id	sid	tid	token	lemma	pos
ejpam-800	1	1	6_xxx_gupta.dvi	6_xxx_gupta.dvi	NUM
ejpam-800	1	2	european	european	ADJ
ejpam-800	1	3	journal	journal	NOUN
ejpam-800	1	4	of	of	ADP
ejpam-800	1	5	pure	pure	ADJ
ejpam-800	1	6	and	and	CCONJ
ejpam-800	1	7	applied	apply	VERB
ejpam-800	1	8	mathematics	mathematic	NOUN
ejpam-800	1	9	vol	vol	NOUN
ejpam-800	1	10	.	.	PUNCT
ejpam-800	2	1	3	3	NUM
ejpam-800	2	2	,	,	PUNCT
ejpam-800	2	3	no	no	INTJ
ejpam-800	2	4	.	.	NOUN
ejpam-800	2	5	3	3	NUM
ejpam-800	2	6	,	,	PUNCT
ejpam-800	2	7	2010	2010	NUM
ejpam-800	2	8	,	,	PUNCT
ejpam-800	2	9	435	435	NUM
ejpam-800	2	10	-	-	SYM
ejpam-800	2	11	442	442	NUM
ejpam-800	2	12	issn	issn	PROPN
ejpam-800	2	13	1307	1307	NUM
ejpam-800	2	14	-	-	SYM
ejpam-800	2	15	5543	5543	NUM
ejpam-800	2	16	–	–	PUNCT
ejpam-800	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-800	2	18	special	special	ADJ
ejpam-800	2	19	issue	issue	NOUN
ejpam-800	2	20	on	on	ADP
ejpam-800	2	21	granger	granger	PROPN
ejpam-800	2	22	econometrics	econometric	NOUN
ejpam-800	2	23	and	and	CCONJ
ejpam-800	2	24	statistical	statistical	ADJ
ejpam-800	2	25	modeling	modeling	NOUN
ejpam-800	2	26	dedicated	dedicate	VERB
ejpam-800	2	27	to	to	ADP
ejpam-800	2	28	the	the	DET
ejpam-800	2	29	memory	memory	NOUN
ejpam-800	2	30	of	of	ADP
ejpam-800	2	31	prof	prof	NOUN
ejpam-800	2	32	.	.	PUNCT
ejpam-800	3	1	sir	sir	PROPN
ejpam-800	3	2	clive	clive	PROPN
ejpam-800	3	3	w.j	w.j	PROPN
ejpam-800	3	4	.	.	PROPN
ejpam-800	4	1	granger	granger	PROPN
ejpam-800	4	2	a	a	DET
ejpam-800	4	3	generalization	generalization	NOUN
ejpam-800	4	4	of	of	ADP
ejpam-800	4	5	durbin	durbin	ADJ
ejpam-800	4	6	-	-	PUNCT
ejpam-800	4	7	watson	watson	PROPN
ejpam-800	4	8	statistic	statistic	PROPN
ejpam-800	4	9	a.	a.	PROPN
ejpam-800	4	10	k.	k.	PROPN
ejpam-800	4	11	gupta1∗	gupta1∗	PROPN
ejpam-800	4	12	,	,	PUNCT
ejpam-800	4	13	d.	d.	PROPN
ejpam-800	4	14	g.	g.	PROPN
ejpam-800	4	15	kabe2	kabe2	PROPN
ejpam-800	4	16	,	,	PUNCT
ejpam-800	4	17	and	and	CCONJ
ejpam-800	5	1	s.	s.	PROPN
ejpam-800	5	2	niwitpong3	niwitpong3	PROPN
ejpam-800	6	1	1	1	NUM
ejpam-800	6	2	department	department	NOUN
ejpam-800	6	3	of	of	ADP
ejpam-800	6	4	mathematics	mathematic	NOUN
ejpam-800	6	5	and	and	CCONJ
ejpam-800	6	6	statistics	statistic	NOUN
ejpam-800	6	7	,	,	PUNCT
ejpam-800	6	8	bowling	bowl	VERB
ejpam-800	6	9	green	green	ADJ
ejpam-800	6	10	state	state	PROPN
ejpam-800	6	11	university	university	PROPN
ejpam-800	6	12	,	,	PUNCT
ejpam-800	6	13	bowling	bowling	NOUN
ejpam-800	6	14	green	green	NOUN
ejpam-800	6	15	,	,	PUNCT
ejpam-800	6	16	usa	usa	PROPN
ejpam-800	6	17	2	2	NUM
ejpam-800	6	18	5971	5971	NUM
ejpam-800	6	19	greensboro	greensboro	PROPN
ejpam-800	6	20	dr	dr	PROPN
ejpam-800	6	21	.	.	PROPN
ejpam-800	6	22	,	,	PUNCT
ejpam-800	6	23	mississauga	mississauga	PROPN
ejpam-800	6	24	,	,	PUNCT
ejpam-800	6	25	ontario	ontario	PROPN
ejpam-800	6	26	,	,	PUNCT
ejpam-800	6	27	canada	canada	PROPN
ejpam-800	6	28	3	3	NUM
ejpam-800	6	29	department	department	PROPN
ejpam-800	6	30	of	of	ADP
ejpam-800	6	31	applied	applied	ADJ
ejpam-800	6	32	statistics	statistic	NOUN
ejpam-800	6	33	,	,	PUNCT
ejpam-800	6	34	king	king	PROPN
ejpam-800	6	35	mongkut	mongkut	PROPN
ejpam-800	6	36	’s	’s	PROPN
ejpam-800	6	37	university	university	PROPN
ejpam-800	6	38	of	of	ADP
ejpam-800	6	39	technology	technology	PROPN
ejpam-800	6	40	north	north	PROPN
ejpam-800	6	41	bangkok	bangkok	PROPN
ejpam-800	6	42	,	,	PUNCT
ejpam-800	6	43	thailand	thailand	PROPN
ejpam-800	6	44	abstract	abstract	PROPN
ejpam-800	6	45	.	.	PUNCT
ejpam-800	7	1	two	two	NUM
ejpam-800	7	2	generalizations	generalization	NOUN
ejpam-800	7	3	of	of	ADP
ejpam-800	7	4	the	the	DET
ejpam-800	7	5	durbin	durbin	ADJ
ejpam-800	7	6	-	-	PUNCT
ejpam-800	7	7	watson	watson	NOUN
ejpam-800	7	8	statistic	statistic	PROPN
ejpam-800	7	9	d	d	PROPN
ejpam-800	7	10	,	,	PUNCT
ejpam-800	7	11	for	for	ADP
ejpam-800	7	12	testing	test	VERB
ejpam-800	7	13	that	that	SCONJ
ejpam-800	7	14	the	the	DET
ejpam-800	7	15	serial	serial	ADJ
ejpam-800	7	16	correlation	correlation	NOUN
ejpam-800	7	17	,	,	PUNCT
ejpam-800	7	18	in	in	ADP
ejpam-800	7	19	a	a	DET
ejpam-800	7	20	given	give	VERB
ejpam-800	7	21	univariate	univariate	ADJ
ejpam-800	7	22	normal	normal	ADJ
ejpam-800	7	23	regression	regression	NOUN
ejpam-800	7	24	model	model	NOUN
ejpam-800	7	25	,	,	PUNCT
ejpam-800	7	26	is	be	AUX
ejpam-800	7	27	zero	zero	NUM
ejpam-800	7	28	,	,	PUNCT
ejpam-800	7	29	to	to	ADP
ejpam-800	7	30	its	its	PRON
ejpam-800	7	31	multivariate	multivariate	NOUN
ejpam-800	7	32	counter	counter	NOUN
ejpam-800	7	33	part	part	NOUN
ejpam-800	7	34	,	,	PUNCT
ejpam-800	7	35	are	be	AUX
ejpam-800	7	36	proposed	propose	VERB
ejpam-800	7	37	.	.	PUNCT
ejpam-800	8	1	in	in	ADP
ejpam-800	8	2	the	the	DET
ejpam-800	8	3	univariate	univariate	ADJ
ejpam-800	8	4	case	case	NOUN
ejpam-800	8	5	the	the	DET
ejpam-800	8	6	moments	moment	NOUN
ejpam-800	8	7	of	of	ADP
ejpam-800	8	8	d	d	PROPN
ejpam-800	8	9	are	be	AUX
ejpam-800	8	10	obtained	obtain	VERB
ejpam-800	8	11	in	in	ADP
ejpam-800	8	12	terms	term	NOUN
ejpam-800	8	13	of	of	ADP
ejpam-800	8	14	generalized	generalized	ADJ
ejpam-800	8	15	gamma	gamma	NOUN
ejpam-800	8	16	functions	function	NOUN
ejpam-800	8	17	.	.	PUNCT
ejpam-800	9	1	our	our	PRON
ejpam-800	9	2	methodology	methodology	NOUN
ejpam-800	9	3	is	be	AUX
ejpam-800	9	4	based	base	VERB
ejpam-800	9	5	on	on	ADP
ejpam-800	9	6	the	the	DET
ejpam-800	9	7	generalized	generalized	ADJ
ejpam-800	9	8	quadratic	quadratic	ADJ
ejpam-800	9	9	form	form	NOUN
ejpam-800	9	10	of	of	ADP
ejpam-800	9	11	the	the	DET
ejpam-800	9	12	central	central	ADJ
ejpam-800	9	13	wishart	wishart	PROPN
ejpam-800	9	14	distribution	distribution	NOUN
ejpam-800	9	15	.	.	PUNCT
ejpam-800	10	1	2000	2000	NUM
ejpam-800	10	2	mathematics	mathematic	NOUN
ejpam-800	10	3	subject	subject	NOUN
ejpam-800	10	4	classifications	classification	NOUN
ejpam-800	10	5	:	:	PUNCT
ejpam-800	10	6	62m10,62g10	62m10,62g10	NUM
ejpam-800	10	7	key	key	ADJ
ejpam-800	10	8	words	word	NOUN
ejpam-800	10	9	and	and	CCONJ
ejpam-800	10	10	phrases	phrase	NOUN
ejpam-800	10	11	:	:	PUNCT
ejpam-800	10	12	additive	additive	NOUN
ejpam-800	10	13	outlier	outlier	NOUN
ejpam-800	10	14	;	;	PUNCT
ejpam-800	10	15	ar(1	ar(1	PROPN
ejpam-800	10	16	)	)	PUNCT
ejpam-800	10	17	;	;	PUNCT
ejpam-800	10	18	predictor	predictor	NOUN
ejpam-800	10	19	;	;	PUNCT
ejpam-800	10	20	prediction	prediction	NOUN
ejpam-800	10	21	interval	interval	NOUN
ejpam-800	10	22	;	;	PUNCT
ejpam-800	10	23	unit	unit	NOUN
ejpam-800	10	24	toot	toot	VERB
ejpam-800	10	25	test	test	NOUN
ejpam-800	10	26	1	1	NUM
ejpam-800	10	27	.	.	PUNCT
ejpam-800	11	1	introduction	introduction	NOUN
ejpam-800	11	2	for	for	ADP
ejpam-800	11	3	the	the	DET
ejpam-800	11	4	univariate	univariate	ADJ
ejpam-800	11	5	normal	normal	ADJ
ejpam-800	11	6	linear	linear	ADJ
ejpam-800	11	7	regression	regression	NOUN
ejpam-800	11	8	model	model	NOUN
ejpam-800	11	9	y	y	PROPN
ejpam-800	11	10	=	=	PUNCT
ejpam-800	11	11	xβ	xβ	PROPN
ejpam-800	12	1	+	+	CCONJ
ejpam-800	12	2	e	e	X
ejpam-800	12	3	,	,	PUNCT
ejpam-800	12	4	e	e	X
ejpam-800	12	5	∼	∼	NOUN
ejpam-800	12	6	n(0,σ2	n(0,σ2	PROPN
ejpam-800	12	7	i	i	NOUN
ejpam-800	12	8	)	)	PUNCT
ejpam-800	12	9	(	(	PUNCT
ejpam-800	12	10	1	1	X
ejpam-800	12	11	)	)	PUNCT
ejpam-800	12	12	where	where	SCONJ
ejpam-800	12	13	y	y	PROPN
ejpam-800	12	14	is	be	AUX
ejpam-800	12	15	an	an	DET
ejpam-800	12	16	n	n	NUM
ejpam-800	12	17	component	component	NOUN
ejpam-800	12	18	(	(	PUNCT
ejpam-800	12	19	column	column	NOUN
ejpam-800	12	20	)	)	PUNCT
ejpam-800	12	21	vector	vector	NOUN
ejpam-800	12	22	,	,	PUNCT
ejpam-800	12	23	β	β	X
ejpam-800	12	24	has	have	VERB
ejpam-800	12	25	q	q	ADJ
ejpam-800	12	26	components	component	NOUN
ejpam-800	12	27	,	,	PUNCT
ejpam-800	12	28	x	x	PUNCT
ejpam-800	12	29	is	be	AUX
ejpam-800	12	30	n×	n×	PRON
ejpam-800	12	31	q	q	NOUN
ejpam-800	12	32	and	and	CCONJ
ejpam-800	12	33	of	of	ADP
ejpam-800	12	34	rank	rank	NOUN
ejpam-800	12	35	q	q	PROPN
ejpam-800	12	36	<	<	X
ejpam-800	12	37	n	n	CCONJ
ejpam-800	12	38	,	,	PUNCT
ejpam-800	12	39	σ2	σ2	PROPN
ejpam-800	12	40	is	be	AUX
ejpam-800	12	41	unknown	unknown	ADJ
ejpam-800	12	42	,	,	PUNCT
ejpam-800	12	43	the	the	DET
ejpam-800	12	44	durbin	durbin	ADJ
ejpam-800	12	45	-	-	PUNCT
ejpam-800	12	46	watson	watson	PROPN
ejpam-800	12	47	statistic	statistic	PROPN
ejpam-800	12	48	d	d	PROPN
ejpam-800	12	49	is	be	AUX
ejpam-800	12	50	defined	define	VERB
ejpam-800	12	51	as	as	SCONJ
ejpam-800	12	52	follows	follow	VERB
ejpam-800	12	53	,	,	PUNCT
ejpam-800	12	54	(	(	PUNCT
ejpam-800	13	1	y	y	PROPN
ejpam-800	13	2	−	−	PROPN
ejpam-800	13	3	xβ)′(y	xβ)′(y	PUNCT
ejpam-800	14	1	−	−	PROPN
ejpam-800	14	2	xβ	xβ	NOUN
ejpam-800	14	3	)	)	PUNCT
ejpam-800	15	1	=	=	PRON
ejpam-800	15	2	(	(	PUNCT
ejpam-800	15	3	β	β	X
ejpam-800	15	4	−	−	PROPN
ejpam-800	15	5	β̂)′x	β̂)′x	PROPN
ejpam-800	15	6	′x	′x	PROPN
ejpam-800	15	7	(	(	PUNCT
ejpam-800	15	8	β	β	X
ejpam-800	15	9	−	−	PROPN
ejpam-800	15	10	β̂	β̂	ADP
ejpam-800	15	11	)	)	PUNCT
ejpam-800	16	1	+	+	CCONJ
ejpam-800	16	2	y	y	PROPN
ejpam-800	16	3	′(i	′(i	VERB
ejpam-800	16	4	−	−	PROPN
ejpam-800	16	5	x	x	SYM
ejpam-800	16	6	(	(	PUNCT
ejpam-800	16	7	x	x	NOUN
ejpam-800	16	8	′x	′x	ADV
ejpam-800	16	9	)	)	PUNCT
ejpam-800	16	10	x	x	SYM
ejpam-800	16	11	′)y	′)y	NUM
ejpam-800	16	12	=	=	SYM
ejpam-800	16	13	(	(	PUNCT
ejpam-800	16	14	β	β	X
ejpam-800	16	15	−	−	PROPN
ejpam-800	16	16	β̂)′x	β̂)′x	PROPN
ejpam-800	16	17	′x	′x	PROPN
ejpam-800	16	18	(	(	PUNCT
ejpam-800	16	19	β	β	X
ejpam-800	16	20	−	−	PROPN
ejpam-800	16	21	β̂	β̂	ADP
ejpam-800	16	22	)	)	PUNCT
ejpam-800	17	1	+	+	CCONJ
ejpam-800	17	2	y	y	PROPN
ejpam-800	17	3	′qq′y	′qq′y	PROPN
ejpam-800	17	4	,	,	PUNCT
ejpam-800	17	5	β̂	β̂	PUNCT
ejpam-800	17	6	=	=	SYM
ejpam-800	17	7	(	(	PUNCT
ejpam-800	17	8	x	x	NOUN
ejpam-800	17	9	′x	′x	ADV
ejpam-800	17	10	)	)	PUNCT
ejpam-800	17	11	−1x	−1x	PROPN
ejpam-800	17	12	′y	′y	NOUN
ejpam-800	17	13	and	and	CCONJ
ejpam-800	17	14	q′q	q′q	NOUN
ejpam-800	18	1	=	=	SYM
ejpam-800	18	2	i	i	PROPN
ejpam-800	18	3	,	,	PUNCT
ejpam-800	18	4	q	q	X
ejpam-800	18	5	is	be	AUX
ejpam-800	18	6	n×m	n×m	PROPN
ejpam-800	18	7	,	,	PUNCT
ejpam-800	18	8	m=(n	m=(n	NOUN
ejpam-800	18	9	-	-	PUNCT
ejpam-800	18	10	q	q	NOUN
ejpam-800	18	11	)	)	PUNCT
ejpam-800	18	12	matric	matric	NOUN
ejpam-800	18	13	of	of	ADP
ejpam-800	18	14	rank	rank	PROPN
ejpam-800	18	15	m	m	PROPN
ejpam-800	18	16	<	<	X
ejpam-800	18	17	n.	n.	NOUN
ejpam-800	19	1	it	it	PRON
ejpam-800	19	2	follows	follow	VERB
ejpam-800	19	3	that	that	SCONJ
ejpam-800	19	4	y	y	PROPN
ejpam-800	19	5	′qq′y	′qq′y	PROPN
ejpam-800	20	1	=	=	PUNCT
ejpam-800	20	2	f	f	NOUN
ejpam-800	20	3	′	′	NUM
ejpam-800	20	4	f	f	NOUN
ejpam-800	20	5	,	,	PUNCT
ejpam-800	20	6	(	(	PUNCT
ejpam-800	20	7	2	2	X
ejpam-800	20	8	)	)	PUNCT
ejpam-800	20	9	∗corresponding	∗corresponde	VERB
ejpam-800	20	10	author	author	NOUN
ejpam-800	20	11	.	.	PUNCT
ejpam-800	21	1	email	email	NOUN
ejpam-800	21	2	address	address	NOUN
ejpam-800	21	3	:	:	PUNCT
ejpam-800	21	4	gupta�bgsu.edu	gupta�bgsu.edu	PROPN
ejpam-800	21	5	(	(	PUNCT
ejpam-800	21	6	a.	a.	PROPN
ejpam-800	21	7	gupta	gupta	PROPN
ejpam-800	21	8	)	)	PUNCT
ejpam-800	21	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-800	22	1	435	435	NUM
ejpam-800	22	2	c	c	X
ejpam-800	22	3	©	©	PROPN
ejpam-800	22	4	2010	2010	NUM
ejpam-800	22	5	ejpam	ejpam	NOUN
