id	sid	tid	token	lemma	pos
ejpam-720	1	1	1_xxx_gupta.dvi	1_xxx_gupta.dvi	NUM
ejpam-720	1	2	european	european	ADJ
ejpam-720	1	3	journal	journal	NOUN
ejpam-720	1	4	of	of	ADP
ejpam-720	1	5	pure	pure	ADJ
ejpam-720	1	6	and	and	CCONJ
ejpam-720	1	7	applied	apply	VERB
ejpam-720	1	8	mathematics	mathematic	NOUN
ejpam-720	1	9	vol	vol	NOUN
ejpam-720	1	10	.	.	PUNCT
ejpam-720	2	1	3	3	NUM
ejpam-720	2	2	,	,	PUNCT
ejpam-720	2	3	no	no	INTJ
ejpam-720	2	4	.	.	NOUN
ejpam-720	2	5	2	2	NUM
ejpam-720	2	6	,	,	PUNCT
ejpam-720	2	7	2010	2010	NUM
ejpam-720	2	8	,	,	PUNCT
ejpam-720	2	9	128	128	NUM
ejpam-720	2	10	-	-	SYM
ejpam-720	2	11	140	140	NUM
ejpam-720	2	12	issn	issn	PROPN
ejpam-720	2	13	1307	1307	NUM
ejpam-720	2	14	-	-	SYM
ejpam-720	2	15	5543	5543	NUM
ejpam-720	2	16	–	–	PUNCT
ejpam-720	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-720	2	18	a	a	DET
ejpam-720	2	19	matrix	matrix	NOUN
ejpam-720	2	20	variate	variate	NOUN
ejpam-720	2	21	skew	skew	ADJ
ejpam-720	2	22	distribution	distribution	NOUN
ejpam-720	2	23	deniz	deniz	PROPN
ejpam-720	2	24	akdemir∗1	akdemir∗1	PROPN
ejpam-720	2	25	,	,	PUNCT
ejpam-720	3	1	arjun	arjun	PROPN
ejpam-720	3	2	k.	k.	PROPN
ejpam-720	3	3	gupta2	gupta2	PROPN
ejpam-720	4	1	1	1	NUM
ejpam-720	4	2	department	department	NOUN
ejpam-720	4	3	of	of	ADP
ejpam-720	4	4	mathematics	mathematic	NOUN
ejpam-720	4	5	and	and	CCONJ
ejpam-720	4	6	statistics	statistic	NOUN
ejpam-720	4	7	,	,	PUNCT
ejpam-720	4	8	bowling	bowl	VERB
ejpam-720	4	9	green	green	ADJ
ejpam-720	4	10	state	state	PROPN
ejpam-720	4	11	university	university	PROPN
ejpam-720	4	12	,	,	PUNCT
ejpam-720	4	13	bowling	bowling	NOUN
ejpam-720	4	14	green	green	NOUN
ejpam-720	4	15	,	,	PUNCT
ejpam-720	4	16	ohio	ohio	PROPN
ejpam-720	4	17	43403	43403	NUM
ejpam-720	4	18	,	,	PUNCT
ejpam-720	4	19	usa	usa	PROPN
ejpam-720	4	20	(	(	PUNCT
ejpam-720	4	21	now	now	ADV
ejpam-720	4	22	at	at	ADP
ejpam-720	4	23	the	the	DET
ejpam-720	4	24	ohio	ohio	PROPN
ejpam-720	4	25	northern	northern	PROPN
ejpam-720	4	26	university	university	PROPN
ejpam-720	4	27	,	,	PUNCT
ejpam-720	4	28	ada	ada	PROPN
ejpam-720	4	29	,	,	PUNCT
ejpam-720	4	30	ohio	ohio	PROPN
ejpam-720	4	31	,	,	PUNCT
ejpam-720	4	32	45810	45810	NUM
ejpam-720	4	33	,	,	PUNCT
ejpam-720	4	34	usa	usa	PROPN
ejpam-720	4	35	)	)	PUNCT
ejpam-720	4	36	2	2	NUM
ejpam-720	4	37	department	department	NOUN
ejpam-720	4	38	of	of	ADP
ejpam-720	4	39	mathematics	mathematic	NOUN
ejpam-720	4	40	and	and	CCONJ
ejpam-720	4	41	statistics	statistic	NOUN
ejpam-720	4	42	,	,	PUNCT
ejpam-720	4	43	bowling	bowl	VERB
ejpam-720	4	44	green	green	ADJ
ejpam-720	4	45	state	state	PROPN
ejpam-720	4	46	university	university	PROPN
ejpam-720	4	47	,	,	PUNCT
ejpam-720	4	48	bowling	bowling	NOUN
ejpam-720	4	49	green	green	NOUN
ejpam-720	4	50	,	,	PUNCT
ejpam-720	4	51	ohio	ohio	PROPN
ejpam-720	4	52	43403	43403	NUM
ejpam-720	4	53	,	,	PUNCT
ejpam-720	4	54	usa	usa	PROPN
ejpam-720	4	55	abstract	abstract	PROPN
ejpam-720	4	56	.	.	PUNCT
ejpam-720	5	1	typical	typical	ADJ
ejpam-720	5	2	multivariate	multivariate	NOUN
ejpam-720	5	3	analysis	analysis	NOUN
ejpam-720	5	4	assumes	assume	VERB
ejpam-720	5	5	independence	independence	NOUN
ejpam-720	5	6	among	among	ADP
ejpam-720	5	7	the	the	DET
ejpam-720	5	8	individual	individual	ADJ
ejpam-720	5	9	observations	observation	NOUN
ejpam-720	5	10	as	as	ADV
ejpam-720	5	11	well	well	ADV
ejpam-720	5	12	as	as	ADP
ejpam-720	5	13	elliptical	elliptical	ADJ
ejpam-720	5	14	symmetry	symmetry	NOUN
ejpam-720	5	15	of	of	ADP
ejpam-720	5	16	distributions	distribution	NOUN
ejpam-720	5	17	.	.	PUNCT
ejpam-720	6	1	in	in	ADP
ejpam-720	6	2	many	many	ADJ
ejpam-720	6	3	situations	situation	NOUN
ejpam-720	6	4	these	these	DET
ejpam-720	6	5	assumptions	assumption	NOUN
ejpam-720	6	6	may	may	AUX
ejpam-720	6	7	be	be	AUX
ejpam-720	6	8	too	too	ADV
ejpam-720	6	9	restrictive	restrictive	ADJ
ejpam-720	6	10	.	.	PUNCT
ejpam-720	7	1	this	this	DET
ejpam-720	7	2	paper	paper	NOUN
ejpam-720	7	3	studies	study	NOUN
ejpam-720	7	4	a	a	DET
ejpam-720	7	5	class	class	NOUN
ejpam-720	7	6	of	of	ADP
ejpam-720	7	7	flexible	flexible	ADJ
ejpam-720	7	8	matrix	matrix	NOUN
ejpam-720	7	9	variate	variate	NOUN
ejpam-720	7	10	distribution	distribution	NOUN
ejpam-720	7	11	models	model	NOUN
ejpam-720	7	12	that	that	PRON
ejpam-720	7	13	can	can	AUX
ejpam-720	7	14	represent	represent	VERB
ejpam-720	7	15	both	both	CCONJ
ejpam-720	7	16	skewed	skewed	ADJ
ejpam-720	7	17	and	and	CCONJ
ejpam-720	7	18	symmetric	symmetric	ADJ
ejpam-720	7	19	distributions	distribution	NOUN
ejpam-720	7	20	which	which	PRON
ejpam-720	7	21	can	can	AUX
ejpam-720	7	22	also	also	ADV
ejpam-720	7	23	account	account	VERB
ejpam-720	7	24	for	for	ADP
ejpam-720	7	25	dependence	dependence	NOUN
ejpam-720	7	26	among	among	ADP
ejpam-720	7	27	individual	individual	ADJ
ejpam-720	7	28	observations	observation	NOUN
ejpam-720	7	29	.	.	PUNCT
ejpam-720	8	1	we	we	PRON
ejpam-720	8	2	derive	derive	VERB
ejpam-720	8	3	the	the	DET
ejpam-720	8	4	moment	moment	NOUN
ejpam-720	8	5	generating	generate	VERB
ejpam-720	8	6	function	function	NOUN
ejpam-720	8	7	and	and	CCONJ
ejpam-720	8	8	study	study	VERB
ejpam-720	8	9	linear	linear	ADJ
ejpam-720	8	10	and	and	CCONJ
ejpam-720	8	11	quadratic	quadratic	ADJ
ejpam-720	8	12	forms	form	NOUN
ejpam-720	8	13	of	of	ADP
ejpam-720	8	14	interest	interest	NOUN
ejpam-720	8	15	that	that	PRON
ejpam-720	8	16	help	help	AUX
ejpam-720	8	17	understand	understand	VERB
ejpam-720	8	18	the	the	DET
ejpam-720	8	19	properties	property	NOUN
ejpam-720	8	20	of	of	ADP
ejpam-720	8	21	these	these	DET
ejpam-720	8	22	models	model	NOUN
ejpam-720	8	23	.	.	PUNCT
ejpam-720	9	1	2000	2000	NUM
ejpam-720	9	2	mathematics	mathematic	NOUN
ejpam-720	9	3	subject	subject	NOUN
ejpam-720	9	4	classifications	classification	NOUN
ejpam-720	9	5	:	:	PUNCT
ejpam-720	9	6	primary	primary	ADJ
ejpam-720	9	7	62h10	62h10	NOUN
ejpam-720	9	8	,	,	PUNCT
ejpam-720	9	9	secondary	secondary	ADJ
ejpam-720	9	10	62h05	62h05	NUM
ejpam-720	9	11	.	.	PUNCT
ejpam-720	10	1	key	key	ADJ
ejpam-720	10	2	words	word	NOUN
ejpam-720	10	3	and	and	CCONJ
ejpam-720	10	4	phrases	phrase	NOUN
ejpam-720	10	5	:	:	PUNCT
ejpam-720	10	6	skew	skew	VERB
ejpam-720	10	7	normal	normal	ADJ
ejpam-720	10	8	distribution	distribution	NOUN
ejpam-720	10	9	,	,	PUNCT
ejpam-720	10	10	normal	normal	ADJ
ejpam-720	10	11	distribution	distribution	NOUN
ejpam-720	10	12	,	,	PUNCT
ejpam-720	10	13	multivariate	multivariate	NOUN
ejpam-720	10	14	distribution	distribution	NOUN
ejpam-720	10	15	,	,	PUNCT
ejpam-720	10	16	matrix	matrix	NOUN
ejpam-720	10	17	variate	variate	NOUN
ejpam-720	10	18	skew	skew	ADJ
ejpam-720	10	19	normal	normal	ADJ
ejpam-720	10	20	distribution	distribution	NOUN
ejpam-720	10	21	.	.	PUNCT
ejpam-720	11	1	1	1	X
ejpam-720	11	2	.	.	X
ejpam-720	11	3	introduction	introduction	NOUN
ejpam-720	11	4	1.1	1.1	NUM
ejpam-720	11	5	.	.	PUNCT
ejpam-720	12	1	distribution	distribution	NOUN
ejpam-720	12	2	of	of	ADP
ejpam-720	12	3	random	random	ADJ
ejpam-720	12	4	sample	sample	NOUN
ejpam-720	12	5	in	in	ADP
ejpam-720	12	6	order	order	NOUN
ejpam-720	12	7	to	to	PART
ejpam-720	12	8	make	make	VERB
ejpam-720	12	9	inferences	inference	NOUN
ejpam-720	12	10	about	about	ADP
ejpam-720	12	11	the	the	DET
ejpam-720	12	12	population	population	NOUN
ejpam-720	12	13	parameters	parameter	NOUN
ejpam-720	12	14	of	of	ADP
ejpam-720	12	15	a	a	DET
ejpam-720	12	16	k	k	X
ejpam-720	12	17	dimensional	dimensional	ADJ
ejpam-720	12	18	parametric	parametric	ADJ
ejpam-720	12	19	distribution	distribution	NOUN
ejpam-720	12	20	,	,	PUNCT
ejpam-720	12	21	we	we	PRON
ejpam-720	12	22	work	work	VERB
ejpam-720	12	23	with	with	ADP
ejpam-720	12	24	a	a	DET
ejpam-720	12	25	random	random	ADJ
ejpam-720	12	26	sample	sample	NOUN
ejpam-720	12	27	of	of	ADP
ejpam-720	12	28	n	n	PRON
ejpam-720	12	29	individuals	individual	NOUN
ejpam-720	12	30	from	from	ADP
ejpam-720	12	31	this	this	DET
ejpam-720	12	32	population	population	NOUN
ejpam-720	12	33	which	which	PRON
ejpam-720	12	34	can	can	AUX
ejpam-720	12	35	be	be	AUX
ejpam-720	12	36	represented	represent	VERB
ejpam-720	12	37	by	by	ADP
ejpam-720	12	38	a	a	DET
ejpam-720	12	39	k×	k×	PROPN
ejpam-720	12	40	n	n	NOUN
ejpam-720	12	41	matrix	matrix	NOUN
ejpam-720	12	42	x	x	INTJ
ejpam-720	12	43	.	.	PUNCT
ejpam-720	13	1	typical	typical	ADJ
ejpam-720	13	2	multivariate	multivariate	NOUN
ejpam-720	13	3	analysis	analysis	NOUN
ejpam-720	13	4	assumes	assume	VERB
ejpam-720	13	5	independence	independence	NOUN
ejpam-720	13	6	among	among	ADP
ejpam-720	13	7	the	the	DET
ejpam-720	13	8	individuals	individual	NOUN
ejpam-720	13	9	.	.	PUNCT
ejpam-720	14	1	in	in	ADP
ejpam-720	14	2	many	many	ADJ
ejpam-720	14	3	situations	situation	NOUN
ejpam-720	14	4	this	this	DET
ejpam-720	14	5	assumption	assumption	NOUN
ejpam-720	14	6	may	may	AUX
ejpam-720	14	7	be	be	AUX
ejpam-720	14	8	too	too	ADV
ejpam-720	14	9	restrictive	restrictive	ADJ
ejpam-720	14	10	.	.	PUNCT
ejpam-720	15	1	for	for	ADP
ejpam-720	15	2	example	example	NOUN
ejpam-720	15	3	,	,	PUNCT
ejpam-720	15	4	many	many	ADJ
ejpam-720	15	5	data	datum	NOUN
ejpam-720	15	6	collection	collection	NOUN
ejpam-720	15	7	and	and	CCONJ
ejpam-720	15	8	sample	sample	NOUN
ejpam-720	15	9	designs	design	NOUN
ejpam-720	15	10	involve	involve	VERB
ejpam-720	15	11	some	some	DET
ejpam-720	15	12	overlapping	overlap	VERB
ejpam-720	15	13	between	between	ADP
ejpam-720	15	14	interviewer	interview	ADJ
ejpam-720	15	15	workload	workload	NOUN
ejpam-720	15	16	and	and	CCONJ
ejpam-720	15	17	the	the	DET
ejpam-720	15	18	sampling	sample	VERB
ejpam-720	15	19	units	unit	NOUN
ejpam-720	15	20	(	(	PUNCT
ejpam-720	15	21	clusters	cluster	NOUN
ejpam-720	15	22	)	)	PUNCT
ejpam-720	15	23	.	.	PUNCT
ejpam-720	16	1	a	a	DET
ejpam-720	16	2	proportion	proportion	NOUN
ejpam-720	16	3	of	of	ADP
ejpam-720	16	4	the	the	DET
ejpam-720	16	5	measurement	measurement	NOUN
ejpam-720	16	6	variance	variance	NOUN
ejpam-720	16	7	which	which	PRON
ejpam-720	16	8	is	be	AUX
ejpam-720	16	9	due	due	ADJ
ejpam-720	16	10	to	to	ADP
ejpam-720	16	11	interviewers	interviewer	NOUN
ejpam-720	16	12	is	be	AUX
ejpam-720	16	13	reflected	reflect	VERB
ejpam-720	16	14	to	to	ADP
ejpam-720	16	15	some	some	DET
ejpam-720	16	16	degree	degree	NOUN
ejpam-720	16	17	in	in	ADP
ejpam-720	16	18	the	the	DET
ejpam-720	16	19	sampling	sample	VERB
ejpam-720	16	20	variance	variance	NOUN
ejpam-720	16	21	calculations	calculation	NOUN
ejpam-720	16	22	.	.	PUNCT
ejpam-720	17	1	in	in	ADP
ejpam-720	17	2	the	the	DET
ejpam-720	17	3	literature	literature	NOUN
ejpam-720	17	4	,	,	PUNCT
ejpam-720	17	5	the	the	DET
ejpam-720	17	6	variable	variable	ADJ
ejpam-720	17	7	effects	effect	NOUN
ejpam-720	17	8	that	that	PRON
ejpam-720	17	9	interviewers	interviewer	NOUN
ejpam-720	17	10	have	have	VERB
ejpam-720	17	11	on	on	ADP
ejpam-720	17	12	respondent	respondent	NOUN
ejpam-720	17	13	answers	answer	NOUN
ejpam-720	17	14	are	be	AUX
ejpam-720	17	15	sometimes	sometimes	ADV
ejpam-720	17	16	labeled	label	VERB
ejpam-720	17	17	the	the	DET
ejpam-720	17	18	correlated	correlate	VERB
ejpam-720	17	19	response	response	NOUN
ejpam-720	17	20	variance	variance	NOUN
ejpam-720	17	21	[	[	X
ejpam-720	17	22	3	3	NUM
ejpam-720	17	23	]	]	PUNCT
ejpam-720	17	24	.	.	PUNCT
ejpam-720	18	1	matrix	matrix	NOUN
ejpam-720	18	2	variate	variate	NOUN
ejpam-720	18	3	distributions	distribution	NOUN
ejpam-720	18	4	can	can	AUX
ejpam-720	18	5	be	be	AUX
ejpam-720	18	6	used	use	VERB
ejpam-720	18	7	to	to	PART
ejpam-720	18	8	account	account	VERB
ejpam-720	18	9	for	for	ADP
ejpam-720	18	10	the	the	DET
ejpam-720	18	11	dependence	dependence	NOUN
ejpam-720	18	12	among	among	ADP
ejpam-720	18	13	individual	individual	ADJ
ejpam-720	18	14	vector	vector	NOUN
ejpam-720	18	15	observations	observation	NOUN
ejpam-720	18	16	.	.	PUNCT
ejpam-720	19	1	∗corresponding	∗corresponde	VERB
ejpam-720	19	2	author	author	NOUN
ejpam-720	19	3	.	.	PUNCT
ejpam-720	20	1	email	email	NOUN
ejpam-720	20	2	addresses	address	NOUN
ejpam-720	20	3	:	:	PUNCT
ejpam-720	20	4	d-akdemir�onu.edu	d-akdemir�onu.edu	NUM
ejpam-720	20	5	(	(	PUNCT
ejpam-720	20	6	d.	d.	PROPN
ejpam-720	20	7	akdemir	akdemir	PROPN
ejpam-720	20	8	)	)	PUNCT
ejpam-720	20	9	,	,	PUNCT
ejpam-720	20	10	gupta�bgsu.edu	gupta�bgsu.edu	PROPN
ejpam-720	20	11	(	(	PUNCT
ejpam-720	20	12	a.k	a.k	PROPN
ejpam-720	20	13	.	.	PROPN
ejpam-720	20	14	gupta	gupta	PROPN
ejpam-720	20	15	)	)	PUNCT
ejpam-720	20	16	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-720	21	1	128	128	NUM
ejpam-720	21	2	c	c	X
ejpam-720	21	3	©	©	PROPN
ejpam-720	21	4	2010	2010	NUM
ejpam-720	21	5	ejpam	ejpam	NOUN
ejpam-720	21	6	all	all	DET
ejpam-720	21	7	rights	right	NOUN
ejpam-720	21	8	reserved	reserve	VERB
ejpam-720	21	9	.	.	PUNCT
ejpam-720	22	1	d.	d.	PROPN
ejpam-720	22	2	akdemir	akdemir	PROPN
ejpam-720	22	3	,	,	PUNCT
ejpam-720	22	4	a.k	a.k	PROPN
ejpam-720	22	5	.	.	PROPN
ejpam-720	22	6	gupta	gupta	PROPN
ejpam-720	22	7	/	/	SYM
ejpam-720	22	8	eur	eur	PROPN
ejpam-720	22	9	.	.	PUNCT
ejpam-720	23	1	j.	j.	PROPN
ejpam-720	23	2	pure	pure	PROPN
ejpam-720	23	3	appl	appl	PROPN
ejpam-720	23	4	.	.	PROPN
ejpam-720	23	5	math	math	PROPN
ejpam-720	23	6	,	,	PUNCT
ejpam-720	23	7	3	3	NUM
ejpam-720	23	8	(	(	PUNCT
ejpam-720	23	9	2010	2010	NUM
ejpam-720	23	10	)	)	PUNCT
ejpam-720	23	11	,	,	PUNCT
ejpam-720	23	12	128	128	NUM
ejpam-720	23	13	-	-	SYM
ejpam-720	23	14	140	140	NUM
ejpam-720	23	15	129	129	NUM
ejpam-720	23	16	unarguably	unarguably	ADV
ejpam-720	23	17	,	,	PUNCT
ejpam-720	23	18	the	the	DET
ejpam-720	23	19	most	most	ADV
ejpam-720	23	20	commonly	commonly	ADV
ejpam-720	23	21	used	use	VERB
ejpam-720	23	22	family	family	NOUN
ejpam-720	23	23	of	of	ADP
ejpam-720	23	24	distributions	distribution	NOUN
ejpam-720	23	25	is	be	AUX
ejpam-720	23	26	the	the	DET
ejpam-720	23	27	normal	normal	ADJ
ejpam-720	23	28	family	family	NOUN
ejpam-720	23	29	.	.	PUNCT
ejpam-720	24	1	under	under	ADP
ejpam-720	24	2	normality	normality	NOUN
ejpam-720	24	3	assumption	assumption	NOUN
ejpam-720	24	4	,	,	PUNCT
ejpam-720	24	5	the	the	DET
ejpam-720	24	6	matrix	matrix	NOUN
ejpam-720	24	7	random	random	ADJ
ejpam-720	24	8	variable	variable	NOUN
ejpam-720	24	9	x	x	PUNCT
ejpam-720	24	10	will	will	AUX
ejpam-720	24	11	have	have	VERB
ejpam-720	24	12	the	the	DET
ejpam-720	24	13	following	follow	VERB
ejpam-720	24	14	density	density	NOUN
ejpam-720	24	15	[	[	X
ejpam-720	24	16	6	6	NUM
ejpam-720	24	17	]	]	PUNCT
ejpam-720	24	18	:	:	PUNCT
ejpam-720	24	19	φk×n(x	φk×n(x	ADJ
ejpam-720	24	20	;	;	PUNCT
ejpam-720	24	21	m	m	PROPN
ejpam-720	24	22	,	,	PUNCT
ejpam-720	24	23	aa′	aa′	INTJ
ejpam-720	24	24	,	,	PUNCT
ejpam-720	24	25	b′b	b′b	ADV
ejpam-720	24	26	)	)	PUNCT
ejpam-720	24	27	=	=	VERB
ejpam-720	25	1	etr(−1	etr(−1	PROPN
ejpam-720	25	2	2	2	NUM
ejpam-720	25	3	(	(	PUNCT
ejpam-720	25	4	aa′)−1(x	aa′)−1(x	PROPN
ejpam-720	25	5	−m)(b′b)−1(x	−m)(b′b)−1(x	NOUN
ejpam-720	25	6	−m)′	−m)′	NOUN
ejpam-720	25	7	)	)	PUNCT
ejpam-720	25	8	(	(	PUNCT
ejpam-720	25	9	2π)nk/2|aa′|n/2|b′b|k/2	2π)nk/2|aa′|n/2|b′b|k/2	PROPN
ejpam-720	25	10	(	(	PUNCT
ejpam-720	25	11	1	1	NUM
ejpam-720	25	12	)	)	PUNCT
ejpam-720	25	13	where	where	SCONJ
ejpam-720	25	14	a	a	PRON
ejpam-720	25	15	is	be	AUX
ejpam-720	25	16	a	a	DET
ejpam-720	25	17	k×k	k×k	PROPN
ejpam-720	25	18	matrix	matrix	NOUN
ejpam-720	25	19	,	,	PUNCT
ejpam-720	25	20	b	b	NOUN
ejpam-720	25	21	is	be	AUX
ejpam-720	25	22	an	an	DET
ejpam-720	25	23	n×n	n×n	PROPN
ejpam-720	25	24	matrix	matrix	NOUN
ejpam-720	26	1	such	such	ADJ
ejpam-720	26	2	that	that	DET
ejpam-720	26	3	aa′	aa′	ADJ
ejpam-720	26	4	and	and	CCONJ
ejpam-720	26	5	b′b	b′b	ADV
ejpam-720	26	6	are	be	AUX
ejpam-720	26	7	positive	positive	ADJ
ejpam-720	26	8	definite	definite	ADJ
ejpam-720	26	9	;	;	PUNCT
ejpam-720	26	10	m	m	VERB
ejpam-720	26	11	is	be	AUX
ejpam-720	26	12	a	a	DET
ejpam-720	26	13	k×n	k×n	PROPN
ejpam-720	26	14	matrix	matrix	NOUN
ejpam-720	26	15	.	.	PUNCT
ejpam-720	27	1	like	like	ADP
ejpam-720	27	2	the	the	DET
ejpam-720	27	3	multivariate	multivariate	NOUN
ejpam-720	27	4	case	case	NOUN
ejpam-720	27	5	,	,	PUNCT
ejpam-720	27	6	the	the	DET
ejpam-720	27	7	matrix	matrix	NOUN
ejpam-720	27	8	a	a	DET
ejpam-720	27	9	determines	determine	VERB
ejpam-720	27	10	how	how	SCONJ
ejpam-720	27	11	the	the	DET
ejpam-720	27	12	variables	variable	NOUN
ejpam-720	27	13	are	be	AUX
ejpam-720	27	14	related	relate	VERB
ejpam-720	27	15	,	,	PUNCT
ejpam-720	27	16	also	also	ADV
ejpam-720	27	17	the	the	DET
ejpam-720	27	18	matrix	matrix	NOUN
ejpam-720	27	19	b	b	NOUN
ejpam-720	27	20	is	be	AUX
ejpam-720	27	21	introduced	introduce	VERB
ejpam-720	27	22	to	to	PART
ejpam-720	27	23	account	account	VERB
ejpam-720	27	24	for	for	ADP
ejpam-720	27	25	dependence	dependence	NOUN
ejpam-720	27	26	among	among	ADP
ejpam-720	27	27	individual	individual	ADJ
ejpam-720	27	28	observations	observation	NOUN
ejpam-720	27	29	.	.	PUNCT
ejpam-720	28	1	in	in	ADP
ejpam-720	28	2	this	this	DET
ejpam-720	28	3	family	family	NOUN
ejpam-720	28	4	,	,	PUNCT
ejpam-720	28	5	orthogonality	orthogonality	NOUN
ejpam-720	28	6	of	of	ADP
ejpam-720	28	7	rows	row	NOUN
ejpam-720	28	8	of	of	ADP
ejpam-720	28	9	the	the	DET
ejpam-720	28	10	matrix	matrix	NOUN
ejpam-720	28	11	a	a	PRON
ejpam-720	28	12	or	or	CCONJ
ejpam-720	28	13	the	the	DET
ejpam-720	28	14	columns	column	NOUN
ejpam-720	28	15	of	of	ADP
ejpam-720	28	16	the	the	DET
ejpam-720	28	17	matrix	matrix	NOUN
ejpam-720	28	18	b	b	NOUN
ejpam-720	28	19	is	be	AUX
ejpam-720	28	20	equivalent	equivalent	ADJ
ejpam-720	28	21	to	to	ADP
ejpam-720	28	22	independence	independence	NOUN
ejpam-720	28	23	of	of	ADP
ejpam-720	28	24	rows	row	NOUN
ejpam-720	28	25	or	or	CCONJ
ejpam-720	28	26	columns	column	NOUN
ejpam-720	28	27	of	of	ADP
ejpam-720	28	28	the	the	DET
ejpam-720	28	29	random	random	ADJ
ejpam-720	28	30	matrix	matrix	NOUN
ejpam-720	28	31	x	x	INTJ
ejpam-720	28	32	.	.	PUNCT
ejpam-720	29	1	in	in	ADP
ejpam-720	29	2	the	the	DET
ejpam-720	29	3	remainder	remainder	NOUN
ejpam-720	29	4	of	of	ADP
ejpam-720	29	5	this	this	DET
ejpam-720	29	6	paper	paper	NOUN
ejpam-720	29	7	we	we	PRON
ejpam-720	29	8	will	will	AUX
ejpam-720	29	9	use	use	VERB
ejpam-720	29	10	φ	φ	PROPN
ejpam-720	29	11	(	(	PUNCT
ejpam-720	29	12	.	.	PUNCT
ejpam-720	29	13	)	)	PUNCT
ejpam-720	30	1	and	and	CCONJ
ejpam-720	30	2	φ	φ	PROPN
ejpam-720	30	3	(	(	PUNCT
ejpam-720	30	4	.	.	PUNCT
ejpam-720	30	5	)	)	PUNCT
ejpam-720	31	1	for	for	ADP
ejpam-720	31	2	the	the	DET
ejpam-720	31	3	density	density	NOUN
ejpam-720	31	4	and	and	CCONJ
ejpam-720	31	5	the	the	DET
ejpam-720	31	6	cdf	cdf	PROPN
ejpam-720	31	7	of	of	ADP
ejpam-720	31	8	the	the	DET
ejpam-720	31	9	normal	normal	ADJ
ejpam-720	31	10	random	random	ADJ
ejpam-720	31	11	variables	variable	NOUN
ejpam-720	31	12	.	.	PUNCT
ejpam-720	32	1	when	when	SCONJ
ejpam-720	32	2	we	we	PRON
ejpam-720	32	3	want	want	VERB
ejpam-720	32	4	to	to	PART
ejpam-720	32	5	refer	refer	VERB
ejpam-720	32	6	to	to	ADP
ejpam-720	32	7	the	the	DET
ejpam-720	32	8	multivariate	multivariate	NOUN
ejpam-720	32	9	or	or	CCONJ
ejpam-720	32	10	matrix	matrix	NOUN
ejpam-720	32	11	variate	variate	NOUN
ejpam-720	32	12	forms	form	NOUN
ejpam-720	32	13	of	of	ADP
ejpam-720	32	14	these	these	DET
ejpam-720	32	15	functions	function	NOUN
ejpam-720	32	16	,	,	PUNCT
ejpam-720	32	17	we	we	PRON
ejpam-720	32	18	will	will	AUX
ejpam-720	32	19	use	use	VERB
ejpam-720	32	20	subindices	subindex	NOUN
ejpam-720	32	21	to	to	PART
ejpam-720	32	22	describe	describe	VERB
ejpam-720	32	23	the	the	DET
ejpam-720	32	24	dimensions	dimension	NOUN
ejpam-720	32	25	.	.	PUNCT
ejpam-720	33	1	for	for	ADP
ejpam-720	33	2	example	example	NOUN
ejpam-720	33	3	,	,	PUNCT
ejpam-720	33	4	we	we	PRON
ejpam-720	33	5	will	will	AUX
ejpam-720	33	6	write	write	VERB
ejpam-720	33	7	φk×n(x	φk×n(x	NOUN
ejpam-720	33	8	;	;	PUNCT
ejpam-720	33	9	m	m	PROPN
ejpam-720	33	10	,	,	PUNCT
ejpam-720	33	11	a	a	DET
ejpam-720	33	12	,	,	PUNCT
ejpam-720	33	13	b	b	NOUN
ejpam-720	33	14	)	)	PUNCT
ejpam-720	33	15	to	to	PART
ejpam-720	33	16	represent	represent	VERB
ejpam-720	33	17	the	the	DET
ejpam-720	33	18	cdf	cdf	PROPN
ejpam-720	33	19	of	of	ADP
ejpam-720	33	20	a	a	DET
ejpam-720	33	21	matrix	matrix	NOUN
ejpam-720	33	22	variate	variate	NOUN
ejpam-720	33	23	normal	normal	ADJ
ejpam-720	33	24	random	random	ADJ
ejpam-720	33	25	variable	variable	NOUN
ejpam-720	33	26	with	with	ADP
ejpam-720	33	27	parameters	parameter	NOUN
ejpam-720	33	28	m	m	VERB
ejpam-720	33	29	,	,	PUNCT
ejpam-720	33	30	a	a	PRON
ejpam-720	33	31	and	and	CCONJ
ejpam-720	33	32	b	b	NOUN
ejpam-720	33	33	evaluated	evaluate	VERB
ejpam-720	33	34	at	at	ADP
ejpam-720	33	35	x	x	X
ejpam-720	33	36	.	.	PUNCT
ejpam-720	33	37	1.2	1.2	NUM
ejpam-720	33	38	.	.	PUNCT
ejpam-720	34	1	multivariate	multivariate	NOUN
ejpam-720	34	2	skew	skew	NOUN
ejpam-720	34	3	distributions	distribution	NOUN
ejpam-720	34	4	a	a	DET
ejpam-720	34	5	k	k	X
ejpam-720	34	6	dimensional	dimensional	ADJ
ejpam-720	34	7	random	random	ADJ
ejpam-720	34	8	vector	vector	NOUN
ejpam-720	34	9	x	x	PUNCT
ejpam-720	34	10	with	with	ADP
ejpam-720	34	11	pdf	pdf	NOUN
ejpam-720	34	12	f	f	X
ejpam-720	34	13	(	(	PUNCT
ejpam-720	34	14	.	.	PUNCT
ejpam-720	34	15	)	)	PUNCT
ejpam-720	34	16	is	be	AUX
ejpam-720	34	17	centrally	centrally	ADV
ejpam-720	34	18	symmetric	symmetric	ADJ
ejpam-720	34	19	about	about	ADP
ejpam-720	34	20	0	0	NUM
ejpam-720	35	1	if	if	SCONJ
ejpam-720	35	2	f	f	PROPN
ejpam-720	35	3	(	(	PUNCT
ejpam-720	35	4	t	t	PROPN
ejpam-720	35	5	)	)	PUNCT
ejpam-720	36	1	=	=	SYM
ejpam-720	36	2	f	f	PROPN
ejpam-720	36	3	(	(	PUNCT
ejpam-720	36	4	−t	−t	PROPN
ejpam-720	36	5	)	)	PUNCT
ejpam-720	36	6	for	for	ADP
ejpam-720	36	7	all	all	DET
ejpam-720	36	8	t	t	NOUN
ejpam-720	36	9	in	in	ADP
ejpam-720	36	10	the	the	DET
ejpam-720	36	11	domain	domain	NOUN
ejpam-720	36	12	of	of	ADP
ejpam-720	36	13	x	x	X
ejpam-720	36	14	.	.	PUNCT
ejpam-720	37	1	in	in	ADP
ejpam-720	37	2	this	this	DET
ejpam-720	37	3	section	section	NOUN
ejpam-720	37	4	,	,	PUNCT
ejpam-720	37	5	we	we	PRON
ejpam-720	37	6	study	study	VERB
ejpam-720	37	7	a	a	DET
ejpam-720	37	8	family	family	NOUN
ejpam-720	37	9	of	of	ADP
ejpam-720	37	10	multivariate	multivariate	NOUN
ejpam-720	37	11	skew	skew	NOUN
ejpam-720	37	12	symmetric	symmetric	ADJ
ejpam-720	37	13	densities	density	NOUN
ejpam-720	37	14	generated	generate	VERB
ejpam-720	37	15	by	by	ADP
ejpam-720	37	16	centrally	centrally	ADV
ejpam-720	37	17	symmetric	symmetric	ADJ
ejpam-720	37	18	densities	density	NOUN
ejpam-720	37	19	.	.	PUNCT
ejpam-720	38	1	theorem	theorem	NOUN
ejpam-720	38	2	1	1	X
ejpam-720	38	3	.	.	PUNCT
ejpam-720	39	1	let	let	VERB
ejpam-720	39	2	g	g	NOUN
ejpam-720	39	3	(	(	PUNCT
ejpam-720	39	4	.	.	PUNCT
ejpam-720	39	5	)	)	PUNCT
ejpam-720	39	6	be	be	AUX
ejpam-720	39	7	the	the	DET
ejpam-720	39	8	k	k	ADJ
ejpam-720	39	9	-	-	ADJ
ejpam-720	39	10	dimensional	dimensional	ADJ
ejpam-720	39	11	jpdf	jpdf	NOUN
ejpam-720	39	12	for	for	ADP
ejpam-720	39	13	k	k	PROPN
ejpam-720	39	14	independent	independent	ADJ
ejpam-720	39	15	variables	variable	NOUN
ejpam-720	39	16	centrally	centrally	ADV
ejpam-720	39	17	symmetric	symmetric	ADJ
ejpam-720	39	18	about	about	ADP
ejpam-720	39	19	0	0	NUM
ejpam-720	39	20	,	,	PUNCT
ejpam-720	39	21	h	h	NOUN
ejpam-720	39	22	(	(	PUNCT
ejpam-720	39	23	.	.	PUNCT
ejpam-720	39	24	)	)	PUNCT
ejpam-720	40	1	be	be	AUX
ejpam-720	40	2	an	an	DET
ejpam-720	40	3	absolutely	absolutely	ADV
ejpam-720	40	4	continuous	continuous	ADJ
ejpam-720	40	5	cumulative	cumulative	ADJ
ejpam-720	40	6	distribution	distribution	NOUN
ejpam-720	40	7	function	function	NOUN
ejpam-720	40	8	with	with	ADP
ejpam-720	40	9	h	h	NOUN
ejpam-720	40	10	′	′	PROPN
ejpam-720	40	11	(	(	PUNCT
ejpam-720	40	12	.	.	PUNCT
ejpam-720	40	13	)	)	PUNCT
ejpam-720	41	1	symmetric	symmetric	ADJ
ejpam-720	41	2	about	about	ADP
ejpam-720	41	3	0	0	NUM
ejpam-720	41	4	,	,	PUNCT
ejpam-720	41	5	α	α	NOUN
ejpam-720	41	6	=	=	SYM
ejpam-720	41	7	(	(	PUNCT
ejpam-720	41	8	α1,α2	α1,α2	PROPN
ejpam-720	41	9	,	,	PUNCT
ejpam-720	41	10	.	.	PUNCT
ejpam-720	41	11	.	.	PUNCT
ejpam-720	41	12	.	.	PUNCT
ejpam-720	42	1	,	,	PUNCT
ejpam-720	42	2	αk	αk	NOUN
ejpam-720	42	3	)	)	PUNCT
ejpam-720	42	4	′	′	NUM
ejpam-720	42	5	be	be	AUX
ejpam-720	42	6	a	a	DET
ejpam-720	42	7	k−dimensional	k−dimensional	ADJ
ejpam-720	42	8	real	real	ADJ
ejpam-720	42	9	vector	vector	NOUN
ejpam-720	42	10	,	,	PUNCT
