id	sid	tid	token	lemma	pos
ejpam-5921	1	1	european	european	PROPN
ejpam-5921	1	2	journal	journal	PROPN
ejpam-5921	1	3	of	of	ADP
ejpam-5921	1	4	pure	pure	ADJ
ejpam-5921	1	5	and	and	CCONJ
ejpam-5921	1	6	applied	applied	ADJ
ejpam-5921	1	7	mathematics	mathematic	NOUN
ejpam-5921	1	8	2025	2025	NUM
ejpam-5921	1	9	,	,	PUNCT
ejpam-5921	1	10	vol	vol	NOUN
ejpam-5921	1	11	.	.	PROPN
ejpam-5921	1	12	18	18	NUM
ejpam-5921	1	13	,	,	PUNCT
ejpam-5921	1	14	issue	issue	NOUN
ejpam-5921	1	15	3	3	NUM
ejpam-5921	1	16	,	,	PUNCT
ejpam-5921	1	17	article	article	NOUN
ejpam-5921	1	18	number	number	NOUN
ejpam-5921	1	19	5921	5921	NUM
ejpam-5921	1	20	issn	issn	PROPN
ejpam-5921	1	21	1307	1307	NUM
ejpam-5921	1	22	-	-	SYM
ejpam-5921	1	23	5543	5543	NUM
ejpam-5921	1	24	–	–	PUNCT
ejpam-5921	1	25	ejpam.com	ejpam.com	X
ejpam-5921	1	26	published	publish	VERB
ejpam-5921	1	27	by	by	ADP
ejpam-5921	1	28	new	new	PROPN
ejpam-5921	1	29	york	york	PROPN
ejpam-5921	1	30	business	business	PROPN
ejpam-5921	1	31	global	global	PROPN
ejpam-5921	1	32	on	on	ADP
ejpam-5921	1	33	the	the	DET
ejpam-5921	1	34	generalization	generalization	NOUN
ejpam-5921	1	35	of	of	ADP
ejpam-5921	1	36	the	the	DET
ejpam-5921	1	37	bivariate	bivariate	ADJ
ejpam-5921	1	38	extended	extend	VERB
ejpam-5921	1	39	standard	standard	ADJ
ejpam-5921	1	40	u	u	ADJ
ejpam-5921	1	41	-	-	ADJ
ejpam-5921	1	42	quadratic	quadratic	ADJ
ejpam-5921	1	43	distribution	distribution	NOUN
ejpam-5921	1	44	idzhar	idzhar	NOUN
ejpam-5921	1	45	a.	a.	NOUN
ejpam-5921	1	46	lakibul1,∗	lakibul1,∗	PROPN
ejpam-5921	1	47	,	,	PUNCT
ejpam-5921	1	48	daisy	daisy	NOUN
ejpam-5921	1	49	lou	lou	PROPN
ejpam-5921	1	50	l.	l.	PROPN
ejpam-5921	1	51	polestico2,3	polestico2,3	PROPN
ejpam-5921	1	52	,	,	PUNCT
ejpam-5921	2	1	arnulfo	arnulfo	PROPN
ejpam-5921	2	2	p.	p.	PROPN
ejpam-5921	3	1	supe2,3	supe2,3	PROPN
ejpam-5921	3	2	1	1	NUM
ejpam-5921	3	3	department	department	NOUN
ejpam-5921	3	4	of	of	ADP
ejpam-5921	3	5	mathematics	mathematic	NOUN
ejpam-5921	3	6	,	,	PUNCT
ejpam-5921	3	7	college	college	NOUN
ejpam-5921	3	8	of	of	ADP
ejpam-5921	3	9	science	science	NOUN
ejpam-5921	3	10	and	and	CCONJ
ejpam-5921	3	11	mathematics	mathematic	NOUN
ejpam-5921	3	12	,	,	PUNCT
ejpam-5921	3	13	mindanao	mindanao	PROPN
ejpam-5921	3	14	state	state	PROPN
ejpam-5921	3	15	university	university	PROPN
ejpam-5921	3	16	sulu	sulu	PROPN
ejpam-5921	3	17	,	,	PUNCT
ejpam-5921	3	18	jolo	jolo	PROPN
ejpam-5921	3	19	,	,	PUNCT
ejpam-5921	3	20	sulu	sulu	PROPN
ejpam-5921	3	21	,	,	PUNCT
ejpam-5921	3	22	philippines	philippines	PROPN
ejpam-5921	3	23	2	2	NUM
ejpam-5921	3	24	department	department	NOUN
ejpam-5921	3	25	of	of	ADP
ejpam-5921	3	26	mathematics	mathematic	NOUN
ejpam-5921	3	27	and	and	CCONJ
ejpam-5921	3	28	statistics	statistic	NOUN
ejpam-5921	3	29	,	,	PUNCT
ejpam-5921	3	30	mindanao	mindanao	PROPN
ejpam-5921	3	31	state	state	PROPN
ejpam-5921	3	32	university	university	PROPN
ejpam-5921	3	33	iligan	iligan	PROPN
ejpam-5921	3	34	institute	institute	PROPN
ejpam-5921	3	35	of	of	ADP
ejpam-5921	3	36	technology	technology	PROPN
ejpam-5921	3	37	,	,	PUNCT
ejpam-5921	3	38	iligan	iligan	PROPN
ejpam-5921	3	39	city	city	PROPN
ejpam-5921	3	40	,	,	PUNCT
ejpam-5921	3	41	philippines	philippine	NOUN
ejpam-5921	3	42	3	3	NUM
ejpam-5921	3	43	premier	premier	PROPN
ejpam-5921	3	44	research	research	PROPN
ejpam-5921	3	45	institute	institute	PROPN
ejpam-5921	3	46	of	of	ADP
ejpam-5921	3	47	science	science	PROPN
ejpam-5921	3	48	and	and	CCONJ
ejpam-5921	3	49	mathematics	mathematic	NOUN
ejpam-5921	3	50	center	center	NOUN
ejpam-5921	3	51	for	for	ADP
ejpam-5921	3	52	computational	computational	ADJ
ejpam-5921	3	53	analytics	analytic	NOUN
ejpam-5921	3	54	and	and	CCONJ
ejpam-5921	3	55	modeling	modeling	NOUN
ejpam-5921	3	56	,	,	PUNCT
ejpam-5921	3	57	mindanao	mindanao	PROPN
ejpam-5921	3	58	state	state	PROPN
ejpam-5921	3	59	university	university	PROPN
ejpam-5921	3	60	iligan	iligan	PROPN
ejpam-5921	3	61	institute	institute	PROPN
ejpam-5921	3	62	of	of	ADP
ejpam-5921	3	63	technology	technology	PROPN
ejpam-5921	3	64	,	,	PUNCT
ejpam-5921	3	65	iligan	iligan	PROPN
ejpam-5921	3	66	city	city	PROPN
ejpam-5921	3	67	,	,	PUNCT
ejpam-5921	3	68	philippines	philippine	NOUN
ejpam-5921	3	69	abstract	abstract	ADJ
ejpam-5921	3	70	.	.	PUNCT
ejpam-5921	4	1	this	this	DET
ejpam-5921	4	2	paper	paper	NOUN
ejpam-5921	4	3	derives	derive	VERB
ejpam-5921	4	4	the	the	DET
ejpam-5921	4	5	generalized	generalized	ADJ
ejpam-5921	4	6	version	version	NOUN
ejpam-5921	4	7	of	of	ADP
ejpam-5921	4	8	the	the	DET
ejpam-5921	4	9	bivariate	bivariate	ADJ
ejpam-5921	4	10	extended	extended	ADJ
ejpam-5921	4	11	standard	standard	ADJ
ejpam-5921	4	12	uquadratic	uquadratic	ADJ
ejpam-5921	4	13	distribution	distribution	NOUN
ejpam-5921	4	14	using	use	VERB
ejpam-5921	4	15	the	the	DET
ejpam-5921	4	16	compounding	compounding	NOUN
ejpam-5921	4	17	method	method	NOUN
ejpam-5921	4	18	.	.	PUNCT
ejpam-5921	5	1	the	the	DET
ejpam-5921	5	2	joint	joint	ADJ
ejpam-5921	5	3	probability	probability	NOUN
ejpam-5921	5	4	and	and	CCONJ
ejpam-5921	5	5	cumulative	cumulative	ADJ
ejpam-5921	5	6	distribution	distribution	NOUN
ejpam-5921	5	7	functions	function	NOUN
ejpam-5921	5	8	of	of	ADP
ejpam-5921	5	9	the	the	DET
ejpam-5921	5	10	derived	derive	VERB
ejpam-5921	5	11	distribution	distribution	NOUN
ejpam-5921	5	12	are	be	AUX
ejpam-5921	5	13	obtained	obtain	VERB
ejpam-5921	5	14	and	and	CCONJ
ejpam-5921	5	15	it	it	PRON
ejpam-5921	5	16	is	be	AUX
ejpam-5921	5	17	observed	observe	VERB
ejpam-5921	5	18	that	that	SCONJ
ejpam-5921	5	19	the	the	DET
ejpam-5921	5	20	said	say	VERB
ejpam-5921	5	21	distribution	distribution	NOUN
ejpam-5921	5	22	can	can	AUX
ejpam-5921	5	23	generate	generate	VERB
ejpam-5921	5	24	bivariate	bivariate	ADJ
ejpam-5921	5	25	shape	shape	NOUN
ejpam-5921	5	26	distributions	distribution	NOUN
ejpam-5921	5	27	with	with	ADP
ejpam-5921	5	28	the	the	DET
ejpam-5921	5	29	following	follow	VERB
ejpam-5921	5	30	properties	property	NOUN
ejpam-5921	5	31	:	:	PUNCT
ejpam-5921	5	32	(	(	PUNCT
ejpam-5921	5	33	i)x	i)x	NOUN
ejpam-5921	5	34	and	and	CCONJ
ejpam-5921	5	35	y	y	PROPN
ejpam-5921	5	36	have	have	VERB
ejpam-5921	5	37	bathtub	bathtub	NOUN
ejpam-5921	5	38	shapes	shape	NOUN
ejpam-5921	5	39	;	;	PUNCT
ejpam-5921	5	40	(	(	PUNCT
ejpam-5921	5	41	ii	ii	NOUN
ejpam-5921	5	42	)	)	PUNCT
ejpam-5921	5	43	x	x	NOUN
ejpam-5921	5	44	and	and	CCONJ
ejpam-5921	5	45	y	y	PROPN
ejpam-5921	5	46	have	have	AUX
ejpam-5921	5	47	inverted	invert	VERB
ejpam-5921	5	48	bathtub	bathtub	ADJ
ejpam-5921	5	49	shapes	shape	NOUN
ejpam-5921	5	50	;	;	PUNCT
ejpam-5921	5	51	(	(	PUNCT
ejpam-5921	5	52	iii	iii	NOUN
ejpam-5921	5	53	)	)	PUNCT
ejpam-5921	5	54	x	x	NOUN
ejpam-5921	5	55	and	and	CCONJ
ejpam-5921	5	56	y	y	PROPN
ejpam-5921	5	57	have	have	VERB
ejpam-5921	5	58	constant	constant	ADJ
ejpam-5921	5	59	shapes	shape	NOUN
ejpam-5921	5	60	;	;	PUNCT
ejpam-5921	5	61	(	(	PUNCT
ejpam-5921	5	62	iv	iv	X
ejpam-5921	5	63	)	)	PUNCT
ejpam-5921	5	64	x	x	PUNCT
ejpam-5921	5	65	has	have	VERB
ejpam-5921	5	66	a	a	DET
ejpam-5921	5	67	constant	constant	ADJ
ejpam-5921	5	68	distribution	distribution	NOUN
ejpam-5921	5	69	and	and	CCONJ
ejpam-5921	5	70	y	y	PROPN
ejpam-5921	5	71	has	have	VERB
ejpam-5921	5	72	a	a	DET
ejpam-5921	5	73	bathtub	bathtub	ADJ
ejpam-5921	5	74	shape	shape	NOUN
ejpam-5921	5	75	;	;	PUNCT
ejpam-5921	5	76	(	(	PUNCT
ejpam-5921	5	77	v	v	NOUN
ejpam-5921	5	78	)	)	PUNCT
ejpam-5921	5	79	x	x	PUNCT
ejpam-5921	5	80	has	have	VERB
ejpam-5921	5	81	a	a	DET
ejpam-5921	5	82	constant	constant	ADJ
ejpam-5921	5	83	distribution	distribution	NOUN
ejpam-5921	5	84	and	and	CCONJ
ejpam-5921	5	85	y	y	PROPN
ejpam-5921	5	86	has	have	AUX
ejpam-5921	5	87	inverted	invert	VERB
ejpam-5921	5	88	bathtub	bathtub	ADJ
ejpam-5921	5	89	shape	shape	NOUN
ejpam-5921	5	90	;	;	PUNCT
ejpam-5921	5	91	and	and	CCONJ
ejpam-5921	5	92	(	(	PUNCT
ejpam-5921	5	93	vi	vi	X
ejpam-5921	5	94	)	)	PUNCT
ejpam-5921	5	95	x	x	PUNCT
ejpam-5921	5	96	has	have	VERB
ejpam-5921	5	97	an	an	DET
ejpam-5921	5	98	inverted	inverted	ADJ
ejpam-5921	5	99	bathtub	bathtub	NOUN
ejpam-5921	5	100	distribution	distribution	NOUN
ejpam-5921	5	101	and	and	CCONJ
ejpam-5921	5	102	y	y	PROPN
ejpam-5921	5	103	has	have	VERB
ejpam-5921	5	104	a	a	DET
ejpam-5921	5	105	bathtub	bathtub	ADJ
ejpam-5921	5	106	shape	shape	NOUN
ejpam-5921	5	107	.	.	PUNCT
ejpam-5921	6	1	moreover	moreover	ADV
ejpam-5921	6	2	,	,	PUNCT
ejpam-5921	6	3	two	two	NUM
ejpam-5921	6	4	special	special	ADJ
ejpam-5921	6	5	cases	case	NOUN
ejpam-5921	6	6	of	of	ADP
ejpam-5921	6	7	the	the	DET
ejpam-5921	6	8	generalized	generalize	VERB
ejpam-5921	6	9	besu	besu	NOUN
ejpam-5921	6	10	distribution	distribution	NOUN
ejpam-5921	6	11	are	be	AUX
ejpam-5921	6	12	constructed	construct	VERB
ejpam-5921	6	13	,	,	PUNCT
ejpam-5921	6	14	and	and	CCONJ
ejpam-5921	6	15	these	these	PRON
ejpam-5921	6	16	are	be	AUX
ejpam-5921	6	17	called	call	VERB
ejpam-5921	6	18	the	the	DET
ejpam-5921	6	19	special	special	ADJ
ejpam-5921	6	20	bivariate	bivariate	ADJ
ejpam-5921	6	21	extended	extended	ADJ
ejpam-5921	6	22	standard	standard	ADJ
ejpam-5921	6	23	u	u	ADJ
ejpam-5921	6	24	-	-	ADJ
ejpam-5921	6	25	quadratic	quadratic	ADJ
ejpam-5921	6	26	type	type	NOUN
ejpam-5921	6	27	i	i	PRON
ejpam-5921	6	28	(	(	PUNCT
ejpam-5921	6	29	sbesu	sbesu	ADJ
ejpam-5921	6	30	-	-	PUNCT
ejpam-5921	6	31	type	type	NOUN
ejpam-5921	6	32	i	i	NOUN
ejpam-5921	6	33	)	)	PUNCT
ejpam-5921	6	34	and	and	CCONJ
ejpam-5921	6	35	special	special	ADJ
ejpam-5921	6	36	bivariate	bivariate	ADJ
ejpam-5921	6	37	extended	extend	VERB
ejpam-5921	6	38	standard	standard	ADJ
ejpam-5921	6	39	u	u	ADJ
ejpam-5921	6	40	-	-	ADJ
ejpam-5921	6	41	quadratic	quadratic	ADJ
ejpam-5921	6	42	type	type	NOUN
ejpam-5921	6	43	ii	ii	NOUN
ejpam-5921	6	44	(	(	PUNCT
ejpam-5921	6	45	sbesu	sbesu	ADJ
ejpam-5921	6	46	-	-	PUNCT
ejpam-5921	6	47	type	type	NOUN
ejpam-5921	6	48	ii	ii	NOUN
ejpam-5921	6	49	)	)	PUNCT
ejpam-5921	6	50	distributions	distribution	NOUN
ejpam-5921	6	51	.	.	PUNCT
ejpam-5921	7	1	further	far	ADV
ejpam-5921	7	2	,	,	PUNCT
ejpam-5921	7	3	some	some	DET
ejpam-5921	7	4	properties	property	NOUN
ejpam-5921	7	5	of	of	ADP
ejpam-5921	7	6	this	this	DET
ejpam-5921	7	7	proposed	propose	VERB
ejpam-5921	7	8	distribution	distribution	NOUN
ejpam-5921	7	9	are	be	AUX
ejpam-5921	7	10	derived	derive	VERB
ejpam-5921	7	11	such	such	ADJ
ejpam-5921	7	12	as	as	ADP
ejpam-5921	7	13	the	the	DET
ejpam-5921	7	14	marginal	marginal	ADJ
ejpam-5921	7	15	distribution	distribution	NOUN
ejpam-5921	7	16	,	,	PUNCT
ejpam-5921	7	17	conditional	conditional	ADJ
ejpam-5921	7	18	distribution	distribution	NOUN
ejpam-5921	7	19	,	,	PUNCT
ejpam-5921	7	20	conditional	conditional	ADJ
ejpam-5921	7	21	moments	moment	NOUN
ejpam-5921	7	22	,	,	PUNCT
ejpam-5921	7	23	conditional	conditional	ADJ
ejpam-5921	7	24	mean	mean	NOUN
ejpam-5921	7	25	,	,	PUNCT
ejpam-5921	7	26	conditional	conditional	ADJ
ejpam-5921	7	27	variance	variance	NOUN
ejpam-5921	7	28	,	,	PUNCT
ejpam-5921	7	29	product	product	NOUN
ejpam-5921	7	30	and	and	CCONJ
ejpam-5921	7	31	ratio	ratio	NOUN
ejpam-5921	7	32	moments	moment	NOUN
ejpam-5921	7	33	,	,	PUNCT
ejpam-5921	7	34	pearson	pearson	PROPN
ejpam-5921	7	35	correlation	correlation	NOUN
ejpam-5921	7	36	coefficient	coefficient	NOUN
ejpam-5921	7	37	,	,	PUNCT
ejpam-5921	7	38	joint	joint	ADJ
ejpam-5921	7	39	moment	moment	NOUN
ejpam-5921	7	40	generating	generate	VERB
ejpam-5921	7	41	function	function	NOUN
ejpam-5921	7	42	,	,	PUNCT
ejpam-5921	7	43	kendall	kendall	PROPN
ejpam-5921	7	44	’s	’s	PART
ejpam-5921	7	45	tau	tau	PROPN
ejpam-5921	7	46	coefficient	coefficient	NOUN
ejpam-5921	7	47	,	,	PUNCT
ejpam-5921	7	48	spearman	spearman	NOUN
ejpam-5921	7	49	’s	’s	PART
ejpam-5921	7	50	rho	rho	NOUN
ejpam-5921	7	51	,	,	PUNCT
ejpam-5921	7	52	and	and	CCONJ
ejpam-5921	7	53	the	the	DET
ejpam-5921	7	54	stress	stress	NOUN
ejpam-5921	7	55	strength	strength	NOUN
ejpam-5921	7	56	parameter	parameter	NOUN
ejpam-5921	7	57	.	.	PUNCT
ejpam-5921	8	1	in	in	ADP
ejpam-5921	8	2	addition	addition	NOUN
ejpam-5921	8	3	,	,	PUNCT
ejpam-5921	8	4	maximum	maximum	ADJ
ejpam-5921	8	5	likelihood	likelihood	NOUN
ejpam-5921	8	6	estimation	estimation	NOUN
ejpam-5921	8	7	is	be	AUX
ejpam-5921	8	8	performed	perform	VERB
ejpam-5921	8	9	to	to	PART
ejpam-5921	8	10	estimate	estimate	VERB
ejpam-5921	8	11	the	the	DET
ejpam-5921	8	12	parameters	parameter	NOUN
ejpam-5921	8	13	of	of	ADP
ejpam-5921	8	14	the	the	DET
ejpam-5921	8	15	derived	derive	VERB
ejpam-5921	8	16	distribution	distribution	NOUN
ejpam-5921	8	17	.	.	PUNCT
ejpam-5921	9	1	a	a	DET
ejpam-5921	9	2	simulation	simulation	NOUN
ejpam-5921	9	3	study	study	NOUN
ejpam-5921	9	4	is	be	AUX
ejpam-5921	9	5	carried	carry	VERB
ejpam-5921	9	6	out	out	ADP
ejpam-5921	9	7	to	to	PART
ejpam-5921	9	8	evaluate	evaluate	VERB
ejpam-5921	9	9	the	the	DET
ejpam-5921	9	10	behavior	behavior	NOUN
ejpam-5921	9	11	of	of	ADP
ejpam-5921	9	12	the	the	DET
ejpam-5921	9	13	parameter	parameter	NOUN
ejpam-5921	9	14	estimates	estimate	NOUN
ejpam-5921	9	15	.	.	PUNCT
ejpam-5921	10	1	finally	finally	ADV
ejpam-5921	10	2	,	,	PUNCT
ejpam-5921	10	3	the	the	DET
ejpam-5921	10	4	proposed	propose	VERB
ejpam-5921	10	5	generalization	generalization	NOUN
ejpam-5921	10	6	of	of	ADP
ejpam-5921	10	7	the	the	DET
ejpam-5921	10	8	bivariate	bivariate	ADJ
ejpam-5921	10	9	esu	esu	NOUN
ejpam-5921	10	10	distribution	distribution	NOUN
ejpam-5921	10	11	is	be	AUX
ejpam-5921	10	12	applied	apply	VERB
ejpam-5921	10	13	to	to	ADP
ejpam-5921	10	14	simulated	simulated	ADJ
ejpam-5921	10	15	data	datum	NOUN
ejpam-5921	10	16	and	and	CCONJ
ejpam-5921	10	17	compared	compare	VERB
ejpam-5921	10	18	with	with	ADP
ejpam-5921	10	19	the	the	DET
ejpam-5921	10	20	bivariate	bivariate	ADJ
ejpam-5921	10	21	extended	extend	VERB
ejpam-5921	10	22	standard	standard	ADJ
ejpam-5921	10	23	u	u	ADJ
ejpam-5921	10	24	-	-	ADJ
ejpam-5921	10	25	quadratic	quadratic	ADJ
ejpam-5921	10	26	distribution	distribution	NOUN
ejpam-5921	10	27	.	.	PUNCT
ejpam-5921	11	1	the	the	DET
ejpam-5921	11	2	results	result	NOUN
ejpam-5921	11	3	show	show	VERB
ejpam-5921	11	4	that	that	SCONJ
ejpam-5921	11	5	the	the	DET
ejpam-5921	11	6	proposed	propose	VERB
ejpam-5921	11	7	generalization	generalization	NOUN
ejpam-5921	11	8	of	of	ADP
ejpam-5921	11	9	the	the	DET
ejpam-5921	11	10	bivariate	bivariate	ADJ
ejpam-5921	11	11	esu	esu	NOUN
ejpam-5921	11	12	distribution	distribution	NOUN
ejpam-5921	11	13	provides	provide	VERB
ejpam-5921	11	14	a	a	DET
ejpam-5921	11	15	better	well	ADJ
ejpam-5921	11	16	fit	fit	NOUN
ejpam-5921	11	17	on	on	ADP
ejpam-5921	11	18	the	the	DET
ejpam-5921	11	19	simulated	simulate	VERB
ejpam-5921	11	20	data	datum	NOUN
ejpam-5921	11	21	set	set	VERB
ejpam-5921	11	22	than	than	ADP
ejpam-5921	11	23	the	the	DET
ejpam-5921	11	24	bivariate	bivariate	ADJ
ejpam-5921	11	25	esu	esu	NOUN
ejpam-5921	11	26	distribution	distribution	NOUN
ejpam-5921	11	27	.	.	PUNCT
ejpam-5921	12	1	2020	2020	NUM
ejpam-5921	12	2	mathematics	mathematic	NOUN
ejpam-5921	12	3	subject	subject	NOUN
ejpam-5921	12	4	classifications	classification	NOUN
ejpam-5921	12	5	:	:	PUNCT
ejpam-5921	12	6	60e05	60e05	NUM
ejpam-5921	12	7	,	,	PUNCT
ejpam-5921	12	8	62e10	62e10	NUM
ejpam-5921	12	9	,	,	PUNCT
ejpam-5921	12	10	65c10	65c10	NUM
ejpam-5921	12	11	key	key	ADJ
ejpam-5921	12	12	words	word	NOUN
ejpam-5921	12	13	and	and	CCONJ
ejpam-5921	12	14	phrases	phrase	NOUN
ejpam-5921	12	15	:	:	PUNCT
ejpam-5921	12	16	standard	standard	ADJ
ejpam-5921	12	17	u	u	ADJ
ejpam-5921	12	18	-	-	ADJ
ejpam-5921	12	19	quadratic	quadratic	ADJ
ejpam-5921	12	20	distribution	distribution	NOUN
ejpam-5921	12	21	,	,	PUNCT
ejpam-5921	12	22	kumaraswamy	kumaraswamy	ADJ
ejpam-5921	12	23	distribution	distribution	NOUN
ejpam-5921	12	24	,	,	PUNCT
ejpam-5921	12	25	bivariate	bivariate	ADJ
ejpam-5921	12	26	distribution	distribution	NOUN
ejpam-5921	12	27	,	,	PUNCT
ejpam-5921	12	28	bivariate	bivariate	ADJ
ejpam-5921	12	29	extended	extended	ADJ
ejpam-5921	12	30	standard	standard	ADJ
ejpam-5921	12	31	u	u	ADJ
ejpam-5921	12	32	-	-	ADJ
ejpam-5921	12	33	quadratic	quadratic	ADJ
ejpam-5921	12	34	distribution	distribution	NOUN
ejpam-5921	12	35	,	,	PUNCT
ejpam-5921	12	36	bathtub	bathtub	NOUN
ejpam-5921	12	37	shape	shape	NOUN
ejpam-5921	12	38	distribution	distribution	NOUN
ejpam-5921	12	39	∗corresponding	∗corresponde	VERB
ejpam-5921	12	40	author	author	NOUN
ejpam-5921	12	41	.	.	PUNCT
ejpam-5921	13	1	doi	doi	NOUN
ejpam-5921	13	2	:	:	PUNCT
ejpam-5921	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.5921	https://doi.org/10.29020/nybg.ejpam.v18i3.5921	NUM
ejpam-5921	13	4	email	email	NOUN
ejpam-5921	13	5	addresses	address	NOUN
ejpam-5921	13	6	:	:	PUNCT
ejpam-5921	13	7	idzhar.lakibul@msusulu.edu.ph	idzhar.lakibul@msusulu.edu.ph	PROPN
ejpam-5921	13	8	(	(	PUNCT
ejpam-5921	13	9	i.	i.	PROPN
ejpam-5921	13	10	a.	a.	PROPN
ejpam-5921	13	11	lakibul	lakibul	PROPN
ejpam-5921	13	12	)	)	PUNCT
ejpam-5921	13	13	,	,	PUNCT
ejpam-5921	13	14	daisylou.polestico@g.msuiit.edu.ph	daisylou.polestico@g.msuiit.edu.ph	PROPN
ejpam-5921	13	15	(	(	PUNCT
ejpam-5921	13	16	d.	d.	PROPN
ejpam-5921	13	17	l.	l.	PROPN
ejpam-5921	13	18	polestico	polestico	PROPN
ejpam-5921	13	19	)	)	PUNCT
ejpam-5921	13	20	,	,	PUNCT
ejpam-5921	13	21	arnulfo.supe@g.msuiit.edu.ph	arnulfo.supe@g.msuiit.edu.ph	PROPN
ejpam-5921	13	22	(	(	PUNCT
ejpam-5921	13	23	a.	a.	PROPN
ejpam-5921	13	24	p.	p.	PROPN
ejpam-5921	13	25	supe	supe	PROPN
ejpam-5921	13	26	)	)	PUNCT
ejpam-5921	13	27	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5921	14	1	1	1	NUM
ejpam-5921	14	2	copyright	copyright	NOUN
ejpam-5921	14	3	:	:	PUNCT
ejpam-5921	14	4	©	©	PROPN
ejpam-5921	14	5	2025	2025	NUM
ejpam-5921	14	6	the	the	DET
ejpam-5921	14	7	author(s	author(s	NOUN
ejpam-5921	14	8	)	)	PUNCT
ejpam-5921	14	9	.	.	PUNCT
ejpam-5921	15	1	(	(	PUNCT
ejpam-5921	15	2	cc	cc	NOUN
ejpam-5921	15	3	by	by	ADP
ejpam-5921	15	4	-	-	PUNCT
ejpam-5921	15	5	nc	nc	PROPN
ejpam-5921	15	6	4.0	4.0	NUM
ejpam-5921	15	7	)	)	PUNCT
ejpam-5921	15	8	i.	i.	PROPN
ejpam-5921	15	9	a.	a.	PROPN
ejpam-5921	15	10	lakibul	lakibul	PROPN
ejpam-5921	15	11	,	,	PUNCT
ejpam-5921	15	12	d.	d.	PROPN
ejpam-5921	15	13	l.	l.	PROPN
ejpam-5921	15	14	polestico	polestico	PROPN
ejpam-5921	15	15	,	,	PUNCT
ejpam-5921	15	16	a.	a.	PROPN
ejpam-5921	15	17	p.	p.	NOUN
ejpam-5921	15	18	supe	supe	PROPN
ejpam-5921	15	19	/	/	SYM
ejpam-5921	15	20	eur	eur	PROPN
ejpam-5921	15	21	.	.	PUNCT
ejpam-5921	16	1	j.	j.	PROPN
ejpam-5921	16	2	pure	pure	PROPN
ejpam-5921	16	3	appl	appl	PROPN
ejpam-5921	16	4	.	.	PROPN
ejpam-5921	16	5	math	math	PROPN
ejpam-5921	16	6	,	,	PUNCT
ejpam-5921	16	7	18	18	NUM
ejpam-5921	16	8	(	(	PUNCT
ejpam-5921	16	9	3	3	NUM
ejpam-5921	16	10	)	)	PUNCT
ejpam-5921	16	11	(	(	PUNCT
ejpam-5921	16	12	2025	2025	NUM
ejpam-5921	16	13	)	)	PUNCT
ejpam-5921	16	14	,	,	PUNCT
ejpam-5921	16	15	5921	5921	NUM
ejpam-5921	16	16	2	2	NUM
ejpam-5921	16	17	of	of	ADP
ejpam-5921	16	18	24	24	NUM
ejpam-5921	16	19	1	1	NUM
ejpam-5921	16	20	.	.	PUNCT
ejpam-5921	17	1	introduction	introduction	NOUN
ejpam-5921	17	2	a	a	DET
ejpam-5921	17	3	prominent	prominent	ADJ
ejpam-5921	17	4	area	area	NOUN
ejpam-5921	17	5	of	of	ADP
ejpam-5921	17	6	research	research	NOUN
ejpam-5921	17	7	in	in	ADP
ejpam-5921	17	8	distribution	distribution	NOUN
ejpam-5921	17	9	theory	theory	NOUN
ejpam-5921	17	10	is	be	AUX
ejpam-5921	17	11	the	the	DET
ejpam-5921	17	12	generalization	generalization	NOUN
ejpam-5921	17	13	of	of	ADP
ejpam-5921	17	14	univariate	univariate	ADJ
ejpam-5921	17	15	distributions	distribution	NOUN
ejpam-5921	17	16	to	to	ADP
ejpam-5921	17	17	their	their	PRON
ejpam-5921	17	18	corresponding	corresponding	ADJ
ejpam-5921	17	19	bivariate	bivariate	ADJ
ejpam-5921	17	20	cases	case	NOUN
ejpam-5921	17	21	.	.	PUNCT
ejpam-5921	18	1	a	a	DET
ejpam-5921	18	2	bivariate	bivariate	ADJ
ejpam-5921	18	3	distribution	distribution	NOUN
ejpam-5921	18	4	is	be	AUX
ejpam-5921	18	5	useful	useful	ADJ
ejpam-5921	18	6	for	for	ADP
ejpam-5921	18	7	modeling	model	VERB
ejpam-5921	18	8	the	the	DET
ejpam-5921	18	9	relationship	relationship	NOUN
ejpam-5921	18	10	between	between	ADP
ejpam-5921	18	11	two	two	NUM
ejpam-5921	18	12	random	random	ADJ
ejpam-5921	18	13	variables	variable	NOUN
ejpam-5921	18	14	.	.	PUNCT
ejpam-5921	19	1	filus	filus	NOUN
ejpam-5921	19	2	and	and	CCONJ
ejpam-5921	19	3	filus	filus	NOUN
ejpam-5921	20	1	[	[	X
ejpam-5921	20	2	1	1	X
ejpam-5921	20	3	]	]	PUNCT
ejpam-5921	20	4	introduced	introduce	VERB
ejpam-5921	20	5	a	a	DET
ejpam-5921	20	6	method	method	NOUN
ejpam-5921	20	7	for	for	ADP
ejpam-5921	20	8	generating	generate	VERB
ejpam-5921	20	9	bivariate	bivariate	ADJ
ejpam-5921	20	10	or	or	CCONJ
ejpam-5921	20	11	multivariate	multivariate	NOUN
ejpam-5921	20	12	distributions	distribution	NOUN
ejpam-5921	20	13	using	use	VERB
ejpam-5921	20	14	linear	linear	ADJ
ejpam-5921	20	15	combinations	combination	NOUN
ejpam-5921	20	16	of	of	ADP
ejpam-5921	20	17	random	random	ADJ
ejpam-5921	20	18	variables	variable	NOUN
ejpam-5921	20	19	.	.	PUNCT
ejpam-5921	21	1	specifically	specifically	ADV
ejpam-5921	21	2	,	,	PUNCT
ejpam-5921	21	3	they	they	PRON
ejpam-5921	21	4	derived	derive	VERB
ejpam-5921	21	5	the	the	DET
ejpam-5921	21	6	pseudo	pseudo	NOUN
ejpam-5921	21	7	-	-	NOUN
ejpam-5921	21	8	weibull	weibull	ADJ
ejpam-5921	21	9	and	and	CCONJ
ejpam-5921	21	10	pseudo	pseudo	NOUN
ejpam-5921	21	11	-	-	NOUN
ejpam-5921	21	12	gamma	gamma	NOUN
ejpam-5921	21	13	distributions	distribution	NOUN
ejpam-5921	21	14	as	as	ADP
ejpam-5921	21	15	linear	linear	ADJ
ejpam-5921	21	16	combinations	combination	NOUN
ejpam-5921	21	17	of	of	ADP
ejpam-5921	21	18	weibull	weibull	PROPN
ejpam-5921	21	19	and	and	CCONJ
ejpam-5921	21	20	gamma	gamma	NOUN
ejpam-5921	21	21	random	random	ADJ
ejpam-5921	21	22	variables	variable	NOUN
ejpam-5921	21	23	,	,	PUNCT
ejpam-5921	21	24	respectively	respectively	ADV
ejpam-5921	21	25	.	.	PUNCT
ejpam-5921	22	1	shahbaz	shahbaz	PROPN
ejpam-5921	22	2	et	et	PROPN
ejpam-5921	22	3	al	al	PROPN
ejpam-5921	22	4	.	.	PUNCT
ejpam-5921	23	1	[	[	X
ejpam-5921	23	2	2	2	NUM
ejpam-5921	23	3	]	]	PUNCT
ejpam-5921	23	4	developed	develop	VERB
ejpam-5921	23	5	a	a	DET
ejpam-5921	23	6	bivariate	bivariate	ADJ
ejpam-5921	23	7	exponential	exponential	ADJ
ejpam-5921	23	8	distribution	distribution	NOUN
ejpam-5921	23	9	as	as	ADP
ejpam-5921	23	10	the	the	DET
ejpam-5921	23	11	compound	compound	NOUN
ejpam-5921	23	12	distribution	distribution	NOUN
ejpam-5921	23	13	of	of	ADP
ejpam-5921	23	14	two	two	NUM
ejpam-5921	23	15	exponential	exponential	ADJ
ejpam-5921	23	16	random	random	ADJ
ejpam-5921	23	17	variables	variable	NOUN
ejpam-5921	23	18	.	.	PUNCT
ejpam-5921	24	1	in	in	ADP
ejpam-5921	24	2	addition	addition	NOUN
ejpam-5921	24	3	to	to	ADP
ejpam-5921	24	4	the	the	DET
ejpam-5921	24	5	bivariate	bivariate	ADJ
ejpam-5921	24	6	exponential	exponential	ADJ
ejpam-5921	24	7	distribution	distribution	NOUN
ejpam-5921	24	8	,	,	PUNCT
ejpam-5921	24	9	many	many	ADJ
ejpam-5921	24	10	known	know	VERB
ejpam-5921	24	11	bivariate	bivariate	ADJ
ejpam-5921	24	12	distributions	distribution	NOUN
ejpam-5921	24	13	were	be	AUX
ejpam-5921	24	14	derived	derive	VERB
ejpam-5921	24	15	using	use	VERB
ejpam-5921	24	16	this	this	PRON
ejpam-5921	24	17	,	,	PUNCT
ejpam-5921	24	18	such	such	ADJ
ejpam-5921	24	19	as	as	ADP
ejpam-5921	24	20	the	the	DET
ejpam-5921	24	21	bivariate	bivariate	ADJ
ejpam-5921	24	22	pseudo	pseudo	NOUN
ejpam-5921	24	23	-	-	ADJ
ejpam-5921	24	24	weibull	weibull	ADJ
ejpam-5921	24	25	distribution	distribution	NOUN
ejpam-5921	24	26	[	[	X
ejpam-5921	24	27	3	3	NUM
ejpam-5921	24	28	]	]	PUNCT
ejpam-5921	24	29	,	,	PUNCT
ejpam-5921	24	30	bivariate	bivariate	ADJ
ejpam-5921	24	31	pseudo	pseudo	ADJ
ejpam-5921	24	32	-	-	ADJ
ejpam-5921	24	33	rayleigh	rayleigh	ADJ
ejpam-5921	24	34	distribution	distribution	NOUN
ejpam-5921	24	35	[	[	X
ejpam-5921	24	36	4	4	NUM
ejpam-5921	24	37	]	]	PUNCT
ejpam-5921	24	38	,	,	PUNCT
ejpam-5921	24	39	bivariate	bivariate	ADJ
ejpam-5921	24	40	pseudo	pseudo	NOUN
ejpam-5921	24	41	-	-	ADJ
ejpam-5921	24	42	inverse	inverse	ADJ
ejpam-5921	24	43	rayleigh	rayleigh	NOUN
ejpam-5921	24	44	distribution	distribution	NOUN
ejpam-5921	24	45	[	[	X
ejpam-5921	24	46	5	5	NUM
ejpam-5921	24	47	]	]	PUNCT
ejpam-5921	24	48	,	,	PUNCT
ejpam-5921	24	49	bivariate	bivariate	ADJ
ejpam-5921	24	50	pseudo	pseudo	NOUN
ejpam-5921	24	51	-	-	NOUN
ejpam-5921	24	52	gumbel	gumbel	NOUN
ejpam-5921	24	53	distribution	distribution	NOUN
ejpam-5921	24	54	[	[	X
ejpam-5921	24	55	6	6	NUM
ejpam-5921	24	56	]	]	PUNCT
ejpam-5921	24	57	,	,	PUNCT
ejpam-5921	24	58	bivariate	bivariate	ADJ
ejpam-5921	24	59	inverse	inverse	ADJ
ejpam-5921	24	60	exponential	exponential	ADJ
ejpam-5921	24	61	distribution	distribution	NOUN
ejpam-5921	24	62	[	[	X
ejpam-5921	24	63	7	7	NUM
ejpam-5921	24	64	]	]	PUNCT
ejpam-5921	24	65	,	,	PUNCT
ejpam-5921	24	66	among	among	ADP
ejpam-5921	24	67	others	other	NOUN
ejpam-5921	24	68	.	.	PUNCT
ejpam-5921	25	1	lakibul	lakibul	PROPN
ejpam-5921	25	2	and	and	CCONJ
ejpam-5921	25	3	tubo	tubo	ADJ
ejpam-5921	25	4	[	[	X
ejpam-5921	25	5	8	8	NUM
ejpam-5921	25	6	]	]	PUNCT
ejpam-5921	25	7	formed	form	VERB
ejpam-5921	25	8	a	a	DET
ejpam-5921	25	9	probability	probability	NOUN
ejpam-5921	25	10	distribution	distribution	NOUN
ejpam-5921	25	11	in	in	ADP
ejpam-5921	25	12	the	the	DET
ejpam-5921	25	13	interval	interval	NOUN
ejpam-5921	25	14	[	[	X
ejpam-5921	25	15	0	0	NUM
ejpam-5921	25	16	,	,	PUNCT
ejpam-5921	25	17	1	1	NUM
ejpam-5921	25	18	]	]	PUNCT
ejpam-5921	25	19	called	call	VERB
ejpam-5921	25	20	the	the	DET
ejpam-5921	25	21	extended	extended	ADJ
ejpam-5921	25	22	standard	standard	ADJ
ejpam-5921	25	23	u	u	ADJ
ejpam-5921	25	24	-	-	ADJ
ejpam-5921	25	25	quadratic	quadratic	ADJ
ejpam-5921	25	26	distribution	distribution	NOUN
ejpam-5921	25	27	,	,	PUNCT
ejpam-5921	25	28	and	and	CCONJ
ejpam-5921	25	29	it	it	PRON
ejpam-5921	25	30	is	be	AUX
ejpam-5921	25	31	given	give	VERB
ejpam-5921	25	32	in	in	ADP
ejpam-5921	25	33	the	the	DET
ejpam-5921	25	34	following	follow	VERB
ejpam-5921	25	35	definition	definition	NOUN
ejpam-5921	25	36	.	.	PUNCT
ejpam-5921	26	1	a	a	DET
ejpam-5921	26	2	random	random	ADJ
ejpam-5921	26	3	variable	variable	NOUN
ejpam-5921	26	4	x	x	PUNCT
ejpam-5921	26	5	is	be	AUX
ejpam-5921	26	6	said	say	VERB
ejpam-5921	26	7	to	to	PART
ejpam-5921	26	8	have	have	VERB
ejpam-5921	26	9	an	an	DET
ejpam-5921	26	10	extended	extended	ADJ
ejpam-5921	26	11	standard	standard	ADJ
ejpam-5921	26	12	u	u	ADJ
ejpam-5921	26	13	-	-	ADJ
ejpam-5921	26	14	quadratic	quadratic	ADJ
ejpam-5921	26	15	distribution	distribution	NOUN
ejpam-5921	26	16	denoted	denote	VERB
ejpam-5921	26	17	by	by	ADP
ejpam-5921	26	18	”	"	PUNCT
ejpam-5921	26	19	esu	esu	NOUN
ejpam-5921	26	20	”	"	PUNCT
ejpam-5921	26	21	if	if	SCONJ
ejpam-5921	26	22	the	the	DET
ejpam-5921	26	23	probability	probability	NOUN
ejpam-5921	26	24	density	density	NOUN
ejpam-5921	26	25	function	function	NOUN
ejpam-5921	26	26	(	(	PUNCT
ejpam-5921	26	27	pdf	pdf	NOUN
ejpam-5921	26	28	)	)	PUNCT
ejpam-5921	26	29	of	of	ADP
ejpam-5921	26	30	x	x	PRON
ejpam-5921	26	31	is	be	AUX
ejpam-5921	26	32	given	give	VERB
ejpam-5921	26	33	by	by	ADP
ejpam-5921	26	34	f(x	f(x	PROPN
ejpam-5921	26	35	)	)	PUNCT
ejpam-5921	26	36	=	=	SYM
ejpam-5921	27	1	1−	1−	NUM
ejpam-5921	27	2	λ+	λ+	PUNCT
ejpam-5921	27	3	3λ(2x−	3λ(2x−	NUM
ejpam-5921	27	4	1)2	1)2	NUM
ejpam-5921	27	5	,	,	PUNCT
ejpam-5921	27	6	x	x	SYM
ejpam-5921	27	7	∈	∈	PROPN
ejpam-5921	28	1	[	[	X
ejpam-5921	28	2	0	0	NUM
ejpam-5921	28	3	,	,	PUNCT
ejpam-5921	28	4	1	1	NUM
ejpam-5921	28	5	]	]	PUNCT
ejpam-5921	28	6	,	,	PUNCT
ejpam-5921	28	7	(	(	PUNCT
ejpam-5921	28	8	1	1	X
ejpam-5921	28	9	)	)	PUNCT
ejpam-5921	28	10	where	where	SCONJ
ejpam-5921	28	11	λ	λ	PROPN
ejpam-5921	28	12	∈	∈	PROPN
ejpam-5921	29	1	[	[	X
ejpam-5921	29	2	−0.5	−0.5	PROPN
ejpam-5921	29	3	,	,	PUNCT
ejpam-5921	29	4	1	1	NUM
ejpam-5921	29	5	]	]	PUNCT
ejpam-5921	29	6	.	.	PUNCT
ejpam-5921	30	1	it	it	PRON
ejpam-5921	30	2	was	be	AUX
ejpam-5921	30	3	investigated	investigate	VERB
ejpam-5921	30	4	that	that	SCONJ
ejpam-5921	30	5	this	this	DET
ejpam-5921	30	6	distribution	distribution	NOUN
ejpam-5921	30	7	can	can	AUX
ejpam-5921	30	8	form	form	VERB
ejpam-5921	30	9	three	three	NUM
ejpam-5921	30	10	different	different	ADJ
ejpam-5921	30	11	types	type	NOUN
ejpam-5921	30	12	of	of	ADP
ejpam-5921	30	13	shapes	shape	NOUN
ejpam-5921	30	14	namely	namely	ADV
ejpam-5921	30	15	,	,	PUNCT
ejpam-5921	30	16	the	the	DET
ejpam-5921	30	17	inverted	inverted	ADJ
ejpam-5921	30	18	bathtub	bathtub	NOUN
ejpam-5921	30	19	for	for	ADP
ejpam-5921	30	20	λ	λ	PROPN
ejpam-5921	30	21	∈	∈	PROPN
ejpam-5921	31	1	[	[	X
ejpam-5921	31	2	−0.5	−0.5	PROPN
ejpam-5921	31	3	,	,	PUNCT
ejpam-5921	31	4	0	0	NUM
ejpam-5921	31	5	)	)	PUNCT
ejpam-5921	31	6	,	,	PUNCT
ejpam-5921	31	7	constant	constant	ADJ
ejpam-5921	31	8	for	for	ADP
ejpam-5921	31	9	λ	λ	X
ejpam-5921	31	10	=	=	SYM
ejpam-5921	31	11	0	0	NUM
ejpam-5921	31	12	and	and	CCONJ
ejpam-5921	31	13	bathtub	bathtub	VERB
ejpam-5921	31	14	for	for	ADP
ejpam-5921	31	15	λ	λ	PROPN
ejpam-5921	31	16	∈	∈	PROPN
ejpam-5921	31	17	(	(	PUNCT
ejpam-5921	31	18	0	0	NUM
ejpam-5921	31	19	,	,	PUNCT
ejpam-5921	31	20	1	1	NUM
ejpam-5921	31	21	]	]	PUNCT
ejpam-5921	31	22	.	.	PUNCT
ejpam-5921	32	1	moreover	moreover	ADV
ejpam-5921	32	2	,	,	PUNCT
ejpam-5921	32	3	several	several	ADJ
ejpam-5921	32	4	properties	property	NOUN
ejpam-5921	32	5	of	of	ADP
ejpam-5921	32	6	this	this	DET
ejpam-5921	32	7	distribution	distribution	NOUN
ejpam-5921	32	8	are	be	AUX
ejpam-5921	32	9	detailed	detail	VERB
ejpam-5921	32	10	in	in	ADP
ejpam-5921	32	11	the	the	DET
ejpam-5921	32	12	paper	paper	NOUN
ejpam-5921	32	13	of	of	ADP
ejpam-5921	32	14	lakibul	lakibul	PROPN
ejpam-5921	32	15	and	and	CCONJ
ejpam-5921	32	16	tubo	tubo	ADJ
ejpam-5921	32	17	[	[	X
ejpam-5921	32	18	9	9	NUM
ejpam-5921	32	19	]	]	PUNCT
ejpam-5921	32	20	.	.	PUNCT
ejpam-5921	33	1	furthermore	furthermore	ADV
ejpam-5921	33	2	,	,	PUNCT
ejpam-5921	33	3	the	the	DET
ejpam-5921	33	4	generalized	generalized	ADJ
ejpam-5921	33	5	version	version	NOUN
ejpam-5921	33	6	of	of	ADP
ejpam-5921	33	7	this	this	DET
ejpam-5921	33	8	distribution	distribution	NOUN
ejpam-5921	33	9	is	be	AUX
ejpam-5921	33	10	given	give	VERB
ejpam-5921	33	11	in	in	ADP
ejpam-5921	33	12	the	the	DET
ejpam-5921	33	13	paper	paper	NOUN
ejpam-5921	33	14	of	of	ADP
ejpam-5921	33	15	lakibul	lakibul	PROPN
ejpam-5921	33	16	,	,	PUNCT
ejpam-5921	33	17	polestico	polestico	NOUN
ejpam-5921	33	18	and	and	CCONJ
ejpam-5921	33	19	supe	supe	PROPN
ejpam-5921	34	1	[	[	X
ejpam-5921	34	2	10	10	NUM
ejpam-5921	34	3	]	]	PUNCT
ejpam-5921	34	4	.	.	PUNCT
ejpam-5921	35	1	this	this	DET
ejpam-5921	35	2	distribution	distribution	NOUN
ejpam-5921	35	3	can	can	AUX
ejpam-5921	35	4	be	be	AUX
ejpam-5921	35	5	used	use	VERB
ejpam-5921	35	6	as	as	ADP
ejpam-5921	35	7	an	an	DET
ejpam-5921	35	8	option	option	NOUN
ejpam-5921	35	9	to	to	ADP
ejpam-5921	35	10	the	the	DET
ejpam-5921	35	11	beta	beta	ADJ
ejpam-5921	35	12	distribution	distribution	NOUN
ejpam-5921	35	13	and	and	CCONJ
ejpam-5921	35	14	the	the	DET
ejpam-5921	35	15	kumaraswamy	kumaraswamy	NOUN
ejpam-5921	35	16	[	[	X
ejpam-5921	35	17	11	11	NUM
ejpam-5921	35	18	]	]	PUNCT
ejpam-5921	35	19	distribution	distribution	NOUN
ejpam-5921	35	20	to	to	PART
ejpam-5921	35	21	model	model	VERB
ejpam-5921	35	22	data	datum	NOUN
ejpam-5921	35	23	with	with	ADP
ejpam-5921	35	24	support	support	NOUN
ejpam-5921	35	25	on	on	ADP
ejpam-5921	35	26	[	[	X
ejpam-5921	35	27	0	0	NUM
ejpam-5921	35	28	,	,	PUNCT
ejpam-5921	35	29	1	1	NUM
ejpam-5921	35	30	]	]	PUNCT
ejpam-5921	35	31	,	,	PUNCT
ejpam-5921	35	32	particularly	particularly	ADV
ejpam-5921	35	33	those	those	DET
ejpam-5921	35	34	data	datum	NOUN
ejpam-5921	35	35	that	that	PRON
ejpam-5921	35	36	follow	follow	VERB
ejpam-5921	35	37	the	the	DET
ejpam-5921	35	38	bathtub	bathtub	NOUN
ejpam-5921	35	39	,	,	PUNCT
ejpam-5921	35	40	the	the	DET
ejpam-5921	35	41	inverted	inverted	ADJ
ejpam-5921	35	42	bathtub	bathtub	NOUN
ejpam-5921	35	43	,	,	PUNCT
ejpam-5921	35	44	and	and	CCONJ
ejpam-5921	35	45	constant	constant	ADJ
ejpam-5921	35	46	behavior	behavior	NOUN
ejpam-5921	35	47	.	.	PUNCT
ejpam-5921	36	1	lakibul	lakibul	PROPN
ejpam-5921	36	2	,	,	PUNCT
ejpam-5921	36	3	polestico	polestico	NOUN
ejpam-5921	36	4	and	and	CCONJ
ejpam-5921	36	5	supe	supe	PROPN
ejpam-5921	37	1	[	[	X
ejpam-5921	37	2	12	12	NUM
ejpam-5921	37	3	]	]	PUNCT
ejpam-5921	37	4	expanded	expand	VERB
ejpam-5921	37	5	the	the	DET
ejpam-5921	37	6	esu	esu	NOUN
ejpam-5921	37	7	distribution	distribution	NOUN
ejpam-5921	37	8	into	into	ADP
ejpam-5921	37	9	the	the	DET
ejpam-5921	37	10	bivariate	bivariate	ADJ
ejpam-5921	37	11	extended	extend	VERB
ejpam-5921	37	12	standard	standard	ADJ
ejpam-5921	37	13	u	u	ADJ
ejpam-5921	37	14	-	-	ADJ
ejpam-5921	37	15	quadratic	quadratic	ADJ
ejpam-5921	37	16	distribution	distribution	NOUN
ejpam-5921	37	17	(	(	PUNCT
ejpam-5921	37	18	besu	besu	NOUN
ejpam-5921	37	19	)	)	PUNCT
ejpam-5921	37	20	,	,	PUNCT
ejpam-5921	37	21	and	and	CCONJ
ejpam-5921	37	22	it	it	PRON
ejpam-5921	37	23	is	be	AUX
ejpam-5921	37	24	define	define	NOUN
ejpam-5921	37	25	in	in	ADP
ejpam-5921	37	26	the	the	DET
ejpam-5921	37	27	following	follow	VERB
ejpam-5921	37	28	statement	statement	NOUN
ejpam-5921	37	29	.	.	PUNCT
ejpam-5921	38	1	a	a	DET
ejpam-5921	38	2	bivariate	bivariate	ADJ
ejpam-5921	38	3	random	random	ADJ
ejpam-5921	38	4	vector	vector	NOUN
ejpam-5921	38	5	(	(	PUNCT
ejpam-5921	38	6	x	x	X
ejpam-5921	38	7	,	,	PUNCT
ejpam-5921	38	8	y	y	PROPN
ejpam-5921	38	9	)	)	PUNCT
ejpam-5921	38	10	is	be	AUX
ejpam-5921	38	11	said	say	VERB
ejpam-5921	38	12	to	to	PART
ejpam-5921	38	13	have	have	VERB
ejpam-5921	38	14	a	a	DET
ejpam-5921	38	15	bivariate	bivariate	ADJ
ejpam-5921	38	16	extended	extended	ADJ
ejpam-5921	38	17	standard	standard	ADJ
ejpam-5921	38	18	uquadratic	uquadratic	ADJ
ejpam-5921	38	19	(	(	PUNCT
ejpam-5921	38	20	besu	besu	NOUN
ejpam-5921	38	21	)	)	PUNCT
ejpam-5921	38	22	distribution	distribution	NOUN
ejpam-5921	38	23	if	if	SCONJ
ejpam-5921	38	24	the	the	DET
ejpam-5921	38	25	joint	joint	ADJ
ejpam-5921	38	26	pdf	pdf	NOUN
ejpam-5921	38	27	of	of	ADP
ejpam-5921	38	28	x	x	PUNCT
ejpam-5921	38	29	and	and	CCONJ
ejpam-5921	38	30	y	y	PROPN
ejpam-5921	38	31	is	be	AUX
ejpam-5921	38	32	given	give	VERB
ejpam-5921	38	33	by	by	ADP
ejpam-5921	38	34	f(x	f(x	PROPN
ejpam-5921	38	35	,	,	PUNCT
ejpam-5921	38	36	y	y	NOUN
ejpam-5921	38	37	)	)	PUNCT
ejpam-5921	38	38	=	=	PUNCT
ejpam-5921	39	1	[	[	PUNCT
ejpam-5921	39	2	1.5−	1.5−	NUM
ejpam-5921	39	3	1.5x+	1.5x+	NUM
ejpam-5921	39	4	3(1.5x−	3(1.5x−	NUM
ejpam-5921	39	5	0.5)(2y	0.5)(2y	NOUN
ejpam-5921	39	6	−	−	PROPN
ejpam-5921	39	7	1)2	1)2	NUM
ejpam-5921	39	8	]	]	PUNCT
ejpam-5921	39	9	[	[	PUNCT
ejpam-5921	39	10	1−	1−	NUM
ejpam-5921	39	11	λ+	λ+	PUNCT
ejpam-5921	39	12	3λ(2x−	3λ(2x−	NUM
ejpam-5921	39	13	1)2	1)2	NUM
ejpam-5921	39	14	]	]	PUNCT
ejpam-5921	39	15	,	,	PUNCT
ejpam-5921	39	16	(	(	PUNCT
ejpam-5921	39	17	2	2	X
ejpam-5921	39	18	)	)	PUNCT
ejpam-5921	39	19	where	where	SCONJ
ejpam-5921	39	20	0	0	NUM
ejpam-5921	39	21	≤	≤	NOUN
ejpam-5921	39	22	(	(	PUNCT
ejpam-5921	39	23	x	x	X
ejpam-5921	39	24	,	,	PUNCT
ejpam-5921	39	25	y	y	NOUN
ejpam-5921	39	26	)	)	PUNCT
ejpam-5921	39	27	≤	≤	NOUN
ejpam-5921	39	28	1	1	NUM
ejpam-5921	39	29	and	and	CCONJ
ejpam-5921	39	30	λ	λ	X
ejpam-5921	39	31	∈	∈	PROPN
ejpam-5921	40	1	[	[	X
ejpam-5921	40	2	−0.5	−0.5	PROPN
ejpam-5921	40	3	,	,	PUNCT
ejpam-5921	40	4	1	1	NUM
ejpam-5921	40	5	]	]	PUNCT
ejpam-5921	40	6	.	.	PUNCT
ejpam-5921	41	1	it	it	PRON
ejpam-5921	41	2	was	be	AUX
ejpam-5921	41	3	observed	observe	VERB
ejpam-5921	41	4	that	that	SCONJ
ejpam-5921	41	5	this	this	DET
ejpam-5921	41	6	besu	besu	NOUN
ejpam-5921	41	7	distribution	distribution	NOUN
ejpam-5921	41	8	can	can	AUX
ejpam-5921	41	9	describe	describe	VERB
ejpam-5921	41	10	three	three	NUM
ejpam-5921	41	11	different	different	ADJ
ejpam-5921	41	12	types	type	NOUN
ejpam-5921	41	13	of	of	ADP
ejpam-5921	41	14	bivariate	bivariate	ADJ
ejpam-5921	41	15	shapes	shape	NOUN
ejpam-5921	41	16	,	,	PUNCT
ejpam-5921	41	17	namely	namely	ADV
ejpam-5921	41	18	,	,	PUNCT
ejpam-5921	41	19	x	x	PUNCT
ejpam-5921	41	20	and	and	CCONJ
ejpam-5921	41	21	y	y	PROPN
ejpam-5921	41	22	have	have	VERB
ejpam-5921	41	23	bathtub	bathtub	NOUN
ejpam-5921	41	24	shapes	shape	NOUN
ejpam-5921	41	25	,	,	PUNCT
ejpam-5921	41	26	x	x	PRON
ejpam-5921	41	27	has	have	VERB
ejpam-5921	41	28	a	a	DET
ejpam-5921	41	29	constant	constant	ADJ
ejpam-5921	41	30	distribution	distribution	NOUN
ejpam-5921	41	31	and	and	CCONJ
ejpam-5921	41	32	y	y	PROPN
ejpam-5921	41	33	has	have	VERB
ejpam-5921	41	34	a	a	DET
ejpam-5921	41	35	bathtub	bathtub	ADJ
ejpam-5921	41	36	shape	shape	NOUN
ejpam-5921	41	37	,	,	PUNCT
ejpam-5921	41	38	and	and	CCONJ
ejpam-5921	41	39	x	x	PRON
ejpam-5921	41	40	has	have	VERB
ejpam-5921	41	41	an	an	DET
ejpam-5921	41	42	inverted	inverted	ADJ
ejpam-5921	41	43	bathtub	bathtub	NOUN
ejpam-5921	42	1	and	and	CCONJ
ejpam-5921	42	2	y	y	PROPN
ejpam-5921	42	3	has	have	VERB
ejpam-5921	42	4	a	a	DET
ejpam-5921	42	5	bathtub	bathtub	ADJ
ejpam-5921	42	6	shape	shape	NOUN
ejpam-5921	42	7	.	.	PUNCT
ejpam-5921	43	1	however	however	ADV
ejpam-5921	43	2	,	,	PUNCT
ejpam-5921	43	3	this	this	DET
ejpam-5921	43	4	distribution	distribution	NOUN
ejpam-5921	43	5	can	can	AUX
ejpam-5921	43	6	not	not	PART
ejpam-5921	43	7	model	model	VERB
ejpam-5921	43	8	the	the	DET
ejpam-5921	43	9	bivariate	bivariate	ADJ
ejpam-5921	43	10	shape	shape	NOUN
ejpam-5921	43	11	distribution	distribution	NOUN
ejpam-5921	43	12	with	with	ADP
ejpam-5921	43	13	the	the	DET
ejpam-5921	43	14	following	follow	VERB
ejpam-5921	43	15	properties	property	NOUN
ejpam-5921	43	16	:	:	PUNCT
ejpam-5921	43	17	(	(	PUNCT
ejpam-5921	43	18	i	i	NOUN
ejpam-5921	43	19	)	)	PUNCT
ejpam-5921	43	20	x	x	PUNCT
ejpam-5921	43	21	and	and	CCONJ
ejpam-5921	43	22	y	y	PROPN
ejpam-5921	43	23	have	have	AUX
ejpam-5921	43	24	inverted	invert	VERB
ejpam-5921	43	25	bathtub	bathtub	ADJ
ejpam-5921	43	26	shapes	shape	NOUN
ejpam-5921	43	27	;	;	PUNCT
ejpam-5921	43	28	(	(	PUNCT
ejpam-5921	43	29	ii	ii	NOUN
ejpam-5921	43	30	)	)	PUNCT
ejpam-5921	43	31	x	x	NOUN
ejpam-5921	43	32	and	and	CCONJ
ejpam-5921	43	33	y	y	PROPN
ejpam-5921	43	34	have	have	VERB
ejpam-5921	43	35	constant	constant	ADJ
ejpam-5921	43	36	shapes	shape	NOUN
ejpam-5921	43	37	;	;	PUNCT
ejpam-5921	43	38	and	and	CCONJ
ejpam-5921	43	39	(	(	PUNCT
ejpam-5921	43	40	iii	iii	X
ejpam-5921	43	41	)	)	PUNCT
ejpam-5921	43	42	x	x	PUNCT
