id	sid	tid	token	lemma	pos
ejpam-6994	1	1	european	european	PROPN
ejpam-6994	1	2	journal	journal	PROPN
ejpam-6994	1	3	of	of	ADP
ejpam-6994	1	4	pure	pure	ADJ
ejpam-6994	1	5	and	and	CCONJ
ejpam-6994	1	6	applied	applied	ADJ
ejpam-6994	1	7	mathematics	mathematic	NOUN
ejpam-6994	1	8	2025	2025	NUM
ejpam-6994	1	9	,	,	PUNCT
ejpam-6994	1	10	vol	vol	NOUN
ejpam-6994	1	11	.	.	PROPN
ejpam-6994	1	12	18	18	NUM
ejpam-6994	1	13	,	,	PUNCT
ejpam-6994	1	14	issue	issue	NOUN
ejpam-6994	1	15	4	4	NUM
ejpam-6994	1	16	,	,	PUNCT
ejpam-6994	1	17	article	article	NOUN
ejpam-6994	1	18	number	number	NOUN
ejpam-6994	1	19	6994	6994	NUM
ejpam-6994	1	20	issn	issn	PROPN
ejpam-6994	1	21	1307	1307	NUM
ejpam-6994	1	22	-	-	SYM
ejpam-6994	1	23	5543	5543	NUM
ejpam-6994	1	24	–	–	PUNCT
ejpam-6994	1	25	ejpam.com	ejpam.com	X
ejpam-6994	1	26	published	publish	VERB
ejpam-6994	1	27	by	by	ADP
ejpam-6994	1	28	new	new	PROPN
ejpam-6994	1	29	york	york	PROPN
ejpam-6994	1	30	business	business	PROPN
ejpam-6994	1	31	global	global	PROPN
ejpam-6994	1	32	the	the	DET
ejpam-6994	1	33	discrete	discrete	ADJ
ejpam-6994	1	34	laplace	laplace	NOUN
ejpam-6994	1	35	transform	transform	NOUN
ejpam-6994	1	36	(	(	PUNCT
ejpam-6994	1	37	dlt	dlt	PROPN
ejpam-6994	1	38	)	)	PUNCT
ejpam-6994	1	39	order	order	NOUN
ejpam-6994	1	40	:	:	PUNCT
ejpam-6994	1	41	a	a	DET
ejpam-6994	1	42	sensitive	sensitive	ADJ
ejpam-6994	1	43	approach	approach	NOUN
ejpam-6994	1	44	to	to	ADP
ejpam-6994	1	45	comparing	compare	VERB
ejpam-6994	1	46	discrete	discrete	ADJ
ejpam-6994	1	47	residual	residual	ADJ
ejpam-6994	1	48	life	life	NOUN
ejpam-6994	1	49	distributions	distribution	NOUN
ejpam-6994	1	50	with	with	ADP
ejpam-6994	1	51	applications	application	NOUN
ejpam-6994	1	52	to	to	ADP
ejpam-6994	1	53	queueing	queue	VERB
ejpam-6994	1	54	systems	system	NOUN
ejpam-6994	1	55	alshaikh	alshaikh	PROPN
ejpam-6994	1	56	a.	a.	PROPN
ejpam-6994	1	57	shokeralla	shokeralla	PROPN
ejpam-6994	1	58	department	department	PROPN
ejpam-6994	1	59	of	of	ADP
ejpam-6994	1	60	mathematics	mathematic	NOUN
ejpam-6994	1	61	,	,	PUNCT
ejpam-6994	1	62	faculty	faculty	NOUN
ejpam-6994	1	63	of	of	ADP
ejpam-6994	1	64	science	science	NOUN
ejpam-6994	1	65	,	,	PUNCT
ejpam-6994	1	66	al	al	PROPN
ejpam-6994	1	67	-	-	PUNCT
ejpam-6994	1	68	baha	baha	PROPN
ejpam-6994	1	69	university	university	PROPN
ejpam-6994	1	70	,	,	PUNCT
ejpam-6994	1	71	alaqiq	alaqiq	PROPN
ejpam-6994	1	72	,	,	PUNCT
ejpam-6994	1	73	65779	65779	NUM
ejpam-6994	1	74	-	-	SYM
ejpam-6994	1	75	7738	7738	NUM
ejpam-6994	1	76	,	,	PUNCT
ejpam-6994	1	77	saudi	saudi	PROPN
ejpam-6994	1	78	arabia	arabia	PROPN
ejpam-6994	1	79	abstract	abstract	NOUN
ejpam-6994	1	80	.	.	PUNCT
ejpam-6994	2	1	in	in	ADP
ejpam-6994	2	2	this	this	DET
ejpam-6994	2	3	paper	paper	NOUN
ejpam-6994	2	4	,	,	PUNCT
ejpam-6994	2	5	we	we	PRON
ejpam-6994	2	6	propose	propose	VERB
ejpam-6994	2	7	a	a	DET
ejpam-6994	2	8	general	general	ADJ
ejpam-6994	2	9	methodology	methodology	NOUN
ejpam-6994	2	10	for	for	ADP
ejpam-6994	2	11	implementing	implement	VERB
ejpam-6994	2	12	a	a	DET
ejpam-6994	2	13	stochastic	stochastic	ADJ
ejpam-6994	2	14	ordering	ordering	NOUN
ejpam-6994	2	15	framework	framework	NOUN
ejpam-6994	2	16	based	base	VERB
ejpam-6994	2	17	on	on	ADP
ejpam-6994	2	18	the	the	DET
ejpam-6994	2	19	discrete	discrete	ADJ
ejpam-6994	2	20	laplace	laplace	NOUN
ejpam-6994	2	21	transform	transform	NOUN
ejpam-6994	2	22	(	(	PUNCT
ejpam-6994	2	23	dlt	dlt	PROPN
ejpam-6994	2	24	)	)	PUNCT
ejpam-6994	2	25	to	to	PART
ejpam-6994	2	26	analyze	analyze	VERB
ejpam-6994	2	27	and	and	CCONJ
ejpam-6994	2	28	compare	compare	VERB
ejpam-6994	2	29	residual	residual	ADJ
ejpam-6994	2	30	life	life	NOUN
ejpam-6994	2	31	distributions	distribution	NOUN
ejpam-6994	2	32	in	in	ADP
ejpam-6994	2	33	discrete	discrete	ADJ
ejpam-6994	2	34	-	-	PUNCT
ejpam-6994	2	35	time	time	NOUN
ejpam-6994	2	36	systems	system	NOUN
ejpam-6994	2	37	.	.	PUNCT
ejpam-6994	3	1	we	we	PRON
ejpam-6994	3	2	formally	formally	ADV
ejpam-6994	3	3	introduce	introduce	VERB
ejpam-6994	3	4	the	the	DET
ejpam-6994	3	5	dlt	dlt	PROPN
ejpam-6994	3	6	-	-	PUNCT
ejpam-6994	3	7	order	order	NOUN
ejpam-6994	3	8	,	,	PUNCT
ejpam-6994	3	9	denoted	denote	VERB
ejpam-6994	3	10	x	x	X
ejpam-6994	3	11	≤dlt	≤dlt	NUM
ejpam-6994	3	12	y	y	PROPN
ejpam-6994	3	13	,	,	PUNCT
ejpam-6994	3	14	and	and	CCONJ
ejpam-6994	3	15	establish	establish	VERB
ejpam-6994	3	16	its	its	PRON
ejpam-6994	3	17	key	key	ADJ
ejpam-6994	3	18	properties	property	NOUN
ejpam-6994	3	19	:	:	PUNCT
ejpam-6994	3	20	reflexivity	reflexivity	NOUN
ejpam-6994	3	21	,	,	PUNCT
ejpam-6994	3	22	transitivity	transitivity	NOUN
ejpam-6994	3	23	,	,	PUNCT
ejpam-6994	3	24	monotonicity	monotonicity	NOUN
ejpam-6994	3	25	,	,	PUNCT
ejpam-6994	3	26	and	and	CCONJ
ejpam-6994	3	27	closure	closure	NOUN
ejpam-6994	3	28	under	under	ADP
ejpam-6994	3	29	convolution	convolution	NOUN
ejpam-6994	3	30	and	and	CCONJ
ejpam-6994	3	31	mixture	mixture	NOUN
ejpam-6994	3	32	.	.	PUNCT
ejpam-6994	4	1	the	the	DET
ejpam-6994	4	2	dlt	dlt	PROPN
ejpam-6994	4	3	-	-	PUNCT
ejpam-6994	4	4	order	order	NOUN
ejpam-6994	4	5	exhibits	exhibit	VERB
ejpam-6994	4	6	higher	high	ADJ
ejpam-6994	4	7	discriminatory	discriminatory	ADJ
ejpam-6994	4	8	power	power	NOUN
ejpam-6994	4	9	than	than	ADP
ejpam-6994	4	10	classical	classical	ADJ
ejpam-6994	4	11	stochastic	stochastic	ADJ
ejpam-6994	4	12	orders	order	NOUN
ejpam-6994	4	13	—	—	PUNCT
ejpam-6994	4	14	particularly	particularly	ADV
ejpam-6994	4	15	when	when	SCONJ
ejpam-6994	4	16	distributions	distribution	NOUN
ejpam-6994	4	17	are	be	AUX
ejpam-6994	4	18	non	non	ADJ
ejpam-6994	4	19	-	-	ADJ
ejpam-6994	4	20	log	log	ADJ
ejpam-6994	4	21	-	-	PUNCT
ejpam-6994	4	22	concave	concave	VERB
ejpam-6994	4	23	,	,	PUNCT
ejpam-6994	4	24	heavy	heavy	ADJ
ejpam-6994	4	25	-	-	PUNCT
ejpam-6994	4	26	tailed	tail	VERB
ejpam-6994	4	27	,	,	PUNCT
ejpam-6994	4	28	or	or	CCONJ
ejpam-6994	4	29	exhibit	exhibit	VERB
ejpam-6994	4	30	crossing	crossing	NOUN
ejpam-6994	4	31	survival	survival	NOUN
ejpam-6994	4	32	functions	function	NOUN
ejpam-6994	4	33	.	.	PUNCT
ejpam-6994	5	1	the	the	DET
ejpam-6994	5	2	framework	framework	NOUN
ejpam-6994	5	3	is	be	AUX
ejpam-6994	5	4	computationally	computationally	ADV
ejpam-6994	5	5	efficient	efficient	ADJ
ejpam-6994	5	6	(	(	PUNCT
ejpam-6994	5	7	with	with	ADP
ejpam-6994	5	8	empirical	empirical	ADJ
ejpam-6994	5	9	estimation	estimation	NOUN
ejpam-6994	5	10	complexity	complexity	PROPN
ejpam-6994	5	11	o(n	o(n	PROPN
ejpam-6994	5	12	)	)	PUNCT
ejpam-6994	5	13	)	)	PUNCT
ejpam-6994	5	14	and	and	CCONJ
ejpam-6994	5	15	operationally	operationally	ADV
ejpam-6994	5	16	interpretable	interpretable	ADJ
ejpam-6994	5	17	.	.	PUNCT
ejpam-6994	6	1	using	use	VERB
ejpam-6994	6	2	real	real	ADJ
ejpam-6994	6	3	call	call	NOUN
ejpam-6994	6	4	center	center	NOUN
ejpam-6994	6	5	data	datum	NOUN
ejpam-6994	6	6	,	,	PUNCT
ejpam-6994	6	7	we	we	PRON
ejpam-6994	6	8	demonstrate	demonstrate	VERB
ejpam-6994	6	9	that	that	SCONJ
ejpam-6994	6	10	dlt	dlt	PROPN
ejpam-6994	6	11	scores	score	NOUN
ejpam-6994	6	12	effectively	effectively	ADV
ejpam-6994	6	13	differentiate	differentiate	VERB
ejpam-6994	6	14	between	between	ADP
ejpam-6994	6	15	service	service	NOUN
ejpam-6994	6	16	classes	class	NOUN
ejpam-6994	6	17	even	even	ADV
ejpam-6994	6	18	when	when	SCONJ
ejpam-6994	6	19	mean	mean	VERB
ejpam-6994	6	20	waiting	waiting	NOUN
ejpam-6994	6	21	times	time	NOUN
ejpam-6994	6	22	are	be	AUX
ejpam-6994	6	23	nearly	nearly	ADV
ejpam-6994	6	24	identical	identical	ADJ
ejpam-6994	6	25	.	.	PUNCT
ejpam-6994	7	1	for	for	ADP
ejpam-6994	7	2	instance	instance	NOUN
ejpam-6994	7	3	,	,	PUNCT
ejpam-6994	7	4	at	at	ADP
ejpam-6994	7	5	discount	discount	NOUN
ejpam-6994	7	6	rate	rate	NOUN
ejpam-6994	7	7	s	s	PART
ejpam-6994	7	8	=	=	NOUN
ejpam-6994	7	9	0.1	0.1	NUM
ejpam-6994	7	10	,	,	PUNCT
ejpam-6994	7	11	technical	technical	ADJ
ejpam-6994	7	12	support	support	NOUN
ejpam-6994	7	13	calls	call	NOUN
ejpam-6994	7	14	yielded	yield	VERB
ejpam-6994	7	15	a	a	DET
ejpam-6994	7	16	dlt	dlt	PROPN
ejpam-6994	7	17	value	value	NOUN
ejpam-6994	7	18	of	of	ADP
ejpam-6994	7	19	3.545	3.545	NUM
ejpam-6994	7	20	,	,	PUNCT
ejpam-6994	7	21	compared	compare	VERB
ejpam-6994	7	22	to	to	ADP
ejpam-6994	7	23	3.503	3.503	NUM
ejpam-6994	7	24	for	for	ADP
ejpam-6994	7	25	administrative	administrative	ADJ
ejpam-6994	7	26	inquiries	inquiry	NOUN
ejpam-6994	7	27	,	,	PUNCT
ejpam-6994	7	28	revealing	reveal	VERB
ejpam-6994	7	29	latent	latent	NOUN
ejpam-6994	7	30	disparities	disparity	NOUN
ejpam-6994	7	31	in	in	ADP
ejpam-6994	7	32	residual	residual	ADJ
ejpam-6994	7	33	waiting	waiting	NOUN
ejpam-6994	7	34	behavior	behavior	NOUN
ejpam-6994	7	35	.	.	PUNCT
ejpam-6994	8	1	sensitivity	sensitivity	NOUN
ejpam-6994	8	2	analyses	analysis	NOUN
ejpam-6994	8	3	confirm	confirm	VERB
ejpam-6994	8	4	the	the	DET
ejpam-6994	8	5	robustness	robustness	NOUN
ejpam-6994	8	6	of	of	ADP
ejpam-6994	8	7	the	the	DET
ejpam-6994	8	8	dlt	dlt	PROPN
ejpam-6994	8	9	-	-	PUNCT
ejpam-6994	8	10	order	order	NOUN
ejpam-6994	8	11	under	under	ADP
ejpam-6994	8	12	noise	noise	NOUN
ejpam-6994	8	13	,	,	PUNCT
ejpam-6994	8	14	outliers	outlier	NOUN
ejpam-6994	8	15	,	,	PUNCT
ejpam-6994	8	16	and	and	CCONJ
ejpam-6994	8	17	distributional	distributional	ADJ
ejpam-6994	8	18	shifts	shift	NOUN
ejpam-6994	8	19	.	.	PUNCT
ejpam-6994	9	1	threshold	threshold	NOUN
ejpam-6994	9	2	-	-	PUNCT
ejpam-6994	9	3	based	base	VERB
ejpam-6994	9	4	operational	operational	ADJ
ejpam-6994	9	5	rules	rule	NOUN
ejpam-6994	9	6	(	(	PUNCT
ejpam-6994	9	7	e.g.	e.g.	ADV
ejpam-6994	9	8	,	,	PUNCT
ejpam-6994	9	9	reallocating	reallocate	VERB
ejpam-6994	9	10	agents	agent	NOUN
ejpam-6994	9	11	when	when	SCONJ
ejpam-6994	9	12	dlt	dlt	PROPN
ejpam-6994	9	13	≥	≥	NUM
ejpam-6994	9	14	1.5	1.5	NUM
ejpam-6994	9	15	)	)	PUNCT
ejpam-6994	9	16	led	lead	VERB
ejpam-6994	9	17	to	to	ADP
ejpam-6994	9	18	an	an	DET
ejpam-6994	9	19	observed	observed	ADJ
ejpam-6994	9	20	18	18	NUM
ejpam-6994	9	21	%	%	NOUN
ejpam-6994	9	22	reduction	reduction	NOUN
ejpam-6994	9	23	in	in	ADP
ejpam-6994	9	24	average	average	ADJ
ejpam-6994	9	25	wait	wait	NOUN
ejpam-6994	9	26	times	time	NOUN
ejpam-6994	9	27	in	in	ADP
ejpam-6994	9	28	pilot	pilot	NOUN
ejpam-6994	9	29	deployments	deployment	NOUN
ejpam-6994	9	30	.	.	PUNCT
ejpam-6994	10	1	thus	thus	ADV
ejpam-6994	10	2	,	,	PUNCT
ejpam-6994	10	3	the	the	DET
ejpam-6994	10	4	dlt	dlt	PROPN
ejpam-6994	10	5	-	-	PUNCT
ejpam-6994	10	6	order	order	NOUN
ejpam-6994	10	7	fills	fill	VERB
ejpam-6994	10	8	a	a	DET
ejpam-6994	10	9	critical	critical	ADJ
ejpam-6994	10	10	gap	gap	NOUN
ejpam-6994	10	11	between	between	ADP
ejpam-6994	10	12	discrete	discrete	ADJ
ejpam-6994	10	13	reliability	reliability	NOUN
ejpam-6994	10	14	theory	theory	NOUN
ejpam-6994	10	15	and	and	CCONJ
ejpam-6994	10	16	performance	performance	NOUN
ejpam-6994	10	17	analytics	analytic	NOUN
ejpam-6994	10	18	,	,	PUNCT
ejpam-6994	10	19	offering	offer	VERB
ejpam-6994	10	20	a	a	DET
ejpam-6994	10	21	repeatable	repeatable	ADJ
ejpam-6994	10	22	,	,	PUNCT
ejpam-6994	10	23	interpretable	interpretable	ADJ
ejpam-6994	10	24	,	,	PUNCT
ejpam-6994	10	25	and	and	CCONJ
ejpam-6994	10	26	mathematically	mathematically	ADV
ejpam-6994	10	27	rigorous	rigorous	ADJ
ejpam-6994	10	28	method	method	NOUN
ejpam-6994	10	29	to	to	PART
ejpam-6994	10	30	rank	rank	VERB
ejpam-6994	10	31	,	,	PUNCT
ejpam-6994	10	32	compare	compare	NOUN
ejpam-6994	10	33	,	,	PUNCT
ejpam-6994	10	34	and	and	CCONJ
ejpam-6994	10	35	optimize	optimize	VERB
ejpam-6994	10	36	resources	resource	NOUN
ejpam-6994	10	37	in	in	ADP
ejpam-6994	10	38	discrete	discrete	ADJ
ejpam-6994	10	39	-	-	PUNCT
ejpam-6994	10	40	time	time	NOUN
ejpam-6994	10	41	service	service	NOUN
ejpam-6994	10	42	operations	operation	NOUN
ejpam-6994	10	43	.	.	PUNCT
ejpam-6994	11	1	2020	2020	NUM
ejpam-6994	11	2	mathematics	mathematic	NOUN
ejpam-6994	11	3	subject	subject	NOUN
ejpam-6994	11	4	classifications	classification	NOUN
ejpam-6994	11	5	:	:	PUNCT
ejpam-6994	11	6	62n05	62n05	NUM
ejpam-6994	11	7	key	key	ADJ
ejpam-6994	11	8	words	word	NOUN
ejpam-6994	11	9	and	and	CCONJ
ejpam-6994	11	10	phrases	phrase	NOUN
ejpam-6994	11	11	:	:	PUNCT
ejpam-6994	11	12	stochastic	stochastic	ADJ
ejpam-6994	11	13	ordering	ordering	NOUN
ejpam-6994	11	14	,	,	PUNCT
ejpam-6994	11	15	discrete	discrete	ADJ
ejpam-6994	11	16	laplace	laplace	NOUN
ejpam-6994	11	17	transform	transform	NOUN
ejpam-6994	11	18	,	,	PUNCT
ejpam-6994	11	19	reliability	reliability	NOUN
ejpam-6994	11	20	analysis	analysis	NOUN
ejpam-6994	11	21	,	,	PUNCT
ejpam-6994	11	22	queueing	queue	VERB
ejpam-6994	11	23	systems	system	NOUN
ejpam-6994	11	24	,	,	PUNCT
ejpam-6994	11	25	performance	performance	NOUN
ejpam-6994	11	26	optimization	optimization	NOUN
ejpam-6994	11	27	1	1	NUM
ejpam-6994	11	28	.	.	PUNCT
ejpam-6994	12	1	introduction	introduction	NOUN
ejpam-6994	12	2	ordering	order	VERB
ejpam-6994	12	3	under	under	ADP
ejpam-6994	12	4	stochasticity	stochasticity	NOUN
ejpam-6994	12	5	is	be	AUX
ejpam-6994	12	6	a	a	DET
ejpam-6994	12	7	fundamental	fundamental	ADJ
ejpam-6994	12	8	problem	problem	NOUN
ejpam-6994	12	9	in	in	ADP
ejpam-6994	12	10	reliability	reliability	NOUN
ejpam-6994	12	11	engineering	engineering	NOUN
ejpam-6994	12	12	,	,	PUNCT
ejpam-6994	12	13	queueing	queue	VERB
ejpam-6994	12	14	theory	theory	NOUN
ejpam-6994	12	15	,	,	PUNCT
ejpam-6994	12	16	and	and	CCONJ
ejpam-6994	12	17	operations	operation	NOUN
ejpam-6994	12	18	research	research	NOUN
ejpam-6994	12	19	,	,	PUNCT
ejpam-6994	12	20	as	as	SCONJ
ejpam-6994	12	21	it	it	PRON
ejpam-6994	12	22	allows	allow	VERB
ejpam-6994	12	23	a	a	DET
ejpam-6994	12	24	principled	principled	ADJ
ejpam-6994	12	25	comparison	comparison	NOUN
ejpam-6994	12	26	of	of	ADP
ejpam-6994	12	27	the	the	DET
ejpam-6994	12	28	performance	performance	NOUN
ejpam-6994	12	29	,	,	PUNCT
ejpam-6994	12	30	risk	risk	NOUN
ejpam-6994	12	31	,	,	PUNCT
ejpam-6994	12	32	or	or	CCONJ
ejpam-6994	12	33	lifetime	lifetime	NOUN
ejpam-6994	12	34	of	of	ADP
ejpam-6994	12	35	systems	system	NOUN
ejpam-6994	12	36	governed	govern	VERB
ejpam-6994	12	37	by	by	ADP
ejpam-6994	12	38	uncertainty	uncertainty	NOUN
ejpam-6994	12	39	[	[	X
ejpam-6994	12	40	1	1	NUM
ejpam-6994	12	41	,	,	PUNCT
ejpam-6994	12	42	2	2	NUM
ejpam-6994	12	43	]	]	PUNCT
ejpam-6994	12	44	.	.	PUNCT
ejpam-6994	13	1	standard	standard	ADJ
ejpam-6994	13	2	stochastic	stochastic	ADJ
ejpam-6994	13	3	doi	doi	NOUN
ejpam-6994	13	4	:	:	PUNCT
ejpam-6994	13	5	https://doi.org/10.29020/nybg.ejpam.v18i4.6994	https://doi.org/10.29020/nybg.ejpam.v18i4.6994	PROPN
ejpam-6994	13	6	email	email	NOUN
ejpam-6994	13	7	address	address	NOUN
ejpam-6994	13	8	:	:	PUNCT
ejpam-6994	13	9	sshokeralla@gmail.com	sshokeralla@gmail.com	X
ejpam-6994	13	10	(	(	PUNCT
ejpam-6994	13	11	a.	a.	NOUN
ejpam-6994	13	12	a.	a.	PROPN
ejpam-6994	13	13	shokeralla	shokeralla	PROPN
ejpam-6994	13	14	)	)	PUNCT
ejpam-6994	13	15	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6994	14	1	1	1	NUM
ejpam-6994	14	2	copyright	copyright	NOUN
ejpam-6994	14	3	:	:	PUNCT
ejpam-6994	14	4	©	©	PROPN
ejpam-6994	14	5	2025	2025	NUM
ejpam-6994	14	6	the	the	DET
ejpam-6994	14	7	author(s	author(s	NOUN
ejpam-6994	14	8	)	)	PUNCT
ejpam-6994	14	9	.	.	PUNCT
ejpam-6994	15	1	(	(	PUNCT
ejpam-6994	15	2	cc	cc	NOUN
ejpam-6994	15	3	by	by	ADP
ejpam-6994	15	4	-	-	PUNCT
ejpam-6994	15	5	nc	nc	PROPN
ejpam-6994	15	6	4.0	4.0	NUM
ejpam-6994	15	7	)	)	PUNCT
ejpam-6994	15	8	a.	a.	NOUN
ejpam-6994	15	9	a.	a.	NOUN
ejpam-6994	15	10	shokeralla	shokeralla	PROPN
ejpam-6994	15	11	/	/	SYM
ejpam-6994	15	12	eur	eur	PROPN
ejpam-6994	15	13	.	.	PUNCT
ejpam-6994	16	1	j.	j.	PROPN
ejpam-6994	16	2	pure	pure	PROPN
ejpam-6994	16	3	appl	appl	PROPN
ejpam-6994	16	4	.	.	PROPN
ejpam-6994	16	5	math	math	PROPN
ejpam-6994	16	6	,	,	PUNCT
ejpam-6994	16	7	18	18	NUM
ejpam-6994	16	8	(	(	PUNCT
ejpam-6994	16	9	4	4	NUM
ejpam-6994	16	10	)	)	PUNCT
ejpam-6994	16	11	(	(	PUNCT
ejpam-6994	16	12	2025	2025	NUM
ejpam-6994	16	13	)	)	PUNCT
ejpam-6994	16	14	,	,	PUNCT
ejpam-6994	16	15	6994	6994	NUM
ejpam-6994	16	16	2	2	NUM
ejpam-6994	16	17	of	of	ADP
ejpam-6994	16	18	22	22	NUM
ejpam-6994	16	19	orders	order	NOUN
ejpam-6994	16	20	—	—	PUNCT
ejpam-6994	16	21	such	such	ADJ
ejpam-6994	16	22	as	as	ADP
ejpam-6994	16	23	the	the	DET
ejpam-6994	16	24	usual	usual	ADJ
ejpam-6994	16	25	stochastic	stochastic	ADJ
ejpam-6994	16	26	order	order	NOUN
ejpam-6994	16	27	,	,	PUNCT
ejpam-6994	16	28	the	the	DET
ejpam-6994	16	29	hazard	hazard	NOUN
ejpam-6994	16	30	rate	rate	NOUN
ejpam-6994	16	31	order	order	NOUN
ejpam-6994	16	32	,	,	PUNCT
ejpam-6994	16	33	and	and	CCONJ
ejpam-6994	16	34	the	the	DET
ejpam-6994	16	35	likelihood	likelihood	NOUN
ejpam-6994	16	36	ratio	ratio	NOUN
ejpam-6994	16	37	order	order	NOUN
ejpam-6994	16	38	—	—	PUNCT
ejpam-6994	16	39	enable	enable	ADJ
ejpam-6994	16	40	comparisons	comparison	NOUN
ejpam-6994	16	41	using	use	VERB
ejpam-6994	16	42	complete	complete	ADJ
ejpam-6994	16	43	probability	probability	NOUN
ejpam-6994	16	44	distributions	distribution	NOUN
ejpam-6994	16	45	,	,	PUNCT
ejpam-6994	16	46	providing	provide	VERB
ejpam-6994	16	47	greater	great	ADJ
ejpam-6994	16	48	insight	insight	NOUN
ejpam-6994	16	49	than	than	ADP
ejpam-6994	16	50	single	single	ADJ
ejpam-6994	16	51	-	-	PUNCT
ejpam-6994	16	52	point	point	NOUN
ejpam-6994	16	53	summaries	summary	NOUN
ejpam-6994	16	54	,	,	PUNCT
ejpam-6994	16	55	such	such	ADJ
ejpam-6994	16	56	as	as	ADP
ejpam-6994	16	57	the	the	DET
ejpam-6994	16	58	mean	mean	NOUN
ejpam-6994	16	59	or	or	CCONJ
ejpam-6994	16	60	median	median	ADJ
ejpam-6994	16	61	,	,	PUNCT
ejpam-6994	16	62	for	for	ADP
ejpam-6994	16	63	decision	decision	NOUN
ejpam-6994	16	64	-	-	PUNCT
ejpam-6994	16	65	making	making	NOUN
ejpam-6994	16	66	.	.	PUNCT
ejpam-6994	17	1	seminal	seminal	ADJ
ejpam-6994	17	2	works	work	NOUN
ejpam-6994	17	3	[	[	X
ejpam-6994	17	4	3	3	NUM
ejpam-6994	17	5	,	,	PUNCT
ejpam-6994	17	6	4	4	NUM
ejpam-6994	17	7	]	]	PUNCT
ejpam-6994	17	8	have	have	AUX
ejpam-6994	17	9	established	establish	VERB
ejpam-6994	17	10	the	the	DET
ejpam-6994	17	11	theoretical	theoretical	ADJ
ejpam-6994	17	12	foundations	foundation	NOUN
ejpam-6994	17	13	of	of	ADP
ejpam-6994	17	14	these	these	DET
ejpam-6994	17	15	tools	tool	NOUN
ejpam-6994	17	16	within	within	ADP
ejpam-6994	17	17	a	a	DET
ejpam-6994	17	18	continuous	continuous	ADJ
ejpam-6994	17	19	-	-	PUNCT
ejpam-6994	17	20	time	time	NOUN
ejpam-6994	17	21	framework	framework	NOUN
ejpam-6994	17	22	.	.	PUNCT
ejpam-6994	18	1	nevertheless	nevertheless	ADV
ejpam-6994	18	2	,	,	PUNCT
ejpam-6994	18	3	certain	certain	ADJ
ejpam-6994	18	4	discrete	discrete	ADJ
ejpam-6994	18	5	-	-	PUNCT
ejpam-6994	18	6	time	time	NOUN
ejpam-6994	18	7	analogs	analog	NOUN
ejpam-6994	18	8	of	of	ADP
ejpam-6994	18	9	stochastic	stochastic	ADJ
ejpam-6994	18	10	orders	order	NOUN
ejpam-6994	18	11	are	be	AUX
ejpam-6994	18	12	relatively	relatively	ADV
ejpam-6994	18	13	unexplored	unexplored	ADJ
ejpam-6994	18	14	,	,	PUNCT
ejpam-6994	18	15	despite	despite	SCONJ
ejpam-6994	18	16	the	the	DET
ejpam-6994	18	17	fact	fact	NOUN
ejpam-6994	18	18	that	that	SCONJ
ejpam-6994	18	19	numerous	numerous	ADJ
ejpam-6994	18	20	applied	applied	ADJ
ejpam-6994	18	21	systems	system	NOUN
ejpam-6994	18	22	evolve	evolve	VERB
ejpam-6994	18	23	naturally	naturally	ADV
ejpam-6994	18	24	in	in	ADP
ejpam-6994	18	25	discrete	discrete	ADJ
ejpam-6994	18	26	time	time	NOUN
ejpam-6994	18	27	units	unit	NOUN
ejpam-6994	18	28	,	,	PUNCT
ejpam-6994	18	29	such	such	ADJ
ejpam-6994	18	30	as	as	ADP
ejpam-6994	18	31	seconds	second	NOUN
ejpam-6994	18	32	,	,	PUNCT
ejpam-6994	18	33	minutes	minute	NOUN
ejpam-6994	18	34	,	,	PUNCT
ejpam-6994	18	35	and	and	CCONJ
ejpam-6994	18	36	service	service	NOUN
ejpam-6994	18	37	intervals	interval	NOUN
ejpam-6994	18	38	.	.	PUNCT
ejpam-6994	19	1	such	such	ADJ
ejpam-6994	19	2	systems	system	NOUN
ejpam-6994	19	3	include	include	VERB
ejpam-6994	19	4	digital	digital	ADJ
ejpam-6994	19	5	communication	communication	NOUN
ejpam-6994	19	6	,	,	PUNCT
ejpam-6994	19	7	discrete	discrete	ADJ
ejpam-6994	19	8	-	-	PUNCT
ejpam-6994	19	9	event	event	NOUN
ejpam-6994	19	10	simulations	simulation	NOUN
ejpam-6994	19	11	,	,	PUNCT
ejpam-6994	19	12	and	and	CCONJ
ejpam-6994	19	13	customer	customer	NOUN
ejpam-6994	19	14	service	service	NOUN
ejpam-6994	19	15	operations	operation	NOUN
ejpam-6994	19	16	[	[	X
ejpam-6994	19	17	5	5	NUM
ejpam-6994	19	18	,	,	PUNCT
ejpam-6994	19	19	6	6	NUM
ejpam-6994	19	20	]	]	PUNCT
ejpam-6994	19	21	.	.	PUNCT
ejpam-6994	20	1	in	in	ADP
ejpam-6994	20	2	such	such	ADJ
ejpam-6994	20	3	scenarios	scenario	NOUN
ejpam-6994	20	4	,	,	PUNCT
ejpam-6994	20	5	classical	classical	ADJ
ejpam-6994	20	6	methods	method	NOUN
ejpam-6994	20	7	often	often	ADV
ejpam-6994	20	8	fail	fail	VERB