ejpam-720	42	11	and	and	CCONJ
ejpam-720	42	12	e	e	PROPN
ejpam-720	42	13	j	j	PROPN
ejpam-720	42	14	for	for	ADP
ejpam-720	42	15	j	j	PROPN
ejpam-720	42	16	=	=	SYM
ejpam-720	42	17	1,2	1,2	NUM
ejpam-720	42	18	,	,	PUNCT
ejpam-720	42	19	.	.	PUNCT
ejpam-720	42	20	.	.	PUNCT
ejpam-720	43	1	.	.	PUNCT
ejpam-720	44	1	,	,	PUNCT
ejpam-720	44	2	k	k	PROPN
ejpam-720	44	3	are	be	AUX
ejpam-720	44	4	the	the	DET
ejpam-720	44	5	elementary	elementary	ADJ
ejpam-720	44	6	vectors	vector	NOUN
ejpam-720	44	7	of	of	ADP
ejpam-720	44	8	rk	rk	PROPN
ejpam-720	44	9	.	.	PUNCT
ejpam-720	45	1	then	then	ADV
ejpam-720	45	2	f	f	PROPN
ejpam-720	45	3	(	(	PUNCT
ejpam-720	45	4	y	y	PROPN
ejpam-720	45	5	,	,	PUNCT
ejpam-720	45	6	α	α	NOUN
ejpam-720	45	7	)	)	PUNCT
ejpam-720	45	8	=	=	SYM
ejpam-720	45	9	2k	2k	NUM
ejpam-720	45	10	g(y	g(y	PROPN
ejpam-720	45	11	)	)	PUNCT
ejpam-720	45	12	k	k	NOUN
ejpam-720	45	13	∏	∏	X
ejpam-720	45	14	j=1	j=1	NOUN
ejpam-720	45	15	h(α	h(α	ADV
ejpam-720	45	16	je	je	NOUN
ejpam-720	46	1	′	′	NUM
ejpam-720	46	2	j	j	PROPN
ejpam-720	46	3	y	y	PROPN
ejpam-720	46	4	)	)	PUNCT
ejpam-720	46	5	(	(	PUNCT
ejpam-720	46	6	2	2	X
ejpam-720	46	7	)	)	PUNCT
ejpam-720	46	8	defines	define	VERB
ejpam-720	46	9	a	a	DET
ejpam-720	46	10	probability	probability	NOUN
ejpam-720	46	11	density	density	NOUN
ejpam-720	46	12	function	function	NOUN
ejpam-720	46	13	of	of	ADP
ejpam-720	46	14	y	y	PROPN
ejpam-720	46	15	.	.	PUNCT
ejpam-720	47	1	proof	proof	NOUN
ejpam-720	47	2	.	.	PUNCT
ejpam-720	48	1	first	first	ADV
ejpam-720	48	2	note	note	VERB
ejpam-720	48	3	that	that	SCONJ
ejpam-720	49	1	f	f	PROPN
ejpam-720	49	2	(	(	PUNCT
ejpam-720	49	3	y)≥	y)≥	PROPN
ejpam-720	49	4	0	0	PUNCT
ejpam-720	49	5	for	for	ADP
ejpam-720	49	6	all	all	DET
ejpam-720	49	7	y	y	PROPN
ejpam-720	49	8	∈	∈	PROPN
ejpam-720	49	9	rk	rk	NOUN
ejpam-720	49	10	.	.	PUNCT
ejpam-720	50	1	we	we	PRON
ejpam-720	50	2	need	need	VERB
ejpam-720	50	3	to	to	PART
ejpam-720	50	4	show	show	VERB
ejpam-720	50	5	that	that	SCONJ
ejpam-720	50	6	k(α1,α2	k(α1,α2	NOUN
ejpam-720	50	7	,	,	PUNCT
ejpam-720	50	8	...	...	PUNCT
ejpam-720	50	9	,	,	PUNCT
ejpam-720	50	10	αk	αk	NOUN
ejpam-720	50	11	)	)	PUNCT
ejpam-720	50	12	=	=	SYM
ejpam-720	51	1	∫	∫	PROPN
ejpam-720	51	2	rk	rk	PROPN
ejpam-720	51	3	2k	2k	PROPN
ejpam-720	51	4	g(y	g(y	PROPN
ejpam-720	51	5	)	)	PUNCT
ejpam-720	51	6	k	k	NOUN
ejpam-720	51	7	∏	∏	X
ejpam-720	51	8	j=1	j=1	NOUN
ejpam-720	51	9	h(α	h(α	ADV
ejpam-720	51	10	je	je	PROPN
ejpam-720	52	1	′	′	NUM
ejpam-720	52	2	j	j	PROPN
ejpam-720	52	3	y)dy=	y)dy=	NOUN
ejpam-720	52	4	1	1	X
ejpam-720	52	5	.	.	X
ejpam-720	52	6	observe	observe	VERB
ejpam-720	52	7	that	that	SCONJ
ejpam-720	52	8	,	,	PUNCT
ejpam-720	52	9	∂	∂	NUM
ejpam-720	52	10	∂	∂	NUM
ejpam-720	52	11	αℓ	αℓ	PROPN
ejpam-720	52	12	k(α1,α2	k(α1,α2	PROPN
ejpam-720	52	13	,	,	PUNCT
ejpam-720	52	14	...	...	PUNCT
ejpam-720	52	15	,	,	PUNCT
ejpam-720	52	16	αk	αk	NOUN
ejpam-720	52	17	)	)	PUNCT
ejpam-720	52	18	=	=	SYM
ejpam-720	53	1	∫	∫	PROPN
ejpam-720	54	1	rk	rk	PROPN
ejpam-720	54	2	d	d	X
ejpam-720	54	3	dαℓ	dαℓ	NOUN
ejpam-720	54	4	2k	2k	PROPN
ejpam-720	54	5	g(y	g(y	PROPN
ejpam-720	54	6	)	)	PUNCT
ejpam-720	54	7	k	k	NOUN
ejpam-720	54	8	∏	∏	X
ejpam-720	54	9	j=1	j=1	NOUN
ejpam-720	54	10	h(α	h(α	ADV
ejpam-720	54	11	je	je	NOUN
ejpam-720	54	12	′	′	NUM
ejpam-720	55	1	j	j	PROPN
ejpam-720	55	2	y)dy	y)dy	PROPN
ejpam-720	55	3	=	=	SYM
ejpam-720	55	4	∫	∫	PROPN
ejpam-720	55	5	rk	rk	PROPN
ejpam-720	55	6	2k	2k	NUM
ejpam-720	55	7	yℓh	yℓh	NOUN
ejpam-720	55	8	′(αℓe′ℓy	′(αℓe′ℓy	PROPN
ejpam-720	55	9	)	)	PUNCT
ejpam-720	55	10	k	k	PROPN
ejpam-720	55	11	∏	∏	PROPN
ejpam-720	55	12	j	j	PROPN
ejpam-720	55	13	6=ℓ	6=ℓ	NUM
ejpam-720	55	14	h(α	h(α	ADJ
ejpam-720	55	15	je	je	PROPN
ejpam-720	55	16	′	′	NUM
ejpam-720	56	1	j	j	PROPN
ejpam-720	56	2	y)g(y)dy	y)g(y)dy	PROPN
ejpam-720	56	3	d.	d.	PROPN
ejpam-720	56	4	akdemir	akdemir	PROPN
ejpam-720	56	5	,	,	PUNCT
ejpam-720	56	6	a.k	a.k	PROPN
ejpam-720	56	7	.	.	PROPN
ejpam-720	56	8	gupta	gupta	PROPN
ejpam-720	56	9	/	/	SYM
ejpam-720	56	10	eur	eur	PROPN
ejpam-720	56	11	.	.	PUNCT
ejpam-720	57	1	j.	j.	PROPN
ejpam-720	57	2	pure	pure	PROPN
ejpam-720	57	3	appl	appl	PROPN
ejpam-720	57	4	.	.	PROPN
ejpam-720	57	5	math	math	PROPN
ejpam-720	57	6	,	,	PUNCT
ejpam-720	57	7	3	3	NUM
ejpam-720	57	8	(	(	PUNCT
ejpam-720	57	9	2010	2010	NUM
ejpam-720	57	10	)	)	PUNCT
ejpam-720	57	11	,	,	PUNCT
ejpam-720	57	12	128	128	NUM
ejpam-720	57	13	-	-	SYM
ejpam-720	57	14	140	140	NUM
ejpam-720	57	15	130	130	NUM
ejpam-720	57	16	=	=	SYM
ejpam-720	57	17	0	0	NUM
ejpam-720	57	18	.	.	PUNCT
ejpam-720	58	1	the	the	DET
ejpam-720	58	2	first	first	ADJ
ejpam-720	58	3	equality	equality	NOUN
ejpam-720	58	4	is	be	AUX
ejpam-720	58	5	true	true	ADJ
ejpam-720	58	6	because	because	SCONJ
ejpam-720	58	7	of	of	ADP
ejpam-720	58	8	lebesgue	lebesgue	NOUN
ejpam-720	58	9	dominated	dominate	VERB
ejpam-720	58	10	convergence	convergence	NOUN
ejpam-720	58	11	theorem	theorem	VERB
ejpam-720	58	12	;	;	PUNCT
ejpam-720	58	13	the	the	DET
ejpam-720	58	14	last	last	ADJ
ejpam-720	58	15	equality	equality	NOUN
ejpam-720	58	16	is	be	AUX
ejpam-720	58	17	first	first	ADJ
ejpam-720	58	18	due	due	ADJ
ejpam-720	58	19	to	to	ADP
ejpam-720	58	20	independence	independence	NOUN
ejpam-720	58	21	by	by	ADP
ejpam-720	58	22	seeing	see	VERB
ejpam-720	58	23	eg(y)(yℓh	eg(y)(yℓh	NOUN
ejpam-720	58	24	′(αℓe′ℓy	′(αℓe′ℓy	NUM
ejpam-720	58	25	)	)	PUNCT
ejpam-720	58	26	k	k	PROPN
ejpam-720	58	27	∏	∏	PROPN
ejpam-720	58	28	j	j	PROPN
ejpam-720	58	29	6=ℓ	6=ℓ	NUM
ejpam-720	58	30	h(α	h(α	ADJ
ejpam-720	58	31	je	je	PROPN
ejpam-720	58	32	′	′	NUM
ejpam-720	58	33	j	j	PROPN
ejpam-720	58	34	y	y	PROPN
ejpam-720	58	35	)	)	PUNCT
ejpam-720	58	36	)	)	PUNCT
ejpam-720	59	1	=	=	PUNCT
ejpam-720	59	2	eg(y)(yℓh	eg(y)(yℓh	PROPN
ejpam-720	59	3	′(αℓe′ℓy))eg(y	′(αℓe′ℓy))eg(y	PROPN
ejpam-720	59	4	)	)	PUNCT
ejpam-720	59	5	(	(	PUNCT
ejpam-720	59	6	k	k	PROPN
ejpam-720	59	7	∏	∏	PROPN
ejpam-720	59	8	j	j	PROPN
ejpam-720	59	9	6=ℓ	6=ℓ	NUM
ejpam-720	59	10	h(α	h(α	ADJ
ejpam-720	59	11	je	je	PROPN
ejpam-720	60	1	′	′	NUM
ejpam-720	60	2	j	j	PROPN
ejpam-720	60	3	y	y	PROPN
ejpam-720	60	4	)	)	PUNCT
ejpam-720	60	5	)	)	PUNCT
ejpam-720	61	1	and	and	CCONJ
ejpam-720	61	2	because	because	SCONJ
ejpam-720	61	3	g	g	PROPN
ejpam-720	61	4	(	(	PUNCT
ejpam-720	61	5	.	.	PUNCT
ejpam-720	61	6	)	)	PUNCT
ejpam-720	61	7	is	be	AUX
ejpam-720	61	8	centrally	centrally	ADV
ejpam-720	61	9	symmetric	symmetric	ADJ
ejpam-720	61	10	about	about	ADP
ejpam-720	61	11	0	0	NUM
ejpam-720	61	12	,	,	PUNCT
ejpam-720	61	13	yℓh	yℓh	NOUN
ejpam-720	61	14	′(αℓe′ℓy	′(αℓe′ℓy	NUM
ejpam-720	61	15	)	)	PUNCT
ejpam-720	61	16	is	be	AUX
ejpam-720	61	17	an	an	DET
ejpam-720	61	18	odd	odd	ADJ
ejpam-720	61	19	function	function	NOUN
ejpam-720	61	20	of	of	ADP
ejpam-720	61	21	yℓ	yℓ	PROPN
ejpam-720	61	22	,	,	PUNCT
ejpam-720	61	23	eg(y)(yℓh	eg(y)(yℓh	NOUN
ejpam-720	61	24	′(αℓe′ℓy	′(αℓe′ℓy	NUM
ejpam-720	61	25	)	)	PUNCT
ejpam-720	61	26	)	)	PUNCT
ejpam-720	62	1	=	=	PUNCT
ejpam-720	62	2	0	0	X
ejpam-720	62	3	.	.	PUNCT
ejpam-720	63	1	hence	hence	ADV
ejpam-720	63	2	,	,	PUNCT
ejpam-720	63	3	k(α1,α2	k(α1,α2	NOUN
ejpam-720	63	4	,	,	PUNCT
ejpam-720	63	5	...	...	PUNCT
ejpam-720	63	6	,	,	PUNCT
ejpam-720	63	7	αk	αk	NOUN
ejpam-720	63	8	)	)	PUNCT
ejpam-720	63	9	is	be	AUX
ejpam-720	63	10	constant	constant	ADJ
ejpam-720	63	11	as	as	ADP
ejpam-720	63	12	a	a	DET
ejpam-720	63	13	function	function	NOUN
ejpam-720	63	14	of	of	ADP
ejpam-720	63	15	α	α	PROPN
ejpam-720	63	16	j	j	PROPN
ejpam-720	63	17	for	for	ADP
ejpam-720	63	18	all	all	DET
ejpam-720	63	19	j	j	NOUN
ejpam-720	63	20	=	=	SYM
ejpam-720	63	21	1,2	1,2	NUM
ejpam-720	63	22	,	,	PUNCT
ejpam-720	63	23	.	.	PUNCT
ejpam-720	63	24	.	.	PUNCT
ejpam-720	64	1	.	.	PUNCT
ejpam-720	65	1	,	,	PUNCT
ejpam-720	65	2	k	k	X
ejpam-720	65	3	;	;	PUNCT
ejpam-720	65	4	and	and	CCONJ
ejpam-720	65	5	when	when	SCONJ
ejpam-720	65	6	all	all	PRON
ejpam-720	65	7	αi	αi	VERB
ejpam-720	65	8	=	=	SYM
ejpam-720	65	9	0	0	NUM
ejpam-720	65	10	,	,	PUNCT
ejpam-720	65	11	k(α1,α2	k(α1,α2	NOUN
ejpam-720	65	12	,	,	PUNCT
ejpam-720	65	13	...	...	PUNCT
ejpam-720	65	14	,	,	PUNCT
ejpam-720	65	15	αk	αk	NOUN
ejpam-720	65	16	)	)	PUNCT
ejpam-720	65	17	=	=	SYM
ejpam-720	65	18	1	1	X
ejpam-720	65	19	.	.	PUNCT
ejpam-720	66	1	this	this	PRON
ejpam-720	66	2	concludes	conclude	VERB
ejpam-720	66	3	the	the	DET
ejpam-720	66	4	proof	proof	NOUN
ejpam-720	66	5	.	.	PUNCT
ejpam-720	67	1	we	we	PRON
ejpam-720	67	2	will	will	AUX
ejpam-720	67	3	write	write	VERB
ejpam-720	67	4	z	z	NOUN
ejpam-720	67	5	∼	∼	NOUN
ejpam-720	67	6	ss	ss	ADP
ejpam-720	67	7	g	g	PROPN
ejpam-720	67	8	,	,	PUNCT
ejpam-720	67	9	h	h	PROPN
ejpam-720	67	10	k	k	X
ejpam-720	67	11	(	(	PUNCT
ejpam-720	67	12	z;0	z;0	NOUN
ejpam-720	67	13	,	,	PUNCT
ejpam-720	67	14	ik	ik	PROPN
ejpam-720	67	15	,	,	PUNCT
ejpam-720	67	16	α	α	NOUN
ejpam-720	67	17	)	)	PUNCT
ejpam-720	67	18	or	or	CCONJ
ejpam-720	67	19	z	z	NOUN
ejpam-720	67	20	∼	∼	NOUN
ejpam-720	67	21	ss	ss	INTJ
ejpam-720	67	22	g	g	PROPN
ejpam-720	67	23	,	,	PUNCT
ejpam-720	68	1	h	h	PROPN
ejpam-720	68	2	k	k	PROPN
ejpam-720	69	1	(	(	PUNCT
ejpam-720	69	2	α	α	NOUN
ejpam-720	69	3	)	)	PUNCT
ejpam-720	69	4	for	for	ADP
ejpam-720	69	5	a	a	DET
ejpam-720	69	6	random	random	ADJ
ejpam-720	69	7	variable	variable	NOUN
ejpam-720	69	8	with	with	ADP
ejpam-720	69	9	density	density	NOUN
ejpam-720	69	10	given	give	VERB
ejpam-720	69	11	by	by	ADP
ejpam-720	69	12	(	(	PUNCT
ejpam-720	69	13	2	2	NUM
ejpam-720	69	14	)	)	PUNCT
ejpam-720	69	15	.	.	PUNCT
ejpam-720	70	1	for	for	ADP
ejpam-720	70	2	the	the	DET
ejpam-720	70	3	random	random	ADJ
ejpam-720	70	4	vector	vector	NOUN
ejpam-720	70	5	y	y	PROPN
ejpam-720	70	6	=	=	PUNCT
ejpam-720	70	7	az+µ	az+µ	PROPN
ejpam-720	70	8	where	where	SCONJ
ejpam-720	70	9	a	a	PRON
ejpam-720	70	10	is	be	AUX
ejpam-720	70	11	a	a	DET
ejpam-720	70	12	nonsingular	nonsingular	ADJ
ejpam-720	70	13	matrix	matrix	NOUN
ejpam-720	70	14	we	we	PRON
ejpam-720	70	15	will	will	AUX
ejpam-720	70	16	write	write	VERB
ejpam-720	70	17	y	y	NOUN
ejpam-720	70	18	∼	∼	NOUN
ejpam-720	70	19	ss	ss	ADP
ejpam-720	70	20	g	g	PROPN
ejpam-720	70	21	,	,	PUNCT
ejpam-720	70	22	h	h	PROPN
ejpam-720	70	23	k	k	PROPN
ejpam-720	70	24	(	(	PUNCT
ejpam-720	70	25	z;µ,a	z;µ,a	NUM
ejpam-720	70	26	,	,	PUNCT
ejpam-720	70	27	α	α	NOUN
ejpam-720	70	28	)	)	PUNCT
ejpam-720	70	29	or	or	CCONJ
ejpam-720	70	30	y	y	PROPN
ejpam-720	70	31	∼	∼	NOUN
ejpam-720	70	32	ss	ss	INTJ
ejpam-720	70	33	g	g	PROPN
ejpam-720	70	34	,	,	PUNCT
ejpam-720	70	35	h	h	PROPN
ejpam-720	70	36	k	k	X
ejpam-720	70	37	(	(	PUNCT
ejpam-720	70	38	µ,a	µ,a	NOUN
ejpam-720	70	39	,	,	PUNCT
ejpam-720	70	40	α	α	NOUN
ejpam-720	70	41	)	)	PUNCT
ejpam-720	70	42	.	.	PUNCT
ejpam-720	71	1	in	in	ADP
ejpam-720	71	2	the	the	DET
ejpam-720	71	3	next	next	ADJ
ejpam-720	71	4	theorem	theorem	NOUN
ejpam-720	71	5	,	,	PUNCT
ejpam-720	71	6	we	we	PRON
ejpam-720	71	7	relate	relate	VERB
ejpam-720	71	8	the	the	DET
ejpam-720	71	9	distribution	distribution	NOUN
ejpam-720	71	10	of	of	ADP
ejpam-720	71	11	the	the	DET
ejpam-720	71	12	even	even	ADJ
ejpam-720	71	13	powers	power	NOUN
ejpam-720	71	14	of	of	ADP
ejpam-720	71	15	a	a	DET
ejpam-720	71	16	skew	skew	ADJ
ejpam-720	71	17	symmetric	symmetric	ADJ
ejpam-720	71	18	random	random	ADJ
ejpam-720	71	19	variable	variable	NOUN
ejpam-720	71	20	to	to	ADP
ejpam-720	71	21	those	those	PRON
ejpam-720	71	22	of	of	ADP
ejpam-720	71	23	its	its	PRON
ejpam-720	71	24	kernel	kernel	NOUN
ejpam-720	71	25	’s	’s	PART
ejpam-720	71	26	.	.	PUNCT
ejpam-720	72	1	theorem	theorem	NOUN
ejpam-720	72	2	2	2	NUM
ejpam-720	72	3	.	.	PUNCT
ejpam-720	73	1	let	let	VERB
ejpam-720	73	2	x	x	PRON
ejpam-720	73	3	be	be	AUX
ejpam-720	73	4	a	a	DET
ejpam-720	73	5	random	random	ADJ
ejpam-720	73	6	vector	vector	NOUN
ejpam-720	73	7	with	with	ADP
ejpam-720	73	8	probability	probability	NOUN
ejpam-720	73	9	density	density	NOUN
ejpam-720	73	10	function	function	NOUN
ejpam-720	73	11	g(x	g(x	PROPN
ejpam-720	73	12	)	)	PUNCT
ejpam-720	73	13	,	,	PUNCT
ejpam-720	73	14	and	and	CCONJ
ejpam-720	73	15	y	y	PROPN
ejpam-720	73	16	be	be	VERB
ejpam-720	73	17	the	the	DET
ejpam-720	73	18	random	random	ADJ
ejpam-720	73	19	vector	vector	NOUN
ejpam-720	73	20	with	with	ADP
ejpam-720	73	21	probability	probability	NOUN
ejpam-720	73	22	density	density	NOUN
ejpam-720	73	23	function	function	NOUN
ejpam-720	73	24	f	f	PROPN
ejpam-720	73	25	(	(	PUNCT
ejpam-720	73	26	y	y	PROPN
ejpam-720	73	27	,	,	PUNCT
ejpam-720	73	28	α	α	NOUN
ejpam-720	73	29	)	)	PUNCT
ejpam-720	73	30	=	=	SYM
ejpam-720	73	31	2k	2k	NUM
ejpam-720	73	32	g(y	g(y	PROPN
ejpam-720	73	33	)	)	PUNCT
ejpam-720	73	34	k	k	NOUN
ejpam-720	73	35	∏	∏	X
ejpam-720	73	36	j=1	j=1	NOUN
ejpam-720	73	37	h(α	h(α	ADV
ejpam-720	73	38	je	je	NOUN
ejpam-720	73	39	′	′	NUM
ejpam-720	73	40	j	j	PROPN
ejpam-720	73	41	y	y	PROPN
ejpam-720	73	42	)	)	PUNCT
ejpam-720	73	43	where	where	SCONJ
ejpam-720	73	44	g	g	PROPN
ejpam-720	73	45	(	(	PUNCT
ejpam-720	73	46	.	.	PUNCT
ejpam-720	73	47	)	)	PUNCT
ejpam-720	73	48	,	,	PUNCT
ejpam-720	73	49	h	h	NOUN
ejpam-720	73	50	(	(	PUNCT
ejpam-720	73	51	.	.	PUNCT
ejpam-720	73	52	)	)	PUNCT
ejpam-720	74	1	and	and	CCONJ
ejpam-720	74	2	α	α	NOUN
ejpam-720	74	3	are	be	AUX
ejpam-720	74	4	defined	define	VERB
ejpam-720	74	5	as	as	ADP
ejpam-720	74	6	in	in	ADP
ejpam-720	74	7	theorem	theorem	NOUN
ejpam-720	74	8	1	1	NUM
ejpam-720	74	9	.	.	PUNCT
ejpam-720	75	1	then	then	ADV
ejpam-720	75	2	,	,	PUNCT
ejpam-720	75	3	1	1	X
ejpam-720	75	4	.	.	PUNCT
ejpam-720	76	1	the	the	DET
ejpam-720	76	2	even	even	ADJ
ejpam-720	76	3	moments	moment	NOUN
ejpam-720	76	4	of	of	ADP
ejpam-720	76	5	y	y	PROPN
ejpam-720	76	6	and	and	CCONJ
ejpam-720	76	7	x	x	PRON
ejpam-720	76	8	are	be	AUX
ejpam-720	76	9	the	the	DET
ejpam-720	76	10	same	same	ADJ
ejpam-720	76	11	,	,	PUNCT
ejpam-720	76	12	i.e	i.e	PROPN
ejpam-720	76	13	e(y	e(y	ADJ
ejpam-720	76	14	y	y	NOUN
ejpam-720	76	15	′)p	′)p	NUM
ejpam-720	76	16	=	=	SYM
ejpam-720	76	17	e(x	e(x	NOUN
ejpam-720	76	18	x	x	PUNCT
ejpam-720	76	19	′)p	′)p	VERB
ejpam-720	76	20	for	for	ADP
ejpam-720	76	21	p	p	NOUN
ejpam-720	76	22	even	even	ADJ
ejpam-720	76	23	and	and	CCONJ
ejpam-720	76	24	e(y	e(y	ADJ
ejpam-720	76	25	′y)m	′y)m	NOUN
ejpam-720	76	26	=	=	SYM
ejpam-720	76	27	e(x	e(x	NUM
ejpam-720	76	28	′x	′x	PROPN
ejpam-720	76	29	)	)	PUNCT
ejpam-720	76	30	m	m	VERB
ejpam-720	76	31	for	for	ADP
ejpam-720	76	32	any	any	DET
ejpam-720	76	33	natural	natural	ADJ
ejpam-720	76	34	number	number	NOUN
ejpam-720	76	35	m	m	PROPN
ejpam-720	76	36	,	,	PUNCT
ejpam-720	76	37	2	2	X
ejpam-720	76	38	.	.	X
ejpam-720	76	39	y	y	PROPN
ejpam-720	76	40	′y	′y	PROPN
ejpam-720	76	41	and	and	CCONJ
ejpam-720	76	42	x	x	SYM
ejpam-720	76	43	′x	′x	NOUN
ejpam-720	76	44	have	have	VERB
ejpam-720	76	45	the	the	DET
ejpam-720	76	46	same	same	ADJ
ejpam-720	76	47	distribution	distribution	NOUN
ejpam-720	76	48	.	.	PUNCT
ejpam-720	77	1	proof	proof	NOUN
ejpam-720	77	2	.	.	PUNCT
ejpam-720	78	1	it	it	PRON
ejpam-720	78	2	suffices	suffice	VERB
ejpam-720	78	3	to	to	PART
ejpam-720	78	4	show	show	VERB
ejpam-720	78	5	that	that	SCONJ
ejpam-720	78	6	e(x	e(x	NUM
ejpam-720	78	7	n1	n1	ADJ
ejpam-720	78	8	1	1	NUM
ejpam-720	78	9	x	x	SYM
ejpam-720	78	10	n2	n2	NOUN
ejpam-720	78	11	2	2	NUM
ejpam-720	78	12	.	.	PUNCT
ejpam-720	78	13	.	.	PUNCT
ejpam-720	78	14	.	.	PUNCT
ejpam-720	79	1	x	x	X
ejpam-720	79	2	nk	nk	PROPN
ejpam-720	79	3	k	k	PROPN
ejpam-720	79	4	)	)	PUNCT
ejpam-720	80	1	=	=	PUNCT
ejpam-720	80	2	e(y	e(y	ADJ
ejpam-720	80	3	n1	n1	NOUN
ejpam-720	80	4	1	1	NUM
ejpam-720	80	5	y	y	PROPN
ejpam-720	80	6	n2	n2	PROPN
ejpam-720	80	7	2	2	NUM
ejpam-720	80	8	.	.	PUNCT
ejpam-720	80	9	.	.	PUNCT
ejpam-720	80	10	.	.	PUNCT
ejpam-720	81	1	y	y	PROPN
ejpam-720	81	2	nk	nk	PROPN
ejpam-720	81	3	k	k	PROPN
ejpam-720	81	4	)	)	PUNCT
ejpam-720	81	5	for	for	ADP
ejpam-720	81	6	n1	n1	NOUN
ejpam-720	81	7	,	,	PUNCT
ejpam-720	81	8	n2	n2	NOUN
ejpam-720	81	9	,	,	PUNCT
ejpam-720	81	10	.	.	PUNCT
ejpam-720	81	11	.	.	PUNCT
ejpam-720	82	1	.	.	PUNCT
ejpam-720	83	1	,	,	PUNCT
ejpam-720	83	2	nk	nk	PROPN
ejpam-720	83	3	even	even	ADV
ejpam-720	83	4	.	.	PUNCT
ejpam-720	84	1	let	let	AUX
ejpam-720	84	2	ψy(t	ψy(t	PUNCT
ejpam-720	84	3	)	)	PUNCT
ejpam-720	84	4	be	be	AUX
ejpam-720	84	5	the	the	DET
ejpam-720	84	6	characteristic	characteristic	ADJ
ejpam-720	84	7	function	function	NOUN
ejpam-720	84	8	of	of	ADP
ejpam-720	84	9	y	y	PROPN
ejpam-720	84	10	.	.	PUNCT
ejpam-720	85	1	then	then	ADV
ejpam-720	85	2	,	,	PUNCT
ejpam-720	85	3	ψy(t	ψy(t	PUNCT
ejpam-720	85	4	)	)	PUNCT
ejpam-720	86	1	=	=	SYM
ejpam-720	86	2	∫	∫	PROPN
ejpam-720	86	3	rk	rk	PROPN
ejpam-720	86	4	eit′y2k	eit′y2k	PROPN
ejpam-720	86	5	g(y	g(y	PROPN
ejpam-720	86	6	)	)	PUNCT
ejpam-720	86	7	k	k	NOUN
ejpam-720	86	8	∏	∏	X
ejpam-720	86	9	j=1	j=1	NOUN
ejpam-720	86	10	h(α	h(α	ADV
ejpam-720	86	11	je	je	NOUN
ejpam-720	86	12	′	′	NUM
ejpam-720	87	1	j	j	PROPN
ejpam-720	87	2	y)dy	y)dy	PROPN
ejpam-720	87	3	.	.	PUNCT
ejpam-720	88	1	(	(	PUNCT
ejpam-720	88	2	3	3	X
ejpam-720	88	3	)	)	PUNCT
ejpam-720	88	4	let	let	VERB
ejpam-720	88	5	n1	n1	NOUN
ejpam-720	88	6	+	+	CCONJ
ejpam-720	88	7	n2	n2	ADJ
ejpam-720	88	8	+	+	X
ejpam-720	88	9	.	.	PUNCT
ejpam-720	88	10	.	.	PUNCT
ejpam-720	88	11	.	.	PUNCT
ejpam-720	89	1	+	+	CCONJ
ejpam-720	89	2	nk	nk	PROPN
ejpam-720	89	3	=	=	PROPN
ejpam-720	89	4	n.	n.	NOUN
ejpam-720	89	5	taking	take	VERB
ejpam-720	89	6	the	the	DET
ejpam-720	89	7	nth	nth	NOUN
ejpam-720	89	8	j	j	PROPN
ejpam-720	89	9	partial	partial	ADJ
ejpam-720	89	10	derivatives	derivative	NOUN
ejpam-720	89	11	of	of	ADP
ejpam-720	89	12	(	(	PUNCT
ejpam-720	89	13	3	3	NUM
ejpam-720	89	14	)	)	PUNCT
ejpam-720	89	15	with	with	ADP
ejpam-720	89	16	respect	respect	NOUN
ejpam-720	89	17	to	to	ADP
ejpam-720	89	18	t	t	PROPN
ejpam-720	89	19	j	j	PROPN
ejpam-720	89	20	for	for	ADP
ejpam-720	89	21	j	j	PROPN
ejpam-720	89	22	=	=	SYM
ejpam-720	89	23	1,2	1,2	NUM
ejpam-720	89	24	,	,	PUNCT
ejpam-720	89	25	.	.	PUNCT
ejpam-720	89	26	.	.	PUNCT
ejpam-720	89	27	.	.	PUNCT
ejpam-720	90	1	,	,	PUNCT
ejpam-720	90	2	k	k	PROPN
ejpam-720	90	3	and	and	CCONJ
ejpam-720	90	4	putting	put	VERB
ejpam-720	90	5	t	t	NOUN
ejpam-720	90	6	=	=	SYM
ejpam-720	90	7	0	0	PROPN
ejpam-720	90	8	d.	d.	PROPN
ejpam-720	90	9	akdemir	akdemir	PROPN
ejpam-720	90	10	,	,	PUNCT
ejpam-720	90	11	a.k	a.k	PROPN
ejpam-720	90	12	.	.	PROPN
ejpam-720	90	13	gupta	gupta	PROPN
ejpam-720	90	14	/	/	SYM
ejpam-720	90	15	eur	eur	PROPN
ejpam-720	90	16	.	.	PUNCT
ejpam-720	91	1	j.	j.	PROPN
ejpam-720	91	2	pure	pure	PROPN
ejpam-720	91	3	appl	appl	PROPN
ejpam-720	91	4	.	.	PROPN
ejpam-720	91	5	math	math	PROPN
ejpam-720	91	6	,	,	PUNCT
ejpam-720	91	7	3	3	NUM
ejpam-720	91	8	(	(	PUNCT
ejpam-720	91	9	2010	2010	NUM
ejpam-720	91	10	)	)	PUNCT
ejpam-720	91	11	,	,	PUNCT
ejpam-720	91	12	128	128	NUM
ejpam-720	91	13	-	-	SYM
ejpam-720	91	14	140	140	NUM
ejpam-720	91	15	131	131	NUM
ejpam-720	91	16	∂	∂	NUM
ejpam-720	91	17	nψy	nψy	NOUN
ejpam-720	91	18	(	(	PUNCT
ejpam-720	91	19	t	t	PROPN
ejpam-720	91	20	)	)	PUNCT
ejpam-720	91	21	∂	∂	NUM
ejpam-720	92	1	t	t	PROPN
ejpam-720	92	2	n1	n1	PROPN
ejpam-720	92	3	1	1	NUM
ejpam-720	92	4	∂	∂	NUM
ejpam-720	92	5	t	t	NOUN
ejpam-720	92	6	n2	n2	NOUN
ejpam-720	92	7	2	2	NUM
ejpam-720	92	8	.	.	PUNCT
ejpam-720	92	9	.	.	PUNCT
ejpam-720	92	10	.	.	PUNCT
ejpam-720	93	1	∂	∂	NUM
ejpam-720	94	1	t	t	PROPN
ejpam-720	94	2	nk	nk	PROPN
ejpam-720	94	3	k	k	PROPN
ejpam-720	94	4	|t=0	|t=0	PROPN
ejpam-720	94	5	=	=	PUNCT
ejpam-720	94	6	∫	∫	PROPN
ejpam-720	94	7	rk	rk	PROPN
ejpam-720	94	8	∂	∂	PROPN
ejpam-720	94	9	n	n	ADP
ejpam-720	94	10	∂	∂	NUM
ejpam-720	94	11	t	t	NOUN
ejpam-720	94	12	n1	n1	PROPN
ejpam-720	94	13	1	1	NUM
ejpam-720	94	14	∂	∂	NUM
ejpam-720	94	15	t	t	NOUN
ejpam-720	94	16	n2	n2	NOUN
ejpam-720	94	17	2	2	NUM
ejpam-720	94	18	.	.	PUNCT
ejpam-720	94	19	.	.	PUNCT
ejpam-720	95	1	.∂	.∂	PUNCT
ejpam-720	96	1	t	t	PROPN
ejpam-720	97	1	nk	nk	PROPN
ejpam-720	98	1	k	k	PROPN
ejpam-720	99	1	eit′y2k	eit′y2k	PROPN
ejpam-720	100	1	×	×	PROPN
ejpam-720	101	1	k	k	PROPN
ejpam-720	101	2	∏	∏	X
ejpam-720	101	3	j=1	j=1	NOUN
ejpam-720	101	4	h(α	h(α	ADV
ejpam-720	101	5	je	je	NOUN
ejpam-720	102	1	′	′	NUM
ejpam-720	102	2	j	j	PROPN
ejpam-720	102	3	y)g(y)dy|t=0	y)g(y)dy|t=0	PROPN
ejpam-720	103	1	=	=	SYM
ejpam-720	103	2	∫	∫	PROPN
ejpam-720	103	3	rk	rk	PROPN
ejpam-720	104	1	[	[	X
ejpam-720	104	2	eit′y2kin	eit′y2kin	PROPN
ejpam-720	104	3	k	k	PROPN
ejpam-720	104	4	∏	∏	X
ejpam-720	104	5	j=1	j=1	NOUN
ejpam-720	104	6	h(α	h(α	ADV
ejpam-720	104	7	je	je	NOUN
ejpam-720	104	8	′	′	NUM
ejpam-720	104	9	j	j	PROPN
ejpam-720	104	10	y	y	PROPN
ejpam-720	104	11	)	)	PUNCT
ejpam-720	104	12	]	]	PUNCT
ejpam-720	105	1	×	×	NOUN
ejpam-720	105	2	[	[	PUNCT
ejpam-720	105	3	k	k	X
ejpam-720	105	4	∏	∏	PROPN
ejpam-720	106	1	ℓ=1	ℓ=1	ADP
ejpam-720	106	2	y	y	PROPN
ejpam-720	106	3	nℓ	nℓ	NOUN
ejpam-720	106	4	ℓ	ℓ	PROPN
ejpam-720	106	5	]	]	PUNCT
ejpam-720	106	6	g(y)dy|t=0	g(y)dy|t=0	PROPN
ejpam-720	106	7	=	=	PUNCT
ejpam-720	106	8	∫	∫	PROPN
ejpam-720	106	9	rk	rk	PROPN
ejpam-720	107	1	[	[	X
ejpam-720	107	2	2kin	2kin	NUM
ejpam-720	107	3	k	k	SYM
ejpam-720	107	4	∏	∏	X
ejpam-720	107	5	j=1	j=1	NOUN
ejpam-720	107	6	h(α	h(α	ADV
ejpam-720	107	7	je	je	NOUN
ejpam-720	107	8	′	′	NUM
ejpam-720	107	9	j	j	PROPN
ejpam-720	107	10	y	y	PROPN
ejpam-720	107	11	)	)	PUNCT
ejpam-720	107	12	]	]	X
ejpam-720	107	13	[	[	PUNCT
ejpam-720	107	14	k	k	X
ejpam-720	107	15	∏	∏	PROPN
ejpam-720	107	16	ℓ=1	ℓ=1	ADP
ejpam-720	107	17	y	y	PROPN
ejpam-720	107	18	nℓ	nℓ	ADP
ejpam-720	107	19	ℓ	ℓ	PROPN
ejpam-720	107	20	]	]	PUNCT
ejpam-720	107	21	g(y)dy	g(y)dy	PROPN
ejpam-720	107	22	.	.	PUNCT
ejpam-720	108	1	(	(	PUNCT
ejpam-720	108	2	4	4	X
ejpam-720	108	3	)	)	PUNCT
ejpam-720	108	4	taking	take	VERB
ejpam-720	108	5	derivative	derivative	NOUN
ejpam-720	108	6	of	of	ADP
ejpam-720	108	7	(	(	PUNCT
ejpam-720	108	8	4	4	NUM
ejpam-720	108	9	)	)	PUNCT
ejpam-720	108	10	with	with	ADP
ejpam-720	108	11	respect	respect	NOUN
ejpam-720	108	12	to	to	ADP
ejpam-720	108	13	αm	αm	NUM
ejpam-720	108	14	,	,	PUNCT
ejpam-720	108	15	∂	∂	NUM
ejpam-720	108	16	(	(	PUNCT
ejpam-720	108	17	∫	∫	PROPN
ejpam-720	108	18	rk[2	rk[2	PROPN
ejpam-720	108	19	kin	kin	PROPN
ejpam-720	109	1	∏k	∏k	X
ejpam-720	109	2	j=1	j=1	PROPN
ejpam-720	109	3	h(α	h(α	ADV
ejpam-720	109	4	je	je	PROPN
ejpam-720	109	5	′	′	NUM
ejpam-720	109	6	j	j	PROPN
ejpam-720	109	7	y	y	PROPN
ejpam-720	109	8	)	)	PUNCT
ejpam-720	109	9	]	]	PUNCT
ejpam-720	110	1	[	[	PUNCT
ejpam-720	110	2	∏k	∏k	X
ejpam-720	110	3	ℓ=1	ℓ=1	ADP
ejpam-720	110	4	y	y	PROPN
ejpam-720	110	5	nℓ	nℓ	ADP
ejpam-720	110	6	ℓ	ℓ	PROPN
ejpam-720	110	7	]	]	PUNCT
ejpam-720	110	8	g(y)dy	g(y)dy	NOUN
ejpam-720	110	9	)	)	PUNCT
ejpam-720	110	10	∂	∂	NOUN
ejpam-720	110	11	αm	αm	NOUN
ejpam-720	110	12	=	=	SYM
ejpam-720	110	13	2kineg(y)[y	2kineg(y)[y	NUM
ejpam-720	110	14	(	(	PUNCT
ejpam-720	110	15	nm+1	nm+1	NUM
ejpam-720	110	16	)	)	PUNCT
ejpam-720	110	17	m	m	VERB
ejpam-720	110	18	h	h	NOUN
ejpam-720	110	19	′(αme′m	′(αme′m	NOUN
ejpam-720	110	20	y	y	PROPN
ejpam-720	110	21	)	)	PUNCT
ejpam-720	110	22	[	[	PUNCT
ejpam-720	110	23	∏	∏	PROPN
ejpam-720	110	24	j	j	PROPN
ejpam-720	110	25	6	6	NUM
ejpam-720	110	26	=	=	NOUN
ejpam-720	110	27	m	m	VERB
ejpam-720	110	28	y	y	NOUN
ejpam-720	110	29	nℓ	nℓ	ADP
ejpam-720	110	30	ℓ	ℓ	PROPN
ejpam-720	110	31	h(α	h(α	PROPN
ejpam-720	110	32	je	je	PROPN
ejpam-720	111	1	′	′	NUM
ejpam-720	111	2	j	j	PROPN
ejpam-720	111	3	y	y	PROPN
ejpam-720	111	4	)	)	PUNCT
ejpam-720	111	5	]	]	PUNCT
ejpam-720	112	1	=	=	SYM
ejpam-720	112	2	2kineg(y)[y	2kineg(y)[y	NUM
ejpam-720	112	3	(	(	PUNCT
ejpam-720	112	4	nm+1	nm+1	NUM
ejpam-720	112	5	)	)	PUNCT
ejpam-720	112	6	m	m	VERB
ejpam-720	112	7	h	h	NOUN
ejpam-720	112	8	′(αme′m	′(αme′m	NOUN
ejpam-720	112	9	y)]eg(y	y)]eg(y	NOUN
ejpam-720	112	10	)	)	PUNCT
ejpam-720	112	11	[	[	PUNCT
ejpam-720	112	12	∏	∏	PROPN
ejpam-720	112	13	j	j	PROPN
ejpam-720	112	14	6	6	NUM
ejpam-720	112	15	=	=	NOUN
ejpam-720	112	16	m	m	VERB
ejpam-720	112	17	y	y	NOUN
ejpam-720	112	18	nℓ	nℓ	ADP
ejpam-720	112	19	ℓ	ℓ	PROPN
ejpam-720	112	20	h(α	h(α	PROPN
ejpam-720	112	21	je	je	PROPN
ejpam-720	112	22	′	′	NUM
ejpam-720	112	23	j	j	PROPN
ejpam-720	112	24	y	y	PROPN
ejpam-720	112	25	)	)	PUNCT
ejpam-720	112	26	]	]	PUNCT
ejpam-720	113	1	=	=	PUNCT
ejpam-720	113	2	0	0	PUNCT
ejpam-720	114	1	the	the	DET
ejpam-720	114	2	first	first	ADJ
ejpam-720	114	3	equality	equality	NOUN
ejpam-720	114	4	is	be	AUX