ejpam-5921	43	43	has	have	VERB
ejpam-5921	43	44	a	a	DET
ejpam-5921	43	45	constant	constant	ADJ
ejpam-5921	43	46	distribution	distribution	NOUN
ejpam-5921	43	47	and	and	CCONJ
ejpam-5921	43	48	y	y	PROPN
ejpam-5921	43	49	has	have	AUX
ejpam-5921	43	50	inverted	invert	VERB
ejpam-5921	43	51	i.	i.	PROPN
ejpam-5921	43	52	a.	a.	PROPN
ejpam-5921	43	53	lakibul	lakibul	PROPN
ejpam-5921	43	54	,	,	PUNCT
ejpam-5921	43	55	d.	d.	PROPN
ejpam-5921	43	56	l.	l.	PROPN
ejpam-5921	43	57	polestico	polestico	PROPN
ejpam-5921	43	58	,	,	PUNCT
ejpam-5921	43	59	a.	a.	PROPN
ejpam-5921	43	60	p.	p.	NOUN
ejpam-5921	43	61	supe	supe	PROPN
ejpam-5921	43	62	/	/	SYM
ejpam-5921	43	63	eur	eur	PROPN
ejpam-5921	43	64	.	.	PUNCT
ejpam-5921	44	1	j.	j.	PROPN
ejpam-5921	44	2	pure	pure	PROPN
ejpam-5921	44	3	appl	appl	PROPN
ejpam-5921	44	4	.	.	PROPN
ejpam-5921	44	5	math	math	PROPN
ejpam-5921	44	6	,	,	PUNCT
ejpam-5921	44	7	18	18	NUM
ejpam-5921	44	8	(	(	PUNCT
ejpam-5921	44	9	3	3	NUM
ejpam-5921	44	10	)	)	PUNCT
ejpam-5921	44	11	(	(	PUNCT
ejpam-5921	44	12	2025	2025	NUM
ejpam-5921	44	13	)	)	PUNCT
ejpam-5921	44	14	,	,	PUNCT
ejpam-5921	44	15	5921	5921	NUM
ejpam-5921	44	16	3	3	NUM
ejpam-5921	44	17	of	of	ADP
ejpam-5921	44	18	24	24	NUM
ejpam-5921	44	19	shape	shape	NOUN
ejpam-5921	44	20	.	.	PUNCT
ejpam-5921	45	1	in	in	ADP
ejpam-5921	45	2	this	this	DET
ejpam-5921	45	3	paper	paper	NOUN
ejpam-5921	45	4	,	,	PUNCT
ejpam-5921	45	5	we	we	PRON
ejpam-5921	45	6	will	will	AUX
ejpam-5921	45	7	use	use	VERB
ejpam-5921	45	8	the	the	DET
ejpam-5921	45	9	idea	idea	NOUN
ejpam-5921	45	10	of	of	ADP
ejpam-5921	45	11	shahbaz	shahbaz	PROPN
ejpam-5921	45	12	et	et	PROPN
ejpam-5921	45	13	al	al	PROPN
ejpam-5921	45	14	.	.	PUNCT
ejpam-5921	46	1	[	[	X
ejpam-5921	46	2	2	2	X
ejpam-5921	46	3	]	]	PUNCT
ejpam-5921	46	4	to	to	PART
ejpam-5921	46	5	generalize	generalize	VERB
ejpam-5921	46	6	the	the	DET
ejpam-5921	46	7	extended	extended	ADJ
ejpam-5921	46	8	standard	standard	ADJ
ejpam-5921	46	9	bivariate	bivariate	ADJ
ejpam-5921	46	10	u	u	ADJ
ejpam-5921	46	11	-	-	ADJ
ejpam-5921	46	12	quadratic	quadratic	ADJ
ejpam-5921	46	13	distribution	distribution	NOUN
ejpam-5921	46	14	by	by	ADP
ejpam-5921	46	15	adding	add	VERB
ejpam-5921	46	16	an	an	DET
ejpam-5921	46	17	additional	additional	ADJ
ejpam-5921	46	18	parameter	parameter	NOUN
ejpam-5921	46	19	to	to	ADP
ejpam-5921	46	20	it	it	PRON
ejpam-5921	46	21	to	to	PART
ejpam-5921	46	22	accommodate	accommodate	VERB
ejpam-5921	46	23	other	other	ADJ
ejpam-5921	46	24	combinations	combination	NOUN
ejpam-5921	46	25	of	of	ADP
ejpam-5921	46	26	the	the	DET
ejpam-5921	46	27	bivariate	bivariate	ADJ
ejpam-5921	46	28	shape	shape	NOUN
ejpam-5921	46	29	distribution	distribution	NOUN
ejpam-5921	46	30	.	.	PUNCT
ejpam-5921	47	1	we	we	PRON
ejpam-5921	47	2	will	will	AUX
ejpam-5921	47	3	also	also	ADV
ejpam-5921	47	4	derive	derive	VERB
ejpam-5921	47	5	some	some	DET
ejpam-5921	47	6	properties	property	NOUN
ejpam-5921	47	7	of	of	ADP
ejpam-5921	47	8	the	the	DET
ejpam-5921	47	9	proposed	propose	VERB
ejpam-5921	47	10	generalized	generalized	ADJ
ejpam-5921	47	11	distribution	distribution	NOUN
ejpam-5921	47	12	such	such	ADJ
ejpam-5921	47	13	as	as	ADP
ejpam-5921	47	14	the	the	DET
ejpam-5921	47	15	marginal	marginal	ADJ
ejpam-5921	47	16	distribution	distribution	NOUN
ejpam-5921	47	17	,	,	PUNCT
ejpam-5921	47	18	conditional	conditional	ADJ
ejpam-5921	47	19	distribution	distribution	NOUN
ejpam-5921	47	20	,	,	PUNCT
ejpam-5921	47	21	conditional	conditional	ADJ
ejpam-5921	47	22	moments	moment	NOUN
ejpam-5921	47	23	,	,	PUNCT
ejpam-5921	47	24	conditional	conditional	ADJ
ejpam-5921	47	25	mean	mean	NOUN
ejpam-5921	47	26	,	,	PUNCT
ejpam-5921	47	27	conditional	conditional	ADJ
ejpam-5921	47	28	variance	variance	NOUN
ejpam-5921	47	29	,	,	PUNCT
ejpam-5921	47	30	product	product	NOUN
ejpam-5921	47	31	and	and	CCONJ
ejpam-5921	47	32	ratio	ratio	NOUN
ejpam-5921	47	33	moments	moment	NOUN
ejpam-5921	47	34	,	,	PUNCT
ejpam-5921	47	35	pearson	pearson	PROPN
ejpam-5921	47	36	correlation	correlation	NOUN
ejpam-5921	47	37	coefficient	coefficient	NOUN
ejpam-5921	47	38	,	,	PUNCT
ejpam-5921	47	39	joint	joint	ADJ
ejpam-5921	47	40	moment	moment	NOUN
ejpam-5921	47	41	generating	generate	VERB
ejpam-5921	47	42	function	function	NOUN
ejpam-5921	47	43	,	,	PUNCT
ejpam-5921	47	44	kendall	kendall	PROPN
ejpam-5921	47	45	’s	’s	PART
ejpam-5921	47	46	tau	tau	PROPN
ejpam-5921	47	47	coefficient	coefficient	NOUN
ejpam-5921	47	48	,	,	PUNCT
ejpam-5921	47	49	spearman	spearman	NOUN
ejpam-5921	47	50	’s	’s	PART
ejpam-5921	47	51	rho	rho	NOUN
ejpam-5921	47	52	,	,	PUNCT
ejpam-5921	47	53	and	and	CCONJ
ejpam-5921	47	54	the	the	DET
ejpam-5921	47	55	stress	stress	NOUN
ejpam-5921	47	56	strength	strength	NOUN
ejpam-5921	47	57	parameter	parameter	NOUN
ejpam-5921	47	58	.	.	PUNCT
ejpam-5921	48	1	observation	observation	NOUN
ejpam-5921	48	2	on	on	ADP
ejpam-5921	48	3	the	the	DET
ejpam-5921	48	4	performance	performance	NOUN
ejpam-5921	48	5	of	of	ADP
ejpam-5921	48	6	the	the	DET
ejpam-5921	48	7	proposed	propose	VERB
ejpam-5921	48	8	generalized	generalize	VERB
ejpam-5921	48	9	distribution	distribution	NOUN
ejpam-5921	48	10	is	be	AUX
ejpam-5921	48	11	done	do	VERB
ejpam-5921	48	12	by	by	ADP
ejpam-5921	48	13	applying	apply	VERB
ejpam-5921	48	14	it	it	PRON
ejpam-5921	48	15	on	on	ADP
ejpam-5921	48	16	a	a	DET
ejpam-5921	48	17	simulated	simulate	VERB
ejpam-5921	48	18	dataset	dataset	NOUN
ejpam-5921	48	19	.	.	PUNCT
ejpam-5921	49	1	the	the	DET
ejpam-5921	49	2	rest	rest	NOUN
ejpam-5921	49	3	of	of	ADP
ejpam-5921	49	4	the	the	DET
ejpam-5921	49	5	paper	paper	NOUN
ejpam-5921	49	6	is	be	AUX
ejpam-5921	49	7	structured	structure	VERB
ejpam-5921	49	8	as	as	SCONJ
ejpam-5921	49	9	follows	follow	VERB
ejpam-5921	49	10	:	:	PUNCT
ejpam-5921	49	11	section	section	NOUN
ejpam-5921	49	12	2	2	NUM
ejpam-5921	49	13	presents	present	VERB
ejpam-5921	49	14	the	the	DET
ejpam-5921	49	15	construction	construction	NOUN
ejpam-5921	49	16	of	of	ADP
ejpam-5921	49	17	the	the	DET
ejpam-5921	49	18	proposed	propose	VERB
ejpam-5921	49	19	generalized	generalized	ADJ
ejpam-5921	49	20	bivariate	bivariate	ADJ
ejpam-5921	49	21	extended	extend	VERB
ejpam-5921	49	22	standard	standard	ADJ
ejpam-5921	49	23	u	u	ADJ
ejpam-5921	49	24	-	-	ADJ
ejpam-5921	49	25	quadratic	quadratic	ADJ
ejpam-5921	49	26	distribution	distribution	NOUN
ejpam-5921	49	27	.	.	PUNCT
ejpam-5921	50	1	section	section	NOUN
ejpam-5921	50	2	3	3	NUM
ejpam-5921	50	3	provides	provide	VERB
ejpam-5921	50	4	derivations	derivation	NOUN
ejpam-5921	50	5	of	of	ADP
ejpam-5921	50	6	some	some	DET
ejpam-5921	50	7	properties	property	NOUN
ejpam-5921	50	8	of	of	ADP
ejpam-5921	50	9	the	the	DET
ejpam-5921	50	10	proposed	propose	VERB
ejpam-5921	50	11	generalized	generalized	ADJ
ejpam-5921	50	12	besu	besu	NOUN
ejpam-5921	50	13	distribution	distribution	NOUN
ejpam-5921	50	14	.	.	PUNCT
ejpam-5921	51	1	section	section	NOUN
ejpam-5921	51	2	4	4	NUM
ejpam-5921	51	3	discusses	discuss	VERB
ejpam-5921	51	4	the	the	DET
ejpam-5921	51	5	maximum	maximum	ADJ
ejpam-5921	51	6	likelihood	likelihood	NOUN
ejpam-5921	51	7	estimation	estimation	NOUN
ejpam-5921	51	8	for	for	ADP
ejpam-5921	51	9	estimating	estimate	VERB
ejpam-5921	51	10	the	the	DET
ejpam-5921	51	11	parameter	parameter	NOUN
ejpam-5921	51	12	of	of	ADP
ejpam-5921	51	13	the	the	DET
ejpam-5921	51	14	proposed	propose	VERB
ejpam-5921	51	15	bivariate	bivariate	ADJ
ejpam-5921	51	16	distribution	distribution	NOUN
ejpam-5921	51	17	.	.	PUNCT
ejpam-5921	52	1	section	section	NOUN
ejpam-5921	52	2	5	5	NUM
ejpam-5921	52	3	deals	deal	NOUN
ejpam-5921	52	4	with	with	ADP
ejpam-5921	52	5	the	the	DET
ejpam-5921	52	6	random	random	ADJ
ejpam-5921	52	7	number	number	NOUN
ejpam-5921	52	8	generation	generation	NOUN
ejpam-5921	52	9	of	of	ADP
ejpam-5921	52	10	the	the	DET
ejpam-5921	52	11	proposed	propose	VERB
ejpam-5921	52	12	bivariate	bivariate	ADJ
ejpam-5921	52	13	distribution	distribution	NOUN
ejpam-5921	52	14	.	.	PUNCT
ejpam-5921	53	1	section	section	NOUN
ejpam-5921	53	2	6	6	NUM
ejpam-5921	53	3	presents	present	VERB
ejpam-5921	53	4	the	the	DET
ejpam-5921	53	5	simulation	simulation	NOUN
ejpam-5921	53	6	results	result	VERB
ejpam-5921	53	7	for	for	ADP
ejpam-5921	53	8	assessing	assess	VERB
ejpam-5921	53	9	the	the	DET
ejpam-5921	53	10	behavior	behavior	NOUN
ejpam-5921	53	11	of	of	ADP
ejpam-5921	53	12	the	the	DET
ejpam-5921	53	13	maximum	maximum	ADJ
ejpam-5921	53	14	likelihood	likelihood	NOUN
ejpam-5921	53	15	estimate	estimate	NOUN
ejpam-5921	53	16	of	of	ADP
ejpam-5921	53	17	the	the	DET
ejpam-5921	53	18	proposed	propose	VERB
ejpam-5921	53	19	bivariate	bivariate	ADJ
ejpam-5921	53	20	distribution	distribution	NOUN
ejpam-5921	53	21	’s	’s	PART
ejpam-5921	53	22	parameter	parameter	NOUN
ejpam-5921	53	23	.	.	PUNCT
ejpam-5921	54	1	section	section	NOUN
ejpam-5921	54	2	7	7	NUM
ejpam-5921	54	3	presents	present	VERB
ejpam-5921	54	4	the	the	DET
ejpam-5921	54	5	application	application	NOUN
ejpam-5921	54	6	of	of	ADP
ejpam-5921	54	7	the	the	DET
ejpam-5921	54	8	proposed	propose	VERB
ejpam-5921	54	9	bivariate	bivariate	ADJ
ejpam-5921	54	10	distribution	distribution	NOUN
ejpam-5921	54	11	on	on	ADP
ejpam-5921	54	12	a	a	DET
ejpam-5921	54	13	simulated	simulate	VERB
ejpam-5921	54	14	dataset	dataset	NOUN
ejpam-5921	54	15	.	.	PUNCT
ejpam-5921	55	1	section	section	NOUN
ejpam-5921	55	2	8	8	NUM
ejpam-5921	55	3	gives	give	VERB
ejpam-5921	55	4	some	some	DET
ejpam-5921	55	5	concluding	conclude	VERB
ejpam-5921	55	6	remarks	remark	NOUN
ejpam-5921	55	7	about	about	ADP
ejpam-5921	55	8	the	the	DET
ejpam-5921	55	9	paper	paper	NOUN
ejpam-5921	55	10	and	and	CCONJ
ejpam-5921	55	11	recommendations	recommendation	NOUN
ejpam-5921	55	12	for	for	ADP
ejpam-5921	55	13	future	future	ADJ
ejpam-5921	55	14	studies	study	NOUN
ejpam-5921	55	15	.	.	PUNCT
ejpam-5921	56	1	2	2	X
ejpam-5921	56	2	.	.	X
ejpam-5921	56	3	the	the	DET
ejpam-5921	56	4	ρ	ρ	PROPN
ejpam-5921	56	5	bivariate	bivariate	ADJ
ejpam-5921	56	6	extended	extend	VERB
ejpam-5921	56	7	standard	standard	ADJ
ejpam-5921	56	8	u	u	ADJ
ejpam-5921	56	9	-	-	ADJ
ejpam-5921	56	10	quadratic	quadratic	ADJ
ejpam-5921	56	11	distribution	distribution	NOUN
ejpam-5921	56	12	this	this	DET
ejpam-5921	56	13	section	section	NOUN
ejpam-5921	56	14	presents	present	VERB
ejpam-5921	56	15	the	the	DET
ejpam-5921	56	16	derivation	derivation	NOUN
ejpam-5921	56	17	of	of	ADP
ejpam-5921	56	18	the	the	DET
ejpam-5921	56	19	generalized	generalize	VERB
ejpam-5921	56	20	bivariate	bivariate	ADJ
ejpam-5921	56	21	esu	esu	NOUN
ejpam-5921	56	22	distribution	distribution	NOUN
ejpam-5921	56	23	called	call	VERB
ejpam-5921	56	24	as	as	ADP
ejpam-5921	56	25	the	the	DET
ejpam-5921	56	26	ρ	ρ	NUM
ejpam-5921	56	27	bivariate	bivariate	ADJ
ejpam-5921	56	28	extended	extend	VERB
ejpam-5921	56	29	standard	standard	ADJ
ejpam-5921	56	30	u	u	NOUN
ejpam-5921	56	31	-	-	NOUN
ejpam-5921	56	32	quadratic	quadratic	ADJ
ejpam-5921	56	33	(	(	PUNCT
ejpam-5921	56	34	ρ	ρ	NOUN
ejpam-5921	56	35	-	-	PUNCT
ejpam-5921	56	36	besu	besu	ADJ
ejpam-5921	56	37	)	)	PUNCT
ejpam-5921	56	38	distribution	distribution	NOUN
ejpam-5921	56	39	.	.	PUNCT
ejpam-5921	57	1	letx	letx	PROPN
ejpam-5921	57	2	be	be	AUX
ejpam-5921	57	3	a	a	DET
ejpam-5921	57	4	random	random	ADJ
ejpam-5921	57	5	variable	variable	NOUN
ejpam-5921	57	6	that	that	PRON
ejpam-5921	57	7	follows	follow	VERB
ejpam-5921	57	8	an	an	DET
ejpam-5921	57	9	extended	extended	ADJ
ejpam-5921	57	10	standard	standard	ADJ
ejpam-5921	57	11	u	u	ADJ
ejpam-5921	57	12	-	-	ADJ
ejpam-5921	57	13	quadratic	quadratic	ADJ
ejpam-5921	57	14	distribution	distribution	NOUN
ejpam-5921	57	15	with	with	ADP
ejpam-5921	57	16	pdf	pdf	NOUN
ejpam-5921	57	17	given	give	VERB
ejpam-5921	57	18	in	in	ADP
ejpam-5921	57	19	equation	equation	NOUN
ejpam-5921	57	20	(	(	PUNCT
ejpam-5921	57	21	1	1	NUM
ejpam-5921	57	22	)	)	PUNCT
ejpam-5921	57	23	.	.	PUNCT
ejpam-5921	58	1	let	let	VERB
ejpam-5921	58	2	y	y	PRON
ejpam-5921	58	3	be	be	AUX
ejpam-5921	58	4	another	another	DET
ejpam-5921	58	5	random	random	ADJ
ejpam-5921	58	6	variable	variable	NOUN
ejpam-5921	58	7	such	such	ADJ
ejpam-5921	58	8	that	that	SCONJ
ejpam-5921	58	9	the	the	DET
ejpam-5921	58	10	conditional	conditional	ADJ
ejpam-5921	58	11	probability	probability	NOUN
ejpam-5921	58	12	density	density	NOUN
ejpam-5921	58	13	function	function	NOUN
ejpam-5921	58	14	of	of	ADP
ejpam-5921	58	15	y	y	PROPN
ejpam-5921	58	16	given	give	VERB
ejpam-5921	58	17	x	x	PUNCT
ejpam-5921	58	18	=	=	PUNCT
ejpam-5921	58	19	x	x	PRON
ejpam-5921	58	20	follows	follow	VERB
ejpam-5921	58	21	an	an	DET
ejpam-5921	58	22	extended	extended	ADJ
ejpam-5921	58	23	standard	standard	ADJ
ejpam-5921	58	24	u	u	ADJ
ejpam-5921	58	25	-	-	ADJ
ejpam-5921	58	26	quadratic	quadratic	ADJ
ejpam-5921	58	27	distribution	distribution	NOUN
ejpam-5921	58	28	,	,	PUNCT
ejpam-5921	58	29	that	that	ADV
ejpam-5921	58	30	is	is	ADV
ejpam-5921	58	31	,	,	PUNCT
ejpam-5921	58	32	f(y|x	f(y|x	NOUN
ejpam-5921	58	33	)	)	PUNCT
ejpam-5921	58	34	=	=	SYM
ejpam-5921	59	1	1−	1−	NUM
ejpam-5921	59	2	v(x	v(x	NOUN
ejpam-5921	59	3	)	)	PUNCT
ejpam-5921	60	1	+	+	CCONJ
ejpam-5921	61	1	3v(x)(2y	3v(x)(2y	PROPN
ejpam-5921	61	2	−	−	PROPN
ejpam-5921	62	1	1)2	1)2	NUM
ejpam-5921	62	2	,	,	PUNCT
ejpam-5921	62	3	y	y	PROPN
ejpam-5921	62	4	∈	∈	PROPN
ejpam-5921	63	1	[	[	X
ejpam-5921	63	2	0	0	NUM
ejpam-5921	63	3	,	,	PUNCT
ejpam-5921	63	4	1	1	NUM
ejpam-5921	63	5	]	]	PUNCT
ejpam-5921	63	6	,	,	PUNCT
ejpam-5921	63	7	(	(	PUNCT
ejpam-5921	63	8	3	3	X
ejpam-5921	63	9	)	)	PUNCT
ejpam-5921	63	10	where	where	SCONJ
ejpam-5921	63	11	v(x	v(x	NOUN
ejpam-5921	63	12	)	)	PUNCT
ejpam-5921	63	13	∈	∈	PROPN
ejpam-5921	64	1	[	[	X
ejpam-5921	64	2	−0.5	−0.5	PROPN
ejpam-5921	64	3	,	,	PUNCT
ejpam-5921	64	4	1	1	NUM
ejpam-5921	64	5	]	]	PUNCT
ejpam-5921	64	6	.	.	PUNCT
ejpam-5921	65	1	following	follow	VERB
ejpam-5921	65	2	the	the	DET
ejpam-5921	65	3	idea	idea	NOUN
ejpam-5921	65	4	of	of	ADP
ejpam-5921	65	5	shahbaz	shahbaz	PROPN
ejpam-5921	65	6	[	[	X
ejpam-5921	65	7	2	2	NUM
ejpam-5921	65	8	]	]	PUNCT
ejpam-5921	65	9	and	and	CCONJ
ejpam-5921	65	10	by	by	ADP
ejpam-5921	65	11	the	the	DET
ejpam-5921	65	12	definition	definition	NOUN
ejpam-5921	65	13	of	of	ADP
ejpam-5921	65	14	the	the	DET
ejpam-5921	65	15	conditional	conditional	ADJ
ejpam-5921	65	16	probability	probability	NOUN
ejpam-5921	65	17	,	,	PUNCT
ejpam-5921	65	18	the	the	DET
ejpam-5921	65	19	joint	joint	ADJ
ejpam-5921	65	20	probability	probability	NOUN
ejpam-5921	65	21	distribution	distribution	NOUN
ejpam-5921	65	22	function	function	NOUN
ejpam-5921	65	23	of	of	ADP
ejpam-5921	65	24	x	x	PUNCT
ejpam-5921	65	25	and	and	CCONJ
ejpam-5921	65	26	y	y	PROPN
ejpam-5921	65	27	is	be	AUX
ejpam-5921	65	28	given	give	VERB
ejpam-5921	65	29	by	by	ADP
ejpam-5921	65	30	f(x	f(x	PROPN
ejpam-5921	65	31	,	,	PUNCT
ejpam-5921	65	32	y	y	NOUN
ejpam-5921	65	33	)	)	PUNCT
ejpam-5921	65	34	=	=	SYM
ejpam-5921	65	35	f(y|x)f(x	f(y|x)f(x	PROPN
ejpam-5921	65	36	)	)	PUNCT
ejpam-5921	65	37	=	=	PUNCT
ejpam-5921	66	1	[	[	PUNCT
ejpam-5921	66	2	1−	1−	NUM
ejpam-5921	66	3	v(x	v(x	NOUN
ejpam-5921	66	4	)	)	PUNCT
ejpam-5921	67	1	+	+	CCONJ
ejpam-5921	68	1	3v(x)(2y	3v(x)(2y	ADJ
ejpam-5921	68	2	−	−	PROPN
ejpam-5921	69	1	1)2	1)2	NUM
ejpam-5921	69	2	]	]	PUNCT
ejpam-5921	70	1	[	[	PUNCT
ejpam-5921	70	2	1−	1−	NUM
ejpam-5921	70	3	λ+	λ+	PUNCT
ejpam-5921	70	4	3λ(2x−	3λ(2x−	NUM
ejpam-5921	70	5	1)2	1)2	NUM
ejpam-5921	70	6	]	]	PUNCT
ejpam-5921	70	7	.	.	PUNCT
ejpam-5921	71	1	(	(	PUNCT
ejpam-5921	71	2	4	4	X
ejpam-5921	71	3	)	)	PUNCT
ejpam-5921	71	4	note	note	NOUN
ejpam-5921	71	5	that	that	SCONJ
ejpam-5921	71	6	v(x	v(x	NOUN
ejpam-5921	71	7	)	)	PUNCT
ejpam-5921	71	8	∈	∈	PROPN
ejpam-5921	72	1	[	[	X
ejpam-5921	72	2	−0.5	−0.5	PROPN
ejpam-5921	72	3	,	,	PUNCT
ejpam-5921	72	4	1	1	NUM
ejpam-5921	72	5	]	]	PUNCT
ejpam-5921	72	6	can	can	AUX
ejpam-5921	72	7	be	be	AUX
ejpam-5921	72	8	defined	define	VERB
ejpam-5921	72	9	in	in	ADP
ejpam-5921	72	10	many	many	ADJ
ejpam-5921	72	11	ways	way	NOUN
ejpam-5921	72	12	.	.	PUNCT
ejpam-5921	73	1	in	in	ADP
ejpam-5921	73	2	this	this	DET
ejpam-5921	73	3	paper	paper	NOUN
ejpam-5921	73	4	,	,	PUNCT
ejpam-5921	73	5	we	we	PRON
ejpam-5921	73	6	define	define	VERB
ejpam-5921	73	7	v(x	v(x	NOUN
ejpam-5921	73	8	)	)	PUNCT
ejpam-5921	74	1	=	=	PUNCT
ejpam-5921	75	1	1.5xρ	1.5xρ	NUM
ejpam-5921	75	2	−	−	NOUN
ejpam-5921	75	3	0.5	0.5	NUM
ejpam-5921	75	4	,	,	PUNCT
ejpam-5921	75	5	ρ	ρ	PROPN
ejpam-5921	75	6	≥	≥	NOUN
ejpam-5921	75	7	0	0	NUM
ejpam-5921	75	8	for	for	ADP
ejpam-5921	75	9	x	x	PROPN
ejpam-5921	75	10	∈	∈	PROPN
ejpam-5921	75	11	[	[	X
ejpam-5921	75	12	0	0	NUM
ejpam-5921	75	13	,	,	PUNCT
ejpam-5921	75	14	1	1	NUM
ejpam-5921	75	15	]	]	PUNCT
ejpam-5921	75	16	,	,	PUNCT
ejpam-5921	75	17	which	which	PRON
ejpam-5921	75	18	reduces	reduce	VERB
ejpam-5921	75	19	to	to	ADP
ejpam-5921	75	20	v(x	v(x	PROPN
ejpam-5921	75	21	)	)	PUNCT
ejpam-5921	75	22	defined	define	VERB
ejpam-5921	75	23	in	in	ADP
ejpam-5921	75	24	the	the	DET
ejpam-5921	75	25	construction	construction	NOUN
ejpam-5921	75	26	of	of	ADP
ejpam-5921	75	27	the	the	DET
ejpam-5921	75	28	simple	simple	ADJ
ejpam-5921	75	29	besu	besu	NOUN
ejpam-5921	75	30	distribution	distribution	NOUN
ejpam-5921	75	31	,	,	PUNCT
ejpam-5921	75	32	when	when	SCONJ
ejpam-5921	75	33	ρ	ρ	PROPN
ejpam-5921	75	34	=	=	SYM
ejpam-5921	75	35	1	1	NUM
ejpam-5921	75	36	.	.	PUNCT
ejpam-5921	76	1	thus	thus	ADV
ejpam-5921	76	2	,	,	PUNCT
ejpam-5921	76	3	the	the	DET
ejpam-5921	76	4	joint	joint	ADJ
ejpam-5921	76	5	pdf	pdf	NOUN
ejpam-5921	76	6	of	of	ADP
ejpam-5921	76	7	x	x	PUNCT
ejpam-5921	76	8	and	and	CCONJ
ejpam-5921	76	9	y	y	PROPN
ejpam-5921	76	10	is	be	AUX
ejpam-5921	76	11	given	give	VERB
ejpam-5921	76	12	by	by	ADP
ejpam-5921	76	13	f(x	f(x	PROPN
ejpam-5921	76	14	,	,	PUNCT
ejpam-5921	76	15	y	y	NOUN
ejpam-5921	76	16	)	)	PUNCT
ejpam-5921	76	17	=	=	PUNCT
ejpam-5921	77	1	[	[	PUNCT
ejpam-5921	77	2	1−	1−	NUM
ejpam-5921	77	3	(	(	PUNCT
ejpam-5921	77	4	1.5xρ	1.5xρ	NUM
ejpam-5921	77	5	−	−	NOUN
ejpam-5921	77	6	0.5	0.5	NUM
ejpam-5921	77	7	)	)	PUNCT
ejpam-5921	77	8	+	+	CCONJ
ejpam-5921	78	1	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	78	2	−	−	NOUN
ejpam-5921	78	3	0.5)(2y	0.5)(2y	PRON
ejpam-5921	78	4	−	−	PROPN
ejpam-5921	78	5	1)2	1)2	NUM
ejpam-5921	78	6	]	]	PUNCT
ejpam-5921	79	1	[	[	PUNCT
ejpam-5921	79	2	1−	1−	NUM
ejpam-5921	79	3	λ+	λ+	PUNCT
ejpam-5921	79	4	3λ(2x−	3λ(2x−	NUM
ejpam-5921	79	5	1)2	1)2	NUM
ejpam-5921	79	6	]	]	PUNCT
ejpam-5921	80	1	=	=	PUNCT
ejpam-5921	80	2	[	[	PUNCT
ejpam-5921	80	3	1.5−	1.5−	NUM
ejpam-5921	80	4	1.5xρ	1.5xρ	NUM
ejpam-5921	80	5	+	+	CCONJ
ejpam-5921	81	1	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	81	2	−	−	NOUN
ejpam-5921	81	3	0.5)(2y	0.5)(2y	PRON
ejpam-5921	81	4	−	−	PROPN
ejpam-5921	81	5	1)2	1)2	NUM
ejpam-5921	81	6	]	]	PUNCT
ejpam-5921	82	1	[	[	PUNCT
ejpam-5921	82	2	1−	1−	NUM
ejpam-5921	82	3	λ+	λ+	PUNCT
ejpam-5921	82	4	3λ(2x−	3λ(2x−	NUM
ejpam-5921	82	5	1)2	1)2	NUM
ejpam-5921	82	6	]	]	PUNCT
ejpam-5921	82	7	.	.	PUNCT
ejpam-5921	83	1	(	(	PUNCT
ejpam-5921	83	2	5	5	X
ejpam-5921	83	3	)	)	PUNCT
ejpam-5921	83	4	i.	i.	NOUN
ejpam-5921	83	5	a.	a.	PROPN
ejpam-5921	83	6	lakibul	lakibul	PROPN
ejpam-5921	83	7	,	,	PUNCT
ejpam-5921	83	8	d.	d.	PROPN
ejpam-5921	83	9	l.	l.	PROPN
ejpam-5921	83	10	polestico	polestico	PROPN
ejpam-5921	83	11	,	,	PUNCT
ejpam-5921	83	12	a.	a.	PROPN
ejpam-5921	83	13	p.	p.	NOUN
ejpam-5921	83	14	supe	supe	PROPN
ejpam-5921	83	15	/	/	SYM
ejpam-5921	83	16	eur	eur	PROPN
ejpam-5921	83	17	.	.	PUNCT
ejpam-5921	84	1	j.	j.	PROPN
ejpam-5921	84	2	pure	pure	PROPN
ejpam-5921	84	3	appl	appl	PROPN
ejpam-5921	84	4	.	.	PROPN
ejpam-5921	84	5	math	math	PROPN
ejpam-5921	84	6	,	,	PUNCT
ejpam-5921	84	7	18	18	NUM
ejpam-5921	84	8	(	(	PUNCT
ejpam-5921	84	9	3	3	NUM
ejpam-5921	84	10	)	)	PUNCT
ejpam-5921	84	11	(	(	PUNCT
ejpam-5921	84	12	2025	2025	NUM
ejpam-5921	84	13	)	)	PUNCT
ejpam-5921	84	14	,	,	PUNCT
ejpam-5921	84	15	5921	5921	NUM
ejpam-5921	84	16	4	4	NUM
ejpam-5921	84	17	of	of	ADP
ejpam-5921	84	18	24	24	NUM
ejpam-5921	84	19	definition	definition	NOUN
ejpam-5921	84	20	1	1	NUM
ejpam-5921	84	21	.	.	PUNCT
ejpam-5921	85	1	a	a	DET
ejpam-5921	85	2	bivariate	bivariate	ADJ
ejpam-5921	85	3	random	random	ADJ
ejpam-5921	85	4	vector	vector	NOUN
ejpam-5921	85	5	(	(	PUNCT
ejpam-5921	85	6	x	x	X
ejpam-5921	85	7	,	,	PUNCT
ejpam-5921	85	8	y	y	PROPN
ejpam-5921	85	9	)	)	PUNCT
ejpam-5921	85	10	is	be	AUX
ejpam-5921	85	11	said	say	VERB
ejpam-5921	85	12	to	to	PART
ejpam-5921	85	13	have	have	VERB
ejpam-5921	85	14	a	a	DET
ejpam-5921	85	15	ρ	ρ	NUM
ejpam-5921	85	16	bivariate	bivariate	ADJ
ejpam-5921	85	17	extended	extend	VERB
ejpam-5921	85	18	standard	standard	ADJ
ejpam-5921	85	19	u	u	NOUN
ejpam-5921	85	20	-	-	NOUN
ejpam-5921	85	21	quadratic	quadratic	ADJ
ejpam-5921	85	22	(	(	PUNCT
ejpam-5921	85	23	ρ	ρ	PROPN
ejpam-5921	85	24	besu	besu	NOUN
ejpam-5921	85	25	)	)	PUNCT
ejpam-5921	85	26	distribution	distribution	NOUN
ejpam-5921	85	27	if	if	SCONJ
ejpam-5921	85	28	the	the	DET
ejpam-5921	85	29	joint	joint	ADJ
ejpam-5921	85	30	pdf	pdf	NOUN
ejpam-5921	85	31	of	of	ADP
ejpam-5921	85	32	x	x	PUNCT
ejpam-5921	85	33	and	and	CCONJ
ejpam-5921	85	34	y	y	PROPN
ejpam-5921	85	35	is	be	AUX
ejpam-5921	85	36	given	give	VERB
ejpam-5921	85	37	by	by	ADP
ejpam-5921	85	38	f(x	f(x	PROPN
ejpam-5921	85	39	,	,	PUNCT
ejpam-5921	85	40	y	y	NOUN
ejpam-5921	85	41	)	)	PUNCT
ejpam-5921	85	42	=	=	PUNCT
ejpam-5921	86	1	[	[	PUNCT
ejpam-5921	86	2	1.5−	1.5−	NUM
ejpam-5921	86	3	1.5xρ	1.5xρ	NUM
ejpam-5921	86	4	+	+	CCONJ
ejpam-5921	86	5	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	86	6	−	−	NOUN
ejpam-5921	86	7	0.5)(2y	0.5)(2y	PRON
ejpam-5921	86	8	−	−	PROPN
ejpam-5921	86	9	1)2	1)2	NUM
ejpam-5921	86	10	]	]	PUNCT
ejpam-5921	87	1	[	[	PUNCT
ejpam-5921	87	2	1−	1−	NUM
ejpam-5921	87	3	λ+	λ+	PUNCT
ejpam-5921	87	4	3λ(2x−	3λ(2x−	NUM
ejpam-5921	87	5	1)2	1)2	NUM
ejpam-5921	87	6	]	]	PUNCT
ejpam-5921	87	7	,	,	PUNCT
ejpam-5921	87	8	(	(	PUNCT
ejpam-5921	87	9	6	6	NUM
ejpam-5921	87	10	)	)	PUNCT
ejpam-5921	88	1	where	where	SCONJ
ejpam-5921	88	2	0	0	NUM
ejpam-5921	88	3	≤	≤	NOUN
ejpam-5921	88	4	(	(	PUNCT
ejpam-5921	88	5	x	x	X
ejpam-5921	88	6	,	,	PUNCT
ejpam-5921	88	7	y	y	NOUN
ejpam-5921	88	8	)	)	PUNCT
ejpam-5921	88	9	≤	≤	NUM
ejpam-5921	88	10	1	1	NUM
ejpam-5921	88	11	,	,	PUNCT
ejpam-5921	88	12	ρ	ρ	PROPN
ejpam-5921	88	13	≥	≥	NOUN
ejpam-5921	88	14	0	0	NUM
ejpam-5921	88	15	and	and	CCONJ
ejpam-5921	88	16	λ	λ	PROPN
ejpam-5921	88	17	∈	∈	PROPN
ejpam-5921	88	18	[	[	X
ejpam-5921	88	19	−0.5	−0.5	PROPN
ejpam-5921	88	20	,	,	PUNCT
ejpam-5921	88	21	1	1	NUM
ejpam-5921	88	22	]	]	PUNCT
ejpam-5921	88	23	.	.	PUNCT
ejpam-5921	89	1	remark	remark	PROPN
ejpam-5921	89	2	1	1	NUM
ejpam-5921	89	3	.	.	PUNCT
ejpam-5921	90	1	if	if	SCONJ
ejpam-5921	90	2	ρ	ρ	PROPN
ejpam-5921	90	3	=	=	SYM
ejpam-5921	90	4	1	1	NUM
ejpam-5921	90	5	,	,	PUNCT
ejpam-5921	90	6	then	then	ADV
ejpam-5921	90	7	ρ	ρ	PROPN
ejpam-5921	90	8	besu	besu	NOUN
ejpam-5921	90	9	distribution	distribution	NOUN
ejpam-5921	90	10	reduces	reduce	VERB
ejpam-5921	90	11	to	to	ADP
ejpam-5921	90	12	the	the	DET
ejpam-5921	90	13	besu	besu	NOUN
ejpam-5921	90	14	distribution	distribution	NOUN
ejpam-5921	90	15	.	.	PUNCT
ejpam-5921	91	1	theorem	theorem	NOUN
ejpam-5921	91	2	1	1	NUM
ejpam-5921	91	3	.	.	PUNCT
ejpam-5921	92	1	let	let	AUX
ejpam-5921	92	2	(	(	PUNCT
ejpam-5921	92	3	x	x	X
ejpam-5921	92	4	,	,	PUNCT
ejpam-5921	92	5	y	y	PROPN
ejpam-5921	92	6	)	)	PUNCT
ejpam-5921	92	7	be	be	AUX
ejpam-5921	92	8	the	the	DET
ejpam-5921	92	9	bivariate	bivariate	ADJ
ejpam-5921	92	10	random	random	ADJ
ejpam-5921	92	11	vector	vector	NOUN
ejpam-5921	92	12	with	with	ADP
ejpam-5921	92	13	joint	joint	ADJ
ejpam-5921	92	14	pdf	pdf	NOUN
ejpam-5921	92	15	given	give	VERB
ejpam-5921	92	16	in	in	ADP
ejpam-5921	92	17	equation	equation	NOUN
ejpam-5921	92	18	(	(	PUNCT
ejpam-5921	92	19	6	6	NUM
ejpam-5921	92	20	)	)	PUNCT
ejpam-5921	92	21	,	,	PUNCT
ejpam-5921	92	22	then	then	ADV
ejpam-5921	92	23	the	the	DET
ejpam-5921	92	24	joint	joint	ADJ
ejpam-5921	92	25	cdf	cdf	PROPN
ejpam-5921	92	26	of	of	ADP
ejpam-5921	92	27	(	(	PUNCT
ejpam-5921	92	28	x	x	PROPN
ejpam-5921	92	29	,	,	PUNCT
ejpam-5921	92	30	y	y	PROPN
ejpam-5921	92	31	)	)	PUNCT
ejpam-5921	92	32	is	be	AUX
ejpam-5921	92	33	given	give	VERB
ejpam-5921	92	34	by	by	ADP
ejpam-5921	92	35	f	f	PROPN
ejpam-5921	92	36	(	(	PUNCT
ejpam-5921	92	37	x	x	PROPN
ejpam-5921	92	38	,	,	PUNCT
ejpam-5921	92	39	y	y	NOUN
ejpam-5921	92	40	)	)	PUNCT
ejpam-5921	92	41	=	=	SYM
ejpam-5921	93	1	3y	3y	NUM
ejpam-5921	93	2	(	(	PUNCT
ejpam-5921	93	3	2y2	2y2	NUM
ejpam-5921	93	4	−	−	NOUN
ejpam-5921	93	5	3y	3y	NUM
ejpam-5921	93	6	+	+	NOUN
ejpam-5921	93	7	1	1	X
ejpam-5921	93	8	)	)	PUNCT
ejpam-5921	93	9	mρ(x)−	mρ(x)−	NOUN
ejpam-5921	93	10	(	(	PUNCT
ejpam-5921	93	11	2y	2y	PROPN
ejpam-5921	93	12	−	−	PROPN
ejpam-5921	93	13	3)y2f	3)y2f	NUM
ejpam-5921	93	14	(	(	PUNCT
ejpam-5921	93	15	x	x	NOUN
ejpam-5921	93	16	)	)	PUNCT
ejpam-5921	93	17	,	,	PUNCT
ejpam-5921	93	18	(	(	PUNCT
ejpam-5921	93	19	7	7	X
ejpam-5921	93	20	)	)	PUNCT
ejpam-5921	93	21	where	where	SCONJ
ejpam-5921	93	22	mρ(x	mρ(x	NUM
ejpam-5921	93	23	)	)	PUNCT
ejpam-5921	93	24	=	=	PUNCT
ejpam-5921	94	1	(	(	PUNCT
ejpam-5921	94	2	1	1	NUM
ejpam-5921	94	3	+	+	NUM
ejpam-5921	94	4	2λ)xρ+1	2λ)xρ+1	NUM
ejpam-5921	94	5	ρ+	ρ+	NOUN
ejpam-5921	94	6	1	1	NUM
ejpam-5921	94	7	−	−	NOUN
ejpam-5921	94	8	12λxρ+2	12λxρ+2	NUM
ejpam-5921	94	9	ρ+	ρ+	NOUN
ejpam-5921	94	10	2	2	NUM
ejpam-5921	94	11	+	+	NUM
ejpam-5921	94	12	12λxρ+3	12λxρ+3	NUM
ejpam-5921	94	13	ρ+	ρ+	NOUN
ejpam-5921	94	14	3	3	NUM
ejpam-5921	94	15	,	,	PUNCT
ejpam-5921	94	16	and	and	CCONJ
ejpam-5921	94	17	f	f	PROPN
ejpam-5921	94	18	(	(	PUNCT
ejpam-5921	94	19	x	x	X
ejpam-5921	94	20	)	)	PUNCT
ejpam-5921	94	21	=	=	SYM
ejpam-5921	94	22	(	(	PUNCT
ejpam-5921	94	23	1	1	NUM
ejpam-5921	94	24	+	+	NUM
ejpam-5921	94	25	2λ)x−	2λ)x−	NUM
ejpam-5921	94	26	6λx2	6λx2	NUM
ejpam-5921	94	27	+	+	CCONJ
ejpam-5921	94	28	4λx3	4λx3	NUM
ejpam-5921	94	29	.	.	PUNCT
ejpam-5921	95	1	proof	proof	NOUN
ejpam-5921	95	2	.	.	PUNCT
ejpam-5921	96	1	the	the	DET
ejpam-5921	96	2	joint	joint	ADJ
ejpam-5921	96	3	cumulative	cumulative	ADJ
ejpam-5921	96	4	distribution	distribution	NOUN
ejpam-5921	96	5	function	function	NOUN
ejpam-5921	96	6	of	of	ADP
ejpam-5921	96	7	x	x	PUNCT
ejpam-5921	96	8	and	and	CCONJ
ejpam-5921	96	9	y	y	PROPN
ejpam-5921	96	10	is	be	AUX
ejpam-5921	96	11	defined	define	VERB
ejpam-5921	96	12	as	as	ADP
ejpam-5921	96	13	f	f	PROPN
ejpam-5921	96	14	(	(	PUNCT
ejpam-5921	96	15	x	x	PROPN
ejpam-5921	96	16	,	,	PUNCT
ejpam-5921	96	17	y	y	NOUN
ejpam-5921	96	18	)	)	PUNCT
ejpam-5921	96	19	=	=	SYM
ejpam-5921	97	1	∫	∫	PUNCT
ejpam-5921	97	2	x	x	SYM
ejpam-5921	97	3	0	0	NUM
ejpam-5921	97	4	∫	∫	PROPN
ejpam-5921	97	5	y	y	PROPN
ejpam-5921	97	6	0	0	PROPN
ejpam-5921	97	7	f(u	f(u	PROPN
ejpam-5921	97	8	,	,	PUNCT
ejpam-5921	97	9	v)dvdu	v)dvdu	PROPN
ejpam-5921	97	10	=	=	SYM
ejpam-5921	98	1	∫	∫	PROPN
ejpam-5921	98	2	x	x	SYM
ejpam-5921	98	3	0	0	PROPN
ejpam-5921	98	4	f(u	f(u	PROPN
ejpam-5921	98	5	)	)	PUNCT
ejpam-5921	99	1	[	[	X
ejpam-5921	99	2	∫	∫	X
ejpam-5921	99	3	y	y	PROPN
ejpam-5921	99	4	0	0	NUM
ejpam-5921	99	5	f(v|u)dv	f(v|u)dv	PROPN
ejpam-5921	99	6	]	]	PUNCT
ejpam-5921	99	7	du	du	AUX
ejpam-5921	99	8	.	.	PROPN
ejpam-5921	99	9	observe	observe	VERB
ejpam-5921	99	10	that,∫	that,∫	PROPN
ejpam-5921	99	11	y	y	PROPN
ejpam-5921	99	12	0	0	PROPN
ejpam-5921	99	13	f(v|u)dv	f(v|u)dv	PROPN
ejpam-5921	99	14	=	=	SYM
ejpam-5921	99	15	∫	∫	PROPN
ejpam-5921	99	16	y	y	NOUN
ejpam-5921	99	17	0	0	NUM
ejpam-5921	100	1	[	[	PUNCT
ejpam-5921	100	2	1.5−	1.5−	NUM
ejpam-5921	100	3	1.5uρ	1.5uρ	NUM
ejpam-5921	100	4	+	+	NUM
ejpam-5921	100	5	3(1.5uρ	3(1.5uρ	NUM
ejpam-5921	100	6	−	−	PROPN
ejpam-5921	101	1	0.5)(2v	0.5)(2v	NOUN
ejpam-5921	102	1	−	−	PROPN
ejpam-5921	102	2	1)2	1)2	NUM
ejpam-5921	102	3	]	]	PUNCT
ejpam-5921	102	4	dv	dv	PROPN
ejpam-5921	102	5	=(	=(	PROPN
ejpam-5921	102	6	1.5−	1.5−	PROPN
ejpam-5921	102	7	1.5uρ	1.5uρ	NUM
ejpam-5921	102	8	)	)	PUNCT
ejpam-5921	102	9	∫	∫	PROPN
ejpam-5921	103	1	y	y	PROPN
ejpam-5921	103	2	0	0	NUM
ejpam-5921	104	1	dv	dv	PROPN
ejpam-5921	104	2	+	+	CCONJ
ejpam-5921	104	3	3	3	NUM
ejpam-5921	104	4	(	(	PUNCT
ejpam-5921	104	5	1.5uρ	1.5uρ	PROPN
ejpam-5921	104	6	−	−	PROPN
ejpam-5921	104	7	0.5	0.5	NUM
ejpam-5921	104	8	)	)	PUNCT
ejpam-5921	104	9	∫	∫	PROPN
ejpam-5921	105	1	y	y	PROPN
ejpam-5921	105	2	0	0	NUM
ejpam-5921	106	1	(	(	PUNCT
ejpam-5921	106	2	4v2	4v2	NUM
ejpam-5921	106	3	−	−	NUM
ejpam-5921	106	4	4v	4v	NOUN
ejpam-5921	106	5	+	+	CCONJ
ejpam-5921	106	6	1	1	X
ejpam-5921	106	7	)	)	PUNCT
ejpam-5921	106	8	dv	dv	PROPN
ejpam-5921	106	9	=(	=(	PROPN
ejpam-5921	106	10	1.5−	1.5−	PROPN
ejpam-5921	106	11	1.5uρ	1.5uρ	NUM
ejpam-5921	106	12	)	)	PUNCT
ejpam-5921	106	13	(	(	PUNCT
ejpam-5921	106	14	v	v	NUM
ejpam-5921	106	15	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-5921	106	16	0	0	NUM
ejpam-5921	106	17	)	)	PUNCT
ejpam-5921	107	1	+	+	CCONJ
ejpam-5921	107	2	3	3	NUM
ejpam-5921	107	3	(	(	PUNCT
ejpam-5921	107	4	1.5uρ	1.5uρ	PROPN
ejpam-5921	107	5	−	−	PROPN
ejpam-5921	107	6	0.5	0.5	NUM
ejpam-5921	107	7	)	)	PUNCT
ejpam-5921	107	8	(	(	PUNCT
ejpam-5921	107	9	4	4	NUM
ejpam-5921	107	10	v3	v3	PROPN
ejpam-5921	107	11	3	3	NUM
ejpam-5921	107	12	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-5921	107	13	0	0	NUM
ejpam-5921	108	1	−	−	NUM
ejpam-5921	108	2	4	4	NUM
ejpam-5921	108	3	v2	v2	NOUN
ejpam-5921	108	4	2	2	NUM
ejpam-5921	108	5	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-5921	108	6	0	0	NUM
ejpam-5921	109	1	+	+	CCONJ
ejpam-5921	109	2	v	v	NUM
ejpam-5921	109	3	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-5921	109	4	0	0	NUM
ejpam-5921	109	5	)	)	PUNCT
ejpam-5921	109	6	=(	=(	NOUN
ejpam-5921	110	1	1.5−	1.5−	NUM
ejpam-5921	110	2	1.5uρ	1.5uρ	NUM
ejpam-5921	110	3	)	)	PUNCT
ejpam-5921	110	4	y	y	PROPN
ejpam-5921	110	5	+	+	CCONJ
ejpam-5921	110	6	(	(	PUNCT
ejpam-5921	110	7	1.5uρ	1.5uρ	NUM
ejpam-5921	110	8	−	−	PROPN
ejpam-5921	110	9	0.5	0.5	NUM
ejpam-5921	110	10	)	)	PUNCT
ejpam-5921	110	11	(	(	PUNCT
ejpam-5921	110	12	4y3	4y3	NUM
ejpam-5921	110	13	−	−	NOUN
ejpam-5921	110	14	6y2	6y2	NUM
ejpam-5921	110	15	+	+	CCONJ
ejpam-5921	110	16	3y	3y	NUM
ejpam-5921	110	17	)	)	PUNCT
ejpam-5921	111	1	=	=	PUNCT
ejpam-5921	112	1	[	[	X
ejpam-5921	112	2	1.5−	1.5−	NUM
ejpam-5921	112	3	1.5uρ	1.5uρ	NUM
ejpam-5921	112	4	+	+	CCONJ
ejpam-5921	112	5	3	3	NUM
ejpam-5921	112	6	(	(	PUNCT
ejpam-5921	112	7	1.5uρ	1.5uρ	PROPN
ejpam-5921	112	8	−	−	NOUN
ejpam-5921	112	9	0.5	0.5	NUM
ejpam-5921	112	10	)	)	PUNCT
ejpam-5921	112	11	]	]	PUNCT
ejpam-5921	113	1	y	y	PROPN
ejpam-5921	113	2	+	+	CCONJ
ejpam-5921	113	3	(	(	PUNCT
ejpam-5921	113	4	1.5uρ	1.5uρ	NUM
ejpam-5921	113	5	−	−	PROPN
ejpam-5921	113	6	0.5	0.5	NUM
ejpam-5921	113	7	)	)	PUNCT
ejpam-5921	113	8	(	(	PUNCT
ejpam-5921	113	9	4y3	4y3	NUM
ejpam-5921	113	10	−	−	NOUN
ejpam-5921	113	11	6y2	6y2	NUM
ejpam-5921	113	12	)	)	PUNCT
ejpam-5921	114	1	=	=	SYM
ejpam-5921	114	2	3uρy	3uρy	NOUN
ejpam-5921	114	3	+	+	CCONJ
ejpam-5921	114	4	(	(	PUNCT
ejpam-5921	114	5	1.5uρ	1.5uρ	NUM
ejpam-5921	114	6	−	−	PROPN
ejpam-5921	114	7	0.5	0.5	NUM
ejpam-5921	114	8	)	)	PUNCT
ejpam-5921	114	9	(	(	PUNCT
ejpam-5921	114	10	4y3	4y3	NUM
ejpam-5921	114	11	−	−	NOUN
ejpam-5921	114	12	6y2	6y2	NUM
ejpam-5921	114	13	)	)	PUNCT
ejpam-5921	115	1	=	=	SYM
ejpam-5921	115	2	3uρy	3uρy	NOUN
ejpam-5921	116	1	+	+	CCONJ
ejpam-5921	116	2	1.5uρ	1.5uρ	NUM
ejpam-5921	116	3	(	(	PUNCT
ejpam-5921	116	4	4y3	4y3	NUM
ejpam-5921	116	5	−	−	NOUN
ejpam-5921	116	6	6y2	6y2	NUM
ejpam-5921	116	7	)	)	PUNCT
ejpam-5921	116	8	−	−	ADP
ejpam-5921	116	9	0.5	0.5	NUM
ejpam-5921	116	10	(	(	PUNCT
ejpam-5921	116	11	4y3	4y3	NUM
ejpam-5921	116	12	−	−	NOUN
ejpam-5921	116	13	6y2	6y2	NUM
ejpam-5921	116	14	)	)	PUNCT
ejpam-5921	116	15	=	=	SYM
ejpam-5921	116	16	(	(	PUNCT
ejpam-5921	116	17	6y3	6y3	NUM
ejpam-5921	116	18	−	−	NUM
ejpam-5921	116	19	9y2	9y2	NUM
ejpam-5921	116	20	+	+	CCONJ
ejpam-5921	116	21	3y	3y	NUM
ejpam-5921	116	22	)	)	PUNCT
ejpam-5921	116	23	uρ	uρ	ADP
ejpam-5921	116	24	−	−	PROPN
ejpam-5921	116	25	(	(	PUNCT
ejpam-5921	116	26	2y3	2y3	NUM
ejpam-5921	116	27	−	−	PROPN
ejpam-5921	116	28	3y2	3y2	NUM
ejpam-5921	116	29	)	)	PUNCT
ejpam-5921	116	30	.	.	PUNCT
ejpam-5921	117	1	thus	thus	ADV
ejpam-5921	117	2	,	,	PUNCT
ejpam-5921	117	3	f	f	PROPN
ejpam-5921	117	4	(	(	PUNCT
ejpam-5921	117	5	x	x	PROPN
ejpam-5921	117	6	,	,	PUNCT
ejpam-5921	117	7	y	y	NOUN
ejpam-5921	117	8	)	)	PUNCT
ejpam-5921	117	9	=	=	SYM
ejpam-5921	118	1	∫	∫	PROPN
ejpam-5921	118	2	x	x	SYM
ejpam-5921	118	3	0	0	PUNCT
ejpam-5921	118	4	(	(	PUNCT
ejpam-5921	118	5	1−	1−	NUM
ejpam-5921	118	6	λ+	λ+	PUNCT
ejpam-5921	118	7	3λ(2u−	3λ(2u−	NUM
ejpam-5921	118	8	1)2	1)2	NUM
ejpam-5921	118	9	)	)	PUNCT
ejpam-5921	119	1	[	[	X
ejpam-5921	119	2	(	(	PUNCT
ejpam-5921	119	3	6y3	6y3	NUM
ejpam-5921	119	4	−	−	NUM
ejpam-5921	119	5	9y2	9y2	NUM
ejpam-5921	119	6	+	+	CCONJ
ejpam-5921	119	7	3y	3y	NUM
ejpam-5921	119	8	)	)	PUNCT
ejpam-5921	119	9	uρ	uρ	ADP
ejpam-5921	119	10	−	−	PROPN
ejpam-5921	119	11	(	(	PUNCT
ejpam-5921	119	12	2y3	2y3	NUM
ejpam-5921	119	13	−	−	PROPN
ejpam-5921	119	14	3y2	3y2	NUM
ejpam-5921	119	15	)	)	PUNCT
ejpam-5921	119	16	]	]	PUNCT
ejpam-5921	120	1	du	du	PROPN
ejpam-5921	120	2	i.	i.	PROPN
ejpam-5921	120	3	a.	a.	PROPN
ejpam-5921	120	4	lakibul	lakibul	PROPN
ejpam-5921	120	5	,	,	PUNCT
ejpam-5921	120	6	d.	d.	PROPN
ejpam-5921	120	7	l.	l.	PROPN
ejpam-5921	120	8	polestico	polestico	PROPN
ejpam-5921	120	9	,	,	PUNCT
ejpam-5921	120	10	a.	a.	PROPN
ejpam-5921	120	11	p.	p.	NOUN
ejpam-5921	120	12	supe	supe	PROPN
ejpam-5921	120	13	/	/	SYM
ejpam-5921	120	14	eur	eur	PROPN
ejpam-5921	120	15	.	.	PUNCT
ejpam-5921	121	1	j.	j.	PROPN
ejpam-5921	121	2	pure	pure	PROPN
ejpam-5921	121	3	appl	appl	PROPN
ejpam-5921	121	4	.	.	PROPN
ejpam-5921	121	5	math	math	PROPN
ejpam-5921	121	6	,	,	PUNCT
ejpam-5921	121	7	18	18	NUM
ejpam-5921	121	8	(	(	PUNCT
ejpam-5921	121	9	3	3	NUM
ejpam-5921	121	10	)	)	PUNCT
ejpam-5921	121	11	(	(	PUNCT
ejpam-5921	121	12	2025	2025	NUM
ejpam-5921	121	13	)	)	PUNCT
ejpam-5921	121	14	,	,	PUNCT
ejpam-5921	121	15	5921	5921	NUM
ejpam-5921	121	16	5	5	NUM
ejpam-5921	121	17	of	of	ADP
ejpam-5921	121	18	24	24	NUM
ejpam-5921	121	19	f	f	NOUN
ejpam-5921	121	20	(	(	PUNCT
ejpam-5921	121	21	x	x	PROPN
ejpam-5921	121	22	,	,	PUNCT
ejpam-5921	121	23	y	y	NOUN
ejpam-5921	121	24	)	)	PUNCT
ejpam-5921	121	25	=	=	NOUN
ejpam-5921	121	26	(	(	PUNCT
ejpam-5921	121	27	6y3	6y3	NUM
ejpam-5921	121	28	−	−	NUM
ejpam-5921	121	29	9y2	9y2	NUM
ejpam-5921	121	30	+	+	CCONJ
ejpam-5921	121	31	3y	3y	NUM
ejpam-5921	121	32	)	)	PUNCT
ejpam-5921	121	33	∫	∫	PROPN
ejpam-5921	122	1	x	x	SYM
ejpam-5921	122	2	0	0	NUM
ejpam-5921	122	3	uρf(u)du−	uρf(u)du−	NOUN
ejpam-5921	122	4	(	(	PUNCT
ejpam-5921	122	5	2y3	2y3	NUM
ejpam-5921	122	6	−	−	NOUN
ejpam-5921	122	7	3y2	3y2	NUM
ejpam-5921	122	8	)	)	PUNCT
ejpam-5921	122	9	∫	∫	NOUN
ejpam-5921	122	10	x	x	X
ejpam-5921	122	11	0	0	PUNCT
ejpam-5921	123	1	f(u)du	f(u)du	PROPN
ejpam-5921	123	2	=	=	ADJ
ejpam-5921	123	3	3y	3y	X
ejpam-5921	123	4	(	(	PUNCT
ejpam-5921	123	5	2y2	2y2	NUM
ejpam-5921	123	6	−	−	NOUN
ejpam-5921	123	7	3y	3y	NUM
ejpam-5921	123	8	+	+	NOUN
ejpam-5921	123	9	1	1	X
ejpam-5921	123	10	)	)	PUNCT
ejpam-5921	123	11	mρ(x)−	mρ(x)−	NOUN
ejpam-5921	123	12	(	(	PUNCT
ejpam-5921	123	13	2y	2y	PROPN
ejpam-5921	123	14	−	−	PROPN
ejpam-5921	123	15	3)y2f	3)y2f	NUM
ejpam-5921	123	16	(	(	PUNCT
ejpam-5921	123	17	x	x	NOUN
ejpam-5921	123	18	)	)	PUNCT
ejpam-5921	123	19	,	,	PUNCT
ejpam-5921	123	20	where	where	SCONJ
ejpam-5921	123	21	mρ(x	mρ(x	NUM
ejpam-5921	123	22	)	)	PUNCT
ejpam-5921	123	23	=	=	PUNCT
ejpam-5921	123	24	(	(	PUNCT
ejpam-5921	123	25	1	1	NUM
ejpam-5921	123	26	+	+	NUM
ejpam-5921	123	27	2λ)xρ+1	2λ)xρ+1	NUM
ejpam-5921	123	28	ρ+	ρ+	NOUN
ejpam-5921	123	29	1	1	NUM
ejpam-5921	123	30	−	−	NOUN
ejpam-5921	123	31	12λxρ+2	12λxρ+2	NUM
ejpam-5921	123	32	ρ+	ρ+	NOUN
ejpam-5921	123	33	2	2	NUM
ejpam-5921	123	34	+	+	NUM
ejpam-5921	123	35	12λxρ+3	12λxρ+3	NUM
ejpam-5921	123	36	ρ+	ρ+	NOUN
ejpam-5921	123	37	3	3	NUM
ejpam-5921	123	38	,	,	PUNCT
ejpam-5921	123	39	and	and	CCONJ
ejpam-5921	123	40	f	f	PROPN
ejpam-5921	123	41	(	(	PUNCT
ejpam-5921	123	42	x	x	NOUN
ejpam-5921	123	43	)	)	PUNCT
ejpam-5921	123	44	=(	=(	NOUN
ejpam-5921	123	45	1	1	NUM
ejpam-5921	123	46	+	+	NUM
ejpam-5921	123	47	2λ)x−	2λ)x−	NUM
ejpam-5921	123	48	6λx2	6λx2	NUM
ejpam-5921	123	49	+	+	CCONJ
ejpam-5921	123	50	4λx3	4λx3	NUM
ejpam-5921	123	51	.	.	PUNCT
ejpam-5921	124	1	corollary	corollary	ADJ
ejpam-5921	124	2	1	1	NUM
ejpam-5921	124	3	.	.	PUNCT
ejpam-5921	125	1	let	let	AUX
ejpam-5921	125	2	(	(	PUNCT
ejpam-5921	125	3	x	x	X
ejpam-5921	125	4	,	,	PUNCT
ejpam-5921	125	5	y	y	PROPN
ejpam-5921	125	6	)	)	PUNCT
ejpam-5921	125	7	be	be	AUX
ejpam-5921	125	8	a	a	DET
ejpam-5921	125	9	bivariate	bivariate	ADJ
ejpam-5921	125	10	random	random	ADJ
ejpam-5921	125	11	variable	variable	NOUN
ejpam-5921	125	12	with	with	ADP
ejpam-5921	125	13	ρ−besu	ρ−besu	PUNCT
ejpam-5921	125	14	distribution	distribution	NOUN
ejpam-5921	125	15	joint	joint	NOUN
ejpam-5921	125	16	cdf	cdf	PROPN
ejpam-5921	125	17	given	give	VERB
ejpam-5921	125	18	in	in	ADP
ejpam-5921	125	19	equation	equation	NOUN
ejpam-5921	125	20	(	(	PUNCT
ejpam-5921	125	21	7	7	NUM
ejpam-5921	125	22	)	)	PUNCT
ejpam-5921	125	23	.	.	PUNCT
ejpam-5921	126	1	if	if	SCONJ
ejpam-5921	126	2	λ	λ	X
ejpam-5921	126	3	=	=	SYM
ejpam-5921	126	4	0	0	NUM
ejpam-5921	126	5	,	,	PUNCT
ejpam-5921	126	6	then	then	ADV
ejpam-5921	126	7	the	the	DET
ejpam-5921	126	8	joint	joint	ADJ
ejpam-5921	126	9	cdf	cdf	PROPN
ejpam-5921	126	10	of	of	ADP
ejpam-5921	126	11	(	(	PUNCT
ejpam-5921	126	12	x	x	PROPN
ejpam-5921	126	13	,	,	PUNCT
ejpam-5921	126	14	y	y	PROPN
ejpam-5921	126	15	)	)	PUNCT
ejpam-5921	126	16	simplifies	simplifie	NOUN
ejpam-5921	126	17	to	to	ADP
ejpam-5921	126	18	f	f	PROPN
ejpam-5921	126	19	(	(	PUNCT
ejpam-5921	126	20	x	x	PROPN
ejpam-5921	126	21	,	,	PUNCT
ejpam-5921	126	22	y	y	NOUN
ejpam-5921	126	23	)	)	PUNCT
ejpam-5921	126	24	=	=	SYM
ejpam-5921	127	1	3y	3y	NUM
ejpam-5921	127	2	(	(	PUNCT
ejpam-5921	127	3	2y2	2y2	NUM
ejpam-5921	127	4	−	−	NOUN
ejpam-5921	127	5	3y	3y	NUM
ejpam-5921	127	6	+	+	NOUN
ejpam-5921	127	7	1	1	X
ejpam-5921	127	8	)	)	PUNCT
ejpam-5921	127	9	xρ+1	xρ+1	NOUN
ejpam-5921	127	10	ρ+	ρ+	NUM
ejpam-5921	127	11	1	1	NUM
ejpam-5921	127	12	−	−	PROPN
ejpam-5921	127	13	(	(	PUNCT
ejpam-5921	127	14	2y	2y	NUM
ejpam-5921	127	15	−	−	NOUN
ejpam-5921	127	16	3)y2x	3)y2x	NUM