ejpam-6994	20	9	,	,	PUNCT
ejpam-6994	20	10	particularly	particularly	ADV
ejpam-6994	20	11	when	when	SCONJ
ejpam-6994	20	12	they	they	PRON
ejpam-6994	20	13	correspond	correspond	VERB
ejpam-6994	20	14	to	to	PART
ejpam-6994	20	15	nonmonotonic	nonmonotonic	VERB
ejpam-6994	20	16	,	,	PUNCT
ejpam-6994	20	17	overlapping	overlapping	NOUN
ejpam-6994	20	18	,	,	PUNCT
ejpam-6994	20	19	or	or	CCONJ
ejpam-6994	20	20	heavy	heavy	ADV
ejpam-6994	20	21	-	-	PUNCT
ejpam-6994	20	22	tailed	tail	VERB
ejpam-6994	20	23	distributions	distribution	NOUN
ejpam-6994	20	24	that	that	PRON
ejpam-6994	20	25	call	call	VERB
ejpam-6994	20	26	for	for	ADP
ejpam-6994	20	27	more	more	ADV
ejpam-6994	20	28	sophisticated	sophisticated	ADJ
ejpam-6994	20	29	analytical	analytical	ADJ
ejpam-6994	20	30	tools	tool	NOUN
ejpam-6994	20	31	for	for	ADP
ejpam-6994	20	32	inspection	inspection	NOUN
ejpam-6994	20	33	[	[	X
ejpam-6994	20	34	7	7	NUM
ejpam-6994	20	35	,	,	PUNCT
ejpam-6994	20	36	8	8	NUM
ejpam-6994	20	37	]	]	PUNCT
ejpam-6994	20	38	.	.	PUNCT
ejpam-6994	21	1	the	the	DET
ejpam-6994	21	2	research	research	NOUN
ejpam-6994	21	3	community	community	NOUN
ejpam-6994	21	4	has	have	AUX
ejpam-6994	21	5	recently	recently	ADV
ejpam-6994	21	6	addressed	address	VERB
ejpam-6994	21	7	this	this	DET
ejpam-6994	21	8	challenge	challenge	NOUN
ejpam-6994	21	9	by	by	ADP
ejpam-6994	21	10	considering	consider	VERB
ejpam-6994	21	11	transformbased	transformbased	ADJ
ejpam-6994	21	12	designs	design	NOUN
ejpam-6994	21	13	for	for	ADP
ejpam-6994	21	14	discrete	discrete	ADJ
ejpam-6994	21	15	systems	system	NOUN
ejpam-6994	21	16	.	.	PUNCT
ejpam-6994	22	1	in	in	ADP
ejpam-6994	22	2	particular	particular	ADJ
ejpam-6994	22	3	,	,	PUNCT
ejpam-6994	22	4	the	the	DET
ejpam-6994	22	5	discrete	discrete	ADJ
ejpam-6994	22	6	laplace	laplace	NOUN
ejpam-6994	22	7	transform	transform	NOUN
ejpam-6994	22	8	(	(	PUNCT
ejpam-6994	22	9	dlt	dlt	PROPN
ejpam-6994	22	10	)	)	PUNCT
ejpam-6994	22	11	is	be	AUX
ejpam-6994	22	12	a	a	DET
ejpam-6994	22	13	promising	promising	ADJ
ejpam-6994	22	14	method	method	NOUN
ejpam-6994	22	15	of	of	ADP
ejpam-6994	22	16	summarizing	summarize	VERB
ejpam-6994	22	17	the	the	DET
ejpam-6994	22	18	behavior	behavior	NOUN
ejpam-6994	22	19	of	of	ADP
ejpam-6994	22	20	discrete	discrete	ADJ
ejpam-6994	22	21	lifetime	lifetime	NOUN
ejpam-6994	22	22	distributions	distribution	NOUN
ejpam-6994	22	23	,	,	PUNCT
ejpam-6994	22	24	capturing	capture	VERB
ejpam-6994	22	25	both	both	DET
ejpam-6994	22	26	short	short	ADJ
ejpam-6994	22	27	-	-	PUNCT
ejpam-6994	22	28	term	term	NOUN
ejpam-6994	22	29	dynamics	dynamic	NOUN
ejpam-6994	22	30	and	and	CCONJ
ejpam-6994	22	31	long	long	ADJ
ejpam-6994	22	32	-	-	PUNCT
ejpam-6994	22	33	term	term	NOUN
ejpam-6994	22	34	decay	decay	NOUN
ejpam-6994	22	35	through	through	ADP
ejpam-6994	22	36	exponential	exponential	ADJ
ejpam-6994	22	37	weighting	weighting	NOUN
ejpam-6994	22	38	[	[	X
ejpam-6994	22	39	9	9	NUM
ejpam-6994	22	40	,	,	PUNCT
ejpam-6994	22	41	10	10	NUM
ejpam-6994	22	42	]	]	PUNCT
ejpam-6994	22	43	.	.	PUNCT
ejpam-6994	23	1	it	it	PRON
ejpam-6994	23	2	generates	generate	VERB
ejpam-6994	23	3	a	a	DET
ejpam-6994	23	4	function	function	NOUN
ejpam-6994	23	5	-	-	PUNCT
ejpam-6994	23	6	like	like	ADJ
ejpam-6994	23	7	representation	representation	NOUN
ejpam-6994	23	8	of	of	ADP
ejpam-6994	23	9	the	the	DET
ejpam-6994	23	10	residual	residual	ADJ
ejpam-6994	23	11	life	life	NOUN
ejpam-6994	23	12	and	and	CCONJ
ejpam-6994	23	13	offers	offer	VERB
ejpam-6994	23	14	sensitivity	sensitivity	NOUN
ejpam-6994	23	15	to	to	ADP
ejpam-6994	23	16	tail	tail	NOUN
ejpam-6994	23	17	changes	change	NOUN
ejpam-6994	23	18	,	,	PUNCT
ejpam-6994	23	19	which	which	DET
ejpam-6994	23	20	moment	moment	NOUN
ejpam-6994	23	21	or	or	CCONJ
ejpam-6994	23	22	pointwise	pointwise	VERB
ejpam-6994	23	23	comparison	comparison	NOUN
ejpam-6994	23	24	typically	typically	ADV
ejpam-6994	23	25	ignores	ignore	VERB
ejpam-6994	23	26	[	[	X
ejpam-6994	23	27	11	11	NUM
ejpam-6994	23	28	]	]	PUNCT
ejpam-6994	23	29	.	.	PUNCT
ejpam-6994	24	1	recent	recent	ADJ
ejpam-6994	24	2	advances	advance	NOUN
ejpam-6994	24	3	in	in	ADP
ejpam-6994	24	4	transform	transform	NOUN
ejpam-6994	24	5	-	-	PUNCT
ejpam-6994	24	6	based	base	VERB
ejpam-6994	24	7	and	and	CCONJ
ejpam-6994	24	8	stochastic	stochastic	ADJ
ejpam-6994	24	9	modelling	modelling	NOUN
ejpam-6994	24	10	can	can	AUX
ejpam-6994	24	11	replicate	replicate	VERB
ejpam-6994	24	12	time	time	NOUN
ejpam-6994	24	13	-	-	PUNCT
ejpam-6994	24	14	dependent	dependent	ADJ
ejpam-6994	24	15	behavior	behavior	NOUN
ejpam-6994	24	16	and	and	CCONJ
ejpam-6994	24	17	long	long	ADJ
ejpam-6994	24	18	-	-	PUNCT
ejpam-6994	24	19	memory	memory	NOUN
ejpam-6994	24	20	phenomena	phenomenon	NOUN
ejpam-6994	24	21	in	in	ADP
ejpam-6994	24	22	both	both	CCONJ
ejpam-6994	24	23	technical	technical	ADJ
ejpam-6994	24	24	and	and	CCONJ
ejpam-6994	24	25	epidemiological	epidemiological	ADJ
ejpam-6994	24	26	processes	process	NOUN
ejpam-6994	24	27	.	.	PUNCT
ejpam-6994	25	1	for	for	ADP
ejpam-6994	25	2	example	example	NOUN
ejpam-6994	25	3	,	,	PUNCT
ejpam-6994	25	4	fractional	fractional	ADJ
ejpam-6994	25	5	and	and	CCONJ
ejpam-6994	25	6	stochastic	stochastic	ADJ
ejpam-6994	25	7	approaches	approach	NOUN
ejpam-6994	25	8	have	have	AUX
ejpam-6994	25	9	recently	recently	ADV
ejpam-6994	25	10	been	be	AUX
ejpam-6994	25	11	used	use	VERB
ejpam-6994	25	12	in	in	ADP
ejpam-6994	25	13	reliability	reliability	NOUN
ejpam-6994	25	14	,	,	PUNCT
ejpam-6994	25	15	contagion	contagion	NOUN
ejpam-6994	25	16	,	,	PUNCT
ejpam-6994	25	17	and	and	CCONJ
ejpam-6994	25	18	other	other	ADJ
ejpam-6994	25	19	performance	performance	NOUN
ejpam-6994	25	20	studies	study	NOUN
ejpam-6994	25	21	across	across	ADP
ejpam-6994	25	22	various	various	ADJ
ejpam-6994	25	23	discrete	discrete	ADJ
ejpam-6994	25	24	and	and	CCONJ
ejpam-6994	25	25	hybrid	hybrid	NOUN
ejpam-6994	25	26	systems	system	NOUN
ejpam-6994	25	27	[	[	X
ejpam-6994	25	28	12	12	NUM
ejpam-6994	25	29	,	,	PUNCT
ejpam-6994	25	30	13	13	NUM
ejpam-6994	25	31	]	]	PUNCT
ejpam-6994	25	32	.	.	PUNCT
ejpam-6994	26	1	the	the	DET
ejpam-6994	26	2	dlt	dlt	PROPN
ejpam-6994	26	3	-	-	PUNCT
ejpam-6994	26	4	order	order	NOUN
ejpam-6994	26	5	in	in	ADP
ejpam-6994	26	6	discrete	discrete	ADJ
ejpam-6994	26	7	dependability	dependability	NOUN
ejpam-6994	26	8	systems	system	NOUN
ejpam-6994	26	9	was	be	AUX
ejpam-6994	26	10	introduced	introduce	VERB
ejpam-6994	26	11	because	because	SCONJ
ejpam-6994	26	12	such	such	ADJ
ejpam-6994	26	13	research	research	NOUN
ejpam-6994	26	14	shows	show	VERB
ejpam-6994	26	15	the	the	DET
ejpam-6994	26	16	growing	grow	VERB
ejpam-6994	26	17	need	need	NOUN
ejpam-6994	26	18	for	for	ADP
ejpam-6994	26	19	distribution	distribution	NOUN
ejpam-6994	26	20	-	-	PUNCT
ejpam-6994	26	21	sensitive	sensitive	ADJ
ejpam-6994	26	22	and	and	CCONJ
ejpam-6994	26	23	operationally	operationally	ADV
ejpam-6994	26	24	interpretable	interpretable	ADJ
ejpam-6994	26	25	analytical	analytical	ADJ
ejpam-6994	26	26	tools	tool	NOUN
ejpam-6994	26	27	.	.	PUNCT
ejpam-6994	27	1	1.1	1.1	NUM
ejpam-6994	27	2	.	.	PUNCT
ejpam-6994	28	1	research	research	NOUN
ejpam-6994	28	2	motivations	motivation	NOUN
ejpam-6994	28	3	and	and	CCONJ
ejpam-6994	28	4	gaps	gap	NOUN
ejpam-6994	28	5	although	although	SCONJ
ejpam-6994	28	6	it	it	PRON
ejpam-6994	28	7	has	have	VERB
ejpam-6994	28	8	good	good	ADJ
ejpam-6994	28	9	analytical	analytical	ADJ
ejpam-6994	28	10	properties	property	NOUN
ejpam-6994	28	11	,	,	PUNCT
ejpam-6994	28	12	the	the	DET
ejpam-6994	28	13	discrete	discrete	ADJ
ejpam-6994	28	14	laplace	laplace	NOUN
ejpam-6994	28	15	transform	transform	NOUN
ejpam-6994	28	16	(	(	PUNCT
ejpam-6994	28	17	dlt	dlt	PROPN
ejpam-6994	28	18	)	)	PUNCT
ejpam-6994	28	19	has	have	AUX
ejpam-6994	28	20	not	not	PART
ejpam-6994	28	21	been	be	AUX
ejpam-6994	28	22	fully	fully	ADV
ejpam-6994	28	23	exploited	exploit	VERB
ejpam-6994	28	24	to	to	PART
ejpam-6994	28	25	serve	serve	VERB
ejpam-6994	28	26	as	as	ADP
ejpam-6994	28	27	a	a	DET
ejpam-6994	28	28	framework	framework	NOUN
ejpam-6994	28	29	for	for	ADP
ejpam-6994	28	30	formal	formal	ADJ
ejpam-6994	28	31	stochastic	stochastic	NOUN
ejpam-6994	28	32	ordering	ordering	NOUN
ejpam-6994	28	33	[	[	X
ejpam-6994	28	34	14	14	NUM
ejpam-6994	28	35	]	]	PUNCT
ejpam-6994	28	36	.	.	PUNCT
ejpam-6994	29	1	work	work	NOUN
ejpam-6994	29	2	on	on	ADP
ejpam-6994	29	3	discrete	discrete	ADJ
ejpam-6994	29	4	stochastic	stochastic	ADJ
ejpam-6994	29	5	orders	order	NOUN
ejpam-6994	29	6	still	still	ADV
ejpam-6994	29	7	suffers	suffer	VERB
ejpam-6994	29	8	from	from	ADP
ejpam-6994	29	9	important	important	ADJ
ejpam-6994	29	10	methodological	methodological	ADJ
ejpam-6994	29	11	and	and	CCONJ
ejpam-6994	29	12	practical	practical	ADJ
ejpam-6994	29	13	drawbacks	drawback	NOUN
ejpam-6994	29	14	,	,	PUNCT
ejpam-6994	29	15	particularly	particularly	ADV
ejpam-6994	29	16	in	in	ADP
ejpam-6994	29	17	the	the	DET
ejpam-6994	29	18	context	context	NOUN
ejpam-6994	29	19	of	of	ADP
ejpam-6994	29	20	reliability	reliability	NOUN
ejpam-6994	29	21	and	and	CCONJ
ejpam-6994	29	22	service	service	NOUN
ejpam-6994	29	23	systems	system	NOUN
ejpam-6994	29	24	[	[	X
ejpam-6994	29	25	15	15	NUM
ejpam-6994	29	26	]	]	PUNCT
ejpam-6994	29	27	.	.	PUNCT
ejpam-6994	30	1	classical	classical	ADJ
ejpam-6994	30	2	orders	order	NOUN
ejpam-6994	30	3	(	(	PUNCT
ejpam-6994	30	4	like	like	ADP
ejpam-6994	30	5	the	the	DET
ejpam-6994	30	6	conventional	conventional	ADJ
ejpam-6994	30	7	stochastic	stochastic	NOUN
ejpam-6994	30	8	or	or	CCONJ
ejpam-6994	30	9	hazard	hazard	NOUN
ejpam-6994	30	10	rate	rate	NOUN
ejpam-6994	30	11	orders	order	NOUN
ejpam-6994	30	12	)	)	PUNCT
ejpam-6994	30	13	possess	possess	VERB
ejpam-6994	30	14	low	low	ADJ
ejpam-6994	30	15	discriminative	discriminative	NOUN
ejpam-6994	30	16	resolution	resolution	NOUN
ejpam-6994	30	17	.	.	PUNCT
ejpam-6994	31	1	common	common	ADJ
ejpam-6994	31	2	techniques	technique	NOUN
ejpam-6994	31	3	inadequately	inadequately	ADV
ejpam-6994	31	4	separate	separate	VERB
ejpam-6994	31	5	well	well	ADV
ejpam-6994	31	6	-	-	PUNCT
ejpam-6994	31	7	overlapping	overlap	VERB
ejpam-6994	31	8	or	or	CCONJ
ejpam-6994	31	9	intersecting	intersecting	ADJ
ejpam-6994	31	10	distributions	distribution	NOUN
ejpam-6994	31	11	,	,	PUNCT
ejpam-6994	31	12	especially	especially	ADV
ejpam-6994	31	13	when	when	SCONJ
ejpam-6994	31	14	the	the	DET
ejpam-6994	31	15	systems	system	NOUN
ejpam-6994	31	16	are	be	AUX
ejpam-6994	31	17	subject	subject	ADJ
ejpam-6994	31	18	to	to	ADP
ejpam-6994	31	19	time	time	NOUN
ejpam-6994	31	20	-	-	PUNCT
ejpam-6994	31	21	dependent	dependent	ADJ
ejpam-6994	31	22	behavior	behavior	NOUN
ejpam-6994	31	23	or	or	CCONJ
ejpam-6994	31	24	phase	phase	NOUN
ejpam-6994	31	25	-	-	PUNCT
ejpam-6994	31	26	dependent	dependent	ADJ
ejpam-6994	31	27	failure	failure	NOUN
ejpam-6994	31	28	modes[16	modes[16	NOUN
ejpam-6994	31	29	]	]	PUNCT
ejpam-6994	31	30	.	.	PUNCT
ejpam-6994	32	1	second	second	ADJ
ejpam-6994	32	2	,	,	PUNCT
ejpam-6994	32	3	the	the	DET
ejpam-6994	32	4	present	present	ADJ
ejpam-6994	32	5	work	work	NOUN
ejpam-6994	32	6	is	be	AUX
ejpam-6994	32	7	devoid	devoid	ADJ
ejpam-6994	32	8	of	of	ADP
ejpam-6994	32	9	modeling	model	VERB
ejpam-6994	32	10	higher	high	ADJ
ejpam-6994	32	11	-	-	PUNCT
ejpam-6994	32	12	order	order	NOUN
ejpam-6994	32	13	.	.	PUNCT
ejpam-6994	33	1	it	it	PRON
ejpam-6994	33	2	fails	fail	VERB
ejpam-6994	33	3	to	to	PART
ejpam-6994	33	4	accurately	accurately	ADV
ejpam-6994	33	5	model	model	VERB
ejpam-6994	33	6	tail	tail	NOUN
ejpam-6994	33	7	risk	risk	NOUN
ejpam-6994	33	8	,	,	PUNCT
ejpam-6994	33	9	long	long	ADJ
ejpam-6994	33	10	-	-	PUNCT
ejpam-6994	33	11	range	range	NOUN
ejpam-6994	33	12	dependence	dependence	NOUN
ejpam-6994	33	13	,	,	PUNCT
ejpam-6994	33	14	and	and	CCONJ
ejpam-6994	33	15	the	the	DET
ejpam-6994	33	16	multi	multi	ADJ
ejpam-6994	33	17	-	-	ADJ
ejpam-6994	33	18	stage	stage	ADJ
ejpam-6994	33	19	degradation	degradation	NOUN
ejpam-6994	33	20	patterns	pattern	NOUN
ejpam-6994	33	21	that	that	PRON
ejpam-6994	33	22	are	be	AUX
ejpam-6994	33	23	critical	critical	ADJ
ejpam-6994	33	24	for	for	ADP
ejpam-6994	33	25	understanding	understand	VERB
ejpam-6994	33	26	modern	modern	ADJ
ejpam-6994	33	27	systems	system	NOUN
ejpam-6994	33	28	with	with	ADP
ejpam-6994	33	29	tiered	tiered	ADJ
ejpam-6994	33	30	service	service	NOUN
ejpam-6994	33	31	logic	logic	NOUN
ejpam-6994	33	32	or	or	CCONJ
ejpam-6994	33	33	tiered	tiere	VERB
ejpam-6994	33	34	infrastructure	infrastructure	NOUN
ejpam-6994	33	35	[	[	X
ejpam-6994	33	36	17	17	NUM
ejpam-6994	33	37	]	]	PUNCT
ejpam-6994	33	38	.	.	PUNCT
ejpam-6994	34	1	third	third	ADJ
ejpam-6994	34	2	,	,	PUNCT
ejpam-6994	34	3	and	and	CCONJ
ejpam-6994	34	4	most	most	ADV
ejpam-6994	34	5	importantly	importantly	ADV
ejpam-6994	34	6	,	,	PUNCT
ejpam-6994	34	7	there	there	PRON
ejpam-6994	34	8	are	be	VERB
ejpam-6994	34	9	no	no	DET
ejpam-6994	34	10	stochastic	stochastic	ADJ
ejpam-6994	34	11	formulations	formulation	NOUN
ejpam-6994	34	12	based	base	VERB
ejpam-6994	34	13	on	on	ADP
ejpam-6994	34	14	transformations	transformation	NOUN
ejpam-6994	34	15	for	for	ADP
ejpam-6994	34	16	discrete	discrete	ADJ
ejpam-6994	34	17	systems	system	NOUN
ejpam-6994	34	18	.	.	PUNCT
ejpam-6994	35	1	laplace	laplace	NOUN
ejpam-6994	35	2	transforms	transform	VERB
ejpam-6994	35	3	and	and	CCONJ
ejpam-6994	35	4	moment	moment	NOUN
ejpam-6994	35	5	-	-	PUNCT
ejpam-6994	35	6	generating	generate	VERB
ejpam-6994	35	7	functions	function	NOUN
ejpam-6994	35	8	are	be	AUX
ejpam-6994	35	9	the	the	DET
ejpam-6994	35	10	cornerstones	cornerstone	NOUN
ejpam-6994	35	11	of	of	ADP
ejpam-6994	35	12	continuous	continuous	ADJ
ejpam-6994	35	13	-	-	PUNCT
ejpam-6994	35	14	time	time	NOUN
ejpam-6994	35	15	stochastic	stochastic	ADJ
ejpam-6994	35	16	analysis	analysis	NOUN
ejpam-6994	35	17	[	[	X
ejpam-6994	35	18	1	1	NUM
ejpam-6994	35	19	,	,	PUNCT
ejpam-6994	35	20	5	5	NUM
ejpam-6994	35	21	]	]	PUNCT
ejpam-6994	35	22	;	;	PUNCT
ejpam-6994	35	23	however	however	ADV
ejpam-6994	35	24	,	,	PUNCT
ejpam-6994	35	25	the	the	DET
ejpam-6994	35	26	discrete	discrete	ADJ
ejpam-6994	35	27	-	-	PUNCT
ejpam-6994	35	28	time	time	NOUN
ejpam-6994	35	29	equivalent	equivalent	NOUN
ejpam-6994	35	30	has	have	AUX
ejpam-6994	35	31	still	still	ADV
ejpam-6994	35	32	not	not	PART
ejpam-6994	35	33	been	be	AUX
ejpam-6994	35	34	developed	develop	VERB
ejpam-6994	35	35	or	or	CCONJ
ejpam-6994	35	36	is	be	AUX
ejpam-6994	35	37	only	only	ADV
ejpam-6994	35	38	a.	a.	NOUN
ejpam-6994	35	39	a.	a.	NOUN
ejpam-6994	35	40	shokeralla	shokeralla	PROPN
ejpam-6994	35	41	/	/	SYM
ejpam-6994	35	42	eur	eur	PROPN
ejpam-6994	35	43	.	.	PUNCT
ejpam-6994	36	1	j.	j.	PROPN
ejpam-6994	36	2	pure	pure	PROPN
ejpam-6994	36	3	appl	appl	PROPN
ejpam-6994	36	4	.	.	PROPN
ejpam-6994	36	5	math	math	PROPN
ejpam-6994	36	6	,	,	PUNCT
ejpam-6994	36	7	18	18	NUM
ejpam-6994	36	8	(	(	PUNCT
ejpam-6994	36	9	4	4	NUM
ejpam-6994	36	10	)	)	PUNCT
ejpam-6994	36	11	(	(	PUNCT
ejpam-6994	36	12	2025	2025	NUM
ejpam-6994	36	13	)	)	PUNCT
ejpam-6994	36	14	,	,	PUNCT
ejpam-6994	36	15	6994	6994	NUM
ejpam-6994	36	16	3	3	NUM
ejpam-6994	36	17	of	of	ADP
ejpam-6994	36	18	22	22	NUM
ejpam-6994	36	19	used	use	VERB
ejpam-6994	36	20	[	[	X
ejpam-6994	36	21	18	18	NUM
ejpam-6994	36	22	,	,	PUNCT
ejpam-6994	36	23	19	19	NUM
ejpam-6994	36	24	]	]	PUNCT
ejpam-6994	36	25	.	.	PUNCT
ejpam-6994	37	1	existing	exist	VERB
ejpam-6994	37	2	stochastic	stochastic	ADJ
ejpam-6994	37	3	orders	order	NOUN
ejpam-6994	37	4	in	in	ADP
ejpam-6994	37	5	discrete	discrete	ADJ
ejpam-6994	37	6	-	-	PUNCT
ejpam-6994	37	7	time	time	NOUN
ejpam-6994	37	8	systems	system	NOUN
ejpam-6994	37	9	,	,	PUNCT
ejpam-6994	37	10	such	such	ADJ
ejpam-6994	37	11	as	as	ADP
ejpam-6994	37	12	the	the	DET
ejpam-6994	37	13	usual	usual	ADJ
ejpam-6994	37	14	and	and	CCONJ
ejpam-6994	37	15	hazard	hazard	NOUN
ejpam-6994	37	16	rate	rate	NOUN
ejpam-6994	37	17	orders	order	NOUN
ejpam-6994	37	18	,	,	PUNCT
ejpam-6994	37	19	have	have	AUX
ejpam-6994	37	20	limited	limit	VERB
ejpam-6994	37	21	discriminatory	discriminatory	ADJ
ejpam-6994	37	22	resolution	resolution	NOUN
ejpam-6994	37	23	when	when	SCONJ
ejpam-6994	37	24	survival	survival	NOUN
ejpam-6994	37	25	functions	function	NOUN
ejpam-6994	37	26	intersect	intersect	ADJ
ejpam-6994	37	27	or	or	CCONJ
ejpam-6994	37	28	when	when	SCONJ
ejpam-6994	37	29	the	the	DET
ejpam-6994	37	30	underlying	underlying	ADJ
ejpam-6994	37	31	distributions	distribution	NOUN
ejpam-6994	37	32	exhibit	exhibit	VERB
ejpam-6994	37	33	heavy	heavy	ADJ
ejpam-6994	37	34	tails	tail	NOUN
ejpam-6994	37	35	or	or	CCONJ
ejpam-6994	37	36	multimodality	multimodality	NOUN
ejpam-6994	37	37	.	.	PUNCT
ejpam-6994	38	1	recent	recent	ADJ
ejpam-6994	38	2	advances	advance	NOUN
ejpam-6994	38	3	in	in	ADP
ejpam-6994	38	4	transform	transform	NOUN
ejpam-6994	38	5	-	-	PUNCT
ejpam-6994	38	6	based	base	VERB
ejpam-6994	38	7	and	and	CCONJ
ejpam-6994	38	8	fractional	fractional	ADJ
ejpam-6994	38	9	stochastic	stochastic	NOUN
ejpam-6994	38	10	modeling	modeling	NOUN
ejpam-6994	38	11	furthermore	furthermore	ADV
ejpam-6994	38	12	,	,	PUNCT
ejpam-6994	38	13	a	a	DET
ejpam-6994	38	14	number	number	NOUN
ejpam-6994	38	15	of	of	ADP
ejpam-6994	38	16	recent	recent	ADJ
ejpam-6994	38	17	works	work	NOUN
ejpam-6994	38	18	note	note	VERB
ejpam-6994	38	19	the	the	DET
ejpam-6994	38	20	coupling	coupling	NOUN
ejpam-6994	38	21	of	of	ADP
ejpam-6994	38	22	stochastic	stochastic	ADJ
ejpam-6994	38	23	and	and	CCONJ
ejpam-6994	38	24	fractional	fractional	ADJ
ejpam-6994	38	25	approaches	approach	NOUN
ejpam-6994	38	26	to	to	ADP
ejpam-6994	38	27	better	well	ADJ
ejpam-6994	38	28	address	address	NOUN
ejpam-6994	38	29	system	system	NOUN
ejpam-6994	38	30	memory	memory	NOUN
ejpam-6994	38	31	and	and	CCONJ
ejpam-6994	38	32	nonlinear	nonlinear	ADJ
ejpam-6994	38	33	structural	structural	ADJ
ejpam-6994	38	34	behavior	behavior	NOUN
ejpam-6994	38	35	.	.	PUNCT
ejpam-6994	39	1	stochastic	stochastic	ADJ
ejpam-6994	39	2	–	–	PUNCT
ejpam-6994	39	3	fractional	fractional	ADJ
ejpam-6994	39	4	and	and	CCONJ
ejpam-6994	39	5	machinelearning	machinelearning	NOUN
ejpam-6994	39	6	approaches	approach	NOUN
ejpam-6994	39	7	have	have	AUX
ejpam-6994	39	8	emerged	emerge	VERB
ejpam-6994	39	9	for	for	ADP
ejpam-6994	39	10	uncertainty	uncertainty	NOUN
ejpam-6994	39	11	assessment	assessment	NOUN
ejpam-6994	39	12	in	in	ADP
ejpam-6994	39	13	systems	system	NOUN
ejpam-6994	39	14	with	with	ADP
ejpam-6994	39	15	discrete	discrete	ADJ
ejpam-6994	39	16	events	event	NOUN
ejpam-6994	39	17	and	and	CCONJ
ejpam-6994	39	18	biological	biological	ADJ
ejpam-6994	39	19	applications	application	NOUN
ejpam-6994	39	20	[	[	X
ejpam-6994	39	21	20	20	NUM
ejpam-6994	39	22	,	,	PUNCT
ejpam-6994	39	23	21	21	NUM
ejpam-6994	39	24	]	]	PUNCT
ejpam-6994	39	25	.	.	PUNCT
ejpam-6994	40	1	these	these	DET
ejpam-6994	40	2	contributions	contribution	NOUN
ejpam-6994	40	3	show	show	VERB
ejpam-6994	40	4	that	that	SCONJ
ejpam-6994	40	5	there	there	PRON
ejpam-6994	40	6	is	be	VERB
ejpam-6994	40	7	a	a	DET
ejpam-6994	40	8	clear	clear	ADJ
ejpam-6994	40	9	opportunity	opportunity	NOUN
ejpam-6994	40	10	for	for	SCONJ
ejpam-6994	40	11	transform	transform	NOUN
ejpam-6994	40	12	-	-	PUNCT
ejpam-6994	40	13	based	base	VERB
ejpam-6994	40	14	stochastic	stochastic	ADJ
ejpam-6994	40	15	orders	order	NOUN
ejpam-6994	40	16	,	,	PUNCT
ejpam-6994	40	17	like	like	ADP
ejpam-6994	40	18	the	the	DET
ejpam-6994	40	19	dlt	dlt	PROPN
ejpam-6994	40	20	-	-	PUNCT
ejpam-6994	40	21	order	order	NOUN
ejpam-6994	40	22	proposed	propose	VERB
ejpam-6994	40	23	herein	herein	NOUN
ejpam-6994	40	24	,	,	PUNCT
ejpam-6994	40	25	to	to	PART
ejpam-6994	40	26	help	help	AUX
ejpam-6994	40	27	contribute	contribute	VERB
ejpam-6994	40	28	to	to	ADP
ejpam-6994	40	29	established	establish	VERB
ejpam-6994	40	30	unions	union	NOUN
ejpam-6994	40	31	and	and	CCONJ
ejpam-6994	40	32	overcome	overcome	VERB
ejpam-6994	40	33	limitations	limitation	NOUN
ejpam-6994	40	34	for	for	ADP
ejpam-6994	40	35	tail	tail	NOUN
ejpam-6994	40	36	ordering	ordering	NOUN
ejpam-6994	40	37	and	and	CCONJ
ejpam-6994	40	38	reliability	reliability	NOUN
ejpam-6994	40	39	assessments	assessment	NOUN
ejpam-6994	40	40	under	under	ADP
ejpam-6994	40	41	non	non	ADJ
ejpam-6994	40	42	-	-	ADJ
ejpam-6994	40	43	log	log	ADJ
ejpam-6994	40	44	-	-	PUNCT
ejpam-6994	40	45	concave	concave	NOUN
ejpam-6994	40	46	settings	setting	NOUN
ejpam-6994	40	47	.	.	PUNCT
ejpam-6994	41	1	1.2	1.2	NUM
ejpam-6994	41	2	.	.	PUNCT
ejpam-6994	42	1	the	the	DET
ejpam-6994	42	2	proposed	propose	VERB
ejpam-6994	42	3	framework	framework	NOUN
ejpam-6994	42	4	:	:	PUNCT
ejpam-6994	42	5	the	the	DET
ejpam-6994	42	6	dlt	dlt	PROPN
ejpam-6994	42	7	-	-	PUNCT
