ
ejpam-5819	539	12	-	-	PUNCT
ejpam-5819	539	13	life	life	NOUN
ejpam-5819	539	14	data	datum	NOUN
ejpam-5819	539	15	sets	set	NOUN
ejpam-5819	539	16	to	to	PART
ejpam-5819	539	17	investigate	investigate	VERB
ejpam-5819	539	18	its	its	PRON
ejpam-5819	539	19	applicability	applicability	NOUN
ejpam-5819	539	20	.	.	PUNCT
ejpam-5819	540	1	a.	a.	NOUN
ejpam-5819	540	2	a.	a.	PROPN
ejpam-5819	540	3	alsalafi	alsalafi	PROPN
ejpam-5819	540	4	,	,	PUNCT
ejpam-5819	540	5	s.	s.	PROPN
ejpam-5819	540	6	h.	h.	PROPN
ejpam-5819	540	7	shahbaz	shahbaz	PROPN
ejpam-5819	540	8	,	,	PUNCT
ejpam-5819	540	9	l.	l.	PROPN
ejpam-5819	540	10	i.	i.	PROPN
ejpam-5819	540	11	al	al	PROPN
ejpam-5819	540	12	-	-	PUNCT
ejpam-5819	540	13	turk	turk	PROPN
ejpam-5819	540	14	/	/	SYM
ejpam-5819	540	15	eur	eur	PROPN
ejpam-5819	540	16	.	.	PUNCT
ejpam-5819	541	1	j.	j.	PROPN
ejpam-5819	541	2	pure	pure	PROPN
ejpam-5819	541	3	appl	appl	PROPN
ejpam-5819	541	4	.	.	PROPN
ejpam-5819	541	5	math	math	PROPN
ejpam-5819	541	6	,	,	PUNCT
ejpam-5819	541	7	18	18	NUM
ejpam-5819	541	8	(	(	PUNCT
ejpam-5819	541	9	2	2	NUM
ejpam-5819	541	10	)	)	PUNCT
ejpam-5819	541	11	(	(	PUNCT
ejpam-5819	541	12	2025	2025	NUM
ejpam-5819	541	13	)	)	PUNCT
ejpam-5819	541	14	,	,	PUNCT
ejpam-5819	541	15	5819	5819	NUM
ejpam-5819	541	16	23	23	NUM
ejpam-5819	541	17	of	of	ADP
ejpam-5819	541	18	28	28	NUM
ejpam-5819	541	19	9.1	9.1	NUM
ejpam-5819	541	20	.	.	PUNCT
ejpam-5819	542	1	simulation	simulation	NOUN
ejpam-5819	542	2	study	study	VERB
ejpam-5819	542	3	this	this	DET
ejpam-5819	542	4	subsection	subsection	NOUN
ejpam-5819	542	5	,	,	PUNCT
ejpam-5819	542	6	the	the	DET
ejpam-5819	542	7	method	method	NOUN
ejpam-5819	542	8	of	of	ADP
ejpam-5819	542	9	the	the	DET
ejpam-5819	542	10	mle	mle	NOUN
ejpam-5819	542	11	for	for	ADP
ejpam-5819	542	12	the	the	DET
ejpam-5819	542	13	parameters	parameter	NOUN
ejpam-5819	542	14	of	of	ADP
ejpam-5819	542	15	the	the	DET
ejpam-5819	542	16	bctb	bctb	NOUN
ejpam-5819	542	17	distribution	distribution	NOUN
ejpam-5819	542	18	parameters	parameter	NOUN
ejpam-5819	542	19	is	be	AUX
ejpam-5819	542	20	obtained	obtain	VERB
ejpam-5819	542	21	through	through	ADP
ejpam-5819	542	22	a	a	DET
ejpam-5819	542	23	monte	monte	PROPN
ejpam-5819	542	24	carlo	carlo	PROPN
ejpam-5819	542	25	simulation	simulation	PROPN
ejpam-5819	542	26	study	study	NOUN
ejpam-5819	542	27	using	use	VERB
ejpam-5819	542	28	the	the	DET
ejpam-5819	542	29	r	r	NOUN
ejpam-5819	542	30	-	-	PUNCT
ejpam-5819	542	31	package	package	NOUN
ejpam-5819	542	32	”	"	PUNCT
ejpam-5819	542	33	maxlik	maxlik	NOUN
ejpam-5819	542	34	”	"	PUNCT
ejpam-5819	542	35	and	and	CCONJ
ejpam-5819	542	36	”	"	PUNCT
ejpam-5819	542	37	stats4	stats4	NOUN
ejpam-5819	542	38	”	"	PUNCT
ejpam-5819	542	39	.	.	PUNCT
ejpam-5819	543	1	the	the	DET
ejpam-5819	543	2	sample	sample	NOUN
ejpam-5819	543	3	size	size	NOUN
ejpam-5819	543	4	n=20	n=20	PROPN
ejpam-5819	543	5	,	,	PUNCT
ejpam-5819	543	6	50	50	NUM
ejpam-5819	543	7	,	,	PUNCT
ejpam-5819	543	8	100	100	NUM
ejpam-5819	543	9	and	and	CCONJ
ejpam-5819	543	10	200	200	NUM
ejpam-5819	543	11	is	be	AUX
ejpam-5819	543	12	considered	consider	VERB
ejpam-5819	543	13	,	,	PUNCT
ejpam-5819	543	14	and	and	CCONJ
ejpam-5819	543	15	m	m	AUX
ejpam-5819	543	16	the	the	DET
ejpam-5819	543	17	number	number	NOUN
ejpam-5819	543	18	of	of	ADP
ejpam-5819	543	19	samples	sample	NOUN
ejpam-5819	543	20	is	be	AUX
ejpam-5819	543	21	set	set	VERB
ejpam-5819	543	22	to	to	ADP
ejpam-5819	543	23	10000	10000	NUM
ejpam-5819	543	24	.	.	PUNCT
ejpam-5819	544	1	the	the	DET
ejpam-5819	544	2	ml	ml	PROPN
ejpam-5819	544	3	estimates	estimate	NOUN
ejpam-5819	544	4	of	of	ADP
ejpam-5819	544	5	the	the	DET
ejpam-5819	544	6	parameters	parameter	NOUN
ejpam-5819	544	7	a1	a1	PROPN
ejpam-5819	544	8	,	,	PUNCT
ejpam-5819	544	9	a2	a2	PROPN
ejpam-5819	544	10	,	,	PUNCT
ejpam-5819	544	11	b1	b1	NOUN
ejpam-5819	544	12	,	,	PUNCT
ejpam-5819	544	13	b2	b2	NOUN
ejpam-5819	544	14	,	,	PUNCT
ejpam-5819	544	15	λ1	λ1	ADJ
ejpam-5819	544	16	,	,	PUNCT
ejpam-5819	544	17	λ2	λ2	PROPN
ejpam-5819	544	18	,	,	PUNCT
ejpam-5819	544	19	λ3	λ3	PROPN
ejpam-5819	544	20	,	,	PUNCT
ejpam-5819	544	21	λ4	λ4	PROPN
ejpam-5819	544	22	and	and	CCONJ
ejpam-5819	544	23	λ5	λ5	NOUN
ejpam-5819	544	24	are	be	AUX
ejpam-5819	544	25	obtained	obtain	VERB
ejpam-5819	544	26	numerically	numerically	ADV
ejpam-5819	544	27	as	as	ADP
ejpam-5819	544	28	the	the	DET
ejpam-5819	544	29	following	following	ADJ
ejpam-5819	544	30	ste	ste	NOUN
ejpam-5819	544	31	:	:	PUNCT
ejpam-5819	544	32	1	1	X
ejpam-5819	544	33	.	.	X
ejpam-5819	545	1	the	the	DET
ejpam-5819	545	2	ml	ml	PROPN
ejpam-5819	545	3	estimates	estimate	NOUN
ejpam-5819	545	4	of	of	ADP
ejpam-5819	545	5	parametersa1	parametersa1	NOUN
ejpam-5819	545	6	,	,	PUNCT
ejpam-5819	545	7	a2	a2	PROPN
ejpam-5819	545	8	,	,	PUNCT
ejpam-5819	545	9	b1	b1	NOUN
ejpam-5819	545	10	,	,	PUNCT
ejpam-5819	545	11	b2	b2	NOUN
ejpam-5819	545	12	,	,	PUNCT
ejpam-5819	545	13	λ1	λ1	ADJ
ejpam-5819	545	14	,	,	PUNCT
ejpam-5819	545	15	λ2	λ2	PROPN
ejpam-5819	545	16	,	,	PUNCT
ejpam-5819	545	17	λ3	λ3	PROPN
ejpam-5819	545	18	,	,	PUNCT
ejpam-5819	545	19	λ4	λ4	PROPN
ejpam-5819	545	20	and	and	CCONJ
ejpam-5819	545	21	λ5	λ5	NOUN
ejpam-5819	545	22	are	be	AUX
ejpam-5819	545	23	computed	compute	VERB
ejpam-5819	545	24	by	by	ADP
ejpam-5819	545	25	solving	solve	VERB
ejpam-5819	545	26	the	the	DET
ejpam-5819	545	27	system	system	NOUN
ejpam-5819	545	28	of	of	ADP
ejpam-5819	545	29	non	non	ADJ
ejpam-5819	545	30	-	-	ADJ
ejpam-5819	545	31	linear	linear	ADJ
ejpam-5819	545	32	equations	equation	NOUN
ejpam-5819	545	33	from	from	ADP
ejpam-5819	545	34	(	(	PUNCT
ejpam-5819	545	35	48	48	NUM
ejpam-5819	545	36	)	)	PUNCT
ejpam-5819	545	37	to	to	ADP
ejpam-5819	545	38	(	(	PUNCT
ejpam-5819	545	39	56	56	NUM
ejpam-5819	545	40	)	)	PUNCT
ejpam-5819	545	41	,	,	PUNCT
ejpam-5819	545	42	simultaneously	simultaneously	ADV
ejpam-5819	545	43	.	.	PUNCT
ejpam-5819	546	1	2	2	X
ejpam-5819	546	2	.	.	X
ejpam-5819	546	3	the	the	DET
ejpam-5819	546	4	bias	bias	NOUN
ejpam-5819	546	5	and	and	CCONJ
ejpam-5819	546	6	mse	mse	NOUN
ejpam-5819	546	7	of	of	ADP
ejpam-5819	546	8	the	the	DET
ejpam-5819	546	9	estimates	estimate	NOUN
ejpam-5819	546	10	are	be	AUX
ejpam-5819	546	11	calculated	calculate	VERB
ejpam-5819	546	12	using	use	VERB
ejpam-5819	546	13	the	the	DET
ejpam-5819	546	14	following	following	NOUN
ejpam-5819	546	15	:	:	PUNCT
ejpam-5819	546	16	bias(θ̂	bias(θ̂	NUM
ejpam-5819	546	17	)	)	PUNCT
ejpam-5819	546	18	=	=	SYM
ejpam-5819	546	19	¯̂	¯̂	ADJ
ejpam-5819	546	20	θ−θ	θ−θ	NOUN
ejpam-5819	546	21	,	,	PUNCT
ejpam-5819	546	22	mse(θ̂	mse(θ̂	PROPN
ejpam-5819	546	23	)	)	PUNCT
ejpam-5819	546	24	=	=	NOUN
ejpam-5819	546	25	v	v	ADP
ejpam-5819	546	26	ar(θ̂	ar(θ̂	NOUN
ejpam-5819	546	27	)	)	PUNCT
ejpam-5819	546	28	+	+	CCONJ
ejpam-5819	546	29	(	(	PUNCT
ejpam-5819	546	30	bias(θ̂))2	bias(θ̂))2	INTJ
ejpam-5819	546	31	,	,	PUNCT
ejpam-5819	546	32	where	where	SCONJ
ejpam-5819	546	33	θ	θ	PROPN
ejpam-5819	546	34	=	=	SYM
ejpam-5819	546	35	(	(	PUNCT
ejpam-5819	546	36	a1	a1	PROPN
ejpam-5819	546	37	,	,	PUNCT
ejpam-5819	546	38	a2	a2	PROPN
ejpam-5819	546	39	,	,	PUNCT
ejpam-5819	546	40	b1	b1	NOUN
ejpam-5819	546	41	,	,	PUNCT
ejpam-5819	546	42	b2	b2	NOUN
ejpam-5819	546	43	,	,	PUNCT
ejpam-5819	546	44	λ1	λ1	ADJ
ejpam-5819	546	45	,	,	PUNCT
ejpam-5819	546	46	λ2	λ2	PROPN
ejpam-5819	546	47	,	,	PUNCT
ejpam-5819	546	48	λ3	λ3	PROPN
ejpam-5819	546	49	,	,	PUNCT
ejpam-5819	546	50	λ4	λ4	PROPN
ejpam-5819	546	51	,	,	PUNCT
ejpam-5819	546	52	λ5	λ5	NOUN
ejpam-5819	546	53	)	)	PUNCT
ejpam-5819	546	54	,	,	PUNCT
ejpam-5819	546	55	θ̂	θ̂	PUNCT
ejpam-5819	546	56	=	=	SYM
ejpam-5819	546	57	(	(	PUNCT
ejpam-5819	546	58	â1	â1	PROPN
ejpam-5819	546	59	,	,	PUNCT
ejpam-5819	546	60	â2	â2	PROPN
ejpam-5819	546	61	,	,	PUNCT
ejpam-5819	546	62	b̂1	b̂1	PROPN
ejpam-5819	546	63	,	,	PUNCT
ejpam-5819	546	64	b̂2	b̂2	PROPN
ejpam-5819	546	65	,	,	PUNCT
ejpam-5819	546	66	λ̂1	λ̂1	PROPN
ejpam-5819	546	67	,	,	PUNCT
ejpam-5819	546	68	λ̂2	λ̂2	PROPN
ejpam-5819	546	69	,	,	PUNCT
ejpam-5819	546	70	λ̂3	λ̂3	PROPN
ejpam-5819	546	71	,	,	PUNCT
ejpam-5819	546	72	λ̂4	λ̂4	PROPN
ejpam-5819	546	73	,	,	PUNCT
ejpam-5819	546	74	λ̂5	λ̂5	PROPN
ejpam-5819	546	75	)	)	PUNCT
ejpam-5819	546	76	and	and	CCONJ
ejpam-5819	546	77	¯̂	¯̂	ADJ
ejpam-5819	546	78	θ	θ	PROPN
ejpam-5819	546	79	is	be	AUX
ejpam-5819	546	80	the	the	DET
ejpam-5819	546	81	mean	mean	NOUN
ejpam-5819	546	82	of	of	ADP
ejpam-5819	546	83	θ	θ	PROPN
ejpam-5819	546	84	.	.	PUNCT
ejpam-5819	547	1	it	it	PRON
ejpam-5819	547	2	is	be	AUX
ejpam-5819	547	3	clear	clear	ADJ
ejpam-5819	547	4	from	from	ADP
ejpam-5819	547	5	the	the	DET
ejpam-5819	547	6	summarized	summarize	VERB
ejpam-5819	547	7	results	result	NOUN
ejpam-5819	547	8	of	of	ADP
