id	sid	tid	token	lemma	pos
ejpam-390	1	1	1_gupta.dvi	1_gupta.dvi	NUM
ejpam-390	1	2	european	european	ADJ
ejpam-390	1	3	journal	journal	NOUN
ejpam-390	1	4	of	of	ADP
ejpam-390	1	5	pure	pure	ADJ
ejpam-390	1	6	and	and	CCONJ
ejpam-390	1	7	applied	apply	VERB
ejpam-390	1	8	mathematics	mathematic	NOUN
ejpam-390	1	9	vol	vol	NOUN
ejpam-390	1	10	.	.	PROPN
ejpam-390	2	1	2	2	NUM
ejpam-390	2	2	,	,	PUNCT
ejpam-390	2	3	no	no	INTJ
ejpam-390	2	4	.	.	NOUN
ejpam-390	2	5	1	1	NUM
ejpam-390	2	6	,	,	PUNCT
ejpam-390	2	7	2009	2009	NUM
ejpam-390	2	8	,	,	PUNCT
ejpam-390	2	9	(	(	PUNCT
ejpam-390	2	10	1	1	NUM
ejpam-390	2	11	-	-	SYM
ejpam-390	2	12	20	20	NUM
ejpam-390	2	13	)	)	PUNCT
ejpam-390	2	14	issn	issn	PROPN
ejpam-390	2	15	1307	1307	NUM
ejpam-390	2	16	-	-	SYM
ejpam-390	2	17	5543	5543	NUM
ejpam-390	2	18	–	–	PUNCT
ejpam-390	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-390	2	20	skewed	skew	VERB
ejpam-390	2	21	double	double	ADJ
ejpam-390	2	22	exponential	exponential	ADJ
ejpam-390	2	23	distribution	distribution	NOUN
ejpam-390	2	24	and	and	CCONJ
ejpam-390	2	25	its	its	PRON
ejpam-390	2	26	stochastic	stochastic	ADJ
ejpam-390	2	27	representation	representation	NOUN
ejpam-390	2	28	keshav	keshav	PROPN
ejpam-390	2	29	jagannathan12	jagannathan12	NOUN
ejpam-390	2	30	,	,	PUNCT
ejpam-390	2	31	arjun	arjun	PROPN
ejpam-390	2	32	k.	k.	PROPN
ejpam-390	2	33	gupta2∗	gupta2∗	PROPN
ejpam-390	2	34	,	,	PUNCT
ejpam-390	2	35	and	and	CCONJ
ejpam-390	2	36	truc	truc	X
ejpam-390	2	37	t.	t.	NOUN
ejpam-390	2	38	nguyen2	nguyen2	PROPN
ejpam-390	2	39	1	1	NUM
ejpam-390	2	40	coastal	coastal	PROPN
ejpam-390	2	41	carolina	carolina	PROPN
ejpam-390	2	42	university	university	PROPN
ejpam-390	2	43	conway	conway	PROPN
ejpam-390	2	44	,	,	PUNCT
ejpam-390	2	45	south	south	PROPN
ejpam-390	2	46	carolina	carolina	PROPN
ejpam-390	2	47	,	,	PUNCT
ejpam-390	2	48	u.s.a	u.s.a	PROPN
ejpam-390	2	49	2	2	NUM
ejpam-390	2	50	bowling	bowling	NOUN
ejpam-390	2	51	green	green	ADJ
ejpam-390	2	52	state	state	PROPN
ejpam-390	2	53	university	university	PROPN
ejpam-390	2	54	bowling	bowling	NOUN
ejpam-390	2	55	green	green	NOUN
ejpam-390	2	56	,	,	PUNCT
ejpam-390	2	57	ohio	ohio	PROPN
ejpam-390	2	58	,	,	PUNCT
ejpam-390	2	59	u.s.a	u.s.a	PROPN
ejpam-390	2	60	abstract	abstract	NOUN
ejpam-390	2	61	.	.	PUNCT
ejpam-390	3	1	definitions	definition	NOUN
ejpam-390	3	2	of	of	ADP
ejpam-390	3	3	the	the	DET
ejpam-390	3	4	skewed	skewed	ADJ
ejpam-390	3	5	double	double	ADJ
ejpam-390	3	6	exponential	exponential	NOUN
ejpam-390	3	7	(	(	PUNCT
ejpam-390	3	8	sde	sde	NOUN
ejpam-390	3	9	)	)	PUNCT
ejpam-390	3	10	distribution	distribution	NOUN
ejpam-390	3	11	in	in	ADP
ejpam-390	3	12	terms	term	NOUN
ejpam-390	3	13	of	of	ADP
ejpam-390	3	14	a	a	DET
ejpam-390	3	15	mixture	mixture	NOUN
ejpam-390	3	16	of	of	ADP
ejpam-390	3	17	double	double	ADJ
ejpam-390	3	18	exponential	exponential	ADJ
ejpam-390	3	19	distributions	distribution	NOUN
ejpam-390	3	20	as	as	ADV
ejpam-390	3	21	well	well	ADV
ejpam-390	3	22	as	as	ADP
ejpam-390	3	23	in	in	ADP
ejpam-390	3	24	terms	term	NOUN
ejpam-390	3	25	of	of	ADP
ejpam-390	3	26	a	a	DET
ejpam-390	3	27	scaled	scale	VERB
ejpam-390	3	28	product	product	NOUN
ejpam-390	3	29	of	of	ADP
ejpam-390	3	30	a	a	DET
ejpam-390	3	31	c.d.f	c.d.f	NOUN
ejpam-390	3	32	.	.	PUNCT
ejpam-390	4	1	and	and	CCONJ
ejpam-390	4	2	a	a	DET
ejpam-390	4	3	p.d.f	p.d.f	NOUN
ejpam-390	4	4	.	.	PUNCT
ejpam-390	5	1	of	of	ADP
ejpam-390	5	2	double	double	ADJ
ejpam-390	5	3	exponential	exponential	ADJ
ejpam-390	5	4	random	random	ADJ
ejpam-390	5	5	variable	variable	NOUN
ejpam-390	5	6	are	be	AUX
ejpam-390	5	7	proposed	propose	VERB
ejpam-390	5	8	.	.	PUNCT
ejpam-390	6	1	its	its	PRON
ejpam-390	6	2	basic	basic	ADJ
ejpam-390	6	3	properties	property	NOUN
ejpam-390	6	4	are	be	AUX
ejpam-390	6	5	studied	study	VERB
ejpam-390	6	6	.	.	PUNCT
ejpam-390	7	1	multi	multi	ADJ
ejpam-390	7	2	-	-	ADJ
ejpam-390	7	3	parameter	parameter	ADJ
ejpam-390	7	4	versions	version	NOUN
ejpam-390	7	5	of	of	ADP
ejpam-390	7	6	the	the	DET
ejpam-390	7	7	skewed	skewed	ADJ
ejpam-390	7	8	double	double	ADJ
ejpam-390	7	9	exponential	exponential	ADJ
ejpam-390	7	10	distribution	distribution	NOUN
ejpam-390	7	11	are	be	AUX
ejpam-390	7	12	also	also	ADV
ejpam-390	7	13	given	give	VERB
ejpam-390	7	14	.	.	PUNCT
ejpam-390	8	1	characterization	characterization	NOUN
ejpam-390	8	2	of	of	ADP
ejpam-390	8	3	the	the	DET
ejpam-390	8	4	sde	sde	PROPN
ejpam-390	8	5	family	family	NOUN
ejpam-390	8	6	of	of	ADP
ejpam-390	8	7	distributions	distribution	NOUN
ejpam-390	8	8	and	and	CCONJ
ejpam-390	8	9	stochastic	stochastic	ADJ
ejpam-390	8	10	representation	representation	NOUN
ejpam-390	8	11	of	of	ADP
ejpam-390	8	12	the	the	DET
ejpam-390	8	13	sde	sde	PROPN
ejpam-390	8	14	distribution	distribution	NOUN
ejpam-390	8	15	are	be	AUX
ejpam-390	8	16	derived	derive	VERB
ejpam-390	8	17	.	.	PUNCT
ejpam-390	9	1	ams	am	NOUN
ejpam-390	9	2	subject	subject	ADJ
ejpam-390	9	3	classifications	classification	NOUN
ejpam-390	9	4	:	:	PUNCT
ejpam-390	9	5	primary	primary	ADJ
ejpam-390	9	6	62e10	62e10	NOUN
ejpam-390	9	7	,	,	PUNCT
ejpam-390	9	8	secondary	secondary	ADJ
ejpam-390	9	9	62e15	62e15	NOUN
ejpam-390	9	10	.	.	PUNCT
ejpam-390	10	1	key	key	ADJ
ejpam-390	10	2	words	word	NOUN
ejpam-390	10	3	:	:	PUNCT
ejpam-390	10	4	symmetric	symmetric	ADJ
ejpam-390	10	5	distributions	distribution	NOUN
ejpam-390	10	6	,	,	PUNCT
ejpam-390	10	7	skew	skew	ADJ
ejpam-390	10	8	distributions	distribution	NOUN
ejpam-390	10	9	,	,	PUNCT
ejpam-390	10	10	stochastic	stochastic	ADJ
ejpam-390	10	11	representation	representation	NOUN
ejpam-390	10	12	,	,	PUNCT
ejpam-390	10	13	linear	linear	ADJ
ejpam-390	10	14	combination	combination	NOUN
ejpam-390	10	15	of	of	ADP
ejpam-390	10	16	random	random	ADJ
ejpam-390	10	17	variables	variable	NOUN
ejpam-390	10	18	,	,	PUNCT
ejpam-390	10	19	characterizations	characterization	NOUN
ejpam-390	10	20	,	,	PUNCT
ejpam-390	10	21	skew	skew	ADJ
ejpam-390	10	22	normal	normal	ADJ
ejpam-390	10	23	distribution	distribution	NOUN
ejpam-390	10	24	.	.	PUNCT
ejpam-390	11	1	1	1	X
ejpam-390	11	2	.	.	X
ejpam-390	11	3	introduction	introduction	NOUN
ejpam-390	11	4	the	the	DET
ejpam-390	11	5	double	double	ADJ
ejpam-390	11	6	exponential	exponential	ADJ
ejpam-390	11	7	distribution	distribution	NOUN
ejpam-390	11	8	was	be	AUX
ejpam-390	11	9	first	first	ADV
ejpam-390	11	10	published	publish	VERB
ejpam-390	11	11	as	as	ADP
ejpam-390	11	12	laplace	laplace	NOUN
ejpam-390	11	13	’s	’s	PART
ejpam-390	11	14	first	first	ADJ
ejpam-390	11	15	law	law	NOUN
ejpam-390	11	16	of	of	ADP
ejpam-390	11	17	error	error	NOUN
ejpam-390	11	18	in	in	ADP
ejpam-390	11	19	the	the	DET
ejpam-390	11	20	year	year	NOUN
ejpam-390	11	21	1774	1774	NUM
ejpam-390	11	22	and	and	CCONJ
ejpam-390	11	23	stated	state	VERB
ejpam-390	11	24	that	that	SCONJ
ejpam-390	11	25	the	the	DET
ejpam-390	11	26	frequency	frequency	NOUN
ejpam-390	11	27	of	of	ADP
ejpam-390	11	28	an	an	DET
ejpam-390	11	29	error	error	NOUN
ejpam-390	11	30	could	could	AUX
ejpam-390	11	31	be	be	AUX
ejpam-390	11	32	expressed	express	VERB
ejpam-390	11	33	as	as	ADP
ejpam-390	11	34	an	an	DET
ejpam-390	11	35	exponential	exponential	ADJ
ejpam-390	11	36	function	function	NOUN
ejpam-390	11	37	of	of	ADP
ejpam-390	11	38	the	the	DET
ejpam-390	11	39	numerical	numerical	ADJ
ejpam-390	11	40	magnitude	magnitude	NOUN
ejpam-390	11	41	of	of	ADP
ejpam-390	11	42	the	the	DET
ejpam-390	11	43	error	error	NOUN
ejpam-390	11	44	,	,	PUNCT
ejpam-390	11	45	disregarding	disregard	VERB
ejpam-390	11	46	sign	sign	NOUN
ejpam-390	11	47	.	.	PUNCT
ejpam-390	12	1	this	this	DET
ejpam-390	12	2	distribution	distribution	NOUN
ejpam-390	12	3	comes	come	VERB
ejpam-390	12	4	up	up	ADP
ejpam-390	12	5	as	as	ADP
ejpam-390	12	6	a	a	DET
ejpam-390	12	7	model	model	NOUN
ejpam-390	12	8	in	in	ADP
ejpam-390	12	9	many	many	ADJ
ejpam-390	12	10	statistical	statistical	ADJ
ejpam-390	12	11	problems	problem	NOUN
ejpam-390	12	12	.	.	PUNCT
ejpam-390	13	1	it	it	PRON
ejpam-390	13	2	is	be	AUX
ejpam-390	13	3	also	also	ADV
ejpam-390	13	4	considered	consider	VERB
ejpam-390	13	5	in	in	ADP
ejpam-390	13	6	robustness	robustness	NOUN
ejpam-390	13	7	studies	study	NOUN
ejpam-390	13	8	,	,	PUNCT
ejpam-390	13	9	which	which	PRON
ejpam-390	13	10	suggests	suggest	VERB
ejpam-390	13	11	that	that	SCONJ
ejpam-390	13	12	it	it	PRON
ejpam-390	13	13	provides	provide	VERB
ejpam-390	13	14	a	a	DET
ejpam-390	13	15	model	model	NOUN
ejpam-390	13	16	with	with	ADP
ejpam-390	13	17	different	different	ADJ
ejpam-390	13	18	characteristics	characteristic	NOUN
ejpam-390	13	19	∗corresponding	∗corresponde	VERB
ejpam-390	13	20	author	author	NOUN
ejpam-390	13	21	.	.	PUNCT
ejpam-390	14	1	email	email	NOUN
ejpam-390	14	2	address	address	NOUN
ejpam-390	14	3	:	:	PUNCT
ejpam-390	14	4	gupta�bgsu.edu	gupta�bgsu.edu	PROPN
ejpam-390	14	5	(	(	PUNCT
ejpam-390	14	6	a.	a.	PROPN
ejpam-390	14	7	gupta	gupta	PROPN
ejpam-390	14	8	)	)	PUNCT
ejpam-390	14	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-390	15	1	1	1	NUM
ejpam-390	15	2	c	c	X
ejpam-390	15	3	©	©	PROPN
ejpam-390	15	4	2009	2009	NUM
ejpam-390	15	5	ejpam	ejpam	NOUN
ejpam-390	15	6	all	all	DET
ejpam-390	15	7	rights	right	NOUN
ejpam-390	15	8	reserved	reserve	VERB
ejpam-390	15	9	.	.	PUNCT
ejpam-390	16	1	k.	k.	PROPN
ejpam-390	16	2	jagannathan	jagannathan	PROPN
ejpam-390	16	3	,	,	PUNCT
ejpam-390	16	4	a.	a.	PROPN
ejpam-390	16	5	gupta	gupta	PROPN
ejpam-390	16	6	,	,	PUNCT
ejpam-390	16	7	and	and	CCONJ
ejpam-390	16	8	t.	t.	PROPN
ejpam-390	16	9	nguyen	nguyen	PROPN
ejpam-390	16	10	/	/	SYM
ejpam-390	16	11	eur	eur	PROPN
ejpam-390	16	12	.	.	PUNCT
ejpam-390	17	1	j.	j.	PROPN
ejpam-390	17	2	pure	pure	PROPN
ejpam-390	17	3	appl	appl	PROPN
ejpam-390	17	4	.	.	PROPN
ejpam-390	17	5	math	math	PROPN
ejpam-390	17	6	,	,	PUNCT
ejpam-390	17	7	2	2	NUM
ejpam-390	17	8	(	(	PUNCT
ejpam-390	17	9	2009	2009	NUM
ejpam-390	17	10	)	)	PUNCT
ejpam-390	17	11	,	,	PUNCT
ejpam-390	17	12	(	(	PUNCT
ejpam-390	17	13	1	1	NUM
ejpam-390	17	14	-	-	SYM
ejpam-390	17	15	20	20	NUM
ejpam-390	17	16	)	)	PUNCT
ejpam-390	17	17	2	2	NUM
ejpam-390	17	18	than	than	ADP
ejpam-390	17	19	other	other	ADJ
ejpam-390	17	20	symmetric	symmetric	ADJ
ejpam-390	17	21	distributions	distribution	NOUN
ejpam-390	17	22	.	.	PUNCT
ejpam-390	18	1	in	in	ADP
ejpam-390	18	2	particular	particular	ADJ
ejpam-390	18	3	,	,	PUNCT
ejpam-390	18	4	the	the	DET
ejpam-390	18	5	tails	tail	NOUN
ejpam-390	18	6	are	be	AUX
ejpam-390	18	7	thicker	thick	ADJ
ejpam-390	18	8	than	than	ADP
ejpam-390	18	9	those	those	PRON
ejpam-390	18	10	of	of	ADP
ejpam-390	18	11	the	the	DET
ejpam-390	18	12	normal	normal	ADJ
ejpam-390	18	13	distribution	distribution	NOUN
ejpam-390	18	14	,	,	PUNCT
ejpam-390	18	15	but	but	CCONJ
ejpam-390	18	16	not	not	PART
ejpam-390	18	17	as	as	ADV
ejpam-390	18	18	thick	thick	ADJ
ejpam-390	18	19	as	as	ADP
ejpam-390	18	20	the	the	DET
ejpam-390	18	21	cauchy	cauchy	ADJ
ejpam-390	18	22	distribution	distribution	NOUN
ejpam-390	18	23	.	.	PUNCT
ejpam-390	19	1	this	this	DET
ejpam-390	19	2	distribution	distribution	NOUN
ejpam-390	19	3	has	have	AUX
ejpam-390	19	4	not	not	PART
ejpam-390	19	5	gained	gain	VERB
ejpam-390	19	6	much	much	ADJ
ejpam-390	19	7	exposure	exposure	NOUN
ejpam-390	19	8	,	,	PUNCT
ejpam-390	19	9	possibly	possibly	ADV
ejpam-390	19	10	partly	partly	ADV
ejpam-390	19	11	due	due	ADJ
ejpam-390	19	12	to	to	ADP
ejpam-390	19	13	a	a	DET
ejpam-390	19	14	lack	lack	NOUN
ejpam-390	19	15	of	of	ADP
ejpam-390	19	16	available	available	ADJ
ejpam-390	19	17	statistical	statistical	ADJ
ejpam-390	19	18	techniques	technique	NOUN
ejpam-390	19	19	and	and	CCONJ
ejpam-390	19	20	partly	partly	ADV
ejpam-390	19	21	due	due	ADJ
ejpam-390	19	22	to	to	ADP
ejpam-390	19	23	the	the	DET
ejpam-390	19	24	sharpness	sharpness	NOUN
ejpam-390	19	25	of	of	ADP
ejpam-390	19	26	the	the	DET
ejpam-390	19	27	peak	peak	NOUN
ejpam-390	19	28	.	.	PUNCT
ejpam-390	20	1	many	many	ADJ
ejpam-390	20	2	applications	application	NOUN
ejpam-390	20	3	are	be	AUX
ejpam-390	20	4	concerned	concern	VERB
ejpam-390	20	5	with	with	ADP
ejpam-390	20	6	tail	tail	NOUN
ejpam-390	20	7	probabilities	probability	NOUN
ejpam-390	20	8	and	and	CCONJ
ejpam-390	20	9	the	the	DET
ejpam-390	20	10	double	double	ADJ
ejpam-390	20	11	exponential	exponential	ADJ
ejpam-390	20	12	distribution	distribution	NOUN
ejpam-390	20	13	would	would	AUX
ejpam-390	20	14	be	be	AUX
ejpam-390	20	15	a	a	DET
ejpam-390	20	16	good	good	ADJ
ejpam-390	20	17	choice	choice	NOUN
ejpam-390	20	18	when	when	SCONJ
ejpam-390	20	19	exponential	exponential	ADJ
ejpam-390	20	20	tails	tail	NOUN
ejpam-390	20	21	are	be	AUX
ejpam-390	20	22	required	require	VERB
ejpam-390	20	23	.	.	PUNCT
ejpam-390	21	1	the	the	DET
ejpam-390	21	2	skewed	skewed	ADJ
ejpam-390	21	3	double	double	ADJ
ejpam-390	21	4	exponential	exponential	ADJ
ejpam-390	21	5	distribution	distribution	NOUN
ejpam-390	21	6	(	(	PUNCT
ejpam-390	21	7	sde	sde	PROPN
ejpam-390	21	8	)	)	PUNCT
ejpam-390	21	9	,	,	PUNCT
ejpam-390	21	10	proposed	propose	VERB
ejpam-390	21	11	here	here	ADV
ejpam-390	21	12	,	,	PUNCT
ejpam-390	21	13	is	be	AUX
ejpam-390	21	14	a	a	DET
ejpam-390	21	15	good	good	ADJ
ejpam-390	21	16	addition	addition	NOUN
ejpam-390	21	17	to	to	ADP
ejpam-390	21	18	the	the	DET
ejpam-390	21	19	family	family	NOUN
ejpam-390	21	20	of	of	ADP
ejpam-390	21	21	skewed	skewed	ADJ
ejpam-390	21	22	distributions	distribution	NOUN
ejpam-390	21	23	in	in	ADP
ejpam-390	21	24	the	the	DET
ejpam-390	21	25	sense	sense	NOUN
ejpam-390	21	26	that	that	SCONJ
ejpam-390	21	27	,	,	PUNCT
ejpam-390	21	28	like	like	ADP
ejpam-390	21	29	the	the	DET
ejpam-390	21	30	skew	skew	ADJ
ejpam-390	21	31	normal	normal	ADJ
ejpam-390	21	32	distribution	distribution	NOUN
ejpam-390	21	33	,	,	PUNCT
ejpam-390	21	34	it	it	PRON
ejpam-390	21	35	is	be	AUX
ejpam-390	21	36	a	a	DET
ejpam-390	21	37	skewed	skewed	ADJ
ejpam-390	21	38	distribution	distribution	NOUN
ejpam-390	21	39	that	that	PRON
ejpam-390	21	40	possesses	possess	VERB
ejpam-390	21	41	many	many	ADJ
ejpam-390	21	42	of	of	ADP
ejpam-390	21	43	the	the	DET
ejpam-390	21	44	properties	property	NOUN
ejpam-390	21	45	that	that	PRON
ejpam-390	21	46	symmetric	symmetric	ADJ
ejpam-390	21	47	distributions	distribution	NOUN
ejpam-390	21	48	do	do	VERB
ejpam-390	21	49	,	,	PUNCT
ejpam-390	21	50	while	while	SCONJ
ejpam-390	21	51	at	at	ADP
ejpam-390	21	52	the	the	DET
ejpam-390	21	53	same	same	ADJ
ejpam-390	21	54	time	time	NOUN
ejpam-390	21	55	,	,	PUNCT
ejpam-390	21	56	being	be	AUX
ejpam-390	21	57	skewed	skew	VERB
ejpam-390	21	58	,	,	PUNCT
ejpam-390	21	59	provides	provide	VERB
ejpam-390	21	60	a	a	DET
ejpam-390	21	61	better	well	ADJ
ejpam-390	21	62	fit	fit	NOUN
ejpam-390	21	63	to	to	ADP
ejpam-390	21	64	real	real	ADJ
ejpam-390	21	65	life	life	NOUN
ejpam-390	21	66	data	datum	NOUN
ejpam-390	21	67	that	that	PRON
ejpam-390	21	68	is	be	AUX
ejpam-390	21	69	seldom	seldom	ADV
ejpam-390	21	70	symmetric	symmetric	ADJ
ejpam-390	21	71	in	in	ADP
ejpam-390	21	72	nature	nature	NOUN
ejpam-390	21	73	.	.	PUNCT
ejpam-390	22	1	there	there	PRON
ejpam-390	22	2	are	be	VERB
ejpam-390	22	3	many	many	ADJ
ejpam-390	22	4	sde	sde	PROPN
ejpam-390	22	5	type	type	NOUN
ejpam-390	22	6	random	random	ADJ
ejpam-390	22	7	variables	variable	NOUN
ejpam-390	22	8	in	in	ADP
ejpam-390	22	9	literature	literature	NOUN
ejpam-390	22	10	including	include	VERB
ejpam-390	22	11	those	those	PRON
ejpam-390	22	12	introduced	introduce	VERB
ejpam-390	22	13	by	by	ADP
ejpam-390	22	14	mcgill(1962	mcgill(1962	PROPN
ejpam-390	22	15	)	)	PUNCT
ejpam-390	22	16	,	,	PUNCT
ejpam-390	22	17	holla	holla	NOUN
ejpam-390	22	18	and	and	CCONJ
ejpam-390	22	19	bhattacharya(1968	bhattacharya(1968	NOUN
ejpam-390	22	20	)	)	PUNCT
ejpam-390	22	21	,	,	PUNCT
ejpam-390	22	22	lingappaiah(1988	lingappaiah(1988	NUM
ejpam-390	22	23	)	)	PUNCT
ejpam-390	22	24	,	,	PUNCT
ejpam-390	22	25	poiraud	poiraud	NOUN
ejpam-390	22	26	-	-	PUNCT
ejpam-390	22	27	cassanova	cassanova	PROPN
ejpam-390	22	28	and	and	CCONJ
ejpam-390	22	29	thomas	thomas	PROPN
ejpam-390	22	30	-	-	PUNCT
ejpam-390	22	31	agnan(2000	agnan(2000	PROPN
ejpam-390	22	32	)	)	PUNCT
ejpam-390	22	33	,	,	PUNCT
ejpam-390	22	34	hinkley	hinkley	NOUN
ejpam-390	22	35	and	and	CCONJ
ejpam-390	22	36	revankar(1977	revankar(1977	PROPN
ejpam-390	22	37	)	)	PUNCT
ejpam-390	22	38	,	,	PUNCT
ejpam-390	22	39	and	and	CCONJ
ejpam-390	22	40	kozubowski	kozubowski	NOUN
ejpam-390	22	41	and	and	CCONJ
ejpam-390	22	42	podgórski(2000	podgórski(2000	NUM
ejpam-390	22	43	)	)	PUNCT
ejpam-390	22	44	to	to	PART
ejpam-390	22	45	name	name	VERB
ejpam-390	22	46	a	a	DET
ejpam-390	22	47	few	few	ADJ
ejpam-390	22	48	.	.	PUNCT
ejpam-390	23	1	one	one	NUM
ejpam-390	23	2	of	of	ADP
ejpam-390	23	3	the	the	DET
ejpam-390	23	4	approaches	approach	NOUN
ejpam-390	23	5	that	that	PRON
ejpam-390	23	6	we	we	PRON
ejpam-390	23	7	take	take	VERB
ejpam-390	23	8	in	in	ADP
ejpam-390	23	9	this	this	DET
ejpam-390	23	10	paper	paper	NOUN
ejpam-390	23	11	is	be	AUX
ejpam-390	23	12	to	to	PART
ejpam-390	23	13	look	look	VERB
ejpam-390	23	14	at	at	ADP
ejpam-390	23	15	the	the	DET
ejpam-390	23	16	mixture	mixture	NOUN
ejpam-390	23	17	of	of	ADP
ejpam-390	23	18	a	a	DET
ejpam-390	23	19	double	double	ADJ
ejpam-390	23	20	exponential	exponential	ADJ
ejpam-390	23	21	random	random	ADJ
ejpam-390	23	22	variable	variable	NOUN
ejpam-390	23	23	and	and	CCONJ
ejpam-390	23	24	an	an	DET
ejpam-390	23	25	exponential	exponential	ADJ
ejpam-390	23	26	random	random	ADJ
ejpam-390	23	27	variable	variable	NOUN
ejpam-390	23	28	.	.	PUNCT
ejpam-390	24	1	the	the	DET
ejpam-390	24	2	other	other	ADJ
ejpam-390	24	3	approach	approach	NOUN
ejpam-390	24	4	is	be	AUX
ejpam-390	24	5	similar	similar	ADJ
ejpam-390	24	6	to	to	ADP
ejpam-390	24	7	that	that	PRON
ejpam-390	24	8	of	of	ADP
ejpam-390	24	9	azzalini(1985	azzalini(1985	NOUN
ejpam-390	24	10	)	)	PUNCT
ejpam-390	24	11	in	in	ADP
ejpam-390	24	12	generating	generate	VERB
ejpam-390	24	13	skew	skew	ADJ
ejpam-390	24	14	normal	normal	ADJ
ejpam-390	24	15	random	random	ADJ
ejpam-390	24	16	variables	variable	NOUN
ejpam-390	24	17	.	.	PUNCT
ejpam-390	25	1	there	there	PRON
ejpam-390	25	2	are	be	VERB
ejpam-390	25	3	advantages	advantage	NOUN
ejpam-390	25	4	and	and	CCONJ
ejpam-390	25	5	disadvantages	disadvantage	NOUN
ejpam-390	25	6	to	to	ADP
ejpam-390	25	7	both	both	DET
ejpam-390	25	8	models	model	NOUN
ejpam-390	25	9	as	as	SCONJ
ejpam-390	25	10	will	will	AUX
ejpam-390	25	11	be	be	AUX
ejpam-390	25	12	evident	evident	ADJ
ejpam-390	25	13	in	in	ADP
ejpam-390	25	14	later	late	ADJ
ejpam-390	25	15	sections	section	NOUN
ejpam-390	25	16	of	of	ADP
ejpam-390	25	17	this	this	DET
ejpam-390	25	18	paper	paper	NOUN
ejpam-390	25	19	.	.	PUNCT
ejpam-390	26	1	section	section	NOUN
ejpam-390	26	2	2	2	NUM
ejpam-390	26	3	deals	deal	NOUN
ejpam-390	26	4	with	with	ADP
ejpam-390	26	5	preliminary	preliminary	ADJ
ejpam-390	26	6	results	result	NOUN
ejpam-390	26	7	necessary	necessary	ADJ
ejpam-390	26	8	for	for	ADP
ejpam-390	26	9	results	result	NOUN
ejpam-390	26	10	in	in	ADP
ejpam-390	26	11	this	this	DET
ejpam-390	26	12	paper	paper	NOUN
ejpam-390	26	13	.	.	PUNCT
ejpam-390	27	1	section	section	NOUN
ejpam-390	27	2	3	3	NUM
ejpam-390	27	3	talks	talk	NOUN
ejpam-390	27	4	about	about	ADP
ejpam-390	27	5	the	the	DET
ejpam-390	27	6	sde1	sde1	NOUN
ejpam-390	27	7	distribution	distribution	NOUN
ejpam-390	27	8	and	and	CCONJ
ejpam-390	27	9	its	its	PRON
ejpam-390	27	10	various	various	ADJ
ejpam-390	27	11	representations	representation	NOUN
ejpam-390	27	12	.	.	PUNCT
ejpam-390	28	1	section	section	NOUN
ejpam-390	28	2	4	4	NUM
ejpam-390	28	3	discusses	discuss	VERB
ejpam-390	28	4	the	the	DET
ejpam-390	28	5	sde2	sde2	NOUN
ejpam-390	28	6	distribution	distribution	NOUN
ejpam-390	28	7	and	and	CCONJ
ejpam-390	28	8	its	its	PRON
ejpam-390	28	9	characterization	characterization	NOUN
ejpam-390	28	10	in	in	ADP
ejpam-390	28	11	terms	term	NOUN
ejpam-390	28	12	of	of	ADP
ejpam-390	28	13	the	the	DET
ejpam-390	28	14	double	double	ADJ
ejpam-390	28	15	exponential	exponential	ADJ
ejpam-390	28	16	distribution	distribution	NOUN
ejpam-390	28	17	.	.	PUNCT
ejpam-390	29	1	2	2	X
ejpam-390	29	2	.	.	X
ejpam-390	29	3	preliminary	preliminary	ADJ
ejpam-390	29	4	results	result	NOUN
ejpam-390	29	5	and	and	CCONJ
ejpam-390	29	6	definitions	definition	NOUN
ejpam-390	29	7	definiton	definiton	PROPN
ejpam-390	29	8	1	1	X
ejpam-390	29	9	.	.	PUNCT
ejpam-390	29	10	consider	consider	VERB
ejpam-390	29	11	a	a	DET
ejpam-390	29	12	random	random	ADJ
ejpam-390	29	13	variable	variable	NOUN
ejpam-390	29	14	u	u	NOUN
ejpam-390	29	15	distributed	distribute	VERB
ejpam-390	29	16	as	as	ADP
ejpam-390	29	17	a	a	DET
ejpam-390	29	18	double	double	ADJ
ejpam-390	29	19	exponential	exponential	ADJ
ejpam-390	29	20	distribution	distribution	NOUN
ejpam-390	29	21	(	(	PUNCT
ejpam-390	29	22	u	u	NOUN
ejpam-390	29	23	∼	∼	NOUN
ejpam-390	29	24	de(η	de(η	NOUN
ejpam-390	29	25	,	,	PUNCT
ejpam-390	29	26	θ	θ	NOUN
ejpam-390	29	27	)	)	PUNCT
ejpam-390	29	28	)	)	PUNCT
ejpam-390	29	29	if	if	SCONJ
ejpam-390	29	30	it	it	PRON
ejpam-390	29	31	has	have	VERB
ejpam-390	29	32	probability	probability	NOUN
ejpam-390	29	33	density	density	NOUN
ejpam-390	29	34	function(p.d.f	function(p.d.f	NOUN
ejpam-390	29	35	.	.	PUNCT
ejpam-390	29	36	)	)	PUNCT
ejpam-390	30	1	given	give	VERB
ejpam-390	30	2	by	by	ADP
ejpam-390	30	3	fu	fu	NOUN
ejpam-390	30	4	(	(	PUNCT
ejpam-390	30	5	u	u	NOUN
ejpam-390	30	6	)	)	PUNCT
ejpam-390	30	7	=	=	SYM
ejpam-390	30	8	1	1	NUM
ejpam-390	30	9	2θ	2θ	NUM
ejpam-390	30	10	e|u−η|/θ	e|u−η|/θ	NOUN
ejpam-390	30	11	,	,	PUNCT
ejpam-390	30	12	u	u	PROPN
ejpam-390	30	13	∈	∈	PROPN
ejpam-390	30	14	r.	r.	PROPN
ejpam-390	30	15	k.	k.	PROPN
ejpam-390	30	16	jagannathan	jagannathan	PROPN
ejpam-390	30	17	,	,	PUNCT
ejpam-390	30	18	a.	a.	PROPN
ejpam-390	30	19	gupta	gupta	PROPN
ejpam-390	30	20	,	,	PUNCT
ejpam-390	30	21	and	and	CCONJ
ejpam-390	30	22	t.	t.	PROPN
ejpam-390	30	23	nguyen	nguyen	PROPN
ejpam-390	30	24	/	/	SYM
ejpam-390	30	25	eur	eur	PROPN
ejpam-390	30	26	.	.	PUNCT
ejpam-390	31	1	j.	j.	PROPN
ejpam-390	31	2	pure	pure	PROPN
ejpam-390	31	3	appl	appl	PROPN
ejpam-390	31	4	.	.	PROPN