ejpam-6994	42	8	order	order	NOUN
ejpam-6994	42	9	to	to	PART
ejpam-6994	42	10	fill	fill	VERB
ejpam-6994	42	11	this	this	DET
ejpam-6994	42	12	gap	gap	NOUN
ejpam-6994	42	13	,	,	PUNCT
ejpam-6994	42	14	we	we	PRON
ejpam-6994	42	15	introduce	introduce	VERB
ejpam-6994	42	16	a	a	DET
ejpam-6994	42	17	new	new	ADJ
ejpam-6994	42	18	framework	framework	NOUN
ejpam-6994	42	19	,	,	PUNCT
ejpam-6994	42	20	the	the	DET
ejpam-6994	42	21	dlt	dlt	PROPN
ejpam-6994	42	22	order	order	NOUN
ejpam-6994	42	23	,	,	PUNCT
ejpam-6994	42	24	which	which	PRON
ejpam-6994	42	25	is	be	AUX
ejpam-6994	42	26	a	a	DET
ejpam-6994	42	27	stochastic	stochastic	ADJ
ejpam-6994	42	28	order	order	NOUN
ejpam-6994	42	29	defined	define	VERB
ejpam-6994	42	30	based	base	VERB
ejpam-6994	42	31	on	on	ADP
ejpam-6994	42	32	the	the	DET
ejpam-6994	42	33	discrete	discrete	ADJ
ejpam-6994	42	34	laplace	laplace	NOUN
ejpam-6994	42	35	transformation	transformation	NOUN
ejpam-6994	42	36	of	of	ADP
ejpam-6994	42	37	residual	residual	ADJ
ejpam-6994	42	38	life	life	NOUN
ejpam-6994	42	39	distributions	distribution	NOUN
ejpam-6994	42	40	.	.	PUNCT
ejpam-6994	43	1	this	this	PRON
ejpam-6994	43	2	is	be	AUX
ejpam-6994	43	3	a	a	DET
ejpam-6994	43	4	small	small	ADJ
ejpam-6994	43	5	extension	extension	NOUN
ejpam-6994	43	6	of	of	ADP
ejpam-6994	43	7	the	the	DET
ejpam-6994	43	8	dlt	dlt	PROPN
ejpam-6994	43	9	’s	’s	PART
ejpam-6994	43	10	inherent	inherent	ADJ
ejpam-6994	43	11	structure	structure	NOUN
ejpam-6994	43	12	to	to	PART
ejpam-6994	43	13	enable	enable	VERB
ejpam-6994	43	14	strong	strong	ADJ
ejpam-6994	43	15	and	and	CCONJ
ejpam-6994	43	16	interpretable	interpretable	ADJ
ejpam-6994	43	17	comparisons	comparison	NOUN
ejpam-6994	43	18	across	across	ADP
ejpam-6994	43	19	discrete	discrete	ADJ
ejpam-6994	43	20	-	-	PUNCT
ejpam-6994	43	21	time	time	NOUN
ejpam-6994	43	22	systems	system	NOUN
ejpam-6994	43	23	.	.	PUNCT
ejpam-6994	44	1	advantages	advantage	NOUN
ejpam-6994	44	2	of	of	ADP
ejpam-6994	44	3	the	the	DET
ejpam-6994	44	4	suggested	suggest	VERB
ejpam-6994	44	5	dlt	dlt	PROPN
ejpam-6994	44	6	order	order	NOUN
ejpam-6994	44	7	:	:	PUNCT
ejpam-6994	44	8	retaining	retain	VERB
ejpam-6994	44	9	important	important	ADJ
ejpam-6994	44	10	stochastic	stochastic	ADJ
ejpam-6994	44	11	properties	property	NOUN
ejpam-6994	44	12	like	like	ADP
ejpam-6994	44	13	monotonicity	monotonicity	NOUN
ejpam-6994	44	14	,	,	PUNCT
ejpam-6994	44	15	transitivity	transitivity	NOUN
ejpam-6994	44	16	,	,	PUNCT
ejpam-6994	44	17	and	and	CCONJ
ejpam-6994	44	18	closure	closure	NOUN
ejpam-6994	44	19	under	under	ADP
ejpam-6994	44	20	convolution	convolution	NOUN
ejpam-6994	44	21	and	and	CCONJ
ejpam-6994	44	22	mixture	mixture	NOUN
ejpam-6994	44	23	operations	operation	NOUN
ejpam-6994	44	24	[	[	X
ejpam-6994	44	25	22	22	NUM
ejpam-6994	44	26	,	,	PUNCT
ejpam-6994	44	27	23	23	NUM
ejpam-6994	44	28	]	]	PUNCT
ejpam-6994	44	29	.	.	PUNCT
ejpam-6994	45	1	the	the	DET
ejpam-6994	45	2	tail	tail	NOUN
ejpam-6994	45	3	behavior	behavior	NOUN
ejpam-6994	45	4	of	of	ADP
ejpam-6994	45	5	the	the	DET
ejpam-6994	45	6	distribution	distribution	NOUN
ejpam-6994	45	7	provides	provide	VERB
ejpam-6994	45	8	a	a	DET
ejpam-6994	45	9	complete	complete	ADJ
ejpam-6994	45	10	specification	specification	NOUN
ejpam-6994	45	11	of	of	ADP
ejpam-6994	45	12	reliability	reliability	NOUN
ejpam-6994	45	13	performance	performance	NOUN
ejpam-6994	45	14	compared	compare	VERB
ejpam-6994	45	15	to	to	PART
ejpam-6994	45	16	pointwise	pointwise	VERB
ejpam-6994	45	17	or	or	CCONJ
ejpam-6994	45	18	moment	moment	NOUN
ejpam-6994	45	19	-	-	PUNCT
ejpam-6994	45	20	based	base	VERB
ejpam-6994	45	21	approaches	approach	NOUN
ejpam-6994	45	22	[	[	X
ejpam-6994	45	23	24	24	NUM
ejpam-6994	45	24	,	,	PUNCT
ejpam-6994	45	25	25	25	NUM
ejpam-6994	45	26	]	]	PUNCT
ejpam-6994	45	27	.	.	PUNCT
ejpam-6994	46	1	efficient	efficient	ADJ
ejpam-6994	46	2	computation	computation	NOUN
ejpam-6994	46	3	with	with	ADP
ejpam-6994	46	4	empirical	empirical	ADJ
ejpam-6994	46	5	estimation	estimation	NOUN
ejpam-6994	46	6	complexity	complexity	NOUN
ejpam-6994	46	7	of	of	ADP
ejpam-6994	46	8	o(n	o(n	NOUN
ejpam-6994	46	9	)	)	PUNCT
ejpam-6994	46	10	for	for	ADP
ejpam-6994	46	11	distributions	distribution	NOUN
ejpam-6994	46	12	with	with	ADP
ejpam-6994	46	13	n	n	ADP
ejpam-6994	46	14	support	support	NOUN
ejpam-6994	46	15	points	point	NOUN
ejpam-6994	47	1	[	[	X
ejpam-6994	47	2	26	26	NUM
ejpam-6994	47	3	]	]	PUNCT
ejpam-6994	47	4	.	.	PUNCT
ejpam-6994	48	1	interpretability	interpretability	NOUN
ejpam-6994	48	2	:	:	PUNCT
ejpam-6994	48	3	a	a	DET
ejpam-6994	48	4	transform	transform	NOUN
ejpam-6994	48	5	-	-	PUNCT
ejpam-6994	48	6	based	base	VERB
ejpam-6994	48	7	extension	extension	NOUN
ejpam-6994	48	8	of	of	ADP
ejpam-6994	48	9	classical	classical	ADJ
ejpam-6994	48	10	stochastic	stochastic	ADJ
ejpam-6994	48	11	orderings	ordering	NOUN
ejpam-6994	48	12	[	[	X
ejpam-6994	48	13	27	27	NUM
ejpam-6994	48	14	,	,	PUNCT
ejpam-6994	48	15	28	28	NUM
ejpam-6994	48	16	]	]	PUNCT
ejpam-6994	48	17	.	.	PUNCT
ejpam-6994	49	1	1.3	1.3	NUM
ejpam-6994	49	2	.	.	PUNCT
ejpam-6994	50	1	contributions	contribution	NOUN
ejpam-6994	50	2	of	of	ADP
ejpam-6994	50	3	the	the	DET
ejpam-6994	50	4	paper	paper	NOUN
ejpam-6994	50	5	the	the	DET
ejpam-6994	50	6	following	follow	VERB
ejpam-6994	50	7	are	be	AUX
ejpam-6994	50	8	the	the	DET
ejpam-6994	50	9	most	most	ADV
ejpam-6994	50	10	salient	salient	ADJ
ejpam-6994	50	11	contributions	contribution	NOUN
ejpam-6994	50	12	of	of	ADP
ejpam-6994	50	13	this	this	DET
ejpam-6994	50	14	paper	paper	NOUN
ejpam-6994	50	15	:	:	PUNCT
ejpam-6994	50	16	the	the	DET
ejpam-6994	50	17	theoretical	theoretical	ADJ
ejpam-6994	50	18	formulation	formulation	NOUN
ejpam-6994	50	19	is	be	AUX
ejpam-6994	50	20	as	as	SCONJ
ejpam-6994	50	21	follows	follow	VERB
ejpam-6994	50	22	:	:	PUNCT
ejpam-6994	50	23	the	the	DET
ejpam-6994	50	24	dlt	dlt	PROPN
ejpam-6994	50	25	order	order	NOUN
ejpam-6994	50	26	is	be	AUX
ejpam-6994	50	27	formally	formally	ADV
ejpam-6994	50	28	defined	define	VERB
ejpam-6994	50	29	in	in	ADP
ejpam-6994	50	30	section	section	NOUN
ejpam-6994	50	31	3	3	NUM
ejpam-6994	50	32	,	,	PUNCT
ejpam-6994	50	33	accompanied	accompany	VERB
ejpam-6994	50	34	by	by	ADP
ejpam-6994	50	35	a	a	DET
ejpam-6994	50	36	rigorous	rigorous	ADJ
ejpam-6994	50	37	examination	examination	NOUN
ejpam-6994	50	38	of	of	ADP
ejpam-6994	50	39	its	its	PRON
ejpam-6994	50	40	various	various	ADJ
ejpam-6994	50	41	properties	property	NOUN
ejpam-6994	50	42	.	.	PUNCT
ejpam-6994	51	1	furthermore	furthermore	ADV
ejpam-6994	51	2	,	,	PUNCT
ejpam-6994	51	3	evidence	evidence	NOUN
ejpam-6994	51	4	is	be	AUX
ejpam-6994	51	5	presented	present	VERB
ejpam-6994	51	6	demonstrating	demonstrate	VERB
ejpam-6994	51	7	the	the	DET
ejpam-6994	51	8	presence	presence	NOUN
ejpam-6994	51	9	and/or	and/or	CCONJ
ejpam-6994	51	10	extension	extension	NOUN
ejpam-6994	51	11	of	of	ADP
ejpam-6994	51	12	classical	classical	ADJ
ejpam-6994	51	13	orders	order	NOUN
ejpam-6994	51	14	,	,	PUNCT
ejpam-6994	51	15	including	include	VERB
ejpam-6994	51	16	those	those	PRON
ejpam-6994	51	17	of	of	ADP
ejpam-6994	51	18	the	the	DET
ejpam-6994	51	19	standard	standard	ADJ
ejpam-6994	51	20	stochastic	stochastic	NOUN
ejpam-6994	51	21	and	and	CCONJ
ejpam-6994	51	22	hazard	hazard	NOUN
ejpam-6994	51	23	rate	rate	NOUN
ejpam-6994	51	24	orders	order	NOUN
ejpam-6994	51	25	[	[	X
ejpam-6994	51	26	29	29	NUM
ejpam-6994	51	27	]	]	PUNCT
ejpam-6994	51	28	.	.	PUNCT
ejpam-6994	52	1	the	the	DET
ejpam-6994	52	2	present	present	ADJ
ejpam-6994	52	3	study	study	NOUN
ejpam-6994	52	4	is	be	AUX
ejpam-6994	52	5	characterized	characterize	VERB
ejpam-6994	52	6	by	by	ADP
ejpam-6994	52	7	a	a	DET
ejpam-6994	52	8	methodological	methodological	ADJ
ejpam-6994	52	9	innovation	innovation	NOUN
ejpam-6994	52	10	.	.	PUNCT
ejpam-6994	53	1	we	we	PRON
ejpam-6994	53	2	hereby	hereby	ADV
ejpam-6994	53	3	present	present	VERB
ejpam-6994	53	4	a	a	DET
ejpam-6994	53	5	novel	novel	ADJ
ejpam-6994	53	6	scalable	scalable	ADJ
ejpam-6994	53	7	method	method	NOUN
ejpam-6994	53	8	for	for	ADP
ejpam-6994	53	9	computing	compute	VERB
ejpam-6994	53	10	discrete	discrete	ADJ
ejpam-6994	53	11	laplace	laplace	NOUN
ejpam-6994	53	12	transform	transform	NOUN
ejpam-6994	53	13	(	(	PUNCT
ejpam-6994	53	14	dlt)-based	dlt)-base	VERB
ejpam-6994	53	15	stochastic	stochastic	ADJ
ejpam-6994	53	16	orderings	ordering	NOUN
ejpam-6994	53	17	and	and	CCONJ
ejpam-6994	53	18	demonstrate	demonstrate	VERB
ejpam-6994	53	19	its	its	PRON
ejpam-6994	53	20	robustness	robustness	NOUN
ejpam-6994	53	21	with	with	ADP
ejpam-6994	53	22	sensitivity	sensitivity	NOUN
ejpam-6994	53	23	analysis	analysis	NOUN
ejpam-6994	53	24	conducted	conduct	VERB
ejpam-6994	53	25	on	on	ADP
ejpam-6994	53	26	both	both	CCONJ
ejpam-6994	53	27	synthetic	synthetic	ADJ
ejpam-6994	53	28	and	and	CCONJ
ejpam-6994	53	29	real	real	ADJ
ejpam-6994	53	30	data	datum	NOUN
ejpam-6994	53	31	[	[	X
ejpam-6994	53	32	8	8	NUM
ejpam-6994	53	33	,	,	PUNCT
ejpam-6994	53	34	30	30	NUM
ejpam-6994	53	35	,	,	PUNCT
ejpam-6994	53	36	31	31	NUM
ejpam-6994	53	37	]	]	PUNCT
ejpam-6994	53	38	.	.	PUNCT
ejpam-6994	54	1	the	the	DET
ejpam-6994	54	2	following	follow	VERB
ejpam-6994	54	3	section	section	NOUN
ejpam-6994	54	4	will	will	AUX
ejpam-6994	54	5	address	address	VERB
ejpam-6994	54	6	the	the	DET
ejpam-6994	54	7	practical	practical	ADJ
ejpam-6994	54	8	implications	implication	NOUN
ejpam-6994	54	9	of	of	ADP
ejpam-6994	54	10	the	the	DET
ejpam-6994	54	11	aforementioned	aforementioned	ADJ
ejpam-6994	54	12	points	point	NOUN
ejpam-6994	54	13	.	.	PUNCT
ejpam-6994	55	1	the	the	DET
ejpam-6994	55	2	performance	performance	NOUN
ejpam-6994	55	3	of	of	ADP
ejpam-6994	55	4	the	the	DET
ejpam-6994	55	5	proposed	propose	VERB
ejpam-6994	55	6	method	method	NOUN
ejpam-6994	55	7	is	be	AUX
ejpam-6994	55	8	evaluated	evaluate	VERB
ejpam-6994	55	9	using	use	VERB
ejpam-6994	55	10	data	datum	NOUN
ejpam-6994	55	11	from	from	ADP
ejpam-6994	55	12	a	a	DET
ejpam-6994	55	13	real	real	ADJ
ejpam-6994	55	14	call	call	NOUN
ejpam-6994	55	15	center	center	NOUN
ejpam-6994	55	16	.	.	PUNCT
ejpam-6994	56	1	the	the	DET
ejpam-6994	56	2	findings	finding	NOUN
ejpam-6994	56	3	of	of	ADP
ejpam-6994	56	4	the	the	DET
ejpam-6994	56	5	present	present	ADJ
ejpam-6994	56	6	study	study	NOUN
ejpam-6994	56	7	indicate	indicate	VERB
ejpam-6994	56	8	that	that	SCONJ
ejpam-6994	56	9	the	the	DET
ejpam-6994	56	10	dlt	dlt	PROPN
ejpam-6994	56	11	in	in	ADP
ejpam-6994	56	12	technical	technical	ADJ
ejpam-6994	56	13	support	support	NOUN
ejpam-6994	56	14	calls	call	NOUN
ejpam-6994	56	15	was	be	AUX
ejpam-6994	56	16	3.545	3.545	NUM
ejpam-6994	56	17	,	,	PUNCT
ejpam-6994	56	18	as	as	SCONJ
ejpam-6994	56	19	compared	compare	VERB
ejpam-6994	56	20	to	to	ADP
ejpam-6994	56	21	3.503	3.503	NUM
ejpam-6994	56	22	in	in	ADP
ejpam-6994	56	23	administrative	administrative	ADJ
ejpam-6994	56	24	inquiries	inquiry	NOUN
ejpam-6994	56	25	,	,	PUNCT
ejpam-6994	56	26	thereby	thereby	ADV
ejpam-6994	56	27	suggesting	suggest	VERB
ejpam-6994	56	28	the	the	DET
ejpam-6994	56	29	presence	presence	NOUN
ejpam-6994	56	30	of	of	ADP
ejpam-6994	56	31	latent	latent	NOUN
ejpam-6994	56	32	inequality	inequality	NOUN
ejpam-6994	56	33	in	in	ADP
ejpam-6994	56	34	residual	residual	ADJ
ejpam-6994	56	35	waiting	waiting	NOUN
ejpam-6994	56	36	times	time	NOUN
ejpam-6994	56	37	.	.	PUNCT
ejpam-6994	57	1	these	these	DET
ejpam-6994	57	2	observations	observation	NOUN
ejpam-6994	57	3	enabled	enable	VERB
ejpam-6994	57	4	the	the	DET
ejpam-6994	57	5	optimization	optimization	NOUN
ejpam-6994	57	6	of	of	ADP
ejpam-6994	57	7	resource	resource	NOUN
ejpam-6994	57	8	allocation	allocation	NOUN
ejpam-6994	57	9	,	,	PUNCT
ejpam-6994	57	10	resulting	result	VERB
ejpam-6994	57	11	in	in	ADP
ejpam-6994	57	12	performance	performance	NOUN
ejpam-6994	57	13	enhancements	enhancement	NOUN
ejpam-6994	57	14	of	of	ADP
ejpam-6994	57	15	up	up	ADP
ejpam-6994	57	16	to	to	PART
ejpam-6994	57	17	27	27	NUM
ejpam-6994	57	18	%	%	NOUN
ejpam-6994	57	19	[	[	X
ejpam-6994	57	20	32	32	NUM
ejpam-6994	57	21	,	,	PUNCT
ejpam-6994	57	22	33	33	NUM
ejpam-6994	57	23	]	]	PUNCT
ejpam-6994	57	24	.	.	PUNCT
ejpam-6994	58	1	it	it	PRON
ejpam-6994	58	2	has	have	AUX
ejpam-6994	58	3	been	be	AUX
ejpam-6994	58	4	demonstrated	demonstrate	VERB
ejpam-6994	58	5	that	that	SCONJ
ejpam-6994	58	6	dlt	dlt	PROPN
ejpam-6994	58	7	-	-	PUNCT
ejpam-6994	58	8	order	order	NOUN
ejpam-6994	58	9	is	be	AUX
ejpam-6994	58	10	not	not	PART
ejpam-6994	58	11	merely	merely	ADV
ejpam-6994	58	12	a	a	DET
ejpam-6994	58	13	performance	performance	NOUN
ejpam-6994	58	14	a.	a.	NOUN
ejpam-6994	58	15	a.	a.	NOUN
ejpam-6994	58	16	shokeralla	shokeralla	PROPN
ejpam-6994	58	17	/	/	SYM
ejpam-6994	58	18	eur	eur	PROPN
ejpam-6994	58	19	.	.	PUNCT
ejpam-6994	59	1	j.	j.	PROPN
ejpam-6994	59	2	pure	pure	PROPN
ejpam-6994	59	3	appl	appl	PROPN
ejpam-6994	59	4	.	.	PROPN
ejpam-6994	59	5	math	math	PROPN
ejpam-6994	59	6	,	,	PUNCT
ejpam-6994	59	7	18	18	NUM
ejpam-6994	59	8	(	(	PUNCT
ejpam-6994	59	9	4	4	NUM
ejpam-6994	59	10	)	)	PUNCT
ejpam-6994	59	11	(	(	PUNCT
ejpam-6994	59	12	2025	2025	NUM
ejpam-6994	59	13	)	)	PUNCT
ejpam-6994	59	14	,	,	PUNCT
ejpam-6994	59	15	6994	6994	NUM
ejpam-6994	59	16	4	4	NUM
ejpam-6994	59	17	of	of	ADP
ejpam-6994	59	18	22	22	NUM
ejpam-6994	59	19	comparison	comparison	NOUN
ejpam-6994	59	20	;	;	PUNCT
ejpam-6994	59	21	it	it	PRON
ejpam-6994	59	22	is	be	AUX
ejpam-6994	59	23	also	also	ADV
ejpam-6994	59	24	a	a	DET
ejpam-6994	59	25	structure	structure	NOUN
ejpam-6994	59	26	-	-	PUNCT
ejpam-6994	59	27	preserving	preserve	VERB
ejpam-6994	59	28	stochastic	stochastic	ADJ
ejpam-6994	59	29	order	order	NOUN
ejpam-6994	59	30	.	.	PUNCT
ejpam-6994	60	1	the	the	DET
ejpam-6994	60	2	subject	subject	NOUN
ejpam-6994	60	3	continues	continue	VERB
ejpam-6994	60	4	to	to	PART
ejpam-6994	60	5	demonstrate	demonstrate	VERB
ejpam-6994	60	6	symmetries	symmetry	NOUN
ejpam-6994	60	7	among	among	ADP
ejpam-6994	60	8	its	its	PRON
ejpam-6994	60	9	reliabilities	reliability	NOUN
ejpam-6994	60	10	,	,	PUNCT
ejpam-6994	60	11	as	as	SCONJ
ejpam-6994	60	12	evidenced	evidence	VERB
ejpam-6994	60	13	by	by	ADP
ejpam-6994	60	14	the	the	DET
ejpam-6994	60	15	following	following	NOUN
ejpam-6994	60	16	:	:	PUNCT
ejpam-6994	60	17	the	the	DET
ejpam-6994	60	18	following	follow	VERB
ejpam-6994	60	19	definition	definition	NOUN
ejpam-6994	60	20	has	have	AUX
ejpam-6994	60	21	been	be	AUX
ejpam-6994	60	22	provided	provide	VERB
ejpam-6994	60	23	for	for	ADP
ejpam-6994	60	24	the	the	DET
ejpam-6994	60	25	process	process	NOUN
ejpam-6994	60	26	of	of	ADP
ejpam-6994	60	27	closure	closure	NOUN
ejpam-6994	60	28	under	under	ADP
ejpam-6994	60	29	convolution	convolution	NOUN
ejpam-6994	60	30	:	:	PUNCT
ejpam-6994	60	31	•	•	SCONJ
ejpam-6994	60	32	the	the	DET
ejpam-6994	60	33	transformation	transformation	NOUN
ejpam-6994	60	34	is	be	AUX
ejpam-6994	60	35	characterized	characterize	VERB
ejpam-6994	60	36	by	by	ADP
ejpam-6994	60	37	its	its	PRON
ejpam-6994	60	38	linearity	linearity	NOUN
ejpam-6994	60	39	and	and	CCONJ
ejpam-6994	60	40	its	its	PRON
ejpam-6994	60	41	invariance	invariance	NOUN
ejpam-6994	60	42	under	under	ADP
ejpam-6994	60	43	positive	positive	ADJ
ejpam-6994	60	44	linear	linear	ADJ
ejpam-6994	60	45	transformations	transformation	NOUN
ejpam-6994	60	46	•	•	ADP
ejpam-6994	60	47	the	the	DET
ejpam-6994	60	48	stability	stability	NOUN
ejpam-6994	60	49	of	of	ADP
ejpam-6994	60	50	the	the	DET
ejpam-6994	60	51	mixture	mixture	NOUN
ejpam-6994	60	52	operations	operation	NOUN
ejpam-6994	60	53	is	be	AUX
ejpam-6994	60	54	a	a	DET
ejpam-6994	60	55	critical	critical	ADJ
ejpam-6994	60	56	consideration[16	consideration[16	NOUN
ejpam-6994	60	57	,	,	PUNCT
ejpam-6994	60	58	34	34	NUM
ejpam-6994	60	59	]	]	PUNCT
ejpam-6994	60	60	.	.	PUNCT
ejpam-6994	61	1	these	these	DET
ejpam-6994	61	2	properties	property	NOUN
ejpam-6994	61	3	render	render	VERB
ejpam-6994	61	4	it	it	PRON
ejpam-6994	61	5	well	well	ADV
ejpam-6994	61	6	-	-	PUNCT
ejpam-6994	61	7	suited	suit	VERB
ejpam-6994	61	8	to	to	ADP
ejpam-6994	61	9	systems	system	NOUN
ejpam-6994	61	10	that	that	PRON
ejpam-6994	61	11	are	be	AUX
ejpam-6994	61	12	controlled	control	VERB
ejpam-6994	61	13	by	by	ADP
ejpam-6994	61	14	probabilistic	probabilistic	ADJ
ejpam-6994	61	15	symmetry	symmetry	NOUN
ejpam-6994	61	16	,	,	PUNCT
ejpam-6994	61	17	including	include	VERB
ejpam-6994	61	18	networked	networked	ADJ
ejpam-6994	61	19	infrastructures	infrastructure	NOUN
ejpam-6994	61	20	,	,	PUNCT
ejpam-6994	61	21	fault	fault	NOUN
ejpam-6994	61	22	-	-	PUNCT
ejpam-6994	61	23	tolerant	tolerant	ADJ
ejpam-6994	61	24	systems	system	NOUN
ejpam-6994	61	25	,	,	PUNCT
ejpam-6994	61	26	and	and	CCONJ
ejpam-6994	61	27	service	service	NOUN
ejpam-6994	61	28	chains	chain	NOUN
ejpam-6994	61	29	with	with	ADP
ejpam-6994	61	30	time	time	NOUN
ejpam-6994	61	31	-	-	PUNCT
ejpam-6994	61	32	discretized	discretize	VERB
ejpam-6994	61	33	services	service	NOUN
ejpam-6994	61	34	.	.	PUNCT
ejpam-6994	62	1	consequently	consequently	ADV
ejpam-6994	62	2	,	,	PUNCT
ejpam-6994	62	3	the	the	DET
ejpam-6994	62	4	dlt	dlt	PROPN
ejpam-6994	62	5	order	order	NOUN
ejpam-6994	62	6	offers	offer	VERB
ejpam-6994	62	7	a	a	DET
ejpam-6994	62	8	pragmatic	pragmatic	ADJ
ejpam-6994	62	9	approach	approach	NOUN
ejpam-6994	62	10	to	to	ADP
ejpam-6994	62	11	conducting	conduct	VERB
ejpam-6994	62	12	reliability	reliability	NOUN
ejpam-6994	62	13	analysis	analysis	NOUN
ejpam-6994	62	14	in	in	ADP
ejpam-6994	62	15	discrete	discrete	ADJ
ejpam-6994	62	16	time	time	NOUN
ejpam-6994	62	17	and	and	CCONJ
ejpam-6994	62	18	establishes	establish	VERB
ejpam-6994	62	19	a	a	DET
ejpam-6994	62	20	theoretically	theoretically	ADV
ejpam-6994	62	21	robust	robust	ADJ
ejpam-6994	62	22	,	,	PUNCT
ejpam-6994	62	23	symmetry	symmetry	NOUN
ejpam-6994	62	24	-	-	PUNCT
ejpam-6994	62	25	centric	centric	NOUN
ejpam-6994	62	26	framework	framework	NOUN
ejpam-6994	62	27	for	for	ADP
ejpam-6994	62	28	performance	performance	NOUN
ejpam-6994	62	29	modeling	modeling	NOUN
ejpam-6994	62	30	in	in	ADP
ejpam-6994	62	31	discrete	discrete	ADJ
ejpam-6994	62	32	-	-	PUNCT
ejpam-6994	62	33	time	time	NOUN
ejpam-6994	62	34	systems	system	NOUN
ejpam-6994	62	35	.	.	PUNCT
ejpam-6994	63	1	2	2	X
ejpam-6994	63	2	.	.	X
ejpam-6994	63	3	preliminaries	preliminary	NOUN
ejpam-6994	63	4	this	this	DET
ejpam-6994	63	5	section	section	NOUN
ejpam-6994	63	6	provides	provide	VERB
ejpam-6994	63	7	an	an	DET
ejpam-6994	63	8	overview	overview	NOUN
ejpam-6994	63	9	of	of	ADP
ejpam-6994	63	10	the	the	DET
ejpam-6994	63	11	fundamental	fundamental	ADJ
ejpam-6994	63	12	concepts	concept	NOUN
ejpam-6994	63	13	underpinning	underpin	VERB
ejpam-6994	63	14	the	the	DET
ejpam-6994	63	15	dltbased	dltbased	ADJ
ejpam-6994	63	16	stochastic	stochastic	NOUN
ejpam-6994	63	17	ordering	ordering	NOUN
ejpam-6994	63	18	approach	approach	NOUN
ejpam-6994	63	19	.	.	PUNCT
ejpam-6994	64	1	the	the	DET
ejpam-6994	64	2	text	text	NOUN
ejpam-6994	64	3	introduces	introduce	VERB
ejpam-6994	64	4	the	the	DET
ejpam-6994	64	5	residual	residual	ADJ
ejpam-6994	64	6	life	life	NOUN
ejpam-6994	64	7	function	function	NOUN
ejpam-6994	64	8	,	,	PUNCT
ejpam-6994	64	9	briefly	briefly	NOUN
ejpam-6994	64	10	reviews	review	VERB
ejpam-6994	64	11	some	some	DET
ejpam-6994	64	12	classical	classical	ADJ
ejpam-6994	64	13	stochastic	stochastic	ADJ
ejpam-6994	64	14	orderings	ordering	NOUN
ejpam-6994	64	15	,	,	PUNCT
ejpam-6994	64	16	and	and	CCONJ
ejpam-6994	64	17	provides	provide	VERB
ejpam-6994	64	18	the	the	DET
ejpam-6994	64	19	discrete	discrete	ADJ
ejpam-6994	64	20	laplace	laplace	NOUN
ejpam-6994	64	21	transform	transform	NOUN
ejpam-6994	64	22	(	(	PUNCT
ejpam-6994	64	23	dlt	dlt	PROPN
ejpam-6994	64	24	)	)	PUNCT
ejpam-6994	64	25	used	use	VERB
ejpam-6994	64	26	in	in	ADP
ejpam-6994	64	27	a	a	DET
ejpam-6994	64	28	discrete	discrete	ADJ
ejpam-6994	64	29	-	-	PUNCT
ejpam-6994	64	30	time	time	NOUN
ejpam-6994	64	31	setting	setting	NOUN
ejpam-6994	64	32	.	.	PUNCT
ejpam-6994	65	1	2.1	2.1	NUM
ejpam-6994	65	2	.	.	PUNCT
ejpam-6994	65	3	residual	residual	ADJ
ejpam-6994	65	4	life	life	NOUN
ejpam-6994	65	5	function	function	NOUN
ejpam-6994	65	6	letx	letx	NOUN
ejpam-6994	65	7	be	be	AUX
ejpam-6994	65	8	a	a	DET
ejpam-6994	65	9	non	non	ADJ
ejpam-6994	65	10	-	-	ADJ
ejpam-6994	65	11	negative	negative	ADJ
ejpam-6994	65	12	integer	integer	NOUN
ejpam-6994	65	13	-	-	PUNCT
ejpam-6994	65	14	valued	value	VERB
ejpam-6994	65	15	random	random	ADJ
ejpam-6994	65	16	variable	variable	NOUN
ejpam-6994	65	17	representing	represent	VERB
ejpam-6994	65	18	lifetime	lifetime	NOUN
ejpam-6994	65	19	or	or	CCONJ
ejpam-6994	65	20	waiting	waiting	NOUN
ejpam-6994	65	21	time	time	NOUN
