id	sid	tid	token	lemma	pos
ejpam-802	1	1	11_xxx_chen.dvi	11_xxx_chen.dvi	NUM
ejpam-802	1	2	european	european	ADJ
ejpam-802	1	3	journal	journal	NOUN
ejpam-802	1	4	of	of	ADP
ejpam-802	1	5	pure	pure	ADJ
ejpam-802	1	6	and	and	CCONJ
ejpam-802	1	7	applied	apply	VERB
ejpam-802	1	8	mathematics	mathematic	NOUN
ejpam-802	1	9	vol	vol	NOUN
ejpam-802	1	10	.	.	PUNCT
ejpam-802	2	1	3	3	NUM
ejpam-802	2	2	,	,	PUNCT
ejpam-802	2	3	no	no	INTJ
ejpam-802	2	4	.	.	NOUN
ejpam-802	2	5	3	3	NUM
ejpam-802	2	6	,	,	PUNCT
ejpam-802	2	7	2010	2010	NUM
ejpam-802	2	8	,	,	PUNCT
ejpam-802	2	9	531	531	NUM
ejpam-802	2	10	-	-	SYM
ejpam-802	2	11	540	540	NUM
ejpam-802	2	12	issn	issn	PROPN
ejpam-802	2	13	1307	1307	NUM
ejpam-802	2	14	-	-	SYM
ejpam-802	2	15	5543	5543	NUM
ejpam-802	2	16	–	–	PUNCT
ejpam-802	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-802	2	18	special	special	ADJ
ejpam-802	2	19	issue	issue	NOUN
ejpam-802	2	20	on	on	ADP
ejpam-802	2	21	granger	granger	PROPN
ejpam-802	2	22	econometrics	econometric	NOUN
ejpam-802	2	23	and	and	CCONJ
ejpam-802	2	24	statistical	statistical	ADJ
ejpam-802	2	25	modeling	modeling	NOUN
ejpam-802	2	26	dedicated	dedicate	VERB
ejpam-802	2	27	to	to	ADP
ejpam-802	2	28	the	the	DET
ejpam-802	2	29	memory	memory	NOUN
ejpam-802	2	30	of	of	ADP
ejpam-802	2	31	prof	prof	NOUN
ejpam-802	2	32	.	.	PUNCT
ejpam-802	3	1	sir	sir	PROPN
ejpam-802	3	2	clive	clive	PROPN
ejpam-802	3	3	w.j	w.j	PROPN
ejpam-802	4	1	.	.	PROPN
ejpam-802	4	2	granger	granger	PROPN
ejpam-802	5	1	a	a	DET
ejpam-802	5	2	new	new	ADJ
ejpam-802	5	3	skew	skew	ADJ
ejpam-802	5	4	-	-	PUNCT
ejpam-802	5	5	normal	normal	ADJ
ejpam-802	5	6	model	model	NOUN
ejpam-802	5	7	for	for	ADP
ejpam-802	5	8	the	the	DET
ejpam-802	5	9	application	application	NOUN
ejpam-802	5	10	-	-	PUNCT
ejpam-802	5	11	oriented	orient	VERB
ejpam-802	5	12	skew	skew	NOUN
ejpam-802	5	13	-	-	PUNCT
ejpam-802	5	14	t	t	NOUN
ejpam-802	5	15	model	model	NOUN
ejpam-802	5	16	john	john	PROPN
ejpam-802	5	17	t.	t.	PROPN
ejpam-802	5	18	chen	chen	PROPN
ejpam-802	5	19	department	department	PROPN
ejpam-802	5	20	of	of	ADP
ejpam-802	5	21	mathematics	mathematics	PROPN
ejpam-802	5	22	and	and	CCONJ
ejpam-802	5	23	statistics	statistic	NOUN
ejpam-802	5	24	,	,	PUNCT
ejpam-802	5	25	bowling	bowl	VERB
ejpam-802	5	26	green	green	ADJ
ejpam-802	5	27	state	state	PROPN
ejpam-802	5	28	university	university	PROPN
ejpam-802	5	29	,	,	PUNCT
ejpam-802	5	30	bowling	bowling	NOUN
ejpam-802	5	31	green	green	NOUN
ejpam-802	5	32	,	,	PUNCT
ejpam-802	5	33	ohio	ohio	PROPN
ejpam-802	5	34	43403	43403	NUM
ejpam-802	5	35	abstract	abstract	NOUN
ejpam-802	5	36	.	.	PUNCT
ejpam-802	6	1	among	among	ADP
ejpam-802	6	2	many	many	ADJ
ejpam-802	6	3	papers	paper	NOUN
ejpam-802	6	4	of	of	ADP
ejpam-802	6	5	professor	professor	PROPN
ejpam-802	6	6	clive	clive	PROPN
ejpam-802	6	7	w.	w.	PROPN
ejpam-802	6	8	j.	j.	PROPN
ejpam-802	6	9	granger	granger	PROPN
ejpam-802	6	10	,	,	PUNCT
ejpam-802	6	11	the	the	DET
ejpam-802	6	12	one	one	NOUN
ejpam-802	6	13	that	that	PRON
ejpam-802	6	14	strongly	strongly	ADV
ejpam-802	6	15	draws	draw	VERB
ejpam-802	6	16	my	my	PRON
ejpam-802	6	17	attention	attention	NOUN
ejpam-802	6	18	is	be	AUX
ejpam-802	6	19	his	his	PRON
ejpam-802	6	20	work	work	NOUN
ejpam-802	6	21	[	[	X
ejpam-802	6	22	7	7	X
ejpam-802	6	23	]	]	PUNCT
ejpam-802	6	24	using	use	VERB
ejpam-802	6	25	the	the	DET
ejpam-802	6	26	skew	skew	NOUN
ejpam-802	6	27	-	-	PUNCT
ejpam-802	6	28	t	t	NOUN
ejpam-802	6	29	model	model	NOUN
ejpam-802	6	30	to	to	PART
ejpam-802	6	31	analyze	analyze	VERB
ejpam-802	6	32	common	common	ADJ
ejpam-802	6	33	factors	factor	NOUN
ejpam-802	6	34	in	in	ADP
ejpam-802	6	35	conditional	conditional	ADJ
ejpam-802	6	36	distributions	distribution	NOUN
ejpam-802	6	37	for	for	ADP
ejpam-802	6	38	bivariate	bivariate	ADJ
ejpam-802	6	39	time	time	NOUN
ejpam-802	6	40	series	series	NOUN
ejpam-802	6	41	.	.	PUNCT
ejpam-802	7	1	different	different	ADJ
ejpam-802	7	2	from	from	ADP
ejpam-802	7	3	many	many	ADJ
ejpam-802	7	4	existing	exist	VERB
ejpam-802	7	5	versions	version	NOUN
ejpam-802	7	6	of	of	ADP
ejpam-802	7	7	theory	theory	NOUN
ejpam-802	7	8	-	-	PUNCT
ejpam-802	7	9	oriented	orient	VERB
ejpam-802	7	10	skew	skew	NOUN
ejpam-802	7	11	-	-	PUNCT
ejpam-802	7	12	t	t	NOUN
ejpam-802	7	13	models	model	NOUN
ejpam-802	7	14	,	,	PUNCT
ejpam-802	7	15	the	the	DET
ejpam-802	7	16	skew	skew	NOUN
ejpam-802	7	17	-	-	PUNCT
ejpam-802	7	18	t	t	NOUN
ejpam-802	7	19	model	model	NOUN
ejpam-802	7	20	that	that	PRON
ejpam-802	7	21	professor	professor	PROPN
ejpam-802	7	22	granger	granger	PROPN
ejpam-802	7	23	and	and	CCONJ
ejpam-802	7	24	his	his	PRON
ejpam-802	7	25	collaborators	collaborator	NOUN
ejpam-802	7	26	used	use	VERB
ejpam-802	7	27	was	be	AUX
ejpam-802	7	28	directly	directly	ADV
ejpam-802	7	29	motivated	motivate	VERB
ejpam-802	7	30	by	by	ADP
ejpam-802	7	31	applications	application	NOUN
ejpam-802	7	32	in	in	ADP
ejpam-802	7	33	analyzing	analyze	VERB
ejpam-802	7	34	economics	economic	NOUN
ejpam-802	7	35	data	datum	NOUN
ejpam-802	7	36	.	.	PUNCT
ejpam-802	8	1	this	this	DET
ejpam-802	8	2	application	application	NOUN
ejpam-802	8	3	-	-	PUNCT
ejpam-802	8	4	oriented	orient	VERB
ejpam-802	8	5	skew	skew	NOUN
ejpam-802	8	6	-	-	PUNCT
ejpam-802	8	7	t	t	NOUN
ejpam-802	8	8	model	model	NOUN
ejpam-802	8	9	has	have	VERB
ejpam-802	8	10	discernible	discernible	ADJ
ejpam-802	8	11	features	feature	NOUN
ejpam-802	8	12	on	on	ADP
ejpam-802	8	13	enabling	enable	VERB
ejpam-802	8	14	model	model	NOUN
ejpam-802	8	15	flexibility	flexibility	NOUN
ejpam-802	8	16	and	and	CCONJ
ejpam-802	8	17	keeping	keep	VERB
ejpam-802	8	18	the	the	DET
ejpam-802	8	19	practical	practical	ADJ
ejpam-802	8	20	standardizing	standardize	VERB
ejpam-802	8	21	conditions	condition	NOUN
ejpam-802	8	22	[	[	X
ejpam-802	8	23	10	10	NUM
ejpam-802	8	24	]	]	PUNCT
ejpam-802	8	25	.	.	PUNCT
ejpam-802	9	1	on	on	ADP
ejpam-802	9	2	the	the	DET
ejpam-802	9	3	other	other	ADJ
ejpam-802	9	4	hand	hand	NOUN
ejpam-802	9	5	,	,	PUNCT
ejpam-802	9	6	the	the	DET
ejpam-802	9	7	skew	skew	NOUN
ejpam-802	9	8	-	-	PUNCT
ejpam-802	9	9	t	t	NOUN
ejpam-802	9	10	model	model	NOUN
ejpam-802	9	11	is	be	AUX
ejpam-802	9	12	in	in	ADP
ejpam-802	9	13	need	need	NOUN
ejpam-802	9	14	of	of	ADP
ejpam-802	9	15	a	a	DET
ejpam-802	9	16	proper	proper	ADJ
ejpam-802	9	17	statistical	statistical	ADJ
ejpam-802	9	18	justification	justification	NOUN
ejpam-802	9	19	to	to	PART
ejpam-802	9	20	solidify	solidify	VERB
ejpam-802	9	21	its	its	PRON
ejpam-802	9	22	theoretical	theoretical	ADJ
ejpam-802	9	23	foundation	foundation	NOUN
ejpam-802	9	24	.	.	PUNCT
ejpam-802	10	1	in	in	ADP
ejpam-802	10	2	this	this	DET
ejpam-802	10	3	paper	paper	NOUN
ejpam-802	10	4	,	,	PUNCT
ejpam-802	10	5	we	we	PRON
ejpam-802	10	6	initiate	initiate	VERB
ejpam-802	10	7	a	a	DET
ejpam-802	10	8	new	new	ADJ
ejpam-802	10	9	skew	skew	ADJ
ejpam-802	10	10	normal	normal	ADJ
ejpam-802	10	11	family	family	NOUN
ejpam-802	10	12	that	that	PRON
ejpam-802	10	13	enhances	enhance	VERB
ejpam-802	10	14	the	the	DET
ejpam-802	10	15	skew	skew	NOUN
ejpam-802	10	16	-	-	PUNCT
ejpam-802	10	17	t	t	NOUN
ejpam-802	10	18	model	model	NOUN
ejpam-802	10	19	in	in	ADP
ejpam-802	10	20	[	[	X
ejpam-802	10	21	10	10	NUM
ejpam-802	10	22	]	]	PUNCT
ejpam-802	10	23	and	and	CCONJ
ejpam-802	10	24	[	[	X
ejpam-802	10	25	7	7	NUM
ejpam-802	10	26	]	]	PUNCT
ejpam-802	10	27	.	.	PUNCT
ejpam-802	10	28	2000	2000	NUM
ejpam-802	10	29	mathematics	mathematic	NOUN
ejpam-802	10	30	subject	subject	NOUN
ejpam-802	10	31	classifications	classification	NOUN
ejpam-802	10	32	:	:	PUNCT
ejpam-802	10	33	62e15	62e15	NUM
ejpam-802	10	34	,	,	PUNCT
ejpam-802	10	35	62p20	62p20	NUM
ejpam-802	10	36	key	key	ADJ
ejpam-802	10	37	words	word	NOUN
ejpam-802	10	38	and	and	CCONJ
ejpam-802	10	39	phrases	phrase	NOUN
ejpam-802	10	40	:	:	PUNCT
ejpam-802	10	41	skew	skew	VERB
ejpam-802	10	42	normal	normal	ADJ
ejpam-802	10	43	model	model	NOUN
ejpam-802	10	44	,	,	PUNCT
ejpam-802	10	45	student	student	NOUN
ejpam-802	10	46	-	-	PUNCT
ejpam-802	10	47	t	t	NOUN
ejpam-802	10	48	principle	principle	NOUN
ejpam-802	10	49	,	,	PUNCT
ejpam-802	10	50	excess	excess	ADJ
ejpam-802	10	51	kurtosis	kurtosis	NOUN
ejpam-802	10	52	,	,	PUNCT
ejpam-802	10	53	asymmetry	asymmetry	NOUN
ejpam-802	10	54	1	1	NUM
ejpam-802	10	55	.	.	PUNCT
ejpam-802	11	1	introduction	introduction	NOUN
ejpam-802	11	2	granger	granger	NOUN
ejpam-802	12	1	[	[	X
ejpam-802	12	2	6	6	NUM
ejpam-802	12	3	]	]	PUNCT
ejpam-802	12	4	,	,	PUNCT
ejpam-802	12	5	[	[	X
ejpam-802	12	6	7	7	NUM
ejpam-802	12	7	]	]	PUNCT
ejpam-802	12	8	study	study	VERB
ejpam-802	12	9	common	common	ADJ
ejpam-802	12	10	factors	factor	NOUN
ejpam-802	12	11	in	in	ADP
ejpam-802	12	12	conditional	conditional	ADJ
ejpam-802	12	13	distributions	distribution	NOUN
ejpam-802	12	14	for	for	ADP
ejpam-802	12	15	bivariate	bivariate	ADJ
ejpam-802	12	16	time	time	NOUN
ejpam-802	12	17	series	series	NOUN
ejpam-802	12	18	,	,	PUNCT
ejpam-802	12	19	in	in	ADP
ejpam-802	12	20	which	which	PRON
ejpam-802	12	21	two	two	NUM
ejpam-802	12	22	typical	typical	ADJ
ejpam-802	12	23	macro	macro	ADJ
ejpam-802	12	24	-	-	ADJ
ejpam-802	12	25	economic	economic	ADJ
ejpam-802	12	26	variables	variable	NOUN
ejpam-802	12	27	(	(	PUNCT
ejpam-802	12	28	income	income	NOUN
ejpam-802	12	29	and	and	CCONJ
ejpam-802	12	30	consumption	consumption	NOUN
ejpam-802	12	31	)	)	PUNCT
ejpam-802	12	32	are	be	AUX
ejpam-802	12	33	modeled	model	VERB
ejpam-802	12	34	with	with	ADP
ejpam-802	12	35	individual	individual	ADJ
ejpam-802	12	36	growth	growth	NOUN
ejpam-802	12	37	varying	vary	VERB
ejpam-802	12	38	over	over	ADP
ejpam-802	12	39	a	a	DET
ejpam-802	12	40	business	business	NOUN
ejpam-802	12	41	cycle	cycle	NOUN
ejpam-802	12	42	.	.	PUNCT
ejpam-802	13	1	in	in	ADP
ejpam-802	13	2	order	order	NOUN
ejpam-802	13	3	to	to	PART
ejpam-802	13	4	test	test	VERB
ejpam-802	13	5	the	the	DET
ejpam-802	13	6	influence	influence	NOUN
ejpam-802	13	7	of	of	ADP
ejpam-802	13	8	a	a	DET
ejpam-802	13	9	business	business	NOUN
ejpam-802	13	10	cycle	cycle	NOUN
ejpam-802	13	11	index	index	NOUN
ejpam-802	13	12	variable	variable	NOUN
ejpam-802	13	13	over	over	ADP
ejpam-802	13	14	the	the	DET
ejpam-802	13	15	conditional	conditional	ADJ
ejpam-802	13	16	copula	copula	NOUN
ejpam-802	13	17	of	of	ADP
ejpam-802	13	18	income	income	NOUN
ejpam-802	13	19	and	and	CCONJ
ejpam-802	13	20	consumption	consumption	NOUN
ejpam-802	13	21	growth	growth	NOUN
ejpam-802	13	22	,	,	PUNCT
ejpam-802	13	23	[	[	X
ejpam-802	13	24	7	7	X
ejpam-802	13	25	]	]	PUNCT
ejpam-802	13	26	consider	consider	VERB
ejpam-802	13	27	linear	linear	NOUN
ejpam-802	13	28	models	model	NOUN
ejpam-802	13	29	for	for	ADP
ejpam-802	13	30	the	the	DET
ejpam-802	13	31	conditional	conditional	ADJ
ejpam-802	13	32	mean	mean	NOUN
ejpam-802	13	33	of	of	ADP
ejpam-802	13	34	two	two	NUM
ejpam-802	13	35	series	series	NOUN
ejpam-802	13	36	:	:	PUNCT
ejpam-802	13	37	the	the	DET
ejpam-802	13	38	us	us	PROPN
ejpam-802	13	39	real	real	ADJ
ejpam-802	13	40	per	per	ADP
ejpam-802	13	41	capita	capita	X
ejpam-802	13	42	disposable	disposable	ADJ
ejpam-802	13	43	income	income	NOUN
ejpam-802	13	44	and	and	CCONJ
ejpam-802	13	45	us	we	PRON
ejpam-802	13	46	real	real	ADV
ejpam-802	13	47	per	per	ADP
ejpam-802	13	48	capita	capita	X
ejpam-802	13	49	consumption	consumption	NOUN
ejpam-802	13	50	on	on	ADP
ejpam-802	13	51	non	non	NOUN
ejpam-802	13	52	-	-	NOUN
ejpam-802	13	53	durables	durable	NOUN
ejpam-802	13	54	.	.	PUNCT
ejpam-802	14	1	for	for	ADP
ejpam-802	14	2	the	the	DET
ejpam-802	14	3	business	business	NOUN
ejpam-802	14	4	cycle	cycle	NOUN
ejpam-802	14	5	,	,	PUNCT
ejpam-802	14	6	they	they	PRON
ejpam-802	14	7	use	use	VERB
ejpam-802	14	8	the	the	DET
ejpam-802	14	9	[	[	X
ejpam-802	14	10	12	12	NUM
ejpam-802	14	11	]	]	X
ejpam-802	14	12	experimental	experimental	ADJ
ejpam-802	14	13	coincident	coincident	ADJ
ejpam-802	14	14	index	index	NOUN
ejpam-802	14	15	,	,	PUNCT
ejpam-802	14	16	which	which	PRON
ejpam-802	14	17	is	be	AUX
ejpam-802	14	18	a	a	DET
ejpam-802	14	19	business	business	NOUN
ejpam-802	14	20	cycle	cycle	NOUN
ejpam-802	14	21	indicator	indicator	NOUN
ejpam-802	14	22	of	of	ADP
ejpam-802	14	23	the	the	DET
ejpam-802	14	24	two	two	NUM
ejpam-802	14	25	series	series	NOUN
ejpam-802	14	26	.	.	PUNCT
ejpam-802	15	1	more	more	ADJ
ejpam-802	15	2	detail	detail	NOUN
ejpam-802	15	3	and	and	CCONJ
ejpam-802	15	4	the	the	DET
ejpam-802	15	5	data	datum	NOUN
ejpam-802	15	6	can	can	AUX
ejpam-802	15	7	be	be	AUX
ejpam-802	15	8	found	find	VERB
ejpam-802	15	9	from	from	ADP
ejpam-802	15	10	jim	jim	PROPN
ejpam-802	15	11	stock	stock	PROPN
ejpam-802	15	12	’s	’s	PART
ejpam-802	15	13	web	web	NOUN
ejpam-802	15	14	page	page	NOUN
ejpam-802	15	15	(	(	PUNCT
ejpam-802	15	16	http://	http://	PROPN
ejpam-802	15	17	email	email	NOUN
ejpam-802	15	18	address	address	NOUN
ejpam-802	15	19	:	:	PUNCT
ejpam-802	15	20	j	j	PROPN
ejpam-802	15	21	hen�bgnet.bgsu.edu	hen�bgnet.bgsu.edu	VERB
ejpam-802	15	22	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-802	15	23	531	531	NUM
ejpam-802	16	1	c	c	NOUN
ejpam-802	16	2	©	©	PROPN
ejpam-802	16	3	2010	2010	NUM
ejpam-802	16	4	ejpam	ejpam	NOUN
ejpam-802	16	5	all	all	DET
ejpam-802	16	6	rights	right	NOUN
ejpam-802	16	7	reserved	reserve	VERB
ejpam-802	16	8	.	.	PUNCT
ejpam-802	17	1	j.	j.	PROPN
ejpam-802	17	2	chen	chen	PROPN
ejpam-802	17	3	/	/	SYM
ejpam-802	17	4	eur	eur	PROPN
ejpam-802	17	5	.	.	PUNCT
ejpam-802	18	1	j.	j.	PROPN
ejpam-802	18	2	pure	pure	PROPN
ejpam-802	18	3	appl	appl	PROPN
ejpam-802	18	4	.	.	PROPN
ejpam-802	18	5	math	math	PROPN
ejpam-802	18	6	,	,	PUNCT
ejpam-802	18	7	3	3	NUM
ejpam-802	18	8	(	(	PUNCT
ejpam-802	18	9	2010	2010	NUM
ejpam-802	18	10	)	)	PUNCT
ejpam-802	18	11	,	,	PUNCT
ejpam-802	18	12	531	531	NUM
ejpam-802	18	13	-	-	SYM
ejpam-802	18	14	540	540	NUM
ejpam-802	18	15	532ksghome.harvard.edu/jsto	532ksghome.harvard.edu/jsto	NUM
ejpam-802	18	16	k.a	k.a	PROPN
ejpam-802	18	17	ademi	ademi	PROPN
ejpam-802	18	18	.ksg	.ksg	PUNCT
ejpam-802	18	19	/	/	SYM
ejpam-802	18	20	xri/0201	xri/0201	PROPN
ejpam-802	18	21	/	/	SYM
ejpam-802	18	22	xindex.as	xindex.as	NUM
ejpam-802	18	23	)	)	PUNCT
ejpam-802	18	24	.	.	PUNCT
ejpam-802	19	1	for	for	ADP
ejpam-802	19	2	the	the	DET
ejpam-802	19	3	conditional	conditional	ADJ
ejpam-802	19	4	variance	variance	NOUN
ejpam-802	19	5	,	,	PUNCT
ejpam-802	19	6	they	they	PRON
ejpam-802	19	7	apply	apply	VERB
ejpam-802	19	8	the	the	DET
ejpam-802	19	9	autoregressive	autoregressive	ADJ
ejpam-802	19	10	conditional	conditional	ADJ
ejpam-802	19	11	heteroscedasticity	heteroscedasticity	NOUN
ejpam-802	19	12	(	(	PUNCT
ejpam-802	19	13	arch	arch	NOUN
ejpam-802	19	14	)	)	PUNCT
ejpam-802	19	15	model	model	NOUN
ejpam-802	19	16	of	of	ADP
ejpam-802	19	17	[	[	X
ejpam-802	19	18	4	4	NUM
ejpam-802	19	19	]	]	PUNCT
ejpam-802	19	20	.	.	PUNCT
ejpam-802	20	1	considering	consider	VERB
ejpam-802	20	2	excess	excess	ADJ
ejpam-802	20	3	kurtosis	kurtosis	NOUN
ejpam-802	20	4	and	and	CCONJ
ejpam-802	20	5	asymmetry	asymmetry	NOUN
ejpam-802	20	6	,	,	PUNCT
ejpam-802	20	7	[	[	X
ejpam-802	20	8	7	7	X
ejpam-802	20	9	]	]	PUNCT
ejpam-802	20	10	use	use	VERB
ejpam-802	20	11	the	the	DET
ejpam-802	20	12	following	following	ADJ
ejpam-802	20	13	model	model	NOUN
ejpam-802	20	14	with	with	ADP
ejpam-802	20	15	skew	skew	ADJ
ejpam-802	20	16	parameter	parameter	NOUN
ejpam-802	20	17	λ	λ	PROPN
ejpam-802	20	18	and	and	CCONJ
ejpam-802	20	19	degrees	degree	NOUN
ejpam-802	20	20	of	of	ADP
ejpam-802	20	21	freedom	freedom	NOUN
ejpam-802	20	22	v	v	NOUN
ejpam-802	20	23	to	to	PART
ejpam-802	20	24	fit	fit	VERB
ejpam-802	20	25	the	the	DET
ejpam-802	20	26	data	datum	NOUN
ejpam-802	20	27	:	:	PUNCT
ejpam-802	20	28	f	f	PROPN
ejpam-802	20	29	(	(	PUNCT
ejpam-802	20	30	t;λ	t;λ	X
ejpam-802	20	31	,	,	PUNCT
ejpam-802	20	32	v	v	NOUN
ejpam-802	20	33	)	)	PUNCT
ejpam-802	20	34	=	=	SYM
ejpam-802	20	35	(	(	PUNCT
ejpam-802	20	36	bc(1	bc(1	X
ejpam-802	20	37	+	+	NOUN
ejpam-802	20	38	1	1	NUM
ejpam-802	20	39	v−2	v−2	NOUN
ejpam-802	20	40	(	(	PUNCT
ejpam-802	20	41	b	b	NUM
ejpam-802	20	42	y+a	y+a	NUM
ejpam-802	20	43	1−λ	1−λ	NUM