ejpam-800	22	6	all	all	DET
ejpam-800	22	7	rights	right	NOUN
ejpam-800	22	8	reserved	reserve	VERB
ejpam-800	22	9	.	.	PUNCT
ejpam-800	23	1	a.	a.	PROPN
ejpam-800	23	2	gupta	gupta	PROPN
ejpam-800	23	3	,	,	PUNCT
ejpam-800	23	4	d.	d.	PROPN
ejpam-800	23	5	kabe	kabe	PROPN
ejpam-800	23	6	,	,	PUNCT
ejpam-800	23	7	s	s	VERB
ejpam-800	23	8	niwitpong	niwitpong	PROPN
ejpam-800	23	9	/	/	SYM
ejpam-800	23	10	eur	eur	PROPN
ejpam-800	23	11	.	.	PUNCT
ejpam-800	24	1	j.	j.	PROPN
ejpam-800	24	2	pure	pure	PROPN
ejpam-800	24	3	appl	appl	PROPN
ejpam-800	24	4	.	.	PROPN
ejpam-800	24	5	math	math	PROPN
ejpam-800	24	6	,	,	PUNCT
ejpam-800	24	7	3	3	NUM
ejpam-800	24	8	(	(	PUNCT
ejpam-800	24	9	2010	2010	NUM
ejpam-800	24	10	)	)	PUNCT
ejpam-800	24	11	,	,	PUNCT
ejpam-800	24	12	435	435	NUM
ejpam-800	24	13	-	-	SYM
ejpam-800	24	14	442	442	NUM
ejpam-800	24	15	436	436	NUM
ejpam-800	24	16	f	f	NOUN
ejpam-800	24	17	is	be	AUX
ejpam-800	24	18	m×	m×	PROPN
ejpam-800	24	19	n	n	CCONJ
ejpam-800	24	20	,	,	PUNCT
ejpam-800	24	21	and	and	CCONJ
ejpam-800	24	22	the	the	DET
ejpam-800	24	23	density	density	NOUN
ejpam-800	24	24	of	of	ADP
ejpam-800	24	25	f	f	PROPN
ejpam-800	24	26	is	be	AUX
ejpam-800	24	27	g	g	PROPN
ejpam-800	24	28	(	(	PUNCT
ejpam-800	24	29	f	f	PROPN
ejpam-800	24	30	)	)	PUNCT
ejpam-800	25	1	=	=	SYM
ejpam-800	25	2	k	k	PROPN
ejpam-800	25	3	exp	exp	NOUN
ejpam-800	25	4	¨	¨	NOUN
ejpam-800	25	5	−	−	PROPN
ejpam-800	25	6	1	1	NUM
ejpam-800	25	7	2σ2	2σ2	NUM
ejpam-800	26	1	f	f	NOUN
ejpam-800	26	2	′	′	NUM
ejpam-800	27	1	f	f	NOUN
ejpam-800	27	2	«	«	PUNCT
ejpam-800	27	3	,	,	PUNCT
ejpam-800	27	4	−∞	−∞	ADP
ejpam-800	27	5	<	<	X
ejpam-800	27	6	f	f	X
ejpam-800	27	7	<	<	X
ejpam-800	27	8	∞	∞	PROPN
ejpam-800	27	9	,	,	PUNCT
ejpam-800	27	10	(	(	PUNCT
ejpam-800	27	11	3	3	X
ejpam-800	27	12	)	)	PUNCT
ejpam-800	27	13	where	where	SCONJ
ejpam-800	27	14	k	k	PROPN
ejpam-800	27	15	,	,	PUNCT
ejpam-800	27	16	as	as	ADP
ejpam-800	27	17	a	a	DET
ejpam-800	27	18	generic	generic	ADJ
ejpam-800	27	19	letter	letter	NOUN
ejpam-800	27	20	,	,	PUNCT
ejpam-800	27	21	denotes	denote	VERB
ejpam-800	27	22	the	the	DET
ejpam-800	27	23	normalizing	normalizing	ADJ
ejpam-800	27	24	constants	constant	NOUN
ejpam-800	27	25	of	of	ADP
ejpam-800	27	26	density	density	NOUN
ejpam-800	27	27	functions	function	NOUN
ejpam-800	27	28	in	in	ADP
ejpam-800	27	29	this	this	DET
ejpam-800	27	30	paper	paper	NOUN
ejpam-800	27	31	.	.	PUNCT
ejpam-800	28	1	now	now	ADV
ejpam-800	28	2	[	[	X
ejpam-800	28	3	6	6	NUM
ejpam-800	28	4	,	,	PUNCT
ejpam-800	28	5	p.	p.	NOUN
ejpam-800	28	6	200	200	NUM
ejpam-800	28	7	]	]	PUNCT
ejpam-800	28	8	define	define	VERB
ejpam-800	28	9	d	d	NOUN
ejpam-800	28	10	to	to	PART
ejpam-800	28	11	be	be	AUX
ejpam-800	28	12	d	d	NOUN
ejpam-800	28	13	=	=	SYM
ejpam-800	28	14	f	f	PROPN
ejpam-800	28	15	′af	′af	NOUN
ejpam-800	28	16	/	/	SYM
ejpam-800	28	17	f	f	NOUN
ejpam-800	28	18	′	′	NUM
ejpam-800	28	19	f	f	NOUN
ejpam-800	28	20	,	,	PUNCT
ejpam-800	28	21	a=	a=	VERB
ejpam-800	28	22	q′a1q	q′a1q	NUM
ejpam-800	28	23	,	,	PUNCT
ejpam-800	28	24	(	(	PUNCT
ejpam-800	28	25	4	4	X
ejpam-800	28	26	)	)	PUNCT
ejpam-800	28	27	a1	a1	NOUN
ejpam-800	28	28	=	=	SYM
ejpam-800	28	29			PROPN
ejpam-800	28	30			NOUN
ejpam-800	28	31			NOUN
ejpam-800	28	32			NOUN
ejpam-800	28	33			NOUN
ejpam-800	28	34			NOUN
ejpam-800	28	35			NOUN
ejpam-800	28	36	1	1	NUM
ejpam-800	28	37	−1	−1	NOUN
ejpam-800	28	38	0	0	NUM
ejpam-800	28	39	0	0	NUM
ejpam-800	28	40	.	.	PUNCT
ejpam-800	28	41	.	.	PUNCT
ejpam-800	29	1	.	.	PUNCT
ejpam-800	30	1	0	0	NUM
ejpam-800	30	2	−1	−1	NOUN
ejpam-800	30	3	2	2	NUM
ejpam-800	30	4	1	1	NUM
ejpam-800	30	5	0	0	NUM
ejpam-800	30	6	.	.	PUNCT
ejpam-800	30	7	.	.	PUNCT
ejpam-800	31	1	.	.	PUNCT
ejpam-800	31	2	0	0	PUNCT
ejpam-800	31	3	.	.	PUNCT
ejpam-800	31	4	.	.	PUNCT
ejpam-800	32	1	.	.	PUNCT
ejpam-800	32	2	.	.	PUNCT
ejpam-800	33	1	.	.	PUNCT
ejpam-800	33	2	.	.	PUNCT
ejpam-800	34	1	.	.	PUNCT
ejpam-800	34	2	.	.	PUNCT
ejpam-800	35	1	.	.	PUNCT
ejpam-800	35	2	.	.	PUNCT
ejpam-800	36	1	.	.	PUNCT
ejpam-800	37	1	.	.	PUNCT
ejpam-800	38	1	0	0	NUM
ejpam-800	38	2	0	0	NUM
ejpam-800	38	3	.	.	PUNCT
ejpam-800	38	4	.	.	PUNCT
ejpam-800	39	1	.	.	PUNCT
ejpam-800	40	1	1	1	NUM
ejpam-800	40	2	2	2	NUM
ejpam-800	40	3	1	1	NUM
ejpam-800	40	4			NOUN
ejpam-800	40	5			NOUN
ejpam-800	40	6			VERB
ejpam-800	40	7			NOUN
ejpam-800	40	8			NOUN
ejpam-800	40	9			NOUN
ejpam-800	40	10			PUNCT
ejpam-800	41	1	where	where	SCONJ
ejpam-800	41	2	n×	n×	PROPN
ejpam-800	41	3	n	n	CCONJ
ejpam-800	41	4	a1	a1	NOUN
ejpam-800	41	5	is	be	AUX
ejpam-800	41	6	of	of	ADP
ejpam-800	41	7	rank	rank	NOUN
ejpam-800	41	8	(	(	PUNCT
ejpam-800	41	9	n−	n−	NOUN
ejpam-800	41	10	1	1	NUM
ejpam-800	41	11	)	)	PUNCT
ejpam-800	41	12	.	.	PUNCT
ejpam-800	42	1	next	next	ADJ
ejpam-800	42	2	setting	set	VERB
ejpam-800	42	3	f	f	PROPN
ejpam-800	42	4	=	=	SYM
ejpam-800	42	5	ht	ht	PROPN
ejpam-800	42	6	,	,	PUNCT
ejpam-800	42	7	f	f	PROPN
ejpam-800	43	1	′	′	NUM
ejpam-800	43	2	f	f	X
ejpam-800	43	3	=	=	SYM
ejpam-800	43	4	1,(4	1,(4	PROPN
ejpam-800	43	5	)	)	PUNCT
ejpam-800	43	6	reduces	reduce	VERB
ejpam-800	43	7	to	to	ADP
ejpam-800	43	8	d	d	NOUN
ejpam-800	43	9	=	=	SYM
ejpam-800	43	10	h′ah	h′ah	PROPN
ejpam-800	43	11	,	,	PUNCT
ejpam-800	43	12	h′h=	h′h=	NOUN
ejpam-800	43	13	1	1	NUM
ejpam-800	43	14	,	,	PUNCT
ejpam-800	43	15	(	(	PUNCT
ejpam-800	43	16	5	5	NUM
ejpam-800	43	17	)	)	PUNCT
ejpam-800	43	18	and	and	CCONJ
ejpam-800	43	19	hence	hence	ADV
ejpam-800	43	20	e(d	e(d	PROPN
ejpam-800	43	21	g	g	PROPN
ejpam-800	43	22	)	)	PUNCT
ejpam-800	43	23	=	=	SYM
ejpam-800	44	1	k	k	PROPN
ejpam-800	44	2	∫	∫	PROPN
ejpam-800	44	3	h′h=1	h′h=1	PROPN
ejpam-800	44	4	(	(	PUNCT
ejpam-800	44	5	h′ah)gdh=	h′ah)gdh=	PROPN
ejpam-800	44	6	(	(	PUNCT
ejpam-800	44	7	1	1	NUM
ejpam-800	44	8	2	2	NUM
ejpam-800	44	9	)	)	PUNCT
ejpam-800	44	10	gc(g)(a	gc(g)(a	NOUN
ejpam-800	44	11	)	)	PUNCT
ejpam-800	44	12	(	(	PUNCT
ejpam-800	44	13	m	m	NOUN
ejpam-800	44	14	2	2	NUM
ejpam-800	44	15	)	)	PUNCT
ejpam-800	44	16	g	g	NOUN
ejpam-800	44	17	,	,	PUNCT
ejpam-800	44	18	(	(	PUNCT
ejpam-800	44	19	6	6	NUM
ejpam-800	44	20	)	)	PUNCT
ejpam-800	44	21	where	where	SCONJ
ejpam-800	44	22	c(θ	c(θ	PROPN
ejpam-800	44	23	)	)	PUNCT
ejpam-800	44	24	is	be	AUX
ejpam-800	44	25	the	the	DET
ejpam-800	44	26	zonal	zonal	ADJ
ejpam-800	44	27	polynomial	polynomial	NOUN
ejpam-800	44	28	[	[	X
ejpam-800	44	29	1	1	NUM
ejpam-800	44	30	,	,	PUNCT
ejpam-800	44	31	p.	p.	NOUN
ejpam-800	44	32	29	29	NUM
ejpam-800	44	33	]	]	PUNCT
ejpam-800	44	34	.	.	PUNCT
ejpam-800	45	1	the	the	DET
ejpam-800	45	2	integrals	integral	NOUN
ejpam-800	45	3	of	of	ADP
ejpam-800	45	4	the	the	DET
ejpam-800	45	5	type	type	NOUN
ejpam-800	45	6	(	(	PUNCT
ejpam-800	45	7	6	6	NUM
ejpam-800	45	8	)	)	PUNCT
ejpam-800	45	9	are	be	AUX
ejpam-800	45	10	known	know	VERB
ejpam-800	45	11	in	in	ADP
ejpam-800	45	12	the	the	DET
ejpam-800	45	13	literature	literature	NOUN
ejpam-800	45	14	as	as	ADP
ejpam-800	45	15	the	the	DET
ejpam-800	45	16	generalized	generalized	ADJ
ejpam-800	45	17	quadratic	quadratic	ADJ
ejpam-800	45	18	form	form	NOUN
ejpam-800	45	19	of	of	ADP
ejpam-800	45	20	the	the	DET
ejpam-800	45	21	central	central	ADJ
ejpam-800	45	22	wishart	wishart	NOUN
ejpam-800	45	23	distribution	distribution	NOUN
ejpam-800	45	24	(	(	PUNCT
ejpam-800	45	25	gqfcwd	gqfcwd	ADJ
ejpam-800	45	26	)	)	PUNCT
ejpam-800	45	27	integrals	integral	NOUN
ejpam-800	45	28	.	.	PUNCT
ejpam-800	46	1	the	the	DET
ejpam-800	46	2	power	power	NOUN
ejpam-800	46	3	function	function	NOUN
ejpam-800	46	4	integrals	integral	NOUN
ejpam-800	46	5	of	of	ADP
ejpam-800	46	6	the	the	DET
ejpam-800	46	7	type	type	NOUN
ejpam-800	46	8	(	(	PUNCT
ejpam-800	46	9	6	6	NUM
ejpam-800	46	10	)	)	PUNCT
ejpam-800	46	11	may	may	AUX
ejpam-800	46	12	be	be	AUX
ejpam-800	46	13	called	call	VERB
ejpam-800	46	14	the	the	DET
ejpam-800	46	15	generalized	generalized	ADJ
ejpam-800	46	16	quadraic	quadraic	ADJ
ejpam-800	46	17	form	form	NOUN
ejpam-800	46	18	of	of	ADP
ejpam-800	46	19	the	the	DET
ejpam-800	46	20	noncentral	noncentral	ADJ
ejpam-800	46	21	wishart	wishart	NOUN
ejpam-800	46	22	distribution	distribution	NOUN
ejpam-800	46	23	(	(	PUNCT
ejpam-800	46	24	gqfncwd	gqfncwd	ADJ
ejpam-800	46	25	)	)	PUNCT
ejpam-800	46	26	integrals	integral	NOUN
ejpam-800	46	27	.	.	PUNCT
ejpam-800	47	1	mathai	mathai	PROPN
ejpam-800	47	2	et	et	PROPN
ejpam-800	47	3	al	al	PROPN
ejpam-800	47	4	.	.	PUNCT
ejpam-800	48	1	[	[	X
ejpam-800	48	2	6	6	NUM
ejpam-800	48	3	,	,	PUNCT
ejpam-800	48	4	chapter	chapter	NOUN
ejpam-800	48	5	5	5	NUM
ejpam-800	48	6	]	]	PUNCT
ejpam-800	48	7	list	list	NOUN
ejpam-800	48	8	a	a	DET
ejpam-800	48	9	number	number	NOUN
ejpam-800	48	10	of	of	ADP
ejpam-800	48	11	integrals	integral	NOUN
ejpam-800	48	12	of	of	ADP
ejpam-800	48	13	the	the	DET
ejpam-800	48	14	type	type	NOUN
ejpam-800	48	15	(	(	PUNCT
ejpam-800	48	16	6	6	NUM
ejpam-800	48	17	)	)	PUNCT
ejpam-800	48	18	and	and	CCONJ
ejpam-800	48	19	their	their	PRON
ejpam-800	48	20	generalizations	generalization	NOUN
ejpam-800	48	21	,	,	PUNCT
ejpam-800	48	22	however	however	ADV
ejpam-800	48	23	,	,	PUNCT
ejpam-800	48	24	none	none	NOUN
ejpam-800	48	25	of	of	ADP
ejpam-800	48	26	them	they	PRON
ejpam-800	48	27	are	be	AUX
ejpam-800	48	28	suitable	suitable	ADJ
ejpam-800	48	29	for	for	ADP
ejpam-800	48	30	the	the	DET
ejpam-800	48	31	moments	moment	NOUN
ejpam-800	48	32	problem	problem	NOUN
ejpam-800	48	33	of	of	ADP
ejpam-800	48	34	d	d	PROPN
ejpam-800	48	35	in	in	ADP
ejpam-800	48	36	the	the	DET
ejpam-800	48	37	present	present	ADJ
ejpam-800	48	38	context	context	NOUN
ejpam-800	48	39	.	.	PUNCT
ejpam-800	49	1	we	we	PRON
ejpam-800	49	2	formulate	formulate	VERB
ejpam-800	49	3	some	some	DET
ejpam-800	49	4	suitable	suitable	ADJ
ejpam-800	49	5	integrals	integral	NOUN
ejpam-800	49	6	in	in	ADP
ejpam-800	49	7	our	our	PRON
ejpam-800	49	8	context	context	NOUN
ejpam-800	49	9	for	for	ADP
ejpam-800	49	10	the	the	DET
ejpam-800	49	11	moments	moment	NOUN
ejpam-800	49	12	problem	problem	NOUN
ejpam-800	49	13	.	.	PUNCT
ejpam-800	50	1	the	the	DET
ejpam-800	50	2	model	model	NOUN
ejpam-800	50	3	(	(	PUNCT
ejpam-800	50	4	1	1	X
ejpam-800	50	5	)	)	PUNCT
ejpam-800	50	6	generalizes	generalize	VERB
ejpam-800	50	7	to	to	ADP
ejpam-800	50	8	the	the	DET
ejpam-800	50	9	model	model	NOUN
ejpam-800	50	10	y	y	PROPN
ejpam-800	50	11	=	=	PUNCT
ejpam-800	50	12	xβ	xβ	PROPN
ejpam-800	51	1	+	+	CCONJ
ejpam-800	51	2	e	e	X
ejpam-800	51	3	,	,	PUNCT
ejpam-800	51	4	e	e	X
ejpam-800	51	5	∼	∼	NOUN
ejpam-800	51	6	n(0	n(0	PROPN
ejpam-800	51	7	,	,	PUNCT
ejpam-800	51	8	i	i	PRON
ejpam-800	51	9	⊗σ	⊗σ	ADJ
ejpam-800	51	10	)	)	PUNCT
ejpam-800	51	11	,	,	PUNCT
ejpam-800	51	12	(	(	PUNCT
ejpam-800	51	13	7	7	X
ejpam-800	51	14	)	)	PUNCT
ejpam-800	51	15	where	where	SCONJ
ejpam-800	51	16	y	y	PROPN
ejpam-800	51	17	is	be	AUX
ejpam-800	51	18	p×	p×	PROPN
ejpam-800	51	19	n	n	CCONJ
ejpam-800	51	20	,	,	PUNCT
ejpam-800	51	21	β	β	X
ejpam-800	51	22	is	be	AUX
ejpam-800	51	23	p×	p×	NOUN
ejpam-800	51	24	q	q	NOUN
ejpam-800	51	25	,	,	PUNCT
ejpam-800	51	26	n	n	CCONJ
ejpam-800	51	27	>	>	X
ejpam-800	51	28	(	(	PUNCT
ejpam-800	51	29	p+	p+	NOUN
ejpam-800	51	30	q	q	NOUN
ejpam-800	51	31	)	)	PUNCT
ejpam-800	51	32	,	,	PUNCT
ejpam-800	51	33	x	x	X
ejpam-800	51	34	is	be	AUX
ejpam-800	51	35	q×	q×	PROPN
ejpam-800	51	36	n	n	X
ejpam-800	51	37	and	and	CCONJ
ejpam-800	51	38	of	of	ADP