ejpam-6994	65	22	.	.	PUNCT
ejpam-6994	66	1	its	its	PRON
ejpam-6994	66	2	residual	residual	ADJ
ejpam-6994	66	3	life	life	NOUN
ejpam-6994	66	4	function	function	NOUN
ejpam-6994	66	5	is	be	AUX
ejpam-6994	66	6	[	[	X
ejpam-6994	66	7	35	35	NUM
ejpam-6994	66	8	]	]	NUM
ejpam-6994	66	9	:	:	PUNCT
ejpam-6994	66	10	rx(k	rx(k	X
ejpam-6994	66	11	)	)	PUNCT
ejpam-6994	67	1	=	=	SYM
ejpam-6994	67	2	p	p	X
ejpam-6994	67	3	(	(	PUNCT
ejpam-6994	67	4	x	x	X
ejpam-6994	67	5	>	>	X
ejpam-6994	67	6	k	k	PROPN
ejpam-6994	67	7	)	)	PUNCT
ejpam-6994	67	8	,	,	PUNCT
ejpam-6994	67	9	k	k	X
ejpam-6994	67	10	=	=	SYM
ejpam-6994	67	11	0	0	NUM
ejpam-6994	67	12	,	,	PUNCT
ejpam-6994	67	13	1	1	NUM
ejpam-6994	67	14	,	,	PUNCT
ejpam-6994	67	15	2	2	NUM
ejpam-6994	67	16	,	,	PUNCT
ejpam-6994	67	17	.	.	PUNCT
ejpam-6994	67	18	.	.	PUNCT
ejpam-6994	67	19	.	.	PUNCT
ejpam-6994	68	1	(	(	PUNCT
ejpam-6994	68	2	1	1	X
ejpam-6994	68	3	)	)	PUNCT
ejpam-6994	68	4	this	this	PRON
ejpam-6994	68	5	is	be	AUX
ejpam-6994	68	6	the	the	DET
ejpam-6994	68	7	probability	probability	NOUN
ejpam-6994	68	8	that	that	SCONJ
ejpam-6994	68	9	the	the	DET
ejpam-6994	68	10	system	system	NOUN
ejpam-6994	68	11	survives	survive	VERB
ejpam-6994	68	12	a	a	DET
ejpam-6994	68	13	certain	certain	ADJ
ejpam-6994	68	14	time	time	NOUN
ejpam-6994	68	15	,	,	PUNCT
ejpam-6994	68	16	given	give	VERB
ejpam-6994	68	17	that	that	SCONJ
ejpam-6994	68	18	it	it	PRON
ejpam-6994	68	19	is	be	AUX
ejpam-6994	68	20	alive	alive	ADJ
ejpam-6994	68	21	at	at	ADP
ejpam-6994	68	22	time	time	NOUN
ejpam-6994	68	23	zero	zero	NUM
ejpam-6994	68	24	.	.	PUNCT
ejpam-6994	69	1	the	the	DET
ejpam-6994	69	2	idea	idea	NOUN
ejpam-6994	69	3	is	be	AUX
ejpam-6994	69	4	fundamental	fundamental	ADJ
ejpam-6994	69	5	in	in	ADP
ejpam-6994	69	6	reliability	reliability	NOUN
ejpam-6994	69	7	theory	theory	NOUN
ejpam-6994	69	8	and	and	CCONJ
ejpam-6994	69	9	is	be	AUX
ejpam-6994	69	10	a	a	DET
ejpam-6994	69	11	popular	popular	ADJ
ejpam-6994	69	12	tool	tool	NOUN
ejpam-6994	69	13	for	for	ADP
ejpam-6994	69	14	studying	study	VERB
ejpam-6994	69	15	time	time	NOUN
ejpam-6994	69	16	-	-	PUNCT
ejpam-6994	69	17	to	to	ADP
ejpam-6994	69	18	-	-	PUNCT
ejpam-6994	69	19	failure	failure	NOUN
ejpam-6994	69	20	and	and	CCONJ
ejpam-6994	69	21	service	service	NOUN
ejpam-6994	69	22	times	time	NOUN
ejpam-6994	69	23	[	[	X
ejpam-6994	69	24	36	36	NUM
ejpam-6994	69	25	,	,	PUNCT
ejpam-6994	69	26	37	37	NUM
ejpam-6994	69	27	]	]	PUNCT
ejpam-6994	69	28	.	.	PUNCT
ejpam-6994	70	1	2.2	2.2	NUM
ejpam-6994	70	2	.	.	PUNCT
ejpam-6994	71	1	stochastic	stochastic	ADJ
ejpam-6994	71	2	orders	order	NOUN
ejpam-6994	71	3	in	in	ADP
ejpam-6994	71	4	a	a	DET
ejpam-6994	71	5	classical	classical	ADJ
ejpam-6994	71	6	sense	sense	NOUN
ejpam-6994	71	7	several	several	ADJ
ejpam-6994	71	8	stochastic	stochastic	ADJ
ejpam-6994	71	9	orders	order	NOUN
ejpam-6994	71	10	have	have	AUX
ejpam-6994	71	11	been	be	AUX
ejpam-6994	71	12	proposed	propose	VERB
ejpam-6994	71	13	in	in	ADP
ejpam-6994	71	14	the	the	DET
ejpam-6994	71	15	literature	literature	NOUN
ejpam-6994	71	16	for	for	ADP
ejpam-6994	71	17	comparing	compare	VERB
ejpam-6994	71	18	discrete	discrete	ADJ
ejpam-6994	71	19	random	random	ADJ
ejpam-6994	71	20	variables	variable	NOUN
ejpam-6994	71	21	[	[	X
ejpam-6994	71	22	38	38	NUM
ejpam-6994	71	23	,	,	PUNCT
ejpam-6994	71	24	39	39	NUM
ejpam-6994	71	25	]	]	PUNCT
ejpam-6994	71	26	.	.	PUNCT
ejpam-6994	72	1	several	several	ADJ
ejpam-6994	72	2	of	of	ADP
ejpam-6994	72	3	them	they	PRON
ejpam-6994	72	4	will	will	AUX
ejpam-6994	72	5	be	be	AUX
ejpam-6994	72	6	of	of	ADP
ejpam-6994	72	7	particular	particular	ADJ
ejpam-6994	72	8	relevance	relevance	NOUN
ejpam-6994	72	9	to	to	ADP
ejpam-6994	72	10	this	this	DET
ejpam-6994	72	11	work	work	NOUN
ejpam-6994	72	12	:	:	PUNCT
ejpam-6994	72	13	usual	usual	ADJ
ejpam-6994	72	14	stochastic	stochastic	ADJ
ejpam-6994	72	15	order	order	NOUN
ejpam-6994	72	16	(	(	PUNCT
ejpam-6994	72	17	st	st	NOUN
ejpam-6994	72	18	):	):	PUNCT
ejpam-6994	72	19	x	x	PUNCT
ejpam-6994	72	20	≤st	≤st	ADJ
ejpam-6994	72	21	y	y	PROPN
ejpam-6994	72	22	if	if	SCONJ
ejpam-6994	72	23	and	and	CCONJ
ejpam-6994	72	24	only	only	ADV
ejpam-6994	72	25	if	if	SCONJ
ejpam-6994	72	26	rx(k	rx(k	NOUN
ejpam-6994	72	27	)	)	PUNCT
ejpam-6994	72	28	≤	≤	NUM
ejpam-6994	73	1	ry	ry	NOUN
ejpam-6994	73	2	(	(	PUNCT
ejpam-6994	73	3	k	k	NOUN
ejpam-6994	73	4	)	)	PUNCT
ejpam-6994	73	5	,	,	PUNCT
ejpam-6994	73	6	for	for	ADP
ejpam-6994	73	7	all	all	DET
ejpam-6994	73	8	k	k	X
ejpam-6994	73	9	(	(	PUNCT
ejpam-6994	73	10	2	2	X
ejpam-6994	73	11	)	)	PUNCT
ejpam-6994	73	12	this	this	DET
ejpam-6994	73	13	ordering	ordering	NOUN
ejpam-6994	73	14	means	mean	VERB
ejpam-6994	73	15	that	that	SCONJ
ejpam-6994	73	16	y	y	PROPN
ejpam-6994	73	17	tends	tend	VERB
ejpam-6994	73	18	to	to	PART
ejpam-6994	73	19	take	take	VERB
ejpam-6994	73	20	larger	large	ADJ
ejpam-6994	73	21	values	value	NOUN
ejpam-6994	73	22	than	than	ADP
ejpam-6994	73	23	x.	x.	NOUN
ejpam-6994	73	24	hazard	hazard	NOUN
ejpam-6994	73	25	rate	rate	NOUN
ejpam-6994	73	26	order	order	NOUN
ejpam-6994	73	27	:	:	PUNCT
ejpam-6994	73	28	x	x	SYM
ejpam-6994	73	29	≤hr	≤hr	VERB
ejpam-6994	73	30	y	y	PROPN
ejpam-6994	73	31	if	if	SCONJ
ejpam-6994	73	32	and	and	CCONJ
ejpam-6994	73	33	only	only	ADV
ejpam-6994	73	34	if	if	SCONJ
ejpam-6994	73	35	rx(k	rx(k	NOUN
ejpam-6994	73	36	)	)	PUNCT
ejpam-6994	73	37	rx(k	rx(k	VERB
ejpam-6994	73	38	−	−	PROPN
ejpam-6994	73	39	1	1	NUM
ejpam-6994	73	40	)	)	PUNCT
ejpam-6994	73	41	≥	≥	NOUN
ejpam-6994	74	1	ry	ry	NOUN
ejpam-6994	74	2	(	(	PUNCT
ejpam-6994	74	3	k	k	NOUN
ejpam-6994	74	4	)	)	PUNCT
ejpam-6994	74	5	ry	ry	PROPN
ejpam-6994	74	6	(	(	PUNCT
ejpam-6994	74	7	k	k	NOUN
ejpam-6994	74	8	−	−	PROPN
ejpam-6994	74	9	1	1	NUM
ejpam-6994	74	10	)	)	PUNCT
ejpam-6994	74	11	,	,	PUNCT
ejpam-6994	74	12	for	for	ADP
ejpam-6994	74	13	all	all	PRON
ejpam-6994	74	14	k	k	PROPN
ejpam-6994	74	15	(	(	PUNCT
ejpam-6994	74	16	3	3	X
ejpam-6994	74	17	)	)	PUNCT
ejpam-6994	74	18	a.	a.	NOUN
ejpam-6994	74	19	a.	a.	NOUN
ejpam-6994	74	20	shokeralla	shokeralla	PROPN
ejpam-6994	74	21	/	/	SYM
ejpam-6994	74	22	eur	eur	PROPN
ejpam-6994	74	23	.	.	PUNCT
ejpam-6994	75	1	j.	j.	PROPN
ejpam-6994	75	2	pure	pure	PROPN
ejpam-6994	75	3	appl	appl	PROPN
ejpam-6994	75	4	.	.	PROPN
ejpam-6994	75	5	math	math	PROPN
ejpam-6994	75	6	,	,	PUNCT
ejpam-6994	75	7	18	18	NUM
ejpam-6994	75	8	(	(	PUNCT
ejpam-6994	75	9	4	4	NUM
ejpam-6994	75	10	)	)	PUNCT
ejpam-6994	75	11	(	(	PUNCT
ejpam-6994	75	12	2025	2025	NUM
ejpam-6994	75	13	)	)	PUNCT
ejpam-6994	75	14	,	,	PUNCT
ejpam-6994	75	15	6994	6994	NUM
ejpam-6994	75	16	5	5	NUM
ejpam-6994	75	17	of	of	ADP
ejpam-6994	75	18	22	22	NUM
ejpam-6994	75	19	this	this	DET
ejpam-6994	75	20	ordering	ordering	NOUN
ejpam-6994	75	21	compares	compare	VERB
ejpam-6994	75	22	the	the	DET
ejpam-6994	75	23	instantaneous	instantaneous	ADJ
ejpam-6994	75	24	failure	failure	NOUN
ejpam-6994	75	25	rates	rate	NOUN
ejpam-6994	75	26	at	at	ADP
ejpam-6994	75	27	different	different	ADJ
ejpam-6994	75	28	time	time	NOUN
ejpam-6994	75	29	points	point	NOUN
ejpam-6994	75	30	.	.	PUNCT
ejpam-6994	76	1	likelihood	likelihood	NOUN
ejpam-6994	76	2	ratio	ratio	NOUN
ejpam-6994	76	3	order	order	NOUN
ejpam-6994	76	4	:	:	PUNCT
ejpam-6994	76	5	x	x	SYM
ejpam-6994	76	6	≤lr	≤lr	VERB
ejpam-6994	76	7	y	y	PROPN
ejpam-6994	76	8	if	if	SCONJ
ejpam-6994	76	9	and	and	CCONJ
ejpam-6994	76	10	only	only	ADV
ejpam-6994	76	11	if	if	SCONJ
ejpam-6994	76	12	p	p	X
ejpam-6994	76	13	(	(	PUNCT
ejpam-6994	76	14	x	x	SYM
ejpam-6994	76	15	=	=	SYM
ejpam-6994	76	16	k	k	NOUN
ejpam-6994	76	17	)	)	PUNCT
ejpam-6994	77	1	p	p	NOUN
ejpam-6994	77	2	(	(	PUNCT
ejpam-6994	77	3	y	y	NOUN
ejpam-6994	77	4	=	=	SYM
ejpam-6994	77	5	k	k	NOUN
ejpam-6994	77	6	)	)	PUNCT
ejpam-6994	77	7	is	be	AUX
ejpam-6994	77	8	decreasing	decrease	VERB
ejpam-6994	77	9	in	in	ADP
ejpam-6994	77	10	k	k	PROPN
ejpam-6994	77	11	(	(	PUNCT
ejpam-6994	77	12	4	4	X
ejpam-6994	77	13	)	)	PUNCT
ejpam-6994	77	14	this	this	DET
ejpam-6994	77	15	ordering	ordering	NOUN
ejpam-6994	77	16	is	be	AUX
ejpam-6994	77	17	in	in	ADP
ejpam-6994	77	18	terms	term	NOUN
ejpam-6994	77	19	of	of	ADP
ejpam-6994	77	20	the	the	DET
ejpam-6994	77	21	ratio	ratio	NOUN
ejpam-6994	77	22	of	of	ADP
ejpam-6994	77	23	probability	probability	NOUN
ejpam-6994	77	24	mass	mass	NOUN
ejpam-6994	77	25	functions	function	NOUN
ejpam-6994	77	26	.	.	PUNCT
ejpam-6994	78	1	these	these	DET
ejpam-6994	78	2	orders	order	NOUN
ejpam-6994	78	3	form	form	VERB
ejpam-6994	78	4	a	a	DET
ejpam-6994	78	5	hierarchy	hierarchy	NOUN
ejpam-6994	78	6	:	:	PUNCT
ejpam-6994	78	7	lr	lr	PROPN
ejpam-6994	78	8	⊂	⊂	PROPN
ejpam-6994	78	9	hr	hr	PROPN
ejpam-6994	78	10	⊂	⊂	PROPN
ejpam-6994	78	11	st	st	PROPN
ejpam-6994	78	12	,	,	PUNCT
ejpam-6994	78	13	(	(	PUNCT
ejpam-6994	78	14	5	5	NUM
ejpam-6994	78	15	)	)	PUNCT
ejpam-6994	78	16	but	but	CCONJ
ejpam-6994	78	17	all	all	PRON
ejpam-6994	78	18	fail	fail	VERB
ejpam-6994	78	19	under	under	ADP
ejpam-6994	78	20	crossing	cross	VERB
ejpam-6994	78	21	survival	survival	NOUN
ejpam-6994	78	22	functions	function	NOUN
ejpam-6994	78	23	[	[	X
ejpam-6994	78	24	40	40	NUM
ejpam-6994	78	25	]	]	PUNCT
ejpam-6994	78	26	.	.	PUNCT
ejpam-6994	79	1	2.3	2.3	NUM
ejpam-6994	79	2	.	.	PUNCT
ejpam-6994	80	1	dltdiscrete	dltdiscrete	ADJ
ejpam-6994	80	2	laplace	laplace	NOUN
ejpam-6994	80	3	transform	transform	NOUN
ejpam-6994	80	4	in	in	ADP
ejpam-6994	80	5	order	order	NOUN
ejpam-6994	80	6	to	to	PART
ejpam-6994	80	7	remove	remove	VERB
ejpam-6994	80	8	the	the	DET
ejpam-6994	80	9	restrictions	restriction	NOUN
ejpam-6994	80	10	of	of	ADP
ejpam-6994	80	11	classical	classical	ADJ
ejpam-6994	80	12	orders	order	NOUN
ejpam-6994	80	13	,	,	PUNCT
ejpam-6994	80	14	we	we	PRON
ejpam-6994	80	15	introduce	introduce	VERB
ejpam-6994	80	16	the	the	DET
ejpam-6994	80	17	discrete	discrete	ADJ
ejpam-6994	80	18	laplace	laplace	NOUN
ejpam-6994	80	19	transform	transform	NOUN
ejpam-6994	80	20	(	(	PUNCT
ejpam-6994	80	21	dlt	dlt	PROPN
ejpam-6994	80	22	)	)	PUNCT
ejpam-6994	80	23	to	to	PART
ejpam-6994	80	24	depict	depict	VERB
ejpam-6994	80	25	the	the	DET
ejpam-6994	80	26	tail	tail	NOUN
ejpam-6994	80	27	properties	property	NOUN
ejpam-6994	80	28	of	of	ADP
ejpam-6994	80	29	the	the	DET
ejpam-6994	80	30	residual	residual	ADJ
ejpam-6994	80	31	lifetime	lifetime	NOUN
ejpam-6994	80	32	distributions	distribution	NOUN
ejpam-6994	80	33	.	.	PUNCT
ejpam-6994	81	1	for	for	ADP
ejpam-6994	81	2	all	all	DET
ejpam-6994	81	3	non	non	ADJ
ejpam-6994	81	4	-	-	ADJ
ejpam-6994	81	5	negative	negative	ADJ
ejpam-6994	81	6	f(t	f(t	NOUN
ejpam-6994	81	7	)	)	PUNCT
ejpam-6994	81	8	,	,	PUNCT
ejpam-6994	81	9	the	the	DET
ejpam-6994	81	10	dlt	dlt	PROPN
ejpam-6994	81	11	is	be	AUX
ejpam-6994	81	12	given	give	VERB
ejpam-6994	81	13	by	by	ADP
ejpam-6994	81	14	:	:	PUNCT
ejpam-6994	81	15	ld{f}(s	ld{f}(s	NOUN
ejpam-6994	81	16	)	)	PUNCT
ejpam-6994	81	17	=	=	SYM
ejpam-6994	82	1	∞∑	∞∑	NUM
ejpam-6994	82	2	t=0	t=0	PUNCT
ejpam-6994	82	3	f(t)e−st	f(t)e−st	NOUN
ejpam-6994	82	4	,	,	PUNCT
ejpam-6994	82	5	s	s	VERB
ejpam-6994	82	6	>	>	X
ejpam-6994	82	7	0	0	PUNCT
ejpam-6994	82	8	(	(	PUNCT
ejpam-6994	82	9	6	6	NUM
ejpam-6994	82	10	)	)	PUNCT
ejpam-6994	82	11	applied	apply	VERB
ejpam-6994	82	12	to	to	ADP
ejpam-6994	82	13	the	the	DET
ejpam-6994	82	14	residual	residual	ADJ
ejpam-6994	82	15	life	life	NOUN
ejpam-6994	82	16	function	function	NOUN
ejpam-6994	82	17	,	,	PUNCT
ejpam-6994	82	18	we	we	PRON
ejpam-6994	82	19	have	have	VERB
ejpam-6994	82	20	:	:	PUNCT
ejpam-6994	82	21	ld{rx}(s	ld{rx}(s	X
ejpam-6994	82	22	)	)	PUNCT
ejpam-6994	82	23	=	=	NOUN
ejpam-6994	83	1	∞∑	∞∑	NUM
ejpam-6994	83	2	t=0	t=0	ADJ
ejpam-6994	83	3	p	p	X
ejpam-6994	83	4	(	(	PUNCT
ejpam-6994	83	5	x	x	INTJ
ejpam-6994	83	6	>	>	X
ejpam-6994	83	7	t)e−st	t)e−st	X
ejpam-6994	83	8	(	(	PUNCT
ejpam-6994	83	9	7	7	NUM
ejpam-6994	83	10	)	)	PUNCT
ejpam-6994	83	11	this	this	PRON
ejpam-6994	83	12	transform	transform	VERB
ejpam-6994	83	13	weights	weight	NOUN
ejpam-6994	83	14	early	early	ADJ
ejpam-6994	83	15	delays	delay	NOUN
ejpam-6994	83	16	more	more	ADV
ejpam-6994	83	17	heavily	heavily	ADV
ejpam-6994	83	18	for	for	ADP
ejpam-6994	83	19	large	large	ADJ
ejpam-6994	83	20	s	s	NOUN
ejpam-6994	83	21	,	,	PUNCT
ejpam-6994	83	22	and	and	CCONJ
ejpam-6994	83	23	long	long	ADJ
ejpam-6994	83	24	tails	tail	NOUN
ejpam-6994	83	25	for	for	ADP
ejpam-6994	83	26	small	small	ADJ
ejpam-6994	83	27	s	s	NOUN
ejpam-6994	83	28	,	,	PUNCT
ejpam-6994	83	29	offering	offer	VERB
ejpam-6994	83	30	tunable	tunable	ADJ
ejpam-6994	83	31	sensitivity	sensitivity	NOUN
ejpam-6994	83	32	across	across	ADP
ejpam-6994	83	33	time	time	NOUN
ejpam-6994	83	34	scales	scale	NOUN
ejpam-6994	83	35	[	[	X
ejpam-6994	83	36	41	41	NUM
ejpam-6994	83	37	]	]	PUNCT
ejpam-6994	83	38	.	.	PUNCT
ejpam-6994	84	1	3	3	X
ejpam-6994	84	2	.	.	X
ejpam-6994	84	3	dlt	dlt	PROPN
ejpam-6994	84	4	-	-	PUNCT
ejpam-6994	84	5	based	base	VERB
ejpam-6994	84	6	stochastic	stochastic	ADJ
ejpam-6994	84	7	order	order	NOUN
ejpam-6994	84	8	now	now	ADV
ejpam-6994	84	9	,	,	PUNCT
ejpam-6994	84	10	we	we	PRON
ejpam-6994	84	11	introduce	introduce	VERB
ejpam-6994	84	12	a	a	DET
ejpam-6994	84	13	new	new	ADJ
ejpam-6994	84	14	stochastic	stochastic	ADJ
ejpam-6994	84	15	order	order	NOUN
ejpam-6994	84	16	induced	induce	VERB
ejpam-6994	84	17	by	by	ADP
ejpam-6994	84	18	the	the	DET
ejpam-6994	84	19	discrete	discrete	ADJ
ejpam-6994	84	20	laplace	laplace	NOUN
ejpam-6994	84	21	transform	transform	NOUN
ejpam-6994	84	22	(	(	PUNCT
ejpam-6994	84	23	dlt	dlt	PROPN
ejpam-6994	84	24	)	)	PUNCT
ejpam-6994	84	25	of	of	ADP
ejpam-6994	84	26	the	the	DET
ejpam-6994	84	27	residual	residual	ADJ
ejpam-6994	84	28	life	life	NOUN
ejpam-6994	84	29	function	function	NOUN
ejpam-6994	84	30	.	.	PUNCT
ejpam-6994	85	1	based	base	VERB
ejpam-6994	85	2	on	on	ADP
ejpam-6994	85	3	an	an	DET
ejpam-6994	85	4	exponentially	exponentially	ADV
ejpam-6994	85	5	weighted	weight	VERB
ejpam-6994	85	6	transform	transform	NOUN
ejpam-6994	85	7	,	,	PUNCT
ejpam-6994	85	8	we	we	PRON
ejpam-6994	85	9	aim	aim	VERB
ejpam-6994	85	10	to	to	PART
ejpam-6994	85	11	compare	compare	VERB
ejpam-6994	85	12	discrete	discrete	ADJ
ejpam-6994	85	13	lifetime	lifetime	NOUN
ejpam-6994	85	14	distributions	distribution	NOUN
ejpam-6994	85	15	pointwise	pointwise	INTJ
ejpam-6994	85	16	(	(	PUNCT
ejpam-6994	85	17	as	as	ADP
ejpam-6994	85	18	in	in	ADP
ejpam-6994	85	19	the	the	DET
ejpam-6994	85	20	standard	standard	ADJ
ejpam-6994	85	21	stochastic	stochastic	ADJ
ejpam-6994	85	22	order	order	NOUN
ejpam-6994	85	23	)	)	PUNCT
ejpam-6994	85	24	and	and	CCONJ
ejpam-6994	85	25	with	with	ADP
ejpam-6994	85	26	respect	respect	NOUN
ejpam-6994	85	27	to	to	ADP
ejpam-6994	85	28	life	life	NOUN
ejpam-6994	85	29	between	between	ADP
ejpam-6994	85	30	two	two	NUM
ejpam-6994	85	31	lifetimes	lifetime	NOUN
ejpam-6994	85	32	,	,	PUNCT
ejpam-6994	85	33	that	that	ADV
ejpam-6994	85	34	is	is	ADV
ejpam-6994	85	35	,	,	PUNCT
ejpam-6994	85	36	their	their	PRON
ejpam-6994	85	37	global	global	ADJ
ejpam-6994	85	38	tail	tail	NOUN
ejpam-6994	85	39	behavior	behavior	NOUN
ejpam-6994	85	40	.	.	PUNCT
ejpam-6994	86	1	3.1	3.1	NUM
ejpam-6994	86	2	.	.	PUNCT
ejpam-6994	87	1	dlt	dlt	PROPN
ejpam-6994	87	2	-	-	PUNCT
ejpam-6994	87	3	order	order	NOUN
ejpam-6994	87	4	definition	definition	NOUN
ejpam-6994	87	5	:	:	PUNCT
ejpam-6994	87	6	let	let	VERB
ejpam-6994	87	7	x	x	PRON
ejpam-6994	87	8	and	and	CCONJ
ejpam-6994	87	9	y	y	PROPN
ejpam-6994	87	10	be	be	AUX
ejpam-6994	87	11	non	non	ADJ
ejpam-6994	87	12	-	-	ADJ
ejpam-6994	87	13	negative	negative	ADJ
ejpam-6994	87	14	,	,	PUNCT
ejpam-6994	87	15	integer	integer	NOUN
ejpam-6994	87	16	-	-	PUNCT
ejpam-6994	87	17	valued	value	VERB
ejpam-6994	87	18	random	random	ADJ
ejpam-6994	87	19	variables	variable	NOUN
ejpam-6994	87	20	with	with	ADP
ejpam-6994	87	21	residual	residual	ADJ
ejpam-6994	87	22	life	life	NOUN
ejpam-6994	87	23	functions	function	NOUN
ejpam-6994	87	24	rx(k	rx(k	NOUN
ejpam-6994	87	25	)	)	PUNCT
ejpam-6994	87	26	=	=	SYM
ejpam-6994	88	1	p	p	X
ejpam-6994	88	2	(	(	PUNCT
ejpam-6994	88	3	x	x	SYM
ejpam-6994	88	4	>	>	X
ejpam-6994	88	5	k	k	PROPN
ejpam-6994	88	6	)	)	PUNCT
ejpam-6994	88	7	and	and	CCONJ
ejpam-6994	88	8	ry	ry	ADJ
ejpam-6994	88	9	(	(	PUNCT
ejpam-6994	88	10	k	k	NOUN
ejpam-6994	88	11	)	)	PUNCT
ejpam-6994	88	12	=	=	SYM
ejpam-6994	89	1	p	p	X
ejpam-6994	89	2	(	(	PUNCT
ejpam-6994	89	3	y	y	PROPN
ejpam-6994	89	4	>	>	X
ejpam-6994	89	5	k	k	PROPN
ejpam-6994	89	6	)	)	PUNCT
ejpam-6994	89	7	.	.	PUNCT
ejpam-6994	90	1	the	the	DET
ejpam-6994	90	2	dlt	dlt	PROPN
ejpam-6994	90	3	-	-	PUNCT
ejpam-6994	90	4	order	order	NOUN
ejpam-6994	90	5	is	be	AUX
ejpam-6994	90	6	defined	define	VERB
ejpam-6994	90	7	as	as	ADP
ejpam-6994	90	8	[	[	X
ejpam-6994	90	9	19	19	NUM
ejpam-6994	90	10	]	]	X
ejpam-6994	90	11	:	:	PUNCT
ejpam-6994	91	1	x	x	SYM
ejpam-6994	91	2	≤dlt	≤dlt	NUM
ejpam-6994	91	3	y	y	PROPN
ejpam-6994	91	4	⇐	⇐	PROPN
ejpam-6994	91	5	⇒	⇒	VERB
ejpam-6994	91	6	∞∑	∞∑	NUM
ejpam-6994	91	7	k=0	k=0	PROPN
ejpam-6994	91	8	p	p	X
ejpam-6994	91	9	(	(	PUNCT
ejpam-6994	91	10	x	x	PROPN
ejpam-6994	91	11	>	>	X
ejpam-6994	91	12	k)e−sk	k)e−sk	PROPN
ejpam-6994	91	13	≤	≤	VERB
ejpam-6994	92	1	∞∑	∞∑	DET
ejpam-6994	92	2	k=0	k=0	PROPN
ejpam-6994	92	3	p	p	X
ejpam-6994	92	4	(	(	PUNCT
ejpam-6994	92	5	y	y	PROPN
ejpam-6994	92	6	>	>	X
ejpam-6994	92	7	k)e−sk	k)e−sk	PROPN
ejpam-6994	92	8	,	,	PUNCT
ejpam-6994	92	9	∀s	∀s	PROPN
ejpam-6994	92	10	>	>	X
ejpam-6994	92	11	0	0	PUNCT
ejpam-6994	93	1	(	(	PUNCT
ejpam-6994	93	2	8)	8)	NUM
ejpam-6994	93	3	a.	a.	NOUN
ejpam-6994	93	4	a.	a.	NOUN
ejpam-6994	93	5	shokeralla	shokeralla	PROPN
ejpam-6994	93	6	/	/	SYM
ejpam-6994	93	7	eur	eur	PROPN
ejpam-6994	93	8	.	.	PUNCT
ejpam-6994	94	1	j.	j.	PROPN
ejpam-6994	94	2	pure	pure	PROPN
ejpam-6994	94	3	appl	appl	PROPN
ejpam-6994	94	4	.	.	PROPN
ejpam-6994	94	5	math	math	PROPN
ejpam-6994	94	6	,	,	PUNCT
ejpam-6994	94	7	18	18	NUM
ejpam-6994	94	8	(	(	PUNCT
ejpam-6994	94	9	4	4	NUM
ejpam-6994	94	10	)	)	PUNCT
ejpam-6994	94	11	(	(	PUNCT
ejpam-6994	94	12	2025	2025	NUM
ejpam-6994	94	13	)	)	PUNCT
ejpam-6994	94	14	,	,	PUNCT
ejpam-6994	94	15	6994	6994	NUM
ejpam-6994	94	16	6	6	NUM
ejpam-6994	94	17	of	of	ADP
ejpam-6994	94	18	22	22	NUM
ejpam-6994	94	19	this	this	PRON
ejpam-6994	94	20	means	mean	VERB
ejpam-6994	94	21	that	that	SCONJ
ejpam-6994	94	22	the	the	DET
ejpam-6994	94	23	expected	expect	VERB
ejpam-6994	94	24	discounted	discount	VERB
ejpam-6994	94	25	residual	residual	ADJ
ejpam-6994	94	26	lifetime	lifetime	NOUN
ejpam-6994	94	27	of	of	ADP
ejpam-6994	94	28	x	x	PUNCT
ejpam-6994	94	29	is	be	AUX
ejpam-6994	94	30	no	no	ADV
ejpam-6994	94	31	greater	great	ADJ
ejpam-6994	94	32	than	than	ADP
ejpam-6994	94	33	that	that	PRON
ejpam-6994	94	34	of	of	ADP
ejpam-6994	94	35	y	y	PROPN
ejpam-6994	94	36	at	at	ADP
ejpam-6994	94	37	every	every	DET
ejpam-6994	94	38	exponential	exponential	ADJ
ejpam-6994	94	39	discount	discount	NOUN
ejpam-6994	94	40	rate	rate	NOUN
ejpam-6994	94	41	s	s	PART
ejpam-6994	94	42	>	>	X
ejpam-6994	94	43	0	0	NUM
ejpam-6994	94	44	.	.	PUNCT
ejpam-6994	95	1	a	a	DET
ejpam-6994	95	2	larger	large	ADJ
ejpam-6994	95	3	dlt	dlt	PROPN
ejpam-6994	95	4	value	value	NOUN
ejpam-6994	95	5	corresponds	correspond	VERB
ejpam-6994	95	6	to	to	ADP
ejpam-6994	95	7	a	a	DET
ejpam-6994	95	8	longer	long	ADV
ejpam-6994	95	9	expected	expect	VERB
ejpam-6994	95	10	discounted	discount	VERB
ejpam-6994	95	11	residual	residual	ADJ
ejpam-6994	95	12	life	life	NOUN
ejpam-6994	95	13	,	,	PUNCT
ejpam-6994	95	14	implying	imply	VERB
ejpam-6994	95	15	worse	bad	ADJ
ejpam-6994	95	16	reliability	reliability	NOUN
ejpam-6994	95	17	or	or	CCONJ
ejpam-6994	95	18	service	service	NOUN
ejpam-6994	95	19	performance	performance	NOUN
ejpam-6994	95	20	.	.	PUNCT
ejpam-6994	96	1	here	here	ADV
ejpam-6994	96	2	,	,	PUNCT
ejpam-6994	96	3	ld{rx	ld{rx	PROPN
ejpam-6994	96	4	}	}	PUNCT
ejpam-6994	96	5	denotes	denote	VERB
ejpam-6994	96	6	the	the	DET
ejpam-6994	96	7	discrete	discrete	ADJ
ejpam-6994	96	8	laplace	laplace	NOUN
ejpam-6994	96	9	transform	transform	NOUN
ejpam-6994	96	10	of	of	ADP
ejpam-6994	96	11	the	the	DET
ejpam-6994	96	12	residual	residual	ADJ
ejpam-6994	96	13	life	life	NOUN
ejpam-6994	96	14	function	function	NOUN
ejpam-6994	96	15	rx(t	rx(t	NOUN
ejpam-6994	96	16	)	)	PUNCT
ejpam-6994	96	17	,	,	PUNCT
ejpam-6994	96	18	given	give	VERB
ejpam-6994	96	19	by	by	ADP
ejpam-6994	96	20	:	:	PUNCT
ejpam-6994	96	21	ld{rx}(s	ld{rx}(s	X
ejpam-6994	96	22	)	)	PUNCT
ejpam-6994	96	23	=	=	NOUN
ejpam-6994	97	1	∞∑	∞∑	NUM
ejpam-6994	97	2	t=0	t=0	ADJ
ejpam-6994	97	3	rx(t)e−st	rx(t)e−st	NOUN
ejpam-6994	97	4	(	(	PUNCT
ejpam-6994	97	5	9	9	NUM
ejpam-6994	97	6	)	)	PUNCT
ejpam-6994	97	7	in	in	ADP
ejpam-6994	97	8	this	this	DET
ejpam-6994	97	9	sense	sense	NOUN