ejpam-390	31	5	math	math	PROPN
ejpam-390	31	6	,	,	PUNCT
ejpam-390	31	7	2	2	NUM
ejpam-390	31	8	(	(	PUNCT
ejpam-390	31	9	2009	2009	NUM
ejpam-390	31	10	)	)	PUNCT
ejpam-390	31	11	,	,	PUNCT
ejpam-390	31	12	(	(	PUNCT
ejpam-390	31	13	1	1	NUM
ejpam-390	31	14	-	-	SYM
ejpam-390	31	15	20	20	NUM
ejpam-390	31	16	)	)	PUNCT
ejpam-390	31	17	3	3	NUM
ejpam-390	32	1	where	where	SCONJ
ejpam-390	32	2	η	η	PROPN
ejpam-390	32	3	∈	∈	PROPN
ejpam-390	32	4	r	r	NOUN
ejpam-390	32	5	and	and	CCONJ
ejpam-390	32	6	θ	θ	PROPN
ejpam-390	32	7	>	>	X
ejpam-390	32	8	0	0	X
ejpam-390	32	9	.	.	PUNCT
ejpam-390	33	1	the	the	DET
ejpam-390	33	2	corresponding	corresponding	ADJ
ejpam-390	33	3	cumulative	cumulative	ADJ
ejpam-390	33	4	distribution	distribution	NOUN
ejpam-390	33	5	function(c.d.f	function(c.d.f	NOUN
ejpam-390	33	6	.	.	PUNCT
ejpam-390	33	7	)	)	PUNCT
ejpam-390	33	8	is	be	AUX
ejpam-390	33	9	given	give	VERB
ejpam-390	33	10	by	by	ADP
ejpam-390	33	11	fu(u	fu(u	NOUN
ejpam-390	33	12	)	)	PUNCT
ejpam-390	33	13	=	=	PUNCT
ejpam-390	34	1			PROPN
ejpam-390	34	2			ADP
ejpam-390	34	3			ADJ
ejpam-390	34	4	1	1	NUM
ejpam-390	34	5	2	2	NUM
ejpam-390	34	6	e(u−η)/θ	e(u−η)/θ	PROPN
ejpam-390	34	7	i	i	PRON
ejpam-390	34	8	f	f	VERB
ejpam-390	34	9	u	u	X
ejpam-390	34	10	<	<	X
ejpam-390	34	11	η	η	PROPN
ejpam-390	34	12	1−	1−	NUM
ejpam-390	34	13	1	1	NUM
ejpam-390	34	14	2	2	NUM
ejpam-390	34	15	e−(u−η)/θ	e−(u−η)/θ	NOUN
ejpam-390	35	1	i	i	PRON
ejpam-390	35	2	f	f	PROPN
ejpam-390	35	3	u≥	u≥	PROPN
ejpam-390	35	4	η	η	PROPN
ejpam-390	35	5	note	note	VERB
ejpam-390	35	6	that	that	SCONJ
ejpam-390	35	7	if	if	SCONJ
ejpam-390	35	8	u	u	PRON
ejpam-390	35	9	∼	∼	NOUN
ejpam-390	35	10	de(0,1	de(0,1	NOUN
ejpam-390	35	11	)	)	PUNCT
ejpam-390	35	12	,	,	PUNCT
ejpam-390	35	13	then	then	ADV
ejpam-390	35	14	v	v	X
ejpam-390	35	15	=	=	SYM
ejpam-390	35	16	θ(u	θ(u	PROPN
ejpam-390	35	17	)	)	PUNCT
ejpam-390	35	18	+	+	NOUN
ejpam-390	35	19	η	η	PROPN
ejpam-390	35	20	has	have	VERB
ejpam-390	35	21	a	a	DET
ejpam-390	35	22	double	double	ADJ
ejpam-390	35	23	exponential	exponential	NOUN
ejpam-390	35	24	(	(	PUNCT
ejpam-390	35	25	η	η	PROPN
ejpam-390	35	26	,	,	PUNCT
ejpam-390	35	27	θ	θ	NOUN
ejpam-390	35	28	)	)	PUNCT
ejpam-390	35	29	distribution	distribution	NOUN
ejpam-390	35	30	,	,	PUNCT
ejpam-390	35	31	i.e	i.e	PROPN
ejpam-390	35	32	v	v	ADJ
ejpam-390	35	33	∼	∼	NOUN
ejpam-390	35	34	de(η	de(η	NOUN
ejpam-390	35	35	,	,	PUNCT
ejpam-390	35	36	θ	θ	NOUN
ejpam-390	35	37	)	)	PUNCT
ejpam-390	35	38	.	.	PUNCT
ejpam-390	36	1	as	as	ADP
ejpam-390	36	2	a	a	DET
ejpam-390	36	3	special	special	ADJ
ejpam-390	36	4	case	case	NOUN
ejpam-390	36	5	,	,	PUNCT
ejpam-390	36	6	let	let	VERB
ejpam-390	36	7	u	u	PRON
ejpam-390	36	8	be	be	AUX
ejpam-390	36	9	a	a	DET
ejpam-390	36	10	standard	standard	ADJ
ejpam-390	36	11	double	double	ADJ
ejpam-390	36	12	exponential	exponential	NOUN
ejpam-390	36	13	(	(	PUNCT
ejpam-390	36	14	de	de	ADJ
ejpam-390	36	15	)	)	PUNCT
ejpam-390	36	16	random	random	ADJ
ejpam-390	36	17	variable	variable	NOUN
ejpam-390	36	18	,	,	PUNCT
ejpam-390	36	19	i.e	i.e	ADP
ejpam-390	36	20	u	u	NOUN
ejpam-390	36	21	∼	∼	NOUN
ejpam-390	36	22	de(0,1	de(0,1	NOUN
ejpam-390	36	23	)	)	PUNCT
ejpam-390	36	24	.	.	PUNCT
ejpam-390	37	1	then	then	ADV
ejpam-390	37	2	,	,	PUNCT
ejpam-390	37	3	|u	|u	ADJ
ejpam-390	37	4	|	|	ADV
ejpam-390	37	5	is	be	AUX
ejpam-390	37	6	distributed	distribute	VERB
ejpam-390	37	7	as	as	ADP
ejpam-390	37	8	|u	|u	ADJ
ejpam-390	37	9	|	|	ADV
ejpam-390	37	10	∼	∼	NOUN
ejpam-390	37	11	e	e	NOUN
ejpam-390	37	12	x	x	PUNCT
ejpam-390	37	13	p(1	p(1	PROPN
ejpam-390	37	14	)	)	PUNCT
ejpam-390	37	15	.	.	PUNCT
ejpam-390	38	1	there	there	PRON
ejpam-390	38	2	are	be	VERB
ejpam-390	38	3	two	two	NUM
ejpam-390	38	4	approaches	approach	NOUN
ejpam-390	38	5	taken	take	VERB
ejpam-390	38	6	in	in	ADP
ejpam-390	38	7	generating	generate	VERB
ejpam-390	38	8	the	the	DET
ejpam-390	38	9	sde	sde	PROPN
ejpam-390	38	10	random	random	ADJ
ejpam-390	38	11	variables	variable	NOUN
ejpam-390	38	12	.	.	PUNCT
ejpam-390	39	1	the	the	DET
ejpam-390	39	2	first	first	ADJ
ejpam-390	39	3	(	(	PUNCT
ejpam-390	39	4	sde1	sde1	NOUN
ejpam-390	39	5	)	)	PUNCT
ejpam-390	39	6	involves	involve	VERB
ejpam-390	39	7	the	the	DET
ejpam-390	39	8	scaled	scale	VERB
ejpam-390	39	9	mixture	mixture	NOUN
ejpam-390	39	10	of	of	ADP
ejpam-390	39	11	exponential	exponential	ADJ
ejpam-390	39	12	and	and	CCONJ
ejpam-390	39	13	double	double	ADJ
ejpam-390	39	14	exponential	exponential	ADJ
ejpam-390	39	15	random	random	ADJ
ejpam-390	39	16	variables	variable	NOUN
ejpam-390	39	17	.	.	PUNCT
ejpam-390	40	1	the	the	DET
ejpam-390	40	2	second	second	ADJ
ejpam-390	40	3	(	(	PUNCT
ejpam-390	40	4	sde2	sde2	PROPN
ejpam-390	40	5	)	)	PUNCT
ejpam-390	40	6	deals	deal	NOUN
ejpam-390	40	7	with	with	ADP
ejpam-390	40	8	the	the	DET
ejpam-390	40	9	product	product	NOUN
ejpam-390	40	10	of	of	ADP
ejpam-390	40	11	the	the	DET
ejpam-390	40	12	p.d.f	p.d.f	NOUN
ejpam-390	40	13	.	.	PUNCT
ejpam-390	41	1	and	and	CCONJ
ejpam-390	41	2	scaled	scale	VERB
ejpam-390	41	3	c.d.f	c.d.f	NOUN
ejpam-390	41	4	.	.	PUNCT
ejpam-390	42	1	of	of	ADP
ejpam-390	42	2	the	the	DET
ejpam-390	42	3	double	double	ADJ
ejpam-390	42	4	exponential	exponential	ADJ
ejpam-390	42	5	distribution(de(0,1	distribution(de(0,1	NOUN
ejpam-390	42	6	)	)	PUNCT
ejpam-390	42	7	)	)	PUNCT
ejpam-390	43	1	.	.	PUNCT
ejpam-390	44	1	the	the	DET
ejpam-390	44	2	following	follow	VERB
ejpam-390	44	3	sections	section	NOUN
ejpam-390	44	4	treat	treat	VERB
ejpam-390	44	5	each	each	PRON
ejpam-390	44	6	of	of	ADP
ejpam-390	44	7	the	the	DET
ejpam-390	44	8	two	two	NUM
ejpam-390	44	9	methods	method	NOUN
ejpam-390	44	10	in	in	ADP
ejpam-390	44	11	detail	detail	NOUN
ejpam-390	44	12	.	.	PUNCT
ejpam-390	45	1	3	3	X
ejpam-390	45	2	.	.	X
ejpam-390	45	3	the	the	DET
ejpam-390	45	4	sde1	sde1	NOUN
ejpam-390	45	5	distribution	distribution	NOUN
ejpam-390	45	6	:	:	PUNCT
ejpam-390	45	7	definition	definition	NOUN
ejpam-390	45	8	and	and	CCONJ
ejpam-390	45	9	stochastic	stochastic	ADJ
ejpam-390	45	10	representation	representation	NOUN
ejpam-390	45	11	in	in	ADP
ejpam-390	45	12	this	this	DET
ejpam-390	45	13	section	section	NOUN
ejpam-390	45	14	,	,	PUNCT
ejpam-390	45	15	we	we	PRON
ejpam-390	45	16	present	present	VERB
ejpam-390	45	17	the	the	DET
ejpam-390	45	18	distribution	distribution	NOUN
ejpam-390	45	19	function	function	NOUN
ejpam-390	45	20	of	of	ADP
ejpam-390	45	21	the	the	DET
ejpam-390	45	22	different	different	ADJ
ejpam-390	45	23	models	model	NOUN
ejpam-390	45	24	of	of	ADP
ejpam-390	45	25	the	the	DET
ejpam-390	45	26	skewed	skewed	ADJ
ejpam-390	45	27	double	double	ADJ
ejpam-390	45	28	exponential(sde1	exponential(sde1	NOUN
ejpam-390	45	29	)	)	PUNCT
ejpam-390	45	30	distribution	distribution	NOUN
ejpam-390	45	31	.	.	PUNCT
ejpam-390	46	1	theorem	theorem	NOUN
ejpam-390	46	2	3.1	3.1	NUM
ejpam-390	46	3	.	.	PUNCT
ejpam-390	47	1	consider	consider	VERB
ejpam-390	47	2	two	two	NUM
ejpam-390	47	3	i.i.d	i.i.d	ADV
ejpam-390	47	4	random	random	ADJ
ejpam-390	47	5	variables	variable	NOUN
ejpam-390	47	6	u	u	NOUN
ejpam-390	47	7	,	,	PUNCT
ejpam-390	47	8	v	v	PRON
ejpam-390	47	9	distributed	distribute	VERB
ejpam-390	47	10	as	as	ADP
ejpam-390	47	11	de(0,1	de(0,1	NOUN
ejpam-390	47	12	)	)	PUNCT
ejpam-390	47	13	.	.	PUNCT
ejpam-390	48	1	then	then	ADV
ejpam-390	48	2	,	,	PUNCT
ejpam-390	48	3	the	the	DET
ejpam-390	48	4	random	random	ADJ
ejpam-390	48	5	variable	variable	NOUN
ejpam-390	48	6	y	y	PROPN
ejpam-390	48	7	defined	define	VERB
ejpam-390	48	8	as	as	ADP
ejpam-390	48	9	a|u	a|u	NOUN
ejpam-390	48	10	|+	|+	X
ejpam-390	48	11	bv	bv	PROPN
ejpam-390	48	12	,	,	PUNCT
ejpam-390	48	13	for	for	ADP
ejpam-390	48	14	a	a	DET
ejpam-390	48	15	>	>	X
ejpam-390	48	16	0	0	NUM
ejpam-390	48	17	,	,	PUNCT
ejpam-390	48	18	b	b	X
ejpam-390	48	19	∈	∈	PROPN
ejpam-390	48	20	r+	r+	NOUN
ejpam-390	48	21	,	,	PUNCT
ejpam-390	48	22	a	a	DET
ejpam-390	48	23	6=	6=	NUM
ejpam-390	48	24	b	b	NOUN
ejpam-390	48	25	is	be	AUX
ejpam-390	48	26	defined	define	VERB
ejpam-390	48	27	to	to	PART
ejpam-390	48	28	be	be	AUX
ejpam-390	48	29	distributed	distribute	VERB
ejpam-390	48	30	as	as	ADP
ejpam-390	48	31	sde1(a	sde1(a	NOUN
ejpam-390	48	32	,	,	PUNCT
ejpam-390	48	33	b	b	NOUN
ejpam-390	48	34	)	)	PUNCT
ejpam-390	48	35	and	and	CCONJ
ejpam-390	48	36	has	have	VERB
ejpam-390	48	37	the	the	DET
ejpam-390	48	38	c.d.f	c.d.f	NOUN
ejpam-390	48	39	.	.	PUNCT
ejpam-390	49	1	fy	fy	PROPN
ejpam-390	49	2	(	(	PUNCT
ejpam-390	49	3	y	y	NOUN
ejpam-390	49	4	)	)	PUNCT
ejpam-390	49	5	=	=	PUNCT
ejpam-390	50	1			PROPN
ejpam-390	50	2			X
ejpam-390	50	3			PROPN
ejpam-390	50	4	b	b	PROPN
ejpam-390	50	5	2(a+b	2(a+b	NUM
ejpam-390	50	6	)	)	PUNCT
ejpam-390	50	7	e	e	PROPN
ejpam-390	50	8	y	y	PROPN
ejpam-390	50	9	/	/	SYM
ejpam-390	50	10	b	b	PROPN
ejpam-390	50	11	,	,	PUNCT
ejpam-390	50	12	i	i	PRON
ejpam-390	51	1	f	f	VERB
ejpam-390	51	2	y	y	NOUN
ejpam-390	51	3	<	<	X
ejpam-390	51	4	0	0	NUM
ejpam-390	51	5	1	1	NUM
ejpam-390	51	6	+	+	NUM
ejpam-390	51	7	a2	a2	PROPN
ejpam-390	51	8	b2−a2	b2−a2	PROPN
ejpam-390	51	9	e−y	e−y	PROPN
ejpam-390	51	10	/	/	SYM
ejpam-390	51	11	a	a	DET
ejpam-390	51	12	−	−	PROPN
ejpam-390	51	13	b	b	NOUN
ejpam-390	51	14	2(b−a	2(b−a	X
ejpam-390	51	15	)	)	PUNCT
ejpam-390	51	16	e−y	e−y	PROPN
ejpam-390	51	17	/	/	SYM
ejpam-390	51	18	b	b	PROPN
ejpam-390	51	19	,	,	PUNCT
ejpam-390	51	20	i	i	PRON
ejpam-390	51	21	f	f	VERB
ejpam-390	51	22	y	y	PROPN
ejpam-390	51	23	≥	≥	NUM
ejpam-390	51	24	0	0	NUM
ejpam-390	52	1	and	and	CCONJ
ejpam-390	52	2	it	it	PRON
ejpam-390	52	3	’s	’	VERB
ejpam-390	52	4	p.d.f	p.d.f	ADJ
ejpam-390	52	5	.	.	PUNCT
ejpam-390	52	6	is	be	AUX
ejpam-390	52	7	given	give	VERB
ejpam-390	52	8	by	by	ADP
ejpam-390	52	9	fy	fy	PROPN
ejpam-390	52	10	(	(	PUNCT
ejpam-390	52	11	y	y	NOUN
ejpam-390	52	12	)	)	PUNCT
ejpam-390	52	13	=	=	PUNCT
ejpam-390	53	1			PROPN
ejpam-390	53	2			X
ejpam-390	53	3			NOUN
ejpam-390	53	4	e	e	PROPN
ejpam-390	53	5	y	y	PROPN
ejpam-390	53	6	/	/	SYM
ejpam-390	53	7	b	b	PROPN
ejpam-390	53	8	2(a+b	2(a+b	NUM
ejpam-390	53	9	)	)	PUNCT
ejpam-390	53	10	,	,	PUNCT
ejpam-390	54	1	i	i	PRON
ejpam-390	54	2	f	f	VERB
ejpam-390	54	3	y	y	PROPN
ejpam-390	54	4	<	<	X
ejpam-390	54	5	0	0	NUM
ejpam-390	54	6	e−y	e−y	PROPN
ejpam-390	54	7	/	/	SYM
ejpam-390	54	8	b	b	NOUN
ejpam-390	54	9	2(b−a	2(b−a	NUM
ejpam-390	54	10	)	)	PUNCT
ejpam-390	54	11	−	−	PROPN
ejpam-390	54	12	a	a	DET
ejpam-390	54	13	(	(	PUNCT
ejpam-390	54	14	b2−a2	b2−a2	NOUN
ejpam-390	54	15	)	)	PUNCT
ejpam-390	54	16	e−y	e−y	PROPN
ejpam-390	54	17	/	/	SYM
ejpam-390	54	18	a	a	NOUN
ejpam-390	54	19	,	,	PUNCT
ejpam-390	54	20	i	i	PRON
ejpam-390	54	21	f	f	VERB
ejpam-390	54	22	y	y	PROPN
ejpam-390	54	23	≥	≥	NUM
ejpam-390	54	24	0	0	NUM
ejpam-390	54	25	.	.	PUNCT
ejpam-390	55	1	if	if	SCONJ
ejpam-390	55	2	a	a	DET
ejpam-390	55	3	=	=	SYM
ejpam-390	55	4	b	b	NOUN
ejpam-390	55	5	,	,	PUNCT
ejpam-390	55	6	then	then	ADV
ejpam-390	55	7	the	the	DET
ejpam-390	55	8	c.d.f	c.d.f	NOUN
ejpam-390	55	9	.	.	PUNCT
ejpam-390	55	10	is	be	AUX
ejpam-390	55	11	fy	fy	PROPN
ejpam-390	55	12	(	(	PUNCT
ejpam-390	55	13	y	y	NOUN
ejpam-390	55	14	)	)	PUNCT
ejpam-390	55	15	=	=	PUNCT
ejpam-390	56	1			PROPN
ejpam-390	56	2			ADP
ejpam-390	56	3			ADJ
ejpam-390	56	4	1	1	NUM
ejpam-390	56	5	4	4	NUM
ejpam-390	56	6	e	e	NOUN
ejpam-390	56	7	y	y	PROPN
ejpam-390	56	8	/	/	SYM
ejpam-390	56	9	a	a	NOUN
ejpam-390	56	10	,	,	PUNCT
ejpam-390	56	11	i	i	PRON
ejpam-390	56	12	f	f	VERB
ejpam-390	56	13	y	y	PROPN
ejpam-390	56	14	<	<	X
ejpam-390	56	15	0	0	PROPN
ejpam-390	56	16	1−	1−	NUM
ejpam-390	56	17	�	�	PROPN
ejpam-390	56	18	3a+2y	3a+2y	NUM
ejpam-390	56	19	4a	4a	NOUN
ejpam-390	56	20	e−y	e−y	PROPN
ejpam-390	56	21	/	/	SYM
ejpam-390	56	22	a	a	DET
ejpam-390	56	23	�	�	PROPN
ejpam-390	56	24	,	,	PUNCT
ejpam-390	56	25	i	i	PRON
ejpam-390	56	26	f	f	VERB
ejpam-390	56	27	y	y	PROPN
ejpam-390	56	28	≥	≥	PROPN
ejpam-390	56	29	0	0	NUM
ejpam-390	57	1	k.	k.	PROPN
ejpam-390	57	2	jagannathan	jagannathan	PROPN
ejpam-390	57	3	,	,	PUNCT
ejpam-390	57	4	a.	a.	PROPN
ejpam-390	57	5	gupta	gupta	PROPN
ejpam-390	57	6	,	,	PUNCT
ejpam-390	57	7	and	and	CCONJ
ejpam-390	57	8	t.	t.	PROPN
ejpam-390	57	9	nguyen	nguyen	PROPN
ejpam-390	57	10	/	/	SYM
ejpam-390	57	11	eur	eur	PROPN
ejpam-390	57	12	.	.	PUNCT
ejpam-390	58	1	j.	j.	PROPN
ejpam-390	58	2	pure	pure	PROPN
ejpam-390	58	3	appl	appl	PROPN
ejpam-390	58	4	.	.	PROPN
ejpam-390	58	5	math	math	PROPN
ejpam-390	58	6	,	,	PUNCT
ejpam-390	58	7	2	2	NUM
ejpam-390	58	8	(	(	PUNCT
ejpam-390	58	9	2009	2009	NUM
ejpam-390	58	10	)	)	PUNCT
ejpam-390	58	11	,	,	PUNCT
ejpam-390	58	12	(	(	PUNCT
ejpam-390	58	13	1	1	NUM
ejpam-390	58	14	-	-	SYM
ejpam-390	58	15	20	20	NUM
ejpam-390	58	16	)	)	PUNCT
ejpam-390	58	17	4	4	NUM
ejpam-390	59	1	and	and	CCONJ
ejpam-390	59	2	it	it	PRON
ejpam-390	59	3	’s	’	VERB
ejpam-390	59	4	p.d.f	p.d.f	ADJ
ejpam-390	59	5	.	.	PUNCT
ejpam-390	59	6	is	be	AUX
ejpam-390	59	7	given	give	VERB
ejpam-390	59	8	by	by	ADP
ejpam-390	59	9	fy	fy	PROPN
ejpam-390	59	10	(	(	PUNCT
ejpam-390	59	11	y	y	NOUN
ejpam-390	59	12	)	)	PUNCT
ejpam-390	59	13	=	=	PUNCT
ejpam-390	60	1			PROPN
ejpam-390	60	2			X
ejpam-390	60	3			NOUN
ejpam-390	60	4	e	e	PROPN
ejpam-390	60	5	y	y	PROPN
ejpam-390	60	6	/	/	SYM
ejpam-390	60	7	a	a	DET
ejpam-390	60	8	4a	4a	NOUN
ejpam-390	60	9	,	,	PUNCT
ejpam-390	60	10	i	i	PRON
ejpam-390	60	11	f	f	VERB
ejpam-390	60	12	y	y	PROPN
ejpam-390	60	13	<	<	X
ejpam-390	60	14	0	0	NUM
ejpam-390	60	15	�	�	PROPN
ejpam-390	60	16	a+2y	a+2y	PROPN
ejpam-390	60	17	4a2	4a2	NUM
ejpam-390	60	18	�	�	PROPN
ejpam-390	60	19	e−y	e−y	PROPN
ejpam-390	60	20	/	/	SYM
ejpam-390	60	21	a	a	NOUN
ejpam-390	60	22	,	,	PUNCT
ejpam-390	60	23	i	i	PRON
ejpam-390	60	24	f	f	VERB
ejpam-390	60	25	y	y	PROPN
ejpam-390	60	26	≥	≥	PROPN
ejpam-390	60	27	0	0	NUM
ejpam-390	60	28	.	.	PUNCT
ejpam-390	61	1	proof	proof	NOUN
ejpam-390	61	2	.	.	PUNCT
ejpam-390	62	1	we	we	PRON
ejpam-390	62	2	give	give	VERB
ejpam-390	62	3	a	a	DET
ejpam-390	62	4	proof	proof	NOUN
ejpam-390	62	5	that	that	PRON
ejpam-390	62	6	is	be	AUX
ejpam-390	62	7	similar	similar	ADJ
ejpam-390	62	8	to	to	ADP
ejpam-390	62	9	the	the	DET
ejpam-390	62	10	one	one	NOUN
ejpam-390	62	11	given	give	VERB
ejpam-390	62	12	by	by	ADP
ejpam-390	62	13	henze(1986	henze(1986	PRON
ejpam-390	62	14	)	)	PUNCT
ejpam-390	62	15	.	.	PUNCT
ejpam-390	63	1	consider	consider	VERB
ejpam-390	63	2	p[y	p[y	ADJ
ejpam-390	63	3	≤	≤	ADJ
ejpam-390	64	1	y	y	NOUN
ejpam-390	64	2	]	]	X
ejpam-390	64	3	=	=	PUNCT
ejpam-390	65	1	∫	∫	PROPN
ejpam-390	65	2	∞	∞	PROPN
ejpam-390	65	3	0	0	PROPN
ejpam-390	65	4	p[v	p[v	NOUN
ejpam-390	65	5	≤	≤	PUNCT
ejpam-390	65	6	y	y	PROPN
ejpam-390	65	7	−	−	PROPN
ejpam-390	65	8	au	au	PROPN
ejpam-390	65	9	b	b	PROPN
ejpam-390	65	10	]	]	PUNCT
ejpam-390	65	11	·	·	PUNCT
ejpam-390	65	12	f|u	f|u	X
ejpam-390	65	13	|(u	|(u	NUM
ejpam-390	65	14	)	)	PUNCT
ejpam-390	65	15	du	du	PROPN
ejpam-390	65	16	=	=	SYM
ejpam-390	65	17	∫	∫	PROPN
ejpam-390	65	18	∞	∞	PROPN
ejpam-390	65	19	0	0	NUM
ejpam-390	65	20	�	�	PROPN
ejpam-390	65	21	∫	∫	PROPN
ejpam-390	65	22	y−au	y−au	PROPN
ejpam-390	65	23	b	b	PROPN
ejpam-390	65	24	−∞	−∞	ADP
ejpam-390	65	25	1	1	NUM
ejpam-390	65	26	2	2	NUM
ejpam-390	65	27	e−|v|	e−|v|	ADV
ejpam-390	65	28	dv	dv	PROPN
ejpam-390	65	29	�	�	PROPN
ejpam-390	65	30	e−u	e−u	PROPN
ejpam-390	65	31	du	du	PROPN
ejpam-390	65	32	.	.	PUNCT
ejpam-390	65	33	(	(	PUNCT
ejpam-390	65	34	3.1	3.1	NUM
ejpam-390	65	35	)	)	PUNCT
ejpam-390	65	36	if	if	SCONJ
ejpam-390	65	37	y	y	PROPN
ejpam-390	65	38	<	<	X
ejpam-390	65	39	0	0	PROPN
ejpam-390	65	40	,	,	PUNCT
ejpam-390	65	41	then	then	ADV
ejpam-390	65	42	,	,	PUNCT
ejpam-390	65	43	since	since	SCONJ
ejpam-390	65	44	a	a	DET
ejpam-390	65	45	>	>	X
ejpam-390	65	46	0	0	NUM
ejpam-390	65	47	and	and	CCONJ
ejpam-390	65	48	the	the	DET
ejpam-390	65	49	support	support	NOUN
ejpam-390	65	50	of	of	ADP
ejpam-390	65	51	|u	|u	ADJ
ejpam-390	65	52	|	|	NOUN
ejpam-390	65	53	is	be	AUX
ejpam-390	65	54	(	(	PUNCT
ejpam-390	65	55	0,∞	0,∞	NUM
ejpam-390	65	56	)	)	PUNCT
ejpam-390	65	57	,	,	PUNCT
ejpam-390	65	58	y	y	PROPN
ejpam-390	66	1	−	−	PROPN
ejpam-390	66	2	au	au	PROPN
ejpam-390	66	3	b	b	X
ejpam-390	66	4	<	<	X
ejpam-390	66	5	0	0	NUM
ejpam-390	66	6	,	,	PUNCT
ejpam-390	66	7	∀u	∀u	NOUN
ejpam-390	66	8	.	.	PUNCT
ejpam-390	67	1	hence	hence	ADV
ejpam-390	67	2	,	,	PUNCT
ejpam-390	67	3	(	(	PUNCT
ejpam-390	67	4	1	1	X
ejpam-390	67	5	)	)	PUNCT
ejpam-390	67	6	becomes	become	VERB
ejpam-390	67	7	p[y	p[y	VERB
ejpam-390	67	8	≤	≤	NUM
ejpam-390	68	1	y	y	NOUN
ejpam-390	68	2	]	]	X
ejpam-390	68	3	=	=	PUNCT
ejpam-390	69	1	∫	∫	PROPN
ejpam-390	69	2	∞	∞	PROPN
ejpam-390	69	3	0	0	NUM
ejpam-390	69	4	�	�	PROPN
ejpam-390	69	5	∫	∫	PROPN
ejpam-390	69	6	y−au	y−au	PROPN
ejpam-390	69	7	b	b	PROPN
ejpam-390	69	8	−∞	−∞	ADP
ejpam-390	69	9	1	1	NUM
ejpam-390	69	10	2	2	NUM
ejpam-390	69	11	ev	ev	ADP
ejpam-390	69	12	dv	dv	PROPN
ejpam-390	69	13	�	�	PROPN
ejpam-390	69	14	e−u	e−u	PROPN
ejpam-390	69	15	du	du	PROPN
ejpam-390	70	1	=	=	SYM
ejpam-390	70	2	b	b	PROPN
ejpam-390	70	3	2(a+	2(a+	NUM
ejpam-390	70	4	b	b	NOUN
ejpam-390	70	5	)	)	PUNCT
ejpam-390	70	6	e	e	NOUN
ejpam-390	70	7	y	y	PROPN
ejpam-390	70	8	/	/	SYM
ejpam-390	70	9	b	b	PROPN
ejpam-390	70	10	,	,	PUNCT
ejpam-390	70	11	y	y	PROPN
ejpam-390	70	12	<	<	X
ejpam-390	70	13	0	0	X
ejpam-390	70	14	.	.	PUNCT
ejpam-390	71	1	on	on	ADP
ejpam-390	71	2	the	the	DET
ejpam-390	71	3	other	other	ADJ
ejpam-390	71	4	hand	hand	NOUN
ejpam-390	71	5	,	,	PUNCT
ejpam-390	71	6	if	if	SCONJ
ejpam-390	71	7	y	y	PROPN
ejpam-390	71	8	≥	≥	NOUN
ejpam-390	71	9	0	0	NUM
ejpam-390	71	10	,	,	PUNCT
ejpam-390	71	11	then	then	ADV
ejpam-390	71	12	either	either	CCONJ
ejpam-390	71	13	y	y	PROPN
ejpam-390	71	14	−	−	PROPN
ejpam-390	71	15	au	au	PROPN
ejpam-390	71	16	b	b	X
ejpam-390	71	17	<	<	X
ejpam-390	71	18	0	0	NUM
ejpam-390	71	19	for	for	ADP
ejpam-390	71	20	u	u	PROPN
ejpam-390	71	21	>	>	X
ejpam-390	71	22	y	y	PROPN
ejpam-390	71	23	/	/	SYM
ejpam-390	71	24	a	a	PROPN
ejpam-390	71	25	or	or	CCONJ
ejpam-390	71	26	y	y	NOUN
ejpam-390	71	27	−	−	PROPN
ejpam-390	71	28	au	au	PROPN
ejpam-390	71	29	b	b	PROPN
ejpam-390	71	30	>	>	X
ejpam-390	71	31	0	0	PUNCT
ejpam-390	71	32	for	for	ADP
ejpam-390	71	33	u	u	NOUN
ejpam-390	71	34	<	<	X
ejpam-390	71	35	y	y	PROPN
ejpam-390	71	36	/	/	SYM
ejpam-390	71	37	a.	a.	NOUN
ejpam-390	72	1	so	so	ADV
ejpam-390	72	2	,	,	PUNCT
ejpam-390	72	3	(	(	PUNCT
ejpam-390	72	4	1	1	X
ejpam-390	72	5	)	)	PUNCT
ejpam-390	72	6	is	be	AUX
ejpam-390	72	7	equivalent	equivalent	ADJ
ejpam-390	72	8	to	to	AUX
ejpam-390	72	9	p[y	p[y	VERB
ejpam-390	72	10	≤	≤	NOUN
ejpam-390	73	1	y	y	NOUN
ejpam-390	73	2	]	]	X
ejpam-390	73	3	=	=	PUNCT
ejpam-390	74	1	∫	∫	PROPN
ejpam-390	74	2	y	y	PROPN
ejpam-390	74	3	a	a	DET
ejpam-390	74	4	0	0	NUM
ejpam-390	74	5	�	�	NOUN
ejpam-390	74	6	1	1	NUM
ejpam-390	74	7	2	2	NUM
ejpam-390	74	8	+	+	NUM
ejpam-390	74	9	∫	∫	PROPN
ejpam-390	74	10	y−au	y−au	PROPN
ejpam-390	74	11	b	b	PROPN
ejpam-390	74	12	0	0	NUM
ejpam-390	74	13	1	1	NUM
ejpam-390	74	14	2	2	NUM
ejpam-390	74	15	e−v	e−v	PROPN
ejpam-390	74	16	dv	dv	PROPN
ejpam-390	74	17	�	�	PROPN
ejpam-390	74	18	e−u	e−u	PROPN
ejpam-390	74	19	du	du	PROPN
ejpam-390	74	20	︸	︸	X
ejpam-390	74	21	︷︷	︷︷	PROPN
ejpam-390	74	22	︸	︸	X
ejpam-390	74	23	(	(	PUNCT
ejpam-390	74	24	i	i	NOUN
ejpam-390	74	25	)	)	PUNCT
ejpam-390	75	1	+	+	CCONJ
ejpam-390	75	2	∫	∫	PROPN
ejpam-390	76	1	∞	∞	PROPN
ejpam-390	76	2	y	y	PROPN
ejpam-390	76	3	a	a	DET
ejpam-390	76	4	�	�	PROPN
ejpam-390	76	5	∫	∫	PROPN
ejpam-390	76	6	y−au	y−au	PROPN
ejpam-390	76	7	b	b	PROPN
ejpam-390	76	8	−∞	−∞	ADP
ejpam-390	76	9	1	1	NUM
ejpam-390	76	10	2	2	NUM
ejpam-390	76	11	ev	ev	ADP
ejpam-390	76	12	dv	dv	PROPN
ejpam-390	76	13	�	�	PROPN
ejpam-390	76	14	e−u	e−u	PROPN
ejpam-390	76	15	du	du	PROPN
ejpam-390	76	16	︸	︸	X
ejpam-390	76	17	︷︷	︷︷	PROPN
ejpam-390	76	18	︸	︸	X
ejpam-390	76	19	(	(	PUNCT
ejpam-390	76	20	ii	ii	NOUN
ejpam-390	76	21	)	)	PUNCT
ejpam-390	76	22	.	.	PUNCT
ejpam-390	77	1	(	(	PUNCT
ejpam-390	77	2	3.2	3.2	NUM
ejpam-390	77	3	)	)	PUNCT
ejpam-390	77	4	k.	k.	PROPN
ejpam-390	77	5	jagannathan	jagannathan	PROPN
ejpam-390	77	6	,	,	PUNCT
ejpam-390	77	7	a.	a.	PROPN
ejpam-390	77	8	gupta	gupta	PROPN
ejpam-390	77	9	,	,	PUNCT
ejpam-390	77	10	and	and	CCONJ
ejpam-390	77	11	t.	t.	PROPN
ejpam-390	77	12	nguyen	nguyen	PROPN
ejpam-390	77	13	/	/	SYM
ejpam-390	77	14	eur	eur	PROPN
ejpam-390	77	15	.	.	PUNCT
ejpam-390	78	1	j.	j.	PROPN
ejpam-390	78	2	pure	pure	PROPN
ejpam-390	78	3	appl	appl	PROPN
ejpam-390	78	4	.	.	PROPN
ejpam-390	78	5	math	math	PROPN
ejpam-390	78	6	,	,	PUNCT
ejpam-390	78	7	2	2	NUM
ejpam-390	78	8	(	(	PUNCT
ejpam-390	78	9	2009	2009	NUM
ejpam-390	78	10	)	)	PUNCT
ejpam-390	78	11	,	,	PUNCT
ejpam-390	78	12	(	(	PUNCT
ejpam-390	78	13	1	1	NUM
ejpam-390	78	14	-	-	SYM
ejpam-390	78	15	20	20	NUM
ejpam-390	78	16	)	)	PUNCT
ejpam-390	78	17	5	5	NUM
ejpam-390	78	18	consider	consider	VERB
ejpam-390	78	19	:	:	PUNCT
ejpam-390	78	20	(	(	PUNCT
ejpam-390	78	21	i	i	NOUN
ejpam-390	78	22	)	)	PUNCT
ejpam-390	78	23	=	=	PUNCT
ejpam-390	79	1	∫	∫	PROPN
ejpam-390	79	2	y	y	PROPN
ejpam-390	79	3	a	a	DET
ejpam-390	79	4	0	0	NUM
ejpam-390	79	5	1	1	NUM
ejpam-390	79	6	2	2	NUM
ejpam-390	79	7	e−u	e−u	NUM
ejpam-390	79	8	du+	du+	NOUN
ejpam-390	79	9	∫	∫	PROPN
ejpam-390	80	1	y	y	PROPN
ejpam-390	81	1	a	a	PRON
ejpam-390	81	2	0	0	NUM
ejpam-390	81	3	∫	∫	PROPN
ejpam-390	81	4	y−au	y−au	PROPN
ejpam-390	81	5	b	b	PROPN
ejpam-390	81	6	0	0	NUM
ejpam-390	81	7	1	1	NUM
ejpam-390	81	8	2	2	NUM
ejpam-390	81	9	e−v	e−v	PROPN
ejpam-390	81	10	dv	dv	PROPN
ejpam-390	81	11	e−u	e−u	PROPN
ejpam-390	81	12	du	du	PROPN
ejpam-390	82	1	=	=	SYM
ejpam-390	82	2	1	1	NUM
ejpam-390	82	3	2	2	NUM
ejpam-390	82	4	�	�	PROPN
ejpam-390	82	5	1−	1−	NUM
ejpam-390	82	6	e−y	e−y	PROPN
ejpam-390	82	7	/	/	SYM
ejpam-390	82	8	a	a	DET
ejpam-390	82	9	�	�	PROPN
ejpam-390	82	10	+	+	CCONJ
ejpam-390	82	11	∫	∫	PROPN
ejpam-390	82	12	y	y	PROPN
ejpam-390	82	13	a	a	DET
ejpam-390	82	14	0	0	NUM
ejpam-390	82	15	1	1	NUM
ejpam-390	82	16	2	2	NUM
ejpam-390	82	17	�	�	PROPN
ejpam-390	82	18	1−	1−	NUM
ejpam-390	82	19	e−	e−	PROPN
ejpam-390	82	20	y−au	y−au	PROPN
ejpam-390	82	21	b	b	PROPN
ejpam-390	82	22	�	�	PROPN
ejpam-390	82	23	e−u	e−u	PROPN
ejpam-390	82	24	du	du	PROPN
ejpam-390	82	25	=	=	SYM
ejpam-390	82	26	1−	1−	NUM