ejpam-800	51	39	rank	rank	NOUN
ejpam-800	51	40	q	q	PROPN
ejpam-800	51	41	<	<	X
ejpam-800	51	42	n	n	X
ejpam-800	51	43	,	,	PUNCT
ejpam-800	51	44	σ	σ	PROPN
ejpam-800	51	45	is	be	AUX
ejpam-800	51	46	p×	p×	PROPN
ejpam-800	51	47	p	p	NOUN
ejpam-800	51	48	unknown	unknown	ADJ
ejpam-800	51	49	.	.	PUNCT
ejpam-800	52	1	we	we	PRON
ejpam-800	52	2	now	now	ADV
ejpam-800	52	3	write	write	VERB
ejpam-800	52	4	(	(	PUNCT
ejpam-800	52	5	y	y	PROPN
ejpam-800	52	6	−	−	PROPN
ejpam-800	52	7	βx	βx	PROPN
ejpam-800	52	8	)	)	PUNCT
ejpam-800	53	1	(	(	PUNCT
ejpam-800	53	2	y	y	PROPN
ejpam-800	53	3	−	−	PROPN
ejpam-800	53	4	βx	βx	NOUN
ejpam-800	53	5	)	)	PUNCT
ejpam-800	53	6	′	′	NUM
ejpam-800	54	1	=	=	PUNCT
ejpam-800	54	2	(	(	PUNCT
ejpam-800	54	3	β	β	X
ejpam-800	54	4	−	−	NOUN
ejpam-800	54	5	β̂)x	β̂)x	NUM
ejpam-800	54	6	x	x	SYM
ejpam-800	54	7	′(β	′(β	VERB
ejpam-800	54	8	−	−	PROPN
ejpam-800	55	1	β̂)′	β̂)′	CCONJ
ejpam-800	55	2	+	+	CCONJ
ejpam-800	55	3	y	y	PROPN
ejpam-800	55	4	(	(	PUNCT
ejpam-800	55	5	i	i	PRON
ejpam-800	55	6	−	−	PROPN
ejpam-800	55	7	x	x	SYM
ejpam-800	55	8	′(x	′(x	NOUN
ejpam-800	55	9	′x	′x	NOUN
ejpam-800	55	10	)	)	PUNCT
ejpam-800	55	11	−1x	−1x	PROPN
ejpam-800	55	12	)	)	PUNCT
ejpam-800	56	1	y	y	PROPN
ejpam-800	56	2	′	′	NUM
ejpam-800	56	3	=	=	PUNCT
ejpam-800	57	1	(	(	PUNCT
ejpam-800	57	2	β̂	β̂	ADP
ejpam-800	57	3	−	−	PROPN
ejpam-800	57	4	β)x	β)x	NOUN
ejpam-800	57	5	x	x	X
ejpam-800	57	6	′(β̂	′(β̂	PROPN
ejpam-800	57	7	−β)′	−β)′	ADV
ejpam-800	57	8	+	+	CCONJ
ejpam-800	57	9	yqq′y	yqq′y	PROPN
ejpam-800	57	10	′	′	NOUN
ejpam-800	57	11	,	,	PUNCT
ejpam-800	57	12	β̂	β̂	PUNCT
ejpam-800	58	1	=	=	PUNCT
ejpam-800	58	2	(	(	PUNCT
ejpam-800	58	3	x	x	NOUN
ejpam-800	58	4	′x	′x	ADV
ejpam-800	58	5	)	)	PUNCT
ejpam-800	58	6	−1x	−1x	PROPN
ejpam-800	58	7	′y	′y	NOUN
ejpam-800	58	8	and	and	CCONJ
ejpam-800	58	9	the	the	DET
ejpam-800	58	10	first	first	ADJ
ejpam-800	58	11	generalized	generalize	VERB
ejpam-800	58	12	d	d	NOUN
ejpam-800	58	13	to	to	PART
ejpam-800	58	14	be	be	AUX
ejpam-800	58	15	d	d	NOUN
ejpam-800	58	16	=	=	SYM
ejpam-800	58	17	t	t	NOUN
ejpam-800	58	18	r(yay	r(yay	NOUN
ejpam-800	58	19	′)/t	′)/t	X
ejpam-800	58	20	r(y	r(y	VERB
ejpam-800	58	21	qq′y	qq′y	PROPN
ejpam-800	58	22	′	′	NOUN
ejpam-800	58	23	)	)	PUNCT
ejpam-800	58	24	=	=	SYM
ejpam-800	59	1	t	t	X
ejpam-800	59	2	r(faf	r(faf	NOUN
ejpam-800	59	3	′)/t	′)/t	VERB
ejpam-800	59	4	r(f	r(f	PROPN
ejpam-800	59	5	f	f	PROPN
ejpam-800	59	6	′	′	PROPN
ejpam-800	59	7	)	)	PUNCT
ejpam-800	60	1	=	=	SYM
ejpam-800	60	2	t	t	PROPN
ejpam-800	60	3	r(hah	r(hah	PROPN
ejpam-800	60	4	′	′	PROPN
ejpam-800	60	5	)	)	PUNCT
ejpam-800	60	6	(	(	PUNCT
ejpam-800	60	7	8)	8)	NUM
ejpam-800	60	8	a.	a.	NOUN
ejpam-800	60	9	gupta	gupta	PROPN
ejpam-800	60	10	,	,	PUNCT
ejpam-800	60	11	d.	d.	PROPN
ejpam-800	60	12	kabe	kabe	PROPN
ejpam-800	60	13	,	,	PUNCT
ejpam-800	60	14	s	s	VERB
ejpam-800	60	15	niwitpong	niwitpong	PROPN
ejpam-800	60	16	/	/	SYM
ejpam-800	60	17	eur	eur	PROPN
ejpam-800	60	18	.	.	PUNCT
ejpam-800	61	1	j.	j.	PROPN
ejpam-800	61	2	pure	pure	PROPN
ejpam-800	61	3	appl	appl	PROPN
ejpam-800	61	4	.	.	PROPN
ejpam-800	61	5	math	math	PROPN
ejpam-800	61	6	,	,	PUNCT
ejpam-800	61	7	3	3	NUM
ejpam-800	61	8	(	(	PUNCT
ejpam-800	61	9	2010	2010	NUM
ejpam-800	61	10	)	)	PUNCT
ejpam-800	61	11	,	,	PUNCT
ejpam-800	61	12	435	435	NUM
ejpam-800	61	13	-	-	SYM
ejpam-800	61	14	442	442	NUM
ejpam-800	61	15	437	437	NUM
ejpam-800	61	16	where	where	SCONJ
ejpam-800	61	17	hh	hh	ADV
ejpam-800	62	1	′	′	NOUN
ejpam-800	63	1	=	=	PUNCT
ejpam-800	63	2	i	i	PRON
ejpam-800	63	3	and	and	CCONJ
ejpam-800	63	4	h	h	PROPN
ejpam-800	63	5	is	be	AUX
ejpam-800	63	6	p×	p×	NOUN
ejpam-800	63	7	(	(	PUNCT
ejpam-800	63	8	n−	n−	NOUN
ejpam-800	63	9	q	q	NOUN
ejpam-800	63	10	)	)	PUNCT
ejpam-800	63	11	or	or	CCONJ
ejpam-800	63	12	p×m	p×m	PROPN
ejpam-800	63	13	.	.	PUNCT
ejpam-800	64	1	the	the	DET
ejpam-800	64	2	second	second	ADJ
ejpam-800	64	3	generalized	generalized	ADJ
ejpam-800	64	4	d	d	NOUN
ejpam-800	64	5	is	be	AUX
ejpam-800	64	6	,	,	PUNCT
ejpam-800	64	7	where	where	SCONJ
ejpam-800	64	8	m	m	NOUN
ejpam-800	64	9	is	be	AUX
ejpam-800	64	10	assumed	assume	VERB
ejpam-800	64	11	to	to	PART
ejpam-800	64	12	be	be	AUX
ejpam-800	64	13	n	n	PRON
ejpam-800	64	14	,	,	PUNCT
ejpam-800	64	15	d	d	X
ejpam-800	64	16	=	=	SYM
ejpam-800	64	17	|hah	|hah	NOUN
ejpam-800	64	18	′|	′|	NUM
ejpam-800	64	19	=	=	SYM
ejpam-800	64	20	|hλh	|hλh	NOUN
ejpam-800	64	21	′|	′|	NUM
ejpam-800	64	22	,	,	PUNCT
ejpam-800	64	23	hh	hh	VERB
ejpam-800	65	1	′	′	NOUN
ejpam-800	66	1	=	=	VERB
ejpam-800	66	2	i	i	INTJ
ejpam-800	66	3	,	,	PUNCT
ejpam-800	66	4	(	(	PUNCT
ejpam-800	66	5	9	9	X
ejpam-800	66	6	)	)	PUNCT
ejpam-800	66	7	where	where	SCONJ
ejpam-800	66	8	λ	λ	NOUN
ejpam-800	66	9	=	=	PUNCT
ejpam-800	66	10	diag(λ1,λ2	diag(λ1,λ2	PROPN
ejpam-800	66	11	,	,	PUNCT
ejpam-800	66	12	.	.	PUNCT
ejpam-800	66	13	.	.	PUNCT
ejpam-800	66	14	.	.	PUNCT
ejpam-800	67	1	,	,	PUNCT
ejpam-800	67	2	λn	λn	NOUN
ejpam-800	67	3	)	)	PUNCT
ejpam-800	67	4	is	be	AUX
ejpam-800	67	5	the	the	DET
ejpam-800	67	6	diagonal	diagonal	ADJ
ejpam-800	67	7	matrix	matrix	NOUN
ejpam-800	67	8	of	of	ADP
ejpam-800	67	9	the	the	DET
ejpam-800	67	10	roots	root	NOUN
ejpam-800	67	11	of	of	ADP
ejpam-800	67	12	a.	a.	NOUN
ejpam-800	67	13	from	from	ADP
ejpam-800	67	14	(	(	PUNCT
ejpam-800	67	15	8)	8)	NUM
ejpam-800	67	16	,	,	PUNCT
ejpam-800	67	17	[	[	X
ejpam-800	67	18	6	6	NUM
ejpam-800	67	19	,	,	PUNCT
ejpam-800	67	20	p.270	p.270	ADV
ejpam-800	67	21	,	,	PUNCT
ejpam-800	67	22	equation	equation	NOUN
ejpam-800	67	23	5.5.6	5.5.6	NUM
ejpam-800	67	24	]	]	PUNCT
ejpam-800	67	25	show	show	VERB
ejpam-800	67	26	that	that	SCONJ
ejpam-800	67	27	e(d	e(d	PROPN
ejpam-800	67	28	g	g	PROPN
ejpam-800	67	29	)	)	PUNCT
ejpam-800	68	1	=	=	SYM
ejpam-800	68	2	∫	∫	PROPN
ejpam-800	69	1	hh′=1	hh′=1	PROPN
ejpam-800	69	2	(	(	PUNCT
ejpam-800	69	3	t	t	NOUN
ejpam-800	69	4	r(hλh	r(hλh	NOUN
ejpam-800	69	5	′))kdh	′))kdh	PROPN
ejpam-800	69	6	=	=	SYM
ejpam-800	69	7	�	�	PROPN
ejpam-800	69	8	p	p	NOUN
ejpam-800	69	9	2	2	NUM
ejpam-800	69	10	�	�	PROPN
ejpam-800	69	11	g	g	NOUN
ejpam-800	69	12	c(g)(λ)/	c(g)(λ)/	NOUN
ejpam-800	69	13	�	�	NOUN
ejpam-800	69	14	pm	pm	VERB
ejpam-800	69	15	2	2	NUM
ejpam-800	69	16	�	�	PROPN
ejpam-800	69	17	g	g	PROPN
ejpam-800	69	18	,	,	PUNCT
ejpam-800	69	19	(	(	PUNCT
ejpam-800	69	20	10	10	NUM
ejpam-800	69	21	)	)	PUNCT
ejpam-800	69	22	where	where	SCONJ
ejpam-800	69	23	λ	λ	X
ejpam-800	69	24	=	=	PUNCT
ejpam-800	69	25	diag(λ1,λ2	diag(λ1,λ2	PROPN
ejpam-800	69	26	,	,	PUNCT
ejpam-800	69	27	.	.	PUNCT
ejpam-800	69	28	.	.	PUNCT
ejpam-800	69	29	.	.	PUNCT
ejpam-800	70	1	,	,	PUNCT
ejpam-800	70	2	λm	λm	X
ejpam-800	70	3	)	)	PUNCT
ejpam-800	70	4	is	be	AUX
ejpam-800	70	5	the	the	DET
ejpam-800	70	6	diagonal	diagonal	ADJ
ejpam-800	70	7	matrix	matrix	NOUN
ejpam-800	70	8	of	of	ADP
ejpam-800	70	9	the	the	DET
ejpam-800	70	10	roots	root	NOUN
ejpam-800	70	11	of	of	ADP
ejpam-800	70	12	a1	a1	NOUN
ejpam-800	70	13	.	.	PUNCT
ejpam-800	71	1	however	however	ADV
ejpam-800	71	2	,	,	PUNCT
ejpam-800	71	3	it	it	PRON
ejpam-800	71	4	does	do	AUX
ejpam-800	71	5	not	not	PART
ejpam-800	71	6	appear	appear	VERB
ejpam-800	71	7	that	that	SCONJ
ejpam-800	71	8	the	the	DET
ejpam-800	71	9	integral	integral	ADJ
ejpam-800	71	10	e(d	e(d	PROPN
ejpam-800	71	11	g	g	NOUN
ejpam-800	71	12	)	)	PUNCT
ejpam-800	71	13	=	=	SYM
ejpam-800	72	1	∫	∫	PROPN
ejpam-800	72	2	hh′=1	hh′=1	PROPN
ejpam-800	72	3	|hλh	|hλh	PROPN
ejpam-800	72	4	′|gdh	′|gdh	NOUN
ejpam-800	72	5	,	,	PUNCT
ejpam-800	72	6	(	(	PUNCT
ejpam-800	72	7	11	11	NUM
ejpam-800	72	8	)	)	PUNCT
ejpam-800	72	9	has	have	AUX
ejpam-800	72	10	been	be	AUX
ejpam-800	72	11	suitably	suitably	ADV
ejpam-800	72	12	evaluated	evaluate	VERB
ejpam-800	72	13	in	in	ADP
ejpam-800	72	14	the	the	DET
ejpam-800	72	15	literature	literature	NOUN
ejpam-800	72	16	,	,	PUNCT
ejpam-800	72	17	and	and	CCONJ
ejpam-800	72	18	the	the	DET
ejpam-800	72	19	evaluation	evaluation	NOUN
ejpam-800	72	20	of	of	ADP
ejpam-800	72	21	the	the	DET
ejpam-800	72	22	integral	integral	ADJ
ejpam-800	72	23	(	(	PUNCT
ejpam-800	72	24	11	11	NUM
ejpam-800	72	25	)	)	PUNCT
ejpam-800	72	26	is	be	AUX
ejpam-800	72	27	the	the	DET
ejpam-800	72	28	main	main	ADJ
ejpam-800	72	29	result	result	NOUN
ejpam-800	72	30	of	of	ADP
ejpam-800	72	31	the	the	DET
ejpam-800	72	32	present	present	ADJ
ejpam-800	72	33	paper	paper	NOUN
ejpam-800	72	34	.	.	PUNCT
ejpam-800	73	1	the	the	DET
ejpam-800	73	2	methodology	methodology	NOUN
ejpam-800	73	3	for	for	ADP
ejpam-800	73	4	integrating	integrating	NOUN
ejpam-800	73	5	(	(	PUNCT
ejpam-800	73	6	11	11	NUM
ejpam-800	73	7	)	)	PUNCT
ejpam-800	73	8	is	be	AUX
ejpam-800	73	9	based	base	VERB
ejpam-800	73	10	on	on	ADP
ejpam-800	73	11	[	[	X
ejpam-800	73	12	2	2	NUM
ejpam-800	73	13	,	,	PUNCT
ejpam-800	73	14	3	3	NUM
ejpam-800	73	15	,	,	PUNCT
ejpam-800	73	16	4	4	NUM
ejpam-800	73	17	]	]	PUNCT
ejpam-800	73	18	and	and	CCONJ
ejpam-800	73	19	[	[	X
ejpam-800	73	20	5	5	NUM
ejpam-800	73	21	,	,	PUNCT
ejpam-800	73	22	p.	p.	NOUN
ejpam-800	73	23	352	352	NUM
ejpam-800	73	24	,	,	PUNCT
ejpam-800	73	25	equation	equation	NOUN
ejpam-800	73	26	5.5.29	5.5.29	NUM
ejpam-800	73	27	]	]	PUNCT
ejpam-800	73	28	.	.	PUNCT
ejpam-800	74	1	we	we	PRON
ejpam-800	74	2	present	present	VERB
ejpam-800	74	3	our	our	PRON
ejpam-800	74	4	methodology	methodology	NOUN
ejpam-800	74	5	in	in	ADP
ejpam-800	74	6	the	the	DET
ejpam-800	74	7	next	next	ADJ
ejpam-800	74	8	section	section	NOUN
ejpam-800	74	9	,	,	PUNCT
ejpam-800	74	10	and	and	CCONJ
ejpam-800	74	11	section	section	NOUN
ejpam-800	74	12	3	3	NUM
ejpam-800	74	13	evaluates	evaluate	VERB
ejpam-800	74	14	the	the	DET
ejpam-800	74	15	integral	integral	ADJ
ejpam-800	74	16	(	(	PUNCT
ejpam-800	74	17	11	11	NUM
ejpam-800	74	18	)	)	PUNCT
ejpam-800	74	19	.	.	PUNCT
ejpam-800	75	1	the	the	DET
ejpam-800	75	2	moments	moment	NOUN
ejpam-800	75	3	of	of	ADP
ejpam-800	75	4	d	d	NOUN
ejpam-800	75	5	can	can	AUX
ejpam-800	75	6	be	be	AUX
ejpam-800	75	7	calculated	calculate	VERB
ejpam-800	75	8	in	in	ADP
ejpam-800	75	9	terms	term	NOUN
ejpam-800	75	10	of	of	ADP
ejpam-800	75	11	gamma	gamma	NOUN
ejpam-800	75	12	functions	function	NOUN
ejpam-800	75	13	;	;	PUNCT
ejpam-800	75	14	however	however	ADV
ejpam-800	75	15	the	the	DET
ejpam-800	75	16	density	density	NOUN
ejpam-800	75	17	of	of	ADP
ejpam-800	75	18	d	d	NOUN
ejpam-800	75	19	is	be	AUX
ejpam-800	75	20	not	not	PART
ejpam-800	75	21	,	,	PUNCT
ejpam-800	75	22	as	as	ADV
ejpam-800	75	23	yet	yet	ADV
ejpam-800	75	24	,	,	PUNCT
ejpam-800	75	25	available	available	ADJ
ejpam-800	75	26	in	in	ADP
ejpam-800	75	27	the	the	DET
ejpam-800	75	28	literature	literature	NOUN
ejpam-800	75	29	,	,	PUNCT
ejpam-800	75	30	except	except	SCONJ
ejpam-800	75	31	in	in	ADP
ejpam-800	75	32	trivial	trivial	ADJ
ejpam-800	75	33	cases	case	NOUN
ejpam-800	75	34	.	.	PUNCT
ejpam-800	76	1	sometimes	sometimes	ADV
ejpam-800	76	2	the	the	DET
ejpam-800	76	3	same	same	ADJ
ejpam-800	76	4	symbol	symbol	NOUN
ejpam-800	76	5	denotes	denote	VERB
ejpam-800	76	6	different	different	ADJ
ejpam-800	76	7	quantities	quantity	NOUN
ejpam-800	76	8	;	;	PUNCT
ejpam-800	76	9	however	however	ADV
ejpam-800	76	10	,	,	PUNCT
ejpam-800	76	11	its	its	PRON
ejpam-800	76	12	meaning	meaning	NOUN
ejpam-800	76	13	is	be	AUX
ejpam-800	76	14	made	make	VERB
ejpam-800	76	15	explicit	explicit	ADJ
