id	sid	tid	token	lemma	pos
ejpam-5507	1	1	european	european	PROPN
ejpam-5507	1	2	journal	journal	PROPN
ejpam-5507	1	3	of	of	ADP
ejpam-5507	1	4	pure	pure	ADJ
ejpam-5507	1	5	and	and	CCONJ
ejpam-5507	1	6	applied	apply	VERB
ejpam-5507	1	7	mathematics	mathematic	NOUN
ejpam-5507	1	8	vol	vol	NOUN
ejpam-5507	1	9	.	.	PROPN
ejpam-5507	2	1	17	17	NUM
ejpam-5507	2	2	,	,	PUNCT
ejpam-5507	2	3	no	no	INTJ
ejpam-5507	2	4	.	.	NOUN
ejpam-5507	2	5	4	4	NUM
ejpam-5507	2	6	,	,	PUNCT
ejpam-5507	2	7	2024	2024	NUM
ejpam-5507	2	8	,	,	PUNCT
ejpam-5507	2	9	3945	3945	NUM
ejpam-5507	2	10	-	-	SYM
ejpam-5507	2	11	3972	3972	NUM
ejpam-5507	2	12	issn	issn	PROPN
ejpam-5507	2	13	1307	1307	NUM
ejpam-5507	2	14	-	-	SYM
ejpam-5507	2	15	5543	5543	NUM
ejpam-5507	2	16	–	–	PUNCT
ejpam-5507	3	1	ejpam.com	ejpam.com	X
ejpam-5507	3	2	published	publish	VERB
ejpam-5507	3	3	by	by	ADP
ejpam-5507	3	4	new	new	PROPN
ejpam-5507	3	5	york	york	PROPN
ejpam-5507	3	6	business	business	PROPN
ejpam-5507	3	7	global	global	PROPN
ejpam-5507	3	8	a	a	DET
ejpam-5507	3	9	new	new	ADJ
ejpam-5507	3	10	method	method	NOUN
ejpam-5507	3	11	of	of	ADP
ejpam-5507	3	12	generating	generate	VERB
ejpam-5507	3	13	truncated	truncated	ADJ
ejpam-5507	3	14	bivariate	bivariate	ADJ
ejpam-5507	3	15	families	family	NOUN
ejpam-5507	3	16	of	of	ADP
ejpam-5507	3	17	distributions	distribution	NOUN
ejpam-5507	3	18	eftekhar	eftekhar	VERB
ejpam-5507	3	19	alsulami1,2,∗	alsulami1,2,∗	PROPN
ejpam-5507	3	20	,	,	PUNCT
ejpam-5507	3	21	lutfiah	lutfiah	PROPN
ejpam-5507	3	22	al	al	PROPN
ejpam-5507	3	23	-	-	PUNCT
ejpam-5507	3	24	turk1	turk1	PROPN
ejpam-5507	3	25	,	,	PUNCT
ejpam-5507	3	26	muhammad	muhammad	PROPN
ejpam-5507	3	27	qaiser	qaiser	PROPN
ejpam-5507	3	28	shahbaz1	shahbaz1	PROPN
ejpam-5507	3	29	1	1	NUM
ejpam-5507	3	30	department	department	NOUN
ejpam-5507	3	31	of	of	ADP
ejpam-5507	3	32	statistics	statistic	NOUN
ejpam-5507	3	33	,	,	PUNCT
ejpam-5507	3	34	faculty	faculty	NOUN
ejpam-5507	3	35	of	of	ADP
ejpam-5507	3	36	science	science	NOUN
ejpam-5507	3	37	,	,	PUNCT
ejpam-5507	3	38	king	king	PROPN
ejpam-5507	3	39	abdulaziz	abdulaziz	PROPN
ejpam-5507	3	40	university	university	PROPN
ejpam-5507	3	41	,	,	PUNCT
ejpam-5507	3	42	jeddah	jeddah	PROPN
ejpam-5507	3	43	21589	21589	NUM
ejpam-5507	3	44	,	,	PUNCT
ejpam-5507	3	45	saudi	saudi	PROPN
ejpam-5507	3	46	arabia	arabia	PROPN
ejpam-5507	3	47	2	2	NUM
ejpam-5507	3	48	department	department	NOUN
ejpam-5507	3	49	of	of	ADP
ejpam-5507	3	50	mathematics	mathematic	NOUN
ejpam-5507	3	51	,	,	PUNCT
ejpam-5507	3	52	faculty	faculty	NOUN
ejpam-5507	3	53	of	of	ADP
ejpam-5507	3	54	science	science	NOUN
ejpam-5507	3	55	,	,	PUNCT
ejpam-5507	3	56	university	university	NOUN
ejpam-5507	3	57	of	of	ADP
ejpam-5507	3	58	jeddah	jeddah	PROPN
ejpam-5507	3	59	,	,	PUNCT
ejpam-5507	3	60	jeddah	jeddah	PROPN
ejpam-5507	3	61	,	,	PUNCT
ejpam-5507	3	62	saudi	saudi	PROPN
ejpam-5507	3	63	arabia	arabia	PROPN
ejpam-5507	3	64	abstract	abstract	NOUN
ejpam-5507	3	65	.	.	PUNCT
ejpam-5507	4	1	the	the	DET
ejpam-5507	4	2	modeling	modeling	NOUN
ejpam-5507	4	3	of	of	ADP
ejpam-5507	4	4	complex	complex	ADJ
ejpam-5507	4	5	data	datum	NOUN
ejpam-5507	4	6	has	have	AUX
ejpam-5507	4	7	attracted	attract	VERB
ejpam-5507	4	8	several	several	ADJ
ejpam-5507	4	9	researchers	researcher	NOUN
ejpam-5507	4	10	for	for	ADP
ejpam-5507	4	11	the	the	DET
ejpam-5507	4	12	quest	quest	NOUN
ejpam-5507	4	13	of	of	ADP
ejpam-5507	4	14	generating	generate	VERB
ejpam-5507	4	15	new	new	ADJ
ejpam-5507	4	16	probability	probability	NOUN
ejpam-5507	4	17	distributions	distribution	NOUN
ejpam-5507	4	18	.	.	PUNCT
ejpam-5507	5	1	the	the	DET
ejpam-5507	5	2	joint	joint	ADJ
ejpam-5507	5	3	modeling	modeling	NOUN
ejpam-5507	5	4	of	of	ADP
ejpam-5507	5	5	two	two	NUM
ejpam-5507	5	6	variables	variable	NOUN
ejpam-5507	5	7	asks	ask	VERB
ejpam-5507	5	8	for	for	SCONJ
ejpam-5507	5	9	some	some	DET
ejpam-5507	5	10	additional	additional	ADJ
ejpam-5507	5	11	complexities	complexity	NOUN
ejpam-5507	5	12	as	as	ADP
ejpam-5507	5	13	a	a	DET
ejpam-5507	5	14	bivariate	bivariate	ADJ
ejpam-5507	5	15	distribution	distribution	NOUN
ejpam-5507	5	16	is	be	AUX
ejpam-5507	5	17	needed	need	VERB
ejpam-5507	5	18	.	.	PUNCT
ejpam-5507	6	1	the	the	DET
ejpam-5507	6	2	field	field	NOUN
ejpam-5507	6	3	of	of	ADP
ejpam-5507	6	4	research	research	NOUN
ejpam-5507	6	5	in	in	ADP
ejpam-5507	6	6	developing	develop	VERB
ejpam-5507	6	7	bivariate	bivariate	ADJ
ejpam-5507	6	8	families	family	NOUN
ejpam-5507	6	9	of	of	ADP
ejpam-5507	6	10	distributions	distribution	NOUN
ejpam-5507	6	11	is	be	AUX
ejpam-5507	6	12	somewhat	somewhat	ADV
ejpam-5507	6	13	new	new	ADJ
ejpam-5507	6	14	.	.	PUNCT
ejpam-5507	7	1	in	in	ADP
ejpam-5507	7	2	certain	certain	ADJ
ejpam-5507	7	3	situations	situation	NOUN
ejpam-5507	7	4	,	,	PUNCT
ejpam-5507	7	5	the	the	DET
ejpam-5507	7	6	domain	domain	NOUN
ejpam-5507	7	7	of	of	ADP
ejpam-5507	7	8	data	datum	NOUN
ejpam-5507	7	9	is	be	AUX
ejpam-5507	7	10	restricted	restrict	VERB
ejpam-5507	7	11	and	and	CCONJ
ejpam-5507	7	12	some	some	DET
ejpam-5507	7	13	truncated	truncated	ADJ
ejpam-5507	7	14	distribution	distribution	NOUN
ejpam-5507	7	15	is	be	AUX
ejpam-5507	7	16	required	require	VERB
ejpam-5507	7	17	.	.	PUNCT
ejpam-5507	8	1	several	several	ADJ
ejpam-5507	8	2	univariate	univariate	ADJ
ejpam-5507	8	3	truncated	truncated	ADJ
ejpam-5507	8	4	families	family	NOUN
ejpam-5507	8	5	of	of	ADP
ejpam-5507	8	6	distributions	distribution	NOUN
ejpam-5507	8	7	are	be	AUX
ejpam-5507	8	8	available	available	ADJ
ejpam-5507	8	9	for	for	ADP
ejpam-5507	8	10	modeling	modeling	NOUN
ejpam-5507	8	11	of	of	ADP
ejpam-5507	8	12	a	a	DET
ejpam-5507	8	13	single	single	ADJ
ejpam-5507	8	14	variable	variable	NOUN
ejpam-5507	8	15	but	but	CCONJ
ejpam-5507	8	16	the	the	DET
ejpam-5507	8	17	bivariate	bivariate	ADJ
ejpam-5507	8	18	truncated	truncated	ADJ
ejpam-5507	8	19	families	family	NOUN
ejpam-5507	8	20	of	of	ADP
ejpam-5507	8	21	distributions	distribution	NOUN
ejpam-5507	8	22	has	have	AUX
ejpam-5507	8	23	not	not	PART
ejpam-5507	8	24	been	be	AUX
ejpam-5507	8	25	studied	study	VERB
ejpam-5507	8	26	and	and	CCONJ
ejpam-5507	8	27	in	in	ADP
ejpam-5507	8	28	this	this	DET
ejpam-5507	8	29	paper	paper	NOUN
ejpam-5507	8	30	,	,	PUNCT
ejpam-5507	8	31	we	we	PRON
ejpam-5507	8	32	have	have	AUX
ejpam-5507	8	33	proposed	propose	VERB
ejpam-5507	8	34	a	a	DET
ejpam-5507	8	35	new	new	ADJ
ejpam-5507	8	36	bivariate	bivariate	ADJ
ejpam-5507	8	37	truncated	truncated	ADJ
ejpam-5507	8	38	families	family	NOUN
ejpam-5507	8	39	of	of	ADP
ejpam-5507	8	40	distributions	distribution	NOUN
ejpam-5507	8	41	.	.	PUNCT
ejpam-5507	9	1	a	a	PRON
ejpam-5507	9	2	specific	specific	ADJ
ejpam-5507	9	3	sub	sub	NOUN
ejpam-5507	9	4	-	-	NOUN
ejpam-5507	9	5	family	family	NOUN
ejpam-5507	9	6	has	have	AUX
ejpam-5507	9	7	been	be	AUX
ejpam-5507	9	8	proposed	propose	VERB
ejpam-5507	9	9	by	by	ADP
ejpam-5507	9	10	using	use	VERB
ejpam-5507	9	11	the	the	DET
ejpam-5507	9	12	bivariate	bivariate	ADJ
ejpam-5507	9	13	burr	burr	NOUN
ejpam-5507	9	14	as	as	ADP
ejpam-5507	9	15	a	a	DET
ejpam-5507	9	16	baseline	baseline	ADJ
ejpam-5507	9	17	distribution	distribution	NOUN
ejpam-5507	9	18	,	,	PUNCT
ejpam-5507	9	19	resulting	result	VERB
ejpam-5507	9	20	in	in	ADP
ejpam-5507	9	21	a	a	DET
ejpam-5507	9	22	bivariate	bivariate	ADJ
ejpam-5507	9	23	truncated	truncate	VERB
ejpam-5507	9	24	burr	burr	NOUN
ejpam-5507	9	25	family	family	NOUN
ejpam-5507	9	26	of	of	ADP
ejpam-5507	9	27	distributions	distribution	NOUN
ejpam-5507	9	28	.	.	PUNCT
ejpam-5507	10	1	some	some	DET
ejpam-5507	10	2	important	important	ADJ
ejpam-5507	10	3	statistical	statistical	ADJ
ejpam-5507	10	4	properties	property	NOUN
ejpam-5507	10	5	of	of	ADP
ejpam-5507	10	6	the	the	DET
ejpam-5507	10	7	proposed	propose	VERB
ejpam-5507	10	8	family	family	NOUN
ejpam-5507	10	9	has	have	AUX
ejpam-5507	10	10	been	be	AUX
ejpam-5507	10	11	studied	study	VERB
ejpam-5507	10	12	,	,	PUNCT
ejpam-5507	10	13	which	which	PRON
ejpam-5507	10	14	include	include	VERB
ejpam-5507	10	15	the	the	DET
ejpam-5507	10	16	marginal	marginal	ADJ
ejpam-5507	10	17	and	and	CCONJ
ejpam-5507	10	18	conditional	conditional	ADJ
ejpam-5507	10	19	distributions	distribution	NOUN
ejpam-5507	10	20	,	,	PUNCT
ejpam-5507	10	21	bivariate	bivariate	ADJ
ejpam-5507	10	22	reliability	reliability	NOUN
ejpam-5507	10	23	,	,	PUNCT
ejpam-5507	10	24	and	and	CCONJ
ejpam-5507	10	25	bivariate	bivariate	ADJ
ejpam-5507	10	26	hazard	hazard	NOUN
ejpam-5507	10	27	rate	rate	NOUN
ejpam-5507	10	28	functions	function	NOUN
ejpam-5507	10	29	.	.	PUNCT
ejpam-5507	11	1	the	the	DET
ejpam-5507	11	2	maximum	maximum	ADJ
ejpam-5507	11	3	likelihood	likelihood	NOUN
ejpam-5507	11	4	estimation	estimation	NOUN
ejpam-5507	11	5	for	for	ADP
ejpam-5507	11	6	the	the	DET
ejpam-5507	11	7	parameters	parameter	NOUN
ejpam-5507	11	8	of	of	ADP
ejpam-5507	11	9	the	the	DET
ejpam-5507	11	10	family	family	NOUN
ejpam-5507	11	11	is	be	AUX
ejpam-5507	11	12	also	also	ADV
ejpam-5507	11	13	carried	carry	VERB
ejpam-5507	11	14	out	out	ADP
ejpam-5507	11	15	.	.	PUNCT
ejpam-5507	12	1	the	the	DET
ejpam-5507	12	2	proposed	propose	VERB
ejpam-5507	12	3	bivariate	bivariate	ADJ
ejpam-5507	12	4	truncated	truncated	ADJ
ejpam-5507	12	5	burr	burr	NOUN
ejpam-5507	12	6	family	family	NOUN
ejpam-5507	12	7	of	of	ADP
ejpam-5507	12	8	distributions	distribution	NOUN
ejpam-5507	12	9	is	be	AUX
ejpam-5507	12	10	studied	study	VERB
ejpam-5507	12	11	for	for	ADP
ejpam-5507	12	12	the	the	DET
ejpam-5507	12	13	burr	burr	PROPN
ejpam-5507	12	14	baseline	baseline	PROPN
ejpam-5507	12	15	distributions	distribution	NOUN
ejpam-5507	12	16	,	,	PUNCT
ejpam-5507	12	17	giving	give	VERB
ejpam-5507	12	18	rise	rise	NOUN
ejpam-5507	12	19	to	to	ADP
ejpam-5507	12	20	the	the	DET
ejpam-5507	12	21	bivariate	bivariate	ADJ
ejpam-5507	12	22	truncated	truncated	ADJ
ejpam-5507	12	23	burr	burr	NOUN
ejpam-5507	12	24	-	-	PUNCT
ejpam-5507	12	25	burr	burr	NOUN
ejpam-5507	12	26	distribution	distribution	NOUN
ejpam-5507	12	27	.	.	PUNCT
ejpam-5507	13	1	the	the	DET
ejpam-5507	13	2	new	new	ADJ
ejpam-5507	13	3	bivariate	bivariate	ADJ
ejpam-5507	13	4	truncated	truncated	ADJ
ejpam-5507	13	5	burr	burr	NOUN
ejpam-5507	13	6	-	-	PUNCT
ejpam-5507	13	7	burr	burr	NOUN
ejpam-5507	13	8	distribution	distribution	NOUN
ejpam-5507	13	9	is	be	AUX
ejpam-5507	13	10	explored	explore	VERB
ejpam-5507	13	11	in	in	ADP
ejpam-5507	13	12	detail	detail	NOUN
ejpam-5507	13	13	and	and	CCONJ
ejpam-5507	13	14	several	several	ADJ
ejpam-5507	13	15	statistical	statistical	ADJ
ejpam-5507	13	16	properties	property	NOUN
ejpam-5507	13	17	of	of	ADP
ejpam-5507	13	18	the	the	DET
ejpam-5507	13	19	new	new	ADJ
ejpam-5507	13	20	distribution	distribution	NOUN
ejpam-5507	13	21	are	be	AUX
ejpam-5507	13	22	studied	study	VERB
ejpam-5507	13	23	,	,	PUNCT
ejpam-5507	13	24	which	which	PRON
ejpam-5507	13	25	include	include	VERB
ejpam-5507	13	26	the	the	DET
ejpam-5507	13	27	marginal	marginal	ADJ
ejpam-5507	13	28	and	and	CCONJ
ejpam-5507	13	29	conditional	conditional	ADJ
ejpam-5507	13	30	distributions	distribution	NOUN
ejpam-5507	13	31	,	,	PUNCT
ejpam-5507	13	32	product	product	NOUN
ejpam-5507	13	33	,	,	PUNCT
ejpam-5507	13	34	ratio	ratio	NOUN
ejpam-5507	13	35	,	,	PUNCT
ejpam-5507	13	36	and	and	CCONJ
ejpam-5507	13	37	conditional	conditional	ADJ
ejpam-5507	13	38	moments	moment	NOUN
ejpam-5507	13	39	.	.	PUNCT
ejpam-5507	14	1	the	the	DET
ejpam-5507	14	2	maximum	maximum	ADJ
ejpam-5507	14	3	likelihood	likelihood	NOUN
ejpam-5507	14	4	estimation	estimation	NOUN
ejpam-5507	14	5	for	for	ADP
ejpam-5507	14	6	the	the	DET
ejpam-5507	14	7	parameters	parameter	NOUN
ejpam-5507	14	8	of	of	ADP
ejpam-5507	14	9	the	the	DET
ejpam-5507	14	10	proposed	propose	VERB
ejpam-5507	14	11	distribution	distribution	NOUN
ejpam-5507	14	12	is	be	AUX
ejpam-5507	14	13	done	do	VERB
ejpam-5507	14	14	.	.	PUNCT
ejpam-5507	15	1	the	the	DET
ejpam-5507	15	2	proposed	propose	VERB
ejpam-5507	15	3	bivariate	bivariate	ADJ
ejpam-5507	15	4	truncated	truncated	ADJ
ejpam-5507	15	5	burr	burr	NOUN
ejpam-5507	15	6	-	-	PUNCT
ejpam-5507	15	7	burr	burr	NOUN
ejpam-5507	15	8	distribution	distribution	NOUN
ejpam-5507	15	9	is	be	AUX
ejpam-5507	15	10	used	use	VERB
ejpam-5507	15	11	to	to	PART
ejpam-5507	15	12	model	model	VERB
ejpam-5507	15	13	some	some	DET
ejpam-5507	15	14	real	real	ADJ
ejpam-5507	15	15	data	datum	NOUN
ejpam-5507	15	16	sets	set	NOUN
ejpam-5507	15	17	.	.	PUNCT
ejpam-5507	16	1	it	it	PRON
ejpam-5507	16	2	is	be	AUX
ejpam-5507	16	3	found	find	VERB
ejpam-5507	16	4	that	that	SCONJ
ejpam-5507	16	5	the	the	DET
ejpam-5507	16	6	proposed	propose	VERB
ejpam-5507	16	7	distribution	distribution	NOUN
ejpam-5507	16	8	performs	perform	VERB
ejpam-5507	16	9	better	well	ADJ
ejpam-5507	16	10	than	than	ADP
ejpam-5507	16	11	the	the	DET
ejpam-5507	16	12	other	other	ADJ
ejpam-5507	16	13	distributions	distribution	NOUN
ejpam-5507	16	14	considered	consider	VERB
ejpam-5507	16	15	in	in	ADP
ejpam-5507	16	16	this	this	DET
ejpam-5507	16	17	study	study	NOUN
ejpam-5507	16	18	.	.	PUNCT
ejpam-5507	17	1	2020	2020	NUM
ejpam-5507	17	2	mathematics	mathematic	NOUN
ejpam-5507	17	3	subject	subject	NOUN
ejpam-5507	17	4	classifications	classification	NOUN
ejpam-5507	17	5	:	:	PUNCT
ejpam-5507	17	6	60e05	60e05	NUM
ejpam-5507	17	7	,	,	PUNCT
ejpam-5507	17	8	62e15	62e15	NUM
ejpam-5507	17	9	,	,	PUNCT
ejpam-5507	17	10	62g30	62g30	NUM
ejpam-5507	17	11	,	,	PUNCT
ejpam-5507	17	12	62f10	62f10	ADJ
ejpam-5507	17	13	key	key	ADJ
ejpam-5507	17	14	words	word	NOUN
ejpam-5507	17	15	and	and	CCONJ
ejpam-5507	17	16	phrases	phrase	NOUN
ejpam-5507	17	17	:	:	PUNCT
ejpam-5507	17	18	truncated	truncated	ADJ
ejpam-5507	17	19	distributions	distribution	NOUN
ejpam-5507	17	20	;	;	PUNCT
ejpam-5507	17	21	bivariate	bivariate	ADJ
ejpam-5507	17	22	distributions	distribution	NOUN
ejpam-5507	17	23	;	;	PUNCT
ejpam-5507	17	24	burr	burr	NOUN
ejpam-5507	17	25	distribution	distribution	NOUN
ejpam-5507	17	26	;	;	PUNCT
ejpam-5507	17	27	lomax	lomax	NOUN
ejpam-5507	17	28	distribution	distribution	NOUN
ejpam-5507	17	29	;	;	PUNCT
ejpam-5507	17	30	bivariate	bivariate	ADJ
ejpam-5507	17	31	burr	burr	NOUN
ejpam-5507	17	32	distribution	distribution	NOUN
ejpam-5507	17	33	;	;	PUNCT
ejpam-5507	17	34	maximum	maximum	ADJ
ejpam-5507	17	35	likelihood	likelihood	NOUN
ejpam-5507	17	36	estimation	estimation	NOUN
ejpam-5507	17	37	∗corresponding	∗corresponde	VERB
ejpam-5507	17	38	author	author	NOUN
ejpam-5507	17	39	.	.	PUNCT
ejpam-5507	18	1	doi	doi	NOUN
ejpam-5507	18	2	:	:	PUNCT
ejpam-5507	18	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5507	https://doi.org/10.29020/nybg.ejpam.v17i4.5507	NUM
ejpam-5507	18	4	email	email	NOUN
ejpam-5507	18	5	addresses	address	NOUN
ejpam-5507	18	6	:	:	PUNCT
ejpam-5507	18	7	ekalsulami@uj.edu.sa	ekalsulami@uj.edu.sa	PROPN
ejpam-5507	18	8	(	(	PUNCT
ejpam-5507	18	9	e.	e.	PROPN
ejpam-5507	18	10	alsulami	alsulami	PROPN
ejpam-5507	18	11	)	)	PUNCT
ejpam-5507	18	12	,	,	PUNCT
ejpam-5507	18	13	lturk@kau.edu.sa	lturk@kau.edu.sa	PROPN
ejpam-5507	18	14	(	(	PUNCT
ejpam-5507	18	15	l.	l.	PROPN
ejpam-5507	18	16	al	al	PROPN
ejpam-5507	18	17	-	-	PUNCT
ejpam-5507	18	18	turk	turk	PROPN
ejpam-5507	18	19	)	)	PUNCT
ejpam-5507	18	20	,	,	PUNCT
ejpam-5507	18	21	mkmohamad@kau.edu.sa	mkmohamad@kau.edu.sa	PROPN
ejpam-5507	18	22	(	(	PUNCT
ejpam-5507	18	23	m.	m.	PROPN
ejpam-5507	18	24	q.	q.	PROPN
ejpam-5507	18	25	shahbaz	shahbaz	PROPN
ejpam-5507	18	26	)	)	PUNCT
ejpam-5507	18	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5507	18	28	3945	3945	NUM
ejpam-5507	18	29	copyright	copyright	NOUN
ejpam-5507	18	30	:	:	PUNCT
ejpam-5507	18	31	©	©	PROPN
ejpam-5507	18	32	2024	2024	NUM
ejpam-5507	18	33	the	the	DET
ejpam-5507	18	34	author(s	author(s	NOUN
ejpam-5507	18	35	)	)	PUNCT
ejpam-5507	18	36	.	.	PUNCT
ejpam-5507	19	1	(	(	PUNCT
ejpam-5507	19	2	cc	cc	NOUN
ejpam-5507	19	3	by	by	ADP
ejpam-5507	19	4	-	-	PUNCT
ejpam-5507	19	5	nc	nc	PROPN
ejpam-5507	19	6	4.0	4.0	NUM
ejpam-5507	19	7	)	)	PUNCT
ejpam-5507	19	8	e.	e.	PROPN
ejpam-5507	19	9	alsulami	alsulami	PROPN
ejpam-5507	19	10	,	,	PUNCT
ejpam-5507	19	11	l.	l.	PROPN
ejpam-5507	19	12	al	al	PROPN
ejpam-5507	19	13	-	-	PUNCT
ejpam-5507	19	14	turk	turk	PROPN
ejpam-5507	19	15	,	,	PUNCT
ejpam-5507	19	16	m.	m.	NOUN
ejpam-5507	19	17	q.	q.	PROPN
ejpam-5507	19	18	shahbaz	shahbaz	PROPN
ejpam-5507	19	19	/	/	SYM
ejpam-5507	19	20	eur	eur	PROPN
ejpam-5507	19	21	.	.	PUNCT
ejpam-5507	20	1	j.	j.	PROPN
ejpam-5507	20	2	pure	pure	PROPN
ejpam-5507	20	3	appl	appl	PROPN
ejpam-5507	20	4	.	.	PROPN
ejpam-5507	20	5	math	math	PROPN
ejpam-5507	20	6	,	,	PUNCT
ejpam-5507	20	7	17	17	NUM
ejpam-5507	20	8	(	(	PUNCT
ejpam-5507	20	9	4	4	NUM
ejpam-5507	20	10	)	)	PUNCT
ejpam-5507	20	11	(	(	PUNCT
ejpam-5507	20	12	2024	2024	NUM
ejpam-5507	20	13	)	)	PUNCT
ejpam-5507	20	14	,	,	PUNCT
ejpam-5507	20	15	3945	3945	NUM
ejpam-5507	20	16	-	-	SYM
ejpam-5507	20	17	3972	3972	NUM
ejpam-5507	20	18	3946	3946	NUM
ejpam-5507	20	19	1	1	NUM
ejpam-5507	20	20	.	.	PUNCT
ejpam-5507	21	1	introduction	introduction	NOUN
ejpam-5507	21	2	probability	probability	NOUN
ejpam-5507	21	3	distributions	distribution	NOUN
ejpam-5507	21	4	are	be	AUX
ejpam-5507	21	5	an	an	DET
ejpam-5507	21	6	important	important	ADJ
ejpam-5507	21	7	tool	tool	NOUN
ejpam-5507	21	8	in	in	ADP
ejpam-5507	21	9	statistical	statistical	ADJ
ejpam-5507	21	10	sciences	science	NOUN
ejpam-5507	21	11	.	.	PUNCT
ejpam-5507	22	1	there	there	PRON
ejpam-5507	22	2	are	be	VERB
ejpam-5507	22	3	situations	situation	NOUN
ejpam-5507	22	4	when	when	SCONJ
ejpam-5507	22	5	complex	complex	ADJ
ejpam-5507	22	6	data	datum	NOUN
ejpam-5507	22	7	behavior	behavior	NOUN
ejpam-5507	22	8	is	be	AUX
ejpam-5507	22	9	beyond	beyond	ADP
ejpam-5507	22	10	the	the	DET
ejpam-5507	22	11	scope	scope	NOUN
ejpam-5507	22	12	of	of	ADP
ejpam-5507	22	13	the	the	DET
ejpam-5507	22	14	standard	standard	ADJ
ejpam-5507	22	15	probability	probability	NOUN
ejpam-5507	22	16	models	model	NOUN
ejpam-5507	22	17	and	and	CCONJ
ejpam-5507	22	18	hence	hence	ADV
ejpam-5507	22	19	some	some	DET
ejpam-5507	22	20	extensions	extension	NOUN
ejpam-5507	22	21	are	be	AUX
ejpam-5507	22	22	needed	need	VERB
ejpam-5507	22	23	.	.	PUNCT
ejpam-5507	23	1	several	several	ADJ
ejpam-5507	23	2	practical	practical	ADJ
ejpam-5507	23	3	situations	situation	NOUN
ejpam-5507	23	4	arise	arise	VERB
ejpam-5507	23	5	where	where	SCONJ
ejpam-5507	23	6	one	one	PRON
ejpam-5507	23	7	is	be	AUX
ejpam-5507	23	8	interested	interested	ADJ
ejpam-5507	23	9	in	in	ADP
ejpam-5507	23	10	the	the	DET
ejpam-5507	23	11	simultaneous	simultaneous	ADJ
ejpam-5507	23	12	modeling	modeling	NOUN
ejpam-5507	23	13	of	of	ADP
ejpam-5507	23	14	two	two	NUM
ejpam-5507	23	15	or	or	CCONJ
ejpam-5507	23	16	more	more	ADJ
ejpam-5507	23	17	phenomena	phenomenon	NOUN
ejpam-5507	23	18	.	.	PUNCT
ejpam-5507	24	1	in	in	ADP
ejpam-5507	24	2	these	these	DET
ejpam-5507	24	3	situations	situation	NOUN
ejpam-5507	24	4	,	,	PUNCT
ejpam-5507	24	5	the	the	DET
ejpam-5507	24	6	univariate	univariate	ADJ
ejpam-5507	24	7	distributions	distribution	NOUN
ejpam-5507	24	8	are	be	AUX
ejpam-5507	24	9	not	not	PART
ejpam-5507	24	10	applicable	applicable	ADJ
ejpam-5507	24	11	,	,	PUNCT
ejpam-5507	24	12	rather	rather	ADV
ejpam-5507	24	13	,	,	PUNCT
ejpam-5507	24	14	some	some	DET
ejpam-5507	24	15	suitable	suitable	ADJ
ejpam-5507	24	16	bivariate	bivariate	NOUN
ejpam-5507	24	17	or	or	CCONJ
ejpam-5507	24	18	multivariate	multivariate	NOUN
ejpam-5507	24	19	distributions	distribution	NOUN
ejpam-5507	24	20	are	be	AUX
ejpam-5507	24	21	required	require	VERB
ejpam-5507	24	22	.	.	PUNCT
ejpam-5507	25	1	investigation	investigation	NOUN
ejpam-5507	25	2	of	of	ADP
ejpam-5507	25	3	the	the	DET
ejpam-5507	25	4	bivariate	bivariate	ADJ
ejpam-5507	25	5	and	and	CCONJ
ejpam-5507	25	6	multivariate	multivariate	NOUN
ejpam-5507	25	7	distributions	distribution	NOUN
ejpam-5507	25	8	is	be	AUX
ejpam-5507	25	9	not	not	PART
ejpam-5507	25	10	widespread	widespread	ADJ
ejpam-5507	25	11	as	as	SCONJ
ejpam-5507	25	12	compared	compare	VERB
ejpam-5507	25	13	with	with	ADP
ejpam-5507	25	14	the	the	DET
ejpam-5507	25	15	univariate	univariate	ADJ
ejpam-5507	25	16	probability	probability	NOUN
ejpam-5507	25	17	distributions	distribution	NOUN
ejpam-5507	25	18	,	,	PUNCT
ejpam-5507	25	19	but	but	CCONJ
ejpam-5507	25	20	in	in	ADP
ejpam-5507	25	21	the	the	DET
ejpam-5507	25	22	last	last	ADJ
ejpam-5507	25	23	few	few	ADJ
ejpam-5507	25	24	decades	decade	NOUN
ejpam-5507	25	25	,	,	PUNCT
ejpam-5507	25	26	various	various	ADJ
ejpam-5507	25	27	researchers	researcher	NOUN
ejpam-5507	25	28	have	have	AUX
ejpam-5507	25	29	proposed	propose	VERB
ejpam-5507	25	30	a	a	DET
ejpam-5507	25	31	significant	significant	ADJ
ejpam-5507	25	32	number	number	NOUN
ejpam-5507	25	33	of	of	ADP
ejpam-5507	25	34	bivariate	bivariate	ADJ
ejpam-5507	25	35	distributions	distribution	NOUN
ejpam-5507	25	36	from	from	ADP
ejpam-5507	25	37	their	their	PRON
ejpam-5507	25	38	marginals	marginal	NOUN
ejpam-5507	25	39	.	.	PUNCT
ejpam-5507	26	1	over	over	ADP
ejpam-5507	26	2	the	the	DET
ejpam-5507	26	3	last	last	ADJ
ejpam-5507	26	4	few	few	ADJ
ejpam-5507	26	5	decades	decade	NOUN
ejpam-5507	26	6	,	,	PUNCT
ejpam-5507	26	7	various	various	ADJ
ejpam-5507	26	8	techniques	technique	NOUN
ejpam-5507	26	9	for	for	ADP
ejpam-5507	26	10	generating	generate	VERB
ejpam-5507	26	11	new	new	ADJ
ejpam-5507	26	12	probability	probability	NOUN
ejpam-5507	26	13	distributions	distribution	NOUN
ejpam-5507	26	14	have	have	AUX
ejpam-5507	26	15	been	be	AUX
ejpam-5507	26	16	proposed	propose	VERB
ejpam-5507	26	17	.	.	PUNCT
ejpam-5507	27	1	one	one	NUM
ejpam-5507	27	2	of	of	ADP
ejpam-5507	27	3	these	these	DET
ejpam-5507	27	4	techniques	technique	NOUN
ejpam-5507	27	5	is	be	AUX
ejpam-5507	27	6	the	the	DET
ejpam-5507	27	7	transformed	transform	VERB
ejpam-5507	27	8	-	-	PUNCT
ejpam-5507	27	9	transformer	transformer	NOUN
ejpam-5507	27	10	approach	approach	NOUN
ejpam-5507	27	11	,	,	PUNCT
ejpam-5507	27	12	which	which	PRON
ejpam-5507	27	13	was	be	AUX
ejpam-5507	27	14	first	first	ADV
ejpam-5507	27	15	introduced	introduce	VERB
ejpam-5507	27	16	by	by	ADP
ejpam-5507	27	17	[	[	X
ejpam-5507	27	18	7	7	NUM
ejpam-5507	27	19	]	]	PUNCT
ejpam-5507	27	20	,	,	PUNCT
ejpam-5507	27	21	as	as	ADP
ejpam-5507	27	22	an	an	DET
ejpam-5507	27	23	extensive	extensive	ADJ
ejpam-5507	27	24	family	family	NOUN
ejpam-5507	27	25	of	of	ADP
ejpam-5507	27	26	univariate	univariate	ADJ
ejpam-5507	27	27	distributions	distribution	NOUN
ejpam-5507	27	28	.	.	PUNCT
ejpam-5507	28	1	this	this	DET
ejpam-5507	28	2	family	family	NOUN
ejpam-5507	28	3	of	of	ADP
ejpam-5507	28	4	distributions	distribution	NOUN
ejpam-5507	28	5	provides	provide	VERB
ejpam-5507	28	6	several	several	ADJ
ejpam-5507	28	7	families	family	NOUN
ejpam-5507	28	8	as	as	ADP
ejpam-5507	28	9	special	special	ADJ
ejpam-5507	28	10	cases	case	NOUN
ejpam-5507	28	11	.	.	PUNCT
ejpam-5507	29	1	the	the	DET
ejpam-5507	29	2	beta	beta	NOUN
ejpam-5507	29	3	-	-	PUNCT
ejpam-5507	29	4	generated	generate	VERB
ejpam-5507	29	5	family	family	NOUN
ejpam-5507	29	6	of	of	ADP
ejpam-5507	29	7	distributions	distribution	NOUN
ejpam-5507	29	8	,	,	PUNCT
ejpam-5507	29	9	proposed	propose	VERB
ejpam-5507	29	10	by	by	ADP
ejpam-5507	29	11	[	[	X
ejpam-5507	29	12	15	15	NUM
ejpam-5507	29	13	]	]	PUNCT
ejpam-5507	29	14	,	,	PUNCT
ejpam-5507	29	15	is	be	AUX
ejpam-5507	29	16	another	another	DET
ejpam-5507	29	17	popular	popular	ADJ
ejpam-5507	29	18	family	family	NOUN
ejpam-5507	29	19	of	of	ADP
ejpam-5507	29	20	distributions	distribution	NOUN
ejpam-5507	29	21	.	.	PUNCT
ejpam-5507	30	1	this	this	DET
ejpam-5507	30	2	family	family	NOUN
ejpam-5507	30	3	has	have	AUX
ejpam-5507	30	4	attracted	attract	VERB
ejpam-5507	30	5	various	various	ADJ
ejpam-5507	30	6	authors	author	NOUN
ejpam-5507	30	7	to	to	PART
ejpam-5507	30	8	propose	propose	VERB
ejpam-5507	30	9	new	new	ADJ
ejpam-5507	30	10	probability	probability	NOUN
ejpam-5507	30	11	distributions	distribution	NOUN
ejpam-5507	30	12	.	.	PUNCT
ejpam-5507	31	1	some	some	PRON
ejpam-5507	31	2	of	of	ADP
ejpam-5507	31	3	these	these	PRON
ejpam-5507	31	4	are	be	AUX
ejpam-5507	31	5	the	the	DET
ejpam-5507	31	6	beta	beta	NOUN
ejpam-5507	31	7	-	-	PUNCT
ejpam-5507	31	8	normal	normal	ADJ
ejpam-5507	31	9	distribution	distribution	NOUN
ejpam-5507	31	10	,	,	PUNCT
ejpam-5507	31	11	introduced	introduce	VERB
ejpam-5507	31	12	by	by	ADP
ejpam-5507	31	13	[	[	X
ejpam-5507	31	14	15	15	NUM
ejpam-5507	31	15	]	]	PUNCT
ejpam-5507	31	16	,	,	PUNCT
ejpam-5507	31	17	the	the	DET
ejpam-5507	31	18	beta	beta	NOUN
ejpam-5507	31	19	-	-	PUNCT
ejpam-5507	31	20	exponential	exponential	NOUN
ejpam-5507	31	21	distribution	distribution	NOUN
ejpam-5507	31	22	by	by	ADP
ejpam-5507	31	23	[	[	X
ejpam-5507	31	24	23	23	NUM
ejpam-5507	31	25	]	]	PUNCT
ejpam-5507	31	26	,	,	PUNCT
ejpam-5507	31	27	the	the	DET
ejpam-5507	31	28	beta	beta	NOUN
ejpam-5507	31	29	-	-	PUNCT
ejpam-5507	31	30	weibull	weibull	NOUN
ejpam-5507	31	31	distribution	distribution	NOUN
ejpam-5507	31	32	by	by	ADP
ejpam-5507	31	33	[	[	X
ejpam-5507	31	34	16	16	NUM
ejpam-5507	31	35	]	]	PUNCT
ejpam-5507	31	36	,	,	PUNCT
ejpam-5507	31	37	and	and	CCONJ
ejpam-5507	31	38	the	the	DET
ejpam-5507	31	39	beta	beta	NOUN
ejpam-5507	31	40	-	-	PUNCT
ejpam-5507	31	41	pareto	pareto	VERB
ejpam-5507	31	42	distribution	distribution	NOUN
ejpam-5507	31	43	by	by	ADP
ejpam-5507	31	44	[	[	X
ejpam-5507	31	45	3	3	NUM
ejpam-5507	31	46	]	]	PUNCT
ejpam-5507	31	47	,	,	PUNCT
ejpam-5507	31	48	among	among	ADP
ejpam-5507	31	49	others	other	NOUN
ejpam-5507	31	50	.	.	PUNCT
ejpam-5507	32	1	recently	recently	ADV
ejpam-5507	32	2	,	,	PUNCT
ejpam-5507	32	3	[	[	X
ejpam-5507	32	4	6	6	NUM
ejpam-5507	32	5	]	]	PUNCT
ejpam-5507	32	6	have	have	AUX
ejpam-5507	32	7	introduced	introduce	VERB
ejpam-5507	32	8	a	a	DET
ejpam-5507	32	9	new	new	ADJ
ejpam-5507	32	10	method	method	NOUN
ejpam-5507	32	11	of	of	ADP
ejpam-5507	32	12	generating	generate	VERB
ejpam-5507	32	13	truncated	truncated	ADJ
ejpam-5507	32	14	t	t	NOUN
ejpam-5507	32	15	−	−	NOUN
ejpam-5507	33	1	x	x	VERB
ejpam-5507	33	2	families	family	NOUN
ejpam-5507	33	3	of	of	ADP
ejpam-5507	33	4	distributions	distribution	NOUN
ejpam-5507	33	5	including	include	VERB
ejpam-5507	33	6	the	the	DET
ejpam-5507	33	7	right	right	ADV
ejpam-5507	33	8	-	-	PUNCT
ejpam-5507	33	9	truncated	truncated	ADJ
ejpam-5507	33	10	and	and	CCONJ
ejpam-5507	33	11	left	left	ADV
ejpam-5507	33	12	-	-	PUNCT
ejpam-5507	33	13	truncated	truncate	VERB
ejpam-5507	33	14	families	family	NOUN
ejpam-5507	33	15	of	of	ADP
ejpam-5507	33	16	distributions	distribution	NOUN
ejpam-5507	33	17	.	.	PUNCT
ejpam-5507	34	1	these	these	DET
ejpam-5507	34	2	families	family	NOUN
ejpam-5507	34	3	are	be	AUX
ejpam-5507	34	4	used	use	VERB
ejpam-5507	34	5	to	to	PART
ejpam-5507	34	6	construct	construct	VERB
ejpam-5507	34	7	new	new	ADJ
ejpam-5507	34	8	generalized	generalized	ADJ
ejpam-5507	34	9	families	family	NOUN
ejpam-5507	34	10	of	of	ADP
ejpam-5507	34	11	continuous	continuous	ADJ
ejpam-5507	34	12	distributions	distribution	NOUN
ejpam-5507	34	13	.	.	PUNCT
ejpam-5507	35	1	in	in	ADP
ejpam-5507	35	2	comparison	comparison	NOUN
ejpam-5507	35	3	of	of	ADP
ejpam-5507	35	4	the	the	DET
ejpam-5507	35	5	univariate	univariate	ADJ
ejpam-5507	35	6	distributions	distribution	NOUN
ejpam-5507	35	7	,	,	PUNCT
ejpam-5507	35	8	the	the	DET
ejpam-5507	35	9	bivariate	bivariate	ADJ
ejpam-5507	35	10	distributions	distribution	NOUN
ejpam-5507	35	11	have	have	AUX
ejpam-5507	35	12	attracted	attract	VERB
ejpam-5507	35	13	a	a	DET
ejpam-5507	35	14	less	less	ADJ
ejpam-5507	35	15	number	number	NOUN
ejpam-5507	35	16	of	of	ADP
ejpam-5507	35	17	researchers	researcher	NOUN
ejpam-5507	35	18	.	.	PUNCT
ejpam-5507	36	1	the	the	DET
ejpam-5507	36	2	bivariate	bivariate	ADJ
ejpam-5507	36	3	distribution	distribution	NOUN
ejpam-5507	36	4	is	be	AUX
ejpam-5507	36	5	defined	define	VERB
ejpam-5507	36	6	as	as	ADP
ejpam-5507	36	7	the	the	DET
ejpam-5507	36	8	joint	joint	ADJ
ejpam-5507	36	9	distribution	distribution	NOUN
ejpam-5507	36	10	of	of	ADP
ejpam-5507	36	11	two	two	NUM
ejpam-5507	36	12	random	random	ADJ
ejpam-5507	36	13	variables	variable	NOUN
ejpam-5507	36	14	.	.	PUNCT
ejpam-5507	37	1	various	various	ADJ
ejpam-5507	37	2	approaches	approach	NOUN
ejpam-5507	37	3	are	be	AUX
ejpam-5507	37	4	available	available	ADJ
ejpam-5507	37	5	to	to	PART
ejpam-5507	37	6	generate	generate	VERB
ejpam-5507	37	7	a	a	DET
ejpam-5507	37	8	bivariate	bivariate	ADJ
ejpam-5507	37	9	distribution	distribution	NOUN
ejpam-5507	37	10	from	from	ADP
ejpam-5507	37	11	the	the	DET
ejpam-5507	37	12	univariate	univariate	ADJ
ejpam-5507	37	13	marginals	marginal	NOUN
ejpam-5507	37	14	.	.	PUNCT
ejpam-5507	38	1	a	a	DET
ejpam-5507	38	2	simple	simple	ADJ
ejpam-5507	38	3	method	method	NOUN
ejpam-5507	38	4	has	have	AUX
ejpam-5507	38	5	been	be	AUX
ejpam-5507	38	6	proposed	propose	VERB
ejpam-5507	38	7	by	by	ADP
ejpam-5507	38	8	[	[	X
ejpam-5507	38	9	17	17	NUM
ejpam-5507	38	10	]	]	PUNCT
ejpam-5507	38	11	to	to	PART
ejpam-5507	38	12	generate	generate	VERB
ejpam-5507	38	13	a	a	DET
ejpam-5507	38	14	bivariate	bivariate	ADJ
ejpam-5507	38	15	distribution	distribution	NOUN
ejpam-5507	38	16	from	from	ADP
ejpam-5507	38	17	given	give	VERB
ejpam-5507	38	18	univariate	univariate	ADJ
ejpam-5507	38	19	marginals	marginal	NOUN
ejpam-5507	38	20	.	.	PUNCT
ejpam-5507	39	1	the	the	DET
ejpam-5507	39	2	joint	joint	ADJ
ejpam-5507	39	3	cumulative	cumulative	ADJ
ejpam-5507	39	4	distribution	distribution	NOUN
ejpam-5507	39	5	function	function	NOUN
ejpam-5507	39	6	of	of	ADP
ejpam-5507	39	7	this	this	DET
ejpam-5507	39	8	bivariate	bivariate	ADJ
ejpam-5507	39	9	distribution	distribution	NOUN
ejpam-5507	39	10	is	be	AUX
ejpam-5507	39	11	f	f	X
ejpam-5507	39	12	(	(	PUNCT
ejpam-5507	39	13	x1	x1	PROPN
ejpam-5507	39	14	,	,	PUNCT
ejpam-5507	39	15	x2	x2	PROPN
ejpam-5507	39	16	)	)	PUNCT
ejpam-5507	39	17	=	=	SYM
ejpam-5507	39	18	g(x1)g(x2	g(x1)g(x2	NOUN
ejpam-5507	39	19	)	)	PUNCT
ejpam-5507	40	1	[	[	X
ejpam-5507	40	2	1	1	NUM
ejpam-5507	40	3	+	+	NUM
ejpam-5507	40	4	α	α	PROPN
ejpam-5507	40	5	{	{	PUNCT
ejpam-5507	40	6	1−g(x1	1−g(x1	NUM
ejpam-5507	40	7	)	)	PUNCT
ejpam-5507	40	8	}	}	PUNCT
ejpam-5507	40	9	{	{	PUNCT
ejpam-5507	40	10	1−g(x2	1−g(x2	NUM
ejpam-5507	40	11	)	)	PUNCT
ejpam-5507	40	12	}	}	PUNCT
ejpam-5507	40	13	]	]	PUNCT
ejpam-5507	40	14	,	,	PUNCT
ejpam-5507	40	15	(	(	PUNCT
ejpam-5507	40	16	1	1	X
ejpam-5507	40	17	)	)	PUNCT
ejpam-5507	40	18	where	where	SCONJ
ejpam-5507	40	19	g(x1	g(x1	NOUN
ejpam-5507	40	20	)	)	PUNCT
ejpam-5507	40	21	and	and	CCONJ
ejpam-5507	40	22	g(x2	g(x2	NOUN
ejpam-5507	40	23	)	)	PUNCT
ejpam-5507	40	24	are	be	AUX
ejpam-5507	40	25	any	any	DET
ejpam-5507	40	26	marginal	marginal	ADJ
ejpam-5507	40	27	cdf	cdf	PROPN
ejpam-5507	40	28	′s	′s	PROPN
ejpam-5507	40	29	and	and	CCONJ
ejpam-5507	40	30	α	α	PROPN
ejpam-5507	40	31	is	be	AUX
ejpam-5507	40	32	some	some	DET
ejpam-5507	40	33	parameters	parameter	NOUN
ejpam-5507	40	34	.	.	PUNCT
ejpam-5507	41	1	a	a	DET
ejpam-5507	41	2	bivariate	bivariate	ADJ
ejpam-5507	41	3	beta	beta	ADJ
ejpam-5507	41	4	family	family	NOUN
ejpam-5507	41	5	of	of	ADP
ejpam-5507	41	6	distributions	distribution	NOUN
ejpam-5507	41	7	has	have	AUX
ejpam-5507	41	8	been	be	AUX
ejpam-5507	41	9	proposed	propose	VERB
ejpam-5507	41	10	by	by	ADP
ejpam-5507	41	11	[	[	X
ejpam-5507	41	12	28	28	NUM
ejpam-5507	41	13	]	]	PUNCT
ejpam-5507	41	14	by	by	ADP
ejpam-5507	41	15	using	use	VERB
ejpam-5507	41	16	the	the	DET
ejpam-5507	41	17	bivariate	bivariate	ADJ
ejpam-5507	41	18	beta	beta	ADJ
ejpam-5507	41	19	distribution	distribution	NOUN
ejpam-5507	41	20	of	of	ADP
ejpam-5507	41	21	[	[	X
ejpam-5507	41	22	26	26	NUM
ejpam-5507	41	23	]	]	PUNCT
ejpam-5507	41	24	.	.	PUNCT
ejpam-5507	42	1	the	the	DET
ejpam-5507	42	2	bivariate	bivariate	ADJ
ejpam-5507	42	3	gamma	gamma	NOUN
ejpam-5507	42	4	distribution	distribution	NOUN
ejpam-5507	42	5	is	be	AUX
ejpam-5507	42	6	a	a	DET
ejpam-5507	42	7	popular	popular	ADJ
ejpam-5507	42	8	bivariate	bivariate	ADJ
ejpam-5507	42	9	distribution	distribution	NOUN
ejpam-5507	42	10	.	.	PUNCT
ejpam-5507	43	1	the	the	DET
ejpam-5507	43	2	joint	joint	ADJ
ejpam-5507	43	3	density	density	NOUN
ejpam-5507	43	4	function	function	NOUN
ejpam-5507	43	5	is	be	AUX
ejpam-5507	43	6	proposed	propose	VERB
ejpam-5507	43	7	by	by	ADP
ejpam-5507	43	8	[	[	X
ejpam-5507	43	9	22	22	NUM
ejpam-5507	43	10	]	]	PUNCT
ejpam-5507	43	11	as	as	ADP
ejpam-5507	43	12	fx1	fx1	NOUN
ejpam-5507	43	13	,	,	PUNCT
ejpam-5507	43	14	x2	x2	PROPN
ejpam-5507	43	15	(	(	PUNCT
ejpam-5507	43	16	x1	x1	PROPN
ejpam-5507	43	17	,	,	PUNCT
ejpam-5507	43	18	x2	x2	PROPN
ejpam-5507	43	19	)	)	PUNCT
ejpam-5507	43	20	=	=	PUNCT
ejpam-5507	44	1	a	a	DET
ejpam-5507	44	2	b+c	b+c	PROPN
ejpam-5507	44	3	γ(b)γ(c	γ(b)γ(c	NOUN
ejpam-5507	44	4	)	)	PUNCT
ejpam-5507	44	5	xb−1	xb−1	PROPN
ejpam-5507	44	6	1	1	NUM
ejpam-5507	44	7	(	(	PUNCT
ejpam-5507	44	8	x2	x2	NOUN
ejpam-5507	44	9	−	−	PROPN
ejpam-5507	44	10	x1	x1	PROPN
ejpam-5507	44	11	)	)	PUNCT
ejpam-5507	44	12	c−1e−ax2	c−1e−ax2	NOUN
ejpam-5507	44	13	;	;	PUNCT
ejpam-5507	44	14	0	0	PUNCT
ejpam-5507	44	15	<	<	X
ejpam-5507	45	1	x1	x1	X
ejpam-5507	45	2	<	<	X
ejpam-5507	45	3	x2	x2	PROPN
ejpam-5507	45	4	(	(	PUNCT
ejpam-5507	45	5	2	2	NUM
ejpam-5507	45	6	)	)	PUNCT
ejpam-5507	45	7	where	where	SCONJ
ejpam-5507	45	8	a	a	DET
ejpam-5507	45	9	,	,	PUNCT
ejpam-5507	45	10	b	b	NOUN
ejpam-5507	45	11	,	,	PUNCT
ejpam-5507	45	12	c	c	NOUN
ejpam-5507	45	13	>	>	X
ejpam-5507	45	14	0	0	X
ejpam-5507	45	15	.	.	PUNCT
ejpam-5507	46	1	the	the	DET
ejpam-5507	46	2	marginal	marginal	ADJ
ejpam-5507	46	3	distributions	distribution	NOUN
ejpam-5507	46	4	of	of	ADP
ejpam-5507	46	5	x1	x1	PROPN
ejpam-5507	46	6	and	and	CCONJ
ejpam-5507	46	7	x2	x2	PROPN
ejpam-5507	46	8	are	be	AUX
ejpam-5507	46	9	gamma	gamma	NOUN
ejpam-5507	46	10	distributions	distribution	NOUN
ejpam-5507	46	11	,	,	PUNCT
ejpam-5507	46	12	with	with	ADP
ejpam-5507	46	13	shape	shape	NOUN
ejpam-5507	46	14	parameters	parameter	NOUN
ejpam-5507	46	15	b	b	PROPN
ejpam-5507	46	16	and	and	CCONJ
ejpam-5507	46	17	b+	b+	NOUN
ejpam-5507	46	18	c	c	NOUN
ejpam-5507	46	19	,	,	PUNCT
ejpam-5507	46	20	respectively	respectively	ADV
ejpam-5507	46	21	,	,	PUNCT
ejpam-5507	46	22	and	and	CCONJ
ejpam-5507	46	23	the	the	DET
ejpam-5507	46	24	scale	scale	NOUN
ejpam-5507	46	25	a.	a.	NOUN
ejpam-5507	46	26	over	over	ADP
ejpam-5507	46	27	the	the	DET
ejpam-5507	46	28	past	past	ADJ
ejpam-5507	46	29	years	year	NOUN
ejpam-5507	46	30	,	,	PUNCT
ejpam-5507	46	31	the	the	DET
ejpam-5507	46	32	truncated	truncated	ADJ
ejpam-5507	46	33	family	family	NOUN
ejpam-5507	46	34	of	of	ADP
ejpam-5507	46	35	distributions	distribution	NOUN
ejpam-5507	46	36	has	have	AUX
ejpam-5507	46	37	received	receive	VERB
ejpam-5507	46	38	attention	attention	NOUN
ejpam-5507	46	39	from	from	ADP
ejpam-5507	46	40	e.	e.	PROPN
ejpam-5507	46	41	alsulami	alsulami	PROPN
ejpam-5507	46	42	,	,	PUNCT
ejpam-5507	46	43	l.	l.	PROPN
ejpam-5507	46	44	al	al	PROPN
ejpam-5507	46	45	-	-	PUNCT
ejpam-5507	46	46	turk	turk	PROPN
ejpam-5507	46	47	,	,	PUNCT
ejpam-5507	46	48	m.	m.	NOUN
ejpam-5507	46	49	q.	q.	PROPN
ejpam-5507	46	50	shahbaz	shahbaz	PROPN
ejpam-5507	46	51	/	/	SYM
ejpam-5507	46	52	eur	eur	PROPN
ejpam-5507	46	53	.	.	PUNCT
ejpam-5507	47	1	j.	j.	PROPN
ejpam-5507	47	2	pure	pure	PROPN
ejpam-5507	47	3	appl	appl	PROPN
ejpam-5507	47	4	.	.	PROPN
ejpam-5507	47	5	math	math	PROPN
ejpam-5507	47	6	,	,	PUNCT
ejpam-5507	47	7	17	17	NUM
ejpam-5507	47	8	(	(	PUNCT
ejpam-5507	47	9	4	4	NUM
ejpam-5507	47	10	)	)	PUNCT
ejpam-5507	47	11	(	(	PUNCT
ejpam-5507	47	12	2024	2024	NUM
ejpam-5507	47	13	)	)	PUNCT
ejpam-5507	47	14	,	,	PUNCT
ejpam-5507	47	15	3945	3945	NUM
ejpam-5507	47	16	-	-	SYM
ejpam-5507	47	17	3972	3972	NUM
ejpam-5507	47	18	3947	3947	NUM
ejpam-5507	47	19	researchers	researcher	NOUN
ejpam-5507	47	20	.	.	PUNCT
ejpam-5507	48	1	a	a	DET
ejpam-5507	48	2	truncated	truncated	ADJ
ejpam-5507	48	3	fréchet	fréchet	NOUN
ejpam-5507	48	4	family	family	NOUN
ejpam-5507	48	5	of	of	ADP
ejpam-5507	48	6	distributions	distribution	NOUN
ejpam-5507	48	7	was	be	AUX
ejpam-5507	48	8	proposed	propose	VERB
ejpam-5507	48	9	by	by	ADP
ejpam-5507	48	10	[	[	X
ejpam-5507	48	11	1	1	NUM
ejpam-5507	48	12	]	]	PUNCT
ejpam-5507	48	13	by	by	ADP
ejpam-5507	48	14	using	use	VERB
ejpam-5507	48	15	the	the	DET
ejpam-5507	48	16	truncated	truncated	ADJ
ejpam-5507	48	17	fréchet	fréchet	NOUN
ejpam-5507	48	18	distribution	distribution	NOUN
ejpam-5507	48	19	over	over	ADP
ejpam-5507	48	20	(	(	PUNCT
ejpam-5507	48	21	0	0	NUM
ejpam-5507	48	22	,	,	PUNCT
ejpam-5507	48	23	1	1	NUM
ejpam-5507	48	24	)	)	PUNCT
ejpam-5507	48	25	.	.	PUNCT
ejpam-5507	49	1	a	a	DET
ejpam-5507	49	2	truncated	truncate	VERB
ejpam-5507	49	3	inverted	inverted	ADJ
ejpam-5507	49	4	kumaraswamy	kumaraswamy	NOUN
ejpam-5507	49	5	generated	generate	VERB
ejpam-5507	49	6	family	family	NOUN
ejpam-5507	49	7	was	be	AUX
ejpam-5507	49	8	obtained	obtain	VERB
ejpam-5507	49	9	by	by	ADP
ejpam-5507	49	10	[	[	X
ejpam-5507	49	11	9	9	NUM
ejpam-5507	49	12	]	]	PUNCT
ejpam-5507	49	13	.	.	PUNCT
ejpam-5507	50	1	a	a	DET
ejpam-5507	50	2	truncated	truncate	VERB
ejpam-5507	50	3	burr	burr	NOUN
ejpam-5507	50	4	-	-	PUNCT
ejpam-5507	50	5	g	g	PROPN
ejpam-5507	50	6	family	family	NOUN
ejpam-5507	50	7	of	of	ADP
ejpam-5507	50	8	distribution	distribution	NOUN
ejpam-5507	50	9	was	be	AUX
ejpam-5507	50	10	obtained	obtain	VERB
ejpam-5507	50	11	by	by	ADP
ejpam-5507	50	12	[	[	X
ejpam-5507	50	13	19	19	NUM
ejpam-5507	50	14	]	]	PUNCT
ejpam-5507	50	15	by	by	ADP
ejpam-5507	50	16	using	use	VERB
ejpam-5507	50	17	the	the	DET
ejpam-5507	50	18	truncated	truncate	VERB
ejpam-5507	50	19	burr	burr	NOUN
ejpam-5507	50	20	distribution	distribution	NOUN
ejpam-5507	50	21	on	on	ADP
ejpam-5507	50	22	(	(	PUNCT
ejpam-5507	50	23	0,1	0,1	NUM
ejpam-5507	50	24	)	)	PUNCT
ejpam-5507	50	25	.	.	PUNCT
ejpam-5507	51	1	a	a	DET
ejpam-5507	51	2	truncated	truncate	VERB
ejpam-5507	51	3	weibull	weibull	NOUN
ejpam-5507	51	4	-	-	PUNCT
ejpam-5507	51	5	g	g	PROPN
ejpam-5507	51	6	(	(	PUNCT
ejpam-5507	51	7	tw	tw	INTJ
ejpam-5507	51	8	-	-	PUNCT
ejpam-5507	51	9	g	g	NOUN
ejpam-5507	51	10	)	)	PUNCT
ejpam-5507	51	11	family	family	NOUN
ejpam-5507	51	12	of	of	ADP
ejpam-5507	51	13	distributions	distribution	NOUN
ejpam-5507	51	14	was	be	AUX
ejpam-5507	51	15	obtained	obtain	VERB
ejpam-5507	51	16	by	by	ADP
ejpam-5507	51	17	[	[	X
ejpam-5507	51	18	24	24	NUM
ejpam-5507	51	19	]	]	PUNCT
ejpam-5507	51	20	as	as	ADP
ejpam-5507	51	21	an	an	DET
ejpam-5507	51	22	alternative	alternative	NOUN
ejpam-5507	51	23	to	to	ADP
ejpam-5507	51	24	beta	beta	NOUN
ejpam-5507	51	25	-	-	PUNCT
ejpam-5507	51	26	g	g	NOUN
ejpam-5507	51	27	(	(	PUNCT
ejpam-5507	51	28	b	b	NOUN
ejpam-5507	51	29	-	-	PUNCT
ejpam-5507	51	30	g	g	NOUN
ejpam-5507	51	31	)	)	PUNCT
ejpam-5507	51	32	family	family	NOUN
ejpam-5507	51	33	of	of	ADP
ejpam-5507	51	34	distributions	distribution	NOUN
ejpam-5507	51	35	with	with	ADP
ejpam-5507	51	36	more	more	ADV
ejpam-5507	51	37	flexible	flexible	ADJ
ejpam-5507	51	38	hazard	hazard	NOUN
ejpam-5507	51	39	rate	rate	NOUN
ejpam-5507	51	40	and	and	CCONJ
ejpam-5507	51	41	greater	great	ADJ
ejpam-5507	51	42	reliability	reliability	NOUN
ejpam-5507	51	43	.	.	PUNCT
ejpam-5507	52	1	the	the	DET
ejpam-5507	52	2	family	family	NOUN
ejpam-5507	52	3	of	of	ADP
ejpam-5507	52	4	life	life	NOUN
ejpam-5507	52	5	-	-	PUNCT
ejpam-5507	52	6	time	time	NOUN
ejpam-5507	52	7	models	model	NOUN
ejpam-5507	52	8	using	use	VERB
ejpam-5507	52	9	a	a	DET
ejpam-5507	52	10	truncated	truncated	ADJ
ejpam-5507	52	11	negative	negative	ADJ
ejpam-5507	52	12	binomial	binomial	ADJ
ejpam-5507	52	13	distribution	distribution	NOUN
ejpam-5507	52	14	was	be	AUX
ejpam-5507	52	15	introduced	introduce	VERB
ejpam-5507	52	16	by	by	ADP
ejpam-5507	52	17	[	[	X
ejpam-5507	52	18	23	23	NUM
ejpam-5507	52	19	]	]	PUNCT
ejpam-5507	52	20	.	.	PUNCT
ejpam-5507	53	1	a	a	DET
ejpam-5507	53	2	truncated	truncated	ADJ
ejpam-5507	53	3	lomax	lomax	PROPN
ejpam-5507	53	4	distribution	distribution	NOUN
ejpam-5507	53	5	was	be	AUX
ejpam-5507	53	6	proposed	propose	VERB
ejpam-5507	53	7	by	by	ADP
ejpam-5507	53	8	[	[	X
ejpam-5507	53	9	18	18	NUM
ejpam-5507	53	10	]	]	PUNCT
ejpam-5507	53	11	by	by	ADP
ejpam-5507	53	12	using	use	VERB
ejpam-5507	53	13	a	a	DET
ejpam-5507	53	14	truncated	truncated	ADJ
ejpam-5507	53	15	lomax	lomax	NOUN
ejpam-5507	53	16	distribution	distribution	NOUN
ejpam-5507	53	17	on	on	ADP
ejpam-5507	53	18	[	[	X
ejpam-5507	53	19	0	0	NUM
ejpam-5507	53	20	,	,	PUNCT
ejpam-5507	53	21	1	1	NUM
ejpam-5507	53	22	]	]	PUNCT
ejpam-5507	53	23	.	.	PUNCT
ejpam-5507	54	1	a	a	DET
ejpam-5507	54	2	truncated	truncate	VERB
ejpam-5507	54	3	cauchy	cauchy	NOUN
ejpam-5507	54	4	power	power	NOUN
ejpam-5507	54	5	-	-	PUNCT
ejpam-5507	54	6	g	g	NOUN
ejpam-5507	54	7	family	family	NOUN
ejpam-5507	54	8	of	of	ADP
ejpam-5507	54	9	distributions	distribution	NOUN
ejpam-5507	54	10	was	be	AUX
ejpam-5507	54	11	proposed	propose	VERB
ejpam-5507	54	12	by	by	ADP
ejpam-5507	54	13	[	[	X
ejpam-5507	54	14	4	4	NUM
ejpam-5507	54	15	]	]	PUNCT
ejpam-5507	54	16	and	and	CCONJ
ejpam-5507	54	17	some	some	DET
ejpam-5507	54	18	important	important	ADJ
ejpam-5507	54	19	properties	property	NOUN
ejpam-5507	54	20	of	of	ADP
ejpam-5507	54	21	the	the	DET
ejpam-5507	54	22	proposed	propose	VERB
ejpam-5507	54	23	family	family	NOUN
ejpam-5507	54	24	were	be	AUX
ejpam-5507	54	25	studied	study	VERB
ejpam-5507	54	26	.	.	PUNCT
ejpam-5507	55	1	the	the	DET
ejpam-5507	55	2	moment	moment	NOUN
ejpam-5507	55	3	estimation	estimation	NOUN
ejpam-5507	55	4	for	for	ADP
ejpam-5507	55	5	the	the	DET
ejpam-5507	55	6	parameters	parameter	NOUN
ejpam-5507	55	7	of	of	ADP
ejpam-5507	55	8	the	the	DET
ejpam-5507	55	9	truncated	truncated	ADJ
ejpam-5507	55	10	weibull	weibull	NOUN
ejpam-5507	55	11	distribution	distribution	NOUN
ejpam-5507	55	12	was	be	AUX
ejpam-5507	55	13	studied	study	VERB
ejpam-5507	55	14	by	by	ADP
ejpam-5507	55	15	[	[	X
ejpam-5507	55	16	20	20	NUM
ejpam-5507	55	17	]	]	PUNCT
ejpam-5507	55	18	.	.	PUNCT
ejpam-5507	56	1	estimation	estimation	NOUN
ejpam-5507	56	2	of	of	ADP
ejpam-5507	56	3	the	the	DET
ejpam-5507	56	4	parameters	parameter	NOUN
ejpam-5507	56	5	of	of	ADP
ejpam-5507	56	6	truncated	truncated	ADJ
ejpam-5507	56	7	gamma	gamma	NOUN
ejpam-5507	56	8	distribution	distribution	NOUN
ejpam-5507	56	9	was	be	AUX
ejpam-5507	56	10	studied	study	VERB
ejpam-5507	56	11	by	by	ADP
ejpam-5507	56	12	[	[	X
ejpam-5507	56	13	12	12	NUM
ejpam-5507	56	14	]	]	PUNCT
ejpam-5507	56	15	.	.	PUNCT
ejpam-5507	57	1	the	the	DET
ejpam-5507	57	2	truncated	truncated	ADJ
ejpam-5507	57	3	birnbaum	birnbaum	PROPN
ejpam-5507	57	4	-	-	PUNCT
ejpam-5507	57	5	saunders	saunders	PROPN
ejpam-5507	57	6	distribution	distribution	NOUN
ejpam-5507	57	7	was	be	AUX
ejpam-5507	57	8	studied	study	VERB
ejpam-5507	57	9	by	by	ADP
ejpam-5507	57	10	[	[	X
ejpam-5507	57	11	2	2	NUM
ejpam-5507	57	12	]	]	PUNCT
ejpam-5507	57	13	.	.	PUNCT
ejpam-5507	58	1	an	an	DET
ejpam-5507	58	2	erlang	erlang	NOUN
ejpam-5507	58	3	-	-	PUNCT
ejpam-5507	58	4	truncated	truncate	VERB
ejpam-5507	58	5	exponential	exponential	ADJ
ejpam-5507	58	6	distribution	distribution	NOUN
ejpam-5507	58	7	was	be	AUX
ejpam-5507	58	8	proposed	propose	VERB
ejpam-5507	58	9	by	by	ADP
ejpam-5507	58	10	[	[	X
ejpam-5507	58	11	14	14	NUM
ejpam-5507	58	12	]	]	PUNCT
ejpam-5507	58	13	as	as	ADP
ejpam-5507	58	14	an	an	DET
ejpam-5507	58	15	extension	extension	NOUN
ejpam-5507	58	16	of	of	ADP
ejpam-5507	58	17	the	the	DET
ejpam-5507	58	18	standard	standard	ADJ
ejpam-5507	58	19	one	one	NUM
ejpam-5507	58	20	parameter	parameter	NOUN
ejpam-5507	58	21	exponential	exponential	ADJ
ejpam-5507	58	22	distribution	distribution	NOUN
ejpam-5507	58	23	,	,	PUNCT
ejpam-5507	58	24	this	this	DET
ejpam-5507	58	25	distribution	distribution	NOUN
ejpam-5507	58	26	results	result	VERB
ejpam-5507	58	27	from	from	ADP
ejpam-5507	58	28	the	the	DET
ejpam-5507	58	29	mixture	mixture	NOUN
ejpam-5507	58	30	of	of	ADP
ejpam-5507	58	31	erlang	erlang	NOUN
ejpam-5507	58	32	distribution	distribution	NOUN
ejpam-5507	58	33	and	and	CCONJ
ejpam-5507	58	34	the	the	DET
ejpam-5507	58	35	left	left	ADV
ejpam-5507	58	36	-	-	PUNCT
ejpam-5507	58	37	truncated	truncate	VERB
ejpam-5507	58	38	one	one	NUM
ejpam-5507	58	39	-	-	PUNCT
ejpam-5507	58	40	parameter	parameter	NOUN
ejpam-5507	58	41	exponential	exponential	ADJ
ejpam-5507	58	42	distribution	distribution	NOUN
ejpam-5507	58	43	.	.	PUNCT
ejpam-5507	59	1	the	the	DET
ejpam-5507	59	2	transmuted	transmuted	ADJ
ejpam-5507	59	3	erlang	erlang	PROPN
ejpam-5507	59	4	truncated	truncate	VERB
ejpam-5507	59	5	exponential	exponential	ADJ
ejpam-5507	59	6	distribution	distribution	NOUN
ejpam-5507	59	7	was	be	AUX
ejpam-5507	59	8	proposed	propose	VERB
ejpam-5507	59	9	by	by	ADP
ejpam-5507	59	10	[	[	X
ejpam-5507	59	11	25	25	NUM
ejpam-5507	59	12	]	]	PUNCT
ejpam-5507	59	13	.	.	PUNCT
ejpam-5507	60	1	this	this	DET
ejpam-5507	60	2	new	new	ADJ
ejpam-5507	60	3	distribution	distribution	NOUN
ejpam-5507	60	4	extends	extend	VERB
ejpam-5507	60	5	the	the	DET
ejpam-5507	60	6	twoparameter	twoparameter	PROPN
ejpam-5507	60	7	erlang	erlang	PROPN
ejpam-5507	60	8	truncated	truncate	VERB
ejpam-5507	60	9	exponential	exponential	ADJ
ejpam-5507	60	10	distribution	distribution	NOUN
ejpam-5507	60	11	.	.	PUNCT
ejpam-5507	61	1	a	a	DET
ejpam-5507	61	2	half	half	ADJ
ejpam-5507	61	3	-	-	PUNCT
ejpam-5507	61	4	logistic	logistic	ADJ
ejpam-5507	61	5	inverted	invert	VERB
ejpam-5507	61	6	topp	topp	PROPN
ejpam-5507	61	7	–	–	PUNCT
ejpam-5507	61	8	leone	leone	NOUN
ejpam-5507	61	9	family	family	NOUN
ejpam-5507	61	10	of	of	ADP
ejpam-5507	61	11	distributions	distribution	NOUN
ejpam-5507	61	12	was	be	AUX