ejpam-390	82	27	e−y	e−y	PROPN
ejpam-390	82	28	/	/	SYM
ejpam-390	82	29	a	a	PRON
ejpam-390	82	30	−	−	PROPN
ejpam-390	82	31	b	b	PROPN
ejpam-390	82	32	2(b−	2(b−	PROPN
ejpam-390	82	33	a	a	PRON
ejpam-390	82	34	)	)	PUNCT
ejpam-390	82	35	e−y	e−y	PROPN
ejpam-390	82	36	/	/	SYM
ejpam-390	82	37	b	b	NOUN
ejpam-390	82	38	+	+	NUM
ejpam-390	82	39	b	b	PROPN
ejpam-390	82	40	2(b−	2(b−	PROPN
ejpam-390	82	41	a	a	DET
ejpam-390	82	42	)	)	PUNCT
ejpam-390	82	43	e−y	e−y	PROPN
ejpam-390	82	44	/	/	SYM
ejpam-390	82	45	a.	a.	NOUN
ejpam-390	82	46	(	(	PUNCT
ejpam-390	82	47	3.3	3.3	NUM
ejpam-390	82	48	)	)	PUNCT
ejpam-390	82	49	also	also	ADV
ejpam-390	82	50	,	,	PUNCT
ejpam-390	82	51	(	(	PUNCT
ejpam-390	82	52	ii	ii	NOUN
ejpam-390	82	53	)	)	PUNCT
ejpam-390	82	54	=	=	SYM
ejpam-390	83	1	∫	∫	PROPN
ejpam-390	84	1	∞	∞	PROPN
ejpam-390	84	2	y	y	PROPN
ejpam-390	84	3	a	a	DET
ejpam-390	84	4	�	�	PROPN
ejpam-390	84	5	∫	∫	PROPN
ejpam-390	84	6	y−au	y−au	PROPN
ejpam-390	84	7	b	b	PROPN
ejpam-390	84	8	−∞	−∞	ADP
ejpam-390	84	9	1	1	NUM
ejpam-390	84	10	2	2	NUM
ejpam-390	84	11	ev	ev	ADP
ejpam-390	84	12	dv	dv	PROPN
ejpam-390	84	13	�	�	PROPN
ejpam-390	84	14	e−u	e−u	PROPN
ejpam-390	84	15	du	du	PROPN
ejpam-390	84	16	=	=	SYM
ejpam-390	84	17	b	b	PROPN
ejpam-390	84	18	2(a+	2(a+	NUM
ejpam-390	84	19	b	b	NOUN
ejpam-390	84	20	)	)	PUNCT
ejpam-390	84	21	e−y	e−y	PROPN
ejpam-390	84	22	/	/	SYM
ejpam-390	84	23	a.	a.	NOUN
ejpam-390	84	24	(	(	PUNCT
ejpam-390	84	25	3.4	3.4	NUM
ejpam-390	84	26	)	)	PUNCT
ejpam-390	84	27	adding	add	VERB
ejpam-390	84	28	the	the	DET
ejpam-390	84	29	right	right	ADJ
ejpam-390	84	30	hand	hand	NOUN
ejpam-390	84	31	sides	side	NOUN
ejpam-390	84	32	of	of	ADP
ejpam-390	84	33	(	(	PUNCT
ejpam-390	84	34	3	3	NUM
ejpam-390	84	35	)	)	PUNCT
ejpam-390	84	36	and	and	CCONJ
ejpam-390	84	37	(	(	PUNCT
ejpam-390	84	38	4	4	NUM
ejpam-390	84	39	)	)	PUNCT
ejpam-390	84	40	,	,	PUNCT
ejpam-390	84	41	as	as	SCONJ
ejpam-390	84	42	required	require	VERB
ejpam-390	84	43	by	by	ADP
ejpam-390	84	44	(	(	PUNCT
ejpam-390	84	45	2	2	NUM
ejpam-390	84	46	)	)	PUNCT
ejpam-390	84	47	,	,	PUNCT
ejpam-390	84	48	we	we	PRON
ejpam-390	84	49	get	get	VERB
ejpam-390	84	50	via	via	ADP
ejpam-390	84	51	some	some	DET
ejpam-390	84	52	elementary	elementary	ADJ
ejpam-390	84	53	algebra	algebra	NOUN
ejpam-390	84	54	that	that	PRON
ejpam-390	84	55	the	the	DET
ejpam-390	84	56	c.d.f	c.d.f	NOUN
ejpam-390	84	57	.	.	PUNCT
ejpam-390	85	1	of	of	ADP
ejpam-390	85	2	the	the	DET
ejpam-390	85	3	sde1(a	sde1(a	PROPN
ejpam-390	85	4	,	,	PUNCT
ejpam-390	85	5	b	b	NOUN
ejpam-390	85	6	)	)	PUNCT
ejpam-390	85	7	is	be	AUX
ejpam-390	85	8	as	as	SCONJ
ejpam-390	85	9	follows	follow	VERB
ejpam-390	85	10	:	:	PUNCT
ejpam-390	85	11	fy	fy	PROPN
ejpam-390	85	12	(	(	PUNCT
ejpam-390	85	13	y	y	NOUN
ejpam-390	85	14	)	)	PUNCT
ejpam-390	85	15	=	=	PUNCT
ejpam-390	86	1			PROPN
ejpam-390	86	2			X
ejpam-390	86	3			PROPN
ejpam-390	86	4	b	b	PROPN
ejpam-390	86	5	2(a+b	2(a+b	NUM
ejpam-390	86	6	)	)	PUNCT
ejpam-390	86	7	e	e	PROPN
ejpam-390	86	8	y	y	PROPN
ejpam-390	86	9	/	/	SYM
ejpam-390	86	10	b	b	PROPN
ejpam-390	86	11	,	,	PUNCT
ejpam-390	86	12	i	i	PRON
ejpam-390	87	1	f	f	VERB
ejpam-390	87	2	y	y	NOUN
ejpam-390	87	3	<	<	X
ejpam-390	87	4	0	0	NUM
ejpam-390	87	5	1	1	NUM
ejpam-390	87	6	+	+	NUM
ejpam-390	87	7	a2	a2	PROPN
ejpam-390	87	8	(	(	PUNCT
ejpam-390	87	9	b2−a2	b2−a2	NOUN
ejpam-390	87	10	)	)	PUNCT
ejpam-390	87	11	e−y	e−y	PROPN
ejpam-390	87	12	/	/	SYM
ejpam-390	87	13	a	a	DET
ejpam-390	87	14	−	−	PROPN
ejpam-390	87	15	b	b	NOUN
ejpam-390	87	16	2(b−a	2(b−a	X
ejpam-390	87	17	)	)	PUNCT
ejpam-390	87	18	e−y	e−y	PROPN
ejpam-390	87	19	/	/	SYM
ejpam-390	87	20	b	b	PROPN
ejpam-390	87	21	,	,	PUNCT
ejpam-390	87	22	i	i	PRON
ejpam-390	87	23	f	f	PROPN
ejpam-390	87	24	y	y	PROPN
ejpam-390	87	25	≥	≥	PROPN
ejpam-390	87	26	0	0	NUM
ejpam-390	87	27	.	.	PUNCT
ejpam-390	88	1	(	(	PUNCT
ejpam-390	88	2	3.5	3.5	NUM
ejpam-390	88	3	)	)	PUNCT
ejpam-390	88	4	differentiating	differentiate	VERB
ejpam-390	88	5	(	(	PUNCT
ejpam-390	88	6	3.5	3.5	NUM
ejpam-390	88	7	)	)	PUNCT
ejpam-390	88	8	with	with	ADP
ejpam-390	88	9	respect	respect	NOUN
ejpam-390	88	10	to	to	ADP
ejpam-390	88	11	y	y	PROPN
ejpam-390	88	12	,	,	PUNCT
ejpam-390	88	13	we	we	PRON
ejpam-390	88	14	get	get	VERB
ejpam-390	88	15	the	the	DET
ejpam-390	88	16	p.d.f	p.d.f	NOUN
ejpam-390	88	17	.	.	PUNCT
ejpam-390	89	1	of	of	ADP
ejpam-390	89	2	an	an	DET
ejpam-390	89	3	sde1(a	sde1(a	NOUN
ejpam-390	89	4	,	,	PUNCT
ejpam-390	89	5	b	b	NOUN
ejpam-390	89	6	)	)	PUNCT
ejpam-390	89	7	random	random	ADJ
ejpam-390	89	8	variable	variable	NOUN
ejpam-390	89	9	to	to	PART
ejpam-390	89	10	be	be	AUX
ejpam-390	89	11	fy	fy	PROPN
ejpam-390	89	12	(	(	PUNCT
ejpam-390	89	13	y	y	NOUN
ejpam-390	89	14	)	)	PUNCT
ejpam-390	89	15	=	=	PUNCT
ejpam-390	89	16			PROPN
ejpam-390	89	17			X
ejpam-390	89	18			NOUN
ejpam-390	89	19	e	e	PROPN
ejpam-390	89	20	y	y	PROPN
ejpam-390	89	21	/	/	SYM
ejpam-390	89	22	b	b	PROPN
ejpam-390	89	23	2(a+b	2(a+b	NUM
ejpam-390	89	24	)	)	PUNCT
ejpam-390	90	1	,	,	PUNCT
ejpam-390	90	2	i	i	PRON
ejpam-390	90	3	f	f	VERB
ejpam-390	90	4	y	y	PROPN
ejpam-390	90	5	<	<	X
ejpam-390	90	6	0	0	NUM
ejpam-390	90	7	e−y	e−y	PROPN
ejpam-390	90	8	/	/	SYM
ejpam-390	90	9	b	b	NOUN
ejpam-390	90	10	2(b−a	2(b−a	NUM
ejpam-390	90	11	)	)	PUNCT
ejpam-390	90	12	−	−	PROPN
ejpam-390	90	13	a	a	DET
ejpam-390	90	14	(	(	PUNCT
ejpam-390	90	15	b2−a2	b2−a2	NOUN
ejpam-390	90	16	)	)	PUNCT
ejpam-390	90	17	e−y	e−y	PROPN
ejpam-390	90	18	/	/	SYM
ejpam-390	90	19	a	a	NOUN
ejpam-390	90	20	,	,	PUNCT
ejpam-390	90	21	i	i	PRON
ejpam-390	90	22	f	f	VERB
ejpam-390	90	23	y	y	PROPN
ejpam-390	90	24	≥	≥	PROPN
ejpam-390	90	25	0	0	NUM
ejpam-390	90	26	.	.	PUNCT
ejpam-390	91	1	a	a	DET
ejpam-390	91	2	similar	similar	ADJ
ejpam-390	91	3	approach	approach	NOUN
ejpam-390	91	4	can	can	AUX
ejpam-390	91	5	be	be	AUX
ejpam-390	91	6	taken	take	VERB
ejpam-390	91	7	in	in	ADP
ejpam-390	91	8	the	the	DET
ejpam-390	91	9	case	case	NOUN
ejpam-390	91	10	when	when	SCONJ
ejpam-390	91	11	a	a	DET
ejpam-390	91	12	=	=	SYM
ejpam-390	91	13	b	b	NOUN
ejpam-390	91	14	to	to	PART
ejpam-390	91	15	find	find	VERB
ejpam-390	91	16	the	the	DET
ejpam-390	91	17	c.d.f	c.d.f	NOUN
ejpam-390	91	18	.	.	PUNCT
ejpam-390	92	1	and	and	CCONJ
ejpam-390	92	2	p.d.f	p.d.f	ADJ
ejpam-390	92	3	.	.	PUNCT
ejpam-390	93	1	of	of	ADP
ejpam-390	93	2	the	the	DET
ejpam-390	93	3	sde1(a	sde1(a	PROPN
ejpam-390	93	4	,	,	PUNCT
ejpam-390	93	5	b	b	NOUN
ejpam-390	93	6	)	)	PUNCT
ejpam-390	93	7	random	random	ADJ
ejpam-390	93	8	variable	variable	NOUN
ejpam-390	93	9	.	.	PUNCT
ejpam-390	94	1	note	note	VERB
ejpam-390	94	2	.	.	PUNCT
ejpam-390	95	1	in	in	ADP
ejpam-390	95	2	the	the	DET
ejpam-390	95	3	above	above	ADJ
ejpam-390	95	4	theorem	theorem	VERB
ejpam-390	95	5	the	the	DET
ejpam-390	95	6	value	value	NOUN
ejpam-390	95	7	of	of	ADP
ejpam-390	95	8	"	"	PUNCT
ejpam-390	95	9	b	b	NOUN
ejpam-390	95	10	"	"	PUNCT
ejpam-390	95	11	is	be	AUX
ejpam-390	95	12	restricted	restrict	VERB
ejpam-390	95	13	to	to	ADP
ejpam-390	95	14	the	the	DET
ejpam-390	95	15	positive	positive	ADJ
ejpam-390	95	16	half	half	ADJ
ejpam-390	95	17	line	line	NOUN
ejpam-390	95	18	.	.	PUNCT
ejpam-390	96	1	since	since	SCONJ
ejpam-390	96	2	v	v	ADP
ejpam-390	96	3	∼	∼	NOUN
ejpam-390	96	4	de(0,1	de(0,1	NOUN
ejpam-390	96	5	)	)	PUNCT
ejpam-390	96	6	,	,	PUNCT
ejpam-390	96	7	bv	bv	PROPN
ejpam-390	96	8	d	d	PROPN
ejpam-390	96	9	=	=	PUNCT
ejpam-390	96	10	−bv	−bv	PROPN
ejpam-390	96	11	.	.	PUNCT
ejpam-390	97	1	thus	thus	ADV
ejpam-390	97	2	,	,	PUNCT
ejpam-390	97	3	we	we	PRON
ejpam-390	97	4	can	can	AUX
ejpam-390	97	5	restrict	restrict	VERB
ejpam-390	97	6	our	our	PRON
ejpam-390	97	7	attention	attention	NOUN
ejpam-390	97	8	to	to	ADP
ejpam-390	97	9	the	the	DET
ejpam-390	97	10	case	case	NOUN
ejpam-390	97	11	when	when	SCONJ
ejpam-390	97	12	b	b	PROPN
ejpam-390	97	13	≥	≥	X
ejpam-390	97	14	0	0	PUNCT
ejpam-390	98	1	as	as	SCONJ
ejpam-390	98	2	the	the	DET
ejpam-390	98	3	results	result	NOUN
ejpam-390	98	4	will	will	AUX
ejpam-390	98	5	be	be	AUX
ejpam-390	98	6	the	the	DET
ejpam-390	98	7	same	same	ADJ
ejpam-390	98	8	when	when	SCONJ
ejpam-390	98	9	b	b	X
ejpam-390	98	10	<	<	X
ejpam-390	98	11	0	0	NUM
ejpam-390	98	12	.	.	PUNCT
ejpam-390	98	13	k.	k.	PROPN
ejpam-390	98	14	jagannathan	jagannathan	PROPN
ejpam-390	98	15	,	,	PUNCT
ejpam-390	98	16	a.	a.	PROPN
ejpam-390	98	17	gupta	gupta	PROPN
ejpam-390	98	18	,	,	PUNCT
ejpam-390	98	19	and	and	CCONJ
ejpam-390	98	20	t.	t.	PROPN
ejpam-390	98	21	nguyen	nguyen	PROPN
ejpam-390	98	22	/	/	SYM
ejpam-390	98	23	eur	eur	PROPN
ejpam-390	98	24	.	.	PUNCT
ejpam-390	99	1	j.	j.	PROPN
ejpam-390	99	2	pure	pure	PROPN
ejpam-390	99	3	appl	appl	PROPN
ejpam-390	99	4	.	.	PROPN
ejpam-390	99	5	math	math	PROPN
ejpam-390	99	6	,	,	PUNCT
ejpam-390	99	7	2	2	NUM
ejpam-390	99	8	(	(	PUNCT
ejpam-390	99	9	2009	2009	NUM
ejpam-390	99	10	)	)	PUNCT
ejpam-390	99	11	,	,	PUNCT
ejpam-390	99	12	(	(	PUNCT
ejpam-390	99	13	1	1	NUM
ejpam-390	99	14	-	-	SYM
ejpam-390	99	15	20	20	NUM
ejpam-390	99	16	)	)	PUNCT
ejpam-390	99	17	6	6	NUM
ejpam-390	99	18	the	the	DET
ejpam-390	99	19	following	following	ADJ
ejpam-390	99	20	result	result	NOUN
ejpam-390	99	21	given	give	VERB
ejpam-390	99	22	by	by	ADP
ejpam-390	99	23	theorem(3.2	theorem(3.2	NOUN
ejpam-390	99	24	)	)	PUNCT
ejpam-390	99	25	is	be	AUX
ejpam-390	99	26	obtained	obtain	VERB
ejpam-390	99	27	by	by	ADP
ejpam-390	99	28	using	use	VERB
ejpam-390	99	29	the	the	DET
ejpam-390	99	30	fact	fact	NOUN
ejpam-390	99	31	that	that	SCONJ
ejpam-390	99	32	fya	fya	PROPN
ejpam-390	99	33	,	,	PUNCT
ejpam-390	99	34	b	b	PROPN
ejpam-390	99	35	(	(	PUNCT
ejpam-390	99	36	y	y	NOUN
ejpam-390	99	37	)	)	PUNCT
ejpam-390	99	38	=	=	NOUN
ejpam-390	99	39	p(a|u	p(a|u	NOUN
ejpam-390	99	40	|+	|+	NOUN
ejpam-390	99	41	bv	bv	PROPN
ejpam-390	99	42	≤	≤	PROPN
ejpam-390	99	43	y	y	PROPN
ejpam-390	99	44	)	)	PUNCT
ejpam-390	99	45	=	=	SYM
ejpam-390	99	46	p(−a|u	p(−a|u	NOUN
ejpam-390	99	47	|+	|+	NOUN
ejpam-390	99	48	bv	bv	PROPN
ejpam-390	99	49	≥	≥	PROPN
ejpam-390	99	50	−y	−y	NOUN
ejpam-390	99	51	)	)	PUNCT
ejpam-390	99	52	=	=	SYM
ejpam-390	99	53	1−	1−	NUM
ejpam-390	99	54	fy−a	fy−a	NOUN
ejpam-390	99	55	,	,	PUNCT
ejpam-390	99	56	b	b	PROPN
ejpam-390	99	57	(	(	PUNCT
ejpam-390	99	58	−y	−y	VERB
ejpam-390	99	59	)	)	PUNCT
ejpam-390	99	60	and	and	CCONJ
ejpam-390	99	61	the	the	DET
ejpam-390	99	62	result	result	NOUN
ejpam-390	99	63	of	of	ADP
ejpam-390	99	64	theorem(3.1	theorem(3.1	ADJ
ejpam-390	99	65	)	)	PUNCT
ejpam-390	99	66	.	.	PUNCT
ejpam-390	100	1	theorem	theorem	ADJ
ejpam-390	100	2	3.2	3.2	NUM
ejpam-390	100	3	.	.	PUNCT
ejpam-390	101	1	consider	consider	VERB
ejpam-390	101	2	two	two	NUM
ejpam-390	101	3	i.i.d	i.i.d	ADV
ejpam-390	101	4	random	random	ADJ
ejpam-390	101	5	variables	variable	NOUN
ejpam-390	101	6	u	u	NOUN
ejpam-390	101	7	,	,	PUNCT
ejpam-390	101	8	v	v	PRON
ejpam-390	101	9	distributed	distribute	VERB
ejpam-390	101	10	as	as	ADP
ejpam-390	101	11	de(0,1	de(0,1	NOUN
ejpam-390	101	12	)	)	PUNCT
ejpam-390	101	13	.	.	PUNCT
ejpam-390	102	1	then	then	ADV
ejpam-390	102	2	,	,	PUNCT
ejpam-390	102	3	the	the	DET
ejpam-390	102	4	random	random	ADJ
ejpam-390	102	5	variable	variable	NOUN
ejpam-390	102	6	y	y	PROPN
ejpam-390	102	7	defined	define	VERB
ejpam-390	102	8	as	as	ADP
ejpam-390	102	9	a|u	a|u	NOUN
ejpam-390	102	10	|+	|+	X
ejpam-390	102	11	bv	bv	PROPN
ejpam-390	102	12	,	,	PUNCT
ejpam-390	102	13	for	for	ADP
ejpam-390	102	14	a	a	PRON
ejpam-390	102	15	<	<	X
ejpam-390	102	16	0	0	NUM
ejpam-390	103	1	,	,	PUNCT
ejpam-390	103	2	b	b	X
ejpam-390	103	3	∈	∈	PROPN
ejpam-390	103	4	r+	r+	NOUN
ejpam-390	103	5	,	,	PUNCT
ejpam-390	103	6	a	a	DET
ejpam-390	103	7	6=	6=	NUM
ejpam-390	103	8	−b	−b	NOUN
ejpam-390	103	9	has	have	VERB
ejpam-390	103	10	the	the	DET
ejpam-390	103	11	c.d.f	c.d.f	NOUN
ejpam-390	103	12	.	.	PUNCT
ejpam-390	104	1	fy	fy	PROPN
ejpam-390	104	2	(	(	PUNCT
ejpam-390	104	3	y	y	NOUN
ejpam-390	104	4	)	)	PUNCT
ejpam-390	104	5	=	=	PUNCT
ejpam-390	105	1			PROPN
ejpam-390	105	2			X
ejpam-390	105	3			PROPN
ejpam-390	105	4	b	b	PROPN
ejpam-390	105	5	2(a+b	2(a+b	NUM
ejpam-390	105	6	)	)	PUNCT
ejpam-390	105	7	e	e	PROPN
ejpam-390	105	8	y	y	PROPN
ejpam-390	105	9	/	/	SYM
ejpam-390	105	10	b	b	PROPN
ejpam-390	105	11	−	−	PROPN
ejpam-390	105	12	a2	a2	PROPN
ejpam-390	105	13	b2−a2	b2−a2	PROPN
ejpam-390	105	14	e−y	e−y	PROPN
ejpam-390	105	15	/	/	SYM
ejpam-390	105	16	a	a	NOUN
ejpam-390	105	17	,	,	PUNCT
ejpam-390	105	18	i	i	PRON
ejpam-390	106	1	f	f	VERB
ejpam-390	106	2	y	y	PROPN
ejpam-390	106	3	<	<	X
ejpam-390	106	4	0	0	NUM
ejpam-390	107	1	1−	1−	NUM
ejpam-390	107	2	b	b	NUM
ejpam-390	107	3	2(b−a	2(b−a	X
ejpam-390	107	4	)	)	PUNCT
ejpam-390	107	5	e−y	e−y	PROPN
ejpam-390	107	6	/	/	SYM
ejpam-390	107	7	b	b	PROPN
ejpam-390	107	8	,	,	PUNCT
ejpam-390	107	9	i	i	PRON
ejpam-390	108	1	f	f	VERB
ejpam-390	108	2	y	y	PROPN
ejpam-390	108	3	≥	≥	NUM
ejpam-390	108	4	0	0	NUM
ejpam-390	109	1	and	and	CCONJ
ejpam-390	109	2	it	it	PRON
ejpam-390	109	3	’s	’	VERB
ejpam-390	109	4	p.d.f	p.d.f	ADJ
ejpam-390	109	5	.	.	PUNCT
ejpam-390	109	6	is	be	AUX
ejpam-390	109	7	given	give	VERB
ejpam-390	109	8	by	by	ADP
ejpam-390	109	9	fy	fy	PROPN
ejpam-390	109	10	(	(	PUNCT
ejpam-390	109	11	y	y	NOUN
ejpam-390	109	12	)	)	PUNCT
ejpam-390	109	13	=	=	PUNCT
ejpam-390	110	1			PROPN
ejpam-390	110	2			X
ejpam-390	110	3			NOUN
ejpam-390	110	4	e	e	PROPN
ejpam-390	110	5	y	y	PROPN
ejpam-390	110	6	/	/	SYM
ejpam-390	110	7	b	b	PROPN
ejpam-390	110	8	2(a+b	2(a+b	NUM
ejpam-390	110	9	)	)	PUNCT
ejpam-390	111	1	+	+	CCONJ
ejpam-390	111	2	a	a	DET
ejpam-390	111	3	(	(	PUNCT
ejpam-390	111	4	b2−a2	b2−a2	NOUN
ejpam-390	111	5	)	)	PUNCT
ejpam-390	111	6	e−y	e−y	PROPN
ejpam-390	111	7	/	/	SYM
ejpam-390	111	8	a	a	NOUN
ejpam-390	111	9	,	,	PUNCT
ejpam-390	111	10	i	i	PRON
ejpam-390	111	11	f	f	VERB
ejpam-390	111	12	y	y	PROPN
ejpam-390	111	13	<	<	X
ejpam-390	111	14	0	0	NUM
ejpam-390	111	15	e−y	e−y	PROPN
ejpam-390	111	16	/	/	SYM
ejpam-390	111	17	b	b	NOUN
ejpam-390	111	18	2(b−a	2(b−a	NUM
ejpam-390	111	19	)	)	PUNCT
ejpam-390	112	1	,	,	PUNCT
ejpam-390	112	2	i	i	PRON
ejpam-390	112	3	f	f	VERB
ejpam-390	112	4	y	y	PROPN
ejpam-390	112	5	≥	≥	NUM
ejpam-390	112	6	0	0	NUM
ejpam-390	112	7	.	.	PUNCT
ejpam-390	113	1	if	if	SCONJ
ejpam-390	113	2	a	a	PRON
ejpam-390	113	3	=	=	NOUN
ejpam-390	113	4	−b	−b	NOUN
ejpam-390	113	5	,	,	PUNCT
ejpam-390	113	6	then	then	ADV
ejpam-390	113	7	the	the	DET
ejpam-390	113	8	c.d.f	c.d.f	NOUN
ejpam-390	113	9	.	.	PUNCT
ejpam-390	113	10	is	be	AUX
ejpam-390	113	11	fy	fy	PROPN
ejpam-390	113	12	(	(	PUNCT
ejpam-390	113	13	y	y	NOUN
ejpam-390	113	14	)	)	PUNCT
ejpam-390	113	15	=	=	PUNCT
ejpam-390	114	1			PROPN
ejpam-390	114	2			ADP
ejpam-390	114	3			PROPN
ejpam-390	114	4	�	�	PROPN
ejpam-390	114	5	3a+2y	3a+2y	NUM
ejpam-390	114	6	4a	4a	NUM
ejpam-390	114	7	�	�	PROPN
ejpam-390	114	8	e−y	e−y	PROPN
ejpam-390	114	9	/	/	SYM
ejpam-390	114	10	a	a	NOUN
ejpam-390	114	11	,	,	PUNCT
ejpam-390	114	12	i	i	PRON
ejpam-390	115	1	f	f	VERB
ejpam-390	115	2	y	y	PROPN
ejpam-390	115	3	<	<	X
ejpam-390	115	4	0	0	NUM
ejpam-390	115	5	1−	1−	NUM
ejpam-390	115	6	1	1	NUM
ejpam-390	115	7	4	4	NUM
ejpam-390	115	8	e	e	NOUN
ejpam-390	115	9	y	y	PROPN
ejpam-390	115	10	/	/	SYM
ejpam-390	115	11	a	a	NOUN
ejpam-390	115	12	,	,	PUNCT
ejpam-390	115	13	i	i	PRON
ejpam-390	115	14	f	f	VERB
ejpam-390	115	15	y	y	PROPN
ejpam-390	115	16	≥	≥	NUM
ejpam-390	115	17	0	0	NUM
ejpam-390	116	1	and	and	CCONJ
ejpam-390	116	2	it	it	PRON
ejpam-390	116	3	’s	’	VERB
ejpam-390	116	4	p.d.f	p.d.f	ADJ
ejpam-390	116	5	.	.	PUNCT
ejpam-390	116	6	is	be	AUX
ejpam-390	116	7	given	give	VERB
ejpam-390	116	8	by	by	ADP
ejpam-390	116	9	fy	fy	PROPN
ejpam-390	116	10	(	(	PUNCT
ejpam-390	116	11	y	y	NOUN
ejpam-390	116	12	)	)	PUNCT
ejpam-390	116	13	=	=	PUNCT
ejpam-390	117	1			PROPN
ejpam-390	117	2			PRON
ejpam-390	117	3			NOUN
ejpam-390	117	4	−	−	PROPN
ejpam-390	117	5	�	�	PROPN
ejpam-390	117	6	a+2y	a+2y	PROPN
ejpam-390	117	7	4a2	4a2	NUM
ejpam-390	117	8	�	�	PROPN
ejpam-390	117	9	e−y	e−y	PROPN
ejpam-390	117	10	/	/	SYM
ejpam-390	117	11	a	a	NOUN
ejpam-390	117	12	,	,	PUNCT
ejpam-390	117	13	i	i	PRON
ejpam-390	118	1	f	f	VERB
ejpam-390	118	2	y	y	NOUN
ejpam-390	118	3	<	<	X
ejpam-390	118	4	0	0	NUM
ejpam-390	119	1	−	−	NUM
ejpam-390	119	2	1	1	NUM
ejpam-390	119	3	4a	4a	NOUN
ejpam-390	119	4	e	e	PART
ejpam-390	119	5	y	y	PROPN
ejpam-390	119	6	/	/	SYM
ejpam-390	119	7	a	a	NOUN
ejpam-390	119	8	,	,	PUNCT
ejpam-390	119	9	i	i	PRON
ejpam-390	119	10	f	f	VERB
ejpam-390	119	11	y	y	PROPN
ejpam-390	119	12	≥	≥	PROPN
ejpam-390	119	13	0	0	NUM
ejpam-390	119	14	.	.	PUNCT
ejpam-390	120	1	corollary	corollary	ADJ
ejpam-390	120	2	3.1	3.1	NUM
ejpam-390	120	3	.	.	PUNCT
ejpam-390	121	1	consider	consider	VERB
ejpam-390	121	2	the	the	DET
ejpam-390	121	3	random	random	ADJ
ejpam-390	121	4	variable	variable	NOUN
ejpam-390	121	5	y	y	PROPN
ejpam-390	121	6	as	as	SCONJ
ejpam-390	121	7	defined	define	VERB
ejpam-390	121	8	in	in	ADP
ejpam-390	121	9	theorem	theorem	NOUN
ejpam-390	121	10	3.1	3.1	NUM
ejpam-390	121	11	.	.	PUNCT
ejpam-390	122	1	then	then	ADV
ejpam-390	122	2	the	the	DET
ejpam-390	122	3	random	random	ADJ
ejpam-390	122	4	variable	variable	NOUN
ejpam-390	122	5	x	x	PUNCT
ejpam-390	122	6	defined	define	VERB
ejpam-390	122	7	as	as	ADP
ejpam-390	122	8	x	x	X
ejpam-390	122	9	=	=	PUNCT
ejpam-390	122	10	θ(y	θ(y	NOUN
ejpam-390	122	11	)	)	PUNCT
ejpam-390	123	1	+	+	CCONJ
ejpam-390	123	2	(	(	PUNCT
ejpam-390	123	3	a+	a+	X
ejpam-390	123	4	b)η	b)η	NOUN
ejpam-390	123	5	,	,	PUNCT
ejpam-390	123	6	for	for	ADP
ejpam-390	123	7	a	a	PRON
ejpam-390	123	8	>	>	X
ejpam-390	123	9	0	0	NUM
ejpam-390	123	10	,	,	PUNCT
ejpam-390	123	11	b	b	X
ejpam-390	123	12	∈	∈	PROPN
ejpam-390	123	13	r+	r+	NOUN
ejpam-390	123	14	with	with	ADP
ejpam-390	123	15	a	a	DET
ejpam-390	123	16	6=	6=	PROPN
ejpam-390	123	17	b	b	PROPN
ejpam-390	123	18	has	have	VERB
ejpam-390	123	19	c.d.f	c.d.f	ADJ
ejpam-390	123	20	.	.	PUNCT
ejpam-390	124	1	fx	fx	PROPN
ejpam-390	124	2	(	(	PUNCT
ejpam-390	124	3	x	x	X
ejpam-390	124	4	)	)	PUNCT
ejpam-390	124	5	=	=	PUNCT
ejpam-390	124	6			PROPN
ejpam-390	124	7			X
ejpam-390	124	8			PROPN
ejpam-390	124	9	b	b	PROPN
ejpam-390	124	10	2(a+b	2(a+b	NUM
ejpam-390	124	11	)	)	PUNCT
ejpam-390	125	1	e	e	NOUN
ejpam-390	125	2	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	125	3	bθ	bθ	ADV
ejpam-390	125	4	,	,	PUNCT
ejpam-390	125	5	i	i	PRON
ejpam-390	125	6	f	f	VERB
ejpam-390	125	7	x	x	X
ejpam-390	125	8	<	<	X
ejpam-390	125	9	(	(	PUNCT
ejpam-390	125	10	a+	a+	X
ejpam-390	125	11	b)η	b)η	NOUN
ejpam-390	125	12	1	1	NUM
ejpam-390	125	13	+	+	NUM
ejpam-390	125	14	a2	a2	PROPN
ejpam-390	125	15	(	(	PUNCT
ejpam-390	125	16	b2−a2	b2−a2	NOUN
ejpam-390	125	17	)	)	PUNCT
ejpam-390	125	18	e−	e−	X
ejpam-390	125	19	x−(a+b)η	x−(a+b)η	NOUN
ejpam-390	125	20	aθ	aθ	VERB
ejpam-390	125	21	−	−	PROPN
ejpam-390	125	22	b	b	PROPN
ejpam-390	125	23	2(b−a	2(b−a	NUM
ejpam-390	125	24	)	)	PUNCT
ejpam-390	125	25	e−	e−	NOUN
ejpam-390	125	26	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	125	27	bθ	bθ	ADV
ejpam-390	125	28	,	,	PUNCT
ejpam-390	126	1	i	i	PRON
ejpam-390	126	2	f	f	X
ejpam-390	126	3	x	x	X
ejpam-390	126	4	≥	≥	X
ejpam-390	126	5	(	(	PUNCT
ejpam-390	126	6	a+	a+	X
ejpam-390	126	7	b)η	b)η	NOUN
ejpam-390	126	8	and	and	CCONJ
ejpam-390	126	9	it	it	PRON
ejpam-390	126	10	’s	’	VERB
ejpam-390	126	11	p.d.f	p.d.f	ADJ
ejpam-390	126	12	.	.	PUNCT
ejpam-390	126	13	is	be	AUX
ejpam-390	126	14	given	give	VERB
ejpam-390	126	15	by	by	ADP
ejpam-390	126	16	fx	fx	PROPN
ejpam-390	126	17	(	(	PUNCT
ejpam-390	126	18	x	x	NOUN
ejpam-390	126	19	)	)	PUNCT
ejpam-390	126	20	=	=	PUNCT
ejpam-390	127	1			PROPN
ejpam-390	127	2			ADP
ejpam-390	127	3			ADJ
ejpam-390	127	4	1	1	NUM
ejpam-390	127	5	2θ	2θ	NUM
ejpam-390	127	6	(	(	PUNCT
ejpam-390	127	7	a+b	a+b	NUM
ejpam-390	127	8	)	)	PUNCT
ejpam-390	127	9	e	e	AUX
ejpam-390	127	10	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	127	11	bθ	bθ	ADV
ejpam-390	127	12	,	,	PUNCT
ejpam-390	127	13	i	i	PRON
ejpam-390	127	14	f	f	VERB
ejpam-390	127	15	x	x	X
ejpam-390	127	16	<	<	X
ejpam-390	127	17	(	(	PUNCT
ejpam-390	127	18	a+	a+	X
ejpam-390	127	19	b)η	b)η	NOUN
ejpam-390	127	20	1	1	NUM
ejpam-390	127	21	2θ	2θ	NUM
ejpam-390	127	22	(	(	PUNCT
ejpam-390	127	23	b−a	b−a	NOUN
ejpam-390	127	24	)	)	PUNCT
ejpam-390	127	25	e−	e−	NOUN
ejpam-390	127	26	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	127	27	bθ	bθ	ADP
ejpam-390	127	28	−	−	PROPN
ejpam-390	127	29	a	a	DET
ejpam-390	127	30	θ	θ	PROPN
ejpam-390	127	31	(	(	PUNCT
ejpam-390	127	32	b2−a2	b2−a2	NOUN
ejpam-390	127	33	)	)	PUNCT
ejpam-390	127	34	e−	e−	X
ejpam-390	127	35	x−(a+b)η	x−(a+b)η	NOUN
ejpam-390	127	36	aθ	aθ	INTJ
ejpam-390	127	37	,	,	PUNCT
ejpam-390	128	1	i	i	PRON
ejpam-390	128	2	f	f	X
ejpam-390	128	3	x	x	X
ejpam-390	128	4	≥	≥	X
ejpam-390	128	5	(	(	PUNCT
ejpam-390	128	6	a+	a+	X
ejpam-390	128	7	b)η	b)η	NOUN
ejpam-390	128	8	.	.	PUNCT
ejpam-390	129	1	k.	k.	PROPN
ejpam-390	129	2	jagannathan	jagannathan	PROPN
ejpam-390	129	3	,	,	PUNCT
ejpam-390	129	4	a.	a.	PROPN
ejpam-390	129	5	gupta	gupta	PROPN
ejpam-390	129	6	,	,	PUNCT
ejpam-390	129	7	and	and	CCONJ
ejpam-390	129	8	t.	t.	PROPN
ejpam-390	129	9	nguyen	nguyen	PROPN
ejpam-390	129	10	/	/	SYM
ejpam-390	129	11	eur	eur	PROPN
ejpam-390	129	12	.	.	PUNCT
ejpam-390	130	1	j.	j.	PROPN
ejpam-390	130	2	pure	pure	PROPN
ejpam-390	130	3	appl	appl	PROPN
ejpam-390	130	4	.	.	PROPN
ejpam-390	130	5	math	math	PROPN
ejpam-390	130	6	,	,	PUNCT
ejpam-390	130	7	2	2	NUM
ejpam-390	130	8	(	(	PUNCT
ejpam-390	130	9	2009	2009	NUM
ejpam-390	130	10	)	)	PUNCT
ejpam-390	130	11	,	,	PUNCT
ejpam-390	130	12	(	(	PUNCT
ejpam-390	130	13	1	1	NUM
ejpam-390	130	14	-	-	SYM
ejpam-390	130	15	20	20	NUM
ejpam-390	130	16	)	)	PUNCT
ejpam-390	130	17	7	7	NUM
ejpam-390	130	18	if	if	SCONJ
ejpam-390	130	19	a	a	DET
ejpam-390	130	20	=	=	SYM
ejpam-390	130	21	b	b	NOUN
ejpam-390	130	22	,	,	PUNCT
ejpam-390	130	23	then	then	ADV
ejpam-390	130	24	the	the	DET
ejpam-390	130	25	c.d.f	c.d.f	NOUN
ejpam-390	130	26	.	.	PUNCT
ejpam-390	130	27	is	be	AUX
ejpam-390	130	28	given	give	VERB
ejpam-390	130	29	by	by	ADP
ejpam-390	130	30	fx	fx	PROPN
ejpam-390	130	31	(	(	PUNCT
ejpam-390	130	32	x	x	NOUN
ejpam-390	130	33	)	)	PUNCT