ejpam-720	114	5	true	true	ADJ
ejpam-720	114	6	because	because	SCONJ
ejpam-720	114	7	of	of	ADP
ejpam-720	114	8	lebesgue	lebesgue	NOUN
ejpam-720	114	9	dominated	dominate	VERB
ejpam-720	114	10	convergence	convergence	NOUN
ejpam-720	114	11	theorem	theorem	VERB
ejpam-720	114	12	,	,	PUNCT
ejpam-720	114	13	the	the	DET
ejpam-720	114	14	second	second	ADJ
ejpam-720	114	15	equality	equality	NOUN
ejpam-720	114	16	due	due	ADP
ejpam-720	114	17	to	to	ADP
ejpam-720	114	18	the	the	DET
ejpam-720	114	19	independence	independence	NOUN
ejpam-720	114	20	of	of	ADP
ejpam-720	114	21	components	component	NOUN
ejpam-720	114	22	.	.	PUNCT
ejpam-720	115	1	the	the	DET
ejpam-720	115	2	last	last	ADJ
ejpam-720	115	3	equality	equality	NOUN
ejpam-720	115	4	is	be	AUX
ejpam-720	115	5	due	due	ADJ
ejpam-720	115	6	to	to	ADP
ejpam-720	115	7	the	the	DET
ejpam-720	115	8	fact	fact	NOUN
ejpam-720	115	9	that	that	SCONJ
ejpam-720	115	10	y(nm+1	y(nm+1	PROPN
ejpam-720	115	11	)	)	PUNCT
ejpam-720	116	1	m	m	VERB
ejpam-720	116	2	h	h	NOUN
ejpam-720	116	3	′(αm	′(αm	PROPN
ejpam-720	116	4	ym	ym	PROPN
ejpam-720	116	5	)	)	PUNCT
ejpam-720	116	6	is	be	AUX
ejpam-720	116	7	an	an	DET
ejpam-720	116	8	odd	odd	ADJ
ejpam-720	116	9	function	function	NOUN
ejpam-720	116	10	of	of	ADP
ejpam-720	116	11	ym	ym	PRON
ejpam-720	116	12	and	and	CCONJ
ejpam-720	116	13	g	g	PROPN
ejpam-720	116	14	(	(	PUNCT
ejpam-720	116	15	.	.	PUNCT
ejpam-720	116	16	)	)	PUNCT
ejpam-720	117	1	is	be	AUX
ejpam-720	117	2	centrally	centrally	ADV
ejpam-720	117	3	symmetric	symmetric	ADJ
ejpam-720	117	4	about	about	ADP
ejpam-720	117	5	0	0	NUM
ejpam-720	117	6	.	.	PUNCT
ejpam-720	118	1	therefore	therefore	ADV
ejpam-720	118	2	,	,	PUNCT
ejpam-720	118	3	for	for	ADP
ejpam-720	118	4	n1	n1	NOUN
ejpam-720	118	5	,	,	PUNCT
ejpam-720	118	6	n2	n2	NOUN
ejpam-720	118	7	,	,	PUNCT
ejpam-720	118	8	.	.	PUNCT
ejpam-720	118	9	.	.	PUNCT
ejpam-720	118	10	.	.	PUNCT
ejpam-720	119	1	,	,	PUNCT
ejpam-720	119	2	nk	nk	PROPN
ejpam-720	119	3	even	even	ADV
ejpam-720	119	4	,	,	PUNCT
ejpam-720	119	5	e(y	e(y	ADJ
ejpam-720	119	6	n1	n1	NOUN
ejpam-720	119	7	1	1	NUM
ejpam-720	119	8	y	y	PROPN
ejpam-720	119	9	n2	n2	PROPN
ejpam-720	119	10	2	2	NUM
ejpam-720	119	11	.	.	PUNCT
ejpam-720	119	12	.	.	PUNCT
ejpam-720	119	13	.	.	PUNCT
ejpam-720	120	1	y	y	PROPN
ejpam-720	120	2	nk	nk	PROPN
ejpam-720	120	3	k	k	PROPN
ejpam-720	120	4	)	)	PUNCT
ejpam-720	120	5	is	be	AUX
ejpam-720	120	6	constant	constant	ADJ
ejpam-720	120	7	as	as	ADP
ejpam-720	120	8	a	a	DET
ejpam-720	120	9	function	function	NOUN
ejpam-720	120	10	of	of	ADP
ejpam-720	120	11	αm	αm	NOUN
ejpam-720	120	12	.	.	PUNCT
ejpam-720	121	1	if	if	SCONJ
ejpam-720	121	2	all	all	PRON
ejpam-720	121	3	αm	αm	NOUN
ejpam-720	121	4	=	=	SYM
ejpam-720	121	5	0	0	PUNCT
ejpam-720	122	1	then	then	ADV
ejpam-720	122	2	f	f	X
ejpam-720	122	3	(	(	PUNCT
ejpam-720	122	4	x	x	X
ejpam-720	122	5	)	)	PUNCT
ejpam-720	122	6	=	=	SYM
ejpam-720	122	7	g(x	g(x	PROPN
ejpam-720	122	8	)	)	PUNCT
ejpam-720	122	9	and	and	CCONJ
ejpam-720	122	10	therefore	therefore	ADV
ejpam-720	122	11	e(x	e(x	NUM
ejpam-720	122	12	n1	n1	ADJ
ejpam-720	122	13	1	1	NUM
ejpam-720	122	14	x	x	SYM
ejpam-720	122	15	n2	n2	NOUN
ejpam-720	122	16	2	2	NUM
ejpam-720	122	17	.	.	PUNCT
ejpam-720	122	18	.	.	PUNCT
ejpam-720	122	19	.	.	PUNCT
ejpam-720	123	1	x	x	X
ejpam-720	123	2	nk	nk	PROPN
ejpam-720	123	3	k	k	PROPN
ejpam-720	123	4	)	)	PUNCT
ejpam-720	124	1	=	=	PUNCT
ejpam-720	124	2	e(y	e(y	ADJ
ejpam-720	124	3	n1	n1	NOUN
ejpam-720	124	4	1	1	NUM
ejpam-720	124	5	y	y	PROPN
ejpam-720	124	6	n2	n2	PROPN
ejpam-720	124	7	2	2	NUM
ejpam-720	124	8	.	.	PUNCT
ejpam-720	124	9	.	.	PUNCT
ejpam-720	124	10	.	.	PUNCT
ejpam-720	125	1	y	y	PROPN
ejpam-720	125	2	nk	nk	PROPN
ejpam-720	125	3	k	k	PROPN
ejpam-720	125	4	)	)	PUNCT
ejpam-720	125	5	finally	finally	ADV
ejpam-720	125	6	,	,	PUNCT
ejpam-720	125	7	e(x	e(x	NUM
ejpam-720	125	8	n1	n1	ADJ
ejpam-720	125	9	1	1	NUM
ejpam-720	125	10	x	x	SYM
ejpam-720	125	11	n2	n2	NOUN
ejpam-720	125	12	2	2	NUM
ejpam-720	125	13	.	.	PUNCT
ejpam-720	125	14	.	.	PUNCT
ejpam-720	125	15	.	.	PUNCT
ejpam-720	126	1	x	x	X
ejpam-720	126	2	nk	nk	PROPN
ejpam-720	126	3	k	k	PROPN
ejpam-720	126	4	)	)	PUNCT
ejpam-720	127	1	=	=	PUNCT
ejpam-720	127	2	e(y	e(y	ADJ
ejpam-720	127	3	n1	n1	NOUN
ejpam-720	127	4	1	1	NUM
ejpam-720	127	5	y	y	PROPN
ejpam-720	127	6	n2	n2	PROPN
ejpam-720	127	7	2	2	NUM
ejpam-720	127	8	.	.	PUNCT
ejpam-720	127	9	.	.	PUNCT
ejpam-720	127	10	.	.	PUNCT
ejpam-720	128	1	y	y	PROPN
ejpam-720	128	2	nk	nk	PROPN
ejpam-720	128	3	k	k	PROPN
ejpam-720	128	4	)	)	PUNCT
ejpam-720	128	5	is	be	AUX
ejpam-720	128	6	true	true	ADJ
ejpam-720	128	7	for	for	ADP
ejpam-720	128	8	all	all	DET
ejpam-720	128	9	αm	αm	NOUN
ejpam-720	128	10	.	.	PUNCT
ejpam-720	129	1	the	the	DET
ejpam-720	129	2	required	require	VERB
ejpam-720	129	3	results	result	NOUN
ejpam-720	129	4	follow	follow	VERB
ejpam-720	129	5	immediately	immediately	ADV
ejpam-720	129	6	.	.	PUNCT
ejpam-720	130	1	a	a	DET
ejpam-720	130	2	skew	skew	ADJ
ejpam-720	130	3	normal	normal	ADJ
ejpam-720	130	4	density	density	NOUN
ejpam-720	130	5	is	be	AUX
ejpam-720	130	6	obtained	obtain	VERB
ejpam-720	130	7	from	from	ADP
ejpam-720	130	8	normal	normal	ADJ
ejpam-720	130	9	kernel	kernel	NOUN
ejpam-720	130	10	in	in	ADP
ejpam-720	130	11	the	the	DET
ejpam-720	130	12	following	follow	VERB
ejpam-720	130	13	example	example	NOUN
ejpam-720	130	14	.	.	PUNCT
ejpam-720	131	1	d.	d.	PROPN
ejpam-720	131	2	akdemir	akdemir	PROPN
ejpam-720	131	3	,	,	PUNCT
ejpam-720	131	4	a.k	a.k	PROPN
ejpam-720	131	5	.	.	PROPN
ejpam-720	131	6	gupta	gupta	PROPN
ejpam-720	131	7	/	/	SYM
ejpam-720	131	8	eur	eur	PROPN
ejpam-720	131	9	.	.	PUNCT
ejpam-720	132	1	j.	j.	PROPN
ejpam-720	132	2	pure	pure	PROPN
ejpam-720	132	3	appl	appl	PROPN
ejpam-720	132	4	.	.	PROPN
ejpam-720	132	5	math	math	PROPN
ejpam-720	132	6	,	,	PUNCT
ejpam-720	132	7	3	3	NUM
ejpam-720	132	8	(	(	PUNCT
ejpam-720	132	9	2010	2010	NUM
ejpam-720	132	10	)	)	PUNCT
ejpam-720	132	11	,	,	PUNCT
ejpam-720	132	12	128	128	NUM
ejpam-720	132	13	-	-	SYM
ejpam-720	132	14	140	140	NUM
ejpam-720	132	15	132	132	NUM
ejpam-720	132	16	example	example	NOUN
ejpam-720	132	17	1	1	NUM
ejpam-720	132	18	.	.	PUNCT
ejpam-720	133	1	in	in	ADP
ejpam-720	133	2	theorem	theorem	NOUN
ejpam-720	133	3	1	1	NUM
ejpam-720	133	4	above	above	ADV
ejpam-720	133	5	,	,	PUNCT
ejpam-720	133	6	let	let	VERB
ejpam-720	133	7	g	g	NOUN
ejpam-720	133	8	(	(	PUNCT
ejpam-720	133	9	.	.	PUNCT
ejpam-720	133	10	)	)	PUNCT
ejpam-720	134	1	=	=	PUNCT
ejpam-720	134	2	φk	φk	PROPN
ejpam-720	134	3	(	(	PUNCT
ejpam-720	134	4	.	.	PUNCT
ejpam-720	134	5	)	)	PUNCT
ejpam-720	134	6	,	,	PUNCT
ejpam-720	134	7	where	where	SCONJ
ejpam-720	134	8	φk	φk	ADP
ejpam-720	134	9	(	(	PUNCT
ejpam-720	134	10	.	.	PUNCT
ejpam-720	134	11	)	)	PUNCT
ejpam-720	134	12	is	be	AUX
ejpam-720	134	13	the	the	DET
ejpam-720	134	14	k	k	ADJ
ejpam-720	134	15	-	-	ADJ
ejpam-720	134	16	dimensional	dimensional	ADJ
ejpam-720	134	17	standard	standard	ADJ
ejpam-720	134	18	normal	normal	ADJ
ejpam-720	134	19	density	density	NOUN
ejpam-720	134	20	function	function	NOUN
ejpam-720	134	21	.	.	PUNCT
ejpam-720	135	1	also	also	ADV
ejpam-720	135	2	let	let	VERB
ejpam-720	135	3	h	h	NOUN
ejpam-720	135	4	(	(	PUNCT
ejpam-720	135	5	.	.	PUNCT
ejpam-720	135	6	)	)	PUNCT
ejpam-720	136	1	and	and	CCONJ
ejpam-720	136	2	α	α	PRON
ejpam-720	136	3	be	be	AUX
ejpam-720	136	4	defined	define	VERB
ejpam-720	136	5	as	as	ADP
ejpam-720	136	6	in	in	ADP
ejpam-720	136	7	theorem	theorem	NOUN
ejpam-720	136	8	1	1	X
ejpam-720	136	9	.	.	PUNCT
ejpam-720	137	1	we	we	PRON
ejpam-720	137	2	can	can	AUX
ejpam-720	137	3	construct	construct	VERB
ejpam-720	137	4	a	a	DET
ejpam-720	137	5	density	density	NOUN
ejpam-720	137	6	for	for	ADP
ejpam-720	137	7	k	k	ADJ
ejpam-720	137	8	-	-	ADJ
ejpam-720	137	9	dimensional	dimensional	ADJ
ejpam-720	137	10	joint	joint	ADJ
ejpam-720	137	11	p.d.f	p.d.f	NOUN
ejpam-720	137	12	’s	’s	ADV
ejpam-720	137	13	of	of	ADP
ejpam-720	137	14	the	the	DET
ejpam-720	137	15	form	form	NOUN
ejpam-720	137	16	f	f	PROPN
ejpam-720	137	17	(	(	PUNCT
ejpam-720	137	18	y	y	PROPN
ejpam-720	137	19	,	,	PUNCT
ejpam-720	137	20	α	α	NOUN
ejpam-720	137	21	)	)	PUNCT
ejpam-720	137	22	=	=	SYM
ejpam-720	137	23	2kφk(y	2kφk(y	NUM
ejpam-720	137	24	)	)	PUNCT
ejpam-720	137	25	k	k	NOUN
ejpam-720	137	26	∏	∏	X
ejpam-720	137	27	j=1	j=1	NOUN
ejpam-720	137	28	h(α	h(α	ADV
ejpam-720	137	29	je	je	NOUN
ejpam-720	137	30	′	′	NUM
ejpam-720	137	31	j	j	PROPN
ejpam-720	137	32	y	y	PROPN
ejpam-720	137	33	)	)	PUNCT
ejpam-720	137	34	(	(	PUNCT
ejpam-720	137	35	5	5	X
ejpam-720	137	36	)	)	PUNCT
ejpam-720	137	37	this	this	DET
ejpam-720	137	38	density	density	NOUN
ejpam-720	137	39	will	will	AUX
ejpam-720	137	40	be	be	AUX
ejpam-720	137	41	called	call	VERB
ejpam-720	137	42	the	the	DET
ejpam-720	137	43	generalized	generalized	ADJ
ejpam-720	137	44	skew	skew	ADJ
ejpam-720	137	45	normal	normal	ADJ
ejpam-720	137	46	probability	probability	NOUN
ejpam-720	137	47	density	density	NOUN
ejpam-720	137	48	function	function	NOUN
ejpam-720	137	49	and	and	CCONJ
ejpam-720	137	50	will	will	AUX
ejpam-720	137	51	be	be	AUX
ejpam-720	137	52	represented	represent	VERB
ejpam-720	137	53	by	by	ADP
ejpam-720	137	54	snh	snh	PROPN
ejpam-720	137	55	k	k	PROPN
ejpam-720	137	56	(	(	PUNCT
ejpam-720	137	57	y;0	y;0	PROPN
ejpam-720	137	58	,	,	PUNCT
ejpam-720	137	59	i	i	PRON
ejpam-720	137	60	,	,	PUNCT
ejpam-720	137	61	α	α	NOUN
ejpam-720	137	62	)	)	PUNCT
ejpam-720	137	63	.	.	PUNCT
ejpam-720	138	1	for	for	ADP
ejpam-720	138	2	the	the	DET
ejpam-720	138	3	random	random	ADJ
ejpam-720	138	4	vector	vector	NOUN
ejpam-720	138	5	y	y	PROPN
ejpam-720	138	6	with	with	ADP
ejpam-720	138	7	this	this	DET
ejpam-720	138	8	density	density	NOUN
ejpam-720	138	9	we	we	PRON
ejpam-720	138	10	will	will	AUX
ejpam-720	138	11	write	write	VERB
ejpam-720	138	12	y	y	PROPN
ejpam-720	138	13	∼	∼	NOUN
ejpam-720	138	14	snh	snh	NOUN
ejpam-720	138	15	k	k	X
ejpam-720	139	1	(	(	PUNCT
ejpam-720	139	2	0	0	NUM
ejpam-720	139	3	,	,	PUNCT
ejpam-720	139	4	i	i	PRON
ejpam-720	139	5	,	,	PUNCT
ejpam-720	139	6	α	α	NOUN
ejpam-720	139	7	)	)	PUNCT
ejpam-720	139	8	.	.	PUNCT
ejpam-720	140	1	if	if	SCONJ
ejpam-720	140	2	h	h	NOUN
ejpam-720	140	3	(	(	PUNCT
ejpam-720	140	4	.	.	PUNCT
ejpam-720	140	5	)	)	PUNCT
ejpam-720	140	6	is	be	AUX
ejpam-720	140	7	taken	take	VERB
ejpam-720	140	8	as	as	ADP
ejpam-720	140	9	φ	φ	PROPN
ejpam-720	140	10	(	(	PUNCT
ejpam-720	140	11	.	.	PUNCT
ejpam-720	140	12	)	)	PUNCT
ejpam-720	140	13	,	,	PUNCT
ejpam-720	140	14	the	the	DET
ejpam-720	140	15	cdf	cdf	PROPN
ejpam-720	140	16	of	of	ADP
ejpam-720	140	17	the	the	DET
ejpam-720	140	18	standard	standard	ADJ
ejpam-720	140	19	normal	normal	ADJ
ejpam-720	140	20	variable	variable	NOUN
ejpam-720	140	21	,	,	PUNCT
ejpam-720	140	22	then	then	ADV
ejpam-720	140	23	we	we	PRON
ejpam-720	140	24	will	will	AUX
ejpam-720	140	25	drop	drop	VERB
ejpam-720	140	26	the	the	DET
ejpam-720	140	27	super	super	ADJ
ejpam-720	140	28	index	index	NOUN
ejpam-720	140	29	h	h	NOUN
ejpam-720	140	30	and	and	CCONJ
ejpam-720	140	31	this	this	PRON
ejpam-720	140	32	defines	define	VERB
ejpam-720	140	33	the	the	DET
ejpam-720	140	34	skew	skew	ADJ
ejpam-720	140	35	normal	normal	ADJ
ejpam-720	140	36	probability	probability	NOUN
ejpam-720	140	37	density	density	NOUN
ejpam-720	140	38	function	function	NOUN
ejpam-720	140	39	and	and	CCONJ
ejpam-720	140	40	the	the	DET
ejpam-720	140	41	skew	skew	ADJ
ejpam-720	140	42	normal	normal	ADJ
ejpam-720	140	43	random	random	ADJ
ejpam-720	140	44	vector	vector	NOUN
ejpam-720	140	45	.	.	PUNCT
ejpam-720	141	1	using	use	VERB
ejpam-720	141	2	theorem	theorem	NOUN
ejpam-720	141	3	2	2	NUM
ejpam-720	141	4	we	we	PRON
ejpam-720	141	5	can	can	AUX
ejpam-720	141	6	relate	relate	VERB
ejpam-720	141	7	some	some	DET
ejpam-720	141	8	properties	property	NOUN
ejpam-720	141	9	of	of	ADP
ejpam-720	141	10	the	the	DET
ejpam-720	141	11	snk(0	snk(0	NOUN
ejpam-720	141	12	,	,	PUNCT
ejpam-720	141	13	i	i	PRON
ejpam-720	141	14	,	,	PUNCT
ejpam-720	141	15	α	α	NOUN
ejpam-720	141	16	)	)	PUNCT
ejpam-720	141	17	random	random	ADJ
ejpam-720	141	18	vector	vector	NOUN
ejpam-720	141	19	with	with	ADP
ejpam-720	141	20	its	its	PRON
ejpam-720	141	21	kernel	kernel	NOUN
ejpam-720	141	22	,	,	PUNCT
ejpam-720	141	23	the	the	DET
ejpam-720	141	24	standard	standard	ADJ
ejpam-720	141	25	multivariate	multivariate	VERB
ejpam-720	141	26	normal	normal	ADJ
ejpam-720	141	27	random	random	ADJ
ejpam-720	141	28	vector	vector	NOUN
ejpam-720	141	29	with	with	ADP
ejpam-720	141	30	density	density	NOUN
ejpam-720	141	31	φk	φk	ADP
ejpam-720	141	32	(	(	PUNCT
ejpam-720	141	33	.	.	PUNCT
ejpam-720	141	34	)	)	PUNCT
ejpam-720	141	35	.	.	PUNCT
ejpam-720	142	1	let	let	VERB
ejpam-720	142	2	x	x	PUNCT
ejpam-720	142	3	∼	∼	VERB
ejpam-720	142	4	φk(x	φk(x	NOUN
ejpam-720	142	5	)	)	PUNCT
ejpam-720	142	6	,	,	PUNCT
ejpam-720	142	7	and	and	CCONJ
ejpam-720	142	8	y	y	PROPN
ejpam-720	142	9	∼	∼	NOUN
ejpam-720	142	10	snk(0	snk(0	NOUN
ejpam-720	142	11	,	,	PUNCT
ejpam-720	142	12	i	i	PRON
ejpam-720	142	13	,	,	PUNCT
ejpam-720	142	14	α	α	NOUN
ejpam-720	142	15	)	)	PUNCT
ejpam-720	142	16	.	.	PUNCT
ejpam-720	143	1	then	then	ADV
ejpam-720	143	2	,	,	PUNCT
ejpam-720	143	3	1	1	X
ejpam-720	143	4	.	.	PUNCT
ejpam-720	144	1	the	the	DET
ejpam-720	144	2	even	even	ADJ
ejpam-720	144	3	moments	moment	NOUN
ejpam-720	144	4	of	of	ADP
ejpam-720	144	5	y	y	PROPN
ejpam-720	144	6	and	and	CCONJ
ejpam-720	144	7	x	x	PRON
ejpam-720	144	8	are	be	AUX
ejpam-720	144	9	the	the	DET
ejpam-720	144	10	same	same	ADJ
ejpam-720	144	11	,	,	PUNCT
ejpam-720	144	12	i.e	i.e	PROPN
ejpam-720	144	13	e(y	e(y	ADJ
ejpam-720	144	14	y	y	NOUN
ejpam-720	144	15	′)p	′)p	NUM
ejpam-720	144	16	=	=	SYM
ejpam-720	144	17	e(x	e(x	NOUN
ejpam-720	144	18	x	x	PUNCT
ejpam-720	144	19	′)p	′)p	VERB
ejpam-720	144	20	for	for	ADP
ejpam-720	144	21	p	p	NOUN
ejpam-720	144	22	even	even	ADJ
ejpam-720	144	23	and	and	CCONJ
ejpam-720	144	24	e(y	e(y	ADJ
ejpam-720	144	25	′y)m	′y)m	NOUN
ejpam-720	144	26	=	=	SYM
ejpam-720	144	27	e(x	e(x	NUM
ejpam-720	144	28	′x	′x	PROPN
ejpam-720	144	29	)	)	PUNCT
ejpam-720	144	30	m	m	VERB
ejpam-720	144	31	for	for	ADP
ejpam-720	144	32	any	any	DET
ejpam-720	144	33	natural	natural	ADJ
ejpam-720	144	34	number	number	NOUN
ejpam-720	144	35	m	m	PROPN
ejpam-720	144	36	,	,	PUNCT
ejpam-720	144	37	2	2	X
ejpam-720	144	38	.	.	X
ejpam-720	144	39	y	y	PROPN
ejpam-720	144	40	′y	′y	PROPN
ejpam-720	144	41	and	and	CCONJ
ejpam-720	144	42	x	x	SYM
ejpam-720	144	43	′x	′x	NOUN
ejpam-720	144	44	both	both	PRON
ejpam-720	144	45	have	have	VERB
ejpam-720	144	46	χ2	χ2	NOUN
ejpam-720	144	47	k	k	ADJ
ejpam-720	144	48	distribution	distribution	NOUN
ejpam-720	144	49	.	.	PUNCT
ejpam-720	145	1	2	2	X
ejpam-720	145	2	.	.	X
ejpam-720	145	3	matrix	matrix	NOUN
ejpam-720	145	4	variate	variate	NOUN
ejpam-720	145	5	skew	skew	NOUN
ejpam-720	145	6	distributions	distribution	NOUN
ejpam-720	145	7	chen	chen	PROPN
ejpam-720	145	8	and	and	CCONJ
ejpam-720	145	9	gupta	gupta	PROPN
ejpam-720	145	10	extend	extend	VERB
ejpam-720	145	11	the	the	DET
ejpam-720	145	12	matrix	matrix	NOUN
ejpam-720	145	13	normal	normal	ADJ
ejpam-720	145	14	distribution	distribution	NOUN
ejpam-720	145	15	to	to	PART
ejpam-720	145	16	accommodate	accommodate	VERB
ejpam-720	145	17	skewness	skewness	NOUN
ejpam-720	145	18	in	in	ADP
ejpam-720	145	19	the	the	DET
ejpam-720	145	20	following	follow	VERB
ejpam-720	145	21	form	form	NOUN
ejpam-720	145	22	[	[	X
ejpam-720	145	23	4	4	NUM
ejpam-720	145	24	]	]	PUNCT
ejpam-720	145	25	:	:	PUNCT
ejpam-720	145	26	f1(x	f1(x	PROPN
ejpam-720	145	27	;	;	PUNCT
ejpam-720	145	28	σ	σ	PROPN
ejpam-720	145	29	,	,	PUNCT
ejpam-720	145	30	ψ	ψ	PROPN
ejpam-720	145	31	,	,	PUNCT
ejpam-720	145	32	b	b	NOUN
ejpam-720	145	33	)	)	PUNCT
ejpam-720	145	34	=	=	SYM
ejpam-720	145	35	c∗1φk×n(x	c∗1φk×n(x	X
ejpam-720	145	36	;	;	PUNCT
ejpam-720	145	37	0,σ	0,σ	PROPN
ejpam-720	145	38	,	,	PUNCT
ejpam-720	145	39	ψ)φn(x	ψ)φn(x	PART
ejpam-720	145	40	′b;0,ψ	′b;0,ψ	NOUN
ejpam-720	145	41	)	)	PUNCT
ejpam-720	145	42	(	(	PUNCT
ejpam-720	145	43	6	6	NUM
ejpam-720	145	44	)	)	PUNCT
ejpam-720	145	45	where	where	SCONJ
ejpam-720	145	46	c∗1	c∗1	NOUN
ejpam-720	145	47	=	=	SYM
ejpam-720	145	48	(	(	PUNCT
ejpam-720	145	49	φn(0;0	φn(0;0	PROPN
ejpam-720	145	50	,	,	PUNCT
ejpam-720	145	51	(	(	PUNCT
ejpam-720	145	52	1	1	NUM
ejpam-720	145	53	+	+	NUM
ejpam-720	145	54	b′σb)ψ))−1	b′σb)ψ))−1	VERB
ejpam-720	145	55	.	.	PUNCT
ejpam-720	146	1	a	a	DET
ejpam-720	146	2	drawback	drawback	NOUN
ejpam-720	146	3	of	of	ADP
ejpam-720	146	4	this	this	DET
ejpam-720	146	5	definition	definition	NOUN
ejpam-720	146	6	is	be	AUX
ejpam-720	146	7	that	that	SCONJ
ejpam-720	146	8	it	it	PRON
ejpam-720	146	9	allows	allow	VERB
ejpam-720	146	10	independence	independence	NOUN
ejpam-720	146	11	only	only	ADV
ejpam-720	146	12	over	over	ADP
ejpam-720	146	13	its	its	PRON
ejpam-720	146	14	rows	row	NOUN
ejpam-720	146	15	or	or	CCONJ
ejpam-720	146	16	columns	column	NOUN
ejpam-720	146	17	,	,	PUNCT
ejpam-720	146	18	but	but	CCONJ
ejpam-720	146	19	not	not	PART
ejpam-720	146	20	both	both	PRON
ejpam-720	146	21	.	.	PUNCT
ejpam-720	147	1	harrar	harrar	NOUN
ejpam-720	147	2	and	and	CCONJ
ejpam-720	147	3	gupta	gupta	NOUN
ejpam-720	147	4	[	[	X
ejpam-720	147	5	7	7	X
ejpam-720	147	6	]	]	PUNCT
ejpam-720	147	7	give	give	VERB
ejpam-720	147	8	two	two	NUM
ejpam-720	147	9	more	more	ADJ
ejpam-720	147	10	definitions	definition	NOUN
ejpam-720	147	11	for	for	ADP
ejpam-720	147	12	the	the	DET
ejpam-720	147	13	matrix	matrix	NOUN
ejpam-720	147	14	variate	variate	NOUN
ejpam-720	147	15	skew	skew	ADJ
ejpam-720	147	16	normal	normal	ADJ
ejpam-720	147	17	density	density	NOUN
ejpam-720	147	18	:	:	PUNCT
ejpam-720	147	19	f2(x	f2(x	PROPN
ejpam-720	147	20	;	;	PUNCT
ejpam-720	147	21	σ	σ	PROPN
ejpam-720	147	22	,	,	PUNCT
ejpam-720	147	23	ψ	ψ	PROPN
ejpam-720	147	24	,	,	PUNCT
ejpam-720	147	25	b	b	PROPN
ejpam-720	147	26	,	,	PUNCT
ejpam-720	147	27	ω	ω	NOUN
ejpam-720	147	28	)	)	PUNCT
ejpam-720	147	29	=	=	SYM
ejpam-720	147	30	c∗2φk×n(x	c∗2φk×n(x	NUM
ejpam-720	147	31	;	;	PUNCT
ejpam-720	147	32	0,σ	0,σ	VERB
ejpam-720	147	33	,	,	PUNCT
ejpam-720	147	34	ψ)φn(x	ψ)φn(x	PUNCT
ejpam-720	147	35	′b;0,ω	′b;0,ω	VERB
ejpam-720	147	36	)	)	PUNCT
ejpam-720	147	37	(	(	PUNCT
ejpam-720	147	38	7	7	NUM
ejpam-720	147	39	)	)	PUNCT
ejpam-720	147	40	and	and	CCONJ
ejpam-720	147	41	f3(x	f3(x	PROPN
ejpam-720	147	42	;	;	PUNCT
ejpam-720	147	43	σ	σ	PROPN
ejpam-720	147	44	,	,	PUNCT
ejpam-720	147	45	ψ	ψ	PROPN
ejpam-720	147	46	,	,	PUNCT
ejpam-720	147	47	b	b	PROPN
ejpam-720	147	48	,	,	PUNCT
ejpam-720	147	49	b	b	NOUN
ejpam-720	147	50	)	)	PUNCT
ejpam-720	147	51	=	=	SYM
ejpam-720	147	52	c∗3φk×n(x	c∗3φk×n(x	X
ejpam-720	147	53	;	;	PUNCT
ejpam-720	147	54	0,σ	0,σ	PROPN
ejpam-720	147	55	,	,	PUNCT
ejpam-720	147	56	ψ)φ(t	ψ)φ(t	ADJ
ejpam-720	147	57	r(b′x	r(b′x	NOUN
ejpam-720	147	58	)	)	PUNCT
ejpam-720	147	59	,	,	PUNCT
ejpam-720	147	60	0,1	0,1	NUM
ejpam-720	147	61	)	)	PUNCT
ejpam-720	147	62	(	(	PUNCT
ejpam-720	147	63	8)	8)	NUM
ejpam-720	147	64	where	where	SCONJ
ejpam-720	147	65	c∗2	c∗2	NOUN
ejpam-720	147	66	=	=	SYM
ejpam-720	147	67	(	(	PUNCT
ejpam-720	147	68	φn(0	φn(0	PROPN
ejpam-720	147	69	,	,	PUNCT
ejpam-720	147	70	(	(	PUNCT
ejpam-720	147	71	ω	ω	X
ejpam-720	147	72	+	+	CCONJ
ejpam-720	147	73	b′σb)ψ))−1	b′σb)ψ))−1	PROPN
ejpam-720	147	74	,	,	PUNCT
ejpam-720	147	75	c∗3	c∗3	NOUN
ejpam-720	147	76	=	=	PROPN
ejpam-720	147	77	2	2	NUM
ejpam-720	147	78	;	;	PUNCT
ejpam-720	147	79	σ	σ	PROPN
ejpam-720	147	80	,	,	PUNCT
ejpam-720	147	81	ψ	ψ	SYM
ejpam-720	147	82	,	,	PUNCT
ejpam-720	147	83	and	and	CCONJ
ejpam-720	147	84	ω	ω	NOUN
ejpam-720	147	85	are	be	AUX
ejpam-720	147	86	positive	positive	ADJ
ejpam-720	147	87	definite	definite	ADJ
ejpam-720	147	88	covariance	covariance	NOUN
ejpam-720	147	89	matrices	matrix	NOUN
ejpam-720	147	90	of	of	ADP
ejpam-720	147	91	dimensions	dimension	NOUN
ejpam-720	147	92	k	k	PROPN
ejpam-720	147	93	,	,	PUNCT
ejpam-720	147	94	n	n	PROPN
ejpam-720	147	95	and	and	CCONJ
ejpam-720	147	96	n	n	CCONJ
ejpam-720	147	97	respectively	respectively	ADV
ejpam-720	147	98	,	,	PUNCT
ejpam-720	147	99	b	b	PROPN
ejpam-720	147	100	is	be	AUX
ejpam-720	147	101	a	a	DET
ejpam-720	147	102	matrix	matrix	NOUN
ejpam-720	147	103	of	of	ADP
ejpam-720	147	104	dimension	dimension	NOUN
ejpam-720	147	105	k×	k×	PROPN
ejpam-720	147	106	n.	n.	PROPN
ejpam-720	147	107	note	note	VERB
ejpam-720	147	108	that	that	SCONJ
ejpam-720	147	109	if	if	SCONJ
ejpam-720	147	110	ω	ω	PROPN
ejpam-720	147	111	=	=	SYM
ejpam-720	147	112	ψ	ψ	X
ejpam-720	147	113	then	then	ADV
ejpam-720	147	114	f2	f2	PROPN
ejpam-720	147	115	is	be	AUX
ejpam-720	147	116	the	the	DET
ejpam-720	147	117	same	same	ADJ
ejpam-720	147	118	as	as	ADP
ejpam-720	147	119	f1	f1	NOUN
ejpam-720	147	120	.	.	PUNCT
ejpam-720	148	1	although	although	SCONJ
ejpam-720	148	2	,	,	PUNCT
ejpam-720	148	3	more	more	ADV
ejpam-720	148	4	general	general	ADJ
ejpam-720	148	5	than	than	ADP
ejpam-720	148	6	f1	f1	NOUN
ejpam-720	148	7	,	,	PUNCT
ejpam-720	148	8	the	the	DET
ejpam-720	148	9	density	density	NOUN
ejpam-720	148	10	f2	f2	PROPN
ejpam-720	148	11	still	still	ADV
ejpam-720	148	12	does	do	AUX
ejpam-720	148	13	not	not	PART
ejpam-720	148	14	permit	permit	VERB
ejpam-720	148	15	independence	independence	NOUN
ejpam-720	148	16	of	of	ADP
ejpam-720	148	17	rows	row	NOUN
ejpam-720	148	18	and	and	CCONJ
ejpam-720	148	19	columns	column	NOUN
ejpam-720	148	20	simultaneously	simultaneously	ADV
ejpam-720	148	21	.	.	PUNCT
ejpam-720	149	1	a	a	DET
ejpam-720	149	2	very	very	ADV
ejpam-720	149	3	general	general	ADJ
ejpam-720	149	4	definition	definition	NOUN
ejpam-720	149	5	of	of	ADP
ejpam-720	149	6	skew	skew	ADJ
ejpam-720	149	7	symmetric	symmetric	ADJ
ejpam-720	149	8	variable	variable	NOUN
ejpam-720	149	9	for	for	ADP
ejpam-720	149	10	the	the	DET
ejpam-720	149	11	matrix	matrix	NOUN
ejpam-720	149	12	case	case	NOUN
ejpam-720	149	13	can	can	AUX
ejpam-720	149	14	be	be	AUX
ejpam-720	149	15	obtained	obtain	VERB
ejpam-720	149	16	from	from	ADP
ejpam-720	149	17	matrix	matrix	NOUN
ejpam-720	149	18	variate	variate	NOUN
ejpam-720	149	19	selection	selection	NOUN
ejpam-720	149	20	models	model	NOUN
ejpam-720	149	21	.	.	PUNCT
ejpam-720	150	1	suppose	suppose	VERB
ejpam-720	150	2	x	x	PRON
ejpam-720	150	3	is	be	AUX
ejpam-720	150	4	a	a	DET
ejpam-720	150	5	k×	k×	PROPN
ejpam-720	150	6	n	n	CCONJ
ejpam-720	150	7	random	random	ADJ
ejpam-720	150	8	matrix	matrix	NOUN
ejpam-720	150	9	with	with	ADP
ejpam-720	150	10	density	density	NOUN
ejpam-720	150	11	f	f	PROPN
ejpam-720	150	12	(	(	PUNCT
ejpam-720	150	13	x	x	PROPN
ejpam-720	150	14	)	)	PUNCT
ejpam-720	150	15	,	,	PUNCT
ejpam-720	150	16	let	let	VERB
ejpam-720	150	17	g(x	g(x	PROPN
ejpam-720	150	18	)	)	PUNCT
ejpam-720	150	19	be	be	AUX
ejpam-720	150	20	a	a	DET
ejpam-720	150	21	weight	weight	NOUN
ejpam-720	150	22	function	function	NOUN
ejpam-720	150	23	.	.	PUNCT
ejpam-720	151	1	a	a	DET
ejpam-720	151	2	weighted	weight	VERB
ejpam-720	151	3	form	form	NOUN
ejpam-720	151	4	of	of	ADP
ejpam-720	151	5	density	density	NOUN
ejpam-720	151	6	f	f	PROPN
ejpam-720	151	7	(	(	PUNCT
ejpam-720	151	8	x	x	X
ejpam-720	151	9	)	)	PUNCT
ejpam-720	151	10	is	be	AUX
ejpam-720	151	11	given	give	VERB
ejpam-720	151	12	by	by	ADP
ejpam-720	151	13	h(x	h(x	PROPN
ejpam-720	151	14	)	)	PUNCT
ejpam-720	152	1	=	=	PUNCT
ejpam-720	152	2	f	f	PROPN
ejpam-720	152	3	(	(	PUNCT
ejpam-720	152	4	x	x	X
ejpam-720	152	5	)	)	PUNCT
ejpam-720	152	6	g(x	g(x	PROPN
ejpam-720	152	7	)	)	PUNCT
ejpam-720	153	1	∫	∫	PROPN
ejpam-720	153	2	r	r	NOUN
ejpam-720	153	3	k×n	k×n	PROPN
ejpam-720	153	4	g(x	g(x	PROPN
ejpam-720	153	5	)	)	PUNCT
ejpam-720	154	1	f	f	PROPN
ejpam-720	154	2	(	(	PUNCT
ejpam-720	154	3	x	x	X
ejpam-720	154	4	)	)	PUNCT
ejpam-720	154	5	dx	dx	PROPN
ejpam-720	154	6	.	.	PUNCT
ejpam-720	155	1	(	(	PUNCT
ejpam-720	155	2	9	9	X
ejpam-720	155	3	)	)	PUNCT
ejpam-720	155	4	d.	d.	PROPN
ejpam-720	155	5	akdemir	akdemir	PROPN
ejpam-720	155	6	,	,	PUNCT
ejpam-720	155	7	a.k	a.k	PROPN
ejpam-720	155	8	.	.	PROPN
ejpam-720	155	9	gupta	gupta	PROPN
ejpam-720	155	10	/	/	SYM
ejpam-720	155	11	eur	eur	PROPN
ejpam-720	155	12	.	.	PUNCT
ejpam-720	156	1	j.	j.	PROPN
ejpam-720	156	2	pure	pure	PROPN
ejpam-720	156	3	appl	appl	PROPN
ejpam-720	156	4	.	.	PROPN