ejpam-5507	61	13	proposed	propose	VERB
ejpam-5507	61	14	by	by	ADP
ejpam-5507	61	15	[	[	X
ejpam-5507	61	16	8	8	NUM
ejpam-5507	61	17	]	]	PUNCT
ejpam-5507	61	18	.	.	PUNCT
ejpam-5507	62	1	in	in	ADP
ejpam-5507	62	2	this	this	DET
ejpam-5507	62	3	paper	paper	NOUN
ejpam-5507	62	4	,	,	PUNCT
ejpam-5507	62	5	we	we	PRON
ejpam-5507	62	6	have	have	AUX
ejpam-5507	62	7	proposed	propose	VERB
ejpam-5507	62	8	a	a	DET
ejpam-5507	62	9	new	new	ADJ
ejpam-5507	62	10	method	method	NOUN
ejpam-5507	62	11	of	of	ADP
ejpam-5507	62	12	generating	generate	VERB
ejpam-5507	62	13	bivariate	bivariate	ADJ
ejpam-5507	62	14	truncated	truncated	ADJ
ejpam-5507	62	15	families	family	NOUN
ejpam-5507	62	16	of	of	ADP
ejpam-5507	62	17	distributions	distribution	NOUN
ejpam-5507	62	18	.	.	PUNCT
ejpam-5507	63	1	the	the	DET
ejpam-5507	63	2	proposed	propose	VERB
ejpam-5507	63	3	method	method	NOUN
ejpam-5507	63	4	will	will	AUX
ejpam-5507	63	5	be	be	AUX
ejpam-5507	63	6	used	use	VERB
ejpam-5507	63	7	to	to	PART
ejpam-5507	63	8	generate	generate	VERB
ejpam-5507	63	9	a	a	DET
ejpam-5507	63	10	bivariate	bivariate	ADJ
ejpam-5507	63	11	truncated	truncate	VERB
ejpam-5507	63	12	burr	burr	NOUN
ejpam-5507	63	13	family	family	NOUN
ejpam-5507	63	14	of	of	ADP
ejpam-5507	63	15	distributions	distribution	NOUN
ejpam-5507	63	16	.	.	PUNCT
ejpam-5507	64	1	the	the	DET
ejpam-5507	64	2	outline	outline	NOUN
ejpam-5507	64	3	for	for	ADP
ejpam-5507	64	4	the	the	DET
ejpam-5507	64	5	paper	paper	NOUN
ejpam-5507	64	6	follows	follow	VERB
ejpam-5507	64	7	.	.	PUNCT
ejpam-5507	65	1	the	the	DET
ejpam-5507	65	2	bivariate	bivariate	ADJ
ejpam-5507	65	3	truncated	truncated	ADJ
ejpam-5507	65	4	family	family	NOUN
ejpam-5507	65	5	of	of	ADP
ejpam-5507	65	6	distributions	distribution	NOUN
ejpam-5507	65	7	is	be	AUX
ejpam-5507	65	8	introduced	introduce	VERB
ejpam-5507	65	9	in	in	ADP
ejpam-5507	65	10	the	the	DET
ejpam-5507	65	11	following	follow	VERB
ejpam-5507	65	12	section	section	NOUN
ejpam-5507	65	13	.	.	PUNCT
ejpam-5507	66	1	the	the	DET
ejpam-5507	66	2	bivariate	bivariate	ADJ
ejpam-5507	66	3	truncated	truncated	ADJ
ejpam-5507	66	4	burr	burr	NOUN
ejpam-5507	66	5	family	family	NOUN
ejpam-5507	66	6	of	of	ADP
ejpam-5507	66	7	distribution	distribution	NOUN
ejpam-5507	66	8	is	be	AUX
ejpam-5507	66	9	proposed	propose	VERB
ejpam-5507	66	10	in	in	ADP
ejpam-5507	66	11	section	section	NOUN
ejpam-5507	66	12	3	3	NUM
ejpam-5507	66	13	.	.	PUNCT
ejpam-5507	67	1	the	the	DET
ejpam-5507	67	2	various	various	ADJ
ejpam-5507	67	3	statistical	statistical	ADJ
ejpam-5507	67	4	properties	property	NOUN
ejpam-5507	67	5	of	of	ADP
ejpam-5507	67	6	the	the	DET
ejpam-5507	67	7	proposed	propose	VERB
ejpam-5507	67	8	bivariate	bivariate	ADJ
ejpam-5507	67	9	truncated	truncated	ADJ
ejpam-5507	67	10	burr	burr	NOUN
ejpam-5507	67	11	family	family	NOUN
ejpam-5507	67	12	of	of	ADP
ejpam-5507	67	13	distributions	distribution	NOUN
ejpam-5507	67	14	are	be	AUX
ejpam-5507	67	15	explored	explore	VERB
ejpam-5507	67	16	in	in	ADP
ejpam-5507	67	17	section	section	NOUN
ejpam-5507	67	18	4	4	NUM
ejpam-5507	67	19	alongside	alongside	ADP
ejpam-5507	67	20	the	the	DET
ejpam-5507	67	21	maximum	maximum	ADJ
ejpam-5507	67	22	likelihood	likelihood	NOUN
ejpam-5507	67	23	estimation	estimation	NOUN
ejpam-5507	67	24	for	for	ADP
ejpam-5507	67	25	the	the	DET
ejpam-5507	67	26	parameters	parameter	NOUN
ejpam-5507	67	27	.	.	PUNCT
ejpam-5507	68	1	a	a	DET
ejpam-5507	68	2	bivariate	bivariate	ADJ
ejpam-5507	68	3	truncated	truncated	ADJ
ejpam-5507	68	4	burr	burr	NOUN
ejpam-5507	68	5	-	-	PUNCT
ejpam-5507	68	6	burr	burr	NOUN
ejpam-5507	68	7	distribution	distribution	NOUN
ejpam-5507	68	8	is	be	AUX
ejpam-5507	68	9	proposed	propose	VERB
ejpam-5507	68	10	in	in	ADP
ejpam-5507	68	11	section	section	NOUN
ejpam-5507	68	12	5	5	NUM
ejpam-5507	68	13	and	and	CCONJ
ejpam-5507	68	14	some	some	DET
ejpam-5507	68	15	useful	useful	ADJ
ejpam-5507	68	16	properties	property	NOUN
ejpam-5507	68	17	of	of	ADP
ejpam-5507	68	18	the	the	DET
ejpam-5507	68	19	proposed	propose	VERB
ejpam-5507	68	20	distribution	distribution	NOUN
ejpam-5507	68	21	are	be	AUX
ejpam-5507	68	22	given	give	VERB
ejpam-5507	68	23	in	in	ADP
ejpam-5507	68	24	section	section	NOUN
ejpam-5507	68	25	6	6	NUM
ejpam-5507	68	26	.	.	PUNCT
ejpam-5507	69	1	in	in	ADP
ejpam-5507	69	2	section	section	NOUN
ejpam-5507	69	3	7	7	NUM
ejpam-5507	69	4	,	,	PUNCT
ejpam-5507	69	5	three	three	NUM
ejpam-5507	69	6	real	real	ADJ
ejpam-5507	69	7	datasets	dataset	NOUN
ejpam-5507	69	8	have	have	AUX
ejpam-5507	69	9	been	be	AUX
ejpam-5507	69	10	used	use	VERB
ejpam-5507	69	11	to	to	PART
ejpam-5507	69	12	study	study	VERB
ejpam-5507	69	13	the	the	DET
ejpam-5507	69	14	suitability	suitability	NOUN
ejpam-5507	69	15	of	of	ADP
ejpam-5507	69	16	the	the	DET
ejpam-5507	69	17	the	the	DET
ejpam-5507	69	18	proposed	propose	VERB
ejpam-5507	69	19	bivariate	bivariate	ADJ
ejpam-5507	69	20	burr	burr	NOUN
ejpam-5507	69	21	-	-	PUNCT
ejpam-5507	69	22	burr	burr	NOUN
ejpam-5507	69	23	distribution	distribution	NOUN
ejpam-5507	69	24	.	.	PUNCT
ejpam-5507	70	1	finally	finally	ADV
ejpam-5507	70	2	,	,	PUNCT
ejpam-5507	70	3	conclusions	conclusion	NOUN
ejpam-5507	70	4	are	be	AUX
ejpam-5507	70	5	given	give	VERB
ejpam-5507	70	6	in	in	ADP
ejpam-5507	70	7	section	section	NOUN
ejpam-5507	70	8	8	8	NUM
ejpam-5507	70	9	.	.	NOUN
ejpam-5507	70	10	2	2	NUM
ejpam-5507	70	11	.	.	X
ejpam-5507	70	12	bivariate	bivariate	ADJ
ejpam-5507	70	13	truncated	truncated	ADJ
ejpam-5507	70	14	family	family	NOUN
ejpam-5507	70	15	of	of	ADP
ejpam-5507	70	16	distribution	distribution	NOUN
ejpam-5507	70	17	a	a	DET
ejpam-5507	70	18	truncated	truncate	VERB
ejpam-5507	70	19	distribution	distribution	NOUN
ejpam-5507	70	20	represents	represent	VERB
ejpam-5507	70	21	a	a	DET
ejpam-5507	70	22	conditional	conditional	ADJ
ejpam-5507	70	23	distribution	distribution	NOUN
ejpam-5507	70	24	that	that	PRON
ejpam-5507	70	25	is	be	AUX
ejpam-5507	70	26	confined	confine	VERB
ejpam-5507	70	27	to	to	ADP
ejpam-5507	70	28	the	the	DET
ejpam-5507	70	29	domain	domain	NOUN
ejpam-5507	70	30	of	of	ADP
ejpam-5507	70	31	a	a	DET
ejpam-5507	70	32	random	random	ADJ
ejpam-5507	70	33	variable	variable	NOUN
ejpam-5507	70	34	under	under	ADP
ejpam-5507	70	35	specific	specific	ADJ
ejpam-5507	70	36	circumstances	circumstance	NOUN
ejpam-5507	70	37	.	.	PUNCT
ejpam-5507	71	1	recently	recently	ADV
ejpam-5507	71	2	,	,	PUNCT
ejpam-5507	71	3	[	[	X
ejpam-5507	71	4	6	6	NUM
ejpam-5507	71	5	]	]	PUNCT
ejpam-5507	71	6	have	have	AUX
ejpam-5507	71	7	proposed	propose	VERB
ejpam-5507	71	8	some	some	DET
ejpam-5507	71	9	univariate	univariate	ADJ
ejpam-5507	71	10	truncated	truncated	ADJ
ejpam-5507	71	11	families	family	NOUN
ejpam-5507	71	12	of	of	ADP
ejpam-5507	71	13	distributions	distribution	NOUN
ejpam-5507	71	14	.	.	PUNCT
ejpam-5507	72	1	they	they	PRON
ejpam-5507	72	2	have	have	AUX
ejpam-5507	72	3	proposed	propose	VERB
ejpam-5507	72	4	two	two	NUM
ejpam-5507	72	5	right	right	ADV
ejpam-5507	72	6	-	-	PUNCT
ejpam-5507	72	7	truncated	truncate	VERB
ejpam-5507	72	8	families	family	NOUN
ejpam-5507	72	9	of	of	ADP
ejpam-5507	72	10	distributions	distribution	NOUN
ejpam-5507	72	11	with	with	ADP
ejpam-5507	72	12	cumulative	cumulative	ADJ
ejpam-5507	72	13	distribution	distribution	NOUN
ejpam-5507	72	14	functions	function	NOUN
ejpam-5507	72	15	fr1t−x	fr1t−x	NOUN
ejpam-5507	72	16	(	(	PUNCT
ejpam-5507	72	17	x	x	NOUN
ejpam-5507	72	18	)	)	PUNCT
ejpam-5507	72	19	=	=	SYM
ejpam-5507	72	20	1	1	NUM
ejpam-5507	72	21	rt	rt	PROPN
ejpam-5507	72	22	(	(	PUNCT
ejpam-5507	72	23	a	a	NOUN
ejpam-5507	72	24	)	)	PUNCT
ejpam-5507	72	25	∫	∫	PROPN
ejpam-5507	72	26	w1[g(x	w1[g(x	X
ejpam-5507	72	27	)	)	PUNCT
ejpam-5507	72	28	]	]	PUNCT
ejpam-5507	72	29	0	0	PUNCT
ejpam-5507	73	1	r	r	NOUN
ejpam-5507	73	2	(	(	PUNCT
ejpam-5507	73	3	t	t	NOUN
ejpam-5507	73	4	)	)	PUNCT
ejpam-5507	73	5	dt	dt	X
ejpam-5507	73	6	(	(	PUNCT
ejpam-5507	73	7	3	3	NUM
ejpam-5507	73	8	)	)	PUNCT
ejpam-5507	73	9	and	and	CCONJ
ejpam-5507	73	10	fr2t−x	fr2t−x	PROPN
ejpam-5507	73	11	(	(	PUNCT
ejpam-5507	73	12	x	x	NOUN
ejpam-5507	73	13	)	)	PUNCT
ejpam-5507	73	14	=	=	SYM
ejpam-5507	73	15	1	1	NUM
ejpam-5507	73	16	rt	rt	PROPN
ejpam-5507	73	17	(	(	PUNCT
ejpam-5507	73	18	a	a	NOUN
ejpam-5507	73	19	)	)	PUNCT
ejpam-5507	73	20	∫	∫	PROPN
ejpam-5507	73	21	a	a	DET
ejpam-5507	73	22	w2[g(x	w2[g(x	NOUN
ejpam-5507	73	23	)	)	PUNCT
ejpam-5507	73	24	]	]	X
ejpam-5507	74	1	r	r	NOUN
ejpam-5507	74	2	(	(	PUNCT
ejpam-5507	74	3	t	t	NOUN
ejpam-5507	74	4	)	)	PUNCT
ejpam-5507	74	5	dt	dt	NOUN
ejpam-5507	74	6	,	,	PUNCT
ejpam-5507	74	7	(	(	PUNCT
ejpam-5507	74	8	4	4	X
ejpam-5507	74	9	)	)	PUNCT
ejpam-5507	74	10	e.	e.	PROPN
ejpam-5507	74	11	alsulami	alsulami	PROPN
ejpam-5507	74	12	,	,	PUNCT
ejpam-5507	74	13	l.	l.	PROPN
ejpam-5507	74	14	al	al	PROPN
ejpam-5507	74	15	-	-	PUNCT
ejpam-5507	74	16	turk	turk	PROPN
ejpam-5507	74	17	,	,	PUNCT
ejpam-5507	74	18	m.	m.	NOUN
ejpam-5507	74	19	q.	q.	PROPN
ejpam-5507	74	20	shahbaz	shahbaz	PROPN
ejpam-5507	74	21	/	/	SYM
ejpam-5507	74	22	eur	eur	PROPN
ejpam-5507	74	23	.	.	PUNCT
ejpam-5507	75	1	j.	j.	PROPN
ejpam-5507	75	2	pure	pure	PROPN
ejpam-5507	75	3	appl	appl	PROPN
ejpam-5507	75	4	.	.	PROPN
ejpam-5507	75	5	math	math	PROPN
ejpam-5507	75	6	,	,	PUNCT
ejpam-5507	75	7	17	17	NUM
ejpam-5507	75	8	(	(	PUNCT
ejpam-5507	75	9	4	4	NUM
ejpam-5507	75	10	)	)	PUNCT
ejpam-5507	75	11	(	(	PUNCT
ejpam-5507	75	12	2024	2024	NUM
ejpam-5507	75	13	)	)	PUNCT
ejpam-5507	75	14	,	,	PUNCT
ejpam-5507	75	15	3945	3945	NUM
ejpam-5507	75	16	-	-	SYM
ejpam-5507	75	17	3972	3972	NUM
ejpam-5507	75	18	3948	3948	NUM
ejpam-5507	75	19	where	where	SCONJ
ejpam-5507	75	20	r	r	NOUN
ejpam-5507	75	21	(	(	PUNCT
ejpam-5507	75	22	t	t	PROPN
ejpam-5507	75	23	)	)	PUNCT
ejpam-5507	75	24	is	be	AUX
ejpam-5507	75	25	density	density	NOUN
ejpam-5507	75	26	function	function	NOUN
ejpam-5507	75	27	of	of	ADP
ejpam-5507	75	28	some	some	DET
ejpam-5507	75	29	random	random	ADJ
ejpam-5507	75	30	variable	variable	NOUN
ejpam-5507	75	31	defined	define	VERB
ejpam-5507	75	32	on	on	ADP
ejpam-5507	75	33	r+	r+	X
ejpam-5507	75	34	,	,	PUNCT
ejpam-5507	75	35	rt	rt	PROPN
ejpam-5507	75	36	(	(	PUNCT
ejpam-5507	75	37	a	a	NOUN
ejpam-5507	75	38	)	)	PUNCT
ejpam-5507	75	39	is	be	AUX
ejpam-5507	75	40	cumulative	cumulative	ADJ
ejpam-5507	75	41	distribution	distribution	NOUN
ejpam-5507	75	42	function	function	NOUN
ejpam-5507	75	43	of	of	ADP
ejpam-5507	75	44	t	t	PROPN
ejpam-5507	75	45	at	at	ADP
ejpam-5507	75	46	a	a	DET
ejpam-5507	75	47	,	,	PUNCT
ejpam-5507	75	48	w1	w1	NOUN
ejpam-5507	76	1	[	[	X
ejpam-5507	76	2	g	g	X
ejpam-5507	76	3	(	(	PUNCT
ejpam-5507	76	4	x	x	NOUN
ejpam-5507	76	5	)	)	PUNCT
ejpam-5507	76	6	]	]	PUNCT
ejpam-5507	76	7	and	and	CCONJ
ejpam-5507	76	8	w2	w2	NOUN
ejpam-5507	76	9	[	[	X
ejpam-5507	76	10	g	g	PROPN
ejpam-5507	76	11	(	(	PUNCT
ejpam-5507	76	12	x	x	NOUN
ejpam-5507	76	13	)	)	PUNCT
ejpam-5507	76	14	]	]	PUNCT
ejpam-5507	76	15	are	be	AUX
ejpam-5507	76	16	any	any	DET
ejpam-5507	76	17	real	real	ADV
ejpam-5507	76	18	valued	value	VERB
ejpam-5507	76	19	functions	function	NOUN
ejpam-5507	76	20	of	of	ADP
ejpam-5507	76	21	g	g	PROPN
ejpam-5507	76	22	(	(	PUNCT
ejpam-5507	76	23	x	x	NOUN
ejpam-5507	76	24	)	)	PUNCT
ejpam-5507	76	25	such	such	ADJ
ejpam-5507	76	26	that	that	DET
ejpam-5507	76	27	w1	w1	NOUN
ejpam-5507	76	28	(	(	PUNCT
ejpam-5507	76	29	0	0	NUM
ejpam-5507	76	30	)	)	PUNCT
ejpam-5507	76	31	→	→	SYM
ejpam-5507	77	1	0,w1	0,w1	CCONJ
ejpam-5507	77	2	(	(	PUNCT
ejpam-5507	77	3	1	1	NUM
ejpam-5507	77	4	)	)	PUNCT
ejpam-5507	77	5	→	→	SYM
ejpam-5507	77	6	a	a	DET
ejpam-5507	77	7	,	,	PUNCT
ejpam-5507	77	8	w2	w2	NOUN
ejpam-5507	77	9	(	(	PUNCT
ejpam-5507	77	10	0	0	NUM
ejpam-5507	77	11	)	)	PUNCT
ejpam-5507	77	12	→	→	SYM
ejpam-5507	77	13	a	a	PRON
ejpam-5507	77	14	and	and	CCONJ
ejpam-5507	77	15	w2	w2	NOUN
ejpam-5507	77	16	(	(	PUNCT
ejpam-5507	77	17	1	1	NUM
ejpam-5507	77	18	)	)	PUNCT
ejpam-5507	77	19	→	→	SYM
ejpam-5507	77	20	0	0	X
ejpam-5507	77	21	.	.	PUNCT
ejpam-5507	78	1	it	it	PRON
ejpam-5507	78	2	has	have	AUX
ejpam-5507	78	3	been	be	AUX
ejpam-5507	78	4	shown	show	VERB
ejpam-5507	78	5	by	by	ADP
ejpam-5507	78	6	[	[	X
ejpam-5507	78	7	6	6	NUM
ejpam-5507	78	8	]	]	PUNCT
ejpam-5507	78	9	that	that	DET
ejpam-5507	78	10	w1	w1	NOUN
ejpam-5507	78	11	(	(	PUNCT
ejpam-5507	78	12	x	x	X
ejpam-5507	78	13	)	)	PUNCT
ejpam-5507	78	14	=	=	SYM
ejpam-5507	78	15	ax	ax	NOUN
ejpam-5507	78	16	and	and	CCONJ
ejpam-5507	78	17	w2	w2	NOUN
ejpam-5507	78	18	(	(	PUNCT
ejpam-5507	78	19	x	x	X
ejpam-5507	78	20	)	)	PUNCT
ejpam-5507	78	21	=	=	SYM
ejpam-5507	78	22	a	a	PRON
ejpam-5507	78	23	(	(	PUNCT
ejpam-5507	78	24	1−	1−	NUM
ejpam-5507	78	25	x	x	X
ejpam-5507	78	26	)	)	PUNCT
ejpam-5507	78	27	can	can	AUX
ejpam-5507	78	28	be	be	AUX
ejpam-5507	78	29	some	some	DET
ejpam-5507	78	30	suitable	suitable	ADJ
ejpam-5507	78	31	choices	choice	NOUN
ejpam-5507	78	32	to	to	PART
ejpam-5507	78	33	propose	propose	VERB
ejpam-5507	78	34	the	the	DET
ejpam-5507	78	35	new	new	ADJ
ejpam-5507	78	36	families	family	NOUN
ejpam-5507	78	37	of	of	ADP
ejpam-5507	78	38	distributions	distribution	NOUN
ejpam-5507	78	39	.	.	PUNCT
ejpam-5507	79	1	recently	recently	ADV
ejpam-5507	79	2	,	,	PUNCT
ejpam-5507	79	3	[	[	X
ejpam-5507	79	4	5	5	NUM
ejpam-5507	79	5	]	]	PUNCT
ejpam-5507	79	6	have	have	AUX
ejpam-5507	79	7	proposed	propose	VERB
ejpam-5507	79	8	a	a	DET
ejpam-5507	79	9	bivariate	bivariate	ADJ
ejpam-5507	79	10	extension	extension	NOUN
ejpam-5507	79	11	of	of	ADP
ejpam-5507	79	12	the	the	DET
ejpam-5507	79	13	truncated	truncated	ADJ
ejpam-5507	79	14	family	family	NOUN
ejpam-5507	79	15	of	of	ADP
ejpam-5507	79	16	distributions	distribution	NOUN
ejpam-5507	79	17	.	.	PUNCT
ejpam-5507	80	1	the	the	DET
ejpam-5507	80	2	joint	joint	ADJ
ejpam-5507	80	3	cdf	cdf	PROPN
ejpam-5507	80	4	of	of	ADP
ejpam-5507	80	5	the	the	DET
ejpam-5507	80	6	proposed	propose	VERB
ejpam-5507	80	7	bivariate	bivariate	ADJ
ejpam-5507	80	8	family	family	NOUN
ejpam-5507	80	9	of	of	ADP
ejpam-5507	80	10	distributions	distribution	NOUN
ejpam-5507	80	11	is	be	AUX
ejpam-5507	80	12	fr1t1t2−x1x2	fr1t1t2−x1x2	NOUN
ejpam-5507	80	13	(	(	PUNCT
ejpam-5507	80	14	x1	x1	PROPN
ejpam-5507	80	15	,	,	PUNCT
ejpam-5507	80	16	x2	x2	PROPN
ejpam-5507	80	17	)	)	PUNCT
ejpam-5507	80	18	=	=	SYM
ejpam-5507	80	19	1	1	NUM
ejpam-5507	80	20	r	r	NOUN
ejpam-5507	80	21	(	(	PUNCT
ejpam-5507	80	22	a1	a1	PROPN
ejpam-5507	80	23	,	,	PUNCT
ejpam-5507	80	24	a2	a2	PROPN
ejpam-5507	80	25	)	)	PUNCT
ejpam-5507	80	26	∫	∫	PROPN
ejpam-5507	80	27	w11[g1(x1	w11[g1(x1	PROPN
ejpam-5507	80	28	)	)	PUNCT
ejpam-5507	80	29	]	]	PUNCT
ejpam-5507	80	30	0	0	NUM
ejpam-5507	80	31	∫	∫	PROPN
ejpam-5507	80	32	w21[g2(x2	w21[g2(x2	NOUN
ejpam-5507	80	33	)	)	PUNCT
ejpam-5507	80	34	]	]	PUNCT
ejpam-5507	81	1	0	0	PUNCT
ejpam-5507	81	2	r	r	NOUN
ejpam-5507	81	3	(	(	PUNCT
ejpam-5507	81	4	t1	t1	NOUN
ejpam-5507	81	5	,	,	PUNCT
ejpam-5507	81	6	t2	t2	NOUN
ejpam-5507	81	7	)	)	PUNCT
ejpam-5507	81	8	dt1dt2	dt1dt2	NOUN
ejpam-5507	81	9	,	,	PUNCT
ejpam-5507	81	10	(	(	PUNCT
ejpam-5507	81	11	5	5	NUM
ejpam-5507	81	12	)	)	PUNCT
ejpam-5507	81	13	where	where	SCONJ
ejpam-5507	81	14	r	r	NOUN
ejpam-5507	81	15	(	(	PUNCT
ejpam-5507	81	16	t1	t1	NOUN
ejpam-5507	81	17	,	,	PUNCT
ejpam-5507	81	18	t2	t2	NOUN
ejpam-5507	81	19	)	)	PUNCT
ejpam-5507	81	20	is	be	AUX
ejpam-5507	81	21	some	some	DET
ejpam-5507	81	22	bivariate	bivariate	ADJ
ejpam-5507	81	23	distribution	distribution	NOUN
ejpam-5507	81	24	with	with	ADP
ejpam-5507	81	25	domain	domain	NOUN
ejpam-5507	81	26	on	on	ADP
ejpam-5507	81	27	r2	r2	PROPN
ejpam-5507	82	1	+	+	PROPN
ejpam-5507	82	2	,	,	PUNCT
ejpam-5507	82	3	r	r	NOUN
ejpam-5507	82	4	(	(	PUNCT
ejpam-5507	82	5	a1	a1	PROPN
ejpam-5507	82	6	,	,	PUNCT
ejpam-5507	82	7	a2	a2	PROPN
ejpam-5507	82	8	)	)	PUNCT
ejpam-5507	82	9	is	be	AUX
ejpam-5507	82	10	joint	joint	ADJ
ejpam-5507	82	11	distribution	distribution	NOUN
ejpam-5507	82	12	function	function	NOUN
ejpam-5507	82	13	of	of	ADP
ejpam-5507	82	14	(	(	PUNCT
ejpam-5507	82	15	t1	t1	NOUN
ejpam-5507	82	16	,	,	PUNCT
ejpam-5507	82	17	t2	t2	NOUN
ejpam-5507	82	18	)	)	PUNCT
ejpam-5507	82	19	at	at	ADP
ejpam-5507	82	20	(	(	PUNCT
ejpam-5507	82	21	a1	a1	PROPN
ejpam-5507	82	22	,	,	PUNCT
ejpam-5507	82	23	a2	a2	PROPN
ejpam-5507	82	24	)	)	PUNCT
ejpam-5507	82	25	,	,	PUNCT
ejpam-5507	83	1	w11	w11	PROPN
ejpam-5507	84	1	[	[	X
ejpam-5507	84	2	g1	g1	PROPN
ejpam-5507	84	3	(	(	PUNCT
ejpam-5507	84	4	x1	x1	PROPN
ejpam-5507	84	5	)	)	PUNCT
ejpam-5507	84	6	]	]	PUNCT
ejpam-5507	84	7	and	and	CCONJ
ejpam-5507	84	8	w21	w21	PROPN
ejpam-5507	85	1	[	[	X
ejpam-5507	85	2	g2	g2	PROPN
ejpam-5507	85	3	(	(	PUNCT
ejpam-5507	85	4	x2	x2	PROPN
ejpam-5507	85	5	)	)	PUNCT
ejpam-5507	85	6	]	]	PUNCT
ejpam-5507	85	7	are	be	AUX
ejpam-5507	85	8	some	some	DET
ejpam-5507	85	9	functions	function	NOUN
ejpam-5507	85	10	of	of	ADP
ejpam-5507	85	11	g	g	PROPN
ejpam-5507	85	12	(	(	PUNCT
ejpam-5507	85	13	x1	x1	PROPN
ejpam-5507	85	14	)	)	PUNCT
ejpam-5507	85	15	and	and	CCONJ
ejpam-5507	85	16	g	g	PROPN
ejpam-5507	85	17	(	(	PUNCT
ejpam-5507	85	18	x2	x2	PROPN
ejpam-5507	85	19	)	)	PUNCT
ejpam-5507	85	20	such	such	ADJ
ejpam-5507	85	21	that	that	SCONJ
ejpam-5507	85	22	w11	w11	NOUN
ejpam-5507	85	23	(	(	PUNCT
ejpam-5507	85	24	0	0	NUM
ejpam-5507	85	25	)	)	PUNCT
ejpam-5507	85	26	=	=	SYM
ejpam-5507	85	27	w21	w21	NOUN
ejpam-5507	85	28	(	(	PUNCT
ejpam-5507	85	29	0	0	NUM
ejpam-5507	85	30	)	)	PUNCT
ejpam-5507	85	31	→	→	SYM
ejpam-5507	85	32	0,w11	0,w11	NUM
ejpam-5507	85	33	(	(	PUNCT
ejpam-5507	85	34	1	1	NUM
ejpam-5507	85	35	)	)	PUNCT
ejpam-5507	85	36	→	→	SYM
ejpam-5507	85	37	a1	a1	NOUN
ejpam-5507	85	38	and	and	CCONJ
ejpam-5507	85	39	w21	w21	NOUN
ejpam-5507	85	40	(	(	PUNCT
ejpam-5507	85	41	1	1	NUM
ejpam-5507	85	42	)	)	PUNCT
ejpam-5507	85	43	→	→	SYM
ejpam-5507	85	44	a2	a2	PROPN
ejpam-5507	85	45	.	.	PUNCT
ejpam-5507	86	1	a	a	DET
ejpam-5507	86	2	simpler	simple	ADJ
ejpam-5507	86	3	version	version	NOUN
ejpam-5507	86	4	is	be	AUX
ejpam-5507	86	5	also	also	ADV
ejpam-5507	86	6	proposed	propose	VERB
ejpam-5507	86	7	by	by	ADP
ejpam-5507	86	8	[	[	X
ejpam-5507	86	9	5	5	NUM
ejpam-5507	86	10	]	]	PUNCT
ejpam-5507	86	11	and	and	CCONJ
ejpam-5507	86	12	the	the	DET
ejpam-5507	86	13	joint	joint	ADJ
ejpam-5507	86	14	distribution	distribution	NOUN
ejpam-5507	86	15	function	function	NOUN
ejpam-5507	86	16	of	of	ADP
ejpam-5507	86	17	this	this	DET
ejpam-5507	86	18	version	version	NOUN
ejpam-5507	86	19	is	be	AUX
ejpam-5507	86	20	given	give	VERB
ejpam-5507	86	21	as	as	ADP
ejpam-5507	86	22	fr1t1t2−x1x2	fr1t1t2−x1x2	NOUN
ejpam-5507	86	23	(	(	PUNCT
ejpam-5507	86	24	x1	x1	PROPN
ejpam-5507	86	25	,	,	PUNCT
ejpam-5507	86	26	x2	x2	PROPN
ejpam-5507	86	27	)	)	PUNCT
ejpam-5507	86	28	=	=	SYM
ejpam-5507	86	29	1	1	NUM
ejpam-5507	86	30	r	r	NOUN
ejpam-5507	86	31	(	(	PUNCT
ejpam-5507	86	32	a1	a1	PROPN
ejpam-5507	86	33	,	,	PUNCT
ejpam-5507	86	34	a2	a2	PROPN
ejpam-5507	86	35	)	)	PUNCT
ejpam-5507	86	36	∫	∫	PROPN
ejpam-5507	86	37	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	86	38	)	)	PUNCT
ejpam-5507	86	39	0	0	NUM
ejpam-5507	86	40	∫	∫	PROPN
ejpam-5507	86	41	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	86	42	)	)	PUNCT
ejpam-5507	86	43	0	0	NUM
ejpam-5507	87	1	r	r	NOUN
ejpam-5507	87	2	(	(	PUNCT
ejpam-5507	87	3	t1	t1	NOUN
ejpam-5507	87	4	,	,	PUNCT
ejpam-5507	87	5	t2	t2	NOUN
ejpam-5507	87	6	)	)	PUNCT
ejpam-5507	87	7	dt1dt2	dt1dt2	NOUN
ejpam-5507	87	8	.	.	PUNCT
ejpam-5507	88	1	(	(	PUNCT
ejpam-5507	88	2	6	6	NUM
ejpam-5507	88	3	)	)	PUNCT
ejpam-5507	88	4	the	the	DET
ejpam-5507	88	5	density	density	NOUN
ejpam-5507	88	6	function	function	NOUN
ejpam-5507	88	7	corresponding	correspond	VERB
ejpam-5507	88	8	to	to	ADP
ejpam-5507	88	9	above	above	ADP
ejpam-5507	88	10	joint	joint	ADJ
ejpam-5507	88	11	distribution	distribution	NOUN
ejpam-5507	88	12	function	function	NOUN
ejpam-5507	88	13	is	be	AUX
ejpam-5507	88	14	fr1	fr1	PROPN
ejpam-5507	88	15	(	(	PUNCT
ejpam-5507	88	16	x1	x1	PROPN
ejpam-5507	88	17	,	,	PUNCT
ejpam-5507	88	18	x2	x2	PROPN
ejpam-5507	88	19	)	)	PUNCT
ejpam-5507	88	20	=	=	SYM
ejpam-5507	88	21	a1a2g1	a1a2g1	PROPN
ejpam-5507	88	22	(	(	PUNCT
ejpam-5507	88	23	x1	x1	PROPN
ejpam-5507	88	24	)	)	PUNCT
ejpam-5507	88	25	g2	g2	PROPN
ejpam-5507	88	26	(	(	PUNCT
ejpam-5507	88	27	x2	x2	PROPN
ejpam-5507	88	28	)	)	PUNCT
ejpam-5507	88	29	r	r	NOUN
ejpam-5507	89	1	[	[	X
ejpam-5507	89	2	a1g1	a1g1	X
ejpam-5507	89	3	(	(	PUNCT
ejpam-5507	89	4	x1	x1	PROPN
ejpam-5507	89	5	)	)	PUNCT
ejpam-5507	89	6	,	,	PUNCT
ejpam-5507	89	7	a2g2	a2g2	PROPN
ejpam-5507	89	8	(	(	PUNCT
ejpam-5507	89	9	x2	x2	PROPN
ejpam-5507	89	10	)	)	PUNCT
ejpam-5507	89	11	]	]	PUNCT
ejpam-5507	90	1	r	r	NOUN
ejpam-5507	90	2	(	(	PUNCT
ejpam-5507	90	3	a1	a1	PROPN
ejpam-5507	90	4	,	,	PUNCT
ejpam-5507	90	5	a2	a2	PROPN
ejpam-5507	90	6	)	)	PUNCT
ejpam-5507	90	7	,	,	PUNCT
ejpam-5507	90	8	(	(	PUNCT
ejpam-5507	90	9	7	7	X
ejpam-5507	90	10	)	)	PUNCT
ejpam-5507	90	11	where	where	SCONJ
ejpam-5507	90	12	g1	g1	PROPN
ejpam-5507	90	13	(	(	PUNCT
ejpam-5507	90	14	x1	x1	PROPN
ejpam-5507	90	15	)	)	PUNCT
ejpam-5507	90	16	and	and	CCONJ
ejpam-5507	90	17	g2	g2	PROPN
ejpam-5507	90	18	(	(	PUNCT
ejpam-5507	90	19	x2	x2	PROPN
ejpam-5507	90	20	)	)	PUNCT
ejpam-5507	90	21	are	be	AUX
ejpam-5507	90	22	density	density	NOUN
ejpam-5507	90	23	functions	function	NOUN
ejpam-5507	90	24	corresponding	correspond	VERB
ejpam-5507	90	25	to	to	ADP
ejpam-5507	90	26	g1	g1	PROPN
ejpam-5507	90	27	(	(	PUNCT
ejpam-5507	90	28	x1	x1	PROPN
ejpam-5507	90	29	)	)	PUNCT
ejpam-5507	90	30	and	and	CCONJ
ejpam-5507	90	31	g2	g2	PROPN
ejpam-5507	90	32	(	(	PUNCT
ejpam-5507	90	33	x2	x2	PROPN
ejpam-5507	90	34	)	)	PUNCT
ejpam-5507	90	35	.	.	PUNCT
ejpam-5507	91	1	a	a	DET
ejpam-5507	91	2	bivariate	bivariate	ADJ
ejpam-5507	91	3	truncated	truncated	ADJ
ejpam-5507	91	4	burr	burr	NOUN
ejpam-5507	91	5	family	family	NOUN
ejpam-5507	91	6	of	of	ADP
ejpam-5507	91	7	distributions	distribution	NOUN
ejpam-5507	91	8	has	have	AUX
ejpam-5507	91	9	been	be	AUX
ejpam-5507	91	10	proposed	propose	VERB
ejpam-5507	91	11	by	by	ADP
ejpam-5507	91	12	[	[	X
ejpam-5507	91	13	5	5	NUM
ejpam-5507	91	14	]	]	PUNCT
ejpam-5507	91	15	by	by	ADP
ejpam-5507	91	16	using	use	VERB
ejpam-5507	91	17	r(t1	r(t1	NOUN
ejpam-5507	91	18	,	,	PUNCT
ejpam-5507	91	19	t2	t2	NOUN
ejpam-5507	91	20	)	)	PUNCT
ejpam-5507	91	21	=	=	PUNCT
ejpam-5507	92	1	α(α+	α(α+	NUM
ejpam-5507	92	2	1)β1β2x	1)β1β2x	NUM
ejpam-5507	92	3	(	(	PUNCT
ejpam-5507	92	4	β1−1	β1−1	NOUN
ejpam-5507	92	5	)	)	PUNCT
ejpam-5507	92	6	1	1	NUM
ejpam-5507	92	7	x	x	SYM
ejpam-5507	92	8	(	(	PUNCT
ejpam-5507	92	9	β2−1	β2−1	NOUN
ejpam-5507	92	10	)	)	PUNCT
ejpam-5507	92	11	2	2	NUM
ejpam-5507	92	12	(	(	PUNCT
ejpam-5507	92	13	1	1	NUM
ejpam-5507	92	14	+	+	CCONJ
ejpam-5507	92	15	xβ1	xβ1	NOUN
ejpam-5507	92	16	1	1	NUM
ejpam-5507	92	17	+	+	NUM
ejpam-5507	92	18	xβ2	xβ2	NOUN
ejpam-5507	92	19	2	2	X
ejpam-5507	92	20	)	)	PUNCT
ejpam-5507	92	21	α+2	α+2	NUM
ejpam-5507	92	22	(	(	PUNCT
ejpam-5507	92	23	8)	8)	NUM
ejpam-5507	92	24	in	in	ADP
ejpam-5507	92	25	6	6	NUM
ejpam-5507	92	26	.	.	PUNCT
ejpam-5507	93	1	in	in	ADP
ejpam-5507	93	2	the	the	DET
ejpam-5507	93	3	next	next	ADJ
ejpam-5507	93	4	section	section	NOUN
ejpam-5507	93	5	,	,	PUNCT
ejpam-5507	93	6	we	we	PRON
ejpam-5507	93	7	will	will	AUX
ejpam-5507	93	8	propose	propose	VERB
ejpam-5507	93	9	the	the	DET
ejpam-5507	93	10	bivariate	bivariate	ADJ
ejpam-5507	93	11	truncated	truncated	ADJ
ejpam-5507	93	12	burr	burr	NOUN
ejpam-5507	93	13	family(btbf	family(btbf	PROPN
ejpam-5507	93	14	)	)	PUNCT
ejpam-5507	93	15	of	of	ADP
ejpam-5507	93	16	distributions	distribution	NOUN
ejpam-5507	93	17	by	by	ADP
ejpam-5507	93	18	using	use	VERB
ejpam-5507	93	19	the	the	DET
ejpam-5507	93	20	burr	burr	NOUN
ejpam-5507	93	21	distribution	distribution	NOUN
ejpam-5507	93	22	as	as	ADP
ejpam-5507	93	23	a	a	DET
ejpam-5507	93	24	generating	generate	VERB
ejpam-5507	93	25	distribution	distribution	NOUN
ejpam-5507	93	26	in	in	ADP
ejpam-5507	93	27	the	the	DET
ejpam-5507	93	28	bivariate	bivariate	ADJ
ejpam-5507	93	29	truncated	truncated	ADJ
ejpam-5507	93	30	family	family	NOUN
ejpam-5507	93	31	of	of	ADP
ejpam-5507	93	32	distributions	distribution	NOUN
ejpam-5507	93	33	.	.	PUNCT
ejpam-5507	94	1	various	various	ADJ
ejpam-5507	94	2	characteristics	characteristic	NOUN
ejpam-5507	94	3	of	of	ADP
ejpam-5507	94	4	the	the	DET
ejpam-5507	94	5	new	new	ADJ
ejpam-5507	94	6	family	family	NOUN
ejpam-5507	94	7	of	of	ADP
ejpam-5507	94	8	distributions	distribution	NOUN
ejpam-5507	94	9	will	will	AUX
ejpam-5507	94	10	be	be	AUX
ejpam-5507	94	11	studied	study	VERB
ejpam-5507	94	12	.	.	PUNCT
ejpam-5507	95	1	the	the	DET
ejpam-5507	95	2	maximum	maximum	ADJ
ejpam-5507	95	3	likelihood	likelihood	NOUN
ejpam-5507	95	4	estimation	estimation	NOUN
ejpam-5507	95	5	(	(	PUNCT
ejpam-5507	95	6	mle	mle	PROPN
ejpam-5507	95	7	)	)	PUNCT
ejpam-5507	95	8	of	of	ADP
ejpam-5507	95	9	the	the	DET
ejpam-5507	95	10	new	new	ADJ
ejpam-5507	95	11	family	family	NOUN
ejpam-5507	95	12	of	of	ADP
ejpam-5507	95	13	distributions	distribution	NOUN
ejpam-5507	95	14	will	will	AUX
ejpam-5507	95	15	also	also	ADV
ejpam-5507	95	16	be	be	AUX
ejpam-5507	95	17	discussed	discuss	VERB
ejpam-5507	95	18	.	.	PUNCT
ejpam-5507	96	1	e.	e.	PROPN
ejpam-5507	96	2	alsulami	alsulami	PROPN
ejpam-5507	96	3	,	,	PUNCT
ejpam-5507	96	4	l.	l.	PROPN
ejpam-5507	96	5	al	al	PROPN
ejpam-5507	96	6	-	-	PUNCT
ejpam-5507	96	7	turk	turk	PROPN
ejpam-5507	96	8	,	,	PUNCT
ejpam-5507	96	9	m.	m.	NOUN
ejpam-5507	96	10	q.	q.	PROPN
ejpam-5507	96	11	shahbaz	shahbaz	PROPN
ejpam-5507	96	12	/	/	SYM
ejpam-5507	96	13	eur	eur	PROPN
ejpam-5507	96	14	.	.	PUNCT
ejpam-5507	97	1	j.	j.	PROPN
ejpam-5507	97	2	pure	pure	PROPN
ejpam-5507	97	3	appl	appl	PROPN
ejpam-5507	97	4	.	.	PROPN
ejpam-5507	97	5	math	math	PROPN
ejpam-5507	97	6	,	,	PUNCT
ejpam-5507	97	7	17	17	NUM
ejpam-5507	97	8	(	(	PUNCT
ejpam-5507	97	9	4	4	NUM
ejpam-5507	97	10	)	)	PUNCT
ejpam-5507	97	11	(	(	PUNCT
ejpam-5507	97	12	2024	2024	NUM
ejpam-5507	97	13	)	)	PUNCT
ejpam-5507	97	14	,	,	PUNCT
ejpam-5507	97	15	3945	3945	NUM
ejpam-5507	97	16	-	-	SYM
ejpam-5507	97	17	3972	3972	NUM
ejpam-5507	97	18	3949	3949	NUM
ejpam-5507	97	19	3	3	NUM
ejpam-5507	97	20	.	.	PUNCT
ejpam-5507	97	21	bivariate	bivariate	ADJ
ejpam-5507	97	22	truncated	truncate	VERB
ejpam-5507	97	23	burr	burr	NOUN
ejpam-5507	97	24	family	family	NOUN
ejpam-5507	97	25	of	of	ADP
ejpam-5507	97	26	distribution	distribution	NOUN
ejpam-5507	97	27	in	in	ADP
ejpam-5507	97	28	this	this	DET
ejpam-5507	97	29	section	section	NOUN
ejpam-5507	97	30	,	,	PUNCT
ejpam-5507	97	31	we	we	PRON
ejpam-5507	97	32	have	have	AUX
ejpam-5507	97	33	proposed	propose	VERB
ejpam-5507	97	34	the	the	DET
ejpam-5507	97	35	btbf	btbf	NOUN
ejpam-5507	97	36	of	of	ADP
ejpam-5507	97	37	distributions	distribution	NOUN
ejpam-5507	97	38	by	by	ADP
ejpam-5507	97	39	using	use	VERB
ejpam-5507	97	40	the	the	DET
ejpam-5507	97	41	burr	burr	NOUN
ejpam-5507	97	42	distribution	distribution	NOUN
ejpam-5507	97	43	as	as	ADP
ejpam-5507	97	44	a	a	DET
ejpam-5507	97	45	generator	generator	NOUN
ejpam-5507	97	46	.	.	PUNCT
ejpam-5507	98	1	suppose	suppose	VERB
ejpam-5507	98	2	x1	x1	PROPN
ejpam-5507	98	3	and	and	CCONJ
ejpam-5507	98	4	x2	x2	PROPN
ejpam-5507	98	5	are	be	AUX
ejpam-5507	98	6	two	two	NUM
ejpam-5507	98	7	random	random	ADJ
ejpam-5507	98	8	variables	variable	NOUN
ejpam-5507	98	9	having	have	VERB
ejpam-5507	98	10	a	a	DET
ejpam-5507	98	11	bivariate	bivariate	ADJ
ejpam-5507	98	12	burr	burr	NOUN
ejpam-5507	98	13	distribution	distribution	NOUN
ejpam-5507	98	14	with	with	ADP
ejpam-5507	98	15	the	the	DET
ejpam-5507	98	16	joint	joint	ADJ
ejpam-5507	98	17	probability	probability	NOUN
ejpam-5507	98	18	density	density	NOUN
ejpam-5507	98	19	function	function	NOUN
ejpam-5507	98	20	(	(	PUNCT
ejpam-5507	98	21	pdfs	pdfs	PROPN
ejpam-5507	98	22	)	)	PUNCT
ejpam-5507	98	23	f(x1	f(x1	NOUN
ejpam-5507	98	24	,	,	PUNCT
ejpam-5507	98	25	x2	x2	PROPN
ejpam-5507	98	26	)	)	PUNCT
ejpam-5507	98	27	=	=	PUNCT
ejpam-5507	99	1	α(α+	α(α+	NUM
ejpam-5507	99	2	1)β1β2x	1)β1β2x	NUM
ejpam-5507	99	3	(	(	PUNCT
ejpam-5507	99	4	β1−1	β1−1	NOUN
ejpam-5507	99	5	)	)	PUNCT
ejpam-5507	99	6	1	1	NUM
ejpam-5507	99	7	x	x	SYM
ejpam-5507	99	8	(	(	PUNCT
ejpam-5507	99	9	β2−1	β2−1	NOUN
ejpam-5507	99	10	)	)	PUNCT
ejpam-5507	99	11	2	2	NUM
ejpam-5507	99	12	(	(	PUNCT
ejpam-5507	99	13	1	1	NUM
ejpam-5507	99	14	+	+	CCONJ
ejpam-5507	99	15	xβ1	xβ1	NOUN
ejpam-5507	99	16	1	1	NUM
ejpam-5507	99	17	+	+	NUM
ejpam-5507	99	18	xβ2	xβ2	NOUN
ejpam-5507	99	19	2	2	X
ejpam-5507	99	20	)	)	PUNCT
ejpam-5507	99	21	α+2	α+2	NUM
ejpam-5507	99	22	(	(	PUNCT
ejpam-5507	99	23	9	9	NUM
ejpam-5507	99	24	)	)	PUNCT
ejpam-5507	99	25	where	where	SCONJ
ejpam-5507	99	26	α	α	PRON
ejpam-5507	99	27	≥	≥	NOUN
ejpam-5507	99	28	0	0	NUM
ejpam-5507	99	29	is	be	AUX
ejpam-5507	99	30	the	the	DET
ejpam-5507	99	31	scale	scale	NOUN
ejpam-5507	99	32	parameter,(β1	parameter,(β1	SYM
ejpam-5507	99	33	,	,	PUNCT
ejpam-5507	99	34	β2	β2	PROPN
ejpam-5507	99	35	)	)	PUNCT
ejpam-5507	99	36	≥	≥	X
ejpam-5507	99	37	0	0	NUM
ejpam-5507	99	38	are	be	AUX
ejpam-5507	99	39	the	the	DET
ejpam-5507	99	40	shape	shape	NOUN
ejpam-5507	99	41	parameters	parameter	NOUN
ejpam-5507	99	42	.	.	PUNCT
ejpam-5507	100	1	the	the	DET
ejpam-5507	100	2	distribution	distribution	NOUN
ejpam-5507	100	3	function	function	NOUN
ejpam-5507	100	4	corresponding	correspond	VERB
ejpam-5507	100	5	to	to	ADP
ejpam-5507	100	6	9	9	NUM
ejpam-5507	100	7	is	be	AUX
ejpam-5507	100	8	f	f	PROPN
ejpam-5507	100	9	(	(	PUNCT
ejpam-5507	100	10	x1	x1	PROPN
ejpam-5507	100	11	,	,	PUNCT
ejpam-5507	100	12	x2	x2	PROPN
ejpam-5507	100	13	)	)	PUNCT
ejpam-5507	100	14	=	=	SYM
ejpam-5507	100	15	1−	1−	NUM
ejpam-5507	100	16	(	(	PUNCT
ejpam-5507	100	17	1	1	NUM
ejpam-5507	101	1	+	+	CCONJ
ejpam-5507	101	2	xβ1	xβ1	NOUN
ejpam-5507	101	3	1	1	X
ejpam-5507	101	4	)	)	PUNCT
ejpam-5507	101	5	−α	−α	NOUN
ejpam-5507	101	6	−	−	PROPN
ejpam-5507	101	7	(	(	PUNCT
ejpam-5507	101	8	1	1	NUM
ejpam-5507	101	9	+	+	NUM
ejpam-5507	101	10	xβ2	xβ2	NOUN
ejpam-5507	101	11	2	2	X
ejpam-5507	101	12	)	)	PUNCT
ejpam-5507	101	13	−α	−α	NOUN
ejpam-5507	101	14	+	+	CCONJ
ejpam-5507	101	15	(	(	PUNCT
ejpam-5507	101	16	1	1	NUM
ejpam-5507	101	17	+	+	CCONJ
ejpam-5507	101	18	xβ1	xβ1	NOUN
ejpam-5507	101	19	1	1	NUM
ejpam-5507	101	20	+	+	NUM
ejpam-5507	101	21	xβ2	xβ2	NOUN
ejpam-5507	101	22	2	2	X
ejpam-5507	101	23	)	)	PUNCT
ejpam-5507	101	24	−α	−α	NOUN
ejpam-5507	101	25	(	(	PUNCT
ejpam-5507	101	26	10	10	NUM
ejpam-5507	101	27	)	)	PUNCT
ejpam-5507	101	28	the	the	DET
ejpam-5507	101	29	joint	joint	ADJ
ejpam-5507	101	30	cumulative	cumulative	ADJ
ejpam-5507	101	31	distribution	distribution	NOUN
ejpam-5507	101	32	function	function	NOUN
ejpam-5507	101	33	(	(	PUNCT
ejpam-5507	101	34	cdf	cdf	PROPN
ejpam-5507	101	35	)	)	PUNCT
ejpam-5507	101	36	of	of	ADP
ejpam-5507	101	37	the	the	DET
ejpam-5507	101	38	proposed	propose	VERB
ejpam-5507	101	39	right	right	ADJ
ejpam-5507	101	40	btbf	btbf	NOUN
ejpam-5507	101	41	of	of	ADP
ejpam-5507	101	42	distribution	distribution	NOUN
ejpam-5507	101	43	is	be	AUX
ejpam-5507	101	44	obtained	obtain	VERB
ejpam-5507	101	45	by	by	ADP
ejpam-5507	101	46	using	use	VERB
ejpam-5507	101	47	9	9	NUM
ejpam-5507	101	48	in	in	ADP
ejpam-5507	101	49	6	6	NUM
ejpam-5507	101	50	which	which	PRON
ejpam-5507	101	51	on	on	ADP
ejpam-5507	101	52	simplifying	simplifying	NOUN
ejpam-5507	101	53	becomes	become	VERB
ejpam-5507	101	54	fr(x1	fr(x1	ADJ
ejpam-5507	101	55	,	,	PUNCT
ejpam-5507	101	56	x2	x2	PROPN
ejpam-5507	101	57	)	)	PUNCT
ejpam-5507	101	58	=	=	SYM
ejpam-5507	101	59	1−	1−	NUM
ejpam-5507	101	60	(	(	PUNCT
ejpam-5507	101	61	1	1	NUM
ejpam-5507	101	62	+	+	CCONJ
ejpam-5507	101	63	(	(	PUNCT
ejpam-5507	101	64	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	101	65	)	)	PUNCT
ejpam-5507	101	66	)	)	PUNCT
ejpam-5507	102	1	β1)−α	β1)−α	PROPN
ejpam-5507	102	2	−	−	PROPN
ejpam-5507	103	1	(	(	PUNCT
ejpam-5507	103	2	1	1	NUM
ejpam-5507	103	3	+	+	CCONJ
ejpam-5507	103	4	(	(	PUNCT
ejpam-5507	103	5	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	103	6	)	)	PUNCT
ejpam-5507	103	7	)	)	PUNCT
ejpam-5507	104	1	β2)−α	β2)−α	PUNCT
ejpam-5507	104	2	+	+	CCONJ
ejpam-5507	104	3	(	(	PUNCT
ejpam-5507	104	4	∆1(x1	∆1(x1	PROPN
ejpam-5507	104	5	,	,	PUNCT
ejpam-5507	104	6	x2	x2	PROPN
ejpam-5507	104	7	)	)	PUNCT
ejpam-5507	104	8	)	)	PUNCT
ejpam-5507	104	9	−α	−α	PROPN
ejpam-5507	104	10	γ	γ	X
ejpam-5507	104	11	,	,	PUNCT
ejpam-5507	104	12	(	(	PUNCT
ejpam-5507	104	13	11	11	NUM
ejpam-5507	104	14	)	)	PUNCT
ejpam-5507	104	15	where	where	SCONJ
ejpam-5507	104	16	γ	γ	X
ejpam-5507	104	17	=	=	SYM
ejpam-5507	104	18	1−	1−	NUM
ejpam-5507	104	19	(	(	PUNCT
ejpam-5507	104	20	1	1	NUM
ejpam-5507	104	21	+	+	CCONJ
ejpam-5507	104	22	aβ1	aβ1	NOUN
ejpam-5507	104	23	1	1	NUM
ejpam-5507	104	24	)	)	PUNCT
ejpam-5507	104	25	−α	−α	NOUN
ejpam-5507	104	26	−	−	PROPN
ejpam-5507	104	27	(	(	PUNCT
ejpam-5507	104	28	1	1	NUM
ejpam-5507	104	29	+	+	CCONJ
ejpam-5507	104	30	aβ2	aβ2	NOUN
ejpam-5507	104	31	2	2	X
ejpam-5507	104	32	)	)	PUNCT
ejpam-5507	104	33	−α	−α	NOUN
ejpam-5507	104	34	+	+	CCONJ
ejpam-5507	104	35	(	(	PUNCT
ejpam-5507	104	36	1	1	NUM
ejpam-5507	104	37	+	+	CCONJ
ejpam-5507	104	38	aβ1	aβ1	NOUN
ejpam-5507	104	39	1	1	NUM
ejpam-5507	104	40	+	+	CCONJ
ejpam-5507	104	41	aβ2	aβ2	NOUN
ejpam-5507	104	42	2	2	NUM
ejpam-5507	104	43	)	)	PUNCT
ejpam-5507	104	44	−α	−α	NOUN
ejpam-5507	104	45	and	and	CCONJ
ejpam-5507	104	46	∆1(x1	∆1(x1	PROPN
ejpam-5507	104	47	,	,	PUNCT
ejpam-5507	104	48	x2	x2	PROPN
ejpam-5507	104	49	)	)	PUNCT
ejpam-5507	104	50	=	=	SYM
ejpam-5507	104	51	1	1	NUM
ejpam-5507	104	52	+	+	CCONJ
ejpam-5507	104	53	[	[	X
ejpam-5507	104	54	a1g1(x1i	a1g1(x1i	NOUN
ejpam-5507	104	55	)	)	PUNCT
ejpam-5507	104	56	]	]	PUNCT
ejpam-5507	105	1	β1	β1	PROPN
ejpam-5507	105	2	+	+	CCONJ
ejpam-5507	105	3	[	[	X
ejpam-5507	105	4	a2g2(x2i	a2g2(x2i	NOUN
ejpam-5507	105	5	)	)	PUNCT
ejpam-5507	105	6	]	]	PUNCT
ejpam-5507	106	1	β2	β2	NOUN
ejpam-5507	106	2	.	.	PUNCT
ejpam-5507	107	1	the	the	DET
ejpam-5507	107	2	pdf	pdf	NOUN
ejpam-5507	107	3	of	of	ADP
ejpam-5507	107	4	the	the	DET
ejpam-5507	107	5	right	right	ADJ
ejpam-5507	107	6	btbf	btbf	NOUN
ejpam-5507	107	7	of	of	ADP
ejpam-5507	107	8	distribution	distribution	NOUN
ejpam-5507	107	9	corresponding	correspond	VERB
ejpam-5507	107	10	to	to	ADP
ejpam-5507	107	11	11	11	NUM
ejpam-5507	107	12	is	be	AUX
ejpam-5507	107	13	fr(x1	fr(x1	ADJ
ejpam-5507	107	14	,	,	PUNCT
ejpam-5507	107	15	x2	x2	PROPN
ejpam-5507	107	16	)	)	PUNCT
ejpam-5507	107	17	=	=	SYM
ejpam-5507	107	18	1	1	NUM
ejpam-5507	107	19	γ	γ	X
ejpam-5507	107	20	α(α+	α(α+	NUM
ejpam-5507	107	21	1)β1β2a	1)β1β2a	NUM
ejpam-5507	107	22	β1	β1	PROPN
ejpam-5507	107	23	1	1	NUM
ejpam-5507	107	24	aβ2	aβ2	NOUN
ejpam-5507	107	25	2	2	NUM
ejpam-5507	107	26	g1	g1	NOUN
ejpam-5507	107	27	(	(	PUNCT
ejpam-5507	107	28	x1	x1	PROPN
ejpam-5507	107	29	)	)	PUNCT
ejpam-5507	107	30	g2	g2	PROPN
ejpam-5507	107	31	(	(	PUNCT
ejpam-5507	107	32	x2)g1	x2)g1	X
ejpam-5507	107	33	(	(	PUNCT
ejpam-5507	107	34	x1	x1	PROPN
ejpam-5507	107	35	)	)	PUNCT
ejpam-5507	107	36	β1−1g2	β1−1g2	NOUN
ejpam-5507	107	37	(	(	PUNCT
ejpam-5507	107	38	x2	x2	PROPN
ejpam-5507	107	39	)	)	PUNCT
ejpam-5507	107	40	β2−1	β2−1	X
ejpam-5507	107	41	(	(	PUNCT
ejpam-5507	107	42	∆1(x1	∆1(x1	PROPN
ejpam-5507	107	43	,	,	PUNCT
ejpam-5507	107	44	x2	x2	PROPN
ejpam-5507	107	45	)	)	PUNCT
ejpam-5507	107	46	)	)	PUNCT
ejpam-5507	108	1	−(α+2	−(α+2	VERB
ejpam-5507	108	2	)	)	PUNCT
ejpam-5507	108	3	(	(	PUNCT
ejpam-5507	108	4	12	12	NUM
ejpam-5507	108	5	)	)	PUNCT
ejpam-5507	108	6	in	in	ADP
ejpam-5507	108	7	the	the	DET
ejpam-5507	108	8	following	following	ADJ
ejpam-5507	108	9	section	section	NOUN
ejpam-5507	108	10	,	,	PUNCT
ejpam-5507	108	11	some	some	DET
ejpam-5507	108	12	characteristics	characteristic	NOUN
ejpam-5507	108	13	of	of	ADP
ejpam-5507	108	14	the	the	DET
ejpam-5507	108	15	btbf	btbf	NOUN
ejpam-5507	108	16	distribution	distribution	NOUN
ejpam-5507	108	17	will	will	AUX
ejpam-5507	108	18	be	be	AUX
ejpam-5507	108	19	presented	present	VERB
ejpam-5507	108	20	.	.	PUNCT
ejpam-5507	109	1	4	4	X
ejpam-5507	109	2	.	.	X
ejpam-5507	109	3	statistical	statistical	ADJ
ejpam-5507	109	4	properties	property	NOUN
ejpam-5507	109	5	of	of	ADP
ejpam-5507	109	6	bivariate	bivariate	ADJ
ejpam-5507	109	7	truncated	truncate	VERB
ejpam-5507	109	8	burr	burr	NOUN
ejpam-5507	109	9	family	family	NOUN
ejpam-5507	109	10	of	of	ADP
ejpam-5507	109	11	distributions	distribution	NOUN
ejpam-5507	109	12	this	this	DET
ejpam-5507	109	13	section	section	NOUN
ejpam-5507	109	14	discusses	discuss	VERB
ejpam-5507	109	15	several	several	ADJ
ejpam-5507	109	16	statistical	statistical	ADJ
ejpam-5507	109	17	properties	property	NOUN
ejpam-5507	109	18	of	of	ADP
ejpam-5507	109	19	the	the	DET
ejpam-5507	109	20	btbf	btbf	NOUN
ejpam-5507	109	21	.	.	PUNCT
ejpam-5507	110	1	these	these	PRON
ejpam-5507	110	2	include	include	VERB
ejpam-5507	110	3	,	,	PUNCT
ejpam-5507	110	4	the	the	DET
ejpam-5507	110	5	marginal	marginal	ADJ
ejpam-5507	110	6	distributions	distribution	NOUN
ejpam-5507	110	7	,	,	PUNCT
ejpam-5507	110	8	the	the	DET
ejpam-5507	110	9	conditional	conditional	ADJ
ejpam-5507	110	10	distributions	distribution	NOUN
ejpam-5507	110	11	,	,	PUNCT
ejpam-5507	110	12	the	the	DET
ejpam-5507	110	13	bivariate	bivariate	ADJ
ejpam-5507	110	14	reliability	reliability	NOUN
ejpam-5507	110	15	ad	ad	NOUN
ejpam-5507	110	16	hazard	hazard	NOUN
ejpam-5507	110	17	rate	rate	NOUN
ejpam-5507	110	18	functions	function	NOUN
ejpam-5507	110	19	,	,	PUNCT
ejpam-5507	110	20	etc	etc	X
ejpam-5507	110	21	..	..	X
ejpam-5507	110	22	4.1	4.1	NUM
ejpam-5507	110	23	.	.	PUNCT
ejpam-5507	111	1	the	the	DET
ejpam-5507	111	2	marginal	marginal	ADJ
ejpam-5507	111	3	distributions	distribution	NOUN
ejpam-5507	111	4	the	the	DET
ejpam-5507	111	5	marginal	marginal	ADJ
ejpam-5507	111	6	pdf	pdf	NOUN
ejpam-5507	111	7	of	of	ADP
ejpam-5507	111	8	x1	x1	PROPN
ejpam-5507	111	9	can	can	AUX
ejpam-5507	111	10	be	be	AUX
ejpam-5507	111	11	readily	readily	ADV
ejpam-5507	111	12	obtain	obtain	VERB
ejpam-5507	111	13	from	from	ADP
ejpam-5507	111	14	12	12	NUM
ejpam-5507	111	15	as	as	ADP
ejpam-5507	111	16	ftb(x1	ftb(x1	ADJ
ejpam-5507	111	17	)	)	PUNCT
ejpam-5507	111	18	=	=	SYM
ejpam-5507	112	1	∫	∫	PROPN
ejpam-5507	113	1	∞	∞	NOUN
ejpam-5507	113	2	0	0	NUM
ejpam-5507	113	3	fr(t1t2−x1x2)(x1	fr(t1t2−x1x2)(x1	PROPN
ejpam-5507	113	4	,	,	PUNCT
ejpam-5507	113	5	x2)dx2	x2)dx2	PROPN
ejpam-5507	113	6	e.	e.	PROPN
ejpam-5507	113	7	alsulami	alsulami	PROPN
ejpam-5507	113	8	,	,	PUNCT
ejpam-5507	113	9	l.	l.	PROPN
ejpam-5507	113	10	al	al	PROPN
ejpam-5507	113	11	-	-	PUNCT
ejpam-5507	113	12	turk	turk	PROPN
ejpam-5507	113	13	,	,	PUNCT
ejpam-5507	113	14	m.	m.	NOUN
ejpam-5507	113	15	q.	q.	PROPN
ejpam-5507	113	16	shahbaz	shahbaz	PROPN
ejpam-5507	113	17	/	/	SYM
ejpam-5507	113	18	eur	eur	PROPN
ejpam-5507	113	19	.	.	PUNCT
ejpam-5507	114	1	j.	j.	PROPN
ejpam-5507	114	2	pure	pure	PROPN
ejpam-5507	114	3	appl	appl	PROPN
ejpam-5507	114	4	.	.	PROPN
ejpam-5507	114	5	math	math	PROPN
ejpam-5507	114	6	,	,	PUNCT
ejpam-5507	114	7	17	17	NUM
ejpam-5507	114	8	(	(	PUNCT
ejpam-5507	114	9	4	4	NUM
ejpam-5507	114	10	)	)	PUNCT
ejpam-5507	114	11	(	(	PUNCT
ejpam-5507	114	12	2024	2024	NUM
ejpam-5507	114	13	)	)	PUNCT
ejpam-5507	114	14	,	,	PUNCT
ejpam-5507	114	15	3945	3945	NUM
ejpam-5507	114	16	-	-	SYM
ejpam-5507	114	17	3972	3972	NUM
ejpam-5507	114	18	3950	3950	NUM
ejpam-5507	114	19	ftb(x1	ftb(x1	NOUN
ejpam-5507	114	20	)	)	PUNCT
ejpam-5507	114	21	=	=	SYM
ejpam-5507	114	22	αβ1a	αβ1a	NUM
ejpam-5507	114	23	β1	β1	NOUN
ejpam-5507	114	24	1	1	NUM
ejpam-5507	114	25	g1	g1	NOUN
ejpam-5507	114	26	(	(	PUNCT
ejpam-5507	114	27	x1)g1	x1)g1	PROPN
ejpam-5507	114	28	(	(	PUNCT
ejpam-5507	114	29	x1	x1	PROPN
ejpam-5507	114	30	)	)	PUNCT
ejpam-5507	114	31	β1−1	β1−1	X
ejpam-5507	115	1	γ	γ	X
ejpam-5507	115	2	[	[	PUNCT
ejpam-5507	115	3	[	[	X
ejpam-5507	115	4	1	1	NUM
ejpam-5507	115	5	+	+	NUM
ejpam-5507	115	6	(	(	PUNCT
ejpam-5507	115	7	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	115	8	)	)	PUNCT
ejpam-5507	115	9	)	)	PUNCT
ejpam-5507	116	1	β1	β1	PROPN
ejpam-5507	116	2	]	]	PUNCT
ejpam-5507	116	3	−(α+1	−(α+1	NOUN
ejpam-5507	116	4	)	)	PUNCT
ejpam-5507	116	5	−	−	PROPN
ejpam-5507	117	1	[	[	X
ejpam-5507	117	2	1	1	NUM
ejpam-5507	117	3	+	+	NUM
ejpam-5507	117	4	(	(	PUNCT
ejpam-5507	117	5	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	117	6	)	)	PUNCT
ejpam-5507	117	7	)	)	PUNCT
ejpam-5507	118	1	β1	β1	NOUN
ejpam-5507	118	2	+	+	CCONJ
ejpam-5507	118	3	aβ2	aβ2	NOUN
ejpam-5507	118	4	2	2	NUM
ejpam-5507	118	5	]	]	PUNCT
ejpam-5507	118	6	−(α+1	−(α+1	NOUN
ejpam-5507	118	7	)	)	PUNCT
ejpam-5507	118	8	]	]	PUNCT
ejpam-5507	118	9	.	.	PUNCT
ejpam-5507	119	1	(	(	PUNCT
ejpam-5507	119	2	13	13	NUM
ejpam-5507	119	3	)	)	PUNCT
ejpam-5507	119	4	similarly	similarly	ADV
ejpam-5507	119	5	,	,	PUNCT
ejpam-5507	119	6	the	the	DET
ejpam-5507	119	7	marginal	marginal	ADJ
ejpam-5507	119	8	pdf	pdf	NOUN
ejpam-5507	119	9	of	of	ADP
ejpam-5507	119	10	the	the	DET
ejpam-5507	119	11	random	random	ADJ
ejpam-5507	119	12	variable	variable	NOUN
ejpam-5507	119	13	x2	x2	PROPN
ejpam-5507	119	14	is	be	AUX
ejpam-5507	119	15	ftb(x2	ftb(x2	NOUN
ejpam-5507	119	16	)	)	PUNCT
ejpam-5507	120	1	=	=	SYM
ejpam-5507	120	2	αβ2a	αβ2a	PROPN
ejpam-5507	120	3	β2	β2	NOUN
ejpam-5507	120	4	2	2	NUM
ejpam-5507	120	5	g2	g2	PROPN
ejpam-5507	120	6	(	(	PUNCT
ejpam-5507	120	7	x2)g2	x2)g2	PROPN
ejpam-5507	120	8	(	(	PUNCT
ejpam-5507	120	9	x2	x2	PROPN
ejpam-5507	120	10	)	)	PUNCT
ejpam-5507	120	11	β2−1	β2−1	X
ejpam-5507	120	12	γ	γ	X
ejpam-5507	120	13	[	[	PUNCT
ejpam-5507	120	14	[	[	X
ejpam-5507	120	15	1	1	NUM
ejpam-5507	120	16	+	+	CCONJ
ejpam-5507	120	17	(	(	PUNCT
ejpam-5507	120	18	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	120	19	)	)	PUNCT
ejpam-5507	120	20	)	)	PUNCT
ejpam-5507	121	1	β2	β2	NOUN
ejpam-5507	121	2	]	]	PUNCT
ejpam-5507	121	3	−(α+1	−(α+1	NOUN
ejpam-5507	121	4	)	)	PUNCT
ejpam-5507	121	5	−	−	PROPN
ejpam-5507	122	1	[	[	X
ejpam-5507	122	2	1	1	NUM
ejpam-5507	122	3	+	+	CCONJ
ejpam-5507	122	4	(	(	PUNCT
ejpam-5507	122	5	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	122	6	)	)	PUNCT
ejpam-5507	122	7	)	)	PUNCT
ejpam-5507	122	8	β2	β2	NOUN
ejpam-5507	122	9	+	+	CCONJ
ejpam-5507	122	10	aβ1	aβ1	NOUN
ejpam-5507	122	11	1	1	NUM
ejpam-5507	122	12	]	]	PUNCT
ejpam-5507	122	13	−(α+1	−(α+1	NOUN
ejpam-5507	122	14	)	)	PUNCT
ejpam-5507	122	15	]	]	PUNCT
ejpam-5507	122	16	,	,	PUNCT
ejpam-5507	122	17	(	(	PUNCT
ejpam-5507	122	18	14	14	NUM
ejpam-5507	122	19	)	)	PUNCT
ejpam-5507	122	20	where	where	SCONJ
ejpam-5507	122	21	g1(x1	g1(x1	NOUN
ejpam-5507	122	22	)	)	PUNCT
ejpam-5507	122	23	and	and	CCONJ
ejpam-5507	122	24	g2(x2	g2(x2	NOUN
ejpam-5507	122	25	)	)	PUNCT
ejpam-5507	122	26	are	be	AUX
ejpam-5507	122	27	the	the	DET
ejpam-5507	122	28	density	density	NOUN
ejpam-5507	122	29	function	function	NOUN
ejpam-5507	122	30	of	of	ADP
ejpam-5507	122	31	any	any	DET
ejpam-5507	122	32	baseline	baseline	ADJ
ejpam-5507	122	33	distribution	distribution	NOUN
ejpam-5507	122	34	corresponding	correspond	VERB
ejpam-5507	122	35	to	to	ADP
ejpam-5507	122	36	g1(x1	g1(x1	NOUN
ejpam-5507	122	37	)	)	PUNCT
ejpam-5507	122	38	and	and	CCONJ
ejpam-5507	122	39	g2(x2	g2(x2	NOUN
ejpam-5507	122	40	)	)	PUNCT
ejpam-5507	122	41	.	.	PUNCT
ejpam-5507	123	1	the	the	DET
ejpam-5507	123	2	marginal	marginal	ADJ
ejpam-5507	123	3	cdf	cdf	PROPN
ejpam-5507	123	4	of	of	ADP
ejpam-5507	123	5	x1	x1	PROPN
ejpam-5507	123	6	of	of	ADP
ejpam-5507	123	7	the	the	DET
ejpam-5507	123	8	btbf	btbf	NOUN
ejpam-5507	123	9	of	of	ADP
ejpam-5507	123	10	distributions	distribution	NOUN
ejpam-5507	123	11	is	be	AUX
ejpam-5507	123	12	ftb(x1	ftb(x1	ADJ
ejpam-5507	123	13	)	)	PUNCT
ejpam-5507	123	14	=	=	SYM
ejpam-5507	124	1	1−	1−	NUM
ejpam-5507	124	2	[	[	PUNCT
ejpam-5507	124	3	1	1	NUM
ejpam-5507	124	4	+	+	CCONJ
ejpam-5507	124	5	(	(	PUNCT
ejpam-5507	124	6	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	124	7	)	)	PUNCT
ejpam-5507	124	8	)	)	PUNCT
ejpam-5507	125	1	β1	β1	NOUN
ejpam-5507	125	2	]	]	PUNCT
ejpam-5507	125	3	−α	−α	NOUN
ejpam-5507	125	4	−	−	PROPN
ejpam-5507	126	1	[	[	PUNCT
ejpam-5507	126	2	1	1	NUM
ejpam-5507	126	3	+	+	CCONJ
ejpam-5507	126	4	aβ2	aβ2	NOUN
ejpam-5507	126	5	2	2	NUM
ejpam-5507	126	6	]	]	PUNCT
ejpam-5507	126	7	−α	−α	NOUN
ejpam-5507	126	8	+	+	CCONJ
ejpam-5507	126	9	[	[	PUNCT
ejpam-5507	126	10	1	1	NUM
ejpam-5507	126	11	+	+	CCONJ
ejpam-5507	126	12	(	(	PUNCT
ejpam-5507	126	13	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	126	14	)	)	PUNCT
ejpam-5507	126	15	)	)	PUNCT
ejpam-5507	127	1	β1	β1	NOUN
ejpam-5507	127	2	+	+	CCONJ
ejpam-5507	127	3	aβ2	aβ2	NOUN
ejpam-5507	127	4	2	2	NUM
ejpam-5507	127	5	]	]	PUNCT
ejpam-5507	127	6	−α	−α	NOUN
ejpam-5507	127	7	γ	γ	X
ejpam-5507	127	8	.	.	PUNCT
ejpam-5507	128	1	(	(	PUNCT
ejpam-5507	128	2	15	15	NUM
ejpam-5507	128	3	)	)	PUNCT
ejpam-5507	128	4	similarly	similarly	ADV
ejpam-5507	128	5	,	,	PUNCT
ejpam-5507	128	6	the	the	DET
ejpam-5507	128	7	marginal	marginal	ADJ
ejpam-5507	128	8	cdf	cdf	NOUN
ejpam-5507	128	9	of	of	ADP
ejpam-5507	128	10	the	the	DET
ejpam-5507	128	11	second	second	ADJ
ejpam-5507	128	12	random	random	ADJ
ejpam-5507	128	13	variable	variable	NOUN
ejpam-5507	128	14	x2	x2	PROPN
ejpam-5507	128	15	is	be	AUX
ejpam-5507	128	16	ftb(x2	ftb(x2	NOUN
ejpam-5507	128	17	)	)	PUNCT
ejpam-5507	128	18	=	=	SYM
ejpam-5507	129	1	1−	1−	NUM
ejpam-5507	129	2	[	[	PUNCT
ejpam-5507	129	3	1	1	NUM
ejpam-5507	129	4	+	+	CCONJ
ejpam-5507	129	5	(	(	PUNCT
ejpam-5507	129	6	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	129	7	)	)	PUNCT
ejpam-5507	129	8	)	)	PUNCT
ejpam-5507	130	1	β2	β2	VERB
ejpam-5507	130	2	]	]	PUNCT
ejpam-5507	130	3	−α	−α	NOUN
ejpam-5507	130	4	−	−	PROPN
ejpam-5507	131	1	[	[	PUNCT
