id	sid	tid	token	lemma	pos
ejpam-5604	1	1	european	european	PROPN
ejpam-5604	1	2	journal	journal	PROPN
ejpam-5604	1	3	of	of	ADP
ejpam-5604	1	4	pure	pure	ADJ
ejpam-5604	1	5	and	and	CCONJ
ejpam-5604	1	6	applied	apply	VERB
ejpam-5604	1	7	mathematics	mathematic	NOUN
ejpam-5604	1	8	vol	vol	NOUN
ejpam-5604	1	9	.	.	PROPN
ejpam-5604	2	1	17	17	NUM
ejpam-5604	2	2	,	,	PUNCT
ejpam-5604	2	3	no	no	INTJ
ejpam-5604	2	4	.	.	NOUN
ejpam-5604	2	5	4	4	NUM
ejpam-5604	2	6	,	,	PUNCT
ejpam-5604	2	7	2024	2024	NUM
ejpam-5604	2	8	,	,	PUNCT
ejpam-5604	2	9	3847	3847	NUM
ejpam-5604	2	10	-	-	SYM
ejpam-5604	2	11	3855	3855	NUM
ejpam-5604	2	12	issn	issn	PROPN
ejpam-5604	2	13	1307	1307	NUM
ejpam-5604	2	14	-	-	SYM
ejpam-5604	2	15	5543	5543	NUM
ejpam-5604	2	16	–	–	PUNCT
ejpam-5604	2	17	ejpam.com	ejpam.com	X
ejpam-5604	2	18	published	publish	VERB
ejpam-5604	2	19	by	by	ADP
ejpam-5604	2	20	new	new	PROPN
ejpam-5604	2	21	york	york	PROPN
ejpam-5604	2	22	business	business	PROPN
ejpam-5604	2	23	global	global	ADJ
ejpam-5604	2	24	degenerate	degenerate	ADJ
ejpam-5604	2	25	moments	moment	NOUN
ejpam-5604	2	26	and	and	CCONJ
ejpam-5604	2	27	expectation	expectation	NOUN
ejpam-5604	2	28	of	of	ADP
ejpam-5604	2	29	monomials	monomial	NOUN
ejpam-5604	2	30	dae	dae	VERB
ejpam-5604	2	31	san	san	PROPN
ejpam-5604	2	32	kim1	kim1	PROPN
ejpam-5604	2	33	,	,	PUNCT
ejpam-5604	2	34	taekyun	taekyun	PROPN
ejpam-5604	2	35	kim2	kim2	PROPN
ejpam-5604	2	36	,	,	PUNCT
ejpam-5604	2	37	wonjoo	wonjoo	PROPN
ejpam-5604	2	38	kim3	kim3	PROPN
ejpam-5604	2	39	,	,	PUNCT
ejpam-5604	2	40	jongkyum	jongkyum	NOUN
ejpam-5604	2	41	kwon4,∗	kwon4,∗	PROPN
ejpam-5604	2	42	hyunseok	hyunseok	PROPN
ejpam-5604	2	43	lee2,∗	lee2,∗	PROPN
ejpam-5604	2	44	1	1	NUM
ejpam-5604	2	45	department	department	NOUN
ejpam-5604	2	46	of	of	ADP
ejpam-5604	2	47	mathematics	mathematics	PROPN
ejpam-5604	2	48	,	,	PUNCT
ejpam-5604	2	49	sogang	sogang	PROPN
ejpam-5604	2	50	university	university	PROPN
ejpam-5604	2	51	,	,	PUNCT
ejpam-5604	2	52	seoul	seoul	PROPN
ejpam-5604	2	53	121	121	NUM
ejpam-5604	2	54	-	-	SYM
ejpam-5604	2	55	742	742	NUM
ejpam-5604	2	56	,	,	PUNCT
ejpam-5604	2	57	republic	republic	NOUN
ejpam-5604	2	58	of	of	ADP
ejpam-5604	2	59	kore	kore	NOUN
ejpam-5604	2	60	2	2	NUM
ejpam-5604	2	61	department	department	NOUN
ejpam-5604	2	62	of	of	ADP
ejpam-5604	2	63	mathematics	mathematic	NOUN
ejpam-5604	2	64	,	,	PUNCT
ejpam-5604	2	65	kwangwoon	kwangwoon	NOUN
ejpam-5604	2	66	university	university	NOUN
ejpam-5604	2	67	,	,	PUNCT
ejpam-5604	2	68	seoul	seoul	PROPN
ejpam-5604	2	69	139	139	NUM
ejpam-5604	2	70	-	-	SYM
ejpam-5604	2	71	701	701	NUM
ejpam-5604	2	72	,	,	PUNCT
ejpam-5604	2	73	republic	republic	NOUN
ejpam-5604	2	74	of	of	ADP
ejpam-5604	2	75	korea	korea	PROPN
ejpam-5604	2	76	3	3	PROPN
ejpam-5604	2	77	department	department	PROPN
ejpam-5604	2	78	of	of	ADP
ejpam-5604	2	79	applied	apply	VERB
ejpam-5604	2	80	mathematics	mathematic	NOUN
ejpam-5604	2	81	,	,	PUNCT
ejpam-5604	2	82	kyung	kyung	PROPN
ejpam-5604	2	83	hee	hee	PROPN
ejpam-5604	2	84	university	university	PROPN
ejpam-5604	2	85	,	,	PUNCT
ejpam-5604	2	86	yongin	yongin	ADJ
ejpam-5604	2	87	-	-	PUNCT
ejpam-5604	2	88	si	si	NOUN
ejpam-5604	2	89	17104	17104	NUM
ejpam-5604	2	90	,	,	PUNCT
ejpam-5604	2	91	republic	republic	NOUN
ejpam-5604	2	92	of	of	ADP
ejpam-5604	2	93	korea	korea	PROPN
ejpam-5604	2	94	4	4	NUM
ejpam-5604	2	95	department	department	PROPN
ejpam-5604	2	96	of	of	ADP
ejpam-5604	2	97	mathematics	mathematics	PROPN
ejpam-5604	2	98	education	education	NOUN
ejpam-5604	2	99	,	,	PUNCT
ejpam-5604	2	100	gyeongsang	gyeongsang	PROPN
ejpam-5604	2	101	national	national	PROPN
ejpam-5604	2	102	university	university	PROPN
ejpam-5604	2	103	,	,	PUNCT
ejpam-5604	2	104	jinju	jinju	NOUN
ejpam-5604	2	105	,	,	PUNCT
ejpam-5604	2	106	52828	52828	NUM
ejpam-5604	2	107	,	,	PUNCT
ejpam-5604	2	108	republic	republic	NOUN
ejpam-5604	2	109	of	of	ADP
ejpam-5604	2	110	korea	korea	PROPN
ejpam-5604	2	111	abstract	abstract	PROPN
ejpam-5604	2	112	.	.	PUNCT
ejpam-5604	3	1	the	the	DET
ejpam-5604	3	2	aim	aim	NOUN
ejpam-5604	3	3	of	of	ADP
ejpam-5604	3	4	this	this	DET
ejpam-5604	3	5	paper	paper	NOUN
ejpam-5604	3	6	is	be	AUX
ejpam-5604	3	7	twofold	twofold	ADV
ejpam-5604	3	8	.	.	PUNCT
ejpam-5604	4	1	firstly	firstly	ADV
ejpam-5604	4	2	,	,	PUNCT
ejpam-5604	4	3	we	we	PRON
ejpam-5604	4	4	obtain	obtain	VERB
ejpam-5604	4	5	expressions	expression	NOUN
ejpam-5604	4	6	of	of	ADP
ejpam-5604	4	7	the	the	DET
ejpam-5604	4	8	degenerate	degenerate	ADJ
ejpam-5604	4	9	moments	moment	NOUN
ejpam-5604	4	10	of	of	ADP
ejpam-5604	4	11	a	a	DET
ejpam-5604	4	12	discrete	discrete	ADJ
ejpam-5604	4	13	nonnegative	nonnegative	ADJ
ejpam-5604	4	14	integer	integer	NOUN
ejpam-5604	4	15	-	-	PUNCT
ejpam-5604	4	16	valued	value	VERB
ejpam-5604	4	17	random	random	ADJ
ejpam-5604	4	18	variable	variable	NOUN
ejpam-5604	4	19	.	.	PUNCT
ejpam-5604	5	1	secondly	secondly	ADV
ejpam-5604	5	2	,	,	PUNCT
ejpam-5604	5	3	we	we	PRON
ejpam-5604	5	4	get	get	VERB
ejpam-5604	5	5	an	an	DET
ejpam-5604	5	6	expression	expression	NOUN
ejpam-5604	5	7	for	for	ADP
ejpam-5604	5	8	the	the	DET
ejpam-5604	5	9	expectation	expectation	NOUN
ejpam-5604	5	10	of	of	ADP
ejpam-5604	5	11	any	any	DET
ejpam-5604	5	12	monomial	monomial	NOUN
ejpam-5604	5	13	in	in	ADP
ejpam-5604	5	14	discrete	discrete	ADJ
ejpam-5604	5	15	nonnegative	nonnegative	ADJ
ejpam-5604	5	16	integer	integer	NOUN
ejpam-5604	5	17	-	-	PUNCT
ejpam-5604	5	18	valued	value	VERB
ejpam-5604	5	19	random	random	ADJ
ejpam-5604	5	20	variables	variable	NOUN
ejpam-5604	5	21	.	.	PUNCT
ejpam-5604	6	1	2020	2020	NUM
ejpam-5604	6	2	mathematics	mathematic	NOUN
ejpam-5604	6	3	subject	subject	NOUN
ejpam-5604	6	4	classifications	classification	NOUN
ejpam-5604	6	5	:	:	PUNCT
ejpam-5604	6	6	60	60	NUM
ejpam-5604	6	7	-	-	SYM
ejpam-5604	6	8	08	08	NUM
ejpam-5604	6	9	,	,	PUNCT
ejpam-5604	6	10	60e0	60e0	NUM
ejpam-5604	6	11	key	key	ADJ
ejpam-5604	6	12	words	word	NOUN
ejpam-5604	6	13	and	and	CCONJ
ejpam-5604	6	14	phrases	phrase	NOUN
ejpam-5604	6	15	:	:	PUNCT
ejpam-5604	6	16	degenerate	degenerate	ADJ
ejpam-5604	6	17	moments	moment	NOUN
ejpam-5604	6	18	,	,	PUNCT
ejpam-5604	6	19	expectation	expectation	NOUN
ejpam-5604	6	20	of	of	ADP
ejpam-5604	6	21	monomials	monomial	NOUN
ejpam-5604	6	22	,	,	PUNCT
ejpam-5604	6	23	discrete	discrete	ADJ
ejpam-5604	6	24	nonnegative	nonnegative	ADJ
ejpam-5604	6	25	integer	integer	NOUN
ejpam-5604	6	26	-	-	PUNCT
ejpam-5604	6	27	valued	value	VERB
ejpam-5604	6	28	random	random	ADJ
ejpam-5604	6	29	variables	variable	NOUN
ejpam-5604	6	30	1	1	NUM
ejpam-5604	6	31	.	.	PUNCT
ejpam-5604	7	1	introduction	introduction	NOUN
ejpam-5604	7	2	let	let	VERB
ejpam-5604	7	3	x	x	PRON
ejpam-5604	7	4	be	be	AUX
ejpam-5604	7	5	a	a	DET
ejpam-5604	7	6	discrete	discrete	ADJ
ejpam-5604	7	7	nonnegative	nonnegative	ADJ
ejpam-5604	7	8	integer	integer	NOUN
ejpam-5604	7	9	-	-	PUNCT
ejpam-5604	7	10	valued	value	VERB
ejpam-5604	7	11	random	random	ADJ
ejpam-5604	7	12	variable	variable	NOUN
ejpam-5604	7	13	.	.	PUNCT
ejpam-5604	8	1	then	then	ADV
ejpam-5604	8	2	the	the	DET
ejpam-5604	8	3	probability	probability	NOUN
ejpam-5604	8	4	mass	mass	NOUN
ejpam-5604	8	5	function	function	NOUN
ejpam-5604	8	6	on	on	ADP
ejpam-5604	8	7	x	x	PUNCT
ejpam-5604	8	8	is	be	AUX
ejpam-5604	8	9	defined	define	VERB
ejpam-5604	8	10	by	by	ADP
ejpam-5604	8	11	px(x	px(x	NOUN
ejpam-5604	8	12	)	)	PUNCT
ejpam-5604	9	1	=	=	SYM
ejpam-5604	9	2	p{x	p{x	NOUN
ejpam-5604	9	3	=	=	PUNCT
ejpam-5604	9	4	x	x	NOUN
ejpam-5604	9	5	}	}	PUNCT
ejpam-5604	9	6	.	.	PUNCT
ejpam-5604	10	1	oftentimes	oftentime	NOUN
ejpam-5604	10	2	,	,	PUNCT
ejpam-5604	10	3	we	we	PRON
ejpam-5604	10	4	omit	omit	VERB
ejpam-5604	10	5	x	x	VERB
ejpam-5604	10	6	from	from	ADP
ejpam-5604	10	7	px(x	px(x	NUM
ejpam-5604	10	8	)	)	PUNCT
ejpam-5604	10	9	and	and	CCONJ
ejpam-5604	10	10	denote	denote	VERB
ejpam-5604	10	11	it	it	PRON
ejpam-5604	10	12	simply	simply	ADV
ejpam-5604	10	13	by	by	ADP
ejpam-5604	10	14	p(x	p(x	PROPN
ejpam-5604	10	15	)	)	PUNCT
ejpam-5604	10	16	.	.	PUNCT
ejpam-5604	11	1	this	this	DET
ejpam-5604	11	2	convention	convention	NOUN
ejpam-5604	11	3	applies	apply	VERB
ejpam-5604	11	4	to	to	ADP
ejpam-5604	11	5	other	other	ADJ
ejpam-5604	11	6	similar	similar	ADJ
ejpam-5604	11	7	situations	situation	NOUN
ejpam-5604	11	8	.	.	PUNCT
ejpam-5604	12	1	the	the	DET
ejpam-5604	12	2	cumulative	cumulative	ADJ
ejpam-5604	12	3	distribution	distribution	NOUN
ejpam-5604	12	4	function	function	NOUN
ejpam-5604	12	5	on	on	ADP
ejpam-5604	12	6	x	x	PROPN
ejpam-5604	12	7	is	be	AUX
ejpam-5604	12	8	given	give	VERB
ejpam-5604	12	9	by	by	ADP
ejpam-5604	12	10	:	:	PUNCT
ejpam-5604	12	11	for	for	ADP
ejpam-5604	12	12	any	any	DET
ejpam-5604	12	13	nonnegative	nonnegative	ADJ
ejpam-5604	12	14	integer	integer	NOUN
ejpam-5604	12	15	a	a	DET
ejpam-5604	12	16	,	,	PUNCT
ejpam-5604	12	17	fx(a	fx(a	NOUN
ejpam-5604	12	18	)	)	PUNCT
ejpam-5604	13	1	=	=	SYM
ejpam-5604	13	2	p{x	p{x	NOUN
ejpam-5604	13	3	≤	≤	NOUN
ejpam-5604	13	4	a	a	PRON
ejpam-5604	13	5	}	}	PUNCT
ejpam-5604	13	6	=	=	SYM
ejpam-5604	13	7	a∑	a∑	PROPN
ejpam-5604	13	8	x=0	x=0	SYM
ejpam-5604	13	9	p(x	p(x	PROPN
ejpam-5604	13	10	)	)	PUNCT
ejpam-5604	13	11	=	=	SYM
ejpam-5604	13	12	a∑	a∑	PROPN
ejpam-5604	14	1	x=0	x=0	PUNCT
ejpam-5604	14	2	p{x	p{x	NOUN
ejpam-5604	14	3	=	=	PUNCT
ejpam-5604	15	1	x	x	X
ejpam-5604	15	2	}	}	PUNCT
ejpam-5604	15	3	,	,	PUNCT
ejpam-5604	15	4	(	(	PUNCT
ejpam-5604	15	5	see	see	VERB
ejpam-5604	15	6	[	[	X
ejpam-5604	15	7	8–12	8–12	NUM
ejpam-5604	15	8	,	,	PUNCT
ejpam-5604	15	9	14–19	14–19	NUM
ejpam-5604	15	10	,	,	PUNCT
ejpam-5604	15	11	22	22	NUM
ejpam-5604	15	12	,	,	PUNCT
ejpam-5604	15	13	23	23	NUM
ejpam-5604	15	14	]	]	PUNCT
ejpam-5604	15	15	)	)	PUNCT
ejpam-5604	15	16	.	.	PUNCT
ejpam-5604	16	1	(	(	PUNCT
ejpam-5604	16	2	1	1	X
ejpam-5604	16	3	)	)	PUNCT
ejpam-5604	16	4	let	let	VERB
ejpam-5604	16	5	g(x	g(x	NOUN
ejpam-5604	16	6	)	)	PUNCT
ejpam-5604	16	7	be	be	AUX
ejpam-5604	16	8	a	a	DET
ejpam-5604	16	9	real	real	ADV
ejpam-5604	16	10	valued	value	VERB
ejpam-5604	16	11	function	function	NOUN
ejpam-5604	16	12	.	.	PUNCT
ejpam-5604	17	1	then	then	ADV
ejpam-5604	17	2	the	the	DET
ejpam-5604	17	3	expectation	expectation	NOUN
ejpam-5604	17	4	of	of	ADP
ejpam-5604	17	5	g(x	g(x	NOUN
ejpam-5604	17	6	)	)	PUNCT
ejpam-5604	17	7	is	be	AUX
ejpam-5604	17	8	given	give	VERB
ejpam-5604	17	9	by	by	ADP
ejpam-5604	17	10	e	e	PROPN
ejpam-5604	17	11	[	[	PUNCT
ejpam-5604	17	12	g(x	g(x	NOUN
ejpam-5604	17	13	)	)	PUNCT
ejpam-5604	17	14	]	]	PUNCT
ejpam-5604	18	1	=	=	PUNCT
ejpam-5604	18	2	∞∑	∞∑	NUM
ejpam-5604	18	3	x=0	x=0	NUM
ejpam-5604	18	4	g(x)px(x	g(x)px(x	NOUN
ejpam-5604	18	5	)	)	PUNCT
ejpam-5604	18	6	=	=	PUNCT
ejpam-5604	19	1	∞∑	∞∑	NUM
ejpam-5604	19	2	x=0	x=0	NUM
ejpam-5604	19	3	g(x)p{x	g(x)p{x	NOUN
ejpam-5604	19	4	=	=	SYM
ejpam-5604	19	5	x	x	NOUN
ejpam-5604	19	6	}	}	PUNCT
ejpam-5604	19	7	,	,	PUNCT
ejpam-5604	19	8	(	(	PUNCT
ejpam-5604	19	9	see	see	VERB
ejpam-5604	19	10	[	[	X
ejpam-5604	19	11	5	5	NUM
ejpam-5604	19	12	,	,	PUNCT
ejpam-5604	19	13	8–12	8–12	NUM
ejpam-5604	19	14	,	,	PUNCT
ejpam-5604	19	15	14–19	14–19	NUM
ejpam-5604	19	16	,	,	PUNCT
ejpam-5604	19	17	22	22	NUM
ejpam-5604	19	18	,	,	PUNCT
ejpam-5604	19	19	23	23	NUM
ejpam-5604	19	20	]	]	PUNCT
ejpam-5604	19	21	)	)	PUNCT
ejpam-5604	19	22	.	.	PUNCT
ejpam-5604	20	1	(	(	PUNCT
ejpam-5604	20	2	2	2	X
ejpam-5604	20	3	)	)	PUNCT
ejpam-5604	20	4	∗corresponding	∗corresponde	VERB
ejpam-5604	20	5	author	author	NOUN
ejpam-5604	20	6	.	.	PUNCT
ejpam-5604	21	1	∗corresponding	∗corresponde	VERB
ejpam-5604	21	2	author	author	NOUN
ejpam-5604	21	3	.	.	PUNCT
ejpam-5604	22	1	doi	doi	NOUN
ejpam-5604	22	2	:	:	PUNCT
ejpam-5604	22	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5604	https://doi.org/10.29020/nybg.ejpam.v17i4.5604	ADJ
ejpam-5604	22	4	email	email	NOUN
ejpam-5604	22	5	addresses	address	NOUN
ejpam-5604	22	6	:	:	PUNCT
ejpam-5604	22	7	dskim@sogang.ac.kr	dskim@sogang.ac.kr	PROPN
ejpam-5604	22	8	(	(	PUNCT
ejpam-5604	22	9	d.	d.	PROPN
ejpam-5604	22	10	s.	s.	PROPN
ejpam-5604	22	11	kim	kim	PROPN
ejpam-5604	22	12	)	)	PUNCT
ejpam-5604	22	13	,	,	PUNCT
ejpam-5604	22	14	tkkim@kw.ac.kr	tkkim@kw.ac.kr	X
ejpam-5604	22	15	(	(	PUNCT
ejpam-5604	22	16	t.	t.	PROPN
ejpam-5604	22	17	kim	kim	PROPN
ejpam-5604	22	18	)	)	PUNCT
ejpam-5604	22	19	,	,	PUNCT
ejpam-5604	22	20	wjookim@khu.ac.kr	wjookim@khu.ac.kr	X
ejpam-5604	22	21	(	(	PUNCT
ejpam-5604	22	22	w.	w.	PROPN
ejpam-5604	22	23	kim	kim	PROPN
ejpam-5604	22	24	)	)	PUNCT
ejpam-5604	22	25	,	,	PUNCT
ejpam-5604	22	26	mathkjk26@gnu.ac.kr	mathkjk26@gnu.ac.kr	PROPN
ejpam-5604	22	27	(	(	PUNCT
ejpam-5604	22	28	j.	j.	PROPN
ejpam-5604	22	29	kwon	kwon	PROPN
ejpam-5604	22	30	)	)	PUNCT
ejpam-5604	22	31	,	,	PUNCT
ejpam-5604	22	32	luciasconstant@kw.ac.kr	luciasconstant@kw.ac.kr	NOUN
ejpam-5604	22	33	(	(	PUNCT
ejpam-5604	22	34	h.	h.	PROPN
ejpam-5604	22	35	lee	lee	PROPN
ejpam-5604	22	36	)	)	PUNCT
ejpam-5604	22	37	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5604	23	1	3847	3847	NUM
ejpam-5604	24	1	copyright	copyright	NOUN
ejpam-5604	24	2	:	:	PUNCT
ejpam-5604	24	3	©	©	PROPN
ejpam-5604	24	4	2024	2024	NUM
ejpam-5604	24	5	the	the	DET
ejpam-5604	24	6	author(s	author(s	NOUN
ejpam-5604	24	7	)	)	PUNCT
ejpam-5604	24	8	.	.	PUNCT
ejpam-5604	25	1	(	(	PUNCT
ejpam-5604	25	2	cc	cc	NOUN
ejpam-5604	25	3	by	by	ADP
ejpam-5604	25	4	-	-	PUNCT
ejpam-5604	25	5	nc	nc	PROPN
ejpam-5604	25	6	4.0	4.0	NUM
ejpam-5604	25	7	)	)	PUNCT
ejpam-5604	25	8	j.	j.	PROPN
ejpam-5604	25	9	kwon	kwon	PROPN
ejpam-5604	25	10	et	et	PROPN
ejpam-5604	25	11	al	al	PROPN
ejpam-5604	25	12	.	.	PUNCT
ejpam-5604	25	13	/	/	SYM
ejpam-5604	25	14	eur	eur	PROPN
ejpam-5604	25	15	.	.	PUNCT
ejpam-5604	26	1	j.	j.	PROPN
ejpam-5604	26	2	pure	pure	PROPN
ejpam-5604	26	3	appl	appl	PROPN
ejpam-5604	26	4	.	.	PROPN
ejpam-5604	26	5	math	math	PROPN
ejpam-5604	26	6	,	,	PUNCT
ejpam-5604	26	7	17	17	NUM
ejpam-5604	26	8	(	(	PUNCT
ejpam-5604	26	9	4	4	NUM
ejpam-5604	26	10	)	)	PUNCT
ejpam-5604	26	11	(	(	PUNCT
ejpam-5604	26	12	2024	2024	NUM
ejpam-5604	26	13	)	)	PUNCT
ejpam-5604	26	14	,	,	PUNCT
ejpam-5604	26	15	3847	3847	NUM
ejpam-5604	26	16	-	-	SYM
ejpam-5604	26	17	3855	3855	NUM
ejpam-5604	26	18	3848	3848	NUM
ejpam-5604	26	19	the	the	DET
ejpam-5604	26	20	n	n	ADV
ejpam-5604	26	21	-	-	PUNCT
ejpam-5604	26	22	th	th	VERB
ejpam-5604	26	23	moment	moment	NOUN
ejpam-5604	26	24	of	of	ADP
ejpam-5604	26	25	x	x	PUNCT
ejpam-5604	26	26	is	be	AUX
ejpam-5604	26	27	defined	define	VERB
ejpam-5604	26	28	by	by	ADP
ejpam-5604	26	29	e	e	X
ejpam-5604	26	30	[	[	PUNCT
ejpam-5604	26	31	xn	xn	X
ejpam-5604	26	32	]	]	PUNCT
ejpam-5604	27	1	=	=	PUNCT
ejpam-5604	27	2	∞∑	∞∑	NUM
ejpam-5604	27	3	k=0	k=0	PROPN
ejpam-5604	27	4	knp(k	knp(k	PROPN
ejpam-5604	27	5	)	)	PUNCT
ejpam-5604	27	6	=	=	NOUN
ejpam-5604	28	1	∞∑	∞∑	NUM
ejpam-5604	28	2	k=0	k=0	PUNCT
ejpam-5604	28	3	knp{x	knp{x	PROPN
ejpam-5604	28	4	=	=	SYM
ejpam-5604	28	5	k	k	NOUN
ejpam-5604	28	6	}	}	PUNCT
ejpam-5604	28	7	,	,	PUNCT
ejpam-5604	28	8	(	(	PUNCT
ejpam-5604	28	9	see	see	VERB
ejpam-5604	28	10	[	[	X
ejpam-5604	28	11	17–19	17–19	NUM
ejpam-5604	28	12	,	,	PUNCT
ejpam-5604	28	13	22	22	NUM
ejpam-5604	28	14	,	,	PUNCT
ejpam-5604	28	15	23	23	NUM
ejpam-5604	28	16	]	]	PUNCT
ejpam-5604	28	17	)	)	PUNCT
ejpam-5604	28	18	.	.	PUNCT
ejpam-5604	29	1	(	(	PUNCT
ejpam-5604	29	2	3	3	X
ejpam-5604	29	3	)	)	PUNCT
ejpam-5604	29	4	the	the	DET
ejpam-5604	29	5	variance	variance	NOUN
ejpam-5604	29	6	of	of	ADP
ejpam-5604	29	7	x	x	PROPN
ejpam-5604	29	8	is	be	AUX
ejpam-5604	29	9	given	give	VERB
ejpam-5604	29	10	by	by	ADP
ejpam-5604	29	11	var(x	var(x	PROPN
ejpam-5604	29	12	)	)	PUNCT
ejpam-5604	29	13	=	=	PUNCT
ejpam-5604	30	1	e	e	X
ejpam-5604	31	1	[	[	X
ejpam-5604	31	2	(	(	PUNCT
ejpam-5604	31	3	x	x	INTJ
ejpam-5604	31	4	−	−	PRON
ejpam-5604	31	5	e[x	e[x	NOUN
ejpam-5604	31	6	]	]	PUNCT
ejpam-5604	31	7	)	)	PUNCT
ejpam-5604	31	8	2	2	X
ejpam-5604	31	9	]	]	PUNCT
ejpam-5604	31	10	=	=	SYM
ejpam-5604	31	11	e	e	X
ejpam-5604	31	12	[	[	PUNCT
ejpam-5604	31	13	x2	x2	X
ejpam-5604	31	14	]	]	X
ejpam-5604	31	15	−	−	PROPN
ejpam-5604	31	16	(	(	PUNCT
ejpam-5604	31	17	e[x	e[x	NOUN
ejpam-5604	31	18	]	]	PUNCT
ejpam-5604	31	19	)	)	PUNCT
ejpam-5604	31	20	2	2	NUM
ejpam-5604	31	21	,	,	PUNCT
ejpam-5604	31	22	(	(	PUNCT
ejpam-5604	31	23	see	see	VERB
ejpam-5604	31	24	[	[	X
ejpam-5604	31	25	23	23	NUM
ejpam-5604	31	26	]	]	PUNCT
ejpam-5604	31	27	)	)	PUNCT
ejpam-5604	31	28	.	.	PUNCT
ejpam-5604	32	1	(	(	PUNCT
ejpam-5604	32	2	4	4	X
ejpam-5604	32	3	)	)	PUNCT
ejpam-5604	32	4	let	let	VERB