ejpam-5921	127	17	,	,	PUNCT
ejpam-5921	127	18	(	(	PUNCT
ejpam-5921	127	19	8)	8)	NUM
ejpam-5921	127	20	where	where	SCONJ
ejpam-5921	127	21	0	0	NUM
ejpam-5921	127	22	≤	≤	NOUN
ejpam-5921	127	23	(	(	PUNCT
ejpam-5921	127	24	x	x	X
ejpam-5921	127	25	,	,	PUNCT
ejpam-5921	127	26	y	y	NOUN
ejpam-5921	127	27	)	)	PUNCT
ejpam-5921	127	28	≤	≤	NOUN
ejpam-5921	127	29	1	1	NUM
ejpam-5921	127	30	and	and	CCONJ
ejpam-5921	127	31	ρ	ρ	PROPN
ejpam-5921	127	32	≥	≥	NOUN
ejpam-5921	127	33	0	0	NUM
ejpam-5921	127	34	.	.	PUNCT
ejpam-5921	128	1	the	the	DET
ejpam-5921	128	2	proof	proof	NOUN
ejpam-5921	128	3	follows	follow	VERB
ejpam-5921	128	4	easily	easily	ADV
ejpam-5921	128	5	from	from	ADP
ejpam-5921	128	6	theorem	theorem	NOUN
ejpam-5921	128	7	1	1	NUM
ejpam-5921	128	8	by	by	ADP
ejpam-5921	128	9	setting	set	VERB
ejpam-5921	128	10	λ	λ	X
ejpam-5921	128	11	=	=	SYM
ejpam-5921	128	12	0	0	NUM
ejpam-5921	128	13	in	in	ADP
ejpam-5921	128	14	equation	equation	NOUN
ejpam-5921	128	15	(	(	PUNCT
ejpam-5921	128	16	7	7	NUM
ejpam-5921	128	17	)	)	PUNCT
ejpam-5921	128	18	.	.	PUNCT
ejpam-5921	129	1	corollary	corollary	ADJ
ejpam-5921	129	2	2	2	NUM
ejpam-5921	129	3	.	.	PUNCT
ejpam-5921	130	1	let	let	AUX
ejpam-5921	130	2	(	(	PUNCT
ejpam-5921	130	3	x	x	X
ejpam-5921	130	4	,	,	PUNCT
ejpam-5921	130	5	y	y	PROPN
ejpam-5921	130	6	)	)	PUNCT
ejpam-5921	130	7	be	be	AUX
ejpam-5921	130	8	a	a	DET
ejpam-5921	130	9	bivariate	bivariate	ADJ
ejpam-5921	130	10	random	random	ADJ
ejpam-5921	130	11	variable	variable	NOUN
ejpam-5921	130	12	with	with	ADP
ejpam-5921	130	13	ρ−besu	ρ−besu	PUNCT
ejpam-5921	130	14	distribution	distribution	NOUN
ejpam-5921	130	15	joint	joint	NOUN
ejpam-5921	130	16	cdf	cdf	PROPN
ejpam-5921	130	17	given	give	VERB
ejpam-5921	130	18	in	in	ADP
ejpam-5921	130	19	equation	equation	NOUN
ejpam-5921	130	20	(	(	PUNCT
ejpam-5921	130	21	7	7	NUM
ejpam-5921	130	22	)	)	PUNCT
ejpam-5921	130	23	.	.	PUNCT
ejpam-5921	131	1	if	if	SCONJ
ejpam-5921	131	2	ρ	ρ	PROPN
ejpam-5921	131	3	=	=	SYM
ejpam-5921	131	4	0	0	NUM
ejpam-5921	131	5	,	,	PUNCT
ejpam-5921	131	6	then	then	ADV
ejpam-5921	131	7	the	the	DET
ejpam-5921	131	8	joint	joint	ADJ
ejpam-5921	131	9	cdf	cdf	PROPN
ejpam-5921	131	10	of	of	ADP
ejpam-5921	131	11	(	(	PUNCT
ejpam-5921	131	12	x	x	PROPN
ejpam-5921	131	13	,	,	PUNCT
ejpam-5921	131	14	y	y	PROPN
ejpam-5921	131	15	)	)	PUNCT
ejpam-5921	131	16	is	be	AUX
ejpam-5921	131	17	given	give	VERB
ejpam-5921	131	18	by	by	ADP
ejpam-5921	131	19	f	f	PROPN
ejpam-5921	131	20	(	(	PUNCT
ejpam-5921	131	21	x	x	PROPN
ejpam-5921	131	22	,	,	PUNCT
ejpam-5921	131	23	y	y	PROPN
ejpam-5921	131	24	)	)	PUNCT
ejpam-5921	131	25	=	=	SYM
ejpam-5921	131	26	(	(	PUNCT
ejpam-5921	131	27	4y2	4y2	NUM
ejpam-5921	131	28	−	−	NOUN
ejpam-5921	131	29	6y	6y	NOUN
ejpam-5921	131	30	+	+	CCONJ
ejpam-5921	131	31	3	3	X
ejpam-5921	131	32	)	)	PUNCT
ejpam-5921	131	33	(	(	PUNCT
ejpam-5921	131	34	1	1	NUM
ejpam-5921	131	35	+	+	X
ejpam-5921	131	36	2λ−	2λ−	NUM
ejpam-5921	131	37	6λx+	6λx+	PROPN
ejpam-5921	131	38	4λx2	4λx2	NUM
ejpam-5921	131	39	)	)	PUNCT
ejpam-5921	132	1	xy	xy	PROPN
ejpam-5921	132	2	,	,	PUNCT
ejpam-5921	132	3	(	(	PUNCT
ejpam-5921	132	4	9	9	X
ejpam-5921	132	5	)	)	PUNCT
ejpam-5921	132	6	where	where	SCONJ
ejpam-5921	132	7	0	0	NUM
ejpam-5921	132	8	≤	≤	NOUN
ejpam-5921	132	9	(	(	PUNCT
ejpam-5921	132	10	x	x	X
ejpam-5921	132	11	,	,	PUNCT
ejpam-5921	132	12	y	y	NOUN
ejpam-5921	132	13	)	)	PUNCT
ejpam-5921	132	14	≤	≤	NOUN
ejpam-5921	132	15	1	1	NUM
ejpam-5921	132	16	and	and	CCONJ
ejpam-5921	132	17	λ	λ	X
ejpam-5921	132	18	∈	∈	PROPN
ejpam-5921	133	1	[	[	X
ejpam-5921	133	2	−0.5	−0.5	PROPN
ejpam-5921	133	3	,	,	PUNCT
ejpam-5921	133	4	1	1	NUM
ejpam-5921	133	5	]	]	PUNCT
ejpam-5921	133	6	.	.	PUNCT
ejpam-5921	134	1	the	the	DET
ejpam-5921	134	2	proof	proof	NOUN
ejpam-5921	134	3	is	be	AUX
ejpam-5921	134	4	straightforward	straightforward	ADJ
ejpam-5921	134	5	by	by	ADP
ejpam-5921	134	6	inserting	insert	VERB
ejpam-5921	134	7	ρ	ρ	PROPN
ejpam-5921	134	8	=	=	SYM
ejpam-5921	134	9	0	0	NUM
ejpam-5921	134	10	into	into	ADP
ejpam-5921	134	11	equation	equation	NOUN
ejpam-5921	134	12	(	(	PUNCT
ejpam-5921	134	13	7	7	NUM
ejpam-5921	134	14	)	)	PUNCT
ejpam-5921	134	15	of	of	ADP
ejpam-5921	134	16	theorem	theorem	NOUN
ejpam-5921	134	17	1	1	NUM
ejpam-5921	134	18	.	.	PUNCT
ejpam-5921	134	19	i.	i.	PROPN
ejpam-5921	134	20	a.	a.	PROPN
ejpam-5921	134	21	lakibul	lakibul	PROPN
ejpam-5921	134	22	,	,	PUNCT
ejpam-5921	134	23	d.	d.	PROPN
ejpam-5921	134	24	l.	l.	PROPN
ejpam-5921	134	25	polestico	polestico	PROPN
ejpam-5921	134	26	,	,	PUNCT
ejpam-5921	134	27	a.	a.	PROPN
ejpam-5921	134	28	p.	p.	NOUN
ejpam-5921	134	29	supe	supe	PROPN
ejpam-5921	134	30	/	/	SYM
ejpam-5921	134	31	eur	eur	PROPN
ejpam-5921	134	32	.	.	PUNCT
ejpam-5921	135	1	j.	j.	PROPN
ejpam-5921	135	2	pure	pure	PROPN
ejpam-5921	135	3	appl	appl	PROPN
ejpam-5921	135	4	.	.	PROPN
ejpam-5921	135	5	math	math	PROPN
ejpam-5921	135	6	,	,	PUNCT
ejpam-5921	135	7	18	18	NUM
ejpam-5921	135	8	(	(	PUNCT
ejpam-5921	135	9	3	3	NUM
ejpam-5921	135	10	)	)	PUNCT
ejpam-5921	135	11	(	(	PUNCT
ejpam-5921	135	12	2025	2025	NUM
ejpam-5921	135	13	)	)	PUNCT
ejpam-5921	135	14	,	,	PUNCT
ejpam-5921	135	15	5921	5921	NUM
ejpam-5921	135	16	6	6	NUM
ejpam-5921	135	17	of	of	ADP
ejpam-5921	135	18	24	24	NUM
ejpam-5921	135	19	(	(	PUNCT
ejpam-5921	135	20	a	a	NOUN
ejpam-5921	135	21	)	)	PUNCT
ejpam-5921	135	22	(	(	PUNCT
ejpam-5921	135	23	b	b	X
ejpam-5921	135	24	)	)	PUNCT
ejpam-5921	135	25	(	(	PUNCT
ejpam-5921	135	26	c	c	X
ejpam-5921	135	27	)	)	PUNCT
ejpam-5921	135	28	(	(	PUNCT
ejpam-5921	135	29	d	d	X
ejpam-5921	135	30	)	)	PUNCT
ejpam-5921	135	31	(	(	PUNCT
ejpam-5921	135	32	e	e	NOUN
ejpam-5921	135	33	)	)	PUNCT
ejpam-5921	135	34	(	(	PUNCT
ejpam-5921	135	35	f	f	X
ejpam-5921	135	36	)	)	PUNCT
ejpam-5921	135	37	figure	figure	NOUN
ejpam-5921	135	38	1	1	NUM
ejpam-5921	135	39	:	:	PUNCT
ejpam-5921	135	40	pdf	pdf	NOUN
ejpam-5921	135	41	plots	plot	NOUN
ejpam-5921	135	42	of	of	ADP
ejpam-5921	135	43	ρ	ρ	NOUN
ejpam-5921	135	44	-	-	PUNCT
ejpam-5921	135	45	besu	besu	NOUN
ejpam-5921	135	46	distribution	distribution	NOUN
ejpam-5921	135	47	for	for	ADP
ejpam-5921	135	48	ρ	ρ	NOUN
ejpam-5921	135	49	=	=	SYM
ejpam-5921	135	50	2	2	NUM
ejpam-5921	135	51	and	and	CCONJ
ejpam-5921	135	52	different	different	ADJ
ejpam-5921	135	53	values	value	NOUN
ejpam-5921	135	54	of	of	ADP
ejpam-5921	135	55	λ	λ	NOUN
ejpam-5921	135	56	:	:	PUNCT
ejpam-5921	135	57	(	(	PUNCT
ejpam-5921	135	58	a	a	X
ejpam-5921	135	59	)	)	PUNCT
ejpam-5921	135	60	λ	λ	X
ejpam-5921	135	61	=	=	SYM
ejpam-5921	135	62	−0.5	−0.5	PROPN
ejpam-5921	135	63	;	;	PUNCT
ejpam-5921	135	64	(	(	PUNCT
ejpam-5921	135	65	b	b	X
ejpam-5921	135	66	)	)	PUNCT
ejpam-5921	135	67	λ	λ	NOUN
ejpam-5921	135	68	=	=	SYM
ejpam-5921	136	1	−0.25	−0.25	NOUN
ejpam-5921	136	2	;	;	PUNCT
ejpam-5921	136	3	(	(	PUNCT
ejpam-5921	136	4	c	c	X
ejpam-5921	136	5	)	)	PUNCT
ejpam-5921	136	6	λ	λ	NOUN
ejpam-5921	136	7	=	=	SYM
ejpam-5921	136	8	0	0	NUM
ejpam-5921	136	9	;	;	PUNCT
ejpam-5921	136	10	(	(	PUNCT
ejpam-5921	136	11	d	d	X
ejpam-5921	136	12	)	)	PUNCT
ejpam-5921	136	13	λ	λ	NOUN
ejpam-5921	136	14	=	=	NOUN
ejpam-5921	136	15	0.25	0.25	NUM
ejpam-5921	136	16	;	;	PUNCT
ejpam-5921	136	17	(	(	PUNCT
ejpam-5921	136	18	e	e	X
ejpam-5921	136	19	)	)	PUNCT
ejpam-5921	136	20	λ	λ	NOUN
ejpam-5921	136	21	=	=	NOUN
ejpam-5921	136	22	0.5	0.5	NUM
ejpam-5921	136	23	;	;	PUNCT
ejpam-5921	136	24	and	and	CCONJ
ejpam-5921	136	25	(	(	PUNCT
ejpam-5921	136	26	f	f	X
ejpam-5921	136	27	)	)	PUNCT
ejpam-5921	136	28	λ	λ	NOUN
ejpam-5921	136	29	=	=	NOUN
ejpam-5921	136	30	1	1	X
ejpam-5921	136	31	.	.	PUNCT
ejpam-5921	137	1	(	(	PUNCT
ejpam-5921	137	2	a	a	X
ejpam-5921	137	3	)	)	PUNCT
ejpam-5921	137	4	(	(	PUNCT
ejpam-5921	137	5	b	b	X
ejpam-5921	137	6	)	)	PUNCT
ejpam-5921	137	7	(	(	PUNCT
ejpam-5921	137	8	c	c	X
ejpam-5921	137	9	)	)	PUNCT
ejpam-5921	137	10	(	(	PUNCT
ejpam-5921	137	11	d	d	X
ejpam-5921	137	12	)	)	PUNCT
ejpam-5921	137	13	(	(	PUNCT
ejpam-5921	137	14	e	e	NOUN
ejpam-5921	137	15	)	)	PUNCT
ejpam-5921	137	16	(	(	PUNCT
ejpam-5921	137	17	f	f	X
ejpam-5921	137	18	)	)	PUNCT
ejpam-5921	137	19	figure	figure	NOUN
ejpam-5921	137	20	2	2	NUM
ejpam-5921	137	21	:	:	PUNCT
ejpam-5921	137	22	pdf	pdf	NOUN
ejpam-5921	137	23	plots	plot	NOUN
ejpam-5921	137	24	of	of	ADP
ejpam-5921	137	25	ρ	ρ	PROPN
ejpam-5921	137	26	besu	besu	NOUN
ejpam-5921	137	27	distribution	distribution	NOUN
ejpam-5921	137	28	for	for	ADP
ejpam-5921	137	29	ρ	ρ	PROPN
ejpam-5921	137	30	=	=	SYM
ejpam-5921	137	31	0.5	0.5	NUM
ejpam-5921	137	32	and	and	CCONJ
ejpam-5921	137	33	different	different	ADJ
ejpam-5921	137	34	values	value	NOUN
ejpam-5921	137	35	of	of	ADP
ejpam-5921	137	36	λ	λ	NOUN
ejpam-5921	137	37	:	:	PUNCT
ejpam-5921	137	38	(	(	PUNCT
ejpam-5921	137	39	a	a	X
ejpam-5921	137	40	)	)	PUNCT
ejpam-5921	137	41	λ	λ	X
ejpam-5921	137	42	=	=	SYM
ejpam-5921	137	43	−0.5	−0.5	PROPN
ejpam-5921	137	44	;	;	PUNCT
ejpam-5921	137	45	(	(	PUNCT
ejpam-5921	137	46	b	b	X
ejpam-5921	137	47	)	)	PUNCT
ejpam-5921	137	48	λ	λ	NOUN
ejpam-5921	138	1	=	=	SYM
ejpam-5921	138	2	−0.25	−0.25	NOUN
ejpam-5921	138	3	;	;	PUNCT
ejpam-5921	138	4	(	(	PUNCT
ejpam-5921	138	5	c	c	X
ejpam-5921	138	6	)	)	PUNCT
ejpam-5921	138	7	λ	λ	NOUN
ejpam-5921	138	8	=	=	SYM
ejpam-5921	138	9	0	0	NUM
ejpam-5921	138	10	;	;	PUNCT
ejpam-5921	138	11	(	(	PUNCT
ejpam-5921	138	12	d	d	X
ejpam-5921	138	13	)	)	PUNCT
ejpam-5921	138	14	λ	λ	NOUN
ejpam-5921	138	15	=	=	NOUN
ejpam-5921	138	16	0.25	0.25	NUM
ejpam-5921	138	17	;	;	PUNCT
ejpam-5921	139	1	(	(	PUNCT
ejpam-5921	139	2	e	e	X
ejpam-5921	139	3	)	)	PUNCT
ejpam-5921	139	4	λ	λ	NOUN
ejpam-5921	139	5	=	=	NOUN
ejpam-5921	139	6	0.5	0.5	NUM
ejpam-5921	139	7	;	;	PUNCT
ejpam-5921	139	8	and	and	CCONJ
ejpam-5921	139	9	(	(	PUNCT
ejpam-5921	139	10	f	f	X
ejpam-5921	139	11	)	)	PUNCT
ejpam-5921	139	12	λ	λ	NOUN
ejpam-5921	139	13	=	=	NOUN
ejpam-5921	139	14	1	1	X
ejpam-5921	139	15	.	.	PUNCT
ejpam-5921	139	16	i.	i.	PROPN
ejpam-5921	139	17	a.	a.	PROPN
ejpam-5921	139	18	lakibul	lakibul	PROPN
ejpam-5921	139	19	,	,	PUNCT
ejpam-5921	139	20	d.	d.	PROPN
ejpam-5921	139	21	l.	l.	PROPN
ejpam-5921	139	22	polestico	polestico	PROPN
ejpam-5921	139	23	,	,	PUNCT
ejpam-5921	139	24	a.	a.	PROPN
ejpam-5921	139	25	p.	p.	NOUN
ejpam-5921	139	26	supe	supe	PROPN
ejpam-5921	139	27	/	/	SYM
ejpam-5921	139	28	eur	eur	PROPN
ejpam-5921	139	29	.	.	PUNCT
ejpam-5921	140	1	j.	j.	PROPN
ejpam-5921	140	2	pure	pure	PROPN
ejpam-5921	140	3	appl	appl	PROPN
ejpam-5921	140	4	.	.	PROPN
ejpam-5921	140	5	math	math	PROPN
ejpam-5921	140	6	,	,	PUNCT
ejpam-5921	140	7	18	18	NUM
ejpam-5921	140	8	(	(	PUNCT
ejpam-5921	140	9	3	3	NUM
ejpam-5921	140	10	)	)	PUNCT
ejpam-5921	140	11	(	(	PUNCT
ejpam-5921	140	12	2025	2025	NUM
ejpam-5921	140	13	)	)	PUNCT
ejpam-5921	140	14	,	,	PUNCT
ejpam-5921	140	15	5921	5921	NUM
ejpam-5921	140	16	7	7	NUM
ejpam-5921	140	17	of	of	ADP
ejpam-5921	140	18	24	24	NUM
ejpam-5921	140	19	figures	figure	NOUN
ejpam-5921	140	20	1	1	NUM
ejpam-5921	140	21	2	2	NUM
ejpam-5921	140	22	present	present	VERB
ejpam-5921	140	23	the	the	DET
ejpam-5921	140	24	bivariate	bivariate	ADJ
ejpam-5921	140	25	plots	plot	NOUN
ejpam-5921	140	26	of	of	ADP
ejpam-5921	140	27	the	the	DET
ejpam-5921	140	28	joint	joint	ADJ
ejpam-5921	140	29	pdf	pdf	NOUN
ejpam-5921	140	30	of	of	ADP
ejpam-5921	140	31	the	the	DET
ejpam-5921	140	32	ρ	ρ	ADJ
ejpam-5921	140	33	-	-	PUNCT
ejpam-5921	140	34	besu	besu	NOUN
ejpam-5921	140	35	distribution	distribution	NOUN
ejpam-5921	140	36	.	.	PUNCT
ejpam-5921	141	1	it	it	PRON
ejpam-5921	141	2	is	be	AUX
ejpam-5921	141	3	observed	observe	VERB
ejpam-5921	141	4	from	from	ADP
ejpam-5921	141	5	the	the	DET
ejpam-5921	141	6	said	say	VERB
ejpam-5921	141	7	figures	figure	NOUN
ejpam-5921	141	8	that	that	SCONJ
ejpam-5921	141	9	the	the	DET
ejpam-5921	141	10	ρ	ρ	ADJ
ejpam-5921	141	11	-	-	PUNCT
ejpam-5921	141	12	besu	besu	NOUN
ejpam-5921	141	13	distribution	distribution	NOUN
ejpam-5921	141	14	can	can	AUX
ejpam-5921	141	15	generate	generate	VERB
ejpam-5921	141	16	different	different	ADJ
ejpam-5921	141	17	bivariate	bivariate	ADJ
ejpam-5921	141	18	behaviors	behavior	NOUN
ejpam-5921	141	19	such	such	ADJ
ejpam-5921	141	20	as	as	ADP
ejpam-5921	141	21	combinations	combination	NOUN
ejpam-5921	141	22	of	of	ADP
ejpam-5921	141	23	bathtub	bathtub	NOUN
ejpam-5921	141	24	and	and	CCONJ
ejpam-5921	141	25	inverted	invert	VERB
ejpam-5921	141	26	bathtub	bathtub	NOUN
ejpam-5921	141	27	shapes	shape	NOUN
ejpam-5921	141	28	,	,	PUNCT
ejpam-5921	141	29	bathtub	bathtub	PROPN
ejpam-5921	141	30	and	and	CCONJ
ejpam-5921	141	31	bathtub	bathtub	PROPN
ejpam-5921	141	32	shapes	shape	NOUN
ejpam-5921	141	33	,	,	PUNCT
ejpam-5921	141	34	inverted	invert	VERB
ejpam-5921	141	35	bathtub	bathtub	NOUN
ejpam-5921	141	36	and	and	CCONJ
ejpam-5921	141	37	inverted	invert	VERB
ejpam-5921	141	38	bathtub	bathtub	ADJ
ejpam-5921	141	39	shapes	shape	NOUN
ejpam-5921	141	40	,	,	PUNCT
ejpam-5921	141	41	among	among	ADP
ejpam-5921	141	42	others	other	NOUN
ejpam-5921	141	43	.	.	PUNCT
ejpam-5921	142	1	2.1	2.1	NUM
ejpam-5921	142	2	.	.	PUNCT
ejpam-5921	142	3	special	special	ADJ
ejpam-5921	142	4	cases	case	NOUN
ejpam-5921	142	5	of	of	ADP
ejpam-5921	142	6	the	the	DET
ejpam-5921	142	7	ρ	ρ	PROPN
ejpam-5921	142	8	besu	besu	NOUN
ejpam-5921	142	9	distribution	distribution	NOUN
ejpam-5921	142	10	this	this	DET
ejpam-5921	142	11	section	section	NOUN
ejpam-5921	142	12	presents	present	VERB
ejpam-5921	142	13	two	two	NUM
ejpam-5921	142	14	new	new	ADJ
ejpam-5921	142	15	special	special	ADJ
ejpam-5921	142	16	cases	case	NOUN
ejpam-5921	142	17	of	of	ADP
ejpam-5921	142	18	the	the	DET
ejpam-5921	142	19	proposed	propose	VERB
ejpam-5921	142	20	generalized	generalized	ADJ
ejpam-5921	142	21	besu	besu	NOUN
ejpam-5921	142	22	distribution	distribution	NOUN
ejpam-5921	142	23	.	.	PUNCT
ejpam-5921	143	1	1	1	X
ejpam-5921	143	2	.	.	X
ejpam-5921	144	1	if	if	SCONJ
ejpam-5921	144	2	λ	λ	PROPN
ejpam-5921	144	3	=	=	SYM
ejpam-5921	144	4	0	0	NUM
ejpam-5921	144	5	,	,	PUNCT
ejpam-5921	144	6	then	then	ADV
ejpam-5921	144	7	the	the	DET
ejpam-5921	144	8	ρ−besu	ρ−besu	NUM
ejpam-5921	144	9	distribution	distribution	NOUN
ejpam-5921	144	10	in	in	ADP
ejpam-5921	144	11	equation	equation	NOUN
ejpam-5921	144	12	(	(	PUNCT
ejpam-5921	144	13	6	6	NUM
ejpam-5921	144	14	)	)	PUNCT
ejpam-5921	144	15	reduces	reduce	VERB
ejpam-5921	144	16	to	to	ADP
ejpam-5921	144	17	f(x	f(x	PROPN
ejpam-5921	144	18	,	,	PUNCT
ejpam-5921	144	19	y	y	NOUN
ejpam-5921	144	20	)	)	PUNCT
ejpam-5921	145	1	=	=	PUNCT
ejpam-5921	146	1	[	[	PUNCT
ejpam-5921	146	2	1.5−	1.5−	NUM
ejpam-5921	146	3	1.5xρ	1.5xρ	NUM
ejpam-5921	146	4	+	+	CCONJ
ejpam-5921	146	5	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	146	6	−	−	NOUN
ejpam-5921	146	7	0.5)(2y	0.5)(2y	PRON
ejpam-5921	146	8	−	−	PROPN
ejpam-5921	146	9	1)2	1)2	NUM
ejpam-5921	146	10	]	]	PUNCT
ejpam-5921	146	11	.	.	PUNCT
ejpam-5921	147	1	(	(	PUNCT
ejpam-5921	147	2	10	10	NUM
ejpam-5921	147	3	)	)	PUNCT
ejpam-5921	147	4	we	we	PRON
ejpam-5921	147	5	refer	refer	VERB
ejpam-5921	147	6	to	to	ADP
ejpam-5921	147	7	the	the	DET
ejpam-5921	147	8	pdf	pdf	NOUN
ejpam-5921	147	9	in	in	ADP
ejpam-5921	147	10	equation	equation	NOUN
ejpam-5921	147	11	(	(	PUNCT
ejpam-5921	147	12	10	10	NUM
ejpam-5921	147	13	)	)	PUNCT
ejpam-5921	147	14	the	the	DET
ejpam-5921	147	15	special	special	ADJ
ejpam-5921	147	16	bivariate	bivariate	ADJ
ejpam-5921	147	17	extended	extended	ADJ
ejpam-5921	147	18	standard	standard	ADJ
ejpam-5921	147	19	u	u	ADJ
ejpam-5921	147	20	-	-	ADJ
ejpam-5921	147	21	quadratic	quadratic	ADJ
ejpam-5921	147	22	type	type	NOUN
ejpam-5921	147	23	i	i	PRON
ejpam-5921	147	24	(	(	PUNCT
ejpam-5921	147	25	sbesu	sbesu	ADJ
ejpam-5921	147	26	-	-	PUNCT
ejpam-5921	147	27	type	type	NOUN
ejpam-5921	147	28	i	i	NOUN
ejpam-5921	147	29	)	)	PUNCT
ejpam-5921	147	30	distribution	distribution	NOUN
ejpam-5921	147	31	.	.	PUNCT
ejpam-5921	148	1	(	(	PUNCT
ejpam-5921	148	2	a	a	X
ejpam-5921	148	3	)	)	PUNCT
ejpam-5921	148	4	(	(	PUNCT
ejpam-5921	148	5	b	b	X
ejpam-5921	148	6	)	)	PUNCT
ejpam-5921	148	7	(	(	PUNCT
ejpam-5921	148	8	c	c	X
ejpam-5921	148	9	)	)	PUNCT
ejpam-5921	148	10	(	(	PUNCT
ejpam-5921	148	11	d	d	X
ejpam-5921	148	12	)	)	PUNCT
ejpam-5921	148	13	(	(	PUNCT
ejpam-5921	148	14	e	e	NOUN
ejpam-5921	148	15	)	)	PUNCT
ejpam-5921	148	16	(	(	PUNCT
ejpam-5921	148	17	f	f	X
ejpam-5921	148	18	)	)	PUNCT
ejpam-5921	148	19	figure	figure	NOUN
ejpam-5921	148	20	3	3	NUM
ejpam-5921	148	21	:	:	PUNCT
ejpam-5921	148	22	pdf	pdf	NOUN
ejpam-5921	148	23	plots	plot	NOUN
ejpam-5921	148	24	of	of	ADP
ejpam-5921	148	25	sbesu	sbesu	ADJ
ejpam-5921	148	26	-	-	PUNCT
ejpam-5921	148	27	type	type	NOUN
ejpam-5921	148	28	i	i	PRON
ejpam-5921	148	29	distribution	distribution	NOUN
ejpam-5921	148	30	for	for	ADP
ejpam-5921	148	31	different	different	ADJ
ejpam-5921	148	32	values	value	NOUN
ejpam-5921	148	33	of	of	ADP
ejpam-5921	148	34	ρ	ρ	NOUN
ejpam-5921	148	35	:	:	PUNCT
ejpam-5921	148	36	(	(	PUNCT
ejpam-5921	148	37	a	a	X
ejpam-5921	148	38	)	)	PUNCT
ejpam-5921	148	39	ρ	ρ	NOUN
ejpam-5921	148	40	=	=	SYM
ejpam-5921	148	41	0	0	NUM
ejpam-5921	148	42	;	;	PUNCT
ejpam-5921	148	43	(	(	PUNCT
ejpam-5921	148	44	b	b	X
ejpam-5921	148	45	)	)	PUNCT
ejpam-5921	148	46	ρ	ρ	PROPN
ejpam-5921	148	47	=	=	SYM
ejpam-5921	148	48	0.5	0.5	NUM
ejpam-5921	148	49	;	;	PUNCT
ejpam-5921	148	50	(	(	PUNCT
ejpam-5921	148	51	c	c	X
ejpam-5921	148	52	)	)	PUNCT
ejpam-5921	148	53	ρ	ρ	NOUN
ejpam-5921	148	54	=	=	SYM
ejpam-5921	148	55	1	1	NUM
ejpam-5921	148	56	;	;	PUNCT
ejpam-5921	148	57	(	(	PUNCT
ejpam-5921	148	58	d	d	X
ejpam-5921	148	59	)	)	PUNCT
ejpam-5921	148	60	ρ	ρ	PROPN
ejpam-5921	148	61	=	=	SYM
ejpam-5921	148	62	1.5	1.5	NUM
ejpam-5921	148	63	;	;	PUNCT
ejpam-5921	148	64	(	(	PUNCT
ejpam-5921	148	65	e	e	NOUN
ejpam-5921	148	66	)	)	PUNCT
ejpam-5921	148	67	ρ	ρ	NOUN
ejpam-5921	148	68	=	=	SYM
ejpam-5921	148	69	2	2	NUM
ejpam-5921	148	70	;	;	PUNCT
ejpam-5921	148	71	and	and	CCONJ
ejpam-5921	148	72	(	(	PUNCT
ejpam-5921	148	73	f	f	X
ejpam-5921	148	74	)	)	PUNCT
ejpam-5921	148	75	ρ	ρ	PROPN
ejpam-5921	148	76	=	=	SYM
ejpam-5921	148	77	2.5	2.5	NUM
ejpam-5921	148	78	.	.	PUNCT
ejpam-5921	149	1	figure	figure	VERB
ejpam-5921	149	2	3	3	NUM
ejpam-5921	149	3	presents	present	VERB
ejpam-5921	149	4	the	the	DET
ejpam-5921	149	5	plots	plot	NOUN
ejpam-5921	149	6	of	of	ADP
ejpam-5921	149	7	the	the	DET
ejpam-5921	149	8	joint	joint	ADJ
ejpam-5921	149	9	pdf	pdf	NOUN
ejpam-5921	149	10	of	of	ADP
ejpam-5921	149	11	the	the	DET
ejpam-5921	149	12	sbesu	sbesu	ADJ
ejpam-5921	149	13	-	-	PUNCT
ejpam-5921	149	14	type	type	NOUN
ejpam-5921	149	15	i	i	PRON
ejpam-5921	149	16	distribution	distribution	NOUN
ejpam-5921	149	17	for	for	ADP
ejpam-5921	149	18	varying	vary	VERB
ejpam-5921	149	19	values	value	NOUN
ejpam-5921	149	20	of	of	ADP
ejpam-5921	149	21	ρ	ρ	PROPN
ejpam-5921	149	22	.	.	PUNCT
ejpam-5921	150	1	it	it	PRON
ejpam-5921	150	2	is	be	AUX
ejpam-5921	150	3	observed	observe	VERB
ejpam-5921	150	4	that	that	SCONJ
ejpam-5921	150	5	the	the	DET
ejpam-5921	150	6	sbesu	sbesu	ADJ
ejpam-5921	150	7	-	-	PUNCT
ejpam-5921	150	8	type	type	NOUN
ejpam-5921	150	9	i	i	PRON
ejpam-5921	150	10	distribution	distribution	NOUN
ejpam-5921	150	11	can	can	AUX
ejpam-5921	150	12	represent	represent	VERB
ejpam-5921	150	13	bivariate	bivariate	ADJ
ejpam-5921	150	14	behaviors	behavior	NOUN
ejpam-5921	150	15	with	with	ADP
ejpam-5921	150	16	the	the	DET
ejpam-5921	150	17	following	follow	VERB
ejpam-5921	150	18	combination	combination	NOUN
ejpam-5921	150	19	:	:	PUNCT
ejpam-5921	150	20	(	(	PUNCT
ejpam-5921	150	21	i	i	NOUN
ejpam-5921	150	22	)	)	PUNCT
ejpam-5921	150	23	x	x	PUNCT
ejpam-5921	150	24	has	have	VERB
ejpam-5921	150	25	constant	constant	ADJ
ejpam-5921	150	26	and	and	CCONJ
ejpam-5921	150	27	y	y	PROPN
ejpam-5921	150	28	has	have	VERB
ejpam-5921	150	29	bathtub	bathtub	VERB
ejpam-5921	150	30	shapes	shape	NOUN
ejpam-5921	150	31	;	;	PUNCT
ejpam-5921	150	32	and	and	CCONJ
ejpam-5921	150	33	(	(	PUNCT
ejpam-5921	150	34	ii	ii	NOUN
ejpam-5921	150	35	)	)	PUNCT
ejpam-5921	150	36	x	x	PUNCT
ejpam-5921	150	37	has	have	VERB
ejpam-5921	150	38	constant	constant	ADJ
ejpam-5921	150	39	and	and	CCONJ
ejpam-5921	150	40	y	y	PROPN
ejpam-5921	150	41	has	have	AUX
ejpam-5921	150	42	inverted	invert	VERB
ejpam-5921	150	43	bathtub	bathtub	NOUN
ejpam-5921	150	44	behaviors	behavior	NOUN
ejpam-5921	150	45	.	.	PUNCT
ejpam-5921	151	1	i.	i.	PROPN
ejpam-5921	151	2	a.	a.	PROPN
ejpam-5921	151	3	lakibul	lakibul	PROPN
ejpam-5921	151	4	,	,	PUNCT
ejpam-5921	151	5	d.	d.	PROPN
ejpam-5921	151	6	l.	l.	PROPN
ejpam-5921	151	7	polestico	polestico	PROPN
ejpam-5921	151	8	,	,	PUNCT
ejpam-5921	151	9	a.	a.	PROPN
ejpam-5921	151	10	p.	p.	NOUN
ejpam-5921	151	11	supe	supe	PROPN
ejpam-5921	151	12	/	/	SYM
ejpam-5921	151	13	eur	eur	PROPN
ejpam-5921	151	14	.	.	PUNCT
ejpam-5921	152	1	j.	j.	PROPN
ejpam-5921	152	2	pure	pure	PROPN
ejpam-5921	152	3	appl	appl	PROPN
ejpam-5921	152	4	.	.	PROPN
ejpam-5921	152	5	math	math	PROPN
ejpam-5921	152	6	,	,	PUNCT
ejpam-5921	152	7	18	18	NUM
ejpam-5921	152	8	(	(	PUNCT
ejpam-5921	152	9	3	3	NUM
ejpam-5921	152	10	)	)	PUNCT
ejpam-5921	152	11	(	(	PUNCT
ejpam-5921	152	12	2025	2025	NUM
ejpam-5921	152	13	)	)	PUNCT
ejpam-5921	152	14	,	,	PUNCT
ejpam-5921	152	15	5921	5921	NUM
ejpam-5921	152	16	8	8	NUM
ejpam-5921	152	17	of	of	ADP
ejpam-5921	152	18	24	24	NUM
ejpam-5921	152	19	2	2	NUM
ejpam-5921	152	20	.	.	PUNCT
ejpam-5921	153	1	if	if	SCONJ
ejpam-5921	153	2	ρ	ρ	PROPN
ejpam-5921	153	3	=	=	SYM
ejpam-5921	153	4	0	0	NUM
ejpam-5921	153	5	,	,	PUNCT
ejpam-5921	153	6	then	then	ADV
ejpam-5921	153	7	the	the	DET
ejpam-5921	153	8	ρ−besu	ρ−besu	NUM
ejpam-5921	153	9	distribution	distribution	NOUN
ejpam-5921	153	10	reduces	reduce	VERB
ejpam-5921	153	11	to	to	ADP
ejpam-5921	153	12	f(x	f(x	PROPN
ejpam-5921	153	13	,	,	PUNCT
ejpam-5921	153	14	y	y	NOUN
ejpam-5921	153	15	)	)	PUNCT
ejpam-5921	154	1	=	=	SYM
ejpam-5921	155	1	3(2y	3(2y	NUM
ejpam-5921	156	1	−	−	NUM
ejpam-5921	156	2	1)2	1)2	NUM
ejpam-5921	156	3	[	[	PUNCT
ejpam-5921	156	4	1−	1−	NUM
ejpam-5921	156	5	λ+	λ+	PUNCT
ejpam-5921	156	6	3λ(2x−	3λ(2x−	NUM
ejpam-5921	156	7	1)2	1)2	NUM
ejpam-5921	156	8	]	]	PUNCT
ejpam-5921	156	9	.	.	PUNCT
ejpam-5921	157	1	(	(	PUNCT
ejpam-5921	157	2	11	11	NUM
ejpam-5921	157	3	)	)	PUNCT
ejpam-5921	157	4	equation	equation	NOUN
ejpam-5921	157	5	(	(	PUNCT
ejpam-5921	157	6	11	11	NUM
ejpam-5921	157	7	)	)	PUNCT
ejpam-5921	157	8	is	be	AUX
ejpam-5921	157	9	the	the	DET
ejpam-5921	157	10	pdf	pdf	NOUN
ejpam-5921	157	11	of	of	ADP
ejpam-5921	157	12	the	the	DET
ejpam-5921	157	13	special	special	ADJ
ejpam-5921	157	14	bivariate	bivariate	ADJ
ejpam-5921	157	15	extended	extended	ADJ
ejpam-5921	157	16	standard	standard	ADJ
ejpam-5921	157	17	u	u	ADJ
ejpam-5921	157	18	-	-	ADJ
ejpam-5921	157	19	quadratic	quadratic	ADJ
ejpam-5921	157	20	type	type	NOUN
ejpam-5921	157	21	ii	ii	NOUN
ejpam-5921	157	22	(	(	PUNCT
ejpam-5921	157	23	sbesu	sbesu	PROPN
ejpam-5921	157	24	type	type	PROPN
ejpam-5921	157	25	ii	ii	NOUN
ejpam-5921	157	26	)	)	PUNCT
ejpam-5921	157	27	distribution	distribution	NOUN
ejpam-5921	157	28	.	.	PUNCT
ejpam-5921	158	1	(	(	PUNCT
ejpam-5921	158	2	a	a	X
ejpam-5921	158	3	)	)	PUNCT
ejpam-5921	158	4	(	(	PUNCT
ejpam-5921	158	5	b	b	X
ejpam-5921	158	6	)	)	PUNCT
ejpam-5921	158	7	(	(	PUNCT
ejpam-5921	158	8	c	c	X
ejpam-5921	158	9	)	)	PUNCT
ejpam-5921	158	10	(	(	PUNCT
ejpam-5921	158	11	d	d	X
ejpam-5921	158	12	)	)	PUNCT
ejpam-5921	158	13	(	(	PUNCT
ejpam-5921	158	14	e	e	NOUN
ejpam-5921	158	15	)	)	PUNCT
ejpam-5921	158	16	(	(	PUNCT
ejpam-5921	158	17	f	f	X
ejpam-5921	158	18	)	)	PUNCT
ejpam-5921	158	19	figure	figure	NOUN
ejpam-5921	158	20	4	4	NUM
ejpam-5921	158	21	:	:	PUNCT
ejpam-5921	158	22	pdf	pdf	NOUN
ejpam-5921	158	23	plots	plot	NOUN
ejpam-5921	158	24	of	of	ADP
ejpam-5921	158	25	sbesu	sbesu	ADJ
ejpam-5921	158	26	-	-	PUNCT
ejpam-5921	158	27	type	type	NOUN
ejpam-5921	158	28	ii	ii	NOUN
ejpam-5921	158	29	distribution	distribution	NOUN
ejpam-5921	158	30	for	for	ADP
ejpam-5921	158	31	different	different	ADJ
ejpam-5921	158	32	values	value	NOUN
ejpam-5921	158	33	of	of	ADP
ejpam-5921	158	34	λ	λ	NOUN
ejpam-5921	158	35	:	:	PUNCT
ejpam-5921	158	36	(	(	PUNCT
ejpam-5921	158	37	a	a	X
ejpam-5921	158	38	)	)	PUNCT
ejpam-5921	158	39	λ	λ	X
ejpam-5921	158	40	=	=	SYM
ejpam-5921	158	41	−0.5	−0.5	PROPN
ejpam-5921	158	42	;	;	PUNCT
ejpam-5921	158	43	(	(	PUNCT
ejpam-5921	158	44	b	b	X
ejpam-5921	158	45	)	)	PUNCT
ejpam-5921	158	46	λ	λ	NOUN
ejpam-5921	159	1	=	=	SYM
ejpam-5921	159	2	−0.25	−0.25	NOUN
ejpam-5921	159	3	;	;	PUNCT
ejpam-5921	159	4	(	(	PUNCT
ejpam-5921	159	5	c	c	X
ejpam-5921	159	6	)	)	PUNCT
ejpam-5921	159	7	λ	λ	NOUN
ejpam-5921	159	8	=	=	SYM
ejpam-5921	159	9	0	0	NUM
ejpam-5921	159	10	;	;	PUNCT
ejpam-5921	159	11	(	(	PUNCT
ejpam-5921	159	12	d	d	X
ejpam-5921	159	13	)	)	PUNCT
ejpam-5921	159	14	λ	λ	NOUN
ejpam-5921	159	15	=	=	NOUN
ejpam-5921	159	16	0.25	0.25	NUM
ejpam-5921	159	17	;	;	PUNCT
ejpam-5921	160	1	(	(	PUNCT
ejpam-5921	160	2	e	e	X
ejpam-5921	160	3	)	)	PUNCT
ejpam-5921	160	4	λ	λ	NOUN
ejpam-5921	160	5	=	=	NOUN
ejpam-5921	160	6	0.5	0.5	NUM
ejpam-5921	160	7	;	;	PUNCT
ejpam-5921	160	8	and	and	CCONJ
ejpam-5921	160	9	(	(	PUNCT
ejpam-5921	160	10	f	f	X
ejpam-5921	160	11	)	)	PUNCT
ejpam-5921	160	12	λ	λ	NOUN
ejpam-5921	160	13	=	=	NOUN
ejpam-5921	160	14	1	1	X
ejpam-5921	160	15	.	.	X
ejpam-5921	160	16	figure	figure	VERB
ejpam-5921	160	17	4	4	NUM
ejpam-5921	160	18	presents	present	VERB
ejpam-5921	160	19	the	the	DET
ejpam-5921	160	20	plots	plot	NOUN
ejpam-5921	160	21	of	of	ADP
ejpam-5921	160	22	the	the	DET
ejpam-5921	160	23	joint	joint	ADJ
ejpam-5921	160	24	pdf	pdf	NOUN
ejpam-5921	160	25	of	of	ADP
ejpam-5921	160	26	the	the	DET
ejpam-5921	160	27	sbesu	sbesu	ADJ
ejpam-5921	160	28	-	-	PUNCT
ejpam-5921	160	29	type	type	NOUN
ejpam-5921	160	30	ii	ii	NOUN
ejpam-5921	160	31	distribution	distribution	NOUN
ejpam-5921	160	32	for	for	ADP
ejpam-5921	160	33	varying	vary	VERB
ejpam-5921	160	34	values	value	NOUN
ejpam-5921	160	35	of	of	ADP
ejpam-5921	160	36	λ	λ	PROPN
ejpam-5921	160	37	.	.	PUNCT
ejpam-5921	161	1	it	it	PRON
ejpam-5921	161	2	is	be	AUX
ejpam-5921	161	3	observed	observe	VERB
ejpam-5921	161	4	that	that	SCONJ
ejpam-5921	161	5	the	the	DET
ejpam-5921	161	6	sbesu	sbesu	ADJ
ejpam-5921	161	7	-	-	PUNCT
ejpam-5921	161	8	type	type	NOUN
ejpam-5921	161	9	ii	ii	NOUN
ejpam-5921	161	10	distribution	distribution	NOUN
ejpam-5921	161	11	can	can	AUX
ejpam-5921	161	12	generate	generate	VERB
ejpam-5921	161	13	bivariate	bivariate	ADJ
ejpam-5921	161	14	behaviors	behavior	NOUN
ejpam-5921	161	15	with	with	ADP
ejpam-5921	161	16	the	the	DET
ejpam-5921	161	17	following	follow	VERB
ejpam-5921	161	18	combination	combination	NOUN
ejpam-5921	161	19	:	:	PUNCT
ejpam-5921	161	20	(	(	PUNCT
ejpam-5921	161	21	i	i	NOUN
ejpam-5921	161	22	)	)	PUNCT
ejpam-5921	161	23	x	x	PUNCT
ejpam-5921	161	24	and	and	CCONJ
ejpam-5921	161	25	y	y	PROPN
ejpam-5921	161	26	have	have	VERB
ejpam-5921	161	27	bathtub	bathtub	NOUN
ejpam-5921	161	28	shapes	shape	NOUN
ejpam-5921	161	29	;	;	PUNCT
ejpam-5921	161	30	(	(	PUNCT
ejpam-5921	161	31	ii	ii	NOUN
ejpam-5921	161	32	)	)	PUNCT
ejpam-5921	162	1	x	x	PUNCT
ejpam-5921	162	2	has	have	AUX
ejpam-5921	162	3	bathtub	bathtub	NOUN
ejpam-5921	162	4	and	and	CCONJ
ejpam-5921	162	5	y	y	PROPN
ejpam-5921	162	6	has	have	AUX
ejpam-5921	162	7	inverted	invert	VERB
ejpam-5921	162	8	bathtub	bathtub	NOUN
ejpam-5921	162	9	behaviors	behavior	NOUN
ejpam-5921	162	10	;	;	PUNCT
ejpam-5921	162	11	(	(	PUNCT
ejpam-5921	162	12	iii	iii	X
ejpam-5921	162	13	)	)	PUNCT
ejpam-5921	162	14	x	x	PUNCT
ejpam-5921	162	15	has	have	AUX
ejpam-5921	162	16	bathtub	bathtub	NOUN
ejpam-5921	162	17	and	and	CCONJ
ejpam-5921	162	18	y	y	PROPN
ejpam-5921	162	19	has	have	VERB
ejpam-5921	162	20	constant	constant	ADJ
ejpam-5921	162	21	shapes	shape	NOUN
ejpam-5921	162	22	.	.	PUNCT
ejpam-5921	163	1	3	3	X
ejpam-5921	163	2	.	.	X
ejpam-5921	163	3	some	some	DET
ejpam-5921	163	4	properties	property	NOUN
ejpam-5921	163	5	of	of	ADP
ejpam-5921	163	6	the	the	DET
ejpam-5921	163	7	ρ	ρ	NOUN
ejpam-5921	163	8	bivariate	bivariate	ADJ
ejpam-5921	163	9	extended	extend	VERB
ejpam-5921	163	10	standard	standard	ADJ
ejpam-5921	163	11	u	u	ADJ
ejpam-5921	163	12	-	-	ADJ
ejpam-5921	163	13	quadratic	quadratic	ADJ
ejpam-5921	163	14	distribution	distribution	NOUN
ejpam-5921	163	15	this	this	DET
ejpam-5921	163	16	section	section	NOUN
ejpam-5921	163	17	presents	present	VERB
ejpam-5921	163	18	some	some	DET
ejpam-5921	163	19	properties	property	NOUN
ejpam-5921	163	20	of	of	ADP
ejpam-5921	163	21	the	the	DET
ejpam-5921	163	22	proposed	propose	VERB
ejpam-5921	163	23	generalized	generalized	ADJ
ejpam-5921	163	24	besu	besu	NOUN
ejpam-5921	163	25	distribution	distribution	NOUN
ejpam-5921	163	26	such	such	ADJ
ejpam-5921	163	27	as	as	ADP
ejpam-5921	163	28	the	the	DET
ejpam-5921	163	29	marginal	marginal	ADJ
ejpam-5921	163	30	distributions	distribution	NOUN
ejpam-5921	163	31	,	,	PUNCT
ejpam-5921	163	32	conditional	conditional	ADJ
ejpam-5921	163	33	distribution	distribution	NOUN
ejpam-5921	163	34	,	,	PUNCT
ejpam-5921	163	35	conditional	conditional	ADJ
ejpam-5921	163	36	moment	moment	NOUN
ejpam-5921	163	37	,	,	PUNCT
ejpam-5921	163	38	conditional	conditional	ADJ
ejpam-5921	163	39	mean	mean	NOUN
ejpam-5921	163	40	,	,	PUNCT
ejpam-5921	163	41	conditional	conditional	ADJ
ejpam-5921	163	42	variance	variance	NOUN
ejpam-5921	163	43	,	,	PUNCT
ejpam-5921	163	44	product	product	NOUN
ejpam-5921	163	45	and	and	CCONJ
ejpam-5921	163	46	ratio	ratio	NOUN
ejpam-5921	163	47	moments	moment	NOUN
ejpam-5921	163	48	,	,	PUNCT
ejpam-5921	163	49	covariance	covariance	NOUN
ejpam-5921	163	50	,	,	PUNCT
ejpam-5921	163	51	pearson	pearson	NOUN
ejpam-5921	163	52	correlation	correlation	NOUN
ejpam-5921	163	53	,	,	PUNCT
ejpam-5921	163	54	joint	joint	ADJ
ejpam-5921	163	55	moment	moment	NOUN
ejpam-5921	163	56	generating	generate	VERB
ejpam-5921	163	57	function	function	NOUN
ejpam-5921	163	58	,	,	PUNCT
ejpam-5921	163	59	kendall	kendall	PROPN
ejpam-5921	163	60	’s	’s	PART
ejpam-5921	163	61	tau	tau	PROPN
ejpam-5921	163	62	coefficient	coefficient	NOUN
ejpam-5921	163	63	,	,	PUNCT
ejpam-5921	163	64	spearman	spearman	NOUN
ejpam-5921	163	65	’s	’s	PART
ejpam-5921	163	66	rho	rho	ADJ
ejpam-5921	163	67	coefficient	coefficient	NOUN
ejpam-5921	163	68	,	,	PUNCT
ejpam-5921	163	69	and	and	CCONJ
ejpam-5921	163	70	the	the	DET
ejpam-5921	163	71	stress	stress	NOUN
ejpam-5921	163	72	strength	strength	NOUN
ejpam-5921	163	73	parameter	parameter	NOUN
ejpam-5921	163	74	.	.	PUNCT
ejpam-5921	164	1	i.	i.	PROPN
ejpam-5921	164	2	a.	a.	PROPN
ejpam-5921	164	3	lakibul	lakibul	PROPN
ejpam-5921	164	4	,	,	PUNCT
ejpam-5921	164	5	d.	d.	PROPN
ejpam-5921	164	6	l.	l.	PROPN
ejpam-5921	164	7	polestico	polestico	PROPN
ejpam-5921	164	8	,	,	PUNCT
ejpam-5921	164	9	a.	a.	PROPN
ejpam-5921	164	10	p.	p.	NOUN
ejpam-5921	164	11	supe	supe	PROPN
ejpam-5921	164	12	/	/	SYM
ejpam-5921	164	13	eur	eur	PROPN
ejpam-5921	164	14	.	.	PUNCT
ejpam-5921	165	1	j.	j.	PROPN
ejpam-5921	165	2	pure	pure	PROPN
ejpam-5921	165	3	appl	appl	PROPN
ejpam-5921	165	4	.	.	PROPN
ejpam-5921	165	5	math	math	PROPN
ejpam-5921	165	6	,	,	PUNCT
ejpam-5921	165	7	18	18	NUM
ejpam-5921	165	8	(	(	PUNCT
ejpam-5921	165	9	3	3	NUM
ejpam-5921	165	10	)	)	PUNCT
ejpam-5921	165	11	(	(	PUNCT
ejpam-5921	165	12	2025	2025	NUM
ejpam-5921	165	13	)	)	PUNCT
ejpam-5921	165	14	,	,	PUNCT
ejpam-5921	165	15	5921	5921	NUM
ejpam-5921	165	16	9	9	NUM
ejpam-5921	165	17	of	of	ADP
ejpam-5921	165	18	24	24	NUM
ejpam-5921	165	19	theorem	theorem	NOUN
ejpam-5921	165	20	2	2	NUM
ejpam-5921	165	21	.	.	PUNCT
ejpam-5921	166	1	let	let	VERB
ejpam-5921	166	2	(	(	PUNCT
ejpam-5921	166	3	x	x	X
ejpam-5921	166	4	,	,	PUNCT
ejpam-5921	166	5	y	y	PROPN
ejpam-5921	166	6	)	)	PUNCT
ejpam-5921	166	7	be	be	AUX
ejpam-5921	166	8	a	a	DET
ejpam-5921	166	9	bivariate	bivariate	ADJ
ejpam-5921	166	10	random	random	ADJ
ejpam-5921	166	11	vector	vector	NOUN
ejpam-5921	166	12	with	with	ADP
ejpam-5921	166	13	joint	joint	ADJ
ejpam-5921	166	14	probability	probability	NOUN
ejpam-5921	166	15	density	density	NOUN
ejpam-5921	166	16	function	function	NOUN
ejpam-5921	166	17	given	give	VERB
ejpam-5921	166	18	in	in	ADP
ejpam-5921	166	19	equation	equation	NOUN
ejpam-5921	166	20	(	(	PUNCT
ejpam-5921	166	21	6	6	NUM
ejpam-5921	166	22	)	)	PUNCT
ejpam-5921	166	23	.	.	PUNCT
ejpam-5921	167	1	then	then	ADV
ejpam-5921	167	2	the	the	DET
ejpam-5921	167	3	marginal	marginal	ADJ
ejpam-5921	167	4	density	density	NOUN
ejpam-5921	167	5	function	function	NOUN
ejpam-5921	167	6	of	of	ADP
ejpam-5921	167	7	y	y	PROPN
ejpam-5921	167	8	follows	follow	VERB
ejpam-5921	167	9	an	an	DET
ejpam-5921	167	10	extended	extended	ADJ
ejpam-5921	167	11	standard	standard	ADJ
ejpam-5921	167	12	u	u	NOUN
ejpam-5921	167	13	-	-	ADJ
ejpam-5921	167	14	quadratic	quadratic	ADJ
ejpam-5921	167	15	(	(	PUNCT
ejpam-5921	167	16	esu	esu	NOUN
ejpam-5921	167	17	)	)	PUNCT
ejpam-5921	167	18	distribution	distribution	NOUN
ejpam-5921	167	19	with	with	ADP
ejpam-5921	167	20	parameter	parameter	NOUN
ejpam-5921	167	21	λ∗	λ∗	PROPN
ejpam-5921	168	1	=	=	PUNCT
ejpam-5921	168	2	1.5δ	1.5δ	NUM
ejpam-5921	168	3	−	−	NOUN
ejpam-5921	168	4	0.5	0.5	NUM
ejpam-5921	168	5	,	,	PUNCT
ejpam-5921	168	6	where	where	SCONJ
ejpam-5921	168	7	δ	δ	PROPN
ejpam-5921	168	8	=	=	PRON
ejpam-5921	168	9	(	(	PUNCT
ejpam-5921	168	10	1	1	NUM
ejpam-5921	168	11	+	+	NOUN
ejpam-5921	168	12	2λ)ρ2+(5−2λ)ρ+6	2λ)ρ2+(5−2λ)ρ+6	NUM
ejpam-5921	168	13	(	(	PUNCT
ejpam-5921	168	14	ρ+1)(ρ+2)(ρ+3	ρ+1)(ρ+2)(ρ+3	NUM
ejpam-5921	168	15	)	)	PUNCT
ejpam-5921	168	16	,	,	PUNCT
ejpam-5921	168	17	λ	λ	PROPN
ejpam-5921	168	18	∈	∈	PROPN
ejpam-5921	169	1	[	[	X
ejpam-5921	169	2	−0.5	−0.5	PROPN
ejpam-5921	169	3	,	,	PUNCT
ejpam-5921	169	4	1	1	NUM
ejpam-5921	169	5	]	]	PUNCT
ejpam-5921	169	6	and	and	CCONJ
ejpam-5921	169	7	ρ	ρ	PRON
ejpam-5921	169	8	≥	≥	NOUN
ejpam-5921	169	9	0	0	NUM
ejpam-5921	169	10	.	.	PUNCT
ejpam-5921	170	1	proof	proof	NOUN
ejpam-5921	170	2	.	.	PUNCT
ejpam-5921	171	1	the	the	DET
ejpam-5921	171	2	marginal	marginal	ADJ
ejpam-5921	171	3	distribution	distribution	NOUN
ejpam-5921	171	4	of	of	ADP
ejpam-5921	171	5	y	y	PROPN
ejpam-5921	171	6	is	be	AUX
ejpam-5921	171	7	defined	define	VERB
ejpam-5921	171	8	as	as	ADP
ejpam-5921	171	9	f(y	f(y	NOUN
ejpam-5921	171	10	)	)	PUNCT
ejpam-5921	172	1	=	=	SYM
ejpam-5921	172	2	∫	∫	PROPN
ejpam-5921	172	3	1	1	NUM
ejpam-5921	172	4	0	0	NUM
ejpam-5921	172	5	f(x	f(x	PROPN
ejpam-5921	172	6	,	,	PUNCT
ejpam-5921	172	7	y)dx	y)dx	PROPN
ejpam-5921	172	8	=	=	SYM
ejpam-5921	172	9	∫	∫	PROPN
ejpam-5921	172	10	1	1	NUM
ejpam-5921	172	11	0	0	NUM
ejpam-5921	173	1	[	[	PUNCT
ejpam-5921	173	2	1.5−	1.5−	NUM
ejpam-5921	173	3	1.5xρ	1.5xρ	NUM
ejpam-5921	173	4	+	+	CCONJ
ejpam-5921	173	5	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	173	6	−	−	NOUN
ejpam-5921	173	7	0.5)(2y	0.5)(2y	PRON
ejpam-5921	173	8	−	−	PROPN
ejpam-5921	173	9	1)2	1)2	NUM
ejpam-5921	173	10	]	]	PUNCT
ejpam-5921	173	11	f(x)dx	f(x)dx	PROPN
ejpam-5921	173	12	=	=	NOUN
ejpam-5921	173	13	1.5	1.5	NUM
ejpam-5921	173	14	[	[	PUNCT
ejpam-5921	173	15	1−	1−	NUM
ejpam-5921	173	16	(	(	PUNCT
ejpam-5921	173	17	2y	2y	NOUN
ejpam-5921	173	18	−	−	PROPN
ejpam-5921	173	19	1)2	1)2	NUM
ejpam-5921	173	20	]	]	PUNCT
ejpam-5921	173	21	∫	∫	PROPN
ejpam-5921	173	22	1	1	NUM
ejpam-5921	173	23	0	0	NUM
ejpam-5921	174	1	f(x)dx−	f(x)dx−	PROPN
ejpam-5921	174	2	1.5	1.5	NUM
ejpam-5921	174	3	[	[	PUNCT
ejpam-5921	174	4	1−	1−	NUM
ejpam-5921	174	5	3(2y	3(2y	NUM
ejpam-5921	174	6	−	−	PROPN
ejpam-5921	175	1	1)2	1)2	NUM
ejpam-5921	175	2	]	]	PUNCT
ejpam-5921	175	3	∫	∫	PROPN
ejpam-5921	175	4	1	1	NUM
ejpam-5921	175	5	0	0	NUM
ejpam-5921	175	6	xρf(x)dx	xρf(x)dx	NUM
ejpam-5921	175	7	.	.	PUNCT
ejpam-5921	176	1	(	(	PUNCT
ejpam-5921	176	2	12	12	NUM
ejpam-5921	176	3	)	)	PUNCT
ejpam-5921	176	4	observe	observe	VERB
ejpam-5921	176	5	that	that	SCONJ
ejpam-5921	176	6	the	the	DET
ejpam-5921	176	7	first	first	ADJ
ejpam-5921	176	8	part	part	NOUN
ejpam-5921	176	9	of	of	ADP
ejpam-5921	176	10	equation	equation	NOUN
ejpam-5921	176	11	(	(	PUNCT
ejpam-5921	176	12	12	12	NUM
ejpam-5921	176	13	)	)	PUNCT
ejpam-5921	176	14	simplifies	simplifie	NOUN
ejpam-5921	176	15	to	to	ADP
ejpam-5921	176	16	1.5	1.5	NUM
ejpam-5921	176	17	[	[	PUNCT
ejpam-5921	176	18	1−	1−	NUM
ejpam-5921	176	19	(	(	PUNCT
ejpam-5921	176	20	2y	2y	NOUN
ejpam-5921	176	21	−	−	PROPN
ejpam-5921	176	22	1)2	1)2	NUM
ejpam-5921	176	23	]	]	PUNCT
ejpam-5921	176	24	since	since	SCONJ
ejpam-5921	176	25	f(x	f(x	PROPN
ejpam-5921	176	26	)	)	PUNCT
ejpam-5921	176	27	is	be	AUX
ejpam-5921	176	28	a	a	DET
ejpam-5921	176	29	pdf	pdf	NOUN
ejpam-5921	176	30	of	of	ADP
ejpam-5921	176	31	an	an	DET
ejpam-5921	176	32	esu	esu	NOUN
ejpam-5921	176	33	distribution	distribution	NOUN
ejpam-5921	176	34	for	for	ADP
ejpam-5921	176	35	a	a	DET
ejpam-5921	176	36	random	random	ADJ
ejpam-5921	176	37	variable	variable	NOUN
ejpam-5921	176	38	x.	x.	NOUN
ejpam-5921	176	39	furthermore,∫	furthermore,∫	VERB
ejpam-5921	177	1	1	1	NUM
ejpam-5921	177	2	0	0	NUM
ejpam-5921	177	3	xρf(x)dx	xρf(x)dx	NUM
ejpam-5921	178	1	=	=	SYM
ejpam-5921	178	2	∫	∫	PROPN
ejpam-5921	178	3	1	1	NUM
ejpam-5921	178	4	0	0	NUM
ejpam-5921	178	5	xρ	xρ	PROPN
ejpam-5921	179	1	[	[	PUNCT
ejpam-5921	179	2	(	(	PUNCT
ejpam-5921	179	3	1−	1−	NUM
ejpam-5921	179	4	λ	λ	NOUN
ejpam-5921	179	5	)	)	PUNCT
ejpam-5921	180	1	+	+	NUM
ejpam-5921	180	2	3λ(2x−	3λ(2x−	NUM
ejpam-5921	180	3	1)2	1)2	NUM
ejpam-5921	180	4	]	]	PUNCT
ejpam-5921	180	5	dx	dx	PROPN
ejpam-5921	180	6	=	=	PUNCT
ejpam-5921	180	7	(	(	PUNCT
ejpam-5921	180	8	1	1	NUM
ejpam-5921	180	9	+	+	NUM
ejpam-5921	180	10	2λ)ρ2	2λ)ρ2	NUM
ejpam-5921	180	11	+	+	CCONJ
ejpam-5921	180	12	(	(	PUNCT
ejpam-5921	180	13	5−	5−	NUM
ejpam-5921	180	14	2λ)ρ+	2λ)ρ+	NUM
ejpam-5921	180	15	6	6	NUM
ejpam-5921	180	16	(	(	PUNCT
ejpam-5921	180	17	ρ+	ρ+	NUM
ejpam-5921	180	18	1)(ρ+	1)(ρ+	NUM
ejpam-5921	180	19	2)(ρ+	2)(ρ+	NUM
ejpam-5921	180	20	3	3	NUM
ejpam-5921	180	21	)	)	PUNCT
ejpam-5921	180	22	=	=	SYM
ejpam-5921	180	23	δ	δ	PROPN
ejpam-5921	180	24	.	.	PUNCT
ejpam-5921	181	1	it	it	PRON
ejpam-5921	181	2	follows	follow	VERB
ejpam-5921	181	3	that	that	SCONJ
ejpam-5921	181	4	equation	equation	NOUN
ejpam-5921	181	5	(	(	PUNCT
ejpam-5921	181	6	12	12	NUM
ejpam-5921	181	7	)	)	PUNCT
ejpam-5921	181	8	simplifies	simplifie	NOUN
ejpam-5921	181	9	to	to	PART
ejpam-5921	181	10	f(y	f(y	VERB
ejpam-5921	181	11	)	)	PUNCT
ejpam-5921	182	1	=	=	PROPN
ejpam-5921	182	2	1−	1−	NUM
ejpam-5921	182	3	λ∗	λ∗	NOUN