ejpam-5507	131	2	1	1	NUM
ejpam-5507	131	3	+	+	CCONJ
ejpam-5507	131	4	aβ1	aβ1	NOUN
ejpam-5507	131	5	1	1	NUM
ejpam-5507	131	6	]	]	PUNCT
ejpam-5507	131	7	−α	−α	NOUN
ejpam-5507	131	8	+	+	CCONJ
ejpam-5507	131	9	[	[	PUNCT
ejpam-5507	131	10	1	1	NUM
ejpam-5507	131	11	+	+	CCONJ
ejpam-5507	131	12	(	(	PUNCT
ejpam-5507	131	13	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	131	14	)	)	PUNCT
ejpam-5507	131	15	)	)	PUNCT
ejpam-5507	131	16	β2	β2	NOUN
ejpam-5507	131	17	+	+	CCONJ
ejpam-5507	131	18	aβ1	aβ1	NOUN
ejpam-5507	131	19	1	1	NUM
ejpam-5507	131	20	]	]	PUNCT
ejpam-5507	131	21	−α	−α	NOUN
ejpam-5507	131	22	γ	γ	X
ejpam-5507	131	23	,	,	PUNCT
ejpam-5507	131	24	(	(	PUNCT
ejpam-5507	131	25	16	16	NUM
ejpam-5507	131	26	)	)	PUNCT
ejpam-5507	131	27	where	where	SCONJ
ejpam-5507	131	28	g1(x1	g1(x1	NOUN
ejpam-5507	131	29	)	)	PUNCT
ejpam-5507	131	30	and	and	CCONJ
ejpam-5507	131	31	g2(x2	g2(x2	NOUN
ejpam-5507	131	32	)	)	PUNCT
ejpam-5507	131	33	are	be	AUX
ejpam-5507	131	34	the	the	DET
ejpam-5507	131	35	cdf	cdf	PROPN
ejpam-5507	131	36	′s	′s	PROPN
ejpam-5507	131	37	of	of	ADP
ejpam-5507	131	38	any	any	DET
ejpam-5507	131	39	baseline	baseline	NOUN
ejpam-5507	131	40	distributions	distribution	NOUN
ejpam-5507	131	41	.	.	PUNCT
ejpam-5507	132	1	4.2	4.2	NUM
ejpam-5507	132	2	.	.	PUNCT
ejpam-5507	133	1	the	the	DET
ejpam-5507	133	2	conditional	conditional	ADJ
ejpam-5507	133	3	distributions	distribution	NOUN
ejpam-5507	133	4	the	the	DET
ejpam-5507	133	5	conditional	conditional	ADJ
ejpam-5507	133	6	distribution	distribution	NOUN
ejpam-5507	133	7	of	of	ADP
ejpam-5507	133	8	x1	x1	PROPN
ejpam-5507	133	9	given	give	VERB
ejpam-5507	133	10	x2	x2	PROPN
ejpam-5507	133	11	=	=	PUNCT
ejpam-5507	133	12	x2	x2	PROPN
ejpam-5507	133	13	is	be	AUX
ejpam-5507	133	14	f(x1|x2	f(x1|x2	PROPN
ejpam-5507	133	15	)	)	PUNCT
ejpam-5507	134	1	=	=	SYM
ejpam-5507	134	2	(	(	PUNCT
ejpam-5507	134	3	α+	α+	PROPN
ejpam-5507	134	4	1)β1a	1)β1a	NUM
ejpam-5507	134	5	β1	β1	PROPN
ejpam-5507	134	6	1	1	NUM
ejpam-5507	134	7	g1(x1)g1(x1	g1(x1)g1(x1	PROPN
ejpam-5507	134	8	)	)	PUNCT
ejpam-5507	134	9	β1−1[∆1(x1	β1−1[∆1(x1	PROPN
ejpam-5507	134	10	,	,	PUNCT
ejpam-5507	134	11	x2	x2	PROPN
ejpam-5507	134	12	)	)	PUNCT
ejpam-5507	134	13	]	]	PUNCT
ejpam-5507	135	1	−(α+2	−(α+2	X
ejpam-5507	135	2	)	)	PUNCT
ejpam-5507	136	1	[	[	X
ejpam-5507	136	2	1	1	NUM
ejpam-5507	136	3	+	+	NUM
ejpam-5507	136	4	(	(	PUNCT
ejpam-5507	136	5	a2g2(x2))β2	a2g2(x2))β2	NOUN
ejpam-5507	136	6	]	]	PUNCT
ejpam-5507	136	7	−(α+1	−(α+1	NOUN
ejpam-5507	136	8	)	)	PUNCT
ejpam-5507	136	9	−	−	PROPN
ejpam-5507	137	1	[	[	X
ejpam-5507	137	2	1	1	NUM
ejpam-5507	137	3	+	+	NUM
ejpam-5507	137	4	(	(	PUNCT
ejpam-5507	137	5	a2g2(x2))β2	a2g2(x2))β2	NOUN
ejpam-5507	137	6	+	+	SYM
ejpam-5507	137	7	aβ1	aβ1	NOUN
ejpam-5507	137	8	1	1	NUM
ejpam-5507	137	9	]	]	PUNCT
ejpam-5507	137	10	−(α+1	−(α+1	NOUN
ejpam-5507	137	11	)	)	PUNCT
ejpam-5507	137	12	.	.	PUNCT
ejpam-5507	138	1	(	(	PUNCT
ejpam-5507	138	2	17	17	NUM
ejpam-5507	138	3	)	)	PUNCT
ejpam-5507	138	4	similarly	similarly	ADV
ejpam-5507	138	5	,	,	PUNCT
ejpam-5507	138	6	the	the	DET
ejpam-5507	138	7	conditional	conditional	ADJ
ejpam-5507	138	8	distribution	distribution	NOUN
ejpam-5507	138	9	of	of	ADP
ejpam-5507	138	10	x2	x2	PROPN
ejpam-5507	138	11	given	give	VERB
ejpam-5507	138	12	x1	x1	PROPN
ejpam-5507	138	13	=	=	PUNCT
ejpam-5507	138	14	x1	x1	PROPN
ejpam-5507	138	15	is	be	AUX
ejpam-5507	138	16	obtained	obtain	VERB
ejpam-5507	138	17	as	as	ADP
ejpam-5507	138	18	f(x2|x1	f(x2|x1	PROPN
ejpam-5507	138	19	)	)	PUNCT
ejpam-5507	139	1	=	=	SYM
ejpam-5507	139	2	(	(	PUNCT
ejpam-5507	139	3	α+	α+	X
ejpam-5507	139	4	1)β2a	1)β2a	NUM
ejpam-5507	139	5	β2	β2	NOUN
ejpam-5507	139	6	2	2	NUM
ejpam-5507	139	7	g2(x2)g2(x2	g2(x2)g2(x2	PROPN
ejpam-5507	139	8	)	)	PUNCT
ejpam-5507	139	9	β2−1[∆1(x1	β2−1[∆1(x1	PROPN
ejpam-5507	139	10	,	,	PUNCT
ejpam-5507	139	11	x2	x2	PROPN
ejpam-5507	139	12	)	)	PUNCT
ejpam-5507	139	13	]	]	PUNCT
ejpam-5507	140	1	−(α+2	−(α+2	X
ejpam-5507	140	2	)	)	PUNCT
ejpam-5507	141	1	[	[	X
ejpam-5507	141	2	1	1	NUM
ejpam-5507	141	3	+	+	NUM
ejpam-5507	141	4	(	(	PUNCT
ejpam-5507	141	5	a1g1(x1))β1	a1g1(x1))β1	NOUN
ejpam-5507	141	6	]	]	PUNCT
ejpam-5507	141	7	−(α+1	−(α+1	NOUN
ejpam-5507	141	8	)	)	PUNCT
ejpam-5507	141	9	−	−	PROPN
ejpam-5507	142	1	[	[	X
ejpam-5507	142	2	1	1	NUM
ejpam-5507	142	3	+	+	CCONJ
ejpam-5507	142	4	(	(	PUNCT
ejpam-5507	142	5	a1g1(x1))β1	a1g1(x1))β1	NOUN
ejpam-5507	142	6	+	+	CCONJ
ejpam-5507	142	7	aβ2	aβ2	NOUN
ejpam-5507	142	8	2	2	NUM
ejpam-5507	142	9	]	]	PUNCT
ejpam-5507	142	10	−(α+1	−(α+1	NOUN
ejpam-5507	142	11	)	)	PUNCT
ejpam-5507	142	12	.	.	PUNCT
ejpam-5507	143	1	(	(	PUNCT
ejpam-5507	143	2	18	18	NUM
ejpam-5507	143	3	)	)	PUNCT
ejpam-5507	143	4	the	the	DET
ejpam-5507	143	5	conditional	conditional	ADJ
ejpam-5507	143	6	distributions	distribution	NOUN
ejpam-5507	143	7	can	can	AUX
ejpam-5507	143	8	be	be	AUX
ejpam-5507	143	9	studied	study	VERB
ejpam-5507	143	10	for	for	ADP
ejpam-5507	143	11	any	any	DET
ejpam-5507	143	12	baseline	baseline	ADJ
ejpam-5507	143	13	distribution	distribution	NOUN
ejpam-5507	143	14	.	.	PUNCT
ejpam-5507	144	1	4.3	4.3	NUM
ejpam-5507	144	2	.	.	PUNCT
ejpam-5507	145	1	the	the	DET
ejpam-5507	145	2	bivariate	bivariate	ADJ
ejpam-5507	145	3	reliability	reliability	NOUN
ejpam-5507	145	4	and	and	CCONJ
ejpam-5507	145	5	hazard	hazard	NOUN
ejpam-5507	145	6	rate	rate	NOUN
ejpam-5507	145	7	function	function	VERB
ejpam-5507	145	8	the	the	DET
ejpam-5507	145	9	reliability	reliability	NOUN
ejpam-5507	145	10	function	function	NOUN
ejpam-5507	145	11	provides	provide	VERB
ejpam-5507	145	12	the	the	DET
ejpam-5507	145	13	chance	chance	NOUN
ejpam-5507	145	14	that	that	SCONJ
ejpam-5507	145	15	an	an	DET
ejpam-5507	145	16	item	item	NOUN
ejpam-5507	145	17	or	or	CCONJ
ejpam-5507	145	18	system	system	NOUN
ejpam-5507	145	19	will	will	AUX
ejpam-5507	145	20	function	function	VERB
ejpam-5507	145	21	at	at	ADP
ejpam-5507	145	22	any	any	DET
ejpam-5507	145	23	time	time	NOUN
ejpam-5507	145	24	t	t	NOUN
ejpam-5507	145	25	(	(	PUNCT
ejpam-5507	145	26	for	for	SCONJ
ejpam-5507	145	27	more	more	ADJ
ejpam-5507	145	28	details	detail	NOUN
ejpam-5507	145	29	see	see	VERB
ejpam-5507	145	30	[	[	X
ejpam-5507	145	31	27	27	NUM
ejpam-5507	145	32	]	]	NUM
ejpam-5507	145	33	)	)	PUNCT
ejpam-5507	145	34	.	.	PUNCT
ejpam-5507	146	1	the	the	DET
ejpam-5507	146	2	bivariate	bivariate	ADJ
ejpam-5507	146	3	reliability	reliability	NOUN
ejpam-5507	146	4	function	function	NOUN
ejpam-5507	146	5	(	(	PUNCT
ejpam-5507	146	6	brf	brf	PROPN
ejpam-5507	146	7	)	)	PUNCT
ejpam-5507	146	8	of	of	ADP
ejpam-5507	146	9	x1	x1	PROPN
ejpam-5507	146	10	and	and	CCONJ
ejpam-5507	146	11	x2	x2	PROPN
ejpam-5507	146	12	is	be	AUX
ejpam-5507	146	13	defined	define	VERB
ejpam-5507	146	14	as	as	ADP
ejpam-5507	146	15	r(x1	r(x1	ADJ
ejpam-5507	146	16	,	,	PUNCT
ejpam-5507	146	17	x2	x2	PROPN
ejpam-5507	146	18	)	)	PUNCT
ejpam-5507	146	19	=	=	SYM
ejpam-5507	147	1	1−	1−	NUM
ejpam-5507	148	1	[	[	X
ejpam-5507	148	2	fx1(x1	fx1(x1	NOUN
ejpam-5507	148	3	)	)	PUNCT
ejpam-5507	148	4	+	+	NUM
ejpam-5507	148	5	fx2(x2)−	fx2(x2)−	NOUN
ejpam-5507	148	6	fx1,x2(x1	fx1,x2(x1	NOUN
ejpam-5507	148	7	,	,	PUNCT
ejpam-5507	148	8	x2	x2	PROPN
ejpam-5507	148	9	)	)	PUNCT
ejpam-5507	148	10	]	]	PUNCT
ejpam-5507	148	11	e.	e.	PROPN
ejpam-5507	148	12	alsulami	alsulami	PROPN
ejpam-5507	148	13	,	,	PUNCT
ejpam-5507	148	14	l.	l.	PROPN
ejpam-5507	148	15	al	al	PROPN
ejpam-5507	148	16	-	-	PUNCT
ejpam-5507	148	17	turk	turk	PROPN
ejpam-5507	148	18	,	,	PUNCT
ejpam-5507	148	19	m.	m.	NOUN
ejpam-5507	148	20	q.	q.	PROPN
ejpam-5507	148	21	shahbaz	shahbaz	PROPN
ejpam-5507	148	22	/	/	SYM
ejpam-5507	148	23	eur	eur	PROPN
ejpam-5507	148	24	.	.	PUNCT
ejpam-5507	149	1	j.	j.	PROPN
ejpam-5507	149	2	pure	pure	PROPN
ejpam-5507	149	3	appl	appl	PROPN
ejpam-5507	149	4	.	.	PROPN
ejpam-5507	149	5	math	math	PROPN
ejpam-5507	149	6	,	,	PUNCT
ejpam-5507	149	7	17	17	NUM
ejpam-5507	149	8	(	(	PUNCT
ejpam-5507	149	9	4	4	NUM
ejpam-5507	149	10	)	)	PUNCT
ejpam-5507	149	11	(	(	PUNCT
ejpam-5507	149	12	2024	2024	NUM
ejpam-5507	149	13	)	)	PUNCT
ejpam-5507	149	14	,	,	PUNCT
ejpam-5507	149	15	3945	3945	NUM
ejpam-5507	149	16	-	-	SYM
ejpam-5507	149	17	3972	3972	NUM
ejpam-5507	149	18	3951	3951	NUM
ejpam-5507	149	19	using	use	VERB
ejpam-5507	149	20	eqs	eqs	PROPN
ejpam-5507	149	21	.	.	PROPN
ejpam-5507	149	22	15	15	NUM
ejpam-5507	149	23	,	,	PUNCT
ejpam-5507	149	24	16	16	NUM
ejpam-5507	149	25	,	,	PUNCT
ejpam-5507	149	26	and	and	CCONJ
ejpam-5507	149	27	11	11	NUM
ejpam-5507	149	28	in	in	ADP
ejpam-5507	149	29	the	the	DET
ejpam-5507	149	30	above	above	ADJ
ejpam-5507	149	31	equation	equation	NOUN
ejpam-5507	149	32	,	,	PUNCT
ejpam-5507	149	33	the	the	DET
ejpam-5507	149	34	brf	brf	NOUN
ejpam-5507	149	35	for	for	ADP
ejpam-5507	149	36	the	the	DET
ejpam-5507	149	37	btbf	btbf	NOUN
ejpam-5507	149	38	of	of	ADP
ejpam-5507	149	39	distributions	distribution	NOUN
ejpam-5507	149	40	is	be	AUX
ejpam-5507	149	41	r(x1	r(x1	ADJ
ejpam-5507	149	42	,	,	PUNCT
ejpam-5507	149	43	x2	x2	PRON
ejpam-5507	149	44	)	)	PUNCT
ejpam-5507	150	1	=	=	SYM
ejpam-5507	150	2	1−	1−	NUM
ejpam-5507	150	3	1−	1−	NUM
ejpam-5507	150	4	(	(	PUNCT
ejpam-5507	150	5	1	1	NUM
ejpam-5507	150	6	+	+	CCONJ
ejpam-5507	150	7	aβ1	aβ1	NOUN
ejpam-5507	150	8	1	1	NUM
ejpam-5507	150	9	)	)	PUNCT
ejpam-5507	150	10	−α	−α	NOUN
ejpam-5507	150	11	−	−	PROPN
ejpam-5507	150	12	(	(	PUNCT
ejpam-5507	150	13	1	1	NUM
ejpam-5507	150	14	+	+	CCONJ
ejpam-5507	150	15	aβ2	aβ2	NOUN
ejpam-5507	150	16	2	2	X
ejpam-5507	150	17	)	)	PUNCT
ejpam-5507	150	18	−α	−α	NOUN
ejpam-5507	150	19	+	+	CCONJ
ejpam-5507	150	20	(	(	PUNCT
ejpam-5507	150	21	1	1	NUM
ejpam-5507	150	22	+	+	CCONJ
ejpam-5507	150	23	(	(	PUNCT
ejpam-5507	150	24	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	150	25	)	)	PUNCT
ejpam-5507	150	26	)	)	PUNCT
ejpam-5507	151	1	β1	β1	NOUN
ejpam-5507	151	2	+	+	CCONJ
ejpam-5507	151	3	aβ2	aβ2	NOUN
ejpam-5507	151	4	2	2	X
ejpam-5507	151	5	)	)	PUNCT
ejpam-5507	151	6	−α	−α	NOUN
ejpam-5507	151	7	γ	γ	X
ejpam-5507	151	8	+	+	X
ejpam-5507	152	1	[	[	X
ejpam-5507	152	2	∆1(x1	∆1(x1	PROPN
ejpam-5507	152	3	,	,	PUNCT
ejpam-5507	152	4	x2	x2	PROPN
ejpam-5507	152	5	)	)	PUNCT
ejpam-5507	152	6	]	]	PUNCT
ejpam-5507	153	1	−α	−α	NOUN
ejpam-5507	153	2	−	−	PROPN
ejpam-5507	154	1	[	[	X
ejpam-5507	154	2	1	1	NUM
ejpam-5507	154	3	+	+	CCONJ
ejpam-5507	154	4	(	(	PUNCT
ejpam-5507	154	5	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	154	6	)	)	PUNCT
ejpam-5507	154	7	)	)	PUNCT
ejpam-5507	154	8	β2	β2	NOUN
ejpam-5507	154	9	+	+	CCONJ
ejpam-5507	154	10	aβ1	aβ1	NOUN
ejpam-5507	154	11	1	1	NUM
ejpam-5507	154	12	]	]	PUNCT
ejpam-5507	154	13	−α	−α	PROPN
ejpam-5507	154	14	γ	γ	X
ejpam-5507	154	15	(	(	PUNCT
ejpam-5507	154	16	19	19	NUM
ejpam-5507	154	17	)	)	PUNCT
ejpam-5507	154	18	where	where	SCONJ
ejpam-5507	154	19	g1(x1	g1(x1	NOUN
ejpam-5507	154	20	)	)	PUNCT
ejpam-5507	154	21	and	and	CCONJ
ejpam-5507	154	22	g2(x2	g2(x2	NOUN
ejpam-5507	154	23	)	)	PUNCT
ejpam-5507	154	24	any	any	DET
ejpam-5507	154	25	baseline	baseline	NOUN
ejpam-5507	154	26	cdf	cdf	PROPN
ejpam-5507	154	27	′s	′s	PROPN
ejpam-5507	154	28	.	.	PUNCT
ejpam-5507	155	1	the	the	DET
ejpam-5507	155	2	hazard	hazard	NOUN
ejpam-5507	155	3	rate	rate	NOUN
ejpam-5507	155	4	function	function	NOUN
ejpam-5507	155	5	provides	provide	VERB
ejpam-5507	155	6	the	the	DET
ejpam-5507	155	7	instantaneous	instantaneous	ADJ
ejpam-5507	155	8	rate	rate	NOUN
ejpam-5507	155	9	at	at	ADP
ejpam-5507	155	10	which	which	PRON
ejpam-5507	155	11	an	an	DET
ejpam-5507	155	12	item	item	NOUN
ejpam-5507	155	13	or	or	CCONJ
ejpam-5507	155	14	system	system	NOUN
ejpam-5507	155	15	will	will	AUX
ejpam-5507	155	16	fail	fail	VERB
ejpam-5507	155	17	,	,	PUNCT
ejpam-5507	155	18	given	give	VERB
ejpam-5507	155	19	that	that	SCONJ
ejpam-5507	155	20	it	it	PRON
ejpam-5507	155	21	has	have	AUX
ejpam-5507	155	22	already	already	ADV
ejpam-5507	155	23	survived	survive	VERB
ejpam-5507	155	24	a	a	DET
ejpam-5507	155	25	specific	specific	ADJ
ejpam-5507	155	26	length	length	NOUN
ejpam-5507	155	27	of	of	ADP
ejpam-5507	155	28	time	time	NOUN
ejpam-5507	155	29	.	.	PUNCT
ejpam-5507	156	1	the	the	DET
ejpam-5507	156	2	bivariate	bivariate	ADJ
ejpam-5507	156	3	hazard	hazard	NOUN
ejpam-5507	156	4	rate	rate	NOUN
ejpam-5507	156	5	function(bhrf	function(bhrf	PROPN
ejpam-5507	156	6	)	)	PUNCT
ejpam-5507	156	7	(	(	PUNCT
ejpam-5507	156	8	see	see	VERB
ejpam-5507	156	9	[	[	X
ejpam-5507	156	10	10])is	10])is	NUM
ejpam-5507	156	11	h(x1	h(x1	NOUN
ejpam-5507	156	12	,	,	PUNCT
ejpam-5507	156	13	x2	x2	NUM
ejpam-5507	156	14	)	)	PUNCT
ejpam-5507	156	15	=	=	SYM
ejpam-5507	156	16	f(x1	f(x1	X
ejpam-5507	156	17	,	,	PUNCT
ejpam-5507	156	18	x2	x2	ADJ
ejpam-5507	156	19	)	)	PUNCT
ejpam-5507	156	20	r(x1	r(x1	PROPN
ejpam-5507	156	21	,	,	PUNCT
ejpam-5507	156	22	x2	x2	PROPN
ejpam-5507	156	23	)	)	PUNCT
ejpam-5507	156	24	by	by	ADP
ejpam-5507	156	25	using	use	VERB
ejpam-5507	156	26	the	the	DET
ejpam-5507	156	27	pdf	pdf	NOUN
ejpam-5507	156	28	and	and	CCONJ
ejpam-5507	156	29	brf	brf	PROPN
ejpam-5507	156	30	of	of	ADP
ejpam-5507	156	31	the	the	DET
ejpam-5507	156	32	btbf	btbf	NOUN
ejpam-5507	156	33	of	of	ADP
ejpam-5507	156	34	distribution	distribution	NOUN
ejpam-5507	156	35	from	from	ADP
ejpam-5507	156	36	eqs.12	eqs.12	NOUN
ejpam-5507	156	37	and	and	CCONJ
ejpam-5507	156	38	19	19	NUM
ejpam-5507	156	39	,	,	PUNCT
ejpam-5507	156	40	the	the	DET
ejpam-5507	156	41	bhrf	bhrf	NOUN
ejpam-5507	156	42	for	for	ADP
ejpam-5507	156	43	the	the	DET
ejpam-5507	156	44	btbf	btbf	NOUN
ejpam-5507	156	45	of	of	ADP
ejpam-5507	156	46	distribution	distribution	NOUN
ejpam-5507	156	47	is	be	AUX
ejpam-5507	156	48	h(x1	h(x1	ADJ
ejpam-5507	156	49	,	,	PUNCT
ejpam-5507	156	50	x2	x2	PROPN
ejpam-5507	156	51	)	)	PUNCT
ejpam-5507	156	52	=	=	SYM
ejpam-5507	156	53	1	1	NUM
ejpam-5507	156	54	γ	γ	X
ejpam-5507	156	55	α(α+	α(α+	NUM
ejpam-5507	156	56	1)β1β2a	1)β1β2a	NUM
ejpam-5507	156	57	β1	β1	PROPN
ejpam-5507	156	58	1	1	NUM
ejpam-5507	156	59	aβ2	aβ2	NOUN
ejpam-5507	156	60	2	2	NUM
ejpam-5507	156	61	g1	g1	NOUN
ejpam-5507	156	62	(	(	PUNCT
ejpam-5507	156	63	x1	x1	PROPN
ejpam-5507	156	64	)	)	PUNCT
ejpam-5507	156	65	g2	g2	PROPN
ejpam-5507	156	66	(	(	PUNCT
ejpam-5507	156	67	x2)g1	x2)g1	X
ejpam-5507	156	68	(	(	PUNCT
ejpam-5507	156	69	x1	x1	PROPN
ejpam-5507	156	70	)	)	PUNCT
ejpam-5507	156	71	β1−1g2	β1−1g2	NOUN
ejpam-5507	156	72	(	(	PUNCT
ejpam-5507	156	73	x2	x2	PROPN
ejpam-5507	156	74	)	)	PUNCT
ejpam-5507	156	75	β2−1	β2−1	PUNCT
ejpam-5507	157	1	[	[	X
ejpam-5507	157	2	∆1(x1	∆1(x1	PROPN
ejpam-5507	157	3	,	,	PUNCT
ejpam-5507	157	4	x2	x2	PROPN
ejpam-5507	157	5	)	)	PUNCT
ejpam-5507	157	6	]	]	PUNCT
ejpam-5507	157	7	−(α+2	−(α+2	PROPN
ejpam-5507	157	8	)	)	PUNCT
ejpam-5507	157	9	÷	÷	NOUN
ejpam-5507	158	1	[	[	PUNCT
ejpam-5507	158	2	1−	1−	NUM
ejpam-5507	158	3	1−	1−	NUM
ejpam-5507	158	4	(	(	PUNCT
ejpam-5507	158	5	1	1	NUM
ejpam-5507	158	6	+	+	CCONJ
ejpam-5507	158	7	aβ1	aβ1	NOUN
ejpam-5507	158	8	1	1	NUM
ejpam-5507	158	9	)	)	PUNCT
ejpam-5507	158	10	−α	−α	NOUN
ejpam-5507	158	11	−	−	PROPN
ejpam-5507	159	1	(	(	PUNCT
ejpam-5507	159	2	1	1	NUM
ejpam-5507	159	3	+	+	CCONJ
ejpam-5507	159	4	aβ2	aβ2	NOUN
ejpam-5507	159	5	2	2	X
ejpam-5507	159	6	)	)	PUNCT
ejpam-5507	159	7	−α	−α	NOUN
ejpam-5507	159	8	+	+	CCONJ
ejpam-5507	159	9	(	(	PUNCT
ejpam-5507	159	10	1	1	NUM
ejpam-5507	159	11	+	+	CCONJ
ejpam-5507	159	12	(	(	PUNCT
ejpam-5507	159	13	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	159	14	)	)	PUNCT
ejpam-5507	159	15	)	)	PUNCT
ejpam-5507	160	1	β1	β1	NOUN
ejpam-5507	160	2	+	+	CCONJ
ejpam-5507	160	3	aβ2	aβ2	NOUN
ejpam-5507	160	4	2	2	X
ejpam-5507	160	5	)	)	PUNCT
ejpam-5507	160	6	−α	−α	NOUN
ejpam-5507	160	7	γ	γ	X
ejpam-5507	160	8	+	+	X
ejpam-5507	161	1	[	[	X
ejpam-5507	161	2	∆1(x1	∆1(x1	PROPN
ejpam-5507	161	3	,	,	PUNCT
ejpam-5507	161	4	x2	x2	PROPN
ejpam-5507	161	5	)	)	PUNCT
ejpam-5507	161	6	]	]	PUNCT
ejpam-5507	162	1	−α	−α	NOUN
ejpam-5507	162	2	−	−	PROPN
ejpam-5507	163	1	[	[	X
ejpam-5507	163	2	1	1	NUM
ejpam-5507	163	3	+	+	NUM
ejpam-5507	163	4	[	[	X
ejpam-5507	163	5	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	163	6	)	)	PUNCT
ejpam-5507	163	7	]	]	PUNCT
ejpam-5507	164	1	β2	β2	NOUN
ejpam-5507	164	2	+	+	CCONJ
ejpam-5507	164	3	aβ1	aβ1	NOUN
ejpam-5507	164	4	1	1	NUM
ejpam-5507	164	5	]	]	PUNCT
ejpam-5507	164	6	−α	−α	NOUN
ejpam-5507	164	7	γ	γ	X
ejpam-5507	164	8	]	]	PUNCT
ejpam-5507	164	9	(	(	PUNCT
ejpam-5507	164	10	20	20	NUM
ejpam-5507	164	11	)	)	PUNCT
ejpam-5507	164	12	the	the	DET
ejpam-5507	164	13	bhrf	bhrf	NOUN
ejpam-5507	164	14	can	can	AUX
ejpam-5507	164	15	be	be	AUX
ejpam-5507	164	16	calculated	calculate	VERB
ejpam-5507	164	17	for	for	ADP
ejpam-5507	164	18	any	any	DET
ejpam-5507	164	19	baseline	baseline	ADJ
ejpam-5507	164	20	distribution	distribution	NOUN
ejpam-5507	164	21	.	.	PUNCT
ejpam-5507	165	1	4.4	4.4	NUM
ejpam-5507	165	2	.	.	PUNCT
ejpam-5507	166	1	maximum	maximum	ADJ
ejpam-5507	166	2	likelihood	likelihood	NOUN
ejpam-5507	166	3	estimation	estimation	NOUN
ejpam-5507	166	4	this	this	DET
ejpam-5507	166	5	section	section	NOUN
ejpam-5507	166	6	discusses	discuss	VERB
ejpam-5507	166	7	the	the	DET
ejpam-5507	166	8	maximum	maximum	ADJ
ejpam-5507	166	9	likelihood	likelihood	NOUN
ejpam-5507	166	10	estimation	estimation	NOUN
ejpam-5507	166	11	for	for	ADP
ejpam-5507	166	12	the	the	DET
ejpam-5507	166	13	parameters	parameter	NOUN
ejpam-5507	166	14	of	of	ADP
ejpam-5507	166	15	the	the	DET
ejpam-5507	166	16	btbf	btbf	NOUN
ejpam-5507	166	17	of	of	ADP
ejpam-5507	166	18	distributions	distribution	NOUN
ejpam-5507	166	19	.	.	PUNCT
ejpam-5507	167	1	the	the	DET
ejpam-5507	167	2	likelihood	likelihood	NOUN
ejpam-5507	167	3	function	function	NOUN
ejpam-5507	167	4	for	for	ADP
ejpam-5507	167	5	the	the	DET
ejpam-5507	167	6	proposed	propose	VERB
ejpam-5507	167	7	btbf	btbf	NOUN
ejpam-5507	167	8	of	of	ADP
ejpam-5507	167	9	distributions	distribution	NOUN
ejpam-5507	167	10	is	be	AUX
ejpam-5507	167	11	lf	lf	ADP
ejpam-5507	167	12	=	=	NOUN
ejpam-5507	167	13	αn(α+	αn(α+	NOUN
ejpam-5507	167	14	1)nanβ1	1)nanβ1	NUM
ejpam-5507	167	15	1	1	NUM
ejpam-5507	167	16	anβ2	anβ2	NOUN
ejpam-5507	167	17	2	2	NUM
ejpam-5507	167	18	βn	βn	NOUN
ejpam-5507	167	19	1	1	NUM
ejpam-5507	167	20	β	β	NOUN
ejpam-5507	167	21	n	n	PRON
ejpam-5507	167	22	2	2	NUM
ejpam-5507	167	23	[	[	PUNCT
ejpam-5507	167	24	1−	1−	NUM
ejpam-5507	167	25	(	(	PUNCT
ejpam-5507	167	26	1	1	NUM
ejpam-5507	167	27	+	+	CCONJ
ejpam-5507	167	28	aβ1	aβ1	NOUN
ejpam-5507	167	29	1	1	NUM
ejpam-5507	167	30	)	)	PUNCT
ejpam-5507	167	31	−α	−α	NOUN
ejpam-5507	167	32	−	−	PROPN
ejpam-5507	168	1	(	(	PUNCT
ejpam-5507	168	2	1	1	NUM
ejpam-5507	168	3	+	+	CCONJ
ejpam-5507	168	4	aβ2	aβ2	NOUN
ejpam-5507	168	5	2	2	X
ejpam-5507	168	6	)	)	PUNCT
ejpam-5507	168	7	−α	−α	NOUN
ejpam-5507	168	8	+	+	CCONJ
ejpam-5507	168	9	(	(	PUNCT
ejpam-5507	168	10	1	1	NUM
ejpam-5507	168	11	+	+	CCONJ
ejpam-5507	168	12	aβ1	aβ1	NOUN
ejpam-5507	168	13	1	1	NUM
ejpam-5507	168	14	+	+	CCONJ
ejpam-5507	168	15	aβ2	aβ2	NOUN
ejpam-5507	168	16	2	2	NUM
ejpam-5507	168	17	)	)	PUNCT
ejpam-5507	168	18	−α	−α	NOUN
ejpam-5507	168	19	]	]	PUNCT
ejpam-5507	168	20	−n	−n	PROPN
ejpam-5507	168	21	×	×	PROPN
ejpam-5507	168	22	n∏	n∏	PROPN
ejpam-5507	168	23	i=1	i=1	PROPN
ejpam-5507	169	1	g1(x1	g1(x1	NOUN
ejpam-5507	169	2	)	)	PUNCT
ejpam-5507	169	3	n∏	n∏	PROPN
ejpam-5507	169	4	i=1	i=1	PROPN
ejpam-5507	169	5	g2(x2	g2(x2	NOUN
ejpam-5507	169	6	)	)	PUNCT
ejpam-5507	170	1	n∏	n∏	PROPN
ejpam-5507	170	2	i=1	i=1	PROPN
ejpam-5507	170	3	g1(x1	g1(x1	NOUN
ejpam-5507	170	4	)	)	PUNCT
ejpam-5507	170	5	β1−1	β1−1	PROPN
ejpam-5507	171	1	n∏	n∏	PROPN
ejpam-5507	171	2	i=1	i=1	PROPN
ejpam-5507	171	3	g2(x2	g2(x2	NOUN
ejpam-5507	171	4	)	)	PUNCT
ejpam-5507	171	5	β2−1	β2−1	ADP
ejpam-5507	171	6	n∏	n∏	PROPN
ejpam-5507	171	7	i=1	i=1	X
ejpam-5507	172	1	[	[	PUNCT
ejpam-5507	172	2	1	1	NUM
ejpam-5507	172	3	+	+	CCONJ
ejpam-5507	172	4	[	[	X
ejpam-5507	172	5	a1g1(x1	a1g1(x1	NOUN
ejpam-5507	172	6	)	)	PUNCT
ejpam-5507	172	7	]	]	PUNCT
ejpam-5507	173	1	β1	β1	PROPN
ejpam-5507	173	2	+	+	CCONJ
ejpam-5507	173	3	[	[	X
ejpam-5507	173	4	a2g2(x2	a2g2(x2	NOUN
ejpam-5507	173	5	)	)	PUNCT
ejpam-5507	173	6	]	]	PUNCT
ejpam-5507	174	1	β2	β2	NOUN
ejpam-5507	174	2	]	]	PUNCT
ejpam-5507	174	3	−(α+2	−(α+2	PROPN
ejpam-5507	174	4	)	)	PUNCT
ejpam-5507	174	5	.	.	PUNCT
ejpam-5507	175	1	e.	e.	PROPN
ejpam-5507	175	2	alsulami	alsulami	PROPN
ejpam-5507	175	3	,	,	PUNCT
ejpam-5507	175	4	l.	l.	PROPN
ejpam-5507	175	5	al	al	PROPN
ejpam-5507	175	6	-	-	PUNCT
ejpam-5507	175	7	turk	turk	PROPN
ejpam-5507	175	8	,	,	PUNCT
ejpam-5507	175	9	m.	m.	NOUN
ejpam-5507	175	10	q.	q.	PROPN
ejpam-5507	175	11	shahbaz	shahbaz	PROPN
ejpam-5507	175	12	/	/	SYM
ejpam-5507	175	13	eur	eur	PROPN
ejpam-5507	175	14	.	.	PUNCT
ejpam-5507	176	1	j.	j.	PROPN
ejpam-5507	176	2	pure	pure	PROPN
ejpam-5507	176	3	appl	appl	PROPN
ejpam-5507	176	4	.	.	PROPN
ejpam-5507	176	5	math	math	PROPN
ejpam-5507	176	6	,	,	PUNCT
ejpam-5507	176	7	17	17	NUM
ejpam-5507	176	8	(	(	PUNCT
ejpam-5507	176	9	4	4	NUM
ejpam-5507	176	10	)	)	PUNCT
ejpam-5507	176	11	(	(	PUNCT
ejpam-5507	176	12	2024	2024	NUM
ejpam-5507	176	13	)	)	PUNCT
ejpam-5507	176	14	,	,	PUNCT
ejpam-5507	176	15	3945	3945	NUM
ejpam-5507	176	16	-	-	SYM
ejpam-5507	176	17	3972	3972	NUM
ejpam-5507	176	18	3952	3952	NUM
ejpam-5507	176	19	the	the	DET
ejpam-5507	176	20	log	log	NOUN
ejpam-5507	176	21	of	of	ADP
ejpam-5507	176	22	likelihood	likelihood	NOUN
ejpam-5507	176	23	function	function	NOUN
ejpam-5507	176	24	is	be	AUX
ejpam-5507	176	25	ℓ	ℓ	NOUN
ejpam-5507	176	26	=	=	PROPN
ejpam-5507	176	27	n	n	NOUN
ejpam-5507	176	28	ln(α	ln(α	ADV
ejpam-5507	176	29	)	)	PUNCT
ejpam-5507	177	1	+	+	CCONJ
ejpam-5507	177	2	n	n	CCONJ
ejpam-5507	177	3	ln(α+	ln(α+	NOUN
ejpam-5507	177	4	1	1	NUM
ejpam-5507	177	5	)	)	PUNCT
ejpam-5507	177	6	+	+	CCONJ
ejpam-5507	177	7	nβ1	nβ1	NUM
ejpam-5507	177	8	ln(a1	ln(a1	NOUN
ejpam-5507	177	9	)	)	PUNCT
ejpam-5507	178	1	+	+	CCONJ
ejpam-5507	178	2	nβ2	nβ2	ADV
ejpam-5507	178	3	ln(a2	ln(a2	ADJ
ejpam-5507	178	4	)	)	PUNCT
ejpam-5507	179	1	+	+	CCONJ
ejpam-5507	179	2	n	n	PRON
ejpam-5507	179	3	ln(β1	ln(β1	NOUN
ejpam-5507	179	4	)	)	PUNCT
ejpam-5507	180	1	+	+	CCONJ
ejpam-5507	180	2	n	n	DET
ejpam-5507	180	3	ln(β2	ln(β2	NOUN
ejpam-5507	180	4	)	)	PUNCT
ejpam-5507	181	1	+	+	NUM
ejpam-5507	181	2	n∑	n∑	PROPN
ejpam-5507	181	3	i=1	i=1	PROPN
ejpam-5507	181	4	ln[g1(x1i	ln[g1(x1i	PROPN
ejpam-5507	181	5	)	)	PUNCT
ejpam-5507	181	6	]	]	PUNCT
ejpam-5507	182	1	+	+	CCONJ
ejpam-5507	182	2	n∑	n∑	PROPN
ejpam-5507	182	3	i=1	i=1	PROPN
ejpam-5507	182	4	ln[g2(x2i	ln[g2(x2i	NOUN
ejpam-5507	182	5	)	)	PUNCT
ejpam-5507	182	6	]	]	PUNCT
ejpam-5507	183	1	+	+	CCONJ
ejpam-5507	183	2	(	(	PUNCT
ejpam-5507	183	3	β1	β1	VERB
ejpam-5507	183	4	−	−	NOUN
ejpam-5507	183	5	1	1	NUM
ejpam-5507	183	6	)	)	PUNCT
ejpam-5507	183	7	n∑	n∑	NOUN
ejpam-5507	183	8	i=1	i=1	PROPN
ejpam-5507	183	9	ln[g1(x1i	ln[g1(x1i	PROPN
ejpam-5507	183	10	)	)	PUNCT
ejpam-5507	183	11	]	]	PUNCT
ejpam-5507	184	1	+	+	CCONJ
ejpam-5507	184	2	(	(	PUNCT
ejpam-5507	184	3	β2	β2	VERB
ejpam-5507	184	4	−	−	PROPN
ejpam-5507	184	5	1	1	NUM
ejpam-5507	184	6	)	)	PUNCT
ejpam-5507	184	7	n∑	n∑	NOUN
ejpam-5507	184	8	i=1	i=1	PROPN
ejpam-5507	184	9	ln[g2(x2i	ln[g2(x2i	PROPN
ejpam-5507	184	10	)	)	PUNCT
ejpam-5507	184	11	]	]	PUNCT
ejpam-5507	185	1	−	−	PROPN
ejpam-5507	185	2	(	(	PUNCT
ejpam-5507	185	3	α+	α+	NOUN
ejpam-5507	185	4	2	2	NUM
ejpam-5507	185	5	)	)	PUNCT
ejpam-5507	185	6	n∑	n∑	NOUN
ejpam-5507	185	7	i=1	i=1	PROPN
ejpam-5507	186	1	ln(∆1(x1	ln(∆1(x1	PROPN
ejpam-5507	186	2	,	,	PUNCT
ejpam-5507	186	3	x2))−	x2))−	NOUN
ejpam-5507	186	4	n	n	NUM
ejpam-5507	186	5	ln(γ	ln(γ	NUM
ejpam-5507	186	6	)	)	PUNCT
ejpam-5507	186	7	,	,	PUNCT
ejpam-5507	186	8	(	(	PUNCT
ejpam-5507	186	9	21	21	NUM
ejpam-5507	186	10	)	)	PUNCT
ejpam-5507	186	11	where	where	SCONJ
ejpam-5507	186	12	γ	γ	PROPN
ejpam-5507	186	13	and	and	CCONJ
ejpam-5507	186	14	∆1(x1	∆1(x1	PROPN
ejpam-5507	186	15	,	,	PUNCT
ejpam-5507	186	16	x2	x2	NUM
ejpam-5507	186	17	)	)	PUNCT
ejpam-5507	186	18	are	be	AUX
ejpam-5507	186	19	earlier	early	ADV
ejpam-5507	186	20	defined	define	VERB
ejpam-5507	186	21	.	.	PUNCT
ejpam-5507	187	1	the	the	DET
ejpam-5507	187	2	derivatives	derivative	NOUN
ejpam-5507	187	3	of	of	ADP
ejpam-5507	187	4	log	log	NOUN
ejpam-5507	187	5	of	of	ADP
ejpam-5507	187	6	likelihood	likelihood	NOUN
ejpam-5507	187	7	function	function	NOUN
ejpam-5507	187	8	w.r.t	w.r.t	PROPN
ejpam-5507	187	9	α	α	NOUN
ejpam-5507	187	10	,	,	PUNCT
ejpam-5507	187	11	a1,a2,β1	a1,a2,β1	PROPN
ejpam-5507	187	12	and	and	CCONJ
ejpam-5507	187	13	β2	β2	NOUN
ejpam-5507	187	14	are	be	AUX
ejpam-5507	187	15	∂ℓ	∂ℓ	PROPN
ejpam-5507	187	16	∂α	∂α	PROPN
ejpam-5507	187	17	=	=	PUNCT
ejpam-5507	188	1	n	n	CCONJ
ejpam-5507	188	2	α	α	NOUN
ejpam-5507	188	3	+	+	CCONJ
ejpam-5507	188	4	n	n	CCONJ
ejpam-5507	188	5	α+	α+	PRON
ejpam-5507	188	6	1	1	NUM
ejpam-5507	188	7	−	−	PROPN
ejpam-5507	188	8	n∑	n∑	NOUN
ejpam-5507	188	9	i=1	i=1	PROPN
ejpam-5507	189	1	ln	ln	PROPN
ejpam-5507	190	1	[	[	X
ejpam-5507	190	2	∆1(x1	∆1(x1	PROPN
ejpam-5507	190	3	,	,	PUNCT
ejpam-5507	190	4	x2)]−	x2)]−	PROPN
ejpam-5507	190	5	n	n	CCONJ
ejpam-5507	190	6	γ	γ	X
ejpam-5507	190	7	[	[	PUNCT
ejpam-5507	190	8	(	(	PUNCT
ejpam-5507	190	9	1	1	NUM
ejpam-5507	190	10	+	+	CCONJ
ejpam-5507	190	11	aβ1	aβ1	NOUN
ejpam-5507	190	12	1	1	NUM
ejpam-5507	190	13	)	)	PUNCT
ejpam-5507	190	14	−α	−α	NOUN
ejpam-5507	191	1	ln(1	ln(1	NOUN
ejpam-5507	191	2	+	+	CCONJ
ejpam-5507	191	3	aβ1	aβ1	NOUN
ejpam-5507	191	4	1	1	NUM
ejpam-5507	191	5	)	)	PUNCT
ejpam-5507	191	6	+	+	CCONJ
ejpam-5507	191	7	(	(	PUNCT
ejpam-5507	191	8	1	1	NUM
ejpam-5507	191	9	+	+	NUM
ejpam-5507	191	10	aβ2	aβ2	NOUN
ejpam-5507	191	11	2	2	X
ejpam-5507	191	12	)	)	PUNCT
ejpam-5507	191	13	−α	−α	NOUN
ejpam-5507	191	14	ln(1	ln(1	NOUN
ejpam-5507	191	15	+	+	CCONJ
ejpam-5507	191	16	aβ2	aβ2	NOUN
ejpam-5507	191	17	2	2	NUM
ejpam-5507	191	18	)	)	PUNCT
ejpam-5507	191	19	−(1	−(1	NOUN
ejpam-5507	192	1	+	+	CCONJ
ejpam-5507	192	2	aβ1	aβ1	NOUN
ejpam-5507	192	3	1	1	NUM
ejpam-5507	192	4	+	+	CCONJ
ejpam-5507	192	5	aβ2	aβ2	NOUN
ejpam-5507	192	6	2	2	X
ejpam-5507	192	7	)	)	PUNCT
ejpam-5507	192	8	−α	−α	NOUN
ejpam-5507	192	9	ln(1	ln(1	NOUN
ejpam-5507	192	10	+	+	CCONJ
ejpam-5507	192	11	aβ1	aβ1	NOUN
ejpam-5507	192	12	1	1	NUM
ejpam-5507	192	13	+	+	CCONJ
ejpam-5507	192	14	aβ2	aβ2	NOUN
ejpam-5507	192	15	2	2	NUM
ejpam-5507	192	16	)	)	PUNCT
ejpam-5507	192	17	]	]	PUNCT
ejpam-5507	193	1	(	(	PUNCT
ejpam-5507	193	2	22	22	X
ejpam-5507	193	3	)	)	PUNCT
ejpam-5507	193	4	∂ℓ	∂ℓ	PROPN
ejpam-5507	193	5	∂a1	∂a1	VERB
ejpam-5507	193	6	=	=	PUNCT
ejpam-5507	193	7	nβ1	nβ1	ADJ
ejpam-5507	193	8	a1	a1	NOUN
ejpam-5507	193	9	−	−	PROPN
ejpam-5507	193	10	(	(	PUNCT
ejpam-5507	193	11	α+	α+	NOUN
ejpam-5507	193	12	2	2	NUM
ejpam-5507	193	13	)	)	PUNCT
ejpam-5507	193	14	n∑	n∑	NOUN
ejpam-5507	193	15	i=1	i=1	PROPN
ejpam-5507	194	1	β1a	β1a	ADJ
ejpam-5507	194	2	β1−1	β1−1	NUM
ejpam-5507	194	3	1	1	NUM
ejpam-5507	194	4	g1(x1i	g1(x1i	PROPN
ejpam-5507	194	5	)	)	PUNCT
ejpam-5507	194	6	β1	β1	PROPN
ejpam-5507	194	7	∆1(x1	∆1(x1	PROPN
ejpam-5507	194	8	,	,	PUNCT
ejpam-5507	194	9	x2	x2	PROPN
ejpam-5507	194	10	)	)	PUNCT
ejpam-5507	194	11	−	−	PROPN
ejpam-5507	194	12	nαβ1a	nαβ1a	NUM
ejpam-5507	194	13	β1−1	β1−1	NUM
ejpam-5507	194	14	1	1	NUM
ejpam-5507	194	15	γ	γ	NOUN
ejpam-5507	194	16	−	−	PROPN
ejpam-5507	194	17	[	[	PUNCT
ejpam-5507	194	18	(	(	PUNCT
ejpam-5507	194	19	1	1	NUM
ejpam-5507	194	20	+	+	CCONJ
ejpam-5507	194	21	aβ1	aβ1	NOUN
ejpam-5507	194	22	1	1	NUM
ejpam-5507	194	23	)	)	PUNCT
ejpam-5507	194	24	−(α+1	−(α+1	NOUN
ejpam-5507	194	25	)	)	PUNCT
ejpam-5507	195	1	−	−	PROPN
ejpam-5507	195	2	(	(	PUNCT
ejpam-5507	195	3	1	1	NUM
ejpam-5507	195	4	+	+	CCONJ
ejpam-5507	195	5	aβ1	aβ1	NOUN
ejpam-5507	195	6	1	1	NUM
ejpam-5507	195	7	+	+	CCONJ
ejpam-5507	195	8	aβ2	aβ2	NOUN
ejpam-5507	195	9	2	2	NUM
ejpam-5507	195	10	)	)	PUNCT
ejpam-5507	195	11	−(α+1	−(α+1	NOUN
ejpam-5507	195	12	)	)	PUNCT
ejpam-5507	195	13	]	]	PUNCT
ejpam-5507	196	1	(	(	PUNCT
ejpam-5507	196	2	23	23	X
ejpam-5507	196	3	)	)	PUNCT
ejpam-5507	196	4	∂ℓ	∂ℓ	PROPN
ejpam-5507	196	5	∂a2	∂a2	PROPN
ejpam-5507	196	6	=	=	PUNCT
ejpam-5507	196	7	nβ2	nβ2	PROPN
ejpam-5507	196	8	a2	a2	PROPN
ejpam-5507	196	9	−	−	PROPN
ejpam-5507	196	10	(	(	PUNCT
ejpam-5507	196	11	α+	α+	NOUN
ejpam-5507	196	12	2	2	NUM
ejpam-5507	196	13	)	)	PUNCT
ejpam-5507	196	14	n∑	n∑	NOUN
ejpam-5507	197	1	i=1	i=1	PROPN
ejpam-5507	197	2	β2a	β2a	PUNCT
ejpam-5507	197	3	β2−1	β2−1	ADP
ejpam-5507	197	4	2	2	NUM
ejpam-5507	197	5	g2(x2i	g2(x2i	NOUN
ejpam-5507	197	6	)	)	PUNCT
ejpam-5507	197	7	β2	β2	NOUN
ejpam-5507	197	8	∆1(x1	∆1(x1	PROPN
ejpam-5507	197	9	,	,	PUNCT
ejpam-5507	197	10	x2	x2	PROPN
ejpam-5507	197	11	)	)	PUNCT
ejpam-5507	197	12	−	−	PUNCT
ejpam-5507	198	1	nαβ2a	nαβ2a	PROPN
ejpam-5507	198	2	β2−1	β2−1	ADP
ejpam-5507	198	3	2	2	NUM
ejpam-5507	198	4	γ	γ	NOUN
ejpam-5507	198	5	−	−	PROPN
ejpam-5507	199	1	[	[	PUNCT
ejpam-5507	199	2	(	(	PUNCT
ejpam-5507	199	3	1	1	NUM
ejpam-5507	199	4	+	+	CCONJ
ejpam-5507	199	5	aβ2	aβ2	NOUN
ejpam-5507	199	6	2	2	NUM
ejpam-5507	199	7	)	)	PUNCT
ejpam-5507	199	8	−(α+1	−(α+1	NOUN
ejpam-5507	199	9	)	)	PUNCT
ejpam-5507	200	1	−	−	PROPN
ejpam-5507	200	2	(	(	PUNCT
ejpam-5507	200	3	1	1	NUM
ejpam-5507	200	4	+	+	CCONJ
ejpam-5507	200	5	aβ1	aβ1	NOUN
ejpam-5507	200	6	1	1	NUM
ejpam-5507	200	7	+	+	CCONJ
ejpam-5507	200	8	aβ2	aβ2	NOUN
ejpam-5507	200	9	2	2	NUM
ejpam-5507	200	10	)	)	PUNCT
ejpam-5507	200	11	−(α+1	−(α+1	NOUN
ejpam-5507	200	12	)	)	PUNCT
ejpam-5507	200	13	]	]	PUNCT
ejpam-5507	200	14	(	(	PUNCT
ejpam-5507	200	15	24	24	NUM
ejpam-5507	200	16	)	)	PUNCT
ejpam-5507	200	17	∂ℓ	∂ℓ	PROPN
ejpam-5507	201	1	∂β1	∂β1	PROPN
ejpam-5507	201	2	=	=	SYM
ejpam-5507	201	3	n	n	PRON
ejpam-5507	201	4	ln(a1	ln(a1	NOUN
ejpam-5507	201	5	)	)	PUNCT
ejpam-5507	202	1	+	+	CCONJ
ejpam-5507	202	2	n	n	CCONJ
ejpam-5507	202	3	β1	β1	NOUN
ejpam-5507	202	4	+	+	CCONJ
ejpam-5507	202	5	n∑	n∑	NOUN
ejpam-5507	202	6	i=1	i=1	PROPN
ejpam-5507	203	1	ln(g1(x1i))−	ln(g1(x1i))−	PROPN
ejpam-5507	203	2	(	(	PUNCT
ejpam-5507	203	3	α+	α+	NOUN
ejpam-5507	203	4	2	2	NUM
ejpam-5507	203	5	)	)	PUNCT
ejpam-5507	203	6	n∑	n∑	NOUN
ejpam-5507	203	7	i=1	i=1	X
ejpam-5507	204	1	[	[	X
ejpam-5507	204	2	a1g1(x1i	a1g1(x1i	NOUN
ejpam-5507	204	3	)	)	PUNCT
ejpam-5507	204	4	]	]	PUNCT
ejpam-5507	205	1	β1	β1	PROPN
ejpam-5507	205	2	ln[a1g1(x1i	ln[a1g1(x1i	PROPN
ejpam-5507	205	3	)	)	PUNCT
ejpam-5507	205	4	]	]	PUNCT
ejpam-5507	206	1	∆1(x1	∆1(x1	PROPN
ejpam-5507	206	2	,	,	PUNCT
ejpam-5507	206	3	x2	x2	PROPN
ejpam-5507	206	4	)	)	PUNCT
ejpam-5507	206	5	−	−	ADP
ejpam-5507	206	6	nαaβ1	nαaβ1	NOUN
ejpam-5507	206	7	1	1	NUM
ejpam-5507	206	8	ln	ln	NOUN
ejpam-5507	206	9	a1	a1	NOUN
ejpam-5507	206	10	γ	γ	X
ejpam-5507	206	11	[	[	PUNCT
ejpam-5507	206	12	(	(	PUNCT
ejpam-5507	206	13	1	1	NUM
ejpam-5507	206	14	+	+	CCONJ
ejpam-5507	206	15	aβ1	aβ1	NOUN
ejpam-5507	206	16	1	1	NUM
ejpam-5507	206	17	)	)	PUNCT
ejpam-5507	206	18	−(α+1	−(α+1	NOUN
ejpam-5507	206	19	)	)	PUNCT
ejpam-5507	206	20	−	−	PROPN
ejpam-5507	206	21	(	(	PUNCT
ejpam-5507	206	22	1	1	NUM
ejpam-5507	206	23	+	+	CCONJ
ejpam-5507	206	24	aβ1	aβ1	NOUN
ejpam-5507	206	25	1	1	NUM
ejpam-5507	206	26	+	+	CCONJ
ejpam-5507	206	27	aβ2	aβ2	NOUN
ejpam-5507	206	28	2	2	NUM
ejpam-5507	206	29	)	)	PUNCT
ejpam-5507	206	30	−(α+1	−(α+1	NOUN
ejpam-5507	206	31	)	)	PUNCT
ejpam-5507	206	32	]	]	PUNCT
ejpam-5507	206	33	(	(	PUNCT
ejpam-5507	206	34	25	25	NUM
ejpam-5507	206	35	)	)	PUNCT
ejpam-5507	206	36	and	and	CCONJ
ejpam-5507	206	37	∂ℓ	∂ℓ	PROPN
ejpam-5507	206	38	∂β2	∂β2	ADJ
ejpam-5507	206	39	=	=	NOUN
ejpam-5507	206	40	n	n	PRON
ejpam-5507	206	41	ln(a2	ln(a2	NOUN
ejpam-5507	206	42	)	)	PUNCT
ejpam-5507	206	43	+	+	CCONJ
ejpam-5507	206	44	n	n	PRON
ejpam-5507	206	45	β2	β2	NOUN
ejpam-5507	206	46	+	+	CCONJ
ejpam-5507	206	47	n∑	n∑	PROPN
ejpam-5507	206	48	i=1	i=1	PROPN
ejpam-5507	207	1	ln(g2(x2i))−	ln(g2(x2i))−	PROPN
ejpam-5507	207	2	(	(	PUNCT
ejpam-5507	207	3	α+	α+	NOUN
ejpam-5507	207	4	2	2	NUM
ejpam-5507	207	5	)	)	PUNCT
ejpam-5507	207	6	n∑	n∑	NOUN
ejpam-5507	207	7	i=1	i=1	X
ejpam-5507	208	1	[	[	X
ejpam-5507	208	2	a2g2(x2i	a2g2(x2i	NOUN
ejpam-5507	208	3	)	)	PUNCT
ejpam-5507	208	4	]	]	PUNCT
ejpam-5507	208	5	β2	β2	NOUN
ejpam-5507	208	6	ln[a2g2(x2i	ln[a2g2(x2i	NOUN
ejpam-5507	208	7	)	)	PUNCT
ejpam-5507	208	8	]	]	PUNCT
ejpam-5507	209	1	∆1(x1	∆1(x1	PROPN
ejpam-5507	209	2	,	,	PUNCT
ejpam-5507	209	3	x2	x2	PROPN
ejpam-5507	209	4	)	)	PUNCT
ejpam-5507	209	5	−	−	ADP
ejpam-5507	209	6	nαaβ2	nαaβ2	NOUN
ejpam-5507	209	7	2	2	NUM
ejpam-5507	209	8	ln	ln	NOUN
ejpam-5507	209	9	a2	a2	PROPN
ejpam-5507	209	10	γ	γ	X
ejpam-5507	209	11	[	[	PUNCT
ejpam-5507	209	12	(	(	PUNCT
ejpam-5507	209	13	1	1	NUM
ejpam-5507	209	14	+	+	CCONJ
ejpam-5507	209	15	aβ2	aβ2	NOUN
ejpam-5507	209	16	2	2	NUM
ejpam-5507	209	17	)	)	PUNCT
ejpam-5507	209	18	−(α+1	−(α+1	NOUN
ejpam-5507	209	19	)	)	PUNCT
ejpam-5507	209	20	−	−	PROPN
ejpam-5507	209	21	(	(	PUNCT
ejpam-5507	209	22	1	1	NUM
ejpam-5507	209	23	+	+	CCONJ
ejpam-5507	209	24	aβ1	aβ1	NOUN
ejpam-5507	209	25	1	1	NUM
ejpam-5507	209	26	+	+	CCONJ
ejpam-5507	209	27	aβ2	aβ2	NOUN
ejpam-5507	209	28	2	2	NUM
ejpam-5507	209	29	)	)	PUNCT
ejpam-5507	209	30	−(α+1	−(α+1	NOUN
ejpam-5507	209	31	)	)	PUNCT
ejpam-5507	209	32	]	]	PUNCT
ejpam-5507	209	33	(	(	PUNCT
ejpam-5507	209	34	26	26	NUM
ejpam-5507	209	35	)	)	PUNCT
ejpam-5507	209	36	the	the	DET
ejpam-5507	209	37	maximum	maximum	ADJ
ejpam-5507	209	38	likelihood	likelihood	NOUN
ejpam-5507	209	39	estimators	estimator	NOUN
ejpam-5507	209	40	of	of	ADP
ejpam-5507	209	41	α	α	NOUN
ejpam-5507	209	42	,	,	PUNCT
ejpam-5507	209	43	a1	a1	NOUN
ejpam-5507	209	44	,	,	PUNCT
ejpam-5507	209	45	a2	a2	PROPN
ejpam-5507	209	46	,	,	PUNCT
ejpam-5507	209	47	β1	β1	PROPN
ejpam-5507	209	48	and	and	CCONJ
ejpam-5507	209	49	β2	β2	NOUN
ejpam-5507	209	50	are	be	AUX
ejpam-5507	209	51	obtained	obtain	VERB
ejpam-5507	209	52	by	by	ADP
ejpam-5507	209	53	equating	equate	VERB
ejpam-5507	209	54	the	the	DET
ejpam-5507	209	55	derivatives	derivative	NOUN
ejpam-5507	209	56	in	in	ADP
ejpam-5507	209	57	(	(	PUNCT
ejpam-5507	209	58	22	22	NUM
ejpam-5507	209	59	)	)	PUNCT
ejpam-5507	209	60	,	,	PUNCT
ejpam-5507	209	61	(	(	PUNCT
ejpam-5507	209	62	23	23	NUM
ejpam-5507	209	63	)	)	PUNCT
ejpam-5507	209	64	,	,	PUNCT
ejpam-5507	209	65	(	(	PUNCT
ejpam-5507	209	66	24	24	NUM
ejpam-5507	209	67	)	)	PUNCT
ejpam-5507	209	68	,	,	PUNCT
ejpam-5507	209	69	(	(	PUNCT
ejpam-5507	209	70	25	25	NUM
ejpam-5507	209	71	)	)	PUNCT
ejpam-5507	209	72	,	,	PUNCT
ejpam-5507	209	73	and	and	CCONJ
ejpam-5507	209	74	(	(	PUNCT
ejpam-5507	209	75	26	26	NUM
ejpam-5507	209	76	)	)	PUNCT
ejpam-5507	209	77	to	to	ADP
ejpam-5507	209	78	zero	zero	NUM
ejpam-5507	209	79	and	and	CCONJ
ejpam-5507	209	80	solving	solve	VERB
ejpam-5507	209	81	the	the	DET
ejpam-5507	209	82	resulting	result	VERB
ejpam-5507	209	83	equations	equation	NOUN
ejpam-5507	209	84	.	.	PUNCT
ejpam-5507	210	1	e.	e.	PROPN
ejpam-5507	210	2	alsulami	alsulami	PROPN
ejpam-5507	210	3	,	,	PUNCT
ejpam-5507	210	4	l.	l.	PROPN
ejpam-5507	210	5	al	al	PROPN
ejpam-5507	210	6	-	-	PUNCT
ejpam-5507	210	7	turk	turk	PROPN
ejpam-5507	210	8	,	,	PUNCT
ejpam-5507	210	9	m.	m.	NOUN
ejpam-5507	210	10	q.	q.	PROPN
ejpam-5507	210	11	shahbaz	shahbaz	PROPN
ejpam-5507	210	12	/	/	SYM
ejpam-5507	210	13	eur	eur	PROPN
ejpam-5507	210	14	.	.	PUNCT
ejpam-5507	211	1	j.	j.	PROPN
ejpam-5507	211	2	pure	pure	PROPN
ejpam-5507	211	3	appl	appl	PROPN
ejpam-5507	211	4	.	.	PROPN
ejpam-5507	211	5	math	math	PROPN
ejpam-5507	211	6	,	,	PUNCT
ejpam-5507	211	7	17	17	NUM
ejpam-5507	211	8	(	(	PUNCT
ejpam-5507	211	9	4	4	NUM
ejpam-5507	211	10	)	)	PUNCT
ejpam-5507	211	11	(	(	PUNCT
ejpam-5507	211	12	2024	2024	NUM
ejpam-5507	211	13	)	)	PUNCT
ejpam-5507	211	14	,	,	PUNCT
ejpam-5507	211	15	3945	3945	NUM
ejpam-5507	211	16	-	-	SYM
ejpam-5507	211	17	3972	3972	NUM
ejpam-5507	211	18	3953	3953	NUM
ejpam-5507	211	19	the	the	DET
ejpam-5507	211	20	solution	solution	NOUN
ejpam-5507	211	21	is	be	AUX
ejpam-5507	211	22	done	do	VERB
ejpam-5507	211	23	by	by	ADP
ejpam-5507	211	24	using	use	VERB
ejpam-5507	211	25	some	some	DET
ejpam-5507	211	26	numerical	numerical	ADJ
ejpam-5507	211	27	method	method	NOUN
ejpam-5507	211	28	.	.	PUNCT
ejpam-5507	212	1	in	in	ADP
ejpam-5507	212	2	the	the	DET
ejpam-5507	212	3	next	next	ADJ
ejpam-5507	212	4	section	section	NOUN
ejpam-5507	212	5	we	we	PRON
ejpam-5507	212	6	will	will	AUX
ejpam-5507	212	7	study	study	VERB
ejpam-5507	212	8	the	the	DET
ejpam-5507	212	9	bivariate	bivariate	ADJ
ejpam-5507	212	10	truncated	truncate	VERB
ejpam-5507	212	11	burr	burr	NOUN
ejpam-5507	212	12	family	family	NOUN
ejpam-5507	212	13	of	of	ADP
ejpam-5507	212	14	distributions	distribution	NOUN
ejpam-5507	212	15	for	for	ADP
ejpam-5507	212	16	baseline	baseline	ADJ
ejpam-5507	212	17	burr	burr	NOUN
ejpam-5507	212	18	distribution	distribution	NOUN
ejpam-5507	212	19	.	.	PUNCT
ejpam-5507	213	1	the	the	DET
ejpam-5507	213	2	resulting	result	VERB
ejpam-5507	213	3	distribution	distribution	NOUN
ejpam-5507	213	4	is	be	AUX
ejpam-5507	213	5	is	be	AUX
ejpam-5507	213	6	called	call	VERB
ejpam-5507	213	7	bivariate	bivariate	ADJ
ejpam-5507	213	8	truncated	truncated	ADJ
ejpam-5507	213	9	burr	burr	NOUN
ejpam-5507	213	10	-	-	PUNCT
ejpam-5507	213	11	burr	burr	NOUN
ejpam-5507	213	12	distribution	distribution	NOUN
ejpam-5507	213	13	.	.	PUNCT
ejpam-5507	214	1	5	5	X
ejpam-5507	214	2	.	.	X
ejpam-5507	214	3	the	the	DET
ejpam-5507	214	4	bivariate	bivariate	ADJ
ejpam-5507	214	5	truncated	truncated	ADJ
ejpam-5507	214	6	burr	burr	NOUN
ejpam-5507	214	7	-	-	PUNCT
ejpam-5507	214	8	burr	burr	NOUN
ejpam-5507	214	9	distribution	distribution	NOUN
ejpam-5507	214	10	a	a	DET
ejpam-5507	214	11	family	family	NOUN
ejpam-5507	214	12	of	of	ADP
ejpam-5507	214	13	twelve	twelve	NUM
ejpam-5507	214	14	cumulative	cumulative	ADJ
ejpam-5507	214	15	distribution	distribution	NOUN
ejpam-5507	214	16	functions	function	NOUN
ejpam-5507	214	17	have	have	AUX
ejpam-5507	214	18	been	be	AUX
ejpam-5507	214	19	proposed	propose	VERB
ejpam-5507	214	20	by	by	ADP
ejpam-5507	214	21	[	[	X
ejpam-5507	214	22	11	11	NUM
ejpam-5507	214	23	]	]	PUNCT
ejpam-5507	214	24	and	and	CCONJ
ejpam-5507	214	25	the	the	DET
ejpam-5507	214	26	burr	burr	NOUN
ejpam-5507	214	27	distribution	distribution	NOUN
ejpam-5507	214	28	is	be	AUX
ejpam-5507	214	29	one	one	NUM
ejpam-5507	214	30	of	of	ADP
ejpam-5507	214	31	these	these	PRON
ejpam-5507	214	32	.	.	PUNCT
ejpam-5507	215	1	several	several	ADJ
ejpam-5507	215	2	distributions	distribution	NOUN
ejpam-5507	215	3	are	be	AUX
ejpam-5507	215	4	related	relate	VERB
ejpam-5507	215	5	with	with	ADP
ejpam-5507	215	6	the	the	DET
ejpam-5507	215	7	burr	burr	NOUN
ejpam-5507	215	8	distribution	distribution	NOUN
ejpam-5507	215	9	;	;	PUNCT
ejpam-5507	215	10	including	include	VERB
ejpam-5507	215	11	the	the	DET
ejpam-5507	215	12	lomax	lomax	PROPN
ejpam-5507	215	13	,	,	PUNCT
ejpam-5507	215	14	the	the	DET
ejpam-5507	215	15	logistic	logistic	NOUN
ejpam-5507	215	16	,	,	PUNCT
ejpam-5507	215	17	the	the	DET
ejpam-5507	215	18	log	log	NOUN
ejpam-5507	215	19	-	-	PUNCT
ejpam-5507	215	20	logistic	logistic	NOUN
ejpam-5507	215	21	,	,	PUNCT
ejpam-5507	215	22	the	the	DET
ejpam-5507	215	23	exponential	exponential	NOUN
ejpam-5507	215	24	,	,	PUNCT
ejpam-5507	215	25	and	and	CCONJ
ejpam-5507	215	26	weibull	weibull	PROPN
ejpam-5507	215	27	distributions	distribution	NOUN
ejpam-5507	215	28	.	.	PUNCT
ejpam-5507	216	1	in	in	ADP
ejpam-5507	216	2	this	this	DET
ejpam-5507	216	3	section	section	NOUN
ejpam-5507	216	4	,	,	PUNCT
ejpam-5507	216	5	we	we	PRON
ejpam-5507	216	6	have	have	AUX
ejpam-5507	216	7	introduced	introduce	VERB
ejpam-5507	216	8	the	the	DET
ejpam-5507	216	9	bivariate	bivariate	ADJ
ejpam-5507	216	10	truncated	truncated	ADJ
ejpam-5507	216	11	burr	burr	NOUN
ejpam-5507	216	12	-	-	PUNCT
ejpam-5507	216	13	burr	burr	NOUN
ejpam-5507	216	14	(	(	PUNCT
ejpam-5507	216	15	btbb	btbb	NOUN
ejpam-5507	216	16	)	)	PUNCT
ejpam-5507	216	17	distribution	distribution	NOUN
ejpam-5507	216	18	,	,	PUNCT
ejpam-5507	216	19	by	by	ADP
ejpam-5507	216	20	using	use	VERB
ejpam-5507	216	21	the	the	DET
ejpam-5507	216	22	burr	burr	NOUN
ejpam-5507	216	23	distribution	distribution	NOUN
ejpam-5507	216	24	as	as	ADP
ejpam-5507	216	25	a	a	DET
ejpam-5507	216	26	baseline	baseline	ADJ
ejpam-5507	216	27	distribution	distribution	NOUN
ejpam-5507	216	28	in	in	ADP
ejpam-5507	216	29	the	the	DET
ejpam-5507	216	30	proposed	propose	VERB
ejpam-5507	216	31	btbf	btbf	NOUN
ejpam-5507	216	32	of	of	ADP
ejpam-5507	216	33	distributions	distribution	NOUN
ejpam-5507	216	34	.	.	PUNCT
ejpam-5507	217	1	we	we	PRON
ejpam-5507	217	2	have	have	AUX
ejpam-5507	217	3	given	give	VERB
ejpam-5507	217	4	some	some	DET
ejpam-5507	217	5	desirable	desirable	ADJ
ejpam-5507	217	6	statistical	statistical	ADJ
ejpam-5507	217	7	properties	property	NOUN
ejpam-5507	217	8	of	of	ADP
ejpam-5507	217	9	this	this	DET
ejpam-5507	217	10	new	new	ADJ
ejpam-5507	217	11	distribution	distribution	NOUN
ejpam-5507	217	12	.	.	PUNCT
ejpam-5507	218	1	the	the	DET
ejpam-5507	218	2	maximum	maximum	ADJ
ejpam-5507	218	3	likelihood	likelihood	NOUN
ejpam-5507	218	4	estimation	estimation	NOUN
ejpam-5507	218	5	for	for	ADP
ejpam-5507	218	6	the	the	DET
ejpam-5507	218	7	parameters	parameter	NOUN
ejpam-5507	218	8	of	of	ADP
ejpam-5507	218	9	the	the	DET
ejpam-5507	218	10	proposed	propose	VERB
ejpam-5507	218	11	btbb	btbb	ADJ
ejpam-5507	218	12	distribution	distribution	NOUN
ejpam-5507	218	13	is	be	AUX
ejpam-5507	218	14	also	also	ADV
ejpam-5507	218	15	discussed	discuss	VERB
ejpam-5507	218	16	.	.	PUNCT
ejpam-5507	219	1	the	the	DET
ejpam-5507	219	2	btbb	btbb	ADJ
ejpam-5507	219	3	distribution	distribution	NOUN
ejpam-5507	219	4	is	be	AUX
ejpam-5507	219	5	proposed	propose	VERB
ejpam-5507	219	6	by	by	ADP
ejpam-5507	219	7	using	use	VERB
ejpam-5507	219	8	the	the	DET
ejpam-5507	219	9	following	follow	VERB
ejpam-5507	219	10	cdf	cdf	PROPN
ejpam-5507	219	11	of	of	ADP
ejpam-5507	219	12	the	the	DET
ejpam-5507	219	13	burr	burr	NOUN
ejpam-5507	219	14	distribution	distribution	NOUN
ejpam-5507	219	15	in	in	ADP
ejpam-5507	219	16	eq	eq	NOUN
ejpam-5507	219	17	.	.	PROPN
ejpam-5507	219	18	11	11	NUM
ejpam-5507	219	19	.	.	PUNCT
ejpam-5507	220	1	f	f	X
ejpam-5507	220	2	(	(	PUNCT
ejpam-5507	220	3	x1	x1	PROPN
ejpam-5507	220	4	)	)	PUNCT
ejpam-5507	220	5	=	=	SYM
ejpam-5507	221	1	1−	1−	NUM
ejpam-5507	221	2	1	1	NUM
ejpam-5507	221	3	(	(	PUNCT
ejpam-5507	221	4	1	1	NUM
ejpam-5507	221	5	+	+	CCONJ
ejpam-5507	221	6	xβ1	xβ1	NOUN
ejpam-5507	221	7	2	2	X
ejpam-5507	221	8	)	)	PUNCT
ejpam-5507	221	9	α	α	PROPN
ejpam-5507	221	10	and	and	CCONJ
ejpam-5507	221	11	f	f	PROPN
ejpam-5507	221	12	(	(	PUNCT
ejpam-5507	221	13	x2	x2	PROPN
ejpam-5507	221	14	)	)	PUNCT
ejpam-5507	221	15	=	=	SYM
ejpam-5507	222	1	1−	1−	NUM
ejpam-5507	222	2	1	1	NUM
ejpam-5507	222	3	(	(	PUNCT
ejpam-5507	222	4	1	1	NUM
ejpam-5507	222	5	+	+	NUM
ejpam-5507	222	6	xβ2	xβ2	NOUN
ejpam-5507	222	7	2	2	X
ejpam-5507	222	8	)	)	PUNCT
ejpam-5507	222	9	α	α	NOUN
ejpam-5507	222	10	.	.	PUNCT
ejpam-5507	223	1	(	(	PUNCT
ejpam-5507	223	2	27	27	NUM
ejpam-5507	223	3	)	)	PUNCT
ejpam-5507	223	4	the	the	DET
ejpam-5507	223	5	cdf	cdf	PROPN
ejpam-5507	223	6	of	of	ADP
ejpam-5507	223	7	the	the	DET
ejpam-5507	223	8	btbb	btbb	PROPN
ejpam-5507	223	9	is	be	AUX
ejpam-5507	223	10	fbtbb(x1	fbtbb(x1	ADJ
ejpam-5507	223	11	,	,	PUNCT
ejpam-5507	223	12	x2	x2	ADJ
ejpam-5507	223	13	)	)	PUNCT
ejpam-5507	223	14	=	=	SYM
ejpam-5507	223	15	1	1	NUM
ejpam-5507	223	16	γ	γ	X
ejpam-5507	223	17	[	[	PUNCT
ejpam-5507	223	18	1−	1−	NUM
ejpam-5507	224	1	[	[	X
ejpam-5507	224	2	1	1	NUM
ejpam-5507	224	3	+	+	CCONJ
ejpam-5507	224	4	(	(	PUNCT
ejpam-5507	224	5	a1(1−	a1(1−	X
ejpam-5507	224	6	(	(	PUNCT
ejpam-5507	224	7	1	1	NUM
ejpam-5507	224	8	+	+	CCONJ
ejpam-5507	224	9	xβ1	xβ1	NOUN
ejpam-5507	224	10	1	1	NUM
ejpam-5507	224	11	)	)	PUNCT
ejpam-5507	224	12	−α))β1	−α))β1	NOUN
ejpam-5507	224	13	]	]	X
ejpam-5507	224	14	−α	−α	NOUN
ejpam-5507	224	15	−	−	PUNCT
ejpam-5507	225	1	[	[	X
ejpam-5507	225	2	1	1	NUM
ejpam-5507	225	3	+	+	CCONJ
ejpam-5507	225	4	(	(	PUNCT
ejpam-5507	225	5	a2(1−	a2(1−	X
ejpam-5507	225	6	(	(	PUNCT
ejpam-5507	225	7	1	1	NUM
ejpam-5507	225	8	+	+	NUM
ejpam-5507	225	9	xβ2	xβ2	NOUN
ejpam-5507	225	10	2	2	NUM
ejpam-5507	225	11	)	)	PUNCT
ejpam-5507	225	12	−α))β2	−α))β2	ADP
ejpam-5507	225	13	]	]	X
ejpam-5507	225	14	−α	−α	NOUN
ejpam-5507	225	15	+	+	CCONJ
ejpam-5507	226	1	[	[	X
ejpam-5507	226	2	∆2(x1	∆2(x1	PROPN
ejpam-5507	226	3	,	,	PUNCT
ejpam-5507	226	4	x2	x2	PROPN
ejpam-5507	226	5	)	)	PUNCT
ejpam-5507	226	6	]	]	PUNCT
ejpam-5507	226	7	−α	−α	NOUN
ejpam-5507	226	8	]	]	PUNCT
ejpam-5507	226	9	,	,	PUNCT
ejpam-5507	226	10	(	(	PUNCT
ejpam-5507	226	11	28	28	NUM
ejpam-5507	226	12	)	)	PUNCT
ejpam-5507	226	13	where	where	SCONJ
ejpam-5507	226	14	∆2(x1	∆2(x1	PROPN
ejpam-5507	226	15	,	,	PUNCT
ejpam-5507	226	16	x2	x2	PROPN
ejpam-5507	226	17	)	)	PUNCT
ejpam-5507	226	18	=	=	PUNCT
ejpam-5507	227	1	[	[	X
ejpam-5507	227	2	1	1	NUM
ejpam-5507	227	3	+	+	CCONJ
ejpam-5507	227	4	(	(	PUNCT
ejpam-5507	227	5	a1(1−	a1(1−	X
ejpam-5507	227	6	(	(	PUNCT
ejpam-5507	227	7	1	1	NUM
ejpam-5507	227	8	+	+	CCONJ
ejpam-5507	227	9	xβ1	xβ1	NOUN
ejpam-5507	227	10	1	1	NUM
ejpam-5507	227	11	)	)	PUNCT
ejpam-5507	227	12	−α))β1	−α))β1	NOUN
ejpam-5507	227	13	+	+	CCONJ
ejpam-5507	227	14	(	(	PUNCT
ejpam-5507	227	15	a2(1−	a2(1−	X
ejpam-5507	227	16	(	(	PUNCT
ejpam-5507	227	17	1	1	NUM
ejpam-5507	227	18	+	+	NUM
ejpam-5507	227	19	xβ2	xβ2	NOUN
ejpam-5507	227	20	2	2	NUM
ejpam-5507	227	21	)	)	PUNCT
ejpam-5507	227	22	−α))β2	−α))β2	ADP
ejpam-5507	227	23	]	]	PUNCT
ejpam-5507	227	24	the	the	DET
ejpam-5507	227	25	pdf	pdf	NOUN
ejpam-5507	227	26	for	for	ADP
ejpam-5507	227	27	the	the	DET