ejpam-6994	97	10	,	,	PUNCT
ejpam-6994	97	11	the	the	DET
ejpam-6994	97	12	formula	formula	NOUN
ejpam-6994	97	13	above	above	ADP
ejpam-6994	97	14	makes	make	VERB
ejpam-6994	97	15	precise	precise	ADJ
ejpam-6994	97	16	the	the	DET
ejpam-6994	97	17	informal	informal	ADJ
ejpam-6994	97	18	idea	idea	NOUN
ejpam-6994	97	19	that	that	SCONJ
ejpam-6994	97	20	,	,	PUNCT
ejpam-6994	97	21	in	in	ADP
ejpam-6994	97	22	scenarios	scenario	NOUN
ejpam-6994	97	23	where	where	SCONJ
ejpam-6994	97	24	a	a	DET
ejpam-6994	97	25	usual	usual	ADJ
ejpam-6994	97	26	order	order	NOUN
ejpam-6994	97	27	or	or	CCONJ
ejpam-6994	97	28	an	an	DET
ejpam-6994	97	29	order	order	NOUN
ejpam-6994	97	30	based	base	VERB
ejpam-6994	97	31	on	on	ADP
ejpam-6994	97	32	hazard	hazard	NOUN
ejpam-6994	97	33	rates	rate	NOUN
ejpam-6994	97	34	may	may	AUX
ejpam-6994	97	35	not	not	PART
ejpam-6994	97	36	provide	provide	VERB
ejpam-6994	97	37	suitable	suitable	ADJ
ejpam-6994	97	38	discrimination	discrimination	NOUN
ejpam-6994	97	39	for	for	ADP
ejpam-6994	97	40	any	any	DET
ejpam-6994	97	41	exponential	exponential	ADJ
ejpam-6994	97	42	discount	discount	NOUN
ejpam-6994	97	43	factor	factor	NOUN
ejpam-6994	97	44	s	s	PART
ejpam-6994	97	45	,	,	PUNCT
ejpam-6994	97	46	the	the	DET
ejpam-6994	97	47	expected	expect	VERB
ejpam-6994	97	48	discounted	discount	VERB
ejpam-6994	97	49	residual	residual	ADJ
ejpam-6994	97	50	lifetime	lifetime	NOUN
ejpam-6994	97	51	of	of	ADP
ejpam-6994	97	52	x	x	PUNCT
ejpam-6994	97	53	is	be	AUX
ejpam-6994	97	54	not	not	PART
ejpam-6994	97	55	more	more	ADJ
ejpam-6994	97	56	than	than	ADP
ejpam-6994	97	57	that	that	PRON
ejpam-6994	97	58	of	of	ADP
ejpam-6994	97	59	y	y	PROPN
ejpam-6994	97	60	.	.	PUNCT
ejpam-6994	98	1	if	if	SCONJ
ejpam-6994	98	2	x	x	PROPN
ejpam-6994	98	3	≤dlt	≤dlt	NUM
ejpam-6994	98	4	y	y	NOUN
ejpam-6994	98	5	,	,	PUNCT
ejpam-6994	98	6	then	then	ADV
ejpam-6994	98	7	y	y	PROPN
ejpam-6994	98	8	is	be	AUX
ejpam-6994	98	9	thought	think	VERB
ejpam-6994	98	10	to	to	PART
ejpam-6994	98	11	be	be	AUX
ejpam-6994	98	12	more	more	ADV
ejpam-6994	98	13	reliable	reliable	ADJ
ejpam-6994	98	14	(	(	PUNCT
ejpam-6994	98	15	i.e.	i.e.	X
ejpam-6994	98	16	,	,	PUNCT
ejpam-6994	98	17	has	have	AUX
ejpam-6994	98	18	a	a	DET
ejpam-6994	98	19	shorter	short	ADJ
ejpam-6994	98	20	expected	expect	VERB
ejpam-6994	98	21	residual	residual	ADJ
ejpam-6994	98	22	lifetime	lifetime	NOUN
ejpam-6994	98	23	)	)	PUNCT
ejpam-6994	98	24	at	at	ADP
ejpam-6994	98	25	all	all	DET
ejpam-6994	98	26	levels	level	NOUN
ejpam-6994	98	27	of	of	ADP
ejpam-6994	98	28	temporal	temporal	ADJ
ejpam-6994	98	29	importance	importance	NOUN
ejpam-6994	98	30	.	.	PUNCT
ejpam-6994	99	1	the	the	DET
ejpam-6994	99	2	dlt	dlt	PROPN
ejpam-6994	99	3	-	-	PUNCT
ejpam-6994	99	4	order	order	NOUN
ejpam-6994	99	5	is	be	AUX
ejpam-6994	99	6	an	an	DET
ejpam-6994	99	7	extension	extension	NOUN
ejpam-6994	99	8	of	of	ADP
ejpam-6994	99	9	the	the	DET
ejpam-6994	99	10	classical	classical	ADJ
ejpam-6994	99	11	stochastic	stochastic	ADJ
ejpam-6994	99	12	order	order	NOUN
ejpam-6994	99	13	:	:	PUNCT
ejpam-6994	99	14	•	•	ADP
ejpam-6994	99	15	if	if	SCONJ
ejpam-6994	99	16	x	x	PROPN
ejpam-6994	99	17	≤dlt	≤dlt	NUM
ejpam-6994	99	18	y	y	NOUN
ejpam-6994	99	19	,	,	PUNCT
ejpam-6994	99	20	then	then	ADV
ejpam-6994	99	21	typically	typically	ADV
ejpam-6994	99	22	x	x	ADP
ejpam-6994	99	23	≤st	≤st	ADJ
ejpam-6994	99	24	y	y	NOUN
ejpam-6994	99	25	.	.	PUNCT
ejpam-6994	100	1	•	•	NUM
ejpam-6994	100	2	however	however	ADV
ejpam-6994	100	3	,	,	PUNCT
ejpam-6994	100	4	the	the	DET
ejpam-6994	100	5	converse	converse	NOUN
ejpam-6994	100	6	is	be	AUX
ejpam-6994	100	7	not	not	PART
ejpam-6994	100	8	always	always	ADV
ejpam-6994	100	9	true	true	ADJ
ejpam-6994	100	10	,	,	PUNCT
ejpam-6994	100	11	which	which	PRON
ejpam-6994	100	12	makes	make	VERB
ejpam-6994	100	13	the	the	DET
ejpam-6994	100	14	dlt	dlt	PROPN
ejpam-6994	100	15	-	-	PUNCT
ejpam-6994	100	16	order	order	NOUN
ejpam-6994	100	17	strictly	strictly	ADV
ejpam-6994	100	18	stronger	strong	ADJ
ejpam-6994	100	19	in	in	ADP
ejpam-6994	100	20	some	some	DET
ejpam-6994	100	21	cases	case	NOUN
ejpam-6994	100	22	.	.	PUNCT
ejpam-6994	101	1	in	in	ADP
ejpam-6994	101	2	addition	addition	NOUN
ejpam-6994	101	3	,	,	PUNCT
ejpam-6994	101	4	the	the	DET
ejpam-6994	101	5	dlt	dlt	PROPN
ejpam-6994	101	6	-	-	PUNCT
ejpam-6994	101	7	order	order	NOUN
ejpam-6994	101	8	allows	allow	VERB
ejpam-6994	101	9	comparison	comparison	NOUN
ejpam-6994	101	10	of	of	ADP
ejpam-6994	101	11	non	non	ADJ
ejpam-6994	101	12	-	-	ADJ
ejpam-6994	101	13	monotone	monotone	ADJ
ejpam-6994	101	14	distributions	distribution	NOUN
ejpam-6994	101	15	or	or	CCONJ
ejpam-6994	101	16	crossing	cross	VERB
ejpam-6994	101	17	survival	survival	NOUN
ejpam-6994	101	18	functions	function	NOUN
ejpam-6994	101	19	—	—	PUNCT
ejpam-6994	101	20	scenarios	scenario	NOUN
ejpam-6994	101	21	in	in	ADP
ejpam-6994	101	22	which	which	PRON
ejpam-6994	101	23	a	a	DET
ejpam-6994	101	24	usual	usual	ADJ
ejpam-6994	101	25	order	order	NOUN
ejpam-6994	101	26	or	or	CCONJ
ejpam-6994	101	27	an	an	DET
ejpam-6994	101	28	order	order	NOUN
ejpam-6994	101	29	based	base	VERB
ejpam-6994	101	30	on	on	ADP
ejpam-6994	101	31	hazard	hazard	NOUN
ejpam-6994	101	32	rates	rate	NOUN
ejpam-6994	101	33	may	may	AUX
ejpam-6994	101	34	not	not	PART
ejpam-6994	101	35	provide	provide	VERB
ejpam-6994	101	36	suitable	suitable	ADJ
ejpam-6994	101	37	discrimination	discrimination	NOUN
ejpam-6994	101	38	[	[	X
ejpam-6994	101	39	42	42	NUM
ejpam-6994	101	40	]	]	PUNCT
ejpam-6994	101	41	.	.	PUNCT
ejpam-6994	102	1	figure	figure	VERB
ejpam-6994	102	2	1	1	NUM
ejpam-6994	102	3	:	:	PUNCT
ejpam-6994	102	4	sensitivity	sensitivity	NOUN
ejpam-6994	102	5	of	of	ADP
ejpam-6994	102	6	dlt	dlt	PROPN
ejpam-6994	102	7	to	to	ADP
ejpam-6994	102	8	geometric	geometric	ADJ
ejpam-6994	102	9	distribution	distribution	NOUN
ejpam-6994	102	10	parameter	parameter	NOUN
ejpam-6994	102	11	p.	p.	NOUN
ejpam-6994	102	12	rationale	rationale	NOUN
ejpam-6994	102	13	:	:	PUNCT
ejpam-6994	102	14	this	this	PRON
ejpam-6994	102	15	demonstrates	demonstrate	VERB
ejpam-6994	102	16	the	the	DET
ejpam-6994	102	17	strength	strength	NOUN
ejpam-6994	102	18	of	of	ADP
ejpam-6994	102	19	the	the	DET
ejpam-6994	102	20	model	model	NOUN
ejpam-6994	102	21	in	in	ADP
ejpam-6994	102	22	theory	theory	NOUN
ejpam-6994	102	23	before	before	SCONJ
ejpam-6994	102	24	it	it	PRON
ejpam-6994	102	25	is	be	AUX
ejpam-6994	102	26	tested	test	VERB
ejpam-6994	102	27	empirically	empirically	ADV
ejpam-6994	102	28	.	.	PUNCT
ejpam-6994	103	1	a.	a.	NOUN
ejpam-6994	103	2	a.	a.	PROPN
ejpam-6994	103	3	shokeralla	shokeralla	PROPN
ejpam-6994	103	4	/	/	SYM
ejpam-6994	103	5	eur	eur	PROPN
ejpam-6994	103	6	.	.	PUNCT
ejpam-6994	104	1	j.	j.	PROPN
ejpam-6994	104	2	pure	pure	PROPN
ejpam-6994	104	3	appl	appl	PROPN
ejpam-6994	104	4	.	.	PROPN
ejpam-6994	104	5	math	math	PROPN
ejpam-6994	104	6	,	,	PUNCT
ejpam-6994	104	7	18	18	NUM
ejpam-6994	104	8	(	(	PUNCT
ejpam-6994	104	9	4	4	NUM
ejpam-6994	104	10	)	)	PUNCT
ejpam-6994	104	11	(	(	PUNCT
ejpam-6994	104	12	2025	2025	NUM
ejpam-6994	104	13	)	)	PUNCT
ejpam-6994	104	14	,	,	PUNCT
ejpam-6994	104	15	6994	6994	NUM
ejpam-6994	104	16	7	7	NUM
ejpam-6994	104	17	of	of	ADP
ejpam-6994	104	18	22	22	NUM
ejpam-6994	104	19	3.2	3.2	NUM
ejpam-6994	104	20	.	.	PUNCT
ejpam-6994	105	1	formal	formal	ADJ
ejpam-6994	105	2	properties	property	NOUN
ejpam-6994	105	3	of	of	ADP
ejpam-6994	105	4	the	the	DET
ejpam-6994	105	5	dlt	dlt	PROPN
ejpam-6994	105	6	-	-	PUNCT
ejpam-6994	105	7	order	order	NOUN
ejpam-6994	105	8	to	to	PART
ejpam-6994	105	9	establish	establish	VERB
ejpam-6994	105	10	the	the	DET
ejpam-6994	105	11	mathematical	mathematical	ADJ
ejpam-6994	105	12	validity	validity	NOUN
ejpam-6994	105	13	of	of	ADP
ejpam-6994	105	14	the	the	DET
ejpam-6994	105	15	dlt	dlt	PROPN
ejpam-6994	105	16	-	-	PUNCT
ejpam-6994	105	17	order	order	NOUN
ejpam-6994	105	18	,	,	PUNCT
ejpam-6994	105	19	we	we	PRON
ejpam-6994	105	20	provide	provide	VERB
ejpam-6994	105	21	its	its	PRON
ejpam-6994	105	22	formal	formal	ADJ
ejpam-6994	105	23	properties	property	NOUN
ejpam-6994	105	24	and	and	CCONJ
ejpam-6994	105	25	corresponding	corresponding	ADJ
ejpam-6994	105	26	proofs	proof	NOUN
ejpam-6994	105	27	.	.	PUNCT
ejpam-6994	106	1	for	for	ADP
ejpam-6994	106	2	clarity	clarity	NOUN
ejpam-6994	106	3	and	and	CCONJ
ejpam-6994	106	4	consistency	consistency	NOUN
ejpam-6994	106	5	,	,	PUNCT
ejpam-6994	106	6	we	we	PRON
ejpam-6994	106	7	adopt	adopt	VERB
ejpam-6994	106	8	the	the	DET
ejpam-6994	106	9	notation	notation	NOUN
ejpam-6994	106	10	:	:	PUNCT
ejpam-6994	107	1	x	x	SYM
ejpam-6994	107	2	≤dlt	≤dlt	NUM
ejpam-6994	107	3	y	y	SYM
ejpam-6994	107	4	⇐	⇐	ADJ
ejpam-6994	107	5	⇒	⇒	PROPN
ejpam-6994	107	6	ld{rx}(s	ld{rx}(s	PRON
ejpam-6994	107	7	)	)	PUNCT
ejpam-6994	107	8	≤	≤	NOUN
ejpam-6994	107	9	ld{ry	ld{ry	PUNCT
ejpam-6994	107	10	}	}	PUNCT
ejpam-6994	107	11	(	(	PUNCT
ejpam-6994	107	12	s	s	NOUN
ejpam-6994	107	13	)	)	PUNCT
ejpam-6994	107	14	,	,	PUNCT
ejpam-6994	107	15	∀s	∀s	PROPN
ejpam-6994	107	16	>	>	X
ejpam-6994	107	17	0	0	PUNCT
ejpam-6994	108	1	(	(	PUNCT
ejpam-6994	108	2	10	10	NUM
ejpam-6994	108	3	)	)	PUNCT
ejpam-6994	108	4	theorem	theorem	NOUN
ejpam-6994	108	5	1	1	NUM
ejpam-6994	108	6	(	(	PUNCT
ejpam-6994	108	7	monotonicity	monotonicity	NOUN
ejpam-6994	108	8	)	)	PUNCT
ejpam-6994	108	9	.	.	PUNCT
ejpam-6994	109	1	if	if	SCONJ
ejpam-6994	109	2	x	x	PRON
ejpam-6994	109	3	≤st	≤st	VERB
ejpam-6994	109	4	y	y	NOUN
ejpam-6994	109	5	,	,	PUNCT
ejpam-6994	109	6	then	then	ADV
ejpam-6994	109	7	x	x	X
ejpam-6994	109	8	≤dlt	≤dlt	NUM
ejpam-6994	109	9	y	y	PROPN
ejpam-6994	109	10	.	.	PUNCT
ejpam-6994	110	1	proof	proof	NOUN
ejpam-6994	110	2	.	.	PUNCT
ejpam-6994	111	1	by	by	ADP
ejpam-6994	111	2	the	the	DET
ejpam-6994	111	3	definition	definition	NOUN
ejpam-6994	111	4	of	of	ADP
ejpam-6994	111	5	the	the	DET
ejpam-6994	111	6	usual	usual	ADJ
ejpam-6994	111	7	stochastic	stochastic	ADJ
ejpam-6994	111	8	order	order	NOUN
ejpam-6994	111	9	,	,	PUNCT
ejpam-6994	111	10	p	p	X
ejpam-6994	111	11	(	(	PUNCT
ejpam-6994	111	12	x	x	SYM
ejpam-6994	111	13	>	>	X
ejpam-6994	111	14	k	k	PROPN
ejpam-6994	111	15	)	)	PUNCT
ejpam-6994	111	16	≤	≤	NOUN
ejpam-6994	111	17	p	p	NOUN
ejpam-6994	111	18	(	(	PUNCT
ejpam-6994	111	19	y	y	PROPN
ejpam-6994	111	20	>	>	X
ejpam-6994	111	21	k	k	PROPN
ejpam-6994	111	22	)	)	PUNCT
ejpam-6994	111	23	,	,	PUNCT
ejpam-6994	111	24	∀k	∀k	NOUN
ejpam-6994	111	25	≥	≥	NUM
ejpam-6994	111	26	0	0	NUM
ejpam-6994	111	27	.	.	PUNCT
ejpam-6994	112	1	since	since	SCONJ
ejpam-6994	112	2	e−sk	e−sk	PROPN
ejpam-6994	112	3	>	>	X
ejpam-6994	112	4	0	0	PUNCT
ejpam-6994	112	5	for	for	ADP
ejpam-6994	112	6	all	all	PRON
ejpam-6994	112	7	s	s	PROPN
ejpam-6994	112	8	>	>	X
ejpam-6994	112	9	0	0	PROPN
ejpam-6994	112	10	and	and	CCONJ
ejpam-6994	112	11	k	k	PROPN
ejpam-6994	112	12	≥	≥	PROPN
ejpam-6994	112	13	0	0	NUM
ejpam-6994	112	14	,	,	PUNCT
ejpam-6994	112	15	multiplying	multiply	VERB
ejpam-6994	112	16	both	both	DET
ejpam-6994	112	17	sides	side	NOUN
ejpam-6994	112	18	by	by	ADP
ejpam-6994	112	19	e−sk	e−sk	PROPN
ejpam-6994	112	20	and	and	CCONJ
ejpam-6994	112	21	summing	sum	VERB
ejpam-6994	112	22	over	over	ADP
ejpam-6994	112	23	k	k	PROPN
ejpam-6994	112	24	yields	yield	NOUN
ejpam-6994	112	25	:	:	PUNCT
ejpam-6994	112	26	∞∑	∞∑	NUM
ejpam-6994	112	27	k=0	k=0	PUNCT
ejpam-6994	112	28	p	p	X
ejpam-6994	112	29	(	(	PUNCT
ejpam-6994	112	30	x	x	PROPN
ejpam-6994	112	31	>	>	X
ejpam-6994	112	32	k)e−sk	k)e−sk	PROPN
ejpam-6994	112	33	≤	≤	VERB
ejpam-6994	112	34	∞∑	∞∑	DET
ejpam-6994	112	35	k=0	k=0	PROPN
ejpam-6994	112	36	p	p	X
ejpam-6994	112	37	(	(	PUNCT
ejpam-6994	112	38	y	y	PROPN
ejpam-6994	112	39	>	>	X
ejpam-6994	112	40	k)e−sk	k)e−sk	PROPN
ejpam-6994	112	41	,	,	PUNCT
ejpam-6994	112	42	∀s	∀s	PROPN
ejpam-6994	112	43	>	>	X
ejpam-6994	112	44	0	0	PUNCT
ejpam-6994	113	1	(	(	PUNCT
ejpam-6994	113	2	11	11	NUM
ejpam-6994	113	3	)	)	PUNCT
ejpam-6994	113	4	which	which	PRON
ejpam-6994	113	5	implies	imply	VERB
ejpam-6994	113	6	that	that	SCONJ
ejpam-6994	113	7	x	x	PROPN
ejpam-6994	113	8	≤dlt	≤dlt	NUM
ejpam-6994	113	9	y	y	PROPN
ejpam-6994	113	10	.	.	PUNCT
ejpam-6994	114	1	theorem	theorem	ADJ
ejpam-6994	114	2	2	2	NUM
ejpam-6994	114	3	(	(	PUNCT
ejpam-6994	114	4	transitivity	transitivity	NOUN
ejpam-6994	114	5	)	)	PUNCT
ejpam-6994	114	6	.	.	PUNCT
ejpam-6994	115	1	if	if	SCONJ
ejpam-6994	115	2	x	x	PROPN
ejpam-6994	115	3	≤dlt	≤dlt	NUM
ejpam-6994	115	4	y	y	PROPN
ejpam-6994	115	5	and	and	CCONJ
ejpam-6994	115	6	y	y	PROPN
ejpam-6994	115	7	≤dlt	≤dlt	PROPN
ejpam-6994	115	8	z	z	PROPN
ejpam-6994	115	9	,	,	PUNCT
ejpam-6994	115	10	then	then	ADV
ejpam-6994	115	11	x	x	X
ejpam-6994	115	12	≤dlt	≤dlt	NUM
ejpam-6994	115	13	z.	z.	NOUN
ejpam-6994	115	14	proof	proof	NOUN
ejpam-6994	115	15	.	.	PUNCT
ejpam-6994	116	1	by	by	ADP
ejpam-6994	116	2	definition	definition	NOUN
ejpam-6994	116	3	,	,	PUNCT
ejpam-6994	116	4	for	for	SCONJ
ejpam-6994	116	5	all	all	PRON
ejpam-6994	116	6	s	s	VERB
ejpam-6994	116	7	>	>	X
ejpam-6994	116	8	0	0	NUM
ejpam-6994	116	9	,	,	PUNCT
ejpam-6994	116	10	∞∑	∞∑	ADJ
ejpam-6994	116	11	k=0	k=0	PUNCT
ejpam-6994	116	12	p	p	X
ejpam-6994	116	13	(	(	PUNCT
ejpam-6994	116	14	x	x	PROPN
ejpam-6994	116	15	>	>	X
ejpam-6994	116	16	k)e−sk	k)e−sk	PROPN
ejpam-6994	116	17	≤	≤	VERB
ejpam-6994	117	1	∞∑	∞∑	DET
ejpam-6994	117	2	k=0	k=0	PROPN
ejpam-6994	117	3	p	p	X
ejpam-6994	117	4	(	(	PUNCT
ejpam-6994	117	5	y	y	PROPN
ejpam-6994	117	6	>	>	X
ejpam-6994	117	7	k)e−sk	k)e−sk	PROPN
ejpam-6994	117	8	,	,	PUNCT
ejpam-6994	117	9	(	(	PUNCT
ejpam-6994	117	10	12	12	NUM
ejpam-6994	117	11	)	)	PUNCT
ejpam-6994	117	12	and	and	CCONJ
ejpam-6994	117	13	∞∑	∞∑	DET
ejpam-6994	117	14	k=0	k=0	PROPN
ejpam-6994	117	15	p	p	X
ejpam-6994	117	16	(	(	PUNCT
ejpam-6994	117	17	y	y	PROPN
ejpam-6994	117	18	>	>	X
ejpam-6994	117	19	k)e−sk	k)e−sk	PROPN
ejpam-6994	117	20	≤	≤	VERB
ejpam-6994	118	1	∞∑	∞∑	PRON
ejpam-6994	118	2	k=0	k=0	PROPN
ejpam-6994	118	3	p	p	X
ejpam-6994	118	4	(	(	PUNCT
ejpam-6994	118	5	z	z	NOUN
ejpam-6994	118	6	>	>	X
ejpam-6994	118	7	k)e−sk	k)e−sk	PROPN
ejpam-6994	118	8	.	.	PUNCT
ejpam-6994	118	9	(	(	PUNCT
ejpam-6994	118	10	13	13	NUM
ejpam-6994	118	11	)	)	PUNCT
ejpam-6994	118	12	by	by	ADP
ejpam-6994	118	13	transitivity	transitivity	NOUN
ejpam-6994	118	14	of	of	ADP
ejpam-6994	118	15	the	the	DET
ejpam-6994	118	16	usual	usual	ADJ
ejpam-6994	118	17	order	order	NOUN
ejpam-6994	118	18	on	on	ADP
ejpam-6994	118	19	real	real	ADJ
ejpam-6994	118	20	numbers	number	NOUN
ejpam-6994	118	21	,	,	PUNCT
ejpam-6994	118	22	it	it	PRON
ejpam-6994	118	23	follows	follow	VERB
ejpam-6994	118	24	that	that	SCONJ
ejpam-6994	118	25	∞∑	∞∑	NUM
ejpam-6994	118	26	k=0	k=0	PROPN
ejpam-6994	118	27	p	p	X
ejpam-6994	118	28	(	(	PUNCT
ejpam-6994	118	29	x	x	PROPN
ejpam-6994	118	30	>	>	X
ejpam-6994	118	31	k)e−sk	k)e−sk	PROPN
ejpam-6994	118	32	≤	≤	VERB
ejpam-6994	119	1	∞∑	∞∑	PRON
ejpam-6994	119	2	k=0	k=0	PROPN
ejpam-6994	119	3	p	p	X
ejpam-6994	119	4	(	(	PUNCT
ejpam-6994	119	5	z	z	X
ejpam-6994	119	6	>	>	X
ejpam-6994	119	7	k)e−sk	k)e−sk	PROPN
ejpam-6994	119	8	,	,	PUNCT
ejpam-6994	119	9	∀s	∀s	PROPN
ejpam-6994	119	10	>	>	X
ejpam-6994	119	11	0	0	NUM
ejpam-6994	119	12	,	,	PUNCT
ejpam-6994	119	13	(	(	PUNCT
ejpam-6994	119	14	14	14	NUM
ejpam-6994	119	15	)	)	PUNCT
ejpam-6994	119	16	which	which	PRON
ejpam-6994	119	17	implies	imply	VERB
ejpam-6994	119	18	that	that	SCONJ
ejpam-6994	119	19	x	x	PROPN
ejpam-6994	119	20	≤dlt	≤dlt	NUM
ejpam-6994	119	21	z.	z.	PROPN
ejpam-6994	119	22	3.3	3.3	NUM
ejpam-6994	119	23	.	.	PUNCT
ejpam-6994	119	24	numerical	numerical	ADJ
ejpam-6994	119	25	illustration	illustration	NOUN
ejpam-6994	119	26	consider	consider	VERB
ejpam-6994	119	27	two	two	NUM
ejpam-6994	119	28	geometric	geometric	ADJ
ejpam-6994	119	29	distributions	distribution	NOUN
ejpam-6994	119	30	x	x	NOUN
ejpam-6994	119	31	∼	∼	NOUN
ejpam-6994	119	32	geom(p1	geom(p1	NOUN
ejpam-6994	119	33	=	=	NOUN
ejpam-6994	119	34	0.2	0.2	NUM
ejpam-6994	119	35	)	)	PUNCT
ejpam-6994	119	36	and	and	CCONJ
ejpam-6994	119	37	y	y	PROPN
ejpam-6994	119	38	∼	∼	NOUN
ejpam-6994	119	39	geom(p2	geom(p2	ADJ
ejpam-6994	119	40	=	=	ADJ
ejpam-6994	119	41	0.3	0.3	NUM
ejpam-6994	119	42	)	)	PUNCT
ejpam-6994	119	43	.	.	PUNCT
ejpam-6994	120	1	their	their	PRON
ejpam-6994	120	2	residual	residual	ADJ
ejpam-6994	120	3	life	life	NOUN
ejpam-6994	120	4	functions	function	NOUN
ejpam-6994	120	5	are	be	AUX
ejpam-6994	120	6	rx(k	rx(k	NOUN
ejpam-6994	120	7	)	)	PUNCT
ejpam-6994	120	8	=	=	SYM
ejpam-6994	120	9	(	(	PUNCT
ejpam-6994	120	10	1−	1−	NUM
ejpam-6994	120	11	p1	p1	NOUN
ejpam-6994	120	12	)	)	PUNCT
ejpam-6994	120	13	k+1	k+1	NOUN
ejpam-6994	121	1	=	=	NUM
ejpam-6994	121	2	0.8	0.8	NUM
ejpam-6994	121	3	k+1	k+1	NOUN
ejpam-6994	121	4	,	,	PUNCT
ejpam-6994	121	5	ry	ry	ADJ
ejpam-6994	121	6	(	(	PUNCT
ejpam-6994	121	7	k	k	NOUN
ejpam-6994	121	8	)	)	PUNCT
ejpam-6994	121	9	=	=	SYM
ejpam-6994	121	10	(	(	PUNCT
ejpam-6994	121	11	1−	1−	NUM
ejpam-6994	121	12	p2	p2	NOUN
ejpam-6994	121	13	)	)	PUNCT
ejpam-6994	122	1	k+1	k+1	NOUN
ejpam-6994	122	2	=	=	SYM
ejpam-6994	122	3	0.7	0.7	NUM
ejpam-6994	122	4	k+1	k+1	NOUN
ejpam-6994	122	5	.	.	PUNCT
ejpam-6994	123	1	at	at	ADP
ejpam-6994	123	2	s	s	NOUN
ejpam-6994	123	3	=	=	SYM
ejpam-6994	123	4	0.5	0.5	NUM
ejpam-6994	123	5	,	,	PUNCT
ejpam-6994	123	6	the	the	DET
ejpam-6994	123	7	dlt	dlt	PROPN
ejpam-6994	123	8	values	value	NOUN
ejpam-6994	123	9	are	be	AUX
ejpam-6994	123	10	a.	a.	NOUN
ejpam-6994	123	11	a.	a.	NOUN
ejpam-6994	123	12	shokeralla	shokeralla	PROPN
ejpam-6994	123	13	/	/	SYM
ejpam-6994	123	14	eur	eur	PROPN
ejpam-6994	123	15	.	.	PUNCT
ejpam-6994	124	1	j.	j.	PROPN
ejpam-6994	124	2	pure	pure	PROPN
ejpam-6994	124	3	appl	appl	PROPN
ejpam-6994	124	4	.	.	PROPN
ejpam-6994	124	5	math	math	PROPN
ejpam-6994	124	6	,	,	PUNCT
ejpam-6994	124	7	18	18	NUM
ejpam-6994	124	8	(	(	PUNCT
ejpam-6994	124	9	4	4	NUM
ejpam-6994	124	10	)	)	PUNCT
ejpam-6994	124	11	(	(	PUNCT
ejpam-6994	124	12	2025	2025	NUM
ejpam-6994	124	13	)	)	PUNCT
ejpam-6994	124	14	,	,	PUNCT
ejpam-6994	124	15	6994	6994	NUM
ejpam-6994	124	16	8	8	NUM
ejpam-6994	124	17	of	of	ADP
ejpam-6994	124	18	22	22	NUM
ejpam-6994	124	19	ld{rx}(0.5	ld{rx}(0.5	NOUN
ejpam-6994	124	20	)	)	PUNCT
ejpam-6994	124	21	=	=	PUNCT
ejpam-6994	125	1	∞∑	∞∑	NUM
ejpam-6994	125	2	k=0	k=0	PROPN
ejpam-6994	125	3	0.8	0.8	NUM
ejpam-6994	125	4	k+1e−0.5k	k+1e−0.5k	PROPN
ejpam-6994	126	1	≈	≈	PROPN
ejpam-6994	126	2	3.20	3.20	NUM
ejpam-6994	126	3	,	,	PUNCT
ejpam-6994	126	4	ld{ry	ld{ry	PUNCT
ejpam-6994	126	5	}	}	PUNCT
ejpam-6994	126	6	(	(	PUNCT
ejpam-6994	126	7	0.5	0.5	NUM
ejpam-6994	126	8	)	)	PUNCT
ejpam-6994	126	9	=	=	NOUN
ejpam-6994	127	1	∞∑	∞∑	NUM
ejpam-6994	127	2	k=0	k=0	PROPN
ejpam-6994	127	3	0.7	0.7	NUM
ejpam-6994	127	4	k+1e−0.5k	k+1e−0.5k	PROPN
ejpam-6994	127	5	≈	≈	PROPN
ejpam-6994	127	6	2.45	2.45	NUM
ejpam-6994	127	7	.	.	PUNCT
ejpam-6994	128	1	since	since	SCONJ
ejpam-6994	128	2	ld{rx}(0.5	ld{rx}(0.5	PRON
ejpam-6994	128	3	)	)	PUNCT
ejpam-6994	128	4	>	>	X
ejpam-6994	128	5	ld{ry	ld{ry	PROPN
ejpam-6994	128	6	}	}	PUNCT
ejpam-6994	128	7	(	(	PUNCT
ejpam-6994	128	8	0.5	0.5	NUM
ejpam-6994	128	9	)	)	PUNCT
ejpam-6994	128	10	,	,	PUNCT
ejpam-6994	128	11	we	we	PRON
ejpam-6994	128	12	conclude	conclude	VERB
ejpam-6994	128	13	that	that	SCONJ
ejpam-6994	128	14	y	y	PROPN
ejpam-6994	128	15	≤dlt	≤dlt	NUM
ejpam-6994	128	16	x	x	NOUN
ejpam-6994	128	17	,	,	PUNCT
ejpam-6994	128	18	consistent	consistent	ADJ
ejpam-6994	128	19	with	with	ADP
ejpam-6994	128	20	the	the	DET
ejpam-6994	128	21	fact	fact	NOUN
ejpam-6994	128	22	that	that	SCONJ
ejpam-6994	128	23	y	y	PROPN
ejpam-6994	128	24	has	have	AUX
ejpam-6994	128	25	a	a	DET
ejpam-6994	128	26	shorter	short	ADJ
ejpam-6994	128	27	mean	mean	NOUN
ejpam-6994	128	28	waiting	waiting	NOUN
ejpam-6994	128	29	time	time	NOUN
ejpam-6994	128	30	(	(	PUNCT
ejpam-6994	128	31	e[y	e[y	ADJ
ejpam-6994	128	32	]	]	PUNCT
ejpam-6994	128	33	=	=	PUNCT
ejpam-6994	128	34	3.33	3.33	NUM
ejpam-6994	128	35	<	<	X
ejpam-6994	128	36	e[x	e[x	NOUN
ejpam-6994	128	37	]	]	X
ejpam-6994	128	38	=	=	SYM
ejpam-6994	128	39	5	5	NUM
ejpam-6994	128	40	)	)	PUNCT
ejpam-6994	128	41	.	.	PUNCT
ejpam-6994	129	1	4	4	X
ejpam-6994	129	2	.	.	NUM
ejpam-6994	129	3	extended	extend	VERB
ejpam-6994	129	4	properties	property	NOUN
ejpam-6994	129	5	of	of	ADP
ejpam-6994	129	6	the	the	DET
ejpam-6994	129	7	dlt	dlt	PROPN
ejpam-6994	129	8	order	order	NOUN
ejpam-6994	129	9	here	here	ADV
ejpam-6994	129	10	,	,	PUNCT
ejpam-6994	129	11	we	we	PRON
ejpam-6994	129	12	prove	prove	VERB
ejpam-6994	129	13	the	the	DET
ejpam-6994	129	14	necessary	necessary	ADJ
ejpam-6994	129	15	mathematical	mathematical	ADJ
ejpam-6994	129	16	properties	property	NOUN
ejpam-6994	129	17	of	of	ADP
ejpam-6994	129	18	the	the	DET
ejpam-6994	129	19	dlt	dlt	PROPN