ejpam-5604	32	5	x	x	PRON
ejpam-5604	32	6	and	and	CCONJ
ejpam-5604	32	7	y	y	PROPN
ejpam-5604	32	8	be	be	AUX
ejpam-5604	32	9	discrete	discrete	ADV
ejpam-5604	32	10	nonnegative	nonnegative	ADJ
ejpam-5604	32	11	integer	integer	NOUN
ejpam-5604	32	12	-	-	PUNCT
ejpam-5604	32	13	valued	value	VERB
ejpam-5604	32	14	random	random	ADJ
ejpam-5604	32	15	variables	variable	NOUN
ejpam-5604	32	16	.	.	PUNCT
ejpam-5604	33	1	then	then	ADV
ejpam-5604	33	2	the	the	DET
ejpam-5604	33	3	joint	joint	ADJ
ejpam-5604	33	4	probability	probability	NOUN
ejpam-5604	33	5	mass	mass	NOUN
ejpam-5604	33	6	function	function	NOUN
ejpam-5604	33	7	of	of	ADP
ejpam-5604	33	8	x	x	PUNCT
ejpam-5604	33	9	and	and	CCONJ
ejpam-5604	33	10	y	y	PROPN
ejpam-5604	33	11	is	be	AUX
ejpam-5604	33	12	defined	define	VERB
ejpam-5604	33	13	by	by	ADP
ejpam-5604	33	14	p(x	p(x	PROPN
ejpam-5604	33	15	,	,	PUNCT
ejpam-5604	33	16	y	y	NOUN
ejpam-5604	33	17	)	)	PUNCT
ejpam-5604	34	1	=	=	SYM
ejpam-5604	34	2	p{x	p{x	NOUN
ejpam-5604	35	1	=	=	PUNCT
ejpam-5604	35	2	x	x	X
ejpam-5604	35	3	,	,	PUNCT
ejpam-5604	35	4	y	y	PROPN
ejpam-5604	35	5	=	=	SYM
ejpam-5604	35	6	y	y	PROPN
ejpam-5604	35	7	}	}	PUNCT
ejpam-5604	35	8	,	,	PUNCT
ejpam-5604	35	9	(	(	PUNCT
ejpam-5604	35	10	see	see	VERB
ejpam-5604	35	11	[	[	X
ejpam-5604	35	12	4	4	NUM
ejpam-5604	35	13	,	,	PUNCT
ejpam-5604	35	14	23	23	NUM
ejpam-5604	35	15	]	]	PUNCT
ejpam-5604	35	16	)	)	PUNCT
ejpam-5604	35	17	.	.	PUNCT
ejpam-5604	36	1	(	(	PUNCT
ejpam-5604	36	2	5	5	X
ejpam-5604	36	3	)	)	PUNCT
ejpam-5604	36	4	we	we	PRON
ejpam-5604	36	5	note	note	VERB
ejpam-5604	36	6	that	that	SCONJ
ejpam-5604	36	7	p{x	p{x	NOUN
ejpam-5604	36	8	=	=	PUNCT
ejpam-5604	36	9	x|y	x|y	PUNCT
ejpam-5604	37	1	=	=	PUNCT
ejpam-5604	37	2	y	y	PROPN
ejpam-5604	37	3	}	}	PUNCT
ejpam-5604	37	4	=	=	PUNCT
ejpam-5604	37	5	p{x	p{x	NOUN
ejpam-5604	37	6	=	=	PUNCT
ejpam-5604	38	1	x	x	X
ejpam-5604	38	2	,	,	PUNCT
ejpam-5604	38	3	y	y	PROPN
ejpam-5604	38	4	=	=	SYM
ejpam-5604	38	5	y	y	PROPN
ejpam-5604	38	6	}	}	PUNCT
ejpam-5604	38	7	p{y	p{y	NOUN
ejpam-5604	38	8	=	=	SYM
ejpam-5604	38	9	y	y	NOUN
ejpam-5604	38	10	}	}	PUNCT
ejpam-5604	38	11	,	,	PUNCT
ejpam-5604	38	12	(	(	PUNCT
ejpam-5604	38	13	see	see	VERB
ejpam-5604	38	14	[	[	X
ejpam-5604	38	15	23	23	NUM
ejpam-5604	38	16	]	]	PUNCT
ejpam-5604	38	17	)	)	PUNCT
ejpam-5604	38	18	.	.	PUNCT
ejpam-5604	39	1	(	(	PUNCT
ejpam-5604	39	2	6	6	NUM
ejpam-5604	39	3	)	)	PUNCT
ejpam-5604	39	4	thus	thus	ADV
ejpam-5604	39	5	,	,	PUNCT
ejpam-5604	39	6	by	by	ADP
ejpam-5604	39	7	(	(	PUNCT
ejpam-5604	39	8	5	5	NUM
ejpam-5604	39	9	)	)	PUNCT
ejpam-5604	39	10	and	and	CCONJ
ejpam-5604	39	11	(	(	PUNCT
ejpam-5604	39	12	6	6	NUM
ejpam-5604	39	13	)	)	PUNCT
ejpam-5604	39	14	,	,	PUNCT
ejpam-5604	39	15	we	we	PRON
ejpam-5604	39	16	get	get	VERB
ejpam-5604	39	17	p(x	p(x	PROPN
ejpam-5604	39	18	,	,	PUNCT
ejpam-5604	39	19	y	y	NOUN
ejpam-5604	39	20	)	)	PUNCT
ejpam-5604	40	1	=	=	SYM
ejpam-5604	40	2	p{x	p{x	NOUN
ejpam-5604	40	3	=	=	PUNCT
ejpam-5604	40	4	x|y	x|y	PUNCT
ejpam-5604	41	1	=	=	PUNCT
ejpam-5604	41	2	y}p{y	y}p{y	PROPN
ejpam-5604	41	3	=	=	PUNCT
ejpam-5604	41	4	y	y	PROPN
ejpam-5604	41	5	}	}	PUNCT
ejpam-5604	41	6	.	.	PUNCT
ejpam-5604	42	1	(	(	PUNCT
ejpam-5604	42	2	7	7	X
ejpam-5604	42	3	)	)	PUNCT
ejpam-5604	42	4	let	let	NOUN
ejpam-5604	42	5	px(x	px(x	NOUN
ejpam-5604	42	6	)	)	PUNCT
ejpam-5604	43	1	and	and	CCONJ
ejpam-5604	43	2	py	py	INTJ
ejpam-5604	43	3	(	(	PUNCT
ejpam-5604	43	4	y	y	NOUN
ejpam-5604	43	5	)	)	PUNCT
ejpam-5604	43	6	be	be	VERB
ejpam-5604	43	7	respectively	respectively	ADV
ejpam-5604	43	8	the	the	DET
ejpam-5604	43	9	probability	probability	NOUN
ejpam-5604	43	10	mass	mass	NOUN
ejpam-5604	43	11	function	function	NOUN
ejpam-5604	43	12	of	of	ADP
ejpam-5604	43	13	x	x	X
ejpam-5604	43	14	and	and	CCONJ
ejpam-5604	43	15	that	that	PRON
ejpam-5604	43	16	of	of	ADP
ejpam-5604	43	17	y	y	PROPN
ejpam-5604	43	18	.	.	PUNCT
ejpam-5604	44	1	then	then	ADV
ejpam-5604	44	2	we	we	PRON
ejpam-5604	44	3	have	have	VERB
ejpam-5604	44	4	px(x	px(x	ADV
ejpam-5604	44	5	)	)	PUNCT
ejpam-5604	45	1	=	=	PUNCT
ejpam-5604	45	2	∑	∑	PUNCT
ejpam-5604	45	3	y	y	PROPN
ejpam-5604	45	4	p{x	p{x	NOUN
ejpam-5604	45	5	=	=	PUNCT
ejpam-5604	45	6	x	x	X
ejpam-5604	45	7	,	,	PUNCT
ejpam-5604	45	8	y	y	PROPN
ejpam-5604	45	9	=	=	SYM
ejpam-5604	45	10	y	y	PROPN
ejpam-5604	45	11	}	}	PUNCT
ejpam-5604	45	12	=	=	PUNCT
ejpam-5604	45	13	∑	∑	PUNCT
ejpam-5604	45	14	y	y	PROPN
ejpam-5604	45	15	p(x	p(x	PROPN
ejpam-5604	45	16	,	,	PUNCT
ejpam-5604	45	17	y	y	PROPN
ejpam-5604	45	18	)	)	PUNCT
ejpam-5604	45	19	,	,	PUNCT
ejpam-5604	45	20	py	py	PROPN
ejpam-5604	45	21	(	(	PUNCT
ejpam-5604	45	22	y	y	NOUN
ejpam-5604	45	23	)	)	PUNCT
ejpam-5604	45	24	=	=	PUNCT
ejpam-5604	46	1	∑	∑	PUNCT
ejpam-5604	46	2	x	x	PUNCT
ejpam-5604	46	3	p{x	p{x	NOUN
ejpam-5604	46	4	=	=	PUNCT
ejpam-5604	46	5	x	x	NOUN
ejpam-5604	46	6	,	,	PUNCT
ejpam-5604	46	7	y	y	PROPN
ejpam-5604	46	8	=	=	SYM
ejpam-5604	46	9	y	y	PROPN
ejpam-5604	46	10	}	}	PUNCT
ejpam-5604	46	11	=	=	SYM
ejpam-5604	46	12	∑	∑	PUNCT
ejpam-5604	46	13	x	x	SYM
ejpam-5604	46	14	p(x	p(x	PROPN
ejpam-5604	46	15	,	,	PUNCT
ejpam-5604	46	16	y	y	NOUN
ejpam-5604	46	17	)	)	PUNCT
ejpam-5604	46	18	.	.	PUNCT
ejpam-5604	47	1	(	(	PUNCT
ejpam-5604	47	2	8)	8)	NUM
ejpam-5604	47	3	the	the	DET
ejpam-5604	47	4	joint	joint	ADJ
ejpam-5604	47	5	cumulative	cumulative	ADJ
ejpam-5604	47	6	distribution	distribution	NOUN
ejpam-5604	47	7	function	function	NOUN
ejpam-5604	47	8	of	of	ADP
ejpam-5604	47	9	x	x	PUNCT
ejpam-5604	47	10	and	and	CCONJ
ejpam-5604	47	11	y	y	PROPN
ejpam-5604	47	12	is	be	AUX
ejpam-5604	47	13	defined	define	VERB
ejpam-5604	47	14	by	by	ADP
ejpam-5604	47	15	:	:	PUNCT
ejpam-5604	47	16	for	for	ADP
ejpam-5604	47	17	any	any	DET
ejpam-5604	47	18	nonnegative	nonnegative	ADJ
ejpam-5604	47	19	integers	integer	NOUN
ejpam-5604	47	20	a	a	PRON
ejpam-5604	47	21	and	and	CCONJ
ejpam-5604	47	22	b	b	NOUN
ejpam-5604	47	23	,	,	PUNCT
ejpam-5604	47	24	fx	fx	PROPN
ejpam-5604	47	25	,	,	PUNCT
ejpam-5604	47	26	y	y	PROPN
ejpam-5604	47	27	(	(	PUNCT
ejpam-5604	47	28	a	a	DET
ejpam-5604	47	29	,	,	PUNCT
ejpam-5604	47	30	b	b	NOUN
ejpam-5604	47	31	)	)	PUNCT
ejpam-5604	48	1	=	=	NOUN
ejpam-5604	48	2	p{x	p{x	NOUN
ejpam-5604	48	3	≤	≤	NOUN
ejpam-5604	49	1	a	a	X
ejpam-5604	49	2	,	,	PUNCT
ejpam-5604	49	3	y	y	PROPN
ejpam-5604	49	4	≤	≤	PROPN
ejpam-5604	49	5	b	b	X
ejpam-5604	49	6	}	}	PUNCT
ejpam-5604	49	7	=	=	SYM
ejpam-5604	49	8	b∑	b∑	X
ejpam-5604	49	9	y=0	y=0	X
ejpam-5604	49	10	a∑	a∑	PROPN
ejpam-5604	49	11	x=0	x=0	PROPN
ejpam-5604	49	12	p(x	p(x	PROPN
ejpam-5604	49	13	,	,	PUNCT
ejpam-5604	49	14	y	y	NOUN
ejpam-5604	49	15	)	)	PUNCT
ejpam-5604	49	16	.	.	PUNCT
ejpam-5604	50	1	(	(	PUNCT
ejpam-5604	50	2	9	9	X
ejpam-5604	50	3	)	)	PUNCT
ejpam-5604	50	4	by	by	ADP
ejpam-5604	50	5	(	(	PUNCT
ejpam-5604	50	6	7	7	NUM
ejpam-5604	50	7	)	)	PUNCT
ejpam-5604	50	8	,	,	PUNCT
ejpam-5604	50	9	we	we	PRON
ejpam-5604	50	10	get	get	VERB
ejpam-5604	50	11	fx(a	fx(a	NOUN
ejpam-5604	50	12	)	)	PUNCT
ejpam-5604	51	1	=	=	SYM
ejpam-5604	51	2	p{x	p{x	NOUN
ejpam-5604	51	3	≤	≤	ADV
ejpam-5604	51	4	a	a	PRON
ejpam-5604	51	5	}	}	PUNCT
ejpam-5604	51	6	=	=	SYM
ejpam-5604	51	7	p{x	p{x	NOUN
ejpam-5604	51	8	≤	≤	NOUN
ejpam-5604	52	1	a	a	X
ejpam-5604	52	2	,	,	PUNCT
ejpam-5604	52	3	y	y	PROPN
ejpam-5604	52	4	≤	≤	NOUN
ejpam-5604	52	5	∞	∞	PROPN
ejpam-5604	52	6	}	}	PUNCT
ejpam-5604	52	7	=	=	SYM
ejpam-5604	52	8	fx	fx	PROPN
ejpam-5604	52	9	,	,	PUNCT
ejpam-5604	52	10	y	y	PROPN
ejpam-5604	52	11	(	(	PUNCT
ejpam-5604	52	12	a,∞	a,∞	PROPN
ejpam-5604	52	13	)	)	PUNCT
ejpam-5604	52	14	,	,	PUNCT
ejpam-5604	52	15	fy	fy	PROPN
ejpam-5604	52	16	(	(	PUNCT
ejpam-5604	52	17	b	b	NOUN
ejpam-5604	52	18	)	)	PUNCT
ejpam-5604	52	19	=	=	VERB
ejpam-5604	53	1	p{y	p{y	VERB
ejpam-5604	53	2	≤	≤	NUM
ejpam-5604	54	1	b	b	X
ejpam-5604	54	2	}	}	PUNCT
ejpam-5604	54	3	=	=	PUNCT
ejpam-5604	54	4	p{x	p{x	NOUN
ejpam-5604	54	5	≤	≤	NUM
ejpam-5604	54	6	∞	∞	PROPN
ejpam-5604	54	7	,	,	PUNCT
ejpam-5604	54	8	y	y	PROPN
ejpam-5604	54	9	≤	≤	PROPN
ejpam-5604	54	10	b	b	X
ejpam-5604	54	11	}	}	PUNCT
ejpam-5604	54	12	=	=	SYM
ejpam-5604	54	13	fx	fx	PROPN
ejpam-5604	54	14	,	,	PUNCT
ejpam-5604	54	15	y	y	PROPN
ejpam-5604	54	16	(	(	PUNCT
ejpam-5604	54	17	∞	∞	PROPN
ejpam-5604	54	18	,	,	PUNCT
ejpam-5604	54	19	b	b	NOUN
ejpam-5604	54	20	)	)	PUNCT
ejpam-5604	54	21	.	.	PUNCT
ejpam-5604	55	1	(	(	PUNCT
ejpam-5604	55	2	10	10	NUM
ejpam-5604	55	3	)	)	PUNCT
ejpam-5604	55	4	for	for	ADP
ejpam-5604	55	5	any	any	DET
ejpam-5604	55	6	λ	λ	PROPN
ejpam-5604	55	7	∈	∈	PROPN
ejpam-5604	55	8	r	r	NOUN
ejpam-5604	55	9	,	,	PUNCT
ejpam-5604	55	10	the	the	DET
ejpam-5604	55	11	degenerate	degenerate	ADJ
ejpam-5604	55	12	falling	fall	VERB
ejpam-5604	55	13	factorial	factorial	NOUN
ejpam-5604	55	14	sequence	sequence	NOUN
ejpam-5604	55	15	is	be	AUX
ejpam-5604	55	16	defined	define	VERB
ejpam-5604	55	17	by	by	ADP
ejpam-5604	55	18	(	(	PUNCT
ejpam-5604	55	19	see	see	VERB
ejpam-5604	55	20	[	[	X
ejpam-5604	55	21	8	8	NUM
ejpam-5604	55	22	,	,	PUNCT
ejpam-5604	55	23	12	12	NUM
ejpam-5604	55	24	,	,	PUNCT
ejpam-5604	55	25	14	14	NUM
ejpam-5604	55	26	,	,	PUNCT
ejpam-5604	55	27	15	15	NUM
ejpam-5604	55	28	,	,	PUNCT
ejpam-5604	55	29	17	17	NUM
ejpam-5604	55	30	,	,	PUNCT
ejpam-5604	55	31	18	18	NUM
ejpam-5604	55	32	,	,	PUNCT
ejpam-5604	55	33	21	21	NUM
ejpam-5604	55	34	,	,	PUNCT
ejpam-5604	55	35	27	27	NUM
ejpam-5604	55	36	]	]	PUNCT
ejpam-5604	55	37	)	)	PUNCT
ejpam-5604	55	38	(	(	PUNCT
ejpam-5604	55	39	x)0,λ	x)0,λ	NOUN
ejpam-5604	55	40	=	=	SYM
ejpam-5604	55	41	1	1	NUM
ejpam-5604	55	42	,	,	PUNCT
ejpam-5604	55	43	(	(	PUNCT
ejpam-5604	55	44	x)n	x)n	PROPN
ejpam-5604	55	45	,	,	PUNCT
ejpam-5604	55	46	λ	λ	PROPN
ejpam-5604	55	47	=	=	SYM
ejpam-5604	55	48	x(x−	x(x−	PROPN
ejpam-5604	55	49	λ)(x−	λ)(x−	PROPN
ejpam-5604	55	50	2λ	2λ	NUM
ejpam-5604	55	51	)	)	PUNCT
ejpam-5604	55	52	·	·	PUNCT
ejpam-5604	55	53	·	·	PUNCT
ejpam-5604	56	1	·	·	PUNCT
ejpam-5604	56	2	(	(	PUNCT
ejpam-5604	56	3	x−	x−	X
ejpam-5604	56	4	(	(	PUNCT
ejpam-5604	56	5	n−	n−	NOUN
ejpam-5604	56	6	1)λ	1)λ	NUM
ejpam-5604	56	7	)	)	PUNCT
ejpam-5604	56	8	,	,	PUNCT
ejpam-5604	56	9	(	(	PUNCT
ejpam-5604	56	10	n	n	X
ejpam-5604	56	11	≥	≥	NOUN
ejpam-5604	56	12	1	1	NUM
ejpam-5604	56	13	)	)	PUNCT
ejpam-5604	56	14	.	.	PUNCT
ejpam-5604	57	1	(	(	PUNCT
ejpam-5604	57	2	11	11	NUM
ejpam-5604	57	3	)	)	PUNCT
ejpam-5604	57	4	with	with	ADP
ejpam-5604	57	5	the	the	DET
ejpam-5604	57	6	notation	notation	NOUN
ejpam-5604	57	7	in	in	ADP
ejpam-5604	57	8	(	(	PUNCT
ejpam-5604	57	9	11	11	NUM
ejpam-5604	57	10	)	)	PUNCT
ejpam-5604	57	11	,	,	PUNCT
ejpam-5604	57	12	we	we	PRON
ejpam-5604	57	13	note	note	VERB
ejpam-5604	57	14	that	that	SCONJ
ejpam-5604	57	15	the	the	DET
ejpam-5604	57	16	degenerate	degenerate	ADJ
ejpam-5604	57	17	exponentials	exponential	NOUN
ejpam-5604	57	18	are	be	AUX
ejpam-5604	57	19	given	give	VERB
ejpam-5604	57	20	by	by	ADP
ejpam-5604	57	21	exλ(t	exλ(t	NOUN
ejpam-5604	57	22	)	)	PUNCT
ejpam-5604	57	23	=	=	PUNCT
ejpam-5604	58	1	∞∑	∞∑	NUM
ejpam-5604	58	2	n=0	n=0	NUM
ejpam-5604	58	3	(	(	PUNCT
ejpam-5604	58	4	x)n	x)n	PROPN
ejpam-5604	58	5	,	,	PUNCT
ejpam-5604	58	6	λ	λ	PROPN
ejpam-5604	58	7	tn	tn	NOUN
ejpam-5604	58	8	n	n	X
ejpam-5604	58	9	!	!	PROPN
ejpam-5604	58	10	,	,	PUNCT
ejpam-5604	58	11	(	(	PUNCT
ejpam-5604	58	12	see	see	VERB
ejpam-5604	58	13	[	[	X
ejpam-5604	58	14	12	12	NUM
ejpam-5604	58	15	,	,	PUNCT
ejpam-5604	58	16	14–18	14–18	NUM
ejpam-5604	58	17	]	]	PUNCT
ejpam-5604	58	18	)	)	PUNCT
ejpam-5604	58	19	.	.	PUNCT
ejpam-5604	59	1	(	(	PUNCT
ejpam-5604	59	2	12	12	NUM
ejpam-5604	59	3	)	)	PUNCT
ejpam-5604	59	4	j.	j.	PROPN
ejpam-5604	59	5	kwon	kwon	PROPN
ejpam-5604	59	6	et	et	PROPN
ejpam-5604	59	7	al	al	PROPN
ejpam-5604	59	8	.	.	PUNCT
ejpam-5604	59	9	/	/	SYM
ejpam-5604	59	10	eur	eur	PROPN
ejpam-5604	59	11	.	.	PUNCT
ejpam-5604	60	1	j.	j.	PROPN
ejpam-5604	60	2	pure	pure	PROPN
ejpam-5604	60	3	appl	appl	PROPN
ejpam-5604	60	4	.	.	PROPN
ejpam-5604	60	5	math	math	PROPN
ejpam-5604	60	6	,	,	PUNCT
ejpam-5604	60	7	17	17	NUM
ejpam-5604	60	8	(	(	PUNCT
ejpam-5604	60	9	4	4	NUM
ejpam-5604	60	10	)	)	PUNCT
ejpam-5604	60	11	(	(	PUNCT
ejpam-5604	60	12	2024	2024	NUM
ejpam-5604	60	13	)	)	PUNCT
ejpam-5604	60	14	,	,	PUNCT
ejpam-5604	60	15	3847	3847	NUM
ejpam-5604	60	16	-	-	SYM
ejpam-5604	60	17	3855	3855	NUM
ejpam-5604	60	18	3849	3849	NUM
ejpam-5604	60	19	we	we	PRON
ejpam-5604	60	20	see	see	VERB
ejpam-5604	60	21	that	that	SCONJ
ejpam-5604	60	22	lim	lim	PROPN
ejpam-5604	60	23	λ→0	λ→0	PUNCT
ejpam-5604	60	24	(	(	PUNCT
ejpam-5604	60	25	x)n	x)n	PROPN
ejpam-5604	60	26	,	,	PUNCT
ejpam-5604	60	27	λ	λ	X
ejpam-5604	60	28	=	=	SYM
ejpam-5604	60	29	xn	xn	PROPN
ejpam-5604	60	30	,	,	PUNCT
ejpam-5604	60	31	lim	lim	PROPN
ejpam-5604	60	32	λ→0	λ→0	VERB
ejpam-5604	60	33	exλ(t	exλ(t	PROPN
ejpam-5604	60	34	)	)	PUNCT
ejpam-5604	60	35	=	=	SYM
ejpam-5604	60	36	ext	ext	NOUN
ejpam-5604	60	37	.	.	PUNCT
ejpam-5604	61	1	the	the	DET
ejpam-5604	61	2	generating	generate	VERB
ejpam-5604	61	3	function	function	NOUN
ejpam-5604	61	4	of	of	ADP
ejpam-5604	61	5	the	the	DET
ejpam-5604	61	6	degenerate	degenerate	ADJ
ejpam-5604	61	7	moments	moment	NOUN
ejpam-5604	61	8	e	e	NOUN
ejpam-5604	61	9	[	[	PUNCT
ejpam-5604	61	10	(	(	PUNCT
ejpam-5604	61	11	x)n	x)n	PROPN
ejpam-5604	61	12	,	,	PUNCT
ejpam-5604	61	13	λ	λ	X
ejpam-5604	61	14	]	]	PUNCT
ejpam-5604	61	15	of	of	ADP
ejpam-5604	61	16	the	the	DET
ejpam-5604	61	17	random	random	ADJ
ejpam-5604	61	18	variable	variable	NOUN
ejpam-5604	61	19	x	x	PUNCT
ejpam-5604	61	20	is	be	AUX
ejpam-5604	61	21	given	give	VERB
ejpam-5604	61	22	by	by	ADP
ejpam-5604	61	23	e	e	PROPN
ejpam-5604	61	24	[	[	PUNCT
ejpam-5604	61	25	exλ	exλ	NOUN
ejpam-5604	61	26	(	(	PUNCT
ejpam-5604	61	27	t	t	PROPN
ejpam-5604	61	28	)	)	PUNCT
ejpam-5604	61	29	]	]	PUNCT
ejpam-5604	62	1	=	=	PUNCT
ejpam-5604	62	2	∞∑	∞∑	NUM
ejpam-5604	62	3	n=0	n=0	NUM
ejpam-5604	62	4	e	e	NOUN
ejpam-5604	62	5	[	[	PUNCT
ejpam-5604	62	6	(	(	PUNCT
ejpam-5604	62	7	x)n	x)n	PROPN
ejpam-5604	62	8	,	,	PUNCT
ejpam-5604	62	9	λ	λ	X
ejpam-5604	62	10	]	]	PUNCT
ejpam-5604	62	11	tn	tn	PROPN
ejpam-5604	62	12	n	n	PROPN
ejpam-5604	62	13	!	!	PROPN
ejpam-5604	62	14	,	,	PUNCT
ejpam-5604	62	15	(	(	PUNCT
ejpam-5604	62	16	see	see	VERB
ejpam-5604	62	17	[	[	X
ejpam-5604	62	18	12	12	NUM
ejpam-5604	62	19	,	,	PUNCT
ejpam-5604	62	20	14–18	14–18	NUM
ejpam-5604	62	21	]	]	PUNCT
ejpam-5604	62	22	)	)	PUNCT
ejpam-5604	62	23	.	.	PUNCT
ejpam-5604	63	1	in	in	ADP
ejpam-5604	63	2	section	section	NOUN
ejpam-5604	63	3	1	1	NUM
ejpam-5604	63	4	,	,	PUNCT
ejpam-5604	63	5	we	we	PRON
ejpam-5604	63	6	recall	recall	VERB
ejpam-5604	63	7	some	some	DET
ejpam-5604	63	8	necessary	necessary	ADJ
ejpam-5604	63	9	facts	fact	NOUN
ejpam-5604	63	10	that	that	PRON
ejpam-5604	63	11	are	be	AUX
ejpam-5604	63	12	needed	need	VERB
ejpam-5604	63	13	throughout	throughout	ADP
ejpam-5604	63	14	this	this	DET
ejpam-5604	63	15	paper	paper	NOUN
ejpam-5604	63	16	.	.	PUNCT
ejpam-5604	64	1	section	section	NOUN
ejpam-5604	64	2	2	2	NUM
ejpam-5604	64	3	contains	contain	VERB
ejpam-5604	64	4	the	the	DET
ejpam-5604	64	5	main	main	ADJ
ejpam-5604	64	6	results	result	NOUN
ejpam-5604	64	7	of	of	ADP
ejpam-5604	64	8	this	this	DET
ejpam-5604	64	9	paper	paper	NOUN
ejpam-5604	64	10	.	.	PUNCT
ejpam-5604	65	1	let	let	VERB
ejpam-5604	65	2	x	x	PRON
ejpam-5604	65	3	be	be	AUX
ejpam-5604	65	4	a	a	DET
ejpam-5604	65	5	discrete	discrete	ADJ
ejpam-5604	65	6	nonnegative	nonnegative	ADJ
ejpam-5604	65	7	integervalued	integervalue	VERB
ejpam-5604	65	8	random	random	ADJ
ejpam-5604	65	9	variable	variable	NOUN
ejpam-5604	65	10	.	.	PUNCT
ejpam-5604	66	1	then	then	ADV
ejpam-5604	66	2	we	we	PRON
ejpam-5604	66	3	obtain	obtain	VERB
ejpam-5604	66	4	expressions	expression	NOUN
ejpam-5604	66	5	for	for	ADP
ejpam-5604	66	6	the	the	DET
ejpam-5604	66	7	r	r	NOUN
ejpam-5604	66	8	-	-	PUNCT
ejpam-5604	66	9	th	th	VERB
ejpam-5604	66	10	degenerate	degenerate	ADJ
ejpam-5604	66	11	moment	moment	NOUN
ejpam-5604	66	12	e	e	X
ejpam-5604	66	13	[	[	PUNCT
ejpam-5604	66	14	(	(	PUNCT
ejpam-5604	66	15	x)r	x)r	PROPN
ejpam-5604	66	16	,	,	PUNCT
ejpam-5604	66	17	λ	λ	X
ejpam-5604	66	18	]	]	PUNCT
ejpam-5604	66	19	(	(	PUNCT
ejpam-5604	66	20	see	see	VERB
ejpam-5604	66	21	(	(	PUNCT
ejpam-5604	66	22	11	11	NUM
ejpam-5604	66	23	)	)	PUNCT
ejpam-5604	66	24	)	)	PUNCT
ejpam-5604	66	25	as	as	ADP
ejpam-5604	66	26	infinite	infinite	ADJ
ejpam-5604	66	27	series	series	NOUN
ejpam-5604	66	28	involving	involve	VERB
ejpam-5604	66	29	the	the	DET
ejpam-5604	66	30	cumulative	cumulative	ADJ
ejpam-5604	66	31	distribution	distribution	NOUN