ejpam-802	20	44	)	)	PUNCT
ejpam-802	20	45	2)−(v+1)/2	2)−(v+1)/2	NOUN
ejpam-802	20	46	if	if	SCONJ
ejpam-802	20	47	t	t	AUX
ejpam-802	20	48	≤	≤	VERB
ejpam-802	20	49	−	−	PROPN
ejpam-802	20	50	a	a	DET
ejpam-802	20	51	b	b	NOUN
ejpam-802	20	52	bc(1	bc(1	NOUN
ejpam-802	20	53	+	+	ADJ
ejpam-802	20	54	1	1	NUM
ejpam-802	20	55	v−2	v−2	NOUN
ejpam-802	20	56	(	(	PUNCT
ejpam-802	20	57	b	b	PROPN
ejpam-802	20	58	y+a	y+a	PROPN
ejpam-802	20	59	1+λ	1+λ	NUM
ejpam-802	20	60	)	)	PUNCT
ejpam-802	20	61	2)−(v+1)/2	2)−(v+1)/2	NOUN
ejpam-802	20	62	if	if	SCONJ
ejpam-802	20	63	t	t	PROPN
ejpam-802	20	64	>	>	X
ejpam-802	20	65	−	−	PROPN
ejpam-802	20	66	a	a	DET
ejpam-802	20	67	b	b	PROPN
ejpam-802	20	68	(	(	PUNCT
ejpam-802	20	69	1	1	NUM
ejpam-802	20	70	)	)	PUNCT
ejpam-802	20	71	where	where	SCONJ
ejpam-802	20	72	a	a	DET
ejpam-802	20	73	=	=	X
ejpam-802	20	74	4λc	4λc	NOUN
ejpam-802	20	75	v	v	ADP
ejpam-802	20	76	−	−	PROPN
ejpam-802	20	77	2	2	NUM
ejpam-802	20	78	v	v	NOUN
ejpam-802	20	79	−	−	PROPN
ejpam-802	20	80	1	1	NUM
ejpam-802	20	81	c	c	NOUN
ejpam-802	20	82	=	=	SYM
ejpam-802	20	83	γ	γ	X
ejpam-802	20	84	(	(	PUNCT
ejpam-802	20	85	v+1	v+1	NUM
ejpam-802	20	86	2	2	X
ejpam-802	20	87	)	)	PUNCT
ejpam-802	20	88	γ(v/2	γ(v/2	NOUN
ejpam-802	20	89	)	)	PUNCT
ejpam-802	20	90	p	p	NOUN
ejpam-802	20	91	π(v−	π(v−	NUM
ejpam-802	20	92	2	2	NUM
ejpam-802	20	93	)	)	PUNCT
ejpam-802	20	94	b	b	NOUN
ejpam-802	21	1	=	=	SYM
ejpam-802	21	2	p	p	NOUN
ejpam-802	21	3	1	1	NUM
ejpam-802	21	4	+	+	NUM
ejpam-802	21	5	3λ2−	3λ2−	NUM
ejpam-802	21	6	a2	a2	NOUN
ejpam-802	21	7	.	.	PUNCT
ejpam-802	22	1	(	(	PUNCT
ejpam-802	22	2	2	2	X
ejpam-802	22	3	)	)	PUNCT
ejpam-802	22	4	note	note	NOUN
ejpam-802	22	5	that	that	SCONJ
ejpam-802	22	6	this	this	DET
ejpam-802	22	7	model	model	NOUN
ejpam-802	22	8	maintains	maintain	VERB
ejpam-802	22	9	the	the	DET
ejpam-802	22	10	properties	property	NOUN
ejpam-802	22	11	of	of	ADP
ejpam-802	22	12	zero	zero	NUM
ejpam-802	22	13	mean	mean	NOUN
ejpam-802	22	14	and	and	CCONJ
ejpam-802	22	15	unit	unit	NOUN
ejpam-802	22	16	variance	variance	NOUN
ejpam-802	22	17	of	of	ADP
ejpam-802	22	18	the	the	DET
ejpam-802	22	19	standardized	standardized	ADJ
ejpam-802	22	20	student	student	NOUN
ejpam-802	22	21	-	-	PUNCT
ejpam-802	22	22	t	t	NOUN
ejpam-802	22	23	distribution	distribution	NOUN
ejpam-802	22	24	with	with	ADP
ejpam-802	22	25	a	a	DET
ejpam-802	22	26	skew	skew	ADJ
ejpam-802	22	27	parameter	parameter	NOUN
ejpam-802	22	28	λ	λ	PROPN
ejpam-802	22	29	.	.	PUNCT
ejpam-802	23	1	in	in	ADP
ejpam-802	23	2	the	the	DET
ejpam-802	23	3	statistical	statistical	ADJ
ejpam-802	23	4	literature	literature	NOUN
ejpam-802	23	5	,	,	PUNCT
ejpam-802	23	6	the	the	DET
ejpam-802	23	7	student	student	NOUN
ejpam-802	23	8	-	-	PUNCT
ejpam-802	23	9	t	t	NOUN
ejpam-802	23	10	random	random	ADJ
ejpam-802	23	11	variable	variable	NOUN
ejpam-802	23	12	is	be	AUX
ejpam-802	23	13	constructed	construct	VERB
ejpam-802	23	14	with	with	ADP
ejpam-802	23	15	the	the	DET
ejpam-802	23	16	following	follow	VERB
ejpam-802	23	17	principle	principle	NOUN
ejpam-802	23	18	.	.	PUNCT
ejpam-802	24	1	let	let	VERB
ejpam-802	24	2	x	x	PRON
ejpam-802	24	3	be	be	AUX
ejpam-802	24	4	a	a	DET
ejpam-802	24	5	standard	standard	ADJ
ejpam-802	24	6	normal	normal	ADJ
ejpam-802	24	7	random	random	ADJ
ejpam-802	24	8	variable	variable	NOUN
ejpam-802	24	9	which	which	PRON
ejpam-802	24	10	is	be	AUX
ejpam-802	24	11	independent	independent	ADJ
ejpam-802	24	12	of	of	ADP
ejpam-802	24	13	a	a	DET
ejpam-802	24	14	χ2	χ2	PROPN
ejpam-802	24	15	v	v	ADP
ejpam-802	24	16	random	random	ADJ
ejpam-802	24	17	variable	variable	NOUN
ejpam-802	24	18	,	,	PUNCT
ejpam-802	24	19	y	y	PROPN
ejpam-802	24	20	,	,	PUNCT
ejpam-802	24	21	then	then	ADV
ejpam-802	24	22	the	the	DET
ejpam-802	24	23	ratio	ratio	NOUN
ejpam-802	24	24	xp	xp	INTJ
ejpam-802	24	25	y	y	PROPN
ejpam-802	24	26	/	/	SYM
ejpam-802	24	27	v	v	PROPN
ejpam-802	24	28	is	be	AUX
ejpam-802	24	29	defined	define	VERB
ejpam-802	24	30	as	as	ADP
ejpam-802	24	31	the	the	DET
ejpam-802	24	32	student	student	NOUN
ejpam-802	24	33	-	-	PUNCT
ejpam-802	24	34	t	t	NOUN
ejpam-802	24	35	random	random	ADJ
ejpam-802	24	36	variable	variable	NOUN
ejpam-802	24	37	.	.	PUNCT
ejpam-802	25	1	if	if	SCONJ
ejpam-802	25	2	x	x	PRON
ejpam-802	25	3	is	be	AUX
ejpam-802	25	4	a	a	DET
ejpam-802	25	5	skew	skew	ADJ
ejpam-802	25	6	normal	normal	ADJ
ejpam-802	25	7	model	model	NOUN
ejpam-802	25	8	,	,	PUNCT
ejpam-802	25	9	then	then	ADV
ejpam-802	25	10	the	the	DET
ejpam-802	25	11	ratio	ratio	NOUN
ejpam-802	25	12	xp	xp	INTJ
ejpam-802	25	13	y	y	PROPN
ejpam-802	25	14	/	/	SYM
ejpam-802	25	15	v	v	PROPN
ejpam-802	25	16	is	be	AUX
ejpam-802	25	17	defined	define	VERB
ejpam-802	25	18	as	as	ADP
ejpam-802	25	19	a	a	DET
ejpam-802	25	20	skew	skew	NOUN
ejpam-802	25	21	-	-	PUNCT
ejpam-802	25	22	t	t	NOUN
ejpam-802	25	23	random	random	ADJ
ejpam-802	25	24	variable	variable	NOUN
ejpam-802	25	25	.	.	PUNCT
ejpam-802	26	1	however	however	ADV
ejpam-802	26	2	,	,	PUNCT
ejpam-802	26	3	the	the	DET
ejpam-802	26	4	original	original	ADJ
ejpam-802	26	5	definition	definition	NOUN
ejpam-802	26	6	of	of	ADP
ejpam-802	26	7	model	model	NOUN
ejpam-802	26	8	(	(	PUNCT
ejpam-802	26	9	1	1	NUM
ejpam-802	26	10	)	)	PUNCT
ejpam-802	26	11	as	as	ADP
ejpam-802	26	12	a	a	DET
ejpam-802	26	13	skew	skew	NOUN
ejpam-802	26	14	-	-	PUNCT
ejpam-802	26	15	t	t	NOUN
ejpam-802	26	16	model	model	NOUN
ejpam-802	26	17	is	be	AUX
ejpam-802	26	18	due	due	ADJ
ejpam-802	26	19	to	to	ADP
ejpam-802	26	20	the	the	DET
ejpam-802	26	21	following	follow	VERB
ejpam-802	26	22	consideration	consideration	NOUN
ejpam-802	26	23	[	[	X
ejpam-802	26	24	10]:“to	10]:“to	NUM
ejpam-802	26	25	allow	allow	VERB
ejpam-802	26	26	for	for	ADP
ejpam-802	26	27	a	a	DET
ejpam-802	26	28	richer	rich	ADJ
ejpam-802	26	29	set	set	NOUN
ejpam-802	26	30	of	of	ADP
ejpam-802	26	31	behavior	behavior	NOUN
ejpam-802	26	32	,	,	PUNCT
ejpam-802	26	33	we	we	PRON
ejpam-802	26	34	may	may	AUX
ejpam-802	26	35	need	need	VERB
ejpam-802	26	36	a	a	DET
ejpam-802	26	37	more	more	ADV
ejpam-802	26	38	flexible	flexible	ADJ
ejpam-802	26	39	family	family	NOUN
ejpam-802	26	40	of	of	ADP
ejpam-802	26	41	densities	density	NOUN
ejpam-802	26	42	.	.	PUNCT
ejpam-802	27	1	a	a	DET
ejpam-802	27	2	minimal	minimal	ADJ
ejpam-802	27	3	desirable	desirable	ADJ
ejpam-802	27	4	extension	extension	NOUN
ejpam-802	27	5	is	be	AUX
ejpam-802	27	6	to	to	PART
ejpam-802	27	7	allow	allow	VERB
ejpam-802	27	8	for	for	ADP
ejpam-802	27	9	skewness	skewness	NOUN
ejpam-802	27	10	.	.	PUNCT
ejpam-802	28	1	in	in	ADP
ejpam-802	28	2	order	order	NOUN
ejpam-802	28	3	to	to	PART
ejpam-802	28	4	keep	keep	VERB
ejpam-802	28	5	in	in	ADP
ejpam-802	28	6	the	the	DET
ejpam-802	28	7	arch	arch	ADJ
ejpam-802	28	8	tradition	tradition	NOUN
ejpam-802	28	9	,	,	PUNCT
ejpam-802	28	10	it	it	PRON
ejpam-802	28	11	is	be	AUX
ejpam-802	28	12	also	also	ADV
ejpam-802	28	13	important	important	ADJ
ejpam-802	28	14	to	to	PART
ejpam-802	28	15	have	have	VERB
ejpam-802	28	16	density	density	NOUN
ejpam-802	28	17	functions	function	NOUN
ejpam-802	28	18	which	which	PRON
ejpam-802	28	19	can	can	AUX
ejpam-802	28	20	be	be	AUX
ejpam-802	28	21	easily	easily	ADV
ejpam-802	28	22	parameterized	parameterized	ADJ
ejpam-802	28	23	so	so	SCONJ
ejpam-802	28	24	that	that	SCONJ
ejpam-802	28	25	the	the	DET
ejpam-802	28	26	innovations	innovation	NOUN
ejpam-802	28	27	are	be	AUX
ejpam-802	28	28	mean	mean	ADJ
ejpam-802	28	29	zero	zero	NUM
ejpam-802	28	30	and	and	CCONJ
ejpam-802	28	31	unit	unit	NOUN
ejpam-802	28	32	variance	variance	NOUN
ejpam-802	28	33	.	.	PUNCT
ejpam-802	28	34	”	"	PUNCT
ejpam-802	29	1	thus	thus	ADV
ejpam-802	29	2	the	the	DET
ejpam-802	29	3	beginning	beginning	NOUN
ejpam-802	29	4	of	of	ADP
ejpam-802	29	5	model	model	NOUN
ejpam-802	29	6	(	(	PUNCT
ejpam-802	29	7	1	1	X
ejpam-802	29	8	)	)	PUNCT
ejpam-802	29	9	did	do	AUX
ejpam-802	29	10	not	not	PART
ejpam-802	29	11	follow	follow	VERB
ejpam-802	29	12	the	the	DET
ejpam-802	29	13	standard	standard	ADJ
ejpam-802	29	14	framework	framework	NOUN
ejpam-802	29	15	on	on	ADP
ejpam-802	29	16	the	the	DET
ejpam-802	29	17	definition	definition	NOUN
ejpam-802	29	18	of	of	ADP
ejpam-802	29	19	the	the	DET
ejpam-802	29	20	(	(	PUNCT
ejpam-802	29	21	skew	skew	NOUN
ejpam-802	29	22	)	)	PUNCT
ejpam-802	29	23	student	student	NOUN
ejpam-802	29	24	-	-	PUNCT
ejpam-802	29	25	t	t	NOUN
ejpam-802	29	26	statistic	statistic	NOUN
ejpam-802	29	27	:	:	PUNCT
ejpam-802	29	28	a	a	DET
ejpam-802	29	29	(	(	PUNCT
ejpam-802	29	30	skew	skew	NOUN
ejpam-802	29	31	)	)	PUNCT
ejpam-802	29	32	normal	normal	ADJ
ejpam-802	29	33	random	random	ADJ
ejpam-802	29	34	variable	variable	NOUN
ejpam-802	29	35	divided	divide	VERB
ejpam-802	29	36	by	by	ADP
ejpam-802	29	37	the	the	DET
ejpam-802	29	38	square	square	ADJ
ejpam-802	29	39	root	root	NOUN
ejpam-802	29	40	of	of	ADP
ejpam-802	29	41	an	an	DET
ejpam-802	29	42	independent	independent	ADJ
ejpam-802	29	43	and	and	CCONJ
ejpam-802	29	44	standardized	standardized	ADJ
ejpam-802	29	45	χ2	χ2	NOUN
ejpam-802	29	46	random	random	ADJ
ejpam-802	29	47	variable	variable	NOUN
ejpam-802	29	48	.	.	PUNCT
ejpam-802	30	1	in	in	ADP
ejpam-802	30	2	fact	fact	NOUN
ejpam-802	30	3	,	,	PUNCT
ejpam-802	30	4	model	model	NOUN
ejpam-802	30	5	(	(	PUNCT
ejpam-802	30	6	1	1	NUM
ejpam-802	30	7	)	)	PUNCT
ejpam-802	30	8	is	be	AUX
ejpam-802	30	9	purely	purely	ADV
ejpam-802	30	10	a	a	DET
ejpam-802	30	11	skew	skew	ADJ
ejpam-802	30	12	model	model	NOUN
ejpam-802	30	13	that	that	PRON
ejpam-802	30	14	keeps	keep	VERB
ejpam-802	30	15	the	the	DET
ejpam-802	30	16	arch	arch	ADJ
ejpam-802	30	17	tradition	tradition	NOUN
ejpam-802	30	18	in	in	ADP
ejpam-802	30	19	analyzing	analyze	VERB
ejpam-802	30	20	economics	economic	NOUN
ejpam-802	30	21	data	datum	NOUN
ejpam-802	30	22	.	.	PUNCT
ejpam-802	31	1	there	there	PRON
ejpam-802	31	2	are	be	VERB
ejpam-802	31	3	several	several	ADJ
ejpam-802	31	4	versions	version	NOUN
ejpam-802	31	5	of	of	ADP
ejpam-802	31	6	skew	skew	NOUN
ejpam-802	31	7	-	-	PUNCT
ejpam-802	31	8	t	t	NOUN
ejpam-802	31	9	models	model	NOUN
ejpam-802	31	10	defined	define	VERB
ejpam-802	31	11	in	in	ADP
ejpam-802	31	12	the	the	DET
ejpam-802	31	13	statistical	statistical	ADJ
ejpam-802	31	14	literature	literature	NOUN
ejpam-802	31	15	.	.	PUNCT
ejpam-802	32	1	for	for	ADP
ejpam-802	32	2	example	example	NOUN
ejpam-802	32	3	,	,	PUNCT
ejpam-802	32	4	when	when	SCONJ
ejpam-802	32	5	x	x	PRON
ejpam-802	32	6	follows	follow	VERB
ejpam-802	32	7	a	a	DET
ejpam-802	32	8	skew	skew	ADJ
ejpam-802	32	9	normal	normal	ADJ
ejpam-802	32	10	model	model	NOUN
ejpam-802	32	11	fx	fx	PROPN
ejpam-802	32	12	(	(	PUNCT
ejpam-802	32	13	x	x	INTJ
ejpam-802	32	14	,	,	PUNCT
ejpam-802	32	15	λ	λ	NOUN
ejpam-802	32	16	)	)	PUNCT
ejpam-802	32	17	=	=	PUNCT
ejpam-802	33	1	2φ(x)φ(λx	2φ(x)φ(λx	NOUN
ejpam-802	33	2	)	)	PUNCT
ejpam-802	33	3	,	,	PUNCT
ejpam-802	33	4	(	(	PUNCT
ejpam-802	33	5	3	3	X
ejpam-802	33	6	)	)	PUNCT
ejpam-802	33	7	where	where	SCONJ
ejpam-802	33	8	φ	φ	PROPN
ejpam-802	33	9	and	and	CCONJ
ejpam-802	33	10	φ	φ	PROPN
ejpam-802	33	11	are	be	AUX
ejpam-802	33	12	the	the	DET
ejpam-802	33	13	pdf	pdf	NOUN
ejpam-802	33	14	and	and	CCONJ
ejpam-802	33	15	cdf	cdf	PROPN
ejpam-802	33	16	of	of	ADP
ejpam-802	33	17	the	the	DET
ejpam-802	33	18	standard	standard	ADJ
ejpam-802	33	19	normal	normal	ADJ
ejpam-802	33	20	distribution	distribution	NOUN
ejpam-802	33	21	,	,	PUNCT
ejpam-802	33	22	respectively	respectively	ADV
ejpam-802	33	23	,	,	PUNCT
ejpam-802	33	24	the	the	DET
ejpam-802	33	25	ratio	ratio	NOUN
ejpam-802	33	26	xp	xp	INTJ
ejpam-802	33	27	y	y	PROPN
ejpam-802	33	28	/	/	SYM
ejpam-802	33	29	v	v	PROPN
ejpam-802	33	30	is	be	AUX
ejpam-802	33	31	defined	define	VERB
ejpam-802	33	32	as	as	ADP
ejpam-802	33	33	a	a	DET
ejpam-802	33	34	skew	skew	NOUN
ejpam-802	33	35	-	-	PUNCT
ejpam-802	33	36	t	t	NOUN
ejpam-802	33	37	model	model	NOUN
ejpam-802	33	38	.	.	PUNCT
ejpam-802	34	1	the	the	DET
ejpam-802	34	2	skew	skew	ADJ
ejpam-802	34	3	normal	normal	ADJ
ejpam-802	34	4	model	model	NOUN
ejpam-802	34	5	(	(	PUNCT
ejpam-802	34	6	3	3	X
ejpam-802	34	7	)	)	PUNCT
ejpam-802	34	8	has	have	AUX
ejpam-802	34	9	been	be	AUX
ejpam-802	34	10	thoroughly	thoroughly	ADV
ejpam-802	34	11	discussed	discuss	VERB
ejpam-802	34	12	in	in	ADP
ejpam-802	34	13	the	the	DET
ejpam-802	34	14	literature	literature	NOUN
ejpam-802	34	15	.	.	PUNCT
ejpam-802	35	1	for	for	ADP
ejpam-802	35	2	example	example	NOUN
ejpam-802	35	3	,	,	PUNCT
ejpam-802	35	4	among	among	ADP
ejpam-802	35	5	many	many	ADJ
ejpam-802	35	6	other	other	ADJ
ejpam-802	35	7	publications	publication	NOUN
ejpam-802	35	8	,	,	PUNCT
ejpam-802	35	9	[	[	X
ejpam-802	35	10	3	3	NUM
ejpam-802	35	11	]	]	PUNCT
ejpam-802	35	12	discuss	discuss	VERB
ejpam-802	35	13	a	a	DET
ejpam-802	35	14	skew	skew	ADJ
ejpam-802	35	15	normal	normal	ADJ
ejpam-802	35	16	model	model	NOUN
ejpam-802	35	17	to	to	PART
ejpam-802	35	18	fit	fit	VERB
ejpam-802	35	19	the	the	DET
ejpam-802	35	20	stock	stock	NOUN
ejpam-802	35	21	market	market	NOUN
ejpam-802	35	22	data	datum	NOUN
ejpam-802	35	23	;	;	PUNCT
ejpam-802	35	24	j.	j.	PROPN
ejpam-802	35	25	chen	chen	PROPN
ejpam-802	35	26	/	/	PUNCT
ejpam-802	35	27	eur	eur	PROPN
ejpam-802	35	28	.	.	PUNCT
ejpam-802	36	1	j.	j.	PROPN
ejpam-802	36	2	pure	pure	PROPN
ejpam-802	36	3	appl	appl	PROPN
ejpam-802	36	4	.	.	PROPN
ejpam-802	36	5	math	math	PROPN
ejpam-802	36	6	,	,	PUNCT
ejpam-802	36	7	3	3	NUM
ejpam-802	36	8	(	(	PUNCT
ejpam-802	36	9	2010	2010	NUM
ejpam-802	36	10	)	)	PUNCT
ejpam-802	36	11	,	,	PUNCT
ejpam-802	36	12	531	531	NUM
ejpam-802	36	13	-	-	SYM
ejpam-802	36	14	540	540	NUM
ejpam-802	36	15	533	533	NUM
ejpam-802	36	16	and	and	CCONJ
ejpam-802	36	17	[	[	AUX
ejpam-802	36	18	9	9	NUM
ejpam-802	36	19	]	]	PUNCT
ejpam-802	36	20	introduce	introduce	VERB
ejpam-802	36	21	a	a	DET
ejpam-802	36	22	multivariate	multivariate	NOUN
ejpam-802	36	23	skew	skew	ADJ
ejpam-802	36	24	normal	normal	ADJ
ejpam-802	36	25	model	model	NOUN
ejpam-802	36	26	,	,	PUNCT
ejpam-802	36	27	and	and	CCONJ
ejpam-802	36	28	[	[	X
ejpam-802	36	29	1	1	X
ejpam-802	36	30	]	]	X
ejpam-802	36	31	propose	propose	VERB
ejpam-802	36	32	a	a	DET
ejpam-802	36	33	matrix	matrix	NOUN
ejpam-802	36	34	variate	variate	NOUN
ejpam-802	36	35	skew	skew	ADJ
ejpam-802	36	36	normal	normal	ADJ
ejpam-802	36	37	model	model	NOUN
ejpam-802	36	38	,	,	PUNCT
ejpam-802	36	39	to	to	PART
ejpam-802	36	40	list	list	VERB
ejpam-802	36	41	just	just	ADV
ejpam-802	36	42	a	a	DET
ejpam-802	36	43	few	few	ADJ
ejpam-802	36	44	.	.	PUNCT
ejpam-802	37	1	unfortunately	unfortunately	ADV
ejpam-802	37	2	,	,	PUNCT
ejpam-802	37	3	all	all	DET
ejpam-802	37	4	currently	currently	ADV
ejpam-802	37	5	available	available	ADJ
ejpam-802	37	6	skew	skew	ADJ
ejpam-802	37	7	normal	normal	ADJ
ejpam-802	37	8	models	model	NOUN
ejpam-802	37	9	do	do	AUX
ejpam-802	37	10	not	not	PART
ejpam-802	37	11	lead	lead	VERB
ejpam-802	37	12	to	to	ADP
ejpam-802	37	13	the	the	DET
ejpam-802	37	14	skew	skew	NOUN
ejpam-802	37	15	-	-	PUNCT
ejpam-802	37	16	t	t	NOUN
ejpam-802	37	17	model	model	NOUN
ejpam-802	37	18	defined	define	VERB
ejpam-802	37	19	in	in	ADP
ejpam-802	37	20	(	(	PUNCT
ejpam-802	37	21	1	1	NUM
ejpam-802	37	22	)	)	PUNCT
ejpam-802	37	23	.	.	PUNCT
ejpam-802	38	1	this	this	PRON
ejpam-802	38	2	raises	raise	VERB
ejpam-802	38	3	a	a	DET
ejpam-802	38	4	question	question	NOUN
ejpam-802	38	5	on	on	ADP
ejpam-802	38	6	the	the	DET
ejpam-802	38	7	plausibility	plausibility	NOUN
ejpam-802	38	8	of	of	ADP
ejpam-802	38	9	model	model	NOUN
ejpam-802	38	10	(	(	PUNCT
ejpam-802	38	11	1	1	X
ejpam-802	38	12	)	)	PUNCT
ejpam-802	38	13	being	be	AUX
ejpam-802	38	14	named	name	VERB
ejpam-802	38	15	a	a	DET
ejpam-802	38	16	skew	skew	NOUN
ejpam-802	38	17	-	-	PUNCT
ejpam-802	38	18	t	t	NOUN
ejpam-802	38	19	model	model	NOUN
ejpam-802	38	20	.	.	PUNCT
ejpam-802	39	1	does	do	AUX
ejpam-802	39	2	the	the	DET
ejpam-802	39	3	corresponding	correspond	VERB
ejpam-802	39	4	skew	skew	ADJ
ejpam-802	39	5	normal	normal	ADJ
ejpam-802	39	6	model	model	NOUN
ejpam-802	39	7	exist	exist	VERB
ejpam-802	39	8	for	for	ADP
ejpam-802	39	9	the	the	DET