ejpam-5507	227	28	bivariate	bivariate	ADJ
ejpam-5507	227	29	truncated	truncated	ADJ
ejpam-5507	227	30	burr	burr	NOUN
ejpam-5507	227	31	-	-	PUNCT
ejpam-5507	227	32	burr	burr	NOUN
ejpam-5507	227	33	distribution	distribution	NOUN
ejpam-5507	227	34	corresponding	correspond	VERB
ejpam-5507	227	35	to	to	ADP
ejpam-5507	227	36	eq	eq	PROPN
ejpam-5507	227	37	.	.	PROPN
ejpam-5507	227	38	28	28	NUM
ejpam-5507	227	39	is	be	AUX
ejpam-5507	227	40	fbtbb(x1	fbtbb(x1	ADJ
ejpam-5507	227	41	,	,	PUNCT
ejpam-5507	227	42	x2	x2	PROPN
ejpam-5507	227	43	)	)	PUNCT
ejpam-5507	227	44	=	=	PUNCT
ejpam-5507	228	1	α3(α+	α3(α+	PROPN
ejpam-5507	228	2	1)aβ1	1)aβ1	NUM
ejpam-5507	228	3	1	1	NUM
ejpam-5507	228	4	aβ2	aβ2	NOUN
ejpam-5507	228	5	2	2	NUM
ejpam-5507	228	6	β2	β2	NOUN
ejpam-5507	228	7	1β	1β	NUM
ejpam-5507	228	8	2	2	NUM
ejpam-5507	228	9	2x	2x	NOUN
ejpam-5507	228	10	β1−1	β1−1	NUM
ejpam-5507	228	11	1	1	NUM
ejpam-5507	228	12	xβ2−1	xβ2−1	NOUN
ejpam-5507	228	13	2	2	NUM
ejpam-5507	228	14	(	(	PUNCT
ejpam-5507	228	15	1	1	NUM
ejpam-5507	228	16	+	+	CCONJ
ejpam-5507	228	17	xβ1	xβ1	NOUN
ejpam-5507	228	18	1	1	X
ejpam-5507	228	19	)	)	PUNCT
ejpam-5507	228	20	−(α+1)(1	−(α+1)(1	NOUN
ejpam-5507	228	21	+	+	CCONJ
ejpam-5507	228	22	xβ2	xβ2	NOUN
ejpam-5507	228	23	2	2	NUM
ejpam-5507	228	24	)	)	PUNCT
ejpam-5507	228	25	−(α+1	−(α+1	NOUN
ejpam-5507	228	26	)	)	PUNCT
ejpam-5507	228	27	γ	γ	X
ejpam-5507	228	28	×	×	NOUN
ejpam-5507	228	29	[	[	PUNCT
ejpam-5507	228	30	[	[	X
ejpam-5507	228	31	1−	1−	NUM
ejpam-5507	228	32	(	(	PUNCT
ejpam-5507	228	33	1	1	NUM
ejpam-5507	228	34	+	+	CCONJ
ejpam-5507	228	35	xβ1	xβ1	NOUN
ejpam-5507	228	36	1	1	X
ejpam-5507	228	37	)	)	PUNCT
ejpam-5507	228	38	−α]β1−1[1−	−α]β1−1[1−	PROPN
ejpam-5507	228	39	(	(	PUNCT
ejpam-5507	228	40	1	1	NUM
ejpam-5507	228	41	+	+	NUM
ejpam-5507	228	42	xβ2	xβ2	NOUN
ejpam-5507	228	43	2	2	X
ejpam-5507	228	44	)	)	PUNCT
ejpam-5507	228	45	−α]β2−1[∆2(x1	−α]β2−1[∆2(x1	PROPN
ejpam-5507	228	46	,	,	PUNCT
ejpam-5507	228	47	x2	x2	PROPN
ejpam-5507	228	48	)	)	PUNCT
ejpam-5507	228	49	]	]	PUNCT
ejpam-5507	228	50	−(α+2	−(α+2	PROPN
ejpam-5507	228	51	)	)	PUNCT
ejpam-5507	228	52	]	]	PUNCT
ejpam-5507	228	53	,	,	PUNCT
ejpam-5507	228	54	(	(	PUNCT
ejpam-5507	228	55	29	29	NUM
ejpam-5507	228	56	)	)	PUNCT
ejpam-5507	228	57	where	where	SCONJ
ejpam-5507	228	58	γ	γ	PROPN
ejpam-5507	228	59	and	and	CCONJ
ejpam-5507	228	60	∆2(x1	∆2(x1	PROPN
ejpam-5507	228	61	,	,	PUNCT
ejpam-5507	228	62	x2	x2	NUM
ejpam-5507	228	63	)	)	PUNCT
ejpam-5507	228	64	are	be	AUX
ejpam-5507	228	65	defined	define	VERB
ejpam-5507	228	66	earlier	early	ADV
ejpam-5507	228	67	.	.	PUNCT
ejpam-5507	229	1	in	in	ADP
ejpam-5507	229	2	the	the	DET
ejpam-5507	229	3	following	following	ADJ
ejpam-5507	229	4	section	section	NOUN
ejpam-5507	229	5	,	,	PUNCT
ejpam-5507	229	6	we	we	PRON
ejpam-5507	229	7	have	have	AUX
ejpam-5507	229	8	discussed	discuss	VERB
ejpam-5507	229	9	some	some	DET
ejpam-5507	229	10	properties	property	NOUN
ejpam-5507	229	11	of	of	ADP
ejpam-5507	229	12	the	the	DET
ejpam-5507	229	13	btbb	btbb	ADJ
ejpam-5507	229	14	distribution	distribution	NOUN
ejpam-5507	229	15	.	.	PUNCT
ejpam-5507	230	1	6	6	X
ejpam-5507	230	2	.	.	X
ejpam-5507	230	3	properties	property	NOUN
ejpam-5507	230	4	of	of	ADP
ejpam-5507	230	5	the	the	DET
ejpam-5507	230	6	bivariate	bivariate	ADJ
ejpam-5507	230	7	truncated	truncated	ADJ
ejpam-5507	230	8	burr	burr	NOUN
ejpam-5507	230	9	-	-	PUNCT
ejpam-5507	230	10	burr	burr	NOUN
ejpam-5507	230	11	distribution	distribution	NOUN
ejpam-5507	230	12	in	in	ADP
ejpam-5507	230	13	this	this	DET
ejpam-5507	230	14	section	section	NOUN
ejpam-5507	230	15	,	,	PUNCT
ejpam-5507	230	16	some	some	DET
ejpam-5507	230	17	statistical	statistical	ADJ
ejpam-5507	230	18	properties	property	NOUN
ejpam-5507	230	19	of	of	ADP
ejpam-5507	230	20	the	the	DET
ejpam-5507	230	21	btbb	btbb	ADJ
ejpam-5507	230	22	distribution	distribution	NOUN
ejpam-5507	230	23	are	be	AUX
ejpam-5507	230	24	discussed	discuss	VERB
ejpam-5507	230	25	.	.	PUNCT
ejpam-5507	231	1	the	the	PRON
ejpam-5507	231	2	include	include	VERB
ejpam-5507	231	3	marginal	marginal	ADJ
ejpam-5507	231	4	and	and	CCONJ
ejpam-5507	231	5	conditional	conditional	ADJ
ejpam-5507	231	6	distributions	distribution	NOUN
ejpam-5507	231	7	,	,	PUNCT
ejpam-5507	231	8	joint	joint	NOUN
ejpam-5507	231	9	and	and	CCONJ
ejpam-5507	231	10	ratio	ratio	NOUN
ejpam-5507	231	11	moments	moment	NOUN
ejpam-5507	231	12	,	,	PUNCT
ejpam-5507	231	13	marginal	marginal	ADJ
ejpam-5507	231	14	and	and	CCONJ
ejpam-5507	231	15	inverse	inverse	ADJ
ejpam-5507	231	16	moments	moment	NOUN
ejpam-5507	231	17	,	,	PUNCT
ejpam-5507	231	18	conditional	conditional	ADJ
ejpam-5507	231	19	moments	moment	NOUN
ejpam-5507	231	20	,	,	PUNCT
ejpam-5507	231	21	bivariate	bivariate	ADJ
ejpam-5507	231	22	reliability	reliability	NOUN
ejpam-5507	231	23	and	and	CCONJ
ejpam-5507	231	24	hazard	hazard	NOUN
ejpam-5507	231	25	rate	rate	NOUN
ejpam-5507	231	26	function	function	NOUN
ejpam-5507	231	27	and	and	CCONJ
ejpam-5507	231	28	maximum	maximum	ADJ
ejpam-5507	231	29	likleihood	likleihood	NOUN
ejpam-5507	231	30	estimation	estimation	NOUN
ejpam-5507	231	31	of	of	ADP
ejpam-5507	231	32	the	the	DET
ejpam-5507	231	33	parameters	parameter	NOUN
ejpam-5507	231	34	.	.	PUNCT
ejpam-5507	232	1	e.	e.	PROPN
ejpam-5507	232	2	alsulami	alsulami	PROPN
ejpam-5507	232	3	,	,	PUNCT
ejpam-5507	232	4	l.	l.	PROPN
ejpam-5507	232	5	al	al	PROPN
ejpam-5507	232	6	-	-	PUNCT
ejpam-5507	232	7	turk	turk	PROPN
ejpam-5507	232	8	,	,	PUNCT
ejpam-5507	232	9	m.	m.	NOUN
ejpam-5507	232	10	q.	q.	PROPN
ejpam-5507	232	11	shahbaz	shahbaz	PROPN
ejpam-5507	232	12	/	/	SYM
ejpam-5507	232	13	eur	eur	PROPN
ejpam-5507	232	14	.	.	PUNCT
ejpam-5507	233	1	j.	j.	PROPN
ejpam-5507	233	2	pure	pure	PROPN
ejpam-5507	233	3	appl	appl	PROPN
ejpam-5507	233	4	.	.	PROPN
ejpam-5507	233	5	math	math	PROPN
ejpam-5507	233	6	,	,	PUNCT
ejpam-5507	233	7	17	17	NUM
ejpam-5507	233	8	(	(	PUNCT
ejpam-5507	233	9	4	4	NUM
ejpam-5507	233	10	)	)	PUNCT
ejpam-5507	233	11	(	(	PUNCT
ejpam-5507	233	12	2024	2024	NUM
ejpam-5507	233	13	)	)	PUNCT
ejpam-5507	233	14	,	,	PUNCT
ejpam-5507	233	15	3945	3945	NUM
ejpam-5507	233	16	-	-	SYM
ejpam-5507	233	17	3972	3972	NUM
ejpam-5507	233	18	3954	3954	NUM
ejpam-5507	233	19	6.1	6.1	NUM
ejpam-5507	233	20	.	.	PUNCT
ejpam-5507	234	1	the	the	DET
ejpam-5507	234	2	marginal	marginal	ADJ
ejpam-5507	234	3	and	and	CCONJ
ejpam-5507	234	4	conditional	conditional	ADJ
ejpam-5507	234	5	distributions	distribution	NOUN
ejpam-5507	234	6	the	the	DET
ejpam-5507	234	7	marginal	marginal	ADJ
ejpam-5507	234	8	distributions	distribution	NOUN
ejpam-5507	234	9	of	of	ADP
ejpam-5507	234	10	x1	x1	PROPN
ejpam-5507	234	11	and	and	CCONJ
ejpam-5507	234	12	x2	x2	PROPN
ejpam-5507	234	13	are	be	AUX
ejpam-5507	234	14	readily	readily	ADV
ejpam-5507	234	15	written	write	VERB
ejpam-5507	234	16	from	from	ADP
ejpam-5507	234	17	eq	eq	ADP
ejpam-5507	234	18	.	.	PUNCT
ejpam-5507	235	1	(	(	PUNCT
ejpam-5507	235	2	28	28	NUM
ejpam-5507	235	3	)	)	PUNCT
ejpam-5507	235	4	as	as	ADP
ejpam-5507	235	5	ftbb(x1	ftbb(x1	NOUN
ejpam-5507	235	6	)	)	PUNCT
ejpam-5507	235	7	=	=	SYM
ejpam-5507	236	1	1−	1−	NUM
ejpam-5507	237	1	[	[	X
ejpam-5507	237	2	1	1	NUM
ejpam-5507	237	3	+	+	CCONJ
ejpam-5507	237	4	a1(1−	a1(1−	NOUN
ejpam-5507	237	5	(	(	PUNCT
ejpam-5507	237	6	1	1	NUM
ejpam-5507	237	7	+	+	CCONJ
ejpam-5507	237	8	xβ1	xβ1	NOUN
ejpam-5507	237	9	1	1	NUM
ejpam-5507	237	10	)	)	PUNCT
ejpam-5507	237	11	−α))β1	−α))β1	NOUN
ejpam-5507	237	12	]	]	X
ejpam-5507	237	13	−α	−α	NOUN
ejpam-5507	237	14	−	−	PUNCT
ejpam-5507	238	1	[	[	X
ejpam-5507	238	2	1	1	NUM
ejpam-5507	238	3	+	+	NUM
ejpam-5507	238	4	aβ2	aβ2	NOUN
ejpam-5507	238	5	2	2	NUM
ejpam-5507	238	6	]	]	PUNCT
ejpam-5507	238	7	−α	−α	NOUN
ejpam-5507	238	8	+	+	CCONJ
ejpam-5507	239	1	[	[	X
ejpam-5507	239	2	∆1(x1	∆1(x1	NOUN
ejpam-5507	239	3	)	)	PUNCT
ejpam-5507	239	4	]	]	PUNCT
ejpam-5507	239	5	−α	−α	PROPN
ejpam-5507	239	6	γ	γ	X
ejpam-5507	239	7	,	,	PUNCT
ejpam-5507	239	8	(	(	PUNCT
ejpam-5507	239	9	30	30	NUM
ejpam-5507	239	10	)	)	PUNCT
ejpam-5507	239	11	and	and	CCONJ
ejpam-5507	239	12	ftbb(x2	ftbb(x2	NOUN
ejpam-5507	239	13	)	)	PUNCT
ejpam-5507	239	14	=	=	SYM
ejpam-5507	240	1	1−	1−	NUM
ejpam-5507	241	1	[	[	X
ejpam-5507	241	2	1	1	NUM
ejpam-5507	241	3	+	+	NUM
ejpam-5507	241	4	a2(1−	a2(1−	NOUN
ejpam-5507	241	5	(	(	PUNCT
ejpam-5507	241	6	1	1	NUM
ejpam-5507	241	7	+	+	NUM
ejpam-5507	241	8	xβ2	xβ2	NOUN
ejpam-5507	241	9	2	2	NUM
ejpam-5507	241	10	)	)	PUNCT
ejpam-5507	241	11	−α))β2	−α))β2	ADP
ejpam-5507	241	12	]	]	X
ejpam-5507	241	13	−α	−α	NOUN
ejpam-5507	242	1	−	−	NOUN
ejpam-5507	243	1	[	[	X
ejpam-5507	243	2	1	1	NUM
ejpam-5507	243	3	+	+	CCONJ
ejpam-5507	243	4	aβ1	aβ1	NOUN
ejpam-5507	243	5	1	1	NUM
ejpam-5507	243	6	]	]	PUNCT
ejpam-5507	243	7	−α	−α	NOUN
ejpam-5507	243	8	+	+	CCONJ
ejpam-5507	244	1	[	[	X
ejpam-5507	244	2	∆1(x2	∆1(x2	NOUN
ejpam-5507	244	3	)	)	PUNCT
ejpam-5507	244	4	]	]	PUNCT
ejpam-5507	244	5	−α	−α	PROPN
ejpam-5507	244	6	γ	γ	X
ejpam-5507	244	7	,	,	PUNCT
ejpam-5507	244	8	(	(	PUNCT
ejpam-5507	244	9	31	31	NUM
ejpam-5507	244	10	)	)	PUNCT
ejpam-5507	244	11	where	where	SCONJ
ejpam-5507	244	12	∆1(x1	∆1(x1	NOUN
ejpam-5507	244	13	)	)	PUNCT
ejpam-5507	244	14	=	=	SYM
ejpam-5507	244	15	1+(a1(1−(1+xβ1	1+(a1(1−(1+xβ1	NUM
ejpam-5507	244	16	1	1	NUM
ejpam-5507	244	17	)	)	PUNCT
ejpam-5507	244	18	−α))β1+aβ2	−α))β1+aβ2	ADV
ejpam-5507	244	19	2	2	NUM
ejpam-5507	244	20	and	and	CCONJ
ejpam-5507	244	21	∆1(x2	∆1(x2	NOUN
ejpam-5507	244	22	)	)	PUNCT
ejpam-5507	244	23	=	=	SYM
ejpam-5507	245	1	1+(a2(1−(1+xβ2	1+(a2(1−(1+xβ2	NUM
ejpam-5507	245	2	2	2	NUM
ejpam-5507	245	3	)	)	PUNCT
ejpam-5507	245	4	−α))β2	−α))β2	ADP
ejpam-5507	245	5	+	+	SYM
ejpam-5507	245	6	aβ1	aβ1	NOUN
ejpam-5507	245	7	1	1	NUM
ejpam-5507	245	8	the	the	DET
ejpam-5507	245	9	marginal	marginal	ADJ
ejpam-5507	245	10	density	density	NOUN
ejpam-5507	245	11	function	function	NOUN
ejpam-5507	245	12	for	for	ADP
ejpam-5507	245	13	x1	x1	PROPN
ejpam-5507	245	14	and	and	CCONJ
ejpam-5507	245	15	x2	x2	PROPN
ejpam-5507	245	16	are	be	AUX
ejpam-5507	245	17	determined	determine	VERB
ejpam-5507	245	18	from	from	ADP
ejpam-5507	245	19	eq	eq	PROPN
ejpam-5507	245	20	.	.	PUNCT
ejpam-5507	246	1	(	(	PUNCT
ejpam-5507	246	2	29	29	NUM
ejpam-5507	246	3	)	)	PUNCT
ejpam-5507	246	4	as	as	ADP
ejpam-5507	246	5	ftbb(x1	ftbb(x1	NOUN
ejpam-5507	246	6	)	)	PUNCT
ejpam-5507	246	7	=	=	PUNCT
ejpam-5507	247	1	α2β2	α2β2	PROPN
ejpam-5507	247	2	1a	1a	X
ejpam-5507	247	3	β1	β1	PROPN
ejpam-5507	247	4	1	1	NUM
ejpam-5507	247	5	xβ1−1	xβ1−1	ADJ
ejpam-5507	247	6	1	1	NUM
ejpam-5507	247	7	(	(	PUNCT
ejpam-5507	247	8	1	1	NUM
ejpam-5507	247	9	+	+	CCONJ
ejpam-5507	247	10	xβ1	xβ1	NOUN
ejpam-5507	247	11	1	1	NUM
ejpam-5507	247	12	)	)	PUNCT
ejpam-5507	247	13	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	247	14	(	(	PUNCT
ejpam-5507	247	15	1	1	NUM
ejpam-5507	248	1	+	+	CCONJ
ejpam-5507	248	2	xβ1	xβ1	NOUN
ejpam-5507	248	3	1	1	NUM
ejpam-5507	248	4	)	)	PUNCT
ejpam-5507	248	5	−α]β1−1	−α]β1−1	NOUN
ejpam-5507	248	6	γ	γ	X
ejpam-5507	248	7	×	×	NOUN
ejpam-5507	248	8	[	[	PUNCT
ejpam-5507	248	9	[	[	X
ejpam-5507	248	10	1	1	NUM
ejpam-5507	248	11	+	+	CCONJ
ejpam-5507	248	12	(	(	PUNCT
ejpam-5507	248	13	a1(1−	a1(1−	X
ejpam-5507	248	14	(	(	PUNCT
ejpam-5507	248	15	1	1	NUM
ejpam-5507	248	16	+	+	CCONJ
ejpam-5507	248	17	xβ1	xβ1	NOUN
ejpam-5507	248	18	1	1	NUM
ejpam-5507	248	19	)	)	PUNCT
ejpam-5507	248	20	−α))β1	−α))β1	NOUN
ejpam-5507	248	21	]	]	PUNCT
ejpam-5507	248	22	−(α+1	−(α+1	NOUN
ejpam-5507	248	23	)	)	PUNCT
ejpam-5507	248	24	−	−	PROPN
ejpam-5507	249	1	[	[	X
ejpam-5507	249	2	∆1(x1	∆1(x1	NOUN
ejpam-5507	249	3	)	)	PUNCT
ejpam-5507	249	4	]	]	PUNCT
ejpam-5507	249	5	−(α+1	−(α+1	NOUN
ejpam-5507	249	6	)	)	PUNCT
ejpam-5507	249	7	]	]	PUNCT
ejpam-5507	249	8	(	(	PUNCT
ejpam-5507	249	9	32	32	NUM
ejpam-5507	249	10	)	)	PUNCT
ejpam-5507	249	11	and	and	CCONJ
ejpam-5507	249	12	ftbb(x2	ftbb(x2	NOUN
ejpam-5507	249	13	)	)	PUNCT
ejpam-5507	249	14	=	=	PUNCT
ejpam-5507	250	1	α2β2	α2β2	SYM
ejpam-5507	250	2	2a	2a	NUM
ejpam-5507	250	3	β2	β2	VERB
ejpam-5507	250	4	2	2	NUM
ejpam-5507	250	5	xβ2−1	xβ2−1	NOUN
ejpam-5507	250	6	2	2	NUM
ejpam-5507	250	7	(	(	PUNCT
ejpam-5507	250	8	1	1	NUM
ejpam-5507	250	9	+	+	NUM
ejpam-5507	250	10	xβ2	xβ2	NOUN
ejpam-5507	250	11	2	2	X
ejpam-5507	250	12	)	)	PUNCT
ejpam-5507	250	13	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	250	14	(	(	PUNCT
ejpam-5507	250	15	1	1	NUM
ejpam-5507	250	16	+	+	NUM
ejpam-5507	250	17	xβ2	xβ2	NOUN
ejpam-5507	250	18	2	2	X
ejpam-5507	250	19	)	)	PUNCT
ejpam-5507	250	20	−α]β2−1	−α]β2−1	NOUN
ejpam-5507	250	21	γ	γ	X
ejpam-5507	250	22	×	×	NOUN
ejpam-5507	250	23	[	[	PUNCT
ejpam-5507	250	24	[	[	X
ejpam-5507	250	25	1	1	NUM
ejpam-5507	250	26	+	+	CCONJ
ejpam-5507	250	27	(	(	PUNCT
ejpam-5507	250	28	a2(1−	a2(1−	X
ejpam-5507	250	29	(	(	PUNCT
ejpam-5507	250	30	1	1	NUM
ejpam-5507	250	31	+	+	NUM
ejpam-5507	250	32	xβ2	xβ2	NOUN
ejpam-5507	250	33	2	2	NUM
ejpam-5507	250	34	)	)	PUNCT
ejpam-5507	250	35	−α))β2	−α))β2	ADP
ejpam-5507	250	36	]	]	PUNCT
ejpam-5507	250	37	−(α+1	−(α+1	NOUN
ejpam-5507	250	38	)	)	PUNCT
ejpam-5507	250	39	−	−	PROPN
ejpam-5507	251	1	[	[	X
ejpam-5507	251	2	∆1(x2	∆1(x2	NOUN
ejpam-5507	251	3	)	)	PUNCT
ejpam-5507	251	4	]	]	PUNCT
ejpam-5507	251	5	−(α+1	−(α+1	NOUN
ejpam-5507	251	6	)	)	PUNCT
ejpam-5507	251	7	]	]	PUNCT
ejpam-5507	251	8	(	(	PUNCT
ejpam-5507	251	9	33	33	NUM
ejpam-5507	251	10	)	)	PUNCT
ejpam-5507	251	11	using	use	VERB
ejpam-5507	251	12	the	the	DET
ejpam-5507	251	13	density	density	NOUN
ejpam-5507	251	14	and	and	CCONJ
ejpam-5507	251	15	distribution	distribution	NOUN
ejpam-5507	251	16	functions	function	NOUN
ejpam-5507	251	17	of	of	ADP
ejpam-5507	251	18	the	the	DET
ejpam-5507	251	19	burr	burr	NOUN
ejpam-5507	251	20	distribution	distribution	NOUN
ejpam-5507	251	21	in	in	ADP
ejpam-5507	251	22	eq.17	eq.17	PROPN
ejpam-5507	251	23	,	,	PUNCT
ejpam-5507	251	24	the	the	DET
ejpam-5507	251	25	conditional	conditional	ADJ
ejpam-5507	251	26	distribution	distribution	NOUN
ejpam-5507	251	27	of	of	ADP
ejpam-5507	251	28	x1	x1	PROPN
ejpam-5507	251	29	given	give	VERB
ejpam-5507	251	30	x2	x2	PROPN
ejpam-5507	251	31	=	=	PUNCT
ejpam-5507	251	32	x2	x2	PROPN
ejpam-5507	251	33	for	for	ADP
ejpam-5507	251	34	the	the	DET
ejpam-5507	251	35	btbb	btbb	ADJ
ejpam-5507	251	36	distribution	distribution	NOUN
ejpam-5507	251	37	is	be	AUX
ejpam-5507	251	38	fbtbb(x1|x2	fbtbb(x1|x2	NOUN
ejpam-5507	251	39	)	)	PUNCT
ejpam-5507	252	1	=	=	PUNCT
ejpam-5507	253	1	α(α+	α(α+	NUM
ejpam-5507	253	2	1)aβ1	1)aβ1	NUM
ejpam-5507	253	3	1	1	NUM
ejpam-5507	253	4	β2	β2	NOUN
ejpam-5507	253	5	1x	1x	NOUN
ejpam-5507	253	6	β1−1	β1−1	NUM
ejpam-5507	253	7	1	1	NUM
ejpam-5507	253	8	(	(	PUNCT
ejpam-5507	253	9	1	1	NUM
ejpam-5507	253	10	+	+	CCONJ
ejpam-5507	253	11	xβ1	xβ1	NOUN
ejpam-5507	253	12	1	1	NUM
ejpam-5507	253	13	)	)	PUNCT
ejpam-5507	253	14	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	253	15	(	(	PUNCT
ejpam-5507	253	16	1	1	NUM
ejpam-5507	253	17	+	+	CCONJ
ejpam-5507	253	18	xβ1	xβ1	NOUN
ejpam-5507	253	19	1	1	NUM
ejpam-5507	253	20	)	)	PUNCT
ejpam-5507	253	21	−α]β1−1∆2(x1	−α]β1−1∆2(x1	ADJ
ejpam-5507	253	22	,	,	PUNCT
ejpam-5507	253	23	x2	x2	PROPN
ejpam-5507	253	24	)	)	PUNCT
ejpam-5507	253	25	−(α+2	−(α+2	VERB
ejpam-5507	253	26	)	)	PUNCT
ejpam-5507	254	1	[	[	X
ejpam-5507	254	2	1	1	NUM
ejpam-5507	254	3	+	+	CCONJ
ejpam-5507	254	4	(	(	PUNCT
ejpam-5507	254	5	a2(1−	a2(1−	X
ejpam-5507	254	6	(	(	PUNCT
ejpam-5507	254	7	1	1	NUM
ejpam-5507	254	8	+	+	NUM
ejpam-5507	254	9	xβ2	xβ2	NOUN
ejpam-5507	254	10	2	2	NUM
ejpam-5507	254	11	)	)	PUNCT
ejpam-5507	254	12	−α))β2	−α))β2	ADP
ejpam-5507	254	13	]	]	PUNCT
ejpam-5507	254	14	−(α+1	−(α+1	NOUN
ejpam-5507	254	15	)	)	PUNCT
ejpam-5507	254	16	−	−	PROPN
ejpam-5507	255	1	[	[	X
ejpam-5507	255	2	∆1(x2)]−(α+1	∆1(x2)]−(α+1	PROPN
ejpam-5507	255	3	)	)	PUNCT
ejpam-5507	255	4	.	.	PUNCT
ejpam-5507	256	1	(	(	PUNCT
ejpam-5507	256	2	34	34	NUM
ejpam-5507	256	3	)	)	PUNCT
ejpam-5507	256	4	again	again	ADV
ejpam-5507	256	5	using	use	VERB
ejpam-5507	256	6	the	the	DET
ejpam-5507	256	7	density	density	NOUN
ejpam-5507	256	8	and	and	CCONJ
ejpam-5507	256	9	distribution	distribution	NOUN
ejpam-5507	256	10	functions	function	NOUN
ejpam-5507	256	11	of	of	ADP
ejpam-5507	256	12	burr	burr	NOUN
ejpam-5507	256	13	distribution	distribution	NOUN
ejpam-5507	256	14	in	in	ADP
ejpam-5507	256	15	eq.18	eq.18	PROPN
ejpam-5507	256	16	,	,	PUNCT
ejpam-5507	256	17	the	the	DET
ejpam-5507	256	18	conditional	conditional	ADJ
ejpam-5507	256	19	distribution	distribution	NOUN
ejpam-5507	256	20	of	of	ADP
ejpam-5507	256	21	x2	x2	PROPN
ejpam-5507	256	22	given	give	VERB
ejpam-5507	256	23	x1	x1	PROPN
ejpam-5507	257	1	=	=	PUNCT
ejpam-5507	257	2	x1	x1	PROPN
ejpam-5507	257	3	is	be	AUX
ejpam-5507	257	4	fbtbb(x2|x1	fbtbb(x2|x1	ADJ
ejpam-5507	257	5	)	)	PUNCT
ejpam-5507	258	1	=	=	PUNCT
ejpam-5507	259	1	α(α+	α(α+	NUM
ejpam-5507	259	2	1)aβ2	1)aβ2	NUM
ejpam-5507	259	3	2	2	NUM
ejpam-5507	259	4	β2	β2	NOUN
ejpam-5507	259	5	2x	2x	NUM
ejpam-5507	259	6	β2−1	β2−1	ADP
ejpam-5507	259	7	2	2	NUM
ejpam-5507	259	8	(	(	PUNCT
ejpam-5507	259	9	1	1	NUM
ejpam-5507	259	10	+	+	NUM
ejpam-5507	259	11	xβ2	xβ2	NOUN
ejpam-5507	259	12	2	2	X
ejpam-5507	259	13	)	)	PUNCT
ejpam-5507	259	14	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	259	15	(	(	PUNCT
ejpam-5507	259	16	1	1	NUM
ejpam-5507	259	17	+	+	NUM
ejpam-5507	259	18	xβ2	xβ2	NOUN
ejpam-5507	259	19	2	2	X
ejpam-5507	259	20	)	)	PUNCT
ejpam-5507	259	21	−α]β2−1∆2(x1	−α]β2−1∆2(x1	PROPN
ejpam-5507	259	22	,	,	PUNCT
ejpam-5507	259	23	x2	x2	PROPN
ejpam-5507	259	24	)	)	PUNCT
ejpam-5507	259	25	−(α+2	−(α+2	VERB
ejpam-5507	259	26	)	)	PUNCT
ejpam-5507	260	1	[	[	X
ejpam-5507	260	2	1	1	NUM
ejpam-5507	260	3	+	+	CCONJ
ejpam-5507	260	4	(	(	PUNCT
ejpam-5507	260	5	a1(1−	a1(1−	X
ejpam-5507	260	6	(	(	PUNCT
ejpam-5507	260	7	1	1	NUM
ejpam-5507	260	8	+	+	CCONJ
ejpam-5507	260	9	xβ1	xβ1	NOUN
ejpam-5507	260	10	1	1	NUM
ejpam-5507	260	11	)	)	PUNCT
ejpam-5507	260	12	−α))β1	−α))β1	NOUN
ejpam-5507	260	13	]	]	PUNCT
ejpam-5507	260	14	−(α+1	−(α+1	NOUN
ejpam-5507	260	15	)	)	PUNCT
ejpam-5507	260	16	−	−	PROPN
ejpam-5507	261	1	[	[	X
ejpam-5507	261	2	∆1(x1)]−(α+1	∆1(x1)]−(α+1	NOUN
ejpam-5507	261	3	)	)	PUNCT
ejpam-5507	261	4	(	(	PUNCT
ejpam-5507	261	5	35	35	NUM
ejpam-5507	261	6	)	)	PUNCT
ejpam-5507	261	7	where	where	SCONJ
ejpam-5507	261	8	∆2(x1	∆2(x1	PROPN
ejpam-5507	261	9	,	,	PUNCT
ejpam-5507	261	10	x2	x2	PROPN
ejpam-5507	261	11	)	)	PUNCT
ejpam-5507	261	12	is	be	AUX
ejpam-5507	261	13	earlier	early	ADV
ejpam-5507	261	14	defined	define	VERB
ejpam-5507	261	15	.	.	PUNCT
ejpam-5507	262	1	e.	e.	PROPN
ejpam-5507	262	2	alsulami	alsulami	PROPN
ejpam-5507	262	3	,	,	PUNCT
ejpam-5507	262	4	l.	l.	PROPN
ejpam-5507	262	5	al	al	PROPN
ejpam-5507	262	6	-	-	PUNCT
ejpam-5507	262	7	turk	turk	PROPN
ejpam-5507	262	8	,	,	PUNCT
ejpam-5507	262	9	m.	m.	NOUN
ejpam-5507	262	10	q.	q.	PROPN
ejpam-5507	262	11	shahbaz	shahbaz	PROPN
ejpam-5507	262	12	/	/	SYM
ejpam-5507	262	13	eur	eur	PROPN
ejpam-5507	262	14	.	.	PUNCT
ejpam-5507	263	1	j.	j.	PROPN
ejpam-5507	263	2	pure	pure	PROPN
ejpam-5507	263	3	appl	appl	PROPN
ejpam-5507	263	4	.	.	PROPN
ejpam-5507	263	5	math	math	PROPN
ejpam-5507	263	6	,	,	PUNCT
ejpam-5507	263	7	17	17	NUM
ejpam-5507	263	8	(	(	PUNCT
ejpam-5507	263	9	4	4	NUM
ejpam-5507	263	10	)	)	PUNCT
ejpam-5507	263	11	(	(	PUNCT
ejpam-5507	263	12	2024	2024	NUM
ejpam-5507	263	13	)	)	PUNCT
ejpam-5507	263	14	,	,	PUNCT
ejpam-5507	263	15	3945	3945	NUM
ejpam-5507	263	16	-	-	SYM
ejpam-5507	263	17	3972	3972	NUM
ejpam-5507	263	18	3955	3955	NUM
ejpam-5507	263	19	6.2	6.2	NUM
ejpam-5507	263	20	.	.	PUNCT
ejpam-5507	264	1	the	the	DET
ejpam-5507	264	2	joint	joint	ADJ
ejpam-5507	264	3	and	and	CCONJ
ejpam-5507	264	4	ratio	ratio	NOUN
ejpam-5507	264	5	moments	moment	NOUN
ejpam-5507	264	6	the	the	DET
ejpam-5507	264	7	(	(	PUNCT
ejpam-5507	264	8	r	r	NOUN
ejpam-5507	264	9	,	,	PUNCT
ejpam-5507	264	10	s)th	s)th	PROPN
ejpam-5507	264	11	joint	joint	ADJ
ejpam-5507	264	12	moment	moment	NOUN
ejpam-5507	264	13	of	of	ADP
ejpam-5507	264	14	x1	x1	PROPN
ejpam-5507	264	15	and	and	CCONJ
ejpam-5507	264	16	x2	x2	PROPN
ejpam-5507	264	17	for	for	ADP
ejpam-5507	264	18	the	the	DET
ejpam-5507	264	19	btbb	btbb	ADJ
ejpam-5507	264	20	distribution	distribution	NOUN
ejpam-5507	264	21	is	be	AUX
ejpam-5507	264	22	obtained	obtain	VERB
ejpam-5507	264	23	as	as	ADP
ejpam-5507	264	24	e(xr	e(xr	PROPN
ejpam-5507	264	25	1	1	NUM
ejpam-5507	264	26	xs	xs	NOUN
ejpam-5507	264	27	2	2	NUM
ejpam-5507	264	28	)	)	PUNCT
ejpam-5507	264	29	=	=	SYM
ejpam-5507	265	1	∫	∫	PROPN
ejpam-5507	265	2	∞	∞	NUM
ejpam-5507	265	3	0	0	NUM
ejpam-5507	265	4	∫	∫	PROPN
ejpam-5507	265	5	∞	∞	PROPN
ejpam-5507	265	6	0	0	NUM
ejpam-5507	265	7	xr1	xr1	PROPN
ejpam-5507	265	8	x	x	SYM
ejpam-5507	265	9	s	s	PROPN
ejpam-5507	265	10	2	2	NUM
ejpam-5507	265	11	f(x1	f(x1	NOUN
ejpam-5507	265	12	,	,	PUNCT
ejpam-5507	265	13	x2)dx1dx2	x2)dx1dx2	PROPN
ejpam-5507	265	14	using	use	VERB
ejpam-5507	265	15	the	the	DET
ejpam-5507	265	16	joint	joint	ADJ
ejpam-5507	265	17	density	density	NOUN
ejpam-5507	265	18	function	function	NOUN
ejpam-5507	265	19	ofbtbb	ofbtbb	NOUN
ejpam-5507	265	20	distribution	distribution	NOUN
ejpam-5507	265	21	,	,	PUNCT
ejpam-5507	265	22	the	the	DET
ejpam-5507	265	23	joint	joint	ADJ
ejpam-5507	265	24	moment	moment	NOUN
ejpam-5507	265	25	is	be	AUX
ejpam-5507	265	26	e(xr	e(xr	PROPN
ejpam-5507	265	27	1	1	NUM
ejpam-5507	265	28	xs	xs	PROPN
ejpam-5507	265	29	2	2	NUM
ejpam-5507	265	30	)	)	PUNCT
ejpam-5507	265	31	=	=	SYM
ejpam-5507	266	1	∫	∫	PROPN
ejpam-5507	266	2	∞	∞	NUM
ejpam-5507	266	3	0	0	NUM
ejpam-5507	267	1	∫	∫	PROPN
ejpam-5507	268	1	∞	∞	NOUN
ejpam-5507	268	2	0	0	NUM
ejpam-5507	269	1	α3(α+	α3(α+	PROPN
ejpam-5507	269	2	1)aβ1	1)aβ1	NUM
ejpam-5507	269	3	1	1	NUM
ejpam-5507	269	4	aβ2	aβ2	NOUN
ejpam-5507	269	5	2	2	NUM
ejpam-5507	269	6	β2	β2	NOUN
ejpam-5507	269	7	1β	1β	NUM
ejpam-5507	269	8	2	2	NUM
ejpam-5507	269	9	2x	2x	NUM
ejpam-5507	269	10	r+β1−1	r+β1−1	PROPN
ejpam-5507	269	11	1	1	NUM
ejpam-5507	269	12	xs+β2−1	xs+β2−1	ADP
ejpam-5507	269	13	2	2	NUM
ejpam-5507	269	14	(	(	PUNCT
ejpam-5507	269	15	1	1	NUM
ejpam-5507	269	16	+	+	CCONJ
ejpam-5507	269	17	xβ1	xβ1	NOUN
ejpam-5507	269	18	1	1	X
ejpam-5507	269	19	)	)	PUNCT
ejpam-5507	269	20	−(α+1)(1	−(α+1)(1	NOUN
ejpam-5507	269	21	+	+	CCONJ
ejpam-5507	269	22	xβ2	xβ2	NOUN
ejpam-5507	269	23	2	2	NUM
ejpam-5507	269	24	)	)	PUNCT
ejpam-5507	269	25	−(α+1	−(α+1	NOUN
ejpam-5507	269	26	)	)	PUNCT
ejpam-5507	269	27	γ	γ	X
ejpam-5507	269	28	×	×	NOUN
ejpam-5507	269	29	[	[	PUNCT
ejpam-5507	269	30	[	[	X
ejpam-5507	269	31	1−	1−	NUM
ejpam-5507	269	32	(	(	PUNCT
ejpam-5507	269	33	1	1	NUM
ejpam-5507	269	34	+	+	CCONJ
ejpam-5507	269	35	xβ1	xβ1	NOUN
ejpam-5507	269	36	1	1	X
ejpam-5507	269	37	)	)	PUNCT
ejpam-5507	269	38	−α]β1−1[1−	−α]β1−1[1−	PROPN
ejpam-5507	269	39	(	(	PUNCT
ejpam-5507	269	40	1	1	NUM
ejpam-5507	269	41	+	+	NUM
ejpam-5507	269	42	xβ2	xβ2	NOUN
ejpam-5507	269	43	2	2	X
ejpam-5507	269	44	)	)	PUNCT
ejpam-5507	269	45	−α]β2−1[∆2(x1	−α]β2−1[∆2(x1	PROPN
ejpam-5507	269	46	,	,	PUNCT
ejpam-5507	269	47	x2	x2	PROPN
ejpam-5507	269	48	)	)	PUNCT
ejpam-5507	269	49	]	]	PUNCT
ejpam-5507	270	1	−(α+2	−(α+2	PROPN
ejpam-5507	270	2	)	)	PUNCT
ejpam-5507	270	3	]	]	PUNCT
ejpam-5507	271	1	dx1dx2	dx1dx2	PROPN
ejpam-5507	271	2	let	let	VERB
ejpam-5507	271	3	u	u	PRON
ejpam-5507	271	4	=	=	PROPN
ejpam-5507	271	5	1−	1−	NUM
ejpam-5507	271	6	(	(	PUNCT
ejpam-5507	271	7	1	1	NUM
ejpam-5507	271	8	+	+	CCONJ
ejpam-5507	271	9	xβ1	xβ1	NOUN
ejpam-5507	271	10	1	1	X
ejpam-5507	271	11	)	)	PUNCT
ejpam-5507	271	12	−α	−α	NOUN
ejpam-5507	271	13	and	and	CCONJ
ejpam-5507	271	14	v	v	NOUN
ejpam-5507	271	15	=	=	SYM
ejpam-5507	271	16	1−	1−	NUM
ejpam-5507	271	17	(	(	PUNCT
ejpam-5507	271	18	1	1	NUM
ejpam-5507	271	19	+	+	NUM
ejpam-5507	271	20	xβ2	xβ2	NOUN
ejpam-5507	271	21	2	2	X
ejpam-5507	271	22	)	)	PUNCT
ejpam-5507	271	23	−α	−α	NOUN
ejpam-5507	271	24	,	,	PUNCT
ejpam-5507	271	25	then	then	ADV
ejpam-5507	271	26	e(xr	e(xr	VERB
ejpam-5507	271	27	1	1	NUM
ejpam-5507	271	28	xs	xs	PROPN
ejpam-5507	271	29	2	2	NUM
ejpam-5507	271	30	)	)	PUNCT
ejpam-5507	271	31	=	=	PUNCT
ejpam-5507	272	1	α(α+	α(α+	NUM
ejpam-5507	272	2	1)aβ1	1)aβ1	NUM
ejpam-5507	272	3	1	1	NUM
ejpam-5507	272	4	aβ2	aβ2	NOUN
ejpam-5507	272	5	2	2	NUM
ejpam-5507	272	6	β1β2	β1β2	SYM
ejpam-5507	272	7	γ	γ	X
ejpam-5507	272	8	∫	∫	PROPN
ejpam-5507	272	9	1	1	NUM
ejpam-5507	272	10	0	0	NUM
ejpam-5507	272	11	∫	∫	PROPN
ejpam-5507	272	12	1	1	NUM
ejpam-5507	272	13	0	0	NUM
ejpam-5507	272	14	uβ1−1	uβ1−1	ADJ
ejpam-5507	272	15	vβ2−1	vβ2−1	NOUN
ejpam-5507	272	16	[	[	PUNCT
ejpam-5507	272	17	(	(	PUNCT
ejpam-5507	272	18	1−	1−	NUM
ejpam-5507	272	19	u	u	NOUN
ejpam-5507	272	20	)	)	PUNCT
ejpam-5507	272	21	−	−	PROPN
ejpam-5507	272	22	(	(	PUNCT
ejpam-5507	272	23	1	1	NUM
ejpam-5507	272	24	αβ1	αβ1	NOUN
ejpam-5507	272	25	)	)	PUNCT
ejpam-5507	272	26	−	−	PROPN
ejpam-5507	273	1	1	1	NUM
ejpam-5507	273	2	]	]	SYM
ejpam-5507	273	3	r	r	NOUN
ejpam-5507	273	4	[	[	PUNCT
ejpam-5507	273	5	(	(	PUNCT
ejpam-5507	273	6	1−	1−	NUM
ejpam-5507	273	7	v	v	NOUN
ejpam-5507	273	8	)	)	PUNCT
ejpam-5507	273	9	−	−	PROPN
ejpam-5507	273	10	(	(	PUNCT
ejpam-5507	273	11	1	1	NUM
ejpam-5507	273	12	αβ2	αβ2	NOUN
ejpam-5507	273	13	)	)	PUNCT
ejpam-5507	274	1	−	−	PROPN
ejpam-5507	274	2	1	1	NUM
ejpam-5507	275	1	]	]	SYM
ejpam-5507	275	2	s	s	X
ejpam-5507	275	3	[	[	PUNCT
ejpam-5507	275	4	1	1	NUM
ejpam-5507	275	5	+	+	CCONJ
ejpam-5507	275	6	(	(	PUNCT
ejpam-5507	275	7	a1	a1	PROPN
ejpam-5507	275	8	u	u	NOUN
ejpam-5507	275	9	)	)	PUNCT
ejpam-5507	275	10	β1	β1	NOUN
ejpam-5507	275	11	+	+	CCONJ
ejpam-5507	275	12	(	(	PUNCT
ejpam-5507	275	13	a2	a2	PROPN
ejpam-5507	275	14	v	v	NOUN
ejpam-5507	275	15	)	)	PUNCT
ejpam-5507	275	16	β2	β2	NOUN
ejpam-5507	275	17	]	]	PUNCT
ejpam-5507	275	18	−(α+2	−(α+2	X
ejpam-5507	275	19	)	)	PUNCT
ejpam-5507	276	1	dudv	dudv	NOUN
ejpam-5507	276	2	simplifying	simplify	VERB
ejpam-5507	276	3	above	above	ADV
ejpam-5507	276	4	,	,	PUNCT
ejpam-5507	276	5	the	the	DET
ejpam-5507	276	6	joint	joint	ADJ
ejpam-5507	276	7	moments	moment	NOUN
ejpam-5507	276	8	for	for	ADP
ejpam-5507	276	9	the	the	DET
ejpam-5507	276	10	btbb	btbb	ADJ
ejpam-5507	276	11	distribution	distribution	NOUN
ejpam-5507	276	12	is	be	AUX
ejpam-5507	276	13	e(xr	e(xr	PROPN
ejpam-5507	276	14	1x	1x	NUM
ejpam-5507	276	15	s	s	PART
ejpam-5507	276	16	2	2	NUM
ejpam-5507	276	17	)	)	PUNCT
ejpam-5507	276	18	=	=	PUNCT
ejpam-5507	277	1	α(α+	α(α+	NUM
ejpam-5507	277	2	1)aβ1	1)aβ1	NUM
ejpam-5507	277	3	1	1	NUM
ejpam-5507	277	4	aβ2	aβ2	NOUN
ejpam-5507	277	5	2	2	NUM
ejpam-5507	277	6	β1β2	β1β2	ADP
ejpam-5507	277	7	γ	γ	X
ejpam-5507	277	8	∞∑	∞∑	PROPN
ejpam-5507	277	9	n=0	n=0	PROPN
ejpam-5507	277	10	(	(	PUNCT
ejpam-5507	277	11	−(α+	−(α+	NUM
ejpam-5507	277	12	2	2	NUM
ejpam-5507	277	13	)	)	PUNCT
ejpam-5507	277	14	n	n	CCONJ
ejpam-5507	277	15	)	)	PUNCT
ejpam-5507	277	16	a	a	DET
ejpam-5507	277	17	β2[−(α+2)−n	β2[−(α+2)−n	PROPN
ejpam-5507	277	18	]	]	SYM
ejpam-5507	277	19	2	2	NUM
ejpam-5507	277	20	[	[	PUNCT
ejpam-5507	277	21	∞∑	∞∑	NUM
ejpam-5507	277	22	n	n	CCONJ
ejpam-5507	277	23	,	,	PUNCT
ejpam-5507	277	24	k=0	k=0	PROPN
ejpam-5507	277	25	(	(	PUNCT
ejpam-5507	277	26	−1)naβ1k	−1)naβ1k	NOUN
ejpam-5507	277	27	1	1	NUM
ejpam-5507	277	28	(	(	PUNCT
ejpam-5507	277	29	r	r	NOUN
ejpam-5507	277	30	n	n	NOUN
ejpam-5507	277	31	)	)	PUNCT
ejpam-5507	277	32	(	(	PUNCT
ejpam-5507	277	33	n	n	X
ejpam-5507	277	34	k	k	X
ejpam-5507	277	35	)	)	PUNCT
ejpam-5507	277	36	b	b	PROPN
ejpam-5507	277	37	(	(	PUNCT
ejpam-5507	277	38	β1(k	β1(k	PUNCT
ejpam-5507	277	39	+	+	NOUN
ejpam-5507	277	40	1	1	NUM
ejpam-5507	277	41	)	)	PUNCT
ejpam-5507	277	42	,	,	PUNCT
ejpam-5507	277	43	n−	n−	NOUN
ejpam-5507	277	44	r	r	NOUN
ejpam-5507	277	45	αβ1	αβ1	NOUN
ejpam-5507	277	46	+	+	CCONJ
ejpam-5507	277	47	1	1	NUM
ejpam-5507	277	48	)	)	PUNCT
ejpam-5507	277	49	∞∑	∞∑	PROPN
ejpam-5507	277	50	n=0	n=0	NUM
ejpam-5507	277	51	(	(	PUNCT
ejpam-5507	277	52	−1)n	−1)n	X
ejpam-5507	277	53	(	(	PUNCT
ejpam-5507	277	54	s	s	NOUN
ejpam-5507	277	55	n	n	PRON
ejpam-5507	277	56	)	)	PUNCT
ejpam-5507	277	57	b	b	NOUN
ejpam-5507	277	58	(	(	PUNCT
ejpam-5507	277	59	β2[−(α+	β2[−(α+	NOUN
ejpam-5507	277	60	2)−	2)−	NUM
ejpam-5507	277	61	n+	n+	ADP
ejpam-5507	277	62	1	1	NUM
ejpam-5507	277	63	]	]	PUNCT
ejpam-5507	277	64	,	,	PUNCT
ejpam-5507	277	65	n−	n−	PROPN
ejpam-5507	277	66	s	s	VERB
ejpam-5507	277	67	αβ2	αβ2	ADJ
ejpam-5507	277	68	+	+	CCONJ
ejpam-5507	277	69	1	1	NUM
ejpam-5507	277	70	)	)	PUNCT
ejpam-5507	277	71	]	]	PUNCT
ejpam-5507	277	72	(	(	PUNCT
ejpam-5507	277	73	36	36	NUM
ejpam-5507	277	74	)	)	PUNCT
ejpam-5507	277	75	where	where	SCONJ
ejpam-5507	277	76	b(a	b(a	NOUN
ejpam-5507	277	77	,	,	PUNCT
ejpam-5507	277	78	b	b	X
ejpam-5507	277	79	)	)	PUNCT
ejpam-5507	277	80	is	be	AUX
ejpam-5507	277	81	the	the	DET
ejpam-5507	277	82	complete	complete	ADJ
ejpam-5507	277	83	beta	beta	NOUN
ejpam-5507	277	84	function	function	NOUN
ejpam-5507	277	85	.	.	PUNCT
ejpam-5507	278	1	the	the	DET
ejpam-5507	278	2	correlation	correlation	NOUN
ejpam-5507	278	3	coefficient	coefficient	NOUN
ejpam-5507	278	4	between	between	ADP
ejpam-5507	278	5	x1	x1	PROPN
ejpam-5507	278	6	and	and	CCONJ
ejpam-5507	278	7	x2	x2	PROPN
ejpam-5507	278	8	can	can	AUX
ejpam-5507	278	9	be	be	AUX
ejpam-5507	278	10	computed	compute	VERB
ejpam-5507	278	11	for	for	ADP
ejpam-5507	278	12	the	the	DET
ejpam-5507	278	13	btbb	btbb	ADJ
ejpam-5507	278	14	distribution	distribution	NOUN
ejpam-5507	278	15	.	.	PUNCT
ejpam-5507	279	1	the	the	DET
ejpam-5507	279	2	correlation	correlation	NOUN
ejpam-5507	279	3	coefficients	coefficient	NOUN
ejpam-5507	279	4	are	be	AUX
ejpam-5507	279	5	given	give	VERB
ejpam-5507	279	6	in	in	ADP
ejpam-5507	279	7	table	table	NOUN
ejpam-5507	279	8	1	1	NUM
ejpam-5507	279	9	below	below	ADV
ejpam-5507	279	10	for	for	ADP
ejpam-5507	279	11	α	α	NOUN
ejpam-5507	279	12	=	=	SYM
ejpam-5507	279	13	1	1	X
ejpam-5507	279	14	.	.	PUNCT
ejpam-5507	280	1	it	it	PRON
ejpam-5507	280	2	is	be	AUX
ejpam-5507	280	3	easy	easy	ADJ
ejpam-5507	280	4	to	to	PART
ejpam-5507	280	5	see	see	VERB
ejpam-5507	280	6	that	that	SCONJ
ejpam-5507	280	7	the	the	DET
ejpam-5507	280	8	correlation	correlation	NOUN
ejpam-5507	280	9	coefficient	coefficient	NOUN
ejpam-5507	280	10	increases	increase	VERB
ejpam-5507	280	11	with	with	ADP
ejpam-5507	280	12	an	an	DET
ejpam-5507	280	13	increase	increase	NOUN
ejpam-5507	280	14	in	in	ADP
ejpam-5507	280	15	the	the	DET
ejpam-5507	280	16	values	value	NOUN
ejpam-5507	280	17	of	of	ADP
ejpam-5507	280	18	the	the	DET
ejpam-5507	280	19	parameters	parameter	NOUN
ejpam-5507	280	20	.	.	PUNCT
ejpam-5507	281	1	the	the	DET
ejpam-5507	281	2	(	(	PUNCT
ejpam-5507	281	3	r	r	NOUN
ejpam-5507	281	4	,	,	PUNCT
ejpam-5507	281	5	s)th	s)th	PROPN
ejpam-5507	281	6	ratio	ratio	NOUN
ejpam-5507	281	7	moment	moment	NOUN
ejpam-5507	281	8	of	of	ADP
ejpam-5507	281	9	x1	x1	PROPN
ejpam-5507	281	10	and	and	CCONJ
ejpam-5507	281	11	x2	x2	PROPN
ejpam-5507	281	12	for	for	ADP
ejpam-5507	281	13	the	the	DET
ejpam-5507	281	14	btbb	btbb	ADJ
ejpam-5507	281	15	distribution	distribution	NOUN
ejpam-5507	281	16	is	be	AUX
ejpam-5507	281	17	e	e	NOUN
ejpam-5507	281	18	(	(	PUNCT
ejpam-5507	281	19	xr	xr	PROPN
ejpam-5507	281	20	1	1	PROPN
ejpam-5507	281	21	xs	xs	PROPN
ejpam-5507	281	22	2	2	NUM
ejpam-5507	281	23	)	)	PUNCT
ejpam-5507	281	24	=	=	SYM
ejpam-5507	282	1	∫	∫	PROPN
ejpam-5507	282	2	∞	∞	NUM
ejpam-5507	282	3	0	0	NUM
ejpam-5507	283	1	∫	∫	PROPN
ejpam-5507	284	1	∞	∞	NOUN
ejpam-5507	284	2	0	0	NUM
ejpam-5507	285	1	α3(α+	α3(α+	PROPN
ejpam-5507	285	2	1)aβ1	1)aβ1	NUM
ejpam-5507	285	3	1	1	NUM
ejpam-5507	285	4	aβ2	aβ2	NOUN
ejpam-5507	285	5	2	2	NUM
ejpam-5507	285	6	β2	β2	NOUN
ejpam-5507	285	7	1β	1β	NUM
ejpam-5507	285	8	2	2	NUM
ejpam-5507	285	9	2x	2x	NUM
ejpam-5507	285	10	r+β1−1	r+β1−1	PROPN
ejpam-5507	285	11	1	1	NUM
ejpam-5507	285	12	x−s+β2−1	x−s+β2−1	NOUN
ejpam-5507	285	13	2	2	NUM
ejpam-5507	285	14	(	(	PUNCT
ejpam-5507	285	15	1	1	NUM
ejpam-5507	285	16	+	+	CCONJ
ejpam-5507	285	17	xβ1	xβ1	NOUN
ejpam-5507	285	18	1	1	X
ejpam-5507	285	19	)	)	PUNCT
ejpam-5507	285	20	−(α+1)(1	−(α+1)(1	NOUN
ejpam-5507	285	21	+	+	CCONJ
ejpam-5507	285	22	xβ2	xβ2	NOUN
ejpam-5507	285	23	2	2	NUM
ejpam-5507	285	24	)	)	PUNCT
ejpam-5507	285	25	−(α+1	−(α+1	NOUN
ejpam-5507	285	26	)	)	PUNCT
ejpam-5507	285	27	γ	γ	X
ejpam-5507	285	28	×	×	NOUN
ejpam-5507	285	29	[	[	PUNCT
ejpam-5507	285	30	[	[	X
ejpam-5507	285	31	1−	1−	NUM
ejpam-5507	285	32	(	(	PUNCT
ejpam-5507	285	33	1	1	NUM
ejpam-5507	285	34	+	+	CCONJ
ejpam-5507	285	35	xβ1	xβ1	NOUN
ejpam-5507	285	36	1	1	X
ejpam-5507	285	37	)	)	PUNCT
ejpam-5507	285	38	−α]β1−1[1−	−α]β1−1[1−	PROPN
ejpam-5507	285	39	(	(	PUNCT
ejpam-5507	285	40	1	1	NUM
ejpam-5507	285	41	+	+	NUM
ejpam-5507	285	42	xβ2	xβ2	NOUN
ejpam-5507	285	43	2	2	X
ejpam-5507	285	44	)	)	PUNCT
ejpam-5507	285	45	−α]β2−1[∆2(x1	−α]β2−1[∆2(x1	PROPN
ejpam-5507	285	46	,	,	PUNCT
ejpam-5507	285	47	x2	x2	PROPN
ejpam-5507	285	48	)	)	PUNCT
ejpam-5507	285	49	]	]	PUNCT
ejpam-5507	286	1	−(α+2	−(α+2	PROPN
ejpam-5507	286	2	)	)	PUNCT
ejpam-5507	286	3	]	]	PUNCT
ejpam-5507	287	1	dx1dx2	dx1dx2	PROPN
ejpam-5507	287	2	e.	e.	PROPN
ejpam-5507	287	3	alsulami	alsulami	PROPN
ejpam-5507	287	4	,	,	PUNCT
ejpam-5507	287	5	l.	l.	PROPN
ejpam-5507	287	6	al	al	PROPN
ejpam-5507	287	7	-	-	PUNCT
ejpam-5507	287	8	turk	turk	PROPN
ejpam-5507	287	9	,	,	PUNCT
ejpam-5507	287	10	m.	m.	NOUN
ejpam-5507	287	11	q.	q.	PROPN
ejpam-5507	287	12	shahbaz	shahbaz	PROPN
ejpam-5507	287	13	/	/	SYM
ejpam-5507	287	14	eur	eur	PROPN
ejpam-5507	287	15	.	.	PUNCT
ejpam-5507	288	1	j.	j.	PROPN
ejpam-5507	288	2	pure	pure	PROPN
ejpam-5507	288	3	appl	appl	PROPN
ejpam-5507	288	4	.	.	PROPN
ejpam-5507	288	5	math	math	PROPN
ejpam-5507	288	6	,	,	PUNCT
ejpam-5507	288	7	17	17	NUM
ejpam-5507	288	8	(	(	PUNCT
ejpam-5507	288	9	4	4	NUM
ejpam-5507	288	10	)	)	PUNCT
ejpam-5507	288	11	(	(	PUNCT
ejpam-5507	288	12	2024	2024	NUM
ejpam-5507	288	13	)	)	PUNCT
ejpam-5507	288	14	,	,	PUNCT
ejpam-5507	288	15	3945	3945	NUM
ejpam-5507	288	16	-	-	SYM
ejpam-5507	288	17	3972	3972	NUM
ejpam-5507	288	18	3956	3956	NUM
ejpam-5507	288	19	=	=	PUNCT
ejpam-5507	289	1	α(α+	α(α+	NUM
ejpam-5507	289	2	1)aβ1	1)aβ1	NUM
ejpam-5507	289	3	1	1	NUM
ejpam-5507	289	4	aβ2	aβ2	NOUN
ejpam-5507	289	5	2	2	NUM
ejpam-5507	289	6	β1β2	β1β2	SYM
ejpam-5507	289	7	γ	γ	X
ejpam-5507	289	8	∫	∫	PROPN
ejpam-5507	289	9	1	1	NUM
ejpam-5507	289	10	0	0	NUM
ejpam-5507	289	11	∫	∫	PROPN
ejpam-5507	289	12	1	1	NUM
ejpam-5507	289	13	0	0	NUM
ejpam-5507	289	14	uβ1−1	uβ1−1	ADJ
ejpam-5507	289	15	vβ2−1	vβ2−1	NOUN
ejpam-5507	289	16	[	[	PUNCT
ejpam-5507	289	17	(	(	PUNCT
ejpam-5507	289	18	1−	1−	NUM
ejpam-5507	289	19	u	u	NOUN
ejpam-5507	289	20	)	)	PUNCT
ejpam-5507	289	21	−	−	PROPN
ejpam-5507	289	22	(	(	PUNCT
ejpam-5507	289	23	1	1	NUM
ejpam-5507	289	24	αβ1	αβ1	NOUN
ejpam-5507	289	25	)	)	PUNCT
ejpam-5507	290	1	−	−	PROPN
ejpam-5507	290	2	1	1	NUM
ejpam-5507	290	3	]	]	SYM
ejpam-5507	290	4	r	r	NOUN
ejpam-5507	290	5	[	[	PUNCT
ejpam-5507	290	6	(	(	PUNCT
ejpam-5507	290	7	1−	1−	NUM
ejpam-5507	290	8	v	v	NOUN
ejpam-5507	290	9	)	)	PUNCT
ejpam-5507	291	1	−	−	PROPN
ejpam-5507	291	2	(	(	PUNCT
ejpam-5507	291	3	1	1	NUM
ejpam-5507	291	4	αβ2	αβ2	NOUN
ejpam-5507	291	5	)	)	PUNCT
ejpam-5507	292	1	−	−	PROPN
ejpam-5507	292	2	1	1	NUM
ejpam-5507	292	3	]	]	SYM
ejpam-5507	292	4	−s	−s	NOUN
ejpam-5507	292	5	[	[	PUNCT
ejpam-5507	292	6	1	1	NUM
ejpam-5507	292	7	+	+	CCONJ
ejpam-5507	292	8	(	(	PUNCT
ejpam-5507	292	9	a1	a1	PROPN
ejpam-5507	292	10	u	u	NOUN
ejpam-5507	292	11	)	)	PUNCT
ejpam-5507	292	12	β1	β1	NOUN
ejpam-5507	292	13	+	+	CCONJ
ejpam-5507	292	14	(	(	PUNCT
ejpam-5507	292	15	a2	a2	PROPN
ejpam-5507	292	16	v	v	NOUN
ejpam-5507	292	17	)	)	PUNCT
ejpam-5507	292	18	β2	β2	NOUN
ejpam-5507	292	19	]	]	PUNCT
ejpam-5507	292	20	−(α+2	−(α+2	NOUN
ejpam-5507	292	21	)	)	PUNCT
ejpam-5507	293	1	dudv	dudv	ADV
ejpam-5507	293	2	after	after	ADP
ejpam-5507	293	3	simplify	simplify	NOUN
ejpam-5507	293	4	,	,	PUNCT
ejpam-5507	293	5	the	the	DET
ejpam-5507	293	6	ratio	ratio	NOUN
ejpam-5507	293	7	moment	moment	NOUN
ejpam-5507	293	8	for	for	ADP
ejpam-5507	293	9	the	the	DET
ejpam-5507	293	10	btbb	btbb	ADJ
ejpam-5507	293	11	distribution	distribution	NOUN
ejpam-5507	293	12	is	be	AUX
ejpam-5507	293	13	e	e	NOUN
ejpam-5507	293	14	(	(	PUNCT
ejpam-5507	293	15	xr	xr	PROPN
ejpam-5507	293	16	1	1	PROPN
ejpam-5507	293	17	xs	xs	PROPN
ejpam-5507	293	18	2	2	NUM
ejpam-5507	293	19	)	)	PUNCT
ejpam-5507	293	20	=	=	PUNCT
ejpam-5507	294	1	α(α+	α(α+	NUM
ejpam-5507	294	2	1)aβ1	1)aβ1	NUM
ejpam-5507	294	3	1	1	NUM
ejpam-5507	294	4	aβ2	aβ2	NOUN
ejpam-5507	294	5	2	2	NUM
ejpam-5507	294	6	β1β2	β1β2	ADP
ejpam-5507	294	7	γ	γ	X
ejpam-5507	294	8	∞∑	∞∑	PROPN
ejpam-5507	294	9	n=0	n=0	PROPN
ejpam-5507	294	10	(	(	PUNCT
ejpam-5507	294	11	−(α+	−(α+	NUM
ejpam-5507	294	12	2	2	NUM
ejpam-5507	294	13	)	)	PUNCT
ejpam-5507	294	14	n	n	CCONJ
ejpam-5507	294	15	)	)	PUNCT
ejpam-5507	294	16	a	a	DET
ejpam-5507	294	17	β2[−(α+2)−n	β2[−(α+2)−n	PROPN
ejpam-5507	294	18	]	]	SYM
ejpam-5507	294	19	2	2	NUM
ejpam-5507	294	20	[	[	PUNCT
ejpam-5507	294	21	∞∑	∞∑	NUM
ejpam-5507	294	22	n	n	CCONJ
ejpam-5507	294	23	,	,	PUNCT
ejpam-5507	294	24	k=0	k=0	PROPN
ejpam-5507	294	25	(	(	PUNCT
ejpam-5507	294	26	−1)naβ1k	−1)naβ1k	NOUN
ejpam-5507	294	27	1	1	NUM
ejpam-5507	294	28	(	(	PUNCT
ejpam-5507	294	29	r	r	NOUN
ejpam-5507	294	30	n	n	NOUN
ejpam-5507	294	31	)	)	PUNCT
ejpam-5507	294	32	(	(	PUNCT
ejpam-5507	294	33	n	n	X
ejpam-5507	294	34	k	k	NOUN
ejpam-5507	294	35	)	)	PUNCT
ejpam-5507	294	36	×b	×b	NOUN
ejpam-5507	294	37	(	(	PUNCT
ejpam-5507	294	38	β1(k	β1(k	X
ejpam-5507	294	39	+	+	NOUN
ejpam-5507	294	40	1	1	NUM
ejpam-5507	294	41	)	)	PUNCT
ejpam-5507	294	42	,	,	PUNCT
ejpam-5507	294	43	n−	n−	NOUN
ejpam-5507	294	44	r	r	NOUN
ejpam-5507	294	45	αβ1	αβ1	NOUN
ejpam-5507	294	46	+	+	CCONJ
ejpam-5507	294	47	1	1	NUM
ejpam-5507	294	48	)	)	PUNCT
ejpam-5507	294	49	∞∑	∞∑	PROPN
ejpam-5507	294	50	n=0	n=0	NUM
ejpam-5507	294	51	(	(	PUNCT
ejpam-5507	294	52	−1)n	−1)n	X
ejpam-5507	294	53	(	(	PUNCT
ejpam-5507	294	54	−s	−s	NOUN
ejpam-5507	294	55	n	n	NOUN
ejpam-5507	294	56	)	)	PUNCT
ejpam-5507	294	57	b	b	NOUN
ejpam-5507	294	58	(	(	PUNCT
ejpam-5507	294	59	β2[−(α+	β2[−(α+	NOUN
ejpam-5507	294	60	2)−	2)−	NUM
ejpam-5507	294	61	n+	n+	ADP
ejpam-5507	294	62	1	1	NUM
ejpam-5507	294	63	]	]	PUNCT
ejpam-5507	294	64	,	,	PUNCT
ejpam-5507	294	65	n+	n+	X
ejpam-5507	294	66	s	s	VERB
ejpam-5507	294	67	αβ2	αβ2	NOUN
ejpam-5507	294	68	+	+	NOUN
ejpam-5507	294	69	1	1	NUM
ejpam-5507	294	70	)	)	PUNCT
ejpam-5507	294	71	]	]	PUNCT
ejpam-5507	294	72	.	.	PUNCT
ejpam-5507	295	1	(	(	PUNCT
ejpam-5507	295	2	37	37	NUM
ejpam-5507	295	3	)	)	PUNCT
ejpam-5507	295	4	the	the	DET
ejpam-5507	295	5	marginal	marginal	ADJ
ejpam-5507	295	6	and	and	CCONJ
ejpam-5507	295	7	inverse	inverse	ADJ
ejpam-5507	295	8	moments	moment	NOUN
ejpam-5507	295	9	for	for	ADP
ejpam-5507	295	10	the	the	DET
ejpam-5507	295	11	btbb	btbb	ADJ
ejpam-5507	295	12	distribution	distribution	NOUN
ejpam-5507	295	13	are	be	AUX
ejpam-5507	295	14	discussed	discuss	VERB
ejpam-5507	295	15	in	in	ADP
ejpam-5507	295	16	the	the	DET
ejpam-5507	295	17	next	next	ADJ
ejpam-5507	295	18	subsection	subsection	NOUN
ejpam-5507	295	19	.	.	PUNCT
ejpam-5507	296	1	table	table	NOUN
ejpam-5507	296	2	1	1	NUM
ejpam-5507	296	3	:	:	PUNCT
ejpam-5507	296	4	correlation	correlation	NOUN
ejpam-5507	296	5	coefficient	coefficient	NOUN
ejpam-5507	296	6	for	for	ADP
ejpam-5507	296	7	the	the	DET
ejpam-5507	296	8	btbb	btbb	ADJ
ejpam-5507	296	9	distribution	distribution	NOUN
ejpam-5507	296	10	.	.	PUNCT
ejpam-5507	297	1	β1	β1	NOUN
ejpam-5507	297	2	=	=	PUNCT
ejpam-5507	297	3	3	3	NUM
ejpam-5507	297	4	β2	β2	NOUN
ejpam-5507	297	5	=	=	SYM
ejpam-5507	297	6	3	3	NUM
ejpam-5507	297	7	a2	a2	NOUN
ejpam-5507	297	8	a1	a1	NOUN
ejpam-5507	297	9	2	2	NUM
ejpam-5507	297	10	3	3	NUM
ejpam-5507	297	11	4	4	NUM
ejpam-5507	297	12	5	5	NUM
ejpam-5507	297	13	2	2	NUM
ejpam-5507	297	14	0.189	0.189	NUM
ejpam-5507	297	15	0.238	0.238	NUM
ejpam-5507	297	16	0.259	0.259	NUM
ejpam-5507	297	17	0.272	0.272	NUM
ejpam-5507	297	18	3	3	NUM
ejpam-5507	297	19	0.238	0.238	NUM
ejpam-5507	297	20	0.314	0.314	NUM
ejpam-5507	297	21	0.350	0.350	NUM
ejpam-5507	297	22	0.369	0.369	NUM
ejpam-5507	297	23	4	4	NUM
ejpam-5507	297	24	0.259	0.259	NUM
ejpam-5507	297	25	0.350	0.350	NUM
ejpam-5507	297	26	0.396	0.396	NUM
ejpam-5507	297	27	0.421	0.421	NUM
ejpam-5507	297	28	5	5	NUM
ejpam-5507	297	29	0.272	0.272	NUM
ejpam-5507	297	30	0.369	0.369	NUM
ejpam-5507	297	31	0.421	0.421	NUM
ejpam-5507	297	32	0.451	0.451	NUM
ejpam-5507	297	33	β1	β1	NOUN
ejpam-5507	297	34	=	=	SYM
ejpam-5507	297	35	4	4	NUM
ejpam-5507	297	36	β2	β2	NOUN
ejpam-5507	297	37	=	=	SYM
ejpam-5507	297	38	5	5	NUM
ejpam-5507	297	39	a2	a2	NOUN
ejpam-5507	297	40	a1	a1	NOUN
ejpam-5507	297	41	2	2	NUM
ejpam-5507	297	42	3	3	NUM
ejpam-5507	297	43	4	4	NUM
ejpam-5507	297	44	5	5	NUM
ejpam-5507	297	45	2	2	NUM
ejpam-5507	297	46	0.352	0.352	NUM
ejpam-5507	297	47	0.379	0.379	NUM
ejpam-5507	297	48	0.377	0.377	NUM
ejpam-5507	297	49	0.374	0.374	NUM
ejpam-5507	297	50	3	3	NUM
ejpam-5507	297	51	0.429	0.429	NUM
ejpam-5507	297	52	0.493	0.493	NUM
ejpam-5507	297	53	0.489	0.489	NUM
ejpam-5507	297	54	0.479	0.479	NUM
ejpam-5507	297	55	4	4	NUM
ejpam-5507	297	56	0.446	0.446	NUM
ejpam-5507	297	57	0.535	0.535	NUM
ejpam-5507	297	58	0.535	0.535	NUM
ejpam-5507	297	59	0.533	0.533	NUM
ejpam-5507	297	60	5	5	NUM
ejpam-5507	297	61	0.448	0.448	NUM
ejpam-5507	297	62	0.546	0.546	NUM
ejpam-5507	297	63	0.563	0.563	NUM
ejpam-5507	297	64	0.557	0.557	NUM
ejpam-5507	297	65	β1	β1	NOUN
ejpam-5507	297	66	=	=	SYM
ejpam-5507	297	67	6	6	NUM
ejpam-5507	297	68	β2	β2	NOUN
ejpam-5507	297	69	=	=	SYM
ejpam-5507	297	70	6	6	NUM
ejpam-5507	297	71	a2	a2	NOUN
ejpam-5507	297	72	a1	a1	NOUN
ejpam-5507	297	73	2	2	NUM
ejpam-5507	297	74	3	3	NUM
ejpam-5507	297	75	4	4	NUM
ejpam-5507	297	76	5	5	NUM
ejpam-5507	297	77	2	2	NUM
ejpam-5507	297	78	0.472	0.472	NUM
ejpam-5507	297	79	0.495	0.495	NUM
ejpam-5507	297	80	0.486	0.486	NUM
ejpam-5507	297	81	0.479	0.479	NUM
ejpam-5507	297	82	3	3	NUM
ejpam-5507	297	83	0.495	0.495	NUM
ejpam-5507	297	84	0.566	0.566	NUM
ejpam-5507	297	85	0.561	0.561	NUM
ejpam-5507	297	86	0.552	0.552	NUM
ejpam-5507	297	87	4	4	NUM
ejpam-5507	297	88	0.486	0.486	NUM
ejpam-5507	297	89	0.561	0.561	NUM
ejpam-5507	297	90	0.566	0.566	NUM
ejpam-5507	297	91	0.563	0.563	NUM
ejpam-5507	297	92	5	5	NUM
ejpam-5507	297	93	0.479	0.479	NUM
ejpam-5507	297	94	0.552	0.552	NUM
ejpam-5507	297	95	0.563	0.563	NUM
ejpam-5507	297	96	0.563	0.563	NUM
ejpam-5507	297	97	e.	e.	PROPN
ejpam-5507	297	98	alsulami	alsulami	PROPN
ejpam-5507	297	99	,	,	PUNCT
ejpam-5507	297	100	l.	l.	PROPN
ejpam-5507	297	101	al	al	PROPN
ejpam-5507	297	102	-	-	PUNCT
ejpam-5507	297	103	turk	turk	PROPN
ejpam-5507	297	104	,	,	PUNCT
ejpam-5507	297	105	m.	m.	NOUN
ejpam-5507	297	106	q.	q.	PROPN
ejpam-5507	297	107	shahbaz	shahbaz	PROPN
ejpam-5507	297	108	/	/	SYM
ejpam-5507	297	109	eur	eur	PROPN
ejpam-5507	297	110	.	.	PUNCT
ejpam-5507	298	1	j.	j.	PROPN
ejpam-5507	298	2	pure	pure	PROPN
ejpam-5507	298	3	appl	appl	PROPN
ejpam-5507	298	4	.	.	PROPN
ejpam-5507	298	5	math	math	PROPN
ejpam-5507	298	6	,	,	PUNCT
ejpam-5507	298	7	17	17	NUM
ejpam-5507	298	8	(	(	PUNCT
ejpam-5507	298	9	4	4	NUM
ejpam-5507	298	10	)	)	PUNCT
ejpam-5507	298	11	(	(	PUNCT
ejpam-5507	298	12	2024	2024	NUM
ejpam-5507	298	13	)	)	PUNCT
ejpam-5507	298	14	,	,	PUNCT
ejpam-5507	298	15	3945	3945	NUM
ejpam-5507	298	16	-	-	SYM
ejpam-5507	298	17	3972	3972	NUM
ejpam-5507	298	18	3957	3957	NUM
ejpam-5507	298	19	6.3	6.3	NUM
ejpam-5507	298	20	.	.	PUNCT
ejpam-5507	299	1	the	the	DET
ejpam-5507	299	2	marginal	marginal	ADJ
ejpam-5507	299	3	and	and	CCONJ
ejpam-5507	299	4	inverse	inverse	ADJ
ejpam-5507	299	5	moments	moment	NOUN
ejpam-5507	299	6	the	the	DET
ejpam-5507	299	7	rth	rth	PROPN
ejpam-5507	299	8	marginal	marginal	ADJ
ejpam-5507	299	9	moment	moment	NOUN
ejpam-5507	299	10	of	of	ADP
ejpam-5507	299	11	x1	x1	PROPN
ejpam-5507	299	12	for	for	ADP
ejpam-5507	299	13	the	the	DET
ejpam-5507	299	14	btbb	btbb	ADJ
ejpam-5507	299	15	distribution	distribution	NOUN
ejpam-5507	299	16	is	be	AUX
ejpam-5507	299	17	obtained	obtain	VERB
ejpam-5507	299	18	by	by	ADP
ejpam-5507	299	19	using	use	VERB
ejpam-5507	299	20	eq.32	eq.32	PROPN
ejpam-5507	299	21	as	as	ADP
ejpam-5507	299	22	e(xr	e(xr	X
ejpam-5507	299	23	1	1	NUM
ejpam-5507	299	24	)	)	PUNCT
ejpam-5507	299	25	=	=	SYM
ejpam-5507	300	1	∫	∫	PROPN
ejpam-5507	300	2	∞	∞	PROPN
ejpam-5507	300	3	0	0	NUM
ejpam-5507	301	1	xr1	xr1	PROPN
ejpam-5507	302	1	α2β2	α2β2	X
ejpam-5507	302	2	1a	1a	PROPN
ejpam-5507	302	3	β1	β1	PROPN
ejpam-5507	302	4	1	1	NUM
ejpam-5507	302	5	xβ1−1	xβ1−1	ADJ
ejpam-5507	302	6	1	1	NUM
ejpam-5507	302	7	(	(	PUNCT
ejpam-5507	302	8	1	1	NUM
ejpam-5507	302	9	+	+	CCONJ
ejpam-5507	302	10	xβ1	xβ1	NOUN
ejpam-5507	302	11	1	1	NUM
ejpam-5507	302	12	)	)	PUNCT
ejpam-5507	302	13	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	302	14	(	(	PUNCT
ejpam-5507	302	15	1	1	NUM
ejpam-5507	303	1	+	+	CCONJ
ejpam-5507	303	2	xβ1	xβ1	NOUN
ejpam-5507	303	3	1	1	NUM
ejpam-5507	303	4	)	)	PUNCT
ejpam-5507	303	5	−α]β1−1	−α]β1−1	NOUN
ejpam-5507	303	6	γ	γ	X
ejpam-5507	303	7	×	×	NOUN
ejpam-5507	303	8	[	[	PUNCT
ejpam-5507	303	9	[	[	X
ejpam-5507	303	10	1	1	NUM
ejpam-5507	303	11	+	+	CCONJ
ejpam-5507	303	12	(	(	PUNCT
ejpam-5507	303	13	a1(1−	a1(1−	X
ejpam-5507	303	14	(	(	PUNCT
ejpam-5507	303	15	1	1	NUM
ejpam-5507	303	16	+	+	CCONJ
ejpam-5507	303	17	xβ1	xβ1	NOUN
ejpam-5507	303	18	1	1	NUM
ejpam-5507	303	19	)	)	PUNCT
ejpam-5507	303	20	−α))β1	−α))β1	NOUN
ejpam-5507	303	21	]	]	PUNCT
ejpam-5507	303	22	−(α+1	−(α+1	NOUN
ejpam-5507	303	23	)	)	PUNCT
ejpam-5507	303	24	−	−	PROPN
ejpam-5507	304	1	[	[	X
ejpam-5507	304	2	1	1	NUM
ejpam-5507	304	3	+	+	CCONJ