ejpam-800	76	16	in	in	ADP
ejpam-800	76	17	the	the	DET
ejpam-800	76	18	paper	paper	NOUN
ejpam-800	76	19	.	.	PUNCT
ejpam-800	77	1	2	2	X
ejpam-800	77	2	.	.	X
ejpam-800	77	3	methodology	methodology	NOUN
ejpam-800	77	4	given	give	VERB
ejpam-800	77	5	the	the	DET
ejpam-800	77	6	joint	joint	ADJ
ejpam-800	77	7	density	density	NOUN
ejpam-800	77	8	of	of	ADP
ejpam-800	77	9	n	n	PRON
ejpam-800	77	10	gamma	gamma	NOUN
ejpam-800	77	11	variates	variate	NOUN
ejpam-800	77	12	to	to	PART
ejpam-800	77	13	be	be	AUX
ejpam-800	77	14	g(y1	g(y1	NOUN
ejpam-800	77	15	,	,	PUNCT
ejpam-800	77	16	y2	y2	NOUN
ejpam-800	77	17	,	,	PUNCT
ejpam-800	77	18	.	.	PUNCT
ejpam-800	77	19	.	.	PUNCT
ejpam-800	77	20	.	.	PUNCT
ejpam-800	78	1	,	,	PUNCT
ejpam-800	78	2	yn	yn	PROPN
ejpam-800	78	3	)	)	PUNCT
ejpam-800	79	1	=	=	SYM
ejpam-800	79	2	k	k	PROPN
ejpam-800	79	3	exp{−(λ1	exp{−(λ1	NOUN
ejpam-800	79	4	y1	y1	PROPN
ejpam-800	79	5	+	+	X
ejpam-800	79	6	·	·	PUNCT
ejpam-800	79	7	·	·	PUNCT
ejpam-800	79	8	·	·	PUNCT
ejpam-800	80	1	+	+	ADP
ejpam-800	80	2	λn	λn	PROPN
ejpam-800	80	3	yn)}y	yn)}y	X
ejpam-800	80	4	g1−1	g1−1	PROPN
ejpam-800	80	5	1	1	NUM
ejpam-800	80	6	.	.	PUNCT
ejpam-800	80	7	.	.	PUNCT
ejpam-800	80	8	.	.	PUNCT
ejpam-800	81	1	y	y	PROPN
ejpam-800	81	2	gn−1	gn−1	PROPN
ejpam-800	81	3	n	n	PROPN
ejpam-800	81	4	,	,	PUNCT
ejpam-800	81	5	(	(	PUNCT
ejpam-800	81	6	12	12	NUM
ejpam-800	81	7	)	)	PUNCT
ejpam-800	81	8	the	the	DET
ejpam-800	81	9	density	density	NOUN
ejpam-800	81	10	of	of	ADP
ejpam-800	81	11	t	t	NOUN
ejpam-800	81	12	=	=	SYM
ejpam-800	81	13	(	(	PUNCT
ejpam-800	81	14	y1	y1	INTJ
ejpam-800	81	15	+	+	X
ejpam-800	81	16	·	·	PUNCT
ejpam-800	81	17	·	·	PUNCT
ejpam-800	81	18	·	·	PUNCT
ejpam-800	81	19	+	+	NUM
ejpam-800	81	20	yn	yn	NOUN
ejpam-800	81	21	)	)	PUNCT
ejpam-800	81	22	is	be	AUX
ejpam-800	81	23	desired	desire	VERB
ejpam-800	81	24	.	.	PUNCT
ejpam-800	82	1	the	the	DET
ejpam-800	82	2	moment	moment	NOUN
ejpam-800	82	3	generating	generate	VERB
ejpam-800	82	4	function	function	NOUN
ejpam-800	82	5	ψ(θ	ψ(θ	NOUN
ejpam-800	82	6	)	)	PUNCT
ejpam-800	82	7	of	of	ADP
ejpam-800	82	8	t	t	PROPN
ejpam-800	82	9	is	be	AUX
ejpam-800	82	10	ψ(θ	ψ(θ	PROPN
ejpam-800	82	11	)	)	PUNCT
ejpam-800	83	1	=	=	PUNCT
ejpam-800	83	2	(	(	PUNCT
ejpam-800	83	3	α1−	α1−	PROPN
ejpam-800	83	4	θ	θ	NOUN
ejpam-800	83	5	)	)	PUNCT
ejpam-800	83	6	−g1	−g1	VERB
ejpam-800	83	7	.	.	PUNCT
ejpam-800	83	8	.	.	PUNCT
ejpam-800	83	9	.	.	PUNCT
ejpam-800	84	1	(	(	PUNCT
ejpam-800	84	2	αn−	αn−	NUM
ejpam-800	84	3	θ	θ	NOUN
ejpam-800	84	4	)	)	PUNCT
ejpam-800	84	5	−gn	−gn	NOUN
ejpam-800	84	6	=	=	SYM
ejpam-800	84	7	(	(	PUNCT
ejpam-800	84	8	α1−	α1−	PROPN
ejpam-800	84	9	θ	θ	NOUN
ejpam-800	84	10	)	)	PUNCT
ejpam-800	84	11	−g1((α1	−g1((α1	NOUN
ejpam-800	84	12	−	−	PROPN
ejpam-800	85	1	θ)−	θ)−	PROPN
ejpam-800	85	2	(	(	PUNCT
ejpam-800	85	3	α1	α1	PROPN
ejpam-800	85	4	−α2	−α2	PROPN
ejpam-800	85	5	)	)	PUNCT
ejpam-800	85	6	)	)	PUNCT
ejpam-800	85	7	−g2	−g2	ADJ
ejpam-800	85	8	.	.	PUNCT
ejpam-800	85	9	.	.	PUNCT
ejpam-800	85	10	.	.	PUNCT
ejpam-800	86	1	(	(	PUNCT
ejpam-800	86	2	(	(	PUNCT
ejpam-800	86	3	α1−	α1−	PROPN
ejpam-800	86	4	θ)−	θ)−	PROPN
ejpam-800	86	5	(	(	PUNCT
ejpam-800	86	6	α1	α1	PROPN
ejpam-800	86	7	−αn	−αn	PROPN
ejpam-800	86	8	)	)	PUNCT
ejpam-800	86	9	)	)	PUNCT
ejpam-800	86	10	−gn	−gn	NOUN
ejpam-800	86	11	,	,	PUNCT
ejpam-800	86	12	where	where	SCONJ
ejpam-800	86	13	α1	α1	PROPN
ejpam-800	86	14	is	be	AUX
ejpam-800	86	15	the	the	DET
ejpam-800	86	16	largest	large	ADJ
ejpam-800	86	17	parameter	parameter	NOUN
ejpam-800	86	18	amongst	amongst	ADP
ejpam-800	86	19	the	the	DET
ejpam-800	86	20	n	n	CCONJ
ejpam-800	86	21	positive	positive	ADJ
ejpam-800	86	22	parameters	parameter	NOUN
ejpam-800	86	23	α1	α1	PROPN
ejpam-800	86	24	,	,	PUNCT
ejpam-800	86	25	.	.	PUNCT
ejpam-800	86	26	.	.	PUNCT
ejpam-800	86	27	.	.	PUNCT
ejpam-800	87	1	,	,	PUNCT
ejpam-800	87	2	αn	αn	X
ejpam-800	87	3	.	.	PUNCT
ejpam-800	88	1	now	now	ADV
ejpam-800	88	2	[	[	X
ejpam-800	88	3	2	2	X
ejpam-800	88	4	]	]	PUNCT
ejpam-800	88	5	expands	expand	VERB
ejpam-800	88	6	ψ(θ	ψ(θ	NOUN
ejpam-800	88	7	)	)	PUNCT
ejpam-800	88	8	as	as	ADP
ejpam-800	88	9	ψ(θ	ψ(θ	NOUN
ejpam-800	88	10	)	)	PUNCT
ejpam-800	89	1	=	=	SYM
ejpam-800	89	2	(	(	PUNCT
ejpam-800	89	3	α1	α1	PROPN
ejpam-800	89	4	−	−	PROPN
ejpam-800	89	5	θ	θ	PROPN
ejpam-800	89	6	)	)	PUNCT
ejpam-800	89	7	(	(	PUNCT
ejpam-800	89	8	−g1+···+gn+r2+···+rn	−g1+···+gn+r2+···+rn	PROPN
ejpam-800	89	9	)	)	PUNCT
ejpam-800	89	10	∞	∞	PROPN
ejpam-800	89	11	∑	∑	PUNCT
ejpam-800	89	12	r2=0	r2=0	X
ejpam-800	89	13	·	·	PUNCT
ejpam-800	89	14	·	·	PUNCT
ejpam-800	89	15	·	·	PUNCT
ejpam-800	90	1	∞	∞	NUM
ejpam-800	90	2	∑	∑	PUNCT
ejpam-800	90	3	rn=0	rn=0	PROPN
ejpam-800	90	4	�	�	PROPN
ejpam-800	90	5	g2	g2	PROPN
ejpam-800	90	6	+	+	PROPN
ejpam-800	90	7	r2	r2	PROPN
ejpam-800	90	8	−	−	PROPN
ejpam-800	90	9	1	1	NUM
ejpam-800	90	10	r2	r2	PROPN
ejpam-800	90	11	�	�	PROPN
ejpam-800	90	12	.	.	PUNCT
ejpam-800	90	13	.	.	PUNCT
ejpam-800	90	14	.	.	PUNCT
ejpam-800	91	1	�	�	PROPN
ejpam-800	91	2	gn+	gn+	PROPN
ejpam-800	91	3	rn	rn	PROPN
ejpam-800	91	4	−	−	PROPN
ejpam-800	91	5	1	1	NUM
ejpam-800	91	6	rn	rn	PROPN
ejpam-800	91	7	�	�	PROPN
ejpam-800	91	8	(	(	PUNCT
ejpam-800	91	9	α1	α1	PROPN
ejpam-800	91	10	−α2	−α2	PROPN
ejpam-800	91	11	)	)	PUNCT
ejpam-800	91	12	r2	r2	PROPN
ejpam-800	91	13	.	.	PUNCT
ejpam-800	91	14	.	.	PUNCT
ejpam-800	91	15	.	.	PUNCT
ejpam-800	92	1	(	(	PUNCT
ejpam-800	92	2	α1	α1	PROPN
ejpam-800	92	3	−αn	−αn	PROPN
ejpam-800	92	4	)	)	PUNCT
ejpam-800	92	5	rn	rn	PROPN
ejpam-800	92	6	,	,	PUNCT
ejpam-800	92	7	(	(	PUNCT
ejpam-800	92	8	13	13	NUM
ejpam-800	92	9	)	)	PUNCT
ejpam-800	92	10	a.	a.	NOUN
ejpam-800	92	11	gupta	gupta	PROPN
ejpam-800	92	12	,	,	PUNCT
ejpam-800	92	13	d.	d.	PROPN
ejpam-800	92	14	kabe	kabe	PROPN
ejpam-800	92	15	,	,	PUNCT
ejpam-800	92	16	s	s	VERB
ejpam-800	92	17	niwitpong	niwitpong	PROPN
ejpam-800	92	18	/	/	SYM
ejpam-800	92	19	eur	eur	PROPN
ejpam-800	92	20	.	.	PUNCT
ejpam-800	93	1	j.	j.	PROPN
ejpam-800	93	2	pure	pure	PROPN
ejpam-800	93	3	appl	appl	PROPN
ejpam-800	93	4	.	.	PROPN
ejpam-800	93	5	math	math	PROPN
ejpam-800	93	6	,	,	PUNCT
ejpam-800	93	7	3	3	NUM
ejpam-800	93	8	(	(	PUNCT
ejpam-800	93	9	2010	2010	NUM
ejpam-800	93	10	)	)	PUNCT
ejpam-800	93	11	,	,	PUNCT
ejpam-800	93	12	435	435	NUM
ejpam-800	93	13	-	-	SYM
ejpam-800	93	14	442	442	NUM
ejpam-800	93	15	438	438	NUM
ejpam-800	93	16	and	and	CCONJ
ejpam-800	93	17	inverting	invert	VERB
ejpam-800	93	18	(	(	PUNCT
ejpam-800	93	19	13	13	NUM
ejpam-800	93	20	)	)	PUNCT
ejpam-800	93	21	finds	find	VERB
ejpam-800	93	22	the	the	DET
ejpam-800	93	23	density	density	NOUN
ejpam-800	93	24	of	of	ADP
ejpam-800	93	25	t	t	PROPN
ejpam-800	93	26	to	to	PART
ejpam-800	93	27	be	be	AUX
ejpam-800	93	28	g(t	g(t	PROPN
ejpam-800	93	29	)	)	PUNCT
ejpam-800	94	1	=	=	SYM
ejpam-800	94	2	k	k	PROPN
ejpam-800	94	3	exp{−t}t(g1+	exp{−t}t(g1+	PROPN
ejpam-800	94	4	...	...	PUNCT
ejpam-800	94	5	+gn−1)φ(g2	+gn−1)φ(g2	ADV
ejpam-800	94	6	,	,	PUNCT
ejpam-800	94	7	.	.	PUNCT
ejpam-800	94	8	.	.	PUNCT
ejpam-800	94	9	.	.	PUNCT
ejpam-800	95	1	,	,	PUNCT
ejpam-800	95	2	gn	gn	INTJ
ejpam-800	95	3	;	;	PUNCT
ejpam-800	95	4	g1	g1	PROPN
ejpam-800	95	5	+	+	X
ejpam-800	95	6	·	·	PUNCT
ejpam-800	95	7	·	·	PUNCT
ejpam-800	95	8	·	·	PUNCT
ejpam-800	96	1	+	+	NUM
ejpam-800	96	2	gn	gn	X
ejpam-800	96	3	;	;	PUNCT
ejpam-800	96	4	(	(	PUNCT
ejpam-800	96	5	α1	α1	PROPN
ejpam-800	96	6	−α2)t	−α2)t	PROPN
ejpam-800	96	7	,	,	PUNCT
ejpam-800	96	8	.	.	PUNCT
ejpam-800	96	9	.	.	PUNCT
ejpam-800	96	10	.	.	PUNCT
ejpam-800	97	1	,	,	PUNCT
ejpam-800	97	2	(	(	PUNCT
ejpam-800	97	3	α1	α1	PROPN
ejpam-800	97	4	−αn)t	−αn)t	PROPN
ejpam-800	97	5	)	)	PUNCT
ejpam-800	97	6	where	where	SCONJ
ejpam-800	97	7	φ	φ	PROPN
ejpam-800	97	8	=	=	SYM
ejpam-800	97	9	∞	∞	PROPN
ejpam-800	97	10	∑	∑	PUNCT
ejpam-800	97	11	r2=0	r2=0	X
ejpam-800	97	12	·	·	PUNCT
ejpam-800	97	13	·	·	PUNCT
ejpam-800	97	14	·	·	PUNCT
ejpam-800	98	1	∞	∞	NUM
ejpam-800	98	2	∑	∑	PUNCT
ejpam-800	98	3	rn=0	rn=0	VERB
ejpam-800	98	4	γ(g2	γ(g2	VERB
ejpam-800	98	5	+	+	ADJ
ejpam-800	98	6	r2	r2	NOUN
ejpam-800	98	7	)	)	PUNCT
ejpam-800	98	8	.	.	PUNCT
ejpam-800	98	9	.	.	PUNCT
ejpam-800	99	1	.γ(gn+	.γ(gn+	PUNCT
ejpam-800	100	1	rn)(α1	rn)(α1	NOUN
ejpam-800	100	2	−α2	−α2	PROPN
ejpam-800	100	3	)	)	PUNCT
ejpam-800	100	4	r2	r2	PROPN
ejpam-800	100	5	.	.	PUNCT
ejpam-800	100	6	.	.	PUNCT
ejpam-800	100	7	.	.	PUNCT
ejpam-800	101	1	(	(	PUNCT
ejpam-800	101	2	α1	α1	PROPN
ejpam-800	101	3	−α2	−α2	PROPN
ejpam-800	101	4	)	)	PUNCT
ejpam-800	101	5	rn	rn	PROPN
ejpam-800	101	6	γ(g1	γ(g1	NOUN
ejpam-800	101	7	+	+	CCONJ
ejpam-800	101	8	·	·	PUNCT
ejpam-800	101	9	·	·	PUNCT
ejpam-800	101	10	·	·	PUNCT
ejpam-800	101	11	+	+	NUM
ejpam-800	101	12	gn+	gn+	ADJ
ejpam-800	101	13	r2	r2	NOUN
ejpam-800	101	14	+	+	CCONJ
ejpam-800	101	15	·	·	PUNCT
ejpam-800	101	16	·	·	PUNCT
ejpam-800	101	17	·	·	PUNCT
ejpam-800	102	1	+	+	NUM
ejpam-800	102	2	rn)r2	rn)r2	VERB
ejpam-800	102	3	!	!	PUNCT
ejpam-800	102	4	.	.	PUNCT
ejpam-800	102	5	.	.	PUNCT
ejpam-800	102	6	.	.	PUNCT
ejpam-800	103	1	rn	rn	PROPN
ejpam-800	103	2	!	!	PUNCT
ejpam-800	103	3	=	=	SYM
ejpam-800	104	1	1f1(g2	1f1(g2	NUM
ejpam-800	104	2	+	+	X
ejpam-800	104	3	·	·	PUNCT
ejpam-800	104	4	·	·	PUNCT
ejpam-800	104	5	·	·	PUNCT
ejpam-800	104	6	+	+	NUM
ejpam-800	104	7	gn	gn	PROPN
ejpam-800	104	8	;	;	PUNCT
ejpam-800	104	9	g1	g1	PROPN
ejpam-800	104	10	+	+	X
ejpam-800	104	11	·	·	PUNCT
ejpam-800	104	12	·	·	PUNCT
ejpam-800	104	13	·	·	PUNCT
ejpam-800	104	14	+	+	NUM
ejpam-800	104	15	gn	gn	PROPN
ejpam-800	104	16	)	)	PUNCT
ejpam-800	104	17	;	;	PUNCT
ejpam-800	104	18	(	(	PUNCT
ejpam-800	104	19	(	(	PUNCT
ejpam-800	104	20	n−	n−	NOUN
ejpam-800	104	21	1)α1−α2	1)α1−α2	NUM
ejpam-800	104	22	−	−	NOUN
ejpam-800	104	23	.	.	PUNCT
ejpam-800	104	24	.	.	PUNCT
ejpam-800	105	1	.αn)t	.αn)t	PROPN
ejpam-800	105	2	)	)	PUNCT
ejpam-800	105	3	.	.	PUNCT
ejpam-800	106	1	(	(	PUNCT
ejpam-800	106	2	14	14	NUM
ejpam-800	106	3	)	)	PUNCT
ejpam-800	106	4	to	to	PART
ejpam-800	106	5	prove	prove	VERB
ejpam-800	106	6	(	(	PUNCT
ejpam-800	106	7	14	14	NUM
ejpam-800	106	8	)	)	PUNCT
ejpam-800	106	9	,	,	PUNCT
ejpam-800	106	10	we	we	PRON
ejpam-800	106	11	observe	observe	VERB
ejpam-800	106	12	that	that	SCONJ
ejpam-800	106	13	the	the	DET
ejpam-800	106	14	sum	sum	NOUN
ejpam-800	106	15	of	of	ADP
ejpam-800	106	16	two	two	NUM
ejpam-800	106	17	noncentral	noncentral	ADJ
ejpam-800	106	18	wishart	wishart	NOUN
ejpam-800	106	19	p×p	p×p	PROPN
ejpam-800	106	20	matrices	matrice	VERB
ejpam-800	106	21	a	a	PRON
ejpam-800	106	22	and	and	CCONJ
ejpam-800	106	23	b	b	NOUN
ejpam-800	106	24	,	,	PUNCT
ejpam-800	106	25	with	with	ADP
ejpam-800	106	26	noncentrality	noncentrality	NOUN
ejpam-800	106	27	parameter	parameter	NOUN
ejpam-800	106	28	p×	p×	PROPN
ejpam-800	106	29	p	p	NOUN
ejpam-800	106	30	matrices	matrix	NOUN
ejpam-800	106	31	∆	∆	PROPN
ejpam-800	106	32	and	and	CCONJ
ejpam-800	106	33	ω	ω	NUM
ejpam-800	106	34	,	,	PUNCT
ejpam-800	106	35	and	and	CCONJ
ejpam-800	106	36	n	n	NOUN
ejpam-800	106	37	and	and	CCONJ
ejpam-800	106	38	q	q	ADJ
ejpam-800	106	39	degrees	degree	NOUN
ejpam-800	106	40	of	of	ADP
ejpam-800	106	41	freedom	freedom	NOUN
ejpam-800	106	42	respectively	respectively	ADV
ejpam-800	106	43	is	be	AUX
ejpam-800	106	44	again	again	ADV
ejpam-800	106	45	noncentral	noncentral	ADJ