ejpam-390	130	34	=	=	PUNCT
ejpam-390	131	1			PROPN
ejpam-390	131	2			ADP
ejpam-390	131	3			NOUN
ejpam-390	131	4	1	1	NUM
ejpam-390	131	5	4	4	NUM
ejpam-390	131	6	e	e	NOUN
ejpam-390	131	7	x−2aη	x−2aη	NOUN
ejpam-390	131	8	aθ	aθ	INTJ
ejpam-390	131	9	,	,	PUNCT
ejpam-390	131	10	i	i	PRON
ejpam-390	131	11	f	f	X
ejpam-390	131	12	x	x	X
ejpam-390	131	13	<	<	X
ejpam-390	131	14	2aη	2aη	ADJ
ejpam-390	131	15	1−	1−	NUM
ejpam-390	131	16	�	�	PROPN
ejpam-390	131	17	a(3θ−4η)+2x	a(3θ−4η)+2x	PROPN
ejpam-390	131	18	4aθ	4aθ	PROPN
ejpam-390	131	19	�	�	PROPN
ejpam-390	132	1	e−	e−	PROPN
ejpam-390	132	2	x−2aη	x−2aη	NOUN
ejpam-390	132	3	aθ	aθ	INTJ
ejpam-390	132	4	,	,	PUNCT
ejpam-390	133	1	i	i	PRON
ejpam-390	133	2	f	f	X
ejpam-390	133	3	x	x	X
ejpam-390	133	4	≥	≥	NUM
ejpam-390	133	5	2aη	2aη	NOUN
ejpam-390	134	1	and	and	CCONJ
ejpam-390	134	2	it	it	PRON
ejpam-390	134	3	’s	’	VERB
ejpam-390	134	4	p.d.f	p.d.f	ADJ
ejpam-390	134	5	.	.	PUNCT
ejpam-390	134	6	is	be	AUX
ejpam-390	134	7	given	give	VERB
ejpam-390	134	8	by	by	ADP
ejpam-390	134	9	fx	fx	PROPN
ejpam-390	134	10	(	(	PUNCT
ejpam-390	134	11	x	x	NOUN
ejpam-390	134	12	)	)	PUNCT
ejpam-390	134	13	=	=	PUNCT
ejpam-390	135	1			PROPN
ejpam-390	135	2			ADP
ejpam-390	135	3			ADJ
ejpam-390	135	4	1	1	NUM
ejpam-390	135	5	4aθ	4aθ	NOUN
ejpam-390	135	6	e	e	X
ejpam-390	135	7	x−2aη	x−2aη	NOUN
ejpam-390	135	8	aθ	aθ	INTJ
ejpam-390	135	9	,	,	PUNCT
ejpam-390	135	10	i	i	PRON
ejpam-390	135	11	f	f	VERB
ejpam-390	135	12	x	x	X
ejpam-390	135	13	<	<	X
ejpam-390	135	14	2aη	2aη	ADJ
ejpam-390	135	15	�	�	PROPN
ejpam-390	135	16	a(θ−4η)+2x	a(θ−4η)+2x	PROPN
ejpam-390	135	17	4a2θ	4a2θ	NOUN
ejpam-390	135	18	2	2	NUM
ejpam-390	135	19	�	�	NOUN
ejpam-390	135	20	e−	e−	PROPN
ejpam-390	135	21	x−2aη	x−2aη	NOUN
ejpam-390	135	22	aθ	aθ	INTJ
ejpam-390	135	23	,	,	PUNCT
ejpam-390	136	1	i	i	PRON
ejpam-390	136	2	f	f	X
ejpam-390	136	3	x	x	X
ejpam-390	136	4	≥	≥	NUM
ejpam-390	136	5	2aη	2aη	NOUN
ejpam-390	136	6	.	.	PUNCT
ejpam-390	137	1	y	y	PROPN
ejpam-390	137	2	is	be	AUX
ejpam-390	137	3	said	say	VERB
ejpam-390	137	4	to	to	PART
ejpam-390	137	5	have	have	VERB
ejpam-390	137	6	a	a	DET
ejpam-390	137	7	skewed	skewed	ADJ
ejpam-390	137	8	double	double	ADJ
ejpam-390	137	9	exponential	exponential	ADJ
ejpam-390	137	10	distribution	distribution	NOUN
ejpam-390	137	11	with	with	ADP
ejpam-390	137	12	parameters	parameter	NOUN
ejpam-390	137	13	η	η	PROPN
ejpam-390	137	14	and	and	CCONJ
ejpam-390	137	15	θ	θ	PROPN
ejpam-390	137	16	,	,	PUNCT
ejpam-390	137	17	i.e	i.e	PROPN
ejpam-390	137	18	y	y	PROPN
ejpam-390	137	19	∼	∼	NOUN
ejpam-390	137	20	sde1(a	sde1(a	NOUN
ejpam-390	137	21	,	,	PUNCT
ejpam-390	137	22	b	b	PROPN
ejpam-390	137	23	,	,	PUNCT
ejpam-390	137	24	η	η	PROPN
ejpam-390	137	25	,	,	PUNCT
ejpam-390	137	26	θ	θ	NOUN
ejpam-390	137	27	)	)	PUNCT
ejpam-390	137	28	.	.	PUNCT
ejpam-390	138	1	proof	proof	NOUN
ejpam-390	138	2	.	.	PUNCT
ejpam-390	139	1	the	the	DET
ejpam-390	139	2	proof	proof	NOUN
ejpam-390	139	3	of	of	ADP
ejpam-390	139	4	this	this	DET
ejpam-390	139	5	assertion	assertion	NOUN
ejpam-390	139	6	is	be	AUX
ejpam-390	139	7	an	an	DET
ejpam-390	139	8	exercise	exercise	NOUN
ejpam-390	139	9	in	in	ADP
ejpam-390	139	10	transformations	transformation	NOUN
ejpam-390	139	11	of	of	ADP
ejpam-390	139	12	random	random	ADJ
ejpam-390	139	13	variables	variable	NOUN
ejpam-390	139	14	.	.	PUNCT
ejpam-390	140	1	we	we	PRON
ejpam-390	140	2	are	be	AUX
ejpam-390	140	3	transform	transform	VERB
ejpam-390	140	4	the	the	DET
ejpam-390	140	5	variable	variable	ADJ
ejpam-390	140	6	y	y	PROPN
ejpam-390	140	7	as	as	ADP
ejpam-390	140	8	in	in	ADP
ejpam-390	140	9	theorem	theorem	ADJ
ejpam-390	140	10	3.1	3.1	NUM
ejpam-390	140	11	and	and	CCONJ
ejpam-390	140	12	theorem	theorem	VERB
ejpam-390	140	13	3.2	3.2	NUM
ejpam-390	140	14	to	to	ADP
ejpam-390	140	15	y	y	PROPN
ejpam-390	140	16	−	−	PROPN
ejpam-390	140	17	(	(	PUNCT
ejpam-390	140	18	a+	a+	X
ejpam-390	140	19	b)η	b)η	NOUN
ejpam-390	140	20	θ	θ	NOUN
ejpam-390	140	21	.	.	PUNCT
ejpam-390	141	1	the	the	DET
ejpam-390	141	2	transformed	transform	VERB
ejpam-390	141	3	random	random	ADJ
ejpam-390	141	4	variable	variable	NOUN
ejpam-390	141	5	will	will	AUX
ejpam-390	141	6	have	have	VERB
ejpam-390	141	7	the	the	DET
ejpam-390	141	8	appropriate	appropriate	ADJ
ejpam-390	141	9	c.d.f	c.d.f	NOUN
ejpam-390	141	10	.	.	PUNCT
ejpam-390	141	11	and	and	CCONJ
ejpam-390	141	12	p.d.f	p.d.f	ADJ
ejpam-390	141	13	.	.	PUNCT
ejpam-390	142	1	as	as	SCONJ
ejpam-390	142	2	mentioned	mention	VERB
ejpam-390	142	3	in	in	ADP
ejpam-390	142	4	the	the	DET
ejpam-390	142	5	statement	statement	NOUN
ejpam-390	142	6	of	of	ADP
ejpam-390	142	7	the	the	DET
ejpam-390	142	8	corollary	corollary	NOUN
ejpam-390	142	9	.	.	PUNCT
ejpam-390	143	1	in	in	ADP
ejpam-390	143	2	the	the	DET
ejpam-390	143	3	case	case	NOUN
ejpam-390	143	4	when	when	SCONJ
ejpam-390	143	5	a	a	DET
ejpam-390	143	6	<	<	X
ejpam-390	143	7	0	0	NUM
ejpam-390	143	8	in	in	ADP
ejpam-390	143	9	the	the	DET
ejpam-390	143	10	above	above	ADJ
ejpam-390	143	11	corollary	corollary	NOUN
ejpam-390	143	12	,	,	PUNCT
ejpam-390	143	13	we	we	PRON
ejpam-390	143	14	have	have	VERB
ejpam-390	143	15	the	the	DET
ejpam-390	143	16	following	follow	VERB
ejpam-390	143	17	corollary	corollary	NOUN
ejpam-390	143	18	to	to	ADP
ejpam-390	143	19	theorem	theorem	NOUN
ejpam-390	143	20	3.2	3.2	NUM
ejpam-390	143	21	,	,	PUNCT
ejpam-390	143	22	which	which	PRON
ejpam-390	143	23	we	we	PRON
ejpam-390	143	24	state	state	VERB
ejpam-390	143	25	without	without	ADP
ejpam-390	143	26	proof	proof	NOUN
ejpam-390	143	27	.	.	PUNCT
ejpam-390	144	1	corollary	corollary	ADJ
ejpam-390	144	2	3.2	3.2	NUM
ejpam-390	144	3	.	.	PUNCT
ejpam-390	145	1	consider	consider	VERB
ejpam-390	145	2	the	the	DET
ejpam-390	145	3	random	random	ADJ
ejpam-390	145	4	variable	variable	NOUN
ejpam-390	145	5	y	y	PROPN
ejpam-390	145	6	as	as	SCONJ
ejpam-390	145	7	defined	define	VERB
ejpam-390	145	8	in	in	ADP
ejpam-390	145	9	theorem	theorem	NOUN
ejpam-390	145	10	3.1	3.1	NUM
ejpam-390	145	11	.	.	PUNCT
ejpam-390	146	1	then	then	ADV
ejpam-390	146	2	the	the	DET
ejpam-390	146	3	random	random	ADJ
ejpam-390	146	4	variable	variable	NOUN
ejpam-390	146	5	x	x	PUNCT
ejpam-390	146	6	defined	define	VERB
ejpam-390	146	7	as	as	ADP
ejpam-390	146	8	x	x	X
ejpam-390	146	9	=	=	PUNCT
ejpam-390	146	10	θ(y	θ(y	NOUN
ejpam-390	146	11	)	)	PUNCT
ejpam-390	147	1	+	+	CCONJ
ejpam-390	147	2	(	(	PUNCT
ejpam-390	147	3	a+	a+	X
ejpam-390	147	4	b)η	b)η	NOUN
ejpam-390	147	5	,	,	PUNCT
ejpam-390	147	6	for	for	ADP
ejpam-390	147	7	a	a	DET
ejpam-390	147	8	<	<	X
ejpam-390	147	9	0	0	NUM
ejpam-390	147	10	,	,	PUNCT
ejpam-390	147	11	b	b	X
ejpam-390	147	12	∈	∈	PROPN
ejpam-390	147	13	r+	r+	NOUN
ejpam-390	147	14	with	with	ADP
ejpam-390	147	15	a	a	DET
ejpam-390	147	16	6=	6=	NUM
ejpam-390	147	17	−b	−b	NOUN
ejpam-390	147	18	has	have	AUX
ejpam-390	147	19	c.d.f	c.d.f	ADJ
ejpam-390	147	20	.	.	PUNCT
ejpam-390	148	1	fx	fx	PROPN
ejpam-390	148	2	(	(	PUNCT
ejpam-390	148	3	x	x	X
ejpam-390	148	4	)	)	PUNCT
ejpam-390	148	5	=	=	PUNCT
ejpam-390	148	6			PROPN
ejpam-390	148	7			X
ejpam-390	148	8			PROPN
ejpam-390	148	9	b	b	PROPN
ejpam-390	148	10	2(a+b	2(a+b	NUM
ejpam-390	148	11	)	)	PUNCT
ejpam-390	149	1	e	e	AUX
ejpam-390	149	2	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	149	3	bθ	bθ	ADP
ejpam-390	149	4	−	−	PROPN
ejpam-390	149	5	a2	a2	PROPN
ejpam-390	149	6	(	(	PUNCT
ejpam-390	149	7	b2−a2	b2−a2	NOUN
ejpam-390	149	8	)	)	PUNCT
ejpam-390	149	9	e−	e−	X
ejpam-390	149	10	x−(a+b)η	x−(a+b)η	NOUN
ejpam-390	149	11	aθ	aθ	INTJ
ejpam-390	149	12	,	,	PUNCT
ejpam-390	149	13	i	i	PRON
ejpam-390	149	14	f	f	VERB
ejpam-390	149	15	x	x	X
ejpam-390	149	16	<	<	X
ejpam-390	149	17	(	(	PUNCT
ejpam-390	149	18	a+	a+	X
ejpam-390	149	19	b)η	b)η	NOUN
ejpam-390	149	20	1−	1−	NUM
ejpam-390	149	21	b	b	SYM
ejpam-390	149	22	2(b−a	2(b−a	X
ejpam-390	149	23	)	)	PUNCT
ejpam-390	149	24	e−	e−	NOUN
ejpam-390	149	25	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	149	26	bθ	bθ	ADV
ejpam-390	149	27	,	,	PUNCT
ejpam-390	150	1	i	i	PRON
ejpam-390	150	2	f	f	X
ejpam-390	150	3	x	x	X
ejpam-390	150	4	≥	≥	X
ejpam-390	150	5	(	(	PUNCT
ejpam-390	150	6	a+	a+	X
ejpam-390	150	7	b)η	b)η	NOUN
ejpam-390	150	8	and	and	CCONJ
ejpam-390	150	9	it	it	PRON
ejpam-390	150	10	’s	’	VERB
ejpam-390	150	11	p.d.f	p.d.f	ADJ
ejpam-390	150	12	.	.	PUNCT
ejpam-390	150	13	is	be	AUX
ejpam-390	150	14	given	give	VERB
ejpam-390	150	15	by	by	ADP
ejpam-390	150	16	fx	fx	PROPN
ejpam-390	150	17	(	(	PUNCT
ejpam-390	150	18	x	x	NOUN
ejpam-390	150	19	)	)	PUNCT
ejpam-390	150	20	=	=	PUNCT
ejpam-390	151	1			PROPN
ejpam-390	151	2			ADP
ejpam-390	151	3			ADJ
ejpam-390	151	4	1	1	NUM
ejpam-390	151	5	2θ	2θ	NUM
ejpam-390	151	6	(	(	PUNCT
ejpam-390	151	7	a+b	a+b	NUM
ejpam-390	151	8	)	)	PUNCT
ejpam-390	151	9	e	e	AUX
ejpam-390	151	10	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	151	11	bθ	bθ	ADP
ejpam-390	151	12	+	+	CCONJ
ejpam-390	151	13	a	a	DET
ejpam-390	151	14	θ	θ	PROPN
ejpam-390	151	15	(	(	PUNCT
ejpam-390	151	16	b2−a2	b2−a2	NOUN
ejpam-390	151	17	)	)	PUNCT
ejpam-390	151	18	e−	e−	X
ejpam-390	151	19	x−(a+b)η	x−(a+b)η	NOUN
ejpam-390	151	20	aθ	aθ	INTJ
ejpam-390	151	21	,	,	PUNCT
ejpam-390	151	22	i	i	PRON
ejpam-390	151	23	f	f	VERB
ejpam-390	151	24	x	x	X
ejpam-390	151	25	<	<	X
ejpam-390	151	26	(	(	PUNCT
ejpam-390	151	27	a+	a+	X
ejpam-390	151	28	b)η	b)η	NOUN
ejpam-390	151	29	1	1	NUM
ejpam-390	151	30	2θ	2θ	NUM
ejpam-390	151	31	(	(	PUNCT
ejpam-390	151	32	b−a	b−a	NOUN
ejpam-390	151	33	)	)	PUNCT
ejpam-390	151	34	e−	e−	NOUN
ejpam-390	151	35	x−(a+b)η	x−(a+b)η	VERB
ejpam-390	151	36	bθ	bθ	ADV
ejpam-390	151	37	,	,	PUNCT
ejpam-390	152	1	i	i	PRON
ejpam-390	152	2	f	f	X
ejpam-390	152	3	x	x	X
ejpam-390	152	4	≥	≥	X
ejpam-390	152	5	(	(	PUNCT
ejpam-390	152	6	a+	a+	X
ejpam-390	152	7	b)η	b)η	NOUN
ejpam-390	152	8	.	.	PUNCT
ejpam-390	153	1	if	if	SCONJ
ejpam-390	153	2	a	a	DET
ejpam-390	153	3	=	=	X
ejpam-390	153	4	−b	−b	NOUN
ejpam-390	153	5	then	then	ADV
ejpam-390	153	6	the	the	DET
ejpam-390	153	7	c.d.f	c.d.f	NOUN
ejpam-390	153	8	.	.	PUNCT
ejpam-390	153	9	is	be	AUX
ejpam-390	153	10	given	give	VERB
ejpam-390	153	11	by	by	ADP
ejpam-390	153	12	fx	fx	PROPN
ejpam-390	153	13	(	(	PUNCT
ejpam-390	153	14	x	x	NOUN
ejpam-390	153	15	)	)	PUNCT
ejpam-390	153	16	=	=	PUNCT
ejpam-390	153	17			PROPN
ejpam-390	153	18			ADP
ejpam-390	153	19			ADJ
ejpam-390	153	20	�	�	PROPN
ejpam-390	153	21	a(3θ−4θ+2x	a(3θ−4θ+2x	PROPN
ejpam-390	153	22	4aθ	4aθ	PROPN
ejpam-390	153	23	�	�	PROPN
ejpam-390	153	24	e−	e−	PROPN
ejpam-390	153	25	x−2aη	x−2aη	NOUN
ejpam-390	153	26	aθ	aθ	INTJ
ejpam-390	153	27	,	,	PUNCT
ejpam-390	153	28	i	i	PRON
ejpam-390	153	29	f	f	X
ejpam-390	153	30	x	x	X
ejpam-390	153	31	<	<	X
ejpam-390	153	32	2aη	2aη	NOUN
ejpam-390	153	33	1−	1−	NUM
ejpam-390	153	34	1	1	NUM
ejpam-390	153	35	4	4	NUM
ejpam-390	153	36	e	e	NOUN
ejpam-390	153	37	x−2aη	x−2aη	NOUN
ejpam-390	153	38	aθ	aθ	INTJ
ejpam-390	153	39	,	,	PUNCT
ejpam-390	153	40	i	i	PRON
ejpam-390	153	41	f	f	X
ejpam-390	153	42	x	x	X
ejpam-390	153	43	≥	≥	NUM
ejpam-390	153	44	2aη	2aη	NOUN
ejpam-390	153	45	k.	k.	PROPN
ejpam-390	153	46	jagannathan	jagannathan	PROPN
ejpam-390	153	47	,	,	PUNCT
ejpam-390	153	48	a.	a.	PROPN
ejpam-390	153	49	gupta	gupta	PROPN
ejpam-390	153	50	,	,	PUNCT
ejpam-390	153	51	and	and	CCONJ
ejpam-390	153	52	t.	t.	PROPN
ejpam-390	153	53	nguyen	nguyen	PROPN
ejpam-390	153	54	/	/	SYM
ejpam-390	153	55	eur	eur	PROPN
ejpam-390	153	56	.	.	PUNCT
ejpam-390	154	1	j.	j.	PROPN
ejpam-390	154	2	pure	pure	PROPN
ejpam-390	154	3	appl	appl	PROPN
ejpam-390	154	4	.	.	PROPN
ejpam-390	154	5	math	math	PROPN
ejpam-390	154	6	,	,	PUNCT
ejpam-390	154	7	2	2	NUM
ejpam-390	154	8	(	(	PUNCT
ejpam-390	154	9	2009	2009	NUM
ejpam-390	154	10	)	)	PUNCT
ejpam-390	154	11	,	,	PUNCT
ejpam-390	154	12	(	(	PUNCT
ejpam-390	154	13	1	1	NUM
ejpam-390	154	14	-	-	SYM
ejpam-390	154	15	20	20	NUM
ejpam-390	154	16	)	)	PUNCT
ejpam-390	154	17	8	8	NUM
ejpam-390	155	1	and	and	CCONJ
ejpam-390	155	2	it	it	PRON
ejpam-390	155	3	’s	’	VERB
ejpam-390	155	4	p.d.f	p.d.f	ADJ
ejpam-390	155	5	.	.	PUNCT
ejpam-390	155	6	is	be	AUX
ejpam-390	155	7	given	give	VERB
ejpam-390	155	8	by	by	ADP
ejpam-390	155	9	fx	fx	PROPN
ejpam-390	155	10	(	(	PUNCT
ejpam-390	155	11	x	x	NOUN
ejpam-390	155	12	)	)	PUNCT
ejpam-390	155	13	=	=	PUNCT
ejpam-390	155	14			PROPN
ejpam-390	155	15			PRON
ejpam-390	155	16			NOUN
ejpam-390	155	17	−	−	PROPN
ejpam-390	155	18	�	�	PROPN
ejpam-390	155	19	a(θ−4η)+2x	a(θ−4η)+2x	PROPN
ejpam-390	155	20	4a2θ	4a2θ	NOUN
ejpam-390	155	21	2	2	NUM
ejpam-390	155	22	�	�	NOUN
ejpam-390	155	23	e−	e−	PROPN
ejpam-390	155	24	x−2aη	x−2aη	NOUN
ejpam-390	155	25	aθ	aθ	INTJ
ejpam-390	155	26	,	,	PUNCT
ejpam-390	156	1	i	i	PRON
ejpam-390	156	2	f	f	X
ejpam-390	157	1	x	x	X
ejpam-390	157	2	<	<	X
ejpam-390	157	3	2aη	2aη	ADJ
ejpam-390	157	4	−	−	NUM
ejpam-390	157	5	1	1	NUM
ejpam-390	157	6	4aθ	4aθ	NOUN
ejpam-390	157	7	e	e	X
ejpam-390	157	8	x−2aη	x−2aη	NOUN
ejpam-390	157	9	aθ	aθ	INTJ
ejpam-390	157	10	,	,	PUNCT
ejpam-390	158	1	i	i	PRON
ejpam-390	158	2	f	f	X
ejpam-390	158	3	x	x	X
ejpam-390	158	4	≥	≥	NUM
ejpam-390	158	5	2aη	2aη	NOUN
ejpam-390	158	6	.	.	PUNCT
ejpam-390	159	1	in	in	ADP
ejpam-390	159	2	fig.1	fig.1	PROPN
ejpam-390	159	3	through	through	ADP
ejpam-390	159	4	fig.4	fig.4	PROPN
ejpam-390	159	5	,	,	PUNCT
ejpam-390	159	6	graphs	graph	NOUN
ejpam-390	159	7	of	of	ADP
ejpam-390	159	8	the	the	DET
ejpam-390	159	9	sde1(a	sde1(a	PROPN
ejpam-390	159	10	,	,	PUNCT
ejpam-390	159	11	b	b	NOUN
ejpam-390	159	12	)	)	PUNCT
ejpam-390	159	13	density	density	NOUN
ejpam-390	159	14	functions	function	NOUN
ejpam-390	159	15	are	be	AUX
ejpam-390	159	16	presented	present	VERB
ejpam-390	159	17	for	for	ADP
ejpam-390	159	18	a	a	DET
ejpam-390	159	19	=	=	X
ejpam-390	159	20	−90,−20,−5,5,20,90	−90,−20,−5,5,20,90	X
ejpam-390	159	21	and	and	CCONJ
ejpam-390	159	22	b	b	X
ejpam-390	159	23	=	=	SYM
ejpam-390	159	24	.1,1,10,50	.1,1,10,50	PROPN
ejpam-390	159	25	.	.	PUNCT
ejpam-390	160	1	fig.1	fig.1	ADJ
ejpam-390	160	2	deals	deal	NOUN
ejpam-390	160	3	with	with	ADP
ejpam-390	160	4	the	the	DET
ejpam-390	160	5	graphs	graph	NOUN
ejpam-390	160	6	of	of	ADP
ejpam-390	160	7	sde1(a	sde1(a	NUM
ejpam-390	160	8	,	,	PUNCT
ejpam-390	160	9	b	b	NOUN
ejpam-390	160	10	)	)	PUNCT
ejpam-390	160	11	density	density	NOUN
ejpam-390	160	12	functions	function	NOUN
ejpam-390	160	13	when	when	SCONJ
ejpam-390	160	14	a	a	DET
ejpam-390	160	15	=	=	NOUN
ejpam-390	160	16	−90	−90	NOUN
ejpam-390	160	17	while	while	SCONJ
ejpam-390	160	18	fig.2	fig.2	PROPN
ejpam-390	160	19	deals	deal	NOUN
ejpam-390	160	20	with	with	ADP
ejpam-390	160	21	the	the	DET
ejpam-390	160	22	case	case	NOUN
ejpam-390	160	23	when	when	SCONJ
ejpam-390	160	24	a	a	DET
ejpam-390	160	25	=	=	SYM
ejpam-390	160	26	−20,−5	−20,−5	PROPN
ejpam-390	160	27	.	.	PUNCT
ejpam-390	161	1	fig.3	fig.3	PROPN
ejpam-390	161	2	portrays	portray	VERB
ejpam-390	161	3	the	the	DET
ejpam-390	161	4	case	case	NOUN
ejpam-390	161	5	when	when	SCONJ
ejpam-390	161	6	a	a	DET
ejpam-390	161	7	=	=	SYM
ejpam-390	161	8	5,20	5,20	NUM
ejpam-390	161	9	and	and	CCONJ
ejpam-390	161	10	fig.4	fig.4	ADJ
ejpam-390	161	11	deals	deal	NOUN
ejpam-390	161	12	with	with	ADP
ejpam-390	161	13	the	the	DET
ejpam-390	161	14	case	case	NOUN
ejpam-390	161	15	when	when	SCONJ
ejpam-390	161	16	a	a	DET
ejpam-390	161	17	=	=	NOUN
ejpam-390	161	18	90	90	NUM
ejpam-390	161	19	.	.	PUNCT
ejpam-390	161	20	-50	-50	PUNCT
ejpam-390	162	1	-40	-40	PROPN
ejpam-390	162	2	-30	-30	NUM
ejpam-390	162	3	-20	-20	NUM
ejpam-390	162	4	-10	-10	SYM
ejpam-390	162	5	0	0	NUM
ejpam-390	163	1	10	10	NUM
ejpam-390	163	2	20	20	NUM
ejpam-390	163	3	30	30	NUM
ejpam-390	163	4	40	40	NUM
ejpam-390	163	5	50	50	NUM
ejpam-390	163	6	0	0	NUM
ejpam-390	163	7	0.002	0.002	NUM
ejpam-390	163	8	0.004	0.004	NUM
ejpam-390	163	9	0.006	0.006	NUM
ejpam-390	163	10	0.008	0.008	NUM
ejpam-390	163	11	0.01	0.01	NUM
ejpam-390	163	12	0.012	0.012	NUM
ejpam-390	163	13	a=-90,b=.1	a=-90,b=.1	PROPN
ejpam-390	163	14	a=-90,b=1	a=-90,b=1	NOUN
ejpam-390	163	15	a=-90,b=10	a=-90,b=10	PROPN
ejpam-390	163	16	a=-90,b=50	a=-90,b=50	ADJ
ejpam-390	163	17	figure	figure	NOUN
ejpam-390	163	18	1	1	NUM
ejpam-390	163	19	:	:	PUNCT
ejpam-390	163	20	graphs	graph	NOUN
ejpam-390	163	21	of	of	ADP
ejpam-390	163	22	the	the	DET
ejpam-390	163	23	sde1(a	sde1(a	PROPN
ejpam-390	163	24	,	,	PUNCT
ejpam-390	163	25	b	b	NOUN
ejpam-390	163	26	)	)	PUNCT
ejpam-390	163	27	density	density	NOUN
ejpam-390	163	28	fun	fun	NOUN
ejpam-390	163	29	tion	tion	NOUN
ejpam-390	163	30	for	for	ADP
ejpam-390	163	31	a=-90	a=-90	PROPN
ejpam-390	163	32	and	and	CCONJ
ejpam-390	164	1	b	b	X
ejpam-390	164	2	=	=	SYM
ejpam-390	164	3	.1,1,10,50	.1,1,10,50	PROPN
ejpam-390	164	4	.	.	PUNCT
ejpam-390	165	1	remark	remark	PROPN
ejpam-390	165	2	3.1	3.1	NUM
ejpam-390	165	3	.	.	PUNCT
ejpam-390	166	1	appealing	appeal	VERB
ejpam-390	166	2	to	to	ADP
ejpam-390	166	3	the	the	DET
ejpam-390	166	4	fact	fact	NOUN
ejpam-390	166	5	that	that	SCONJ
ejpam-390	166	6	the	the	DET
ejpam-390	166	7	measure	measure	NOUN
ejpam-390	166	8	of	of	ADP
ejpam-390	166	9	skewness	skewness	NOUN
ejpam-390	166	10	of	of	ADP
ejpam-390	166	11	a	a	DET
ejpam-390	166	12	distribution	distribution	NOUN
ejpam-390	166	13	is	be	AUX
ejpam-390	166	14	invariant	invariant	ADJ
ejpam-390	166	15	to	to	ADP
ejpam-390	166	16	changes	change	NOUN
ejpam-390	166	17	of	of	ADP
ejpam-390	166	18	scale	scale	NOUN
ejpam-390	166	19	,	,	PUNCT
ejpam-390	166	20	we	we	PRON
ejpam-390	166	21	can	can	AUX
ejpam-390	166	22	reparametrize	reparametrize	VERB
ejpam-390	166	23	the	the	DET
ejpam-390	166	24	mixing	mixing	NOUN
ejpam-390	166	25	parameters	parameter	NOUN
ejpam-390	166	26	a	a	PRON
ejpam-390	166	27	and	and	CCONJ
ejpam-390	166	28	b	b	NOUN
ejpam-390	166	29	to	to	ADP
ejpam-390	166	30	a	a	DET
ejpam-390	166	31	a2	a2	NOUN
ejpam-390	166	32	+	+	CCONJ
ejpam-390	166	33	b2	b2	NOUN
ejpam-390	166	34	and	and	CCONJ
ejpam-390	166	35	b	b	PROPN
ejpam-390	166	36	a2	a2	PROPN
ejpam-390	166	37	+	+	CCONJ
ejpam-390	166	38	b2	b2	NOUN
ejpam-390	166	39	.	.	PUNCT
ejpam-390	167	1	if	if	SCONJ
ejpam-390	167	2	we	we	PRON
ejpam-390	167	3	substitute	substitute	VERB
ejpam-390	167	4	the	the	DET
ejpam-390	167	5	variable	variable	ADJ
ejpam-390	167	6	"	"	PUNCT
ejpam-390	167	7	c	c	NOUN
ejpam-390	167	8	"	"	PUNCT
ejpam-390	167	9	for	for	ADP
ejpam-390	167	10	a	a	DET
ejpam-390	167	11	a2	a2	PROPN
ejpam-390	167	12	+	+	CCONJ
ejpam-390	167	13	b2	b2	NOUN
ejpam-390	167	14	,	,	PUNCT
ejpam-390	167	15	we	we	PRON
ejpam-390	167	16	obtain	obtain	VERB
ejpam-390	167	17	that	that	DET
ejpam-390	167	18	b	b	PROPN
ejpam-390	167	19	a2	a2	PROPN
ejpam-390	167	20	+	+	CCONJ
ejpam-390	167	21	b2	b2	NOUN
ejpam-390	167	22	=	=	PROPN
ejpam-390	167	23	p	p	PROPN
ejpam-390	167	24	1−	1−	NUM
ejpam-390	167	25	c2	c2	PROPN
ejpam-390	167	26	.	.	PUNCT
ejpam-390	168	1	k.	k.	PROPN
ejpam-390	168	2	jagannathan	jagannathan	PROPN
ejpam-390	168	3	,	,	PUNCT
ejpam-390	168	4	a.	a.	PROPN
ejpam-390	168	5	gupta	gupta	PROPN
ejpam-390	168	6	,	,	PUNCT
ejpam-390	168	7	and	and	CCONJ
ejpam-390	168	8	t.	t.	PROPN
ejpam-390	168	9	nguyen	nguyen	PROPN
ejpam-390	168	10	/	/	SYM
ejpam-390	168	11	eur	eur	PROPN
ejpam-390	168	12	.	.	PUNCT
ejpam-390	169	1	j.	j.	PROPN
ejpam-390	169	2	pure	pure	PROPN
ejpam-390	169	3	appl	appl	PROPN
ejpam-390	169	4	.	.	PROPN
ejpam-390	169	5	math	math	PROPN
ejpam-390	169	6	,	,	PUNCT
ejpam-390	169	7	2	2	NUM
ejpam-390	169	8	(	(	PUNCT
ejpam-390	169	9	2009	2009	NUM
ejpam-390	169	10	)	)	PUNCT
ejpam-390	169	11	,	,	PUNCT
ejpam-390	169	12	(	(	PUNCT
ejpam-390	169	13	1	1	NUM
ejpam-390	169	14	-	-	SYM
ejpam-390	169	15	20	20	NUM
ejpam-390	169	16	)	)	PUNCT
ejpam-390	169	17	9	9	NUM
ejpam-390	169	18	notice	notice	VERB
ejpam-390	169	19	that	that	SCONJ
ejpam-390	169	20	the	the	DET
ejpam-390	169	21	variable	variable	NOUN
ejpam-390	169	22	c	c	PROPN
ejpam-390	169	23	is	be	AUX
ejpam-390	169	24	now	now	ADV
ejpam-390	169	25	bounded	bound	VERB
ejpam-390	169	26	between	between	ADP
ejpam-390	169	27	-1	-1	PUNCT
ejpam-390	169	28	and	and	CCONJ
ejpam-390	169	29	1	1	X
ejpam-390	169	30	.	.	X
ejpam-390	170	1	this	this	DET
ejpam-390	170	2	model	model	NOUN
ejpam-390	170	3	is	be	AUX
ejpam-390	170	4	easier	easy	ADJ
ejpam-390	170	5	to	to	PART
ejpam-390	170	6	use	use	VERB
ejpam-390	170	7	in	in	ADP
ejpam-390	170	8	estimating	estimate	VERB
ejpam-390	170	9	the	the	DET
ejpam-390	170	10	skewness	skewness	NOUN
ejpam-390	170	11	as	as	SCONJ
ejpam-390	170	12	it	it	PRON
ejpam-390	170	13	has	have	VERB
ejpam-390	170	14	the	the	DET
ejpam-390	170	15	advantage	advantage	NOUN
ejpam-390	170	16	of	of	ADP
ejpam-390	170	17	having	have	VERB
ejpam-390	170	18	one	one	NUM
ejpam-390	170	19	less	less	ADJ
ejpam-390	170	20	parameter	parameter	NOUN
ejpam-390	170	21	.	.	PUNCT
ejpam-390	171	1	we	we	PRON
ejpam-390	171	2	present	present	VERB
ejpam-390	171	3	the	the	DET
ejpam-390	171	4	c.d.f	c.d.f	NOUN
ejpam-390	171	5	.	.	PUNCT
ejpam-390	172	1	and	and	CCONJ
ejpam-390	172	2	p.d.f	p.d.f	ADJ
ejpam-390	172	3	.	.	PUNCT
ejpam-390	173	1	of	of	ADP
ejpam-390	173	2	this	this	DET
ejpam-390	173	3	model	model	NOUN
ejpam-390	173	4	in	in	ADP
ejpam-390	173	5	the	the	DET
ejpam-390	173	6	following	follow	VERB
ejpam-390	173	7	theorem	theorem	PROPN
ejpam-390	173	8	.	.	PUNCT
ejpam-390	173	9	theorem	theorem	VERB
ejpam-390	173	10	3.3	3.3	NUM
ejpam-390	173	11	.	.	PUNCT
ejpam-390	174	1	consider	consider	VERB
ejpam-390	174	2	two	two	NUM
ejpam-390	174	3	i.i.d	i.i.d	ADV
ejpam-390	174	4	random	random	ADJ
ejpam-390	174	5	variables	variable	NOUN
ejpam-390	174	6	u	u	NOUN
ejpam-390	174	7	,	,	PUNCT
ejpam-390	174	8	v	v	PRON
ejpam-390	174	9	distributed	distribute	VERB
ejpam-390	174	10	as	as	ADP
ejpam-390	174	11	de(0,1	de(0,1	NOUN
ejpam-390	174	12	)	)	PUNCT
ejpam-390	174	13	.	.	PUNCT
ejpam-390	175	1	then	then	ADV
ejpam-390	175	2	,	,	PUNCT
ejpam-390	175	3	the	the	DET
ejpam-390	175	4	random	random	ADJ
ejpam-390	175	5	variable	variable	NOUN
ejpam-390	175	6	y	y	PROPN
ejpam-390	175	7	defined	define	VERB
ejpam-390	175	8	as	as	ADP
ejpam-390	175	9	c|u	c|u	NOUN
ejpam-390	175	10	|+	|+	NOUN
ejpam-390	176	1	p	p	X
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ejpam-390	176	3	c2v	c2v	NOUN