ejpam-5819	547	9	the	the	DET
ejpam-5819	547	10	simulation	simulation	NOUN
ejpam-5819	547	11	study	study	NOUN
ejpam-5819	547	12	for	for	ADP
ejpam-5819	547	13	different	different	ADJ
ejpam-5819	547	14	parameters	parameter	NOUN
ejpam-5819	547	15	of	of	ADP
ejpam-5819	547	16	table	table	NOUN
ejpam-5819	547	17	(	(	PUNCT
ejpam-5819	547	18	1	1	NUM
ejpam-5819	547	19	)	)	PUNCT
ejpam-5819	547	20	that	that	SCONJ
ejpam-5819	547	21	when	when	SCONJ
ejpam-5819	547	22	the	the	DET
ejpam-5819	547	23	sample	sample	NOUN
ejpam-5819	547	24	size	size	NOUN
ejpam-5819	547	25	increases	increase	NOUN
ejpam-5819	547	26	,	,	PUNCT
ejpam-5819	547	27	the	the	DET
ejpam-5819	547	28	estimates	estimate	NOUN
ejpam-5819	547	29	of	of	ADP
ejpam-5819	547	30	all	all	DET
ejpam-5819	547	31	parameters	parameter	NOUN
ejpam-5819	547	32	improve	improve	VERB
ejpam-5819	547	33	.	.	PUNCT
ejpam-5819	548	1	that	that	PRON
ejpam-5819	548	2	is	is	ADV
ejpam-5819	548	3	,	,	PUNCT
ejpam-5819	548	4	the	the	DET
ejpam-5819	548	5	bias	bias	NOUN
ejpam-5819	548	6	and	and	CCONJ
ejpam-5819	548	7	the	the	DET
ejpam-5819	548	8	mse	mse	NOUN
ejpam-5819	548	9	width	width	NOUN
ejpam-5819	548	10	decrease	decrease	NOUN
ejpam-5819	548	11	as	as	SCONJ
ejpam-5819	548	12	the	the	DET
ejpam-5819	548	13	sample	sample	NOUN
ejpam-5819	548	14	sizes	size	NOUN
ejpam-5819	548	15	increase	increase	VERB
ejpam-5819	548	16	.	.	PUNCT
ejpam-5819	549	1	a	a	PRON
ejpam-5819	549	2	.	.	PUNCT
ejpam-5819	550	1	a	a	PRON
ejpam-5819	550	2	.	.	PUNCT
ejpam-5819	551	1	a	a	DET
ejpam-5819	551	2	lsa	lsa	NOUN
ejpam-5819	551	3	la	la	PROPN
ejpam-5819	551	4	fi	fi	PROPN
ejpam-5819	551	5	,	,	PUNCT
ejpam-5819	551	6	s	s	PART
ejpam-5819	551	7	.	.	PUNCT
ejpam-5819	552	1	h	h	PROPN
ejpam-5819	552	2	.	.	PUNCT
ejpam-5819	553	1	s	s	VERB
ejpam-5819	553	2	h	h	NOUN
ejpam-5819	553	3	a	a	DET
ejpam-5819	553	4	h	h	NOUN
ejpam-5819	553	5	b	b	PROPN
ejpam-5819	553	6	a	a	DET
ejpam-5819	553	7	z	z	PROPN
ejpam-5819	553	8	,	,	PUNCT
ejpam-5819	553	9	l	l	PROPN
ejpam-5819	553	10	.	.	PUNCT
ejpam-5819	554	1	i.	i.	PROPN
ejpam-5819	554	2	a	a	DET
ejpam-5819	554	3	l	l	NOUN
ejpam-5819	554	4	-	-	NOUN
ejpam-5819	554	5	t	t	NOUN
ejpam-5819	554	6	u	u	NOUN
ejpam-5819	554	7	rk	rk	PROPN
ejpam-5819	554	8	/	/	SYM
ejpam-5819	554	9	e	e	PROPN
ejpam-5819	554	10	u	u	PROPN
ejpam-5819	554	11	r.	r.	PROPN
ejpam-5819	554	12	j	j	PROPN
ejpam-5819	554	13	.	.	PUNCT
ejpam-5819	555	1	p	p	X
ejpam-5819	555	2	u	u	X
ejpam-5819	555	3	re	re	ADP
ejpam-5819	555	4	a	a	DET
ejpam-5819	555	5	p	p	X
ejpam-5819	555	6	p	p	X
ejpam-5819	555	7	l.	l.	PROPN
ejpam-5819	555	8	m	m	PROPN
ejpam-5819	555	9	a	a	DET
ejpam-5819	555	10	th	th	X
ejpam-5819	555	11	,	,	PUNCT
ejpam-5819	555	12	1	1	NUM
ejpam-5819	555	13	8	8	NUM
ejpam-5819	555	14	(	(	PUNCT
ejpam-5819	555	15	2	2	NUM
ejpam-5819	555	16	)	)	PUNCT
ejpam-5819	555	17	(	(	PUNCT
ejpam-5819	555	18	2	2	NUM
ejpam-5819	555	19	0	0	NUM
ejpam-5819	555	20	2	2	NUM
ejpam-5819	555	21	5	5	NUM
ejpam-5819	555	22	)	)	PUNCT
ejpam-5819	555	23	,	,	PUNCT
ejpam-5819	555	24	5	5	NUM
ejpam-5819	555	25	8	8	NUM
ejpam-5819	555	26	1	1	NUM
ejpam-5819	555	27	9	9	NUM
ejpam-5819	555	28	2	2	NUM
ejpam-5819	555	29	4	4	NUM
ejpam-5819	555	30	o	o	NOUN
ejpam-5819	555	31	f	f	NOUN
ejpam-5819	555	32	2	2	NUM
ejpam-5819	555	33	8	8	NUM
ejpam-5819	555	34	table	table	NOUN
ejpam-5819	555	35	1	1	NUM
ejpam-5819	555	36	:	:	PUNCT
ejpam-5819	555	37	simulation	simulation	NOUN
ejpam-5819	555	38	results	result	VERB
ejpam-5819	555	39	for	for	ADP
ejpam-5819	555	40	the	the	DET
ejpam-5819	555	41	bctb	bctb	NOUN
ejpam-5819	555	42	distribution	distribution	NOUN
ejpam-5819	555	43	n=20	n=20	NOUN
ejpam-5819	555	44	n=50	n=50	PROPN
ejpam-5819	555	45	n=100	n=100	NUM
ejpam-5819	555	46	n=200	n=200	PROPN
ejpam-5819	555	47	parameters	parameter	NOUN
ejpam-5819	555	48	estimates	estimate	VERB
ejpam-5819	555	49	bias	bias	PROPN
ejpam-5819	555	50	mse	mse	PROPN
ejpam-5819	555	51	estimates	estimate	NOUN
ejpam-5819	555	52	bias	bias	PROPN
ejpam-5819	555	53	mse	mse	PROPN
ejpam-5819	555	54	estimates	estimate	NOUN
ejpam-5819	555	55	bias	bias	PROPN
ejpam-5819	555	56	mse	mse	PROPN
ejpam-5819	555	57	estimates	estimate	NOUN
ejpam-5819	555	58	bias	bias	PROPN
ejpam-5819	555	59	mse	mse	NOUN
ejpam-5819	555	60	a1	a1	NOUN
ejpam-5819	555	61	=	=	NOUN
ejpam-5819	555	62	2.5	2.5	NUM
ejpam-5819	555	63	2.5001	2.5001	NUM
ejpam-5819	555	64	0.0183	0.0183	NUM
ejpam-5819	555	65	0.0130	0.0130	NUM
ejpam-5819	555	66	2.5002	2.5002	NUM
ejpam-5819	555	67	0.0366	0.0366	NUM
ejpam-5819	555	68	0.0136	0.0136	NUM
ejpam-5819	555	69	2.4998	2.4998	NUM
ejpam-5819	555	70	-0.0366	-0.0366	NOUN
ejpam-5819	555	71	0.0134	0.0134	NUM
ejpam-5819	556	1	2.5001	2.5001	NUM
ejpam-5819	556	2	0.0183	0.0183	NUM
ejpam-5819	556	3	0.0119	0.0119	NUM
ejpam-5819	556	4	a2	a2	NOUN
ejpam-5819	556	5	=	=	SYM
ejpam-5819	556	6	1.25	1.25	NUM
ejpam-5819	556	7	1.2501	1.2501	NUM
ejpam-5819	556	8	0.0183	0.0183	NUM
ejpam-5819	556	9	0.0131	0.0131	NUM
ejpam-5819	556	10	1.2498	1.2498	NUM
ejpam-5819	556	11	-0.0366	-0.0366	NUM
ejpam-5819	556	12	0.0159	0.0159	NUM
ejpam-5819	556	13	1.2500	1.2500	NUM
ejpam-5819	556	14	0.0000	0.0000	NUM
ejpam-5819	556	15	0.0063	0.0063	NUM
ejpam-5819	556	16	1.2500	1.2500	NUM
ejpam-5819	556	17	0.0000	0.0000	NUM
ejpam-5819	556	18	0.0137	0.0137	NUM
ejpam-5819	556	19	b1	b1	NOUN
ejpam-5819	556	20	=	=	PUNCT
ejpam-5819	556	21	3.0	3.0	NUM
ejpam-5819	556	22	2.9997	2.9997	NUM
ejpam-5819	556	23	-0.0549	-0.0549	NOUN
ejpam-5819	556	24	0.0141	0.0141	NUM
ejpam-5819	556	25	3.0001	3.0001	NUM
ejpam-5819	556	26	0.0183	0.0183	NUM
ejpam-5819	556	27	0.0119	0.0119	NUM
ejpam-5819	556	28	3.0000	3.0000	NUM
ejpam-5819	556	29	0.0000	0.0000	NUM
ejpam-5819	556	30	0.0066	0.0066	NUM
ejpam-5819	556	31	3.0000	3.0000	NUM
ejpam-5819	556	32	0.0000	0.0000	NUM
ejpam-5819	556	33	0.0099	0.0099	NUM
ejpam-5819	556	34	b2	b2	NOUN
ejpam-5819	556	35	=	=	NOUN
ejpam-5819	556	36	2.0	2.0	NUM
ejpam-5819	556	37	2.0000	2.0000	NUM
ejpam-5819	556	38	0.0000	0.0000	NUM
ejpam-5819	556	39	0.0083	0.0083	NUM
ejpam-5819	556	40	1.9999	1.9999	NUM
ejpam-5819	556	41	-0.0183	-0.0183	NOUN
ejpam-5819	556	42	0.0091	0.0091	NUM
ejpam-5819	556	43	2.0002	2.0002	NUM
ejpam-5819	556	44	0.0366	0.0366	NUM
ejpam-5819	556	45	0.0131	0.0131	NUM
ejpam-5819	556	46	1.9999	1.9999	NUM
ejpam-5819	556	47	-0.0183	-0.0183	NOUN
ejpam-5819	557	1	0.0090	0.0090	NUM
ejpam-5819	557	2	λ1	λ1	ADJ
ejpam-5819	557	3	=	=	NOUN
ejpam-5819	557	4	0.1	0.1	NUM
ejpam-5819	557	5	0.1000	0.1000	NUM
ejpam-5819	557	6	0.0000	0.0000	NUM
ejpam-5819	557	7	0.0057	0.0057	NUM
ejpam-5819	557	8	0.1000	0.1000	NUM
ejpam-5819	557	9	0.0000	0.0000	NUM
ejpam-5819	557	10	0.0058	0.0058	NUM
ejpam-5819	557	11	0.1000	0.1000	NUM
ejpam-5819	557	12	0.0000	0.0000	NUM
ejpam-5819	557	13	0.0058	0.0058	NUM
ejpam-5819	557	14	0.1000	0.1000	NUM
ejpam-5819	557	15	0.0000	0.0000	NUM
ejpam-5819	557	16	0.0058	0.0058	NUM
ejpam-5819	557	17	λ2	λ2	NOUN
ejpam-5819	557	18	=	=	NOUN
ejpam-5819	557	19	0.2	0.2	NUM
ejpam-5819	557	20	0.2000	0.2000	NUM
ejpam-5819	557	21	0.0000	0.0000	NUM
ejpam-5819	557	22	0.0116	0.0116	NUM
ejpam-5819	557	23	0.2001	0.2001	NUM
ejpam-5819	557	24	0.0183	0.0183	NUM
ejpam-5819	558	1	0.0115	0.0115	NUM
ejpam-5819	558	2	0.2002	0.2002	NUM
ejpam-5819	558	3	0.0366	0.0366	NUM
ejpam-5819	558	4	0.0115	0.0115	NUM
ejpam-5819	558	5	0.2000	0.2000	NUM
ejpam-5819	558	6	0.0000	0.0000	NUM
ejpam-5819	558	7	0.0116	0.0116	NUM
ejpam-5819	558	8	λ3	λ3	PROPN
ejpam-5819	558	9	=	=	NOUN
ejpam-5819	558	10	0.25	0.25	NUM
ejpam-5819	558	11	0.2498	0.2498	NUM
ejpam-5819	558	12	-0.0366	-0.0366	NUM
ejpam-5819	559	1	0.0145	0.0145	NUM
ejpam-5819	559	2	0.2499	0.2499	NUM
ejpam-5819	559	3	-0.0183	-0.0183	NOUN
ejpam-5819	560	1	0.0144	0.0144	NUM
ejpam-5819	560	2	0.2501	0.2501	NUM
ejpam-5819	560	3	0.0183	0.0183	NUM
ejpam-5819	560	4	0.0145	0.0145	NUM
ejpam-5819	560	5	0.2499	0.2499	NUM
ejpam-5819	560	6	-0.0183	-0.0183	NOUN
ejpam-5819	560	7	0.0143	0.0143	NUM
ejpam-5819	560	8	λ4	λ4	NOUN
ejpam-5819	560	9	=	=	PUNCT
ejpam-5819	561	1	−0.15	−0.15	NOUN
ejpam-5819	561	2	-0.1499	-0.1499	NOUN
ejpam-5819	561	3	0.0183	0.0183	NUM
ejpam-5819	561	4	0.0086	0.0086	NUM
ejpam-5819	561	5	-0.1500	-0.1500	NOUN
ejpam-5819	561	6	0.0000	0.0000	NUM
ejpam-5819	561	7	0.0086	0.0086	NUM
ejpam-5819	561	8	-0.1501	-0.1501	NOUN
ejpam-5819	561	9	-0.0183	-0.0183	PUNCT
ejpam-5819	562	1	0.0087	0.0087	NUM
ejpam-5819	562	2	-0.1500	-0.1500	NOUN
ejpam-5819	562	3	0.0000	0.0000	NUM
ejpam-5819	562	4	0.0086	0.0086	NUM
ejpam-5819	562	5	λ5	λ5	NOUN
ejpam-5819	562	6	=	=	NUM
ejpam-5819	562	7	0.15	0.15	NUM
ejpam-5819	562	8	0.1500	0.1500	NUM
ejpam-5819	562	9	0.0000	0.0000	NUM
ejpam-5819	562	10	0.0087	0.0087	NUM
ejpam-5819	562	11	0.1501	0.1501	NUM
ejpam-5819	562	12	0.0183	0.0183	NUM
ejpam-5819	562	13	0.0087	0.0087	NUM