ejpam-720	156	5	math	math	PROPN
ejpam-720	156	6	,	,	PUNCT
ejpam-720	156	7	3	3	NUM
ejpam-720	156	8	(	(	PUNCT
ejpam-720	156	9	2010	2010	NUM
ejpam-720	156	10	)	)	PUNCT
ejpam-720	156	11	,	,	PUNCT
ejpam-720	156	12	128	128	NUM
ejpam-720	156	13	-	-	SYM
ejpam-720	156	14	140	140	NUM
ejpam-720	156	15	133	133	NUM
ejpam-720	156	16	when	when	SCONJ
ejpam-720	156	17	the	the	DET
ejpam-720	156	18	sample	sample	NOUN
ejpam-720	156	19	is	be	AUX
ejpam-720	156	20	only	only	ADV
ejpam-720	156	21	a	a	DET
ejpam-720	156	22	subset	subset	NOUN
ejpam-720	156	23	of	of	ADP
ejpam-720	156	24	the	the	DET
ejpam-720	156	25	population	population	NOUN
ejpam-720	156	26	then	then	ADV
ejpam-720	156	27	the	the	DET
ejpam-720	156	28	associated	associated	ADJ
ejpam-720	156	29	model	model	NOUN
ejpam-720	156	30	would	would	AUX
ejpam-720	156	31	be	be	AUX
ejpam-720	156	32	called	call	VERB
ejpam-720	156	33	a	a	DET
ejpam-720	156	34	selection	selection	NOUN
ejpam-720	156	35	model	model	NOUN
ejpam-720	156	36	.	.	PUNCT
ejpam-720	157	1	in	in	ADP
ejpam-720	157	2	the	the	DET
ejpam-720	157	3	next	next	ADJ
ejpam-720	157	4	section	section	NOUN
ejpam-720	157	5	,	,	PUNCT
ejpam-720	157	6	a	a	DET
ejpam-720	157	7	construction	construction	NOUN
ejpam-720	157	8	for	for	ADP
ejpam-720	157	9	a	a	DET
ejpam-720	157	10	family	family	NOUN
ejpam-720	157	11	of	of	ADP
ejpam-720	157	12	matrix	matrix	NOUN
ejpam-720	157	13	variate	variate	NOUN
ejpam-720	157	14	skew	skew	ADJ
ejpam-720	157	15	-	-	PUNCT
ejpam-720	157	16	symmetric	symmetric	ADJ
ejpam-720	157	17	densities	density	NOUN
ejpam-720	157	18	that	that	PRON
ejpam-720	157	19	allows	allow	VERB
ejpam-720	157	20	for	for	ADP
ejpam-720	157	21	independence	independence	NOUN
ejpam-720	157	22	among	among	ADP
ejpam-720	157	23	both	both	DET
ejpam-720	157	24	variables	variable	NOUN
ejpam-720	157	25	and	and	CCONJ
ejpam-720	157	26	individuals	individual	NOUN
ejpam-720	157	27	is	be	AUX
ejpam-720	157	28	studied	study	VERB
ejpam-720	157	29	.	.	PUNCT
ejpam-720	158	1	2.1	2.1	NUM
ejpam-720	158	2	.	.	PUNCT
ejpam-720	158	3	matrix	matrix	NOUN
ejpam-720	158	4	variate	variate	NOUN
ejpam-720	158	5	skew	skew	NOUN
ejpam-720	158	6	symmetric	symmetric	ADJ
ejpam-720	158	7	distribution	distribution	NOUN
ejpam-720	158	8	to	to	PART
ejpam-720	158	9	define	define	VERB
ejpam-720	158	10	a	a	DET
ejpam-720	158	11	matrix	matrix	NOUN
ejpam-720	158	12	variate	variate	NOUN
ejpam-720	158	13	distribution	distribution	NOUN
ejpam-720	158	14	from	from	ADP
ejpam-720	158	15	the	the	DET
ejpam-720	158	16	multivariate	multivariate	NOUN
ejpam-720	158	17	skew	skew	NOUN
ejpam-720	158	18	symmetric	symmetric	ADJ
ejpam-720	158	19	distribution	distribution	NOUN
ejpam-720	158	20	first	first	ADV
ejpam-720	158	21	assume	assume	VERB
ejpam-720	158	22	that	that	SCONJ
ejpam-720	158	23	z	z	NOUN
ejpam-720	158	24	i	i	PRON
ejpam-720	158	25	∼	∼	VERB
ejpam-720	158	26	ss	ss	ADP
ejpam-720	158	27	g	g	PROPN
ejpam-720	158	28	,	,	PUNCT
ejpam-720	158	29	h	h	PROPN
ejpam-720	158	30	k	k	X
ejpam-720	158	31	(	(	PUNCT
ejpam-720	158	32	0	0	NUM
ejpam-720	158	33	,	,	PUNCT
ejpam-720	158	34	ik	ik	X
ejpam-720	158	35	,	,	PUNCT
ejpam-720	158	36	αi	αi	NOUN
ejpam-720	158	37	)	)	PUNCT
ejpam-720	158	38	for	for	ADP
ejpam-720	158	39	i	i	X
ejpam-720	158	40	=	=	SYM
ejpam-720	158	41	1,2	1,2	NUM
ejpam-720	158	42	,	,	PUNCT
ejpam-720	158	43	.	.	PUNCT
ejpam-720	158	44	.	.	PUNCT
ejpam-720	159	1	.	.	PUNCT
ejpam-720	160	1	,	,	PUNCT
ejpam-720	160	2	n	n	PRON
ejpam-720	160	3	are	be	AUX
ejpam-720	160	4	independently	independently	ADV
ejpam-720	160	5	distributed	distribute	VERB
ejpam-720	160	6	random	random	ADJ
ejpam-720	160	7	variables	variable	NOUN
ejpam-720	160	8	.	.	PUNCT
ejpam-720	161	1	write	write	VERB
ejpam-720	161	2	z	z	PROPN
ejpam-720	161	3	=	=	SYM
ejpam-720	161	4	(	(	PUNCT
ejpam-720	161	5	z1	z1	PROPN
ejpam-720	161	6	,	,	PUNCT
ejpam-720	161	7	z2	z2	PROPN
ejpam-720	161	8	,	,	PUNCT
ejpam-720	161	9	.	.	PUNCT
ejpam-720	161	10	.	.	PUNCT
ejpam-720	161	11	.	.	PUNCT
ejpam-720	162	1	,	,	PUNCT
ejpam-720	162	2	zn	zn	X
ejpam-720	162	3	)	)	PUNCT
ejpam-720	162	4	.	.	PUNCT
ejpam-720	163	1	we	we	PRON
ejpam-720	163	2	can	can	AUX
ejpam-720	163	3	write	write	VERB
ejpam-720	163	4	the	the	DET
ejpam-720	163	5	density	density	NOUN
ejpam-720	163	6	of	of	ADP
ejpam-720	163	7	x	x	PUNCT
ejpam-720	163	8	as	as	ADP
ejpam-720	163	9	a	a	DET
ejpam-720	163	10	product	product	NOUN
ejpam-720	163	11	as	as	SCONJ
ejpam-720	163	12	follows	follow	VERB
ejpam-720	163	13	,	,	PUNCT
ejpam-720	163	14	n	n	CCONJ
ejpam-720	163	15	∏	∏	PROPN
ejpam-720	163	16	i=1	i=1	PROPN
ejpam-720	163	17	2k	2k	PROPN
ejpam-720	163	18	g∗(z	g∗(z	NOUN
ejpam-720	163	19	)	)	PUNCT
ejpam-720	163	20	k	k	NOUN
ejpam-720	163	21	∏	∏	X
ejpam-720	163	22	j=1	j=1	NOUN
ejpam-720	163	23	h(α	h(α	PROPN
ejpam-720	163	24	jie	jie	PROPN
ejpam-720	164	1	′	′	NUM
ejpam-720	165	1	j	j	PROPN
ejpam-720	165	2	z	z	PROPN
ejpam-720	165	3	i	i	PROPN
ejpam-720	165	4	)	)	PUNCT
ejpam-720	165	5	.	.	PUNCT
ejpam-720	166	1	this	this	PRON
ejpam-720	166	2	is	be	AUX
ejpam-720	166	3	equal	equal	ADJ
ejpam-720	166	4	to	to	ADP
ejpam-720	166	5	2nk	2nk	ADJ
ejpam-720	166	6	g∗∗(z	g∗∗(z	PROPN
ejpam-720	166	7	)	)	PUNCT
ejpam-720	166	8	n	n	CCONJ
ejpam-720	166	9	∏	∏	PROPN
ejpam-720	167	1	i=1	i=1	PROPN
ejpam-720	168	1	k	k	PROPN
ejpam-720	168	2	∏	∏	X
ejpam-720	168	3	j=1	j=1	NOUN
ejpam-720	168	4	h(α	h(α	ADJ
ejpam-720	168	5	jie	jie	PROPN
ejpam-720	169	1	′	′	NUM
ejpam-720	170	1	j	j	PROPN
ejpam-720	170	2	zc	zc	INTJ
ejpam-720	170	3	i	i	PROPN
ejpam-720	170	4	)	)	PUNCT
ejpam-720	170	5	.	.	PUNCT
ejpam-720	171	1	let	let	VERB
ejpam-720	171	2	a	a	PRON
ejpam-720	171	3	,	,	PUNCT
ejpam-720	171	4	and	and	CCONJ
ejpam-720	171	5	b	b	X
ejpam-720	171	6	be	be	AUX
ejpam-720	171	7	nonsingular	nonsingular	ADJ
ejpam-720	171	8	symmetric	symmetric	ADJ
ejpam-720	171	9	matrices	matrix	NOUN
ejpam-720	171	10	of	of	ADP
ejpam-720	171	11	order	order	NOUN
ejpam-720	171	12	k	k	NOUN
ejpam-720	171	13	,	,	PUNCT
ejpam-720	171	14	and	and	CCONJ
ejpam-720	171	15	n	n	CCONJ
ejpam-720	171	16	respectively	respectively	ADV
ejpam-720	171	17	,	,	PUNCT
ejpam-720	171	18	also	also	ADV
ejpam-720	171	19	assume	assume	VERB
ejpam-720	171	20	m	m	NOUN
ejpam-720	171	21	is	be	AUX
ejpam-720	171	22	a	a	DET
ejpam-720	171	23	k×	k×	PROPN
ejpam-720	171	24	n	n	NUM
ejpam-720	171	25	matrix	matrix	NOUN
ejpam-720	171	26	.	.	PUNCT
ejpam-720	172	1	define	define	VERB
ejpam-720	172	2	the	the	DET
ejpam-720	172	3	matrix	matrix	NOUN
ejpam-720	172	4	variate	variate	NOUN
ejpam-720	172	5	skew	skew	NOUN
ejpam-720	172	6	symmetric	symmetric	ADJ
ejpam-720	172	7	variable	variable	NOUN
ejpam-720	172	8	as	as	ADP
ejpam-720	172	9	x	x	X
ejpam-720	172	10	=	=	PUNCT
ejpam-720	172	11	azb+m	azb+m	PROPN
ejpam-720	172	12	.	.	PUNCT
ejpam-720	173	1	definition	definition	NOUN
ejpam-720	173	2	1	1	NUM
ejpam-720	173	3	.	.	PUNCT
ejpam-720	174	1	(	(	PUNCT
ejpam-720	174	2	matrix	matrix	NOUN
ejpam-720	174	3	variate	variate	NOUN
ejpam-720	174	4	skew	skew	ADJ
ejpam-720	174	5	-	-	PUNCT
ejpam-720	174	6	symmetric	symmetric	ADJ
ejpam-720	174	7	density	density	NOUN
ejpam-720	174	8	)	)	PUNCT
ejpam-720	174	9	let	let	VERB
ejpam-720	174	10	g	g	NOUN
ejpam-720	174	11	(	(	PUNCT
ejpam-720	174	12	.	.	PUNCT
ejpam-720	174	13	)	)	PUNCT
ejpam-720	174	14	be	be	AUX
ejpam-720	174	15	a	a	DET
ejpam-720	174	16	density	density	NOUN
ejpam-720	174	17	function	function	NOUN
ejpam-720	174	18	symmetric	symmetric	ADJ
ejpam-720	174	19	about	about	ADP
ejpam-720	174	20	0	0	NUM
ejpam-720	174	21	,	,	PUNCT
ejpam-720	174	22	h	h	NOUN
ejpam-720	174	23	(	(	PUNCT
ejpam-720	174	24	.	.	PUNCT
ejpam-720	174	25	)	)	PUNCT
ejpam-720	174	26	be	be	AUX
ejpam-720	174	27	an	an	DET
ejpam-720	174	28	absolutely	absolutely	ADV
ejpam-720	174	29	continuous	continuous	ADJ
ejpam-720	174	30	cumulative	cumulative	ADJ
ejpam-720	174	31	distribution	distribution	NOUN
ejpam-720	174	32	function	function	NOUN
ejpam-720	174	33	with	with	ADP
ejpam-720	174	34	h	h	NOUN
ejpam-720	174	35	′	′	PROPN
ejpam-720	174	36	(	(	PUNCT
ejpam-720	174	37	.	.	PUNCT
ejpam-720	174	38	)	)	PUNCT
ejpam-720	175	1	symmetric	symmetric	ADJ
ejpam-720	175	2	about	about	ADP
ejpam-720	175	3	0	0	NUM
ejpam-720	175	4	.	.	PUNCT
ejpam-720	176	1	a	a	DET
ejpam-720	176	2	variable	variable	NOUN
ejpam-720	176	3	x	x	PUNCT
ejpam-720	176	4	has	have	VERB
ejpam-720	176	5	matrix	matrix	NOUN
ejpam-720	176	6	variate	variate	NOUN
ejpam-720	176	7	skew	skew	NOUN
ejpam-720	176	8	symmetric	symmetric	ADJ
ejpam-720	176	9	distribution	distribution	NOUN
ejpam-720	176	10	if	if	SCONJ
ejpam-720	176	11	it	it	PRON
ejpam-720	176	12	has	have	VERB
ejpam-720	176	13	probability	probability	NOUN
ejpam-720	176	14	density	density	NOUN
ejpam-720	176	15	function	function	NOUN
ejpam-720	176	16	2nk	2nk	ADJ
ejpam-720	176	17	g∗∗(a−1(x	g∗∗(a−1(x	NOUN
ejpam-720	176	18	−m)b−1	−m)b−1	NOUN
ejpam-720	176	19	)	)	PUNCT
ejpam-720	176	20	∏n	∏n	VERB
ejpam-720	176	21	i=1	i=1	PROPN
ejpam-720	177	1	∏k	∏k	X
ejpam-720	177	2	j=1	j=1	ADJ
ejpam-720	177	3	h(α	h(α	PROPN
ejpam-720	177	4	jie	jie	PROPN
ejpam-720	177	5	′	′	NUM
ejpam-720	178	1	j(a	j(a	PROPN
ejpam-720	178	2	−1(x	−1(x	PROPN
ejpam-720	178	3	−m)b−1)c	−m)b−1)c	PROPN
ejpam-720	178	4	i	i	PROPN
ejpam-720	178	5	)	)	PUNCT
ejpam-720	178	6	|a|n|b|k	|a|n|b|k	PROPN
ejpam-720	178	7	(	(	PUNCT
ejpam-720	178	8	10	10	NUM
ejpam-720	178	9	)	)	PUNCT
ejpam-720	178	10	where	where	SCONJ
ejpam-720	178	11	α	α	PROPN
ejpam-720	178	12	ji	ji	PROPN
ejpam-720	178	13	are	be	AUX
ejpam-720	178	14	real	real	ADJ
ejpam-720	178	15	scalars	scalar	NOUN
ejpam-720	178	16	,	,	PUNCT
ejpam-720	178	17	m	m	VERB
ejpam-720	178	18	∈	∈	PROPN
ejpam-720	178	19	rk×n	rk×n	NOUN
ejpam-720	178	20	,	,	PUNCT
ejpam-720	178	21	a	a	PRON
ejpam-720	178	22	and	and	CCONJ
ejpam-720	178	23	b	b	NOUN
ejpam-720	178	24	be	be	AUX
ejpam-720	178	25	nonsingular	nonsingular	ADJ
ejpam-720	178	26	symmetric	symmetric	ADJ
ejpam-720	178	27	matrices	matrix	NOUN
ejpam-720	178	28	of	of	ADP
ejpam-720	178	29	order	order	NOUN
ejpam-720	178	30	k	k	NOUN
ejpam-720	178	31	and	and	CCONJ
ejpam-720	178	32	n	n	PRON
ejpam-720	178	33	respectively	respectively	ADV
ejpam-720	178	34	.	.	PUNCT
ejpam-720	179	1	finally	finally	ADV
ejpam-720	179	2	,	,	PUNCT
ejpam-720	179	3	g∗∗(x	g∗∗(x	ADJ
ejpam-720	179	4	)	)	PUNCT
ejpam-720	179	5	=	=	SYM
ejpam-720	179	6	∏n	∏n	ADJ
ejpam-720	179	7	i=1	i=1	PROPN
ejpam-720	180	1	∏k	∏k	X
ejpam-720	180	2	j=1	j=1	ADJ
ejpam-720	180	3	g(yi	g(yi	PROPN
ejpam-720	180	4	j	j	PROPN
ejpam-720	180	5	)	)	PUNCT
ejpam-720	180	6	.	.	PUNCT
ejpam-720	181	1	the	the	DET
ejpam-720	181	2	density	density	NOUN
ejpam-720	181	3	is	be	AUX
ejpam-720	181	4	called	call	VERB
ejpam-720	181	5	matrix	matrix	NOUN
ejpam-720	181	6	variate	variate	NOUN
ejpam-720	181	7	skewsymmetric	skewsymmetric	ADJ
ejpam-720	181	8	density	density	NOUN
ejpam-720	181	9	with	with	ADP
ejpam-720	181	10	location	location	NOUN
ejpam-720	181	11	parameter	parameter	NOUN
ejpam-720	181	12	m	m	NOUN
ejpam-720	181	13	,	,	PUNCT
ejpam-720	181	14	scale	scale	NOUN
ejpam-720	181	15	parameters	parameter	NOUN
ejpam-720	181	16	(	(	PUNCT
ejpam-720	181	17	a	a	DET
ejpam-720	181	18	,	,	PUNCT
ejpam-720	181	19	b	b	NOUN
ejpam-720	181	20	)	)	PUNCT
ejpam-720	181	21	,	,	PUNCT
ejpam-720	181	22	and	and	CCONJ
ejpam-720	181	23	shape	shape	NOUN
ejpam-720	181	24	parameter	parameter	NOUN
ejpam-720	181	25	∆=	∆=	PROPN
ejpam-720	181	26	(	(	PUNCT
ejpam-720	181	27	α	α	PROPN
ejpam-720	181	28	ji	ji	PROPN
ejpam-720	181	29	)	)	PUNCT
ejpam-720	181	30	,	,	PUNCT
ejpam-720	181	31	and	and	CCONJ
ejpam-720	181	32	it	it	PRON
ejpam-720	181	33	is	be	AUX
ejpam-720	181	34	denoted	denote	VERB
ejpam-720	181	35	by	by	ADP
ejpam-720	181	36	mss	mss	PROPN
ejpam-720	181	37	g	g	PROPN
ejpam-720	181	38	,	,	PUNCT
ejpam-720	182	1	h	h	PROPN
ejpam-720	182	2	k×n	k×n	PROPN
ejpam-720	182	3	(	(	PUNCT
ejpam-720	182	4	m	m	PROPN
ejpam-720	182	5	,	,	PUNCT
ejpam-720	182	6	a	a	PRON
ejpam-720	182	7	,	,	PUNCT
ejpam-720	182	8	b,∆	b,∆	NOUN
ejpam-720	182	9	)	)	PUNCT
ejpam-720	182	10	.	.	PUNCT
ejpam-720	183	1	let	let	VERB
ejpam-720	183	2	z	z	NOUN
ejpam-720	183	3	∼	∼	VERB
ejpam-720	183	4	mss	mss	PROPN
ejpam-720	183	5	g	g	PROPN
ejpam-720	183	6	,	,	PUNCT
ejpam-720	183	7	h	h	PROPN
ejpam-720	183	8	k×n	k×n	PROPN
ejpam-720	183	9	(	(	PUNCT
ejpam-720	183	10	0k×n	0k×n	PROPN
ejpam-720	183	11	,	,	PUNCT
ejpam-720	183	12	ik	ik	X
ejpam-720	183	13	,	,	PUNCT
ejpam-720	183	14	in,∆	in,∆	PROPN
ejpam-720	183	15	)	)	PUNCT
ejpam-720	183	16	.	.	PUNCT
ejpam-720	184	1	the	the	DET
ejpam-720	184	2	moment	moment	NOUN
ejpam-720	184	3	generating	generate	VERB
ejpam-720	184	4	function	function	NOUN
ejpam-720	184	5	of	of	ADP
ejpam-720	184	6	z	z	PROPN
ejpam-720	184	7	evaluated	evaluate	VERB
ejpam-720	184	8	at	at	ADP
ejpam-720	184	9	tk×n	tk×n	PROPN
ejpam-720	184	10	∈	∈	NOUN
ejpam-720	184	11	r	r	NOUN
ejpam-720	184	12	k×n	k×n	PROPN
ejpam-720	184	13	is	be	AUX
ejpam-720	184	14	mz	mz	PROPN
ejpam-720	184	15	(	(	PUNCT
ejpam-720	184	16	tk×n	tk×n	NOUN
ejpam-720	184	17	)	)	PUNCT
ejpam-720	184	18	and	and	CCONJ
ejpam-720	184	19	can	can	AUX
ejpam-720	184	20	be	be	AUX
ejpam-720	184	21	obtained	obtain	VERB
ejpam-720	184	22	as	as	ADP
ejpam-720	184	23	follows	follow	VERB
ejpam-720	184	24	:	:	PUNCT
ejpam-720	185	1	mz	mz	PROPN
ejpam-720	185	2	(	(	PUNCT
ejpam-720	185	3	tk×n	tk×n	NOUN
ejpam-720	185	4	)	)	PUNCT
ejpam-720	185	5	=	=	SYM
ejpam-720	185	6	e(etr(t	e(etr(t	PROPN
ejpam-720	185	7	′k×nz	′k×nz	PROPN
ejpam-720	185	8	)	)	PUNCT
ejpam-720	185	9	)	)	PUNCT
ejpam-720	186	1	=	=	SYM
ejpam-720	187	1	∫	∫	PROPN
ejpam-720	188	1	r	r	NOUN
ejpam-720	188	2	k×n	k×n	PROPN
ejpam-720	188	3	etr(t	etr(t	PROPN
ejpam-720	188	4	′k×nz)2k	′k×nz)2k	PROPN
ejpam-720	188	5	g∗∗(z	g∗∗(z	NOUN
ejpam-720	188	6	)	)	PUNCT
ejpam-720	188	7	n	n	CCONJ
ejpam-720	188	8	∏	∏	PROPN
ejpam-720	188	9	i=1	i=1	PROPN
ejpam-720	188	10	k	k	PROPN
ejpam-720	188	11	∏	∏	X
ejpam-720	188	12	j=1	j=1	NOUN
ejpam-720	188	13	h(α	h(α	ADJ
ejpam-720	188	14	jie	jie	PROPN
ejpam-720	188	15	′	′	NUM
ejpam-720	189	1	j	j	PROPN
ejpam-720	189	2	zc	zc	X
ejpam-720	190	1	i)dz	i)dz	PROPN
ejpam-720	190	2	=	=	PROPN
ejpam-720	190	3	eg∗∗(z)(etr(t	eg∗∗(z)(etr(t	PROPN
ejpam-720	190	4	′k×nz	′k×nz	PROPN
ejpam-720	190	5	)	)	PUNCT
ejpam-720	190	6	n	n	CCONJ
ejpam-720	190	7	∏	∏	PROPN
ejpam-720	190	8	i=1	i=1	PROPN
ejpam-720	190	9	k	k	PROPN
ejpam-720	190	10	∏	∏	X
ejpam-720	190	11	j=1	j=1	NOUN
ejpam-720	190	12	h(α	h(α	ADJ
ejpam-720	190	13	jie	jie	PROPN
ejpam-720	191	1	′	′	NUM
ejpam-720	192	1	j	j	PROPN
ejpam-720	192	2	zc	zc	INTJ
ejpam-720	192	3	i	i	PROPN
ejpam-720	192	4	)	)	PUNCT
ejpam-720	192	5	)	)	PUNCT
ejpam-720	192	6	.	.	PUNCT
ejpam-720	193	1	d.	d.	PROPN
ejpam-720	193	2	akdemir	akdemir	PROPN
ejpam-720	193	3	,	,	PUNCT
ejpam-720	193	4	a.k	a.k	PROPN
ejpam-720	193	5	.	.	PROPN
ejpam-720	193	6	gupta	gupta	PROPN
ejpam-720	193	7	/	/	SYM
ejpam-720	193	8	eur	eur	PROPN
ejpam-720	193	9	.	.	PUNCT
ejpam-720	194	1	j.	j.	PROPN
ejpam-720	194	2	pure	pure	PROPN
ejpam-720	194	3	appl	appl	PROPN
ejpam-720	194	4	.	.	PROPN
ejpam-720	194	5	math	math	PROPN
ejpam-720	194	6	,	,	PUNCT
ejpam-720	194	7	3	3	NUM
ejpam-720	194	8	(	(	PUNCT
ejpam-720	194	9	2010	2010	NUM
ejpam-720	194	10	)	)	PUNCT
ejpam-720	194	11	,	,	PUNCT
ejpam-720	194	12	128	128	NUM
ejpam-720	194	13	-	-	SYM
ejpam-720	194	14	140	140	NUM
ejpam-720	194	15	134	134	NUM
ejpam-720	194	16	let	let	VERB
ejpam-720	194	17	x	x	PUNCT
ejpam-720	194	18	=	=	PRON
ejpam-720	194	19	azb	azb	PROPN
ejpam-720	195	1	+	+	PROPN
ejpam-720	195	2	m	m	VERB
ejpam-720	196	1	where	where	SCONJ
ejpam-720	196	2	a	a	DET
ejpam-720	196	3	(	(	PUNCT
ejpam-720	196	4	k×	k×	PROPN
ejpam-720	196	5	k	k	PROPN
ejpam-720	196	6	)	)	PUNCT
ejpam-720	196	7	,	,	PUNCT
ejpam-720	196	8	b	b	X
ejpam-720	196	9	(	(	PUNCT
ejpam-720	196	10	n×	n×	PROPN
ejpam-720	196	11	n	n	CCONJ
ejpam-720	196	12	)	)	PUNCT
ejpam-720	196	13	and	and	CCONJ
ejpam-720	196	14	m	m	PROPN
ejpam-720	196	15	(	(	PUNCT
ejpam-720	196	16	k×	k×	PROPN
ejpam-720	196	17	n	n	CCONJ
ejpam-720	196	18	)	)	PUNCT
ejpam-720	196	19	are	be	AUX
ejpam-720	196	20	constant	constant	ADJ
ejpam-720	196	21	matrices	matrix	NOUN
ejpam-720	196	22	.	.	PUNCT
ejpam-720	197	1	then	then	ADV
ejpam-720	197	2	moment	moment	VERB
ejpam-720	197	3	generating	generate	VERB
ejpam-720	197	4	function	function	NOUN
ejpam-720	197	5	of	of	ADP
ejpam-720	197	6	x	x	PUNCT
ejpam-720	197	7	evaluated	evaluate	VERB
ejpam-720	197	8	at	at	ADP
ejpam-720	197	9	tk×n	tk×n	PROPN
ejpam-720	197	10	is	be	AUX
ejpam-720	197	11	mx	mx	PROPN
ejpam-720	197	12	(	(	PUNCT
ejpam-720	197	13	tk×n	tk×n	NOUN
ejpam-720	197	14	):	):	PUNCT
ejpam-720	197	15	mx	mx	PROPN
ejpam-720	197	16	(	(	PUNCT
ejpam-720	197	17	tk×n	tk×n	NOUN
ejpam-720	197	18	)	)	PUNCT
ejpam-720	197	19	=	=	PUNCT
ejpam-720	198	1	etr(t	etr(t	NOUN
ejpam-720	198	2	′k×nm)mz	′k×nm)mz	PROPN
ejpam-720	198	3	(	(	PUNCT
ejpam-720	198	4	a	a	DET
ejpam-720	198	5	′tk×nb′	′tk×nb′	NOUN
ejpam-720	198	6	)	)	PUNCT
ejpam-720	198	7	=	=	SYM
ejpam-720	198	8	etr(t	etr(t	NOUN
ejpam-720	198	9	′k×nm)eg∗∗(z)(etr((bt	′k×nm)eg∗∗(z)(etr((bt	ADP
ejpam-720	198	10	′k×na)z	′k×na)z	PROPN
ejpam-720	198	11	)	)	PUNCT
ejpam-720	198	12	n	n	CCONJ
ejpam-720	198	13	∏	∏	PROPN
ejpam-720	198	14	i=1	i=1	PROPN
ejpam-720	198	15	k	k	PROPN
ejpam-720	198	16	∏	∏	X
ejpam-720	198	17	j=1	j=1	NOUN
ejpam-720	198	18	h(α	h(α	ADJ
ejpam-720	198	19	jie	jie	PROPN
ejpam-720	198	20	′	′	NUM
ejpam-720	199	1	j	j	PROPN
ejpam-720	199	2	zc	zc	INTJ
ejpam-720	199	3	i	i	PROPN
ejpam-720	199	4	)	)	PUNCT
ejpam-720	199	5	)	)	PUNCT
ejpam-720	199	6	.	.	PUNCT
ejpam-720	200	1	definition	definition	NOUN
ejpam-720	200	2	2	2	NUM
ejpam-720	200	3	.	.	PUNCT
ejpam-720	201	1	(	(	PUNCT
ejpam-720	201	2	matrix	matrix	NOUN
ejpam-720	201	3	variate	variate	NOUN
ejpam-720	201	4	skew	skew	NOUN
ejpam-720	201	5	symmetric	symmetric	ADJ
ejpam-720	201	6	distributions	distribution	NOUN
ejpam-720	201	7	)	)	PUNCT
ejpam-720	201	8	let	let	VERB
ejpam-720	201	9	g	g	NOUN
ejpam-720	201	10	(	(	PUNCT
ejpam-720	201	11	.	.	PUNCT
ejpam-720	201	12	)	)	PUNCT
ejpam-720	201	13	be	be	AUX
ejpam-720	201	14	a	a	DET
ejpam-720	201	15	density	density	NOUN
ejpam-720	201	16	function	function	NOUN
ejpam-720	201	17	symmetric	symmetric	ADJ
ejpam-720	201	18	about	about	ADP
ejpam-720	201	19	0	0	NUM
ejpam-720	201	20	,	,	PUNCT
ejpam-720	201	21	h	h	NOUN
ejpam-720	201	22	(	(	PUNCT
ejpam-720	201	23	.	.	PUNCT
ejpam-720	201	24	)	)	PUNCT
ejpam-720	201	25	be	be	AUX
ejpam-720	201	26	an	an	DET
ejpam-720	201	27	absolutely	absolutely	ADV
ejpam-720	201	28	continuous	continuous	ADJ
ejpam-720	201	29	cumulative	cumulative	ADJ
ejpam-720	201	30	distribution	distribution	NOUN
ejpam-720	201	31	function	function	NOUN
ejpam-720	201	32	with	with	ADP
ejpam-720	201	33	h	h	NOUN
ejpam-720	201	34	′	′	PROPN
ejpam-720	201	35	(	(	PUNCT
ejpam-720	201	36	.	.	PUNCT
ejpam-720	201	37	)	)	PUNCT
ejpam-720	202	1	symmetric	symmetric	ADJ
ejpam-720	202	2	about	about	ADP
ejpam-720	202	3	0	0	NUM
ejpam-720	202	4	.	.	PUNCT
ejpam-720	203	1	let	let	VERB
ejpam-720	203	2	zi	zi	NOUN
ejpam-720	203	3	j	j	PROPN
ejpam-720	203	4	∼	∼	NOUN
ejpam-720	203	5	f	f	PROPN
ejpam-720	203	6	(	(	PUNCT
ejpam-720	203	7	zi	zi	PROPN
ejpam-720	203	8	j	j	PROPN
ejpam-720	203	9	,	,	PUNCT
ejpam-720	203	10	α	α	PROPN
ejpam-720	203	11	ji	ji	PROPN
ejpam-720	203	12	)	)	PUNCT
ejpam-720	203	13	=	=	SYM
ejpam-720	203	14	2g(zi	2g(zi	NUM
ejpam-720	203	15	j)h(α	j)h(α	X
ejpam-720	203	16	jiz	jiz	NOUN
ejpam-720	203	17	)	)	PUNCT
ejpam-720	203	18	for	for	ADP
ejpam-720	203	19	i	i	X
ejpam-720	203	20	=	=	SYM
ejpam-720	203	21	1,2	1,2	NUM
ejpam-720	203	22	,	,	PUNCT
ejpam-720	203	23	.	.	PUNCT
ejpam-720	203	24	.	.	PUNCT
ejpam-720	204	1	.	.	PUNCT
ejpam-720	205	1	,	,	PUNCT
ejpam-720	205	2	n	n	CCONJ
ejpam-720	205	3	,	,	PUNCT
ejpam-720	205	4	and	and	CCONJ
ejpam-720	205	5	j	j	PROPN
ejpam-720	205	6	=	=	SYM
ejpam-720	205	7	1,2	1,2	NUM
ejpam-720	205	8	,	,	PUNCT
ejpam-720	205	9	.	.	PUNCT
ejpam-720	205	10	.	.	PUNCT
ejpam-720	206	1	.	.	PUNCT
ejpam-720	207	1	,	,	PUNCT
ejpam-720	207	2	k	k	X
ejpam-720	207	3	be	be	VERB
ejpam-720	207	4	independent	independent	ADJ
ejpam-720	207	5	variables	variable	NOUN
ejpam-720	207	6	.	.	PUNCT
ejpam-720	208	1	then	then	ADV
ejpam-720	208	2	the	the	DET
ejpam-720	208	3	matrix	matrix	NOUN
ejpam-720	208	4	variate	variate	NOUN
ejpam-720	208	5	random	random	ADJ
ejpam-720	208	6	variable	variable	NOUN
ejpam-720	208	7	z	z	NOUN
ejpam-720	208	8	=	=	SYM
ejpam-720	208	9	(	(	PUNCT
ejpam-720	208	10	zi	zi	PROPN
ejpam-720	208	11	j	j	PROPN
ejpam-720	208	12	)	)	PUNCT
ejpam-720	208	13	has	have	VERB
ejpam-720	208	14	density	density	NOUN
ejpam-720	208	15	2nk	2nk	ADJ
ejpam-720	208	16	g∗∗(z	g∗∗(z	PROPN
ejpam-720	208	17	)	)	PUNCT
ejpam-720	208	18	n	n	CCONJ
ejpam-720	209	1	∏	∏	PROPN
ejpam-720	210	1	i=1	i=1	PROPN
ejpam-720	211	1	k	k	PROPN
ejpam-720	211	2	∏	∏	X
ejpam-720	211	3	j=1	j=1	NOUN
ejpam-720	211	4	h(α	h(α	ADJ
ejpam-720	211	5	jie	jie	PROPN
ejpam-720	212	1	′	′	NUM
ejpam-720	213	1	j	j	PROPN
ejpam-720	213	2	zc	zc	INTJ
ejpam-720	213	3	i	i	PROPN
ejpam-720	213	4	)	)	PUNCT
ejpam-720	213	5	where	where	SCONJ
ejpam-720	213	6	g∗∗(z	g∗∗(z	NOUN
ejpam-720	213	7	)	)	PUNCT
ejpam-720	213	8	=	=	SYM
ejpam-720	213	9	∏n	∏n	ADJ
ejpam-720	213	10	i=1	i=1	X
ejpam-720	214	1	∏k	∏k	X
ejpam-720	214	2	j=1	j=1	PROPN
ejpam-720	214	3	g(zi	g(zi	NUM
ejpam-720	214	4	j	j	PROPN
ejpam-720	214	5	)	)	PUNCT
ejpam-720	214	6	,	,	PUNCT
ejpam-720	214	7	and	and	CCONJ
ejpam-720	214	8	e′j	e′j	ADJ
ejpam-720	214	9	and	and	CCONJ
ejpam-720	214	10	c′i	c′i	NOUN
ejpam-720	214	11	are	be	AUX
ejpam-720	214	12	the	the	DET
ejpam-720	214	13	elementary	elementary	ADJ
ejpam-720	214	14	vectors	vector	NOUN
ejpam-720	214	15	of	of	ADP
ejpam-720	214	16	the	the	DET
ejpam-720	214	17	coordinate	coordinate	NOUN
ejpam-720	214	18	system	system	NOUN
ejpam-720	214	19	rk	rk	NOUN
ejpam-720	214	20	and	and	CCONJ
ejpam-720	214	21	rn	rn	PROPN
ejpam-720	214	22	respectively	respectively	ADV
ejpam-720	214	23	.	.	PUNCT
ejpam-720	215	1	let	let	VERB
ejpam-720	215	2	x	x	PUNCT
ejpam-720	215	3	=	=	PUNCT
ejpam-720	215	4	azb+m	azb+m	PROPN
ejpam-720	215	5	where	where	SCONJ
ejpam-720	215	6	a	a	PRON
ejpam-720	215	7	(	(	PUNCT
ejpam-720	215	8	k×	k×	PROPN
ejpam-720	215	9	k	k	PROPN
ejpam-720	215	10	)	)	PUNCT
ejpam-720	215	11	,	,	PUNCT
ejpam-720	215	12	b	b	X
ejpam-720	215	13	(	(	PUNCT
ejpam-720	215	14	n×	n×	PROPN
ejpam-720	215	15	n	n	CCONJ
ejpam-720	215	16	)	)	PUNCT
ejpam-720	215	17	and	and	CCONJ
ejpam-720	215	18	m	m	PROPN
ejpam-720	215	19	(	(	PUNCT
ejpam-720	215	20	k×	k×	PROPN
ejpam-720	215	21	n	n	CCONJ
ejpam-720	215	22	)	)	PUNCT
ejpam-720	215	23	are	be	AUX
ejpam-720	215	24	constant	constant	ADJ
ejpam-720	215	25	matrices	matrix	NOUN
ejpam-720	215	26	.	.	PUNCT
ejpam-720	216	1	then	then	ADV
ejpam-720	216	2	the	the	DET
ejpam-720	216	3	random	random	ADJ
ejpam-720	216	4	variable	variable	NOUN
ejpam-720	216	5	x	x	X
ejpam-720	216	6	=	=	SYM
ejpam-720	216	7	azb	azb	PROPN
ejpam-720	217	1	+	+	X
ejpam-720	217	2	m	m	PROPN
ejpam-720	217	3	has	have	VERB
ejpam-720	217	4	matrix	matrix	NOUN
ejpam-720	217	5	variate	variate	NOUN
ejpam-720	217	6	skew	skew	NOUN
ejpam-720	217	7	symmetric	symmetric	ADJ
ejpam-720	217	8	distribution	distribution	NOUN
ejpam-720	217	9	with	with	ADP
ejpam-720	217	10	location	location	NOUN
ejpam-720	217	11	parameter	parameter	NOUN
ejpam-720	217	12	m	m	NOUN
ejpam-720	217	13	,	,	PUNCT
ejpam-720	217	14	scale	scale	NOUN
ejpam-720	217	15	parameters	parameter	NOUN
ejpam-720	217	16	(	(	PUNCT
ejpam-720	217	17	a	a	DET
ejpam-720	217	18	,	,	PUNCT
ejpam-720	217	19	b	b	NOUN
ejpam-720	217	20	)	)	PUNCT
ejpam-720	217	21	,	,	PUNCT
ejpam-720	217	22	and	and	CCONJ
ejpam-720	217	23	shape	shape	NOUN
ejpam-720	217	24	parameter∆=	parameter∆=	NOUN
ejpam-720	217	25	(	(	PUNCT
ejpam-720	217	26	α	α	X
ejpam-720	217	27	ji	ji	PROPN
ejpam-720	217	28	)	)	PUNCT
ejpam-720	217	29	.	.	PUNCT
ejpam-720	218	1	we	we	PRON
ejpam-720	218	2	denote	denote	VERB
ejpam-720	218	3	this	this	PRON
ejpam-720	218	4	by	by	ADP
ejpam-720	218	5	x	x	PUNCT
ejpam-720	218	6	∼	∼	NOUN
ejpam-720	218	7	mss	mss	PROPN
ejpam-720	218	8	g	g	PROPN
ejpam-720	218	9	,	,	PUNCT
ejpam-720	218	10	h	h	PROPN
ejpam-720	218	11	k×n	k×n	PROPN
ejpam-720	218	12	(	(	PUNCT
ejpam-720	218	13	m	m	PROPN
ejpam-720	218	14	,	,	PUNCT
ejpam-720	218	15	a	a	PRON
ejpam-720	218	16	,	,	PUNCT