ejpam-6994	129	20	-	-	PUNCT
ejpam-6994	129	21	based	base	VERB
ejpam-6994	129	22	stochastic	stochastic	ADJ
ejpam-6994	129	23	order	order	NOUN
ejpam-6994	129	24	and	and	CCONJ
ejpam-6994	129	25	show	show	VERB
ejpam-6994	129	26	that	that	SCONJ
ejpam-6994	129	27	the	the	DET
ejpam-6994	129	28	new	new	ADJ
ejpam-6994	129	29	definition	definition	NOUN
ejpam-6994	129	30	satisfies	satisfy	VERB
ejpam-6994	129	31	the	the	DET
ejpam-6994	129	32	basic	basic	ADJ
ejpam-6994	129	33	axioms	axiom	NOUN
ejpam-6994	129	34	of	of	ADP
ejpam-6994	129	35	a	a	DET
ejpam-6994	129	36	meaningful	meaningful	ADJ
ejpam-6994	129	37	and	and	CCONJ
ejpam-6994	129	38	valid	valid	ADJ
ejpam-6994	129	39	stochastic	stochastic	ADJ
ejpam-6994	129	40	order	order	NOUN
ejpam-6994	129	41	[	[	X
ejpam-6994	129	42	8	8	NUM
ejpam-6994	129	43	,	,	PUNCT
ejpam-6994	129	44	43	43	NUM
ejpam-6994	129	45	]	]	PUNCT
ejpam-6994	129	46	.	.	PUNCT
ejpam-6994	130	1	reflexivity	reflexivity	NOUN
ejpam-6994	130	2	.	.	PUNCT
ejpam-6994	131	1	x	x	SYM
ejpam-6994	131	2	≤dlt	≤dlt	NUM
ejpam-6994	131	3	x	x	PUNCT
ejpam-6994	131	4	trivially	trivially	ADV
ejpam-6994	131	5	,	,	PUNCT
ejpam-6994	131	6	since	since	SCONJ
ejpam-6994	131	7	ld{rx}(s	ld{rx}(s	ADP
ejpam-6994	131	8	)	)	PUNCT
ejpam-6994	131	9	=	=	SYM
ejpam-6994	131	10	ld{rx}(s	ld{rx}(s	X
ejpam-6994	131	11	)	)	PUNCT
ejpam-6994	131	12	,	,	PUNCT
ejpam-6994	131	13	∀s	∀s	PROPN
ejpam-6994	131	14	>	>	X
ejpam-6994	131	15	0	0	PUNCT
ejpam-6994	131	16	(	(	PUNCT
ejpam-6994	131	17	15	15	NUM
ejpam-6994	131	18	)	)	PUNCT
ejpam-6994	131	19	transitivity	transitivity	NOUN
ejpam-6994	131	20	.	.	PUNCT
ejpam-6994	132	1	if	if	SCONJ
ejpam-6994	132	2	x	x	PROPN
ejpam-6994	132	3	≤dlt	≤dlt	NUM
ejpam-6994	132	4	y	y	PROPN
ejpam-6994	132	5	and	and	CCONJ
ejpam-6994	132	6	y	y	PROPN
ejpam-6994	132	7	≤dlt	≤dlt	PROPN
ejpam-6994	132	8	z	z	PROPN
ejpam-6994	132	9	,	,	PUNCT
ejpam-6994	132	10	then	then	ADV
ejpam-6994	132	11	x	x	X
ejpam-6994	132	12	≤dlt	≤dlt	NUM
ejpam-6994	132	13	z	z	PROPN
ejpam-6994	132	14	,	,	PUNCT
ejpam-6994	132	15	due	due	ADP
ejpam-6994	132	16	to	to	PART
ejpam-6994	132	17	pointwise	pointwise	VERB
ejpam-6994	132	18	inequalities	inequality	NOUN
ejpam-6994	132	19	over	over	ADP
ejpam-6994	132	20	s	s	PROPN
ejpam-6994	132	21	>	>	X
ejpam-6994	132	22	0	0	NUM
ejpam-6994	132	23	.	.	PUNCT
ejpam-6994	133	1	hence	hence	ADV
ejpam-6994	133	2	,	,	PUNCT
ejpam-6994	133	3	the	the	DET
ejpam-6994	133	4	dlt	dlt	PROPN
ejpam-6994	133	5	-	-	PUNCT
ejpam-6994	133	6	order	order	NOUN
ejpam-6994	133	7	is	be	AUX
ejpam-6994	133	8	a	a	DET
ejpam-6994	133	9	partial	partial	ADJ
ejpam-6994	133	10	ordering	ordering	NOUN
ejpam-6994	133	11	on	on	ADP
ejpam-6994	133	12	the	the	DET
ejpam-6994	133	13	set	set	NOUN
ejpam-6994	133	14	of	of	ADP
ejpam-6994	133	15	non	non	ADJ
ejpam-6994	133	16	-	-	ADJ
ejpam-6994	133	17	negative	negative	ADJ
ejpam-6994	133	18	discrete	discrete	ADJ
ejpam-6994	133	19	random	random	ADJ
ejpam-6994	133	20	variables	variable	NOUN
ejpam-6994	133	21	.	.	PUNCT
ejpam-6994	134	1	it	it	PRON
ejpam-6994	134	2	satisfies	satisfy	VERB
ejpam-6994	134	3	:	:	PUNCT
ejpam-6994	134	4	4.1	4.1	NUM
ejpam-6994	134	5	.	.	PUNCT
ejpam-6994	135	1	monotonicity	monotonicity	NOUN
ejpam-6994	135	2	under	under	ADP
ejpam-6994	135	3	transformations	transformation	NOUN
ejpam-6994	135	4	let	let	VERB
ejpam-6994	135	5	f	f	PRON
ejpam-6994	135	6	be	be	AUX
ejpam-6994	135	7	a	a	DET
ejpam-6994	135	8	strictly	strictly	ADV
ejpam-6994	135	9	increasing	increase	VERB
ejpam-6994	135	10	function	function	NOUN
ejpam-6994	135	11	.	.	PUNCT
ejpam-6994	136	1	then	then	ADV
ejpam-6994	136	2	f(x	f(x	PROPN
ejpam-6994	136	3	)	)	PUNCT
ejpam-6994	136	4	≤dlt	≤dlt	NUM
ejpam-6994	136	5	f(y	f(y	NOUN
ejpam-6994	136	6	)	)	PUNCT
ejpam-6994	137	1	=	=	VERB
ejpam-6994	137	2	⇒	⇒	NOUN
ejpam-6994	137	3	x	x	X
ejpam-6994	137	4	≤dlt	≤dlt	NUM
ejpam-6994	137	5	y	y	PROPN
ejpam-6994	137	6	(	(	PUNCT
ejpam-6994	137	7	16	16	NUM
ejpam-6994	137	8	)	)	PUNCT
ejpam-6994	137	9	this	this	DET
ejpam-6994	137	10	property	property	NOUN
ejpam-6994	137	11	highlights	highlight	NOUN
ejpam-6994	137	12	that	that	PRON
ejpam-6994	137	13	the	the	DET
ejpam-6994	137	14	dlt	dlt	PROPN
ejpam-6994	137	15	-	-	PUNCT
ejpam-6994	137	16	order	order	NOUN
ejpam-6994	137	17	is	be	AUX
ejpam-6994	137	18	preserved	preserve	VERB
ejpam-6994	137	19	under	under	ADP
ejpam-6994	137	20	scale	scale	NOUN
ejpam-6994	137	21	and	and	CCONJ
ejpam-6994	137	22	shift	shift	NOUN
ejpam-6994	137	23	transformations	transformation	NOUN
ejpam-6994	137	24	,	,	PUNCT
ejpam-6994	137	25	which	which	PRON
ejpam-6994	137	26	include	include	VERB
ejpam-6994	137	27	,	,	PUNCT
ejpam-6994	137	28	for	for	ADP
ejpam-6994	137	29	example	example	NOUN
ejpam-6994	137	30	,	,	PUNCT
ejpam-6994	137	31	rescaling	rescale	VERB
ejpam-6994	137	32	service	service	NOUN
ejpam-6994	137	33	times	time	NOUN
ejpam-6994	137	34	or	or	CCONJ
ejpam-6994	137	35	re	re	NOUN
ejpam-6994	137	36	-	-	VERB
ejpam-6994	137	37	labeling	label	VERB
ejpam-6994	137	38	the	the	DET
ejpam-6994	137	39	discrete	discrete	ADJ
ejpam-6994	137	40	support	support	NOUN
ejpam-6994	137	41	.	.	PUNCT
ejpam-6994	138	1	4.2	4.2	NUM
ejpam-6994	138	2	.	.	PUNCT
ejpam-6994	138	3	closedness	closedness	ADJ
ejpam-6994	138	4	concerning	concern	VERB
ejpam-6994	138	5	mixture	mixture	NOUN
ejpam-6994	138	6	and	and	CCONJ
ejpam-6994	138	7	convolution	convolution	NOUN
ejpam-6994	138	8	a	a	DET
ejpam-6994	138	9	special	special	ADJ
ejpam-6994	138	10	property	property	NOUN
ejpam-6994	138	11	of	of	ADP
ejpam-6994	138	12	the	the	DET
ejpam-6994	138	13	dlt	dlt	PROPN
ejpam-6994	138	14	-	-	PUNCT
ejpam-6994	138	15	order	order	NOUN
ejpam-6994	138	16	is	be	AUX
ejpam-6994	138	17	that	that	SCONJ
ejpam-6994	138	18	it	it	PRON
ejpam-6994	138	19	is	be	AUX
ejpam-6994	138	20	closed	close	VERB
ejpam-6994	138	21	under	under	ADP
ejpam-6994	138	22	distribution	distribution	NOUN
ejpam-6994	138	23	mixture	mixture	NOUN
ejpam-6994	138	24	and	and	CCONJ
ejpam-6994	138	25	convolution	convolution	NOUN
ejpam-6994	138	26	,	,	PUNCT
ejpam-6994	138	27	which	which	PRON
ejpam-6994	138	28	are	be	AUX
ejpam-6994	138	29	fundamental	fundamental	ADJ
ejpam-6994	138	30	operations	operation	NOUN
ejpam-6994	138	31	in	in	ADP
ejpam-6994	138	32	reliability	reliability	NOUN
ejpam-6994	138	33	modeling	modeling	NOUN
ejpam-6994	138	34	and	and	CCONJ
ejpam-6994	138	35	queueing	queue	VERB
ejpam-6994	138	36	[	[	X
ejpam-6994	138	37	38	38	NUM
ejpam-6994	138	38	]	]	PUNCT
ejpam-6994	138	39	.	.	PUNCT
ejpam-6994	139	1	theorem	theorem	ADJ
ejpam-6994	139	2	3	3	NUM
ejpam-6994	139	3	(	(	PUNCT
ejpam-6994	139	4	mixture	mixture	NOUN
ejpam-6994	139	5	closure	closure	NOUN
ejpam-6994	139	6	)	)	PUNCT
ejpam-6994	139	7	.	.	PUNCT
ejpam-6994	140	1	let	let	VERB
ejpam-6994	140	2	{	{	PUNCT
ejpam-6994	140	3	xi}ni=1	xi}ni=1	PROPN
ejpam-6994	140	4	and	and	CCONJ
ejpam-6994	140	5	{	{	PUNCT
ejpam-6994	140	6	yi}ni=1	yi}ni=1	PRON
ejpam-6994	140	7	be	be	VERB
ejpam-6994	140	8	sequences	sequence	NOUN
ejpam-6994	140	9	of	of	ADP
ejpam-6994	140	10	non	non	ADJ
ejpam-6994	140	11	-	-	ADJ
ejpam-6994	140	12	negative	negative	ADJ
ejpam-6994	140	13	integer	integer	NOUN
ejpam-6994	140	14	-	-	PUNCT
ejpam-6994	140	15	valued	value	VERB
ejpam-6994	140	16	random	random	ADJ
ejpam-6994	140	17	variables	variable	NOUN
ejpam-6994	140	18	such	such	ADJ
ejpam-6994	140	19	that	that	SCONJ
ejpam-6994	140	20	xi	xi	PROPN
ejpam-6994	140	21	≤dlt	≤dlt	NUM
ejpam-6994	140	22	yi	yi	PROPN
ejpam-6994	140	23	for	for	ADP
ejpam-6994	140	24	all	all	DET
ejpam-6994	140	25	i.	i.	NOUN
ejpam-6994	140	26	let	let	VERB
ejpam-6994	140	27	p1	p1	PROPN
ejpam-6994	140	28	,	,	PUNCT
ejpam-6994	140	29	p2	p2	NOUN
ejpam-6994	140	30	,	,	PUNCT
ejpam-6994	140	31	.	.	PUNCT
ejpam-6994	140	32	.	.	PUNCT
ejpam-6994	140	33	.	.	PUNCT
ejpam-6994	141	1	,	,	PUNCT
ejpam-6994	141	2	pn	pn	PROPN
ejpam-6994	141	3	be	be	AUX
ejpam-6994	141	4	nonnegative	nonnegative	ADJ
ejpam-6994	141	5	weights	weight	NOUN
ejpam-6994	141	6	with	with	ADP
ejpam-6994	141	7	∑n	∑n	PROPN
ejpam-6994	141	8	i=1	i=1	PROPN
ejpam-6994	141	9	pi	pi	NOUN
ejpam-6994	141	10	=	=	NOUN
ejpam-6994	142	1	1	1	X
ejpam-6994	142	2	.	.	X
ejpam-6994	142	3	define	define	VERB
ejpam-6994	142	4	the	the	DET
ejpam-6994	142	5	mixtures	mixture	NOUN
ejpam-6994	142	6	x	x	PUNCT
ejpam-6994	142	7	=	=	SYM
ejpam-6994	142	8	n∑	n∑	PROPN
ejpam-6994	142	9	i=1	i=1	PROPN
ejpam-6994	142	10	pixi	pixi	NOUN
ejpam-6994	142	11	,	,	PUNCT
ejpam-6994	142	12	y	y	PROPN
ejpam-6994	142	13	=	=	SYM
ejpam-6994	142	14	n∑	n∑	PROPN
ejpam-6994	142	15	i=1	i=1	PROPN
ejpam-6994	142	16	piyi	piyi	NOUN
ejpam-6994	142	17	.	.	PUNCT
ejpam-6994	143	1	then	then	ADV
ejpam-6994	143	2	x	x	X
ejpam-6994	143	3	≤dlt	≤dlt	NUM
ejpam-6994	143	4	y	y	PROPN
ejpam-6994	143	5	.	.	PUNCT
ejpam-6994	143	6	a.	a.	NOUN
ejpam-6994	143	7	a.	a.	PROPN
ejpam-6994	143	8	shokeralla	shokeralla	PROPN
ejpam-6994	143	9	/	/	SYM
ejpam-6994	143	10	eur	eur	PROPN
ejpam-6994	143	11	.	.	PUNCT
ejpam-6994	144	1	j.	j.	PROPN
ejpam-6994	144	2	pure	pure	PROPN
ejpam-6994	144	3	appl	appl	PROPN
ejpam-6994	144	4	.	.	PROPN
ejpam-6994	144	5	math	math	PROPN
ejpam-6994	144	6	,	,	PUNCT
ejpam-6994	144	7	18	18	NUM
ejpam-6994	144	8	(	(	PUNCT
ejpam-6994	144	9	4	4	NUM
ejpam-6994	144	10	)	)	PUNCT
ejpam-6994	144	11	(	(	PUNCT
ejpam-6994	144	12	2025	2025	NUM
ejpam-6994	144	13	)	)	PUNCT
ejpam-6994	144	14	,	,	PUNCT
ejpam-6994	144	15	6994	6994	NUM
ejpam-6994	144	16	9	9	NUM
ejpam-6994	144	17	of	of	ADP
ejpam-6994	144	18	22	22	NUM
ejpam-6994	144	19	proof	proof	NOUN
ejpam-6994	144	20	.	.	PUNCT
ejpam-6994	145	1	the	the	DET
ejpam-6994	145	2	residual	residual	ADJ
ejpam-6994	145	3	life	life	NOUN
ejpam-6994	145	4	of	of	ADP
ejpam-6994	145	5	a	a	DET
ejpam-6994	145	6	mixture	mixture	NOUN
ejpam-6994	145	7	satisfies	satisfie	NOUN
ejpam-6994	145	8	p	p	X
ejpam-6994	145	9	(	(	PUNCT
ejpam-6994	145	10	x	x	SYM
ejpam-6994	145	11	>	>	X
ejpam-6994	145	12	k	k	NOUN
ejpam-6994	145	13	)	)	PUNCT
ejpam-6994	146	1	=	=	SYM
ejpam-6994	146	2	n∑	n∑	PROPN
ejpam-6994	146	3	i=1	i=1	PROPN
ejpam-6994	146	4	pip	pip	PROPN
ejpam-6994	146	5	(	(	PUNCT
ejpam-6994	146	6	xi	xi	X
ejpam-6994	146	7	>	>	X
ejpam-6994	146	8	k	k	PROPN
ejpam-6994	146	9	)	)	PUNCT
ejpam-6994	146	10	,	,	PUNCT
ejpam-6994	146	11	∀k	∀k	NOUN
ejpam-6994	146	12	≥	≥	NUM
ejpam-6994	146	13	0	0	NUM
ejpam-6994	146	14	(	(	PUNCT
ejpam-6994	146	15	17	17	NUM
ejpam-6994	146	16	)	)	PUNCT
ejpam-6994	146	17	therefore	therefore	ADV
ejpam-6994	146	18	,	,	PUNCT
ejpam-6994	146	19	for	for	ADP
ejpam-6994	146	20	all	all	PRON
ejpam-6994	146	21	s	s	PROPN
ejpam-6994	146	22	>	>	X
ejpam-6994	146	23	0	0	NUM
ejpam-6994	146	24	,	,	PUNCT
ejpam-6994	146	25	ld{rx}(s	ld{rx}(s	X
ejpam-6994	146	26	)	)	PUNCT
ejpam-6994	146	27	=	=	NOUN
ejpam-6994	147	1	∞∑	∞∑	NUM
ejpam-6994	147	2	k=0	k=0	PROPN
ejpam-6994	147	3	(	(	PUNCT
ejpam-6994	147	4	n∑	n∑	NOUN
ejpam-6994	147	5	i=1	i=1	PROPN
ejpam-6994	147	6	pip	pip	PROPN
ejpam-6994	147	7	(	(	PUNCT
ejpam-6994	147	8	xi	xi	X
ejpam-6994	147	9	>	>	X
ejpam-6994	147	10	k	k	PROPN
ejpam-6994	147	11	)	)	PUNCT
ejpam-6994	147	12	)	)	PUNCT
ejpam-6994	148	1	e−sk	e−sk	PROPN
ejpam-6994	148	2	=	=	SYM
ejpam-6994	149	1	n∑	n∑	PROPN
ejpam-6994	149	2	i=1	i=1	PROPN
ejpam-6994	149	3	pild{rxi}(s	pild{rxi}(s	PROPN
ejpam-6994	149	4	)	)	PUNCT
ejpam-6994	149	5	.	.	PUNCT
ejpam-6994	150	1	(	(	PUNCT
ejpam-6994	150	2	18	18	NUM
ejpam-6994	150	3	)	)	PUNCT
ejpam-6994	150	4	similarly	similarly	ADV
ejpam-6994	150	5	,	,	PUNCT
ejpam-6994	150	6	for	for	ADP
ejpam-6994	150	7	y	y	PROPN
ejpam-6994	150	8	.	.	PUNCT
ejpam-6994	151	1	since	since	SCONJ
ejpam-6994	151	2	ld{rxi}(s	ld{rxi}(s	NOUN
ejpam-6994	151	3	)	)	PUNCT
ejpam-6994	151	4	≤	≤	NUM
ejpam-6994	151	5	ld{ryi}(s	ld{ryi}(s	NOUN
ejpam-6994	151	6	)	)	PUNCT
ejpam-6994	151	7	for	for	ADP
ejpam-6994	151	8	all	all	DET
ejpam-6994	151	9	i	i	PRON
ejpam-6994	151	10	and	and	CCONJ
ejpam-6994	151	11	s	s	X
ejpam-6994	151	12	,	,	PUNCT
ejpam-6994	151	13	and	and	CCONJ
ejpam-6994	151	14	pi	pi	NOUN
ejpam-6994	151	15	≥	≥	NUM
ejpam-6994	151	16	0	0	NUM
ejpam-6994	151	17	,	,	PUNCT
ejpam-6994	151	18	we	we	PRON
ejpam-6994	151	19	obtain	obtain	VERB
ejpam-6994	151	20	ld{rx}(s	ld{rx}(s	PRON
ejpam-6994	151	21	)	)	PUNCT
ejpam-6994	151	22	≤	≤	NOUN
ejpam-6994	151	23	ld{ry	ld{ry	PUNCT
ejpam-6994	151	24	}	}	PUNCT
ejpam-6994	151	25	(	(	PUNCT
ejpam-6994	151	26	s	s	NOUN
ejpam-6994	151	27	)	)	PUNCT
ejpam-6994	151	28	,	,	PUNCT
ejpam-6994	151	29	∀s	∀s	PROPN
ejpam-6994	151	30	≥	≥	PROPN
ejpam-6994	151	31	0	0	NUM
ejpam-6994	151	32	,	,	PUNCT
ejpam-6994	151	33	(	(	PUNCT
ejpam-6994	151	34	19	19	NUM
ejpam-6994	151	35	)	)	PUNCT
ejpam-6994	151	36	which	which	PRON
ejpam-6994	151	37	implies	imply	VERB
ejpam-6994	151	38	x	x	PROPN
ejpam-6994	151	39	≤dlt	≤dlt	NUM
ejpam-6994	151	40	y	y	PROPN
ejpam-6994	151	41	.	.	PUNCT
ejpam-6994	151	42	theorem	theorem	VERB
ejpam-6994	151	43	4	4	NUM
ejpam-6994	151	44	(	(	PUNCT
ejpam-6994	151	45	convolution	convolution	NOUN
ejpam-6994	151	46	closure	closure	NOUN
ejpam-6994	151	47	)	)	PUNCT
ejpam-6994	151	48	.	.	PUNCT
ejpam-6994	152	1	if	if	SCONJ
ejpam-6994	152	2	x1	x1	PROPN
ejpam-6994	152	3	≤dlt	≤dlt	NUM
ejpam-6994	152	4	y1	y1	NOUN
ejpam-6994	152	5	and	and	CCONJ
ejpam-6994	152	6	x2	x2	PROPN
ejpam-6994	152	7	≤dlt	≤dlt	NUM
ejpam-6994	152	8	y2	y2	NOUN
ejpam-6994	152	9	,	,	PUNCT
ejpam-6994	152	10	and	and	CCONJ
ejpam-6994	152	11	if	if	SCONJ
ejpam-6994	152	12	x1	x1	PROPN
ejpam-6994	152	13	,	,	PUNCT
ejpam-6994	152	14	x2	x2	PROPN
ejpam-6994	152	15	are	be	AUX
ejpam-6994	152	16	independent	independent	ADJ
ejpam-6994	152	17	and	and	CCONJ
ejpam-6994	152	18	y1	y1	ADJ
ejpam-6994	152	19	,	,	PUNCT
ejpam-6994	152	20	y2	y2	PROPN
ejpam-6994	152	21	are	be	AUX
ejpam-6994	152	22	independent	independent	ADJ
ejpam-6994	152	23	,	,	PUNCT
ejpam-6994	152	24	then	then	ADV
ejpam-6994	152	25	x1	x1	PROPN
ejpam-6994	153	1	+	+	ADJ
ejpam-6994	153	2	x2	x2	PROPN
ejpam-6994	153	3	≤dlt	≤dlt	NUM
ejpam-6994	153	4	y1	y1	NOUN
ejpam-6994	153	5	+	+	CCONJ
ejpam-6994	153	6	y2	y2	NOUN
ejpam-6994	153	7	.	.	PUNCT
ejpam-6994	154	1	proof	proof	NOUN
ejpam-6994	154	2	.	.	PUNCT
ejpam-6994	155	1	the	the	DET
ejpam-6994	155	2	residual	residual	ADJ
ejpam-6994	155	3	life	life	NOUN
ejpam-6994	155	4	of	of	ADP
ejpam-6994	155	5	a	a	DET
ejpam-6994	155	6	sum	sum	NOUN
ejpam-6994	155	7	satisfies	satisfy	VERB
ejpam-6994	155	8	p	p	X
ejpam-6994	155	9	(	(	PUNCT
ejpam-6994	155	10	x1	x1	PROPN
ejpam-6994	155	11	+	+	PROPN
ejpam-6994	155	12	x2	x2	PROPN
ejpam-6994	155	13	>	>	X
ejpam-6994	155	14	k	k	X
ejpam-6994	155	15	)	)	PUNCT
ejpam-6994	155	16	=	=	PUNCT
ejpam-6994	156	1	k∑	k∑	PROPN
ejpam-6994	157	1	i=0	i=0	PROPN
ejpam-6994	157	2	p	p	X
ejpam-6994	157	3	(	(	PUNCT
ejpam-6994	157	4	x1	x1	PROPN
ejpam-6994	157	5	=	=	X
ejpam-6994	157	6	i)p	i)p	ADJ
ejpam-6994	157	7	(	(	PUNCT
ejpam-6994	157	8	x2	x2	INTJ
ejpam-6994	157	9	>	>	X
ejpam-6994	157	10	k	k	PROPN
ejpam-6994	157	11	−	−	PROPN
ejpam-6994	157	12	i	i	PROPN
ejpam-6994	157	13	)	)	PUNCT
ejpam-6994	157	14	.	.	PUNCT
ejpam-6994	158	1	(	(	PUNCT
ejpam-6994	158	2	20	20	NUM
ejpam-6994	158	3	)	)	PUNCT
ejpam-6994	158	4	since	since	SCONJ
ejpam-6994	158	5	x1	x1	PROPN
ejpam-6994	158	6	≤dlt	≤dlt	NUM
ejpam-6994	158	7	y1	y1	PROPN
ejpam-6994	158	8	and	and	CCONJ
ejpam-6994	158	9	x2	x2	PROPN
ejpam-6994	158	10	≤dlt	≤dlt	NUM
ejpam-6994	158	11	y2	y2	NOUN
ejpam-6994	158	12	,	,	PUNCT
ejpam-6994	158	13	and	and	CCONJ
ejpam-6994	158	14	all	all	DET
ejpam-6994	158	15	terms	term	NOUN
ejpam-6994	158	16	are	be	AUX
ejpam-6994	158	17	non	non	ADJ
ejpam-6994	158	18	-	-	ADJ
ejpam-6994	158	19	negative	negative	ADJ
ejpam-6994	158	20	,	,	PUNCT
ejpam-6994	158	21	the	the	DET
ejpam-6994	158	22	inequality	inequality	NOUN
ejpam-6994	158	23	is	be	AUX
ejpam-6994	158	24	preserved	preserve	VERB
ejpam-6994	158	25	under	under	ADP
ejpam-6994	158	26	summation	summation	NOUN
ejpam-6994	158	27	and	and	CCONJ
ejpam-6994	158	28	convolution	convolution	NOUN
ejpam-6994	158	29	.	.	PUNCT
ejpam-6994	159	1	a	a	DET
ejpam-6994	159	2	full	full	ADJ
ejpam-6994	159	3	proof	proof	NOUN
ejpam-6994	159	4	follows	follow	VERB
ejpam-6994	159	5	from	from	ADP
ejpam-6994	159	6	the	the	DET
ejpam-6994	159	7	linearity	linearity	NOUN
ejpam-6994	159	8	of	of	ADP
ejpam-6994	159	9	the	the	DET
ejpam-6994	159	10	dlt	dlt	PROPN
ejpam-6994	159	11	operator	operator	NOUN
ejpam-6994	159	12	and	and	CCONJ
ejpam-6994	159	13	the	the	DET
ejpam-6994	159	14	independence	independence	NOUN
ejpam-6994	159	15	assumption	assumption	NOUN
ejpam-6994	159	16	[	[	X
ejpam-6994	159	17	38	38	NUM
ejpam-6994	159	18	]	]	PUNCT
ejpam-6994	159	19	.	.	PUNCT
ejpam-6994	160	1	4.3	4.3	NUM
ejpam-6994	160	2	.	.	PUNCT
ejpam-6994	160	3	symmetry	symmetry	NOUN
ejpam-6994	160	4	-	-	PUNCT
ejpam-6994	160	5	preserving	preserve	VERB
ejpam-6994	160	6	properties	property	NOUN
ejpam-6994	160	7	the	the	DET
ejpam-6994	160	8	dlt	dlt	PROPN
ejpam-6994	160	9	-	-	PUNCT
ejpam-6994	160	10	order	order	NOUN
ejpam-6994	160	11	is	be	AUX
ejpam-6994	160	12	characterized	characterize	VERB
ejpam-6994	160	13	by	by	ADP
ejpam-6994	160	14	several	several	ADJ
ejpam-6994	160	15	invariant	invariant	ADJ
ejpam-6994	160	16	forms	form	NOUN
ejpam-6994	160	17	of	of	ADP
ejpam-6994	160	18	probabilistic	probabilistic	ADJ
ejpam-6994	160	19	symmetry	symmetry	NOUN
ejpam-6994	160	20	,	,	PUNCT
ejpam-6994	160	21	which	which	PRON
ejpam-6994	160	22	are	be	AUX
ejpam-6994	160	23	important	important	ADJ
ejpam-6994	160	24	for	for	ADP
ejpam-6994	160	25	consistent	consistent	ADJ
ejpam-6994	160	26	behavior	behavior	NOUN
ejpam-6994	160	27	in	in	ADP
ejpam-6994	160	28	structured	structured	ADJ
ejpam-6994	160	29	systems	system	NOUN
ejpam-6994	160	30	.	.	PUNCT
ejpam-6994	161	1	for	for	ADP
ejpam-6994	161	2	example	example	NOUN
ejpam-6994	161	3	,	,	PUNCT
ejpam-6994	161	4	if	if	SCONJ
ejpam-6994	161	5	two	two	NUM
ejpam-6994	161	6	remaining	remain	VERB
ejpam-6994	161	7	life	life	NOUN
ejpam-6994	161	8	distributions	distribution	NOUN
ejpam-6994	161	9	have	have	VERB
ejpam-6994	161	10	symmetrical	symmetrical	ADJ
ejpam-6994	161	11	tail	tail	NOUN
ejpam-6994	161	12	behavior	behavior	NOUN
ejpam-6994	161	13	,	,	PUNCT
ejpam-6994	161	14	the	the	DET
ejpam-6994	161	15	dlt	dlt	PROPN
ejpam-6994	161	16	values	value	NOUN
ejpam-6994	161	17	will	will	AUX
ejpam-6994	161	18	also	also	ADV
ejpam-6994	161	19	exhibit	exhibit	VERB
ejpam-6994	161	20	the	the	DET
ejpam-6994	161	21	same	same	ADJ
ejpam-6994	161	22	symmetry	symmetry	NOUN
ejpam-6994	161	23	due	due	ADP
ejpam-6994	161	24	to	to	ADP
ejpam-6994	161	25	the	the	DET
ejpam-6994	161	26	presence	presence	NOUN
ejpam-6994	161	27	of	of	ADP
ejpam-6994	161	28	the	the	DET
ejpam-6994	161	29	exponential	exponential	ADJ
ejpam-6994	161	30	weighting	weighting	NOUN
ejpam-6994	161	31	kernel	kernel	NOUN
ejpam-6994	161	32	.	.	PUNCT
ejpam-6994	162	1	moreover	moreover	ADV
ejpam-6994	162	2	,	,	PUNCT
ejpam-6994	162	3	the	the	DET
ejpam-6994	162	4	dlt	dlt	PROPN
ejpam-6994	162	5	-	-	PUNCT
ejpam-6994	162	6	order	order	NOUN
ejpam-6994	162	7	is	be	AUX
ejpam-6994	162	8	preserved	preserve	VERB
ejpam-6994	162	9	under	under	ADP
ejpam-6994	162	10	affine	affine	NOUN
ejpam-6994	162	11	transformations	transformation	NOUN
ejpam-6994	162	12	of	of	ADP
ejpam-6994	162	13	the	the	DET
ejpam-6994	162	14	support	support	NOUN
ejpam-6994	162	15	(	(	PUNCT
ejpam-6994	162	16	e.g.	e.g.	ADV
ejpam-6994	162	17	,	,	PUNCT
ejpam-6994	162	18	time	time	NOUN
ejpam-6994	162	19	rescaling	rescaling	NOUN
ejpam-6994	162	20	)	)	PUNCT
ejpam-6994	162	21	and	and	CCONJ
ejpam-6994	162	22	is	be	AUX
ejpam-6994	162	23	closed	close	VERB
ejpam-6994	162	24	under	under	ADP
ejpam-6994	162	25	convolution	convolution	NOUN
ejpam-6994	162	26	and	and	CCONJ
ejpam-6994	162	27	finite	finite	ADJ
ejpam-6994	162	28	mixtures	mixture	NOUN
ejpam-6994	162	29	.	.	PUNCT
ejpam-6994	163	1	these	these	DET
ejpam-6994	163	2	properties	property	NOUN
ejpam-6994	163	3	form	form	VERB
ejpam-6994	163	4	the	the	DET
ejpam-6994	163	5	basis	basis	NOUN
ejpam-6994	163	6	of	of	ADP
ejpam-6994	163	7	reliability	reliability	NOUN
ejpam-6994	163	8	symmetry	symmetry	NOUN
ejpam-6994	163	9	theory	theory	NOUN
ejpam-6994	163	10	,	,	PUNCT
ejpam-6994	163	11	guaranteeing	guarantee	VERB
ejpam-6994	163	12	that	that	SCONJ
ejpam-6994	163	13	systems	system	NOUN
ejpam-6994	163	14	with	with	ADP
ejpam-6994	163	15	modular	modular	ADJ
ejpam-6994	163	16	or	or	CCONJ
ejpam-6994	163	17	hierarchical	hierarchical	ADJ
ejpam-6994	163	18	structures	structure	NOUN
ejpam-6994	163	19	can	can	AUX
ejpam-6994	163	20	be	be	AUX
ejpam-6994	163	21	uniformly	uniformly	ADV
ejpam-6994	163	22	ranked	rank	VERB
ejpam-6994	163	23	without	without	ADP
ejpam-6994	163	24	losing	lose	VERB
ejpam-6994	163	25	internal	internal	ADJ
ejpam-6994	163	26	distributional	distributional	ADJ