ejpam-5507	304	4	(	(	PUNCT
ejpam-5507	304	5	a1(1−	a1(1−	X
ejpam-5507	304	6	(	(	PUNCT
ejpam-5507	304	7	1	1	NUM
ejpam-5507	304	8	+	+	CCONJ
ejpam-5507	304	9	xβ1	xβ1	NOUN
ejpam-5507	304	10	1	1	NUM
ejpam-5507	304	11	)	)	PUNCT
ejpam-5507	304	12	−α))β1	−α))β1	NOUN
ejpam-5507	304	13	+	+	CCONJ
ejpam-5507	304	14	aβ2	aβ2	NOUN
ejpam-5507	304	15	2	2	NUM
ejpam-5507	304	16	]	]	PUNCT
ejpam-5507	304	17	−(α+1	−(α+1	NOUN
ejpam-5507	304	18	)	)	PUNCT
ejpam-5507	304	19	]	]	PUNCT
ejpam-5507	305	1	dx1	dx1	PROPN
ejpam-5507	305	2	=	=	PUNCT
ejpam-5507	305	3	α	α	PROPN
ejpam-5507	305	4	β1	β1	PROPN
ejpam-5507	305	5	a	a	DET
ejpam-5507	305	6	β1	β1	PROPN
ejpam-5507	305	7	1	1	NUM
ejpam-5507	305	8	γ	γ	X
ejpam-5507	305	9	∫	∫	PROPN
ejpam-5507	305	10	1	1	NUM
ejpam-5507	305	11	0	0	NUM
ejpam-5507	305	12	uβ1−1	uβ1−1	ADJ
ejpam-5507	305	13	[	[	PUNCT
ejpam-5507	305	14	(	(	PUNCT
ejpam-5507	305	15	1−	1−	NUM
ejpam-5507	305	16	u	u	NOUN
ejpam-5507	305	17	)	)	PUNCT
ejpam-5507	305	18	−1	−1	NOUN
ejpam-5507	305	19	αβ1	αβ1	NOUN
ejpam-5507	305	20	−	−	NOUN
ejpam-5507	305	21	1	1	NUM
ejpam-5507	305	22	]	]	SYM
ejpam-5507	305	23	r	r	NOUN
ejpam-5507	305	24	−	−	NOUN
ejpam-5507	306	1	[	[	PUNCT
ejpam-5507	306	2	[	[	X
ejpam-5507	306	3	1	1	NUM
ejpam-5507	306	4	+	+	CCONJ
ejpam-5507	306	5	(	(	PUNCT
ejpam-5507	306	6	a1u	a1u	PROPN
ejpam-5507	306	7	)	)	PUNCT
ejpam-5507	306	8	β1	β1	NOUN
ejpam-5507	306	9	]	]	PUNCT
ejpam-5507	306	10	−(α+1)[1	−(α+1)[1	PROPN
ejpam-5507	306	11	+	+	X
ejpam-5507	306	12	(	(	PUNCT
ejpam-5507	306	13	a1u	a1u	PROPN
ejpam-5507	306	14	)	)	PUNCT
ejpam-5507	306	15	β1	β1	NOUN
ejpam-5507	307	1	+	+	CCONJ
ejpam-5507	307	2	aβ2	aβ2	NOUN
ejpam-5507	307	3	2	2	NUM
ejpam-5507	307	4	]	]	PUNCT
ejpam-5507	307	5	−(α+1	−(α+1	NOUN
ejpam-5507	307	6	)	)	PUNCT
ejpam-5507	307	7	]	]	PUNCT
ejpam-5507	308	1	du	du	PROPN
ejpam-5507	308	2	simplifying	simplify	VERB
ejpam-5507	308	3	above	above	ADV
ejpam-5507	308	4	,	,	PUNCT
ejpam-5507	308	5	the	the	DET
ejpam-5507	308	6	rth	rth	PROPN
ejpam-5507	308	7	marginal	marginal	ADJ
ejpam-5507	308	8	moment	moment	NOUN
ejpam-5507	308	9	is	be	AUX
ejpam-5507	308	10	e(xr	e(xr	X
ejpam-5507	308	11	1	1	NUM
ejpam-5507	308	12	)	)	PUNCT
ejpam-5507	308	13	=	=	PUNCT
ejpam-5507	309	1	α	α	PRON
ejpam-5507	309	2	β1	β1	PROPN
ejpam-5507	309	3	a	a	DET
ejpam-5507	309	4	β1	β1	PROPN
ejpam-5507	309	5	1	1	NUM
ejpam-5507	309	6	γ	γ	PROPN
ejpam-5507	309	7	∞∑	∞∑	PROPN
ejpam-5507	309	8	n=0	n=0	PROPN
ejpam-5507	309	9	(	(	PUNCT
ejpam-5507	309	10	−1)n	−1)n	PROPN
ejpam-5507	309	11	a	a	DET
ejpam-5507	309	12	β1[−(α+1)−n	β1[−(α+1)−n	PROPN
ejpam-5507	309	13	]	]	SYM
ejpam-5507	309	14	1	1	NUM
ejpam-5507	309	15	(	(	PUNCT
ejpam-5507	309	16	−(α+	−(α+	NUM
ejpam-5507	309	17	1	1	NUM
ejpam-5507	309	18	)	)	PUNCT
ejpam-5507	309	19	n	n	NOUN
ejpam-5507	309	20	)	)	PUNCT
ejpam-5507	309	21	(	(	PUNCT
ejpam-5507	309	22	r	r	NOUN
ejpam-5507	309	23	n	n	CCONJ
ejpam-5507	309	24	)	)	PUNCT
ejpam-5507	309	25	b	b	NOUN
ejpam-5507	309	26	(	(	PUNCT
ejpam-5507	309	27	β1[−(α+	β1[−(α+	NOUN
ejpam-5507	309	28	2)−	2)−	NUM
ejpam-5507	309	29	n+	n+	NUM
ejpam-5507	309	30	1	1	NUM
ejpam-5507	309	31	]	]	PUNCT
ejpam-5507	309	32	,	,	PUNCT
ejpam-5507	309	33	n−	n−	NOUN
ejpam-5507	309	34	r	r	NOUN
ejpam-5507	309	35	αβ1	αβ1	NOUN
ejpam-5507	309	36	+	+	CCONJ
ejpam-5507	309	37	1	1	X
ejpam-5507	309	38	)	)	PUNCT
ejpam-5507	309	39	×	×	NOUN
ejpam-5507	309	40	[	[	PUNCT
ejpam-5507	309	41	1−	1−	NUM
ejpam-5507	310	1	[	[	X
ejpam-5507	310	2	1	1	NUM
ejpam-5507	310	3	+	+	NUM
ejpam-5507	310	4	aβ2	aβ2	NOUN
ejpam-5507	310	5	2	2	NUM
ejpam-5507	310	6	]	]	SYM
ejpam-5507	310	7	n	n	X
ejpam-5507	310	8	]	]	PUNCT
ejpam-5507	310	9	.	.	PUNCT
ejpam-5507	311	1	(	(	PUNCT
ejpam-5507	311	2	38	38	NUM
ejpam-5507	311	3	)	)	PUNCT
ejpam-5507	311	4	similarly	similarly	ADV
ejpam-5507	311	5	,	,	PUNCT
ejpam-5507	311	6	the	the	DET
ejpam-5507	311	7	marginal	marginal	ADJ
ejpam-5507	311	8	distribution	distribution	NOUN
ejpam-5507	311	9	in	in	ADP
ejpam-5507	311	10	eq.33	eq.33	NOUN
ejpam-5507	311	11	can	can	AUX
ejpam-5507	311	12	be	be	AUX
ejpam-5507	311	13	used	use	VERB
ejpam-5507	311	14	to	to	PART
ejpam-5507	311	15	obtained	obtain	VERB
ejpam-5507	311	16	the	the	DET
ejpam-5507	311	17	sth	sth	NOUN
ejpam-5507	311	18	marginal	marginal	ADJ
ejpam-5507	311	19	moment	moment	NOUN
ejpam-5507	311	20	of	of	ADP
ejpam-5507	311	21	the	the	DET
ejpam-5507	311	22	random	random	ADJ
ejpam-5507	311	23	variable	variable	NOUN
ejpam-5507	311	24	x2	x2	PROPN
ejpam-5507	311	25	for	for	ADP
ejpam-5507	311	26	the	the	DET
ejpam-5507	311	27	btbb	btbb	ADJ
ejpam-5507	311	28	distribution	distribution	NOUN
ejpam-5507	311	29	as	as	ADP
ejpam-5507	311	30	e(xs	e(x	NOUN
ejpam-5507	311	31	2	2	NUM
ejpam-5507	311	32	)	)	PUNCT
ejpam-5507	311	33	=	=	SYM
ejpam-5507	312	1	∫	∫	PROPN
ejpam-5507	313	1	∞	∞	NUM
ejpam-5507	313	2	0	0	NUM
ejpam-5507	314	1	xs2	xs2	PROPN
ejpam-5507	314	2	α2β2	α2β2	PUNCT
ejpam-5507	314	3	2a	2a	NUM
ejpam-5507	314	4	β2	β2	VERB
ejpam-5507	314	5	2	2	NUM
ejpam-5507	314	6	xβ2−1	xβ2−1	NOUN
ejpam-5507	314	7	2	2	NUM
ejpam-5507	314	8	(	(	PUNCT
ejpam-5507	314	9	1	1	NUM
ejpam-5507	314	10	+	+	NUM
ejpam-5507	314	11	xβ2	xβ2	NOUN
ejpam-5507	314	12	2	2	X
ejpam-5507	314	13	)	)	PUNCT
ejpam-5507	314	14	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	314	15	(	(	PUNCT
ejpam-5507	314	16	1	1	NUM
ejpam-5507	314	17	+	+	NUM
ejpam-5507	314	18	xβ2	xβ2	NOUN
ejpam-5507	314	19	2	2	X
ejpam-5507	314	20	)	)	PUNCT
ejpam-5507	315	1	−α]β2−1	−α]β2−1	NOUN
ejpam-5507	315	2	γ	γ	X
ejpam-5507	315	3	×	×	NOUN
ejpam-5507	315	4	[	[	PUNCT
ejpam-5507	315	5	[	[	X
ejpam-5507	315	6	1	1	NUM
ejpam-5507	315	7	+	+	CCONJ
ejpam-5507	315	8	(	(	PUNCT
ejpam-5507	315	9	a2(1−	a2(1−	X
ejpam-5507	315	10	(	(	PUNCT
ejpam-5507	315	11	1	1	NUM
ejpam-5507	315	12	+	+	NUM
ejpam-5507	315	13	xβ2	xβ2	NOUN
ejpam-5507	315	14	2	2	NUM
ejpam-5507	315	15	)	)	PUNCT
ejpam-5507	315	16	−α))β2	−α))β2	ADP
ejpam-5507	315	17	]	]	PUNCT
ejpam-5507	315	18	−(α+1	−(α+1	NOUN
ejpam-5507	315	19	)	)	PUNCT
ejpam-5507	315	20	−	−	PROPN
ejpam-5507	316	1	[	[	X
ejpam-5507	316	2	1	1	NUM
ejpam-5507	316	3	+	+	CCONJ
ejpam-5507	316	4	(	(	PUNCT
ejpam-5507	316	5	a2(1−	a2(1−	X
ejpam-5507	316	6	(	(	PUNCT
ejpam-5507	316	7	1	1	NUM
ejpam-5507	316	8	+	+	NUM
ejpam-5507	316	9	xβ2	xβ2	NOUN
ejpam-5507	316	10	2	2	NUM
ejpam-5507	316	11	)	)	PUNCT
ejpam-5507	316	12	−α))β2	−α))β2	NOUN
ejpam-5507	316	13	+	+	CCONJ
ejpam-5507	316	14	aβ1	aβ1	NOUN
ejpam-5507	316	15	1	1	NUM
ejpam-5507	316	16	]	]	PUNCT
ejpam-5507	316	17	−(α+1	−(α+1	NOUN
ejpam-5507	316	18	)	)	PUNCT
ejpam-5507	316	19	]	]	PUNCT
ejpam-5507	317	1	dx2	dx2	X
ejpam-5507	317	2	.	.	PUNCT
ejpam-5507	318	1	solving	solve	VERB
ejpam-5507	318	2	the	the	DET
ejpam-5507	318	3	integral	integral	ADJ
ejpam-5507	318	4	,	,	PUNCT
ejpam-5507	318	5	the	the	DET
ejpam-5507	318	6	sth	sth	PROPN
ejpam-5507	318	7	marginal	marginal	ADJ
ejpam-5507	318	8	moment	moment	NOUN
ejpam-5507	318	9	is	be	AUX
ejpam-5507	318	10	e(xs	e(x	NOUN
ejpam-5507	318	11	2	2	NUM
ejpam-5507	318	12	)	)	PUNCT
ejpam-5507	318	13	=	=	PUNCT
ejpam-5507	319	1	α	α	PRON
ejpam-5507	319	2	β2	β2	VERB
ejpam-5507	319	3	a	a	DET
ejpam-5507	319	4	β2	β2	NOUN
ejpam-5507	319	5	2	2	NUM
ejpam-5507	319	6	γ	γ	PROPN
ejpam-5507	319	7	∞∑	∞∑	PROPN
ejpam-5507	319	8	n=0	n=0	PROPN
ejpam-5507	319	9	(	(	PUNCT
ejpam-5507	319	10	−1)n	−1)n	PROPN
ejpam-5507	319	11	a	a	DET
ejpam-5507	319	12	β2[−(α+1)−n	β2[−(α+1)−n	PROPN
ejpam-5507	319	13	]	]	X
ejpam-5507	319	14	2	2	NUM
ejpam-5507	319	15	(	(	PUNCT
ejpam-5507	319	16	−(α+	−(α+	NUM
ejpam-5507	319	17	1	1	NUM
ejpam-5507	319	18	)	)	PUNCT
ejpam-5507	319	19	n	n	NOUN
ejpam-5507	319	20	)	)	PUNCT
ejpam-5507	319	21	(	(	PUNCT
ejpam-5507	319	22	s	s	AUX
ejpam-5507	319	23	n	n	NOUN
ejpam-5507	319	24	)	)	PUNCT
ejpam-5507	319	25	b	b	NOUN
ejpam-5507	319	26	(	(	PUNCT
ejpam-5507	319	27	β2[−(α+	β2[−(α+	NOUN
ejpam-5507	319	28	2)−	2)−	NUM
ejpam-5507	319	29	n+	n+	ADP
ejpam-5507	319	30	1	1	NUM
ejpam-5507	319	31	]	]	PUNCT
ejpam-5507	319	32	,	,	PUNCT
ejpam-5507	319	33	n−	n−	PROPN
ejpam-5507	319	34	s	s	AUX
ejpam-5507	319	35	αβ2	αβ2	ADJ
ejpam-5507	319	36	+	+	CCONJ
ejpam-5507	319	37	1	1	X
ejpam-5507	319	38	)	)	PUNCT
ejpam-5507	319	39	×	×	NOUN
ejpam-5507	319	40	[	[	PUNCT
ejpam-5507	319	41	1−	1−	NUM
ejpam-5507	319	42	[	[	X
ejpam-5507	319	43	1	1	NUM
ejpam-5507	319	44	+	+	CCONJ
ejpam-5507	319	45	aβ1	aβ1	NOUN
ejpam-5507	319	46	1	1	NUM
ejpam-5507	319	47	]	]	SYM
ejpam-5507	319	48	n	n	CCONJ
ejpam-5507	319	49	]	]	PUNCT
ejpam-5507	319	50	.	.	PUNCT
ejpam-5507	320	1	(	(	PUNCT
ejpam-5507	320	2	39	39	NUM
ejpam-5507	320	3	)	)	PUNCT
ejpam-5507	320	4	the	the	DET
ejpam-5507	320	5	rth	rth	NOUN
ejpam-5507	320	6	and	and	CCONJ
ejpam-5507	320	7	sth	sth	PROPN
ejpam-5507	320	8	inverse	inverse	NOUN
ejpam-5507	320	9	moments	moment	NOUN
ejpam-5507	320	10	can	can	AUX
ejpam-5507	320	11	be	be	AUX
ejpam-5507	320	12	readily	readily	ADV
ejpam-5507	320	13	written	write	VERB
ejpam-5507	320	14	from	from	ADP
ejpam-5507	320	15	the	the	DET
ejpam-5507	320	16	marginal	marginal	ADJ
ejpam-5507	320	17	moments	moment	NOUN
ejpam-5507	320	18	by	by	ADP
ejpam-5507	320	19	replacing	replace	VERB
ejpam-5507	320	20	r	r	NOUN
ejpam-5507	320	21	with	with	ADP
ejpam-5507	320	22	−r	−r	PROPN
ejpam-5507	320	23	and	and	CCONJ
ejpam-5507	320	24	s	s	NOUN
ejpam-5507	320	25	with	with	ADP
ejpam-5507	320	26	−s	−s	NOUN
ejpam-5507	320	27	.	.	PUNCT
ejpam-5507	321	1	the	the	DET
ejpam-5507	321	2	conditional	conditional	ADJ
ejpam-5507	321	3	moments	moment	NOUN
ejpam-5507	321	4	for	for	ADP
ejpam-5507	321	5	the	the	DET
ejpam-5507	321	6	btbb	btbb	ADJ
ejpam-5507	321	7	distribution	distribution	NOUN
ejpam-5507	321	8	are	be	AUX
ejpam-5507	321	9	obtained	obtain	VERB
ejpam-5507	321	10	in	in	ADP
ejpam-5507	321	11	the	the	DET
ejpam-5507	321	12	following	follow	VERB
ejpam-5507	321	13	subsection	subsection	NOUN
ejpam-5507	321	14	.	.	PUNCT
ejpam-5507	322	1	e.	e.	PROPN
ejpam-5507	322	2	alsulami	alsulami	PROPN
ejpam-5507	322	3	,	,	PUNCT
ejpam-5507	322	4	l.	l.	PROPN
ejpam-5507	322	5	al	al	PROPN
ejpam-5507	322	6	-	-	PUNCT
ejpam-5507	322	7	turk	turk	PROPN
ejpam-5507	322	8	,	,	PUNCT
ejpam-5507	322	9	m.	m.	NOUN
ejpam-5507	322	10	q.	q.	PROPN
ejpam-5507	322	11	shahbaz	shahbaz	PROPN
ejpam-5507	322	12	/	/	SYM
ejpam-5507	322	13	eur	eur	PROPN
ejpam-5507	322	14	.	.	PUNCT
ejpam-5507	323	1	j.	j.	PROPN
ejpam-5507	323	2	pure	pure	PROPN
ejpam-5507	323	3	appl	appl	PROPN
ejpam-5507	323	4	.	.	PROPN
ejpam-5507	323	5	math	math	PROPN
ejpam-5507	323	6	,	,	PUNCT
ejpam-5507	323	7	17	17	NUM
ejpam-5507	323	8	(	(	PUNCT
ejpam-5507	323	9	4	4	NUM
ejpam-5507	323	10	)	)	PUNCT
ejpam-5507	323	11	(	(	PUNCT
ejpam-5507	323	12	2024	2024	NUM
ejpam-5507	323	13	)	)	PUNCT
ejpam-5507	323	14	,	,	PUNCT
ejpam-5507	323	15	3945	3945	NUM
ejpam-5507	323	16	-	-	SYM
ejpam-5507	323	17	3972	3972	NUM
ejpam-5507	323	18	3958	3958	NUM
ejpam-5507	323	19	6.4	6.4	NUM
ejpam-5507	323	20	.	.	PUNCT
ejpam-5507	324	1	the	the	DET
ejpam-5507	324	2	conditional	conditional	ADJ
ejpam-5507	324	3	moments	moment	NOUN
ejpam-5507	324	4	the	the	DET
ejpam-5507	324	5	rth	rth	PROPN
ejpam-5507	324	6	conditional	conditional	ADJ
ejpam-5507	324	7	moment	moment	NOUN
ejpam-5507	324	8	of	of	ADP
ejpam-5507	324	9	x1	x1	PROPN
ejpam-5507	324	10	given	give	VERB
ejpam-5507	324	11	x2	x2	PROPN
ejpam-5507	325	1	=	=	PUNCT
ejpam-5507	325	2	x2	x2	PROPN
ejpam-5507	325	3	for	for	ADP
ejpam-5507	325	4	the	the	DET
ejpam-5507	325	5	btbb	btbb	ADJ
ejpam-5507	325	6	distribution	distribution	NOUN
ejpam-5507	325	7	is	be	AUX
ejpam-5507	325	8	obtained	obtain	VERB
ejpam-5507	325	9	by	by	ADP
ejpam-5507	325	10	using	use	VERB
ejpam-5507	325	11	eq.34	eq.34	PROPN
ejpam-5507	325	12	as	as	ADP
ejpam-5507	325	13	e(xr	e(xr	PROPN
ejpam-5507	325	14	1	1	NUM
ejpam-5507	325	15	|x2	|x2	NOUN
ejpam-5507	325	16	)	)	PUNCT
ejpam-5507	325	17	=	=	SYM
ejpam-5507	326	1	∫	∫	PROPN
ejpam-5507	327	1	∞	∞	NOUN
ejpam-5507	327	2	0	0	PROPN
ejpam-5507	328	1	α(α+	α(α+	NUM
ejpam-5507	328	2	1)aβ1	1)aβ1	NUM
ejpam-5507	328	3	1	1	NUM
ejpam-5507	328	4	β2	β2	NOUN
ejpam-5507	328	5	1x	1x	PROPN
ejpam-5507	328	6	r+β1−1	r+β1−1	PROPN
ejpam-5507	328	7	1	1	NUM
ejpam-5507	328	8	(	(	PUNCT
ejpam-5507	328	9	1	1	NUM
ejpam-5507	328	10	+	+	CCONJ
ejpam-5507	328	11	xβ1	xβ1	NOUN
ejpam-5507	328	12	1	1	NUM
ejpam-5507	328	13	)	)	PUNCT
ejpam-5507	328	14	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	328	15	(	(	PUNCT
ejpam-5507	328	16	1	1	NUM
ejpam-5507	328	17	+	+	CCONJ
ejpam-5507	328	18	xβ1	xβ1	NOUN
ejpam-5507	328	19	1	1	NUM
ejpam-5507	328	20	)	)	PUNCT
ejpam-5507	328	21	−α]β1−1	−α]β1−1	NOUN
ejpam-5507	329	1	[	[	X
ejpam-5507	329	2	1	1	NUM
ejpam-5507	329	3	+	+	CCONJ
ejpam-5507	329	4	(	(	PUNCT
ejpam-5507	329	5	a2(1−	a2(1−	X
ejpam-5507	329	6	(	(	PUNCT
ejpam-5507	329	7	1	1	NUM
ejpam-5507	329	8	+	+	NUM
ejpam-5507	329	9	xβ2	xβ2	NOUN
ejpam-5507	329	10	2	2	NUM
ejpam-5507	329	11	)	)	PUNCT
ejpam-5507	329	12	−α))β2	−α))β2	ADP
ejpam-5507	329	13	]	]	PUNCT
ejpam-5507	329	14	−(α+1	−(α+1	NOUN
ejpam-5507	329	15	)	)	PUNCT
ejpam-5507	329	16	−	−	PROPN
ejpam-5507	330	1	[	[	X
ejpam-5507	330	2	∆1(x2)]−(α+1	∆1(x2)]−(α+1	NOUN
ejpam-5507	330	3	)	)	PUNCT
ejpam-5507	330	4	[	[	PUNCT
ejpam-5507	330	5	∆2(x1	∆2(x1	PROPN
ejpam-5507	330	6	,	,	PUNCT
ejpam-5507	330	7	x2	x2	PROPN
ejpam-5507	330	8	)	)	PUNCT
ejpam-5507	330	9	]	]	PUNCT
ejpam-5507	330	10	−(α+2	−(α+2	X
ejpam-5507	330	11	)	)	PUNCT
ejpam-5507	330	12	dx1	dx1	PROPN
ejpam-5507	331	1	=	=	PRON
ejpam-5507	331	2	(	(	PUNCT
ejpam-5507	331	3	α+	α+	PROPN
ejpam-5507	331	4	1)aβ1	1)aβ1	NUM
ejpam-5507	331	5	1	1	NUM
ejpam-5507	331	6	β1	β1	PROPN
ejpam-5507	332	1	[	[	X
ejpam-5507	332	2	1	1	NUM
ejpam-5507	332	3	+	+	CCONJ
ejpam-5507	332	4	(	(	PUNCT
ejpam-5507	332	5	a2(1−	a2(1−	X
ejpam-5507	332	6	(	(	PUNCT
ejpam-5507	332	7	1	1	NUM
ejpam-5507	332	8	+	+	NUM
ejpam-5507	332	9	xβ2	xβ2	NOUN
ejpam-5507	332	10	2	2	NUM
ejpam-5507	332	11	)	)	PUNCT
ejpam-5507	332	12	−α))β2	−α))β2	ADP
ejpam-5507	332	13	]	]	PUNCT
ejpam-5507	332	14	−(α+1	−(α+1	NOUN
ejpam-5507	332	15	)	)	PUNCT
ejpam-5507	332	16	−	−	PROPN
ejpam-5507	333	1	[	[	X
ejpam-5507	333	2	∆1(x2)]−(α+1	∆1(x2)]−(α+1	NOUN
ejpam-5507	333	3	)	)	PUNCT
ejpam-5507	333	4	×	×	NOUN
ejpam-5507	333	5	∫	∫	NOUN
ejpam-5507	333	6	1	1	NUM
ejpam-5507	333	7	0	0	NUM
ejpam-5507	333	8	uβ1−1[(1−	uβ1−1[(1−	PROPN
ejpam-5507	333	9	u	u	NOUN
ejpam-5507	333	10	)	)	PUNCT
ejpam-5507	333	11	−1	−1	NOUN
ejpam-5507	333	12	αβ1	αβ1	NOUN
ejpam-5507	333	13	−	−	NOUN
ejpam-5507	334	1	1]r	1]r	ADV
ejpam-5507	334	2	[	[	PUNCT
ejpam-5507	334	3	1	1	NUM
ejpam-5507	334	4	+	+	CCONJ
ejpam-5507	334	5	(	(	PUNCT
ejpam-5507	334	6	a1u	a1u	PROPN
ejpam-5507	334	7	)	)	PUNCT
ejpam-5507	334	8	β1	β1	NOUN
ejpam-5507	335	1	+	+	CCONJ
ejpam-5507	335	2	[	[	X
ejpam-5507	335	3	a2(1−	a2(1−	X
ejpam-5507	335	4	(	(	PUNCT
ejpam-5507	335	5	1	1	NUM
ejpam-5507	335	6	+	+	NUM
ejpam-5507	335	7	xβ2	xβ2	NOUN
ejpam-5507	335	8	2	2	NUM
ejpam-5507	335	9	)	)	PUNCT
ejpam-5507	335	10	−α)]β2	−α)]β2	NOUN
ejpam-5507	336	1	]	]	X
ejpam-5507	336	2	−(α+2	−(α+2	X
ejpam-5507	336	3	)	)	PUNCT
ejpam-5507	336	4	du	du	PROPN
ejpam-5507	336	5	after	after	ADP
ejpam-5507	336	6	simplification	simplification	NOUN
ejpam-5507	336	7	,	,	PUNCT
ejpam-5507	336	8	we	we	PRON
ejpam-5507	336	9	have	have	VERB
ejpam-5507	336	10	e(xr	e(xr	PROPN
ejpam-5507	336	11	1	1	NUM
ejpam-5507	336	12	|x2	|x2	NOUN
ejpam-5507	336	13	)	)	PUNCT
ejpam-5507	336	14	=	=	SYM
ejpam-5507	336	15	(	(	PUNCT
ejpam-5507	336	16	α+	α+	NOUN
ejpam-5507	336	17	1	1	X
ejpam-5507	336	18	)	)	PUNCT
ejpam-5507	336	19	aβ1	aβ1	NOUN
ejpam-5507	336	20	1	1	NUM
ejpam-5507	336	21	β1	β1	NOUN
ejpam-5507	337	1	[	[	X
ejpam-5507	337	2	1	1	NUM
ejpam-5507	337	3	+	+	CCONJ
ejpam-5507	337	4	(	(	PUNCT
ejpam-5507	337	5	a2(1−	a2(1−	X
ejpam-5507	337	6	(	(	PUNCT
ejpam-5507	337	7	1	1	NUM
ejpam-5507	337	8	+	+	NUM
ejpam-5507	337	9	xβ2	xβ2	NOUN
ejpam-5507	337	10	2	2	NUM
ejpam-5507	337	11	)	)	PUNCT
ejpam-5507	337	12	−α))β2	−α))β2	ADP
ejpam-5507	337	13	]	]	PUNCT
ejpam-5507	337	14	−(α+1	−(α+1	NOUN
ejpam-5507	337	15	)	)	PUNCT
ejpam-5507	337	16	−	−	PROPN
ejpam-5507	338	1	[	[	X
ejpam-5507	338	2	∆1(x2)]−(α+1	∆1(x2)]−(α+1	NOUN
ejpam-5507	338	3	)	)	PUNCT
ejpam-5507	339	1	∞∑	∞∑	NUM
ejpam-5507	339	2	n=0	n=0	NUM
ejpam-5507	339	3	(	(	PUNCT
ejpam-5507	339	4	−1)na	−1)na	PROPN
ejpam-5507	339	5	β1[−(α+2)−n	β1[−(α+2)−n	PROPN
ejpam-5507	339	6	]	]	X
ejpam-5507	340	1	1	1	NUM
ejpam-5507	340	2	[	[	SYM
ejpam-5507	340	3	1	1	NUM
ejpam-5507	340	4	+	+	CCONJ
ejpam-5507	340	5	[	[	X
ejpam-5507	340	6	a2(1−	a2(1−	X
ejpam-5507	340	7	(	(	PUNCT
ejpam-5507	340	8	1	1	NUM
ejpam-5507	340	9	+	+	NUM
ejpam-5507	340	10	xβ2	xβ2	NOUN
ejpam-5507	340	11	2	2	NUM
ejpam-5507	340	12	)	)	PUNCT
ejpam-5507	340	13	−α)]β2	−α)]β2	NOUN
ejpam-5507	341	1	]	]	X
ejpam-5507	341	2	n(−(α+	n(−(α+	DET
ejpam-5507	341	3	2	2	NUM
ejpam-5507	341	4	)	)	PUNCT
ejpam-5507	341	5	n	n	NOUN
ejpam-5507	341	6	)	)	PUNCT
ejpam-5507	341	7	(	(	PUNCT
ejpam-5507	341	8	r	r	NOUN
ejpam-5507	341	9	n	n	CCONJ
ejpam-5507	341	10	)	)	PUNCT
ejpam-5507	341	11	b	b	NOUN
ejpam-5507	341	12	(	(	PUNCT
ejpam-5507	341	13	β1[−(α+	β1[−(α+	NOUN
ejpam-5507	341	14	2)−	2)−	NUM
ejpam-5507	341	15	n+	n+	NUM
ejpam-5507	341	16	1	1	NUM
ejpam-5507	341	17	]	]	PUNCT
ejpam-5507	341	18	,	,	PUNCT
ejpam-5507	341	19	n−	n−	NOUN
ejpam-5507	341	20	r	r	NOUN
ejpam-5507	341	21	αβ1	αβ1	NOUN
ejpam-5507	341	22	+	+	NOUN
ejpam-5507	341	23	1	1	NUM
ejpam-5507	341	24	)	)	PUNCT
ejpam-5507	341	25	.	.	PUNCT
ejpam-5507	342	1	(	(	PUNCT
ejpam-5507	342	2	40	40	NUM
ejpam-5507	342	3	)	)	PUNCT
ejpam-5507	342	4	again	again	ADV
ejpam-5507	342	5	,	,	PUNCT
ejpam-5507	342	6	the	the	DET
ejpam-5507	342	7	sth	sth	PROPN
ejpam-5507	342	8	conditional	conditional	ADJ
ejpam-5507	342	9	moment	moment	NOUN
ejpam-5507	342	10	x2	x2	PROPN
ejpam-5507	342	11	given	give	VERB
ejpam-5507	342	12	x1	x1	PROPN
ejpam-5507	342	13	=	=	PUNCT
ejpam-5507	342	14	x1	x1	PROPN
ejpam-5507	342	15	for	for	ADP
ejpam-5507	342	16	the	the	DET
ejpam-5507	342	17	btbb	btbb	ADJ
ejpam-5507	342	18	distribution	distribution	NOUN
ejpam-5507	342	19	is	be	AUX
ejpam-5507	342	20	obtained	obtain	VERB
ejpam-5507	342	21	by	by	ADP
ejpam-5507	342	22	using	use	VERB
ejpam-5507	342	23	eq.35	eq.35	NOUN
ejpam-5507	342	24	as	as	ADP
ejpam-5507	342	25	e(xs	e(xs	PROPN
ejpam-5507	342	26	2	2	NUM
ejpam-5507	342	27	|x1	|x1	NUM
ejpam-5507	342	28	)	)	PUNCT
ejpam-5507	343	1	=	=	SYM
ejpam-5507	343	2	∫	∫	PROPN
ejpam-5507	344	1	∞	∞	PROPN
ejpam-5507	344	2	0	0	NUM
ejpam-5507	345	1	α(α+	α(α+	NUM
ejpam-5507	345	2	1)aβ2	1)aβ2	NUM
ejpam-5507	345	3	2	2	NUM
ejpam-5507	345	4	β2	β2	NOUN
ejpam-5507	345	5	2x	2x	NUM
ejpam-5507	345	6	s+β2−1	s+β2−1	VERB
ejpam-5507	345	7	2	2	NUM
ejpam-5507	345	8	(	(	PUNCT
ejpam-5507	345	9	1	1	NUM
ejpam-5507	345	10	+	+	NUM
ejpam-5507	345	11	xβ2	xβ2	NOUN
ejpam-5507	345	12	2	2	X
ejpam-5507	345	13	)	)	PUNCT
ejpam-5507	345	14	−(α+1)[1−	−(α+1)[1−	NOUN
ejpam-5507	345	15	(	(	PUNCT
ejpam-5507	345	16	1	1	NUM
ejpam-5507	345	17	+	+	NUM
ejpam-5507	345	18	xβ2	xβ2	NOUN
ejpam-5507	345	19	2	2	X
ejpam-5507	345	20	)	)	PUNCT
ejpam-5507	345	21	−α]β2−1	−α]β2−1	NOUN
ejpam-5507	346	1	[	[	X
ejpam-5507	346	2	1	1	NUM
ejpam-5507	346	3	+	+	CCONJ
ejpam-5507	346	4	(	(	PUNCT
ejpam-5507	346	5	a1(1−	a1(1−	X
ejpam-5507	346	6	(	(	PUNCT
ejpam-5507	346	7	1	1	NUM
ejpam-5507	346	8	+	+	CCONJ
ejpam-5507	346	9	xβ1	xβ1	NOUN
ejpam-5507	346	10	1	1	NUM
ejpam-5507	346	11	)	)	PUNCT
ejpam-5507	346	12	−α))β1	−α))β1	NOUN
ejpam-5507	346	13	]	]	PUNCT
ejpam-5507	346	14	−(α+1	−(α+1	NOUN
ejpam-5507	346	15	)	)	PUNCT
ejpam-5507	346	16	−	−	PROPN
ejpam-5507	347	1	[	[	X
ejpam-5507	347	2	∆1(x1)]−(α+1	∆1(x1)]−(α+1	NOUN
ejpam-5507	347	3	)	)	PUNCT
ejpam-5507	347	4	[	[	PUNCT
ejpam-5507	347	5	∆2(x1	∆2(x1	PROPN
ejpam-5507	347	6	,	,	PUNCT
ejpam-5507	347	7	x2	x2	PROPN
ejpam-5507	347	8	)	)	PUNCT
ejpam-5507	347	9	]	]	PUNCT
ejpam-5507	347	10	−(α+2	−(α+2	X
ejpam-5507	347	11	)	)	PUNCT
ejpam-5507	347	12	dx2	dx2	PROPN
ejpam-5507	347	13	=	=	SYM
ejpam-5507	347	14	(	(	PUNCT
ejpam-5507	347	15	α+	α+	X
ejpam-5507	347	16	1)aβ2	1)aβ2	NUM
ejpam-5507	347	17	2	2	NUM
ejpam-5507	347	18	β2	β2	NOUN
ejpam-5507	348	1	[	[	PUNCT
ejpam-5507	348	2	1	1	NUM
ejpam-5507	348	3	+	+	CCONJ
ejpam-5507	348	4	(	(	PUNCT
ejpam-5507	348	5	a1(1−	a1(1−	X
ejpam-5507	348	6	(	(	PUNCT
ejpam-5507	348	7	1	1	NUM
ejpam-5507	348	8	+	+	CCONJ
ejpam-5507	348	9	xβ1	xβ1	NOUN
ejpam-5507	348	10	1	1	NUM
ejpam-5507	348	11	)	)	PUNCT
ejpam-5507	348	12	−α))β1	−α))β1	NOUN
ejpam-5507	348	13	]	]	PUNCT
ejpam-5507	348	14	−(α+1	−(α+1	NOUN
ejpam-5507	348	15	)	)	PUNCT
ejpam-5507	348	16	−	−	PROPN
ejpam-5507	349	1	[	[	X
ejpam-5507	349	2	∆1(x1)]−(α+1	∆1(x1)]−(α+1	NOUN
ejpam-5507	349	3	)	)	PUNCT
ejpam-5507	349	4	∫	∫	PROPN
ejpam-5507	349	5	1	1	NUM
ejpam-5507	349	6	0	0	NUM
ejpam-5507	349	7	vβ2−1[(1−	vβ2−1[(1−	NOUN
ejpam-5507	349	8	v	v	NOUN
ejpam-5507	349	9	)	)	PUNCT
ejpam-5507	349	10	−1	−1	NOUN
ejpam-5507	349	11	αβ2	αβ2	ADJ
ejpam-5507	349	12	−	−	NOUN
ejpam-5507	349	13	1]s	1]s	NUM
ejpam-5507	349	14	[	[	PUNCT
ejpam-5507	349	15	1	1	NUM
ejpam-5507	349	16	+	+	CCONJ
ejpam-5507	349	17	(	(	PUNCT
ejpam-5507	349	18	a2v	a2v	INTJ
ejpam-5507	349	19	)	)	PUNCT
ejpam-5507	349	20	β2	β2	NOUN
ejpam-5507	350	1	+	+	CCONJ
ejpam-5507	351	1	[	[	X
ejpam-5507	351	2	a1(1−	a1(1−	X
ejpam-5507	351	3	(	(	PUNCT
ejpam-5507	351	4	1	1	NUM
ejpam-5507	351	5	+	+	NUM
ejpam-5507	351	6	xβ1	xβ1	NOUN
ejpam-5507	351	7	1	1	NUM
ejpam-5507	351	8	)	)	PUNCT
ejpam-5507	351	9	−α)]β1	−α)]β1	NOUN
ejpam-5507	352	1	]	]	X
ejpam-5507	352	2	−(α+2	−(α+2	X
ejpam-5507	352	3	)	)	PUNCT
ejpam-5507	352	4	dv	dv	PROPN
ejpam-5507	352	5	simplifying	simplify	VERB
ejpam-5507	352	6	,	,	PUNCT
ejpam-5507	352	7	the	the	DET
ejpam-5507	352	8	sth	sth	NOUN
ejpam-5507	352	9	conditional	conditional	ADJ
ejpam-5507	352	10	moment	moment	NOUN
ejpam-5507	352	11	of	of	ADP
ejpam-5507	352	12	x2	x2	PROPN
ejpam-5507	352	13	given	give	VERB
ejpam-5507	352	14	x1	x1	PROPN
ejpam-5507	353	1	=	=	PUNCT
ejpam-5507	353	2	x1	x1	PROPN
ejpam-5507	353	3	is	be	AUX
ejpam-5507	353	4	e(xs	e(xs	PROPN
ejpam-5507	353	5	2	2	NUM
ejpam-5507	353	6	|x1	|x1	NUM
ejpam-5507	353	7	)	)	PUNCT
ejpam-5507	353	8	=	=	PUNCT
ejpam-5507	353	9	(	(	PUNCT
ejpam-5507	353	10	α+	α+	NOUN
ejpam-5507	353	11	1	1	NUM
ejpam-5507	353	12	)	)	PUNCT
ejpam-5507	353	13	aβ2	aβ2	NOUN
ejpam-5507	354	1	2	2	NUM
ejpam-5507	354	2	β2	β2	NOUN
ejpam-5507	354	3	[	[	PUNCT
ejpam-5507	354	4	1	1	NUM
ejpam-5507	354	5	+	+	CCONJ
ejpam-5507	354	6	(	(	PUNCT
ejpam-5507	354	7	a1(1−	a1(1−	X
ejpam-5507	354	8	(	(	PUNCT
ejpam-5507	354	9	1	1	NUM
ejpam-5507	354	10	+	+	CCONJ
ejpam-5507	354	11	xβ1	xβ1	NOUN
ejpam-5507	354	12	1	1	NUM
ejpam-5507	354	13	)	)	PUNCT
ejpam-5507	354	14	−α))β1	−α))β1	NOUN
ejpam-5507	354	15	]	]	PUNCT
ejpam-5507	354	16	−(α+1	−(α+1	NOUN
ejpam-5507	354	17	)	)	PUNCT
ejpam-5507	354	18	−	−	PROPN
ejpam-5507	355	1	[	[	X
ejpam-5507	355	2	∆1(x1)]−(α+1	∆1(x1)]−(α+1	NOUN
ejpam-5507	355	3	)	)	PUNCT
ejpam-5507	355	4	∞∑	∞∑	NUM
ejpam-5507	355	5	n=0	n=0	NUM
ejpam-5507	355	6	(	(	PUNCT
ejpam-5507	355	7	−1)na	−1)na	PROPN
ejpam-5507	355	8	β2[−(α+2)−n	β2[−(α+2)−n	PROPN
ejpam-5507	355	9	]	]	X
ejpam-5507	355	10	2	2	NUM
ejpam-5507	355	11	[	[	SYM
ejpam-5507	355	12	1	1	NUM
ejpam-5507	355	13	+	+	CCONJ
ejpam-5507	356	1	[	[	X
ejpam-5507	356	2	a1(1−	a1(1−	X
ejpam-5507	356	3	(	(	PUNCT
ejpam-5507	356	4	1	1	NUM
ejpam-5507	356	5	+	+	NUM
ejpam-5507	356	6	xβ1	xβ1	NOUN
ejpam-5507	356	7	1	1	NUM
ejpam-5507	356	8	)	)	PUNCT
ejpam-5507	356	9	−α)]β1	−α)]β1	NOUN
ejpam-5507	357	1	]	]	X
ejpam-5507	357	2	n(−(α+	n(−(α+	DET
ejpam-5507	357	3	2	2	NUM
ejpam-5507	357	4	)	)	PUNCT
ejpam-5507	357	5	n	n	NOUN
ejpam-5507	357	6	)	)	PUNCT
ejpam-5507	357	7	(	(	PUNCT
ejpam-5507	357	8	s	s	NOUN
ejpam-5507	357	9	n	n	NOUN
ejpam-5507	357	10	)	)	PUNCT
ejpam-5507	357	11	b	b	NOUN
ejpam-5507	357	12	(	(	PUNCT
ejpam-5507	357	13	β2[−(α+	β2[−(α+	NOUN
ejpam-5507	357	14	2)−	2)−	NUM
ejpam-5507	357	15	n+	n+	ADP
ejpam-5507	357	16	1	1	NUM
ejpam-5507	357	17	]	]	PUNCT
ejpam-5507	357	18	,	,	PUNCT
ejpam-5507	357	19	n−	n−	PROPN
ejpam-5507	357	20	s	s	VERB
ejpam-5507	357	21	αβ2	αβ2	ADJ
ejpam-5507	357	22	+	+	CCONJ
ejpam-5507	357	23	1	1	NUM
ejpam-5507	357	24	)	)	PUNCT
ejpam-5507	357	25	.	.	PUNCT
ejpam-5507	358	1	(	(	PUNCT
ejpam-5507	358	2	41	41	NUM
ejpam-5507	358	3	)	)	PUNCT
ejpam-5507	358	4	the	the	DET
ejpam-5507	358	5	conditional	conditional	ADJ
ejpam-5507	358	6	moments	moment	NOUN
ejpam-5507	358	7	are	be	AUX
ejpam-5507	358	8	functions	function	NOUN
ejpam-5507	358	9	of	of	ADP
ejpam-5507	358	10	random	random	ADJ
ejpam-5507	358	11	variables	variable	NOUN
ejpam-5507	358	12	..	..	PUNCT
ejpam-5507	358	13	e.	e.	PROPN
ejpam-5507	358	14	alsulami	alsulami	PROPN
ejpam-5507	358	15	,	,	PUNCT
ejpam-5507	358	16	l.	l.	PROPN
ejpam-5507	358	17	al	al	PROPN
ejpam-5507	358	18	-	-	PUNCT
ejpam-5507	358	19	turk	turk	PROPN
ejpam-5507	358	20	,	,	PUNCT
ejpam-5507	358	21	m.	m.	NOUN
ejpam-5507	358	22	q.	q.	PROPN
ejpam-5507	358	23	shahbaz	shahbaz	PROPN
ejpam-5507	358	24	/	/	SYM
ejpam-5507	358	25	eur	eur	PROPN
ejpam-5507	358	26	.	.	PUNCT
ejpam-5507	359	1	j.	j.	PROPN
ejpam-5507	359	2	pure	pure	PROPN
ejpam-5507	359	3	appl	appl	PROPN
ejpam-5507	359	4	.	.	PROPN
ejpam-5507	359	5	math	math	PROPN
ejpam-5507	359	6	,	,	PUNCT
ejpam-5507	359	7	17	17	NUM
ejpam-5507	359	8	(	(	PUNCT
ejpam-5507	359	9	4	4	NUM
ejpam-5507	359	10	)	)	PUNCT
ejpam-5507	359	11	(	(	PUNCT
ejpam-5507	359	12	2024	2024	NUM
ejpam-5507	359	13	)	)	PUNCT
ejpam-5507	359	14	,	,	PUNCT
ejpam-5507	359	15	3945	3945	NUM
ejpam-5507	359	16	-	-	SYM
ejpam-5507	359	17	3972	3972	NUM
ejpam-5507	359	18	3959	3959	NUM
ejpam-5507	359	19	6.5	6.5	NUM
ejpam-5507	359	20	.	.	PUNCT
ejpam-5507	360	1	the	the	DET
ejpam-5507	360	2	bivariate	bivariate	ADJ
ejpam-5507	360	3	reliability	reliability	NOUN
ejpam-5507	360	4	characteristics	characteristic	NOUN
ejpam-5507	360	5	and	and	CCONJ
ejpam-5507	360	6	hazard	hazard	NOUN
ejpam-5507	360	7	rate	rate	NOUN
ejpam-5507	360	8	function	function	NOUN
ejpam-5507	360	9	using	use	VERB
ejpam-5507	360	10	eq.19	eq.19	NOUN
ejpam-5507	360	11	,	,	PUNCT
ejpam-5507	360	12	the	the	DET
ejpam-5507	360	13	brf	brf	NOUN
ejpam-5507	360	14	of	of	ADP
ejpam-5507	360	15	btbb	btbb	ADJ
ejpam-5507	360	16	distribution	distribution	NOUN
ejpam-5507	360	17	is	be	AUX
ejpam-5507	360	18	rbtbb(x1	rbtbb(x1	ADJ
ejpam-5507	360	19	,	,	PUNCT
ejpam-5507	360	20	x2	x2	PROPN
ejpam-5507	360	21	)	)	PUNCT
ejpam-5507	361	1	=	=	SYM
ejpam-5507	361	2	1−	1−	NUM
ejpam-5507	361	3	[	[	PUNCT
ejpam-5507	361	4	1−	1−	NUM
ejpam-5507	361	5	(	(	PUNCT
ejpam-5507	361	6	1	1	NUM
ejpam-5507	361	7	+	+	CCONJ
ejpam-5507	361	8	aβ1	aβ1	NOUN
ejpam-5507	361	9	1	1	NUM
ejpam-5507	361	10	)	)	PUNCT
ejpam-5507	361	11	−α	−α	NOUN
ejpam-5507	361	12	−	−	PROPN
ejpam-5507	361	13	(	(	PUNCT
ejpam-5507	361	14	1	1	NUM
ejpam-5507	361	15	+	+	CCONJ
ejpam-5507	361	16	aβ2	aβ2	NOUN
ejpam-5507	361	17	2	2	X
ejpam-5507	361	18	)	)	PUNCT
ejpam-5507	361	19	−α	−α	NOUN
ejpam-5507	361	20	γ	γ	X
ejpam-5507	361	21	]	]	PUNCT
ejpam-5507	361	22	−	−	PROPN
ejpam-5507	362	1	[	[	PUNCT
ejpam-5507	362	2	[	[	X
ejpam-5507	362	3	∆1(x1	∆1(x1	NOUN
ejpam-5507	362	4	)	)	PUNCT
ejpam-5507	362	5	]	]	PUNCT
ejpam-5507	363	1	−α	−α	NOUN
ejpam-5507	363	2	+	+	CCONJ
ejpam-5507	364	1	[	[	X
ejpam-5507	364	2	∆1(x2	∆1(x2	NOUN
ejpam-5507	364	3	)	)	PUNCT
ejpam-5507	364	4	]	]	PUNCT
ejpam-5507	364	5	−α	−α	NOUN
ejpam-5507	364	6	−	−	PROPN
ejpam-5507	365	1	[	[	X
ejpam-5507	365	2	∆2(x1	∆2(x1	PROPN
ejpam-5507	365	3	,	,	PUNCT
ejpam-5507	365	4	x2	x2	PROPN
ejpam-5507	365	5	)	)	PUNCT
ejpam-5507	365	6	]	]	PUNCT
ejpam-5507	365	7	−α	−α	PROPN
ejpam-5507	365	8	γ	γ	X
ejpam-5507	365	9	]	]	PUNCT
ejpam-5507	365	10	(	(	PUNCT
ejpam-5507	365	11	42	42	NUM
ejpam-5507	365	12	)	)	PUNCT
ejpam-5507	365	13	now	now	ADV
ejpam-5507	365	14	using	use	VERB
ejpam-5507	365	15	eqs.(29	eqs.(29	NOUN
ejpam-5507	365	16	)	)	PUNCT
ejpam-5507	365	17	and	and	CCONJ
ejpam-5507	365	18	42	42	NUM
ejpam-5507	365	19	in	in	ADP
ejpam-5507	365	20	eq.20	eq.20	PROPN
ejpam-5507	365	21	,	,	PUNCT
ejpam-5507	365	22	the	the	DET
ejpam-5507	365	23	bhrf	bhrf	NOUN
ejpam-5507	365	24	for	for	ADP
ejpam-5507	365	25	the	the	DET
ejpam-5507	365	26	btbb	btbb	ADJ
ejpam-5507	365	27	distribution	distribution	NOUN
ejpam-5507	365	28	is	be	AUX
ejpam-5507	365	29	obtained	obtain	VERB
ejpam-5507	365	30	as	as	ADP
ejpam-5507	365	31	hbtbb(x1	hbtbb(x1	NOUN
ejpam-5507	365	32	,	,	PUNCT
ejpam-5507	365	33	x2	x2	PROPN
ejpam-5507	365	34	)	)	PUNCT
ejpam-5507	366	1	=	=	PUNCT
ejpam-5507	367	1	[	[	PUNCT
ejpam-5507	367	2	α3(α+	α3(α+	PROPN
ejpam-5507	367	3	1)aβ1	1)aβ1	NUM
ejpam-5507	367	4	1	1	NUM
ejpam-5507	367	5	aβ2	aβ2	NOUN
ejpam-5507	367	6	2	2	NUM
ejpam-5507	367	7	β2	β2	NOUN
ejpam-5507	367	8	1β	1β	NUM
ejpam-5507	367	9	2	2	NUM
ejpam-5507	367	10	2x	2x	NOUN
ejpam-5507	367	11	β1−1	β1−1	NUM
ejpam-5507	367	12	1	1	NUM
ejpam-5507	367	13	xβ2−1	xβ2−1	NOUN
ejpam-5507	367	14	2	2	NUM
ejpam-5507	367	15	(	(	PUNCT
ejpam-5507	367	16	1	1	NUM
ejpam-5507	367	17	+	+	CCONJ
ejpam-5507	367	18	xβ1	xβ1	NOUN
ejpam-5507	367	19	1	1	X
ejpam-5507	367	20	)	)	PUNCT
ejpam-5507	367	21	−(α+1)(1	−(α+1)(1	NOUN
ejpam-5507	367	22	+	+	CCONJ
ejpam-5507	367	23	xβ2	xβ2	NOUN
ejpam-5507	367	24	2	2	NUM
ejpam-5507	367	25	)	)	PUNCT
ejpam-5507	367	26	−(α+1	−(α+1	NOUN
ejpam-5507	367	27	)	)	PUNCT
ejpam-5507	367	28	γ	γ	X
ejpam-5507	367	29	]	]	X
ejpam-5507	367	30	×	×	PROPN
ejpam-5507	367	31	[	[	PUNCT
ejpam-5507	367	32	1−	1−	NUM
ejpam-5507	367	33	(	(	PUNCT
ejpam-5507	367	34	1	1	NUM
ejpam-5507	367	35	+	+	CCONJ
ejpam-5507	367	36	xβ1	xβ1	NOUN
ejpam-5507	367	37	1	1	X
ejpam-5507	367	38	)	)	PUNCT
ejpam-5507	367	39	−α]β1−1[1−	−α]β1−1[1−	PROPN
ejpam-5507	367	40	(	(	PUNCT
ejpam-5507	367	41	1	1	NUM
ejpam-5507	367	42	+	+	NUM
ejpam-5507	367	43	xβ2	xβ2	NOUN
ejpam-5507	367	44	2	2	X
ejpam-5507	367	45	)	)	PUNCT
ejpam-5507	367	46	−α]β2−1∆2(x1	−α]β2−1∆2(x1	PROPN
ejpam-5507	367	47	,	,	PUNCT
ejpam-5507	367	48	x2	x2	PROPN
ejpam-5507	367	49	)	)	PUNCT
ejpam-5507	367	50	−(α+2	−(α+2	VERB
ejpam-5507	367	51	)	)	PUNCT
ejpam-5507	367	52	]	]	PUNCT
ejpam-5507	368	1	×	×	PROPN
ejpam-5507	368	2	[	[	PUNCT
ejpam-5507	368	3	1−	1−	NUM
ejpam-5507	368	4	[	[	PUNCT
ejpam-5507	368	5	1−	1−	NUM
ejpam-5507	368	6	(	(	PUNCT
ejpam-5507	368	7	1	1	NUM
ejpam-5507	368	8	+	+	CCONJ
ejpam-5507	368	9	aβ1	aβ1	NOUN
ejpam-5507	368	10	1	1	NUM
ejpam-5507	368	11	)	)	PUNCT
ejpam-5507	368	12	−α	−α	NOUN
ejpam-5507	368	13	−	−	PROPN
ejpam-5507	368	14	(	(	PUNCT
ejpam-5507	368	15	1	1	NUM
ejpam-5507	368	16	+	+	CCONJ
ejpam-5507	368	17	aβ2	aβ2	NOUN
ejpam-5507	368	18	2	2	X
ejpam-5507	368	19	)	)	PUNCT
ejpam-5507	368	20	−α	−α	NOUN
ejpam-5507	368	21	γ	γ	X
ejpam-5507	368	22	]	]	PUNCT
ejpam-5507	368	23	−	−	PROPN
ejpam-5507	368	24	[	[	PUNCT
ejpam-5507	368	25	[	[	X
ejpam-5507	368	26	∆1(x1	∆1(x1	NOUN
ejpam-5507	368	27	)	)	PUNCT
ejpam-5507	368	28	]	]	PUNCT
ejpam-5507	369	1	−α	−α	NOUN
ejpam-5507	369	2	+	+	CCONJ
ejpam-5507	370	1	[	[	X
ejpam-5507	370	2	∆1(x2	∆1(x2	NOUN
ejpam-5507	370	3	)	)	PUNCT
ejpam-5507	370	4	]	]	PUNCT
ejpam-5507	370	5	−α	−α	NOUN
ejpam-5507	370	6	−	−	PROPN
ejpam-5507	371	1	[	[	X
ejpam-5507	371	2	∆2(x1	∆2(x1	PROPN
ejpam-5507	371	3	,	,	PUNCT
ejpam-5507	371	4	x2	x2	PROPN
ejpam-5507	371	5	)	)	PUNCT
ejpam-5507	371	6	]	]	PUNCT
ejpam-5507	371	7	−α	−α	PROPN
ejpam-5507	371	8	γ	γ	X
ejpam-5507	371	9	]	]	X
ejpam-5507	371	10	]	]	X
ejpam-5507	371	11	−1	−1	NOUN
ejpam-5507	371	12	.	.	PUNCT
ejpam-5507	372	1	(	(	PUNCT
ejpam-5507	372	2	43	43	NUM
ejpam-5507	372	3	)	)	PUNCT
ejpam-5507	372	4	where	where	SCONJ
ejpam-5507	372	5	γ	γ	X
ejpam-5507	372	6	,	,	PUNCT
ejpam-5507	372	7	∆1(x1	∆1(x1	PROPN
ejpam-5507	372	8	)	)	PUNCT
ejpam-5507	372	9	,	,	PUNCT
ejpam-5507	372	10	∆1(x2	∆1(x2	PROPN
ejpam-5507	372	11	)	)	PUNCT
ejpam-5507	372	12	and	and	CCONJ
ejpam-5507	372	13	∆2(x1	∆2(x1	PROPN
ejpam-5507	372	14	,	,	PUNCT
ejpam-5507	372	15	x2	x2	PROPN
ejpam-5507	372	16	)	)	PUNCT
ejpam-5507	372	17	are	be	AUX
ejpam-5507	372	18	defined	define	VERB
ejpam-5507	372	19	earlier	early	ADV
ejpam-5507	372	20	.	.	PUNCT
ejpam-5507	373	1	table	table	NOUN
ejpam-5507	373	2	2	2	NUM
ejpam-5507	373	3	contains	contain	VERB
ejpam-5507	373	4	graphs	graph	NOUN
ejpam-5507	373	5	of	of	ADP
ejpam-5507	373	6	the	the	DET
ejpam-5507	373	7	hazard	hazard	NOUN
ejpam-5507	373	8	rate	rate	NOUN
ejpam-5507	373	9	function	function	NOUN
ejpam-5507	373	10	for	for	ADP
ejpam-5507	373	11	different	different	ADJ
ejpam-5507	373	12	values	value	NOUN
ejpam-5507	373	13	of	of	ADP
ejpam-5507	373	14	the	the	DET
ejpam-5507	373	15	parameters	parameter	NOUN
ejpam-5507	373	16	.	.	PUNCT
ejpam-5507	374	1	the	the	DET
ejpam-5507	374	2	graph	graph	NOUN
ejpam-5507	374	3	indicate	indicate	VERB
ejpam-5507	374	4	that	that	SCONJ
ejpam-5507	374	5	the	the	DET
ejpam-5507	374	6	hrf	hrf	PROPN
ejpam-5507	374	7	diminishes	diminish	VERB
ejpam-5507	374	8	with	with	ADP
ejpam-5507	374	9	decreases	decrease	NOUN
ejpam-5507	374	10	in	in	ADP
ejpam-5507	374	11	α	α	NOUN
ejpam-5507	374	12	,	,	PUNCT
ejpam-5507	374	13	a1	a1	NOUN
ejpam-5507	374	14	,	,	PUNCT
ejpam-5507	374	15	and	and	CCONJ
ejpam-5507	374	16	a2	a2	PROPN
ejpam-5507	374	17	.	.	PUNCT
ejpam-5507	375	1	conversely	conversely	ADV
ejpam-5507	375	2	,	,	PUNCT
ejpam-5507	375	3	increasing	increase	VERB
ejpam-5507	375	4	these	these	DET
ejpam-5507	375	5	parameters	parameter	NOUN
ejpam-5507	375	6	results	result	VERB
ejpam-5507	375	7	in	in	ADP
ejpam-5507	375	8	an	an	DET
ejpam-5507	375	9	elevation	elevation	NOUN
ejpam-5507	375	10	of	of	ADP
ejpam-5507	375	11	the	the	DET
ejpam-5507	375	12	hrf	hrf	PROPN
ejpam-5507	375	13	.	.	PUNCT
ejpam-5507	376	1	e.	e.	PROPN
ejpam-5507	376	2	alsulami	alsulami	PROPN
ejpam-5507	376	3	,	,	PUNCT
ejpam-5507	376	4	l.	l.	PROPN
ejpam-5507	376	5	al	al	PROPN
ejpam-5507	376	6	-	-	PUNCT
ejpam-5507	376	7	turk	turk	PROPN
ejpam-5507	376	8	,	,	PUNCT
ejpam-5507	376	9	m.	m.	NOUN
ejpam-5507	376	10	q.	q.	PROPN
ejpam-5507	376	11	shahbaz	shahbaz	PROPN
ejpam-5507	376	12	/	/	SYM
ejpam-5507	376	13	eur	eur	PROPN
ejpam-5507	376	14	.	.	PUNCT
ejpam-5507	377	1	j.	j.	PROPN
ejpam-5507	377	2	pure	pure	PROPN
ejpam-5507	377	3	appl	appl	PROPN
ejpam-5507	377	4	.	.	PROPN
ejpam-5507	377	5	math	math	PROPN
ejpam-5507	377	6	,	,	PUNCT
ejpam-5507	377	7	17	17	NUM
ejpam-5507	377	8	(	(	PUNCT
ejpam-5507	377	9	4	4	NUM
ejpam-5507	377	10	)	)	PUNCT
ejpam-5507	377	11	(	(	PUNCT
ejpam-5507	377	12	2024	2024	NUM
ejpam-5507	377	13	)	)	PUNCT
ejpam-5507	377	14	,	,	PUNCT
ejpam-5507	377	15	3945	3945	NUM
ejpam-5507	377	16	-	-	SYM
ejpam-5507	377	17	3972	3972	NUM
ejpam-5507	377	18	3960	3960	NUM
ejpam-5507	377	19	table	table	NOUN
ejpam-5507	377	20	2	2	NUM
ejpam-5507	377	21	:	:	PUNCT
ejpam-5507	377	22	bivariate	bivariate	ADJ
ejpam-5507	377	23	hazard	hazard	NOUN
ejpam-5507	377	24	rate	rate	NOUN
ejpam-5507	377	25	function	function	NOUN
ejpam-5507	377	26	for	for	ADP
ejpam-5507	377	27	btbb	btbb	ADJ
ejpam-5507	377	28	distribution	distribution	NOUN
ejpam-5507	377	29	α=0.25	α=0.25	NOUN
ejpam-5507	377	30	,	,	PUNCT
ejpam-5507	377	31	β1=2	β1=2	PROPN
ejpam-5507	377	32	,	,	PUNCT
ejpam-5507	377	33	β2=2.5	β2=2.5	PROPN
ejpam-5507	377	34	,	,	PUNCT
ejpam-5507	377	35	a1=2	a1=2	PROPN
ejpam-5507	377	36	,	,	PUNCT
ejpam-5507	377	37	a2=3	a2=3	NOUN
ejpam-5507	377	38	α=0.25	α=0.25	NOUN
ejpam-5507	377	39	,	,	PUNCT
ejpam-5507	377	40	β1=2	β1=2	PROPN
ejpam-5507	377	41	,	,	PUNCT
ejpam-5507	377	42	β2=2.5	β2=2.5	PRON
ejpam-5507	377	43	,	,	PUNCT
ejpam-5507	377	44	a1=5	a1=5	PROPN
ejpam-5507	377	45	,	,	PUNCT
ejpam-5507	377	46	a2=6	a2=6	PROPN
ejpam-5507	377	47	α=0.5	α=0.5	NOUN
ejpam-5507	377	48	,	,	PUNCT
ejpam-5507	377	49	β1=3,β2=3,a1=2	β1=3,β2=3,a1=2	ADV
ejpam-5507	377	50	,	,	PUNCT
ejpam-5507	377	51	a2=3	a2=3	X
ejpam-5507	377	52	α=0.5	α=0.5	NOUN
ejpam-5507	377	53	,	,	PUNCT
ejpam-5507	377	54	β1=3,β2=3,a1=5	β1=3,β2=3,a1=5	PROPN
ejpam-5507	377	55	,	,	PUNCT
ejpam-5507	377	56	a2=6	a2=6	PROPN
ejpam-5507	377	57	α=0.75	α=0.75	NOUN
ejpam-5507	377	58	,	,	PUNCT
ejpam-5507	377	59	β1=1.5,β2=2,a1=2	β1=1.5,β2=2,a1=2	PROPN
ejpam-5507	377	60	,	,	PUNCT
ejpam-5507	377	61	a2=3	a2=3	X
ejpam-5507	377	62	α=0.75	α=0.75	X
ejpam-5507	377	63	,	,	PUNCT
ejpam-5507	377	64	β1=1.5,β2=2,a1=5	β1=1.5,β2=2,a1=5	PROPN
ejpam-5507	377	65	,	,	PUNCT
ejpam-5507	377	66	a2=6	a2=6	PROPN
ejpam-5507	377	67	e.	e.	PROPN
ejpam-5507	377	68	alsulami	alsulami	PROPN
ejpam-5507	377	69	,	,	PUNCT
ejpam-5507	377	70	l.	l.	PROPN
ejpam-5507	377	71	al	al	PROPN
ejpam-5507	377	72	-	-	PUNCT
ejpam-5507	377	73	turk	turk	PROPN
ejpam-5507	377	74	,	,	PUNCT
ejpam-5507	377	75	m.	m.	NOUN
ejpam-5507	377	76	q.	q.	PROPN
ejpam-5507	377	77	shahbaz	shahbaz	PROPN
ejpam-5507	377	78	/	/	SYM
ejpam-5507	377	79	eur	eur	PROPN
ejpam-5507	377	80	.	.	PUNCT
ejpam-5507	378	1	j.	j.	PROPN
ejpam-5507	378	2	pure	pure	PROPN
ejpam-5507	378	3	appl	appl	PROPN
ejpam-5507	378	4	.	.	PROPN
ejpam-5507	378	5	math	math	PROPN
ejpam-5507	378	6	,	,	PUNCT
ejpam-5507	378	7	17	17	NUM
ejpam-5507	378	8	(	(	PUNCT
ejpam-5507	378	9	4	4	NUM
ejpam-5507	378	10	)	)	PUNCT
ejpam-5507	378	11	(	(	PUNCT
ejpam-5507	378	12	2024	2024	NUM
ejpam-5507	378	13	)	)	PUNCT
ejpam-5507	378	14	,	,	PUNCT
ejpam-5507	378	15	3945	3945	NUM
ejpam-5507	378	16	-	-	SYM
ejpam-5507	378	17	3972	3972	NUM
ejpam-5507	378	18	3961	3961	NUM
ejpam-5507	378	19	6.6	6.6	NUM
ejpam-5507	378	20	.	.	PUNCT
ejpam-5507	379	1	maximum	maximum	ADJ
ejpam-5507	379	2	likelihood	likelihood	NOUN
ejpam-5507	379	3	estimation	estimation	NOUN
ejpam-5507	379	4	this	this	DET
ejpam-5507	379	5	subsection	subsection	NOUN
ejpam-5507	379	6	contains	contain	VERB
ejpam-5507	379	7	the	the	DET
ejpam-5507	379	8	maximum	maximum	ADJ
ejpam-5507	379	9	likelihood	likelihood	NOUN
ejpam-5507	379	10	estimation	estimation	NOUN
ejpam-5507	379	11	for	for	ADP
ejpam-5507	379	12	the	the	DET
ejpam-5507	379	13	parameters	parameter	NOUN
ejpam-5507	379	14	of	of	ADP
ejpam-5507	379	15	the	the	DET
ejpam-5507	379	16	btbb	btbb	ADJ
ejpam-5507	379	17	distribution	distribution	NOUN
ejpam-5507	379	18	.	.	PUNCT
ejpam-5507	380	1	let	let	VERB
ejpam-5507	380	2	x1	x1	NUM
ejpam-5507	380	3	,	,	PUNCT
ejpam-5507	380	4	x2	x2	PROPN
ejpam-5507	380	5	,	,	PUNCT
ejpam-5507	380	6	...	...	PUNCT
ejpam-5507	380	7	,	,	PUNCT
ejpam-5507	380	8	xn	xn	PROPN
ejpam-5507	380	9	represent	represent	VERB
ejpam-5507	380	10	a	a	DET
ejpam-5507	380	11	size	size	NOUN
ejpam-5507	380	12	-	-	PUNCT
ejpam-5507	380	13	n	n	CCONJ
ejpam-5507	380	14	random	random	ADJ
ejpam-5507	380	15	sample	sample	NOUN
ejpam-5507	380	16	from	from	ADP
ejpam-5507	380	17	the	the	DET
ejpam-5507	380	18	btbb	btbb	ADJ
ejpam-5507	380	19	distribution	distribution	NOUN
ejpam-5507	380	20	.	.	PUNCT
ejpam-5507	381	1	the	the	DET
ejpam-5507	381	2	likelihood	likelihood	NOUN
ejpam-5507	381	3	function	function	NOUN
ejpam-5507	381	4	is	be	AUX
ejpam-5507	381	5	lh	lh	PROPN
ejpam-5507	381	6	=	=	NOUN
ejpam-5507	381	7	αn(α+	αn(α+	NOUN
ejpam-5507	381	8	1)nanβ1	1)nanβ1	NUM
ejpam-5507	381	9	1	1	NUM
ejpam-5507	381	10	anβ2	anβ2	NOUN
ejpam-5507	381	11	2	2	NUM
ejpam-5507	381	12	βn	βn	NOUN
ejpam-5507	381	13	1	1	NUM
ejpam-5507	381	14	β	β	NOUN
ejpam-5507	381	15	n	n	PRON
ejpam-5507	381	16	2	2	NUM
ejpam-5507	381	17	[	[	PUNCT
ejpam-5507	381	18	1−	1−	NUM
ejpam-5507	381	19	(	(	PUNCT
ejpam-5507	381	20	1	1	NUM
ejpam-5507	381	21	+	+	CCONJ
ejpam-5507	381	22	aβ1	aβ1	NOUN
ejpam-5507	381	23	1	1	NUM
ejpam-5507	381	24	)	)	PUNCT
ejpam-5507	381	25	−α	−α	NOUN
ejpam-5507	381	26	−	−	PROPN
ejpam-5507	381	27	(	(	PUNCT
ejpam-5507	381	28	1	1	NUM
ejpam-5507	381	29	+	+	CCONJ
ejpam-5507	381	30	aβ2	aβ2	NOUN
ejpam-5507	381	31	2	2	X
ejpam-5507	381	32	)	)	PUNCT
ejpam-5507	381	33	−α	−α	NOUN
ejpam-5507	382	1	+	+	CCONJ
ejpam-5507	382	2	(	(	PUNCT
ejpam-5507	382	3	1	1	NUM
ejpam-5507	382	4	+	+	CCONJ
ejpam-5507	382	5	aβ1	aβ1	NOUN
ejpam-5507	382	6	1	1	NUM
ejpam-5507	382	7	+	+	CCONJ
ejpam-5507	382	8	aβ2	aβ2	NOUN
ejpam-5507	382	9	2	2	NUM
ejpam-5507	382	10	)	)	PUNCT
ejpam-5507	382	11	−α	−α	NOUN
ejpam-5507	382	12	]	]	PUNCT
ejpam-5507	382	13	−n	−n	PROPN
ejpam-5507	382	14	×	×	PROPN
ejpam-5507	382	15	n∏	n∏	PROPN
ejpam-5507	382	16	i=1	i=1	PROPN
ejpam-5507	383	1	[	[	PUNCT
ejpam-5507	383	2	αβ1x	αβ1x	NOUN
ejpam-5507	383	3	(	(	PUNCT
ejpam-5507	383	4	β1−1	β1−1	NOUN
ejpam-5507	383	5	)	)	PUNCT
ejpam-5507	383	6	1	1	NUM
ejpam-5507	383	7	(	(	PUNCT
ejpam-5507	383	8	1	1	NUM
ejpam-5507	383	9	+	+	CCONJ
ejpam-5507	383	10	xβ1	xβ1	NOUN
ejpam-5507	383	11	1	1	NUM
ejpam-5507	383	12	)	)	PUNCT
ejpam-5507	383	13	−(α+1	−(α+1	NOUN
ejpam-5507	383	14	)	)	PUNCT
ejpam-5507	383	15	]	]	PUNCT
ejpam-5507	384	1	n∏	n∏	NOUN
ejpam-5507	384	2	i=1	i=1	X
ejpam-5507	385	1	[	[	PUNCT
ejpam-5507	385	2	αβ2x	αβ2x	PROPN
ejpam-5507	385	3	(	(	PUNCT
ejpam-5507	385	4	β2−1	β2−1	NOUN
ejpam-5507	385	5	)	)	PUNCT
ejpam-5507	385	6	2	2	NUM
ejpam-5507	385	7	(	(	PUNCT
ejpam-5507	385	8	1	1	NUM
ejpam-5507	385	9	+	+	NUM
ejpam-5507	385	10	xβ2	xβ2	NOUN
ejpam-5507	385	11	2	2	NUM
ejpam-5507	385	12	)	)	PUNCT
ejpam-5507	385	13	−(α+1	−(α+1	NOUN
ejpam-5507	385	14	)	)	PUNCT
ejpam-5507	385	15	]	]	PUNCT
ejpam-5507	386	1	×	×	PROPN
ejpam-5507	386	2	n∏	n∏	PROPN
ejpam-5507	386	3	i=1	i=1	X
ejpam-5507	387	1	[	[	PUNCT
ejpam-5507	387	2	1−	1−	NUM
ejpam-5507	387	3	(	(	PUNCT
ejpam-5507	387	4	1	1	NUM
ejpam-5507	387	5	+	+	CCONJ
ejpam-5507	387	6	xβ1	xβ1	NOUN
ejpam-5507	387	7	1	1	X
ejpam-5507	387	8	)	)	PUNCT
ejpam-5507	387	9	−α	−α	NOUN
ejpam-5507	387	10	]	]	PUNCT
ejpam-5507	387	11	β1−1	β1−1	PUNCT
ejpam-5507	387	12	n∏	n∏	PROPN
ejpam-5507	387	13	i=1	i=1	PROPN
ejpam-5507	388	1	[	[	PUNCT
ejpam-5507	388	2	1−	1−	NUM
ejpam-5507	388	3	(	(	PUNCT
ejpam-5507	388	4	1	1	NUM
ejpam-5507	388	5	+	+	NUM
ejpam-5507	388	6	xβ2	xβ2	NOUN
ejpam-5507	388	7	2	2	X
ejpam-5507	388	8	)	)	PUNCT
ejpam-5507	388	9	−α	−α	NOUN
ejpam-5507	388	10	]	]	PUNCT
ejpam-5507	388	11	β2−1	β2−1	ADP
ejpam-5507	388	12	×	×	PROPN
ejpam-5507	388	13	n∏	n∏	PROPN
ejpam-5507	388	14	i=1	i=1	X
ejpam-5507	389	1	[	[	PUNCT
ejpam-5507	389	2	1	1	NUM
ejpam-5507	389	3	+	+	CCONJ
ejpam-5507	389	4	(	(	PUNCT
ejpam-5507	389	5	a1(1−	a1(1−	X
ejpam-5507	389	6	(	(	PUNCT
ejpam-5507	389	7	1	1	NUM
ejpam-5507	389	8	+	+	NUM
ejpam-5507	389	9	xβ1	xβ1	NOUN
ejpam-5507	389	10	1	1	NUM
ejpam-5507	389	11	)	)	PUNCT
ejpam-5507	389	12	−α)β1	−α)β1	NOUN
ejpam-5507	390	1	+	+	CCONJ
ejpam-5507	390	2	(	(	PUNCT
ejpam-5507	390	3	a2(1−	a2(1−	X
ejpam-5507	390	4	(	(	PUNCT
ejpam-5507	390	5	1	1	NUM
ejpam-5507	390	6	+	+	NUM
ejpam-5507	390	7	xβ2	xβ2	NOUN
ejpam-5507	390	8	2	2	NUM
ejpam-5507	390	9	)	)	PUNCT
ejpam-5507	390	10	−α)β2	−α)β2	NOUN
ejpam-5507	390	11	]	]	X
ejpam-5507	390	12	−(α+2	−(α+2	VERB
ejpam-5507	390	13	)	)	PUNCT
ejpam-5507	390	14	.	.	PUNCT
ejpam-5507	391	1	(	(	PUNCT
ejpam-5507	391	2	44	44	NUM
ejpam-5507	391	3	)	)	PUNCT
ejpam-5507	391	4	the	the	DET
ejpam-5507	391	5	log	log	NOUN
ejpam-5507	391	6	of	of	ADP
ejpam-5507	391	7	likelihood	likelihood	NOUN
ejpam-5507	391	8	function	function	NOUN
ejpam-5507	391	9	is	be	AUX
ejpam-5507	391	10	l	l	NOUN
ejpam-5507	391	11	=	=	NOUN
ejpam-5507	391	12	3n	3n	NUM
ejpam-5507	391	13	ln(α	ln(α	NOUN
ejpam-5507	391	14	)	)	PUNCT
ejpam-5507	392	1	+	+	CCONJ
ejpam-5507	392	2	n	n	CCONJ
ejpam-5507	392	3	ln(α+	ln(α+	NOUN
ejpam-5507	392	4	1	1	NUM
ejpam-5507	392	5	)	)	PUNCT
ejpam-5507	392	6	+	+	CCONJ
ejpam-5507	392	7	nβ1	nβ1	NUM
ejpam-5507	392	8	ln(a1	ln(a1	NOUN
ejpam-5507	392	9	)	)	PUNCT
ejpam-5507	393	1	+	+	CCONJ
ejpam-5507	393	2	nβ2	nβ2	ADV
ejpam-5507	393	3	ln(a2	ln(a2	ADJ
ejpam-5507	393	4	)	)	PUNCT
ejpam-5507	394	1	+	+	CCONJ
ejpam-5507	394	2	2n	2n	NUM
ejpam-5507	394	3	ln(β1	ln(β1	NOUN
ejpam-5507	394	4	)	)	PUNCT
ejpam-5507	395	1	+	+	CCONJ
ejpam-5507	395	2	2n	2n	NUM
ejpam-5507	395	3	ln(β2	ln(β2	NOUN
ejpam-5507	395	4	)	)	PUNCT
ejpam-5507	395	5	−n	−n	ADV
ejpam-5507	395	6	ln	ln	NOUN
ejpam-5507	396	1	[	[	PUNCT
ejpam-5507	396	2	1−	1−	NUM
ejpam-5507	396	3	(	(	PUNCT
ejpam-5507	396	4	1	1	NUM
ejpam-5507	396	5	+	+	CCONJ
ejpam-5507	396	6	aβ1	aβ1	NOUN
ejpam-5507	396	7	1	1	NUM
ejpam-5507	396	8	)	)	PUNCT
ejpam-5507	396	9	−α	−α	NOUN
ejpam-5507	396	10	−	−	PROPN
ejpam-5507	396	11	(	(	PUNCT
ejpam-5507	396	12	1	1	NUM
ejpam-5507	396	13	+	+	CCONJ
ejpam-5507	396	14	aβ2	aβ2	NOUN
ejpam-5507	396	15	2	2	X
ejpam-5507	396	16	)	)	PUNCT
ejpam-5507	396	17	−α	−α	NOUN
ejpam-5507	396	18	+	+	CCONJ
ejpam-5507	396	19	(	(	PUNCT
ejpam-5507	396	20	1	1	NUM
ejpam-5507	396	21	+	+	CCONJ
ejpam-5507	396	22	aβ1	aβ1	NOUN
ejpam-5507	396	23	1	1	NUM
ejpam-5507	396	24	+	+	CCONJ
ejpam-5507	396	25	aβ2	aβ2	NOUN
ejpam-5507	396	26	2	2	NUM
ejpam-5507	396	27	)	)	PUNCT
ejpam-5507	396	28	−α	−α	NOUN
ejpam-5507	396	29	]	]	PUNCT
ejpam-5507	397	1	+	+	PROPN
ejpam-5507	397	2	(	(	PUNCT
ejpam-5507	397	3	β1	β1	VERB
ejpam-5507	397	4	−	−	NOUN
ejpam-5507	397	5	1	1	NUM
ejpam-5507	397	6	)	)	PUNCT
ejpam-5507	397	7	n∑	n∑	NOUN
ejpam-5507	397	8	i=1	i=1	PROPN
ejpam-5507	397	9	ln(x1i	ln(x1i	NOUN
ejpam-5507	397	10	)	)	PUNCT
ejpam-5507	398	1	+	+	CCONJ
ejpam-5507	398	2	(	(	PUNCT
ejpam-5507	398	3	β2	β2	VERB
ejpam-5507	398	4	−	−	PROPN
ejpam-5507	398	5	1	1	NUM
ejpam-5507	398	6	)	)	PUNCT
ejpam-5507	398	7	n∑	n∑	NOUN
ejpam-5507	399	1	i=1	i=1	PROPN
ejpam-5507	400	1	ln(x2i)−	ln(x2i)−	PROPN
ejpam-5507	400	2	(	(	PUNCT
ejpam-5507	400	3	α+	α+	NOUN
ejpam-5507	400	4	1	1	NUM
ejpam-5507	400	5	)	)	PUNCT
ejpam-5507	400	6	n∑	n∑	NOUN
ejpam-5507	400	7	i=1	i=1	PROPN
ejpam-5507	401	1	ln(1	ln(1	NOUN
ejpam-5507	401	2	+	+	NUM
ejpam-5507	401	3	xβ1	xβ1	PROPN
ejpam-5507	401	4	1i	1i	NOUN
ejpam-5507	401	5	)	)	PUNCT
ejpam-5507	402	1	−(α+	−(α+	DET
ejpam-5507	402	2	1	1	X
ejpam-5507	402	3	)	)	PUNCT
ejpam-5507	402	4	n∑	n∑	NOUN
ejpam-5507	402	5	i=1	i=1	PROPN
ejpam-5507	403	1	ln(1	ln(1	PROPN
ejpam-5507	403	2	+	+	NUM
ejpam-5507	403	3	xβ2	xβ2	PROPN
ejpam-5507	403	4	2i	2i	NUM
ejpam-5507	403	5	)	)	PUNCT
ejpam-5507	404	1	+	+	CCONJ
ejpam-5507	404	2	(	(	PUNCT
ejpam-5507	404	3	β1	β1	VERB
ejpam-5507	404	4	−	−	NOUN
ejpam-5507	404	5	1	1	NUM
ejpam-5507	404	6	)	)	PUNCT
ejpam-5507	404	7	n∑	n∑	NOUN
ejpam-5507	404	8	i=1	i=1	PROPN
ejpam-5507	405	1	ln(1−	ln(1−	ADJ