ejpam-802	39	10	definition	definition	NOUN
ejpam-802	39	11	of	of	ADP
ejpam-802	39	12	the	the	DET
ejpam-802	39	13	skew	skew	NOUN
ejpam-802	39	14	-	-	PUNCT
ejpam-802	39	15	t	t	NOUN
ejpam-802	39	16	model	model	NOUN
ejpam-802	39	17	in	in	ADP
ejpam-802	39	18	(	(	PUNCT
ejpam-802	39	19	1	1	NUM
ejpam-802	39	20	)	)	PUNCT
ejpam-802	39	21	?	?	PUNCT
ejpam-802	40	1	the	the	DET
ejpam-802	40	2	three	three	NUM
ejpam-802	40	3	criteria	criterion	NOUN
ejpam-802	40	4	(	(	PUNCT
ejpam-802	40	5	skewness	skewness	NOUN
ejpam-802	40	6	,	,	PUNCT
ejpam-802	40	7	zero	zero	NUM
ejpam-802	40	8	mean	mean	NOUN
ejpam-802	40	9	and	and	CCONJ
ejpam-802	40	10	unit	unit	NOUN
ejpam-802	40	11	variance	variance	NOUN
ejpam-802	40	12	)	)	PUNCT
ejpam-802	40	13	of	of	ADP
ejpam-802	40	14	[	[	X
ejpam-802	40	15	10	10	NUM
ejpam-802	40	16	]	]	PUNCT
ejpam-802	40	17	essentially	essentially	ADV
ejpam-802	40	18	exclude	exclude	VERB
ejpam-802	40	19	the	the	DET
ejpam-802	40	20	use	use	NOUN
ejpam-802	40	21	of	of	ADP
ejpam-802	40	22	any	any	DET
ejpam-802	40	23	skew	skew	ADJ
ejpam-802	40	24	-	-	PUNCT
ejpam-802	40	25	t	t	NOUN
ejpam-802	40	26	model	model	NOUN
ejpam-802	40	27	derived	derive	VERB
ejpam-802	40	28	from	from	ADP
ejpam-802	40	29	the	the	DET
ejpam-802	40	30	currently	currently	ADV
ejpam-802	40	31	existing	exist	VERB
ejpam-802	40	32	skew	skew	ADJ
ejpam-802	40	33	normal	normal	ADJ
ejpam-802	40	34	model	model	NOUN
ejpam-802	40	35	(	(	PUNCT
ejpam-802	40	36	3	3	NUM
ejpam-802	40	37	)	)	PUNCT
ejpam-802	40	38	.	.	PUNCT
ejpam-802	41	1	it	it	PRON
ejpam-802	41	2	is	be	AUX
ejpam-802	41	3	awkward	awkward	ADJ
ejpam-802	41	4	to	to	PART
ejpam-802	41	5	claim	claim	VERB
ejpam-802	41	6	that	that	DET
ejpam-802	41	7	model	model	NOUN
ejpam-802	41	8	(	(	PUNCT
ejpam-802	41	9	1	1	X
ejpam-802	41	10	)	)	PUNCT
ejpam-802	41	11	is	be	AUX
ejpam-802	41	12	a	a	DET
ejpam-802	41	13	skew	skew	NOUN
ejpam-802	41	14	-	-	PUNCT
ejpam-802	41	15	t	t	NOUN
ejpam-802	41	16	model	model	NOUN
ejpam-802	41	17	if	if	SCONJ
ejpam-802	41	18	the	the	DET
ejpam-802	41	19	corresponding	correspond	VERB
ejpam-802	41	20	skew	skew	ADJ
ejpam-802	41	21	normal	normal	ADJ
ejpam-802	41	22	model	model	NOUN
ejpam-802	41	23	does	do	AUX
ejpam-802	41	24	not	not	PART
ejpam-802	41	25	exist	exist	VERB
ejpam-802	41	26	.	.	PUNCT
ejpam-802	42	1	given	give	VERB
ejpam-802	42	2	a	a	DET
ejpam-802	42	3	skew	skew	ADJ
ejpam-802	42	4	normal	normal	ADJ
ejpam-802	42	5	model	model	NOUN
ejpam-802	42	6	,	,	PUNCT
ejpam-802	42	7	it	it	PRON
ejpam-802	42	8	is	be	AUX
ejpam-802	42	9	straightforward	straightforward	ADJ
ejpam-802	42	10	to	to	PART
ejpam-802	42	11	define	define	VERB
ejpam-802	42	12	a	a	DET
ejpam-802	42	13	skew	skew	NOUN
ejpam-802	42	14	-	-	PUNCT
ejpam-802	42	15	t.	t.	NOUN
ejpam-802	42	16	however	however	ADV
ejpam-802	42	17	,	,	PUNCT
ejpam-802	42	18	given	give	VERB
ejpam-802	42	19	a	a	DET
ejpam-802	42	20	skew	skew	NOUN
ejpam-802	42	21	-	-	PUNCT
ejpam-802	42	22	t	t	NOUN
ejpam-802	42	23	model	model	NOUN
ejpam-802	42	24	,	,	PUNCT
ejpam-802	42	25	it	it	PRON
ejpam-802	42	26	is	be	AUX
ejpam-802	42	27	not	not	PART
ejpam-802	42	28	easy	easy	ADJ
ejpam-802	42	29	to	to	PART
ejpam-802	42	30	retrospectively	retrospectively	ADV
ejpam-802	42	31	define	define	VERB
ejpam-802	42	32	the	the	DET
ejpam-802	42	33	skew	skew	ADJ
ejpam-802	42	34	normal	normal	ADJ
ejpam-802	42	35	model	model	NOUN
ejpam-802	42	36	that	that	PRON
ejpam-802	42	37	fits	fit	VERB
ejpam-802	42	38	in	in	ADP
ejpam-802	42	39	to	to	ADP
ejpam-802	42	40	the	the	DET
ejpam-802	42	41	already	already	ADV
ejpam-802	42	42	specified	specify	VERB
ejpam-802	42	43	skew	skew	NOUN
ejpam-802	42	44	-	-	PUNCT
ejpam-802	42	45	t	t	NOUN
ejpam-802	42	46	model	model	NOUN
ejpam-802	42	47	.	.	PUNCT
ejpam-802	43	1	under	under	ADP
ejpam-802	43	2	this	this	DET
ejpam-802	43	3	scenario	scenario	NOUN
ejpam-802	43	4	,	,	PUNCT
ejpam-802	43	5	it	it	PRON
ejpam-802	43	6	is	be	AUX
ejpam-802	43	7	critical	critical	ADJ
ejpam-802	43	8	to	to	PART
ejpam-802	43	9	search	search	VERB
ejpam-802	43	10	for	for	ADP
ejpam-802	43	11	a	a	DET
ejpam-802	43	12	skew	skew	ADJ
ejpam-802	43	13	normal	normal	ADJ
ejpam-802	43	14	model	model	NOUN
ejpam-802	43	15	with	with	ADP
ejpam-802	43	16	which	which	DET
ejpam-802	43	17	model	model	NOUN
ejpam-802	43	18	(	(	PUNCT
ejpam-802	43	19	1	1	X
ejpam-802	43	20	)	)	PUNCT
ejpam-802	43	21	can	can	AUX
ejpam-802	43	22	be	be	AUX
ejpam-802	43	23	derived	derive	VERB
ejpam-802	43	24	following	follow	VERB
ejpam-802	43	25	the	the	DET
ejpam-802	43	26	principle	principle	NOUN
ejpam-802	43	27	of	of	ADP
ejpam-802	43	28	the	the	DET
ejpam-802	43	29	student	student	NOUN
ejpam-802	43	30	-t	-t	NOUN
ejpam-802	43	31	statistic	statistic	NOUN
ejpam-802	43	32	.	.	PUNCT
ejpam-802	44	1	this	this	PRON
ejpam-802	44	2	partly	partly	ADV
ejpam-802	44	3	motivates	motivate	VERB
ejpam-802	44	4	the	the	DET
ejpam-802	44	5	investigation	investigation	NOUN
ejpam-802	44	6	in	in	ADP
ejpam-802	44	7	this	this	DET
ejpam-802	44	8	paper	paper	NOUN
ejpam-802	44	9	.	.	PUNCT
ejpam-802	45	1	the	the	DET
ejpam-802	45	2	rest	rest	NOUN
ejpam-802	45	3	of	of	ADP
ejpam-802	45	4	the	the	DET
ejpam-802	45	5	paper	paper	NOUN
ejpam-802	45	6	is	be	AUX
ejpam-802	45	7	organized	organize	VERB
ejpam-802	45	8	in	in	ADP
ejpam-802	45	9	the	the	DET
ejpam-802	45	10	following	following	ADJ
ejpam-802	45	11	way	way	NOUN
ejpam-802	45	12	.	.	PUNCT
ejpam-802	46	1	after	after	ADP
ejpam-802	46	2	defining	define	VERB
ejpam-802	46	3	a	a	DET
ejpam-802	46	4	new	new	ADJ
ejpam-802	46	5	skew	skew	ADJ
ejpam-802	46	6	normal	normal	ADJ
ejpam-802	46	7	model	model	NOUN
ejpam-802	46	8	in	in	ADP
ejpam-802	46	9	section	section	NOUN
ejpam-802	46	10	2	2	NUM
ejpam-802	46	11	,	,	PUNCT
ejpam-802	46	12	we	we	PRON
ejpam-802	46	13	derive	derive	VERB
ejpam-802	46	14	the	the	DET
ejpam-802	46	15	corresponding	correspond	VERB
ejpam-802	46	16	skew	skew	NOUN
ejpam-802	46	17	-	-	PUNCT
ejpam-802	46	18	t	t	NOUN
ejpam-802	46	19	model	model	NOUN
ejpam-802	46	20	in	in	ADP
ejpam-802	46	21	section	section	NOUN
ejpam-802	46	22	3	3	NUM
ejpam-802	46	23	,	,	PUNCT
ejpam-802	46	24	which	which	PRON
ejpam-802	46	25	coincides	coincide	VERB
ejpam-802	46	26	with	with	ADP
ejpam-802	46	27	the	the	DET
ejpam-802	46	28	skew	skew	NOUN
ejpam-802	46	29	-	-	PUNCT
ejpam-802	46	30	t	t	NOUN
ejpam-802	46	31	model	model	NOUN
ejpam-802	46	32	discussed	discuss	VERB
ejpam-802	46	33	in	in	ADP
ejpam-802	46	34	[	[	X
ejpam-802	46	35	10	10	NUM
ejpam-802	46	36	]	]	PUNCT
ejpam-802	46	37	and	and	CCONJ
ejpam-802	46	38	[	[	X
ejpam-802	46	39	7	7	NUM
ejpam-802	46	40	]	]	PUNCT
ejpam-802	46	41	.	.	PUNCT
ejpam-802	47	1	the	the	DET
ejpam-802	47	2	new	new	ADJ
ejpam-802	47	3	skew	skew	ADJ
ejpam-802	47	4	normal	normal	ADJ
ejpam-802	47	5	model	model	NOUN
ejpam-802	47	6	opens	open	VERB
ejpam-802	47	7	a	a	DET
ejpam-802	47	8	new	new	ADJ
ejpam-802	47	9	research	research	NOUN
ejpam-802	47	10	area	area	NOUN
ejpam-802	47	11	for	for	ADP
ejpam-802	47	12	modeling	model	VERB
ejpam-802	47	13	data	datum	NOUN
ejpam-802	47	14	with	with	ADP
ejpam-802	47	15	excess	excess	ADJ
ejpam-802	47	16	kurtosis	kurtosis	NOUN
ejpam-802	47	17	and	and	CCONJ
ejpam-802	47	18	asymmetry	asymmetry	NOUN
ejpam-802	47	19	.	.	PUNCT
ejpam-802	48	1	an	an	DET
ejpam-802	48	2	extension	extension	NOUN
ejpam-802	48	3	of	of	ADP
ejpam-802	48	4	this	this	DET
ejpam-802	48	5	skewness	skewness	NOUN
ejpam-802	48	6	methodology	methodology	NOUN
ejpam-802	48	7	is	be	AUX
ejpam-802	48	8	provided	provide	VERB
ejpam-802	48	9	in	in	ADP
ejpam-802	48	10	section	section	NOUN
ejpam-802	48	11	4	4	NUM
ejpam-802	48	12	,	,	PUNCT
ejpam-802	48	13	which	which	PRON
ejpam-802	48	14	is	be	AUX
ejpam-802	48	15	followed	follow	VERB
ejpam-802	48	16	by	by	ADP
ejpam-802	48	17	concluding	conclude	VERB
ejpam-802	48	18	remarks	remark	NOUN
ejpam-802	48	19	in	in	ADP
ejpam-802	48	20	section	section	NOUN
ejpam-802	48	21	5	5	NUM
ejpam-802	48	22	.	.	NOUN
ejpam-802	49	1	2	2	NUM
ejpam-802	49	2	.	.	X
ejpam-802	50	1	the	the	DET
ejpam-802	50	2	density	density	NOUN
ejpam-802	50	3	of	of	ADP
ejpam-802	50	4	a	a	DET
ejpam-802	50	5	new	new	ADJ
ejpam-802	50	6	skew	skew	ADJ
ejpam-802	50	7	normal	normal	ADJ
ejpam-802	50	8	model	model	NOUN
ejpam-802	50	9	consider	consider	VERB
ejpam-802	50	10	the	the	DET
ejpam-802	50	11	following	follow	VERB
ejpam-802	50	12	distribution	distribution	NOUN
ejpam-802	50	13	family	family	NOUN
ejpam-802	50	14	for	for	ADP
ejpam-802	50	15	any	any	DET
ejpam-802	50	16	λ	λ	PROPN
ejpam-802	50	17	∈	∈	PROPN
ejpam-802	50	18	(	(	PUNCT
ejpam-802	50	19	0,1	0,1	NUM
ejpam-802	50	20	)	)	PUNCT
ejpam-802	50	21	,	,	PUNCT
ejpam-802	50	22	f	f	PROPN
ejpam-802	50	23	(	(	PUNCT
ejpam-802	50	24	x	x	X
ejpam-802	50	25	)	)	PUNCT
ejpam-802	50	26	=	=	PUNCT
ejpam-802	50	27			PROPN
ejpam-802	50	28			ADP
ejpam-802	50	29			NOUN
ejpam-802	50	30	1p	1p	ADJ
ejpam-802	50	31	2π	2π	NOUN
ejpam-802	50	32	e	e	X
ejpam-802	50	33	−	−	NOUN
ejpam-802	51	1	x2	x2	NOUN
ejpam-802	51	2	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	51	3	if	if	SCONJ
ejpam-802	51	4	x	x	SYM
ejpam-802	51	5	≤	≤	X
ejpam-802	51	6	0	0	NUM
ejpam-802	51	7	1p	1p	NUM
ejpam-802	51	8	2π	2π	NOUN
ejpam-802	51	9	e	e	X
ejpam-802	51	10	−	−	NOUN
ejpam-802	51	11	x2	x2	PROPN
ejpam-802	51	12	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	51	13	if	if	SCONJ
ejpam-802	51	14	x	x	PROPN
ejpam-802	51	15	>	>	X
ejpam-802	51	16	0	0	NUM
ejpam-802	51	17	.	.	PUNCT
ejpam-802	52	1	(	(	PUNCT
ejpam-802	52	2	4	4	X
ejpam-802	52	3	)	)	PUNCT
ejpam-802	52	4	this	this	DET
ejpam-802	52	5	model	model	NOUN
ejpam-802	52	6	is	be	AUX
ejpam-802	52	7	different	different	ADJ
ejpam-802	52	8	from	from	ADP
ejpam-802	52	9	the	the	DET
ejpam-802	52	10	skew	skew	ADJ
ejpam-802	52	11	normal	normal	ADJ
ejpam-802	52	12	model	model	NOUN
ejpam-802	52	13	discussed	discuss	VERB
ejpam-802	52	14	in	in	ADP
ejpam-802	52	15	the	the	DET
ejpam-802	52	16	literature	literature	NOUN
ejpam-802	52	17	.	.	PUNCT
ejpam-802	53	1	it	it	PRON
ejpam-802	53	2	skews	skew	VERB
ejpam-802	53	3	the	the	DET
ejpam-802	53	4	normal	normal	ADJ
ejpam-802	53	5	model	model	NOUN
ejpam-802	53	6	in	in	ADP
ejpam-802	53	7	the	the	DET
ejpam-802	53	8	way	way	NOUN
ejpam-802	53	9	of	of	ADP
ejpam-802	53	10	adjusting	adjust	VERB
ejpam-802	53	11	the	the	DET
ejpam-802	53	12	left	left	ADJ
ejpam-802	53	13	-	-	PUNCT
ejpam-802	53	14	side	side	NOUN
ejpam-802	53	15	and	and	CCONJ
ejpam-802	53	16	right	right	ADJ
ejpam-802	53	17	-	-	PUNCT
ejpam-802	53	18	side	side	NOUN
ejpam-802	53	19	of	of	ADP
ejpam-802	53	20	the	the	DET
ejpam-802	53	21	density	density	NOUN
ejpam-802	53	22	by	by	ADP
ejpam-802	53	23	changing	change	VERB
ejpam-802	53	24	the	the	DET
ejpam-802	53	25	skew	skew	ADJ
ejpam-802	53	26	parameter	parameter	PROPN
ejpam-802	53	27	λ	λ	PROPN
ejpam-802	53	28	.	.	PUNCT
ejpam-802	53	29	first	first	ADV
ejpam-802	53	30	,	,	PUNCT
ejpam-802	53	31	notice	notice	VERB
ejpam-802	53	32	that	that	SCONJ
ejpam-802	53	33	f	f	PROPN
ejpam-802	53	34	(	(	PUNCT
ejpam-802	53	35	x)≥	x)≥	PROPN
ejpam-802	53	36	0	0	NUM
ejpam-802	53	37	and	and	CCONJ
ejpam-802	53	38	∫	∫	PROPN
ejpam-802	53	39	∞	∞	PROPN
ejpam-802	53	40	−∞	−∞	X
ejpam-802	53	41	f	f	PROPN
ejpam-802	53	42	(	(	PUNCT
ejpam-802	53	43	x)d	x)d	PUNCT
ejpam-802	53	44	x	x	PUNCT
ejpam-802	53	45	=	=	SYM
ejpam-802	53	46	∫	∫	PROPN
ejpam-802	53	47	∞	∞	PROPN
ejpam-802	53	48	0	0	PROPN
ejpam-802	53	49	1p	1p	NUM
ejpam-802	53	50	2π	2π	NOUN
ejpam-802	53	51	e	e	X
ejpam-802	53	52	−	−	NOUN
ejpam-802	54	1	x2	x2	NOUN
ejpam-802	55	1	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	55	2	d	d	NOUN
ejpam-802	55	3	x	x	PUNCT
ejpam-802	56	1	+	+	NUM
ejpam-802	56	2	∫	∫	PROPN
ejpam-802	56	3	0	0	NUM
ejpam-802	57	1	−∞	−∞	ADP
ejpam-802	57	2	1p	1p	NUM
ejpam-802	57	3	2π	2π	NOUN
ejpam-802	57	4	e	e	X
ejpam-802	57	5	−	−	NOUN
ejpam-802	58	1	x2	x2	NOUN
ejpam-802	58	2	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	58	3	d	d	NOUN
ejpam-802	58	4	x	x	SYM
ejpam-802	58	5	=	=	SYM
ejpam-802	59	1	1+λ	1+λ	NUM
ejpam-802	59	2	2	2	NUM
ejpam-802	59	3	+	+	CCONJ
ejpam-802	59	4	1−λ	1−λ	NUM
ejpam-802	59	5	2	2	NUM
ejpam-802	59	6	=	=	SYM
ejpam-802	59	7	1	1	NUM
ejpam-802	59	8	.	.	PUNCT
ejpam-802	59	9	(	(	PUNCT
ejpam-802	59	10	5	5	NUM
ejpam-802	59	11	)	)	PUNCT
ejpam-802	59	12	now	now	ADV
ejpam-802	59	13	the	the	DET
ejpam-802	59	14	mean	mean	NOUN
ejpam-802	59	15	of	of	ADP
ejpam-802	59	16	model	model	NOUN
ejpam-802	59	17	(	(	PUNCT
ejpam-802	59	18	4	4	NUM
ejpam-802	59	19	)	)	PUNCT
ejpam-802	59	20	becomes	become	VERB
ejpam-802	59	21	e(x	e(x	NUM
ejpam-802	59	22	)	)	PUNCT
ejpam-802	60	1	=	=	SYM
ejpam-802	60	2	∫	∫	PROPN
ejpam-802	61	1	∞	∞	PROPN
ejpam-802	61	2	−∞	−∞	X
ejpam-802	61	3	x	x	SYM
ejpam-802	61	4	f	f	X
ejpam-802	61	5	(	(	PUNCT
ejpam-802	61	6	x)d	x)d	PUNCT
ejpam-802	61	7	x	x	PUNCT
ejpam-802	61	8	j.	j.	PROPN
ejpam-802	61	9	chen	chen	PROPN
ejpam-802	61	10	/	/	SYM
ejpam-802	61	11	eur	eur	PROPN
ejpam-802	61	12	.	.	PUNCT
ejpam-802	62	1	j.	j.	PROPN
ejpam-802	62	2	pure	pure	PROPN
ejpam-802	62	3	appl	appl	PROPN
ejpam-802	62	4	.	.	PROPN
ejpam-802	62	5	math	math	PROPN
ejpam-802	62	6	,	,	PUNCT
ejpam-802	62	7	3	3	NUM
ejpam-802	62	8	(	(	PUNCT
ejpam-802	62	9	2010	2010	NUM
ejpam-802	62	10	)	)	PUNCT
ejpam-802	62	11	,	,	PUNCT
ejpam-802	62	12	531	531	NUM
ejpam-802	62	13	-	-	SYM
ejpam-802	62	14	540	540	NUM
ejpam-802	62	15	534	534	NUM
ejpam-802	62	16	=	=	SYM
ejpam-802	62	17	∫	∫	PROPN
ejpam-802	62	18	∞	∞	PROPN
ejpam-802	62	19	0	0	NUM
ejpam-802	63	1	xp	xp	PROPN
ejpam-802	63	2	2π	2π	PROPN
ejpam-802	63	3	e	e	X
ejpam-802	63	4	−	−	NOUN
ejpam-802	64	1	x2	x2	NOUN
ejpam-802	65	1	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	65	2	d	d	NOUN
ejpam-802	65	3	x	x	PUNCT
ejpam-802	66	1	+	+	NUM
ejpam-802	66	2	∫	∫	PROPN
ejpam-802	66	3	0	0	NUM
ejpam-802	67	1	−∞	−∞	X
ejpam-802	67	2	xp	xp	INTJ
ejpam-802	67	3	2π	2π	PROPN
ejpam-802	67	4	e	e	X
ejpam-802	67	5	−	−	NOUN
ejpam-802	67	6	x2	x2	NOUN
ejpam-802	68	1	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	68	2	d	d	NOUN
ejpam-802	68	3	x	x	SYM
ejpam-802	68	4	=	=	SYM
ejpam-802	68	5	1	1	NUM
ejpam-802	68	6	2	2	NUM
ejpam-802	68	7	∫	∫	NOUN
ejpam-802	68	8	∞	∞	NUM
ejpam-802	68	9	0	0	PROPN
ejpam-802	69	1	1p	1p	NUM
ejpam-802	69	2	2π	2π	NOUN
ejpam-802	69	3	e	e	X
ejpam-802	69	4	−	−	NOUN
ejpam-802	69	5	y	y	PROPN
ejpam-802	69	6	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	70	1	d	d	X
ejpam-802	70	2	y	y	PROPN
ejpam-802	70	3	−	−	NOUN
ejpam-802	70	4	1	1	NUM
ejpam-802	70	5	2	2	NUM
ejpam-802	70	6	∫	∫	NOUN
ejpam-802	70	7	∞	∞	NUM
ejpam-802	70	8	0	0	PROPN
ejpam-802	71	1	1p	1p	NUM
ejpam-802	71	2	2π	2π	NOUN
ejpam-802	71	3	e	e	X
ejpam-802	71	4	−	−	PROPN
ejpam-802	71	5	y	y	PROPN
ejpam-802	71	6	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	71	7	d	d	X
ejpam-802	71	8	y	y	NOUN
ejpam-802	71	9	=	=	NOUN
ejpam-802	71	10	1	1	NUM
ejpam-802	71	11	2	2	NUM
ejpam-802	71	12	p	p	NOUN
ejpam-802	71	13	2π	2π	NOUN
ejpam-802	71	14	e	e	NOUN
ejpam-802	71	15	−	−	PROPN
ejpam-802	71	16	y	y	PROPN
ejpam-802	71	17	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	71	18	(	(	PUNCT
ejpam-802	71	19	1+λ)2(−2)|∞0	1+λ)2(−2)|∞0	NUM
ejpam-802	71	20	−	−	NUM
ejpam-802	71	21	1	1	NUM
ejpam-802	71	22	2	2	NUM
ejpam-802	71	23	p	p	NOUN
ejpam-802	71	24	2π	2π	NOUN
ejpam-802	71	25	e	e	NOUN
ejpam-802	71	26	−	−	PROPN
ejpam-802	71	27	y	y	PROPN
ejpam-802	71	28	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	71	29	(	(	PUNCT
ejpam-802	71	30	1−λ)2(−2)|∞0	1−λ)2(−2)|∞0	NUM
ejpam-802	71	31	=	=	SYM
ejpam-802	71	32	1p	1p	NUM
ejpam-802	71	33	2π	2π	NOUN
ejpam-802	71	34	(	(	PUNCT
ejpam-802	71	35	1+λ)2−	1+λ)2−	NUM
ejpam-802	71	36	1p	1p	ADJ
ejpam-802	71	37	2π	2π	NOUN
ejpam-802	71	38	(	(	PUNCT
ejpam-802	71	39	1−λ)2	1−λ)2	NUM
ejpam-802	71	40	=	=	SYM
ejpam-802	71	41	4p	4p	NOUN
ejpam-802	71	42	2π	2π	PROPN
ejpam-802	71	43	λ	λ	PROPN
ejpam-802	71	44	.	.	PUNCT
ejpam-802	72	1	(	(	PUNCT
ejpam-802	72	2	6	6	NUM
ejpam-802	72	3	)	)	PUNCT
ejpam-802	72	4	in	in	ADP
ejpam-802	72	5	order	order	NOUN
ejpam-802	72	6	to	to	PART
ejpam-802	72	7	evaluate	evaluate	VERB
ejpam-802	72	8	the	the	DET
ejpam-802	72	9	variability	variability	NOUN