ejpam-800	106	46	wishart	wishart	NOUN
ejpam-800	106	47	with	with	ADP
ejpam-800	106	48	(	(	PUNCT
ejpam-800	106	49	n	n	X
ejpam-800	106	50	+	+	CCONJ
ejpam-800	106	51	q	q	X
ejpam-800	106	52	)	)	PUNCT
ejpam-800	106	53	degrees	degree	NOUN
ejpam-800	106	54	of	of	ADP
ejpam-800	106	55	freedom	freedom	NOUN
ejpam-800	106	56	,	,	PUNCT
ejpam-800	106	57	and	and	CCONJ
ejpam-800	106	58	noncentrality	noncentrality	NOUN
ejpam-800	106	59	parameter	parameter	NOUN
ejpam-800	106	60	matrix	matrix	NOUN
ejpam-800	106	61	(	(	PUNCT
ejpam-800	106	62	∆+ω	∆+ω	NUM
ejpam-800	106	63	)	)	PUNCT
ejpam-800	106	64	.	.	PUNCT
ejpam-800	107	1	with	with	ADP
ejpam-800	107	2	2	2	NUM
ejpam-800	107	3	g	g	NOUN
ejpam-800	107	4	=	=	PUNCT
ejpam-800	107	5	(	(	PUNCT
ejpam-800	107	6	p+	p+	NOUN
ejpam-800	107	7	1	1	NUM
ejpam-800	107	8	)	)	PUNCT
ejpam-800	107	9	,	,	PUNCT
ejpam-800	107	10	we	we	PRON
ejpam-800	107	11	write	write	VERB
ejpam-800	107	12	this	this	DET
ejpam-800	107	13	result	result	NOUN
ejpam-800	107	14	as	as	ADP
ejpam-800	107	15	∫	∫	PROPN
ejpam-800	107	16	a+b	a+b	NUM
ejpam-800	107	17	=	=	SYM
ejpam-800	107	18	d	d	NOUN
ejpam-800	107	19	exp{−t	exp{−t	VERB
ejpam-800	107	20	r(a+	r(a+	NOUN
ejpam-800	107	21	b)}|a|n−g	b)}|a|n−g	VERB
ejpam-800	108	1	|b|q−gof1(n;∆a)of1(q;ωb)dadb	|b|q−gof1(n;∆a)of1(q;ωb)dadb	PROPN
ejpam-800	108	2	=	=	SYM
ejpam-800	108	3	k	k	PROPN
ejpam-800	108	4	exp{−t	exp{−t	VERB
ejpam-800	108	5	rd}|d|n+q−g	rd}|d|n+q−g	ADV
ejpam-800	108	6	of1(q	of1(q	ADV
ejpam-800	108	7	;	;	PUNCT
ejpam-800	108	8	(	(	PUNCT
ejpam-800	108	9	∆+ω)d	∆+ω)d	NOUN
ejpam-800	108	10	)	)	PUNCT
ejpam-800	108	11	(	(	PUNCT
ejpam-800	108	12	15	15	NUM
ejpam-800	108	13	)	)	PUNCT
ejpam-800	108	14	or	or	CCONJ
ejpam-800	108	15	formally	formally	ADV
ejpam-800	108	16	that	that	DET
ejpam-800	108	17	of1(n;∆a)of1(q;ωb	of1(n;∆a)of1(q;ωb	NOUN
ejpam-800	108	18	)	)	PUNCT
ejpam-800	108	19	=	=	SYM
ejpam-800	109	1	of1(n+	of1(n+	NUM
ejpam-800	109	2	q	q	NOUN
ejpam-800	109	3	;	;	PUNCT
ejpam-800	109	4	(	(	PUNCT
ejpam-800	109	5	∆+ω)(a+	∆+ω)(a+	NOUN
ejpam-800	109	6	b	b	NOUN
ejpam-800	109	7	)	)	PUNCT
ejpam-800	109	8	)	)	PUNCT
ejpam-800	109	9	.	.	PUNCT
ejpam-800	110	1	(	(	PUNCT
ejpam-800	110	2	16	16	NUM
ejpam-800	110	3	)	)	PUNCT
ejpam-800	110	4	mathai	mathai	PROPN
ejpam-800	111	1	[	[	X
ejpam-800	111	2	5	5	NUM
ejpam-800	111	3	,	,	PUNCT
ejpam-800	111	4	p.	p.	NOUN
ejpam-800	111	5	339	339	NUM
ejpam-800	111	6	,	,	PUNCT
ejpam-800	111	7	theorem	theorem	VERB
ejpam-800	111	8	5.5	5.5	NUM
ejpam-800	111	9	]	]	PUNCT
ejpam-800	111	10	defines	define	NOUN
ejpam-800	111	11	φ(b1	φ(b1	NOUN
ejpam-800	111	12	,	,	PUNCT
ejpam-800	111	13	b2	b2	NOUN
ejpam-800	111	14	;	;	PUNCT
ejpam-800	111	15	c	c	X
ejpam-800	111	16	;	;	PUNCT
ejpam-800	111	17	x1	x1	NUM
ejpam-800	111	18	,	,	PUNCT
ejpam-800	111	19	x2	x2	PROPN
ejpam-800	111	20	)	)	PUNCT
ejpam-800	112	1	=	=	SYM
ejpam-800	112	2	∫	∫	PROPN
ejpam-800	112	3	|u1|	|u1|	PROPN
ejpam-800	112	4	d1−g	d1−g	PROPN
ejpam-800	112	5	|u2|	|u2|	VERB
ejpam-800	112	6	d2−g	d2−g	NOUN
ejpam-800	112	7	|i	|i	VERB
ejpam-800	112	8	−	−	PROPN
ejpam-800	112	9	u1	u1	NOUN
ejpam-800	112	10	−	−	NOUN
ejpam-800	112	11	u2|	u2|	PROPN
ejpam-800	112	12	c−d1−d2−g	c−d1−d2−g	PROPN
ejpam-800	112	13	1f1(b1	1f1(b1	NUM
ejpam-800	112	14	;	;	PUNCT
ejpam-800	113	1	d1	d1	PROPN
ejpam-800	113	2	;	;	PUNCT
ejpam-800	113	3	x1u1)1f1(b2	x1u1)1f1(b2	PROPN
ejpam-800	113	4	;	;	PUNCT
ejpam-800	113	5	d2	d2	PROPN
ejpam-800	113	6	;	;	PUNCT
ejpam-800	113	7	x2u2)du1du2	x2u2)du1du2	PROPN
ejpam-800	113	8	=	=	SYM
ejpam-800	113	9	∫	∫	PROPN
ejpam-800	113	10	|u1|	|u1|	PROPN
ejpam-800	113	11	d1−g	d1−g	PROPN
ejpam-800	113	12	|u2|	|u2|	VERB
ejpam-800	113	13	d2−g	d2−g	NOUN
ejpam-800	113	14	|i	|i	VERB
ejpam-800	113	15	−	−	PROPN
ejpam-800	113	16	u1	u1	NOUN
ejpam-800	113	17	−	−	PROPN
ejpam-800	113	18	u2|	u2|	ADJ
ejpam-800	113	19	c−d1−d2−g	c−d1−d2−g	PROPN
ejpam-800	113	20	exp{−t	exp{−t	AUX
ejpam-800	113	21	r(z1	r(z1	VERB
ejpam-800	113	22	+	+	ADP
ejpam-800	113	23	z2)}|z1|	z2)}|z1|	ADJ
ejpam-800	113	24	b1−g	b1−g	PROPN
ejpam-800	113	25	|z2|	|z2|	PROPN
ejpam-800	113	26	b2−gof1(d1	b2−gof1(d1	NOUN
ejpam-800	113	27	;	;	PUNCT
ejpam-800	113	28	x1u1z1	x1u1z1	PROPN
ejpam-800	113	29	)	)	PUNCT
ejpam-800	113	30	of1(d2	of1(d2	PUNCT
ejpam-800	113	31	;	;	PUNCT
ejpam-800	113	32	x2u2z2)dz1dz2du1du2	x2u2z2)dz1dz2du1du2	PROPN
ejpam-800	113	33	=	=	SYM
ejpam-800	113	34	∫	∫	PROPN
ejpam-800	113	35	|u1|	|u1|	PROPN
ejpam-800	113	36	d1−g	d1−g	PROPN
ejpam-800	113	37	|u2|	|u2|	VERB
ejpam-800	113	38	d2−g	d2−g	NOUN
ejpam-800	113	39	|i	|i	VERB
ejpam-800	113	40	−	−	PROPN
ejpam-800	113	41	u1	u1	NOUN
ejpam-800	113	42	−	−	PROPN
ejpam-800	113	43	u2|	u2|	ADJ
ejpam-800	113	44	c−d1−d2−g	c−d1−d2−g	PROPN
ejpam-800	113	45	exp{−t	exp{−t	AUX
ejpam-800	113	46	r(z1	r(z1	VERB
ejpam-800	113	47	+	+	ADP
ejpam-800	114	1	z2)}|z1|	z2)}|z1|	ADJ
ejpam-800	114	2	b1−g	b1−g	PROPN
ejpam-800	114	3	|z2|	|z2|	ADJ
ejpam-800	114	4	b2−gof1(d1	b2−gof1(d1	X
ejpam-800	114	5	+	+	CCONJ
ejpam-800	114	6	d2	d2	NOUN
ejpam-800	114	7	;	;	PUNCT
ejpam-800	114	8	(	(	PUNCT
ejpam-800	114	9	x1	x1	PROPN
ejpam-800	114	10	+	+	NOUN
ejpam-800	114	11	x2)(u1	x2)(u1	NUM
ejpam-800	114	12	+	+	CCONJ
ejpam-800	114	13	u2)(z1	u2)(z1	NOUN
ejpam-800	114	14	+	+	X
ejpam-800	114	15	z2)dz1dz2du1du2	z2)dz1dz2du1du2	CCONJ
ejpam-800	114	16	=	=	SYM
ejpam-800	114	17	∫	∫	PROPN
ejpam-800	114	18	|u1|	|u1|	PROPN
ejpam-800	114	19	d1−g	d1−g	PROPN
ejpam-800	114	20	|u2|	|u2|	VERB
ejpam-800	114	21	d2−g	d2−g	NOUN
ejpam-800	114	22	|i	|i	VERB
ejpam-800	114	23	−	−	PROPN
ejpam-800	114	24	u1	u1	NOUN
ejpam-800	114	25	−	−	PROPN
ejpam-800	114	26	u2|	u2|	ADJ
ejpam-800	114	27	c−d1−d2−g	c−d1−d2−g	PROPN
ejpam-800	114	28	exp{−t	exp{−t	AUX
ejpam-800	114	29	r(z1	r(z1	VERB
ejpam-800	114	30	+	+	ADP
ejpam-800	114	31	z2)}|z1|	z2)}|z1|	ADJ
ejpam-800	114	32	b1−g	b1−g	PROPN
ejpam-800	114	33	|z2|	|z2|	PROPN
ejpam-800	114	34	b2−g	b2−g	PROPN
ejpam-800	114	35	1f1(b1	1f1(b1	NUM
ejpam-800	114	36	+	+	CCONJ
ejpam-800	114	37	b2	b2	NOUN
ejpam-800	114	38	;	;	PUNCT
ejpam-800	114	39	d1	d1	PROPN
ejpam-800	114	40	+	+	SYM
ejpam-800	114	41	d2	d2	PROPN
ejpam-800	114	42	;	;	PUNCT
ejpam-800	114	43	(	(	PUNCT
ejpam-800	114	44	x1	x1	PROPN
ejpam-800	114	45	+	+	NOUN
ejpam-800	114	46	x2)(u1	x2)(u1	NUM
ejpam-800	114	47	+	+	CCONJ
ejpam-800	114	48	u2))du1du2	u2))du1du2	NOUN
ejpam-800	114	49	=	=	SYM
ejpam-800	114	50	(	(	PUNCT
ejpam-800	114	51	k)2f2(d1	k)2f2(d1	PROPN
ejpam-800	114	52	+	+	SYM
ejpam-800	114	53	d2	d2	PROPN
ejpam-800	114	54	;	;	PUNCT
ejpam-800	114	55	b1	b1	NOUN
ejpam-800	114	56	+	+	CCONJ
ejpam-800	114	57	b2	b2	NOUN
ejpam-800	114	58	;	;	PUNCT
ejpam-800	114	59	d1	d1	PROPN
ejpam-800	114	60	+	+	CCONJ
ejpam-800	114	61	d2	d2	PROPN
ejpam-800	114	62	;	;	PUNCT
ejpam-800	114	63	c	c	X
ejpam-800	114	64	;	;	PUNCT
ejpam-800	114	65	x1	x1	PROPN
ejpam-800	114	66	+	+	CCONJ
ejpam-800	114	67	x2	x2	ADJ
ejpam-800	114	68	)	)	PUNCT
ejpam-800	114	69	a.	a.	NOUN
ejpam-800	114	70	gupta	gupta	PROPN
ejpam-800	114	71	,	,	PUNCT
ejpam-800	114	72	d.	d.	PROPN
ejpam-800	114	73	kabe	kabe	PROPN
ejpam-800	114	74	,	,	PUNCT
ejpam-800	114	75	s	s	VERB
ejpam-800	114	76	niwitpong	niwitpong	PROPN
ejpam-800	114	77	/	/	SYM
ejpam-800	114	78	eur	eur	PROPN
ejpam-800	114	79	.	.	PUNCT
ejpam-800	115	1	j.	j.	PROPN
ejpam-800	115	2	pure	pure	PROPN
ejpam-800	115	3	appl	appl	PROPN
ejpam-800	115	4	.	.	PROPN
ejpam-800	115	5	math	math	PROPN
ejpam-800	115	6	,	,	PUNCT
ejpam-800	115	7	3	3	NUM
ejpam-800	115	8	(	(	PUNCT
ejpam-800	115	9	2010	2010	NUM
ejpam-800	115	10	)	)	PUNCT
ejpam-800	115	11	,	,	PUNCT
ejpam-800	115	12	435	435	NUM
ejpam-800	115	13	-	-	SYM
ejpam-800	115	14	442	442	NUM
ejpam-800	115	15	439	439	NUM
ejpam-800	115	16	=	=	SYM
ejpam-800	115	17	(	(	PUNCT
ejpam-800	115	18	k)1f1(b1	k)1f1(b1	PROPN
ejpam-800	115	19	+	+	SYM
ejpam-800	115	20	b2	b2	NOUN
ejpam-800	115	21	;	;	PUNCT
ejpam-800	115	22	c	c	X
ejpam-800	115	23	;	;	PUNCT
ejpam-800	115	24	x1	x1	PROPN
ejpam-800	116	1	+	+	NUM
ejpam-800	116	2	x2	x2	NOUN
ejpam-800	116	3	)	)	PUNCT
ejpam-800	116	4	,	,	PUNCT
ejpam-800	116	5	(	(	PUNCT
ejpam-800	116	6	17	17	NUM
ejpam-800	116	7	)	)	PUNCT
ejpam-800	116	8	and	and	CCONJ
ejpam-800	116	9	hence	hence	ADV
ejpam-800	116	10	(	(	PUNCT
ejpam-800	116	11	16	16	NUM
ejpam-800	116	12	)	)	PUNCT
ejpam-800	116	13	follows	follow	VERB
ejpam-800	116	14	.	.	PUNCT
ejpam-800	117	1	in	in	ADP
ejpam-800	117	2	(	(	PUNCT
ejpam-800	117	3	17	17	NUM
ejpam-800	117	4	)	)	PUNCT
ejpam-800	117	5	all	all	DET
ejpam-800	117	6	matrices	matrix	NOUN
ejpam-800	117	7	are	be	AUX
ejpam-800	117	8	p×	p×	NOUN
ejpam-800	117	9	p	p	ADJ
ejpam-800	117	10	positive	positive	ADJ
ejpam-800	117	11	symmetric	symmetric	ADJ
ejpam-800	117	12	matrices	matrix	NOUN
ejpam-800	117	13	.	.	PUNCT
ejpam-800	118	1	obviously	obviously	ADV
ejpam-800	118	2	now	now	ADV
ejpam-800	118	3	we	we	PRON
ejpam-800	118	4	have	have	VERB
ejpam-800	118	5	the	the	DET
ejpam-800	118	6	integral	integral	ADJ
ejpam-800	118	7	g(t	g(t	PROPN
ejpam-800	118	8	)	)	PUNCT
ejpam-800	119	1	=	=	PUNCT
ejpam-800	119	2	k	k	PROPN
ejpam-800	119	3	∫	∫	PROPN
ejpam-800	119	4	a1+···+an	a1+···+an	PROPN
ejpam-800	119	5	=	=	PROPN
ejpam-800	119	6	t	t	PROPN
ejpam-800	119	7	exp{t	exp{t	NOUN
ejpam-800	119	8	r(σ1a1	r(σ1a1	PROPN
ejpam-800	119	9	+	+	PROPN
ejpam-800	120	1	·	·	PUNCT
ejpam-800	120	2	·	·	PUNCT
ejpam-800	120	3	·	·	PUNCT
ejpam-800	120	4	+	+	NUM
ejpam-800	120	5	σnan)}|a1|	σnan)}|a1|	PROPN
ejpam-800	120	6	g1−g	g1−g	PROPN
ejpam-800	120	7	.	.	PUNCT
ejpam-800	120	8	.	.	PUNCT
ejpam-800	120	9	.	.	PUNCT
ejpam-800	121	1	|an|	|an|	NOUN
ejpam-800	121	2	gn−g	gn−g	VERB
ejpam-800	121	3	da1	da1	PROPN
ejpam-800	121	4	.	.	PUNCT
ejpam-800	121	5	.	.	PUNCT
ejpam-800	121	6	.	.	PUNCT
ejpam-800	122	1	dan	dan	PROPN
ejpam-800	122	2	=	=	PROPN
ejpam-800	122	3	k	k	PROPN
ejpam-800	122	4	exp{−t	exp{−t	PROPN
ejpam-800	122	5	rt}|t	rt}|t	PROPN
ejpam-800	122	6	|g1+···+gn−g	|g1+···+gn−g	NOUN
ejpam-800	122	7	1f1(g2	1f1(g2	NUM
ejpam-800	122	8	+	+	CCONJ
ejpam-800	122	9	·	·	PUNCT
ejpam-800	122	10	·	·	PUNCT
ejpam-800	122	11	·	·	PUNCT
ejpam-800	123	1	+	+	NUM
ejpam-800	123	2	gn	gn	PROPN
ejpam-800	123	3	;	;	PUNCT
ejpam-800	123	4	g1	g1	PROPN
ejpam-800	123	5	+	+	X
ejpam-800	123	6	·	·	PUNCT
ejpam-800	123	7	·	·	PUNCT
ejpam-800	123	8	·	·	PUNCT
ejpam-800	124	1	+	+	NUM
ejpam-800	124	2	gn	gn	X
ejpam-800	124	3	;	;	PUNCT
ejpam-800	124	4	(	(	PUNCT
ejpam-800	124	5	(	(	PUNCT
ejpam-800	124	6	n−	n−	NOUN
ejpam-800	124	7	1	1	NUM
ejpam-800	124	8	)	)	PUNCT
ejpam-800	124	9	σ1	σ1	NOUN
ejpam-800	124	10	−σ2−	−σ2−	NOUN
ejpam-800	124	11	·	·	PUNCT
ejpam-800	124	12	·	·	PUNCT
ejpam-800	124	13	·	·	PUNCT
ejpam-800	125	1	−σn)t	−σn)t	NUM
ejpam-800	125	2	)	)	PUNCT
ejpam-800	125	3	(	(	PUNCT
ejpam-800	125	4	18	18	NUM
ejpam-800	125	5	)	)	PUNCT
ejpam-800	125	6	where	where	SCONJ
ejpam-800	125	7	all	all	DET
ejpam-800	125	8	matrices	matrix	NOUN
ejpam-800	125	9	in	in	ADP
ejpam-800	125	10	(	(	PUNCT
ejpam-800	125	11	18	18	NUM
ejpam-800	125	12	)	)	PUNCT
ejpam-800	125	13	are	be	AUX
ejpam-800	125	14	p×	p×	NOUN
ejpam-800	125	15	p	p	X
ejpam-800	125	16	positive	positive	ADJ
ejpam-800	125	17	definite	definite	ADJ
ejpam-800	125	18	symmetric	symmetric	ADJ
ejpam-800	125	19	matrices	matrix	NOUN
ejpam-800	125	20	.	.	PUNCT
ejpam-800	126	1	the	the	DET
ejpam-800	126	2	moment	moment	NOUN
ejpam-800	126	3	generating	generate	VERB
