id	sid	tid	token	lemma	pos
ejpam-7184	1	1	european	european	PROPN
ejpam-7184	1	2	journal	journal	PROPN
ejpam-7184	1	3	of	of	ADP
ejpam-7184	1	4	pure	pure	ADJ
ejpam-7184	1	5	and	and	CCONJ
ejpam-7184	1	6	applied	applied	ADJ
ejpam-7184	1	7	mathematics	mathematic	NOUN
ejpam-7184	1	8	2025	2025	NUM
ejpam-7184	1	9	,	,	PUNCT
ejpam-7184	1	10	vol	vol	NOUN
ejpam-7184	1	11	.	.	PROPN
ejpam-7184	1	12	18	18	NUM
ejpam-7184	1	13	,	,	PUNCT
ejpam-7184	1	14	issue	issue	NOUN
ejpam-7184	1	15	4	4	NUM
ejpam-7184	1	16	,	,	PUNCT
ejpam-7184	1	17	article	article	NOUN
ejpam-7184	1	18	number	number	NOUN
ejpam-7184	1	19	7184	7184	NUM
ejpam-7184	1	20	issn	issn	VERB
ejpam-7184	1	21	1307	1307	NUM
ejpam-7184	1	22	-	-	SYM
ejpam-7184	1	23	5543	5543	NUM
ejpam-7184	1	24	–	–	PUNCT
ejpam-7184	1	25	ejpam.com	ejpam.com	X
ejpam-7184	1	26	published	publish	VERB
ejpam-7184	1	27	by	by	ADP
ejpam-7184	1	28	new	new	PROPN
ejpam-7184	1	29	york	york	PROPN
ejpam-7184	1	30	business	business	PROPN
ejpam-7184	1	31	global	global	ADJ
ejpam-7184	1	32	concomitant	concomitant	ADJ
ejpam-7184	1	33	extropy	extropy	NOUN
ejpam-7184	1	34	of	of	ADP
ejpam-7184	1	35	lai	lai	PROPN
ejpam-7184	1	36	and	and	CCONJ
ejpam-7184	1	37	xie	xie	PROPN
ejpam-7184	1	38	’s	’s	PART
ejpam-7184	1	39	extensions	extension	NOUN
ejpam-7184	1	40	under	under	ADP
ejpam-7184	1	41	generalized	generalized	ADJ
ejpam-7184	1	42	order	order	NOUN
ejpam-7184	1	43	statistics	statistic	NOUN
ejpam-7184	1	44	:	:	PUNCT
ejpam-7184	1	45	properties	property	NOUN
ejpam-7184	1	46	,	,	PUNCT
ejpam-7184	1	47	estimation	estimation	NOUN
ejpam-7184	1	48	,	,	PUNCT
ejpam-7184	1	49	and	and	CCONJ
ejpam-7184	1	50	application	application	NOUN
ejpam-7184	1	51	to	to	ADP
ejpam-7184	1	52	saudi	saudi	PROPN
ejpam-7184	1	53	arabia	arabia	PROPN
ejpam-7184	1	54	industrial	industrial	PROPN
ejpam-7184	1	55	data	data	PROPN
ejpam-7184	1	56	mohamed	mohamed	PROPN
ejpam-7184	1	57	said	say	VERB
ejpam-7184	1	58	mohamed1	mohamed1	PROPN
ejpam-7184	1	59	,	,	PUNCT
ejpam-7184	1	60	s.	s.	PROPN
ejpam-7184	1	61	m.	m.	PROPN
ejpam-7184	1	62	el	el	PROPN
ejpam-7184	1	63	-	-	PROPN
ejpam-7184	1	64	arishy2	arishy2	PROPN
ejpam-7184	1	65	,	,	PUNCT
ejpam-7184	1	66	a.	a.	NOUN
ejpam-7184	1	67	gamal3	gamal3	NOUN
ejpam-7184	1	68	,	,	PUNCT
ejpam-7184	1	69	saqer	saqer	PROPN
ejpam-7184	1	70	abdullah	abdullah	PROPN
ejpam-7184	1	71	faqih4	faqih4	PROPN
ejpam-7184	1	72	,	,	PUNCT
ejpam-7184	1	73	r.	r.	PROPN
ejpam-7184	1	74	a.	a.	PROPN
ejpam-7184	1	75	aldallal4,∗	aldallal4,∗	PROPN
ejpam-7184	1	76	1	1	NUM
ejpam-7184	1	77	department	department	PROPN
ejpam-7184	1	78	of	of	ADP
ejpam-7184	1	79	mathematics	mathematic	NOUN
ejpam-7184	1	80	,	,	PUNCT
ejpam-7184	1	81	college	college	NOUN
ejpam-7184	1	82	of	of	ADP
ejpam-7184	1	83	science	science	NOUN
ejpam-7184	1	84	and	and	CCONJ
ejpam-7184	1	85	humanities	humanity	NOUN
ejpam-7184	1	86	,	,	PUNCT
ejpam-7184	1	87	prince	prince	PROPN
ejpam-7184	1	88	sattam	sattam	PROPN
ejpam-7184	1	89	bin	bin	PROPN
ejpam-7184	1	90	abdulaziz	abdulaziz	PROPN
ejpam-7184	1	91	university	university	PROPN
ejpam-7184	1	92	,	,	PUNCT
ejpam-7184	1	93	hawtat	hawtat	X
ejpam-7184	1	94	bani	bani	PROPN
ejpam-7184	1	95	tamim	tamim	PROPN
ejpam-7184	1	96	16511	16511	NUM
ejpam-7184	1	97	,	,	PUNCT
ejpam-7184	1	98	saudi	saudi	PROPN
ejpam-7184	1	99	arabia	arabia	PROPN
ejpam-7184	1	100	2	2	NUM
ejpam-7184	1	101	department	department	NOUN
ejpam-7184	1	102	of	of	ADP
ejpam-7184	1	103	mathematics	mathematic	NOUN
ejpam-7184	1	104	,	,	PUNCT
ejpam-7184	1	105	faculty	faculty	NOUN
ejpam-7184	1	106	of	of	ADP
ejpam-7184	1	107	science	science	NOUN
ejpam-7184	1	108	,	,	PUNCT
ejpam-7184	1	109	al	al	PROPN
ejpam-7184	1	110	-	-	PUNCT
ejpam-7184	1	111	azhar	azhar	PROPN
ejpam-7184	1	112	university	university	PROPN
ejpam-7184	1	113	(	(	PUNCT
ejpam-7184	1	114	girls	girl	NOUN
ejpam-7184	1	115	branch	branch	NOUN
ejpam-7184	1	116	)	)	PUNCT
ejpam-7184	1	117	,	,	PUNCT
ejpam-7184	1	118	cairo	cairo	PROPN
ejpam-7184	1	119	,	,	PUNCT
ejpam-7184	1	120	egypt	egypt	PROPN
ejpam-7184	1	121	3	3	NUM
ejpam-7184	1	122	department	department	NOUN
ejpam-7184	1	123	of	of	ADP
ejpam-7184	1	124	mathematics	mathematic	NOUN
ejpam-7184	1	125	,	,	PUNCT
ejpam-7184	1	126	faculty	faculty	NOUN
ejpam-7184	1	127	of	of	ADP
ejpam-7184	1	128	science	science	NOUN
ejpam-7184	1	129	,	,	PUNCT
ejpam-7184	1	130	fayoum	fayoum	PROPN
ejpam-7184	1	131	university	university	PROPN
ejpam-7184	1	132	,	,	PUNCT
ejpam-7184	1	133	egypt	egypt	PROPN
ejpam-7184	1	134	4	4	NUM
ejpam-7184	1	135	department	department	PROPN
ejpam-7184	1	136	of	of	ADP
ejpam-7184	1	137	management	management	NOUN
ejpam-7184	1	138	,	,	PUNCT
ejpam-7184	1	139	college	college	NOUN
ejpam-7184	1	140	of	of	ADP
ejpam-7184	1	141	business	business	PROPN
ejpam-7184	1	142	administration	administration	NOUN
ejpam-7184	1	143	in	in	ADP
ejpam-7184	1	144	hawtat	hawtat	PROPN
ejpam-7184	1	145	bani	bani	PROPN
ejpam-7184	1	146	tamim	tamim	PROPN
ejpam-7184	1	147	,	,	PUNCT
ejpam-7184	1	148	prince	prince	PROPN
ejpam-7184	1	149	sattam	sattam	PROPN
ejpam-7184	1	150	bin	bin	PROPN
ejpam-7184	1	151	abdulaziz	abdulaziz	PROPN
ejpam-7184	1	152	university	university	PROPN
ejpam-7184	1	153	,	,	PUNCT
ejpam-7184	1	154	saudi	saudi	PROPN
ejpam-7184	1	155	arabia	arabia	PROPN
ejpam-7184	1	156	abstract	abstract	NOUN
ejpam-7184	1	157	.	.	PUNCT
ejpam-7184	2	1	in	in	ADP
ejpam-7184	2	2	this	this	DET
ejpam-7184	2	3	work	work	NOUN
ejpam-7184	2	4	,	,	PUNCT
ejpam-7184	2	5	we	we	PRON
ejpam-7184	2	6	introduce	introduce	VERB
ejpam-7184	2	7	and	and	CCONJ
ejpam-7184	2	8	study	study	VERB
ejpam-7184	2	9	the	the	DET
ejpam-7184	2	10	notion	notion	NOUN
ejpam-7184	2	11	of	of	ADP
ejpam-7184	2	12	concomitant	concomitant	ADJ
ejpam-7184	2	13	extropy	extropy	NOUN
ejpam-7184	2	14	within	within	ADP
ejpam-7184	2	15	the	the	DET
ejpam-7184	2	16	framework	framework	NOUN
ejpam-7184	2	17	of	of	ADP
ejpam-7184	2	18	generalized	generalized	ADJ
ejpam-7184	2	19	order	order	NOUN
ejpam-7184	2	20	statistics	statistic	NOUN
ejpam-7184	2	21	,	,	PUNCT
ejpam-7184	2	22	extending	extend	VERB
ejpam-7184	2	23	the	the	DET
ejpam-7184	2	24	earlier	early	ADJ
ejpam-7184	2	25	contributions	contribution	NOUN
ejpam-7184	2	26	of	of	ADP
ejpam-7184	2	27	lai	lai	PROPN
ejpam-7184	2	28	and	and	CCONJ
ejpam-7184	2	29	xie	xie	PROPN
ejpam-7184	2	30	.	.	PUNCT
ejpam-7184	3	1	the	the	DET
ejpam-7184	3	2	construction	construction	NOUN
ejpam-7184	3	3	is	be	AUX
ejpam-7184	3	4	supported	support	VERB
ejpam-7184	3	5	with	with	ADP
ejpam-7184	3	6	illustrative	illustrative	ADJ
ejpam-7184	3	7	examples	example	NOUN
ejpam-7184	3	8	drawn	draw	VERB
ejpam-7184	3	9	from	from	ADP
ejpam-7184	3	10	widely	widely	ADV
ejpam-7184	3	11	used	use	VERB
ejpam-7184	3	12	probability	probability	NOUN
ejpam-7184	3	13	distributions	distribution	NOUN
ejpam-7184	3	14	,	,	PUNCT
ejpam-7184	3	15	highlighting	highlight	VERB
ejpam-7184	3	16	the	the	DET
ejpam-7184	3	17	flexibility	flexibility	NOUN
ejpam-7184	3	18	and	and	CCONJ
ejpam-7184	3	19	applicability	applicability	NOUN
ejpam-7184	3	20	of	of	ADP
ejpam-7184	3	21	the	the	DET
ejpam-7184	3	22	proposed	propose	VERB
ejpam-7184	3	23	measure	measure	NOUN
ejpam-7184	3	24	.	.	PUNCT
ejpam-7184	4	1	several	several	ADJ
ejpam-7184	4	2	recurrence	recurrence	NOUN
ejpam-7184	4	3	relations	relation	NOUN
ejpam-7184	4	4	and	and	CCONJ
ejpam-7184	4	5	important	important	ADJ
ejpam-7184	4	6	special	special	ADJ
ejpam-7184	4	7	cases	case	NOUN
ejpam-7184	4	8	are	be	AUX
ejpam-7184	4	9	derived	derive	VERB
ejpam-7184	4	10	,	,	PUNCT
ejpam-7184	4	11	providing	provide	VERB
ejpam-7184	4	12	further	further	ADJ
ejpam-7184	4	13	insights	insight	NOUN
ejpam-7184	4	14	into	into	ADP
ejpam-7184	4	15	the	the	DET
ejpam-7184	4	16	structure	structure	NOUN
ejpam-7184	4	17	of	of	ADP
ejpam-7184	4	18	the	the	DET
ejpam-7184	4	19	model	model	NOUN
ejpam-7184	4	20	.	.	PUNCT
ejpam-7184	5	1	in	in	ADP
ejpam-7184	5	2	addition	addition	NOUN
ejpam-7184	5	3	,	,	PUNCT
ejpam-7184	5	4	we	we	PRON
ejpam-7184	5	5	explore	explore	VERB
ejpam-7184	5	6	the	the	DET
ejpam-7184	5	7	behavior	behavior	NOUN
ejpam-7184	5	8	of	of	ADP
ejpam-7184	5	9	past	past	ADJ
ejpam-7184	5	10	and	and	CCONJ
ejpam-7184	5	11	residual	residual	ADJ
ejpam-7184	5	12	extropies	extropy	NOUN
ejpam-7184	5	13	associated	associate	VERB
ejpam-7184	5	14	with	with	ADP
ejpam-7184	5	15	the	the	DET
ejpam-7184	5	16	model	model	NOUN
ejpam-7184	5	17	,	,	PUNCT
ejpam-7184	5	18	and	and	CCONJ
ejpam-7184	5	19	extend	extend	VERB
ejpam-7184	5	20	the	the	DET
ejpam-7184	5	21	analysis	analysis	NOUN
ejpam-7184	5	22	to	to	PART
ejpam-7184	5	23	include	include	VERB
ejpam-7184	5	24	negative	negative	ADJ
ejpam-7184	5	25	cumulative	cumulative	ADJ
ejpam-7184	5	26	extropy	extropy	NOUN
ejpam-7184	5	27	as	as	ADV
ejpam-7184	5	28	well	well	ADV
ejpam-7184	5	29	as	as	ADP
ejpam-7184	5	30	cumulative	cumulative	ADJ
ejpam-7184	5	31	residual	residual	ADJ
ejpam-7184	5	32	extropy	extropy	NOUN
ejpam-7184	5	33	.	.	PUNCT
ejpam-7184	6	1	to	to	PART
ejpam-7184	6	2	complement	complement	VERB
ejpam-7184	6	3	the	the	DET
ejpam-7184	6	4	theoretical	theoretical	ADJ
ejpam-7184	6	5	findings	finding	NOUN
ejpam-7184	6	6	,	,	PUNCT
ejpam-7184	6	7	a	a	DET
ejpam-7184	6	8	non	non	ADJ
ejpam-7184	6	9	-	-	ADJ
ejpam-7184	6	10	parametric	parametric	ADJ
ejpam-7184	6	11	estimation	estimation	NOUN
ejpam-7184	6	12	procedure	procedure	NOUN
ejpam-7184	6	13	is	be	AUX
ejpam-7184	6	14	developed	develop	VERB
ejpam-7184	6	15	and	and	CCONJ
ejpam-7184	6	16	applied	apply	VERB
ejpam-7184	6	17	to	to	ADP
ejpam-7184	6	18	real	real	ADJ
ejpam-7184	6	19	-	-	PUNCT
ejpam-7184	6	20	world	world	NOUN
ejpam-7184	6	21	saudi	saudi	PROPN
ejpam-7184	6	22	arabia	arabia	PROPN
ejpam-7184	6	23	industrial	industrial	PROPN
ejpam-7184	6	24	data	data	PROPN
ejpam-7184	6	25	,	,	PUNCT
ejpam-7184	6	26	demonstrating	demonstrate	VERB
ejpam-7184	6	27	the	the	DET
ejpam-7184	6	28	practical	practical	ADJ
ejpam-7184	6	29	utility	utility	NOUN
ejpam-7184	6	30	and	and	CCONJ
ejpam-7184	6	31	relevance	relevance	NOUN
ejpam-7184	6	32	of	of	ADP
ejpam-7184	6	33	the	the	DET
ejpam-7184	6	34	proposed	propose	VERB
ejpam-7184	6	35	approach	approach	NOUN
ejpam-7184	6	36	.	.	PUNCT
ejpam-7184	7	1	the	the	DET
ejpam-7184	7	2	results	result	NOUN
ejpam-7184	7	3	indicate	indicate	VERB
ejpam-7184	7	4	that	that	SCONJ
ejpam-7184	7	5	concomitant	concomitant	ADJ
ejpam-7184	7	6	extropy	extropy	NOUN
ejpam-7184	7	7	can	can	AUX
ejpam-7184	7	8	serve	serve	VERB
ejpam-7184	7	9	as	as	ADP
ejpam-7184	7	10	a	a	DET
ejpam-7184	7	11	valuable	valuable	ADJ
ejpam-7184	7	12	tool	tool	NOUN
ejpam-7184	7	13	for	for	ADP
ejpam-7184	7	14	modeling	modeling	NOUN
ejpam-7184	7	15	and	and	CCONJ
ejpam-7184	7	16	analyzing	analyze	VERB
ejpam-7184	7	17	uncertainty	uncertainty	NOUN
ejpam-7184	7	18	in	in	ADP
ejpam-7184	7	19	diverse	diverse	ADJ
ejpam-7184	7	20	applied	apply	VERB
ejpam-7184	7	21	settings	setting	NOUN
ejpam-7184	7	22	.	.	PUNCT
ejpam-7184	8	1	2020	2020	NUM
ejpam-7184	8	2	mathematics	mathematic	NOUN
ejpam-7184	8	3	subject	subject	NOUN
ejpam-7184	8	4	classifications	classification	NOUN
ejpam-7184	8	5	:	:	PUNCT
ejpam-7184	8	6	94a17	94a17	NUM
ejpam-7184	8	7	,	,	PUNCT
ejpam-7184	8	8	62e99	62e99	NUM
ejpam-7184	8	9	,	,	PUNCT
ejpam-7184	8	10	62p30	62p30	NUM
ejpam-7184	8	11	key	key	ADJ
ejpam-7184	8	12	words	word	NOUN
ejpam-7184	8	13	and	and	CCONJ
ejpam-7184	8	14	phrases	phrase	NOUN
ejpam-7184	8	15	:	:	PUNCT
ejpam-7184	8	16	concomitants	concomitant	NOUN
ejpam-7184	8	17	,	,	PUNCT
ejpam-7184	8	18	extropy	extropy	ADV
ejpam-7184	8	19	,	,	PUNCT
ejpam-7184	8	20	generalized	generalized	ADJ
ejpam-7184	8	21	order	order	NOUN
ejpam-7184	8	22	statistics	statistic	NOUN
ejpam-7184	8	23	,	,	PUNCT
ejpam-7184	8	24	non	non	ADJ
ejpam-7184	8	25	-	-	ADJ
ejpam-7184	8	26	parametric	parametric	ADJ
ejpam-7184	8	27	estimation	estimation	NOUN
ejpam-7184	8	28	,	,	PUNCT
ejpam-7184	8	29	saudi	saudi	PROPN
ejpam-7184	8	30	arabia	arabia	PROPN
ejpam-7184	8	31	industrial	industrial	ADJ
ejpam-7184	8	32	data	datum	NOUN
ejpam-7184	8	33	∗corresponding	∗corresponde	VERB
ejpam-7184	8	34	author	author	NOUN
ejpam-7184	8	35	.	.	PUNCT
ejpam-7184	9	1	doi	doi	NOUN
ejpam-7184	9	2	:	:	PUNCT
ejpam-7184	9	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7184	https://doi.org/10.29020/nybg.ejpam.v18i4.7184	VERB
ejpam-7184	9	4	email	email	NOUN
ejpam-7184	9	5	address	address	NOUN
ejpam-7184	9	6	:	:	PUNCT
ejpam-7184	9	7	r.eldallal@psau.edu.sa	r.eldallal@psau.edu.sa	PROPN
ejpam-7184	9	8	(	(	PUNCT
ejpam-7184	9	9	r.	r.	PROPN
ejpam-7184	9	10	a.	a.	PROPN
ejpam-7184	9	11	aldallal	aldallal	PROPN
ejpam-7184	9	12	)	)	PUNCT
ejpam-7184	9	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7184	10	1	1	1	NUM
ejpam-7184	10	2	copyright	copyright	NOUN
ejpam-7184	10	3	:	:	PUNCT
ejpam-7184	10	4	©	©	PROPN
ejpam-7184	10	5	2025	2025	NUM
ejpam-7184	10	6	the	the	DET
ejpam-7184	10	7	author(s	author(s	NOUN
ejpam-7184	10	8	)	)	PUNCT
ejpam-7184	10	9	.	.	PUNCT
ejpam-7184	11	1	(	(	PUNCT
ejpam-7184	11	2	cc	cc	NOUN
ejpam-7184	11	3	by	by	ADP
ejpam-7184	11	4	-	-	PUNCT
ejpam-7184	11	5	nc	nc	PROPN
ejpam-7184	11	6	4.0	4.0	NUM
ejpam-7184	11	7	)	)	PUNCT
ejpam-7184	11	8	m.	m.	NOUN
ejpam-7184	11	9	s.	s.	PROPN
ejpam-7184	11	10	mohamed	mohamed	PROPN
ejpam-7184	11	11	et	et	PROPN
ejpam-7184	11	12	al	al	PROPN
ejpam-7184	11	13	.	.	PUNCT
ejpam-7184	11	14	/	/	SYM
ejpam-7184	11	15	eur	eur	PROPN
ejpam-7184	11	16	.	.	PUNCT
ejpam-7184	12	1	j.	j.	PROPN
ejpam-7184	12	2	pure	pure	PROPN
ejpam-7184	12	3	appl	appl	PROPN
ejpam-7184	12	4	.	.	PROPN
ejpam-7184	12	5	math	math	PROPN
ejpam-7184	12	6	,	,	PUNCT
ejpam-7184	12	7	18	18	NUM
ejpam-7184	12	8	(	(	PUNCT
ejpam-7184	12	9	4	4	NUM
ejpam-7184	12	10	)	)	PUNCT
ejpam-7184	12	11	(	(	PUNCT
ejpam-7184	12	12	2025	2025	NUM
ejpam-7184	12	13	)	)	PUNCT
ejpam-7184	12	14	,	,	PUNCT
ejpam-7184	12	15	7184	7184	NUM
ejpam-7184	12	16	2	2	NUM
ejpam-7184	12	17	of	of	ADP
ejpam-7184	12	18	21	21	NUM
ejpam-7184	12	19	1	1	NUM
ejpam-7184	12	20	.	.	PUNCT
ejpam-7184	13	1	introduction	introduction	NOUN
ejpam-7184	13	2	in	in	ADP
ejpam-7184	13	3	industrial	industrial	ADJ
ejpam-7184	13	4	data	datum	NOUN
ejpam-7184	13	5	analysis	analysis	NOUN
ejpam-7184	13	6	,	,	PUNCT
ejpam-7184	13	7	statistical	statistical	ADJ
ejpam-7184	13	8	entropy	entropy	NOUN
ejpam-7184	13	9	is	be	AUX
ejpam-7184	13	10	essential	essential	ADJ
ejpam-7184	13	11	for	for	ADP
ejpam-7184	13	12	quantifying	quantify	VERB
ejpam-7184	13	13	the	the	DET
ejpam-7184	13	14	degree	degree	NOUN
ejpam-7184	13	15	of	of	ADP
ejpam-7184	13	16	uncertainty	uncertainty	NOUN
ejpam-7184	13	17	,	,	PUNCT
ejpam-7184	13	18	randomness	randomness	NOUN
ejpam-7184	13	19	,	,	PUNCT
ejpam-7184	13	20	or	or	CCONJ
ejpam-7184	13	21	disorder	disorder	NOUN
ejpam-7184	13	22	present	present	ADJ
ejpam-7184	13	23	within	within	ADP
ejpam-7184	13	24	complex	complex	ADJ
ejpam-7184	13	25	datasets	dataset	NOUN
ejpam-7184	13	26	generated	generate	VERB
ejpam-7184	13	27	by	by	ADP
ejpam-7184	13	28	modern	modern	ADJ
ejpam-7184	13	29	industrial	industrial	ADJ
ejpam-7184	13	30	systems	system	NOUN
ejpam-7184	13	31	.	.	PUNCT
ejpam-7184	14	1	as	as	SCONJ
ejpam-7184	14	2	industries	industry	NOUN
ejpam-7184	14	3	increasingly	increasingly	ADV
ejpam-7184	14	4	rely	rely	VERB
ejpam-7184	14	5	on	on	ADP
ejpam-7184	14	6	sensors	sensor	NOUN
ejpam-7184	14	7	,	,	PUNCT
ejpam-7184	14	8	automation	automation	NOUN
ejpam-7184	14	9	,	,	PUNCT
ejpam-7184	14	10	and	and	CCONJ
ejpam-7184	14	11	real	real	ADJ
ejpam-7184	14	12	time	time	NOUN
ejpam-7184	14	13	monitoring	monitoring	NOUN
ejpam-7184	14	14	,	,	PUNCT
ejpam-7184	14	15	the	the	DET
ejpam-7184	14	16	resulting	result	VERB
ejpam-7184	14	17	data	datum	NOUN
ejpam-7184	14	18	streams	stream	NOUN
ejpam-7184	14	19	are	be	AUX
ejpam-7184	14	20	often	often	ADV
ejpam-7184	14	21	vast	vast	ADJ
ejpam-7184	14	22	,	,	PUNCT
ejpam-7184	14	23	multidimensional	multidimensional	ADJ
ejpam-7184	14	24	,	,	PUNCT
ejpam-7184	14	25	and	and	CCONJ
ejpam-7184	14	26	noisy	noisy	ADJ
ejpam-7184	14	27	.	.	PUNCT
ejpam-7184	15	1	traditional	traditional	ADJ
ejpam-7184	15	2	statistical	statistical	ADJ
ejpam-7184	15	3	measures	measure	NOUN
ejpam-7184	15	4	such	such	ADJ
ejpam-7184	15	5	as	as	ADP
ejpam-7184	15	6	variance	variance	NOUN
ejpam-7184	15	7	or	or	CCONJ
ejpam-7184	15	8	mean	mean	VERB
ejpam-7184	15	9	can	can	AUX
ejpam-7184	15	10	not	not	PART
ejpam-7184	15	11	fully	fully	ADV
ejpam-7184	15	12	capture	capture	VERB
ejpam-7184	15	13	the	the	DET
ejpam-7184	15	14	hidden	hide	VERB
ejpam-7184	15	15	patterns	pattern	NOUN
ejpam-7184	15	16	or	or	CCONJ
ejpam-7184	15	17	unpredictability	unpredictability	NOUN
ejpam-7184	15	18	in	in	ADP
ejpam-7184	15	19	such	such	ADJ
ejpam-7184	15	20	data	datum	NOUN
ejpam-7184	15	21	.	.	PUNCT
ejpam-7184	16	1	statistical	statistical	ADJ
ejpam-7184	16	2	entropy	entropy	NOUN
ejpam-7184	16	3	provides	provide	VERB
ejpam-7184	16	4	a	a	DET
ejpam-7184	16	5	powerful	powerful	ADJ
ejpam-7184	16	6	metric	metric	NOUN
ejpam-7184	16	7	to	to	PART
ejpam-7184	16	8	assess	assess	VERB
ejpam-7184	16	9	information	information	NOUN
ejpam-7184	16	10	content	content	NOUN
ejpam-7184	16	11	,	,	PUNCT
ejpam-7184	16	12	detect	detect	NOUN
ejpam-7184	16	13	anomalies	anomaly	NOUN
ejpam-7184	16	14	,	,	PUNCT
ejpam-7184	16	15	and	and	CCONJ
ejpam-7184	16	16	evaluate	evaluate	VERB
ejpam-7184	16	17	system	system	NOUN
ejpam-7184	16	18	efficiency	efficiency	NOUN
ejpam-7184	16	19	or	or	CCONJ
ejpam-7184	16	20	stability	stability	NOUN
ejpam-7184	16	21	.	.	PUNCT
ejpam-7184	17	1	for	for	ADP
ejpam-7184	17	2	instance	instance	NOUN
ejpam-7184	17	3	,	,	PUNCT
ejpam-7184	17	4	in	in	ADP
ejpam-7184	17	5	manufacturing	manufacturing	NOUN
ejpam-7184	17	6	processes	process	NOUN
ejpam-7184	17	7	,	,	PUNCT
ejpam-7184	17	8	higher	high	ADJ
ejpam-7184	17	9	entropy	entropy	NOUN
ejpam-7184	17	10	may	may	AUX
ejpam-7184	17	11	indicate	indicate	VERB
ejpam-7184	17	12	process	process	NOUN
ejpam-7184	17	13	instability	instability	NOUN
ejpam-7184	17	14	or	or	CCONJ
ejpam-7184	17	15	equipment	equipment	NOUN
ejpam-7184	17	16	malfunction	malfunction	NOUN
ejpam-7184	17	17	,	,	PUNCT
ejpam-7184	17	18	while	while	SCONJ
ejpam-7184	17	19	lower	low	ADJ
ejpam-7184	17	20	entropy	entropy	NOUN
ejpam-7184	17	21	could	could	AUX
ejpam-7184	17	22	reflect	reflect	VERB
ejpam-7184	17	23	consistent	consistent	ADJ
ejpam-7184	17	24	and	and	CCONJ
ejpam-7184	17	25	controlled	control	VERB
ejpam-7184	17	26	operations	operation	NOUN
ejpam-7184	17	27	.	.	PUNCT
ejpam-7184	18	1	thus	thus	ADV
ejpam-7184	18	2	,	,	PUNCT
ejpam-7184	18	3	incorporating	incorporate	VERB
ejpam-7184	18	4	entropy	entropy	NOUN
ejpam-7184	18	5	based	base	VERB
ejpam-7184	18	6	measures	measure	NOUN
ejpam-7184	18	7	enables	enable	VERB
ejpam-7184	18	8	industries	industry	NOUN
ejpam-7184	18	9	to	to	PART
ejpam-7184	18	10	enhance	enhance	VERB
ejpam-7184	18	11	predictive	predictive	ADJ
ejpam-7184	18	12	maintenance	maintenance	NOUN
ejpam-7184	18	13	,	,	PUNCT
ejpam-7184	18	14	optimize	optimize	VERB
ejpam-7184	18	15	resource	resource	NOUN
ejpam-7184	18	16	allocation	allocation	NOUN
ejpam-7184	18	17	,	,	PUNCT
ejpam-7184	18	18	and	and	CCONJ
ejpam-7184	18	19	improve	improve	VERB
ejpam-7184	18	20	overall	overall	ADJ
ejpam-7184	18	21	decision	decision	NOUN
ejpam-7184	18	22	making	making	NOUN
ejpam-7184	18	23	in	in	ADP
ejpam-7184	18	24	data	datum	NOUN
ejpam-7184	18	25	driven	drive	VERB
ejpam-7184	18	26	industrial	industrial	ADJ
ejpam-7184	18	27	environments	environment	NOUN
ejpam-7184	18	28	.	.	PUNCT
ejpam-7184	19	1	shannon	shannon	PROPN
ejpam-7184	20	1	[	[	X
ejpam-7184	20	2	1	1	NUM
ejpam-7184	20	3	]	]	PUNCT
ejpam-7184	20	4	was	be	AUX
ejpam-7184	20	5	the	the	DET
ejpam-7184	20	6	first	first	ADJ
ejpam-7184	20	7	to	to	PART
ejpam-7184	20	8	introduce	introduce	VERB
ejpam-7184	20	9	information	information	NOUN
ejpam-7184	20	10	-	-	PUNCT
ejpam-7184	20	11	theoretic	theoretic	NOUN
ejpam-7184	20	12	entropy	entropy	NOUN
ejpam-7184	20	13	,	,	PUNCT
ejpam-7184	20	14	which	which	PRON
ejpam-7184	20	15	has	have	AUX
ejpam-7184	20	16	since	since	ADV
ejpam-7184	20	17	been	be	AUX
ejpam-7184	20	18	applied	apply	VERB
ejpam-7184	20	19	in	in	ADP
ejpam-7184	20	20	a	a	DET
ejpam-7184	20	21	wide	wide	ADJ
ejpam-7184	20	22	range	range	NOUN
ejpam-7184	20	23	of	of	ADP
ejpam-7184	20	24	fields	field	NOUN
ejpam-7184	20	25	,	,	PUNCT
ejpam-7184	20	26	including	include	VERB
ejpam-7184	20	27	computer	computer	NOUN
ejpam-7184	20	28	science	science	NOUN
ejpam-7184	20	29	,	,	PUNCT
ejpam-7184	20	30	medical	medical	ADJ
ejpam-7184	20	31	research	research	NOUN
ejpam-7184	20	32	,	,	PUNCT
ejpam-7184	20	33	and	and	CCONJ
ejpam-7184	20	34	financial	financial	ADJ
ejpam-7184	20	35	analysis	analysis	NOUN
ejpam-7184	20	36	.	.	PUNCT
ejpam-7184	21	1	lad	lad	NOUN
ejpam-7184	21	2	et	et	PROPN
ejpam-7184	21	3	al	al	PROPN
ejpam-7184	21	4	.	.	PUNCT
ejpam-7184	22	1	[	[	X
ejpam-7184	22	2	2	2	X
ejpam-7184	22	3	]	]	PUNCT
ejpam-7184	22	4	showed	show	VERB
ejpam-7184	22	5	that	that	SCONJ
ejpam-7184	22	6	”	"	PUNCT
ejpam-7184	22	7	extropy	extropy	NOUN
ejpam-7184	22	8	”	"	PUNCT
ejpam-7184	22	9	serves	serve	VERB
ejpam-7184	22	10	as	as	ADP
ejpam-7184	22	11	a	a	DET
ejpam-7184	22	12	complementary	complementary	ADJ
ejpam-7184	22	13	dual	dual	ADJ
ejpam-7184	22	14	functional	functional	ADJ
ejpam-7184	22	15	to	to	PART
ejpam-7184	22	16	entropy	entropy	VERB
ejpam-7184	22	17	.	.	PUNCT
ejpam-7184	23	1	for	for	ADP
ejpam-7184	23	2	a	a	DET
ejpam-7184	23	3	non	non	ADJ
ejpam-7184	23	4	-	-	ADJ
ejpam-7184	23	5	negative	negative	ADJ
ejpam-7184	23	6	continuous	continuous	ADJ
ejpam-7184	23	7	random	random	ADJ
ejpam-7184	23	8	variable	variable	NOUN
ejpam-7184	23	9	(	(	PUNCT
ejpam-7184	23	10	r.v	r.v	PROPN
ejpam-7184	23	11	.	.	PROPN
ejpam-7184	23	12	)	)	PUNCT
ejpam-7184	23	13	with	with	ADP
ejpam-7184	23	14	probability	probability	NOUN
ejpam-7184	23	15	density	density	NOUN
ejpam-7184	23	16	function	function	NOUN
ejpam-7184	23	17	(	(	PUNCT
ejpam-7184	23	18	pdf	pdf	NOUN
ejpam-7184	23	19	)	)	PUNCT
ejpam-7184	23	20	g(y	g(y	PROPN
ejpam-7184	23	21	)	)	PUNCT
ejpam-7184	23	22	,	,	PUNCT
ejpam-7184	23	23	the	the	DET
ejpam-7184	23	24	extropy	extropy	NOUN
ejpam-7184	23	25	is	be	AUX
ejpam-7184	23	26	defined	define	VERB
ejpam-7184	23	27	as	as	ADP
ejpam-7184	23	28	:	:	PUNCT
ejpam-7184	23	29	ε(y	ε(y	X
ejpam-7184	23	30	)	)	PUNCT
ejpam-7184	24	1	=	=	PUNCT
ejpam-7184	24	2	−1	−1	NOUN
ejpam-7184	24	3	2	2	NUM
ejpam-7184	24	4	∫	∫	NOUN
ejpam-7184	24	5	∞	∞	NUM
ejpam-7184	24	6	0	0	NUM
ejpam-7184	24	7	g2(y)dy	g2(y)dy	NOUN
ejpam-7184	24	8	.	.	PUNCT
ejpam-7184	25	1	(	(	PUNCT
ejpam-7184	25	2	1.1	1.1	NUM
ejpam-7184	25	3	)	)	PUNCT
ejpam-7184	25	4	extropy	extropy	NOUN
ejpam-7184	25	5	was	be	AUX
ejpam-7184	25	6	explored	explore	VERB
ejpam-7184	25	7	for	for	ADP
ejpam-7184	25	8	order	order	NOUN
ejpam-7184	25	9	statistics	statistic	NOUN
ejpam-7184	25	10	(	(	PUNCT
ejpam-7184	25	11	os	os	NOUN
ejpam-7184	25	12	)	)	PUNCT
ejpam-7184	25	13	,	,	PUNCT
ejpam-7184	25	14	record	record	NOUN
ejpam-7184	25	15	values	value	NOUN
ejpam-7184	25	16	,	,	PUNCT
ejpam-7184	25	17	and	and	CCONJ
ejpam-7184	25	18	some	some	DET
ejpam-7184	25	19	features	feature	NOUN
ejpam-7184	25	20	by	by	ADP
ejpam-7184	25	21	qiu	qiu	PROPN
ejpam-7184	26	1	[	[	X
ejpam-7184	26	2	3	3	NUM
ejpam-7184	26	3	]	]	PUNCT
ejpam-7184	26	4	.	.	PUNCT
ejpam-7184	27	1	through	through	ADP
ejpam-7184	27	2	the	the	DET
ejpam-7184	27	3	use	use	NOUN
ejpam-7184	27	4	of	of	ADP
ejpam-7184	27	5	extropy	extropy	NOUN
ejpam-7184	27	6	,	,	PUNCT
ejpam-7184	27	7	qiu	qiu	PROPN
ejpam-7184	27	8	et	et	PROPN
ejpam-7184	27	9	al	al	PROPN
ejpam-7184	27	10	.	.	PUNCT
ejpam-7184	28	1	[	[	X
ejpam-7184	28	2	4	4	X
ejpam-7184	28	3	]	]	PUNCT
ejpam-7184	28	4	introduced	introduce	VERB
ejpam-7184	28	5	a	a	DET
ejpam-7184	28	6	mixed	mixed	ADJ
ejpam-7184	28	7	systems	system	NOUN
ejpam-7184	28	8	lifetime	lifetime	NOUN
ejpam-7184	28	9	and	and	CCONJ
ejpam-7184	28	10	derived	derive	VERB
ejpam-7184	28	11	its	its	PRON
ejpam-7184	28	12	properties	property	NOUN
ejpam-7184	28	13	and	and	CCONJ
ejpam-7184	28	14	limit	limit	NOUN
ejpam-7184	28	15	of	of	ADP
ejpam-7184	28	16	it	it	PRON
ejpam-7184	28	17	.	.	PUNCT
ejpam-7184	29	1	for	for	ADP
ejpam-7184	29	2	additional	additional	ADJ
ejpam-7184	29	3	research	research	NOUN
ejpam-7184	29	4	on	on	ADP
ejpam-7184	29	5	extropy	extropy	NOUN
ejpam-7184	29	6	,	,	PUNCT
ejpam-7184	29	7	see	see	VERB
ejpam-7184	29	8	yang	yang	PROPN
ejpam-7184	29	9	et	et	PROPN
ejpam-7184	29	10	al	al	PROPN
ejpam-7184	29	11	.	.	PUNCT
ejpam-7184	30	1	[	[	X
ejpam-7184	30	2	5	5	NUM
ejpam-7184	30	3	]	]	PUNCT
ejpam-7184	30	4	,	,	PUNCT
ejpam-7184	30	5	noughabi	noughabi	PROPN
ejpam-7184	30	6	and	and	CCONJ
ejpam-7184	30	7	jarrahiferiz	jarrahiferiz	NOUN
ejpam-7184	30	8	[	[	X
ejpam-7184	30	9	6	6	NUM
ejpam-7184	30	10	]	]	PUNCT
ejpam-7184	30	11	,	,	PUNCT
ejpam-7184	30	12	raqab	raqab	NOUN
ejpam-7184	30	13	and	and	CCONJ
ejpam-7184	30	14	qiu	qiu	NOUN
ejpam-7184	31	1	[	[	X
ejpam-7184	31	2	7	7	NUM
ejpam-7184	31	3	]	]	PUNCT
ejpam-7184	31	4	,	,	PUNCT
ejpam-7184	31	5	lad	lad	INTJ
ejpam-7184	31	6	et	et	NOUN
ejpam-7184	31	7	al	al	PROPN
ejpam-7184	31	8	.	.	PUNCT
ejpam-7184	32	1	[	[	X
ejpam-7184	32	2	8	8	NUM
ejpam-7184	32	3	]	]	PUNCT
ejpam-7184	32	4	,	,	PUNCT
ejpam-7184	32	5	and	and	CCONJ
ejpam-7184	32	6	qiu	qiu	PROPN
ejpam-7184	32	7	and	and	CCONJ
ejpam-7184	32	8	jia	jia	PROPN
ejpam-7184	33	1	[	[	X
ejpam-7184	33	2	9	9	NUM
ejpam-7184	33	3	]	]	PUNCT
ejpam-7184	33	4	.	.	PUNCT
ejpam-7184	34	1	qiu	qiu	PROPN
ejpam-7184	34	2	and	and	CCONJ
ejpam-7184	34	3	jia	jia	PROPN
ejpam-7184	35	1	[	[	X
ejpam-7184	35	2	10	10	NUM
ejpam-7184	35	3	]	]	PUNCT
ejpam-7184	35	4	also	also	ADV
ejpam-7184	35	5	looked	look	VERB
ejpam-7184	35	6	into	into	ADP
ejpam-7184	35	7	the	the	DET
ejpam-7184	35	8	meaning	meaning	NOUN
ejpam-7184	35	9	of	of	ADP
ejpam-7184	35	10	residual	residual	ADJ
ejpam-7184	35	11	extropy	extropy	NOUN
ejpam-7184	35	12	for	for	ADP
ejpam-7184	35	13	a	a	DET
ejpam-7184	35	14	non	non	ADJ
ejpam-7184	35	15	-	-	ADJ
ejpam-7184	35	16	negative	negative	ADJ
ejpam-7184	35	17	r.v	r.v	PROPN
ejpam-7184	35	18	.	.	PROPN
ejpam-7184	35	19	as	as	ADP
ejpam-7184	35	20	εt(y	εt(y	NUM
ejpam-7184	35	21	)	)	PUNCT
ejpam-7184	36	1	=	=	PUNCT
ejpam-7184	36	2	εr(y	εr(y	VERB
ejpam-7184	36	3	;	;	PUNCT
ejpam-7184	36	4	t	t	X
ejpam-7184	36	5	)	)	PUNCT
ejpam-7184	36	6	=	=	SYM
ejpam-7184	36	7	−1	−1	NOUN
ejpam-7184	36	8	2ḡ2(t	2ḡ2(t	NUM
ejpam-7184	36	9	)	)	PUNCT
ejpam-7184	36	10	∫	∫	PROPN
ejpam-7184	37	1	∞	∞	PROPN
ejpam-7184	37	2	t	t	PROPN
ejpam-7184	37	3	g2(y)dy	g2(y)dy	NOUN
ejpam-7184	37	4	,	,	PUNCT
ejpam-7184	37	5	t	t	PROPN
ejpam-7184	37	6	≥	≥	NUM
ejpam-7184	37	7	0	0	NUM
ejpam-7184	37	8	,	,	PUNCT
ejpam-7184	37	9	(	(	PUNCT
ejpam-7184	37	10	1.2	1.2	NUM
ejpam-7184	37	11	)	)	PUNCT
ejpam-7184	37	12	where	where	SCONJ
ejpam-7184	37	13	ḡ(t	ḡ(t	ADJ
ejpam-7184	37	14	)	)	PUNCT
ejpam-7184	37	15	=	=	SYM
ejpam-7184	37	16	1−g(t	1−g(t	NUM
ejpam-7184	37	17	)	)	PUNCT
ejpam-7184	37	18	,	,	PUNCT
ejpam-7184	37	19	g(t	g(t	PROPN
ejpam-7184	37	20	)	)	PUNCT
ejpam-7184	37	21	is	be	AUX
ejpam-7184	37	22	the	the	DET
ejpam-7184	37	23	cumulative	cumulative	ADJ
ejpam-7184	37	24	distribution	distribution	NOUN
ejpam-7184	37	25	function	function	NOUN
ejpam-7184	37	26	(	(	PUNCT
ejpam-7184	37	27	cdf	cdf	PROPN
ejpam-7184	37	28	)	)	PUNCT
ejpam-7184	37	29	.	.	PUNCT
ejpam-7184	38	1	for	for	ADP
ejpam-7184	38	2	the	the	DET
ejpam-7184	38	3	past	past	ADJ
ejpam-7184	38	4	lifetime	lifetime	NOUN
ejpam-7184	38	5	of	of	ADP
ejpam-7184	38	6	r.v	r.v	PROPN
ejpam-7184	38	7	.	.	PROPN
ejpam-7184	38	8	yt	yt	PROPN
ejpam-7184	38	9	=	=	PUNCT
ejpam-7184	39	1	[	[	X
ejpam-7184	39	2	t−y	t−y	X
ejpam-7184	39	3	|y	|y	VERB
ejpam-7184	39	4	≤	≤	PUNCT
ejpam-7184	39	5	t	t	PROPN
ejpam-7184	39	6	]	]	PUNCT
ejpam-7184	39	7	,	,	PUNCT
ejpam-7184	39	8	krishnan	krishnan	PROPN
ejpam-7184	39	9	et	et	PROPN
ejpam-7184	39	10	al	al	PROPN
ejpam-7184	39	11	.	.	PUNCT
ejpam-7184	40	1	[	[	X
ejpam-7184	40	2	11	11	NUM
ejpam-7184	40	3	]	]	PUNCT
ejpam-7184	40	4	provided	provide	VERB
ejpam-7184	40	5	the	the	DET
ejpam-7184	40	6	past	past	ADJ
ejpam-7184	40	7	extropy	extropy	NOUN
ejpam-7184	40	8	as	as	SCONJ
ejpam-7184	40	9	follows	follow	VERB
ejpam-7184	40	10	εt(y	εt(y	NUM
ejpam-7184	40	11	)	)	PUNCT
ejpam-7184	41	1	=	=	SYM
ejpam-7184	41	2	εp	εp	PROPN
ejpam-7184	41	3	(	(	PUNCT
ejpam-7184	41	4	y	y	PROPN
ejpam-7184	41	5	;	;	PUNCT
ejpam-7184	41	6	t	t	PROPN
ejpam-7184	41	7	)	)	PUNCT
ejpam-7184	41	8	=	=	SYM
ejpam-7184	41	9	−1	−1	NOUN
ejpam-7184	41	10	2g2(t	2g2(t	NUM
ejpam-7184	41	11	)	)	PUNCT
ejpam-7184	41	12	∫	∫	PROPN
ejpam-7184	42	1	t	t	NOUN
ejpam-7184	42	2	0	0	NUM
ejpam-7184	42	3	g2(y)dy	g2(y)dy	NOUN
ejpam-7184	42	4	.	.	PUNCT
ejpam-7184	43	1	(	(	PUNCT
ejpam-7184	43	2	1.3	1.3	NUM
ejpam-7184	43	3	)	)	PUNCT
ejpam-7184	43	4	from	from	ADP
ejpam-7184	43	5	any	any	DET
ejpam-7184	43	6	continuous	continuous	ADJ
ejpam-7184	43	7	distribution	distribution	NOUN
ejpam-7184	43	8	,	,	PUNCT
ejpam-7184	43	9	jose	jose	PROPN
ejpam-7184	43	10	and	and	CCONJ
ejpam-7184	43	11	sathar	sathar	NOUN
ejpam-7184	44	1	[	[	X
ejpam-7184	44	2	[	[	X
ejpam-7184	44	3	12	12	NUM
ejpam-7184	44	4	]	]	PUNCT
ejpam-7184	44	5	,	,	PUNCT
ejpam-7184	44	6	[	[	X
ejpam-7184	44	7	13	13	NUM
ejpam-7184	44	8	]	]	X
ejpam-7184	44	9	]	]	PUNCT
ejpam-7184	44	10	used	use	VERB
ejpam-7184	44	11	the	the	DET
ejpam-7184	44	12	k	k	NOUN
ejpam-7184	44	13	-	-	PUNCT
ejpam-7184	44	14	records	record	NOUN
ejpam-7184	44	15	’	'	PUNCT
ejpam-7184	44	16	residual	residual	ADJ
ejpam-7184	44	17	and	and	CCONJ
ejpam-7184	44	18	past	past	ADJ
ejpam-7184	44	19	extropies	extropy	NOUN
ejpam-7184	44	20	.	.	PUNCT
ejpam-7184	45	1	cumulative	cumulative	ADJ
ejpam-7184	45	2	residual	residual	ADJ
ejpam-7184	45	3	extropy	extropy	NOUN
ejpam-7184	45	4	(	(	PUNCT
ejpam-7184	45	5	crex	crex	NOUN
ejpam-7184	45	6	)	)	PUNCT
ejpam-7184	45	7	was	be	AUX
ejpam-7184	45	8	proposed	propose	VERB
ejpam-7184	45	9	by	by	ADP
ejpam-7184	45	10	jahanshahi	jahanshahi	PROPN
ejpam-7184	45	11	et	et	PROPN
ejpam-7184	45	12	m.	m.	PROPN
ejpam-7184	45	13	s.	s.	PROPN
ejpam-7184	45	14	mohamed	mohamed	PROPN
ejpam-7184	45	15	et	et	PROPN
ejpam-7184	45	16	al	al	PROPN
ejpam-7184	45	17	.	.	PUNCT
ejpam-7184	45	18	/	/	SYM
ejpam-7184	45	19	eur	eur	PROPN
ejpam-7184	45	20	.	.	PUNCT
ejpam-7184	46	1	j.	j.	PROPN
ejpam-7184	46	2	pure	pure	PROPN
ejpam-7184	46	3	appl	appl	PROPN
ejpam-7184	46	4	.	.	PROPN
ejpam-7184	46	5	math	math	PROPN
ejpam-7184	46	6	,	,	PUNCT
ejpam-7184	46	7	18	18	NUM
ejpam-7184	46	8	(	(	PUNCT
ejpam-7184	46	9	4	4	NUM
ejpam-7184	46	10	)	)	PUNCT
ejpam-7184	46	11	(	(	PUNCT
ejpam-7184	46	12	2025	2025	NUM
ejpam-7184	46	13	)	)	PUNCT
ejpam-7184	46	14	,	,	PUNCT
ejpam-7184	46	15	7184	7184	NUM
ejpam-7184	46	16	3	3	NUM
ejpam-7184	46	17	of	of	ADP
ejpam-7184	46	18	21	21	NUM
ejpam-7184	46	19	al	al	PROPN
ejpam-7184	46	20	.	.	PUNCT
ejpam-7184	47	1	[	[	X
ejpam-7184	47	2	14	14	NUM
ejpam-7184	47	3	]	]	PUNCT
ejpam-7184	47	4	.	.	PUNCT
ejpam-7184	48	1	the	the	DET
ejpam-7184	48	2	crex	crex	PROPN
ejpam-7184	48	3	is	be	AUX
ejpam-7184	48	4	provided	provide	VERB
ejpam-7184	48	5	by	by	ADP
ejpam-7184	48	6	a	a	DET
ejpam-7184	48	7	non	non	ADJ
ejpam-7184	48	8	-	-	ADJ
ejpam-7184	48	9	negative	negative	ADJ
ejpam-7184	48	10	r.v	r.v	PROPN
ejpam-7184	48	11	.	.	PUNCT
ejpam-7184	49	1	y	y	PROPN
ejpam-7184	49	2	possessing	possess	VERB
ejpam-7184	49	3	a	a	DET
ejpam-7184	49	4	survival	survival	NOUN
ejpam-7184	49	5	function	function	NOUN
ejpam-7184	49	6	ḡ	ḡ	VERB
ejpam-7184	49	7	as	as	SCONJ
ejpam-7184	49	8	follows	follow	VERB
ejpam-7184	49	9	ξ(y	ξ(y	PROPN
ejpam-7184	49	10	)	)	PUNCT
ejpam-7184	50	1	=	=	PUNCT
ejpam-7184	50	2	−1	−1	NOUN
ejpam-7184	50	3	2	2	NUM
ejpam-7184	50	4	∫	∫	NOUN
ejpam-7184	50	5	∞	∞	NOUN
ejpam-7184	50	6	0	0	NUM
ejpam-7184	50	7	ḡ2(y)dy	ḡ2(y)dy	X
ejpam-7184	50	8	.	.	PUNCT
ejpam-7184	51	1	(	(	PUNCT
ejpam-7184	51	2	1.4	1.4	NUM
ejpam-7184	51	3	)	)	PUNCT
ejpam-7184	51	4	jahanshahi	jahanshahi	NOUN
ejpam-7184	51	5	et	et	PROPN
ejpam-7184	51	6	al	al	PROPN
ejpam-7184	51	7	.	.	PUNCT
ejpam-7184	52	1	[	[	X
ejpam-7184	52	2	14	14	NUM
ejpam-7184	52	3	]	]	PUNCT
ejpam-7184	52	4	showed	show	VERB
ejpam-7184	52	5	that	that	SCONJ
ejpam-7184	52	6	ζ(y	ζ(y	PROPN
ejpam-7184	52	7	)	)	PUNCT
ejpam-7184	52	8	is	be	AUX
ejpam-7184	52	9	always	always	ADV
ejpam-7184	52	10	negative	negative	ADJ
ejpam-7184	52	11	.	.	PUNCT
ejpam-7184	53	1	tahmasebi	tahmasebi	VERB
ejpam-7184	53	2	and	and	CCONJ
ejpam-7184	53	3	toomaj	toomaj	VERB
ejpam-7184	53	4	[	[	X
ejpam-7184	53	5	15	15	NUM
ejpam-7184	53	6	]	]	PUNCT
ejpam-7184	53	7	recently	recently	ADV
ejpam-7184	53	8	proposed	propose	VERB
ejpam-7184	53	9	negative	negative	ADJ
ejpam-7184	53	10	cumulative	cumulative	ADJ
ejpam-7184	53	11	extropy	extropy	NOUN
ejpam-7184	53	12	(	(	PUNCT
ejpam-7184	53	13	ncex	ncex	PROPN
ejpam-7184	53	14	)	)	PUNCT
ejpam-7184	53	15	,	,	PUNCT
ejpam-7184	53	16	which	which	PRON
ejpam-7184	53	17	is	be	AUX
ejpam-7184	53	18	comparable	comparable	ADJ
ejpam-7184	53	19	to	to	ADP
ejpam-7184	53	20	(	(	PUNCT
ejpam-7184	53	21	1.1	1.1	NUM
ejpam-7184	53	22	)	)	PUNCT
ejpam-7184	53	23	and	and	CCONJ
ejpam-7184	53	24	is	be	AUX
ejpam-7184	53	25	described	describe	VERB
ejpam-7184	53	26	as	as	ADP
ejpam-7184	53	27	ξ∗(y	ξ∗(y	PROPN
ejpam-7184	53	28	)	)	PUNCT
ejpam-7184	54	1	=	=	SYM
ejpam-7184	55	1	1	1	NUM
ejpam-7184	55	2	2	2	NUM
ejpam-7184	55	3	∫	∫	NOUN
ejpam-7184	55	4	∞	∞	NOUN
ejpam-7184	55	5	0	0	NUM
ejpam-7184	55	6	(	(	PUNCT
ejpam-7184	55	7	1−g2(y))dy	1−g2(y))dy	NUM
ejpam-7184	55	8	.	.	PUNCT
ejpam-7184	55	9	(	(	PUNCT
ejpam-7184	55	10	1.5	1.5	NUM
ejpam-7184	55	11	)	)	PUNCT
ejpam-7184	55	12	the	the	DET
ejpam-7184	55	13	farlie	farlie	PROPN
ejpam-7184	55	14	-	-	PUNCT
ejpam-7184	55	15	gumbel	gumbel	PROPN
ejpam-7184	55	16	-	-	PUNCT
ejpam-7184	55	17	morgenstern	morgenstern	PROPN
ejpam-7184	55	18	family	family	PROPN
ejpam-7184	55	19	(	(	PUNCT
ejpam-7184	55	20	fgm	fgm	PROPN
ejpam-7184	55	21	)	)	PUNCT
ejpam-7184	55	22	is	be	AUX
ejpam-7184	55	23	described	describe	VERB
ejpam-7184	55	24	by	by	ADP
ejpam-7184	55	25	a	a	DET
ejpam-7184	55	26	parameter	parameter	NOUN
ejpam-7184	55	27	δ	δ	PROPN
ejpam-7184	55	28	,	,	PUNCT
ejpam-7184	55	29	and	and	CCONJ
ejpam-7184	55	30	the	the	DET
ejpam-7184	55	31	marginal	marginal	ADJ
ejpam-7184	55	32	distribution	distribution	NOUN
ejpam-7184	55	33	functionsgx(x	functionsgx(x	NOUN
ejpam-7184	55	34	)	)	PUNCT
ejpam-7184	55	35	andgy	andgy	PROPN
ejpam-7184	55	36	(	(	PUNCT
ejpam-7184	55	37	y	y	NOUN
ejpam-7184	55	38	)	)	PUNCT
ejpam-7184	55	39	,	,	PUNCT
ejpam-7184	55	40	it	it	PRON
ejpam-7184	55	41	was	be	AUX
ejpam-7184	55	42	primarily	primarily	ADV
ejpam-7184	55	43	derived	derive	VERB
ejpam-7184	55	44	by	by	ADP
ejpam-7184	55	45	morgenstern	morgenstern	PROPN
ejpam-7184	56	1	[	[	X
ejpam-7184	56	2	16	16	NUM
ejpam-7184	56	3	]	]	PUNCT
ejpam-7184	56	4	.	.	PUNCT
ejpam-7184	57	1	by	by	ADP
ejpam-7184	57	2	adding	add	VERB
ejpam-7184	57	3	further	further	ADJ
ejpam-7184	57	4	parameters	parameter	NOUN
ejpam-7184	57	5	,	,	PUNCT
ejpam-7184	57	6	lai	lai	PROPN
ejpam-7184	57	7	and	and	CCONJ
ejpam-7184	57	8	xie	xie	PROPN
ejpam-7184	58	1	[	[	X
ejpam-7184	58	2	17	17	NUM
ejpam-7184	58	3	]	]	PUNCT
ejpam-7184	58	4	suggested	suggest	VERB
ejpam-7184	58	5	the	the	DET
ejpam-7184	58	6	cdf	cdf	PROPN
ejpam-7184	58	7	as	as	ADP
ejpam-7184	58	8	g(x	g(x	PROPN
ejpam-7184	58	9	,	,	PUNCT
ejpam-7184	58	10	y	y	NOUN
ejpam-7184	58	11	)	)	PUNCT
ejpam-7184	58	12	=	=	SYM
ejpam-7184	58	13	gx(x)gy	gx(x)gy	NOUN
ejpam-7184	58	14	(	(	PUNCT
ejpam-7184	58	15	y	y	NOUN
ejpam-7184	58	16	)	)	PUNCT
ejpam-7184	58	17	+	+	CCONJ
ejpam-7184	58	18	δḡx(x)αḡy	δḡx(x)αḡy	NOUN
ejpam-7184	58	19	(	(	PUNCT
ejpam-7184	58	20	y	y	NOUN
ejpam-7184	58	21	)	)	PUNCT
ejpam-7184	58	22	αgx(x)λgy	αgx(x)λgy	PROPN
ejpam-7184	58	23	(	(	PUNCT
ejpam-7184	58	24	y	y	NOUN
ejpam-7184	58	25	)	)	PUNCT
ejpam-7184	58	26	λ	λ	PROPN
ejpam-7184	58	27	,	,	PUNCT
ejpam-7184	58	28	α	α	X
ejpam-7184	58	29	,	,	PUNCT
ejpam-7184	58	30	λ	λ	X
ejpam-7184	58	31	≥	≥	NOUN
ejpam-7184	58	32	1	1	NUM
ejpam-7184	58	33	,	,	PUNCT
ejpam-7184	58	34	(	(	PUNCT
ejpam-7184	58	35	1.6	1.6	NUM
ejpam-7184	58	36	)	)	PUNCT
ejpam-7184	58	37	for	for	ADP
ejpam-7184	58	38	0≤	0≤	NUM
ejpam-7184	58	39	δ	δ	PROPN
ejpam-7184	58	40	≤	≤	ADV
ejpam-7184	58	41	1	1	NUM
ejpam-7184	58	42	.	.	PUNCT
ejpam-7184	59	1	the	the	DET
ejpam-7184	59	2	related	related	ADJ
ejpam-7184	59	3	pdf	pdf	NOUN
ejpam-7184	59	4	is	be	AUX
ejpam-7184	59	5	g(x	g(x	PROPN
ejpam-7184	59	6	,	,	PUNCT
ejpam-7184	59	7	y	y	NOUN
ejpam-7184	59	8	)	)	PUNCT
ejpam-7184	59	9	=	=	SYM
ejpam-7184	59	10	gx(x)gy	gx(x)gy	NOUN
ejpam-7184	59	11	(	(	PUNCT
ejpam-7184	59	12	y)(1	y)(1	X
ejpam-7184	59	13	+	+	CCONJ
ejpam-7184	59	14	δḡx(x)α−1ḡy	δḡx(x)α−1ḡy	PROPN
ejpam-7184	59	15	(	(	PUNCT
ejpam-7184	59	16	y	y	NOUN
ejpam-7184	59	17	)	)	PUNCT
ejpam-7184	59	18	α−1gx(x)λ−1gy	α−1gx(x)λ−1gy	PROPN
ejpam-7184	59	19	(	(	PUNCT
ejpam-7184	59	20	y	y	NOUN
ejpam-7184	59	21	)	)	PUNCT
ejpam-7184	60	1	λ−1	λ−1	PROPN
ejpam-7184	61	1	[	[	X
ejpam-7184	61	2	λ−	λ−	PROPN
ejpam-7184	61	3	(	(	PUNCT
ejpam-7184	61	4	α+	α+	NOUN
ejpam-7184	61	5	λ)gx(x)][λ−	λ)gx(x)][λ−	PUNCT
ejpam-7184	61	6	(	(	PUNCT
ejpam-7184	61	7	α+	α+	X
ejpam-7184	61	8	λ)gy	λ)gy	PROPN
ejpam-7184	61	9	(	(	PUNCT
ejpam-7184	61	10	y	y	NOUN
ejpam-7184	61	11	)	)	PUNCT
ejpam-7184	61	12	]	]	PUNCT
ejpam-7184	61	13	)	)	PUNCT
ejpam-7184	61	14	.	.	PUNCT
ejpam-7184	62	1	(	(	PUNCT
ejpam-7184	62	2	1.7	1.7	NUM
ejpam-7184	62	3	)	)	PUNCT
ejpam-7184	62	4	according	accord	VERB
ejpam-7184	62	5	to	to	AUX
ejpam-7184	62	6	bairamov	bairamov	ADJ
ejpam-7184	62	7	and	and	CCONJ
ejpam-7184	62	8	kotz	kotz	PROPN
ejpam-7184	63	1	[	[	X
ejpam-7184	63	2	18	18	NUM
ejpam-7184	63	3	]	]	PUNCT
ejpam-7184	63	4	,	,	PUNCT
ejpam-7184	63	5	a	a	DET
ejpam-7184	63	6	bivariate	bivariate	ADJ
ejpam-7184	63	7	copula	copula	NOUN
ejpam-7184	63	8	for	for	ADP
ejpam-7184	63	9	δ	δ	PROPN
ejpam-7184	63	10	satisfies	satisfy	VERB
ejpam-7184	63	11	a	a	DET
ejpam-7184	63	12	broader	broad	ADJ
ejpam-7184	63	13	range	range	NOUN
ejpam-7184	63	14	of	of	ADP
ejpam-7184	63	15	conditions	condition	NOUN
ejpam-7184	63	16	where	where	SCONJ
ejpam-7184	63	17	:	:	PUNCT