ejpam-5604	66	32	function	function	NOUN
ejpam-5604	66	33	fx	fx	NOUN
ejpam-5604	66	34	(	(	PUNCT
ejpam-5604	66	35	see	see	VERB
ejpam-5604	66	36	(	(	PUNCT
ejpam-5604	66	37	1	1	NUM
ejpam-5604	66	38	)	)	PUNCT
ejpam-5604	66	39	)	)	PUNCT
ejpam-5604	66	40	in	in	ADP
ejpam-5604	66	41	theorems	theorem	NOUN
ejpam-5604	66	42	2.1	2.1	NUM
ejpam-5604	66	43	and	and	CCONJ
ejpam-5604	66	44	2.3	2.3	NUM
ejpam-5604	66	45	.	.	PUNCT
ejpam-5604	67	1	assume	assume	VERB
ejpam-5604	67	2	that	that	SCONJ
ejpam-5604	67	3	x	x	X
ejpam-5604	67	4	,	,	PUNCT
ejpam-5604	67	5	y	y	PROPN
ejpam-5604	67	6	are	be	AUX
ejpam-5604	67	7	discrete	discrete	ADV
ejpam-5604	67	8	nonnegative	nonnegative	ADJ
ejpam-5604	67	9	integervalued	integervalue	VERB
ejpam-5604	67	10	random	random	ADJ
ejpam-5604	67	11	variables	variable	NOUN
ejpam-5604	67	12	.	.	PUNCT
ejpam-5604	68	1	in	in	ADP
ejpam-5604	68	2	theorem	theorem	NOUN
ejpam-5604	68	3	2.2	2.2	NUM
ejpam-5604	68	4	,	,	PUNCT
ejpam-5604	68	5	we	we	PRON
ejpam-5604	68	6	show	show	VERB
ejpam-5604	68	7	that	that	SCONJ
ejpam-5604	68	8	e[xy	e[xy	PROPN
ejpam-5604	68	9	]	]	X
ejpam-5604	68	10	is	be	AUX
ejpam-5604	68	11	equal	equal	ADJ
ejpam-5604	68	12	to	to	ADP
ejpam-5604	68	13	the	the	DET
ejpam-5604	68	14	double	double	ADJ
ejpam-5604	68	15	sum	sum	NOUN
ejpam-5604	68	16	over	over	ADP
ejpam-5604	68	17	x	x	PROPN
ejpam-5604	68	18	,	,	PUNCT
ejpam-5604	68	19	y	y	PROPN
ejpam-5604	68	20	of	of	ADP
ejpam-5604	68	21	t	t	PROPN
ejpam-5604	68	22	(	(	PUNCT
ejpam-5604	68	23	x	x	X
ejpam-5604	68	24	,	,	PUNCT
ejpam-5604	68	25	y	y	PROPN
ejpam-5604	68	26	)	)	PUNCT
ejpam-5604	68	27	,	,	PUNCT
ejpam-5604	68	28	where	where	SCONJ
ejpam-5604	68	29	t	t	PROPN
ejpam-5604	68	30	(	(	PUNCT
ejpam-5604	68	31	x	x	PROPN
ejpam-5604	68	32	,	,	PUNCT
ejpam-5604	68	33	y	y	NOUN
ejpam-5604	68	34	)	)	PUNCT
ejpam-5604	68	35	=	=	PUNCT
ejpam-5604	69	1	p{x	p{x	NOUN
ejpam-5604	69	2	>	>	X
ejpam-5604	70	1	x	x	X
ejpam-5604	70	2	,	,	PUNCT
ejpam-5604	70	3	y	y	PROPN
ejpam-5604	70	4	>	>	X
ejpam-5604	70	5	y	y	PROPN
ejpam-5604	70	6	}	}	PUNCT
ejpam-5604	70	7	.	.	PUNCT
ejpam-5604	71	1	in	in	ADP
ejpam-5604	71	2	theorem	theorem	ADJ
ejpam-5604	71	3	2.4	2.4	NUM
ejpam-5604	71	4	,	,	PUNCT
ejpam-5604	71	5	this	this	PRON
ejpam-5604	71	6	is	be	AUX
ejpam-5604	71	7	generalized	generalize	VERB
ejpam-5604	71	8	to	to	ADP
ejpam-5604	71	9	the	the	DET
ejpam-5604	71	10	case	case	NOUN
ejpam-5604	71	11	of	of	ADP
ejpam-5604	71	12	e[xr1y	e[xr1y	ADJ
ejpam-5604	71	13	r2	r2	PROPN
ejpam-5604	71	14	]	]	PUNCT
ejpam-5604	71	15	,	,	PUNCT
ejpam-5604	71	16	where	where	SCONJ
ejpam-5604	71	17	r1	r1	PROPN
ejpam-5604	71	18	,	,	PUNCT
ejpam-5604	71	19	r2	r2	PROPN
ejpam-5604	71	20	are	be	AUX
ejpam-5604	71	21	any	any	DET
ejpam-5604	71	22	positive	positive	ADJ
ejpam-5604	71	23	integers	integer	NOUN
ejpam-5604	71	24	.	.	PUNCT
ejpam-5604	72	1	let	let	VERB
ejpam-5604	72	2	r1	r1	NOUN
ejpam-5604	72	3	,	,	PUNCT
ejpam-5604	72	4	r2	r2	PROPN
ejpam-5604	72	5	,	,	PUNCT
ejpam-5604	72	6	·	·	PUNCT
ejpam-5604	72	7	·	·	PUNCT
ejpam-5604	72	8	·	·	PUNCT
ejpam-5604	72	9	,	,	PUNCT
ejpam-5604	72	10	rk	rk	PRON
ejpam-5604	72	11	be	be	AUX
ejpam-5604	72	12	positive	positive	ADJ
ejpam-5604	72	13	integers	integer	NOUN
ejpam-5604	72	14	,	,	PUNCT
ejpam-5604	72	15	and	and	CCONJ
ejpam-5604	72	16	let	let	VERB
ejpam-5604	72	17	x1	x1	NUM
ejpam-5604	72	18	,	,	PUNCT
ejpam-5604	72	19	x2	x2	PROPN
ejpam-5604	72	20	,	,	PUNCT
ejpam-5604	72	21	.	.	PUNCT
ejpam-5604	72	22	.	.	PUNCT
ejpam-5604	73	1	.	.	PUNCT
ejpam-5604	74	1	,	,	PUNCT
ejpam-5604	74	2	xk	xk	PROPN
ejpam-5604	74	3	be	be	AUX
ejpam-5604	74	4	discrete	discrete	ADV
ejpam-5604	74	5	nonnegative	nonnegative	ADJ
ejpam-5604	74	6	integer	integer	NOUN
ejpam-5604	74	7	-	-	PUNCT
ejpam-5604	74	8	valued	value	VERB
ejpam-5604	74	9	random	random	ADJ
ejpam-5604	74	10	variables	variable	NOUN
ejpam-5604	74	11	.	.	PUNCT
ejpam-5604	75	1	in	in	ADP
ejpam-5604	75	2	theorem	theorem	ADJ
ejpam-5604	75	3	2.5	2.5	NUM
ejpam-5604	75	4	,	,	PUNCT
ejpam-5604	75	5	we	we	PRON
ejpam-5604	75	6	get	get	VERB
ejpam-5604	75	7	an	an	DET
ejpam-5604	75	8	expression	expression	NOUN
ejpam-5604	75	9	for	for	ADP
ejpam-5604	75	10	e[xr1	e[xr1	PROPN
ejpam-5604	75	11	1	1	NUM
ejpam-5604	75	12	xr2	xr2	NOUN
ejpam-5604	75	13	2	2	NUM
ejpam-5604	75	14	·	·	PUNCT
ejpam-5604	75	15	·	·	PUNCT
ejpam-5604	76	1	·	·	PUNCT
ejpam-5604	76	2	xrk	xrk	PROPN
ejpam-5604	77	1	k	k	X
ejpam-5604	77	2	]	]	PUNCT
ejpam-5604	77	3	as	as	ADP
ejpam-5604	77	4	a	a	DET
ejpam-5604	77	5	multiple	multiple	ADJ
ejpam-5604	77	6	sum	sum	NOUN
ejpam-5604	77	7	over	over	ADP
ejpam-5604	77	8	x1	x1	PROPN
ejpam-5604	77	9	,	,	PUNCT
ejpam-5604	77	10	x2	x2	PROPN
ejpam-5604	77	11	,	,	PUNCT
ejpam-5604	77	12	.	.	PUNCT
ejpam-5604	77	13	.	.	PUNCT
ejpam-5604	77	14	.	.	PUNCT
ejpam-5604	78	1	,	,	PUNCT
ejpam-5604	78	2	xk	xk	PROPN
ejpam-5604	78	3	,	,	PUNCT
ejpam-5604	78	4	which	which	PRON
ejpam-5604	78	5	involves	involve	VERB
ejpam-5604	78	6	t	t	PROPN
ejpam-5604	78	7	(	(	PUNCT
ejpam-5604	78	8	x1	x1	PROPN
ejpam-5604	78	9	,	,	PUNCT
ejpam-5604	78	10	x2	x2	PROPN
ejpam-5604	78	11	,	,	PUNCT
ejpam-5604	78	12	.	.	PUNCT
ejpam-5604	78	13	.	.	PUNCT
ejpam-5604	78	14	.	.	PUNCT
ejpam-5604	79	1	,	,	PUNCT
ejpam-5604	79	2	xk	xk	PROPN
ejpam-5604	79	3	)	)	PUNCT
ejpam-5604	79	4	.	.	PUNCT
ejpam-5604	80	1	here	here	ADV
ejpam-5604	80	2	t	t	PROPN
ejpam-5604	80	3	(	(	PUNCT
ejpam-5604	80	4	x1	x1	PROPN
ejpam-5604	80	5	,	,	PUNCT
ejpam-5604	80	6	x2	x2	PROPN
ejpam-5604	80	7	,	,	PUNCT
ejpam-5604	80	8	.	.	PUNCT
ejpam-5604	80	9	.	.	PUNCT
ejpam-5604	80	10	.	.	PUNCT
ejpam-5604	81	1	,	,	PUNCT
ejpam-5604	81	2	xk	xk	PROPN
ejpam-5604	81	3	)	)	PUNCT
ejpam-5604	81	4	=	=	SYM
ejpam-5604	81	5	p{x1	p{x1	PROPN
ejpam-5604	81	6	>	>	PUNCT
ejpam-5604	81	7	x1	x1	PROPN
ejpam-5604	81	8	,	,	PUNCT
ejpam-5604	81	9	x2	x2	PROPN
ejpam-5604	81	10	>	>	X
ejpam-5604	81	11	x2	x2	PROPN
ejpam-5604	81	12	,	,	PUNCT
ejpam-5604	81	13	.	.	PUNCT
ejpam-5604	81	14	.	.	PUNCT
ejpam-5604	81	15	.	.	PUNCT
ejpam-5604	82	1	,	,	PUNCT
ejpam-5604	82	2	xk	xk	PROPN
ejpam-5604	82	3	>	>	X
ejpam-5604	82	4	xk	xk	PROPN
ejpam-5604	82	5	}	}	PUNCT
ejpam-5604	82	6	.	.	PUNCT
ejpam-5604	83	1	2	2	X
ejpam-5604	83	2	.	.	NOUN
ejpam-5604	83	3	degenerate	degenerate	ADJ
ejpam-5604	83	4	moments	moment	NOUN
ejpam-5604	83	5	and	and	CCONJ
ejpam-5604	83	6	expectation	expectation	NOUN
ejpam-5604	83	7	of	of	ADP
ejpam-5604	83	8	monomials	monomial	NOUN
ejpam-5604	83	9	for	for	ADP
ejpam-5604	83	10	r	r	NOUN
ejpam-5604	83	11	∈	∈	PROPN
ejpam-5604	83	12	n	n	CCONJ
ejpam-5604	83	13	,	,	PUNCT
ejpam-5604	83	14	the	the	DET
ejpam-5604	83	15	r	r	NOUN
ejpam-5604	83	16	-	-	PUNCT
ejpam-5604	83	17	th	th	ADV
ejpam-5604	83	18	degenerate	degenerate	ADJ
ejpam-5604	83	19	moment	moment	NOUN
ejpam-5604	83	20	of	of	ADP
ejpam-5604	83	21	x	x	PROPN
ejpam-5604	83	22	is	be	AUX
ejpam-5604	83	23	given	give	VERB
ejpam-5604	83	24	by	by	ADP
ejpam-5604	83	25	e	e	PROPN
ejpam-5604	83	26	[	[	PUNCT
ejpam-5604	83	27	(	(	PUNCT
ejpam-5604	83	28	x)r	x)r	NOUN
ejpam-5604	83	29	,	,	PUNCT
ejpam-5604	83	30	λ	λ	X
ejpam-5604	83	31	]	]	X
ejpam-5604	83	32	=	=	PUNCT
ejpam-5604	84	1	∞∑	∞∑	NUM
ejpam-5604	84	2	x=0	x=0	NUM
ejpam-5604	84	3	px(x)(x)r	px(x)(x)r	NOUN
ejpam-5604	84	4	,	,	PUNCT
ejpam-5604	84	5	λ	λ	X
ejpam-5604	84	6	=	=	PUNCT
ejpam-5604	84	7	∞∑	∞∑	NUM
ejpam-5604	84	8	x=1	x=1	PUNCT
ejpam-5604	84	9	px(x)(x)r	px(x)(x)r	NOUN
ejpam-5604	84	10	,	,	PUNCT
ejpam-5604	84	11	λ	λ	X
ejpam-5604	84	12	=	=	SYM
ejpam-5604	84	13	∞∑	∞∑	NUM
ejpam-5604	84	14	x=0	x=0	PUNCT
ejpam-5604	84	15	px(x+	px(x+	PROPN
ejpam-5604	84	16	1)(x+	1)(x+	NUM
ejpam-5604	84	17	1)r	1)r	NUM
ejpam-5604	84	18	,	,	PUNCT
ejpam-5604	84	19	λ	λ	PROPN
ejpam-5604	84	20	(	(	PUNCT
ejpam-5604	84	21	13	13	NUM
ejpam-5604	84	22	)	)	PUNCT
ejpam-5604	84	23	=	=	NOUN
ejpam-5604	85	1	∞∑	∞∑	NUM
ejpam-5604	85	2	x=0	x=0	NUM
ejpam-5604	85	3	px(x+	px(x+	PROPN
ejpam-5604	85	4	1	1	NUM
ejpam-5604	85	5	)	)	PUNCT
ejpam-5604	85	6	x∑	x∑	X
ejpam-5604	85	7	i=0	i=0	PROPN
ejpam-5604	85	8	(	(	PUNCT
ejpam-5604	85	9	(	(	PUNCT
ejpam-5604	85	10	i+	i+	NUM
ejpam-5604	85	11	1)r	1)r	NUM
ejpam-5604	85	12	,	,	PUNCT
ejpam-5604	85	13	λ	λ	X
ejpam-5604	85	14	−	−	PROPN
ejpam-5604	85	15	(	(	PUNCT
ejpam-5604	85	16	i)r	i)r	NOUN
ejpam-5604	85	17	,	,	PUNCT
ejpam-5604	85	18	λ	λ	NOUN
ejpam-5604	85	19	)	)	PUNCT
ejpam-5604	85	20	=	=	PUNCT
ejpam-5604	86	1	∞∑	∞∑	NUM
ejpam-5604	86	2	i=0	i=0	PROPN
ejpam-5604	86	3	(	(	PUNCT
ejpam-5604	86	4	(	(	PUNCT
ejpam-5604	86	5	i+	i+	NUM
ejpam-5604	86	6	1)r	1)r	NUM
ejpam-5604	86	7	,	,	PUNCT
ejpam-5604	86	8	λ	λ	X
ejpam-5604	86	9	−	−	PROPN
ejpam-5604	86	10	(	(	PUNCT
ejpam-5604	86	11	i)r	i)r	NOUN
ejpam-5604	86	12	,	,	PUNCT
ejpam-5604	86	13	λ	λ	NOUN
ejpam-5604	86	14	)	)	PUNCT
ejpam-5604	87	1	∞∑	∞∑	NUM
ejpam-5604	87	2	x	x	X
ejpam-5604	87	3	=	=	X
ejpam-5604	87	4	i	i	PRON
ejpam-5604	87	5	px(x+	px(x+	VERB
ejpam-5604	87	6	1	1	NUM
ejpam-5604	87	7	)	)	PUNCT
ejpam-5604	87	8	=	=	NOUN
ejpam-5604	88	1	∞∑	∞∑	NUM
ejpam-5604	88	2	i=0	i=0	PROPN
ejpam-5604	88	3	(	(	PUNCT
ejpam-5604	88	4	(	(	PUNCT
ejpam-5604	88	5	i+	i+	NUM
ejpam-5604	88	6	1)r	1)r	NUM
ejpam-5604	88	7	,	,	PUNCT
ejpam-5604	88	8	λ	λ	X
ejpam-5604	88	9	−	−	PROPN
ejpam-5604	88	10	(	(	PUNCT
ejpam-5604	88	11	i)r	i)r	NOUN
ejpam-5604	88	12	,	,	PUNCT
ejpam-5604	88	13	λ	λ	NOUN
ejpam-5604	88	14	)	)	PUNCT
ejpam-5604	88	15	p{x	p{x	NOUN
ejpam-5604	88	16	>	>	X
ejpam-5604	89	1	i	i	NOUN
ejpam-5604	89	2	}	}	PUNCT
ejpam-5604	89	3	=	=	PUNCT
ejpam-5604	90	1	∞∑	∞∑	NUM
ejpam-5604	90	2	i=0	i=0	PROPN
ejpam-5604	90	3	(	(	PUNCT
ejpam-5604	90	4	(	(	PUNCT
ejpam-5604	90	5	i+	i+	NUM
ejpam-5604	90	6	1)r	1)r	NUM
ejpam-5604	90	7	,	,	PUNCT
ejpam-5604	90	8	λ	λ	X
ejpam-5604	90	9	−	−	PROPN
ejpam-5604	90	10	(	(	PUNCT
ejpam-5604	90	11	i)r	i)r	NOUN
ejpam-5604	90	12	,	,	PUNCT
ejpam-5604	90	13	λ	λ	NOUN
ejpam-5604	90	14	)	)	PUNCT
ejpam-5604	90	15	(	(	PUNCT
ejpam-5604	90	16	1−	1−	NUM
ejpam-5604	90	17	p{x	p{x	NOUN
ejpam-5604	90	18	≤	≤	PUNCT
ejpam-5604	90	19	i	i	PROPN
ejpam-5604	90	20	}	}	PUNCT
ejpam-5604	90	21	)	)	PUNCT
ejpam-5604	91	1	=	=	PUNCT
ejpam-5604	92	1	∞∑	∞∑	NUM
ejpam-5604	92	2	i=0	i=0	PROPN
ejpam-5604	92	3	(	(	PUNCT
ejpam-5604	92	4	(	(	PUNCT
ejpam-5604	92	5	i+	i+	NUM
ejpam-5604	92	6	1)r	1)r	NUM
ejpam-5604	92	7	,	,	PUNCT
ejpam-5604	92	8	λ	λ	X
ejpam-5604	92	9	−	−	PROPN
ejpam-5604	92	10	(	(	PUNCT
ejpam-5604	92	11	i)r	i)r	NOUN
ejpam-5604	92	12	,	,	PUNCT
ejpam-5604	92	13	λ	λ	NOUN
ejpam-5604	92	14	)	)	PUNCT
ejpam-5604	92	15	(	(	PUNCT
ejpam-5604	92	16	1−	1−	NUM
ejpam-5604	92	17	fx(i	fx(i	X
ejpam-5604	92	18	)	)	PUNCT
ejpam-5604	92	19	)	)	PUNCT
ejpam-5604	92	20	.	.	PUNCT
ejpam-5604	93	1	therefore	therefore	ADV
ejpam-5604	93	2	,	,	PUNCT
ejpam-5604	93	3	by	by	ADP
ejpam-5604	93	4	(	(	PUNCT
ejpam-5604	93	5	13	13	NUM
ejpam-5604	93	6	)	)	PUNCT
ejpam-5604	93	7	,	,	PUNCT
ejpam-5604	93	8	we	we	PRON
ejpam-5604	93	9	obtain	obtain	VERB
ejpam-5604	93	10	the	the	DET
ejpam-5604	93	11	following	follow	VERB
ejpam-5604	93	12	theorem	theorem	VERB
ejpam-5604	93	13	.	.	PUNCT
ejpam-5604	93	14	theorem	theorem	NOUN
ejpam-5604	93	15	1	1	NUM
ejpam-5604	93	16	.	.	PUNCT
ejpam-5604	94	1	let	let	VERB
ejpam-5604	94	2	r	r	PRON
ejpam-5604	94	3	be	be	AUX
ejpam-5604	94	4	a	a	DET
ejpam-5604	94	5	positive	positive	ADJ
ejpam-5604	94	6	integer	integer	NOUN
ejpam-5604	94	7	,	,	PUNCT
ejpam-5604	94	8	and	and	CCONJ
ejpam-5604	94	9	let	let	VERB
ejpam-5604	94	10	x	x	PRON
ejpam-5604	94	11	be	be	AUX
ejpam-5604	94	12	a	a	DET
ejpam-5604	94	13	discrete	discrete	ADJ
ejpam-5604	94	14	nonnegative	nonnegative	ADJ
ejpam-5604	94	15	integer	integer	NOUN
ejpam-5604	94	16	-	-	PUNCT
ejpam-5604	94	17	valued	value	VERB
ejpam-5604	94	18	random	random	ADJ
ejpam-5604	94	19	variable	variable	NOUN
ejpam-5604	94	20	.	.	PUNCT
ejpam-5604	95	1	then	then	ADV
ejpam-5604	95	2	the	the	DET
ejpam-5604	95	3	r	r	NOUN
ejpam-5604	95	4	-	-	PUNCT
ejpam-5604	95	5	th	th	ADV
ejpam-5604	95	6	degenerate	degenerate	ADJ
ejpam-5604	95	7	moment	moment	NOUN
ejpam-5604	95	8	of	of	ADP
ejpam-5604	95	9	x	x	PROPN
ejpam-5604	95	10	is	be	AUX
ejpam-5604	95	11	given	give	VERB
ejpam-5604	95	12	by	by	ADP
ejpam-5604	95	13	e	e	PROPN
ejpam-5604	95	14	[	[	PUNCT
ejpam-5604	95	15	(	(	PUNCT
ejpam-5604	95	16	x)r	x)r	NOUN
ejpam-5604	95	17	,	,	PUNCT
ejpam-5604	95	18	λ	λ	X
ejpam-5604	95	19	]	]	PUNCT
ejpam-5604	95	20	=	=	PUNCT
ejpam-5604	96	1	∞∑	∞∑	NUM
ejpam-5604	96	2	i=0	i=0	PROPN
ejpam-5604	96	3	(	(	PUNCT
ejpam-5604	96	4	(	(	PUNCT
ejpam-5604	96	5	i+	i+	NUM
ejpam-5604	96	6	1)r	1)r	NUM
ejpam-5604	96	7	,	,	PUNCT
ejpam-5604	96	8	λ	λ	X
ejpam-5604	96	9	−	−	PROPN
ejpam-5604	96	10	(	(	PUNCT
ejpam-5604	96	11	i)r	i)r	NOUN
ejpam-5604	96	12	,	,	PUNCT
ejpam-5604	96	13	λ	λ	NOUN
ejpam-5604	96	14	)	)	PUNCT
ejpam-5604	96	15	(	(	PUNCT
ejpam-5604	96	16	1−	1−	NUM
ejpam-5604	96	17	fx(i	fx(i	X
ejpam-5604	96	18	)	)	PUNCT
ejpam-5604	96	19	)	)	PUNCT
ejpam-5604	96	20	.	.	PUNCT
ejpam-5604	97	1	(	(	PUNCT
ejpam-5604	97	2	14	14	NUM
ejpam-5604	97	3	)	)	PUNCT
ejpam-5604	97	4	j.	j.	PROPN
ejpam-5604	97	5	kwon	kwon	PROPN
ejpam-5604	97	6	et	et	PROPN
ejpam-5604	97	7	al	al	PROPN
ejpam-5604	97	8	.	.	PUNCT
ejpam-5604	97	9	/	/	SYM
ejpam-5604	97	10	eur	eur	PROPN
ejpam-5604	97	11	.	.	PUNCT
ejpam-5604	98	1	j.	j.	PROPN
ejpam-5604	98	2	pure	pure	PROPN
ejpam-5604	98	3	appl	appl	PROPN
ejpam-5604	98	4	.	.	PROPN
ejpam-5604	98	5	math	math	PROPN
ejpam-5604	98	6	,	,	PUNCT
ejpam-5604	98	7	17	17	NUM
ejpam-5604	98	8	(	(	PUNCT
ejpam-5604	98	9	4	4	NUM
ejpam-5604	98	10	)	)	PUNCT
ejpam-5604	98	11	(	(	PUNCT
ejpam-5604	98	12	2024	2024	NUM
ejpam-5604	98	13	)	)	PUNCT
ejpam-5604	98	14	,	,	PUNCT
ejpam-5604	98	15	3847	3847	NUM
ejpam-5604	98	16	-	-	SYM
ejpam-5604	98	17	3855	3855	NUM
ejpam-5604	98	18	3850	3850	NUM
ejpam-5604	98	19	note	note	VERB
ejpam-5604	98	20	that	that	SCONJ
ejpam-5604	98	21	,	,	PUNCT
ejpam-5604	98	22	when	when	SCONJ
ejpam-5604	98	23	r	r	NOUN
ejpam-5604	98	24	=	=	SYM
ejpam-5604	98	25	1	1	NUM
ejpam-5604	98	26	,	,	PUNCT
ejpam-5604	98	27	we	we	PRON
ejpam-5604	98	28	have	have	VERB
ejpam-5604	98	29	e[x	e[x	NOUN
ejpam-5604	98	30	]	]	X
ejpam-5604	98	31	=	=	PUNCT
ejpam-5604	98	32	∞∑	∞∑	NUM
ejpam-5604	98	33	i=0	i=0	PROPN
ejpam-5604	98	34	(	(	PUNCT
ejpam-5604	98	35	1−	1−	NUM
ejpam-5604	98	36	fx(i	fx(i	X
ejpam-5604	98	37	)	)	PUNCT
ejpam-5604	98	38	)	)	PUNCT
ejpam-5604	99	1	=	=	PUNCT
ejpam-5604	100	1	∞∑	∞∑	NUM
ejpam-5604	100	2	i=0	i=0	PROPN
ejpam-5604	100	3	p{x	p{x	X
ejpam-5604	100	4	>	>	X
ejpam-5604	100	5	i	i	PROPN
ejpam-5604	100	6	}	}	PUNCT
ejpam-5604	100	7	.	.	PUNCT
ejpam-5604	101	1	assume	assume	VERB
ejpam-5604	101	2	that	that	SCONJ
ejpam-5604	101	3	x	x	PRON
ejpam-5604	101	4	and	and	CCONJ
ejpam-5604	101	5	y	y	PROPN
ejpam-5604	101	6	are	be	AUX
ejpam-5604	101	7	discrete	discrete	ADJ
ejpam-5604	101	8	nonnegative	nonnegative	ADJ
ejpam-5604	101	9	integer	integer	NOUN
ejpam-5604	101	10	-	-	PUNCT
ejpam-5604	101	11	valued	value	VERB
ejpam-5604	101	12	random	random	ADJ
ejpam-5604	101	13	variables	variable	NOUN
ejpam-5604	101	14	with	with	ADP
ejpam-5604	101	15	their	their	PRON
ejpam-5604	101	16	respective	respective	ADJ
ejpam-5604	101	17	probability	probability	NOUN
ejpam-5604	101	18	density	density	NOUN
ejpam-5604	101	19	functions	function	NOUN
ejpam-5604	101	20	px(x	px(x	ADV
ejpam-5604	101	21	)	)	PUNCT
ejpam-5604	101	22	and	and	CCONJ
ejpam-5604	101	23	py	py	INTJ
ejpam-5604	101	24	(	(	PUNCT
ejpam-5604	101	25	y	y	PROPN
ejpam-5604	101	26	)	)	PUNCT
ejpam-5604	101	27	.	.	PUNCT
ejpam-5604	102	1	let	let	VERB
ejpam-5604	102	2	t	t	PROPN
ejpam-5604	102	3	(	(	PUNCT
ejpam-5604	102	4	x	x	PROPN
ejpam-5604	102	5	,	,	PUNCT
ejpam-5604	102	6	y	y	NOUN
ejpam-5604	102	7	)	)	PUNCT
ejpam-5604	103	1	=	=	PUNCT
ejpam-5604	104	1	p{x	p{x	NOUN
ejpam-5604	104	2	>	>	X
ejpam-5604	105	1	x	x	X
ejpam-5604	105	2	,	,	PUNCT
ejpam-5604	105	3	y	y	PROPN
ejpam-5604	105	4	>	>	X
ejpam-5604	105	5	y	y	PROPN
ejpam-5604	105	6	}	}	PUNCT
ejpam-5604	105	7	,	,	PUNCT
ejpam-5604	105	8	and	and	CCONJ
ejpam-5604	105	9	let	let	VERB
ejpam-5604	105	10	p(x	p(x	PROPN
ejpam-5604	105	11	,	,	PUNCT
ejpam-5604	105	12	y	y	NOUN
ejpam-5604	105	13	)	)	PUNCT
ejpam-5604	105	14	be	be	VERB
ejpam-5604	105	15	the	the	DET
ejpam-5604	105	16	joint	joint	ADJ
ejpam-5604	105	17	probability	probability	NOUN
ejpam-5604	105	18	mass	mass	NOUN
ejpam-5604	105	19	function	function	NOUN
ejpam-5604	105	20	of	of	ADP
ejpam-5604	105	21	x	x	PROPN
ejpam-5604	105	22	and	and	CCONJ
ejpam-5604	105	23	y	y	PROPN
ejpam-5604	105	24	.	.	PUNCT
ejpam-5604	106	1	now	now	ADV
ejpam-5604	106	2	,	,	PUNCT
ejpam-5604	106	3	we	we	PRON
ejpam-5604	106	4	observe	observe	VERB