ejpam-720	218	17	b,∆	b,∆	NOUN
ejpam-720	218	18	)	)	PUNCT
ejpam-720	218	19	.	.	PUNCT
ejpam-720	219	1	2.2	2.2	NUM
ejpam-720	219	2	.	.	PUNCT
ejpam-720	219	3	matrix	matrix	NOUN
ejpam-720	219	4	variate	variate	NOUN
ejpam-720	219	5	skew	skew	ADJ
ejpam-720	219	6	-	-	ADJ
ejpam-720	219	7	normal	normal	ADJ
ejpam-720	219	8	distribution	distribution	NOUN
ejpam-720	219	9	definition	definition	NOUN
ejpam-720	219	10	3	3	NUM
ejpam-720	219	11	.	.	PUNCT
ejpam-720	220	1	(	(	PUNCT
ejpam-720	220	2	matrix	matrix	NOUN
ejpam-720	220	3	variate	variate	NOUN
ejpam-720	220	4	skew	skew	ADJ
ejpam-720	220	5	normal	normal	ADJ
ejpam-720	220	6	density	density	NOUN
ejpam-720	220	7	)	)	PUNCT
ejpam-720	220	8	.	.	PUNCT
ejpam-720	221	1	we	we	PRON
ejpam-720	221	2	call	call	VERB
ejpam-720	221	3	2knφk×n(a	2knφk×n(a	NUM
ejpam-720	221	4	−1(x	−1(x	NOUN
ejpam-720	221	5	−m)b−1	−m)b−1	NOUN
ejpam-720	221	6	)	)	PUNCT
ejpam-720	222	1	∏k	∏k	X
ejpam-720	222	2	j=1	j=1	PROPN
ejpam-720	222	3	∏n	∏n	PROPN
ejpam-720	222	4	i=1φ(α	i=1φ(α	PROPN
ejpam-720	222	5	jie	jie	NOUN
ejpam-720	222	6	′	′	NUM
ejpam-720	223	1	j(a	j(a	PROPN
ejpam-720	223	2	−1(x	−1(x	PROPN
ejpam-720	223	3	−m)b−1)c	−m)b−1)c	PROPN
ejpam-720	223	4	i	i	PROPN
ejpam-720	223	5	)	)	PUNCT
ejpam-720	223	6	|a|n|b|k	|a|n|b|k	PROPN
ejpam-720	223	7	(	(	PUNCT
ejpam-720	223	8	11	11	NUM
ejpam-720	223	9	)	)	PUNCT
ejpam-720	223	10	the	the	DET
ejpam-720	223	11	matrix	matrix	NOUN
ejpam-720	223	12	variate	variate	NOUN
ejpam-720	223	13	skew	skew	ADJ
ejpam-720	223	14	normal	normal	ADJ
ejpam-720	223	15	density	density	NOUN
ejpam-720	223	16	with	with	ADP
ejpam-720	223	17	location	location	NOUN
ejpam-720	223	18	parameter	parameter	NOUN
ejpam-720	223	19	m	m	NOUN
ejpam-720	223	20	,	,	PUNCT
ejpam-720	223	21	scale	scale	NOUN
ejpam-720	223	22	parameters	parameter	NOUN
ejpam-720	223	23	(	(	PUNCT
ejpam-720	223	24	a	a	DET
ejpam-720	223	25	,	,	PUNCT
ejpam-720	223	26	b	b	NOUN
ejpam-720	223	27	)	)	PUNCT
ejpam-720	223	28	,	,	PUNCT
ejpam-720	223	29	and	and	CCONJ
ejpam-720	223	30	shape	shape	NOUN
ejpam-720	223	31	parameter	parameter	NOUN
ejpam-720	223	32	∆.	∆.	X
ejpam-720	223	33	we	we	PRON
ejpam-720	223	34	denote	denote	VERB
ejpam-720	223	35	it	it	PRON
ejpam-720	223	36	by	by	ADP
ejpam-720	223	37	msnk×n(m	msnk×n(m	PROPN
ejpam-720	223	38	,	,	PUNCT
ejpam-720	223	39	a	a	PRON
ejpam-720	223	40	,	,	PUNCT
ejpam-720	223	41	b,∆	b,∆	NUM
ejpam-720	223	42	)	)	PUNCT
ejpam-720	223	43	.	.	PUNCT
ejpam-720	224	1	we	we	PRON
ejpam-720	224	2	will	will	AUX
ejpam-720	224	3	need	need	VERB
ejpam-720	224	4	the	the	DET
ejpam-720	224	5	following	following	ADJ
ejpam-720	224	6	lemmas	lemmas	NOUN
ejpam-720	224	7	:	:	PUNCT
ejpam-720	224	8	see	see	VERB
ejpam-720	224	9	zacks	zack	NOUN
ejpam-720	224	10	[	[	X
ejpam-720	224	11	9	9	NUM
ejpam-720	224	12	]	]	PUNCT
ejpam-720	224	13	and	and	CCONJ
ejpam-720	224	14	chen	chen	PROPN
ejpam-720	224	15	and	and	CCONJ
ejpam-720	224	16	gupta	gupta	PROPN
ejpam-720	224	17	[	[	X
ejpam-720	224	18	4	4	NUM
ejpam-720	224	19	]	]	PUNCT
ejpam-720	224	20	.	.	PUNCT
ejpam-720	225	1	lemma	lemma	PROPN
ejpam-720	225	2	1	1	X
ejpam-720	225	3	.	.	PUNCT
ejpam-720	226	1	let	let	VERB
ejpam-720	226	2	z	z	NOUN
ejpam-720	226	3	∼	∼	VERB
ejpam-720	226	4	φk(z	φk(z	NOUN
ejpam-720	226	5	)	)	PUNCT
ejpam-720	226	6	.	.	PUNCT
ejpam-720	227	1	for	for	ADP
ejpam-720	227	2	scalar	scalar	ADJ
ejpam-720	227	3	b	b	NOUN
ejpam-720	227	4	,	,	PUNCT
ejpam-720	227	5	a	a	DET
ejpam-720	227	6	∈	∈	ADJ
ejpam-720	227	7	rk	rk	NOUN
ejpam-720	227	8	,	,	PUNCT
ejpam-720	227	9	and	and	CCONJ
ejpam-720	227	10	for	for	ADP
ejpam-720	227	11	σ	σ	NOUN
ejpam-720	227	12	a	a	DET
ejpam-720	227	13	positive	positive	ADJ
ejpam-720	227	14	definite	definite	ADJ
ejpam-720	227	15	matrix	matrix	NOUN
ejpam-720	227	16	of	of	ADP
ejpam-720	227	17	order	order	NOUN
ejpam-720	227	18	k	k	PROPN
ejpam-720	227	19	e(φ(b+	e(φ(b+	PROPN
ejpam-720	227	20	a′σ1/2z	a′σ1/2z	PROPN
ejpam-720	227	21	)	)	PUNCT
ejpam-720	227	22	)	)	PUNCT
ejpam-720	228	1	=	=	SYM
ejpam-720	228	2	φ	φ	PROPN
ejpam-720	228	3	(	(	PUNCT
ejpam-720	228	4	b	b	PROPN
ejpam-720	228	5	(	(	PUNCT
ejpam-720	228	6	1+a′σa)1/2	1+a′σa)1/2	NUM
ejpam-720	228	7	)	)	PUNCT
ejpam-720	228	8	.	.	PUNCT
ejpam-720	229	1	lemma	lemma	PROPN
ejpam-720	229	2	2	2	X
ejpam-720	229	3	.	.	PUNCT
ejpam-720	230	1	let	let	VERB
ejpam-720	230	2	z	z	NOUN
ejpam-720	230	3	∼	∼	NOUN
ejpam-720	230	4	φk×n(z	φk×n(z	NOUN
ejpam-720	230	5	)	)	PUNCT
ejpam-720	230	6	.	.	PUNCT
ejpam-720	231	1	for	for	ADP
ejpam-720	231	2	scalar	scalar	ADJ
ejpam-720	231	3	b	b	NOUN
ejpam-720	231	4	,	,	PUNCT
ejpam-720	231	5	a	a	DET
ejpam-720	231	6	∈	∈	ADJ
ejpam-720	231	7	rk	rk	NOUN
ejpam-720	231	8	,	,	PUNCT
ejpam-720	231	9	and	and	CCONJ
ejpam-720	231	10	for	for	ADP
ejpam-720	231	11	a	a	DET
ejpam-720	231	12	and	and	CCONJ
ejpam-720	231	13	b	b	NOUN
ejpam-720	231	14	positive	positive	ADJ
ejpam-720	231	15	definite	definite	ADJ
ejpam-720	231	16	matrices	matrix	NOUN
ejpam-720	231	17	of	of	ADP
ejpam-720	231	18	order	order	NOUN
ejpam-720	231	19	k	k	NOUN
ejpam-720	231	20	and	and	CCONJ
ejpam-720	231	21	n	n	PROPN
ejpam-720	231	22	respectively	respectively	ADV
ejpam-720	231	23	,	,	PUNCT
ejpam-720	231	24	e(φn(b+	e(φn(b+	X
ejpam-720	231	25	a′azb	a′azb	ADJ
ejpam-720	231	26	)	)	PUNCT
ejpam-720	231	27	)	)	PUNCT
ejpam-720	232	1	=	=	PUNCT
ejpam-720	232	2	φn(a	φn(a	NOUN
ejpam-720	232	3	,	,	PUNCT
ejpam-720	232	4	(	(	PUNCT
ejpam-720	232	5	1	1	NUM
ejpam-720	232	6	+	+	NUM
ejpam-720	232	7	a′aa′a)1/2b	a′aa′a)1/2b	NOUN
ejpam-720	232	8	)	)	PUNCT
ejpam-720	232	9	.	.	PUNCT
ejpam-720	233	1	let	let	VERB
ejpam-720	233	2	z	z	NOUN
ejpam-720	233	3	∼	∼	NOUN
ejpam-720	233	4	msnk×n(0k×n	msnk×n(0k×n	NOUN
ejpam-720	233	5	,	,	PUNCT
ejpam-720	233	6	ik	ik	X
ejpam-720	233	7	,	,	PUNCT
ejpam-720	233	8	in,∆	in,∆	NOUN
ejpam-720	233	9	)	)	PUNCT
ejpam-720	233	10	.	.	PUNCT
ejpam-720	234	1	then	then	ADV
ejpam-720	234	2	,	,	PUNCT
ejpam-720	234	3	the	the	DET
ejpam-720	234	4	moment	moment	NOUN
ejpam-720	234	5	generating	generate	VERB
ejpam-720	234	6	function	function	NOUN
ejpam-720	234	7	of	of	ADP
ejpam-720	234	8	z	z	PROPN
ejpam-720	234	9	evaluated	evaluate	VERB
ejpam-720	234	10	at	at	ADP
ejpam-720	234	11	tk×n	tk×n	PROPN
ejpam-720	234	12	is	be	AUX
ejpam-720	234	13	mz	mz	PROPN
ejpam-720	234	14	(	(	PUNCT
ejpam-720	234	15	tk×n	tk×n	NOUN
ejpam-720	234	16	)	)	PUNCT
ejpam-720	234	17	.	.	PUNCT
ejpam-720	235	1	it	it	PRON
ejpam-720	235	2	can	can	AUX
ejpam-720	235	3	be	be	AUX
ejpam-720	235	4	obtained	obtain	VERB
ejpam-720	235	5	as	as	SCONJ
ejpam-720	235	6	follows	follow	VERB
ejpam-720	235	7	:	:	PUNCT
ejpam-720	236	1	mz	mz	PROPN
ejpam-720	236	2	(	(	PUNCT
ejpam-720	236	3	tk×n	tk×n	NOUN
ejpam-720	236	4	)	)	PUNCT
ejpam-720	236	5	=	=	PUNCT
ejpam-720	236	6	eφk×n(z	eφk×n(z	PROPN
ejpam-720	236	7	)	)	PUNCT
ejpam-720	236	8	(	(	PUNCT
ejpam-720	236	9	etr(t	etr(t	NOUN
ejpam-720	236	10	′k×nz	′k×nz	PROPN
ejpam-720	236	11	)	)	PUNCT
ejpam-720	236	12	n	n	CCONJ
ejpam-720	236	13	∏	∏	PROPN
ejpam-720	236	14	i=1	i=1	PROPN
ejpam-720	236	15	k	k	PROPN
ejpam-720	236	16	∏	∏	X
ejpam-720	236	17	j=1	j=1	NOUN
ejpam-720	236	18	φ(α	φ(α	PROPN
ejpam-720	236	19	jie	jie	PROPN
ejpam-720	237	1	′	′	NUM
ejpam-720	238	1	j	j	PROPN
ejpam-720	238	2	zc	zc	INTJ
ejpam-720	238	3	i	i	PROPN
ejpam-720	238	4	)	)	PUNCT
ejpam-720	238	5	)	)	PUNCT
ejpam-720	238	6	d.	d.	PROPN
ejpam-720	238	7	akdemir	akdemir	PROPN
ejpam-720	238	8	,	,	PUNCT
ejpam-720	238	9	a.k	a.k	PROPN
ejpam-720	238	10	.	.	PROPN
ejpam-720	238	11	gupta	gupta	PROPN
ejpam-720	238	12	/	/	SYM
ejpam-720	238	13	eur	eur	PROPN
ejpam-720	238	14	.	.	PUNCT
ejpam-720	239	1	j.	j.	PROPN
ejpam-720	239	2	pure	pure	PROPN
ejpam-720	239	3	appl	appl	PROPN
ejpam-720	239	4	.	.	PROPN
ejpam-720	239	5	math	math	PROPN
ejpam-720	239	6	,	,	PUNCT
ejpam-720	239	7	3	3	NUM
ejpam-720	239	8	(	(	PUNCT
ejpam-720	239	9	2010	2010	NUM
ejpam-720	239	10	)	)	PUNCT
ejpam-720	239	11	,	,	PUNCT
ejpam-720	239	12	128	128	NUM
ejpam-720	239	13	-	-	SYM
ejpam-720	239	14	140	140	NUM
ejpam-720	239	15	135	135	NUM
ejpam-720	239	16	=	=	SYM
ejpam-720	239	17	2k	2k	NUM
ejpam-720	239	18	(	(	PUNCT
ejpam-720	239	19	2π)k/2	2π)k/2	NUM
ejpam-720	239	20	n	n	PRON
ejpam-720	239	21	∏	∏	NUM
ejpam-720	239	22	i=1	i=1	PROPN
ejpam-720	239	23	∫	∫	PROPN
ejpam-720	239	24	rk	rk	NOUN
ejpam-720	239	25	e−	e−	PROPN
ejpam-720	239	26	1	1	NUM
ejpam-720	239	27	2	2	NUM
ejpam-720	239	28	z′	z′	NUM
ejpam-720	239	29	i	i	NOUN
ejpam-720	239	30	z	z	NOUN
ejpam-720	239	31	i+t	i+t	PROPN
ejpam-720	240	1	i	i	PRON
ejpam-720	240	2	′z	′z	VERB
ejpam-720	240	3	i	i	PRON
ejpam-720	240	4	k	k	PROPN
ejpam-720	240	5	∏	∏	X
ejpam-720	241	1	j=1	j=1	NOUN
ejpam-720	241	2	φ(α	φ(α	PROPN
ejpam-720	241	3	jie	jie	PROPN
ejpam-720	242	1	′	′	NUM
ejpam-720	243	1	j	j	NOUN
ejpam-720	243	2	z	z	NOUN
ejpam-720	244	1	i)dz	i)dz	PROPN
ejpam-720	244	2	=	=	PROPN
ejpam-720	244	3	2k	2k	PROPN
ejpam-720	244	4	(	(	PUNCT
ejpam-720	244	5	2π)k/2	2π)k/2	NUM
ejpam-720	244	6	n	n	PRON
ejpam-720	244	7	∏	∏	NUM
ejpam-720	244	8	i=1	i=1	PROPN
ejpam-720	244	9	∫	∫	PROPN
ejpam-720	244	10	rk	rk	NOUN
ejpam-720	244	11	e−	e−	PROPN
ejpam-720	244	12	1	1	NUM
ejpam-720	244	13	2	2	NUM
ejpam-720	244	14	(	(	PUNCT
ejpam-720	244	15	z′	z′	NUM
ejpam-720	244	16	i	i	PRON
ejpam-720	244	17	z	z	PROPN
ejpam-720	244	18	i−2	i−2	PROPN
ejpam-720	244	19	t	t	NOUN
ejpam-720	245	1	i	i	PRON
ejpam-720	245	2	′z	′z	VERB
ejpam-720	245	3	i	i	PRON
ejpam-720	245	4	)	)	PUNCT
ejpam-720	246	1	k	k	NOUN
ejpam-720	246	2	∏	∏	PROPN
ejpam-720	246	3	j=1	j=1	NOUN
ejpam-720	246	4	φ(α	φ(α	PROPN
ejpam-720	246	5	jie	jie	PROPN
ejpam-720	247	1	′	′	NUM
ejpam-720	248	1	j	j	NOUN
ejpam-720	248	2	z	z	NOUN
ejpam-720	249	1	i)dz	i)dz	PROPN
ejpam-720	249	2	=	=	PUNCT
ejpam-720	249	3	n	n	PRON
ejpam-720	249	4	∏	∏	NUM
ejpam-720	249	5	i=1	i=1	X
ejpam-720	249	6	2ke	2ke	ADJ
ejpam-720	249	7	1	1	NUM
ejpam-720	249	8	2	2	NUM
ejpam-720	249	9	t	t	NOUN
ejpam-720	250	1	i	i	PRON
ejpam-720	250	2	′	′	VERB
ejpam-720	251	1	t	t	INTJ
ejpam-720	252	1	i	i	PRON
ejpam-720	252	2	(	(	PUNCT
ejpam-720	252	3	2π)k/2	2π)k/2	NUM
ejpam-720	252	4	∫	∫	PROPN
ejpam-720	252	5	rk	rk	NOUN
ejpam-720	252	6	e−	e−	PROPN
ejpam-720	252	7	1	1	NUM
ejpam-720	252	8	2	2	NUM
ejpam-720	252	9	(	(	PUNCT
ejpam-720	252	10	z′	z′	NUM
ejpam-720	252	11	i	i	PRON
ejpam-720	252	12	z	z	PROPN
ejpam-720	252	13	i−2	i−2	PROPN
ejpam-720	252	14	t	t	NOUN
ejpam-720	252	15	i	i	PRON
ejpam-720	252	16	′z	′z	VERB
ejpam-720	252	17	i+t	i+t	PROPN
ejpam-720	253	1	i	i	PRON
ejpam-720	253	2	′	′	VERB
ejpam-720	253	3	t	t	PROPN
ejpam-720	254	1	i	i	PRON
ejpam-720	254	2	)	)	PUNCT
ejpam-720	255	1	k	k	NOUN
ejpam-720	255	2	∏	∏	PROPN
ejpam-720	255	3	j=1	j=1	NOUN
ejpam-720	255	4	φ(α	φ(α	PROPN
ejpam-720	255	5	jie	jie	PROPN
ejpam-720	256	1	′	′	NUM
ejpam-720	257	1	j	j	NOUN
ejpam-720	257	2	z	z	NOUN
ejpam-720	258	1	i)dz	i)dz	PROPN
ejpam-720	258	2	=	=	PUNCT
ejpam-720	258	3	n	n	PRON
ejpam-720	258	4	∏	∏	NUM
ejpam-720	258	5	i=1	i=1	X
ejpam-720	258	6	2ke	2ke	ADJ
ejpam-720	258	7	1	1	NUM
ejpam-720	258	8	2	2	NUM
ejpam-720	258	9	t	t	NOUN
ejpam-720	259	1	i	i	PRON
ejpam-720	259	2	′	′	VERB
ejpam-720	260	1	t	t	INTJ
ejpam-720	260	2	i	i	PRON
ejpam-720	260	3	(	(	PUNCT
ejpam-720	260	4	2π)k/2	2π)k/2	NUM
ejpam-720	260	5	∫	∫	PROPN
ejpam-720	260	6	rk	rk	NOUN
ejpam-720	260	7	e−	e−	PROPN
ejpam-720	260	8	1	1	NUM
ejpam-720	260	9	2	2	NUM
ejpam-720	260	10	(	(	PUNCT
ejpam-720	260	11	z	z	NOUN
ejpam-720	260	12	i−t	i−t	PROPN
ejpam-720	260	13	i	i	PROPN
ejpam-720	260	14	)	)	PUNCT
ejpam-720	260	15	′(z	′(z	NOUN
ejpam-720	260	16	i−t	i−t	PROPN
ejpam-720	260	17	i	i	PRON
ejpam-720	260	18	)	)	PUNCT
ejpam-720	261	1	k	k	NOUN
ejpam-720	261	2	∏	∏	PROPN
ejpam-720	261	3	j=1	j=1	NOUN
ejpam-720	261	4	φ(α	φ(α	PROPN
ejpam-720	261	5	jie	jie	PROPN
ejpam-720	262	1	′	′	NUM
ejpam-720	263	1	j	j	NOUN
ejpam-720	263	2	z	z	NOUN
ejpam-720	264	1	i)dz	i)dz	PROPN
ejpam-720	264	2	=	=	PUNCT
ejpam-720	264	3	n	n	PRON
ejpam-720	264	4	∏	∏	NUM
ejpam-720	264	5	i=1	i=1	X
ejpam-720	264	6	2ke	2ke	ADJ
ejpam-720	264	7	1	1	NUM
ejpam-720	264	8	2	2	NUM
ejpam-720	264	9	t	t	NOUN
ejpam-720	265	1	i	i	PRON
ejpam-720	265	2	′	′	VERB
ejpam-720	266	1	t	t	INTJ
ejpam-720	267	1	i	i	PRON
ejpam-720	267	2	(	(	PUNCT
ejpam-720	267	3	2π)k/2	2π)k/2	NUM
ejpam-720	267	4	k	k	X
ejpam-720	267	5	∏	∏	PROPN
ejpam-720	268	1	j=1	j=1	NOUN
ejpam-720	268	2	∫	∫	PROPN
ejpam-720	268	3	r	r	NOUN
ejpam-720	268	4	e−	e−	PROPN
ejpam-720	268	5	1	1	NUM
ejpam-720	268	6	2	2	NUM
ejpam-720	268	7	(	(	PUNCT
ejpam-720	268	8	zi	zi	NOUN
ejpam-720	268	9	j−(t	j−(t	PROPN
ejpam-720	268	10	)	)	PUNCT
ejpam-720	269	1	i	i	PRON
ejpam-720	269	2	j	j	NOUN
ejpam-720	269	3	)	)	PUNCT
ejpam-720	269	4	2	2	NUM
ejpam-720	270	1	φ(α	φ(α	PROPN
ejpam-720	270	2	ji	ji	PROPN
ejpam-720	270	3	z	z	NOUN
ejpam-720	271	1	i	i	PRON
ejpam-720	271	2	j)dzi	j)dzi	PROPN
ejpam-720	271	3	j	j	PROPN
ejpam-720	272	1	=	=	PUNCT
ejpam-720	272	2	n	n	PRON
ejpam-720	272	3	∏	∏	NUM
ejpam-720	272	4	i=1	i=1	X
ejpam-720	272	5	2ke	2ke	ADJ
ejpam-720	272	6	1	1	NUM
ejpam-720	272	7	2	2	NUM
ejpam-720	272	8	t	t	NOUN
ejpam-720	273	1	i	i	PRON
ejpam-720	273	2	′	′	VERB
ejpam-720	274	1	t	t	INTJ
ejpam-720	275	1	i	i	PRON
ejpam-720	275	2	k	k	PROPN
ejpam-720	275	3	∏	∏	X
ejpam-720	276	1	j=1	j=1	NOUN
ejpam-720	276	2	∫	∫	PROPN
ejpam-720	276	3	r	r	NOUN
ejpam-720	276	4	1	1	NUM
ejpam-720	276	5	p	p	NOUN
ejpam-720	276	6	(	(	PUNCT
ejpam-720	276	7	2π	2π	NOUN
ejpam-720	276	8	)	)	PUNCT
ejpam-720	276	9	e−	e−	X
ejpam-720	276	10	1	1	NUM
ejpam-720	276	11	2	2	NUM
ejpam-720	276	12	(	(	PUNCT
ejpam-720	276	13	yi	yi	PROPN
ejpam-720	276	14	j	j	PROPN
ejpam-720	276	15	)	)	PUNCT
ejpam-720	276	16	2	2	NUM
ejpam-720	277	1	φ(α	φ(α	INTJ
ejpam-720	277	2	ji	ji	PROPN
ejpam-720	278	1	y	y	NOUN
ejpam-720	278	2	i	i	PRON
ejpam-720	278	3	j	j	PROPN
ejpam-720	279	1	+	+	NOUN
ejpam-720	279	2	α	α	NOUN
ejpam-720	279	3	ji(t	ji(t	NOUN
ejpam-720	279	4	)	)	PUNCT
ejpam-720	280	1	i	i	PRON
ejpam-720	280	2	j)d	j)d	VERB
ejpam-720	281	1	yi	yi	PROPN
ejpam-720	281	2	j	j	PROPN
ejpam-720	282	1	=	=	SYM
ejpam-720	282	2	n	n	PRON
ejpam-720	282	3	∏	∏	NUM
ejpam-720	282	4	i=1	i=1	X
ejpam-720	282	5	2ke	2ke	ADJ
ejpam-720	282	6	1	1	NUM
ejpam-720	282	7	2	2	NUM
ejpam-720	282	8	t	t	NOUN
ejpam-720	283	1	i	i	PRON
ejpam-720	283	2	′	′	VERB
ejpam-720	284	1	t	t	INTJ
ejpam-720	285	1	i	i	PRON
ejpam-720	285	2	k	k	PROPN
ejpam-720	285	3	∏	∏	PROPN
ejpam-720	285	4	j=1	j=1	PROPN
ejpam-720	285	5	φ	φ	PROPN
ejpam-720	285	6	(	(	PUNCT
ejpam-720	285	7	α	α	PROPN
ejpam-720	285	8	ji(t	ji(t	NUM
ejpam-720	285	9	)	)	PUNCT
ejpam-720	286	1	i	i	PRON
ejpam-720	286	2	j	j	PROPN
ejpam-720	287	1	p	p	X
ejpam-720	287	2	(	(	PUNCT
ejpam-720	287	3	1+α	1+α	NUM
ejpam-720	287	4	ji	ji	NOUN
ejpam-720	287	5	2	2	NUM
ejpam-720	287	6	)	)	PUNCT
ejpam-720	287	7	)	)	PUNCT
ejpam-720	288	1	=	=	PUNCT
ejpam-720	289	1	2nketr	2nketr	NUM
ejpam-720	289	2	(	(	PUNCT
ejpam-720	289	3	1	1	NUM
ejpam-720	289	4	2	2	NUM
ejpam-720	289	5	tk×n	tk×n	PROPN
ejpam-720	289	6	′tk×n	′tk×n	PROPN
ejpam-720	289	7	)	)	PUNCT
ejpam-720	289	8	n	n	CCONJ
ejpam-720	289	9	∏	∏	PROPN
ejpam-720	289	10	i=1	i=1	PROPN
ejpam-720	289	11	k	k	PROPN
ejpam-720	289	12	∏	∏	PROPN
ejpam-720	289	13	j=1	j=1	PROPN
ejpam-720	289	14	φ	φ	PROPN
ejpam-720	289	15	(	(	PUNCT
ejpam-720	289	16	α	α	PROPN
ejpam-720	289	17	ji(t	ji(t	NUM
ejpam-720	289	18	)	)	PUNCT
ejpam-720	290	1	i	i	PRON
ejpam-720	290	2	j	j	PROPN
ejpam-720	291	1	p	p	X
ejpam-720	291	2	(	(	PUNCT
ejpam-720	291	3	1+α	1+α	NUM
ejpam-720	291	4	ji	ji	NOUN
ejpam-720	291	5	2	2	NUM
ejpam-720	291	6	)	)	PUNCT
ejpam-720	291	7	)	)	PUNCT
ejpam-720	291	8	.	.	PUNCT
ejpam-720	292	1	let	let	VERB
ejpam-720	292	2	x	x	PUNCT
ejpam-720	292	3	=	=	PRON
ejpam-720	292	4	azb	azb	PROPN
ejpam-720	292	5	+	+	CCONJ
ejpam-720	292	6	m	m	VERB
ejpam-720	292	7	for	for	ADP
ejpam-720	292	8	constant	constant	ADJ
ejpam-720	292	9	(	(	PUNCT
ejpam-720	292	10	k	k	PROPN
ejpam-720	292	11	×	×	PROPN
ejpam-720	292	12	k	k	NOUN
ejpam-720	292	13	)	)	PUNCT
ejpam-720	292	14	matrix	matrix	NOUN
ejpam-720	292	15	a	a	PRON
ejpam-720	292	16	,	,	PUNCT
ejpam-720	292	17	(	(	PUNCT
ejpam-720	292	18	n×	n×	NOUN
ejpam-720	292	19	n	n	CCONJ
ejpam-720	292	20	)	)	PUNCT
ejpam-720	292	21	matrix	matrix	NOUN
ejpam-720	292	22	b	b	NOUN
ejpam-720	292	23	and	and	CCONJ
ejpam-720	292	24	k	k	PROPN
ejpam-720	292	25	×	×	NOUN
ejpam-720	292	26	n	n	CCONJ
ejpam-720	292	27	dimensional	dimensional	ADJ
ejpam-720	292	28	constant	constant	ADJ
ejpam-720	292	29	matrix	matrix	NOUN
ejpam-720	292	30	m	m	NOUN
ejpam-720	292	31	.	.	PUNCT
ejpam-720	293	1	then	then	ADV
ejpam-720	293	2	the	the	DET
ejpam-720	293	3	moment	moment	NOUN
ejpam-720	293	4	generating	generate	VERB
ejpam-720	293	5	function	function	NOUN
ejpam-720	293	6	of	of	ADP
ejpam-720	293	7	x	x	PUNCT
ejpam-720	293	8	evaluated	evaluate	VERB
ejpam-720	293	9	at	at	ADP
ejpam-720	293	10	tk×n	tk×n	PROPN
ejpam-720	293	11	∈	∈	PROPN
ejpam-720	293	12	rk×n	rk×n	PROPN
ejpam-720	293	13	is	be	AUX
ejpam-720	293	14	mx	mx	PROPN
ejpam-720	293	15	(	(	PUNCT
ejpam-720	293	16	tk×n	tk×n	NOUN
ejpam-720	293	17	)	)	PUNCT
ejpam-720	293	18	,	,	PUNCT
ejpam-720	293	19	this	this	PRON
ejpam-720	293	20	can	can	AUX
ejpam-720	293	21	be	be	AUX
ejpam-720	293	22	obtained	obtain	VERB
ejpam-720	293	23	as	as	SCONJ
ejpam-720	293	24	follows	follow	VERB
ejpam-720	293	25	:	:	PUNCT
ejpam-720	293	26	mx	mx	PROPN
ejpam-720	293	27	(	(	PUNCT
ejpam-720	293	28	tk×n	tk×n	NOUN
ejpam-720	293	29	)	)	PUNCT
ejpam-720	293	30	=	=	PUNCT
ejpam-720	294	1	2nketr(t	2nketr(t	NUM
ejpam-720	295	1	′k×nm	′k×nm	NOUN
ejpam-720	295	2	+	+	CCONJ
ejpam-720	295	3	1	1	NUM
ejpam-720	295	4	2	2	NUM
ejpam-720	295	5	(	(	PUNCT
ejpam-720	295	6	a′tk×nb′)′a′tk×nb′	a′tk×nb′)′a′tk×nb′	PROPN
ejpam-720	295	7	)	)	PUNCT
ejpam-720	295	8	×	×	PROPN
ejpam-720	295	9	n	n	CCONJ
ejpam-720	295	10	∏	∏	PROPN
ejpam-720	295	11	i=1	i=1	PROPN
ejpam-720	295	12	k	k	PROPN
ejpam-720	295	13	∏	∏	PROPN
ejpam-720	295	14	j=1	j=1	PROPN
ejpam-720	295	15	φ	φ	PROPN
ejpam-720	295	16	(	(	PUNCT
ejpam-720	295	17	α	α	NOUN
ejpam-720	295	18	ji(a	ji(a	NOUN
ejpam-720	296	1	′tk×nb′)i	′tk×nb′)i	PROPN
ejpam-720	296	2	j	j	PROPN
ejpam-720	296	3	æ	æ	X
ejpam-720	296	4	(	(	PUNCT
ejpam-720	296	5	1	1	NUM
ejpam-720	296	6	+	+	CCONJ
ejpam-720	296	7	(	(	PUNCT
ejpam-720	296	8	α2	α2	ADJ
ejpam-720	296	9	ji	ji	PROPN
ejpam-720	296	10	)	)	PUNCT
ejpam-720	296	11	)	)	PUNCT
ejpam-720	296	12	.	.	PUNCT
ejpam-720	297	1	hence	hence	ADV
ejpam-720	297	2	the	the	DET
ejpam-720	297	3	following	follow	VERB
ejpam-720	297	4	definition	definition	NOUN
ejpam-720	297	5	and	and	CCONJ
ejpam-720	297	6	theorems	theorem	NOUN
ejpam-720	297	7	.	.	PUNCT
ejpam-720	298	1	definition	definition	NOUN
ejpam-720	298	2	4	4	NUM
ejpam-720	298	3	.	.	PUNCT
ejpam-720	299	1	(	(	PUNCT
ejpam-720	299	2	matrix	matrix	NOUN
ejpam-720	299	3	variate	variate	NOUN
ejpam-720	299	4	skew	skew	ADJ
ejpam-720	299	5	normal	normal	ADJ
ejpam-720	299	6	random	random	ADJ
ejpam-720	299	7	variable	variable	NOUN
ejpam-720	299	8	)	)	PUNCT
ejpam-720	299	9	let	let	VERB
ejpam-720	299	10	zi	zi	NOUN
ejpam-720	299	11	j	j	PROPN
ejpam-720	299	12	∼	∼	NOUN
ejpam-720	299	13	2φ(zi	2φ(zi	NUM
ejpam-720	299	14	j)φ(α	j)φ(α	NOUN
ejpam-720	299	15	jizi	jizi	PROPN
ejpam-720	299	16	j	j	PROPN
ejpam-720	299	17	)	)	PUNCT
ejpam-720	299	18	for	for	ADP
ejpam-720	299	19	i	i	X
ejpam-720	299	20	=	=	SYM
ejpam-720	299	21	1,2	1,2	NUM
ejpam-720	299	22	,	,	PUNCT
ejpam-720	299	23	.	.	PUNCT
ejpam-720	299	24	.	.	PUNCT
ejpam-720	300	1	.	.	PUNCT
ejpam-720	301	1	,	,	PUNCT
ejpam-720	301	2	n	n	CCONJ
ejpam-720	301	3	,	,	PUNCT
ejpam-720	301	4	and	and	CCONJ
ejpam-720	301	5	j	j	PROPN
ejpam-720	301	6	=	=	SYM
ejpam-720	301	7	1,2	1,2	NUM
ejpam-720	301	8	,	,	PUNCT
ejpam-720	301	9	.	.	PUNCT
ejpam-720	301	10	.	.	PUNCT
ejpam-720	302	1	.	.	PUNCT
ejpam-720	303	1	,	,	PUNCT
ejpam-720	303	2	k	k	X
ejpam-720	303	3	be	be	AUX
ejpam-720	303	4	independent	independent	ADJ
ejpam-720	303	5	univariate	univariate	ADJ
ejpam-720	303	6	skew	skew	ADJ
ejpam-720	303	7	normal	normal	ADJ
ejpam-720	303	8	random	random	ADJ
ejpam-720	303	9	variables	variable	NOUN
ejpam-720	303	10	.	.	PUNCT
ejpam-720	304	1	then	then	ADV
ejpam-720	304	2	the	the	DET
ejpam-720	304	3	matrix	matrix	NOUN
ejpam-720	304	4	variate	variate	NOUN
ejpam-720	304	5	random	random	ADJ
ejpam-720	304	6	variable	variable	NOUN
ejpam-720	304	7	z	z	NOUN
ejpam-720	304	8	=	=	SYM
ejpam-720	304	9	(	(	PUNCT
ejpam-720	304	10	zi	zi	PROPN
ejpam-720	304	11	j	j	PROPN
ejpam-720	304	12	)	)	PUNCT
ejpam-720	304	13	has	have	VERB
ejpam-720	304	14	density	density	NOUN
ejpam-720	304	15	2nkφk×n(z	2nkφk×n(z	NUM
ejpam-720	304	16	)	)	PUNCT
ejpam-720	304	17	n	n	CCONJ
ejpam-720	304	18	∏	∏	PROPN
ejpam-720	304	19	i=1	i=1	PROPN
ejpam-720	304	20	k	k	PROPN
ejpam-720	304	21	∏	∏	X
ejpam-720	304	22	j=1	j=1	NOUN
ejpam-720	304	23	φ(α	φ(α	PROPN
ejpam-720	304	24	jie	jie	PROPN
ejpam-720	305	1	′	′	NUM
ejpam-720	306	1	j	j	PROPN
ejpam-720	306	2	zc	zc	INTJ
ejpam-720	306	3	i	i	PROPN
ejpam-720	306	4	)	)	PUNCT
ejpam-720	306	5	d.	d.	PROPN
ejpam-720	306	6	akdemir	akdemir	PROPN
ejpam-720	306	7	,	,	PUNCT
ejpam-720	306	8	a.k	a.k	PROPN
ejpam-720	306	9	.	.	PROPN
ejpam-720	306	10	gupta	gupta	PROPN
ejpam-720	306	11	/	/	SYM
ejpam-720	306	12	eur	eur	PROPN
ejpam-720	306	13	.	.	PUNCT
ejpam-720	307	1	j.	j.	PROPN
ejpam-720	307	2	pure	pure	PROPN
ejpam-720	307	3	appl	appl	PROPN
ejpam-720	307	4	.	.	PROPN
ejpam-720	307	5	math	math	PROPN
ejpam-720	307	6	,	,	PUNCT
ejpam-720	307	7	3	3	NUM
ejpam-720	307	8	(	(	PUNCT
ejpam-720	307	9	2010	2010	NUM
ejpam-720	307	10	)	)	PUNCT
ejpam-720	307	11	,	,	PUNCT
ejpam-720	307	12	128	128	NUM
ejpam-720	307	13	-	-	SYM
ejpam-720	307	14	140	140	NUM
ejpam-720	307	15	136	136	NUM
ejpam-720	307	16	where	where	SCONJ
ejpam-720	307	17	φk×n(z	φk×n(z	NOUN
ejpam-720	307	18	)	)	PUNCT
ejpam-720	307	19	=	=	PUNCT
ejpam-720	307	20	∏n	∏n	ADJ
ejpam-720	307	21	i=1	i=1	X
ejpam-720	308	1	∏k	∏k	X
ejpam-720	308	2	j=1φ(zi	j=1φ(zi	PROPN
ejpam-720	308	3	j	j	PROPN
ejpam-720	308	4	)	)	PUNCT
ejpam-720	308	5	,	,	PUNCT
ejpam-720	308	6	and	and	CCONJ
ejpam-720	308	7	e	e	X
ejpam-720	308	8	j	j	PROPN
ejpam-720	308	9	and	and	CCONJ
ejpam-720	308	10	c	c	PROPN
ejpam-720	308	11	i	i	PRON
ejpam-720	308	12	are	be	AUX
ejpam-720	308	13	the	the	DET
ejpam-720	308	14	elementary	elementary	ADJ
ejpam-720	308	15	vectors	vector	NOUN
ejpam-720	308	16	of	of	ADP
ejpam-720	308	17	the	the	DET
ejpam-720	308	18	coordinate	coordinate	NOUN
ejpam-720	308	19	system	system	NOUN
ejpam-720	308	20	rk	rk	NOUN
ejpam-720	308	21	and	and	CCONJ
ejpam-720	308	22	rn	rn	PROPN
ejpam-720	308	23	respectively	respectively	ADV
ejpam-720	308	24	.	.	PUNCT
ejpam-720	309	1	let	let	VERB
ejpam-720	309	2	a	a	DET
ejpam-720	309	3	be	be	AUX
ejpam-720	309	4	a	a	DET
ejpam-720	309	5	k×k	k×k	PROPN
ejpam-720	309	6	constant	constant	ADJ
ejpam-720	309	7	matrix	matrix	NOUN
ejpam-720	309	8	,	,	PUNCT
ejpam-720	309	9	b	b	X
ejpam-720	309	10	be	be	AUX
ejpam-720	309	11	a	a	DET
ejpam-720	309	12	n×n	n×n	PROPN
ejpam-720	309	13	constant	constant	ADJ
ejpam-720	309	14	matrix	matrix	NOUN
ejpam-720	309	15	and	and	CCONJ
ejpam-720	309	16	m	m	AUX
ejpam-720	309	17	be	be	AUX
ejpam-720	309	18	a	a	DET
ejpam-720	309	19	k×n	k×n	PROPN
ejpam-720	309	20	-	-	PUNCT
ejpam-720	309	21	dimensional	dimensional	ADJ
ejpam-720	309	22	constant	constant	ADJ
ejpam-720	309	23	matrix	matrix	NOUN
ejpam-720	309	24	.	.	PUNCT
ejpam-720	310	1	a	a	DET
ejpam-720	310	2	random	random	ADJ
ejpam-720	310	3	variable	variable	NOUN
ejpam-720	310	4	x	x	PUNCT
ejpam-720	310	5	=	=	PUNCT
ejpam-720	310	6	azb+m	azb+m	PROPN
ejpam-720	310	7	is	be	AUX
ejpam-720	310	8	distributed	distribute	VERB
ejpam-720	310	9	with	with	ADP
ejpam-720	310	10	respect	respect	NOUN
ejpam-720	310	11	to	to	ADP
ejpam-720	310	12	matrix	matrix	VERB
ejpam-720	310	13	variate	variate	NOUN
ejpam-720	310	14	skew	skew	NOUN
ejpam-720	310	15	symmetric	symmetric	ADJ
ejpam-720	310	16	distribution	distribution	NOUN
ejpam-720	310	17	with	with	ADP
ejpam-720	310	18	location	location	NOUN
ejpam-720	310	19	parameter	parameter	NOUN
ejpam-720	310	20	m	m	NOUN
ejpam-720	310	21	,	,	PUNCT
ejpam-720	310	22	scale	scale	NOUN
ejpam-720	310	23	parameters	parameter	NOUN
ejpam-720	310	24	(	(	PUNCT
ejpam-720	310	25	a	a	DET
ejpam-720	310	26	,	,	PUNCT
ejpam-720	310	27	b	b	NOUN
ejpam-720	310	28	)	)	PUNCT
ejpam-720	310	29	,	,	PUNCT
ejpam-720	310	30	and	and	CCONJ
ejpam-720	310	31	shape	shape	NOUN