ejpam-5507	405	2	(	(	PUNCT
ejpam-5507	405	3	1	1	NUM
ejpam-5507	405	4	+	+	NUM
ejpam-5507	405	5	xβ1	xβ1	ADJ
ejpam-5507	405	6	1i	1i	NOUN
ejpam-5507	405	7	)	)	PUNCT
ejpam-5507	405	8	−α	−α	NOUN
ejpam-5507	405	9	)	)	PUNCT
ejpam-5507	406	1	+	+	PROPN
ejpam-5507	406	2	(	(	PUNCT
ejpam-5507	406	3	β2	β2	VERB
ejpam-5507	406	4	−	−	NOUN
ejpam-5507	406	5	1	1	NUM
ejpam-5507	406	6	)	)	PUNCT
ejpam-5507	406	7	n∑	n∑	NOUN
ejpam-5507	406	8	i=1	i=1	PROPN
ejpam-5507	407	1	ln(1−	ln(1−	ADJ
ejpam-5507	407	2	(	(	PUNCT
ejpam-5507	407	3	1	1	NUM
ejpam-5507	407	4	+	+	NUM
ejpam-5507	407	5	xβ2	xβ2	PROPN
ejpam-5507	407	6	2i	2i	NUM
ejpam-5507	407	7	)	)	PUNCT
ejpam-5507	407	8	−α)−	−α)−	NOUN
ejpam-5507	407	9	(	(	PUNCT
ejpam-5507	407	10	α+	α+	NOUN
ejpam-5507	407	11	2	2	NUM
ejpam-5507	407	12	)	)	PUNCT
ejpam-5507	407	13	n∑	n∑	NOUN
ejpam-5507	408	1	i=1	i=1	PROPN
ejpam-5507	409	1	ln	ln	X
ejpam-5507	410	1	[	[	PUNCT
ejpam-5507	410	2	∆(x1	∆(x1	ADJ
ejpam-5507	410	3	,	,	PUNCT
ejpam-5507	410	4	x2	x2	PROPN
ejpam-5507	410	5	)	)	PUNCT
ejpam-5507	410	6	]	]	PUNCT
ejpam-5507	411	1	(	(	PUNCT
ejpam-5507	411	2	45	45	NUM
ejpam-5507	411	3	)	)	PUNCT
ejpam-5507	411	4	by	by	ADP
ejpam-5507	411	5	maximizing	maximize	VERB
ejpam-5507	411	6	the	the	DET
ejpam-5507	411	7	log	log	NOUN
ejpam-5507	411	8	-	-	PUNCT
ejpam-5507	411	9	likelihood	likelihood	NOUN
ejpam-5507	411	10	function	function	NOUN
ejpam-5507	411	11	in	in	ADP
ejpam-5507	411	12	eq	eq	ADP
ejpam-5507	411	13	.	.	PUNCT
ejpam-5507	412	1	(	(	PUNCT
ejpam-5507	412	2	45	45	NUM
ejpam-5507	412	3	)	)	PUNCT
ejpam-5507	412	4	,	,	PUNCT
ejpam-5507	412	5	the	the	DET
ejpam-5507	412	6	mles	mle	NOUN
ejpam-5507	412	7	of	of	ADP
ejpam-5507	412	8	α	α	PROPN
ejpam-5507	412	9	,	,	PUNCT
ejpam-5507	412	10	a1	a1	NOUN
ejpam-5507	412	11	,	,	PUNCT
ejpam-5507	412	12	a2	a2	PROPN
ejpam-5507	412	13	,	,	PUNCT
ejpam-5507	412	14	β1	β1	PROPN
ejpam-5507	412	15	,	,	PUNCT
ejpam-5507	412	16	and	and	CCONJ
ejpam-5507	412	17	β2	β2	NOUN
ejpam-5507	412	18	are	be	AUX
ejpam-5507	412	19	found	find	VERB
ejpam-5507	412	20	.	.	PUNCT
ejpam-5507	413	1	the	the	DET
ejpam-5507	413	2	derivatives	derivative	NOUN
ejpam-5507	413	3	of	of	ADP
ejpam-5507	413	4	the	the	DET
ejpam-5507	413	5	log	log	NOUN
ejpam-5507	413	6	-	-	PUNCT
ejpam-5507	413	7	likelihood	likelihood	NOUN
ejpam-5507	413	8	function	function	NOUN
ejpam-5507	413	9	with	with	ADP
ejpam-5507	413	10	respect	respect	NOUN
ejpam-5507	413	11	to	to	ADP
ejpam-5507	413	12	the	the	DET
ejpam-5507	413	13	unknown	unknown	ADJ
ejpam-5507	413	14	parameters	parameter	NOUN
ejpam-5507	413	15	are	be	AUX
ejpam-5507	413	16	∂l	∂l	ADJ
ejpam-5507	414	1	∂α	∂α	NOUN
ejpam-5507	414	2	=	=	PUNCT
ejpam-5507	414	3	3n	3n	NUM
ejpam-5507	414	4	α	α	NOUN
ejpam-5507	414	5	+	+	CCONJ
ejpam-5507	414	6	n	n	CCONJ
ejpam-5507	414	7	α+	α+	PRON
ejpam-5507	414	8	1	1	NUM
ejpam-5507	414	9	−	−	NUM
ejpam-5507	415	1	n∑	n∑	NOUN
ejpam-5507	416	1	i=1	i=1	PROPN
ejpam-5507	417	1	ln(1	ln(1	NOUN
ejpam-5507	417	2	+	+	NUM
ejpam-5507	417	3	xβ1	xβ1	PROPN
ejpam-5507	417	4	1i	1i	NOUN
ejpam-5507	417	5	)	)	PUNCT
ejpam-5507	418	1	−	−	PROPN
ejpam-5507	419	1	n∑	n∑	NOUN
ejpam-5507	419	2	i=1	i=1	PROPN
ejpam-5507	420	1	ln(1	ln(1	PROPN
ejpam-5507	420	2	+	+	NUM
ejpam-5507	420	3	xβ2	xβ2	PROPN
ejpam-5507	420	4	2i	2i	NUM
ejpam-5507	420	5	)	)	PUNCT
ejpam-5507	421	1	−	−	PROPN
ejpam-5507	421	2	n∑	n∑	PROPN
ejpam-5507	421	3	i=1	i=1	PROPN
ejpam-5507	422	1	ln(∆2(x1	ln(∆2(x1	PROPN
ejpam-5507	422	2	,	,	PUNCT
ejpam-5507	422	3	x2))−	x2))−	NOUN
ejpam-5507	422	4	n	n	NUM
ejpam-5507	422	5	n∑	n∑	NOUN
ejpam-5507	422	6	i=1	i=1	PROPN
ejpam-5507	423	1	λ	λ	PROPN
ejpam-5507	423	2	γ	γ	X
ejpam-5507	423	3	+	+	PROPN
ejpam-5507	423	4	(	(	PUNCT
ejpam-5507	423	5	β1	β1	NOUN
ejpam-5507	423	6	−	−	NOUN
ejpam-5507	423	7	1	1	NUM
ejpam-5507	423	8	)	)	PUNCT
ejpam-5507	423	9	n∑	n∑	NOUN
ejpam-5507	423	10	i=1	i=1	PROPN
ejpam-5507	424	1	ln(1	ln(1	NOUN
ejpam-5507	424	2	+	+	NUM
ejpam-5507	424	3	xβ1	xβ1	PROPN
ejpam-5507	424	4	1i	1i	NOUN
ejpam-5507	424	5	)	)	PUNCT
ejpam-5507	424	6	(	(	PUNCT
ejpam-5507	424	7	1	1	NUM
ejpam-5507	424	8	+	+	NUM
ejpam-5507	424	9	xβ1	xβ1	PROPN
ejpam-5507	424	10	1i	1i	NOUN
ejpam-5507	424	11	)	)	PUNCT
ejpam-5507	424	12	−α	−α	PROPN
ejpam-5507	424	13	1−	1−	NUM
ejpam-5507	424	14	(	(	PUNCT
ejpam-5507	425	1	1	1	NUM
ejpam-5507	425	2	+	+	NUM
ejpam-5507	425	3	xβ1	xβ1	ADJ
ejpam-5507	425	4	1i	1i	NOUN
ejpam-5507	425	5	)	)	PUNCT
ejpam-5507	425	6	−α	−α	NOUN
ejpam-5507	426	1	+	+	CCONJ
ejpam-5507	426	2	(	(	PUNCT
ejpam-5507	426	3	β2	β2	VERB
ejpam-5507	426	4	−	−	PROPN
ejpam-5507	426	5	1	1	NUM
ejpam-5507	426	6	)	)	PUNCT
ejpam-5507	426	7	n∑	n∑	NOUN
ejpam-5507	427	1	i=1	i=1	PROPN
ejpam-5507	428	1	ln(1	ln(1	PROPN
ejpam-5507	428	2	+	+	NUM
ejpam-5507	428	3	xβ2	xβ2	PROPN
ejpam-5507	428	4	2i	2i	NUM
ejpam-5507	428	5	)	)	PUNCT
ejpam-5507	428	6	(	(	PUNCT
ejpam-5507	428	7	1	1	NUM
ejpam-5507	428	8	+	+	NUM
ejpam-5507	428	9	xβ2	xβ2	PROPN
ejpam-5507	428	10	2i	2i	NUM
ejpam-5507	428	11	)	)	PUNCT
ejpam-5507	429	1	−α	−α	NOUN
ejpam-5507	429	2	1−	1−	NUM
ejpam-5507	429	3	(	(	PUNCT
ejpam-5507	429	4	1	1	NUM
ejpam-5507	429	5	+	+	NUM
ejpam-5507	429	6	xβ2	xβ2	PROPN
ejpam-5507	429	7	2i	2i	NUM
ejpam-5507	429	8	)	)	PUNCT
ejpam-5507	429	9	−α	−α	NOUN
ejpam-5507	430	1	+	+	PROPN
ejpam-5507	430	2	(	(	PUNCT
ejpam-5507	430	3	α+	α+	PROPN
ejpam-5507	430	4	2)β1	2)β1	NUM
ejpam-5507	430	5	n∑	n∑	NOUN
ejpam-5507	430	6	i=1	i=1	PROPN
ejpam-5507	431	1	ln(1	ln(1	NOUN
ejpam-5507	431	2	+	+	NUM
ejpam-5507	431	3	xβ1	xβ1	PROPN
ejpam-5507	431	4	1i	1i	NOUN
ejpam-5507	431	5	)	)	PUNCT
ejpam-5507	431	6	(	(	PUNCT
ejpam-5507	431	7	1	1	NUM
ejpam-5507	431	8	+	+	NUM
ejpam-5507	431	9	xβ1	xβ1	PROPN
ejpam-5507	431	10	1i	1i	NOUN
ejpam-5507	431	11	)	)	PUNCT
ejpam-5507	431	12	−α(a1(1−	−α(a1(1−	PROPN
ejpam-5507	431	13	(	(	PUNCT
ejpam-5507	431	14	1	1	NUM
ejpam-5507	431	15	+	+	NUM
ejpam-5507	432	1	xβ1	xβ1	ADJ
ejpam-5507	432	2	1i	1i	NOUN
ejpam-5507	432	3	)	)	PUNCT
ejpam-5507	432	4	−α))β1−1	−α))β1−1	PROPN
ejpam-5507	433	1	∆2(x1	∆2(x1	ADJ
ejpam-5507	433	2	,	,	PUNCT
ejpam-5507	433	3	x2	x2	PROPN
ejpam-5507	433	4	)	)	PUNCT
ejpam-5507	434	1	+	+	PROPN
ejpam-5507	434	2	(	(	PUNCT
ejpam-5507	434	3	α+	α+	PROPN
ejpam-5507	434	4	2)β2	2)β2	NUM
ejpam-5507	434	5	n∑	n∑	NOUN
ejpam-5507	434	6	i=1	i=1	PROPN
ejpam-5507	435	1	ln(1	ln(1	PROPN
ejpam-5507	435	2	+	+	NUM
ejpam-5507	435	3	xβ2	xβ2	PROPN
ejpam-5507	435	4	2i	2i	NUM
ejpam-5507	435	5	)	)	PUNCT
ejpam-5507	435	6	(	(	PUNCT
ejpam-5507	435	7	1	1	NUM
ejpam-5507	435	8	+	+	NUM
ejpam-5507	435	9	xβ2	xβ2	PROPN
ejpam-5507	435	10	2i	2i	NUM
ejpam-5507	435	11	)	)	PUNCT
ejpam-5507	435	12	−α(a2(1−	−α(a2(1−	NOUN
ejpam-5507	435	13	(	(	PUNCT
ejpam-5507	435	14	1	1	NUM
ejpam-5507	435	15	+	+	NUM
ejpam-5507	435	16	xβ2	xβ2	PROPN
ejpam-5507	435	17	2i	2i	NUM
ejpam-5507	435	18	)	)	PUNCT
ejpam-5507	435	19	−α))β2−1	−α))β2−1	PROPN
ejpam-5507	435	20	∆2(x1	∆2(x1	PROPN
ejpam-5507	435	21	,	,	PUNCT
ejpam-5507	435	22	x2	x2	PROPN
ejpam-5507	435	23	)	)	PUNCT
ejpam-5507	435	24	(	(	PUNCT
ejpam-5507	435	25	46	46	X
ejpam-5507	435	26	)	)	PUNCT
ejpam-5507	435	27	e.	e.	PROPN
ejpam-5507	435	28	alsulami	alsulami	PROPN
ejpam-5507	435	29	,	,	PUNCT
ejpam-5507	435	30	l.	l.	PROPN
ejpam-5507	435	31	al	al	PROPN
ejpam-5507	435	32	-	-	PUNCT
ejpam-5507	435	33	turk	turk	PROPN
ejpam-5507	435	34	,	,	PUNCT
ejpam-5507	435	35	m.	m.	NOUN
ejpam-5507	435	36	q.	q.	PROPN
ejpam-5507	435	37	shahbaz	shahbaz	PROPN
ejpam-5507	435	38	/	/	SYM
ejpam-5507	435	39	eur	eur	PROPN
ejpam-5507	435	40	.	.	PUNCT
ejpam-5507	436	1	j.	j.	PROPN
ejpam-5507	436	2	pure	pure	PROPN
ejpam-5507	436	3	appl	appl	PROPN
ejpam-5507	436	4	.	.	PROPN
ejpam-5507	436	5	math	math	PROPN
ejpam-5507	436	6	,	,	PUNCT
ejpam-5507	436	7	17	17	NUM
ejpam-5507	436	8	(	(	PUNCT
ejpam-5507	436	9	4	4	NUM
ejpam-5507	436	10	)	)	PUNCT
ejpam-5507	436	11	(	(	PUNCT
ejpam-5507	436	12	2024	2024	NUM
ejpam-5507	436	13	)	)	PUNCT
ejpam-5507	436	14	,	,	PUNCT
ejpam-5507	436	15	3945	3945	NUM
ejpam-5507	436	16	-	-	SYM
ejpam-5507	436	17	3972	3972	NUM
ejpam-5507	436	18	3962	3962	NUM
ejpam-5507	436	19	where	where	SCONJ
ejpam-5507	436	20	∆2(x1	∆2(x1	PROPN
ejpam-5507	436	21	,	,	PUNCT
ejpam-5507	436	22	x2	x2	PROPN
ejpam-5507	436	23	)	)	PUNCT
ejpam-5507	436	24	and	and	CCONJ
ejpam-5507	436	25	γ	γ	X
ejpam-5507	436	26	earlier	early	ADV
ejpam-5507	436	27	defined	define	VERB
ejpam-5507	436	28	and	and	CCONJ
ejpam-5507	436	29	λ	λ	X
ejpam-5507	436	30	=	=	SYM
ejpam-5507	436	31	(	(	PUNCT
ejpam-5507	436	32	1	1	NUM
ejpam-5507	436	33	+	+	CCONJ
ejpam-5507	436	34	aβ1	aβ1	NOUN
ejpam-5507	436	35	1	1	NUM
ejpam-5507	436	36	)	)	PUNCT
ejpam-5507	436	37	−α	−α	NOUN
ejpam-5507	436	38	ln(1	ln(1	NOUN
ejpam-5507	436	39	+	+	CCONJ
ejpam-5507	436	40	aβ1	aβ1	NOUN
ejpam-5507	436	41	1	1	NUM
ejpam-5507	436	42	)	)	PUNCT
ejpam-5507	437	1	+	+	CCONJ
ejpam-5507	437	2	(	(	PUNCT
ejpam-5507	437	3	1	1	NUM
ejpam-5507	437	4	+	+	NUM
ejpam-5507	437	5	aβ2	aβ2	NOUN
ejpam-5507	437	6	2	2	X
ejpam-5507	437	7	)	)	PUNCT
ejpam-5507	437	8	−α	−α	NOUN
ejpam-5507	437	9	ln(1	ln(1	NOUN
ejpam-5507	437	10	+	+	CCONJ
ejpam-5507	437	11	aβ2	aβ2	NOUN
ejpam-5507	437	12	2	2	NUM
ejpam-5507	437	13	)	)	PUNCT
ejpam-5507	437	14	−	−	PROPN
ejpam-5507	437	15	(	(	PUNCT
ejpam-5507	437	16	1	1	NUM
ejpam-5507	437	17	+	+	CCONJ
ejpam-5507	437	18	aβ1	aβ1	NOUN
ejpam-5507	437	19	1	1	NUM
ejpam-5507	437	20	+	+	CCONJ
ejpam-5507	437	21	aβ2	aβ2	NOUN
ejpam-5507	437	22	2	2	X
ejpam-5507	437	23	)	)	PUNCT
ejpam-5507	437	24	−α	−α	NOUN
ejpam-5507	437	25	ln(1	ln(1	NOUN
ejpam-5507	437	26	+	+	CCONJ
ejpam-5507	437	27	aβ1	aβ1	NOUN
ejpam-5507	437	28	1	1	NUM
ejpam-5507	437	29	+	+	CCONJ
ejpam-5507	437	30	aβ2	aβ2	NOUN
ejpam-5507	437	31	2	2	X
ejpam-5507	437	32	)	)	PUNCT
ejpam-5507	437	33	∂l	∂l	NOUN
ejpam-5507	438	1	∂a1	∂a1	VERB
ejpam-5507	438	2	=	=	PUNCT
ejpam-5507	439	1	nβ1	nβ1	ADJ
ejpam-5507	439	2	a1	a1	NOUN
ejpam-5507	439	3	−	−	PROPN
ejpam-5507	439	4	(	(	PUNCT
ejpam-5507	439	5	α+	α+	NOUN
ejpam-5507	439	6	2	2	NUM
ejpam-5507	439	7	)	)	PUNCT
ejpam-5507	439	8	n∑	n∑	NOUN
ejpam-5507	439	9	i=1	i=1	PROPN
ejpam-5507	440	1	β1(a1(1−	β1(a1(1−	PROPN
ejpam-5507	440	2	(	(	PUNCT
ejpam-5507	440	3	1	1	NUM
ejpam-5507	440	4	+	+	NUM
ejpam-5507	440	5	xβ1	xβ1	PROPN
ejpam-5507	440	6	1i	1i	NOUN
ejpam-5507	440	7	)	)	PUNCT
ejpam-5507	440	8	−α))β1−1(1−	−α))β1−1(1−	NOUN
ejpam-5507	440	9	(	(	PUNCT
ejpam-5507	440	10	1	1	NUM
ejpam-5507	440	11	+	+	NUM
ejpam-5507	440	12	xβ1	xβ1	ADJ
ejpam-5507	440	13	1i	1i	NOUN
ejpam-5507	440	14	)	)	PUNCT
ejpam-5507	440	15	−α	−α	NOUN
ejpam-5507	440	16	)	)	PUNCT
ejpam-5507	441	1	∆2(x1	∆2(x1	ADJ
ejpam-5507	441	2	,	,	PUNCT
ejpam-5507	441	3	x2	x2	PROPN
ejpam-5507	441	4	)	)	PUNCT
ejpam-5507	441	5	−n	−n	ADP
ejpam-5507	441	6	α	α	NOUN
ejpam-5507	441	7	aβ1−1	aβ1−1	NOUN
ejpam-5507	441	8	1	1	NUM
ejpam-5507	441	9	β1	β1	PROPN
ejpam-5507	441	10	γ	γ	X
ejpam-5507	441	11	[	[	PUNCT
ejpam-5507	441	12	(	(	PUNCT
ejpam-5507	441	13	1	1	NUM
ejpam-5507	441	14	+	+	CCONJ
ejpam-5507	441	15	aβ1	aβ1	NOUN
ejpam-5507	441	16	1	1	NUM
ejpam-5507	441	17	)	)	PUNCT
ejpam-5507	441	18	−(α+1	−(α+1	NOUN
ejpam-5507	441	19	)	)	PUNCT
ejpam-5507	442	1	−	−	PROPN
ejpam-5507	442	2	(	(	PUNCT
ejpam-5507	442	3	1	1	NUM
ejpam-5507	442	4	+	+	CCONJ
ejpam-5507	442	5	aβ1	aβ1	NOUN
ejpam-5507	442	6	1	1	NUM
ejpam-5507	442	7	+	+	CCONJ
ejpam-5507	442	8	aβ2	aβ2	NOUN
ejpam-5507	442	9	2	2	NUM
ejpam-5507	442	10	)	)	PUNCT
ejpam-5507	442	11	−(α+1	−(α+1	NOUN
ejpam-5507	442	12	)	)	PUNCT
ejpam-5507	442	13	]	]	PUNCT
ejpam-5507	443	1	(	(	PUNCT
ejpam-5507	443	2	47	47	NUM
ejpam-5507	443	3	)	)	PUNCT
ejpam-5507	443	4	∂l	∂l	PROPN
ejpam-5507	443	5	∂a2	∂a2	PROPN
ejpam-5507	443	6	=	=	PUNCT
ejpam-5507	443	7	nβ2	nβ2	PROPN
ejpam-5507	443	8	a2	a2	PROPN
ejpam-5507	443	9	−	−	PROPN
ejpam-5507	444	1	(	(	PUNCT
ejpam-5507	444	2	α+	α+	NOUN
ejpam-5507	444	3	2	2	NUM
ejpam-5507	444	4	)	)	PUNCT
ejpam-5507	444	5	n∑	n∑	NOUN
ejpam-5507	444	6	i=1	i=1	PROPN
ejpam-5507	445	1	β2(a2(1−	β2(a2(1−	PROPN
ejpam-5507	445	2	(	(	PUNCT
ejpam-5507	445	3	1	1	NUM
ejpam-5507	445	4	+	+	NUM
ejpam-5507	445	5	xβ2	xβ2	PROPN
ejpam-5507	445	6	2i	2i	NUM
ejpam-5507	445	7	)	)	PUNCT
ejpam-5507	446	1	−α))β2−1(1−	−α))β2−1(1−	PROPN
ejpam-5507	446	2	(	(	PUNCT
ejpam-5507	446	3	1	1	NUM
ejpam-5507	446	4	+	+	NUM
ejpam-5507	446	5	xβ2	xβ2	PROPN
ejpam-5507	446	6	2i	2i	NUM
ejpam-5507	446	7	)	)	PUNCT
ejpam-5507	446	8	−α	−α	NOUN
ejpam-5507	446	9	)	)	PUNCT
ejpam-5507	447	1	∆2(x1	∆2(x1	ADJ
ejpam-5507	447	2	,	,	PUNCT
ejpam-5507	447	3	x2	x2	PROPN
ejpam-5507	447	4	)	)	PUNCT
ejpam-5507	447	5	−n	−n	ADP
ejpam-5507	447	6	α	α	PROPN
ejpam-5507	447	7	aβ2−1	aβ2−1	NOUN
ejpam-5507	447	8	2	2	NUM
ejpam-5507	447	9	β2	β2	NOUN
ejpam-5507	447	10	γ	γ	X
ejpam-5507	447	11	[	[	PUNCT
ejpam-5507	447	12	(	(	PUNCT
ejpam-5507	447	13	1	1	NUM
ejpam-5507	447	14	+	+	CCONJ
ejpam-5507	447	15	aβ2	aβ2	NOUN
ejpam-5507	447	16	2	2	NUM
ejpam-5507	447	17	)	)	PUNCT
ejpam-5507	447	18	−(α+1	−(α+1	NOUN
ejpam-5507	447	19	)	)	PUNCT
ejpam-5507	448	1	−	−	PROPN
ejpam-5507	448	2	(	(	PUNCT
ejpam-5507	448	3	1	1	NUM
ejpam-5507	448	4	+	+	CCONJ
ejpam-5507	448	5	aβ1	aβ1	NOUN
ejpam-5507	448	6	1	1	NUM
ejpam-5507	448	7	+	+	CCONJ
ejpam-5507	448	8	aβ2	aβ2	NOUN
ejpam-5507	448	9	2	2	NUM
ejpam-5507	448	10	)	)	PUNCT
ejpam-5507	448	11	−(α+1	−(α+1	NOUN
ejpam-5507	448	12	)	)	PUNCT
ejpam-5507	448	13	]	]	PUNCT
ejpam-5507	448	14	(	(	PUNCT
ejpam-5507	448	15	48	48	NUM
ejpam-5507	448	16	)	)	PUNCT
ejpam-5507	448	17	∂l	∂l	PROPN
ejpam-5507	449	1	∂β1	∂β1	NOUN
ejpam-5507	449	2	=	=	SYM
ejpam-5507	449	3	n	n	X
ejpam-5507	449	4	ln(a1	ln(a1	NOUN
ejpam-5507	449	5	)	)	PUNCT
ejpam-5507	450	1	+	+	CCONJ
ejpam-5507	450	2	2n	2n	NUM
ejpam-5507	450	3	β1	β1	NOUN
ejpam-5507	450	4	+	+	CCONJ
ejpam-5507	450	5	n∑	n∑	PROPN
ejpam-5507	450	6	i=1	i=1	PROPN
ejpam-5507	450	7	ln(x1i)−	ln(x1i)−	PROPN
ejpam-5507	450	8	(	(	PUNCT
ejpam-5507	450	9	α+	α+	NOUN
ejpam-5507	450	10	1	1	NUM
ejpam-5507	450	11	)	)	PUNCT
ejpam-5507	450	12	n∑	n∑	NOUN
ejpam-5507	450	13	i=1	i=1	PROPN
ejpam-5507	451	1	xβ1	xβ1	PROPN
ejpam-5507	452	1	1i	1i	NUM
ejpam-5507	452	2	ln(x1i	ln(x1i	NOUN
ejpam-5507	452	3	)	)	PUNCT
ejpam-5507	452	4	)	)	PUNCT
ejpam-5507	453	1	1	1	NUM
ejpam-5507	454	1	+	+	NUM
ejpam-5507	455	1	xβ1	xβ1	PROPN
ejpam-5507	455	2	1i	1i	NOUN
ejpam-5507	456	1	+	+	X
ejpam-5507	456	2	n∑	n∑	ADJ
ejpam-5507	456	3	i=1	i=1	X
ejpam-5507	457	1	ln(1−	ln(1−	ADJ
ejpam-5507	457	2	(	(	PUNCT
ejpam-5507	457	3	1	1	NUM
ejpam-5507	457	4	+	+	NUM
ejpam-5507	457	5	xβ1	xβ1	ADJ
ejpam-5507	457	6	1i	1i	NOUN
ejpam-5507	457	7	)	)	PUNCT
ejpam-5507	457	8	−α	−α	NOUN
ejpam-5507	457	9	)	)	PUNCT
ejpam-5507	457	10	+	+	CCONJ
ejpam-5507	458	1	α(β1	α(β1	ADV
ejpam-5507	458	2	−	−	NUM
ejpam-5507	458	3	1	1	NUM
ejpam-5507	458	4	)	)	PUNCT
ejpam-5507	458	5	n∑	n∑	NOUN
ejpam-5507	458	6	i=1	i=1	PROPN
ejpam-5507	458	7	(	(	PUNCT
ejpam-5507	458	8	1	1	NUM
ejpam-5507	458	9	+	+	NUM
ejpam-5507	458	10	xβ1	xβ1	ADJ
ejpam-5507	458	11	1i	1i	NOUN
ejpam-5507	458	12	)	)	PUNCT
ejpam-5507	458	13	ln(x1i	ln(x1i	NOUN
ejpam-5507	458	14	)	)	PUNCT
ejpam-5507	459	1	1−	1−	NUM
ejpam-5507	460	1	(	(	PUNCT
ejpam-5507	460	2	1	1	NUM
ejpam-5507	460	3	+	+	NUM
ejpam-5507	460	4	xβ1	xβ1	PROPN
ejpam-5507	460	5	1i	1i	NOUN
ejpam-5507	460	6	)	)	PUNCT
ejpam-5507	460	7	−α	−α	NOUN
ejpam-5507	461	1	−(α+	−(α+	PRON
ejpam-5507	461	2	2	2	X
ejpam-5507	461	3	)	)	PUNCT
ejpam-5507	461	4	aβ1	aβ1	NOUN
ejpam-5507	461	5	1	1	NUM
ejpam-5507	461	6	n∑	n∑	NOUN
ejpam-5507	461	7	i=1	i=1	PROPN
ejpam-5507	462	1	[	[	PUNCT
ejpam-5507	462	2	1−	1−	NUM
ejpam-5507	462	3	(	(	PUNCT
ejpam-5507	462	4	1	1	NUM
ejpam-5507	462	5	+	+	NUM
ejpam-5507	462	6	xβ1	xβ1	ADJ
ejpam-5507	462	7	1i	1i	NOUN
ejpam-5507	462	8	)	)	PUNCT
ejpam-5507	463	1	−α)β1−1	−α)β1−1	PROPN
ejpam-5507	463	2	]	]	PUNCT
ejpam-5507	464	1	[	[	X
ejpam-5507	464	2	∆3(x1	∆3(x1	PROPN
ejpam-5507	464	3	)	)	PUNCT
ejpam-5507	464	4	+	+	PUNCT
ejpam-5507	465	1	∆2(x1	∆2(x1	PROPN
ejpam-5507	465	2	)	)	PUNCT
ejpam-5507	465	3	]	]	PUNCT
ejpam-5507	466	1	∆2(x1	∆2(x1	ADJ
ejpam-5507	466	2	,	,	PUNCT
ejpam-5507	466	3	x2	x2	PROPN
ejpam-5507	466	4	)	)	PUNCT
ejpam-5507	466	5	−n	−n	ADP
ejpam-5507	466	6	α	α	NOUN
ejpam-5507	466	7	aβ1	aβ1	NOUN
ejpam-5507	466	8	1	1	NUM
ejpam-5507	466	9	ln(a1	ln(a1	NOUN
ejpam-5507	466	10	)	)	PUNCT
ejpam-5507	466	11	γ	γ	PROPN
ejpam-5507	466	12	[	[	PUNCT
ejpam-5507	466	13	(	(	PUNCT
ejpam-5507	466	14	1	1	NUM
ejpam-5507	466	15	+	+	CCONJ
ejpam-5507	466	16	aβ1	aβ1	NOUN
ejpam-5507	466	17	1	1	NUM
ejpam-5507	466	18	)	)	PUNCT
ejpam-5507	466	19	−(α+1	−(α+1	NOUN
ejpam-5507	466	20	)	)	PUNCT
ejpam-5507	467	1	−	−	PROPN
ejpam-5507	467	2	(	(	PUNCT
ejpam-5507	467	3	1	1	NUM
ejpam-5507	467	4	+	+	CCONJ
ejpam-5507	467	5	aβ1	aβ1	NOUN
ejpam-5507	467	6	1	1	NUM
ejpam-5507	467	7	+	+	CCONJ
ejpam-5507	467	8	aβ2	aβ2	NOUN
ejpam-5507	467	9	2	2	NUM
ejpam-5507	467	10	)	)	PUNCT
ejpam-5507	467	11	−(α+1	−(α+1	NOUN
ejpam-5507	467	12	)	)	PUNCT
ejpam-5507	467	13	]	]	PUNCT
ejpam-5507	467	14	(	(	PUNCT
ejpam-5507	467	15	49	49	NUM
ejpam-5507	467	16	)	)	PUNCT
ejpam-5507	467	17	where	where	SCONJ
ejpam-5507	467	18	∆2(x1	∆2(x1	NOUN
ejpam-5507	467	19	)	)	PUNCT
ejpam-5507	467	20	=	=	SYM
ejpam-5507	467	21	aβ1	aβ1	NOUN
ejpam-5507	467	22	1	1	NUM
ejpam-5507	467	23	(	(	PUNCT
ejpam-5507	467	24	1−	1−	NUM
ejpam-5507	467	25	(	(	PUNCT
ejpam-5507	467	26	1	1	NUM
ejpam-5507	467	27	+	+	NUM
ejpam-5507	467	28	xβ1	xβ1	ADJ
ejpam-5507	467	29	1i	1i	NOUN
ejpam-5507	467	30	)	)	PUNCT
ejpam-5507	467	31	−α	−α	NOUN
ejpam-5507	467	32	)	)	PUNCT
ejpam-5507	467	33	ln(a1(1−	ln(a1(1−	VERB
ejpam-5507	467	34	(	(	PUNCT
ejpam-5507	467	35	1	1	NUM
ejpam-5507	467	36	+	+	NUM
ejpam-5507	467	37	xβ1	xβ1	ADJ
ejpam-5507	467	38	1i	1i	NOUN
ejpam-5507	467	39	)	)	PUNCT
ejpam-5507	467	40	−α	−α	NOUN
ejpam-5507	467	41	)	)	PUNCT
ejpam-5507	467	42	)	)	PUNCT
ejpam-5507	467	43	and	and	CCONJ
ejpam-5507	467	44	∆3(x1	∆3(x1	PROPN
ejpam-5507	467	45	)	)	PUNCT
ejpam-5507	467	46	=	=	PUNCT
ejpam-5507	467	47	αβ1x	αβ1x	NOUN
ejpam-5507	467	48	β1	β1	NOUN
ejpam-5507	467	49	1i	1i	NUM
ejpam-5507	467	50	ln(x1i)(1	ln(x1i)(1	NOUN
ejpam-5507	467	51	+	+	CCONJ
ejpam-5507	467	52	xβ1	xβ1	PROPN
ejpam-5507	467	53	1i	1i	NOUN
ejpam-5507	467	54	)	)	PUNCT
ejpam-5507	467	55	−(α+1	−(α+1	NOUN
ejpam-5507	467	56	)	)	PUNCT
ejpam-5507	467	57	.	.	PUNCT
ejpam-5507	468	1	∂l	∂l	VERB
ejpam-5507	469	1	∂β2	∂β2	ADJ
ejpam-5507	469	2	=	=	NOUN
ejpam-5507	469	3	n	n	PRON
ejpam-5507	469	4	ln(a2	ln(a2	NOUN
ejpam-5507	469	5	)	)	PUNCT
ejpam-5507	470	1	+	+	CCONJ
ejpam-5507	470	2	2n	2n	NUM
ejpam-5507	470	3	β2	β2	NOUN
ejpam-5507	470	4	+	+	CCONJ
ejpam-5507	470	5	n∑	n∑	ADJ
ejpam-5507	470	6	i=1	i=1	PROPN
ejpam-5507	470	7	ln(x2i)−	ln(x2i)−	PROPN
ejpam-5507	470	8	(	(	PUNCT
ejpam-5507	470	9	α+	α+	NOUN
ejpam-5507	470	10	1	1	NUM
ejpam-5507	470	11	)	)	PUNCT
ejpam-5507	470	12	n∑	n∑	NOUN
ejpam-5507	470	13	i=1	i=1	PROPN
ejpam-5507	471	1	xβ2	xβ2	PROPN
ejpam-5507	471	2	2i	2i	PROPN
ejpam-5507	471	3	ln(x2i	ln(x2i	PROPN
ejpam-5507	471	4	)	)	PUNCT
ejpam-5507	471	5	)	)	PUNCT
ejpam-5507	472	1	1	1	NUM
ejpam-5507	473	1	+	+	NUM
ejpam-5507	473	2	xβ2	xβ2	X
ejpam-5507	473	3	2i	2i	NUM
ejpam-5507	473	4	+	+	CCONJ
ejpam-5507	473	5	n∑	n∑	ADJ
ejpam-5507	473	6	i=1	i=1	X
ejpam-5507	474	1	ln(1−	ln(1−	ADJ
ejpam-5507	474	2	(	(	PUNCT
ejpam-5507	474	3	1	1	NUM
ejpam-5507	474	4	+	+	NUM
ejpam-5507	474	5	xβ2	xβ2	PROPN
ejpam-5507	474	6	2i	2i	NUM
ejpam-5507	474	7	)	)	PUNCT
ejpam-5507	474	8	−α	−α	NOUN
ejpam-5507	474	9	)	)	PUNCT
ejpam-5507	475	1	+	+	CCONJ
ejpam-5507	475	2	α(β2	α(β2	NUM
ejpam-5507	475	3	−	−	NOUN
ejpam-5507	475	4	1	1	NUM
ejpam-5507	475	5	)	)	PUNCT
ejpam-5507	476	1	n∑	n∑	NOUN
ejpam-5507	476	2	i=1	i=1	PROPN
ejpam-5507	477	1	(	(	PUNCT
ejpam-5507	477	2	1	1	NUM
ejpam-5507	477	3	+	+	NUM
ejpam-5507	477	4	xβ2	xβ2	PROPN
ejpam-5507	477	5	2i	2i	NUM
ejpam-5507	477	6	)	)	PUNCT
ejpam-5507	477	7	ln(x2i	ln(x2i	PROPN
ejpam-5507	477	8	)	)	PUNCT
ejpam-5507	477	9	1−	1−	NUM
ejpam-5507	478	1	(	(	PUNCT
ejpam-5507	478	2	1	1	NUM
ejpam-5507	478	3	+	+	NUM
ejpam-5507	478	4	xβ2	xβ2	PROPN
ejpam-5507	478	5	2i	2i	NUM
ejpam-5507	478	6	)	)	PUNCT
ejpam-5507	479	1	−α	−α	NOUN
ejpam-5507	479	2	−(α+	−(α+	PRON
ejpam-5507	479	3	2	2	X
ejpam-5507	479	4	)	)	PUNCT
ejpam-5507	479	5	aβ2	aβ2	NOUN
ejpam-5507	480	1	2	2	NUM
ejpam-5507	480	2	n∑	n∑	NOUN
ejpam-5507	480	3	i=1	i=1	X
ejpam-5507	481	1	[	[	PUNCT
ejpam-5507	481	2	1−	1−	NUM
ejpam-5507	481	3	(	(	PUNCT
ejpam-5507	481	4	1	1	NUM
ejpam-5507	481	5	+	+	NUM
ejpam-5507	481	6	xβ2	xβ2	NOUN
ejpam-5507	481	7	2i	2i	NUM
ejpam-5507	481	8	)	)	PUNCT
ejpam-5507	482	1	−α)β2−1	−α)β2−1	PRON
ejpam-5507	482	2	]	]	PUNCT
ejpam-5507	483	1	[	[	X
ejpam-5507	483	2	∆3(x2	∆3(x2	X
ejpam-5507	483	3	)	)	PUNCT
ejpam-5507	483	4	+	+	X
ejpam-5507	483	5	∆2(x2	∆2(x2	PROPN
ejpam-5507	483	6	)	)	PUNCT
ejpam-5507	483	7	]	]	PUNCT
ejpam-5507	484	1	∆2(x1	∆2(x1	ADJ
ejpam-5507	484	2	,	,	PUNCT
ejpam-5507	484	3	x2	x2	PROPN
ejpam-5507	484	4	)	)	PUNCT
ejpam-5507	484	5	−n	−n	ADV
ejpam-5507	484	6	α	α	NOUN
ejpam-5507	484	7	aβ2	aβ2	PROPN
ejpam-5507	484	8	2	2	NUM
ejpam-5507	484	9	ln(a2	ln(a2	NOUN
ejpam-5507	484	10	)	)	PUNCT
ejpam-5507	484	11	γ	γ	X
ejpam-5507	484	12	[	[	PUNCT
ejpam-5507	484	13	(	(	PUNCT
ejpam-5507	484	14	1	1	NUM
ejpam-5507	484	15	+	+	CCONJ
ejpam-5507	484	16	aβ2	aβ2	NOUN
ejpam-5507	484	17	2	2	NUM
ejpam-5507	484	18	)	)	PUNCT
ejpam-5507	484	19	−(α+1	−(α+1	NOUN
ejpam-5507	484	20	)	)	PUNCT
ejpam-5507	484	21	−	−	PROPN
ejpam-5507	485	1	(	(	PUNCT
ejpam-5507	485	2	1	1	NUM
ejpam-5507	485	3	+	+	CCONJ
ejpam-5507	485	4	aβ1	aβ1	NOUN
ejpam-5507	485	5	1	1	NUM
ejpam-5507	485	6	+	+	CCONJ
ejpam-5507	485	7	aβ2	aβ2	NOUN
ejpam-5507	485	8	2	2	NUM
ejpam-5507	485	9	)	)	PUNCT
ejpam-5507	485	10	−(α+1	−(α+1	NOUN
ejpam-5507	485	11	)	)	PUNCT
ejpam-5507	485	12	]	]	PUNCT
ejpam-5507	485	13	(	(	PUNCT
ejpam-5507	485	14	50	50	NUM
ejpam-5507	485	15	)	)	PUNCT
ejpam-5507	485	16	where	where	SCONJ
ejpam-5507	485	17	∆2(x2	∆2(x2	NOUN
ejpam-5507	485	18	)	)	PUNCT
ejpam-5507	485	19	=	=	PUNCT
ejpam-5507	485	20	aβ2	aβ2	NOUN
ejpam-5507	485	21	2	2	NUM
ejpam-5507	485	22	(	(	PUNCT
ejpam-5507	485	23	1−	1−	NUM
ejpam-5507	485	24	(	(	PUNCT
ejpam-5507	485	25	1	1	NUM
ejpam-5507	485	26	+	+	NUM
ejpam-5507	485	27	xβ2	xβ2	PROPN
ejpam-5507	485	28	2i	2i	NUM
ejpam-5507	485	29	)	)	PUNCT
ejpam-5507	485	30	−α	−α	NOUN
ejpam-5507	485	31	)	)	PUNCT
ejpam-5507	486	1	ln(a2(1−	ln(a2(1−	X
ejpam-5507	486	2	(	(	PUNCT
ejpam-5507	486	3	1	1	NUM
ejpam-5507	486	4	+	+	NUM
ejpam-5507	486	5	xβ2	xβ2	PROPN
ejpam-5507	486	6	2i	2i	NUM
ejpam-5507	486	7	)	)	PUNCT
ejpam-5507	486	8	−α	−α	NOUN
ejpam-5507	486	9	)	)	PUNCT
ejpam-5507	486	10	)	)	PUNCT
ejpam-5507	487	1	and	and	CCONJ
ejpam-5507	487	2	e.	e.	PROPN
ejpam-5507	487	3	alsulami	alsulami	PROPN
ejpam-5507	487	4	,	,	PUNCT
ejpam-5507	487	5	l.	l.	PROPN
ejpam-5507	487	6	al	al	PROPN
ejpam-5507	487	7	-	-	PUNCT
ejpam-5507	487	8	turk	turk	PROPN
ejpam-5507	487	9	,	,	PUNCT
ejpam-5507	487	10	m.	m.	NOUN
ejpam-5507	487	11	q.	q.	PROPN
ejpam-5507	487	12	shahbaz	shahbaz	PROPN
ejpam-5507	487	13	/	/	SYM
ejpam-5507	487	14	eur	eur	PROPN
ejpam-5507	487	15	.	.	PUNCT
ejpam-5507	488	1	j.	j.	PROPN
ejpam-5507	488	2	pure	pure	PROPN
ejpam-5507	488	3	appl	appl	PROPN
ejpam-5507	488	4	.	.	PROPN
ejpam-5507	488	5	math	math	PROPN
ejpam-5507	488	6	,	,	PUNCT
ejpam-5507	488	7	17	17	NUM
ejpam-5507	488	8	(	(	PUNCT
ejpam-5507	488	9	4	4	NUM
ejpam-5507	488	10	)	)	PUNCT
ejpam-5507	488	11	(	(	PUNCT
ejpam-5507	488	12	2024	2024	NUM
ejpam-5507	488	13	)	)	PUNCT
ejpam-5507	488	14	,	,	PUNCT
ejpam-5507	488	15	3945	3945	NUM
ejpam-5507	488	16	-	-	SYM
ejpam-5507	488	17	3972	3972	NUM
ejpam-5507	488	18	3963	3963	NUM
ejpam-5507	488	19	∆3(x2	∆3(x2	PROPN
ejpam-5507	488	20	)	)	PUNCT
ejpam-5507	488	21	=	=	SYM
ejpam-5507	489	1	αβ2x	αβ2x	NUM
ejpam-5507	489	2	β2	β2	NOUN
ejpam-5507	489	3	2i	2i	NOUN
ejpam-5507	489	4	ln(x2i)(1	ln(x2i)(1	PROPN
ejpam-5507	489	5	+	+	CCONJ
ejpam-5507	489	6	xβ2	xβ2	X
ejpam-5507	489	7	2i	2i	NUM
ejpam-5507	489	8	)	)	PUNCT
ejpam-5507	489	9	−(α+1	−(α+1	NOUN
ejpam-5507	489	10	)	)	PUNCT
ejpam-5507	489	11	.	.	PUNCT
ejpam-5507	490	1	the	the	DET
ejpam-5507	490	2	mles	mle	NOUN
ejpam-5507	490	3	for	for	ADP
ejpam-5507	490	4	α	α	NOUN
ejpam-5507	490	5	,	,	PUNCT
ejpam-5507	490	6	a1	a1	NOUN
ejpam-5507	490	7	,	,	PUNCT
ejpam-5507	490	8	a2	a2	PROPN
ejpam-5507	490	9	,	,	PUNCT
ejpam-5507	490	10	β1	β1	PROPN
ejpam-5507	490	11	,	,	PUNCT
ejpam-5507	490	12	and	and	CCONJ
ejpam-5507	490	13	β2	β2	NOUN
ejpam-5507	490	14	are	be	AUX
ejpam-5507	490	15	obtained	obtain	VERB
ejpam-5507	490	16	by	by	ADP
ejpam-5507	490	17	equating	equate	VERB
ejpam-5507	490	18	the	the	DET
ejpam-5507	490	19	above	above	ADJ
ejpam-5507	490	20	derivatives	derivative	NOUN
ejpam-5507	490	21	to	to	ADP
ejpam-5507	490	22	zero	zero	NUM
ejpam-5507	490	23	and	and	CCONJ
ejpam-5507	490	24	numerically	numerically	ADV
ejpam-5507	490	25	solving	solve	VERB
ejpam-5507	490	26	the	the	DET
ejpam-5507	490	27	resulting	result	VERB
ejpam-5507	490	28	equations	equation	NOUN
ejpam-5507	490	29	.	.	PUNCT
ejpam-5507	491	1	7	7	X
ejpam-5507	491	2	.	.	X
ejpam-5507	491	3	real	real	ADJ
ejpam-5507	491	4	data	datum	NOUN
ejpam-5507	491	5	application	application	NOUN
ejpam-5507	491	6	in	in	ADP
ejpam-5507	491	7	this	this	DET
ejpam-5507	491	8	section	section	NOUN
ejpam-5507	491	9	,	,	PUNCT
ejpam-5507	491	10	we	we	PRON
ejpam-5507	491	11	have	have	AUX
ejpam-5507	491	12	checked	check	VERB
ejpam-5507	491	13	the	the	DET
ejpam-5507	491	14	suitability	suitability	NOUN
ejpam-5507	491	15	of	of	ADP
ejpam-5507	491	16	the	the	DET
ejpam-5507	491	17	proposed	propose	VERB
ejpam-5507	491	18	btbb	btbb	NOUN
ejpam-5507	491	19	distribution	distribution	NOUN
ejpam-5507	491	20	by	by	ADP
ejpam-5507	491	21	using	use	VERB
ejpam-5507	491	22	three	three	NUM
ejpam-5507	491	23	data	datum	NOUN
ejpam-5507	491	24	sets	set	NOUN
ejpam-5507	491	25	.	.	PUNCT
ejpam-5507	492	1	these	these	DET
ejpam-5507	492	2	data	datum	NOUN
ejpam-5507	492	3	sets	set	NOUN
ejpam-5507	492	4	have	have	AUX
ejpam-5507	492	5	been	be	AUX
ejpam-5507	492	6	modeled	model	VERB
ejpam-5507	492	7	by	by	ADP
ejpam-5507	492	8	using	use	VERB
ejpam-5507	492	9	the	the	DET
ejpam-5507	492	10	btbb	btbb	ADJ
ejpam-5507	492	11	distribution	distribution	NOUN
ejpam-5507	492	12	alongside	alongside	ADP
ejpam-5507	492	13	five	five	NUM
ejpam-5507	492	14	other	other	ADJ
ejpam-5507	492	15	distributions	distribution	NOUN
ejpam-5507	492	16	.	.	PUNCT
ejpam-5507	493	1	the	the	DET
ejpam-5507	493	2	competing	compete	VERB
ejpam-5507	493	3	distributions	distribution	NOUN
ejpam-5507	493	4	that	that	PRON
ejpam-5507	493	5	we	we	PRON
ejpam-5507	493	6	have	have	AUX
ejpam-5507	493	7	used	use	VERB
ejpam-5507	493	8	in	in	ADP
ejpam-5507	493	9	the	the	DET
ejpam-5507	493	10	study	study	NOUN
ejpam-5507	493	11	are	be	AUX
ejpam-5507	493	12	bivariate	bivariate	ADJ
ejpam-5507	493	13	burr	burr	NOUN
ejpam-5507	493	14	(	(	PUNCT
ejpam-5507	493	15	bb	bb	NOUN
ejpam-5507	493	16	)	)	PUNCT
ejpam-5507	493	17	distribution	distribution	NOUN
ejpam-5507	493	18	by	by	ADP
ejpam-5507	493	19	durling	durle	VERB
ejpam-5507	493	20	[	[	X
ejpam-5507	493	21	13],bivariate	13],bivariate	PROPN
ejpam-5507	493	22	lomax	lomax	NOUN
ejpam-5507	493	23	(	(	PUNCT
ejpam-5507	493	24	bl	bl	PROPN
ejpam-5507	493	25	)	)	PUNCT
ejpam-5507	493	26	,	,	PUNCT
ejpam-5507	493	27	bivariate	bivariate	ADJ
ejpam-5507	493	28	log	log	NOUN
ejpam-5507	493	29	logistic	logistic	NOUN
ejpam-5507	493	30	(	(	PUNCT
ejpam-5507	493	31	bl	bl	NOUN
ejpam-5507	493	32	-	-	PUNCT
ejpam-5507	493	33	l	l	NOUN
ejpam-5507	493	34	)	)	PUNCT
ejpam-5507	493	35	,	,	PUNCT
ejpam-5507	493	36	bivariate	bivariate	ADJ
ejpam-5507	493	37	transmuted	transmuted	ADJ
ejpam-5507	493	38	burr	burr	NOUN
ejpam-5507	493	39	(	(	PUNCT
ejpam-5507	493	40	btb	btb	NOUN
ejpam-5507	493	41	)	)	PUNCT
ejpam-5507	493	42	,	,	PUNCT
ejpam-5507	493	43	and	and	CCONJ
ejpam-5507	493	44	bivariate	bivariate	ADJ
ejpam-5507	493	45	transmuted	transmuted	ADJ
ejpam-5507	493	46	weibull	weibull	NOUN
ejpam-5507	493	47	(	(	PUNCT
ejpam-5507	493	48	btw	btw	ADJ
ejpam-5507	493	49	)	)	PUNCT
ejpam-5507	493	50	distribution	distribution	NOUN
ejpam-5507	493	51	.	.	PUNCT
ejpam-5507	494	1	the	the	DET
ejpam-5507	494	2	distributions	distribution	NOUN
ejpam-5507	494	3	are	be	AUX
ejpam-5507	494	4	fitted	fit	VERB
ejpam-5507	494	5	by	by	ADP
ejpam-5507	494	6	computing	compute	VERB
ejpam-5507	494	7	the	the	DET
ejpam-5507	494	8	mles	mle	NOUN
ejpam-5507	494	9	of	of	ADP
ejpam-5507	494	10	the	the	DET
ejpam-5507	494	11	parameters	parameter	NOUN
ejpam-5507	494	12	.	.	PUNCT
ejpam-5507	495	1	to	to	PART
ejpam-5507	495	2	compare	compare	VERB
ejpam-5507	495	3	the	the	DET
ejpam-5507	495	4	performance	performance	NOUN
ejpam-5507	495	5	of	of	ADP
ejpam-5507	495	6	the	the	DET
ejpam-5507	495	7	proposed	propose	VERB
ejpam-5507	495	8	btbb	btbb	ADJ
ejpam-5507	495	9	distribution	distribution	NOUN
ejpam-5507	495	10	with	with	ADP
ejpam-5507	495	11	the	the	DET
ejpam-5507	495	12	competing	compete	VERB
ejpam-5507	495	13	distributions	distribution	NOUN
ejpam-5507	495	14	,	,	PUNCT
ejpam-5507	495	15	we	we	PRON
ejpam-5507	495	16	calculated	calculate	VERB
ejpam-5507	495	17	akaike	akaike	ADP
ejpam-5507	495	18	’s	’s	PART
ejpam-5507	495	19	information	information	NOUN
ejpam-5507	495	20	criteria	criterion	NOUN
ejpam-5507	495	21	(	(	PUNCT
ejpam-5507	495	22	aic	aic	PROPN
ejpam-5507	495	23	)	)	PUNCT
ejpam-5507	495	24	and	and	CCONJ
ejpam-5507	495	25	bayesian	bayesian	NOUN
ejpam-5507	495	26	information	information	NOUN
ejpam-5507	495	27	criteria	criterion	NOUN
ejpam-5507	495	28	(	(	PUNCT
ejpam-5507	495	29	bic	bic	PROPN
ejpam-5507	495	30	)	)	PUNCT
ejpam-5507	495	31	for	for	ADP
ejpam-5507	495	32	each	each	DET
ejpam-5507	495	33	model	model	NOUN
ejpam-5507	495	34	.	.	PUNCT
ejpam-5507	496	1	the	the	DET
ejpam-5507	496	2	best	good	ADJ
ejpam-5507	496	3	model	model	NOUN
ejpam-5507	496	4	has	have	VERB
ejpam-5507	496	5	the	the	DET
ejpam-5507	496	6	smallest	small	ADJ
ejpam-5507	496	7	aic	aic	PROPN
ejpam-5507	496	8	and	and	CCONJ
ejpam-5507	496	9	bic	bic	PROPN
ejpam-5507	496	10	.	.	PUNCT
ejpam-5507	497	1	the	the	DET
ejpam-5507	497	2	application	application	NOUN
ejpam-5507	497	3	on	on	ADP
ejpam-5507	497	4	the	the	DET
ejpam-5507	497	5	real	real	ADJ
ejpam-5507	497	6	data	data	NOUN
ejpam-5507	497	7	sets	set	NOUN
ejpam-5507	497	8	are	be	AUX
ejpam-5507	497	9	given	give	VERB
ejpam-5507	497	10	in	in	ADP
ejpam-5507	497	11	the	the	DET
ejpam-5507	497	12	following	following	NOUN
ejpam-5507	497	13	.	.	PUNCT
ejpam-5507	498	1	7.1	7.1	NUM
ejpam-5507	498	2	.	.	PUNCT
ejpam-5507	499	1	patients	patient	NOUN
ejpam-5507	499	2	data	data	VERB
ejpam-5507	499	3	this	this	DET
ejpam-5507	499	4	data	datum	NOUN
ejpam-5507	499	5	set	set	VERB
ejpam-5507	499	6	refers	refer	VERB
ejpam-5507	499	7	to	to	ADP
ejpam-5507	499	8	30	30	NUM
ejpam-5507	499	9	patients	patient	NOUN
ejpam-5507	499	10	set	set	VERB
ejpam-5507	499	11	from	from	ADP
ejpam-5507	499	12	[	[	X
ejpam-5507	499	13	21	21	NUM
ejpam-5507	499	14	]	]	PUNCT
ejpam-5507	499	15	.	.	PUNCT
ejpam-5507	500	1	the	the	DET
ejpam-5507	500	2	first	first	ADJ
ejpam-5507	500	3	recurrence	recurrence	NOUN
ejpam-5507	500	4	time	time	NOUN
ejpam-5507	500	5	is	be	AUX
ejpam-5507	500	6	represented	represent	VERB
ejpam-5507	500	7	by	by	ADP
ejpam-5507	500	8	x1	x1	PROPN
ejpam-5507	500	9	,	,	PUNCT
ejpam-5507	500	10	and	and	CCONJ
ejpam-5507	500	11	the	the	DET
ejpam-5507	500	12	asecond	asecond	NOUN
ejpam-5507	500	13	recurrence	recurrence	NOUN
ejpam-5507	500	14	time	time	NOUN
ejpam-5507	500	15	is	be	AUX
ejpam-5507	500	16	represented	represent	VERB
ejpam-5507	500	17	by	by	ADP
ejpam-5507	500	18	x2	x2	PROPN
ejpam-5507	500	19	.	.	PUNCT
ejpam-5507	501	1	table	table	NOUN
ejpam-5507	501	2	3	3	NUM
ejpam-5507	501	3	contains	contain	VERB
ejpam-5507	501	4	the	the	DET
ejpam-5507	501	5	mle	mle	NOUN
ejpam-5507	501	6	of	of	ADP
ejpam-5507	501	7	the	the	DET
ejpam-5507	501	8	parameters	parameter	NOUN
ejpam-5507	501	9	while	while	SCONJ
ejpam-5507	501	10	table	table	NOUN
ejpam-5507	501	11	4	4	NUM
ejpam-5507	501	12	provides	provide	VERB
ejpam-5507	501	13	the	the	DET
ejpam-5507	501	14	computed	computed	ADJ
ejpam-5507	501	15	values	value	NOUN
ejpam-5507	501	16	of	of	ADP
ejpam-5507	501	17	aic	aic	PROPN
ejpam-5507	501	18	and	and	CCONJ
ejpam-5507	501	19	bic	bic	PROPN
ejpam-5507	501	20	.	.	PUNCT
ejpam-5507	502	1	it	it	PRON
ejpam-5507	502	2	is	be	AUX
ejpam-5507	502	3	easy	easy	ADJ
ejpam-5507	502	4	to	to	PART
ejpam-5507	502	5	see	see	VERB
ejpam-5507	502	6	,	,	PUNCT
ejpam-5507	502	7	from	from	ADP
ejpam-5507	502	8	table	table	NOUN
ejpam-5507	502	9	4	4	NUM
ejpam-5507	502	10	,	,	PUNCT
ejpam-5507	502	11	that	that	SCONJ
ejpam-5507	502	12	the	the	DET
ejpam-5507	502	13	btbb	btbb	ADJ
ejpam-5507	502	14	distribution	distribution	NOUN
ejpam-5507	502	15	has	have	VERB
ejpam-5507	502	16	the	the	DET
ejpam-5507	502	17	smallest	small	ADJ
ejpam-5507	502	18	values	value	NOUN
ejpam-5507	502	19	of	of	ADP
ejpam-5507	502	20	aic	aic	PROPN
ejpam-5507	502	21	and	and	CCONJ
ejpam-5507	502	22	bic	bic	PROPN
ejpam-5507	502	23	,	,	PUNCT
ejpam-5507	502	24	and	and	CCONJ
ejpam-5507	502	25	hence	hence	ADV
ejpam-5507	502	26	is	be	AUX
ejpam-5507	502	27	the	the	DET
ejpam-5507	502	28	best	good	ADJ
ejpam-5507	502	29	fit	fit	NOUN
ejpam-5507	502	30	for	for	ADP
ejpam-5507	502	31	this	this	DET
ejpam-5507	502	32	data	datum	NOUN
ejpam-5507	502	33	.	.	PUNCT
ejpam-5507	503	1	7.2	7.2	NUM
ejpam-5507	503	2	.	.	PUNCT
ejpam-5507	504	1	gross	gross	ADJ
ejpam-5507	504	2	national	national	ADJ
ejpam-5507	504	3	income	income	NOUN
ejpam-5507	504	4	data	datum	NOUN
ejpam-5507	504	5	this	this	DET
ejpam-5507	504	6	data	datum	NOUN
ejpam-5507	504	7	represents	represent	VERB
ejpam-5507	504	8	the	the	DET
ejpam-5507	504	9	gross	gross	ADJ
ejpam-5507	504	10	national	national	ADJ
ejpam-5507	504	11	income	income	NOUN
ejpam-5507	504	12	of	of	ADP
ejpam-5507	504	13	all	all	DET
ejpam-5507	504	14	countries	country	NOUN
ejpam-5507	504	15	of	of	ADP
ejpam-5507	504	16	the	the	DET
ejpam-5507	504	17	world	world	NOUN
ejpam-5507	504	18	having	have	VERB
ejpam-5507	504	19	191	191	NUM
ejpam-5507	504	20	observations	observation	NOUN
ejpam-5507	504	21	.	.	PUNCT
ejpam-5507	505	1	in	in	ADP
ejpam-5507	505	2	the	the	DET
ejpam-5507	505	3	data	datum	NOUN
ejpam-5507	505	4	set	set	VERB
ejpam-5507	505	5	,	,	PUNCT
ejpam-5507	505	6	x1	x1	PROPN
ejpam-5507	505	7	represents	represent	VERB
ejpam-5507	505	8	the	the	DET
ejpam-5507	505	9	gross	gross	ADJ
ejpam-5507	505	10	national	national	ADJ
ejpam-5507	505	11	income	income	NOUN
ejpam-5507	505	12	for	for	ADP
ejpam-5507	505	13	year	year	NOUN
ejpam-5507	505	14	2016	2016	NUM
ejpam-5507	505	15	andx2	andx2	NOUN
ejpam-5507	505	16	represents	represent	VERB
ejpam-5507	505	17	the	the	DET
ejpam-5507	505	18	gross	gross	ADJ
ejpam-5507	505	19	national	national	ADJ
ejpam-5507	505	20	income	income	NOUN
ejpam-5507	505	21	for	for	ADP
ejpam-5507	505	22	2017	2017	NUM
ejpam-5507	505	23	.	.	PUNCT
ejpam-5507	506	1	themles	themle	NOUN
ejpam-5507	506	2	of	of	ADP
ejpam-5507	506	3	various	various	ADJ
ejpam-5507	506	4	distributions	distribution	NOUN
ejpam-5507	506	5	are	be	AUX
ejpam-5507	506	6	given	give	VERB
ejpam-5507	506	7	in	in	ADP
ejpam-5507	506	8	table	table	NOUN
ejpam-5507	506	9	5	5	NUM
ejpam-5507	506	10	and	and	CCONJ
ejpam-5507	506	11	the	the	DET
ejpam-5507	506	12	computed	computed	ADJ
ejpam-5507	506	13	values	value	NOUN
ejpam-5507	506	14	of	of	ADP
ejpam-5507	506	15	aic	aic	PROPN
ejpam-5507	506	16	and	and	CCONJ
ejpam-5507	506	17	bic	bic	PROPN
ejpam-5507	506	18	are	be	AUX
ejpam-5507	506	19	given	give	VERB
ejpam-5507	506	20	in	in	ADP
ejpam-5507	506	21	table	table	NOUN
ejpam-5507	506	22	6	6	NUM
ejpam-5507	506	23	.	.	PUNCT
ejpam-5507	506	24	from	from	ADP
ejpam-5507	506	25	table	table	NOUN
ejpam-5507	506	26	6	6	NUM
ejpam-5507	506	27	,	,	PUNCT
ejpam-5507	506	28	it	it	PRON
ejpam-5507	506	29	is	be	AUX
ejpam-5507	506	30	clear	clear	ADJ
ejpam-5507	506	31	that	that	SCONJ
ejpam-5507	506	32	the	the	DET
ejpam-5507	506	33	btbb	btbb	ADJ
ejpam-5507	506	34	distribution	distribution	NOUN
ejpam-5507	506	35	is	be	AUX
ejpam-5507	506	36	the	the	DET
ejpam-5507	506	37	best	well	ADV
ejpam-5507	506	38	fitted	fit	VERB
ejpam-5507	506	39	distribution	distribution	NOUN
ejpam-5507	506	40	as	as	SCONJ
ejpam-5507	506	41	it	it	PRON
ejpam-5507	506	42	has	have	VERB
ejpam-5507	506	43	the	the	DET
ejpam-5507	506	44	smallest	small	ADJ
ejpam-5507	506	45	values	value	NOUN
ejpam-5507	506	46	of	of	ADP
ejpam-5507	506	47	aic	aic	PROPN
ejpam-5507	506	48	and	and	CCONJ
ejpam-5507	506	49	bic	bic	PROPN
ejpam-5507	506	50	.	.	PUNCT
ejpam-5507	507	1	7.3	7.3	NUM
ejpam-5507	507	2	.	.	PUNCT
ejpam-5507	508	1	breaking	break	VERB
ejpam-5507	508	2	strength	strength	NOUN
ejpam-5507	508	3	of	of	ADP
ejpam-5507	508	4	fluid	fluid	ADJ
ejpam-5507	508	5	data	datum	NOUN
ejpam-5507	508	6	the	the	DET
ejpam-5507	508	7	third	third	ADJ
ejpam-5507	508	8	data	datum	NOUN
ejpam-5507	508	9	set	set	VERB
ejpam-5507	508	10	is	be	AUX
ejpam-5507	508	11	breaking	break	VERB
ejpam-5507	508	12	strength	strength	NOUN
ejpam-5507	508	13	of	of	ADP
ejpam-5507	508	14	fluid	fluid	NOUN
ejpam-5507	508	15	,	,	PUNCT
ejpam-5507	508	16	and	and	CCONJ
ejpam-5507	508	17	its	its	PRON
ejpam-5507	508	18	size	size	NOUN
ejpam-5507	508	19	is	be	AUX
ejpam-5507	508	20	70	70	NUM
ejpam-5507	508	21	.	.	PUNCT
ejpam-5507	509	1	in	in	ADP
ejpam-5507	509	2	this	this	DET
ejpam-5507	509	3	data	data	NOUN
ejpam-5507	509	4	,	,	PUNCT
ejpam-5507	509	5	x1	x1	PROPN
ejpam-5507	509	6	denotes	denote	VERB
ejpam-5507	509	7	the	the	DET
ejpam-5507	509	8	force	force	NOUN
ejpam-5507	509	9	while	while	SCONJ
ejpam-5507	509	10	x2	x2	PROPN
ejpam-5507	509	11	denotes	denote	VERB
ejpam-5507	509	12	the	the	DET
ejpam-5507	509	13	fluid	fluid	NOUN
ejpam-5507	509	14	’s	’s	PART
ejpam-5507	509	15	breaking	break	VERB
ejpam-5507	509	16	strength	strength	NOUN
ejpam-5507	509	17	.	.	PUNCT
ejpam-5507	510	1	the	the	DET
ejpam-5507	510	2	mle′s	mle′s	NOUN
ejpam-5507	510	3	of	of	ADP
ejpam-5507	510	4	different	different	ADJ
ejpam-5507	510	5	distributions	distribution	NOUN
ejpam-5507	510	6	are	be	AUX
ejpam-5507	510	7	given	give	VERB
ejpam-5507	510	8	in	in	ADP
ejpam-5507	510	9	table	table	NOUN
ejpam-5507	510	10	7	7	NUM
ejpam-5507	510	11	while	while	SCONJ
ejpam-5507	510	12	table	table	NOUN
ejpam-5507	510	13	8	8	NUM
ejpam-5507	510	14	contains	contain	VERB
ejpam-5507	510	15	the	the	DET
ejpam-5507	510	16	computed	computed	ADJ
ejpam-5507	510	17	values	value	NOUN
ejpam-5507	510	18	of	of	ADP
ejpam-5507	510	19	aic	aic	PROPN
ejpam-5507	510	20	and	and	CCONJ
ejpam-5507	510	21	bic	bic	PROPN
ejpam-5507	510	22	.	.	PUNCT
ejpam-5507	511	1	from	from	ADP
ejpam-5507	511	2	table8	table8	PROPN
ejpam-5507	511	3	,	,	PUNCT
ejpam-5507	511	4	it	it	PRON
ejpam-5507	511	5	is	be	AUX
ejpam-5507	511	6	obvious	obvious	ADJ
ejpam-5507	511	7	that	that	SCONJ
ejpam-5507	511	8	the	the	DET
ejpam-5507	511	9	btbb	btbb	ADJ
ejpam-5507	511	10	distribution	distribution	NOUN
ejpam-5507	511	11	is	be	AUX
ejpam-5507	511	12	the	the	DET
ejpam-5507	511	13	best	good	ADJ
ejpam-5507	511	14	fit	fit	NOUN
ejpam-5507	511	15	for	for	ADP
ejpam-5507	511	16	the	the	DET
ejpam-5507	511	17	third	third	ADJ
ejpam-5507	511	18	data	datum	NOUN
ejpam-5507	511	19	also	also	ADV
ejpam-5507	511	20	since	since	SCONJ
ejpam-5507	511	21	it	it	PRON
ejpam-5507	511	22	has	have	VERB
ejpam-5507	511	23	the	the	DET
ejpam-5507	511	24	smallest	small	ADJ
ejpam-5507	511	25	values	value	NOUN
ejpam-5507	511	26	of	of	ADP
ejpam-5507	511	27	aic	aic	PROPN
ejpam-5507	511	28	and	and	CCONJ
ejpam-5507	511	29	bic	bic	PROPN
ejpam-5507	511	30	values	value	NOUN
ejpam-5507	511	31	.	.	PUNCT
ejpam-5507	512	1	in	in	ADP
ejpam-5507	512	2	order	order	NOUN
ejpam-5507	512	3	to	to	PART
ejpam-5507	512	4	assess	assess	VERB
ejpam-5507	512	5	whether	whether	SCONJ
ejpam-5507	512	6	the	the	DET
ejpam-5507	512	7	btbb	btbb	NOUN
ejpam-5507	512	8	is	be	AUX
ejpam-5507	512	9	an	an	DET
ejpam-5507	512	10	appropriate	appropriate	ADJ
ejpam-5507	512	11	model	model	NOUN
ejpam-5507	512	12	,	,	PUNCT
ejpam-5507	512	13	we	we	PRON
ejpam-5507	512	14	have	have	AUX
ejpam-5507	512	15	given	give	VERB
ejpam-5507	512	16	plots	plot	NOUN
ejpam-5507	512	17	of	of	ADP
ejpam-5507	512	18	e.	e.	PROPN
ejpam-5507	512	19	alsulami	alsulami	PROPN
ejpam-5507	512	20	,	,	PUNCT
ejpam-5507	512	21	l.	l.	PROPN
ejpam-5507	512	22	al	al	PROPN
ejpam-5507	512	23	-	-	PUNCT
ejpam-5507	512	24	turk	turk	PROPN
ejpam-5507	512	25	,	,	PUNCT
ejpam-5507	512	26	m.	m.	NOUN
ejpam-5507	512	27	q.	q.	PROPN
ejpam-5507	512	28	shahbaz	shahbaz	PROPN
ejpam-5507	512	29	/	/	SYM
ejpam-5507	512	30	eur	eur	PROPN
ejpam-5507	512	31	.	.	PUNCT
ejpam-5507	513	1	j.	j.	PROPN
ejpam-5507	513	2	pure	pure	PROPN
ejpam-5507	513	3	appl	appl	PROPN
ejpam-5507	513	4	.	.	PROPN
ejpam-5507	513	5	math	math	PROPN
ejpam-5507	513	6	,	,	PUNCT
ejpam-5507	513	7	17	17	NUM
ejpam-5507	513	8	(	(	PUNCT
ejpam-5507	513	9	4	4	NUM
ejpam-5507	513	10	)	)	PUNCT
ejpam-5507	513	11	(	(	PUNCT
ejpam-5507	513	12	2024	2024	NUM
ejpam-5507	513	13	)	)	PUNCT
ejpam-5507	513	14	,	,	PUNCT
ejpam-5507	513	15	3945	3945	NUM
ejpam-5507	513	16	-	-	SYM
ejpam-5507	513	17	3972	3972	NUM
ejpam-5507	513	18	3964	3964	NUM
ejpam-5507	513	19	original	original	ADJ
ejpam-5507	513	20	data	datum	NOUN
ejpam-5507	513	21	and	and	CCONJ
ejpam-5507	513	22	the	the	DET
ejpam-5507	513	23	fitted	fit	VERB
ejpam-5507	513	24	btbb	btbb	ADJ
ejpam-5507	513	25	distribution	distribution	NOUN
ejpam-5507	513	26	in	in	ADP
ejpam-5507	513	27	table	table	NOUN
ejpam-5507	513	28	9	9	NUM
ejpam-5507	513	29	.	.	PUNCT
ejpam-5507	514	1	from	from	ADP
ejpam-5507	514	2	these	these	DET
ejpam-5507	514	3	plots	plot	NOUN
ejpam-5507	514	4	,	,	PUNCT
ejpam-5507	514	5	we	we	PRON
ejpam-5507	514	6	conclude	conclude	VERB
ejpam-5507	514	7	that	that	SCONJ
ejpam-5507	514	8	the	the	DET
ejpam-5507	514	9	btbb	btbb	ADJ
ejpam-5507	514	10	distribution	distribution	NOUN
ejpam-5507	514	11	provides	provide	VERB
ejpam-5507	514	12	a	a	DET
ejpam-5507	514	13	good	good	ADJ
ejpam-5507	514	14	fit	fit	NOUN
ejpam-5507	514	15	to	to	ADP
ejpam-5507	514	16	the	the	DET
ejpam-5507	514	17	three	three	NUM
ejpam-5507	514	18	data	datum	NOUN
ejpam-5507	514	19	sets	set	NOUN
ejpam-5507	514	20	.	.	PUNCT
ejpam-5507	515	1	table	table	NOUN
ejpam-5507	515	2	3	3	NUM
ejpam-5507	515	3	:	:	PUNCT
ejpam-5507	515	4	maximum	maximum	ADJ
ejpam-5507	515	5	likelihood	likelihood	NOUN
ejpam-5507	515	6	estimation	estimation	NOUN
ejpam-5507	515	7	and	and	CCONJ
ejpam-5507	515	8	standard	standard	ADJ
ejpam-5507	515	9	error	error	NOUN
ejpam-5507	515	10	for	for	ADP
ejpam-5507	515	11	given	give	VERB
ejpam-5507	515	12	distributions	distribution	NOUN
ejpam-5507	515	13	.	.	PUNCT
ejpam-5507	516	1	distribution	distribution	NOUN
ejpam-5507	516	2	parameter	parameter	NOUN
ejpam-5507	516	3	estimate	estimate	VERB
ejpam-5507	516	4	standard	standard	ADJ
ejpam-5507	516	5	error	error	NOUN
ejpam-5507	516	6	btbb	btbb	NOUN
ejpam-5507	516	7	a1	a1	NOUN
ejpam-5507	516	8	a2	a2	PROPN
ejpam-5507	516	9	α	α	PROPN
ejpam-5507	516	10	β1	β1	PROPN
ejpam-5507	516	11	β2	β2	VERB
ejpam-5507	516	12	6.099633	6.099633	NUM
ejpam-5507	516	13	1.196423	1.196423	NUM
ejpam-5507	516	14	0.035319	0.035319	NUM
ejpam-5507	516	15	2.942372	2.942372	NUM
ejpam-5507	516	16	17.900089	17.900089	NUM
ejpam-5507	516	17	3.757314	3.757314	NUM
ejpam-5507	517	1	0.079680	0.079680	NUM
ejpam-5507	517	2	0.004062	0.004062	NUM
ejpam-5507	517	3	1.055427	1.055427	NUM
ejpam-5507	517	4	1.115601	1.115601	NUM
ejpam-5507	517	5	bb	bb	NOUN
ejpam-5507	517	6	α	α	PRON
ejpam-5507	517	7	β1	β1	PROPN
ejpam-5507	517	8	β1	β1	PROPN
ejpam-5507	517	9	0.24009	0.24009	NUM
ejpam-5507	517	10	1.01058	1.01058	NUM
ejpam-5507	517	11	1.00785	1.00785	NUM
ejpam-5507	517	12	0.05489	0.05489	NUM
ejpam-5507	517	13	0.14462	0.14462	NUM
ejpam-5507	517	14	0.14352	0.14352	NUM
ejpam-5507	517	15	bl	bl	NOUN
ejpam-5507	517	16	α	α	NOUN
ejpam-5507	517	17	0.2437	0.2437	NUM
ejpam-5507	517	18	0.04343	0.04343	NUM
ejpam-5507	517	19	bl	bl	PROPN
ejpam-5507	517	20	-	-	PUNCT
ejpam-5507	517	21	l	l	NOUN
ejpam-5507	517	22	β1	β1	NOUN
ejpam-5507	517	23	β1	β1	NOUN
ejpam-5507	518	1	0.48789	0.48789	NUM
ejpam-5507	518	2	0.48784	0.48784	NUM
ejpam-5507	518	3	0.05733	0.05733	NUM
ejpam-5507	518	4	0.05713	0.05713	NUM
ejpam-5507	518	5	btb	btb	NOUN
ejpam-5507	518	6	c	c	PROPN
ejpam-5507	518	7	k	k	PROPN
ejpam-5507	518	8	λ1	λ1	PROPN
ejpam-5507	518	9	λ2	λ2	PROPN
ejpam-5507	518	10	λ3	λ3	PROPN
ejpam-5507	518	11	0.61384	0.61384	NUM
ejpam-5507	518	12	0.57343	0.57343	NUM
ejpam-5507	518	13	-0.10532	-0.10532	NOUN
ejpam-5507	518	14	-0.66142	-0.66142	NOUN
ejpam-5507	518	15	-0.06115	-0.06115	PROPN
ejpam-5507	519	1	0.13757	0.13757	NUM
ejpam-5507	519	2	0.16657	0.16657	NUM
ejpam-5507	519	3	4.61707	4.61707	NUM
ejpam-5507	519	4	4.19430	4.19430	NUM
ejpam-5507	519	5	4.32286	4.32286	NUM
ejpam-5507	519	6	btw	btw	ADJ
ejpam-5507	519	7	α1	α1	PROPN
ejpam-5507	519	8	α2	α2	PROPN
ejpam-5507	519	9	θ1	θ1	NOUN
ejpam-5507	519	10	θ2	θ2	PROPN
ejpam-5507	519	11	λ1	λ1	PROPN
ejpam-5507	519	12	λ2	λ2	PROPN
ejpam-5507	520	1	λ3	λ3	PROPN
ejpam-5507	520	2	0.14116	0.14116	NUM
ejpam-5507	520	3	0.08136	0.08136	NUM
ejpam-5507	520	4	0.09075	0.09075	NUM
ejpam-5507	520	5	0.02337	0.02337	NUM
ejpam-5507	520	6	-0.07125	-0.07125	NOUN
ejpam-5507	520	7	-0.02464	-0.02464	PUNCT
ejpam-5507	520	8	-0.09762	-0.09762	NOUN
ejpam-5507	521	1	0.01599	0.01599	NUM
ejpam-5507	521	2	0.01173	0.01173	NUM
ejpam-5507	521	3	0.04044	0.04044	NUM
ejpam-5507	521	4	0.01651	0.01651	NUM
ejpam-5507	521	5	2.46306	2.46306	NUM
ejpam-5507	521	6	2.47251	2.47251	NUM
ejpam-5507	521	7	3.21034	3.21034	NUM
ejpam-5507	521	8	table	table	NOUN
ejpam-5507	521	9	4	4	NUM
ejpam-5507	521	10	:	:	PUNCT
ejpam-5507	521	11	akaike	akaike	ADJ
ejpam-5507	521	12	’s	’s	ADV
ejpam-5507	521	13	and	and	CCONJ
ejpam-5507	521	14	bayesian	bayesian	VERB
ejpam-5507	521	15	information	information	NOUN