ejpam-5604	106	5	that	that	SCONJ
ejpam-5604	106	6	e[xy	e[xy	ADJ
ejpam-5604	106	7	]	]	X
ejpam-5604	106	8	=	=	SYM
ejpam-5604	106	9	∞∑	∞∑	NUM
ejpam-5604	106	10	x=0	x=0	NUM
ejpam-5604	107	1	∞∑	∞∑	NUM
ejpam-5604	107	2	y=0	y=0	X
ejpam-5604	107	3	xyp(x	xyp(x	PROPN
ejpam-5604	107	4	,	,	PUNCT
ejpam-5604	107	5	y	y	NOUN
ejpam-5604	107	6	)	)	PUNCT
ejpam-5604	107	7	=	=	PUNCT
ejpam-5604	108	1	∞∑	∞∑	NUM
ejpam-5604	108	2	x=1	x=1	PUNCT
ejpam-5604	109	1	∞∑	∞∑	NUM
ejpam-5604	109	2	y=1	y=1	PROPN
ejpam-5604	109	3	xyp(x	xyp(x	PROPN
ejpam-5604	109	4	,	,	PUNCT
ejpam-5604	109	5	y	y	PROPN
ejpam-5604	109	6	)	)	PUNCT
ejpam-5604	109	7	(	(	PUNCT
ejpam-5604	109	8	15	15	NUM
ejpam-5604	109	9	)	)	PUNCT
ejpam-5604	109	10	=	=	NOUN
ejpam-5604	110	1	∞∑	∞∑	NUM
ejpam-5604	110	2	x=1	x=1	PUNCT
ejpam-5604	111	1	∞∑	∞∑	NUM
ejpam-5604	111	2	y=1	y=1	NOUN
ejpam-5604	111	3	x∑	x∑	PUNCT
ejpam-5604	112	1	i=1	i=1	PROPN
ejpam-5604	112	2	y∑	y∑	PROPN
ejpam-5604	112	3	j=1	j=1	PROPN
ejpam-5604	112	4	p(x	p(x	PROPN
ejpam-5604	112	5	,	,	PUNCT
ejpam-5604	112	6	y	y	NOUN
ejpam-5604	112	7	)	)	PUNCT
ejpam-5604	112	8	=	=	PUNCT
ejpam-5604	113	1	∞∑	∞∑	NUM
ejpam-5604	113	2	i=1	i=1	NUM
ejpam-5604	113	3	∞∑	∞∑	NUM
ejpam-5604	113	4	j=1	j=1	NOUN
ejpam-5604	114	1	∞∑	∞∑	NUM
ejpam-5604	114	2	x	x	NOUN
ejpam-5604	114	3	=	=	NOUN
ejpam-5604	114	4	i	i	PROPN
ejpam-5604	114	5	∞∑	∞∑	NUM
ejpam-5604	114	6	y	y	PROPN
ejpam-5604	114	7	=	=	PROPN
ejpam-5604	114	8	j	j	PROPN
ejpam-5604	114	9	p(x	p(x	PROPN
ejpam-5604	114	10	,	,	PUNCT
ejpam-5604	114	11	y	y	NOUN
ejpam-5604	114	12	)	)	PUNCT
ejpam-5604	114	13	=	=	NOUN
ejpam-5604	115	1	∞∑	∞∑	NUM
ejpam-5604	115	2	i=0	i=0	PROPN
ejpam-5604	115	3	∞∑	∞∑	NUM
ejpam-5604	115	4	j=0	j=0	ADJ
ejpam-5604	115	5	∞∑	∞∑	NUM
ejpam-5604	115	6	x	x	NOUN
ejpam-5604	115	7	=	=	NOUN
ejpam-5604	115	8	i+1	i+1	SYM
ejpam-5604	115	9	∞∑	∞∑	PROPN
ejpam-5604	115	10	y	y	PROPN
ejpam-5604	115	11	=	=	ADJ
ejpam-5604	115	12	j+1	j+1	ADJ
ejpam-5604	115	13	p(x	p(x	PROPN
ejpam-5604	115	14	,	,	PUNCT
ejpam-5604	115	15	y	y	NOUN
ejpam-5604	115	16	)	)	PUNCT
ejpam-5604	115	17	=	=	NOUN
ejpam-5604	116	1	∞∑	∞∑	NUM
ejpam-5604	116	2	i=0	i=0	PROPN
ejpam-5604	116	3	∞∑	∞∑	NUM
ejpam-5604	116	4	j=0	j=0	PROPN
ejpam-5604	116	5	p{x	p{x	NOUN
ejpam-5604	116	6	>	>	X
ejpam-5604	117	1	i	i	PROPN
ejpam-5604	117	2	,	,	PUNCT
ejpam-5604	117	3	y	y	PROPN
ejpam-5604	117	4	>	>	X
ejpam-5604	117	5	j	j	PROPN
ejpam-5604	117	6	}	}	PUNCT
ejpam-5604	117	7	=	=	PUNCT
ejpam-5604	118	1	∞∑	∞∑	NUM
ejpam-5604	118	2	i=0	i=0	PROPN
ejpam-5604	118	3	∞∑	∞∑	NUM
ejpam-5604	118	4	j=0	j=0	PROPN
ejpam-5604	118	5	t	t	PROPN
ejpam-5604	118	6	(	(	PUNCT
ejpam-5604	118	7	i	i	PROPN
ejpam-5604	118	8	,	,	PUNCT
ejpam-5604	118	9	j	j	PROPN
ejpam-5604	118	10	)	)	PUNCT
ejpam-5604	118	11	=	=	PUNCT
ejpam-5604	119	1	∞∑	∞∑	NUM
ejpam-5604	119	2	x=0	x=0	NUM
ejpam-5604	119	3	∞∑	∞∑	NUM
ejpam-5604	119	4	y=0	y=0	NOUN
ejpam-5604	119	5	t	t	NOUN
ejpam-5604	119	6	(	(	PUNCT
ejpam-5604	119	7	x	x	NOUN
ejpam-5604	119	8	,	,	PUNCT
ejpam-5604	119	9	y	y	PROPN
ejpam-5604	119	10	)	)	PUNCT
ejpam-5604	119	11	.	.	PUNCT
ejpam-5604	120	1	therefore	therefore	ADV
ejpam-5604	120	2	,	,	PUNCT
ejpam-5604	120	3	by	by	ADP
ejpam-5604	120	4	(	(	PUNCT
ejpam-5604	120	5	15	15	NUM
ejpam-5604	120	6	)	)	PUNCT
ejpam-5604	120	7	,	,	PUNCT
ejpam-5604	120	8	we	we	PRON
ejpam-5604	120	9	obtain	obtain	VERB
ejpam-5604	120	10	the	the	DET
ejpam-5604	120	11	following	follow	VERB
ejpam-5604	120	12	theorem	theorem	VERB
ejpam-5604	120	13	.	.	PUNCT
ejpam-5604	120	14	theorem	theorem	NOUN
ejpam-5604	120	15	2	2	NUM
ejpam-5604	120	16	.	.	PUNCT
ejpam-5604	121	1	let	let	VERB
ejpam-5604	121	2	x	x	PRON
ejpam-5604	121	3	and	and	CCONJ
ejpam-5604	121	4	y	y	PROPN
ejpam-5604	121	5	be	be	AUX
ejpam-5604	121	6	discrete	discrete	ADV
ejpam-5604	121	7	nonnegative	nonnegative	ADJ
ejpam-5604	121	8	integer	integer	NOUN
ejpam-5604	121	9	-	-	PUNCT
ejpam-5604	121	10	valued	value	VERB
ejpam-5604	121	11	random	random	ADJ
ejpam-5604	121	12	variables	variable	NOUN
ejpam-5604	121	13	.	.	PUNCT
ejpam-5604	122	1	then	then	ADV
ejpam-5604	122	2	we	we	PRON
ejpam-5604	122	3	have	have	VERB
ejpam-5604	122	4	e[xy	e[xy	NOUN
ejpam-5604	122	5	]	]	X
ejpam-5604	122	6	=	=	SYM
ejpam-5604	122	7	∞∑	∞∑	NUM
ejpam-5604	122	8	x=0	x=0	NUM
ejpam-5604	123	1	∞∑	∞∑	NUM
ejpam-5604	123	2	y=0	y=0	NOUN
ejpam-5604	123	3	t	t	NOUN
ejpam-5604	123	4	(	(	PUNCT
ejpam-5604	123	5	x	x	NOUN
ejpam-5604	123	6	,	,	PUNCT
ejpam-5604	123	7	y	y	PROPN
ejpam-5604	123	8	)	)	PUNCT
ejpam-5604	123	9	,	,	PUNCT
ejpam-5604	123	10	where	where	SCONJ
ejpam-5604	123	11	t	t	PROPN
ejpam-5604	123	12	(	(	PUNCT
ejpam-5604	123	13	x	x	PROPN
ejpam-5604	123	14	,	,	PUNCT
ejpam-5604	123	15	y	y	NOUN
ejpam-5604	123	16	)	)	PUNCT
ejpam-5604	123	17	=	=	PUNCT
ejpam-5604	124	1	p{x	p{x	NOUN
ejpam-5604	124	2	>	>	X
ejpam-5604	125	1	x	x	X
ejpam-5604	125	2	,	,	PUNCT
ejpam-5604	125	3	y	y	PROPN
ejpam-5604	125	4	>	>	X
ejpam-5604	125	5	y	y	PROPN
ejpam-5604	125	6	}	}	PUNCT
ejpam-5604	125	7	.	.	PUNCT
ejpam-5604	126	1	if	if	SCONJ
ejpam-5604	126	2	x	x	PRON
ejpam-5604	126	3	and	and	CCONJ
ejpam-5604	126	4	y	y	PROPN
ejpam-5604	126	5	are	be	AUX
ejpam-5604	126	6	independent	independent	ADJ
ejpam-5604	126	7	,	,	PUNCT
ejpam-5604	126	8	then	then	ADV
ejpam-5604	126	9	we	we	PRON
ejpam-5604	126	10	note	note	VERB
ejpam-5604	126	11	that	that	SCONJ
ejpam-5604	126	12	e[xy	e[xy	ADJ
ejpam-5604	126	13	]	]	X
ejpam-5604	126	14	=	=	SYM
ejpam-5604	126	15	e[x]e[y	e[x]e[y	X
ejpam-5604	126	16	]	]	PUNCT
ejpam-5604	126	17	=	=	PUNCT
ejpam-5604	127	1	∞∑	∞∑	NUM
ejpam-5604	127	2	x=0	x=0	NUM
ejpam-5604	127	3	∞∑	∞∑	NUM
ejpam-5604	127	4	y=0	y=0	X
ejpam-5604	127	5	xypx(x)py	xypx(x)py	NOUN
ejpam-5604	127	6	(	(	PUNCT
ejpam-5604	127	7	y	y	NOUN
ejpam-5604	127	8	)	)	PUNCT
ejpam-5604	127	9	.	.	PUNCT
ejpam-5604	128	1	note	note	VERB
ejpam-5604	128	2	that	that	SCONJ
ejpam-5604	128	3	(	(	PUNCT
ejpam-5604	128	4	i+	i+	NUM
ejpam-5604	128	5	1)r	1)r	NUM
ejpam-5604	128	6	,	,	PUNCT
ejpam-5604	128	7	λ	λ	X
ejpam-5604	128	8	−	−	PROPN
ejpam-5604	128	9	(	(	PUNCT
ejpam-5604	128	10	i)r	i)r	NOUN
ejpam-5604	128	11	,	,	PUNCT
ejpam-5604	128	12	λ	λ	PROPN
ejpam-5604	128	13	=	=	SYM
ejpam-5604	128	14	r∑	r∑	X
ejpam-5604	128	15	j=0	j=0	PROPN
ejpam-5604	128	16	(	(	PUNCT
ejpam-5604	128	17	r	r	NOUN
ejpam-5604	128	18	j	j	PROPN
ejpam-5604	128	19	)	)	PUNCT
ejpam-5604	128	20	(	(	PUNCT
ejpam-5604	128	21	i)r−j	i)r−j	PROPN
ejpam-5604	128	22	,	,	PUNCT
ejpam-5604	128	23	λ(1)j	λ(1)j	NOUN
ejpam-5604	128	24	,	,	PUNCT
ejpam-5604	128	25	λ	λ	X
ejpam-5604	128	26	−	−	PROPN
ejpam-5604	128	27	(	(	PUNCT
ejpam-5604	128	28	i)r	i)r	NOUN
ejpam-5604	128	29	,	,	PUNCT
ejpam-5604	128	30	λ	λ	PROPN
ejpam-5604	128	31	(	(	PUNCT
ejpam-5604	128	32	16	16	NUM
ejpam-5604	128	33	)	)	PUNCT
ejpam-5604	128	34	=	=	SYM
ejpam-5604	129	1	r∑	r∑	NOUN
ejpam-5604	129	2	j=1	j=1	NOUN
ejpam-5604	129	3	(	(	PUNCT
ejpam-5604	129	4	r	r	NOUN
ejpam-5604	129	5	j	j	PROPN
ejpam-5604	129	6	)	)	PUNCT
ejpam-5604	129	7	(	(	PUNCT
ejpam-5604	129	8	i)r−j	i)r−j	PROPN
ejpam-5604	129	9	,	,	PUNCT
ejpam-5604	129	10	λ(1)j	λ(1)j	NOUN
ejpam-5604	129	11	,	,	PUNCT
ejpam-5604	129	12	λ	λ	PROPN
ejpam-5604	129	13	,	,	PUNCT
ejpam-5604	129	14	(	(	PUNCT
ejpam-5604	129	15	r	r	NOUN
ejpam-5604	129	16	≥	≥	NOUN
ejpam-5604	129	17	1	1	NUM
ejpam-5604	129	18	)	)	PUNCT
ejpam-5604	129	19	.	.	PUNCT
ejpam-5604	130	1	thus	thus	ADV
ejpam-5604	130	2	,	,	PUNCT
ejpam-5604	130	3	by	by	ADP
ejpam-5604	130	4	(	(	PUNCT
ejpam-5604	130	5	14	14	NUM
ejpam-5604	130	6	)	)	PUNCT
ejpam-5604	130	7	and	and	CCONJ
ejpam-5604	130	8	(	(	PUNCT
ejpam-5604	130	9	16	16	NUM
ejpam-5604	130	10	)	)	PUNCT
ejpam-5604	130	11	,	,	PUNCT
ejpam-5604	130	12	we	we	PRON
ejpam-5604	130	13	get	get	VERB
ejpam-5604	130	14	e	e	NOUN
ejpam-5604	130	15	[	[	PUNCT
ejpam-5604	130	16	(	(	PUNCT
ejpam-5604	130	17	x)r	x)r	NOUN
ejpam-5604	130	18	,	,	PUNCT
ejpam-5604	130	19	λ	λ	X
ejpam-5604	130	20	]	]	PUNCT
ejpam-5604	130	21	=	=	PUNCT
ejpam-5604	131	1	∞∑	∞∑	NUM
ejpam-5604	131	2	i=0	i=0	PROPN
ejpam-5604	131	3	(	(	PUNCT
ejpam-5604	131	4	(	(	PUNCT
ejpam-5604	131	5	i+	i+	NUM
ejpam-5604	131	6	1)r	1)r	NUM
ejpam-5604	131	7	,	,	PUNCT
ejpam-5604	131	8	λ	λ	X
ejpam-5604	131	9	−	−	PROPN
ejpam-5604	131	10	(	(	PUNCT
ejpam-5604	131	11	i)r	i)r	NOUN
ejpam-5604	131	12	,	,	PUNCT
ejpam-5604	131	13	λ	λ	NOUN
ejpam-5604	131	14	)	)	PUNCT
ejpam-5604	131	15	(	(	PUNCT
ejpam-5604	131	16	1−	1−	NUM
ejpam-5604	131	17	fx(i	fx(i	X
ejpam-5604	131	18	)	)	PUNCT
ejpam-5604	131	19	)	)	PUNCT
ejpam-5604	131	20	(	(	PUNCT
ejpam-5604	131	21	17	17	NUM
ejpam-5604	131	22	)	)	PUNCT
ejpam-5604	131	23	j.	j.	PROPN
ejpam-5604	131	24	kwon	kwon	PROPN
ejpam-5604	131	25	et	et	PROPN
ejpam-5604	131	26	al	al	PROPN
ejpam-5604	131	27	.	.	PUNCT
ejpam-5604	131	28	/	/	SYM
ejpam-5604	131	29	eur	eur	PROPN
ejpam-5604	131	30	.	.	PUNCT
ejpam-5604	132	1	j.	j.	PROPN
ejpam-5604	132	2	pure	pure	PROPN
ejpam-5604	132	3	appl	appl	PROPN
ejpam-5604	132	4	.	.	PROPN
ejpam-5604	132	5	math	math	PROPN
ejpam-5604	132	6	,	,	PUNCT
ejpam-5604	132	7	17	17	NUM
ejpam-5604	132	8	(	(	PUNCT
ejpam-5604	132	9	4	4	NUM
ejpam-5604	132	10	)	)	PUNCT
ejpam-5604	132	11	(	(	PUNCT
ejpam-5604	132	12	2024	2024	NUM
ejpam-5604	132	13	)	)	PUNCT
ejpam-5604	132	14	,	,	PUNCT
ejpam-5604	132	15	3847	3847	NUM
ejpam-5604	132	16	-	-	SYM
ejpam-5604	132	17	3855	3855	NUM
ejpam-5604	132	18	3851	3851	NUM
ejpam-5604	132	19	=	=	PUNCT
ejpam-5604	133	1	∞∑	∞∑	NUM
ejpam-5604	133	2	i=0	i=0	ADJ
ejpam-5604	133	3	r∑	r∑	X
ejpam-5604	133	4	j=1	j=1	NOUN
ejpam-5604	133	5	(	(	PUNCT
ejpam-5604	133	6	r	r	NOUN
ejpam-5604	133	7	j	j	PROPN
ejpam-5604	133	8	)	)	PUNCT
ejpam-5604	133	9	(	(	PUNCT
ejpam-5604	133	10	i)r−j	i)r−j	PROPN
ejpam-5604	133	11	,	,	PUNCT
ejpam-5604	133	12	λ(1)j	λ(1)j	NOUN
ejpam-5604	133	13	,	,	PUNCT
ejpam-5604	133	14	λ	λ	PROPN
ejpam-5604	133	15	(	(	PUNCT
ejpam-5604	133	16	1−	1−	NUM
ejpam-5604	133	17	fx(i	fx(i	X
ejpam-5604	133	18	)	)	PUNCT
ejpam-5604	133	19	)	)	PUNCT
ejpam-5604	134	1	=	=	PUNCT
ejpam-5604	135	1	∞∑	∞∑	NUM
ejpam-5604	135	2	i=0	i=0	PROPN
ejpam-5604	135	3	r−1∑	r−1∑	NUM
ejpam-5604	135	4	j=0	j=0	PROPN
ejpam-5604	135	5	(	(	PUNCT
ejpam-5604	135	6	r	r	NOUN
ejpam-5604	135	7	j	j	PROPN
ejpam-5604	135	8	+	+	CCONJ
ejpam-5604	135	9	1	1	NUM
ejpam-5604	135	10	)	)	PUNCT
ejpam-5604	135	11	(	(	PUNCT
ejpam-5604	135	12	i)r−1−j	i)r−1−j	NOUN
ejpam-5604	135	13	,	,	PUNCT
ejpam-5604	135	14	λ(1)j+1,λ	λ(1)j+1,λ	PUNCT
ejpam-5604	135	15	(	(	PUNCT
ejpam-5604	135	16	1−	1−	NUM
ejpam-5604	135	17	fx(i	fx(i	X
ejpam-5604	135	18	)	)	PUNCT
ejpam-5604	135	19	)	)	PUNCT
ejpam-5604	135	20	.	.	PUNCT
ejpam-5604	136	1	therefore	therefore	ADV
ejpam-5604	136	2	,	,	PUNCT
ejpam-5604	136	3	by	by	ADP
ejpam-5604	136	4	(	(	PUNCT
ejpam-5604	136	5	17	17	NUM
ejpam-5604	136	6	)	)	PUNCT
ejpam-5604	136	7	,	,	PUNCT
ejpam-5604	136	8	we	we	PRON
ejpam-5604	136	9	obtain	obtain	VERB
ejpam-5604	136	10	the	the	DET
ejpam-5604	136	11	following	follow	VERB
ejpam-5604	136	12	theorem	theorem	VERB
ejpam-5604	136	13	.	.	PUNCT
ejpam-5604	136	14	theorem	theorem	NOUN
ejpam-5604	136	15	3	3	X
ejpam-5604	136	16	.	.	PUNCT
ejpam-5604	137	1	let	let	VERB
ejpam-5604	137	2	r	r	PRON
ejpam-5604	137	3	be	be	AUX
ejpam-5604	137	4	a	a	DET
ejpam-5604	137	5	positive	positive	ADJ
ejpam-5604	137	6	integer	integer	NOUN
ejpam-5604	137	7	,	,	PUNCT
ejpam-5604	137	8	and	and	CCONJ
ejpam-5604	137	9	let	let	VERB
ejpam-5604	137	10	x	x	PRON
ejpam-5604	137	11	be	be	AUX
ejpam-5604	137	12	a	a	DET
ejpam-5604	137	13	discrete	discrete	ADJ
ejpam-5604	137	14	nonnegative	nonnegative	ADJ
ejpam-5604	137	15	integer	integer	NOUN
ejpam-5604	137	16	-	-	PUNCT
ejpam-5604	137	17	valued	value	VERB
ejpam-5604	137	18	random	random	ADJ
ejpam-5604	137	19	variable	variable	NOUN
ejpam-5604	137	20	.	.	PUNCT
ejpam-5604	138	1	then	then	ADV
ejpam-5604	138	2	the	the	DET
ejpam-5604	138	3	r	r	NOUN
ejpam-5604	138	4	-	-	PUNCT
ejpam-5604	138	5	th	th	ADV
ejpam-5604	138	6	degenerate	degenerate	ADJ
ejpam-5604	138	7	moment	moment	NOUN
ejpam-5604	138	8	of	of	ADP
ejpam-5604	138	9	x	x	PROPN
ejpam-5604	138	10	is	be	AUX
ejpam-5604	138	11	given	give	VERB
ejpam-5604	138	12	by	by	ADP
ejpam-5604	138	13	e	e	PROPN
ejpam-5604	138	14	[	[	PUNCT
ejpam-5604	138	15	(	(	PUNCT
ejpam-5604	138	16	x)r	x)r	NOUN
ejpam-5604	138	17	,	,	PUNCT
ejpam-5604	138	18	λ	λ	X
ejpam-5604	138	19	]	]	X
ejpam-5604	138	20	=	=	PUNCT
ejpam-5604	139	1	∞∑	∞∑	NUM
ejpam-5604	139	2	i=0	i=0	PROPN
ejpam-5604	139	3	r−1∑	r−1∑	NUM
ejpam-5604	139	4	j=0	j=0	PROPN
ejpam-5604	139	5	(	(	PUNCT
ejpam-5604	139	6	r	r	NOUN
ejpam-5604	139	7	j	j	PROPN
ejpam-5604	139	8	+	+	CCONJ
ejpam-5604	139	9	1	1	NUM
ejpam-5604	139	10	)	)	PUNCT
ejpam-5604	139	11	(	(	PUNCT
ejpam-5604	139	12	i)r−1−j	i)r−1−j	NOUN
ejpam-5604	139	13	,	,	PUNCT
ejpam-5604	139	14	λ(1)j+1,λ	λ(1)j+1,λ	PUNCT
ejpam-5604	139	15	(	(	PUNCT
ejpam-5604	139	16	1−	1−	NUM
ejpam-5604	139	17	fx(i	fx(i	X
ejpam-5604	139	18	)	)	PUNCT
ejpam-5604	139	19	)	)	PUNCT
ejpam-5604	139	20	.	.	PUNCT
ejpam-5604	139	21	assume	assume	VERB
ejpam-5604	139	22	that	that	SCONJ
ejpam-5604	139	23	x	x	X
ejpam-5604	139	24	,	,	PUNCT
ejpam-5604	139	25	y	y	PROPN
ejpam-5604	139	26	are	be	AUX
ejpam-5604	139	27	discrete	discrete	ADJ
ejpam-5604	139	28	nonnegative	nonnegative	ADJ
ejpam-5604	139	29	integer	integer	NOUN
ejpam-5604	139	30	-	-	PUNCT
ejpam-5604	139	31	valued	value	VERB
ejpam-5604	139	32	random	random	ADJ
ejpam-5604	139	33	variables	variable	NOUN
ejpam-5604	139	34	.	.	PUNCT
ejpam-5604	140	1	let	let	VERB
ejpam-5604	140	2	r1	r1	PROPN
ejpam-5604	140	3	,	,	PUNCT
ejpam-5604	140	4	r2	r2	PROPN
ejpam-5604	140	5	be	be	VERB
ejpam-5604	140	6	positive	positive	ADJ
ejpam-5604	140	7	integers	integer	NOUN
ejpam-5604	140	8	.	.	PUNCT
ejpam-5604	141	1	then	then	ADV
ejpam-5604	141	2	we	we	PRON
ejpam-5604	141	3	have	have	VERB
ejpam-5604	141	4	e	e	X
ejpam-5604	141	5	[	[	PUNCT
ejpam-5604	141	6	xr1y	xr1y	PROPN
ejpam-5604	141	7	r2	r2	PROPN
ejpam-5604	141	8	]	]	PUNCT
ejpam-5604	142	1	=	=	PUNCT
ejpam-5604	143	1	∞∑	∞∑	NUM
ejpam-5604	143	2	x=0	x=0	NUM
ejpam-5604	143	3	∞∑	∞∑	NUM
ejpam-5604	143	4	y=0	y=0	NOUN
ejpam-5604	143	5	xr1yr2p(x	xr1yr2p(x	PROPN
ejpam-5604	143	6	,	,	PUNCT
ejpam-5604	143	7	y	y	NOUN
ejpam-5604	143	8	)	)	PUNCT
ejpam-5604	143	9	=	=	PUNCT
ejpam-5604	144	1	∞∑	∞∑	NUM
ejpam-5604	144	2	x=1	x=1	PUNCT
ejpam-5604	145	1	∞∑	∞∑	NUM
ejpam-5604	145	2	y=1	y=1	NUM
ejpam-5604	145	3	xr1yr2p(x	xr1yr2p(x	PROPN
ejpam-5604	145	4	,	,	PUNCT
ejpam-5604	145	5	y	y	PROPN
ejpam-5604	145	6	)	)	PUNCT
ejpam-5604	145	7	(	(	PUNCT
ejpam-5604	145	8	18	18	NUM
ejpam-5604	145	9	)	)	PUNCT
ejpam-5604	145	10	=	=	NOUN
ejpam-5604	146	1	∞∑	∞∑	NUM
ejpam-5604	146	2	x=0	x=0	NUM
ejpam-5604	146	3	∞∑	∞∑	NUM
ejpam-5604	146	4	y=0	y=0	NOUN
ejpam-5604	146	5	(	(	PUNCT
ejpam-5604	146	6	x+	x+	PROPN
ejpam-5604	146	7	1)r1(y	1)r1(y	NUM
ejpam-5604	146	8	+	+	CCONJ
ejpam-5604	146	9	1)r2p(x+	1)r2p(x+	NUM
ejpam-5604	146	10	1	1	NUM
ejpam-5604	146	11	,	,	PUNCT
ejpam-5604	146	12	y	y	PROPN
ejpam-5604	146	13	+	+	NOUN
ejpam-5604	146	14	1	1	X
ejpam-5604	146	15	)	)	PUNCT
ejpam-5604	146	16	=	=	NOUN
ejpam-5604	147	1	∞∑	∞∑	NUM
ejpam-5604	147	2	x=0	x=0	NUM
ejpam-5604	147	3	∞∑	∞∑	NUM
ejpam-5604	147	4	y=0	y=0	NOUN
ejpam-5604	147	5	x∑	x∑	X
ejpam-5604	147	6	i=0	i=0	PROPN
ejpam-5604	147	7	(	(	PUNCT
ejpam-5604	147	8	(	(	PUNCT
ejpam-5604	147	9	i+	i+	NUM
ejpam-5604	147	10	1)r1	1)r1	NUM
ejpam-5604	147	11	−	−	NOUN
ejpam-5604	147	12	ir1	ir1	PROPN
ejpam-5604	147	13	)	)	PUNCT
ejpam-5604	147	14	y∑	y∑	PROPN
ejpam-5604	147	15	j=0	j=0	PROPN
ejpam-5604	147	16	(	(	PUNCT
ejpam-5604	147	17	(	(	PUNCT
ejpam-5604	147	18	j	j	X
ejpam-5604	147	19	+	+	CCONJ
ejpam-5604	147	20	1)r2	1)r2	NUM
ejpam-5604	147	21	−	−	PROPN
ejpam-5604	147	22	jr2	jr2	NOUN
ejpam-5604	147	23	)	)	PUNCT
ejpam-5604	148	1	p(x+	p(x+	ADV
ejpam-5604	148	2	1	1	NUM
ejpam-5604	148	3	,	,	PUNCT
ejpam-5604	148	4	y	y	PROPN
ejpam-5604	148	5	+	+	NOUN
ejpam-5604	148	6	1	1	X
ejpam-5604	148	7	)	)	PUNCT
ejpam-5604	148	8	=	=	NOUN
ejpam-5604	149	1	∞∑	∞∑	NUM
ejpam-5604	149	2	i=0	i=0	PROPN
ejpam-5604	149	3	∞∑	∞∑	NUM
ejpam-5604	149	4	j=0	j=0	PROPN
ejpam-5604	149	5	(	(	PUNCT
ejpam-5604	149	6	(	(	PUNCT
ejpam-5604	149	7	i+	i+	NUM
ejpam-5604	149	8	1)r1	1)r1	NUM
ejpam-5604	149	9	−	−	PUNCT
ejpam-5604	149	10	ir1	ir1	PROPN
ejpam-5604	149	11	)	)	PUNCT
ejpam-5604	149	12	(	(	PUNCT
ejpam-5604	149	13	(	(	PUNCT
ejpam-5604	149	14	j	j	NOUN
ejpam-5604	149	15	+	+	CCONJ
ejpam-5604	149	16	1)r2	1)r2	NUM
ejpam-5604	149	17	−	−	NOUN
ejpam-5604	149	18	jr2	jr2	NOUN
ejpam-5604	149	19	)	)	PUNCT
ejpam-5604	150	1	∞∑	∞∑	NUM
ejpam-5604	150	2	x	x	NOUN
ejpam-5604	150	3	=	=	NOUN
ejpam-5604	150	4	i	i	PROPN