ejpam-7184	63	18	min	min	X
ejpam-7184	63	19	{	{	PUNCT
ejpam-7184	63	20	1	1	NUM
ejpam-7184	63	21	[	[	X
ejpam-7184	63	22	k+(α	k+(α	X
ejpam-7184	63	23	,	,	PUNCT
ejpam-7184	63	24	λ)]2	λ)]2	PRON
ejpam-7184	63	25	,	,	PUNCT
ejpam-7184	63	26	1	1	NUM
ejpam-7184	63	27	[	[	X
ejpam-7184	63	28	k−(α	k−(α	X
ejpam-7184	63	29	,	,	PUNCT
ejpam-7184	63	30	λ)]2	λ)]2	X
ejpam-7184	63	31	}	}	PUNCT
ejpam-7184	63	32	≤	≤	NUM
ejpam-7184	63	33	δ	δ	PROPN
ejpam-7184	63	34	≤	≤	ADV
ejpam-7184	63	35	1	1	NUM
ejpam-7184	63	36	k+(α	k+(α	NOUN
ejpam-7184	63	37	,	,	PUNCT
ejpam-7184	63	38	λ)k−(α	λ)k−(α	NOUN
ejpam-7184	63	39	,	,	PUNCT
ejpam-7184	63	40	λ	λ	NOUN
ejpam-7184	63	41	)	)	PUNCT
ejpam-7184	63	42	,	,	PUNCT
ejpam-7184	63	43	with	with	ADP
ejpam-7184	63	44	noting	note	VERB
ejpam-7184	63	45	that	that	SCONJ
ejpam-7184	63	46	k+	k+	NOUN
ejpam-7184	63	47	and	and	CCONJ
ejpam-7184	63	48	k−	k−	PROPN
ejpam-7184	63	49	are	be	AUX
ejpam-7184	63	50	functions	function	NOUN
ejpam-7184	63	51	of	of	ADP
ejpam-7184	63	52	α	α	NOUN
ejpam-7184	63	53	and	and	CCONJ
ejpam-7184	63	54	λ	λ	NOUN
ejpam-7184	63	55	.	.	PUNCT
ejpam-7184	64	1	furthermore	furthermore	ADV
ejpam-7184	64	2	,	,	PUNCT
ejpam-7184	64	3	the	the	DET
ejpam-7184	64	4	conditional	conditional	ADJ
ejpam-7184	64	5	cdf	cdf	PROPN
ejpam-7184	64	6	and	and	CCONJ
ejpam-7184	64	7	pdf	pdf	NOUN
ejpam-7184	64	8	are	be	AUX
ejpam-7184	64	9	:	:	PUNCT
ejpam-7184	64	10	gy	gy	X
ejpam-7184	64	11	|x(y	|x(y	PROPN
ejpam-7184	64	12	|	|	ADV
ejpam-7184	64	13	x	x	NOUN
ejpam-7184	64	14	)	)	PUNCT
ejpam-7184	64	15	=	=	SYM
ejpam-7184	64	16	gy	gy	INTJ
ejpam-7184	64	17	(	(	PUNCT
ejpam-7184	64	18	y	y	NOUN
ejpam-7184	64	19	)	)	PUNCT
ejpam-7184	65	1	+	+	CCONJ
ejpam-7184	65	2	δḡx(x)αḡy	δḡx(x)αḡy	NOUN
ejpam-7184	65	3	(	(	PUNCT
ejpam-7184	65	4	y	y	NOUN
ejpam-7184	65	5	)	)	PUNCT
ejpam-7184	65	6	αgx(x)λ−1gy	αgx(x)λ−1gy	NOUN
ejpam-7184	65	7	(	(	PUNCT
ejpam-7184	65	8	y	y	NOUN
ejpam-7184	65	9	)	)	PUNCT
ejpam-7184	65	10	λ	λ	PROPN
ejpam-7184	65	11	,	,	PUNCT
ejpam-7184	65	12	α	α	X
ejpam-7184	65	13	,	,	PUNCT
ejpam-7184	65	14	λ	λ	X
ejpam-7184	65	15	≥	≥	NOUN
ejpam-7184	65	16	1	1	NUM
ejpam-7184	65	17	,	,	PUNCT
ejpam-7184	65	18	(	(	PUNCT
ejpam-7184	65	19	1.8	1.8	NUM
ejpam-7184	65	20	)	)	PUNCT
ejpam-7184	65	21	gy	gy	NOUN
ejpam-7184	65	22	|x(y	|x(y	PROPN
ejpam-7184	65	23	|	|	ADV
ejpam-7184	65	24	x	x	NOUN
ejpam-7184	65	25	)	)	PUNCT
ejpam-7184	65	26	=	=	SYM
ejpam-7184	65	27	gy	gy	INTJ
ejpam-7184	65	28	(	(	PUNCT
ejpam-7184	65	29	y)(1	y)(1	X
ejpam-7184	65	30	+	+	CCONJ
ejpam-7184	65	31	δḡx(x)α−1ḡy	δḡx(x)α−1ḡy	PROPN
ejpam-7184	65	32	(	(	PUNCT
ejpam-7184	65	33	y	y	NOUN
ejpam-7184	65	34	)	)	PUNCT
ejpam-7184	65	35	α−1gx(x)λ−1gy	α−1gx(x)λ−1gy	PROPN
ejpam-7184	65	36	(	(	PUNCT
ejpam-7184	65	37	y	y	NOUN
ejpam-7184	65	38	)	)	PUNCT
ejpam-7184	66	1	λ−1	λ−1	PRON
ejpam-7184	66	2	×	×	NOUN
ejpam-7184	67	1	[	[	X
ejpam-7184	67	2	λ−	λ−	PROPN
ejpam-7184	67	3	(	(	PUNCT
ejpam-7184	67	4	α+	α+	NOUN
ejpam-7184	67	5	λ)gx(x)][λ−	λ)gx(x)][λ−	PUNCT
ejpam-7184	67	6	(	(	PUNCT
ejpam-7184	67	7	α+	α+	X
ejpam-7184	67	8	λ)gy	λ)gy	PROPN
ejpam-7184	67	9	(	(	PUNCT
ejpam-7184	67	10	y	y	NOUN
ejpam-7184	67	11	)	)	PUNCT
ejpam-7184	67	12	]	]	PUNCT
ejpam-7184	67	13	)	)	PUNCT
ejpam-7184	67	14	.	.	PUNCT
ejpam-7184	68	1	(	(	PUNCT
ejpam-7184	68	2	1.9	1.9	NUM
ejpam-7184	68	3	)	)	PUNCT
ejpam-7184	68	4	kamps	kamps	PROPN
ejpam-7184	69	1	[	[	X
ejpam-7184	69	2	19	19	NUM
ejpam-7184	69	3	]	]	PUNCT
ejpam-7184	69	4	introduced	introduce	VERB
ejpam-7184	69	5	the	the	DET
ejpam-7184	69	6	concept	concept	NOUN
ejpam-7184	69	7	of	of	ADP
ejpam-7184	69	8	generalized	generalized	ADJ
ejpam-7184	69	9	order	order	NOUN
ejpam-7184	69	10	statistics	statistic	NOUN
ejpam-7184	69	11	,	,	PUNCT
ejpam-7184	69	12	with	with	ADP
ejpam-7184	69	13	the	the	DET
ejpam-7184	69	14	special	special	ADJ
ejpam-7184	69	15	case	case	NOUN
ejpam-7184	69	16	of	of	ADP
ejpam-7184	69	17	w	w	NOUN
ejpam-7184	69	18	-	-	PUNCT
ejpam-7184	69	19	generalized	generalize	VERB
ejpam-7184	69	20	order	order	NOUN
ejpam-7184	69	21	statistics	statistic	NOUN
ejpam-7184	69	22	(	(	PUNCT
ejpam-7184	69	23	w	w	NOUN
ejpam-7184	69	24	-	-	PUNCT
ejpam-7184	69	25	gos	gos	NOUN
ejpam-7184	69	26	)	)	PUNCT
ejpam-7184	69	27	,	,	PUNCT
ejpam-7184	69	28	which	which	PRON
ejpam-7184	69	29	provides	provide	VERB
ejpam-7184	69	30	a	a	DET
ejpam-7184	69	31	flexible	flexible	ADJ
ejpam-7184	69	32	framework	framework	NOUN
ejpam-7184	69	33	for	for	ADP
ejpam-7184	69	34	obtaining	obtain	VERB
ejpam-7184	69	35	other	other	ADJ
ejpam-7184	69	36	ordered	order	VERB
ejpam-7184	69	37	variables	variable	NOUN
ejpam-7184	69	38	by	by	ADP
ejpam-7184	69	39	choosing	choose	VERB
ejpam-7184	69	40	specific	specific	ADJ
ejpam-7184	69	41	values	value	NOUN
ejpam-7184	69	42	of	of	ADP
ejpam-7184	69	43	w.	w.	PROPN
ejpam-7184	69	44	gamal	gamal	PROPN
ejpam-7184	69	45	et	et	PROPN
ejpam-7184	69	46	al	al	PROPN
ejpam-7184	69	47	.	.	PUNCT
ejpam-7184	70	1	[	[	X
ejpam-7184	70	2	20	20	NUM
ejpam-7184	70	3	]	]	PUNCT
ejpam-7184	70	4	derived	derive	VERB
ejpam-7184	70	5	the	the	DET
ejpam-7184	70	6	m.	m.	NOUN
ejpam-7184	70	7	s.	s.	PROPN
ejpam-7184	70	8	mohamed	mohamed	PROPN
ejpam-7184	70	9	et	et	PROPN
ejpam-7184	70	10	al	al	PROPN
ejpam-7184	70	11	.	.	PUNCT
ejpam-7184	70	12	/	/	SYM
ejpam-7184	70	13	eur	eur	PROPN
ejpam-7184	70	14	.	.	PUNCT
ejpam-7184	71	1	j.	j.	PROPN
ejpam-7184	71	2	pure	pure	PROPN
ejpam-7184	71	3	appl	appl	PROPN
ejpam-7184	71	4	.	.	PROPN
ejpam-7184	71	5	math	math	PROPN
ejpam-7184	71	6	,	,	PUNCT
ejpam-7184	71	7	18	18	NUM
ejpam-7184	71	8	(	(	PUNCT
ejpam-7184	71	9	4	4	NUM
ejpam-7184	71	10	)	)	PUNCT
ejpam-7184	71	11	(	(	PUNCT
ejpam-7184	71	12	2025	2025	NUM
ejpam-7184	71	13	)	)	PUNCT
ejpam-7184	71	14	,	,	PUNCT
ejpam-7184	71	15	7184	7184	NUM
ejpam-7184	71	16	4	4	NUM
ejpam-7184	71	17	of	of	ADP
ejpam-7184	71	18	21	21	NUM
ejpam-7184	71	19	cdf	cdf	NOUN
ejpam-7184	71	20	and	and	CCONJ
ejpam-7184	71	21	pdf	pdf	NOUN
ejpam-7184	71	22	of	of	ADP
ejpam-7184	71	23	the	the	DET
ejpam-7184	71	24	concomitant	concomitant	PROPN
ejpam-7184	71	25	y[r	y[r	PROPN
ejpam-7184	71	26	,	,	PUNCT
ejpam-7184	71	27	n	n	CCONJ
ejpam-7184	71	28	,	,	PUNCT
ejpam-7184	71	29	w	w	NOUN
ejpam-7184	71	30	,	,	PUNCT
ejpam-7184	71	31	l	l	NOUN
ejpam-7184	71	32	]	]	PUNCT
ejpam-7184	71	33	from	from	ADP
ejpam-7184	71	34	the	the	DET
ejpam-7184	71	35	lai	lai	PROPN
ejpam-7184	71	36	and	and	CCONJ
ejpam-7184	71	37	xie	xie	PROPN
ejpam-7184	71	38	extensions	extension	NOUN
ejpam-7184	71	39	for	for	ADP
ejpam-7184	71	40	the	the	DET
ejpam-7184	71	41	r	r	NOUN
ejpam-7184	71	42	-	-	PUNCT
ejpam-7184	71	43	th	th	PRON
ejpam-7184	71	44	w	w	NOUN
ejpam-7184	71	45	-	-	PUNCT
ejpam-7184	71	46	gos	gos	NOUN
ejpam-7184	71	47	,	,	PUNCT
ejpam-7184	71	48	respectively	respectively	ADV
ejpam-7184	71	49	,	,	PUNCT
ejpam-7184	71	50	as	as	ADP
ejpam-7184	71	51	:	:	PUNCT
ejpam-7184	71	52	g[r	g[r	NOUN
ejpam-7184	71	53	,	,	PUNCT
ejpam-7184	71	54	n	n	CCONJ
ejpam-7184	71	55	,	,	PUNCT
ejpam-7184	71	56	w	w	NOUN
ejpam-7184	71	57	,	,	PUNCT
ejpam-7184	71	58	l](y	l](y	ADJ
ejpam-7184	71	59	)	)	PUNCT
ejpam-7184	72	1	=	=	SYM
ejpam-7184	72	2	gy	gy	INTJ
ejpam-7184	72	3	(	(	PUNCT
ejpam-7184	72	4	y	y	NOUN
ejpam-7184	72	5	)	)	PUNCT
ejpam-7184	72	6	[	[	PUNCT
ejpam-7184	72	7	1	1	NUM
ejpam-7184	72	8	+	+	NUM
ejpam-7184	72	9	δη∗[r	δη∗[r	NOUN
ejpam-7184	72	10	,	,	PUNCT
ejpam-7184	72	11	n	n	CCONJ
ejpam-7184	72	12	,	,	PUNCT
ejpam-7184	72	13	w	w	PROPN
ejpam-7184	72	14	,	,	PUNCT
ejpam-7184	72	15	l]ḡy	l]ḡy	PROPN
ejpam-7184	72	16	(	(	PUNCT
ejpam-7184	72	17	y	y	NOUN
ejpam-7184	72	18	)	)	PUNCT
ejpam-7184	73	1	αgλ−1	αgλ−1	ADV
ejpam-7184	73	2	y	y	PROPN
ejpam-7184	73	3	(	(	PUNCT
ejpam-7184	73	4	y	y	PROPN
ejpam-7184	73	5	)	)	PUNCT
ejpam-7184	73	6	]	]	PUNCT
ejpam-7184	73	7	,	,	PUNCT
ejpam-7184	73	8	(	(	PUNCT
ejpam-7184	73	9	1.10	1.10	NUM
ejpam-7184	73	10	)	)	PUNCT
ejpam-7184	73	11	g[r	g[r	NOUN
ejpam-7184	73	12	,	,	PUNCT
ejpam-7184	73	13	n	n	CCONJ
ejpam-7184	73	14	,	,	PUNCT
ejpam-7184	73	15	w	w	NOUN
ejpam-7184	73	16	,	,	PUNCT
ejpam-7184	73	17	l](y	l](y	ADJ
ejpam-7184	73	18	)	)	PUNCT
ejpam-7184	74	1	=	=	SYM
ejpam-7184	74	2	gy	gy	INTJ
ejpam-7184	74	3	(	(	PUNCT
ejpam-7184	74	4	y	y	NOUN
ejpam-7184	74	5	)	)	PUNCT
ejpam-7184	74	6	[	[	PUNCT
ejpam-7184	74	7	1	1	NUM
ejpam-7184	74	8	+	+	NUM
ejpam-7184	74	9	δr∗	δr∗	NOUN
ejpam-7184	74	10	[	[	X
ejpam-7184	74	11	r	r	X
ejpam-7184	74	12	,	,	PUNCT
ejpam-7184	74	13	n	n	CCONJ
ejpam-7184	74	14	,	,	PUNCT
ejpam-7184	74	15	w	w	PROPN
ejpam-7184	74	16	,	,	PUNCT
ejpam-7184	74	17	l]ḡy	l]ḡy	PROPN
ejpam-7184	74	18	(	(	PUNCT
ejpam-7184	74	19	y	y	NOUN
ejpam-7184	74	20	)	)	PUNCT
ejpam-7184	74	21	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	74	22	y	y	PROPN
ejpam-7184	74	23	(	(	PUNCT
ejpam-7184	74	24	y	y	PROPN
ejpam-7184	74	25	)	)	PUNCT
ejpam-7184	74	26	(	(	PUNCT
ejpam-7184	74	27	λ−	λ−	PROPN
ejpam-7184	74	28	(	(	PUNCT
ejpam-7184	74	29	α+	α+	X
ejpam-7184	74	30	λ)gy	λ)gy	PROPN
ejpam-7184	74	31	(	(	PUNCT
ejpam-7184	74	32	y	y	NOUN
ejpam-7184	74	33	)	)	PUNCT
ejpam-7184	74	34	)	)	PUNCT
ejpam-7184	74	35	]	]	PUNCT
ejpam-7184	74	36	,	,	PUNCT
ejpam-7184	74	37	(	(	PUNCT
ejpam-7184	74	38	1.11	1.11	NUM
ejpam-7184	74	39	)	)	PUNCT
ejpam-7184	74	40	and	and	CCONJ
ejpam-7184	74	41	ḡ[r	ḡ[r	ADJ
ejpam-7184	74	42	,	,	PUNCT
ejpam-7184	74	43	i	i	PRON
ejpam-7184	74	44	,	,	PUNCT
ejpam-7184	74	45	w	w	PROPN
ejpam-7184	74	46	,	,	PUNCT
ejpam-7184	74	47	l](y	l](y	ADJ
ejpam-7184	74	48	)	)	PUNCT
ejpam-7184	74	49	=	=	SYM
ejpam-7184	75	1	1−gy	1−gy	NUM
ejpam-7184	75	2	(	(	PUNCT
ejpam-7184	75	3	y	y	NOUN
ejpam-7184	75	4	)	)	PUNCT
ejpam-7184	75	5	[	[	PUNCT
ejpam-7184	75	6	1	1	NUM
ejpam-7184	75	7	+	+	NUM
ejpam-7184	75	8	δη∗[r	δη∗[r	NOUN
ejpam-7184	75	9	,	,	PUNCT
ejpam-7184	75	10	i	i	PRON
ejpam-7184	75	11	,	,	PUNCT
ejpam-7184	75	12	w	w	PROPN
ejpam-7184	75	13	,	,	PUNCT
ejpam-7184	75	14	l]ḡy	l]ḡy	PROPN
ejpam-7184	75	15	(	(	PUNCT
ejpam-7184	75	16	y	y	NOUN
ejpam-7184	75	17	)	)	PUNCT
ejpam-7184	76	1	αgλ−1	αgλ−1	ADV
ejpam-7184	76	2	y	y	PROPN
ejpam-7184	76	3	(	(	PUNCT
ejpam-7184	76	4	y	y	PROPN
ejpam-7184	76	5	)	)	PUNCT
ejpam-7184	76	6	]	]	PUNCT
ejpam-7184	77	1	=	=	PUNCT
ejpam-7184	77	2	ḡy	ḡy	X
ejpam-7184	77	3	(	(	PUNCT
ejpam-7184	77	4	y	y	NOUN
ejpam-7184	77	5	)	)	PUNCT
ejpam-7184	77	6	[	[	PUNCT
ejpam-7184	77	7	1	1	NUM
ejpam-7184	77	8	+	+	NUM
ejpam-7184	77	9	δη∗[r	δη∗[r	NOUN
ejpam-7184	77	10	,	,	PUNCT
ejpam-7184	77	11	i	i	PRON
ejpam-7184	77	12	,	,	PUNCT
ejpam-7184	77	13	w	w	PROPN
ejpam-7184	77	14	,	,	PUNCT
ejpam-7184	77	15	l]ḡy	l]ḡy	PROPN
ejpam-7184	77	16	(	(	PUNCT
ejpam-7184	77	17	y	y	NOUN
ejpam-7184	77	18	)	)	PUNCT
ejpam-7184	77	19	α−1gλ	α−1gλ	PROPN
ejpam-7184	77	20	y	y	PROPN
ejpam-7184	77	21	(	(	PUNCT
ejpam-7184	77	22	y	y	PROPN
ejpam-7184	77	23	)	)	PUNCT
ejpam-7184	77	24	]	]	PUNCT
ejpam-7184	77	25	.	.	PUNCT
ejpam-7184	78	1	(	(	PUNCT
ejpam-7184	78	2	1.12	1.12	NUM
ejpam-7184	78	3	)	)	PUNCT
ejpam-7184	78	4	where	where	SCONJ
ejpam-7184	78	5	η∗[r	η∗[r	PROPN
ejpam-7184	78	6	,	,	PUNCT
ejpam-7184	78	7	n	n	CCONJ
ejpam-7184	78	8	,	,	PUNCT
ejpam-7184	78	9	w	w	NOUN
ejpam-7184	78	10	,	,	PUNCT
ejpam-7184	78	11	l	l	NOUN
ejpam-7184	78	12	]	]	X
ejpam-7184	78	13	=	=	SYM
ejpam-7184	78	14	mr−1	mr−1	PROPN
ejpam-7184	78	15	λ−1∑	λ−1∑	X
ejpam-7184	78	16	ϵ=0	ϵ=0	PUNCT
ejpam-7184	78	17	(	(	PUNCT
ejpam-7184	78	18	λ−	λ−	PROPN
ejpam-7184	78	19	1	1	NUM
ejpam-7184	78	20	ϵ	ϵ	NOUN
ejpam-7184	78	21	)	)	PUNCT
ejpam-7184	78	22	(	(	PUNCT
ejpam-7184	78	23	−1)ϵ∏r	−1)ϵ∏r	INTJ
ejpam-7184	78	24	q=1(γq	q=1(γq	NOUN
ejpam-7184	79	1	+	+	CCONJ
ejpam-7184	79	2	α+	α+	X
ejpam-7184	79	3	ϵ	ϵ	NOUN
ejpam-7184	79	4	)	)	PUNCT
ejpam-7184	79	5	,	,	PUNCT
ejpam-7184	79	6	(	(	PUNCT
ejpam-7184	79	7	1.13	1.13	NUM
ejpam-7184	79	8	)	)	PUNCT
ejpam-7184	80	1	and	and	CCONJ
ejpam-7184	80	2	r∗	r∗	VERB
ejpam-7184	80	3	[	[	X
ejpam-7184	80	4	r	r	NOUN
ejpam-7184	80	5	,	,	PUNCT
ejpam-7184	80	6	n	n	CCONJ
ejpam-7184	80	7	,	,	PUNCT
ejpam-7184	80	8	w	w	NOUN
ejpam-7184	80	9	,	,	PUNCT
ejpam-7184	80	10	l	l	NOUN
ejpam-7184	80	11	]	]	X
ejpam-7184	81	1	=	=	SYM
ejpam-7184	81	2	mr−1	mr−1	PROPN
ejpam-7184	81	3	[	[	PUNCT
ejpam-7184	81	4	λ−1∑	λ−1∑	X
ejpam-7184	81	5	ϵ=0	ϵ=0	SYM
ejpam-7184	81	6	λ	λ	PROPN
ejpam-7184	81	7	(	(	PUNCT
ejpam-7184	81	8	λ−	λ−	PROPN
ejpam-7184	81	9	1	1	NUM
ejpam-7184	81	10	ϵ	ϵ	NOUN
ejpam-7184	81	11	)	)	PUNCT
ejpam-7184	81	12	(	(	PUNCT
ejpam-7184	81	13	−1)ϵ∏r	−1)ϵ∏r	INTJ
ejpam-7184	81	14	q=1(γq	q=1(γq	NOUN
ejpam-7184	81	15	+	+	X
ejpam-7184	81	16	ϵ+	ϵ+	PUNCT
ejpam-7184	81	17	α−	α−	ADP
ejpam-7184	81	18	1	1	NUM
ejpam-7184	81	19	)	)	PUNCT
ejpam-7184	81	20	−	−	PROPN
ejpam-7184	82	1	λ∑	λ∑	CCONJ
ejpam-7184	82	2	j=0	j=0	PROPN
ejpam-7184	82	3	(	(	PUNCT
ejpam-7184	82	4	α+	α+	X
ejpam-7184	82	5	λ	λ	NOUN
ejpam-7184	82	6	)	)	PUNCT
ejpam-7184	82	7	(	(	PUNCT
ejpam-7184	82	8	λ	λ	X
ejpam-7184	82	9	j	j	PROPN
ejpam-7184	82	10	)	)	PUNCT
ejpam-7184	82	11	(	(	PUNCT
ejpam-7184	82	12	−1)j∏r	−1)j∏r	NOUN
ejpam-7184	82	13	q=1(γq	q=1(γq	NOUN
ejpam-7184	82	14	+	+	NUM
ejpam-7184	82	15	j	j	NOUN
ejpam-7184	82	16	+	+	CCONJ
ejpam-7184	82	17	α−	α−	ADP
ejpam-7184	82	18	1	1	NUM
ejpam-7184	82	19	)	)	PUNCT
ejpam-7184	82	20	]	]	PUNCT
ejpam-7184	82	21	,	,	PUNCT
ejpam-7184	82	22	(	(	PUNCT
ejpam-7184	82	23	1.14	1.14	NUM
ejpam-7184	82	24	)	)	PUNCT
ejpam-7184	82	25	with	with	ADP
ejpam-7184	82	26	parameters	parameter	NOUN
ejpam-7184	82	27	l	l	PROPN
ejpam-7184	82	28	≥	≥	NUM
ejpam-7184	82	29	1	1	NUM
ejpam-7184	82	30	,	,	PUNCT
ejpam-7184	82	31	n	n	PRON
ejpam-7184	82	32	∈	∈	PROPN
ejpam-7184	82	33	n	n	CCONJ
ejpam-7184	82	34	,	,	PUNCT
ejpam-7184	82	35	w1	w1	NOUN
ejpam-7184	82	36	=	=	SYM
ejpam-7184	82	37	w2	w2	NOUN
ejpam-7184	82	38	=	=	PUNCT
ejpam-7184	82	39	.	.	PUNCT
ejpam-7184	82	40	.	.	PUNCT
ejpam-7184	82	41	.	.	PUNCT
ejpam-7184	83	1	=	=	PUNCT
ejpam-7184	83	2	wn−1	wn−1	PROPN
ejpam-7184	83	3	=	=	SYM
ejpam-7184	83	4	w	w	NOUN
ejpam-7184	83	5	,	,	PUNCT
ejpam-7184	83	6	and	and	CCONJ
ejpam-7184	83	7	1	1	NUM
ejpam-7184	83	8	≤	≤	NOUN
ejpam-7184	83	9	r	r	NOUN
ejpam-7184	83	10	≤	≤	NOUN
ejpam-7184	83	11	n	n	CCONJ
ejpam-7184	83	12	−	−	PROPN
ejpam-7184	83	13	1	1	NUM
ejpam-7184	83	14	,	,	PUNCT
ejpam-7184	83	15	where	where	SCONJ
ejpam-7184	83	16	γq	γq	ADP
ejpam-7184	83	17	=	=	SYM
ejpam-7184	83	18	l	l	NOUN
ejpam-7184	83	19	+	+	CCONJ
ejpam-7184	83	20	(	(	PUNCT
ejpam-7184	83	21	n−	n−	NOUN
ejpam-7184	83	22	q)(w	q)(w	VERB
ejpam-7184	83	23	+	+	NOUN
ejpam-7184	83	24	1	1	NUM
ejpam-7184	83	25	)	)	PUNCT
ejpam-7184	83	26	and	and	CCONJ
ejpam-7184	83	27	mr−1	mr−1	PROPN
ejpam-7184	83	28	=	=	SYM
ejpam-7184	83	29	∏r	∏r	NOUN
ejpam-7184	83	30	q=1	q=1	NOUN
ejpam-7184	83	31	γq	γq	NOUN
ejpam-7184	83	32	.	.	PUNCT
ejpam-7184	84	1	for	for	ADP
ejpam-7184	84	2	more	more	ADJ
ejpam-7184	84	3	details	detail	NOUN
ejpam-7184	84	4	on	on	ADP
ejpam-7184	84	5	the	the	DET
ejpam-7184	84	6	concept	concept	NOUN
ejpam-7184	84	7	of	of	ADP
ejpam-7184	84	8	w	w	NOUN
ejpam-7184	84	9	-	-	PUNCT
ejpam-7184	84	10	gos	gos	NOUN
ejpam-7184	84	11	,	,	PUNCT
ejpam-7184	84	12	see	see	VERB
ejpam-7184	84	13	kamps	kamps	PROPN
ejpam-7184	84	14	[	[	X
ejpam-7184	84	15	19	19	NUM
ejpam-7184	84	16	]	]	PUNCT
ejpam-7184	84	17	.	.	PUNCT
ejpam-7184	85	1	extropy	extropy	NOUN
ejpam-7184	85	2	is	be	AUX
ejpam-7184	85	3	regarded	regard	VERB
ejpam-7184	85	4	as	as	ADP
ejpam-7184	85	5	the	the	DET
ejpam-7184	85	6	dual	dual	ADJ
ejpam-7184	85	7	counterpart	counterpart	NOUN
ejpam-7184	85	8	of	of	ADP
ejpam-7184	85	9	entropy	entropy	NOUN
ejpam-7184	85	10	in	in	ADP
ejpam-7184	85	11	both	both	DET
ejpam-7184	85	12	information	information	NOUN
ejpam-7184	85	13	theory	theory	NOUN
ejpam-7184	85	14	and	and	CCONJ
ejpam-7184	85	15	thermodynamics	thermodynamic	NOUN
ejpam-7184	85	16	.	.	PUNCT
ejpam-7184	86	1	whereas	whereas	SCONJ
ejpam-7184	86	2	entropy	entropy	VERB
ejpam-7184	86	3	quantifies	quantifie	NOUN
ejpam-7184	86	4	disorder	disorder	NOUN
ejpam-7184	86	5	,	,	PUNCT
ejpam-7184	86	6	randomness	randomness	NOUN
ejpam-7184	86	7	,	,	PUNCT
ejpam-7184	86	8	or	or	CCONJ
ejpam-7184	86	9	uncertainty	uncertainty	NOUN
ejpam-7184	86	10	within	within	ADP
ejpam-7184	86	11	a	a	DET
ejpam-7184	86	12	system	system	NOUN
ejpam-7184	86	13	,	,	PUNCT
ejpam-7184	86	14	extropy	extropy	NOUN
ejpam-7184	86	15	emphasizes	emphasize	VERB
ejpam-7184	86	16	order	order	NOUN
ejpam-7184	86	17	,	,	PUNCT
ejpam-7184	86	18	structure	structure	NOUN
ejpam-7184	86	19	,	,	PUNCT
ejpam-7184	86	20	and	and	CCONJ
ejpam-7184	86	21	information	information	NOUN
ejpam-7184	86	22	content	content	NOUN
ejpam-7184	86	23	.	.	PUNCT
ejpam-7184	87	1	it	it	PRON
ejpam-7184	87	2	is	be	AUX
ejpam-7184	87	3	often	often	ADV
ejpam-7184	87	4	linked	link	VERB
ejpam-7184	87	5	to	to	ADP
ejpam-7184	87	6	concepts	concept	NOUN
ejpam-7184	87	7	such	such	ADJ
ejpam-7184	87	8	as	as	ADP
ejpam-7184	87	9	progress	progress	NOUN
ejpam-7184	87	10	,	,	PUNCT
ejpam-7184	87	11	growth	growth	NOUN
ejpam-7184	87	12	,	,	PUNCT
ejpam-7184	87	13	and	and	CCONJ
ejpam-7184	87	14	the	the	DET
ejpam-7184	87	15	natural	natural	ADJ
ejpam-7184	87	16	tendency	tendency	NOUN
ejpam-7184	87	17	of	of	ADP
ejpam-7184	87	18	systems	system	NOUN
ejpam-7184	87	19	to	to	PART
ejpam-7184	87	20	evolve	evolve	VERB
ejpam-7184	87	21	toward	toward	ADP
ejpam-7184	87	22	higher	high	ADJ
ejpam-7184	87	23	levels	level	NOUN
ejpam-7184	87	24	of	of	ADP
ejpam-7184	87	25	organization	organization	NOUN
ejpam-7184	87	26	.	.	PUNCT
ejpam-7184	88	1	because	because	SCONJ
ejpam-7184	88	2	of	of	ADP
ejpam-7184	88	3	these	these	DET
ejpam-7184	88	4	properties	property	NOUN
ejpam-7184	88	5	,	,	PUNCT
ejpam-7184	88	6	extropy	extropy	NOUN
ejpam-7184	88	7	has	have	AUX
ejpam-7184	88	8	recently	recently	ADV
ejpam-7184	88	9	attracted	attract	VERB
ejpam-7184	88	10	considerable	considerable	ADJ
ejpam-7184	88	11	attention	attention	NOUN
ejpam-7184	88	12	as	as	ADP
ejpam-7184	88	13	a	a	DET
ejpam-7184	88	14	complementary	complementary	ADJ
ejpam-7184	88	15	measure	measure	NOUN
ejpam-7184	88	16	to	to	PART
ejpam-7184	88	17	entropy	entropy	VERB
ejpam-7184	88	18	in	in	ADP
ejpam-7184	88	19	modeling	model	VERB
ejpam-7184	88	20	uncertainty	uncertainty	NOUN
ejpam-7184	88	21	and	and	CCONJ
ejpam-7184	88	22	information	information	NOUN
ejpam-7184	88	23	.	.	PUNCT
ejpam-7184	89	1	within	within	ADP
ejpam-7184	89	2	the	the	DET
ejpam-7184	89	3	fgm	fgm	PROPN
ejpam-7184	89	4	family	family	NOUN
ejpam-7184	89	5	,	,	PUNCT
ejpam-7184	89	6	almasoor	almasoor	PROPN
ejpam-7184	89	7	et	et	PROPN
ejpam-7184	89	8	al	al	PROPN
ejpam-7184	89	9	.	.	PUNCT
ejpam-7184	90	1	[	[	X
ejpam-7184	90	2	21	21	NUM
ejpam-7184	90	3	]	]	PUNCT
ejpam-7184	90	4	investigated	investigate	VERB
ejpam-7184	90	5	extropy	extropy	NOUN
ejpam-7184	90	6	measures	measure	NOUN
ejpam-7184	90	7	for	for	ADP
ejpam-7184	90	8	w	w	NOUN
ejpam-7184	90	9	-	-	PUNCT
ejpam-7184	90	10	gos	go	NOUN
ejpam-7184	90	11	concomitants	concomitant	NOUN
ejpam-7184	90	12	,	,	PUNCT
ejpam-7184	90	13	establishing	establish	VERB
ejpam-7184	90	14	beneficial	beneficial	ADJ
ejpam-7184	90	15	properties	property	NOUN
ejpam-7184	90	16	and	and	CCONJ
ejpam-7184	90	17	highlighting	highlight	VERB
ejpam-7184	90	18	their	their	PRON
ejpam-7184	90	19	flexibility	flexibility	NOUN
ejpam-7184	90	20	.	.	PUNCT
ejpam-7184	91	1	more	more	ADV
ejpam-7184	91	2	recently	recently	ADV
ejpam-7184	91	3	,	,	PUNCT
ejpam-7184	91	4	mohamed	mohamed	PROPN
ejpam-7184	91	5	et	et	PROPN
ejpam-7184	91	6	al	al	PROPN
ejpam-7184	91	7	.	.	PUNCT
ejpam-7184	92	1	[	[	X
ejpam-7184	92	2	[	[	X
ejpam-7184	92	3	22	22	NUM
ejpam-7184	92	4	]	]	PUNCT
ejpam-7184	92	5	,	,	PUNCT
ejpam-7184	92	6	[	[	X
ejpam-7184	92	7	23	23	NUM
ejpam-7184	92	8	]	]	X
ejpam-7184	92	9	]	]	PUNCT
ejpam-7184	92	10	employed	employ	VERB
ejpam-7184	92	11	both	both	CCONJ
ejpam-7184	92	12	real	real	ADJ
ejpam-7184	92	13	and	and	CCONJ
ejpam-7184	92	14	simulated	simulate	VERB
ejpam-7184	92	15	covid-19	covid-19	PROPN
ejpam-7184	92	16	viral	viral	ADJ
ejpam-7184	92	17	data	datum	NOUN
ejpam-7184	92	18	to	to	PART
ejpam-7184	92	19	explore	explore	VERB
ejpam-7184	92	20	the	the	DET
ejpam-7184	92	21	non	non	ADJ
ejpam-7184	92	22	-	-	ADJ
ejpam-7184	92	23	parametric	parametric	ADJ
ejpam-7184	92	24	computation	computation	NOUN
ejpam-7184	92	25	of	of	ADP
ejpam-7184	92	26	the	the	DET
ejpam-7184	92	27	residual	residual	ADJ
ejpam-7184	92	28	extropy	extropy	NOUN
ejpam-7184	92	29	measure	measure	NOUN
ejpam-7184	92	30	for	for	ADP
ejpam-7184	92	31	wgos	wgo	NOUN
ejpam-7184	92	32	concomitants	concomitant	NOUN
ejpam-7184	92	33	,	,	PUNCT
ejpam-7184	92	34	demonstrating	demonstrate	VERB
ejpam-7184	92	35	the	the	DET
ejpam-7184	92	36	potential	potential	NOUN
ejpam-7184	92	37	of	of	ADP
ejpam-7184	92	38	extropy	extropy	NOUN
ejpam-7184	92	39	-	-	PUNCT
ejpam-7184	92	40	based	base	VERB
ejpam-7184	92	41	approaches	approach	NOUN
ejpam-7184	92	42	in	in	ADP
ejpam-7184	92	43	practical	practical	ADJ
ejpam-7184	92	44	applications	application	NOUN
ejpam-7184	92	45	.	.	PUNCT
ejpam-7184	93	1	m.	m.	PROPN
ejpam-7184	93	2	s.	s.	PROPN
ejpam-7184	93	3	mohamed	mohamed	PROPN
ejpam-7184	93	4	et	et	PROPN
ejpam-7184	93	5	al	al	PROPN
ejpam-7184	93	6	.	.	PUNCT
ejpam-7184	93	7	/	/	SYM
ejpam-7184	93	8	eur	eur	PROPN
ejpam-7184	93	9	.	.	PUNCT
ejpam-7184	94	1	j.	j.	PROPN
ejpam-7184	94	2	pure	pure	PROPN
ejpam-7184	94	3	appl	appl	PROPN
ejpam-7184	94	4	.	.	PROPN
ejpam-7184	94	5	math	math	PROPN
ejpam-7184	94	6	,	,	PUNCT
ejpam-7184	94	7	18	18	NUM
ejpam-7184	94	8	(	(	PUNCT
ejpam-7184	94	9	4	4	NUM
ejpam-7184	94	10	)	)	PUNCT
ejpam-7184	94	11	(	(	PUNCT
ejpam-7184	94	12	2025	2025	NUM
ejpam-7184	94	13	)	)	PUNCT
ejpam-7184	94	14	,	,	PUNCT
ejpam-7184	94	15	7184	7184	NUM
ejpam-7184	94	16	5	5	NUM
ejpam-7184	94	17	of	of	ADP
ejpam-7184	94	18	21	21	NUM
ejpam-7184	94	19	entropy	entropy	NOUN
ejpam-7184	94	20	for	for	ADP
ejpam-7184	94	21	w	w	NOUN
ejpam-7184	94	22	-	-	PUNCT
ejpam-7184	94	23	gos	gos	NOUN
ejpam-7184	94	24	concomitants	concomitant	NOUN
ejpam-7184	94	25	arising	arise	VERB
ejpam-7184	94	26	from	from	ADP
ejpam-7184	94	27	the	the	DET
ejpam-7184	94	28	lai	lai	PROPN
ejpam-7184	94	29	and	and	CCONJ
ejpam-7184	94	30	xie	xie	PROPN
ejpam-7184	94	31	extensions	extension	NOUN
ejpam-7184	94	32	was	be	AUX
ejpam-7184	94	33	studied	study	VERB
ejpam-7184	94	34	by	by	ADP
ejpam-7184	94	35	gamal	gamal	PROPN
ejpam-7184	94	36	et	et	PROPN
ejpam-7184	94	37	al	al	PROPN
ejpam-7184	94	38	.	.	PUNCT
ejpam-7184	95	1	[	[	X
ejpam-7184	95	2	20	20	NUM
ejpam-7184	95	3	]	]	PUNCT
ejpam-7184	95	4	,	,	PUNCT
ejpam-7184	95	5	who	who	PRON
ejpam-7184	95	6	provided	provide	VERB
ejpam-7184	95	7	several	several	ADJ
ejpam-7184	95	8	theoretical	theoretical	ADJ
ejpam-7184	95	9	insights	insight	NOUN
ejpam-7184	95	10	.	.	PUNCT
ejpam-7184	96	1	in	in	ADP
ejpam-7184	96	2	contrast	contrast	NOUN
ejpam-7184	96	3	,	,	PUNCT
ejpam-7184	96	4	the	the	DET
ejpam-7184	96	5	present	present	ADJ
ejpam-7184	96	6	work	work	NOUN
ejpam-7184	96	7	focuses	focus	VERB
ejpam-7184	96	8	on	on	ADP
ejpam-7184	96	9	the	the	DET
ejpam-7184	96	10	study	study	NOUN
ejpam-7184	96	11	of	of	ADP
ejpam-7184	96	12	extropy	extropy	NOUN
ejpam-7184	96	13	in	in	ADP
ejpam-7184	96	14	this	this	DET
ejpam-7184	96	15	setting	setting	NOUN
ejpam-7184	96	16	,	,	PUNCT
ejpam-7184	96	17	extending	extend	VERB
ejpam-7184	96	18	the	the	DET
ejpam-7184	96	19	analysis	analysis	NOUN
ejpam-7184	96	20	to	to	PART
ejpam-7184	96	21	include	include	VERB
ejpam-7184	96	22	several	several	ADJ
ejpam-7184	96	23	new	new	ADJ
ejpam-7184	96	24	measures	measure	NOUN
ejpam-7184	96	25	and	and	CCONJ
ejpam-7184	96	26	estimation	estimation	NOUN
ejpam-7184	96	27	methods	method	NOUN
ejpam-7184	96	28	.	.	PUNCT
ejpam-7184	97	1	the	the	DET
ejpam-7184	97	2	main	main	ADJ
ejpam-7184	97	3	contributions	contribution	NOUN
ejpam-7184	97	4	and	and	CCONJ
ejpam-7184	97	5	structure	structure	NOUN
ejpam-7184	97	6	of	of	ADP
ejpam-7184	97	7	this	this	DET
ejpam-7184	97	8	paper	paper	NOUN
ejpam-7184	97	9	can	can	AUX
ejpam-7184	97	10	be	be	AUX
ejpam-7184	97	11	summarized	summarize	VERB
ejpam-7184	97	12	as	as	SCONJ
ejpam-7184	97	13	follows	follow	VERB
ejpam-7184	97	14	.	.	PUNCT
ejpam-7184	98	1	in	in	ADP
ejpam-7184	98	2	section	section	NOUN
ejpam-7184	98	3	2	2	NUM
ejpam-7184	98	4	,	,	PUNCT
ejpam-7184	98	5	we	we	PRON
ejpam-7184	98	6	derive	derive	VERB
ejpam-7184	98	7	the	the	DET
ejpam-7184	98	8	expression	expression	NOUN
ejpam-7184	98	9	for	for	ADP
ejpam-7184	98	10	ε(y[r	ε(y[r	NOUN
ejpam-7184	98	11	,	,	PUNCT
ejpam-7184	98	12	n	n	CCONJ
ejpam-7184	98	13	,	,	PUNCT
ejpam-7184	98	14	w	w	NOUN
ejpam-7184	98	15	,	,	PUNCT
ejpam-7184	98	16	l	l	NOUN
ejpam-7184	98	17	]	]	X
ejpam-7184	98	18	)	)	PUNCT
ejpam-7184	98	19	using	use	VERB
ejpam-7184	98	20	the	the	DET
ejpam-7184	98	21	extropy	extropy	NOUN
ejpam-7184	98	22	measure	measure	NOUN
ejpam-7184	98	23	.	.	PUNCT
ejpam-7184	99	1	in	in	ADP
ejpam-7184	99	2	the	the	DET
ejpam-7184	99	3	same	same	ADJ
ejpam-7184	99	4	section	section	NOUN
ejpam-7184	99	5	,	,	PUNCT
ejpam-7184	99	6	we	we	PRON
ejpam-7184	99	7	also	also	ADV
ejpam-7184	99	8	present	present	VERB
ejpam-7184	99	9	conclusions	conclusion	NOUN
ejpam-7184	99	10	concerning	concern	VERB
ejpam-7184	99	11	the	the	DET
ejpam-7184	99	12	extropy	extropy	NOUN
ejpam-7184	99	13	of	of	ADP
ejpam-7184	99	14	the	the	DET
ejpam-7184	99	15	concomitants	concomitant	NOUN
ejpam-7184	99	16	of	of	ADP
ejpam-7184	99	17	order	order	NOUN
ejpam-7184	99	18	statistics	statistic	NOUN
ejpam-7184	99	19	and	and	CCONJ
ejpam-7184	99	20	record	record	NOUN
ejpam-7184	99	21	values	value	NOUN
ejpam-7184	99	22	for	for	ADP
ejpam-7184	99	23	the	the	DET
ejpam-7184	99	24	uniform	uniform	ADJ
ejpam-7184	99	25	and	and	CCONJ
ejpam-7184	99	26	exponential	exponential	ADJ
ejpam-7184	99	27	distributions	distribution	NOUN
ejpam-7184	99	28	.	.	PUNCT
ejpam-7184	100	1	in	in	ADP
ejpam-7184	100	2	addition	addition	NOUN
ejpam-7184	100	3	,	,	PUNCT
ejpam-7184	100	4	the	the	DET
ejpam-7184	100	5	lai	lai	PROPN
ejpam-7184	100	6	and	and	CCONJ
ejpam-7184	100	7	xie	xie	PROPN
ejpam-7184	100	8	extensions	extension	NOUN
ejpam-7184	100	9	are	be	AUX
ejpam-7184	100	10	employed	employ	VERB
ejpam-7184	100	11	to	to	PART
ejpam-7184	100	12	study	study	VERB
ejpam-7184	100	13	several	several	ADJ
ejpam-7184	100	14	related	relate	VERB
ejpam-7184	100	15	measures	measure	NOUN
ejpam-7184	100	16	,	,	PUNCT
ejpam-7184	100	17	including	include	VERB
ejpam-7184	100	18	residual	residual	ADJ
ejpam-7184	100	19	and	and	CCONJ
ejpam-7184	100	20	past	past	ADJ
ejpam-7184	100	21	extropies	extropy	NOUN
ejpam-7184	100	22	,	,	PUNCT
ejpam-7184	100	23	crex	crex	NOUN
ejpam-7184	100	24	,	,	PUNCT
ejpam-7184	100	25	and	and	CCONJ
ejpam-7184	100	26	ncex	ncex	VERB
ejpam-7184	100	27	for	for	ADP
ejpam-7184	100	28	w	w	NOUN
ejpam-7184	100	29	-	-	PUNCT
ejpam-7184	100	30	gos	gos	NOUN
ejpam-7184	100	31	concomitants	concomitant	NOUN
ejpam-7184	100	32	.	.	PUNCT
ejpam-7184	101	1	section	section	NOUN
ejpam-7184	101	2	3	3	NUM
ejpam-7184	101	3	introduces	introduce	NOUN
ejpam-7184	101	4	empirical	empirical	ADJ
ejpam-7184	101	5	estimators	estimator	NOUN
ejpam-7184	101	6	for	for	ADP
ejpam-7184	101	7	crex	crex	NOUN
ejpam-7184	101	8	,	,	PUNCT
ejpam-7184	101	9	supported	support	VERB
ejpam-7184	101	10	by	by	ADP
ejpam-7184	101	11	simulation	simulation	NOUN
ejpam-7184	101	12	studies	study	NOUN
ejpam-7184	101	13	that	that	PRON
ejpam-7184	101	14	validate	validate	VERB
ejpam-7184	101	15	the	the	DET
ejpam-7184	101	16	accuracy	accuracy	NOUN
ejpam-7184	101	17	and	and	CCONJ
ejpam-7184	101	18	efficiency	efficiency	NOUN
ejpam-7184	101	19	of	of	ADP
ejpam-7184	101	20	the	the	DET
ejpam-7184	101	21	proposed	propose	VERB
ejpam-7184	101	22	estimators	estimator	NOUN
ejpam-7184	101	23	.	.	PUNCT
ejpam-7184	102	1	real	real	ADJ
ejpam-7184	102	2	-	-	PUNCT
ejpam-7184	102	3	life	life	NOUN
ejpam-7184	102	4	data	datum	NOUN
ejpam-7184	102	5	are	be	AUX
ejpam-7184	102	6	further	far	ADV
ejpam-7184	102	7	analyzed	analyze	VERB
ejpam-7184	102	8	to	to	PART
ejpam-7184	102	9	illustrate	illustrate	VERB
ejpam-7184	102	10	the	the	DET
ejpam-7184	102	11	practical	practical	ADJ
ejpam-7184	102	12	applicability	applicability	NOUN
ejpam-7184	102	13	of	of	ADP
ejpam-7184	102	14	non	non	ADJ
ejpam-7184	102	15	-	-	ADJ
ejpam-7184	102	16	parametric	parametric	ADJ
ejpam-7184	102	17	crex	crex	NOUN
ejpam-7184	102	18	estimation	estimation	NOUN
ejpam-7184	102	19	under	under	ADP
ejpam-7184	102	20	the	the	DET
ejpam-7184	102	21	lai	lai	PROPN
ejpam-7184	102	22	and	and	CCONJ
ejpam-7184	102	23	xie	xie	PROPN
ejpam-7184	102	24	framework	framework	PROPN
ejpam-7184	102	25	.	.	PUNCT
ejpam-7184	103	1	finally	finally	ADV
ejpam-7184	103	2	,	,	PUNCT
ejpam-7184	103	3	section	section	NOUN
ejpam-7184	103	4	4	4	NUM
ejpam-7184	103	5	provides	provide	VERB
ejpam-7184	103	6	a	a	DET
ejpam-7184	103	7	summary	summary	NOUN
ejpam-7184	103	8	of	of	ADP
ejpam-7184	103	9	the	the	DET
ejpam-7184	103	10	key	key	ADJ
ejpam-7184	103	11	findings	finding	NOUN
ejpam-7184	103	12	and	and	CCONJ
ejpam-7184	103	13	discusses	discuss	VERB
ejpam-7184	103	14	possible	possible	ADJ
ejpam-7184	103	15	directions	direction	NOUN
ejpam-7184	103	16	for	for	ADP
ejpam-7184	103	17	future	future	ADJ
ejpam-7184	103	18	research	research	NOUN
ejpam-7184	103	19	.	.	PUNCT
ejpam-7184	104	1	2	2	X
ejpam-7184	104	2	.	.	X
ejpam-7184	104	3	lai	lai	PROPN
ejpam-7184	104	4	and	and	CCONJ
ejpam-7184	104	5	xie	xie	PROPN
ejpam-7184	104	6	extensions	extension	NOUN
ejpam-7184	104	7	via	via	ADP
ejpam-7184	104	8	extropy	extropy	NOUN
ejpam-7184	104	9	the	the	DET
ejpam-7184	104	10	measures	measure	NOUN
ejpam-7184	104	11	of	of	ADP
ejpam-7184	104	12	extropy	extropy	NOUN
ejpam-7184	104	13	,	,	PUNCT
ejpam-7184	104	14	residual	residual	ADJ
ejpam-7184	104	15	and	and	CCONJ
ejpam-7184	104	16	past	past	ADJ
ejpam-7184	104	17	extropies	extropy	NOUN
ejpam-7184	104	18	,	,	PUNCT
ejpam-7184	104	19	crex	crex	NOUN
ejpam-7184	104	20	,	,	PUNCT
ejpam-7184	104	21	and	and	CCONJ
ejpam-7184	104	22	ncex	ncex	VERB
ejpam-7184	104	23	for	for	ADP
ejpam-7184	104	24	w	w	NOUN
ejpam-7184	104	25	-	-	PUNCT
ejpam-7184	104	26	gos	go	NOUN
ejpam-7184	104	27	concomitants	concomitant	NOUN
ejpam-7184	104	28	will	will	AUX
ejpam-7184	104	29	be	be	AUX
ejpam-7184	104	30	derived	derive	VERB
ejpam-7184	104	31	in	in	ADP
ejpam-7184	104	32	this	this	DET
ejpam-7184	104	33	section	section	NOUN
ejpam-7184	104	34	using	use	VERB
ejpam-7184	104	35	the	the	DET
ejpam-7184	104	36	general	general	ADJ
ejpam-7184	104	37	framework	framework	NOUN
ejpam-7184	104	38	of	of	ADP
ejpam-7184	104	39	the	the	DET
ejpam-7184	104	40	lai	lai	PROPN
ejpam-7184	104	41	and	and	CCONJ
ejpam-7184	104	42	xie	xie	PROPN
ejpam-7184	104	43	extensions	extension	NOUN
ejpam-7184	104	44	.	.	PUNCT
ejpam-7184	105	1	furthermore	furthermore	ADV
ejpam-7184	105	2	,	,	PUNCT
ejpam-7184	105	3	applications	application	NOUN
ejpam-7184	105	4	will	will	AUX
ejpam-7184	105	5	be	be	AUX
ejpam-7184	105	6	provided	provide	VERB
ejpam-7184	105	7	for	for	ADP
ejpam-7184	105	8	the	the	DET
ejpam-7184	105	9	concomitants	concomitant	NOUN
ejpam-7184	105	10	of	of	ADP
ejpam-7184	105	11	os	os	NOUN
ejpam-7184	105	12	and	and	CCONJ
ejpam-7184	105	13	record	record	ADJ
ejpam-7184	105	14	values	value	NOUN
ejpam-7184	105	15	under	under	ADP
ejpam-7184	105	16	the	the	DET
ejpam-7184	105	17	uniform	uniform	ADJ
ejpam-7184	105	18	and	and	CCONJ
ejpam-7184	105	19	exponential	exponential	ADJ
ejpam-7184	105	20	distributions	distribution	NOUN
ejpam-7184	105	21	.	.	PUNCT
ejpam-7184	106	1	2.1	2.1	NUM
ejpam-7184	106	2	.	.	PUNCT
ejpam-7184	106	3	extropy	extropy	NOUN
ejpam-7184	106	4	of	of	ADP
ejpam-7184	106	5	concomitants	concomitant	NOUN
ejpam-7184	106	6	for	for	ADP
ejpam-7184	106	7	w	w	ADV
ejpam-7184	106	8	-	-	PUNCT
ejpam-7184	106	9	generalized	generalize	VERB
ejpam-7184	106	10	order	order	NOUN
ejpam-7184	106	11	statistics	statistic	NOUN
ejpam-7184	106	12	in	in	ADP
ejpam-7184	106	13	this	this	DET
ejpam-7184	106	14	subsection	subsection	NOUN
ejpam-7184	106	15	,	,	PUNCT
ejpam-7184	106	16	we	we	PRON
ejpam-7184	106	17	will	will	AUX
ejpam-7184	106	18	derive	derive	VERB
ejpam-7184	106	19	the	the	DET
ejpam-7184	106	20	measure	measure	NOUN
ejpam-7184	106	21	of	of	ADP
ejpam-7184	106	22	extropy	extropy	NOUN
ejpam-7184	106	23	of	of	ADP
ejpam-7184	106	24	concomitants	concomitant	NOUN
ejpam-7184	106	25	for	for	ADP
ejpam-7184	106	26	w	w	NOUN
ejpam-7184	106	27	-	-	PUNCT
ejpam-7184	106	28	gos	gos	NOUN
ejpam-7184	106	29	,	,	PUNCT
ejpam-7184	106	30	y[r	y[r	PROPN
ejpam-7184	106	31	,	,	PUNCT
ejpam-7184	106	32	n	n	CCONJ
ejpam-7184	106	33	,	,	PUNCT
ejpam-7184	106	34	w	w	NOUN
ejpam-7184	106	35	,	,	PUNCT
ejpam-7184	106	36	l	l	NOUN
ejpam-7184	106	37	]	]	X
ejpam-7184	106	38	,	,	PUNCT
ejpam-7184	106	39	from	from	ADP
ejpam-7184	106	40	lai	lai	PROPN
ejpam-7184	106	41	and	and	CCONJ
ejpam-7184	106	42	xie	xie	PROPN
ejpam-7184	106	43	extensions	extension	NOUN
ejpam-7184	106	44	through	through	ADP
ejpam-7184	106	45	the	the	DET
ejpam-7184	106	46	application	application	NOUN
ejpam-7184	106	47	of	of	ADP
ejpam-7184	106	48	the	the	DET
ejpam-7184	106	49	theorem	theorem	PROPN
ejpam-7184	106	50	.	.	PUNCT
ejpam-7184	106	51	theorem	theorem	PROPN
ejpam-7184	106	52	2.1.1	2.1.1	PROPN
ejpam-7184	106	53	.	.	PUNCT
ejpam-7184	107	1	assume	assume	VERB
ejpam-7184	107	2	(	(	PUNCT
ejpam-7184	107	3	x	x	X
ejpam-7184	107	4	,	,	PUNCT
ejpam-7184	107	5	y	y	PROPN
ejpam-7184	107	6	)	)	PUNCT
ejpam-7184	107	7	is	be	AUX
ejpam-7184	107	8	a	a	DET
ejpam-7184	107	9	bivariate	bivariate	ADJ
ejpam-7184	107	10	r.v	r.v	PROPN
ejpam-7184	107	11	.	.	PROPN
ejpam-7184	107	12	from	from	ADP
ejpam-7184	107	13	the	the	DET
ejpam-7184	107	14	lai	lai	PROPN
ejpam-7184	107	15	and	and	CCONJ
ejpam-7184	107	16	xie	xie	PROPN
ejpam-7184	107	17	extensions	extension	NOUN
ejpam-7184	107	18	that	that	PRON
ejpam-7184	107	19	is	be	AUX
ejpam-7184	107	20	non	non	ADJ
ejpam-7184	107	21	-	-	ADJ
ejpam-7184	107	22	negative	negative	ADJ
ejpam-7184	107	23	.	.	PUNCT
ejpam-7184	108	1	based	base	VERB
ejpam-7184	108	2	on	on	ADP
ejpam-7184	108	3	the	the	DET
ejpam-7184	108	4	concomitant	concomitant	PROPN
ejpam-7184	108	5	y[r	y[r	PROPN
ejpam-7184	108	6	,	,	PUNCT
ejpam-7184	108	7	n	n	CCONJ
ejpam-7184	108	8	,	,	PUNCT
ejpam-7184	108	9	w	w	NOUN
ejpam-7184	108	10	,	,	PUNCT
ejpam-7184	108	11	l	l	NOUN
ejpam-7184	108	12	]	]	X
ejpam-7184	108	13	,	,	PUNCT
ejpam-7184	108	14	the	the	DET
ejpam-7184	108	15	rth	rth	PROPN
ejpam-7184	108	16	w	w	PROPN
ejpam-7184	108	17	-	-	PUNCT
ejpam-7184	108	18	gos	gos	NOUN
ejpam-7184	108	19	’s	’s	PART
ejpam-7184	108	20	extropy	extropy	NOUN
ejpam-7184	108	21	is	be	AUX
ejpam-7184	108	22	thus	thus	ADV
ejpam-7184	108	23	provided	provide	VERB
ejpam-7184	108	24	by	by	ADP
ejpam-7184	108	25	ε(y[r	ε(y[r	ADJ
ejpam-7184	108	26	,	,	PUNCT
ejpam-7184	108	27	n	n	CCONJ
ejpam-7184	108	28	,	,	PUNCT
ejpam-7184	108	29	w	w	NOUN
ejpam-7184	108	30	,	,	PUNCT
ejpam-7184	108	31	l	l	NOUN
ejpam-7184	108	32	]	]	X
ejpam-7184	108	33	)	)	PUNCT
ejpam-7184	109	1	=	=	SYM
ejpam-7184	109	2	ε(y	ε(y	PROPN
ejpam-7184	109	3	)	)	PUNCT
ejpam-7184	110	1	−	−	PROPN
ejpam-7184	111	1	δr∗	δr∗	NOUN
ejpam-7184	112	1	[	[	X
ejpam-7184	112	2	r	r	X
ejpam-7184	112	3	,	,	PUNCT
ejpam-7184	112	4	n	n	CCONJ
ejpam-7184	112	5	,	,	PUNCT
ejpam-7184	112	6	w	w	PROPN
ejpam-7184	112	7	,	,	PUNCT
ejpam-7184	112	8	l]e((1−	l]e((1−	ADP
ejpam-7184	112	9	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	PRON
ejpam-7184	112	10	(	(	PUNCT
ejpam-7184	112	11	α+	α+	X
ejpam-7184	112	12	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	112	13	y	y	PROPN
ejpam-7184	112	14	(	(	PUNCT
ejpam-7184	112	15	u	u	NOUN
ejpam-7184	112	16	)	)	PUNCT
ejpam-7184	112	17	)	)	PUNCT
ejpam-7184	112	18	)	)	PUNCT
ejpam-7184	112	19	−	−	PROPN
ejpam-7184	112	20	(	(	PUNCT
ejpam-7184	112	21	δr∗	δr∗	CCONJ
ejpam-7184	112	22	[	[	X
ejpam-7184	112	23	r	r	X
ejpam-7184	112	24	,	,	PUNCT
ejpam-7184	112	25	n	n	CCONJ
ejpam-7184	112	26	,	,	PUNCT
ejpam-7184	112	27	w	w	NOUN
ejpam-7184	112	28	,	,	PUNCT
ejpam-7184	112	29	l	l	NOUN
ejpam-7184	112	30	]	]	X
ejpam-7184	112	31	)	)	PUNCT
ejpam-7184	112	32	2	2	NUM
ejpam-7184	112	33	2	2	NUM
ejpam-7184	112	34	e((1−	e((1−	NUM
ejpam-7184	112	35	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	X
ejpam-7184	112	36	(	(	PUNCT
ejpam-7184	112	37	α+	α+	X
ejpam-7184	112	38	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	112	39	y	y	PROPN
ejpam-7184	112	40	(	(	PUNCT
ejpam-7184	112	41	u	u	NOUN
ejpam-7184	112	42	)	)	PUNCT
ejpam-7184	112	43	)	)	PUNCT
ejpam-7184	112	44	)	)	PUNCT
ejpam-7184	112	45	,	,	PUNCT
ejpam-7184	112	46	(	(	PUNCT
ejpam-7184	112	47	2.1	2.1	NUM
ejpam-7184	112	48	)	)	PUNCT
ejpam-7184	113	1	where	where	SCONJ
ejpam-7184	113	2	ε(y	ε(y	PROPN
ejpam-7184	113	3	)	)	PUNCT
ejpam-7184	113	4	is	be	AUX
ejpam-7184	113	5	extropy	extropy	NOUN
ejpam-7184	113	6	for	for	ADP
ejpam-7184	114	1	r.v	r.v	PROPN
ejpam-7184	114	2	.	.	PUNCT
ejpam-7184	114	3	y	y	PROPN
ejpam-7184	114	4	and	and	CCONJ
ejpam-7184	114	5	u	u	PROPN
ejpam-7184	114	6	is	be	AUX
ejpam-7184	114	7	an	an	DET
ejpam-7184	114	8	uniformly	uniformly	ADV
ejpam-7184	114	9	distributed	distribute	VERB
ejpam-7184	114	10	on	on	ADP
ejpam-7184	114	11	u(0	u(0	PROPN
ejpam-7184	114	12	,	,	PUNCT
ejpam-7184	114	13	1	1	NUM
ejpam-7184	114	14	)	)	PUNCT
ejpam-7184	114	15	.	.	PUNCT
ejpam-7184	115	1	proof	proof	NOUN
ejpam-7184	115	2	.	.	PUNCT
ejpam-7184	116	1	from	from	ADP
ejpam-7184	116	2	(	(	PUNCT
ejpam-7184	116	3	1.1	1.1	NUM
ejpam-7184	116	4	)	)	PUNCT
ejpam-7184	116	5	and	and	CCONJ
ejpam-7184	116	6	(	(	PUNCT
ejpam-7184	116	7	1.11	1.11	NUM
ejpam-7184	116	8	)	)	PUNCT
ejpam-7184	116	9	,	,	PUNCT
ejpam-7184	116	10	we	we	PRON
ejpam-7184	116	11	have	have	VERB
ejpam-7184	116	12	m.	m.	NOUN
ejpam-7184	116	13	s.	s.	PROPN
ejpam-7184	116	14	mohamed	mohamed	PROPN
ejpam-7184	116	15	et	et	PROPN
ejpam-7184	117	1	al	al	PROPN
ejpam-7184	117	2	.	.	PUNCT
ejpam-7184	117	3	/	/	SYM
ejpam-7184	117	4	eur	eur	PROPN
ejpam-7184	117	5	.	.	PUNCT
ejpam-7184	118	1	j.	j.	PROPN
ejpam-7184	118	2	pure	pure	PROPN
ejpam-7184	118	3	appl	appl	PROPN
ejpam-7184	118	4	.	.	PROPN
ejpam-7184	118	5	math	math	PROPN
ejpam-7184	118	6	,	,	PUNCT
ejpam-7184	118	7	18	18	NUM
ejpam-7184	118	8	(	(	PUNCT
ejpam-7184	118	9	4	4	NUM
ejpam-7184	118	10	)	)	PUNCT
ejpam-7184	118	11	(	(	PUNCT