ejpam-5921	183	1	+	+	CCONJ
ejpam-5921	183	2	3λ∗(2y	3λ∗(2y	NUM
ejpam-5921	183	3	−	−	NOUN
ejpam-5921	184	1	1)2	1)2	NUM
ejpam-5921	184	2	,	,	PUNCT
ejpam-5921	184	3	where	where	SCONJ
ejpam-5921	184	4	y	y	PROPN
ejpam-5921	184	5	∈	∈	PROPN
ejpam-5921	185	1	[	[	X
ejpam-5921	185	2	0	0	NUM
ejpam-5921	185	3	,	,	PUNCT
ejpam-5921	185	4	1	1	NUM
ejpam-5921	185	5	]	]	PUNCT
ejpam-5921	185	6	and	and	CCONJ
ejpam-5921	185	7	λ∗	λ∗	NOUN
ejpam-5921	185	8	=	=	SYM
ejpam-5921	186	1	1.5δ	1.5δ	NUM
ejpam-5921	186	2	−	−	NOUN
ejpam-5921	186	3	0.5	0.5	NUM
ejpam-5921	186	4	.	.	PUNCT
ejpam-5921	187	1	thus	thus	ADV
ejpam-5921	187	2	,	,	PUNCT
ejpam-5921	187	3	the	the	DET
ejpam-5921	187	4	marginal	marginal	ADJ
ejpam-5921	187	5	distribution	distribution	NOUN
ejpam-5921	187	6	of	of	ADP
ejpam-5921	187	7	y	y	PROPN
ejpam-5921	187	8	is	be	AUX
ejpam-5921	187	9	esu	esu	NOUN
ejpam-5921	187	10	with	with	ADP
ejpam-5921	187	11	parameter	parameter	NOUN
ejpam-5921	187	12	λ∗.	λ∗.	ADP
ejpam-5921	187	13	corollary	corollary	ADJ
ejpam-5921	187	14	3	3	X
ejpam-5921	187	15	.	.	PUNCT
ejpam-5921	188	1	let	let	VERB
ejpam-5921	188	2	y	y	PRON
ejpam-5921	188	3	be	be	AUX
ejpam-5921	188	4	a	a	DET
ejpam-5921	188	5	random	random	ADJ
ejpam-5921	188	6	variable	variable	NOUN
ejpam-5921	188	7	that	that	PRON
ejpam-5921	188	8	follows	follow	VERB
ejpam-5921	188	9	an	an	DET
ejpam-5921	188	10	esu	esu	NOUN
ejpam-5921	188	11	distribution	distribution	NOUN
ejpam-5921	188	12	with	with	ADP
ejpam-5921	188	13	parameter	parameter	PROPN
ejpam-5921	188	14	λ∗	λ∗	PROPN
ejpam-5921	188	15	,	,	PUNCT
ejpam-5921	188	16	where	where	SCONJ
ejpam-5921	188	17	λ∗	λ∗	PROPN
ejpam-5921	188	18	and	and	CCONJ
ejpam-5921	188	19	δ	δ	PROPN
ejpam-5921	188	20	are	be	AUX
ejpam-5921	188	21	given	give	VERB
ejpam-5921	188	22	in	in	ADP
ejpam-5921	188	23	theorem	theorem	NOUN
ejpam-5921	188	24	2	2	NUM
ejpam-5921	188	25	.	.	PUNCT
ejpam-5921	189	1	if	if	SCONJ
ejpam-5921	189	2	λ	λ	PROPN
ejpam-5921	189	3	=	=	SYM
ejpam-5921	189	4	0	0	NUM
ejpam-5921	189	5	,	,	PUNCT
ejpam-5921	189	6	then	then	ADV
ejpam-5921	189	7	the	the	DET
ejpam-5921	189	8	pdf	pdf	NOUN
ejpam-5921	189	9	of	of	ADP
ejpam-5921	189	10	y	y	PROPN
ejpam-5921	189	11	follows	follow	VERB
ejpam-5921	189	12	an	an	DET
ejpam-5921	189	13	esu	esu	NOUN
ejpam-5921	189	14	distribution	distribution	NOUN
ejpam-5921	189	15	with	with	ADP
ejpam-5921	189	16	parameter	parameter	NOUN
ejpam-5921	189	17	λ∗	λ∗	PROPN
ejpam-5921	189	18	=	=	PUNCT
ejpam-5921	190	1	1−0.5ρ	1−0.5ρ	NUM
ejpam-5921	190	2	ρ+1	ρ+1	NOUN
ejpam-5921	190	3	,	,	PUNCT
ejpam-5921	190	4	where	where	SCONJ
ejpam-5921	190	5	ρ	ρ	PROPN
ejpam-5921	190	6	≥	≥	NOUN
ejpam-5921	190	7	0	0	NUM
ejpam-5921	190	8	.	.	PUNCT
ejpam-5921	191	1	corollary	corollary	ADJ
ejpam-5921	191	2	4	4	NUM
ejpam-5921	191	3	.	.	PUNCT
ejpam-5921	192	1	let	let	VERB
ejpam-5921	192	2	y	y	PRON
ejpam-5921	192	3	be	be	AUX
ejpam-5921	192	4	a	a	DET
ejpam-5921	192	5	random	random	ADJ
ejpam-5921	192	6	variable	variable	NOUN
ejpam-5921	192	7	that	that	PRON
ejpam-5921	192	8	follows	follow	VERB
ejpam-5921	192	9	an	an	DET
ejpam-5921	192	10	esu	esu	NOUN
ejpam-5921	192	11	distribution	distribution	NOUN
ejpam-5921	192	12	with	with	ADP
ejpam-5921	192	13	parameter	parameter	PROPN
ejpam-5921	192	14	λ∗	λ∗	PROPN
ejpam-5921	192	15	,	,	PUNCT
ejpam-5921	192	16	where	where	SCONJ
ejpam-5921	192	17	λ∗	λ∗	PROPN
ejpam-5921	192	18	and	and	CCONJ
ejpam-5921	192	19	δ	δ	PROPN
ejpam-5921	192	20	are	be	AUX
ejpam-5921	192	21	given	give	VERB
ejpam-5921	192	22	in	in	ADP
ejpam-5921	192	23	theorem	theorem	NOUN
ejpam-5921	192	24	2	2	NUM
ejpam-5921	192	25	.	.	PUNCT
ejpam-5921	193	1	if	if	SCONJ
ejpam-5921	193	2	ρ	ρ	PROPN
ejpam-5921	193	3	=	=	SYM
ejpam-5921	193	4	0	0	NUM
ejpam-5921	193	5	,	,	PUNCT
ejpam-5921	193	6	then	then	ADV
ejpam-5921	193	7	the	the	DET
ejpam-5921	193	8	pdf	pdf	NOUN
ejpam-5921	193	9	of	of	ADP
ejpam-5921	193	10	y	y	PROPN
ejpam-5921	193	11	follows	follow	VERB
ejpam-5921	193	12	an	an	DET
ejpam-5921	193	13	esu	esu	NOUN
ejpam-5921	193	14	distribution	distribution	NOUN
ejpam-5921	193	15	with	with	ADP
ejpam-5921	193	16	parameter	parameter	NOUN
ejpam-5921	193	17	λ∗	λ∗	PROPN
ejpam-5921	193	18	=	=	SYM
ejpam-5921	193	19	1	1	X
ejpam-5921	193	20	.	.	PUNCT
ejpam-5921	193	21	theorem	theorem	NOUN
ejpam-5921	193	22	3	3	X
ejpam-5921	193	23	.	.	PUNCT
ejpam-5921	194	1	let	let	VERB
ejpam-5921	194	2	x	x	PRON
ejpam-5921	194	3	and	and	CCONJ
ejpam-5921	194	4	y	y	PROPN
ejpam-5921	194	5	be	be	AUX
ejpam-5921	194	6	any	any	DET
ejpam-5921	194	7	two	two	NUM
ejpam-5921	194	8	random	random	ADJ
ejpam-5921	194	9	variables	variable	NOUN
ejpam-5921	194	10	with	with	ADP
ejpam-5921	194	11	joint	joint	ADJ
ejpam-5921	194	12	pdf	pdf	NOUN
ejpam-5921	194	13	given	give	VERB
ejpam-5921	194	14	in	in	ADP
ejpam-5921	194	15	equation	equation	NOUN
ejpam-5921	194	16	(	(	PUNCT
ejpam-5921	194	17	6	6	NUM
ejpam-5921	194	18	)	)	PUNCT
ejpam-5921	194	19	.	.	PUNCT
ejpam-5921	195	1	if	if	SCONJ
ejpam-5921	195	2	the	the	DET
ejpam-5921	195	3	marginal	marginal	ADJ
ejpam-5921	195	4	distribution	distribution	NOUN
ejpam-5921	195	5	of	of	ADP
ejpam-5921	195	6	y	y	PROPN
ejpam-5921	195	7	is	be	AUX
ejpam-5921	195	8	given	give	VERB
ejpam-5921	195	9	in	in	ADP
ejpam-5921	195	10	theorem	theorem	ADJ
ejpam-5921	195	11	2	2	NUM
ejpam-5921	195	12	,	,	PUNCT
ejpam-5921	195	13	then	then	ADV
ejpam-5921	195	14	the	the	DET
ejpam-5921	195	15	conditional	conditional	ADJ
ejpam-5921	195	16	distribution	distribution	NOUN
ejpam-5921	195	17	of	of	ADP
ejpam-5921	195	18	x	x	PUNCT
ejpam-5921	195	19	given	give	VERB
ejpam-5921	195	20	y	y	PROPN
ejpam-5921	195	21	=	=	PUNCT
ejpam-5921	195	22	y	y	PROPN
ejpam-5921	195	23	is	be	AUX
ejpam-5921	195	24	f(x|y	f(x|y	PROPN
ejpam-5921	195	25	=	=	SYM
ejpam-5921	195	26	y	y	NOUN
ejpam-5921	195	27	)	)	PUNCT
ejpam-5921	195	28	=	=	PUNCT
ejpam-5921	196	1	[	[	PUNCT
ejpam-5921	196	2	1.5−	1.5−	NUM
ejpam-5921	196	3	1.5xρ	1.5xρ	NUM
ejpam-5921	196	4	+	+	CCONJ
ejpam-5921	196	5	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	196	6	−	−	NOUN
ejpam-5921	196	7	0.5)(2y	0.5)(2y	PRON
ejpam-5921	196	8	−	−	PROPN
ejpam-5921	196	9	1)2	1)2	NUM
ejpam-5921	196	10	]	]	PUNCT
ejpam-5921	197	1	[	[	PUNCT
ejpam-5921	197	2	1−	1−	NUM
ejpam-5921	197	3	λ+	λ+	PUNCT
ejpam-5921	197	4	3λ(2x−	3λ(2x−	NUM
ejpam-5921	197	5	1)2	1)2	NUM
ejpam-5921	197	6	]	]	PUNCT
ejpam-5921	197	7	1−	1−	NUM
ejpam-5921	197	8	(	(	PUNCT
ejpam-5921	197	9	1.5δ	1.5δ	NOUN
ejpam-5921	197	10	−	−	NOUN
ejpam-5921	197	11	0.5	0.5	NUM
ejpam-5921	197	12	)	)	PUNCT
ejpam-5921	197	13	+	+	CCONJ
ejpam-5921	198	1	3(1.5δ	3(1.5δ	NUM
ejpam-5921	198	2	−	−	NOUN
ejpam-5921	198	3	0.5)(2y	0.5)(2y	PROPN
ejpam-5921	198	4	−	−	PROPN
ejpam-5921	198	5	1)2	1)2	NUM
ejpam-5921	198	6	,	,	PUNCT
ejpam-5921	198	7	(	(	PUNCT
ejpam-5921	198	8	13	13	NUM
ejpam-5921	198	9	)	)	PUNCT
ejpam-5921	198	10	where	where	SCONJ
ejpam-5921	198	11	δ	δ	X
ejpam-5921	198	12	=	=	PRON
ejpam-5921	198	13	(	(	PUNCT
ejpam-5921	198	14	1	1	NUM
ejpam-5921	198	15	+	+	NOUN
ejpam-5921	198	16	2λ)ρ2+(5−2λ)ρ+6	2λ)ρ2+(5−2λ)ρ+6	NUM
ejpam-5921	198	17	(	(	PUNCT
ejpam-5921	198	18	ρ+1)(ρ+2)(ρ+3	ρ+1)(ρ+2)(ρ+3	NUM
ejpam-5921	198	19	)	)	PUNCT
ejpam-5921	198	20	,	,	PUNCT
ejpam-5921	198	21	λ	λ	PROPN
ejpam-5921	198	22	∈	∈	PROPN
ejpam-5921	199	1	[	[	X
ejpam-5921	199	2	−0.5	−0.5	PROPN
ejpam-5921	199	3	,	,	PUNCT
ejpam-5921	199	4	1	1	NUM
ejpam-5921	199	5	]	]	PUNCT
ejpam-5921	199	6	and	and	CCONJ
ejpam-5921	199	7	ρ	ρ	PRON
ejpam-5921	199	8	≥	≥	PROPN
ejpam-5921	199	9	0	0	NUM
ejpam-5921	199	10	.	.	PUNCT
ejpam-5921	200	1	the	the	DET
ejpam-5921	200	2	proof	proof	NOUN
ejpam-5921	200	3	follows	follow	VERB
ejpam-5921	200	4	directly	directly	ADV
ejpam-5921	200	5	from	from	ADP
ejpam-5921	200	6	the	the	DET
ejpam-5921	200	7	definition	definition	NOUN
ejpam-5921	200	8	of	of	ADP
ejpam-5921	200	9	the	the	DET
ejpam-5921	200	10	conditional	conditional	ADJ
ejpam-5921	200	11	distribution	distribution	NOUN
ejpam-5921	200	12	of	of	ADP
ejpam-5921	200	13	x	x	PUNCT
ejpam-5921	200	14	given	give	VERB
ejpam-5921	200	15	y	y	PROPN
ejpam-5921	200	16	=	=	PUNCT
ejpam-5921	200	17	y.	y.	PROPN
ejpam-5921	200	18	i.	i.	PROPN
ejpam-5921	200	19	a.	a.	PROPN
ejpam-5921	200	20	lakibul	lakibul	PROPN
ejpam-5921	200	21	,	,	PUNCT
ejpam-5921	200	22	d.	d.	PROPN
ejpam-5921	200	23	l.	l.	PROPN
ejpam-5921	200	24	polestico	polestico	PROPN
ejpam-5921	200	25	,	,	PUNCT
ejpam-5921	200	26	a.	a.	PROPN
ejpam-5921	200	27	p.	p.	NOUN
ejpam-5921	200	28	supe	supe	PROPN
ejpam-5921	200	29	/	/	SYM
ejpam-5921	200	30	eur	eur	PROPN
ejpam-5921	200	31	.	.	PUNCT
ejpam-5921	201	1	j.	j.	PROPN
ejpam-5921	201	2	pure	pure	PROPN
ejpam-5921	201	3	appl	appl	PROPN
ejpam-5921	201	4	.	.	PROPN
ejpam-5921	201	5	math	math	PROPN
ejpam-5921	201	6	,	,	PUNCT
ejpam-5921	201	7	18	18	NUM
ejpam-5921	201	8	(	(	PUNCT
ejpam-5921	201	9	3	3	NUM
ejpam-5921	201	10	)	)	PUNCT
ejpam-5921	201	11	(	(	PUNCT
ejpam-5921	201	12	2025	2025	NUM
ejpam-5921	201	13	)	)	PUNCT
ejpam-5921	201	14	,	,	PUNCT
ejpam-5921	201	15	5921	5921	NUM
ejpam-5921	201	16	10	10	NUM
ejpam-5921	201	17	of	of	ADP
ejpam-5921	201	18	24	24	NUM
ejpam-5921	201	19	theorem	theorem	VERB
ejpam-5921	201	20	4	4	NUM
ejpam-5921	201	21	.	.	PUNCT
ejpam-5921	202	1	let	let	VERB
ejpam-5921	202	2	x	x	PRON
ejpam-5921	202	3	and	and	CCONJ
ejpam-5921	202	4	y	y	PROPN
ejpam-5921	202	5	be	be	AUX
ejpam-5921	202	6	any	any	DET
ejpam-5921	202	7	two	two	NUM
ejpam-5921	202	8	random	random	ADJ
ejpam-5921	202	9	variables	variable	NOUN
ejpam-5921	202	10	with	with	ADP
ejpam-5921	202	11	joint	joint	ADJ
ejpam-5921	202	12	pdf	pdf	NOUN
ejpam-5921	202	13	given	give	VERB
ejpam-5921	202	14	in	in	ADP
ejpam-5921	202	15	equation	equation	NOUN
ejpam-5921	202	16	(	(	PUNCT
ejpam-5921	202	17	6	6	NUM
ejpam-5921	202	18	)	)	PUNCT
ejpam-5921	202	19	.	.	PUNCT
ejpam-5921	203	1	if	if	SCONJ
ejpam-5921	203	2	the	the	DET
ejpam-5921	203	3	marginal	marginal	ADJ
ejpam-5921	203	4	distribution	distribution	NOUN
ejpam-5921	203	5	of	of	ADP
ejpam-5921	203	6	y	y	PROPN
ejpam-5921	203	7	is	be	AUX
ejpam-5921	203	8	given	give	VERB
ejpam-5921	203	9	in	in	ADP
ejpam-5921	203	10	theorem	theorem	ADJ
ejpam-5921	203	11	2	2	NUM
ejpam-5921	203	12	then	then	ADV
ejpam-5921	203	13	the	the	DET
ejpam-5921	203	14	rth	rth	ADJ
ejpam-5921	203	15	conditional	conditional	ADJ
ejpam-5921	203	16	moment	moment	NOUN
ejpam-5921	203	17	of	of	ADP
ejpam-5921	203	18	x	x	PUNCT
ejpam-5921	203	19	given	give	VERB
ejpam-5921	203	20	y	y	PROPN
ejpam-5921	203	21	=	=	PUNCT
ejpam-5921	203	22	y	y	PROPN
ejpam-5921	203	23	is	be	AUX
ejpam-5921	203	24	e	e	NOUN
ejpam-5921	203	25	[	[	NOUN
ejpam-5921	203	26	xr|y	xr|y	X
ejpam-5921	203	27	]	]	X
ejpam-5921	203	28	=	=	SYM
ejpam-5921	203	29	1.5	1.5	NUM
ejpam-5921	203	30	f(y	f(y	NOUN
ejpam-5921	203	31	)	)	PUNCT
ejpam-5921	203	32	{	{	PUNCT
ejpam-5921	203	33	[	[	PUNCT
ejpam-5921	203	34	1−	1−	NUM
ejpam-5921	203	35	(	(	PUNCT
ejpam-5921	203	36	2y	2y	NOUN
ejpam-5921	203	37	−	−	PROPN
ejpam-5921	203	38	1)2	1)2	NUM
ejpam-5921	203	39	]	]	PUNCT
ejpam-5921	203	40	e	e	X
ejpam-5921	204	1	[	[	X
ejpam-5921	204	2	xr]−	xr]−	PROPN
ejpam-5921	204	3	[	[	PUNCT
ejpam-5921	204	4	1−	1−	NUM
ejpam-5921	204	5	3(2y	3(2y	NUM
ejpam-5921	205	1	−	−	PROPN
ejpam-5921	205	2	1)2	1)2	NUM
ejpam-5921	206	1	]	]	PUNCT
ejpam-5921	206	2	e	e	X
ejpam-5921	206	3	[	[	PUNCT
ejpam-5921	206	4	xr+ρ	xr+ρ	PROPN
ejpam-5921	206	5	]	]	X
ejpam-5921	206	6	}	}	PUNCT
ejpam-5921	206	7	,	,	PUNCT
ejpam-5921	206	8	(	(	PUNCT
ejpam-5921	206	9	14	14	NUM
ejpam-5921	206	10	)	)	PUNCT
ejpam-5921	206	11	where	where	SCONJ
ejpam-5921	206	12	f(y	f(y	NOUN
ejpam-5921	206	13	)	)	PUNCT
ejpam-5921	206	14	is	be	AUX
ejpam-5921	206	15	the	the	DET
ejpam-5921	206	16	marginal	marginal	ADJ
ejpam-5921	206	17	distribution	distribution	NOUN
ejpam-5921	206	18	of	of	ADP
ejpam-5921	206	19	y	y	PROPN
ejpam-5921	206	20	of	of	ADP
ejpam-5921	206	21	the	the	DET
ejpam-5921	206	22	ρ−besu	ρ−besu	NOUN
ejpam-5921	206	23	distribution	distribution	NOUN
ejpam-5921	206	24	,	,	PUNCT
ejpam-5921	206	25	e	e	X
ejpam-5921	207	1	[	[	X
ejpam-5921	207	2	xr	xr	X
ejpam-5921	207	3	]	]	X
ejpam-5921	207	4	=	=	X
ejpam-5921	207	5	(	(	PUNCT
ejpam-5921	207	6	1	1	NUM
ejpam-5921	207	7	+	+	CCONJ
ejpam-5921	207	8	2λ)r2	2λ)r2	NUM
ejpam-5921	207	9	+	+	CCONJ
ejpam-5921	207	10	(	(	PUNCT
ejpam-5921	207	11	5−	5−	NUM
ejpam-5921	207	12	2λ)r	2λ)r	NUM
ejpam-5921	208	1	+	+	CCONJ
ejpam-5921	209	1	6	6	NUM
ejpam-5921	209	2	(	(	PUNCT
ejpam-5921	209	3	r	r	NOUN
ejpam-5921	209	4	+	+	NUM
ejpam-5921	209	5	1)(r	1)(r	NUM
ejpam-5921	209	6	+	+	SYM
ejpam-5921	209	7	2)(r	2)(r	NUM
ejpam-5921	209	8	+	+	CCONJ
ejpam-5921	209	9	3	3	NUM
ejpam-5921	209	10	)	)	PUNCT
ejpam-5921	209	11	,	,	PUNCT
ejpam-5921	209	12	and	and	CCONJ
ejpam-5921	209	13	e	e	X
ejpam-5921	209	14	[	[	PUNCT
ejpam-5921	209	15	xr+ρ	xr+ρ	X
ejpam-5921	209	16	]	]	PUNCT
ejpam-5921	210	1	=	=	PUNCT
ejpam-5921	210	2	(	(	PUNCT
ejpam-5921	210	3	1	1	NUM
ejpam-5921	210	4	+	+	NUM
ejpam-5921	210	5	2λ)(r	2λ)(r	NUM
ejpam-5921	211	1	+	+	CCONJ
ejpam-5921	211	2	ρ)2	ρ)2	NOUN
ejpam-5921	211	3	+	+	CCONJ
ejpam-5921	211	4	(	(	PUNCT
ejpam-5921	211	5	5−	5−	NUM
ejpam-5921	211	6	2λ)(r	2λ)(r	NUM
ejpam-5921	211	7	+	+	CCONJ
ejpam-5921	211	8	ρ	ρ	NOUN
ejpam-5921	211	9	)	)	PUNCT
ejpam-5921	212	1	+	+	CCONJ
ejpam-5921	212	2	6	6	NUM
ejpam-5921	212	3	(	(	PUNCT
ejpam-5921	212	4	r	r	NOUN
ejpam-5921	212	5	+	+	NOUN
ejpam-5921	212	6	ρ+	ρ+	NUM
ejpam-5921	212	7	1)(r	1)(r	NUM
ejpam-5921	212	8	+	+	NUM
ejpam-5921	212	9	ρ+	ρ+	NUM
ejpam-5921	212	10	2)(r	2)(r	NUM
ejpam-5921	212	11	+	+	NUM
ejpam-5921	212	12	ρ+	ρ+	NUM
ejpam-5921	212	13	3	3	NUM
ejpam-5921	212	14	)	)	PUNCT
ejpam-5921	212	15	.	.	PUNCT
ejpam-5921	213	1	proof	proof	NOUN
ejpam-5921	213	2	.	.	PUNCT
ejpam-5921	214	1	the	the	DET
ejpam-5921	214	2	rth	rth	PROPN
ejpam-5921	214	3	conditional	conditional	ADJ
ejpam-5921	214	4	moment	moment	NOUN
ejpam-5921	214	5	of	of	ADP
ejpam-5921	214	6	x	x	PUNCT
ejpam-5921	214	7	given	give	VERB
ejpam-5921	214	8	y	y	PROPN
ejpam-5921	214	9	=	=	PUNCT
ejpam-5921	214	10	y	y	PROPN
ejpam-5921	214	11	is	be	AUX
ejpam-5921	214	12	defined	define	VERB
ejpam-5921	214	13	as	as	ADP
ejpam-5921	214	14	e	e	NOUN
ejpam-5921	214	15	[	[	NOUN
ejpam-5921	214	16	xr|y	xr|y	X
ejpam-5921	214	17	]	]	X
ejpam-5921	214	18	=	=	SYM
ejpam-5921	214	19	∫	∫	PROPN
ejpam-5921	214	20	1	1	NUM
ejpam-5921	214	21	0	0	NUM
ejpam-5921	214	22	xrf(x|y	xrf(x|y	PROPN
ejpam-5921	215	1	=	=	SYM
ejpam-5921	215	2	y)dx	y)dx	PROPN
ejpam-5921	215	3	e	e	X
ejpam-5921	215	4	[	[	NOUN
ejpam-5921	215	5	xr|y	xr|y	X
ejpam-5921	215	6	]	]	X
ejpam-5921	215	7	=	=	SYM
ejpam-5921	215	8	∫	∫	PROPN
ejpam-5921	215	9	1	1	NUM
ejpam-5921	215	10	0	0	NUM
ejpam-5921	215	11	xr	xr	PROPN
ejpam-5921	215	12	f(x	f(x	PROPN
ejpam-5921	215	13	,	,	PUNCT
ejpam-5921	215	14	y	y	NOUN
ejpam-5921	215	15	)	)	PUNCT
ejpam-5921	215	16	f(y	f(y	NOUN
ejpam-5921	215	17	)	)	PUNCT
ejpam-5921	215	18	dx	dx	PROPN
ejpam-5921	215	19	.	.	PUNCT
ejpam-5921	216	1	it	it	PRON
ejpam-5921	216	2	follows	follow	VERB
ejpam-5921	216	3	that	that	SCONJ
ejpam-5921	216	4	the	the	DET
ejpam-5921	216	5	rth	rth	PROPN
ejpam-5921	216	6	conditional	conditional	ADJ
ejpam-5921	216	7	moment	moment	NOUN
ejpam-5921	216	8	of	of	ADP
ejpam-5921	216	9	x	x	PUNCT
ejpam-5921	216	10	given	give	VERB
ejpam-5921	216	11	y	y	PROPN
ejpam-5921	216	12	=	=	SYM
ejpam-5921	216	13	y	y	PROPN
ejpam-5921	216	14	becomes	become	VERB
ejpam-5921	216	15	e	e	NOUN
ejpam-5921	216	16	[	[	NOUN
ejpam-5921	216	17	xr|y	xr|y	X
ejpam-5921	216	18	]	]	X
ejpam-5921	216	19	=	=	SYM
ejpam-5921	216	20	1	1	NUM
ejpam-5921	216	21	f(y	f(y	NOUN
ejpam-5921	216	22	)	)	PUNCT
ejpam-5921	216	23	∫	∫	PROPN
ejpam-5921	216	24	1	1	NUM
ejpam-5921	216	25	0	0	NUM
ejpam-5921	216	26	xr	xr	PROPN
ejpam-5921	216	27	[	[	PUNCT
ejpam-5921	216	28	1.5	1.5	NUM
ejpam-5921	216	29	(	(	PUNCT
ejpam-5921	216	30	1−	1−	NUM
ejpam-5921	216	31	(	(	PUNCT
ejpam-5921	216	32	2y	2y	PROPN
ejpam-5921	216	33	−	−	PROPN
ejpam-5921	216	34	1)2	1)2	NUM
ejpam-5921	216	35	)	)	PUNCT
ejpam-5921	217	1	−	−	PROPN
ejpam-5921	217	2	1.5x	1.5x	NUM
ejpam-5921	217	3	(	(	PUNCT
ejpam-5921	217	4	1−	1−	NUM
ejpam-5921	217	5	3(2y	3(2y	NUM
ejpam-5921	217	6	−	−	PROPN
ejpam-5921	217	7	1)2	1)2	NUM
ejpam-5921	217	8	)	)	PUNCT
ejpam-5921	217	9	]	]	PUNCT
ejpam-5921	218	1	f(x|λ)dx	f(x|λ)dx	ADJ
ejpam-5921	218	2	=	=	SYM
ejpam-5921	218	3	1.5	1.5	NUM
ejpam-5921	218	4	(	(	PUNCT
ejpam-5921	218	5	1−	1−	NUM
ejpam-5921	218	6	3(2y	3(2y	NUM
ejpam-5921	218	7	−	−	PROPN
ejpam-5921	218	8	1)2	1)2	NUM
ejpam-5921	218	9	)	)	PUNCT
ejpam-5921	218	10	f(y	f(y	NOUN
ejpam-5921	218	11	)	)	PUNCT
ejpam-5921	218	12	[	[	PUNCT
ejpam-5921	218	13	(	(	PUNCT
ejpam-5921	218	14	1	1	NUM
ejpam-5921	218	15	+	+	X
ejpam-5921	218	16	2λ)r2	2λ)r2	NUM
ejpam-5921	218	17	+	+	CCONJ
ejpam-5921	218	18	(	(	PUNCT
ejpam-5921	218	19	5−	5−	NUM
ejpam-5921	218	20	2λ)r	2λ)r	NUM
ejpam-5921	218	21	+	+	CCONJ
ejpam-5921	218	22	6	6	NUM
ejpam-5921	218	23	(	(	PUNCT
ejpam-5921	218	24	r	r	NOUN
ejpam-5921	218	25	+	+	NUM
ejpam-5921	218	26	1)(r	1)(r	NUM
ejpam-5921	218	27	+	+	SYM
ejpam-5921	218	28	2)(r	2)(r	NUM
ejpam-5921	218	29	+	+	CCONJ
ejpam-5921	218	30	3	3	NUM
ejpam-5921	218	31	)	)	PUNCT
ejpam-5921	218	32	]	]	PUNCT
ejpam-5921	219	1	−	−	PROPN
ejpam-5921	219	2	1.5	1.5	NUM
ejpam-5921	219	3	(	(	PUNCT
ejpam-5921	219	4	1−	1−	NUM
ejpam-5921	219	5	3(2y	3(2y	NUM
ejpam-5921	219	6	−	−	PROPN
ejpam-5921	219	7	1)2	1)2	NUM
ejpam-5921	219	8	)	)	PUNCT
ejpam-5921	219	9	f(y	f(y	NOUN
ejpam-5921	219	10	)	)	PUNCT
ejpam-5921	219	11	[	[	PUNCT
ejpam-5921	219	12	(	(	PUNCT
ejpam-5921	219	13	1	1	NUM
ejpam-5921	219	14	+	+	NUM
ejpam-5921	219	15	2λ)(r	2λ)(r	NUM
ejpam-5921	220	1	+	+	CCONJ
ejpam-5921	220	2	ρ)2	ρ)2	NOUN
ejpam-5921	220	3	+	+	CCONJ
ejpam-5921	220	4	(	(	PUNCT
ejpam-5921	220	5	5−	5−	NUM
ejpam-5921	220	6	2λ)(r	2λ)(r	NUM
ejpam-5921	220	7	+	+	CCONJ
ejpam-5921	220	8	ρ	ρ	NOUN
ejpam-5921	220	9	)	)	PUNCT
ejpam-5921	221	1	+	+	CCONJ
ejpam-5921	221	2	6	6	NUM
ejpam-5921	221	3	(	(	PUNCT
ejpam-5921	221	4	r	r	NOUN
ejpam-5921	221	5	+	+	NOUN
ejpam-5921	221	6	ρ+	ρ+	NUM
ejpam-5921	221	7	1)(r	1)(r	NUM
ejpam-5921	221	8	+	+	NUM
ejpam-5921	221	9	ρ+	ρ+	NUM
ejpam-5921	221	10	2)(r	2)(r	NUM
ejpam-5921	221	11	+	+	NUM
ejpam-5921	221	12	ρ+	ρ+	NUM
ejpam-5921	221	13	3	3	NUM
ejpam-5921	221	14	)	)	PUNCT
ejpam-5921	221	15	]	]	PUNCT
ejpam-5921	222	1	=	=	SYM
ejpam-5921	222	2	1.5	1.5	NUM
ejpam-5921	222	3	f(y	f(y	NOUN
ejpam-5921	222	4	)	)	PUNCT
ejpam-5921	222	5	{	{	PUNCT
ejpam-5921	222	6	[	[	PUNCT
ejpam-5921	222	7	1−	1−	NUM
ejpam-5921	222	8	(	(	PUNCT
ejpam-5921	222	9	2y	2y	NOUN
ejpam-5921	222	10	−	−	PROPN
ejpam-5921	222	11	1)2	1)2	NUM
ejpam-5921	222	12	]	]	PUNCT
ejpam-5921	222	13	e	e	X
ejpam-5921	223	1	[	[	X
ejpam-5921	223	2	xr]−	xr]−	PROPN
ejpam-5921	223	3	[	[	PUNCT
ejpam-5921	223	4	1−	1−	NUM
ejpam-5921	223	5	3(2y	3(2y	NUM
ejpam-5921	224	1	−	−	PROPN
ejpam-5921	224	2	1)2	1)2	NUM
ejpam-5921	225	1	]	]	PUNCT
ejpam-5921	225	2	e	e	X
ejpam-5921	225	3	[	[	PUNCT
ejpam-5921	225	4	xr+ρ	xr+ρ	PROPN
ejpam-5921	225	5	]	]	X
ejpam-5921	225	6	}	}	PUNCT
ejpam-5921	225	7	,	,	PUNCT
ejpam-5921	225	8	where	where	SCONJ
ejpam-5921	225	9	f(y	f(y	NOUN
ejpam-5921	225	10	)	)	PUNCT
ejpam-5921	225	11	is	be	AUX
ejpam-5921	225	12	the	the	DET
ejpam-5921	225	13	marginal	marginal	ADJ
ejpam-5921	225	14	distribution	distribution	NOUN
ejpam-5921	225	15	of	of	ADP
ejpam-5921	225	16	y	y	PROPN
ejpam-5921	225	17	of	of	ADP
ejpam-5921	225	18	the	the	DET
ejpam-5921	225	19	ρ−besu	ρ−besu	NOUN
ejpam-5921	225	20	distribution	distribution	NOUN
ejpam-5921	225	21	,	,	PUNCT
ejpam-5921	225	22	e	e	X
ejpam-5921	226	1	[	[	X
ejpam-5921	226	2	xr	xr	X
ejpam-5921	226	3	]	]	X
ejpam-5921	226	4	=	=	X
ejpam-5921	226	5	(	(	PUNCT
ejpam-5921	226	6	1	1	NUM
ejpam-5921	226	7	+	+	CCONJ
ejpam-5921	226	8	2λ)r2	2λ)r2	NUM
ejpam-5921	226	9	+	+	CCONJ
ejpam-5921	226	10	(	(	PUNCT
ejpam-5921	226	11	5−	5−	NUM
ejpam-5921	226	12	2λ)r	2λ)r	NUM
ejpam-5921	227	1	+	+	CCONJ
ejpam-5921	228	1	6	6	NUM
ejpam-5921	228	2	(	(	PUNCT
ejpam-5921	228	3	r	r	NOUN
ejpam-5921	228	4	+	+	NUM
ejpam-5921	228	5	1)(r	1)(r	NUM
ejpam-5921	228	6	+	+	SYM
ejpam-5921	228	7	2)(r	2)(r	NUM
ejpam-5921	228	8	+	+	CCONJ
ejpam-5921	228	9	3	3	NUM
ejpam-5921	228	10	)	)	PUNCT
ejpam-5921	228	11	,	,	PUNCT
ejpam-5921	228	12	and	and	CCONJ
ejpam-5921	228	13	e	e	X
ejpam-5921	228	14	[	[	PUNCT
ejpam-5921	228	15	xr+ρ	xr+ρ	X
ejpam-5921	228	16	]	]	PUNCT
ejpam-5921	229	1	=	=	PUNCT
ejpam-5921	229	2	(	(	PUNCT
ejpam-5921	229	3	1	1	NUM
ejpam-5921	229	4	+	+	NUM
ejpam-5921	229	5	2λ)(r	2λ)(r	NUM
ejpam-5921	230	1	+	+	CCONJ
ejpam-5921	230	2	ρ)2	ρ)2	NOUN
ejpam-5921	230	3	+	+	CCONJ
ejpam-5921	230	4	(	(	PUNCT
ejpam-5921	230	5	5−	5−	NUM
ejpam-5921	230	6	2λ)(r	2λ)(r	NUM
ejpam-5921	230	7	+	+	CCONJ
ejpam-5921	230	8	ρ	ρ	NOUN
ejpam-5921	230	9	)	)	PUNCT
ejpam-5921	231	1	+	+	CCONJ
ejpam-5921	231	2	6	6	NUM
ejpam-5921	231	3	(	(	PUNCT
ejpam-5921	231	4	r	r	NOUN
ejpam-5921	231	5	+	+	NOUN
ejpam-5921	231	6	ρ+	ρ+	NUM
ejpam-5921	231	7	1)(r	1)(r	NUM
ejpam-5921	231	8	+	+	NUM
ejpam-5921	231	9	ρ+	ρ+	NUM
ejpam-5921	231	10	2)(r	2)(r	NUM
ejpam-5921	231	11	+	+	NUM
ejpam-5921	231	12	ρ+	ρ+	NUM
ejpam-5921	231	13	3	3	NUM
ejpam-5921	231	14	)	)	PUNCT
ejpam-5921	231	15	.	.	PUNCT
ejpam-5921	232	1	i.	i.	PROPN
ejpam-5921	232	2	a.	a.	PROPN
ejpam-5921	232	3	lakibul	lakibul	PROPN
ejpam-5921	232	4	,	,	PUNCT
ejpam-5921	232	5	d.	d.	PROPN
ejpam-5921	232	6	l.	l.	PROPN
ejpam-5921	232	7	polestico	polestico	PROPN
ejpam-5921	232	8	,	,	PUNCT
ejpam-5921	232	9	a.	a.	PROPN
ejpam-5921	232	10	p.	p.	NOUN
ejpam-5921	232	11	supe	supe	PROPN
ejpam-5921	232	12	/	/	SYM
ejpam-5921	232	13	eur	eur	PROPN
ejpam-5921	232	14	.	.	PUNCT
ejpam-5921	233	1	j.	j.	PROPN
ejpam-5921	233	2	pure	pure	PROPN
ejpam-5921	233	3	appl	appl	PROPN
ejpam-5921	233	4	.	.	PROPN
ejpam-5921	233	5	math	math	PROPN
ejpam-5921	233	6	,	,	PUNCT
ejpam-5921	233	7	18	18	NUM
ejpam-5921	233	8	(	(	PUNCT
ejpam-5921	233	9	3	3	NUM
ejpam-5921	233	10	)	)	PUNCT
ejpam-5921	233	11	(	(	PUNCT
ejpam-5921	233	12	2025	2025	NUM
ejpam-5921	233	13	)	)	PUNCT
ejpam-5921	233	14	,	,	PUNCT
ejpam-5921	233	15	5921	5921	NUM
ejpam-5921	233	16	11	11	NUM
ejpam-5921	233	17	of	of	ADP
ejpam-5921	233	18	24	24	NUM
ejpam-5921	233	19	remark	remark	NOUN
ejpam-5921	233	20	2	2	NUM
ejpam-5921	233	21	.	.	PUNCT
ejpam-5921	234	1	the	the	DET
ejpam-5921	234	2	conditional	conditional	ADJ
ejpam-5921	234	3	mean	mean	NOUN
ejpam-5921	234	4	of	of	ADP
ejpam-5921	234	5	x	x	PUNCT
ejpam-5921	234	6	given	give	VERB
ejpam-5921	234	7	y	y	PROPN
ejpam-5921	234	8	is	be	AUX
ejpam-5921	234	9	given	give	VERB
ejpam-5921	234	10	by	by	ADP
ejpam-5921	234	11	e	e	X
ejpam-5921	234	12	[	[	X
ejpam-5921	234	13	x|y	x|y	X
ejpam-5921	234	14	]	]	X
ejpam-5921	234	15	=	=	SYM
ejpam-5921	234	16	1.5	1.5	NUM
ejpam-5921	234	17	f(y	f(y	NOUN
ejpam-5921	234	18	)	)	PUNCT
ejpam-5921	234	19	{	{	PUNCT
ejpam-5921	234	20	0.5	0.5	NUM
ejpam-5921	234	21	[	[	PUNCT
ejpam-5921	234	22	1−	1−	NUM
ejpam-5921	234	23	(	(	PUNCT
ejpam-5921	234	24	2y	2y	NOUN
ejpam-5921	234	25	−	−	PROPN
ejpam-5921	234	26	1)2	1)2	NUM
ejpam-5921	234	27	]	]	PUNCT
ejpam-5921	234	28	−	−	PROPN
ejpam-5921	234	29	[	[	PUNCT
ejpam-5921	234	30	1−	1−	NUM
ejpam-5921	234	31	3(2y	3(2y	NUM
ejpam-5921	235	1	−	−	PROPN
ejpam-5921	235	2	1)2	1)2	NUM
ejpam-5921	235	3	]	]	PUNCT
ejpam-5921	235	4	e	e	X
ejpam-5921	235	5	[	[	PUNCT
ejpam-5921	235	6	xρ+1	xρ+1	X
ejpam-5921	235	7	]	]	PUNCT
ejpam-5921	235	8	}	}	PUNCT
ejpam-5921	235	9	,	,	PUNCT
ejpam-5921	235	10	(	(	PUNCT
ejpam-5921	235	11	15	15	NUM
ejpam-5921	235	12	)	)	PUNCT
ejpam-5921	235	13	where	where	SCONJ
ejpam-5921	235	14	ρ	ρ	PROPN
ejpam-5921	235	15	≥	≥	NOUN
ejpam-5921	235	16	0	0	NUM
ejpam-5921	235	17	,	,	PUNCT
ejpam-5921	235	18	f(y	f(y	NOUN
ejpam-5921	235	19	)	)	PUNCT
ejpam-5921	235	20	is	be	AUX
ejpam-5921	235	21	the	the	DET
ejpam-5921	235	22	marginal	marginal	ADJ
ejpam-5921	235	23	distribution	distribution	NOUN
ejpam-5921	235	24	of	of	ADP
ejpam-5921	235	25	y	y	PROPN
ejpam-5921	235	26	of	of	ADP
ejpam-5921	235	27	the	the	DET
ejpam-5921	235	28	ρ	ρ	PROPN
ejpam-5921	235	29	besu	besu	NOUN
ejpam-5921	235	30	distribution	distribution	NOUN
ejpam-5921	235	31	,	,	PUNCT
ejpam-5921	235	32	and	and	CCONJ
ejpam-5921	235	33	e	e	X
ejpam-5921	235	34	[	[	PUNCT
ejpam-5921	235	35	xρ+1	xρ+1	X
ejpam-5921	235	36	]	]	PUNCT
ejpam-5921	235	37	=	=	PUNCT
ejpam-5921	235	38	(	(	PUNCT
ejpam-5921	235	39	1	1	NUM
ejpam-5921	235	40	+	+	SYM
ejpam-5921	235	41	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	235	42	1)2	1)2	NUM
ejpam-5921	235	43	+	+	CCONJ
ejpam-5921	235	44	(	(	PUNCT
ejpam-5921	235	45	5−	5−	NUM
ejpam-5921	235	46	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	235	47	1	1	NUM
ejpam-5921	235	48	)	)	PUNCT
ejpam-5921	235	49	+	+	CCONJ
ejpam-5921	235	50	6	6	NUM
ejpam-5921	235	51	(	(	PUNCT
ejpam-5921	235	52	ρ+	ρ+	NUM
ejpam-5921	235	53	2)(ρ+	2)(ρ+	NUM
ejpam-5921	235	54	3)(ρ+	3)(ρ+	NUM
ejpam-5921	235	55	4	4	NUM
ejpam-5921	235	56	)	)	PUNCT
ejpam-5921	235	57	.	.	PUNCT
ejpam-5921	236	1	remark	remark	VERB
ejpam-5921	236	2	3	3	NUM
ejpam-5921	236	3	.	.	PUNCT
ejpam-5921	237	1	the	the	DET
ejpam-5921	237	2	conditional	conditional	ADJ
ejpam-5921	237	3	variance	variance	NOUN
ejpam-5921	237	4	of	of	ADP
ejpam-5921	237	5	x	x	PUNCT
ejpam-5921	237	6	given	give	VERB
ejpam-5921	237	7	y	y	PROPN
ejpam-5921	237	8	is	be	AUX
ejpam-5921	237	9	given	give	VERB
ejpam-5921	237	10	by	by	ADP
ejpam-5921	237	11	v	v	NOUN
ejpam-5921	237	12	ar(x|y	ar(x|y	NUM
ejpam-5921	237	13	)	)	PUNCT
ejpam-5921	237	14	=	=	X
ejpam-5921	237	15	e[x2|y]−	e[x2|y]−	NOUN
ejpam-5921	237	16	(	(	PUNCT
ejpam-5921	237	17	e[x|y])2	e[x|y])2	VERB
ejpam-5921	237	18	,	,	PUNCT
ejpam-5921	237	19	(	(	PUNCT
ejpam-5921	237	20	16	16	NUM
ejpam-5921	237	21	)	)	PUNCT
ejpam-5921	237	22	where	where	SCONJ
ejpam-5921	237	23	e[x|y	e[x|y	NOUN
ejpam-5921	237	24	]	]	X
ejpam-5921	237	25	is	be	AUX
ejpam-5921	237	26	the	the	DET
ejpam-5921	237	27	conditional	conditional	ADJ
ejpam-5921	237	28	mean	mean	NOUN
ejpam-5921	237	29	of	of	ADP
ejpam-5921	237	30	x	x	PUNCT
ejpam-5921	237	31	given	give	VERB
ejpam-5921	237	32	y	y	PROPN
ejpam-5921	237	33	,	,	PUNCT
ejpam-5921	237	34	e	e	X
ejpam-5921	237	35	[	[	PUNCT
ejpam-5921	237	36	x2|y	x2|y	PROPN
ejpam-5921	237	37	]	]	X
ejpam-5921	238	1	=	=	SYM
ejpam-5921	238	2	1.5	1.5	NUM
ejpam-5921	238	3	f(y	f(y	NOUN
ejpam-5921	238	4	)	)	PUNCT
ejpam-5921	238	5	{	{	PUNCT
ejpam-5921	238	6	[	[	PUNCT
ejpam-5921	238	7	1−	1−	NUM
ejpam-5921	238	8	(	(	PUNCT
ejpam-5921	238	9	2y	2y	NOUN
ejpam-5921	238	10	−	−	PROPN
ejpam-5921	238	11	1)2	1)2	NUM
ejpam-5921	238	12	]	]	PUNCT
ejpam-5921	238	13	(	(	PUNCT
ejpam-5921	238	14	5	5	NUM
ejpam-5921	238	15	+	+	NUM
ejpam-5921	238	16	λ	λ	PROPN
ejpam-5921	238	17	15	15	NUM
ejpam-5921	238	18	)	)	PUNCT
ejpam-5921	238	19	−	−	PROPN
ejpam-5921	239	1	[	[	PUNCT
ejpam-5921	239	2	1−	1−	NUM
ejpam-5921	239	3	3(2y	3(2y	NUM
ejpam-5921	240	1	−	−	PROPN
ejpam-5921	240	2	1)2	1)2	NUM
ejpam-5921	241	1	]	]	PUNCT
ejpam-5921	241	2	e	e	X
ejpam-5921	241	3	[	[	PUNCT
ejpam-5921	241	4	xρ+2	xρ+2	NUM
ejpam-5921	241	5	]	]	PUNCT
ejpam-5921	241	6	}	}	PUNCT
ejpam-5921	241	7	,	,	PUNCT
ejpam-5921	241	8	(	(	PUNCT
ejpam-5921	241	9	17	17	NUM
ejpam-5921	241	10	)	)	PUNCT
ejpam-5921	241	11	ρ	ρ	PROPN
ejpam-5921	241	12	≥	≥	NOUN
ejpam-5921	241	13	0	0	NUM
ejpam-5921	241	14	,	,	PUNCT
ejpam-5921	241	15	λ	λ	PROPN
ejpam-5921	241	16	∈	∈	PROPN
ejpam-5921	242	1	[	[	X
ejpam-5921	242	2	−0.5	−0.5	PROPN
ejpam-5921	242	3	,	,	PUNCT
ejpam-5921	242	4	1	1	NUM
ejpam-5921	242	5	]	]	PUNCT
ejpam-5921	242	6	,	,	PUNCT
ejpam-5921	242	7	f(y	f(y	NOUN
ejpam-5921	242	8	)	)	PUNCT
ejpam-5921	242	9	is	be	AUX
ejpam-5921	242	10	the	the	DET
ejpam-5921	242	11	marginal	marginal	ADJ
ejpam-5921	242	12	distribution	distribution	NOUN
ejpam-5921	242	13	of	of	ADP
ejpam-5921	242	14	y	y	PROPN
ejpam-5921	242	15	of	of	ADP
ejpam-5921	242	16	the	the	DET
ejpam-5921	242	17	ρ	ρ	PROPN
ejpam-5921	242	18	besu	besu	NOUN
ejpam-5921	242	19	distribution	distribution	NOUN
ejpam-5921	242	20	,	,	PUNCT
ejpam-5921	242	21	and	and	CCONJ
ejpam-5921	242	22	e	e	X
ejpam-5921	242	23	[	[	PUNCT
ejpam-5921	242	24	xρ+2	xρ+2	X
ejpam-5921	242	25	]	]	PUNCT
ejpam-5921	243	1	=	=	PUNCT
ejpam-5921	243	2	(	(	PUNCT
ejpam-5921	243	3	1	1	NUM
ejpam-5921	243	4	+	+	NUM
ejpam-5921	243	5	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	243	6	2)2	2)2	NUM
ejpam-5921	243	7	+	+	CCONJ
ejpam-5921	243	8	(	(	PUNCT
ejpam-5921	243	9	5−	5−	NUM
ejpam-5921	243	10	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	243	11	2	2	NUM
ejpam-5921	243	12	)	)	PUNCT
ejpam-5921	243	13	+	+	CCONJ
ejpam-5921	243	14	6	6	NUM
ejpam-5921	243	15	(	(	PUNCT
ejpam-5921	243	16	ρ+	ρ+	NUM
ejpam-5921	243	17	3)(ρ+	3)(ρ+	NUM
ejpam-5921	243	18	4)(ρ+	4)(ρ+	NUM
ejpam-5921	243	19	5	5	NUM
ejpam-5921	243	20	)	)	PUNCT
ejpam-5921	243	21	.	.	PUNCT
ejpam-5921	244	1	theorem	theorem	ADJ
ejpam-5921	244	2	5	5	NUM
ejpam-5921	244	3	.	.	PUNCT
ejpam-5921	245	1	let	let	VERB
ejpam-5921	245	2	x	x	PRON
ejpam-5921	245	3	and	and	CCONJ
ejpam-5921	245	4	y	y	PROPN
ejpam-5921	245	5	be	be	AUX
ejpam-5921	245	6	any	any	DET
ejpam-5921	245	7	two	two	NUM
ejpam-5921	245	8	random	random	ADJ
ejpam-5921	245	9	variables	variable	NOUN
ejpam-5921	245	10	with	with	ADP
ejpam-5921	245	11	joint	joint	ADJ
ejpam-5921	245	12	pdf	pdf	NOUN
ejpam-5921	245	13	given	give	VERB
ejpam-5921	245	14	in	in	ADP
ejpam-5921	245	15	equation	equation	NOUN
ejpam-5921	245	16	(	(	PUNCT
ejpam-5921	245	17	6	6	NUM
ejpam-5921	245	18	)	)	PUNCT
ejpam-5921	245	19	,	,	PUNCT
ejpam-5921	245	20	then	then	ADV
ejpam-5921	245	21	the	the	DET
ejpam-5921	245	22	product	product	NOUN
ejpam-5921	245	23	and	and	CCONJ
ejpam-5921	245	24	ratio	ratio	NOUN
ejpam-5921	245	25	moments	moment	NOUN
ejpam-5921	245	26	are	be	AUX
ejpam-5921	245	27	given	give	VERB
ejpam-5921	245	28	by	by	ADP
ejpam-5921	245	29	e	e	PROPN
ejpam-5921	245	30	[	[	X
ejpam-5921	245	31	xry	xry	X
ejpam-5921	245	32	s	s	X
ejpam-5921	245	33	]	]	X
ejpam-5921	245	34	=	=	SYM
ejpam-5921	245	35	1	1	NUM
ejpam-5921	245	36	(	(	PUNCT
ejpam-5921	245	37	s+	s+	NUM
ejpam-5921	245	38	1)(s+	1)(s+	NUM
ejpam-5921	245	39	2)(s+	2)(s+	NUM
ejpam-5921	245	40	3	3	NUM
ejpam-5921	245	41	)	)	PUNCT
ejpam-5921	245	42	[	[	PUNCT
ejpam-5921	245	43	6(s+	6(s+	NUM
ejpam-5921	245	44	1)e[xr	1)e[xr	NOUN
ejpam-5921	245	45	]	]	X
ejpam-5921	246	1	+	+	CCONJ
ejpam-5921	246	2	3s(s−	3s(s−	NUM
ejpam-5921	246	3	1)e[xr+ρ	1)e[xr+ρ	NUM
ejpam-5921	246	4	]	]	X
ejpam-5921	246	5	]	]	X
ejpam-5921	246	6	(	(	PUNCT
ejpam-5921	246	7	18	18	NUM
ejpam-5921	246	8	)	)	PUNCT
ejpam-5921	246	9	and	and	CCONJ
ejpam-5921	246	10	e	e	X
ejpam-5921	246	11	[	[	PUNCT
ejpam-5921	246	12	xry	xry	PROPN
ejpam-5921	246	13	−s	−s	NOUN
ejpam-5921	246	14	]	]	X
ejpam-5921	247	1	=	=	SYM
ejpam-5921	248	1	1	1	NUM
ejpam-5921	249	1	(	(	PUNCT
ejpam-5921	249	2	1−	1−	NUM
ejpam-5921	249	3	s)(2−	s)(2−	PROPN
ejpam-5921	249	4	s)(3−	s)(3−	PROPN
ejpam-5921	249	5	s	s	NOUN
ejpam-5921	249	6	)	)	PUNCT
ejpam-5921	249	7	[	[	PUNCT
ejpam-5921	249	8	6(1−	6(1−	NUM
ejpam-5921	249	9	s)e[xr	s)e[xr	PROPN
ejpam-5921	249	10	]	]	X
ejpam-5921	249	11	+	+	CCONJ
ejpam-5921	249	12	3s(s+	3s(s+	NUM
ejpam-5921	249	13	1)e[xr+ρ	1)e[xr+ρ	NUM
ejpam-5921	249	14	]	]	X
ejpam-5921	249	15	]	]	PUNCT
ejpam-5921	249	16	,	,	PUNCT
ejpam-5921	249	17	(	(	PUNCT
ejpam-5921	249	18	19	19	NUM
ejpam-5921	249	19	)	)	PUNCT
ejpam-5921	249	20	where	where	SCONJ
ejpam-5921	249	21	e[xr	e[xr	PROPN
ejpam-5921	249	22	]	]	X
ejpam-5921	249	23	=	=	PUNCT
ejpam-5921	249	24	(	(	PUNCT
ejpam-5921	249	25	1	1	NUM
ejpam-5921	249	26	+	+	NOUN
ejpam-5921	249	27	2λ)r2+(5−2λ)r+6	2λ)r2+(5−2λ)r+6	NUM
ejpam-5921	249	28	(	(	PUNCT
ejpam-5921	249	29	r+1)(r+2)(r+3	r+1)(r+2)(r+3	NOUN
ejpam-5921	249	30	)	)	PUNCT
ejpam-5921	249	31	and	and	CCONJ
ejpam-5921	249	32	e[xr+ρ	e[xr+ρ	PROPN
ejpam-5921	249	33	]	]	X
ejpam-5921	250	1	=	=	X
ejpam-5921	250	2	(	(	PUNCT
ejpam-5921	250	3	1	1	NUM
ejpam-5921	250	4	+	+	NOUN
ejpam-5921	250	5	2λ)(r+ρ)2+(5−2λ)(r+ρ)+6	2λ)(r+ρ)2+(5−2λ)(r+ρ)+6	NUM
ejpam-5921	250	6	(	(	PUNCT
ejpam-5921	250	7	r+ρ+1)(r+ρ+2)(r+ρ+3	r+ρ+1)(r+ρ+2)(r+ρ+3	PROPN
ejpam-5921	250	8	)	)	PUNCT
ejpam-5921	250	9	.	.	PUNCT
ejpam-5921	251	1	proof	proof	NOUN
ejpam-5921	251	2	.	.	PUNCT
ejpam-5921	252	1	the	the	DET
ejpam-5921	252	2	product	product	NOUN
ejpam-5921	252	3	moment	moment	NOUN
ejpam-5921	252	4	of	of	ADP
ejpam-5921	252	5	x	x	PUNCT
ejpam-5921	252	6	and	and	CCONJ
ejpam-5921	252	7	y	y	PROPN
ejpam-5921	252	8	is	be	AUX
ejpam-5921	252	9	defined	define	VERB
ejpam-5921	252	10	as	as	ADP
ejpam-5921	252	11	e	e	PROPN
ejpam-5921	252	12	[	[	X
ejpam-5921	252	13	xry	xry	X
ejpam-5921	252	14	s	s	X
ejpam-5921	252	15	]	]	X
ejpam-5921	252	16	=	=	SYM
ejpam-5921	252	17	∫	∫	PROPN
ejpam-5921	252	18	1	1	NUM
ejpam-5921	252	19	0	0	NUM
ejpam-5921	252	20	∫	∫	PROPN
ejpam-5921	252	21	1	1	NUM
ejpam-5921	252	22	0	0	NUM
ejpam-5921	252	23	xrysf(x	xrysf(x	PROPN
ejpam-5921	252	24	,	,	PUNCT
ejpam-5921	252	25	y)dxdy	y)dxdy	X
ejpam-5921	253	1	=	=	SYM
ejpam-5921	253	2	1	1	NUM
ejpam-5921	253	3	(	(	PUNCT
ejpam-5921	253	4	s+	s+	NUM
ejpam-5921	253	5	1)(s+	1)(s+	NUM
ejpam-5921	253	6	2)(s+	2)(s+	NUM
ejpam-5921	253	7	3	3	NUM
ejpam-5921	253	8	)	)	PUNCT
ejpam-5921	253	9	[	[	PUNCT
ejpam-5921	253	10	6(s+	6(s+	NOUN
ejpam-5921	253	11	1	1	NUM
ejpam-5921	253	12	)	)	PUNCT
ejpam-5921	253	13	∫	∫	PROPN
ejpam-5921	253	14	1	1	NUM
ejpam-5921	253	15	0	0	NUM
ejpam-5921	253	16	xrf(x)dx	xrf(x)dx	PUNCT
ejpam-5921	253	17	+	+	CCONJ
ejpam-5921	253	18	3s(s−	3s(s−	NUM
ejpam-5921	253	19	1	1	NUM
ejpam-5921	253	20	)	)	PUNCT
ejpam-5921	253	21	∫	∫	PROPN
ejpam-5921	254	1	1	1	NUM
ejpam-5921	254	2	0	0	NUM
ejpam-5921	254	3	xr+ρf(x)dx	xr+ρf(x)dx	PRON
ejpam-5921	254	4	]	]	PUNCT
ejpam-5921	254	5	=	=	SYM
ejpam-5921	254	6	1	1	NUM
ejpam-5921	254	7	(	(	PUNCT
ejpam-5921	254	8	s+	s+	NUM
ejpam-5921	254	9	1)(s+	1)(s+	NUM
ejpam-5921	254	10	2)(s+	2)(s+	NUM
ejpam-5921	254	11	3	3	NUM
ejpam-5921	254	12	)	)	PUNCT
ejpam-5921	254	13	[	[	PUNCT
ejpam-5921	254	14	6(s+	6(s+	NUM
ejpam-5921	254	15	1)e[xr	1)e[xr	NOUN
ejpam-5921	254	16	]	]	X
ejpam-5921	255	1	+	+	CCONJ
ejpam-5921	255	2	3s(s−	3s(s−	NUM
ejpam-5921	255	3	1)e[xr+ρ	1)e[xr+ρ	NUM
ejpam-5921	255	4	]	]	X
ejpam-5921	255	5	]	]	PUNCT
ejpam-5921	255	6	,	,	PUNCT
ejpam-5921	255	7	i.	i.	PROPN
ejpam-5921	255	8	a.	a.	PROPN
ejpam-5921	255	9	lakibul	lakibul	PROPN
ejpam-5921	255	10	,	,	PUNCT
ejpam-5921	255	11	d.	d.	PROPN
ejpam-5921	255	12	l.	l.	PROPN
ejpam-5921	255	13	polestico	polestico	PROPN
ejpam-5921	255	14	,	,	PUNCT
ejpam-5921	255	15	a.	a.	PROPN
ejpam-5921	255	16	p.	p.	NOUN
ejpam-5921	255	17	supe	supe	PROPN
ejpam-5921	255	18	/	/	SYM
ejpam-5921	255	19	eur	eur	PROPN
ejpam-5921	255	20	.	.	PUNCT
ejpam-5921	256	1	j.	j.	PROPN
ejpam-5921	256	2	pure	pure	PROPN
ejpam-5921	256	3	appl	appl	PROPN
ejpam-5921	256	4	.	.	PROPN
ejpam-5921	256	5	math	math	PROPN
ejpam-5921	256	6	,	,	PUNCT
ejpam-5921	256	7	18	18	NUM
ejpam-5921	256	8	(	(	PUNCT
ejpam-5921	256	9	3	3	NUM
ejpam-5921	256	10	)	)	PUNCT
ejpam-5921	256	11	(	(	PUNCT
ejpam-5921	256	12	2025	2025	NUM
ejpam-5921	256	13	)	)	PUNCT
ejpam-5921	256	14	,	,	PUNCT
ejpam-5921	256	15	5921	5921	NUM
ejpam-5921	256	16	12	12	NUM
ejpam-5921	256	17	of	of	ADP
ejpam-5921	256	18	24	24	NUM
ejpam-5921	256	19	where	where	SCONJ
ejpam-5921	256	20	e[xr	e[xr	PROPN
ejpam-5921	256	21	]	]	X
ejpam-5921	256	22	=	=	PUNCT
ejpam-5921	256	23	(	(	PUNCT
ejpam-5921	256	24	1	1	NUM
ejpam-5921	256	25	+	+	CCONJ
ejpam-5921	256	26	2λ)r2	2λ)r2	NUM
ejpam-5921	256	27	+	+	CCONJ
ejpam-5921	256	28	(	(	PUNCT
ejpam-5921	256	29	5−	5−	NUM
ejpam-5921	256	30	2λ)r	2λ)r	NUM
ejpam-5921	257	1	+	+	CCONJ
ejpam-5921	258	1	6	6	NUM
ejpam-5921	258	2	(	(	PUNCT
ejpam-5921	258	3	r	r	NOUN
ejpam-5921	258	4	+	+	NUM
ejpam-5921	258	5	1)(r	1)(r	NUM
ejpam-5921	258	6	+	+	SYM
ejpam-5921	258	7	2)(r	2)(r	NUM
ejpam-5921	258	8	+	+	CCONJ
ejpam-5921	258	9	3	3	NUM
ejpam-5921	258	10	)	)	PUNCT
ejpam-5921	258	11	,	,	PUNCT
ejpam-5921	258	12	and	and	CCONJ
ejpam-5921	258	13	e[xr+ρ	e[xr+ρ	PROPN
ejpam-5921	258	14	]	]	X
ejpam-5921	258	15	=	=	X
ejpam-5921	258	16	(	(	PUNCT
ejpam-5921	258	17	1	1	NUM
ejpam-5921	258	18	+	+	NUM
ejpam-5921	258	19	2λ)(r	2λ)(r	NUM
ejpam-5921	258	20	+	+	CCONJ
ejpam-5921	258	21	ρ)2	ρ)2	NOUN
ejpam-5921	258	22	+	+	CCONJ
ejpam-5921	258	23	(	(	PUNCT
ejpam-5921	258	24	5−	5−	NUM
ejpam-5921	258	25	2λ)(r	2λ)(r	NUM
ejpam-5921	258	26	+	+	CCONJ
ejpam-5921	258	27	ρ	ρ	NOUN
ejpam-5921	258	28	)	)	PUNCT
ejpam-5921	258	29	+	+	CCONJ
ejpam-5921	258	30	6	6	NUM
ejpam-5921	258	31	(	(	PUNCT
ejpam-5921	258	32	r	r	NOUN
ejpam-5921	258	33	+	+	NOUN
ejpam-5921	258	34	ρ+	ρ+	NUM
ejpam-5921	258	35	1)(r	1)(r	NUM
ejpam-5921	258	36	+	+	NUM
ejpam-5921	258	37	ρ+	ρ+	NUM
ejpam-5921	258	38	2)(r	2)(r	NUM
ejpam-5921	258	39	+	+	NUM
ejpam-5921	258	40	ρ+	ρ+	NUM
ejpam-5921	258	41	3	3	NUM
ejpam-5921	258	42	)	)	PUNCT
ejpam-5921	258	43	.	.	PUNCT
ejpam-5921	259	1	next	next	ADV
ejpam-5921	259	2	,	,	PUNCT
ejpam-5921	259	3	the	the	DET
ejpam-5921	259	4	ratio	ratio	NOUN
ejpam-5921	259	5	moment	moment	NOUN
ejpam-5921	259	6	of	of	ADP
ejpam-5921	259	7	x	x	X
ejpam-5921	259	8	and	and	CCONJ
ejpam-5921	259	9	y	y	PROPN
ejpam-5921	259	10	is	be	AUX
ejpam-5921	259	11	defined	define	VERB
ejpam-5921	259	12	as	as	ADP
ejpam-5921	259	13	e	e	PROPN
ejpam-5921	259	14	[	[	PUNCT
ejpam-5921	259	15	xr	xr	PROPN
ejpam-5921	259	16	y	y	PROPN
ejpam-5921	259	17	s	s	PART
ejpam-5921	259	18	]	]	PUNCT
ejpam-5921	259	19	=	=	SYM
ejpam-5921	259	20	e	e	X
ejpam-5921	259	21	[	[	PUNCT
ejpam-5921	259	22	xry	xry	PROPN
ejpam-5921	259	23	−s	−s	NOUN
ejpam-5921	259	24	]	]	X
ejpam-5921	260	1	=	=	SYM
ejpam-5921	260	2	1	1	NUM
ejpam-5921	260	3	(	(	PUNCT
ejpam-5921	260	4	1−	1−	NUM
ejpam-5921	260	5	s)(2−	s)(2−	PROPN
ejpam-5921	260	6	s)(3−	s)(3−	PROPN
ejpam-5921	260	7	s	s	NOUN
ejpam-5921	260	8	)	)	PUNCT
ejpam-5921	260	9	[	[	PUNCT
ejpam-5921	260	10	6(1−	6(1−	NUM
ejpam-5921	260	11	s)e[xr	s)e[xr	PROPN
ejpam-5921	260	12	]	]	X
ejpam-5921	260	13	+	+	CCONJ
ejpam-5921	260	14	3s(s+	3s(s+	NUM
ejpam-5921	260	15	1)e[xr+ρ	1)e[xr+ρ	NUM
ejpam-5921	260	16	]	]	X
ejpam-5921	260	17	]	]	PUNCT
ejpam-5921	260	18	.	.	PUNCT
ejpam-5921	261	1	corollary	corollary	ADJ
ejpam-5921	261	2	5	5	NUM
ejpam-5921	261	3	.	.	PUNCT
ejpam-5921	262	1	let	let	VERB
ejpam-5921	262	2	x	x	PRON
ejpam-5921	262	3	and	and	CCONJ
ejpam-5921	262	4	y	y	PROPN
ejpam-5921	262	5	be	be	AUX
ejpam-5921	262	6	random	random	ADJ
ejpam-5921	262	7	variables	variable	NOUN
ejpam-5921	262	8	with	with	ADP
ejpam-5921	262	9	joint	joint	ADJ
ejpam-5921	262	10	pdf	pdf	NOUN
ejpam-5921	262	11	of	of	ADP
ejpam-5921	262	12	a	a	DET
ejpam-5921	262	13	ρ−besu	ρ−besu	NOUN