ejpam-5604	150	5	∞∑	∞∑	NUM
ejpam-5604	150	6	y	y	PROPN
ejpam-5604	150	7	=	=	PROPN
ejpam-5604	150	8	j	j	PROPN
ejpam-5604	150	9	p(x+	p(x+	PROPN
ejpam-5604	150	10	1	1	NUM
ejpam-5604	150	11	,	,	PUNCT
ejpam-5604	150	12	y	y	PROPN
ejpam-5604	150	13	+	+	NOUN
ejpam-5604	150	14	1	1	X
ejpam-5604	150	15	)	)	PUNCT
ejpam-5604	150	16	=	=	NOUN
ejpam-5604	151	1	∞∑	∞∑	NUM
ejpam-5604	151	2	i=0	i=0	PROPN
ejpam-5604	151	3	∞∑	∞∑	NUM
ejpam-5604	151	4	j=0	j=0	PROPN
ejpam-5604	151	5	(	(	PUNCT
ejpam-5604	151	6	(	(	PUNCT
ejpam-5604	151	7	i+	i+	NUM
ejpam-5604	151	8	1)r1	1)r1	NUM
ejpam-5604	151	9	−	−	PUNCT
ejpam-5604	151	10	ir1	ir1	PROPN
ejpam-5604	151	11	)	)	PUNCT
ejpam-5604	151	12	(	(	PUNCT
ejpam-5604	151	13	(	(	PUNCT
ejpam-5604	151	14	j	j	NOUN
ejpam-5604	151	15	+	+	CCONJ
ejpam-5604	151	16	1)r2	1)r2	NUM
ejpam-5604	151	17	−	−	NOUN
ejpam-5604	151	18	jr2	jr2	NOUN
ejpam-5604	151	19	)	)	PUNCT
ejpam-5604	151	20	p{x	p{x	NOUN
ejpam-5604	151	21	>	>	X
ejpam-5604	152	1	i	i	PROPN
ejpam-5604	152	2	,	,	PUNCT
ejpam-5604	152	3	y	y	PROPN
ejpam-5604	152	4	>	>	X
ejpam-5604	152	5	j	j	PROPN
ejpam-5604	152	6	}	}	PUNCT
ejpam-5604	152	7	=	=	PUNCT
ejpam-5604	153	1	∞∑	∞∑	NUM
ejpam-5604	153	2	i=0	i=0	PROPN
ejpam-5604	153	3	∞∑	∞∑	NUM
ejpam-5604	153	4	j=0	j=0	PROPN
ejpam-5604	153	5	(	(	PUNCT
ejpam-5604	153	6	(	(	PUNCT
ejpam-5604	153	7	i+	i+	NUM
ejpam-5604	153	8	1)r1	1)r1	NUM
ejpam-5604	153	9	−	−	PUNCT
ejpam-5604	153	10	ir1	ir1	PROPN
ejpam-5604	153	11	)	)	PUNCT
ejpam-5604	153	12	(	(	PUNCT
ejpam-5604	153	13	(	(	PUNCT
ejpam-5604	153	14	j	j	NOUN
ejpam-5604	153	15	+	+	CCONJ
ejpam-5604	153	16	1)r2	1)r2	NUM
ejpam-5604	153	17	−	−	PROPN
ejpam-5604	153	18	jr2	jr2	NOUN
ejpam-5604	153	19	)	)	PUNCT
ejpam-5604	153	20	t	t	PROPN
ejpam-5604	153	21	(	(	PUNCT
ejpam-5604	153	22	i	i	PROPN
ejpam-5604	153	23	,	,	PUNCT
ejpam-5604	153	24	j	j	PROPN
ejpam-5604	153	25	)	)	PUNCT
ejpam-5604	153	26	=	=	PUNCT
ejpam-5604	154	1	∞∑	∞∑	NUM
ejpam-5604	154	2	x=0	x=0	NUM
ejpam-5604	154	3	∞∑	∞∑	NUM
ejpam-5604	154	4	y=0	y=0	NOUN
ejpam-5604	154	5	(	(	PUNCT
ejpam-5604	154	6	(	(	PUNCT
ejpam-5604	154	7	x+	x+	X
ejpam-5604	154	8	1)r1	1)r1	NUM
ejpam-5604	154	9	−	−	NOUN
ejpam-5604	154	10	xr1	xr1	NOUN
ejpam-5604	154	11	)	)	PUNCT
ejpam-5604	154	12	(	(	PUNCT
ejpam-5604	154	13	(	(	PUNCT
ejpam-5604	154	14	y	y	NOUN
ejpam-5604	154	15	+	+	NOUN
ejpam-5604	154	16	1)r2	1)r2	NUM
ejpam-5604	154	17	−	−	NOUN
ejpam-5604	154	18	yr2	yr2	NOUN
ejpam-5604	154	19	)	)	PUNCT
ejpam-5604	154	20	t	t	NOUN
ejpam-5604	154	21	(	(	PUNCT
ejpam-5604	154	22	x	x	X
ejpam-5604	154	23	,	,	PUNCT
ejpam-5604	154	24	y	y	PROPN
ejpam-5604	154	25	)	)	PUNCT
ejpam-5604	154	26	.	.	PUNCT
ejpam-5604	155	1	therefore	therefore	ADV
ejpam-5604	155	2	,	,	PUNCT
ejpam-5604	155	3	by	by	ADP
ejpam-5604	155	4	(	(	PUNCT
ejpam-5604	155	5	18	18	NUM
ejpam-5604	155	6	)	)	PUNCT
ejpam-5604	155	7	,	,	PUNCT
ejpam-5604	155	8	we	we	PRON
ejpam-5604	155	9	obtain	obtain	VERB
ejpam-5604	155	10	the	the	DET
ejpam-5604	155	11	following	follow	VERB
ejpam-5604	155	12	theorem	theorem	VERB
ejpam-5604	155	13	.	.	PUNCT
ejpam-5604	155	14	theorem	theorem	NOUN
ejpam-5604	155	15	4	4	NUM
ejpam-5604	155	16	.	.	PUNCT
ejpam-5604	156	1	let	let	VERB
ejpam-5604	156	2	r1	r1	PROPN
ejpam-5604	156	3	,	,	PUNCT
ejpam-5604	156	4	r2	r2	PROPN
ejpam-5604	156	5	be	be	VERB
ejpam-5604	156	6	positive	positive	ADJ
ejpam-5604	156	7	integers	integer	NOUN
ejpam-5604	156	8	,	,	PUNCT
ejpam-5604	156	9	and	and	CCONJ
ejpam-5604	156	10	let	let	VERB
ejpam-5604	156	11	x	x	PRON
ejpam-5604	156	12	,	,	PUNCT
ejpam-5604	156	13	y	y	PRON
ejpam-5604	156	14	be	be	AUX
ejpam-5604	156	15	discrete	discrete	ADV
ejpam-5604	156	16	nonnegative	nonnegative	ADJ
ejpam-5604	156	17	integervalued	integervalue	VERB
ejpam-5604	156	18	random	random	ADJ
ejpam-5604	156	19	variables	variable	NOUN
ejpam-5604	156	20	.	.	PUNCT
ejpam-5604	157	1	then	then	ADV
ejpam-5604	157	2	we	we	PRON
ejpam-5604	157	3	have	have	VERB
ejpam-5604	157	4	e	e	X
ejpam-5604	157	5	[	[	PUNCT
ejpam-5604	157	6	xr1y	xr1y	PROPN
ejpam-5604	157	7	r2	r2	PROPN
ejpam-5604	157	8	]	]	PUNCT
ejpam-5604	158	1	=	=	PUNCT
ejpam-5604	159	1	∞∑	∞∑	NUM
ejpam-5604	159	2	x=0	x=0	NUM
ejpam-5604	159	3	∞∑	∞∑	NUM
ejpam-5604	159	4	y=0	y=0	NOUN
ejpam-5604	159	5	(	(	PUNCT
ejpam-5604	159	6	(	(	PUNCT
ejpam-5604	159	7	x+	x+	X
ejpam-5604	159	8	1)r1	1)r1	NUM
ejpam-5604	159	9	−	−	NOUN
ejpam-5604	159	10	xr1	xr1	NOUN
ejpam-5604	159	11	)	)	PUNCT
ejpam-5604	159	12	(	(	PUNCT
ejpam-5604	159	13	(	(	PUNCT
ejpam-5604	159	14	y	y	NOUN
ejpam-5604	159	15	+	+	NOUN
ejpam-5604	159	16	1)r2	1)r2	NUM
ejpam-5604	159	17	−	−	NOUN
ejpam-5604	159	18	yr2	yr2	NOUN
ejpam-5604	159	19	)	)	PUNCT
ejpam-5604	159	20	t	t	NOUN
ejpam-5604	159	21	(	(	PUNCT
ejpam-5604	159	22	x	x	PROPN
ejpam-5604	159	23	,	,	PUNCT
ejpam-5604	159	24	y	y	PROPN
ejpam-5604	159	25	)	)	PUNCT
ejpam-5604	159	26	,	,	PUNCT
ejpam-5604	159	27	where	where	SCONJ
ejpam-5604	159	28	t	t	PROPN
ejpam-5604	159	29	(	(	PUNCT
ejpam-5604	159	30	x	x	PROPN
ejpam-5604	159	31	,	,	PUNCT
ejpam-5604	159	32	y	y	NOUN
ejpam-5604	159	33	)	)	PUNCT
ejpam-5604	159	34	=	=	PUNCT
ejpam-5604	160	1	p{x	p{x	NOUN
ejpam-5604	160	2	>	>	X
ejpam-5604	161	1	x	x	X
ejpam-5604	161	2	,	,	PUNCT
ejpam-5604	161	3	y	y	PROPN
ejpam-5604	161	4	>	>	X
ejpam-5604	161	5	y	y	PROPN
ejpam-5604	161	6	}	}	PUNCT
ejpam-5604	161	7	.	.	PUNCT
ejpam-5604	162	1	j.	j.	PROPN
ejpam-5604	162	2	kwon	kwon	PROPN
ejpam-5604	162	3	et	et	PROPN
ejpam-5604	162	4	al	al	PROPN
ejpam-5604	162	5	.	.	PUNCT
ejpam-5604	162	6	/	/	SYM
ejpam-5604	162	7	eur	eur	PROPN
ejpam-5604	162	8	.	.	PUNCT
ejpam-5604	163	1	j.	j.	PROPN
ejpam-5604	163	2	pure	pure	PROPN
ejpam-5604	163	3	appl	appl	PROPN
ejpam-5604	163	4	.	.	PROPN
ejpam-5604	163	5	math	math	PROPN
ejpam-5604	163	6	,	,	PUNCT
ejpam-5604	163	7	17	17	NUM
ejpam-5604	163	8	(	(	PUNCT
ejpam-5604	163	9	4	4	NUM
ejpam-5604	163	10	)	)	PUNCT
ejpam-5604	163	11	(	(	PUNCT
ejpam-5604	163	12	2024	2024	NUM
ejpam-5604	163	13	)	)	PUNCT
ejpam-5604	163	14	,	,	PUNCT
ejpam-5604	163	15	3847	3847	NUM
ejpam-5604	163	16	-	-	SYM
ejpam-5604	163	17	3855	3855	NUM
ejpam-5604	163	18	3852	3852	NUM
ejpam-5604	163	19	assume	assume	VERB
ejpam-5604	163	20	that	that	SCONJ
ejpam-5604	163	21	x1	x1	PROPN
ejpam-5604	163	22	,	,	PUNCT
ejpam-5604	163	23	x2	x2	PROPN
ejpam-5604	163	24	,	,	PUNCT
ejpam-5604	163	25	.	.	PUNCT
ejpam-5604	163	26	.	.	PUNCT
ejpam-5604	163	27	.	.	PUNCT
ejpam-5604	164	1	,	,	PUNCT
ejpam-5604	164	2	xk	xk	PROPN
ejpam-5604	164	3	are	be	AUX
ejpam-5604	164	4	discrete	discrete	ADJ
ejpam-5604	164	5	nonnegative	nonnegative	ADJ
ejpam-5604	164	6	integer	integer	NOUN
ejpam-5604	164	7	-	-	PUNCT
ejpam-5604	164	8	valued	value	VERB
ejpam-5604	164	9	random	random	ADJ
ejpam-5604	164	10	variables	variable	NOUN
ejpam-5604	164	11	.	.	PUNCT
ejpam-5604	165	1	the	the	DET
ejpam-5604	165	2	joint	joint	ADJ
ejpam-5604	165	3	probability	probability	NOUN
ejpam-5604	165	4	mass	mass	NOUN
ejpam-5604	165	5	function	function	NOUN
ejpam-5604	165	6	of	of	ADP
ejpam-5604	165	7	x1	x1	PROPN
ejpam-5604	165	8	,	,	PUNCT
ejpam-5604	165	9	x2	x2	PROPN
ejpam-5604	165	10	,	,	PUNCT
ejpam-5604	165	11	.	.	PUNCT
ejpam-5604	165	12	.	.	PUNCT
ejpam-5604	165	13	.	.	PUNCT
ejpam-5604	166	1	,	,	PUNCT
ejpam-5604	166	2	xk	xk	PROPN
ejpam-5604	166	3	is	be	AUX
ejpam-5604	166	4	defined	define	VERB
ejpam-5604	166	5	by	by	ADP
ejpam-5604	166	6	p(x1	p(x1	ADJ
ejpam-5604	166	7	,	,	PUNCT
ejpam-5604	166	8	x2	x2	PROPN
ejpam-5604	166	9	,	,	PUNCT
ejpam-5604	166	10	.	.	PUNCT
ejpam-5604	166	11	.	.	PUNCT
ejpam-5604	167	1	.	.	PUNCT
ejpam-5604	168	1	,	,	PUNCT
ejpam-5604	168	2	xk	xk	PROPN
ejpam-5604	168	3	)	)	PUNCT
ejpam-5604	168	4	=	=	SYM
ejpam-5604	168	5	p{x1	p{x1	PROPN
ejpam-5604	168	6	=	=	SYM
ejpam-5604	168	7	x1	x1	PROPN
ejpam-5604	168	8	,	,	PUNCT
ejpam-5604	168	9	x2	x2	PROPN
ejpam-5604	168	10	=	=	SYM
ejpam-5604	168	11	x2	x2	PROPN
ejpam-5604	168	12	,	,	PUNCT
ejpam-5604	168	13	.	.	PUNCT
ejpam-5604	168	14	.	.	PUNCT
ejpam-5604	168	15	.	.	PUNCT
ejpam-5604	169	1	,	,	PUNCT
ejpam-5604	169	2	xk	xk	PROPN
ejpam-5604	169	3	=	=	PUNCT
ejpam-5604	169	4	xk	xk	PROPN
ejpam-5604	169	5	}	}	PUNCT
ejpam-5604	169	6	.	.	PUNCT
ejpam-5604	170	1	(	(	PUNCT
ejpam-5604	170	2	19	19	NUM
ejpam-5604	170	3	)	)	PUNCT
ejpam-5604	170	4	the	the	DET
ejpam-5604	170	5	joint	joint	ADJ
ejpam-5604	170	6	cumulative	cumulative	ADJ
ejpam-5604	170	7	distribution	distribution	NOUN
ejpam-5604	170	8	function	function	NOUN
ejpam-5604	170	9	of	of	ADP
ejpam-5604	170	10	x1	x1	PROPN
ejpam-5604	170	11	,	,	PUNCT
ejpam-5604	170	12	.	.	PUNCT
ejpam-5604	170	13	.	.	PUNCT
ejpam-5604	171	1	.	.	PUNCT
ejpam-5604	172	1	,	,	PUNCT
ejpam-5604	172	2	xk	xk	PROPN
ejpam-5604	172	3	is	be	AUX
ejpam-5604	172	4	given	give	VERB
ejpam-5604	172	5	by	by	ADP
ejpam-5604	172	6	fx1,x2,	fx1,x2,	NOUN
ejpam-5604	172	7	...	...	PUNCT
ejpam-5604	172	8	,xk	,xk	PUNCT
ejpam-5604	172	9	(	(	PUNCT
ejpam-5604	172	10	a1	a1	NOUN
ejpam-5604	172	11	,	,	PUNCT
ejpam-5604	172	12	a2	a2	PROPN
ejpam-5604	172	13	,	,	PUNCT
ejpam-5604	172	14	.	.	PUNCT
ejpam-5604	172	15	.	.	PUNCT
ejpam-5604	172	16	.	.	PUNCT
ejpam-5604	173	1	,	,	PUNCT
ejpam-5604	173	2	ak	ak	PROPN
ejpam-5604	173	3	)	)	PUNCT
ejpam-5604	173	4	=	=	PUNCT
ejpam-5604	173	5	p{x1	p{x1	PROPN
ejpam-5604	173	6	≤	≤	NUM
ejpam-5604	173	7	a1	a1	NOUN
ejpam-5604	173	8	,	,	PUNCT
ejpam-5604	173	9	x2	x2	PROPN
ejpam-5604	173	10	≤	≤	PROPN
ejpam-5604	173	11	a2	a2	PROPN
ejpam-5604	173	12	,	,	PUNCT
ejpam-5604	173	13	.	.	PUNCT
ejpam-5604	173	14	.	.	PUNCT
ejpam-5604	173	15	.	.	PUNCT
ejpam-5604	174	1	,	,	PUNCT
ejpam-5604	174	2	xk	xk	PROPN
ejpam-5604	174	3	≤	≤	PROPN
ejpam-5604	174	4	ak	ak	PROPN
ejpam-5604	174	5	}	}	PUNCT
ejpam-5604	174	6	.	.	PUNCT
ejpam-5604	175	1	(	(	PUNCT
ejpam-5604	175	2	20	20	X
ejpam-5604	175	3	)	)	PUNCT
ejpam-5604	175	4	let	let	VERB
ejpam-5604	175	5	t	t	PROPN
ejpam-5604	175	6	(	(	PUNCT
ejpam-5604	175	7	x1	x1	PROPN
ejpam-5604	175	8	,	,	PUNCT
ejpam-5604	175	9	x2	x2	PROPN
ejpam-5604	175	10	,	,	PUNCT
ejpam-5604	175	11	.	.	PUNCT
ejpam-5604	175	12	.	.	PUNCT
ejpam-5604	176	1	.	.	PUNCT
ejpam-5604	177	1	,	,	PUNCT
ejpam-5604	177	2	xk	xk	PROPN
ejpam-5604	177	3	)	)	PUNCT
ejpam-5604	177	4	=	=	SYM
ejpam-5604	177	5	p{x1	p{x1	PROPN
ejpam-5604	177	6	>	>	PUNCT
ejpam-5604	177	7	x1	x1	PROPN
ejpam-5604	177	8	,	,	PUNCT
ejpam-5604	177	9	x2	x2	PROPN
ejpam-5604	177	10	>	>	X
ejpam-5604	177	11	x2	x2	PROPN
ejpam-5604	177	12	,	,	PUNCT
ejpam-5604	177	13	.	.	PUNCT
ejpam-5604	177	14	.	.	PUNCT
ejpam-5604	177	15	.	.	PUNCT
ejpam-5604	178	1	,	,	PUNCT
ejpam-5604	178	2	xk	xk	PROPN
ejpam-5604	178	3	>	>	X
ejpam-5604	178	4	xk	xk	PROPN
ejpam-5604	178	5	}	}	PUNCT
ejpam-5604	178	6	.	.	PUNCT
ejpam-5604	179	1	(	(	PUNCT
ejpam-5604	179	2	21	21	NUM
ejpam-5604	179	3	)	)	PUNCT
ejpam-5604	179	4	for	for	ADP
ejpam-5604	179	5	r1	r1	NOUN
ejpam-5604	179	6	,	,	PUNCT
ejpam-5604	179	7	r2	r2	PROPN
ejpam-5604	179	8	,	,	PUNCT
ejpam-5604	179	9	.	.	PUNCT
ejpam-5604	179	10	.	.	PUNCT
ejpam-5604	179	11	.	.	PUNCT
ejpam-5604	180	1	,	,	PUNCT
ejpam-5604	180	2	rk	rk	NOUN
ejpam-5604	180	3	∈	∈	PROPN
ejpam-5604	180	4	n	n	CCONJ
ejpam-5604	180	5	,	,	PUNCT
ejpam-5604	180	6	we	we	PRON
ejpam-5604	180	7	have	have	VERB
ejpam-5604	180	8	e	e	NOUN
ejpam-5604	180	9	[	[	PUNCT
ejpam-5604	180	10	xr1	xr1	PROPN
ejpam-5604	180	11	1	1	NUM
ejpam-5604	180	12	xr2	xr2	NOUN
ejpam-5604	180	13	2	2	NUM
ejpam-5604	180	14	·	·	PUNCT
ejpam-5604	180	15	·	·	PUNCT
ejpam-5604	180	16	·	·	PUNCT
ejpam-5604	180	17	xrk	xrk	X
ejpam-5604	181	1	k	k	X
ejpam-5604	181	2	]	]	PUNCT
ejpam-5604	182	1	=	=	PUNCT
ejpam-5604	182	2	∞∑	∞∑	NUM
ejpam-5604	182	3	x1=0	x1=0	PROPN
ejpam-5604	183	1	∞∑	∞∑	NUM
ejpam-5604	183	2	x2=0	x2=0	PUNCT
ejpam-5604	183	3	·	·	PUNCT
ejpam-5604	183	4	·	·	PUNCT
ejpam-5604	183	5	·	·	PUNCT
ejpam-5604	184	1	∞∑	∞∑	NUM
ejpam-5604	184	2	xk=0	xk=0	PROPN
ejpam-5604	184	3	xr11	xr11	PROPN
ejpam-5604	184	4	xr22	xr22	PROPN
ejpam-5604	184	5	·	·	PUNCT
ejpam-5604	184	6	·	·	PUNCT
ejpam-5604	184	7	·	·	SYM
ejpam-5604	184	8	xrkk	xrkk	PROPN
ejpam-5604	184	9	p(x1	p(x1	PROPN
ejpam-5604	184	10	,	,	PUNCT
ejpam-5604	184	11	x2	x2	PROPN
ejpam-5604	184	12	,	,	PUNCT
ejpam-5604	184	13	.	.	PUNCT
ejpam-5604	184	14	.	.	PUNCT
ejpam-5604	184	15	.	.	PUNCT
ejpam-5604	184	16	,	,	PUNCT
ejpam-5604	184	17	xk	xk	PROPN
ejpam-5604	184	18	)	)	PUNCT
ejpam-5604	184	19	(	(	PUNCT
ejpam-5604	184	20	22	22	NUM
ejpam-5604	184	21	)	)	PUNCT
ejpam-5604	184	22	=	=	NOUN
ejpam-5604	185	1	∞∑	∞∑	NUM
ejpam-5604	185	2	x1=1	x1=1	PUNCT
ejpam-5604	186	1	∞∑	∞∑	NUM
ejpam-5604	186	2	x2=1	x2=1	PROPN
ejpam-5604	186	3	·	·	PUNCT
ejpam-5604	186	4	·	·	PUNCT
ejpam-5604	186	5	·	·	PUNCT
ejpam-5604	187	1	∞∑	∞∑	NUM
ejpam-5604	187	2	xk=1	xk=1	PROPN
ejpam-5604	187	3	xr11	xr11	PROPN
ejpam-5604	187	4	xr22	xr22	PROPN
ejpam-5604	187	5	·	·	PUNCT
ejpam-5604	187	6	·	·	PUNCT
ejpam-5604	187	7	·	·	SYM
ejpam-5604	187	8	xrkk	xrkk	PROPN
ejpam-5604	187	9	p(x1	p(x1	PROPN
ejpam-5604	187	10	,	,	PUNCT
ejpam-5604	187	11	x2	x2	PROPN
ejpam-5604	187	12	,	,	PUNCT
ejpam-5604	187	13	.	.	PUNCT
ejpam-5604	187	14	.	.	PUNCT
ejpam-5604	187	15	.	.	PUNCT
ejpam-5604	188	1	,	,	PUNCT
ejpam-5604	188	2	xk	xk	X
ejpam-5604	188	3	)	)	PUNCT
ejpam-5604	188	4	=	=	PUNCT
ejpam-5604	189	1	∞∑	∞∑	NUM
ejpam-5604	189	2	x1=0	x1=0	PROPN
ejpam-5604	190	1	∞∑	∞∑	NUM
ejpam-5604	190	2	x2=0	x2=0	PUNCT
ejpam-5604	190	3	·	·	PUNCT
ejpam-5604	190	4	·	·	PUNCT
ejpam-5604	190	5	·	·	PUNCT
ejpam-5604	191	1	∞∑	∞∑	NUM
ejpam-5604	191	2	xk=0	xk=0	PROPN
ejpam-5604	191	3	(	(	PUNCT
ejpam-5604	191	4	x1	x1	PROPN
ejpam-5604	191	5	+	+	CCONJ
ejpam-5604	191	6	1)r1	1)r1	NUM
ejpam-5604	191	7	·	·	PUNCT
ejpam-5604	191	8	·	·	PUNCT
ejpam-5604	191	9	·	·	PUNCT
ejpam-5604	191	10	(	(	PUNCT
ejpam-5604	191	11	xk	xk	X
ejpam-5604	191	12	+	+	CCONJ
ejpam-5604	191	13	1)rkp(x1	1)rkp(x1	NUM
ejpam-5604	191	14	+	+	NUM
ejpam-5604	191	15	1	1	NUM
ejpam-5604	191	16	,	,	PUNCT
ejpam-5604	191	17	·	·	PUNCT
ejpam-5604	191	18	·	·	PUNCT
ejpam-5604	191	19	·	·	PUNCT
ejpam-5604	191	20	,	,	PUNCT
ejpam-5604	191	21	xk	xk	PROPN
ejpam-5604	191	22	+	+	CCONJ
ejpam-5604	191	23	1	1	X
ejpam-5604	191	24	)	)	PUNCT
ejpam-5604	191	25	=	=	NOUN
ejpam-5604	191	26	∞∑	∞∑	NUM
ejpam-5604	191	27	x1=0	x1=0	PROPN
ejpam-5604	192	1	∞∑	∞∑	NUM
ejpam-5604	192	2	x2=0	x2=0	PUNCT
ejpam-5604	192	3	·	·	PUNCT
ejpam-5604	192	4	·	·	PUNCT
ejpam-5604	192	5	·	·	PUNCT
ejpam-5604	193	1	∞∑	∞∑	NUM
ejpam-5604	193	2	xr=0	xr=0	PRON
ejpam-5604	193	3	x1∑	x1∑	PROPN
ejpam-5604	194	1	i1=0	i1=0	PROPN
ejpam-5604	194	2	(	(	PUNCT
ejpam-5604	194	3	(	(	PUNCT
ejpam-5604	194	4	i1	i1	PROPN
ejpam-5604	194	5	+	+	CCONJ
ejpam-5604	194	6	1)r1	1)r1	NUM
ejpam-5604	194	7	−	−	ADP
ejpam-5604	194	8	ir11	ir11	PROPN
ejpam-5604	194	9	)	)	PUNCT
ejpam-5604	194	10	·	·	PUNCT
ejpam-5604	194	11	·	·	PUNCT
ejpam-5604	194	12	·	·	PUNCT
ejpam-5604	194	13	xk∑	xk∑	PROPN
ejpam-5604	194	14	ik=0	ik=0	PROPN
ejpam-5604	194	15	(	(	PUNCT
ejpam-5604	194	16	(	(	PUNCT
ejpam-5604	194	17	ik	ik	X
ejpam-5604	194	18	+	+	PROPN
ejpam-5604	194	19	1)rk	1)rk	PROPN
ejpam-5604	194	20	−	−	PROPN
ejpam-5604	194	21	irkk	irkk	NOUN
ejpam-5604	194	22	)	)	PUNCT
ejpam-5604	194	23	p(x1	p(x1	NOUN
ejpam-5604	194	24	+	+	NUM
ejpam-5604	194	25	1	1	NUM
ejpam-5604	194	26	,	,	PUNCT
ejpam-5604	194	27	·	·	PUNCT
ejpam-5604	194	28	·	·	PUNCT
ejpam-5604	194	29	·	·	PUNCT
ejpam-5604	194	30	,	,	PUNCT
ejpam-5604	194	31	xk	xk	PROPN
ejpam-5604	195	1	+	+	CCONJ
ejpam-5604	195	2	1	1	X
ejpam-5604	195	3	)	)	PUNCT
ejpam-5604	195	4	=	=	NOUN
ejpam-5604	196	1	∞∑	∞∑	NUM
ejpam-5604	196	2	i1=0	i1=0	ADJ
ejpam-5604	196	3	∞∑	∞∑	PRON
ejpam-5604	196	4	i2=0	i2=0	PROPN
ejpam-5604	196	5	·	·	PUNCT
ejpam-5604	196	6	·	·	PUNCT
ejpam-5604	196	7	·	·	PUNCT
ejpam-5604	197	1	∞∑	∞∑	NUM
ejpam-5604	197	2	ik=0	ik=0	ADJ
ejpam-5604	197	3	k∏	k∏	PROPN
ejpam-5604	197	4	j=1	j=1	NOUN
ejpam-5604	197	5	(	(	PUNCT
ejpam-5604	197	6	(	(	PUNCT
ejpam-5604	197	7	ij	ij	INTJ
ejpam-5604	197	8	+	+	NOUN
ejpam-5604	197	9	1)rj	1)rj	NUM
ejpam-5604	198	1	−	−	NOUN
ejpam-5604	199	1	i	i	PRON
ejpam-5604	199	2	rj	rj	PROPN
ejpam-5604	199	3	j	j	PROPN
ejpam-5604	199	4	)	)	PUNCT
ejpam-5604	200	1	∞∑	∞∑	NUM
ejpam-5604	200	2	x1	x1	PROPN
ejpam-5604	200	3	=	=	PROPN
ejpam-5604	200	4	i1	i1	PROPN
ejpam-5604	200	5	∞∑	∞∑	PROPN
ejpam-5604	200	6	x2	x2	PROPN
ejpam-5604	200	7	=	=	PROPN
ejpam-5604	200	8	i2	i2	PROPN
ejpam-5604	200	9	·	·	PUNCT
ejpam-5604	200	10	·	·	PUNCT
ejpam-5604	200	11	·	·	PUNCT
ejpam-5604	201	1	∞∑	∞∑	NUM
ejpam-5604	201	2	xk	xk	NOUN
ejpam-5604	201	3	=	=	ADJ
ejpam-5604	201	4	ik	ik	X
ejpam-5604	201	5	p(x1	p(x1	NOUN
ejpam-5604	201	6	+	+	CCONJ
ejpam-5604	201	7	1	1	NUM
ejpam-5604	201	8	,	,	PUNCT
ejpam-5604	201	9	x2	x2	PROPN