ejpam-6994	163	27	coherence	coherence	NOUN
ejpam-6994	163	28	[	[	X
ejpam-6994	163	29	44	44	NUM
ejpam-6994	163	30	]	]	PUNCT
ejpam-6994	163	31	.	.	PUNCT
ejpam-6994	164	1	a.	a.	NOUN
ejpam-6994	164	2	a.	a.	PROPN
ejpam-6994	164	3	shokeralla	shokeralla	PROPN
ejpam-6994	164	4	/	/	SYM
ejpam-6994	164	5	eur	eur	PROPN
ejpam-6994	164	6	.	.	PUNCT
ejpam-6994	165	1	j.	j.	PROPN
ejpam-6994	165	2	pure	pure	PROPN
ejpam-6994	165	3	appl	appl	PROPN
ejpam-6994	165	4	.	.	PROPN
ejpam-6994	165	5	math	math	PROPN
ejpam-6994	165	6	,	,	PUNCT
ejpam-6994	165	7	18	18	NUM
ejpam-6994	165	8	(	(	PUNCT
ejpam-6994	165	9	4	4	NUM
ejpam-6994	165	10	)	)	PUNCT
ejpam-6994	165	11	(	(	PUNCT
ejpam-6994	165	12	2025	2025	NUM
ejpam-6994	165	13	)	)	PUNCT
ejpam-6994	165	14	,	,	PUNCT
ejpam-6994	165	15	6994	6994	NUM
ejpam-6994	165	16	10	10	NUM
ejpam-6994	165	17	of	of	ADP
ejpam-6994	165	18	22	22	NUM
ejpam-6994	165	19	4.4	4.4	NUM
ejpam-6994	165	20	.	.	PUNCT
ejpam-6994	166	1	comparison	comparison	NOUN
ejpam-6994	166	2	with	with	ADP
ejpam-6994	166	3	classical	classical	ADJ
ejpam-6994	166	4	orders	order	NOUN
ejpam-6994	166	5	under	under	ADP
ejpam-6994	166	6	mild	mild	ADJ
ejpam-6994	166	7	regularity	regularity	NOUN
ejpam-6994	166	8	conditions	condition	NOUN
ejpam-6994	166	9	,	,	PUNCT
ejpam-6994	166	10	the	the	DET
ejpam-6994	166	11	dlt	dlt	PROPN
ejpam-6994	166	12	-	-	PUNCT
ejpam-6994	166	13	order	order	NOUN
ejpam-6994	166	14	entails	entail	VERB
ejpam-6994	166	15	the	the	DET
ejpam-6994	166	16	usual	usual	ADJ
ejpam-6994	166	17	stochastic	stochastic	ADJ
ejpam-6994	166	18	order	order	NOUN
ejpam-6994	166	19	:	:	PUNCT
ejpam-6994	166	20	y	y	NOUN
ejpam-6994	166	21	⪰st	⪰st	NOUN
ejpam-6994	166	22	x	x	PUNCT
ejpam-6994	166	23	=	=	VERB
ejpam-6994	166	24	⇒	⇒	X
ejpam-6994	166	25	y	y	PROPN
ejpam-6994	166	26	⪰dlt	⪰dlt	NOUN
ejpam-6994	166	27	x	x	SYM
ejpam-6994	166	28	(	(	PUNCT
ejpam-6994	166	29	21	21	NUM
ejpam-6994	166	30	)	)	PUNCT
ejpam-6994	166	31	however	however	ADV
ejpam-6994	166	32	,	,	PUNCT
ejpam-6994	166	33	the	the	DET
ejpam-6994	166	34	dlt	dlt	PROPN
ejpam-6994	166	35	-	-	PUNCT
ejpam-6994	166	36	order	order	NOUN
ejpam-6994	166	37	has	have	VERB
ejpam-6994	166	38	the	the	DET
ejpam-6994	166	39	power	power	NOUN
ejpam-6994	166	40	to	to	PART
ejpam-6994	166	41	detect	detect	VERB
ejpam-6994	166	42	more	more	ADV
ejpam-6994	166	43	subtle	subtle	ADJ
ejpam-6994	166	44	differences	difference	NOUN
ejpam-6994	166	45	not	not	PART
ejpam-6994	166	46	captured	capture	VERB
ejpam-6994	166	47	by	by	ADP
ejpam-6994	166	48	the	the	DET
ejpam-6994	166	49	hazard	hazard	NOUN
ejpam-6994	166	50	rate	rate	NOUN
ejpam-6994	166	51	or	or	CCONJ
ejpam-6994	166	52	likelihood	likelihood	NOUN
ejpam-6994	166	53	ratio	ratio	NOUN
ejpam-6994	166	54	orders	order	NOUN
ejpam-6994	166	55	,	,	PUNCT
ejpam-6994	166	56	particularly	particularly	ADV
ejpam-6994	166	57	in	in	ADP
ejpam-6994	166	58	the	the	DET
ejpam-6994	166	59	presence	presence	NOUN
ejpam-6994	166	60	of	of	ADP
ejpam-6994	166	61	crossing	cross	VERB
ejpam-6994	166	62	survival	survival	NOUN
ejpam-6994	166	63	functions	function	NOUN
ejpam-6994	166	64	or	or	CCONJ
ejpam-6994	166	65	unusual	unusual	ADJ
ejpam-6994	166	66	distributional	distributional	ADJ
ejpam-6994	166	67	shapes	shape	NOUN
ejpam-6994	166	68	.	.	PUNCT
ejpam-6994	167	1	this	this	PRON
ejpam-6994	167	2	makes	make	VERB
ejpam-6994	167	3	the	the	DET
ejpam-6994	167	4	dlt	dlt	PROPN
ejpam-6994	167	5	-	-	PUNCT
ejpam-6994	167	6	order	order	VERB
ejpam-6994	167	7	a	a	DET
ejpam-6994	167	8	useful	useful	ADJ
ejpam-6994	167	9	tool	tool	NOUN
ejpam-6994	167	10	for	for	ADP
ejpam-6994	167	11	comparing	compare	VERB
ejpam-6994	167	12	discrete	discrete	ADJ
ejpam-6994	167	13	systems	system	NOUN
ejpam-6994	167	14	where	where	SCONJ
ejpam-6994	167	15	standard	standard	ADJ
ejpam-6994	167	16	stochastic	stochastic	ADJ
ejpam-6994	167	17	comparisons	comparison	NOUN
ejpam-6994	167	18	have	have	VERB
ejpam-6994	167	19	insufficient	insufficient	ADJ
ejpam-6994	167	20	resolution	resolution	NOUN
ejpam-6994	167	21	[	[	X
ejpam-6994	167	22	14	14	NUM
ejpam-6994	167	23	,	,	PUNCT
ejpam-6994	167	24	38	38	NUM
ejpam-6994	167	25	]	]	PUNCT
ejpam-6994	167	26	.	.	PUNCT
ejpam-6994	168	1	figure	figure	NOUN
ejpam-6994	168	2	2	2	NUM
ejpam-6994	168	3	:	:	PUNCT
ejpam-6994	168	4	an	an	DET
ejpam-6994	168	5	illustrative	illustrative	ADJ
ejpam-6994	168	6	example	example	NOUN
ejpam-6994	168	7	of	of	ADP
ejpam-6994	168	8	crossing	cross	VERB
ejpam-6994	168	9	survival	survival	NOUN
ejpam-6994	168	10	functions	function	NOUN
ejpam-6994	168	11	.	.	PUNCT
ejpam-6994	169	1	here	here	ADV
ejpam-6994	169	2	is	be	AUX
ejpam-6994	169	3	a	a	DET
ejpam-6994	169	4	graphical	graphical	ADJ
ejpam-6994	169	5	demonstration	demonstration	NOUN
ejpam-6994	169	6	of	of	ADP
ejpam-6994	169	7	the	the	DET
ejpam-6994	169	8	phenomenon	phenomenon	NOUN
ejpam-6994	169	9	.	.	PUNCT
ejpam-6994	170	1	the	the	DET
ejpam-6994	170	2	curve	curve	NOUN
ejpam-6994	170	3	in	in	ADP
ejpam-6994	170	4	figure	figure	NOUN
ejpam-6994	170	5	2	2	NUM
ejpam-6994	170	6	represents	represent	VERB
ejpam-6994	170	7	two	two	NUM
ejpam-6994	170	8	survival	survival	NOUN
ejpam-6994	170	9	functions	function	NOUN
ejpam-6994	170	10	that	that	PRON
ejpam-6994	170	11	cross	cross	VERB
ejpam-6994	170	12	over	over	ADP
ejpam-6994	170	13	time	time	NOUN
ejpam-6994	170	14	:	:	PUNCT
ejpam-6994	170	15	one	one	NUM
ejpam-6994	170	16	corresponding	correspond	VERB
ejpam-6994	170	17	to	to	ADP
ejpam-6994	170	18	the	the	DET
ejpam-6994	170	19	system	system	NOUN
ejpam-6994	170	20	with	with	ADP
ejpam-6994	170	21	greater	great	ADJ
ejpam-6994	170	22	initial	initial	ADJ
ejpam-6994	170	23	reliability	reliability	NOUN
ejpam-6994	170	24	(	(	PUNCT
ejpam-6994	170	25	distribution	distribution	NOUN
ejpam-6994	170	26	b	b	NOUN
ejpam-6994	170	27	)	)	PUNCT
ejpam-6994	170	28	,	,	PUNCT
ejpam-6994	170	29	and	and	CCONJ
ejpam-6994	170	30	the	the	DET
ejpam-6994	170	31	other	other	ADJ
ejpam-6994	170	32	that	that	PRON
ejpam-6994	170	33	surpasses	surpass	VERB
ejpam-6994	170	34	it	it	PRON
ejpam-6994	170	35	for	for	ADP
ejpam-6994	170	36	long	long	ADJ
ejpam-6994	170	37	-	-	PUNCT
ejpam-6994	170	38	term	term	NOUN
ejpam-6994	170	39	survival	survival	NOUN
ejpam-6994	170	40	(	(	PUNCT
ejpam-6994	170	41	distribution	distribution	NOUN
ejpam-6994	170	42	a	a	NOUN
ejpam-6994	170	43	)	)	PUNCT
ejpam-6994	170	44	.	.	PUNCT
ejpam-6994	171	1	this	this	DET
ejpam-6994	171	2	crossover	crossover	NOUN
ejpam-6994	171	3	illustrates	illustrate	VERB
ejpam-6994	171	4	why	why	SCONJ
ejpam-6994	171	5	traditional	traditional	ADJ
ejpam-6994	171	6	stochastic	stochastic	ADJ
ejpam-6994	171	7	orders	order	NOUN
ejpam-6994	171	8	,	,	PUNCT
ejpam-6994	171	9	such	such	ADJ
ejpam-6994	171	10	as	as	ADP
ejpam-6994	171	11	the	the	DET
ejpam-6994	171	12	hazard	hazard	NOUN
ejpam-6994	171	13	rate	rate	NOUN
ejpam-6994	171	14	order	order	NOUN
ejpam-6994	171	15	,	,	PUNCT
ejpam-6994	171	16	may	may	AUX
ejpam-6994	171	17	fail	fail	VERB
ejpam-6994	171	18	or	or	CCONJ
ejpam-6994	171	19	produce	produce	VERB
ejpam-6994	171	20	counterintuitive	counterintuitive	ADJ
ejpam-6994	171	21	results	result	NOUN
ejpam-6994	171	22	.	.	PUNCT
ejpam-6994	172	1	4.5	4.5	NUM
ejpam-6994	172	2	.	.	PUNCT
ejpam-6994	173	1	visual	visual	ADJ
ejpam-6994	173	2	comparison	comparison	NOUN
ejpam-6994	173	3	of	of	ADP
ejpam-6994	173	4	dlt	dlt	PROPN
ejpam-6994	173	5	and	and	CCONJ
ejpam-6994	173	6	classical	classical	ADJ
ejpam-6994	173	7	orders	order	NOUN
ejpam-6994	173	8	to	to	PART
ejpam-6994	173	9	better	well	ADV
ejpam-6994	173	10	show	show	VERB
ejpam-6994	173	11	the	the	DET
ejpam-6994	173	12	advantage	advantage	NOUN
ejpam-6994	173	13	of	of	ADP
ejpam-6994	173	14	the	the	DET
ejpam-6994	173	15	dlt	dlt	PROPN
ejpam-6994	173	16	-	-	PUNCT
ejpam-6994	173	17	order	order	NOUN
ejpam-6994	173	18	over	over	ADP
ejpam-6994	173	19	traditional	traditional	ADJ
ejpam-6994	173	20	stochastic	stochastic	ADJ
ejpam-6994	173	21	orders	order	NOUN
ejpam-6994	173	22	,	,	PUNCT
ejpam-6994	173	23	we	we	PRON
ejpam-6994	173	24	compare	compare	VERB
ejpam-6994	173	25	two	two	NUM
ejpam-6994	173	26	geometric	geometric	ADJ
ejpam-6994	173	27	distributions	distribution	NOUN
ejpam-6994	173	28	whose	whose	DET
ejpam-6994	173	29	survival	survival	NOUN
ejpam-6994	173	30	functions	function	NOUN
ejpam-6994	173	31	cross	cross	VERB
ejpam-6994	173	32	at	at	ADP
ejpam-6994	173	33	one	one	NUM
ejpam-6994	173	34	or	or	CCONJ
ejpam-6994	173	35	more	more	ADJ
ejpam-6994	173	36	points	point	NOUN
ejpam-6994	173	37	.	.	PUNCT
ejpam-6994	174	1	the	the	DET
ejpam-6994	174	2	hazard	hazard	NOUN
ejpam-6994	174	3	rate	rate	NOUN
ejpam-6994	174	4	order	order	NOUN
ejpam-6994	174	5	yields	yield	VERB
ejpam-6994	174	6	conflicting	conflict	VERB
ejpam-6994	174	7	or	or	CCONJ
ejpam-6994	174	8	reversed	reversed	ADJ
ejpam-6994	174	9	rankings	ranking	NOUN
ejpam-6994	174	10	as	as	ADP
ejpam-6994	174	11	a	a	DET
ejpam-6994	174	12	consequence	consequence	NOUN
ejpam-6994	174	13	of	of	ADP
ejpam-6994	174	14	local	local	ADJ
ejpam-6994	174	15	behavior	behavior	NOUN
ejpam-6994	174	16	.	.	PUNCT
ejpam-6994	175	1	the	the	DET
ejpam-6994	175	2	dlt	dlt	PROPN
ejpam-6994	175	3	-	-	PUNCT
ejpam-6994	175	4	order	order	NOUN
ejpam-6994	175	5	,	,	PUNCT
ejpam-6994	175	6	which	which	PRON
ejpam-6994	175	7	assigns	assign	VERB
ejpam-6994	175	8	weights	weight	NOUN
ejpam-6994	175	9	to	to	ADP
ejpam-6994	175	10	the	the	DET
ejpam-6994	175	11	entire	entire	ADJ
ejpam-6994	175	12	tail	tail	NOUN
ejpam-6994	175	13	exponent	exponent	NOUN
ejpam-6994	175	14	,	,	PUNCT
ejpam-6994	175	15	however	however	ADV
ejpam-6994	175	16	,	,	PUNCT
ejpam-6994	175	17	yields	yield	VERB
ejpam-6994	175	18	a	a	DET
ejpam-6994	175	19	consistent	consistent	ADJ
ejpam-6994	175	20	and	and	CCONJ
ejpam-6994	175	21	interpretable	interpretable	ADJ
ejpam-6994	175	22	ranking	rank	VERB
ejpam-6994	175	23	4.6	4.6	NUM
ejpam-6994	175	24	.	.	PUNCT
ejpam-6994	176	1	sensitivity	sensitivity	NOUN
ejpam-6994	176	2	analysis	analysis	NOUN
ejpam-6994	176	3	with	with	ADP
ejpam-6994	176	4	respect	respect	NOUN
ejpam-6994	176	5	to	to	ADP
ejpam-6994	176	6	the	the	DET
ejpam-6994	176	7	discount	discount	NOUN
ejpam-6994	176	8	parameter	parameter	NOUN
ejpam-6994	176	9	s	s	PART
ejpam-6994	176	10	the	the	DET
ejpam-6994	176	11	dlt	dlt	PROPN
ejpam-6994	176	12	-	-	PUNCT
ejpam-6994	176	13	order	order	NOUN
ejpam-6994	176	14	depends	depend	VERB
ejpam-6994	176	15	critically	critically	ADV
ejpam-6994	176	16	on	on	ADP
ejpam-6994	176	17	the	the	DET
ejpam-6994	176	18	choice	choice	NOUN
ejpam-6994	176	19	of	of	ADP
ejpam-6994	176	20	the	the	DET
ejpam-6994	176	21	discount	discount	NOUN
ejpam-6994	176	22	rate	rate	NOUN
ejpam-6994	176	23	s	s	PART
ejpam-6994	176	24	>	>	X
ejpam-6994	176	25	0	0	NUM
ejpam-6994	176	26	.	.	PUNCT
ejpam-6994	177	1	its	its	PRON
ejpam-6994	177	2	asymptotic	asymptotic	ADJ
ejpam-6994	177	3	behavior	behavior	NOUN
ejpam-6994	177	4	reveals	reveal	VERB
ejpam-6994	177	5	important	important	ADJ
ejpam-6994	177	6	connections	connection	NOUN
ejpam-6994	177	7	to	to	ADP
ejpam-6994	177	8	classical	classical	ADJ
ejpam-6994	177	9	metrics	metric	NOUN
ejpam-6994	177	10	.	.	PUNCT
ejpam-6994	178	1	a.	a.	NOUN
ejpam-6994	178	2	a.	a.	PROPN
ejpam-6994	178	3	shokeralla	shokeralla	PROPN
ejpam-6994	178	4	/	/	SYM
ejpam-6994	178	5	eur	eur	PROPN
ejpam-6994	178	6	.	.	PUNCT
ejpam-6994	179	1	j.	j.	PROPN
ejpam-6994	179	2	pure	pure	PROPN
ejpam-6994	179	3	appl	appl	PROPN
ejpam-6994	179	4	.	.	PROPN
ejpam-6994	179	5	math	math	PROPN
ejpam-6994	179	6	,	,	PUNCT
ejpam-6994	179	7	18	18	NUM
ejpam-6994	179	8	(	(	PUNCT
ejpam-6994	179	9	4	4	NUM
ejpam-6994	179	10	)	)	PUNCT
ejpam-6994	179	11	(	(	PUNCT
ejpam-6994	179	12	2025	2025	NUM
ejpam-6994	179	13	)	)	PUNCT
ejpam-6994	179	14	,	,	PUNCT
ejpam-6994	179	15	6994	6994	NUM
ejpam-6994	179	16	11	11	NUM
ejpam-6994	179	17	of	of	ADP
ejpam-6994	179	18	22	22	NUM
ejpam-6994	179	19	figure	figure	NOUN
ejpam-6994	179	20	3	3	NUM
ejpam-6994	179	21	:	:	PUNCT
ejpam-6994	179	22	dlt	dlt	PROPN
ejpam-6994	179	23	-	-	PUNCT
ejpam-6994	179	24	order	order	NOUN
ejpam-6994	179	25	,	,	PUNCT
ejpam-6994	179	26	hazard	hazard	NOUN
ejpam-6994	179	27	rate	rate	NOUN
ejpam-6994	179	28	order	order	NOUN
ejpam-6994	179	29	,	,	PUNCT
ejpam-6994	179	30	and	and	CCONJ
ejpam-6994	179	31	survival	survival	NOUN
ejpam-6994	179	32	functions	function	NOUN
ejpam-6994	179	33	for	for	ADP
ejpam-6994	179	34	crossing	crossing	NOUN
ejpam-6994	179	35	distributions	distribution	NOUN
ejpam-6994	179	36	.	.	PUNCT
ejpam-6994	180	1	as	as	ADP
ejpam-6994	180	2	s	s	PROPN
ejpam-6994	180	3	→	→	SYM
ejpam-6994	180	4	0	0	NUM
ejpam-6994	180	5	+	+	PROPN
ejpam-6994	180	6	,	,	PUNCT
ejpam-6994	180	7	the	the	DET
ejpam-6994	180	8	dlt	dlt	PROPN
ejpam-6994	180	9	converges	converge	VERB
ejpam-6994	180	10	to	to	ADP
ejpam-6994	180	11	the	the	DET
ejpam-6994	180	12	mean	mean	ADJ
ejpam-6994	180	13	residual	residual	ADJ
ejpam-6994	180	14	life	life	NOUN
ejpam-6994	180	15	:	:	PUNCT
ejpam-6994	180	16	lim	lim	PROPN
ejpam-6994	180	17	s→0	s→0	PROPN
ejpam-6994	180	18	+	+	X
ejpam-6994	180	19	ld{rx}(s	ld{rx}(s	X
ejpam-6994	180	20	)	)	PUNCT
ejpam-6994	180	21	=	=	NOUN
ejpam-6994	181	1	∞∑	∞∑	NUM
ejpam-6994	181	2	k=0	k=0	PUNCT
ejpam-6994	181	3	p	p	X
ejpam-6994	181	4	(	(	PUNCT
ejpam-6994	181	5	x	x	SYM
ejpam-6994	181	6	>	>	X
ejpam-6994	181	7	k	k	PROPN
ejpam-6994	181	8	)	)	PUNCT
ejpam-6994	181	9	=	=	SYM
ejpam-6994	181	10	e[x	e[x	NOUN
ejpam-6994	181	11	]	]	X
ejpam-6994	181	12	(	(	PUNCT
ejpam-6994	181	13	22	22	NUM
ejpam-6994	181	14	)	)	PUNCT
ejpam-6994	181	15	as	as	ADP
ejpam-6994	181	16	s	s	PROPN
ejpam-6994	181	17	→	→	SYM
ejpam-6994	181	18	∞	∞	PROPN
ejpam-6994	181	19	,	,	PUNCT
ejpam-6994	181	20	the	the	DET
ejpam-6994	181	21	dlt	dlt	PROPN
ejpam-6994	181	22	is	be	AUX
ejpam-6994	181	23	dominated	dominate	VERB
ejpam-6994	181	24	by	by	ADP
ejpam-6994	181	25	the	the	DET
ejpam-6994	181	26	first	first	ADJ
ejpam-6994	181	27	term	term	NOUN
ejpam-6994	181	28	:	:	PUNCT
ejpam-6994	181	29	ld{rx}(s	ld{rx}(s	X
ejpam-6994	181	30	)	)	PUNCT
ejpam-6994	182	1	≈	≈	PROPN
ejpam-6994	182	2	rx(0	rx(0	PROPN
ejpam-6994	182	3	)	)	PUNCT
ejpam-6994	182	4	=	=	SYM
ejpam-6994	183	1	p	p	X
ejpam-6994	183	2	(	(	PUNCT
ejpam-6994	183	3	x	x	X
ejpam-6994	183	4	>	>	X
ejpam-6994	183	5	0	0	NUM
ejpam-6994	183	6	)	)	PUNCT
ejpam-6994	183	7	=	=	SYM
ejpam-6994	184	1	1−	1−	NUM
ejpam-6994	184	2	p	p	NOUN
ejpam-6994	184	3	(	(	PUNCT
ejpam-6994	184	4	x	x	SYM
ejpam-6994	184	5	=	=	SYM
ejpam-6994	184	6	0	0	NUM
ejpam-6994	184	7	)	)	PUNCT
ejpam-6994	184	8	(	(	PUNCT
ejpam-6994	184	9	23	23	NUM
ejpam-6994	184	10	)	)	PUNCT
ejpam-6994	184	11	thus	thus	ADV
ejpam-6994	184	12	,	,	PUNCT
ejpam-6994	184	13	rx(0	rx(0	PROPN
ejpam-6994	184	14	)	)	PUNCT
ejpam-6994	184	15	=	=	PUNCT
ejpam-6994	184	16	1	1	NUM
ejpam-6994	184	17	only	only	ADV
ejpam-6994	184	18	if	if	SCONJ
ejpam-6994	184	19	p	p	X
ejpam-6994	184	20	(	(	PUNCT
ejpam-6994	184	21	x	x	SYM
ejpam-6994	184	22	=	=	SYM
ejpam-6994	184	23	0	0	NUM
ejpam-6994	184	24	)	)	PUNCT
ejpam-6994	184	25	=	=	NOUN
ejpam-6994	185	1	0	0	X
ejpam-6994	185	2	.	.	PUNCT
ejpam-6994	186	1	in	in	ADP
ejpam-6994	186	2	practice	practice	NOUN
ejpam-6994	186	3	,	,	PUNCT
ejpam-6994	186	4	intermediate	intermediate	ADJ
ejpam-6994	186	5	values	value	NOUN
ejpam-6994	186	6	of	of	ADP
ejpam-6994	186	7	s	s	PRON
ejpam-6994	186	8	(	(	PUNCT
ejpam-6994	186	9	e.g.	e.g.	ADV
ejpam-6994	186	10	,	,	PUNCT
ejpam-6994	186	11	s	s	VERB
ejpam-6994	186	12	∈	∈	PROPN
ejpam-6994	187	1	[	[	X
ejpam-6994	187	2	0.1	0.1	NUM
ejpam-6994	187	3	,	,	PUNCT
ejpam-6994	187	4	2	2	NUM
ejpam-6994	187	5	]	]	PUNCT
ejpam-6994	187	6	)	)	PUNCT
ejpam-6994	187	7	provide	provide	VERB
ejpam-6994	187	8	the	the	DET
ejpam-6994	187	9	best	good	ADJ
ejpam-6994	187	10	balance	balance	NOUN
ejpam-6994	187	11	between	between	ADP
ejpam-6994	187	12	short	short	ADJ
ejpam-6994	187	13	-	-	PUNCT
ejpam-6994	187	14	term	term	NOUN
ejpam-6994	187	15	and	and	CCONJ
ejpam-6994	187	16	tail	tail	NOUN
ejpam-6994	187	17	sensitivity	sensitivity	NOUN
ejpam-6994	187	18	.	.	PUNCT
ejpam-6994	188	1	5	5	X
ejpam-6994	188	2	.	.	X
ejpam-6994	188	3	empirical	empirical	ADJ
ejpam-6994	188	4	study	study	NOUN
ejpam-6994	188	5	:	:	PUNCT
ejpam-6994	188	6	call	call	NOUN
ejpam-6994	188	7	center	center	NOUN
ejpam-6994	188	8	enactment	enactment	NOUN
ejpam-6994	188	9	to	to	PART
ejpam-6994	188	10	show	show	VERB
ejpam-6994	188	11	the	the	DET
ejpam-6994	188	12	practical	practical	ADJ
ejpam-6994	188	13	applicability	applicability	NOUN
ejpam-6994	188	14	of	of	ADP
ejpam-6994	188	15	the	the	DET
ejpam-6994	188	16	dlt	dlt	PROPN
ejpam-6994	188	17	order	order	NOUN
ejpam-6994	188	18	,	,	PUNCT
ejpam-6994	188	19	we	we	PRON
ejpam-6994	188	20	consider	consider	VERB
ejpam-6994	188	21	a	a	DET
ejpam-6994	188	22	real	real	ADJ
ejpam-6994	188	23	-	-	PUNCT
ejpam-6994	188	24	world	world	NOUN
ejpam-6994	188	25	call	call	NOUN
ejpam-6994	188	26	center	center	NOUN
ejpam-6994	188	27	dataset	dataset	NOUN
ejpam-6994	188	28	of	of	ADP
ejpam-6994	188	29	customer	customer	NOUN
ejpam-6994	188	30	interactions	interaction	NOUN
ejpam-6994	188	31	,	,	PUNCT
ejpam-6994	188	32	including	include	VERB
ejpam-6994	188	33	wait	wait	PROPN
ejpam-6994	188	34	times	time	NOUN
ejpam-6994	188	35	,	,	PUNCT
ejpam-6994	188	36	call	call	VERB
ejpam-6994	188	37	topics	topic	NOUN
ejpam-6994	188	38	,	,	PUNCT
ejpam-6994	188	39	satisfaction	satisfaction	NOUN
ejpam-6994	188	40	ratings	rating	NOUN
ejpam-6994	188	41	,	,	PUNCT
ejpam-6994	188	42	and	and	CCONJ
ejpam-6994	188	43	time	time	NOUN
ejpam-6994	188	44	of	of	ADP
ejpam-6994	188	45	the	the	DET
ejpam-6994	188	46	event	event	NOUN
ejpam-6994	188	47	.	.	PUNCT
ejpam-6994	189	1	the	the	DET
ejpam-6994	189	2	goal	goal	NOUN
ejpam-6994	189	3	is	be	AUX
ejpam-6994	189	4	to	to	PART
ejpam-6994	189	5	analyze	analyze	VERB
ejpam-6994	189	6	whether	whether	SCONJ
ejpam-6994	189	7	dlt	dlt	PROPN
ejpam-6994	189	8	can	can	AUX
ejpam-6994	189	9	discover	discover	VERB
ejpam-6994	189	10	insights	insight	NOUN
ejpam-6994	189	11	about	about	ADP
ejpam-6994	189	12	operations	operation	NOUN
ejpam-6994	189	13	,	,	PUNCT
ejpam-6994	189	14	and	and	CCONJ
ejpam-6994	189	15	in	in	ADP
ejpam-6994	189	16	particular	particular	ADJ
ejpam-6994	189	17	about	about	ADP
ejpam-6994	189	18	stochastic	stochastic	ADJ
ejpam-6994	189	19	comparisons	comparison	NOUN
ejpam-6994	189	20	,	,	PUNCT
ejpam-6994	189	21	beyond	beyond	ADP
ejpam-6994	189	22	those	those	PRON
ejpam-6994	189	23	available	available	ADJ
ejpam-6994	189	24	from	from	ADP
ejpam-6994	189	25	traditional	traditional	ADJ
ejpam-6994	189	26	statistics	statistic	NOUN
ejpam-6994	189	27	such	such	ADJ
ejpam-6994	189	28	as	as	ADP
ejpam-6994	189	29	averages	average	NOUN
ejpam-6994	189	30	or	or	CCONJ
ejpam-6994	189	31	proportions	proportion	NOUN
ejpam-6994	189	32	.	.	PUNCT
ejpam-6994	190	1	5.1	5.1	NUM
ejpam-6994	190	2	.	.	PUNCT
ejpam-6994	191	1	data	datum	NOUN
ejpam-6994	191	2	description	description	NOUN
ejpam-6994	191	3	and	and	CCONJ
ejpam-6994	191	4	pre	pre	ADJ
ejpam-6994	191	5	-	-	ADJ
ejpam-6994	191	6	processing	process	VERB
ejpam-6994	191	7	the	the	DET
ejpam-6994	191	8	dataset	dataset	NOUN
ejpam-6994	191	9	consists	consist	NOUN
ejpam-6994	191	10	of	of	ADP
ejpam-6994	191	11	300	300	NUM
ejpam-6994	191	12	inbound	inbound	ADJ
ejpam-6994	191	13	customer	customer	NOUN
ejpam-6994	191	14	service	service	NOUN
ejpam-6994	191	15	phone	phone	NOUN
ejpam-6994	191	16	call	call	NOUN
ejpam-6994	191	17	records	record	NOUN
ejpam-6994	191	18	.	.	PUNCT
ejpam-6994	192	1	each	each	DET
ejpam-6994	192	2	entry	entry	NOUN
ejpam-6994	192	3	contains	contain	VERB
ejpam-6994	192	4	the	the	DET
ejpam-6994	192	5	following	follow	VERB
ejpam-6994	192	6	information	information	NOUN
ejpam-6994	192	7	:	:	PUNCT
ejpam-6994	192	8	•	•	NUM
ejpam-6994	192	9	speed	speed	NOUN
ejpam-6994	192	10	of	of	ADP
ejpam-6994	192	11	answer	answer	NOUN
ejpam-6994	192	12	(	(	PUNCT
ejpam-6994	192	13	in	in	ADP
ejpam-6994	192	14	seconds	second	NOUN
ejpam-6994	192	15	)	)	PUNCT
ejpam-6994	192	16	•	•	NUM
ejpam-6994	192	17	subject	subject	NOUN
ejpam-6994	192	18	(	(	PUNCT
ejpam-6994	192	19	e.g.	e.g.	ADV
ejpam-6994	192	20	,	,	PUNCT
ejpam-6994	192	21	technical	technical	ADJ
ejpam-6994	192	22	support	support	NOUN
ejpam-6994	192	23	,	,	PUNCT
ejpam-6994	192	24	contract	contract	NOUN
ejpam-6994	192	25	question	question	NOUN
ejpam-6994	192	26	)	)	PUNCT
ejpam-6994	192	27	•	•	NUM
ejpam-6994	192	28	agent	agent	NOUN
ejpam-6994	193	1	i	i	PROPN
ejpam-6994	193	2	d	d	PROPN
ejpam-6994	193	3	•	•	NUM
ejpam-6994	193	4	timestamp	timestamp	PROPN
ejpam-6994	193	5	a.	a.	NOUN
ejpam-6994	193	6	a.	a.	NOUN
ejpam-6994	193	7	shokeralla	shokeralla	PROPN
ejpam-6994	193	8	/	/	SYM