ejpam-5819	562	14	0.1501	0.1501	NUM
ejpam-5819	562	15	0.0366	0.0366	NUM
ejpam-5819	562	16	0.008	0.008	NUM
ejpam-5819	562	17	0.1501	0.1501	NUM
ejpam-5819	562	18	0.0183	0.0183	NUM
ejpam-5819	562	19	0.0086	0.0086	NUM
ejpam-5819	562	20	n=20	n=20	NOUN
ejpam-5819	562	21	n=50	n=50	PROPN
ejpam-5819	562	22	n=100	n=100	NUM
ejpam-5819	562	23	n=200	n=200	PROPN
ejpam-5819	563	1	parameters	parameter	NOUN
ejpam-5819	563	2	estimates	estimate	VERB
ejpam-5819	563	3	bias	bias	PROPN
ejpam-5819	563	4	mse	mse	PROPN
ejpam-5819	563	5	estimates	estimate	NOUN
ejpam-5819	563	6	bias	bias	PROPN
ejpam-5819	563	7	mse	mse	PROPN
ejpam-5819	563	8	estimates	estimate	NOUN
ejpam-5819	563	9	bias	bias	PROPN
ejpam-5819	563	10	mse	mse	PROPN
ejpam-5819	563	11	estimates	estimate	NOUN
ejpam-5819	563	12	bias	bias	PROPN
ejpam-5819	563	13	mse	mse	NOUN
ejpam-5819	563	14	a1	a1	NOUN
ejpam-5819	563	15	=	=	NOUN
ejpam-5819	563	16	3.0	3.0	NUM
ejpam-5819	563	17	3.0001	3.0001	NUM
ejpam-5819	563	18	0.0183	0.0183	NUM
ejpam-5819	563	19	0.0119	0.0119	NUM
ejpam-5819	563	20	3.0000	3.0000	NUM
ejpam-5819	563	21	0.0000	0.0000	NUM
ejpam-5819	563	22	0.0144	0.0144	NUM
ejpam-5819	563	23	3.0001	3.0001	NUM
ejpam-5819	563	24	0.0183	0.0183	NUM
ejpam-5819	563	25	0.0072	0.0072	NUM
ejpam-5819	563	26	3.0001	3.0001	NUM
ejpam-5819	563	27	0.0183	0.0183	NUM
ejpam-5819	563	28	0.0072	0.0072	NUM
ejpam-5819	563	29	a2	a2	NOUN
ejpam-5819	563	30	=	=	PUNCT
ejpam-5819	563	31	2.0	2.0	NUM
ejpam-5819	563	32	2.0000	2.0000	NUM
ejpam-5819	563	33	0.000	0.000	NUM
ejpam-5819	563	34	0.0099	0.0099	NUM
ejpam-5819	563	35	2.0000	2.0000	NUM
ejpam-5819	563	36	0.0000	0.0000	NUM
ejpam-5819	563	37	0.0088	0.0088	NUM
ejpam-5819	563	38	1.9999	1.9999	NUM
ejpam-5819	563	39	-0.0183	-0.0183	NOUN
ejpam-5819	563	40	0.0128	0.0128	NUM
ejpam-5819	563	41	2.0002	2.0002	NUM
ejpam-5819	563	42	0.0366	0.0366	NUM
ejpam-5819	563	43	0.0107	0.0107	NUM
ejpam-5819	563	44	b1	b1	NOUN
ejpam-5819	563	45	=	=	PUNCT
ejpam-5819	563	46	1.0	1.0	NUM
ejpam-5819	563	47	0.9999	0.9999	NUM
ejpam-5819	563	48	-0.0183	-0.0183	NOUN
ejpam-5819	563	49	0.0074	0.0074	NUM
ejpam-5819	563	50	1.0001	1.0001	NUM
ejpam-5819	563	51	0.0183	0.0183	NUM
ejpam-5819	563	52	0.0115	0.0115	NUM
ejpam-5819	563	53	1.0000	1.0000	NUM
ejpam-5819	563	54	0.0000	0.0000	NUM
ejpam-5819	563	55	0.0124	0.0124	NUM
ejpam-5819	563	56	1.0001	1.0001	NUM
ejpam-5819	563	57	0.0183	0.0183	NUM
ejpam-5819	563	58	0.0087	0.0087	NUM
ejpam-5819	563	59	b2	b2	NOUN
ejpam-5819	563	60	=	=	NOUN
ejpam-5819	563	61	1.5	1.5	NUM
ejpam-5819	563	62	1.5000	1.5000	NUM
ejpam-5819	563	63	0.0000	0.0000	NUM
ejpam-5819	563	64	0.0076	0.0076	NUM
ejpam-5819	563	65	1.5000	1.5000	NUM
ejpam-5819	563	66	0.0000	0.0000	NUM
ejpam-5819	563	67	0.0106	0.0106	NUM
ejpam-5819	563	68	1.4999	1.4999	NUM
ejpam-5819	563	69	-0.0183	-0.0183	NOUN
ejpam-5819	564	1	0.0137	0.0137	NUM
ejpam-5819	564	2	1.4999	1.4999	NUM
ejpam-5819	564	3	-0.0183	-0.0183	NOUN
ejpam-5819	564	4	0.0113	0.0113	NUM
ejpam-5819	564	5	λ1	λ1	NOUN
ejpam-5819	564	6	=	=	NOUN
ejpam-5819	565	1	0.01	0.01	NUM
ejpam-5819	565	2	0.0100	0.0100	NUM
ejpam-5819	565	3	0.0000	0.0000	NUM
ejpam-5819	565	4	0.0006	0.0006	NUM
ejpam-5819	565	5	0.0100	0.0100	NUM
ejpam-5819	565	6	0.0000	0.0000	NUM
ejpam-5819	565	7	0.0006	0.0006	NUM
ejpam-5819	565	8	0.0100	0.0100	NUM
ejpam-5819	565	9	0.0000	0.0000	NUM
ejpam-5819	565	10	0.0006	0.0006	NUM
ejpam-5819	565	11	0.0100	0.0100	NUM
ejpam-5819	565	12	0.0000	0.0000	NUM
ejpam-5819	565	13	0.0006	0.0006	NUM
ejpam-5819	565	14	λ2	λ2	NOUN
ejpam-5819	565	15	=	=	NOUN
ejpam-5819	565	16	0.04	0.04	NUM
ejpam-5819	565	17	0.0400	0.0400	NUM
ejpam-5819	565	18	0.0000	0.0000	NUM
ejpam-5819	565	19	0.0023	0.0023	NUM
ejpam-5819	565	20	0.0400	0.0400	NUM
ejpam-5819	565	21	0.0000	0.0000	NUM
ejpam-5819	565	22	0.0023	0.0023	NUM
ejpam-5819	565	23	0.0400	0.0400	NUM
ejpam-5819	565	24	0.0000	0.0000	NUM
ejpam-5819	565	25	0.0023	0.0023	NUM
ejpam-5819	565	26	0.0400	0.0400	NUM
ejpam-5819	565	27	0.0000	0.0000	NUM
ejpam-5819	565	28	0.0023	0.0023	NUM
ejpam-5819	565	29	λ3	λ3	PROPN
ejpam-5819	565	30	=	=	PROPN
ejpam-5819	565	31	0.05	0.05	NUM
ejpam-5819	565	32	0.0500	0.0500	NUM
ejpam-5819	565	33	0.0000	0.0000	NUM
ejpam-5819	565	34	0.0029	0.0029	NUM
ejpam-5819	565	35	0.0500	0.0500	NUM
ejpam-5819	565	36	0.0000	0.0000	NUM
ejpam-5819	565	37	0.0029	0.0029	NUM
ejpam-5819	565	38	0.0500	0.0500	NUM
ejpam-5819	565	39	0.0000	0.0000	NUM
ejpam-5819	565	40	0.0029	0.0029	NUM
ejpam-5819	565	41	0.0500	0.0500	NUM
ejpam-5819	565	42	0.0000	0.0000	NUM
ejpam-5819	565	43	0.0029	0.0029	NUM
ejpam-5819	565	44	λ4	λ4	NOUN
ejpam-5819	565	45	=	=	PROPN
ejpam-5819	566	1	−0.25	−0.25	NOUN
ejpam-5819	566	2	-0.2499	-0.2499	NOUN
ejpam-5819	566	3	0.018	0.018	NUM
ejpam-5819	566	4	0.0144	0.0144	NUM
ejpam-5819	566	5	-0.2501	-0.2501	PUNCT
ejpam-5819	566	6	-0.0183	-0.0183	PUNCT
ejpam-5819	567	1	0.0144	0.0144	NUM
ejpam-5819	567	2	-0.2499	-0.2499	NOUN
ejpam-5819	567	3	0.0183	0.0183	NUM
ejpam-5819	567	4	0.0144	0.0144	NUM
ejpam-5819	567	5	-0.2503	-0.2503	ADJ
ejpam-5819	567	6	-0.0549	-0.0549	NOUN
ejpam-5819	568	1	0.0145	0.0145	NUM
ejpam-5819	568	2	λ5	λ5	NOUN
ejpam-5819	568	3	=	=	PUNCT
ejpam-5819	568	4	0.03	0.03	NUM
ejpam-5819	568	5	0.0300	0.0300	NUM
ejpam-5819	568	6	0.0000	0.0000	NUM
ejpam-5819	568	7	0.0017	0.0017	NUM
ejpam-5819	568	8	0.0300	0.0300	NUM
ejpam-5819	568	9	0.0000	0.0000	NUM
ejpam-5819	568	10	0.0017	0.0017	NUM
ejpam-5819	568	11	0.0300	0.0300	NUM
ejpam-5819	568	12	0.0000	0.0000	NUM
ejpam-5819	568	13	0.0017	0.0017	NUM
ejpam-5819	568	14	0.0300	0.0300	NUM
ejpam-5819	568	15	0.0000	0.0000	NUM
ejpam-5819	568	16	0.0017	0.0017	NUM
ejpam-5819	568	17	a.	a.	NOUN
ejpam-5819	568	18	a.	a.	NOUN
ejpam-5819	568	19	alsalafi	alsalafi	PROPN
ejpam-5819	568	20	,	,	PUNCT
ejpam-5819	568	21	s.	s.	PROPN
ejpam-5819	568	22	h.	h.	PROPN
ejpam-5819	568	23	shahbaz	shahbaz	PROPN
ejpam-5819	568	24	,	,	PUNCT
ejpam-5819	568	25	l.	l.	PROPN
ejpam-5819	568	26	i.	i.	PROPN
ejpam-5819	568	27	al	al	PROPN
ejpam-5819	568	28	-	-	PUNCT
ejpam-5819	568	29	turk	turk	PROPN
ejpam-5819	568	30	/	/	SYM
ejpam-5819	568	31	eur	eur	PROPN
ejpam-5819	568	32	.	.	PUNCT
ejpam-5819	569	1	j.	j.	PROPN
ejpam-5819	569	2	pure	pure	PROPN
ejpam-5819	569	3	appl	appl	PROPN
ejpam-5819	569	4	.	.	PROPN
ejpam-5819	569	5	math	math	PROPN
ejpam-5819	569	6	,	,	PUNCT
ejpam-5819	569	7	18	18	NUM
ejpam-5819	569	8	(	(	PUNCT
ejpam-5819	569	9	2	2	NUM
ejpam-5819	569	10	)	)	PUNCT
ejpam-5819	569	11	(	(	PUNCT
ejpam-5819	569	12	2025	2025	NUM
ejpam-5819	569	13	)	)	PUNCT
ejpam-5819	569	14	,	,	PUNCT
ejpam-5819	569	15	5819	5819	NUM
ejpam-5819	569	16	25	25	NUM
ejpam-5819	569	17	of	of	ADP
ejpam-5819	569	18	28	28	NUM
ejpam-5819	569	19	9.2	9.2	NUM
ejpam-5819	569	20	.	.	PUNCT
ejpam-5819	570	1	real	real	ADJ
ejpam-5819	570	2	data	datum	NOUN
ejpam-5819	570	3	applications	application	NOUN
ejpam-5819	570	4	in	in	ADP
ejpam-5819	570	5	the	the	DET
ejpam-5819	570	6	following	following	NOUN
ejpam-5819	570	7	,	,	PUNCT
ejpam-5819	570	8	the	the	DET
ejpam-5819	570	9	bctb	bctb	NOUN
ejpam-5819	570	10	distribution	distribution	NOUN
ejpam-5819	570	11	is	be	AUX
ejpam-5819	570	12	applied	apply	VERB
ejpam-5819	570	13	to	to	PART
ejpam-5819	570	14	model	model	VERB
ejpam-5819	570	15	a	a	DET
ejpam-5819	570	16	real	real	ADJ
ejpam-5819	570	17	data	datum	NOUN
ejpam-5819	570	18	set	set	VERB
ejpam-5819	570	19	.	.	PUNCT
ejpam-5819	571	1	the	the	DET
ejpam-5819	571	2	data	datum	NOUN
ejpam-5819	571	3	set	set	VERB
ejpam-5819	571	4	is	be	AUX
ejpam-5819	571	5	analyzed	analyze	VERB
ejpam-5819	571	6	using	use	VERB
ejpam-5819	571	7	the	the	DET
ejpam-5819	571	8	proposed	propose	VERB
ejpam-5819	571	9	bctb	bctb	NOUN
ejpam-5819	571	10	distribution	distribution	NOUN
ejpam-5819	571	11	along	along	ADP
ejpam-5819	571	12	with	with	ADP
ejpam-5819	571	13	several	several	ADJ
ejpam-5819	571	14	other	other	ADJ
ejpam-5819	571	15	distributions	distribution	NOUN
ejpam-5819	571	16	.	.	PUNCT
ejpam-5819	572	1	the	the	DET
ejpam-5819	572	2	“	"	PUNCT
ejpam-5819	572	3	bbmle	bbmle	NOUN
ejpam-5819	572	4	”	"	PUNCT
ejpam-5819	572	5	r	r	NOUN
ejpam-5819	572	6	package	package	NOUN
ejpam-5819	572	7	is	be	AUX
ejpam-5819	572	8	used	use	VERB
ejpam-5819	572	9	for	for	ADP
ejpam-5819	572	10	most	most	ADJ
ejpam-5819	572	11	numerical	numerical	ADJ
ejpam-5819	572	12	computations	computation	NOUN
ejpam-5819	572	13	.	.	PUNCT
ejpam-5819	573	1	to	to	PART
ejpam-5819	573	2	perform	perform	VERB
ejpam-5819	573	3	a	a	DET
ejpam-5819	573	4	comparative	comparative	ADJ
ejpam-5819	573	5	analysis	analysis	NOUN
ejpam-5819	573	6	among	among	ADP
ejpam-5819	573	7	the	the	DET
ejpam-5819	573	8	suggested	suggest	VERB
ejpam-5819	573	9	models	model	NOUN
ejpam-5819	573	10	and	and	CCONJ
ejpam-5819	573	11	to	to	PART