ejpam-720	310	32	parameter	parameter	NOUN
ejpam-720	310	33	∆	∆	PROPN
ejpam-720	311	1	=	=	PRON
ejpam-720	311	2	(	(	PUNCT
ejpam-720	311	3	α	α	X
ejpam-720	311	4	ji	ji	PROPN
ejpam-720	311	5	)	)	PUNCT
ejpam-720	311	6	.	.	PUNCT
ejpam-720	312	1	we	we	PRON
ejpam-720	312	2	denote	denote	VERB
ejpam-720	312	3	this	this	PRON
ejpam-720	312	4	by	by	ADP
ejpam-720	312	5	x	x	PUNCT
ejpam-720	312	6	∼	∼	NOUN
ejpam-720	312	7	msnk×n(m	msnk×n(m	X
ejpam-720	312	8	,	,	PUNCT
ejpam-720	312	9	a	a	PRON
ejpam-720	312	10	,	,	PUNCT
ejpam-720	312	11	b,∆	b,∆	NOUN
ejpam-720	312	12	)	)	PUNCT
ejpam-720	312	13	.	.	PUNCT
ejpam-720	313	1	if	if	SCONJ
ejpam-720	313	2	the	the	DET
ejpam-720	313	3	density	density	NOUN
ejpam-720	313	4	exists	exist	VERB
ejpam-720	313	5	it	it	PRON
ejpam-720	313	6	is	be	AUX
ejpam-720	313	7	given	give	VERB
ejpam-720	313	8	in	in	ADP
ejpam-720	313	9	equation	equation	NOUN
ejpam-720	313	10	(	(	PUNCT
ejpam-720	313	11	11	11	NUM
ejpam-720	313	12	)	)	PUNCT
ejpam-720	313	13	.	.	PUNCT
ejpam-720	314	1	we	we	PRON
ejpam-720	314	2	denote	denote	VERB
ejpam-720	314	3	this	this	DET
ejpam-720	314	4	case	case	NOUN
ejpam-720	314	5	by	by	ADP
ejpam-720	314	6	writing	write	VERB
ejpam-720	314	7	x	x	PUNCT
ejpam-720	314	8	∼	∼	NOUN
ejpam-720	314	9	msnk×n(m	msnk×n(m	X
ejpam-720	314	10	,	,	PUNCT
ejpam-720	314	11	a	a	PRON
ejpam-720	314	12	,	,	PUNCT
ejpam-720	314	13	b,∆	b,∆	NOUN
ejpam-720	314	14	)	)	PUNCT
ejpam-720	314	15	.	.	PUNCT
ejpam-720	315	1	theorem	theorem	NOUN
ejpam-720	315	2	3	3	NUM
ejpam-720	315	3	.	.	PUNCT
ejpam-720	316	1	if	if	SCONJ
ejpam-720	316	2	x	x	PRON
ejpam-720	316	3	has	have	AUX
ejpam-720	316	4	multivariate	multivariate	VERB
ejpam-720	316	5	skew	skew	ADJ
ejpam-720	316	6	-	-	ADJ
ejpam-720	316	7	normal	normal	ADJ
ejpam-720	316	8	distribution	distribution	NOUN
ejpam-720	316	9	msnk×n(m	msnk×n(m	NOUN
ejpam-720	316	10	,	,	PUNCT
ejpam-720	316	11	a	a	PRON
ejpam-720	316	12	,	,	PUNCT
ejpam-720	316	13	b,∆	b,∆	NUM
ejpam-720	316	14	)	)	PUNCT
ejpam-720	316	15	then	then	ADV
ejpam-720	316	16	the	the	DET
ejpam-720	316	17	moment	moment	NOUN
ejpam-720	316	18	generating	generate	VERB
ejpam-720	316	19	function	function	NOUN
ejpam-720	316	20	of	of	ADP
ejpam-720	316	21	x	x	PUNCT
ejpam-720	316	22	evaluated	evaluate	VERB
ejpam-720	316	23	at	at	ADP
ejpam-720	316	24	tk×n	tk×n	PROPN
ejpam-720	316	25	is	be	AUX
ejpam-720	316	26	given	give	VERB
ejpam-720	316	27	by	by	ADP
ejpam-720	316	28	mx	mx	PROPN
ejpam-720	316	29	(	(	PUNCT
ejpam-720	316	30	tk×n	tk×n	NOUN
ejpam-720	316	31	)	)	PUNCT
ejpam-720	316	32	=	=	PUNCT
ejpam-720	317	1	2nketr(t	2nketr(t	NUM
ejpam-720	318	1	′k×nm	′k×nm	NOUN
ejpam-720	318	2	+	+	CCONJ
ejpam-720	318	3	1	1	NUM
ejpam-720	318	4	2	2	NUM
ejpam-720	318	5	(	(	PUNCT
ejpam-720	318	6	a′tk×nb′)′a′tk×nb′	a′tk×nb′)′a′tk×nb′	PROPN
ejpam-720	318	7	)	)	PUNCT
ejpam-720	318	8	×	×	PROPN
ejpam-720	318	9	n	n	CCONJ
ejpam-720	318	10	∏	∏	PROPN
ejpam-720	318	11	i=1	i=1	PROPN
ejpam-720	318	12	k	k	PROPN
ejpam-720	318	13	∏	∏	PROPN
ejpam-720	318	14	j=1	j=1	PROPN
ejpam-720	318	15	φ	φ	PROPN
ejpam-720	318	16	(	(	PUNCT
ejpam-720	318	17	α	α	NOUN
ejpam-720	318	18	ji(a	ji(a	PROPN
ejpam-720	319	1	′tk×nb′)i	′tk×nb′)i	PROPN
ejpam-720	319	2	j	j	PROPN
ejpam-720	319	3	p	p	X
ejpam-720	319	4	(	(	PUNCT
ejpam-720	319	5	1+α	1+α	NUM
ejpam-720	319	6	ji	ji	NOUN
ejpam-720	319	7	2	2	NUM
ejpam-720	319	8	)	)	PUNCT
ejpam-720	319	9	)	)	PUNCT
ejpam-720	319	10	.	.	PUNCT
ejpam-720	320	1	(	(	PUNCT
ejpam-720	320	2	12	12	NUM
ejpam-720	320	3	)	)	PUNCT
ejpam-720	320	4	by	by	ADP
ejpam-720	320	5	definition	definition	NOUN
ejpam-720	320	6	5	5	NUM
ejpam-720	320	7	we	we	PRON
ejpam-720	320	8	can	can	AUX
ejpam-720	320	9	write	write	VERB
ejpam-720	320	10	z	z	NOUN
ejpam-720	320	11	∼	∼	NOUN
ejpam-720	320	12	msnk×n(0	msnk×n(0	NOUN
ejpam-720	320	13	,	,	PUNCT
ejpam-720	320	14	ik	ik	X
ejpam-720	320	15	,	,	PUNCT
ejpam-720	320	16	in,∆	in,∆	NOUN
ejpam-720	320	17	)	)	PUNCT
ejpam-720	320	18	,	,	PUNCT
ejpam-720	320	19	and	and	CCONJ
ejpam-720	320	20	prove	prove	VERB
ejpam-720	320	21	the	the	DET
ejpam-720	320	22	following	follow	VERB
ejpam-720	320	23	theorems	theorem	NOUN
ejpam-720	320	24	.	.	PUNCT
ejpam-720	321	1	theorem	theorem	NOUN
ejpam-720	321	2	4	4	NUM
ejpam-720	321	3	.	.	PUNCT
ejpam-720	321	4	assume	assume	VERB
ejpam-720	321	5	that	that	SCONJ
ejpam-720	321	6	y	y	PRON
ejpam-720	321	7	∼	∼	NOUN
ejpam-720	321	8	msnk×n(m	msnk×n(m	X
ejpam-720	321	9	,	,	PUNCT
ejpam-720	321	10	a	a	PRON
ejpam-720	321	11	,	,	PUNCT
ejpam-720	321	12	b,∆	b,∆	NUM
ejpam-720	321	13	)	)	PUNCT
ejpam-720	321	14	and	and	CCONJ
ejpam-720	321	15	x	x	X
ejpam-720	321	16	=	=	SYM
ejpam-720	321	17	cy	cy	PROPN
ejpam-720	321	18	d+	d+	PROPN
ejpam-720	321	19	n	n	CCONJ
ejpam-720	321	20	where	where	SCONJ
ejpam-720	321	21	c	c	NOUN
ejpam-720	321	22	,	,	PUNCT
ejpam-720	321	23	d	d	NOUN
ejpam-720	321	24	and	and	CCONJ
ejpam-720	321	25	n	n	PRON
ejpam-720	321	26	are	be	AUX
ejpam-720	321	27	matrices	matrix	NOUN
ejpam-720	321	28	of	of	ADP
ejpam-720	321	29	order	order	NOUN
ejpam-720	321	30	k′×k	k′×k	PROPN
ejpam-720	321	31	,	,	PUNCT
ejpam-720	321	32	n×n′	n×n′	ADJ
ejpam-720	321	33	and	and	CCONJ
ejpam-720	321	34	k′×n′	k′×n′	ADJ
ejpam-720	321	35	respectively	respectively	ADV
ejpam-720	321	36	.	.	PUNCT
ejpam-720	322	1	then	then	ADV
ejpam-720	322	2	x	x	PUNCT
ejpam-720	322	3	∼	∼	NOUN
ejpam-720	322	4	msnk′×n′(c	msnk′×n′(c	PROPN
ejpam-720	322	5	m	m	PROPN
ejpam-720	322	6	d+n	d+n	PROPN
ejpam-720	322	7	,	,	PUNCT
ejpam-720	322	8	ca	ca	NOUN
ejpam-720	322	9	,	,	PUNCT
ejpam-720	322	10	bd,∆	bd,∆	PROPN
ejpam-720	322	11	)	)	PUNCT
ejpam-720	322	12	.	.	PUNCT
ejpam-720	323	1	proof	proof	NOUN
ejpam-720	323	2	.	.	PUNCT
ejpam-720	324	1	from	from	ADP
ejpam-720	324	2	assumption	assumption	NOUN
ejpam-720	324	3	,	,	PUNCT
ejpam-720	324	4	we	we	PRON
ejpam-720	324	5	have	have	VERB
ejpam-720	324	6	y	y	NOUN
ejpam-720	324	7	=	=	PUNCT
ejpam-720	324	8	azb+	azb+	PROPN
ejpam-720	324	9	m	m	NOUN
ejpam-720	324	10	,	,	PUNCT
ejpam-720	324	11	and	and	CCONJ
ejpam-720	324	12	so	so	ADV
ejpam-720	324	13	x	x	X
ejpam-720	325	1	=	=	SYM
ejpam-720	325	2	cazbd+	cazbd+	X
ejpam-720	325	3	(	(	PUNCT
ejpam-720	325	4	c	c	NOUN
ejpam-720	325	5	m	m	VERB
ejpam-720	325	6	d+	d+	NOUN
ejpam-720	325	7	n	n	CCONJ
ejpam-720	325	8	)	)	PUNCT
ejpam-720	325	9	,	,	PUNCT
ejpam-720	325	10	i.e.	i.e.	X
ejpam-720	325	11	,	,	PUNCT
ejpam-720	325	12	x	x	X
ejpam-720	325	13	∼	∼	NOUN
ejpam-720	325	14	msnk′×n′(c	msnk′×n′(c	PROPN
ejpam-720	325	15	m	m	NOUN
ejpam-720	325	16	d+	d+	NOUN
ejpam-720	325	17	n	n	X
ejpam-720	325	18	,	,	PUNCT
ejpam-720	325	19	ca	ca	NOUN
ejpam-720	325	20	,	,	PUNCT
ejpam-720	325	21	bd,∆	bd,∆	PROPN
ejpam-720	325	22	)	)	PUNCT
ejpam-720	325	23	.	.	PUNCT
ejpam-720	326	1	theorem	theorem	NOUN
ejpam-720	326	2	5	5	NUM
ejpam-720	326	3	.	.	PUNCT
ejpam-720	327	1	let	let	VERB
ejpam-720	327	2	x	x	X
ejpam-720	327	3	1	1	X
ejpam-720	327	4	,	,	PUNCT
ejpam-720	327	5	x	x	NOUN
ejpam-720	327	6	2	2	NUM
ejpam-720	327	7	,	,	PUNCT
ejpam-720	327	8	.	.	PUNCT
ejpam-720	327	9	.	.	PUNCT
ejpam-720	327	10	.	.	PUNCT
ejpam-720	328	1	x	x	PUNCT
ejpam-720	328	2	n	n	PRON
ejpam-720	328	3	be	be	VERB
ejpam-720	328	4	independent	independent	ADJ
ejpam-720	328	5	,	,	PUNCT
ejpam-720	328	6	where	where	SCONJ
ejpam-720	328	7	x	x	PUNCT
ejpam-720	328	8	i	i	PRON
ejpam-720	328	9	is	be	AUX
ejpam-720	328	10	distributed	distribute	VERB
ejpam-720	328	11	according	accord	VERB
ejpam-720	328	12	to	to	ADP
ejpam-720	328	13	snk(0,σ1/2,α	snk(0,σ1/2,α	PROPN
ejpam-720	328	14	)	)	PUNCT
ejpam-720	328	15	.	.	PUNCT
ejpam-720	329	1	then	then	ADV
ejpam-720	329	2	,	,	PUNCT
ejpam-720	329	3	n	n	CCONJ
ejpam-720	329	4	∑	∑	ADV
ejpam-720	329	5	j=1	j=1	NOUN
ejpam-720	329	6	x	x	PUNCT
ejpam-720	329	7	′	′	NOUN
ejpam-720	329	8	jς−1x	jς−1x	ADP
ejpam-720	329	9	j	j	PROPN
ejpam-720	329	10	∼	∼	NOUN
ejpam-720	329	11	χ2	χ2	PROPN
ejpam-720	329	12	kn	kn	PROPN
ejpam-720	329	13	.	.	PUNCT
ejpam-720	330	1	proof	proof	NOUN
ejpam-720	330	2	.	.	PUNCT
ejpam-720	331	1	let	let	VERB
ejpam-720	331	2	y	y	PRON
ejpam-720	331	3	∼	∼	VERB
ejpam-720	331	4	nk(µ	nk(µ	ADV
ejpam-720	331	5	=	=	SYM
ejpam-720	331	6	0,σ	0,σ	PROPN
ejpam-720	331	7	)	)	PUNCT
ejpam-720	331	8	.	.	PUNCT
ejpam-720	332	1	then	then	ADV
ejpam-720	332	2	y′σ−1	y′σ−1	PROPN
ejpam-720	332	3	y	y	PROPN
ejpam-720	332	4	∼	∼	NOUN
ejpam-720	332	5	χ2	χ2	PROPN
ejpam-720	332	6	k	k	PROPN
ejpam-720	332	7	,	,	PUNCT
ejpam-720	332	8	and	and	CCONJ
ejpam-720	332	9	x	x	X
ejpam-720	332	10	′	′	NOUN
ejpam-720	333	1	jς−1x	jς−1x	PROPN
ejpam-720	333	2	j	j	PROPN
ejpam-720	333	3	and	and	CCONJ
ejpam-720	333	4	y′σ−1	y′σ−1	PROPN
ejpam-720	333	5	y	y	PROPN
ejpam-720	333	6	have	have	VERB
ejpam-720	333	7	the	the	DET
ejpam-720	333	8	same	same	ADJ
ejpam-720	333	9	distribution	distribution	NOUN
ejpam-720	333	10	from	from	ADP
ejpam-720	333	11	theorem	theorem	ADJ
ejpam-720	333	12	2	2	NUM
ejpam-720	333	13	.	.	PUNCT
ejpam-720	334	1	moreover	moreover	ADV
ejpam-720	334	2	,	,	PUNCT
ejpam-720	334	3	x	x	PUNCT
ejpam-720	334	4	′	′	NUM
ejpam-720	334	5	jς−1x	jς−1x	PROPN
ejpam-720	334	6	j	j	PROPN
ejpam-720	334	7	are	be	AUX
ejpam-720	334	8	independent	independent	ADJ
ejpam-720	334	9	.	.	PUNCT
ejpam-720	335	1	then	then	ADV
ejpam-720	335	2	the	the	DET
ejpam-720	335	3	desired	desire	VERB
ejpam-720	335	4	property	property	NOUN
ejpam-720	335	5	is	be	AUX
ejpam-720	335	6	proven	prove	VERB
ejpam-720	335	7	by	by	ADP
ejpam-720	335	8	the	the	DET
ejpam-720	335	9	addition	addition	NOUN
ejpam-720	335	10	property	property	NOUN
ejpam-720	335	11	of	of	ADP
ejpam-720	335	12	χ2	χ2	ADJ
ejpam-720	335	13	distribution	distribution	NOUN
ejpam-720	335	14	.	.	PUNCT
ejpam-720	336	1	it	it	PRON
ejpam-720	336	2	is	be	AUX
ejpam-720	336	3	well	well	ADV
ejpam-720	336	4	known	know	VERB
ejpam-720	336	5	that	that	SCONJ
ejpam-720	336	6	if	if	SCONJ
ejpam-720	336	7	x	x	PRON
ejpam-720	336	8	∼	∼	NOUN
ejpam-720	336	9	φk×n(m	φk×n(m	NOUN
ejpam-720	336	10	,	,	PUNCT
ejpam-720	336	11	aa′,ψ	aa′,ψ	PROPN
ejpam-720	336	12	=	=	SYM
ejpam-720	336	13	in	in	ADP
ejpam-720	336	14	)	)	PUNCT
ejpam-720	336	15	then	then	ADV
ejpam-720	336	16	the	the	DET
ejpam-720	336	17	matrix	matrix	NOUN
ejpam-720	336	18	variate	variate	NOUN
ejpam-720	336	19	x	x	PUNCT
ejpam-720	336	20	x	x	NOUN
ejpam-720	336	21	′	′	NOUN
ejpam-720	336	22	has	have	VERB
ejpam-720	336	23	the	the	DET
ejpam-720	336	24	wishart	wishart	NOUN
ejpam-720	336	25	distribution	distribution	NOUN
ejpam-720	336	26	with	with	ADP
ejpam-720	336	27	the	the	DET
ejpam-720	336	28	moment	moment	NOUN
ejpam-720	336	29	generating	generate	VERB
ejpam-720	336	30	function	function	NOUN
ejpam-720	336	31	given	give	VERB
ejpam-720	336	32	as	as	ADP
ejpam-720	336	33	|(i	|(i	NUM
ejpam-720	336	34	−	−	PROPN
ejpam-720	336	35	2(aa′)t	2(aa′)t	NOUN
ejpam-720	336	36	)	)	PUNCT
ejpam-720	336	37	|−n/2	|−n/2	NOUN
ejpam-720	336	38	,	,	PUNCT
ejpam-720	336	39	(	(	PUNCT
ejpam-720	336	40	aa′)−1−	aa′)−1−	X
ejpam-720	336	41	2	2	NUM
ejpam-720	336	42	t	t	NOUN
ejpam-720	336	43	being	be	AUX
ejpam-720	336	44	a	a	DET
ejpam-720	336	45	positive	positive	ADJ
ejpam-720	336	46	definite	definite	ADJ
ejpam-720	336	47	matrix	matrix	NOUN
ejpam-720	336	48	.	.	PUNCT
ejpam-720	337	1	the	the	DET
ejpam-720	337	2	following	follow	VERB
ejpam-720	337	3	theorem	theorem	NOUN
ejpam-720	337	4	implies	imply	VERB
ejpam-720	337	5	that	that	SCONJ
ejpam-720	337	6	the	the	DET
ejpam-720	337	7	decomposition	decomposition	NOUN
ejpam-720	337	8	for	for	ADP
ejpam-720	337	9	a	a	DET
ejpam-720	337	10	wishart	wishart	NOUN
ejpam-720	337	11	matrix	matrix	NOUN
ejpam-720	337	12	is	be	AUX
ejpam-720	337	13	not	not	PART
ejpam-720	337	14	unique	unique	ADJ
ejpam-720	337	15	.	.	PUNCT
ejpam-720	338	1	theorem	theorem	VERB
ejpam-720	338	2	6	6	NUM
ejpam-720	338	3	.	.	PUNCT
ejpam-720	339	1	if	if	SCONJ
ejpam-720	339	2	a	a	DET
ejpam-720	339	3	k×n	k×n	PROPN
ejpam-720	339	4	matrix	matrix	NOUN
ejpam-720	339	5	variate	variate	NOUN
ejpam-720	339	6	random	random	ADJ
ejpam-720	339	7	variable	variable	NOUN
ejpam-720	339	8	x	x	PUNCT
ejpam-720	339	9	has	have	VERB
ejpam-720	339	10	msnk×n(0k×n	msnk×n(0k×n	NOUN
ejpam-720	339	11	,	,	PUNCT
ejpam-720	339	12	a	a	DET
ejpam-720	339	13	,	,	PUNCT
ejpam-720	339	14	in,∆	in,∆	ADJ
ejpam-720	339	15	)	)	PUNCT
ejpam-720	339	16	distribution	distribution	NOUN
ejpam-720	339	17	for	for	ADP
ejpam-720	339	18	constant	constant	ADJ
ejpam-720	339	19	positive	positive	ADJ
ejpam-720	339	20	definite	definite	ADJ
ejpam-720	339	21	matrix	matrix	NOUN
ejpam-720	339	22	a	a	PRON
ejpam-720	339	23	of	of	ADP
ejpam-720	339	24	order	order	NOUN
ejpam-720	340	1	k	k	NOUN
ejpam-720	340	2	then	then	ADV
ejpam-720	340	3	x	x	X
ejpam-720	340	4	x	x	NOUN
ejpam-720	340	5	′	′	NUM
ejpam-720	340	6	∼wk(n	∼wk(n	NUM
ejpam-720	340	7	,	,	PUNCT
ejpam-720	340	8	aa′	aa′	ADJ
ejpam-720	340	9	)	)	PUNCT
ejpam-720	340	10	.	.	PUNCT
ejpam-720	341	1	proof	proof	NOUN
ejpam-720	341	2	.	.	PUNCT
ejpam-720	342	1	the	the	DET
ejpam-720	342	2	moment	moment	NOUN
ejpam-720	342	3	generating	generate	VERB
ejpam-720	342	4	function	function	NOUN
ejpam-720	342	5	of	of	ADP
ejpam-720	342	6	the	the	DET
ejpam-720	342	7	quadratic	quadratic	ADJ
ejpam-720	342	8	form	form	NOUN
ejpam-720	342	9	x	x	NOUN
ejpam-720	342	10	x	x	SYM
ejpam-720	342	11	′	′	NOUN
ejpam-720	342	12	can	can	AUX
ejpam-720	342	13	be	be	AUX
ejpam-720	342	14	obtained	obtain	VERB
ejpam-720	342	15	as	as	ADP
ejpam-720	342	16	follows	follow	VERB
ejpam-720	342	17	,	,	PUNCT
ejpam-720	342	18	for	for	ADP
ejpam-720	342	19	any	any	DET
ejpam-720	342	20	t	t	NOUN
ejpam-720	342	21	∈	∈	PROPN
ejpam-720	342	22	rk×k	rk×k	NOUN
ejpam-720	342	23	,	,	PUNCT
ejpam-720	342	24	with	with	ADP
ejpam-720	342	25	(	(	PUNCT
ejpam-720	342	26	aa′)−1	aa′)−1	NOUN
ejpam-720	342	27	−	−	ADP
ejpam-720	342	28	2	2	NUM
ejpam-720	342	29	t	t	NOUN
ejpam-720	342	30	being	be	AUX
ejpam-720	342	31	a	a	DET
ejpam-720	342	32	positive	positive	ADJ
ejpam-720	342	33	definite	definite	ADJ
ejpam-720	342	34	matrix	matrix	NOUN
ejpam-720	342	35	,	,	PUNCT
ejpam-720	342	36	e(etr(x	e(etr(x	NOUN
ejpam-720	342	37	x	x	NOUN
ejpam-720	342	38	′t	′t	NOUN
ejpam-720	342	39	)	)	PUNCT
ejpam-720	342	40	)	)	PUNCT
ejpam-720	343	1	=	=	SYM
ejpam-720	343	2	∫	∫	PROPN
ejpam-720	344	1	r	r	NOUN
ejpam-720	344	2	k×n	k×n	PROPN
ejpam-720	344	3	etr(x	etr(x	PROPN
ejpam-720	344	4	x	x	SYM
ejpam-720	344	5	′t	′t	NOUN
ejpam-720	344	6	)	)	PUNCT
ejpam-720	345	1	dfx	dfx	PROPN
ejpam-720	345	2	d.	d.	PROPN
ejpam-720	345	3	akdemir	akdemir	PROPN
ejpam-720	345	4	,	,	PUNCT
ejpam-720	345	5	a.k	a.k	PROPN
ejpam-720	345	6	.	.	PROPN
ejpam-720	345	7	gupta	gupta	PROPN
ejpam-720	345	8	/	/	SYM
ejpam-720	345	9	eur	eur	PROPN
ejpam-720	345	10	.	.	PUNCT
ejpam-720	346	1	j.	j.	PROPN
ejpam-720	346	2	pure	pure	PROPN
ejpam-720	346	3	appl	appl	PROPN
ejpam-720	346	4	.	.	PROPN
ejpam-720	346	5	math	math	PROPN
ejpam-720	346	6	,	,	PUNCT
ejpam-720	346	7	3	3	NUM
ejpam-720	346	8	(	(	PUNCT
ejpam-720	346	9	2010	2010	NUM
ejpam-720	346	10	)	)	PUNCT
ejpam-720	346	11	,	,	PUNCT
ejpam-720	346	12	128	128	NUM
ejpam-720	346	13	-	-	SYM
ejpam-720	346	14	140	140	NUM
ejpam-720	346	15	137	137	NUM
ejpam-720	346	16	=	=	SYM
ejpam-720	346	17	∫	∫	PROPN
ejpam-720	346	18	r	r	NOUN
ejpam-720	346	19	k×n	k×n	PROPN
ejpam-720	346	20	2nketr(−1	2nketr(−1	PROPN
ejpam-720	346	21	2	2	NUM
ejpam-720	346	22	(	(	PUNCT
ejpam-720	346	23	aa′)−1x	aa′)−1x	X
ejpam-720	346	24	x	x	SYM
ejpam-720	346	25	′+	′+	PUNCT
ejpam-720	346	26	x	x	PUNCT
ejpam-720	346	27	x	x	SYM
ejpam-720	346	28	′t	′t	NOUN
ejpam-720	346	29	)	)	PUNCT
ejpam-720	346	30	∏n	∏n	ADJ
ejpam-720	346	31	i=1	i=1	PROPN
ejpam-720	347	1	∏k	∏k	X
ejpam-720	347	2	j=1φ(α	j=1φ(α	PROPN
ejpam-720	347	3	jie	jie	PROPN
ejpam-720	348	1	′	′	NUM
ejpam-720	349	1	ja	ja	INTJ
ejpam-720	349	2	−1x	−1x	PROPN
ejpam-720	349	3	c	c	PROPN
ejpam-720	349	4	i	i	NOUN
ejpam-720	349	5	)	)	PUNCT
ejpam-720	349	6	(	(	PUNCT
ejpam-720	349	7	2π)nk/2|a|n	2π)nk/2|a|n	PROPN
ejpam-720	349	8	dx	dx	PROPN
ejpam-720	349	9	=	=	SYM
ejpam-720	349	10	∫	∫	PROPN
ejpam-720	350	1	r	r	X
ejpam-720	350	2	k×n	k×n	PROPN
ejpam-720	350	3	2nketr(−1	2nketr(−1	PROPN
ejpam-720	350	4	2	2	NUM
ejpam-720	350	5	x	x	SYM
ejpam-720	350	6	′((aa′)−1	′((aa′)−1	NOUN
ejpam-720	350	7	−	−	PROPN
ejpam-720	350	8	2	2	NUM
ejpam-720	350	9	t	t	NOUN
ejpam-720	350	10	)	)	PUNCT
ejpam-720	350	11	x	x	SYM
ejpam-720	350	12	)	)	PUNCT
ejpam-720	350	13	∏n	∏n	ADJ
ejpam-720	350	14	i=1	i=1	PROPN
ejpam-720	351	1	∏k	∏k	X
ejpam-720	351	2	j=1φ(α	j=1φ(α	PROPN
ejpam-720	351	3	jie	jie	PROPN
ejpam-720	352	1	′	′	NUM
ejpam-720	352	2	j	j	PROPN
ejpam-720	352	3	a−1x	a−1x	ADP
ejpam-720	352	4	c	c	PROPN
ejpam-720	352	5	i	i	PROPN
ejpam-720	352	6	)	)	PUNCT
ejpam-720	353	1	(	(	PUNCT
ejpam-720	353	2	2π)nk/2|a|n	2π)nk/2|a|n	PROPN
ejpam-720	353	3	dx	dx	PROPN
ejpam-720	353	4	=	=	SYM
ejpam-720	353	5	∫	∫	PROPN
ejpam-720	354	1	r	r	X
ejpam-720	354	2	k×n	k×n	PROPN
ejpam-720	354	3	2nketr(−1	2nketr(−1	NUM
ejpam-720	354	4	2	2	NUM
ejpam-720	354	5	z	z	NOUN
ejpam-720	354	6	′z	′z	PROPN
ejpam-720	354	7	)	)	PUNCT
ejpam-720	354	8	∏n	∏n	VERB
ejpam-720	354	9	i=1	i=1	PROPN
ejpam-720	355	1	∏k	∏k	X
ejpam-720	355	2	j=1φ(α	j=1φ(α	PROPN
ejpam-720	355	3	jie	jie	PROPN
ejpam-720	356	1	′	′	NUM
ejpam-720	356	2	ja	ja	PROPN
ejpam-720	356	3	−1((aa′)−1−	−1((aa′)−1−	VERB
ejpam-720	356	4	2	2	NUM
ejpam-720	356	5	t	t	NOUN
ejpam-720	356	6	)	)	PUNCT
ejpam-720	356	7	1/2zc	1/2zc	PROPN
ejpam-720	357	1	i	i	NOUN
ejpam-720	357	2	)	)	PUNCT
ejpam-720	357	3	(	(	PUNCT
ejpam-720	357	4	2π)nk/2|(i	2π)nk/2|(i	PRON
ejpam-720	357	5	−	−	PROPN
ejpam-720	357	6	2(aa′)t	2(aa′)t	NOUN
ejpam-720	357	7	)	)	PUNCT
ejpam-720	357	8	|n/2	|n/2	PROPN
ejpam-720	357	9	dz	dz	X
ejpam-720	357	10	=	=	SYM
ejpam-720	357	11	2nk	2nk	NOUN
ejpam-720	357	12	∏n	∏n	ADJ
ejpam-720	357	13	i=1	i=1	PROPN
ejpam-720	358	1	∏k	∏k	X
ejpam-720	358	2	j=1	j=1	ADJ
ejpam-720	358	3	ez(φ(cz	ez(φ(cz	NOUN
ejpam-720	358	4	)	)	PUNCT
ejpam-720	358	5	)	)	PUNCT
ejpam-720	359	1	(	(	PUNCT
ejpam-720	359	2	2π)nk/2|(i	2π)nk/2|(i	PRON
ejpam-720	359	3	−	−	PROPN
ejpam-720	359	4	2(aa′)t	2(aa′)t	NOUN
ejpam-720	359	5	)	)	PUNCT
ejpam-720	359	6	|n/2	|n/2	NOUN
ejpam-720	359	7	(	(	PUNCT
ejpam-720	359	8	z	z	NOUN
ejpam-720	359	9	∼	∼	NOUN
ejpam-720	359	10	φ(z	φ(z	PROPN
ejpam-720	359	11	)	)	PUNCT
ejpam-720	359	12	and	and	CCONJ
ejpam-720	359	13	c	c	NOUN
ejpam-720	359	14	∈	∈	PROPN
ejpam-720	359	15	r	r	NOUN
ejpam-720	359	16	is	be	AUX
ejpam-720	359	17	a	a	DET
ejpam-720	359	18	constant	constant	ADJ
ejpam-720	359	19	)	)	PUNCT
ejpam-720	359	20	=	=	SYM
ejpam-720	359	21	2nk(1	2nk(1	NOUN
ejpam-720	359	22	2	2	NUM
ejpam-720	359	23	)	)	PUNCT
ejpam-720	359	24	nk	nk	PROPN
ejpam-720	359	25	|(i	|(i	PROPN
ejpam-720	359	26	−	−	PROPN
ejpam-720	359	27	2(aa′)t	2(aa′)t	NOUN
ejpam-720	359	28	)	)	PUNCT
ejpam-720	359	29	|n/2	|n/2	NOUN
ejpam-720	359	30	=	=	SYM
ejpam-720	359	31	|(i	|(i	PROPN
ejpam-720	359	32	−	−	PROPN
ejpam-720	359	33	2(aa′)t	2(aa′)t	NOUN
ejpam-720	359	34	)	)	PUNCT
ejpam-720	359	35	|−n/2	|−n/2	NOUN
ejpam-720	359	36	.	.	PUNCT
ejpam-720	360	1	3	3	X
ejpam-720	360	2	.	.	NUM
ejpam-720	360	3	generalized	generalize	VERB
ejpam-720	360	4	matrix	matrix	NOUN
ejpam-720	360	5	variate	variate	NOUN
ejpam-720	360	6	skew	skew	ADJ
ejpam-720	360	7	normal	normal	ADJ
ejpam-720	360	8	distribution	distribution	NOUN
ejpam-720	360	9	definition	definition	NOUN
ejpam-720	360	10	5	5	NUM
ejpam-720	360	11	.	.	PUNCT
ejpam-720	361	1	(	(	PUNCT
ejpam-720	361	2	generalized	generalized	ADJ
ejpam-720	361	3	matrix	matrix	NOUN
ejpam-720	361	4	variate	variate	NOUN
ejpam-720	361	5	skew	skew	ADJ
ejpam-720	361	6	normal	normal	ADJ
ejpam-720	361	7	density	density	NOUN
ejpam-720	361	8	)	)	PUNCT
ejpam-720	361	9	.	.	PUNCT
ejpam-720	362	1	let	let	VERB
ejpam-720	362	2	x	x	PUNCT
ejpam-720	362	3	=	=	PRON
ejpam-720	362	4	azb	azb	PROPN
ejpam-720	362	5	+	+	X
ejpam-720	362	6	m	m	VERB
ejpam-720	362	7	where	where	SCONJ
ejpam-720	362	8	a	a	DET
ejpam-720	362	9	(	(	PUNCT
ejpam-720	362	10	k×	k×	PROPN
ejpam-720	362	11	k	k	PROPN
ejpam-720	362	12	)	)	PUNCT
ejpam-720	362	13	,	,	PUNCT
ejpam-720	362	14	b	b	X
ejpam-720	362	15	(	(	PUNCT
ejpam-720	362	16	n×	n×	PROPN
ejpam-720	362	17	n	n	CCONJ
ejpam-720	362	18	)	)	PUNCT
ejpam-720	362	19	and	and	CCONJ
ejpam-720	362	20	m	m	PROPN
ejpam-720	362	21	(	(	PUNCT
ejpam-720	362	22	k×	k×	PROPN
ejpam-720	362	23	n	n	CCONJ
ejpam-720	362	24	)	)	PUNCT
ejpam-720	362	25	are	be	AUX
ejpam-720	362	26	constant	constant	ADJ
ejpam-720	362	27	matrices	matrix	NOUN
ejpam-720	362	28	and	and	CCONJ
ejpam-720	362	29	let	let	VERB
ejpam-720	362	30	a	a	DET
ejpam-720	362	31	,	,	PUNCT
ejpam-720	362	32	b	b	NOUN
ejpam-720	362	33	be	be	AUX
ejpam-720	362	34	nonsingular	nonsingular	ADJ
ejpam-720	362	35	.	.	PUNCT
ejpam-720	363	1	we	we	PRON
ejpam-720	363	2	call	call	VERB
ejpam-720	363	3	the	the	DET
ejpam-720	363	4	density	density	NOUN
ejpam-720	363	5	2knφk×n(a	2knφk×n(a	NUM
ejpam-720	363	6	−1(x	−1(x	NOUN
ejpam-720	363	7	−m)b−1	−m)b−1	NOUN
ejpam-720	363	8	)	)	PUNCT
ejpam-720	364	1	∏k	∏k	X
ejpam-720	364	2	j=1	j=1	ADJ
ejpam-720	364	3	h(α	h(α	PROPN
ejpam-720	364	4	jie	jie	PROPN
ejpam-720	365	1	′	′	NUM
ejpam-720	365	2	j	j	PROPN
ejpam-720	365	3	(	(	PUNCT
ejpam-720	365	4	a−1(x	a−1(x	PROPN
ejpam-720	365	5	−m)b−1)c	−m)b−1)c	PROPN
ejpam-720	365	6	i	i	PROPN
ejpam-720	365	7	)	)	PUNCT
ejpam-720	365	8	|a|n|b|k	|a|n|b|k	PROPN
ejpam-720	365	9	(	(	PUNCT
ejpam-720	365	10	13	13	NUM
ejpam-720	365	11	)	)	PUNCT
ejpam-720	365	12	the	the	DET
ejpam-720	365	13	matrix	matrix	NOUN
ejpam-720	365	14	variate	variate	NOUN
ejpam-720	365	15	skew	skew	ADJ
ejpam-720	365	16	normal	normal	ADJ
ejpam-720	365	17	density	density	NOUN
ejpam-720	365	18	and	and	CCONJ
ejpam-720	365	19	denote	denote	VERB
ejpam-720	365	20	this	this	PRON
ejpam-720	365	21	by	by	ADP
ejpam-720	365	22	gmsnh	gmsnh	PROPN
ejpam-720	365	23	k×n	k×n	PROPN
ejpam-720	365	24	(	(	PUNCT
ejpam-720	365	25	m	m	PROPN
ejpam-720	365	26	,	,	PUNCT
ejpam-720	365	27	a	a	PRON
ejpam-720	365	28	,	,	PUNCT
ejpam-720	365	29	b,∆	b,∆	NOUN
ejpam-720	365	30	)	)	PUNCT
ejpam-720	365	31	.	.	PUNCT
ejpam-720	366	1	let	let	VERB
ejpam-720	366	2	z	z	NOUN
ejpam-720	366	3	∼	∼	VERB
ejpam-720	366	4	gmsnh	gmsnh	PROPN
ejpam-720	366	5	k×n	k×n	PROPN
ejpam-720	366	6	(	(	PUNCT
ejpam-720	366	7	0k×n	0k×n	PROPN
ejpam-720	366	8	,	,	PUNCT
ejpam-720	366	9	ik	ik	X
ejpam-720	366	10	,	,	PUNCT
ejpam-720	366	11	in,∆	in,∆	PROPN
ejpam-720	366	12	)	)	PUNCT
ejpam-720	366	13	.	.	PUNCT
ejpam-720	367	1	the	the	DET
ejpam-720	367	2	moment	moment	NOUN
ejpam-720	367	3	generating	generate	VERB
ejpam-720	367	4	function	function	NOUN
ejpam-720	367	5	of	of	ADP
ejpam-720	367	6	z	z	PROPN
ejpam-720	367	7	evaluated	evaluate	VERB
ejpam-720	367	8	at	at	ADP
ejpam-720	367	9	tk×n	tk×n	PROPN
ejpam-720	367	10	is	be	AUX
ejpam-720	367	11	mz	mz	PROPN
ejpam-720	367	12	(	(	PUNCT
ejpam-720	367	13	tk×n	tk×n	NOUN
ejpam-720	367	14	)	)	PUNCT
ejpam-720	367	15	,	,	PUNCT
ejpam-720	367	16	it	it	PRON
ejpam-720	367	17	can	can	AUX
ejpam-720	367	18	be	be	AUX
ejpam-720	367	19	obtained	obtain	VERB
ejpam-720	367	20	as	as	SCONJ
ejpam-720	367	21	follows	follow	VERB
ejpam-720	367	22	:	:	PUNCT
ejpam-720	367	23	mz	mz	PROPN
ejpam-720	367	24	(	(	PUNCT
ejpam-720	367	25	tk×n	tk×n	NOUN
ejpam-720	367	26	)	)	PUNCT
ejpam-720	367	27	=	=	SYM
ejpam-720	367	28	ehk×n(z	ehk×n(z	PROPN
ejpam-720	367	29	)	)	PUNCT
ejpam-720	367	30	(	(	PUNCT
ejpam-720	367	31	etr(t	etr(t	NOUN
ejpam-720	367	32	′k×nz	′k×nz	PROPN
ejpam-720	367	33	)	)	PUNCT
ejpam-720	367	34	n	n	CCONJ
ejpam-720	367	35	∏	∏	PROPN
ejpam-720	367	36	i=1	i=1	PROPN
ejpam-720	367	37	k	k	PROPN
ejpam-720	367	38	∏	∏	X
ejpam-720	367	39	j=1	j=1	NOUN
ejpam-720	367	40	h(α	h(α	ADJ
ejpam-720	367	41	jie	jie	PROPN
ejpam-720	368	1	′	′	NUM
ejpam-720	369	1	j	j	PROPN
ejpam-720	369	2	zc	zc	INTJ
ejpam-720	369	3	i	i	PROPN
ejpam-720	369	4	)	)	PUNCT
ejpam-720	369	5	)	)	PUNCT
ejpam-720	370	1	=	=	SYM
ejpam-720	370	2	2k	2k	NUM
ejpam-720	370	3	(	(	PUNCT
ejpam-720	370	4	2π)k/2	2π)k/2	NUM
ejpam-720	370	5	n	n	PRON
ejpam-720	370	6	∏	∏	NUM
ejpam-720	370	7	i=1	i=1	PROPN
ejpam-720	370	8	∫	∫	PROPN
ejpam-720	370	9	rk	rk	NOUN
ejpam-720	370	10	e−	e−	PROPN
ejpam-720	370	11	1	1	NUM
ejpam-720	370	12	2	2	NUM
ejpam-720	370	13	z′	z′	NUM
ejpam-720	370	14	i	i	NOUN
ejpam-720	370	15	z	z	NOUN
ejpam-720	370	16	i+t	i+t	PROPN
ejpam-720	371	1	i	i	PRON
ejpam-720	371	2	′z	′z	VERB
ejpam-720	371	3	i	i	PRON
ejpam-720	371	4	k	k	PROPN