ejpam-5604	202	1	+	+	CCONJ
ejpam-5604	202	2	1	1	NUM
ejpam-5604	202	3	,	,	PUNCT
ejpam-5604	202	4	·	·	PUNCT
ejpam-5604	202	5	·	·	PUNCT
ejpam-5604	202	6	·	·	PUNCT
ejpam-5604	202	7	,	,	PUNCT
ejpam-5604	202	8	xk	xk	PROPN
ejpam-5604	203	1	+	+	CCONJ
ejpam-5604	203	2	1	1	X
ejpam-5604	203	3	)	)	PUNCT
ejpam-5604	203	4	=	=	NOUN
ejpam-5604	204	1	∞∑	∞∑	NUM
ejpam-5604	204	2	i1=0	i1=0	ADJ
ejpam-5604	204	3	∞∑	∞∑	PRON
ejpam-5604	204	4	i2=0	i2=0	PROPN
ejpam-5604	204	5	·	·	PUNCT
ejpam-5604	204	6	·	·	PUNCT
ejpam-5604	204	7	·	·	PUNCT
ejpam-5604	205	1	∞∑	∞∑	NUM
ejpam-5604	205	2	ik=0	ik=0	ADJ
ejpam-5604	205	3	k∏	k∏	PROPN
ejpam-5604	205	4	j=1	j=1	NOUN
ejpam-5604	205	5	(	(	PUNCT
ejpam-5604	205	6	(	(	PUNCT
ejpam-5604	205	7	ij	ij	INTJ
ejpam-5604	205	8	+	+	NOUN
ejpam-5604	205	9	1)rj	1)rj	NUM
ejpam-5604	206	1	−	−	NOUN
ejpam-5604	207	1	i	i	PRON
ejpam-5604	207	2	rj	rj	PROPN
ejpam-5604	207	3	j	j	PROPN
ejpam-5604	207	4	)	)	PUNCT
ejpam-5604	207	5	p{x1	p{x1	PROPN
ejpam-5604	207	6	>	>	X
ejpam-5604	207	7	i1	i1	PROPN
ejpam-5604	207	8	,	,	PUNCT
ejpam-5604	207	9	x2	x2	PROPN
ejpam-5604	207	10	>	>	X
ejpam-5604	207	11	i2	i2	PROPN
ejpam-5604	207	12	,	,	PUNCT
ejpam-5604	207	13	.	.	PUNCT
ejpam-5604	207	14	.	.	PUNCT
ejpam-5604	207	15	.	.	PUNCT
ejpam-5604	208	1	,	,	PUNCT
ejpam-5604	208	2	xk	xk	PROPN
ejpam-5604	208	3	>	>	X
ejpam-5604	208	4	ik	ik	PROPN
ejpam-5604	208	5	}	}	PUNCT
ejpam-5604	208	6	=	=	SYM
ejpam-5604	208	7	∞∑	∞∑	NUM
ejpam-5604	208	8	i1=0	i1=0	ADJ
ejpam-5604	208	9	∞∑	∞∑	PRON
ejpam-5604	208	10	i2=0	i2=0	PROPN
ejpam-5604	208	11	·	·	PUNCT
ejpam-5604	208	12	·	·	PUNCT
ejpam-5604	208	13	·	·	PUNCT
ejpam-5604	209	1	∞∑	∞∑	NUM
ejpam-5604	209	2	ik=0	ik=0	ADJ
ejpam-5604	209	3	k∏	k∏	PROPN
ejpam-5604	209	4	j=1	j=1	NOUN
ejpam-5604	209	5	(	(	PUNCT
ejpam-5604	209	6	(	(	PUNCT
ejpam-5604	209	7	ij	ij	INTJ
ejpam-5604	209	8	+	+	NOUN
ejpam-5604	209	9	1)rj	1)rj	NUM
ejpam-5604	210	1	−	−	NOUN
ejpam-5604	211	1	i	i	PRON
ejpam-5604	211	2	rj	rj	PROPN
ejpam-5604	211	3	j	j	PROPN
ejpam-5604	211	4	)	)	PUNCT
ejpam-5604	211	5	t	t	PROPN
ejpam-5604	211	6	(	(	PUNCT
ejpam-5604	211	7	i1	i1	PROPN
ejpam-5604	211	8	,	,	PUNCT
ejpam-5604	211	9	i2	i2	PROPN
ejpam-5604	211	10	,	,	PUNCT
ejpam-5604	211	11	.	.	PUNCT
ejpam-5604	211	12	.	.	PUNCT
ejpam-5604	211	13	.	.	PUNCT
ejpam-5604	212	1	,	,	PUNCT
ejpam-5604	212	2	ik	ik	PROPN
ejpam-5604	212	3	)	)	PUNCT
ejpam-5604	213	1	=	=	PROPN
ejpam-5604	214	1	∞∑	∞∑	NUM
ejpam-5604	214	2	x1=0	x1=0	PROPN
ejpam-5604	215	1	∞∑	∞∑	NUM
ejpam-5604	215	2	x2=0	x2=0	PUNCT
ejpam-5604	215	3	·	·	PUNCT
ejpam-5604	215	4	·	·	PUNCT
ejpam-5604	215	5	·	·	PUNCT
ejpam-5604	216	1	∞∑	∞∑	NUM
ejpam-5604	216	2	xk=0	xk=0	PUNCT
ejpam-5604	216	3	k∏	k∏	PROPN
ejpam-5604	216	4	j=1	j=1	NOUN
ejpam-5604	216	5	(	(	PUNCT
ejpam-5604	216	6	(	(	PUNCT
ejpam-5604	216	7	xj	xj	PROPN
ejpam-5604	216	8	+	+	PROPN
ejpam-5604	216	9	1)rj	1)rj	NUM
ejpam-5604	216	10	−	−	NOUN
ejpam-5604	217	1	x	x	SYM
ejpam-5604	217	2	rj	rj	PROPN
ejpam-5604	217	3	j	j	PROPN
ejpam-5604	217	4	)	)	PUNCT
ejpam-5604	217	5	t	t	PROPN
ejpam-5604	217	6	(	(	PUNCT
ejpam-5604	217	7	x1	x1	PROPN
ejpam-5604	217	8	,	,	PUNCT
ejpam-5604	217	9	x2	x2	PROPN
ejpam-5604	217	10	,	,	PUNCT
ejpam-5604	217	11	.	.	PUNCT
ejpam-5604	217	12	.	.	PUNCT
ejpam-5604	217	13	.	.	PUNCT
ejpam-5604	218	1	,	,	PUNCT
ejpam-5604	218	2	xk	xk	PROPN
ejpam-5604	218	3	)	)	PUNCT
ejpam-5604	218	4	.	.	PUNCT
ejpam-5604	219	1	therefore	therefore	ADV
ejpam-5604	219	2	,	,	PUNCT
ejpam-5604	219	3	by	by	ADP
ejpam-5604	219	4	(	(	PUNCT
ejpam-5604	219	5	22	22	NUM
ejpam-5604	219	6	)	)	PUNCT
ejpam-5604	219	7	,	,	PUNCT
ejpam-5604	219	8	we	we	PRON
ejpam-5604	219	9	obtain	obtain	VERB
ejpam-5604	219	10	the	the	DET
ejpam-5604	219	11	following	follow	VERB
ejpam-5604	219	12	theorem	theorem	VERB
ejpam-5604	219	13	.	.	PUNCT
ejpam-5604	219	14	theorem	theorem	NOUN
ejpam-5604	219	15	5	5	NUM
ejpam-5604	219	16	.	.	PUNCT
ejpam-5604	220	1	let	let	VERB
ejpam-5604	220	2	r1	r1	NOUN
ejpam-5604	220	3	,	,	PUNCT
ejpam-5604	220	4	r2	r2	PROPN
ejpam-5604	220	5	,	,	PUNCT
ejpam-5604	220	6	·	·	PUNCT
ejpam-5604	220	7	·	·	PUNCT
ejpam-5604	220	8	·	·	PUNCT
ejpam-5604	220	9	,	,	PUNCT
ejpam-5604	220	10	rk	rk	PRON
ejpam-5604	220	11	be	be	AUX
ejpam-5604	220	12	positive	positive	ADJ
ejpam-5604	220	13	integers	integer	NOUN
ejpam-5604	220	14	,	,	PUNCT
ejpam-5604	220	15	and	and	CCONJ
ejpam-5604	220	16	let	let	VERB
ejpam-5604	220	17	x1	x1	NUM
ejpam-5604	220	18	,	,	PUNCT
ejpam-5604	220	19	x2	x2	PROPN
ejpam-5604	220	20	,	,	PUNCT
ejpam-5604	220	21	.	.	PUNCT
ejpam-5604	220	22	.	.	PUNCT
ejpam-5604	221	1	.	.	PUNCT
ejpam-5604	222	1	,	,	PUNCT
ejpam-5604	222	2	xk	xk	PROPN
ejpam-5604	222	3	be	be	AUX
ejpam-5604	222	4	discrete	discrete	ADV
ejpam-5604	222	5	nonnegative	nonnegative	ADJ
ejpam-5604	222	6	integer	integer	NOUN
ejpam-5604	222	7	-	-	PUNCT
ejpam-5604	222	8	valued	value	VERB
ejpam-5604	222	9	random	random	ADJ
ejpam-5604	222	10	variables	variable	NOUN
ejpam-5604	222	11	.	.	PUNCT
ejpam-5604	223	1	then	then	ADV
ejpam-5604	223	2	the	the	DET
ejpam-5604	223	3	expectation	expectation	NOUN
ejpam-5604	223	4	of	of	ADP
ejpam-5604	223	5	the	the	DET
ejpam-5604	223	6	monomial	monomial	ADJ
ejpam-5604	223	7	xr1	xr1	PROPN
ejpam-5604	223	8	1	1	NUM
ejpam-5604	223	9	xr2	xr2	NOUN
ejpam-5604	223	10	2	2	NUM
ejpam-5604	223	11	·	·	PUNCT
ejpam-5604	223	12	·	·	PUNCT
ejpam-5604	223	13	·	·	PUNCT
ejpam-5604	223	14	xrk	xrk	X
ejpam-5604	224	1	k	k	X
ejpam-5604	224	2	is	be	AUX
ejpam-5604	224	3	given	give	VERB
ejpam-5604	224	4	by	by	ADP
ejpam-5604	224	5	e	e	PROPN
ejpam-5604	224	6	[	[	PUNCT
ejpam-5604	224	7	xr1	xr1	PROPN
ejpam-5604	224	8	1	1	NUM
ejpam-5604	224	9	xr2	xr2	NOUN
ejpam-5604	224	10	2	2	NUM
ejpam-5604	224	11	·	·	PUNCT
ejpam-5604	224	12	·	·	PUNCT
ejpam-5604	224	13	·	·	PUNCT
ejpam-5604	224	14	xrk	xrk	X
ejpam-5604	225	1	k	k	X
ejpam-5604	225	2	]	]	PUNCT
ejpam-5604	226	1	=	=	PUNCT
ejpam-5604	226	2	∞∑	∞∑	NUM
ejpam-5604	226	3	x1=0	x1=0	PROPN
ejpam-5604	227	1	∞∑	∞∑	NUM
ejpam-5604	227	2	x2=0	x2=0	PUNCT
ejpam-5604	227	3	·	·	PUNCT
ejpam-5604	227	4	·	·	PUNCT
ejpam-5604	227	5	·	·	PUNCT
ejpam-5604	228	1	∞∑	∞∑	NUM
ejpam-5604	228	2	xk=0	xk=0	PUNCT
ejpam-5604	228	3	k∏	k∏	PROPN
ejpam-5604	228	4	j=1	j=1	NOUN
ejpam-5604	228	5	(	(	PUNCT
ejpam-5604	228	6	(	(	PUNCT
ejpam-5604	228	7	xj	xj	PROPN
ejpam-5604	228	8	+	+	PROPN
ejpam-5604	228	9	1)rj	1)rj	NUM
ejpam-5604	228	10	−	−	NOUN
ejpam-5604	229	1	x	x	SYM
ejpam-5604	229	2	rj	rj	PROPN
ejpam-5604	229	3	j	j	PROPN
ejpam-5604	229	4	)	)	PUNCT
ejpam-5604	229	5	t	t	PROPN
ejpam-5604	229	6	(	(	PUNCT
ejpam-5604	229	7	x1	x1	PROPN
ejpam-5604	229	8	,	,	PUNCT
ejpam-5604	229	9	x2	x2	PROPN
ejpam-5604	229	10	,	,	PUNCT
ejpam-5604	229	11	.	.	PUNCT
ejpam-5604	229	12	.	.	PUNCT
ejpam-5604	229	13	.	.	PUNCT
ejpam-5604	230	1	,	,	PUNCT
ejpam-5604	230	2	xk	xk	PROPN
ejpam-5604	230	3	)	)	PUNCT
ejpam-5604	230	4	,	,	PUNCT
ejpam-5604	230	5	where	where	SCONJ
ejpam-5604	230	6	t	t	PROPN
ejpam-5604	230	7	(	(	PUNCT
ejpam-5604	230	8	x1	x1	PROPN
ejpam-5604	230	9	,	,	PUNCT
ejpam-5604	230	10	x2	x2	PROPN
ejpam-5604	230	11	,	,	PUNCT
ejpam-5604	230	12	.	.	PUNCT
ejpam-5604	230	13	.	.	PUNCT
ejpam-5604	230	14	.	.	PUNCT
ejpam-5604	231	1	,	,	PUNCT
ejpam-5604	231	2	xk	xk	PROPN
ejpam-5604	231	3	)	)	PUNCT
ejpam-5604	231	4	=	=	SYM
ejpam-5604	231	5	p{x1	p{x1	PROPN
ejpam-5604	231	6	>	>	PUNCT
ejpam-5604	231	7	x1	x1	PROPN
ejpam-5604	231	8	,	,	PUNCT
ejpam-5604	231	9	x2	x2	PROPN
ejpam-5604	231	10	>	>	X
ejpam-5604	231	11	x2	x2	PROPN
ejpam-5604	231	12	,	,	PUNCT
ejpam-5604	231	13	.	.	PUNCT
ejpam-5604	231	14	.	.	PUNCT
ejpam-5604	231	15	.	.	PUNCT
ejpam-5604	232	1	,	,	PUNCT
ejpam-5604	232	2	xk	xk	PROPN
ejpam-5604	232	3	>	>	X
ejpam-5604	232	4	xk	xk	PROPN
ejpam-5604	232	5	}	}	PUNCT
ejpam-5604	232	6	.	.	PUNCT
ejpam-5604	233	1	references	reference	NOUN
ejpam-5604	233	2	3853	3853	NUM
ejpam-5604	233	3	3	3	NUM
ejpam-5604	233	4	.	.	PUNCT
ejpam-5604	233	5	conclusion	conclusion	NOUN
ejpam-5604	233	6	in	in	ADP
ejpam-5604	233	7	recent	recent	ADJ
ejpam-5604	233	8	years	year	NOUN
ejpam-5604	233	9	,	,	PUNCT
ejpam-5604	233	10	many	many	ADJ
ejpam-5604	233	11	researchers	researcher	NOUN
ejpam-5604	233	12	have	have	AUX
ejpam-5604	233	13	investigated	investigate	VERB
ejpam-5604	233	14	various	various	ADJ
ejpam-5604	233	15	stuffs	stuff	NOUN
ejpam-5604	233	16	from	from	ADP
ejpam-5604	233	17	probabilistic	probabilistic	ADJ
ejpam-5604	233	18	perspectives	perspective	NOUN
ejpam-5604	233	19	and	and	CCONJ
ejpam-5604	233	20	obtained	obtain	VERB
ejpam-5604	233	21	quite	quite	DET
ejpam-5604	233	22	a	a	DET
ejpam-5604	233	23	few	few	ADJ
ejpam-5604	233	24	interesting	interesting	ADJ
ejpam-5604	233	25	results	result	NOUN
ejpam-5604	233	26	(	(	PUNCT
ejpam-5604	233	27	see	see	VERB
ejpam-5604	233	28	[	[	X
ejpam-5604	233	29	1–27	1–27	NUM
ejpam-5604	233	30	]	]	X
ejpam-5604	233	31	and	and	CCONJ
ejpam-5604	233	32	the	the	DET
ejpam-5604	233	33	references	reference	NOUN
ejpam-5604	233	34	therein	therein	ADV
ejpam-5604	233	35	)	)	PUNCT
ejpam-5604	233	36	.	.	PUNCT
ejpam-5604	234	1	let	let	VERB
ejpam-5604	234	2	x	x	PRON
ejpam-5604	234	3	be	be	AUX
ejpam-5604	234	4	a	a	DET
ejpam-5604	234	5	discrete	discrete	ADJ
ejpam-5604	234	6	nonnegative	nonnegative	ADJ
ejpam-5604	234	7	integer	integer	NOUN
ejpam-5604	234	8	-	-	PUNCT
ejpam-5604	234	9	valued	value	VERB
ejpam-5604	234	10	random	random	ADJ
ejpam-5604	234	11	variable	variable	NOUN
ejpam-5604	234	12	.	.	PUNCT
ejpam-5604	235	1	then	then	ADV
ejpam-5604	235	2	we	we	PRON
ejpam-5604	235	3	showed	show	VERB
ejpam-5604	235	4	that	that	SCONJ
ejpam-5604	235	5	the	the	DET
ejpam-5604	235	6	r	r	NOUN
ejpam-5604	235	7	-	-	PUNCT
ejpam-5604	235	8	th	th	ADV
ejpam-5604	235	9	degenerate	degenerate	ADJ
ejpam-5604	235	10	moment	moment	NOUN
ejpam-5604	235	11	of	of	ADP
ejpam-5604	235	12	x	x	PROPN
ejpam-5604	235	13	is	be	AUX
ejpam-5604	235	14	given	give	VERB
ejpam-5604	235	15	by	by	ADP
ejpam-5604	235	16	e	e	PROPN
ejpam-5604	235	17	[	[	PUNCT
ejpam-5604	235	18	(	(	PUNCT
ejpam-5604	235	19	x)r	x)r	NOUN
ejpam-5604	235	20	,	,	PUNCT
ejpam-5604	235	21	λ	λ	X
ejpam-5604	235	22	]	]	PUNCT
ejpam-5604	235	23	=	=	PUNCT
ejpam-5604	236	1	∞∑	∞∑	NUM
ejpam-5604	236	2	i=0	i=0	PROPN
ejpam-5604	236	3	(	(	PUNCT
ejpam-5604	236	4	(	(	PUNCT
ejpam-5604	236	5	i+	i+	NUM
ejpam-5604	236	6	1)r	1)r	NUM
ejpam-5604	236	7	,	,	PUNCT
ejpam-5604	236	8	λ	λ	X
ejpam-5604	236	9	−	−	PROPN
ejpam-5604	236	10	(	(	PUNCT
ejpam-5604	236	11	i)r	i)r	NOUN
ejpam-5604	236	12	,	,	PUNCT
ejpam-5604	236	13	λ	λ	NOUN
ejpam-5604	236	14	)	)	PUNCT
ejpam-5604	236	15	(	(	PUNCT
ejpam-5604	236	16	1−	1−	NUM
ejpam-5604	236	17	fx(i	fx(i	X
ejpam-5604	236	18	)	)	PUNCT
ejpam-5604	236	19	)	)	PUNCT
ejpam-5604	237	1	=	=	PUNCT
ejpam-5604	238	1	∞∑	∞∑	NUM
ejpam-5604	238	2	i=0	i=0	PROPN
ejpam-5604	238	3	r−1∑	r−1∑	NUM
ejpam-5604	238	4	j=0	j=0	PROPN
ejpam-5604	238	5	(	(	PUNCT
ejpam-5604	238	6	r	r	NOUN
ejpam-5604	238	7	j	j	PROPN
ejpam-5604	238	8	+	+	CCONJ
ejpam-5604	238	9	1	1	NUM
ejpam-5604	238	10	)	)	PUNCT
ejpam-5604	238	11	(	(	PUNCT
ejpam-5604	238	12	i)r−1−j	i)r−1−j	NOUN
ejpam-5604	238	13	,	,	PUNCT
ejpam-5604	238	14	λ(1)j+1,λ	λ(1)j+1,λ	PUNCT
ejpam-5604	238	15	(	(	PUNCT
ejpam-5604	238	16	1−	1−	NUM
ejpam-5604	238	17	fx(i	fx(i	X
ejpam-5604	238	18	)	)	PUNCT
ejpam-5604	238	19	)	)	PUNCT
ejpam-5604	238	20	.	.	PUNCT
ejpam-5604	239	1	let	let	VERB
ejpam-5604	239	2	r1	r1	NOUN
ejpam-5604	239	3	,	,	PUNCT
ejpam-5604	239	4	r2	r2	PROPN
ejpam-5604	239	5	,	,	PUNCT
ejpam-5604	239	6	·	·	PUNCT
ejpam-5604	239	7	·	·	PUNCT
ejpam-5604	239	8	·	·	PUNCT
ejpam-5604	239	9	,	,	PUNCT
ejpam-5604	239	10	rk	rk	PRON
ejpam-5604	239	11	be	be	AUX
ejpam-5604	239	12	positive	positive	ADJ
ejpam-5604	239	13	integers	integer	NOUN
ejpam-5604	239	14	,	,	PUNCT
ejpam-5604	239	15	and	and	CCONJ
ejpam-5604	239	16	let	let	VERB
ejpam-5604	239	17	x1	x1	NUM
ejpam-5604	239	18	,	,	PUNCT
ejpam-5604	239	19	x2	x2	PROPN
ejpam-5604	239	20	,	,	PUNCT
ejpam-5604	239	21	.	.	PUNCT
ejpam-5604	239	22	.	.	PUNCT
ejpam-5604	240	1	.	.	PUNCT
ejpam-5604	241	1	,	,	PUNCT
ejpam-5604	241	2	xk	xk	PROPN
ejpam-5604	241	3	be	be	AUX
ejpam-5604	241	4	discrete	discrete	ADV
ejpam-5604	241	5	nonnegative	nonnegative	ADJ
ejpam-5604	241	6	integer	integer	NOUN
ejpam-5604	241	7	-	-	PUNCT
ejpam-5604	241	8	valued	value	VERB
ejpam-5604	241	9	random	random	ADJ
ejpam-5604	241	10	variables	variable	NOUN
ejpam-5604	241	11	.	.	PUNCT
ejpam-5604	242	1	then	then	ADV
ejpam-5604	242	2	we	we	PRON
ejpam-5604	242	3	proved	prove	VERB
ejpam-5604	242	4	that	that	SCONJ
ejpam-5604	242	5	the	the	DET
ejpam-5604	242	6	expectation	expectation	NOUN
ejpam-5604	242	7	of	of	ADP
ejpam-5604	242	8	the	the	DET
ejpam-5604	242	9	monomial	monomial	ADJ
ejpam-5604	242	10	xr1	xr1	PROPN
ejpam-5604	242	11	1	1	NUM
ejpam-5604	242	12	xr2	xr2	NOUN
ejpam-5604	242	13	2	2	NUM
ejpam-5604	242	14	·	·	PUNCT
ejpam-5604	242	15	·	·	PUNCT
ejpam-5604	242	16	·	·	PUNCT
ejpam-5604	242	17	xrk	xrk	PROPN
ejpam-5604	243	1	k	k	X
ejpam-5604	243	2	in	in	ADP
ejpam-5604	243	3	x1	x1	PROPN
ejpam-5604	243	4	,	,	PUNCT
ejpam-5604	243	5	x2	x2	PROPN
ejpam-5604	243	6	,	,	PUNCT
ejpam-5604	243	7	.	.	PUNCT
ejpam-5604	243	8	.	.	PUNCT
ejpam-5604	243	9	.	.	PUNCT
ejpam-5604	244	1	,	,	PUNCT
ejpam-5604	244	2	xk	xk	PROPN
ejpam-5604	244	3	is	be	AUX
ejpam-5604	244	4	given	give	VERB
ejpam-5604	244	5	by	by	ADP
ejpam-5604	244	6	e	e	PROPN
ejpam-5604	244	7	[	[	PUNCT
ejpam-5604	244	8	xr1	xr1	PROPN
ejpam-5604	244	9	1	1	NUM
ejpam-5604	244	10	xr2	xr2	NOUN
ejpam-5604	244	11	2	2	NUM
ejpam-5604	244	12	·	·	PUNCT
ejpam-5604	244	13	·	·	PUNCT
ejpam-5604	244	14	·	·	PUNCT
ejpam-5604	244	15	xrk	xrk	X
ejpam-5604	245	1	k	k	X
ejpam-5604	245	2	]	]	PUNCT
ejpam-5604	246	1	=	=	PUNCT
ejpam-5604	246	2	∞∑	∞∑	NUM
ejpam-5604	246	3	x1=0	x1=0	PROPN
ejpam-5604	247	1	∞∑	∞∑	NUM
ejpam-5604	247	2	x2=0	x2=0	PUNCT
ejpam-5604	247	3	·	·	PUNCT
ejpam-5604	247	4	·	·	PUNCT
ejpam-5604	247	5	·	·	PUNCT
ejpam-5604	248	1	∞∑	∞∑	NUM
ejpam-5604	248	2	xk=0	xk=0	PUNCT
ejpam-5604	248	3	k∏	k∏	PROPN
ejpam-5604	248	4	j=1	j=1	NOUN
ejpam-5604	248	5	(	(	PUNCT
ejpam-5604	248	6	(	(	PUNCT
ejpam-5604	248	7	xj	xj	PROPN
ejpam-5604	248	8	+	+	PROPN
ejpam-5604	248	9	1)rj	1)rj	NUM
ejpam-5604	248	10	−	−	NOUN
ejpam-5604	249	1	x	x	SYM
ejpam-5604	249	2	rj	rj	PROPN
ejpam-5604	249	3	j	j	PROPN
ejpam-5604	249	4	)	)	PUNCT
ejpam-5604	249	5	t	t	PROPN
ejpam-5604	249	6	(	(	PUNCT
ejpam-5604	249	7	x1	x1	PROPN
ejpam-5604	249	8	,	,	PUNCT
ejpam-5604	249	9	x2	x2	PROPN
ejpam-5604	249	10	,	,	PUNCT
ejpam-5604	249	11	.	.	PUNCT
ejpam-5604	249	12	.	.	PUNCT
ejpam-5604	249	13	.	.	PUNCT
ejpam-5604	250	1	,	,	PUNCT
ejpam-5604	250	2	xk	xk	PROPN
ejpam-5604	250	3	)	)	PUNCT
ejpam-5604	250	4	,	,	PUNCT
ejpam-5604	250	5	where	where	SCONJ
ejpam-5604	250	6	t	t	PROPN
ejpam-5604	250	7	(	(	PUNCT
ejpam-5604	250	8	x1	x1	PROPN
ejpam-5604	250	9	,	,	PUNCT
ejpam-5604	250	10	x2	x2	PROPN
ejpam-5604	250	11	,	,	PUNCT
ejpam-5604	250	12	.	.	PUNCT
ejpam-5604	250	13	.	.	PUNCT
ejpam-5604	250	14	.	.	PUNCT
ejpam-5604	251	1	,	,	PUNCT
ejpam-5604	251	2	xk	xk	PROPN
ejpam-5604	251	3	)	)	PUNCT
ejpam-5604	251	4	=	=	SYM
ejpam-5604	251	5	p{x1	p{x1	PROPN
ejpam-5604	251	6	>	>	PUNCT
ejpam-5604	251	7	x1	x1	PROPN
ejpam-5604	251	8	,	,	PUNCT
ejpam-5604	251	9	x2	x2	PROPN
ejpam-5604	251	10	>	>	X
ejpam-5604	251	11	x2	x2	PROPN
ejpam-5604	251	12	,	,	PUNCT
ejpam-5604	251	13	.	.	PUNCT
ejpam-5604	251	14	.	.	PUNCT
ejpam-5604	251	15	.	.	PUNCT
ejpam-5604	252	1	,	,	PUNCT
ejpam-5604	252	2	xk	xk	PROPN
ejpam-5604	252	3	>	>	X
ejpam-5604	252	4	xk	xk	PROPN
ejpam-5604	252	5	}	}	PUNCT
ejpam-5604	252	6	.	.	PUNCT
ejpam-5604	253	1	indeed	indeed	ADV
ejpam-5604	253	2	,	,	PUNCT
ejpam-5604	253	3	we	we	PRON
ejpam-5604	253	4	derived	derive	VERB
ejpam-5604	253	5	this	this	PRON
ejpam-5604	253	6	first	first	ADJ
ejpam-5604	253	7	for	for	ADP
ejpam-5604	253	8	k	k	PROPN
ejpam-5604	253	9	=	=	SYM
ejpam-5604	253	10	2	2	NUM
ejpam-5604	253	11	and	and	CCONJ
ejpam-5604	253	12	r1	r1	NOUN
ejpam-5604	253	13	=	=	SYM
ejpam-5604	253	14	1	1	NUM
ejpam-5604	253	15	,	,	PUNCT
ejpam-5604	253	16	r2	r2	PROPN
ejpam-5604	253	17	=	=	SYM
ejpam-5604	253	18	1	1	NUM
ejpam-5604	253	19	,	,	PUNCT
ejpam-5604	253	20	then	then	ADV
ejpam-5604	253	21	for	for	ADP
ejpam-5604	253	22	k	k	PROPN
ejpam-5604	253	23	=	=	SYM
ejpam-5604	253	24	2	2	NUM
ejpam-5604	253	25	with	with	ADP
ejpam-5604	253	26	r1	r1	PROPN
ejpam-5604	253	27	,	,	PUNCT
ejpam-5604	253	28	r2	r2	PROPN
ejpam-5604	253	29	any	any	DET
ejpam-5604	253	30	positive	positive	ADJ
ejpam-5604	253	31	integers	integer	NOUN
ejpam-5604	253	32	,	,	PUNCT
ejpam-5604	253	33	and	and	CCONJ