ejpam-800	126	4	function	function	NOUN
ejpam-800	126	5	φ(θ	φ(θ	PROPN
ejpam-800	126	6	)	)	PUNCT
ejpam-800	126	7	of	of	ADP
ejpam-800	126	8	t	t	PROPN
ejpam-800	126	9	is	be	AUX
ejpam-800	126	10	φ(θ	φ(θ	PROPN
ejpam-800	126	11	)	)	PUNCT
ejpam-800	127	1	=	=	SYM
ejpam-800	127	2	|σ1−	|σ1−	NOUN
ejpam-800	127	3	θ	θ	PROPN
ejpam-800	127	4	|	|	ADV
ejpam-800	127	5	−g1	−g1	VERB
ejpam-800	127	6	.	.	PUNCT
ejpam-800	127	7	.	.	PUNCT
ejpam-800	127	8	.	.	PUNCT
ejpam-800	128	1	|σn−	|σn−	NUM
ejpam-800	128	2	θ	θ	PROPN
ejpam-800	129	1	|	|	ADV
ejpam-800	129	2	−gn	−gn	INTJ
ejpam-800	129	3	,	,	PUNCT
ejpam-800	129	4	(	(	PUNCT
ejpam-800	129	5	19	19	NUM
ejpam-800	129	6	)	)	PUNCT
ejpam-800	129	7	and	and	CCONJ
ejpam-800	129	8	(	(	PUNCT
ejpam-800	129	9	18	18	NUM
ejpam-800	129	10	)	)	PUNCT
ejpam-800	129	11	is	be	AUX
ejpam-800	129	12	obtained	obtain	VERB
ejpam-800	129	13	by	by	ADP
ejpam-800	129	14	inverting	invert	VERB
ejpam-800	129	15	(	(	PUNCT
ejpam-800	129	16	19	19	NUM
ejpam-800	129	17	)	)	PUNCT
ejpam-800	129	18	,	,	PUNCT
ejpam-800	129	19	see	see	VERB
ejpam-800	129	20	e.g.	e.g.	ADV
ejpam-800	129	21	,	,	PUNCT
ejpam-800	129	22	[	[	X
ejpam-800	129	23	4	4	NUM
ejpam-800	129	24	]	]	PUNCT
ejpam-800	129	25	,	,	PUNCT
ejpam-800	129	26	[	[	X
ejpam-800	129	27	5	5	NUM
ejpam-800	129	28	,	,	PUNCT
ejpam-800	129	29	p.	p.	NOUN
ejpam-800	129	30	352	352	NUM
ejpam-800	129	31	,	,	PUNCT
ejpam-800	129	32	equation	equation	NOUN
ejpam-800	129	33	5.5.29	5.5.29	NUM
ejpam-800	129	34	]	]	PUNCT
ejpam-800	129	35	.	.	PUNCT
ejpam-800	130	1	if	if	SCONJ
ejpam-800	130	2	now	now	ADV
ejpam-800	130	3	x	x	X
ejpam-800	130	4	p×	p×	NOUN
ejpam-800	130	5	p	p	NOUN
ejpam-800	130	6	has	have	VERB
ejpam-800	130	7	the	the	DET
ejpam-800	130	8	density	density	NOUN
ejpam-800	130	9	g(x	g(x	NOUN
ejpam-800	130	10	)	)	PUNCT
ejpam-800	131	1	=	=	PUNCT
ejpam-800	131	2	k	k	X
ejpam-800	132	1	exp{−	exp{−	VERB
ejpam-800	132	2	1	1	NUM
ejpam-800	132	3	2	2	NUM
ejpam-800	132	4	t	t	NOUN
ejpam-800	132	5	r(xλx	r(xλx	NOUN
ejpam-800	132	6	′)},−∞	′)},−∞	ADP
ejpam-800	132	7	<	<	X
ejpam-800	132	8	x	x	X
ejpam-800	132	9	<	<	X
ejpam-800	132	10	∞	∞	PROPN
ejpam-800	132	11	,	,	PUNCT
ejpam-800	132	12	(	(	PUNCT
ejpam-800	132	13	20	20	NUM
ejpam-800	132	14	)	)	PUNCT
ejpam-800	132	15	then	then	ADV
ejpam-800	132	16	the	the	DET
ejpam-800	132	17	moment	moment	NOUN
ejpam-800	132	18	generating	generate	VERB
ejpam-800	132	19	function	function	NOUN
ejpam-800	132	20	m(θ	m(θ	NOUN
ejpam-800	132	21	)	)	PUNCT
ejpam-800	132	22	of	of	ADP
ejpam-800	132	23	t	t	PROPN
ejpam-800	132	24	=	=	PUNCT
ejpam-800	133	1	x	x	PUNCT
ejpam-800	133	2	x	x	X
ejpam-800	133	3	′	′	NOUN
ejpam-800	133	4	is	be	AUX
ejpam-800	133	5	m(θ	m(θ	PROPN
ejpam-800	133	6	)	)	PUNCT
ejpam-800	133	7	=	=	SYM
ejpam-800	133	8	|λ1i	|λ1i	PROPN
ejpam-800	133	9	−	−	PROPN
ejpam-800	133	10	θ	θ	PROPN
ejpam-800	133	11	|−1/2	|−1/2	ADJ
ejpam-800	133	12	.	.	PUNCT
ejpam-800	133	13	.	.	PUNCT
ejpam-800	133	14	.	.	PUNCT
ejpam-800	134	1	|λni	|λni	ADV
ejpam-800	135	1	−	−	NOUN
ejpam-800	135	2	θ	θ	PROPN
ejpam-800	135	3	|−1/2	|−1/2	PROPN
ejpam-800	135	4	,	,	PUNCT
ejpam-800	135	5	(	(	PUNCT
ejpam-800	135	6	21	21	NUM
ejpam-800	135	7	)	)	PUNCT
ejpam-800	135	8	and	and	CCONJ
ejpam-800	135	9	hence	hence	ADV
ejpam-800	135	10	from	from	ADP
ejpam-800	135	11	(	(	PUNCT
ejpam-800	135	12	18	18	NUM
ejpam-800	135	13	)	)	PUNCT
ejpam-800	135	14	,	,	PUNCT
ejpam-800	135	15	the	the	DET
ejpam-800	135	16	density	density	NOUN
ejpam-800	135	17	function	function	NOUN
ejpam-800	135	18	of	of	ADP
ejpam-800	135	19	the	the	DET
ejpam-800	135	20	gqfcwd	gqfcwd	NOUN
ejpam-800	135	21	of	of	ADP
ejpam-800	135	22	t	t	PROPN
ejpam-800	135	23	is	be	AUX
ejpam-800	135	24	g(t	g(t	PROPN
ejpam-800	135	25	)	)	PUNCT
ejpam-800	136	1	=	=	PUNCT
ejpam-800	136	2	k	k	X
ejpam-800	137	1	exp{−	exp{−	VERB
ejpam-800	137	2	1	1	NUM
ejpam-800	137	3	2	2	NUM
ejpam-800	137	4	t	t	NOUN
ejpam-800	137	5	r(t	r(t	NOUN
ejpam-800	137	6	)	)	PUNCT
ejpam-800	137	7	}	}	PUNCT
ejpam-800	137	8	|t	|t	VERB
ejpam-800	138	1	|	|	ADV
ejpam-800	138	2	1	1	NUM
ejpam-800	138	3	2	2	NUM
ejpam-800	138	4	(	(	PUNCT
ejpam-800	138	5	n−p−1	n−p−1	NUM
ejpam-800	138	6	)	)	PUNCT
ejpam-800	138	7	1f1	1f1	NUM
ejpam-800	138	8	(	(	PUNCT
ejpam-800	138	9	1	1	NUM
ejpam-800	138	10	2	2	NUM
ejpam-800	138	11	(	(	PUNCT
ejpam-800	138	12	n−	n−	NOUN
ejpam-800	138	13	1	1	NUM
ejpam-800	138	14	)	)	PUNCT
ejpam-800	138	15	;	;	PUNCT
ejpam-800	138	16	1	1	NUM
ejpam-800	138	17	2	2	NUM
ejpam-800	138	18	n	n	NUM
ejpam-800	138	19	;	;	PUNCT
ejpam-800	138	20	(	(	PUNCT
ejpam-800	138	21	(	(	PUNCT
ejpam-800	138	22	n−	n−	NOUN
ejpam-800	138	23	1)λ1−λ2	1)λ1−λ2	NUM
ejpam-800	138	24	−	−	PROPN
ejpam-800	138	25	·	·	PUNCT
ejpam-800	138	26	·	·	PUNCT
ejpam-800	138	27	·	·	PUNCT
ejpam-800	139	1	−λn)t	−λn)t	PUNCT
ejpam-800	139	2	)	)	PUNCT
ejpam-800	139	3	.	.	PUNCT
ejpam-800	140	1	(	(	PUNCT
ejpam-800	140	2	22	22	NUM
ejpam-800	140	3	)	)	PUNCT
ejpam-800	140	4	now	now	ADV
ejpam-800	140	5	[	[	X
ejpam-800	140	6	3	3	X
ejpam-800	140	7	]	]	PUNCT
ejpam-800	140	8	proves	prove	VERB
ejpam-800	140	9	the	the	DET
ejpam-800	140	10	following	follow	VERB
ejpam-800	140	11	results	result	NOUN
ejpam-800	140	12	.	.	PUNCT
ejpam-800	141	1	let	let	VERB
ejpam-800	141	2	p	p	PRON
ejpam-800	141	3	×	×	VERB
ejpam-800	141	4	n	n	CCONJ
ejpam-800	141	5	y	y	NOUN
ejpam-800	141	6	,	,	PUNCT
ejpam-800	141	7	−∞	−∞	X
ejpam-800	141	8	<	<	X
ejpam-800	141	9	x	x	X
ejpam-800	141	10	<	<	X
ejpam-800	141	11	∞	∞	PROPN
ejpam-800	141	12	and	and	CCONJ
ejpam-800	141	13	q×	q×	PROPN
ejpam-800	141	14	n	n	PRON
ejpam-800	141	15	d	d	PROPN
ejpam-800	141	16	of	of	ADP
ejpam-800	141	17	rank	rank	NOUN
ejpam-800	141	18	d	d	PART
ejpam-800	141	19	be	be	AUX
ejpam-800	141	20	given	give	VERB
ejpam-800	141	21	,	,	PUNCT
ejpam-800	141	22	then	then	ADV
ejpam-800	141	23	we	we	PRON
ejpam-800	141	24	have	have	VERB
ejpam-800	141	25	that	that	PRON
ejpam-800	141	26	∫	∫	PROPN
ejpam-800	142	1	y	y	PROPN
ejpam-800	142	2	y	y	PROPN
ejpam-800	142	3	′=t	′=t	PROPN
ejpam-800	142	4	,	,	PUNCT
ejpam-800	142	5	dy	dy	X
ejpam-800	142	6	′=v	′=v	NOUN
ejpam-800	143	1	′	′	NUM
ejpam-800	143	2	f	f	NOUN
ejpam-800	143	3	(	(	PUNCT
ejpam-800	143	4	y	y	PROPN
ejpam-800	143	5	y	y	PROPN
ejpam-800	143	6	′	′	PROPN
ejpam-800	143	7	,	,	PUNCT
ejpam-800	143	8	dy	dy	NOUN
ejpam-800	143	9	′)dy	′)dy	NOUN
ejpam-800	144	1	=	=	SYM
ejpam-800	144	2	k	k	PROPN
ejpam-800	144	3	|dd′|	|dd′|	X
ejpam-800	144	4	−1	−1	NOUN
ejpam-800	144	5	2	2	NUM
ejpam-800	144	6	p	p	NOUN
ejpam-800	144	7	f	f	X
ejpam-800	144	8	(	(	PUNCT
ejpam-800	144	9	t	t	PROPN
ejpam-800	144	10	,	,	PUNCT
ejpam-800	144	11	v	v	NOUN
ejpam-800	144	12	)	)	PUNCT
ejpam-800	144	13	|t	|t	PROPN
ejpam-800	145	1	−	−	PROPN
ejpam-800	145	2	v	v	NOUN
ejpam-800	145	3	(	(	PUNCT
ejpam-800	145	4	dd′)−1v	dd′)−1v	X
ejpam-800	145	5	′|	′|	NUM
ejpam-800	145	6	1	1	NUM
ejpam-800	145	7	2	2	NUM
ejpam-800	145	8	(	(	PUNCT
ejpam-800	145	9	n−q−p−1	n−q−p−1	NOUN
ejpam-800	145	10	)	)	PUNCT
ejpam-800	145	11	.	.	PUNCT
ejpam-800	146	1	(	(	PUNCT
ejpam-800	146	2	23	23	NUM
ejpam-800	146	3	)	)	PUNCT
ejpam-800	146	4	next	next	ADV
ejpam-800	146	5	from	from	ADP
ejpam-800	146	6	(	(	PUNCT
ejpam-800	146	7	23	23	NUM
ejpam-800	146	8	)	)	PUNCT
ejpam-800	146	9	it	it	PRON
ejpam-800	146	10	follows	follow	VERB
ejpam-800	146	11	that	that	SCONJ
ejpam-800	146	12	∫	∫	PROPN
ejpam-800	146	13	x	x	SYM
ejpam-800	147	1	x	x	SYM
ejpam-800	147	2	′=t	′=t	NOUN
ejpam-800	147	3	=	=	NOUN
ejpam-800	147	4	f	f	X
ejpam-800	147	5	f	f	PROPN
ejpam-800	147	6	′+v	′+v	PROPN
ejpam-800	148	1	(	(	PUNCT
ejpam-800	148	2	µλ2µ′)−1v	µλ2µ′)−1v	PROPN
ejpam-800	148	3	′,µλx	′,µλx	PROPN
ejpam-800	148	4	′=v	′=v	PROPN
ejpam-800	149	1	′	′	NUM
ejpam-800	149	2	exp{−	exp{−	VERB
ejpam-800	149	3	1	1	NUM
ejpam-800	149	4	2	2	NUM
ejpam-800	149	5	t	t	NOUN
ejpam-800	149	6	r(xλx	r(xλx	NOUN
ejpam-800	149	7	′	′	NUM
ejpam-800	149	8	)	)	PUNCT
ejpam-800	150	1	+	+	NUM
ejpam-800	150	2	t	t	NOUN
ejpam-800	150	3	r(µλx	r(µλx	NOUN
ejpam-800	150	4	′)}dx	′)}dx	NOUN
ejpam-800	150	5	=	=	PUNCT
ejpam-800	151	1	k	k	PROPN
ejpam-800	151	2	∫	∫	PROPN
ejpam-800	151	3	exp{−	exp{−	VERB
ejpam-800	151	4	1	1	NUM
ejpam-800	151	5	2	2	NUM
ejpam-800	151	6	t	t	NOUN
ejpam-800	151	7	r(t	r(t	NOUN
ejpam-800	151	8	)	)	PUNCT
ejpam-800	152	1	+	+	CCONJ
ejpam-800	152	2	t	t	PRON
ejpam-800	152	3	r(v	r(v	PROPN
ejpam-800	152	4	)	)	PUNCT
ejpam-800	152	5	}	}	PUNCT
ejpam-800	152	6	|t	|t	VERB
ejpam-800	152	7	−	−	PROPN
ejpam-800	152	8	v	v	NOUN
ejpam-800	152	9	(	(	PUNCT
ejpam-800	152	10	µλ2µ′)−1v	µλ2µ′)−1v	INTJ
ejpam-800	152	11	′|	′|	NUM
ejpam-800	152	12	1	1	NUM
ejpam-800	152	13	2	2	NUM
ejpam-800	152	14	(	(	PUNCT
ejpam-800	152	15	n−2p−1)dv	n−2p−1)dv	NOUN
ejpam-800	152	16	a.	a.	PROPN
ejpam-800	152	17	gupta	gupta	PROPN
ejpam-800	152	18	,	,	PUNCT
ejpam-800	152	19	d.	d.	PROPN
ejpam-800	152	20	kabe	kabe	PROPN
ejpam-800	152	21	,	,	PUNCT
ejpam-800	152	22	s	s	VERB
ejpam-800	152	23	niwitpong	niwitpong	PROPN
ejpam-800	152	24	/	/	SYM
ejpam-800	152	25	eur	eur	PROPN
ejpam-800	152	26	.	.	PUNCT
ejpam-800	153	1	j.	j.	PROPN
ejpam-800	153	2	pure	pure	PROPN
ejpam-800	153	3	appl	appl	PROPN
ejpam-800	153	4	.	.	PROPN
ejpam-800	153	5	math	math	PROPN
ejpam-800	153	6	,	,	PUNCT
ejpam-800	153	7	3	3	NUM
ejpam-800	153	8	(	(	PUNCT
ejpam-800	153	9	2010	2010	NUM
ejpam-800	153	10	)	)	PUNCT
ejpam-800	153	11	,	,	PUNCT
ejpam-800	153	12	435	435	NUM
ejpam-800	153	13	-	-	SYM
ejpam-800	153	14	442	442	NUM
ejpam-800	153	15	440	440	NUM
ejpam-800	153	16	1f1	1f1	NUM
ejpam-800	153	17	(	(	PUNCT
ejpam-800	153	18	1	1	NUM
ejpam-800	153	19	2	2	NUM
ejpam-800	153	20	(	(	PUNCT
ejpam-800	153	21	n−	n−	NOUN
ejpam-800	153	22	1	1	NUM
ejpam-800	153	23	)	)	PUNCT
ejpam-800	153	24	;	;	PUNCT
ejpam-800	153	25	1	1	NUM
ejpam-800	153	26	2	2	NUM
ejpam-800	153	27	n	n	NUM
ejpam-800	153	28	;	;	PUNCT
ejpam-800	153	29	1	1	NUM
ejpam-800	153	30	2	2	NUM
ejpam-800	153	31	(	(	PUNCT
ejpam-800	153	32	(	(	PUNCT
ejpam-800	153	33	n−	n−	NOUN
ejpam-800	153	34	1)λ1−λ2−	1)λ1−λ2−	NOUN
ejpam-800	153	35	·	·	PUNCT
ejpam-800	153	36	·	·	PUNCT
ejpam-800	153	37	·	·	PUNCT
ejpam-800	153	38	−λn)t	−λn)t	PUNCT
ejpam-800	153	39	)	)	PUNCT
ejpam-800	153	40	)	)	PUNCT
ejpam-800	154	1	=	=	PUNCT
ejpam-800	154	2	k	k	NOUN
ejpam-800	155	1	exp{−	exp{−	VERB
ejpam-800	155	2	1	1	NUM
ejpam-800	155	3	2	2	NUM
ejpam-800	155	4	t	t	NOUN
ejpam-800	155	5	r(t	r(t	NOUN
ejpam-800	155	6	)	)	PUNCT
ejpam-800	155	7	}	}	PUNCT
ejpam-800	155	8	|t	|t	VERB
ejpam-800	156	1	|	|	ADV
ejpam-800	156	2	1	1	NUM
ejpam-800	156	3	2	2	NUM
ejpam-800	156	4	(	(	PUNCT
ejpam-800	156	5	n−p−1	n−p−1	NUM
ejpam-800	156	6	)	)	PUNCT
ejpam-800	156	7	1f1	1f1	NUM
ejpam-800	156	8	(	(	PUNCT
ejpam-800	156	9	1	1	NUM
ejpam-800	156	10	2	2	NUM
ejpam-800	156	11	(	(	PUNCT
ejpam-800	156	12	n−	n−	NOUN
ejpam-800	156	13	1	1	NUM
ejpam-800	156	14	)	)	PUNCT
ejpam-800	156	15	;	;	PUNCT
ejpam-800	156	16	1	1	NUM
ejpam-800	156	17	2	2	NUM
ejpam-800	156	18	n	n	NUM
ejpam-800	156	19	;	;	PUNCT
ejpam-800	156	20	1	1	NUM
ejpam-800	156	21	2	2	NUM
ejpam-800	156	22	(	(	PUNCT
ejpam-800	156	23	(	(	PUNCT
ejpam-800	156	24	n−	n−	NOUN
ejpam-800	156	25	1)λ1−λ2−	1)λ1−λ2−	NOUN
ejpam-800	156	26	·	·	PUNCT
ejpam-800	156	27	·	·	PUNCT
ejpam-800	156	28	·	·	PUNCT
ejpam-800	157	1	−λn)t	−λn)t	PUNCT
ejpam-800	157	2	)	)	PUNCT
ejpam-800	157	3	)	)	PUNCT
ejpam-800	158	1	of1	of1	NOUN
ejpam-800	158	2	(	(	PUNCT
ejpam-800	158	3	1	1	NUM