ejpam-720	371	5	∏	∏	X
ejpam-720	371	6	j=1	j=1	NOUN
ejpam-720	371	7	h(α	h(α	PROPN
ejpam-720	371	8	jie	jie	PROPN
ejpam-720	372	1	′	′	NUM
ejpam-720	373	1	j	j	PROPN
ejpam-720	373	2	z	z	NOUN
ejpam-720	374	1	i)dz	i)dz	PROPN
ejpam-720	374	2	=	=	PROPN
ejpam-720	374	3	2k	2k	PROPN
ejpam-720	374	4	(	(	PUNCT
ejpam-720	374	5	2π)k/2	2π)k/2	NUM
ejpam-720	374	6	n	n	PRON
ejpam-720	374	7	∏	∏	NUM
ejpam-720	374	8	i=1	i=1	PROPN
ejpam-720	374	9	∫	∫	PROPN
ejpam-720	374	10	rk	rk	NOUN
ejpam-720	374	11	e−	e−	PROPN
ejpam-720	374	12	1	1	NUM
ejpam-720	374	13	2	2	NUM
ejpam-720	374	14	(	(	PUNCT
ejpam-720	374	15	z′	z′	NUM
ejpam-720	374	16	i	i	PRON
ejpam-720	374	17	z	z	PROPN
ejpam-720	374	18	i−2	i−2	PROPN
ejpam-720	374	19	t	t	NOUN
ejpam-720	375	1	i	i	PRON
ejpam-720	375	2	′z	′z	VERB
ejpam-720	375	3	i	i	PRON
ejpam-720	375	4	)	)	PUNCT
ejpam-720	376	1	k	k	NOUN
ejpam-720	376	2	∏	∏	X
ejpam-720	376	3	j=1	j=1	NOUN
ejpam-720	376	4	h(α	h(α	PROPN
ejpam-720	376	5	jie	jie	PROPN
ejpam-720	377	1	′	′	NUM
ejpam-720	378	1	j	j	PROPN
ejpam-720	378	2	z	z	PROPN
ejpam-720	379	1	i)dz	i)dz	PROPN
ejpam-720	379	2	d.	d.	PROPN
ejpam-720	379	3	akdemir	akdemir	PROPN
ejpam-720	379	4	,	,	PUNCT
ejpam-720	379	5	a.k	a.k	PROPN
ejpam-720	379	6	.	.	PROPN
ejpam-720	379	7	gupta	gupta	PROPN
ejpam-720	379	8	/	/	SYM
ejpam-720	379	9	eur	eur	PROPN
ejpam-720	379	10	.	.	PUNCT
ejpam-720	380	1	j.	j.	PROPN
ejpam-720	380	2	pure	pure	PROPN
ejpam-720	380	3	appl	appl	PROPN
ejpam-720	380	4	.	.	PROPN
ejpam-720	380	5	math	math	PROPN
ejpam-720	380	6	,	,	PUNCT
ejpam-720	380	7	3	3	NUM
ejpam-720	380	8	(	(	PUNCT
ejpam-720	380	9	2010	2010	NUM
ejpam-720	380	10	)	)	PUNCT
ejpam-720	380	11	,	,	PUNCT
ejpam-720	380	12	128	128	NUM
ejpam-720	380	13	-	-	SYM
ejpam-720	380	14	140	140	NUM
ejpam-720	380	15	138	138	NUM
ejpam-720	380	16	=	=	SYM
ejpam-720	380	17	n	n	PRON
ejpam-720	380	18	∏	∏	NUM
ejpam-720	380	19	i=1	i=1	X
ejpam-720	380	20	2ke	2ke	ADJ
ejpam-720	380	21	1	1	NUM
ejpam-720	380	22	2	2	NUM
ejpam-720	380	23	t	t	NOUN
ejpam-720	381	1	i	i	PRON
ejpam-720	381	2	′	′	VERB
ejpam-720	382	1	t	t	INTJ
ejpam-720	383	1	i	i	PRON
ejpam-720	383	2	(	(	PUNCT
ejpam-720	383	3	2π)k/2	2π)k/2	NUM
ejpam-720	383	4	∫	∫	PROPN
ejpam-720	383	5	rk	rk	NOUN
ejpam-720	383	6	e−	e−	PROPN
ejpam-720	383	7	1	1	NUM
ejpam-720	383	8	2	2	NUM
ejpam-720	383	9	(	(	PUNCT
ejpam-720	383	10	z′	z′	NUM
ejpam-720	383	11	i	i	PRON
ejpam-720	383	12	z	z	PROPN
ejpam-720	383	13	i−2	i−2	PROPN
ejpam-720	383	14	t	t	NOUN
ejpam-720	383	15	i	i	PRON
ejpam-720	383	16	′z	′z	VERB
ejpam-720	383	17	i+t	i+t	PROPN
ejpam-720	384	1	i	i	PRON
ejpam-720	384	2	′	′	VERB
ejpam-720	384	3	t	t	PROPN
ejpam-720	385	1	i	i	PRON
ejpam-720	385	2	)	)	PUNCT
ejpam-720	386	1	k	k	NOUN
ejpam-720	386	2	∏	∏	X
ejpam-720	386	3	j=1	j=1	NOUN
ejpam-720	386	4	h(α	h(α	PROPN
ejpam-720	386	5	jie	jie	PROPN
ejpam-720	387	1	′	′	NUM
ejpam-720	388	1	j	j	PROPN
ejpam-720	388	2	z	z	NOUN
ejpam-720	389	1	i)dz	i)dz	PROPN
ejpam-720	389	2	=	=	PUNCT
ejpam-720	389	3	n	n	PRON
ejpam-720	389	4	∏	∏	NUM
ejpam-720	389	5	i=1	i=1	X
ejpam-720	389	6	2ke	2ke	ADJ
ejpam-720	389	7	1	1	NUM
ejpam-720	389	8	2	2	NUM
ejpam-720	389	9	t	t	NOUN
ejpam-720	390	1	i	i	PRON
ejpam-720	390	2	′	′	VERB
ejpam-720	391	1	t	t	INTJ
ejpam-720	391	2	i	i	PRON
ejpam-720	391	3	(	(	PUNCT
ejpam-720	391	4	2π)k/2	2π)k/2	NUM
ejpam-720	391	5	∫	∫	PROPN
ejpam-720	391	6	rk	rk	NOUN
ejpam-720	391	7	e−	e−	PROPN
ejpam-720	391	8	1	1	NUM
ejpam-720	391	9	2	2	NUM
ejpam-720	391	10	(	(	PUNCT
ejpam-720	391	11	z	z	NOUN
ejpam-720	391	12	i−t	i−t	PROPN
ejpam-720	391	13	i	i	PROPN
ejpam-720	391	14	)	)	PUNCT
ejpam-720	391	15	′(z	′(z	NOUN
ejpam-720	391	16	i−t	i−t	PROPN
ejpam-720	391	17	i	i	PRON
ejpam-720	391	18	)	)	PUNCT
ejpam-720	392	1	k	k	NOUN
ejpam-720	392	2	∏	∏	X
ejpam-720	392	3	j=1	j=1	NOUN
ejpam-720	392	4	h(α	h(α	PROPN
ejpam-720	392	5	jie	jie	PROPN
ejpam-720	393	1	′	′	NUM
ejpam-720	394	1	j	j	PROPN
ejpam-720	394	2	z	z	NOUN
ejpam-720	395	1	i)dz	i)dz	PROPN
ejpam-720	395	2	=	=	PUNCT
ejpam-720	395	3	n	n	PRON
ejpam-720	395	4	∏	∏	NUM
ejpam-720	395	5	i=1	i=1	X
ejpam-720	395	6	2ke	2ke	ADJ
ejpam-720	395	7	1	1	NUM
ejpam-720	395	8	2	2	NUM
ejpam-720	395	9	t	t	NOUN
ejpam-720	396	1	i	i	PRON
ejpam-720	396	2	′	′	VERB
ejpam-720	397	1	t	t	INTJ
ejpam-720	398	1	i	i	PRON
ejpam-720	398	2	(	(	PUNCT
ejpam-720	398	3	2π)k/2	2π)k/2	NUM
ejpam-720	398	4	k	k	X
ejpam-720	398	5	∏	∏	PROPN
ejpam-720	399	1	j=1	j=1	NOUN
ejpam-720	399	2	∫	∫	PROPN
ejpam-720	399	3	r	r	NOUN
ejpam-720	399	4	e−	e−	PROPN
ejpam-720	399	5	1	1	NUM
ejpam-720	399	6	2	2	NUM
ejpam-720	399	7	(	(	PUNCT
ejpam-720	399	8	zi	zi	NOUN
ejpam-720	399	9	j−(t	j−(t	PROPN
ejpam-720	399	10	)	)	PUNCT
ejpam-720	400	1	i	i	PRON
ejpam-720	400	2	j	j	NOUN
ejpam-720	400	3	)	)	PUNCT
ejpam-720	400	4	2	2	NUM
ejpam-720	400	5	h(α	h(α	NOUN
ejpam-720	401	1	ji	ji	NOUN
ejpam-720	401	2	z	z	NOUN
ejpam-720	402	1	i	i	PRON
ejpam-720	402	2	j)dzi	j)dzi	PROPN
ejpam-720	402	3	j	j	PROPN
ejpam-720	403	1	=	=	PUNCT
ejpam-720	403	2	n	n	PRON
ejpam-720	403	3	∏	∏	NUM
ejpam-720	403	4	i=1	i=1	X
ejpam-720	403	5	2ke	2ke	ADJ
ejpam-720	403	6	1	1	NUM
ejpam-720	403	7	2	2	NUM
ejpam-720	403	8	t	t	NOUN
ejpam-720	404	1	i	i	PRON
ejpam-720	404	2	′	′	VERB
ejpam-720	405	1	t	t	INTJ
ejpam-720	406	1	i	i	PRON
ejpam-720	406	2	k	k	PROPN
ejpam-720	406	3	∏	∏	X
ejpam-720	407	1	j=1	j=1	NOUN
ejpam-720	407	2	∫	∫	PROPN
ejpam-720	407	3	r	r	NOUN
ejpam-720	407	4	1	1	NUM
ejpam-720	407	5	p	p	NOUN
ejpam-720	407	6	(	(	PUNCT
ejpam-720	407	7	2π	2π	NOUN
ejpam-720	407	8	)	)	PUNCT
ejpam-720	407	9	e−	e−	X
ejpam-720	407	10	1	1	NUM
ejpam-720	407	11	2	2	NUM
ejpam-720	407	12	(	(	PUNCT
ejpam-720	407	13	yi	yi	PROPN
ejpam-720	407	14	j	j	PROPN
ejpam-720	407	15	)	)	PUNCT
ejpam-720	407	16	2	2	NUM
ejpam-720	407	17	h(α	h(α	ADV
ejpam-720	408	1	ji	ji	NOUN
ejpam-720	408	2	y	y	NOUN
ejpam-720	408	3	i	i	PRON
ejpam-720	408	4	j	j	PROPN
ejpam-720	409	1	+	+	NOUN
ejpam-720	409	2	α	α	NOUN
ejpam-720	409	3	ji(t	ji(t	NOUN
ejpam-720	409	4	)	)	PUNCT
ejpam-720	410	1	i	i	PRON
ejpam-720	410	2	j)d	j)d	VERB
ejpam-720	411	1	yi	yi	PROPN
ejpam-720	411	2	j	j	PROPN
ejpam-720	412	1	=	=	SYM
ejpam-720	412	2	n	n	PRON
ejpam-720	412	3	∏	∏	NUM
ejpam-720	412	4	i=1	i=1	X
ejpam-720	412	5	2ke	2ke	ADJ
ejpam-720	412	6	1	1	NUM
ejpam-720	412	7	2	2	NUM
ejpam-720	412	8	t	t	NOUN
ejpam-720	413	1	i	i	PRON
ejpam-720	413	2	′	′	VERB
ejpam-720	414	1	t	t	INTJ
ejpam-720	415	1	i	i	PRON
ejpam-720	415	2	k	k	PROPN
ejpam-720	415	3	∏	∏	PROPN
ejpam-720	415	4	j=1	j=1	ADJ
ejpam-720	415	5	h	h	NOUN
ejpam-720	415	6	(	(	PUNCT
ejpam-720	415	7	α	α	PROPN
ejpam-720	415	8	ji(t	ji(t	ADJ
ejpam-720	415	9	)	)	PUNCT
ejpam-720	416	1	i	i	PRON
ejpam-720	416	2	j	j	PROPN
ejpam-720	417	1	p	p	X
ejpam-720	417	2	(	(	PUNCT
ejpam-720	417	3	1+α	1+α	NUM
ejpam-720	417	4	ji	ji	NOUN
ejpam-720	417	5	2	2	NUM
ejpam-720	417	6	)	)	PUNCT
ejpam-720	417	7	)	)	PUNCT
ejpam-720	418	1	=	=	PUNCT
ejpam-720	419	1	2nketr	2nketr	NUM
ejpam-720	419	2	(	(	PUNCT
ejpam-720	419	3	1	1	NUM
ejpam-720	419	4	2	2	NUM
ejpam-720	419	5	tk×n	tk×n	PROPN
ejpam-720	419	6	′tk×n	′tk×n	PROPN
ejpam-720	419	7	)	)	PUNCT
ejpam-720	419	8	n	n	CCONJ
ejpam-720	419	9	∏	∏	PROPN
ejpam-720	419	10	i=1	i=1	PROPN
ejpam-720	419	11	k	k	PROPN
ejpam-720	419	12	∏	∏	PROPN
ejpam-720	419	13	j=1	j=1	ADJ
ejpam-720	419	14	h	h	NOUN
ejpam-720	419	15	(	(	PUNCT
ejpam-720	419	16	α	α	PROPN
ejpam-720	419	17	ji(t	ji(t	ADJ
ejpam-720	419	18	)	)	PUNCT
ejpam-720	420	1	i	i	PRON
ejpam-720	420	2	j	j	PROPN
ejpam-720	421	1	p	p	X
ejpam-720	421	2	(	(	PUNCT
ejpam-720	421	3	1+α	1+α	NUM
ejpam-720	421	4	ji	ji	NOUN
ejpam-720	421	5	2	2	NUM
ejpam-720	421	6	)	)	PUNCT
ejpam-720	421	7	)	)	PUNCT
ejpam-720	421	8	.	.	PUNCT
ejpam-720	422	1	let	let	VERB
ejpam-720	422	2	x	x	PUNCT
ejpam-720	422	3	=	=	PRON
ejpam-720	422	4	azb	azb	PROPN
ejpam-720	422	5	+	+	CCONJ
ejpam-720	422	6	m	m	VERB
ejpam-720	422	7	for	for	ADP
ejpam-720	422	8	constant	constant	ADJ
ejpam-720	422	9	(	(	PUNCT
ejpam-720	422	10	k×	k×	PROPN
ejpam-720	422	11	k	k	NOUN
ejpam-720	422	12	)	)	PUNCT
ejpam-720	422	13	matrix	matrix	NOUN
ejpam-720	422	14	a	a	PRON
ejpam-720	422	15	,	,	PUNCT
ejpam-720	422	16	(	(	PUNCT
ejpam-720	422	17	n×	n×	NOUN
ejpam-720	422	18	n	n	CCONJ
ejpam-720	422	19	)	)	PUNCT
ejpam-720	422	20	matrix	matrix	NOUN
ejpam-720	422	21	b	b	NOUN
ejpam-720	422	22	and	and	CCONJ
ejpam-720	422	23	k×	k×	PROPN
ejpam-720	422	24	n	n	CCONJ
ejpam-720	422	25	dimensional	dimensional	ADJ
ejpam-720	422	26	constant	constant	ADJ
ejpam-720	422	27	matrix	matrix	NOUN
ejpam-720	422	28	m	m	NOUN
ejpam-720	422	29	.	.	PUNCT
ejpam-720	423	1	then	then	ADV
ejpam-720	423	2	the	the	DET
ejpam-720	423	3	moment	moment	NOUN
ejpam-720	423	4	generating	generate	VERB
ejpam-720	423	5	function	function	NOUN
ejpam-720	423	6	of	of	ADP
ejpam-720	423	7	x	x	PUNCT
ejpam-720	423	8	evaluated	evaluate	VERB
ejpam-720	423	9	at	at	ADP
ejpam-720	423	10	tk×n	tk×n	PROPN
ejpam-720	423	11	∈	∈	PROPN
ejpam-720	423	12	rk×n	rk×n	PROPN
ejpam-720	423	13	is	be	AUX
ejpam-720	423	14	mx	mx	PROPN
ejpam-720	423	15	(	(	PUNCT
ejpam-720	423	16	tk×n	tk×n	NOUN
ejpam-720	423	17	)	)	PUNCT
ejpam-720	423	18	,	,	PUNCT
ejpam-720	423	19	this	this	PRON
ejpam-720	423	20	can	can	AUX
ejpam-720	423	21	be	be	AUX
ejpam-720	423	22	obtained	obtain	VERB
ejpam-720	423	23	as	as	SCONJ
ejpam-720	423	24	follows	follow	VERB
ejpam-720	423	25	:	:	PUNCT
ejpam-720	423	26	mx	mx	PROPN
ejpam-720	423	27	(	(	PUNCT
ejpam-720	423	28	tk×n	tk×n	NOUN
ejpam-720	423	29	)	)	PUNCT
ejpam-720	423	30	=	=	PUNCT
ejpam-720	424	1	2nketr(t	2nketr(t	NUM
ejpam-720	425	1	′k×nm	′k×nm	NOUN
ejpam-720	425	2	+	+	CCONJ
ejpam-720	425	3	1	1	NUM
ejpam-720	425	4	2	2	NUM
ejpam-720	425	5	(	(	PUNCT
ejpam-720	425	6	a′tk×nb′)′a′tk×nb′	a′tk×nb′)′a′tk×nb′	PROPN
ejpam-720	425	7	)	)	PUNCT
ejpam-720	425	8	×	×	PROPN
ejpam-720	425	9	n	n	CCONJ
ejpam-720	425	10	∏	∏	PROPN
ejpam-720	425	11	i=1	i=1	PROPN
ejpam-720	425	12	k	k	PROPN
ejpam-720	425	13	∏	∏	PROPN
ejpam-720	425	14	j=1	j=1	ADJ
ejpam-720	425	15	h	h	NOUN
ejpam-720	425	16	(	(	PUNCT
ejpam-720	425	17	α	α	NOUN
ejpam-720	425	18	ji(a	ji(a	NOUN
ejpam-720	426	1	′tk×nb′)i	′tk×nb′)i	PROPN
ejpam-720	426	2	j	j	PROPN
ejpam-720	426	3	p	p	X
ejpam-720	426	4	(	(	PUNCT
ejpam-720	426	5	1+α	1+α	NUM
ejpam-720	426	6	ji	ji	NOUN
ejpam-720	426	7	2	2	NUM
ejpam-720	426	8	)	)	PUNCT
ejpam-720	426	9	)	)	PUNCT
ejpam-720	426	10	.	.	PUNCT
ejpam-720	427	1	hence	hence	ADV
ejpam-720	427	2	the	the	DET
ejpam-720	427	3	following	follow	VERB
ejpam-720	427	4	definition	definition	NOUN
ejpam-720	427	5	and	and	CCONJ
ejpam-720	427	6	theorems	theorem	NOUN
ejpam-720	427	7	.	.	PUNCT
ejpam-720	428	1	definition	definition	NOUN
ejpam-720	428	2	6	6	NUM
ejpam-720	428	3	.	.	PUNCT
ejpam-720	429	1	(	(	PUNCT
ejpam-720	429	2	matrix	matrix	NOUN
ejpam-720	429	3	variate	variate	NOUN
ejpam-720	429	4	generalized	generalize	VERB
ejpam-720	429	5	skew	skew	ADJ
ejpam-720	429	6	normal	normal	ADJ
ejpam-720	429	7	distribution	distribution	NOUN
ejpam-720	429	8	)	)	PUNCT
ejpam-720	429	9	let	let	VERB
ejpam-720	429	10	zi	zi	NOUN
ejpam-720	429	11	j	j	PROPN
ejpam-720	429	12	∼	∼	NOUN
ejpam-720	429	13	2φ(zi	2φ(zi	NUM
ejpam-720	429	14	j)h(α	j)h(α	ADV
ejpam-720	429	15	jizi	jizi	PROPN
ejpam-720	429	16	j	j	PROPN
ejpam-720	429	17	)	)	PUNCT
ejpam-720	429	18	for	for	ADP
ejpam-720	429	19	i	i	X
ejpam-720	429	20	=	=	SYM
ejpam-720	429	21	1,2	1,2	NUM
ejpam-720	429	22	,	,	PUNCT
ejpam-720	429	23	.	.	PUNCT
ejpam-720	429	24	.	.	PUNCT
ejpam-720	430	1	.	.	PUNCT
ejpam-720	431	1	,	,	PUNCT
ejpam-720	431	2	n	n	CCONJ
ejpam-720	431	3	,	,	PUNCT
ejpam-720	431	4	and	and	CCONJ
ejpam-720	431	5	j	j	PROPN
ejpam-720	431	6	=	=	SYM
ejpam-720	431	7	1,2	1,2	NUM
ejpam-720	431	8	,	,	PUNCT
ejpam-720	431	9	.	.	PUNCT
ejpam-720	431	10	.	.	PUNCT
ejpam-720	432	1	.	.	PUNCT
ejpam-720	433	1	,	,	PUNCT
ejpam-720	433	2	k	k	X
ejpam-720	433	3	be	be	AUX
ejpam-720	433	4	independent	independent	ADJ
ejpam-720	433	5	univariate	univariate	ADJ
ejpam-720	433	6	generalized	generalized	ADJ
ejpam-720	433	7	skew	skew	ADJ
ejpam-720	433	8	normal	normal	ADJ
ejpam-720	433	9	random	random	ADJ
ejpam-720	433	10	variables	variable	NOUN
ejpam-720	433	11	.	.	PUNCT
ejpam-720	434	1	the	the	DET
ejpam-720	434	2	matrix	matrix	NOUN
ejpam-720	434	3	variate	variate	NOUN
ejpam-720	434	4	random	random	ADJ
ejpam-720	434	5	variable	variable	NOUN
ejpam-720	434	6	z	z	NOUN
ejpam-720	434	7	=	=	SYM
ejpam-720	434	8	(	(	PUNCT
ejpam-720	434	9	zi	zi	PROPN
ejpam-720	434	10	j	j	PROPN
ejpam-720	434	11	)	)	PUNCT
ejpam-720	434	12	has	have	VERB
ejpam-720	434	13	density	density	NOUN
ejpam-720	434	14	2nkφk×n(z	2nkφk×n(z	NUM
ejpam-720	434	15	)	)	PUNCT
ejpam-720	434	16	n	n	CCONJ
ejpam-720	434	17	∏	∏	PROPN
ejpam-720	434	18	i=1	i=1	PROPN
ejpam-720	434	19	k	k	PROPN
ejpam-720	434	20	∏	∏	X
ejpam-720	434	21	j=1	j=1	NOUN
ejpam-720	434	22	h(α	h(α	ADJ
ejpam-720	434	23	jie	jie	PROPN
ejpam-720	435	1	′	′	NUM
ejpam-720	436	1	j	j	PROPN
ejpam-720	436	2	zc	zc	INTJ
ejpam-720	436	3	i	i	PROPN
ejpam-720	436	4	)	)	PUNCT
ejpam-720	436	5	where	where	SCONJ
ejpam-720	436	6	φk×n(z	φk×n(z	NOUN
ejpam-720	436	7	)	)	PUNCT
ejpam-720	436	8	=	=	PUNCT
ejpam-720	436	9	∏n	∏n	ADJ
ejpam-720	436	10	i=1	i=1	X
ejpam-720	437	1	∏k	∏k	X
ejpam-720	437	2	j=1φ(zi	j=1φ(zi	PROPN
ejpam-720	437	3	j	j	PROPN
ejpam-720	437	4	)	)	PUNCT
ejpam-720	437	5	,	,	PUNCT
ejpam-720	437	6	and	and	CCONJ
ejpam-720	437	7	e′j	e′j	ADJ
ejpam-720	437	8	and	and	CCONJ
ejpam-720	437	9	c′i	c′i	NOUN
ejpam-720	437	10	are	be	AUX
ejpam-720	437	11	the	the	DET
ejpam-720	437	12	elementary	elementary	ADJ
ejpam-720	437	13	vectors	vector	NOUN
ejpam-720	437	14	of	of	ADP
ejpam-720	437	15	the	the	DET
ejpam-720	437	16	coordinate	coordinate	NOUN
ejpam-720	437	17	system	system	NOUN
ejpam-720	437	18	rk	rk	NOUN
ejpam-720	437	19	and	and	CCONJ
ejpam-720	437	20	rn	rn	PROPN
ejpam-720	437	21	respectively	respectively	ADV
ejpam-720	437	22	.	.	PUNCT
ejpam-720	438	1	let	let	VERB
ejpam-720	438	2	a	a	PRON
ejpam-720	438	3	be	be	AUX
ejpam-720	438	4	a	a	DET
ejpam-720	438	5	k	k	PROPN
ejpam-720	438	6	×	×	NOUN
ejpam-720	438	7	k	k	PROPN
ejpam-720	438	8	constant	constant	ADJ
ejpam-720	438	9	matrix	matrix	NOUN
ejpam-720	438	10	,	,	PUNCT
ejpam-720	438	11	b	b	X
ejpam-720	438	12	be	be	AUX
ejpam-720	438	13	a	a	DET
ejpam-720	438	14	n×	n×	ADV
ejpam-720	438	15	n	n	CCONJ
ejpam-720	438	16	constant	constant	ADJ
ejpam-720	438	17	matrix	matrix	NOUN
ejpam-720	438	18	and	and	CCONJ
ejpam-720	438	19	m	m	AUX
ejpam-720	438	20	be	be	AUX
ejpam-720	438	21	a	a	DET
ejpam-720	438	22	k	k	PROPN
ejpam-720	438	23	×	×	PROPN
ejpam-720	438	24	n	n	CCONJ
ejpam-720	438	25	-	-	PUNCT
ejpam-720	438	26	dimensional	dimensional	ADJ
ejpam-720	438	27	constant	constant	ADJ
ejpam-720	438	28	matrix	matrix	NOUN
ejpam-720	438	29	.	.	PUNCT
ejpam-720	439	1	then	then	ADV
ejpam-720	439	2	the	the	DET
ejpam-720	439	3	random	random	ADJ
ejpam-720	439	4	matrix	matrix	NOUN
ejpam-720	439	5	x	x	PUNCT
ejpam-720	439	6	=	=	SYM
ejpam-720	439	7	azb	azb	PROPN
ejpam-720	439	8	+	+	CCONJ
ejpam-720	439	9	m	m	VERB
ejpam-720	439	10	is	be	AUX
ejpam-720	439	11	distributed	distribute	VERB
ejpam-720	439	12	with	with	ADP
ejpam-720	439	13	respect	respect	NOUN
ejpam-720	439	14	to	to	ADP
ejpam-720	439	15	generalized	generalized	ADJ
ejpam-720	439	16	matrix	matrix	NOUN
ejpam-720	439	17	variate	variate	NOUN
ejpam-720	439	18	skew	skew	NOUN
ejpam-720	439	19	symmetric	symmetric	ADJ
ejpam-720	439	20	distribution	distribution	NOUN
ejpam-720	439	21	with	with	ADP
ejpam-720	439	22	location	location	PROPN
ejpam-720	439	23	d.	d.	PROPN
ejpam-720	439	24	akdemir	akdemir	PROPN
ejpam-720	439	25	,	,	PUNCT
ejpam-720	439	26	a.k	a.k	PROPN
ejpam-720	439	27	.	.	PROPN
ejpam-720	439	28	gupta	gupta	PROPN
ejpam-720	439	29	/	/	SYM
ejpam-720	439	30	eur	eur	PROPN
ejpam-720	439	31	.	.	PUNCT
ejpam-720	440	1	j.	j.	PROPN
ejpam-720	440	2	pure	pure	PROPN
ejpam-720	440	3	appl	appl	PROPN
ejpam-720	440	4	.	.	PROPN
ejpam-720	440	5	math	math	PROPN
ejpam-720	440	6	,	,	PUNCT
ejpam-720	440	7	3	3	NUM
ejpam-720	440	8	(	(	PUNCT
ejpam-720	440	9	2010	2010	NUM
ejpam-720	440	10	)	)	PUNCT
ejpam-720	440	11	,	,	PUNCT
ejpam-720	440	12	128	128	NUM
ejpam-720	440	13	-	-	SYM
ejpam-720	440	14	140	140	NUM
ejpam-720	440	15	139	139	NUM
ejpam-720	440	16	parameter	parameter	NOUN
ejpam-720	440	17	m	m	PROPN
ejpam-720	440	18	,	,	PUNCT
ejpam-720	440	19	scale	scale	NOUN
ejpam-720	440	20	parameters	parameter	NOUN
ejpam-720	440	21	(	(	PUNCT
ejpam-720	440	22	a	a	DET
ejpam-720	440	23	,	,	PUNCT
ejpam-720	440	24	b	b	NOUN
ejpam-720	440	25	)	)	PUNCT
ejpam-720	440	26	,	,	PUNCT
ejpam-720	440	27	and	and	CCONJ
ejpam-720	440	28	shape	shape	NOUN
ejpam-720	440	29	parameter	parameter	NOUN
ejpam-720	440	30	∆	∆	PROPN
ejpam-720	441	1	=	=	PRON
ejpam-720	441	2	(	(	PUNCT
ejpam-720	441	3	α	α	X
ejpam-720	441	4	ji	ji	PROPN
ejpam-720	441	5	)	)	PUNCT
ejpam-720	441	6	.	.	PUNCT
ejpam-720	442	1	we	we	PRON
ejpam-720	442	2	denote	denote	VERB
ejpam-720	442	3	this	this	PRON
ejpam-720	442	4	by	by	ADP
ejpam-720	442	5	x	x	PUNCT
ejpam-720	442	6	∼	∼	NOUN
ejpam-720	442	7	gmsn	gmsn	NOUN
ejpam-720	442	8	h	h	NOUN
ejpam-720	442	9	k×n	k×n	PROPN
ejpam-720	442	10	(	(	PUNCT
ejpam-720	442	11	m	m	PROPN
ejpam-720	442	12	,	,	PUNCT
ejpam-720	442	13	a	a	PRON
ejpam-720	442	14	,	,	PUNCT
ejpam-720	442	15	b,∆	b,∆	NOUN
ejpam-720	442	16	)	)	PUNCT
ejpam-720	442	17	.	.	PUNCT
ejpam-720	443	1	if	if	SCONJ
ejpam-720	443	2	the	the	DET
ejpam-720	443	3	density	density	NOUN
ejpam-720	443	4	exists	exist	VERB
ejpam-720	443	5	it	it	PRON
ejpam-720	443	6	is	be	AUX
ejpam-720	443	7	given	give	VERB
ejpam-720	443	8	in	in	ADP
ejpam-720	443	9	equation	equation	NOUN
ejpam-720	443	10	(	(	PUNCT
ejpam-720	443	11	13	13	NUM
ejpam-720	443	12	)	)	PUNCT
ejpam-720	443	13	.	.	PUNCT
ejpam-720	444	1	we	we	PRON
ejpam-720	444	2	denote	denote	VERB
ejpam-720	444	3	this	this	DET
ejpam-720	444	4	case	case	NOUN
ejpam-720	444	5	by	by	ADP
ejpam-720	444	6	writing	write	VERB
ejpam-720	444	7	x	x	PUNCT
ejpam-720	444	8	∼	∼	NOUN
ejpam-720	444	9	gsnh	gsnh	PROPN
ejpam-720	444	10	k×n	k×n	PROPN
ejpam-720	444	11	(	(	PUNCT
ejpam-720	444	12	m	m	PROPN
ejpam-720	444	13	,	,	PUNCT
ejpam-720	444	14	a	a	PRON
ejpam-720	444	15	,	,	PUNCT
ejpam-720	444	16	b,∆	b,∆	NOUN
ejpam-720	444	17	)	)	PUNCT
ejpam-720	444	18	.	.	PUNCT
ejpam-720	445	1	theorem	theorem	VERB
ejpam-720	445	2	7	7	NUM
ejpam-720	445	3	.	.	PUNCT
ejpam-720	446	1	if	if	SCONJ
ejpam-720	446	2	x	x	PRON
ejpam-720	446	3	has	have	VERB
ejpam-720	446	4	generalized	generalize	VERB
ejpam-720	446	5	matrix	matrix	NOUN
ejpam-720	446	6	variate	variate	NOUN
ejpam-720	446	7	skew	skew	ADJ
ejpam-720	446	8	-	-	PUNCT
ejpam-720	446	9	normal	normal	ADJ
ejpam-720	446	10	distribution	distribution	NOUN
ejpam-720	446	11	,	,	PUNCT
ejpam-720	446	12	gmsn	gmsn	PROPN
ejpam-720	446	13	h	h	NOUN
ejpam-720	446	14	k×n	k×n	PROPN
ejpam-720	446	15	(	(	PUNCT
ejpam-720	446	16	m	m	PROPN
ejpam-720	446	17	,	,	PUNCT
ejpam-720	446	18	a	a	PRON
ejpam-720	446	19	,	,	PUNCT
ejpam-720	446	20	b,∆	b,∆	NUM
ejpam-720	446	21	)	)	PUNCT
ejpam-720	446	22	,	,	PUNCT
ejpam-720	446	23	then	then	ADV
ejpam-720	446	24	the	the	DET
ejpam-720	446	25	moment	moment	NOUN
ejpam-720	446	26	generating	generate	VERB
ejpam-720	446	27	function	function	NOUN
ejpam-720	446	28	of	of	ADP
ejpam-720	446	29	x	x	PUNCT
ejpam-720	446	30	evaluated	evaluate	VERB
ejpam-720	446	31	at	at	ADP
ejpam-720	446	32	tk×n	tk×n	PROPN
ejpam-720	446	33	is	be	AUX
ejpam-720	446	34	given	give	VERB
ejpam-720	446	35	by	by	ADP
ejpam-720	446	36	mx	mx	PROPN
ejpam-720	446	37	(	(	PUNCT
ejpam-720	446	38	tk×n	tk×n	NOUN
ejpam-720	446	39	)	)	PUNCT
ejpam-720	446	40	=	=	PUNCT
ejpam-720	447	1	2nketr(t	2nketr(t	NUM
ejpam-720	448	1	′k×nm	′k×nm	NOUN
ejpam-720	448	2	+	+	CCONJ
ejpam-720	448	3	1	1	NUM
ejpam-720	448	4	2	2	NUM
ejpam-720	448	5	(	(	PUNCT
ejpam-720	448	6	a′tk×nb′)′a′tk×nb′	a′tk×nb′)′a′tk×nb′	PROPN
ejpam-720	448	7	)	)	PUNCT
ejpam-720	448	8	×	×	PROPN
ejpam-720	448	9	n	n	CCONJ
ejpam-720	448	10	∏	∏	PROPN
ejpam-720	448	11	i=1	i=1	PROPN
ejpam-720	448	12	k	k	PROPN
ejpam-720	448	13	∏	∏	PROPN
ejpam-720	448	14	j=1	j=1	ADJ
ejpam-720	448	15	h	h	NOUN
ejpam-720	448	16	(	(	PUNCT
ejpam-720	448	17	α	α	NOUN
ejpam-720	448	18	ji(a	ji(a	NOUN
ejpam-720	449	1	′tk×nb′)i	′tk×nb′)i	PROPN
ejpam-720	449	2	j	j	PROPN
ejpam-720	449	3	p	p	X
ejpam-720	449	4	(	(	PUNCT
ejpam-720	449	5	1+α	1+α	NUM
ejpam-720	449	6	ji	ji	NOUN
ejpam-720	449	7	2	2	NUM
ejpam-720	449	8	)	)	PUNCT
ejpam-720	449	9	)	)	PUNCT
ejpam-720	449	10	.	.	PUNCT
ejpam-720	450	1	(	(	PUNCT
ejpam-720	450	2	14	14	NUM
ejpam-720	450	3	)	)	PUNCT
ejpam-720	450	4	by	by	ADP
ejpam-720	450	5	definition	definition	NOUN
ejpam-720	450	6	6	6	NUM
ejpam-720	450	7	we	we	PRON
ejpam-720	450	8	can	can	AUX
ejpam-720	450	9	write	write	VERB
ejpam-720	450	10	z	z	NOUN
ejpam-720	450	11	∼	∼	NOUN
ejpam-720	450	12	gmsn	gmsn	PROPN
ejpam-720	450	13	h	h	NOUN
ejpam-720	450	14	k×n	k×n	PROPN
ejpam-720	450	15	(	(	PUNCT
ejpam-720	450	16	0	0	NUM
ejpam-720	450	17	,	,	PUNCT
ejpam-720	450	18	ik	ik	X
ejpam-720	450	19	,	,	PUNCT
ejpam-720	450	20	in,∆	in,∆	NOUN
ejpam-720	450	21	)	)	PUNCT
ejpam-720	450	22	,	,	PUNCT
ejpam-720	450	23	and	and	CCONJ
ejpam-720	450	24	prove	prove	VERB
ejpam-720	450	25	the	the	DET
ejpam-720	450	26	following	follow	VERB
ejpam-720	450	27	theorems	theorem	NOUN
ejpam-720	450	28	.	.	PUNCT
ejpam-720	451	1	theorem	theorem	NOUN
ejpam-720	451	2	8	8	NUM
ejpam-720	451	3	.	.	PUNCT
ejpam-720	452	1	assume	assume	VERB
ejpam-720	452	2	that	that	SCONJ
ejpam-720	452	3	y	y	PROPN
ejpam-720	452	4	∼	∼	VERB
ejpam-720	452	5	gmsn	gmsn	PROPN
ejpam-720	452	6	h	h	NOUN
ejpam-720	452	7	k×n	k×n	PROPN
ejpam-720	452	8	(	(	PUNCT
ejpam-720	452	9	m	m	PROPN
ejpam-720	452	10	,	,	PUNCT
ejpam-720	452	11	a	a	PRON
ejpam-720	452	12	,	,	PUNCT
ejpam-720	452	13	b,∆	b,∆	NUM
ejpam-720	452	14	)	)	PUNCT
ejpam-720	452	15	and	and	CCONJ
ejpam-720	452	16	x	x	X
ejpam-720	452	17	=	=	PUNCT
ejpam-720	452	18	cy	cy	PROPN
ejpam-720	452	19	d	d	PROPN
ejpam-720	452	20	+	+	NOUN
ejpam-720	452	21	n	n	NUM
ejpam-720	453	1	where	where	SCONJ
ejpam-720	453	2	c	c	NOUN
ejpam-720	453	3	,	,	PUNCT
ejpam-720	453	4	d	d	NOUN
ejpam-720	453	5	and	and	CCONJ
ejpam-720	453	6	n	n	PRON
ejpam-720	453	7	are	be	AUX
ejpam-720	453	8	matrices	matrix	NOUN
ejpam-720	453	9	of	of	ADP
ejpam-720	453	10	order	order	NOUN
ejpam-720	453	11	k′	k′	PROPN
ejpam-720	453	12	×	×	PROPN
ejpam-720	453	13	k	k	PROPN
ejpam-720	453	14	,	,	PUNCT
ejpam-720	454	1	n	n	PROPN
ejpam-720	454	2	×	×	NOUN
ejpam-720	454	3	n′	n′	PROPN
ejpam-720	454	4	and	and	CCONJ
ejpam-720	454	5	k′	k′	PROPN
ejpam-720	454	6	×	×	PROPN
ejpam-720	454	7	n′	n′	PROPN
ejpam-720	454	8	respectively	respectively	ADV
ejpam-720	454	9	.	.	PUNCT
ejpam-720	455	1	then	then	ADV
ejpam-720	455	2	x	x	PUNCT
ejpam-720	455	3	∼	∼	NOUN
ejpam-720	455	4	gmsn	gmsn	NOUN
ejpam-720	455	5	h	h	NOUN
ejpam-720	455	6	k′×n′(c	k′×n′(c	PROPN
ejpam-720	455	7	m	m	VERB
ejpam-720	455	8	d	d	NOUN
ejpam-720	455	9	+	+	CCONJ
ejpam-720	455	10	n	n	CCONJ
ejpam-720	455	11	,	,	PUNCT
ejpam-720	455	12	ca	ca	NOUN
ejpam-720	455	13	,	,	PUNCT
ejpam-720	455	14	bd,∆	bd,∆	PROPN
ejpam-720	455	15	)	)	PUNCT
ejpam-720	455	16	.	.	PUNCT
ejpam-720	456	1	proof	proof	NOUN
ejpam-720	456	2	.	.	PUNCT
ejpam-720	457	1	from	from	ADP
ejpam-720	457	2	assumption	assumption	NOUN
ejpam-720	457	3	we	we	PRON
ejpam-720	457	4	have	have	VERB
ejpam-720	457	5	y	y	PROPN
ejpam-720	457	6	=	=	SYM
ejpam-720	457	7	azb	azb	PROPN
ejpam-720	457	8	+	+	CCONJ
ejpam-720	457	9	m	m	PROPN
ejpam-720	457	10	,	,	PUNCT
ejpam-720	457	11	and	and	CCONJ
ejpam-720	458	1	so	so	ADV
ejpam-720	458	2	x	x	X
ejpam-720	458	3	=	=	SYM
ejpam-720	458	4	cazbd	cazbd	NOUN
ejpam-720	458	5	+	+	CCONJ
ejpam-720	459	1	(	(	PUNCT
ejpam-720	459	2	c	c	NOUN
ejpam-720	459	3	m	m	PROPN
ejpam-720	459	4	d	d	NOUN
ejpam-720	459	5	+	+	CCONJ
ejpam-720	459	6	n	n	CCONJ
ejpam-720	459	7	)	)	PUNCT
ejpam-720	459	8	,	,	PUNCT
ejpam-720	459	9	i.e.	i.e.	X
ejpam-720	459	10	,	,	PUNCT
ejpam-720	459	11	x	x	X
ejpam-720	459	12	∼	∼	NOUN
ejpam-720	459	13	msnk′×n′(c	msnk′×n′(c	PROPN
ejpam-720	459	14	m	m	NOUN
ejpam-720	459	15	d+	d+	NOUN
ejpam-720	459	16	n	n	X
ejpam-720	459	17	,	,	PUNCT
ejpam-720	459	18	ca	ca	NOUN
ejpam-720	459	19	,	,	PUNCT
ejpam-720	459	20	bd,∆	bd,∆	PROPN
ejpam-720	459	21	)	)	PUNCT
ejpam-720	459	22	.	.	PUNCT
ejpam-720	460	1	theorem	theorem	VERB
ejpam-720	460	2	9	9	NUM
ejpam-720	460	3	.	.	PUNCT
ejpam-720	461	1	let	let	VERB