ejpam-5921	262	14	distribution	distribution	NOUN
ejpam-5921	262	15	with	with	ADP
ejpam-5921	262	16	product	product	NOUN
ejpam-5921	262	17	moment	moment	NOUN
ejpam-5921	262	18	given	give	VERB
ejpam-5921	262	19	in	in	ADP
ejpam-5921	262	20	equation	equation	NOUN
ejpam-5921	262	21	(	(	PUNCT
ejpam-5921	262	22	18	18	NUM
ejpam-5921	262	23	)	)	PUNCT
ejpam-5921	262	24	.	.	PUNCT
ejpam-5921	263	1	if	if	SCONJ
ejpam-5921	263	2	r	r	NOUN
ejpam-5921	263	3	=	=	SYM
ejpam-5921	263	4	s	s	NOUN
ejpam-5921	263	5	=	=	SYM
ejpam-5921	263	6	1	1	NUM
ejpam-5921	263	7	,	,	PUNCT
ejpam-5921	263	8	then	then	ADV
ejpam-5921	263	9	e[xy	e[xy	ADJ
ejpam-5921	263	10	]	]	X
ejpam-5921	263	11	=	=	SYM
ejpam-5921	263	12	1	1	NUM
ejpam-5921	263	13	4	4	NUM
ejpam-5921	263	14	.	.	PUNCT
ejpam-5921	264	1	(	(	PUNCT
ejpam-5921	264	2	20	20	NUM
ejpam-5921	264	3	)	)	PUNCT
ejpam-5921	264	4	proof	proof	NOUN
ejpam-5921	264	5	.	.	PUNCT
ejpam-5921	265	1	substituting	substitute	VERB
ejpam-5921	265	2	r	r	NOUN
ejpam-5921	265	3	=	=	SYM
ejpam-5921	265	4	s	s	NOUN
ejpam-5921	265	5	=	=	SYM
ejpam-5921	265	6	1	1	NUM
ejpam-5921	265	7	to	to	ADP
ejpam-5921	265	8	equation	equation	NOUN
ejpam-5921	265	9	(	(	PUNCT
ejpam-5921	265	10	18	18	NUM
ejpam-5921	265	11	)	)	PUNCT
ejpam-5921	265	12	gives	give	VERB
ejpam-5921	265	13	us	we	PRON
ejpam-5921	265	14	the	the	DET
ejpam-5921	265	15	e[xy	e[xy	NOUN
ejpam-5921	265	16	]	]	X
ejpam-5921	265	17	=	=	SYM
ejpam-5921	265	18	1	1	NUM
ejpam-5921	265	19	4	4	NUM
ejpam-5921	265	20	since	since	SCONJ
ejpam-5921	265	21	e[x	e[x	NOUN
ejpam-5921	265	22	]	]	X
ejpam-5921	265	23	=	=	SYM
ejpam-5921	265	24	1	1	NUM
ejpam-5921	265	25	2	2	NUM
ejpam-5921	265	26	.	.	PUNCT
ejpam-5921	266	1	remark	remark	VERB
ejpam-5921	266	2	4	4	NUM
ejpam-5921	266	3	.	.	PUNCT
ejpam-5921	267	1	the	the	DET
ejpam-5921	267	2	covariance	covariance	NOUN
ejpam-5921	267	3	of	of	ADP
ejpam-5921	267	4	x	x	PUNCT
ejpam-5921	267	5	and	and	CCONJ
ejpam-5921	267	6	y	y	PROPN
ejpam-5921	267	7	is	be	AUX
ejpam-5921	267	8	given	give	VERB
ejpam-5921	267	9	by	by	ADP
ejpam-5921	267	10	cov(x	cov(x	PROPN
ejpam-5921	267	11	,	,	PUNCT
ejpam-5921	267	12	y	y	PROPN
ejpam-5921	267	13	)	)	PUNCT
ejpam-5921	268	1	=	=	NOUN
ejpam-5921	268	2	e[xy	e[xy	ADJ
ejpam-5921	268	3	]	]	PUNCT
ejpam-5921	268	4	−	−	NOUN
ejpam-5921	268	5	e[x]e[y	e[x]e[y	NOUN
ejpam-5921	268	6	]	]	X
ejpam-5921	268	7	=	=	SYM
ejpam-5921	268	8	1	1	NUM
ejpam-5921	268	9	4	4	NUM
ejpam-5921	268	10	−	−	NOUN
ejpam-5921	268	11	1	1	NUM
ejpam-5921	268	12	2	2	NUM
ejpam-5921	268	13	(	(	PUNCT
ejpam-5921	268	14	1	1	NUM
ejpam-5921	268	15	2	2	NUM
ejpam-5921	268	16	)	)	PUNCT
ejpam-5921	268	17	=	=	SYM
ejpam-5921	268	18	0	0	X
ejpam-5921	268	19	.	.	PUNCT
ejpam-5921	268	20	remark	remark	PROPN
ejpam-5921	268	21	5	5	NUM
ejpam-5921	268	22	.	.	PUNCT
ejpam-5921	269	1	the	the	DET
ejpam-5921	269	2	pearson	pearson	PROPN
ejpam-5921	269	3	correlation	correlation	NOUN
ejpam-5921	269	4	or	or	CCONJ
ejpam-5921	269	5	correlation	correlation	NOUN
ejpam-5921	269	6	coefficient	coefficient	NOUN
ejpam-5921	269	7	of	of	ADP
ejpam-5921	269	8	x	x	PUNCT
ejpam-5921	269	9	and	and	CCONJ
ejpam-5921	269	10	y	y	PROPN
ejpam-5921	269	11	is	be	AUX
ejpam-5921	269	12	zero	zero	NUM
ejpam-5921	269	13	.	.	PUNCT
ejpam-5921	270	1	note	note	VERB
ejpam-5921	270	2	that	that	SCONJ
ejpam-5921	270	3	the	the	DET
ejpam-5921	270	4	correlation	correlation	NOUN
ejpam-5921	270	5	coefficient	coefficient	NOUN
ejpam-5921	270	6	of	of	ADP
ejpam-5921	270	7	x	x	PUNCT
ejpam-5921	270	8	and	and	CCONJ
ejpam-5921	270	9	y	y	PROPN
ejpam-5921	270	10	is	be	AUX
ejpam-5921	270	11	zero	zero	NUM
ejpam-5921	270	12	since	since	SCONJ
ejpam-5921	270	13	the	the	DET
ejpam-5921	270	14	covariance	covariance	NOUN
ejpam-5921	270	15	of	of	ADP
ejpam-5921	270	16	x	x	PUNCT
ejpam-5921	270	17	and	and	CCONJ
ejpam-5921	270	18	y	y	PROPN
ejpam-5921	270	19	is	be	AUX
ejpam-5921	270	20	zero	zero	NUM
ejpam-5921	270	21	.	.	PUNCT
ejpam-5921	271	1	this	this	PRON
ejpam-5921	271	2	implies	imply	VERB
ejpam-5921	271	3	that	that	SCONJ
ejpam-5921	271	4	there	there	PRON
ejpam-5921	271	5	is	be	VERB
ejpam-5921	271	6	no	no	DET
ejpam-5921	271	7	linear	linear	ADJ
ejpam-5921	271	8	relationship	relationship	NOUN
ejpam-5921	271	9	between	between	ADP
ejpam-5921	271	10	x	x	PROPN
ejpam-5921	271	11	and	and	CCONJ
ejpam-5921	271	12	y	y	PROPN
ejpam-5921	271	13	.	.	PUNCT
ejpam-5921	272	1	a	a	DET
ejpam-5921	272	2	nonlinear	nonlinear	ADJ
ejpam-5921	272	3	form	form	NOUN
ejpam-5921	272	4	may	may	AUX
ejpam-5921	272	5	best	well	ADV
ejpam-5921	272	6	describe	describe	VERB
ejpam-5921	272	7	the	the	DET
ejpam-5921	272	8	relationship	relationship	NOUN
ejpam-5921	272	9	between	between	ADP
ejpam-5921	272	10	x	x	PROPN
ejpam-5921	272	11	and	and	CCONJ
ejpam-5921	272	12	y	y	PROPN
ejpam-5921	272	13	.	.	PUNCT
ejpam-5921	273	1	theorem	theorem	VERB
ejpam-5921	273	2	6	6	NUM
ejpam-5921	273	3	.	.	PUNCT
ejpam-5921	274	1	let	let	AUX
ejpam-5921	274	2	(	(	PUNCT
ejpam-5921	274	3	x	x	X
ejpam-5921	274	4	,	,	PUNCT
ejpam-5921	274	5	y	y	PROPN
ejpam-5921	274	6	)	)	PUNCT
ejpam-5921	274	7	be	be	AUX
ejpam-5921	274	8	a	a	DET
ejpam-5921	274	9	bivariate	bivariate	ADJ
ejpam-5921	274	10	random	random	ADJ
ejpam-5921	274	11	vector	vector	NOUN
ejpam-5921	274	12	that	that	PRON
ejpam-5921	274	13	follows	follow	VERB
ejpam-5921	274	14	a	a	DET
ejpam-5921	274	15	ρ	ρ	NUM
ejpam-5921	274	16	bivariate	bivariate	ADJ
ejpam-5921	274	17	extended	extend	VERB
ejpam-5921	274	18	standard	standard	ADJ
ejpam-5921	274	19	u	u	ADJ
ejpam-5921	274	20	-	-	ADJ
ejpam-5921	274	21	quadratic	quadratic	ADJ
ejpam-5921	274	22	distribution	distribution	NOUN
ejpam-5921	274	23	,	,	PUNCT
ejpam-5921	274	24	then	then	ADV
ejpam-5921	274	25	the	the	DET
ejpam-5921	274	26	joint	joint	ADJ
ejpam-5921	274	27	moment	moment	NOUN
ejpam-5921	274	28	generating	generate	VERB
ejpam-5921	274	29	function	function	NOUN
ejpam-5921	274	30	of	of	ADP
ejpam-5921	274	31	x	x	PUNCT
ejpam-5921	274	32	and	and	CCONJ
ejpam-5921	274	33	y	y	PROPN
ejpam-5921	274	34	is	be	AUX
ejpam-5921	274	35	given	give	VERB
ejpam-5921	274	36	by	by	ADP
ejpam-5921	274	37	mx	mx	PROPN
ejpam-5921	274	38	,	,	PUNCT
ejpam-5921	274	39	y	y	PROPN
ejpam-5921	274	40	(	(	PUNCT
ejpam-5921	274	41	t1	t1	PROPN
ejpam-5921	274	42	,	,	PUNCT
ejpam-5921	274	43	t2	t2	NOUN
ejpam-5921	274	44	)	)	PUNCT
ejpam-5921	274	45	=	=	SYM
ejpam-5921	274	46	3	3	NUM
ejpam-5921	274	47	(	(	PUNCT
ejpam-5921	274	48	s+	s+	NUM
ejpam-5921	274	49	2)(s+	2)(s+	NUM
ejpam-5921	274	50	3	3	NUM
ejpam-5921	274	51	)	)	PUNCT
ejpam-5921	274	52	∞∑	∞∑	NUM
ejpam-5921	274	53	r=0	r=0	ADJ
ejpam-5921	274	54	tr1	tr1	NOUN
ejpam-5921	274	55	r	r	NOUN
ejpam-5921	274	56	!	!	PUNCT
ejpam-5921	275	1	∞∑	∞∑	NUM
ejpam-5921	275	2	s=0	s=0	PROPN
ejpam-5921	275	3	ts2	ts2	PROPN
ejpam-5921	275	4	s	s	PART
ejpam-5921	275	5	!	!	PUNCT
ejpam-5921	276	1	[	[	PUNCT
ejpam-5921	276	2	2e[xr	2e[xr	NUM
ejpam-5921	276	3	]	]	X
ejpam-5921	277	1	+	+	CCONJ
ejpam-5921	277	2	s(s−	s(s−	PROPN
ejpam-5921	277	3	1)e[xr+ρ	1)e[xr+ρ	NUM
ejpam-5921	277	4	]	]	PUNCT
ejpam-5921	277	5	(	(	PUNCT
ejpam-5921	277	6	s+	s+	X
ejpam-5921	277	7	1	1	NUM
ejpam-5921	277	8	)	)	PUNCT
ejpam-5921	277	9	]	]	PUNCT
ejpam-5921	277	10	,	,	PUNCT
ejpam-5921	277	11	i.	i.	PROPN
ejpam-5921	277	12	a.	a.	PROPN
ejpam-5921	277	13	lakibul	lakibul	PROPN
ejpam-5921	277	14	,	,	PUNCT
ejpam-5921	277	15	d.	d.	PROPN
ejpam-5921	277	16	l.	l.	PROPN
ejpam-5921	277	17	polestico	polestico	PROPN
ejpam-5921	277	18	,	,	PUNCT
ejpam-5921	277	19	a.	a.	PROPN
ejpam-5921	277	20	p.	p.	NOUN
ejpam-5921	277	21	supe	supe	PROPN
ejpam-5921	277	22	/	/	SYM
ejpam-5921	277	23	eur	eur	PROPN
ejpam-5921	277	24	.	.	PUNCT
ejpam-5921	278	1	j.	j.	PROPN
ejpam-5921	278	2	pure	pure	PROPN
ejpam-5921	278	3	appl	appl	PROPN
ejpam-5921	278	4	.	.	PROPN
ejpam-5921	278	5	math	math	PROPN
ejpam-5921	278	6	,	,	PUNCT
ejpam-5921	278	7	18	18	NUM
ejpam-5921	278	8	(	(	PUNCT
ejpam-5921	278	9	3	3	NUM
ejpam-5921	278	10	)	)	PUNCT
ejpam-5921	278	11	(	(	PUNCT
ejpam-5921	278	12	2025	2025	NUM
ejpam-5921	278	13	)	)	PUNCT
ejpam-5921	278	14	,	,	PUNCT
ejpam-5921	278	15	5921	5921	NUM
ejpam-5921	278	16	13	13	NUM
ejpam-5921	278	17	of	of	ADP
ejpam-5921	278	18	24	24	NUM
ejpam-5921	278	19	where	where	SCONJ
ejpam-5921	278	20	e[xr	e[xr	PROPN
ejpam-5921	278	21	]	]	X
ejpam-5921	278	22	=	=	PUNCT
ejpam-5921	278	23	(	(	PUNCT
ejpam-5921	278	24	1	1	NUM
ejpam-5921	278	25	+	+	CCONJ
ejpam-5921	278	26	2λ)r2	2λ)r2	NUM
ejpam-5921	278	27	+	+	CCONJ
ejpam-5921	278	28	(	(	PUNCT
ejpam-5921	278	29	5−	5−	NUM
ejpam-5921	278	30	2λ)r	2λ)r	NUM
ejpam-5921	279	1	+	+	CCONJ
ejpam-5921	280	1	6	6	NUM
ejpam-5921	280	2	(	(	PUNCT
ejpam-5921	280	3	r	r	NOUN
ejpam-5921	280	4	+	+	NUM
ejpam-5921	280	5	1)(r	1)(r	NUM
ejpam-5921	280	6	+	+	SYM
ejpam-5921	280	7	2)(r	2)(r	NUM
ejpam-5921	280	8	+	+	CCONJ
ejpam-5921	280	9	3	3	NUM
ejpam-5921	280	10	)	)	PUNCT
ejpam-5921	280	11	,	,	PUNCT
ejpam-5921	280	12	and	and	CCONJ
ejpam-5921	280	13	e[xr+ρ	e[xr+ρ	PROPN
ejpam-5921	280	14	]	]	X
ejpam-5921	280	15	=	=	X
ejpam-5921	280	16	(	(	PUNCT
ejpam-5921	280	17	1	1	NUM
ejpam-5921	280	18	+	+	NUM
ejpam-5921	280	19	2λ)(r	2λ)(r	NUM
ejpam-5921	280	20	+	+	CCONJ
ejpam-5921	280	21	ρ)2	ρ)2	NOUN
ejpam-5921	280	22	+	+	CCONJ
ejpam-5921	280	23	(	(	PUNCT
ejpam-5921	280	24	5−	5−	NUM
ejpam-5921	280	25	2λ)(r	2λ)(r	NUM
ejpam-5921	280	26	+	+	CCONJ
ejpam-5921	280	27	ρ	ρ	NOUN
ejpam-5921	280	28	)	)	PUNCT
ejpam-5921	280	29	+	+	CCONJ
ejpam-5921	280	30	6	6	NUM
ejpam-5921	280	31	(	(	PUNCT
ejpam-5921	280	32	r	r	NOUN
ejpam-5921	280	33	+	+	NOUN
ejpam-5921	280	34	ρ+	ρ+	NUM
ejpam-5921	280	35	1)(r	1)(r	NUM
ejpam-5921	280	36	+	+	NUM
ejpam-5921	280	37	ρ+	ρ+	NUM
ejpam-5921	280	38	2)(r	2)(r	NUM
ejpam-5921	280	39	+	+	NUM
ejpam-5921	280	40	ρ+	ρ+	NUM
ejpam-5921	280	41	3	3	NUM
ejpam-5921	280	42	)	)	PUNCT
ejpam-5921	280	43	.	.	PUNCT
ejpam-5921	281	1	proof	proof	NOUN
ejpam-5921	281	2	.	.	PUNCT
ejpam-5921	282	1	the	the	DET
ejpam-5921	282	2	joint	joint	ADJ
ejpam-5921	282	3	moment	moment	NOUN
ejpam-5921	282	4	generating	generate	VERB
ejpam-5921	282	5	function	function	NOUN
ejpam-5921	282	6	of	of	ADP
ejpam-5921	282	7	x	x	PUNCT
ejpam-5921	282	8	and	and	CCONJ
ejpam-5921	282	9	y	y	PROPN
ejpam-5921	282	10	is	be	AUX
ejpam-5921	282	11	defined	define	VERB
ejpam-5921	282	12	as	as	ADP
ejpam-5921	282	13	mx	mx	PROPN
ejpam-5921	282	14	,	,	PUNCT
ejpam-5921	282	15	y	y	PROPN
ejpam-5921	282	16	(	(	PUNCT
ejpam-5921	282	17	t1	t1	PROPN
ejpam-5921	282	18	,	,	PUNCT
ejpam-5921	282	19	t2	t2	NOUN
ejpam-5921	282	20	)	)	PUNCT
ejpam-5921	283	1	=	=	SYM
ejpam-5921	283	2	∫	∫	PROPN
ejpam-5921	283	3	1	1	NUM
ejpam-5921	283	4	0	0	NUM
ejpam-5921	283	5	∫	∫	PROPN
ejpam-5921	283	6	1	1	NUM
ejpam-5921	283	7	0	0	NUM
ejpam-5921	283	8	et1x+t2yf(x	et1x+t2yf(x	NOUN
ejpam-5921	283	9	,	,	PUNCT
ejpam-5921	283	10	y)dydx	y)dydx	PROPN
ejpam-5921	284	1	=	=	SYM
ejpam-5921	284	2	∫	∫	PROPN
ejpam-5921	284	3	1	1	NUM
ejpam-5921	284	4	0	0	NUM
ejpam-5921	284	5	∫	∫	PROPN
ejpam-5921	284	6	1	1	NUM
ejpam-5921	284	7	0	0	X
ejpam-5921	285	1	et1xet2yf(y|x)f(x)dydx	et1xet2yf(y|x)f(x)dydx	PROPN
ejpam-5921	285	2	.	.	PUNCT
ejpam-5921	286	1	recall	recall	VERB
ejpam-5921	286	2	that	that	DET
ejpam-5921	286	3	etx	etx	NOUN
ejpam-5921	287	1	=	=	SYM
ejpam-5921	287	2	∑∞	∑∞	NOUN
ejpam-5921	288	1	r=0	r=0	VERB
ejpam-5921	288	2	tr	tr	NOUN
ejpam-5921	288	3	r!x	r!x	PROPN
ejpam-5921	288	4	r	r	NOUN
ejpam-5921	288	5	,	,	PUNCT
ejpam-5921	288	6	then	then	ADV
ejpam-5921	288	7	we	we	PRON
ejpam-5921	288	8	have	have	VERB
ejpam-5921	288	9	mx	mx	PROPN
ejpam-5921	288	10	,	,	PUNCT
ejpam-5921	288	11	y	y	PROPN
ejpam-5921	288	12	(	(	PUNCT
ejpam-5921	288	13	t1	t1	PROPN
ejpam-5921	288	14	,	,	PUNCT
ejpam-5921	288	15	t2	t2	NOUN
ejpam-5921	288	16	)	)	PUNCT
ejpam-5921	288	17	=	=	SYM
ejpam-5921	289	1	∫	∫	PROPN
ejpam-5921	289	2	1	1	NUM
ejpam-5921	289	3	0	0	NUM
ejpam-5921	289	4	∫	∫	PROPN
ejpam-5921	289	5	1	1	NUM
ejpam-5921	289	6	0	0	NUM
ejpam-5921	289	7	∞∑	∞∑	NUM
ejpam-5921	289	8	r=0	r=0	ADJ
ejpam-5921	289	9	tr1	tr1	NOUN
ejpam-5921	289	10	r	r	NOUN
ejpam-5921	289	11	!	!	PUNCT
ejpam-5921	289	12	xr	xr	PROPN
ejpam-5921	290	1	∞∑	∞∑	PROPN
ejpam-5921	290	2	s=0	s=0	PROPN
ejpam-5921	290	3	ts2	ts2	PROPN
ejpam-5921	290	4	s	s	PART
ejpam-5921	290	5	!	!	PUNCT
ejpam-5921	291	1	ysf(y|x)f(x)dydx	ysf(y|x)f(x)dydx	X
ejpam-5921	291	2	=	=	PUNCT
ejpam-5921	292	1	∞∑	∞∑	NUM
ejpam-5921	292	2	r=0	r=0	ADJ
ejpam-5921	292	3	tr1	tr1	NOUN
ejpam-5921	292	4	r	r	NOUN
ejpam-5921	292	5	!	!	PUNCT
ejpam-5921	293	1	∞∑	∞∑	NUM
ejpam-5921	293	2	s=0	s=0	PROPN
ejpam-5921	293	3	ts2	ts2	PROPN
ejpam-5921	293	4	s	s	PART
ejpam-5921	293	5	!	!	PUNCT
ejpam-5921	293	6	∫	∫	PROPN
ejpam-5921	294	1	1	1	NUM
ejpam-5921	294	2	0	0	NUM
ejpam-5921	294	3	∫	∫	PROPN
ejpam-5921	294	4	1	1	NUM
ejpam-5921	294	5	0	0	NUM
ejpam-5921	294	6	xrysf(y|x)f(x)dydx	xrysf(y|x)f(x)dydx	NOUN
ejpam-5921	294	7	=	=	PUNCT
ejpam-5921	295	1	∞∑	∞∑	NUM
ejpam-5921	295	2	r=0	r=0	ADJ
ejpam-5921	295	3	tr1	tr1	NOUN
ejpam-5921	295	4	r	r	NOUN
ejpam-5921	295	5	!	!	PUNCT
ejpam-5921	296	1	∞∑	∞∑	NUM
ejpam-5921	296	2	s=0	s=0	PROPN
ejpam-5921	296	3	ts2	ts2	PROPN
ejpam-5921	296	4	s	s	PART
ejpam-5921	296	5	!	!	PUNCT
ejpam-5921	296	6	∫	∫	PROPN
ejpam-5921	297	1	1	1	NUM
ejpam-5921	297	2	0	0	NUM
ejpam-5921	297	3	xrf(x	xrf(x	PROPN
ejpam-5921	297	4	)	)	PUNCT
ejpam-5921	297	5	(	(	PUNCT
ejpam-5921	297	6	∫	∫	PROPN
ejpam-5921	297	7	1	1	NUM
ejpam-5921	297	8	0	0	NUM
ejpam-5921	297	9	ysf(y|x)dy	ysf(y|x)dy	NOUN
ejpam-5921	297	10	)	)	PUNCT
ejpam-5921	297	11	dx	dx	PROPN
ejpam-5921	298	1	=	=	PUNCT
ejpam-5921	299	1	∞∑	∞∑	NUM
ejpam-5921	299	2	r=0	r=0	PROPN
ejpam-5921	299	3	tr1	tr1	NOUN
ejpam-5921	299	4	r	r	NOUN
ejpam-5921	299	5	!	!	PUNCT
ejpam-5921	300	1	∞∑	∞∑	NUM
ejpam-5921	300	2	s=0	s=0	PROPN
ejpam-5921	300	3	ts2	ts2	PROPN
ejpam-5921	300	4	s	s	PART
ejpam-5921	300	5	!	!	PUNCT
ejpam-5921	300	6	∫	∫	PROPN
ejpam-5921	301	1	1	1	NUM
ejpam-5921	301	2	0	0	NUM
ejpam-5921	301	3	xrf(x	xrf(x	PROPN
ejpam-5921	301	4	)	)	PUNCT
ejpam-5921	301	5	(	(	PUNCT
ejpam-5921	301	6	6(s+	6(s+	NOUN
ejpam-5921	301	7	1	1	NUM
ejpam-5921	301	8	)	)	PUNCT
ejpam-5921	301	9	+	+	CCONJ
ejpam-5921	301	10	3s(s−	3s(s−	NUM
ejpam-5921	301	11	1)xρ	1)xρ	PROPN
ejpam-5921	301	12	(	(	PUNCT
ejpam-5921	301	13	s+	s+	NUM
ejpam-5921	301	14	1)(s+	1)(s+	NUM
ejpam-5921	301	15	2)(s+	2)(s+	NUM
ejpam-5921	301	16	3	3	NUM
ejpam-5921	301	17	)	)	PUNCT
ejpam-5921	301	18	)	)	PUNCT
ejpam-5921	301	19	dx	dx	PROPN
ejpam-5921	302	1	=	=	SYM
ejpam-5921	302	2	1	1	NUM
ejpam-5921	302	3	(	(	PUNCT
ejpam-5921	302	4	s+	s+	NUM
ejpam-5921	302	5	2)(s+	2)(s+	NUM
ejpam-5921	302	6	3	3	NUM
ejpam-5921	302	7	)	)	PUNCT
ejpam-5921	302	8	∞∑	∞∑	NUM
ejpam-5921	302	9	r=0	r=0	ADJ
ejpam-5921	302	10	tr1	tr1	NOUN
ejpam-5921	302	11	r	r	NOUN
ejpam-5921	302	12	!	!	PUNCT
ejpam-5921	303	1	∞∑	∞∑	NUM
ejpam-5921	303	2	s=0	s=0	PROPN
ejpam-5921	303	3	ts2	ts2	PROPN
ejpam-5921	303	4	s	s	PART
ejpam-5921	303	5	!	!	PUNCT
ejpam-5921	304	1	[	[	PUNCT
ejpam-5921	304	2	6	6	NUM
ejpam-5921	304	3	∫	∫	NOUN
ejpam-5921	304	4	1	1	NUM
ejpam-5921	304	5	0	0	SYM
ejpam-5921	304	6	xrf(x)dx+	xrf(x)dx+	NUM
ejpam-5921	304	7	3s(s−	3s(s−	NUM
ejpam-5921	304	8	1	1	NUM
ejpam-5921	304	9	)	)	PUNCT
ejpam-5921	304	10	s+	s+	PUNCT
ejpam-5921	304	11	1	1	NUM
ejpam-5921	304	12	∫	∫	PROPN
ejpam-5921	304	13	1	1	NUM
ejpam-5921	304	14	0	0	NUM
ejpam-5921	304	15	xr+ρf(x)dx	xr+ρf(x)dx	PRON
ejpam-5921	304	16	]	]	PUNCT
ejpam-5921	304	17	=	=	SYM
ejpam-5921	304	18	3	3	NUM
ejpam-5921	304	19	(	(	PUNCT
ejpam-5921	304	20	s+	s+	NUM
ejpam-5921	304	21	2)(s+	2)(s+	NUM
ejpam-5921	304	22	3	3	NUM
ejpam-5921	304	23	)	)	PUNCT
ejpam-5921	304	24	∞∑	∞∑	NUM
ejpam-5921	304	25	r=0	r=0	ADJ
ejpam-5921	304	26	tr1	tr1	NOUN
ejpam-5921	304	27	r	r	NOUN
ejpam-5921	304	28	!	!	PUNCT
ejpam-5921	305	1	∞∑	∞∑	NUM
ejpam-5921	305	2	s=0	s=0	PROPN
ejpam-5921	305	3	ts2	ts2	PROPN
ejpam-5921	305	4	s	s	PART
ejpam-5921	305	5	!	!	PUNCT
ejpam-5921	306	1	[	[	PUNCT
ejpam-5921	306	2	2e[xr	2e[xr	NUM
ejpam-5921	306	3	]	]	X
ejpam-5921	307	1	+	+	CCONJ
ejpam-5921	307	2	s(s−	s(s−	PROPN
ejpam-5921	307	3	1	1	NUM
ejpam-5921	307	4	)	)	PUNCT
ejpam-5921	307	5	s+	s+	PUNCT
ejpam-5921	307	6	1	1	NUM
ejpam-5921	307	7	e[xr+ρ	e[xr+ρ	PROPN
ejpam-5921	307	8	]	]	X
ejpam-5921	307	9	]	]	PUNCT
ejpam-5921	307	10	,	,	PUNCT
ejpam-5921	307	11	where	where	SCONJ
ejpam-5921	307	12	e[xr	e[xr	PROPN
ejpam-5921	307	13	]	]	X
ejpam-5921	307	14	=	=	PUNCT
ejpam-5921	307	15	(	(	PUNCT
ejpam-5921	307	16	1	1	NUM
ejpam-5921	307	17	+	+	CCONJ
ejpam-5921	307	18	2λ)r2	2λ)r2	NUM
ejpam-5921	307	19	+	+	CCONJ
ejpam-5921	307	20	(	(	PUNCT
ejpam-5921	307	21	5−	5−	NUM
ejpam-5921	307	22	2λ)r	2λ)r	NUM
ejpam-5921	307	23	+	+	CCONJ
ejpam-5921	307	24	6	6	NUM
ejpam-5921	307	25	(	(	PUNCT
ejpam-5921	307	26	r	r	NOUN
ejpam-5921	307	27	+	+	NUM
ejpam-5921	307	28	1)(r	1)(r	NUM
ejpam-5921	307	29	+	+	SYM
ejpam-5921	307	30	2)(r	2)(r	NUM
ejpam-5921	307	31	+	+	CCONJ
ejpam-5921	307	32	3	3	NUM
ejpam-5921	307	33	)	)	PUNCT
ejpam-5921	307	34	,	,	PUNCT
ejpam-5921	307	35	and	and	CCONJ
ejpam-5921	307	36	e[xr+ρ	e[xr+ρ	PROPN
ejpam-5921	307	37	]	]	X
ejpam-5921	307	38	=	=	X
ejpam-5921	307	39	(	(	PUNCT
ejpam-5921	307	40	1	1	NUM
ejpam-5921	307	41	+	+	NUM
ejpam-5921	307	42	2λ)(r	2λ)(r	NUM
ejpam-5921	307	43	+	+	CCONJ
ejpam-5921	307	44	ρ)2	ρ)2	NOUN
ejpam-5921	307	45	+	+	CCONJ
ejpam-5921	307	46	(	(	PUNCT
ejpam-5921	307	47	5−	5−	NUM
ejpam-5921	307	48	2λ)(r	2λ)(r	NUM
ejpam-5921	307	49	+	+	CCONJ
ejpam-5921	307	50	ρ	ρ	NOUN
ejpam-5921	307	51	)	)	PUNCT
ejpam-5921	307	52	+	+	CCONJ
ejpam-5921	307	53	6	6	NUM
ejpam-5921	307	54	(	(	PUNCT
ejpam-5921	307	55	r	r	NOUN
ejpam-5921	307	56	+	+	NOUN
ejpam-5921	307	57	ρ+	ρ+	NUM
ejpam-5921	307	58	1)(r	1)(r	NUM
ejpam-5921	307	59	+	+	NUM
ejpam-5921	307	60	ρ+	ρ+	NUM
ejpam-5921	307	61	2)(r	2)(r	NUM
ejpam-5921	307	62	+	+	NUM
ejpam-5921	307	63	ρ+	ρ+	NUM
ejpam-5921	307	64	3	3	NUM
ejpam-5921	307	65	)	)	PUNCT
ejpam-5921	307	66	.	.	PUNCT
ejpam-5921	308	1	i.	i.	PROPN
ejpam-5921	308	2	a.	a.	PROPN
ejpam-5921	308	3	lakibul	lakibul	PROPN
ejpam-5921	308	4	,	,	PUNCT
ejpam-5921	308	5	d.	d.	PROPN
ejpam-5921	308	6	l.	l.	PROPN
ejpam-5921	308	7	polestico	polestico	PROPN
ejpam-5921	308	8	,	,	PUNCT
ejpam-5921	308	9	a.	a.	PROPN
ejpam-5921	308	10	p.	p.	NOUN
ejpam-5921	308	11	supe	supe	PROPN
ejpam-5921	308	12	/	/	SYM
ejpam-5921	308	13	eur	eur	PROPN
ejpam-5921	308	14	.	.	PUNCT
ejpam-5921	309	1	j.	j.	PROPN
ejpam-5921	309	2	pure	pure	PROPN
ejpam-5921	309	3	appl	appl	PROPN
ejpam-5921	309	4	.	.	PROPN
ejpam-5921	309	5	math	math	PROPN
ejpam-5921	309	6	,	,	PUNCT
ejpam-5921	309	7	18	18	NUM
ejpam-5921	309	8	(	(	PUNCT
ejpam-5921	309	9	3	3	NUM
ejpam-5921	309	10	)	)	PUNCT
ejpam-5921	309	11	(	(	PUNCT
ejpam-5921	309	12	2025	2025	NUM
ejpam-5921	309	13	)	)	PUNCT
ejpam-5921	309	14	,	,	PUNCT
ejpam-5921	309	15	5921	5921	NUM
ejpam-5921	309	16	14	14	NUM
ejpam-5921	309	17	of	of	ADP
ejpam-5921	309	18	24	24	NUM
ejpam-5921	309	19	lemma	lemma	PROPN
ejpam-5921	309	20	1	1	NUM
ejpam-5921	309	21	.	.	PUNCT
ejpam-5921	310	1	let	let	VERB
ejpam-5921	310	2	x	x	PRON
ejpam-5921	310	3	be	be	AUX
ejpam-5921	310	4	a	a	DET
ejpam-5921	310	5	random	random	ADJ
ejpam-5921	310	6	variable	variable	NOUN
ejpam-5921	310	7	that	that	PRON
ejpam-5921	310	8	follows	follow	VERB
ejpam-5921	310	9	an	an	DET
ejpam-5921	310	10	esu	esu	NOUN
ejpam-5921	310	11	distribution	distribution	NOUN
ejpam-5921	310	12	,	,	PUNCT
ejpam-5921	310	13	then∫	then∫	NOUN
ejpam-5921	310	14	1	1	NUM
ejpam-5921	310	15	0	0	NUM
ejpam-5921	310	16	f	f	NOUN
ejpam-5921	310	17	(	(	PUNCT
ejpam-5921	310	18	x)f(x)dx	x)f(x)dx	ADJ
ejpam-5921	310	19	=	=	SYM
ejpam-5921	310	20	1	1	NUM
ejpam-5921	310	21	2	2	NUM
ejpam-5921	310	22	,	,	PUNCT
ejpam-5921	310	23	where	where	SCONJ
ejpam-5921	310	24	f	f	PROPN
ejpam-5921	310	25	(	(	PUNCT
ejpam-5921	310	26	x	x	NOUN
ejpam-5921	310	27	)	)	PUNCT
ejpam-5921	310	28	and	and	CCONJ
ejpam-5921	310	29	f(x	f(x	PROPN
ejpam-5921	310	30	)	)	PUNCT
ejpam-5921	310	31	are	be	AUX
ejpam-5921	310	32	cdf	cdf	NOUN
ejpam-5921	310	33	and	and	CCONJ
ejpam-5921	310	34	pdf	pdf	NOUN
ejpam-5921	310	35	of	of	ADP
ejpam-5921	310	36	the	the	DET
ejpam-5921	310	37	esu	esu	NOUN
ejpam-5921	310	38	distribution	distribution	NOUN
ejpam-5921	310	39	.	.	PUNCT
ejpam-5921	311	1	proof	proof	NOUN
ejpam-5921	311	2	.	.	PUNCT
ejpam-5921	312	1	let	let	VERB
ejpam-5921	312	2	x	x	PRON
ejpam-5921	312	3	be	be	AUX
ejpam-5921	312	4	a	a	DET
ejpam-5921	312	5	random	random	ADJ
ejpam-5921	312	6	variable	variable	NOUN
ejpam-5921	312	7	that	that	PRON
ejpam-5921	312	8	follows	follow	VERB
ejpam-5921	312	9	an	an	DET
ejpam-5921	312	10	esu	esu	NOUN
ejpam-5921	312	11	distribution	distribution	NOUN
ejpam-5921	312	12	with	with	ADP
ejpam-5921	312	13	cdf	cdf	PROPN
ejpam-5921	312	14	f	f	PROPN
ejpam-5921	312	15	(	(	PUNCT
ejpam-5921	312	16	x	x	NOUN
ejpam-5921	312	17	)	)	PUNCT
ejpam-5921	312	18	and	and	CCONJ
ejpam-5921	312	19	pdf	pdf	NOUN
ejpam-5921	312	20	f(x	f(x	PROPN
ejpam-5921	312	21	)	)	PUNCT
ejpam-5921	312	22	,	,	PUNCT
ejpam-5921	312	23	respectively	respectively	ADV
ejpam-5921	312	24	.	.	PUNCT
ejpam-5921	313	1	then	then	ADV
ejpam-5921	313	2	,	,	PUNCT
ejpam-5921	313	3	using	use	VERB
ejpam-5921	313	4	the	the	DET
ejpam-5921	313	5	rth	rth	ADJ
ejpam-5921	313	6	moment	moment	NOUN
ejpam-5921	313	7	of	of	ADP
ejpam-5921	313	8	esu	esu	NOUN
ejpam-5921	313	9	distribution	distribution	NOUN
ejpam-5921	313	10	,	,	PUNCT
ejpam-5921	313	11	we	we	PRON
ejpam-5921	313	12	have∫	have∫	VERB
ejpam-5921	313	13	1	1	NUM
ejpam-5921	313	14	0	0	NUM
ejpam-5921	313	15	f	f	NOUN
ejpam-5921	313	16	(	(	PUNCT
ejpam-5921	313	17	x)f(x)dx	x)f(x)dx	PROPN
ejpam-5921	314	1	=	=	SYM
ejpam-5921	314	2	∫	∫	PROPN
ejpam-5921	314	3	1	1	NUM
ejpam-5921	314	4	0	0	NUM
ejpam-5921	314	5	[	[	PUNCT
ejpam-5921	314	6	(	(	PUNCT
ejpam-5921	314	7	1	1	NUM
ejpam-5921	314	8	+	+	NUM
ejpam-5921	314	9	2λ)x−	2λ)x−	NUM
ejpam-5921	314	10	6λx2	6λx2	NUM
ejpam-5921	314	11	+	+	CCONJ
ejpam-5921	314	12	4λx3	4λx3	NUM
ejpam-5921	314	13	]	]	PUNCT
ejpam-5921	315	1	f(x)dx	f(x)dx	VERB
ejpam-5921	315	2	=(	=(	NOUN
ejpam-5921	315	3	1	1	NUM
ejpam-5921	315	4	+	+	NUM
ejpam-5921	315	5	2λ)e[x]−	2λ)e[x]−	NUM
ejpam-5921	315	6	6λe[x2	6λe[x2	NUM
ejpam-5921	315	7	]	]	X
ejpam-5921	315	8	+	+	CCONJ
ejpam-5921	315	9	4λe[x3	4λe[x3	NUM
ejpam-5921	315	10	]	]	X
ejpam-5921	315	11	=	=	SYM
ejpam-5921	315	12	1	1	NUM
ejpam-5921	315	13	2	2	NUM
ejpam-5921	315	14	.	.	PUNCT
ejpam-5921	316	1	theorem	theorem	VERB
ejpam-5921	316	2	7	7	NUM
ejpam-5921	316	3	.	.	PUNCT
ejpam-5921	317	1	let	let	VERB
ejpam-5921	317	2	(	(	PUNCT
ejpam-5921	317	3	x	x	X
ejpam-5921	317	4	,	,	PUNCT
ejpam-5921	317	5	y	y	PROPN
ejpam-5921	317	6	)	)	PUNCT
ejpam-5921	317	7	be	be	AUX
ejpam-5921	317	8	the	the	DET
ejpam-5921	317	9	random	random	ADJ
ejpam-5921	317	10	vector	vector	NOUN
ejpam-5921	317	11	that	that	PRON
ejpam-5921	317	12	follows	follow	VERB
ejpam-5921	317	13	a	a	DET
ejpam-5921	317	14	ρ−besu	ρ−besu	NOUN
ejpam-5921	317	15	distribution	distribution	NOUN
ejpam-5921	317	16	,	,	PUNCT
ejpam-5921	317	17	then	then	ADV
ejpam-5921	317	18	the	the	DET
ejpam-5921	317	19	kendall	kendall	PROPN
ejpam-5921	317	20	’s	’s	PART
ejpam-5921	317	21	tau	tau	PROPN
ejpam-5921	317	22	coefficient	coefficient	NOUN
ejpam-5921	317	23	is	be	AUX
ejpam-5921	317	24	zero	zero	NUM
ejpam-5921	317	25	.	.	PUNCT
ejpam-5921	318	1	proof	proof	NOUN
ejpam-5921	318	2	.	.	PUNCT
ejpam-5921	319	1	let	let	AUX
ejpam-5921	319	2	(	(	PUNCT
ejpam-5921	319	3	x	x	X
ejpam-5921	319	4	,	,	PUNCT
ejpam-5921	319	5	y	y	PROPN
ejpam-5921	319	6	)	)	PUNCT
ejpam-5921	319	7	be	be	AUX
ejpam-5921	319	8	the	the	DET
ejpam-5921	319	9	random	random	ADJ
ejpam-5921	319	10	vector	vector	NOUN
ejpam-5921	319	11	that	that	PRON
ejpam-5921	319	12	follows	follow	VERB
ejpam-5921	319	13	a	a	DET
ejpam-5921	319	14	ρ	ρ	NOUN
ejpam-5921	319	15	−	−	NOUN
ejpam-5921	319	16	besu	besu	NOUN
ejpam-5921	319	17	distribution	distribution	NOUN
ejpam-5921	319	18	with	with	ADP
ejpam-5921	319	19	joint	joint	ADJ
ejpam-5921	319	20	pdf	pdf	NOUN
ejpam-5921	319	21	and	and	CCONJ
ejpam-5921	319	22	cdf	cdf	PROPN
ejpam-5921	319	23	given	give	VERB
ejpam-5921	319	24	in	in	ADP
ejpam-5921	319	25	equations	equation	NOUN
ejpam-5921	319	26	(	(	PUNCT
ejpam-5921	319	27	6	6	NUM
ejpam-5921	319	28	)	)	PUNCT
ejpam-5921	319	29	and	and	CCONJ
ejpam-5921	319	30	(	(	PUNCT
ejpam-5921	319	31	7	7	NUM
ejpam-5921	319	32	)	)	PUNCT
ejpam-5921	319	33	,	,	PUNCT
ejpam-5921	319	34	respectively	respectively	ADV
ejpam-5921	319	35	.	.	PUNCT
ejpam-5921	320	1	then	then	ADV
ejpam-5921	320	2	,	,	PUNCT
ejpam-5921	320	3	the	the	DET
ejpam-5921	320	4	kendall	kendall	PROPN
ejpam-5921	320	5	’s	’s	PART
ejpam-5921	320	6	tau	tau	PROPN
ejpam-5921	320	7	coefficient	coefficient	NOUN
ejpam-5921	320	8	is	be	AUX
ejpam-5921	320	9	defined	define	VERB
ejpam-5921	320	10	as	as	ADP
ejpam-5921	320	11	τ	τ	PROPN
ejpam-5921	320	12	=	=	PROPN
ejpam-5921	320	13	4	4	NUM
ejpam-5921	320	14	∫	∫	NOUN
ejpam-5921	320	15	1	1	NUM
ejpam-5921	320	16	0	0	NUM
ejpam-5921	320	17	∫	∫	PROPN
ejpam-5921	320	18	1	1	NUM
ejpam-5921	320	19	0	0	NUM
ejpam-5921	320	20	fx	fx	PROPN
ejpam-5921	320	21	,	,	PUNCT
ejpam-5921	320	22	y	y	PROPN
ejpam-5921	320	23	(	(	PUNCT
ejpam-5921	320	24	x	x	PROPN
ejpam-5921	320	25	,	,	PUNCT
ejpam-5921	320	26	y)fx	y)fx	PROPN
ejpam-5921	320	27	,	,	PUNCT
ejpam-5921	320	28	y	y	PROPN
ejpam-5921	320	29	(	(	PUNCT
ejpam-5921	320	30	x	x	PROPN
ejpam-5921	320	31	,	,	PUNCT
ejpam-5921	320	32	y)dxdy	y)dxdy	PROPN
ejpam-5921	321	1	−	−	PROPN
ejpam-5921	321	2	1	1	NUM
ejpam-5921	321	3	,	,	PUNCT
ejpam-5921	321	4	(	(	PUNCT
ejpam-5921	321	5	21	21	NUM
ejpam-5921	321	6	)	)	PUNCT
ejpam-5921	321	7	where	where	SCONJ
ejpam-5921	321	8	fx	fx	PROPN
ejpam-5921	321	9	,	,	PUNCT
ejpam-5921	321	10	y	y	PROPN
ejpam-5921	321	11	(	(	PUNCT
ejpam-5921	321	12	x	x	PROPN
ejpam-5921	321	13	,	,	PUNCT
ejpam-5921	321	14	y	y	PROPN
ejpam-5921	321	15	)	)	PUNCT
ejpam-5921	321	16	and	and	CCONJ
ejpam-5921	321	17	fx	fx	PROPN
ejpam-5921	321	18	,	,	PUNCT
ejpam-5921	321	19	y	y	PROPN
ejpam-5921	321	20	(	(	PUNCT
ejpam-5921	321	21	x	x	PROPN
ejpam-5921	321	22	,	,	PUNCT
ejpam-5921	321	23	y	y	NOUN
ejpam-5921	321	24	)	)	PUNCT
ejpam-5921	321	25	are	be	AUX
ejpam-5921	321	26	joint	joint	ADJ
ejpam-5921	321	27	cdf	cdf	PROPN
ejpam-5921	321	28	and	and	CCONJ
ejpam-5921	321	29	pdf	pdf	NOUN
ejpam-5921	321	30	of	of	ADP
ejpam-5921	321	31	the	the	DET
ejpam-5921	321	32	random	random	ADJ
ejpam-5921	321	33	variables	variable	NOUN
ejpam-5921	321	34	x	x	PUNCT
ejpam-5921	321	35	and	and	CCONJ
ejpam-5921	321	36	y	y	PROPN
ejpam-5921	321	37	,	,	PUNCT
ejpam-5921	321	38	respectively	respectively	ADV
ejpam-5921	321	39	.	.	PUNCT
ejpam-5921	322	1	let	let	VERB
ejpam-5921	322	2	us	we	PRON
ejpam-5921	322	3	first	first	ADJ
ejpam-5921	322	4	consider∫	consider∫	NOUN
ejpam-5921	322	5	1	1	NUM
ejpam-5921	322	6	0	0	NUM
ejpam-5921	322	7	fx	fx	PROPN
ejpam-5921	322	8	,	,	PUNCT
ejpam-5921	322	9	y	y	PROPN
ejpam-5921	322	10	(	(	PUNCT
ejpam-5921	322	11	x	x	PROPN
ejpam-5921	322	12	,	,	PUNCT
ejpam-5921	322	13	y)fx	y)fx	PROPN
ejpam-5921	322	14	,	,	PUNCT
ejpam-5921	322	15	y	y	PROPN
ejpam-5921	322	16	(	(	PUNCT
ejpam-5921	322	17	x	x	NOUN
ejpam-5921	322	18	,	,	PUNCT
ejpam-5921	322	19	y)dv	y)dv	PROPN
ejpam-5921	322	20	=	=	SYM
ejpam-5921	322	21	∫	∫	PROPN
ejpam-5921	322	22	1	1	NUM
ejpam-5921	322	23	0	0	NUM
ejpam-5921	323	1	[	[	PUNCT
ejpam-5921	323	2	3y	3y	NUM
ejpam-5921	323	3	(	(	PUNCT
ejpam-5921	323	4	2y2	2y2	NUM
ejpam-5921	323	5	−	−	NOUN
ejpam-5921	323	6	3y	3y	NUM
ejpam-5921	323	7	+	+	NOUN
ejpam-5921	323	8	1	1	X
ejpam-5921	323	9	)	)	PUNCT
ejpam-5921	323	10	mρ(x)−	mρ(x)−	NOUN
ejpam-5921	323	11	(	(	PUNCT
ejpam-5921	323	12	2y	2y	PROPN
ejpam-5921	323	13	−	−	PROPN
ejpam-5921	323	14	3)y2f	3)y2f	NUM
ejpam-5921	323	15	(	(	PUNCT
ejpam-5921	323	16	x	x	X
ejpam-5921	323	17	)	)	PUNCT
ejpam-5921	323	18	]	]	PUNCT
ejpam-5921	323	19	{	{	PUNCT
ejpam-5921	323	20	[	[	PUNCT
ejpam-5921	323	21	1.5−	1.5−	NUM
ejpam-5921	323	22	1.5xρ	1.5xρ	NUM
ejpam-5921	323	23	+	+	CCONJ
ejpam-5921	323	24	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	323	25	−	−	NOUN
ejpam-5921	323	26	0.5)(2y	0.5)(2y	PRON
ejpam-5921	323	27	−	−	PROPN
ejpam-5921	323	28	1)2	1)2	NUM
ejpam-5921	323	29	]	]	PUNCT
ejpam-5921	323	30	f(x	f(x	PROPN
ejpam-5921	323	31	)	)	PUNCT
ejpam-5921	323	32	}	}	PUNCT
ejpam-5921	324	1	dy	dy	NOUN
ejpam-5921	324	2	=	=	NOUN
ejpam-5921	324	3	mρ(x)f(x	mρ(x)f(x	NOUN
ejpam-5921	324	4	)	)	PUNCT
ejpam-5921	324	5	∫	∫	PROPN
ejpam-5921	325	1	1	1	NUM
ejpam-5921	325	2	0	0	NUM
ejpam-5921	325	3	3y	3y	NUM
ejpam-5921	325	4	(	(	PUNCT
ejpam-5921	325	5	2y2	2y2	NUM
ejpam-5921	325	6	−	−	NOUN
ejpam-5921	326	1	3y	3y	NUM
ejpam-5921	326	2	+	+	NOUN
ejpam-5921	326	3	1	1	X
ejpam-5921	326	4	)	)	PUNCT
ejpam-5921	326	5	{	{	PUNCT
ejpam-5921	326	6	[	[	PUNCT
ejpam-5921	326	7	1.5−	1.5−	NUM
ejpam-5921	326	8	1.5xρ	1.5xρ	NUM
ejpam-5921	326	9	+	+	CCONJ
ejpam-5921	327	1	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	327	2	−	−	NOUN
ejpam-5921	327	3	0.5)(2y	0.5)(2y	PRON
ejpam-5921	327	4	−	−	PROPN
ejpam-5921	328	1	1)2	1)2	NUM
ejpam-5921	328	2	]	]	PUNCT
ejpam-5921	328	3	}	}	PUNCT
ejpam-5921	328	4	dy	dy	NOUN
ejpam-5921	328	5	−	−	PROPN
ejpam-5921	328	6	f	f	PROPN
ejpam-5921	328	7	(	(	PUNCT
ejpam-5921	328	8	x)f(x	x)f(x	PROPN
ejpam-5921	328	9	)	)	PUNCT
ejpam-5921	328	10	∫	∫	PROPN
ejpam-5921	328	11	1	1	NUM
ejpam-5921	328	12	0	0	NUM
ejpam-5921	328	13	(	(	PUNCT
ejpam-5921	328	14	2y	2y	NUM
ejpam-5921	328	15	−	−	ADP
ejpam-5921	328	16	3)y2×	3)y2×	NOUN
ejpam-5921	328	17	[	[	PUNCT
ejpam-5921	328	18	1.5−	1.5−	NUM
ejpam-5921	328	19	1.5xρ	1.5xρ	NUM
ejpam-5921	328	20	+	+	CCONJ
ejpam-5921	328	21	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	328	22	−	−	NOUN
ejpam-5921	329	1	0.5)(2y	0.5)(2y	PRON
ejpam-5921	330	1	−	−	PROPN
ejpam-5921	330	2	1)2	1)2	NUM
ejpam-5921	330	3	]	]	PUNCT
ejpam-5921	331	1	dy	dy	NOUN
ejpam-5921	331	2	.	.	PUNCT
ejpam-5921	331	3	now	now	ADV
ejpam-5921	331	4	set	set	VERB
ejpam-5921	331	5	a	a	DET
ejpam-5921	331	6	≡	≡	PROPN
ejpam-5921	331	7	1.5−	1.5−	CCONJ
ejpam-5921	331	8	1.5xρ+3(1.5xρ−	1.5xρ+3(1.5xρ−	NUM
ejpam-5921	331	9	0.5)(2y−	0.5)(2y−	NOUN
ejpam-5921	331	10	1)2	1)2	NUM
ejpam-5921	331	11	,	,	PUNCT
ejpam-5921	331	12	which	which	PRON
ejpam-5921	331	13	is	be	AUX
ejpam-5921	331	14	the	the	DET
ejpam-5921	331	15	f(y|x	f(y|x	NOUN
ejpam-5921	331	16	)	)	PUNCT
ejpam-5921	331	17	,	,	PUNCT
ejpam-5921	331	18	where	where	SCONJ
ejpam-5921	331	19	y	y	PROPN
ejpam-5921	331	20	|x	|x	PROPN
ejpam-5921	331	21	follows	follow	VERB
ejpam-5921	331	22	an	an	DET
ejpam-5921	331	23	esu	esu	NOUN
ejpam-5921	331	24	distribution	distribution	NOUN
ejpam-5921	331	25	with	with	ADP
ejpam-5921	331	26	parameter	parameter	NOUN
ejpam-5921	331	27	1.5xρ	1.5xρ	PROPN
ejpam-5921	331	28	−	−	PROPN
ejpam-5921	331	29	0.5.∫	0.5.∫	NOUN
ejpam-5921	331	30	1	1	NUM
ejpam-5921	331	31	0	0	NUM
ejpam-5921	331	32	fx	fx	PROPN
ejpam-5921	331	33	,	,	PUNCT
ejpam-5921	331	34	y	y	PROPN
ejpam-5921	331	35	(	(	PUNCT
ejpam-5921	331	36	x	x	PROPN
ejpam-5921	331	37	,	,	PUNCT
ejpam-5921	331	38	y)fx	y)fx	PROPN
ejpam-5921	331	39	,	,	PUNCT
ejpam-5921	331	40	y	y	PROPN
ejpam-5921	331	41	(	(	PUNCT
ejpam-5921	331	42	x	x	NOUN
ejpam-5921	331	43	,	,	PUNCT
ejpam-5921	331	44	y)dy	y)dy	PROPN
ejpam-5921	331	45	=	=	SYM
ejpam-5921	331	46	mρ(x)f(x	mρ(x)f(x	NOUN
ejpam-5921	331	47	)	)	PUNCT
ejpam-5921	331	48	∫	∫	PROPN
ejpam-5921	332	1	1	1	NUM
ejpam-5921	332	2	0	0	NUM
ejpam-5921	332	3	6y3ady	6y3ady	NUM
ejpam-5921	332	4	−mρ(x)f(x	−mρ(x)f(x	NOUN
ejpam-5921	332	5	)	)	PUNCT
ejpam-5921	332	6	∫	∫	PROPN
ejpam-5921	332	7	1	1	NUM
ejpam-5921	332	8	0	0	NUM
ejpam-5921	332	9	9y2ady	9y2ady	PROPN
ejpam-5921	332	10	i.	i.	PROPN
ejpam-5921	332	11	a.	a.	PROPN
ejpam-5921	332	12	lakibul	lakibul	PROPN
ejpam-5921	332	13	,	,	PUNCT
ejpam-5921	332	14	d.	d.	PROPN
ejpam-5921	332	15	l.	l.	PROPN
ejpam-5921	332	16	polestico	polestico	PROPN
ejpam-5921	332	17	,	,	PUNCT
ejpam-5921	332	18	a.	a.	PROPN
ejpam-5921	332	19	p.	p.	NOUN
ejpam-5921	332	20	supe	supe	PROPN
ejpam-5921	332	21	/	/	SYM
ejpam-5921	332	22	eur	eur	PROPN
ejpam-5921	332	23	.	.	PUNCT
ejpam-5921	333	1	j.	j.	PROPN
ejpam-5921	333	2	pure	pure	PROPN
ejpam-5921	333	3	appl	appl	PROPN
ejpam-5921	333	4	.	.	PROPN
ejpam-5921	333	5	math	math	PROPN
ejpam-5921	333	6	,	,	PUNCT
ejpam-5921	333	7	18	18	NUM
ejpam-5921	333	8	(	(	PUNCT
ejpam-5921	333	9	3	3	NUM
ejpam-5921	333	10	)	)	PUNCT
ejpam-5921	333	11	(	(	PUNCT
ejpam-5921	333	12	2025	2025	NUM
ejpam-5921	333	13	)	)	PUNCT
ejpam-5921	333	14	,	,	PUNCT
ejpam-5921	333	15	5921	5921	NUM
ejpam-5921	333	16	15	15	NUM
ejpam-5921	333	17	of	of	ADP
ejpam-5921	333	18	24	24	NUM
ejpam-5921	333	19	+	+	NOUN
ejpam-5921	333	20	mρ(x)f(x	mρ(x)f(x	NOUN
ejpam-5921	333	21	)	)	PUNCT
ejpam-5921	333	22	∫	∫	PROPN
ejpam-5921	334	1	1	1	NUM
ejpam-5921	334	2	0	0	NUM
ejpam-5921	335	1	3yady	3yady	NUM
ejpam-5921	335	2	−	−	NOUN
ejpam-5921	335	3	f	f	X
ejpam-5921	335	4	(	(	PUNCT
ejpam-5921	335	5	x)f(x	x)f(x	PROPN
ejpam-5921	335	6	)	)	PUNCT
ejpam-5921	335	7	∫	∫	PROPN
ejpam-5921	335	8	1	1	NUM
ejpam-5921	335	9	0	0	NUM
ejpam-5921	335	10	2y3ady	2y3ady	PROPN
ejpam-5921	335	11	+	+	NUM
ejpam-5921	335	12	f	f	X
ejpam-5921	335	13	(	(	PUNCT
ejpam-5921	335	14	x)f(x	x)f(x	PROPN
ejpam-5921	335	15	)	)	PUNCT
ejpam-5921	335	16	∫	∫	PROPN
ejpam-5921	335	17	1	1	NUM
ejpam-5921	335	18	0	0	NUM
ejpam-5921	335	19	3y2ady	3y2ady	NUM
ejpam-5921	335	20	=	=	SYM
ejpam-5921	335	21	mρ(x)f(x	mρ(x)f(x	NOUN
ejpam-5921	335	22	)	)	PUNCT
ejpam-5921	335	23	(	(	PUNCT
ejpam-5921	335	24	6e[y	6e[y	NUM
ejpam-5921	335	25	3|x	3|x	NUM
ejpam-5921	335	26	=	=	SYM
ejpam-5921	335	27	x]−	x]−	NOUN
ejpam-5921	336	1	9e[y	9e[y	NUM
ejpam-5921	336	2	2|x	2|x	NUM
ejpam-5921	337	1	=	=	PUNCT
ejpam-5921	337	2	x	x	X
ejpam-5921	337	3	]	]	X
ejpam-5921	337	4	+	+	CCONJ
ejpam-5921	337	5	3e[y	3e[y	NUM
ejpam-5921	337	6	|x	|x	NOUN
ejpam-5921	337	7	=	=	SYM
ejpam-5921	337	8	x	x	X
ejpam-5921	337	9	]	]	X
ejpam-5921	337	10	)	)	PUNCT
ejpam-5921	338	1	−	−	PROPN
ejpam-5921	338	2	f	f	X
ejpam-5921	338	3	(	(	PUNCT
ejpam-5921	338	4	x)f(x	x)f(x	PROPN
ejpam-5921	338	5	)	)	PUNCT
ejpam-5921	338	6	(	(	PUNCT
ejpam-5921	338	7	2e[y	2e[y	NUM
ejpam-5921	338	8	3|x	3|x	NUM
ejpam-5921	338	9	=	=	SYM
ejpam-5921	338	10	x	x	X
ejpam-5921	338	11	]	]	X
ejpam-5921	338	12	+	+	CCONJ
ejpam-5921	338	13	3e[y	3e[y	NUM
ejpam-5921	338	14	2|x	2|x	NUM
ejpam-5921	338	15	=	=	PUNCT
ejpam-5921	338	16	x	x	X
ejpam-5921	338	17	]	]	PUNCT
ejpam-5921	338	18	)	)	PUNCT
ejpam-5921	338	19	.	.	PUNCT
ejpam-5921	339	1	observe	observe	VERB
ejpam-5921	339	2	from	from	ADP
ejpam-5921	339	3	the	the	DET
ejpam-5921	339	4	construction	construction	NOUN
ejpam-5921	339	5	of	of	ADP
ejpam-5921	339	6	the	the	DET
ejpam-5921	339	7	ρ	ρ	PROPN
ejpam-5921	339	8	−	−	PROPN
ejpam-5921	339	9	besu	besu	NOUN
ejpam-5921	339	10	distribution	distribution	NOUN
ejpam-5921	339	11	that	that	SCONJ
ejpam-5921	339	12	the	the	DET
ejpam-5921	339	13	random	random	ADJ
ejpam-5921	339	14	variable	variable	NOUN
ejpam-5921	339	15	y	y	PROPN
ejpam-5921	339	16	|x	|x	PROPN
ejpam-5921	339	17	follows	follow	VERB
ejpam-5921	339	18	an	an	DET
ejpam-5921	339	19	esu	esu	NOUN
ejpam-5921	339	20	distribution	distribution	NOUN
ejpam-5921	339	21	with	with	ADP
ejpam-5921	339	22	parameter	parameter	NOUN
ejpam-5921	339	23	1.5xρ	1.5xρ	PROPN
ejpam-5921	339	24	−	−	PROPN
ejpam-5921	339	25	0.5	0.5	NUM
ejpam-5921	339	26	.	.	PUNCT
ejpam-5921	340	1	now	now	ADV
ejpam-5921	340	2	,	,	PUNCT
ejpam-5921	340	3	using	use	VERB
ejpam-5921	340	4	the	the	DET
ejpam-5921	340	5	rth	rth	ADJ
ejpam-5921	340	6	moment	moment	NOUN
ejpam-5921	340	7	of	of	ADP
ejpam-5921	340	8	esu	esu	NOUN
ejpam-5921	340	9	distribution	distribution	NOUN
ejpam-5921	340	10	for	for	ADP
ejpam-5921	340	11	y	y	PROPN
ejpam-5921	340	12	|x	|x	PROPN
ejpam-5921	340	13	,	,	PUNCT
ejpam-5921	340	14	we	we	PRON
ejpam-5921	340	15	have∫	have∫	VERB
ejpam-5921	340	16	1	1	NUM
ejpam-5921	340	17	0	0	NUM
ejpam-5921	340	18	fx	fx	PROPN
ejpam-5921	340	19	,	,	PUNCT
ejpam-5921	340	20	y	y	PROPN
ejpam-5921	340	21	(	(	PUNCT
ejpam-5921	340	22	x	x	PROPN
ejpam-5921	340	23	,	,	PUNCT
ejpam-5921	340	24	y)fx	y)fx	PROPN
ejpam-5921	340	25	,	,	PUNCT
ejpam-5921	340	26	y	y	PROPN
ejpam-5921	340	27	(	(	PUNCT
ejpam-5921	340	28	x	x	NOUN
ejpam-5921	340	29	,	,	PUNCT
ejpam-5921	340	30	y)dv	y)dv	PROPN
ejpam-5921	340	31	=	=	SYM
ejpam-5921	340	32	mρ(x)f(x	mρ(x)f(x	PROPN
ejpam-5921	340	33	)	)	PUNCT
ejpam-5921	340	34	[	[	PUNCT
ejpam-5921	340	35	6	6	NUM
ejpam-5921	340	36	(	(	PUNCT
ejpam-5921	340	37	4	4	NUM
ejpam-5921	341	1	+	+	CCONJ
ejpam-5921	341	2	3xρ	3xρ	ADJ
ejpam-5921	341	3	20	20	NUM
ejpam-5921	341	4	)	)	PUNCT
ejpam-5921	342	1	−	−	PROPN
ejpam-5921	342	2	9	9	NUM
ejpam-5921	342	3	(	(	PUNCT
ejpam-5921	342	4	3	3	NUM
ejpam-5921	342	5	+	+	CCONJ
ejpam-5921	342	6	xρ	xρ	PROPN
ejpam-5921	342	7	10	10	NUM
ejpam-5921	342	8	)	)	PUNCT
ejpam-5921	343	1	+	+	CCONJ
ejpam-5921	343	2	3	3	NUM
ejpam-5921	343	3	(	(	PUNCT
ejpam-5921	343	4	1	1	NUM
ejpam-5921	343	5	2	2	NUM
ejpam-5921	343	6	)	)	PUNCT
ejpam-5921	343	7	]	]	PUNCT
ejpam-5921	344	1	−	−	PROPN
ejpam-5921	344	2	f	f	X
ejpam-5921	344	3	(	(	PUNCT
ejpam-5921	344	4	x)f(x	x)f(x	PROPN
ejpam-5921	344	5	)	)	PUNCT
ejpam-5921	344	6	[	[	PUNCT
ejpam-5921	344	7	2	2	NUM
ejpam-5921	344	8	(	(	PUNCT
ejpam-5921	344	9	4	4	NUM
ejpam-5921	344	10	+	+	CCONJ
ejpam-5921	344	11	3xρ	3xρ	ADJ
ejpam-5921	344	12	20	20	NUM
ejpam-5921	344	13	)	)	PUNCT
ejpam-5921	345	1	+	+	CCONJ
ejpam-5921	345	2	3	3	NUM
ejpam-5921	345	3	(	(	PUNCT
ejpam-5921	345	4	3	3	NUM
ejpam-5921	345	5	+	+	CCONJ
ejpam-5921	345	6	xρ	xρ	PROPN
ejpam-5921	345	7	10	10	NUM
ejpam-5921	345	8	)	)	PUNCT
ejpam-5921	345	9	]	]	PUNCT
ejpam-5921	345	10	=	=	SYM
ejpam-5921	345	11	1	1	NUM
ejpam-5921	345	12	2	2	NUM
ejpam-5921	345	13	f	f	X
ejpam-5921	345	14	(	(	PUNCT
ejpam-5921	345	15	x)f(x	x)f(x	PROPN
ejpam-5921	345	16	)	)	PUNCT
ejpam-5921	345	17	.	.	PUNCT
ejpam-5921	346	1	now	now	ADV
ejpam-5921	346	2	,	,	PUNCT
ejpam-5921	346	3	we	we	PRON
ejpam-5921	346	4	have	have	VERB
ejpam-5921	346	5	τ	τ	X
ejpam-5921	346	6	=	=	NOUN
ejpam-5921	346	7	4	4	NUM
ejpam-5921	346	8	∫	∫	NOUN
ejpam-5921	346	9	1	1	NUM
ejpam-5921	346	10	0	0	NUM
ejpam-5921	346	11	1	1	NUM
ejpam-5921	346	12	2	2	NUM
ejpam-5921	346	13	f(x)f	f(x)f	NOUN
ejpam-5921	346	14	(	(	PUNCT
ejpam-5921	346	15	x)dx−	x)dx−	NOUN
ejpam-5921	346	16	1	1	NUM
ejpam-5921	346	17	=	=	SYM
ejpam-5921	346	18	2	2	NUM
ejpam-5921	346	19	∫	∫	NOUN
ejpam-5921	346	20	1	1	NUM
ejpam-5921	346	21	0	0	NUM
ejpam-5921	346	22	f(x)f	f(x)f	NOUN
ejpam-5921	346	23	(	(	PUNCT
ejpam-5921	346	24	x)dx−	x)dx−	NOUN
ejpam-5921	346	25	1	1	NUM
ejpam-5921	346	26	.	.	PUNCT
ejpam-5921	346	27	from	from	ADP