ejpam-7184	118	12	2025	2025	NUM
ejpam-7184	118	13	)	)	PUNCT
ejpam-7184	118	14	,	,	PUNCT
ejpam-7184	118	15	7184	7184	NUM
ejpam-7184	118	16	6	6	NUM
ejpam-7184	118	17	of	of	ADP
ejpam-7184	118	18	21	21	NUM
ejpam-7184	118	19	ε(y[r	ε(y[r	NOUN
ejpam-7184	118	20	,	,	PUNCT
ejpam-7184	118	21	n	n	CCONJ
ejpam-7184	118	22	,	,	PUNCT
ejpam-7184	118	23	w	w	NOUN
ejpam-7184	118	24	,	,	PUNCT
ejpam-7184	118	25	l	l	NOUN
ejpam-7184	118	26	]	]	X
ejpam-7184	118	27	)	)	PUNCT
ejpam-7184	119	1	=	=	SYM
ejpam-7184	119	2	−1	−1	NOUN
ejpam-7184	119	3	2	2	NUM
ejpam-7184	119	4	∫	∫	NOUN
ejpam-7184	119	5	∞	∞	NOUN
ejpam-7184	119	6	0	0	NUM
ejpam-7184	120	1	g2(r	g2(r	PROPN
ejpam-7184	120	2	,	,	PUNCT
ejpam-7184	120	3	n	n	CCONJ
ejpam-7184	120	4	,	,	PUNCT
ejpam-7184	120	5	w	w	NOUN
ejpam-7184	120	6	,	,	PUNCT
ejpam-7184	120	7	l)(y)dy	l)(y)dy	NOUN
ejpam-7184	120	8	=	=	SYM
ejpam-7184	120	9	−1	−1	NOUN
ejpam-7184	120	10	2	2	NUM
ejpam-7184	120	11	∫	∫	NOUN
ejpam-7184	120	12	∞	∞	PROPN
ejpam-7184	120	13	0	0	NUM
ejpam-7184	121	1	g2y	g2y	PROPN
ejpam-7184	121	2	(	(	PUNCT
ejpam-7184	121	3	y	y	NOUN
ejpam-7184	121	4	)	)	PUNCT
ejpam-7184	121	5	[	[	PUNCT
ejpam-7184	121	6	1	1	NUM
ejpam-7184	121	7	+	+	NUM
ejpam-7184	121	8	δr∗	δr∗	NOUN
ejpam-7184	121	9	[	[	X
ejpam-7184	121	10	r	r	X
ejpam-7184	121	11	,	,	PUNCT
ejpam-7184	121	12	n	n	CCONJ
ejpam-7184	121	13	,	,	PUNCT
ejpam-7184	121	14	w	w	PROPN
ejpam-7184	121	15	,	,	PUNCT
ejpam-7184	121	16	l]ḡy	l]ḡy	PROPN
ejpam-7184	121	17	(	(	PUNCT
ejpam-7184	121	18	y	y	NOUN
ejpam-7184	121	19	)	)	PUNCT
ejpam-7184	121	20	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	122	1	y	y	PROPN
ejpam-7184	122	2	(	(	PUNCT
ejpam-7184	122	3	y	y	PROPN
ejpam-7184	122	4	)	)	PUNCT
ejpam-7184	122	5	(	(	PUNCT
ejpam-7184	122	6	λ−	λ−	PROPN
ejpam-7184	122	7	(	(	PUNCT
ejpam-7184	122	8	α+	α+	X
ejpam-7184	122	9	λ)gy	λ)gy	PROPN
ejpam-7184	122	10	(	(	PUNCT
ejpam-7184	122	11	y	y	NOUN
ejpam-7184	122	12	)	)	PUNCT
ejpam-7184	122	13	)	)	PUNCT
ejpam-7184	122	14	]	]	PUNCT
ejpam-7184	122	15	2	2	NUM
ejpam-7184	122	16	dy	dy	X
ejpam-7184	122	17	=	=	PUNCT
ejpam-7184	122	18	ε(y	ε(y	PROPN
ejpam-7184	122	19	)	)	PUNCT
ejpam-7184	123	1	−	−	PROPN
ejpam-7184	124	1	δr∗	δr∗	NOUN
ejpam-7184	125	1	[	[	X
ejpam-7184	125	2	r	r	X
ejpam-7184	125	3	,	,	PUNCT
ejpam-7184	125	4	n	n	CCONJ
ejpam-7184	125	5	,	,	PUNCT
ejpam-7184	125	6	w	w	NOUN
ejpam-7184	125	7	,	,	PUNCT
ejpam-7184	125	8	l	l	NOUN
ejpam-7184	125	9	]	]	X
ejpam-7184	125	10	∫	∫	PROPN
ejpam-7184	125	11	∞	∞	PROPN
ejpam-7184	125	12	0	0	NUM
ejpam-7184	126	1	g2y	g2y	PROPN
ejpam-7184	126	2	(	(	PUNCT
ejpam-7184	126	3	y)ḡy	y)ḡy	PROPN
ejpam-7184	126	4	(	(	PUNCT
ejpam-7184	126	5	y	y	NOUN
ejpam-7184	126	6	)	)	PUNCT
ejpam-7184	126	7	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	126	8	y	y	PROPN
ejpam-7184	126	9	(	(	PUNCT
ejpam-7184	126	10	y	y	PROPN
ejpam-7184	126	11	)	)	PUNCT
ejpam-7184	126	12	(	(	PUNCT
ejpam-7184	126	13	λ−	λ−	PROPN
ejpam-7184	126	14	(	(	PUNCT
ejpam-7184	126	15	α+	α+	X
ejpam-7184	126	16	λ)gy	λ)gy	PROPN
ejpam-7184	126	17	(	(	PUNCT
ejpam-7184	126	18	y	y	NOUN
ejpam-7184	126	19	)	)	PUNCT
ejpam-7184	126	20	)	)	PUNCT
ejpam-7184	126	21	dy	dy	NOUN
ejpam-7184	126	22	−	−	PROPN
ejpam-7184	127	1	(	(	PUNCT
ejpam-7184	127	2	δr∗	δr∗	CCONJ
ejpam-7184	127	3	[	[	X
ejpam-7184	127	4	r	r	X
ejpam-7184	127	5	,	,	PUNCT
ejpam-7184	127	6	n	n	CCONJ
ejpam-7184	127	7	,	,	PUNCT
ejpam-7184	127	8	w	w	NOUN
ejpam-7184	127	9	,	,	PUNCT
ejpam-7184	127	10	l	l	NOUN
ejpam-7184	127	11	]	]	X
ejpam-7184	127	12	)	)	PUNCT
ejpam-7184	127	13	2	2	NUM
ejpam-7184	127	14	2	2	NUM
ejpam-7184	127	15	∫	∫	NOUN
ejpam-7184	127	16	∞	∞	PROPN
ejpam-7184	127	17	0	0	NUM
ejpam-7184	127	18	g2y	g2y	PROPN
ejpam-7184	128	1	(	(	PUNCT
ejpam-7184	128	2	y)ḡy	y)ḡy	PROPN
ejpam-7184	128	3	(	(	PUNCT
ejpam-7184	128	4	y	y	NOUN
ejpam-7184	128	5	)	)	PUNCT
ejpam-7184	128	6	2(α−1)g	2(α−1)g	NUM
ejpam-7184	128	7	2(λ−1	2(λ−1	NOUN
ejpam-7184	128	8	)	)	PUNCT
ejpam-7184	128	9	y	y	PROPN
ejpam-7184	128	10	(	(	PUNCT
ejpam-7184	128	11	y	y	PROPN
ejpam-7184	128	12	)	)	PUNCT
ejpam-7184	128	13	(	(	PUNCT
ejpam-7184	128	14	λ−	λ−	PROPN
ejpam-7184	128	15	(	(	PUNCT
ejpam-7184	128	16	α+	α+	X
ejpam-7184	128	17	λ)gy	λ)gy	PROPN
ejpam-7184	128	18	(	(	PUNCT
ejpam-7184	128	19	y	y	NOUN
ejpam-7184	128	20	)	)	PUNCT
ejpam-7184	128	21	)	)	PUNCT
ejpam-7184	128	22	2	2	NUM
ejpam-7184	128	23	dy	dy	NOUN
ejpam-7184	128	24	=	=	PUNCT
ejpam-7184	128	25	ε(y	ε(y	PROPN
ejpam-7184	128	26	)	)	PUNCT
ejpam-7184	129	1	−	−	PROPN
ejpam-7184	130	1	δr∗	δr∗	NOUN
ejpam-7184	131	1	[	[	X
ejpam-7184	131	2	r	r	X
ejpam-7184	131	3	,	,	PUNCT
ejpam-7184	131	4	n	n	CCONJ
ejpam-7184	131	5	,	,	PUNCT
ejpam-7184	131	6	w	w	NOUN
ejpam-7184	131	7	,	,	PUNCT
ejpam-7184	131	8	l	l	NOUN
ejpam-7184	131	9	]	]	X
ejpam-7184	131	10	∫	∫	PROPN
ejpam-7184	131	11	1	1	NUM
ejpam-7184	131	12	0	0	NUM
ejpam-7184	131	13	(	(	PUNCT
ejpam-7184	131	14	1−	1−	NUM
ejpam-7184	131	15	u)α−1	u)α−1	PROPN
ejpam-7184	131	16	uλ−1	uλ−1	PROPN
ejpam-7184	131	17	(	(	PUNCT
ejpam-7184	131	18	λ−	λ−	PROPN
ejpam-7184	131	19	(	(	PUNCT
ejpam-7184	131	20	α+	α+	X
ejpam-7184	131	21	λ)u	λ)u	ADJ
ejpam-7184	131	22	)	)	PUNCT
ejpam-7184	132	1	g(g−1	g(g−1	PROPN
ejpam-7184	132	2	y	y	PROPN
ejpam-7184	132	3	(	(	PUNCT
ejpam-7184	132	4	u))du	u))du	PROPN
ejpam-7184	132	5	−	−	PROPN
ejpam-7184	132	6	(	(	PUNCT
ejpam-7184	132	7	δr∗	δr∗	CCONJ
ejpam-7184	132	8	[	[	X
ejpam-7184	132	9	r	r	X
ejpam-7184	132	10	,	,	PUNCT
ejpam-7184	132	11	n	n	CCONJ
ejpam-7184	132	12	,	,	PUNCT
ejpam-7184	132	13	w	w	NOUN
ejpam-7184	132	14	,	,	PUNCT
ejpam-7184	132	15	l	l	NOUN
ejpam-7184	132	16	]	]	X
ejpam-7184	132	17	)	)	PUNCT
ejpam-7184	132	18	2	2	NUM
ejpam-7184	132	19	2	2	NUM
ejpam-7184	132	20	∫	∫	NOUN
ejpam-7184	132	21	1	1	NUM
ejpam-7184	132	22	0	0	NUM
ejpam-7184	132	23	(	(	PUNCT
ejpam-7184	132	24	1−	1−	NUM
ejpam-7184	132	25	u)2(α−1	u)2(α−1	NOUN
ejpam-7184	132	26	)	)	PUNCT
ejpam-7184	132	27	u2(λ−1	u2(λ−1	NOUN
ejpam-7184	132	28	)	)	PUNCT
ejpam-7184	132	29	(	(	PUNCT
ejpam-7184	132	30	λ−	λ−	PROPN
ejpam-7184	132	31	(	(	PUNCT
ejpam-7184	132	32	α+	α+	X
ejpam-7184	132	33	λ)u)2	λ)u)2	ADJ
ejpam-7184	132	34	g(g−1	g(g−1	ADJ
ejpam-7184	132	35	y	y	PROPN
ejpam-7184	132	36	(	(	PUNCT
ejpam-7184	132	37	u))du	u))du	PROPN
ejpam-7184	132	38	=	=	PROPN
ejpam-7184	132	39	ε(y	ε(y	PROPN
ejpam-7184	132	40	)	)	PUNCT
ejpam-7184	132	41	−	−	PROPN
ejpam-7184	133	1	δr∗	δr∗	NOUN
ejpam-7184	133	2	[	[	X
ejpam-7184	133	3	r	r	X
ejpam-7184	133	4	,	,	PUNCT
ejpam-7184	133	5	n	n	CCONJ
ejpam-7184	133	6	,	,	PUNCT
ejpam-7184	133	7	w	w	PROPN
ejpam-7184	133	8	,	,	PUNCT
ejpam-7184	133	9	l]e((1−	l]e((1−	ADJ
ejpam-7184	133	10	u)α−1	u)α−1	PROPN
ejpam-7184	133	11	uλ−1	uλ−1	PROPN
ejpam-7184	133	12	(	(	PUNCT
ejpam-7184	133	13	λ−	λ−	PROPN
ejpam-7184	133	14	(	(	PUNCT
ejpam-7184	133	15	α+	α+	X
ejpam-7184	133	16	λ)u	λ)u	ADJ
ejpam-7184	133	17	)	)	PUNCT
ejpam-7184	133	18	g(g−1	g(g−1	PROPN
ejpam-7184	133	19	y	y	PROPN
ejpam-7184	133	20	(	(	PUNCT
ejpam-7184	133	21	u	u	NOUN
ejpam-7184	133	22	)	)	PUNCT
ejpam-7184	133	23	)	)	PUNCT
ejpam-7184	133	24	)	)	PUNCT
ejpam-7184	134	1	−	−	PROPN
ejpam-7184	134	2	(	(	PUNCT
ejpam-7184	134	3	δr∗	δr∗	CCONJ
ejpam-7184	134	4	[	[	X
ejpam-7184	134	5	r	r	X
ejpam-7184	134	6	,	,	PUNCT
ejpam-7184	134	7	n	n	CCONJ
ejpam-7184	134	8	,	,	PUNCT
ejpam-7184	134	9	w	w	NOUN
ejpam-7184	134	10	,	,	PUNCT
ejpam-7184	134	11	l	l	NOUN
ejpam-7184	134	12	]	]	X
ejpam-7184	134	13	)	)	PUNCT
ejpam-7184	134	14	2	2	NUM
ejpam-7184	134	15	2	2	NUM
ejpam-7184	134	16	e((1−	e((1−	X
ejpam-7184	134	17	u)2(α−1	u)2(α−1	PROPN
ejpam-7184	134	18	)	)	PUNCT
ejpam-7184	134	19	u2(λ−1	u2(λ−1	NOUN
ejpam-7184	134	20	)	)	PUNCT
ejpam-7184	134	21	(	(	PUNCT
ejpam-7184	134	22	λ−	λ−	PROPN
ejpam-7184	134	23	(	(	PUNCT
ejpam-7184	134	24	α+	α+	X
ejpam-7184	134	25	λ)u)2	λ)u)2	ADJ
ejpam-7184	134	26	g(g−1	g(g−1	ADJ
ejpam-7184	134	27	y	y	PROPN
ejpam-7184	134	28	(	(	PUNCT
ejpam-7184	134	29	u	u	NOUN
ejpam-7184	134	30	)	)	PUNCT
ejpam-7184	134	31	)	)	PUNCT
ejpam-7184	134	32	)	)	PUNCT
ejpam-7184	134	33	,	,	PUNCT
ejpam-7184	134	34	theorem	theorem	VERB
ejpam-7184	134	35	2.1.2	2.1.2	PROPN
ejpam-7184	134	36	.	.	PUNCT
ejpam-7184	134	37	suppose	suppose	VERB
ejpam-7184	134	38	that	that	SCONJ
ejpam-7184	134	39	w	w	PROPN
ejpam-7184	134	40	=	=	SYM
ejpam-7184	134	41	0	0	NUM
ejpam-7184	134	42	and	and	CCONJ
ejpam-7184	134	43	l	l	NOUN
ejpam-7184	134	44	=	=	SYM
ejpam-7184	134	45	1	1	NUM
ejpam-7184	134	46	,	,	PUNCT
ejpam-7184	134	47	the	the	DET
ejpam-7184	134	48	w	w	NOUN
ejpam-7184	134	49	-	-	PUNCT
ejpam-7184	134	50	gos	gos	NOUN
ejpam-7184	134	51	reduces	reduce	VERB
ejpam-7184	134	52	to	to	PART
ejpam-7184	134	53	os	os	VERB
ejpam-7184	134	54	.	.	PUNCT
ejpam-7184	135	1	therefore	therefore	ADV
ejpam-7184	135	2	,	,	PUNCT
ejpam-7184	135	3	the	the	DET
ejpam-7184	135	4	pdf	pdf	NOUN
ejpam-7184	135	5	of	of	ADP
ejpam-7184	135	6	concomitants	concomitant	NOUN
ejpam-7184	135	7	of	of	ADP
ejpam-7184	135	8	os	os	NOUN
ejpam-7184	135	9	from	from	ADP
ejpam-7184	135	10	lai	lai	PROPN
ejpam-7184	135	11	and	and	CCONJ
ejpam-7184	135	12	xie	xie	PROPN
ejpam-7184	135	13	extensions	extension	NOUN
ejpam-7184	135	14	is	be	AUX
ejpam-7184	135	15	given	give	VERB
ejpam-7184	135	16	by	by	ADP
ejpam-7184	135	17	g[r	g[r	NOUN
ejpam-7184	135	18	:	:	PUNCT
ejpam-7184	135	19	n](y	n](y	ADJ
ejpam-7184	135	20	)	)	PUNCT
ejpam-7184	135	21	=	=	SYM
ejpam-7184	135	22	gy	gy	INTJ
ejpam-7184	135	23	(	(	PUNCT
ejpam-7184	135	24	y	y	NOUN
ejpam-7184	135	25	)	)	PUNCT
ejpam-7184	135	26	[	[	PUNCT
ejpam-7184	135	27	1	1	NUM
ejpam-7184	135	28	+	+	NUM
ejpam-7184	135	29	δt	δt	NOUN
ejpam-7184	135	30	∗	∗	NOUN
ejpam-7184	136	1	[	[	X
ejpam-7184	136	2	r	r	X
ejpam-7184	136	3	:	:	PUNCT
ejpam-7184	136	4	n]ḡy	n]ḡy	PROPN
ejpam-7184	136	5	(	(	PUNCT
ejpam-7184	136	6	y	y	NOUN
ejpam-7184	136	7	)	)	PUNCT
ejpam-7184	136	8	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	136	9	y	y	PROPN
ejpam-7184	136	10	(	(	PUNCT
ejpam-7184	136	11	y	y	PROPN
ejpam-7184	136	12	)	)	PUNCT
ejpam-7184	136	13	(	(	PUNCT
ejpam-7184	136	14	λ−	λ−	PROPN
ejpam-7184	136	15	(	(	PUNCT
ejpam-7184	136	16	α+	α+	X
ejpam-7184	136	17	λ)gy	λ)gy	PROPN
ejpam-7184	136	18	(	(	PUNCT
ejpam-7184	136	19	y	y	NOUN
ejpam-7184	136	20	)	)	PUNCT
ejpam-7184	136	21	)	)	PUNCT
ejpam-7184	136	22	]	]	PUNCT
ejpam-7184	136	23	,	,	PUNCT
ejpam-7184	136	24	(	(	PUNCT
ejpam-7184	136	25	2.2	2.2	NUM
ejpam-7184	136	26	)	)	PUNCT
ejpam-7184	136	27	where	where	SCONJ
ejpam-7184	136	28	t	t	PROPN
ejpam-7184	136	29	∗	∗	VERB
ejpam-7184	137	1	[	[	X
ejpam-7184	137	2	r	r	X
ejpam-7184	137	3	:	:	PUNCT
ejpam-7184	137	4	n	n	CCONJ
ejpam-7184	137	5	]	]	PUNCT
ejpam-7184	137	6	=	=	SYM
ejpam-7184	137	7	n	n	X
ejpam-7184	137	8	!	!	PUNCT
ejpam-7184	138	1	(	(	PUNCT
ejpam-7184	138	2	r	r	NOUN
ejpam-7184	138	3	−	−	PROPN
ejpam-7184	138	4	1)!(n−	1)!(n−	NUM
ejpam-7184	138	5	r	r	NOUN
ejpam-7184	138	6	)	)	PUNCT
ejpam-7184	138	7	!	!	PUNCT
ejpam-7184	139	1	β(α+	β(α+	PUNCT
ejpam-7184	140	1	n−	n−	NOUN
ejpam-7184	140	2	r	r	NOUN
ejpam-7184	140	3	,	,	PUNCT
ejpam-7184	140	4	λ+	λ+	VERB
ejpam-7184	140	5	r	r	NOUN
ejpam-7184	140	6	−	−	NOUN
ejpam-7184	140	7	1	1	NUM
ejpam-7184	140	8	)	)	PUNCT
ejpam-7184	140	9	λ(n−	λ(n−	NOUN
ejpam-7184	140	10	r	r	NOUN
ejpam-7184	140	11	)	)	PUNCT
ejpam-7184	140	12	+	+	NUM
ejpam-7184	140	13	α(1−	α(1−	ADJ
ejpam-7184	140	14	r	r	X
ejpam-7184	140	15	)	)	PUNCT
ejpam-7184	140	16	α+	α+	PRON
ejpam-7184	140	17	n+	n+	NUM
ejpam-7184	140	18	λ−	λ−	PROPN
ejpam-7184	140	19	1	1	NUM
ejpam-7184	140	20	.	.	PUNCT
ejpam-7184	141	1	(	(	PUNCT
ejpam-7184	141	2	2.3	2.3	NUM
ejpam-7184	141	3	)	)	PUNCT
ejpam-7184	141	4	proof	proof	NOUN
ejpam-7184	141	5	:	:	PUNCT
ejpam-7184	141	6	since	since	SCONJ
ejpam-7184	141	7	the	the	DET
ejpam-7184	141	8	pdf	pdf	NOUN
ejpam-7184	141	9	of	of	ADP
ejpam-7184	141	10	the	the	DET
ejpam-7184	141	11	r	r	NOUN
ejpam-7184	141	12	-	-	PUNCT
ejpam-7184	141	13	th	th	X
ejpam-7184	141	14	os	os	NOUN
ejpam-7184	141	15	is	be	AUX
ejpam-7184	141	16	given	give	VERB
ejpam-7184	141	17	by	by	ADP
ejpam-7184	141	18	g[r	g[r	NOUN
ejpam-7184	141	19	:	:	PUNCT
ejpam-7184	141	20	n](x	n](x	ADJ
ejpam-7184	141	21	)	)	PUNCT
ejpam-7184	141	22	=	=	SYM
ejpam-7184	141	23	n	n	X
ejpam-7184	141	24	!	!	PUNCT
ejpam-7184	142	1	(	(	PUNCT
ejpam-7184	142	2	r	r	NOUN
ejpam-7184	142	3	−	−	PROPN
ejpam-7184	142	4	1)!(n−	1)!(n−	NUM
ejpam-7184	142	5	r	r	NOUN
ejpam-7184	142	6	)	)	PUNCT
ejpam-7184	142	7	!	!	PUNCT
ejpam-7184	143	1	[	[	X
ejpam-7184	143	2	1−gx(x)]n−r	1−gx(x)]n−r	NUM
ejpam-7184	143	3	gr−1	gr−1	NOUN
ejpam-7184	143	4	x	x	X
ejpam-7184	143	5	(	(	PUNCT
ejpam-7184	143	6	x)gx(x	x)gx(x	ADJ
ejpam-7184	143	7	)	)	PUNCT
ejpam-7184	143	8	.	.	PUNCT
ejpam-7184	144	1	(	(	PUNCT
ejpam-7184	144	2	2.4	2.4	NUM
ejpam-7184	144	3	)	)	PUNCT
ejpam-7184	144	4	from	from	ADP
ejpam-7184	144	5	(	(	PUNCT
ejpam-7184	144	6	1.9	1.9	NUM
ejpam-7184	144	7	)	)	PUNCT
ejpam-7184	144	8	and	and	CCONJ
ejpam-7184	144	9	(	(	PUNCT
ejpam-7184	144	10	2.4	2.4	NUM
ejpam-7184	144	11	)	)	PUNCT
ejpam-7184	144	12	,	,	PUNCT
ejpam-7184	144	13	thus	thus	ADV
ejpam-7184	144	14	the	the	DET
ejpam-7184	144	15	os	os	NOUN
ejpam-7184	144	16	’s	’s	PART
ejpam-7184	144	17	concomitant	concomitant	ADJ
ejpam-7184	144	18	pdf	pdf	NOUN
ejpam-7184	144	19	is	be	AUX
ejpam-7184	144	20	provided	provide	VERB
ejpam-7184	144	21	by	by	ADP
ejpam-7184	144	22	g[r	g[r	NOUN
ejpam-7184	144	23	:	:	PUNCT
ejpam-7184	144	24	n](y	n](y	ADJ
ejpam-7184	144	25	)	)	PUNCT
ejpam-7184	145	1	=	=	SYM
ejpam-7184	146	1	∫	∫	PROPN
ejpam-7184	147	1	∞	∞	PROPN
ejpam-7184	148	1	−∞	−∞	ADP
ejpam-7184	148	2	gy	gy	PROPN
ejpam-7184	148	3	|x(y	|x(y	PROPN
ejpam-7184	148	4	|	|	ADV
ejpam-7184	148	5	x)g[r	x)g[r	ADP
ejpam-7184	148	6	:	:	PUNCT
ejpam-7184	148	7	n](x)dx	n](x)dx	PROPN
ejpam-7184	148	8	=	=	NOUN
ejpam-7184	148	9	gy	gy	INTJ
ejpam-7184	148	10	(	(	PUNCT
ejpam-7184	148	11	y	y	NOUN
ejpam-7184	148	12	)	)	PUNCT
ejpam-7184	148	13	+	+	CCONJ
ejpam-7184	148	14	δ	δ	PROPN
ejpam-7184	148	15	n	n	X
ejpam-7184	148	16	!	!	PUNCT
ejpam-7184	149	1	(	(	PUNCT
ejpam-7184	149	2	r	r	NOUN
ejpam-7184	149	3	−	−	PROPN
ejpam-7184	149	4	1)!(n−	1)!(n−	NUM
ejpam-7184	149	5	r	r	NOUN
ejpam-7184	149	6	)	)	PUNCT
ejpam-7184	149	7	!	!	PUNCT
ejpam-7184	150	1	ḡy	ḡy	PROPN
ejpam-7184	150	2	(	(	PUNCT
ejpam-7184	150	3	y	y	NOUN
ejpam-7184	150	4	)	)	PUNCT
ejpam-7184	150	5	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	150	6	y	y	PROPN
ejpam-7184	150	7	(	(	PUNCT
ejpam-7184	150	8	y	y	PROPN
ejpam-7184	150	9	)	)	PUNCT
ejpam-7184	150	10	(	(	PUNCT
ejpam-7184	150	11	λ−	λ−	PROPN
ejpam-7184	150	12	(	(	PUNCT
ejpam-7184	150	13	α+	α+	X
ejpam-7184	150	14	λ)gy	λ)gy	PROPN
ejpam-7184	150	15	(	(	PUNCT
ejpam-7184	150	16	y	y	NOUN
ejpam-7184	150	17	)	)	PUNCT
ejpam-7184	150	18	)	)	PUNCT
ejpam-7184	150	19	gy	gy	INTJ
ejpam-7184	150	20	(	(	PUNCT
ejpam-7184	150	21	y	y	NOUN
ejpam-7184	150	22	)	)	PUNCT
ejpam-7184	150	23	×	×	NOUN
ejpam-7184	150	24	∫	∫	NOUN
ejpam-7184	150	25	∞	∞	PROPN
ejpam-7184	151	1	−∞	−∞	X
ejpam-7184	151	2	[	[	PUNCT
ejpam-7184	151	3	λgx(x)λ+r−2	λgx(x)λ+r−2	X
ejpam-7184	151	4	−	−	PROPN
ejpam-7184	151	5	(	(	PUNCT
ejpam-7184	151	6	λ+	λ+	PUNCT
ejpam-7184	151	7	α)gx(x)λ+r−1	α)gx(x)λ+r−1	X
ejpam-7184	151	8	]	]	X
ejpam-7184	152	1	gx(x)n−r+α−1gx(x)dx	gx(x)n−r+α−1gx(x)dx	X
ejpam-7184	152	2	.	.	PUNCT
ejpam-7184	152	3	let	let	VERB
ejpam-7184	152	4	t	t	NOUN
ejpam-7184	152	5	=	=	SYM
ejpam-7184	152	6	gx(x	gx(x	NOUN
ejpam-7184	152	7	)	)	PUNCT
ejpam-7184	152	8	,	,	PUNCT
ejpam-7184	152	9	then	then	ADV
ejpam-7184	152	10	we	we	PRON
ejpam-7184	152	11	have	have	VERB
ejpam-7184	152	12	g[r	g[r	NOUN
ejpam-7184	152	13	:	:	PUNCT
ejpam-7184	152	14	n](y	n](y	ADJ
ejpam-7184	152	15	)	)	PUNCT
ejpam-7184	153	1	=	=	SYM
ejpam-7184	153	2	gy	gy	INTJ
ejpam-7184	153	3	(	(	PUNCT
ejpam-7184	153	4	y	y	NOUN
ejpam-7184	153	5	)	)	PUNCT
ejpam-7184	153	6	+	+	CCONJ
ejpam-7184	153	7	δ	δ	PROPN
ejpam-7184	153	8	n	n	X
ejpam-7184	153	9	!	!	PUNCT
ejpam-7184	154	1	(	(	PUNCT
ejpam-7184	154	2	r	r	NOUN
ejpam-7184	154	3	−	−	PROPN
ejpam-7184	154	4	1)!(n−	1)!(n−	NUM
ejpam-7184	154	5	r	r	NOUN
ejpam-7184	154	6	)	)	PUNCT
ejpam-7184	154	7	!	!	PUNCT
ejpam-7184	155	1	ḡy	ḡy	PROPN
ejpam-7184	155	2	(	(	PUNCT
ejpam-7184	155	3	y	y	NOUN
ejpam-7184	155	4	)	)	PUNCT
ejpam-7184	155	5	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	155	6	y	y	PROPN
ejpam-7184	155	7	(	(	PUNCT
ejpam-7184	155	8	y	y	PROPN
ejpam-7184	155	9	)	)	PUNCT
ejpam-7184	155	10	(	(	PUNCT
ejpam-7184	155	11	λ−	λ−	PROPN
ejpam-7184	155	12	(	(	PUNCT
ejpam-7184	155	13	α+	α+	X
ejpam-7184	155	14	λ)gy	λ)gy	PROPN
ejpam-7184	155	15	(	(	PUNCT
ejpam-7184	155	16	y	y	NOUN
ejpam-7184	155	17	)	)	PUNCT
ejpam-7184	155	18	)	)	PUNCT
ejpam-7184	155	19	gy	gy	INTJ
ejpam-7184	155	20	(	(	PUNCT
ejpam-7184	155	21	y	y	NOUN
ejpam-7184	155	22	)	)	PUNCT
ejpam-7184	155	23	×	×	NOUN
ejpam-7184	155	24	∫	∫	NOUN
ejpam-7184	155	25	1	1	NUM
ejpam-7184	155	26	0	0	NUM
ejpam-7184	156	1	[	[	PUNCT
ejpam-7184	156	2	λtn−r+α−1(1−	λtn−r+α−1(1−	X
ejpam-7184	156	3	t)λ+r−2	t)λ+r−2	NUM
ejpam-7184	156	4	−	−	NOUN
ejpam-7184	156	5	(	(	PUNCT
ejpam-7184	156	6	λ+	λ+	NUM
ejpam-7184	156	7	α)tn−r+α−1(1−	α)tn−r+α−1(1−	NUM
ejpam-7184	156	8	t)λ+r−1	t)λ+r−1	PROPN
ejpam-7184	156	9	]	]	PUNCT
ejpam-7184	156	10	dt	dt	PROPN
ejpam-7184	156	11	.	.	PUNCT
ejpam-7184	156	12	m.	m.	PROPN
ejpam-7184	156	13	s.	s.	PROPN
ejpam-7184	156	14	mohamed	mohamed	PROPN
ejpam-7184	156	15	et	et	PROPN
ejpam-7184	156	16	al	al	PROPN
ejpam-7184	156	17	.	.	PUNCT
ejpam-7184	156	18	/	/	SYM
ejpam-7184	156	19	eur	eur	PROPN
ejpam-7184	156	20	.	.	PUNCT
ejpam-7184	157	1	j.	j.	PROPN
ejpam-7184	157	2	pure	pure	PROPN
ejpam-7184	157	3	appl	appl	PROPN
ejpam-7184	157	4	.	.	PROPN
ejpam-7184	157	5	math	math	PROPN
ejpam-7184	157	6	,	,	PUNCT
ejpam-7184	157	7	18	18	NUM
ejpam-7184	157	8	(	(	PUNCT
ejpam-7184	157	9	4	4	NUM
ejpam-7184	157	10	)	)	PUNCT
ejpam-7184	157	11	(	(	PUNCT
ejpam-7184	157	12	2025	2025	NUM
ejpam-7184	157	13	)	)	PUNCT
ejpam-7184	157	14	,	,	PUNCT
ejpam-7184	157	15	7184	7184	NUM
ejpam-7184	157	16	7	7	NUM
ejpam-7184	157	17	of	of	ADP
ejpam-7184	157	18	21	21	NUM
ejpam-7184	157	19	which	which	PRON
ejpam-7184	157	20	proves	prove	VERB
ejpam-7184	157	21	the	the	DET
ejpam-7184	157	22	theorem	theorem	ADJ
ejpam-7184	157	23	.	.	PROPN
ejpam-7184	157	24	corollary	corollary	ADJ
ejpam-7184	157	25	2.1.1	2.1.1	NUM
ejpam-7184	157	26	.	.	PUNCT
ejpam-7184	158	1	according	accord	VERB
ejpam-7184	158	2	to	to	ADP
ejpam-7184	158	3	theorem	theorem	NOUN
ejpam-7184	158	4	(	(	PUNCT
ejpam-7184	158	5	2.1.1	2.1.1	NUM
ejpam-7184	158	6	)	)	PUNCT
ejpam-7184	158	7	,	,	PUNCT
ejpam-7184	158	8	under	under	ADP
ejpam-7184	158	9	the	the	DET
ejpam-7184	158	10	rth	rth	PROPN
ejpam-7184	158	11	concomitants	concomitant	NOUN
ejpam-7184	158	12	os	os	VERB
ejpam-7184	158	13	’s	’s	PART
ejpam-7184	158	14	extropy	extropy	NOUN
ejpam-7184	158	15	,	,	PUNCT
ejpam-7184	158	16	ε(y[r	ε(y[r	ADV
ejpam-7184	158	17	:	:	PUNCT
ejpam-7184	158	18	n	n	CCONJ
ejpam-7184	158	19	]	]	PUNCT
ejpam-7184	158	20	)	)	PUNCT
ejpam-7184	158	21	,	,	PUNCT
ejpam-7184	158	22	is	be	AUX
ejpam-7184	158	23	given	give	VERB
ejpam-7184	158	24	by	by	ADP
ejpam-7184	158	25	ε(y[r	ε(y[r	NUM
ejpam-7184	158	26	:	:	PUNCT
ejpam-7184	158	27	n	n	CCONJ
ejpam-7184	158	28	]	]	PUNCT
ejpam-7184	158	29	)	)	PUNCT
ejpam-7184	159	1	=	=	SYM
ejpam-7184	159	2	ε(y	ε(y	PROPN
ejpam-7184	159	3	)	)	PUNCT
ejpam-7184	160	1	−	−	PROPN
ejpam-7184	160	2	δt	δt	ADP
ejpam-7184	160	3	∗	∗	VERB
ejpam-7184	161	1	[	[	X
ejpam-7184	161	2	r	r	NOUN
ejpam-7184	161	3	:	:	PUNCT
ejpam-7184	161	4	n]e((1−	n]e((1−	PROPN
ejpam-7184	161	5	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	NUM
ejpam-7184	161	6	(	(	PUNCT
ejpam-7184	161	7	α+	α+	PROPN
ejpam-7184	161	8	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	161	9	y	y	PROPN
ejpam-7184	161	10	(	(	PUNCT
ejpam-7184	161	11	u	u	NOUN
ejpam-7184	161	12	)	)	PUNCT
ejpam-7184	161	13	)	)	PUNCT
ejpam-7184	161	14	)	)	PUNCT
ejpam-7184	162	1	−	−	PROPN
ejpam-7184	162	2	(	(	PUNCT
ejpam-7184	162	3	δt	δt	AUX
ejpam-7184	162	4	∗	∗	NOUN
ejpam-7184	163	1	[	[	X
ejpam-7184	163	2	r	r	X
ejpam-7184	163	3	:	:	PUNCT
ejpam-7184	163	4	n	n	CCONJ
ejpam-7184	163	5	]	]	X
ejpam-7184	163	6	)	)	PUNCT
ejpam-7184	163	7	2	2	NUM
ejpam-7184	163	8	2	2	NUM
ejpam-7184	163	9	e((1−	e((1−	NUM
ejpam-7184	163	10	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	X
ejpam-7184	163	11	(	(	PUNCT
ejpam-7184	163	12	α+	α+	X
ejpam-7184	163	13	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	163	14	y	y	PROPN
ejpam-7184	163	15	(	(	PUNCT
ejpam-7184	163	16	u	u	NOUN
ejpam-7184	163	17	)	)	PUNCT
ejpam-7184	163	18	)	)	PUNCT
ejpam-7184	163	19	)	)	PUNCT
ejpam-7184	163	20	.	.	PUNCT
ejpam-7184	164	1	(	(	PUNCT
ejpam-7184	164	2	2.5	2.5	NUM
ejpam-7184	164	3	)	)	PUNCT
ejpam-7184	164	4	therefore	therefore	ADV
ejpam-7184	164	5	,	,	PUNCT
ejpam-7184	164	6	we	we	PRON
ejpam-7184	164	7	have	have	VERB
ejpam-7184	164	8	ε(y[n	ε(y[n	NOUN
ejpam-7184	164	9	:	:	PUNCT
ejpam-7184	164	10	n	n	CCONJ
ejpam-7184	164	11	]	]	PUNCT
ejpam-7184	164	12	)	)	PUNCT
ejpam-7184	165	1	=	=	SYM
ejpam-7184	165	2	ε(y	ε(y	PROPN
ejpam-7184	165	3	)	)	PUNCT
ejpam-7184	166	1	−	−	PROPN
ejpam-7184	166	2	δ	δ	PROPN
ejpam-7184	166	3	αn(1−	αn(1−	PROPN
ejpam-7184	166	4	n	n	CCONJ
ejpam-7184	166	5	)	)	PUNCT
ejpam-7184	166	6	α+	α+	X
ejpam-7184	166	7	λ+	λ+	PUNCT
ejpam-7184	166	8	n−	n−	NOUN
ejpam-7184	166	9	1	1	NUM
ejpam-7184	166	10	β(α	β(α	ADJ
ejpam-7184	166	11	,	,	PUNCT
ejpam-7184	166	12	λ+	λ+	PUNCT
ejpam-7184	166	13	n−	n−	NOUN
ejpam-7184	166	14	1)e((1−	1)e((1−	NUM
ejpam-7184	166	15	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	NUM
ejpam-7184	166	16	(	(	PUNCT
ejpam-7184	166	17	α+	α+	X
ejpam-7184	166	18	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	166	19	y	y	PROPN
ejpam-7184	166	20	(	(	PUNCT
ejpam-7184	166	21	u	u	NOUN
ejpam-7184	166	22	)	)	PUNCT
ejpam-7184	166	23	)	)	PUNCT
ejpam-7184	166	24	)	)	PUNCT
ejpam-7184	166	25	)	)	PUNCT
ejpam-7184	167	1	−	−	NOUN
ejpam-7184	167	2	1	1	NUM
ejpam-7184	167	3	2	2	NUM
ejpam-7184	167	4	{	{	PUNCT
ejpam-7184	167	5	δαn(1−	δαn(1−	PROPN
ejpam-7184	167	6	n	n	CCONJ
ejpam-7184	167	7	)	)	PUNCT
ejpam-7184	167	8	α+	α+	PRON
ejpam-7184	167	9	λ+	λ+	PUNCT
ejpam-7184	167	10	n−	n−	NOUN
ejpam-7184	167	11	1	1	NUM
ejpam-7184	167	12	β(α	β(α	ADJ
ejpam-7184	167	13	,	,	PUNCT
ejpam-7184	167	14	λ+	λ+	PUNCT
ejpam-7184	167	15	n−	n−	NOUN
ejpam-7184	167	16	1)}2e((1−	1)}2e((1−	NUM
ejpam-7184	167	17	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	NOUN
ejpam-7184	167	18	(	(	PUNCT
ejpam-7184	167	19	α+	α+	X
ejpam-7184	167	20	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	167	21	y	y	PROPN
ejpam-7184	167	22	(	(	PUNCT
ejpam-7184	167	23	u	u	NOUN
ejpam-7184	167	24	)	)	PUNCT
ejpam-7184	167	25	)	)	PUNCT
ejpam-7184	167	26	)	)	PUNCT
ejpam-7184	167	27	)	)	PUNCT
ejpam-7184	167	28	,	,	PUNCT
ejpam-7184	167	29	ε(y[1	ε(y[1	PROPN
ejpam-7184	167	30	:	:	PUNCT
ejpam-7184	167	31	n	n	CCONJ
ejpam-7184	167	32	]	]	PUNCT
ejpam-7184	167	33	)	)	PUNCT
ejpam-7184	168	1	=	=	SYM
ejpam-7184	168	2	ε(y	ε(y	PROPN
ejpam-7184	168	3	)	)	PUNCT
ejpam-7184	168	4	−	−	PROPN
ejpam-7184	168	5	δ	δ	PROPN
ejpam-7184	168	6	λn(n−	λn(n−	PROPN
ejpam-7184	168	7	1	1	NUM
ejpam-7184	168	8	)	)	PUNCT
ejpam-7184	168	9	α+	α+	X
ejpam-7184	168	10	λ+	λ+	PUNCT
ejpam-7184	168	11	n−	n−	NOUN
ejpam-7184	168	12	1	1	NUM
ejpam-7184	168	13	β(α+	β(α+	NOUN
ejpam-7184	168	14	n−	n−	NOUN
ejpam-7184	168	15	1	1	NUM
ejpam-7184	168	16	,	,	PUNCT
ejpam-7184	168	17	λ)e((1−	λ)e((1−	PRON
ejpam-7184	168	18	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	NUM
ejpam-7184	168	19	(	(	PUNCT
ejpam-7184	168	20	α+	α+	X
ejpam-7184	168	21	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	168	22	y	y	PROPN
ejpam-7184	168	23	(	(	PUNCT
ejpam-7184	168	24	u	u	NOUN
ejpam-7184	168	25	)	)	PUNCT
ejpam-7184	168	26	)	)	PUNCT
ejpam-7184	168	27	)	)	PUNCT
ejpam-7184	169	1	−	−	NUM
ejpam-7184	169	2	1	1	NUM
ejpam-7184	169	3	2	2	NUM
ejpam-7184	169	4	{	{	PUNCT
ejpam-7184	169	5	δλn(n−	δλn(n−	NOUN
ejpam-7184	169	6	1	1	NUM
ejpam-7184	169	7	)	)	PUNCT
ejpam-7184	169	8	α+	α+	X
ejpam-7184	169	9	λ+	λ+	PUNCT
ejpam-7184	169	10	n−	n−	NOUN
ejpam-7184	169	11	1	1	NUM
ejpam-7184	169	12	β(α+	β(α+	NOUN
ejpam-7184	169	13	n−	n−	NOUN
ejpam-7184	169	14	1	1	NUM
ejpam-7184	169	15	,	,	PUNCT
ejpam-7184	169	16	λ)}2e((1−	λ)}2e((1−	PROPN
ejpam-7184	169	17	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	X
ejpam-7184	169	18	(	(	PUNCT
ejpam-7184	169	19	α+	α+	X
ejpam-7184	169	20	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	169	21	y	y	PROPN
ejpam-7184	169	22	(	(	PUNCT
ejpam-7184	169	23	u	u	NOUN
ejpam-7184	169	24	)	)	PUNCT
ejpam-7184	169	25	)	)	PUNCT
ejpam-7184	169	26	)	)	PUNCT
ejpam-7184	169	27	.	.	PUNCT
ejpam-7184	170	1	remark	remark	VERB
ejpam-7184	170	2	2.1	2.1	NUM
ejpam-7184	170	3	.	.	PUNCT
ejpam-7184	171	1	we	we	PRON
ejpam-7184	171	2	get	get	VERB
ejpam-7184	171	3	a	a	DET
ejpam-7184	171	4	recurrence	recurrence	NOUN
ejpam-7184	171	5	relation	relation	NOUN
ejpam-7184	171	6	between	between	ADP
ejpam-7184	171	7	extropy	extropy	NOUN
ejpam-7184	171	8	for	for	ADP
ejpam-7184	171	9	concomitants	concomitant	NOUN
ejpam-7184	171	10	of	of	ADP
ejpam-7184	171	11	os	os	NOUN
ejpam-7184	171	12	from	from	ADP
ejpam-7184	171	13	lai	lai	PROPN
ejpam-7184	171	14	and	and	CCONJ
ejpam-7184	171	15	xie	xie	PROPN
ejpam-7184	171	16	extensions	extensions	PROPN
ejpam-7184	171	17	y[r+1	y[r+1	PROPN
ejpam-7184	171	18	:	:	PUNCT
ejpam-7184	171	19	n	n	CCONJ
ejpam-7184	171	20	]	]	PUNCT
ejpam-7184	171	21	and	and	CCONJ
ejpam-7184	171	22	y[r	y[r	NOUN
ejpam-7184	171	23	:	:	PUNCT
ejpam-7184	171	24	n	n	CCONJ
ejpam-7184	171	25	]	]	PUNCT
ejpam-7184	171	26	,	,	PUNCT
ejpam-7184	171	27	then	then	ADV
ejpam-7184	171	28	we	we	PRON
ejpam-7184	171	29	have	have	VERB
ejpam-7184	171	30	the	the	DET
ejpam-7184	171	31	result	result	NOUN
ejpam-7184	171	32	from	from	ADP
ejpam-7184	171	33	corollary	corollary	ADJ
ejpam-7184	171	34	(	(	PUNCT
ejpam-7184	171	35	2.1.1	2.1.1	NUM
ejpam-7184	171	36	)	)	PUNCT
ejpam-7184	171	37	as	as	ADP
ejpam-7184	171	38	ε(y[r+1	ε(y[r+1	PROPN
ejpam-7184	171	39	:	:	PUNCT
ejpam-7184	171	40	n])−	n])−	PROPN
ejpam-7184	171	41	ε(y[r	ε(y[r	NOUN
ejpam-7184	171	42	:	:	PUNCT
ejpam-7184	171	43	n	n	CCONJ
ejpam-7184	171	44	]	]	PUNCT
ejpam-7184	171	45	)	)	PUNCT
ejpam-7184	171	46	=	=	SYM
ejpam-7184	171	47	δωr	δωr	PROPN
ejpam-7184	171	48	,	,	PUNCT
ejpam-7184	171	49	ne((1−	ne((1−	PROPN
ejpam-7184	171	50	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	NUM
ejpam-7184	171	51	(	(	PUNCT
ejpam-7184	171	52	α+	α+	X
ejpam-7184	171	53	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	171	54	y	y	PROPN
ejpam-7184	171	55	(	(	PUNCT
ejpam-7184	171	56	u	u	NOUN
ejpam-7184	171	57	)	)	PUNCT
ejpam-7184	171	58	)	)	PUNCT
ejpam-7184	171	59	)	)	PUNCT
ejpam-7184	172	1	−	−	PROPN
ejpam-7184	172	2	δ2	δ2	INTJ
ejpam-7184	172	3	(	(	PUNCT
ejpam-7184	172	4	ωr	ωr	NOUN
ejpam-7184	172	5	,	,	PUNCT
ejpam-7184	172	6	n	n	CCONJ
ejpam-7184	172	7	)	)	PUNCT
ejpam-7184	172	8	2	2	NUM
ejpam-7184	172	9	−	−	NUM
ejpam-7184	172	10	2	2	NUM
ejpam-7184	172	11	t	t	NOUN
ejpam-7184	172	12	∗	∗	NOUN
ejpam-7184	172	13	[	[	X
ejpam-7184	172	14	r	r	X
ejpam-7184	172	15	:	:	PUNCT
ejpam-7184	172	16	n]ωr	n]ωr	PROPN
ejpam-7184	172	17	,	,	PUNCT
ejpam-7184	172	18	n	n	PRON
ejpam-7184	172	19	2	2	NUM
ejpam-7184	172	20	e((1−	e((1−	NUM
ejpam-7184	172	21	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	X
ejpam-7184	172	22	(	(	PUNCT
ejpam-7184	172	23	α+	α+	X
ejpam-7184	172	24	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	172	25	y	y	PROPN
ejpam-7184	172	26	(	(	PUNCT
ejpam-7184	172	27	u	u	NOUN
ejpam-7184	172	28	)	)	PUNCT
ejpam-7184	172	29	)	)	PUNCT
ejpam-7184	172	30	)	)	PUNCT
ejpam-7184	172	31	,	,	PUNCT
ejpam-7184	172	32	where	where	SCONJ
ejpam-7184	172	33	ωr	ωr	NOUN
ejpam-7184	172	34	,	,	PUNCT
ejpam-7184	172	35	n	n	NOUN
ejpam-7184	172	36	=	=	SYM
ejpam-7184	172	37	t	t	NOUN
ejpam-7184	172	38	∗	∗	NOUN
ejpam-7184	173	1	[	[	X
ejpam-7184	173	2	r	r	X
ejpam-7184	173	3	:	:	PUNCT
ejpam-7184	173	4	n	n	CCONJ
ejpam-7184	173	5	]	]	PUNCT
ejpam-7184	173	6	−	−	PROPN
ejpam-7184	173	7	t	t	NOUN
ejpam-7184	173	8	∗	∗	NOUN
ejpam-7184	174	1	[	[	X
ejpam-7184	174	2	r+1	r+1	X
ejpam-7184	174	3	:	:	PUNCT
ejpam-7184	174	4	n	n	CCONJ
ejpam-7184	174	5	]	]	PUNCT
ejpam-7184	174	6	=	=	SYM
ejpam-7184	174	7	c(r−1	c(r−1	PROPN
ejpam-7184	174	8	:	:	PUNCT
ejpam-7184	174	9	n	n	CCONJ
ejpam-7184	174	10	)	)	PUNCT
ejpam-7184	174	11	{	{	PUNCT
ejpam-7184	174	12	λ(n−	λ(n−	NOUN
ejpam-7184	174	13	r	r	NOUN
ejpam-7184	174	14	)	)	PUNCT
ejpam-7184	174	15	+	+	NUM
ejpam-7184	174	16	α(1−	α(1−	ADJ
ejpam-7184	174	17	r	r	X
ejpam-7184	174	18	)	)	PUNCT
ejpam-7184	174	19	(	(	PUNCT
ejpam-7184	174	20	n−	n−	NOUN
ejpam-7184	174	21	r)(α+	r)(α+	NOUN
ejpam-7184	174	22	n+	n+	ADP
ejpam-7184	174	23	λ−	λ−	PROPN
ejpam-7184	174	24	1	1	NUM
ejpam-7184	174	25	)	)	PUNCT
ejpam-7184	174	26	β(α+	β(α+	PUNCT
ejpam-7184	174	27	n−	n−	NOUN
ejpam-7184	174	28	r	r	NOUN
ejpam-7184	174	29	,	,	PUNCT
ejpam-7184	174	30	λ+	λ+	VERB
ejpam-7184	174	31	r	r	NOUN
ejpam-7184	174	32	−	−	NOUN
ejpam-7184	174	33	1	1	NUM
ejpam-7184	174	34	)	)	PUNCT
ejpam-7184	174	35	−	−	PROPN
ejpam-7184	175	1	(	(	PUNCT
ejpam-7184	175	2	λ(n−	λ(n−	NOUN
ejpam-7184	175	3	r	r	NOUN
ejpam-7184	175	4	−	−	PROPN
ejpam-7184	175	5	1)−	1)−	NUM
ejpam-7184	175	6	αr	αr	NOUN
ejpam-7184	175	7	)	)	PUNCT
ejpam-7184	175	8	r(α+	r(α+	NOUN
ejpam-7184	175	9	n−	n−	NOUN
ejpam-7184	175	10	λ−	λ−	PROPN
ejpam-7184	175	11	1	1	NUM
ejpam-7184	175	12	)	)	PUNCT
ejpam-7184	175	13	β(α+	β(α+	PUNCT
ejpam-7184	176	1	n−	n−	NOUN
ejpam-7184	176	2	r	r	NOUN
ejpam-7184	176	3	−	−	NOUN
ejpam-7184	176	4	1	1	NUM
ejpam-7184	176	5	,	,	PUNCT
ejpam-7184	176	6	λ+	λ+	VERB
ejpam-7184	176	7	r	r	NOUN
ejpam-7184	176	8	)	)	PUNCT
ejpam-7184	176	9	}	}	PUNCT
ejpam-7184	176	10	,	,	PUNCT
ejpam-7184	176	11	and	and	CCONJ
ejpam-7184	176	12	c(r−1	c(r−1	PROPN
ejpam-7184	176	13	:	:	PUNCT
ejpam-7184	176	14	n	n	NUM
ejpam-7184	176	15	)	)	PUNCT
ejpam-7184	176	16	=	=	SYM
ejpam-7184	176	17	n	n	X
ejpam-7184	176	18	!	!	PUNCT
ejpam-7184	177	1	(	(	PUNCT
ejpam-7184	177	2	r	r	NOUN
ejpam-7184	177	3	−	−	PROPN
ejpam-7184	177	4	1)!(n−	1)!(n−	NUM
ejpam-7184	177	5	r	r	NOUN
ejpam-7184	177	6	−	−	NOUN
ejpam-7184	177	7	1	1	NUM
ejpam-7184	177	8	)	)	PUNCT
ejpam-7184	177	9	!	!	PUNCT
ejpam-7184	177	10	.	.	PUNCT
ejpam-7184	178	1	remark	remark	VERB
ejpam-7184	178	2	2.2	2.2	NUM
ejpam-7184	178	3	.	.	PUNCT
ejpam-7184	179	1	we	we	PRON
ejpam-7184	179	2	get	get	VERB
ejpam-7184	179	3	a	a	DET
ejpam-7184	179	4	recurrence	recurrence	NOUN
ejpam-7184	179	5	relation	relation	NOUN
ejpam-7184	179	6	between	between	ADP
ejpam-7184	179	7	extropy	extropy	NOUN
ejpam-7184	179	8	for	for	ADP
ejpam-7184	179	9	concomitants	concomitant	NOUN
ejpam-7184	179	10	of	of	ADP
ejpam-7184	179	11	os	os	NOUN
ejpam-7184	179	12	from	from	ADP
ejpam-7184	179	13	lai	lai	PROPN
ejpam-7184	179	14	and	and	CCONJ
ejpam-7184	179	15	xie	xie	PROPN
ejpam-7184	179	16	extensions	extensions	PROPN
ejpam-7184	179	17	y[r	y[r	PROPN
ejpam-7184	179	18	:	:	PUNCT
ejpam-7184	179	19	n−1	n−1	PROPN
ejpam-7184	179	20	]	]	PUNCT
ejpam-7184	179	21	and	and	CCONJ
ejpam-7184	179	22	y[r	y[r	NOUN
ejpam-7184	179	23	:	:	PUNCT
ejpam-7184	179	24	n	n	CCONJ
ejpam-7184	179	25	]	]	PUNCT
ejpam-7184	179	26	,	,	PUNCT
ejpam-7184	179	27	then	then	ADV
ejpam-7184	179	28	we	we	PRON
ejpam-7184	179	29	have	have	VERB
ejpam-7184	179	30	the	the	DET
ejpam-7184	179	31	result	result	NOUN
ejpam-7184	179	32	from	from	ADP
ejpam-7184	179	33	corollary	corollary	ADJ
ejpam-7184	179	34	(	(	PUNCT
ejpam-7184	179	35	2.1.1	2.1.1	NUM
ejpam-7184	179	36	)	)	PUNCT
ejpam-7184	179	37	m.	m.	NOUN
ejpam-7184	179	38	s.	s.	PROPN
ejpam-7184	179	39	mohamed	mohamed	PROPN
ejpam-7184	179	40	et	et	PROPN
ejpam-7184	179	41	al	al	PROPN
ejpam-7184	179	42	.	.	PUNCT
ejpam-7184	179	43	/	/	SYM
ejpam-7184	179	44	eur	eur	PROPN
ejpam-7184	179	45	.	.	PUNCT
ejpam-7184	180	1	j.	j.	PROPN
ejpam-7184	180	2	pure	pure	PROPN
ejpam-7184	180	3	appl	appl	PROPN
ejpam-7184	180	4	.	.	PROPN
ejpam-7184	180	5	math	math	PROPN
ejpam-7184	180	6	,	,	PUNCT
ejpam-7184	180	7	18	18	NUM
ejpam-7184	180	8	(	(	PUNCT
ejpam-7184	180	9	4	4	NUM
ejpam-7184	180	10	)	)	PUNCT
ejpam-7184	180	11	(	(	PUNCT
ejpam-7184	180	12	2025	2025	NUM
ejpam-7184	180	13	)	)	PUNCT
ejpam-7184	180	14	,	,	PUNCT
ejpam-7184	180	15	7184	7184	NUM
ejpam-7184	180	16	8	8	NUM
ejpam-7184	180	17	of	of	ADP
ejpam-7184	180	18	21	21	NUM
ejpam-7184	180	19	as	as	ADP
ejpam-7184	180	20	ε(y[r	ε(y[r	ADV
ejpam-7184	180	21	:	:	PUNCT
ejpam-7184	180	22	n−1])−	n−1])−	NOUN
ejpam-7184	180	23	ε(y[r	ε(y[r	NUM
ejpam-7184	180	24	:	:	PUNCT
ejpam-7184	180	25	n	n	CCONJ
ejpam-7184	180	26	]	]	PUNCT
ejpam-7184	180	27	)	)	PUNCT
ejpam-7184	181	1	=	=	PRON
ejpam-7184	181	2	δω∗	δω∗	NOUN
ejpam-7184	181	3	r	r	NOUN
ejpam-7184	181	4	,	,	PUNCT
ejpam-7184	181	5	ne((1−	ne((1−	PROPN
ejpam-7184	181	6	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	NUM
ejpam-7184	181	7	(	(	PUNCT
ejpam-7184	181	8	α+	α+	X
ejpam-7184	181	9	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	181	10	y	y	PROPN
ejpam-7184	181	11	(	(	PUNCT
ejpam-7184	181	12	u	u	NOUN
ejpam-7184	181	13	)	)	PUNCT
ejpam-7184	181	14	)	)	PUNCT
ejpam-7184	181	15	)	)	PUNCT
ejpam-7184	182	1	−	−	PROPN
ejpam-7184	182	2	δ2	δ2	INTJ
ejpam-7184	182	3	(	(	PUNCT
ejpam-7184	182	4	ω∗	ω∗	NOUN
ejpam-7184	182	5	r	r	NOUN
ejpam-7184	182	6	,	,	PUNCT
ejpam-7184	182	7	n	n	CCONJ
ejpam-7184	182	8	)	)	PUNCT
ejpam-7184	182	9	2	2	NUM
ejpam-7184	182	10	−	−	NUM
ejpam-7184	182	11	2	2	NUM
ejpam-7184	182	12	t	t	NOUN
ejpam-7184	182	13	∗	∗	NOUN
ejpam-7184	182	14	[	[	X
ejpam-7184	182	15	r	r	X
ejpam-7184	182	16	:	:	PUNCT
ejpam-7184	182	17	n−1]ω	n−1]ω	NUM
ejpam-7184	182	18	∗	∗	NOUN
ejpam-7184	182	19	r	r	NOUN
ejpam-7184	182	20	,	,	PUNCT
ejpam-7184	182	21	n	n	PRON
ejpam-7184	182	22	2	2	NUM
ejpam-7184	182	23	e((1−	e((1−	X
ejpam-7184	182	24	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	X
ejpam-7184	182	25	(	(	PUNCT
ejpam-7184	182	26	α+	α+	X
ejpam-7184	182	27	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	182	28	y	y	PROPN
ejpam-7184	182	29	(	(	PUNCT
ejpam-7184	182	30	u	u	NOUN
ejpam-7184	182	31	)	)	PUNCT
ejpam-7184	182	32	)	)	PUNCT
ejpam-7184	182	33	)	)	PUNCT
ejpam-7184	182	34	,	,	PUNCT
ejpam-7184	182	35	(	(	PUNCT
ejpam-7184	182	36	2.6	2.6	NUM
ejpam-7184	182	37	)	)	PUNCT
ejpam-7184	182	38	where	where	SCONJ
ejpam-7184	182	39	ω∗	ω∗	NOUN
ejpam-7184	182	40	r	r	NOUN
ejpam-7184	182	41	,	,	PUNCT
ejpam-7184	182	42	n	n	NOUN
ejpam-7184	182	43	=	=	SYM
ejpam-7184	182	44	t	t	NOUN
ejpam-7184	182	45	∗	∗	NOUN
ejpam-7184	183	1	[	[	X
ejpam-7184	183	2	r	r	X
ejpam-7184	183	3	:	:	PUNCT
ejpam-7184	183	4	n	n	CCONJ
ejpam-7184	183	5	]	]	PUNCT
ejpam-7184	183	6	−	−	PROPN
ejpam-7184	183	7	t	t	NOUN
ejpam-7184	183	8	∗	∗	NOUN
ejpam-7184	184	1	[	[	X
ejpam-7184	184	2	r	r	X
ejpam-7184	184	3	:	:	PUNCT
ejpam-7184	184	4	n−1	n−1	PROPN
ejpam-7184	184	5	]	]	X
ejpam-7184	184	6	=	=	SYM
ejpam-7184	184	7	(	(	PUNCT
ejpam-7184	184	8	n−	n−	NOUN
ejpam-7184	184	9	1	1	NUM
ejpam-7184	184	10	)	)	PUNCT
ejpam-7184	184	11	!	!	PUNCT
ejpam-7184	185	1	(	(	PUNCT
ejpam-7184	185	2	r	r	NOUN
ejpam-7184	185	3	−	−	PROPN
ejpam-7184	185	4	1)!(n−	1)!(n−	NUM
ejpam-7184	185	5	r	r	NOUN
ejpam-7184	185	6	−	−	NOUN
ejpam-7184	185	7	1	1	NUM
ejpam-7184	185	8	)	)	PUNCT
ejpam-7184	185	9	!	!	PUNCT
ejpam-7184	186	1	{	{	PUNCT
ejpam-7184	187	1	n(λ(n−	n(λ(n−	NUM
ejpam-7184	187	2	r	r	NOUN
ejpam-7184	187	3	)	)	PUNCT
ejpam-7184	187	4	+	+	NUM
ejpam-7184	187	5	α(r	α(r	NOUN
ejpam-7184	187	6	−	−	PROPN
ejpam-7184	187	7	1))(α+	1))(α+	NUM
ejpam-7184	187	8	n+	n+	ADP
ejpam-7184	187	9	r	r	NOUN
ejpam-7184	187	10	−	−	NOUN
ejpam-7184	187	11	1	1	NUM
ejpam-7184	187	12	)	)	PUNCT
ejpam-7184	187	13	(	(	PUNCT
ejpam-7184	187	14	n−	n−	NOUN
ejpam-7184	187	15	r)(α+	r)(α+	VERB
ejpam-7184	187	16	n+	n+	ADP
ejpam-7184	187	17	λ)(α+	λ)(α+	NOUN
ejpam-7184	187	18	n+	n+	PUNCT
ejpam-7184	187	19	λ−	λ−	PROPN
ejpam-7184	187	20	1	1	NUM
ejpam-7184	187	21	)	)	PUNCT
ejpam-7184	188	1	−	−	NOUN
ejpam-7184	188	2	λ(n−	λ(n−	NOUN
ejpam-7184	188	3	r	r	NOUN
ejpam-7184	188	4	−	−	NOUN
ejpam-7184	188	5	1	1	NUM
ejpam-7184	188	6	)	)	PUNCT
ejpam-7184	189	1	+	+	NUM
ejpam-7184	189	2	α(r	α(r	NOUN
ejpam-7184	189	3	−	−	NOUN
ejpam-7184	189	4	1	1	NUM
ejpam-7184	189	5	)	)	PUNCT
ejpam-7184	189	6	α+	α+	X
ejpam-7184	189	7	n+	n+	NUM
ejpam-7184	189	8	λ−	λ−	PROPN
ejpam-7184	189	9	2	2	NUM
ejpam-7184	189	10	}	}	PUNCT
ejpam-7184	189	11	β(α+	β(α+	PUNCT
ejpam-7184	189	12	n−	n−	NOUN
ejpam-7184	189	13	r	r	NOUN
ejpam-7184	189	14	−	−	NOUN
ejpam-7184	189	15	1	1	NUM
ejpam-7184	189	16	,	,	PUNCT
ejpam-7184	189	17	λ+	λ+	PUNCT
ejpam-7184	189	18	r	r	NOUN
ejpam-7184	189	19	−	−	NOUN
ejpam-7184	189	20	1	1	NUM
ejpam-7184	189	21	)	)	PUNCT
ejpam-7184	189	22	.	.	PUNCT
ejpam-7184	190	1	theorem	theorem	VERB
ejpam-7184	190	2	2.1.3	2.1.3	NUM
ejpam-7184	190	3	.	.	PUNCT
ejpam-7184	191	1	the	the	DET
ejpam-7184	191	2	record	record	NOUN
ejpam-7184	191	3	value	value	NOUN
ejpam-7184	191	4	is	be	AUX
ejpam-7184	191	5	a	a	DET
ejpam-7184	191	6	special	special	ADJ
ejpam-7184	191	7	case	case	NOUN
ejpam-7184	191	8	of	of	ADP
ejpam-7184	191	9	the	the	DET
ejpam-7184	191	10	w	w	NOUN
ejpam-7184	191	11	-	-	PUNCT
ejpam-7184	191	12	gos	gos	NOUN
ejpam-7184	191	13	with	with	ADP
ejpam-7184	191	14	w	w	NOUN
ejpam-7184	191	15	=	=	PUNCT
ejpam-7184	191	16	−1	−1	NOUN
ejpam-7184	191	17	and	and	CCONJ
ejpam-7184	191	18	l	l	NOUN
ejpam-7184	191	19	=	=	SYM
ejpam-7184	192	1	1	1	X
ejpam-7184	192	2	.	.	PUNCT
ejpam-7184	192	3	therefore	therefore	ADV
ejpam-7184	192	4	,	,	PUNCT
ejpam-7184	192	5	the	the	DET
ejpam-7184	192	6	pdf	pdf	NOUN
ejpam-7184	192	7	of	of	ADP
ejpam-7184	192	8	concomitants	concomitant	NOUN
ejpam-7184	192	9	of	of	ADP
ejpam-7184	192	10	record	record	NOUN
ejpam-7184	192	11	value	value	NOUN
ejpam-7184	192	12	from	from	ADP
ejpam-7184	192	13	lai	lai	PROPN
ejpam-7184	192	14	and	and	CCONJ
ejpam-7184	192	15	xie	xie	PROPN
ejpam-7184	192	16	extensions	extension	NOUN
ejpam-7184	192	17	is	be	AUX
ejpam-7184	192	18	given	give	VERB
ejpam-7184	192	19	by	by	ADP
ejpam-7184	192	20	gl(n)(y	gl(n)(y	PROPN
ejpam-7184	192	21	)	)	PUNCT
ejpam-7184	193	1	=	=	PUNCT
ejpam-7184	193	2	gy	gy	INTJ
ejpam-7184	193	3	(	(	PUNCT
ejpam-7184	193	4	y	y	NOUN
ejpam-7184	193	5	)	)	PUNCT
ejpam-7184	193	6	[	[	PUNCT