ejpam-5604	253	34	finally	finally	ADV
ejpam-5604	253	35	for	for	ADP
ejpam-5604	253	36	the	the	DET
ejpam-5604	253	37	general	general	ADJ
ejpam-5604	253	38	case	case	NOUN
ejpam-5604	253	39	of	of	ADP
ejpam-5604	253	40	any	any	DET
ejpam-5604	253	41	k	k	NOUN
ejpam-5604	253	42	and	and	CCONJ
ejpam-5604	253	43	any	any	DET
ejpam-5604	253	44	r1	r1	NOUN
ejpam-5604	253	45	,	,	PUNCT
ejpam-5604	253	46	r2	r2	PROPN
ejpam-5604	253	47	,	,	PUNCT
ejpam-5604	253	48	·	·	PUNCT
ejpam-5604	253	49	·	·	PUNCT
ejpam-5604	253	50	·	·	PUNCT
ejpam-5604	253	51	,	,	PUNCT
ejpam-5604	253	52	rk	rk	VERB
ejpam-5604	253	53	.	.	PUNCT
ejpam-5604	254	1	certain	certain	ADJ
ejpam-5604	254	2	interesting	interesting	ADJ
ejpam-5604	254	3	applications	application	NOUN
ejpam-5604	254	4	of	of	ADP
ejpam-5604	254	5	these	these	DET
ejpam-5604	254	6	results	result	NOUN
ejpam-5604	254	7	will	will	AUX
ejpam-5604	254	8	be	be	AUX
ejpam-5604	254	9	treated	treat	VERB
ejpam-5604	254	10	in	in	ADP
ejpam-5604	254	11	a	a	DET
ejpam-5604	254	12	forthcoming	forthcoming	ADJ
ejpam-5604	254	13	paper	paper	NOUN
ejpam-5604	254	14	.	.	PUNCT
ejpam-5604	255	1	references	reference	NOUN
ejpam-5604	255	2	[	[	X
ejpam-5604	255	3	1	1	X
ejpam-5604	255	4	]	]	PUNCT
ejpam-5604	255	5	j.	j.	PROPN
ejpam-5604	255	6	a.	a.	PROPN
ejpam-5604	255	7	adell	adell	PROPN
ejpam-5604	255	8	and	and	CCONJ
ejpam-5604	255	9	alberto	alberto	PROPN
ejpam-5604	255	10	lekuona	lekuona	PROPN
ejpam-5604	255	11	.	.	PUNCT
ejpam-5604	256	1	explicit	explicit	ADJ
ejpam-5604	256	2	expressions	expression	NOUN
ejpam-5604	256	3	for	for	ADP
ejpam-5604	256	4	a	a	DET
ejpam-5604	256	5	certain	certain	ADJ
ejpam-5604	256	6	subset	subset	NOUN
ejpam-5604	256	7	of	of	ADP
ejpam-5604	256	8	appell	appell	PROPN
ejpam-5604	256	9	polynomials	polynomial	NOUN
ejpam-5604	256	10	:	:	PUNCT
ejpam-5604	256	11	a	a	DET
ejpam-5604	256	12	probabilistic	probabilistic	ADJ
ejpam-5604	256	13	perspective	perspective	NOUN
ejpam-5604	256	14	.	.	PUNCT
ejpam-5604	257	1	integers	integer	NOUN
ejpam-5604	257	2	,	,	PUNCT
ejpam-5604	257	3	21	21	NUM
ejpam-5604	257	4	:	:	PUNCT
ejpam-5604	257	5	paper	paper	NOUN
ejpam-5604	257	6	no	no	PROPN
ejpam-5604	257	7	.	.	PUNCT
ejpam-5604	258	1	a60	a60	PROPN
ejpam-5604	258	2	,	,	PUNCT
ejpam-5604	258	3	10	10	NUM
ejpam-5604	258	4	pp	pp	NOUN
ejpam-5604	258	5	.	.	PUNCT
ejpam-5604	258	6	,	,	PUNCT
ejpam-5604	258	7	2021	2021	NUM
ejpam-5604	258	8	.	.	PUNCT
ejpam-5604	259	1	[	[	X
ejpam-5604	259	2	2	2	NUM
ejpam-5604	259	3	]	]	PUNCT
ejpam-5604	259	4	k.	k.	PROPN
ejpam-5604	259	5	t.	t.	PROPN
ejpam-5604	259	6	atanassov	atanassov	PROPN
ejpam-5604	259	7	and	and	CCONJ
ejpam-5604	259	8	b.	b.	PROPN
ejpam-5604	259	9	i.	i.	PROPN
ejpam-5604	259	10	kolev	kolev	PROPN
ejpam-5604	259	11	.	.	PUNCT
ejpam-5604	260	1	on	on	ADP
ejpam-5604	260	2	an	an	DET
ejpam-5604	260	3	intuitionistic	intuitionistic	ADJ
ejpam-5604	260	4	fuzzy	fuzzy	ADJ
ejpam-5604	260	5	implication	implication	NOUN
ejpam-5604	260	6	from	from	ADP
ejpam-5604	260	7	a	a	DET
ejpam-5604	260	8	probabilistic	probabilistic	ADJ
ejpam-5604	260	9	type	type	NOUN
ejpam-5604	260	10	.	.	PUNCT
ejpam-5604	261	1	adv	adv	PROPN
ejpam-5604	261	2	.	.	PUNCT
ejpam-5604	261	3	stud	stud	PROPN
ejpam-5604	261	4	.	.	PUNCT
ejpam-5604	262	1	contemp	contemp	NOUN
ejpam-5604	262	2	.	.	PUNCT
ejpam-5604	263	1	math	math	NOUN
ejpam-5604	263	2	.	.	PUNCT
ejpam-5604	264	1	(	(	PUNCT
ejpam-5604	264	2	kyungshang	kyungshang	PROPN
ejpam-5604	264	3	)	)	PUNCT
ejpam-5604	264	4	,	,	PUNCT
ejpam-5604	264	5	12(1):111–116	12(1):111–116	PROPN
ejpam-5604	264	6	,	,	PUNCT
ejpam-5604	264	7	2006	2006	NUM
ejpam-5604	264	8	.	.	PUNCT
ejpam-5604	265	1	[	[	X
ejpam-5604	265	2	3	3	X
ejpam-5604	265	3	]	]	PUNCT
ejpam-5604	265	4	v.	v.	PROPN
ejpam-5604	265	5	e.	e.	PROPN
ejpam-5604	265	6	bening	bening	PROPN
ejpam-5604	265	7	.	.	PUNCT
ejpam-5604	266	1	on	on	ADP
ejpam-5604	266	2	the	the	DET
ejpam-5604	266	3	asymptotic	asymptotic	ADJ
ejpam-5604	266	4	deficiency	deficiency	NOUN
ejpam-5604	266	5	of	of	ADP
ejpam-5604	266	6	some	some	DET
ejpam-5604	266	7	statistical	statistical	ADJ
ejpam-5604	266	8	estimators	estimator	NOUN
ejpam-5604	266	9	based	base	VERB
ejpam-5604	266	10	on	on	ADP
ejpam-5604	266	11	samples	sample	NOUN
ejpam-5604	266	12	with	with	ADP
ejpam-5604	266	13	random	random	ADJ
ejpam-5604	266	14	size	size	NOUN
ejpam-5604	266	15	.	.	PUNCT
ejpam-5604	267	1	proc	proc	NOUN
ejpam-5604	267	2	.	.	PUNCT
ejpam-5604	268	1	jangjeon	jangjeon	PROPN
ejpam-5604	268	2	math	math	PROPN
ejpam-5604	268	3	.	.	PUNCT
ejpam-5604	269	1	soc	soc	PROPN
ejpam-5604	269	2	.	.	PUNCT
ejpam-5604	269	3	,	,	PUNCT
ejpam-5604	269	4	21(2):185–193	21(2):185–193	PROPN
ejpam-5604	269	5	,	,	PUNCT
ejpam-5604	269	6	2018	2018	NUM
ejpam-5604	269	7	.	.	PUNCT
ejpam-5604	270	1	[	[	X
ejpam-5604	270	2	4	4	X
ejpam-5604	270	3	]	]	PUNCT
ejpam-5604	270	4	s.	s.	PROPN
ejpam-5604	270	5	chakraborti	chakraborti	PROPN
ejpam-5604	270	6	,	,	PUNCT
ejpam-5604	270	7	f.	f.	PROPN
ejpam-5604	270	8	jardim	jardim	PROPN
ejpam-5604	270	9	,	,	PUNCT
ejpam-5604	270	10	and	and	CCONJ
ejpam-5604	270	11	e.	e.	PROPN
ejpam-5604	270	12	epprecht	epprecht	PROPN
ejpam-5604	270	13	.	.	PUNCT
ejpam-5604	271	1	higher	high	ADJ
ejpam-5604	271	2	-	-	PUNCT
ejpam-5604	271	3	order	order	NOUN
ejpam-5604	271	4	moments	moment	NOUN
ejpam-5604	271	5	using	use	VERB
ejpam-5604	271	6	the	the	DET
ejpam-5604	271	7	survival	survival	NOUN
ejpam-5604	271	8	function	function	NOUN
ejpam-5604	271	9	:	:	PUNCT
ejpam-5604	271	10	the	the	DET
ejpam-5604	271	11	alternative	alternative	ADJ
ejpam-5604	271	12	expectation	expectation	NOUN
ejpam-5604	271	13	formula	formula	NOUN
ejpam-5604	271	14	.	.	PUNCT
ejpam-5604	272	1	amer	amer	PROPN
ejpam-5604	272	2	.	.	PUNCT
ejpam-5604	272	3	statist	statist	PROPN
ejpam-5604	272	4	.	.	PUNCT
ejpam-5604	272	5	,	,	PUNCT
ejpam-5604	273	1	73(2):191–194	73(2):191–194	PROPN
ejpam-5604	273	2	,	,	PUNCT
ejpam-5604	273	3	2019	2019	NUM
ejpam-5604	273	4	.	.	PUNCT
ejpam-5604	274	1	[	[	X
ejpam-5604	274	2	5	5	X
ejpam-5604	274	3	]	]	PUNCT
ejpam-5604	274	4	l.	l.	PROPN
ejpam-5604	274	5	chen	chen	PROPN
ejpam-5604	274	6	,	,	PUNCT
ejpam-5604	274	7	t.	t.	PROPN
ejpam-5604	274	8	kim	kim	PROPN
ejpam-5604	274	9	,	,	PUNCT
ejpam-5604	274	10	d.	d.	PROPN
ejpam-5604	274	11	s.	s.	PROPN
ejpam-5604	274	12	kim	kim	PROPN
ejpam-5604	274	13	,	,	PUNCT
ejpam-5604	274	14	h.	h.	PROPN
ejpam-5604	274	15	lee	lee	PROPN
ejpam-5604	274	16	,	,	PUNCT
ejpam-5604	274	17	and	and	CCONJ
ejpam-5604	274	18	s.-h	s.-h	NOUN
ejpam-5604	274	19	.	.	PUNCT
ejpam-5604	275	1	lee	lee	PROPN
ejpam-5604	275	2	.	.	PROPN
ejpam-5604	276	1	probabilistic	probabilistic	ADJ
ejpam-5604	276	2	degenerate	degenerate	ADJ
ejpam-5604	276	3	central	central	ADJ
ejpam-5604	276	4	bell	bell	NOUN
ejpam-5604	276	5	polynomials	polynomial	NOUN
ejpam-5604	276	6	.	.	PUNCT
ejpam-5604	277	1	math	math	NOUN
ejpam-5604	277	2	.	.	PUNCT
ejpam-5604	278	1	comput	comput	NOUN
ejpam-5604	278	2	.	.	PUNCT
ejpam-5604	279	1	model	model	PROPN
ejpam-5604	279	2	.	.	PUNCT
ejpam-5604	280	1	dyn	dyn	PROPN
ejpam-5604	280	2	.	.	PUNCT
ejpam-5604	281	1	syst	syst	PROPN
ejpam-5604	281	2	.	.	PROPN
ejpam-5604	281	3	,	,	PUNCT
ejpam-5604	281	4	30(1):523–542	30(1):523–542	PROPN
ejpam-5604	281	5	,	,	PUNCT
ejpam-5604	281	6	2024	2024	NUM
ejpam-5604	281	7	.	.	PUNCT
ejpam-5604	282	1	[	[	X
ejpam-5604	282	2	6	6	NUM
ejpam-5604	282	3	]	]	PUNCT
ejpam-5604	282	4	d.	d.	PROPN
ejpam-5604	282	5	s.	s.	PROPN
ejpam-5604	282	6	kim	kim	PROPN
ejpam-5604	282	7	,	,	PUNCT
ejpam-5604	282	8	h.	h.	PROPN
ejpam-5604	282	9	k.	k.	PROPN
ejpam-5604	282	10	kim	kim	PROPN
ejpam-5604	282	11	,	,	PUNCT
ejpam-5604	282	12	and	and	CCONJ
ejpam-5604	282	13	t.	t.	PROPN
ejpam-5604	282	14	kim	kim	PROPN
ejpam-5604	282	15	.	.	PUNCT
ejpam-5604	283	1	new	new	ADJ
ejpam-5604	283	2	approach	approach	NOUN
ejpam-5604	283	3	to	to	ADP
ejpam-5604	283	4	λ	λ	NOUN
ejpam-5604	283	5	-	-	ADJ
ejpam-5604	283	6	stirling	stirling	NOUN
ejpam-5604	283	7	numbers	number	NOUN
ejpam-5604	283	8	.	.	PUNCT
ejpam-5604	284	1	aims	aim	VERB
ejpam-5604	284	2	math	math	NOUN
ejpam-5604	284	3	.	.	PUNCT
ejpam-5604	284	4	,	,	PUNCT
ejpam-5604	284	5	8(12):28322–28333	8(12):28322–28333	NUM
ejpam-5604	284	6	,	,	PUNCT
ejpam-5604	284	7	2023	2023	NUM
ejpam-5604	284	8	.	.	PUNCT
ejpam-5604	285	1	references	reference	NOUN
ejpam-5604	285	2	3854	3854	NUM
ejpam-5604	285	3	[	[	X
ejpam-5604	285	4	7	7	X
ejpam-5604	285	5	]	]	X
ejpam-5604	285	6	d.	d.	PROPN
ejpam-5604	285	7	s.	s.	PROPN
ejpam-5604	285	8	kim	kim	PROPN
ejpam-5604	285	9	and	and	CCONJ
ejpam-5604	285	10	t.	t.	PROPN
ejpam-5604	285	11	kim	kim	PROPN
ejpam-5604	285	12	.	.	PUNCT
ejpam-5604	286	1	central	central	ADJ
ejpam-5604	286	2	factorial	factorial	ADJ
ejpam-5604	286	3	numbers	number	NOUN
ejpam-5604	286	4	associated	associate	VERB
ejpam-5604	286	5	with	with	ADP
ejpam-5604	286	6	sequences	sequence	NOUN
ejpam-5604	286	7	of	of	ADP
ejpam-5604	286	8	polynomials	polynomial	NOUN
ejpam-5604	286	9	.	.	PUNCT
ejpam-5604	287	1	math	math	NOUN
ejpam-5604	287	2	.	.	PUNCT
ejpam-5604	288	1	methods	method	NOUN
ejpam-5604	288	2	appl	appl	PROPN
ejpam-5604	288	3	.	.	PUNCT
ejpam-5604	289	1	sci	sci	PROPN
ejpam-5604	289	2	.	.	PROPN
ejpam-5604	289	3	,	,	PUNCT
ejpam-5604	289	4	46(9):10348–10383	46(9):10348–10383	NUM
ejpam-5604	289	5	,	,	PUNCT
ejpam-5604	289	6	2023	2023	NUM
ejpam-5604	289	7	.	.	PUNCT
ejpam-5604	290	1	[	[	X
ejpam-5604	290	2	8	8	NUM
ejpam-5604	290	3	]	]	PUNCT
ejpam-5604	290	4	t.	t.	PROPN
ejpam-5604	290	5	kim	kim	PROPN
ejpam-5604	290	6	and	and	CCONJ
ejpam-5604	290	7	d.	d.	PROPN
ejpam-5604	290	8	s.	s.	PROPN
ejpam-5604	290	9	kim	kim	PROPN
ejpam-5604	290	10	.	.	PUNCT
ejpam-5604	290	11	probabilistic	probabilistic	ADJ
ejpam-5604	290	12	degenerate	degenerate	ADJ
ejpam-5604	290	13	bell	bell	NOUN
ejpam-5604	290	14	polynomials	polynomial	NOUN
ejpam-5604	290	15	associated	associate	VERB
ejpam-5604	290	16	with	with	ADP
ejpam-5604	290	17	random	random	ADJ
ejpam-5604	290	18	variables	variable	NOUN
ejpam-5604	290	19	.	.	PUNCT
ejpam-5604	291	1	russ	russ	PROPN
ejpam-5604	291	2	.	.	PUNCT
ejpam-5604	292	1	j.	j.	PROPN
ejpam-5604	292	2	math	math	PROPN
ejpam-5604	292	3	.	.	PUNCT
ejpam-5604	293	1	phys	phy	NOUN
ejpam-5604	293	2	.	.	PUNCT
ejpam-5604	293	3	,	,	PUNCT
ejpam-5604	293	4	30(4):528–542	30(4):528–542	NUM
ejpam-5604	293	5	,	,	PUNCT
ejpam-5604	293	6	2023	2023	NUM
ejpam-5604	293	7	.	.	PUNCT
ejpam-5604	294	1	[	[	X
ejpam-5604	294	2	9	9	NUM
ejpam-5604	294	3	]	]	PUNCT
ejpam-5604	294	4	t.	t.	PROPN
ejpam-5604	294	5	kim	kim	PROPN
ejpam-5604	294	6	and	and	CCONJ
ejpam-5604	294	7	d.	d.	PROPN
ejpam-5604	294	8	s.	s.	PROPN
ejpam-5604	294	9	kim	kim	PROPN
ejpam-5604	294	10	.	.	PUNCT
ejpam-5604	295	1	explicit	explicit	ADJ
ejpam-5604	295	2	formulas	formula	NOUN
ejpam-5604	295	3	for	for	ADP
ejpam-5604	295	4	probabilistic	probabilistic	ADJ
ejpam-5604	295	5	multi	multi	ADJ
ejpam-5604	295	6	-	-	ADJ
ejpam-5604	295	7	poly	poly	ADJ
ejpam-5604	295	8	-	-	PUNCT
ejpam-5604	295	9	bernoulli	bernoulli	NOUN
ejpam-5604	295	10	polynomials	polynomial	NOUN
ejpam-5604	295	11	and	and	CCONJ
ejpam-5604	295	12	numbers	number	NOUN
ejpam-5604	295	13	.	.	PUNCT
ejpam-5604	296	1	russ	russ	PROPN
ejpam-5604	296	2	.	.	PUNCT
ejpam-5604	297	1	j.	j.	PROPN
ejpam-5604	297	2	math	math	PROPN
ejpam-5604	297	3	.	.	PUNCT
ejpam-5604	298	1	phys	phy	NOUN
ejpam-5604	298	2	.	.	PUNCT
ejpam-5604	298	3	,	,	PUNCT
ejpam-5604	298	4	31(3):450–460	31(3):450–460	NUM
ejpam-5604	298	5	,	,	PUNCT
ejpam-5604	298	6	2024	2024	NUM
ejpam-5604	298	7	.	.	PUNCT
ejpam-5604	299	1	[	[	X
ejpam-5604	299	2	10	10	NUM
ejpam-5604	299	3	]	]	PUNCT
ejpam-5604	299	4	t.	t.	PROPN
ejpam-5604	299	5	kim	kim	PROPN
ejpam-5604	299	6	and	and	CCONJ
ejpam-5604	299	7	d.	d.	PROPN
ejpam-5604	299	8	s.	s.	PROPN
ejpam-5604	299	9	kim	kim	PROPN
ejpam-5604	299	10	.	.	PUNCT
ejpam-5604	300	1	generalization	generalization	NOUN
ejpam-5604	300	2	of	of	ADP
ejpam-5604	300	3	spivey	spivey	PROPN
ejpam-5604	300	4	’s	’s	PART
ejpam-5604	300	5	recurrence	recurrence	PROPN
ejpam-5604	300	6	relation	relation	PROPN
ejpam-5604	300	7	.	.	PUNCT
ejpam-5604	301	1	russ	russ	PROPN
ejpam-5604	301	2	.	.	PUNCT
ejpam-5604	302	1	j.	j.	PROPN
ejpam-5604	302	2	math	math	PROPN
ejpam-5604	302	3	.	.	PUNCT
ejpam-5604	303	1	phys	phy	NOUN
ejpam-5604	303	2	.	.	PUNCT
ejpam-5604	303	3	,	,	PUNCT
ejpam-5604	303	4	31(2):218–226	31(2):218–226	NUM
ejpam-5604	303	5	,	,	PUNCT
ejpam-5604	303	6	2024	2024	NUM
ejpam-5604	303	7	.	.	PUNCT
ejpam-5604	304	1	[	[	X
ejpam-5604	304	2	11	11	NUM
ejpam-5604	304	3	]	]	PUNCT
ejpam-5604	304	4	t.	t.	PROPN
ejpam-5604	304	5	kim	kim	PROPN
ejpam-5604	304	6	and	and	CCONJ
ejpam-5604	304	7	d.	d.	PROPN
ejpam-5604	304	8	s.	s.	PROPN
ejpam-5604	304	9	kim	kim	PROPN
ejpam-5604	304	10	.	.	PUNCT
ejpam-5604	305	1	probabilistic	probabilistic	ADJ
ejpam-5604	305	2	bernoulli	bernoulli	PROPN
ejpam-5604	305	3	and	and	CCONJ
ejpam-5604	305	4	euler	euler	NOUN
ejpam-5604	305	5	polynomials	polynomial	NOUN
ejpam-5604	305	6	.	.	PUNCT
ejpam-5604	306	1	russ	russ	PROPN
ejpam-5604	306	2	.	.	PUNCT
ejpam-5604	307	1	j.	j.	PROPN
ejpam-5604	307	2	math	math	PROPN
ejpam-5604	307	3	.	.	PUNCT
ejpam-5604	308	1	phys	phy	NOUN
ejpam-5604	308	2	.	.	PUNCT
ejpam-5604	308	3	,	,	PUNCT
ejpam-5604	308	4	31(1):94–105	31(1):94–105	NUM
ejpam-5604	308	5	,	,	PUNCT
ejpam-5604	308	6	2024	2024	NUM
ejpam-5604	308	7	.	.	PUNCT
ejpam-5604	309	1	[	[	X
ejpam-5604	309	2	12	12	NUM
ejpam-5604	309	3	]	]	PUNCT
ejpam-5604	309	4	t.	t.	PROPN
ejpam-5604	309	5	kim	kim	PROPN
ejpam-5604	309	6	and	and	CCONJ
ejpam-5604	309	7	d.	d.	PROPN
ejpam-5604	309	8	s.	s.	PROPN
ejpam-5604	309	9	kim	kim	PROPN
ejpam-5604	309	10	.	.	PUNCT
ejpam-5604	310	1	some	some	DET
ejpam-5604	310	2	identities	identity	NOUN
ejpam-5604	310	3	on	on	ADP
ejpam-5604	310	4	degenerate	degenerate	ADJ
ejpam-5604	310	5	harmonic	harmonic	ADJ
ejpam-5604	310	6	and	and	CCONJ
ejpam-5604	310	7	degenerate	degenerate	ADJ
ejpam-5604	310	8	higher	high	ADJ
ejpam-5604	310	9	-	-	PUNCT
ejpam-5604	310	10	order	order	NOUN
ejpam-5604	310	11	harmonic	harmonic	ADJ
ejpam-5604	310	12	numbers	number	NOUN
ejpam-5604	310	13	.	.	PUNCT
ejpam-5604	311	1	appl	appl	PROPN
ejpam-5604	311	2	.	.	PROPN
ejpam-5604	311	3	math	math	PROPN
ejpam-5604	311	4	.	.	PUNCT
ejpam-5604	312	1	comput	comput	NOUN
ejpam-5604	312	2	.	.	PUNCT
ejpam-5604	312	3	,	,	PUNCT
ejpam-5604	312	4	486	486	NUM
ejpam-5604	312	5	:	:	PUNCT
ejpam-5604	312	6	paper	paper	NOUN
ejpam-5604	312	7	no	no	NOUN
ejpam-5604	312	8	.	.	PROPN
ejpam-5604	312	9	129045	129045	NUM
ejpam-5604	312	10	,	,	PUNCT
ejpam-5604	312	11	2025	2025	NUM
ejpam-5604	312	12	.	.	PUNCT
ejpam-5604	313	1	[	[	X
ejpam-5604	313	2	13	13	NUM
ejpam-5604	313	3	]	]	PUNCT
ejpam-5604	313	4	t.	t.	PROPN
ejpam-5604	313	5	kim	kim	PROPN
ejpam-5604	313	6	,	,	PUNCT
ejpam-5604	313	7	d.	d.	PROPN
ejpam-5604	313	8	s.	s.	PROPN
ejpam-5604	313	9	kim	kim	PROPN
ejpam-5604	313	10	,	,	PUNCT
ejpam-5604	313	11	and	and	CCONJ
ejpam-5604	313	12	h.	h.	PROPN
ejpam-5604	313	13	k.	k.	PROPN
ejpam-5604	313	14	kim	kim	PROPN
ejpam-5604	313	15	.	.	PUNCT
ejpam-5604	314	1	on	on	ADP
ejpam-5604	314	2	q	q	ADJ
ejpam-5604	314	3	-	-	PUNCT
ejpam-5604	314	4	derangement	derangement	NOUN
ejpam-5604	314	5	numbers	number	NOUN
ejpam-5604	314	6	and	and	CCONJ
ejpam-5604	314	7	polynomials	polynomial	NOUN
ejpam-5604	314	8	.	.	PUNCT
ejpam-5604	315	1	fractals	fractal	NOUN
ejpam-5604	315	2	,	,	PUNCT
ejpam-5604	315	3	30(10):article	30(10):article	PROPN
ejpam-5604	315	4	i	i	PROPN
ejpam-5604	315	5	d	d	PROPN
ejpam-5604	315	6	2240200	2240200	NUM
ejpam-5604	315	7	,	,	PUNCT
ejpam-5604	315	8	7	7	NUM
ejpam-5604	315	9	pp	pp	NOUN
ejpam-5604	315	10	.	.	PUNCT
ejpam-5604	315	11	,	,	PUNCT
ejpam-5604	315	12	2022	2022	NUM
ejpam-5604	315	13	.	.	PUNCT
ejpam-5604	316	1	[	[	X
ejpam-5604	316	2	14	14	NUM
ejpam-5604	316	3	]	]	PUNCT
ejpam-5604	316	4	t.	t.	PROPN
ejpam-5604	316	5	kim	kim	PROPN
ejpam-5604	316	6	,	,	PUNCT
ejpam-5604	316	7	d.	d.	PROPN
ejpam-5604	316	8	s.	s.	PROPN
ejpam-5604	316	9	kim	kim	PROPN
ejpam-5604	316	10	,	,	PUNCT
ejpam-5604	316	11	and	and	CCONJ
ejpam-5604	316	12	h.	h.	PROPN
ejpam-5604	316	13	k.	k.	PROPN
ejpam-5604	316	14	kim	kim	PROPN
ejpam-5604	316	15	.	.	PUNCT
ejpam-5604	317	1	generalized	generalized	ADJ
ejpam-5604	317	2	degenerate	degenerate	ADJ
ejpam-5604	317	3	stirling	stirling	NOUN
ejpam-5604	317	4	numbers	number	NOUN
ejpam-5604	317	5	arising	arise	VERB
ejpam-5604	317	6	from	from	ADP
ejpam-5604	317	7	degenerate	degenerate	ADJ
ejpam-5604	317	8	boson	boson	NOUN
ejpam-5604	317	9	normal	normal	ADJ