ejpam-5921	346	28	lemma	lemma	PROPN
ejpam-5921	346	29	(	(	PUNCT
ejpam-5921	346	30	1	1	NUM
ejpam-5921	346	31	)	)	PUNCT
ejpam-5921	346	32	,	,	PUNCT
ejpam-5921	346	33	we	we	PRON
ejpam-5921	346	34	have	have	VERB
ejpam-5921	346	35	∫	∫	PROPN
ejpam-5921	347	1	1	1	NUM
ejpam-5921	347	2	0	0	NUM
ejpam-5921	347	3	f	f	NOUN
ejpam-5921	347	4	(	(	PUNCT
ejpam-5921	347	5	x)f(x)du	x)f(x)du	PROPN
ejpam-5921	347	6	=	=	NOUN
ejpam-5921	347	7	1	1	NUM
ejpam-5921	347	8	2	2	NUM
ejpam-5921	347	9	.	.	PUNCT
ejpam-5921	348	1	thus	thus	ADV
ejpam-5921	348	2	,	,	PUNCT
ejpam-5921	348	3	the	the	DET
ejpam-5921	348	4	kendall	kendall	PROPN
ejpam-5921	348	5	’s	’s	PART
ejpam-5921	348	6	tau	tau	PROPN
ejpam-5921	348	7	coefficient	coefficient	NOUN
ejpam-5921	348	8	becomes	become	VERB
ejpam-5921	348	9	τ	τ	PROPN
ejpam-5921	348	10	=	=	SYM
ejpam-5921	348	11	0	0	PROPN
ejpam-5921	348	12	.	.	PUNCT
ejpam-5921	348	13	theorem	theorem	NOUN
ejpam-5921	348	14	8	8	NUM
ejpam-5921	348	15	.	.	PUNCT
ejpam-5921	349	1	let	let	AUX
ejpam-5921	349	2	(	(	PUNCT
ejpam-5921	349	3	x	x	X
ejpam-5921	349	4	,	,	PUNCT
ejpam-5921	349	5	y	y	PROPN
ejpam-5921	349	6	)	)	PUNCT
ejpam-5921	349	7	be	be	AUX
ejpam-5921	349	8	the	the	DET
ejpam-5921	349	9	random	random	ADJ
ejpam-5921	349	10	vector	vector	NOUN
ejpam-5921	349	11	that	that	PRON
ejpam-5921	349	12	follows	follow	VERB
ejpam-5921	349	13	a	a	DET
ejpam-5921	349	14	ρ−besu	ρ−besu	NOUN
ejpam-5921	349	15	distribution	distribution	NOUN
ejpam-5921	349	16	,	,	PUNCT
ejpam-5921	349	17	then	then	ADV
ejpam-5921	349	18	the	the	DET
ejpam-5921	349	19	spearman	spearman	NOUN
ejpam-5921	349	20	’s	’s	PART
ejpam-5921	349	21	rho	rho	ADJ
ejpam-5921	349	22	coefficient	coefficient	NOUN
ejpam-5921	349	23	is	be	AUX
ejpam-5921	349	24	zero	zero	NUM
ejpam-5921	349	25	.	.	PUNCT
ejpam-5921	350	1	proof	proof	NOUN
ejpam-5921	350	2	.	.	PUNCT
ejpam-5921	351	1	let	let	AUX
ejpam-5921	351	2	(	(	PUNCT
ejpam-5921	351	3	x	x	X
ejpam-5921	351	4	,	,	PUNCT
ejpam-5921	351	5	y	y	PROPN
ejpam-5921	351	6	)	)	PUNCT
ejpam-5921	351	7	be	be	AUX
ejpam-5921	351	8	the	the	DET
ejpam-5921	351	9	random	random	ADJ
ejpam-5921	351	10	vector	vector	NOUN
ejpam-5921	351	11	that	that	PRON
ejpam-5921	351	12	follows	follow	VERB
ejpam-5921	351	13	a	a	DET
ejpam-5921	351	14	ρ	ρ	NOUN
ejpam-5921	351	15	−	−	NOUN
ejpam-5921	351	16	besu	besu	NOUN
ejpam-5921	351	17	distribution	distribution	NOUN
ejpam-5921	351	18	with	with	ADP
ejpam-5921	351	19	joint	joint	ADJ
ejpam-5921	351	20	pdf	pdf	NOUN
ejpam-5921	351	21	and	and	CCONJ
ejpam-5921	351	22	cdf	cdf	PROPN
ejpam-5921	351	23	given	give	VERB
ejpam-5921	351	24	in	in	ADP
ejpam-5921	351	25	equations	equation	NOUN
ejpam-5921	351	26	(	(	PUNCT
ejpam-5921	351	27	6	6	NUM
ejpam-5921	351	28	)	)	PUNCT
ejpam-5921	351	29	and	and	CCONJ
ejpam-5921	351	30	(	(	PUNCT
ejpam-5921	351	31	7	7	NUM
ejpam-5921	351	32	)	)	PUNCT
ejpam-5921	351	33	,	,	PUNCT
ejpam-5921	351	34	respectively	respectively	ADV
ejpam-5921	351	35	.	.	PUNCT
ejpam-5921	352	1	then	then	ADV
ejpam-5921	352	2	,	,	PUNCT
ejpam-5921	352	3	the	the	DET
ejpam-5921	352	4	spearman	spearman	NOUN
ejpam-5921	352	5	’s	’s	PART
ejpam-5921	352	6	rho	rho	ADJ
ejpam-5921	352	7	coefficient	coefficient	NOUN
ejpam-5921	352	8	is	be	AUX
ejpam-5921	352	9	defined	define	VERB
ejpam-5921	352	10	as	as	ADP
ejpam-5921	352	11	ρ∗	ρ∗	PROPN
ejpam-5921	352	12	=	=	PROPN
ejpam-5921	352	13	12	12	NUM
ejpam-5921	352	14	∫	∫	NOUN
ejpam-5921	352	15	1	1	NUM
ejpam-5921	352	16	0	0	NUM
ejpam-5921	352	17	∫	∫	PROPN
ejpam-5921	352	18	1	1	NUM
ejpam-5921	352	19	0	0	NUM
ejpam-5921	353	1	[	[	X
ejpam-5921	353	2	f	f	X
ejpam-5921	353	3	(	(	PUNCT
ejpam-5921	353	4	x	x	X
ejpam-5921	353	5	,	,	PUNCT
ejpam-5921	353	6	y)−	y)−	PROPN
ejpam-5921	353	7	f	f	PROPN
ejpam-5921	353	8	(	(	PUNCT
ejpam-5921	353	9	x)f	x)f	X
ejpam-5921	353	10	(	(	PUNCT
ejpam-5921	353	11	y	y	NOUN
ejpam-5921	353	12	)	)	PUNCT
ejpam-5921	353	13	]	]	PUNCT
ejpam-5921	353	14	f(x)f(y)dxdy	f(x)f(y)dxdy	NOUN
ejpam-5921	353	15	i.	i.	PROPN
ejpam-5921	353	16	a.	a.	PROPN
ejpam-5921	353	17	lakibul	lakibul	PROPN
ejpam-5921	353	18	,	,	PUNCT
ejpam-5921	353	19	d.	d.	PROPN
ejpam-5921	353	20	l.	l.	PROPN
ejpam-5921	353	21	polestico	polestico	PROPN
ejpam-5921	353	22	,	,	PUNCT
ejpam-5921	353	23	a.	a.	PROPN
ejpam-5921	353	24	p.	p.	NOUN
ejpam-5921	353	25	supe	supe	PROPN
ejpam-5921	353	26	/	/	SYM
ejpam-5921	353	27	eur	eur	PROPN
ejpam-5921	353	28	.	.	PUNCT
ejpam-5921	354	1	j.	j.	PROPN
ejpam-5921	354	2	pure	pure	PROPN
ejpam-5921	354	3	appl	appl	PROPN
ejpam-5921	354	4	.	.	PROPN
ejpam-5921	354	5	math	math	PROPN
ejpam-5921	354	6	,	,	PUNCT
ejpam-5921	354	7	18	18	NUM
ejpam-5921	354	8	(	(	PUNCT
ejpam-5921	354	9	3	3	NUM
ejpam-5921	354	10	)	)	PUNCT
ejpam-5921	354	11	(	(	PUNCT
ejpam-5921	354	12	2025	2025	NUM
ejpam-5921	354	13	)	)	PUNCT
ejpam-5921	354	14	,	,	PUNCT
ejpam-5921	354	15	5921	5921	NUM
ejpam-5921	354	16	16	16	NUM
ejpam-5921	354	17	of	of	ADP
ejpam-5921	354	18	24	24	NUM
ejpam-5921	354	19	ρ∗	ρ∗	NOUN
ejpam-5921	354	20	=	=	NUM
ejpam-5921	354	21	12	12	NUM
ejpam-5921	354	22	∫	∫	NOUN
ejpam-5921	354	23	1	1	NUM
ejpam-5921	354	24	0	0	NUM
ejpam-5921	354	25	∫	∫	PROPN
ejpam-5921	354	26	1	1	NUM
ejpam-5921	354	27	0	0	NUM
ejpam-5921	354	28	f	f	PROPN
ejpam-5921	354	29	(	(	PUNCT
ejpam-5921	354	30	x	x	X
ejpam-5921	354	31	,	,	PUNCT
ejpam-5921	354	32	y)f(x)f(y)dxdy	y)f(x)f(y)dxdy	X
ejpam-5921	355	1	−	−	PROPN
ejpam-5921	355	2	12	12	NUM
ejpam-5921	355	3	∫	∫	NOUN
ejpam-5921	355	4	1	1	NUM
ejpam-5921	355	5	0	0	NUM
ejpam-5921	355	6	∫	∫	PROPN
ejpam-5921	355	7	1	1	NUM
ejpam-5921	355	8	0	0	NUM
ejpam-5921	355	9	f	f	PROPN
ejpam-5921	355	10	(	(	PUNCT
ejpam-5921	355	11	x)f	x)f	X
ejpam-5921	355	12	(	(	PUNCT
ejpam-5921	355	13	y)f(x)f(y)dxdy	y)f(x)f(y)dxdy	X
ejpam-5921	355	14	.	.	PUNCT
ejpam-5921	356	1	set	set	PROPN
ejpam-5921	356	2	s	s	PART
ejpam-5921	357	1	=	=	X
ejpam-5921	357	2	∫	∫	PROPN
ejpam-5921	357	3	1	1	NUM
ejpam-5921	357	4	0	0	NUM
ejpam-5921	357	5	f	f	PROPN
ejpam-5921	357	6	(	(	PUNCT
ejpam-5921	357	7	x	x	NOUN
ejpam-5921	357	8	,	,	PUNCT
ejpam-5921	357	9	y)f(x)f(y)dy	y)f(x)f(y)dy	NUM
ejpam-5921	357	10	.	.	PUNCT
ejpam-5921	358	1	it	it	PRON
ejpam-5921	358	2	follows	follow	VERB
ejpam-5921	358	3	that	that	SCONJ
ejpam-5921	358	4	s	s	VERB
ejpam-5921	358	5	=	=	ADJ
ejpam-5921	358	6	f(x	f(x	PROPN
ejpam-5921	358	7	)	)	PUNCT
ejpam-5921	358	8	∫	∫	PROPN
ejpam-5921	359	1	1	1	NUM
ejpam-5921	359	2	0	0	NUM
ejpam-5921	359	3	f	f	PROPN
ejpam-5921	359	4	(	(	PUNCT
ejpam-5921	359	5	x	x	NOUN
ejpam-5921	359	6	,	,	PUNCT
ejpam-5921	359	7	y)f(y)dy	y)f(y)dy	NOUN
ejpam-5921	359	8	=	=	SYM
ejpam-5921	359	9	f(x	f(x	PROPN
ejpam-5921	359	10	)	)	PUNCT
ejpam-5921	359	11	∫	∫	PROPN
ejpam-5921	360	1	1	1	NUM
ejpam-5921	360	2	0	0	NUM
ejpam-5921	360	3	[	[	PUNCT
ejpam-5921	360	4	3y	3y	NUM
ejpam-5921	360	5	(	(	PUNCT
ejpam-5921	360	6	2y2	2y2	NUM
ejpam-5921	360	7	−	−	NOUN
ejpam-5921	360	8	3y	3y	NUM
ejpam-5921	360	9	+	+	NOUN
ejpam-5921	360	10	1	1	X
ejpam-5921	360	11	)	)	PUNCT
ejpam-5921	360	12	mρ(x)−	mρ(x)−	NOUN
ejpam-5921	360	13	(	(	PUNCT
ejpam-5921	360	14	2y	2y	PROPN
ejpam-5921	360	15	−	−	PROPN
ejpam-5921	360	16	3)y2f	3)y2f	NUM
ejpam-5921	360	17	(	(	PUNCT
ejpam-5921	360	18	x	x	X
ejpam-5921	360	19	)	)	PUNCT
ejpam-5921	360	20	]	]	PUNCT
ejpam-5921	360	21	f(y)dy	f(y)dy	X
ejpam-5921	360	22	=	=	SYM
ejpam-5921	360	23	f(x)mρ(x	f(x)mρ(x	NOUN
ejpam-5921	360	24	)	)	PUNCT
ejpam-5921	360	25	∫	∫	PROPN
ejpam-5921	360	26	1	1	NUM
ejpam-5921	360	27	0	0	NUM
ejpam-5921	360	28	(	(	PUNCT
ejpam-5921	360	29	6y3	6y3	NUM
ejpam-5921	360	30	−	−	NUM
ejpam-5921	360	31	9y2	9y2	NUM
ejpam-5921	360	32	+	+	CCONJ
ejpam-5921	360	33	3y	3y	NUM
ejpam-5921	360	34	)	)	PUNCT
ejpam-5921	360	35	f(y)dy	f(y)dy	CCONJ
ejpam-5921	360	36	−	−	PROPN
ejpam-5921	360	37	f(x)f	f(x)f	X
ejpam-5921	360	38	(	(	PUNCT
ejpam-5921	360	39	x	x	X
ejpam-5921	360	40	)	)	PUNCT
ejpam-5921	360	41	∫	∫	PROPN
ejpam-5921	360	42	1	1	NUM
ejpam-5921	360	43	0	0	NUM
ejpam-5921	360	44	(	(	PUNCT
ejpam-5921	360	45	2y3	2y3	NUM
ejpam-5921	360	46	−	−	NOUN
ejpam-5921	360	47	3y2	3y2	NUM
ejpam-5921	360	48	)	)	PUNCT
ejpam-5921	360	49	f(y)dy	f(y)dy	NOUN
ejpam-5921	360	50	=	=	SYM
ejpam-5921	360	51	1	1	NUM
ejpam-5921	360	52	2	2	NUM
ejpam-5921	360	53	f(x)f	f(x)f	NOUN
ejpam-5921	360	54	(	(	PUNCT
ejpam-5921	360	55	x	x	NOUN
ejpam-5921	360	56	)	)	PUNCT
ejpam-5921	360	57	.	.	PUNCT
ejpam-5921	361	1	also	also	ADV
ejpam-5921	361	2	,	,	PUNCT
ejpam-5921	361	3	from	from	ADP
ejpam-5921	361	4	lemma	lemma	PROPN
ejpam-5921	361	5	(	(	PUNCT
ejpam-5921	361	6	1	1	NUM
ejpam-5921	361	7	)	)	PUNCT
ejpam-5921	361	8	,	,	PUNCT
ejpam-5921	361	9	we	we	PRON
ejpam-5921	361	10	have	have	VERB
ejpam-5921	361	11	∫	∫	PROPN
ejpam-5921	361	12	1	1	NUM
ejpam-5921	361	13	0	0	NUM
ejpam-5921	361	14	f	f	PROPN
ejpam-5921	361	15	(	(	PUNCT
ejpam-5921	361	16	x)f(x)dx	x)f(x)dx	ADJ
ejpam-5921	361	17	=	=	SYM
ejpam-5921	361	18	1	1	NUM
ejpam-5921	361	19	2	2	NUM
ejpam-5921	361	20	.	.	PUNCT
ejpam-5921	362	1	hence	hence	ADV
ejpam-5921	362	2	,	,	PUNCT
ejpam-5921	362	3	the	the	DET
ejpam-5921	362	4	spearman	spearman	NOUN
ejpam-5921	362	5	’s	’s	PART
ejpam-5921	362	6	rho	rho	NOUN
ejpam-5921	362	7	is	be	AUX
ejpam-5921	362	8	simplified	simplify	VERB
ejpam-5921	362	9	to	to	ADP
ejpam-5921	362	10	ρ∗	ρ∗	PROPN
ejpam-5921	362	11	=	=	NUM
ejpam-5921	362	12	12	12	NUM
ejpam-5921	362	13	∫	∫	PROPN
ejpam-5921	362	14	1	1	NUM
ejpam-5921	362	15	0	0	NUM
ejpam-5921	362	16	(	(	PUNCT
ejpam-5921	362	17	∫	∫	PROPN
ejpam-5921	362	18	1	1	NUM
ejpam-5921	362	19	0	0	NUM
ejpam-5921	362	20	f	f	PROPN
ejpam-5921	362	21	(	(	PUNCT
ejpam-5921	362	22	x	x	X
ejpam-5921	362	23	,	,	PUNCT
ejpam-5921	362	24	y)f(x)f(y)dy	y)f(x)f(y)dy	NUM
ejpam-5921	362	25	)	)	PUNCT
ejpam-5921	362	26	dx−	dx−	PRON
ejpam-5921	362	27	12	12	NUM
ejpam-5921	362	28	∫	∫	NOUN
ejpam-5921	362	29	1	1	NUM
ejpam-5921	362	30	0	0	NUM
ejpam-5921	362	31	f(x)f	f(x)f	NOUN
ejpam-5921	362	32	(	(	PUNCT
ejpam-5921	362	33	x	x	X
ejpam-5921	362	34	)	)	PUNCT
ejpam-5921	362	35	(	(	PUNCT
ejpam-5921	362	36	∫	∫	PROPN
ejpam-5921	362	37	1	1	NUM
ejpam-5921	362	38	0	0	NUM
ejpam-5921	362	39	f	f	NOUN
ejpam-5921	362	40	(	(	PUNCT
ejpam-5921	362	41	y)f(y)dy	y)f(y)dy	NOUN
ejpam-5921	362	42	)	)	PUNCT
ejpam-5921	362	43	dx	dx	PROPN
ejpam-5921	363	1	=	=	SYM
ejpam-5921	363	2	0	0	X
ejpam-5921	363	3	.	.	PUNCT
ejpam-5921	364	1	in	in	ADP
ejpam-5921	364	2	the	the	DET
ejpam-5921	364	3	following	follow	VERB
ejpam-5921	364	4	theorem	theorem	NOUN
ejpam-5921	364	5	we	we	PRON
ejpam-5921	364	6	derive	derive	VERB
ejpam-5921	364	7	the	the	DET
ejpam-5921	364	8	stress	stress	NOUN
ejpam-5921	364	9	-	-	PUNCT
ejpam-5921	364	10	strength	strength	NOUN
ejpam-5921	364	11	parameter	parameter	NOUN
ejpam-5921	364	12	for	for	ADP
ejpam-5921	364	13	the	the	DET
ejpam-5921	364	14	ρ	ρ	PROPN
ejpam-5921	364	15	−	−	PROPN
ejpam-5921	364	16	besu	besu	NOUN
ejpam-5921	364	17	distribution	distribution	NOUN
ejpam-5921	364	18	.	.	PUNCT
ejpam-5921	365	1	the	the	DET
ejpam-5921	365	2	stress	stress	NOUN
ejpam-5921	365	3	-	-	PUNCT
ejpam-5921	365	4	strength	strength	NOUN
ejpam-5921	365	5	parameter	parameter	NOUN
ejpam-5921	365	6	is	be	AUX
ejpam-5921	365	7	a	a	DET
ejpam-5921	365	8	measure	measure	NOUN
ejpam-5921	365	9	used	use	VERB
ejpam-5921	365	10	in	in	ADP
ejpam-5921	365	11	reliability	reliability	NOUN
ejpam-5921	365	12	engineering	engineering	NOUN
ejpam-5921	365	13	and	and	CCONJ
ejpam-5921	365	14	statistics	statistic	NOUN
ejpam-5921	365	15	to	to	PART
ejpam-5921	365	16	evaluate	evaluate	VERB
ejpam-5921	365	17	the	the	DET
ejpam-5921	365	18	performance	performance	NOUN
ejpam-5921	365	19	and	and	CCONJ
ejpam-5921	365	20	reliability	reliability	NOUN
ejpam-5921	365	21	systems	system	NOUN
ejpam-5921	365	22	under	under	ADP
ejpam-5921	365	23	stress	stress	NOUN
ejpam-5921	365	24	.	.	PUNCT
ejpam-5921	366	1	the	the	DET
ejpam-5921	366	2	variable	variable	NOUN
ejpam-5921	366	3	x	x	PUNCT
ejpam-5921	366	4	represents	represent	VERB
ejpam-5921	366	5	the	the	DET
ejpam-5921	366	6	strength	strength	NOUN
ejpam-5921	366	7	of	of	ADP
ejpam-5921	366	8	a	a	DET
ejpam-5921	366	9	system	system	NOUN
ejpam-5921	366	10	or	or	CCONJ
ejpam-5921	366	11	component	component	NOUN
ejpam-5921	366	12	,	,	PUNCT
ejpam-5921	366	13	while	while	SCONJ
ejpam-5921	366	14	variable	variable	ADJ
ejpam-5921	366	15	x	x	PUNCT
ejpam-5921	366	16	represents	represent	VERB
ejpam-5921	366	17	the	the	DET
ejpam-5921	366	18	applied	apply	VERB
ejpam-5921	366	19	stress	stress	NOUN
ejpam-5921	366	20	.	.	PUNCT
ejpam-5921	367	1	the	the	DET
ejpam-5921	367	2	parameter	parameter	NOUN
ejpam-5921	367	3	p	p	PROPN
ejpam-5921	367	4	(	(	PUNCT
ejpam-5921	367	5	y	y	PROPN
ejpam-5921	367	6	<	<	X
ejpam-5921	367	7	x	x	NOUN
ejpam-5921	367	8	)	)	PUNCT
ejpam-5921	367	9	measures	measure	VERB
ejpam-5921	367	10	the	the	DET
ejpam-5921	367	11	probability	probability	NOUN
ejpam-5921	367	12	that	that	SCONJ
ejpam-5921	367	13	the	the	DET
ejpam-5921	367	14	system	system	NOUN
ejpam-5921	367	15	’s	’s	PART
ejpam-5921	367	16	strength	strength	NOUN
ejpam-5921	367	17	exceeds	exceed	VERB
ejpam-5921	367	18	the	the	DET
ejpam-5921	367	19	applied	apply	VERB
ejpam-5921	367	20	stress	stress	NOUN
ejpam-5921	367	21	,	,	PUNCT
ejpam-5921	367	22	which	which	PRON
ejpam-5921	367	23	is	be	AUX
ejpam-5921	367	24	critical	critical	ADJ
ejpam-5921	367	25	in	in	ADP
ejpam-5921	367	26	assessing	assess	VERB
ejpam-5921	367	27	the	the	DET
ejpam-5921	367	28	reliability	reliability	NOUN
ejpam-5921	367	29	of	of	ADP
ejpam-5921	367	30	materials	material	NOUN
ejpam-5921	367	31	and	and	CCONJ
ejpam-5921	367	32	components	component	NOUN
ejpam-5921	367	33	.	.	PUNCT
ejpam-5921	368	1	theorem	theorem	NOUN
ejpam-5921	368	2	9	9	NUM
ejpam-5921	368	3	.	.	PUNCT
ejpam-5921	369	1	let	let	VERB
ejpam-5921	369	2	(	(	PUNCT
ejpam-5921	369	3	x	x	X
ejpam-5921	369	4	,	,	PUNCT
ejpam-5921	369	5	y	y	PROPN
ejpam-5921	369	6	)	)	PUNCT
ejpam-5921	369	7	be	be	AUX
ejpam-5921	369	8	a	a	DET
ejpam-5921	369	9	bivariate	bivariate	ADJ
ejpam-5921	369	10	random	random	ADJ
ejpam-5921	369	11	vector	vector	NOUN
ejpam-5921	369	12	that	that	PRON
ejpam-5921	369	13	follows	follow	VERB
ejpam-5921	369	14	a	a	DET
ejpam-5921	369	15	ρ	ρ	NUM
ejpam-5921	369	16	bivariate	bivariate	ADJ
ejpam-5921	369	17	extended	extend	VERB
ejpam-5921	369	18	standard	standard	ADJ
ejpam-5921	369	19	u	u	ADJ
ejpam-5921	369	20	-	-	ADJ
ejpam-5921	369	21	quadratic	quadratic	ADJ
ejpam-5921	369	22	distribution	distribution	NOUN
ejpam-5921	369	23	,	,	PUNCT
ejpam-5921	369	24	then	then	ADV
ejpam-5921	369	25	the	the	DET
ejpam-5921	369	26	stress	stress	NOUN
ejpam-5921	369	27	strength	strength	NOUN
ejpam-5921	369	28	parameter	parameter	NOUN
ejpam-5921	369	29	of	of	ADP
ejpam-5921	369	30	x	x	PUNCT
ejpam-5921	369	31	and	and	CCONJ
ejpam-5921	369	32	y	y	PROPN
ejpam-5921	369	33	is	be	AUX
ejpam-5921	369	34	given	give	VERB
ejpam-5921	369	35	by	by	ADP
ejpam-5921	369	36	p	p	PROPN
ejpam-5921	369	37	(	(	PUNCT
ejpam-5921	369	38	y	y	PROPN
ejpam-5921	369	39	<	<	X
ejpam-5921	369	40	x	x	NOUN
ejpam-5921	369	41	)	)	PUNCT
ejpam-5921	369	42	=3	=3	NOUN
ejpam-5921	369	43	(	(	PUNCT
ejpam-5921	369	44	(	(	PUNCT
ejpam-5921	369	45	1	1	NUM
ejpam-5921	369	46	+	+	SYM
ejpam-5921	369	47	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	369	48	1)2	1)2	NUM
ejpam-5921	370	1	+	+	CCONJ
ejpam-5921	370	2	(	(	PUNCT
ejpam-5921	370	3	5−	5−	NUM
ejpam-5921	370	4	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	370	5	1	1	NUM
ejpam-5921	370	6	)	)	PUNCT
ejpam-5921	370	7	+	+	CCONJ
ejpam-5921	370	8	6	6	NUM
ejpam-5921	370	9	(	(	PUNCT
ejpam-5921	370	10	ρ+	ρ+	NUM
ejpam-5921	370	11	2)(ρ+	2)(ρ+	NUM
ejpam-5921	370	12	3)(ρ+	3)(ρ+	NUM
ejpam-5921	370	13	4	4	NUM
ejpam-5921	370	14	)	)	PUNCT
ejpam-5921	370	15	)	)	PUNCT
ejpam-5921	371	1	−	−	PROPN
ejpam-5921	371	2	9	9	NUM
ejpam-5921	371	3	(	(	PUNCT
ejpam-5921	371	4	(	(	PUNCT
ejpam-5921	371	5	1	1	NUM
ejpam-5921	371	6	+	+	NUM
ejpam-5921	371	7	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	371	8	2)2	2)2	NUM
ejpam-5921	371	9	+	+	CCONJ
ejpam-5921	371	10	(	(	PUNCT
ejpam-5921	371	11	5−	5−	NUM
ejpam-5921	371	12	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	371	13	2	2	NUM
ejpam-5921	371	14	)	)	PUNCT
ejpam-5921	371	15	+	+	CCONJ
ejpam-5921	371	16	6	6	NUM
ejpam-5921	371	17	(	(	PUNCT
ejpam-5921	371	18	ρ+	ρ+	NUM
ejpam-5921	371	19	3)(ρ+	3)(ρ+	NUM
ejpam-5921	371	20	4)(ρ+	4)(ρ+	NUM
ejpam-5921	371	21	5	5	NUM
ejpam-5921	371	22	)	)	PUNCT
ejpam-5921	371	23	)	)	PUNCT
ejpam-5921	372	1	+	+	CCONJ
ejpam-5921	372	2	6	6	NUM
ejpam-5921	372	3	(	(	PUNCT
ejpam-5921	372	4	(	(	PUNCT
ejpam-5921	372	5	1	1	NUM
ejpam-5921	372	6	+	+	SYM
ejpam-5921	372	7	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	372	8	3)2	3)2	NUM
ejpam-5921	372	9	+	+	CCONJ
ejpam-5921	372	10	(	(	PUNCT
ejpam-5921	372	11	5−	5−	NUM
ejpam-5921	372	12	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	372	13	3	3	NUM
ejpam-5921	372	14	)	)	PUNCT
ejpam-5921	372	15	+	+	CCONJ
ejpam-5921	372	16	6	6	NUM
ejpam-5921	372	17	(	(	PUNCT
ejpam-5921	372	18	ρ+	ρ+	NUM
ejpam-5921	372	19	4)(ρ+	4)(ρ+	NUM
ejpam-5921	372	20	5)(ρ+	5)(ρ+	NUM
ejpam-5921	372	21	6	6	NUM
ejpam-5921	372	22	)	)	PUNCT
ejpam-5921	372	23	)	)	PUNCT
ejpam-5921	373	1	+	+	CCONJ
ejpam-5921	373	2	5	5	NUM
ejpam-5921	373	3	+	+	NUM
ejpam-5921	373	4	4λ	4λ	NUM
ejpam-5921	373	5	10	10	NUM
ejpam-5921	373	6	,	,	PUNCT
ejpam-5921	373	7	(	(	PUNCT
ejpam-5921	373	8	22	22	NUM
ejpam-5921	373	9	)	)	PUNCT
ejpam-5921	374	1	where	where	SCONJ
ejpam-5921	374	2	ρ	ρ	PROPN
ejpam-5921	374	3	≥	≥	NOUN
ejpam-5921	374	4	0	0	NUM
ejpam-5921	374	5	and	and	CCONJ
ejpam-5921	374	6	λ	λ	PROPN
ejpam-5921	374	7	∈	∈	PROPN
ejpam-5921	375	1	[	[	X
ejpam-5921	375	2	−0.5	−0.5	PROPN
ejpam-5921	375	3	,	,	PUNCT
ejpam-5921	375	4	1	1	NUM
ejpam-5921	375	5	]	]	PUNCT
ejpam-5921	375	6	.	.	PUNCT
ejpam-5921	376	1	i.	i.	PROPN
ejpam-5921	376	2	a.	a.	PROPN
ejpam-5921	376	3	lakibul	lakibul	PROPN
ejpam-5921	376	4	,	,	PUNCT
ejpam-5921	376	5	d.	d.	PROPN
ejpam-5921	376	6	l.	l.	PROPN
ejpam-5921	376	7	polestico	polestico	PROPN
ejpam-5921	376	8	,	,	PUNCT
ejpam-5921	376	9	a.	a.	PROPN
ejpam-5921	376	10	p.	p.	NOUN
ejpam-5921	376	11	supe	supe	PROPN
ejpam-5921	376	12	/	/	SYM
ejpam-5921	376	13	eur	eur	PROPN
ejpam-5921	376	14	.	.	PUNCT
ejpam-5921	377	1	j.	j.	PROPN
ejpam-5921	377	2	pure	pure	PROPN
ejpam-5921	377	3	appl	appl	PROPN
ejpam-5921	377	4	.	.	PROPN
ejpam-5921	377	5	math	math	PROPN
ejpam-5921	377	6	,	,	PUNCT
ejpam-5921	377	7	18	18	NUM
ejpam-5921	377	8	(	(	PUNCT
ejpam-5921	377	9	3	3	NUM
ejpam-5921	377	10	)	)	PUNCT
ejpam-5921	377	11	(	(	PUNCT
ejpam-5921	377	12	2025	2025	NUM
ejpam-5921	377	13	)	)	PUNCT
ejpam-5921	377	14	,	,	PUNCT
ejpam-5921	377	15	5921	5921	NUM
ejpam-5921	377	16	17	17	NUM
ejpam-5921	377	17	of	of	ADP
ejpam-5921	377	18	24	24	NUM
ejpam-5921	377	19	proof	proof	NOUN
ejpam-5921	377	20	.	.	PUNCT
ejpam-5921	378	1	the	the	DET
ejpam-5921	378	2	stress	stress	NOUN
ejpam-5921	378	3	strength	strength	NOUN
ejpam-5921	378	4	parameter	parameter	NOUN
ejpam-5921	378	5	of	of	ADP
ejpam-5921	378	6	random	random	ADJ
ejpam-5921	378	7	variables	variable	NOUN
ejpam-5921	378	8	x	x	PUNCT
ejpam-5921	378	9	and	and	CCONJ
ejpam-5921	378	10	y	y	PROPN
ejpam-5921	378	11	is	be	AUX
ejpam-5921	378	12	defined	define	VERB
ejpam-5921	378	13	by	by	ADP
ejpam-5921	378	14	p(y	p(y	PROPN
ejpam-5921	378	15	<	<	X
ejpam-5921	378	16	x	x	X
ejpam-5921	378	17	)	)	PUNCT
ejpam-5921	379	1	=	=	SYM
ejpam-5921	379	2	∫	∫	PROPN
ejpam-5921	379	3	1	1	NUM
ejpam-5921	379	4	0	0	NUM
ejpam-5921	379	5	∫	∫	PROPN
ejpam-5921	379	6	x	x	SYM
ejpam-5921	379	7	0	0	NUM
ejpam-5921	379	8	f(x	f(x	PROPN
ejpam-5921	379	9	,	,	PUNCT
ejpam-5921	379	10	y)dydx	y)dydx	PROPN
ejpam-5921	380	1	=	=	SYM
ejpam-5921	380	2	∫	∫	PROPN
ejpam-5921	380	3	1	1	NUM
ejpam-5921	380	4	0	0	NUM
ejpam-5921	380	5	∫	∫	PROPN
ejpam-5921	380	6	x	x	SYM
ejpam-5921	380	7	0	0	PUNCT
ejpam-5921	381	1	[	[	PUNCT
ejpam-5921	381	2	1.5−	1.5−	NUM
ejpam-5921	381	3	1.5xρ	1.5xρ	NUM
ejpam-5921	381	4	+	+	CCONJ
ejpam-5921	382	1	3(1.5xρ	3(1.5xρ	NUM
ejpam-5921	382	2	−	−	NOUN
ejpam-5921	382	3	0.5)(2y	0.5)(2y	PRON
ejpam-5921	382	4	−	−	PROPN
ejpam-5921	382	5	1)2	1)2	NUM
ejpam-5921	382	6	]	]	PUNCT
ejpam-5921	383	1	[	[	PUNCT
ejpam-5921	383	2	1−	1−	NUM
ejpam-5921	383	3	λ+	λ+	PUNCT
ejpam-5921	383	4	3λ(2x−	3λ(2x−	NUM
ejpam-5921	383	5	1)2	1)2	NUM
ejpam-5921	383	6	]	]	PUNCT
ejpam-5921	383	7	dydx	dydx	NOUN
ejpam-5921	383	8	=	=	NUM
ejpam-5921	383	9	3e[xρ+1]−	3e[xρ+1]−	NUM
ejpam-5921	383	10	9e[xρ+2	9e[xρ+2	NUM
ejpam-5921	383	11	]	]	PUNCT
ejpam-5921	383	12	+	+	PUNCT
ejpam-5921	383	13	3e[x2	3e[x2	NUM
ejpam-5921	383	14	]	]	X
ejpam-5921	383	15	+	+	CCONJ
ejpam-5921	383	16	6e[xρ+3]−	6e[xρ+3]−	NUM
ejpam-5921	383	17	2e[x3	2e[x3	NUM
ejpam-5921	383	18	]	]	PUNCT
ejpam-5921	384	1	=3	=3	PROPN
ejpam-5921	384	2	(	(	PUNCT
ejpam-5921	384	3	(	(	PUNCT
ejpam-5921	384	4	1	1	NUM
ejpam-5921	384	5	+	+	SYM
ejpam-5921	384	6	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	384	7	1)2	1)2	NUM
ejpam-5921	384	8	+	+	CCONJ
ejpam-5921	384	9	(	(	PUNCT
ejpam-5921	384	10	5−	5−	NUM
ejpam-5921	384	11	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	384	12	1	1	NUM
ejpam-5921	384	13	)	)	PUNCT
ejpam-5921	384	14	+	+	CCONJ
ejpam-5921	384	15	6	6	NUM
ejpam-5921	384	16	(	(	PUNCT
ejpam-5921	384	17	ρ+	ρ+	NUM
ejpam-5921	384	18	2)(ρ+	2)(ρ+	NUM
ejpam-5921	384	19	3)(ρ+	3)(ρ+	NUM
ejpam-5921	384	20	4	4	NUM
ejpam-5921	384	21	)	)	PUNCT
ejpam-5921	384	22	)	)	PUNCT
ejpam-5921	385	1	−	−	PROPN
ejpam-5921	385	2	9	9	NUM
ejpam-5921	385	3	(	(	PUNCT
ejpam-5921	385	4	(	(	PUNCT
ejpam-5921	385	5	1	1	NUM
ejpam-5921	385	6	+	+	NUM
ejpam-5921	385	7	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	385	8	2)2	2)2	NUM
ejpam-5921	385	9	+	+	CCONJ
ejpam-5921	385	10	(	(	PUNCT
ejpam-5921	385	11	5−	5−	NUM
ejpam-5921	385	12	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	385	13	2	2	NUM
ejpam-5921	385	14	)	)	PUNCT
ejpam-5921	385	15	+	+	CCONJ
ejpam-5921	385	16	6	6	NUM
ejpam-5921	385	17	(	(	PUNCT
ejpam-5921	385	18	ρ+	ρ+	NUM
ejpam-5921	385	19	3)(ρ+	3)(ρ+	NUM
ejpam-5921	385	20	4)(ρ+	4)(ρ+	NUM
ejpam-5921	385	21	5	5	NUM
ejpam-5921	385	22	)	)	PUNCT
ejpam-5921	385	23	)	)	PUNCT
ejpam-5921	386	1	+	+	CCONJ
ejpam-5921	386	2	6	6	NUM
ejpam-5921	386	3	(	(	PUNCT
ejpam-5921	386	4	(	(	PUNCT
ejpam-5921	386	5	1	1	NUM
ejpam-5921	386	6	+	+	SYM
ejpam-5921	386	7	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	386	8	3)2	3)2	NUM
ejpam-5921	386	9	+	+	CCONJ
ejpam-5921	386	10	(	(	PUNCT
ejpam-5921	386	11	5−	5−	NUM
ejpam-5921	386	12	2λ)(ρ+	2λ)(ρ+	NUM
ejpam-5921	386	13	3	3	NUM
ejpam-5921	386	14	)	)	PUNCT
ejpam-5921	386	15	+	+	CCONJ
ejpam-5921	386	16	6	6	NUM
ejpam-5921	386	17	(	(	PUNCT
ejpam-5921	386	18	ρ+	ρ+	NUM
ejpam-5921	386	19	4)(ρ+	4)(ρ+	NUM
ejpam-5921	386	20	5)(ρ+	5)(ρ+	NUM
ejpam-5921	386	21	6	6	NUM
ejpam-5921	386	22	)	)	PUNCT
ejpam-5921	386	23	)	)	PUNCT
ejpam-5921	387	1	+	+	CCONJ
ejpam-5921	387	2	5	5	NUM
ejpam-5921	387	3	+	+	NUM
ejpam-5921	387	4	4λ	4λ	NUM
ejpam-5921	387	5	10	10	NUM
ejpam-5921	387	6	,	,	PUNCT
ejpam-5921	387	7	where	where	SCONJ
ejpam-5921	387	8	ρ	ρ	PROPN
ejpam-5921	387	9	≥	≥	NOUN
ejpam-5921	387	10	0	0	NUM
ejpam-5921	387	11	and	and	CCONJ
ejpam-5921	387	12	λ	λ	PROPN
ejpam-5921	387	13	∈	∈	PROPN
ejpam-5921	388	1	[	[	X
ejpam-5921	388	2	−0.5	−0.5	PROPN
ejpam-5921	388	3	,	,	PUNCT
ejpam-5921	388	4	1	1	NUM
ejpam-5921	388	5	]	]	PUNCT
ejpam-5921	388	6	.	.	PUNCT
ejpam-5921	389	1	4	4	X
ejpam-5921	389	2	.	.	X
ejpam-5921	389	3	maximum	maximum	ADJ
ejpam-5921	389	4	likelihood	likelihood	NOUN
ejpam-5921	389	5	estimation	estimation	NOUN
ejpam-5921	389	6	let	let	VERB
ejpam-5921	389	7	(	(	PUNCT
ejpam-5921	389	8	x1	x1	ADJ
ejpam-5921	389	9	,	,	PUNCT
ejpam-5921	389	10	y1),(x2	y1),(x2	PROPN
ejpam-5921	389	11	,	,	PUNCT
ejpam-5921	389	12	y2),	y2),	PROPN
ejpam-5921	389	13	...	...	PUNCT
ejpam-5921	389	14	,(xn	,(xn	PUNCT
ejpam-5921	389	15	,	,	PUNCT
ejpam-5921	389	16	yn	yn	PROPN
ejpam-5921	389	17	)	)	PUNCT
ejpam-5921	389	18	be	be	VERB
ejpam-5921	389	19	a	a	DET
ejpam-5921	389	20	random	random	ADJ
ejpam-5921	389	21	sample	sample	NOUN
ejpam-5921	389	22	of	of	ADP
ejpam-5921	389	23	size	size	NOUN
ejpam-5921	389	24	n	n	CCONJ
ejpam-5921	389	25	from	from	ADP
ejpam-5921	389	26	a	a	DET
ejpam-5921	389	27	ρ	ρ	NUM
ejpam-5921	389	28	bivariate	bivariate	ADJ
ejpam-5921	389	29	extended	extend	VERB
ejpam-5921	389	30	standard	standard	ADJ
ejpam-5921	389	31	u	u	NOUN
ejpam-5921	389	32	-	-	NOUN
ejpam-5921	389	33	quadratic	quadratic	ADJ
ejpam-5921	389	34	(	(	PUNCT
ejpam-5921	389	35	ρ	ρ	PROPN
ejpam-5921	389	36	besu	besu	ADJ
ejpam-5921	389	37	)	)	PUNCT
ejpam-5921	389	38	distribution	distribution	NOUN
ejpam-5921	389	39	.	.	PUNCT
ejpam-5921	390	1	then	then	ADV
ejpam-5921	390	2	the	the	DET
ejpam-5921	390	3	likelihood	likelihood	NOUN
ejpam-5921	390	4	function	function	NOUN
ejpam-5921	390	5	is	be	AUX
ejpam-5921	390	6	defined	define	VERB
ejpam-5921	390	7	by	by	ADP
ejpam-5921	390	8	l	l	NOUN
ejpam-5921	390	9	=	=	PUNCT
ejpam-5921	390	10	n∏	n∏	PROPN
ejpam-5921	390	11	i	i	PRON
ejpam-5921	390	12	[	[	PUNCT
ejpam-5921	390	13	1.5−	1.5−	NUM
ejpam-5921	390	14	1.5xρi	1.5xρi	NUM
ejpam-5921	390	15	+	+	CCONJ
ejpam-5921	390	16	3(1.5xρi	3(1.5xρi	NUM
ejpam-5921	390	17	−	−	NOUN
ejpam-5921	390	18	0.5)(2yi	0.5)(2yi	PRON
ejpam-5921	391	1	−	−	PROPN
ejpam-5921	391	2	1)2	1)2	NUM
ejpam-5921	391	3	]	]	PUNCT
ejpam-5921	392	1	[	[	PUNCT
ejpam-5921	392	2	1−	1−	NUM
ejpam-5921	392	3	λ+	λ+	PUNCT
ejpam-5921	392	4	3λ(2xi	3λ(2xi	NUM
ejpam-5921	392	5	−	−	PROPN
ejpam-5921	392	6	1)2	1)2	NUM
ejpam-5921	392	7	]	]	PUNCT
ejpam-5921	392	8	,	,	PUNCT
ejpam-5921	392	9	with	with	ADP
ejpam-5921	392	10	its	its	PRON
ejpam-5921	392	11	log	log	NOUN
ejpam-5921	392	12	-	-	PUNCT
ejpam-5921	392	13	likelihood	likelihood	NOUN
ejpam-5921	392	14	function	function	NOUN
ejpam-5921	392	15	is	be	AUX
ejpam-5921	392	16	given	give	VERB
ejpam-5921	392	17	by	by	ADP
ejpam-5921	392	18	logl	logl	NOUN
ejpam-5921	392	19	=	=	SYM
ejpam-5921	392	20	n∑	n∑	NOUN
ejpam-5921	393	1	i	i	PRON
ejpam-5921	393	2	log	log	VERB
ejpam-5921	393	3	[	[	PUNCT
ejpam-5921	393	4	1.5−	1.5−	NUM
ejpam-5921	393	5	1.5xρi	1.5xρi	NUM
ejpam-5921	394	1	+	+	CCONJ
ejpam-5921	394	2	3(1.5xρi	3(1.5xρi	NUM
ejpam-5921	394	3	−	−	NOUN
ejpam-5921	394	4	0.5)(2yi	0.5)(2yi	PRON
ejpam-5921	395	1	−	−	PROPN
ejpam-5921	395	2	1)2	1)2	NUM
ejpam-5921	395	3	]	]	PUNCT
ejpam-5921	396	1	+	+	CCONJ
ejpam-5921	396	2	n∑	n∑	INTJ
ejpam-5921	396	3	i	i	PRON
ejpam-5921	396	4	log	log	VERB
ejpam-5921	396	5	[	[	PUNCT
ejpam-5921	396	6	1−	1−	NUM
ejpam-5921	396	7	λ+	λ+	PUNCT
ejpam-5921	396	8	3λ(2xi	3λ(2xi	NUM
ejpam-5921	396	9	−	−	PROPN
ejpam-5921	396	10	1)2	1)2	NUM
ejpam-5921	396	11	]	]	PUNCT
ejpam-5921	396	12	.	.	PUNCT
ejpam-5921	397	1	the	the	DET
ejpam-5921	397	2	partial	partial	ADJ
ejpam-5921	397	3	derivative	derivative	NOUN
ejpam-5921	397	4	of	of	ADP
ejpam-5921	397	5	logl	logl	NOUN
ejpam-5921	397	6	with	with	ADP
ejpam-5921	397	7	respect	respect	NOUN
ejpam-5921	397	8	to	to	ADP
ejpam-5921	397	9	the	the	DET
ejpam-5921	397	10	parameters	parameter	NOUN
ejpam-5921	397	11	λ	λ	PROPN
ejpam-5921	397	12	and	and	CCONJ
ejpam-5921	397	13	ρ	ρ	PROPN
ejpam-5921	397	14	are	be	AUX
ejpam-5921	397	15	respectively	respectively	ADV
ejpam-5921	397	16	,	,	PUNCT
ejpam-5921	397	17	given	give	VERB
ejpam-5921	397	18	by	by	ADP
ejpam-5921	397	19	∂	∂	NUM
ejpam-5921	397	20	logl	logl	NOUN
ejpam-5921	397	21	∂λ	∂λ	PROPN
ejpam-5921	397	22	=	=	SYM
ejpam-5921	397	23	n∑	n∑	PROPN
ejpam-5921	397	24	i	i	VERB
ejpam-5921	398	1	3(2xi	3(2xi	NUM
ejpam-5921	398	2	−	−	NOUN
ejpam-5921	399	1	1)2	1)2	NUM
ejpam-5921	399	2	−	−	NOUN
ejpam-5921	399	3	1	1	NUM
ejpam-5921	399	4	1−	1−	NUM
ejpam-5921	399	5	λ+	λ+	PUNCT
ejpam-5921	399	6	3λ(2xi	3λ(2xi	NUM
ejpam-5921	399	7	−	−	PROPN
ejpam-5921	399	8	1)2	1)2	NUM
ejpam-5921	399	9	,	,	PUNCT
ejpam-5921	399	10	and	and	CCONJ
ejpam-5921	399	11	∂	∂	NUM
ejpam-5921	399	12	logl	logl	NOUN
ejpam-5921	399	13	∂ρ	∂ρ	NOUN
ejpam-5921	399	14	=	=	PUNCT
ejpam-5921	399	15	n∑	n∑	NOUN
ejpam-5921	399	16	i	i	PRON
ejpam-5921	400	1	4.5xρi	4.5xρi	NUM
ejpam-5921	400	2	log	log	NOUN
ejpam-5921	400	3	xi	xi	ADP
ejpam-5921	400	4	−	−	PROPN
ejpam-5921	400	5	1.5xρi	1.5xρi	NUM
ejpam-5921	400	6	log	log	NOUN
ejpam-5921	400	7	xi(2yi	xi(2yi	NOUN
ejpam-5921	401	1	−	−	PROPN
ejpam-5921	401	2	1)2	1)2	NUM
ejpam-5921	401	3	1.5−	1.5−	NUM
ejpam-5921	401	4	1.5xρi	1.5xρi	NUM
ejpam-5921	401	5	+	+	CCONJ
ejpam-5921	401	6	3(1.5xρi	3(1.5xρi	NUM
ejpam-5921	401	7	−	−	NOUN
ejpam-5921	402	1	0.5)(2yi	0.5)(2yi	PRON
ejpam-5921	403	1	−	−	PROPN
ejpam-5921	403	2	1)2	1)2	NUM
ejpam-5921	403	3	.	.	PUNCT
ejpam-5921	404	1	i.	i.	PROPN
ejpam-5921	404	2	a.	a.	PROPN
ejpam-5921	404	3	lakibul	lakibul	PROPN
ejpam-5921	404	4	,	,	PUNCT
ejpam-5921	404	5	d.	d.	PROPN
ejpam-5921	404	6	l.	l.	PROPN
ejpam-5921	404	7	polestico	polestico	PROPN
ejpam-5921	404	8	,	,	PUNCT
ejpam-5921	404	9	a.	a.	PROPN
ejpam-5921	404	10	p.	p.	NOUN
ejpam-5921	404	11	supe	supe	PROPN
ejpam-5921	404	12	/	/	SYM
ejpam-5921	404	13	eur	eur	PROPN
ejpam-5921	404	14	.	.	PUNCT
ejpam-5921	405	1	j.	j.	PROPN
ejpam-5921	405	2	pure	pure	PROPN
ejpam-5921	405	3	appl	appl	PROPN
ejpam-5921	405	4	.	.	PROPN
ejpam-5921	405	5	math	math	PROPN
ejpam-5921	405	6	,	,	PUNCT
ejpam-5921	405	7	18	18	NUM
ejpam-5921	405	8	(	(	PUNCT
ejpam-5921	405	9	3	3	NUM
ejpam-5921	405	10	)	)	PUNCT
ejpam-5921	405	11	(	(	PUNCT
ejpam-5921	405	12	2025	2025	NUM
ejpam-5921	405	13	)	)	PUNCT
ejpam-5921	405	14	,	,	PUNCT
ejpam-5921	405	15	5921	5921	NUM
ejpam-5921	405	16	18	18	NUM
ejpam-5921	405	17	of	of	ADP
ejpam-5921	405	18	24	24	NUM
ejpam-5921	405	19	the	the	DET
ejpam-5921	405	20	maximum	maximum	ADJ
ejpam-5921	405	21	likelihood	likelihood	NOUN
ejpam-5921	405	22	estimates	estimate	NOUN
ejpam-5921	405	23	of	of	ADP
ejpam-5921	405	24	the	the	DET
ejpam-5921	405	25	parameters	parameter	NOUN
ejpam-5921	405	26	λ	λ	PROPN
ejpam-5921	405	27	and	and	CCONJ
ejpam-5921	405	28	ρ	ρ	PROPN
ejpam-5921	405	29	of	of	ADP
ejpam-5921	405	30	the	the	DET
ejpam-5921	405	31	besu	besu	NOUN
ejpam-5921	405	32	distribution	distribution	NOUN
ejpam-5921	405	33	are	be	AUX
ejpam-5921	405	34	computed	compute	VERB
ejpam-5921	405	35	by	by	ADP
ejpam-5921	405	36	solving	solve	VERB
ejpam-5921	405	37	the	the	DET
ejpam-5921	405	38	following	follow	VERB
ejpam-5921	405	39	system	system	NOUN
ejpam-5921	405	40	of	of	ADP
ejpam-5921	405	41	non	non	ADJ
ejpam-5921	405	42	-	-	ADJ
ejpam-5921	405	43	linear	linear	ADJ
ejpam-5921	405	44	equations	equation	NOUN
ejpam-5921	405	45	:	:	PUNCT
ejpam-5921	406	1	n∑	n∑	NOUN
ejpam-5921	406	2	i	i	VERB
ejpam-5921	407	1	3(2xi	3(2xi	NUM
ejpam-5921	407	2	−	−	NOUN
ejpam-5921	408	1	1)2	1)2	NUM
ejpam-5921	408	2	−	−	NOUN
ejpam-5921	408	3	1	1	NUM
ejpam-5921	408	4	1−	1−	NUM
ejpam-5921	408	5	λ+	λ+	PUNCT
ejpam-5921	408	6	3λ(2xi	3λ(2xi	NUM
ejpam-5921	408	7	−	−	PROPN
ejpam-5921	408	8	1)2	1)2	NUM
ejpam-5921	408	9	=	=	SYM
ejpam-5921	408	10	0	0	NUM
ejpam-5921	408	11	,	,	PUNCT
ejpam-5921	408	12	and	and	CCONJ
ejpam-5921	408	13	n∑	n∑	NOUN
ejpam-5921	409	1	i	i	PRON
ejpam-5921	409	2	4.5xρi	4.5xρi	NUM
ejpam-5921	409	3	log	log	NOUN
ejpam-5921	409	4	xi	xi	ADP
ejpam-5921	409	5	−	−	PROPN
ejpam-5921	409	6	1.5xρi	1.5xρi	NUM
ejpam-5921	409	7	log	log	NOUN
ejpam-5921	409	8	xi(2yi	xi(2yi	NOUN
ejpam-5921	410	1	−	−	PROPN
ejpam-5921	410	2	1)2	1)2	NUM
ejpam-5921	410	3	1.5−	1.5−	NUM
ejpam-5921	410	4	1.5xρi	1.5xρi	NUM
ejpam-5921	410	5	+	+	CCONJ
ejpam-5921	410	6	3(1.5xρi	3(1.5xρi	NUM
ejpam-5921	410	7	−	−	NOUN
ejpam-5921	411	1	0.5)(2yi	0.5)(2yi	PRON
ejpam-5921	412	1	−	−	PROPN
ejpam-5921	412	2	1)2	1)2	NUM
ejpam-5921	412	3	=	=	SYM
ejpam-5921	412	4	0	0	NUM
ejpam-5921	412	5	.	.	NOUN
ejpam-5921	412	6	5	5	NUM
ejpam-5921	412	7	.	.	X
ejpam-5921	412	8	random	random	ADJ
ejpam-5921	412	9	number	number	NOUN
ejpam-5921	412	10	generation	generation	NOUN
ejpam-5921	412	11	this	this	DET
ejpam-5921	412	12	section	section	NOUN
ejpam-5921	412	13	presents	present	VERB
ejpam-5921	412	14	the	the	DET
ejpam-5921	412	15	algorithm	algorithm	NOUN
ejpam-5921	412	16	for	for	ADP
ejpam-5921	412	17	the	the	DET
ejpam-5921	412	18	generation	generation	NOUN
ejpam-5921	412	19	of	of	ADP
ejpam-5921	412	20	bivariate	bivariate	ADJ
ejpam-5921	412	21	random	random	ADJ
ejpam-5921	412	22	numbers	number	NOUN
ejpam-5921	412	23	from	from	ADP
ejpam-5921	412	24	the	the	DET
ejpam-5921	412	25	ρ	ρ	NOUN
ejpam-5921	412	26	bivariate	bivariate	ADJ
ejpam-5921	412	27	extended	extend	VERB
ejpam-5921	412	28	standard	standard	ADJ
ejpam-5921	412	29	u	u	NOUN
ejpam-5921	412	30	-	-	NOUN
ejpam-5921	412	31	quadratic	quadratic	ADJ
ejpam-5921	412	32	(	(	PUNCT
ejpam-5921	412	33	ρ	ρ	PROPN
ejpam-5921	412	34	besu	besu	ADJ
ejpam-5921	412	35	)	)	PUNCT
ejpam-5921	412	36	distribution	distribution	NOUN
ejpam-5921	412	37	.	.	PUNCT
ejpam-5921	413	1	let	let	VERB
ejpam-5921	413	2	us	we	PRON
ejpam-5921	413	3	first	first	ADV
ejpam-5921	413	4	consider	consider	VERB
ejpam-5921	413	5	the	the	DET
ejpam-5921	413	6	random	random	ADJ
ejpam-5921	413	7	number	number	NOUN
ejpam-5921	413	8	generation	generation	NOUN
ejpam-5921	413	9	from	from	ADP
ejpam-5921	413	10	the	the	DET
ejpam-5921	413	11	t	t	PROPN
ejpam-5921	413	12	-	-	PUNCT
ejpam-5921	413	13	extended	extend	VERB
ejpam-5921	413	14	standard	standard	ADJ
ejpam-5921	413	15	u	u	NOUN
ejpam-5921	413	16	-	-	NOUN
ejpam-5921	413	17	quadratic	quadratic	ADJ
ejpam-5921	413	18	(	(	PUNCT
ejpam-5921	413	19	tesu)-g	tesu)-g	PROPN
ejpam-5921	413	20	family	family	NOUN
ejpam-5921	413	21	of	of	ADP
ejpam-5921	413	22	distributions	distribution	NOUN
ejpam-5921	413	23	.	.	PUNCT
ejpam-5921	414	1	to	to	PART
ejpam-5921	414	2	generate	generate	VERB
ejpam-5921	414	3	random	random	ADJ
ejpam-5921	414	4	samples	sample	NOUN
ejpam-5921	414	5	from	from	ADP
ejpam-5921	414	6	tesu	tesu	ADJ
ejpam-5921	414	7	-	-	PUNCT
ejpam-5921	414	8	g	g	NOUN
ejpam-5921	414	9	family	family	NOUN
ejpam-5921	414	10	of	of	ADP
ejpam-5921	414	11	distributions	distribution	NOUN
ejpam-5921	414	12	,	,	PUNCT
ejpam-5921	414	13	we	we	PRON
ejpam-5921	414	14	follow	follow	VERB
ejpam-5921	414	15	the	the	DET
ejpam-5921	414	16	algorithm	algorithm	NOUN
ejpam-5921	414	17	proposed	propose	VERB
ejpam-5921	414	18	by	by	ADP
ejpam-5921	414	19	lakibul	lakibul	PROPN
ejpam-5921	414	20	and	and	CCONJ
ejpam-5921	414	21	tubo	tubo	VERB
ejpam-5921	414	22	[	[	X
ejpam-5921	414	23	8	8	NUM
ejpam-5921	414	24	]	]	PUNCT
ejpam-5921	414	25	.	.	PUNCT
ejpam-5921	415	1	the	the	DET
ejpam-5921	415	2	cumulative	cumulative	ADJ
ejpam-5921	415	3	distribution	distribution	NOUN
ejpam-5921	415	4	function	function	NOUN
ejpam-5921	415	5	of	of	ADP
ejpam-5921	415	6	the	the	DET
ejpam-5921	415	7	tesu	tesu	PROPN
ejpam-5921	415	8	-	-	PUNCT
ejpam-5921	415	9	g	g	NOUN
ejpam-5921	415	10	family	family	NOUN
ejpam-5921	415	11	is	be	AUX
ejpam-5921	415	12	given	give	VERB
ejpam-5921	415	13	by	by	ADP
ejpam-5921	415	14	f	f	PROPN
ejpam-5921	415	15	(	(	PUNCT
ejpam-5921	415	16	x	x	NOUN
ejpam-5921	415	17	)	)	PUNCT
ejpam-5921	415	18	=	=	SYM
ejpam-5921	415	19	(	(	PUNCT
ejpam-5921	416	1	1	1	NUM
ejpam-5921	416	2	+	+	NUM
ejpam-5921	416	3	2λ)g(x)−	2λ)g(x)−	NUM
ejpam-5921	416	4	6λ(g(x))2	6λ(g(x))2	NOUN
ejpam-5921	416	5	+	+	CCONJ
ejpam-5921	416	6	4λ(g(x))3	4λ(g(x))3	NUM
ejpam-5921	416	7	,	,	PUNCT
ejpam-5921	416	8	(	(	PUNCT
ejpam-5921	416	9	23	23	NUM
ejpam-5921	416	10	)	)	PUNCT
ejpam-5921	416	11	where	where	SCONJ
ejpam-5921	416	12	λ	λ	PROPN
ejpam-5921	416	13	∈	∈	PROPN
ejpam-5921	417	1	[	[	X
ejpam-5921	417	2	−0.5	−0.5	PROPN
ejpam-5921	417	3	,	,	PUNCT
ejpam-5921	417	4	1	1	NUM
ejpam-5921	417	5	]	]	PUNCT
ejpam-5921	417	6	and	and	CCONJ
ejpam-5921	417	7	g(x	g(x	NOUN
ejpam-5921	417	8	)	)	PUNCT
ejpam-5921	417	9	is	be	AUX
ejpam-5921	417	10	any	any	DET
ejpam-5921	417	11	baseline	baseline	ADJ
ejpam-5921	417	12	cumulative	cumulative	ADJ
ejpam-5921	417	13	distribution	distribution	NOUN
ejpam-5921	417	14	function	function	NOUN
ejpam-5921	417	15	.	.	PUNCT
ejpam-5921	418	1	due	due	ADP
ejpam-5921	418	2	to	to	ADP
ejpam-5921	418	3	the	the	DET
ejpam-5921	418	4	nonlinear	nonlinear	ADJ
ejpam-5921	418	5	nature	nature	NOUN
ejpam-5921	418	6	of	of	ADP
ejpam-5921	418	7	the	the	DET
ejpam-5921	418	8	cdf	cdf	NOUN
ejpam-5921	418	9	,	,	PUNCT
ejpam-5921	418	10	it	it	PRON
ejpam-5921	418	11	is	be	AUX
ejpam-5921	418	12	not	not	PART
ejpam-5921	418	13	possible	possible	ADJ
ejpam-5921	418	14	to	to	PART
ejpam-5921	418	15	obtain	obtain	VERB
ejpam-5921	418	16	a	a	DET
ejpam-5921	418	17	simple	simple	ADJ
ejpam-5921	418	18	closed	closed	ADJ
ejpam-5921	418	19	-	-	PUNCT
ejpam-5921	418	20	form	form	NOUN
ejpam-5921	418	21	expression	expression	NOUN
ejpam-5921	418	22	for	for	ADP
ejpam-5921	418	23	its	its	PRON
ejpam-5921	418	24	inverse	inverse	NOUN
ejpam-5921	418	25	.	.	PUNCT
ejpam-5921	419	1	therefore	therefore	ADV
ejpam-5921	419	2	,	,	PUNCT
ejpam-5921	419	3	a	a	DET
ejpam-5921	419	4	numerical	numerical	ADJ
ejpam-5921	419	5	algorithm	algorithm	NOUN
ejpam-5921	419	6	is	be	AUX
ejpam-5921	419	7	employed	employ	VERB
ejpam-5921	419	8	to	to	PART
ejpam-5921	419	9	approximate	approximate	VERB
ejpam-5921	419	10	the	the	DET
ejpam-5921	419	11	inverse	inverse	NOUN
ejpam-5921	419	12	cdf	cdf	PROPN
ejpam-5921	419	13	,	,	PUNCT
ejpam-5921	419	14	enabling	enable	VERB
ejpam-5921	419	15	efficient	efficient	ADJ
ejpam-5921	419	16	random	random	ADJ
ejpam-5921	419	17	number	number	NOUN
ejpam-5921	419	18	generation	generation	NOUN
ejpam-5921	419	19	.	.	PUNCT
ejpam-5921	420	1	the	the	DET
ejpam-5921	420	2	algorithm	algorithm	NOUN
ejpam-5921	420	3	to	to	PART
ejpam-5921	420	4	generate	generate	VERB
ejpam-5921	420	5	random	random	ADJ
ejpam-5921	420	6	numbers	number	NOUN
ejpam-5921	420	7	from	from	ADP
ejpam-5921	420	8	tesu	tesu	NOUN
ejpam-5921	420	9	-	-	PUNCT
ejpam-5921	420	10	g	g	NOUN
ejpam-5921	420	11	family	family	NOUN
ejpam-5921	420	12	is	be	AUX
ejpam-5921	420	13	given	give	VERB
ejpam-5921	420	14	as	as	SCONJ
ejpam-5921	420	15	follows	follow	VERB
ejpam-5921	420	16	.	.	PUNCT
ejpam-5921	421	1	let	let	VERB
ejpam-5921	421	2	v	v	PART
ejpam-5921	421	3	follow	follow	VERB
ejpam-5921	421	4	a	a	DET
ejpam-5921	421	5	uniform	uniform	ADJ
ejpam-5921	421	6	distribution	distribution	NOUN
ejpam-5921	421	7	(	(	PUNCT
ejpam-5921	421	8	0	0	NUM
ejpam-5921	421	9	,	,	PUNCT
ejpam-5921	421	10	1	1	NUM
ejpam-5921	421	11	)	)	PUNCT
ejpam-5921	421	12	.	.	PUNCT
ejpam-5921	422	1	step	step	NOUN
ejpam-5921	422	2	1	1	NUM
ejpam-5921	422	3	.	.	PUNCT
ejpam-5921	423	1	compute	compute	PROPN
ejpam-5921	423	2	q	q	NOUN
ejpam-5921	424	1	=	=	NOUN
ejpam-5921	424	2	1	1	NUM
ejpam-5921	424	3	2	2	NUM