ejpam-7184	193	7	1	1	NUM
ejpam-7184	193	8	+	+	CCONJ
ejpam-7184	193	9	δµ∗	δµ∗	VERB
ejpam-7184	193	10	l(n)ḡy	l(n)ḡy	NOUN
ejpam-7184	193	11	(	(	PUNCT
ejpam-7184	193	12	y	y	NOUN
ejpam-7184	193	13	)	)	PUNCT
ejpam-7184	193	14	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	193	15	y	y	PROPN
ejpam-7184	193	16	(	(	PUNCT
ejpam-7184	193	17	y	y	PROPN
ejpam-7184	193	18	)	)	PUNCT
ejpam-7184	193	19	(	(	PUNCT
ejpam-7184	193	20	λ−	λ−	PROPN
ejpam-7184	193	21	(	(	PUNCT
ejpam-7184	193	22	α+	α+	X
ejpam-7184	193	23	λ)gy	λ)gy	PROPN
ejpam-7184	193	24	(	(	PUNCT
ejpam-7184	193	25	y	y	NOUN
ejpam-7184	193	26	)	)	PUNCT
ejpam-7184	193	27	)	)	PUNCT
ejpam-7184	193	28	]	]	PUNCT
ejpam-7184	193	29	,	,	PUNCT
ejpam-7184	193	30	(	(	PUNCT
ejpam-7184	193	31	2.7	2.7	NUM
ejpam-7184	193	32	)	)	PUNCT
ejpam-7184	193	33	where	where	SCONJ
ejpam-7184	193	34	µ∗	µ∗	PROPN
ejpam-7184	193	35	l(n	l(n	PROPN
ejpam-7184	193	36	)	)	PUNCT
ejpam-7184	193	37	=	=	PUNCT
ejpam-7184	193	38	α−1∑	α−1∑	NUM
ejpam-7184	193	39	ϵ=0	ϵ=0	PUNCT
ejpam-7184	193	40	(	(	PUNCT
ejpam-7184	193	41	α−	α−	ADP
ejpam-7184	193	42	1	1	NUM
ejpam-7184	193	43	ϵ	ϵ	NOUN
ejpam-7184	193	44	)	)	PUNCT
ejpam-7184	193	45	(	(	PUNCT
ejpam-7184	193	46	−1)ϵ	−1)ϵ	X
ejpam-7184	193	47	[	[	PUNCT
ejpam-7184	193	48	α+	α+	X
ejpam-7184	193	49	λ	λ	X
ejpam-7184	193	50	(	(	PUNCT
ejpam-7184	193	51	−(λ+	−(λ+	PROPN
ejpam-7184	193	52	ϵ	ϵ	NOUN
ejpam-7184	193	53	)	)	PUNCT
ejpam-7184	193	54	+	+	CCONJ
ejpam-7184	193	55	1)n	1)n	X
ejpam-7184	193	56	−	−	ADP
ejpam-7184	194	1	λ	λ	INTJ
ejpam-7184	194	2	(	(	PUNCT
ejpam-7184	194	3	−(λ+	−(λ+	PRON
ejpam-7184	194	4	ϵ))n	ϵ))n	VERB
ejpam-7184	194	5	]	]	X
ejpam-7184	194	6	.	.	PUNCT
ejpam-7184	195	1	(	(	PUNCT
ejpam-7184	195	2	2.8	2.8	NUM
ejpam-7184	195	3	)	)	PUNCT
ejpam-7184	195	4	proof	proof	NOUN
ejpam-7184	195	5	:	:	PUNCT
ejpam-7184	195	6	since	since	SCONJ
ejpam-7184	195	7	the	the	DET
ejpam-7184	195	8	pdf	pdf	NOUN
ejpam-7184	195	9	of	of	ADP
ejpam-7184	195	10	the	the	DET
ejpam-7184	195	11	nth	nth	NOUN
ejpam-7184	195	12	lower	low	ADJ
ejpam-7184	195	13	record	record	NOUN
ejpam-7184	195	14	is	be	AUX
ejpam-7184	195	15	given	give	VERB
ejpam-7184	195	16	by	by	ADP
ejpam-7184	195	17	gl(n)(x	gl(n)(x	PROPN
ejpam-7184	195	18	)	)	PUNCT
ejpam-7184	195	19	=	=	SYM
ejpam-7184	196	1	1	1	NUM
ejpam-7184	196	2	(	(	PUNCT
ejpam-7184	196	3	n−	n−	NOUN
ejpam-7184	196	4	1	1	NUM
ejpam-7184	196	5	)	)	PUNCT
ejpam-7184	196	6	!	!	PUNCT
ejpam-7184	197	1	[	[	X
ejpam-7184	197	2	−	−	X
ejpam-7184	197	3	lngx(x)]n−1	lngx(x)]n−1	ADJ
ejpam-7184	197	4	gx(x	gx(x	NOUN
ejpam-7184	197	5	)	)	PUNCT
ejpam-7184	197	6	.	.	PUNCT
ejpam-7184	198	1	(	(	PUNCT
ejpam-7184	198	2	2.9	2.9	NUM
ejpam-7184	198	3	)	)	PUNCT
ejpam-7184	198	4	from	from	ADP
ejpam-7184	198	5	(	(	PUNCT
ejpam-7184	198	6	1.9	1.9	NUM
ejpam-7184	198	7	)	)	PUNCT
ejpam-7184	198	8	and	and	CCONJ
ejpam-7184	198	9	(	(	PUNCT
ejpam-7184	198	10	2.9	2.9	NUM
ejpam-7184	198	11	)	)	PUNCT
ejpam-7184	198	12	,	,	PUNCT
ejpam-7184	198	13	then	then	ADV
ejpam-7184	198	14	the	the	DET
ejpam-7184	198	15	pdf	pdf	NOUN
ejpam-7184	198	16	of	of	ADP
ejpam-7184	198	17	the	the	DET
ejpam-7184	198	18	concomitant	concomitant	NOUN
ejpam-7184	198	19	of	of	ADP
ejpam-7184	198	20	the	the	DET
ejpam-7184	198	21	nth	nth	NOUN
ejpam-7184	198	22	lower	low	ADJ
ejpam-7184	198	23	record	record	NOUN
ejpam-7184	198	24	is	be	AUX
ejpam-7184	198	25	given	give	VERB
ejpam-7184	198	26	by	by	ADP
ejpam-7184	198	27	gl(n)(y	gl(n)(y	PROPN
ejpam-7184	198	28	)	)	PUNCT
ejpam-7184	199	1	=	=	SYM
ejpam-7184	200	1	∫	∫	PROPN
ejpam-7184	200	2	∞	∞	PROPN
ejpam-7184	201	1	−∞	−∞	ADP
ejpam-7184	201	2	gy	gy	PROPN
ejpam-7184	201	3	|x(y	|x(y	PROPN
ejpam-7184	201	4	|	|	ADV
ejpam-7184	201	5	x)gl(n)(x)dx	x)gl(n)(x)dx	VERB
ejpam-7184	201	6	=	=	SYM
ejpam-7184	201	7	gy	gy	PROPN
ejpam-7184	201	8	(	(	PUNCT
ejpam-7184	201	9	y	y	NOUN
ejpam-7184	201	10	)	)	PUNCT
ejpam-7184	202	1	+	+	CCONJ
ejpam-7184	202	2	δ	δ	PROPN
ejpam-7184	202	3	(	(	PUNCT
ejpam-7184	202	4	n−	n−	NOUN
ejpam-7184	202	5	1	1	NUM
ejpam-7184	202	6	)	)	PUNCT
ejpam-7184	202	7	!	!	PUNCT
ejpam-7184	203	1	ḡy	ḡy	PROPN
ejpam-7184	203	2	(	(	PUNCT
ejpam-7184	203	3	y	y	NOUN
ejpam-7184	203	4	)	)	PUNCT
ejpam-7184	203	5	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	203	6	y	y	PROPN
ejpam-7184	203	7	(	(	PUNCT
ejpam-7184	203	8	y	y	PROPN
ejpam-7184	203	9	)	)	PUNCT
ejpam-7184	203	10	(	(	PUNCT
ejpam-7184	203	11	λ−	λ−	PROPN
ejpam-7184	203	12	(	(	PUNCT
ejpam-7184	203	13	α+	α+	X
ejpam-7184	203	14	λ)gy	λ)gy	PROPN
ejpam-7184	203	15	(	(	PUNCT
ejpam-7184	203	16	y	y	NOUN
ejpam-7184	203	17	)	)	PUNCT
ejpam-7184	203	18	)	)	PUNCT
ejpam-7184	203	19	gy	gy	INTJ
ejpam-7184	203	20	(	(	PUNCT
ejpam-7184	203	21	y	y	NOUN
ejpam-7184	203	22	)	)	PUNCT
ejpam-7184	203	23	×	×	NOUN
ejpam-7184	203	24	∫	∫	NOUN
ejpam-7184	203	25	∞	∞	PROPN
ejpam-7184	203	26	−∞	−∞	X
ejpam-7184	203	27	ḡx(x)α−1gλ−1	ḡx(x)α−1gλ−1	NOUN
ejpam-7184	203	28	x	x	SYM
ejpam-7184	203	29	(	(	PUNCT
ejpam-7184	203	30	x	x	X
ejpam-7184	203	31	)	)	PUNCT
ejpam-7184	203	32	(	(	PUNCT
ejpam-7184	203	33	λ−	λ−	PROPN
ejpam-7184	203	34	(	(	PUNCT
ejpam-7184	203	35	α+	α+	NOUN
ejpam-7184	203	36	λ)gx(x	λ)gx(x	NOUN
ejpam-7184	203	37	)	)	PUNCT
ejpam-7184	203	38	)	)	PUNCT
ejpam-7184	204	1	[	[	X
ejpam-7184	204	2	−	−	X
ejpam-7184	204	3	lngx(x)]n−1	lngx(x)]n−1	ADJ
ejpam-7184	204	4	gx(x)dx	gx(x)dx	NOUN
ejpam-7184	204	5	,	,	PUNCT
ejpam-7184	204	6	m.	m.	NOUN
ejpam-7184	204	7	s.	s.	PROPN
ejpam-7184	204	8	mohamed	mohamed	PROPN
ejpam-7184	204	9	et	et	PROPN
ejpam-7184	204	10	al	al	PROPN
ejpam-7184	204	11	.	.	PUNCT
ejpam-7184	204	12	/	/	SYM
ejpam-7184	204	13	eur	eur	PROPN
ejpam-7184	204	14	.	.	PUNCT
ejpam-7184	205	1	j.	j.	PROPN
ejpam-7184	205	2	pure	pure	PROPN
ejpam-7184	205	3	appl	appl	PROPN
ejpam-7184	205	4	.	.	PROPN
ejpam-7184	205	5	math	math	PROPN
ejpam-7184	205	6	,	,	PUNCT
ejpam-7184	205	7	18	18	NUM
ejpam-7184	205	8	(	(	PUNCT
ejpam-7184	205	9	4	4	NUM
ejpam-7184	205	10	)	)	PUNCT
ejpam-7184	205	11	(	(	PUNCT
ejpam-7184	205	12	2025	2025	NUM
ejpam-7184	205	13	)	)	PUNCT
ejpam-7184	205	14	,	,	PUNCT
ejpam-7184	205	15	7184	7184	NUM
ejpam-7184	205	16	9	9	NUM
ejpam-7184	205	17	of	of	ADP
ejpam-7184	205	18	21	21	NUM
ejpam-7184	205	19	let	let	VERB
ejpam-7184	205	20	t	t	NOUN
ejpam-7184	205	21	=	=	PUNCT
ejpam-7184	206	1	[	[	X
ejpam-7184	206	2	−	−	X
ejpam-7184	206	3	lngx(x	lngx(x	PROPN
ejpam-7184	206	4	)	)	PUNCT
ejpam-7184	206	5	]	]	PUNCT
ejpam-7184	206	6	,	,	PUNCT
ejpam-7184	206	7	then	then	ADV
ejpam-7184	206	8	we	we	PRON
ejpam-7184	206	9	have	have	VERB
ejpam-7184	206	10	gl(n)(y	gl(n)(y	NOUN
ejpam-7184	206	11	)	)	PUNCT
ejpam-7184	207	1	=	=	PUNCT
ejpam-7184	207	2	gy	gy	INTJ
ejpam-7184	207	3	(	(	PUNCT
ejpam-7184	207	4	y	y	NOUN
ejpam-7184	207	5	)	)	PUNCT
ejpam-7184	207	6	+	+	CCONJ
ejpam-7184	207	7	δ	δ	PROPN
ejpam-7184	207	8	(	(	PUNCT
ejpam-7184	207	9	n−	n−	NOUN
ejpam-7184	207	10	1	1	NUM
ejpam-7184	207	11	)	)	PUNCT
ejpam-7184	207	12	!	!	PUNCT
ejpam-7184	208	1	ḡy	ḡy	PROPN
ejpam-7184	208	2	(	(	PUNCT
ejpam-7184	208	3	y	y	NOUN
ejpam-7184	208	4	)	)	PUNCT
ejpam-7184	208	5	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	208	6	y	y	PROPN
ejpam-7184	208	7	(	(	PUNCT
ejpam-7184	208	8	y	y	PROPN
ejpam-7184	208	9	)	)	PUNCT
ejpam-7184	208	10	(	(	PUNCT
ejpam-7184	208	11	λ−	λ−	PROPN
ejpam-7184	208	12	(	(	PUNCT
ejpam-7184	208	13	α+	α+	X
ejpam-7184	208	14	λ)gy	λ)gy	PROPN
ejpam-7184	208	15	(	(	PUNCT
ejpam-7184	208	16	y	y	NOUN
ejpam-7184	208	17	)	)	PUNCT
ejpam-7184	208	18	)	)	PUNCT
ejpam-7184	208	19	gy	gy	INTJ
ejpam-7184	208	20	(	(	PUNCT
ejpam-7184	208	21	y	y	NOUN
ejpam-7184	208	22	)	)	PUNCT
ejpam-7184	208	23	×	×	NOUN
ejpam-7184	208	24	∫	∫	NOUN
ejpam-7184	208	25	1	1	NUM
ejpam-7184	208	26	0	0	NUM
ejpam-7184	208	27	[	[	PUNCT
ejpam-7184	208	28	(	(	PUNCT
ejpam-7184	208	29	λ+	λ+	PUNCT
ejpam-7184	208	30	α)e(−λ+1)t	α)e(−λ+1)t	PROPN
ejpam-7184	208	31	−	−	PROPN
ejpam-7184	208	32	λe−λt	λe−λt	NOUN
ejpam-7184	208	33	]	]	X
ejpam-7184	208	34	(	(	PUNCT
ejpam-7184	208	35	1−	1−	NUM
ejpam-7184	208	36	e−t)α−1tn−1dt	e−t)α−1tn−1dt	NOUN
ejpam-7184	208	37	.	.	PUNCT
ejpam-7184	209	1	=	=	PRON
ejpam-7184	209	2	gy	gy	INTJ
ejpam-7184	209	3	(	(	PUNCT
ejpam-7184	209	4	y	y	NOUN
ejpam-7184	209	5	)	)	PUNCT
ejpam-7184	209	6	+	+	CCONJ
ejpam-7184	209	7	δ	δ	PROPN
ejpam-7184	209	8	(	(	PUNCT
ejpam-7184	209	9	n−	n−	NOUN
ejpam-7184	209	10	1	1	NUM
ejpam-7184	209	11	)	)	PUNCT
ejpam-7184	209	12	!	!	PUNCT
ejpam-7184	210	1	ḡy	ḡy	PROPN
ejpam-7184	210	2	(	(	PUNCT
ejpam-7184	210	3	y	y	NOUN
ejpam-7184	210	4	)	)	PUNCT
ejpam-7184	210	5	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	210	6	y	y	PROPN
ejpam-7184	210	7	(	(	PUNCT
ejpam-7184	210	8	y	y	PROPN
ejpam-7184	210	9	)	)	PUNCT
ejpam-7184	210	10	(	(	PUNCT
ejpam-7184	210	11	λ−	λ−	PROPN
ejpam-7184	210	12	(	(	PUNCT
ejpam-7184	210	13	α+	α+	X
ejpam-7184	210	14	λ)gy	λ)gy	PROPN
ejpam-7184	210	15	(	(	PUNCT
ejpam-7184	210	16	y	y	NOUN
ejpam-7184	210	17	)	)	PUNCT
ejpam-7184	210	18	)	)	PUNCT
ejpam-7184	210	19	gy	gy	INTJ
ejpam-7184	210	20	(	(	PUNCT
ejpam-7184	210	21	y	y	NOUN
ejpam-7184	210	22	)	)	PUNCT
ejpam-7184	210	23	×	×	NOUN
ejpam-7184	210	24	α−1∑	α−1∑	NUM
ejpam-7184	210	25	ϵ=0	ϵ=0	PUNCT
ejpam-7184	210	26	(	(	PUNCT
ejpam-7184	210	27	α−	α−	ADP
ejpam-7184	210	28	1	1	NUM
ejpam-7184	210	29	ϵ	ϵ	NOUN
ejpam-7184	210	30	)	)	PUNCT
ejpam-7184	210	31	(	(	PUNCT
ejpam-7184	210	32	−1)ϵ	−1)ϵ	NOUN
ejpam-7184	210	33	∫	∫	PROPN
ejpam-7184	210	34	1	1	NUM
ejpam-7184	210	35	0	0	NUM
ejpam-7184	210	36	[	[	PUNCT
ejpam-7184	210	37	(	(	PUNCT
ejpam-7184	210	38	λ+	λ+	PUNCT
ejpam-7184	210	39	α)e(−(λ+ϵ)+1)t	α)e(−(λ+ϵ)+1)t	ADJ
ejpam-7184	210	40	−	−	PROPN
ejpam-7184	211	1	λe−(λ+ϵ)t	λe−(λ+ϵ)t	X
ejpam-7184	211	2	]	]	PUNCT
ejpam-7184	211	3	tn−1dt	tn−1dt	NOUN
ejpam-7184	211	4	.	.	PUNCT
ejpam-7184	212	1	which	which	PRON
ejpam-7184	212	2	proves	prove	VERB
ejpam-7184	212	3	the	the	DET
ejpam-7184	212	4	theorem	theorem	ADJ
ejpam-7184	212	5	.	.	PROPN
ejpam-7184	212	6	corollary	corollary	ADJ
ejpam-7184	212	7	2.1.2	2.1.2	PROPN
ejpam-7184	212	8	.	.	PUNCT
ejpam-7184	213	1	according	accord	VERB
ejpam-7184	213	2	to	to	ADP
ejpam-7184	213	3	theorem	theorem	NOUN
ejpam-7184	213	4	(	(	PUNCT
ejpam-7184	213	5	2.1.1	2.1.1	NUM
ejpam-7184	213	6	)	)	PUNCT
ejpam-7184	213	7	,	,	PUNCT
ejpam-7184	213	8	the	the	DET
ejpam-7184	213	9	concomitant	concomitant	ADJ
ejpam-7184	213	10	extropy	extropy	NOUN
ejpam-7184	213	11	of	of	ADP
ejpam-7184	213	12	yl(n	yl(n	NOUN
ejpam-7184	213	13	)	)	PUNCT
ejpam-7184	213	14	is	be	AUX
ejpam-7184	213	15	given	give	VERB
ejpam-7184	213	16	by	by	ADP
ejpam-7184	213	17	ε(yl(n	ε(yl(n	NOUN
ejpam-7184	213	18	)	)	PUNCT
ejpam-7184	213	19	)	)	PUNCT
ejpam-7184	214	1	=	=	SYM
ejpam-7184	214	2	ε(y	ε(y	PROPN
ejpam-7184	214	3	)	)	PUNCT
ejpam-7184	214	4	−	−	PROPN
ejpam-7184	214	5	δµ∗	δµ∗	VERB
ejpam-7184	214	6	l(n)e((1−	l(n)e((1−	ADP
ejpam-7184	214	7	u)α−1uλ−1(λ−	u)α−1uλ−1(λ−	NUM
ejpam-7184	214	8	(	(	PUNCT
ejpam-7184	214	9	α+	α+	X
ejpam-7184	214	10	λ)u)g(g−1	λ)u)g(g−1	PROPN
ejpam-7184	214	11	y	y	PROPN
ejpam-7184	214	12	(	(	PUNCT
ejpam-7184	214	13	u	u	NOUN
ejpam-7184	214	14	)	)	PUNCT
ejpam-7184	214	15	)	)	PUNCT
ejpam-7184	214	16	)	)	PUNCT
ejpam-7184	215	1	−	−	NOUN
ejpam-7184	215	2	1	1	NUM
ejpam-7184	215	3	2	2	NUM
ejpam-7184	215	4	(	(	PUNCT
ejpam-7184	215	5	δµ∗	δµ∗	NOUN
ejpam-7184	215	6	l(n	l(n	PROPN
ejpam-7184	215	7	)	)	PUNCT
ejpam-7184	215	8	)	)	PUNCT
ejpam-7184	216	1	2e((1−	2e((1−	NUM
ejpam-7184	216	2	u)2(α−1)u2(λ−1)(λ−	u)2(α−1)u2(λ−1)(λ−	SYM
ejpam-7184	216	3	(	(	PUNCT
ejpam-7184	216	4	α+	α+	X
ejpam-7184	216	5	λ)u)2g(g−1	λ)u)2g(g−1	NUM
ejpam-7184	216	6	y	y	PROPN
ejpam-7184	216	7	(	(	PUNCT
ejpam-7184	216	8	u	u	NOUN
ejpam-7184	216	9	)	)	PUNCT
ejpam-7184	216	10	)	)	PUNCT
ejpam-7184	216	11	)	)	PUNCT
ejpam-7184	216	12	.	.	PUNCT
ejpam-7184	217	1	(	(	PUNCT
ejpam-7184	217	2	2.10	2.10	NUM
ejpam-7184	217	3	)	)	PUNCT
ejpam-7184	217	4	now	now	ADV
ejpam-7184	217	5	,	,	PUNCT
ejpam-7184	217	6	we	we	PRON
ejpam-7184	217	7	will	will	AUX
ejpam-7184	217	8	give	give	VERB
ejpam-7184	217	9	an	an	DET
ejpam-7184	217	10	application	application	NOUN
ejpam-7184	217	11	of	of	ADP
ejpam-7184	217	12	theorem	theorem	NOUN
ejpam-7184	217	13	(	(	PUNCT
ejpam-7184	217	14	2.1.1	2.1.1	NUM
ejpam-7184	217	15	)	)	PUNCT
ejpam-7184	217	16	by	by	ADP
ejpam-7184	217	17	the	the	DET
ejpam-7184	217	18	following	follow	VERB
ejpam-7184	217	19	examples	example	NOUN
ejpam-7184	217	20	.	.	PUNCT
ejpam-7184	218	1	example	example	NOUN
ejpam-7184	219	1	2.1.1	2.1.1	NUM
ejpam-7184	219	2	.	.	PUNCT
ejpam-7184	219	3	assume	assume	VERB
ejpam-7184	219	4	that	that	SCONJ
ejpam-7184	219	5	the	the	DET
ejpam-7184	219	6	exponential	exponential	ADJ
ejpam-7184	219	7	distribution	distribution	NOUN
ejpam-7184	219	8	(	(	PUNCT
ejpam-7184	219	9	exp(θ	exp(θ	NOUN
ejpam-7184	219	10	)	)	PUNCT
ejpam-7184	219	11	)	)	PUNCT
ejpam-7184	219	12	with	with	ADP
ejpam-7184	219	13	cdf	cdf	PROPN
ejpam-7184	219	14	produces	produce	VERB
ejpam-7184	219	15	the	the	DET
ejpam-7184	219	16	non	non	ADJ
ejpam-7184	219	17	-	-	ADJ
ejpam-7184	219	18	negative	negative	ADJ
ejpam-7184	219	19	continuous	continuous	ADJ
ejpam-7184	219	20	r.v	r.v	PROPN
ejpam-7184	219	21	.	.	PUNCT
ejpam-7184	219	22	y	y	PROPN
ejpam-7184	219	23	as	as	SCONJ
ejpam-7184	219	24	follows	follow	VERB
ejpam-7184	219	25	g(y	g(y	NOUN
ejpam-7184	219	26	)	)	PUNCT
ejpam-7184	219	27	=	=	SYM
ejpam-7184	219	28	1−	1−	NUM
ejpam-7184	219	29	e−θy	e−θy	NOUN
ejpam-7184	219	30	,	,	PUNCT
ejpam-7184	219	31	θ	θ	PROPN
ejpam-7184	219	32	>	>	X
ejpam-7184	219	33	0	0	PROPN
ejpam-7184	219	34	,	,	PUNCT
ejpam-7184	219	35	y	y	PROPN
ejpam-7184	219	36	>	>	X
ejpam-7184	219	37	0	0	PROPN
ejpam-7184	219	38	.	.	PUNCT
ejpam-7184	220	1	(	(	PUNCT
ejpam-7184	220	2	2.11	2.11	NUM
ejpam-7184	220	3	)	)	PUNCT
ejpam-7184	220	4	according	accord	VERB
ejpam-7184	220	5	to	to	ADP
ejpam-7184	220	6	theorem	theorem	NOUN
ejpam-7184	220	7	(	(	PUNCT
ejpam-7184	220	8	2.1.1	2.1.1	NUM
ejpam-7184	220	9	)	)	PUNCT
ejpam-7184	220	10	,	,	PUNCT
ejpam-7184	220	11	the	the	DET
ejpam-7184	220	12	concomitant	concomitant	ADJ
ejpam-7184	220	13	extropy	extropy	NOUN
ejpam-7184	220	14	ε(y[r	ε(y[r	PROPN
ejpam-7184	220	15	,	,	PUNCT
ejpam-7184	220	16	n	n	CCONJ
ejpam-7184	220	17	,	,	PUNCT
ejpam-7184	220	18	w	w	NOUN
ejpam-7184	220	19	,	,	PUNCT
ejpam-7184	220	20	l	l	NOUN
ejpam-7184	220	21	]	]	PUNCT
ejpam-7184	220	22	)	)	PUNCT
ejpam-7184	220	23	is	be	AUX
ejpam-7184	220	24	given	give	VERB
ejpam-7184	220	25	by	by	ADP
ejpam-7184	220	26	ε(y[r	ε(y[r	PROPN
ejpam-7184	220	27	,	,	PUNCT
ejpam-7184	220	28	n	n	CCONJ
ejpam-7184	220	29	,	,	PUNCT
ejpam-7184	220	30	w	w	NOUN
ejpam-7184	220	31	,	,	PUNCT
ejpam-7184	220	32	l	l	NOUN
ejpam-7184	220	33	]	]	X
ejpam-7184	220	34	)	)	PUNCT
ejpam-7184	220	35	=	=	SYM
ejpam-7184	221	1	−0.25θ	−0.25θ	NOUN
ejpam-7184	221	2	−	−	PROPN
ejpam-7184	221	3	3δr∗	3δr∗	NUM
ejpam-7184	222	1	[	[	X
ejpam-7184	222	2	r	r	X
ejpam-7184	222	3	,	,	PUNCT
ejpam-7184	222	4	n	n	CCONJ
ejpam-7184	222	5	,	,	PUNCT
ejpam-7184	222	6	w	w	PROPN
ejpam-7184	222	7	,	,	PUNCT
ejpam-7184	222	8	l]θγ(3	l]θγ(3	PROPN
ejpam-7184	223	1	+	+	CCONJ
ejpam-7184	223	2	α)γ(1	α)γ(1	PROPN
ejpam-7184	223	3	+	+	CCONJ
ejpam-7184	223	4	λ	λ	X
ejpam-7184	223	5	)	)	PUNCT
ejpam-7184	223	6	γ(4	γ(4	VERB
ejpam-7184	224	1	+	+	CCONJ
ejpam-7184	224	2	α+	α+	X
ejpam-7184	224	3	λ	λ	NOUN
ejpam-7184	224	4	)	)	PUNCT
ejpam-7184	224	5	−	−	PROPN
ejpam-7184	224	6	(	(	PUNCT
ejpam-7184	224	7	δr∗	δr∗	CCONJ
ejpam-7184	224	8	[	[	X
ejpam-7184	224	9	r	r	X
ejpam-7184	224	10	,	,	PUNCT
ejpam-7184	224	11	n	n	CCONJ
ejpam-7184	224	12	,	,	PUNCT
ejpam-7184	224	13	w	w	NOUN
ejpam-7184	224	14	,	,	PUNCT
ejpam-7184	224	15	l	l	NOUN
ejpam-7184	224	16	]	]	X
ejpam-7184	224	17	)	)	PUNCT
ejpam-7184	224	18	2θ	2θ	NUM
ejpam-7184	224	19	×	×	NOUN
ejpam-7184	224	20	λ(10λ+	λ(10λ+	PUNCT
ejpam-7184	224	21	α(4	α(4	NOUN
ejpam-7184	224	22	+	+	CCONJ
ejpam-7184	224	23	α+	α+	PUNCT
ejpam-7184	224	24	λ))γ(4	λ))γ(4	X
ejpam-7184	224	25	+	+	CCONJ
ejpam-7184	224	26	2α)γ(−1	2α)γ(−1	NUM
ejpam-7184	224	27	+	+	CCONJ
ejpam-7184	224	28	2λ	2λ	NUM
ejpam-7184	224	29	)	)	PUNCT
ejpam-7184	224	30	γ(5	γ(5	NOUN
ejpam-7184	224	31	+	+	CCONJ
ejpam-7184	224	32	2α+	2α+	NUM
ejpam-7184	224	33	2λ	2λ	NOUN
ejpam-7184	224	34	)	)	PUNCT
ejpam-7184	224	35	.	.	PUNCT
ejpam-7184	225	1	(	(	PUNCT
ejpam-7184	225	2	2.12	2.12	NUM
ejpam-7184	225	3	)	)	PUNCT
ejpam-7184	225	4	based	base	VERB
ejpam-7184	225	5	on	on	ADP
ejpam-7184	225	6	os	os	NOUN
ejpam-7184	225	7	,	,	PUNCT
ejpam-7184	225	8	figure	figure	NOUN
ejpam-7184	225	9	1	1	NUM
ejpam-7184	225	10	shows	show	VERB
ejpam-7184	225	11	some	some	DET
ejpam-7184	225	12	plots	plot	NOUN
ejpam-7184	225	13	of	of	ADP
ejpam-7184	225	14	ε(y[r	ε(y[r	NOUN
ejpam-7184	225	15	,	,	PUNCT
ejpam-7184	225	16	n,0,1	n,0,1	NOUN
ejpam-7184	225	17	]	]	PUNCT
ejpam-7184	225	18	)	)	PUNCT
ejpam-7184	225	19	for	for	ADP
ejpam-7184	225	20	exp(θ	exp(θ	PROPN
ejpam-7184	225	21	)	)	PUNCT
ejpam-7184	225	22	.	.	PUNCT
ejpam-7184	226	1	example	example	NOUN
ejpam-7184	227	1	2.1.2	2.1.2	NUM
ejpam-7184	227	2	.	.	PUNCT
ejpam-7184	227	3	assume	assume	VERB
ejpam-7184	227	4	that	that	SCONJ
ejpam-7184	227	5	the	the	DET
ejpam-7184	227	6	uniform	uniform	ADJ
ejpam-7184	227	7	distribution	distribution	NOUN
ejpam-7184	227	8	with	with	ADP
ejpam-7184	227	9	cdf	cdf	PROPN
ejpam-7184	227	10	produces	produce	VERB
ejpam-7184	227	11	the	the	DET
ejpam-7184	227	12	non	non	ADJ
ejpam-7184	227	13	-	-	ADJ
ejpam-7184	227	14	negative	negative	ADJ
ejpam-7184	227	15	continuous	continuous	ADJ
ejpam-7184	227	16	r.v	r.v	PROPN
ejpam-7184	227	17	.	.	PUNCT
ejpam-7184	227	18	y	y	PROPN
ejpam-7184	227	19	as	as	SCONJ
ejpam-7184	227	20	follows	follow	VERB
ejpam-7184	227	21	g(y	g(y	NOUN
ejpam-7184	227	22	)	)	PUNCT
ejpam-7184	227	23	=	=	PUNCT
ejpam-7184	227	24	(	(	PUNCT
ejpam-7184	227	25	y	y	PROPN
ejpam-7184	227	26	σ	σ	PROPN
ejpam-7184	227	27	)	)	PUNCT
ejpam-7184	227	28	,	,	PUNCT
ejpam-7184	228	1	0	0	PUNCT
ejpam-7184	228	2	<	<	X
ejpam-7184	228	3	y	y	X
ejpam-7184	228	4	<	<	X
ejpam-7184	228	5	σ	σ	PROPN
ejpam-7184	228	6	.	.	PUNCT
ejpam-7184	229	1	(	(	PUNCT
ejpam-7184	229	2	2.13	2.13	NUM
ejpam-7184	229	3	)	)	PUNCT
ejpam-7184	229	4	m.	m.	NOUN
ejpam-7184	229	5	s.	s.	PROPN
ejpam-7184	229	6	mohamed	mohamed	PROPN
ejpam-7184	229	7	et	et	PROPN
ejpam-7184	229	8	al	al	PROPN
ejpam-7184	229	9	.	.	PUNCT
ejpam-7184	229	10	/	/	SYM
ejpam-7184	229	11	eur	eur	PROPN
ejpam-7184	229	12	.	.	PUNCT
ejpam-7184	230	1	j.	j.	PROPN
ejpam-7184	230	2	pure	pure	PROPN
ejpam-7184	230	3	appl	appl	PROPN
ejpam-7184	230	4	.	.	PROPN
ejpam-7184	230	5	math	math	PROPN
ejpam-7184	230	6	,	,	PUNCT
ejpam-7184	230	7	18	18	NUM
ejpam-7184	230	8	(	(	PUNCT
ejpam-7184	230	9	4	4	NUM
ejpam-7184	230	10	)	)	PUNCT
ejpam-7184	230	11	(	(	PUNCT
ejpam-7184	230	12	2025	2025	NUM
ejpam-7184	230	13	)	)	PUNCT
ejpam-7184	230	14	,	,	PUNCT
ejpam-7184	230	15	7184	7184	NUM
ejpam-7184	230	16	10	10	NUM
ejpam-7184	230	17	of	of	ADP
ejpam-7184	230	18	21	21	NUM
ejpam-7184	230	19	figure	figure	NOUN
ejpam-7184	230	20	1	1	NUM
ejpam-7184	230	21	:	:	PUNCT
ejpam-7184	230	22	plots	plot	NOUN
ejpam-7184	230	23	of	of	ADP
ejpam-7184	230	24	ε(y[r	ε(y[r	NOUN
ejpam-7184	230	25	,	,	PUNCT
ejpam-7184	230	26	n,0,1	n,0,1	NOUN
ejpam-7184	230	27	]	]	PUNCT
ejpam-7184	230	28	)	)	PUNCT
ejpam-7184	230	29	form	form	NOUN
ejpam-7184	230	30	exp(θ	exp(θ	PROPN
ejpam-7184	230	31	)	)	PUNCT
ejpam-7184	230	32	for	for	ADP
ejpam-7184	230	33	a	a	DET
ejpam-7184	230	34	sample	sample	NOUN
ejpam-7184	230	35	of	of	ADP
ejpam-7184	230	36	size	size	NOUN
ejpam-7184	230	37	n	n	NOUN
ejpam-7184	230	38	=	=	NUM
ejpam-7184	230	39	200	200	NUM
ejpam-7184	230	40	,	,	PUNCT
ejpam-7184	230	41	a	a	DET
ejpam-7184	230	42	=	=	SYM
ejpam-7184	230	43	1	1	NUM
ejpam-7184	230	44	,	,	PUNCT
ejpam-7184	230	45	b	b	NOUN
ejpam-7184	230	46	=	=	SYM
ejpam-7184	230	47	2	2	NUM
ejpam-7184	230	48	with	with	ADP
ejpam-7184	230	49	various	various	ADJ
ejpam-7184	230	50	selections	selection	NOUN
ejpam-7184	230	51	:	:	PUNCT
ejpam-7184	230	52	(	(	PUNCT
ejpam-7184	230	53	a	a	X
ejpam-7184	230	54	)	)	PUNCT
ejpam-7184	230	55	r	r	NOUN
ejpam-7184	230	56	=	=	SYM
ejpam-7184	230	57	30	30	NUM
ejpam-7184	230	58	,	,	PUNCT
ejpam-7184	230	59	θ1	θ1	NOUN
ejpam-7184	230	60	=	=	SYM
ejpam-7184	230	61	1	1	NUM
ejpam-7184	230	62	,	,	PUNCT
ejpam-7184	230	63	θ2	θ2	ADV
ejpam-7184	230	64	=	=	SYM
ejpam-7184	230	65	2	2	NUM
ejpam-7184	230	66	,	,	PUNCT
ejpam-7184	230	67	θ3	θ3	NOUN
ejpam-7184	230	68	=	=	SYM
ejpam-7184	230	69	3	3	NUM
ejpam-7184	230	70	,	,	PUNCT
ejpam-7184	230	71	(	(	PUNCT
ejpam-7184	230	72	b	b	X
ejpam-7184	230	73	)	)	PUNCT
ejpam-7184	230	74	θ	θ	NOUN
ejpam-7184	230	75	=	=	SYM
ejpam-7184	230	76	2	2	NUM
ejpam-7184	230	77	,	,	PUNCT
ejpam-7184	230	78	r1	r1	NOUN
ejpam-7184	230	79	=	=	SYM
ejpam-7184	230	80	30	30	NUM
ejpam-7184	230	81	,	,	PUNCT
ejpam-7184	230	82	r2	r2	PROPN
ejpam-7184	230	83	=	=	SYM
ejpam-7184	230	84	150	150	NUM
ejpam-7184	230	85	,	,	PUNCT
ejpam-7184	230	86	r3	r3	PROPN
ejpam-7184	230	87	=	=	SYM
ejpam-7184	230	88	170	170	NUM
ejpam-7184	230	89	.	.	PUNCT
ejpam-7184	231	1	according	accord	VERB
ejpam-7184	231	2	to	to	ADP
ejpam-7184	231	3	theorem	theorem	NOUN
ejpam-7184	231	4	(	(	PUNCT
ejpam-7184	231	5	2.1.1	2.1.1	NUM
ejpam-7184	231	6	)	)	PUNCT
ejpam-7184	231	7	,	,	PUNCT
ejpam-7184	231	8	the	the	DET
ejpam-7184	231	9	concomitant	concomitant	ADJ
ejpam-7184	231	10	extropy	extropy	NOUN
ejpam-7184	231	11	ε(y[r	ε(y[r	PROPN
ejpam-7184	231	12	,	,	PUNCT
ejpam-7184	231	13	n	n	CCONJ
ejpam-7184	231	14	,	,	PUNCT
ejpam-7184	231	15	w	w	NOUN
ejpam-7184	231	16	,	,	PUNCT
ejpam-7184	231	17	l	l	NOUN
ejpam-7184	231	18	]	]	PUNCT
ejpam-7184	231	19	)	)	PUNCT
ejpam-7184	231	20	is	be	AUX
ejpam-7184	231	21	given	give	VERB
ejpam-7184	231	22	by	by	ADP
ejpam-7184	231	23	ε(y[r	ε(y[r	PROPN
ejpam-7184	231	24	,	,	PUNCT
ejpam-7184	231	25	n	n	CCONJ
ejpam-7184	231	26	,	,	PUNCT
ejpam-7184	231	27	w	w	NOUN
ejpam-7184	231	28	,	,	PUNCT
ejpam-7184	231	29	l	l	NOUN
ejpam-7184	231	30	]	]	X
ejpam-7184	231	31	)	)	PUNCT
ejpam-7184	231	32	=	=	PUNCT
ejpam-7184	232	1	−0.5	−0.5	PROPN
ejpam-7184	232	2	σ	σ	NUM
ejpam-7184	233	1	−	−	NOUN
ejpam-7184	233	2	2δr∗	2δr∗	NUM
ejpam-7184	234	1	[	[	X
ejpam-7184	234	2	r	r	X
ejpam-7184	234	3	,	,	PUNCT
ejpam-7184	234	4	n	n	CCONJ
ejpam-7184	234	5	,	,	PUNCT
ejpam-7184	234	6	w	w	PROPN
ejpam-7184	234	7	,	,	PUNCT
ejpam-7184	234	8	l]γ(2	l]γ(2	NOUN
ejpam-7184	234	9	+	+	CCONJ
ejpam-7184	234	10	α)γ(1	α)γ(1	PROPN
ejpam-7184	234	11	+	+	CCONJ
ejpam-7184	234	12	λ	λ	X
ejpam-7184	234	13	)	)	PUNCT
ejpam-7184	234	14	σγ(3	σγ(3	PROPN
ejpam-7184	235	1	+	+	CCONJ
ejpam-7184	235	2	α+	α+	PUNCT
ejpam-7184	235	3	λ	λ	NOUN
ejpam-7184	235	4	)	)	PUNCT
ejpam-7184	235	5	−	−	PROPN
ejpam-7184	235	6	(	(	PUNCT
ejpam-7184	235	7	δr∗	δr∗	CCONJ
ejpam-7184	235	8	[	[	X
ejpam-7184	235	9	r	r	X
ejpam-7184	235	10	,	,	PUNCT
ejpam-7184	235	11	n	n	CCONJ
ejpam-7184	235	12	,	,	PUNCT
ejpam-7184	235	13	w	w	NOUN
ejpam-7184	235	14	,	,	PUNCT
ejpam-7184	235	15	l	l	NOUN
ejpam-7184	235	16	]	]	X
ejpam-7184	235	17	)	)	PUNCT
ejpam-7184	235	18	2	2	NUM
ejpam-7184	235	19	σ	σ	NUM
ejpam-7184	235	20	×	×	NOUN
ejpam-7184	235	21	λ(6λ+	λ(6λ+	NOUN
ejpam-7184	235	22	α(3	α(3	PROPN
ejpam-7184	235	23	+	+	PUNCT
ejpam-7184	235	24	α+	α+	PUNCT
ejpam-7184	235	25	λ))γ(3	λ))γ(3	X
ejpam-7184	236	1	+	+	CCONJ
ejpam-7184	236	2	2α)γ(−1	2α)γ(−1	NUM
ejpam-7184	236	3	+	+	CCONJ
ejpam-7184	236	4	2λ	2λ	NOUN
ejpam-7184	236	5	)	)	PUNCT
ejpam-7184	236	6	γ(2(2	γ(2(2	PROPN
ejpam-7184	236	7	+	+	CCONJ
ejpam-7184	236	8	α+	α+	PUNCT
ejpam-7184	236	9	λ	λ	NOUN
ejpam-7184	236	10	)	)	PUNCT
ejpam-7184	236	11	)	)	PUNCT
ejpam-7184	236	12	.	.	PUNCT
ejpam-7184	237	1	(	(	PUNCT
ejpam-7184	237	2	2.14	2.14	NUM
ejpam-7184	237	3	)	)	PUNCT
ejpam-7184	237	4	based	base	VERB
ejpam-7184	237	5	on	on	ADP
ejpam-7184	237	6	os	os	NOUN
ejpam-7184	237	7	,	,	PUNCT
ejpam-7184	237	8	figure	figure	NOUN
ejpam-7184	237	9	2	2	NUM
ejpam-7184	237	10	shows	show	VERB
ejpam-7184	237	11	some	some	DET
ejpam-7184	237	12	plots	plot	NOUN
ejpam-7184	237	13	of	of	ADP
ejpam-7184	237	14	ε(y[r	ε(y[r	NOUN
ejpam-7184	237	15	,	,	PUNCT
ejpam-7184	237	16	n,0,1	n,0,1	NOUN
ejpam-7184	237	17	]	]	PUNCT
ejpam-7184	237	18	)	)	PUNCT
ejpam-7184	237	19	for	for	ADP
ejpam-7184	237	20	a	a	DET
ejpam-7184	237	21	uniform	uniform	ADJ
ejpam-7184	237	22	distribution	distribution	NOUN
ejpam-7184	237	23	figure	figure	NOUN
ejpam-7184	237	24	2	2	NUM
ejpam-7184	237	25	:	:	PUNCT
ejpam-7184	237	26	plots	plot	NOUN
ejpam-7184	237	27	of	of	ADP
ejpam-7184	237	28	ε(y[r	ε(y[r	NOUN
ejpam-7184	237	29	,	,	PUNCT
ejpam-7184	237	30	n,0,1	n,0,1	NOUN
ejpam-7184	237	31	]	]	PUNCT
ejpam-7184	237	32	)	)	PUNCT
ejpam-7184	237	33	form	form	VERB
ejpam-7184	237	34	a	a	DET
ejpam-7184	237	35	uniform	uniform	ADJ
ejpam-7184	237	36	distribution	distribution	NOUN
ejpam-7184	237	37	for	for	ADP
ejpam-7184	237	38	a	a	DET
ejpam-7184	237	39	sample	sample	NOUN
ejpam-7184	237	40	of	of	ADP
ejpam-7184	237	41	size	size	NOUN
ejpam-7184	237	42	n	n	NOUN
ejpam-7184	237	43	=	=	NUM
ejpam-7184	237	44	200	200	NUM
ejpam-7184	237	45	,	,	PUNCT
ejpam-7184	237	46	α	α	NOUN
ejpam-7184	237	47	=	=	SYM
ejpam-7184	237	48	1	1	NUM
ejpam-7184	237	49	,	,	PUNCT
ejpam-7184	237	50	λ	λ	X
ejpam-7184	237	51	=	=	NOUN
ejpam-7184	237	52	2	2	NUM
ejpam-7184	237	53	with	with	ADP
ejpam-7184	237	54	various	various	ADJ
ejpam-7184	237	55	selections	selection	NOUN
ejpam-7184	237	56	:	:	PUNCT
ejpam-7184	237	57	(	(	PUNCT
ejpam-7184	237	58	c	c	X
ejpam-7184	237	59	)	)	PUNCT
ejpam-7184	237	60	r	r	NOUN
ejpam-7184	237	61	=	=	SYM
ejpam-7184	237	62	30	30	NUM
ejpam-7184	237	63	,	,	PUNCT
ejpam-7184	237	64	σ1	σ1	NOUN
ejpam-7184	237	65	=	=	SYM
ejpam-7184	237	66	0.5	0.5	NUM
ejpam-7184	237	67	,	,	PUNCT
ejpam-7184	237	68	σ2	σ2	NOUN
ejpam-7184	237	69	=	=	SYM
ejpam-7184	237	70	1	1	NUM
ejpam-7184	237	71	,	,	PUNCT
ejpam-7184	237	72	σ3	σ3	NOUN
ejpam-7184	237	73	=	=	SYM
ejpam-7184	237	74	2	2	NUM
ejpam-7184	237	75	,	,	PUNCT
ejpam-7184	237	76	σ4	σ4	NOUN
ejpam-7184	237	77	=	=	SYM
ejpam-7184	237	78	3	3	NUM
ejpam-7184	237	79	,	,	PUNCT
ejpam-7184	237	80	(	(	PUNCT
ejpam-7184	237	81	d	d	X
ejpam-7184	237	82	)	)	PUNCT
ejpam-7184	237	83	σ	σ	NOUN
ejpam-7184	237	84	=	=	SYM
ejpam-7184	237	85	2	2	NUM
ejpam-7184	237	86	,	,	PUNCT
ejpam-7184	237	87	r1	r1	NOUN
ejpam-7184	237	88	=	=	SYM
ejpam-7184	237	89	30	30	NUM
ejpam-7184	237	90	,	,	PUNCT
ejpam-7184	237	91	r2	r2	PROPN
ejpam-7184	237	92	=	=	SYM
ejpam-7184	237	93	80	80	NUM
ejpam-7184	237	94	,	,	PUNCT
ejpam-7184	237	95	r3	r3	PROPN
ejpam-7184	237	96	=	=	SYM
ejpam-7184	237	97	100	100	NUM
ejpam-7184	237	98	,	,	PUNCT
ejpam-7184	237	99	r4	r4	NOUN
ejpam-7184	237	100	=	=	SYM
ejpam-7184	237	101	110	110	NUM
ejpam-7184	237	102	.	.	PUNCT
ejpam-7184	237	103	m.	m.	PROPN
ejpam-7184	237	104	s.	s.	PROPN
ejpam-7184	237	105	mohamed	mohamed	PROPN
ejpam-7184	237	106	et	et	PROPN
ejpam-7184	237	107	al	al	PROPN
ejpam-7184	237	108	.	.	PUNCT
ejpam-7184	237	109	/	/	SYM
ejpam-7184	237	110	eur	eur	PROPN
ejpam-7184	237	111	.	.	PUNCT
ejpam-7184	238	1	j.	j.	PROPN
ejpam-7184	238	2	pure	pure	PROPN
ejpam-7184	238	3	appl	appl	PROPN
ejpam-7184	238	4	.	.	PROPN
ejpam-7184	238	5	math	math	PROPN
ejpam-7184	238	6	,	,	PUNCT
ejpam-7184	238	7	18	18	NUM
ejpam-7184	238	8	(	(	PUNCT
ejpam-7184	238	9	4	4	NUM
ejpam-7184	238	10	)	)	PUNCT
ejpam-7184	238	11	(	(	PUNCT
ejpam-7184	238	12	2025	2025	NUM
ejpam-7184	238	13	)	)	PUNCT
ejpam-7184	238	14	,	,	PUNCT
ejpam-7184	238	15	7184	7184	NUM
ejpam-7184	238	16	11	11	NUM
ejpam-7184	238	17	of	of	ADP
ejpam-7184	238	18	21	21	NUM
ejpam-7184	238	19	2.2	2.2	NUM
ejpam-7184	238	20	.	.	PUNCT
ejpam-7184	239	1	residual	residual	ADJ
ejpam-7184	239	2	and	and	CCONJ
ejpam-7184	239	3	past	past	ADJ
ejpam-7184	239	4	extropies	extropy	NOUN
ejpam-7184	239	5	of	of	ADP
ejpam-7184	239	6	concomitants	concomitant	NOUN
ejpam-7184	239	7	for	for	ADP
ejpam-7184	239	8	w	w	ADV
ejpam-7184	239	9	-	-	PUNCT
ejpam-7184	239	10	generalized	generalize	VERB
ejpam-7184	239	11	order	order	NOUN
ejpam-7184	239	12	statistics	statistic	NOUN
ejpam-7184	239	13	in	in	ADP
ejpam-7184	239	14	this	this	DET
ejpam-7184	239	15	subsection	subsection	NOUN
ejpam-7184	239	16	,	,	PUNCT
ejpam-7184	239	17	we	we	PRON
ejpam-7184	239	18	will	will	AUX
ejpam-7184	239	19	derive	derive	VERB
ejpam-7184	239	20	the	the	DET
ejpam-7184	239	21	measures	measure	NOUN
ejpam-7184	239	22	of	of	ADP
ejpam-7184	239	23	the	the	DET
ejpam-7184	239	24	residual	residual	ADJ
ejpam-7184	239	25	and	and	CCONJ
ejpam-7184	239	26	past	past	ADJ
ejpam-7184	239	27	extropies	extropy	NOUN
ejpam-7184	239	28	of	of	ADP
ejpam-7184	239	29	w	w	NOUN
ejpam-7184	239	30	-	-	PUNCT
ejpam-7184	239	31	gos	gos	NOUN
ejpam-7184	239	32	,	,	PUNCT
ejpam-7184	239	33	y[r	y[r	PROPN
ejpam-7184	239	34	,	,	PUNCT
ejpam-7184	239	35	n	n	CCONJ
ejpam-7184	239	36	,	,	PUNCT
ejpam-7184	239	37	w	w	NOUN
ejpam-7184	239	38	,	,	PUNCT
ejpam-7184	239	39	l	l	NOUN
ejpam-7184	239	40	]	]	X
ejpam-7184	239	41	,	,	PUNCT
ejpam-7184	239	42	from	from	ADP
ejpam-7184	239	43	lai	lai	PROPN
ejpam-7184	239	44	and	and	CCONJ
ejpam-7184	239	45	xie	xie	PROPN
ejpam-7184	239	46	extensions	extension	NOUN
ejpam-7184	239	47	by	by	ADP
ejpam-7184	239	48	following	follow	VERB
ejpam-7184	239	49	theorems	theorem	NOUN
ejpam-7184	239	50	.	.	PUNCT
ejpam-7184	240	1	theorem	theorem	NOUN
ejpam-7184	240	2	2.2.1	2.2.1	NUM
ejpam-7184	240	3	.	.	PUNCT
ejpam-7184	241	1	assume	assume	VERB
ejpam-7184	241	2	that	that	SCONJ
ejpam-7184	241	3	the	the	DET
ejpam-7184	241	4	r	r	NOUN
ejpam-7184	241	5	-	-	PUNCT
ejpam-7184	241	6	th	th	PRON
ejpam-7184	241	7	w	w	NOUN
ejpam-7184	241	8	-	-	PUNCT
ejpam-7184	241	9	gos	gos	NOUN
ejpam-7184	241	10	concomitant	concomitant	PROPN
ejpam-7184	241	11	y[r	y[r	PROPN
ejpam-7184	241	12	,	,	PUNCT
ejpam-7184	241	13	n	n	CCONJ
ejpam-7184	241	14	,	,	PUNCT
ejpam-7184	241	15	w	w	PROPN
ejpam-7184	241	16	,	,	PUNCT
ejpam-7184	241	17	l	l	NOUN
ejpam-7184	241	18	]	]	X
ejpam-7184	241	19	is	be	AUX
ejpam-7184	241	20	a	a	DET
ejpam-7184	241	21	continuous	continuous	ADJ
ejpam-7184	241	22	and	and	CCONJ
ejpam-7184	241	23	non	non	ADJ
ejpam-7184	241	24	-	-	ADJ
ejpam-7184	241	25	negative	negative	ADJ
ejpam-7184	241	26	r.v	r.v	PROPN
ejpam-7184	241	27	.	.	PROPN
ejpam-7184	241	28	from	from	ADP
ejpam-7184	241	29	the	the	DET
ejpam-7184	241	30	lai	lai	PROPN
ejpam-7184	241	31	and	and	CCONJ
ejpam-7184	241	32	xie	xie	PROPN
ejpam-7184	241	33	extensions	extension	NOUN
ejpam-7184	241	34	.	.	PUNCT
ejpam-7184	242	1	then	then	ADV
ejpam-7184	242	2	,	,	PUNCT
ejpam-7184	242	3	the	the	DET
ejpam-7184	242	4	residual	residual	ADJ
ejpam-7184	242	5	extropy	extropy	NOUN
ejpam-7184	242	6	of	of	ADP
ejpam-7184	242	7	the	the	DET
ejpam-7184	242	8	r	r	NOUN
ejpam-7184	242	9	-	-	PUNCT
ejpam-7184	242	10	th	th	PRON
ejpam-7184	242	11	w	w	NOUN
ejpam-7184	242	12	-	-	PUNCT
ejpam-7184	242	13	gos	gos	NOUN
ejpam-7184	242	14	,	,	PUNCT
ejpam-7184	242	15	based	base	VERB
ejpam-7184	242	16	on	on	ADP
ejpam-7184	242	17	the	the	DET
ejpam-7184	242	18	concomitant	concomitant	PROPN
ejpam-7184	242	19	y[r	y[r	PROPN
ejpam-7184	242	20	,	,	PUNCT
ejpam-7184	242	21	n	n	CCONJ
ejpam-7184	242	22	,	,	PUNCT
ejpam-7184	242	23	w	w	NOUN
ejpam-7184	242	24	,	,	PUNCT
ejpam-7184	242	25	l	l	NOUN
ejpam-7184	242	26	]	]	PUNCT
ejpam-7184	242	27	,	,	PUNCT
ejpam-7184	242	28	is	be	AUX
ejpam-7184	242	29	given	give	VERB
ejpam-7184	242	30	by	by	ADP
ejpam-7184	242	31	εt(y[r	εt(y[r	PROPN
ejpam-7184	242	32	,	,	PUNCT
ejpam-7184	242	33	n	n	CCONJ
ejpam-7184	242	34	,	,	PUNCT
ejpam-7184	242	35	w	w	NOUN
ejpam-7184	242	36	,	,	PUNCT
ejpam-7184	242	37	l	l	NOUN
ejpam-7184	242	38	]	]	X
ejpam-7184	242	39	)	)	PUNCT
ejpam-7184	243	1	=	=	SYM
ejpam-7184	243	2	εr(y[r	εr(y[r	PROPN
ejpam-7184	243	3	,	,	PUNCT
ejpam-7184	243	4	n	n	CCONJ
ejpam-7184	243	5	,	,	PUNCT
ejpam-7184	243	6	w	w	NOUN
ejpam-7184	243	7	,	,	PUNCT
ejpam-7184	243	8	l	l	NOUN
ejpam-7184	243	9	]	]	X
ejpam-7184	243	10	;	;	PUNCT
ejpam-7184	243	11	t	t	X
ejpam-7184	243	12	)	)	PUNCT
ejpam-7184	243	13	=	=	PUNCT
ejpam-7184	243	14	[	[	PUNCT
ejpam-7184	243	15	1	1	NUM
ejpam-7184	243	16	1	1	NUM
ejpam-7184	243	17	+	+	NUM
ejpam-7184	243	18	δη∗[r	δη∗[r	NOUN
ejpam-7184	243	19	,	,	PUNCT
ejpam-7184	243	20	n	n	CCONJ
ejpam-7184	243	21	,	,	PUNCT
ejpam-7184	243	22	w	w	PROPN
ejpam-7184	243	23	,	,	PUNCT
ejpam-7184	243	24	l]ḡy	l]ḡy	PROPN
ejpam-7184	243	25	(	(	PUNCT
ejpam-7184	243	26	t)α−1gλ	t)α−1gλ	PROPN
ejpam-7184	243	27	y	y	PROPN
ejpam-7184	243	28	(	(	PUNCT
ejpam-7184	243	29	t	t	PROPN
ejpam-7184	243	30	)	)	PUNCT
ejpam-7184	243	31	]	]	PUNCT
ejpam-7184	244	1	2[εr(y	2[εr(y	NUM
ejpam-7184	244	2	)	)	PUNCT
ejpam-7184	244	3	−	−	PROPN
ejpam-7184	245	1	δr∗	δr∗	NOUN
ejpam-7184	245	2	[	[	X
ejpam-7184	245	3	r	r	X
ejpam-7184	245	4	,	,	PUNCT
ejpam-7184	245	5	n	n	CCONJ
ejpam-7184	245	6	,	,	PUNCT
ejpam-7184	245	7	w	w	NOUN
ejpam-7184	245	8	,	,	PUNCT
ejpam-7184	245	9	l	l	NOUN
ejpam-7184	245	10	]	]	X
ejpam-7184	245	11	ḡ2	ḡ2	X
ejpam-7184	245	12	y	y	PROPN
ejpam-7184	245	13	(	(	PUNCT
ejpam-7184	245	14	t	t	PROPN
ejpam-7184	245	15	)	)	PUNCT
ejpam-7184	245	16	e((1−	e((1−	X
ejpam-7184	245	17	u)α−1	u)α−1	PROPN
ejpam-7184	245	18	uλ−1g(g−1	uλ−1g(g−1	PROPN
ejpam-7184	245	19	y	y	PROPN
ejpam-7184	245	20	(	(	PUNCT
ejpam-7184	245	21	u	u	NOUN
ejpam-7184	245	22	)	)	PUNCT
ejpam-7184	245	23	)	)	PUNCT
ejpam-7184	245	24	(	(	PUNCT
ejpam-7184	245	25	λ−	λ−	PROPN
ejpam-7184	245	26	(	(	PUNCT
ejpam-7184	245	27	α+	α+	X
ejpam-7184	245	28	λ)u	λ)u	NOUN
ejpam-7184	245	29	)	)	PUNCT
ejpam-7184	245	30	)	)	PUNCT
ejpam-7184	245	31	−	−	PROPN
ejpam-7184	246	1	(	(	PUNCT
ejpam-7184	246	2	δr∗	δr∗	CCONJ
ejpam-7184	246	3	[	[	X
ejpam-7184	246	4	r	r	X
ejpam-7184	246	5	,	,	PUNCT
ejpam-7184	246	6	n	n	CCONJ
ejpam-7184	246	7	,	,	PUNCT
ejpam-7184	246	8	w	w	NOUN
ejpam-7184	246	9	,	,	PUNCT
ejpam-7184	246	10	l	l	NOUN
ejpam-7184	246	11	]	]	X
ejpam-7184	246	12	)	)	PUNCT
ejpam-7184	246	13	2	2	NUM
ejpam-7184	246	14	2ḡ2	2ḡ2	NUM
ejpam-7184	246	15	y	y	PROPN
ejpam-7184	246	16	(	(	PUNCT
ejpam-7184	246	17	t	t	PROPN
ejpam-7184	246	18	)	)	PUNCT
ejpam-7184	246	19	e((1−	e((1−	NUM
ejpam-7184	246	20	u)2(α−1	u)2(α−1	PROPN
ejpam-7184	246	21	)	)	PUNCT
ejpam-7184	246	22	u2(λ−1	u2(λ−1	NOUN
ejpam-7184	246	23	)	)	PUNCT
ejpam-7184	246	24	(	(	PUNCT
ejpam-7184	246	25	λ−	λ−	PROPN
ejpam-7184	246	26	(	(	PUNCT
ejpam-7184	246	27	α+	α+	X
ejpam-7184	246	28	λ)u)2	λ)u)2	ADJ
ejpam-7184	246	29	g(g−1	g(g−1	ADJ
ejpam-7184	246	30	y	y	PROPN
ejpam-7184	246	31	(	(	PUNCT
ejpam-7184	246	32	u	u	NOUN
ejpam-7184	246	33	)	)	PUNCT
ejpam-7184	246	34	)	)	PUNCT
ejpam-7184	246	35	)	)	PUNCT
ejpam-7184	246	36	]	]	PUNCT
ejpam-7184	246	37	,	,	PUNCT
ejpam-7184	246	38	where	where	SCONJ
ejpam-7184	246	39	εr(y	εr(y	VERB
ejpam-7184	246	40	)	)	PUNCT
ejpam-7184	246	41	is	be	AUX
ejpam-7184	246	42	residual	residual	ADJ
ejpam-7184	246	43	extropy	extropy	NOUN
ejpam-7184	246	44	for	for	ADP
ejpam-7184	246	45	r.v	r.v	PROPN
ejpam-7184	246	46	.	.	PROPN
ejpam-7184	246	47	of	of	ADP
ejpam-7184	246	48	y	y	PROPN
ejpam-7184	246	49	and	and	CCONJ
ejpam-7184	246	50	ur	ur	PRON
ejpam-7184	246	51	is	be	AUX
ejpam-7184	246	52	r.v	r.v	PROPN
ejpam-7184	246	53	.	.	PROPN
ejpam-7184	246	54	from	from	ADP
ejpam-7184	246	55	u(1	u(1	PROPN
ejpam-7184	246	56	,	,	PUNCT
ejpam-7184	246	57	gy	gy	PROPN
ejpam-7184	246	58	(	(	PUNCT
ejpam-7184	246	59	t	t	PROPN
ejpam-7184	246	60	)	)	PUNCT
ejpam-7184	246	61	)	)	PUNCT
ejpam-7184	246	62	.	.	PUNCT
ejpam-7184	247	1	proof	proof	NOUN
ejpam-7184	247	2	.	.	PUNCT
ejpam-7184	248	1	from	from	ADP
ejpam-7184	248	2	(	(	PUNCT
ejpam-7184	248	3	1.2	1.2	NUM
ejpam-7184	248	4	)	)	PUNCT
ejpam-7184	248	5	,	,	PUNCT
ejpam-7184	248	6	(	(	PUNCT
ejpam-7184	248	7	1.11	1.11	NUM
ejpam-7184	248	8	)	)	PUNCT
ejpam-7184	248	9	and	and	CCONJ
ejpam-7184	248	10	(	(	PUNCT
ejpam-7184	248	11	1.12	1.12	NUM
ejpam-7184	248	12	)	)	PUNCT
ejpam-7184	248	13	,	,	PUNCT
ejpam-7184	248	14	we	we	PRON
ejpam-7184	248	15	have	have	VERB
ejpam-7184	248	16	εr(y[r	εr(y[r	PROPN
ejpam-7184	248	17	,	,	PUNCT
ejpam-7184	248	18	n	n	CCONJ
ejpam-7184	248	19	,	,	PUNCT
ejpam-7184	248	20	w	w	NOUN
ejpam-7184	248	21	,	,	PUNCT
ejpam-7184	248	22	l	l	NOUN
ejpam-7184	248	23	]	]	X
ejpam-7184	248	24	;	;	PUNCT
ejpam-7184	248	25	t	t	X
ejpam-7184	248	26	)	)	PUNCT
ejpam-7184	248	27	=	=	SYM
ejpam-7184	248	28	−1	−1	NOUN
ejpam-7184	249	1	2	2	NUM
ejpam-7184	249	2	∫	∫	NOUN
ejpam-7184	249	3	∞	∞	PROPN
ejpam-7184	249	4	t	t	PROPN
ejpam-7184	249	5	g2y	g2y	PROPN
ejpam-7184	249	6	(	(	PUNCT
ejpam-7184	249	7	y	y	NOUN
ejpam-7184	249	8	)	)	PUNCT
ejpam-7184	249	9	[	[	PUNCT
ejpam-7184	249	10	1	1	NUM
ejpam-7184	249	11	+	+	NUM
ejpam-7184	249	12	δr∗	δr∗	NOUN
ejpam-7184	249	13	[	[	X
ejpam-7184	249	14	r	r	X
ejpam-7184	249	15	,	,	PUNCT
ejpam-7184	249	16	n	n	CCONJ
ejpam-7184	249	17	,	,	PUNCT
ejpam-7184	249	18	w	w	PROPN
ejpam-7184	249	19	,	,	PUNCT
ejpam-7184	249	20	l]ḡy	l]ḡy	PROPN
ejpam-7184	249	21	(	(	PUNCT
ejpam-7184	249	22	y	y	NOUN
ejpam-7184	249	23	)	)	PUNCT
ejpam-7184	249	24	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	249	25	y	y	PROPN
ejpam-7184	249	26	(	(	PUNCT
ejpam-7184	249	27	y	y	PROPN
ejpam-7184	249	28	)	)	PUNCT
ejpam-7184	249	29	(	(	PUNCT
ejpam-7184	249	30	λ−	λ−	PROPN
ejpam-7184	249	31	(	(	PUNCT
ejpam-7184	249	32	α+	α+	X
ejpam-7184	249	33	λ)gy	λ)gy	PROPN
ejpam-7184	249	34	(	(	PUNCT
ejpam-7184	249	35	y	y	NOUN
ejpam-7184	249	36	)	)	PUNCT
ejpam-7184	249	37	)	)	PUNCT
ejpam-7184	249	38	]	]	PUNCT
ejpam-7184	249	39	2	2	NUM
ejpam-7184	249	40	dy	dy	X
ejpam-7184	249	41	ḡ2	ḡ2	X
ejpam-7184	249	42	y	y	PROPN
ejpam-7184	249	43	(	(	PUNCT
ejpam-7184	249	44	t	t	PROPN
ejpam-7184	249	45	)	)	PUNCT
ejpam-7184	249	46	[	[	PUNCT
ejpam-7184	249	47	1	1	NUM
ejpam-7184	249	48	+	+	NUM
ejpam-7184	249	49	δη∗[r	δη∗[r	NOUN
ejpam-7184	249	50	,	,	PUNCT
ejpam-7184	249	51	n	n	CCONJ
ejpam-7184	249	52	,	,	PUNCT
ejpam-7184	249	53	w	w	PROPN
ejpam-7184	249	54	,	,	PUNCT
ejpam-7184	249	55	l]ḡy	l]ḡy	PROPN
ejpam-7184	249	56	(	(	PUNCT
ejpam-7184	249	57	t)α−1gλ	t)α−1gλ	PROPN
ejpam-7184	249	58	y	y	PROPN
ejpam-7184	249	59	(	(	PUNCT
ejpam-7184	249	60	t	t	PROPN
ejpam-7184	249	61	)	)	PUNCT
ejpam-7184	249	62	]	]	PUNCT
ejpam-7184	249	63	2	2	X
ejpam-7184	249	64	=	=	SYM
ejpam-7184	249	65	[	[	PUNCT
ejpam-7184	249	66	1	1	NUM
ejpam-7184	249	67	1	1	NUM
ejpam-7184	249	68	+	+	NUM
ejpam-7184	249	69	δη∗[r	δη∗[r	NOUN
ejpam-7184	249	70	,	,	PUNCT
ejpam-7184	249	71	n	n	CCONJ