ejpam-5507	521	16	criteria	criterion	NOUN
ejpam-5507	521	17	for	for	ADP
ejpam-5507	521	18	given	give	VERB
ejpam-5507	521	19	distributions	distribution	NOUN
ejpam-5507	521	20	distribution	distribution	NOUN
ejpam-5507	521	21	log	log	NOUN
ejpam-5507	521	22	-	-	PUNCT
ejpam-5507	521	23	lik	lik	PROPN
ejpam-5507	521	24	aic	aic	PROPN
ejpam-5507	521	25	bic	bic	PROPN
ejpam-5507	521	26	btbb	btbb	PROPN
ejpam-5507	521	27	-352.2676	-352.2676	VERB
ejpam-5507	521	28	714.5352	714.5352	NUM
ejpam-5507	521	29	721.5412	721.5412	NUM
ejpam-5507	522	1	bb	bb	NOUN
ejpam-5507	522	2	-367.7602	-367.7602	NOUN
ejpam-5507	522	3	741.5204	741.5204	NUM
ejpam-5507	522	4	745.724	745.724	NUM
ejpam-5507	522	5	bl	bl	NOUN
ejpam-5507	522	6	-367.7632	-367.7632	PROPN
ejpam-5507	522	7	737.5263	737.5263	NUM
ejpam-5507	522	8	738.9276	738.9276	NUM
ejpam-5507	522	9	bl	bl	NOUN
ejpam-5507	522	10	-	-	PUNCT
ejpam-5507	522	11	l	l	NOUN
ejpam-5507	522	12	-391.7709	-391.7709	NOUN
ejpam-5507	523	1	787.5418	787.5418	NUM
ejpam-5507	523	2	790.3442	790.3442	NUM
ejpam-5507	523	3	btb	btb	NOUN
ejpam-5507	523	4	-381.0651	-381.0651	NOUN
ejpam-5507	523	5	772.1303	772.1303	NUM
ejpam-5507	523	6	779.1362	779.1362	NUM
ejpam-5507	523	7	btw	btw	ADV
ejpam-5507	523	8	-455.7447	-455.7447	PROPN
ejpam-5507	523	9	925.4893	925.4893	NUM
ejpam-5507	523	10	935.2978	935.2978	NUM
ejpam-5507	523	11	e.	e.	PROPN
ejpam-5507	523	12	alsulami	alsulami	PROPN
ejpam-5507	523	13	,	,	PUNCT
ejpam-5507	523	14	l.	l.	PROPN
ejpam-5507	523	15	al	al	PROPN
ejpam-5507	523	16	-	-	PUNCT
ejpam-5507	523	17	turk	turk	PROPN
ejpam-5507	523	18	,	,	PUNCT
ejpam-5507	523	19	m.	m.	NOUN
ejpam-5507	523	20	q.	q.	PROPN
ejpam-5507	523	21	shahbaz	shahbaz	PROPN
ejpam-5507	523	22	/	/	SYM
ejpam-5507	523	23	eur	eur	PROPN
ejpam-5507	523	24	.	.	PUNCT
ejpam-5507	524	1	j.	j.	PROPN
ejpam-5507	524	2	pure	pure	PROPN
ejpam-5507	524	3	appl	appl	PROPN
ejpam-5507	524	4	.	.	PROPN
ejpam-5507	524	5	math	math	PROPN
ejpam-5507	524	6	,	,	PUNCT
ejpam-5507	524	7	17	17	NUM
ejpam-5507	524	8	(	(	PUNCT
ejpam-5507	524	9	4	4	NUM
ejpam-5507	524	10	)	)	PUNCT
ejpam-5507	524	11	(	(	PUNCT
ejpam-5507	524	12	2024	2024	NUM
ejpam-5507	524	13	)	)	PUNCT
ejpam-5507	524	14	,	,	PUNCT
ejpam-5507	524	15	3945	3945	NUM
ejpam-5507	524	16	-	-	SYM
ejpam-5507	524	17	3972	3972	NUM
ejpam-5507	524	18	3965	3965	NUM
ejpam-5507	524	19	table	table	NOUN
ejpam-5507	524	20	5	5	NUM
ejpam-5507	524	21	:	:	PUNCT
ejpam-5507	524	22	maximum	maximum	ADJ
ejpam-5507	524	23	likelihood	likelihood	NOUN
ejpam-5507	524	24	estimation	estimation	NOUN
ejpam-5507	524	25	and	and	CCONJ
ejpam-5507	524	26	standard	standard	ADJ
ejpam-5507	524	27	error	error	NOUN
ejpam-5507	524	28	for	for	ADP
ejpam-5507	524	29	given	give	VERB
ejpam-5507	524	30	distributions	distribution	NOUN
ejpam-5507	524	31	distribution	distribution	NOUN
ejpam-5507	524	32	parameter	parameter	NOUN
ejpam-5507	524	33	estimate	estimate	NOUN
ejpam-5507	525	1	standard	standard	ADJ
ejpam-5507	525	2	error	error	NOUN
ejpam-5507	525	3	btbb	btbb	NOUN
ejpam-5507	525	4	a1	a1	NOUN
ejpam-5507	525	5	a2	a2	PROPN
ejpam-5507	525	6	α	α	PROPN
ejpam-5507	525	7	β1	β1	PROPN
ejpam-5507	525	8	β1	β1	PROPN
ejpam-5507	525	9	4.451e+03	4.451e+03	NOUN
ejpam-5507	525	10	7.187e+03	7.187e+03	NUM
ejpam-5507	525	11	3.767e-02	3.767e-02	NUM
ejpam-5507	525	12	2.855	2.855	NUM
ejpam-5507	525	13	2.718	2.718	NUM
ejpam-5507	525	14	1.024	1.024	NUM
ejpam-5507	525	15	1.274	1.274	NUM
ejpam-5507	525	16	3.447e-03	3.447e-03	NUM
ejpam-5507	525	17	5.850e-03	5.850e-03	NUM
ejpam-5507	525	18	5.607e-02	5.607e-02	NUM
ejpam-5507	525	19	bb	bb	NUM
ejpam-5507	525	20	α	α	PRON
ejpam-5507	525	21	β1	β1	PROPN
ejpam-5507	525	22	β1	β1	VERB
ejpam-5507	525	23	1.02615	1.02615	NUM
ejpam-5507	525	24	1.73827	1.73827	NUM
ejpam-5507	525	25	1.72734	1.72734	NUM
ejpam-5507	525	26	0.07057	0.07057	NUM
ejpam-5507	525	27	0.09080	0.09080	NUM
ejpam-5507	525	28	0.09005	0.09005	NUM
ejpam-5507	525	29	bl	bl	NOUN
ejpam-5507	525	30	α	α	X
ejpam-5507	525	31	1.26400	1.26400	NUM
ejpam-5507	525	32	0.07984	0.07984	NUM
ejpam-5507	525	33	bl	bl	PROPN
ejpam-5507	525	34	-	-	PUNCT
ejpam-5507	525	35	l	l	NOUN
ejpam-5507	525	36	β1	β1	PROPN
ejpam-5507	525	37	β1	β1	PROPN
ejpam-5507	525	38	1.74835	1.74835	NUM
ejpam-5507	525	39	1.73769	1.73769	NUM
ejpam-5507	525	40	0.08739	0.08739	NUM
ejpam-5507	525	41	0.08659	0.08659	NUM
ejpam-5507	525	42	btb	btb	NOUN
ejpam-5507	525	43	c	c	PROPN
ejpam-5507	525	44	k	k	PROPN
ejpam-5507	525	45	λ1	λ1	PROPN
ejpam-5507	525	46	λ2	λ2	PROPN
ejpam-5507	525	47	λ3	λ3	PROPN
ejpam-5507	525	48	1.39380	1.39380	NUM
ejpam-5507	525	49	1.06489	1.06489	NUM
ejpam-5507	525	50	-0.61765	-0.61765	NOUN
ejpam-5507	525	51	-0.80989	-0.80989	PROPN
ejpam-5507	526	1	0.65903	0.65903	NUM
ejpam-5507	527	1	0.06815	0.06815	NUM
ejpam-5507	527	2	0.07529	0.07529	NUM
ejpam-5507	527	3	2.97112	2.97112	NUM
ejpam-5507	527	4	2.97112	2.97112	NUM
ejpam-5507	527	5	2.09854	2.09854	NUM
ejpam-5507	527	6	btw	btw	ADV
ejpam-5507	527	7	α1	α1	PROPN
ejpam-5507	527	8	α2	α2	PROPN
ejpam-5507	527	9	θ1	θ1	NOUN
ejpam-5507	527	10	θ2	θ2	PROPN
ejpam-5507	527	11	λ1	λ1	PROPN
ejpam-5507	527	12	λ2	λ2	PROPN
ejpam-5507	527	13	λ3	λ3	PROPN
ejpam-5507	527	14	0.63299	0.63299	NUM
ejpam-5507	527	15	0.41041	0.41041	NUM
ejpam-5507	527	16	0.52677	0.52677	NUM
ejpam-5507	527	17	0.32809	0.32809	NUM
ejpam-5507	527	18	-0.92304	-0.92304	NOUN
ejpam-5507	527	19	-0.28514	-0.28514	NOUN
ejpam-5507	527	20	0.39789	0.39789	NUM
ejpam-5507	527	21	0.03652	0.03652	NUM
ejpam-5507	527	22	0.02767	0.02767	NUM
ejpam-5507	527	23	0.04261	0.04261	NUM
ejpam-5507	527	24	0.03480	0.03480	NUM
ejpam-5507	527	25	2.89542	2.89542	NUM
ejpam-5507	527	26	2.96639	2.96639	NUM
ejpam-5507	527	27	2.95426	2.95426	NUM
ejpam-5507	527	28	table	table	NOUN
ejpam-5507	527	29	6	6	NUM
ejpam-5507	527	30	:	:	PUNCT
ejpam-5507	527	31	akaike	akaike	ADJ
ejpam-5507	527	32	’s	’s	ADV
ejpam-5507	527	33	and	and	CCONJ
ejpam-5507	527	34	bayesian	bayesian	VERB
ejpam-5507	527	35	information	information	NOUN
ejpam-5507	527	36	criteria	criterion	NOUN
ejpam-5507	527	37	for	for	ADP
ejpam-5507	527	38	given	give	VERB
ejpam-5507	527	39	distributions	distribution	NOUN
ejpam-5507	527	40	distribution	distribution	NOUN
ejpam-5507	527	41	log	log	NOUN
ejpam-5507	527	42	-	-	PUNCT
ejpam-5507	527	43	lik	lik	PROPN
ejpam-5507	527	44	aic	aic	PROPN
ejpam-5507	527	45	bic	bic	PROPN
ejpam-5507	527	46	btbb	btbb	PROPN
ejpam-5507	527	47	-427.0594	-427.0594	PROPN
ejpam-5507	527	48	864.1188	864.1188	NUM
ejpam-5507	527	49	870.2132	870.2132	NUM
ejpam-5507	527	50	bb	bb	CCONJ
ejpam-5507	527	51	-505.2134	-505.2134	PROPN
ejpam-5507	527	52	1016.427	1016.427	NUM
ejpam-5507	527	53	1020.083	1020.083	NUM
ejpam-5507	527	54	bl	bl	INTJ
ejpam-5507	527	55	-567.7754	-567.7754	NUM
ejpam-5507	527	56	1137.551	1137.551	NUM
ejpam-5507	527	57	1138.77	1138.77	NUM
ejpam-5507	527	58	bl	bl	NOUN
ejpam-5507	527	59	-	-	PUNCT
ejpam-5507	527	60	l	l	NOUN
ejpam-5507	527	61	-505.2836	-505.2836	NUM
ejpam-5507	527	62	1014.567	1014.567	NUM
ejpam-5507	527	63	1017.005	1017.005	NUM
ejpam-5507	527	64	btb	btb	ADP
ejpam-5507	527	65	-610.8848	-610.8848	PROPN
ejpam-5507	527	66	1231.77	1231.77	NUM
ejpam-5507	527	67	1248.031	1248.031	NUM
ejpam-5507	527	68	btw	btw	ADV
ejpam-5507	527	69	-805.9473	-805.9473	X
ejpam-5507	527	70	1625.895	1625.895	NUM
ejpam-5507	527	71	1634.427	1634.427	NUM
ejpam-5507	527	72	e.	e.	PROPN
ejpam-5507	527	73	alsulami	alsulami	PROPN
ejpam-5507	527	74	,	,	PUNCT
ejpam-5507	527	75	l.	l.	PROPN
ejpam-5507	527	76	al	al	PROPN
ejpam-5507	527	77	-	-	PUNCT
ejpam-5507	527	78	turk	turk	PROPN
ejpam-5507	527	79	,	,	PUNCT
ejpam-5507	527	80	m.	m.	NOUN
ejpam-5507	527	81	q.	q.	PROPN
ejpam-5507	527	82	shahbaz	shahbaz	PROPN
ejpam-5507	527	83	/	/	SYM
ejpam-5507	527	84	eur	eur	PROPN
ejpam-5507	527	85	.	.	PUNCT
ejpam-5507	528	1	j.	j.	PROPN
ejpam-5507	528	2	pure	pure	PROPN
ejpam-5507	528	3	appl	appl	PROPN
ejpam-5507	528	4	.	.	PROPN
ejpam-5507	528	5	math	math	PROPN
ejpam-5507	528	6	,	,	PUNCT
ejpam-5507	528	7	17	17	NUM
ejpam-5507	528	8	(	(	PUNCT
ejpam-5507	528	9	4	4	NUM
ejpam-5507	528	10	)	)	PUNCT
ejpam-5507	528	11	(	(	PUNCT
ejpam-5507	528	12	2024	2024	NUM
ejpam-5507	528	13	)	)	PUNCT
ejpam-5507	528	14	,	,	PUNCT
ejpam-5507	528	15	3945	3945	NUM
ejpam-5507	528	16	-	-	SYM
ejpam-5507	528	17	3972	3972	NUM
ejpam-5507	528	18	3966	3966	NUM
ejpam-5507	528	19	table	table	NOUN
ejpam-5507	528	20	7	7	NUM
ejpam-5507	528	21	:	:	PUNCT
ejpam-5507	528	22	maximum	maximum	ADJ
ejpam-5507	528	23	likelihood	likelihood	NOUN
ejpam-5507	528	24	estimation	estimation	NOUN
ejpam-5507	528	25	and	and	CCONJ
ejpam-5507	528	26	standard	standard	ADJ
ejpam-5507	528	27	error	error	NOUN
ejpam-5507	528	28	for	for	ADP
ejpam-5507	528	29	given	give	VERB
ejpam-5507	528	30	distributions	distribution	NOUN
ejpam-5507	528	31	distribution	distribution	NOUN
ejpam-5507	528	32	parameter	parameter	NOUN
ejpam-5507	528	33	estimate	estimate	NOUN
ejpam-5507	528	34	standard	standard	ADJ
ejpam-5507	528	35	error	error	NOUN
ejpam-5507	528	36	btbb	btbb	NOUN
ejpam-5507	528	37	a1	a1	NOUN
ejpam-5507	528	38	a2	a2	PROPN
ejpam-5507	528	39	α	α	PROPN
ejpam-5507	528	40	β1	β1	PROPN
ejpam-5507	528	41	β1	β1	PROPN
ejpam-5507	528	42	0.88335	0.88335	NUM
ejpam-5507	529	1	1.14359	1.14359	NUM
ejpam-5507	529	2	0.13561	0.13561	NUM
ejpam-5507	529	3	5.64257	5.64257	NUM
ejpam-5507	529	4	3.11552	3.11552	NUM
ejpam-5507	529	5	0.20265	0.20265	NUM
ejpam-5507	529	6	0.33553	0.33553	NUM
ejpam-5507	530	1	0.02215	0.02215	NUM
ejpam-5507	530	2	0.73521	0.73521	NUM
ejpam-5507	530	3	0.48151	0.48151	NUM
ejpam-5507	530	4	bb	bb	NUM
ejpam-5507	530	5	α	α	NOUN
ejpam-5507	530	6	β1	β1	PROPN
ejpam-5507	530	7	β1	β1	VERB
ejpam-5507	530	8	0.22861	0.22861	NUM
ejpam-5507	530	9	1.71784	1.71784	NUM
ejpam-5507	530	10	1.41722	1.41722	NUM
ejpam-5507	530	11	0.03475	0.03475	NUM
ejpam-5507	530	12	0.15556	0.15556	NUM
ejpam-5507	530	13	0.16461	0.16461	NUM
ejpam-5507	530	14	bl	bl	NOUN
ejpam-5507	530	15	α	α	PROPN
ejpam-5507	530	16	0.36525	0.36525	NUM
ejpam-5507	530	17	0.04217	0.04217	NUM
ejpam-5507	530	18	bl	bl	NOUN
ejpam-5507	530	19	-	-	PUNCT
ejpam-5507	530	20	l	l	NOUN
ejpam-5507	530	21	β1	β1	PROPN
ejpam-5507	530	22	β1	β1	PROPN
ejpam-5507	530	23	0.78856	0.78856	NUM
ejpam-5507	530	24	0.91949	0.91949	NUM
ejpam-5507	530	25	0.06185	0.06185	NUM
ejpam-5507	530	26	0.07211	0.07211	NUM
ejpam-5507	530	27	btb	btb	NOUN
ejpam-5507	530	28	c	c	PROPN
ejpam-5507	530	29	k	k	PROPN
ejpam-5507	530	30	λ1	λ1	PROPN
ejpam-5507	530	31	λ2	λ2	PROPN
ejpam-5507	530	32	λ3	λ3	PROPN
ejpam-5507	530	33	0.75154	0.75154	NUM
ejpam-5507	530	34	0.70208	0.70208	NUM
ejpam-5507	530	35	-0.12896	-0.12896	NOUN
ejpam-5507	530	36	-0.80981	-0.80981	VERB
ejpam-5507	530	37	-0.07487	-0.07487	NOUN
ejpam-5507	531	1	0.08629	0.08629	NUM
ejpam-5507	531	2	0.10160	0.10160	NUM
ejpam-5507	531	3	33.69200	33.69200	NUM
ejpam-5507	531	4	27.06451	27.06451	NUM
ejpam-5507	531	5	30.5993	30.5993	NUM
ejpam-5507	531	6	btw	btw	ADV
ejpam-5507	531	7	α1	α1	PROPN
ejpam-5507	531	8	α2	α2	PROPN
ejpam-5507	531	9	θ1	θ1	NOUN
ejpam-5507	531	10	θ2	θ2	PROPN
ejpam-5507	531	11	λ1	λ1	PROPN
ejpam-5507	531	12	λ2	λ2	PROPN
ejpam-5507	531	13	λ3	λ3	PROPN
ejpam-5507	531	14	0.116303	0.116303	NUM
ejpam-5507	531	15	0.129937	0.129937	NUM
ejpam-5507	531	16	0.025941	0.025941	NUM
ejpam-5507	531	17	0.021107	0.021107	NUM
ejpam-5507	531	18	-0.115249	-0.115249	NOUN
ejpam-5507	531	19	0.017064	0.017064	NUM
ejpam-5507	531	20	-0.060330	-0.060330	NOUN
ejpam-5507	531	21	0.012094	0.012094	NUM
ejpam-5507	531	22	0.012523	0.012523	NUM
ejpam-5507	531	23	0.009192	0.009192	NUM
ejpam-5507	531	24	0.006740	0.006740	NUM
ejpam-5507	531	25	1.896561	1.896561	NUM
ejpam-5507	531	26	1.896561	1.896561	NUM
ejpam-5507	531	27	2.389490	2.389490	NUM
ejpam-5507	531	28	table	table	NOUN
ejpam-5507	531	29	8	8	NUM
ejpam-5507	531	30	:	:	PUNCT
ejpam-5507	531	31	akaike	akaike	ADJ
ejpam-5507	531	32	’s	’s	ADV
ejpam-5507	531	33	and	and	CCONJ
ejpam-5507	531	34	bayesian	bayesian	VERB
ejpam-5507	531	35	information	information	NOUN
ejpam-5507	531	36	criteria	criterion	NOUN
ejpam-5507	531	37	for	for	ADP
ejpam-5507	531	38	given	give	VERB
ejpam-5507	531	39	distributions	distribution	NOUN
ejpam-5507	531	40	distribution	distribution	NOUN
ejpam-5507	531	41	log	log	NOUN
ejpam-5507	531	42	-	-	PUNCT
ejpam-5507	531	43	lik	lik	PROPN
ejpam-5507	531	44	aic	aic	PROPN
ejpam-5507	531	45	bic	bic	PROPN
ejpam-5507	531	46	btbb	btbb	PROPN
ejpam-5507	531	47	-616.712	-616.712	PROPN
ejpam-5507	531	48	1243.424	1243.424	NUM
ejpam-5507	532	1	1254.666	1254.666	NUM
ejpam-5507	532	2	bb	bb	NUM
ejpam-5507	532	3	-626.6695	-626.6695	NUM
ejpam-5507	532	4	1259.339	1259.339	NUM
ejpam-5507	532	5	1266.084	1266.084	NUM
ejpam-5507	532	6	bl	bl	INTJ
ejpam-5507	532	7	-623.3973	-623.3973	NUM
ejpam-5507	532	8	1248.795	1248.795	NUM
ejpam-5507	532	9	1251.043	1251.043	NUM
ejpam-5507	532	10	bl	bl	PROPN
ejpam-5507	532	11	-	-	PUNCT
ejpam-5507	532	12	l	l	NOUN
ejpam-5507	532	13	-672.6314	-672.6314	PROPN
ejpam-5507	532	14	1349.263	1349.263	NUM
ejpam-5507	532	15	1353.76	1353.76	NUM
ejpam-5507	532	16	btb	btb	NOUN
ejpam-5507	532	17	–	–	PUNCT
ejpam-5507	532	18	672.4948	672.4948	NUM
ejpam-5507	532	19	1354.99	1354.99	NUM
ejpam-5507	532	20	1366.232	1366.232	NUM
ejpam-5507	532	21	btw	btw	NOUN
ejpam-5507	532	22	-873.6064	-873.6064	NOUN
ejpam-5507	532	23	1761.213	1761.213	NUM
ejpam-5507	532	24	1776.952	1776.952	NUM
ejpam-5507	532	25	e.	e.	PROPN
ejpam-5507	532	26	alsulami	alsulami	PROPN
ejpam-5507	532	27	,	,	PUNCT
ejpam-5507	532	28	l.	l.	PROPN
ejpam-5507	532	29	al	al	PROPN
ejpam-5507	532	30	-	-	PUNCT
ejpam-5507	532	31	turk	turk	PROPN
ejpam-5507	532	32	,	,	PUNCT
ejpam-5507	532	33	m.	m.	NOUN
ejpam-5507	532	34	q.	q.	PROPN
ejpam-5507	532	35	shahbaz	shahbaz	PROPN
ejpam-5507	532	36	/	/	SYM
ejpam-5507	532	37	eur	eur	PROPN
ejpam-5507	532	38	.	.	PUNCT
ejpam-5507	533	1	j.	j.	PROPN
ejpam-5507	533	2	pure	pure	PROPN
ejpam-5507	533	3	appl	appl	PROPN
ejpam-5507	533	4	.	.	PROPN
ejpam-5507	533	5	math	math	PROPN
ejpam-5507	533	6	,	,	PUNCT
ejpam-5507	533	7	17	17	NUM
ejpam-5507	533	8	(	(	PUNCT
ejpam-5507	533	9	4	4	NUM
ejpam-5507	533	10	)	)	PUNCT
ejpam-5507	533	11	(	(	PUNCT
ejpam-5507	533	12	2024	2024	NUM
ejpam-5507	533	13	)	)	PUNCT
ejpam-5507	533	14	,	,	PUNCT
ejpam-5507	533	15	3945	3945	NUM
ejpam-5507	533	16	-	-	SYM
ejpam-5507	533	17	3972	3972	NUM
ejpam-5507	533	18	3967	3967	NUM
ejpam-5507	533	19	table	table	NOUN
ejpam-5507	533	20	9	9	NUM
ejpam-5507	533	21	:	:	PUNCT
ejpam-5507	533	22	bivariate	bivariate	ADJ
ejpam-5507	533	23	histograms	histogram	NOUN
ejpam-5507	533	24	and	and	CCONJ
ejpam-5507	533	25	fitted	fit	VERB
ejpam-5507	533	26	distribution	distribution	NOUN
ejpam-5507	533	27	for	for	ADP
ejpam-5507	533	28	three	three	NUM
ejpam-5507	533	29	data	datum	NOUN
ejpam-5507	533	30	sets	set	NOUN
ejpam-5507	533	31	.	.	PUNCT
ejpam-5507	534	1	data	datum	NOUN
ejpam-5507	534	2	observed	observe	VERB
ejpam-5507	534	3	histogram	histogram	NOUN
ejpam-5507	534	4	fitted	fit	VERB
ejpam-5507	534	5	distribution	distribution	NOUN
ejpam-5507	534	6	first	first	ADV
ejpam-5507	534	7	data	datum	NOUN
ejpam-5507	534	8	second	second	ADJ
ejpam-5507	534	9	data	datum	NOUN
ejpam-5507	534	10	third	third	ADJ
ejpam-5507	534	11	data	datum	NOUN
ejpam-5507	534	12	references	reference	NOUN
ejpam-5507	534	13	3968	3968	NUM
ejpam-5507	534	14	8	8	NUM
ejpam-5507	534	15	.	.	PUNCT
ejpam-5507	535	1	conclusion	conclusion	NOUN
ejpam-5507	535	2	in	in	ADP
ejpam-5507	535	3	this	this	DET
ejpam-5507	535	4	paper	paper	NOUN
ejpam-5507	535	5	,	,	PUNCT
ejpam-5507	535	6	we	we	PRON
ejpam-5507	535	7	have	have	AUX
ejpam-5507	535	8	presented	present	VERB
ejpam-5507	535	9	a	a	DET
ejpam-5507	535	10	new	new	ADJ
ejpam-5507	535	11	truncated	truncated	ADJ
ejpam-5507	535	12	bivariate	bivariate	ADJ
ejpam-5507	535	13	families	family	NOUN
ejpam-5507	535	14	of	of	ADP
ejpam-5507	535	15	distributions	distribution	NOUN
ejpam-5507	535	16	.	.	PUNCT
ejpam-5507	536	1	the	the	DET
ejpam-5507	536	2	new	new	ADJ
ejpam-5507	536	3	families	family	NOUN
ejpam-5507	536	4	of	of	ADP
ejpam-5507	536	5	distributions	distribution	NOUN
ejpam-5507	536	6	are	be	AUX
ejpam-5507	536	7	explored	explore	VERB
ejpam-5507	536	8	by	by	ADP
ejpam-5507	536	9	using	use	VERB
ejpam-5507	536	10	the	the	DET
ejpam-5507	536	11	burr	burr	NOUN
ejpam-5507	536	12	distribution	distribution	NOUN
ejpam-5507	536	13	as	as	ADP
ejpam-5507	536	14	a	a	DET
ejpam-5507	536	15	generator	generator	NOUN
ejpam-5507	536	16	,	,	PUNCT
ejpam-5507	536	17	giving	give	VERB
ejpam-5507	536	18	rise	rise	NOUN
ejpam-5507	536	19	to	to	ADP
ejpam-5507	536	20	the	the	DET
ejpam-5507	536	21	bivariate	bivariate	ADJ
ejpam-5507	536	22	truncated	truncate	VERB
ejpam-5507	536	23	burr	burr	NOUN
ejpam-5507	536	24	family	family	NOUN
ejpam-5507	536	25	of	of	ADP
ejpam-5507	536	26	distributions	distribution	NOUN
ejpam-5507	536	27	.	.	PUNCT
ejpam-5507	537	1	the	the	DET
ejpam-5507	537	2	bivariate	bivariate	ADJ
ejpam-5507	537	3	truncated	truncated	ADJ
ejpam-5507	537	4	burr	burr	NOUN
ejpam-5507	537	5	family	family	NOUN
ejpam-5507	537	6	of	of	ADP
ejpam-5507	537	7	distributions	distribution	NOUN
ejpam-5507	537	8	is	be	AUX
ejpam-5507	537	9	further	far	ADV
ejpam-5507	537	10	investigated	investigate	VERB
ejpam-5507	537	11	by	by	ADP
ejpam-5507	537	12	using	use	VERB
ejpam-5507	537	13	the	the	DET
ejpam-5507	537	14	burr	burr	NOUN
ejpam-5507	537	15	distribution	distribution	NOUN
ejpam-5507	537	16	as	as	ADP
ejpam-5507	537	17	a	a	DET
ejpam-5507	537	18	baseline	baseline	ADJ
ejpam-5507	537	19	distribution	distribution	NOUN
ejpam-5507	537	20	,	,	PUNCT
ejpam-5507	537	21	resulting	result	VERB
ejpam-5507	537	22	in	in	ADP
ejpam-5507	537	23	a	a	DET
ejpam-5507	537	24	bivariate	bivariate	ADJ
ejpam-5507	537	25	truncated	truncated	ADJ
ejpam-5507	537	26	burr	burr	NOUN
ejpam-5507	537	27	-	-	PUNCT
ejpam-5507	537	28	burr	burr	NOUN
ejpam-5507	537	29	distributions	distribution	NOUN
ejpam-5507	537	30	.	.	PUNCT
ejpam-5507	538	1	we	we	PRON
ejpam-5507	538	2	have	have	AUX
ejpam-5507	538	3	investigated	investigate	VERB
ejpam-5507	538	4	various	various	ADJ
ejpam-5507	538	5	statistical	statistical	ADJ
ejpam-5507	538	6	characteristics	characteristic	NOUN
ejpam-5507	538	7	of	of	ADP
ejpam-5507	538	8	the	the	DET
ejpam-5507	538	9	proposed	propose	VERB
ejpam-5507	538	10	bivariate	bivariate	ADJ
ejpam-5507	538	11	burr	burr	NOUN
ejpam-5507	538	12	-	-	PUNCT
ejpam-5507	538	13	burr	burr	NOUN
ejpam-5507	538	14	distribution	distribution	NOUN
ejpam-5507	538	15	.	.	PUNCT
ejpam-5507	539	1	additionally	additionally	ADV
ejpam-5507	539	2	,	,	PUNCT
ejpam-5507	539	3	we	we	PRON
ejpam-5507	539	4	have	have	AUX
ejpam-5507	539	5	used	use	VERB
ejpam-5507	539	6	three	three	NUM
ejpam-5507	539	7	real	real	ADJ
ejpam-5507	539	8	data	datum	NOUN
ejpam-5507	539	9	sets	set	NOUN
ejpam-5507	539	10	with	with	ADP
ejpam-5507	539	11	the	the	DET
ejpam-5507	539	12	bivariate	bivariate	ADJ
ejpam-5507	539	13	truncated	truncated	ADJ
ejpam-5507	539	14	burr	burr	NOUN
ejpam-5507	539	15	-	-	PUNCT
ejpam-5507	539	16	burr	burr	NOUN
ejpam-5507	539	17	distributions	distribution	NOUN
ejpam-5507	539	18	.	.	PUNCT
ejpam-5507	540	1	we	we	PRON
ejpam-5507	540	2	have	have	AUX
ejpam-5507	540	3	found	find	VERB
ejpam-5507	540	4	that	that	SCONJ
ejpam-5507	540	5	the	the	DET
ejpam-5507	540	6	proposed	propose	VERB
ejpam-5507	540	7	bivariate	bivariate	ADJ
ejpam-5507	540	8	truncated	truncated	ADJ
ejpam-5507	540	9	burr	burr	NOUN
ejpam-5507	540	10	-	-	PUNCT
ejpam-5507	540	11	burr	burr	NOUN
ejpam-5507	540	12	distribution	distribution	NOUN
ejpam-5507	540	13	performs	perform	VERB
ejpam-5507	540	14	well	well	ADV
ejpam-5507	540	15	for	for	ADP
ejpam-5507	540	16	modeling	model	VERB
ejpam-5507	540	17	the	the	DET
ejpam-5507	540	18	given	give	VERB
ejpam-5507	540	19	data	datum	NOUN
ejpam-5507	540	20	.	.	PUNCT
ejpam-5507	541	1	it	it	PRON
ejpam-5507	541	2	is	be	AUX
ejpam-5507	541	3	possible	possible	ADJ
ejpam-5507	541	4	to	to	PART
ejpam-5507	541	5	explore	explore	VERB
ejpam-5507	541	6	the	the	DET
ejpam-5507	541	7	new	new	ADJ
ejpam-5507	541	8	btbf	btbf	NOUN
ejpam-5507	541	9	of	of	ADP
ejpam-5507	541	10	distributions	distribution	NOUN
ejpam-5507	541	11	for	for	ADP
ejpam-5507	541	12	various	various	ADJ
ejpam-5507	541	13	baseline	baseline	NOUN
ejpam-5507	541	14	distributions	distribution	NOUN
ejpam-5507	541	15	.	.	PUNCT
ejpam-5507	542	1	acknowledgements	acknowledgement	NOUN
ejpam-5507	542	2	the	the	DET
ejpam-5507	542	3	authors	author	NOUN
ejpam-5507	542	4	are	be	AUX
ejpam-5507	542	5	thankful	thankful	ADJ
ejpam-5507	542	6	to	to	ADP
ejpam-5507	542	7	the	the	DET
ejpam-5507	542	8	editor	editor	NOUN
ejpam-5507	542	9	,	,	PUNCT
ejpam-5507	542	10	the	the	DET
ejpam-5507	542	11	associate	associate	ADJ
ejpam-5507	542	12	editor	editor	NOUN
ejpam-5507	542	13	,	,	PUNCT
ejpam-5507	542	14	and	and	CCONJ
ejpam-5507	542	15	the	the	DET
ejpam-5507	542	16	referees	referee	NOUN
ejpam-5507	542	17	for	for	ADP
ejpam-5507	542	18	their	their	PRON
ejpam-5507	542	19	useful	useful	ADJ
ejpam-5507	542	20	comments	comment	NOUN
ejpam-5507	542	21	of	of	ADP
ejpam-5507	542	22	this	this	DET
ejpam-5507	542	23	article	article	NOUN
ejpam-5507	542	24	.	.	PUNCT
ejpam-5507	543	1	references	reference	NOUN
ejpam-5507	543	2	[	[	X
ejpam-5507	543	3	1	1	X
ejpam-5507	543	4	]	]	X
ejpam-5507	543	5	sh	sh	PROPN
ejpam-5507	543	6	abid	abid	PROPN
ejpam-5507	543	7	and	and	CCONJ
ejpam-5507	543	8	rk	rk	PROPN
ejpam-5507	543	9	abdulrazak	abdulrazak	PROPN
ejpam-5507	543	10	.	.	PUNCT
ejpam-5507	544	1	truncated	truncate	VERB
ejpam-5507	544	2	fréchet	fréchet	PROPN
ejpam-5507	544	3	-	-	PUNCT
ejpam-5507	544	4	g	g	NOUN
ejpam-5507	544	5	generator	generator	NOUN
ejpam-5507	544	6	of	of	ADP
ejpam-5507	544	7	distributions	distribution	NOUN
ejpam-5507	544	8	.	.	PUNCT
ejpam-5507	545	1	applied	apply	VERB
ejpam-5507	545	2	mathematics	mathematic	NOUN
ejpam-5507	545	3	,	,	PUNCT
ejpam-5507	545	4	3:51–66	3:51–66	NUM
ejpam-5507	545	5	,	,	PUNCT
ejpam-5507	545	6	2017	2017	NUM
ejpam-5507	545	7	.	.	PUNCT
ejpam-5507	546	1	[	[	X
ejpam-5507	546	2	2	2	NUM
ejpam-5507	546	3	]	]	X
ejpam-5507	546	4	s	s	PART
ejpam-5507	546	5	ejaz	ejaz	PROPN
ejpam-5507	546	6	ahmed	ahmed	PROPN
ejpam-5507	546	7	,	,	PUNCT
ejpam-5507	546	8	claudia	claudia	PROPN
ejpam-5507	546	9	castro	castro	PROPN
ejpam-5507	546	10	-	-	PUNCT
ejpam-5507	546	11	kuriss	kuriss	PROPN
ejpam-5507	546	12	,	,	PUNCT
ejpam-5507	546	13	esteban	esteban	PROPN
ejpam-5507	546	14	flores	flore	NOUN
ejpam-5507	546	15	,	,	PUNCT
ejpam-5507	546	16	vı́ctor	vı́ctor	PROPN
ejpam-5507	546	17	leiva	leiva	PROPN
ejpam-5507	546	18	,	,	PUNCT
ejpam-5507	546	19	and	and	CCONJ
ejpam-5507	546	20	antonio	antonio	PROPN
ejpam-5507	546	21	sanhueza	sanhueza	PROPN
ejpam-5507	546	22	.	.	PUNCT
ejpam-5507	547	1	a	a	DET
ejpam-5507	547	2	truncated	truncate	VERB
ejpam-5507	547	3	version	version	NOUN
ejpam-5507	547	4	of	of	ADP
ejpam-5507	547	5	the	the	DET
ejpam-5507	547	6	birnbaum	birnbaum	PROPN
ejpam-5507	547	7	-	-	PUNCT
ejpam-5507	547	8	saunders	saunders	PROPN
ejpam-5507	547	9	distribution	distribution	NOUN
ejpam-5507	547	10	with	with	ADP
ejpam-5507	547	11	an	an	DET
ejpam-5507	547	12	application	application	NOUN
ejpam-5507	547	13	in	in	ADP
ejpam-5507	547	14	financial	financial	ADJ
ejpam-5507	547	15	risk	risk	NOUN
ejpam-5507	547	16	.	.	PUNCT
ejpam-5507	548	1	pakistan	pakistan	PROPN
ejpam-5507	548	2	journal	journal	PROPN
ejpam-5507	548	3	of	of	ADP
ejpam-5507	548	4	statistics	statistic	NOUN
ejpam-5507	548	5	,	,	PUNCT
ejpam-5507	548	6	26(1	26(1	NUM
ejpam-5507	548	7	)	)	PUNCT
ejpam-5507	548	8	,	,	PUNCT
ejpam-5507	548	9	2010	2010	NUM
ejpam-5507	548	10	.	.	PUNCT
ejpam-5507	549	1	[	[	X
ejpam-5507	549	2	3	3	NUM
ejpam-5507	549	3	]	]	X
ejpam-5507	549	4	alfred	alfred	PROPN
ejpam-5507	549	5	akinsete	akinsete	PROPN
ejpam-5507	549	6	,	,	PUNCT
ejpam-5507	549	7	felix	felix	PROPN
ejpam-5507	549	8	famoye	famoye	PROPN
ejpam-5507	549	9	,	,	PUNCT
ejpam-5507	549	10	and	and	CCONJ
ejpam-5507	549	11	carl	carl	PROPN
ejpam-5507	549	12	lee	lee	PROPN
ejpam-5507	549	13	.	.	PUNCT
ejpam-5507	550	1	the	the	DET
ejpam-5507	550	2	beta	beta	NOUN
ejpam-5507	550	3	-	-	PUNCT
ejpam-5507	550	4	pareto	pareto	NOUN
ejpam-5507	550	5	distribution	distribution	NOUN
ejpam-5507	550	6	.	.	PUNCT
ejpam-5507	551	1	statistics	statistic	NOUN
ejpam-5507	551	2	,	,	PUNCT
ejpam-5507	551	3	42(6):547–563	42(6):547–563	PROPN
ejpam-5507	551	4	,	,	PUNCT
ejpam-5507	551	5	2008	2008	NUM
ejpam-5507	551	6	.	.	PUNCT
ejpam-5507	552	1	[	[	X
ejpam-5507	552	2	4	4	X
ejpam-5507	552	3	]	]	X
ejpam-5507	552	4	maha	maha	NOUN
ejpam-5507	552	5	a	a	DET
ejpam-5507	552	6	aldahlan	aldahlan	NOUN
ejpam-5507	552	7	,	,	PUNCT
ejpam-5507	552	8	farrukh	farrukh	PROPN
ejpam-5507	552	9	jamal	jamal	PROPN
ejpam-5507	552	10	,	,	PUNCT
ejpam-5507	552	11	christophe	christophe	PROPN
ejpam-5507	552	12	chesneau	chesneau	PROPN
ejpam-5507	552	13	,	,	PUNCT
ejpam-5507	552	14	mohammed	mohammed	PROPN
ejpam-5507	552	15	elgarhy	elgarhy	PROPN
ejpam-5507	552	16	,	,	PUNCT
ejpam-5507	552	17	and	and	CCONJ
ejpam-5507	552	18	ibrahim	ibrahim	PROPN
ejpam-5507	552	19	elbatal	elbatal	PROPN
ejpam-5507	552	20	.	.	PUNCT
ejpam-5507	553	1	the	the	DET
ejpam-5507	553	2	truncated	truncate	VERB
ejpam-5507	553	3	cauchy	cauchy	PROPN
ejpam-5507	553	4	power	power	NOUN
ejpam-5507	553	5	family	family	NOUN
ejpam-5507	553	6	of	of	ADP
ejpam-5507	553	7	distributions	distribution	NOUN
ejpam-5507	553	8	with	with	ADP
ejpam-5507	553	9	inference	inference	NOUN
ejpam-5507	553	10	and	and	CCONJ
ejpam-5507	553	11	applications	application	NOUN
ejpam-5507	553	12	.	.	PUNCT
ejpam-5507	554	1	entropy	entropy	PROPN
ejpam-5507	554	2	,	,	PUNCT
ejpam-5507	554	3	22(3):346	22(3):346	NUM
ejpam-5507	554	4	,	,	PUNCT
ejpam-5507	554	5	2020	2020	NUM
ejpam-5507	554	6	.	.	PUNCT
ejpam-5507	555	1	[	[	X
ejpam-5507	555	2	5	5	NUM
ejpam-5507	555	3	]	]	PUNCT
ejpam-5507	555	4	eftekhar	eftekhar	VERB
ejpam-5507	555	5	gabel	gabel	NOUN
ejpam-5507	555	6	alsulami	alsulami	NOUN
ejpam-5507	555	7	,	,	PUNCT
ejpam-5507	555	8	lutfiah	lutfiah	PROPN
ejpam-5507	555	9	ismail	ismail	PROPN
ejpam-5507	555	10	al	al	PROPN
ejpam-5507	555	11	turk	turk	PROPN
ejpam-5507	555	12	,	,	PUNCT
ejpam-5507	555	13	and	and	CCONJ
ejpam-5507	555	14	muhammad	muhammad	PROPN
ejpam-5507	555	15	qaiser	qaiser	PROPN
ejpam-5507	555	16	shahbaz	shahbaz	PROPN
ejpam-5507	555	17	.	.	PUNCT
ejpam-5507	556	1	the	the	DET
ejpam-5507	556	2	bivariate	bivariate	ADJ
ejpam-5507	556	3	truncated	truncated	ADJ
ejpam-5507	556	4	family	family	NOUN
ejpam-5507	556	5	of	of	ADP
ejpam-5507	556	6	distributions	distribution	NOUN
ejpam-5507	556	7	:	:	PUNCT
ejpam-5507	556	8	theory	theory	NOUN
ejpam-5507	556	9	and	and	CCONJ
ejpam-5507	556	10	applications	application	NOUN
ejpam-5507	556	11	.	.	PUNCT
ejpam-5507	557	1	international	international	ADJ
ejpam-5507	557	2	conference	conference	NOUN
ejpam-5507	557	3	and	and	CCONJ
ejpam-5507	557	4	exhibition	exhibition	NOUN
ejpam-5507	557	5	for	for	ADP
ejpam-5507	557	6	science(ices2023	science(ices2023	NOUN
ejpam-5507	557	7	)	)	PUNCT
ejpam-5507	557	8	,	,	PUNCT
ejpam-5507	557	9	2023	2023	NUM
ejpam-5507	557	10	.	.	PUNCT
ejpam-5507	558	1	[	[	X
ejpam-5507	558	2	6	6	NUM
ejpam-5507	558	3	]	]	PUNCT
ejpam-5507	558	4	ayman	ayman	PROPN
ejpam-5507	558	5	alzaatreh	alzaatreh	PROPN
ejpam-5507	558	6	,	,	PUNCT
ejpam-5507	558	7	mohammad	mohammad	PROPN
ejpam-5507	558	8	a	a	DET
ejpam-5507	558	9	aljarrah	aljarrah	PROPN
ejpam-5507	558	10	,	,	PUNCT
ejpam-5507	558	11	michael	michael	PROPN
ejpam-5507	558	12	smithson	smithson	PROPN
ejpam-5507	558	13	,	,	PUNCT
ejpam-5507	558	14	saman	saman	PROPN
ejpam-5507	558	15	hanif	hanif	PROPN
ejpam-5507	558	16	shahbaz	shahbaz	PROPN
ejpam-5507	558	17	,	,	PUNCT
ejpam-5507	558	18	muhammad	muhammad	PROPN
ejpam-5507	558	19	qaiser	qaiser	PROPN
ejpam-5507	558	20	shahbaz	shahbaz	PROPN
ejpam-5507	558	21	,	,	PUNCT
ejpam-5507	558	22	felix	felix	PROPN
ejpam-5507	558	23	famoye	famoye	PROPN
ejpam-5507	558	24	,	,	PUNCT
ejpam-5507	558	25	and	and	CCONJ
ejpam-5507	558	26	carl	carl	PROPN
ejpam-5507	558	27	lee	lee	PROPN
ejpam-5507	558	28	.	.	PROPN
ejpam-5507	558	29	truncated	truncate	VERB
ejpam-5507	558	30	family	family	NOUN
ejpam-5507	558	31	of	of	ADP
ejpam-5507	558	32	distributions	distribution	NOUN
ejpam-5507	558	33	with	with	ADP
ejpam-5507	558	34	applications	application	NOUN
ejpam-5507	558	35	to	to	ADP
ejpam-5507	558	36	time	time	NOUN
ejpam-5507	558	37	and	and	CCONJ
ejpam-5507	558	38	cost	cost	VERB
ejpam-5507	558	39	to	to	PART
ejpam-5507	558	40	start	start	VERB
ejpam-5507	558	41	a	a	DET
ejpam-5507	558	42	business	business	NOUN
ejpam-5507	558	43	.	.	PUNCT
ejpam-5507	559	1	methodology	methodology	NOUN
ejpam-5507	559	2	and	and	CCONJ
ejpam-5507	559	3	computing	computing	NOUN
ejpam-5507	559	4	in	in	ADP
ejpam-5507	559	5	applied	apply	VERB
ejpam-5507	559	6	probability	probability	NOUN
ejpam-5507	559	7	,	,	PUNCT
ejpam-5507	559	8	23(1):5–27	23(1):5–27	NUM
ejpam-5507	559	9	,	,	PUNCT
ejpam-5507	559	10	2021	2021	NUM
ejpam-5507	559	11	.	.	PUNCT
ejpam-5507	560	1	[	[	X
ejpam-5507	560	2	7	7	X
ejpam-5507	560	3	]	]	X
ejpam-5507	560	4	ayman	ayman	PROPN
ejpam-5507	560	5	alzaatreh	alzaatreh	PROPN
ejpam-5507	560	6	,	,	PUNCT
ejpam-5507	560	7	carl	carl	PROPN
ejpam-5507	560	8	lee	lee	PROPN
ejpam-5507	560	9	,	,	PUNCT
ejpam-5507	560	10	and	and	CCONJ
ejpam-5507	560	11	felix	felix	PROPN
ejpam-5507	560	12	famoye	famoye	PROPN
ejpam-5507	560	13	.	.	PUNCT
ejpam-5507	561	1	a	a	DET
ejpam-5507	561	2	new	new	ADJ
ejpam-5507	561	3	method	method	NOUN
ejpam-5507	561	4	for	for	ADP
ejpam-5507	561	5	generating	generate	VERB
ejpam-5507	561	6	families	family	NOUN
ejpam-5507	561	7	of	of	ADP
ejpam-5507	561	8	continuous	continuous	ADJ
ejpam-5507	561	9	distributions	distribution	NOUN
ejpam-5507	561	10	.	.	PUNCT
ejpam-5507	562	1	metron	metron	PROPN
ejpam-5507	562	2	,	,	PUNCT
ejpam-5507	562	3	71(1):63–79	71(1):63–79	ADV
ejpam-5507	562	4	,	,	PUNCT
ejpam-5507	562	5	2013	2013	NUM
ejpam-5507	562	6	.	.	PUNCT
ejpam-5507	563	1	references	reference	NOUN
ejpam-5507	563	2	3969	3969	NUM
ejpam-5507	564	1	[	[	X
ejpam-5507	564	2	8	8	NUM
ejpam-5507	564	3	]	]	PUNCT
ejpam-5507	564	4	rashad	rashad	VERB
ejpam-5507	564	5	bantan	bantan	PROPN
ejpam-5507	564	6	,	,	PUNCT
ejpam-5507	564	7	mahmoud	mahmoud	PROPN
ejpam-5507	564	8	elsehetry	elsehetry	PROPN
ejpam-5507	564	9	,	,	PUNCT
ejpam-5507	564	10	amal	amal	PROPN
ejpam-5507	564	11	s	s	PART
ejpam-5507	564	12	hassan	hassan	PROPN
ejpam-5507	564	13	,	,	PUNCT
ejpam-5507	564	14	mohammed	mohammed	PROPN
ejpam-5507	564	15	elgarhy	elgarhy	PROPN
ejpam-5507	564	16	,	,	PUNCT
ejpam-5507	564	17	dreamlee	dreamlee	PROPN
ejpam-5507	564	18	sharma	sharma	PROPN
ejpam-5507	564	19	,	,	PUNCT
ejpam-5507	564	20	christophe	christophe	PROPN
ejpam-5507	564	21	chesneau	chesneau	PROPN
ejpam-5507	564	22	,	,	PUNCT
ejpam-5507	564	23	and	and	CCONJ
ejpam-5507	564	24	farrukh	farrukh	PROPN
ejpam-5507	564	25	jamal	jamal	PROPN
ejpam-5507	564	26	.	.	PUNCT
ejpam-5507	565	1	a	a	DET
ejpam-5507	565	2	two	two	NUM
ejpam-5507	565	3	-	-	PUNCT
ejpam-5507	565	4	parameter	parameter	NOUN
ejpam-5507	565	5	model	model	NOUN
ejpam-5507	565	6	:	:	PUNCT
ejpam-5507	565	7	properties	property	NOUN
ejpam-5507	565	8	and	and	CCONJ
ejpam-5507	565	9	estimation	estimation	NOUN
ejpam-5507	565	10	under	under	ADP
ejpam-5507	565	11	ranked	rank	VERB
ejpam-5507	565	12	sampling	sampling	NOUN
ejpam-5507	565	13	.	.	PUNCT
ejpam-5507	566	1	mathematics	mathematic	NOUN
ejpam-5507	566	2	,	,	PUNCT
ejpam-5507	566	3	9(11):1214	9(11):1214	NUM
ejpam-5507	566	4	,	,	PUNCT
ejpam-5507	566	5	2021	2021	NUM
ejpam-5507	566	6	.	.	PUNCT
ejpam-5507	567	1	[	[	X
ejpam-5507	567	2	9	9	NUM
ejpam-5507	567	3	]	]	X
ejpam-5507	567	4	rashad	rashad	PROPN
ejpam-5507	567	5	ar	ar	PROPN
ejpam-5507	567	6	bantan	bantan	PROPN
ejpam-5507	567	7	,	,	PUNCT
ejpam-5507	567	8	farrukh	farrukh	PROPN
ejpam-5507	567	9	jamal	jamal	PROPN
ejpam-5507	567	10	,	,	PUNCT
ejpam-5507	567	11	christophe	christophe	PROPN
ejpam-5507	567	12	chesneau	chesneau	PROPN
ejpam-5507	567	13	,	,	PUNCT
ejpam-5507	567	14	and	and	CCONJ
ejpam-5507	567	15	mohammed	mohammed	PROPN
ejpam-5507	567	16	elgarhy	elgarhy	PROPN
ejpam-5507	567	17	.	.	PUNCT
ejpam-5507	568	1	truncated	truncate	VERB
ejpam-5507	568	2	inverted	inverted	ADJ
ejpam-5507	568	3	kumaraswamy	kumaraswamy	NOUN
ejpam-5507	568	4	generated	generate	VERB
ejpam-5507	568	5	family	family	NOUN
ejpam-5507	568	6	of	of	ADP
ejpam-5507	568	7	distributions	distribution	NOUN
ejpam-5507	568	8	with	with	ADP
ejpam-5507	568	9	applications	application	NOUN
ejpam-5507	568	10	.	.	PUNCT
ejpam-5507	569	1	entropy	entropy	PROPN
ejpam-5507	569	2	,	,	PUNCT
ejpam-5507	569	3	21(11):1089	21(11):1089	NUM
ejpam-5507	569	4	,	,	PUNCT
ejpam-5507	569	5	2019	2019	NUM
ejpam-5507	569	6	.	.	PUNCT
ejpam-5507	570	1	[	[	X
ejpam-5507	570	2	10	10	NUM
ejpam-5507	570	3	]	]	X
ejpam-5507	570	4	ap	ap	PROPN
ejpam-5507	570	5	basu	basu	PROPN
ejpam-5507	570	6	.	.	PUNCT
ejpam-5507	570	7	bivariate	bivariate	ADJ
ejpam-5507	570	8	failure	failure	NOUN
ejpam-5507	570	9	rate	rate	NOUN
ejpam-5507	570	10	.	.	PUNCT
ejpam-5507	571	1	journal	journal	NOUN
ejpam-5507	571	2	of	of	ADP
ejpam-5507	571	3	the	the	DET
ejpam-5507	571	4	american	american	PROPN
ejpam-5507	571	5	statistical	statistical	PROPN
ejpam-5507	571	6	association	association	PROPN
ejpam-5507	571	7	,	,	PUNCT
ejpam-5507	571	8	66(333):103–104	66(333):103–104	PROPN
ejpam-5507	571	9	,	,	PUNCT
ejpam-5507	571	10	1971	1971	NUM
ejpam-5507	571	11	.	.	PUNCT
ejpam-5507	572	1	[	[	X
ejpam-5507	572	2	11	11	NUM
ejpam-5507	572	3	]	]	X
ejpam-5507	572	4	irving	irving	PROPN
ejpam-5507	572	5	w	w	PROPN
ejpam-5507	572	6	burr	burr	PROPN
ejpam-5507	572	7	.	.	PUNCT
ejpam-5507	572	8	cumulative	cumulative	ADJ
ejpam-5507	572	9	frequency	frequency	NOUN
ejpam-5507	572	10	functions	function	NOUN
ejpam-5507	572	11	.	.	PUNCT
ejpam-5507	573	1	the	the	DET
ejpam-5507	573	2	annals	annal	NOUN
ejpam-5507	573	3	of	of	ADP
ejpam-5507	573	4	mathematical	mathematical	ADJ
ejpam-5507	573	5	statistics	statistic	NOUN
ejpam-5507	573	6	,	,	PUNCT
ejpam-5507	573	7	13(2):215–232	13(2):215–232	PROPN
ejpam-5507	573	8	,	,	PUNCT
ejpam-5507	573	9	1942	1942	NUM
ejpam-5507	573	10	.	.	PUNCT
ejpam-5507	574	1	[	[	X
ejpam-5507	574	2	12	12	NUM
ejpam-5507	574	3	]	]	X
ejpam-5507	574	4	douglas	douglas	PROPN
ejpam-5507	574	5	g	g	PROPN
ejpam-5507	574	6	chapman	chapman	PROPN
ejpam-5507	574	7	.	.	PUNCT
ejpam-5507	575	1	estimating	estimate	VERB
ejpam-5507	575	2	the	the	DET
ejpam-5507	575	3	parameters	parameter	NOUN
ejpam-5507	575	4	of	of	ADP
ejpam-5507	575	5	a	a	DET
ejpam-5507	575	6	truncated	truncated	ADJ
ejpam-5507	575	7	gamma	gamma	NOUN
ejpam-5507	575	8	distribution	distribution	NOUN
ejpam-5507	575	9	.	.	PUNCT
ejpam-5507	576	1	the	the	DET
ejpam-5507	576	2	annals	annal	NOUN
ejpam-5507	576	3	of	of	ADP
ejpam-5507	576	4	mathematical	mathematical	ADJ
ejpam-5507	576	5	statistics	statistic	NOUN
ejpam-5507	576	6	,	,	PUNCT
ejpam-5507	576	7	pages	page	NOUN
ejpam-5507	576	8	498–506	498–506	NUM
ejpam-5507	576	9	,	,	PUNCT
ejpam-5507	576	10	1956	1956	NUM
ejpam-5507	576	11	.	.	PUNCT
ejpam-5507	577	1	[	[	X
ejpam-5507	577	2	13	13	NUM
ejpam-5507	577	3	]	]	PUNCT
ejpam-5507	577	4	frederick	frederick	PROPN
ejpam-5507	577	5	c	c	PROPN
ejpam-5507	577	6	durling	durle	VERB
ejpam-5507	577	7	.	.	PUNCT
ejpam-5507	578	1	the	the	DET
ejpam-5507	578	2	bivariate	bivariate	ADJ
ejpam-5507	578	3	burr	burr	NOUN
ejpam-5507	578	4	distribution	distribution	NOUN
ejpam-5507	578	5	.	.	PUNCT
ejpam-5507	579	1	in	in	ADP
ejpam-5507	579	2	a	a	DET
ejpam-5507	579	3	modern	modern	ADJ
ejpam-5507	579	4	course	course	NOUN
ejpam-5507	579	5	on	on	ADP
ejpam-5507	579	6	statistical	statistical	ADJ
ejpam-5507	579	7	distributions	distribution	NOUN
ejpam-5507	579	8	in	in	ADP
ejpam-5507	579	9	scientific	scientific	ADJ
ejpam-5507	579	10	work	work	NOUN
ejpam-5507	579	11	,	,	PUNCT
ejpam-5507	579	12	pages	page	NOUN
ejpam-5507	579	13	329–335	329–335	NUM
ejpam-5507	579	14	.	.	PUNCT
ejpam-5507	579	15	springer	springer	NOUN
ejpam-5507	579	16	,	,	PUNCT
ejpam-5507	579	17	1975	1975	NUM
ejpam-5507	579	18	.	.	PUNCT
ejpam-5507	580	1	[	[	X
ejpam-5507	580	2	14	14	NUM
ejpam-5507	580	3	]	]	X
ejpam-5507	580	4	alaa	alaa	PROPN
ejpam-5507	580	5	rafat	rafat	PROPN
ejpam-5507	580	6	el	el	PROPN
ejpam-5507	580	7	-	-	PUNCT
ejpam-5507	580	8	alosey	alosey	NOUN
ejpam-5507	580	9	.	.	PUNCT
ejpam-5507	581	1	random	random	ADJ
ejpam-5507	581	2	sum	sum	NOUN
ejpam-5507	581	3	of	of	ADP
ejpam-5507	581	4	new	new	ADJ
ejpam-5507	581	5	type	type	NOUN
ejpam-5507	581	6	of	of	ADP
ejpam-5507	581	7	mixture	mixture	NOUN
ejpam-5507	581	8	of	of	ADP
ejpam-5507	581	9	distribution	distribution	NOUN
ejpam-5507	581	10	.	.	PUNCT
ejpam-5507	582	1	international	international	ADJ
ejpam-5507	582	2	journal	journal	PROPN
ejpam-5507	582	3	of	of	ADP
ejpam-5507	582	4	statistics	statistic	NOUN
ejpam-5507	582	5	and	and	CCONJ
ejpam-5507	582	6	systems	system	NOUN
ejpam-5507	582	7	,	,	PUNCT
ejpam-5507	582	8	2(1):49–57	2(1):49–57	NUM
ejpam-5507	582	9	,	,	PUNCT
ejpam-5507	582	10	2007	2007	NUM
ejpam-5507	582	11	.	.	PUNCT
ejpam-5507	583	1	[	[	X
ejpam-5507	583	2	15	15	NUM
ejpam-5507	583	3	]	]	X
ejpam-5507	583	4	nicholas	nicholas	PROPN
ejpam-5507	583	5	eugene	eugene	PROPN
ejpam-5507	583	6	,	,	PUNCT
ejpam-5507	583	7	carl	carl	PROPN
ejpam-5507	583	8	lee	lee	PROPN
ejpam-5507	583	9	,	,	PUNCT
ejpam-5507	583	10	and	and	CCONJ
ejpam-5507	583	11	felix	felix	PROPN
ejpam-5507	583	12	famoye	famoye	PROPN
ejpam-5507	583	13	.	.	PUNCT
ejpam-5507	584	1	beta	beta	NOUN
ejpam-5507	584	2	-	-	PUNCT
ejpam-5507	584	3	normal	normal	ADJ
ejpam-5507	584	4	distribution	distribution	NOUN
ejpam-5507	584	5	and	and	CCONJ
ejpam-5507	584	6	its	its	PRON
ejpam-5507	584	7	applications	application	NOUN
ejpam-5507	584	8	.	.	PUNCT
ejpam-5507	585	1	communications	communication	NOUN
ejpam-5507	585	2	in	in	ADP
ejpam-5507	585	3	statistics	statistic	NOUN
ejpam-5507	585	4	-	-	PUNCT
ejpam-5507	585	5	theory	theory	NOUN
ejpam-5507	585	6	and	and	CCONJ
ejpam-5507	585	7	methods	method	NOUN
ejpam-5507	585	8	,	,	PUNCT
ejpam-5507	585	9	31(4):497–512	31(4):497–512	NUM
ejpam-5507	585	10	,	,	PUNCT
ejpam-5507	585	11	2002	2002	NUM
ejpam-5507	585	12	.	.	PUNCT
ejpam-5507	586	1	[	[	X
ejpam-5507	586	2	16	16	NUM
ejpam-5507	586	3	]	]	PUNCT
ejpam-5507	586	4	felix	felix	PROPN
ejpam-5507	586	5	famoye	famoye	PROPN
ejpam-5507	586	6	,	,	PUNCT
ejpam-5507	586	7	carl	carl	PROPN
ejpam-5507	586	8	lee	lee	PROPN
ejpam-5507	586	9	,	,	PUNCT
ejpam-5507	586	10	and	and	CCONJ
ejpam-5507	586	11	olumolade	olumolade	VERB
ejpam-5507	586	12	olugbenga	olugbenga	NOUN
ejpam-5507	586	13	.	.	PUNCT
ejpam-5507	587	1	the	the	DET
ejpam-5507	587	2	beta	beta	NOUN
ejpam-5507	587	3	-	-	PUNCT
ejpam-5507	587	4	weibull	weibull	NOUN
ejpam-5507	587	5	distribution	distribution	NOUN
ejpam-5507	587	6	.	.	PUNCT
ejpam-5507	588	1	4(2):121–138	4(2):121–138	NOUN
ejpam-5507	588	2	,	,	PUNCT
ejpam-5507	588	3	2005	2005	NUM
ejpam-5507	588	4	.	.	PUNCT
ejpam-5507	589	1	[	[	X
ejpam-5507	589	2	17	17	NUM
ejpam-5507	589	3	]	]	PUNCT
ejpam-5507	589	4	ej	ej	PROPN
ejpam-5507	589	5	gumbel	gumbel	PROPN
ejpam-5507	589	6	.	.	PUNCT
ejpam-5507	589	7	multivariate	multivariate	NOUN
ejpam-5507	589	8	distributions	distribution	NOUN
ejpam-5507	589	9	with	with	ADP
ejpam-5507	589	10	given	give	VERB
ejpam-5507	589	11	margins	margin	NOUN
ejpam-5507	589	12	and	and	CCONJ
ejpam-5507	589	13	analytical	analytical	ADJ
ejpam-5507	589	14	examples	example	NOUN
ejpam-5507	589	15	.	.	PUNCT
ejpam-5507	590	1	bulletin	bulletin	PROPN
ejpam-5507	590	2	de	de	X
ejpam-5507	590	3	l’institut	l’institut	PROPN
ejpam-5507	590	4	international	international	ADJ
ejpam-5507	590	5	de	de	X
ejpam-5507	590	6	statistique	statistique	NOUN
ejpam-5507	590	7	,	,	PUNCT
ejpam-5507	590	8	37(3):363–373	37(3):363–373	NOUN
ejpam-5507	590	9	,	,	PUNCT
ejpam-5507	590	10	1960	1960	NUM
ejpam-5507	590	11	.	.	PUNCT
ejpam-5507	591	1	[	[	X
ejpam-5507	591	2	18	18	NUM
ejpam-5507	591	3	]	]	X
ejpam-5507	591	4	amal	amal	PROPN
ejpam-5507	591	5	hassan	hassan	PROPN
ejpam-5507	591	6	,	,	PUNCT
ejpam-5507	591	7	mohamed	mohamed	PROPN
ejpam-5507	591	8	sabry	sabry	PROPN
ejpam-5507	591	9	,	,	PUNCT
ejpam-5507	591	10	and	and	CCONJ
ejpam-5507	591	11	ahmed	ahmed	PROPN
ejpam-5507	591	12	elsehetry	elsehetry	PROPN
ejpam-5507	591	13	.	.	PUNCT
ejpam-5507	592	1	a	a	DET
ejpam-5507	592	2	new	new	ADJ
ejpam-5507	592	3	probability	probability	NOUN
ejpam-5507	592	4	distribution	distribution	NOUN
ejpam-5507	592	5	family	family	NOUN
ejpam-5507	592	6	arising	arise	VERB
ejpam-5507	592	7	from	from	ADP
ejpam-5507	592	8	truncated	truncated	ADJ
ejpam-5507	592	9	power	power	NOUN
ejpam-5507	592	10	lomax	lomax	PROPN
ejpam-5507	592	11	distribution	distribution	NOUN
ejpam-5507	592	12	with	with	ADP
ejpam-5507	592	13	application	application	NOUN
ejpam-5507	592	14	to	to	ADP
ejpam-5507	592	15	weibull	weibull	PROPN
ejpam-5507	592	16	model	model	PROPN
ejpam-5507	592	17	.	.	PUNCT
ejpam-5507	593	1	pakistan	pakistan	PROPN
ejpam-5507	593	2	journal	journal	PROPN
ejpam-5507	593	3	of	of	ADP
ejpam-5507	593	4	statistics	statistic	NOUN
ejpam-5507	593	5	and	and	CCONJ
ejpam-5507	593	6	operation	operation	NOUN
ejpam-5507	593	7	research	research	NOUN
ejpam-5507	593	8	,	,	PUNCT
ejpam-5507	593	9	pages	page	NOUN
ejpam-5507	593	10	661–674	661–674	NUM
ejpam-5507	593	11	,	,	PUNCT
ejpam-5507	593	12	2020	2020	NUM
ejpam-5507	593	13	.	.	PUNCT
ejpam-5507	594	1	[	[	X
ejpam-5507	594	2	19	19	NUM
ejpam-5507	594	3	]	]	X
ejpam-5507	594	4	farrukh	farrukh	PROPN
ejpam-5507	594	5	jamal	jamal	PROPN
ejpam-5507	594	6	,	,	PUNCT
ejpam-5507	594	7	hassan	hassan	PROPN
ejpam-5507	594	8	bakouch	bakouch	ADJ
ejpam-5507	594	9	,	,	PUNCT
ejpam-5507	594	10	and	and	CCONJ
ejpam-5507	594	11	arslan	arslan	PROPN
ejpam-5507	594	12	nasir	nasir	PROPN
ejpam-5507	594	13	.	.	PUNCT
ejpam-5507	595	1	a	a	DET
ejpam-5507	595	2	truncated	truncated	ADJ
ejpam-5507	595	3	general	general	ADJ
ejpam-5507	595	4	-	-	PUNCT
ejpam-5507	595	5	g	g	NOUN
ejpam-5507	595	6	class	class	NOUN
ejpam-5507	595	7	of	of	ADP
ejpam-5507	595	8	distributions	distribution	NOUN
ejpam-5507	595	9	with	with	ADP
ejpam-5507	595	10	application	application	NOUN
ejpam-5507	595	11	to	to	ADP
ejpam-5507	595	12	truncated	truncated	ADJ
ejpam-5507	595	13	burr	burr	NOUN
ejpam-5507	595	14	-	-	PUNCT
ejpam-5507	595	15	g	g	PROPN
ejpam-5507	595	16	family	family	NOUN
ejpam-5507	595	17	.	.	PUNCT
ejpam-5507	596	1	2018	2018	NUM
ejpam-5507	596	2	.	.	PUNCT
ejpam-5507	597	1	[	[	X
ejpam-5507	597	2	20	20	NUM
ejpam-5507	597	3	]	]	X
ejpam-5507	597	4	robert	robert	PROPN
ejpam-5507	597	5	p	p	PROPN
ejpam-5507	597	6	mcewen	mcewen	PROPN
ejpam-5507	597	7	and	and	CCONJ
ejpam-5507	597	8	bernard	bernard	NOUN
ejpam-5507	597	9	r	r	NOUN
ejpam-5507	597	10	parresol	parresol	NOUN
ejpam-5507	597	11	.	.	PUNCT
ejpam-5507	598	1	moment	moment	NOUN
ejpam-5507	598	2	expressions	expression	NOUN
ejpam-5507	598	3	and	and	CCONJ
ejpam-5507	598	4	summary	summary	NOUN
ejpam-5507	598	5	statistics	statistic	NOUN
ejpam-5507	598	6	for	for	ADP
ejpam-5507	598	7	the	the	DET
ejpam-5507	598	8	complete	complete	ADJ
ejpam-5507	598	9	and	and	CCONJ
ejpam-5507	598	10	truncated	truncated	ADJ
ejpam-5507	598	11	weibull	weibull	NOUN
ejpam-5507	598	12	distribution	distribution	NOUN
ejpam-5507	598	13	.	.	PUNCT
ejpam-5507	599	1	communications	communication	NOUN
ejpam-5507	599	2	in	in	ADP
ejpam-5507	599	3	statistics	statistic	NOUN
ejpam-5507	599	4	-	-	PUNCT
ejpam-5507	599	5	theory	theory	NOUN
ejpam-5507	599	6	and	and	CCONJ
ejpam-5507	599	7	methods	method	NOUN
ejpam-5507	599	8	,	,	PUNCT
ejpam-5507	599	9	20(4):1361–1372	20(4):1361–1372	NUM
ejpam-5507	599	10	,	,	PUNCT
ejpam-5507	599	11	1991	1991	NUM
ejpam-5507	599	12	.	.	PUNCT
ejpam-5507	600	1	[	[	X
ejpam-5507	600	2	21	21	NUM
ejpam-5507	600	3	]	]	X
ejpam-5507	600	4	ca	can	AUX
ejpam-5507	600	5	mcgilchrist	mcgilchrist	VERB
ejpam-5507	600	6	and	and	CCONJ
ejpam-5507	600	7	cw	cw	NOUN
ejpam-5507	600	8	aisbett	aisbett	PROPN
ejpam-5507	600	9	.	.	PUNCT
ejpam-5507	601	1	regression	regression	NOUN
ejpam-5507	601	2	with	with	ADP
ejpam-5507	601	3	frailty	frailty	NOUN
ejpam-5507	601	4	in	in	ADP
ejpam-5507	601	5	survival	survival	NOUN
ejpam-5507	601	6	analysis	analysis	NOUN
ejpam-5507	601	7	.	.	PUNCT
ejpam-5507	602	1	biometrics	biometric	NOUN
ejpam-5507	602	2	,	,	PUNCT
ejpam-5507	602	3	pages	page	NOUN
ejpam-5507	602	4	461–466	461–466	NUM
ejpam-5507	602	5	,	,	PUNCT
ejpam-5507	602	6	1991	1991	NUM
ejpam-5507	602	7	.	.	PUNCT
ejpam-5507	603	1	[	[	X
ejpam-5507	603	2	22	22	NUM
ejpam-5507	603	3	]	]	PUNCT
ejpam-5507	603	4	at	at	ADP
ejpam-5507	603	5	mckay	mckay	PROPN
ejpam-5507	603	6	.	.	PUNCT
ejpam-5507	604	1	sampling	sample	VERB
ejpam-5507	604	2	from	from	ADP
ejpam-5507	604	3	batches	batch	NOUN
ejpam-5507	604	4	.	.	PUNCT
ejpam-5507	605	1	supplement	supplement	NOUN
ejpam-5507	605	2	to	to	ADP
ejpam-5507	605	3	the	the	DET
ejpam-5507	605	4	journal	journal	NOUN
ejpam-5507	605	5	of	of	ADP
ejpam-5507	605	6	the	the	DET
ejpam-5507	605	7	royal	royal	ADJ
ejpam-5507	605	8	statistical	statistical	ADJ
ejpam-5507	605	9	society	society	NOUN
ejpam-5507	605	10	,	,	PUNCT
ejpam-5507	605	11	1(2):207–216	1(2):207–216	NUM
ejpam-5507	605	12	,	,	PUNCT
ejpam-5507	605	13	1934	1934	NUM
ejpam-5507	605	14	.	.	PUNCT
ejpam-5507	606	1	appendix	appendix	VERB
ejpam-5507	606	2	3970	3970	NUM
ejpam-5507	606	3	[	[	X
ejpam-5507	606	4	23	23	NUM
ejpam-5507	606	5	]	]	PUNCT
ejpam-5507	606	6	saralees	saralee	NOUN
ejpam-5507	606	7	nadarajah	nadarajah	PROPN
ejpam-5507	606	8	,	,	PUNCT
ejpam-5507	606	9	k	k	PROPN
ejpam-5507	606	10	jayakumar	jayakumar	NOUN
ejpam-5507	606	11	,	,	PUNCT