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ejpam-390	176	9	<	<	X
ejpam-390	176	10	1	1	NUM
ejpam-390	176	11	.	.	PUNCT
ejpam-390	177	1	if	if	SCONJ
ejpam-390	177	2	0	0	NUM
ejpam-390	177	3	<	<	X
ejpam-390	177	4	c	c	X
ejpam-390	177	5	<	<	X
ejpam-390	177	6	1	1	NUM
ejpam-390	177	7	,	,	PUNCT
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ejpam-390	177	10	p	p	PROPN
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ejpam-390	177	14	y	y	PROPN
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ejpam-390	178	3	y	y	NOUN
ejpam-390	178	4	)	)	PUNCT
ejpam-390	178	5	=	=	PUNCT
ejpam-390	179	1			PROPN
ejpam-390	179	2			ADP
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ejpam-390	179	4	p	p	PROPN
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ejpam-390	179	6	2(c+	2(c+	NUM
ejpam-390	179	7	p	p	PROPN
ejpam-390	179	8	1−c2	1−c2	NUM
ejpam-390	179	9	)	)	PUNCT
ejpam-390	179	10	e	e	NOUN
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ejpam-390	179	12	p	p	PROPN
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ejpam-390	179	14	,	,	PUNCT
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ejpam-390	180	2	y	y	NOUN
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ejpam-390	180	4	0	0	NUM
ejpam-390	180	5	1	1	NUM
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ejpam-390	180	7	c2	c2	PROPN
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ejpam-390	180	9	e−y	e−y	PROPN
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ejpam-390	180	15	2	2	NUM
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ejpam-390	180	17	p	p	PROPN
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ejpam-390	180	19	)	)	PUNCT
ejpam-390	180	20	e−y/	e−y/	NOUN
ejpam-390	180	21	p	p	PROPN
ejpam-390	180	22	1−c2	1−c2	NUM
ejpam-390	180	23	,	,	PUNCT
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ejpam-390	180	26	y	y	PROPN
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ejpam-390	180	28	0	0	NUM
ejpam-390	180	29	and	and	CCONJ
ejpam-390	180	30	it	it	PRON
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ejpam-390	180	32	p.d.f	p.d.f	ADJ
ejpam-390	180	33	.	.	PUNCT
ejpam-390	180	34	is	be	AUX
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ejpam-390	180	36	by	by	ADP
ejpam-390	180	37	fy	fy	PROPN
ejpam-390	180	38	(	(	PUNCT
ejpam-390	180	39	y	y	NOUN
ejpam-390	180	40	)	)	PUNCT
ejpam-390	180	41	=	=	PUNCT
ejpam-390	181	1			PROPN
ejpam-390	181	2			X
ejpam-390	181	3			ADJ
ejpam-390	181	4	e	e	NOUN
ejpam-390	181	5	y/	y/	NOUN
ejpam-390	181	6	p	p	PROPN
ejpam-390	181	7	1−c2	1−c2	NUM
ejpam-390	181	8	2(c+	2(c+	NUM
ejpam-390	181	9	p	p	PROPN
ejpam-390	181	10	1−c2	1−c2	NUM
ejpam-390	181	11	)	)	PUNCT
ejpam-390	181	12	,	,	PUNCT
ejpam-390	182	1	i	i	PRON
ejpam-390	182	2	f	f	VERB
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ejpam-390	182	4	<	<	X
ejpam-390	182	5	0	0	NUM
ejpam-390	182	6	e−y/	e−y/	ADJ
ejpam-390	182	7	p	p	PROPN
ejpam-390	182	8	1−c2	1−c2	NUM
ejpam-390	182	9	2	2	NUM
ejpam-390	182	10	(	(	PUNCT
ejpam-390	182	11	p	p	PROPN
ejpam-390	182	12	1−c2−c	1−c2−c	NUM
ejpam-390	182	13	)	)	PUNCT
ejpam-390	182	14	−	−	PROPN
ejpam-390	183	1	c	c	NOUN
ejpam-390	183	2	(	(	PUNCT
ejpam-390	183	3	1−2c2	1−2c2	NUM
ejpam-390	183	4	)	)	PUNCT
ejpam-390	183	5	e−y	e−y	PROPN
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ejpam-390	183	7	c	c	NOUN
ejpam-390	183	8	,	,	PUNCT
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ejpam-390	184	2	f	f	VERB
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ejpam-390	184	5	0	0	NUM
ejpam-390	184	6	.	.	PUNCT
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ejpam-390	185	2	−1	−1	NOUN
ejpam-390	185	3	<	<	X
ejpam-390	185	4	c	c	X
ejpam-390	185	5	<	<	X
ejpam-390	185	6	0	0	NUM
ejpam-390	185	7	,	,	PUNCT
ejpam-390	186	1	c	c	PROPN
ejpam-390	186	2	6=	6=	PROPN
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ejpam-390	186	5	1/2	1/2	NUM
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ejpam-390	186	8	y	y	PROPN
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ejpam-390	186	11	.	.	PUNCT
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ejpam-390	187	3	y	y	NOUN
ejpam-390	187	4	)	)	PUNCT
ejpam-390	187	5	=	=	PUNCT
ejpam-390	188	1			PROPN
ejpam-390	188	2			ADP
ejpam-390	188	3			NOUN
ejpam-390	188	4	p	p	PROPN
ejpam-390	188	5	1−c2	1−c2	NUM
ejpam-390	188	6	2(c+	2(c+	NUM
ejpam-390	188	7	p	p	PROPN
ejpam-390	188	8	1−c2	1−c2	NUM
ejpam-390	188	9	)	)	PUNCT
ejpam-390	188	10	e	e	NOUN
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ejpam-390	188	12	p	p	PROPN
ejpam-390	188	13	1−c2	1−c2	NUM
ejpam-390	188	14	−	−	PROPN
ejpam-390	188	15	c2	c2	PROPN
ejpam-390	188	16	1−2c2	1−2c2	NUM
ejpam-390	188	17	e−y	e−y	PROPN
ejpam-390	188	18	/	/	SYM
ejpam-390	188	19	c	c	NOUN
ejpam-390	188	20	,	,	PUNCT
ejpam-390	188	21	i	i	PRON
ejpam-390	189	1	f	f	VERB
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ejpam-390	189	4	0	0	NUM
ejpam-390	189	5	1−	1−	NUM
ejpam-390	189	6	p	p	PROPN
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ejpam-390	189	8	2	2	NUM
ejpam-390	189	9	(	(	PUNCT
ejpam-390	189	10	p	p	PROPN
ejpam-390	189	11	1−c2−c	1−c2−c	NUM
ejpam-390	189	12	)	)	PUNCT
ejpam-390	189	13	e−y/	e−y/	NOUN
ejpam-390	189	14	p	p	PROPN
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ejpam-390	189	16	,	,	PUNCT
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ejpam-390	189	18	f	f	VERB
ejpam-390	189	19	y	y	PROPN
ejpam-390	189	20	≥	≥	NUM
ejpam-390	189	21	0	0	NUM
ejpam-390	190	1	and	and	CCONJ
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ejpam-390	190	5	.	.	PUNCT
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ejpam-390	190	8	by	by	ADP
ejpam-390	190	9	fy	fy	PROPN
ejpam-390	190	10	(	(	PUNCT
ejpam-390	190	11	y	y	NOUN
ejpam-390	190	12	)	)	PUNCT
ejpam-390	190	13	=	=	PUNCT
ejpam-390	191	1			PROPN
ejpam-390	191	2			X
ejpam-390	191	3			ADJ
ejpam-390	191	4	e	e	NOUN
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ejpam-390	191	6	p	p	PROPN
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ejpam-390	191	8	2(c+	2(c+	NUM
ejpam-390	191	9	p	p	PROPN
ejpam-390	191	10	1−c2	1−c2	NUM
ejpam-390	191	11	)	)	PUNCT
ejpam-390	192	1	+	+	CCONJ
ejpam-390	192	2	c	c	X
ejpam-390	192	3	(	(	PUNCT
ejpam-390	192	4	1−2c2	1−2c2	NUM
ejpam-390	192	5	)	)	PUNCT
ejpam-390	192	6	e−y	e−y	PROPN
ejpam-390	192	7	/	/	SYM
ejpam-390	192	8	c	c	NOUN
ejpam-390	192	9	,	,	PUNCT
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ejpam-390	192	11	f	f	VERB
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ejpam-390	192	13	<	<	X
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ejpam-390	192	18	2	2	NUM
ejpam-390	192	19	(	(	PUNCT
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ejpam-390	192	22	)	)	PUNCT
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ejpam-390	194	8	y	y	PROPN
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ejpam-390	194	11	.	.	PUNCT
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ejpam-390	195	3	y	y	NOUN
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ejpam-390	195	5	=	=	PUNCT
ejpam-390	196	1			PROPN
ejpam-390	196	2			ADP
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ejpam-390	196	4	1	1	NUM
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ejpam-390	196	13	<	<	X
ejpam-390	196	14	0	0	PROPN
ejpam-390	196	15	1−	1−	NUM
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ejpam-390	196	20	p	p	NOUN
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ejpam-390	196	22	2	2	NUM
ejpam-390	196	23	p	p	SYM
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ejpam-390	196	34	0	0	NUM
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ejpam-390	197	10	(	(	PUNCT
ejpam-390	197	11	y	y	NOUN
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ejpam-390	197	13	=	=	PUNCT
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ejpam-390	198	25	p	p	PROPN
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ejpam-390	198	33	.	.	PUNCT
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ejpam-390	200	8	(	(	PUNCT
ejpam-390	200	9	2009	2009	NUM
ejpam-390	200	10	)	)	PUNCT
ejpam-390	200	11	,	,	PUNCT
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ejpam-390	200	15	20	20	NUM
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ejpam-390	200	17	10	10	NUM
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ejpam-390	200	20	=	=	PUNCT
ejpam-390	200	21	−	−	PROPN
ejpam-390	200	22	p	p	PROPN
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ejpam-390	200	29	.	.	PUNCT
ejpam-390	201	1	fy	fy	PROPN
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ejpam-390	201	3	y	y	NOUN
ejpam-390	201	4	)	)	PUNCT
ejpam-390	201	5	=	=	PUNCT
ejpam-390	202	1			PROPN
ejpam-390	202	2			ADP
ejpam-390	202	3			PROPN
ejpam-390	202	4	�	�	PROPN
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ejpam-390	203	5	1−	1−	NUM
ejpam-390	203	6	1	1	NUM
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ejpam-390	203	8	e−	e−	X
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ejpam-390	204	5	0	0	NUM
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ejpam-390	205	7	given	give	VERB
ejpam-390	205	8	by	by	ADP
ejpam-390	205	9	fy	fy	PROPN
ejpam-390	205	10	(	(	PUNCT
ejpam-390	205	11	y	y	NOUN
ejpam-390	205	12	)	)	PUNCT
ejpam-390	205	13	=	=	PUNCT
ejpam-390	206	1			PROPN
ejpam-390	206	2			ADP
ejpam-390	206	3			PROPN
ejpam-390	206	4	�	�	PROPN
ejpam-390	206	5	1−2	1−2	NUM
ejpam-390	206	6	p	p	X
ejpam-390	206	7	2y	2y	NUM
ejpam-390	206	8	2	2	NUM
ejpam-390	206	9	p	p	SYM
ejpam-390	206	10	2	2	NUM
ejpam-390	206	11	�	�	NOUN
ejpam-390	206	12	e	e	NOUN
ejpam-390	206	13	p	p	NOUN
ejpam-390	206	14	2y	2y	PROPN
ejpam-390	206	15	,	,	PUNCT
ejpam-390	206	16	i	i	PRON
ejpam-390	207	1	f	f	VERB
ejpam-390	207	2	y	y	NOUN
ejpam-390	207	3	<	<	X
ejpam-390	207	4	0	0	NUM
ejpam-390	207	5	1	1	NUM
ejpam-390	207	6	2	2	NUM
ejpam-390	207	7	p	p	NOUN
ejpam-390	207	8	2	2	NUM
ejpam-390	207	9	e−	e−	NOUN
ejpam-390	207	10	p	p	NOUN
ejpam-390	207	11	2y	2y	PROPN
ejpam-390	207	12	,	,	PUNCT
ejpam-390	208	1	i	i	PRON
ejpam-390	208	2	f	f	VERB
ejpam-390	208	3	y	y	PROPN
ejpam-390	208	4	≥	≥	PROPN
ejpam-390	208	5	0	0	NUM
ejpam-390	208	6	.	.	PUNCT
ejpam-390	209	1	remark	remark	PROPN
ejpam-390	209	2	3.2	3.2	NUM
ejpam-390	209	3	.	.	PUNCT
ejpam-390	210	1	notice	notice	VERB
ejpam-390	210	2	that	that	SCONJ
ejpam-390	210	3	the	the	DET
ejpam-390	210	4	proofs	proof	NOUN
ejpam-390	210	5	of	of	ADP
ejpam-390	210	6	the	the	DET
ejpam-390	210	7	above	above	ADJ
ejpam-390	210	8	theorems	theorem	NOUN
ejpam-390	210	9	mirror	mirror	VERB
ejpam-390	210	10	the	the	DET
ejpam-390	210	11	proofs	proof	NOUN
ejpam-390	210	12	of	of	ADP
ejpam-390	210	13	theorem	theorem	ADJ
ejpam-390	210	14	3.1	3.1	NUM
ejpam-390	210	15	and	and	CCONJ
ejpam-390	210	16	theorem	theorem	VERB
ejpam-390	210	17	3.2	3.2	NUM
ejpam-390	210	18	respectively	respectively	ADV
ejpam-390	210	19	.	.	PUNCT
ejpam-390	211	1	further	far	ADV
ejpam-390	211	2	,	,	PUNCT
ejpam-390	211	3	the	the	DET
ejpam-390	211	4	generalizations	generalization	NOUN
ejpam-390	211	5	that	that	PRON
ejpam-390	211	6	were	be	AUX
ejpam-390	211	7	made	make	VERB
ejpam-390	211	8	following	follow	VERB
ejpam-390	211	9	theorem	theorem	VERB
ejpam-390	211	10	3.1	3.1	NUM
ejpam-390	211	11	and	and	CCONJ
ejpam-390	211	12	theorem	theorem	VERB
ejpam-390	211	13	3.2	3.2	NUM
ejpam-390	211	14	can	can	AUX
ejpam-390	211	15	also	also	ADV
ejpam-390	211	16	be	be	AUX
ejpam-390	211	17	made	make	VERB
ejpam-390	211	18	in	in	ADP
ejpam-390	211	19	this	this	DET
ejpam-390	211	20	incarnation	incarnation	NOUN
ejpam-390	211	21	of	of	ADP
ejpam-390	211	22	the	the	DET
ejpam-390	211	23	sde1	sde1	NOUN
ejpam-390	211	24	distribution	distribution	NOUN
ejpam-390	211	25	.	.	PUNCT
ejpam-390	212	1	4	4	X
ejpam-390	212	2	.	.	X
ejpam-390	212	3	the	the	DET
ejpam-390	212	4	sde2	sde2	PROPN
ejpam-390	212	5	distribution	distribution	NOUN
ejpam-390	212	6	:	:	PUNCT
ejpam-390	212	7	definition	definition	NOUN
ejpam-390	212	8	and	and	CCONJ
ejpam-390	212	9	stochastic	stochastic	ADJ
ejpam-390	212	10	representation	representation	NOUN
ejpam-390	212	11	azzalini(1985	azzalini(1985	NOUN
ejpam-390	212	12	)	)	PUNCT
ejpam-390	212	13	introduced	introduce	VERB
ejpam-390	212	14	the	the	DET
ejpam-390	212	15	skew	skew	ADJ
ejpam-390	212	16	-	-	PUNCT
ejpam-390	212	17	normal	normal	ADJ
ejpam-390	212	18	distribution	distribution	NOUN
ejpam-390	212	19	,	,	PUNCT
ejpam-390	212	20	i.e	i.e	PROPN
ejpam-390	212	21	(	(	PUNCT
ejpam-390	212	22	fy	fy	PROPN
ejpam-390	212	23	(	(	PUNCT
ejpam-390	212	24	y	y	NOUN
ejpam-390	212	25	)	)	PUNCT
ejpam-390	212	26	=	=	SYM
ejpam-390	213	1	2φx	2φx	NOUN
ejpam-390	213	2	(	(	PUNCT
ejpam-390	213	3	y)φx	y)φx	PROPN
ejpam-390	213	4	(	(	PUNCT
ejpam-390	213	5	λy	λy	PROPN
ejpam-390	213	6	)	)	PUNCT
ejpam-390	213	7	)	)	PUNCT
ejpam-390	213	8	where	where	SCONJ
ejpam-390	213	9	φ	φ	PROPN
ejpam-390	213	10	and	and	CCONJ
ejpam-390	213	11	φ	φ	PROPN
ejpam-390	213	12	represent	represent	VERB
ejpam-390	213	13	the	the	DET
ejpam-390	213	14	standard	standard	ADJ
ejpam-390	213	15	normal	normal	ADJ
ejpam-390	213	16	p.d.f	p.d.f	NOUN
ejpam-390	213	17	.	.	PUNCT
ejpam-390	213	18	and	and	CCONJ
ejpam-390	213	19	c.d.f	c.d.f	ADJ
ejpam-390	213	20	.	.	NOUN
ejpam-390	213	21	respectively	respectively	ADV
ejpam-390	213	22	.	.	PUNCT
ejpam-390	214	1	although	although	SCONJ
ejpam-390	214	2	credit	credit	NOUN
ejpam-390	214	3	is	be	AUX
ejpam-390	214	4	given	give	VERB
ejpam-390	214	5	to	to	ADP
ejpam-390	214	6	azzalini	azzalini	PROPN
ejpam-390	214	7	,	,	PUNCT
ejpam-390	214	8	roberts(1966	roberts(1966	NUM
ejpam-390	214	9	)	)	PUNCT
ejpam-390	214	10	had	have	AUX
ejpam-390	214	11	already	already	ADV
ejpam-390	214	12	used	use	VERB
ejpam-390	214	13	this	this	DET
ejpam-390	214	14	distribution	distribution	NOUN
ejpam-390	214	15	in	in	ADP
ejpam-390	214	16	studying	study	VERB
ejpam-390	214	17	twin	twin	ADJ
ejpam-390	214	18	data	datum	NOUN
ejpam-390	214	19	.	.	PUNCT
ejpam-390	215	1	gupta	gupta	PROPN
ejpam-390	215	2	,	,	PUNCT
ejpam-390	215	3	nguyen	nguyen	NOUN
ejpam-390	215	4	and	and	CCONJ
ejpam-390	215	5	sanqui(2004	sanqui(2004	NOUN
ejpam-390	215	6	)	)	PUNCT
ejpam-390	215	7	have	have	AUX
ejpam-390	215	8	given	give	VERB
ejpam-390	215	9	a	a	DET
ejpam-390	215	10	characterization	characterization	NOUN
ejpam-390	215	11	of	of	ADP
ejpam-390	215	12	this	this	DET
ejpam-390	215	13	distribution	distribution	NOUN
ejpam-390	215	14	.	.	PUNCT
ejpam-390	216	1	azzalini	azzalini	PROPN
ejpam-390	216	2	however	however	ADV
ejpam-390	216	3	,	,	PUNCT
ejpam-390	216	4	introduced	introduce	VERB
ejpam-390	216	5	a	a	DET
ejpam-390	216	6	way	way	NOUN
ejpam-390	216	7	to	to	PART
ejpam-390	216	8	"	"	PUNCT
ejpam-390	216	9	skew	skew	VERB
ejpam-390	216	10	"	"	PUNCT
ejpam-390	216	11	symmetric	symmetric	ADJ
ejpam-390	216	12	distributions	distribution	NOUN
ejpam-390	216	13	by	by	ADP
ejpam-390	216	14	considering	consider	VERB
ejpam-390	216	15	similar	similar	ADJ
ejpam-390	216	16	products	product	NOUN
ejpam-390	216	17	of	of	ADP
ejpam-390	216	18	p.d.f	p.d.f	NOUN
ejpam-390	216	19	.	.	PROPN
ejpam-390	216	20	’s	’s	PART
ejpam-390	216	21	and	and	CCONJ
ejpam-390	216	22	c.d.f	c.d.f	ADJ
ejpam-390	216	23	.	.	PROPN
ejpam-390	216	24	’s	’s	PART
ejpam-390	216	25	of	of	ADP
ejpam-390	216	26	symmetric	symmetric	ADJ
ejpam-390	216	27	distributions	distribution	NOUN
ejpam-390	216	28	.	.	PUNCT
ejpam-390	217	1	also	also	ADV
ejpam-390	217	2	see	see	VERB
ejpam-390	217	3	gupta	gupta	PROPN
ejpam-390	217	4	et	et	NOUN
ejpam-390	217	5	al.(2002	al.(2002	NOUN
ejpam-390	217	6	)	)	PUNCT
ejpam-390	217	7	and	and	CCONJ
ejpam-390	217	8	gupta	gupta	PROPN
ejpam-390	217	9	and	and	CCONJ
ejpam-390	217	10	chang(2003	chang(2003	NOUN
ejpam-390	217	11	)	)	PUNCT
ejpam-390	217	12	.	.	PUNCT
ejpam-390	218	1	we	we	PRON
ejpam-390	218	2	can	can	AUX
ejpam-390	218	3	utilize	utilize	VERB
ejpam-390	218	4	azzalini	azzalini	PROPN
ejpam-390	218	5	’s	’s	PART
ejpam-390	218	6	method	method	NOUN
ejpam-390	218	7	to	to	PART
ejpam-390	218	8	produce	produce	VERB
ejpam-390	218	9	the	the	DET
ejpam-390	218	10	sde2	sde2	PROPN
ejpam-390	218	11	distributions	distribution	NOUN
ejpam-390	218	12	.	.	PUNCT
ejpam-390	219	1	before	before	ADP
ejpam-390	219	2	presenting	present	VERB
ejpam-390	219	3	the	the	DET
ejpam-390	219	4	c.d.f	c.d.f	NOUN
ejpam-390	219	5	.	.	PUNCT
ejpam-390	220	1	and	and	CCONJ
ejpam-390	220	2	p.d.f	p.d.f	ADJ
ejpam-390	220	3	.	.	PUNCT
ejpam-390	220	4	of	of	ADP
ejpam-390	220	5	the	the	DET
ejpam-390	220	6	sde2	sde2	NOUN
ejpam-390	220	7	distribution	distribution	NOUN
ejpam-390	220	8	,	,	PUNCT
ejpam-390	220	9	we	we	PRON
ejpam-390	220	10	state	state	VERB
ejpam-390	220	11	the	the	DET
ejpam-390	220	12	following	follow	VERB
ejpam-390	220	13	(	(	PUNCT
ejpam-390	220	14	azzalini(1985	azzalini(1985	NUM
ejpam-390	220	15	)	)	PUNCT
ejpam-390	220	16	,	,	PUNCT
ejpam-390	220	17	gupta	gupta	PROPN
ejpam-390	220	18	et	et	PROPN
ejpam-390	220	19	.	.	PUNCT
ejpam-390	220	20	al.(2002	al.(2002	NOUN
ejpam-390	220	21	)	)	PUNCT
ejpam-390	220	22	)	)	PUNCT
ejpam-390	221	1	lemma	lemma	PROPN
ejpam-390	221	2	4.1	4.1	NUM
ejpam-390	221	3	.	.	PUNCT
ejpam-390	222	1	let	let	VERB
ejpam-390	222	2	f	f	PRON
ejpam-390	222	3	be	be	AUX
ejpam-390	222	4	a	a	DET
ejpam-390	222	5	density	density	NOUN
ejpam-390	222	6	function	function	NOUN
ejpam-390	222	7	symmetric	symmetric	ADJ
ejpam-390	222	8	about	about	ADP
ejpam-390	222	9	0	0	NUM
ejpam-390	222	10	,	,	PUNCT
ejpam-390	222	11	and	and	CCONJ
ejpam-390	222	12	g	g	ADP
ejpam-390	222	13	an	an	DET
ejpam-390	222	14	absolutely	absolutely	ADV
ejpam-390	222	15	continuous	continuous	ADJ
ejpam-390	222	16	distribution	distribution	NOUN
ejpam-390	222	17	function	function	NOUN
ejpam-390	222	18	such	such	ADJ
ejpam-390	222	19	that	that	SCONJ
ejpam-390	222	20	g	g	NOUN
ejpam-390	222	21	’	'	PUNCT
ejpam-390	222	22	is	be	AUX
ejpam-390	222	23	symmetric	symmetric	ADJ
ejpam-390	222	24	about	about	ADP
ejpam-390	222	25	0	0	NUM
ejpam-390	222	26	.	.	PUNCT
ejpam-390	223	1	then	then	ADV
ejpam-390	223	2	,	,	PUNCT
ejpam-390	223	3	2	2	NUM
ejpam-390	223	4	f	f	X
ejpam-390	223	5	(	(	PUNCT
ejpam-390	223	6	y)g(λy	y)g(λy	NUM
ejpam-390	223	7	)	)	PUNCT
ejpam-390	223	8	(	(	PUNCT
ejpam-390	223	9	−∞	−∞	X
ejpam-390	223	10	<	<	X
ejpam-390	223	11	y	y	PROPN
ejpam-390	223	12	<	<	X
ejpam-390	223	13	∞	∞	PROPN
ejpam-390	223	14	)	)	PUNCT
ejpam-390	223	15	(	(	PUNCT
ejpam-390	223	16	4.1	4.1	NUM
ejpam-390	223	17	)	)	PUNCT
ejpam-390	223	18	is	be	AUX
ejpam-390	223	19	a	a	DET
ejpam-390	223	20	density	density	NOUN
ejpam-390	223	21	function	function	NOUN
ejpam-390	223	22	for	for	ADP
ejpam-390	223	23	any	any	DET
ejpam-390	223	24	real	real	ADJ
ejpam-390	223	25	λ	λ	PROPN
ejpam-390	223	26	.	.	PUNCT
ejpam-390	223	27	k.	k.	PROPN
ejpam-390	223	28	jagannathan	jagannathan	PROPN
ejpam-390	223	29	,	,	PUNCT
ejpam-390	223	30	a.	a.	PROPN
ejpam-390	223	31	gupta	gupta	PROPN
ejpam-390	223	32	,	,	PUNCT
ejpam-390	223	33	and	and	CCONJ
ejpam-390	223	34	t.	t.	PROPN
ejpam-390	223	35	nguyen	nguyen	PROPN
ejpam-390	223	36	/	/	SYM
ejpam-390	223	37	eur	eur	PROPN
ejpam-390	223	38	.	.	PUNCT
ejpam-390	224	1	j.	j.	PROPN
ejpam-390	224	2	pure	pure	PROPN
ejpam-390	224	3	appl	appl	PROPN
ejpam-390	224	4	.	.	PROPN
ejpam-390	224	5	math	math	PROPN
ejpam-390	224	6	,	,	PUNCT
ejpam-390	224	7	2	2	NUM
ejpam-390	224	8	(	(	PUNCT
ejpam-390	224	9	2009	2009	NUM
ejpam-390	224	10	)	)	PUNCT
ejpam-390	224	11	,	,	PUNCT
ejpam-390	224	12	(	(	PUNCT
ejpam-390	224	13	1	1	NUM
ejpam-390	224	14	-	-	SYM
ejpam-390	224	15	20	20	NUM
ejpam-390	224	16	)	)	PUNCT
ejpam-390	224	17	11	11	NUM
ejpam-390	224	18	the	the	DET
ejpam-390	224	19	above	above	ADJ
ejpam-390	224	20	result	result	NOUN
ejpam-390	224	21	is	be	AUX
ejpam-390	224	22	used	use	VERB
ejpam-390	224	23	in	in	ADP
ejpam-390	224	24	the	the	DET
ejpam-390	224	25	proof	proof	NOUN
ejpam-390	224	26	of	of	ADP
ejpam-390	224	27	the	the	DET
ejpam-390	224	28	following	follow	VERB
ejpam-390	224	29	result	result	NOUN
ejpam-390	224	30	.	.	PUNCT
ejpam-390	225	1	theorem	theorem	VERB
ejpam-390	225	2	4.1	4.1	NUM
ejpam-390	225	3	.	.	PUNCT
ejpam-390	226	1	gupta	gupta	PROPN
ejpam-390	226	2	et	et	PROPN
ejpam-390	226	3	al	al	PROPN
ejpam-390	226	4	.	.	PROPN
ejpam-390	227	1	(	(	PUNCT
ejpam-390	227	2	2002	2002	NUM
ejpam-390	227	3	)	)	PUNCT
ejpam-390	227	4	consider	consider	VERB
ejpam-390	227	5	a	a	DET
ejpam-390	227	6	random	random	ADJ
ejpam-390	227	7	variable	variable	NOUN
ejpam-390	227	8	x	x	NOUN
ejpam-390	227	9	∼	∼	NOUN
ejpam-390	227	10	de(0,1	de(0,1	NOUN
ejpam-390	227	11	)	)	PUNCT
ejpam-390	227	12	.	.	PUNCT
ejpam-390	228	1	then	then	ADV
ejpam-390	228	2	,	,	PUNCT
ejpam-390	228	3	the	the	DET
ejpam-390	228	4	variable	variable	ADJ
ejpam-390	228	5	y	y	PROPN
ejpam-390	228	6	with	with	ADP
ejpam-390	228	7	p.d.f	p.d.f	NOUN
ejpam-390	228	8	.	.	PROPN
ejpam-390	228	9	defined	define	VERB
ejpam-390	228	10	as	as	ADP
ejpam-390	228	11	fy	fy	PROPN
ejpam-390	228	12	(	(	PUNCT
ejpam-390	228	13	y	y	NOUN
ejpam-390	228	14	)	)	PUNCT
ejpam-390	228	15	=	=	SYM
ejpam-390	228	16	2	2	NUM
ejpam-390	228	17	fx	fx	NOUN
ejpam-390	228	18	(	(	PUNCT
ejpam-390	228	19	y)fx	y)fx	PROPN
ejpam-390	228	20	(	(	PUNCT
ejpam-390	228	21	λy	λy	PROPN
ejpam-390	228	22	)	)	PUNCT
ejpam-390	228	23	,	,	PUNCT
ejpam-390	228	24	for	for	SCONJ
ejpam-390	228	25	λ	λ	PROPN
ejpam-390	228	26	∈	∈	NOUN
ejpam-390	228	27	r	r	NOUN
ejpam-390	228	28	has	have	VERB
ejpam-390	228	29	the	the	DET
ejpam-390	228	30	p.d.f	p.d.f	NOUN
ejpam-390	228	31	.	.	PUNCT
ejpam-390	229	1	given	give	VERB
ejpam-390	229	2	by	by	ADP
ejpam-390	229	3	fy	fy	PROPN
ejpam-390	229	4	(	(	PUNCT
ejpam-390	229	5	y	y	NOUN
ejpam-390	229	6	)	)	PUNCT
ejpam-390	229	7	=	=	SYM
ejpam-390	229	8	1	1	NUM
ejpam-390	229	9	2	2	NUM
ejpam-390	229	10	e−|y|	e−|y|	NOUN
ejpam-390	229	11	�	�	NOUN
ejpam-390	229	12	1	1	NUM
ejpam-390	229	13	+	+	NUM
ejpam-390	229	14	si	si	X
ejpam-390	229	15	gn(λy)(1−	gn(λy)(1−	ADJ
ejpam-390	229	16	e−|λy|	e−|λy|	PROPN
ejpam-390	229	17	)	)	PUNCT
ejpam-390	229	18	�	�	PROPN
ejpam-390	229	19	if	if	SCONJ
ejpam-390	229	20	y	y	PROPN
ejpam-390	229	21	has	have	VERB
ejpam-390	229	22	the	the	DET
ejpam-390	229	23	form	form	NOUN
ejpam-390	229	24	above	above	ADV