ejpam-800	158	4	2	2	NUM
ejpam-800	158	5	n	n	NUM
ejpam-800	158	6	;	;	PUNCT
ejpam-800	158	7	1	1	NUM
ejpam-800	158	8	4	4	NUM
ejpam-800	158	9	µλ2µ′t	µλ2µ′t	ADV
ejpam-800	158	10	)	)	PUNCT
ejpam-800	158	11	,	,	PUNCT
ejpam-800	158	12	(	(	PUNCT
ejpam-800	158	13	24	24	NUM
ejpam-800	158	14	)	)	PUNCT
ejpam-800	158	15	which	which	PRON
ejpam-800	158	16	is	be	AUX
ejpam-800	158	17	known	know	VERB
ejpam-800	158	18	as	as	ADP
ejpam-800	158	19	(	(	PUNCT
ejpam-800	158	20	gqncwd	gqncwd	NOUN
ejpam-800	158	21	)	)	PUNCT
ejpam-800	158	22	.	.	PUNCT
ejpam-800	159	1	the	the	DET
ejpam-800	159	2	integration	integration	NOUN
ejpam-800	159	3	with	with	ADP
ejpam-800	159	4	respect	respect	NOUN
ejpam-800	159	5	to	to	ADP
ejpam-800	159	6	v	v	NOUN
ejpam-800	159	7	is	be	AUX
ejpam-800	159	8	a	a	DET
ejpam-800	159	9	known	know	VERB
ejpam-800	159	10	integral	integral	NOUN
ejpam-800	159	11	in	in	ADP
ejpam-800	159	12	the	the	DET
ejpam-800	159	13	theory	theory	NOUN
ejpam-800	159	14	of	of	ADP
ejpam-800	159	15	noncentral	noncentral	ADJ
ejpam-800	159	16	wishart	wishart	NOUN
ejpam-800	159	17	distribution	distribution	NOUN
ejpam-800	159	18	.	.	PUNCT
ejpam-800	160	1	here	here	ADV
ejpam-800	160	2	f	f	PROPN
ejpam-800	160	3	is	be	AUX
ejpam-800	160	4	p×	p×	PROPN
ejpam-800	160	5	(	(	PUNCT
ejpam-800	160	6	n−	n−	NOUN
ejpam-800	160	7	p	p	NOUN
ejpam-800	160	8	)	)	PUNCT
ejpam-800	160	9	matrix	matrix	NOUN
ejpam-800	160	10	of	of	ADP
ejpam-800	160	11	rank	rank	NOUN
ejpam-800	160	12	(	(	PUNCT
ejpam-800	160	13	n	n	CCONJ
ejpam-800	160	14	-	-	PUNCT
ejpam-800	160	15	p	p	NOUN
ejpam-800	160	16	)	)	PUNCT
ejpam-800	160	17	,	,	PUNCT
ejpam-800	160	18	and	and	CCONJ
ejpam-800	160	19	the	the	DET
ejpam-800	160	20	integral	integral	ADJ
ejpam-800	160	21	is	be	AUX
ejpam-800	160	22	first	first	ADV
ejpam-800	160	23	evaluated	evaluate	VERB
ejpam-800	160	24	with	with	ADP
ejpam-800	160	25	respect	respect	NOUN
ejpam-800	160	26	to	to	ADP
ejpam-800	160	27	f	f	PROPN
ejpam-800	160	28	and	and	CCONJ
ejpam-800	160	29	then	then	ADV
ejpam-800	160	30	with	with	ADP
ejpam-800	160	31	respect	respect	NOUN
ejpam-800	160	32	to	to	ADP
ejpam-800	160	33	v	v	NOUN
ejpam-800	160	34	.	.	PUNCT
ejpam-800	161	1	we	we	PRON
ejpam-800	161	2	now	now	ADV
ejpam-800	161	3	proceed	proceed	VERB
ejpam-800	161	4	with	with	ADP
ejpam-800	161	5	d	d	NOUN
ejpam-800	161	6	statistic	statistic	NOUN
ejpam-800	161	7	generalizations	generalization	NOUN
ejpam-800	161	8	.	.	PUNCT
ejpam-800	162	1	all	all	DET
ejpam-800	162	2	other	other	ADJ
ejpam-800	162	3	results	result	NOUN
ejpam-800	162	4	given	give	VERB
ejpam-800	162	5	by	by	ADP
ejpam-800	162	6	[	[	X
ejpam-800	162	7	6	6	NUM
ejpam-800	162	8	,	,	PUNCT
ejpam-800	162	9	chapter	chapter	NOUN
ejpam-800	162	10	5	5	NUM
ejpam-800	162	11	]	]	PUNCT
ejpam-800	162	12	relating	relate	VERB
ejpam-800	162	13	to	to	ADP
ejpam-800	162	14	the	the	DET
ejpam-800	162	15	gqfncwd	gqfncwd	NOUN
ejpam-800	162	16	can	can	AUX
ejpam-800	162	17	be	be	AUX
ejpam-800	162	18	simply	simply	ADV
ejpam-800	162	19	and	and	CCONJ
ejpam-800	162	20	elegantly	elegantly	ADV
ejpam-800	162	21	rewritten	rewrite	VERB
ejpam-800	162	22	by	by	ADP
ejpam-800	162	23	our	our	PRON
ejpam-800	162	24	methodology	methodology	NOUN
ejpam-800	162	25	.	.	PUNCT
ejpam-800	163	1	3	3	X
ejpam-800	163	2	.	.	X
ejpam-800	163	3	d	d	PRON
ejpam-800	163	4	statistic	statistic	ADJ
ejpam-800	163	5	generalizations	generalization	NOUN
ejpam-800	163	6	we	we	PRON
ejpam-800	163	7	observe	observe	VERB
ejpam-800	163	8	from	from	ADP
ejpam-800	163	9	(	(	PUNCT
ejpam-800	163	10	10	10	NUM
ejpam-800	163	11	)	)	PUNCT
ejpam-800	164	1	that	that	SCONJ
ejpam-800	164	2	e(d	e(d	PROPN
ejpam-800	164	3	g	g	PROPN
ejpam-800	164	4	)	)	PUNCT
ejpam-800	164	5	=	=	SYM
ejpam-800	164	6	k	k	PROPN
ejpam-800	164	7	�	�	PROPN
ejpam-800	164	8	d	d	PROPN
ejpam-800	164	9	dθ	dθ	PROPN
ejpam-800	164	10	�	�	PROPN
ejpam-800	164	11	g	g	PROPN
ejpam-800	164	12	θ=0	θ=0	PROPN
ejpam-800	164	13	∫	∫	PROPN
ejpam-800	164	14	hh′=i	hh′=i	PROPN
ejpam-800	164	15	exp{t	exp{t	PROPN
ejpam-800	164	16	r(θhλh	r(θhλh	NOUN
ejpam-800	164	17	′)}dh	′)}dh	NUM
ejpam-800	164	18	=	=	SYM
ejpam-800	164	19	k	k	PROPN
ejpam-800	164	20	�	�	PROPN
ejpam-800	165	1	d	d	PROPN
ejpam-800	165	2	dθ	dθ	PROPN
ejpam-800	165	3	�	�	PROPN
ejpam-800	165	4	g	g	PROPN
ejpam-800	165	5	θ=0	θ=0	PROPN
ejpam-800	165	6	1f1	1f1	NUM
ejpam-800	165	7	1	1	NUM
ejpam-800	165	8	2	2	NUM
ejpam-800	165	9	(	(	PUNCT
ejpam-800	165	10	n−	n−	NOUN
ejpam-800	165	11	1	1	NUM
ejpam-800	165	12	)	)	PUNCT
ejpam-800	165	13	;	;	PUNCT
ejpam-800	165	14	1	1	NUM
ejpam-800	165	15	2	2	NUM
ejpam-800	165	16	n	n	NUM
ejpam-800	165	17	;	;	PUNCT
ejpam-800	165	18	(	(	PUNCT
ejpam-800	165	19	(	(	PUNCT
ejpam-800	165	20	n−	n−	NOUN
ejpam-800	165	21	1)λ1−	1)λ1−	PROPN
ejpam-800	165	22	·	·	PUNCT
ejpam-800	165	23	·	·	PUNCT
ejpam-800	165	24	·	·	PUNCT
ejpam-800	166	1	−λn)θ	−λn)θ	NUM
ejpam-800	166	2	)	)	PUNCT
ejpam-800	166	3	)	)	PUNCT
ejpam-800	166	4	.	.	PUNCT
ejpam-800	167	1	(	(	PUNCT
ejpam-800	167	2	25	25	NUM
ejpam-800	167	3	)	)	PUNCT
ejpam-800	167	4	mathai	mathai	PROPN
ejpam-800	167	5	et	et	PROPN
ejpam-800	167	6	al	al	PROPN
ejpam-800	167	7	.	.	PUNCT
ejpam-800	168	1	[	[	X
ejpam-800	168	2	6	6	NUM
ejpam-800	168	3	,	,	PUNCT
ejpam-800	168	4	p.	p.	NOUN
ejpam-800	168	5	302	302	NUM
ejpam-800	168	6	]	]	PUNCT
ejpam-800	168	7	show	show	VERB
ejpam-800	168	8	that	that	SCONJ
ejpam-800	168	9	�	�	PROPN
ejpam-800	168	10	d	d	PROPN
ejpam-800	168	11	dθ	dθ	PROPN
ejpam-800	168	12	�	�	PROPN
ejpam-800	168	13	g	g	PROPN
ejpam-800	168	14	1f1(α;β	1f1(α;β	NUM
ejpam-800	168	15	;	;	PUNCT
ejpam-800	168	16	θ	θ	X
ejpam-800	168	17	)	)	PUNCT
ejpam-800	168	18	=	=	PUNCT
ejpam-800	169	1	γp(α+	γp(α+	DET
ejpam-800	169	2	g	g	NOUN
ejpam-800	169	3	)	)	PUNCT
ejpam-800	169	4	γp(β	γp(β	PUNCT
ejpam-800	170	1	+	+	CCONJ
ejpam-800	170	2	g	g	NOUN
ejpam-800	170	3	)	)	PUNCT
ejpam-800	170	4	1f1(α+	1f1(α+	NUM
ejpam-800	170	5	g;β	g;β	NOUN
ejpam-800	170	6	+	+	CCONJ
ejpam-800	170	7	g;θ	g;θ	NUM
ejpam-800	170	8	)	)	PUNCT
ejpam-800	170	9	,	,	PUNCT
ejpam-800	170	10	(	(	PUNCT
ejpam-800	170	11	26	26	NUM
ejpam-800	170	12	)	)	PUNCT
ejpam-800	170	13	and	and	CCONJ
ejpam-800	170	14	hence	hence	ADV
ejpam-800	170	15	(	(	PUNCT
ejpam-800	170	16	25	25	NUM
ejpam-800	170	17	)	)	PUNCT
ejpam-800	170	18	yields	yield	NOUN
ejpam-800	170	19	e(d)g	e(d)g	PROPN
ejpam-800	170	20	=	=	PUNCT
ejpam-800	171	1	k((n−	k((n−	PROPN
ejpam-800	171	2	1)λ1−λ2	1)λ1−λ2	NUM
ejpam-800	171	3	−	−	PROPN
ejpam-800	171	4	·	·	PUNCT
ejpam-800	171	5	·	·	PUNCT
ejpam-800	171	6	·	·	PUNCT
ejpam-800	171	7	−λn	−λn	X
ejpam-800	171	8	)	)	PUNCT
ejpam-800	171	9	pg	pg	VERB
ejpam-800	171	10	γp	γp	PROPN
ejpam-800	171	11	(	(	PUNCT
ejpam-800	171	12	1	1	NUM
ejpam-800	171	13	2	2	NUM
ejpam-800	171	14	(	(	PUNCT
ejpam-800	171	15	n−	n−	NOUN
ejpam-800	171	16	1	1	NUM
ejpam-800	171	17	)	)	PUNCT
ejpam-800	171	18	+	+	CCONJ
ejpam-800	171	19	g	g	NOUN
ejpam-800	171	20	)	)	PUNCT
ejpam-800	171	21	γp	γp	PROPN
ejpam-800	171	22	(	(	PUNCT
ejpam-800	171	23	1	1	NUM
ejpam-800	171	24	2	2	NUM
ejpam-800	171	25	n+	n+	ADP
ejpam-800	171	26	g	g	NOUN
ejpam-800	171	27	)	)	PUNCT
ejpam-800	171	28	.	.	PUNCT
ejpam-800	172	1	(	(	PUNCT
ejpam-800	172	2	27	27	NUM
ejpam-800	172	3	)	)	PUNCT
ejpam-800	172	4	it	it	PRON
ejpam-800	172	5	follows	follow	VERB
ejpam-800	172	6	from	from	ADP
ejpam-800	172	7	(	(	PUNCT
ejpam-800	172	8	27	27	NUM
ejpam-800	172	9	)	)	PUNCT
ejpam-800	172	10	that	that	SCONJ
ejpam-800	172	11	(	(	PUNCT
ejpam-800	172	12	5	5	X
ejpam-800	172	13	)	)	PUNCT
ejpam-800	172	14	may	may	AUX
ejpam-800	172	15	be	be	AUX
ejpam-800	172	16	written	write	VERB
ejpam-800	172	17	as	as	ADP
ejpam-800	172	18	e(d)g	e(d)g	PROPN
ejpam-800	172	19	=	=	SYM
ejpam-800	172	20	�	�	PROPN
ejpam-800	172	21	1	1	NUM
ejpam-800	172	22	2	2	NUM
ejpam-800	172	23	�	�	NOUN
ejpam-800	172	24	g	g	PROPN
ejpam-800	172	25	c(g)(λ	c(g)(λ	NOUN
ejpam-800	172	26	)	)	PUNCT
ejpam-800	173	1	â	â	PROPN
ejpam-800	173	2	�	�	PROPN
ejpam-800	173	3	m	m	VERB
ejpam-800	173	4	2	2	NUM
ejpam-800	173	5	�	�	NOUN
ejpam-800	173	6	g	g	NOUN
ejpam-800	173	7	=	=	SYM
ejpam-800	173	8	γ(1	γ(1	PROPN
ejpam-800	173	9	2	2	NUM
ejpam-800	173	10	(	(	PUNCT
ejpam-800	173	11	m−	m−	PROPN
ejpam-800	173	12	1)g)((m−	1)g)((m−	PROPN
ejpam-800	173	13	1)λ1−	1)λ1−	PROPN
ejpam-800	173	14	·	·	PUNCT
ejpam-800	173	15	·	·	PUNCT
ejpam-800	173	16	·	·	PUNCT
ejpam-800	173	17	−λm	−λm	X
ejpam-800	173	18	)	)	PUNCT
ejpam-800	173	19	g	g	NOUN
ejpam-800	173	20	γ(1	γ(1	PROPN
ejpam-800	173	21	2	2	NUM
ejpam-800	173	22	m+	m+	NUM
ejpam-800	173	23	g	g	NOUN
ejpam-800	173	24	)	)	PUNCT
ejpam-800	173	25	(	(	PUNCT
ejpam-800	173	26	28	28	NUM
ejpam-800	173	27	)	)	PUNCT
ejpam-800	173	28	further	far	ADV
ejpam-800	173	29	it	it	PRON
ejpam-800	173	30	follows	follow	VERB
ejpam-800	173	31	from	from	ADP
ejpam-800	173	32	(	(	PUNCT
ejpam-800	173	33	9	9	NUM
ejpam-800	173	34	)	)	PUNCT
ejpam-800	173	35	that	that	DET
ejpam-800	173	36	e(d)g	e(d)g	PROPN
ejpam-800	173	37	=	=	SYM
ejpam-800	173	38	�	�	PROPN
ejpam-800	173	39	p	p	PROPN
ejpam-800	173	40	2	2	NUM
ejpam-800	173	41	�	�	NOUN
ejpam-800	173	42	g	g	PROPN
ejpam-800	173	43	c(g)(λ	c(g)(λ	NOUN
ejpam-800	173	44	)	)	PUNCT
ejpam-800	173	45	â	â	PROPN
ejpam-800	173	46	�	�	PROPN
ejpam-800	173	47	pm	pm	NOUN
ejpam-800	173	48	2	2	NUM
ejpam-800	173	49	�	�	PROPN
ejpam-800	173	50	g	g	NOUN
ejpam-800	173	51	references	reference	NOUN
ejpam-800	173	52	441	441	NUM
ejpam-800	173	53	=	=	SYM
ejpam-800	173	54	γ(1	γ(1	ADJ
ejpam-800	173	55	2	2	NUM
ejpam-800	173	56	(	(	PUNCT
ejpam-800	173	57	m−	m−	PROPN
ejpam-800	173	58	1)p+	1)p+	NUM
ejpam-800	173	59	g)((m−	g)((m−	PROPN
ejpam-800	173	60	1)λ1−	1)λ1−	NUM
ejpam-800	173	61	·	·	PUNCT
ejpam-800	173	62	·	·	PUNCT
ejpam-800	174	1	·	·	PUNCT
ejpam-800	174	2	−λm	−λm	X
ejpam-800	174	3	)	)	PUNCT
ejpam-800	174	4	g	g	NOUN
ejpam-800	174	5	γ(1	γ(1	PROPN
ejpam-800	174	6	2	2	NUM
ejpam-800	174	7	mp+	mp+	NOUN
ejpam-800	174	8	g	g	NOUN
ejpam-800	174	9	)	)	PUNCT
ejpam-800	174	10	(	(	PUNCT
ejpam-800	174	11	29	29	NUM
ejpam-800	174	12	)	)	PUNCT
ejpam-800	174	13	once	once	ADV
ejpam-800	174	14	again	again	ADV
ejpam-800	174	15	we	we	PRON
ejpam-800	174	16	write	write	VERB
ejpam-800	174	17	kabe	kabe	PROPN
ejpam-800	174	18	’s	’s	PART
ejpam-800	174	19	[	[	X
ejpam-800	174	20	2	2	NUM
ejpam-800	174	21	]	]	PUNCT
ejpam-800	174	22	result	result	NOUN
ejpam-800	174	23	as	as	ADP
ejpam-800	174	24	g(t	g(t	PROPN
ejpam-800	174	25	)	)	PUNCT
ejpam-800	174	26	=	=	SYM
ejpam-800	175	1	∫	∫	PROPN
ejpam-800	175	2	y1+···+yn	y1+···+yn	PROPN
ejpam-800	175	3	=	=	PROPN
ejpam-800	175	4	t	t	PROPN
ejpam-800	175	5	exp{−(λ1	exp{−(λ1	NOUN
ejpam-800	175	6	y1	y1	PROPN
ejpam-800	175	7	+	+	X
ejpam-800	175	8	·	·	PUNCT
ejpam-800	175	9	·	·	PUNCT
ejpam-800	175	10	·	·	PUNCT
ejpam-800	175	11	+	+	ADP
ejpam-800	175	12	λn	λn	PROPN
ejpam-800	175	13	yn)}y	yn)}y	X
ejpam-800	175	14	g1−1	g1−1	PROPN
ejpam-800	175	15	1	1	NUM
ejpam-800	175	16	.	.	PUNCT
ejpam-800	175	17	.	.	PUNCT
ejpam-800	175	18	.	.	PUNCT
ejpam-800	176	1	y	y	PROPN
ejpam-800	176	2	gn−1	gn−1	PROPN
ejpam-800	176	3	n	n	PROPN
ejpam-800	176	4	d	d	PROPN
ejpam-800	176	5	y1	y1	PROPN
ejpam-800	176	6	.	.	PUNCT
ejpam-800	176	7	.	.	PUNCT
ejpam-800	176	8	.	.	PUNCT
ejpam-800	177	1	d	d	X
ejpam-800	177	2	yn	yn	NOUN
ejpam-800	177	3	=	=	SYM
ejpam-800	177	4	k	k	PROPN
ejpam-800	177	5	exp{−t}t	exp{−t}t	NOUN