ejpam-5921	424	4	(	(	PUNCT
ejpam-5921	424	5	1−	1−	NUM
ejpam-5921	424	6	1	1	NUM
ejpam-5921	424	7	λ	λ	NOUN
ejpam-5921	424	8	)	)	PUNCT
ejpam-5921	424	9	,	,	PUNCT
ejpam-5921	424	10	λ	λ	X
ejpam-5921	424	11	̸=	̸=	PROPN
ejpam-5921	424	12	0	0	NUM
ejpam-5921	424	13	;	;	PUNCT
ejpam-5921	424	14	r	r	NOUN
ejpam-5921	424	15	=	=	SYM
ejpam-5921	424	16	1−	1−	NUM
ejpam-5921	424	17	2v	2v	PROPN
ejpam-5921	424	18	16λ	16λ	PROPN
ejpam-5921	424	19	.	.	PUNCT
ejpam-5921	425	1	step	step	NOUN
ejpam-5921	425	2	2	2	NUM
ejpam-5921	425	3	.	.	PUNCT
ejpam-5921	426	1	if	if	SCONJ
ejpam-5921	426	2	r2	r2	PROPN
ejpam-5921	426	3	>	>	X
ejpam-5921	426	4	q3	q3	PROPN
ejpam-5921	426	5	,	,	PUNCT
ejpam-5921	426	6	then	then	ADV
ejpam-5921	426	7	compute	compute	VERB
ejpam-5921	426	8	a	a	DET
ejpam-5921	426	9	=	=	SYM
ejpam-5921	426	10	−sign(r	−sign(r	NUM
ejpam-5921	426	11	)	)	PUNCT
ejpam-5921	426	12	(	(	PUNCT
ejpam-5921	426	13	|r|+	|r|+	NOUN
ejpam-5921	426	14	√	√	PROPN
ejpam-5921	426	15	r2	r2	PROPN
ejpam-5921	426	16	−q3	−q3	PROPN
ejpam-5921	426	17	)	)	PUNCT
ejpam-5921	426	18	1	1	NUM
ejpam-5921	426	19	3	3	NUM
ejpam-5921	426	20	;	;	PUNCT
ejpam-5921	426	21	b	b	X
ejpam-5921	426	22	=	=	SYM
ejpam-5921	426	23	a	a	PROPN
ejpam-5921	426	24	,	,	PUNCT
ejpam-5921	426	25	ifa	ifa	PROPN
ejpam-5921	426	26	=	=	PUNCT
ejpam-5921	426	27	0	0	PROPN
ejpam-5921	427	1	q	q	PROPN
ejpam-5921	428	1	a	a	INTJ
ejpam-5921	428	2	,	,	PUNCT
ejpam-5921	428	3	otherwise	otherwise	ADV
ejpam-5921	428	4	;	;	PUNCT
ejpam-5921	428	5	x	x	X
ejpam-5921	428	6	=	=	SYM
ejpam-5921	428	7	g−1	g−1	X
ejpam-5921	428	8	(	(	PUNCT
ejpam-5921	428	9	a+b	a+b	X
ejpam-5921	428	10	+	+	CCONJ
ejpam-5921	428	11	1	1	NUM
ejpam-5921	428	12	2	2	NUM
ejpam-5921	428	13	)	)	PUNCT
ejpam-5921	428	14	.	.	PUNCT
ejpam-5921	429	1	i.	i.	PROPN
ejpam-5921	429	2	a.	a.	PROPN
ejpam-5921	429	3	lakibul	lakibul	PROPN
ejpam-5921	429	4	,	,	PUNCT
ejpam-5921	429	5	d.	d.	PROPN
ejpam-5921	429	6	l.	l.	PROPN
ejpam-5921	429	7	polestico	polestico	PROPN
ejpam-5921	429	8	,	,	PUNCT
ejpam-5921	429	9	a.	a.	PROPN
ejpam-5921	429	10	p.	p.	NOUN
ejpam-5921	429	11	supe	supe	PROPN
ejpam-5921	429	12	/	/	SYM
ejpam-5921	429	13	eur	eur	PROPN
ejpam-5921	429	14	.	.	PUNCT
ejpam-5921	430	1	j.	j.	PROPN
ejpam-5921	430	2	pure	pure	PROPN
ejpam-5921	430	3	appl	appl	PROPN
ejpam-5921	430	4	.	.	PROPN
ejpam-5921	430	5	math	math	PROPN
ejpam-5921	430	6	,	,	PUNCT
ejpam-5921	430	7	18	18	NUM
ejpam-5921	430	8	(	(	PUNCT
ejpam-5921	430	9	3	3	NUM
ejpam-5921	430	10	)	)	PUNCT
ejpam-5921	430	11	(	(	PUNCT
ejpam-5921	430	12	2025	2025	NUM
ejpam-5921	430	13	)	)	PUNCT
ejpam-5921	430	14	,	,	PUNCT
ejpam-5921	430	15	5921	5921	NUM
ejpam-5921	430	16	19	19	NUM
ejpam-5921	430	17	of	of	ADP
ejpam-5921	430	18	24	24	NUM
ejpam-5921	430	19	otherwise	otherwise	ADV
ejpam-5921	430	20	,	,	PUNCT
ejpam-5921	430	21	θ	θ	PROPN
ejpam-5921	430	22	=	=	SYM
ejpam-5921	430	23	arccos	arcco	NOUN
ejpam-5921	430	24	(	(	PUNCT
ejpam-5921	430	25	r√	r√	NOUN
ejpam-5921	430	26	q3	q3	PROPN
ejpam-5921	430	27	)	)	PUNCT
ejpam-5921	430	28	;	;	PUNCT
ejpam-5921	431	1	x	x	X
ejpam-5921	431	2	=	=	SYM
ejpam-5921	431	3	g−1	g−1	X
ejpam-5921	431	4	(	(	PUNCT
ejpam-5921	431	5	1	1	NUM
ejpam-5921	431	6	2	2	NUM
ejpam-5921	431	7	−	−	NUM
ejpam-5921	431	8	2	2	NUM
ejpam-5921	431	9	√	√	PROPN
ejpam-5921	431	10	q	q	PROPN
ejpam-5921	431	11	cos	cos	PROPN
ejpam-5921	431	12	(	(	PUNCT
ejpam-5921	431	13	θ	θ	PROPN
ejpam-5921	431	14	−	−	PROPN
ejpam-5921	431	15	2π	2π	PROPN
ejpam-5921	431	16	3	3	NUM
ejpam-5921	431	17	)	)	PUNCT
ejpam-5921	431	18	)	)	PUNCT
ejpam-5921	431	19	,	,	PUNCT
ejpam-5921	431	20	where	where	SCONJ
ejpam-5921	431	21	g−1(x	g−1(x	NOUN
ejpam-5921	431	22	)	)	PUNCT
ejpam-5921	431	23	is	be	AUX
ejpam-5921	431	24	the	the	DET
ejpam-5921	431	25	inverse	inverse	ADJ
ejpam-5921	431	26	function	function	NOUN
ejpam-5921	431	27	of	of	ADP
ejpam-5921	431	28	any	any	DET
ejpam-5921	431	29	baseline	baseline	ADJ
ejpam-5921	431	30	distribution	distribution	NOUN
ejpam-5921	431	31	function	function	NOUN
ejpam-5921	431	32	g(x	g(x	NOUN
ejpam-5921	431	33	)	)	PUNCT
ejpam-5921	431	34	.	.	PUNCT
ejpam-5921	432	1	if	if	SCONJ
ejpam-5921	432	2	λ	λ	X
ejpam-5921	432	3	=	=	SYM
ejpam-5921	432	4	0	0	NUM
ejpam-5921	432	5	,	,	PUNCT
ejpam-5921	432	6	then	then	ADV
ejpam-5921	432	7	x	x	NOUN
ejpam-5921	432	8	=	=	SYM
ejpam-5921	432	9	g−1(v	g−1(v	PROPN
ejpam-5921	432	10	)	)	PUNCT
ejpam-5921	432	11	.	.	PUNCT
ejpam-5921	433	1	note	note	VERB
ejpam-5921	433	2	that	that	SCONJ
ejpam-5921	433	3	,	,	PUNCT
ejpam-5921	433	4	the	the	DET
ejpam-5921	433	5	extended	extended	ADJ
ejpam-5921	433	6	standard	standard	ADJ
ejpam-5921	433	7	u	u	ADJ
ejpam-5921	433	8	-	-	ADJ
ejpam-5921	433	9	quadratic	quadratic	ADJ
ejpam-5921	433	10	distribution	distribution	NOUN
ejpam-5921	433	11	is	be	AUX
ejpam-5921	433	12	derived	derive	VERB
ejpam-5921	433	13	from	from	ADP
ejpam-5921	433	14	the	the	DET
ejpam-5921	433	15	t	t	PROPN
ejpam-5921	433	16	-	-	PUNCT
ejpam-5921	433	17	extended	extend	VERB
ejpam-5921	433	18	standard	standard	ADJ
ejpam-5921	433	19	u	u	ADJ
ejpam-5921	433	20	-	-	ADJ
ejpam-5921	433	21	quadratic	quadratic	ADJ
ejpam-5921	433	22	g	g	PROPN
ejpam-5921	433	23	family	family	NOUN
ejpam-5921	433	24	of	of	ADP
ejpam-5921	433	25	distributions	distribution	NOUN
ejpam-5921	433	26	by	by	ADP
ejpam-5921	433	27	taking	take	VERB
ejpam-5921	433	28	g(x	g(x	NOUN
ejpam-5921	433	29	)	)	PUNCT
ejpam-5921	434	1	=	=	PUNCT
ejpam-5921	434	2	x.	x.	PUNCT
ejpam-5921	434	3	thus	thus	ADV
ejpam-5921	434	4	,	,	PUNCT
ejpam-5921	434	5	we	we	PRON
ejpam-5921	434	6	have	have	VERB
ejpam-5921	434	7	the	the	DET
ejpam-5921	434	8	following	follow	VERB
ejpam-5921	434	9	modified	modified	ADJ
ejpam-5921	434	10	algorithm	algorithm	NOUN
ejpam-5921	434	11	to	to	PART
ejpam-5921	434	12	generate	generate	VERB
ejpam-5921	434	13	random	random	ADJ
ejpam-5921	434	14	numbers	number	NOUN
ejpam-5921	434	15	from	from	ADP
ejpam-5921	434	16	an	an	DET
ejpam-5921	434	17	extended	extended	ADJ
ejpam-5921	434	18	standard	standard	ADJ
ejpam-5921	434	19	u	u	ADJ
ejpam-5921	434	20	-	-	ADJ
ejpam-5921	434	21	quadratic	quadratic	ADJ
ejpam-5921	434	22	distribution	distribution	NOUN
ejpam-5921	434	23	.	.	PUNCT
ejpam-5921	435	1	let	let	VERB
ejpam-5921	435	2	v	v	PART
ejpam-5921	435	3	follow	follow	VERB
ejpam-5921	435	4	a	a	DET
ejpam-5921	435	5	uniform	uniform	ADJ
ejpam-5921	435	6	distribution	distribution	NOUN
ejpam-5921	435	7	(	(	PUNCT
ejpam-5921	435	8	0	0	NUM
ejpam-5921	435	9	,	,	PUNCT
ejpam-5921	435	10	1	1	NUM
ejpam-5921	435	11	)	)	PUNCT
ejpam-5921	435	12	.	.	PUNCT
ejpam-5921	436	1	if	if	SCONJ
ejpam-5921	436	2	λ	λ	X
ejpam-5921	436	3	=	=	SYM
ejpam-5921	436	4	0	0	NUM
ejpam-5921	436	5	,	,	PUNCT
ejpam-5921	436	6	then	then	ADV
ejpam-5921	436	7	x	x	X
ejpam-5921	437	1	=	=	NOUN
ejpam-5921	437	2	v.	v.	CCONJ
ejpam-5921	437	3	otherwise	otherwise	ADV
ejpam-5921	437	4	,	,	PUNCT
ejpam-5921	437	5	it	it	PRON
ejpam-5921	437	6	is	be	AUX
ejpam-5921	437	7	given	give	VERB
ejpam-5921	437	8	as	as	SCONJ
ejpam-5921	437	9	follows	follow	VERB
ejpam-5921	437	10	:	:	PUNCT
ejpam-5921	437	11	step	step	NOUN
ejpam-5921	437	12	1	1	NUM
ejpam-5921	437	13	.	.	PUNCT
ejpam-5921	437	14	*	*	PUNCT
ejpam-5921	437	15	compute	compute	NOUN
ejpam-5921	437	16	q	q	NOUN
ejpam-5921	437	17	=	=	NOUN
ejpam-5921	437	18	1	1	NUM
ejpam-5921	437	19	2	2	NUM
ejpam-5921	437	20	(	(	PUNCT
ejpam-5921	437	21	1−	1−	NUM
ejpam-5921	437	22	1	1	NUM
ejpam-5921	437	23	λ	λ	NOUN
ejpam-5921	437	24	)	)	PUNCT
ejpam-5921	437	25	,	,	PUNCT
ejpam-5921	438	1	λ	λ	X
ejpam-5921	438	2	̸=	̸=	PROPN
ejpam-5921	438	3	0	0	NUM
ejpam-5921	438	4	;	;	PUNCT
ejpam-5921	438	5	r	r	NOUN
ejpam-5921	438	6	=	=	SYM
ejpam-5921	438	7	1−	1−	NUM
ejpam-5921	438	8	2v	2v	PROPN
ejpam-5921	438	9	16λ	16λ	PROPN
ejpam-5921	438	10	.	.	PUNCT
ejpam-5921	439	1	step	step	NOUN
ejpam-5921	439	2	2	2	NUM
ejpam-5921	439	3	.	.	PUNCT
ejpam-5921	440	1	*	*	PUNCT
ejpam-5921	441	1	if	if	SCONJ
ejpam-5921	441	2	r2	r2	PROPN
ejpam-5921	441	3	>	>	X
ejpam-5921	441	4	q3	q3	PROPN
ejpam-5921	441	5	,	,	PUNCT
ejpam-5921	441	6	then	then	ADV
ejpam-5921	441	7	a	a	DET
ejpam-5921	441	8	=	=	SYM
ejpam-5921	441	9	−sign(r	−sign(r	NUM
ejpam-5921	441	10	)	)	PUNCT
ejpam-5921	441	11	(	(	PUNCT
ejpam-5921	441	12	|r|+	|r|+	NOUN
ejpam-5921	441	13	√	√	PROPN
ejpam-5921	441	14	r2	r2	PROPN
ejpam-5921	441	15	−q3	−q3	PROPN
ejpam-5921	441	16	)	)	PUNCT
ejpam-5921	441	17	1	1	NUM
ejpam-5921	441	18	3	3	NUM
ejpam-5921	441	19	;	;	PUNCT
ejpam-5921	441	20	b	b	X
ejpam-5921	441	21	=	=	SYM
ejpam-5921	441	22	a	a	PROPN
ejpam-5921	441	23	,	,	PUNCT
ejpam-5921	441	24	ifa	ifa	PROPN
ejpam-5921	441	25	=	=	PUNCT
ejpam-5921	441	26	0	0	PROPN
ejpam-5921	442	1	q	q	PROPN
ejpam-5921	442	2	a	a	INTJ
ejpam-5921	442	3	,	,	PUNCT
ejpam-5921	442	4	otherwise	otherwise	ADV
ejpam-5921	442	5	;	;	PUNCT
ejpam-5921	442	6	x	x	SYM
ejpam-5921	442	7	=	=	PUNCT
ejpam-5921	442	8	a+b	a+b	X
ejpam-5921	442	9	+	+	NUM
ejpam-5921	442	10	1	1	NUM
ejpam-5921	442	11	2	2	NUM
ejpam-5921	442	12	.	.	PUNCT
ejpam-5921	443	1	otherwise	otherwise	ADV
ejpam-5921	443	2	,	,	PUNCT
ejpam-5921	443	3	θ	θ	PROPN
ejpam-5921	443	4	=	=	SYM
ejpam-5921	443	5	arccos	arcco	NOUN
ejpam-5921	443	6	(	(	PUNCT
ejpam-5921	443	7	r√	r√	NOUN
ejpam-5921	443	8	q3	q3	PROPN
ejpam-5921	443	9	)	)	PUNCT
ejpam-5921	443	10	;	;	PUNCT
ejpam-5921	443	11	x	x	X
ejpam-5921	443	12	=	=	SYM
ejpam-5921	443	13	1	1	NUM
ejpam-5921	443	14	2	2	NUM
ejpam-5921	443	15	−	−	NUM
ejpam-5921	443	16	2	2	NUM
ejpam-5921	443	17	√	√	PROPN
ejpam-5921	443	18	q	q	PROPN
ejpam-5921	443	19	cos	cos	PROPN
ejpam-5921	443	20	(	(	PUNCT
ejpam-5921	443	21	θ	θ	PROPN
ejpam-5921	443	22	−	−	PROPN
ejpam-5921	443	23	2π	2π	PROPN
ejpam-5921	443	24	3	3	NUM
ejpam-5921	443	25	)	)	PUNCT
ejpam-5921	443	26	.	.	PUNCT
ejpam-5921	444	1	the	the	DET
ejpam-5921	444	2	inverse	inverse	NOUN
ejpam-5921	444	3	cdf	cdf	PROPN
ejpam-5921	444	4	of	of	ADP
ejpam-5921	444	5	the	the	DET
ejpam-5921	444	6	tesu	tesu	PROPN
ejpam-5921	444	7	-	-	PUNCT
ejpam-5921	444	8	g	g	NOUN
ejpam-5921	444	9	family	family	NOUN
ejpam-5921	444	10	is	be	AUX
ejpam-5921	444	11	not	not	PART
ejpam-5921	444	12	readily	readily	ADV
ejpam-5921	444	13	available	available	ADJ
ejpam-5921	444	14	in	in	ADP
ejpam-5921	444	15	a	a	DET
ejpam-5921	444	16	simple	simple	ADJ
ejpam-5921	444	17	closed	closed	ADJ
ejpam-5921	444	18	form	form	NOUN
ejpam-5921	444	19	due	due	ADP
ejpam-5921	444	20	to	to	ADP
ejpam-5921	444	21	its	its	PRON
ejpam-5921	444	22	nonlinear	nonlinear	ADJ
ejpam-5921	444	23	and	and	CCONJ
ejpam-5921	444	24	complex	complex	ADJ
ejpam-5921	444	25	structure	structure	NOUN
ejpam-5921	444	26	.	.	PUNCT
ejpam-5921	445	1	as	as	ADP
ejpam-5921	445	2	a	a	DET
ejpam-5921	445	3	result	result	NOUN
ejpam-5921	445	4	,	,	PUNCT
ejpam-5921	445	5	the	the	DET
ejpam-5921	445	6	numerical	numerical	ADJ
ejpam-5921	445	7	algorithm	algorithm	PROPN
ejpam-5921	445	8	presented	present	VERB
ejpam-5921	445	9	above	above	ADV
ejpam-5921	445	10	is	be	AUX
ejpam-5921	445	11	used	use	VERB
ejpam-5921	445	12	to	to	PART
ejpam-5921	445	13	approximate	approximate	VERB
ejpam-5921	445	14	the	the	DET
ejpam-5921	445	15	inverse	inverse	NOUN
ejpam-5921	445	16	cdf	cdf	PROPN
ejpam-5921	445	17	,	,	PUNCT
ejpam-5921	445	18	enabling	enable	VERB
ejpam-5921	445	19	random	random	ADJ
ejpam-5921	445	20	number	number	NOUN
ejpam-5921	445	21	generation	generation	NOUN
ejpam-5921	445	22	in	in	ADP
ejpam-5921	445	23	a	a	DET
ejpam-5921	445	24	computationally	computationally	ADV
ejpam-5921	445	25	feasible	feasible	ADJ
ejpam-5921	445	26	manner	manner	NOUN
ejpam-5921	445	27	.	.	PUNCT
ejpam-5921	446	1	this	this	DET
ejpam-5921	446	2	approach	approach	NOUN
ejpam-5921	446	3	is	be	AUX
ejpam-5921	446	4	a	a	DET
ejpam-5921	446	5	standard	standard	ADJ
ejpam-5921	446	6	method	method	NOUN
ejpam-5921	446	7	for	for	ADP
ejpam-5921	446	8	generating	generate	VERB
ejpam-5921	446	9	random	random	ADJ
ejpam-5921	446	10	variables	variable	NOUN
ejpam-5921	446	11	from	from	ADP
ejpam-5921	446	12	distributions	distribution	NOUN
ejpam-5921	446	13	where	where	SCONJ
ejpam-5921	446	14	the	the	DET
ejpam-5921	446	15	inverse	inverse	NOUN
ejpam-5921	446	16	cdf	cdf	PROPN
ejpam-5921	446	17	is	be	AUX
ejpam-5921	446	18	difficult	difficult	ADJ
ejpam-5921	446	19	to	to	PART
ejpam-5921	446	20	compute	compute	VERB
ejpam-5921	446	21	directly	directly	ADV
ejpam-5921	446	22	.	.	PUNCT
ejpam-5921	447	1	i.	i.	PROPN
ejpam-5921	447	2	a.	a.	PROPN
ejpam-5921	447	3	lakibul	lakibul	PROPN
ejpam-5921	447	4	,	,	PUNCT
ejpam-5921	447	5	d.	d.	PROPN
ejpam-5921	447	6	l.	l.	PROPN
ejpam-5921	447	7	polestico	polestico	PROPN
ejpam-5921	447	8	,	,	PUNCT
ejpam-5921	447	9	a.	a.	PROPN
ejpam-5921	447	10	p.	p.	NOUN
ejpam-5921	447	11	supe	supe	PROPN
ejpam-5921	447	12	/	/	SYM
ejpam-5921	447	13	eur	eur	PROPN
ejpam-5921	447	14	.	.	PUNCT
ejpam-5921	448	1	j.	j.	PROPN
ejpam-5921	448	2	pure	pure	PROPN
ejpam-5921	448	3	appl	appl	PROPN
ejpam-5921	448	4	.	.	PROPN
ejpam-5921	448	5	math	math	PROPN
ejpam-5921	448	6	,	,	PUNCT
ejpam-5921	448	7	18	18	NUM
ejpam-5921	448	8	(	(	PUNCT
ejpam-5921	448	9	3	3	NUM
ejpam-5921	448	10	)	)	PUNCT
ejpam-5921	448	11	(	(	PUNCT
ejpam-5921	448	12	2025	2025	NUM
ejpam-5921	448	13	)	)	PUNCT
ejpam-5921	448	14	,	,	PUNCT
ejpam-5921	448	15	5921	5921	NUM
ejpam-5921	448	16	20	20	NUM
ejpam-5921	448	17	of	of	ADP
ejpam-5921	448	18	24	24	NUM
ejpam-5921	448	19	in	in	ADP
ejpam-5921	448	20	addition	addition	NOUN
ejpam-5921	448	21	,	,	PUNCT
ejpam-5921	448	22	to	to	PART
ejpam-5921	448	23	generate	generate	VERB
ejpam-5921	448	24	a	a	DET
ejpam-5921	448	25	random	random	ADJ
ejpam-5921	448	26	sample	sample	NOUN
ejpam-5921	448	27	from	from	ADP
ejpam-5921	448	28	the	the	DET
ejpam-5921	448	29	ρ	ρ	NOUN
ejpam-5921	448	30	bivariate	bivariate	ADJ
ejpam-5921	448	31	extended	extend	VERB
ejpam-5921	448	32	standard	standard	ADJ
ejpam-5921	448	33	u	u	ADJ
ejpam-5921	448	34	-	-	ADJ
ejpam-5921	448	35	quadratic	quadratic	ADJ
ejpam-5921	448	36	distribution	distribution	NOUN
ejpam-5921	448	37	,	,	PUNCT
ejpam-5921	448	38	we	we	PRON
ejpam-5921	448	39	use	use	VERB
ejpam-5921	448	40	the	the	DET
ejpam-5921	448	41	conditional	conditional	ADJ
ejpam-5921	448	42	approach	approach	NOUN
ejpam-5921	448	43	given	give	VERB
ejpam-5921	448	44	in	in	ADP
ejpam-5921	448	45	the	the	DET
ejpam-5921	448	46	following	following	ADJ
ejpam-5921	448	47	algorithm	algorithm	NOUN
ejpam-5921	448	48	:	:	PUNCT
ejpam-5921	448	49	steps	step	VERB
ejpam-5921	448	50	description	description	NOUN
ejpam-5921	448	51	1	1	NUM
ejpam-5921	448	52	draw	draw	VERB
ejpam-5921	448	53	a	a	DET
ejpam-5921	448	54	random	random	ADJ
ejpam-5921	448	55	sample	sample	NOUN
ejpam-5921	448	56	x	x	PUNCT
ejpam-5921	448	57	of	of	ADP
ejpam-5921	448	58	size	size	NOUN
ejpam-5921	448	59	n	n	CCONJ
ejpam-5921	448	60	from	from	ADP
ejpam-5921	448	61	an	an	DET
ejpam-5921	448	62	extended	extended	ADJ
ejpam-5921	448	63	standard	standard	ADJ
ejpam-5921	448	64	u	u	ADJ
ejpam-5921	448	65	-	-	ADJ
ejpam-5921	448	66	quadratic	quadratic	ADJ
ejpam-5921	448	67	distribution	distribution	NOUN
ejpam-5921	448	68	with	with	ADP
ejpam-5921	448	69	parameter	parameter	PROPN
ejpam-5921	448	70	λ	λ	PROPN
ejpam-5921	448	71	.	.	PROPN
ejpam-5921	448	72	2	2	NUM
ejpam-5921	448	73	for	for	ADP
ejpam-5921	448	74	each	each	DET
ejpam-5921	448	75	observation	observation	NOUN
ejpam-5921	448	76	x	x	NOUN
ejpam-5921	448	77	,	,	PUNCT
ejpam-5921	448	78	draw	draw	VERB
ejpam-5921	448	79	a	a	DET
ejpam-5921	448	80	sample	sample	NOUN
ejpam-5921	448	81	of	of	ADP
ejpam-5921	448	82	size	size	NOUN
ejpam-5921	448	83	1	1	NUM
ejpam-5921	448	84	from	from	ADP
ejpam-5921	448	85	an	an	DET
ejpam-5921	448	86	extended	extended	ADJ
ejpam-5921	448	87	standard	standard	ADJ
ejpam-5921	448	88	standard	standard	ADJ
ejpam-5921	448	89	u	u	ADJ
ejpam-5921	448	90	-	-	ADJ
ejpam-5921	448	91	quadratic	quadratic	ADJ
ejpam-5921	448	92	distribution	distribution	NOUN
ejpam-5921	448	93	with	with	ADP
ejpam-5921	448	94	parameter	parameter	NOUN
ejpam-5921	448	95	1.5xρ	1.5xρ	PROPN
ejpam-5921	448	96	−	−	PROPN
ejpam-5921	448	97	0.5	0.5	NUM
ejpam-5921	448	98	.	.	PUNCT
ejpam-5921	449	1	repeat	repeat	VERB
ejpam-5921	449	2	this	this	DET
ejpam-5921	449	3	process	process	NOUN
ejpam-5921	449	4	for	for	ADP
ejpam-5921	449	5	all	all	DET
ejpam-5921	449	6	observations	observation	NOUN
ejpam-5921	449	7	of	of	ADP
ejpam-5921	449	8	x.	x.	NOUN
ejpam-5921	449	9	denote	denote	VERB
ejpam-5921	449	10	this	this	DET
ejpam-5921	449	11	sample	sample	NOUN
ejpam-5921	449	12	as	as	ADP
ejpam-5921	449	13	y	y	PROPN
ejpam-5921	449	14	.	.	PUNCT
ejpam-5921	450	1	3	3	NUM
ejpam-5921	450	2	finally	finally	ADV
ejpam-5921	450	3	,	,	PUNCT
ejpam-5921	450	4	the	the	DET
ejpam-5921	450	5	desired	desire	VERB
ejpam-5921	450	6	random	random	ADJ
ejpam-5921	450	7	sample	sample	NOUN
ejpam-5921	450	8	is	be	AUX
ejpam-5921	450	9	(	(	PUNCT
ejpam-5921	450	10	x	x	NOUN
ejpam-5921	450	11	,	,	PUNCT
ejpam-5921	450	12	y	y	PROPN
ejpam-5921	450	13	)	)	PUNCT
ejpam-5921	450	14	.	.	PUNCT
ejpam-5921	451	1	6	6	X
ejpam-5921	451	2	.	.	X
ejpam-5921	451	3	simulation	simulation	NOUN
ejpam-5921	451	4	study	study	VERB
ejpam-5921	451	5	this	this	DET
ejpam-5921	451	6	section	section	NOUN
ejpam-5921	451	7	presents	present	VERB
ejpam-5921	451	8	the	the	DET
ejpam-5921	451	9	simulation	simulation	NOUN
ejpam-5921	451	10	results	result	VERB
ejpam-5921	451	11	to	to	PART
ejpam-5921	451	12	assess	assess	VERB
ejpam-5921	451	13	the	the	DET
ejpam-5921	451	14	behavior	behavior	NOUN
ejpam-5921	451	15	of	of	ADP
ejpam-5921	451	16	the	the	DET
ejpam-5921	451	17	maximum	maximum	ADJ
ejpam-5921	451	18	likelihood	likelihood	NOUN
ejpam-5921	451	19	estimate	estimate	NOUN
ejpam-5921	451	20	of	of	ADP
ejpam-5921	451	21	the	the	DET
ejpam-5921	451	22	parameter	parameter	NOUN
ejpam-5921	451	23	of	of	ADP
ejpam-5921	451	24	the	the	DET
ejpam-5921	451	25	proposed	propose	VERB
ejpam-5921	451	26	bivariate	bivariate	ADJ
ejpam-5921	451	27	distribution	distribution	NOUN
ejpam-5921	451	28	.	.	PUNCT
ejpam-5921	452	1	the	the	DET
ejpam-5921	452	2	simulation	simulation	NOUN
ejpam-5921	452	3	algorithm	algorithm	NOUN
ejpam-5921	452	4	is	be	AUX
ejpam-5921	452	5	given	give	VERB
ejpam-5921	452	6	as	as	SCONJ
ejpam-5921	452	7	follows	follow	VERB
ejpam-5921	452	8	:	:	PUNCT
ejpam-5921	452	9	steps	step	NOUN
ejpam-5921	452	10	description	description	NOUN
ejpam-5921	452	11	1	1	NUM
ejpam-5921	452	12	draw	draw	VERB
ejpam-5921	452	13	sample	sample	NOUN
ejpam-5921	452	14	of	of	ADP
ejpam-5921	452	15	size	size	NOUN
ejpam-5921	452	16	n	n	CCONJ
ejpam-5921	452	17	,	,	PUNCT
ejpam-5921	452	18	n	n	NOUN
ejpam-5921	452	19	=	=	SYM
ejpam-5921	452	20	50	50	NUM
ejpam-5921	452	21	,	,	PUNCT
ejpam-5921	452	22	100	100	NUM
ejpam-5921	452	23	,	,	PUNCT
ejpam-5921	452	24	200	200	NUM
ejpam-5921	452	25	,	,	PUNCT
ejpam-5921	452	26	500	500	NUM
ejpam-5921	452	27	,	,	PUNCT
ejpam-5921	452	28	1000	1000	NUM
ejpam-5921	452	29	from	from	ADP
ejpam-5921	452	30	a	a	DET
ejpam-5921	452	31	ρ	ρ	NOUN
ejpam-5921	452	32	bivariate	bivariate	ADJ
ejpam-5921	452	33	extended	extend	VERB
ejpam-5921	452	34	standard	standard	ADJ
ejpam-5921	452	35	u	u	ADJ
ejpam-5921	452	36	-	-	ADJ
ejpam-5921	452	37	quadratic	quadratic	ADJ
ejpam-5921	452	38	distribution	distribution	NOUN
ejpam-5921	452	39	with	with	ADP
ejpam-5921	452	40	parameter	parameter	NOUN
ejpam-5921	452	41	λ	λ	PROPN
ejpam-5921	452	42	and	and	CCONJ
ejpam-5921	452	43	ρ	ρ	PROPN
ejpam-5921	452	44	using	use	VERB
ejpam-5921	452	45	the	the	DET
ejpam-5921	452	46	algorithm	algorithm	NOUN
ejpam-5921	452	47	given	give	VERB
ejpam-5921	452	48	in	in	ADP
ejpam-5921	452	49	the	the	DET
ejpam-5921	452	50	previous	previous	ADJ
ejpam-5921	452	51	section	section	NOUN
ejpam-5921	452	52	.	.	PUNCT
ejpam-5921	453	1	2	2	NUM
ejpam-5921	453	2	using	use	VERB
ejpam-5921	453	3	the	the	DET
ejpam-5921	453	4	bivariate	bivariate	ADJ
ejpam-5921	453	5	sample	sample	NOUN
ejpam-5921	453	6	(	(	PUNCT
ejpam-5921	453	7	x	x	NOUN
ejpam-5921	453	8	,	,	PUNCT
ejpam-5921	453	9	y	y	PROPN
ejpam-5921	453	10	)	)	PUNCT
ejpam-5921	453	11	obtained	obtain	VERB
ejpam-5921	453	12	in	in	ADP
ejpam-5921	453	13	step	step	NOUN
ejpam-5921	453	14	1	1	NUM
ejpam-5921	453	15	above	above	ADV
ejpam-5921	453	16	,	,	PUNCT
ejpam-5921	453	17	compute	compute	VERB
ejpam-5921	453	18	the	the	DET
ejpam-5921	453	19	maximum	maximum	ADJ
ejpam-5921	453	20	likelihood	likelihood	NOUN
ejpam-5921	453	21	estimate	estimate	NOUN
ejpam-5921	453	22	of	of	ADP
ejpam-5921	453	23	λ	λ	PROPN
ejpam-5921	453	24	and	and	CCONJ
ejpam-5921	453	25	ρ	ρ	PROPN
ejpam-5921	453	26	.	.	PROPN
ejpam-5921	453	27	3	3	NUM
ejpam-5921	453	28	repeat	repeat	VERB
ejpam-5921	453	29	the	the	DET
ejpam-5921	453	30	preceding	precede	VERB
ejpam-5921	453	31	steps	step	NOUN
ejpam-5921	453	32	1	1	NUM
ejpam-5921	453	33	-	-	SYM
ejpam-5921	453	34	2	2	NUM
ejpam-5921	453	35	n	n	NOUN
ejpam-5921	453	36	=	=	SYM
ejpam-5921	453	37	1000	1000	NUM
ejpam-5921	453	38	times	time	NOUN
ejpam-5921	453	39	to	to	PART
ejpam-5921	453	40	get	get	VERB
ejpam-5921	453	41	1000	1000	NUM
ejpam-5921	453	42	estimates	estimate	NOUN
ejpam-5921	453	43	of	of	ADP
ejpam-5921	453	44	λ	λ	PROPN
ejpam-5921	453	45	and	and	CCONJ
ejpam-5921	453	46	ρ	ρ	PROPN
ejpam-5921	453	47	.	.	PROPN
ejpam-5921	453	48	4	4	NUM
ejpam-5921	453	49	compute	compute	NOUN
ejpam-5921	453	50	the	the	DET
ejpam-5921	453	51	mean	mean	ADJ
ejpam-5921	453	52	,	,	PUNCT
ejpam-5921	453	53	bias	bias	NOUN
ejpam-5921	453	54	,	,	PUNCT
ejpam-5921	453	55	and	and	CCONJ
ejpam-5921	453	56	mean	mean	VERB
ejpam-5921	453	57	squared	square	VERB
ejpam-5921	453	58	error	error	NOUN
ejpam-5921	453	59	(	(	PUNCT
ejpam-5921	453	60	mse	mse	NOUN
ejpam-5921	453	61	)	)	PUNCT
ejpam-5921	453	62	of	of	ADP
ejpam-5921	453	63	the	the	DET
ejpam-5921	453	64	1000	1000	NUM
ejpam-5921	453	65	estimates	estimate	NOUN
ejpam-5921	453	66	obtained	obtain	VERB
ejpam-5921	453	67	in	in	ADP
ejpam-5921	453	68	step	step	NOUN
ejpam-5921	453	69	3	3	NUM
ejpam-5921	453	70	to	to	PART
ejpam-5921	453	71	get	get	VERB
ejpam-5921	453	72	the	the	DET
ejpam-5921	453	73	desired	desire	VERB
ejpam-5921	453	74	results	result	NOUN
ejpam-5921	453	75	the	the	DET
ejpam-5921	453	76	mean	mean	NOUN
ejpam-5921	453	77	(	(	PUNCT
ejpam-5921	453	78	ae	ae	PROPN
ejpam-5921	453	79	)	)	PUNCT
ejpam-5921	453	80	,	,	PUNCT
ejpam-5921	453	81	bias	bias	NOUN
ejpam-5921	453	82	,	,	PUNCT
ejpam-5921	453	83	and	and	CCONJ
ejpam-5921	453	84	mse	mse	PROPN
ejpam-5921	453	85	are	be	AUX
ejpam-5921	453	86	,	,	PUNCT
ejpam-5921	453	87	respectively	respectively	ADV
ejpam-5921	453	88	,	,	PUNCT
ejpam-5921	453	89	defined	define	VERB
ejpam-5921	453	90	by	by	ADP
ejpam-5921	453	91	ae	ae	PROPN
ejpam-5921	453	92	=	=	PROPN
ejpam-5921	454	1	n∑	n∑	PROPN
ejpam-5921	454	2	i=1	i=1	PROPN
ejpam-5921	454	3	λi	λi	ADP
ejpam-5921	454	4	n	n	NOUN
ejpam-5921	454	5	,	,	PUNCT
ejpam-5921	454	6	bias	bias	NOUN
ejpam-5921	454	7	=	=	SYM
ejpam-5921	454	8	ae	ae	PROPN
ejpam-5921	454	9	−	−	PROPN
ejpam-5921	454	10	λ	λ	PROPN
ejpam-5921	454	11	and	and	CCONJ
ejpam-5921	454	12	mse	mse	PROPN
ejpam-5921	454	13	=	=	SYM
ejpam-5921	454	14	n∑	n∑	PROPN
ejpam-5921	454	15	i=1	i=1	PROPN
ejpam-5921	455	1	(	(	PUNCT
ejpam-5921	455	2	λi	λi	ADP
ejpam-5921	455	3	−	−	NOUN
ejpam-5921	455	4	λ)2	λ)2	NOUN
ejpam-5921	455	5	n	n	NOUN
ejpam-5921	455	6	.	.	PUNCT
ejpam-5921	456	1	considering	consider	VERB
ejpam-5921	456	2	two	two	NUM
ejpam-5921	456	3	different	different	ADJ
ejpam-5921	456	4	sets	set	NOUN
ejpam-5921	456	5	of	of	ADP
ejpam-5921	456	6	values	value	NOUN
ejpam-5921	456	7	of	of	ADP
ejpam-5921	456	8	the	the	DET
ejpam-5921	456	9	parameters	parameter	NOUN
ejpam-5921	456	10	λ	λ	PROPN
ejpam-5921	456	11	and	and	CCONJ
ejpam-5921	456	12	ρ	ρ	PROPN
ejpam-5921	456	13	,	,	PUNCT
ejpam-5921	456	14	the	the	DET
ejpam-5921	456	15	following	follow	VERB
ejpam-5921	456	16	table	table	NOUN
ejpam-5921	456	17	shows	show	VERB
ejpam-5921	456	18	that	that	SCONJ
ejpam-5921	456	19	as	as	SCONJ
ejpam-5921	456	20	n	n	PRON
ejpam-5921	456	21	becomes	become	VERB
ejpam-5921	456	22	large	large	ADJ
ejpam-5921	456	23	,	,	PUNCT
ejpam-5921	456	24	the	the	DET
ejpam-5921	456	25	average	average	ADJ
ejpam-5921	456	26	estimate	estimate	NOUN
ejpam-5921	456	27	(	(	PUNCT
ejpam-5921	456	28	ae	ae	PROPN
ejpam-5921	456	29	)	)	PUNCT
ejpam-5921	456	30	of	of	ADP
ejpam-5921	456	31	the	the	DET
ejpam-5921	456	32	parameters	parameter	NOUN
ejpam-5921	456	33	λ	λ	PROPN
ejpam-5921	456	34	and	and	CCONJ
ejpam-5921	456	35	ρ	ρ	PROPN
ejpam-5921	456	36	are	be	AUX
ejpam-5921	456	37	going	go	VERB
ejpam-5921	456	38	closer	close	ADV
ejpam-5921	456	39	to	to	ADP
ejpam-5921	456	40	the	the	DET
ejpam-5921	456	41	true	true	ADJ
ejpam-5921	456	42	values	value	NOUN
ejpam-5921	456	43	,	,	PUNCT
ejpam-5921	456	44	respectively	respectively	ADV
ejpam-5921	456	45	,	,	PUNCT
ejpam-5921	456	46	while	while	SCONJ
ejpam-5921	456	47	the	the	DET
ejpam-5921	456	48	bias	bias	NOUN
ejpam-5921	456	49	and	and	CCONJ
ejpam-5921	456	50	the	the	DET
ejpam-5921	456	51	mse	mse	NOUN
ejpam-5921	456	52	diminish	diminish	VERB
ejpam-5921	456	53	to	to	ADP
ejpam-5921	456	54	zero	zero	NUM
ejpam-5921	456	55	.	.	PUNCT
ejpam-5921	457	1	thus	thus	ADV
ejpam-5921	457	2	,	,	PUNCT
ejpam-5921	457	3	the	the	DET
ejpam-5921	457	4	maximum	maximum	ADJ
ejpam-5921	457	5	likelihood	likelihood	NOUN
ejpam-5921	457	6	estimates	estimate	NOUN
ejpam-5921	457	7	of	of	ADP
ejpam-5921	457	8	the	the	DET
ejpam-5921	457	9	proposed	propose	VERB
ejpam-5921	457	10	distribution	distribution	NOUN
ejpam-5921	457	11	parameters	parameter	NOUN
ejpam-5921	457	12	are	be	AUX
ejpam-5921	457	13	consistent	consistent	ADJ
ejpam-5921	457	14	.	.	PUNCT
ejpam-5921	458	1	i.	i.	PROPN
ejpam-5921	458	2	a.	a.	PROPN
ejpam-5921	458	3	lakibul	lakibul	PROPN
ejpam-5921	458	4	,	,	PUNCT
ejpam-5921	458	5	d.	d.	PROPN
ejpam-5921	458	6	l.	l.	PROPN
ejpam-5921	458	7	polestico	polestico	PROPN
ejpam-5921	458	8	,	,	PUNCT
ejpam-5921	458	9	a.	a.	PROPN
ejpam-5921	458	10	p.	p.	NOUN
ejpam-5921	458	11	supe	supe	PROPN
ejpam-5921	458	12	/	/	SYM
ejpam-5921	458	13	eur	eur	PROPN
ejpam-5921	458	14	.	.	PUNCT
ejpam-5921	459	1	j.	j.	PROPN
ejpam-5921	459	2	pure	pure	PROPN
ejpam-5921	459	3	appl	appl	PROPN
ejpam-5921	459	4	.	.	PROPN
ejpam-5921	459	5	math	math	PROPN
ejpam-5921	459	6	,	,	PUNCT
ejpam-5921	459	7	18	18	NUM
ejpam-5921	459	8	(	(	PUNCT
ejpam-5921	459	9	3	3	NUM
ejpam-5921	459	10	)	)	PUNCT
ejpam-5921	459	11	(	(	PUNCT
ejpam-5921	459	12	2025	2025	NUM
ejpam-5921	459	13	)	)	PUNCT
ejpam-5921	459	14	,	,	PUNCT
ejpam-5921	459	15	5921	5921	NUM
ejpam-5921	459	16	21	21	NUM
ejpam-5921	459	17	of	of	ADP
ejpam-5921	459	18	24	24	NUM
ejpam-5921	459	19	table	table	NOUN
ejpam-5921	459	20	1	1	NUM
ejpam-5921	459	21	:	:	PUNCT
ejpam-5921	459	22	results	result	NOUN
ejpam-5921	459	23	of	of	ADP
ejpam-5921	459	24	the	the	DET
ejpam-5921	459	25	simulation	simulation	NOUN
ejpam-5921	459	26	study	study	NOUN
ejpam-5921	459	27	for	for	ADP
ejpam-5921	459	28	the	the	DET
ejpam-5921	459	29	following	follow	VERB
ejpam-5921	459	30	set	set	NOUN
ejpam-5921	459	31	of	of	ADP
ejpam-5921	459	32	values	value	NOUN
ejpam-5921	459	33	of	of	ADP
ejpam-5921	459	34	the	the	DET
ejpam-5921	459	35	parameters	parameter	NOUN
ejpam-5921	459	36	of	of	ADP
ejpam-5921	459	37	ρ	ρ	PROPN
ejpam-5921	459	38	besu	besu	NOUN
ejpam-5921	459	39	distribution	distribution	NOUN
ejpam-5921	459	40	:	:	PUNCT
ejpam-5921	459	41	(	(	PUNCT
ejpam-5921	459	42	a.	a.	NOUN
ejpam-5921	459	43	)	)	PUNCT
ejpam-5921	459	44	λ	λ	PROPN
ejpam-5921	459	45	=	=	SYM
ejpam-5921	459	46	−0.3	−0.3	PROPN
ejpam-5921	459	47	and	and	CCONJ
ejpam-5921	459	48	ρ	ρ	NUM
ejpam-5921	459	49	=	=	SYM
ejpam-5921	459	50	0.1	0.1	NUM
ejpam-5921	459	51	(	(	PUNCT
ejpam-5921	459	52	left	leave	VERB
ejpam-5921	459	53	)	)	PUNCT
ejpam-5921	459	54	;	;	PUNCT
ejpam-5921	459	55	and	and	CCONJ
ejpam-5921	459	56	(	(	PUNCT
ejpam-5921	459	57	b.	b.	NOUN
ejpam-5921	459	58	)	)	PUNCT
ejpam-5921	459	59	λ	λ	NOUN
ejpam-5921	460	1	=	=	SYM
ejpam-5921	460	2	0.5	0.5	NUM
ejpam-5921	460	3	and	and	CCONJ
ejpam-5921	460	4	ρ	ρ	NUM
ejpam-5921	460	5	=	=	SYM
ejpam-5921	460	6	1.5	1.5	NUM
ejpam-5921	460	7	(	(	PUNCT
ejpam-5921	460	8	right	right	NOUN
ejpam-5921	460	9	)	)	PUNCT
ejpam-5921	461	1	n	n	CCONJ
ejpam-5921	461	2	mle	mle	PROPN
ejpam-5921	461	3	ae	ae	PROPN
ejpam-5921	461	4	bias	bias	PROPN
ejpam-5921	461	5	mse	mse	PROPN
ejpam-5921	461	6	50	50	NUM
ejpam-5921	461	7	λ̂	λ̂	NUM
ejpam-5921	461	8	−0.304	−0.304	PROPN
ejpam-5921	461	9	−0.004	−0.004	VERB
ejpam-5921	461	10	0.017	0.017	NUM
ejpam-5921	461	11	100	100	NUM
ejpam-5921	461	12	λ̂	λ̂	NUM
ejpam-5921	461	13	−0.298	−0.298	NUM
ejpam-5921	461	14	0.002	0.002	NUM
ejpam-5921	461	15	0.009	0.009	NUM
ejpam-5921	461	16	200	200	NUM
ejpam-5921	461	17	λ̂	λ̂	SYM
ejpam-5921	461	18	−0.300	−0.300	VERB
ejpam-5921	461	19	0.000	0.000	NUM
ejpam-5921	461	20	0.004	0.004	NUM
ejpam-5921	461	21	500	500	NUM
ejpam-5921	461	22	λ̂	λ̂	NUM
ejpam-5921	461	23	−0.301	−0.301	PROPN
ejpam-5921	461	24	−0.001	−0.001	NOUN
ejpam-5921	461	25	0.002	0.002	NUM
ejpam-5921	461	26	1000	1000	NUM
ejpam-5921	461	27	λ̂	λ̂	NUM
ejpam-5921	461	28	−0.301	−0.301	PROPN
ejpam-5921	461	29	−0.001	−0.001	NOUN
ejpam-5921	461	30	0.001	0.001	NUM
ejpam-5921	461	31	50	50	NUM
ejpam-5921	461	32	ρ̂	ρ̂	NUM
ejpam-5921	461	33	0.106	0.106	NUM
ejpam-5921	461	34	0.006	0.006	NUM
ejpam-5921	461	35	0.008	0.008	NUM
ejpam-5921	461	36	100	100	NUM
ejpam-5921	461	37	ρ̂	ρ̂	NUM
ejpam-5921	461	38	0.102	0.102	NUM
ejpam-5921	461	39	0.002	0.002	NUM
ejpam-5921	461	40	0.004	0.004	NUM
ejpam-5921	461	41	200	200	NUM
ejpam-5921	461	42	ρ̂	ρ̂	NUM
ejpam-5921	461	43	0.102	0.102	NUM
ejpam-5921	461	44	0.002	0.002	NUM
ejpam-5921	461	45	0.002	0.002	NUM
ejpam-5921	461	46	500	500	NUM
ejpam-5921	461	47	ρ̂	ρ̂	NUM
ejpam-5921	461	48	0.102	0.102	NUM
ejpam-5921	461	49	0.002	0.002	NUM
ejpam-5921	461	50	0.001	0.001	NUM
ejpam-5921	461	51	1000	1000	NUM
ejpam-5921	461	52	ρ̂	ρ̂	NUM
ejpam-5921	461	53	0.101	0.101	NUM
ejpam-5921	461	54	0.001	0.001	NUM
ejpam-5921	461	55	0.000	0.000	NUM
ejpam-5921	461	56	n	n	DET
ejpam-5921	461	57	mle	mle	PROPN
ejpam-5921	461	58	ae	ae	PROPN
ejpam-5921	461	59	bias	bias	PROPN
ejpam-5921	461	60	mse	mse	PROPN
ejpam-5921	461	61	50	50	NUM
ejpam-5921	461	62	λ̂	λ̂	NUM
ejpam-5921	461	63	0.495	0.495	NUM
ejpam-5921	461	64	−0.005	−0.005	NUM
ejpam-5921	461	65	0.024	0.024	NUM
ejpam-5921	461	66	100	100	NUM
ejpam-5921	461	67	λ̂	λ̂	NUM
ejpam-5921	461	68	0.504	0.504	NUM
ejpam-5921	461	69	0.004	0.004	NUM
ejpam-5921	461	70	0.011	0.011	NUM
ejpam-5921	461	71	200	200	NUM
ejpam-5921	461	72	λ̂	λ̂	SYM
ejpam-5921	461	73	0.499	0.499	NUM
ejpam-5921	461	74	−0.001	−0.001	NOUN
ejpam-5921	461	75	0.006	0.006	NUM
ejpam-5921	461	76	500	500	NUM
ejpam-5921	461	77	λ̂	λ̂	NUM
ejpam-5921	461	78	0.499	0.499	NUM
ejpam-5921	461	79	−0.001	−0.001	NOUN
ejpam-5921	461	80	0.002	0.002	NUM
ejpam-5921	461	81	1000	1000	NUM
ejpam-5921	461	82	λ̂	λ̂	NUM
ejpam-5921	461	83	0.498	0.498	NUM
ejpam-5921	461	84	−0.002	−0.002	NOUN
ejpam-5921	461	85	0.001	0.001	NUM
ejpam-5921	461	86	50	50	NUM
ejpam-5921	461	87	ρ̂	ρ̂	NUM
ejpam-5921	461	88	1.808	1.808	NUM
ejpam-5921	461	89	0.308	0.308	NUM
ejpam-5921	461	90	1.720	1.720	NUM
ejpam-5921	461	91	100	100	NUM
ejpam-5921	461	92	ρ̂	ρ̂	NUM
ejpam-5921	461	93	1.598	1.598	NUM
ejpam-5921	461	94	0.098	0.098	NUM
ejpam-5921	461	95	0.271	0.271	NUM
ejpam-5921	461	96	200	200	NUM
ejpam-5921	461	97	ρ̂	ρ̂	NUM
ejpam-5921	461	98	1.541	1.541	NUM
ejpam-5921	461	99	0.041	0.041	NUM
ejpam-5921	461	100	0.122	0.122	NUM
ejpam-5921	461	101	500	500	NUM
ejpam-5921	461	102	ρ̂	ρ̂	NUM
ejpam-5921	461	103	1.525	1.525	NUM
ejpam-5921	461	104	0.025	0.025	NUM
ejpam-5921	461	105	0.045	0.045	NUM
ejpam-5921	461	106	1000	1000	NUM
ejpam-5921	461	107	ρ̂	ρ̂	NUM
ejpam-5921	461	108	1.515	1.515	NUM
ejpam-5921	461	109	0.015	0.015	NUM
ejpam-5921	461	110	0.023	0.023	NUM
ejpam-5921	461	111	7	7	NUM
ejpam-5921	461	112	.	.	PUNCT
ejpam-5921	461	113	application	application	NOUN
ejpam-5921	461	114	in	in	ADP
ejpam-5921	461	115	this	this	DET
ejpam-5921	461	116	section	section	NOUN
ejpam-5921	461	117	,	,	PUNCT
ejpam-5921	461	118	we	we	PRON
ejpam-5921	461	119	apply	apply	VERB
ejpam-5921	461	120	the	the	DET
ejpam-5921	461	121	proposed	propose	VERB
ejpam-5921	461	122	generalized	generalized	ADJ
ejpam-5921	461	123	bivariate	bivariate	ADJ
ejpam-5921	461	124	distribution	distribution	NOUN
ejpam-5921	461	125	and	and	CCONJ
ejpam-5921	461	126	compare	compare	VERB
ejpam-5921	461	127	with	with	ADP
ejpam-5921	461	128	the	the	DET
ejpam-5921	461	129	besu	besu	NOUN
ejpam-5921	461	130	distribution	distribution	NOUN
ejpam-5921	461	131	.	.	PUNCT
ejpam-5921	462	1	here	here	ADV
ejpam-5921	462	2	,	,	PUNCT
ejpam-5921	462	3	we	we	PRON
ejpam-5921	462	4	use	use	VERB
ejpam-5921	462	5	the	the	DET
ejpam-5921	462	6	simulated	simulate	VERB
ejpam-5921	462	7	bivariate	bivariate	ADJ
ejpam-5921	462	8	data	datum	NOUN
ejpam-5921	462	9	from	from	ADP
ejpam-5921	462	10	the	the	DET
ejpam-5921	462	11	study	study	NOUN
ejpam-5921	462	12	of	of	ADP
ejpam-5921	462	13	lakibul	lakibul	PROPN
ejpam-5921	462	14	,	,	PUNCT
ejpam-5921	462	15	polestico	polestico	NOUN
ejpam-5921	462	16	and	and	CCONJ
ejpam-5921	462	17	supe	supe	PROPN
ejpam-5921	463	1	[	[	X
ejpam-5921	463	2	12	12	NUM
ejpam-5921	463	3	]	]	PUNCT
ejpam-5921	463	4	.	.	PUNCT
ejpam-5921	464	1	this	this	DET
ejpam-5921	464	2	bivariate	bivariate	ADJ
ejpam-5921	464	3	data	datum	NOUN
ejpam-5921	464	4	has	have	VERB
ejpam-5921	464	5	the	the	DET
ejpam-5921	464	6	following	follow	VERB
ejpam-5921	464	7	property	property	NOUN
ejpam-5921	464	8	:	:	PUNCT
ejpam-5921	464	9	x	x	X
ejpam-5921	464	10	and	and	CCONJ
ejpam-5921	464	11	y	y	PROPN
ejpam-5921	464	12	have	have	VERB
ejpam-5921	464	13	bathtub	bathtub	NOUN
ejpam-5921	464	14	shapes	shape	NOUN
ejpam-5921	464	15	.	.	PUNCT
ejpam-5921	465	1	it	it	PRON
ejpam-5921	465	2	was	be	AUX
ejpam-5921	465	3	generated	generate	VERB
ejpam-5921	465	4	from	from	ADP
ejpam-5921	465	5	the	the	DET
ejpam-5921	465	6	bivariate	bivariate	ADJ
ejpam-5921	465	7	kumaraswamy	kumaraswamy	ADJ
ejpam-5921	465	8	distribution	distribution	NOUN
ejpam-5921	465	9	of	of	ADP
ejpam-5921	465	10	lakibul	lakibul	PROPN
ejpam-5921	465	11	,	,	PUNCT
ejpam-5921	465	12	polestico	polestico	NOUN
ejpam-5921	465	13	and	and	CCONJ
ejpam-5921	465	14	supe	supe	PROPN
ejpam-5921	466	1	[	[	X
ejpam-5921	466	2	12	12	NUM
ejpam-5921	466	3	]	]	PUNCT
ejpam-5921	466	4	,	,	PUNCT
ejpam-5921	466	5	with	with	ADP
ejpam-5921	466	6	a	a	DET
ejpam-5921	466	7	=	=	SYM
ejpam-5921	466	8	0.5	0.5	NUM
ejpam-5921	466	9	and	and	CCONJ
ejpam-5921	466	10	b	b	NOUN
ejpam-5921	466	11	=	=	SYM
ejpam-5921	466	12	0.5	0.5	NUM
ejpam-5921	466	13	.	.	PUNCT
ejpam-5921	467	1	the	the	DET
ejpam-5921	467	2	following	follow	VERB
ejpam-5921	467	3	figures	figure	NOUN
ejpam-5921	467	4	show	show	VERB
ejpam-5921	467	5	the	the	DET
ejpam-5921	467	6	joint	joint	ADJ
ejpam-5921	467	7	and	and	CCONJ
ejpam-5921	467	8	marginal	marginal	ADJ
ejpam-5921	467	9	distributions	distribution	NOUN
ejpam-5921	467	10	of	of	ADP
ejpam-5921	467	11	x	x	X
ejpam-5921	467	12	and	and	CCONJ
ejpam-5921	467	13	y	y	PROPN
ejpam-5921	467	14	of	of	ADP
ejpam-5921	467	15	the	the	DET
ejpam-5921	467	16	said	said	ADJ
ejpam-5921	467	17	bivariate	bivariate	ADJ
ejpam-5921	467	18	simulated	simulated	ADJ
ejpam-5921	467	19	data	datum	NOUN
ejpam-5921	467	20	.	.	PUNCT
ejpam-5921	468	1	(	(	PUNCT
ejpam-5921	468	2	a	a	X
ejpam-5921	468	3	)	)	PUNCT
ejpam-5921	468	4	(	(	PUNCT
ejpam-5921	468	5	b	b	X
ejpam-5921	468	6	)	)	PUNCT
ejpam-5921	468	7	(	(	PUNCT
ejpam-5921	468	8	c	c	X
ejpam-5921	468	9	)	)	PUNCT
ejpam-5921	468	10	figure	figure	NOUN
ejpam-5921	468	11	5	5	NUM
ejpam-5921	468	12	:	:	PUNCT
ejpam-5921	468	13	histogram	histogram	NOUN
ejpam-5921	468	14	plot	plot	NOUN
ejpam-5921	468	15	of	of	ADP
ejpam-5921	468	16	the	the	DET
ejpam-5921	468	17	simulated	simulate	VERB
ejpam-5921	468	18	data	datum	NOUN
ejpam-5921	468	19	:	:	PUNCT
ejpam-5921	468	20	(	(	PUNCT
ejpam-5921	468	21	a	a	X
ejpam-5921	468	22	)	)	PUNCT
ejpam-5921	468	23	for	for	ADP
ejpam-5921	468	24	variable	variable	ADJ
ejpam-5921	468	25	x	x	NOUN
ejpam-5921	468	26	;	;	PUNCT
ejpam-5921	468	27	(	(	PUNCT
ejpam-5921	468	28	b	b	NOUN
ejpam-5921	468	29	)	)	PUNCT
ejpam-5921	468	30	for	for	ADP
ejpam-5921	468	31	variables	variable	NOUN
ejpam-5921	468	32	x	x	PUNCT
ejpam-5921	468	33	and	and	CCONJ
ejpam-5921	468	34	y	y	PROPN
ejpam-5921	468	35	;	;	PUNCT
ejpam-5921	468	36	and	and	CCONJ
ejpam-5921	468	37	(	(	PUNCT
ejpam-5921	468	38	c	c	X
ejpam-5921	468	39	)	)	PUNCT
ejpam-5921	468	40	for	for	ADP
ejpam-5921	468	41	variable	variable	ADJ
ejpam-5921	468	42	y	y	PROPN
ejpam-5921	468	43	.	.	PUNCT
ejpam-5921	469	1	in	in	ADP
ejpam-5921	469	2	the	the	DET
ejpam-5921	469	3	analysis	analysis	NOUN
ejpam-5921	469	4	,	,	PUNCT
ejpam-5921	469	5	we	we	PRON
ejpam-5921	469	6	use	use	VERB
ejpam-5921	469	7	the	the	DET
ejpam-5921	469	8	r	r	NOUN
ejpam-5921	469	9	-	-	PUNCT
ejpam-5921	469	10	package	package	NOUN
ejpam-5921	469	11	”	"	PUNCT
ejpam-5921	469	12	bbmle	bbmle	NOUN
ejpam-5921	469	13	”	"	PUNCT
ejpam-5921	469	14	to	to	PART
ejpam-5921	469	15	compute	compute	VERB
ejpam-5921	469	16	the	the	DET
ejpam-5921	469	17	maximum	maximum	ADJ
ejpam-5921	469	18	likelihood	likelihood	PROPN
ejpam-5921	469	19	i.	i.	PROPN
ejpam-5921	469	20	a.	a.	PROPN
ejpam-5921	469	21	lakibul	lakibul	PROPN
ejpam-5921	469	22	,	,	PUNCT
ejpam-5921	469	23	d.	d.	PROPN
ejpam-5921	469	24	l.	l.	PROPN
ejpam-5921	469	25	polestico	polestico	PROPN
ejpam-5921	469	26	,	,	PUNCT
ejpam-5921	469	27	a.	a.	PROPN
ejpam-5921	469	28	p.	p.	NOUN
ejpam-5921	469	29	supe	supe	PROPN
ejpam-5921	469	30	/	/	SYM
ejpam-5921	469	31	eur	eur	PROPN
ejpam-5921	469	32	.	.	PUNCT
ejpam-5921	470	1	j.	j.	PROPN
ejpam-5921	470	2	pure	pure	PROPN
ejpam-5921	470	3	appl	appl	PROPN
ejpam-5921	470	4	.	.	PROPN
ejpam-5921	470	5	math	math	PROPN
ejpam-5921	470	6	,	,	PUNCT
ejpam-5921	470	7	18	18	NUM
ejpam-5921	470	8	(	(	PUNCT
ejpam-5921	470	9	3	3	NUM
ejpam-5921	470	10	)	)	PUNCT
ejpam-5921	470	11	(	(	PUNCT
ejpam-5921	470	12	2025	2025	NUM
ejpam-5921	470	13	)	)	PUNCT
ejpam-5921	470	14	,	,	PUNCT
ejpam-5921	470	15	5921	5921	NUM
ejpam-5921	470	16	22	22	NUM
ejpam-5921	470	17	of	of	ADP
ejpam-5921	470	18	24	24	NUM
ejpam-5921	470	19	estimates	estimate	NOUN
ejpam-5921	470	20	of	of	ADP
ejpam-5921	470	21	the	the	DET
ejpam-5921	470	22	parameters	parameter	NOUN
ejpam-5921	470	23	of	of	ADP
ejpam-5921	470	24	the	the	DET
ejpam-5921	470	25	proposed	propose	VERB
ejpam-5921	470	26	ρ	ρ	PROPN
ejpam-5921	470	27	besu	besu	NOUN