ejpam-7184	249	72	,	,	PUNCT
ejpam-7184	249	73	w	w	PROPN
ejpam-7184	249	74	,	,	PUNCT
ejpam-7184	249	75	l]ḡy	l]ḡy	PROPN
ejpam-7184	249	76	(	(	PUNCT
ejpam-7184	249	77	t)α−1gλ	t)α−1gλ	PROPN
ejpam-7184	249	78	y	y	PROPN
ejpam-7184	249	79	(	(	PUNCT
ejpam-7184	249	80	t	t	PROPN
ejpam-7184	249	81	)	)	PUNCT
ejpam-7184	249	82	]	]	PUNCT
ejpam-7184	249	83	2[εr(y	2[εr(y	NUM
ejpam-7184	249	84	)	)	PUNCT
ejpam-7184	249	85	−	−	PROPN
ejpam-7184	249	86	δr∗	δr∗	NOUN
ejpam-7184	249	87	[	[	X
ejpam-7184	249	88	r	r	X
ejpam-7184	249	89	,	,	PUNCT
ejpam-7184	249	90	n	n	CCONJ
ejpam-7184	249	91	,	,	PUNCT
ejpam-7184	249	92	w	w	NOUN
ejpam-7184	249	93	,	,	PUNCT
ejpam-7184	249	94	l	l	NOUN
ejpam-7184	249	95	]	]	X
ejpam-7184	249	96	ḡ2	ḡ2	X
ejpam-7184	249	97	y	y	PROPN
ejpam-7184	249	98	(	(	PUNCT
ejpam-7184	249	99	t	t	PROPN
ejpam-7184	249	100	)	)	PUNCT
ejpam-7184	249	101	∫	∫	PROPN
ejpam-7184	250	1	∞	∞	PROPN
ejpam-7184	250	2	t	t	PROPN
ejpam-7184	250	3	g2y	g2y	PROPN
ejpam-7184	250	4	(	(	PUNCT
ejpam-7184	250	5	y	y	NOUN
ejpam-7184	250	6	)	)	PUNCT
ejpam-7184	250	7	×	×	NOUN
ejpam-7184	250	8	ḡy	ḡy	PROPN
ejpam-7184	250	9	(	(	PUNCT
ejpam-7184	250	10	y	y	NOUN
ejpam-7184	250	11	)	)	PUNCT
ejpam-7184	250	12	α−1gλ−1	α−1gλ−1	NOUN
ejpam-7184	250	13	y	y	PROPN
ejpam-7184	250	14	(	(	PUNCT
ejpam-7184	250	15	y	y	PROPN
ejpam-7184	250	16	)	)	PUNCT
ejpam-7184	250	17	(	(	PUNCT
ejpam-7184	250	18	λ−	λ−	PROPN
ejpam-7184	250	19	(	(	PUNCT
ejpam-7184	250	20	α+	α+	X
ejpam-7184	250	21	λ)gy	λ)gy	PROPN
ejpam-7184	250	22	(	(	PUNCT
ejpam-7184	250	23	y	y	NOUN
ejpam-7184	250	24	)	)	PUNCT
ejpam-7184	250	25	)	)	PUNCT
ejpam-7184	250	26	dy	dy	NOUN
ejpam-7184	250	27	−	−	PROPN
ejpam-7184	251	1	(	(	PUNCT
ejpam-7184	251	2	δr∗	δr∗	CCONJ
ejpam-7184	251	3	[	[	X
ejpam-7184	251	4	r	r	X
ejpam-7184	251	5	,	,	PUNCT
ejpam-7184	251	6	n	n	CCONJ
ejpam-7184	251	7	,	,	PUNCT
ejpam-7184	251	8	w	w	NOUN
ejpam-7184	251	9	,	,	PUNCT
ejpam-7184	251	10	l	l	NOUN
ejpam-7184	251	11	]	]	X
ejpam-7184	251	12	)	)	PUNCT
ejpam-7184	251	13	2	2	NUM
ejpam-7184	251	14	2ḡ2	2ḡ2	NUM
ejpam-7184	251	15	y	y	PROPN
ejpam-7184	251	16	(	(	PUNCT
ejpam-7184	251	17	t	t	PROPN
ejpam-7184	251	18	)	)	PUNCT
ejpam-7184	251	19	∫	∫	PROPN
ejpam-7184	252	1	∞	∞	PROPN
ejpam-7184	252	2	t	t	PROPN
ejpam-7184	252	3	g2y	g2y	PROPN
ejpam-7184	252	4	(	(	PUNCT
ejpam-7184	252	5	y	y	NOUN
ejpam-7184	252	6	)	)	PUNCT
ejpam-7184	252	7	×	×	NOUN
ejpam-7184	252	8	ḡy	ḡy	PROPN
ejpam-7184	252	9	(	(	PUNCT
ejpam-7184	252	10	y	y	NOUN
ejpam-7184	252	11	)	)	PUNCT
ejpam-7184	252	12	2(α−1)g	2(α−1)g	NUM
ejpam-7184	252	13	2(λ−1	2(λ−1	NOUN
ejpam-7184	252	14	)	)	PUNCT
ejpam-7184	253	1	y	y	PROPN
ejpam-7184	253	2	(	(	PUNCT
ejpam-7184	253	3	y	y	PROPN
ejpam-7184	253	4	)	)	PUNCT
ejpam-7184	253	5	(	(	PUNCT
ejpam-7184	253	6	λ−	λ−	PROPN
ejpam-7184	253	7	(	(	PUNCT
ejpam-7184	253	8	α+	α+	X
ejpam-7184	253	9	λ)gy	λ)gy	PROPN
ejpam-7184	253	10	(	(	PUNCT
ejpam-7184	253	11	y	y	NOUN
ejpam-7184	253	12	)	)	PUNCT
ejpam-7184	253	13	)	)	PUNCT
ejpam-7184	253	14	2	2	NUM
ejpam-7184	253	15	dy	dy	NOUN
ejpam-7184	253	16	]	]	X
ejpam-7184	253	17	.	.	PUNCT
ejpam-7184	254	1	=	=	PUNCT
ejpam-7184	254	2	[	[	PUNCT
ejpam-7184	254	3	1	1	NUM
ejpam-7184	254	4	1	1	NUM
ejpam-7184	254	5	+	+	NUM
ejpam-7184	254	6	δη∗[r	δη∗[r	NOUN
ejpam-7184	254	7	,	,	PUNCT
ejpam-7184	254	8	n	n	CCONJ
ejpam-7184	254	9	,	,	PUNCT
ejpam-7184	254	10	w	w	PROPN
ejpam-7184	254	11	,	,	PUNCT
ejpam-7184	254	12	l]ḡy	l]ḡy	PROPN
ejpam-7184	254	13	(	(	PUNCT
ejpam-7184	254	14	t)α−1gλ	t)α−1gλ	PROPN
ejpam-7184	254	15	y	y	PROPN
ejpam-7184	254	16	(	(	PUNCT
ejpam-7184	254	17	t	t	PROPN
ejpam-7184	254	18	)	)	PUNCT
ejpam-7184	254	19	]	]	PUNCT
ejpam-7184	254	20	2[εr(y	2[εr(y	NUM
ejpam-7184	254	21	)	)	PUNCT
ejpam-7184	254	22	−	−	PROPN
ejpam-7184	254	23	δr∗	δr∗	NOUN
ejpam-7184	255	1	[	[	X
ejpam-7184	255	2	r	r	X
ejpam-7184	255	3	,	,	PUNCT
ejpam-7184	255	4	n	n	CCONJ
ejpam-7184	255	5	,	,	PUNCT
ejpam-7184	255	6	w	w	NOUN
ejpam-7184	255	7	,	,	PUNCT
ejpam-7184	255	8	l	l	NOUN
ejpam-7184	255	9	]	]	X
ejpam-7184	255	10	ḡ2	ḡ2	X
ejpam-7184	255	11	y	y	PROPN
ejpam-7184	255	12	(	(	PUNCT
ejpam-7184	255	13	t	t	PROPN
ejpam-7184	255	14	)	)	PUNCT
ejpam-7184	255	15	×	×	NOUN
ejpam-7184	255	16	∫	∫	NOUN
ejpam-7184	255	17	1	1	NUM
ejpam-7184	255	18	gy	gy	PROPN
ejpam-7184	255	19	(	(	PUNCT
ejpam-7184	255	20	t	t	PROPN
ejpam-7184	255	21	)	)	PUNCT
ejpam-7184	255	22	(	(	PUNCT
ejpam-7184	255	23	1−	1−	NUM
ejpam-7184	255	24	u)α−1	u)α−1	PROPN
ejpam-7184	255	25	uλ−1	uλ−1	PROPN
ejpam-7184	255	26	(	(	PUNCT
ejpam-7184	255	27	λ−	λ−	PROPN
ejpam-7184	255	28	(	(	PUNCT
ejpam-7184	255	29	α+	α+	X
ejpam-7184	255	30	λ)u	λ)u	ADJ
ejpam-7184	255	31	)	)	PUNCT
ejpam-7184	255	32	g(g−1	g(g−1	PROPN
ejpam-7184	255	33	y	y	PROPN
ejpam-7184	255	34	(	(	PUNCT
ejpam-7184	255	35	u))du−	u))du−	VERB
ejpam-7184	255	36	(	(	PUNCT
ejpam-7184	255	37	δr∗	δr∗	NOUN
ejpam-7184	255	38	[	[	X
ejpam-7184	255	39	r	r	X
ejpam-7184	255	40	,	,	PUNCT
ejpam-7184	255	41	n	n	CCONJ
ejpam-7184	255	42	,	,	PUNCT
ejpam-7184	255	43	w	w	NOUN
ejpam-7184	255	44	,	,	PUNCT
ejpam-7184	255	45	l	l	NOUN
ejpam-7184	255	46	]	]	X
ejpam-7184	255	47	)	)	PUNCT
ejpam-7184	255	48	2	2	NUM
ejpam-7184	255	49	2ḡ2	2ḡ2	NUM
ejpam-7184	255	50	y	y	PROPN
ejpam-7184	255	51	(	(	PUNCT
ejpam-7184	255	52	t	t	PROPN
ejpam-7184	255	53	)	)	PUNCT
ejpam-7184	255	54	×	×	NOUN
ejpam-7184	255	55	∫	∫	NOUN
ejpam-7184	255	56	1	1	NUM
ejpam-7184	255	57	gy	gy	PROPN
ejpam-7184	255	58	(	(	PUNCT
ejpam-7184	255	59	t	t	PROPN
ejpam-7184	255	60	)	)	PUNCT
ejpam-7184	255	61	(	(	PUNCT
ejpam-7184	255	62	1−	1−	NUM
ejpam-7184	255	63	u)2(α−1	u)2(α−1	NOUN
ejpam-7184	255	64	)	)	PUNCT
ejpam-7184	255	65	u2(λ−1	u2(λ−1	NOUN
ejpam-7184	255	66	)	)	PUNCT
ejpam-7184	255	67	(	(	PUNCT
ejpam-7184	255	68	λ−	λ−	PROPN
ejpam-7184	255	69	(	(	PUNCT
ejpam-7184	255	70	α+	α+	X
ejpam-7184	255	71	λ)u)2	λ)u)2	ADJ
ejpam-7184	255	72	g(g−1	g(g−1	ADJ
ejpam-7184	255	73	y	y	PROPN
ejpam-7184	255	74	(	(	PUNCT
ejpam-7184	255	75	u))du	u))du	PROPN
ejpam-7184	255	76	]	]	PUNCT
ejpam-7184	255	77	m.	m.	NOUN
ejpam-7184	255	78	s.	s.	PROPN
ejpam-7184	255	79	mohamed	mohamed	PROPN
ejpam-7184	255	80	et	et	PROPN
ejpam-7184	255	81	al	al	PROPN
ejpam-7184	255	82	.	.	PUNCT
ejpam-7184	255	83	/	/	SYM
ejpam-7184	255	84	eur	eur	PROPN
ejpam-7184	255	85	.	.	PUNCT
ejpam-7184	256	1	j.	j.	PROPN
ejpam-7184	256	2	pure	pure	PROPN
ejpam-7184	256	3	appl	appl	PROPN
ejpam-7184	256	4	.	.	PROPN
ejpam-7184	256	5	math	math	PROPN
ejpam-7184	256	6	,	,	PUNCT
ejpam-7184	256	7	18	18	NUM
ejpam-7184	256	8	(	(	PUNCT
ejpam-7184	256	9	4	4	NUM
ejpam-7184	256	10	)	)	PUNCT
ejpam-7184	256	11	(	(	PUNCT
ejpam-7184	256	12	2025	2025	NUM
ejpam-7184	256	13	)	)	PUNCT
ejpam-7184	256	14	,	,	PUNCT
ejpam-7184	256	15	7184	7184	NUM
ejpam-7184	256	16	12	12	NUM
ejpam-7184	256	17	of	of	ADP
ejpam-7184	256	18	21	21	NUM
ejpam-7184	256	19	=	=	SYM
ejpam-7184	256	20	[	[	PUNCT
ejpam-7184	256	21	1	1	NUM
ejpam-7184	256	22	1	1	NUM
ejpam-7184	256	23	+	+	NUM
ejpam-7184	256	24	δη∗[r	δη∗[r	NOUN
ejpam-7184	256	25	,	,	PUNCT
ejpam-7184	256	26	n	n	CCONJ
ejpam-7184	256	27	,	,	PUNCT
ejpam-7184	256	28	w	w	PROPN
ejpam-7184	256	29	,	,	PUNCT
ejpam-7184	256	30	l]ḡy	l]ḡy	PROPN
ejpam-7184	256	31	(	(	PUNCT
ejpam-7184	256	32	t)α−1gλ	t)α−1gλ	PROPN
ejpam-7184	256	33	y	y	PROPN
ejpam-7184	256	34	(	(	PUNCT
ejpam-7184	256	35	t	t	PROPN
ejpam-7184	256	36	)	)	PUNCT
ejpam-7184	256	37	]	]	PUNCT
ejpam-7184	257	1	2[εr(y	2[εr(y	NUM
ejpam-7184	257	2	)	)	PUNCT
ejpam-7184	257	3	−	−	PROPN
ejpam-7184	257	4	δr∗	δr∗	NOUN
ejpam-7184	258	1	[	[	X
ejpam-7184	258	2	r	r	X
ejpam-7184	258	3	,	,	PUNCT
ejpam-7184	258	4	n	n	CCONJ
ejpam-7184	258	5	,	,	PUNCT
ejpam-7184	258	6	w	w	NOUN
ejpam-7184	258	7	,	,	PUNCT
ejpam-7184	258	8	l	l	NOUN
ejpam-7184	258	9	]	]	X
ejpam-7184	258	10	ḡ2	ḡ2	X
ejpam-7184	258	11	y	y	PROPN
ejpam-7184	258	12	(	(	PUNCT
ejpam-7184	258	13	t	t	PROPN
ejpam-7184	258	14	)	)	PUNCT
ejpam-7184	258	15	×	×	NOUN
ejpam-7184	258	16	e((1−	e((1−	X
ejpam-7184	258	17	u)α−1	u)α−1	PROPN
ejpam-7184	258	18	uλ−1	uλ−1	PROPN
ejpam-7184	258	19	(	(	PUNCT
ejpam-7184	258	20	λ−	λ−	PROPN
ejpam-7184	258	21	(	(	PUNCT
ejpam-7184	258	22	α+	α+	X
ejpam-7184	258	23	λ)u	λ)u	ADJ
ejpam-7184	258	24	)	)	PUNCT
ejpam-7184	258	25	g(g−1	g(g−1	PROPN
ejpam-7184	258	26	y	y	PROPN
ejpam-7184	258	27	(	(	PUNCT
ejpam-7184	258	28	u)))−	u)))−	PROPN
ejpam-7184	258	29	(	(	PUNCT
ejpam-7184	258	30	δr∗	δr∗	NOUN
ejpam-7184	258	31	[	[	X
ejpam-7184	258	32	r	r	X
ejpam-7184	258	33	,	,	PUNCT
ejpam-7184	258	34	n	n	CCONJ
ejpam-7184	258	35	,	,	PUNCT
ejpam-7184	258	36	w	w	NOUN
ejpam-7184	258	37	,	,	PUNCT
ejpam-7184	258	38	l	l	NOUN
ejpam-7184	258	39	]	]	X
ejpam-7184	258	40	)	)	PUNCT
ejpam-7184	258	41	2	2	NUM
ejpam-7184	258	42	2ḡ2	2ḡ2	NUM
ejpam-7184	258	43	y	y	PROPN
ejpam-7184	258	44	(	(	PUNCT
ejpam-7184	258	45	t	t	PROPN
ejpam-7184	258	46	)	)	PUNCT
ejpam-7184	258	47	×	×	NOUN
ejpam-7184	258	48	e((1−	e((1−	X
ejpam-7184	258	49	u)2(α−1	u)2(α−1	PROPN
ejpam-7184	258	50	)	)	PUNCT
ejpam-7184	258	51	u2(λ−1	u2(λ−1	NOUN
ejpam-7184	258	52	)	)	PUNCT
ejpam-7184	258	53	(	(	PUNCT
ejpam-7184	258	54	λ−	λ−	PROPN
ejpam-7184	258	55	(	(	PUNCT
ejpam-7184	258	56	α+	α+	X
ejpam-7184	258	57	λ)u)2	λ)u)2	ADJ
ejpam-7184	258	58	g(g−1	g(g−1	ADJ
ejpam-7184	258	59	y	y	PROPN
ejpam-7184	258	60	(	(	PUNCT
ejpam-7184	258	61	u	u	NOUN
ejpam-7184	258	62	)	)	PUNCT
ejpam-7184	258	63	)	)	PUNCT
ejpam-7184	258	64	)	)	PUNCT
ejpam-7184	258	65	]	]	PUNCT
ejpam-7184	258	66	.	.	PUNCT
ejpam-7184	259	1	theorem	theorem	PROPN
ejpam-7184	259	2	2.2.2	2.2.2	NUM
ejpam-7184	259	3	.	.	PUNCT
ejpam-7184	260	1	assume	assume	VERB
ejpam-7184	260	2	that	that	SCONJ
ejpam-7184	260	3	the	the	DET
ejpam-7184	260	4	r	r	NOUN
ejpam-7184	260	5	-	-	PUNCT
ejpam-7184	260	6	th	th	PRON
ejpam-7184	260	7	w	w	NOUN
ejpam-7184	260	8	-	-	PUNCT
ejpam-7184	260	9	gos	gos	NOUN
ejpam-7184	260	10	concomitant	concomitant	PROPN
ejpam-7184	260	11	y[r	y[r	PROPN
ejpam-7184	260	12	,	,	PUNCT
ejpam-7184	260	13	n	n	CCONJ
ejpam-7184	260	14	,	,	PUNCT
ejpam-7184	260	15	w	w	PROPN
ejpam-7184	260	16	,	,	PUNCT
ejpam-7184	260	17	l	l	NOUN
ejpam-7184	260	18	]	]	X
ejpam-7184	260	19	is	be	AUX
ejpam-7184	260	20	a	a	DET
ejpam-7184	260	21	continuous	continuous	ADJ
ejpam-7184	260	22	and	and	CCONJ
ejpam-7184	260	23	non	non	ADJ
ejpam-7184	260	24	-	-	ADJ
ejpam-7184	260	25	negative	negative	ADJ
ejpam-7184	260	26	r.v	r.v	PROPN
ejpam-7184	260	27	.	.	PROPN
ejpam-7184	260	28	from	from	ADP
ejpam-7184	260	29	the	the	DET
ejpam-7184	260	30	lai	lai	PROPN
ejpam-7184	260	31	and	and	CCONJ
ejpam-7184	260	32	xie	xie	PROPN
ejpam-7184	260	33	extensions	extension	NOUN
ejpam-7184	260	34	.	.	PUNCT
ejpam-7184	261	1	from	from	ADP
ejpam-7184	261	2	(	(	PUNCT
ejpam-7184	261	3	1.3	1.3	NUM
ejpam-7184	261	4	)	)	PUNCT
ejpam-7184	261	5	,	,	PUNCT
ejpam-7184	261	6	(	(	PUNCT
ejpam-7184	261	7	1.10	1.10	NUM
ejpam-7184	261	8	)	)	PUNCT
ejpam-7184	261	9	,	,	PUNCT
ejpam-7184	261	10	and	and	CCONJ
ejpam-7184	261	11	(	(	PUNCT
ejpam-7184	261	12	1.11	1.11	NUM
ejpam-7184	261	13	)	)	PUNCT
ejpam-7184	261	14	,	,	PUNCT
ejpam-7184	261	15	the	the	DET
ejpam-7184	261	16	residual	residual	ADJ
ejpam-7184	261	17	extropy	extropy	NOUN
ejpam-7184	261	18	of	of	ADP
ejpam-7184	261	19	the	the	DET
ejpam-7184	261	20	r	r	NOUN
ejpam-7184	261	21	-	-	PUNCT
ejpam-7184	261	22	th	th	PRON
ejpam-7184	261	23	w	w	NOUN
ejpam-7184	261	24	-	-	PUNCT
ejpam-7184	261	25	gos	gos	NOUN
ejpam-7184	261	26	,	,	PUNCT
ejpam-7184	261	27	based	base	VERB
ejpam-7184	261	28	on	on	ADP
ejpam-7184	261	29	the	the	DET
ejpam-7184	261	30	concomitant	concomitant	PROPN
ejpam-7184	261	31	y[r	y[r	PROPN
ejpam-7184	261	32	,	,	PUNCT
ejpam-7184	261	33	n	n	CCONJ
ejpam-7184	261	34	,	,	PUNCT
ejpam-7184	261	35	w	w	NOUN
ejpam-7184	261	36	,	,	PUNCT
ejpam-7184	261	37	l	l	NOUN
ejpam-7184	261	38	]	]	PUNCT
ejpam-7184	261	39	,	,	PUNCT
ejpam-7184	261	40	is	be	AUX
ejpam-7184	261	41	given	give	VERB
ejpam-7184	261	42	by	by	ADP
ejpam-7184	261	43	εt(y[r	εt(y[r	PROPN
ejpam-7184	261	44	,	,	PUNCT
ejpam-7184	261	45	n	n	CCONJ
ejpam-7184	261	46	,	,	PUNCT
ejpam-7184	261	47	w	w	NOUN
ejpam-7184	261	48	,	,	PUNCT
ejpam-7184	261	49	l	l	NOUN
ejpam-7184	261	50	]	]	X
ejpam-7184	261	51	)	)	PUNCT
ejpam-7184	262	1	=	=	SYM
ejpam-7184	262	2	εp	εp	PROPN
ejpam-7184	262	3	(	(	PUNCT
ejpam-7184	262	4	y[r	y[r	PROPN
ejpam-7184	262	5	,	,	PUNCT
ejpam-7184	262	6	n	n	CCONJ
ejpam-7184	262	7	,	,	PUNCT
ejpam-7184	262	8	w	w	NOUN
ejpam-7184	262	9	,	,	PUNCT
ejpam-7184	262	10	l	l	NOUN
ejpam-7184	262	11	]	]	X
ejpam-7184	262	12	;	;	PUNCT
ejpam-7184	262	13	t	t	X
ejpam-7184	262	14	)	)	PUNCT
ejpam-7184	262	15	=	=	PUNCT
ejpam-7184	263	1	[	[	PUNCT
ejpam-7184	263	2	1	1	NUM
ejpam-7184	263	3	1	1	NUM
ejpam-7184	263	4	+	+	NUM
ejpam-7184	263	5	δη∗[r	δη∗[r	NOUN
ejpam-7184	263	6	,	,	PUNCT
ejpam-7184	263	7	n	n	CCONJ
ejpam-7184	263	8	,	,	PUNCT
ejpam-7184	263	9	w	w	PROPN
ejpam-7184	263	10	,	,	PUNCT
ejpam-7184	263	11	l]ḡy	l]ḡy	NOUN
ejpam-7184	263	12	(	(	PUNCT
ejpam-7184	263	13	t)αg	t)αg	PROPN
ejpam-7184	263	14	λ−1	λ−1	PROPN
ejpam-7184	263	15	y	y	PROPN
ejpam-7184	263	16	(	(	PUNCT
ejpam-7184	263	17	t	t	PROPN
ejpam-7184	263	18	)	)	PUNCT
ejpam-7184	263	19	]	]	PUNCT
ejpam-7184	263	20	2[εp	2[εp	X
ejpam-7184	263	21	(	(	PUNCT
ejpam-7184	263	22	y	y	PROPN
ejpam-7184	263	23	)	)	PUNCT
ejpam-7184	263	24	−	−	PROPN
ejpam-7184	264	1	δr∗	δr∗	CCONJ
ejpam-7184	265	1	[	[	X
ejpam-7184	265	2	r	r	X
ejpam-7184	265	3	,	,	PUNCT
ejpam-7184	265	4	n	n	CCONJ
ejpam-7184	265	5	,	,	PUNCT
ejpam-7184	265	6	w	w	NOUN
ejpam-7184	265	7	,	,	PUNCT
ejpam-7184	265	8	l	l	NOUN
ejpam-7184	265	9	]	]	X
ejpam-7184	265	10	g2	g2	PROPN
ejpam-7184	265	11	y	y	PROPN
ejpam-7184	265	12	(	(	PUNCT
ejpam-7184	265	13	t	t	PROPN
ejpam-7184	265	14	)	)	PUNCT
ejpam-7184	265	15	e((1−	e((1−	X
ejpam-7184	265	16	u)α−1	u)α−1	PROPN
ejpam-7184	265	17	uλ−1	uλ−1	PROPN
ejpam-7184	265	18	(	(	PUNCT
ejpam-7184	265	19	λ−	λ−	PROPN
ejpam-7184	265	20	(	(	PUNCT
ejpam-7184	265	21	α+	α+	X
ejpam-7184	265	22	λ)u	λ)u	ADJ
ejpam-7184	265	23	)	)	PUNCT
ejpam-7184	265	24	g(g−1	g(g−1	PROPN
ejpam-7184	265	25	y	y	PROPN
ejpam-7184	265	26	(	(	PUNCT
ejpam-7184	265	27	u	u	NOUN
ejpam-7184	265	28	)	)	PUNCT
ejpam-7184	265	29	)	)	PUNCT
ejpam-7184	265	30	)	)	PUNCT
ejpam-7184	266	1	−	−	PROPN
ejpam-7184	266	2	(	(	PUNCT
ejpam-7184	266	3	δr∗	δr∗	CCONJ
ejpam-7184	266	4	[	[	X
ejpam-7184	266	5	r	r	X
ejpam-7184	266	6	,	,	PUNCT
ejpam-7184	266	7	n	n	CCONJ
ejpam-7184	266	8	,	,	PUNCT
ejpam-7184	266	9	w	w	NOUN
ejpam-7184	266	10	,	,	PUNCT
ejpam-7184	266	11	l	l	NOUN
ejpam-7184	266	12	]	]	X
ejpam-7184	266	13	)	)	PUNCT
ejpam-7184	266	14	2	2	NUM
ejpam-7184	266	15	2g2	2g2	NUM
ejpam-7184	266	16	y	y	PROPN
ejpam-7184	266	17	(	(	PUNCT
ejpam-7184	266	18	t	t	PROPN
ejpam-7184	266	19	)	)	PUNCT
ejpam-7184	266	20	e((1−	e((1−	NUM
ejpam-7184	266	21	u)2(α−1	u)2(α−1	PROPN
ejpam-7184	266	22	)	)	PUNCT
ejpam-7184	266	23	u2(λ−1	u2(λ−1	NOUN
ejpam-7184	266	24	)	)	PUNCT
ejpam-7184	266	25	(	(	PUNCT
ejpam-7184	266	26	λ−	λ−	PROPN
ejpam-7184	266	27	(	(	PUNCT
ejpam-7184	266	28	α+	α+	X
ejpam-7184	266	29	λ)u)2	λ)u)2	ADJ
ejpam-7184	266	30	g(g−1	g(g−1	ADJ
ejpam-7184	266	31	y	y	PROPN
ejpam-7184	266	32	(	(	PUNCT
ejpam-7184	266	33	u	u	NOUN
ejpam-7184	266	34	)	)	PUNCT
ejpam-7184	266	35	)	)	PUNCT
ejpam-7184	266	36	)	)	PUNCT
ejpam-7184	266	37	]	]	PUNCT
ejpam-7184	266	38	,	,	PUNCT
ejpam-7184	266	39	where	where	SCONJ
ejpam-7184	266	40	εp	εp	PART
ejpam-7184	266	41	(	(	PUNCT
ejpam-7184	266	42	y	y	PROPN
ejpam-7184	266	43	)	)	PUNCT
ejpam-7184	266	44	is	be	AUX
ejpam-7184	266	45	past	past	ADJ
ejpam-7184	266	46	extropy	extropy	NOUN
ejpam-7184	266	47	for	for	ADP
ejpam-7184	266	48	r.v	r.v	PROPN
ejpam-7184	266	49	.	.	PROPN
ejpam-7184	266	50	of	of	ADP
ejpam-7184	266	51	y	y	PROPN
ejpam-7184	266	52	and	and	CCONJ
ejpam-7184	266	53	up	up	ADV
ejpam-7184	266	54	is	be	AUX
ejpam-7184	266	55	r.v	r.v	PROPN
ejpam-7184	266	56	.	.	PROPN
ejpam-7184	266	57	from	from	ADP
ejpam-7184	266	58	u(0	u(0	PROPN
ejpam-7184	266	59	,	,	PUNCT
ejpam-7184	266	60	gy	gy	PROPN
ejpam-7184	266	61	(	(	PUNCT
ejpam-7184	266	62	t	t	PROPN
ejpam-7184	266	63	)	)	PUNCT
ejpam-7184	266	64	)	)	PUNCT
ejpam-7184	266	65	.	.	PUNCT
ejpam-7184	267	1	proof	proof	NOUN
ejpam-7184	267	2	.	.	PUNCT
ejpam-7184	268	1	an	an	DET
ejpam-7184	268	2	analogous	analogous	ADJ
ejpam-7184	268	3	set	set	NOUN
ejpam-7184	268	4	of	of	ADP
ejpam-7184	268	5	steps	step	NOUN
ejpam-7184	268	6	to	to	ADP
ejpam-7184	268	7	those	those	PRON
ejpam-7184	268	8	used	use	VERB
ejpam-7184	268	9	in	in	ADP
ejpam-7184	268	10	the	the	DET
ejpam-7184	268	11	proof	proof	NOUN
ejpam-7184	268	12	of	of	ADP
ejpam-7184	268	13	theorem	theorem	ADJ
ejpam-7184	268	14	2.2.1	2.2.1	NUM
ejpam-7184	268	15	could	could	AUX
ejpam-7184	268	16	be	be	AUX
ejpam-7184	268	17	applied	apply	VERB
ejpam-7184	268	18	here	here	ADV
ejpam-7184	268	19	.	.	PUNCT
ejpam-7184	269	1	2.3	2.3	NUM
ejpam-7184	269	2	.	.	PUNCT
ejpam-7184	270	1	cumulative	cumulative	ADJ
ejpam-7184	270	2	residual	residual	ADJ
ejpam-7184	270	3	extropy	extropy	NOUN
ejpam-7184	270	4	of	of	ADP
ejpam-7184	270	5	concomitants	concomitant	NOUN
ejpam-7184	270	6	for	for	ADP
ejpam-7184	270	7	w	w	ADV
ejpam-7184	270	8	-	-	PUNCT
ejpam-7184	270	9	generalized	generalize	VERB
ejpam-7184	270	10	order	order	NOUN
ejpam-7184	270	11	statistics	statistic	NOUN
ejpam-7184	270	12	in	in	ADP
ejpam-7184	270	13	this	this	DET
ejpam-7184	270	14	subsection	subsection	NOUN
ejpam-7184	270	15	,	,	PUNCT
ejpam-7184	270	16	we	we	PRON
ejpam-7184	270	17	will	will	AUX
ejpam-7184	270	18	derive	derive	VERB
ejpam-7184	270	19	the	the	DET
ejpam-7184	270	20	measure	measure	NOUN
ejpam-7184	270	21	of	of	ADP
ejpam-7184	270	22	crex	crex	NOUN
ejpam-7184	270	23	of	of	ADP
ejpam-7184	270	24	concomitants	concomitant	NOUN
ejpam-7184	270	25	for	for	ADP
ejpam-7184	270	26	w	w	NOUN
ejpam-7184	270	27	-	-	PUNCT
ejpam-7184	270	28	gos	gos	NOUN
ejpam-7184	270	29	,	,	PUNCT
ejpam-7184	270	30	y[r	y[r	PROPN
ejpam-7184	270	31	,	,	PUNCT
ejpam-7184	270	32	n	n	CCONJ
ejpam-7184	270	33	,	,	PUNCT
ejpam-7184	270	34	w	w	NOUN
ejpam-7184	270	35	,	,	PUNCT
ejpam-7184	270	36	l	l	NOUN
ejpam-7184	270	37	]	]	X
ejpam-7184	270	38	,	,	PUNCT
ejpam-7184	270	39	from	from	ADP
ejpam-7184	270	40	lai	lai	PROPN
ejpam-7184	270	41	and	and	CCONJ
ejpam-7184	270	42	xie	xie	PROPN
ejpam-7184	270	43	extensions	extension	NOUN
ejpam-7184	270	44	by	by	ADP
ejpam-7184	270	45	following	follow	VERB
ejpam-7184	270	46	theorem	theorem	VERB
ejpam-7184	270	47	.	.	PUNCT
ejpam-7184	271	1	theorem	theorem	PROPN
ejpam-7184	271	2	2.3.1	2.3.1	PROPN
ejpam-7184	271	3	.	.	PUNCT
ejpam-7184	272	1	assume	assume	VERB
ejpam-7184	272	2	that	that	SCONJ
ejpam-7184	272	3	the	the	DET
ejpam-7184	272	4	r	r	NOUN
ejpam-7184	272	5	-	-	PUNCT
ejpam-7184	272	6	th	th	PRON
ejpam-7184	272	7	w	w	NOUN
ejpam-7184	272	8	-	-	PUNCT
ejpam-7184	272	9	gos	gos	NOUN
ejpam-7184	272	10	concomitant	concomitant	PROPN
ejpam-7184	272	11	y[r	y[r	PROPN
ejpam-7184	272	12	,	,	PUNCT
ejpam-7184	272	13	n	n	CCONJ
ejpam-7184	272	14	,	,	PUNCT
ejpam-7184	272	15	w	w	PROPN
ejpam-7184	272	16	,	,	PUNCT
ejpam-7184	272	17	l	l	NOUN
ejpam-7184	272	18	]	]	X
ejpam-7184	272	19	is	be	AUX
ejpam-7184	272	20	a	a	DET
ejpam-7184	272	21	continuous	continuous	ADJ
ejpam-7184	272	22	and	and	CCONJ
ejpam-7184	272	23	non	non	ADJ
ejpam-7184	272	24	-	-	ADJ
ejpam-7184	272	25	negative	negative	ADJ
ejpam-7184	272	26	r.v	r.v	PROPN
ejpam-7184	272	27	.	.	PROPN
ejpam-7184	272	28	from	from	ADP
ejpam-7184	272	29	the	the	DET
ejpam-7184	272	30	lai	lai	PROPN
ejpam-7184	272	31	and	and	CCONJ
ejpam-7184	272	32	xie	xie	PROPN
ejpam-7184	272	33	extensions	extension	NOUN
ejpam-7184	272	34	.	.	PUNCT
ejpam-7184	273	1	then	then	ADV
ejpam-7184	273	2	,	,	PUNCT
ejpam-7184	273	3	the	the	DET
ejpam-7184	273	4	crex	crex	ADJ
ejpam-7184	273	5	extropy	extropy	NOUN
ejpam-7184	273	6	of	of	ADP
ejpam-7184	273	7	the	the	DET
ejpam-7184	273	8	r	r	NOUN
ejpam-7184	273	9	-	-	PUNCT
ejpam-7184	273	10	th	th	PRON
ejpam-7184	273	11	w	w	NOUN
ejpam-7184	273	12	-	-	PUNCT
ejpam-7184	273	13	gos	gos	NOUN
ejpam-7184	273	14	,	,	PUNCT
ejpam-7184	273	15	based	base	VERB
ejpam-7184	273	16	on	on	ADP
ejpam-7184	273	17	the	the	DET
ejpam-7184	273	18	concomitant	concomitant	PROPN
ejpam-7184	273	19	y[r	y[r	PROPN
ejpam-7184	273	20	,	,	PUNCT
ejpam-7184	273	21	n	n	CCONJ
ejpam-7184	273	22	,	,	PUNCT
ejpam-7184	273	23	w	w	NOUN
ejpam-7184	273	24	,	,	PUNCT
ejpam-7184	273	25	l	l	NOUN
ejpam-7184	273	26	]	]	PUNCT
ejpam-7184	273	27	,	,	PUNCT
ejpam-7184	273	28	is	be	AUX
ejpam-7184	273	29	given	give	VERB
ejpam-7184	273	30	by	by	ADP
ejpam-7184	273	31	ξ[r	ξ[r	NOUN
ejpam-7184	273	32	,	,	PUNCT
ejpam-7184	273	33	n	n	CCONJ
ejpam-7184	273	34	,	,	PUNCT
ejpam-7184	273	35	w	w	NOUN
ejpam-7184	273	36	,	,	PUNCT
ejpam-7184	273	37	l](y	l](y	ADJ
ejpam-7184	273	38	)	)	PUNCT
ejpam-7184	274	1	=	=	SYM
ejpam-7184	274	2	ξ(y	ξ(y	PROPN
ejpam-7184	274	3	)	)	PUNCT
ejpam-7184	274	4	−	−	PROPN
ejpam-7184	274	5	δη∗[r	δη∗[r	PROPN
ejpam-7184	274	6	,	,	PUNCT
ejpam-7184	274	7	n	n	CCONJ
ejpam-7184	274	8	,	,	PUNCT
ejpam-7184	274	9	w	w	PROPN
ejpam-7184	274	10	,	,	PUNCT
ejpam-7184	274	11	l]e((1−	l]e((1−	ADJ
ejpam-7184	274	12	u)α+1uλ	u)α+1uλ	SYM
ejpam-7184	274	13	1	1	NUM
ejpam-7184	274	14	g(g−1	g(g−1	PROPN
ejpam-7184	274	15	y	y	PROPN
ejpam-7184	274	16	(	(	PUNCT
ejpam-7184	274	17	u	u	NOUN
ejpam-7184	274	18	)	)	PUNCT
ejpam-7184	274	19	)	)	PUNCT
ejpam-7184	274	20	)	)	PUNCT
ejpam-7184	275	1	−	−	PROPN
ejpam-7184	275	2	(	(	PUNCT
ejpam-7184	275	3	δη∗[r	δη∗[r	PROPN
ejpam-7184	275	4	,	,	PUNCT
ejpam-7184	275	5	n	n	CCONJ
ejpam-7184	275	6	,	,	PUNCT
ejpam-7184	275	7	w	w	NOUN
ejpam-7184	275	8	,	,	PUNCT
ejpam-7184	275	9	l	l	NOUN
ejpam-7184	275	10	]	]	X
ejpam-7184	275	11	)	)	PUNCT
ejpam-7184	275	12	2	2	NUM
ejpam-7184	275	13	2	2	NUM
ejpam-7184	275	14	×	×	NOUN
ejpam-7184	275	15	e((1−	e((1−	NUM
ejpam-7184	275	16	u)2αu2λ	u)2αu2λ	PROPN
ejpam-7184	275	17	1	1	NUM
ejpam-7184	275	18	g(g−1	g(g−1	X
ejpam-7184	275	19	y	y	PROPN
ejpam-7184	275	20	(	(	PUNCT
ejpam-7184	275	21	u	u	NOUN
ejpam-7184	275	22	)	)	PUNCT
ejpam-7184	275	23	)	)	PUNCT
ejpam-7184	275	24	)	)	PUNCT
ejpam-7184	275	25	.	.	PUNCT
ejpam-7184	276	1	m.	m.	PROPN
ejpam-7184	276	2	s.	s.	PROPN
ejpam-7184	276	3	mohamed	mohamed	PROPN
ejpam-7184	276	4	et	et	PROPN
ejpam-7184	276	5	al	al	PROPN
ejpam-7184	276	6	.	.	PUNCT
ejpam-7184	276	7	/	/	SYM
ejpam-7184	276	8	eur	eur	PROPN
ejpam-7184	276	9	.	.	PUNCT
ejpam-7184	277	1	j.	j.	PROPN
ejpam-7184	277	2	pure	pure	PROPN
ejpam-7184	277	3	appl	appl	PROPN
ejpam-7184	277	4	.	.	PROPN
ejpam-7184	277	5	math	math	PROPN
ejpam-7184	277	6	,	,	PUNCT
ejpam-7184	277	7	18	18	NUM
ejpam-7184	277	8	(	(	PUNCT
ejpam-7184	277	9	4	4	NUM
ejpam-7184	277	10	)	)	PUNCT
ejpam-7184	277	11	(	(	PUNCT
ejpam-7184	277	12	2025	2025	NUM
ejpam-7184	277	13	)	)	PUNCT
ejpam-7184	277	14	,	,	PUNCT
ejpam-7184	277	15	7184	7184	NUM
ejpam-7184	277	16	13	13	NUM
ejpam-7184	277	17	of	of	ADP
ejpam-7184	277	18	21	21	NUM
ejpam-7184	277	19	proof	proof	NOUN
ejpam-7184	277	20	.	.	PUNCT
ejpam-7184	278	1	from	from	ADP
ejpam-7184	278	2	(	(	PUNCT
ejpam-7184	278	3	1.4	1.4	NUM
ejpam-7184	278	4	)	)	PUNCT
ejpam-7184	278	5	and	and	CCONJ
ejpam-7184	278	6	(	(	PUNCT
ejpam-7184	278	7	1.12	1.12	NUM
ejpam-7184	278	8	)	)	PUNCT
ejpam-7184	278	9	,	,	PUNCT
ejpam-7184	278	10	we	we	PRON
ejpam-7184	278	11	have	have	VERB
ejpam-7184	278	12	ξ[r	ξ[r	NOUN
ejpam-7184	278	13	,	,	PUNCT
ejpam-7184	278	14	n	n	CCONJ
ejpam-7184	278	15	,	,	PUNCT
ejpam-7184	278	16	w	w	NOUN
ejpam-7184	278	17	,	,	PUNCT
ejpam-7184	278	18	l](y	l](y	ADJ
ejpam-7184	278	19	)	)	PUNCT
ejpam-7184	279	1	=	=	SYM
ejpam-7184	279	2	−1	−1	NOUN
ejpam-7184	279	3	2	2	NUM
ejpam-7184	279	4	∫	∫	NOUN
ejpam-7184	279	5	∞	∞	NOUN
ejpam-7184	279	6	0	0	NUM
ejpam-7184	279	7	(	(	PUNCT
ejpam-7184	279	8	ḡ[r	ḡ[r	PROPN
ejpam-7184	279	9	,	,	PUNCT
ejpam-7184	279	10	n	n	CCONJ
ejpam-7184	279	11	,	,	PUNCT
ejpam-7184	279	12	w	w	NOUN
ejpam-7184	279	13	,	,	PUNCT
ejpam-7184	279	14	l](y	l](y	ADJ
ejpam-7184	279	15	)	)	PUNCT
ejpam-7184	279	16	)	)	PUNCT
ejpam-7184	280	1	2dy	2dy	NOUN
ejpam-7184	281	1	=	=	SYM
ejpam-7184	281	2	−1	−1	NOUN
ejpam-7184	281	3	2	2	NUM
ejpam-7184	281	4	∫	∫	NOUN
ejpam-7184	281	5	∞	∞	NOUN
ejpam-7184	281	6	0	0	PUNCT
ejpam-7184	282	1	[	[	PUNCT
ejpam-7184	282	2	ḡ2	ḡ2	X
ejpam-7184	282	3	y	y	PROPN
ejpam-7184	282	4	(	(	PUNCT
ejpam-7184	282	5	y	y	PROPN
ejpam-7184	282	6	)	)	PUNCT
ejpam-7184	282	7	+	+	CCONJ
ejpam-7184	282	8	2δη∗[r	2δη∗[r	NUM
ejpam-7184	282	9	,	,	PUNCT
ejpam-7184	282	10	n	n	CCONJ
ejpam-7184	282	11	,	,	PUNCT
ejpam-7184	282	12	w	w	PROPN
ejpam-7184	282	13	,	,	PUNCT
ejpam-7184	282	14	l]ḡy	l]ḡy	PROPN
ejpam-7184	282	15	(	(	PUNCT
ejpam-7184	282	16	y	y	NOUN
ejpam-7184	282	17	)	)	PUNCT
ejpam-7184	282	18	α+1gλ	α+1gλ	PROPN
ejpam-7184	282	19	y	y	PROPN
ejpam-7184	282	20	(	(	PUNCT
ejpam-7184	282	21	y	y	PROPN
ejpam-7184	282	22	)	)	PUNCT
ejpam-7184	282	23	+	+	CCONJ
ejpam-7184	282	24	(	(	PUNCT
ejpam-7184	282	25	δη∗[r	δη∗[r	NOUN
ejpam-7184	282	26	,	,	PUNCT
ejpam-7184	282	27	n	n	CCONJ
ejpam-7184	282	28	,	,	PUNCT
ejpam-7184	282	29	w	w	NOUN
ejpam-7184	282	30	,	,	PUNCT
ejpam-7184	282	31	l	l	NOUN
ejpam-7184	282	32	]	]	X
ejpam-7184	282	33	)	)	PUNCT
ejpam-7184	282	34	2ḡy	2ḡy	NUM
ejpam-7184	282	35	(	(	PUNCT
ejpam-7184	282	36	y	y	NOUN
ejpam-7184	282	37	)	)	PUNCT
ejpam-7184	282	38	2αg2λ	2αg2λ	NUM
ejpam-7184	283	1	y	y	PROPN
ejpam-7184	283	2	(	(	PUNCT
ejpam-7184	283	3	y	y	PROPN
ejpam-7184	283	4	)	)	PUNCT
ejpam-7184	283	5	]	]	PUNCT
ejpam-7184	284	1	dy	dy	X
ejpam-7184	284	2	.	.	PUNCT
ejpam-7184	285	1	=	=	PUNCT
ejpam-7184	285	2	ξ(y	ξ(y	PROPN
ejpam-7184	285	3	)	)	PUNCT
ejpam-7184	285	4	−	−	PROPN
ejpam-7184	285	5	δη∗[r	δη∗[r	PROPN
ejpam-7184	285	6	,	,	PUNCT
ejpam-7184	285	7	n	n	CCONJ
ejpam-7184	285	8	,	,	PUNCT
ejpam-7184	285	9	w	w	NOUN
ejpam-7184	285	10	,	,	PUNCT
ejpam-7184	285	11	l	l	NOUN
ejpam-7184	285	12	]	]	X
ejpam-7184	285	13	∫	∫	PROPN
ejpam-7184	285	14	∞	∞	NUM
ejpam-7184	285	15	0	0	NUM
ejpam-7184	286	1	(	(	PUNCT
ejpam-7184	286	2	1−	1−	NUM
ejpam-7184	286	3	u)α+1uλ	u)α+1uλ	SYM
ejpam-7184	286	4	1	1	NUM
ejpam-7184	286	5	g(g−1	g(g−1	PROPN
ejpam-7184	286	6	y	y	PROPN
ejpam-7184	286	7	(	(	PUNCT
ejpam-7184	286	8	u	u	NOUN
ejpam-7184	286	9	)	)	PUNCT
ejpam-7184	286	10	)	)	PUNCT
ejpam-7184	287	1	du−	du−	PROPN
ejpam-7184	287	2	(	(	PUNCT
ejpam-7184	287	3	δη∗[r	δη∗[r	PROPN
ejpam-7184	287	4	,	,	PUNCT
ejpam-7184	287	5	n	n	CCONJ
ejpam-7184	287	6	,	,	PUNCT
ejpam-7184	287	7	w	w	NOUN
ejpam-7184	287	8	,	,	PUNCT
ejpam-7184	287	9	l	l	NOUN
ejpam-7184	287	10	]	]	X
ejpam-7184	287	11	)	)	PUNCT
ejpam-7184	287	12	2	2	NUM
ejpam-7184	287	13	2	2	NUM
ejpam-7184	287	14	×	×	NOUN
ejpam-7184	287	15	∫	∫	NOUN
ejpam-7184	287	16	∞	∞	NOUN
ejpam-7184	287	17	0	0	NUM
ejpam-7184	287	18	(	(	PUNCT
ejpam-7184	287	19	1−	1−	NUM
ejpam-7184	287	20	u)2αu2λ	u)2αu2λ	SYM
ejpam-7184	287	21	1	1	NUM
ejpam-7184	287	22	g(g−1	g(g−1	ADJ
ejpam-7184	287	23	y	y	PROPN
ejpam-7184	287	24	(	(	PUNCT
ejpam-7184	287	25	u	u	NOUN
ejpam-7184	287	26	)	)	PUNCT
ejpam-7184	287	27	)	)	PUNCT
ejpam-7184	287	28	du	du	PROPN
ejpam-7184	287	29	,	,	PUNCT
ejpam-7184	287	30	with	with	ADP
ejpam-7184	287	31	noting	note	VERB
ejpam-7184	287	32	that	that	SCONJ
ejpam-7184	287	33	ξ(y	ξ(y	PROPN
ejpam-7184	287	34	)	)	PUNCT
ejpam-7184	287	35	is	be	AUX
ejpam-7184	287	36	the	the	DET
ejpam-7184	287	37	crex	crex	NOUN
ejpam-7184	287	38	of	of	ADP
ejpam-7184	287	39	r.v	r.v	PROPN
ejpam-7184	287	40	.	.	PROPN
ejpam-7184	287	41	y	y	PROPN
ejpam-7184	287	42	,	,	PUNCT
ejpam-7184	287	43	and	and	CCONJ
ejpam-7184	287	44	u	u	NOUN
ejpam-7184	287	45	is	be	AUX
ejpam-7184	287	46	r.v	r.v	PROPN
ejpam-7184	287	47	.	.	PROPN
ejpam-7184	287	48	from	from	ADP
ejpam-7184	287	49	u(0	u(0	PROPN
ejpam-7184	287	50	,	,	PUNCT
ejpam-7184	287	51	1	1	NUM
ejpam-7184	287	52	)	)	PUNCT
ejpam-7184	287	53	.	.	PUNCT
ejpam-7184	288	1	2.4	2.4	NUM
ejpam-7184	288	2	.	.	PUNCT
ejpam-7184	289	1	the	the	DET
ejpam-7184	289	2	negative	negative	ADJ
ejpam-7184	289	3	cumulative	cumulative	ADJ
ejpam-7184	289	4	extropy	extropy	NOUN
ejpam-7184	289	5	of	of	ADP
ejpam-7184	289	6	concomitants	concomitant	NOUN
ejpam-7184	289	7	for	for	ADP
ejpam-7184	289	8	w	w	ADV
ejpam-7184	289	9	-	-	PUNCT
ejpam-7184	289	10	generalized	generalize	VERB
ejpam-7184	289	11	order	order	NOUN
ejpam-7184	289	12	statistics	statistic	NOUN
ejpam-7184	289	13	in	in	ADP
ejpam-7184	289	14	this	this	DET
ejpam-7184	289	15	subsection	subsection	NOUN
ejpam-7184	289	16	,	,	PUNCT
ejpam-7184	289	17	we	we	PRON
ejpam-7184	289	18	will	will	AUX
ejpam-7184	289	19	derive	derive	VERB
ejpam-7184	289	20	the	the	DET
ejpam-7184	289	21	measure	measure	NOUN
ejpam-7184	289	22	of	of	ADP
ejpam-7184	289	23	ncex	ncex	NOUN
ejpam-7184	289	24	of	of	ADP
ejpam-7184	289	25	concomitants	concomitant	NOUN
ejpam-7184	289	26	for	for	ADP
ejpam-7184	289	27	w	w	NOUN
ejpam-7184	289	28	-	-	PUNCT
ejpam-7184	289	29	gos	gos	NOUN
ejpam-7184	289	30	,	,	PUNCT
ejpam-7184	289	31	y[r	y[r	PROPN
ejpam-7184	289	32	,	,	PUNCT
ejpam-7184	289	33	n	n	CCONJ
ejpam-7184	289	34	,	,	PUNCT
ejpam-7184	289	35	w	w	NOUN
ejpam-7184	289	36	,	,	PUNCT
ejpam-7184	289	37	l	l	NOUN
ejpam-7184	289	38	]	]	X
ejpam-7184	289	39	,	,	PUNCT
ejpam-7184	289	40	from	from	ADP
ejpam-7184	289	41	lai	lai	PROPN
ejpam-7184	289	42	and	and	CCONJ
ejpam-7184	289	43	xie	xie	PROPN
ejpam-7184	289	44	extensions	extension	NOUN
ejpam-7184	289	45	by	by	ADP
ejpam-7184	289	46	following	follow	VERB
ejpam-7184	289	47	theorem	theorem	VERB
ejpam-7184	289	48	.	.	PUNCT
ejpam-7184	289	49	theorem	theorem	ADJ
ejpam-7184	289	50	2.4.1	2.4.1	NUM
ejpam-7184	289	51	.	.	PUNCT
ejpam-7184	289	52	assume	assume	VERB
ejpam-7184	289	53	that	that	SCONJ
ejpam-7184	289	54	the	the	DET
ejpam-7184	289	55	r	r	NOUN
ejpam-7184	289	56	-	-	PUNCT
ejpam-7184	289	57	th	th	PRON
ejpam-7184	289	58	w	w	NOUN
ejpam-7184	289	59	-	-	PUNCT
ejpam-7184	289	60	gos	gos	NOUN
ejpam-7184	289	61	concomitant	concomitant	PROPN
ejpam-7184	289	62	y[r	y[r	PROPN
ejpam-7184	289	63	,	,	PUNCT
ejpam-7184	289	64	n	n	CCONJ
ejpam-7184	289	65	,	,	PUNCT
ejpam-7184	289	66	w	w	PROPN
ejpam-7184	289	67	,	,	PUNCT
ejpam-7184	289	68	l	l	NOUN
ejpam-7184	289	69	]	]	X
ejpam-7184	289	70	is	be	AUX
ejpam-7184	289	71	a	a	DET
ejpam-7184	289	72	continuous	continuous	ADJ
ejpam-7184	289	73	and	and	CCONJ
ejpam-7184	289	74	non	non	ADJ
ejpam-7184	289	75	-	-	ADJ
ejpam-7184	289	76	negative	negative	ADJ
ejpam-7184	289	77	r.v	r.v	PROPN
ejpam-7184	289	78	.	.	PROPN
ejpam-7184	289	79	from	from	ADP
ejpam-7184	289	80	the	the	DET
ejpam-7184	289	81	lai	lai	PROPN
ejpam-7184	289	82	and	and	CCONJ
ejpam-7184	289	83	xie	xie	PROPN
ejpam-7184	289	84	extensions	extension	NOUN
ejpam-7184	289	85	.	.	PUNCT
ejpam-7184	290	1	then	then	ADV
ejpam-7184	290	2	,	,	PUNCT
ejpam-7184	290	3	the	the	DET
ejpam-7184	290	4	ncex	ncex	ADJ
ejpam-7184	290	5	extropy	extropy	NOUN
ejpam-7184	290	6	of	of	ADP
ejpam-7184	290	7	the	the	DET
ejpam-7184	290	8	r	r	NOUN
ejpam-7184	290	9	-	-	PUNCT
ejpam-7184	290	10	th	th	PRON
ejpam-7184	290	11	w	w	NOUN
ejpam-7184	290	12	-	-	PUNCT
ejpam-7184	290	13	gos	gos	NOUN
ejpam-7184	290	14	,	,	PUNCT
ejpam-7184	290	15	based	base	VERB
ejpam-7184	290	16	on	on	ADP
ejpam-7184	290	17	the	the	DET
ejpam-7184	290	18	concomitant	concomitant	PROPN
ejpam-7184	290	19	y[r	y[r	PROPN
ejpam-7184	290	20	,	,	PUNCT
ejpam-7184	290	21	n	n	CCONJ
ejpam-7184	290	22	,	,	PUNCT
ejpam-7184	290	23	w	w	NOUN
ejpam-7184	290	24	,	,	PUNCT
ejpam-7184	290	25	l	l	NOUN
ejpam-7184	290	26	]	]	PUNCT
ejpam-7184	290	27	,	,	PUNCT
ejpam-7184	290	28	is	be	AUX
ejpam-7184	290	29	given	give	VERB
ejpam-7184	290	30	by	by	ADP
ejpam-7184	290	31	ξ∗(y	ξ∗(y	PROPN
ejpam-7184	290	32	)	)	PUNCT
ejpam-7184	291	1	=	=	SYM
ejpam-7184	291	2	ξ∗(y	ξ∗(y	PROPN
ejpam-7184	291	3	)	)	PUNCT
ejpam-7184	292	1	+	+	CCONJ
ejpam-7184	292	2	δη∗[r	δη∗[r	NOUN
ejpam-7184	292	3	,	,	PUNCT
ejpam-7184	292	4	n	n	CCONJ
ejpam-7184	292	5	,	,	PUNCT
ejpam-7184	292	6	w	w	PROPN
ejpam-7184	292	7	,	,	PUNCT
ejpam-7184	292	8	l]e((1−	l]e((1−	VERB
ejpam-7184	292	9	u)αuλ+1	u)αuλ+1	PROPN
ejpam-7184	292	10	1	1	NUM
ejpam-7184	292	11	g(g−1	g(g−1	PROPN
ejpam-7184	292	12	y	y	PROPN
ejpam-7184	292	13	(	(	PUNCT
ejpam-7184	292	14	u	u	NOUN
ejpam-7184	292	15	)	)	PUNCT
ejpam-7184	292	16	)	)	PUNCT
ejpam-7184	292	17	)	)	PUNCT
ejpam-7184	293	1	+	+	CCONJ
ejpam-7184	293	2	(	(	PUNCT
ejpam-7184	293	3	δη∗[r	δη∗[r	NOUN
ejpam-7184	293	4	,	,	PUNCT
ejpam-7184	293	5	n	n	CCONJ
ejpam-7184	293	6	,	,	PUNCT
ejpam-7184	293	7	w	w	NOUN
ejpam-7184	293	8	,	,	PUNCT
ejpam-7184	293	9	l	l	NOUN
ejpam-7184	293	10	]	]	X
ejpam-7184	293	11	)	)	PUNCT
ejpam-7184	293	12	2	2	NUM
ejpam-7184	293	13	2	2	NUM
ejpam-7184	293	14	×	×	NOUN
ejpam-7184	293	15	e((1−	e((1−	NUM
ejpam-7184	293	16	u)2αu2λ	u)2αu2λ	PROPN
ejpam-7184	293	17	1	1	NUM
ejpam-7184	293	18	g(g−1	g(g−1	X
ejpam-7184	293	19	y	y	PROPN
ejpam-7184	293	20	(	(	PUNCT
ejpam-7184	293	21	u	u	NOUN
ejpam-7184	293	22	)	)	PUNCT
ejpam-7184	293	23	)	)	PUNCT
ejpam-7184	293	24	)	)	PUNCT
ejpam-7184	293	25	.	.	PUNCT
ejpam-7184	294	1	proof	proof	NOUN
ejpam-7184	294	2	.	.	PUNCT
ejpam-7184	295	1	from	from	ADP
ejpam-7184	295	2	(	(	PUNCT
ejpam-7184	295	3	1.5	1.5	NUM
ejpam-7184	295	4	)	)	PUNCT
ejpam-7184	295	5	and	and	CCONJ
ejpam-7184	295	6	(	(	PUNCT
ejpam-7184	295	7	1.10	1.10	NUM
ejpam-7184	295	8	)	)	PUNCT
ejpam-7184	295	9	,	,	PUNCT
ejpam-7184	295	10	we	we	PRON
ejpam-7184	295	11	have	have	VERB
ejpam-7184	295	12	ξ∗(y	ξ∗(y	PROPN
ejpam-7184	295	13	)	)	PUNCT
ejpam-7184	296	1	=	=	SYM
ejpam-7184	297	1	1	1	NUM
ejpam-7184	297	2	2	2	NUM
ejpam-7184	297	3	∫	∫	NOUN
ejpam-7184	297	4	∞	∞	NOUN
ejpam-7184	297	5	0	0	NUM
ejpam-7184	297	6	(	(	PUNCT
ejpam-7184	297	7	1−g2	1−g2	NUM
ejpam-7184	297	8	[	[	X
ejpam-7184	297	9	r	r	X
ejpam-7184	297	10	,	,	PUNCT
ejpam-7184	297	11	n	n	CCONJ
ejpam-7184	297	12	,	,	PUNCT
ejpam-7184	297	13	w	w	NOUN
ejpam-7184	297	14	,	,	PUNCT
ejpam-7184	297	15	l](y))dy	l](y))dy	NOUN
ejpam-7184	297	16	=	=	SYM
ejpam-7184	297	17	1	1	NUM
ejpam-7184	297	18	2	2	NUM
ejpam-7184	297	19	∫	∫	NOUN
ejpam-7184	297	20	∞	∞	NOUN
ejpam-7184	297	21	0	0	NUM
ejpam-7184	298	1	[	[	PUNCT
ejpam-7184	298	2	(	(	PUNCT
ejpam-7184	298	3	1−g2	1−g2	NUM
ejpam-7184	298	4	y	y	PROPN
ejpam-7184	298	5	(	(	PUNCT
ejpam-7184	298	6	y	y	NOUN
ejpam-7184	298	7	)	)	PUNCT
ejpam-7184	298	8	)	)	PUNCT
ejpam-7184	298	9	+	+	CCONJ
ejpam-7184	298	10	2δη∗[r	2δη∗[r	NUM
ejpam-7184	298	11	,	,	PUNCT
ejpam-7184	298	12	n	n	CCONJ
ejpam-7184	298	13	,	,	PUNCT
ejpam-7184	298	14	w	w	PROPN
ejpam-7184	298	15	,	,	PUNCT
ejpam-7184	298	16	l]ḡy	l]ḡy	PROPN
ejpam-7184	298	17	(	(	PUNCT
ejpam-7184	298	18	y	y	NOUN
ejpam-7184	298	19	)	)	PUNCT
ejpam-7184	298	20	αgλ+1	αgλ+1	NOUN
ejpam-7184	298	21	y	y	PROPN
ejpam-7184	298	22	(	(	PUNCT
ejpam-7184	298	23	y	y	PROPN
ejpam-7184	298	24	)	)	PUNCT
ejpam-7184	298	25	+	+	CCONJ
ejpam-7184	298	26	(	(	PUNCT
ejpam-7184	298	27	δη∗[r	δη∗[r	NOUN
ejpam-7184	298	28	,	,	PUNCT
ejpam-7184	298	29	n	n	CCONJ
ejpam-7184	298	30	,	,	PUNCT
ejpam-7184	298	31	w	w	NOUN
ejpam-7184	298	32	,	,	PUNCT
ejpam-7184	298	33	l	l	NOUN
ejpam-7184	298	34	]	]	X
ejpam-7184	298	35	)	)	PUNCT
ejpam-7184	298	36	2ḡy	2ḡy	NUM
ejpam-7184	298	37	(	(	PUNCT
ejpam-7184	298	38	y	y	NOUN
ejpam-7184	298	39	)	)	PUNCT
ejpam-7184	298	40	2αg2λ	2αg2λ	NUM
ejpam-7184	298	41	y	y	PROPN
ejpam-7184	298	42	(	(	PUNCT
ejpam-7184	298	43	y	y	PROPN
ejpam-7184	298	44	)	)	PUNCT
ejpam-7184	298	45	]	]	PUNCT
ejpam-7184	298	46	dy	dy	NOUN
ejpam-7184	298	47	=	=	SYM
ejpam-7184	298	48	ξ∗(y	ξ∗(y	PROPN
ejpam-7184	298	49	)	)	PUNCT
ejpam-7184	299	1	+	+	CCONJ
ejpam-7184	299	2	δη∗[r	δη∗[r	NOUN
ejpam-7184	299	3	,	,	PUNCT
ejpam-7184	299	4	n	n	CCONJ
ejpam-7184	299	5	,	,	PUNCT
ejpam-7184	299	6	w	w	NOUN
ejpam-7184	299	7	,	,	PUNCT
ejpam-7184	299	8	l	l	NOUN
ejpam-7184	299	9	]	]	X
ejpam-7184	299	10	∫	∫	PROPN
ejpam-7184	299	11	∞	∞	NUM
ejpam-7184	299	12	0	0	NUM
ejpam-7184	300	1	(	(	PUNCT
ejpam-7184	300	2	1−	1−	NUM
ejpam-7184	300	3	u)αuλ+1	u)αuλ+1	NOUN
ejpam-7184	300	4	1	1	NUM
ejpam-7184	300	5	g(g−1	g(g−1	PROPN
ejpam-7184	300	6	y	y	PROPN
ejpam-7184	300	7	(	(	PUNCT
ejpam-7184	300	8	u	u	NOUN
ejpam-7184	300	9	)	)	PUNCT
ejpam-7184	300	10	)	)	PUNCT
ejpam-7184	300	11	du+	du+	NOUN
ejpam-7184	300	12	(	(	PUNCT
ejpam-7184	300	13	δη∗[r	δη∗[r	NOUN
ejpam-7184	300	14	,	,	PUNCT
ejpam-7184	300	15	n	n	CCONJ
ejpam-7184	300	16	,	,	PUNCT
ejpam-7184	300	17	w	w	NOUN
ejpam-7184	300	18	,	,	PUNCT
ejpam-7184	300	19	l	l	NOUN
ejpam-7184	300	20	]	]	X
ejpam-7184	300	21	)	)	PUNCT
ejpam-7184	300	22	2	2	NUM
ejpam-7184	300	23	2	2	NUM
ejpam-7184	300	24	×	×	NOUN
ejpam-7184	300	25	∫	∫	NOUN
ejpam-7184	300	26	∞	∞	NOUN
ejpam-7184	300	27	0	0	NUM
ejpam-7184	300	28	(	(	PUNCT
ejpam-7184	300	29	1−	1−	NUM
ejpam-7184	300	30	u)2αu2λ	u)2αu2λ	SYM
ejpam-7184	300	31	1	1	NUM
ejpam-7184	300	32	g(g−1	g(g−1	ADJ
ejpam-7184	300	33	y	y	PROPN
ejpam-7184	300	34	(	(	PUNCT
ejpam-7184	300	35	u	u	NOUN
ejpam-7184	300	36	)	)	PUNCT
ejpam-7184	300	37	)	)	PUNCT
ejpam-7184	300	38	du	du	PROPN
ejpam-7184	300	39	,	,	PUNCT
ejpam-7184	300	40	with	with	ADP
ejpam-7184	300	41	noting	note	VERB
ejpam-7184	300	42	that	that	SCONJ
ejpam-7184	300	43	ξ∗(y	ξ∗(y	PROPN
ejpam-7184	300	44	)	)	PUNCT
ejpam-7184	300	45	is	be	AUX
ejpam-7184	300	46	the	the	DET
ejpam-7184	300	47	ncex	ncex	NOUN
ejpam-7184	300	48	of	of	ADP
ejpam-7184	300	49	r.v	r.v	PROPN
ejpam-7184	300	50	.	.	PROPN
ejpam-7184	300	51	y	y	PROPN
ejpam-7184	300	52	,	,	PUNCT
ejpam-7184	300	53	and	and	CCONJ
ejpam-7184	300	54	u	u	NOUN
ejpam-7184	300	55	is	be	AUX
ejpam-7184	300	56	r.v	r.v	PROPN
ejpam-7184	300	57	.	.	PROPN
ejpam-7184	300	58	on	on	ADP
ejpam-7184	300	59	u(0	u(0	PROPN
ejpam-7184	300	60	,	,	PUNCT
ejpam-7184	300	61	1	1	NUM
ejpam-7184	300	62	)	)	PUNCT
ejpam-7184	300	63	.	.	PUNCT
ejpam-7184	301	1	m.	m.	PROPN
ejpam-7184	301	2	s.	s.	PROPN
ejpam-7184	301	3	mohamed	mohamed	PROPN
ejpam-7184	301	4	et	et	PROPN
ejpam-7184	301	5	al	al	PROPN
ejpam-7184	301	6	.	.	PUNCT
ejpam-7184	301	7	/	/	SYM
ejpam-7184	301	8	eur	eur	PROPN
ejpam-7184	301	9	.	.	PUNCT
ejpam-7184	302	1	j.	j.	PROPN
ejpam-7184	302	2	pure	pure	PROPN
ejpam-7184	302	3	appl	appl	PROPN
ejpam-7184	302	4	.	.	PROPN
ejpam-7184	302	5	math	math	PROPN
ejpam-7184	302	6	,	,	PUNCT
ejpam-7184	302	7	18	18	NUM
ejpam-7184	302	8	(	(	PUNCT
ejpam-7184	302	9	4	4	NUM
ejpam-7184	302	10	)	)	PUNCT
ejpam-7184	302	11	(	(	PUNCT
ejpam-7184	302	12	2025	2025	NUM
ejpam-7184	302	13	)	)	PUNCT
ejpam-7184	302	14	,	,	PUNCT
ejpam-7184	302	15	7184	7184	NUM