ejpam-800	177	6	g1+···+gn−1	g1+···+gn−1	PROPN
ejpam-800	177	7	1f1(g2	1f1(g2	NUM
ejpam-800	177	8	+	+	CCONJ
ejpam-800	177	9	·	·	PUNCT
ejpam-800	177	10	·	·	PUNCT
ejpam-800	177	11	·	·	PUNCT
ejpam-800	178	1	+	+	NUM
ejpam-800	178	2	gn	gn	PROPN
ejpam-800	178	3	;	;	PUNCT
ejpam-800	178	4	g1	g1	PROPN
ejpam-800	178	5	+	+	X
ejpam-800	178	6	·	·	PUNCT
ejpam-800	178	7	·	·	PUNCT
ejpam-800	178	8	·	·	PUNCT
ejpam-800	179	1	+	+	NUM
ejpam-800	180	1	gn	gn	X
ejpam-800	180	2	;	;	PUNCT
ejpam-800	180	3	(	(	PUNCT
ejpam-800	180	4	(	(	PUNCT
ejpam-800	180	5	n−	n−	NOUN
ejpam-800	180	6	1)λ1−	1)λ1−	PROPN
ejpam-800	180	7	·	·	PUNCT
ejpam-800	180	8	·	·	PUNCT
ejpam-800	180	9	·	·	PUNCT
ejpam-800	180	10	−λn)t	−λn)t	NUM
ejpam-800	180	11	)	)	PUNCT
ejpam-800	180	12	(	(	PUNCT
ejpam-800	180	13	30	30	NUM
ejpam-800	180	14	)	)	PUNCT
ejpam-800	180	15	and	and	CCONJ
ejpam-800	180	16	hence	hence	ADV
ejpam-800	180	17	∫	∫	PROPN
ejpam-800	181	1	y1+···+yn=1	y1+···+yn=1	PROPN
ejpam-800	181	2	(	(	PUNCT
ejpam-800	181	3	λ1	λ1	PROPN
ejpam-800	181	4	y1	y1	NOUN
ejpam-800	181	5	+	+	X
ejpam-800	181	6	·	·	PUNCT
ejpam-800	181	7	·	·	PUNCT
ejpam-800	181	8	·	·	PUNCT
ejpam-800	182	1	+	+	ADJ
ejpam-800	182	2	λn	λn	PROPN
ejpam-800	182	3	yn	yn	PROPN
ejpam-800	182	4	)	)	PUNCT
ejpam-800	182	5	g	g	PROPN
ejpam-800	182	6	y	y	PROPN
ejpam-800	182	7	g1−1	g1−1	PROPN
ejpam-800	182	8	1	1	NUM
ejpam-800	182	9	.	.	PUNCT
ejpam-800	182	10	.	.	PUNCT
ejpam-800	182	11	.	.	PUNCT
ejpam-800	183	1	y	y	PROPN
ejpam-800	183	2	gn−1	gn−1	PROPN
ejpam-800	183	3	n	n	PROPN
ejpam-800	183	4	d	d	PROPN
ejpam-800	183	5	y1	y1	PROPN
ejpam-800	183	6	.	.	PUNCT
ejpam-800	183	7	.	.	PUNCT
ejpam-800	183	8	.	.	PUNCT
ejpam-800	184	1	d	d	X
ejpam-800	184	2	yn	yn	X
ejpam-800	184	3	=	=	PUNCT
ejpam-800	184	4	k	k	PROPN
ejpam-800	184	5	γ(g2	γ(g2	X
ejpam-800	184	6	+	+	CCONJ
ejpam-800	184	7	·	·	PUNCT
ejpam-800	184	8	·	·	PUNCT
ejpam-800	184	9	·	·	PUNCT
ejpam-800	185	1	+	+	NUM
ejpam-800	185	2	gn+	gn+	ADJ
ejpam-800	185	3	g	g	PROPN
ejpam-800	185	4	γ(g1	γ(g1	PROPN
ejpam-800	185	5	+	+	CCONJ
ejpam-800	185	6	·	·	PUNCT
ejpam-800	185	7	·	·	PUNCT
ejpam-800	185	8	·	·	PUNCT
ejpam-800	185	9	+	+	NUM
ejpam-800	185	10	gn+	gn+	ADJ
ejpam-800	185	11	g	g	NOUN
ejpam-800	185	12	)	)	PUNCT
ejpam-800	185	13	(	(	PUNCT
ejpam-800	185	14	(	(	PUNCT
ejpam-800	185	15	n−	n−	NOUN
ejpam-800	185	16	1)λ1−	1)λ1−	PROPN
ejpam-800	185	17	·	·	PUNCT
ejpam-800	185	18	·	·	PUNCT
ejpam-800	185	19	·	·	PUNCT
ejpam-800	185	20	−λn	−λn	NUM
ejpam-800	185	21	)	)	PUNCT
ejpam-800	185	22	)	)	PUNCT
ejpam-800	186	1	g	g	NOUN
ejpam-800	186	2	.	.	PUNCT
ejpam-800	186	3	similar	similar	ADJ
ejpam-800	186	4	to	to	ADP
ejpam-800	186	5	(	(	PUNCT
ejpam-800	186	6	16	16	NUM
ejpam-800	186	7	)	)	PUNCT
ejpam-800	186	8	it	it	PRON
ejpam-800	186	9	holds	hold	VERB
ejpam-800	186	10	that	that	SCONJ
ejpam-800	186	11	1f1(a	1f1(a	NUM
ejpam-800	186	12	;	;	PUNCT
ejpam-800	187	1	b;∆a)1f1(c	b;∆a)1f1(c	PROPN
ejpam-800	187	2	;	;	PUNCT
ejpam-800	187	3	d;ωb	d;ωb	PROPN
ejpam-800	187	4	)	)	PUNCT
ejpam-800	187	5	=	=	SYM
ejpam-800	188	1	1f1(a+	1f1(a+	NUM
ejpam-800	188	2	c	c	NOUN
ejpam-800	188	3	;	;	PUNCT
ejpam-800	188	4	b+	b+	X
ejpam-800	188	5	d	d	X
ejpam-800	188	6	;	;	PUNCT
ejpam-800	188	7	(	(	PUNCT
ejpam-800	188	8	∆+ω)(a+	∆+ω)(a+	NOUN
ejpam-800	188	9	b	b	NOUN
ejpam-800	188	10	)	)	PUNCT
ejpam-800	188	11	)	)	PUNCT
ejpam-800	188	12	and	and	CCONJ
ejpam-800	188	13	hence	hence	ADV
ejpam-800	188	14	∫	∫	PROPN
ejpam-800	189	1	a+b	a+b	NUM
ejpam-800	189	2	=	=	SYM
ejpam-800	189	3	d	d	NOUN
ejpam-800	189	4	exp{−	exp{−	PUNCT
ejpam-800	189	5	1	1	NUM
ejpam-800	189	6	2	2	NUM
ejpam-800	189	7	t	t	NOUN
ejpam-800	189	8	r(a+	r(a+	NOUN
ejpam-800	189	9	b)}|a|	b)}|a|	NOUN
ejpam-800	189	10	1	1	NUM
ejpam-800	189	11	2	2	NUM
ejpam-800	189	12	(	(	PUNCT
ejpam-800	189	13	n−p−1)|b|	n−p−1)|b|	X
ejpam-800	189	14	1	1	NUM
ejpam-800	189	15	2	2	NUM
ejpam-800	189	16	(	(	PUNCT
ejpam-800	189	17	q−b−1	q−b−1	PROPN
ejpam-800	189	18	)	)	PUNCT
ejpam-800	189	19	1	1	NUM
ejpam-800	189	20	f1	f1	NOUN
ejpam-800	189	21	(	(	PUNCT
ejpam-800	189	22	1	1	NUM
ejpam-800	189	23	2	2	NUM
ejpam-800	189	24	(	(	PUNCT
ejpam-800	189	25	n−	n−	NOUN
ejpam-800	189	26	1	1	NUM
ejpam-800	189	27	)	)	PUNCT
ejpam-800	189	28	;	;	PUNCT
ejpam-800	189	29	1	1	NUM
ejpam-800	189	30	2	2	NUM
ejpam-800	189	31	n;λa	n;λa	NOUN
ejpam-800	189	32	)	)	PUNCT
ejpam-800	189	33	1f1	1f1	NUM
ejpam-800	189	34	(	(	PUNCT
ejpam-800	189	35	1	1	NUM
ejpam-800	189	36	2	2	NUM
ejpam-800	189	37	(	(	PUNCT
ejpam-800	189	38	q−	q−	PROPN
ejpam-800	189	39	1	1	NUM
ejpam-800	189	40	)	)	PUNCT
ejpam-800	189	41	;	;	PUNCT
ejpam-800	189	42	1	1	NUM
ejpam-800	189	43	2	2	NUM
ejpam-800	189	44	q;θb)of1	q;θb)of1	PROPN
ejpam-800	189	45	(	(	PUNCT
ejpam-800	189	46	1	1	NUM
ejpam-800	189	47	2	2	NUM
ejpam-800	189	48	n	n	NUM
ejpam-800	189	49	;	;	PUNCT
ejpam-800	189	50	1	1	NUM
ejpam-800	189	51	4	4	NUM
ejpam-800	189	52	∆a)of1	∆a)of1	PROPN
ejpam-800	189	53	(	(	PUNCT
ejpam-800	189	54	1	1	NUM
ejpam-800	189	55	2	2	NUM
ejpam-800	189	56	q;ωb)dadb	q;ωb)dadb	NOUN
ejpam-800	189	57	=	=	SYM
ejpam-800	189	58	k	k	NOUN
ejpam-800	189	59	exp	exp	NOUN
ejpam-800	189	60	{	{	PUNCT
ejpam-800	189	61	1	1	NUM
ejpam-800	189	62	2	2	NUM
ejpam-800	189	63	t	t	NOUN
ejpam-800	189	64	r(d)}|d|	r(d)}|d|	NOUN
ejpam-800	189	65	1	1	NUM
ejpam-800	189	66	2	2	NUM
ejpam-800	189	67	(	(	PUNCT
ejpam-800	189	68	n−q−b−1	n−q−b−1	PROPN
ejpam-800	189	69	)	)	PUNCT
ejpam-800	189	70	1f1	1f1	NUM
ejpam-800	189	71	(	(	PUNCT
ejpam-800	189	72	1	1	NUM
ejpam-800	189	73	2	2	NUM
ejpam-800	189	74	(	(	PUNCT
ejpam-800	189	75	n+	n+	NUM
ejpam-800	189	76	q−	q−	PROPN
ejpam-800	189	77	2	2	NUM
ejpam-800	189	78	)	)	PUNCT
ejpam-800	189	79	;	;	PUNCT
ejpam-800	189	80	1	1	NUM
ejpam-800	189	81	2	2	NUM
ejpam-800	189	82	(	(	PUNCT
ejpam-800	189	83	n+	n+	NOUN
ejpam-800	189	84	q	q	NOUN
ejpam-800	189	85	)	)	PUNCT
ejpam-800	189	86	;	;	PUNCT
ejpam-800	189	87	(	(	PUNCT
ejpam-800	189	88	∆+	∆+	NUM
ejpam-800	189	89	θ)d	θ)d	NOUN
ejpam-800	189	90	)	)	PUNCT
ejpam-800	189	91	of1	of1	NOUN
ejpam-800	189	92	(	(	PUNCT
ejpam-800	189	93	1	1	NUM
ejpam-800	189	94	2	2	NUM
ejpam-800	189	95	(	(	PUNCT
ejpam-800	189	96	n+	n+	NOUN
ejpam-800	189	97	q	q	NOUN
ejpam-800	189	98	)	)	PUNCT
ejpam-800	189	99	;	;	PUNCT
ejpam-800	189	100	1	1	NUM
ejpam-800	189	101	4	4	NUM
ejpam-800	189	102	(	(	PUNCT
ejpam-800	189	103	∆+ω)d	∆+ω)d	NOUN
ejpam-800	189	104	)	)	PUNCT
ejpam-800	189	105	.	.	PUNCT
ejpam-800	190	1	references	reference	NOUN
ejpam-800	190	2	[	[	X
ejpam-800	190	3	1	1	X
ejpam-800	190	4	]	]	PUNCT
ejpam-800	190	5	a	a	DET
ejpam-800	190	6	gupta	gupta	PROPN
ejpam-800	190	7	and	and	CCONJ
ejpam-800	190	8	d	d	ADP
ejpam-800	190	9	nagar	nagar	NOUN
ejpam-800	190	10	.	.	PUNCT
ejpam-800	190	11	matrix	matrix	NOUN
ejpam-800	190	12	variate	variate	NOUN
ejpam-800	190	13	distributions	distribution	NOUN
ejpam-800	190	14	.	.	PUNCT
ejpam-800	191	1	chapman	chapman	PROPN
ejpam-800	191	2	&	&	CCONJ
ejpam-800	191	3	hall	hall	PROPN
ejpam-800	191	4	/	/	SYM
ejpam-800	191	5	crc	crc	PROPN
ejpam-800	191	6	,	,	PUNCT
ejpam-800	191	7	boca	boca	PROPN
ejpam-800	191	8	raton	raton	PROPN
ejpam-800	191	9	,	,	PUNCT
ejpam-800	191	10	2000	2000	NUM
ejpam-800	191	11	.	.	PUNCT
ejpam-800	192	1	[	[	X
ejpam-800	192	2	2	2	NUM
ejpam-800	192	3	]	]	X
ejpam-800	192	4	d	d	X
ejpam-800	192	5	kabe	kabe	NOUN
ejpam-800	192	6	.	.	PUNCT
ejpam-800	193	1	on	on	ADP
ejpam-800	193	2	the	the	DET
ejpam-800	193	3	exact	exact	ADJ
ejpam-800	193	4	distribution	distribution	NOUN
ejpam-800	193	5	of	of	ADP
ejpam-800	193	6	a	a	DET
ejpam-800	193	7	class	class	NOUN
ejpam-800	193	8	of	of	ADP
ejpam-800	193	9	multivariate	multivariate	NOUN
ejpam-800	193	10	test	test	NOUN
ejpam-800	193	11	criteria	criterion	NOUN
ejpam-800	193	12	.	.	PUNCT
ejpam-800	194	1	annals	annal	NOUN
ejpam-800	194	2	of	of	ADP
ejpam-800	194	3	mathematical	mathematical	ADJ
ejpam-800	194	4	statistics	statistic	NOUN
ejpam-800	194	5	,	,	PUNCT
ejpam-800	194	6	61:1197–1200	61:1197–1200	NUM
ejpam-800	194	7	,	,	PUNCT
ejpam-800	194	8	1962	1962	NUM
ejpam-800	194	9	.	.	PUNCT
ejpam-800	195	1	[	[	X
ejpam-800	195	2	3	3	X
ejpam-800	195	3	]	]	X
ejpam-800	195	4	d	d	X
ejpam-800	195	5	kabe	kabe	NOUN
ejpam-800	195	6	.	.	PUNCT
ejpam-800	196	1	generalization	generalization	NOUN
ejpam-800	196	2	of	of	ADP
ejpam-800	196	3	suerdrup	suerdrup	NOUN
ejpam-800	196	4	’s	’s	PART
ejpam-800	196	5	lamma	lamma	PROPN
ejpam-800	196	6	and	and	CCONJ
ejpam-800	196	7	its	its	PRON
ejpam-800	196	8	applications	application	NOUN
ejpam-800	196	9	to	to	PART
ejpam-800	196	10	multivariate	multivariate	VERB
ejpam-800	196	11	distribution	distribution	NOUN
ejpam-800	196	12	theory	theory	NOUN
ejpam-800	196	13	.	.	PUNCT
ejpam-800	197	1	annals	annal	NOUN
ejpam-800	197	2	of	of	ADP
ejpam-800	197	3	mathematical	mathematical	ADJ
ejpam-800	197	4	statistics	statistic	NOUN
ejpam-800	197	5	,	,	PUNCT
ejpam-800	197	6	36:671–676	36:671–676	NUM
ejpam-800	197	7	,	,	PUNCT
ejpam-800	197	8	1965	1965	NUM
ejpam-800	197	9	.	.	PUNCT
ejpam-800	198	1	[	[	X
ejpam-800	198	2	4	4	NUM
ejpam-800	198	3	]	]	X
ejpam-800	198	4	d	d	X
ejpam-800	198	5	kabe	kabe	ADJ
ejpam-800	198	6	.	.	PUNCT
ejpam-800	199	1	hypergeometric	hypergeometric	ADJ
ejpam-800	199	2	functions	function	NOUN
ejpam-800	199	3	of	of	ADP
ejpam-800	199	4	marix	marix	ADJ
ejpam-800	199	5	argument	argument	NOUN
ejpam-800	199	6	.	.	PUNCT
ejpam-800	200	1	industrial	industrial	ADJ
ejpam-800	200	2	mathematics	mathematic	NOUN
ejpam-800	200	3	,	,	PUNCT
ejpam-800	200	4	41:125	41:125	NUM
ejpam-800	200	5	–	–	PUNCT
ejpam-800	200	6	136	136	NUM
ejpam-800	200	7	,	,	PUNCT
ejpam-800	200	8	1991	1991	NUM
ejpam-800	200	9	.	.	PUNCT
ejpam-800	201	1	references	reference	NOUN
ejpam-800	201	2	442	442	NUM
ejpam-800	202	1	[	[	X
ejpam-800	202	2	5	5	NUM
ejpam-800	202	3	]	]	PUNCT
ejpam-800	202	4	a	a	DET
ejpam-800	202	5	mathai	mathai	PROPN
ejpam-800	202	6	.	.	PUNCT
ejpam-800	203	1	jacobians	jacobian	NOUN
ejpam-800	203	2	of	of	ADP
ejpam-800	203	3	matrix	matrix	NOUN
ejpam-800	203	4	transformations	transformation	NOUN
ejpam-800	203	5	and	and	CCONJ
ejpam-800	203	6	functions	function	NOUN
ejpam-800	203	7	of	of	ADP
ejpam-800	203	8	matrix	matrix	NOUN
ejpam-800	203	9	argument	argument	NOUN
ejpam-800	203	10	.	.	PUNCT
ejpam-800	204	1	world	world	PROPN
ejpam-800	204	2	scientific	scientific	PROPN
ejpam-800	204	3	,	,	PUNCT
ejpam-800	204	4	london	london	PROPN
ejpam-800	204	5	,	,	PUNCT
ejpam-800	204	6	england	england	PROPN
ejpam-800	204	7	,	,	PUNCT
ejpam-800	204	8	1997	1997	NUM
ejpam-800	204	9	.	.	PUNCT
ejpam-800	205	1	[	[	X
ejpam-800	205	2	6	6	NUM
ejpam-800	205	3	]	]	PUNCT
ejpam-800	205	4	a	a	DET
ejpam-800	205	5	mathai	mathai	PROPN
ejpam-800	205	6	,	,	PUNCT
ejpam-800	205	7	s	s	PART
ejpam-800	205	8	provost	provost	NOUN
ejpam-800	205	9	,	,	PUNCT
ejpam-800	205	10	and	and	CCONJ
ejpam-800	205	11	t	t	PROPN
ejpam-800	205	12	hayakawa	hayakawa	PROPN
ejpam-800	205	13	.	.	PUNCT
ejpam-800	206	1	bilinear	bilinear	PROPN
ejpam-800	206	2	forms	form	NOUN
ejpam-800	206	3	and	and	CCONJ
ejpam-800	206	4	zonal	zonal	ADJ
ejpam-800	206	5	polynomials	polynomial	NOUN
ejpam-800	206	6	.	.	PUNCT
ejpam-800	207	1	springerverlag	springerverlag	PROPN
ejpam-800	207	2	,	,	PUNCT
ejpam-800	207	3	new	new	PROPN
ejpam-800	207	4	york	york	PROPN
ejpam-800	207	5	,	,	PUNCT
ejpam-800	207	6	1995	1995	NUM
ejpam-800	207	7	.	.	PUNCT