ejpam-5921	470	28	and	and	CCONJ
ejpam-5921	470	29	besu	besu	NOUN
ejpam-5921	470	30	distributions	distribution	NOUN
ejpam-5921	470	31	.	.	PUNCT
ejpam-5921	471	1	in	in	ADP
ejpam-5921	471	2	addition	addition	NOUN
ejpam-5921	471	3	,	,	PUNCT
ejpam-5921	471	4	the	the	DET
ejpam-5921	471	5	akaike	akaike	ADJ
ejpam-5921	471	6	information	information	NOUN
ejpam-5921	471	7	criterion	criterion	NOUN
ejpam-5921	471	8	(	(	PUNCT
ejpam-5921	471	9	aic	aic	PROPN
ejpam-5921	471	10	)	)	PUNCT
ejpam-5921	471	11	and	and	CCONJ
ejpam-5921	471	12	bayesian	bayesian	NOUN
ejpam-5921	471	13	information	information	NOUN
ejpam-5921	471	14	criterion	criterion	NOUN
ejpam-5921	471	15	(	(	PUNCT
ejpam-5921	471	16	bic	bic	PROPN
ejpam-5921	471	17	)	)	PUNCT
ejpam-5921	471	18	are	be	AUX
ejpam-5921	471	19	used	use	VERB
ejpam-5921	471	20	to	to	PART
ejpam-5921	471	21	assess	assess	VERB
ejpam-5921	471	22	and	and	CCONJ
ejpam-5921	471	23	compare	compare	VERB
ejpam-5921	471	24	the	the	DET
ejpam-5921	471	25	performance	performance	NOUN
ejpam-5921	471	26	of	of	ADP
ejpam-5921	471	27	the	the	DET
ejpam-5921	471	28	proposed	propose	VERB
ejpam-5921	471	29	generalized	generalize	VERB
ejpam-5921	471	30	bivariate	bivariate	ADJ
ejpam-5921	471	31	distributions	distribution	NOUN
ejpam-5921	471	32	.	.	PUNCT
ejpam-5921	472	1	table	table	NOUN
ejpam-5921	472	2	2	2	NUM
ejpam-5921	472	3	:	:	PUNCT
ejpam-5921	472	4	estimates	estimate	NOUN
ejpam-5921	472	5	and	and	CCONJ
ejpam-5921	472	6	some	some	DET
ejpam-5921	472	7	diagnostic	diagnostic	ADJ
ejpam-5921	472	8	values	value	NOUN
ejpam-5921	472	9	of	of	ADP
ejpam-5921	472	10	the	the	DET
ejpam-5921	472	11	fitted	fit	VERB
ejpam-5921	472	12	models	model	NOUN
ejpam-5921	472	13	for	for	ADP
ejpam-5921	472	14	the	the	DET
ejpam-5921	472	15	simulated	simulate	VERB
ejpam-5921	472	16	dataset	dataset	NOUN
ejpam-5921	472	17	.	.	PUNCT
ejpam-5921	473	1	distribution	distribution	NOUN
ejpam-5921	473	2	estimate	estimate	VERB
ejpam-5921	473	3	std.error	std.error	NOUN
ejpam-5921	473	4	−2loglik	−2loglik	NOUN
ejpam-5921	473	5	aic	aic	PROPN
ejpam-5921	473	6	bic	bic	PROPN
ejpam-5921	473	7	ρ−besu	ρ−besu	PROPN
ejpam-5921	473	8	λ̂	λ̂	X
ejpam-5921	473	9	=	=	SYM
ejpam-5921	473	10	0.4891090	0.4891090	NUM
ejpam-5921	473	11	0.0142492	0.0142492	NUM
ejpam-5921	473	12	-2724.289	-2724.289	PUNCT
ejpam-5921	474	1	-2720.289	-2720.289	PUNCT
ejpam-5921	474	2	-2707.255	-2707.255	PUNCT
ejpam-5921	474	3	ρ̂	ρ̂	NUM
ejpam-5921	474	4	=	=	SYM
ejpam-5921	475	1	0.0953629	0.0953629	NUM
ejpam-5921	475	2	0.0055758	0.0055758	NUM
ejpam-5921	475	3	besu	besu	NOUN
ejpam-5921	475	4	λ̂	λ̂	X
ejpam-5921	475	5	=	=	PUNCT
ejpam-5921	476	1	0.489109	0.489109	NUM
ejpam-5921	476	2	0.014249	0.014249	NUM
ejpam-5921	477	1	2243.733	2243.733	NUM
ejpam-5921	477	2	2245.733	2245.733	NUM
ejpam-5921	477	3	2252.25	2252.25	NUM
ejpam-5921	477	4	table	table	NOUN
ejpam-5921	477	5	2	2	NUM
ejpam-5921	477	6	shows	show	VERB
ejpam-5921	477	7	some	some	DET
ejpam-5921	477	8	diagnostic	diagnostic	ADJ
ejpam-5921	477	9	statistics	statistic	NOUN
ejpam-5921	477	10	and	and	CCONJ
ejpam-5921	477	11	maximum	maximum	ADJ
ejpam-5921	477	12	likelihood	likelihood	NOUN
ejpam-5921	477	13	estimates	estimate	NOUN
ejpam-5921	477	14	of	of	ADP
ejpam-5921	477	15	the	the	DET
ejpam-5921	477	16	fitted	fit	VERB
ejpam-5921	477	17	models	model	NOUN
ejpam-5921	477	18	for	for	ADP
ejpam-5921	477	19	the	the	DET
ejpam-5921	477	20	simulated	simulate	VERB
ejpam-5921	477	21	dataset	dataset	NOUN
ejpam-5921	477	22	.	.	PUNCT
ejpam-5921	478	1	it	it	PRON
ejpam-5921	478	2	is	be	AUX
ejpam-5921	478	3	observed	observe	VERB
ejpam-5921	478	4	that	that	SCONJ
ejpam-5921	478	5	the	the	DET
ejpam-5921	478	6	ρ	ρ	PROPN
ejpam-5921	478	7	besu	besu	NOUN
ejpam-5921	478	8	distribution	distribution	NOUN
ejpam-5921	478	9	has	have	VERB
ejpam-5921	478	10	smaller	small	ADJ
ejpam-5921	478	11	values	value	NOUN
ejpam-5921	478	12	of	of	ADP
ejpam-5921	478	13	the	the	DET
ejpam-5921	478	14	aic	aic	PROPN
ejpam-5921	478	15	and	and	CCONJ
ejpam-5921	478	16	bic	bic	PROPN
ejpam-5921	478	17	than	than	ADP
ejpam-5921	478	18	the	the	DET
ejpam-5921	478	19	besu	besu	NOUN
ejpam-5921	478	20	distribution	distribution	NOUN
ejpam-5921	478	21	.	.	PUNCT
ejpam-5921	479	1	thus	thus	ADV
ejpam-5921	479	2	,	,	PUNCT
ejpam-5921	479	3	the	the	DET
ejpam-5921	479	4	ρ	ρ	PROPN
ejpam-5921	479	5	besu	besu	NOUN
ejpam-5921	479	6	distribution	distribution	NOUN
ejpam-5921	479	7	provides	provide	VERB
ejpam-5921	479	8	a	a	DET
ejpam-5921	479	9	better	well	ADJ
ejpam-5921	479	10	fit	fit	NOUN
ejpam-5921	479	11	for	for	ADP
ejpam-5921	479	12	this	this	DET
ejpam-5921	479	13	simulated	simulate	VERB
ejpam-5921	479	14	data	datum	NOUN
ejpam-5921	479	15	than	than	ADP
ejpam-5921	479	16	the	the	DET
ejpam-5921	479	17	besu	besu	NOUN
ejpam-5921	479	18	distribution	distribution	NOUN
ejpam-5921	479	19	.	.	PUNCT
ejpam-5921	480	1	8	8	X
ejpam-5921	480	2	.	.	X
ejpam-5921	480	3	conclusions	conclusion	NOUN
ejpam-5921	480	4	and	and	CCONJ
ejpam-5921	480	5	recommendations	recommendation	NOUN
ejpam-5921	480	6	in	in	ADP
ejpam-5921	480	7	this	this	DET
ejpam-5921	480	8	paper	paper	NOUN
ejpam-5921	480	9	,	,	PUNCT
ejpam-5921	480	10	we	we	PRON
ejpam-5921	480	11	have	have	AUX
ejpam-5921	480	12	derived	derive	VERB
ejpam-5921	480	13	the	the	DET
ejpam-5921	480	14	generalized	generalized	ADJ
ejpam-5921	480	15	version	version	NOUN
ejpam-5921	480	16	of	of	ADP
ejpam-5921	480	17	the	the	DET
ejpam-5921	480	18	bivariate	bivariate	ADJ
ejpam-5921	480	19	extended	extend	VERB
ejpam-5921	480	20	standard	standard	ADJ
ejpam-5921	480	21	u	u	ADJ
ejpam-5921	480	22	-	-	ADJ
ejpam-5921	480	23	quadratic	quadratic	ADJ
ejpam-5921	480	24	distribution	distribution	NOUN
ejpam-5921	480	25	,	,	PUNCT
ejpam-5921	480	26	referred	refer	VERB
ejpam-5921	480	27	to	to	ADP
ejpam-5921	480	28	as	as	ADP
ejpam-5921	480	29	the	the	DET
ejpam-5921	480	30	ρ	ρ	NOUN
ejpam-5921	480	31	-	-	PUNCT
ejpam-5921	480	32	bivariate	bivariate	ADJ
ejpam-5921	480	33	extended	extended	ADJ
ejpam-5921	480	34	standard	standard	ADJ
ejpam-5921	480	35	uquadratic	uquadratic	ADJ
ejpam-5921	480	36	(	(	PUNCT
ejpam-5921	480	37	ρ	ρ	NOUN
ejpam-5921	480	38	-	-	PUNCT
ejpam-5921	480	39	besu	besu	ADJ
ejpam-5921	480	40	)	)	PUNCT
ejpam-5921	480	41	distribution	distribution	NOUN
ejpam-5921	480	42	.	.	PUNCT
ejpam-5921	481	1	several	several	ADJ
ejpam-5921	481	2	important	important	ADJ
ejpam-5921	481	3	properties	property	NOUN
ejpam-5921	481	4	of	of	ADP
ejpam-5921	481	5	the	the	DET
ejpam-5921	481	6	proposed	propose	VERB
ejpam-5921	481	7	ρ	ρ	PROPN
ejpam-5921	481	8	-	-	PUNCT
ejpam-5921	481	9	besu	besu	ADJ
ejpam-5921	481	10	distribution	distribution	NOUN
ejpam-5921	481	11	were	be	AUX
ejpam-5921	481	12	computed	compute	VERB
ejpam-5921	481	13	,	,	PUNCT
ejpam-5921	481	14	including	include	VERB
ejpam-5921	481	15	the	the	DET
ejpam-5921	481	16	marginal	marginal	ADJ
ejpam-5921	481	17	and	and	CCONJ
ejpam-5921	481	18	conditional	conditional	ADJ
ejpam-5921	481	19	distributions	distribution	NOUN
ejpam-5921	481	20	,	,	PUNCT
ejpam-5921	481	21	conditional	conditional	ADJ
ejpam-5921	481	22	moments	moment	NOUN
ejpam-5921	481	23	,	,	PUNCT
ejpam-5921	481	24	conditional	conditional	ADJ
ejpam-5921	481	25	mean	mean	NOUN
ejpam-5921	481	26	,	,	PUNCT
ejpam-5921	481	27	conditional	conditional	ADJ
ejpam-5921	481	28	variance	variance	NOUN
ejpam-5921	481	29	,	,	PUNCT
ejpam-5921	481	30	product	product	NOUN
ejpam-5921	481	31	and	and	CCONJ
ejpam-5921	481	32	ratio	ratio	NOUN
ejpam-5921	481	33	moments	moment	NOUN
ejpam-5921	481	34	,	,	PUNCT
ejpam-5921	481	35	pearson	pearson	PROPN
ejpam-5921	481	36	correlation	correlation	NOUN
ejpam-5921	481	37	coefficient	coefficient	NOUN
ejpam-5921	481	38	,	,	PUNCT
ejpam-5921	481	39	joint	joint	ADJ
ejpam-5921	481	40	moment	moment	NOUN
ejpam-5921	481	41	generating	generate	VERB
ejpam-5921	481	42	function	function	NOUN
ejpam-5921	481	43	,	,	PUNCT
ejpam-5921	481	44	kendall	kendall	PROPN
ejpam-5921	481	45	’s	’s	PART
ejpam-5921	481	46	tau	tau	PROPN
ejpam-5921	481	47	coefficient	coefficient	NOUN
ejpam-5921	481	48	,	,	PUNCT
ejpam-5921	481	49	spearman	spearman	NOUN
ejpam-5921	481	50	’s	’s	PART
ejpam-5921	481	51	rho	rho	ADJ
ejpam-5921	481	52	coefficient	coefficient	NOUN
ejpam-5921	481	53	,	,	PUNCT
ejpam-5921	481	54	and	and	CCONJ
ejpam-5921	481	55	the	the	DET
ejpam-5921	481	56	stress	stress	NOUN
ejpam-5921	481	57	-	-	PUNCT
ejpam-5921	481	58	strength	strength	NOUN
ejpam-5921	481	59	parameter	parameter	NOUN
ejpam-5921	481	60	.	.	PUNCT
ejpam-5921	482	1	maximum	maximum	ADJ
ejpam-5921	482	2	likelihood	likelihood	NOUN
ejpam-5921	482	3	estimation	estimation	NOUN
ejpam-5921	482	4	was	be	AUX
ejpam-5921	482	5	applied	apply	VERB
ejpam-5921	482	6	to	to	PART
ejpam-5921	482	7	estimate	estimate	VERB
ejpam-5921	482	8	the	the	DET
ejpam-5921	482	9	parameters	parameter	NOUN
ejpam-5921	482	10	of	of	ADP
ejpam-5921	482	11	the	the	DET
ejpam-5921	482	12	ρ	ρ	ADJ
ejpam-5921	482	13	-	-	PUNCT
ejpam-5921	482	14	besu	besu	NOUN
ejpam-5921	482	15	distribution	distribution	NOUN
ejpam-5921	482	16	,	,	PUNCT
ejpam-5921	482	17	and	and	CCONJ
ejpam-5921	482	18	a	a	DET
ejpam-5921	482	19	simulation	simulation	NOUN
ejpam-5921	482	20	study	study	NOUN
ejpam-5921	482	21	was	be	AUX
ejpam-5921	482	22	conducted	conduct	VERB
ejpam-5921	482	23	to	to	PART
ejpam-5921	482	24	assess	assess	VERB
ejpam-5921	482	25	the	the	DET
ejpam-5921	482	26	behavior	behavior	NOUN
ejpam-5921	482	27	of	of	ADP
ejpam-5921	482	28	the	the	DET
ejpam-5921	482	29	parameter	parameter	NOUN
ejpam-5921	482	30	estimates	estimate	NOUN
ejpam-5921	482	31	.	.	PUNCT
ejpam-5921	483	1	the	the	DET
ejpam-5921	483	2	results	result	NOUN
ejpam-5921	483	3	of	of	ADP
ejpam-5921	483	4	the	the	DET
ejpam-5921	483	5	simulation	simulation	NOUN
ejpam-5921	483	6	study	study	NOUN
ejpam-5921	483	7	demonstrated	demonstrate	VERB
ejpam-5921	483	8	that	that	SCONJ
ejpam-5921	483	9	the	the	DET
ejpam-5921	483	10	maximum	maximum	ADJ
ejpam-5921	483	11	likelihood	likelihood	NOUN
ejpam-5921	483	12	estimate	estimate	NOUN
ejpam-5921	483	13	of	of	ADP
ejpam-5921	483	14	the	the	DET
ejpam-5921	483	15	parameter	parameter	NOUN
ejpam-5921	483	16	of	of	ADP
ejpam-5921	483	17	the	the	DET
ejpam-5921	483	18	ρ	ρ	ADJ
ejpam-5921	483	19	-	-	PUNCT
ejpam-5921	483	20	besu	besu	ADJ
ejpam-5921	483	21	distribution	distribution	NOUN
ejpam-5921	483	22	is	be	AUX
ejpam-5921	483	23	consistent	consistent	ADJ
ejpam-5921	483	24	.	.	PUNCT
ejpam-5921	484	1	furthermore	furthermore	ADV
ejpam-5921	484	2	,	,	PUNCT
ejpam-5921	484	3	it	it	PRON
ejpam-5921	484	4	was	be	AUX
ejpam-5921	484	5	observed	observe	VERB
ejpam-5921	484	6	that	that	SCONJ
ejpam-5921	484	7	the	the	DET
ejpam-5921	484	8	proposed	propose	VERB
ejpam-5921	484	9	ρ	ρ	PROPN
ejpam-5921	484	10	-	-	PUNCT
ejpam-5921	484	11	besu	besu	ADJ
ejpam-5921	484	12	distribution	distribution	NOUN
ejpam-5921	484	13	provides	provide	VERB
ejpam-5921	484	14	a	a	DET
ejpam-5921	484	15	better	well	ADJ
ejpam-5921	484	16	fit	fit	NOUN
ejpam-5921	484	17	for	for	ADP
ejpam-5921	484	18	the	the	DET
ejpam-5921	484	19	simulated	simulate	VERB
ejpam-5921	484	20	bivariate	bivariate	ADJ
ejpam-5921	484	21	dataset	dataset	NOUN
ejpam-5921	484	22	compared	compare	VERB
ejpam-5921	484	23	to	to	ADP
ejpam-5921	484	24	the	the	DET
ejpam-5921	484	25	standard	standard	ADJ
ejpam-5921	484	26	besu	besu	NOUN
ejpam-5921	484	27	distribution	distribution	NOUN
ejpam-5921	484	28	,	,	PUNCT
ejpam-5921	484	29	highlighting	highlight	VERB
ejpam-5921	484	30	its	its	PRON
ejpam-5921	484	31	potential	potential	NOUN
ejpam-5921	484	32	as	as	ADP
ejpam-5921	484	33	a	a	DET
ejpam-5921	484	34	more	more	ADV
ejpam-5921	484	35	flexible	flexible	ADJ
ejpam-5921	484	36	model	model	NOUN
ejpam-5921	484	37	for	for	ADP
ejpam-5921	484	38	bivariate	bivariate	ADJ
ejpam-5921	484	39	data	datum	NOUN
ejpam-5921	484	40	.	.	PUNCT
ejpam-5921	485	1	while	while	SCONJ
ejpam-5921	485	2	the	the	DET
ejpam-5921	485	3	ρ	ρ	ADJ
ejpam-5921	485	4	-	-	PUNCT
ejpam-5921	485	5	besu	besu	ADJ
ejpam-5921	485	6	distribution	distribution	NOUN
ejpam-5921	485	7	offers	offer	VERB
ejpam-5921	485	8	notable	notable	ADJ
ejpam-5921	485	9	improvements	improvement	NOUN
ejpam-5921	485	10	,	,	PUNCT
ejpam-5921	485	11	it	it	PRON
ejpam-5921	485	12	is	be	AUX
ejpam-5921	485	13	important	important	ADJ
ejpam-5921	485	14	to	to	PART
ejpam-5921	485	15	acknowledge	acknowledge	VERB
ejpam-5921	485	16	some	some	DET
ejpam-5921	485	17	potential	potential	ADJ
ejpam-5921	485	18	limitations	limitation	NOUN
ejpam-5921	485	19	.	.	PUNCT
ejpam-5921	486	1	for	for	ADP
ejpam-5921	486	2	instance	instance	NOUN
ejpam-5921	486	3	,	,	PUNCT
ejpam-5921	486	4	the	the	DET
ejpam-5921	486	5	current	current	ADJ
ejpam-5921	486	6	study	study	NOUN
ejpam-5921	486	7	focuses	focus	VERB
ejpam-5921	486	8	on	on	ADP
ejpam-5921	486	9	a	a	DET
ejpam-5921	486	10	specific	specific	ADJ
ejpam-5921	486	11	class	class	NOUN
ejpam-5921	486	12	of	of	ADP
ejpam-5921	486	13	bivariate	bivariate	ADJ
ejpam-5921	486	14	distributions	distribution	NOUN
ejpam-5921	486	15	,	,	PUNCT
ejpam-5921	486	16	and	and	CCONJ
ejpam-5921	486	17	there	there	PRON
ejpam-5921	486	18	may	may	AUX
ejpam-5921	486	19	be	be	AUX
ejpam-5921	486	20	alternative	alternative	ADJ
ejpam-5921	486	21	distributions	distribution	NOUN
ejpam-5921	486	22	or	or	CCONJ
ejpam-5921	486	23	estimation	estimation	NOUN
ejpam-5921	486	24	techniques	technique	NOUN
ejpam-5921	486	25	that	that	PRON
ejpam-5921	486	26	could	could	AUX
ejpam-5921	486	27	provide	provide	VERB
ejpam-5921	486	28	additional	additional	ADJ
ejpam-5921	486	29	benefits	benefit	NOUN
ejpam-5921	486	30	,	,	PUNCT
ejpam-5921	486	31	particularly	particularly	ADV
ejpam-5921	486	32	in	in	ADP
ejpam-5921	486	33	cases	case	NOUN
ejpam-5921	486	34	with	with	ADP
ejpam-5921	486	35	more	more	ADJ
ejpam-5921	486	36	complex	complex	ADJ
ejpam-5921	486	37	dependence	dependence	NOUN
ejpam-5921	486	38	structures	structure	NOUN
ejpam-5921	486	39	.	.	PUNCT
ejpam-5921	487	1	future	future	ADJ
ejpam-5921	487	2	research	research	NOUN
ejpam-5921	487	3	could	could	AUX
ejpam-5921	487	4	explore	explore	VERB
ejpam-5921	487	5	extensions	extension	NOUN
ejpam-5921	487	6	of	of	ADP
ejpam-5921	487	7	the	the	DET
ejpam-5921	487	8	ρ	ρ	ADJ
ejpam-5921	487	9	-	-	PUNCT
ejpam-5921	487	10	besu	besu	ADJ
ejpam-5921	487	11	distribution	distribution	NOUN
ejpam-5921	487	12	to	to	ADP
ejpam-5921	487	13	higher	high	ADJ
ejpam-5921	487	14	dimensions	dimension	NOUN
ejpam-5921	487	15	,	,	PUNCT
ejpam-5921	487	16	which	which	PRON
ejpam-5921	487	17	would	would	AUX
ejpam-5921	487	18	enhance	enhance	VERB
ejpam-5921	487	19	its	its	PRON
ejpam-5921	487	20	applicability	applicability	NOUN
ejpam-5921	487	21	to	to	PART
ejpam-5921	487	22	multivariate	multivariate	VERB
ejpam-5921	487	23	data	datum	NOUN
ejpam-5921	487	24	.	.	PUNCT
ejpam-5921	488	1	furthermore	furthermore	ADV
ejpam-5921	488	2	,	,	PUNCT
ejpam-5921	488	3	alternative	alternative	ADJ
ejpam-5921	488	4	estimation	estimation	NOUN
ejpam-5921	488	5	methods	method	NOUN
ejpam-5921	488	6	,	,	PUNCT
ejpam-5921	488	7	such	such	ADJ
ejpam-5921	488	8	as	as	ADP
ejpam-5921	488	9	bayesian	bayesian	NOUN
ejpam-5921	488	10	inference	inference	NOUN
ejpam-5921	488	11	or	or	CCONJ
ejpam-5921	488	12	the	the	DET
ejpam-5921	488	13	use	use	NOUN
ejpam-5921	488	14	of	of	ADP
ejpam-5921	488	15	copulas	copula	NOUN
ejpam-5921	488	16	,	,	PUNCT
ejpam-5921	488	17	could	could	AUX
ejpam-5921	488	18	be	be	AUX
ejpam-5921	488	19	considered	consider	VERB
ejpam-5921	488	20	to	to	PART
ejpam-5921	488	21	better	well	ADV
ejpam-5921	488	22	account	account	VERB
ejpam-5921	488	23	for	for	ADP
ejpam-5921	488	24	varying	vary	VERB
ejpam-5921	488	25	dependence	dependence	NOUN
ejpam-5921	488	26	structures	structure	NOUN
ejpam-5921	488	27	in	in	ADP
ejpam-5921	488	28	different	different	ADJ
ejpam-5921	488	29	applications	application	NOUN
ejpam-5921	488	30	.	.	PUNCT
ejpam-5921	489	1	in	in	ADP
ejpam-5921	489	2	addition	addition	NOUN
ejpam-5921	489	3	to	to	ADP
ejpam-5921	489	4	these	these	DET
ejpam-5921	489	5	theoretical	theoretical	ADJ
ejpam-5921	489	6	advancements	advancement	NOUN
ejpam-5921	489	7	,	,	PUNCT
ejpam-5921	489	8	we	we	PRON
ejpam-5921	489	9	recommend	recommend	VERB
ejpam-5921	489	10	further	further	ADJ
ejpam-5921	489	11	investigations	investigation	NOUN
ejpam-5921	489	12	using	use	VERB
ejpam-5921	489	13	the	the	DET
ejpam-5921	489	14	ρ	ρ	ADJ
ejpam-5921	489	15	-	-	PUNCT
ejpam-5921	489	16	besu	besu	ADJ
ejpam-5921	489	17	distribution	distribution	NOUN
ejpam-5921	489	18	to	to	PART
ejpam-5921	489	19	model	model	VERB
ejpam-5921	489	20	the	the	DET
ejpam-5921	489	21	failure	failure	NOUN
ejpam-5921	489	22	rates	rate	NOUN
ejpam-5921	489	23	of	of	ADP
ejpam-5921	489	24	two	two	NUM
ejpam-5921	489	25	related	related	ADJ
ejpam-5921	489	26	components	component	NOUN
ejpam-5921	489	27	in	in	ADP
ejpam-5921	489	28	a	a	DET
ejpam-5921	489	29	system	system	NOUN
ejpam-5921	489	30	or	or	CCONJ
ejpam-5921	489	31	to	to	PART
ejpam-5921	489	32	model	model	VERB
ejpam-5921	489	33	the	the	DET
ejpam-5921	489	34	lifetimes	lifetime	NOUN
ejpam-5921	489	35	of	of	ADP
ejpam-5921	489	36	two	two	NUM
ejpam-5921	489	37	related	relate	VERB
ejpam-5921	489	38	electronic	electronic	ADJ
ejpam-5921	489	39	i.	i.	NOUN
ejpam-5921	489	40	a.	a.	PROPN
ejpam-5921	489	41	lakibul	lakibul	PROPN
ejpam-5921	489	42	,	,	PUNCT
ejpam-5921	489	43	d.	d.	PROPN
ejpam-5921	489	44	l.	l.	PROPN
ejpam-5921	489	45	polestico	polestico	PROPN
ejpam-5921	489	46	,	,	PUNCT
ejpam-5921	489	47	a.	a.	PROPN
ejpam-5921	489	48	p.	p.	NOUN
ejpam-5921	489	49	supe	supe	PROPN
ejpam-5921	489	50	/	/	SYM
ejpam-5921	489	51	eur	eur	PROPN
ejpam-5921	489	52	.	.	PUNCT
ejpam-5921	490	1	j.	j.	PROPN
ejpam-5921	490	2	pure	pure	PROPN
ejpam-5921	490	3	appl	appl	PROPN
ejpam-5921	490	4	.	.	PROPN
ejpam-5921	490	5	math	math	PROPN
ejpam-5921	490	6	,	,	PUNCT
ejpam-5921	490	7	18	18	NUM
ejpam-5921	490	8	(	(	PUNCT
ejpam-5921	490	9	3	3	NUM
ejpam-5921	490	10	)	)	PUNCT
ejpam-5921	490	11	(	(	PUNCT
ejpam-5921	490	12	2025	2025	NUM
ejpam-5921	490	13	)	)	PUNCT
ejpam-5921	490	14	,	,	PUNCT
ejpam-5921	490	15	5921	5921	NUM
ejpam-5921	490	16	23	23	NUM
ejpam-5921	490	17	of	of	ADP
ejpam-5921	490	18	24	24	NUM
ejpam-5921	490	19	devices	device	NOUN
ejpam-5921	490	20	,	,	PUNCT
ejpam-5921	490	21	particularly	particularly	ADV
ejpam-5921	490	22	when	when	SCONJ
ejpam-5921	490	23	the	the	DET
ejpam-5921	490	24	failure	failure	NOUN
ejpam-5921	490	25	rates	rate	NOUN
ejpam-5921	490	26	or	or	CCONJ
ejpam-5921	490	27	lifetimes	lifetime	NOUN
ejpam-5921	490	28	exhibit	exhibit	VERB
ejpam-5921	490	29	bathtub	bathtub	NOUN
ejpam-5921	490	30	,	,	PUNCT
ejpam-5921	490	31	inverted	inverted	ADJ
ejpam-5921	490	32	,	,	PUNCT
ejpam-5921	490	33	or	or	CCONJ
ejpam-5921	490	34	constant	constant	ADJ
ejpam-5921	490	35	shapes	shape	NOUN
ejpam-5921	490	36	on	on	ADP
ejpam-5921	490	37	the	the	DET
ejpam-5921	490	38	interval	interval	NOUN
ejpam-5921	491	1	[	[	X
ejpam-5921	491	2	0	0	NUM
ejpam-5921	491	3	,	,	PUNCT
ejpam-5921	491	4	1	1	NUM
ejpam-5921	491	5	]	]	PUNCT
ejpam-5921	491	6	.	.	PUNCT
ejpam-5921	492	1	additionally	additionally	ADV
ejpam-5921	492	2	,	,	PUNCT
ejpam-5921	492	3	future	future	ADJ
ejpam-5921	492	4	studies	study	NOUN
ejpam-5921	492	5	could	could	AUX
ejpam-5921	492	6	consider	consider	VERB
ejpam-5921	492	7	extending	extend	VERB
ejpam-5921	492	8	the	the	DET
ejpam-5921	492	9	ρ	ρ	NOUN
ejpam-5921	492	10	-	-	PUNCT
ejpam-5921	492	11	besu	besu	NOUN
ejpam-5921	492	12	distribution	distribution	NOUN
ejpam-5921	492	13	by	by	ADP
ejpam-5921	492	14	comparing	compare	VERB
ejpam-5921	492	15	it	it	PRON
ejpam-5921	492	16	to	to	ADP
ejpam-5921	492	17	other	other	ADJ
ejpam-5921	492	18	bivariate	bivariate	ADJ
ejpam-5921	492	19	families	family	NOUN
ejpam-5921	492	20	of	of	ADP
ejpam-5921	492	21	distributions	distribution	NOUN
ejpam-5921	492	22	,	,	PUNCT
ejpam-5921	492	23	such	such	ADJ
ejpam-5921	492	24	as	as	ADP
ejpam-5921	492	25	the	the	DET
ejpam-5921	492	26	bivariate	bivariate	ADJ
ejpam-5921	492	27	marshall	marshall	NOUN
ejpam-5921	492	28	-	-	PUNCT
ejpam-5921	492	29	olkin	olkin	NOUN
ejpam-5921	492	30	family	family	NOUN
ejpam-5921	492	31	or	or	CCONJ
ejpam-5921	492	32	copulas	copula	NOUN
ejpam-5921	492	33	,	,	PUNCT
ejpam-5921	492	34	to	to	PART
ejpam-5921	492	35	evaluate	evaluate	VERB
ejpam-5921	492	36	its	its	PRON
ejpam-5921	492	37	performance	performance	NOUN
ejpam-5921	492	38	in	in	ADP
ejpam-5921	492	39	diverse	diverse	ADJ
ejpam-5921	492	40	practical	practical	ADJ
ejpam-5921	492	41	contexts	contexts	NOUN
ejpam-5921	492	42	.	.	PUNCT
ejpam-5921	493	1	acknowledgements	acknowledgement	NOUN
ejpam-5921	493	2	the	the	DET
ejpam-5921	493	3	authors	author	NOUN
ejpam-5921	493	4	are	be	AUX
ejpam-5921	493	5	grateful	grateful	ADJ
ejpam-5921	493	6	to	to	ADP
ejpam-5921	493	7	the	the	DET
ejpam-5921	493	8	anonymous	anonymous	ADJ
ejpam-5921	493	9	referees	referee	NOUN
ejpam-5921	493	10	for	for	ADP
ejpam-5921	493	11	their	their	PRON
ejpam-5921	493	12	valuable	valuable	ADJ
ejpam-5921	493	13	comments	comment	NOUN
ejpam-5921	493	14	and	and	CCONJ
ejpam-5921	493	15	suggestions	suggestion	NOUN
ejpam-5921	493	16	.	.	PUNCT
ejpam-5921	494	1	moreover	moreover	ADV
ejpam-5921	494	2	,	,	PUNCT
ejpam-5921	494	3	idzhar	idzhar	PROPN
ejpam-5921	494	4	a.	a.	NOUN
ejpam-5921	494	5	lakibul	lakibul	PROPN
ejpam-5921	494	6	is	be	AUX
ejpam-5921	494	7	also	also	ADV
ejpam-5921	494	8	grateful	grateful	ADJ
ejpam-5921	494	9	to	to	ADP
ejpam-5921	494	10	the	the	DET
ejpam-5921	494	11	department	department	NOUN
ejpam-5921	494	12	of	of	ADP
ejpam-5921	494	13	science	science	NOUN
ejpam-5921	494	14	and	and	CCONJ
ejpam-5921	494	15	technology	technology	NOUN
ejpam-5921	494	16	accelerated	accelerate	VERB
ejpam-5921	494	17	science	science	NOUN
ejpam-5921	494	18	and	and	CCONJ
ejpam-5921	494	19	technology	technology	NOUN
ejpam-5921	494	20	human	human	ADJ
ejpam-5921	494	21	resource	resource	NOUN
ejpam-5921	494	22	development	development	NOUN
ejpam-5921	494	23	program	program	NOUN
ejpam-5921	494	24	(	(	PUNCT
ejpam-5921	494	25	dost	dost	NOUN
ejpam-5921	494	26	-	-	PUNCT
ejpam-5921	494	27	asthrdp	asthrdp	NOUN
ejpam-5921	494	28	)	)	PUNCT
ejpam-5921	494	29	for	for	ADP
ejpam-5921	494	30	giving	give	VERB
ejpam-5921	494	31	him	he	PRON
ejpam-5921	494	32	financial	financial	ADJ
ejpam-5921	494	33	support	support	NOUN
ejpam-5921	494	34	to	to	PART
ejpam-5921	494	35	study	study	VERB
ejpam-5921	494	36	at	at	ADP
ejpam-5921	494	37	mindanao	mindanao	PROPN
ejpam-5921	494	38	state	state	PROPN
ejpam-5921	494	39	university	university	PROPN
ejpam-5921	494	40	iligan	iligan	PROPN
ejpam-5921	494	41	institute	institute	PROPN
ejpam-5921	494	42	of	of	ADP
ejpam-5921	494	43	technology	technology	PROPN
ejpam-5921	494	44	(	(	PUNCT
ejpam-5921	494	45	msu	msu	PROPN
ejpam-5921	494	46	-	-	PUNCT
ejpam-5921	494	47	iit	iit	NOUN
ejpam-5921	494	48	)	)	PUNCT
ejpam-5921	494	49	.	.	PUNCT
ejpam-5921	495	1	in	in	ADP
ejpam-5921	495	2	addition	addition	NOUN
ejpam-5921	495	3	,	,	PUNCT
ejpam-5921	495	4	this	this	DET
ejpam-5921	495	5	paper	paper	NOUN
ejpam-5921	495	6	is	be	AUX
ejpam-5921	495	7	also	also	ADV
ejpam-5921	495	8	supported	support	VERB
ejpam-5921	495	9	by	by	ADP
ejpam-5921	495	10	the	the	DET
ejpam-5921	495	11	dost	dost	NOUN
ejpam-5921	495	12	-	-	PUNCT
ejpam-5921	495	13	asthrdp	asthrdp	ADJ
ejpam-5921	495	14	,	,	PUNCT
ejpam-5921	495	15	msu	msu	PROPN
ejpam-5921	495	16	-	-	PUNCT
ejpam-5921	495	17	iligan	iligan	PROPN
ejpam-5921	495	18	institute	institute	PROPN
ejpam-5921	495	19	of	of	ADP
ejpam-5921	495	20	technology	technology	PROPN
ejpam-5921	495	21	and	and	CCONJ
ejpam-5921	495	22	the	the	DET
ejpam-5921	495	23	mindanao	mindanao	PROPN
ejpam-5921	495	24	state	state	PROPN
ejpam-5921	495	25	university	university	PROPN
ejpam-5921	495	26	sulu	sulu	PROPN
ejpam-5921	495	27	.	.	PUNCT
ejpam-5921	496	1	references	reference	NOUN
ejpam-5921	496	2	[	[	X
ejpam-5921	496	3	1	1	X
ejpam-5921	496	4	]	]	PUNCT
ejpam-5921	496	5	j.	j.	PROPN
ejpam-5921	496	6	k.	k.	PROPN
ejpam-5921	496	7	filus	filus	PROPN
ejpam-5921	496	8	and	and	CCONJ
ejpam-5921	496	9	l.	l.	PROPN
ejpam-5921	496	10	z.	z.	PROPN
ejpam-5921	496	11	filus	filus	PROPN
ejpam-5921	496	12	.	.	PUNCT
ejpam-5921	497	1	on	on	ADP
ejpam-5921	497	2	some	some	DET
ejpam-5921	497	3	new	new	ADJ
ejpam-5921	497	4	classes	class	NOUN
ejpam-5921	497	5	of	of	ADP
ejpam-5921	497	6	multivariate	multivariate	NOUN
ejpam-5921	497	7	probability	probability	NOUN
ejpam-5921	497	8	distributions	distribution	NOUN
ejpam-5921	497	9	.	.	PUNCT
ejpam-5921	498	1	pakistan	pakistan	PROPN
ejpam-5921	498	2	journal	journal	PROPN
ejpam-5921	498	3	of	of	ADP
ejpam-5921	498	4	statistics	statistic	NOUN
ejpam-5921	498	5	,	,	PUNCT
ejpam-5921	498	6	22:21–42	22:21–42	NUM
ejpam-5921	498	7	,	,	PUNCT
ejpam-5921	498	8	2006	2006	NUM
ejpam-5921	498	9	.	.	PUNCT
ejpam-5921	499	1	[	[	X
ejpam-5921	499	2	2	2	X
ejpam-5921	499	3	]	]	PUNCT
ejpam-5921	499	4	s.	s.	PROPN
ejpam-5921	499	5	shahbaz	shahbaz	PROPN
ejpam-5921	499	6	,	,	PUNCT
ejpam-5921	499	7	m.	m.	PROPN
ejpam-5921	499	8	q.	q.	PROPN
ejpam-5921	499	9	shahbaz	shahbaz	PROPN
ejpam-5921	499	10	,	,	PUNCT
ejpam-5921	499	11	and	and	CCONJ
ejpam-5921	499	12	m.	m.	PROPN
ejpam-5921	499	13	mohsin	mohsin	PROPN
ejpam-5921	499	14	.	.	PUNCT
ejpam-5921	500	1	on	on	ADP
ejpam-5921	500	2	concomitants	concomitant	NOUN
ejpam-5921	500	3	of	of	ADP
ejpam-5921	500	4	order	order	NOUN
ejpam-5921	500	5	statistics	statistic	NOUN
ejpam-5921	500	6	for	for	ADP
ejpam-5921	500	7	bivariate	bivariate	ADJ
ejpam-5921	500	8	pseudo	pseudo	NOUN
ejpam-5921	500	9	exponential	exponential	ADJ
ejpam-5921	500	10	distribution	distribution	NOUN
ejpam-5921	500	11	.	.	PUNCT
ejpam-5921	501	1	world	world	NOUN
ejpam-5921	501	2	applied	apply	VERB
ejpam-5921	501	3	sciences	science	NOUN
ejpam-5921	501	4	journal	journal	NOUN
ejpam-5921	501	5	,	,	PUNCT
ejpam-5921	501	6	6:1151	6:1151	NUM
ejpam-5921	501	7	–	–	PUNCT
ejpam-5921	501	8	1156	1156	NUM
ejpam-5921	501	9	,	,	PUNCT
ejpam-5921	501	10	2009	2009	NUM
ejpam-5921	501	11	.	.	PUNCT
ejpam-5921	502	1	[	[	X
ejpam-5921	502	2	3	3	X
ejpam-5921	502	3	]	]	X
ejpam-5921	502	4	s.	s.	PROPN
ejpam-5921	502	5	shahbaz	shahbaz	PROPN
ejpam-5921	502	6	and	and	CCONJ
ejpam-5921	502	7	m.	m.	PROPN
ejpam-5921	502	8	ahmad	ahmad	PROPN
ejpam-5921	502	9	.	.	PUNCT
ejpam-5921	503	1	concomitants	concomitant	NOUN
ejpam-5921	503	2	of	of	ADP
ejpam-5921	503	3	order	order	NOUN
ejpam-5921	503	4	statistics	statistic	NOUN
ejpam-5921	503	5	for	for	ADP
ejpam-5921	503	6	bivariate	bivariate	ADJ
ejpam-5921	503	7	pseudoweibull	pseudoweibull	ADJ
ejpam-5921	503	8	distribution	distribution	NOUN
ejpam-5921	503	9	.	.	PUNCT
ejpam-5921	504	1	world	world	NOUN
ejpam-5921	504	2	applied	apply	VERB
ejpam-5921	504	3	sciences	science	NOUN
ejpam-5921	504	4	journal	journal	NOUN
ejpam-5921	504	5	,	,	PUNCT
ejpam-5921	504	6	6:1409–1412	6:1409–1412	NUM
ejpam-5921	504	7	,	,	PUNCT
ejpam-5921	504	8	2009	2009	NUM
ejpam-5921	504	9	.	.	PUNCT
ejpam-5921	505	1	[	[	X
ejpam-5921	505	2	4	4	X
ejpam-5921	505	3	]	]	PUNCT
ejpam-5921	505	4	m.	m.	PROPN
ejpam-5921	505	5	q.	q.	PROPN
ejpam-5921	505	6	shahbaz	shahbaz	PROPN
ejpam-5921	505	7	and	and	CCONJ
ejpam-5921	505	8	s.	s.	PROPN
ejpam-5921	505	9	shahbaz	shahbaz	PROPN
ejpam-5921	505	10	.	.	PUNCT
ejpam-5921	506	1	order	order	NOUN
ejpam-5921	506	2	statistics	statistic	NOUN
ejpam-5921	506	3	and	and	CCONJ
ejpam-5921	506	4	concomitants	concomitant	NOUN
ejpam-5921	506	5	of	of	ADP
ejpam-5921	506	6	bivariate	bivariate	ADJ
ejpam-5921	506	7	pseudorayleigh	pseudorayleigh	ADJ
ejpam-5921	506	8	distribution	distribution	NOUN
ejpam-5921	506	9	.	.	PUNCT
ejpam-5921	507	1	world	world	NOUN
ejpam-5921	507	2	applied	apply	VERB
ejpam-5921	507	3	sciences	science	NOUN
ejpam-5921	507	4	journal	journal	NOUN
ejpam-5921	507	5	,	,	PUNCT
ejpam-5921	507	6	7:826–828	7:826–828	NOUN
ejpam-5921	507	7	,	,	PUNCT
ejpam-5921	507	8	2009	2009	NUM
ejpam-5921	507	9	.	.	PUNCT
ejpam-5921	508	1	[	[	X
ejpam-5921	508	2	5	5	NUM
ejpam-5921	508	3	]	]	PUNCT
ejpam-5921	508	4	m.	m.	NOUN
ejpam-5921	508	5	mohsin	mohsin	PROPN
ejpam-5921	508	6	,	,	PUNCT
ejpam-5921	508	7	m.	m.	NOUN
ejpam-5921	508	8	ahmad	ahmad	PROPN
ejpam-5921	508	9	,	,	PUNCT
ejpam-5921	508	10	s.	s.	PROPN
ejpam-5921	508	11	shahbaz	shahbaz	PROPN
ejpam-5921	508	12	,	,	PUNCT
ejpam-5921	508	13	and	and	CCONJ
ejpam-5921	508	14	m.	m.	PROPN
ejpam-5921	508	15	q.	q.	PROPN
ejpam-5921	508	16	shahbaz	shahbaz	PROPN
ejpam-5921	508	17	.	.	PUNCT
ejpam-5921	509	1	concomitants	concomitant	NOUN
ejpam-5921	509	2	of	of	ADP
ejpam-5921	509	3	lower	low	ADJ
ejpam-5921	509	4	records	record	NOUN
ejpam-5921	509	5	for	for	ADP
ejpam-5921	509	6	bivariate	bivariate	ADJ
ejpam-5921	509	7	pseudo	pseudo	NOUN
ejpam-5921	509	8	–	–	PUNCT
ejpam-5921	509	9	inverse	inverse	ADJ
ejpam-5921	509	10	rayleigh	rayleigh	NOUN
ejpam-5921	509	11	distribution	distribution	NOUN
ejpam-5921	509	12	.	.	PUNCT
ejpam-5921	510	1	sci	sci	PROPN
ejpam-5921	510	2	.	.	PUNCT
ejpam-5921	510	3	int	int	PROPN
ejpam-5921	510	4	.	.	PUNCT
ejpam-5921	511	1	(	(	PUNCT
ejpam-5921	511	2	lahore	lahore	NOUN
ejpam-5921	511	3	)	)	PUNCT
ejpam-5921	511	4	,	,	PUNCT
ejpam-5921	511	5	21:21–23	21:21–23	PROPN
ejpam-5921	511	6	,	,	PUNCT
ejpam-5921	511	7	2009	2009	NUM
ejpam-5921	511	8	.	.	PUNCT
ejpam-5921	512	1	[	[	X
ejpam-5921	512	2	6	6	NUM
ejpam-5921	512	3	]	]	PUNCT
ejpam-5921	512	4	m.	m.	PROPN
ejpam-5921	512	5	q.	q.	PROPN
ejpam-5921	512	6	shahbaz	shahbaz	PROPN
ejpam-5921	512	7	,	,	PUNCT
ejpam-5921	512	8	s.	s.	PROPN
ejpam-5921	512	9	shahbaz	shahbaz	PROPN
ejpam-5921	512	10	,	,	PUNCT
ejpam-5921	512	11	and	and	CCONJ
ejpam-5921	512	12	a.	a.	PROPN
ejpam-5921	512	13	rafiq	rafiq	PROPN
ejpam-5921	512	14	.	.	PUNCT
ejpam-5921	513	1	a	a	DET
ejpam-5921	513	2	new	new	ADJ
ejpam-5921	513	3	bivariate	bivariate	ADJ
ejpam-5921	513	4	gumbel	gumbel	NOUN
ejpam-5921	513	5	distribution	distribution	NOUN
ejpam-5921	513	6	.	.	PUNCT
ejpam-5921	514	1	nonlinear	nonlinear	ADJ
ejpam-5921	514	2	analysis	analysis	NOUN
ejpam-5921	514	3	forum	forum	PROPN
ejpam-5921	514	4	,	,	PUNCT
ejpam-5921	514	5	16:133–136	16:133–136	PROPN
ejpam-5921	514	6	,	,	PUNCT
ejpam-5921	514	7	2011	2011	NUM
ejpam-5921	514	8	.	.	PUNCT
ejpam-5921	515	1	[	[	X
ejpam-5921	515	2	7	7	X
ejpam-5921	515	3	]	]	PUNCT
ejpam-5921	515	4	s.	s.	PROPN
ejpam-5921	515	5	h.	h.	PROPN
ejpam-5921	515	6	shahbaz	shahbaz	PROPN
ejpam-5921	515	7	and	and	CCONJ
ejpam-5921	515	8	m.	m.	PROPN
ejpam-5921	515	9	q.	q.	PROPN
ejpam-5921	515	10	shahbaz	shahbaz	PROPN
ejpam-5921	515	11	.	.	PUNCT
ejpam-5921	516	1	on	on	ADP
ejpam-5921	516	2	concomitants	concomitant	NOUN
ejpam-5921	516	3	of	of	ADP
ejpam-5921	516	4	dual	dual	ADJ
ejpam-5921	516	5	generalized	generalize	VERB
ejpam-5921	516	6	order	order	NOUN
ejpam-5921	516	7	statistics	statistic	NOUN
ejpam-5921	516	8	for	for	ADP
ejpam-5921	516	9	a	a	DET
ejpam-5921	516	10	bivariate	bivariate	ADJ
ejpam-5921	516	11	inverse	inverse	ADJ
ejpam-5921	516	12	exponential	exponential	ADJ
ejpam-5921	516	13	distribution	distribution	NOUN
ejpam-5921	516	14	.	.	PUNCT
ejpam-5921	517	1	european	european	ADJ
ejpam-5921	517	2	journal	journal	PROPN
ejpam-5921	517	3	of	of	ADP
ejpam-5921	517	4	pure	pure	ADJ
ejpam-5921	517	5	and	and	CCONJ
ejpam-5921	517	6	applied	applied	ADJ
ejpam-5921	517	7	mathematics	mathematic	NOUN
ejpam-5921	517	8	,	,	PUNCT
ejpam-5921	517	9	11:929–936	11:929–936	NUM
ejpam-5921	517	10	,	,	PUNCT
ejpam-5921	517	11	2018	2018	NUM
ejpam-5921	517	12	.	.	PUNCT
ejpam-5921	518	1	[	[	X
ejpam-5921	518	2	8	8	NUM
ejpam-5921	518	3	]	]	X
ejpam-5921	518	4	i.	i.	PROPN
ejpam-5921	518	5	a.	a.	PROPN
ejpam-5921	518	6	lakibul	lakibul	PROPN
ejpam-5921	518	7	and	and	CCONJ
ejpam-5921	518	8	b.	b.	PROPN
ejpam-5921	518	9	f.	f.	PROPN
ejpam-5921	518	10	tubo	tubo	PROPN
ejpam-5921	518	11	.	.	PROPN
ejpam-5921	519	1	on	on	ADP
ejpam-5921	519	2	the	the	DET
ejpam-5921	519	3	tesu	tesu	PROPN
ejpam-5921	519	4	-	-	PUNCT
ejpam-5921	519	5	g	g	NOUN
ejpam-5921	519	6	family	family	NOUN
ejpam-5921	519	7	of	of	ADP
ejpam-5921	519	8	distributions	distribution	NOUN
ejpam-5921	519	9	applied	apply	VERB
ejpam-5921	519	10	to	to	ADP
ejpam-5921	519	11	life	life	NOUN
ejpam-5921	519	12	data	datum	NOUN
ejpam-5921	519	13	analysis	analysis	NOUN
ejpam-5921	519	14	.	.	PUNCT
ejpam-5921	520	1	reliability	reliability	NOUN
ejpam-5921	520	2	:	:	PUNCT
ejpam-5921	520	3	theory	theory	NOUN
ejpam-5921	520	4	and	and	CCONJ
ejpam-5921	520	5	applications	application	NOUN
ejpam-5921	520	6	,	,	PUNCT
ejpam-5921	520	7	18:24–38	18:24–38	NUM
ejpam-5921	520	8	,	,	PUNCT
ejpam-5921	520	9	2023	2023	NUM
ejpam-5921	520	10	.	.	PUNCT
ejpam-5921	521	1	[	[	X
ejpam-5921	521	2	9	9	NUM
ejpam-5921	521	3	]	]	PUNCT
ejpam-5921	521	4	i.	i.	NOUN
ejpam-5921	521	5	a.	a.	PROPN
ejpam-5921	521	6	lakibul	lakibul	PROPN
ejpam-5921	521	7	and	and	CCONJ
ejpam-5921	521	8	b.	b.	PROPN
ejpam-5921	521	9	f.	f.	PROPN
ejpam-5921	521	10	tubo	tubo	PROPN
ejpam-5921	521	11	.	.	PROPN
ejpam-5921	522	1	on	on	ADP
ejpam-5921	522	2	the	the	DET
ejpam-5921	522	3	four	four	NUM
ejpam-5921	522	4	-	-	PUNCT
ejpam-5921	522	5	parameter	parameter	NOUN
ejpam-5921	522	6	t	t	PROPN
ejpam-5921	522	7	-	-	PUNCT
ejpam-5921	522	8	extended	extend	VERB
ejpam-5921	522	9	standard	standard	ADJ
ejpam-5921	522	10	uquadratic	uquadratic	ADJ
ejpam-5921	522	11	exponentiated	exponentiate	VERB
ejpam-5921	522	12	weibull	weibull	NOUN
ejpam-5921	522	13	distribution	distribution	NOUN
ejpam-5921	522	14	.	.	PUNCT
ejpam-5921	523	1	the	the	DET
ejpam-5921	523	2	mindanawan	mindanawan	PROPN
ejpam-5921	523	3	journal	journal	PROPN
ejpam-5921	523	4	of	of	ADP
ejpam-5921	523	5	mathematics	mathematic	NOUN
ejpam-5921	523	6	,	,	PUNCT
ejpam-5921	523	7	5:17–33	5:17–33	NOUN
ejpam-5921	523	8	,	,	PUNCT
ejpam-5921	523	9	2023	2023	NUM
ejpam-5921	523	10	.	.	PUNCT
ejpam-5921	524	1	[	[	X
ejpam-5921	524	2	10	10	NUM
ejpam-5921	524	3	]	]	X
ejpam-5921	524	4	i.	i.	PROPN
ejpam-5921	524	5	a.	a.	PROPN
ejpam-5921	524	6	lakibul	lakibul	PROPN
ejpam-5921	524	7	,	,	PUNCT
ejpam-5921	524	8	d.	d.	PROPN
ejpam-5921	524	9	l.	l.	PROPN
ejpam-5921	524	10	polestico	polestico	PROPN
ejpam-5921	524	11	,	,	PUNCT
ejpam-5921	524	12	and	and	CCONJ
ejpam-5921	524	13	a.	a.	PROPN
ejpam-5921	524	14	p.	p.	PROPN
ejpam-5921	524	15	supe	supe	PROPN
ejpam-5921	524	16	.	.	PUNCT
ejpam-5921	525	1	on	on	ADP
ejpam-5921	525	2	the	the	DET
ejpam-5921	525	3	generalized	generalized	ADJ
ejpam-5921	525	4	version	version	NOUN
ejpam-5921	525	5	of	of	ADP
ejpam-5921	525	6	the	the	DET
ejpam-5921	525	7	extended	extended	ADJ
ejpam-5921	525	8	standard	standard	ADJ
ejpam-5921	525	9	u	u	ADJ
ejpam-5921	525	10	-	-	ADJ
ejpam-5921	525	11	quadratic	quadratic	ADJ
ejpam-5921	525	12	distribution	distribution	NOUN
ejpam-5921	525	13	.	.	PUNCT
ejpam-5921	526	1	european	european	ADJ
ejpam-5921	526	2	journal	journal	PROPN
ejpam-5921	526	3	of	of	ADP
ejpam-5921	526	4	pure	pure	ADJ
ejpam-5921	526	5	and	and	CCONJ
ejpam-5921	526	6	applied	applied	ADJ
ejpam-5921	526	7	mathematics	mathematic	NOUN
ejpam-5921	526	8	,	,	PUNCT
ejpam-5921	526	9	18(2	18(2	NUM
ejpam-5921	526	10	)	)	PUNCT
ejpam-5921	526	11	,	,	PUNCT
ejpam-5921	526	12	2025	2025	NUM
ejpam-5921	526	13	.	.	PUNCT
ejpam-5921	527	1	i.	i.	PROPN
ejpam-5921	527	2	a.	a.	PROPN
ejpam-5921	527	3	lakibul	lakibul	PROPN
ejpam-5921	527	4	,	,	PUNCT
ejpam-5921	527	5	d.	d.	PROPN
ejpam-5921	527	6	l.	l.	PROPN
ejpam-5921	527	7	polestico	polestico	PROPN
ejpam-5921	527	8	,	,	PUNCT
ejpam-5921	527	9	a.	a.	PROPN
ejpam-5921	527	10	p.	p.	NOUN
ejpam-5921	527	11	supe	supe	PROPN
ejpam-5921	527	12	/	/	SYM
ejpam-5921	527	13	eur	eur	PROPN
ejpam-5921	527	14	.	.	PUNCT
ejpam-5921	528	1	j.	j.	PROPN
ejpam-5921	528	2	pure	pure	PROPN
ejpam-5921	528	3	appl	appl	PROPN
ejpam-5921	528	4	.	.	PROPN
ejpam-5921	528	5	math	math	PROPN
ejpam-5921	528	6	,	,	PUNCT
ejpam-5921	528	7	18	18	NUM
ejpam-5921	528	8	(	(	PUNCT
ejpam-5921	528	9	3	3	NUM
ejpam-5921	528	10	)	)	PUNCT
ejpam-5921	528	11	(	(	PUNCT
ejpam-5921	528	12	2025	2025	NUM
ejpam-5921	528	13	)	)	PUNCT
ejpam-5921	528	14	,	,	PUNCT
ejpam-5921	528	15	5921	5921	NUM
ejpam-5921	528	16	24	24	NUM
ejpam-5921	528	17	of	of	ADP
ejpam-5921	528	18	24	24	NUM
ejpam-5921	528	19	[	[	SYM
ejpam-5921	528	20	11	11	NUM
ejpam-5921	528	21	]	]	PUNCT
ejpam-5921	528	22	p.	p.	NOUN
ejpam-5921	528	23	kumaraswamy	kumaraswamy	NOUN
ejpam-5921	528	24	.	.	PUNCT
ejpam-5921	529	1	a	a	DET
ejpam-5921	529	2	generalized	generalize	VERB
ejpam-5921	529	3	probability	probability	NOUN
ejpam-5921	529	4	density	density	NOUN
ejpam-5921	529	5	function	function	NOUN
ejpam-5921	529	6	for	for	ADP
ejpam-5921	529	7	double	double	ADJ
ejpam-5921	529	8	-	-	PUNCT
ejpam-5921	529	9	bounded	bound	VERB
ejpam-5921	529	10	random	random	ADJ
ejpam-5921	529	11	processes	process	NOUN
ejpam-5921	529	12	.	.	PUNCT
ejpam-5921	530	1	journal	journal	NOUN
ejpam-5921	530	2	of	of	ADP
ejpam-5921	530	3	hydrology	hydrology	NOUN
ejpam-5921	530	4	,	,	PUNCT
ejpam-5921	530	5	46:79–88	46:79–88	NUM
ejpam-5921	530	6	,	,	PUNCT
ejpam-5921	530	7	1980	1980	NUM
ejpam-5921	530	8	.	.	PUNCT
ejpam-5921	531	1	[	[	X
ejpam-5921	531	2	12	12	NUM
ejpam-5921	531	3	]	]	PUNCT
ejpam-5921	531	4	i.	i.	PROPN
ejpam-5921	531	5	a.	a.	PROPN
ejpam-5921	531	6	lakibul	lakibul	PROPN
ejpam-5921	531	7	,	,	PUNCT
ejpam-5921	531	8	d.	d.	PROPN
ejpam-5921	531	9	l.	l.	PROPN
ejpam-5921	531	10	polestico	polestico	PROPN
ejpam-5921	531	11	,	,	PUNCT
ejpam-5921	531	12	and	and	CCONJ
ejpam-5921	531	13	a.	a.	PROPN
ejpam-5921	531	14	p.	p.	PROPN
ejpam-5921	531	15	supe	supe	PROPN
ejpam-5921	531	16	.	.	PUNCT
ejpam-5921	532	1	on	on	ADP
ejpam-5921	532	2	the	the	DET
ejpam-5921	532	3	bivariate	bivariate	ADJ
ejpam-5921	532	4	extension	extension	NOUN
ejpam-5921	532	5	of	of	ADP
ejpam-5921	532	6	the	the	DET
ejpam-5921	532	7	extended	extended	ADJ
ejpam-5921	532	8	standard	standard	ADJ
ejpam-5921	532	9	u	u	ADJ
ejpam-5921	532	10	-	-	ADJ
ejpam-5921	532	11	quadratic	quadratic	ADJ
ejpam-5921	532	12	distribution	distribution	NOUN
ejpam-5921	532	13	.	.	PUNCT
ejpam-5921	533	1	european	european	ADJ
ejpam-5921	533	2	journal	journal	PROPN
ejpam-5921	533	3	of	of	ADP
ejpam-5921	533	4	pure	pure	ADJ
ejpam-5921	533	5	and	and	CCONJ
ejpam-5921	533	6	applied	applied	ADJ
ejpam-5921	533	7	mathematics	mathematic	NOUN
ejpam-5921	533	8	,	,	PUNCT
ejpam-5921	533	9	17:790–809	17:790–809	NUM
ejpam-5921	533	10	,	,	PUNCT
ejpam-5921	533	11	2024	2024	NUM
ejpam-5921	533	12	.	.	PUNCT