ejpam-5819	573	12	evaluate	evaluate	VERB
ejpam-5819	573	13	the	the	DET
ejpam-5819	573	14	goodness	goodness	NOUN
ejpam-5819	573	15	of	of	ADP
ejpam-5819	573	16	fit	fit	PROPN
ejpam-5819	573	17	,	,	PUNCT
ejpam-5819	573	18	we	we	PRON
ejpam-5819	573	19	compute	compute	VERB
ejpam-5819	573	20	aic	aic	PROPN
ejpam-5819	573	21	(	(	PUNCT
ejpam-5819	573	22	akaike	akaike	ADJ
ejpam-5819	573	23	information	information	NOUN
ejpam-5819	573	24	criterion	criterion	NOUN
ejpam-5819	573	25	)	)	PUNCT
ejpam-5819	573	26	and	and	CCONJ
ejpam-5819	573	27	bic	bic	PROPN
ejpam-5819	573	28	(	(	PUNCT
ejpam-5819	573	29	bayesian	bayesian	NOUN
ejpam-5819	573	30	information	information	NOUN
ejpam-5819	573	31	criterion	criterion	NOUN
ejpam-5819	573	32	)	)	PUNCT
ejpam-5819	573	33	.	.	PUNCT
ejpam-5819	574	1	recall	recall	VERB
ejpam-5819	574	2	that	that	SCONJ
ejpam-5819	574	3	smaller	small	ADJ
ejpam-5819	574	4	values	value	NOUN
ejpam-5819	574	5	of	of	ADP
ejpam-5819	574	6	these	these	DET
ejpam-5819	574	7	selection	selection	NOUN
ejpam-5819	574	8	criteria	criterion	NOUN
ejpam-5819	574	9	indicate	indicate	VERB
ejpam-5819	574	10	better	well	ADJ
ejpam-5819	574	11	goodness	goodness	NOUN
ejpam-5819	574	12	-	-	PUNCT
ejpam-5819	574	13	of	of	ADP
ejpam-5819	574	14	-	-	PUNCT
ejpam-5819	574	15	fit	fit	NOUN
ejpam-5819	574	16	for	for	ADP
ejpam-5819	574	17	the	the	DET
ejpam-5819	574	18	distribution	distribution	NOUN
ejpam-5819	574	19	.	.	PUNCT
ejpam-5819	575	1	we	we	PRON
ejpam-5819	575	2	have	have	AUX
ejpam-5819	575	3	applied	apply	VERB
ejpam-5819	575	4	the	the	DET
ejpam-5819	575	5	bctb	bctb	NOUN
ejpam-5819	575	6	distribution	distribution	NOUN
ejpam-5819	575	7	to	to	PART
ejpam-5819	575	8	model	model	VERB
ejpam-5819	575	9	a	a	DET
ejpam-5819	575	10	real	real	ADJ
ejpam-5819	575	11	data	datum	NOUN
ejpam-5819	575	12	set	set	VERB
ejpam-5819	575	13	.	.	PUNCT
ejpam-5819	576	1	the	the	DET
ejpam-5819	576	2	data	datum	NOUN
ejpam-5819	576	3	were	be	AUX
ejpam-5819	576	4	modeled	model	VERB
ejpam-5819	576	5	using	use	VERB
ejpam-5819	576	6	the	the	DET
ejpam-5819	576	7	bctb	bctb	NOUN
ejpam-5819	576	8	distribution	distribution	NOUN
ejpam-5819	576	9	proposed	propose	VERB
ejpam-5819	576	10	for	for	ADP
ejpam-5819	576	11	the	the	DET
ejpam-5819	576	12	other	other	ADJ
ejpam-5819	576	13	distributions	distribution	NOUN
ejpam-5819	576	14	.	.	PUNCT
ejpam-5819	577	1	the	the	DET
ejpam-5819	577	2	other	other	ADJ
ejpam-5819	577	3	distributions	distribution	NOUN
ejpam-5819	577	4	that	that	PRON
ejpam-5819	577	5	we	we	PRON
ejpam-5819	577	6	have	have	AUX
ejpam-5819	577	7	used	use	VERB
ejpam-5819	577	8	in	in	ADP
ejpam-5819	577	9	the	the	DET
ejpam-5819	577	10	study	study	NOUN
ejpam-5819	577	11	are	be	AUX
ejpam-5819	577	12	the	the	DET
ejpam-5819	577	13	bivariate	bivariate	ADJ
ejpam-5819	577	14	burr	burr	NOUN
ejpam-5819	577	15	(	(	PUNCT
ejpam-5819	577	16	bb	bb	NOUN
ejpam-5819	577	17	)	)	PUNCT
ejpam-5819	577	18	distribution	distribution	NOUN
ejpam-5819	577	19	by	by	ADP
ejpam-5819	577	20	[	[	X
ejpam-5819	577	21	16	16	NUM
ejpam-5819	577	22	]	]	PUNCT
ejpam-5819	577	23	,	,	PUNCT
ejpam-5819	577	24	the	the	DET
ejpam-5819	577	25	gumbel	gumbel	PROPN
ejpam-5819	577	26	bivariate	bivariate	ADJ
ejpam-5819	577	27	burr	burr	NOUN
ejpam-5819	577	28	(	(	PUNCT
ejpam-5819	577	29	gbb	gbb	PROPN
ejpam-5819	577	30	)	)	PUNCT
ejpam-5819	577	31	and	and	CCONJ
ejpam-5819	577	32	the	the	DET
ejpam-5819	577	33	bivariate	bivariate	ADJ
ejpam-5819	577	34	transmuted	transmuted	ADJ
ejpam-5819	577	35	burr	burr	NOUN
ejpam-5819	577	36	(	(	PUNCT
ejpam-5819	577	37	btb	btb	NOUN
ejpam-5819	577	38	)	)	PUNCT
ejpam-5819	577	39	distribution	distribution	NOUN
ejpam-5819	577	40	by	by	ADP
ejpam-5819	577	41	[	[	X
ejpam-5819	577	42	13	13	NUM
ejpam-5819	577	43	]	]	PUNCT
ejpam-5819	577	44	.	.	PUNCT
ejpam-5819	578	1	to	to	PART
ejpam-5819	578	2	check	check	VERB
ejpam-5819	578	3	the	the	DET
ejpam-5819	578	4	applicability	applicability	NOUN
ejpam-5819	578	5	,	,	PUNCT
ejpam-5819	578	6	real	real	ADJ
ejpam-5819	578	7	-	-	PUNCT
ejpam-5819	578	8	life	life	NOUN
ejpam-5819	578	9	application	application	NOUN
ejpam-5819	578	10	have	have	AUX
ejpam-5819	578	11	been	be	AUX
ejpam-5819	578	12	conducted	conduct	VERB
ejpam-5819	578	13	for	for	ADP
ejpam-5819	578	14	the	the	DET
ejpam-5819	578	15	proposed	propose	VERB
ejpam-5819	578	16	bctb	bctb	NOUN
ejpam-5819	578	17	distribution	distribution	NOUN
ejpam-5819	578	18	,	,	PUNCT
ejpam-5819	578	19	which	which	PRON
ejpam-5819	578	20	are	be	AUX
ejpam-5819	578	21	described	describe	VERB
ejpam-5819	578	22	by	by	ADP
ejpam-5819	578	23	the	the	DET
ejpam-5819	578	24	following	follow	VERB
ejpam-5819	578	25	data	datum	NOUN
ejpam-5819	578	26	set	set	VERB
ejpam-5819	578	27	.	.	PUNCT
ejpam-5819	579	1	a	a	DET
ejpam-5819	579	2	data	datum	NOUN
ejpam-5819	579	3	set	set	VERB
ejpam-5819	579	4	with	with	ADP
ejpam-5819	579	5	gni	gni	NOUN
ejpam-5819	579	6	for	for	ADP
ejpam-5819	579	7	all	all	DET
ejpam-5819	579	8	countries	country	NOUN
ejpam-5819	579	9	from	from	ADP
ejpam-5819	579	10	2016	2016	NUM
ejpam-5819	579	11	(	(	PUNCT
ejpam-5819	579	12	x	x	NOUN
ejpam-5819	579	13	)	)	PUNCT
ejpam-5819	579	14	and	and	CCONJ
ejpam-5819	579	15	2017	2017	NUM
ejpam-5819	579	16	(	(	PUNCT
ejpam-5819	579	17	y	y	NOUN
ejpam-5819	579	18	)	)	PUNCT
ejpam-5819	579	19	is	be	AUX
ejpam-5819	579	20	useful	useful	ADJ
ejpam-5819	579	21	for	for	ADP
ejpam-5819	579	22	analyzing	analyze	VERB
ejpam-5819	579	23	economic	economic	ADJ
ejpam-5819	579	24	growth	growth	NOUN
ejpam-5819	579	25	trends	trend	NOUN
ejpam-5819	579	26	,	,	PUNCT
ejpam-5819	579	27	understanding	understanding	NOUN
ejpam-5819	579	28	disparities	disparity	NOUN
ejpam-5819	579	29	,	,	PUNCT
ejpam-5819	579	30	and	and	CCONJ
ejpam-5819	579	31	conducting	conduct	VERB
ejpam-5819	579	32	cross	cross	ADJ
ejpam-5819	579	33	-	-	ADJ
ejpam-5819	579	34	country	country	ADJ
ejpam-5819	579	35	comparisons	comparison	NOUN
ejpam-5819	579	36	.	.	PUNCT
ejpam-5819	580	1	table	table	NOUN
ejpam-5819	580	2	(	(	PUNCT
ejpam-5819	580	3	2	2	X
ejpam-5819	580	4	)	)	PUNCT
ejpam-5819	580	5	gives	give	VERB
ejpam-5819	580	6	some	some	DET
ejpam-5819	580	7	descriptive	descriptive	ADJ
ejpam-5819	580	8	statistics	statistic	NOUN
ejpam-5819	580	9	of	of	ADP
ejpam-5819	580	10	the	the	DET
ejpam-5819	580	11	data	datum	NOUN
ejpam-5819	580	12	.	.	PUNCT
ejpam-5819	581	1	table	table	NOUN
ejpam-5819	581	2	2	2	NUM
ejpam-5819	581	3	:	:	PUNCT
ejpam-5819	581	4	summary	summary	NOUN
ejpam-5819	581	5	statistics	statistic	NOUN
ejpam-5819	581	6	for	for	ADP
ejpam-5819	581	7	dataset	dataset	PROPN
ejpam-5819	581	8	min	min	PROPN
ejpam-5819	581	9	.	.	PROPN
ejpam-5819	581	10	q1	q1	PROPN
ejpam-5819	581	11	median	median	PROPN
ejpam-5819	581	12	mean	mean	PROPN
ejpam-5819	581	13	q3	q3	PROPN
ejpam-5819	581	14	max	max	PROPN
ejpam-5819	581	15	.	.	PUNCT
ejpam-5819	582	1	x	x	PUNCT
ejpam-5819	582	2	0.0644	0.0644	NUM
ejpam-5819	582	3	0.3839	0.3839	NUM
ejpam-5819	582	4	1.1118	1.1118	NUM
ejpam-5819	582	5	1.773906	1.773906	NUM
ejpam-5819	582	6	2.43105	2.43105	NUM
ejpam-5819	582	7	11.8088	11.8088	NUM
ejpam-5819	582	8	y	y	NOUN
ejpam-5819	582	9	0.0663	0.0663	NUM
ejpam-5819	582	10	0.39695	0.39695	NUM
ejpam-5819	582	11	1.11	1.11	NUM
ejpam-5819	582	12	1.798834	1.798834	NUM
ejpam-5819	582	13	2.51975	2.51975	NUM
ejpam-5819	582	14	11.6818	11.6818	NUM
ejpam-5819	582	15	the	the	DET
ejpam-5819	582	16	results	result	NOUN
ejpam-5819	582	17	of	of	ADP
ejpam-5819	582	18	mle	mle	PROPN
ejpam-5819	582	19	and	and	CCONJ
ejpam-5819	582	20	se	se	PROPN
ejpam-5819	582	21	are	be	AUX
ejpam-5819	582	22	listed	list	VERB
ejpam-5819	582	23	in	in	ADP
ejpam-5819	582	24	table	table	NOUN
ejpam-5819	582	25	(	(	PUNCT
ejpam-5819	582	26	3	3	NUM
ejpam-5819	582	27	)	)	PUNCT
ejpam-5819	582	28	for	for	ADP
ejpam-5819	582	29	the	the	DET
ejpam-5819	582	30	bctb	bctb	NOUN
ejpam-5819	582	31	distribution	distribution	NOUN
ejpam-5819	582	32	and	and	CCONJ
ejpam-5819	582	33	the	the	DET
ejpam-5819	582	34	btb	btb	NOUN
ejpam-5819	582	35	distribution	distribution	NOUN
ejpam-5819	582	36	.	.	PUNCT
ejpam-5819	583	1	from	from	ADP
ejpam-5819	583	2	table	table	NOUN
ejpam-5819	583	3	(	(	PUNCT
ejpam-5819	583	4	4	4	NUM
ejpam-5819	583	5	)	)	PUNCT
ejpam-5819	583	6	,	,	PUNCT
ejpam-5819	583	7	we	we	PRON
ejpam-5819	583	8	can	can	AUX
ejpam-5819	583	9	see	see	VERB
ejpam-5819	583	10	that	that	SCONJ
ejpam-5819	583	11	the	the	DET
ejpam-5819	583	12	proposed	propose	VERB
ejpam-5819	583	13	bctb	bctb	NOUN
ejpam-5819	583	14	distribution	distribution	NOUN
ejpam-5819	583	15	has	have	VERB
ejpam-5819	583	16	the	the	DET
ejpam-5819	583	17	smallest	small	ADJ
ejpam-5819	583	18	aic	aic	PROPN
ejpam-5819	583	19	and	and	CCONJ
ejpam-5819	583	20	bic	bic	PROPN