ejpam-390	229	25	,	,	PUNCT
ejpam-390	229	26	we	we	PRON
ejpam-390	229	27	will	will	AUX
ejpam-390	229	28	say	say	VERB
ejpam-390	229	29	y	y	PROPN
ejpam-390	229	30	∼	∼	VERB
ejpam-390	229	31	sde2(λ	sde2(λ	NOUN
ejpam-390	229	32	)	)	PUNCT
ejpam-390	229	33	.	.	PUNCT
ejpam-390	230	1	graphs	graph	NOUN
ejpam-390	230	2	of	of	ADP
ejpam-390	230	3	the	the	DET
ejpam-390	230	4	sde2(λ	sde2(λ	NOUN
ejpam-390	230	5	)	)	PUNCT
ejpam-390	230	6	density	density	NOUN
ejpam-390	230	7	function	function	NOUN
ejpam-390	230	8	for	for	ADP
ejpam-390	230	9	values	value	NOUN
ejpam-390	230	10	of	of	ADP
ejpam-390	230	11	λ	λ	NOUN
ejpam-390	230	12	=	=	SYM
ejpam-390	230	13	−100,−50,−10,−1,1,10,50,100	−100,−50,−10,−1,1,10,50,100	NOUN
ejpam-390	230	14	are	be	AUX
ejpam-390	230	15	given	give	VERB
ejpam-390	230	16	in	in	ADP
ejpam-390	230	17	fig	fig	NOUN
ejpam-390	230	18	.	.	PUNCT
ejpam-390	231	1	5	5	X
ejpam-390	231	2	.	.	X
ejpam-390	231	3	definiton	definiton	PROPN
ejpam-390	231	4	2	2	NUM
ejpam-390	231	5	.	.	PUNCT
ejpam-390	231	6	generator	generator	NOUN
ejpam-390	231	7	of	of	ADP
ejpam-390	231	8	sde2(λ	sde2(λ	NOUN
ejpam-390	231	9	)	)	PUNCT
ejpam-390	231	10	.	.	PUNCT
ejpam-390	232	1	a	a	DET
ejpam-390	232	2	distribution	distribution	NOUN
ejpam-390	232	3	function	function	NOUN
ejpam-390	232	4	f	f	PROPN
ejpam-390	232	5	is	be	AUX
ejpam-390	232	6	said	say	VERB
ejpam-390	232	7	to	to	PART
ejpam-390	232	8	be	be	AUX
ejpam-390	232	9	a	a	DET
ejpam-390	232	10	generator	generator	NOUN
ejpam-390	232	11	of	of	ADP
ejpam-390	232	12	the	the	DET
ejpam-390	232	13	sde2(λ	sde2(λ	NOUN
ejpam-390	232	14	)	)	PUNCT
ejpam-390	232	15	distribution	distribution	NOUN
ejpam-390	232	16	if	if	SCONJ
ejpam-390	232	17	the	the	DET
ejpam-390	232	18	function	function	NOUN
ejpam-390	232	19	2	2	NUM
ejpam-390	232	20	f	f	PROPN
ejpam-390	232	21	(	(	PUNCT
ejpam-390	232	22	·	·	PUNCT
ejpam-390	232	23	)	)	PUNCT
ejpam-390	232	24	f(λ	f(λ	PROPN
ejpam-390	232	25	·	·	PUNCT
ejpam-390	232	26	)	)	PUNCT
ejpam-390	232	27	,	,	PUNCT
ejpam-390	232	28	where	where	SCONJ
ejpam-390	232	29	f	f	PROPN
ejpam-390	232	30	(	(	PUNCT
ejpam-390	232	31	·	·	PUNCT
ejpam-390	232	32	)	)	PUNCT
ejpam-390	232	33	is	be	AUX
ejpam-390	232	34	the	the	DET
ejpam-390	232	35	p.d.f	p.d.f	NOUN
ejpam-390	232	36	.	.	PUNCT
ejpam-390	232	37	of	of	ADP
ejpam-390	232	38	the	the	DET
ejpam-390	232	39	distribution	distribution	NOUN
ejpam-390	232	40	function	function	NOUN
ejpam-390	232	41	f	f	PROPN
ejpam-390	232	42	,	,	PUNCT
ejpam-390	232	43	is	be	AUX
ejpam-390	232	44	the	the	DET
ejpam-390	232	45	density	density	NOUN
ejpam-390	232	46	function	function	NOUN
ejpam-390	232	47	of	of	ADP
ejpam-390	232	48	the	the	DET
ejpam-390	232	49	sde2(λ	sde2(λ	NOUN
ejpam-390	232	50	)	)	PUNCT
ejpam-390	232	51	distribution	distribution	NOUN
ejpam-390	232	52	.	.	PUNCT
ejpam-390	233	1	the	the	DET
ejpam-390	233	2	following	follow	VERB
ejpam-390	233	3	theorem	theorem	NOUN
ejpam-390	233	4	is	be	AUX
ejpam-390	233	5	a	a	DET
ejpam-390	233	6	statement	statement	NOUN
ejpam-390	233	7	of	of	ADP
ejpam-390	233	8	the	the	DET
ejpam-390	233	9	uniqueness	uniqueness	NOUN
ejpam-390	233	10	of	of	ADP
ejpam-390	233	11	the	the	DET
ejpam-390	233	12	generator	generator	NOUN
ejpam-390	233	13	of	of	ADP
ejpam-390	233	14	the	the	DET
ejpam-390	233	15	sde2(λ	sde2(λ	NOUN
ejpam-390	233	16	)	)	PUNCT
ejpam-390	233	17	family	family	NOUN
ejpam-390	233	18	of	of	ADP
ejpam-390	233	19	distributions	distribution	NOUN
ejpam-390	233	20	.	.	PUNCT
ejpam-390	234	1	theorem	theorem	VERB
ejpam-390	234	2	4.2	4.2	NUM
ejpam-390	234	3	.	.	PUNCT
ejpam-390	235	1	the	the	DET
ejpam-390	235	2	double	double	ADJ
ejpam-390	235	3	exponential	exponential	ADJ
ejpam-390	235	4	distribution	distribution	NOUN
ejpam-390	235	5	is	be	AUX
ejpam-390	235	6	the	the	DET
ejpam-390	235	7	unique	unique	ADJ
ejpam-390	235	8	generator	generator	NOUN
ejpam-390	235	9	of	of	ADP
ejpam-390	235	10	the	the	DET
ejpam-390	235	11	sde2(λ	sde2(λ	ADJ
ejpam-390	235	12	)	)	PUNCT
ejpam-390	235	13	distribution	distribution	NOUN
ejpam-390	235	14	.	.	PUNCT
ejpam-390	236	1	proof	proof	NOUN
ejpam-390	236	2	.	.	PUNCT
ejpam-390	237	1	let	let	VERB
ejpam-390	237	2	f	f	PRON
ejpam-390	237	3	be	be	AUX
ejpam-390	237	4	a	a	DET
ejpam-390	237	5	generator	generator	NOUN
ejpam-390	237	6	of	of	ADP
ejpam-390	237	7	the	the	DET
ejpam-390	237	8	sde2(λ	sde2(λ	NOUN
ejpam-390	237	9	)	)	PUNCT
ejpam-390	237	10	family	family	NOUN
ejpam-390	237	11	with	with	ADP
ejpam-390	237	12	p.d.f	p.d.f	PROPN
ejpam-390	237	13	.	.	PUNCT
ejpam-390	238	1	f	f	PROPN
ejpam-390	238	2	,	,	PUNCT
ejpam-390	238	3	that	that	PRON
ejpam-390	238	4	is	be	AUX
ejpam-390	238	5	2	2	NUM
ejpam-390	238	6	f	f	NOUN
ejpam-390	238	7	(	(	PUNCT
ejpam-390	238	8	x)f(λx	x)f(λx	NUM
ejpam-390	238	9	)	)	PUNCT
ejpam-390	238	10	=	=	SYM
ejpam-390	238	11	g(x	g(x	NOUN
ejpam-390	238	12	)	)	PUNCT
ejpam-390	238	13	,	,	PUNCT
ejpam-390	238	14	for	for	ADP
ejpam-390	238	15	all	all	DET
ejpam-390	238	16	λ	λ	PROPN
ejpam-390	238	17	,	,	PUNCT
ejpam-390	238	18	where	where	SCONJ
ejpam-390	238	19	g(x	g(x	NOUN
ejpam-390	238	20	)	)	PUNCT
ejpam-390	238	21	is	be	AUX
ejpam-390	238	22	the	the	DET
ejpam-390	238	23	p.d.f	p.d.f	NOUN
ejpam-390	238	24	.	.	PUNCT
ejpam-390	238	25	of	of	ADP
ejpam-390	238	26	the	the	DET
ejpam-390	238	27	sde2(λ	sde2(λ	NOUN
ejpam-390	238	28	)	)	PUNCT
ejpam-390	238	29	distribution	distribution	NOUN
ejpam-390	238	30	.	.	PUNCT
ejpam-390	239	1	consider	consider	VERB
ejpam-390	239	2	first	first	ADV
ejpam-390	239	3	the	the	DET
ejpam-390	239	4	case	case	NOUN
ejpam-390	239	5	when	when	SCONJ
ejpam-390	239	6	x	x	X
ejpam-390	239	7	<	<	X
ejpam-390	239	8	0	0	NUM
ejpam-390	239	9	.	.	PUNCT
ejpam-390	240	1	then	then	ADV
ejpam-390	240	2	,	,	PUNCT
ejpam-390	240	3	2	2	NUM
ejpam-390	240	4	f	f	X
ejpam-390	240	5	(	(	PUNCT
ejpam-390	240	6	x	x	NOUN
ejpam-390	240	7	)	)	PUNCT
ejpam-390	240	8	f(λx	f(λx	NOUN
ejpam-390	240	9	)	)	PUNCT
ejpam-390	240	10	=	=	SYM
ejpam-390	240	11	2	2	NUM
ejpam-390	240	12	�	�	NOUN
ejpam-390	240	13	1	1	NUM
ejpam-390	240	14	2	2	NUM
ejpam-390	240	15	ex	ex	X
ejpam-390	240	16	�	�	PROPN
ejpam-390	240	17	�	�	PROPN
ejpam-390	240	18	1	1	NUM
ejpam-390	240	19	2	2	NUM
ejpam-390	240	20	eλx	eλx	NOUN
ejpam-390	240	21	�	�	PROPN
ejpam-390	240	22	⇒	⇒	VERB
ejpam-390	240	23	4	4	NUM
ejpam-390	240	24	f	f	NOUN
ejpam-390	240	25	(	(	PUNCT
ejpam-390	240	26	x	x	X
ejpam-390	240	27	)	)	PUNCT
ejpam-390	240	28	ex	ex	NOUN
ejpam-390	240	29	=	=	NOUN
ejpam-390	240	30	eλx	eλx	NOUN
ejpam-390	240	31	f(λx	f(λx	NOUN
ejpam-390	240	32	)	)	PUNCT
ejpam-390	240	33	.	.	PUNCT
ejpam-390	241	1	(	(	PUNCT
ejpam-390	241	2	4.2	4.2	NUM
ejpam-390	241	3	)	)	PUNCT
ejpam-390	241	4	since	since	SCONJ
ejpam-390	241	5	4	4	NUM
ejpam-390	241	6	f	f	NOUN
ejpam-390	241	7	(	(	PUNCT
ejpam-390	241	8	x	x	X
ejpam-390	241	9	)	)	PUNCT
ejpam-390	241	10	ex	ex	NOUN
ejpam-390	241	11	=	=	NOUN
ejpam-390	241	12	eλx	eλx	NOUN
ejpam-390	241	13	f(λx	f(λx	NOUN
ejpam-390	241	14	)	)	PUNCT
ejpam-390	241	15	,	,	PUNCT
ejpam-390	241	16	none	none	NOUN
ejpam-390	241	17	of	of	ADP
ejpam-390	241	18	the	the	DET
ejpam-390	241	19	terms	term	NOUN
ejpam-390	241	20	in	in	ADP
ejpam-390	241	21	the	the	DET
ejpam-390	241	22	above	above	ADJ
ejpam-390	241	23	expression	expression	NOUN
ejpam-390	241	24	depend	depend	VERB
ejpam-390	241	25	on	on	ADP
ejpam-390	241	26	λ	λ	PROPN
ejpam-390	241	27	.	.	PUNCT
ejpam-390	241	28	hence	hence	ADV
ejpam-390	241	29	,	,	PUNCT
ejpam-390	241	30	we	we	PRON
ejpam-390	241	31	can	can	AUX
ejpam-390	241	32	set	set	VERB
ejpam-390	241	33	4	4	NUM
ejpam-390	241	34	f	f	NOUN
ejpam-390	241	35	(	(	PUNCT
ejpam-390	241	36	x	x	X
ejpam-390	241	37	)	)	PUNCT
ejpam-390	241	38	ex	ex	NOUN
ejpam-390	241	39	=	=	NOUN
ejpam-390	241	40	eλx	eλx	NOUN
ejpam-390	241	41	f(λx	f(λx	PROPN
ejpam-390	241	42	)	)	PUNCT
ejpam-390	241	43	=	=	SYM
ejpam-390	241	44	c(x	c(x	NOUN
ejpam-390	241	45	)	)	PUNCT
ejpam-390	241	46	,	,	PUNCT
ejpam-390	241	47	where	where	SCONJ
ejpam-390	241	48	c(x	c(x	NOUN
ejpam-390	241	49	)	)	PUNCT
ejpam-390	241	50	is	be	AUX
ejpam-390	241	51	a	a	DET
ejpam-390	241	52	function	function	NOUN
ejpam-390	241	53	of	of	ADP
ejpam-390	241	54	x	x	PUNCT
ejpam-390	241	55	only	only	ADV
ejpam-390	241	56	.	.	PUNCT
ejpam-390	242	1	further	far	ADV
ejpam-390	242	2	,	,	PUNCT
ejpam-390	242	3	without	without	ADP
ejpam-390	242	4	loss	loss	NOUN
ejpam-390	242	5	of	of	ADP
ejpam-390	242	6	generality	generality	NOUN
ejpam-390	242	7	,	,	PUNCT
ejpam-390	242	8	we	we	PRON
ejpam-390	242	9	can	can	AUX
ejpam-390	242	10	set	set	VERB
ejpam-390	242	11	λ=	λ=	ADJ
ejpam-390	242	12	1	1	X
ejpam-390	242	13	.	.	PUNCT
ejpam-390	243	1	now	now	ADV
ejpam-390	243	2	,	,	PUNCT
ejpam-390	243	3	(	(	PUNCT
ejpam-390	243	4	4.2	4.2	NUM
ejpam-390	243	5	)	)	PUNCT
ejpam-390	243	6	leads	lead	VERB
ejpam-390	243	7	to	to	ADP
ejpam-390	243	8	the	the	DET
ejpam-390	243	9	following	follow	VERB
ejpam-390	243	10	equations	equation	NOUN
ejpam-390	243	11	.	.	PUNCT
ejpam-390	244	1	k.	k.	PROPN
ejpam-390	244	2	jagannathan	jagannathan	PROPN
ejpam-390	244	3	,	,	PUNCT
ejpam-390	244	4	a.	a.	PROPN
ejpam-390	244	5	gupta	gupta	PROPN
ejpam-390	244	6	,	,	PUNCT
ejpam-390	244	7	and	and	CCONJ
ejpam-390	244	8	t.	t.	PROPN
ejpam-390	244	9	nguyen	nguyen	PROPN
ejpam-390	244	10	/	/	SYM
ejpam-390	244	11	eur	eur	PROPN
ejpam-390	244	12	.	.	PUNCT
ejpam-390	245	1	j.	j.	PROPN
ejpam-390	245	2	pure	pure	PROPN
ejpam-390	245	3	appl	appl	PROPN
ejpam-390	245	4	.	.	PROPN
ejpam-390	245	5	math	math	PROPN
ejpam-390	245	6	,	,	PUNCT
ejpam-390	245	7	2	2	NUM
ejpam-390	245	8	(	(	PUNCT
ejpam-390	245	9	2009	2009	NUM
ejpam-390	245	10	)	)	PUNCT
ejpam-390	245	11	,	,	PUNCT
ejpam-390	245	12	(	(	PUNCT
ejpam-390	245	13	1	1	NUM
ejpam-390	245	14	-	-	SYM
ejpam-390	245	15	20	20	NUM
ejpam-390	245	16	)	)	PUNCT
ejpam-390	245	17	12	12	NUM
ejpam-390	245	18	f	f	NOUN
ejpam-390	245	19	(	(	PUNCT
ejpam-390	245	20	x	x	NOUN
ejpam-390	245	21	)	)	PUNCT
ejpam-390	245	22	=	=	SYM
ejpam-390	245	23	c(x	c(x	NOUN
ejpam-390	245	24	)	)	PUNCT
ejpam-390	245	25	ex	ex	X
ejpam-390	245	26	4	4	NUM
ejpam-390	245	27	(	(	PUNCT
ejpam-390	245	28	4.3	4.3	NUM
ejpam-390	245	29	)	)	PUNCT
ejpam-390	245	30	f(x	f(x	PROPN
ejpam-390	245	31	)	)	PUNCT
ejpam-390	246	1	=	=	SYM
ejpam-390	246	2	ex	ex	X
ejpam-390	246	3	c(x	c(x	NOUN
ejpam-390	246	4	)	)	PUNCT
ejpam-390	246	5	.	.	PUNCT
ejpam-390	247	1	(	(	PUNCT
ejpam-390	247	2	4.4	4.4	NUM
ejpam-390	247	3	)	)	PUNCT
ejpam-390	247	4	taking	take	VERB
ejpam-390	247	5	derivatives	derivative	NOUN
ejpam-390	247	6	of	of	ADP
ejpam-390	247	7	(	(	PUNCT
ejpam-390	247	8	4.4	4.4	NUM
ejpam-390	247	9	)	)	PUNCT
ejpam-390	247	10	with	with	ADP
ejpam-390	247	11	respect	respect	NOUN
ejpam-390	247	12	to	to	ADP
ejpam-390	247	13	x	x	SYM
ejpam-390	247	14	,	,	PUNCT
ejpam-390	247	15	we	we	PRON
ejpam-390	247	16	get	get	VERB
ejpam-390	247	17	f	f	PROPN
ejpam-390	247	18	(	(	PUNCT
ejpam-390	247	19	x	x	NOUN
ejpam-390	247	20	)	)	PUNCT
ejpam-390	247	21	=	=	SYM
ejpam-390	247	22	c(x	c(x	NOUN
ejpam-390	247	23	)	)	PUNCT
ejpam-390	247	24	ex	ex	NOUN
ejpam-390	247	25	−	−	PROPN
ejpam-390	247	26	ex	ex	X
ejpam-390	247	27	c′(x	c′(x	NOUN
ejpam-390	247	28	)	)	PUNCT
ejpam-390	247	29	(	(	PUNCT
ejpam-390	247	30	c(x))2	c(x))2	PROPN
ejpam-390	247	31	.	.	PUNCT
ejpam-390	248	1	(	(	PUNCT
ejpam-390	248	2	4.5	4.5	X
ejpam-390	248	3	)	)	PUNCT
ejpam-390	248	4	equating	equate	VERB
ejpam-390	248	5	(	(	PUNCT
ejpam-390	248	6	4.3	4.3	NUM
ejpam-390	248	7	)	)	PUNCT
ejpam-390	248	8	and	and	CCONJ
ejpam-390	248	9	(	(	PUNCT
ejpam-390	248	10	4.5	4.5	NUM
ejpam-390	248	11	)	)	PUNCT
ejpam-390	248	12	,	,	PUNCT
ejpam-390	248	13	we	we	PRON
ejpam-390	248	14	get	get	VERB
ejpam-390	248	15	c(x	c(x	NOUN
ejpam-390	248	16	)	)	PUNCT
ejpam-390	248	17	ex	ex	X
ejpam-390	248	18	4	4	NUM
ejpam-390	248	19	=	=	SYM
ejpam-390	248	20	c(x	c(x	NOUN
ejpam-390	248	21	)	)	PUNCT
ejpam-390	248	22	ex	ex	NOUN
ejpam-390	248	23	−	−	PROPN
ejpam-390	248	24	ex	ex	X
ejpam-390	248	25	c′(x	c′(x	NOUN
ejpam-390	248	26	)	)	PUNCT
ejpam-390	248	27	(	(	PUNCT
ejpam-390	248	28	c(x))2	c(x))2	PROPN
ejpam-390	248	29	.	.	PUNCT
ejpam-390	249	1	(	(	PUNCT
ejpam-390	249	2	4.6	4.6	X
ejpam-390	249	3	)	)	PUNCT
ejpam-390	249	4	solving	solve	VERB
ejpam-390	249	5	the	the	DET
ejpam-390	249	6	above	above	ADJ
ejpam-390	249	7	differential	differential	ADJ
ejpam-390	249	8	equation	equation	NOUN
ejpam-390	249	9	,	,	PUNCT
ejpam-390	249	10	we	we	PRON
ejpam-390	249	11	get	get	VERB
ejpam-390	249	12	that	that	DET
ejpam-390	249	13	c(x	c(x	NOUN
ejpam-390	249	14	)	)	PUNCT
ejpam-390	249	15	=	=	PUNCT
ejpam-390	250	1	ex	ex	PRON
ejpam-390	250	2	q	q	PUNCT
ejpam-390	251	1	e2x	e2x	NOUN
ejpam-390	251	2	4	4	NUM
ejpam-390	252	1	+	+	SYM
ejpam-390	252	2	c	c	X
ejpam-390	252	3	(	(	PUNCT
ejpam-390	252	4	4.7	4.7	NUM
ejpam-390	252	5	)	)	PUNCT
ejpam-390	252	6	where	where	SCONJ
ejpam-390	252	7	c	c	NOUN
ejpam-390	252	8	is	be	AUX
ejpam-390	252	9	a	a	DET
ejpam-390	252	10	constant	constant	ADJ
ejpam-390	252	11	.	.	PUNCT
ejpam-390	253	1	using	use	VERB
ejpam-390	253	2	the	the	DET
ejpam-390	253	3	value	value	NOUN
ejpam-390	253	4	of	of	ADP
ejpam-390	253	5	c(x	c(x	NOUN
ejpam-390	253	6	)	)	PUNCT
ejpam-390	253	7	obtained	obtain	VERB
ejpam-390	253	8	in	in	ADP
ejpam-390	253	9	(	(	PUNCT
ejpam-390	253	10	4.7	4.7	NUM
ejpam-390	253	11	)	)	PUNCT
ejpam-390	253	12	in	in	ADP
ejpam-390	253	13	(	(	PUNCT
ejpam-390	253	14	4.4	4.4	NUM
ejpam-390	253	15	)	)	PUNCT
ejpam-390	253	16	,	,	PUNCT
ejpam-390	253	17	we	we	PRON
ejpam-390	253	18	get	get	VERB
ejpam-390	253	19	that	that	DET
ejpam-390	253	20	f(x	f(x	NOUN
ejpam-390	253	21	)	)	PUNCT
ejpam-390	254	1	=	=	PUNCT
ejpam-390	254	2	r	r	NOUN
ejpam-390	254	3	e2x	e2x	NOUN
ejpam-390	254	4	4	4	NUM
ejpam-390	255	1	+	+	CCONJ
ejpam-390	256	1	c.	c.	NOUN
ejpam-390	256	2	taking	taking	NOUN
ejpam-390	256	3	limits	limit	NOUN
ejpam-390	256	4	as	as	ADP
ejpam-390	256	5	x	x	PROPN
ejpam-390	256	6	→−∞	→−∞	PROPN
ejpam-390	256	7	,	,	PUNCT
ejpam-390	256	8	we	we	PRON
ejpam-390	256	9	get	get	VERB
ejpam-390	256	10	lim	lim	PROPN
ejpam-390	256	11	x→−∞	x→−∞	PROPN
ejpam-390	256	12	f(x	f(x	PROPN
ejpam-390	256	13	)	)	PUNCT
ejpam-390	257	1	=	=	SYM
ejpam-390	258	1	p	p	PROPN
ejpam-390	258	2	c.	c.	NOUN
ejpam-390	258	3	(	(	PUNCT
ejpam-390	258	4	4.8	4.8	NUM
ejpam-390	258	5	)	)	PUNCT
ejpam-390	258	6	then	then	ADV
ejpam-390	258	7	,	,	PUNCT
ejpam-390	258	8	from	from	ADP
ejpam-390	258	9	(	(	PUNCT
ejpam-390	258	10	4.8	4.8	NUM
ejpam-390	258	11	)	)	PUNCT
ejpam-390	258	12	and	and	CCONJ
ejpam-390	258	13	(	(	PUNCT
ejpam-390	258	14	4.7	4.7	NUM
ejpam-390	258	15	)	)	PUNCT
ejpam-390	258	16	,	,	PUNCT
ejpam-390	258	17	c	c	NOUN
ejpam-390	258	18	=	=	SYM
ejpam-390	258	19	0	0	NUM
ejpam-390	258	20	and	and	CCONJ
ejpam-390	258	21	c(x	c(x	NOUN
ejpam-390	258	22	)	)	PUNCT
ejpam-390	258	23	=	=	SYM
ejpam-390	258	24	2	2	X
ejpam-390	258	25	.	.	X
ejpam-390	259	1	hence	hence	ADV
ejpam-390	259	2	,	,	PUNCT
ejpam-390	259	3	from	from	ADP
ejpam-390	259	4	(	(	PUNCT
ejpam-390	259	5	4.3	4.3	NUM
ejpam-390	259	6	)	)	PUNCT
ejpam-390	259	7	,	,	PUNCT
ejpam-390	259	8	f	f	PROPN
ejpam-390	259	9	(	(	PUNCT
ejpam-390	259	10	x	x	X
ejpam-390	259	11	)	)	PUNCT
ejpam-390	259	12	=	=	SYM
ejpam-390	259	13	1	1	NUM
ejpam-390	259	14	2	2	NUM
ejpam-390	259	15	ex	ex	NOUN
ejpam-390	259	16	.	.	PUNCT
ejpam-390	260	1	now	now	ADV
ejpam-390	260	2	,	,	PUNCT
ejpam-390	260	3	if	if	SCONJ
ejpam-390	260	4	x	x	PROPN
ejpam-390	260	5	>	>	X
ejpam-390	260	6	0	0	NUM
ejpam-390	260	7	,	,	PUNCT
ejpam-390	260	8	then	then	ADV
ejpam-390	260	9	2	2	NUM
ejpam-390	260	10	f	f	NOUN
ejpam-390	260	11	(	(	PUNCT
ejpam-390	260	12	x	x	NOUN
ejpam-390	260	13	)	)	PUNCT
ejpam-390	260	14	f(λx	f(λx	NOUN
ejpam-390	260	15	)	)	PUNCT
ejpam-390	260	16	=	=	SYM
ejpam-390	260	17	2	2	NUM
ejpam-390	260	18	�	�	NOUN
ejpam-390	260	19	1	1	NUM
ejpam-390	260	20	2	2	NUM
ejpam-390	260	21	e−x	e−x	PROPN
ejpam-390	260	22	�	�	PROPN
ejpam-390	260	23	�	�	PROPN
ejpam-390	260	24	1−	1−	NUM
ejpam-390	260	25	1	1	NUM
ejpam-390	260	26	2	2	NUM
ejpam-390	260	27	e−λx	e−λx	NOUN
ejpam-390	260	28	�	�	PROPN
ejpam-390	260	29	⇒	⇒	VERB
ejpam-390	260	30	2	2	NUM
ejpam-390	260	31	f	f	NOUN
ejpam-390	260	32	(	(	PUNCT
ejpam-390	260	33	x	x	NOUN
ejpam-390	260	34	)	)	PUNCT
ejpam-390	260	35	e−x	e−x	NOUN
ejpam-390	260	36	=	=	SYM
ejpam-390	260	37	2−	2−	NUM
ejpam-390	260	38	e−λx	e−λx	NOUN
ejpam-390	260	39	2	2	NUM
ejpam-390	260	40	f(λx	f(λx	NOUN
ejpam-390	260	41	)	)	PUNCT
ejpam-390	260	42	.	.	PUNCT
ejpam-390	261	1	(	(	PUNCT
ejpam-390	261	2	4.9	4.9	NUM
ejpam-390	261	3	)	)	PUNCT
ejpam-390	261	4	again	again	ADV
ejpam-390	261	5	,	,	PUNCT
ejpam-390	261	6	for	for	ADP
ejpam-390	261	7	the	the	DET
ejpam-390	261	8	same	same	ADJ
ejpam-390	261	9	reasons	reason	NOUN
ejpam-390	261	10	as	as	ADP
ejpam-390	261	11	above	above	ADV
ejpam-390	261	12	,	,	PUNCT
ejpam-390	261	13	we	we	PRON
ejpam-390	261	14	can	can	AUX
ejpam-390	261	15	set	set	VERB
ejpam-390	261	16	2	2	NUM
ejpam-390	261	17	f	f	NOUN
ejpam-390	261	18	(	(	PUNCT
ejpam-390	261	19	x	x	NOUN
ejpam-390	261	20	)	)	PUNCT
ejpam-390	261	21	e−x	e−x	NOUN
ejpam-390	261	22	=	=	SYM
ejpam-390	261	23	2−	2−	NUM
ejpam-390	261	24	e−λx	e−λx	NOUN
ejpam-390	261	25	f(λx	f(λx	NOUN
ejpam-390	261	26	)	)	PUNCT
ejpam-390	261	27	=	=	SYM
ejpam-390	261	28	c(x	c(x	NOUN
ejpam-390	261	29	)	)	PUNCT
ejpam-390	261	30	,	,	PUNCT
ejpam-390	261	31	where	where	SCONJ
ejpam-390	261	32	c(x	c(x	NOUN
ejpam-390	261	33	)	)	PUNCT
ejpam-390	261	34	is	be	AUX
ejpam-390	261	35	a	a	DET
ejpam-390	261	36	function	function	NOUN
ejpam-390	261	37	of	of	ADP
ejpam-390	261	38	x	x	PUNCT
ejpam-390	261	39	only	only	ADV
ejpam-390	261	40	.	.	PUNCT
ejpam-390	262	1	further	far	ADV
ejpam-390	262	2	,	,	PUNCT
ejpam-390	262	3	without	without	ADP
ejpam-390	262	4	loss	loss	NOUN
ejpam-390	262	5	of	of	ADP
ejpam-390	262	6	generality	generality	NOUN
ejpam-390	262	7	,	,	PUNCT
ejpam-390	262	8	we	we	PRON
ejpam-390	262	9	can	can	AUX
ejpam-390	262	10	set	set	VERB
ejpam-390	262	11	λ=	λ=	ADJ
ejpam-390	262	12	1	1	NUM
ejpam-390	262	13	.	.	PUNCT
ejpam-390	263	1	(	(	PUNCT
ejpam-390	263	2	4.9	4.9	NUM
ejpam-390	263	3	)	)	PUNCT
ejpam-390	263	4	leads	lead	VERB
ejpam-390	263	5	to	to	ADP
ejpam-390	263	6	the	the	DET
ejpam-390	263	7	following	follow	VERB
ejpam-390	263	8	equations	equation	NOUN
ejpam-390	263	9	.	.	PUNCT
ejpam-390	264	1	k.	k.	PROPN
ejpam-390	264	2	jagannathan	jagannathan	PROPN
ejpam-390	264	3	,	,	PUNCT
ejpam-390	264	4	a.	a.	PROPN
ejpam-390	264	5	gupta	gupta	PROPN
ejpam-390	264	6	,	,	PUNCT
ejpam-390	264	7	and	and	CCONJ
ejpam-390	264	8	t.	t.	PROPN
ejpam-390	264	9	nguyen	nguyen	PROPN
ejpam-390	264	10	/	/	SYM
ejpam-390	264	11	eur	eur	PROPN
ejpam-390	264	12	.	.	PUNCT
ejpam-390	265	1	j.	j.	PROPN
ejpam-390	265	2	pure	pure	PROPN
ejpam-390	265	3	appl	appl	PROPN
ejpam-390	265	4	.	.	PROPN
ejpam-390	265	5	math	math	PROPN
ejpam-390	265	6	,	,	PUNCT
ejpam-390	265	7	2	2	NUM
ejpam-390	265	8	(	(	PUNCT
ejpam-390	265	9	2009	2009	NUM
ejpam-390	265	10	)	)	PUNCT
ejpam-390	265	11	,	,	PUNCT
ejpam-390	265	12	(	(	PUNCT
ejpam-390	265	13	1	1	NUM
ejpam-390	265	14	-	-	SYM
ejpam-390	265	15	20	20	NUM
ejpam-390	265	16	)	)	PUNCT
ejpam-390	265	17	13	13	NUM
ejpam-390	265	18	f	f	NOUN
ejpam-390	265	19	(	(	PUNCT
ejpam-390	265	20	x	x	NOUN
ejpam-390	265	21	)	)	PUNCT
ejpam-390	265	22	=	=	SYM
ejpam-390	265	23	c(x	c(x	NOUN
ejpam-390	265	24	)	)	PUNCT
ejpam-390	265	25	e−x	e−x	PROPN
ejpam-390	265	26	2	2	NUM
ejpam-390	265	27	(	(	PUNCT
ejpam-390	265	28	4.10	4.10	NUM
ejpam-390	265	29	)	)	PUNCT
ejpam-390	265	30	f(x	f(x	PROPN
ejpam-390	265	31	)	)	PUNCT
ejpam-390	265	32	=	=	PUNCT
ejpam-390	265	33	2−	2−	NUM
ejpam-390	265	34	e−x	e−x	NUM
ejpam-390	265	35	2c(x	2c(x	NOUN
ejpam-390	265	36	)	)	PUNCT
ejpam-390	265	37	.	.	PUNCT
ejpam-390	266	1	(	(	PUNCT
ejpam-390	266	2	4.11	4.11	X
ejpam-390	266	3	)	)	PUNCT
ejpam-390	266	4	taking	take	VERB
ejpam-390	266	5	derivatives	derivative	NOUN
ejpam-390	266	6	of	of	ADP
ejpam-390	266	7	(	(	PUNCT
ejpam-390	266	8	4.11	4.11	NUM
ejpam-390	266	9	)	)	PUNCT
ejpam-390	266	10	with	with	ADP
ejpam-390	266	11	respect	respect	NOUN
ejpam-390	266	12	to	to	ADP
ejpam-390	266	13	x	x	SYM
ejpam-390	266	14	,	,	PUNCT
ejpam-390	266	15	we	we	PRON
ejpam-390	266	16	get	get	VERB
ejpam-390	266	17	f	f	PROPN
ejpam-390	266	18	(	(	PUNCT
ejpam-390	266	19	x	x	NOUN
ejpam-390	266	20	)	)	PUNCT
ejpam-390	266	21	=	=	SYM
ejpam-390	266	22	c(x	c(x	NOUN
ejpam-390	266	23	)	)	PUNCT
ejpam-390	266	24	e−x	e−x	PROPN
ejpam-390	266	25	−	−	PROPN
ejpam-390	266	26	(	(	PUNCT
ejpam-390	266	27	2−	2−	NUM
ejpam-390	266	28	e−x	e−x	NOUN
ejpam-390	266	29	)	)	PUNCT
ejpam-390	266	30	c′(x	c′(x	PROPN
ejpam-390	266	31	)	)	PUNCT
ejpam-390	266	32	2(c(x))2	2(c(x))2	NUM
ejpam-390	266	33	.	.	PUNCT
ejpam-390	267	1	(	(	PUNCT
ejpam-390	267	2	4.12	4.12	NUM
ejpam-390	267	3	)	)	PUNCT
ejpam-390	267	4	equating	equate	VERB
ejpam-390	267	5	(	(	PUNCT
ejpam-390	267	6	4.10	4.10	NUM
ejpam-390	267	7	)	)	PUNCT
ejpam-390	267	8	and	and	CCONJ
ejpam-390	267	9	(	(	PUNCT
ejpam-390	267	10	4.12	4.12	NUM
ejpam-390	267	11	)	)	PUNCT
ejpam-390	267	12	,	,	PUNCT
ejpam-390	267	13	we	we	PRON
ejpam-390	267	14	get	get	VERB
ejpam-390	267	15	c(x	c(x	NOUN
ejpam-390	267	16	)	)	PUNCT
ejpam-390	267	17	e−x	e−x	PROPN
ejpam-390	267	18	2	2	NUM
ejpam-390	267	19	=	=	SYM
ejpam-390	267	20	c(x	c(x	NOUN
ejpam-390	267	21	)	)	PUNCT
ejpam-390	267	22	e−x	e−x	PROPN
ejpam-390	267	23	−	−	PROPN
ejpam-390	267	24	(	(	PUNCT
ejpam-390	267	25	2−	2−	NUM
ejpam-390	267	26	e−x	e−x	NOUN
ejpam-390	267	27	)	)	PUNCT
ejpam-390	267	28	c′(x	c′(x	NOUN
ejpam-390	267	29	)	)	PUNCT
ejpam-390	267	30	2(c(x))2	2(c(x))2	NUM
ejpam-390	267	31	.	.	PUNCT
ejpam-390	268	1	(	(	PUNCT
ejpam-390	268	2	4.13	4.13	X
ejpam-390	268	3	)	)	PUNCT
ejpam-390	268	4	solving	solve	VERB
ejpam-390	268	5	the	the	DET
ejpam-390	268	6	above	above	ADJ
ejpam-390	268	7	differential	differential	ADJ
ejpam-390	268	8	equation	equation	NOUN
ejpam-390	268	9	,	,	PUNCT
ejpam-390	268	10	we	we	PRON
ejpam-390	268	11	get	get	VERB
ejpam-390	268	12	that	that	DET
ejpam-390	268	13	c(x	c(x	NOUN
ejpam-390	268	14	)	)	PUNCT
ejpam-390	268	15	=	=	PUNCT
ejpam-390	268	16	2−	2−	NUM
ejpam-390	268	17	e−x	e−x	NOUN
ejpam-390	268	18	p	p	PROPN
ejpam-390	268	19	−e−x(4−	−e−x(4−	NOUN