ejpam-7184	302	16	14	14	NUM
ejpam-7184	302	17	of	of	ADP
ejpam-7184	302	18	21	21	NUM
ejpam-7184	302	19	3	3	NUM
ejpam-7184	302	20	.	.	PUNCT
ejpam-7184	303	1	non	non	ADJ
ejpam-7184	303	2	-	-	ADJ
ejpam-7184	303	3	parametric	parametric	ADJ
ejpam-7184	303	4	estimation	estimation	NOUN
ejpam-7184	303	5	using	use	VERB
ejpam-7184	303	6	the	the	DET
ejpam-7184	303	7	empirical	empirical	ADJ
ejpam-7184	303	8	data	datum	NOUN
ejpam-7184	303	9	,	,	PUNCT
ejpam-7184	303	10	we	we	PRON
ejpam-7184	303	11	derive	derive	VERB
ejpam-7184	303	12	a	a	DET
ejpam-7184	303	13	non	non	ADJ
ejpam-7184	303	14	-	-	ADJ
ejpam-7184	303	15	parametric	parametric	ADJ
ejpam-7184	303	16	estimate	estimate	NOUN
ejpam-7184	303	17	of	of	ADP
ejpam-7184	303	18	the	the	DET
ejpam-7184	303	19	crex	crex	PROPN
ejpam-7184	303	20	of	of	ADP
ejpam-7184	303	21	wgos	wgo	NOUN
ejpam-7184	303	22	concomitants	concomitant	NOUN
ejpam-7184	303	23	under	under	ADP
ejpam-7184	303	24	the	the	DET
ejpam-7184	303	25	lai	lai	PROPN
ejpam-7184	303	26	and	and	CCONJ
ejpam-7184	303	27	xie	xie	PROPN
ejpam-7184	303	28	extensions	extension	NOUN
ejpam-7184	303	29	in	in	ADP
ejpam-7184	303	30	this	this	DET
ejpam-7184	303	31	section	section	NOUN
ejpam-7184	303	32	.	.	PUNCT
ejpam-7184	304	1	consider	consider	VERB
ejpam-7184	304	2	the	the	DET
ejpam-7184	304	3	random	random	ADJ
ejpam-7184	304	4	sample	sample	NOUN
ejpam-7184	304	5	y1	y1	NOUN
ejpam-7184	304	6	,	,	PUNCT
ejpam-7184	304	7	...	...	PUNCT
ejpam-7184	304	8	,	,	PUNCT
ejpam-7184	304	9	yn	yn	PROPN
ejpam-7184	304	10	from	from	ADP
ejpam-7184	304	11	a	a	DET
ejpam-7184	304	12	population	population	NOUN
ejpam-7184	304	13	with	with	ADP
ejpam-7184	304	14	cdf	cdf	PROPN
ejpam-7184	304	15	and	and	CCONJ
ejpam-7184	304	16	its	its	PRON
ejpam-7184	304	17	empirical	empirical	ADJ
ejpam-7184	304	18	estimator	estimator	NOUN
ejpam-7184	304	19	gn	gn	PROPN
ejpam-7184	304	20	.	.	PROPN
ejpam-7184	305	1	according	accord	VERB
ejpam-7184	305	2	to	to	ADP
ejpam-7184	305	3	(	(	PUNCT
ejpam-7184	305	4	1.4	1.4	NUM
ejpam-7184	305	5	)	)	PUNCT
ejpam-7184	305	6	and	and	CCONJ
ejpam-7184	305	7	(	(	PUNCT
ejpam-7184	305	8	1.12	1.12	NUM
ejpam-7184	305	9	)	)	PUNCT
ejpam-7184	305	10	,	,	PUNCT
ejpam-7184	305	11	the	the	DET
ejpam-7184	305	12	empirical	empirical	ADJ
ejpam-7184	305	13	crex	crex	NOUN
ejpam-7184	305	14	of	of	ADP
ejpam-7184	305	15	w	w	NOUN
ejpam-7184	305	16	-	-	PUNCT
ejpam-7184	305	17	gos	go	NOUN
ejpam-7184	305	18	concomitants	concomitant	NOUN
ejpam-7184	305	19	is	be	AUX
ejpam-7184	305	20	provided	provide	VERB
ejpam-7184	305	21	by	by	ADP
ejpam-7184	305	22	ξ[r	ξ[r	NOUN
ejpam-7184	305	23	,	,	PUNCT
ejpam-7184	305	24	n	n	CCONJ
ejpam-7184	305	25	,	,	PUNCT
ejpam-7184	305	26	w	w	NOUN
ejpam-7184	305	27	,	,	PUNCT
ejpam-7184	305	28	l](gn	l](gn	NOUN
ejpam-7184	305	29	)	)	PUNCT
ejpam-7184	305	30	=	=	SYM
ejpam-7184	305	31	−1	−1	NOUN
ejpam-7184	305	32	2	2	NUM
ejpam-7184	305	33	∫	∫	NOUN
ejpam-7184	305	34	∞	∞	NOUN
ejpam-7184	305	35	0	0	NUM
ejpam-7184	305	36	ḡ2	ḡ2	X
ejpam-7184	305	37	n(y)(1	n(y)(1	PROPN
ejpam-7184	305	38	+	+	NUM
ejpam-7184	305	39	δη∗[r	δη∗[r	NOUN
ejpam-7184	305	40	,	,	PUNCT
ejpam-7184	305	41	n	n	CCONJ
ejpam-7184	305	42	,	,	PUNCT
ejpam-7184	305	43	w	w	PROPN
ejpam-7184	305	44	,	,	PUNCT
ejpam-7184	305	45	l]g	l]g	VERB
ejpam-7184	305	46	λ	λ	PROPN
ejpam-7184	305	47	n(y)(1−gn(y	n(y)(1−gn(y	NOUN
ejpam-7184	305	48	)	)	PUNCT
ejpam-7184	305	49	)	)	PUNCT
ejpam-7184	305	50	α−1))2dy	α−1))2dy	PRON
ejpam-7184	306	1	=	=	SYM
ejpam-7184	306	2	−1	−1	NOUN
ejpam-7184	306	3	2	2	NUM
ejpam-7184	306	4	n−1∑	n−1∑	PROPN
ejpam-7184	306	5	j=1	j=1	PROPN
ejpam-7184	306	6	∫	∫	PROPN
ejpam-7184	306	7	y(j+1	y(j+1	PROPN
ejpam-7184	306	8	)	)	PUNCT
ejpam-7184	306	9	y(j	y(j	NOUN
ejpam-7184	306	10	)	)	PUNCT
ejpam-7184	306	11	ḡ2	ḡ2	X
ejpam-7184	306	12	n(y)(1	n(y)(1	PROPN
ejpam-7184	306	13	+	+	NUM
ejpam-7184	306	14	δη∗[r	δη∗[r	NOUN
ejpam-7184	306	15	,	,	PUNCT
ejpam-7184	306	16	n	n	CCONJ
ejpam-7184	306	17	,	,	PUNCT
ejpam-7184	306	18	w	w	PROPN
ejpam-7184	306	19	,	,	PUNCT
ejpam-7184	306	20	l]g	l]g	VERB
ejpam-7184	306	21	λ	λ	PROPN
ejpam-7184	306	22	n(y)(1−gn(y	n(y)(1−gn(y	NOUN
ejpam-7184	306	23	)	)	PUNCT
ejpam-7184	306	24	)	)	PUNCT
ejpam-7184	307	1	α−1))2dy	α−1))2dy	ADP
ejpam-7184	307	2	,	,	PUNCT
ejpam-7184	307	3	(	(	PUNCT
ejpam-7184	307	4	3.1	3.1	NUM
ejpam-7184	307	5	)	)	PUNCT
ejpam-7184	307	6	where	where	SCONJ
ejpam-7184	307	7	ḡn(y	ḡn(y	NOUN
ejpam-7184	307	8	)	)	PUNCT
ejpam-7184	307	9	=	=	SYM
ejpam-7184	307	10	1−gn(y	1−gn(y	NUM
ejpam-7184	307	11	)	)	PUNCT
ejpam-7184	307	12	,	,	PUNCT
ejpam-7184	307	13	and	and	CCONJ
ejpam-7184	307	14	the	the	DET
ejpam-7184	307	15	corresponding	correspond	VERB
ejpam-7184	307	16	os	os	NOUN
ejpam-7184	307	17	of	of	ADP
ejpam-7184	307	18	the	the	DET
ejpam-7184	307	19	random	random	ADJ
ejpam-7184	307	20	sample	sample	NOUN
ejpam-7184	307	21	is	be	AUX
ejpam-7184	307	22	y(1	y(1	PROPN
ejpam-7184	307	23	)	)	PUNCT
ejpam-7184	307	24	≤	≤	NOUN
ejpam-7184	307	25	y(2	y(2	NOUN
ejpam-7184	307	26	)	)	PUNCT
ejpam-7184	307	27	≤	≤	NOUN
ejpam-7184	307	28	...	...	PUNCT
ejpam-7184	307	29	≤	≤	NUM
ejpam-7184	307	30	y(n	y(n	PROPN
ejpam-7184	307	31	)	)	PUNCT
ejpam-7184	307	32	,	,	PUNCT
ejpam-7184	307	33	whereas	whereas	SCONJ
ejpam-7184	307	34	gn(y	gn(y	NUM
ejpam-7184	307	35	)	)	PUNCT
ejpam-7184	307	36	is	be	AUX
ejpam-7184	307	37	the	the	DET
ejpam-7184	307	38	empirical	empirical	ADJ
ejpam-7184	307	39	cdf	cdf	PROPN
ejpam-7184	307	40	.	.	PUNCT
ejpam-7184	307	41	.	.	PUNCT
ejpam-7184	308	1	we	we	PRON
ejpam-7184	308	2	take	take	VERB
ejpam-7184	308	3	into	into	ADP
ejpam-7184	308	4	consideration	consideration	NOUN
ejpam-7184	308	5	the	the	DET
ejpam-7184	308	6	first	first	ADJ
ejpam-7184	308	7	empirical	empirical	ADJ
ejpam-7184	308	8	estimator	estimator	NOUN
ejpam-7184	308	9	ξ1[r	ξ1[r	PROPN
ejpam-7184	308	10	,	,	PUNCT
ejpam-7184	308	11	n	n	CCONJ
ejpam-7184	308	12	,	,	PUNCT
ejpam-7184	308	13	w	w	NOUN
ejpam-7184	308	14	,	,	PUNCT
ejpam-7184	308	15	l](gn	l](gn	NOUN
ejpam-7184	308	16	)	)	PUNCT
ejpam-7184	308	17	in	in	ADP
ejpam-7184	308	18	order	order	NOUN
ejpam-7184	308	19	to	to	PART
ejpam-7184	308	20	estimate	estimate	VERB
ejpam-7184	308	21	ξ[r	ξ[r	NOUN
ejpam-7184	308	22	,	,	PUNCT
ejpam-7184	308	23	n	n	CCONJ
ejpam-7184	308	24	,	,	PUNCT
ejpam-7184	308	25	w	w	NOUN
ejpam-7184	308	26	,	,	PUNCT
ejpam-7184	308	27	l	l	NOUN
ejpam-7184	308	28	]	]	PUNCT
ejpam-7184	308	29	as	as	SCONJ
ejpam-7184	308	30	follows	follow	VERB
ejpam-7184	308	31	ξ1[r	ξ1[r	PROPN
ejpam-7184	308	32	,	,	PUNCT
ejpam-7184	308	33	n	n	CCONJ
ejpam-7184	308	34	,	,	PUNCT
ejpam-7184	308	35	w	w	NOUN
ejpam-7184	308	36	,	,	PUNCT
ejpam-7184	308	37	l](gn	l](gn	NOUN
ejpam-7184	308	38	)	)	PUNCT
ejpam-7184	308	39	=	=	SYM
ejpam-7184	308	40	−1	−1	NOUN
ejpam-7184	308	41	2	2	NUM
ejpam-7184	308	42	n−1∑	n−1∑	NUM
ejpam-7184	308	43	j=1	j=1	NOUN
ejpam-7184	308	44	wj+1	wj+1	ADV
ejpam-7184	308	45	(	(	PUNCT
ejpam-7184	308	46	1−	1−	NUM
ejpam-7184	308	47	j	j	PROPN
ejpam-7184	308	48	n	n	CCONJ
ejpam-7184	308	49	)	)	PUNCT
ejpam-7184	308	50	2	2	NUM
ejpam-7184	308	51	(	(	PUNCT
ejpam-7184	308	52	1	1	NUM
ejpam-7184	308	53	+	+	NUM
ejpam-7184	308	54	δη∗[r	δη∗[r	NOUN
ejpam-7184	308	55	,	,	PUNCT
ejpam-7184	308	56	n	n	CCONJ
ejpam-7184	308	57	,	,	PUNCT
ejpam-7184	308	58	w	w	NOUN
ejpam-7184	308	59	,	,	PUNCT
ejpam-7184	308	60	l	l	NOUN
ejpam-7184	308	61	]	]	X
ejpam-7184	308	62	(	(	PUNCT
ejpam-7184	308	63	j	j	PROPN
ejpam-7184	308	64	n	n	CCONJ
ejpam-7184	308	65	)	)	PUNCT
ejpam-7184	308	66	λ(1−	λ(1−	PROPN
ejpam-7184	308	67	j	j	PROPN
ejpam-7184	308	68	n	n	CCONJ
ejpam-7184	308	69	)	)	PUNCT
ejpam-7184	308	70	α−1	α−1	PROPN
ejpam-7184	308	71	)	)	PUNCT
ejpam-7184	308	72	2	2	NUM
ejpam-7184	308	73	,	,	PUNCT
ejpam-7184	308	74	(	(	PUNCT
ejpam-7184	308	75	3.2	3.2	NUM
ejpam-7184	308	76	)	)	PUNCT
ejpam-7184	308	77	where	where	SCONJ
ejpam-7184	308	78	gn(y	gn(y	VERB
ejpam-7184	308	79	)	)	PUNCT
ejpam-7184	308	80	=	=	SYM
ejpam-7184	309	1	j	j	PROPN
ejpam-7184	309	2	n	n	PROPN
ejpam-7184	309	3	,	,	PUNCT
ejpam-7184	309	4	j	j	PROPN
ejpam-7184	309	5	=	=	SYM
ejpam-7184	309	6	1	1	NUM
ejpam-7184	309	7	,	,	PUNCT
ejpam-7184	309	8	2	2	NUM
ejpam-7184	309	9	,	,	PUNCT
ejpam-7184	309	10	...	...	PUNCT
ejpam-7184	309	11	,	,	PUNCT
ejpam-7184	309	12	n	n	CCONJ
ejpam-7184	309	13	−	−	PROPN
ejpam-7184	309	14	1	1	NUM
ejpam-7184	309	15	,	,	PUNCT
ejpam-7184	309	16	wj+1	wj+1	PROPN
ejpam-7184	309	17	=	=	SYM
ejpam-7184	309	18	y(j+1	y(j+1	PROPN
ejpam-7184	309	19	)	)	PUNCT
ejpam-7184	309	20	−	−	PROPN
ejpam-7184	309	21	y(j	y(j	NOUN
ejpam-7184	309	22	)	)	PUNCT
ejpam-7184	309	23	,	,	PUNCT
ejpam-7184	309	24	w1	w1	NOUN
ejpam-7184	309	25	=	=	SYM
ejpam-7184	309	26	y(1	y(1	PROPN
ejpam-7184	309	27	)	)	PUNCT
ejpam-7184	309	28	.	.	PUNCT
ejpam-7184	310	1	additionally	additionally	ADV
ejpam-7184	310	2	,	,	PUNCT
ejpam-7184	310	3	the	the	DET
ejpam-7184	310	4	kernel	kernel	NOUN
ejpam-7184	310	5	-	-	PUNCT
ejpam-7184	310	6	smoothed	smooth	VERB
ejpam-7184	310	7	estimator	estimator	NOUN
ejpam-7184	310	8	,	,	PUNCT
ejpam-7184	310	9	or	or	CCONJ
ejpam-7184	310	10	second	second	ADJ
ejpam-7184	310	11	empirical	empirical	ADJ
ejpam-7184	310	12	estimator	estimator	NOUN
ejpam-7184	310	13	,	,	PUNCT
ejpam-7184	310	14	ξ2[r	ξ2[r	NOUN
ejpam-7184	310	15	,	,	PUNCT
ejpam-7184	310	16	n	n	CCONJ
ejpam-7184	310	17	,	,	PUNCT
ejpam-7184	310	18	w	w	NOUN
ejpam-7184	310	19	,	,	PUNCT
ejpam-7184	310	20	l](gn	l](gn	NOUN
ejpam-7184	310	21	)	)	PUNCT
ejpam-7184	310	22	,	,	PUNCT
ejpam-7184	310	23	is	be	AUX
ejpam-7184	310	24	provided	provide	VERB
ejpam-7184	310	25	by	by	ADP
ejpam-7184	310	26	ξ2[r	ξ2[r	NOUN
ejpam-7184	310	27	,	,	PUNCT
ejpam-7184	310	28	n	n	CCONJ
ejpam-7184	310	29	,	,	PUNCT
ejpam-7184	310	30	w	w	NOUN
ejpam-7184	310	31	,	,	PUNCT
ejpam-7184	310	32	l](gn	l](gn	NOUN
ejpam-7184	310	33	)	)	PUNCT
ejpam-7184	310	34	=	=	SYM
ejpam-7184	310	35	−1	−1	NOUN
ejpam-7184	310	36	2	2	NUM
ejpam-7184	310	37	n−1∑	n−1∑	NUM
ejpam-7184	310	38	j=1	j=1	NOUN
ejpam-7184	310	39	wj+1	wj+1	X
ejpam-7184	310	40	(	(	PUNCT
ejpam-7184	310	41	1−gn(yj	1−gn(yj	NUM
ejpam-7184	310	42	)	)	PUNCT
ejpam-7184	310	43	)	)	PUNCT
ejpam-7184	310	44	2	2	NUM
ejpam-7184	310	45	(	(	PUNCT
ejpam-7184	310	46	1	1	NUM
ejpam-7184	310	47	+	+	NUM
ejpam-7184	310	48	δη∗[r	δη∗[r	NOUN
ejpam-7184	310	49	,	,	PUNCT
ejpam-7184	310	50	n	n	CCONJ
ejpam-7184	310	51	,	,	PUNCT
ejpam-7184	310	52	w	w	NOUN
ejpam-7184	310	53	,	,	PUNCT
ejpam-7184	310	54	l](gn(yj	l](gn(yj	NOUN
ejpam-7184	310	55	)	)	PUNCT
ejpam-7184	310	56	)	)	PUNCT
ejpam-7184	310	57	λ(1−gn(yj	λ(1−gn(yj	NUM
ejpam-7184	310	58	)	)	PUNCT
ejpam-7184	310	59	)	)	PUNCT
ejpam-7184	311	1	α−1	α−1	PROPN
ejpam-7184	311	2	)	)	PUNCT
ejpam-7184	311	3	2	2	NUM
ejpam-7184	311	4	,	,	PUNCT
ejpam-7184	311	5	(	(	PUNCT
ejpam-7184	311	6	3.3	3.3	NUM
ejpam-7184	311	7	)	)	PUNCT
ejpam-7184	311	8	where	where	SCONJ
ejpam-7184	311	9	gn(yj	gn(yj	ADV
ejpam-7184	311	10	)	)	PUNCT
ejpam-7184	311	11	=	=	SYM
ejpam-7184	312	1	1	1	NUM
ejpam-7184	312	2	n	n	NUM
ejpam-7184	312	3	n∑	n∑	NOUN
ejpam-7184	312	4	i=1	i=1	PROPN
ejpam-7184	313	1	b	b	PROPN
ejpam-7184	313	2	(	(	PUNCT
ejpam-7184	313	3	y	y	PROPN
ejpam-7184	313	4	−	−	PROPN
ejpam-7184	313	5	yi	yi	PROPN
ejpam-7184	313	6	h	h	PROPN
ejpam-7184	313	7	)	)	PUNCT
ejpam-7184	313	8	,	,	PUNCT
ejpam-7184	313	9	b(y	b(y	PROPN
ejpam-7184	313	10	)	)	PUNCT
ejpam-7184	313	11	=	=	SYM
ejpam-7184	314	1	∫	∫	PROPN
ejpam-7184	314	2	y	y	PROPN
ejpam-7184	314	3	−∞	−∞	ADP
ejpam-7184	314	4	s(t)dt	s(t)dt	PROPN
ejpam-7184	314	5	and	and	CCONJ
ejpam-7184	314	6	h	h	NOUN
ejpam-7184	314	7	are	be	AUX
ejpam-7184	314	8	bandwidth	bandwidth	ADJ
ejpam-7184	314	9	parameters	parameter	NOUN
ejpam-7184	314	10	;	;	PUNCT
ejpam-7184	314	11	refer	refer	VERB
ejpam-7184	314	12	to	to	ADP
ejpam-7184	314	13	nadaraya	nadaraya	NOUN
ejpam-7184	314	14	[	[	X
ejpam-7184	314	15	24	24	NUM
ejpam-7184	314	16	]	]	PUNCT
ejpam-7184	314	17	.	.	PUNCT
ejpam-7184	315	1	by	by	ADP
ejpam-7184	315	2	using	use	VERB
ejpam-7184	315	3	100	100	NUM
ejpam-7184	315	4	samples	sample	NOUN
ejpam-7184	315	5	of	of	ADP
ejpam-7184	315	6	size	size	NOUN
ejpam-7184	315	7	n=25	n=25	PROPN
ejpam-7184	315	8	,	,	PUNCT
ejpam-7184	315	9	are	be	AUX
ejpam-7184	315	10	generated	generate	VERB
ejpam-7184	315	11	with	with	ADP
ejpam-7184	315	12	the	the	DET
ejpam-7184	315	13	uniform	uniform	ADJ
ejpam-7184	315	14	distribution	distribution	NOUN
ejpam-7184	315	15	u(0	u(0	PROPN
ejpam-7184	315	16	,	,	PUNCT
ejpam-7184	315	17	1	1	NUM
ejpam-7184	315	18	)	)	PUNCT
ejpam-7184	315	19	.	.	PUNCT
ejpam-7184	316	1	these	these	DET
ejpam-7184	316	2	data	datum	NOUN
ejpam-7184	316	3	satisfy	satisfy	VERB
ejpam-7184	316	4	the	the	DET
ejpam-7184	316	5	asymptomatic	asymptomatic	ADJ
ejpam-7184	316	6	normality	normality	NOUN
ejpam-7184	316	7	of	of	ADP
ejpam-7184	316	8	the	the	DET
ejpam-7184	316	9	empirical	empirical	ADJ
ejpam-7184	316	10	estimator	estimator	NOUN
ejpam-7184	316	11	’s	’s	PART
ejpam-7184	316	12	assumption	assumption	NOUN
ejpam-7184	316	13	in	in	ADP
ejpam-7184	316	14	(	(	PUNCT
ejpam-7184	316	15	3.2	3.2	NUM
ejpam-7184	316	16	)	)	PUNCT
ejpam-7184	316	17	and	and	CCONJ
ejpam-7184	316	18	(	(	PUNCT
ejpam-7184	316	19	3.3	3.3	NUM
ejpam-7184	316	20	)	)	PUNCT
ejpam-7184	316	21	.	.	PUNCT
ejpam-7184	317	1	the	the	DET
ejpam-7184	317	2	histogram	histogram	NOUN
ejpam-7184	317	3	shown	show	VERB
ejpam-7184	317	4	in	in	ADP
ejpam-7184	317	5	figure	figure	NOUN
ejpam-7184	317	6	3	3	NUM
ejpam-7184	317	7	is	be	AUX
ejpam-7184	317	8	presented	present	VERB
ejpam-7184	317	9	.	.	PUNCT
ejpam-7184	318	1	m.	m.	PROPN
ejpam-7184	318	2	s.	s.	PROPN
ejpam-7184	318	3	mohamed	mohamed	PROPN
ejpam-7184	318	4	et	et	PROPN
ejpam-7184	318	5	al	al	PROPN
ejpam-7184	318	6	.	.	PUNCT
ejpam-7184	318	7	/	/	SYM
ejpam-7184	318	8	eur	eur	PROPN
ejpam-7184	318	9	.	.	PUNCT
ejpam-7184	319	1	j.	j.	PROPN
ejpam-7184	319	2	pure	pure	PROPN
ejpam-7184	319	3	appl	appl	PROPN
ejpam-7184	319	4	.	.	PROPN
ejpam-7184	319	5	math	math	PROPN
ejpam-7184	319	6	,	,	PUNCT
ejpam-7184	319	7	18	18	NUM
ejpam-7184	319	8	(	(	PUNCT
ejpam-7184	319	9	4	4	NUM
ejpam-7184	319	10	)	)	PUNCT
ejpam-7184	319	11	(	(	PUNCT
ejpam-7184	319	12	2025	2025	NUM
ejpam-7184	319	13	)	)	PUNCT
ejpam-7184	319	14	,	,	PUNCT
ejpam-7184	319	15	7184	7184	NUM
ejpam-7184	319	16	15	15	NUM
ejpam-7184	319	17	of	of	ADP
ejpam-7184	319	18	21	21	NUM
ejpam-7184	319	19	(	(	PUNCT
ejpam-7184	319	20	a	a	NOUN
ejpam-7184	319	21	)	)	PUNCT
ejpam-7184	319	22	first	first	ADJ
ejpam-7184	319	23	estimator	estimator	NOUN
ejpam-7184	319	24	sample	sample	NOUN
ejpam-7184	319	25	values	value	NOUN
ejpam-7184	320	1	d	d	X
ejpam-7184	320	2	en	en	INTJ
ejpam-7184	320	3	si	si	PROPN
ejpam-7184	320	4	ty	ty	INTJ
ejpam-7184	320	5	−3	−3	PROPN
ejpam-7184	320	6	−2	−2	PROPN
ejpam-7184	320	7	−1	−1	NOUN
ejpam-7184	320	8	0	0	NUM
ejpam-7184	320	9	1	1	NUM
ejpam-7184	320	10	2	2	NUM
ejpam-7184	320	11	0	0	NUM
ejpam-7184	320	12	.	.	NOUN
ejpam-7184	320	13	0	0	NUM
ejpam-7184	321	1	0	0	NUM
ejpam-7184	321	2	.	.	NOUN
ejpam-7184	322	1	1	1	NUM
ejpam-7184	322	2	0	0	NUM
ejpam-7184	322	3	.	.	NOUN
ejpam-7184	322	4	2	2	NUM
ejpam-7184	322	5	0	0	NUM
ejpam-7184	322	6	.	.	NOUN
ejpam-7184	323	1	3	3	NUM
ejpam-7184	323	2	0	0	NUM
ejpam-7184	323	3	.	.	NOUN
ejpam-7184	323	4	4	4	NUM
ejpam-7184	323	5	standard	standard	ADJ
ejpam-7184	323	6	normal	normal	ADJ
ejpam-7184	323	7	distribution	distribution	NOUN
ejpam-7184	323	8	(	(	PUNCT
ejpam-7184	323	9	b	b	NOUN
ejpam-7184	323	10	)	)	PUNCT
ejpam-7184	323	11	second	second	ADJ
ejpam-7184	323	12	estimator	estimator	NOUN
ejpam-7184	323	13	sample	sample	NOUN
ejpam-7184	323	14	values	value	NOUN
ejpam-7184	324	1	d	d	AUX
ejpam-7184	324	2	en	en	INTJ
ejpam-7184	324	3	si	si	PROPN
ejpam-7184	324	4	ty	ty	ADJ
ejpam-7184	324	5	−2	−2	NOUN
ejpam-7184	324	6	−1	−1	NOUN
ejpam-7184	324	7	0	0	NUM
ejpam-7184	324	8	1	1	NUM
ejpam-7184	324	9	2	2	NUM
ejpam-7184	324	10	3	3	NUM
ejpam-7184	324	11	0	0	NUM
ejpam-7184	324	12	.	.	NOUN
ejpam-7184	324	13	0	0	NUM
ejpam-7184	324	14	0	0	NUM
ejpam-7184	324	15	.	.	NOUN
ejpam-7184	324	16	1	1	NUM
ejpam-7184	324	17	0	0	NUM
ejpam-7184	324	18	.	.	NOUN
ejpam-7184	324	19	2	2	NUM
ejpam-7184	324	20	0	0	NUM
ejpam-7184	324	21	.	.	NOUN
ejpam-7184	324	22	3	3	NUM
ejpam-7184	324	23	0	0	NUM
ejpam-7184	324	24	.	.	NOUN
ejpam-7184	324	25	4	4	NUM
ejpam-7184	324	26	standard	standard	ADJ
ejpam-7184	324	27	normal	normal	ADJ
ejpam-7184	324	28	distribution	distribution	NOUN
ejpam-7184	324	29	figure	figure	NOUN
ejpam-7184	324	30	3	3	NUM
ejpam-7184	324	31	:	:	PUNCT
ejpam-7184	324	32	histogram	histogram	NOUN
ejpam-7184	324	33	of	of	ADP
ejpam-7184	324	34	empirical	empirical	ADJ
ejpam-7184	324	35	estimators	estimator	NOUN
ejpam-7184	324	36	for	for	ADP
ejpam-7184	324	37	sample	sample	NOUN
ejpam-7184	324	38	values	value	NOUN
ejpam-7184	324	39	under	under	ADP
ejpam-7184	324	40	lai	lai	PROPN
ejpam-7184	324	41	and	and	CCONJ
ejpam-7184	324	42	xie	xie	PROPN
ejpam-7184	324	43	extensions	extension	NOUN
ejpam-7184	324	44	at	at	ADP
ejpam-7184	324	45	α	α	NOUN
ejpam-7184	324	46	=	=	SYM
ejpam-7184	324	47	3	3	NUM
ejpam-7184	324	48	,	,	PUNCT
ejpam-7184	324	49	λ	λ	NOUN
ejpam-7184	324	50	=	=	SYM
ejpam-7184	324	51	4	4	NUM
ejpam-7184	324	52	,	,	PUNCT
ejpam-7184	324	53	δ	δ	X
ejpam-7184	324	54	=	=	SYM
ejpam-7184	324	55	0.6	0.6	NUM
ejpam-7184	324	56	with	with	ADP
ejpam-7184	324	57	standard	standard	ADJ
ejpam-7184	324	58	normal	normal	ADJ
ejpam-7184	324	59	distribution	distribution	NOUN
ejpam-7184	324	60	.	.	PUNCT
ejpam-7184	325	1	in	in	ADP
ejpam-7184	325	2	the	the	DET
ejpam-7184	325	3	following	following	NOUN
ejpam-7184	325	4	,	,	PUNCT
ejpam-7184	325	5	we	we	PRON
ejpam-7184	325	6	use	use	VERB
ejpam-7184	325	7	the	the	DET
ejpam-7184	325	8	suggested	suggest	VERB
ejpam-7184	325	9	techniques	technique	NOUN
ejpam-7184	325	10	in	in	ADP
ejpam-7184	325	11	the	the	DET
ejpam-7184	325	12	examples	example	NOUN
ejpam-7184	325	13	to	to	PART
ejpam-7184	325	14	describe	describe	VERB
ejpam-7184	325	15	how	how	SCONJ
ejpam-7184	325	16	the	the	DET
ejpam-7184	325	17	empirical	empirical	ADJ
ejpam-7184	325	18	and	and	CCONJ
ejpam-7184	325	19	kernel	kernel	PROPN
ejpam-7184	325	20	estimators	estimator	NOUN
ejpam-7184	325	21	work	work	VERB
ejpam-7184	325	22	.	.	PUNCT
ejpam-7184	326	1	example	example	NOUN
ejpam-7184	327	1	3.0.1	3.0.1	NUM
ejpam-7184	327	2	.	.	PUNCT
ejpam-7184	327	3	consider	consider	VERB
ejpam-7184	327	4	the	the	DET
ejpam-7184	327	5	random	random	ADJ
ejpam-7184	327	6	sample	sample	NOUN
ejpam-7184	327	7	x1	x1	PROPN
ejpam-7184	327	8	,	,	PUNCT
ejpam-7184	327	9	...	...	PUNCT
ejpam-7184	327	10	,	,	PUNCT
ejpam-7184	327	11	xn	xn	PROPN
ejpam-7184	327	12	with	with	ADP
ejpam-7184	327	13	u(0	u(0	PROPN
ejpam-7184	327	14	,	,	PUNCT
ejpam-7184	327	15	1	1	NUM
ejpam-7184	327	16	)	)	PUNCT
ejpam-7184	327	17	.	.	PUNCT
ejpam-7184	328	1	pyke	pyke	NOUN
ejpam-7184	328	2	states	state	VERB
ejpam-7184	328	3	in	in	ADP
ejpam-7184	328	4	[	[	X
ejpam-7184	328	5	25	25	NUM
ejpam-7184	328	6	]	]	PUNCT
ejpam-7184	328	7	that	that	SCONJ
ejpam-7184	328	8	the	the	DET
ejpam-7184	328	9	sample	sample	NOUN
ejpam-7184	328	10	spacing	space	VERB
ejpam-7184	328	11	wj+1	wj+1	PROPN
ejpam-7184	328	12	is	be	AUX
ejpam-7184	328	13	in	in	ADP
ejpam-7184	328	14	accordance	accordance	NOUN
ejpam-7184	328	15	with	with	ADP
ejpam-7184	328	16	the	the	DET
ejpam-7184	328	17	beta	beta	ADJ
ejpam-7184	328	18	distribution	distribution	NOUN
ejpam-7184	328	19	beta(1	beta(1	NOUN
ejpam-7184	328	20	,	,	PUNCT
ejpam-7184	328	21	n	n	CCONJ
ejpam-7184	328	22	)	)	PUNCT
ejpam-7184	328	23	.	.	PUNCT
ejpam-7184	329	1	thus	thus	ADV
ejpam-7184	329	2	,	,	PUNCT
ejpam-7184	329	3	derived	derive	VERB
ejpam-7184	329	4	from	from	ADP
ejpam-7184	329	5	(	(	PUNCT
ejpam-7184	329	6	3.2	3.2	NUM
ejpam-7184	329	7	)	)	PUNCT
ejpam-7184	329	8	and	and	CCONJ
ejpam-7184	329	9	(	(	PUNCT
ejpam-7184	329	10	3.3	3.3	NUM
ejpam-7184	329	11	)	)	PUNCT
ejpam-7184	329	12	,	,	PUNCT
ejpam-7184	329	13	we	we	PRON
ejpam-7184	329	14	obtain	obtain	VERB
ejpam-7184	329	15	e(ξ1[r	e(ξ1[r	NOUN
ejpam-7184	329	16	,	,	PUNCT
ejpam-7184	329	17	n	n	CCONJ
ejpam-7184	329	18	,	,	PUNCT
ejpam-7184	329	19	w	w	NOUN
ejpam-7184	329	20	,	,	PUNCT
ejpam-7184	329	21	l](gn	l](gn	NOUN
ejpam-7184	329	22	)	)	PUNCT
ejpam-7184	329	23	)	)	PUNCT
ejpam-7184	330	1	=	=	PUNCT
ejpam-7184	331	1	−1	−1	NOUN
ejpam-7184	331	2	2(1	2(1	NUM
ejpam-7184	331	3	+	+	CCONJ
ejpam-7184	331	4	n	n	CCONJ
ejpam-7184	331	5	)	)	PUNCT
ejpam-7184	331	6	n−1∑	n−1∑	PROPN
ejpam-7184	331	7	j=1	j=1	NOUN
ejpam-7184	331	8	(	(	PUNCT
ejpam-7184	331	9	1−	1−	NUM
ejpam-7184	331	10	j	j	PROPN
ejpam-7184	331	11	n	n	CCONJ
ejpam-7184	331	12	)	)	PUNCT
ejpam-7184	331	13	2	2	NUM
ejpam-7184	331	14	(	(	PUNCT
ejpam-7184	331	15	1	1	NUM
ejpam-7184	331	16	+	+	NUM
ejpam-7184	331	17	δη∗[r	δη∗[r	NOUN
ejpam-7184	331	18	,	,	PUNCT
ejpam-7184	331	19	n	n	CCONJ
ejpam-7184	331	20	,	,	PUNCT
ejpam-7184	331	21	w	w	NOUN
ejpam-7184	331	22	,	,	PUNCT
ejpam-7184	331	23	l	l	NOUN
ejpam-7184	331	24	]	]	X
ejpam-7184	331	25	(	(	PUNCT
ejpam-7184	331	26	j	j	PROPN
ejpam-7184	331	27	n	n	CCONJ
ejpam-7184	331	28	)	)	PUNCT
ejpam-7184	331	29	λ(1−	λ(1−	PROPN
ejpam-7184	331	30	j	j	PROPN
ejpam-7184	331	31	n	n	CCONJ
ejpam-7184	331	32	)	)	PUNCT
ejpam-7184	331	33	α−1	α−1	PROPN
ejpam-7184	331	34	)	)	PUNCT
ejpam-7184	331	35	2	2	NUM
ejpam-7184	331	36	,	,	PUNCT
ejpam-7184	331	37	v	v	NOUN
ejpam-7184	331	38	ar(ξ1[r	ar(ξ1[r	NOUN
ejpam-7184	331	39	,	,	PUNCT
ejpam-7184	331	40	n	n	CCONJ
ejpam-7184	331	41	,	,	PUNCT
ejpam-7184	331	42	w	w	NOUN
ejpam-7184	331	43	,	,	PUNCT
ejpam-7184	331	44	l](gn	l](gn	NOUN
ejpam-7184	331	45	)	)	PUNCT
ejpam-7184	331	46	)	)	PUNCT
ejpam-7184	332	1	=	=	SYM
ejpam-7184	333	1	n	n	PRON
ejpam-7184	333	2	4(2	4(2	NUM
ejpam-7184	334	1	+	+	CCONJ
ejpam-7184	334	2	n)(1	n)(1	X
ejpam-7184	334	3	+	+	CCONJ
ejpam-7184	334	4	n)2	n)2	PROPN
ejpam-7184	334	5	n−1∑	n−1∑	PROPN
ejpam-7184	334	6	j=1	j=1	NOUN
ejpam-7184	334	7	(	(	PUNCT
ejpam-7184	334	8	1−	1−	NUM
ejpam-7184	334	9	j	j	PROPN
ejpam-7184	334	10	n	n	CCONJ
ejpam-7184	334	11	)	)	PUNCT
ejpam-7184	334	12	4	4	NUM
ejpam-7184	334	13	(	(	PUNCT
ejpam-7184	334	14	1	1	NUM
ejpam-7184	334	15	+	+	NUM
ejpam-7184	334	16	δη∗[r	δη∗[r	NOUN
ejpam-7184	334	17	,	,	PUNCT
ejpam-7184	334	18	n	n	CCONJ
ejpam-7184	334	19	,	,	PUNCT
ejpam-7184	334	20	w	w	NOUN
ejpam-7184	334	21	,	,	PUNCT
ejpam-7184	334	22	l	l	NOUN
ejpam-7184	334	23	]	]	X
ejpam-7184	334	24	(	(	PUNCT
ejpam-7184	334	25	j	j	PROPN
ejpam-7184	334	26	n	n	CCONJ
ejpam-7184	334	27	)	)	PUNCT
ejpam-7184	334	28	λ(1−	λ(1−	PROPN
ejpam-7184	334	29	j	j	PROPN
ejpam-7184	334	30	n	n	CCONJ
ejpam-7184	334	31	)	)	PUNCT
ejpam-7184	334	32	α−1	α−1	PROPN
ejpam-7184	334	33	)	)	PUNCT
ejpam-7184	334	34	4	4	NUM
ejpam-7184	334	35	,	,	PUNCT
ejpam-7184	334	36	e(ξ2[r	e(ξ2[r	X
ejpam-7184	334	37	,	,	PUNCT
ejpam-7184	334	38	n	n	CCONJ
ejpam-7184	334	39	,	,	PUNCT
ejpam-7184	334	40	w	w	NOUN
ejpam-7184	334	41	,	,	PUNCT
ejpam-7184	334	42	l](gn	l](gn	NOUN
ejpam-7184	334	43	)	)	PUNCT
ejpam-7184	334	44	)	)	PUNCT
ejpam-7184	335	1	=	=	PUNCT
ejpam-7184	336	1	−1	−1	NOUN
ejpam-7184	336	2	2(1	2(1	NUM
ejpam-7184	336	3	+	+	CCONJ
ejpam-7184	336	4	n	n	CCONJ
ejpam-7184	336	5	)	)	PUNCT
ejpam-7184	336	6	n−1∑	n−1∑	PROPN
ejpam-7184	336	7	j=1	j=1	NOUN
ejpam-7184	336	8	(	(	PUNCT
ejpam-7184	336	9	1−gn(yj	1−gn(yj	NUM
ejpam-7184	336	10	)	)	PUNCT
ejpam-7184	336	11	)	)	PUNCT
ejpam-7184	336	12	2	2	NUM
ejpam-7184	336	13	(	(	PUNCT
ejpam-7184	336	14	1	1	NUM
ejpam-7184	336	15	+	+	NUM
ejpam-7184	336	16	δη∗[r	δη∗[r	NOUN
ejpam-7184	336	17	,	,	PUNCT
ejpam-7184	336	18	n	n	CCONJ
ejpam-7184	336	19	,	,	PUNCT
ejpam-7184	336	20	w	w	NOUN
ejpam-7184	336	21	,	,	PUNCT
ejpam-7184	336	22	l](gn(yj	l](gn(yj	NOUN
ejpam-7184	336	23	)	)	PUNCT
ejpam-7184	336	24	)	)	PUNCT
ejpam-7184	336	25	λ(1−gn(yj	λ(1−gn(yj	NUM
ejpam-7184	336	26	)	)	PUNCT
ejpam-7184	336	27	)	)	PUNCT
ejpam-7184	337	1	α−1	α−1	PROPN
ejpam-7184	337	2	)	)	PUNCT
ejpam-7184	337	3	2	2	NUM
ejpam-7184	337	4	,	,	PUNCT
ejpam-7184	337	5	v	v	NOUN
ejpam-7184	337	6	ar(ξ2[r	ar(ξ2[r	ADJ
ejpam-7184	337	7	,	,	PUNCT
ejpam-7184	337	8	n	n	CCONJ
ejpam-7184	337	9	,	,	PUNCT
ejpam-7184	337	10	w	w	NOUN
ejpam-7184	337	11	,	,	PUNCT
ejpam-7184	337	12	l](gn	l](gn	NOUN
ejpam-7184	337	13	)	)	PUNCT
ejpam-7184	337	14	)	)	PUNCT
ejpam-7184	338	1	=	=	SYM
ejpam-7184	339	1	n	n	PRON
ejpam-7184	339	2	4(2	4(2	NUM
ejpam-7184	340	1	+	+	CCONJ
ejpam-7184	340	2	n)(1	n)(1	X
ejpam-7184	340	3	+	+	CCONJ
ejpam-7184	340	4	n)2	n)2	PROPN
ejpam-7184	340	5	n−1∑	n−1∑	PROPN
ejpam-7184	340	6	j=1	j=1	NOUN
ejpam-7184	340	7	(	(	PUNCT
ejpam-7184	340	8	1−gn(yj	1−gn(yj	NUM
ejpam-7184	340	9	)	)	PUNCT
ejpam-7184	340	10	)	)	PUNCT
ejpam-7184	340	11	4	4	NUM
ejpam-7184	340	12	(	(	PUNCT
ejpam-7184	340	13	1	1	NUM
ejpam-7184	340	14	+	+	NUM
ejpam-7184	340	15	δη∗[r	δη∗[r	NOUN
ejpam-7184	340	16	,	,	PUNCT
ejpam-7184	340	17	n	n	CCONJ
ejpam-7184	340	18	,	,	PUNCT
ejpam-7184	340	19	w	w	NOUN
ejpam-7184	340	20	,	,	PUNCT
ejpam-7184	340	21	l](gn(yj	l](gn(yj	NOUN
ejpam-7184	340	22	)	)	PUNCT
ejpam-7184	340	23	)	)	PUNCT
ejpam-7184	340	24	λ(1−gn(yj	λ(1−gn(yj	NUM
ejpam-7184	340	25	)	)	PUNCT
ejpam-7184	340	26	)	)	PUNCT
ejpam-7184	340	27	α−1	α−1	NOUN
ejpam-7184	340	28	)	)	PUNCT
ejpam-7184	340	29	4	4	NUM
ejpam-7184	340	30	.	.	PUNCT
ejpam-7184	340	31	example	example	NOUN
ejpam-7184	341	1	3.0.2	3.0.2	NUM
ejpam-7184	341	2	.	.	PUNCT
ejpam-7184	341	3	consider	consider	VERB
ejpam-7184	341	4	the	the	DET
ejpam-7184	341	5	random	random	ADJ
ejpam-7184	341	6	sample	sample	NOUN
ejpam-7184	341	7	x1	x1	PROPN
ejpam-7184	341	8	,	,	PUNCT
ejpam-7184	341	9	...	...	PUNCT
ejpam-7184	341	10	,	,	PUNCT
ejpam-7184	341	11	xn	xn	PROPN
ejpam-7184	341	12	with	with	ADP
ejpam-7184	341	13	exp(θ	exp(θ	PROPN
ejpam-7184	341	14	)	)	PUNCT
ejpam-7184	341	15	.	.	PUNCT
ejpam-7184	342	1	pyke	pyke	NOUN
ejpam-7184	342	2	states	state	VERB
ejpam-7184	342	3	in	in	ADP
ejpam-7184	342	4	[	[	X
ejpam-7184	342	5	25	25	NUM
ejpam-7184	342	6	]	]	PUNCT
ejpam-7184	342	7	that	that	SCONJ
ejpam-7184	342	8	the	the	DET
ejpam-7184	342	9	sample	sample	NOUN
ejpam-7184	342	10	spacing	space	VERB
ejpam-7184	342	11	wj+1	wj+1	PROPN
ejpam-7184	342	12	is	be	AUX
ejpam-7184	342	13	in	in	ADP
ejpam-7184	342	14	accordance	accordance	NOUN
ejpam-7184	342	15	with	with	ADP
ejpam-7184	342	16	exp(θ(n	exp(θ(n	ADJ
ejpam-7184	342	17	−	−	PROPN
ejpam-7184	342	18	j	j	PROPN
ejpam-7184	342	19	)	)	PUNCT
ejpam-7184	342	20	)	)	PUNCT
ejpam-7184	342	21	.	.	PUNCT
ejpam-7184	343	1	thus	thus	ADV
ejpam-7184	343	2	,	,	PUNCT
ejpam-7184	343	3	derived	derive	VERB
ejpam-7184	343	4	from	from	ADP
ejpam-7184	343	5	(	(	PUNCT
ejpam-7184	343	6	3.2	3.2	NUM
ejpam-7184	343	7	)	)	PUNCT
ejpam-7184	343	8	and	and	CCONJ
ejpam-7184	343	9	(	(	PUNCT
ejpam-7184	343	10	3.3	3.3	NUM
ejpam-7184	343	11	)	)	PUNCT
ejpam-7184	343	12	,	,	PUNCT
ejpam-7184	343	13	we	we	PRON
ejpam-7184	343	14	get	get	VERB
ejpam-7184	343	15	e(ξ1[r	e(ξ1[r	NOUN
ejpam-7184	343	16	,	,	PUNCT
ejpam-7184	343	17	n	n	CCONJ
ejpam-7184	343	18	,	,	PUNCT
ejpam-7184	343	19	w	w	NOUN
ejpam-7184	343	20	,	,	PUNCT
ejpam-7184	343	21	l](gn	l](gn	NOUN
ejpam-7184	343	22	)	)	PUNCT
ejpam-7184	343	23	)	)	PUNCT
ejpam-7184	344	1	=	=	PUNCT
ejpam-7184	345	1	−1	−1	NOUN
ejpam-7184	345	2	2nθ	2nθ	NOUN
ejpam-7184	345	3	n−1∑	n−1∑	ADJ
ejpam-7184	345	4	j=1	j=1	NOUN
ejpam-7184	345	5	(	(	PUNCT
ejpam-7184	345	6	1−	1−	NUM
ejpam-7184	345	7	j	j	PROPN
ejpam-7184	345	8	n	n	PROPN
ejpam-7184	345	9	)	)	PUNCT
ejpam-7184	345	10	(	(	PUNCT
ejpam-7184	345	11	1	1	NUM
ejpam-7184	345	12	+	+	NUM
ejpam-7184	345	13	δη∗[r	δη∗[r	NOUN
ejpam-7184	345	14	,	,	PUNCT
ejpam-7184	345	15	n	n	CCONJ
ejpam-7184	345	16	,	,	PUNCT
ejpam-7184	345	17	w	w	NOUN
ejpam-7184	345	18	,	,	PUNCT
ejpam-7184	345	19	l	l	NOUN
ejpam-7184	345	20	]	]	X
ejpam-7184	345	21	(	(	PUNCT
ejpam-7184	345	22	j	j	PROPN
ejpam-7184	345	23	n	n	CCONJ
ejpam-7184	345	24	)	)	PUNCT
ejpam-7184	345	25	λ(1−	λ(1−	PROPN
ejpam-7184	345	26	j	j	PROPN
ejpam-7184	345	27	n	n	CCONJ
ejpam-7184	345	28	)	)	PUNCT
ejpam-7184	345	29	α−1	α−1	PROPN
ejpam-7184	345	30	)	)	PUNCT
ejpam-7184	345	31	2	2	NUM
ejpam-7184	345	32	,	,	PUNCT
ejpam-7184	345	33	m.	m.	NOUN
ejpam-7184	345	34	s.	s.	PROPN
ejpam-7184	345	35	mohamed	mohamed	PROPN
ejpam-7184	345	36	et	et	PROPN
ejpam-7184	345	37	al	al	PROPN
ejpam-7184	345	38	.	.	PUNCT
ejpam-7184	345	39	/	/	SYM
ejpam-7184	345	40	eur	eur	PROPN
ejpam-7184	345	41	.	.	PUNCT
ejpam-7184	346	1	j.	j.	PROPN
ejpam-7184	346	2	pure	pure	PROPN
ejpam-7184	346	3	appl	appl	PROPN
ejpam-7184	346	4	.	.	PROPN
ejpam-7184	346	5	math	math	PROPN
ejpam-7184	346	6	,	,	PUNCT
ejpam-7184	346	7	18	18	NUM
ejpam-7184	346	8	(	(	PUNCT
ejpam-7184	346	9	4	4	NUM
ejpam-7184	346	10	)	)	PUNCT
ejpam-7184	346	11	(	(	PUNCT
ejpam-7184	346	12	2025	2025	NUM
ejpam-7184	346	13	)	)	PUNCT
ejpam-7184	346	14	,	,	PUNCT
ejpam-7184	346	15	7184	7184	NUM
ejpam-7184	346	16	16	16	NUM
ejpam-7184	346	17	of	of	ADP
ejpam-7184	346	18	21	21	NUM
ejpam-7184	346	19	v	v	NOUN
ejpam-7184	346	20	ar(ξ1[r	ar(ξ1[r	NOUN
ejpam-7184	346	21	,	,	PUNCT
ejpam-7184	346	22	n	n	CCONJ
ejpam-7184	346	23	,	,	PUNCT
ejpam-7184	346	24	w	w	NOUN
ejpam-7184	346	25	,	,	PUNCT
ejpam-7184	346	26	l](gn	l](gn	NOUN
ejpam-7184	346	27	)	)	PUNCT
ejpam-7184	346	28	)	)	PUNCT
ejpam-7184	347	1	=	=	PUNCT
ejpam-7184	347	2	1	1	NUM
ejpam-7184	347	3	4n2θ2	4n2θ2	NOUN
ejpam-7184	347	4	n−1∑	n−1∑	ADJ
ejpam-7184	347	5	j=1	j=1	NOUN
ejpam-7184	347	6	(	(	PUNCT
ejpam-7184	347	7	1−	1−	NUM
ejpam-7184	347	8	j	j	PROPN
ejpam-7184	347	9	n	n	CCONJ
ejpam-7184	347	10	)	)	PUNCT
ejpam-7184	347	11	2	2	NUM
ejpam-7184	347	12	(	(	PUNCT
ejpam-7184	347	13	1	1	NUM
ejpam-7184	347	14	+	+	NUM
ejpam-7184	347	15	δη∗[r	δη∗[r	NOUN
ejpam-7184	347	16	,	,	PUNCT
ejpam-7184	347	17	n	n	CCONJ
ejpam-7184	347	18	,	,	PUNCT
ejpam-7184	347	19	w	w	NOUN
ejpam-7184	347	20	,	,	PUNCT
ejpam-7184	347	21	l	l	NOUN
ejpam-7184	347	22	]	]	X
ejpam-7184	347	23	(	(	PUNCT
ejpam-7184	347	24	j	j	PROPN
ejpam-7184	347	25	n	n	CCONJ
ejpam-7184	347	26	)	)	PUNCT
ejpam-7184	347	27	λ(1−	λ(1−	PROPN
ejpam-7184	347	28	j	j	PROPN
ejpam-7184	347	29	n	n	CCONJ
ejpam-7184	347	30	)	)	PUNCT
ejpam-7184	347	31	α−1	α−1	PROPN
ejpam-7184	347	32	)	)	PUNCT
ejpam-7184	347	33	4	4	NUM
ejpam-7184	347	34	,	,	PUNCT
ejpam-7184	347	35	e(ξ2[r	e(ξ2[r	X
ejpam-7184	347	36	,	,	PUNCT
ejpam-7184	347	37	n	n	CCONJ
ejpam-7184	347	38	,	,	PUNCT
ejpam-7184	347	39	w	w	NOUN
ejpam-7184	347	40	,	,	PUNCT
ejpam-7184	347	41	l](gn	l](gn	NOUN
ejpam-7184	347	42	)	)	PUNCT
ejpam-7184	347	43	)	)	PUNCT
ejpam-7184	348	1	=	=	SYM
ejpam-7184	349	1	−1	−1	NOUN
ejpam-7184	349	2	2θ	2θ	NUM
ejpam-7184	349	3	n−1∑	n−1∑	ADJ
ejpam-7184	349	4	j=1	j=1	NOUN
ejpam-7184	349	5	(	(	PUNCT
ejpam-7184	349	6	1−gn(yj	1−gn(yj	NUM
ejpam-7184	349	7	)	)	PUNCT
ejpam-7184	349	8	)	)	PUNCT
ejpam-7184	350	1	2	2	NUM
ejpam-7184	350	2	n−	n−	PROPN
ejpam-7184	350	3	j	j	PROPN
ejpam-7184	350	4	(	(	PUNCT
ejpam-7184	350	5	1	1	NUM
ejpam-7184	350	6	+	+	NUM
ejpam-7184	350	7	δη∗[r	δη∗[r	NOUN
ejpam-7184	350	8	,	,	PUNCT
ejpam-7184	350	9	n	n	CCONJ
ejpam-7184	350	10	,	,	PUNCT
ejpam-7184	350	11	w	w	NOUN
ejpam-7184	350	12	,	,	PUNCT
ejpam-7184	350	13	l](gn(yj	l](gn(yj	NOUN
ejpam-7184	350	14	)	)	PUNCT
ejpam-7184	350	15	)	)	PUNCT
ejpam-7184	351	1	λ(1−gn(yj	λ(1−gn(yj	NUM
ejpam-7184	351	2	)	)	PUNCT
ejpam-7184	351	3	)	)	PUNCT
ejpam-7184	352	1	α−1	α−1	PROPN
ejpam-7184	352	2	)	)	PUNCT
ejpam-7184	352	3	2	2	NUM
ejpam-7184	352	4	,	,	PUNCT
ejpam-7184	352	5	v	v	NOUN
ejpam-7184	352	6	ar(ξ2[r	ar(ξ2[r	ADJ
ejpam-7184	352	7	,	,	PUNCT
ejpam-7184	352	8	n	n	CCONJ
ejpam-7184	352	9	,	,	PUNCT
ejpam-7184	352	10	w	w	NOUN
ejpam-7184	352	11	,	,	PUNCT
ejpam-7184	352	12	l](gn	l](gn	NOUN
ejpam-7184	352	13	)	)	PUNCT
ejpam-7184	352	14	)	)	PUNCT
ejpam-7184	353	1	=	=	SYM
ejpam-7184	353	2	1	1	NUM
ejpam-7184	353	3	4θ2	4θ2	NUM
ejpam-7184	353	4	n−1∑	n−1∑	PROPN
ejpam-7184	353	5	j=1	j=1	NOUN
ejpam-7184	353	6	(	(	PUNCT
ejpam-7184	353	7	1−gn(yj	1−gn(yj	NUM
ejpam-7184	353	8	)	)	PUNCT
ejpam-7184	353	9	)	)	PUNCT
ejpam-7184	353	10	4	4	NUM
ejpam-7184	353	11	(	(	PUNCT
ejpam-7184	353	12	n−	n−	NOUN
ejpam-7184	353	13	j)2	j)2	PROPN
ejpam-7184	353	14	(	(	PUNCT
ejpam-7184	353	15	1	1	NUM
ejpam-7184	353	16	+	+	NUM
ejpam-7184	353	17	δη∗[r	δη∗[r	NOUN
ejpam-7184	353	18	,	,	PUNCT
ejpam-7184	353	19	n	n	CCONJ
ejpam-7184	353	20	,	,	PUNCT
ejpam-7184	353	21	w	w	NOUN
ejpam-7184	353	22	,	,	PUNCT
ejpam-7184	353	23	l](gn(yj	l](gn(yj	NOUN
ejpam-7184	353	24	)	)	PUNCT
ejpam-7184	353	25	)	)	PUNCT
ejpam-7184	354	1	λ(1−gn(yj	λ(1−gn(yj	NUM
ejpam-7184	354	2	)	)	PUNCT
ejpam-7184	354	3	)	)	PUNCT
ejpam-7184	355	1	α−1	α−1	NOUN
ejpam-7184	355	2	)	)	PUNCT
ejpam-7184	355	3	4	4	NUM
ejpam-7184	355	4	.	.	PUNCT
ejpam-7184	356	1	based	base	VERB
ejpam-7184	356	2	on	on	ADP
ejpam-7184	356	3	os	os	NOUN
ejpam-7184	356	4	,	,	PUNCT
ejpam-7184	356	5	table	table	NOUN
ejpam-7184	356	6	(	(	PUNCT
ejpam-7184	356	7	1	1	NUM
ejpam-7184	356	8	)	)	PUNCT
ejpam-7184	356	9	presents	presents	AUX
ejpam-7184	356	10	the	the	DET
ejpam-7184	356	11	mean	mean	NOUN
ejpam-7184	356	12	and	and	CCONJ
ejpam-7184	356	13	variance	variance	NOUN
ejpam-7184	356	14	of	of	ADP
ejpam-7184	356	15	ξ1[r;n,0,1	ξ1[r;n,0,1	NOUN
ejpam-7184	356	16	]	]	PUNCT
ejpam-7184	356	17	and	and	CCONJ
ejpam-7184	356	18	ξ2[r;n,0,1	ξ2[r;n,0,1	NOUN
ejpam-7184	356	19	]	]	PUNCT
ejpam-7184	356	20	from	from	ADP
ejpam-7184	356	21	exp	exp	NOUN
ejpam-7184	356	22	(	(	PUNCT
ejpam-7184	356	23	θ	θ	NOUN
ejpam-7184	356	24	)	)	PUNCT
ejpam-7184	356	25	,	,	PUNCT
ejpam-7184	356	26	for	for	ADP
ejpam-7184	356	27	varying	vary	VERB
ejpam-7184	356	28	sample	sample	NOUN
ejpam-7184	356	29	size	size	NOUN
ejpam-7184	356	30	values	value	NOUN
ejpam-7184	356	31	(	(	PUNCT
ejpam-7184	356	32	n	n	NOUN
ejpam-7184	356	33	=	=	SYM
ejpam-7184	356	34	10	10	NUM
ejpam-7184	356	35	,	,	PUNCT
ejpam-7184	356	36	30	30	NUM
ejpam-7184	356	37	,	,	PUNCT
ejpam-7184	356	38	60	60	NUM
ejpam-7184	356	39	,	,	PUNCT
ejpam-7184	356	40	100	100	NUM
ejpam-7184	356	41	)	)	PUNCT
ejpam-7184	356	42	using	use	VERB
ejpam-7184	356	43	(	(	PUNCT
ejpam-7184	356	44	θ	θ	NOUN
ejpam-7184	356	45	=	=	SYM
ejpam-7184	356	46	0.5	0.5	NUM
ejpam-7184	356	47	,	,	PUNCT
ejpam-7184	356	48	1	1	NUM
ejpam-7184	356	49	,	,	PUNCT
ejpam-7184	356	50	2	2	NUM
ejpam-7184	356	51	)	)	PUNCT
ejpam-7184	356	52	.	.	PUNCT
ejpam-7184	357	1	table	table	NOUN
ejpam-7184	357	2	1	1	NUM
ejpam-7184	357	3	:	:	PUNCT
ejpam-7184	357	4	the	the	DET
ejpam-7184	357	5	empirical	empirical	ADJ
ejpam-7184	357	6	estimators	estimator	NOUN
ejpam-7184	357	7	’	'	PUNCT
ejpam-7184	357	8	mean	mean	VERB
ejpam-7184	357	9	and	and	CCONJ
ejpam-7184	357	10	variance	variance	NOUN
ejpam-7184	357	11	for	for	ADP
ejpam-7184	357	12	crex	crex	NOUN
ejpam-7184	357	13	of	of	ADP
ejpam-7184	357	14	concomitants	concomitant	NOUN
ejpam-7184	357	15	of	of	ADP
ejpam-7184	357	16	os	os	NOUN
ejpam-7184	357	17	under	under	ADP
ejpam-7184	357	18	lai	lai	PROPN
ejpam-7184	357	19	and	and	CCONJ
ejpam-7184	357	20	xie	xie	PROPN
ejpam-7184	357	21	extensions	extension	NOUN
ejpam-7184	357	22	at	at	ADP
ejpam-7184	357	23	α	α	NOUN
ejpam-7184	357	24	=	=	SYM
ejpam-7184	357	25	5	5	NUM
ejpam-7184	357	26	,	,	PUNCT
ejpam-7184	357	27	λ	λ	X
ejpam-7184	357	28	=	=	NOUN
ejpam-7184	357	29	7	7	NUM
ejpam-7184	357	30	,	,	PUNCT
ejpam-7184	357	31	r	r	NOUN
ejpam-7184	357	32	=	=	SYM
ejpam-7184	357	33	3	3	NUM
ejpam-7184	357	34	,	,	PUNCT
ejpam-7184	357	35	and	and	CCONJ
ejpam-7184	357	36	δ	δ	PROPN
ejpam-7184	357	37	=	=	PUNCT
ejpam-7184	358	1	0.8	0.8	NUM
ejpam-7184	358	2	.	.	PUNCT
ejpam-7184	359	1	n	n	NUM
ejpam-7184	359	2	θ	θ	PROPN
ejpam-7184	359	3	exp	exp	NOUN
ejpam-7184	359	4	(	(	PUNCT
ejpam-7184	359	5	θ	θ	NOUN
ejpam-7184	359	6	)	)	PUNCT
ejpam-7184	359	7	distribution	distribution	NOUN
ejpam-7184	359	8	the	the	DET
ejpam-7184	359	9	first	first	ADJ
ejpam-7184	359	10	estimator	estimator	NOUN
ejpam-7184	359	11	the	the	DET
ejpam-7184	359	12	second	second	ADJ
ejpam-7184	359	13	estimator	estimator	NOUN
ejpam-7184	359	14	e(ξ1[r;n,0,1	e(ξ1[r;n,0,1	NOUN
ejpam-7184	359	15	]	]	X
ejpam-7184	359	16	)	)	PUNCT
ejpam-7184	359	17	v	v	ADP
ejpam-7184	359	18	ar(ξ1[r;n,0,1	ar(ξ1[r;n,0,1	NOUN
ejpam-7184	359	19	]	]	PUNCT
ejpam-7184	359	20	)	)	PUNCT
ejpam-7184	359	21	e(ξ2[r;n,0,1	e(ξ2[r;n,0,1	NOUN
ejpam-7184	359	22	]	]	PUNCT
ejpam-7184	359	23	)	)	PUNCT
ejpam-7184	359	24	v	v	ADP
ejpam-7184	359	25	ar(ξ2[r;n,0,1	ar(ξ2[r;n,0,1	NOUN
ejpam-7184	359	26	]	]	PUNCT
ejpam-7184	359	27	)	)	PUNCT
ejpam-7184	359	28	10	10	NUM
ejpam-7184	359	29	0.5	0.5	NUM
ejpam-7184	359	30	-0.4500	-0.4500	NOUN
ejpam-7184	359	31	0.0285	0.0285	NUM
ejpam-7184	359	32	-0.5543	-0.5543	NOUN
ejpam-7184	359	33	0.0387	0.0387	NUM
ejpam-7184	359	34	1	1	NUM
ejpam-7184	359	35	-0.2250	-0.2250	NOUN
ejpam-7184	359	36	0.0071	0.0071	NUM
ejpam-7184	359	37	-0.2837	-0.2837	NOUN
ejpam-7184	359	38	0.0095	0.0095	NUM
ejpam-7184	359	39	2	2	NUM
ejpam-7184	359	40	-0.1125	-0.1125	NOUN
ejpam-7184	359	41	0.0017	0.0017	NUM
ejpam-7184	359	42	-0.1538	-0.1538	NOUN
ejpam-7184	359	43	0.0027	0.0027	NUM
ejpam-7184	359	44	30	30	NUM
ejpam-7184	359	45	0.5	0.5	NUM
ejpam-7184	359	46	-0.4833	-0.4833	NOUN
ejpam-7184	359	47	0.0105	0.0105	NUM
ejpam-7184	359	48	-0.5178	-0.5178	NOUN
ejpam-7184	359	49	0.0115	0.0115	NUM
ejpam-7184	359	50	1	1	NUM
ejpam-7184	359	51	-0.2416	-0.2416	CCONJ
ejpam-7184	359	52	0.0026	0.0026	NUM
ejpam-7184	359	53	-0.2600	-0.2600	NOUN
ejpam-7184	360	1	0.0028	0.0028	NUM
ejpam-7184	360	2	2	2	NUM
ejpam-7184	360	3	-0.1208	-0.1208	NOUN
ejpam-7184	360	4	0.0006	0.0006	NUM
ejpam-7184	360	5	-0.1325	-0.1325	NOUN
ejpam-7184	360	6	0.0006	0.0006	NUM
ejpam-7184	360	7	60	60	NUM
ejpam-7184	360	8	0.5	0.5	NUM
ejpam-7184	360	9	-0.4916	-0.4916	NOUN
ejpam-7184	360	10	0.0054	0.0054	NUM
ejpam-7184	360	11	-0.5088	-0.5088	NUM
ejpam-7184	361	1	0.0056	0.0056	NUM
ejpam-7184	361	2	1	1	NUM
ejpam-7184	361	3	-0.2458	-0.2458	NOUN
ejpam-7184	361	4	0.0013	0.0013	NUM
ejpam-7184	361	5	-0.2550	-0.2550	NOUN
ejpam-7184	361	6	0.0013	0.0013	NUM
ejpam-7184	361	7	2	2	NUM
ejpam-7184	361	8	-0.1229	-0.1229	NOUN
ejpam-7184	361	9	0.0003	0.0003	NUM
ejpam-7184	361	10	-0.1290	-0.1290	NOUN
ejpam-7184	361	11	0.0004	0.0004	NUM
ejpam-7184	361	12	100	100	NUM
ejpam-7184	361	13	0.5	0.5	NUM
ejpam-7184	361	14	-0.4950	-0.4950	NOUN
ejpam-7184	361	15	0.0032	0.0032	NUM
ejpam-7184	361	16	-0.5054	-0.5054	NOUN
ejpam-7184	362	1	0.0033	0.0033	NUM