ejpam-802	72	10	,	,	PUNCT
ejpam-802	72	11	the	the	DET
ejpam-802	72	12	second	second	ADJ
ejpam-802	72	13	moment	moment	NOUN
ejpam-802	72	14	of	of	ADP
ejpam-802	72	15	the	the	DET
ejpam-802	72	16	new	new	ADJ
ejpam-802	72	17	random	random	ADJ
ejpam-802	72	18	variable	variable	NOUN
ejpam-802	72	19	can	can	AUX
ejpam-802	72	20	be	be	AUX
ejpam-802	72	21	computed	compute	VERB
ejpam-802	72	22	as	as	SCONJ
ejpam-802	72	23	follows	follow	VERB
ejpam-802	72	24	.	.	PUNCT
ejpam-802	73	1	e(x	e(x	NUM
ejpam-802	73	2	2	2	NUM
ejpam-802	73	3	)	)	PUNCT
ejpam-802	73	4	=	=	SYM
ejpam-802	74	1	∫	∫	PROPN
ejpam-802	74	2	∞	∞	PROPN
ejpam-802	75	1	−∞	−∞	X
ejpam-802	75	2	x2	x2	PROPN
ejpam-802	75	3	f	f	PROPN
ejpam-802	75	4	(	(	PUNCT
ejpam-802	75	5	x)d	x)d	PUNCT
ejpam-802	75	6	x	x	PUNCT
ejpam-802	75	7	=	=	SYM
ejpam-802	75	8	∫	∫	PROPN
ejpam-802	75	9	∞	∞	NUM
ejpam-802	75	10	0	0	NUM
ejpam-802	76	1	x2	x2	PROPN
ejpam-802	76	2	p	p	X
ejpam-802	76	3	2π	2π	X
ejpam-802	76	4	e	e	X
ejpam-802	76	5	−	−	NOUN
ejpam-802	77	1	x2	x2	NOUN
ejpam-802	78	1	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	78	2	d	d	NOUN
ejpam-802	78	3	x	x	PUNCT
ejpam-802	79	1	+	+	NUM
ejpam-802	79	2	∫	∫	PROPN
ejpam-802	79	3	0	0	NUM
ejpam-802	80	1	−∞	−∞	ADP
ejpam-802	80	2	x2	x2	PROPN
ejpam-802	80	3	p	p	X
ejpam-802	80	4	2π	2π	X
ejpam-802	80	5	e	e	X
ejpam-802	80	6	−	−	NOUN
ejpam-802	81	1	x2	x2	NOUN
ejpam-802	82	1	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	82	2	d	d	NOUN
ejpam-802	82	3	x	x	SYM
ejpam-802	82	4	=	=	SYM
ejpam-802	82	5	∫	∫	PROPN
ejpam-802	82	6	∞	∞	NUM
ejpam-802	82	7	0	0	NUM
ejpam-802	83	1	(	(	PUNCT
ejpam-802	83	2	1+λ)3	1+λ)3	NUM
ejpam-802	83	3	y2	y2	NOUN
ejpam-802	83	4	p	p	NOUN
ejpam-802	83	5	2π	2π	NOUN
ejpam-802	83	6	e−	e−	PROPN
ejpam-802	84	1	y2	y2	NOUN
ejpam-802	85	1	2	2	NUM
ejpam-802	85	2	d	d	X
ejpam-802	85	3	y	y	PROPN
ejpam-802	85	4	+	+	CCONJ
ejpam-802	85	5	∫	∫	PROPN
ejpam-802	85	6	0	0	NUM
ejpam-802	86	1	−∞	−∞	X
ejpam-802	86	2	(	(	PUNCT
ejpam-802	86	3	1−λ)3	1−λ)3	NUM
ejpam-802	86	4	y2	y2	NOUN
ejpam-802	87	1	p	p	NOUN
ejpam-802	87	2	2π	2π	NOUN
ejpam-802	87	3	e−	e−	PROPN
ejpam-802	87	4	y2	y2	NOUN
ejpam-802	87	5	2	2	NUM
ejpam-802	88	1	d	d	X
ejpam-802	88	2	y	y	NOUN
ejpam-802	88	3	=	=	SYM
ejpam-802	88	4	(	(	PUNCT
ejpam-802	88	5	6λ2	6λ2	NUM
ejpam-802	88	6	+	+	NOUN
ejpam-802	88	7	2	2	X
ejpam-802	88	8	)	)	PUNCT
ejpam-802	88	9	∫	∫	PROPN
ejpam-802	88	10	∞	∞	NOUN
ejpam-802	88	11	0	0	NUM
ejpam-802	89	1	y2	y2	NOUN
ejpam-802	89	2	p	p	VERB
ejpam-802	89	3	2π	2π	NOUN
ejpam-802	89	4	e−	e−	PROPN
ejpam-802	90	1	y2	y2	NOUN
ejpam-802	91	1	2	2	NUM
ejpam-802	92	1	d	d	X
ejpam-802	92	2	y	y	NOUN
ejpam-802	92	3	=	=	SYM
ejpam-802	92	4	3λ2	3λ2	NUM
ejpam-802	92	5	+	+	SYM
ejpam-802	92	6	1	1	NUM
ejpam-802	92	7	,	,	PUNCT
ejpam-802	92	8	(	(	PUNCT
ejpam-802	92	9	7	7	NUM
ejpam-802	92	10	)	)	PUNCT
ejpam-802	92	11	because	because	SCONJ
ejpam-802	92	12	∫	∫	PROPN
ejpam-802	92	13	∞	∞	NUM
ejpam-802	92	14	0	0	NUM
ejpam-802	93	1	y2	y2	NOUN
ejpam-802	93	2	p	p	VERB
ejpam-802	93	3	2π	2π	NOUN
ejpam-802	93	4	e−	e−	PROPN
ejpam-802	94	1	y2	y2	NOUN
ejpam-802	95	1	2	2	NUM
ejpam-802	96	1	d	d	X
ejpam-802	96	2	y	y	NOUN
ejpam-802	96	3	=	=	SYM
ejpam-802	96	4	1/2	1/2	NUM
ejpam-802	96	5	.	.	PUNCT
ejpam-802	97	1	thus	thus	ADV
ejpam-802	97	2	the	the	DET
ejpam-802	97	3	variance	variance	NOUN
ejpam-802	97	4	of	of	ADP
ejpam-802	97	5	the	the	DET
ejpam-802	97	6	new	new	ADJ
ejpam-802	97	7	skew	skew	ADJ
ejpam-802	97	8	normal	normal	ADJ
ejpam-802	97	9	model	model	NOUN
ejpam-802	97	10	is	be	AUX
ejpam-802	97	11	v	v	NOUN
ejpam-802	97	12	(	(	PUNCT
ejpam-802	97	13	x	x	X
ejpam-802	97	14	)	)	PUNCT
ejpam-802	97	15	=	=	SYM
ejpam-802	97	16	e(x	e(x	NUM
ejpam-802	97	17	2)−	2)−	NUM
ejpam-802	97	18	(	(	PUNCT
ejpam-802	97	19	ex	ex	X
ejpam-802	97	20	)	)	PUNCT
ejpam-802	97	21	2	2	NUM
ejpam-802	97	22	=	=	SYM
ejpam-802	97	23	3λ2	3λ2	NUM
ejpam-802	97	24	+	+	SYM
ejpam-802	97	25	1−	1−	NUM
ejpam-802	97	26	(	(	PUNCT
ejpam-802	97	27	4p	4p	NUM
ejpam-802	97	28	2π	2π	NOUN
ejpam-802	97	29	λ)2	λ)2	NOUN
ejpam-802	97	30	.	.	PUNCT
ejpam-802	98	1	(	(	PUNCT
ejpam-802	98	2	8)	8)	NUM
ejpam-802	98	3	now	now	ADV
ejpam-802	98	4	denote	denote	VERB
ejpam-802	98	5	e(x	e(x	NUM
ejpam-802	98	6	)	)	PUNCT
ejpam-802	99	1	=	=	SYM
ejpam-802	99	2	η	η	PROPN
ejpam-802	99	3	,	,	PUNCT
ejpam-802	99	4	v	v	PROPN
ejpam-802	99	5	(	(	PUNCT
ejpam-802	99	6	x	x	NOUN
ejpam-802	99	7	)	)	PUNCT
ejpam-802	99	8	=	=	SYM
ejpam-802	99	9	τ2	τ2	ADJ
ejpam-802	99	10	,	,	PUNCT
ejpam-802	99	11	and	and	CCONJ
ejpam-802	99	12	z	z	X
ejpam-802	99	13	=	=	SYM
ejpam-802	99	14	x−η	x−η	PROPN
ejpam-802	99	15	τ	τ	PROPN
ejpam-802	99	16	,	,	PUNCT
ejpam-802	99	17	we	we	PRON
ejpam-802	99	18	get	get	VERB
ejpam-802	99	19	e(z	e(z	PRON
ejpam-802	99	20	)	)	PUNCT
ejpam-802	100	1	=	=	SYM
ejpam-802	100	2	0	0	NUM
ejpam-802	100	3	and	and	CCONJ
ejpam-802	100	4	v	v	NOUN
ejpam-802	100	5	(	(	PUNCT
ejpam-802	100	6	z	z	NOUN
ejpam-802	100	7	)	)	PUNCT
ejpam-802	100	8	=	=	SYM
ejpam-802	101	1	1	1	X
ejpam-802	101	2	.	.	PUNCT
ejpam-802	101	3	(	(	PUNCT
ejpam-802	101	4	9	9	X
ejpam-802	101	5	)	)	PUNCT
ejpam-802	101	6	the	the	DET
ejpam-802	101	7	density	density	NOUN
ejpam-802	101	8	of	of	ADP
ejpam-802	101	9	z	z	NOUN
ejpam-802	101	10	reads	read	VERB
ejpam-802	101	11	f	f	PROPN
ejpam-802	101	12	(	(	PUNCT
ejpam-802	101	13	z;λ	z;λ	NUM
ejpam-802	101	14	)	)	PUNCT
ejpam-802	101	15	=	=	PUNCT
ejpam-802	102	1			PROPN
ejpam-802	102	2			ADP
ejpam-802	102	3			NOUN
ejpam-802	102	4	1p	1p	ADJ
ejpam-802	102	5	2π	2π	NOUN
ejpam-802	102	6	e	e	X
ejpam-802	102	7	−	−	PROPN
ejpam-802	102	8	(	(	PUNCT
ejpam-802	102	9	τz+η)2	τz+η)2	NOUN
ejpam-802	102	10	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	102	11	if	if	SCONJ
ejpam-802	102	12	z	z	NOUN
ejpam-802	102	13	≤	≤	NUM
ejpam-802	102	14	−η	−η	NOUN
ejpam-802	102	15	τ	τ	PROPN
ejpam-802	102	16	1p	1p	ADJ
ejpam-802	102	17	2π	2π	NOUN
ejpam-802	102	18	e	e	X
ejpam-802	102	19	−	−	PROPN
ejpam-802	102	20	(	(	PUNCT
ejpam-802	102	21	τz+η)2	τz+η)2	PROPN
ejpam-802	102	22	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	102	23	if	if	SCONJ
ejpam-802	102	24	z	z	PROPN
ejpam-802	102	25	>	>	X
ejpam-802	102	26	η	η	X
ejpam-802	102	27	τ	τ	X
ejpam-802	102	28	(	(	PUNCT
ejpam-802	102	29	10	10	NUM
ejpam-802	102	30	)	)	PUNCT
ejpam-802	102	31	j.	j.	PROPN
ejpam-802	102	32	chen	chen	PROPN
ejpam-802	102	33	/	/	SYM
ejpam-802	102	34	eur	eur	PROPN
ejpam-802	102	35	.	.	PUNCT
ejpam-802	103	1	j.	j.	PROPN
ejpam-802	103	2	pure	pure	PROPN
ejpam-802	103	3	appl	appl	PROPN
ejpam-802	103	4	.	.	PROPN
ejpam-802	103	5	math	math	PROPN
ejpam-802	103	6	,	,	PUNCT
ejpam-802	103	7	3	3	NUM
ejpam-802	103	8	(	(	PUNCT
ejpam-802	103	9	2010	2010	NUM
ejpam-802	103	10	)	)	PUNCT
ejpam-802	103	11	,	,	PUNCT
ejpam-802	103	12	531	531	NUM
ejpam-802	103	13	-	-	SYM
ejpam-802	103	14	540	540	NUM
ejpam-802	103	15	535	535	NUM
ejpam-802	103	16	where	where	SCONJ
ejpam-802	103	17	η	η	PROPN
ejpam-802	103	18	=	=	SYM
ejpam-802	103	19	4p	4p	PROPN
ejpam-802	103	20	2π	2π	PROPN
ejpam-802	104	1	λ	λ	X
ejpam-802	104	2	τ	τ	X
ejpam-802	104	3	=	=	SYM
ejpam-802	104	4	r	r	NOUN
ejpam-802	104	5	1	1	NUM
ejpam-802	104	6	+	+	NUM
ejpam-802	104	7	3λ2	3λ2	NUM
ejpam-802	104	8	−	−	NUM
ejpam-802	104	9	8	8	NUM
ejpam-802	104	10	π	π	NOUN
ejpam-802	104	11	λ2	λ2	PROPN
ejpam-802	104	12	.	.	PUNCT
ejpam-802	105	1	(	(	PUNCT
ejpam-802	105	2	11	11	NUM
ejpam-802	105	3	)	)	PUNCT
ejpam-802	105	4	notice	notice	VERB
ejpam-802	105	5	the	the	DET
ejpam-802	105	6	similarity	similarity	NOUN
ejpam-802	105	7	of	of	ADP
ejpam-802	105	8	this	this	DET
ejpam-802	105	9	density	density	NOUN
ejpam-802	105	10	compared	compare	VERB
ejpam-802	105	11	with	with	ADP
ejpam-802	105	12	the	the	DET
ejpam-802	105	13	skew	skew	NOUN
ejpam-802	105	14	-	-	PUNCT
ejpam-802	105	15	t	t	NOUN
ejpam-802	105	16	density	density	NOUN
ejpam-802	105	17	described	describe	VERB
ejpam-802	105	18	in	in	ADP
ejpam-802	105	19	(	(	PUNCT
ejpam-802	105	20	1	1	NUM
ejpam-802	105	21	)	)	PUNCT
ejpam-802	105	22	and	and	CCONJ
ejpam-802	105	23	(	(	PUNCT
ejpam-802	105	24	2	2	NUM
ejpam-802	105	25	)	)	PUNCT
ejpam-802	105	26	.	.	PUNCT
ejpam-802	106	1	if	if	SCONJ
ejpam-802	106	2	,	,	PUNCT
ejpam-802	106	3	for	for	ADP
ejpam-802	106	4	an	an	DET
ejpam-802	106	5	independent	independent	ADJ
ejpam-802	106	6	χ2	χ2	PROPN
ejpam-802	106	7	random	random	ADJ
ejpam-802	106	8	variable	variable	NOUN
ejpam-802	106	9	,	,	PUNCT
ejpam-802	106	10	the	the	DET
ejpam-802	106	11	skew	skew	ADJ
ejpam-802	106	12	normal	normal	ADJ
ejpam-802	106	13	defined	define	VERB
ejpam-802	106	14	above	above	ADV
ejpam-802	106	15	leads	lead	VERB
ejpam-802	106	16	to	to	ADP
ejpam-802	106	17	the	the	DET
ejpam-802	106	18	skew	skew	NOUN
ejpam-802	106	19	-	-	PUNCT
ejpam-802	106	20	t	t	NOUN
ejpam-802	106	21	density	density	NOUN
ejpam-802	106	22	in	in	ADP
ejpam-802	106	23	(	(	PUNCT
ejpam-802	106	24	1	1	NUM
ejpam-802	106	25	)	)	PUNCT
ejpam-802	106	26	,	,	PUNCT
ejpam-802	106	27	we	we	PRON
ejpam-802	106	28	can	can	AUX
ejpam-802	106	29	then	then	ADV
ejpam-802	106	30	establish	establish	VERB
ejpam-802	106	31	the	the	DET
ejpam-802	106	32	connection	connection	NOUN
ejpam-802	106	33	.	.	PUNCT
ejpam-802	107	1	with	with	ADP
ejpam-802	107	2	this	this	DET
ejpam-802	107	3	idea	idea	NOUN
ejpam-802	107	4	in	in	ADP
ejpam-802	107	5	mind	mind	NOUN
ejpam-802	107	6	,	,	PUNCT
ejpam-802	107	7	in	in	ADP
ejpam-802	107	8	what	what	PRON
ejpam-802	107	9	follows	follow	VERB
ejpam-802	107	10	,	,	PUNCT
ejpam-802	107	11	we	we	PRON
ejpam-802	107	12	will	will	AUX
ejpam-802	107	13	set	set	VERB
ejpam-802	107	14	up	up	ADP
ejpam-802	107	15	the	the	DET
ejpam-802	107	16	connection	connection	NOUN
ejpam-802	107	17	between	between	ADP
ejpam-802	107	18	the	the	DET
ejpam-802	107	19	skew	skew	ADJ
ejpam-802	107	20	normal	normal	ADJ
ejpam-802	107	21	model	model	NOUN
ejpam-802	107	22	(	(	PUNCT
ejpam-802	107	23	9)-(10	9)-(10	NUM
ejpam-802	107	24	)	)	PUNCT
ejpam-802	107	25	and	and	CCONJ
ejpam-802	107	26	the	the	DET
ejpam-802	107	27	skew	skew	NOUN
ejpam-802	107	28	-	-	PUNCT
ejpam-802	107	29	t	t	NOUN
ejpam-802	107	30	model	model	NOUN
ejpam-802	107	31	(	(	PUNCT
ejpam-802	107	32	1)-(2	1)-(2	NUM
ejpam-802	107	33	)	)	PUNCT
ejpam-802	107	34	.	.	PUNCT
ejpam-802	108	1	3	3	X
ejpam-802	108	2	.	.	X
ejpam-802	108	3	the	the	DET
ejpam-802	108	4	new	new	ADJ
ejpam-802	108	5	skew	skew	NOUN
ejpam-802	108	6	-	-	PUNCT
ejpam-802	108	7	normal	normal	ADJ
ejpam-802	108	8	and	and	CCONJ
ejpam-802	108	9	skew	skew	NOUN
ejpam-802	108	10	-	-	PUNCT
ejpam-802	108	11	t	t	NOUN
ejpam-802	108	12	models	model	NOUN
ejpam-802	108	13	in	in	ADP
ejpam-802	108	14	this	this	DET
ejpam-802	108	15	section	section	NOUN
ejpam-802	108	16	,	,	PUNCT
ejpam-802	108	17	we	we	PRON
ejpam-802	108	18	will	will	AUX
ejpam-802	108	19	derive	derive	VERB
ejpam-802	108	20	the	the	DET
ejpam-802	108	21	relation	relation	NOUN
ejpam-802	108	22	between	between	ADP
ejpam-802	108	23	the	the	DET
ejpam-802	108	24	skew	skew	ADJ
ejpam-802	108	25	normal	normal	ADJ
ejpam-802	108	26	model	model	NOUN
ejpam-802	108	27	(	(	PUNCT
ejpam-802	108	28	9)-(10	9)-(10	NUM
ejpam-802	108	29	)	)	PUNCT
ejpam-802	108	30	and	and	CCONJ
ejpam-802	108	31	the	the	DET
ejpam-802	108	32	skew	skew	NOUN
ejpam-802	108	33	-	-	PUNCT
ejpam-802	108	34	t	t	NOUN
ejpam-802	108	35	model	model	NOUN
ejpam-802	108	36	(	(	PUNCT
ejpam-802	108	37	1)-(2	1)-(2	NUM
ejpam-802	108	38	)	)	PUNCT
ejpam-802	108	39	,	,	PUNCT
ejpam-802	108	40	notice	notice	VERB
ejpam-802	108	41	that	that	SCONJ
ejpam-802	108	42	both	both	PRON
ejpam-802	108	43	of	of	ADP
ejpam-802	108	44	the	the	DET
ejpam-802	108	45	two	two	NUM
ejpam-802	108	46	models	model	NOUN
ejpam-802	108	47	are	be	AUX
ejpam-802	108	48	skew	skew	ADJ
ejpam-802	108	49	with	with	ADP
ejpam-802	108	50	zero	zero	NUM
ejpam-802	108	51	mean	mean	NOUN
ejpam-802	108	52	and	and	CCONJ
ejpam-802	108	53	unit	unit	NOUN
ejpam-802	108	54	variance	variance	NOUN
ejpam-802	108	55	.	.	PUNCT
ejpam-802	109	1	theorem	theorem	NOUN
ejpam-802	109	2	1	1	NUM
ejpam-802	109	3	.	.	PUNCT
ejpam-802	110	1	let	let	VERB
ejpam-802	110	2	x	x	PRON
ejpam-802	110	3	be	be	AUX
ejpam-802	110	4	a	a	DET
ejpam-802	110	5	random	random	ADJ
ejpam-802	110	6	variable	variable	NOUN
ejpam-802	110	7	following	follow	VERB
ejpam-802	110	8	the	the	DET
ejpam-802	110	9	skew	skew	ADJ
ejpam-802	110	10	normal	normal	ADJ
ejpam-802	110	11	density	density	NOUN
ejpam-802	110	12	of	of	ADP
ejpam-802	110	13	(	(	PUNCT
ejpam-802	110	14	4	4	NUM
ejpam-802	110	15	)	)	PUNCT
ejpam-802	110	16	,	,	PUNCT
ejpam-802	110	17	let	let	VERB
ejpam-802	110	18	q	q	PRON
ejpam-802	110	19	be	be	AUX
ejpam-802	110	20	a	a	DET
ejpam-802	110	21	χ2	χ2	ADJ
ejpam-802	110	22	random	random	ADJ
ejpam-802	110	23	variable	variable	NOUN
ejpam-802	110	24	with	with	ADP
ejpam-802	110	25	degrees	degree	NOUN
ejpam-802	110	26	of	of	ADP
ejpam-802	110	27	freedom	freedom	NOUN
ejpam-802	110	28	v	v	NOUN
ejpam-802	110	29	,	,	PUNCT
ejpam-802	110	30	and	and	CCONJ
ejpam-802	110	31	define	define	VERB
ejpam-802	110	32	t	t	NOUN
ejpam-802	110	33	=	=	PUNCT
ejpam-802	111	1	x	x	PUNCT
ejpam-802	111	2	æ	æ	X
ejpam-802	111	3	q	q	X
ejpam-802	111	4	v	v	NOUN
ejpam-802	111	5	.	.	PUNCT
ejpam-802	112	1	then	then	ADV
ejpam-802	112	2	e	e	X
ejpam-802	112	3	(	(	PUNCT
ejpam-802	112	4	æ	æ	PROPN
ejpam-802	112	5	v−2	v−2	PROPN
ejpam-802	112	6	v	v	ADP
ejpam-802	112	7	t	t	PROPN
ejpam-802	112	8	)	)	PUNCT
ejpam-802	112	9	=	=	SYM
ejpam-802	113	1	a	a	DET
ejpam-802	113	2	,	,	PUNCT
ejpam-802	113	3	v	v	NOUN
ejpam-802	113	4	(	(	PUNCT
ejpam-802	113	5	æ	æ	PROPN
ejpam-802	113	6	v−2	v−2	PROPN
ejpam-802	113	7	v	v	ADP
ejpam-802	113	8	t	t	NOUN
ejpam-802	113	9	)	)	PUNCT
ejpam-802	114	1	=	=	SYM
ejpam-802	114	2	b	b	NOUN
ejpam-802	114	3	,	,	PUNCT
ejpam-802	114	4	and	and	CCONJ
ejpam-802	114	5	t	t	NOUN
ejpam-802	114	6	∗	∗	NOUN
ejpam-802	114	7	=	=	PUNCT
ejpam-802	115	1	æ	æ	X
ejpam-802	115	2	v−2	v−2	PROPN
ejpam-802	115	3	v	v	ADP
ejpam-802	115	4	t−a	t−a	PROPN
ejpam-802	115	5	b	b	NOUN
ejpam-802	115	6	has	have	VERB
ejpam-802	115	7	the	the	DET
ejpam-802	115	8	density	density	NOUN
ejpam-802	115	9	given	give	VERB
ejpam-802	115	10	in	in	ADP
ejpam-802	115	11	(	(	PUNCT
ejpam-802	115	12	1)-(2	1)-(2	NUM
ejpam-802	115	13	)	)	PUNCT
ejpam-802	115	14	,	,	PUNCT
ejpam-802	115	15	where	where	SCONJ
ejpam-802	115	16	a	a	PRON
ejpam-802	115	17	and	and	CCONJ
ejpam-802	115	18	b	b	NOUN
ejpam-802	115	19	are	be	AUX
ejpam-802	115	20	the	the	DET
ejpam-802	115	21	constants	constant	NOUN
ejpam-802	115	22	given	give	VERB
ejpam-802	115	23	in	in	ADP
ejpam-802	115	24	(	(	PUNCT
ejpam-802	115	25	2	2	NUM
ejpam-802	115	26	)	)	PUNCT
ejpam-802	115	27	.	.	PUNCT
ejpam-802	116	1	proof	proof	NOUN
ejpam-802	116	2	.	.	PUNCT
ejpam-802	117	1	since	since	SCONJ
ejpam-802	117	2	x	x	PROPN
ejpam-802	117	3	and	and	CCONJ
ejpam-802	117	4	v	v	NOUN
ejpam-802	117	5	are	be	AUX
ejpam-802	117	6	independent	independent	ADJ
ejpam-802	117	7	,	,	PUNCT
ejpam-802	117	8	the	the	DET
ejpam-802	117	9	joint	joint	ADJ
ejpam-802	117	10	density	density	NOUN
ejpam-802	117	11	between	between	ADP
ejpam-802	117	12	x	x	PROPN
ejpam-802	117	13	and	and	CCONJ
ejpam-802	117	14	q	q	PROPN
ejpam-802	117	15	reads	read	NOUN
ejpam-802	117	16	f	f	X
ejpam-802	117	17	(	(	PUNCT
ejpam-802	117	18	x	x	INTJ
ejpam-802	117	19	,	,	PUNCT
ejpam-802	117	20	q	q	NOUN
ejpam-802	117	21	)	)	PUNCT
ejpam-802	117	22	=	=	PUNCT
ejpam-802	117	23			PROPN
ejpam-802	117	24			ADP
ejpam-802	117	25			NOUN
ejpam-802	117	26	1p	1p	ADJ
ejpam-802	117	27	2π	2π	NOUN
ejpam-802	117	28	e	e	X
ejpam-802	117	29	−	−	NOUN
ejpam-802	118	1	x2	x2	NOUN
ejpam-802	118	2	2(1−λ)2	2(1−λ)2	NUM
ejpam-802	118	3	1	1	NUM
ejpam-802	118	4	γ(v/2	γ(v/2	NOUN
ejpam-802	118	5	)	)	PUNCT
ejpam-802	118	6	2−v/2q	2−v/2q	NOUN
ejpam-802	118	7	1	1	NUM
ejpam-802	118	8	2	2	NUM
ejpam-802	118	9	−1e−q/2	−1e−q/2	NOUN
ejpam-802	118	10	if	if	SCONJ
ejpam-802	118	11	x	x	SYM
ejpam-802	118	12	≤	≤	X
ejpam-802	118	13	0,q	0,q	PUNCT
ejpam-802	118	14	>	>	X
ejpam-802	118	15	0	0	NUM
ejpam-802	119	1	1p	1p	NUM
ejpam-802	119	2	2π	2π	NOUN
ejpam-802	119	3	e	e	X
ejpam-802	119	4	−	−	NOUN
ejpam-802	120	1	x2	x2	NOUN