ejpam-390	268	20	e−x	e−x	PROPN
ejpam-390	268	21	)	)	PUNCT
ejpam-390	269	1	+	+	CCONJ
ejpam-390	269	2	c	c	X
ejpam-390	269	3	(	(	PUNCT
ejpam-390	269	4	4.14	4.14	NUM
ejpam-390	269	5	)	)	PUNCT
ejpam-390	269	6	where	where	SCONJ
ejpam-390	269	7	c	c	NOUN
ejpam-390	269	8	is	be	AUX
ejpam-390	269	9	a	a	DET
ejpam-390	269	10	constant	constant	ADJ
ejpam-390	269	11	.	.	PUNCT
ejpam-390	270	1	using	use	VERB
ejpam-390	270	2	the	the	DET
ejpam-390	270	3	value	value	NOUN
ejpam-390	270	4	of	of	ADP
ejpam-390	270	5	c(x	c(x	NOUN
ejpam-390	270	6	)	)	PUNCT
ejpam-390	270	7	obtained	obtain	VERB
ejpam-390	270	8	in	in	ADP
ejpam-390	270	9	(	(	PUNCT
ejpam-390	270	10	4.14	4.14	NUM
ejpam-390	270	11	)	)	PUNCT
ejpam-390	270	12	in	in	ADP
ejpam-390	270	13	(	(	PUNCT
ejpam-390	270	14	4.11	4.11	NUM
ejpam-390	270	15	)	)	PUNCT
ejpam-390	270	16	,	,	PUNCT
ejpam-390	270	17	we	we	PRON
ejpam-390	270	18	get	get	VERB
ejpam-390	270	19	that	that	DET
ejpam-390	270	20	f(x	f(x	NOUN
ejpam-390	270	21	)	)	PUNCT
ejpam-390	271	1	=	=	PUNCT
ejpam-390	272	1	p	p	X
ejpam-390	272	2	−e−x	−e−x	PROPN
ejpam-390	272	3	(	(	PUNCT
ejpam-390	272	4	4−	4−	NUM
ejpam-390	272	5	e−x	e−x	NOUN
ejpam-390	272	6	)	)	PUNCT
ejpam-390	273	1	+	+	CCONJ
ejpam-390	273	2	c	c	NOUN
ejpam-390	273	3	2	2	NUM
ejpam-390	273	4	.	.	PUNCT
ejpam-390	274	1	(	(	PUNCT
ejpam-390	274	2	4.15	4.15	NUM
ejpam-390	274	3	)	)	PUNCT
ejpam-390	274	4	taking	take	VERB
ejpam-390	274	5	limits	limit	NOUN
ejpam-390	274	6	as	as	ADP
ejpam-390	274	7	x	x	SYM
ejpam-390	274	8	→∞	→∞	PROPN
ejpam-390	274	9	,	,	PUNCT
ejpam-390	274	10	we	we	PRON
ejpam-390	274	11	get	get	VERB
ejpam-390	274	12	lim	lim	PROPN
ejpam-390	274	13	x→∞	x→∞	NUM
ejpam-390	275	1	f(x	f(x	PROPN
ejpam-390	275	2	)	)	PUNCT
ejpam-390	276	1	=	=	PUNCT
ejpam-390	277	1	p	p	X
ejpam-390	277	2	c	c	NOUN
ejpam-390	277	3	2	2	NUM
ejpam-390	277	4	.	.	PUNCT
ejpam-390	278	1	then	then	ADV
ejpam-390	278	2	,	,	PUNCT
ejpam-390	278	3	from	from	ADP
ejpam-390	278	4	(	(	PUNCT
ejpam-390	278	5	4.16	4.16	NUM
ejpam-390	278	6	)	)	PUNCT
ejpam-390	278	7	and	and	CCONJ
ejpam-390	278	8	(	(	PUNCT
ejpam-390	278	9	4.14	4.14	NUM
ejpam-390	278	10	)	)	PUNCT
ejpam-390	278	11	,	,	PUNCT
ejpam-390	278	12	c	c	NOUN
ejpam-390	278	13	=	=	SYM
ejpam-390	278	14	4	4	NUM
ejpam-390	278	15	and	and	CCONJ
ejpam-390	278	16	c(x	c(x	NOUN
ejpam-390	278	17	)	)	PUNCT
ejpam-390	278	18	=	=	SYM
ejpam-390	279	1	1	1	X
ejpam-390	279	2	.	.	PUNCT
ejpam-390	280	1	hence	hence	ADV
ejpam-390	280	2	,	,	PUNCT
ejpam-390	280	3	from	from	ADP
ejpam-390	280	4	(	(	PUNCT
ejpam-390	280	5	4.10	4.10	NUM
ejpam-390	280	6	)	)	PUNCT
ejpam-390	280	7	,	,	PUNCT
ejpam-390	280	8	f	f	PROPN
ejpam-390	280	9	(	(	PUNCT
ejpam-390	280	10	x	x	X
ejpam-390	280	11	)	)	PUNCT
ejpam-390	280	12	=	=	SYM
ejpam-390	280	13	1	1	NUM
ejpam-390	280	14	2	2	NUM
ejpam-390	280	15	e−x	e−x	NOUN
ejpam-390	280	16	.	.	PUNCT
ejpam-390	281	1	thus	thus	ADV
ejpam-390	281	2	,	,	PUNCT
ejpam-390	281	3	f	f	PROPN
ejpam-390	281	4	(	(	PUNCT
ejpam-390	281	5	x	x	X
ejpam-390	281	6	)	)	PUNCT
ejpam-390	281	7	=	=	SYM
ejpam-390	281	8	1	1	NUM
ejpam-390	281	9	2	2	NUM
ejpam-390	281	10	e−|x	e−|x	PROPN
ejpam-390	281	11	|	|	NOUN
ejpam-390	281	12	,	,	PUNCT
ejpam-390	281	13	and	and	CCONJ
ejpam-390	281	14	f	f	PROPN
ejpam-390	281	15	is	be	AUX
ejpam-390	281	16	a	a	DET
ejpam-390	281	17	de(0,1	de(0,1	NOUN
ejpam-390	281	18	)	)	PUNCT
ejpam-390	281	19	distribution	distribution	NOUN
ejpam-390	281	20	.	.	PUNCT
ejpam-390	282	1	hence	hence	ADV
ejpam-390	282	2	,	,	PUNCT
ejpam-390	282	3	the	the	DET
ejpam-390	282	4	de(0,1	de(0,1	NOUN
ejpam-390	282	5	)	)	PUNCT
ejpam-390	282	6	is	be	AUX
ejpam-390	282	7	the	the	DET
ejpam-390	282	8	unique	unique	ADJ
ejpam-390	282	9	generator	generator	NOUN
ejpam-390	282	10	of	of	ADP
ejpam-390	282	11	the	the	DET
ejpam-390	282	12	sde2(λ	sde2(λ	ADJ
ejpam-390	282	13	)	)	PUNCT
ejpam-390	282	14	distribution	distribution	NOUN
ejpam-390	282	15	.	.	PUNCT
ejpam-390	283	1	the	the	DET
ejpam-390	283	2	direct	direct	ADJ
ejpam-390	283	3	simulation	simulation	NOUN
ejpam-390	283	4	of	of	ADP
ejpam-390	283	5	random	random	ADJ
ejpam-390	283	6	variables	variable	NOUN
ejpam-390	283	7	from	from	ADP
ejpam-390	283	8	the	the	DET
ejpam-390	283	9	sde2	sde2	NOUN
ejpam-390	283	10	distribution	distribution	NOUN
ejpam-390	283	11	tends	tend	VERB
ejpam-390	283	12	to	to	PART
ejpam-390	283	13	be	be	AUX
ejpam-390	283	14	problematic	problematic	ADJ
ejpam-390	283	15	due	due	ADP
ejpam-390	283	16	to	to	ADP
ejpam-390	283	17	the	the	DET
ejpam-390	283	18	difficulties	difficulty	NOUN
ejpam-390	283	19	with	with	ADP
ejpam-390	283	20	inversion	inversion	NOUN
ejpam-390	283	21	of	of	ADP
ejpam-390	283	22	the	the	DET
ejpam-390	283	23	c.d.f	c.d.f	NOUN
ejpam-390	283	24	.	.	PUNCT
ejpam-390	284	1	in	in	ADP
ejpam-390	284	2	order	order	NOUN
ejpam-390	284	3	to	to	PART
ejpam-390	284	4	simulate	simulate	VERB
ejpam-390	284	5	a	a	DET
ejpam-390	284	6	sde2	sde2	NOUN
ejpam-390	284	7	random	random	ADJ
ejpam-390	284	8	variable	variable	NOUN
ejpam-390	284	9	with	with	ADP
ejpam-390	284	10	ease	ease	NOUN
ejpam-390	284	11	,	,	PUNCT
ejpam-390	284	12	we	we	PRON
ejpam-390	284	13	present	present	VERB
ejpam-390	284	14	the	the	DET
ejpam-390	284	15	following	follow	VERB
ejpam-390	284	16	stochastic	stochastic	ADJ
ejpam-390	284	17	representation	representation	NOUN
ejpam-390	284	18	.	.	PUNCT
ejpam-390	285	1	theorem	theorem	VERB
ejpam-390	285	2	4.3	4.3	NUM
ejpam-390	285	3	.	.	PUNCT
ejpam-390	286	1	let	let	VERB
ejpam-390	286	2	x	x	PRON
ejpam-390	286	3	be	be	AUX
ejpam-390	286	4	a	a	DET
ejpam-390	286	5	random	random	ADJ
ejpam-390	286	6	variable	variable	NOUN
ejpam-390	286	7	with	with	ADP
ejpam-390	286	8	c.d.f	c.d.f	ADJ
ejpam-390	286	9	.	.	PUNCT
ejpam-390	286	10	fx	fx	PROPN
ejpam-390	286	11	and	and	CCONJ
ejpam-390	286	12	p.d.f	p.d.f	ADJ
ejpam-390	286	13	.	.	PUNCT
ejpam-390	287	1	f	f	PROPN
ejpam-390	287	2	.	.	PUNCT
ejpam-390	288	1	suppose	suppose	VERB
ejpam-390	288	2	v	v	X
ejpam-390	288	3	=	=	PUNCT
ejpam-390	288	4	|x	|x	NOUN
ejpam-390	288	5	|	|	ADV
ejpam-390	288	6	with	with	ADP
ejpam-390	288	7	c.d.f	c.d.f	NOUN
ejpam-390	288	8	.	.	PUNCT
ejpam-390	289	1	gv	gv	ADP
ejpam-390	289	2	and	and	CCONJ
ejpam-390	289	3	p.d.f	p.d.f	ADJ
ejpam-390	289	4	.	.	PUNCT
ejpam-390	290	1	g.	g.	PROPN
ejpam-390	290	2	define	define	VERB
ejpam-390	290	3	the	the	DET
ejpam-390	290	4	variable	variable	ADJ
ejpam-390	290	5	s|v	s|v	NOUN
ejpam-390	290	6	by	by	ADP
ejpam-390	290	7	s|v	s|v	NOUN
ejpam-390	290	8	=	=	PUNCT
ejpam-390	291	1			PROPN
ejpam-390	291	2			PRON
ejpam-390	291	3			NOUN
ejpam-390	291	4	−1	−1	NOUN
ejpam-390	291	5	,	,	PUNCT
ejpam-390	291	6	with	with	ADP
ejpam-390	291	7	probability	probability	NOUN
ejpam-390	291	8	1−	1−	NUM
ejpam-390	291	9	fx	fx	PROPN
ejpam-390	291	10	(	(	PUNCT
ejpam-390	291	11	λv	λv	PROPN
ejpam-390	291	12	)	)	PUNCT
ejpam-390	291	13	1	1	NUM
ejpam-390	291	14	,	,	PUNCT
ejpam-390	291	15	with	with	ADP
ejpam-390	291	16	probability	probability	NOUN
ejpam-390	291	17	fx	fx	NOUN
ejpam-390	291	18	(	(	PUNCT
ejpam-390	291	19	λv	λv	PROPN
ejpam-390	291	20	)	)	PUNCT
ejpam-390	291	21	.	.	PUNCT
ejpam-390	292	1	(	(	PUNCT
ejpam-390	292	2	4.16	4.16	NUM
ejpam-390	292	3	)	)	PUNCT
ejpam-390	292	4	then	then	ADV
ejpam-390	292	5	,	,	PUNCT
ejpam-390	292	6	the	the	DET
ejpam-390	292	7	random	random	ADJ
ejpam-390	292	8	variable	variable	NOUN
ejpam-390	292	9	y	y	PROPN
ejpam-390	292	10	=	=	SYM
ejpam-390	292	11	(	(	PUNCT
ejpam-390	292	12	s|v	s|v	NOUN
ejpam-390	292	13	)	)	PUNCT
ejpam-390	292	14	v	v	NOUN
ejpam-390	292	15	is	be	AUX
ejpam-390	292	16	distributed	distribute	VERB
ejpam-390	292	17	as	as	ADP
ejpam-390	292	18	sde2	sde2	PROPN
ejpam-390	292	19	.	.	PUNCT
ejpam-390	293	1	k.	k.	PROPN
ejpam-390	293	2	jagannathan	jagannathan	PROPN
ejpam-390	293	3	,	,	PUNCT
ejpam-390	293	4	a.	a.	PROPN
ejpam-390	293	5	gupta	gupta	PROPN
ejpam-390	293	6	,	,	PUNCT
ejpam-390	293	7	and	and	CCONJ
ejpam-390	293	8	t.	t.	PROPN
ejpam-390	293	9	nguyen	nguyen	PROPN
ejpam-390	293	10	/	/	SYM
ejpam-390	293	11	eur	eur	PROPN
ejpam-390	293	12	.	.	PUNCT
ejpam-390	294	1	j.	j.	PROPN
ejpam-390	294	2	pure	pure	PROPN
ejpam-390	294	3	appl	appl	PROPN
ejpam-390	294	4	.	.	PROPN
ejpam-390	294	5	math	math	PROPN
ejpam-390	294	6	,	,	PUNCT
ejpam-390	294	7	2	2	NUM
ejpam-390	294	8	(	(	PUNCT
ejpam-390	294	9	2009	2009	NUM
ejpam-390	294	10	)	)	PUNCT
ejpam-390	294	11	,	,	PUNCT
ejpam-390	294	12	(	(	PUNCT
ejpam-390	294	13	1	1	NUM
ejpam-390	294	14	-	-	SYM
ejpam-390	294	15	20	20	NUM
ejpam-390	294	16	)	)	PUNCT
ejpam-390	294	17	14	14	NUM
ejpam-390	294	18	proof	proof	NOUN
ejpam-390	294	19	.	.	PUNCT
ejpam-390	295	1	consider	consider	VERB
ejpam-390	295	2	p(y	p(y	PROPN
ejpam-390	295	3	≤	≤	ADJ
ejpam-390	295	4	y	y	NOUN
ejpam-390	295	5	)	)	PUNCT
ejpam-390	295	6	=	=	SYM
ejpam-390	296	1	∫	∫	PROPN
ejpam-390	296	2	∞	∞	NUM
ejpam-390	296	3	0	0	NUM
ejpam-390	297	1	fs|v	fs|v	NOUN
ejpam-390	297	2	(	(	PUNCT
ejpam-390	297	3	y	y	PROPN
ejpam-390	297	4	/	/	SYM
ejpam-390	297	5	v	v	NOUN
ejpam-390	297	6	)	)	PUNCT
ejpam-390	297	7	g(v	g(v	PROPN
ejpam-390	297	8	)	)	PUNCT
ejpam-390	298	1	dv	dv	PROPN
ejpam-390	298	2	=	=	SYM
ejpam-390	298	3	∫	∫	PROPN
ejpam-390	298	4	y	y	PROPN
ejpam-390	298	5	/	/	SYM
ejpam-390	298	6	v<−1	v<−1	PROPN
ejpam-390	298	7	0	0	NUM
ejpam-390	298	8	·	·	SYM
ejpam-390	298	9	g(v	g(v	X
ejpam-390	298	10	)	)	PUNCT
ejpam-390	298	11	dv+	dv+	PROPN
ejpam-390	298	12	∫	∫	PROPN
ejpam-390	299	1	−1≤y	−1≤y	NOUN
ejpam-390	299	2	/	/	SYM
ejpam-390	299	3	v<1	v<1	NOUN
ejpam-390	299	4	(	(	PUNCT
ejpam-390	299	5	1−	1−	NUM
ejpam-390	299	6	fx	fx	PROPN
ejpam-390	299	7	(	(	PUNCT
ejpam-390	299	8	λv	λv	NOUN
ejpam-390	299	9	)	)	PUNCT
ejpam-390	299	10	)	)	PUNCT
ejpam-390	299	11	·	·	PUNCT
ejpam-390	300	1	g(v	g(v	X
ejpam-390	300	2	)	)	PUNCT
ejpam-390	300	3	dv	dv	PROPN
ejpam-390	300	4	+	+	CCONJ
ejpam-390	300	5	∫	∫	PROPN
ejpam-390	300	6	y	y	PROPN
ejpam-390	300	7	/	/	SYM
ejpam-390	300	8	v≥1	v≥1	PROPN
ejpam-390	300	9	1	1	NUM
ejpam-390	300	10	·	·	SYM
ejpam-390	300	11	g(v	g(v	X
ejpam-390	300	12	)	)	PUNCT
ejpam-390	300	13	dv	dv	PROPN
ejpam-390	300	14	.	.	PUNCT
ejpam-390	301	1	(	(	PUNCT
ejpam-390	301	2	4.17	4.17	NUM
ejpam-390	301	3	)	)	PUNCT
ejpam-390	301	4	if	if	SCONJ
ejpam-390	301	5	y	y	PROPN
ejpam-390	301	6	>	>	X
ejpam-390	301	7	0	0	PROPN
ejpam-390	301	8	,	,	PUNCT
ejpam-390	301	9	then	then	ADV
ejpam-390	301	10	y	y	PROPN
ejpam-390	301	11	/	/	SYM
ejpam-390	301	12	v	v	NOUN
ejpam-390	301	13	>	>	X
ejpam-390	301	14	0	0	NUM
ejpam-390	301	15	.	.	PUNCT
ejpam-390	302	1	then	then	ADV
ejpam-390	302	2	the	the	DET
ejpam-390	302	3	condition	condition	NOUN
ejpam-390	302	4	−1≤	−1≤	VERB
ejpam-390	302	5	y	y	PROPN
ejpam-390	302	6	/	/	SYM
ejpam-390	302	7	v	v	NOUN
ejpam-390	302	8	<	<	X
ejpam-390	302	9	1	1	NUM
ejpam-390	302	10	is	be	AUX
ejpam-390	302	11	equivalent	equivalent	ADJ
ejpam-390	302	12	to	to	ADP
ejpam-390	302	13	0≤	0≤	PROPN
ejpam-390	302	14	y	y	PROPN
ejpam-390	302	15	/	/	SYM
ejpam-390	302	16	v	v	NOUN
ejpam-390	302	17	<	<	X
ejpam-390	302	18	1	1	NUM
ejpam-390	302	19	,	,	PUNCT
ejpam-390	302	20	which	which	PRON
ejpam-390	302	21	in	in	ADP
ejpam-390	302	22	turn	turn	NOUN
ejpam-390	302	23	is	be	AUX
ejpam-390	302	24	equivalent	equivalent	ADJ
ejpam-390	302	25	to	to	ADP
ejpam-390	302	26	v	v	ADP
ejpam-390	302	27	>	>	X
ejpam-390	303	1	y.	y.	NOUN
ejpam-390	304	1	the	the	DET
ejpam-390	304	2	condition	condition	NOUN
ejpam-390	304	3	y	y	PROPN
ejpam-390	304	4	/	/	SYM
ejpam-390	304	5	v	v	PROPN
ejpam-390	304	6	≥	≥	NOUN
ejpam-390	304	7	1	1	NUM
ejpam-390	304	8	is	be	AUX
ejpam-390	304	9	then	then	ADV
ejpam-390	304	10	equivalent	equivalent	ADJ
ejpam-390	304	11	to	to	ADP
ejpam-390	304	12	v	v	NOUN
ejpam-390	304	13	≤	≤	NUM
ejpam-390	304	14	y.	y.	NOUN
ejpam-390	305	1	so	so	ADV
ejpam-390	305	2	,	,	PUNCT
ejpam-390	305	3	(	(	PUNCT
ejpam-390	305	4	8)	8)	NUM
ejpam-390	305	5	becomes	become	VERB
ejpam-390	305	6	p(y	p(y	ADJ
ejpam-390	305	7	≤	≤	ADJ
ejpam-390	305	8	y	y	NOUN
ejpam-390	305	9	)	)	PUNCT
ejpam-390	306	1	=	=	SYM
ejpam-390	306	2	∫	∫	PROPN
ejpam-390	307	1	y	y	NOUN
ejpam-390	307	2	0	0	NUM
ejpam-390	307	3	1	1	NUM
ejpam-390	307	4	·	·	SYM
ejpam-390	307	5	g(v	g(v	X
ejpam-390	307	6	)	)	PUNCT
ejpam-390	307	7	dv+	dv+	NOUN
ejpam-390	308	1	∫	∫	PROPN
ejpam-390	309	1	∞	∞	PROPN
ejpam-390	309	2	y	y	PROPN
ejpam-390	309	3	(	(	PUNCT
ejpam-390	309	4	1−	1−	NUM
ejpam-390	309	5	fx	fx	PROPN
ejpam-390	309	6	(	(	PUNCT
ejpam-390	309	7	λv	λv	NOUN
ejpam-390	309	8	)	)	PUNCT
ejpam-390	309	9	)	)	PUNCT
ejpam-390	309	10	·	·	PUNCT
ejpam-390	310	1	g(v	g(v	X
ejpam-390	310	2	)	)	PUNCT
ejpam-390	310	3	dv	dv	PROPN
ejpam-390	310	4	.	.	PUNCT
ejpam-390	311	1	taking	take	VERB
ejpam-390	311	2	derivatives	derivative	NOUN
ejpam-390	311	3	on	on	ADP
ejpam-390	311	4	both	both	DET
ejpam-390	311	5	sides	side	NOUN
ejpam-390	311	6	of	of	ADP
ejpam-390	311	7	the	the	DET
ejpam-390	311	8	above	above	ADJ
ejpam-390	311	9	equation	equation	NOUN
ejpam-390	311	10	,	,	PUNCT
ejpam-390	311	11	we	we	PRON
ejpam-390	311	12	get	get	VERB
ejpam-390	312	1	d	d	PROPN
ejpam-390	312	2	d	d	X
ejpam-390	312	3	y	y	PROPN
ejpam-390	312	4	p(y	p(y	PROPN
ejpam-390	312	5	≤	≤	PROPN
ejpam-390	312	6	y	y	X
ejpam-390	312	7	)	)	PUNCT
ejpam-390	312	8	=	=	PUNCT
ejpam-390	312	9	g(y)−	g(y)−	PROPN
ejpam-390	313	1	[	[	X
ejpam-390	313	2	g(y)−	g(y)−	INTJ
ejpam-390	313	3	fx	fx	PROPN
ejpam-390	313	4	(	(	PUNCT
ejpam-390	313	5	λy	λy	PROPN
ejpam-390	313	6	)	)	PUNCT
ejpam-390	313	7	·	·	PUNCT
ejpam-390	314	1	g(y	g(y	X
ejpam-390	314	2	)	)	PUNCT
ejpam-390	314	3	]	]	PUNCT
ejpam-390	315	1	=	=	PUNCT
ejpam-390	315	2	g(y)fx	g(y)fx	X
ejpam-390	315	3	(	(	PUNCT
ejpam-390	315	4	λy	λy	PROPN
ejpam-390	315	5	)	)	PUNCT
ejpam-390	315	6	.	.	PUNCT
ejpam-390	316	1	recall	recall	VERB
ejpam-390	316	2	that	that	PRON
ejpam-390	316	3	v	v	NOUN
ejpam-390	316	4	=	=	SYM
ejpam-390	316	5	|x	|x	X
ejpam-390	316	6	|	|	ADV
ejpam-390	316	7	.	.	PUNCT
ejpam-390	317	1	hence	hence	ADV
ejpam-390	317	2	,	,	PUNCT
ejpam-390	317	3	g(y	g(y	PROPN
ejpam-390	317	4	)	)	PUNCT
ejpam-390	317	5	=	=	SYM
ejpam-390	317	6	2	2	NUM
ejpam-390	317	7	f	f	NOUN
ejpam-390	317	8	(	(	PUNCT
ejpam-390	317	9	y	y	NOUN
ejpam-390	317	10	)	)	PUNCT
ejpam-390	317	11	and	and	CCONJ
ejpam-390	317	12	we	we	PRON
ejpam-390	317	13	get	get	VERB
ejpam-390	317	14	that	that	PRON
ejpam-390	317	15	fy	fy	PROPN
ejpam-390	317	16	(	(	PUNCT
ejpam-390	317	17	y	y	NOUN
ejpam-390	317	18	)	)	PUNCT
ejpam-390	317	19	=	=	SYM
ejpam-390	317	20	2	2	NUM
ejpam-390	317	21	f	f	X
ejpam-390	317	22	(	(	PUNCT
ejpam-390	317	23	y)f(λy	y)f(λy	NUM
ejpam-390	317	24	)	)	PUNCT
ejpam-390	317	25	.	.	PUNCT
ejpam-390	318	1	so	so	ADV
ejpam-390	318	2	,	,	PUNCT
ejpam-390	318	3	in	in	ADP
ejpam-390	318	4	the	the	DET
ejpam-390	318	5	case	case	NOUN
ejpam-390	318	6	when	when	SCONJ
ejpam-390	318	7	y	y	PROPN
ejpam-390	318	8	>	>	X
ejpam-390	318	9	0	0	PROPN
ejpam-390	318	10	,	,	PUNCT
ejpam-390	318	11	y	y	PROPN
ejpam-390	318	12	∼	∼	NOUN
ejpam-390	318	13	sde2(λ	sde2(λ	NOUN
ejpam-390	318	14	)	)	PUNCT
ejpam-390	318	15	.	.	PUNCT
ejpam-390	319	1	if	if	SCONJ
ejpam-390	319	2	y	y	PROPN
ejpam-390	319	3	<	<	X
ejpam-390	319	4	0	0	PROPN
ejpam-390	319	5	,	,	PUNCT
ejpam-390	319	6	then	then	ADV
ejpam-390	319	7	y	y	PROPN
ejpam-390	319	8	/	/	SYM
ejpam-390	319	9	v	v	X
ejpam-390	319	10	<	<	X
ejpam-390	319	11	0	0	NUM
ejpam-390	319	12	.	.	PUNCT
ejpam-390	320	1	then	then	ADV
ejpam-390	320	2	the	the	DET
ejpam-390	320	3	condition	condition	NOUN
ejpam-390	320	4	y	y	PROPN
ejpam-390	320	5	/	/	SYM
ejpam-390	320	6	v	v	PROPN
ejpam-390	320	7	≥	≥	NOUN
ejpam-390	320	8	1	1	NUM
ejpam-390	320	9	is	be	AUX
ejpam-390	320	10	never	never	ADV
ejpam-390	320	11	satisfied	satisfied	ADJ
ejpam-390	320	12	and	and	CCONJ
ejpam-390	320	13	the	the	DET
ejpam-390	320	14	condition	condition	NOUN
ejpam-390	320	15	−1≤	−1≤	VERB
ejpam-390	320	16	y	y	PROPN
ejpam-390	320	17	/	/	SYM
ejpam-390	320	18	v	v	NOUN
ejpam-390	320	19	<	<	X
ejpam-390	320	20	1	1	NUM
ejpam-390	320	21	is	be	AUX
ejpam-390	320	22	equivalent	equivalent	ADJ
ejpam-390	320	23	to	to	ADP
ejpam-390	320	24	v	v	NUM
ejpam-390	320	25	≥	≥	NOUN
ejpam-390	320	26	−y	−y	NOUN
ejpam-390	320	27	.	.	PUNCT
ejpam-390	321	1	so	so	ADV
ejpam-390	321	2	,	,	PUNCT
ejpam-390	321	3	(	(	PUNCT
ejpam-390	321	4	8)	8)	NUM
ejpam-390	321	5	becomes	become	VERB
ejpam-390	321	6	p(y	p(y	ADJ
ejpam-390	321	7	≤	≤	ADJ
ejpam-390	321	8	y	y	NOUN
ejpam-390	321	9	)	)	PUNCT
ejpam-390	322	1	=	=	SYM
ejpam-390	322	2	∫	∫	PROPN
ejpam-390	323	1	∞	∞	NUM
ejpam-390	323	2	−y	−y	NOUN
ejpam-390	323	3	(	(	PUNCT
ejpam-390	323	4	1−	1−	NUM
ejpam-390	323	5	fx	fx	PROPN
ejpam-390	323	6	(	(	PUNCT
ejpam-390	323	7	λv	λv	NOUN
ejpam-390	323	8	)	)	PUNCT
ejpam-390	323	9	)	)	PUNCT
ejpam-390	323	10	·	·	PUNCT
ejpam-390	324	1	g(v	g(v	X
ejpam-390	324	2	)	)	PUNCT
ejpam-390	324	3	dv	dv	PROPN
ejpam-390	324	4	.	.	PUNCT
ejpam-390	325	1	taking	take	VERB
ejpam-390	325	2	derivatives	derivative	NOUN
ejpam-390	325	3	on	on	ADP
ejpam-390	325	4	both	both	DET
ejpam-390	325	5	sides	side	NOUN
ejpam-390	325	6	again	again	ADV
ejpam-390	325	7	,	,	PUNCT
ejpam-390	325	8	we	we	PRON
ejpam-390	325	9	get	get	VERB
ejpam-390	326	1	d	d	PROPN
ejpam-390	326	2	d	d	X
ejpam-390	326	3	y	y	PROPN
ejpam-390	326	4	p(y	p(y	PROPN
ejpam-390	326	5	≤	≤	PROPN
ejpam-390	326	6	y	y	NOUN
ejpam-390	326	7	)	)	PUNCT
ejpam-390	326	8	=	=	PUNCT
ejpam-390	327	1	−	−	NUM
ejpam-390	327	2	�	�	PROPN
ejpam-390	327	3	1−	1−	NUM
ejpam-390	327	4	fx	fx	PROPN
ejpam-390	327	5	(	(	PUNCT
ejpam-390	327	6	−λy	−λy	PROPN
ejpam-390	327	7	)	)	PUNCT
ejpam-390	327	8	�	�	PROPN
ejpam-390	327	9	·	·	PUNCT
ejpam-390	327	10	g(−y	g(−y	NOUN
ejpam-390	327	11	)	)	PUNCT
ejpam-390	327	12	.	.	PUNCT
ejpam-390	328	1	again	again	ADV
ejpam-390	328	2	,	,	PUNCT
ejpam-390	328	3	−g(−y	−g(−y	NOUN
ejpam-390	328	4	)	)	PUNCT
ejpam-390	328	5	=	=	PUNCT
ejpam-390	329	1	g(y	g(y	NOUN
ejpam-390	329	2	)	)	PUNCT
ejpam-390	329	3	=	=	SYM
ejpam-390	329	4	2	2	NUM
ejpam-390	329	5	f	f	NOUN
ejpam-390	329	6	(	(	PUNCT
ejpam-390	329	7	y	y	NOUN
ejpam-390	329	8	)	)	PUNCT
ejpam-390	329	9	since	since	SCONJ
ejpam-390	329	10	f	f	PROPN
ejpam-390	329	11	(	(	PUNCT
ejpam-390	329	12	.	.	PUNCT
ejpam-390	329	13	)	)	PUNCT
ejpam-390	329	14	is	be	AUX
ejpam-390	329	15	a	a	DET
ejpam-390	329	16	symmetric	symmetric	ADJ
ejpam-390	329	17	p.d.f	p.d.f	NOUN
ejpam-390	329	18	.	.	PUNCT
ejpam-390	330	1	also	also	ADV
ejpam-390	330	2	,	,	PUNCT
ejpam-390	330	3	1−	1−	NUM
ejpam-390	330	4	f(−λy	f(−λy	NOUN
ejpam-390	330	5	)	)	PUNCT
ejpam-390	330	6	=	=	SYM
ejpam-390	330	7	f(λy	f(λy	NOUN
ejpam-390	330	8	)	)	PUNCT
ejpam-390	330	9	and	and	CCONJ
ejpam-390	330	10	so	so	ADV
ejpam-390	330	11	,	,	PUNCT
ejpam-390	330	12	fy	fy	PROPN
ejpam-390	330	13	(	(	PUNCT
ejpam-390	330	14	y	y	NOUN
ejpam-390	330	15	)	)	PUNCT
ejpam-390	330	16	=	=	SYM
ejpam-390	330	17	2	2	NUM
ejpam-390	330	18	f	f	X
ejpam-390	330	19	(	(	PUNCT
ejpam-390	330	20	y)f(λy	y)f(λy	NUM
ejpam-390	330	21	)	)	PUNCT
ejpam-390	330	22	and	and	CCONJ
ejpam-390	330	23	y	y	PROPN
ejpam-390	330	24	∼	∼	NOUN
ejpam-390	330	25	sde2(λ	sde2(λ	NOUN
ejpam-390	330	26	)	)	PUNCT
ejpam-390	330	27	.	.	PUNCT
ejpam-390	331	1	k.	k.	PROPN
ejpam-390	331	2	jagannathan	jagannathan	PROPN
ejpam-390	331	3	,	,	PUNCT
ejpam-390	331	4	a.	a.	PROPN
ejpam-390	331	5	gupta	gupta	PROPN
ejpam-390	331	6	,	,	PUNCT
ejpam-390	331	7	and	and	CCONJ
ejpam-390	331	8	t.	t.	PROPN
ejpam-390	331	9	nguyen	nguyen	PROPN
ejpam-390	331	10	/	/	SYM
ejpam-390	331	11	eur	eur	PROPN
ejpam-390	331	12	.	.	PUNCT
ejpam-390	332	1	j.	j.	PROPN
ejpam-390	332	2	pure	pure	PROPN
ejpam-390	332	3	appl	appl	PROPN
ejpam-390	332	4	.	.	PROPN
ejpam-390	332	5	math	math	PROPN
ejpam-390	332	6	,	,	PUNCT
ejpam-390	332	7	2	2	NUM
ejpam-390	332	8	(	(	PUNCT
ejpam-390	332	9	2009	2009	NUM
ejpam-390	332	10	)	)	PUNCT
ejpam-390	332	11	,	,	PUNCT
ejpam-390	332	12	(	(	PUNCT
ejpam-390	332	13	1	1	NUM
ejpam-390	332	14	-	-	SYM
ejpam-390	332	15	20	20	NUM
ejpam-390	332	16	)	)	PUNCT
ejpam-390	332	17	15	15	NUM
ejpam-390	332	18	note	note	NOUN
ejpam-390	332	19	.	.	PUNCT
ejpam-390	333	1	the	the	DET
ejpam-390	333	2	above	above	ADJ
ejpam-390	333	3	theorem	theorem	NOUN
ejpam-390	333	4	is	be	AUX
ejpam-390	333	5	helpful	helpful	ADJ
ejpam-390	333	6	in	in	ADP
ejpam-390	333	7	obtaining	obtain	VERB
ejpam-390	333	8	a	a	DET
ejpam-390	333	9	stochastic	stochastic	ADJ
ejpam-390	333	10	representation	representation	NOUN
ejpam-390	333	11	of	of	ADP
ejpam-390	333	12	any	any	DET
ejpam-390	333	13	symmetric	symmetric	ADJ
ejpam-390	333	14	distribution	distribution	NOUN
ejpam-390	333	15	function	function	NOUN
ejpam-390	333	16	f	f	NOUN
ejpam-390	333	17	,	,	PUNCT
ejpam-390	333	18	that	that	SCONJ
ejpam-390	333	19	we	we	PRON
ejpam-390	333	20	wish	wish	VERB
ejpam-390	333	21	to	to	PART
ejpam-390	333	22	use	use	VERB
ejpam-390	333	23	as	as	ADP
ejpam-390	333	24	a	a	DET
ejpam-390	333	25	generator	generator	NOUN
ejpam-390	333	26	of	of	ADP
ejpam-390	333	27	a	a	DET
ejpam-390	333	28	skewed	skewed	ADJ
ejpam-390	333	29	family	family	NOUN
ejpam-390	333	30	of	of	ADP
ejpam-390	333	31	distributions	distribution	NOUN
ejpam-390	333	32	.	.	PUNCT
ejpam-390	334	1	k.	k.	PROPN
ejpam-390	334	2	jagannathan	jagannathan	PROPN
ejpam-390	334	3	,	,	PUNCT
ejpam-390	334	4	a.	a.	PROPN
ejpam-390	334	5	gupta	gupta	PROPN
ejpam-390	334	6	,	,	PUNCT
ejpam-390	334	7	and	and	CCONJ
ejpam-390	334	8	t.	t.	PROPN
ejpam-390	334	9	nguyen	nguyen	PROPN
ejpam-390	334	10	/	/	SYM
ejpam-390	334	11	eur	eur	PROPN
ejpam-390	334	12	.	.	PUNCT
ejpam-390	335	1	j.	j.	PROPN
ejpam-390	335	2	pure	pure	PROPN
ejpam-390	335	3	appl	appl	PROPN
ejpam-390	335	4	.	.	PROPN
ejpam-390	335	5	math	math	PROPN
ejpam-390	335	6	,	,	PUNCT
ejpam-390	335	7	2	2	NUM
ejpam-390	335	8	(	(	PUNCT
ejpam-390	335	9	2009	2009	NUM
ejpam-390	335	10	)	)	PUNCT
ejpam-390	335	11	,	,	PUNCT
ejpam-390	335	12	(	(	PUNCT
ejpam-390	335	13	1	1	NUM
ejpam-390	335	14	-	-	SYM
ejpam-390	335	15	20	20	NUM
ejpam-390	335	16	)	)	PUNCT
ejpam-390	335	17	16	16	NUM
ejpam-390	335	18	-50	-50	PUNCT
ejpam-390	335	19	-40	-40	PROPN
ejpam-390	335	20	-30	-30	NUM
ejpam-390	335	21	-20	-20	NUM
ejpam-390	335	22	-10	-10	SYM
ejpam-390	335	23	0	0	NUM
ejpam-390	335	24	10	10	NUM
ejpam-390	335	25	20	20	NUM
ejpam-390	335	26	30	30	NUM
ejpam-390	335	27	40	40	NUM
ejpam-390	335	28	50	50	NUM