ejpam-720	461	2	x	x	X
ejpam-720	461	3	1	1	X
ejpam-720	461	4	,	,	PUNCT
ejpam-720	461	5	x	x	NOUN
ejpam-720	461	6	2	2	NUM
ejpam-720	461	7	,	,	PUNCT
ejpam-720	461	8	.	.	PUNCT
ejpam-720	461	9	.	.	PUNCT
ejpam-720	461	10	.	.	PUNCT
ejpam-720	462	1	x	x	PUNCT
ejpam-720	462	2	n	n	PRON
ejpam-720	462	3	be	be	VERB
ejpam-720	462	4	independent	independent	ADJ
ejpam-720	462	5	,	,	PUNCT
ejpam-720	462	6	where	where	SCONJ
ejpam-720	462	7	x	x	PUNCT
ejpam-720	462	8	i	i	PRON
ejpam-720	462	9	is	be	AUX
ejpam-720	462	10	distributed	distribute	VERB
ejpam-720	462	11	according	accord	VERB
ejpam-720	462	12	to	to	ADP
ejpam-720	462	13	gsnh	gsnh	PROPN
ejpam-720	462	14	k	k	PROPN
ejpam-720	462	15	(	(	PUNCT
ejpam-720	462	16	0,σ1/2,α	0,σ1/2,α	PROPN
ejpam-720	462	17	)	)	PUNCT
ejpam-720	462	18	.	.	PUNCT
ejpam-720	463	1	then	then	ADV
ejpam-720	463	2	,	,	PUNCT
ejpam-720	463	3	n	n	CCONJ
ejpam-720	463	4	∑	∑	ADV
ejpam-720	463	5	j=1	j=1	NOUN
ejpam-720	463	6	x	x	PUNCT
ejpam-720	463	7	′	′	NOUN
ejpam-720	463	8	jς−1x	jς−1x	ADP
ejpam-720	463	9	j	j	PROPN
ejpam-720	463	10	∼	∼	NOUN
ejpam-720	463	11	χ2	χ2	PROPN
ejpam-720	463	12	kn	kn	PROPN
ejpam-720	463	13	.	.	PUNCT
ejpam-720	464	1	proof	proof	NOUN
ejpam-720	464	2	.	.	PUNCT
ejpam-720	465	1	let	let	VERB
ejpam-720	465	2	y	y	PRON
ejpam-720	465	3	∼	∼	VERB
ejpam-720	465	4	nk(µ	nk(µ	ADV
ejpam-720	465	5	=	=	SYM
ejpam-720	465	6	0,σ	0,σ	PROPN
ejpam-720	465	7	)	)	PUNCT
ejpam-720	465	8	.	.	PUNCT
ejpam-720	466	1	then	then	ADV
ejpam-720	466	2	y′σ−1	y′σ−1	PROPN
ejpam-720	466	3	y	y	PROPN
ejpam-720	466	4	∼	∼	NOUN
ejpam-720	466	5	χ2	χ2	PROPN
ejpam-720	466	6	k	k	PROPN
ejpam-720	466	7	,	,	PUNCT
ejpam-720	466	8	and	and	CCONJ
ejpam-720	466	9	x	x	X
ejpam-720	466	10	′	′	NOUN
ejpam-720	467	1	jς−1x	jς−1x	ADP
ejpam-720	467	2	j	j	PROPN
ejpam-720	467	3	and	and	CCONJ
ejpam-720	467	4	y′σ−1y	y′σ−1y	NOUN
ejpam-720	467	5	have	have	VERB
ejpam-720	467	6	the	the	DET
ejpam-720	467	7	same	same	ADJ
ejpam-720	467	8	distribution	distribution	NOUN
ejpam-720	467	9	from	from	ADP
ejpam-720	467	10	theorem	theorem	ADJ
ejpam-720	467	11	2	2	NUM
ejpam-720	467	12	.	.	PUNCT
ejpam-720	468	1	moreover	moreover	ADV
ejpam-720	468	2	,	,	PUNCT
ejpam-720	468	3	x	x	PUNCT
ejpam-720	468	4	′	′	NUM
ejpam-720	468	5	jς−1x	jς−1x	PROPN
ejpam-720	468	6	j	j	PROPN
ejpam-720	468	7	are	be	AUX
ejpam-720	468	8	independent	independent	ADJ
ejpam-720	468	9	.	.	PUNCT
ejpam-720	469	1	then	then	ADV
ejpam-720	469	2	the	the	DET
ejpam-720	469	3	desired	desire	VERB
ejpam-720	469	4	property	property	NOUN
ejpam-720	469	5	is	be	AUX
ejpam-720	469	6	proved	prove	VERB
ejpam-720	469	7	by	by	ADP
ejpam-720	469	8	the	the	DET
ejpam-720	469	9	addition	addition	NOUN
ejpam-720	469	10	property	property	NOUN
ejpam-720	469	11	of	of	ADP
ejpam-720	469	12	χ2	χ2	ADJ
ejpam-720	469	13	distribution	distribution	NOUN
ejpam-720	469	14	.	.	PUNCT
ejpam-720	470	1	4	4	X
ejpam-720	470	2	.	.	X
ejpam-720	470	3	extensions	extension	NOUN
ejpam-720	470	4	an	an	DET
ejpam-720	470	5	odd	odd	ADJ
ejpam-720	470	6	function	function	NOUN
ejpam-720	470	7	,	,	PUNCT
ejpam-720	470	8	say	say	VERB
ejpam-720	470	9	w(x	w(x	PROPN
ejpam-720	470	10	)	)	PUNCT
ejpam-720	470	11	,	,	PUNCT
ejpam-720	470	12	can	can	AUX
ejpam-720	470	13	be	be	AUX
ejpam-720	470	14	used	use	VERB
ejpam-720	470	15	to	to	PART
ejpam-720	470	16	replace	replace	VERB
ejpam-720	470	17	the	the	DET
ejpam-720	470	18	term	term	NOUN
ejpam-720	470	19	in	in	ADP
ejpam-720	470	20	the	the	DET
ejpam-720	470	21	form	form	NOUN
ejpam-720	471	1	α	α	X
ejpam-720	471	2	ji	ji	X
ejpam-720	471	3	x	x	X
ejpam-720	471	4	in	in	ADP
ejpam-720	471	5	the	the	DET
ejpam-720	471	6	skewing	skew	VERB
ejpam-720	471	7	function	function	NOUN
ejpam-720	471	8	to	to	PART
ejpam-720	471	9	give	give	VERB
ejpam-720	471	10	more	more	ADJ
ejpam-720	471	11	flexible	flexible	ADJ
ejpam-720	471	12	families	family	NOUN
ejpam-720	471	13	of	of	ADP
ejpam-720	471	14	densities	density	NOUN
ejpam-720	471	15	.	.	PUNCT
ejpam-720	472	1	we	we	PRON
ejpam-720	472	2	can	can	AUX
ejpam-720	472	3	take	take	VERB
ejpam-720	472	4	w(x	w(x	PROPN
ejpam-720	472	5	ji	ji	NOUN
ejpam-720	472	6	)	)	PUNCT
ejpam-720	473	1	=	=	SYM
ejpam-720	473	2	λ1	λ1	PROPN
ejpam-720	473	3	xp	xp	PROPN
ejpam-720	473	4	1+λ2	1+λ2	NUM
ejpam-720	473	5	x2	x2	PROPN
ejpam-720	473	6	,	,	PUNCT
ejpam-720	473	7	to	to	PART
ejpam-720	473	8	obtain	obtain	VERB
ejpam-720	473	9	a	a	DET
ejpam-720	473	10	matrix	matrix	NOUN
ejpam-720	473	11	variate	variate	NOUN
ejpam-720	473	12	form	form	NOUN
ejpam-720	473	13	of	of	ADP
ejpam-720	473	14	the	the	DET
ejpam-720	473	15	skew	skew	ADJ
ejpam-720	473	16	symmetric	symmetric	ADJ
ejpam-720	473	17	family	family	NOUN
ejpam-720	473	18	introduced	introduce	VERB
ejpam-720	473	19	by	by	ADP
ejpam-720	473	20	arellanno	arellanno	NOUN
ejpam-720	473	21	-	-	PUNCT
ejpam-720	473	22	valle	valle	NOUN
ejpam-720	473	23	at	at	ADP
ejpam-720	473	24	al	al	PROPN
ejpam-720	473	25	.	.	PUNCT
ejpam-720	474	1	[	[	X
ejpam-720	474	2	1	1	NUM
ejpam-720	474	3	]	]	X
ejpam-720	474	4	;	;	PUNCT
ejpam-720	474	5	if	if	SCONJ
ejpam-720	474	6	we	we	PRON
ejpam-720	474	7	take	take	VERB
ejpam-720	474	8	w(x	w(x	NOUN
ejpam-720	474	9	)	)	PUNCT
ejpam-720	475	1	=	=	PUNCT
ejpam-720	475	2	αx	αx	NOUN
ejpam-720	476	1	+	+	CCONJ
ejpam-720	476	2	β	β	X
ejpam-720	476	3	x3	x3	NOUN
ejpam-720	476	4	,	,	PUNCT
ejpam-720	476	5	we	we	PRON
ejpam-720	476	6	obtain	obtain	VERB
ejpam-720	476	7	a	a	DET
ejpam-720	476	8	matrix	matrix	NOUN
ejpam-720	476	9	variate	variate	NOUN
ejpam-720	476	10	form	form	NOUN
ejpam-720	476	11	of	of	ADP
ejpam-720	476	12	the	the	DET
ejpam-720	476	13	skew	skew	ADJ
ejpam-720	476	14	symmetric	symmetric	ADJ
ejpam-720	476	15	family	family	NOUN
ejpam-720	476	16	introduced	introduce	VERB
ejpam-720	476	17	by	by	ADP
ejpam-720	476	18	ma	ma	PROPN
ejpam-720	476	19	and	and	CCONJ
ejpam-720	476	20	genton	genton	NOUN
ejpam-720	477	1	[	[	X
ejpam-720	477	2	8	8	NUM
ejpam-720	477	3	]	]	PUNCT
ejpam-720	477	4	;	;	PUNCT
ejpam-720	477	5	or	or	CCONJ
ejpam-720	477	6	take	take	VERB
ejpam-720	477	7	w(x	w(x	NOUN
ejpam-720	477	8	)	)	PUNCT
ejpam-720	477	9	=	=	SYM
ejpam-720	477	10	si	si	NOUN
ejpam-720	477	11	gn(x)|x	gn(x)|x	NOUN
ejpam-720	477	12	|α/2λ(2	|α/2λ(2	PROPN
ejpam-720	477	13	/	/	SYM
ejpam-720	477	14	α)1/2	α)1/2	NOUN
ejpam-720	477	15	to	to	PART
ejpam-720	477	16	obtain	obtain	VERB
ejpam-720	477	17	a	a	DET
ejpam-720	477	18	matrix	matrix	NOUN
ejpam-720	477	19	variate	variate	NOUN
ejpam-720	477	20	form	form	NOUN
ejpam-720	477	21	of	of	ADP
ejpam-720	477	22	the	the	DET
ejpam-720	477	23	skew	skew	ADJ
ejpam-720	477	24	symmetric	symmetric	ADJ
ejpam-720	477	25	family	family	NOUN
ejpam-720	477	26	introduced	introduce	VERB
ejpam-720	477	27	by	by	ADP
ejpam-720	477	28	diciccio	diciccio	PROPN
ejpam-720	477	29	and	and	CCONJ
ejpam-720	477	30	monti	monti	NOUN
ejpam-720	477	31	[	[	X
ejpam-720	477	32	5	5	NUM
ejpam-720	477	33	]	]	PUNCT
ejpam-720	477	34	.	.	PUNCT
ejpam-720	478	1	the	the	DET
ejpam-720	478	2	skewing	skew	VERB
ejpam-720	478	3	function	function	NOUN
ejpam-720	478	4	of	of	ADP
ejpam-720	478	5	the	the	DET
ejpam-720	478	6	matrix	matrix	NOUN
ejpam-720	478	7	variate	variate	NOUN
ejpam-720	478	8	skew	skew	ADJ
ejpam-720	478	9	normal	normal	ADJ
ejpam-720	478	10	density	density	NOUN
ejpam-720	478	11	in	in	ADP
ejpam-720	478	12	equation	equation	NOUN
ejpam-720	478	13	(	(	PUNCT
ejpam-720	478	14	11	11	NUM
ejpam-720	478	15	)	)	PUNCT
ejpam-720	478	16	,	,	PUNCT
ejpam-720	478	17	i.e.	i.e.	X
ejpam-720	478	18	k	k	X
ejpam-720	478	19	∏	∏	PROPN
ejpam-720	478	20	j=1	j=1	NOUN
ejpam-720	478	21	n	n	CCONJ
ejpam-720	478	22	∏	∏	PROPN
ejpam-720	478	23	i=1	i=1	PROPN
ejpam-720	478	24	φ(α	φ(α	PROPN
ejpam-720	478	25	jie	jie	PROPN
ejpam-720	478	26	′	′	NUM
ejpam-720	479	1	j(a	j(a	PROPN
ejpam-720	479	2	−1(x	−1(x	PROPN
ejpam-720	479	3	−m)b−1)c	−m)b−1)c	PROPN
ejpam-720	479	4	i	i	PROPN
ejpam-720	479	5	)	)	PUNCT
ejpam-720	479	6	,	,	PUNCT
ejpam-720	479	7	(	(	PUNCT
ejpam-720	479	8	15	15	X
ejpam-720	479	9	)	)	PUNCT
ejpam-720	479	10	references	reference	NOUN
ejpam-720	479	11	140	140	NUM
ejpam-720	479	12	can	can	AUX
ejpam-720	479	13	be	be	AUX
ejpam-720	479	14	replaced	replace	VERB
ejpam-720	479	15	by	by	ADP
ejpam-720	479	16	φk∗×n∗(γa−1(x	φk∗×n∗(γa−1(x	PUNCT
ejpam-720	479	17	−m)b−1λ;0	−m)b−1λ;0	NOUN
ejpam-720	479	18	,	,	PUNCT
ejpam-720	479	19	c	c	NOUN
ejpam-720	479	20	,	,	PUNCT
ejpam-720	479	21	d	d	PROPN
ejpam-720	479	22	)	)	PUNCT
ejpam-720	479	23	(	(	PUNCT
ejpam-720	479	24	16	16	NUM
ejpam-720	479	25	)	)	PUNCT
ejpam-720	479	26	where	where	SCONJ
ejpam-720	479	27	γ	γ	X
ejpam-720	479	28	,	,	PUNCT
ejpam-720	479	29	λ	λ	PROPN
ejpam-720	479	30	,	,	PUNCT
ejpam-720	479	31	c	c	PROPN
ejpam-720	479	32	(	(	PUNCT
ejpam-720	479	33	positive	positive	ADJ
ejpam-720	479	34	definite	definite	ADJ
ejpam-720	479	35	)	)	PUNCT
ejpam-720	479	36	and	and	CCONJ
ejpam-720	479	37	d	d	X
ejpam-720	479	38	(	(	PUNCT
ejpam-720	479	39	positive	positive	ADJ
ejpam-720	479	40	definite	definite	ADJ
ejpam-720	479	41	)	)	PUNCT
ejpam-720	479	42	are	be	AUX
ejpam-720	479	43	matrices	matrix	NOUN
ejpam-720	479	44	of	of	ADP
ejpam-720	479	45	dimensions	dimension	NOUN
ejpam-720	479	46	k∗	k∗	VERB
ejpam-720	479	47	×	×	PROPN
ejpam-720	479	48	k	k	PROPN
ejpam-720	479	49	,	,	PUNCT
ejpam-720	479	50	n	n	PRON
ejpam-720	479	51	×	×	PROPN
ejpam-720	479	52	n∗	n∗	PROPN
ejpam-720	479	53	,	,	PUNCT
ejpam-720	479	54	k∗	k∗	VERB
ejpam-720	479	55	×	×	PROPN
ejpam-720	479	56	k∗	k∗	NOUN
ejpam-720	479	57	and	and	CCONJ
ejpam-720	479	58	n∗	n∗	PROPN
ejpam-720	479	59	×	×	PROPN
ejpam-720	479	60	n∗	n∗	NOUN
ejpam-720	479	61	correspondingly	correspondingly	ADV
ejpam-720	479	62	.	.	PUNCT
ejpam-720	480	1	in	in	ADP
ejpam-720	480	2	this	this	DET
ejpam-720	480	3	case	case	NOUN
ejpam-720	480	4	,	,	PUNCT
ejpam-720	480	5	the	the	DET
ejpam-720	480	6	normalizing	normalizing	ADJ
ejpam-720	480	7	constant	constant	ADJ
ejpam-720	480	8	2kn	2kn	ADV
ejpam-720	480	9	in	in	ADP
ejpam-720	480	10	(	(	PUNCT
ejpam-720	480	11	11	11	NUM
ejpam-720	480	12	)	)	PUNCT
ejpam-720	480	13	will	will	AUX
ejpam-720	480	14	have	have	VERB
ejpam-720	480	15	to	to	PART
ejpam-720	480	16	be	be	AUX
ejpam-720	480	17	changed	change	VERB
ejpam-720	480	18	to	to	ADP
ejpam-720	480	19	ez	ez	PROPN
ejpam-720	480	20	(	(	PUNCT
ejpam-720	480	21	p(y	p(y	PROPN
ejpam-720	480	22	<	<	X
ejpam-720	480	23	γa−1(z−m)b−1λ|z	γa−1(z−m)b−1λ|z	NOUN
ejpam-720	480	24	)	)	PUNCT
ejpam-720	480	25	)	)	PUNCT
ejpam-720	480	26	for	for	ADP
ejpam-720	480	27	y	y	PROPN
ejpam-720	480	28	∼	∼	NOUN
ejpam-720	480	29	φk∗×n∗(0	φk∗×n∗(0	NOUN
ejpam-720	480	30	,	,	PUNCT
ejpam-720	480	31	c	c	NOUN
ejpam-720	480	32	,	,	PUNCT
ejpam-720	480	33	d	d	NOUN
ejpam-720	480	34	)	)	PUNCT
ejpam-720	480	35	and	and	CCONJ
ejpam-720	480	36	z	z	NOUN
ejpam-720	480	37	∼	∼	NOUN
ejpam-720	480	38	φk×n(m	φk×n(m	NOUN
ejpam-720	480	39	,	,	PUNCT
ejpam-720	480	40	aa′	aa′	INTJ
ejpam-720	480	41	,	,	PUNCT
ejpam-720	480	42	b′b	b′b	ADV
ejpam-720	480	43	)	)	PUNCT
ejpam-720	480	44	.	.	PUNCT
ejpam-720	481	1	if	if	SCONJ
ejpam-720	481	2	all	all	PRON
ejpam-720	481	3	of	of	ADP
ejpam-720	481	4	γ	γ	PROPN
ejpam-720	481	5	,	,	PUNCT
ejpam-720	481	6	λ	λ	PROPN
ejpam-720	481	7	,	,	PUNCT
ejpam-720	481	8	c	c	PROPN
ejpam-720	481	9	and	and	CCONJ
ejpam-720	481	10	d	d	NOUN
ejpam-720	481	11	are	be	AUX
ejpam-720	481	12	positive	positive	ADJ
ejpam-720	481	13	definite	definite	ADJ
ejpam-720	481	14	diagonal	diagonal	ADJ
ejpam-720	481	15	matrices	matrix	NOUN
ejpam-720	481	16	then	then	ADV
ejpam-720	481	17	(	(	PUNCT
ejpam-720	481	18	16	16	NUM
ejpam-720	481	19	)	)	PUNCT
ejpam-720	481	20	can	can	AUX
ejpam-720	481	21	be	be	AUX
ejpam-720	481	22	written	write	VERB
ejpam-720	481	23	in	in	ADP
ejpam-720	481	24	the	the	DET
ejpam-720	481	25	same	same	ADJ
ejpam-720	481	26	form	form	NOUN
ejpam-720	481	27	as	as	ADP
ejpam-720	481	28	(	(	PUNCT
ejpam-720	481	29	15	15	NUM
ejpam-720	481	30	)	)	PUNCT
ejpam-720	481	31	,	,	PUNCT
ejpam-720	481	32	therefore	therefore	ADV
ejpam-720	481	33	the	the	DET
ejpam-720	481	34	latter	latter	ADJ
ejpam-720	481	35	density	density	NOUN
ejpam-720	481	36	is	be	AUX
ejpam-720	481	37	more	more	ADV
ejpam-720	481	38	general	general	ADJ
ejpam-720	481	39	.	.	PUNCT
ejpam-720	482	1	armando	armando	PROPN
ejpam-720	483	1	[	[	X
ejpam-720	483	2	2	2	NUM
ejpam-720	483	3	]	]	PUNCT
ejpam-720	483	4	introduced	introduce	VERB
ejpam-720	483	5	the	the	DET
ejpam-720	483	6	matrix	matrix	NOUN
ejpam-720	483	7	variate	variate	NOUN
ejpam-720	483	8	closed	close	VERB
ejpam-720	483	9	skew	skew	ADJ
ejpam-720	483	10	-	-	ADJ
ejpam-720	483	11	normal	normal	ADJ
ejpam-720	483	12	distribution	distribution	NOUN
ejpam-720	483	13	based	base	VERB
ejpam-720	483	14	on	on	ADP
ejpam-720	483	15	marginal	marginal	ADJ
ejpam-720	483	16	representation	representation	NOUN
ejpam-720	483	17	or	or	CCONJ
ejpam-720	483	18	hidden	hide	VERB
ejpam-720	483	19	truncation	truncation	NOUN
ejpam-720	483	20	.	.	PUNCT
ejpam-720	484	1	the	the	DET
ejpam-720	484	2	density	density	NOUN
ejpam-720	484	3	of	of	ADP
ejpam-720	484	4	the	the	DET
ejpam-720	484	5	matrix	matrix	NOUN
ejpam-720	484	6	variate	variate	NOUN
ejpam-720	484	7	closed	close	VERB
ejpam-720	484	8	skew	skew	ADJ
ejpam-720	484	9	-	-	ADJ
ejpam-720	484	10	normal	normal	ADJ
ejpam-720	484	11	distribution	distribution	NOUN
ejpam-720	484	12	has	have	VERB
ejpam-720	484	13	the	the	DET
ejpam-720	484	14	expression	expression	NOUN
ejpam-720	484	15	(	(	PUNCT
ejpam-720	484	16	16	16	NUM
ejpam-720	484	17	)	)	PUNCT
ejpam-720	484	18	as	as	ADP
ejpam-720	484	19	for	for	ADP
ejpam-720	484	20	its	its	PRON
ejpam-720	484	21	skewing	skew	VERB
ejpam-720	484	22	function	function	NOUN
ejpam-720	484	23	.	.	PUNCT
ejpam-720	485	1	the	the	DET
ejpam-720	485	2	class	class	NOUN
ejpam-720	485	3	of	of	ADP
ejpam-720	485	4	distributions	distribution	NOUN
ejpam-720	485	5	defined	define	VERB
ejpam-720	485	6	by	by	ADP
ejpam-720	485	7	msnk×n(m	msnk×n(m	X
ejpam-720	485	8	,	,	PUNCT
ejpam-720	485	9	a	a	PRON
ejpam-720	485	10	,	,	PUNCT
ejpam-720	485	11	b,∆	b,∆	NUM
ejpam-720	485	12	)	)	PUNCT
ejpam-720	485	13	is	be	AUX
ejpam-720	485	14	a	a	DET
ejpam-720	485	15	subclass	subclass	NOUN
ejpam-720	485	16	of	of	ADP
ejpam-720	485	17	the	the	DET
ejpam-720	485	18	matrix	matrix	NOUN
ejpam-720	485	19	variate	variate	NOUN
ejpam-720	485	20	closed	close	VERB
ejpam-720	485	21	skew	skew	ADJ
ejpam-720	485	22	-	-	ADJ
ejpam-720	485	23	normal	normal	ADJ
ejpam-720	485	24	distribution	distribution	NOUN
ejpam-720	485	25	.	.	PUNCT
ejpam-720	486	1	the	the	DET
ejpam-720	486	2	extension	extension	NOUN
ejpam-720	486	3	gmsnh	gmsnh	PROPN
ejpam-720	486	4	k×n	k×n	PROPN
ejpam-720	486	5	(	(	PUNCT
ejpam-720	486	6	m	m	PROPN
ejpam-720	486	7	,	,	PUNCT
ejpam-720	486	8	a	a	PRON
ejpam-720	486	9	,	,	PUNCT
ejpam-720	486	10	b,∆	b,∆	NUM
ejpam-720	486	11	)	)	PUNCT
ejpam-720	486	12	is	be	AUX
ejpam-720	486	13	not	not	PART
ejpam-720	486	14	a	a	DET
ejpam-720	486	15	subclass	subclass	NOUN
ejpam-720	486	16	of	of	ADP
ejpam-720	486	17	the	the	DET
ejpam-720	486	18	matrix	matrix	NOUN
ejpam-720	486	19	variate	variate	NOUN
ejpam-720	486	20	closed	close	VERB
ejpam-720	486	21	skew	skew	ADJ
ejpam-720	486	22	-	-	ADJ
ejpam-720	486	23	normal	normal	ADJ
ejpam-720	486	24	distribution	distribution	NOUN
ejpam-720	486	25	.	.	PUNCT
ejpam-720	487	1	references	reference	NOUN
ejpam-720	487	2	[	[	X
ejpam-720	487	3	1	1	NUM
ejpam-720	487	4	]	]	X
ejpam-720	487	5	r.b	r.b	PROPN
ejpam-720	487	6	.	.	PROPN
ejpam-720	487	7	arellano	arellano	PROPN
ejpam-720	487	8	-	-	PUNCT
ejpam-720	487	9	valle	valle	PROPN
ejpam-720	487	10	,	,	PUNCT
ejpam-720	487	11	h.w	h.w	PROPN
ejpam-720	487	12	.	.	PROPN
ejpam-720	487	13	gomez	gomez	PROPN
ejpam-720	487	14	,	,	PUNCT
ejpam-720	487	15	and	and	CCONJ
ejpam-720	487	16	f.a	f.a	PROPN
ejpam-720	487	17	.	.	PROPN
ejpam-720	487	18	quintana	quintana	PROPN
ejpam-720	487	19	.	.	PUNCT
ejpam-720	488	1	a	a	DET
ejpam-720	488	2	new	new	ADJ
ejpam-720	488	3	class	class	NOUN
ejpam-720	488	4	of	of	ADP
ejpam-720	488	5	skew	skew	NOUN
ejpam-720	488	6	-	-	PUNCT
ejpam-720	488	7	normal	normal	ADJ
ejpam-720	488	8	distributions	distribution	NOUN
ejpam-720	488	9	.	.	PUNCT
ejpam-720	489	1	communications	communication	NOUN
ejpam-720	489	2	in	in	ADP
ejpam-720	489	3	statistics	statistic	NOUN
ejpam-720	489	4	-	-	PUNCT
ejpam-720	489	5	theory	theory	NOUN
ejpam-720	489	6	and	and	CCONJ
ejpam-720	489	7	methods	method	NOUN
ejpam-720	489	8	,	,	PUNCT
ejpam-720	489	9	33(7):1465–1480	33(7):1465–1480	NUM
ejpam-720	489	10	,	,	PUNCT
ejpam-720	489	11	2004	2004	NUM
ejpam-720	489	12	.	.	PUNCT
ejpam-720	490	1	[	[	X
ejpam-720	490	2	2	2	X
ejpam-720	490	3	]	]	PUNCT
ejpam-720	490	4	j.	j.	PROPN
ejpam-720	490	5	armando	armando	PROPN
ejpam-720	490	6	,	,	PUNCT
ejpam-720	490	7	g.f	g.f	PROPN
ejpam-720	490	8	.	.	PROPN
ejpam-720	490	9	domínguez	domínguez	PROPN
ejpam-720	490	10	-	-	PUNCT
ejpam-720	490	11	molina	molina	PROPN
ejpam-720	490	12	,	,	PUNCT
ejpam-720	490	13	r.	r.	PROPN
ejpam-720	490	14	ramos	ramos	PROPN
ejpam-720	490	15	-	-	PROPN
ejpam-720	490	16	quiroga	quiroga	PROPN
ejpam-720	490	17	,	,	PUNCT
ejpam-720	490	18	and	and	CCONJ
ejpam-720	490	19	a.k	a.k	PROPN
ejpam-720	490	20	.	.	PROPN
ejpam-720	490	21	gupta	gupta	PROPN
ejpam-720	490	22	.	.	PUNCT
ejpam-720	491	1	a	a	DET
ejpam-720	491	2	matrix	matrix	NOUN
ejpam-720	491	3	variate	variate	NOUN
ejpam-720	491	4	closed	close	VERB
ejpam-720	491	5	skew	skew	ADJ
ejpam-720	491	6	-	-	ADJ
ejpam-720	491	7	normal	normal	ADJ
ejpam-720	491	8	distribution	distribution	NOUN
ejpam-720	491	9	with	with	ADP
ejpam-720	491	10	applications	application	NOUN
ejpam-720	491	11	to	to	ADP
ejpam-720	491	12	stochastic	stochastic	ADJ
ejpam-720	491	13	frontier	frontier	NOUN
ejpam-720	491	14	analysis	analysis	NOUN
ejpam-720	491	15	.	.	PUNCT
ejpam-720	492	1	communications	communication	NOUN
ejpam-720	492	2	in	in	ADP
ejpam-720	492	3	statistics	statistic	NOUN
ejpam-720	492	4	theory	theory	NOUN
ejpam-720	492	5	and	and	CCONJ
ejpam-720	492	6	methods	method	NOUN
ejpam-720	492	7	,	,	PUNCT
ejpam-720	492	8	36(9):1691–1703	36(9):1691–1703	NUM
ejpam-720	492	9	,	,	PUNCT
ejpam-720	492	10	2007	2007	NUM
ejpam-720	492	11	.	.	PUNCT
ejpam-720	493	1	[	[	X
ejpam-720	493	2	3	3	X
ejpam-720	493	3	]	]	X
ejpam-720	493	4	l.	l.	PROPN
ejpam-720	493	5	bailey	bailey	PROPN
ejpam-720	493	6	,	,	PUNCT
ejpam-720	493	7	t.f	t.f	PROPN
ejpam-720	493	8	.	.	PROPN
ejpam-720	493	9	moore	moore	PROPN
ejpam-720	493	10	,	,	PUNCT
ejpam-720	493	11	and	and	CCONJ
ejpam-720	493	12	b.a	b.a	PROPN
ejpam-720	493	13	.	.	PROPN
ejpam-720	493	14	bailar	bailar	PROPN
ejpam-720	493	15	.	.	PUNCT
ejpam-720	494	1	an	an	DET
ejpam-720	494	2	interviewer	interviewer	ADJ
ejpam-720	494	3	variance	variance	NOUN
ejpam-720	494	4	study	study	NOUN
ejpam-720	494	5	for	for	ADP
ejpam-720	494	6	the	the	DET
ejpam-720	494	7	eight	eight	NUM
ejpam-720	494	8	impact	impact	NOUN
ejpam-720	494	9	cities	city	NOUN
ejpam-720	494	10	of	of	ADP
ejpam-720	494	11	the	the	DET
ejpam-720	494	12	national	national	PROPN
ejpam-720	494	13	crime	crime	PROPN
ejpam-720	494	14	survey	survey	PROPN
ejpam-720	494	15	cities	city	NOUN
ejpam-720	494	16	sample	sample	NOUN
ejpam-720	494	17	.	.	PUNCT
ejpam-720	495	1	journal	journal	NOUN
ejpam-720	495	2	of	of	ADP
ejpam-720	495	3	the	the	DET
ejpam-720	495	4	american	american	PROPN
ejpam-720	495	5	statistical	statistical	PROPN
ejpam-720	495	6	association	association	NOUN
ejpam-720	495	7	,	,	PUNCT
ejpam-720	495	8	73(1):16–23	73(1):16–23	NUM
ejpam-720	495	9	,	,	PUNCT
ejpam-720	495	10	1978	1978	NUM
ejpam-720	495	11	.	.	PUNCT
ejpam-720	496	1	[	[	X
ejpam-720	496	2	4	4	X
ejpam-720	496	3	]	]	X
ejpam-720	496	4	j.t	j.t	PROPN
ejpam-720	496	5	.	.	PROPN
ejpam-720	496	6	chen	chen	PROPN
ejpam-720	496	7	and	and	CCONJ
ejpam-720	496	8	a.k	a.k	PROPN
ejpam-720	496	9	.	.	PROPN
ejpam-720	496	10	gupta	gupta	PROPN
ejpam-720	496	11	.	.	PUNCT
ejpam-720	496	12	matrix	matrix	NOUN
ejpam-720	496	13	variate	variate	NOUN
ejpam-720	496	14	skew	skew	ADJ
ejpam-720	496	15	normal	normal	ADJ
ejpam-720	496	16	distributions	distribution	NOUN
ejpam-720	496	17	.	.	PUNCT
ejpam-720	497	1	statistics	statistic	NOUN
ejpam-720	497	2	,	,	PUNCT
ejpam-720	497	3	39(3):247	39(3):247	PROPN
ejpam-720	497	4	–	–	PUNCT
ejpam-720	497	5	253	253	NUM
ejpam-720	497	6	,	,	PUNCT
ejpam-720	497	7	2005	2005	NUM
ejpam-720	497	8	.	.	PUNCT
ejpam-720	498	1	[	[	X
ejpam-720	498	2	5	5	X
ejpam-720	498	3	]	]	X
ejpam-720	498	4	t.j	t.j	PROPN
ejpam-720	498	5	.	.	PROPN
ejpam-720	498	6	diciccio	diciccio	PROPN
ejpam-720	498	7	and	and	CCONJ
ejpam-720	498	8	a.c	a.c	PROPN
ejpam-720	498	9	.	.	PROPN
ejpam-720	498	10	monti	monti	PROPN
ejpam-720	498	11	.	.	PUNCT
ejpam-720	499	1	inferential	inferential	ADJ
ejpam-720	499	2	aspects	aspect	NOUN
ejpam-720	499	3	of	of	ADP
ejpam-720	499	4	the	the	DET
ejpam-720	499	5	skew	skew	ADJ
ejpam-720	499	6	exponential	exponential	ADJ
ejpam-720	499	7	power	power	NOUN
ejpam-720	499	8	distribution	distribution	NOUN
ejpam-720	499	9	.	.	PUNCT
ejpam-720	500	1	journal	journal	PROPN
ejpam-720	500	2	of	of	ADP
ejpam-720	500	3	american	american	PROPN
ejpam-720	500	4	statistical	statistical	ADJ
ejpam-720	500	5	association	association	PROPN
ejpam-720	500	6	,	,	PUNCT
ejpam-720	500	7	99(466):439–450	99(466):439–450	PROPN
ejpam-720	500	8	,	,	PUNCT
ejpam-720	500	9	2004	2004	NUM
ejpam-720	500	10	.	.	PUNCT
ejpam-720	501	1	[	[	X
ejpam-720	501	2	6	6	NUM
ejpam-720	501	3	]	]	X
ejpam-720	501	4	a.k	a.k	PROPN
ejpam-720	501	5	.	.	PROPN
ejpam-720	501	6	gupta	gupta	PROPN
ejpam-720	501	7	and	and	CCONJ
ejpam-720	501	8	d.k	d.k	PROPN
ejpam-720	501	9	.	.	PROPN
ejpam-720	501	10	nagar	nagar	PROPN
ejpam-720	501	11	.	.	PUNCT
ejpam-720	501	12	matrix	matrix	NOUN
ejpam-720	501	13	variate	variate	NOUN
ejpam-720	501	14	distributions	distribution	NOUN
ejpam-720	501	15	.	.	PUNCT
ejpam-720	502	1	chapman	chapman	PROPN
ejpam-720	502	2	&	&	CCONJ
ejpam-720	502	3	hall	hall	PROPN
ejpam-720	502	4	/	/	SYM
ejpam-720	502	5	crc	crc	PROPN
ejpam-720	502	6	,	,	PUNCT
ejpam-720	502	7	2000	2000	NUM
ejpam-720	502	8	.	.	PUNCT
ejpam-720	503	1	[	[	X
ejpam-720	503	2	7	7	X
ejpam-720	503	3	]	]	X
ejpam-720	503	4	s.w	s.w	PROPN
ejpam-720	503	5	.	.	PROPN
ejpam-720	503	6	harrar	harrar	NOUN
ejpam-720	503	7	and	and	CCONJ
ejpam-720	503	8	a.k	a.k	PROPN
ejpam-720	503	9	.	.	PROPN
ejpam-720	503	10	gupta	gupta	PROPN
ejpam-720	503	11	.	.	PUNCT
ejpam-720	504	1	on	on	ADP
ejpam-720	504	2	matrix	matrix	NOUN
ejpam-720	504	3	variate	variate	NOUN
ejpam-720	504	4	skew	skew	ADJ
ejpam-720	504	5	-	-	PUNCT
ejpam-720	504	6	normal	normal	ADJ
ejpam-720	504	7	distributions	distribution	NOUN
ejpam-720	504	8	.	.	PUNCT
ejpam-720	505	1	statistics	statistic	NOUN
ejpam-720	505	2	,	,	PUNCT
ejpam-720	505	3	42(2):179–194	42(2):179–194	PROPN
ejpam-720	505	4	,	,	PUNCT
ejpam-720	505	5	2008	2008	NUM
ejpam-720	505	6	.	.	PUNCT
ejpam-720	506	1	[	[	X
ejpam-720	506	2	8	8	NUM
ejpam-720	506	3	]	]	X
ejpam-720	506	4	y.y	y.y	PROPN
ejpam-720	506	5	.	.	PROPN
ejpam-720	506	6	ma	ma	PROPN
ejpam-720	506	7	and	and	CCONJ
ejpam-720	506	8	m.g	m.g	PROPN
ejpam-720	506	9	.	.	PROPN
ejpam-720	506	10	genton	genton	PROPN
ejpam-720	506	11	.	.	PUNCT
ejpam-720	507	1	flexible	flexible	ADJ
ejpam-720	507	2	class	class	NOUN
ejpam-720	507	3	of	of	ADP
ejpam-720	507	4	skew	skew	ADJ
ejpam-720	507	5	-	-	PUNCT
ejpam-720	507	6	symmetric	symmetric	ADJ
ejpam-720	507	7	distributions	distribution	NOUN
ejpam-720	507	8	.	.	PUNCT
ejpam-720	508	1	scandinavian	scandinavian	ADJ
ejpam-720	508	2	journal	journal	PROPN
ejpam-720	508	3	of	of	ADP
ejpam-720	508	4	statistics	statistic	NOUN
ejpam-720	508	5	,	,	PUNCT
ejpam-720	508	6	31(3):459–468	31(3):459–468	PROPN
ejpam-720	508	7	,	,	PUNCT
ejpam-720	508	8	2004	2004	NUM
ejpam-720	508	9	.	.	PUNCT
ejpam-720	509	1	[	[	X
ejpam-720	509	2	9	9	NUM
ejpam-720	509	3	]	]	PUNCT
ejpam-720	509	4	s.	s.	PROPN
ejpam-720	509	5	zacks	zacks	PROPN
ejpam-720	509	6	.	.	PUNCT
ejpam-720	509	7	parametric	parametric	ADJ
ejpam-720	509	8	statistical	statistical	ADJ
ejpam-720	509	9	inference	inference	NOUN
ejpam-720	509	10	.	.	PUNCT
ejpam-720	510	1	pergamon	pergamon	PROPN
ejpam-720	510	2	press	press	PROPN
ejpam-720	510	3	,	,	PUNCT
ejpam-720	510	4	new	new	PROPN
ejpam-720	510	5	york	york	PROPN
ejpam-720	510	6	,	,	PUNCT
ejpam-720	510	7	1981	1981	NUM
ejpam-720	510	8	.	.	PUNCT