ejpam-5819	583	21	values	value	NOUN
ejpam-5819	583	22	,	,	PUNCT
ejpam-5819	583	23	and	and	CCONJ
ejpam-5819	583	24	therefore	therefore	ADV
ejpam-5819	583	25	is	be	AUX
ejpam-5819	583	26	considered	consider	VERB
ejpam-5819	583	27	the	the	DET
ejpam-5819	583	28	best	good	ADJ
ejpam-5819	583	29	fit	fit	NOUN
ejpam-5819	583	30	for	for	ADP
ejpam-5819	583	31	the	the	DET
ejpam-5819	583	32	data	datum	NOUN
ejpam-5819	583	33	based	base	VERB
ejpam-5819	583	34	on	on	ADP
ejpam-5819	583	35	goodness	goodness	NOUN
ejpam-5819	583	36	-	-	PUNCT
ejpam-5819	583	37	of	of	ADP
ejpam-5819	583	38	-	-	PUNCT
ejpam-5819	583	39	fit	fit	NOUN
ejpam-5819	583	40	criteria	criterion	NOUN
ejpam-5819	583	41	.	.	PUNCT
ejpam-5819	584	1	a.	a.	NOUN
ejpam-5819	584	2	a.	a.	PROPN
ejpam-5819	584	3	alsalafi	alsalafi	PROPN
ejpam-5819	584	4	,	,	PUNCT
ejpam-5819	584	5	s.	s.	PROPN
ejpam-5819	584	6	h.	h.	PROPN
ejpam-5819	584	7	shahbaz	shahbaz	PROPN
ejpam-5819	584	8	,	,	PUNCT
ejpam-5819	584	9	l.	l.	PROPN
ejpam-5819	584	10	i.	i.	PROPN
ejpam-5819	584	11	al	al	PROPN
ejpam-5819	584	12	-	-	PUNCT
ejpam-5819	584	13	turk	turk	PROPN
ejpam-5819	584	14	/	/	SYM
ejpam-5819	584	15	eur	eur	PROPN
ejpam-5819	584	16	.	.	PUNCT
ejpam-5819	585	1	j.	j.	PROPN
ejpam-5819	585	2	pure	pure	PROPN
ejpam-5819	585	3	appl	appl	PROPN
ejpam-5819	585	4	.	.	PROPN
ejpam-5819	585	5	math	math	PROPN
ejpam-5819	585	6	,	,	PUNCT
ejpam-5819	585	7	18	18	NUM
ejpam-5819	585	8	(	(	PUNCT
ejpam-5819	585	9	2	2	NUM
ejpam-5819	585	10	)	)	PUNCT
ejpam-5819	585	11	(	(	PUNCT
ejpam-5819	585	12	2025	2025	NUM
ejpam-5819	585	13	)	)	PUNCT
ejpam-5819	585	14	,	,	PUNCT
ejpam-5819	585	15	5819	5819	NUM
ejpam-5819	585	16	26	26	NUM
ejpam-5819	585	17	of	of	ADP
ejpam-5819	585	18	28	28	NUM
ejpam-5819	585	19	table	table	NOUN
ejpam-5819	585	20	3	3	NUM
ejpam-5819	585	21	:	:	PUNCT
ejpam-5819	585	22	mles	mle	NOUN
ejpam-5819	585	23	and	and	CCONJ
ejpam-5819	585	24	ses	se	NOUN
ejpam-5819	585	25	for	for	ADP
ejpam-5819	585	26	selected	select	VERB
ejpam-5819	585	27	distribution	distribution	NOUN
ejpam-5819	585	28	distribution	distribution	NOUN
ejpam-5819	585	29	parameter	parameter	NOUN
ejpam-5819	585	30	estimate	estimate	NOUN
ejpam-5819	585	31	se	se	INTJ
ejpam-5819	585	32	bctb	bctb	VERB
ejpam-5819	585	33	a1	a1	NOUN
ejpam-5819	585	34	1.862	1.862	NUM
ejpam-5819	585	35	0.04113	0.04113	NUM
ejpam-5819	585	36	a2	a2	NOUN
ejpam-5819	585	37	1.837	1.837	NUM
ejpam-5819	585	38	0.04218	0.04218	NUM
ejpam-5819	585	39	b1	b1	NOUN
ejpam-5819	585	40	1.811	1.811	NUM
ejpam-5819	585	41	0.03470	0.03470	NUM
ejpam-5819	585	42	b2	b2	NOUN
ejpam-5819	585	43	2.066	2.066	NUM
ejpam-5819	585	44	0.05780	0.05780	NUM
ejpam-5819	585	45	λ1	λ1	ADJ
ejpam-5819	585	46	−0.2454	−0.2454	NOUN
ejpam-5819	585	47	0.06176	0.06176	NUM
ejpam-5819	585	48	λ2	λ2	NOUN
ejpam-5819	585	49	−0.2483	−0.2483	NOUN
ejpam-5819	585	50	0.06157	0.06157	NUM
ejpam-5819	585	51	λ3	λ3	PROPN
ejpam-5819	585	52	0.002906	0.002906	NUM
ejpam-5819	585	53	0.1127	0.1127	NUM
ejpam-5819	585	54	λ4	λ4	PROPN
ejpam-5819	586	1	0.009309	0.009309	NUM
ejpam-5819	586	2	0.09424	0.09424	NUM
ejpam-5819	586	3	λ5	λ5	NOUN
ejpam-5819	586	4	−0.3706	−0.3706	PROPN
ejpam-5819	586	5	0.00001056	0.00001056	NUM
ejpam-5819	586	6	btb	btb	NOUN
ejpam-5819	586	7	k	k	PROPN
ejpam-5819	586	8	9.8129	9.8129	NUM
ejpam-5819	586	9	8.3886	8.3886	NUM
ejpam-5819	586	10	c	c	NOUN
ejpam-5819	586	11	0.8827	0.8827	NUM
ejpam-5819	586	12	8.3886	8.3886	NUM
ejpam-5819	586	13	λ1	λ1	ADJ
ejpam-5819	586	14	-0.1280	-0.1280	NOUN
ejpam-5819	586	15	5.6453	5.6453	NUM
ejpam-5819	586	16	λ2	λ2	NOUN
ejpam-5819	586	17	-0.1280	-0.1280	NOUN
ejpam-5819	586	18	14.5339	14.5339	NUM
ejpam-5819	587	1	λ3	λ3	PROPN
ejpam-5819	587	2	-0.8720	-0.8720	NOUN
ejpam-5819	587	3	8.3886	8.3886	NUM
ejpam-5819	587	4	bb	bb	NOUN
ejpam-5819	587	5	p	p	NOUN
ejpam-5819	587	6	0.04161	0.04161	NUM
ejpam-5819	587	7	0.01231	0.01231	NUM
ejpam-5819	587	8	a1	a1	NOUN
ejpam-5819	587	9	0.009436	0.009436	NUM
ejpam-5819	587	10	0.01974	0.01974	NUM
ejpam-5819	587	11	a2	a2	PROPN
ejpam-5819	587	12	0.0002489	0.0002489	NUM
ejpam-5819	587	13	0.0005095	0.0005095	NUM
ejpam-5819	587	14	b1	b1	NOUN
ejpam-5819	587	15	9.860	9.860	NUM
ejpam-5819	587	16	2.029	2.029	NUM
ejpam-5819	587	17	b2	b2	NOUN
ejpam-5819	587	18	12.88	12.88	NUM
ejpam-5819	587	19	2.649	2.649	NUM
ejpam-5819	587	20	gbb	gbb	NOUN
ejpam-5819	587	21	k1	k1	PROPN
ejpam-5819	587	22	0.00000016335	0.00000016335	NUM
ejpam-5819	587	23	0.0007430	0.0007430	NUM
ejpam-5819	587	24	k2	k2	NOUN
ejpam-5819	587	25	0.0000001892	0.0000001892	NUM
ejpam-5819	587	26	0.0008853	0.0008853	NUM
ejpam-5819	587	27	c1	c1	NOUN
ejpam-5819	587	28	0.07567	0.07567	NUM
ejpam-5819	587	29	0.05968	0.05968	NUM
ejpam-5819	587	30	c2	c2	PROPN
ejpam-5819	587	31	0.06122	0.06122	NUM
ejpam-5819	587	32	0.06796	0.06796	NUM
ejpam-5819	587	33	γ	γ	PROPN
ejpam-5819	587	34	1.000	1.000	NUM
ejpam-5819	587	35	0.2391	0.2391	NUM
ejpam-5819	587	36	table	table	NOUN
ejpam-5819	587	37	4	4	NUM
ejpam-5819	587	38	:	:	PUNCT
ejpam-5819	587	39	selection	selection	NOUN
ejpam-5819	587	40	criteria	criterion	NOUN
ejpam-5819	587	41	for	for	ADP
ejpam-5819	587	42	selected	select	VERB
ejpam-5819	587	43	distributions	distribution	NOUN
ejpam-5819	587	44	distribution	distribution	NOUN
ejpam-5819	587	45	loglik	loglik	NOUN
ejpam-5819	587	46	aic	aic	PROPN
ejpam-5819	587	47	bic	bic	PROPN
ejpam-5819	587	48	bctb	bctb	VERB
ejpam-5819	587	49	5272.72	5272.72	NUM
ejpam-5819	587	50	-10527.44	-10527.44	NOUN
ejpam-5819	587	51	-10498.17	-10498.17	PROPN
ejpam-5819	587	52	btb	btb	ADP
ejpam-5819	587	53	78.8980	78.8980	NUM
ejpam-5819	587	54	-143.7970	-143.7970	PROPN
ejpam-5819	587	55	-175.0395	-175.0395	PROPN
ejpam-5819	588	1	bb	bb	NOUN
ejpam-5819	588	2	-473.7103	-473.7103	NUM
ejpam-5819	588	3	957.4205	957.4205	NUM
ejpam-5819	588	4	968.6631	968.6631	NUM
ejpam-5819	588	5	gbb	gbb	PROPN
ejpam-5819	588	6	48.5202	48.5202	NUM
ejpam-5819	588	7	-87.0404	-87.0404	SYM
ejpam-5819	588	8	-118.2829	-118.2829	NOUN
ejpam-5819	588	9	a.	a.	NOUN
ejpam-5819	588	10	a.	a.	NOUN
ejpam-5819	588	11	alsalafi	alsalafi	PROPN
ejpam-5819	588	12	,	,	PUNCT
ejpam-5819	588	13	s.	s.	PROPN
ejpam-5819	588	14	h.	h.	PROPN
ejpam-5819	588	15	shahbaz	shahbaz	PROPN
ejpam-5819	588	16	,	,	PUNCT
ejpam-5819	588	17	l.	l.	PROPN
ejpam-5819	588	18	i.	i.	PROPN
ejpam-5819	588	19	al	al	PROPN
ejpam-5819	588	20	-	-	PUNCT
ejpam-5819	588	21	turk	turk	PROPN
ejpam-5819	588	22	/	/	SYM
ejpam-5819	588	23	eur	eur	PROPN
ejpam-5819	588	24	.	.	PUNCT
ejpam-5819	589	1	j.	j.	PROPN
ejpam-5819	589	2	pure	pure	PROPN
ejpam-5819	589	3	appl	appl	PROPN
ejpam-5819	589	4	.	.	PROPN
ejpam-5819	589	5	math	math	PROPN
ejpam-5819	589	6	,	,	PUNCT
ejpam-5819	589	7	18	18	NUM
ejpam-5819	589	8	(	(	PUNCT
ejpam-5819	589	9	2	2	NUM
ejpam-5819	589	10	)	)	PUNCT
ejpam-5819	589	11	(	(	PUNCT
ejpam-5819	589	12	2025	2025	NUM
ejpam-5819	589	13	)	)	PUNCT
ejpam-5819	589	14	,	,	PUNCT
ejpam-5819	589	15	5819	5819	NUM
ejpam-5819	589	16	27	27	NUM
ejpam-5819	589	17	of	of	ADP
ejpam-5819	589	18	28	28	NUM
ejpam-5819	589	19	10	10	NUM
ejpam-5819	589	20	.	.	PUNCT
ejpam-5819	590	1	conclusions	conclusion	NOUN
ejpam-5819	590	2	in	in	ADP
ejpam-5819	590	3	this	this	DET
ejpam-5819	590	4	paper	paper	NOUN
ejpam-5819	590	5	,	,	PUNCT
ejpam-5819	590	6	we	we	PRON
ejpam-5819	590	7	construct	construct	VERB
ejpam-5819	590	8	a	a	DET
ejpam-5819	590	9	novel	novel	ADJ
ejpam-5819	590	10	family	family	NOUN
ejpam-5819	590	11	of	of	ADP
ejpam-5819	590	12	distributions	distribution	NOUN
ejpam-5819	590	13	,	,	PUNCT
ejpam-5819	590	14	named	name	VERB
ejpam-5819	590	15	the	the	DET
ejpam-5819	590	16	bivariate	bivariate	ADJ
ejpam-5819	590	17	cubic	cubic	ADJ
ejpam-5819	590	18	transmuted	transmute	VERB
ejpam-5819	590	19	(	(	PUNCT
ejpam-5819	590	20	bct	bct	NOUN
ejpam-5819	590	21	)	)	PUNCT
ejpam-5819	590	22	family	family	NOUN
ejpam-5819	590	23	of	of	ADP
ejpam-5819	590	24	distributions	distribution	NOUN
ejpam-5819	590	25	.	.	PUNCT
ejpam-5819	591	1	this	this	DET
ejpam-5819	591	2	family	family	NOUN
ejpam-5819	591	3	introduced	introduce	VERB
ejpam-5819	591	4	a	a	DET
ejpam-5819	591	5	new	new	ADJ
ejpam-5819	591	6	approach	approach	NOUN
ejpam-5819	591	7	to	to	ADP
ejpam-5819	591	8	modeling	modeling	NOUN
ejpam-5819	591	9	and	and	CCONJ
ejpam-5819	591	10	analyzing	analyze	VERB
ejpam-5819	591	11	multivariate	multivariate	NOUN
ejpam-5819	591	12	data	datum	NOUN
ejpam-5819	591	13	with	with	ADP
ejpam-5819	591	14	greater	great	ADJ
ejpam-5819	591	15	flexibility	flexibility	NOUN
ejpam-5819	591	16	and	and	CCONJ
ejpam-5819	591	17	precision	precision	NOUN
ejpam-5819	591	18	.	.	PUNCT
ejpam-5819	592	1	explicit	explicit	ADJ
ejpam-5819	592	2	mathematical	mathematical	ADJ
ejpam-5819	592	3	expressions	expression	NOUN