ejpam-5604	317	10	ordering	ordering	NOUN
ejpam-5604	317	11	.	.	PUNCT
ejpam-5604	318	1	appl	appl	PROPN
ejpam-5604	318	2	.	.	PROPN
ejpam-5604	318	3	math	math	PROPN
ejpam-5604	318	4	.	.	PUNCT
ejpam-5604	319	1	sci	sci	PROPN
ejpam-5604	319	2	.	.	PUNCT
ejpam-5604	320	1	eng	eng	PROPN
ejpam-5604	320	2	.	.	PROPN
ejpam-5604	320	3	,	,	PUNCT
ejpam-5604	321	1	31(1):2245540	31(1):2245540	NUM
ejpam-5604	321	2	,	,	PUNCT
ejpam-5604	321	3	16	16	NUM
ejpam-5604	321	4	pp	pp	NOUN
ejpam-5604	321	5	.	.	PUNCT
ejpam-5604	321	6	,	,	PUNCT
ejpam-5604	321	7	2023	2023	NUM
ejpam-5604	321	8	.	.	PUNCT
ejpam-5604	322	1	[	[	X
ejpam-5604	322	2	15	15	NUM
ejpam-5604	322	3	]	]	PUNCT
ejpam-5604	322	4	t.	t.	PROPN
ejpam-5604	322	5	kim	kim	PROPN
ejpam-5604	322	6	,	,	PUNCT
ejpam-5604	322	7	d.	d.	PROPN
ejpam-5604	322	8	s.	s.	PROPN
ejpam-5604	322	9	kim	kim	PROPN
ejpam-5604	322	10	,	,	PUNCT
ejpam-5604	322	11	and	and	CCONJ
ejpam-5604	322	12	j.	j.	PROPN
ejpam-5604	322	13	kwon	kwon	PROPN
ejpam-5604	322	14	.	.	PUNCT
ejpam-5604	323	1	probabilistic	probabilistic	ADJ
ejpam-5604	323	2	degenerate	degenerate	ADJ
ejpam-5604	323	3	stirling	stirling	NOUN
ejpam-5604	323	4	polynomials	polynomial	NOUN
ejpam-5604	323	5	of	of	ADP
ejpam-5604	323	6	the	the	DET
ejpam-5604	323	7	second	second	ADJ
ejpam-5604	323	8	kind	kind	NOUN
ejpam-5604	323	9	and	and	CCONJ
ejpam-5604	323	10	their	their	PRON
ejpam-5604	323	11	applications	application	NOUN
ejpam-5604	323	12	.	.	PUNCT
ejpam-5604	324	1	math	math	NOUN
ejpam-5604	324	2	.	.	PUNCT
ejpam-5604	325	1	comput	comput	PROPN
ejpam-5604	325	2	.	.	PUNCT
ejpam-5604	326	1	model	model	PROPN
ejpam-5604	326	2	.	.	PUNCT
ejpam-5604	327	1	dyn	dyn	PROPN
ejpam-5604	327	2	.	.	PUNCT
ejpam-5604	328	1	syst	syst	PROPN
ejpam-5604	328	2	.	.	PROPN
ejpam-5604	328	3	,	,	PUNCT
ejpam-5604	328	4	30(1):16–30	30(1):16–30	NUM
ejpam-5604	328	5	,	,	PUNCT
ejpam-5604	328	6	2024	2024	NUM
ejpam-5604	328	7	.	.	PUNCT
ejpam-5604	329	1	[	[	X
ejpam-5604	329	2	16	16	NUM
ejpam-5604	329	3	]	]	PUNCT
ejpam-5604	329	4	t.	t.	PROPN
ejpam-5604	329	5	kim	kim	PROPN
ejpam-5604	329	6	,	,	PUNCT
ejpam-5604	329	7	d.	d.	PROPN
ejpam-5604	329	8	s.	s.	PROPN
ejpam-5604	329	9	kim	kim	PROPN
ejpam-5604	329	10	,	,	PUNCT
ejpam-5604	329	11	j.	j.	PROPN
ejpam-5604	329	12	kwon	kwon	PROPN
ejpam-5604	329	13	,	,	PUNCT
ejpam-5604	329	14	and	and	CCONJ
ejpam-5604	329	15	h.	h.	PROPN
ejpam-5604	329	16	lee	lee	PROPN
ejpam-5604	329	17	.	.	PUNCT
ejpam-5604	329	18	lerch	lerch	PROPN
ejpam-5604	329	19	-	-	PUNCT
ejpam-5604	329	20	harmonic	harmonic	ADJ
ejpam-5604	329	21	numbers	number	NOUN
ejpam-5604	329	22	related	relate	VERB
ejpam-5604	329	23	to	to	ADP
ejpam-5604	329	24	lerch	lerch	PROPN
ejpam-5604	329	25	transcendent	transcendent	PROPN
ejpam-5604	329	26	.	.	PUNCT
ejpam-5604	330	1	math	math	NOUN
ejpam-5604	330	2	.	.	PUNCT
ejpam-5604	331	1	comput	comput	PROPN
ejpam-5604	331	2	.	.	PUNCT
ejpam-5604	332	1	model	model	PROPN
ejpam-5604	332	2	.	.	PUNCT
ejpam-5604	333	1	dyn	dyn	PROPN
ejpam-5604	333	2	.	.	PUNCT
ejpam-5604	334	1	syst	syst	PROPN
ejpam-5604	334	2	.	.	PUNCT
ejpam-5604	334	3	,	,	PUNCT
ejpam-5604	335	1	29(1):315–323	29(1):315–323	NUM
ejpam-5604	335	2	,	,	PUNCT
ejpam-5604	335	3	2023	2023	NUM
ejpam-5604	335	4	.	.	PUNCT
ejpam-5604	336	1	[	[	X
ejpam-5604	336	2	17	17	NUM
ejpam-5604	336	3	]	]	X
ejpam-5604	336	4	l.	l.	PROPN
ejpam-5604	336	5	luo	luo	PROPN
ejpam-5604	336	6	,	,	PUNCT
ejpam-5604	336	7	t.	t.	PROPN
ejpam-5604	336	8	kim	kim	PROPN
ejpam-5604	336	9	,	,	PUNCT
ejpam-5604	336	10	d.	d.	PROPN
ejpam-5604	336	11	s.	s.	PROPN
ejpam-5604	336	12	kim	kim	PROPN
ejpam-5604	336	13	,	,	PUNCT
ejpam-5604	336	14	and	and	CCONJ
ejpam-5604	336	15	y.	y.	PROPN
ejpam-5604	336	16	ma	ma	PROPN
ejpam-5604	336	17	.	.	PROPN
ejpam-5604	336	18	probabilistic	probabilistic	ADJ
ejpam-5604	336	19	degenerate	degenerate	ADJ
ejpam-5604	336	20	bernoulli	bernoulli	NOUN
ejpam-5604	336	21	and	and	CCONJ
ejpam-5604	336	22	degenerate	degenerate	ADJ
ejpam-5604	336	23	euler	euler	NOUN
ejpam-5604	336	24	polynomials	polynomial	NOUN
ejpam-5604	336	25	.	.	PUNCT
ejpam-5604	337	1	math	math	NOUN
ejpam-5604	337	2	.	.	PUNCT
ejpam-5604	338	1	comput	comput	NOUN
ejpam-5604	338	2	.	.	PUNCT
ejpam-5604	339	1	model	model	PROPN
ejpam-5604	339	2	.	.	PUNCT
ejpam-5604	340	1	dyn	dyn	PROPN
ejpam-5604	340	2	.	.	PUNCT
ejpam-5604	341	1	syst	syst	PROPN
ejpam-5604	341	2	.	.	PUNCT
ejpam-5604	341	3	,	,	PUNCT
ejpam-5604	341	4	30(1):342–363	30(1):342–363	NOUN
ejpam-5604	341	5	,	,	PUNCT
ejpam-5604	341	6	2024	2024	NUM
ejpam-5604	341	7	.	.	PUNCT
ejpam-5604	342	1	[	[	X
ejpam-5604	342	2	18	18	NUM
ejpam-5604	342	3	]	]	X
ejpam-5604	342	4	l.	l.	PROPN
ejpam-5604	342	5	luo	luo	PROPN
ejpam-5604	342	6	,	,	PUNCT
ejpam-5604	342	7	y.	y.	PROPN
ejpam-5604	342	8	ma	ma	PROPN
ejpam-5604	342	9	,	,	PUNCT
ejpam-5604	342	10	t.	t.	PROPN
ejpam-5604	342	11	kim	kim	PROPN
ejpam-5604	342	12	,	,	PUNCT
ejpam-5604	342	13	and	and	CCONJ
ejpam-5604	342	14	r.	r.	PROPN
ejpam-5604	342	15	xu	xu	PROPN
ejpam-5604	342	16	.	.	PUNCT
ejpam-5604	343	1	series	series	PROPN
ejpam-5604	343	2	involving	involve	VERB
ejpam-5604	343	3	degenerate	degenerate	ADJ
ejpam-5604	343	4	harmonic	harmonic	ADJ
ejpam-5604	343	5	numbers	number	NOUN
ejpam-5604	343	6	and	and	CCONJ
ejpam-5604	343	7	degenerate	degenerate	ADJ
ejpam-5604	343	8	stirling	stirling	NOUN
ejpam-5604	343	9	numbers	number	NOUN
ejpam-5604	343	10	.	.	PUNCT
ejpam-5604	344	1	appl	appl	PROPN
ejpam-5604	344	2	.	.	PROPN
ejpam-5604	344	3	math	math	PROPN
ejpam-5604	344	4	.	.	PUNCT
ejpam-5604	345	1	sci	sci	PROPN
ejpam-5604	345	2	.	.	PUNCT
ejpam-5604	346	1	eng	eng	PROPN
ejpam-5604	346	2	.	.	PROPN
ejpam-5604	346	3	,	,	PUNCT
ejpam-5604	347	1	32(1):paper	32(1):paper	PROPN
ejpam-5604	347	2	no	no	NOUN
ejpam-5604	347	3	.	.	PROPN
ejpam-5604	347	4	2297045	2297045	NUM
ejpam-5604	347	5	,	,	PUNCT
ejpam-5604	347	6	11	11	NUM
ejpam-5604	347	7	pp	pp	NOUN
ejpam-5604	347	8	.	.	PUNCT
ejpam-5604	347	9	,	,	PUNCT
ejpam-5604	347	10	2024	2024	NUM
ejpam-5604	347	11	.	.	PUNCT
ejpam-5604	348	1	[	[	X
ejpam-5604	348	2	19	19	NUM
ejpam-5604	348	3	]	]	X
ejpam-5604	348	4	y.	y.	PROPN
ejpam-5604	348	5	ma	ma	PROPN
ejpam-5604	348	6	,	,	PUNCT
ejpam-5604	348	7	t.	t.	PROPN
ejpam-5604	348	8	kim	kim	PROPN
ejpam-5604	348	9	,	,	PUNCT
ejpam-5604	348	10	h.	h.	PROPN
ejpam-5604	348	11	lee	lee	PROPN
ejpam-5604	348	12	,	,	PUNCT
ejpam-5604	348	13	and	and	CCONJ
ejpam-5604	348	14	d.	d.	PROPN
ejpam-5604	348	15	kim	kim	PROPN
ejpam-5604	348	16	.	.	PUNCT
ejpam-5604	349	1	some	some	DET
ejpam-5604	349	2	identities	identity	NOUN
ejpam-5604	349	3	of	of	ADP
ejpam-5604	349	4	fully	fully	ADV
ejpam-5604	349	5	degenerate	degenerate	ADJ
ejpam-5604	349	6	dowling	dowling	NOUN
ejpam-5604	349	7	and	and	CCONJ
ejpam-5604	349	8	fully	fully	ADV
ejpam-5604	349	9	degenerate	degenerate	ADJ
ejpam-5604	349	10	bell	bell	NOUN
ejpam-5604	349	11	polynomials	polynomial	NOUN
ejpam-5604	349	12	arising	arise	VERB
ejpam-5604	349	13	from	from	ADP
ejpam-5604	349	14	λ	λ	NOUN
ejpam-5604	349	15	-	-	ADJ
ejpam-5604	349	16	umbral	umbral	ADJ
ejpam-5604	349	17	calculus	calculus	NOUN
ejpam-5604	349	18	.	.	PUNCT
ejpam-5604	350	1	fractals	fractal	NOUN
ejpam-5604	350	2	,	,	PUNCT
ejpam-5604	350	3	30(10):article	30(10):article	PROPN
ejpam-5604	350	4	no	no	INTJ
ejpam-5604	350	5	.	.	PUNCT
ejpam-5604	350	6	2240257	2240257	NUM
ejpam-5604	350	7	,	,	PUNCT
ejpam-5604	350	8	10	10	NUM
ejpam-5604	350	9	pp	pp	NOUN
ejpam-5604	350	10	.	.	PUNCT
ejpam-5604	350	11	,	,	PUNCT
ejpam-5604	350	12	2022	2022	NUM
ejpam-5604	350	13	.	.	PUNCT
ejpam-5604	351	1	[	[	X
ejpam-5604	351	2	20	20	NUM
ejpam-5604	351	3	]	]	PUNCT
ejpam-5604	351	4	s.	s.	PROPN
ejpam-5604	351	5	nadarajah	nadarajah	PROPN
ejpam-5604	351	6	and	and	CCONJ
ejpam-5604	351	7	k.	k.	PROPN
ejpam-5604	351	8	mitov	mitov	PROPN
ejpam-5604	351	9	.	.	PUNCT
ejpam-5604	352	1	product	product	NOUN
ejpam-5604	352	2	moments	moment	NOUN
ejpam-5604	352	3	of	of	ADP
ejpam-5604	352	4	multivariate	multivariate	NOUN
ejpam-5604	352	5	random	random	ADJ
ejpam-5604	352	6	vectors	vector	NOUN
ejpam-5604	352	7	.	.	PUNCT
ejpam-5604	353	1	comm	comm	NOUN
ejpam-5604	353	2	.	.	PUNCT
ejpam-5604	354	1	statist	statist	PROPN
ejpam-5604	354	2	.	.	PUNCT
ejpam-5604	355	1	theory	theory	NOUN
ejpam-5604	355	2	methods	method	NOUN
ejpam-5604	355	3	,	,	PUNCT
ejpam-5604	355	4	32(1):47–60	32(1):47–60	NUM
ejpam-5604	355	5	,	,	PUNCT
ejpam-5604	355	6	2003	2003	NUM
ejpam-5604	355	7	.	.	PUNCT
ejpam-5604	356	1	[	[	X
ejpam-5604	356	2	21	21	NUM
ejpam-5604	356	3	]	]	PUNCT
ejpam-5604	356	4	j.-w	j.-w	PROPN
ejpam-5604	356	5	.	.	PUNCT
ejpam-5604	357	1	park	park	NOUN
ejpam-5604	357	2	and	and	CCONJ
ejpam-5604	357	3	s.-s	s.-	NOUN
ejpam-5604	357	4	.	.	PUNCT
ejpam-5604	358	1	pyo	pyo	PROPN
ejpam-5604	358	2	.	.	PUNCT
ejpam-5604	359	1	a	a	DET
ejpam-5604	359	2	note	note	NOUN
ejpam-5604	359	3	on	on	ADP
ejpam-5604	359	4	degenerate	degenerate	ADJ
ejpam-5604	359	5	bernoulli	bernoulli	NOUN
ejpam-5604	359	6	polynomials	polynomial	NOUN
ejpam-5604	359	7	arising	arise	VERB
ejpam-5604	359	8	from	from	ADP
ejpam-5604	359	9	umbral	umbral	ADJ
ejpam-5604	359	10	calculus	calculus	NOUN
ejpam-5604	359	11	.	.	PUNCT
ejpam-5604	360	1	adv	adv	PROPN
ejpam-5604	360	2	.	.	PUNCT
ejpam-5604	360	3	stud	stud	PROPN
ejpam-5604	360	4	.	.	PUNCT
ejpam-5604	361	1	contemp	contemp	NOUN
ejpam-5604	361	2	.	.	PUNCT
ejpam-5604	362	1	math	math	NOUN
ejpam-5604	362	2	.	.	PUNCT
ejpam-5604	363	1	(	(	PUNCT
ejpam-5604	363	2	kyungshang	kyungshang	PROPN
ejpam-5604	363	3	)	)	PUNCT
ejpam-5604	363	4	,	,	PUNCT
ejpam-5604	363	5	32(4):509–525	32(4):509–525	NOUN
ejpam-5604	363	6	,	,	PUNCT
ejpam-5604	363	7	2022	2022	NUM
ejpam-5604	363	8	.	.	PUNCT
ejpam-5604	364	1	references	reference	NOUN
ejpam-5604	364	2	3855	3855	NUM
ejpam-5604	364	3	[	[	X
ejpam-5604	364	4	22	22	NUM
ejpam-5604	364	5	]	]	PUNCT
ejpam-5604	364	6	a.	a.	NOUN
ejpam-5604	364	7	patra	patra	PROPN
ejpam-5604	364	8	,	,	PUNCT
ejpam-5604	364	9	t.	t.	PROPN
ejpam-5604	364	10	komatsu	komatsu	PROPN
ejpam-5604	364	11	,	,	PUNCT
ejpam-5604	364	12	and	and	CCONJ
ejpam-5604	364	13	g.	g.	PROPN
ejpam-5604	364	14	k.	k.	PROPN
ejpam-5604	364	15	panda	panda	PROPN
ejpam-5604	364	16	.	.	PUNCT
ejpam-5604	365	1	the	the	DET
ejpam-5604	365	2	growth	growth	NOUN
ejpam-5604	365	3	rate	rate	NOUN
ejpam-5604	365	4	of	of	ADP
ejpam-5604	365	5	random	random	ADJ
ejpam-5604	365	6	balancing	balancing	NOUN
ejpam-5604	365	7	sequence	sequence	NOUN
ejpam-5604	365	8	.	.	PUNCT
ejpam-5604	366	1	proc	proc	PROPN
ejpam-5604	366	2	.	.	PUNCT
ejpam-5604	367	1	jangjeon	jangjeon	PROPN
ejpam-5604	367	2	math	math	PROPN
ejpam-5604	367	3	.	.	PUNCT
ejpam-5604	368	1	soc	soc	PROPN
ejpam-5604	368	2	.	.	PUNCT
ejpam-5604	368	3	,	,	PUNCT
ejpam-5604	368	4	23(3):297–304	23(3):297–304	PROPN
ejpam-5604	368	5	,	,	PUNCT
ejpam-5604	368	6	2020	2020	NUM
ejpam-5604	368	7	.	.	PUNCT
ejpam-5604	369	1	[	[	X
ejpam-5604	369	2	23	23	NUM
ejpam-5604	369	3	]	]	PUNCT
ejpam-5604	369	4	s.	s.	PROPN
ejpam-5604	369	5	m.	m.	PROPN
ejpam-5604	369	6	ross	ross	PROPN
ejpam-5604	369	7	.	.	PROPN
ejpam-5604	370	1	introduction	introduction	NOUN
ejpam-5604	370	2	to	to	ADP
ejpam-5604	370	3	probability	probability	NOUN
ejpam-5604	370	4	models	model	NOUN
ejpam-5604	370	5	.	.	PUNCT
ejpam-5604	371	1	academic	academic	ADJ
ejpam-5604	371	2	press	press	PROPN
ejpam-5604	371	3	,	,	PUNCT
ejpam-5604	371	4	london	london	PROPN
ejpam-5604	371	5	,	,	PUNCT
ejpam-5604	371	6	thirteenth	thirteenth	NOUN
ejpam-5604	371	7	edition	edition	NOUN
ejpam-5604	371	8	,	,	PUNCT
ejpam-5604	371	9	2024	2024	NUM
ejpam-5604	371	10	.	.	PUNCT
ejpam-5604	372	1	[	[	X
ejpam-5604	372	2	24	24	NUM
ejpam-5604	372	3	]	]	PUNCT
ejpam-5604	372	4	m.	m.	NOUN
ejpam-5604	372	5	saha	saha	PROPN
ejpam-5604	372	6	and	and	CCONJ
ejpam-5604	372	7	l.	l.	PROPN
ejpam-5604	372	8	debnath	debnath	PROPN
ejpam-5604	372	9	.	.	PUNCT
ejpam-5604	373	1	random	random	ADJ
ejpam-5604	373	2	fixed	fix	VERB
ejpam-5604	373	3	point	point	NOUN
ejpam-5604	373	4	of	of	ADP
ejpam-5604	373	5	mappings	mapping	NOUN
ejpam-5604	373	6	over	over	ADP
ejpam-5604	373	7	a	a	DET
ejpam-5604	373	8	hilbert	hilbert	NOUN
ejpam-5604	373	9	space	space	NOUN
ejpam-5604	373	10	with	with	ADP
ejpam-5604	373	11	a	a	DET
ejpam-5604	373	12	probability	probability	NOUN
ejpam-5604	373	13	measure	measure	NOUN
ejpam-5604	373	14	.	.	PUNCT
ejpam-5604	374	1	adv	adv	PROPN
ejpam-5604	374	2	.	.	PUNCT
ejpam-5604	374	3	stud	stud	PROPN
ejpam-5604	374	4	.	.	PUNCT
ejpam-5604	375	1	contemp	contemp	NOUN
ejpam-5604	375	2	.	.	PUNCT
ejpam-5604	376	1	math	math	NOUN
ejpam-5604	376	2	.	.	PUNCT
ejpam-5604	377	1	(	(	PUNCT
ejpam-5604	377	2	kyungshang	kyungshang	PROPN
ejpam-5604	377	3	)	)	PUNCT
ejpam-5604	377	4	,	,	PUNCT
ejpam-5604	377	5	18(1):97–104	18(1):97–104	NUM
ejpam-5604	377	6	,	,	PUNCT
ejpam-5604	377	7	2009	2009	NUM
ejpam-5604	377	8	.	.	PUNCT
ejpam-5604	378	1	[	[	X
ejpam-5604	378	2	25	25	NUM
ejpam-5604	378	3	]	]	PUNCT
ejpam-5604	378	4	i.	i.	NOUN
ejpam-5604	378	5	song	song	NOUN
ejpam-5604	378	6	and	and	CCONJ
ejpam-5604	378	7	s.	s.	PROPN
ejpam-5604	378	8	lee	lee	PROPN
ejpam-5604	378	9	.	.	PUNCT
ejpam-5604	379	1	explicit	explicit	ADJ
ejpam-5604	379	2	formulae	formulae	NOUN
ejpam-5604	379	3	for	for	ADP
ejpam-5604	379	4	product	product	NOUN
ejpam-5604	379	5	moments	moment	NOUN
ejpam-5604	379	6	of	of	ADP
ejpam-5604	379	7	multivariate	multivariate	NOUN
ejpam-5604	379	8	gaussian	gaussian	ADJ
ejpam-5604	379	9	random	random	ADJ
ejpam-5604	379	10	variables	variable	NOUN
ejpam-5604	379	11	.	.	PUNCT
ejpam-5604	380	1	statist	statist	NOUN
ejpam-5604	380	2	.	.	PUNCT
ejpam-5604	381	1	probab	probab	PROPN
ejpam-5604	381	2	.	.	PUNCT
ejpam-5604	382	1	lett	lett	PROPN
ejpam-5604	382	2	.	.	PROPN
ejpam-5604	382	3	,	,	PUNCT
ejpam-5604	383	1	100:27–34	100:27–34	NUM
ejpam-5604	383	2	,	,	PUNCT
ejpam-5604	383	3	2015	2015	NUM
ejpam-5604	383	4	.	.	PUNCT
ejpam-5604	384	1	[	[	X
ejpam-5604	384	2	26	26	NUM
ejpam-5604	384	3	]	]	X
ejpam-5604	384	4	d.	d.	PROPN
ejpam-5604	384	5	wang	wang	PROPN
ejpam-5604	384	6	.	.	PUNCT
ejpam-5604	385	1	on	on	ADP
ejpam-5604	385	2	the	the	DET
ejpam-5604	385	3	expectation	expectation	NOUN
ejpam-5604	385	4	of	of	ADP
ejpam-5604	385	5	two	two	NUM
ejpam-5604	385	6	dimensional	dimensional	ADJ
ejpam-5604	385	7	fuzzy	fuzzy	ADJ
ejpam-5604	385	8	random	random	ADJ
ejpam-5604	385	9	variables	variable	NOUN
ejpam-5604	385	10	with	with	ADP
ejpam-5604	385	11	respect	respect	NOUN
ejpam-5604	385	12	to	to	ADP
ejpam-5604	385	13	a	a	DET
ejpam-5604	385	14	cone	cone	NOUN
ejpam-5604	385	15	induced	induce	VERB
ejpam-5604	385	16	order	order	NOUN
ejpam-5604	385	17	.	.	PUNCT
ejpam-5604	386	1	adv	adv	PROPN
ejpam-5604	386	2	.	.	PUNCT
ejpam-5604	386	3	stud	stud	PROPN
ejpam-5604	386	4	.	.	PUNCT
ejpam-5604	387	1	contemp	contemp	NOUN
ejpam-5604	387	2	.	.	PUNCT
ejpam-5604	388	1	math	math	NOUN
ejpam-5604	388	2	.	.	PUNCT
ejpam-5604	389	1	(	(	PUNCT
ejpam-5604	389	2	kyungshang	kyungshang	PROPN
ejpam-5604	389	3	)	)	PUNCT
ejpam-5604	389	4	,	,	PUNCT
ejpam-5604	389	5	7(2):167–178	7(2):167–178	NUM
ejpam-5604	389	6	,	,	PUNCT
ejpam-5604	389	7	2003	2003	NUM
ejpam-5604	389	8	.	.	PUNCT
ejpam-5604	390	1	[	[	X
ejpam-5604	390	2	27	27	NUM
ejpam-5604	390	3	]	]	X
ejpam-5604	390	4	r.	r.	PROPN
ejpam-5604	390	5	xu	xu	PROPN
ejpam-5604	390	6	,	,	PUNCT
ejpam-5604	390	7	t.	t.	PROPN
ejpam-5604	390	8	kim	kim	PROPN
ejpam-5604	390	9	,	,	PUNCT
ejpam-5604	390	10	d.	d.	PROPN
ejpam-5604	390	11	s.	s.	PROPN
ejpam-5604	390	12	kim	kim	PROPN
ejpam-5604	390	13	,	,	PUNCT
ejpam-5604	390	14	and	and	CCONJ
ejpam-5604	390	15	y.	y.	PROPN
ejpam-5604	390	16	ma	ma	PROPN
ejpam-5604	390	17	.	.	PROPN
ejpam-5604	391	1	probabilistic	probabilistic	ADJ
ejpam-5604	391	2	degenerate	degenerate	ADJ
ejpam-5604	391	3	fubini	fubini	ADJ
ejpam-5604	391	4	polynomials	polynomial	NOUN
ejpam-5604	391	5	associated	associate	VERB
ejpam-5604	391	6	with	with	ADP
ejpam-5604	391	7	random	random	ADJ
ejpam-5604	391	8	variables	variable	NOUN
ejpam-5604	391	9	.	.	PUNCT
ejpam-5604	392	1	j.	j.	PROPN
ejpam-5604	392	2	nonlinear	nonlinear	PROPN
ejpam-5604	392	3	math	math	PROPN
ejpam-5604	392	4	.	.	PUNCT
ejpam-5604	393	1	phys	phy	NOUN
ejpam-5604	393	2	.	.	PUNCT
ejpam-5604	393	3	,	,	PUNCT
ejpam-5604	393	4	31	31	NUM
ejpam-5604	393	5	:	:	PUNCT
ejpam-5604	393	6	paper	paper	NOUN
ejpam-5604	393	7	no	no	NOUN
ejpam-5604	393	8	.	.	PROPN
ejpam-5604	394	1	47	47	NUM
ejpam-5604	394	2	,	,	PUNCT
ejpam-5604	394	3	18	18	NUM
ejpam-5604	394	4	pp	pp	NOUN
ejpam-5604	394	5	.	.	PUNCT
ejpam-5604	394	6	,	,	PUNCT
ejpam-5604	394	7	2024	2024	NUM
ejpam-5604	394	8	.	.	PUNCT