ejpam-802	120	2	2(1+λ)2	2(1+λ)2	NUM
ejpam-802	120	3	1	1	NUM
ejpam-802	120	4	γ(v/2	γ(v/2	NOUN
ejpam-802	120	5	)	)	PUNCT
ejpam-802	120	6	2−v/2q	2−v/2q	NOUN
ejpam-802	120	7	1	1	NUM
ejpam-802	120	8	2	2	NUM
ejpam-802	120	9	−1e−q/2	−1e−q/2	NOUN
ejpam-802	120	10	if	if	SCONJ
ejpam-802	120	11	x	x	PROPN
ejpam-802	120	12	>	>	X
ejpam-802	120	13	0,q	0,q	X
ejpam-802	120	14	>	>	PUNCT
ejpam-802	120	15	0	0	X
ejpam-802	120	16	.	.	PUNCT
ejpam-802	121	1	(	(	PUNCT
ejpam-802	121	2	12	12	NUM
ejpam-802	121	3	)	)	PUNCT
ejpam-802	121	4	now	now	ADV
ejpam-802	121	5	,	,	PUNCT
ejpam-802	121	6	let	let	VERB
ejpam-802	121	7	(	(	PUNCT
ejpam-802	121	8	t	t	NOUN
ejpam-802	121	9	=	=	PUNCT
ejpam-802	121	10	x	x	PUNCT
ejpam-802	122	1	æ	æ	X
ejpam-802	122	2	q	q	X
ejpam-802	122	3	v	v	NUM
ejpam-802	122	4	u	u	NOUN
ejpam-802	122	5	=	=	NOUN
ejpam-802	122	6	q	q	NOUN
ejpam-802	122	7	,	,	PUNCT
ejpam-802	122	8	we	we	PRON
ejpam-802	122	9	have	have	VERB
ejpam-802	122	10	the	the	DET
ejpam-802	122	11	determinant	determinant	NOUN
ejpam-802	122	12	of	of	ADP
ejpam-802	122	13	the	the	DET
ejpam-802	122	14	jacobian	jacobian	NOUN
ejpam-802	122	15	for	for	ADP
ejpam-802	122	16	the	the	DET
ejpam-802	122	17	transformation	transformation	NOUN
ejpam-802	122	18	from	from	ADP
ejpam-802	122	19	(	(	PUNCT
ejpam-802	122	20	x	x	INTJ
ejpam-802	122	21	,	,	PUNCT
ejpam-802	122	22	q	q	NOUN
ejpam-802	122	23	)	)	PUNCT
ejpam-802	122	24	to	to	ADP
ejpam-802	122	25	(	(	PUNCT
ejpam-802	122	26	t	t	PROPN
ejpam-802	122	27	,	,	PUNCT
ejpam-802	122	28	u	u	NOUN
ejpam-802	122	29	)	)	PUNCT
ejpam-802	122	30	as	as	ADP
ejpam-802	122	31	�	�	PROPN
ejpam-802	122	32	�	�	PROPN
ejpam-802	122	33	�	�	PROPN
ejpam-802	122	34	�	�	PROPN
ejpam-802	122	35	�	�	PROPN
ejpam-802	122	36	∂	∂	NUM
ejpam-802	122	37	x	x	SYM
ejpam-802	122	38	∂	∂	NUM
ejpam-802	122	39	t	t	PROPN
ejpam-802	122	40	∂	∂	NUM
ejpam-802	122	41	x	x	SYM
ejpam-802	122	42	∂	∂	NUM
ejpam-802	122	43	u	u	NOUN
ejpam-802	122	44	∂	∂	PROPN
ejpam-802	122	45	q	q	NOUN
ejpam-802	122	46	∂	∂	PROPN
ejpam-802	122	47	t	t	PROPN
ejpam-802	122	48	∂	∂	PRON
ejpam-802	122	49	q	q	NOUN
ejpam-802	122	50	∂	∂	NUM
ejpam-802	122	51	u	u	PROPN
ejpam-802	122	52	�	�	PROPN
ejpam-802	122	53	�	�	PROPN
ejpam-802	122	54	�	�	PROPN
ejpam-802	122	55	�	�	PROPN
ejpam-802	122	56	�	�	PROPN
ejpam-802	122	57	=	=	SYM
ejpam-802	122	58	�	�	PROPN
ejpam-802	122	59	�	�	PROPN
ejpam-802	122	60	�	�	PROPN
ejpam-802	122	61	�	�	PROPN
ejpam-802	122	62	�	�	PROPN
ejpam-802	122	63	p	p	NOUN
ejpam-802	122	64	u	u	PROPN
ejpam-802	122	65	v	v	NUM
ejpam-802	122	66	1	1	NUM
ejpam-802	122	67	2	2	NUM
ejpam-802	122	68	tp	tp	NOUN
ejpam-802	122	69	v	v	ADP
ejpam-802	122	70	u−1/2	u−1/2	PROPN
ejpam-802	122	71	0	0	NUM
ejpam-802	122	72	1	1	NUM
ejpam-802	122	73	�	�	PROPN
ejpam-802	122	74	�	�	PROPN
ejpam-802	122	75	�	�	PROPN
ejpam-802	122	76	�	�	PROPN
ejpam-802	122	77	�	�	PROPN
ejpam-802	122	78	=	=	SYM
ejpam-802	122	79	ç	ç	PUNCT
ejpam-802	122	80	u	u	NOUN
ejpam-802	122	81	v	v	ADP
ejpam-802	122	82	j.	j.	PROPN
ejpam-802	122	83	chen	chen	PROPN
ejpam-802	122	84	/	/	PUNCT
ejpam-802	122	85	eur	eur	PROPN
ejpam-802	122	86	.	.	PUNCT
ejpam-802	123	1	j.	j.	PROPN
ejpam-802	123	2	pure	pure	PROPN
ejpam-802	123	3	appl	appl	PROPN
ejpam-802	123	4	.	.	PROPN
ejpam-802	123	5	math	math	PROPN
ejpam-802	123	6	,	,	PUNCT
ejpam-802	123	7	3	3	NUM
ejpam-802	123	8	(	(	PUNCT
ejpam-802	123	9	2010	2010	NUM
ejpam-802	123	10	)	)	PUNCT
ejpam-802	123	11	,	,	PUNCT
ejpam-802	123	12	531	531	NUM
ejpam-802	123	13	-	-	SYM
ejpam-802	123	14	540	540	NUM
ejpam-802	123	15	536	536	NUM
ejpam-802	123	16	thus	thus	ADV
ejpam-802	123	17	ft	ft	PROPN
ejpam-802	123	18	(	(	PUNCT
ejpam-802	123	19	t	t	PROPN
ejpam-802	123	20	)	)	PUNCT
ejpam-802	123	21	=	=	SYM
ejpam-802	124	1	∫	∫	PROPN
ejpam-802	125	1	∞	∞	NUM
ejpam-802	125	2	0	0	NUM
ejpam-802	126	1	f	f	PROPN
ejpam-802	126	2	(	(	PUNCT
ejpam-802	126	3	t	t	NOUN
ejpam-802	126	4	ç	ç	X
ejpam-802	126	5	u	u	NOUN
ejpam-802	126	6	v	v	NOUN
ejpam-802	126	7	,	,	PUNCT
ejpam-802	126	8	u	u	NOUN
ejpam-802	126	9	)	)	PUNCT
ejpam-802	126	10	(	(	PUNCT
ejpam-802	126	11	u	u	NOUN
ejpam-802	126	12	v	v	NOUN
ejpam-802	126	13	)	)	PUNCT
ejpam-802	126	14	1	1	NUM
ejpam-802	126	15	2	2	NUM
ejpam-802	126	16	du	du	NOUN
ejpam-802	126	17	,	,	PUNCT
ejpam-802	126	18	(	(	PUNCT
ejpam-802	126	19	13	13	NUM
ejpam-802	126	20	)	)	PUNCT
ejpam-802	126	21	where	where	SCONJ
ejpam-802	126	22	f	f	PROPN
ejpam-802	126	23	(	(	PUNCT
ejpam-802	126	24	x	x	INTJ
ejpam-802	126	25	,	,	PUNCT
ejpam-802	126	26	v	v	NOUN
ejpam-802	126	27	)	)	PUNCT
ejpam-802	126	28	is	be	AUX
ejpam-802	126	29	the	the	DET
ejpam-802	126	30	joint	joint	ADJ
ejpam-802	126	31	density	density	NOUN
ejpam-802	126	32	function	function	NOUN
ejpam-802	126	33	in	in	ADP
ejpam-802	126	34	(	(	PUNCT
ejpam-802	126	35	11	11	NUM
ejpam-802	126	36	)	)	PUNCT
ejpam-802	126	37	.	.	PUNCT
ejpam-802	127	1	when	when	SCONJ
ejpam-802	127	2	t	t	PROPN
ejpam-802	127	3	>	>	X
ejpam-802	127	4	0	0	PROPN
ejpam-802	127	5	,	,	PUNCT
ejpam-802	127	6	equation	equation	NOUN
ejpam-802	127	7	(	(	PUNCT
ejpam-802	127	8	12	12	NUM
ejpam-802	127	9	)	)	PUNCT
ejpam-802	127	10	becomes	become	VERB
ejpam-802	127	11	ft	ft	PROPN
ejpam-802	127	12	(	(	PUNCT
ejpam-802	127	13	t	t	NOUN
ejpam-802	127	14	)	)	PUNCT
ejpam-802	127	15	=	=	PUNCT
ejpam-802	128	1	1p	1p	NUM
ejpam-802	128	2	2π	2π	NUM
ejpam-802	128	3	1	1	NUM
ejpam-802	128	4	γ(v/2	γ(v/2	NOUN
ejpam-802	128	5	)	)	PUNCT
ejpam-802	128	6	2−v/2	2−v/2	NUM
ejpam-802	129	1	∫	∫	NOUN
ejpam-802	130	1	∞	∞	NOUN
ejpam-802	130	2	0	0	PUNCT
ejpam-802	131	1	e	e	X
ejpam-802	131	2	−	−	PROPN
ejpam-802	131	3	t2u	t2u	PUNCT
ejpam-802	131	4	2v(1+λ)2	2v(1+λ)2	NUM
ejpam-802	131	5	u	u	NOUN
ejpam-802	131	6	1	1	NUM
ejpam-802	131	7	2	2	NUM
ejpam-802	131	8	−1e−u/2	−1e−u/2	NOUN
ejpam-802	131	9	(	(	PUNCT
ejpam-802	131	10	u	u	NOUN
ejpam-802	131	11	v	v	NOUN
ejpam-802	131	12	)	)	PUNCT
ejpam-802	131	13	1/2du	1/2du	NUM
ejpam-802	131	14	=	=	NOUN
ejpam-802	132	1	1p	1p	NUM
ejpam-802	132	2	2π	2π	NUM
ejpam-802	132	3	1	1	NUM
ejpam-802	132	4	γ(v/2	γ(v/2	NOUN
ejpam-802	132	5	)	)	PUNCT
ejpam-802	132	6	2−v/2	2−v/2	NUM
ejpam-802	132	7	(	(	PUNCT
ejpam-802	132	8	1	1	NUM
ejpam-802	132	9	v	v	NOUN
ejpam-802	132	10	)	)	PUNCT
ejpam-802	132	11	1/2	1/2	NUM
ejpam-802	132	12	∫	∫	NOUN
ejpam-802	132	13	∞	∞	NOUN
ejpam-802	132	14	0	0	PUNCT
ejpam-802	133	1	e	e	NOUN
ejpam-802	133	2	−	−	PROPN
ejpam-802	133	3	1	1	NUM
ejpam-802	133	4	2	2	NUM
ejpam-802	133	5	(	(	PUNCT
ejpam-802	133	6	t2	t2	PROPN
ejpam-802	133	7	(	(	PUNCT
ejpam-802	133	8	1+λ)2v	1+λ)2v	NUM
ejpam-802	133	9	+1)u	+1)u	NUM
ejpam-802	133	10	u	u	NOUN
ejpam-802	133	11	v−1	v−1	PROPN
ejpam-802	133	12	2	2	NUM
ejpam-802	133	13	du	du	NOUN
ejpam-802	133	14	=	=	PUNCT
ejpam-802	133	15	1p	1p	ADJ
ejpam-802	133	16	2π	2π	NUM
ejpam-802	133	17	1	1	NUM
ejpam-802	133	18	γ(v/2	γ(v/2	NOUN
ejpam-802	133	19	)	)	PUNCT
ejpam-802	133	20	2−v/2	2−v/2	NUM
ejpam-802	133	21	(	(	PUNCT
ejpam-802	133	22	1	1	NUM
ejpam-802	133	23	v	v	NOUN
ejpam-802	133	24	)	)	PUNCT
ejpam-802	133	25	1/2	1/2	NUM
ejpam-802	133	26	∫	∫	NOUN
ejpam-802	133	27	∞	∞	NUM
ejpam-802	133	28	0	0	NUM
ejpam-802	133	29	u	u	NOUN
ejpam-802	133	30	v+1	v+1	NUM
ejpam-802	133	31	2	2	NUM
ejpam-802	133	32	−1e	−1e	NOUN
ejpam-802	133	33	−	−	NOUN
ejpam-802	133	34	1	1	NUM
ejpam-802	133	35	2	2	NUM
ejpam-802	133	36	(	(	PUNCT
ejpam-802	133	37	t2	t2	PROPN
ejpam-802	133	38	(	(	PUNCT
ejpam-802	133	39	1+λ)2v	1+λ)2v	NUM
ejpam-802	133	40	+1)u	+1)u	NUM
ejpam-802	133	41	du	du	PROPN
ejpam-802	134	1	=	=	PUNCT
ejpam-802	135	1	1p	1p	ADJ
ejpam-802	135	2	2π	2π	NUM
ejpam-802	135	3	1	1	NUM
ejpam-802	135	4	γ(v/2	γ(v/2	NOUN
ejpam-802	135	5	)	)	PUNCT
ejpam-802	135	6	2−v/2	2−v/2	NUM
ejpam-802	135	7	(	(	PUNCT
ejpam-802	135	8	1	1	NUM
ejpam-802	135	9	v	v	NOUN
ejpam-802	135	10	)	)	PUNCT
ejpam-802	135	11	1/2	1/2	NUM
ejpam-802	135	12	(	(	PUNCT
ejpam-802	135	13	1	1	NUM
ejpam-802	135	14	2	2	NUM
ejpam-802	135	15	(	(	PUNCT
ejpam-802	135	16	t2	t2	PROPN
ejpam-802	135	17	(	(	PUNCT
ejpam-802	135	18	1+λ)2v	1+λ)2v	INTJ
ejpam-802	135	19	+	+	NUM
ejpam-802	135	20	1))−	1))−	NUM
ejpam-802	135	21	v+1	v+1	NUM
ejpam-802	135	22	2	2	NUM
ejpam-802	135	23	γ	γ	X
ejpam-802	135	24	(	(	PUNCT
ejpam-802	135	25	v+	v+	ADP
ejpam-802	135	26	1	1	NUM
ejpam-802	135	27	2	2	NUM
ejpam-802	135	28	)	)	PUNCT
ejpam-802	135	29	=	=	PUNCT
ejpam-802	136	1	γ	γ	X
ejpam-802	136	2	(	(	PUNCT
ejpam-802	136	3	v+1	v+1	NUM
ejpam-802	136	4	2	2	X
ejpam-802	136	5	)	)	PUNCT
ejpam-802	136	6	γ(v/2	γ(v/2	NOUN
ejpam-802	136	7	)	)	PUNCT
ejpam-802	137	1	p	p	X
ejpam-802	137	2	πv	πv	X
ejpam-802	137	3	(	(	PUNCT
ejpam-802	137	4	t2	t2	PROPN
ejpam-802	137	5	(	(	PUNCT
ejpam-802	137	6	1+λ)2v	1+λ)2v	INTJ
ejpam-802	137	7	+	+	PROPN
ejpam-802	137	8	1)−	1)−	NUM
ejpam-802	137	9	v+1	v+1	NUM
ejpam-802	137	10	2	2	NUM
ejpam-802	137	11	.	.	PUNCT
ejpam-802	138	1	(	(	PUNCT
ejpam-802	138	2	14	14	NUM
ejpam-802	138	3	)	)	PUNCT
ejpam-802	138	4	similarly	similarly	ADV
ejpam-802	138	5	,	,	PUNCT
ejpam-802	138	6	when	when	SCONJ
ejpam-802	138	7	t	t	PROPN
ejpam-802	138	8	<	<	X
ejpam-802	138	9	0	0	PROPN
ejpam-802	138	10	,	,	PUNCT
ejpam-802	138	11	equation	equation	NOUN
ejpam-802	138	12	(	(	PUNCT
ejpam-802	138	13	12	12	NUM
ejpam-802	138	14	)	)	PUNCT
ejpam-802	138	15	becomes	become	VERB
ejpam-802	138	16	ft	ft	PROPN
ejpam-802	138	17	(	(	PUNCT
ejpam-802	138	18	t	t	PROPN
ejpam-802	138	19	)	)	PUNCT
ejpam-802	138	20	=	=	PUNCT
ejpam-802	139	1	γ	γ	X
ejpam-802	139	2	(	(	PUNCT
ejpam-802	139	3	v+1	v+1	NUM
ejpam-802	139	4	2	2	X
ejpam-802	139	5	)	)	PUNCT
ejpam-802	139	6	γ(v/2	γ(v/2	NOUN
ejpam-802	139	7	)	)	PUNCT
ejpam-802	140	1	p	p	X
ejpam-802	140	2	πv	πv	PROPN
ejpam-802	140	3	[	[	PUNCT
ejpam-802	140	4	t2	t2	PROPN
ejpam-802	140	5	(	(	PUNCT
ejpam-802	140	6	1−λ)2v	1−λ)2v	NUM
ejpam-802	140	7	+	+	NUM
ejpam-802	140	8	1]−	1]−	NUM
ejpam-802	140	9	v+1	v+1	NUM
ejpam-802	140	10	2	2	NUM
ejpam-802	140	11	.	.	PUNCT
ejpam-802	141	1	(	(	PUNCT
ejpam-802	141	2	15	15	X
ejpam-802	141	3	)	)	PUNCT
ejpam-802	141	4	combining	combine	VERB
ejpam-802	141	5	(	(	PUNCT
ejpam-802	141	6	14	14	NUM
ejpam-802	141	7	)	)	PUNCT
ejpam-802	141	8	and	and	CCONJ
ejpam-802	141	9	(	(	PUNCT
ejpam-802	141	10	15	15	X
ejpam-802	141	11	)	)	PUNCT
ejpam-802	141	12	yields	yield	NOUN
ejpam-802	141	13	ft	ft	X
ejpam-802	141	14	(	(	PUNCT
ejpam-802	141	15	t;λ	t;λ	ADV
ejpam-802	141	16	)	)	PUNCT
ejpam-802	141	17	=	=	PUNCT
ejpam-802	142	1			PROPN
ejpam-802	142	2			ADP
ejpam-802	142	3			NOUN
ejpam-802	142	4	γ	γ	X
ejpam-802	142	5	(	(	PUNCT
ejpam-802	142	6	v+1	v+1	NUM
ejpam-802	142	7	2	2	X
ejpam-802	142	8	)	)	PUNCT
ejpam-802	142	9	γ(v/2	γ(v/2	NOUN
ejpam-802	142	10	)	)	PUNCT
ejpam-802	142	11	p	p	X
ejpam-802	142	12	πv	πv	X
ejpam-802	142	13	(	(	PUNCT
ejpam-802	142	14	t2	t2	PROPN
ejpam-802	142	15	(	(	PUNCT
ejpam-802	142	16	1−λ)2	1−λ)2	NUM
ejpam-802	142	17	v	v	NOUN
ejpam-802	142	18	+	+	PROPN
ejpam-802	142	19	1)−	1)−	NUM
ejpam-802	142	20	v+1	v+1	NUM
ejpam-802	142	21	2	2	NUM
ejpam-802	142	22	if	if	SCONJ
ejpam-802	142	23	t	t	PROPN
ejpam-802	142	24	<	<	X
ejpam-802	142	25	0	0	PUNCT
ejpam-802	142	26	γ	γ	X
ejpam-802	142	27	(	(	PUNCT
ejpam-802	142	28	v+1	v+1	NUM
ejpam-802	142	29	2	2	X
ejpam-802	142	30	)	)	PUNCT
ejpam-802	142	31	γ(v/2	γ(v/2	NOUN
ejpam-802	142	32	)	)	PUNCT
ejpam-802	142	33	p	p	X
ejpam-802	142	34	πv	πv	X
ejpam-802	142	35	(	(	PUNCT
ejpam-802	142	36	t2	t2	PROPN
ejpam-802	142	37	(	(	PUNCT
ejpam-802	142	38	1+λ)2	1+λ)2	NUM
ejpam-802	142	39	v	v	NOUN
ejpam-802	142	40	+	+	PROPN
ejpam-802	142	41	1)−	1)−	NUM
ejpam-802	142	42	v+1	v+1	NUM
ejpam-802	142	43	2	2	NUM
ejpam-802	142	44	if	if	SCONJ
ejpam-802	142	45	t	t	PROPN
ejpam-802	142	46	>	>	X
ejpam-802	142	47	0	0	PROPN
ejpam-802	142	48	.	.	PUNCT
ejpam-802	143	1	(	(	PUNCT
ejpam-802	143	2	16	16	NUM
ejpam-802	143	3	)	)	PUNCT
ejpam-802	143	4	now	now	ADV
ejpam-802	143	5	,	,	PUNCT
ejpam-802	143	6	consider	consider	VERB
ejpam-802	143	7	y	y	NOUN
ejpam-802	143	8	=	=	PUNCT
ejpam-802	144	1	æ	æ	PROPN
ejpam-802	144	2	v−2	v−2	PROPN
ejpam-802	144	3	v	v	ADP
ejpam-802	144	4	t	t	PROPN
ejpam-802	144	5	,	,	PUNCT
ejpam-802	144	6	due	due	ADP
ejpam-802	144	7	to	to	ADP
ejpam-802	144	8	(	(	PUNCT
ejpam-802	144	9	16	16	NUM
ejpam-802	144	10	)	)	PUNCT
ejpam-802	144	11	,	,	PUNCT
ejpam-802	144	12	the	the	DET
ejpam-802	144	13	density	density	NOUN
ejpam-802	144	14	of	of	ADP
ejpam-802	144	15	y	y	PROPN
ejpam-802	144	16	reads	read	VERB
ejpam-802	144	17	fy	fy	PROPN
ejpam-802	144	18	(	(	PUNCT
ejpam-802	144	19	y;λ	y;λ	PROPN
ejpam-802	144	20	)	)	PUNCT
ejpam-802	144	21	=	=	PUNCT
ejpam-802	145	1			PROPN
ejpam-802	145	2			ADP
ejpam-802	145	3			NOUN
ejpam-802	145	4	γ	γ	X
ejpam-802	145	5	(	(	PUNCT
ejpam-802	145	6	v+1	v+1	NUM
ejpam-802	145	7	2	2	X
ejpam-802	145	8	)	)	PUNCT
ejpam-802	145	9	γ(v/2	γ(v/2	NOUN
ejpam-802	145	10	)	)	PUNCT
ejpam-802	145	11	p	p	X
ejpam-802	145	12	π(v−2	π(v−2	NOUN
ejpam-802	145	13	)	)	PUNCT
ejpam-802	145	14	(	(	PUNCT
ejpam-802	145	15	t2	t2	PROPN
ejpam-802	145	16	(	(	PUNCT
ejpam-802	145	17	1−λ)2(v−2	1−λ)2(v−2	NUM
ejpam-802	145	18	)	)	PUNCT
ejpam-802	145	19	+	+	PROPN
ejpam-802	146	1	1)−	1)−	NUM
ejpam-802	146	2	v+1	v+1	NUM
ejpam-802	146	3	2	2	NUM
ejpam-802	146	4	if	if	SCONJ
ejpam-802	146	5	t	t	PROPN
ejpam-802	146	6	<	<	X
ejpam-802	146	7	0	0	PUNCT
ejpam-802	146	8	γ	γ	X
ejpam-802	146	9	(	(	PUNCT
ejpam-802	146	10	v+1	v+1	NUM
ejpam-802	146	11	2	2	X
ejpam-802	146	12	)	)	PUNCT
ejpam-802	146	13	γ(v/2	γ(v/2	NOUN
ejpam-802	146	14	)	)	PUNCT
ejpam-802	146	15	p	p	X
ejpam-802	146	16	π(v−2	π(v−2	NOUN
ejpam-802	146	17	)	)	PUNCT
ejpam-802	146	18	(	(	PUNCT
ejpam-802	146	19	t2	t2	PROPN
ejpam-802	146	20	(	(	PUNCT
ejpam-802	146	21	1+λ)2(v−2	1+λ)2(v−2	NUM
ejpam-802	146	22	)	)	PUNCT
ejpam-802	146	23	+	+	PROPN
ejpam-802	147	1	1)−	1)−	NUM
ejpam-802	147	2	v+1	v+1	NUM
ejpam-802	147	3	2	2	NUM
ejpam-802	147	4	if	if	SCONJ
ejpam-802	147	5	t	t	PROPN
ejpam-802	147	6	>	>	X
ejpam-802	147	7	0	0	NUM
ejpam-802	147	8	.	.	PUNCT
ejpam-802	148	1	(	(	PUNCT
ejpam-802	148	2	17	17	NUM
ejpam-802	148	3	)	)	PUNCT
ejpam-802	148	4	denote	denote	NOUN
ejpam-802	148	5	c	c	NOUN
ejpam-802	148	6	=	=	SYM
ejpam-802	148	7	γ	γ	X
ejpam-802	148	8	(	(	PUNCT
ejpam-802	148	9	v+1	v+1	NUM
ejpam-802	148	10	2	2	X
ejpam-802	148	11	)	)	PUNCT
ejpam-802	148	12	γ(v/2	γ(v/2	NOUN
ejpam-802	148	13	)	)	PUNCT
ejpam-802	148	14	p	p	NOUN
ejpam-802	148	15	π(v−	π(v−	PROPN
ejpam-802	148	16	2	2	NUM
ejpam-802	148	17	)	)	PUNCT
ejpam-802	148	18	,	,	PUNCT
ejpam-802	148	19	similar	similar	ADJ
ejpam-802	148	20	to	to	ADP
ejpam-802	148	21	the	the	DET
ejpam-802	148	22	derivation	derivation	NOUN
ejpam-802	148	23	in	in	ADP
ejpam-802	148	24	(	(	PUNCT
ejpam-802	148	25	6)-(8	6)-(8	NUM
ejpam-802	148	26	)	)	PUNCT
ejpam-802	148	27	,	,	PUNCT
ejpam-802	148	28	we	we	PRON
ejpam-802	148	29	have	have	VERB
ejpam-802	148	30	e(y	e(y	ADJ
ejpam-802	148	31	)	)	PUNCT
ejpam-802	149	1	=	=	PUNCT
ejpam-802	149	2	4λc	4λc	ADJ
ejpam-802	149	3	v−	v−	NOUN
ejpam-802	149	4	2	2	NUM
ejpam-802	149	5	v−	v−	NOUN
ejpam-802	149	6	1	1	NUM
ejpam-802	149	7	=	=	NOUN
ejpam-802	149	8	a	a	DET
ejpam-802	149	9	v	v	X
ejpam-802	149	10	(	(	PUNCT
ejpam-802	149	11	y	y	PROPN
ejpam-802	149	12	)	)	PUNCT
ejpam-802	149	13	=	=	PUNCT
ejpam-802	150	1	p	p	VERB
ejpam-802	150	2	1	1	NUM
ejpam-802	150	3	+	+	NUM
ejpam-802	150	4	3λ2−	3λ2−	NUM
ejpam-802	150	5	a2	a2	PROPN
ejpam-802	150	6	=	=	PROPN
ejpam-802	150	7	b.	b.	PROPN
ejpam-802	150	8	(	(	PUNCT
ejpam-802	150	9	18	18	NUM
ejpam-802	150	10	)	)	PUNCT
ejpam-802	150	11	standardizing	standardize	VERB
ejpam-802	150	12	the	the	DET
ejpam-802	150	13	random	random	ADJ
ejpam-802	150	14	variable	variable	NOUN
ejpam-802	150	15	y	y	NOUN
ejpam-802	150	16	by	by	ADP
ejpam-802	150	17	setting	set	VERB
ejpam-802	150	18	t	t	NOUN
ejpam-802	150	19	∗	∗	NOUN
ejpam-802	150	20	=	=	PUNCT
ejpam-802	151	1	y−a	y−a	X
ejpam-802	151	2	b	b	NOUN
ejpam-802	151	3	gets	get	VERB
ejpam-802	151	4	the	the	DET
ejpam-802	151	5	density	density	NOUN
ejpam-802	151	6	in	in	ADP
ejpam-802	151	7	equations	equation	NOUN
ejpam-802	151	8	(	(	PUNCT
ejpam-802	151	9	1)(2	1)(2	NUM
ejpam-802	151	10	)	)	PUNCT
ejpam-802	151	11	.	.	PUNCT
ejpam-802	152	1	this	this	PRON
ejpam-802	152	2	completes	complete	VERB