ejpam-5819	592	4	for	for	ADP
ejpam-5819	592	5	the	the	DET
ejpam-5819	592	6	probability	probability	NOUN
ejpam-5819	592	7	density	density	NOUN
ejpam-5819	592	8	function	function	NOUN
ejpam-5819	592	9	(	(	PUNCT
ejpam-5819	592	10	pdf	pdf	NOUN
ejpam-5819	592	11	)	)	PUNCT
ejpam-5819	592	12	,	,	PUNCT
ejpam-5819	592	13	the	the	DET
ejpam-5819	592	14	cumulative	cumulative	ADJ
ejpam-5819	592	15	distribution	distribution	NOUN
ejpam-5819	592	16	function	function	NOUN
ejpam-5819	592	17	(	(	PUNCT
ejpam-5819	592	18	cdf	cdf	PROPN
ejpam-5819	592	19	)	)	PUNCT
ejpam-5819	592	20	,	,	PUNCT
ejpam-5819	592	21	and	and	CCONJ
ejpam-5819	592	22	key	key	ADJ
ejpam-5819	592	23	statistical	statistical	ADJ
ejpam-5819	592	24	properties	property	NOUN
ejpam-5819	592	25	of	of	ADP
ejpam-5819	592	26	the	the	DET
ejpam-5819	592	27	proposed	propose	VERB
ejpam-5819	592	28	family	family	NOUN
ejpam-5819	592	29	are	be	AUX
ejpam-5819	592	30	rigorously	rigorously	ADV
ejpam-5819	592	31	derived	derive	VERB
ejpam-5819	592	32	.	.	PUNCT
ejpam-5819	593	1	general	general	ADJ
ejpam-5819	593	2	parameter	parameter	NOUN
ejpam-5819	593	3	estimation	estimation	NOUN
ejpam-5819	593	4	techniques	technique	NOUN
ejpam-5819	593	5	for	for	ADP
ejpam-5819	593	6	the	the	DET
ejpam-5819	593	7	bct	bct	PROPN
ejpam-5819	593	8	family	family	NOUN
ejpam-5819	593	9	are	be	AUX
ejpam-5819	593	10	provided	provide	VERB
ejpam-5819	593	11	using	use	VERB
ejpam-5819	593	12	the	the	DET
ejpam-5819	593	13	maximum	maximum	ADJ
ejpam-5819	593	14	likelihood	likelihood	NOUN
ejpam-5819	593	15	estimation	estimation	NOUN
ejpam-5819	593	16	(	(	PUNCT
ejpam-5819	593	17	mle	mle	NOUN
ejpam-5819	593	18	)	)	PUNCT
ejpam-5819	593	19	method	method	NOUN
ejpam-5819	593	20	,	,	PUNCT
ejpam-5819	593	21	ensuring	ensure	VERB
ejpam-5819	593	22	accurate	accurate	ADJ
ejpam-5819	593	23	parameter	parameter	NOUN
ejpam-5819	593	24	inference	inference	NOUN
ejpam-5819	593	25	.	.	PUNCT
ejpam-5819	594	1	as	as	ADP
ejpam-5819	594	2	a	a	DET
ejpam-5819	594	3	specific	specific	ADJ
ejpam-5819	594	4	case	case	NOUN
ejpam-5819	594	5	,	,	PUNCT
ejpam-5819	594	6	we	we	PRON
ejpam-5819	594	7	introduced	introduce	VERB
ejpam-5819	594	8	and	and	CCONJ
ejpam-5819	594	9	thoroughly	thoroughly	ADV
ejpam-5819	594	10	investigated	investigate	VERB
ejpam-5819	594	11	the	the	DET
ejpam-5819	594	12	bivariate	bivariate	ADJ
ejpam-5819	594	13	cubic	cubic	ADJ
ejpam-5819	594	14	transmuted	transmute	VERB
ejpam-5819	594	15	burr	burr	NOUN
ejpam-5819	594	16	(	(	PUNCT
ejpam-5819	594	17	bctb	bctb	NOUN
ejpam-5819	594	18	)	)	PUNCT
ejpam-5819	594	19	distribution	distribution	NOUN
ejpam-5819	594	20	,	,	PUNCT
ejpam-5819	594	21	a	a	DET
ejpam-5819	594	22	member	member	NOUN
ejpam-5819	594	23	of	of	ADP
ejpam-5819	594	24	this	this	DET
ejpam-5819	594	25	family	family	NOUN
ejpam-5819	594	26	.	.	PUNCT
ejpam-5819	595	1	we	we	PRON
ejpam-5819	595	2	established	establish	VERB
ejpam-5819	595	3	and	and	CCONJ
ejpam-5819	595	4	explored	explore	VERB
ejpam-5819	595	5	its	its	PRON
ejpam-5819	595	6	theoretical	theoretical	ADJ
ejpam-5819	595	7	properties	property	NOUN
ejpam-5819	595	8	,	,	PUNCT
ejpam-5819	595	9	including	include	VERB
ejpam-5819	595	10	marginal	marginal	ADJ
ejpam-5819	595	11	distributions	distribution	NOUN
ejpam-5819	595	12	,	,	PUNCT
ejpam-5819	595	13	dependence	dependence	NOUN
ejpam-5819	595	14	structure	structure	NOUN
ejpam-5819	595	15	,	,	PUNCT
ejpam-5819	595	16	and	and	CCONJ
ejpam-5819	595	17	moments	moment	NOUN
ejpam-5819	595	18	.	.	PUNCT
ejpam-5819	596	1	furthermore	furthermore	ADV
ejpam-5819	596	2	,	,	PUNCT
ejpam-5819	596	3	the	the	DET
ejpam-5819	596	4	practical	practical	ADJ
ejpam-5819	596	5	utility	utility	NOUN
ejpam-5819	596	6	of	of	ADP
ejpam-5819	596	7	the	the	DET
ejpam-5819	596	8	bctb	bctb	NOUN
ejpam-5819	596	9	distribution	distribution	NOUN
ejpam-5819	596	10	is	be	AUX
ejpam-5819	596	11	demonstrated	demonstrate	VERB
ejpam-5819	596	12	through	through	ADP
ejpam-5819	596	13	its	its	PRON
ejpam-5819	596	14	application	application	NOUN
ejpam-5819	596	15	to	to	ADP
ejpam-5819	596	16	a	a	DET
ejpam-5819	596	17	real	real	ADJ
ejpam-5819	596	18	dataset	dataset	NOUN
ejpam-5819	596	19	.	.	PUNCT
ejpam-5819	597	1	comparative	comparative	ADJ
ejpam-5819	597	2	analyzes	analyze	NOUN
ejpam-5819	597	3	reveal	reveal	VERB
ejpam-5819	597	4	that	that	SCONJ
ejpam-5819	597	5	the	the	DET
ejpam-5819	597	6	bctb	bctb	NOUN
ejpam-5819	597	7	distribution	distribution	NOUN
ejpam-5819	597	8	offers	offer	VERB
ejpam-5819	597	9	superior	superior	ADJ
ejpam-5819	597	10	fit	fit	ADJ
ejpam-5819	597	11	and	and	CCONJ
ejpam-5819	597	12	performance	performance	NOUN
ejpam-5819	597	13	compared	compare	VERB
ejpam-5819	597	14	to	to	ADP
ejpam-5819	597	15	existing	exist	VERB
ejpam-5819	597	16	models	model	NOUN
ejpam-5819	597	17	,	,	PUNCT
ejpam-5819	597	18	making	make	VERB
ejpam-5819	597	19	it	it	PRON
ejpam-5819	597	20	a	a	DET
ejpam-5819	597	21	robust	robust	ADJ
ejpam-5819	597	22	tool	tool	NOUN
ejpam-5819	597	23	for	for	ADP
ejpam-5819	597	24	modeling	model	VERB
ejpam-5819	597	25	bivariate	bivariate	ADJ
ejpam-5819	597	26	data	datum	NOUN
ejpam-5819	597	27	in	in	ADP
ejpam-5819	597	28	various	various	ADJ
ejpam-5819	597	29	fields	field	NOUN
ejpam-5819	597	30	.	.	PUNCT
ejpam-5819	598	1	references	reference	NOUN
ejpam-5819	598	2	[	[	X
ejpam-5819	598	3	1	1	NUM
ejpam-5819	598	4	]	]	X
ejpam-5819	598	5	ahmad	ahmad	PROPN
ejpam-5819	598	6	alzaghal	alzaghal	PROPN
ejpam-5819	598	7	,	,	PUNCT
ejpam-5819	598	8	felix	felix	PROPN
ejpam-5819	598	9	famoye	famoye	NOUN
ejpam-5819	598	10	,	,	PUNCT
ejpam-5819	598	11	and	and	CCONJ
ejpam-5819	598	12	carl	carl	PROPN
ejpam-5819	598	13	lee	lee	PROPN
ejpam-5819	598	14	.	.	PROPN
ejpam-5819	599	1	exponentiated	exponentiated	PROPN
ejpam-5819	599	2	t	t	PROPN
ejpam-5819	599	3	-	-	PUNCT
ejpam-5819	599	4	x	x	NOUN
ejpam-5819	599	5	family	family	NOUN
ejpam-5819	599	6	of	of	ADP
ejpam-5819	599	7	distributions	distribution	NOUN
ejpam-5819	599	8	with	with	ADP
ejpam-5819	599	9	some	some	DET
ejpam-5819	599	10	applications	application	NOUN
ejpam-5819	599	11	.	.	PUNCT
ejpam-5819	600	1	international	international	ADJ
ejpam-5819	600	2	journal	journal	PROPN
ejpam-5819	600	3	of	of	ADP
ejpam-5819	600	4	statistics	statistic	NOUN
ejpam-5819	600	5	and	and	CCONJ
ejpam-5819	600	6	probability	probability	NOUN
ejpam-5819	600	7	,	,	PUNCT
ejpam-5819	600	8	2(3):31	2(3):31	NUM
ejpam-5819	600	9	,	,	PUNCT
ejpam-5819	600	10	2013	2013	NUM
ejpam-5819	600	11	.	.	PUNCT
ejpam-5819	601	1	[	[	X
ejpam-5819	601	2	2	2	X
ejpam-5819	601	3	]	]	PUNCT
ejpam-5819	601	4	william	william	PROPN
ejpam-5819	601	5	t	t	PROPN
ejpam-5819	601	6	shaw	shaw	PROPN
ejpam-5819	601	7	and	and	CCONJ
ejpam-5819	601	8	ian	ian	PROPN
ejpam-5819	601	9	rc	rc	PROPN
ejpam-5819	601	10	buckley	buckley	NOUN
ejpam-5819	601	11	.	.	PUNCT
ejpam-5819	602	1	the	the	DET
ejpam-5819	602	2	alchemy	alchemy	NOUN
ejpam-5819	602	3	of	of	ADP
ejpam-5819	602	4	probability	probability	NOUN
ejpam-5819	602	5	distributions	distribution	NOUN
ejpam-5819	602	6	:	:	PUNCT
ejpam-5819	602	7	beyond	beyond	ADP
ejpam-5819	602	8	gram	gram	NOUN
ejpam-5819	602	9	-	-	PUNCT
ejpam-5819	602	10	charlier	charlier	NOUN
ejpam-5819	602	11	expansions	expansion	NOUN
ejpam-5819	602	12	,	,	PUNCT
ejpam-5819	602	13	and	and	CCONJ
ejpam-5819	602	14	a	a	DET
ejpam-5819	602	15	skew	skew	ADJ
ejpam-5819	602	16	-	-	PUNCT
ejpam-5819	602	17	kurtotic	kurtotic	ADJ
ejpam-5819	602	18	-	-	PUNCT
ejpam-5819	602	19	normal	normal	ADJ
ejpam-5819	602	20	distribution	distribution	NOUN
ejpam-5819	602	21	from	from	ADP
ejpam-5819	602	22	a	a	DET
ejpam-5819	602	23	rank	rank	NOUN
ejpam-5819	602	24	transmutation	transmutation	NOUN
ejpam-5819	602	25	map	map	NOUN
ejpam-5819	602	26	.	.	PUNCT
ejpam-5819	603	1	arxiv	arxiv	PROPN
ejpam-5819	603	2	preprint	preprint	PROPN
ejpam-5819	603	3	arxiv:0901.0434	arxiv:0901.0434	NOUN
ejpam-5819	603	4	,	,	PUNCT
ejpam-5819	603	5	2009	2009	NUM
ejpam-5819	603	6	.	.	PUNCT
ejpam-5819	604	1	[	[	X
ejpam-5819	604	2	3	3	X
ejpam-5819	604	3	]	]	X
ejpam-5819	604	4	gokarna	gokarna	NOUN
ejpam-5819	604	5	aryal	aryal	NOUN
ejpam-5819	604	6	and	and	CCONJ
ejpam-5819	604	7	chris	chris	PROPN
ejpam-5819	604	8	tsokos	tsokos	PROPN
ejpam-5819	604	9	.	.	PUNCT
ejpam-5819	605	1	transmuted	transmute	VERB
ejpam-5819	605	2	weibull	weibull	NOUN
ejpam-5819	605	3	distribution	distribution	NOUN
ejpam-5819	605	4	:	:	PUNCT
ejpam-5819	605	5	a	a	DET
ejpam-5819	605	6	generalization	generalization	NOUN
ejpam-5819	605	7	of	of	ADP
ejpam-5819	605	8	the	the	DET
ejpam-5819	605	9	weibull	weibull	NOUN
ejpam-5819	605	10	probability	probability	NOUN
ejpam-5819	605	11	distribution	distribution	NOUN
ejpam-5819	605	12	.	.	PUNCT
ejpam-5819	606	1	european	european	ADJ