ejpam-390	335	29	0	0	NUM
ejpam-390	335	30	0.005	0.005	NUM
ejpam-390	335	31	0.01	0.01	NUM
ejpam-390	335	32	0.015	0.015	NUM
ejpam-390	335	33	0.02	0.02	NUM
ejpam-390	335	34	0.025	0.025	NUM
ejpam-390	335	35	0.03	0.03	NUM
ejpam-390	335	36	0.035	0.035	NUM
ejpam-390	335	37	0.04	0.04	NUM
ejpam-390	335	38	0.045	0.045	NUM
ejpam-390	335	39	0.05	0.05	NUM
ejpam-390	335	40	a=-20,b=.1	a=-20,b=.1	ADP
ejpam-390	335	41	a=-20,b=1	a=-20,b=1	NOUN
ejpam-390	335	42	a=-20,b=10	a=-20,b=10	NOUN
ejpam-390	335	43	a=-20,b=50	a=-20,b=50	ADJ
ejpam-390	335	44	-50	-50	PUNCT
ejpam-390	335	45	-40	-40	PROPN
ejpam-390	335	46	-30	-30	NUM
ejpam-390	335	47	-20	-20	NUM
ejpam-390	335	48	-10	-10	SYM
ejpam-390	335	49	0	0	NUM
ejpam-390	336	1	10	10	NUM
ejpam-390	336	2	20	20	NUM
ejpam-390	336	3	30	30	NUM
ejpam-390	336	4	40	40	NUM
ejpam-390	336	5	50	50	NUM
ejpam-390	336	6	0	0	NUM
ejpam-390	336	7	0.02	0.02	NUM
ejpam-390	336	8	0.04	0.04	NUM
ejpam-390	336	9	0.06	0.06	NUM
ejpam-390	336	10	0.08	0.08	NUM
ejpam-390	336	11	0.1	0.1	NUM
ejpam-390	336	12	0.12	0.12	NUM
ejpam-390	336	13	0.14	0.14	NUM
ejpam-390	336	14	0.16	0.16	NUM
ejpam-390	336	15	0.18	0.18	NUM
ejpam-390	336	16	0.2	0.2	NUM
ejpam-390	336	17	a=-5,b=.1	a=-5,b=.1	CCONJ
ejpam-390	336	18	a=-5,b=1	a=-5,b=1	PROPN
ejpam-390	336	19	a=-5,b=10	a=-5,b=10	NUM
ejpam-390	336	20	a=-5,b=50	a=-5,b=50	ADJ
ejpam-390	336	21	figure	figure	NOUN
ejpam-390	336	22	2	2	NUM
ejpam-390	336	23	:	:	PUNCT
ejpam-390	336	24	graphs	graph	NOUN
ejpam-390	336	25	of	of	ADP
ejpam-390	336	26	the	the	DET
ejpam-390	336	27	sde1(a	sde1(a	PROPN
ejpam-390	336	28	,	,	PUNCT
ejpam-390	336	29	b	b	NOUN
ejpam-390	336	30	)	)	PUNCT
ejpam-390	336	31	density	density	NOUN
ejpam-390	336	32	fun	fun	NOUN
ejpam-390	336	33	tion	tion	NOUN
ejpam-390	336	34	for	for	ADP
ejpam-390	336	35	a=-20	a=-20	PROPN
ejpam-390	336	36	,	,	PUNCT
ejpam-390	336	37	-5	-5	PUNCT
ejpam-390	336	38	and	and	CCONJ
ejpam-390	336	39	b	b	X
ejpam-390	336	40	=	=	SYM
ejpam-390	336	41	.1,1,10,50	.1,1,10,50	PROPN
ejpam-390	336	42	.	.	PUNCT
ejpam-390	337	1	k.	k.	PROPN
ejpam-390	337	2	jagannathan	jagannathan	PROPN
ejpam-390	337	3	,	,	PUNCT
ejpam-390	337	4	a.	a.	PROPN
ejpam-390	337	5	gupta	gupta	PROPN
ejpam-390	337	6	,	,	PUNCT
ejpam-390	337	7	and	and	CCONJ
ejpam-390	337	8	t.	t.	PROPN
ejpam-390	337	9	nguyen	nguyen	PROPN
ejpam-390	337	10	/	/	SYM
ejpam-390	337	11	eur	eur	PROPN
ejpam-390	337	12	.	.	PUNCT
ejpam-390	338	1	j.	j.	PROPN
ejpam-390	338	2	pure	pure	PROPN
ejpam-390	338	3	appl	appl	PROPN
ejpam-390	338	4	.	.	PROPN
ejpam-390	338	5	math	math	PROPN
ejpam-390	338	6	,	,	PUNCT
ejpam-390	338	7	2	2	NUM
ejpam-390	338	8	(	(	PUNCT
ejpam-390	338	9	2009	2009	NUM
ejpam-390	338	10	)	)	PUNCT
ejpam-390	338	11	,	,	PUNCT
ejpam-390	338	12	(	(	PUNCT
ejpam-390	338	13	1	1	NUM
ejpam-390	338	14	-	-	SYM
ejpam-390	338	15	20	20	NUM
ejpam-390	338	16	)	)	PUNCT
ejpam-390	338	17	17	17	NUM
ejpam-390	338	18	-50	-50	PUNCT
ejpam-390	338	19	-40	-40	PROPN
ejpam-390	338	20	-30	-30	NUM
ejpam-390	338	21	-20	-20	NUM
ejpam-390	338	22	-10	-10	SYM
ejpam-390	338	23	0	0	NUM
ejpam-390	339	1	10	10	NUM
ejpam-390	339	2	20	20	NUM
ejpam-390	339	3	30	30	NUM
ejpam-390	339	4	40	40	NUM
ejpam-390	339	5	50	50	NUM
ejpam-390	339	6	0	0	NUM
ejpam-390	339	7	0.02	0.02	NUM
ejpam-390	339	8	0.04	0.04	NUM
ejpam-390	339	9	0.06	0.06	NUM
ejpam-390	339	10	0.08	0.08	NUM
ejpam-390	339	11	0.1	0.1	NUM
ejpam-390	339	12	0.12	0.12	NUM
ejpam-390	339	13	0.14	0.14	NUM
ejpam-390	339	14	0.16	0.16	NUM
ejpam-390	339	15	0.18	0.18	NUM
ejpam-390	339	16	0.2	0.2	NUM
ejpam-390	339	17	a=5,b=.1	a=5,b=.1	CCONJ
ejpam-390	339	18	a=5,b=1	a=5,b=1	PROPN
ejpam-390	339	19	a=5,b=10	a=5,b=10	ADJ
ejpam-390	339	20	a=5,b=50	a=5,b=50	NOUN
ejpam-390	339	21	-50	-50	PUNCT
ejpam-390	339	22	-40	-40	PROPN
ejpam-390	339	23	-30	-30	NUM
ejpam-390	339	24	-20	-20	NUM
ejpam-390	339	25	-10	-10	SYM
ejpam-390	339	26	0	0	NUM
ejpam-390	339	27	10	10	NUM
ejpam-390	339	28	20	20	NUM
ejpam-390	339	29	30	30	NUM
ejpam-390	339	30	40	40	NUM
ejpam-390	339	31	50	50	NUM
ejpam-390	339	32	0	0	NUM
ejpam-390	339	33	0.005	0.005	NUM
ejpam-390	339	34	0.01	0.01	NUM
ejpam-390	339	35	0.015	0.015	NUM
ejpam-390	339	36	0.02	0.02	NUM
ejpam-390	339	37	0.025	0.025	NUM
ejpam-390	339	38	0.03	0.03	NUM
ejpam-390	339	39	0.035	0.035	NUM
ejpam-390	339	40	0.04	0.04	NUM
ejpam-390	339	41	0.045	0.045	NUM
ejpam-390	339	42	0.05	0.05	NUM
ejpam-390	339	43	a=20,b=.1	a=20,b=.1	NOUN
ejpam-390	339	44	a=20,b=1	a=20,b=1	NOUN
ejpam-390	339	45	a=20,b=10	a=20,b=10	DET
ejpam-390	339	46	a=20,b=50	a=20,b=50	ADJ
ejpam-390	339	47	figure	figure	NOUN
ejpam-390	339	48	3	3	NUM
ejpam-390	339	49	:	:	PUNCT
ejpam-390	339	50	graphs	graph	NOUN
ejpam-390	339	51	of	of	ADP
ejpam-390	339	52	the	the	DET
ejpam-390	339	53	sde1(a	sde1(a	PROPN
ejpam-390	339	54	,	,	PUNCT
ejpam-390	339	55	b	b	NOUN
ejpam-390	339	56	)	)	PUNCT
ejpam-390	339	57	density	density	NOUN
ejpam-390	339	58	fun	fun	NOUN
ejpam-390	339	59	tion	tion	NOUN
ejpam-390	339	60	for	for	ADP
ejpam-390	339	61	a=5,20	a=5,20	PROPN
ejpam-390	339	62	and	and	CCONJ
ejpam-390	339	63	b	b	NOUN
ejpam-390	339	64	=	=	SYM
ejpam-390	339	65	.1,1,10,50	.1,1,10,50	PROPN
ejpam-390	339	66	.	.	PUNCT
ejpam-390	340	1	k.	k.	PROPN
ejpam-390	340	2	jagannathan	jagannathan	PROPN
ejpam-390	340	3	,	,	PUNCT
ejpam-390	340	4	a.	a.	PROPN
ejpam-390	340	5	gupta	gupta	PROPN
ejpam-390	340	6	,	,	PUNCT
ejpam-390	340	7	and	and	CCONJ
ejpam-390	340	8	t.	t.	PROPN
ejpam-390	340	9	nguyen	nguyen	PROPN
ejpam-390	340	10	/	/	SYM
ejpam-390	340	11	eur	eur	PROPN
ejpam-390	340	12	.	.	PUNCT
ejpam-390	341	1	j.	j.	PROPN
ejpam-390	341	2	pure	pure	PROPN
ejpam-390	341	3	appl	appl	PROPN
ejpam-390	341	4	.	.	PROPN
ejpam-390	341	5	math	math	PROPN
ejpam-390	341	6	,	,	PUNCT
ejpam-390	341	7	2	2	NUM
ejpam-390	341	8	(	(	PUNCT
ejpam-390	341	9	2009	2009	NUM
ejpam-390	341	10	)	)	PUNCT
ejpam-390	341	11	,	,	PUNCT
ejpam-390	341	12	(	(	PUNCT
ejpam-390	341	13	1	1	NUM
ejpam-390	341	14	-	-	SYM
ejpam-390	341	15	20	20	NUM
ejpam-390	341	16	)	)	PUNCT
ejpam-390	341	17	18	18	NUM
ejpam-390	341	18	-50	-50	PUNCT
ejpam-390	341	19	-40	-40	PROPN
ejpam-390	341	20	-30	-30	NUM
ejpam-390	341	21	-20	-20	NUM
ejpam-390	341	22	-10	-10	SYM
ejpam-390	341	23	0	0	NUM
ejpam-390	342	1	10	10	NUM
ejpam-390	342	2	20	20	NUM
ejpam-390	342	3	30	30	NUM
ejpam-390	342	4	40	40	NUM
ejpam-390	342	5	50	50	NUM
ejpam-390	342	6	0	0	NUM
ejpam-390	342	7	0.002	0.002	NUM
ejpam-390	342	8	0.004	0.004	NUM
ejpam-390	342	9	0.006	0.006	NUM
ejpam-390	342	10	0.008	0.008	NUM
ejpam-390	342	11	0.01	0.01	NUM
ejpam-390	342	12	0.012	0.012	NUM
ejpam-390	342	13	a=90,b=.1	a=90,b=.1	ADV
ejpam-390	342	14	a=90,b=1	a=90,b=1	NOUN
ejpam-390	342	15	a=90,b=10	a=90,b=10	NOUN
ejpam-390	342	16	a=90,b=50	a=90,b=50	ADJ
ejpam-390	342	17	figure	figure	NOUN
ejpam-390	342	18	4	4	NUM
ejpam-390	342	19	:	:	PUNCT
ejpam-390	342	20	graphs	graph	NOUN
ejpam-390	342	21	of	of	ADP
ejpam-390	342	22	the	the	DET
ejpam-390	342	23	sde1(a	sde1(a	PROPN
ejpam-390	342	24	,	,	PUNCT
ejpam-390	342	25	b	b	NOUN
ejpam-390	342	26	)	)	PUNCT
ejpam-390	342	27	density	density	NOUN
ejpam-390	342	28	fun	fun	NOUN
ejpam-390	342	29	tion	tion	NOUN
ejpam-390	342	30	for	for	ADP
ejpam-390	342	31	a=90	a=90	PROPN
ejpam-390	342	32	and	and	CCONJ
ejpam-390	342	33	b	b	X
ejpam-390	342	34	=	=	SYM
ejpam-390	342	35	.1,1,10,50	.1,1,10,50	PROPN
ejpam-390	342	36	.	.	PUNCT
ejpam-390	343	1	k.	k.	PROPN
ejpam-390	343	2	jagannathan	jagannathan	PROPN
ejpam-390	343	3	,	,	PUNCT
ejpam-390	343	4	a.	a.	PROPN
ejpam-390	343	5	gupta	gupta	PROPN
ejpam-390	343	6	,	,	PUNCT
ejpam-390	343	7	and	and	CCONJ
ejpam-390	343	8	t.	t.	PROPN
ejpam-390	343	9	nguyen	nguyen	PROPN
ejpam-390	343	10	/	/	SYM
ejpam-390	343	11	eur	eur	PROPN
ejpam-390	343	12	.	.	PUNCT
ejpam-390	344	1	j.	j.	PROPN
ejpam-390	344	2	pure	pure	PROPN
ejpam-390	344	3	appl	appl	PROPN
ejpam-390	344	4	.	.	PROPN
ejpam-390	344	5	math	math	PROPN
ejpam-390	344	6	,	,	PUNCT
ejpam-390	344	7	2	2	NUM
ejpam-390	344	8	(	(	PUNCT
ejpam-390	344	9	2009	2009	NUM
ejpam-390	344	10	)	)	PUNCT
ejpam-390	344	11	,	,	PUNCT
ejpam-390	344	12	(	(	PUNCT
ejpam-390	344	13	1	1	NUM
ejpam-390	344	14	-	-	SYM
ejpam-390	344	15	20	20	NUM
ejpam-390	344	16	)	)	PUNCT
ejpam-390	344	17	19	19	NUM
ejpam-390	344	18	-50	-50	PUNCT
ejpam-390	344	19	-40	-40	PROPN
ejpam-390	344	20	-30	-30	NUM
ejpam-390	344	21	-20	-20	NUM
ejpam-390	344	22	-10	-10	SYM
ejpam-390	344	23	0	0	NUM
ejpam-390	344	24	10	10	NUM
ejpam-390	344	25	20	20	NUM
ejpam-390	344	26	30	30	NUM
ejpam-390	344	27	40	40	NUM
ejpam-390	344	28	50	50	NUM
ejpam-390	344	29	0	0	NUM
ejpam-390	344	30	0.1	0.1	NUM
ejpam-390	344	31	0.2	0.2	NUM
ejpam-390	344	32	0.3	0.3	NUM
ejpam-390	344	33	0.4	0.4	NUM
ejpam-390	344	34	0.5	0.5	NUM
ejpam-390	344	35	0.6	0.6	NUM
ejpam-390	344	36	0.7	0.7	NUM
ejpam-390	344	37	lambda	lambda	NOUN
ejpam-390	344	38	=	=	SYM
ejpam-390	344	39	-100	-100	PROPN
ejpam-390	344	40	lambda	lambda	NOUN
ejpam-390	344	41	=	=	SYM
ejpam-390	344	42	-50	-50	PUNCT
ejpam-390	345	1	lambda	lambda	NOUN
ejpam-390	345	2	=	=	SYM
ejpam-390	345	3	-10	-10	PUNCT
ejpam-390	345	4	lambda	lambda	NOUN
ejpam-390	345	5	=	=	SYM
ejpam-390	346	1	-1	-1	NOUN
ejpam-390	346	2	-50	-50	PUNCT
ejpam-390	346	3	-40	-40	PROPN
ejpam-390	346	4	-30	-30	NUM
ejpam-390	346	5	-20	-20	NUM
ejpam-390	346	6	-10	-10	SYM
ejpam-390	346	7	0	0	NUM
ejpam-390	346	8	10	10	NUM
ejpam-390	346	9	20	20	NUM
ejpam-390	346	10	30	30	NUM
ejpam-390	346	11	40	40	NUM
ejpam-390	346	12	50	50	NUM
ejpam-390	346	13	0	0	NUM
ejpam-390	346	14	0.1	0.1	NUM
ejpam-390	346	15	0.2	0.2	NUM
ejpam-390	346	16	0.3	0.3	NUM
ejpam-390	346	17	0.4	0.4	NUM
ejpam-390	346	18	0.5	0.5	NUM
ejpam-390	346	19	0.6	0.6	NUM
ejpam-390	346	20	0.7	0.7	NUM
ejpam-390	346	21	lambda	lambda	NOUN
ejpam-390	346	22	=	=	SYM
ejpam-390	346	23	100	100	NUM
ejpam-390	346	24	lambda	lambda	NOUN
ejpam-390	346	25	=	=	SYM
ejpam-390	346	26	50	50	NUM
ejpam-390	346	27	lambda	lambda	NOUN
ejpam-390	346	28	=	=	SYM
ejpam-390	346	29	10	10	NUM
ejpam-390	346	30	lambda	lambda	NOUN
ejpam-390	346	31	=	=	SYM
ejpam-390	346	32	1	1	NUM
ejpam-390	346	33	figure	figure	NOUN
ejpam-390	346	34	5	5	NUM
ejpam-390	346	35	:	:	PUNCT
ejpam-390	346	36	graphs	graph	NOUN
ejpam-390	346	37	of	of	ADP
ejpam-390	346	38	the	the	DET
ejpam-390	346	39	sde2(λ	sde2(λ	NOUN
ejpam-390	346	40	)	)	PUNCT
ejpam-390	346	41	density	density	NOUN
ejpam-390	346	42	fun	fun	NOUN
ejpam-390	346	43	tion	tion	NOUN
ejpam-390	346	44	for	for	ADP
ejpam-390	346	45	λ	λ	PROPN
ejpam-390	346	46	=	=	PRON
ejpam-390	346	47	−100,−50,−10,−1	−100,−50,−10,−1	PROPN
ejpam-390	346	48	,	,	PUNCT
ejpam-390	346	49	1	1	NUM
ejpam-390	346	50	,	,	PUNCT
ejpam-390	346	51	10	10	NUM
ejpam-390	346	52	,	,	PUNCT
ejpam-390	346	53	50	50	NUM
ejpam-390	346	54	,	,	PUNCT
ejpam-390	346	55	100	100	NUM
ejpam-390	346	56	.	.	PUNCT
ejpam-390	347	1	references	reference	NOUN
ejpam-390	347	2	20	20	NUM
ejpam-390	347	3	references	reference	NOUN
ejpam-390	347	4	[	[	X
ejpam-390	347	5	1	1	NUM
ejpam-390	347	6	]	]	X
ejpam-390	347	7	azzalini	azzalini	PROPN
ejpam-390	347	8	,	,	PUNCT
ejpam-390	347	9	a.	a.	NOUN
ejpam-390	347	10	(	(	PUNCT
ejpam-390	347	11	1985	1985	NUM
ejpam-390	347	12	)	)	PUNCT
ejpam-390	347	13	.	.	PUNCT
ejpam-390	348	1	a	a	DET
ejpam-390	348	2	class	class	NOUN
ejpam-390	348	3	of	of	ADP
ejpam-390	348	4	distributions	distribution	NOUN
ejpam-390	348	5	that	that	PRON
ejpam-390	348	6	includes	include	VERB
ejpam-390	348	7	the	the	DET
ejpam-390	348	8	normal	normal	ADJ
ejpam-390	348	9	ones	one	NOUN
ejpam-390	348	10	,	,	PUNCT
ejpam-390	348	11	scand	scand	PROPN
ejpam-390	348	12	.	.	PUNCT
ejpam-390	349	1	j.	j.	PROPN
ejpam-390	349	2	statist	statist	PROPN
ejpam-390	349	3	.	.	PUNCT
ejpam-390	350	1	12	12	NUM
ejpam-390	350	2	,	,	PUNCT
ejpam-390	350	3	171	171	NUM
ejpam-390	350	4	-	-	SYM
ejpam-390	350	5	178	178	NUM
ejpam-390	350	6	.	.	PUNCT
ejpam-390	351	1	[	[	X
ejpam-390	351	2	2	2	NUM
ejpam-390	351	3	]	]	X
ejpam-390	351	4	gupta	gupta	PROPN
ejpam-390	351	5	,	,	PUNCT
ejpam-390	351	6	a.k	a.k	PROPN
ejpam-390	351	7	.	.	PROPN
ejpam-390	351	8	,	,	PUNCT
ejpam-390	351	9	chang	chang	PROPN
ejpam-390	351	10	,	,	PUNCT
ejpam-390	351	11	f.c	f.c	PROPN
ejpam-390	351	12	.	.	PROPN
ejpam-390	351	13	and	and	CCONJ
ejpam-390	351	14	huang	huang	PROPN
ejpam-390	351	15	,	,	PUNCT
ejpam-390	351	16	w.j	w.j	PROPN
ejpam-390	351	17	.	.	PROPN
ejpam-390	351	18	(	(	PUNCT
ejpam-390	351	19	2002	2002	NUM
ejpam-390	351	20	)	)	PUNCT
ejpam-390	351	21	.	.	PUNCT
ejpam-390	352	1	some	some	DET
ejpam-390	352	2	skew	skew	ADJ
ejpam-390	352	3	symmetric	symmetric	ADJ
ejpam-390	352	4	models	model	NOUN
ejpam-390	352	5	,	,	PUNCT
ejpam-390	352	6	random	random	ADJ
ejpam-390	352	7	oper	oper	NOUN
ejpam-390	352	8	.	.	PUNCT
ejpam-390	353	1	stochastic	stochastic	ADJ
ejpam-390	353	2	equations	equation	NOUN
ejpam-390	353	3	20	20	NUM
ejpam-390	353	4	,	,	PUNCT
ejpam-390	353	5	89	89	NUM
ejpam-390	353	6	-	-	SYM
ejpam-390	353	7	103	103	NUM
ejpam-390	353	8	.	.	PUNCT
ejpam-390	354	1	[	[	X
ejpam-390	354	2	3	3	NUM
ejpam-390	354	3	]	]	X
ejpam-390	354	4	gupta	gupta	PROPN
ejpam-390	354	5	,	,	PUNCT
ejpam-390	354	6	a.k	a.k	PROPN
ejpam-390	354	7	.	.	PROPN
ejpam-390	354	8	,	,	PUNCT
ejpam-390	354	9	chang	chang	PROPN
ejpam-390	354	10	,	,	PUNCT
ejpam-390	354	11	f.c	f.c	PROPN
ejpam-390	354	12	.	.	PROPN
ejpam-390	354	13	(	(	PUNCT
ejpam-390	354	14	2003	2003	NUM
ejpam-390	354	15	)	)	PUNCT
ejpam-390	354	16	.	.	PUNCT
ejpam-390	355	1	multivariate	multivariate	NOUN
ejpam-390	355	2	skew	skew	VERB
ejpam-390	355	3	symmetric	symmetric	ADJ
ejpam-390	355	4	distributions	distribution	NOUN
ejpam-390	355	5	,	,	PUNCT
ejpam-390	355	6	appl	appl	PROPN
ejpam-390	355	7	.	.	PROPN
ejpam-390	355	8	math	math	PROPN
ejpam-390	355	9	.	.	PUNCT
ejpam-390	356	1	lect	lect	PROPN
ejpam-390	356	2	.	.	PUNCT
ejpam-390	357	1	16	16	NUM
ejpam-390	357	2	,	,	PUNCT
ejpam-390	357	3	643	643	NUM
ejpam-390	357	4	-	-	SYM
ejpam-390	357	5	646	646	NUM
ejpam-390	357	6	.	.	PUNCT
ejpam-390	358	1	[	[	X
ejpam-390	358	2	4	4	NUM
ejpam-390	358	3	]	]	X
ejpam-390	358	4	gupta	gupta	PROPN
ejpam-390	358	5	,	,	PUNCT
ejpam-390	358	6	a.k	a.k	PROPN
ejpam-390	358	7	.	.	PROPN
ejpam-390	358	8	,	,	PUNCT
ejpam-390	358	9	nguyen	nguyen	PROPN
ejpam-390	358	10	,	,	PUNCT
ejpam-390	358	11	t.t	t.t	PROPN
ejpam-390	358	12	.	.	PROPN
ejpam-390	358	13	,	,	PUNCT
ejpam-390	358	14	sanqui	sanqui	PROPN
ejpam-390	358	15	,	,	PUNCT
ejpam-390	358	16	j.a.t	j.a.t	NOUN
ejpam-390	358	17	.	.	PUNCT
ejpam-390	359	1	(	(	PUNCT
ejpam-390	359	2	2004	2004	NUM
ejpam-390	359	3	)	)	PUNCT
ejpam-390	359	4	.	.	PUNCT
ejpam-390	360	1	characterization	characterization	NOUN
ejpam-390	360	2	of	of	ADP
ejpam-390	360	3	the	the	DET
ejpam-390	360	4	skew	skew	ADJ
ejpam-390	360	5	-	-	PUNCT
ejpam-390	360	6	normal	normal	ADJ
ejpam-390	360	7	distribution	distribution	NOUN
ejpam-390	360	8	,	,	PUNCT
ejpam-390	360	9	ann	ann	PROPN
ejpam-390	360	10	.	.	PROPN
ejpam-390	360	11	inst	inst	PROPN
ejpam-390	360	12	.	.	PUNCT
ejpam-390	361	1	statist	statist	PROPN
ejpam-390	361	2	.	.	PUNCT
ejpam-390	362	1	math	math	NOUN
ejpam-390	362	2	.	.	PUNCT
ejpam-390	363	1	56(2	56(2	X
ejpam-390	363	2	)	)	PUNCT
ejpam-390	363	3	,	,	PUNCT
ejpam-390	363	4	351	351	NUM
ejpam-390	363	5	-	-	SYM
ejpam-390	363	6	360	360	NUM
ejpam-390	363	7	.	.	PUNCT
ejpam-390	364	1	[	[	X
ejpam-390	364	2	5	5	NUM
ejpam-390	364	3	]	]	X
ejpam-390	364	4	hajék	hajék	NOUN
ejpam-390	364	5	,	,	PUNCT
ejpam-390	364	6	j.	j.	PROPN
ejpam-390	364	7	(	(	PUNCT
ejpam-390	364	8	1969	1969	NUM
ejpam-390	364	9	)	)	PUNCT
ejpam-390	364	10	.	.	PUNCT
ejpam-390	365	1	nonparametric	nonparametric	PROPN
ejpam-390	365	2	statistics	statistic	NOUN
ejpam-390	365	3	.	.	PUNCT
ejpam-390	366	1	holden	holden	PROPN
ejpam-390	366	2	-	-	PUNCT
ejpam-390	366	3	day	day	PROPN
ejpam-390	366	4	,	,	PUNCT
ejpam-390	366	5	san	san	PROPN
ejpam-390	366	6	fransisco	fransisco	PROPN
ejpam-390	366	7	.	.	PUNCT
ejpam-390	367	1	[	[	X
ejpam-390	367	2	6	6	NUM
ejpam-390	367	3	]	]	X
ejpam-390	367	4	hinkley	hinkley	PROPN
ejpam-390	367	5	,	,	PUNCT
ejpam-390	367	6	d.v	d.v	PROPN
ejpam-390	367	7	.	.	PROPN
ejpam-390	367	8	and	and	CCONJ
ejpam-390	367	9	revankar	revankar	PROPN
ejpam-390	367	10	,	,	PUNCT
ejpam-390	367	11	n.s	n.s	PROPN
ejpam-390	367	12	.	.	PROPN
ejpam-390	367	13	(	(	PUNCT
ejpam-390	367	14	1977	1977	NUM
ejpam-390	367	15	)	)	PUNCT
ejpam-390	367	16	.	.	PUNCT
ejpam-390	368	1	estimation	estimation	NOUN
ejpam-390	368	2	of	of	ADP
ejpam-390	368	3	the	the	DET
ejpam-390	368	4	pareto	pareto	ADJ
ejpam-390	368	5	law	law	NOUN
ejpam-390	368	6	from	from	ADP
ejpam-390	368	7	underreported	underreported	ADJ
ejpam-390	368	8	data	datum	NOUN
ejpam-390	368	9	,	,	PUNCT
ejpam-390	368	10	j.	j.	PROPN
ejpam-390	368	11	econometrics	econometrics	PROPN
ejpam-390	368	12	5	5	NUM
ejpam-390	368	13	,	,	PUNCT
ejpam-390	368	14	1	1	NUM
ejpam-390	368	15	-	-	SYM
ejpam-390	368	16	11	11	NUM
ejpam-390	368	17	.	.	PUNCT
ejpam-390	369	1	[	[	X
ejpam-390	369	2	7	7	NUM
ejpam-390	369	3	]	]	SYM
ejpam-390	369	4	holla	holla	NOUN
ejpam-390	369	5	,	,	PUNCT
ejpam-390	369	6	m.s	m.s	PROPN
ejpam-390	369	7	.	.	PROPN
ejpam-390	369	8	and	and	CCONJ
ejpam-390	369	9	bhattacharya	bhattacharya	PROPN
ejpam-390	369	10	,	,	PUNCT
ejpam-390	369	11	s.k	s.k	PROPN
ejpam-390	369	12	.	.	PROPN
ejpam-390	369	13	(	(	PUNCT
ejpam-390	369	14	1968	1968	NUM
ejpam-390	369	15	)	)	PUNCT
ejpam-390	369	16	.	.	PUNCT
ejpam-390	370	1	on	on	ADP
ejpam-390	370	2	a	a	DET
ejpam-390	370	3	compound	compound	NOUN
ejpam-390	370	4	gaussian	gaussian	ADJ
ejpam-390	370	5	distribution	distribution	NOUN
ejpam-390	370	6	,	,	PUNCT
ejpam-390	370	7	ann	ann	PROPN
ejpam-390	370	8	.	.	PROPN
ejpam-390	370	9	inst	inst	PROPN
ejpam-390	370	10	.	.	PUNCT
ejpam-390	371	1	statist	statist	PROPN
ejpam-390	371	2	.	.	PUNCT
ejpam-390	372	1	math	math	NOUN
ejpam-390	372	2	.	.	PUNCT
ejpam-390	373	1	20	20	NUM
ejpam-390	373	2	,	,	PUNCT
ejpam-390	373	3	331	331	NUM
ejpam-390	373	4	-	-	SYM
ejpam-390	373	5	336	336	NUM
ejpam-390	373	6	.	.	PUNCT
ejpam-390	374	1	[	[	X
ejpam-390	374	2	8	8	NUM
ejpam-390	374	3	]	]	X
ejpam-390	374	4	kozubowski	kozubowski	PROPN
ejpam-390	374	5	,	,	PUNCT
ejpam-390	374	6	t.j	t.j	PROPN
ejpam-390	374	7	.	.	PROPN
ejpam-390	374	8	and	and	CCONJ
ejpam-390	374	9	podgórski	podgórski	PROPN
ejpam-390	374	10	,	,	PUNCT
ejpam-390	374	11	k.	k.	PROPN
ejpam-390	374	12	(	(	PUNCT
ejpam-390	374	13	2000	2000	NUM
ejpam-390	374	14	)	)	PUNCT
ejpam-390	374	15	.	.	PUNCT
ejpam-390	375	1	asymetric	asymetric	ADJ
ejpam-390	375	2	laplace	laplace	NOUN
ejpam-390	375	3	distributions	distribution	NOUN
ejpam-390	375	4	,	,	PUNCT
ejpam-390	375	5	math	math	NOUN
ejpam-390	375	6	.	.	PUNCT
ejpam-390	376	1	sci	sci	PROPN
ejpam-390	376	2	.	.	PROPN
ejpam-390	376	3	25	25	NUM
ejpam-390	376	4	,	,	PUNCT
ejpam-390	376	5	37	37	NUM
ejpam-390	376	6	-	-	SYM
ejpam-390	376	7	46	46	NUM
ejpam-390	376	8	.	.	PUNCT
ejpam-390	377	1	[	[	X
ejpam-390	377	2	9	9	NUM
ejpam-390	377	3	]	]	PUNCT
ejpam-390	377	4	lingappaiah	lingappaiah	PROPN
ejpam-390	377	5	,	,	PUNCT
ejpam-390	377	6	g.s	g.s	PROPN
ejpam-390	377	7	.	.	PROPN
ejpam-390	377	8	(	(	PUNCT
ejpam-390	377	9	1988	1988	NUM
ejpam-390	377	10	)	)	PUNCT
ejpam-390	377	11	.	.	PUNCT
ejpam-390	378	1	on	on	ADP
ejpam-390	378	2	two	two	NUM
ejpam-390	378	3	-	-	PUNCT
ejpam-390	378	4	piece	piece	NOUN
ejpam-390	378	5	double	double	ADJ
ejpam-390	378	6	exponential	exponential	ADJ
ejpam-390	378	7	distribution	distribution	NOUN
ejpam-390	378	8	,	,	PUNCT
ejpam-390	378	9	j.	j.	PROPN
ejpam-390	378	10	korean	korean	PROPN
ejpam-390	378	11	statist	statist	PROPN
ejpam-390	378	12	.	.	PUNCT
ejpam-390	379	1	soc	soc	PROPN
ejpam-390	379	2	.	.	PUNCT
ejpam-390	380	1	17(1	17(1	NUM
ejpam-390	380	2	)	)	PUNCT
ejpam-390	380	3	,	,	PUNCT
ejpam-390	380	4	46	46	NUM
ejpam-390	380	5	-	-	SYM
ejpam-390	380	6	55	55	NUM
ejpam-390	380	7	.	.	PUNCT
ejpam-390	381	1	[	[	X
ejpam-390	381	2	10	10	NUM
ejpam-390	381	3	]	]	PUNCT
ejpam-390	381	4	lukacs	lukacs	PROPN
ejpam-390	381	5	,	,	PUNCT
ejpam-390	381	6	e.	e.	PROPN
ejpam-390	381	7	(	(	PUNCT
ejpam-390	381	8	1970	1970	NUM
ejpam-390	381	9	)	)	PUNCT
ejpam-390	381	10	characteristic	characteristic	ADJ
ejpam-390	381	11	functions	function	NOUN
ejpam-390	381	12	.	.	PUNCT
ejpam-390	382	1	2nd	2nd	PROPN
ejpam-390	382	2	edition	edition	PROPN
ejpam-390	382	3	,	,	PUNCT
ejpam-390	382	4	griffin	griffin	PROPN
ejpam-390	382	5	,	,	PUNCT
ejpam-390	382	6	london	london	PROPN
ejpam-390	382	7	.	.	PUNCT
ejpam-390	383	1	[	[	X
ejpam-390	383	2	11	11	NUM
ejpam-390	383	3	]	]	X
ejpam-390	383	4	mcgill	mcgill	PROPN
ejpam-390	383	5	,	,	PUNCT
ejpam-390	383	6	w.j	w.j	PROPN
ejpam-390	383	7	.	.	PROPN
ejpam-390	383	8	(	(	PUNCT
ejpam-390	383	9	1962	1962	NUM
ejpam-390	383	10	)	)	PUNCT
ejpam-390	383	11	.	.	PUNCT
ejpam-390	384	1	random	random	ADJ
ejpam-390	384	2	fluctuations	fluctuation	NOUN
ejpam-390	384	3	of	of	ADP
ejpam-390	384	4	response	response	NOUN
ejpam-390	384	5	rate	rate	NOUN
ejpam-390	384	6	,	,	PUNCT
ejpam-390	384	7	psychometrika	psychometrika	X
ejpam-390	384	8	27	27	NUM
ejpam-390	384	9	,	,	PUNCT
ejpam-390	384	10	3	3	NUM
ejpam-390	384	11	-	-	SYM
ejpam-390	384	12	17	17	NUM
ejpam-390	384	13	.	.	PUNCT
ejpam-390	385	1	[	[	X
ejpam-390	385	2	12	12	NUM
ejpam-390	385	3	]	]	PUNCT
ejpam-390	385	4	poiraud	poiraud	NOUN
ejpam-390	385	5	-	-	PUNCT
ejpam-390	385	6	cassanova	cassanova	PROPN
ejpam-390	385	7	,	,	PUNCT
ejpam-390	385	8	s.	s.	PROPN
ejpam-390	385	9	and	and	CCONJ
ejpam-390	385	10	thomas	thomas	PROPN
ejpam-390	385	11	-	-	PUNCT
ejpam-390	385	12	agnan	agnan	PROPN
ejpam-390	385	13	,	,	PUNCT
ejpam-390	385	14	c.	c.	PROPN
ejpam-390	385	15	(	(	PUNCT
ejpam-390	385	16	2000	2000	NUM
ejpam-390	385	17	)	)	PUNCT
ejpam-390	385	18	.	.	PUNCT
ejpam-390	386	1	about	about	ADP
ejpam-390	386	2	monotone	monotone	ADJ
ejpam-390	386	3	regression	regression	NOUN
ejpam-390	386	4	quantiles	quantile	NOUN
ejpam-390	386	5	,	,	PUNCT
ejpam-390	386	6	statist	statist	NOUN
ejpam-390	386	7	.	.	PUNCT
ejpam-390	387	1	probab	probab	PROPN
ejpam-390	387	2	.	.	PUNCT
ejpam-390	388	1	lett	lett	PROPN
ejpam-390	388	2	.	.	PUNCT
ejpam-390	389	1	48	48	NUM
ejpam-390	389	2	,	,	PUNCT
ejpam-390	389	3	101	101	NUM
ejpam-390	389	4	-	-	SYM
ejpam-390	389	5	104	104	NUM
ejpam-390	389	6	.	.	PUNCT