ejpam-802	152	3	the	the	DET
ejpam-802	152	4	proof	proof	NOUN
ejpam-802	152	5	of	of	ADP
ejpam-802	152	6	this	this	DET
ejpam-802	152	7	theorem	theorem	NOUN
ejpam-802	152	8	.	.	PUNCT
ejpam-802	153	1	j.	j.	PROPN
ejpam-802	153	2	chen	chen	PROPN
ejpam-802	153	3	/	/	SYM
ejpam-802	153	4	eur	eur	PROPN
ejpam-802	153	5	.	.	PUNCT
ejpam-802	154	1	j.	j.	PROPN
ejpam-802	154	2	pure	pure	PROPN
ejpam-802	154	3	appl	appl	PROPN
ejpam-802	154	4	.	.	PROPN
ejpam-802	154	5	math	math	PROPN
ejpam-802	154	6	,	,	PUNCT
ejpam-802	154	7	3	3	NUM
ejpam-802	154	8	(	(	PUNCT
ejpam-802	154	9	2010	2010	NUM
ejpam-802	154	10	)	)	PUNCT
ejpam-802	154	11	,	,	PUNCT
ejpam-802	154	12	531	531	NUM
ejpam-802	154	13	-	-	SYM
ejpam-802	154	14	540	540	NUM
ejpam-802	154	15	537	537	NUM
ejpam-802	154	16	4	4	NUM
ejpam-802	154	17	.	.	PUNCT
ejpam-802	155	1	an	an	DET
ejpam-802	155	2	extension	extension	NOUN
ejpam-802	155	3	on	on	ADP
ejpam-802	155	4	the	the	DET
ejpam-802	155	5	skewness	skewness	NOUN
ejpam-802	155	6	formulation	formulation	NOUN
ejpam-802	155	7	the	the	DET
ejpam-802	155	8	formulation	formulation	NOUN
ejpam-802	155	9	of	of	ADP
ejpam-802	155	10	the	the	DET
ejpam-802	155	11	skew	skew	ADJ
ejpam-802	155	12	normal	normal	ADJ
ejpam-802	155	13	model	model	NOUN
ejpam-802	155	14	(	(	PUNCT
ejpam-802	155	15	4	4	X
ejpam-802	155	16	)	)	PUNCT
ejpam-802	155	17	shares	share	NOUN
ejpam-802	155	18	the	the	DET
ejpam-802	155	19	same	same	ADJ
ejpam-802	155	20	principle	principle	NOUN
ejpam-802	155	21	as	as	ADP
ejpam-802	155	22	the	the	DET
ejpam-802	155	23	formulation	formulation	NOUN
ejpam-802	155	24	of	of	ADP
ejpam-802	155	25	the	the	DET
ejpam-802	155	26	skew	skew	NOUN
ejpam-802	155	27	-	-	PUNCT
ejpam-802	155	28	t	t	NOUN
ejpam-802	155	29	model	model	NOUN
ejpam-802	155	30	in	in	ADP
ejpam-802	155	31	[	[	X
ejpam-802	155	32	10	10	NUM
ejpam-802	155	33	]	]	PUNCT
ejpam-802	155	34	.	.	PUNCT
ejpam-802	156	1	this	this	DET
ejpam-802	156	2	way	way	NOUN
ejpam-802	156	3	of	of	ADP
ejpam-802	156	4	modeling	model	VERB
ejpam-802	156	5	skewness	skewness	NOUN
ejpam-802	156	6	is	be	AUX
ejpam-802	156	7	more	more	ADV
ejpam-802	156	8	flexible	flexible	ADJ
ejpam-802	156	9	because	because	SCONJ
ejpam-802	156	10	it	it	PRON
ejpam-802	156	11	models	model	VERB
ejpam-802	156	12	the	the	DET
ejpam-802	156	13	shapes	shape	NOUN
ejpam-802	156	14	of	of	ADP
ejpam-802	156	15	the	the	DET
ejpam-802	156	16	positive	positive	ADJ
ejpam-802	156	17	half	half	NOUN
ejpam-802	156	18	and	and	CCONJ
ejpam-802	156	19	the	the	DET
ejpam-802	156	20	negative	negative	ADJ
ejpam-802	156	21	half	half	NOUN
ejpam-802	156	22	using	use	VERB
ejpam-802	156	23	skew	skew	ADJ
ejpam-802	156	24	factors	factor	NOUN
ejpam-802	156	25	1	1	NUM
ejpam-802	156	26	1+λ	1+λ	NUM
ejpam-802	156	27	and	and	CCONJ
ejpam-802	156	28	1	1	NUM
ejpam-802	156	29	1−λ	1−λ	NUM
ejpam-802	156	30	,	,	PUNCT
ejpam-802	156	31	respectively	respectively	ADV
ejpam-802	156	32	.	.	PUNCT
ejpam-802	157	1	the	the	DET
ejpam-802	157	2	following	follow	VERB
ejpam-802	157	3	proposition	proposition	NOUN
ejpam-802	157	4	extends	extend	VERB
ejpam-802	157	5	this	this	DET
ejpam-802	157	6	method	method	NOUN
ejpam-802	157	7	of	of	ADP
ejpam-802	157	8	skewness	skewness	NOUN
ejpam-802	157	9	formulation	formulation	NOUN
ejpam-802	157	10	into	into	ADP
ejpam-802	157	11	a	a	DET
ejpam-802	157	12	general	general	ADJ
ejpam-802	157	13	setting	setting	NOUN
ejpam-802	157	14	.	.	PUNCT
ejpam-802	158	1	first	first	ADV
ejpam-802	158	2	,	,	PUNCT
ejpam-802	158	3	notice	notice	VERB
ejpam-802	158	4	that	that	SCONJ
ejpam-802	158	5	the	the	DET
ejpam-802	158	6	skewness	skewness	NOUN
ejpam-802	158	7	formulation	formulation	NOUN
ejpam-802	158	8	discussed	discuss	VERB
ejpam-802	158	9	in	in	ADP
ejpam-802	158	10	this	this	DET
ejpam-802	158	11	paper	paper	NOUN
ejpam-802	158	12	is	be	AUX
ejpam-802	158	13	applicable	applicable	ADJ
ejpam-802	158	14	to	to	ADP
ejpam-802	158	15	any	any	DET
ejpam-802	158	16	density	density	NOUN
ejpam-802	158	17	function	function	NOUN
ejpam-802	158	18	truncated	truncate	VERB
ejpam-802	158	19	at	at	ADP
ejpam-802	158	20	its	its	PRON
ejpam-802	158	21	median	median	NOUN
ejpam-802	158	22	.	.	PUNCT
ejpam-802	159	1	lemma	lemma	PROPN
ejpam-802	159	2	1	1	X
ejpam-802	159	3	.	.	PUNCT
ejpam-802	160	1	let	let	VERB
ejpam-802	160	2	d	d	PRON
ejpam-802	160	3	be	be	AUX
ejpam-802	160	4	the	the	DET
ejpam-802	160	5	median	median	NOUN
ejpam-802	160	6	of	of	ADP
ejpam-802	160	7	a	a	DET
ejpam-802	160	8	random	random	ADJ
ejpam-802	160	9	variable	variable	NOUN
ejpam-802	160	10	x	x	PUNCT
ejpam-802	160	11	with	with	ADP
ejpam-802	160	12	a	a	DET
ejpam-802	160	13	density	density	NOUN
ejpam-802	160	14	g(x	g(x	NOUN
ejpam-802	160	15	)	)	PUNCT
ejpam-802	160	16	,	,	PUNCT
ejpam-802	160	17	then	then	ADV
ejpam-802	160	18	the	the	DET
ejpam-802	160	19	skewed	skewed	ADJ
ejpam-802	160	20	function	function	NOUN
ejpam-802	160	21	f	f	PROPN
ejpam-802	160	22	(	(	PUNCT
ejpam-802	160	23	x	x	PROPN
ejpam-802	160	24	;	;	PUNCT
ejpam-802	160	25	λ	λ	X
ejpam-802	160	26	)	)	PUNCT
ejpam-802	160	27	is	be	AUX
ejpam-802	160	28	a	a	DET
ejpam-802	160	29	density	density	NOUN
ejpam-802	160	30	with	with	ADP
ejpam-802	160	31	skew	skew	ADJ
ejpam-802	160	32	factor	factor	NOUN
ejpam-802	160	33	λ	λ	PROPN
ejpam-802	160	34	,	,	PUNCT
ejpam-802	160	35	where	where	SCONJ
ejpam-802	160	36	f	f	PROPN
ejpam-802	160	37	(	(	PUNCT
ejpam-802	160	38	x	x	PROPN
ejpam-802	160	39	;	;	PUNCT
ejpam-802	160	40	λ	λ	X
ejpam-802	160	41	)	)	PUNCT
ejpam-802	160	42	=	=	PUNCT
ejpam-802	160	43	¨	¨	NOUN
ejpam-802	160	44	g	g	NOUN
ejpam-802	160	45	(	(	PUNCT
ejpam-802	160	46	x	x	PROPN
ejpam-802	160	47	1−λ	1−λ	NUM
ejpam-802	160	48	if	if	SCONJ
ejpam-802	160	49	x	x	SYM
ejpam-802	160	50	≤	≤	NUM
ejpam-802	160	51	d	d	NOUN
ejpam-802	160	52	g	g	NOUN
ejpam-802	160	53	(	(	PUNCT
ejpam-802	160	54	x	x	PROPN
ejpam-802	160	55	1+λ	1+λ	PROPN
ejpam-802	160	56	if	if	SCONJ
ejpam-802	160	57	x	x	PROPN
ejpam-802	160	58	>	>	X
ejpam-802	160	59	d	d	X
ejpam-802	160	60	.	.	PUNCT
ejpam-802	161	1	(	(	PUNCT
ejpam-802	161	2	19	19	NUM
ejpam-802	161	3	)	)	PUNCT
ejpam-802	161	4	proof	proof	NOUN
ejpam-802	161	5	.	.	PUNCT
ejpam-802	162	1	since	since	SCONJ
ejpam-802	162	2	g(x	g(x	NOUN
ejpam-802	162	3	)	)	PUNCT
ejpam-802	162	4	is	be	AUX
ejpam-802	162	5	a	a	DET
ejpam-802	162	6	density	density	NOUN
ejpam-802	162	7	function	function	NOUN
ejpam-802	162	8	,	,	PUNCT
ejpam-802	162	9	g(x	g(x	NOUN
ejpam-802	162	10	)	)	PUNCT
ejpam-802	162	11	≥	≥	NOUN
ejpam-802	162	12	0	0	NUM
ejpam-802	162	13	and	and	CCONJ
ejpam-802	162	14	∫	∫	PROPN
ejpam-802	162	15	r	r	NOUN
ejpam-802	162	16	g(x)d	g(x)d	PROPN
ejpam-802	162	17	x	x	SYM
ejpam-802	162	18	=	=	SYM
ejpam-802	162	19	1	1	X
ejpam-802	162	20	.	.	PUNCT
ejpam-802	162	21	notice	notice	VERB
ejpam-802	162	22	that	that	SCONJ
ejpam-802	162	23	d	d	NOUN
ejpam-802	162	24	is	be	AUX
ejpam-802	162	25	the	the	DET
ejpam-802	162	26	median	median	NOUN
ejpam-802	162	27	of	of	ADP
ejpam-802	162	28	g(x	g(x	NOUN
ejpam-802	162	29	)	)	PUNCT
ejpam-802	162	30	,	,	PUNCT
ejpam-802	163	1	namely	namely	ADV
ejpam-802	163	2	∫	∫	PROPN
ejpam-802	163	3	d	d	X
ejpam-802	163	4	−∞	−∞	ADP
ejpam-802	163	5	g(x)d	g(x)d	PROPN
ejpam-802	163	6	x	x	SYM
ejpam-802	163	7	=	=	SYM
ejpam-802	163	8	∫	∫	PROPN
ejpam-802	164	1	∞	∞	PROPN
ejpam-802	164	2	d	d	X
ejpam-802	164	3	g(x)d	g(x)d	X
ejpam-802	164	4	x	x	SYM
ejpam-802	164	5	=	=	SYM
ejpam-802	164	6	1	1	NUM
ejpam-802	164	7	2	2	NUM
ejpam-802	164	8	,	,	PUNCT
ejpam-802	164	9	we	we	PRON
ejpam-802	164	10	have	have	VERB
ejpam-802	164	11	f	f	X
ejpam-802	164	12	(	(	PUNCT
ejpam-802	164	13	x	x	X
ejpam-802	164	14	;	;	PUNCT
ejpam-802	164	15	λ)≥	λ)≥	PROPN
ejpam-802	164	16	0	0	NUM
ejpam-802	164	17	and	and	CCONJ
ejpam-802	164	18	∫	∫	PROPN
ejpam-802	164	19	∞	∞	PROPN
ejpam-802	165	1	−∞	−∞	X
ejpam-802	165	2	f	f	PROPN
ejpam-802	165	3	(	(	PUNCT
ejpam-802	165	4	x	x	X
ejpam-802	165	5	;	;	PUNCT
ejpam-802	165	6	λ)d	λ)d	X
ejpam-802	165	7	x	x	X
ejpam-802	165	8	=	=	SYM
ejpam-802	165	9	∫	∫	PROPN
ejpam-802	166	1	∞	∞	PROPN
ejpam-802	166	2	d	d	X
ejpam-802	166	3	g	g	PROPN
ejpam-802	166	4	(	(	PUNCT
ejpam-802	166	5	x	x	PROPN
ejpam-802	166	6	1+λ	1+λ	NUM
ejpam-802	166	7	)	)	PUNCT
ejpam-802	166	8	d	d	NOUN
ejpam-802	166	9	x	x	PUNCT
ejpam-802	167	1	+	+	NUM
ejpam-802	167	2	∫	∫	PROPN
ejpam-802	167	3	d	d	X
ejpam-802	167	4	−∞	−∞	PUNCT
ejpam-802	167	5	g	g	PROPN
ejpam-802	167	6	(	(	PUNCT
ejpam-802	167	7	x	x	NOUN
ejpam-802	167	8	1−λ	1−λ	NUM
ejpam-802	167	9	)	)	PUNCT
ejpam-802	167	10	d	d	NOUN
ejpam-802	167	11	x	x	SYM
ejpam-802	168	1	=	=	SYM
ejpam-802	168	2	1+λ	1+λ	NUM
ejpam-802	168	3	2	2	NUM
ejpam-802	168	4	+	+	CCONJ
ejpam-802	168	5	1−λ	1−λ	NUM
ejpam-802	168	6	2	2	NUM
ejpam-802	168	7	=	=	SYM
ejpam-802	168	8	1	1	NUM
ejpam-802	168	9	.	.	PUNCT
ejpam-802	168	10	(	(	PUNCT
ejpam-802	168	11	20	20	NUM
ejpam-802	168	12	)	)	PUNCT
ejpam-802	168	13	this	this	PRON
ejpam-802	168	14	completes	complete	VERB
ejpam-802	168	15	the	the	DET
ejpam-802	168	16	proof	proof	NOUN
ejpam-802	168	17	of	of	ADP
ejpam-802	168	18	lemma	lemma	PROPN
ejpam-802	168	19	1	1	NUM
ejpam-802	168	20	.	.	PUNCT
ejpam-802	168	21	with	with	ADP
ejpam-802	168	22	lemma	lemma	PROPN
ejpam-802	168	23	1	1	NUM
ejpam-802	168	24	,	,	PUNCT
ejpam-802	168	25	the	the	DET
ejpam-802	168	26	skewness	skewness	NOUN
ejpam-802	168	27	formulation	formulation	NOUN
ejpam-802	168	28	in	in	ADP
ejpam-802	168	29	the	the	DET
ejpam-802	168	30	skew	skew	ADJ
ejpam-802	168	31	normal	normal	ADJ
ejpam-802	168	32	model	model	NOUN
ejpam-802	168	33	defined	define	VERB
ejpam-802	168	34	in	in	ADP
ejpam-802	168	35	section	section	NOUN
ejpam-802	168	36	2	2	NUM
ejpam-802	168	37	and	and	CCONJ
ejpam-802	168	38	the	the	DET
ejpam-802	168	39	skew	skew	NOUN
ejpam-802	168	40	-	-	PUNCT
ejpam-802	168	41	t	t	NOUN
ejpam-802	168	42	model	model	NOUN
ejpam-802	168	43	defined	define	VERB
ejpam-802	168	44	in	in	ADP
ejpam-802	168	45	[	[	X
ejpam-802	168	46	10	10	NUM
ejpam-802	168	47	]	]	PUNCT
ejpam-802	168	48	is	be	AUX
ejpam-802	168	49	a	a	DET
ejpam-802	168	50	special	special	ADJ
ejpam-802	168	51	case	case	NOUN
ejpam-802	168	52	in	in	ADP
ejpam-802	168	53	which	which	PRON
ejpam-802	168	54	the	the	DET
ejpam-802	168	55	median	median	NOUN
ejpam-802	168	56	of	of	ADP
ejpam-802	168	57	the	the	DET
ejpam-802	168	58	density	density	NOUN
ejpam-802	168	59	function	function	NOUN
ejpam-802	168	60	g(x	g(x	NOUN
ejpam-802	168	61	)	)	PUNCT
ejpam-802	168	62	is	be	AUX
ejpam-802	168	63	zero	zero	NUM
ejpam-802	168	64	.	.	PUNCT
ejpam-802	169	1	proposition	proposition	NOUN
ejpam-802	169	2	1	1	NUM
ejpam-802	169	3	.	.	PUNCT
ejpam-802	170	1	for	for	ADP
ejpam-802	170	2	any	any	DET
ejpam-802	170	3	symmetric	symmetric	ADJ
ejpam-802	170	4	density	density	NOUN
ejpam-802	170	5	g(x	g(x	NOUN
ejpam-802	170	6	)	)	PUNCT
ejpam-802	170	7	of	of	ADP
ejpam-802	170	8	a	a	DET
ejpam-802	170	9	random	random	ADJ
ejpam-802	170	10	variable	variable	NOUN
ejpam-802	170	11	x	x	PUNCT
ejpam-802	170	12	with	with	ADP
ejpam-802	170	13	the	the	DET
ejpam-802	170	14	mean	mean	ADJ
ejpam-802	170	15	value	value	NOUN
ejpam-802	170	16	µ	µ	X
ejpam-802	170	17	=	=	SYM
ejpam-802	170	18	0	0	NUM
ejpam-802	170	19	,	,	PUNCT
ejpam-802	170	20	let	let	VERB
ejpam-802	170	21	f	f	PROPN
ejpam-802	170	22	(	(	PUNCT
ejpam-802	170	23	x	x	PROPN
ejpam-802	170	24	;	;	PUNCT
ejpam-802	170	25	λ	λ	X
ejpam-802	170	26	)	)	PUNCT
ejpam-802	170	27	be	be	VERB
ejpam-802	170	28	the	the	DET
ejpam-802	170	29	skewed	skewed	ADJ
ejpam-802	170	30	density	density	NOUN
ejpam-802	170	31	of	of	ADP
ejpam-802	170	32	g(x	g(x	NOUN
ejpam-802	170	33	)	)	PUNCT
ejpam-802	170	34	truncated	truncate	VERB
ejpam-802	170	35	at	at	ADP
ejpam-802	170	36	the	the	DET
ejpam-802	170	37	median	median	NOUN
ejpam-802	170	38	of	of	ADP
ejpam-802	170	39	x	x	PUNCT
ejpam-802	170	40	with	with	ADP
ejpam-802	170	41	the	the	DET
ejpam-802	170	42	skew	skew	ADJ
ejpam-802	170	43	parameter	parameter	PROPN
ejpam-802	170	44	λ	λ	PROPN
ejpam-802	170	45	.	.	PROPN
ejpam-802	171	1	denote	denote	VERB
ejpam-802	171	2	y	y	PROPN
ejpam-802	171	3	the	the	DET
ejpam-802	171	4	random	random	ADJ
ejpam-802	171	5	variable	variable	NOUN
ejpam-802	171	6	corresponding	correspond	VERB
ejpam-802	171	7	to	to	ADP
ejpam-802	171	8	the	the	DET
ejpam-802	171	9	density	density	NOUN
ejpam-802	171	10	f	f	PROPN
ejpam-802	171	11	(	(	PUNCT
ejpam-802	171	12	x	x	PROPN
ejpam-802	171	13	;	;	PUNCT
ejpam-802	171	14	λ	λ	X
ejpam-802	171	15	)	)	PUNCT
ejpam-802	171	16	,	,	PUNCT
ejpam-802	171	17	we	we	PRON
ejpam-802	171	18	have	have	VERB
ejpam-802	171	19	e(y	e(y	ADJ
ejpam-802	171	20	)	)	PUNCT
ejpam-802	172	1	=	=	SYM
ejpam-802	172	2	4λη	4λη	NOUN
ejpam-802	172	3	,	,	PUNCT
ejpam-802	172	4	(	(	PUNCT
ejpam-802	172	5	21	21	NUM
ejpam-802	172	6	)	)	PUNCT
ejpam-802	173	1	where	where	SCONJ
ejpam-802	173	2	η=	η=	ADJ
ejpam-802	173	3	∫	∫	PROPN
ejpam-802	173	4	∞	∞	PROPN
ejpam-802	173	5	0	0	NUM
ejpam-802	174	1	y	y	PROPN
ejpam-802	174	2	g(y)d	g(y)d	PROPN
ejpam-802	174	3	y.	y.	PROPN
ejpam-802	174	4	(	(	PUNCT
ejpam-802	174	5	22	22	NUM
ejpam-802	174	6	)	)	PUNCT
ejpam-802	174	7	j.	j.	PROPN
ejpam-802	174	8	chen	chen	PROPN
ejpam-802	174	9	/	/	SYM
ejpam-802	174	10	eur	eur	PROPN
ejpam-802	174	11	.	.	PUNCT
ejpam-802	175	1	j.	j.	PROPN
ejpam-802	175	2	pure	pure	PROPN
ejpam-802	175	3	appl	appl	PROPN
ejpam-802	175	4	.	.	PROPN
ejpam-802	175	5	math	math	PROPN
ejpam-802	175	6	,	,	PUNCT
ejpam-802	175	7	3	3	NUM
ejpam-802	175	8	(	(	PUNCT
ejpam-802	175	9	2010	2010	NUM
ejpam-802	175	10	)	)	PUNCT
ejpam-802	175	11	,	,	PUNCT
ejpam-802	175	12	531	531	NUM
ejpam-802	175	13	-	-	SYM
ejpam-802	175	14	540	540	NUM
ejpam-802	175	15	538	538	NUM
ejpam-802	175	16	proof	proof	NOUN
ejpam-802	175	17	.	.	PUNCT
ejpam-802	176	1	by	by	ADP
ejpam-802	176	2	lemma	lemma	PROPN
ejpam-802	176	3	1	1	NUM
ejpam-802	176	4	,	,	PUNCT
ejpam-802	176	5	f	f	PROPN
ejpam-802	176	6	(	(	PUNCT
ejpam-802	176	7	x	x	X
ejpam-802	176	8	;	;	PUNCT
ejpam-802	176	9	λ	λ	X
ejpam-802	176	10	)	)	PUNCT
ejpam-802	176	11	is	be	AUX
ejpam-802	176	12	a	a	DET
ejpam-802	176	13	density	density	NOUN
ejpam-802	176	14	.	.	PUNCT
ejpam-802	177	1	since	since	SCONJ
ejpam-802	177	2	the	the	DET
ejpam-802	177	3	density	density	NOUN
ejpam-802	177	4	g(x	g(x	NOUN
ejpam-802	177	5	)	)	PUNCT
ejpam-802	177	6	is	be	AUX
ejpam-802	177	7	symmetric	symmetric	ADJ
ejpam-802	177	8	with	with	ADP
ejpam-802	177	9	mean	mean	PROPN
ejpam-802	177	10	zero	zero	NUM
ejpam-802	177	11	,	,	PUNCT
ejpam-802	177	12	the	the	DET
ejpam-802	177	13	median	median	NOUN
ejpam-802	177	14	of	of	ADP
ejpam-802	177	15	x	x	SYM
ejpam-802	177	16	is	be	AUX
ejpam-802	177	17	zero	zero	NUM
ejpam-802	177	18	.	.	PUNCT
ejpam-802	178	1	now	now	ADV
ejpam-802	178	2	the	the	DET
ejpam-802	178	3	mean	mean	NOUN
ejpam-802	178	4	of	of	ADP
ejpam-802	178	5	the	the	DET
ejpam-802	178	6	new	new	ADJ
ejpam-802	178	7	skew	skew	ADJ
ejpam-802	178	8	random	random	ADJ
ejpam-802	178	9	variable	variable	NOUN
ejpam-802	178	10	can	can	AUX
ejpam-802	178	11	be	be	AUX
ejpam-802	178	12	evaluated	evaluate	VERB
ejpam-802	178	13	as	as	SCONJ
ejpam-802	178	14	follows	follow	VERB
ejpam-802	178	15	.	.	PUNCT
ejpam-802	179	1	e(y	e(y	ADJ
ejpam-802	179	2	)	)	PUNCT
ejpam-802	180	1	=	=	SYM
ejpam-802	180	2	∫	∫	PROPN
ejpam-802	181	1	∞	∞	PROPN
ejpam-802	182	1	−∞	−∞	ADP
ejpam-802	182	2	y	y	PROPN
ejpam-802	182	3	f	f	PROPN
ejpam-802	182	4	(	(	PUNCT
ejpam-802	182	5	y)d	y)d	NOUN
ejpam-802	182	6	y	y	PROPN
ejpam-802	182	7	=	=	SYM
ejpam-802	182	8	∫	∫	PROPN
ejpam-802	182	9	0	0	PUNCT
ejpam-802	183	1	−∞	−∞	ADP
ejpam-802	183	2	y	y	PROPN
ejpam-802	183	3	g	g	PROPN
ejpam-802	183	4	(	(	PUNCT
ejpam-802	183	5	y	y	PROPN
ejpam-802	183	6	1−λ	1−λ	NUM
ejpam-802	183	7	)	)	PUNCT
ejpam-802	184	1	d	d	X
ejpam-802	184	2	y	y	PROPN
ejpam-802	184	3	+	+	CCONJ
ejpam-802	184	4	∫	∫	PROPN
ejpam-802	184	5	∞	∞	PROPN
ejpam-802	184	6	0	0	NUM
ejpam-802	185	1	y	y	PROPN
ejpam-802	185	2	g	g	PROPN
ejpam-802	185	3	(	(	PUNCT
ejpam-802	185	4	y	y	PROPN
ejpam-802	185	5	1+λ	1+λ	NUM
ejpam-802	185	6	)	)	PUNCT
ejpam-802	186	1	d	d	NOUN
ejpam-802	186	2	y	y	NOUN
ejpam-802	186	3	=	=	SYM
ejpam-802	186	4	∫	∫	PROPN
ejpam-802	186	5	0	0	NUM