ejpam-7184	362	2	1	1	NUM
ejpam-7184	362	3	-0.2475	-0.2475	NOUN
ejpam-7184	362	4	0.0008	0.0008	NUM
ejpam-7184	362	5	-0.2531	-0.2531	NOUN
ejpam-7184	362	6	0.0008	0.0008	NUM
ejpam-7184	362	7	2	2	NUM
ejpam-7184	362	8	-0.1237	-0.1237	NOUN
ejpam-7184	362	9	0.0002	0.0002	NUM
ejpam-7184	362	10	-0.1278	-0.1278	NOUN
ejpam-7184	362	11	0.0001	0.0001	NUM
ejpam-7184	362	12	table	table	NOUN
ejpam-7184	362	13	1	1	NUM
ejpam-7184	362	14	provides	provide	VERB
ejpam-7184	362	15	the	the	DET
ejpam-7184	362	16	characteristics	characteristic	NOUN
ejpam-7184	362	17	listed	list	VERB
ejpam-7184	362	18	below	below	ADV
ejpam-7184	362	19	:	:	PUNCT
ejpam-7184	362	20	(	(	PUNCT
ejpam-7184	362	21	i	i	NOUN
ejpam-7184	362	22	)	)	PUNCT
ejpam-7184	362	23	when	when	SCONJ
ejpam-7184	362	24	n	n	X
ejpam-7184	362	25	is	be	AUX
ejpam-7184	362	26	a	a	DET
ejpam-7184	362	27	fixed	fix	VERB
ejpam-7184	362	28	value	value	NOUN
ejpam-7184	362	29	,	,	PUNCT
ejpam-7184	362	30	the	the	DET
ejpam-7184	362	31	values	value	NOUN
ejpam-7184	362	32	of	of	ADP
ejpam-7184	362	33	the	the	DET
ejpam-7184	362	34	mean	mean	ADJ
ejpam-7184	362	35	increase	increase	NOUN
ejpam-7184	362	36	as	as	ADP
ejpam-7184	362	37	the	the	DET
ejpam-7184	362	38	values	value	NOUN
ejpam-7184	362	39	of	of	ADP
ejpam-7184	362	40	θ	θ	PROPN
ejpam-7184	362	41	increase	increase	NOUN
ejpam-7184	362	42	,	,	PUNCT
ejpam-7184	362	43	whereas	whereas	SCONJ
ejpam-7184	362	44	the	the	DET
ejpam-7184	362	45	values	value	NOUN
ejpam-7184	362	46	of	of	ADP
ejpam-7184	362	47	variance	variance	NOUN
ejpam-7184	362	48	decrease	decrease	NOUN
ejpam-7184	362	49	with	with	ADP
ejpam-7184	362	50	θ	θ	PROPN
ejpam-7184	362	51	.	.	PUNCT
ejpam-7184	362	52	m.	m.	PROPN
ejpam-7184	362	53	s.	s.	PROPN
ejpam-7184	362	54	mohamed	mohamed	PROPN
ejpam-7184	362	55	et	et	PROPN
ejpam-7184	362	56	al	al	PROPN
ejpam-7184	362	57	.	.	PUNCT
ejpam-7184	362	58	/	/	SYM
ejpam-7184	362	59	eur	eur	PROPN
ejpam-7184	362	60	.	.	PUNCT
ejpam-7184	363	1	j.	j.	PROPN
ejpam-7184	363	2	pure	pure	PROPN
ejpam-7184	363	3	appl	appl	PROPN
ejpam-7184	363	4	.	.	PROPN
ejpam-7184	363	5	math	math	PROPN
ejpam-7184	363	6	,	,	PUNCT
ejpam-7184	363	7	18	18	NUM
ejpam-7184	363	8	(	(	PUNCT
ejpam-7184	363	9	4	4	NUM
ejpam-7184	363	10	)	)	PUNCT
ejpam-7184	363	11	(	(	PUNCT
ejpam-7184	363	12	2025	2025	NUM
ejpam-7184	363	13	)	)	PUNCT
ejpam-7184	363	14	,	,	PUNCT
ejpam-7184	363	15	7184	7184	NUM
ejpam-7184	363	16	17	17	NUM
ejpam-7184	363	17	of	of	ADP
ejpam-7184	363	18	21	21	NUM
ejpam-7184	363	19	(	(	PUNCT
ejpam-7184	363	20	ii	ii	NOUN
ejpam-7184	363	21	)	)	PUNCT
ejpam-7184	363	22	for	for	ADP
ejpam-7184	363	23	a	a	DET
ejpam-7184	363	24	fixed	fix	VERB
ejpam-7184	363	25	θ	θ	NOUN
ejpam-7184	363	26	,	,	PUNCT
ejpam-7184	363	27	both	both	CCONJ
ejpam-7184	363	28	the	the	DET
ejpam-7184	363	29	values	value	NOUN
ejpam-7184	363	30	of	of	ADP
ejpam-7184	363	31	mean	mean	NOUN
ejpam-7184	363	32	and	and	CCONJ
ejpam-7184	363	33	variance	variance	NOUN
ejpam-7184	363	34	are	be	AUX
ejpam-7184	363	35	declining	decline	VERB
ejpam-7184	363	36	as	as	ADP
ejpam-7184	363	37	n	n	NUM
ejpam-7184	363	38	increases	increase	NOUN
ejpam-7184	363	39	in	in	ADP
ejpam-7184	363	40	value	value	NOUN
ejpam-7184	363	41	.	.	PUNCT
ejpam-7184	364	1	(	(	PUNCT
ejpam-7184	364	2	iii	iii	NOUN
ejpam-7184	364	3	)	)	PUNCT
ejpam-7184	364	4	when	when	SCONJ
ejpam-7184	364	5	n	n	NUM
ejpam-7184	364	6	approaches	approach	VERB
ejpam-7184	364	7	infinity	infinity	NOUN
ejpam-7184	364	8	,	,	PUNCT
ejpam-7184	364	9	the	the	DET
ejpam-7184	364	10	value	value	NOUN
ejpam-7184	364	11	of	of	ADP
ejpam-7184	364	12	the	the	DET
ejpam-7184	364	13	variance	variance	NOUN
ejpam-7184	364	14	tends	tend	VERB
ejpam-7184	364	15	to	to	ADP
ejpam-7184	364	16	zero	zero	NUM
ejpam-7184	364	17	.	.	PUNCT
ejpam-7184	365	1	simulated	simulated	ADJ
ejpam-7184	365	2	data	datum	NOUN
ejpam-7184	365	3	are	be	AUX
ejpam-7184	365	4	shown	show	VERB
ejpam-7184	365	5	in	in	ADP
ejpam-7184	365	6	figure	figure	NOUN
ejpam-7184	365	7	4	4	NUM
ejpam-7184	365	8	.	.	PUNCT
ejpam-7184	366	1	thus	thus	ADV
ejpam-7184	366	2	,	,	PUNCT
ejpam-7184	366	3	we	we	PRON
ejpam-7184	366	4	can	can	AUX
ejpam-7184	366	5	infer	infer	VERB
ejpam-7184	366	6	that	that	SCONJ
ejpam-7184	366	7	the	the	DET
ejpam-7184	366	8	empirical	empirical	ADJ
ejpam-7184	366	9	estimators	estimator	NOUN
ejpam-7184	366	10	go	go	VERB
ejpam-7184	366	11	closer	close	ADV
ejpam-7184	366	12	to	to	ADP
ejpam-7184	366	13	the	the	DET
ejpam-7184	366	14	theoretical	theoretical	ADJ
ejpam-7184	366	15	value	value	NOUN
ejpam-7184	366	16	as	as	ADP
ejpam-7184	366	17	r	r	NOUN
ejpam-7184	366	18	and	and	CCONJ
ejpam-7184	366	19	θ	θ	NOUN
ejpam-7184	366	20	increase	increase	NOUN
ejpam-7184	366	21	,	,	PUNCT
ejpam-7184	366	22	and	and	CCONJ
ejpam-7184	366	23	vice	vice	ADV
ejpam-7184	366	24	versa	versa	ADV
ejpam-7184	366	25	.	.	PUNCT
ejpam-7184	367	1	0	0	NUM
ejpam-7184	368	1	20	20	NUM
ejpam-7184	368	2	40	40	NUM
ejpam-7184	368	3	60	60	NUM
ejpam-7184	368	4	80	80	NUM
ejpam-7184	368	5	−	−	NUM
ejpam-7184	368	6	1	1	NUM
ejpam-7184	368	7	.	.	NOUN
ejpam-7184	368	8	0	0	NUM
ejpam-7184	368	9	−	−	NOUN
ejpam-7184	368	10	0	0	NUM
ejpam-7184	368	11	.	.	NOUN
ejpam-7184	368	12	8	8	NUM
ejpam-7184	368	13	−	−	NOUN
ejpam-7184	368	14	0	0	NUM
ejpam-7184	368	15	.	.	PROPN
ejpam-7184	368	16	6	6	NUM
ejpam-7184	368	17	−	−	NOUN
ejpam-7184	368	18	0	0	NUM
ejpam-7184	368	19	.	.	NOUN
ejpam-7184	368	20	4	4	NUM
ejpam-7184	368	21	−	−	NOUN
ejpam-7184	368	22	0	0	NUM
ejpam-7184	368	23	.	.	NOUN
ejpam-7184	368	24	2	2	NUM
ejpam-7184	368	25	0	0	NUM
ejpam-7184	368	26	.	.	NOUN
ejpam-7184	368	27	0	0	PUNCT
ejpam-7184	369	1	(	(	PUNCT
ejpam-7184	369	2	a	a	X
ejpam-7184	369	3	)	)	PUNCT
ejpam-7184	369	4	sample	sample	NOUN
ejpam-7184	369	5	size	size	NOUN
ejpam-7184	369	6	e	e	NOUN
ejpam-7184	369	7	m	m	NOUN
ejpam-7184	369	8	pi	pi	NOUN
ejpam-7184	369	9	ric	ric	PROPN
ejpam-7184	369	10	al	al	PROPN
ejpam-7184	369	11	e	e	PROPN
ejpam-7184	369	12	st	st	PROPN
ejpam-7184	369	13	i	i	PRON
ejpam-7184	369	14	m	m	VERB
ejpam-7184	369	15	at	at	ADP
ejpam-7184	369	16	es	es	X
ejpam-7184	369	17	0	0	NUM
ejpam-7184	369	18	20	20	NUM
ejpam-7184	369	19	40	40	NUM
ejpam-7184	369	20	60	60	NUM
ejpam-7184	369	21	80	80	NUM
ejpam-7184	369	22	−	−	NUM
ejpam-7184	369	23	1	1	NUM
ejpam-7184	369	24	.	.	NOUN
ejpam-7184	369	25	0	0	NUM
ejpam-7184	370	1	−	−	NOUN
ejpam-7184	370	2	0	0	NUM
ejpam-7184	370	3	.	.	NOUN
ejpam-7184	370	4	8	8	NUM
ejpam-7184	370	5	−	−	NOUN
ejpam-7184	370	6	0	0	NUM
ejpam-7184	370	7	.	.	PROPN
ejpam-7184	370	8	6	6	NUM
ejpam-7184	370	9	−	−	NOUN
ejpam-7184	370	10	0	0	NUM
ejpam-7184	370	11	.	.	NOUN
ejpam-7184	370	12	4	4	NUM
ejpam-7184	370	13	−	−	NOUN
ejpam-7184	370	14	0	0	NUM
ejpam-7184	370	15	.	.	NOUN
ejpam-7184	370	16	2	2	NUM
ejpam-7184	370	17	0	0	NUM
ejpam-7184	370	18	.	.	NOUN
ejpam-7184	370	19	0	0	NUM
ejpam-7184	371	1	first	first	ADJ
ejpam-7184	371	2	estimator	estimator	NOUN
ejpam-7184	371	3	second	second	PROPN
ejpam-7184	371	4	estimator	estimator	NOUN
ejpam-7184	371	5	theoretical	theoretical	ADJ
ejpam-7184	371	6	estimates	estimate	NOUN
ejpam-7184	371	7	30	30	NUM
ejpam-7184	371	8	40	40	NUM
ejpam-7184	371	9	50	50	NUM
ejpam-7184	371	10	60	60	NUM
ejpam-7184	371	11	70	70	NUM
ejpam-7184	371	12	80	80	NUM
ejpam-7184	371	13	−	−	NUM
ejpam-7184	371	14	1	1	NUM
ejpam-7184	371	15	.	.	NOUN
ejpam-7184	371	16	0	0	NUM
ejpam-7184	372	1	−	−	NOUN
ejpam-7184	372	2	0	0	NUM
ejpam-7184	372	3	.	.	NOUN
ejpam-7184	372	4	8	8	NUM
ejpam-7184	372	5	−	−	NOUN
ejpam-7184	372	6	0	0	NUM
ejpam-7184	372	7	.	.	PROPN
ejpam-7184	372	8	6	6	NUM
ejpam-7184	372	9	−	−	NOUN
ejpam-7184	372	10	0	0	NUM
ejpam-7184	372	11	.	.	NOUN
ejpam-7184	372	12	4	4	NUM
ejpam-7184	372	13	−	−	NOUN
ejpam-7184	372	14	0	0	NUM
ejpam-7184	372	15	.	.	NOUN
ejpam-7184	372	16	2	2	NUM
ejpam-7184	372	17	0	0	NUM
ejpam-7184	372	18	.	.	NOUN
ejpam-7184	372	19	0	0	PUNCT
ejpam-7184	373	1	(	(	PUNCT
ejpam-7184	373	2	b	b	NOUN
ejpam-7184	373	3	)	)	PUNCT
ejpam-7184	373	4	sample	sample	NOUN
ejpam-7184	373	5	size	size	NOUN
ejpam-7184	373	6	e	e	NOUN
ejpam-7184	373	7	m	m	NOUN
ejpam-7184	373	8	pi	pi	NOUN
ejpam-7184	373	9	ric	ric	PROPN
ejpam-7184	373	10	al	al	PROPN
ejpam-7184	373	11	e	e	PROPN
ejpam-7184	373	12	st	st	PROPN
ejpam-7184	374	1	i	i	PRON
ejpam-7184	374	2	m	m	VERB
ejpam-7184	374	3	at	at	ADP
ejpam-7184	374	4	es	es	X
ejpam-7184	374	5	30	30	NUM
ejpam-7184	374	6	40	40	NUM
ejpam-7184	374	7	50	50	NUM
ejpam-7184	374	8	60	60	NUM
ejpam-7184	374	9	70	70	NUM
ejpam-7184	374	10	80	80	NUM
ejpam-7184	374	11	−	−	NUM
ejpam-7184	374	12	1	1	NUM
ejpam-7184	374	13	.	.	NOUN
ejpam-7184	374	14	0	0	NUM
ejpam-7184	375	1	−	−	NOUN
ejpam-7184	375	2	0	0	NUM
ejpam-7184	375	3	.	.	NOUN
ejpam-7184	375	4	8	8	NUM
ejpam-7184	375	5	−	−	NOUN
ejpam-7184	375	6	0	0	NUM
ejpam-7184	375	7	.	.	PROPN
ejpam-7184	375	8	6	6	NUM
ejpam-7184	375	9	−	−	NOUN
ejpam-7184	375	10	0	0	NUM
ejpam-7184	375	11	.	.	NOUN
ejpam-7184	375	12	4	4	NUM
ejpam-7184	375	13	−	−	NOUN
ejpam-7184	375	14	0	0	NUM
ejpam-7184	375	15	.	.	NOUN
ejpam-7184	375	16	2	2	NUM
ejpam-7184	375	17	0	0	NUM
ejpam-7184	375	18	.	.	NOUN
ejpam-7184	375	19	0	0	NUM
ejpam-7184	376	1	first	first	ADJ
ejpam-7184	376	2	estimator	estimator	NOUN
ejpam-7184	376	3	second	second	ADJ
ejpam-7184	376	4	estimator	estimator	NOUN
ejpam-7184	376	5	theoretical	theoretical	ADJ
ejpam-7184	376	6	estimates	estimate	NOUN
ejpam-7184	376	7	0	0	NUM
ejpam-7184	376	8	20	20	NUM
ejpam-7184	376	9	40	40	NUM
ejpam-7184	376	10	60	60	NUM
ejpam-7184	376	11	80	80	NUM
ejpam-7184	376	12	−	−	NUM
ejpam-7184	376	13	1	1	NUM
ejpam-7184	376	14	.	.	NOUN
ejpam-7184	376	15	0	0	NUM
ejpam-7184	377	1	−	−	NOUN
ejpam-7184	377	2	0	0	NUM
ejpam-7184	377	3	.	.	NOUN
ejpam-7184	377	4	8	8	NUM
ejpam-7184	377	5	−	−	NOUN
ejpam-7184	377	6	0	0	NUM
ejpam-7184	377	7	.	.	PROPN
ejpam-7184	377	8	6	6	NUM
ejpam-7184	377	9	−	−	NOUN
ejpam-7184	377	10	0	0	NUM
ejpam-7184	377	11	.	.	NOUN
ejpam-7184	377	12	4	4	NUM
ejpam-7184	377	13	−	−	NOUN
ejpam-7184	377	14	0	0	NUM
ejpam-7184	377	15	.	.	NOUN
ejpam-7184	377	16	2	2	NUM
ejpam-7184	377	17	0	0	NUM
ejpam-7184	377	18	.	.	NOUN
ejpam-7184	377	19	0	0	PUNCT
ejpam-7184	378	1	(	(	PUNCT
ejpam-7184	378	2	c	c	X
ejpam-7184	378	3	)	)	PUNCT
ejpam-7184	378	4	sample	sample	NOUN
ejpam-7184	378	5	size	size	NOUN
ejpam-7184	378	6	e	e	NOUN
ejpam-7184	378	7	m	m	NOUN
ejpam-7184	378	8	pi	pi	NOUN
ejpam-7184	378	9	ric	ric	PROPN
ejpam-7184	378	10	al	al	PROPN
ejpam-7184	378	11	e	e	PROPN
ejpam-7184	378	12	st	st	PROPN
ejpam-7184	379	1	i	i	PRON
ejpam-7184	379	2	m	m	VERB
ejpam-7184	379	3	at	at	ADP
ejpam-7184	379	4	es	es	X
ejpam-7184	379	5	0	0	NUM
ejpam-7184	379	6	20	20	NUM
ejpam-7184	379	7	40	40	NUM
ejpam-7184	379	8	60	60	NUM
ejpam-7184	379	9	80	80	NUM
ejpam-7184	379	10	−	−	NUM
ejpam-7184	379	11	1	1	NUM
ejpam-7184	379	12	.	.	NOUN
ejpam-7184	379	13	0	0	NUM
ejpam-7184	380	1	−	−	NOUN
ejpam-7184	380	2	0	0	NUM
ejpam-7184	380	3	.	.	NOUN
ejpam-7184	380	4	8	8	NUM
ejpam-7184	380	5	−	−	NOUN
ejpam-7184	380	6	0	0	NUM
ejpam-7184	380	7	.	.	PROPN
ejpam-7184	380	8	6	6	NUM
ejpam-7184	380	9	−	−	NOUN
ejpam-7184	380	10	0	0	NUM
ejpam-7184	380	11	.	.	NOUN
ejpam-7184	380	12	4	4	NUM
ejpam-7184	380	13	−	−	NOUN
ejpam-7184	380	14	0	0	NUM
ejpam-7184	380	15	.	.	NOUN
ejpam-7184	380	16	2	2	NUM
ejpam-7184	380	17	0	0	NUM
ejpam-7184	380	18	.	.	NOUN
ejpam-7184	380	19	0	0	NUM
ejpam-7184	381	1	first	first	ADJ
ejpam-7184	381	2	estimator	estimator	NOUN
ejpam-7184	381	3	second	second	PROPN
ejpam-7184	381	4	estimator	estimator	NOUN
ejpam-7184	381	5	theoretical	theoretical	ADJ
ejpam-7184	381	6	estimates	estimate	NOUN
ejpam-7184	381	7	30	30	NUM
ejpam-7184	381	8	40	40	NUM
ejpam-7184	381	9	50	50	NUM
ejpam-7184	381	10	60	60	NUM
ejpam-7184	381	11	70	70	NUM
ejpam-7184	381	12	80	80	NUM
ejpam-7184	381	13	−	−	NUM
ejpam-7184	381	14	1	1	NUM
ejpam-7184	381	15	.	.	NOUN
ejpam-7184	381	16	0	0	NUM
ejpam-7184	382	1	−	−	NOUN
ejpam-7184	382	2	0	0	NUM
ejpam-7184	382	3	.	.	NOUN
ejpam-7184	382	4	8	8	NUM
ejpam-7184	382	5	−	−	NOUN
ejpam-7184	382	6	0	0	NUM
ejpam-7184	382	7	.	.	PROPN
ejpam-7184	382	8	6	6	NUM
ejpam-7184	382	9	−	−	NOUN
ejpam-7184	382	10	0	0	NUM
ejpam-7184	382	11	.	.	NOUN
ejpam-7184	382	12	4	4	NUM
ejpam-7184	382	13	−	−	NOUN
ejpam-7184	382	14	0	0	NUM
ejpam-7184	382	15	.	.	NOUN
ejpam-7184	382	16	2	2	NUM
ejpam-7184	382	17	0	0	NUM
ejpam-7184	382	18	.	.	NOUN
ejpam-7184	382	19	0	0	PUNCT
ejpam-7184	383	1	(	(	PUNCT
ejpam-7184	383	2	d	d	NOUN
ejpam-7184	383	3	)	)	PUNCT
ejpam-7184	383	4	sample	sample	NOUN
ejpam-7184	383	5	size	size	NOUN
ejpam-7184	383	6	e	e	NOUN
ejpam-7184	383	7	m	m	NOUN
ejpam-7184	383	8	pi	pi	NOUN
ejpam-7184	383	9	ric	ric	PROPN
ejpam-7184	383	10	al	al	PROPN
ejpam-7184	383	11	e	e	PROPN
ejpam-7184	383	12	st	st	PROPN
ejpam-7184	384	1	i	i	PRON
ejpam-7184	384	2	m	m	VERB
ejpam-7184	384	3	at	at	ADP
ejpam-7184	384	4	es	es	X
ejpam-7184	384	5	30	30	NUM
ejpam-7184	384	6	40	40	NUM
ejpam-7184	384	7	50	50	NUM
ejpam-7184	384	8	60	60	NUM
ejpam-7184	384	9	70	70	NUM
ejpam-7184	384	10	80	80	NUM
ejpam-7184	384	11	−	−	NUM
ejpam-7184	384	12	1	1	NUM
ejpam-7184	384	13	.	.	NOUN
ejpam-7184	384	14	0	0	NUM
ejpam-7184	385	1	−	−	NOUN
ejpam-7184	385	2	0	0	NUM
ejpam-7184	385	3	.	.	NOUN
ejpam-7184	385	4	8	8	NUM
ejpam-7184	385	5	−	−	NOUN
ejpam-7184	385	6	0	0	NUM
ejpam-7184	385	7	.	.	PROPN
ejpam-7184	385	8	6	6	NUM
ejpam-7184	385	9	−	−	NOUN
ejpam-7184	385	10	0	0	NUM
ejpam-7184	385	11	.	.	NOUN
ejpam-7184	385	12	4	4	NUM
ejpam-7184	385	13	−	−	NOUN
ejpam-7184	385	14	0	0	NUM
ejpam-7184	385	15	.	.	NOUN
ejpam-7184	385	16	2	2	NUM
ejpam-7184	385	17	0	0	NUM
ejpam-7184	385	18	.	.	NOUN
ejpam-7184	385	19	0	0	NUM
ejpam-7184	386	1	first	first	ADJ
ejpam-7184	386	2	estimator	estimator	NOUN
ejpam-7184	386	3	second	second	PROPN
ejpam-7184	386	4	estimator	estimator	NOUN
ejpam-7184	386	5	theoretical	theoretical	ADJ
ejpam-7184	386	6	estimates	estimate	NOUN
ejpam-7184	386	7	figure	figure	VERB
ejpam-7184	386	8	4	4	NUM
ejpam-7184	386	9	:	:	PUNCT
ejpam-7184	386	10	empirical	empirical	ADJ
ejpam-7184	386	11	estimators	estimator	NOUN
ejpam-7184	386	12	of	of	ADP
ejpam-7184	386	13	simulated	simulated	ADJ
ejpam-7184	386	14	data	datum	NOUN
ejpam-7184	386	15	for	for	ADP
ejpam-7184	386	16	crex	crex	NOUN
ejpam-7184	386	17	of	of	ADP
ejpam-7184	386	18	concomitants	concomitant	NOUN
ejpam-7184	386	19	of	of	ADP
ejpam-7184	386	20	os	os	NOUN
ejpam-7184	386	21	under	under	ADP
ejpam-7184	386	22	lai	lai	PROPN
ejpam-7184	386	23	and	and	CCONJ
ejpam-7184	386	24	xie	xie	PROPN
ejpam-7184	386	25	extensions	extension	NOUN
ejpam-7184	386	26	.	.	PUNCT
ejpam-7184	387	1	(	(	PUNCT
ejpam-7184	387	2	a)α	a)α	X
ejpam-7184	387	3	=	=	SYM
ejpam-7184	387	4	5	5	NUM
ejpam-7184	387	5	,	,	PUNCT
ejpam-7184	387	6	λ	λ	NOUN
ejpam-7184	387	7	=	=	SYM
ejpam-7184	387	8	7	7	NUM
ejpam-7184	387	9	,	,	PUNCT
ejpam-7184	387	10	n	n	NOUN
ejpam-7184	387	11	=	=	NUM
ejpam-7184	387	12	80	80	NUM
ejpam-7184	387	13	,	,	PUNCT
ejpam-7184	387	14	r	r	NOUN
ejpam-7184	387	15	=	=	SYM
ejpam-7184	387	16	3	3	NUM
ejpam-7184	387	17	,	,	PUNCT
ejpam-7184	387	18	δ	δ	PROPN
ejpam-7184	387	19	=	=	PUNCT
ejpam-7184	387	20	0.8	0.8	NUM
ejpam-7184	387	21	,	,	PUNCT
ejpam-7184	387	22	θ	θ	PROPN
ejpam-7184	387	23	=	=	SYM
ejpam-7184	387	24	0.5	0.5	NUM
ejpam-7184	387	25	.	.	PUNCT
ejpam-7184	387	26	(	(	PUNCT
ejpam-7184	387	27	b)α	b)α	NOUN
ejpam-7184	387	28	=	=	SYM
ejpam-7184	387	29	5	5	NUM
ejpam-7184	387	30	,	,	PUNCT
ejpam-7184	387	31	λ	λ	NOUN
ejpam-7184	387	32	=	=	SYM
ejpam-7184	387	33	7	7	NUM
ejpam-7184	387	34	,	,	PUNCT
ejpam-7184	387	35	n	n	NOUN
ejpam-7184	387	36	=	=	NUM
ejpam-7184	387	37	80	80	NUM
ejpam-7184	387	38	,	,	PUNCT
ejpam-7184	387	39	r	r	NOUN
ejpam-7184	387	40	=	=	SYM
ejpam-7184	387	41	30	30	NUM
ejpam-7184	387	42	,	,	PUNCT
ejpam-7184	387	43	δ	δ	PROPN
ejpam-7184	387	44	=	=	PUNCT
ejpam-7184	387	45	0.8	0.8	NUM
ejpam-7184	387	46	,	,	PUNCT
ejpam-7184	387	47	θ	θ	PROPN
ejpam-7184	387	48	=	=	SYM
ejpam-7184	387	49	0.5	0.5	NUM
ejpam-7184	387	50	.	.	PUNCT
ejpam-7184	387	51	(	(	PUNCT
ejpam-7184	387	52	c)α	c)α	NOUN
ejpam-7184	387	53	=	=	SYM
ejpam-7184	387	54	5	5	NUM
ejpam-7184	387	55	,	,	PUNCT
ejpam-7184	387	56	λ	λ	NOUN
ejpam-7184	387	57	=	=	SYM
ejpam-7184	387	58	7	7	NUM
ejpam-7184	387	59	,	,	PUNCT
ejpam-7184	387	60	n	n	NOUN
ejpam-7184	387	61	=	=	NUM
ejpam-7184	387	62	80	80	NUM
ejpam-7184	387	63	,	,	PUNCT
ejpam-7184	387	64	r	r	NOUN
ejpam-7184	387	65	=	=	SYM
ejpam-7184	387	66	3	3	NUM
ejpam-7184	387	67	,	,	PUNCT
ejpam-7184	387	68	δ	δ	PROPN
ejpam-7184	387	69	=	=	PUNCT
ejpam-7184	387	70	0.8	0.8	NUM
ejpam-7184	387	71	,	,	PUNCT
ejpam-7184	387	72	θ	θ	X
ejpam-7184	387	73	=	=	SYM
ejpam-7184	387	74	1	1	X
ejpam-7184	387	75	.	.	PUNCT
ejpam-7184	388	1	(	(	PUNCT
ejpam-7184	388	2	d)α	d)α	ADJ
ejpam-7184	388	3	=	=	SYM
ejpam-7184	388	4	5	5	NUM
ejpam-7184	388	5	,	,	PUNCT
ejpam-7184	388	6	λ	λ	NOUN
ejpam-7184	388	7	=	=	SYM
ejpam-7184	388	8	7	7	NUM
ejpam-7184	388	9	,	,	PUNCT
ejpam-7184	388	10	n	n	NOUN
ejpam-7184	388	11	=	=	NUM
ejpam-7184	388	12	80	80	NUM
ejpam-7184	388	13	,	,	PUNCT
ejpam-7184	388	14	r	r	NOUN
ejpam-7184	388	15	=	=	SYM
ejpam-7184	388	16	30	30	NUM
ejpam-7184	388	17	,	,	PUNCT
ejpam-7184	388	18	δ	δ	PROPN
ejpam-7184	388	19	=	=	PUNCT
ejpam-7184	388	20	0.8	0.8	NUM
ejpam-7184	388	21	,	,	PUNCT
ejpam-7184	388	22	θ	θ	X
ejpam-7184	388	23	=	=	SYM
ejpam-7184	388	24	1	1	NUM
ejpam-7184	388	25	.	.	NOUN
ejpam-7184	388	26	3.1	3.1	NUM
ejpam-7184	388	27	.	.	PUNCT
ejpam-7184	389	1	saudi	saudi	PROPN
ejpam-7184	389	2	arabia	arabia	PROPN
ejpam-7184	389	3	real	real	ADJ
ejpam-7184	389	4	industrial	industrial	ADJ
ejpam-7184	389	5	data	datum	NOUN
ejpam-7184	389	6	analysis	analysis	NOUN
ejpam-7184	389	7	the	the	DET
ejpam-7184	389	8	industrial	industrial	ADJ
ejpam-7184	389	9	production	production	NOUN
ejpam-7184	389	10	index	index	NOUN
ejpam-7184	389	11	(	(	PUNCT
ejpam-7184	389	12	ipi	ipi	PROPN
ejpam-7184	389	13	)	)	PUNCT
ejpam-7184	389	14	is	be	AUX
ejpam-7184	389	15	a	a	DET
ejpam-7184	389	16	key	key	ADJ
ejpam-7184	389	17	economic	economic	ADJ
ejpam-7184	389	18	indicator	indicator	NOUN
ejpam-7184	389	19	that	that	PRON
ejpam-7184	389	20	measures	measure	VERB
ejpam-7184	389	21	the	the	DET
ejpam-7184	389	22	monthly	monthly	ADJ
ejpam-7184	389	23	output	output	NOUN
ejpam-7184	389	24	of	of	ADP
ejpam-7184	389	25	factories	factory	NOUN
ejpam-7184	389	26	,	,	PUNCT
ejpam-7184	389	27	mines	mine	NOUN
ejpam-7184	389	28	,	,	PUNCT
ejpam-7184	389	29	and	and	CCONJ
ejpam-7184	389	30	utilities	utility	NOUN
ejpam-7184	389	31	within	within	ADP
ejpam-7184	389	32	an	an	DET
ejpam-7184	389	33	economy	economy	NOUN
ejpam-7184	389	34	.	.	PUNCT
ejpam-7184	390	1	it	it	PRON
ejpam-7184	390	2	reflects	reflect	VERB
ejpam-7184	390	3	the	the	DET
ejpam-7184	390	4	real	real	ADJ
ejpam-7184	390	5	volume	volume	NOUN
ejpam-7184	390	6	of	of	ADP
ejpam-7184	390	7	industrial	industrial	ADJ
ejpam-7184	390	8	production	production	NOUN
ejpam-7184	390	9	and	and	CCONJ
ejpam-7184	390	10	provides	provide	VERB
ejpam-7184	390	11	valuable	valuable	ADJ
ejpam-7184	390	12	insights	insight	NOUN
ejpam-7184	390	13	into	into	ADP
ejpam-7184	390	14	the	the	DET
ejpam-7184	390	15	performance	performance	NOUN
ejpam-7184	390	16	of	of	ADP
ejpam-7184	390	17	m.	m.	NOUN
ejpam-7184	390	18	s.	s.	PROPN
ejpam-7184	390	19	mohamed	mohamed	PROPN
ejpam-7184	390	20	et	et	PROPN
ejpam-7184	390	21	al	al	PROPN
ejpam-7184	390	22	.	.	PUNCT
ejpam-7184	390	23	/	/	SYM
ejpam-7184	390	24	eur	eur	PROPN
ejpam-7184	390	25	.	.	PUNCT
ejpam-7184	391	1	j.	j.	PROPN
ejpam-7184	391	2	pure	pure	PROPN
ejpam-7184	391	3	appl	appl	PROPN
ejpam-7184	391	4	.	.	PROPN
ejpam-7184	391	5	math	math	PROPN
ejpam-7184	391	6	,	,	PUNCT
ejpam-7184	391	7	18	18	NUM
ejpam-7184	391	8	(	(	PUNCT
ejpam-7184	391	9	4	4	NUM
ejpam-7184	391	10	)	)	PUNCT
ejpam-7184	391	11	(	(	PUNCT
ejpam-7184	391	12	2025	2025	NUM
ejpam-7184	391	13	)	)	PUNCT
ejpam-7184	391	14	,	,	PUNCT
ejpam-7184	391	15	7184	7184	NUM
ejpam-7184	391	16	18	18	NUM
ejpam-7184	391	17	of	of	ADP
ejpam-7184	391	18	21	21	NUM
ejpam-7184	391	19	the	the	DET
ejpam-7184	391	20	industrial	industrial	ADJ
ejpam-7184	391	21	sector	sector	NOUN
ejpam-7184	391	22	,	,	PUNCT
ejpam-7184	391	23	which	which	PRON
ejpam-7184	391	24	is	be	AUX
ejpam-7184	391	25	a	a	DET
ejpam-7184	391	26	major	major	ADJ
ejpam-7184	391	27	driver	driver	NOUN
ejpam-7184	391	28	of	of	ADP
ejpam-7184	391	29	overall	overall	ADJ
ejpam-7184	391	30	economic	economic	ADJ
ejpam-7184	391	31	growth	growth	NOUN
ejpam-7184	391	32	.	.	PUNCT
ejpam-7184	392	1	a	a	DET
ejpam-7184	392	2	higher	high	ADJ
ejpam-7184	392	3	ipi	ipi	NOUN
ejpam-7184	392	4	value	value	NOUN
ejpam-7184	392	5	typically	typically	ADV
ejpam-7184	392	6	indicates	indicate	VERB
ejpam-7184	392	7	an	an	DET
ejpam-7184	392	8	expansion	expansion	NOUN
ejpam-7184	392	9	in	in	ADP
ejpam-7184	392	10	industrial	industrial	ADJ
ejpam-7184	392	11	activity	activity	NOUN
ejpam-7184	392	12	,	,	PUNCT
ejpam-7184	392	13	suggesting	suggest	VERB
ejpam-7184	392	14	that	that	SCONJ
ejpam-7184	392	15	factories	factory	NOUN
ejpam-7184	392	16	are	be	AUX
ejpam-7184	392	17	producing	produce	VERB
ejpam-7184	392	18	more	more	ADJ
ejpam-7184	392	19	goods	good	NOUN
ejpam-7184	392	20	to	to	PART
ejpam-7184	392	21	meet	meet	VERB
ejpam-7184	392	22	rising	rise	VERB
ejpam-7184	392	23	demand	demand	NOUN
ejpam-7184	392	24	,	,	PUNCT
ejpam-7184	392	25	which	which	PRON
ejpam-7184	392	26	in	in	ADP
ejpam-7184	392	27	turn	turn	NOUN
ejpam-7184	392	28	contributes	contribute	VERB
ejpam-7184	392	29	to	to	ADP
ejpam-7184	392	30	employment	employment	NOUN
ejpam-7184	392	31	and	and	CCONJ
ejpam-7184	392	32	economic	economic	ADJ
ejpam-7184	392	33	development	development	NOUN
ejpam-7184	392	34	.	.	PUNCT
ejpam-7184	393	1	conversely	conversely	ADV
ejpam-7184	393	2	,	,	PUNCT
ejpam-7184	393	3	a	a	DET
ejpam-7184	393	4	lower	low	ADJ
ejpam-7184	393	5	ipi	ipi	NOUN
ejpam-7184	393	6	value	value	NOUN
ejpam-7184	393	7	points	point	NOUN
ejpam-7184	393	8	to	to	PART
ejpam-7184	393	9	reduced	reduce	VERB
ejpam-7184	393	10	industrial	industrial	ADJ
ejpam-7184	393	11	activity	activity	NOUN
ejpam-7184	393	12	,	,	PUNCT
ejpam-7184	393	13	signaling	signal	VERB
ejpam-7184	393	14	a	a	DET
ejpam-7184	393	15	potential	potential	ADJ
ejpam-7184	393	16	slowdown	slowdown	NOUN
ejpam-7184	393	17	in	in	ADP
ejpam-7184	393	18	the	the	DET
ejpam-7184	393	19	economy	economy	NOUN
ejpam-7184	393	20	due	due	ADP
ejpam-7184	393	21	to	to	ADP
ejpam-7184	393	22	weaker	weak	ADJ
ejpam-7184	393	23	demand	demand	NOUN
ejpam-7184	393	24	or	or	CCONJ
ejpam-7184	393	25	production	production	NOUN
ejpam-7184	393	26	challenges	challenge	NOUN
ejpam-7184	393	27	.	.	PUNCT
ejpam-7184	394	1	in	in	ADP
ejpam-7184	394	2	saudi	saudi	PROPN
ejpam-7184	394	3	arabia	arabia	PROPN
ejpam-7184	394	4	,	,	PUNCT
ejpam-7184	394	5	the	the	DET
ejpam-7184	394	6	ipi	ipi	PROPN
ejpam-7184	394	7	serves	serve	VERB
ejpam-7184	394	8	as	as	ADP
ejpam-7184	394	9	an	an	DET
ejpam-7184	394	10	important	important	ADJ
ejpam-7184	394	11	measure	measure	NOUN
ejpam-7184	394	12	for	for	ADP
ejpam-7184	394	13	assessing	assess	VERB
ejpam-7184	394	14	the	the	DET
ejpam-7184	394	15	progress	progress	NOUN
ejpam-7184	394	16	of	of	ADP
ejpam-7184	394	17	the	the	DET
ejpam-7184	394	18	kingdom	kingdom	NOUN
ejpam-7184	394	19	’s	’s	PART
ejpam-7184	394	20	industrial	industrial	ADJ
ejpam-7184	394	21	diversification	diversification	NOUN
ejpam-7184	394	22	efforts	effort	NOUN
ejpam-7184	394	23	under	under	ADP
ejpam-7184	394	24	vision	vision	NOUN
ejpam-7184	394	25	2030	2030	NUM
ejpam-7184	394	26	,	,	PUNCT
ejpam-7184	394	27	particularly	particularly	ADV
ejpam-7184	394	28	in	in	ADP
ejpam-7184	394	29	sectors	sector	NOUN
ejpam-7184	394	30	such	such	ADJ
ejpam-7184	394	31	as	as	ADP
ejpam-7184	394	32	manufacturing	manufacturing	NOUN
ejpam-7184	394	33	,	,	PUNCT
ejpam-7184	394	34	mining	mining	NOUN
ejpam-7184	394	35	,	,	PUNCT
ejpam-7184	394	36	and	and	CCONJ
ejpam-7184	394	37	energy	energy	NOUN
ejpam-7184	394	38	.	.	PUNCT
ejpam-7184	395	1	the	the	DET
ejpam-7184	395	2	data	datum	NOUN
ejpam-7184	395	3	presented	present	VERB
ejpam-7184	395	4	below	below	ADV
ejpam-7184	395	5	,	,	PUNCT
ejpam-7184	395	6	obtained	obtain	VERB
ejpam-7184	395	7	from	from	ADP
ejpam-7184	395	8	the	the	DET
ejpam-7184	395	9	general	general	ADJ
ejpam-7184	395	10	authority	authority	NOUN
ejpam-7184	395	11	for	for	ADP
ejpam-7184	395	12	statistics	statistic	NOUN
ejpam-7184	395	13	https://www.stats.gov.sa/en/statistics-tabs	https://www.stats.gov.sa/en/statistics-tabs	PROPN
ejpam-7184	395	14	?	?	PUNCT
ejpam-7184	396	1	tab=436312&category=123454	tab=436312&category=123454	PRON
ejpam-7184	396	2	,	,	PUNCT
ejpam-7184	396	3	shows	show	VERB
ejpam-7184	396	4	the	the	DET
ejpam-7184	396	5	monthly	monthly	ADJ
ejpam-7184	396	6	index	index	NOUN
ejpam-7184	396	7	for	for	ADP
ejpam-7184	396	8	the	the	DET
ejpam-7184	396	9	manufacture	manufacture	NOUN
ejpam-7184	396	10	of	of	ADP
ejpam-7184	396	11	basic	basic	ADJ
ejpam-7184	396	12	metals	metal	NOUN
ejpam-7184	396	13	from	from	ADP
ejpam-7184	396	14	january	january	PROPN
ejpam-7184	396	15	2023	2023	NUM
ejpam-7184	396	16	to	to	ADP
ejpam-7184	396	17	august	august	PROPN
ejpam-7184	396	18	2025	2025	NUM
ejpam-7184	396	19	:	:	PUNCT
ejpam-7184	396	20	116.6	116.6	NUM
ejpam-7184	396	21	,	,	PUNCT
ejpam-7184	396	22	106.3	106.3	NUM
ejpam-7184	396	23	,	,	PUNCT
ejpam-7184	396	24	119.6	119.6	NUM
ejpam-7184	396	25	,	,	PUNCT
ejpam-7184	396	26	111.3	111.3	NUM
ejpam-7184	396	27	,	,	PUNCT
ejpam-7184	396	28	113.8	113.8	NUM
ejpam-7184	396	29	,	,	PUNCT
ejpam-7184	396	30	120.4	120.4	NUM
ejpam-7184	396	31	,	,	PUNCT
ejpam-7184	396	32	122.1	122.1	NUM
ejpam-7184	396	33	,	,	PUNCT
ejpam-7184	396	34	120.8	120.8	NUM
ejpam-7184	396	35	,	,	PUNCT
ejpam-7184	396	36	114.3	114.3	NUM
ejpam-7184	396	37	,	,	PUNCT
ejpam-7184	396	38	121.3	121.3	NUM
ejpam-7184	396	39	,	,	PUNCT
ejpam-7184	396	40	117.0	117.0	NUM
ejpam-7184	396	41	,	,	PUNCT
ejpam-7184	396	42	117.1	117.1	NUM
ejpam-7184	396	43	,	,	PUNCT
ejpam-7184	396	44	120.7	120.7	NUM
ejpam-7184	396	45	,	,	PUNCT
ejpam-7184	396	46	123.7	123.7	NUM
ejpam-7184	396	47	,	,	PUNCT
ejpam-7184	396	48	123.4	123.4	NUM
ejpam-7184	396	49	,	,	PUNCT
ejpam-7184	396	50	131.4	131.4	NUM
ejpam-7184	396	51	,	,	PUNCT
ejpam-7184	396	52	127.7	127.7	NUM
ejpam-7184	396	53	,	,	PUNCT
ejpam-7184	396	54	125.9	125.9	NUM
ejpam-7184	396	55	,	,	PUNCT
ejpam-7184	396	56	125.1	125.1	NUM
ejpam-7184	396	57	,	,	PUNCT
ejpam-7184	396	58	124.8	124.8	NUM
ejpam-7184	396	59	,	,	PUNCT
ejpam-7184	396	60	122.4	122.4	NUM
ejpam-7184	396	61	,	,	PUNCT
ejpam-7184	396	62	123.0	123.0	NUM
ejpam-7184	396	63	,	,	PUNCT
ejpam-7184	396	64	121.8	121.8	NUM
ejpam-7184	396	65	,	,	PUNCT
ejpam-7184	396	66	118.8	118.8	NUM
ejpam-7184	396	67	,	,	PUNCT
ejpam-7184	396	68	115.9	115.9	NUM
ejpam-7184	396	69	,	,	PUNCT
ejpam-7184	396	70	111.1	111.1	NUM
ejpam-7184	396	71	,	,	PUNCT
ejpam-7184	396	72	112.4	112.4	NUM
ejpam-7184	396	73	,	,	PUNCT
ejpam-7184	396	74	113.6	113.6	NUM
ejpam-7184	396	75	,	,	PUNCT
ejpam-7184	396	76	109.5	109.5	NUM
ejpam-7184	396	77	,	,	PUNCT
ejpam-7184	396	78	107.7	107.7	NUM
ejpam-7184	396	79	,	,	PUNCT
ejpam-7184	396	80	108.6	108.6	NUM
ejpam-7184	396	81	,	,	PUNCT
ejpam-7184	396	82	108.7	108.7	NUM
ejpam-7184	396	83	the	the	DET
ejpam-7184	396	84	weibull(β1	weibull(β1	NOUN
ejpam-7184	396	85	,	,	PUNCT
ejpam-7184	396	86	β2	β2	NOUN
ejpam-7184	396	87	)	)	PUNCT
ejpam-7184	396	88	distribution	distribution	NOUN
ejpam-7184	396	89	was	be	AUX
ejpam-7184	396	90	able	able	ADJ
ejpam-7184	396	91	to	to	PART
ejpam-7184	396	92	properly	properly	ADV
ejpam-7184	396	93	fit	fit	VERB
ejpam-7184	396	94	this	this	DET
ejpam-7184	396	95	data	datum	NOUN
ejpam-7184	396	96	set	set	VERB
ejpam-7184	396	97	with	with	ADP
ejpam-7184	396	98	parameter	parameter	NOUN
ejpam-7184	396	99	β1	β1	PROPN
ejpam-7184	396	100	=	=	PUNCT
ejpam-7184	396	101	20.6709	20.6709	NUM
ejpam-7184	396	102	and	and	CCONJ
ejpam-7184	396	103	β2	β2	NOUN
ejpam-7184	396	104	=	=	PROPN
ejpam-7184	396	105	120.993	120.993	NUM
ejpam-7184	396	106	,	,	PUNCT
ejpam-7184	396	107	which	which	PRON
ejpam-7184	396	108	a	a	DET
ejpam-7184	396	109	p	p	NOUN
ejpam-7184	396	110	-	-	PUNCT
ejpam-7184	396	111	value	value	NOUN
ejpam-7184	396	112	equal	equal	ADJ
ejpam-7184	396	113	to	to	ADP
ejpam-7184	396	114	0.971468	0.971468	NUM
ejpam-7184	396	115	.	.	PUNCT
ejpam-7184	397	1	furthermore	furthermore	ADV
ejpam-7184	397	2	,	,	PUNCT
ejpam-7184	397	3	see	see	VERB
ejpam-7184	397	4	figure	figure	NOUN
ejpam-7184	397	5	5	5	NUM
ejpam-7184	397	6	,	,	PUNCT
ejpam-7184	397	7	which	which	PRON
ejpam-7184	397	8	shows	show	VERB
ejpam-7184	397	9	the	the	DET
ejpam-7184	397	10	estimated	estimate	VERB
ejpam-7184	397	11	pdf	pdf	NOUN
ejpam-7184	397	12	and	and	CCONJ
ejpam-7184	397	13	cdf	cdf	PROPN
ejpam-7184	397	14	.	.	PUNCT
ejpam-7184	397	15	figure	figure	NOUN
ejpam-7184	397	16	5	5	NUM
ejpam-7184	397	17	:	:	PUNCT
ejpam-7184	397	18	estimated	estimate	VERB
ejpam-7184	397	19	pdf	pdf	NOUN
ejpam-7184	397	20	and	and	CCONJ
ejpam-7184	397	21	cdf	cdf	PROPN
ejpam-7184	397	22	of	of	ADP
ejpam-7184	397	23	weibull	weibull	PROPN
ejpam-7184	397	24	distribution	distribution	NOUN
ejpam-7184	397	25	for	for	ADP
ejpam-7184	397	26	data	datum	NOUN
ejpam-7184	397	27	based	base	VERB
ejpam-7184	397	28	on	on	ADP
ejpam-7184	397	29	the	the	DET
ejpam-7184	397	30	above	above	ADJ
ejpam-7184	397	31	real	real	ADJ
ejpam-7184	397	32	data	datum	NOUN
ejpam-7184	397	33	,	,	PUNCT
ejpam-7184	397	34	the	the	DET
ejpam-7184	397	35	empirical	empirical	ADJ
ejpam-7184	397	36	estimators	estimator	NOUN
ejpam-7184	397	37	for	for	ADP
ejpam-7184	397	38	crex	crex	NOUN
ejpam-7184	397	39	of	of	ADP
ejpam-7184	397	40	concomitants	concomitant	NOUN
ejpam-7184	397	41	of	of	ADP
ejpam-7184	397	42	os	os	NOUN
ejpam-7184	397	43	under	under	ADP
ejpam-7184	397	44	lai	lai	PROPN
ejpam-7184	397	45	and	and	CCONJ
ejpam-7184	397	46	xie	xie	PROPN
ejpam-7184	397	47	extensions	extension	NOUN
ejpam-7184	397	48	at	at	ADP
ejpam-7184	397	49	α	α	NOUN
ejpam-7184	397	50	=	=	SYM
ejpam-7184	397	51	4	4	NUM
ejpam-7184	397	52	,	,	PUNCT
ejpam-7184	397	53	λ	λ	NOUN
ejpam-7184	397	54	=	=	SYM
ejpam-7184	397	55	6	6	NUM
ejpam-7184	397	56	,	,	PUNCT
ejpam-7184	397	57	and	and	CCONJ
ejpam-7184	397	58	δ	δ	PROPN
ejpam-7184	397	59	=	=	NOUN
ejpam-7184	397	60	0.8	0.8	NUM
ejpam-7184	397	61	will	will	AUX
ejpam-7184	397	62	be	be	AUX
ejpam-7184	397	63	ξ1[20;32,0,1	ξ1[20;32,0,1	ADV
ejpam-7184	397	64	]	]	X
ejpam-7184	397	65	=	=	SYM
ejpam-7184	397	66	−4.06006	−4.06006	PROPN
ejpam-7184	397	67	and	and	CCONJ
ejpam-7184	397	68	ξ2[20;32,0,1	ξ2[20;32,0,1	NOUN
ejpam-7184	397	69	]	]	X
ejpam-7184	397	70	=	=	PUNCT
ejpam-7184	398	1	−4.26736	−4.26736	NOUN
ejpam-7184	398	2	.	.	PUNCT
ejpam-7184	399	1	meanwhile	meanwhile	ADV
ejpam-7184	399	2	,	,	PUNCT
ejpam-7184	399	3	the	the	DET
ejpam-7184	399	4	theoretical	theoretical	ADJ
ejpam-7184	399	5	value	value	NOUN
ejpam-7184	399	6	is	be	AUX
ejpam-7184	399	7	ξ[20;32,0,1	ξ[20;32,0,1	ADV
ejpam-7184	399	8	]	]	X
ejpam-7184	399	9	=	=	PUNCT
ejpam-7184	399	10	−56.9977	−56.9977	PROPN
ejpam-7184	399	11	.	.	PUNCT
ejpam-7184	400	1	as	as	SCONJ
ejpam-7184	400	2	we	we	PRON
ejpam-7184	400	3	can	can	AUX
ejpam-7184	400	4	see	see	VERB
ejpam-7184	400	5	from	from	ADP
ejpam-7184	400	6	the	the	DET
ejpam-7184	400	7	previous	previous	ADJ
ejpam-7184	400	8	data	datum	NOUN
ejpam-7184	400	9	,	,	PUNCT
ejpam-7184	400	10	the	the	DET
ejpam-7184	400	11	second	second	ADJ
ejpam-7184	400	12	estimator	estimator	NOUN
ejpam-7184	400	13	is	be	AUX
ejpam-7184	400	14	better	well	ADJ
ejpam-7184	400	15	in	in	ADP
ejpam-7184	400	16	representation	representation	NOUN
ejpam-7184	400	17	to	to	ADP
ejpam-7184	400	18	the	the	DET
ejpam-7184	400	19	theoretical	theoretical	ADJ
ejpam-7184	400	20	than	than	SCONJ
ejpam-7184	400	21	the	the	DET
ejpam-7184	400	22	first	first	ADJ
ejpam-7184	400	23	one	one	NOUN
ejpam-7184	400	24	is	be	AUX
ejpam-7184	400	25	.	.	PUNCT
ejpam-7184	401	1	https://www.stats.gov.sa/en/statistics-tabs?tab=436312&category=123454	https://www.stats.gov.sa/en/statistics-tabs?tab=436312&category=123454	PROPN
ejpam-7184	401	2	https://www.stats.gov.sa/en/statistics-tabs?tab=436312&category=123454	https://www.stats.gov.sa/en/statistics-tabs?tab=436312&category=123454	PROPN
ejpam-7184	401	3	m.	m.	PROPN
ejpam-7184	401	4	s.	s.	PROPN
ejpam-7184	401	5	mohamed	mohamed	PROPN
ejpam-7184	401	6	et	et	PROPN
ejpam-7184	401	7	al	al	PROPN
ejpam-7184	401	8	.	.	PUNCT
ejpam-7184	401	9	/	/	SYM
ejpam-7184	401	10	eur	eur	PROPN
ejpam-7184	401	11	.	.	PUNCT
ejpam-7184	402	1	j.	j.	PROPN
ejpam-7184	402	2	pure	pure	PROPN
ejpam-7184	402	3	appl	appl	PROPN
ejpam-7184	402	4	.	.	PROPN
ejpam-7184	402	5	math	math	PROPN
ejpam-7184	402	6	,	,	PUNCT
ejpam-7184	402	7	18	18	NUM
ejpam-7184	402	8	(	(	PUNCT
ejpam-7184	402	9	4	4	NUM
ejpam-7184	402	10	)	)	PUNCT
ejpam-7184	402	11	(	(	PUNCT
ejpam-7184	402	12	2025	2025	NUM
ejpam-7184	402	13	)	)	PUNCT
ejpam-7184	402	14	,	,	PUNCT
ejpam-7184	402	15	7184	7184	NUM
ejpam-7184	402	16	19	19	NUM
ejpam-7184	402	17	of	of	ADP
ejpam-7184	402	18	21	21	NUM
ejpam-7184	402	19	4	4	NUM
ejpam-7184	402	20	.	.	PUNCT
ejpam-7184	403	1	conclusions	conclusion	NOUN
ejpam-7184	403	2	in	in	ADP
ejpam-7184	403	3	this	this	DET
ejpam-7184	403	4	work	work	NOUN
ejpam-7184	403	5	,	,	PUNCT
ejpam-7184	403	6	we	we	PRON
ejpam-7184	403	7	have	have	AUX
ejpam-7184	403	8	investigated	investigate	VERB
ejpam-7184	403	9	several	several	ADJ
ejpam-7184	403	10	measures	measure	NOUN
ejpam-7184	403	11	of	of	ADP
ejpam-7184	403	12	extropy	extropy	NOUN
ejpam-7184	403	13	,	,	PUNCT
ejpam-7184	403	14	including	include	VERB
ejpam-7184	403	15	residual	residual	ADJ
ejpam-7184	403	16	and	and	CCONJ
ejpam-7184	403	17	past	past	ADJ
ejpam-7184	403	18	extropy	extropy	NOUN
ejpam-7184	403	19	,	,	PUNCT
ejpam-7184	403	20	crex	crex	NOUN
ejpam-7184	403	21	,	,	PUNCT
ejpam-7184	403	22	and	and	CCONJ
ejpam-7184	403	23	ncex	ncex	VERB
ejpam-7184	403	24	,	,	PUNCT
ejpam-7184	403	25	in	in	ADP
ejpam-7184	403	26	the	the	DET
ejpam-7184	403	27	context	context	NOUN
ejpam-7184	403	28	of	of	ADP
ejpam-7184	403	29	the	the	DET
ejpam-7184	403	30	concomitant	concomitant	NOUN
ejpam-7184	403	31	of	of	ADP
ejpam-7184	403	32	w	w	NOUN
ejpam-7184	403	33	-	-	PUNCT
ejpam-7184	403	34	gos	go	NOUN
ejpam-7184	403	35	based	base	VERB
ejpam-7184	403	36	on	on	ADP
ejpam-7184	403	37	the	the	DET
ejpam-7184	403	38	extensions	extension	NOUN
ejpam-7184	403	39	of	of	ADP
ejpam-7184	403	40	lai	lai	PROPN
ejpam-7184	403	41	and	and	CCONJ
ejpam-7184	403	42	xie	xie	PROPN
ejpam-7184	403	43	.	.	PUNCT
ejpam-7184	404	1	a	a	DET
ejpam-7184	404	2	number	number	NOUN
ejpam-7184	404	3	of	of	ADP
ejpam-7184	404	4	new	new	ADJ
ejpam-7184	404	5	properties	property	NOUN
ejpam-7184	404	6	of	of	ADP
ejpam-7184	404	7	extropy	extropy	ADV
ejpam-7184	404	8	related	relate	VERB
ejpam-7184	404	9	to	to	ADP
ejpam-7184	404	10	record	record	NOUN
ejpam-7184	404	11	values	value	NOUN
ejpam-7184	404	12	and	and	CCONJ
ejpam-7184	404	13	order	order	NOUN
ejpam-7184	404	14	statistics	statistic	NOUN
ejpam-7184	404	15	were	be	AUX
ejpam-7184	404	16	derived	derive	VERB
ejpam-7184	404	17	and	and	CCONJ
ejpam-7184	404	18	discussed	discuss	VERB
ejpam-7184	404	19	.	.	PUNCT
ejpam-7184	405	1	in	in	ADP
ejpam-7184	405	2	addition	addition	NOUN
ejpam-7184	405	3	,	,	PUNCT
ejpam-7184	405	4	empirical	empirical	ADJ
ejpam-7184	405	5	estimation	estimation	NOUN
ejpam-7184	405	6	techniques	technique	NOUN
ejpam-7184	405	7	were	be	AUX
ejpam-7184	405	8	employed	employ	VERB
ejpam-7184	405	9	to	to	PART
ejpam-7184	405	10	estimate	estimate	VERB
ejpam-7184	405	11	crex	crex	NOUN
ejpam-7184	405	12	,	,	PUNCT
ejpam-7184	405	13	and	and	CCONJ
ejpam-7184	405	14	the	the	DET
ejpam-7184	405	15	performance	performance	NOUN
ejpam-7184	405	16	of	of	ADP
ejpam-7184	405	17	the	the	DET
ejpam-7184	405	18	proposed	propose	VERB
ejpam-7184	405	19	estimators	estimator	NOUN
ejpam-7184	405	20	was	be	AUX
ejpam-7184	405	21	assessed	assess	VERB
ejpam-7184	405	22	through	through	ADP
ejpam-7184	405	23	both	both	DET
ejpam-7184	405	24	numerical	numerical	ADJ
ejpam-7184	405	25	illustrations	illustration	NOUN
ejpam-7184	405	26	for	for	ADP
ejpam-7184	405	27	the	the	DET
ejpam-7184	405	28	exponential	exponential	ADJ
ejpam-7184	405	29	distribution	distribution	NOUN
ejpam-7184	405	30	exp	exp	NOUN
ejpam-7184	405	31	(	(	PUNCT
ejpam-7184	405	32	θ	θ	NOUN
ejpam-7184	405	33	)	)	PUNCT
ejpam-7184	405	34	and	and	CCONJ
ejpam-7184	405	35	simulation	simulation	NOUN
ejpam-7184	405	36	studies	study	NOUN
ejpam-7184	405	37	.	.	PUNCT
ejpam-7184	406	1	the	the	DET
ejpam-7184	406	2	simulation	simulation	NOUN
ejpam-7184	406	3	results	result	NOUN
ejpam-7184	406	4	demonstrate	demonstrate	VERB
ejpam-7184	406	5	that	that	SCONJ
ejpam-7184	406	6	the	the	DET
ejpam-7184	406	7	empirical	empirical	ADJ
ejpam-7184	406	8	estimators	estimator	NOUN
ejpam-7184	406	9	converge	converge	VERB
ejpam-7184	406	10	toward	toward	ADP
ejpam-7184	406	11	the	the	DET
ejpam-7184	406	12	theoretical	theoretical	ADJ
ejpam-7184	406	13	values	value	NOUN
ejpam-7184	406	14	as	as	ADP
ejpam-7184	406	15	both	both	DET
ejpam-7184	406	16	r	r	NOUN
ejpam-7184	406	17	and	and	CCONJ
ejpam-7184	406	18	θ	θ	NOUN
ejpam-7184	406	19	increase	increase	NOUN
ejpam-7184	406	20	.	.	PUNCT
ejpam-7184	407	1	moreover	moreover	ADV
ejpam-7184	407	2	,	,	PUNCT
ejpam-7184	407	3	the	the	DET
ejpam-7184	407	4	application	application	NOUN
ejpam-7184	407	5	to	to	ADP
ejpam-7184	407	6	real	real	ADJ
ejpam-7184	407	7	-	-	PUNCT
ejpam-7184	407	8	life	life	NOUN
ejpam-7184	407	9	data	datum	NOUN
ejpam-7184	407	10	,	,	PUNCT
ejpam-7184	407	11	originally	originally	ADV
ejpam-7184	407	12	considered	consider	VERB
ejpam-7184	407	13	in	in	ADP
ejpam-7184	407	14	the	the	DET
ejpam-7184	407	15	lai	lai	PROPN
ejpam-7184	407	16	and	and	CCONJ
ejpam-7184	407	17	xie	xie	PROPN
ejpam-7184	407	18	framework	framework	PROPN
ejpam-7184	407	19	,	,	PUNCT
ejpam-7184	407	20	provided	provide	VERB
ejpam-7184	407	21	further	further	ADJ
ejpam-7184	407	22	evidence	evidence	NOUN
ejpam-7184	407	23	of	of	ADP
ejpam-7184	407	24	the	the	DET
ejpam-7184	407	25	practical	practical	ADJ
ejpam-7184	407	26	relevance	relevance	NOUN
ejpam-7184	407	27	of	of	ADP