ejpam-5819	606	2	journal	journal	PROPN
ejpam-5819	606	3	of	of	ADP
ejpam-5819	606	4	pure	pure	ADJ
ejpam-5819	606	5	and	and	CCONJ
ejpam-5819	606	6	applied	applied	ADJ
ejpam-5819	606	7	mathematics	mathematic	NOUN
ejpam-5819	606	8	,	,	PUNCT
ejpam-5819	606	9	4(2):89–102	4(2):89–102	NUM
ejpam-5819	606	10	,	,	PUNCT
ejpam-5819	606	11	2011	2011	NUM
ejpam-5819	606	12	.	.	PUNCT
ejpam-5819	607	1	[	[	X
ejpam-5819	607	2	4	4	NUM
ejpam-5819	607	3	]	]	X
ejpam-5819	607	4	faton	faton	PROPN
ejpam-5819	607	5	merovci	merovci	NOUN
ejpam-5819	607	6	and	and	CCONJ
ejpam-5819	607	7	lukan	lukan	PROPN
ejpam-5819	607	8	puka	puka	PROPN
ejpam-5819	607	9	.	.	PUNCT
ejpam-5819	608	1	transmuted	transmute	VERB
ejpam-5819	608	2	pareto	pareto	ADJ
ejpam-5819	608	3	distribution	distribution	NOUN
ejpam-5819	608	4	.	.	PUNCT
ejpam-5819	609	1	in	in	ADP
ejpam-5819	609	2	probstat	probstat	PROPN
ejpam-5819	609	3	forum	forum	PROPN
ejpam-5819	609	4	,	,	PUNCT
ejpam-5819	609	5	volume	volume	NOUN
ejpam-5819	609	6	7	7	NUM
ejpam-5819	609	7	,	,	PUNCT
ejpam-5819	609	8	pages	page	NOUN
ejpam-5819	609	9	1–11	1–11	PROPN
ejpam-5819	609	10	,	,	PUNCT
ejpam-5819	609	11	2014	2014	NUM
ejpam-5819	609	12	.	.	PUNCT
ejpam-5819	610	1	[	[	X
ejpam-5819	610	2	5	5	NUM
ejpam-5819	610	3	]	]	PUNCT
ejpam-5819	610	4	kareema	kareema	X
ejpam-5819	610	5	abed	abe	VERB
ejpam-5819	610	6	al	al	PROPN
ejpam-5819	610	7	-	-	PUNCT
ejpam-5819	610	8	kadim	kadim	PROPN
ejpam-5819	610	9	and	and	CCONJ
ejpam-5819	610	10	maysaa	maysaa	PROPN
ejpam-5819	610	11	mohammed	mohammed	PROPN
ejpam-5819	610	12	.	.	PUNCT
ejpam-5819	611	1	the	the	DET
ejpam-5819	611	2	cubic	cubic	ADJ
ejpam-5819	611	3	transmuted	transmute	VERB
ejpam-5819	611	4	weibull	weibull	NOUN
ejpam-5819	611	5	distribution	distribution	NOUN
ejpam-5819	611	6	.	.	PUNCT
ejpam-5819	612	1	journal	journal	PROPN
ejpam-5819	612	2	of	of	ADP
ejpam-5819	612	3	university	university	PROPN
ejpam-5819	612	4	of	of	ADP
ejpam-5819	612	5	babylon	babylon	PROPN
ejpam-5819	612	6	,	,	PUNCT
ejpam-5819	612	7	3:862–876	3:862–876	NUM
ejpam-5819	612	8	,	,	PUNCT
ejpam-5819	612	9	2017	2017	NUM
ejpam-5819	612	10	.	.	PUNCT
ejpam-5819	613	1	[	[	X
ejpam-5819	613	2	6	6	NUM
ejpam-5819	613	3	]	]	PUNCT
ejpam-5819	613	4	md	md	PROPN
ejpam-5819	613	5	mahabubur	mahabubur	PROPN
ejpam-5819	613	6	rahman	rahman	PROPN
ejpam-5819	613	7	,	,	PUNCT
ejpam-5819	613	8	bander	bander	PROPN
ejpam-5819	613	9	al	al	PROPN
ejpam-5819	613	10	-	-	PUNCT
ejpam-5819	613	11	zahrani	zahrani	PROPN
ejpam-5819	613	12	,	,	PUNCT
ejpam-5819	613	13	and	and	CCONJ
ejpam-5819	613	14	muhammad	muhammad	PROPN
ejpam-5819	613	15	qaiser	qaiser	PROPN
ejpam-5819	613	16	shahbaz	shahbaz	PROPN
ejpam-5819	613	17	.	.	PUNCT
ejpam-5819	614	1	a	a	DET
ejpam-5819	614	2	general	general	ADJ
ejpam-5819	614	3	transmuted	transmuted	ADJ
ejpam-5819	614	4	family	family	NOUN
ejpam-5819	614	5	of	of	ADP
ejpam-5819	614	6	distributions	distribution	NOUN
ejpam-5819	614	7	.	.	PUNCT
ejpam-5819	615	1	pakistan	pakistan	PROPN
ejpam-5819	615	2	journal	journal	PROPN
ejpam-5819	615	3	of	of	ADP
ejpam-5819	615	4	statistics	statistic	NOUN
ejpam-5819	615	5	and	and	CCONJ
ejpam-5819	615	6	operation	operation	NOUN
ejpam-5819	615	7	research	research	NOUN
ejpam-5819	615	8	,	,	PUNCT
ejpam-5819	615	9	pages	page	NOUN
ejpam-5819	615	10	451–469	451–469	NUM
ejpam-5819	615	11	,	,	PUNCT
ejpam-5819	615	12	2018	2018	NUM
ejpam-5819	615	13	.	.	PUNCT
ejpam-5819	616	1	[	[	X
ejpam-5819	616	2	7	7	X
ejpam-5819	616	3	]	]	X
ejpam-5819	616	4	md	md	PROPN
ejpam-5819	616	5	mahabubur	mahabubur	PROPN
ejpam-5819	616	6	rahman	rahman	PROPN
ejpam-5819	616	7	,	,	PUNCT
ejpam-5819	616	8	bander	bander	PROPN
ejpam-5819	616	9	al	al	PROPN
ejpam-5819	616	10	-	-	PUNCT
ejpam-5819	616	11	zahrani	zahrani	PROPN
ejpam-5819	616	12	,	,	PUNCT
ejpam-5819	616	13	and	and	CCONJ
ejpam-5819	616	14	muhammad	muhammad	PROPN
ejpam-5819	616	15	qaiser	qaiser	PROPN
ejpam-5819	616	16	shahbaz	shahbaz	PROPN
ejpam-5819	616	17	.	.	PUNCT
ejpam-5819	617	1	cubic	cubic	PROPN
ejpam-5819	617	2	transmuted	transmute	VERB
ejpam-5819	617	3	weibull	weibull	NOUN
ejpam-5819	617	4	distribution	distribution	NOUN
ejpam-5819	617	5	:	:	PUNCT
ejpam-5819	617	6	properties	property	NOUN
ejpam-5819	617	7	and	and	CCONJ
ejpam-5819	617	8	applications	application	NOUN
ejpam-5819	617	9	.	.	PUNCT
ejpam-5819	618	1	annals	annal	NOUN
ejpam-5819	618	2	of	of	ADP
ejpam-5819	618	3	data	data	NOUN
ejpam-5819	618	4	science	science	NOUN
ejpam-5819	618	5	,	,	PUNCT
ejpam-5819	618	6	6(1):83–102	6(1):83–102	NUM
ejpam-5819	618	7	,	,	PUNCT
ejpam-5819	618	8	2019	2019	NUM
ejpam-5819	618	9	.	.	PUNCT
ejpam-5819	619	1	[	[	X
ejpam-5819	619	2	8	8	NUM
ejpam-5819	619	3	]	]	X
ejpam-5819	619	4	md	md	PROPN
ejpam-5819	619	5	mahabubur	mahabubur	PROPN
ejpam-5819	619	6	rahman	rahman	PROPN
ejpam-5819	619	7	,	,	PUNCT
ejpam-5819	619	8	jumanah	jumanah	PROPN
ejpam-5819	619	9	ahmed	ahmed	PROPN
ejpam-5819	619	10	darwish	darwish	PROPN
ejpam-5819	619	11	,	,	PUNCT
ejpam-5819	619	12	saman	saman	PROPN
ejpam-5819	619	13	hanif	hanif	PROPN
ejpam-5819	619	14	shahbaz	shahbaz	PROPN
ejpam-5819	619	15	,	,	PUNCT
ejpam-5819	619	16	gg	gg	PROPN
ejpam-5819	619	17	hamedani	hamedani	NOUN
ejpam-5819	619	18	,	,	PUNCT
ejpam-5819	619	19	and	and	CCONJ
ejpam-5819	619	20	muhammad	muhammad	PROPN
ejpam-5819	619	21	qaiser	qaiser	PROPN
ejpam-5819	619	22	shahbaz	shahbaz	PROPN
ejpam-5819	619	23	.	.	PUNCT
ejpam-5819	620	1	a	a	DET
ejpam-5819	620	2	new	new	ADJ
ejpam-5819	620	3	cubic	cubic	ADJ
ejpam-5819	620	4	transmuted	transmute	VERB
ejpam-5819	620	5	log	log	NOUN
ejpam-5819	620	6	-	-	PUNCT
ejpam-5819	620	7	logistic	logistic	NOUN
ejpam-5819	620	8	a.	a.	NOUN
ejpam-5819	620	9	a.	a.	NOUN
ejpam-5819	620	10	alsalafi	alsalafi	PROPN
ejpam-5819	620	11	,	,	PUNCT
ejpam-5819	620	12	s.	s.	PROPN
ejpam-5819	620	13	h.	h.	PROPN
ejpam-5819	620	14	shahbaz	shahbaz	PROPN
ejpam-5819	620	15	,	,	PUNCT
ejpam-5819	620	16	l.	l.	PROPN
ejpam-5819	620	17	i.	i.	PROPN
ejpam-5819	620	18	al	al	PROPN
ejpam-5819	620	19	-	-	PUNCT
ejpam-5819	620	20	turk	turk	PROPN
ejpam-5819	620	21	/	/	SYM
ejpam-5819	620	22	eur	eur	PROPN
ejpam-5819	620	23	.	.	PUNCT
ejpam-5819	621	1	j.	j.	PROPN
ejpam-5819	621	2	pure	pure	PROPN
ejpam-5819	621	3	appl	appl	PROPN
ejpam-5819	621	4	.	.	PROPN
ejpam-5819	621	5	math	math	PROPN
ejpam-5819	621	6	,	,	PUNCT
ejpam-5819	621	7	18	18	NUM
ejpam-5819	621	8	(	(	PUNCT
ejpam-5819	621	9	2	2	NUM
ejpam-5819	621	10	)	)	PUNCT
ejpam-5819	621	11	(	(	PUNCT
ejpam-5819	621	12	2025	2025	NUM
ejpam-5819	621	13	)	)	PUNCT
ejpam-5819	621	14	,	,	PUNCT
ejpam-5819	621	15	5819	5819	NUM
ejpam-5819	621	16	28	28	NUM
ejpam-5819	621	17	of	of	ADP
ejpam-5819	621	18	28	28	NUM
ejpam-5819	621	19	distribution	distribution	NOUN
ejpam-5819	621	20	:	:	PUNCT
ejpam-5819	621	21	properties	property	NOUN
ejpam-5819	621	22	,	,	PUNCT
ejpam-5819	621	23	applications	application	NOUN
ejpam-5819	621	24	,	,	PUNCT
ejpam-5819	621	25	and	and	CCONJ
ejpam-5819	621	26	characterizations	characterization	NOUN
ejpam-5819	621	27	.	.	PUNCT
ejpam-5819	622	1	advances	advance	NOUN
ejpam-5819	622	2	and	and	CCONJ
ejpam-5819	622	3	applications	application	NOUN
ejpam-5819	622	4	in	in	ADP
ejpam-5819	622	5	statistics	statistic	NOUN
ejpam-5819	622	6	,	,	PUNCT
ejpam-5819	622	7	91(3):335–361	91(3):335–361	NOUN
ejpam-5819	622	8	,	,	PUNCT
ejpam-5819	622	9	2024	2024	NUM
ejpam-5819	622	10	.	.	PUNCT
ejpam-5819	623	1	[	[	X
ejpam-5819	623	2	9	9	NUM
ejpam-5819	623	3	]	]	X
ejpam-5819	623	4	md	md	PROPN
ejpam-5819	623	5	mahabubur	mahabubur	PROPN
ejpam-5819	623	6	rahman	rahman	PROPN
ejpam-5819	623	7	.	.	PUNCT
ejpam-5819	624	1	cubic	cubic	ADJ
ejpam-5819	624	2	transmuted	transmute	VERB
ejpam-5819	624	3	rayleigh	rayleigh	PROPN
ejpam-5819	624	4	distribution:\\theory	distribution:\\theory	NUM
ejpam-5819	624	5	and	and	CCONJ
ejpam-5819	624	6	application	application	NOUN
ejpam-5819	624	7	.	.	PUNCT
ejpam-5819	625	1	austrian	austrian	ADJ
ejpam-5819	625	2	journal	journal	PROPN
ejpam-5819	625	3	of	of	ADP
ejpam-5819	625	4	statistics	statistic	NOUN
ejpam-5819	625	5	,	,	PUNCT
ejpam-5819	625	6	51(3):164–177	51(3):164–177	PROPN
ejpam-5819	625	7	,	,	PUNCT
ejpam-5819	625	8	2022	2022	NUM
ejpam-5819	625	9	.	.	PUNCT
ejpam-5819	626	1	[	[	X
ejpam-5819	626	2	10	10	NUM
ejpam-5819	626	3	]	]	X
ejpam-5819	626	4	ayman	ayman	PROPN
ejpam-5819	626	5	alzaatreh	alzaatreh	PROPN
ejpam-5819	626	6	,	,	PUNCT
ejpam-5819	626	7	carl	carl	PROPN
ejpam-5819	626	8	lee	lee	PROPN
ejpam-5819	626	9	,	,	PUNCT
ejpam-5819	626	10	and	and	CCONJ
ejpam-5819	626	11	felix	felix	PROPN
ejpam-5819	626	12	famoye	famoye	PROPN
ejpam-5819	626	13	.	.	PUNCT
ejpam-5819	627	1	a	a	DET
ejpam-5819	627	2	new	new	ADJ
ejpam-5819	627	3	method	method	NOUN
ejpam-5819	627	4	for	for	ADP