ejpam-802	187	1	−∞	−∞	X
ejpam-802	187	2	(	(	PUNCT
ejpam-802	187	3	1−λ)2	1−λ)2	NUM
ejpam-802	187	4	x	x	SYM
ejpam-802	187	5	g(x)d	g(x)d	X
ejpam-802	187	6	x	x	SYM
ejpam-802	187	7	+	+	NUM
ejpam-802	187	8	∫	∫	PROPN
ejpam-802	187	9	∞	∞	NUM
ejpam-802	187	10	0	0	NUM
ejpam-802	188	1	(	(	PUNCT
ejpam-802	188	2	1+λ)2	1+λ)2	NUM
ejpam-802	188	3	x	x	SYM
ejpam-802	188	4	g(x)d	g(x)d	NOUN
ejpam-802	188	5	x	x	SYM
ejpam-802	188	6	=	=	SYM
ejpam-802	188	7	(	(	PUNCT
ejpam-802	188	8	1+λ2	1+λ2	NUM
ejpam-802	188	9	)	)	PUNCT
ejpam-802	188	10	∫	∫	PROPN
ejpam-802	188	11	∞	∞	PROPN
ejpam-802	189	1	−∞	−∞	X
ejpam-802	189	2	x	x	X
ejpam-802	189	3	g(x)d	g(x)d	X
ejpam-802	189	4	x+	x+	SYM
ejpam-802	189	5	∫	∫	PROPN
ejpam-802	189	6	∞	∞	PROPN
ejpam-802	189	7	0	0	NUM
ejpam-802	190	1	2λx	2λx	NOUN
ejpam-802	190	2	g(x)d	g(x)d	PROPN
ejpam-802	190	3	x−	x−	PROPN
ejpam-802	190	4	∫	∫	PROPN
ejpam-802	190	5	0	0	NUM
ejpam-802	191	1	−∞	−∞	ADP
ejpam-802	191	2	2λx	2λx	NOUN
ejpam-802	191	3	g(x)d	g(x)d	NOUN
ejpam-802	191	4	x	x	SYM
ejpam-802	191	5	by	by	ADP
ejpam-802	191	6	the	the	DET
ejpam-802	191	7	symmetry	symmetry	NOUN
ejpam-802	191	8	of	of	ADP
ejpam-802	191	9	g(x	g(x	NOUN
ejpam-802	191	10	)	)	PUNCT
ejpam-802	192	1	=	=	PUNCT
ejpam-802	192	2	(	(	PUNCT
ejpam-802	192	3	1−λ)2µ+	1−λ)2µ+	NUM
ejpam-802	192	4	4λ	4λ	NUM
ejpam-802	192	5	∫	∫	PROPN
ejpam-802	193	1	∞	∞	PROPN
ejpam-802	193	2	d	d	X
ejpam-802	193	3	x	x	X
ejpam-802	193	4	g(x)d	g(x)d	NOUN
ejpam-802	193	5	x	x	X
ejpam-802	193	6	.	.	PUNCT
ejpam-802	194	1	=	=	NOUN
ejpam-802	194	2	4λη	4λη	NOUN
ejpam-802	194	3	.	.	PUNCT
ejpam-802	195	1	this	this	PRON
ejpam-802	195	2	completes	complete	VERB
ejpam-802	195	3	the	the	DET
ejpam-802	195	4	proof	proof	NOUN
ejpam-802	195	5	of	of	ADP
ejpam-802	195	6	this	this	DET
ejpam-802	195	7	proposition	proposition	NOUN
ejpam-802	195	8	.	.	PUNCT
ejpam-802	196	1	obviously	obviously	ADV
ejpam-802	196	2	,	,	PUNCT
ejpam-802	196	3	equation	equation	NOUN
ejpam-802	196	4	(	(	PUNCT
ejpam-802	196	5	6	6	NUM
ejpam-802	196	6	)	)	PUNCT
ejpam-802	196	7	is	be	AUX
ejpam-802	196	8	a	a	DET
ejpam-802	196	9	special	special	ADJ
ejpam-802	196	10	case	case	NOUN
ejpam-802	196	11	of	of	ADP
ejpam-802	196	12	proposition	proposition	NOUN
ejpam-802	196	13	1	1	NUM
ejpam-802	196	14	when	when	SCONJ
ejpam-802	196	15	g(x	g(x	NOUN
ejpam-802	196	16	)	)	PUNCT
ejpam-802	196	17	is	be	AUX
ejpam-802	196	18	the	the	DET
ejpam-802	196	19	density	density	NOUN
ejpam-802	196	20	of	of	ADP
ejpam-802	196	21	the	the	DET
ejpam-802	196	22	standard	standard	ADJ
ejpam-802	196	23	normal	normal	ADJ
ejpam-802	196	24	density	density	NOUN
ejpam-802	196	25	.	.	PUNCT
ejpam-802	197	1	we	we	PRON
ejpam-802	197	2	have	have	AUX
ejpam-802	197	3	considered	consider	VERB
ejpam-802	197	4	skewness	skewness	NOUN
ejpam-802	197	5	and	and	CCONJ
ejpam-802	197	6	mean	mean	VERB
ejpam-802	197	7	in	in	ADP
ejpam-802	197	8	the	the	DET
ejpam-802	197	9	above	above	ADJ
ejpam-802	197	10	discussion	discussion	NOUN
ejpam-802	197	11	for	for	ADP
ejpam-802	197	12	any	any	DET
ejpam-802	197	13	symmetric	symmetric	ADJ
ejpam-802	197	14	density	density	NOUN
ejpam-802	197	15	f	f	PROPN
ejpam-802	197	16	(	(	PUNCT
ejpam-802	197	17	x	x	NOUN
ejpam-802	197	18	)	)	PUNCT
ejpam-802	197	19	.	.	PUNCT
ejpam-802	198	1	in	in	ADP
ejpam-802	198	2	terms	term	NOUN
ejpam-802	198	3	of	of	ADP
ejpam-802	198	4	the	the	DET
ejpam-802	198	5	three	three	NUM
ejpam-802	198	6	standardizing	standardize	VERB
ejpam-802	198	7	conditions	condition	NOUN
ejpam-802	198	8	to	to	PART
ejpam-802	198	9	keep	keep	VERB
ejpam-802	198	10	the	the	DET
ejpam-802	198	11	arch	arch	ADJ
ejpam-802	198	12	tradition	tradition	NOUN
ejpam-802	198	13	for	for	ADP
ejpam-802	198	14	economics	economics	NOUN
ejpam-802	198	15	data	datum	NOUN
ejpam-802	198	16	,	,	PUNCT
ejpam-802	198	17	we	we	PRON
ejpam-802	198	18	need	need	VERB
ejpam-802	198	19	to	to	PART
ejpam-802	198	20	consider	consider	VERB
ejpam-802	198	21	the	the	DET
ejpam-802	198	22	second	second	ADJ
ejpam-802	198	23	moment	moment	NOUN
ejpam-802	198	24	of	of	ADP
ejpam-802	198	25	the	the	DET
ejpam-802	198	26	new	new	ADJ
ejpam-802	198	27	random	random	ADJ
ejpam-802	198	28	variable	variable	NOUN
ejpam-802	198	29	corresponding	correspond	VERB
ejpam-802	198	30	to	to	ADP
ejpam-802	198	31	the	the	DET
ejpam-802	198	32	skew	skew	ADJ
ejpam-802	198	33	density	density	NOUN
ejpam-802	198	34	f	f	PROPN
ejpam-802	198	35	(	(	PUNCT
ejpam-802	198	36	x	x	PROPN
ejpam-802	198	37	;	;	PUNCT
ejpam-802	198	38	λ	λ	X
ejpam-802	198	39	)	)	PUNCT
ejpam-802	198	40	.	.	PUNCT
ejpam-802	199	1	proposition	proposition	NOUN
ejpam-802	199	2	2	2	NUM
ejpam-802	199	3	.	.	X
ejpam-802	200	1	for	for	ADP
ejpam-802	200	2	any	any	DET
ejpam-802	200	3	symmetric	symmetric	ADJ
ejpam-802	200	4	density	density	NOUN
ejpam-802	200	5	g(x	g(x	NOUN
ejpam-802	200	6	)	)	PUNCT
ejpam-802	200	7	of	of	ADP
ejpam-802	200	8	a	a	DET
ejpam-802	200	9	random	random	ADJ
ejpam-802	200	10	variable	variable	NOUN
ejpam-802	200	11	x	x	PUNCT
ejpam-802	200	12	with	with	ADP
ejpam-802	200	13	the	the	DET
ejpam-802	200	14	mean	mean	ADJ
ejpam-802	200	15	value	value	NOUN
ejpam-802	200	16	µ	µ	X
ejpam-802	200	17	=	=	SYM
ejpam-802	200	18	0	0	NUM
ejpam-802	200	19	,	,	PUNCT
ejpam-802	200	20	let	let	VERB
ejpam-802	200	21	f	f	PROPN
ejpam-802	200	22	(	(	PUNCT
ejpam-802	200	23	x	x	PROPN
ejpam-802	200	24	;	;	PUNCT
ejpam-802	200	25	λ	λ	X
ejpam-802	200	26	)	)	PUNCT
ejpam-802	200	27	be	be	VERB
ejpam-802	200	28	the	the	DET
ejpam-802	200	29	skewed	skewed	ADJ
ejpam-802	200	30	density	density	NOUN
ejpam-802	200	31	of	of	ADP
ejpam-802	200	32	g(x	g(x	NOUN
ejpam-802	200	33	)	)	PUNCT
ejpam-802	200	34	truncated	truncate	VERB
ejpam-802	200	35	at	at	ADP
ejpam-802	200	36	the	the	DET
ejpam-802	200	37	median	median	NOUN
ejpam-802	200	38	of	of	ADP
ejpam-802	200	39	x	x	PUNCT
ejpam-802	200	40	with	with	ADP
ejpam-802	200	41	the	the	DET
ejpam-802	200	42	skew	skew	ADJ
ejpam-802	200	43	parameter	parameter	PROPN
ejpam-802	200	44	λ	λ	PROPN
ejpam-802	200	45	.	.	PROPN
ejpam-802	201	1	denote	denote	VERB
ejpam-802	201	2	y	y	PROPN
ejpam-802	201	3	the	the	DET
ejpam-802	201	4	random	random	ADJ
ejpam-802	201	5	variable	variable	NOUN
ejpam-802	201	6	corresponding	correspond	VERB
ejpam-802	201	7	to	to	ADP
ejpam-802	201	8	the	the	DET
ejpam-802	201	9	density	density	NOUN
ejpam-802	201	10	f	f	PROPN
ejpam-802	201	11	(	(	PUNCT
ejpam-802	201	12	x	x	PROPN
ejpam-802	201	13	;	;	PUNCT
ejpam-802	201	14	λ	λ	X
ejpam-802	201	15	)	)	PUNCT
ejpam-802	201	16	,	,	PUNCT
ejpam-802	201	17	we	we	PRON
ejpam-802	201	18	have	have	VERB
ejpam-802	201	19	e(y	e(y	ADJ
ejpam-802	201	20	2	2	NUM
ejpam-802	201	21	)	)	PUNCT
ejpam-802	201	22	=	=	PUNCT
ejpam-802	202	1	2(1	2(1	NUM
ejpam-802	202	2	+	+	NOUN
ejpam-802	202	3	3λ2)ψ	3λ2)ψ	NUM
ejpam-802	202	4	,	,	PUNCT
ejpam-802	202	5	(	(	PUNCT
ejpam-802	202	6	23	23	NUM
ejpam-802	202	7	)	)	PUNCT
ejpam-802	203	1	where	where	SCONJ
ejpam-802	203	2	ψ=	ψ=	PUNCT
ejpam-802	203	3	∫	∫	PROPN
ejpam-802	203	4	∞	∞	PROPN
ejpam-802	203	5	0	0	NUM
ejpam-802	204	1	y2	y2	INTJ
ejpam-802	204	2	g(y)d	g(y)d	PROPN
ejpam-802	204	3	y.	y.	PROPN
ejpam-802	204	4	(	(	PUNCT
ejpam-802	204	5	24	24	NUM
ejpam-802	204	6	)	)	PUNCT
ejpam-802	204	7	proof	proof	NOUN
ejpam-802	204	8	.	.	PUNCT
ejpam-802	205	1	similar	similar	ADJ
ejpam-802	205	2	to	to	ADP
ejpam-802	205	3	the	the	DET
ejpam-802	205	4	proof	proof	NOUN
ejpam-802	205	5	of	of	ADP
ejpam-802	205	6	the	the	DET
ejpam-802	205	7	proposition	proposition	NOUN
ejpam-802	205	8	1	1	NUM
ejpam-802	205	9	,	,	PUNCT
ejpam-802	205	10	we	we	PRON
ejpam-802	205	11	have	have	VERB
ejpam-802	205	12	e(y	e(y	ADJ
ejpam-802	205	13	2	2	NUM
ejpam-802	205	14	)	)	PUNCT
ejpam-802	205	15	=	=	SYM
ejpam-802	206	1	∫	∫	PROPN
ejpam-802	206	2	∞	∞	PROPN
ejpam-802	207	1	−∞	−∞	X
ejpam-802	207	2	x2	x2	PROPN
ejpam-802	207	3	f	f	PROPN
ejpam-802	207	4	(	(	PUNCT
ejpam-802	207	5	x	x	X
ejpam-802	207	6	;	;	PUNCT
ejpam-802	207	7	λ)d	λ)d	X
ejpam-802	207	8	x	x	X
ejpam-802	207	9	=	=	SYM
ejpam-802	207	10	∫	∫	PROPN
ejpam-802	207	11	0	0	NUM
ejpam-802	208	1	−∞	−∞	ADP
ejpam-802	208	2	x2	x2	PROPN
ejpam-802	208	3	g	g	PROPN
ejpam-802	208	4	(	(	PUNCT
ejpam-802	208	5	x	x	NOUN
ejpam-802	208	6	1−λ	1−λ	NUM
ejpam-802	208	7	)	)	PUNCT
ejpam-802	208	8	d	d	NOUN
ejpam-802	208	9	x	x	PUNCT
ejpam-802	209	1	+	+	NUM
ejpam-802	209	2	∫	∫	PROPN
ejpam-802	209	3	∞	∞	NUM
ejpam-802	209	4	0	0	NUM
ejpam-802	210	1	x2	x2	PRON
ejpam-802	210	2	g	g	PROPN
ejpam-802	210	3	(	(	PUNCT
ejpam-802	210	4	x	x	PROPN
ejpam-802	210	5	1+λ	1+λ	NUM
ejpam-802	210	6	)	)	PUNCT
ejpam-802	210	7	d	d	NOUN
ejpam-802	210	8	x	x	SYM
ejpam-802	210	9	references	reference	VERB
ejpam-802	210	10	539	539	NUM
ejpam-802	210	11	=	=	SYM
ejpam-802	210	12	∫	∫	PROPN
ejpam-802	210	13	0	0	NUM
ejpam-802	211	1	−∞	−∞	X
ejpam-802	211	2	(	(	PUNCT
ejpam-802	211	3	1−λ)3	1−λ)3	NUM
ejpam-802	211	4	y2	y2	NOUN
ejpam-802	211	5	g(y)d	g(y)d	PROPN
ejpam-802	211	6	y	y	PROPN
ejpam-802	211	7	+	+	CCONJ
ejpam-802	211	8	∫	∫	PROPN
ejpam-802	211	9	∞	∞	NUM
ejpam-802	211	10	0	0	NUM
ejpam-802	212	1	(	(	PUNCT
ejpam-802	212	2	1+λ)3	1+λ)3	NUM
ejpam-802	212	3	y2	y2	NOUN
ejpam-802	212	4	g(y)d	g(y)d	PROPN
ejpam-802	212	5	y	y	PROPN
ejpam-802	212	6	=	=	PRON
ejpam-802	212	7	(	(	PUNCT
ejpam-802	212	8	1−	1−	NUM
ejpam-802	212	9	3λ+	3λ+	NUM
ejpam-802	212	10	3λ2−λ3	3λ2−λ3	NUM
ejpam-802	212	11	)	)	PUNCT
ejpam-802	212	12	∫	∫	PROPN
ejpam-802	212	13	∞	∞	PROPN
ejpam-802	213	1	−∞	−∞	PUNCT
ejpam-802	213	2	y2	y2	PROPN
ejpam-802	213	3	g(y)d	g(y)d	PROPN
ejpam-802	213	4	y	y	PROPN
ejpam-802	213	5	+	+	CCONJ
ejpam-802	213	6	(	(	PUNCT
ejpam-802	213	7	1	1	NUM
ejpam-802	213	8	+	+	NUM
ejpam-802	213	9	3λ+	3λ+	NUM
ejpam-802	213	10	3λ2+λ3	3λ2+λ3	NUM
ejpam-802	213	11	)	)	PUNCT
ejpam-802	213	12	∫	∫	PROPN
ejpam-802	214	1	∞	∞	NOUN
ejpam-802	214	2	0	0	NUM
ejpam-802	215	1	y2	y2	INTJ
ejpam-802	215	2	g(y)d	g(y)d	NOUN
ejpam-802	215	3	y	y	NOUN
ejpam-802	215	4	=	=	PUNCT
ejpam-802	216	1	2(1	2(1	NUM
ejpam-802	216	2	+	+	NUM
ejpam-802	216	3	3λ2	3λ2	NUM
ejpam-802	216	4	)	)	PUNCT
ejpam-802	216	5	∫	∫	PROPN
ejpam-802	217	1	∞	∞	NOUN
ejpam-802	217	2	0	0	NUM
ejpam-802	218	1	y2	y2	INTJ
ejpam-802	218	2	g(y)d	g(y)d	NOUN
ejpam-802	218	3	y	y	NOUN
ejpam-802	218	4	=	=	PUNCT
ejpam-802	219	1	2(1	2(1	NUM
ejpam-802	219	2	+	+	NOUN
ejpam-802	219	3	3λ2)ψ	3λ2)ψ	NUM
ejpam-802	219	4	.	.	PUNCT
ejpam-802	220	1	this	this	PRON
ejpam-802	220	2	completes	complete	VERB
ejpam-802	220	3	the	the	DET
ejpam-802	220	4	proof	proof	NOUN
ejpam-802	220	5	of	of	ADP
ejpam-802	220	6	proposition	proposition	NOUN
ejpam-802	220	7	2	2	NUM
ejpam-802	220	8	.	.	X
ejpam-802	220	9	notice	notice	VERB
ejpam-802	220	10	that	that	SCONJ
ejpam-802	220	11	equation	equation	NOUN
ejpam-802	220	12	(	(	PUNCT
ejpam-802	220	13	7	7	X
ejpam-802	220	14	)	)	PUNCT
ejpam-802	220	15	is	be	AUX
ejpam-802	220	16	a	a	DET
ejpam-802	220	17	special	special	ADJ
ejpam-802	220	18	case	case	NOUN
ejpam-802	220	19	of	of	ADP
ejpam-802	220	20	proposition	proposition	NOUN
ejpam-802	220	21	2	2	NUM
ejpam-802	220	22	.	.	X
ejpam-802	220	23	summarizing	summarize	VERB
ejpam-802	220	24	above	above	ADP
ejpam-802	220	25	discussions	discussion	NOUN
ejpam-802	220	26	,	,	PUNCT
ejpam-802	220	27	by	by	ADP
ejpam-802	220	28	(	(	PUNCT
ejpam-802	220	29	21	21	NUM
ejpam-802	220	30	)	)	PUNCT
ejpam-802	220	31	and	and	CCONJ
ejpam-802	220	32	(	(	PUNCT
ejpam-802	220	33	23	23	NUM
ejpam-802	220	34	)	)	PUNCT
ejpam-802	220	35	,	,	PUNCT
ejpam-802	220	36	we	we	PRON
ejpam-802	220	37	have	have	VERB
ejpam-802	220	38	the	the	DET
ejpam-802	220	39	following	following	ADJ
ejpam-802	220	40	result	result	NOUN
ejpam-802	220	41	for	for	ADP
ejpam-802	220	42	the	the	DET
ejpam-802	220	43	skewness	skewness	NOUN
ejpam-802	220	44	formulation	formulation	NOUN
ejpam-802	220	45	of	of	ADP
ejpam-802	220	46	any	any	DET
ejpam-802	220	47	symmetric	symmetric	ADJ
ejpam-802	220	48	density	density	NOUN
ejpam-802	220	49	.	.	PUNCT
ejpam-802	221	1	proposition	proposition	NOUN
ejpam-802	221	2	3	3	NUM
ejpam-802	221	3	.	.	X
ejpam-802	222	1	for	for	ADP
ejpam-802	222	2	any	any	DET
ejpam-802	222	3	symmetric	symmetric	ADJ
ejpam-802	222	4	density	density	NOUN
ejpam-802	222	5	g(x	g(x	NOUN
ejpam-802	222	6	)	)	PUNCT
ejpam-802	222	7	of	of	ADP
ejpam-802	222	8	a	a	DET
ejpam-802	222	9	random	random	ADJ
ejpam-802	222	10	variable	variable	NOUN
ejpam-802	222	11	x	x	PUNCT
ejpam-802	222	12	with	with	ADP
ejpam-802	222	13	the	the	DET
ejpam-802	222	14	mean	mean	ADJ
ejpam-802	222	15	value	value	NOUN
ejpam-802	222	16	µ	µ	X
ejpam-802	222	17	=	=	SYM
ejpam-802	222	18	0	0	NUM
ejpam-802	222	19	,	,	PUNCT
ejpam-802	222	20	let	let	VERB
ejpam-802	222	21	f	f	PROPN
ejpam-802	222	22	(	(	PUNCT
ejpam-802	222	23	x	x	PROPN
ejpam-802	222	24	;	;	PUNCT
ejpam-802	222	25	λ	λ	X
ejpam-802	222	26	)	)	PUNCT
ejpam-802	222	27	be	be	VERB
ejpam-802	222	28	the	the	DET
ejpam-802	222	29	skewed	skewed	ADJ
ejpam-802	222	30	density	density	NOUN
ejpam-802	222	31	of	of	ADP
ejpam-802	222	32	g(x	g(x	NOUN
ejpam-802	222	33	)	)	PUNCT
ejpam-802	222	34	truncated	truncate	VERB
ejpam-802	222	35	at	at	ADP
ejpam-802	222	36	the	the	DET
ejpam-802	222	37	median	median	NOUN
ejpam-802	222	38	of	of	ADP
ejpam-802	222	39	x	x	PUNCT
ejpam-802	222	40	with	with	ADP
ejpam-802	222	41	the	the	DET
ejpam-802	222	42	skew	skew	ADJ
ejpam-802	222	43	parameter	parameter	PROPN
ejpam-802	222	44	λ	λ	PROPN
ejpam-802	222	45	.	.	PROPN
ejpam-802	223	1	denote	denote	VERB
ejpam-802	223	2	y	y	PROPN
ejpam-802	223	3	the	the	DET
ejpam-802	223	4	random	random	ADJ
ejpam-802	223	5	variable	variable	NOUN
ejpam-802	223	6	corresponding	correspond	VERB
ejpam-802	223	7	to	to	ADP
ejpam-802	223	8	the	the	DET
ejpam-802	223	9	density	density	NOUN
ejpam-802	223	10	f	f	PROPN
ejpam-802	223	11	(	(	PUNCT
ejpam-802	223	12	x	x	PROPN
ejpam-802	223	13	;	;	PUNCT
ejpam-802	223	14	λ	λ	X
ejpam-802	223	15	)	)	PUNCT
ejpam-802	223	16	.	.	PUNCT
ejpam-802	224	1	let	let	VERB
ejpam-802	224	2	y	y	PRON
ejpam-802	224	3	∗	∗	VERB
ejpam-802	224	4	=	=	PUNCT
ejpam-802	225	1	y	y	PROPN
ejpam-802	225	2	−	−	NOUN
ejpam-802	225	3	4λη	4λη	ADJ
ejpam-802	225	4	p	p	PROPN
ejpam-802	225	5	2(1+λ2)ψ−	2(1+λ2)ψ−	NUM
ejpam-802	225	6	16λ2η2	16λ2η2	NOUN
ejpam-802	225	7	,	,	PUNCT
ejpam-802	225	8	then	then	ADV
ejpam-802	225	9	y	y	PROPN
ejpam-802	225	10	∗	∗	NOUN
ejpam-802	225	11	satisfies	satisfy	VERB
ejpam-802	225	12	the	the	DET
ejpam-802	225	13	three	three	NUM
ejpam-802	225	14	criteria	criterion	NOUN
ejpam-802	225	15	for	for	ADP
ejpam-802	225	16	the	the	DET
ejpam-802	225	17	arch	arch	ADJ
ejpam-802	225	18	modeling	modeling	NOUN
ejpam-802	225	19	(	(	PUNCT
ejpam-802	225	20	skew	skew	ADJ
ejpam-802	225	21	,	,	PUNCT
ejpam-802	225	22	zero	zero	NUM
ejpam-802	225	23	mean	mean	NOUN
ejpam-802	225	24	and	and	CCONJ
ejpam-802	225	25	unit	unit	NOUN
ejpam-802	225	26	variance	variance	NOUN
ejpam-802	225	27	)	)	PUNCT
ejpam-802	225	28	,	,	PUNCT
ejpam-802	225	29	where	where	SCONJ
ejpam-802	225	30	ψ	ψ	NOUN
ejpam-802	225	31	and	and	CCONJ
ejpam-802	225	32	η	η	PROPN
ejpam-802	225	33	are	be	AUX
ejpam-802	225	34	given	give	VERB
ejpam-802	225	35	in	in	ADP
ejpam-802	225	36	(	(	PUNCT
ejpam-802	225	37	22	22	NUM
ejpam-802	225	38	)	)	PUNCT
ejpam-802	225	39	and	and	CCONJ
ejpam-802	225	40	(	(	PUNCT
ejpam-802	225	41	24	24	NUM
ejpam-802	225	42	)	)	PUNCT
ejpam-802	225	43	.	.	PUNCT
ejpam-802	226	1	5	5	X
ejpam-802	226	2	.	.	X
ejpam-802	226	3	discussion	discussion	NOUN
ejpam-802	226	4	this	this	DET
ejpam-802	226	5	paper	paper	NOUN
ejpam-802	226	6	discusses	discuss	VERB
ejpam-802	226	7	a	a	DET
ejpam-802	226	8	general	general	ADJ
ejpam-802	226	9	method	method	NOUN
ejpam-802	226	10	of	of	ADP
ejpam-802	226	11	formulation	formulation	NOUN
ejpam-802	226	12	for	for	ADP
ejpam-802	226	13	statistical	statistical	ADJ
ejpam-802	226	14	analysis	analysis	NOUN
ejpam-802	226	15	of	of	ADP
ejpam-802	226	16	data	datum	NOUN
ejpam-802	226	17	with	with	ADP
ejpam-802	226	18	excess	excess	ADJ
ejpam-802	226	19	kurtosis	kurtosis	NOUN
ejpam-802	226	20	and	and	CCONJ
ejpam-802	226	21	asymmetry	asymmetry	NOUN
ejpam-802	226	22	.	.	PUNCT
ejpam-802	227	1	the	the	DET
ejpam-802	227	2	new	new	ADJ