ejpam-7184	407	28	the	the	DET
ejpam-7184	407	29	proposed	propose	VERB
ejpam-7184	407	30	methodology	methodology	NOUN
ejpam-7184	407	31	.	.	PUNCT
ejpam-7184	408	1	in	in	ADP
ejpam-7184	408	2	particular	particular	ADJ
ejpam-7184	408	3	,	,	PUNCT
ejpam-7184	408	4	the	the	DET
ejpam-7184	408	5	non	non	ADJ
ejpam-7184	408	6	-	-	ADJ
ejpam-7184	408	7	parametric	parametric	ADJ
ejpam-7184	408	8	estimation	estimation	NOUN
ejpam-7184	408	9	of	of	ADP
ejpam-7184	408	10	crex	crex	NOUN
ejpam-7184	408	11	for	for	ADP
ejpam-7184	408	12	w	w	NOUN
ejpam-7184	408	13	-	-	PUNCT
ejpam-7184	408	14	gos	go	NOUN
ejpam-7184	408	15	concomitants	concomitant	NOUN
ejpam-7184	408	16	showed	show	VERB
ejpam-7184	408	17	that	that	SCONJ
ejpam-7184	408	18	the	the	DET
ejpam-7184	408	19	kernel	kernel	NOUN
ejpam-7184	408	20	-	-	PUNCT
ejpam-7184	408	21	smoothed	smooth	VERB
ejpam-7184	408	22	estimator	estimator	NOUN
ejpam-7184	408	23	,	,	PUNCT
ejpam-7184	408	24	corresponding	correspond	VERB
ejpam-7184	408	25	to	to	ADP
ejpam-7184	408	26	the	the	DET
ejpam-7184	408	27	second	second	ADJ
ejpam-7184	408	28	empirical	empirical	ADJ
ejpam-7184	408	29	estimator	estimator	NOUN
ejpam-7184	408	30	,	,	PUNCT
ejpam-7184	408	31	consistently	consistently	ADV
ejpam-7184	408	32	outperformed	outperform	VERB
ejpam-7184	408	33	alternatives	alternative	NOUN
ejpam-7184	408	34	across	across	ADP
ejpam-7184	408	35	all	all	DET
ejpam-7184	408	36	values	value	NOUN
ejpam-7184	408	37	of	of	ADP
ejpam-7184	408	38	n	n	PROPN
ejpam-7184	408	39	and	and	CCONJ
ejpam-7184	408	40	r.	r.	PROPN
ejpam-7184	408	41	furthermore	furthermore	ADV
ejpam-7184	408	42	,	,	PUNCT
ejpam-7184	408	43	the	the	DET
ejpam-7184	408	44	results	result	NOUN
ejpam-7184	408	45	revealed	reveal	VERB
ejpam-7184	408	46	that	that	SCONJ
ejpam-7184	408	47	the	the	DET
ejpam-7184	408	48	mean	mean	ADJ
ejpam-7184	408	49	squared	square	VERB
ejpam-7184	408	50	error	error	NOUN
ejpam-7184	408	51	decreases	decrease	NOUN
ejpam-7184	408	52	as	as	ADP
ejpam-7184	408	53	the	the	DET
ejpam-7184	408	54	sample	sample	NOUN
ejpam-7184	408	55	size	size	NOUN
ejpam-7184	408	56	n	n	PROPN
ejpam-7184	408	57	and	and	CCONJ
ejpam-7184	408	58	the	the	DET
ejpam-7184	408	59	order	order	NOUN
ejpam-7184	408	60	r	r	NOUN
ejpam-7184	408	61	increase	increase	NOUN
ejpam-7184	408	62	,	,	PUNCT
ejpam-7184	408	63	confirming	confirm	VERB
ejpam-7184	408	64	the	the	DET
ejpam-7184	408	65	efficiency	efficiency	NOUN
ejpam-7184	408	66	of	of	ADP
ejpam-7184	408	67	the	the	DET
ejpam-7184	408	68	estimators	estimator	NOUN
ejpam-7184	408	69	.	.	PUNCT
ejpam-7184	409	1	overall	overall	ADV
ejpam-7184	409	2	,	,	PUNCT
ejpam-7184	409	3	the	the	DET
ejpam-7184	409	4	findings	finding	NOUN
ejpam-7184	409	5	of	of	ADP
ejpam-7184	409	6	this	this	DET
ejpam-7184	409	7	study	study	NOUN
ejpam-7184	409	8	enrich	enrich	VERB
ejpam-7184	409	9	the	the	DET
ejpam-7184	409	10	theoretical	theoretical	ADJ
ejpam-7184	409	11	understanding	understanding	NOUN
ejpam-7184	409	12	of	of	ADP
ejpam-7184	409	13	extropyrelated	extropyrelate	VERB
ejpam-7184	409	14	measures	measure	NOUN
ejpam-7184	409	15	within	within	ADP
ejpam-7184	409	16	generalized	generalized	ADJ
ejpam-7184	409	17	order	order	NOUN
ejpam-7184	409	18	statistics	statistic	NOUN
ejpam-7184	409	19	and	and	CCONJ
ejpam-7184	409	20	highlight	highlight	VERB
ejpam-7184	409	21	their	their	PRON
ejpam-7184	409	22	potential	potential	ADJ
ejpam-7184	409	23	applicability	applicability	NOUN
ejpam-7184	409	24	in	in	ADP
ejpam-7184	409	25	practical	practical	ADJ
ejpam-7184	409	26	data	datum	NOUN
ejpam-7184	409	27	analysis	analysis	NOUN
ejpam-7184	409	28	.	.	PUNCT
ejpam-7184	410	1	future	future	ADJ
ejpam-7184	410	2	work	work	NOUN
ejpam-7184	410	3	may	may	AUX
ejpam-7184	410	4	focus	focus	VERB
ejpam-7184	410	5	on	on	ADP
ejpam-7184	410	6	extending	extend	VERB
ejpam-7184	410	7	these	these	DET
ejpam-7184	410	8	concepts	concept	NOUN
ejpam-7184	410	9	to	to	ADP
ejpam-7184	410	10	broader	broad	ADJ
ejpam-7184	410	11	distributional	distributional	ADJ
ejpam-7184	410	12	families	family	NOUN
ejpam-7184	410	13	,	,	PUNCT
ejpam-7184	410	14	exploring	explore	VERB
ejpam-7184	410	15	their	their	PRON
ejpam-7184	410	16	connections	connection	NOUN
ejpam-7184	410	17	with	with	ADP
ejpam-7184	410	18	other	other	ADJ
ejpam-7184	410	19	informationtheoretic	informationtheoretic	ADJ
ejpam-7184	410	20	measures	measure	NOUN
ejpam-7184	410	21	,	,	PUNCT
ejpam-7184	410	22	and	and	CCONJ
ejpam-7184	410	23	developing	develop	VERB
ejpam-7184	410	24	further	further	ADJ
ejpam-7184	410	25	applications	application	NOUN
ejpam-7184	410	26	in	in	ADP
ejpam-7184	410	27	reliability	reliability	NOUN
ejpam-7184	410	28	analysis	analysis	NOUN
ejpam-7184	410	29	,	,	PUNCT
ejpam-7184	410	30	survival	survival	NOUN
ejpam-7184	410	31	studies	study	NOUN
ejpam-7184	410	32	,	,	PUNCT
ejpam-7184	410	33	and	and	CCONJ
ejpam-7184	410	34	statistical	statistical	ADJ
ejpam-7184	410	35	modeling	modeling	NOUN
ejpam-7184	410	36	.	.	PUNCT
ejpam-7184	411	1	acknowledgements	acknowledgement	NOUN
ejpam-7184	411	2	the	the	DET
ejpam-7184	411	3	authors	author	NOUN
ejpam-7184	411	4	extend	extend	VERB
ejpam-7184	411	5	their	their	PRON
ejpam-7184	411	6	appreciation	appreciation	NOUN
ejpam-7184	411	7	to	to	ADP
ejpam-7184	411	8	prince	prince	PROPN
ejpam-7184	411	9	sattam	sattam	PROPN
ejpam-7184	411	10	bin	bin	PROPN
ejpam-7184	411	11	abdulaziz	abdulaziz	PROPN
ejpam-7184	411	12	university	university	PROPN
ejpam-7184	411	13	for	for	ADP
ejpam-7184	411	14	funding	fund	VERB
ejpam-7184	411	15	this	this	DET
ejpam-7184	411	16	research	research	NOUN
ejpam-7184	411	17	work	work	NOUN
ejpam-7184	411	18	through	through	ADP
ejpam-7184	411	19	the	the	DET
ejpam-7184	411	20	project	project	NOUN
ejpam-7184	411	21	number	number	NOUN
ejpam-7184	411	22	(	(	PUNCT
ejpam-7184	411	23	psau/2025/02/32732	psau/2025/02/32732	NOUN
ejpam-7184	411	24	)	)	PUNCT
ejpam-7184	411	25	author	author	NOUN
ejpam-7184	411	26	contributions	contribution	NOUN
ejpam-7184	411	27	each	each	DET
ejpam-7184	411	28	author	author	NOUN
ejpam-7184	411	29	contributed	contribute	VERB
ejpam-7184	411	30	equally	equally	ADV
ejpam-7184	411	31	to	to	ADP
ejpam-7184	411	32	the	the	DET
ejpam-7184	411	33	study	study	NOUN
ejpam-7184	411	34	’s	’s	PART
ejpam-7184	411	35	inception	inception	NOUN
ejpam-7184	411	36	and	and	CCONJ
ejpam-7184	411	37	design	design	NOUN
ejpam-7184	411	38	.	.	PUNCT
ejpam-7184	412	1	competing	compete	VERB
ejpam-7184	412	2	interests	interest	NOUN
ejpam-7184	412	3	the	the	DET
ejpam-7184	412	4	writers	writer	NOUN
ejpam-7184	412	5	are	be	AUX
ejpam-7184	412	6	not	not	PART
ejpam-7184	412	7	required	require	VERB
ejpam-7184	412	8	to	to	PART
ejpam-7184	412	9	disclose	disclose	VERB
ejpam-7184	412	10	any	any	DET
ejpam-7184	412	11	relevant	relevant	ADJ
ejpam-7184	412	12	financial	financial	ADJ
ejpam-7184	412	13	or	or	CCONJ
ejpam-7184	412	14	non	non	ADJ
ejpam-7184	412	15	-	-	ADJ
ejpam-7184	412	16	financial	financial	ADJ
ejpam-7184	412	17	interests	interest	NOUN
ejpam-7184	412	18	.	.	PUNCT
ejpam-7184	413	1	m.	m.	PROPN
ejpam-7184	413	2	s.	s.	PROPN
ejpam-7184	413	3	mohamed	mohamed	PROPN
ejpam-7184	413	4	et	et	PROPN
ejpam-7184	413	5	al	al	PROPN
ejpam-7184	413	6	.	.	PUNCT
ejpam-7184	413	7	/	/	SYM
ejpam-7184	413	8	eur	eur	PROPN
ejpam-7184	413	9	.	.	PUNCT
ejpam-7184	414	1	j.	j.	PROPN
ejpam-7184	414	2	pure	pure	PROPN
ejpam-7184	414	3	appl	appl	PROPN
ejpam-7184	414	4	.	.	PROPN
ejpam-7184	414	5	math	math	PROPN
ejpam-7184	414	6	,	,	PUNCT
ejpam-7184	414	7	18	18	NUM
ejpam-7184	414	8	(	(	PUNCT
ejpam-7184	414	9	4	4	NUM
ejpam-7184	414	10	)	)	PUNCT
ejpam-7184	414	11	(	(	PUNCT
ejpam-7184	414	12	2025	2025	NUM
ejpam-7184	414	13	)	)	PUNCT
ejpam-7184	414	14	,	,	PUNCT
ejpam-7184	414	15	7184	7184	NUM
ejpam-7184	414	16	20	20	NUM
ejpam-7184	414	17	of	of	ADP
ejpam-7184	414	18	21	21	NUM
ejpam-7184	414	19	ethics	ethic	NOUN
ejpam-7184	414	20	approval	approval	NOUN
ejpam-7184	414	21	the	the	DET
ejpam-7184	414	22	authors	author	NOUN
ejpam-7184	414	23	approve	approve	VERB
ejpam-7184	414	24	of	of	ADP
ejpam-7184	414	25	all	all	DET
ejpam-7184	414	26	the	the	DET
ejpam-7184	414	27	ethical	ethical	ADJ
ejpam-7184	414	28	issues	issue	NOUN
ejpam-7184	414	29	.	.	PUNCT
ejpam-7184	415	1	data	datum	NOUN
ejpam-7184	415	2	availability	availability	NOUN
ejpam-7184	415	3	the	the	DET
ejpam-7184	415	4	article	article	NOUN
ejpam-7184	415	5	contains	contain	VERB
ejpam-7184	415	6	the	the	DET
ejpam-7184	415	7	datasets	dataset	NOUN
ejpam-7184	415	8	created	create	VERB
ejpam-7184	415	9	and/or	and/or	CCONJ
ejpam-7184	415	10	analyzed	analyze	VERB
ejpam-7184	415	11	during	during	ADP
ejpam-7184	415	12	the	the	DET
ejpam-7184	415	13	present	present	ADJ
ejpam-7184	415	14	investigation	investigation	NOUN
ejpam-7184	415	15	.	.	PUNCT
ejpam-7184	416	1	declarative	declarative	ADJ
ejpam-7184	416	2	use	use	NOUN
ejpam-7184	416	3	of	of	ADP
ejpam-7184	416	4	ai	ai	ADJ
ejpam-7184	416	5	techniques	technique	NOUN
ejpam-7184	416	6	the	the	DET
ejpam-7184	416	7	authors	author	NOUN
ejpam-7184	416	8	confirm	confirm	VERB
ejpam-7184	416	9	that	that	SCONJ
ejpam-7184	416	10	ai	ai	VERB
ejpam-7184	416	11	tools	tool	NOUN
ejpam-7184	416	12	were	be	AUX
ejpam-7184	416	13	not	not	PART
ejpam-7184	416	14	utilized	utilize	VERB
ejpam-7184	416	15	in	in	ADP
ejpam-7184	416	16	crafting	craft	VERB
ejpam-7184	416	17	this	this	DET
ejpam-7184	416	18	article	article	NOUN
ejpam-7184	416	19	.	.	PUNCT
ejpam-7184	417	1	conflict	conflict	NOUN
ejpam-7184	417	2	of	of	ADP
ejpam-7184	417	3	interest	interest	NOUN
ejpam-7184	417	4	the	the	DET
ejpam-7184	417	5	authors	author	NOUN
ejpam-7184	417	6	confirm	confirm	VERB
ejpam-7184	417	7	the	the	DET
ejpam-7184	417	8	lack	lack	NOUN
ejpam-7184	417	9	of	of	ADP
ejpam-7184	417	10	any	any	DET
ejpam-7184	417	11	conflict	conflict	NOUN
ejpam-7184	417	12	of	of	ADP
ejpam-7184	417	13	interest	interest	NOUN
ejpam-7184	417	14	.	.	PUNCT
ejpam-7184	418	1	references	reference	NOUN
ejpam-7184	418	2	[	[	X
ejpam-7184	418	3	1	1	NUM
ejpam-7184	418	4	]	]	PUNCT
ejpam-7184	418	5	c.	c.	PROPN
ejpam-7184	418	6	e.	e.	PROPN
ejpam-7184	418	7	shannon	shannon	PROPN
ejpam-7184	418	8	.	.	PUNCT
ejpam-7184	419	1	a	a	DET
ejpam-7184	419	2	mathematical	mathematical	ADJ
ejpam-7184	419	3	theory	theory	NOUN
ejpam-7184	419	4	of	of	ADP
ejpam-7184	419	5	communication	communication	NOUN
ejpam-7184	419	6	.	.	PUNCT
ejpam-7184	420	1	the	the	DET
ejpam-7184	420	2	bell	bell	PROPN
ejpam-7184	420	3	system	system	PROPN
ejpam-7184	420	4	technical	technical	ADJ
ejpam-7184	420	5	journal	journal	NOUN
ejpam-7184	420	6	,	,	PUNCT
ejpam-7184	420	7	27(3):379–423	27(3):379–423	PROPN
ejpam-7184	420	8	,	,	PUNCT
ejpam-7184	420	9	1948	1948	NUM
ejpam-7184	420	10	.	.	PUNCT
ejpam-7184	421	1	[	[	X
ejpam-7184	421	2	2	2	NUM
ejpam-7184	421	3	]	]	X
ejpam-7184	421	4	f.	f.	PROPN
ejpam-7184	421	5	lad	lad	PROPN
ejpam-7184	421	6	,	,	PUNCT
ejpam-7184	421	7	g.	g.	PROPN
ejpam-7184	421	8	sanfilippo	sanfilippo	PROPN
ejpam-7184	421	9	,	,	PUNCT
ejpam-7184	421	10	and	and	CCONJ
ejpam-7184	421	11	g.	g.	PROPN
ejpam-7184	421	12	agro	agro	PROPN
ejpam-7184	421	13	.	.	PUNCT
ejpam-7184	422	1	extropy	extropy	NOUN
ejpam-7184	422	2	:	:	PUNCT
ejpam-7184	422	3	complementary	complementary	ADJ
ejpam-7184	422	4	dual	dual	ADV
ejpam-7184	422	5	of	of	ADP
ejpam-7184	422	6	entropy	entropy	PROPN
ejpam-7184	422	7	.	.	PUNCT
ejpam-7184	423	1	statistical	statistical	ADJ
ejpam-7184	423	2	science	science	NOUN
ejpam-7184	423	3	,	,	PUNCT
ejpam-7184	423	4	pages	page	NOUN
ejpam-7184	423	5	40–58	40–58	NUM
ejpam-7184	423	6	,	,	PUNCT
ejpam-7184	423	7	2015	2015	NUM
ejpam-7184	423	8	.	.	PUNCT
ejpam-7184	424	1	[	[	X
ejpam-7184	424	2	3	3	X
ejpam-7184	424	3	]	]	X
ejpam-7184	424	4	g.	g.	PROPN
ejpam-7184	424	5	qiu	qiu	PROPN
ejpam-7184	424	6	.	.	PUNCT
ejpam-7184	425	1	the	the	DET
ejpam-7184	425	2	extropy	extropy	NOUN
ejpam-7184	425	3	of	of	ADP
ejpam-7184	425	4	order	order	NOUN
ejpam-7184	425	5	statistics	statistic	NOUN
ejpam-7184	425	6	and	and	CCONJ
ejpam-7184	425	7	record	record	NOUN
ejpam-7184	425	8	values	value	NOUN
ejpam-7184	425	9	.	.	PUNCT
ejpam-7184	426	1	statistics	statistic	NOUN
ejpam-7184	426	2	and	and	CCONJ
ejpam-7184	426	3	probability	probability	NOUN
ejpam-7184	426	4	letters	letter	NOUN
ejpam-7184	426	5	,	,	PUNCT
ejpam-7184	426	6	120:52–60	120:52–60	NUM
ejpam-7184	426	7	,	,	PUNCT
ejpam-7184	426	8	2017	2017	NUM
ejpam-7184	426	9	.	.	PUNCT
ejpam-7184	427	1	[	[	X
ejpam-7184	427	2	4	4	X
ejpam-7184	427	3	]	]	X
ejpam-7184	427	4	g.	g.	PROPN
ejpam-7184	427	5	qiu	qiu	PROPN
ejpam-7184	427	6	,	,	PUNCT
ejpam-7184	427	7	l.	l.	PROPN
ejpam-7184	427	8	wang	wang	PROPN
ejpam-7184	427	9	,	,	PUNCT
ejpam-7184	427	10	and	and	CCONJ
ejpam-7184	427	11	x.	x.	PROPN
ejpam-7184	427	12	wang	wang	PROPN
ejpam-7184	427	13	.	.	PUNCT
ejpam-7184	428	1	on	on	ADP
ejpam-7184	428	2	extropy	extropy	NOUN
ejpam-7184	428	3	properties	property	NOUN
ejpam-7184	428	4	of	of	ADP
ejpam-7184	428	5	mixed	mixed	ADJ
ejpam-7184	428	6	systems	system	NOUN
ejpam-7184	428	7	.	.	PUNCT
ejpam-7184	429	1	probability	probability	NOUN
ejpam-7184	429	2	in	in	ADP
ejpam-7184	429	3	the	the	DET
ejpam-7184	429	4	engineering	engineering	NOUN
ejpam-7184	429	5	and	and	CCONJ
ejpam-7184	429	6	informational	informational	ADJ
ejpam-7184	429	7	sciences	science	NOUN
ejpam-7184	429	8	,	,	PUNCT
ejpam-7184	429	9	33(3):471–486	33(3):471–486	NUM
ejpam-7184	429	10	,	,	PUNCT
ejpam-7184	429	11	2019	2019	NUM
ejpam-7184	429	12	.	.	PUNCT
ejpam-7184	430	1	[	[	X
ejpam-7184	430	2	5	5	X
ejpam-7184	430	3	]	]	PUNCT
ejpam-7184	430	4	j.	j.	PROPN
ejpam-7184	430	5	yang	yang	PROPN
ejpam-7184	430	6	,	,	PUNCT
ejpam-7184	430	7	w.	w.	PROPN
ejpam-7184	430	8	xia	xia	PROPN
ejpam-7184	430	9	,	,	PUNCT
ejpam-7184	430	10	and	and	CCONJ
ejpam-7184	430	11	t.	t.	PROPN
ejpam-7184	430	12	hu	hu	PROPN
ejpam-7184	430	13	.	.	PROPN
ejpam-7184	430	14	bounds	bound	VERB
ejpam-7184	430	15	on	on	ADP
ejpam-7184	430	16	extropy	extropy	NOUN
ejpam-7184	430	17	with	with	ADP
ejpam-7184	430	18	variational	variational	ADJ
ejpam-7184	430	19	distance	distance	NOUN
ejpam-7184	430	20	constraint	constraint	NOUN
ejpam-7184	430	21	.	.	PUNCT
ejpam-7184	431	1	probability	probability	NOUN
ejpam-7184	431	2	in	in	ADP
ejpam-7184	431	3	the	the	DET
ejpam-7184	431	4	engineering	engineering	NOUN
ejpam-7184	431	5	and	and	CCONJ
ejpam-7184	431	6	informational	informational	ADJ
ejpam-7184	431	7	sciences	science	NOUN
ejpam-7184	431	8	,	,	PUNCT
ejpam-7184	431	9	33(2):186–204	33(2):186–204	PROPN
ejpam-7184	431	10	,	,	PUNCT
ejpam-7184	431	11	2019	2019	NUM
ejpam-7184	431	12	.	.	PUNCT
ejpam-7184	432	1	[	[	X
ejpam-7184	432	2	6	6	NUM
ejpam-7184	432	3	]	]	PUNCT
ejpam-7184	432	4	h.	h.	PROPN
ejpam-7184	432	5	alizadeh	alizadeh	PROPN
ejpam-7184	432	6	noughabi	noughabi	PROPN
ejpam-7184	432	7	and	and	CCONJ
ejpam-7184	432	8	j.	j.	PROPN
ejpam-7184	432	9	jarrahiferiz	jarrahiferiz	PROPN
ejpam-7184	432	10	.	.	PUNCT
ejpam-7184	433	1	on	on	ADP
ejpam-7184	433	2	the	the	DET
ejpam-7184	433	3	estimation	estimation	NOUN
ejpam-7184	433	4	of	of	ADP
ejpam-7184	433	5	extropy	extropy	NOUN
ejpam-7184	433	6	.	.	PUNCT
ejpam-7184	434	1	journal	journal	PROPN
ejpam-7184	434	2	of	of	ADP
ejpam-7184	434	3	non	non	ADJ
ejpam-7184	434	4	-	-	ADJ
ejpam-7184	434	5	parametric	parametric	ADJ
ejpam-7184	434	6	statistics	statistic	NOUN
ejpam-7184	434	7	,	,	PUNCT
ejpam-7184	434	8	31(1):88–99	31(1):88–99	NUM
ejpam-7184	434	9	,	,	PUNCT
ejpam-7184	434	10	2019	2019	NUM
ejpam-7184	434	11	.	.	PUNCT
ejpam-7184	435	1	[	[	X
ejpam-7184	435	2	7	7	X
ejpam-7184	435	3	]	]	PUNCT
ejpam-7184	435	4	m.	m.	NOUN
ejpam-7184	435	5	z.	z.	PROPN
ejpam-7184	435	6	raqab	raqab	PROPN
ejpam-7184	435	7	and	and	CCONJ
ejpam-7184	435	8	g.	g.	PROPN
ejpam-7184	435	9	qiu	qiu	PROPN
ejpam-7184	435	10	.	.	PUNCT
ejpam-7184	436	1	on	on	ADP
ejpam-7184	436	2	extropy	extropy	NOUN
ejpam-7184	436	3	properties	property	NOUN
ejpam-7184	436	4	of	of	ADP
ejpam-7184	436	5	ranked	rank	VERB
ejpam-7184	436	6	set	set	ADJ
ejpam-7184	436	7	sampling	sampling	NOUN
ejpam-7184	436	8	.	.	PUNCT
ejpam-7184	437	1	statistics	statistic	NOUN
ejpam-7184	437	2	,	,	PUNCT
ejpam-7184	437	3	53(1):210–226	53(1):210–226	PROPN
ejpam-7184	437	4	,	,	PUNCT
ejpam-7184	437	5	2019	2019	NUM
ejpam-7184	437	6	.	.	PUNCT
ejpam-7184	438	1	[	[	X
ejpam-7184	438	2	8	8	NUM
ejpam-7184	438	3	]	]	X
ejpam-7184	438	4	f.	f.	PROPN
ejpam-7184	438	5	lad	lad	PROPN
ejpam-7184	438	6	,	,	PUNCT
ejpam-7184	438	7	g.	g.	PROPN
ejpam-7184	438	8	sanfilippo	sanfilippo	PROPN
ejpam-7184	438	9	,	,	PUNCT
ejpam-7184	438	10	and	and	CCONJ
ejpam-7184	438	11	g.	g.	PROPN
ejpam-7184	438	12	agrò.	agrò.	PUNCT
ejpam-7184	439	1	the	the	DET
ejpam-7184	439	2	duality	duality	NOUN
ejpam-7184	439	3	of	of	ADP
ejpam-7184	439	4	entropy	entropy	PROPN
ejpam-7184	439	5	/	/	SYM
ejpam-7184	439	6	extropy	extropy	NOUN
ejpam-7184	439	7	,	,	PUNCT
ejpam-7184	439	8	and	and	CCONJ
ejpam-7184	439	9	completion	completion	NOUN
ejpam-7184	439	10	of	of	ADP
ejpam-7184	439	11	the	the	DET
ejpam-7184	439	12	kullback	kullback	PROPN
ejpam-7184	439	13	information	information	NOUN
ejpam-7184	439	14	complex	complex	NOUN
ejpam-7184	439	15	.	.	PUNCT
ejpam-7184	440	1	entropy	entropy	PROPN
ejpam-7184	440	2	,	,	PUNCT
ejpam-7184	440	3	20(8):593	20(8):593	NUM
ejpam-7184	440	4	,	,	PUNCT
ejpam-7184	440	5	2018	2018	NUM
ejpam-7184	440	6	.	.	PUNCT
ejpam-7184	441	1	[	[	X
ejpam-7184	441	2	9	9	NUM
ejpam-7184	441	3	]	]	X
ejpam-7184	441	4	g.	g.	PROPN
ejpam-7184	441	5	qiu	qiu	PROPN
ejpam-7184	441	6	and	and	CCONJ
ejpam-7184	441	7	k.	k.	PROPN
ejpam-7184	441	8	jia	jia	PROPN
ejpam-7184	441	9	.	.	PUNCT
ejpam-7184	442	1	extropy	extropy	PROPN
ejpam-7184	442	2	estimators	estimator	NOUN
ejpam-7184	442	3	with	with	ADP
ejpam-7184	442	4	applications	application	NOUN
ejpam-7184	442	5	in	in	ADP
ejpam-7184	442	6	testing	testing	NOUN
ejpam-7184	442	7	uniformity	uniformity	NOUN
ejpam-7184	442	8	.	.	PUNCT
ejpam-7184	443	1	journal	journal	PROPN
ejpam-7184	443	2	of	of	ADP
ejpam-7184	443	3	non	non	ADJ
ejpam-7184	443	4	-	-	ADJ
ejpam-7184	443	5	parametric	parametric	ADJ
ejpam-7184	443	6	statistics	statistic	NOUN
ejpam-7184	443	7	,	,	PUNCT
ejpam-7184	443	8	30(1):182–196	30(1):182–196	NUM
ejpam-7184	443	9	,	,	PUNCT
ejpam-7184	443	10	2018	2018	NUM
ejpam-7184	443	11	.	.	PUNCT
ejpam-7184	444	1	[	[	X
ejpam-7184	444	2	10	10	NUM
ejpam-7184	444	3	]	]	X
ejpam-7184	444	4	g.	g.	PROPN
ejpam-7184	444	5	qiu	qiu	PROPN
ejpam-7184	444	6	and	and	CCONJ
ejpam-7184	444	7	k.	k.	PROPN
ejpam-7184	444	8	jia	jia	PROPN
ejpam-7184	444	9	.	.	PUNCT
ejpam-7184	445	1	the	the	DET
ejpam-7184	445	2	residual	residual	ADJ
ejpam-7184	445	3	extropy	extropy	NOUN
ejpam-7184	445	4	of	of	ADP
ejpam-7184	445	5	order	order	NOUN
ejpam-7184	445	6	statistics	statistic	NOUN
ejpam-7184	445	7	.	.	PUNCT
ejpam-7184	446	1	statistics	statistic	NOUN
ejpam-7184	446	2	and	and	CCONJ
ejpam-7184	446	3	probability	probability	NOUN
ejpam-7184	446	4	letters	letter	NOUN
ejpam-7184	446	5	,	,	PUNCT
ejpam-7184	446	6	133:15–22	133:15–22	NUM
ejpam-7184	446	7	,	,	PUNCT
ejpam-7184	446	8	2018	2018	NUM
ejpam-7184	446	9	.	.	PUNCT
ejpam-7184	447	1	m.	m.	PROPN
ejpam-7184	447	2	s.	s.	PROPN
ejpam-7184	447	3	mohamed	mohamed	PROPN
ejpam-7184	447	4	et	et	PROPN
ejpam-7184	447	5	al	al	PROPN
ejpam-7184	447	6	.	.	PUNCT
ejpam-7184	447	7	/	/	SYM
ejpam-7184	447	8	eur	eur	PROPN
ejpam-7184	447	9	.	.	PUNCT
ejpam-7184	448	1	j.	j.	PROPN
ejpam-7184	448	2	pure	pure	PROPN
ejpam-7184	448	3	appl	appl	PROPN
ejpam-7184	448	4	.	.	PROPN
ejpam-7184	448	5	math	math	PROPN
ejpam-7184	448	6	,	,	PUNCT
ejpam-7184	448	7	18	18	NUM
ejpam-7184	448	8	(	(	PUNCT
ejpam-7184	448	9	4	4	NUM
ejpam-7184	448	10	)	)	PUNCT
ejpam-7184	448	11	(	(	PUNCT
ejpam-7184	448	12	2025	2025	NUM
ejpam-7184	448	13	)	)	PUNCT
ejpam-7184	448	14	,	,	PUNCT
ejpam-7184	448	15	7184	7184	NUM
ejpam-7184	448	16	21	21	NUM
ejpam-7184	448	17	of	of	ADP
ejpam-7184	448	18	21	21	NUM
ejpam-7184	448	19	[	[	X
ejpam-7184	448	20	11	11	NUM
ejpam-7184	448	21	]	]	PUNCT
ejpam-7184	448	22	a.	a.	PROPN
ejpam-7184	448	23	s.	s.	PROPN
ejpam-7184	448	24	krishnan	krishnan	PROPN
ejpam-7184	448	25	,	,	PUNCT
ejpam-7184	448	26	s.	s.	PROPN
ejpam-7184	448	27	m.	m.	PROPN
ejpam-7184	448	28	sunoj	sunoj	PROPN
ejpam-7184	448	29	,	,	PUNCT
ejpam-7184	448	30	and	and	CCONJ
ejpam-7184	448	31	n.	n.	PROPN
ejpam-7184	448	32	unnikrishnan	unnikrishnan	PROPN
ejpam-7184	448	33	nair	nair	PROPN
ejpam-7184	448	34	.	.	PUNCT
ejpam-7184	449	1	some	some	DET
ejpam-7184	449	2	reliability	reliability	NOUN
ejpam-7184	449	3	properties	property	NOUN
ejpam-7184	449	4	of	of	ADP
ejpam-7184	449	5	extropy	extropy	NOUN
ejpam-7184	449	6	for	for	ADP
ejpam-7184	449	7	residual	residual	ADJ
ejpam-7184	449	8	and	and	CCONJ
ejpam-7184	449	9	past	past	ADJ
ejpam-7184	449	10	lifetime	lifetime	NOUN
ejpam-7184	449	11	random	random	ADJ
ejpam-7184	449	12	variables	variable	NOUN
ejpam-7184	449	13	.	.	PUNCT
ejpam-7184	450	1	journal	journal	NOUN
ejpam-7184	450	2	of	of	ADP
ejpam-7184	450	3	the	the	DET
ejpam-7184	450	4	korean	korean	ADJ
ejpam-7184	450	5	statistical	statistical	ADJ
ejpam-7184	450	6	society	society	NOUN
ejpam-7184	450	7	,	,	PUNCT
ejpam-7184	450	8	49:457–474	49:457–474	PROPN
ejpam-7184	450	9	,	,	PUNCT
ejpam-7184	450	10	2020	2020	NUM
ejpam-7184	450	11	.	.	PUNCT
ejpam-7184	451	1	[	[	X
ejpam-7184	451	2	12	12	NUM
ejpam-7184	451	3	]	]	X
ejpam-7184	451	4	j.	j.	PROPN
ejpam-7184	451	5	jose	jose	PROPN
ejpam-7184	451	6	and	and	CCONJ
ejpam-7184	451	7	e.	e.	PROPN
ejpam-7184	451	8	a.	a.	PROPN
ejpam-7184	451	9	sathar	sathar	PROPN
ejpam-7184	451	10	.	.	PUNCT
ejpam-7184	452	1	residual	residual	ADJ
ejpam-7184	452	2	extropy	extropy	NOUN
ejpam-7184	452	3	of	of	ADP
ejpam-7184	452	4	k	k	ADJ
ejpam-7184	452	5	-	-	PUNCT
ejpam-7184	452	6	record	record	NOUN
ejpam-7184	452	7	values	value	NOUN
ejpam-7184	452	8	.	.	PUNCT
ejpam-7184	453	1	statistics	statistic	NOUN
ejpam-7184	453	2	and	and	CCONJ
ejpam-7184	453	3	probability	probability	NOUN
ejpam-7184	453	4	letters	letter	NOUN
ejpam-7184	453	5	,	,	PUNCT
ejpam-7184	453	6	146:1–6	146:1–6	NUM
ejpam-7184	453	7	,	,	PUNCT
ejpam-7184	453	8	2019	2019	NUM
ejpam-7184	453	9	.	.	PUNCT
ejpam-7184	454	1	[	[	X
ejpam-7184	454	2	13	13	NUM
ejpam-7184	454	3	]	]	PUNCT
ejpam-7184	454	4	e.	e.	PROPN
ejpam-7184	454	5	a.	a.	PROPN
ejpam-7184	454	6	sathar	sathar	PROPN
ejpam-7184	454	7	and	and	CCONJ
ejpam-7184	454	8	j.	j.	PROPN
ejpam-7184	454	9	jose	jose	PROPN
ejpam-7184	454	10	.	.	PUNCT
ejpam-7184	455	1	past	past	ADJ
ejpam-7184	455	2	extropy	extropy	NOUN
ejpam-7184	455	3	of	of	ADP
ejpam-7184	455	4	k	k	NOUN
ejpam-7184	455	5	-	-	NOUN
ejpam-7184	455	6	records	record	NOUN
ejpam-7184	455	7	.	.	PUNCT
ejpam-7184	456	1	stochastics	stochastic	NOUN
ejpam-7184	456	2	and	and	CCONJ
ejpam-7184	456	3	quality	quality	NOUN
ejpam-7184	456	4	control	control	NOUN
ejpam-7184	456	5	,	,	PUNCT
ejpam-7184	456	6	35(1):25–38	35(1):25–38	NUM
ejpam-7184	456	7	,	,	PUNCT
ejpam-7184	456	8	2020	2020	NUM
ejpam-7184	456	9	.	.	PUNCT
ejpam-7184	457	1	[	[	X
ejpam-7184	457	2	14	14	NUM
ejpam-7184	457	3	]	]	X
ejpam-7184	457	4	s.	s.	PROPN
ejpam-7184	457	5	m.	m.	PROPN
ejpam-7184	457	6	a.	a.	PROPN
ejpam-7184	457	7	jahanshahi	jahanshahi	PROPN
ejpam-7184	457	8	,	,	PUNCT
ejpam-7184	457	9	h.	h.	PROPN
ejpam-7184	457	10	zarei	zarei	PROPN
ejpam-7184	457	11	,	,	PUNCT
ejpam-7184	457	12	and	and	CCONJ
ejpam-7184	457	13	a.	a.	PROPN
ejpam-7184	457	14	h.	h.	PROPN
ejpam-7184	457	15	khammar	khammar	PROPN
ejpam-7184	457	16	.	.	PUNCT
ejpam-7184	458	1	on	on	ADP
ejpam-7184	458	2	cumulative	cumulative	ADJ
ejpam-7184	458	3	residual	residual	ADJ
ejpam-7184	458	4	extropy	extropy	NOUN
ejpam-7184	458	5	.	.	PUNCT
ejpam-7184	459	1	probability	probability	NOUN
ejpam-7184	459	2	in	in	ADP
ejpam-7184	459	3	the	the	DET
ejpam-7184	459	4	engineering	engineering	NOUN
ejpam-7184	459	5	and	and	CCONJ
ejpam-7184	459	6	informational	informational	ADJ
ejpam-7184	459	7	sciences	science	NOUN
ejpam-7184	459	8	,	,	PUNCT
ejpam-7184	459	9	34(4):605–625	34(4):605–625	PROPN
ejpam-7184	459	10	,	,	PUNCT
ejpam-7184	459	11	2020	2020	NUM
ejpam-7184	459	12	.	.	PUNCT
ejpam-7184	460	1	[	[	X
ejpam-7184	460	2	15	15	NUM
ejpam-7184	460	3	]	]	X
ejpam-7184	460	4	s.	s.	PROPN
ejpam-7184	460	5	tahmasebi	tahmasebi	PROPN
ejpam-7184	460	6	and	and	CCONJ
ejpam-7184	460	7	a.	a.	NOUN
ejpam-7184	460	8	toomaj	toomaj	NOUN
ejpam-7184	460	9	.	.	PUNCT
ejpam-7184	461	1	on	on	ADP
ejpam-7184	461	2	negative	negative	ADJ
ejpam-7184	461	3	cumulative	cumulative	ADJ
ejpam-7184	461	4	extropy	extropy	NOUN
ejpam-7184	461	5	with	with	ADP
ejpam-7184	461	6	applications	application	NOUN
ejpam-7184	461	7	.	.	PUNCT
ejpam-7184	462	1	communications	communication	NOUN
ejpam-7184	462	2	in	in	ADP
ejpam-7184	462	3	statistics	statistic	NOUN
ejpam-7184	462	4	-	-	PUNCT
ejpam-7184	462	5	theory	theory	NOUN
ejpam-7184	462	6	and	and	CCONJ
ejpam-7184	462	7	methods	method	NOUN
ejpam-7184	462	8	,	,	PUNCT
ejpam-7184	462	9	51(15):5025–5047	51(15):5025–5047	NUM
ejpam-7184	462	10	,	,	PUNCT
ejpam-7184	462	11	2022	2022	NUM
ejpam-7184	462	12	.	.	PUNCT
ejpam-7184	463	1	[	[	X
ejpam-7184	463	2	16	16	NUM
ejpam-7184	463	3	]	]	X
ejpam-7184	463	4	d.	d.	PROPN
ejpam-7184	463	5	morgentern	morgentern	PROPN
ejpam-7184	463	6	.	.	PUNCT
ejpam-7184	464	1	einfache	einfache	PROPN
ejpam-7184	464	2	beispiele	beispiele	PROPN
ejpam-7184	464	3	zweidimensionaler	zweidimensionaler	PROPN
ejpam-7184	464	4	verteilunngen	verteilunngen	PROPN
ejpam-7184	464	5	.	.	PUNCT
ejpam-7184	465	1	mitteilungsblatt	mitteilungsblatt	ADJ
ejpam-7184	465	2	für	für	PROPN
ejpam-7184	465	3	mathematische	mathematische	PROPN
ejpam-7184	465	4	statistik	statistik	PROPN
ejpam-7184	465	5	,	,	PUNCT
ejpam-7184	465	6	8:234–235	8:234–235	NUM
ejpam-7184	465	7	,	,	PUNCT
ejpam-7184	465	8	1956	1956	NUM
ejpam-7184	465	9	.	.	PUNCT
ejpam-7184	466	1	[	[	X
ejpam-7184	466	2	17	17	NUM
ejpam-7184	466	3	]	]	X
ejpam-7184	466	4	c.	c.	PROPN
ejpam-7184	466	5	d.	d.	PROPN
ejpam-7184	466	6	lai	lai	PROPN
ejpam-7184	466	7	and	and	CCONJ
ejpam-7184	466	8	m.	m.	PROPN
ejpam-7184	466	9	xie	xie	PROPN
ejpam-7184	466	10	.	.	PUNCT
ejpam-7184	467	1	a	a	DET
ejpam-7184	467	2	new	new	ADJ
ejpam-7184	467	3	family	family	NOUN
ejpam-7184	467	4	of	of	ADP
ejpam-7184	467	5	positive	positive	ADJ
ejpam-7184	467	6	quadrant	quadrant	ADJ
ejpam-7184	467	7	dependent	dependent	ADJ
ejpam-7184	467	8	bivariate	bivariate	ADJ
ejpam-7184	467	9	distributions	distribution	NOUN
ejpam-7184	467	10	.	.	PUNCT
ejpam-7184	468	1	statistics	statistic	NOUN
ejpam-7184	468	2	and	and	CCONJ
ejpam-7184	468	3	probability	probability	NOUN
ejpam-7184	468	4	letters	letter	NOUN
ejpam-7184	468	5	,	,	PUNCT
ejpam-7184	468	6	46(4):359–364	46(4):359–364	NUM
ejpam-7184	468	7	,	,	PUNCT
ejpam-7184	468	8	2000	2000	NUM
ejpam-7184	468	9	.	.	PUNCT
ejpam-7184	469	1	[	[	X
ejpam-7184	469	2	18	18	NUM
ejpam-7184	469	3	]	]	X
ejpam-7184	469	4	i.	i.	NOUN
ejpam-7184	469	5	bairamov	bairamov	PROPN
ejpam-7184	469	6	,	,	PUNCT
ejpam-7184	469	7	s.	s.	PROPN
ejpam-7184	469	8	kotz	kotz	PROPN
ejpam-7184	469	9	,	,	PUNCT
ejpam-7184	469	10	and	and	CCONJ
ejpam-7184	469	11	m.	m.	NOUN
ejpam-7184	469	12	bekci	bekci	PROPN
ejpam-7184	469	13	.	.	PUNCT
ejpam-7184	470	1	new	new	ADJ
ejpam-7184	470	2	generalized	generalize	VERB
ejpam-7184	470	3	farlie	farlie	NOUN
ejpam-7184	470	4	-	-	PUNCT
ejpam-7184	470	5	gumbel	gumbel	NOUN
ejpam-7184	470	6	-	-	PUNCT
ejpam-7184	470	7	morgenstern	morgenstern	NOUN
ejpam-7184	470	8	distributions	distribution	NOUN
ejpam-7184	470	9	and	and	CCONJ
ejpam-7184	470	10	concomitants	concomitant	NOUN
ejpam-7184	470	11	of	of	ADP
ejpam-7184	470	12	order	order	NOUN
ejpam-7184	470	13	statistics	statistic	NOUN
ejpam-7184	470	14	.	.	PUNCT
ejpam-7184	471	1	journal	journal	PROPN
ejpam-7184	471	2	of	of	ADP
ejpam-7184	471	3	applied	applied	ADJ
ejpam-7184	471	4	statistics	statistic	NOUN
ejpam-7184	471	5	,	,	PUNCT
ejpam-7184	471	6	28(5):521	28(5):521	NOUN
ejpam-7184	471	7	–	–	PUNCT
ejpam-7184	471	8	536	536	NUM
ejpam-7184	471	9	,	,	PUNCT
ejpam-7184	471	10	2001	2001	NUM
ejpam-7184	471	11	.	.	PUNCT
ejpam-7184	472	1	[	[	X
ejpam-7184	472	2	19	19	NUM
ejpam-7184	472	3	]	]	X
ejpam-7184	472	4	u.	u.	PROPN
ejpam-7184	472	5	kamps	kamps	PROPN
ejpam-7184	472	6	.	.	PUNCT
ejpam-7184	473	1	a	a	DET
ejpam-7184	473	2	concept	concept	NOUN
ejpam-7184	473	3	of	of	ADP
ejpam-7184	473	4	generalized	generalized	ADJ
ejpam-7184	473	5	order	order	NOUN
ejpam-7184	473	6	statistics	statistic	NOUN
ejpam-7184	473	7	,	,	PUNCT
ejpam-7184	473	8	volume	volume	NOUN
ejpam-7184	473	9	48	48	NUM
ejpam-7184	473	10	of	of	ADP
ejpam-7184	473	11	journal	journal	NOUN
ejpam-7184	473	12	of	of	ADP
ejpam-7184	473	13	statistical	statistical	ADJ
ejpam-7184	473	14	planning	planning	NOUN
ejpam-7184	473	15	and	and	CCONJ
ejpam-7184	473	16	inference	inference	NOUN
ejpam-7184	473	17	.	.	PUNCT
ejpam-7184	474	1	elsevier	elsevier	NOUN
ejpam-7184	474	2	,	,	PUNCT
ejpam-7184	474	3	1995	1995	NUM
ejpam-7184	474	4	.	.	PUNCT
ejpam-7184	475	1	[	[	X
ejpam-7184	475	2	20	20	NUM
ejpam-7184	475	3	]	]	PUNCT
ejpam-7184	475	4	a.	a.	PROPN
ejpam-7184	475	5	gamal	gamal	PROPN
ejpam-7184	475	6	,	,	PUNCT
ejpam-7184	475	7	l.	l.	PROPN
ejpam-7184	475	8	s.	s.	PROPN
ejpam-7184	475	9	diab	diab	PROPN
ejpam-7184	475	10	,	,	PUNCT
ejpam-7184	475	11	and	and	CCONJ
ejpam-7184	475	12	m.	m.	PROPN
ejpam-7184	475	13	s.	s.	PROPN
ejpam-7184	475	14	mohamed	mohamed	PROPN
ejpam-7184	475	15	.	.	PUNCT
ejpam-7184	476	1	concomitants	concomitant	NOUN
ejpam-7184	476	2	for	for	ADP
ejpam-7184	476	3	case	case	NOUN
ejpam-7184	476	4	-	-	PUNCT
ejpam-7184	476	5	i	i	PRON
ejpam-7184	476	6	of	of	ADP
ejpam-7184	476	7	generalized	generalized	ADJ
ejpam-7184	476	8	order	order	NOUN
ejpam-7184	476	9	statistical	statistical	ADJ
ejpam-7184	476	10	and	and	CCONJ
ejpam-7184	476	11	its	its	PRON
ejpam-7184	476	12	dual	dual	ADJ
ejpam-7184	476	13	from	from	ADP
ejpam-7184	476	14	lai	lai	PROPN
ejpam-7184	476	15	and	and	CCONJ
ejpam-7184	476	16	xie	xie	PROPN
ejpam-7184	476	17	extension	extension	PROPN
ejpam-7184	476	18	.	.	PUNCT
ejpam-7184	477	1	pakistan	pakistan	PROPN
ejpam-7184	477	2	journal	journal	PROPN
ejpam-7184	477	3	of	of	ADP
ejpam-7184	477	4	statistics	statistic	NOUN
ejpam-7184	477	5	,	,	PUNCT
ejpam-7184	477	6	40(1	40(1	NOUN
ejpam-7184	477	7	)	)	PUNCT
ejpam-7184	477	8	,	,	PUNCT
ejpam-7184	477	9	2024	2024	NUM
ejpam-7184	477	10	.	.	PUNCT
ejpam-7184	478	1	[	[	X
ejpam-7184	478	2	21	21	NUM
ejpam-7184	478	3	]	]	PUNCT
ejpam-7184	478	4	z.	z.	PROPN
ejpam-7184	478	5	almaspoor	almaspoor	PROPN
ejpam-7184	478	6	,	,	PUNCT
ejpam-7184	478	7	a.	a.	PROPN
ejpam-7184	478	8	a.	a.	NOUN
ejpam-7184	478	9	jafari	jafari	PROPN
ejpam-7184	478	10	,	,	PUNCT
ejpam-7184	478	11	and	and	CCONJ
ejpam-7184	478	12	s.	s.	PROPN
ejpam-7184	478	13	tahmasebi	tahmasebi	VERB
ejpam-7184	478	14	.	.	PUNCT
ejpam-7184	479	1	measures	measure	NOUN
ejpam-7184	479	2	of	of	ADP
ejpam-7184	479	3	extropy	extropy	NOUN
ejpam-7184	479	4	for	for	ADP
ejpam-7184	479	5	concomitants	concomitant	NOUN
ejpam-7184	479	6	of	of	ADP
ejpam-7184	479	7	generalized	generalized	ADJ
ejpam-7184	479	8	order	order	NOUN
ejpam-7184	479	9	statistics	statistic	NOUN
ejpam-7184	479	10	in	in	ADP
ejpam-7184	479	11	morgenstern	morgenstern	PROPN
ejpam-7184	479	12	family	family	PROPN
ejpam-7184	479	13	.	.	PUNCT
ejpam-7184	480	1	journal	journal	NOUN
ejpam-7184	480	2	of	of	ADP
ejpam-7184	480	3	statistical	statistical	ADJ
ejpam-7184	480	4	theory	theory	NOUN
ejpam-7184	480	5	and	and	CCONJ
ejpam-7184	480	6	applications	application	NOUN
ejpam-7184	480	7	,	,	PUNCT
ejpam-7184	480	8	21(1):1–20	21(1):1–20	NUM
ejpam-7184	480	9	,	,	PUNCT
ejpam-7184	480	10	2022	2022	NUM
ejpam-7184	480	11	.	.	PUNCT
ejpam-7184	481	1	[	[	X
ejpam-7184	481	2	22	22	NUM
ejpam-7184	481	3	]	]	PUNCT
ejpam-7184	481	4	m.	m.	NOUN
ejpam-7184	481	5	s.	s.	PROPN
ejpam-7184	481	6	mohamed	mohamed	PROPN
ejpam-7184	481	7	,	,	PUNCT
ejpam-7184	481	8	a.	a.	PROPN
ejpam-7184	481	9	t.	t.	PROPN
ejpam-7184	481	10	abdulrahman	abdulrahman	PROPN
ejpam-7184	481	11	,	,	PUNCT
ejpam-7184	481	12	z.	z.	PROPN
ejpam-7184	481	13	almaspoor	almaspoor	PROPN
ejpam-7184	481	14	,	,	PUNCT
ejpam-7184	481	15	and	and	CCONJ
ejpam-7184	481	16	m.	m.	PROPN
ejpam-7184	481	17	yusuf	yusuf	PROPN
ejpam-7184	481	18	.	.	PUNCT
ejpam-7184	481	19	ordered	order	VERB
ejpam-7184	481	20	variables	variable	NOUN
ejpam-7184	481	21	and	and	CCONJ
ejpam-7184	481	22	their	their	PRON
ejpam-7184	481	23	concomitants	concomitant	NOUN
ejpam-7184	481	24	under	under	ADP
ejpam-7184	481	25	extropy	extropy	NOUN
ejpam-7184	481	26	via	via	ADP
ejpam-7184	481	27	covid-19	covid-19	PROPN
ejpam-7184	481	28	data	datum	NOUN
ejpam-7184	481	29	application	application	NOUN
ejpam-7184	481	30	.	.	PUNCT
ejpam-7184	482	1	complexity	complexity	NOUN
ejpam-7184	482	2	,	,	PUNCT
ejpam-7184	482	3	2021(1):6491817	2021(1):6491817	NOUN
ejpam-7184	482	4	,	,	PUNCT
ejpam-7184	482	5	2021	2021	NUM
ejpam-7184	482	6	.	.	PUNCT
ejpam-7184	483	1	[	[	X
ejpam-7184	483	2	23	23	NUM
ejpam-7184	483	3	]	]	PUNCT
ejpam-7184	483	4	m.	m.	PROPN
ejpam-7184	483	5	s.	s.	PROPN
ejpam-7184	483	6	mohamed	mohamed	PROPN
ejpam-7184	483	7	,	,	PUNCT
ejpam-7184	483	8	h.	h.	PROPN
ejpam-7184	483	9	m.	m.	PROPN
ejpam-7184	483	10	barakat	barakat	PROPN
ejpam-7184	483	11	,	,	PUNCT
ejpam-7184	483	12	s.	s.	PROPN
ejpam-7184	483	13	a.	a.	PROPN
ejpam-7184	483	14	alyami	alyami	PROPN
ejpam-7184	483	15	,	,	PUNCT
ejpam-7184	483	16	and	and	CCONJ
ejpam-7184	483	17	m.	m.	NOUN
ejpam-7184	483	18	a.	a.	PROPN
ejpam-7184	483	19	abd	abd	PROPN
ejpam-7184	483	20	elgawad	elgawad	PROPN
ejpam-7184	483	21	.	.	PUNCT
ejpam-7184	484	1	cumulative	cumulative	ADJ
ejpam-7184	484	2	residual	residual	ADJ
ejpam-7184	484	3	tsallis	tsalli	NOUN
ejpam-7184	484	4	entropy	entropy	NOUN
ejpam-7184	484	5	-	-	PUNCT
ejpam-7184	484	6	based	base	VERB
ejpam-7184	484	7	test	test	NOUN
ejpam-7184	484	8	of	of	ADP
ejpam-7184	484	9	uniformity	uniformity	NOUN
ejpam-7184	484	10	and	and	CCONJ
ejpam-7184	484	11	some	some	DET
ejpam-7184	484	12	new	new	ADJ
ejpam-7184	484	13	findings	finding	NOUN
ejpam-7184	484	14	.	.	PUNCT
ejpam-7184	485	1	mathematics	mathematic	NOUN
ejpam-7184	485	2	,	,	PUNCT
ejpam-7184	485	3	10(5):771	10(5):771	NUM
ejpam-7184	485	4	,	,	PUNCT
ejpam-7184	485	5	2022	2022	NUM
ejpam-7184	485	6	.	.	PUNCT
ejpam-7184	486	1	[	[	X
ejpam-7184	486	2	24	24	NUM
ejpam-7184	486	3	]	]	X
ejpam-7184	486	4	e.	e.	PROPN
ejpam-7184	486	5	a.	a.	PROPN
ejpam-7184	486	6	nadaraya	nadaraya	PROPN
ejpam-7184	486	7	.	.	PUNCT
ejpam-7184	487	1	on	on	ADP
ejpam-7184	487	2	estimating	estimate	VERB
ejpam-7184	487	3	regression	regression	NOUN
ejpam-7184	487	4	.	.	PUNCT
ejpam-7184	488	1	theory	theory	NOUN
ejpam-7184	488	2	of	of	ADP
ejpam-7184	488	3	probability	probability	NOUN
ejpam-7184	488	4	and	and	CCONJ
ejpam-7184	488	5	its	its	PRON
ejpam-7184	488	6	applications	application	NOUN
ejpam-7184	488	7	,	,	PUNCT
ejpam-7184	488	8	9(1):141–142	9(1):141–142	NUM
ejpam-7184	488	9	,	,	PUNCT
ejpam-7184	488	10	1964	1964	NUM
ejpam-7184	488	11	.	.	PUNCT
ejpam-7184	489	1	[	[	X
ejpam-7184	489	2	25	25	NUM
ejpam-7184	489	3	]	]	X
ejpam-7184	489	4	r.	r.	PROPN
ejpam-7184	489	5	pyke	pyke	PROPN
ejpam-7184	489	6	.	.	PUNCT
ejpam-7184	490	1	spacings	spacing	NOUN
ejpam-7184	490	2	.	.	PUNCT
ejpam-7184	491	1	journal	journal	NOUN
ejpam-7184	491	2	of	of	ADP
ejpam-7184	491	3	the	the	DET
ejpam-7184	491	4	royal	royal	ADJ
ejpam-7184	491	5	statistical	statistical	ADJ
ejpam-7184	491	6	society	society	NOUN
ejpam-7184	491	7	:	:	PUNCT
ejpam-7184	491	8	series	series	PROPN
ejpam-7184	491	9	b	b	PROPN
ejpam-7184	491	10	(	(	PUNCT
ejpam-7184	491	11	methodological	methodological	ADJ
ejpam-7184	491	12	)	)	PUNCT
ejpam-7184	491	13	,	,	PUNCT
ejpam-7184	491	14	27(3):395–436	27(3):395–436	NUM
ejpam-7184	491	15	,	,	PUNCT
ejpam-7184	491	16	1965	1965	NUM
ejpam-7184	491	17	.	.	PUNCT
ejpam-7184	492	1	introduction	introduction	NOUN
ejpam-7184	492	2	lai	lai	PROPN
ejpam-7184	492	3	and	and	CCONJ
ejpam-7184	492	4	xie	xie	PROPN
ejpam-7184	492	5	extensions	extension	NOUN
ejpam-7184	492	6	via	via	ADP
ejpam-7184	492	7	extropy	extropy	NOUN
ejpam-7184	492	8	extropy	extropy	NOUN
ejpam-7184	492	9	of	of	ADP
ejpam-7184	492	10	concomitants	concomitant	NOUN
ejpam-7184	492	11	for	for	ADP
ejpam-7184	492	12	w	w	ADV
ejpam-7184	492	13	-	-	PUNCT
ejpam-7184	492	14	generalized	generalize	VERB
ejpam-7184	492	15	order	order	NOUN
ejpam-7184	492	16	statistics	statistic	NOUN
ejpam-7184	492	17	residual	residual	ADJ
ejpam-7184	492	18	and	and	CCONJ
ejpam-7184	492	19	past	past	ADJ
ejpam-7184	492	20	extropies	extropy	NOUN
ejpam-7184	492	21	of	of	ADP
ejpam-7184	492	22	concomitants	concomitant	NOUN
ejpam-7184	492	23	for	for	ADP
ejpam-7184	492	24	w	w	ADV
ejpam-7184	492	25	-	-	PUNCT
ejpam-7184	492	26	generalized	generalize	VERB
ejpam-7184	492	27	order	order	NOUN
ejpam-7184	492	28	statistics	statistic	NOUN
ejpam-7184	492	29	cumulative	cumulative	VERB
ejpam-7184	492	30	residual	residual	ADJ
ejpam-7184	492	31	extropy	extropy	NOUN
ejpam-7184	492	32	of	of	ADP
ejpam-7184	492	33	concomitants	concomitant	NOUN
ejpam-7184	492	34	for	for	ADP
ejpam-7184	492	35	w	w	ADV
ejpam-7184	492	36	-	-	PUNCT
ejpam-7184	492	37	generalized	generalize	VERB
ejpam-7184	492	38	order	order	NOUN
ejpam-7184	492	39	statistics	statistic	NOUN
ejpam-7184	492	40	the	the	DET
ejpam-7184	492	41	negative	negative	ADJ
ejpam-7184	492	42	cumulative	cumulative	ADJ
ejpam-7184	492	43	extropy	extropy	NOUN
ejpam-7184	492	44	of	of	ADP
ejpam-7184	492	45	concomitants	concomitant	NOUN
ejpam-7184	492	46	for	for	ADP
ejpam-7184	492	47	w	w	ADV
ejpam-7184	492	48	-	-	PUNCT
ejpam-7184	492	49	generalized	generalize	VERB
ejpam-7184	492	50	order	order	NOUN
ejpam-7184	492	51	statistics	statistic	NOUN
ejpam-7184	492	52	non	non	ADJ
ejpam-7184	492	53	-	-	ADJ
ejpam-7184	492	54	parametric	parametric	ADJ
ejpam-7184	492	55	estimation	estimation	NOUN
ejpam-7184	492	56	saudi	saudi	PROPN
ejpam-7184	492	57	arabia	arabia	PROPN
ejpam-7184	492	58	real	real	ADJ
ejpam-7184	492	59	industrial	industrial	ADJ
ejpam-7184	492	60	data	datum	NOUN
ejpam-7184	492	61	analysis	analysis	NOUN
ejpam-7184	492	62	conclusions	conclusion	NOUN