ejpam-5819	627	5	generating	generate	VERB
ejpam-5819	627	6	families	family	NOUN
ejpam-5819	627	7	of	of	ADP
ejpam-5819	627	8	continuous	continuous	ADJ
ejpam-5819	627	9	distributions	distribution	NOUN
ejpam-5819	627	10	.	.	PUNCT
ejpam-5819	628	1	metron	metron	PROPN
ejpam-5819	628	2	,	,	PUNCT
ejpam-5819	628	3	71(1):63–79	71(1):63–79	ADV
ejpam-5819	628	4	,	,	PUNCT
ejpam-5819	628	5	2013	2013	NUM
ejpam-5819	628	6	.	.	PUNCT
ejpam-5819	629	1	[	[	X
ejpam-5819	629	2	11	11	NUM
ejpam-5819	629	3	]	]	X
ejpam-5819	629	4	ms	ms	PROPN
ejpam-5819	629	5	eliwa	eliwa	PROPN
ejpam-5819	629	6	and	and	CCONJ
ejpam-5819	629	7	m	m	PROPN
ejpam-5819	629	8	el	el	PROPN
ejpam-5819	629	9	-	-	PUNCT
ejpam-5819	629	10	morshedy	morshedy	PROPN
ejpam-5819	629	11	.	.	PUNCT
ejpam-5819	630	1	bivariate	bivariate	ADJ
ejpam-5819	630	2	gumbel	gumbel	PROPN
ejpam-5819	630	3	-	-	PUNCT
ejpam-5819	630	4	g	g	NOUN
ejpam-5819	630	5	family	family	NOUN
ejpam-5819	630	6	of	of	ADP
ejpam-5819	630	7	distributions	distribution	NOUN
ejpam-5819	630	8	:	:	PUNCT
ejpam-5819	630	9	statistical	statistical	ADJ
ejpam-5819	630	10	properties	property	NOUN
ejpam-5819	630	11	,	,	PUNCT
ejpam-5819	630	12	bayesian	bayesian	NOUN
ejpam-5819	630	13	and	and	CCONJ
ejpam-5819	630	14	non	non	ADJ
ejpam-5819	630	15	-	-	ADJ
ejpam-5819	630	16	bayesian	bayesian	ADJ
ejpam-5819	630	17	estimation	estimation	NOUN
ejpam-5819	630	18	with	with	ADP
ejpam-5819	630	19	application	application	NOUN
ejpam-5819	630	20	.	.	PUNCT
ejpam-5819	631	1	annals	annal	NOUN
ejpam-5819	631	2	of	of	ADP
ejpam-5819	631	3	data	data	NOUN
ejpam-5819	631	4	science	science	NOUN
ejpam-5819	631	5	,	,	PUNCT
ejpam-5819	631	6	6(1):39–60	6(1):39–60	NUM
ejpam-5819	631	7	,	,	PUNCT
ejpam-5819	631	8	2019	2019	NUM
ejpam-5819	631	9	.	.	PUNCT
ejpam-5819	632	1	[	[	X
ejpam-5819	632	2	12	12	NUM
ejpam-5819	632	3	]	]	X
ejpam-5819	632	4	md	md	PROPN
ejpam-5819	632	5	mahabubur	mahabubur	PROPN
ejpam-5819	632	6	rahman	rahman	PROPN
ejpam-5819	632	7	,	,	PUNCT
ejpam-5819	632	8	bander	bander	PROPN
ejpam-5819	632	9	al	al	PROPN
ejpam-5819	632	10	-	-	PUNCT
ejpam-5819	632	11	zahrani	zahrani	PROPN
ejpam-5819	632	12	,	,	PUNCT
ejpam-5819	632	13	saman	saman	PROPN
ejpam-5819	632	14	shahbaz	shahbaz	PROPN
ejpam-5819	632	15	,	,	PUNCT
ejpam-5819	632	16	and	and	CCONJ
ejpam-5819	632	17	muhammad	muhammad	PROPN
ejpam-5819	632	18	qaiser	qaiser	PROPN
ejpam-5819	632	19	shahbaz	shahbaz	PROPN
ejpam-5819	632	20	.	.	PUNCT
ejpam-5819	633	1	transmuted	transmute	VERB
ejpam-5819	633	2	probability	probability	NOUN
ejpam-5819	633	3	distributions	distribution	NOUN
ejpam-5819	633	4	:	:	PUNCT
ejpam-5819	633	5	a	a	DET
ejpam-5819	633	6	review	review	NOUN
ejpam-5819	633	7	.	.	PUNCT
ejpam-5819	634	1	pakistan	pakistan	PROPN
ejpam-5819	634	2	journal	journal	PROPN
ejpam-5819	634	3	of	of	ADP
ejpam-5819	634	4	statistics	statistic	NOUN
ejpam-5819	634	5	and	and	CCONJ
ejpam-5819	634	6	operation	operation	NOUN
ejpam-5819	634	7	research	research	NOUN
ejpam-5819	634	8	,	,	PUNCT
ejpam-5819	634	9	pages	page	NOUN
ejpam-5819	634	10	83–94	83–94	NUM
ejpam-5819	634	11	,	,	PUNCT
ejpam-5819	634	12	2020	2020	NUM
ejpam-5819	634	13	.	.	PUNCT
ejpam-5819	635	1	[	[	X
ejpam-5819	635	2	13	13	NUM
ejpam-5819	635	3	]	]	X
ejpam-5819	635	4	jumanah	jumanah	PROPN
ejpam-5819	635	5	darwish	darwish	PROPN
ejpam-5819	635	6	,	,	PUNCT
ejpam-5819	635	7	lutfiah	lutfiah	PROPN
ejpam-5819	635	8	al	al	PROPN
ejpam-5819	635	9	turk	turk	PROPN
ejpam-5819	635	10	,	,	PUNCT
ejpam-5819	635	11	and	and	CCONJ
ejpam-5819	635	12	muhammad	muhammad	PROPN
ejpam-5819	635	13	qaiser	qaiser	PROPN
ejpam-5819	635	14	shahbaz	shahbaz	PROPN
ejpam-5819	635	15	.	.	PUNCT
ejpam-5819	636	1	the	the	DET
ejpam-5819	636	2	bivariate	bivariate	ADJ
ejpam-5819	636	3	transmuted	transmuted	ADJ
ejpam-5819	636	4	family	family	NOUN
ejpam-5819	636	5	of	of	ADP
ejpam-5819	636	6	distributions	distribution	NOUN
ejpam-5819	636	7	:	:	PUNCT
ejpam-5819	636	8	theory	theory	NOUN
ejpam-5819	636	9	and	and	CCONJ
ejpam-5819	636	10	applications	application	NOUN
ejpam-5819	636	11	.	.	PUNCT
ejpam-5819	637	1	computer	computer	NOUN
ejpam-5819	637	2	systems	system	NOUN
ejpam-5819	637	3	science	science	NOUN
ejpam-5819	637	4	and	and	CCONJ
ejpam-5819	637	5	engineering	engineering	NOUN
ejpam-5819	637	6	,	,	PUNCT
ejpam-5819	637	7	36(1):131–144	36(1):131–144	NUM
ejpam-5819	637	8	,	,	PUNCT
ejpam-5819	637	9	2021	2021	NUM
ejpam-5819	637	10	.	.	PUNCT
ejpam-5819	638	1	[	[	X
ejpam-5819	638	2	14	14	NUM
ejpam-5819	638	3	]	]	PUNCT
ejpam-5819	638	4	m.	m.	NOUN
ejpam-5819	638	5	ganji	ganji	PROPN
ejpam-5819	638	6	,	,	PUNCT
ejpam-5819	638	7	h.	h.	PROPN
ejpam-5819	638	8	bevrani	bevrani	PROPN
ejpam-5819	638	9	,	,	PUNCT
ejpam-5819	638	10	and	and	CCONJ
ejpam-5819	638	11	n.h	n.h	PROPN
ejpam-5819	638	12	golzar	golzar	NOUN
ejpam-5819	638	13	.	.	PUNCT
ejpam-5819	639	1	a	a	DET
ejpam-5819	639	2	new	new	ADJ
ejpam-5819	639	3	method	method	NOUN
ejpam-5819	639	4	for	for	ADP
ejpam-5819	639	5	generating	generate	VERB
ejpam-5819	639	6	continuous	continuous	ADJ
ejpam-5819	639	7	bivariate	bivariate	ADJ
ejpam-5819	639	8	distribution	distribution	NOUN
ejpam-5819	639	9	families	family	NOUN
ejpam-5819	639	10	.	.	PUNCT
ejpam-5819	640	1	journal	journal	NOUN
ejpam-5819	640	2	of	of	ADP
ejpam-5819	640	3	the	the	DET
ejpam-5819	640	4	iranian	iranian	ADJ
ejpam-5819	640	5	statistical	statistical	ADJ
ejpam-5819	640	6	society	society	NOUN
ejpam-5819	640	7	,	,	PUNCT
ejpam-5819	640	8	17(1):109	17(1):109	NUM
ejpam-5819	640	9	–	–	PUNCT
ejpam-5819	640	10	129	129	NUM
ejpam-5819	640	11	,	,	PUNCT
ejpam-5819	640	12	2018	2018	NUM
ejpam-5819	640	13	.	.	PUNCT
ejpam-5819	641	1	[	[	X
ejpam-5819	641	2	15	15	NUM
ejpam-5819	641	3	]	]	X
ejpam-5819	641	4	paul	paul	PROPN
ejpam-5819	641	5	holland	holland	PROPN
ejpam-5819	641	6	and	and	CCONJ
ejpam-5819	641	7	yuchung	yuchung	PROPN
ejpam-5819	641	8	wang	wang	PROPN
ejpam-5819	641	9	.	.	PUNCT
ejpam-5819	642	1	dependence	dependence	NOUN
ejpam-5819	642	2	function	function	NOUN
ejpam-5819	642	3	for	for	ADP
ejpam-5819	642	4	continuous	continuous	ADJ
ejpam-5819	642	5	bivariate	bivariate	ADJ
ejpam-5819	642	6	densities	density	NOUN
ejpam-5819	642	7	.	.	PUNCT
ejpam-5819	643	1	communications	communication	NOUN
ejpam-5819	643	2	in	in	ADP
ejpam-5819	643	3	statistics	statistic	NOUN
ejpam-5819	643	4	-	-	PUNCT
ejpam-5819	643	5	theory	theory	NOUN
ejpam-5819	643	6	and	and	CCONJ
ejpam-5819	643	7	methods	method	NOUN
ejpam-5819	643	8	,	,	PUNCT
ejpam-5819	643	9	16(3):863–876	16(3):863–876	PROPN
ejpam-5819	643	10	,	,	PUNCT
ejpam-5819	643	11	1987	1987	NUM
ejpam-5819	643	12	.	.	PUNCT
ejpam-5819	644	1	[	[	X
ejpam-5819	644	2	16	16	NUM
ejpam-5819	644	3	]	]	X
ejpam-5819	644	4	frederick	frederick	PROPN
ejpam-5819	644	5	durling	durling	NOUN
ejpam-5819	644	6	.	.	PUNCT
ejpam-5819	645	1	the	the	DET
ejpam-5819	645	2	bivariate	bivariate	ADJ
ejpam-5819	645	3	burr	burr	NOUN
ejpam-5819	645	4	distribution	distribution	NOUN
ejpam-5819	645	5	.	.	PUNCT
ejpam-5819	646	1	in	in	ADP
ejpam-5819	646	2	a	a	DET
ejpam-5819	646	3	modern	modern	ADJ
ejpam-5819	646	4	course	course	NOUN
ejpam-5819	646	5	on	on	ADP
ejpam-5819	646	6	statistical	statistical	ADJ
ejpam-5819	646	7	distributions	distribution	NOUN
ejpam-5819	646	8	in	in	ADP
ejpam-5819	646	9	scientific	scientific	ADJ
ejpam-5819	646	10	work	work	NOUN
ejpam-5819	646	11	:	:	PUNCT
ejpam-5819	646	12	volume	volume	NOUN
ejpam-5819	646	13	1	1	NUM
ejpam-5819	646	14	—	—	PUNCT
ejpam-5819	646	15	models	model	NOUN
ejpam-5819	646	16	and	and	CCONJ
ejpam-5819	646	17	structures	structure	NOUN
ejpam-5819	646	18	proceedings	proceeding	NOUN
ejpam-5819	646	19	of	of	ADP
ejpam-5819	646	20	the	the	DET
ejpam-5819	646	21	nato	nato	PROPN
ejpam-5819	646	22	advanced	advanced	ADJ
ejpam-5819	646	23	study	study	PROPN
ejpam-5819	646	24	institute	institute	NOUN
ejpam-5819	646	25	held	hold	VERB
ejpam-5819	646	26	at	at	ADP
ejpam-5819	646	27	the	the	DET
ejpam-5819	646	28	university	university	NOUN
ejpam-5819	646	29	of	of	ADP
ejpam-5819	646	30	calgagry	calgagry	ADJ
ejpam-5819	646	31	,	,	PUNCT
ejpam-5819	646	32	calgary	calgary	PROPN
ejpam-5819	646	33	,	,	PUNCT
ejpam-5819	646	34	alberta	alberta	PROPN
ejpam-5819	646	35	,	,	PUNCT
ejpam-5819	646	36	canada	canada	PROPN
ejpam-5819	646	37	july	july	PROPN
ejpam-5819	646	38	29	29	NUM
ejpam-5819	646	39	–	–	PUNCT
ejpam-5819	646	40	august	august	PROPN
ejpam-5819	646	41	10	10	NUM
ejpam-5819	646	42	,	,	PUNCT
ejpam-5819	646	43	1974	1974	NUM
ejpam-5819	646	44	,	,	PUNCT
ejpam-5819	646	45	pages	page	NOUN
ejpam-5819	646	46	329–335	329–335	NUM
ejpam-5819	646	47	.	.	PUNCT
ejpam-5819	646	48	springer	springer	NOUN
ejpam-5819	646	49	,	,	PUNCT
ejpam-5819	646	50	1975	1975	NUM
ejpam-5819	646	51	.	.	PUNCT