ejpam-802	227	3	way	way	NOUN
ejpam-802	227	4	of	of	ADP
ejpam-802	227	5	modeling	model	VERB
ejpam-802	227	6	skewness	skewness	NOUN
ejpam-802	227	7	is	be	AUX
ejpam-802	227	8	application	application	NOUN
ejpam-802	227	9	oriented	orient	VERB
ejpam-802	227	10	.	.	PUNCT
ejpam-802	228	1	it	it	PRON
ejpam-802	228	2	stems	stem	VERB
ejpam-802	228	3	from	from	ADP
ejpam-802	228	4	the	the	DET
ejpam-802	228	5	application	application	NOUN
ejpam-802	228	6	in	in	ADP
ejpam-802	228	7	analyzing	analyze	VERB
ejpam-802	228	8	bivariate	bivariate	ADJ
ejpam-802	228	9	time	time	NOUN
ejpam-802	228	10	series	series	NOUN
ejpam-802	228	11	for	for	ADP
ejpam-802	228	12	economics	economic	NOUN
ejpam-802	228	13	data	datum	NOUN
ejpam-802	228	14	.	.	PUNCT
ejpam-802	229	1	compared	compare	VERB
ejpam-802	229	2	with	with	ADP
ejpam-802	229	3	existing	exist	VERB
ejpam-802	229	4	skew	skew	ADJ
ejpam-802	229	5	models	model	NOUN
ejpam-802	229	6	such	such	ADJ
ejpam-802	229	7	as	as	ADP
ejpam-802	229	8	the	the	DET
ejpam-802	229	9	generalized	generalized	ADJ
ejpam-802	229	10	gaussian	gaussian	ADJ
ejpam-802	229	11	model	model	NOUN
ejpam-802	229	12	[	[	X
ejpam-802	229	13	11	11	NUM
ejpam-802	229	14	]	]	PUNCT
ejpam-802	229	15	or	or	CCONJ
ejpam-802	229	16	the	the	DET
ejpam-802	229	17	model	model	NOUN
ejpam-802	229	18	of	of	ADP
ejpam-802	229	19	skew	skew	ADJ
ejpam-802	229	20	normal	normal	ADJ
ejpam-802	229	21	sample	sample	NOUN
ejpam-802	229	22	mean	mean	VERB
ejpam-802	230	1	[	[	X
ejpam-802	230	2	2	2	NUM
ejpam-802	230	3	]	]	PUNCT
ejpam-802	230	4	,	,	PUNCT
ejpam-802	230	5	the	the	DET
ejpam-802	230	6	new	new	ADJ
ejpam-802	230	7	skew	skew	ADJ
ejpam-802	230	8	normal	normal	ADJ
ejpam-802	230	9	family	family	NOUN
ejpam-802	230	10	enjoys	enjoy	VERB
ejpam-802	230	11	more	more	ADJ
ejpam-802	230	12	freedoms	freedom	NOUN
ejpam-802	230	13	due	due	ADP
ejpam-802	230	14	to	to	ADP
ejpam-802	230	15	the	the	DET
ejpam-802	230	16	explicit	explicit	ADJ
ejpam-802	230	17	form	form	NOUN
ejpam-802	230	18	taking	take	VERB
ejpam-802	230	19	two	two	NUM
ejpam-802	230	20	different	different	ADJ
ejpam-802	230	21	skew	skew	ADJ
ejpam-802	230	22	factors	factor	NOUN
ejpam-802	230	23	in	in	ADP
ejpam-802	230	24	two	two	NUM
ejpam-802	230	25	halves	half	NOUN
ejpam-802	230	26	of	of	ADP
ejpam-802	230	27	the	the	DET
ejpam-802	230	28	real	real	ADJ
ejpam-802	230	29	line	line	NOUN
ejpam-802	230	30	.	.	PUNCT
ejpam-802	231	1	there	there	PRON
ejpam-802	231	2	are	be	VERB
ejpam-802	231	3	many	many	ADJ
ejpam-802	231	4	follow	follow	VERB
ejpam-802	231	5	-	-	PUNCT
ejpam-802	231	6	up	up	ADP
ejpam-802	231	7	inference	inference	NOUN
ejpam-802	231	8	results	result	NOUN
ejpam-802	231	9	associated	associate	VERB
ejpam-802	231	10	with	with	ADP
ejpam-802	231	11	this	this	DET
ejpam-802	231	12	new	new	ADJ
ejpam-802	231	13	model	model	NOUN
ejpam-802	231	14	.	.	PUNCT
ejpam-802	232	1	for	for	ADP
ejpam-802	232	2	example	example	NOUN
ejpam-802	232	3	,	,	PUNCT
ejpam-802	232	4	the	the	DET
ejpam-802	232	5	goodness	goodness	NOUN
ejpam-802	232	6	of	of	ADP
ejpam-802	232	7	fit	fit	ADJ
ejpam-802	232	8	test	test	NOUN
ejpam-802	232	9	for	for	ADP
ejpam-802	232	10	the	the	DET
ejpam-802	232	11	new	new	ADJ
ejpam-802	232	12	skew	skew	ADJ
ejpam-802	232	13	normal	normal	ADJ
ejpam-802	232	14	model	model	NOUN
ejpam-802	232	15	can	can	AUX
ejpam-802	232	16	be	be	AUX
ejpam-802	232	17	developed	develop	VERB
ejpam-802	232	18	similarly	similarly	ADV
ejpam-802	232	19	to	to	ADP
ejpam-802	232	20	the	the	DET
ejpam-802	232	21	method	method	NOUN
ejpam-802	232	22	of	of	ADP
ejpam-802	232	23	[	[	X
ejpam-802	232	24	8	8	NUM
ejpam-802	232	25	]	]	PUNCT
ejpam-802	232	26	.	.	PUNCT
ejpam-802	233	1	the	the	DET
ejpam-802	233	2	new	new	ADJ
ejpam-802	233	3	skew	skew	NOUN
ejpam-802	233	4	-	-	PUNCT
ejpam-802	233	5	normal	normal	ADJ
ejpam-802	233	6	and	and	CCONJ
ejpam-802	233	7	skew	skew	NOUN
ejpam-802	233	8	-	-	PUNCT
ejpam-802	233	9	t	t	NOUN
ejpam-802	233	10	models	model	NOUN
ejpam-802	233	11	are	be	AUX
ejpam-802	233	12	essentially	essentially	ADV
ejpam-802	233	13	a	a	DET
ejpam-802	233	14	new	new	ADJ
ejpam-802	233	15	univariate	univariate	ADJ
ejpam-802	233	16	model	model	NOUN
ejpam-802	233	17	,	,	PUNCT
ejpam-802	233	18	which	which	PRON
ejpam-802	233	19	may	may	AUX
ejpam-802	233	20	be	be	AUX
ejpam-802	233	21	further	far	ADV
ejpam-802	233	22	extended	extend	VERB
ejpam-802	233	23	to	to	ADP
ejpam-802	233	24	a	a	DET
ejpam-802	233	25	new	new	ADJ
ejpam-802	233	26	multivariate	multivariate	NOUN
ejpam-802	233	27	-	-	PUNCT
ejpam-802	233	28	t	t	NOUN
ejpam-802	233	29	models	model	NOUN
ejpam-802	233	30	such	such	ADJ
ejpam-802	233	31	as	as	ADP
ejpam-802	233	32	the	the	DET
ejpam-802	233	33	gupta	gupta	PROPN
ejpam-802	233	34	and	and	CCONJ
ejpam-802	233	35	chen	chen	PROPN
ejpam-802	234	1	[	[	X
ejpam-802	234	2	9	9	NUM
ejpam-802	234	3	]	]	SYM
ejpam-802	234	4	formulation	formulation	NOUN
ejpam-802	234	5	or	or	CCONJ
ejpam-802	234	6	the	the	DET
ejpam-802	234	7	fernandez	fernandez	NOUN
ejpam-802	234	8	and	and	CCONJ
ejpam-802	234	9	steel	steel	NOUN
ejpam-802	234	10	[	[	X
ejpam-802	234	11	5	5	NUM
ejpam-802	234	12	]	]	PUNCT
ejpam-802	234	13	formulation	formulation	NOUN
ejpam-802	234	14	.	.	PUNCT
ejpam-802	235	1	references	reference	NOUN
ejpam-802	235	2	[	[	X
ejpam-802	235	3	1	1	NUM
ejpam-802	235	4	]	]	X
ejpam-802	235	5	j	j	PROPN
ejpam-802	235	6	chen	chen	PROPN
ejpam-802	235	7	and	and	CCONJ
ejpam-802	235	8	a	a	DET
ejpam-802	235	9	gupta	gupta	PROPN
ejpam-802	235	10	.	.	PUNCT
ejpam-802	235	11	matrix	matrix	NOUN
ejpam-802	235	12	variate	variate	NOUN
ejpam-802	235	13	skew	skew	ADJ
ejpam-802	235	14	normal	normal	ADJ
ejpam-802	235	15	distributions	distribution	NOUN
ejpam-802	235	16	.	.	PUNCT
ejpam-802	236	1	statistics	statistic	NOUN
ejpam-802	236	2	,	,	PUNCT
ejpam-802	236	3	39(3):247	39(3):247	PROPN
ejpam-802	236	4	–	–	PUNCT
ejpam-802	236	5	253	253	NUM
ejpam-802	236	6	,	,	PUNCT
ejpam-802	236	7	2005	2005	NUM
ejpam-802	236	8	.	.	PUNCT
ejpam-802	237	1	references	reference	NOUN
ejpam-802	237	2	540	540	NUM
ejpam-802	237	3	[	[	X
ejpam-802	237	4	2	2	NUM
ejpam-802	237	5	]	]	X
ejpam-802	237	6	j	j	PROPN
ejpam-802	237	7	chen	chen	PROPN
ejpam-802	237	8	,	,	PUNCT
ejpam-802	237	9	a	a	DET
ejpam-802	237	10	gupta	gupta	PROPN
ejpam-802	237	11	,	,	PUNCT
ejpam-802	237	12	and	and	CCONJ
ejpam-802	237	13	t	t	PROPN
ejpam-802	237	14	nguyen	nguyen	NOUN
ejpam-802	237	15	.	.	PUNCT
ejpam-802	238	1	the	the	DET
ejpam-802	238	2	density	density	NOUN
ejpam-802	238	3	of	of	ADP
ejpam-802	238	4	the	the	DET
ejpam-802	238	5	skew	skew	ADJ
ejpam-802	238	6	normal	normal	ADJ
ejpam-802	238	7	sample	sample	NOUN
ejpam-802	238	8	mean	mean	VERB
ejpam-802	238	9	and	and	CCONJ
ejpam-802	238	10	its	its	PRON
ejpam-802	238	11	applications	application	NOUN
ejpam-802	238	12	.	.	PUNCT
ejpam-802	239	1	journal	journal	NOUN
ejpam-802	239	2	of	of	ADP
ejpam-802	239	3	statistical	statistical	ADJ
ejpam-802	239	4	computation	computation	NOUN
ejpam-802	239	5	and	and	CCONJ
ejpam-802	239	6	simulation	simulation	NOUN
ejpam-802	239	7	,	,	PUNCT
ejpam-802	239	8	74(7):487–494	74(7):487–494	PROPN
ejpam-802	239	9	,	,	PUNCT
ejpam-802	239	10	2004	2004	NUM
ejpam-802	239	11	.	.	PUNCT
ejpam-802	240	1	[	[	X
ejpam-802	240	2	3	3	X
ejpam-802	240	3	]	]	X
ejpam-802	240	4	j	j	PROPN
ejpam-802	240	5	chen	chen	PROPN
ejpam-802	240	6	,	,	PUNCT
ejpam-802	240	7	a	a	DET
ejpam-802	240	8	gupta	gupta	PROPN
ejpam-802	240	9	,	,	PUNCT
ejpam-802	240	10	and	and	CCONJ
ejpam-802	240	11	c	c	PROPN
ejpam-802	240	12	troskie	troskie	NOUN
ejpam-802	240	13	.	.	PUNCT
ejpam-802	241	1	distribution	distribution	NOUN
ejpam-802	241	2	of	of	ADP
ejpam-802	241	3	stock	stock	NOUN
ejpam-802	241	4	returns	return	NOUN
ejpam-802	241	5	when	when	SCONJ
ejpam-802	241	6	the	the	DET
ejpam-802	241	7	market	market	NOUN
ejpam-802	241	8	is	be	AUX
ejpam-802	241	9	up	up	ADV
ejpam-802	241	10	(	(	PUNCT
ejpam-802	241	11	down	down	ADV
ejpam-802	241	12	)	)	PUNCT
ejpam-802	241	13	.	.	PUNCT
ejpam-802	242	1	communications	communication	NOUN
ejpam-802	242	2	in	in	ADP
ejpam-802	242	3	statistics	statistic	NOUN
ejpam-802	242	4	,	,	PUNCT
ejpam-802	242	5	32:1541–1558	32:1541–1558	NUM
ejpam-802	242	6	,	,	PUNCT
ejpam-802	242	7	2003	2003	NUM
ejpam-802	242	8	.	.	PUNCT
ejpam-802	243	1	[	[	X
ejpam-802	243	2	4	4	NUM
ejpam-802	243	3	]	]	X
ejpam-802	243	4	r	r	NOUN
ejpam-802	243	5	engle	engle	NOUN
ejpam-802	243	6	.	.	PUNCT
ejpam-802	244	1	autoregressive	autoregressive	ADJ
ejpam-802	244	2	conditional	conditional	ADJ
ejpam-802	244	3	heteroscedasticity	heteroscedasticity	NOUN
ejpam-802	244	4	with	with	ADP
ejpam-802	244	5	estimates	estimate	NOUN
ejpam-802	244	6	of	of	ADP
ejpam-802	244	7	the	the	DET
ejpam-802	244	8	variance	variance	NOUN
ejpam-802	244	9	of	of	ADP
ejpam-802	244	10	uk	uk	PROPN
ejpam-802	244	11	inflation	inflation	NOUN
ejpam-802	244	12	.	.	PUNCT
ejpam-802	245	1	econometrica	econometrica	PROPN
ejpam-802	245	2	,	,	PUNCT
ejpam-802	245	3	50:987–1007	50:987–1007	NUM
ejpam-802	245	4	,	,	PUNCT
ejpam-802	245	5	1982	1982	NUM
ejpam-802	245	6	.	.	PUNCT
ejpam-802	246	1	[	[	X
ejpam-802	246	2	5	5	NUM
ejpam-802	246	3	]	]	X
ejpam-802	246	4	c	c	PROPN
ejpam-802	246	5	fernandez	fernandez	PROPN
ejpam-802	246	6	and	and	CCONJ
ejpam-802	246	7	m	m	PROPN
ejpam-802	246	8	steel	steel	NOUN
ejpam-802	246	9	.	.	PUNCT
ejpam-802	247	1	multivariate	multivariate	NOUN
ejpam-802	247	2	student	student	NOUN
ejpam-802	247	3	-	-	PUNCT
ejpam-802	247	4	t	t	PROPN
ejpam-802	247	5	regression	regression	NOUN
ejpam-802	247	6	models	model	NOUN
ejpam-802	247	7	:	:	PUNCT
ejpam-802	247	8	pitfalls	pitfall	NOUN
ejpam-802	247	9	and	and	CCONJ
ejpam-802	247	10	inference	inference	NOUN
ejpam-802	247	11	.	.	PUNCT
ejpam-802	248	1	biometrika	biometrika	PROPN
ejpam-802	248	2	,	,	PUNCT
ejpam-802	248	3	86:153–167	86:153–167	PROPN
ejpam-802	248	4	,	,	PUNCT
ejpam-802	248	5	1999	1999	NUM
ejpam-802	248	6	.	.	PUNCT
ejpam-802	249	1	[	[	X
ejpam-802	249	2	6	6	NUM
ejpam-802	249	3	]	]	X
ejpam-802	249	4	c	c	PROPN
ejpam-802	249	5	granger	granger	PROPN
ejpam-802	249	6	.	.	PUNCT
ejpam-802	250	1	implications	implication	NOUN
ejpam-802	250	2	of	of	ADP
ejpam-802	250	3	aggregation	aggregation	NOUN
ejpam-802	250	4	with	with	ADP
ejpam-802	250	5	common	common	ADJ
ejpam-802	250	6	factors	factor	NOUN
ejpam-802	250	7	.	.	PUNCT
ejpam-802	251	1	economic	economic	ADJ
ejpam-802	251	2	theory	theory	NOUN
ejpam-802	251	3	,	,	PUNCT
ejpam-802	251	4	3:208	3:208	NUM
ejpam-802	251	5	–	–	PUNCT
ejpam-802	251	6	222	222	NUM
ejpam-802	251	7	,	,	PUNCT
ejpam-802	251	8	1987	1987	NUM
ejpam-802	251	9	.	.	PUNCT
ejpam-802	252	1	[	[	X
ejpam-802	252	2	7	7	NUM
ejpam-802	252	3	]	]	X
ejpam-802	252	4	c	c	PROPN
ejpam-802	252	5	granger	granger	PROPN
ejpam-802	252	6	,	,	PUNCT
ejpam-802	252	7	t	t	PROPN
ejpam-802	252	8	terasvirta	terasvirta	NOUN
ejpam-802	252	9	,	,	PUNCT
ejpam-802	252	10	and	and	CCONJ
ejpam-802	252	11	a	a	DET
ejpam-802	252	12	patton	patton	NOUN
ejpam-802	252	13	.	.	PUNCT
ejpam-802	253	1	common	common	ADJ
ejpam-802	253	2	factors	factor	NOUN
ejpam-802	253	3	in	in	ADP
ejpam-802	253	4	conditional	conditional	ADJ
ejpam-802	253	5	distributions	distribution	NOUN
ejpam-802	253	6	for	for	ADP
ejpam-802	253	7	bivariate	bivariate	ADJ
ejpam-802	253	8	time	time	NOUN
ejpam-802	253	9	series	series	NOUN
ejpam-802	253	10	.	.	PUNCT
ejpam-802	254	1	journal	journal	PROPN
ejpam-802	254	2	of	of	ADP
ejpam-802	254	3	econometrics	econometric	NOUN
ejpam-802	254	4	,	,	PUNCT
ejpam-802	254	5	132:43–57	132:43–57	NUM
ejpam-802	254	6	,	,	PUNCT
ejpam-802	254	7	2006	2006	NUM
ejpam-802	254	8	.	.	PUNCT
ejpam-802	255	1	[	[	X
ejpam-802	255	2	8	8	NUM
ejpam-802	255	3	]	]	X
ejpam-802	255	4	a	a	DET
ejpam-802	255	5	gupta	gupta	PROPN
ejpam-802	255	6	and	and	CCONJ
ejpam-802	255	7	j	j	PROPN
ejpam-802	255	8	chen	chen	PROPN
ejpam-802	255	9	.	.	PUNCT
ejpam-802	256	1	goodness	goodness	PROPN
ejpam-802	256	2	of	of	ADP
ejpam-802	256	3	fit	fit	ADJ
ejpam-802	256	4	test	test	NOUN
ejpam-802	256	5	for	for	ADP
ejpam-802	256	6	the	the	DET
ejpam-802	256	7	skew	skew	ADJ
ejpam-802	256	8	-	-	PUNCT
ejpam-802	256	9	normal	normal	ADJ
ejpam-802	256	10	distribution	distribution	NOUN
ejpam-802	256	11	.	.	PUNCT
ejpam-802	257	1	communication	communication	NOUN
ejpam-802	257	2	in	in	ADP
ejpam-802	257	3	statistics	statistic	NOUN
ejpam-802	257	4	,	,	PUNCT
ejpam-802	257	5	30(4):907–930	30(4):907–930	PROPN
ejpam-802	257	6	,	,	PUNCT
ejpam-802	257	7	2001	2001	NUM
ejpam-802	257	8	.	.	PUNCT
ejpam-802	258	1	[	[	X
ejpam-802	258	2	9	9	NUM
ejpam-802	258	3	]	]	PUNCT
ejpam-802	258	4	a	a	DET
ejpam-802	258	5	gupta	gupta	PROPN
ejpam-802	258	6	and	and	CCONJ
ejpam-802	258	7	j	j	PROPN
ejpam-802	258	8	chen	chen	PROPN
ejpam-802	258	9	.	.	PUNCT
ejpam-802	259	1	a	a	DET
ejpam-802	259	2	class	class	NOUN
ejpam-802	259	3	of	of	ADP
ejpam-802	259	4	multivariate	multivariate	NOUN
ejpam-802	259	5	skew	skew	ADJ
ejpam-802	259	6	-	-	PUNCT
ejpam-802	259	7	normal	normal	ADJ
ejpam-802	259	8	models	model	NOUN
ejpam-802	259	9	.	.	PUNCT
ejpam-802	260	1	the	the	DET
ejpam-802	260	2	annals	annal	NOUN
ejpam-802	260	3	of	of	ADP
ejpam-802	260	4	the	the	DET
ejpam-802	260	5	institute	institute	NOUN
ejpam-802	260	6	of	of	ADP
ejpam-802	260	7	statistical	statistical	ADJ
ejpam-802	260	8	mathematics	mathematic	NOUN
ejpam-802	260	9	,	,	PUNCT
ejpam-802	260	10	56(2):305–315	56(2):305–315	PROPN
ejpam-802	260	11	,	,	PUNCT
ejpam-802	260	12	2004	2004	NUM
ejpam-802	260	13	.	.	PUNCT
ejpam-802	261	1	[	[	X
ejpam-802	261	2	10	10	NUM
ejpam-802	261	3	]	]	X
ejpam-802	261	4	b	b	X
ejpam-802	261	5	hansen	hansen	PROPN
ejpam-802	261	6	.	.	PROPN
ejpam-802	261	7	autoregressive	autoregressive	ADJ
ejpam-802	261	8	conditional	conditional	ADJ
ejpam-802	261	9	density	density	NOUN
ejpam-802	261	10	estimation	estimation	NOUN
ejpam-802	261	11	.	.	PUNCT
ejpam-802	262	1	international	international	ADJ
ejpam-802	262	2	economic	economic	ADJ
ejpam-802	262	3	review	review	NOUN
ejpam-802	262	4	,	,	PUNCT
ejpam-802	262	5	35:705–730	35:705–730	PROPN
ejpam-802	262	6	,	,	PUNCT
ejpam-802	262	7	1994	1994	NUM
ejpam-802	262	8	.	.	PUNCT
ejpam-802	263	1	[	[	X
ejpam-802	263	2	11	11	NUM
ejpam-802	263	3	]	]	PUNCT
ejpam-802	263	4	t	t	NOUN
ejpam-802	263	5	nguyen	nguyen	NOUN
ejpam-802	263	6	,	,	PUNCT
ejpam-802	263	7	j	j	PROPN
ejpam-802	263	8	chen	chen	PROPN
ejpam-802	263	9	,	,	PUNCT
ejpam-802	263	10	a	a	DET
ejpam-802	263	11	gupta	gupta	PROPN
ejpam-802	263	12	,	,	PUNCT
ejpam-802	263	13	and	and	CCONJ
ejpam-802	263	14	k	k	PROPN
ejpam-802	263	15	dinh	dinh	PROPN
ejpam-802	263	16	.	.	PUNCT
ejpam-802	264	1	a	a	DET
ejpam-802	264	2	proof	proof	NOUN
ejpam-802	264	3	of	of	ADP
ejpam-802	264	4	the	the	DET
ejpam-802	264	5	conjecture	conjecture	NOUN
ejpam-802	264	6	on	on	ADP
ejpam-802	264	7	positive	positive	ADJ
ejpam-802	264	8	skewness	skewness	NOUN
ejpam-802	264	9	of	of	ADP
ejpam-802	264	10	generalized	generalized	ADJ
ejpam-802	264	11	inverse	inverse	NOUN
ejpam-802	264	12	gaussian	gaussian	NOUN
ejpam-802	264	13	distributions	distribution	NOUN
ejpam-802	264	14	.	.	PUNCT
ejpam-802	265	1	biometrika	biometrika	NOUN
ejpam-802	265	2	,	,	PUNCT
ejpam-802	265	3	90:245–250	90:245–250	NUM
ejpam-802	265	4	,	,	PUNCT
ejpam-802	265	5	2003	2003	NUM
ejpam-802	265	6	.	.	PUNCT
ejpam-802	266	1	[	[	X
ejpam-802	266	2	12	12	NUM
ejpam-802	266	3	]	]	X
ejpam-802	266	4	j	j	PROPN
ejpam-802	266	5	stock	stock	PROPN
ejpam-802	266	6	and	and	CCONJ
ejpam-802	266	7	m	m	PROPN
ejpam-802	266	8	watson	watson	PROPN
ejpam-802	266	9	.	.	PUNCT
ejpam-802	267	1	new	new	ADJ
ejpam-802	267	2	indexes	index	NOUN
ejpam-802	267	3	of	of	ADP
ejpam-802	267	4	coincident	coincident	NOUN
ejpam-802	267	5	and	and	CCONJ
ejpam-802	267	6	leading	lead	VERB
ejpam-802	267	7	economic	economic	ADJ
ejpam-802	267	8	indicators	indicator	NOUN
ejpam-802	267	9	.	.	PUNCT
ejpam-802	268	1	nber	nber	PROPN
ejpam-802	268	2	macroeconomics	macroeconomics	PROPN
ejpam-802	268	3	annual	annual	ADJ
ejpam-802	268	4	,	,	PUNCT
ejpam-802	268	5	4	4	NUM
ejpam-802	268	6	,	,	PUNCT
ejpam-802	268	7	1989	1989	NUM
ejpam-802	268	8	.	.	PUNCT