ejpam-5507	606	12	and	and	CCONJ
ejpam-5507	606	13	miroslav	miroslav	ADJ
ejpam-5507	606	14	m	m	PROPN
ejpam-5507	606	15	ristić.	ristić.	PROPN
ejpam-5507	606	16	a	a	DET
ejpam-5507	606	17	new	new	ADJ
ejpam-5507	606	18	family	family	NOUN
ejpam-5507	606	19	of	of	ADP
ejpam-5507	606	20	lifetime	lifetime	NOUN
ejpam-5507	606	21	models	model	NOUN
ejpam-5507	606	22	.	.	PUNCT
ejpam-5507	607	1	journal	journal	NOUN
ejpam-5507	607	2	of	of	ADP
ejpam-5507	607	3	statistical	statistical	ADJ
ejpam-5507	607	4	computation	computation	NOUN
ejpam-5507	607	5	and	and	CCONJ
ejpam-5507	607	6	simulation	simulation	NOUN
ejpam-5507	607	7	,	,	PUNCT
ejpam-5507	607	8	83(8):1389–1404	83(8):1389–1404	NUM
ejpam-5507	607	9	,	,	PUNCT
ejpam-5507	607	10	2013	2013	NUM
ejpam-5507	607	11	.	.	PUNCT
ejpam-5507	608	1	[	[	X
ejpam-5507	608	2	24	24	NUM
ejpam-5507	608	3	]	]	X
ejpam-5507	608	4	hossein	hossein	PROPN
ejpam-5507	608	5	najarzadegan	najarzadegan	PROPN
ejpam-5507	608	6	,	,	PUNCT
ejpam-5507	608	7	mohammad	mohammad	PROPN
ejpam-5507	608	8	hossein	hossein	PROPN
ejpam-5507	608	9	alamatsaz	alamatsaz	PROPN
ejpam-5507	608	10	,	,	PUNCT
ejpam-5507	608	11	and	and	CCONJ
ejpam-5507	608	12	saied	saie	VERB
ejpam-5507	608	13	hayati	hayati	NOUN
ejpam-5507	608	14	.	.	PUNCT
ejpam-5507	609	1	truncated	truncate	VERB
ejpam-5507	609	2	weibull	weibull	PROPN
ejpam-5507	609	3	-	-	PUNCT
ejpam-5507	609	4	g	g	NOUN
ejpam-5507	609	5	more	more	ADV
ejpam-5507	609	6	flexible	flexible	ADJ
ejpam-5507	609	7	and	and	CCONJ
ejpam-5507	609	8	more	more	ADV
ejpam-5507	609	9	reliable	reliable	ADJ
ejpam-5507	609	10	than	than	ADP
ejpam-5507	609	11	geta	geta	NOUN
ejpam-5507	609	12	-	-	PUNCT
ejpam-5507	609	13	g	g	NOUN
ejpam-5507	609	14	distribution	distribution	NOUN
ejpam-5507	609	15	.	.	PUNCT
ejpam-5507	610	1	international	international	ADJ
ejpam-5507	610	2	journal	journal	PROPN
ejpam-5507	610	3	of	of	ADP
ejpam-5507	610	4	statistics	statistic	NOUN
ejpam-5507	610	5	and	and	CCONJ
ejpam-5507	610	6	probability	probability	NOUN
ejpam-5507	610	7	,	,	PUNCT
ejpam-5507	610	8	6(5):1–17	6(5):1–17	NUM
ejpam-5507	610	9	,	,	PUNCT
ejpam-5507	610	10	2017	2017	NUM
ejpam-5507	610	11	.	.	PUNCT
ejpam-5507	611	1	[	[	X
ejpam-5507	611	2	25	25	NUM
ejpam-5507	611	3	]	]	X
ejpam-5507	611	4	idika	idika	X
ejpam-5507	611	5	e	e	NOUN
ejpam-5507	611	6	okorie	okorie	PROPN
ejpam-5507	611	7	,	,	PUNCT
ejpam-5507	611	8	anthony	anthony	PROPN
ejpam-5507	611	9	c	c	PROPN
ejpam-5507	611	10	akpanta	akpanta	PROPN
ejpam-5507	611	11	,	,	PUNCT
ejpam-5507	611	12	and	and	CCONJ
ejpam-5507	611	13	johnson	johnson	PROPN
ejpam-5507	611	14	ohakwe	ohakwe	PROPN
ejpam-5507	611	15	.	.	PUNCT
ejpam-5507	612	1	transmuted	transmute	VERB
ejpam-5507	612	2	erlangtruncated	erlangtruncate	VERB
ejpam-5507	612	3	exponential	exponential	ADJ
ejpam-5507	612	4	distribution	distribution	NOUN
ejpam-5507	612	5	.	.	PUNCT
ejpam-5507	613	1	economic	economic	ADJ
ejpam-5507	613	2	quality	quality	NOUN
ejpam-5507	613	3	control	control	NOUN
ejpam-5507	613	4	,	,	PUNCT
ejpam-5507	613	5	31(2):71–84	31(2):71–84	NUM
ejpam-5507	613	6	,	,	PUNCT
ejpam-5507	613	7	2016	2016	NUM
ejpam-5507	613	8	.	.	PUNCT
ejpam-5507	614	1	[	[	X
ejpam-5507	614	2	26	26	NUM
ejpam-5507	614	3	]	]	X
ejpam-5507	614	4	ingram	ingram	PROPN
ejpam-5507	614	5	olkin	olkin	PROPN
ejpam-5507	614	6	and	and	CCONJ
ejpam-5507	614	7	ruixue	ruixue	PROPN
ejpam-5507	614	8	liu	liu	PROPN
ejpam-5507	614	9	.	.	PUNCT
ejpam-5507	615	1	a	a	DET
ejpam-5507	615	2	bivariate	bivariate	ADJ
ejpam-5507	615	3	beta	beta	ADJ
ejpam-5507	615	4	distribution	distribution	NOUN
ejpam-5507	615	5	.	.	PUNCT
ejpam-5507	616	1	statistics	statistic	NOUN
ejpam-5507	616	2	&	&	CCONJ
ejpam-5507	616	3	probability	probability	NOUN
ejpam-5507	616	4	letters	letter	NOUN
ejpam-5507	616	5	,	,	PUNCT
ejpam-5507	616	6	62(4):407–412	62(4):407–412	PROPN
ejpam-5507	616	7	,	,	PUNCT
ejpam-5507	616	8	2003	2003	NUM
ejpam-5507	616	9	.	.	PUNCT
ejpam-5507	617	1	[	[	X
ejpam-5507	617	2	27	27	NUM
ejpam-5507	617	3	]	]	X
ejpam-5507	617	4	steven	steven	PROPN
ejpam-5507	617	5	e	e	PROPN
ejpam-5507	617	6	rigdon	rigdon	PROPN
ejpam-5507	617	7	and	and	CCONJ
ejpam-5507	617	8	asit	asit	PROPN
ejpam-5507	617	9	p	p	PROPN
ejpam-5507	617	10	basu	basu	PROPN
ejpam-5507	617	11	.	.	PUNCT
ejpam-5507	618	1	statistical	statistical	ADJ
ejpam-5507	618	2	methods	method	NOUN
ejpam-5507	618	3	for	for	ADP
ejpam-5507	618	4	the	the	DET
ejpam-5507	618	5	reliability	reliability	NOUN
ejpam-5507	618	6	of	of	ADP
ejpam-5507	618	7	repairable	repairable	ADJ
ejpam-5507	618	8	systems	system	NOUN
ejpam-5507	618	9	.	.	PUNCT
ejpam-5507	619	1	wiley	wiley	PROPN
ejpam-5507	619	2	new	new	PROPN
ejpam-5507	619	3	york	york	PROPN
ejpam-5507	619	4	,	,	PUNCT
ejpam-5507	619	5	2000	2000	NUM
ejpam-5507	619	6	.	.	PUNCT
ejpam-5507	620	1	[	[	X
ejpam-5507	620	2	28	28	NUM
ejpam-5507	620	3	]	]	X
ejpam-5507	620	4	josé	josé	ADJ
ejpam-5507	620	5	maŕıa	maŕıa	ADP
ejpam-5507	620	6	sarabia	sarabia	PROPN
ejpam-5507	620	7	,	,	PUNCT
ejpam-5507	620	8	faustino	faustino	PROPN
ejpam-5507	620	9	prieto	prieto	PROPN
ejpam-5507	620	10	,	,	PUNCT
ejpam-5507	620	11	and	and	CCONJ
ejpam-5507	620	12	vanesa	vanesa	PROPN
ejpam-5507	620	13	jordá.	jordá.	PROPN
ejpam-5507	620	14	bivariate	bivariate	ADJ
ejpam-5507	620	15	beta	beta	NOUN
ejpam-5507	620	16	-	-	PUNCT
ejpam-5507	620	17	generated	generate	VERB
ejpam-5507	620	18	distributions	distribution	NOUN
ejpam-5507	620	19	with	with	ADP
ejpam-5507	620	20	applications	application	NOUN
ejpam-5507	620	21	to	to	PART
ejpam-5507	620	22	well	well	ADV
ejpam-5507	620	23	-	-	PUNCT
ejpam-5507	620	24	being	be	AUX
ejpam-5507	620	25	data	datum	NOUN
ejpam-5507	620	26	.	.	PUNCT
ejpam-5507	621	1	journal	journal	NOUN
ejpam-5507	621	2	of	of	ADP
ejpam-5507	621	3	statistical	statistical	ADJ
ejpam-5507	621	4	distributions	distribution	NOUN
ejpam-5507	621	5	and	and	CCONJ
ejpam-5507	621	6	applications	application	NOUN
ejpam-5507	621	7	,	,	PUNCT
ejpam-5507	621	8	1(1):1–26	1(1):1–26	NUM
ejpam-5507	621	9	,	,	PUNCT
ejpam-5507	621	10	2014	2014	NUM
ejpam-5507	621	11	.	.	PUNCT
ejpam-5507	622	1	appendix	appendix	VERB
ejpam-5507	622	2	real	real	ADJ
ejpam-5507	622	3	data	datum	NOUN
ejpam-5507	622	4	sets	set	VERB
ejpam-5507	622	5	1patients	1patients	NUM
ejpam-5507	622	6	data	datum	NOUN
ejpam-5507	622	7	x1	x1	ADJ
ejpam-5507	622	8	8	8	NUM
ejpam-5507	622	9	,	,	PUNCT
ejpam-5507	622	10	23	23	NUM
ejpam-5507	622	11	,	,	PUNCT
ejpam-5507	622	12	22	22	NUM
ejpam-5507	622	13	,	,	PUNCT
ejpam-5507	622	14	447	447	NUM
ejpam-5507	622	15	,	,	PUNCT
ejpam-5507	622	16	30	30	NUM
ejpam-5507	622	17	,	,	PUNCT
ejpam-5507	622	18	24	24	NUM
ejpam-5507	622	19	,	,	PUNCT
ejpam-5507	622	20	7	7	NUM
ejpam-5507	622	21	,	,	PUNCT
ejpam-5507	622	22	511	511	NUM
ejpam-5507	622	23	,	,	PUNCT
ejpam-5507	622	24	53	53	NUM
ejpam-5507	622	25	,	,	PUNCT
ejpam-5507	622	26	15	15	NUM
ejpam-5507	622	27	,	,	PUNCT
ejpam-5507	622	28	7	7	NUM
ejpam-5507	622	29	,	,	PUNCT
ejpam-5507	622	30	141	141	NUM
ejpam-5507	622	31	,	,	PUNCT
ejpam-5507	622	32	96	96	NUM
ejpam-5507	622	33	,	,	PUNCT
ejpam-5507	622	34	149	149	NUM
ejpam-5507	622	35	,	,	PUNCT
ejpam-5507	622	36	536	536	NUM
ejpam-5507	622	37	,	,	PUNCT
ejpam-5507	622	38	17	17	NUM
ejpam-5507	622	39	,	,	PUNCT
ejpam-5507	622	40	185	185	NUM
ejpam-5507	622	41	,	,	PUNCT
ejpam-5507	622	42	292	292	NUM
ejpam-5507	622	43	,	,	PUNCT
ejpam-5507	622	44	22	22	NUM
ejpam-5507	622	45	,	,	PUNCT
ejpam-5507	622	46	15	15	NUM
ejpam-5507	622	47	,	,	PUNCT
ejpam-5507	622	48	152	152	NUM
ejpam-5507	622	49	,	,	PUNCT
ejpam-5507	622	50	402	402	NUM
ejpam-5507	622	51	,	,	PUNCT
ejpam-5507	622	52	13	13	NUM
ejpam-5507	622	53	,	,	PUNCT
ejpam-5507	622	54	39	39	NUM
ejpam-5507	622	55	,	,	PUNCT
ejpam-5507	622	56	12	12	NUM
ejpam-5507	622	57	,	,	PUNCT
ejpam-5507	622	58	113,132	113,132	NUM
ejpam-5507	622	59	,	,	PUNCT
ejpam-5507	622	60	34	34	NUM
ejpam-5507	622	61	,	,	PUNCT
ejpam-5507	622	62	2	2	NUM
ejpam-5507	622	63	,	,	PUNCT
ejpam-5507	622	64	130	130	NUM
ejpam-5507	622	65	.	.	PUNCT
ejpam-5507	623	1	x2	x2	PROPN
ejpam-5507	623	2	16	16	NUM
ejpam-5507	623	3	,	,	PUNCT
ejpam-5507	623	4	13	13	NUM
ejpam-5507	623	5	,	,	PUNCT
ejpam-5507	623	6	28	28	NUM
ejpam-5507	623	7	,	,	PUNCT
ejpam-5507	623	8	318	318	NUM
ejpam-5507	623	9	,	,	PUNCT
ejpam-5507	623	10	12	12	NUM
ejpam-5507	623	11	,	,	PUNCT
ejpam-5507	623	12	245	245	NUM
ejpam-5507	623	13	,	,	PUNCT
ejpam-5507	623	14	9	9	NUM
ejpam-5507	623	15	,	,	PUNCT
ejpam-5507	623	16	30	30	NUM
ejpam-5507	623	17	,	,	PUNCT
ejpam-5507	623	18	196	196	NUM
ejpam-5507	623	19	,	,	PUNCT
ejpam-5507	623	20	154	154	NUM
ejpam-5507	623	21	,	,	PUNCT
ejpam-5507	623	22	333	333	NUM
ejpam-5507	623	23	,	,	PUNCT
ejpam-5507	623	24	8	8	NUM
ejpam-5507	623	25	,	,	PUNCT
ejpam-5507	623	26	38	38	NUM
ejpam-5507	623	27	,	,	PUNCT
ejpam-5507	623	28	70,25	70,25	NUM
ejpam-5507	623	29	,	,	PUNCT
ejpam-5507	623	30	4	4	NUM
ejpam-5507	623	31	,	,	PUNCT
ejpam-5507	623	32	117	117	NUM
ejpam-5507	623	33	,	,	PUNCT
ejpam-5507	623	34	114	114	NUM
ejpam-5507	623	35	,	,	PUNCT
ejpam-5507	623	36	159	159	NUM
ejpam-5507	623	37	,	,	PUNCT
ejpam-5507	623	38	108	108	NUM
ejpam-5507	623	39	,	,	PUNCT
ejpam-5507	623	40	362	362	NUM
ejpam-5507	623	41	,	,	PUNCT
ejpam-5507	623	42	24	24	NUM
ejpam-5507	623	43	,	,	PUNCT
ejpam-5507	623	44	66	66	NUM
ejpam-5507	623	45	,	,	PUNCT
ejpam-5507	623	46	46	46	NUM
ejpam-5507	623	47	,	,	PUNCT
ejpam-5507	623	48	40	40	NUM
ejpam-5507	623	49	,	,	PUNCT
ejpam-5507	623	50	201	201	NUM
ejpam-5507	623	51	,	,	PUNCT
ejpam-5507	623	52	156	156	NUM
ejpam-5507	623	53	,	,	PUNCT
ejpam-5507	623	54	30	30	NUM
ejpam-5507	623	55	,	,	PUNCT
ejpam-5507	623	56	25	25	NUM
ejpam-5507	623	57	,	,	PUNCT
ejpam-5507	623	58	26	26	NUM
ejpam-5507	623	59	.	.	X
ejpam-5507	624	1	2gross	2gross	NUM
ejpam-5507	624	2	national	national	ADJ
ejpam-5507	624	3	income	income	NOUN
ejpam-5507	624	4	data	datum	NOUN
ejpam-5507	624	5	x1	x1	PROPN
ejpam-5507	624	6	0.1822	0.1822	NUM
ejpam-5507	624	7	,	,	PUNCT
ejpam-5507	624	8	1.1512	1.1512	NUM
ejpam-5507	624	9	,	,	PUNCT
ejpam-5507	624	10	1.3809	1.3809	NUM
ejpam-5507	624	11	,	,	PUNCT
ejpam-5507	624	12	4.6252	4.6252	NUM
ejpam-5507	624	13	,	,	PUNCT
ejpam-5507	624	14	0.5956	0.5956	NUM
ejpam-5507	624	15	,	,	PUNCT
ejpam-5507	624	16	2.0302	2.0302	NUM
ejpam-5507	624	17	,	,	PUNCT
ejpam-5507	624	18	1.7857	1.7857	NUM
ejpam-5507	624	19	,	,	PUNCT
ejpam-5507	624	20	0.8350	0.8350	NUM
ejpam-5507	624	21	,	,	PUNCT
ejpam-5507	624	22	4.3637	4.3637	NUM
ejpam-5507	624	23	,	,	PUNCT
ejpam-5507	624	24	4.4443	4.4443	NUM
ejpam-5507	624	25	,	,	PUNCT
ejpam-5507	624	26	1.5751	1.5751	NUM
ejpam-5507	624	27	,	,	PUNCT
ejpam-5507	624	28	2.6632	2.6632	NUM
ejpam-5507	624	29	,	,	PUNCT
ejpam-5507	624	30	4.1918	4.1918	NUM
ejpam-5507	624	31	,	,	PUNCT
ejpam-5507	624	32	0.3509	0.3509	NUM
ejpam-5507	624	33	,	,	PUNCT
ejpam-5507	624	34	1.5622	1.5622	NUM
ejpam-5507	624	35	,	,	PUNCT
ejpam-5507	624	36	1.5765	1.5765	NUM
ejpam-5507	624	37	,	,	PUNCT
ejpam-5507	624	38	4.1588	4.1588	NUM
ejpam-5507	624	39	,	,	PUNCT
ejpam-5507	624	40	0.7419	0.7419	NUM
ejpam-5507	624	41	,	,	PUNCT
ejpam-5507	624	42	0.2010	0.2010	NUM
ejpam-5507	624	43	,	,	PUNCT
ejpam-5507	624	44	0.7574	0.7574	NUM
ejpam-5507	624	45	,	,	PUNCT
ejpam-5507	624	46	0.6621	0.6621	NUM
ejpam-5507	624	47	,	,	PUNCT
ejpam-5507	624	48	1.1353	1.1353	NUM
ejpam-5507	624	49	,	,	PUNCT
ejpam-5507	624	50	1.5455	1.5455	NUM
ejpam-5507	624	51	,	,	PUNCT
ejpam-5507	624	52	1.3730	1.3730	NUM
ejpam-5507	624	53	,	,	PUNCT
ejpam-5507	624	54	7.6870	7.6870	NUM
ejpam-5507	624	55	,	,	PUNCT
ejpam-5507	624	56	1.7759	1.7759	NUM
ejpam-5507	624	57	,	,	PUNCT
ejpam-5507	624	58	0.1600	0.1600	NUM
ejpam-5507	624	59	,	,	PUNCT
ejpam-5507	624	60	0.0721	0.0721	NUM
ejpam-5507	624	61	,	,	PUNCT
ejpam-5507	624	62	0.5829	0.5829	NUM
ejpam-5507	624	63	,	,	PUNCT
ejpam-5507	624	64	0.3246	0.3246	NUM
ejpam-5507	624	65	,	,	PUNCT
ejpam-5507	624	66	0.3280	0.3280	NUM
ejpam-5507	624	67	,	,	PUNCT
ejpam-5507	624	68	4.2664	4.2664	NUM
ejpam-5507	624	69	,	,	PUNCT
ejpam-5507	624	70	0.0644	0.0644	NUM
ejpam-5507	624	71	,	,	PUNCT
ejpam-5507	624	72	0.1850	0.1850	NUM
ejpam-5507	624	73	,	,	PUNCT
ejpam-5507	624	74	2.1768	2.1768	NUM
ejpam-5507	624	75	,	,	PUNCT
ejpam-5507	624	76	1.4354	1.4354	NUM
ejpam-5507	624	77	,	,	PUNCT
ejpam-5507	624	78	1.3050	1.3050	NUM
ejpam-5507	624	79	,	,	PUNCT
ejpam-5507	624	80	0.1396	0.1396	NUM
ejpam-5507	624	81	,	,	PUNCT
ejpam-5507	624	82	0.6630	0.6630	NUM
ejpam-5507	624	83	,	,	PUNCT
ejpam-5507	624	84	0.0792	0.0792	NUM
ejpam-5507	624	85	,	,	PUNCT
ejpam-5507	624	86	1.4490	1.4490	NUM
ejpam-5507	624	87	,	,	PUNCT
ejpam-5507	624	88	2.1088	2.1088	NUM
ejpam-5507	624	89	,	,	PUNCT
ejpam-5507	624	90	0.7487	0.7487	NUM
ejpam-5507	624	91	,	,	PUNCT
ejpam-5507	624	92	3.0955	3.0955	NUM
ejpam-5507	624	93	,	,	PUNCT
ejpam-5507	624	94	2.9400	2.9400	NUM
ejpam-5507	624	95	,	,	PUNCT
ejpam-5507	624	96	0.3323	0.3323	NUM
ejpam-5507	624	97	,	,	PUNCT
ejpam-5507	624	98	4.7209	4.7209	NUM
ejpam-5507	624	99	,	,	PUNCT
ejpam-5507	624	100	0.3268	0.3268	NUM
ejpam-5507	624	101	,	,	PUNCT
ejpam-5507	624	102	0.8756	0.8756	NUM
ejpam-5507	624	103	,	,	PUNCT
ejpam-5507	624	104	1.3282	1.3282	NUM
ejpam-5507	624	105	,	,	PUNCT
ejpam-5507	624	106	1.0234	1.0234	NUM
ejpam-5507	624	107	,	,	PUNCT
ejpam-5507	624	108	1.0185	1.0185	NUM
ejpam-5507	624	109	,	,	PUNCT
ejpam-5507	624	110	0.7663	0.7663	NUM
ejpam-5507	624	111	,	,	PUNCT
ejpam-5507	624	112	2.1316	2.1316	NUM
ejpam-5507	624	113	,	,	PUNCT
ejpam-5507	624	114	0.1700	0.1700	NUM
ejpam-5507	624	115	,	,	PUNCT
ejpam-5507	624	116	2.7645	2.7645	NUM
ejpam-5507	624	117	,	,	PUNCT
ejpam-5507	624	118	0.7702	0.7702	NUM
ejpam-5507	624	119	,	,	PUNCT
ejpam-5507	624	120	0.1603	0.1603	NUM
ejpam-5507	624	121	,	,	PUNCT
ejpam-5507	624	122	0.8080	0.8080	NUM
ejpam-5507	624	123	,	,	PUNCT
ejpam-5507	624	124	4.0066	4.0066	NUM
ejpam-5507	624	125	,	,	PUNCT
ejpam-5507	624	126	3.8702	3.8702	NUM
ejpam-5507	624	127	,	,	PUNCT
ejpam-5507	624	128	1.6623	1.6623	NUM
ejpam-5507	624	129	,	,	PUNCT
ejpam-5507	624	130	0.1510	0.1510	NUM
ejpam-5507	624	131	,	,	PUNCT
ejpam-5507	624	132	0.8785	0.8785	NUM
ejpam-5507	624	133	,	,	PUNCT
ejpam-5507	624	134	4.5203	4.5203	NUM
ejpam-5507	624	135	,	,	PUNCT
ejpam-5507	624	136	0.3889	0.3889	NUM
ejpam-5507	624	137	,	,	PUNCT
ejpam-5507	624	138	2.4284	2.4284	NUM
ejpam-5507	624	139	,	,	PUNCT
ejpam-5507	624	140	1.2460	1.2460	NUM
ejpam-5507	624	141	,	,	PUNCT
ejpam-5507	624	142	0.7191	0.7191	NUM
ejpam-5507	624	143	,	,	PUNCT
ejpam-5507	624	144	0.1779	0.1779	NUM
ejpam-5507	624	145	,	,	PUNCT
ejpam-5507	624	146	appendix	appendix	VERB
ejpam-5507	624	147	3971	3971	NUM
ejpam-5507	624	148	0.1540	0.1540	NUM
ejpam-5507	624	149	,	,	PUNCT
ejpam-5507	624	150	0.7278	0.7278	NUM
ejpam-5507	624	151	,	,	PUNCT
ejpam-5507	624	152	0.1681	0.1681	NUM
ejpam-5507	624	153	,	,	PUNCT
ejpam-5507	624	154	0.4096	0.4096	NUM
ejpam-5507	624	155	,	,	PUNCT
ejpam-5507	624	156	5.5809	5.5809	NUM
ejpam-5507	624	157	,	,	PUNCT
ejpam-5507	624	158	2.4337	2.4337	NUM
ejpam-5507	624	159	,	,	PUNCT
ejpam-5507	624	160	4.4971	4.4971	NUM
ejpam-5507	624	161	,	,	PUNCT
ejpam-5507	624	162	0.6026	0.6026	NUM
ejpam-5507	624	163	,	,	PUNCT
ejpam-5507	624	164	1.0437	1.0437	NUM
ejpam-5507	624	165	,	,	PUNCT
ejpam-5507	624	166	1.8544	1.8544	NUM
ejpam-5507	624	167	,	,	PUNCT
ejpam-5507	624	168	1.8446	1.8446	NUM
ejpam-5507	624	169	,	,	PUNCT
ejpam-5507	624	170	5.0475	5.0475	NUM
ejpam-5507	624	171	,	,	PUNCT
ejpam-5507	624	172	3.2273	3.2273	NUM
ejpam-5507	624	173	,	,	PUNCT
ejpam-5507	624	174	3.4733	3.4733	NUM
ejpam-5507	624	175	,	,	PUNCT
ejpam-5507	624	176	0.7832	0.7832	NUM
ejpam-5507	624	177	,	,	PUNCT
ejpam-5507	624	178	3.8267	3.8267	NUM
ejpam-5507	624	179	,	,	PUNCT
ejpam-5507	624	180	0.8320	0.8320	NUM
ejpam-5507	624	181	,	,	PUNCT
ejpam-5507	624	182	2.2054	2.2054	NUM
ejpam-5507	624	183	,	,	PUNCT
ejpam-5507	624	184	0.2898	0.2898	NUM
ejpam-5507	624	185	,	,	PUNCT
ejpam-5507	624	186	0.3002	0.3002	NUM
ejpam-5507	624	187	,	,	PUNCT
ejpam-5507	624	188	3.5122	3.5122	NUM
ejpam-5507	624	189	,	,	PUNCT
ejpam-5507	624	190	7.4109	7.4109	NUM
ejpam-5507	624	191	,	,	PUNCT
ejpam-5507	624	192	0.3113	0.3113	NUM
ejpam-5507	624	193	,	,	PUNCT
ejpam-5507	624	194	0.5822	0.5822	NUM
ejpam-5507	624	195	,	,	PUNCT
ejpam-5507	624	196	2.3685	2.3685	NUM
ejpam-5507	624	197	,	,	PUNCT
ejpam-5507	624	198	1.3011	1.3011	NUM
ejpam-5507	624	199	,	,	PUNCT
ejpam-5507	624	200	0.3124	0.3124	NUM
ejpam-5507	624	201	,	,	PUNCT
ejpam-5507	624	202	0.0667	0.0667	NUM
ejpam-5507	624	203	,	,	PUNCT
ejpam-5507	624	204	0.8876	0.8876	NUM
ejpam-5507	624	205	,	,	PUNCT
ejpam-5507	624	206	9.7355	9.7355	NUM
ejpam-5507	624	207	,	,	PUNCT
ejpam-5507	624	208	2.6884	2.6884	NUM
ejpam-5507	624	209	,	,	PUNCT
ejpam-5507	624	210	6.5460	6.5460	NUM
ejpam-5507	624	211	,	,	PUNCT
ejpam-5507	624	212	0.1339	0.1339	NUM
ejpam-5507	624	213	,	,	PUNCT
ejpam-5507	624	214	0.1053	0.1053	NUM
ejpam-5507	624	215	,	,	PUNCT
ejpam-5507	624	216	2.4968	2.4968	NUM
ejpam-5507	624	217	,	,	PUNCT
ejpam-5507	624	218	1.2717	1.2717	NUM
ejpam-5507	624	219	,	,	PUNCT
ejpam-5507	624	220	0.1901	0.1901	NUM
ejpam-5507	624	221	,	,	PUNCT
ejpam-5507	624	222	3.3025	3.3025	NUM
ejpam-5507	624	223	,	,	PUNCT
ejpam-5507	624	224	0.5006	0.5006	NUM
ejpam-5507	624	225	,	,	PUNCT
ejpam-5507	624	226	0.3520	0.3520	NUM
ejpam-5507	624	227	,	,	PUNCT
ejpam-5507	624	228	1.9468	1.9468	NUM
ejpam-5507	624	229	,	,	PUNCT
ejpam-5507	624	230	1.6623	1.6623	NUM
ejpam-5507	624	231	,	,	PUNCT
ejpam-5507	624	232	0.3789	0.3789	NUM
ejpam-5507	624	233	,	,	PUNCT
ejpam-5507	624	234	0.5311	0.5311	NUM
ejpam-5507	624	235	,	,	PUNCT
ejpam-5507	624	236	1.0618	1.0618	NUM
ejpam-5507	624	237	,	,	PUNCT
ejpam-5507	624	238	1.5961	1.5961	NUM
ejpam-5507	624	239	,	,	PUNCT
ejpam-5507	624	240	0.7149	0.7149	NUM
ejpam-5507	624	241	,	,	PUNCT
ejpam-5507	624	242	0.1098	0.1098	NUM
ejpam-5507	624	243	,	,	PUNCT
ejpam-5507	624	244	0.5282	0.5282	NUM
ejpam-5507	624	245	,	,	PUNCT
ejpam-5507	624	246	0.9582	0.9582	NUM
ejpam-5507	624	247	,	,	PUNCT
ejpam-5507	624	248	1.8652	1.8652	NUM
ejpam-5507	624	249	,	,	PUNCT
ejpam-5507	624	250	0.2334	0.2334	NUM
ejpam-5507	624	251	,	,	PUNCT
ejpam-5507	624	252	4.6711	4.6711	NUM
ejpam-5507	624	253	,	,	PUNCT
ejpam-5507	624	254	3.3679	3.3679	NUM
ejpam-5507	624	255	,	,	PUNCT
ejpam-5507	624	256	0.5145	0.5145	NUM
ejpam-5507	624	257	,	,	PUNCT
ejpam-5507	624	258	0.0898	0.0898	NUM
ejpam-5507	624	259	,	,	PUNCT
ejpam-5507	624	260	0.5326	0.5326	NUM
ejpam-5507	624	261	,	,	PUNCT
ejpam-5507	624	262	6.7340	6.7340	NUM
ejpam-5507	624	263	,	,	PUNCT
ejpam-5507	624	264	3.8129	3.8129	NUM
ejpam-5507	624	265	,	,	PUNCT
ejpam-5507	624	266	0.5155	0.5155	NUM
ejpam-5507	624	267	,	,	PUNCT
ejpam-5507	624	268	1.3466	1.3466	NUM
ejpam-5507	624	269	,	,	PUNCT
ejpam-5507	624	270	0.5410	0.5410	NUM
ejpam-5507	624	271	,	,	PUNCT
ejpam-5507	624	272	1.8494	1.8494	NUM
ejpam-5507	624	273	,	,	PUNCT
ejpam-5507	624	274	0.3398	0.3398	NUM
ejpam-5507	624	275	,	,	PUNCT
ejpam-5507	624	276	0.8424	0.8424	NUM
ejpam-5507	624	277	,	,	PUNCT
ejpam-5507	624	278	1.1635	1.1635	NUM
ejpam-5507	624	279	,	,	PUNCT
ejpam-5507	624	280	0.8729	0.8729	NUM
ejpam-5507	624	281	,	,	PUNCT
ejpam-5507	624	282	2.4983	2.4983	NUM
ejpam-5507	624	283	,	,	PUNCT
ejpam-5507	624	284	2.6521	2.6521	NUM
ejpam-5507	624	285	,	,	PUNCT
ejpam-5507	624	286	11.8088	11.8088	NUM
ejpam-5507	624	287	,	,	PUNCT
ejpam-5507	624	288	2.1060	2.1060	NUM
ejpam-5507	624	289	,	,	PUNCT
ejpam-5507	624	290	2.3843	2.3843	NUM
ejpam-5507	624	291	,	,	PUNCT
ejpam-5507	624	292	0.1744	0.1744	NUM
ejpam-5507	624	293	,	,	PUNCT
ejpam-5507	624	294	2.3792	2.3792	NUM
ejpam-5507	624	295	,	,	PUNCT
ejpam-5507	624	296	1.1441	1.1441	NUM
ejpam-5507	624	297	,	,	PUNCT
ejpam-5507	624	298	1.0358	1.0358	NUM
ejpam-5507	624	299	,	,	PUNCT
ejpam-5507	624	300	0.5804	0.5804	NUM
ejpam-5507	624	301	,	,	PUNCT
ejpam-5507	624	302	0.2894	0.2894	NUM
ejpam-5507	624	303	,	,	PUNCT
ejpam-5507	624	304	5.1329	5.1329	NUM
ejpam-5507	624	305	,	,	PUNCT
ejpam-5507	624	306	0.2297	0.2297	NUM
ejpam-5507	624	307	,	,	PUNCT
ejpam-5507	624	308	1.2877	1.2877	NUM
ejpam-5507	624	309	,	,	PUNCT
ejpam-5507	624	310	2.5334	2.5334	NUM
ejpam-5507	624	311	,	,	PUNCT
ejpam-5507	624	312	0.1216	0.1216	NUM
ejpam-5507	624	313	,	,	PUNCT
ejpam-5507	624	314	7.8427	7.8427	NUM
ejpam-5507	624	315	,	,	PUNCT
ejpam-5507	624	316	2.8546	2.8546	NUM
ejpam-5507	624	317	,	,	PUNCT
ejpam-5507	624	318	2.9161	2.9161	NUM
ejpam-5507	624	319	,	,	PUNCT
ejpam-5507	624	320	0.1850	0.1850	NUM
ejpam-5507	624	321	,	,	PUNCT
ejpam-5507	624	322	1.1948	1.1948	NUM
ejpam-5507	624	323	,	,	PUNCT
ejpam-5507	624	324	0.1115	0.1115	NUM
ejpam-5507	624	325	,	,	PUNCT
ejpam-5507	624	326	3.3307	3.3307	NUM
ejpam-5507	624	327	,	,	PUNCT
ejpam-5507	624	328	1.1118	1.1118	NUM
ejpam-5507	624	329	,	,	PUNCT
ejpam-5507	624	330	0.4015	0.4015	NUM
ejpam-5507	624	331	,	,	PUNCT
ejpam-5507	624	332	1.3413	1.3413	NUM
ejpam-5507	624	333	,	,	PUNCT
ejpam-5507	624	334	4.7378	4.7378	NUM
ejpam-5507	624	335	,	,	PUNCT
ejpam-5507	624	336	5.7636	5.7636	NUM
ejpam-5507	624	337	,	,	PUNCT
ejpam-5507	624	338	0.2432	0.2432	NUM
ejpam-5507	624	339	,	,	PUNCT
ejpam-5507	624	340	0.3164	0.3164	NUM
ejpam-5507	624	341	,	,	PUNCT
ejpam-5507	624	342	0.2557	0.2557	NUM
ejpam-5507	624	343	,	,	PUNCT
ejpam-5507	624	344	1.4971	1.4971	NUM
ejpam-5507	624	345	,	,	PUNCT
ejpam-5507	624	346	1.2557	1.2557	NUM
ejpam-5507	624	347	,	,	PUNCT
ejpam-5507	624	348	0.8045	0.8045	NUM
ejpam-5507	624	349	,	,	PUNCT
ejpam-5507	624	350	0.1407	0.1407	NUM
ejpam-5507	624	351	,	,	PUNCT
ejpam-5507	624	352	0.5447	0.5447	NUM
ejpam-5507	624	353	,	,	PUNCT
ejpam-5507	624	354	2.9396	2.9396	NUM
ejpam-5507	624	355	,	,	PUNCT
ejpam-5507	624	356	1.0192	1.0192	NUM
ejpam-5507	624	357	,	,	PUNCT
ejpam-5507	624	358	2.3500	2.3500	NUM
ejpam-5507	624	359	,	,	PUNCT
ejpam-5507	624	360	1.4890	1.4890	NUM
ejpam-5507	624	361	,	,	PUNCT
ejpam-5507	624	362	0.5752	0.5752	NUM
ejpam-5507	624	363	,	,	PUNCT
ejpam-5507	624	364	0.1654	0.1654	NUM
ejpam-5507	624	365	,	,	PUNCT
ejpam-5507	624	366	0.7593	0.7593	NUM
ejpam-5507	624	367	,	,	PUNCT
ejpam-5507	624	368	6.8121	6.8121	NUM
ejpam-5507	624	369	,	,	PUNCT
ejpam-5507	624	370	3.8680	3.8680	NUM
ejpam-5507	624	371	,	,	PUNCT
ejpam-5507	624	372	5.4104	5.4104	NUM
ejpam-5507	624	373	,	,	PUNCT
ejpam-5507	624	374	1.9502	1.9502	NUM
ejpam-5507	624	375	,	,	PUNCT
ejpam-5507	624	376	0.6135	0.6135	NUM
ejpam-5507	624	377	,	,	PUNCT
ejpam-5507	624	378	0.2928	0.2928	NUM
ejpam-5507	624	379	,	,	PUNCT
ejpam-5507	624	380	1.2570	1.2570	NUM
ejpam-5507	624	381	,	,	PUNCT
ejpam-5507	624	382	0.5589	0.5589	NUM
ejpam-5507	624	383	,	,	PUNCT
ejpam-5507	624	384	0.1480	0.1480	NUM
ejpam-5507	624	385	,	,	PUNCT
ejpam-5507	624	386	0.3522	0.3522	NUM
ejpam-5507	624	387	,	,	PUNCT
ejpam-5507	624	388	0.1677	0.1677	NUM
ejpam-5507	624	389	.	.	PUNCT
ejpam-5507	625	1	x2	x2	PROPN
ejpam-5507	625	2	0.1824	0.1824	NUM
ejpam-5507	625	3	,	,	PUNCT
ejpam-5507	625	4	1.1886	1.1886	NUM
ejpam-5507	625	5	,	,	PUNCT
ejpam-5507	625	6	1.3802	1.3802	NUM
ejpam-5507	625	7	,	,	PUNCT
ejpam-5507	625	8	4.7574	4.7574	NUM
ejpam-5507	625	9	,	,	PUNCT
ejpam-5507	625	10	0.5790	0.5790	NUM
ejpam-5507	625	11	,	,	PUNCT
ejpam-5507	625	12	2.0764	2.0764	NUM
ejpam-5507	625	13	,	,	PUNCT
ejpam-5507	625	14	1.8461	1.8461	NUM
ejpam-5507	625	15	,	,	PUNCT
ejpam-5507	625	16	0.9144	0.9144	NUM
ejpam-5507	625	17	,	,	PUNCT
ejpam-5507	625	18	4.3560	4.3560	NUM
ejpam-5507	625	19	,	,	PUNCT
ejpam-5507	625	20	4.5415	4.5415	NUM
ejpam-5507	625	21	,	,	PUNCT
ejpam-5507	625	22	1.5600	1.5600	NUM
ejpam-5507	625	23	,	,	PUNCT
ejpam-5507	625	24	2.6681	2.6681	NUM
ejpam-5507	625	25	,	,	PUNCT
ejpam-5507	625	26	4.1580	4.1580	NUM
ejpam-5507	625	27	,	,	PUNCT
ejpam-5507	625	28	0.3677	0.3677	NUM
ejpam-5507	625	29	,	,	PUNCT
ejpam-5507	625	30	1.5843	1.5843	NUM
ejpam-5507	625	31	,	,	PUNCT
ejpam-5507	625	32	1.6323	1.6323	NUM
ejpam-5507	625	33	,	,	PUNCT
ejpam-5507	625	34	4.2156	4.2156	NUM
ejpam-5507	625	35	,	,	PUNCT
ejpam-5507	625	36	0.7166	0.7166	NUM
ejpam-5507	625	37	,	,	PUNCT
ejpam-5507	625	38	0.2061	0.2061	NUM
ejpam-5507	625	39	,	,	PUNCT
ejpam-5507	625	40	0.8065	0.8065	NUM
ejpam-5507	625	41	,	,	PUNCT
ejpam-5507	625	42	0.6714	0.6714	NUM
ejpam-5507	625	43	,	,	PUNCT
ejpam-5507	625	44	1.1716	1.1716	NUM
ejpam-5507	625	45	,	,	PUNCT
ejpam-5507	625	46	1.5534	1.5534	NUM
ejpam-5507	625	47	,	,	PUNCT
ejpam-5507	625	48	1.3755	1.3755	NUM
ejpam-5507	625	49	,	,	PUNCT
ejpam-5507	625	50	7.6427	7.6427	NUM
ejpam-5507	625	51	,	,	PUNCT
ejpam-5507	625	52	1.8740	1.8740	NUM
ejpam-5507	625	53	,	,	PUNCT
ejpam-5507	625	54	0.1650	0.1650	NUM
ejpam-5507	625	55	,	,	PUNCT
ejpam-5507	625	56	0.0702	0.0702	NUM
ejpam-5507	625	57	,	,	PUNCT
ejpam-5507	625	58	0.5983	0.5983	NUM
ejpam-5507	625	59	,	,	PUNCT
ejpam-5507	625	60	0.3413	0.3413	NUM
ejpam-5507	625	61	,	,	PUNCT
ejpam-5507	625	62	0.3315	0.3315	NUM
ejpam-5507	625	63	,	,	PUNCT
ejpam-5507	625	64	4.3433	4.3433	NUM
ejpam-5507	625	65	,	,	PUNCT
ejpam-5507	625	66	0.0663	0.0663	NUM
ejpam-5507	625	67	,	,	PUNCT
ejpam-5507	625	68	0.1750	0.1750	NUM
ejpam-5507	625	69	,	,	PUNCT
ejpam-5507	625	70	2.1910	2.1910	NUM
ejpam-5507	625	71	,	,	PUNCT
ejpam-5507	625	72	1.5270	1.5270	NUM
ejpam-5507	625	73	,	,	PUNCT
ejpam-5507	625	74	1.2938	1.2938	NUM
ejpam-5507	625	75	,	,	PUNCT
ejpam-5507	625	76	0.1399	0.1399	NUM
ejpam-5507	625	77	,	,	PUNCT
ejpam-5507	625	78	0.5694	0.5694	NUM
ejpam-5507	625	79	,	,	PUNCT
ejpam-5507	625	80	0.0796	0.0796	NUM
ejpam-5507	625	81	,	,	PUNCT
ejpam-5507	625	82	1.4636	1.4636	NUM
ejpam-5507	625	83	,	,	PUNCT
ejpam-5507	625	84	2.2162	2.2162	NUM
ejpam-5507	625	85	,	,	PUNCT
ejpam-5507	625	86	0.7524	0.7524	NUM
ejpam-5507	625	87	,	,	PUNCT
ejpam-5507	625	88	3.1568	3.1568	NUM
ejpam-5507	625	89	,	,	PUNCT
ejpam-5507	625	90	3.0588	3.0588	NUM
ejpam-5507	625	91	,	,	PUNCT
ejpam-5507	625	92	0.3481	0.3481	NUM
ejpam-5507	625	93	,	,	PUNCT
ejpam-5507	625	94	4.7918	4.7918	NUM
ejpam-5507	625	95	,	,	PUNCT
ejpam-5507	625	96	0.3392	0.3392	NUM
ejpam-5507	625	97	,	,	PUNCT
ejpam-5507	625	98	0.8344	0.8344	NUM
ejpam-5507	625	99	,	,	PUNCT
ejpam-5507	625	100	1.3921	1.3921	NUM
ejpam-5507	625	101	,	,	PUNCT
ejpam-5507	625	102	1.0347	1.0347	NUM
ejpam-5507	625	103	,	,	PUNCT
ejpam-5507	625	104	1.0355	1.0355	NUM
ejpam-5507	625	105	,	,	PUNCT
ejpam-5507	625	106	0.6868	0.6868	NUM
ejpam-5507	625	107	,	,	PUNCT
ejpam-5507	625	108	1.9513	1.9513	NUM
ejpam-5507	625	109	,	,	PUNCT
ejpam-5507	625	110	0.1750	0.1750	NUM
ejpam-5507	625	111	,	,	PUNCT
ejpam-5507	625	112	2.8993	2.8993	NUM
ejpam-5507	625	113	,	,	PUNCT
ejpam-5507	625	114	0.7620	0.7620	NUM
ejpam-5507	625	115	,	,	PUNCT
ejpam-5507	625	116	0.1719	0.1719	NUM
ejpam-5507	625	117	,	,	PUNCT
ejpam-5507	625	118	0.8324	0.8324	NUM
ejpam-5507	625	119	,	,	PUNCT
ejpam-5507	625	120	4.1002	4.1002	NUM
ejpam-5507	625	121	,	,	PUNCT
ejpam-5507	625	122	3.9254	3.9254	NUM
ejpam-5507	625	123	,	,	PUNCT
ejpam-5507	625	124	1.6431	1.6431	NUM
ejpam-5507	625	125	,	,	PUNCT
ejpam-5507	625	126	0.1516	0.1516	NUM
ejpam-5507	625	127	,	,	PUNCT
ejpam-5507	625	128	0.9186	0.9186	NUM
ejpam-5507	625	129	,	,	PUNCT
ejpam-5507	625	130	4.6136	4.6136	NUM
ejpam-5507	625	131	,	,	PUNCT
ejpam-5507	625	132	0.4096	0.4096	NUM
ejpam-5507	625	133	,	,	PUNCT
ejpam-5507	625	134	2.4648	2.4648	NUM
ejpam-5507	625	135	,	,	PUNCT
ejpam-5507	625	136	1.2864	1.2864	NUM
ejpam-5507	625	137	,	,	PUNCT
ejpam-5507	625	138	0.7278	0.7278	NUM
ejpam-5507	625	139	,	,	PUNCT
ejpam-5507	625	140	0.2067	0.2067	NUM
ejpam-5507	625	141	,	,	PUNCT
ejpam-5507	625	142	0.1552	0.1552	NUM
ejpam-5507	625	143	,	,	PUNCT
ejpam-5507	625	144	0.7447	0.7447	NUM
ejpam-5507	625	145	,	,	PUNCT
ejpam-5507	625	146	0.1665	0.1665	NUM
ejpam-5507	625	147	,	,	PUNCT
ejpam-5507	625	148	0.4215	0.4215	NUM
ejpam-5507	625	149	,	,	PUNCT
ejpam-5507	625	150	5.8420	5.8420	NUM
ejpam-5507	625	151	,	,	PUNCT
ejpam-5507	625	152	2.5393	2.5393	NUM
ejpam-5507	625	153	,	,	PUNCT
ejpam-5507	625	154	4.5810	4.5810	NUM
ejpam-5507	625	155	,	,	PUNCT
ejpam-5507	625	156	0.6353	0.6353	NUM
ejpam-5507	625	157	,	,	PUNCT
ejpam-5507	625	158	1.0846	1.0846	NUM
ejpam-5507	625	159	,	,	PUNCT
ejpam-5507	625	160	1.9130	1.9130	NUM
ejpam-5507	625	161	,	,	PUNCT
ejpam-5507	625	162	1.7789	1.7789	NUM
ejpam-5507	625	163	,	,	PUNCT
ejpam-5507	625	164	5.3754	5.3754	NUM
ejpam-5507	625	165	,	,	PUNCT
ejpam-5507	625	166	3.2711	3.2711	NUM
ejpam-5507	625	167	,	,	PUNCT
ejpam-5507	625	168	3.5299	3.5299	NUM
ejpam-5507	625	169	,	,	PUNCT
ejpam-5507	625	170	0.7846	0.7846	NUM
ejpam-5507	625	171	,	,	PUNCT
ejpam-5507	625	172	3.8986	3.8986	NUM
ejpam-5507	625	173	,	,	PUNCT
ejpam-5507	625	174	0.8288	0.8288	NUM
ejpam-5507	625	175	,	,	PUNCT
ejpam-5507	625	176	2.2626	2.2626	NUM
ejpam-5507	625	177	,	,	PUNCT
ejpam-5507	625	178	0.2961	0.2961	NUM
ejpam-5507	625	179	,	,	PUNCT
ejpam-5507	625	180	0.3042	0.3042	NUM
ejpam-5507	625	181	,	,	PUNCT
ejpam-5507	625	182	3.5945	3.5945	NUM
ejpam-5507	625	183	,	,	PUNCT
ejpam-5507	625	184	7.0524	7.0524	NUM
ejpam-5507	625	185	,	,	PUNCT
ejpam-5507	625	186	0.3255	0.3255	NUM
ejpam-5507	625	187	,	,	PUNCT
ejpam-5507	625	188	0.6070	0.6070	NUM
ejpam-5507	625	189	,	,	PUNCT
ejpam-5507	625	190	2.5002	2.5002	NUM
ejpam-5507	625	191	,	,	PUNCT
ejpam-5507	625	192	1.3378	1.3378	NUM
ejpam-5507	625	193	,	,	PUNCT
ejpam-5507	625	194	0.3255	0.3255	NUM
ejpam-5507	625	195	,	,	PUNCT
ejpam-5507	625	196	0.0667	0.0667	NUM
ejpam-5507	625	197	,	,	PUNCT
ejpam-5507	625	198	1.1100	1.1100	NUM
ejpam-5507	625	199	,	,	PUNCT
ejpam-5507	625	200	9.7336	9.7336	NUM
ejpam-5507	625	201	,	,	PUNCT
ejpam-5507	625	202	2.8314	2.8314	NUM
ejpam-5507	625	203	,	,	PUNCT
ejpam-5507	625	204	6.5016	6.5016	NUM
ejpam-5507	625	205	,	,	PUNCT
ejpam-5507	625	206	0.1358	0.1358	NUM
ejpam-5507	625	207	,	,	PUNCT
ejpam-5507	625	208	0.1064	0.1064	NUM
ejpam-5507	625	209	,	,	PUNCT
ejpam-5507	625	210	2.6107	2.6107	NUM
ejpam-5507	625	211	,	,	PUNCT
ejpam-5507	625	212	1.3567	1.3567	NUM
ejpam-5507	625	213	,	,	PUNCT
ejpam-5507	625	214	0.1953	0.1953	NUM
ejpam-5507	625	215	,	,	PUNCT
ejpam-5507	625	216	3.4396	3.4396	NUM
ejpam-5507	625	217	,	,	PUNCT
ejpam-5507	625	218	0.5125	0.5125	NUM
ejpam-5507	625	219	,	,	PUNCT
ejpam-5507	625	220	0.3592	0.3592	NUM
ejpam-5507	625	221	,	,	PUNCT
ejpam-5507	625	222	2.0189	2.0189	NUM
ejpam-5507	625	223	,	,	PUNCT
ejpam-5507	625	224	1.6944	1.6944	NUM
ejpam-5507	625	225	,	,	PUNCT
ejpam-5507	625	226	0.3843	0.3843	NUM
ejpam-5507	625	227	,	,	PUNCT
ejpam-5507	625	228	0.5554	0.5554	NUM
ejpam-5507	625	229	,	,	PUNCT
ejpam-5507	625	230	1.0103	1.0103	NUM
ejpam-5507	625	231	,	,	PUNCT
ejpam-5507	625	232	1.6779	1.6779	NUM
ejpam-5507	625	233	,	,	PUNCT
ejpam-5507	625	234	0.7340	0.7340	NUM
ejpam-5507	625	235	,	,	PUNCT
ejpam-5507	625	236	0.1093	0.1093	NUM
ejpam-5507	625	237	,	,	PUNCT
ejpam-5507	625	238	0.5567	0.5567	NUM
ejpam-5507	625	239	,	,	PUNCT
ejpam-5507	625	240	0.9387	0.9387	NUM
ejpam-5507	625	241	,	,	PUNCT
ejpam-5507	625	242	1.8573	1.8573	NUM
ejpam-5507	625	243	,	,	PUNCT
ejpam-5507	625	244	0.2471	0.2471	NUM
ejpam-5507	625	245	,	,	PUNCT
ejpam-5507	625	246	4.7900	4.7900	NUM
ejpam-5507	625	247	,	,	PUNCT
ejpam-5507	625	248	3.3970	3.3970	NUM
ejpam-5507	625	249	,	,	PUNCT
ejpam-5507	625	250	0.5157	0.5157	NUM
ejpam-5507	625	251	,	,	PUNCT
ejpam-5507	625	252	0.0906	0.0906	NUM
ejpam-5507	625	253	,	,	PUNCT
ejpam-5507	625	254	0.5231	0.5231	NUM
ejpam-5507	625	255	,	,	PUNCT
ejpam-5507	625	256	6.8012	6.8012	NUM
ejpam-5507	625	257	,	,	PUNCT
ejpam-5507	625	258	3.6290	3.6290	NUM
ejpam-5507	625	259	,	,	PUNCT
ejpam-5507	625	260	0.5311	0.5311	NUM
ejpam-5507	625	261	,	,	PUNCT
ejpam-5507	625	262	1.2831	1.2831	NUM
ejpam-5507	625	263	,	,	PUNCT
ejpam-5507	625	264	0.5055	0.5055	NUM
ejpam-5507	625	265	,	,	PUNCT
ejpam-5507	625	266	1.9178	1.9178	NUM
ejpam-5507	625	267	,	,	PUNCT
ejpam-5507	625	268	0.3403	0.3403	NUM
ejpam-5507	625	269	,	,	PUNCT
ejpam-5507	625	270	0.8380	0.8380	NUM
ejpam-5507	625	271	,	,	PUNCT
ejpam-5507	625	272	1.1789	1.1789	NUM
ejpam-5507	625	273	,	,	PUNCT
ejpam-5507	625	274	0.9154	0.9154	NUM
ejpam-5507	625	275	,	,	PUNCT
ejpam-5507	625	276	2.6150	2.6150	NUM
ejpam-5507	625	277	,	,	PUNCT
ejpam-5507	625	278	2.7315	2.7315	NUM
ejpam-5507	625	279	,	,	PUNCT
ejpam-5507	625	280	11.6818	11.6818	NUM
ejpam-5507	625	281	,	,	PUNCT
ejpam-5507	625	282	2.2646	2.2646	NUM
ejpam-5507	625	283	,	,	PUNCT
ejpam-5507	625	284	2.4233	2.4233	NUM
ejpam-5507	625	285	,	,	PUNCT
ejpam-5507	625	286	0.1811	0.1811	NUM
ejpam-5507	625	287	,	,	PUNCT
ejpam-5507	625	288	2.3978	2.3978	NUM
ejpam-5507	625	289	,	,	PUNCT
ejpam-5507	625	290	1.1695	1.1695	NUM
ejpam-5507	625	291	,	,	PUNCT
ejpam-5507	625	292	1.0499	1.0499	NUM
ejpam-5507	625	293	,	,	PUNCT
ejpam-5507	625	294	0.5909	0.5909	NUM
ejpam-5507	625	295	,	,	PUNCT
ejpam-5507	625	296	0.2941	0.2941	NUM
ejpam-5507	625	297	,	,	PUNCT
ejpam-5507	625	298	4.9680	4.9680	NUM
ejpam-5507	625	299	,	,	PUNCT
ejpam-5507	625	300	0.2384	0.2384	NUM
ejpam-5507	625	301	,	,	PUNCT
ejpam-5507	625	302	1.3019	1.3019	NUM
ejpam-5507	625	303	,	,	PUNCT
ejpam-5507	625	304	2.6077	2.6077	NUM
ejpam-5507	625	305	,	,	PUNCT
ejpam-5507	625	306	0.1240	0.1240	NUM
ejpam-5507	625	307	,	,	PUNCT
ejpam-5507	625	308	8.2503	8.2503	NUM
ejpam-5507	625	309	,	,	PUNCT
ejpam-5507	625	310	2.9467	2.9467	NUM
ejpam-5507	625	311	,	,	PUNCT
ejpam-5507	625	312	3.0594	3.0594	NUM
ejpam-5507	625	313	,	,	PUNCT
ejpam-5507	625	314	0.1872	0.1872	NUM
ejpam-5507	625	315	,	,	PUNCT
ejpam-5507	625	316	1.1923	1.1923	NUM
ejpam-5507	625	317	,	,	PUNCT
ejpam-5507	625	318	0.0963	0.0963	NUM
ejpam-5507	625	319	,	,	PUNCT
ejpam-5507	625	320	3.4258	3.4258	NUM
ejpam-5507	625	321	,	,	PUNCT
ejpam-5507	625	322	1.1326	1.1326	NUM
ejpam-5507	625	323	,	,	PUNCT
ejpam-5507	625	324	0.4119	0.4119	NUM
ejpam-5507	625	325	,	,	PUNCT
ejpam-5507	625	326	1.3306	1.3306	NUM
ejpam-5507	625	327	,	,	PUNCT
ejpam-5507	625	328	4.7766	4.7766	NUM
ejpam-5507	625	329	,	,	PUNCT
ejpam-5507	625	330	5.7625	5.7625	NUM
ejpam-5507	625	331	,	,	PUNCT
ejpam-5507	625	332	0.2337	0.2337	NUM
ejpam-5507	625	333	,	,	PUNCT
ejpam-5507	625	334	0.3317	0.3317	NUM
ejpam-5507	625	335	,	,	PUNCT
ejpam-5507	625	336	0.2655	0.2655	NUM
ejpam-5507	625	337	,	,	PUNCT
ejpam-5507	625	338	1.5516	1.5516	NUM
ejpam-5507	625	339	,	,	PUNCT
ejpam-5507	625	340	1.2505	1.2505	NUM
ejpam-5507	625	341	,	,	PUNCT
ejpam-5507	625	342	0.6846	0.6846	NUM
ejpam-5507	625	343	,	,	PUNCT
ejpam-5507	625	344	0.1453	0.1453	NUM
ejpam-5507	625	345	,	,	PUNCT
ejpam-5507	625	346	0.5547	0.5547	NUM
ejpam-5507	625	347	,	,	PUNCT
ejpam-5507	625	348	2.8622	2.8622	NUM
ejpam-5507	625	349	,	,	PUNCT
ejpam-5507	625	350	1.0275	1.0275	NUM
ejpam-5507	625	351	,	,	PUNCT
ejpam-5507	625	352	2.4804	2.4804	NUM
ejpam-5507	625	353	,	,	PUNCT
ejpam-5507	625	354	1.5594	1.5594	NUM
ejpam-5507	625	355	,	,	PUNCT
ejpam-5507	625	356	0.5888	0.5888	NUM
ejpam-5507	625	357	,	,	PUNCT
ejpam-5507	625	358	0.1658	0.1658	NUM
ejpam-5507	625	359	,	,	PUNCT
ejpam-5507	625	360	0.8130	0.8130	NUM
ejpam-5507	625	361	,	,	PUNCT
ejpam-5507	625	362	6.7805	6.7805	NUM
ejpam-5507	625	363	,	,	PUNCT
ejpam-5507	625	364	3.9116	3.9116	NUM
ejpam-5507	625	365	,	,	PUNCT
ejpam-5507	625	366	5.4941	5.4941	NUM
ejpam-5507	625	367	,	,	PUNCT
ejpam-5507	625	368	1.9930	1.9930	NUM
ejpam-5507	625	369	,	,	PUNCT
ejpam-5507	625	370	0.6470	0.6470	NUM
ejpam-5507	625	371	,	,	PUNCT
ejpam-5507	625	372	0.2995	0.2995	NUM
ejpam-5507	625	373	,	,	PUNCT
ejpam-5507	625	374	1.0672	1.0672	NUM
ejpam-5507	625	375	,	,	PUNCT
ejpam-5507	625	376	0.5859	0.5859	NUM
ejpam-5507	625	377	,	,	PUNCT
ejpam-5507	625	378	0.1239	0.1239	NUM
ejpam-5507	625	379	,	,	PUNCT
ejpam-5507	625	380	0.3557	0.3557	NUM
ejpam-5507	625	381	,	,	PUNCT
ejpam-5507	625	382	0.1683	0.1683	NUM
ejpam-5507	625	383	.	.	PUNCT
ejpam-5507	626	1	appendix	appendix	VERB
ejpam-5507	626	2	3972	3972	NUM
ejpam-5507	626	3	3breaking	3breaking	NUM
ejpam-5507	626	4	strength	strength	NOUN
ejpam-5507	626	5	of	of	ADP
ejpam-5507	626	6	fluid	fluid	ADJ
ejpam-5507	626	7	data	datum	NOUN
ejpam-5507	626	8	x1	x1	NOUN
ejpam-5507	626	9	0.66552	0.66552	NUM
ejpam-5507	626	10	,	,	PUNCT
ejpam-5507	626	11	1.32920	1.32920	NUM
ejpam-5507	626	12	,	,	PUNCT
ejpam-5507	626	13	1.99020	1.99020	NUM
ejpam-5507	626	14	,	,	PUNCT
ejpam-5507	626	15	2.64780	2.64780	NUM
ejpam-5507	626	16	,	,	PUNCT
ejpam-5507	626	17	3.30510	3.30510	NUM
ejpam-5507	626	18	,	,	PUNCT
ejpam-5507	626	19	3.96520	3.96520	NUM
ejpam-5507	626	20	,	,	PUNCT
ejpam-5507	626	21	4.61540	4.61540	NUM
ejpam-5507	626	22	,	,	PUNCT
ejpam-5507	626	23	5.26260	5.26260	NUM
ejpam-5507	626	24	,	,	PUNCT
ejpam-5507	626	25	5.91770	5.91770	NUM
ejpam-5507	626	26	,	,	PUNCT
ejpam-5507	626	27	6.55930	6.55930	NUM
ejpam-5507	626	28	,	,	PUNCT
ejpam-5507	626	29	7.20630	7.20630	NUM
ejpam-5507	626	30	,	,	PUNCT
ejpam-5507	626	31	7.85490	7.85490	NUM
ejpam-5507	626	32	,	,	PUNCT
ejpam-5507	626	33	8.48920	8.48920	NUM
ejpam-5507	626	34	,	,	PUNCT
ejpam-5507	626	35	9.12330	9.12330	NUM
ejpam-5507	626	36	,	,	PUNCT
ejpam-5507	626	37	9.75220	9.75220	NUM
ejpam-5507	626	38	,	,	PUNCT
ejpam-5507	626	39	10.39500	10.39500	NUM
ejpam-5507	626	40	,	,	PUNCT
ejpam-5507	626	41	11.01200	11.01200	NUM
ejpam-5507	626	42	,	,	PUNCT
ejpam-5507	626	43	11.65400	11.65400	NUM
ejpam-5507	626	44	,	,	PUNCT
ejpam-5507	626	45	12.27500	12.27500	NUM
ejpam-5507	626	46	,	,	PUNCT
ejpam-5507	626	47	12.90500	12.90500	NUM
ejpam-5507	626	48	,	,	PUNCT
ejpam-5507	626	49	13.51400	13.51400	NUM
ejpam-5507	626	50	,	,	PUNCT
ejpam-5507	626	51	14.14600	14.14600	NUM
ejpam-5507	626	52	,	,	PUNCT
ejpam-5507	626	53	14.77300	14.77300	NUM
ejpam-5507	626	54	,	,	PUNCT
ejpam-5507	626	55	15.39700	15.39700	NUM
ejpam-5507	626	56	,	,	PUNCT
ejpam-5507	626	57	16.00400	16.00400	NUM
ejpam-5507	626	58	,	,	PUNCT
ejpam-5507	626	59	16.62100	16.62100	NUM
ejpam-5507	626	60	,	,	PUNCT
ejpam-5507	626	61	17.23300	17.23300	NUM
ejpam-5507	626	62	,	,	PUNCT
ejpam-5507	626	63	17.84900	17.84900	NUM
ejpam-5507	626	64	,	,	PUNCT
ejpam-5507	626	65	18.46800	18.46800	NUM
ejpam-5507	626	66	,	,	PUNCT
ejpam-5507	626	67	19.04800	19.04800	NUM
ejpam-5507	626	68	,	,	PUNCT
ejpam-5507	626	69	19.68000	19.68000	NUM
ejpam-5507	626	70	,	,	PUNCT
ejpam-5507	626	71	20.24500	20.24500	NUM
ejpam-5507	626	72	,	,	PUNCT
ejpam-5507	626	73	20.84200	20.84200	NUM
ejpam-5507	626	74	,	,	PUNCT
ejpam-5507	626	75	21.45700	21.45700	NUM
ejpam-5507	626	76	,	,	PUNCT
ejpam-5507	626	77	22.04300	22.04300	NUM
ejpam-5507	626	78	,	,	PUNCT
ejpam-5507	626	79	22.65200	22.65200	NUM
ejpam-5507	626	80	,	,	PUNCT
ejpam-5507	626	81	23.21200	23.21200	NUM
ejpam-5507	626	82	,	,	PUNCT
ejpam-5507	626	83	23.82100	23.82100	NUM
ejpam-5507	626	84	,	,	PUNCT
ejpam-5507	626	85	24.43700	24.43700	NUM
ejpam-5507	626	86	,	,	PUNCT
ejpam-5507	626	87	25.02500	25.02500	NUM
ejpam-5507	626	88	,	,	PUNCT
ejpam-5507	626	89	25.58700	25.58700	NUM
ejpam-5507	626	90	,	,	PUNCT
ejpam-5507	626	91	26.19300	26.19300	NUM
ejpam-5507	626	92	,	,	PUNCT
ejpam-5507	626	93	26.74800	26.74800	NUM
ejpam-5507	626	94	,	,	PUNCT
ejpam-5507	626	95	27.31500	27.31500	NUM
ejpam-5507	626	96	,	,	PUNCT
ejpam-5507	626	97	27.88500	27.88500	NUM
ejpam-5507	626	98	,	,	PUNCT
ejpam-5507	626	99	28.51000	28.51000	NUM
ejpam-5507	626	100	,	,	PUNCT
ejpam-5507	626	101	29.07300	29.07300	NUM
ejpam-5507	626	102	,	,	PUNCT
ejpam-5507	626	103	29.61700	29.61700	NUM
ejpam-5507	626	104	,	,	PUNCT
ejpam-5507	626	105	30.21500	30.21500	NUM
ejpam-5507	626	106	,	,	PUNCT
ejpam-5507	626	107	30.74700	30.74700	NUM
ejpam-5507	626	108	,	,	PUNCT
ejpam-5507	626	109	31.33800	31.33800	NUM
ejpam-5507	626	110	,	,	PUNCT
ejpam-5507	626	111	33.04800	33.04800	NUM
ejpam-5507	626	112	,	,	PUNCT
ejpam-5507	626	113	34.72200	34.72200	NUM
ejpam-5507	626	114	,	,	PUNCT
ejpam-5507	626	115	36.38200	36.38200	NUM
ejpam-5507	626	116	,	,	PUNCT
ejpam-5507	626	117	38.03300	38.03300	NUM
ejpam-5507	626	118	,	,	PUNCT
ejpam-5507	626	119	39.60300	39.60300	NUM
ejpam-5507	626	120	,	,	PUNCT
ejpam-5507	626	121	41.23000	41.23000	NUM
ejpam-5507	626	122	,	,	PUNCT
ejpam-5507	626	123	42.84500	42.84500	NUM
ejpam-5507	626	124	,	,	PUNCT
ejpam-5507	626	125	44.44800	44.44800	NUM
ejpam-5507	626	126	,	,	PUNCT
ejpam-5507	626	127	45.98700	45.98700	NUM
ejpam-5507	626	128	,	,	PUNCT
ejpam-5507	626	129	47.54100	47.54100	NUM
ejpam-5507	626	130	,	,	PUNCT
ejpam-5507	626	131	49.14000	49.14000	NUM
ejpam-5507	626	132	,	,	PUNCT
ejpam-5507	626	133	50.65300	50.65300	NUM
ejpam-5507	626	134	,	,	PUNCT
ejpam-5507	626	135	52.27000	52.27000	NUM
ejpam-5507	626	136	,	,	PUNCT
ejpam-5507	626	137	53.63200	53.63200	NUM
ejpam-5507	626	138	,	,	PUNCT
ejpam-5507	626	139	55.23800	55.23800	NUM
ejpam-5507	626	140	,	,	PUNCT
ejpam-5507	626	141	56.51000	56.51000	NUM
ejpam-5507	626	142	,	,	PUNCT
ejpam-5507	626	143	58.14300	58.14300	NUM
ejpam-5507	626	144	,	,	PUNCT
ejpam-5507	626	145	59.55000	59.55000	NUM
ejpam-5507	626	146	,	,	PUNCT
ejpam-5507	626	147	60.92400	60.92400	NUM
ejpam-5507	626	148	.	.	PUNCT
ejpam-5507	627	1	x2	x2	PROPN
ejpam-5507	627	2	1.433193	1.433193	NUM
ejpam-5507	627	3	,	,	PUNCT
ejpam-5507	627	4	1.921320	1.921320	NUM
ejpam-5507	627	5	,	,	PUNCT
ejpam-5507	627	6	2.669056	2.669056	NUM
ejpam-5507	627	7	,	,	PUNCT
ejpam-5507	627	8	3.279862	3.279862	NUM
ejpam-5507	627	9	,	,	PUNCT
ejpam-5507	627	10	3.703085	3.703085	NUM
ejpam-5507	627	11	,	,	PUNCT
ejpam-5507	627	12	4.175902	4.175902	NUM
ejpam-5507	627	13	,	,	PUNCT
ejpam-5507	627	14	5.180407	5.180407	NUM
ejpam-5507	627	15	,	,	PUNCT
ejpam-5507	627	16	5.311075	5.311075	NUM
ejpam-5507	627	17	,	,	PUNCT
ejpam-5507	627	18	5.480077	5.480077	NUM
ejpam-5507	627	19	,	,	PUNCT
ejpam-5507	627	20	5.944436	5.944436	NUM
ejpam-5507	627	21	,	,	PUNCT
ejpam-5507	627	22	6.644375	6.644375	NUM
ejpam-5507	627	23	,	,	PUNCT
ejpam-5507	627	24	6.870545	6.870545	NUM
ejpam-5507	627	25	,	,	PUNCT
ejpam-5507	627	26	7.567605	7.567605	NUM
ejpam-5507	627	27	,	,	PUNCT
ejpam-5507	627	28	7.363139	7.363139	NUM
ejpam-5507	627	29	,	,	PUNCT
ejpam-5507	627	30	7.708288	7.708288	NUM
ejpam-5507	627	31	,	,	PUNCT
ejpam-5507	627	32	7.861320	7.861320	NUM
ejpam-5507	627	33	,	,	PUNCT
ejpam-5507	627	34	8.041136	8.041136	NUM
ejpam-5507	627	35	,	,	PUNCT
ejpam-5507	627	36	8.567537	8.567537	NUM
ejpam-5507	627	37	,	,	PUNCT
ejpam-5507	627	38	8.816040	8.816040	NUM
ejpam-5507	627	39	,	,	PUNCT
ejpam-5507	627	40	8.680506	8.680506	NUM
ejpam-5507	627	41	,	,	PUNCT
ejpam-5507	627	42	9.233999	9.233999	NUM
ejpam-5507	627	43	,	,	PUNCT
ejpam-5507	627	44	9.491558	9.491558	NUM
ejpam-5507	627	45	,	,	PUNCT
ejpam-5507	627	46	9.536301	9.536301	NUM
ejpam-5507	627	47	,	,	PUNCT
ejpam-5507	627	48	9.699463	9.699463	NUM
ejpam-5507	627	49	,	,	PUNCT
ejpam-5507	627	50	9.991789	9.991789	NUM
ejpam-5507	627	51	,	,	PUNCT
ejpam-5507	627	52	10.379586	10.379586	NUM
ejpam-5507	627	53	,	,	PUNCT
ejpam-5507	627	54	10.684267	10.684267	NUM
ejpam-5507	627	55	,	,	PUNCT
ejpam-5507	627	56	11.283192	11.283192	NUM
ejpam-5507	627	57	,	,	PUNCT
ejpam-5507	627	58	11.077667	11.077667	NUM
ejpam-5507	627	59	,	,	PUNCT
ejpam-5507	627	60	11.295088	11.295088	NUM
ejpam-5507	627	61	,	,	PUNCT
ejpam-5507	627	62	11.256025	11.256025	NUM
ejpam-5507	627	63	,	,	PUNCT
ejpam-5507	627	64	12.181274	12.181274	NUM
ejpam-5507	627	65	,	,	PUNCT
ejpam-5507	627	66	12.205218	12.205218	NUM
ejpam-5507	627	67	,	,	PUNCT
ejpam-5507	627	68	11.998618	11.998618	NUM
ejpam-5507	627	69	,	,	PUNCT
ejpam-5507	627	70	12.517958	12.517958	NUM
ejpam-5507	627	71	,	,	PUNCT
ejpam-5507	627	72	12.407828	12.407828	NUM
ejpam-5507	627	73	,	,	PUNCT
ejpam-5507	627	74	13.409593	13.409593	NUM
ejpam-5507	627	75	,	,	PUNCT
ejpam-5507	627	76	14.055641	14.055641	NUM
ejpam-5507	627	77	,	,	PUNCT
ejpam-5507	627	78	13.446431	13.446431	NUM
ejpam-5507	627	79	,	,	PUNCT
ejpam-5507	627	80	14.335534	14.335534	NUM
ejpam-5507	627	81	,	,	PUNCT
ejpam-5507	627	82	14.528933	14.528933	NUM
ejpam-5507	627	83	,	,	PUNCT
ejpam-5507	627	84	15.351420	15.351420	NUM
ejpam-5507	627	85	,	,	PUNCT
ejpam-5507	627	86	15.256486	15.256486	NUM
ejpam-5507	627	87	,	,	PUNCT
ejpam-5507	627	88	15.450883	15.450883	NUM
ejpam-5507	627	89	,	,	PUNCT
ejpam-5507	627	90	15.000152	15.000152	NUM
ejpam-5507	627	91	,	,	PUNCT
ejpam-5507	627	92	16.024559	16.024559	NUM
ejpam-5507	627	93	,	,	PUNCT
ejpam-5507	627	94	16.133539	16.133539	NUM
ejpam-5507	627	95	,	,	PUNCT
ejpam-5507	627	96	16.790022	16.790022	NUM
ejpam-5507	627	97	,	,	PUNCT
ejpam-5507	627	98	17.621796	17.621796	NUM
ejpam-5507	627	99	,	,	PUNCT
ejpam-5507	627	100	17.252878	17.252878	NUM
ejpam-5507	627	101	,	,	PUNCT
ejpam-5507	627	102	17.397621	17.397621	NUM
ejpam-5507	627	103	,	,	PUNCT
ejpam-5507	627	104	18.850729	18.850729	NUM
ejpam-5507	627	105	,	,	PUNCT
ejpam-5507	627	106	18.921950	18.921950	NUM
ejpam-5507	627	107	,	,	PUNCT
ejpam-5507	627	108	20.292019	20.292019	NUM
ejpam-5507	627	109	,	,	PUNCT
ejpam-5507	627	110	21.790637	21.790637	NUM
ejpam-5507	627	111	,	,	PUNCT
ejpam-5507	627	112	22.214351	22.214351	NUM
ejpam-5507	627	113	,	,	PUNCT
ejpam-5507	627	114	23.902455	23.902455	NUM
ejpam-5507	627	115	,	,	PUNCT
ejpam-5507	627	116	24.655257	24.655257	NUM
ejpam-5507	627	117	,	,	PUNCT
ejpam-5507	627	118	26.207445	26.207445	NUM
ejpam-5507	627	119	,	,	PUNCT
ejpam-5507	627	120	27.813584	27.813584	NUM
ejpam-5507	627	121	,	,	PUNCT
ejpam-5507	627	122	27.866845	27.866845	NUM
ejpam-5507	627	123	,	,	PUNCT
ejpam-5507	627	124	29.506678	29.506678	NUM
ejpam-5507	627	125	,	,	PUNCT
ejpam-5507	627	126	30.753878	30.753878	NUM
ejpam-5507	627	127	,	,	PUNCT
ejpam-5507	627	128	32.763854	32.763854	NUM
ejpam-5507	627	129	,	,	PUNCT
ejpam-5507	627	130	34.007137	34.007137	NUM
ejpam-5507	627	131	,	,	PUNCT
ejpam-5507	627	132	35.547121	35.547121	NUM
ejpam-5507	627	133	,	,	PUNCT
ejpam-5507	627	134	37.161858,38.220492	37.161858,38.220492	NOUN
ejpam-5507	627	135	,	,	PUNCT
ejpam-5507	627	136	39.666229	39.666229	NUM
ejpam-5507	627	137	,	,	PUNCT
ejpam-5507	627	138	41.468994	41.468994	NUM
ejpam-5507	627	139	.	.	PUNCT