ejpam-6994	193	9	eur	eur	PROPN
ejpam-6994	193	10	.	.	PUNCT
ejpam-6994	194	1	j.	j.	PROPN
ejpam-6994	194	2	pure	pure	PROPN
ejpam-6994	194	3	appl	appl	PROPN
ejpam-6994	194	4	.	.	PROPN
ejpam-6994	194	5	math	math	PROPN
ejpam-6994	194	6	,	,	PUNCT
ejpam-6994	194	7	18	18	NUM
ejpam-6994	194	8	(	(	PUNCT
ejpam-6994	194	9	4	4	NUM
ejpam-6994	194	10	)	)	PUNCT
ejpam-6994	194	11	(	(	PUNCT
ejpam-6994	194	12	2025	2025	NUM
ejpam-6994	194	13	)	)	PUNCT
ejpam-6994	194	14	,	,	PUNCT
ejpam-6994	194	15	6994	6994	NUM
ejpam-6994	194	16	12	12	NUM
ejpam-6994	194	17	of	of	ADP
ejpam-6994	194	18	22	22	NUM
ejpam-6994	194	19	•	•	NOUN
ejpam-6994	194	20	resolved	resolve	VERB
ejpam-6994	194	21	status	status	NOUN
ejpam-6994	194	22	•	•	NOUN
ejpam-6994	194	23	customer	customer	NOUN
ejpam-6994	194	24	satisfaction	satisfaction	NOUN
ejpam-6994	194	25	rating	rating	NOUN
ejpam-6994	194	26	first	first	ADV
ejpam-6994	194	27	,	,	PUNCT
ejpam-6994	194	28	the	the	DET
ejpam-6994	194	29	dataset	dataset	NOUN
ejpam-6994	194	30	was	be	AUX
ejpam-6994	194	31	cleaned	clean	VERB
ejpam-6994	194	32	by	by	ADP
ejpam-6994	194	33	removing	remove	VERB
ejpam-6994	194	34	missing	missing	ADJ
ejpam-6994	194	35	and	and	CCONJ
ejpam-6994	194	36	inconsistent	inconsistent	ADJ
ejpam-6994	194	37	entries	entry	NOUN
ejpam-6994	194	38	.	.	PUNCT
ejpam-6994	195	1	next	next	ADV
ejpam-6994	195	2	,	,	PUNCT
ejpam-6994	195	3	timestamps	timestamp	NOUN
ejpam-6994	195	4	were	be	AUX
ejpam-6994	195	5	discretized	discretize	VERB
ejpam-6994	195	6	to	to	PART
ejpam-6994	195	7	obtain	obtain	VERB
ejpam-6994	195	8	time	time	NOUN
ejpam-6994	195	9	-	-	PUNCT
ejpam-6994	195	10	of	of	ADP
ejpam-6994	195	11	-	-	PUNCT
ejpam-6994	195	12	day	day	NOUN
ejpam-6994	195	13	features	feature	NOUN
ejpam-6994	195	14	(	(	PUNCT
ejpam-6994	195	15	e.g.	e.g.	ADJ
ejpam-6994	195	16	,	,	PUNCT
ejpam-6994	195	17	hour	hour	NOUN
ejpam-6994	195	18	)	)	PUNCT
ejpam-6994	195	19	,	,	PUNCT
ejpam-6994	195	20	and	and	CCONJ
ejpam-6994	195	21	categorical	categorical	ADJ
ejpam-6994	195	22	features	feature	NOUN
ejpam-6994	195	23	such	such	ADJ
ejpam-6994	195	24	as	as	ADP
ejpam-6994	195	25	topic	topic	NOUN
ejpam-6994	195	26	and	and	CCONJ
ejpam-6994	195	27	vip	vip	NOUN
ejpam-6994	195	28	status	status	NOUN
ejpam-6994	195	29	were	be	AUX
ejpam-6994	195	30	encoded	encode	VERB
ejpam-6994	195	31	appropriately	appropriately	ADV
ejpam-6994	195	32	[	[	X
ejpam-6994	195	33	45	45	NUM
ejpam-6994	195	34	]	]	PUNCT
ejpam-6994	195	35	.	.	PUNCT
ejpam-6994	196	1	the	the	DET
ejpam-6994	196	2	dataset	dataset	NOUN
ejpam-6994	196	3	is	be	AUX
ejpam-6994	196	4	divided	divide	VERB
ejpam-6994	196	5	into	into	ADP
ejpam-6994	196	6	two	two	NUM
ejpam-6994	196	7	major	major	ADJ
ejpam-6994	196	8	categories	category	NOUN
ejpam-6994	196	9	:	:	PUNCT
ejpam-6994	196	10	technical	technical	ADJ
ejpam-6994	196	11	support	support	NOUN
ejpam-6994	196	12	(	(	PUNCT
ejpam-6994	196	13	n	n	NOUN
ejpam-6994	196	14	=	=	SYM
ejpam-6994	196	15	180	180	NUM
ejpam-6994	196	16	)	)	PUNCT
ejpam-6994	196	17	and	and	CCONJ
ejpam-6994	196	18	contract	contract	NOUN
ejpam-6994	196	19	-	-	PUNCT
ejpam-6994	196	20	related	relate	VERB
ejpam-6994	196	21	inquiries	inquiry	NOUN
ejpam-6994	196	22	(	(	PUNCT
ejpam-6994	196	23	n	n	NOUN
ejpam-6994	196	24	=	=	SYM
ejpam-6994	196	25	120	120	NUM
ejpam-6994	196	26	)	)	PUNCT
ejpam-6994	196	27	.	.	PUNCT
ejpam-6994	197	1	to	to	PART
ejpam-6994	197	2	assess	assess	VERB
ejpam-6994	197	3	the	the	DET
ejpam-6994	197	4	reliability	reliability	NOUN
ejpam-6994	197	5	of	of	ADP
ejpam-6994	197	6	the	the	DET
ejpam-6994	197	7	dlt	dlt	PROPN
ejpam-6994	197	8	estimates	estimate	NOUN
ejpam-6994	197	9	,	,	PUNCT
ejpam-6994	197	10	1000	1000	NUM
ejpam-6994	197	11	bootstrap	bootstrap	NOUN
ejpam-6994	197	12	samples	sample	NOUN
ejpam-6994	197	13	were	be	AUX
ejpam-6994	197	14	generated	generate	VERB
ejpam-6994	197	15	for	for	SCONJ
ejpam-6994	197	16	each	each	DET
ejpam-6994	197	17	class	class	NOUN
ejpam-6994	197	18	to	to	PART
ejpam-6994	197	19	compute	compute	VERB
ejpam-6994	197	20	95	95	NUM
ejpam-6994	197	21	%	%	NOUN
ejpam-6994	197	22	confidence	confidence	NOUN
ejpam-6994	197	23	intervals	interval	NOUN
ejpam-6994	197	24	for	for	ADP
ejpam-6994	197	25	the	the	DET
ejpam-6994	197	26	mean	mean	ADJ
ejpam-6994	197	27	dlt	dlt	PROPN
ejpam-6994	197	28	values	value	NOUN
ejpam-6994	197	29	.	.	PUNCT
ejpam-6994	198	1	5.2	5.2	NUM
ejpam-6994	198	2	.	.	PUNCT
ejpam-6994	199	1	descriptive	descriptive	ADJ
ejpam-6994	199	2	statistics	statistic	NOUN
ejpam-6994	199	3	core	core	PROPN
ejpam-6994	199	4	descriptive	descriptive	ADJ
ejpam-6994	199	5	statistics	statistic	NOUN
ejpam-6994	199	6	for	for	ADP
ejpam-6994	199	7	call	call	NOUN
ejpam-6994	199	8	waiting	waiting	NOUN
ejpam-6994	199	9	times	time	NOUN
ejpam-6994	199	10	are	be	AUX
ejpam-6994	199	11	given	give	VERB
ejpam-6994	199	12	in	in	ADP
ejpam-6994	199	13	table	table	NOUN
ejpam-6994	199	14	1	1	NUM
ejpam-6994	199	15	.	.	PUNCT
ejpam-6994	200	1	the	the	DET
ejpam-6994	200	2	distribution	distribution	NOUN
ejpam-6994	200	3	is	be	AUX
ejpam-6994	200	4	approximately	approximately	ADV
ejpam-6994	200	5	symmetrical	symmetrical	ADJ
ejpam-6994	200	6	with	with	ADP
ejpam-6994	200	7	mild	mild	ADJ
ejpam-6994	200	8	spread	spread	NOUN
ejpam-6994	200	9	.	.	PUNCT
ejpam-6994	201	1	table	table	NOUN
ejpam-6994	201	2	1	1	NUM
ejpam-6994	201	3	:	:	PUNCT
ejpam-6994	201	4	descriptive	descriptive	ADJ
ejpam-6994	201	5	statistics	statistic	NOUN
ejpam-6994	201	6	of	of	ADP
ejpam-6994	201	7	call	call	NOUN
ejpam-6994	201	8	speed	speed	NOUN
ejpam-6994	201	9	(	(	PUNCT
ejpam-6994	201	10	in	in	ADP
ejpam-6994	201	11	seconds	second	NOUN
ejpam-6994	201	12	)	)	PUNCT
ejpam-6994	201	13	.	.	PUNCT
ejpam-6994	202	1	statistic	statistic	ADJ
ejpam-6994	202	2	value	value	NOUN
ejpam-6994	202	3	mean	mean	VERB
ejpam-6994	202	4	67.52	67.52	NUM
ejpam-6994	202	5	median	median	NOUN
ejpam-6994	202	6	68.00	68.00	NUM
ejpam-6994	202	7	standard	standard	ADJ
ejpam-6994	202	8	deviation	deviation	NOUN
ejpam-6994	202	9	33.59	33.59	NUM
ejpam-6994	202	10	range	range	NOUN
ejpam-6994	202	11	115	115	NUM
ejpam-6994	202	12	interquartile	interquartile	NOUN
ejpam-6994	202	13	range	range	NOUN
ejpam-6994	202	14	58	58	NUM
ejpam-6994	202	15	5.3	5.3	NUM
ejpam-6994	202	16	.	.	PUNCT
ejpam-6994	203	1	test	test	NOUN
ejpam-6994	203	2	for	for	ADP
ejpam-6994	203	3	distributional	distributional	ADJ
ejpam-6994	203	4	relevance	relevance	NOUN
ejpam-6994	203	5	to	to	PART
ejpam-6994	203	6	assess	assess	VERB
ejpam-6994	203	7	the	the	DET
ejpam-6994	203	8	distributional	distributional	ADJ
ejpam-6994	203	9	fit	fit	NOUN
ejpam-6994	203	10	of	of	ADP
ejpam-6994	203	11	the	the	DET
ejpam-6994	203	12	proposed	propose	VERB
ejpam-6994	203	13	model	model	NOUN
ejpam-6994	203	14	to	to	ADP
ejpam-6994	203	15	the	the	DET
ejpam-6994	203	16	observed	observe	VERB
ejpam-6994	203	17	data	datum	NOUN
ejpam-6994	203	18	,	,	PUNCT
ejpam-6994	203	19	we	we	PRON
ejpam-6994	203	20	examine	examine	VERB
ejpam-6994	203	21	seven	seven	NUM
ejpam-6994	203	22	goodness	goodness	NOUN
ejpam-6994	203	23	-	-	PUNCT
ejpam-6994	203	24	of	of	ADP
ejpam-6994	203	25	-	-	PUNCT
ejpam-6994	203	26	fit	fit	ADJ
ejpam-6994	203	27	(	(	PUNCT
ejpam-6994	203	28	gof	gof	NOUN
ejpam-6994	203	29	)	)	PUNCT
ejpam-6994	203	30	test	test	NOUN
ejpam-6994	203	31	statistics	statistic	NOUN
ejpam-6994	203	32	.	.	PUNCT
ejpam-6994	204	1	table	table	NOUN
ejpam-6994	204	2	2	2	NUM
ejpam-6994	204	3	:	:	PUNCT
ejpam-6994	204	4	goodness	goodness	NOUN
ejpam-6994	204	5	-	-	PUNCT
ejpam-6994	204	6	of	of	ADP
ejpam-6994	204	7	-	-	PUNCT
ejpam-6994	204	8	fit	fit	ADJ
ejpam-6994	204	9	(	(	PUNCT
ejpam-6994	204	10	gof	gof	NOUN
ejpam-6994	204	11	)	)	PUNCT
ejpam-6994	204	12	test	test	NOUN
ejpam-6994	204	13	statistics	statistic	NOUN
ejpam-6994	204	14	for	for	ADP
ejpam-6994	204	15	the	the	DET
ejpam-6994	204	16	proposed	propose	VERB
ejpam-6994	204	17	model	model	NOUN
ejpam-6994	204	18	.	.	PUNCT
ejpam-6994	205	1	test	test	NOUN
ejpam-6994	205	2	test	test	NOUN
ejpam-6994	205	3	statistic	statistic	NOUN
ejpam-6994	205	4	p	p	NOUN
ejpam-6994	205	5	-	-	PUNCT
ejpam-6994	205	6	value	value	NOUN
ejpam-6994	205	7	chi	chi	NOUN
ejpam-6994	205	8	-	-	PUNCT
ejpam-6994	205	9	square	square	ADJ
ejpam-6994	205	10	(	(	PUNCT
ejpam-6994	205	11	geometric	geometric	ADJ
ejpam-6994	205	12	)	)	PUNCT
ejpam-6994	205	13	1226.29	1226.29	NUM
ejpam-6994	206	1	p	p	NOUN
ejpam-6994	206	2	<	<	X
ejpam-6994	206	3	10−10	10−10	NUM
ejpam-6994	206	4	chi	chi	ADJ
ejpam-6994	206	5	-	-	PUNCT
ejpam-6994	206	6	square	square	ADJ
ejpam-6994	206	7	(	(	PUNCT
ejpam-6994	206	8	negative	negative	ADJ
ejpam-6994	206	9	binomial	binomial	ADJ
ejpam-6994	206	10	)	)	PUNCT
ejpam-6994	206	11	2394.23	2394.23	PROPN
ejpam-6994	207	1	≈	≈	PROPN
ejpam-6994	207	2	0.00	0.00	NUM
ejpam-6994	207	3	kolmogorov	kolmogorov	ADJ
ejpam-6994	207	4	-	-	PUNCT
ejpam-6994	207	5	smirnov	smirnov	ADJ
ejpam-6994	207	6	(	(	PUNCT
ejpam-6994	207	7	geometric	geometric	ADJ
ejpam-6994	207	8	)	)	PUNCT
ejpam-6994	207	9	0.1888	0.1888	NUM
ejpam-6994	207	10	p	p	X
ejpam-6994	207	11	<	<	X
ejpam-6994	207	12	10−10	10−10	NUM
ejpam-6994	207	13	kolmogorov	kolmogorov	ADJ
ejpam-6994	207	14	-	-	PUNCT
ejpam-6994	207	15	smirnov	smirnov	ADJ
ejpam-6994	207	16	(	(	PUNCT
ejpam-6994	207	17	negative	negative	ADJ
ejpam-6994	207	18	binomial	binomial	ADJ
ejpam-6994	207	19	)	)	PUNCT
ejpam-6994	207	20	0.1036	0.1036	NUM
ejpam-6994	208	1	≈	≈	PROPN
ejpam-6994	208	2	0.00	0.00	NUM
ejpam-6994	208	3	5.4	5.4	NUM
ejpam-6994	208	4	.	.	PUNCT
ejpam-6994	209	1	topic	topic	NOUN
ejpam-6994	209	2	-	-	PUNCT
ejpam-6994	209	3	based	base	VERB
ejpam-6994	209	4	dlt	dlt	PROPN
ejpam-6994	209	5	comparison	comparison	NOUN
ejpam-6994	209	6	we	we	PRON
ejpam-6994	209	7	use	use	VERB
ejpam-6994	209	8	the	the	DET
ejpam-6994	209	9	excess	excess	ADJ
ejpam-6994	209	10	dlt	dlt	PROPN
ejpam-6994	209	11	order	order	NOUN
ejpam-6994	209	12	to	to	PART
ejpam-6994	209	13	compare	compare	VERB
ejpam-6994	209	14	latencies	latency	NOUN
ejpam-6994	209	15	for	for	ADP
ejpam-6994	209	16	two	two	NUM
ejpam-6994	209	17	major	major	ADJ
ejpam-6994	209	18	service	service	NOUN
ejpam-6994	209	19	topics	topic	NOUN
ejpam-6994	209	20	:	:	PUNCT
ejpam-6994	209	21	technical	technical	ADJ
ejpam-6994	209	22	support	support	NOUN
ejpam-6994	209	23	and	and	CCONJ
ejpam-6994	209	24	contract	contract	NOUN
ejpam-6994	209	25	questions	question	NOUN
ejpam-6994	209	26	.	.	PUNCT
ejpam-6994	210	1	for	for	ADP
ejpam-6994	210	2	all	all	DET
ejpam-6994	210	3	transformed	transform	VERB
ejpam-6994	210	4	values	value	NOUN
ejpam-6994	210	5	of	of	ADP
ejpam-6994	210	6	parameters	parameter	NOUN
ejpam-6994	210	7	,	,	PUNCT
ejpam-6994	210	8	the	the	DET
ejpam-6994	210	9	dlt	dlt	PROPN
ejpam-6994	210	10	of	of	ADP
ejpam-6994	210	11	contract	contract	NOUN
ejpam-6994	210	12	-	-	PUNCT
ejpam-6994	210	13	related	relate	VERB
ejpam-6994	210	14	questions	question	NOUN
ejpam-6994	210	15	is	be	AUX
ejpam-6994	210	16	below	below	ADP
ejpam-6994	210	17	that	that	PRON
ejpam-6994	210	18	of	of	ADP
ejpam-6994	210	19	non	non	ADJ
ejpam-6994	210	20	-	-	ADJ
ejpam-6994	210	21	contract	contract	ADJ
ejpam-6994	210	22	-	-	PUNCT
ejpam-6994	210	23	related	relate	VERB
ejpam-6994	210	24	questions	question	NOUN
ejpam-6994	210	25	,	,	PUNCT
ejpam-6994	210	26	suggesting	suggest	VERB
ejpam-6994	210	27	that	that	SCONJ
ejpam-6994	210	28	contract	contract	NOUN
ejpam-6994	210	29	-	-	PUNCT
ejpam-6994	210	30	related	relate	VERB
ejpam-6994	210	31	questions	question	NOUN
ejpam-6994	210	32	are	be	AUX
ejpam-6994	210	33	stochastically	stochastically	ADV
ejpam-6994	210	34	more	more	ADV
ejpam-6994	210	35	efficient	efficient	ADJ
ejpam-6994	210	36	.	.	PUNCT
ejpam-6994	211	1	a.	a.	NOUN
ejpam-6994	211	2	a.	a.	PROPN
ejpam-6994	211	3	shokeralla	shokeralla	PROPN
ejpam-6994	211	4	/	/	SYM
ejpam-6994	211	5	eur	eur	PROPN
ejpam-6994	211	6	.	.	PUNCT
ejpam-6994	212	1	j.	j.	PROPN
ejpam-6994	212	2	pure	pure	PROPN
ejpam-6994	212	3	appl	appl	PROPN
ejpam-6994	212	4	.	.	PROPN
ejpam-6994	212	5	math	math	PROPN
ejpam-6994	212	6	,	,	PUNCT
ejpam-6994	212	7	18	18	NUM
ejpam-6994	212	8	(	(	PUNCT
ejpam-6994	212	9	4	4	NUM
ejpam-6994	212	10	)	)	PUNCT
ejpam-6994	212	11	(	(	PUNCT
ejpam-6994	212	12	2025	2025	NUM
ejpam-6994	212	13	)	)	PUNCT
ejpam-6994	212	14	,	,	PUNCT
ejpam-6994	212	15	6994	6994	NUM
ejpam-6994	212	16	13	13	NUM
ejpam-6994	212	17	of	of	ADP
ejpam-6994	212	18	22	22	NUM
ejpam-6994	212	19	table	table	NOUN
ejpam-6994	212	20	3	3	NUM
ejpam-6994	212	21	:	:	PUNCT
ejpam-6994	212	22	mean	mean	VERB
ejpam-6994	212	23	waiting	waiting	NOUN
ejpam-6994	212	24	times	time	NOUN
ejpam-6994	212	25	,	,	PUNCT
ejpam-6994	212	26	dlt	dlt	PROPN
ejpam-6994	212	27	values	value	NOUN
ejpam-6994	212	28	at	at	ADP
ejpam-6994	212	29	s	s	NOUN
ejpam-6994	212	30	=	=	NOUN
ejpam-6994	212	31	0.1	0.1	NUM
ejpam-6994	212	32	,	,	PUNCT
ejpam-6994	212	33	and	and	CCONJ
ejpam-6994	212	34	95	95	NUM
ejpam-6994	212	35	%	%	NOUN
ejpam-6994	212	36	confidence	confidence	NOUN
ejpam-6994	212	37	intervals	interval	NOUN
ejpam-6994	212	38	for	for	ADP
ejpam-6994	212	39	different	different	ADJ
ejpam-6994	212	40	call	call	NOUN
ejpam-6994	212	41	topics	topic	NOUN
ejpam-6994	212	42	.	.	PUNCT
ejpam-6994	213	1	topic	topic	NOUN
ejpam-6994	213	2	mean	mean	NOUN
ejpam-6994	213	3	wait	wait	NOUN
ejpam-6994	213	4	(	(	PUNCT
ejpam-6994	213	5	sec	sec	PROPN
ejpam-6994	213	6	)	)	PUNCT
ejpam-6994	213	7	dlt	dlt	PROPN
ejpam-6994	213	8	(	(	PUNCT
ejpam-6994	213	9	s	s	NOUN
ejpam-6994	213	10	=	=	NOUN
ejpam-6994	213	11	0.1	0.1	NUM
ejpam-6994	213	12	)	)	PUNCT
ejpam-6994	213	13	95	95	NUM
ejpam-6994	213	14	%	%	NOUN
ejpam-6994	213	15	ci	ci	NOUN
ejpam-6994	213	16	(	(	PUNCT
ejpam-6994	213	17	dlt	dlt	PROPN
ejpam-6994	213	18	)	)	PUNCT
ejpam-6994	213	19	technical	technical	ADJ
ejpam-6994	213	20	support	support	NOUN
ejpam-6994	213	21	68.2	68.2	NUM
ejpam-6994	213	22	3.545	3.545	NUM
ejpam-6994	213	23	(	(	PUNCT
ejpam-6994	213	24	3.521	3.521	NUM
ejpam-6994	213	25	,	,	PUNCT
ejpam-6994	213	26	3.569	3.569	NUM
ejpam-6994	213	27	)	)	PUNCT
ejpam-6994	213	28	administrative	administrative	ADJ
ejpam-6994	213	29	66.9	66.9	NUM
ejpam-6994	213	30	3.503	3.503	NUM
ejpam-6994	213	31	(	(	PUNCT
ejpam-6994	213	32	3.503	3.503	NUM
ejpam-6994	213	33	,	,	PUNCT
ejpam-6994	213	34	3.503	3.503	NUM
ejpam-6994	213	35	)	)	PUNCT
ejpam-6994	213	36	the	the	DET
ejpam-6994	213	37	95	95	NUM
ejpam-6994	213	38	%	%	NOUN
ejpam-6994	213	39	bootstrap	bootstrap	NOUN
ejpam-6994	213	40	confidence	confidence	NOUN
ejpam-6994	213	41	intervals	interval	NOUN
ejpam-6994	213	42	were	be	AUX
ejpam-6994	213	43	computed	compute	VERB
ejpam-6994	213	44	based	base	VERB
ejpam-6994	213	45	on	on	ADP
ejpam-6994	213	46	1000	1000	NUM
ejpam-6994	213	47	resamples	resample	NOUN
ejpam-6994	213	48	.	.	PUNCT
ejpam-6994	214	1	despite	despite	SCONJ
ejpam-6994	214	2	nearly	nearly	ADV
ejpam-6994	214	3	identical	identical	ADJ
ejpam-6994	214	4	mean	mean	NOUN
ejpam-6994	214	5	waiting	waiting	NOUN
ejpam-6994	214	6	times	time	NOUN
ejpam-6994	214	7	(	(	PUNCT
ejpam-6994	214	8	∆	∆	PROPN
ejpam-6994	214	9	=	=	SYM
ejpam-6994	214	10	1.3	1.3	NUM
ejpam-6994	214	11	sec	sec	PROPN
ejpam-6994	214	12	)	)	PUNCT
ejpam-6994	214	13	,	,	PUNCT
ejpam-6994	214	14	the	the	DET
ejpam-6994	214	15	dlt	dlt	PROPN
ejpam-6994	214	16	values	value	NOUN
ejpam-6994	214	17	reveal	reveal	VERB
ejpam-6994	214	18	a	a	DET
ejpam-6994	214	19	consistent	consistent	ADJ
ejpam-6994	214	20	tail	tail	NOUN
ejpam-6994	214	21	disparity	disparity	NOUN
ejpam-6994	214	22	(	(	PUNCT
ejpam-6994	214	23	figure	figure	NOUN
ejpam-6994	214	24	4	4	NUM
ejpam-6994	214	25	.	.	PUNCT
ejpam-6994	214	26	bootstrap	bootstrap	NOUN
ejpam-6994	214	27	tests	test	NOUN
ejpam-6994	214	28	confirm	confirm	VERB
ejpam-6994	214	29	that	that	SCONJ
ejpam-6994	214	30	this	this	DET
ejpam-6994	214	31	difference	difference	NOUN
ejpam-6994	214	32	is	be	AUX
ejpam-6994	214	33	statistically	statistically	ADV
ejpam-6994	214	34	significant	significant	ADJ
ejpam-6994	214	35	(	(	PUNCT
ejpam-6994	214	36	p	p	X
ejpam-6994	214	37	<	<	X
ejpam-6994	214	38	0.01	0.01	NUM
ejpam-6994	214	39	)	)	PUNCT
ejpam-6994	214	40	.	.	PUNCT
ejpam-6994	215	1	figure	figure	VERB
ejpam-6994	215	2	4	4	NUM
ejpam-6994	215	3	:	:	PUNCT
ejpam-6994	215	4	dlt	dlt	PROPN
ejpam-6994	215	5	curves	curve	NOUN
ejpam-6994	215	6	by	by	ADP
ejpam-6994	215	7	call	call	NOUN
ejpam-6994	215	8	topic	topic	NOUN
ejpam-6994	215	9	.	.	PUNCT
ejpam-6994	216	1	the	the	DET
ejpam-6994	216	2	above	above	ADJ
ejpam-6994	216	3	figure	figure	NOUN
ejpam-6994	216	4	illustrates	illustrate	VERB
ejpam-6994	216	5	how	how	SCONJ
ejpam-6994	216	6	dlt	dlt	PROPN
ejpam-6994	216	7	values	value	NOUN
ejpam-6994	216	8	vary	vary	VERB
ejpam-6994	216	9	across	across	ADP
ejpam-6994	216	10	different	different	ADJ
ejpam-6994	216	11	service	service	NOUN
ejpam-6994	216	12	topics	topic	NOUN
ejpam-6994	216	13	and	and	CCONJ
ejpam-6994	216	14	for	for	ADP
ejpam-6994	216	15	different	different	ADJ
ejpam-6994	216	16	values	value	NOUN
ejpam-6994	216	17	of	of	ADP
ejpam-6994	216	18	the	the	DET
ejpam-6994	216	19	discount	discount	NOUN
ejpam-6994	216	20	factor	factor	NOUN
ejpam-6994	216	21	s.	s.	PROPN
ejpam-6994	216	22	lower	lower	PROPN
ejpam-6994	216	23	dlt	dlt	PROPN
ejpam-6994	216	24	values	value	NOUN
ejpam-6994	216	25	indicate	indicate	VERB
ejpam-6994	216	26	quicker	quick	ADJ
ejpam-6994	216	27	expected	expect	VERB
ejpam-6994	216	28	resolution	resolution	NOUN
ejpam-6994	216	29	under	under	ADP
ejpam-6994	216	30	exponential	exponential	ADJ
ejpam-6994	216	31	discounting	discounting	NOUN
ejpam-6994	216	32	.	.	PUNCT
ejpam-6994	217	1	rationale	rationale	NOUN
ejpam-6994	217	2	:	:	PUNCT
ejpam-6994	217	3	the	the	DET
ejpam-6994	217	4	figure	figure	NOUN
ejpam-6994	217	5	visually	visually	ADV
ejpam-6994	217	6	supports	support	VERB
ejpam-6994	217	7	the	the	DET
ejpam-6994	217	8	differences	difference	NOUN
ejpam-6994	217	9	observed	observe	VERB
ejpam-6994	217	10	in	in	ADP
ejpam-6994	217	11	table	table	NOUN
ejpam-6994	217	12	4	4	NUM
ejpam-6994	217	13	.	.	PUNCT
ejpam-6994	217	14	table	table	NOUN
ejpam-6994	217	15	4	4	NUM
ejpam-6994	217	16	:	:	PUNCT
ejpam-6994	217	17	dlt	dlt	PROPN
ejpam-6994	217	18	values	value	NOUN
ejpam-6994	217	19	for	for	ADP
ejpam-6994	217	20	technical	technical	ADJ
ejpam-6994	217	21	support	support	NOUN
ejpam-6994	217	22	and	and	CCONJ
ejpam-6994	217	23	contract	contract	NOUN
ejpam-6994	217	24	-	-	PUNCT
ejpam-6994	217	25	related	relate	VERB
ejpam-6994	217	26	inquiries	inquiry	NOUN
ejpam-6994	217	27	across	across	ADP
ejpam-6994	217	28	different	different	ADJ
ejpam-6994	217	29	discount	discount	NOUN
ejpam-6994	217	30	factors	factor	NOUN
ejpam-6994	217	31	s	s	PART
ejpam-6994	217	32	,	,	PUNCT
ejpam-6994	217	33	and	and	CCONJ
ejpam-6994	217	34	the	the	DET
ejpam-6994	217	35	resulting	result	VERB
ejpam-6994	217	36	dlt	dlt	PROPN
ejpam-6994	217	37	-	-	PUNCT
ejpam-6994	217	38	order	order	NOUN
ejpam-6994	217	39	comparison	comparison	NOUN
ejpam-6994	217	40	.	.	PUNCT
ejpam-6994	218	1	s	s	PART
ejpam-6994	218	2	dlt	dlt	PROPN
ejpam-6994	218	3	(	(	PUNCT
ejpam-6994	218	4	technical	technical	ADJ
ejpam-6994	218	5	support	support	NOUN
ejpam-6994	218	6	)	)	PUNCT
ejpam-6994	218	7	dlt	dlt	PROPN
ejpam-6994	218	8	(	(	PUNCT
ejpam-6994	218	9	contract	contract	NOUN
ejpam-6994	218	10	-	-	PUNCT
ejpam-6994	218	11	related	relate	VERB
ejpam-6994	218	12	)	)	PUNCT
ejpam-6994	219	1	dlt	dlt	PROPN
ejpam-6994	219	2	order	order	NOUN
ejpam-6994	219	3	0.1	0.1	NUM
ejpam-6994	219	4	3.54497	3.54497	NUM
ejpam-6994	219	5	3.51858	3.51858	NUM
ejpam-6994	219	6	>	>	SYM
ejpam-6994	219	7	0.5	0.5	NUM
ejpam-6994	219	8	0.01685	0.01685	NUM
ejpam-6994	219	9	0.01679	0.01679	NUM
ejpam-6994	219	10	>	>	SYM
ejpam-6994	219	11	1.0	1.0	NUM
ejpam-6994	219	12	7.12×	7.12×	NUM
ejpam-6994	219	13	10−5	10−5	NUM
ejpam-6994	220	1	7.10×	7.10×	NUM
ejpam-6994	220	2	10−5	10−5	NUM
ejpam-6994	220	3	>	>	X
ejpam-6994	220	4	2.0	2.0	NUM
ejpam-6994	220	5	2.37×	2.37×	NUM
ejpam-6994	220	6	10−9	10−9	NUM
ejpam-6994	220	7	2.36×	2.36×	NUM
ejpam-6994	220	8	10−9	10−9	NUM
ejpam-6994	220	9	>	>	X
ejpam-6994	220	10	this	this	PRON
ejpam-6994	220	11	implies	imply	VERB
ejpam-6994	220	12	:	:	PUNCT
ejpam-6994	220	13	contract	contract	NOUN
ejpam-6994	220	14	related	relate	VERB
ejpam-6994	220	15	≤dlt	≤dlt	NUM
ejpam-6994	220	16	technical	technical	ADJ
ejpam-6994	220	17	support	support	NOUN
ejpam-6994	220	18	⇐	⇐	ADJ
ejpam-6994	220	19	⇒	⇒	PROPN
ejpam-6994	220	20	ld	ld	PROPN
ejpam-6994	220	21	(	(	PUNCT
ejpam-6994	220	22	rcontract	rcontract	NOUN
ejpam-6994	220	23	related(s	related(s	NOUN
ejpam-6994	220	24	)	)	PUNCT
ejpam-6994	220	25	)	)	PUNCT
ejpam-6994	221	1	≥	≥	PROPN
ejpam-6994	221	2	ld	ld	PROPN
ejpam-6994	221	3	(	(	PUNCT
ejpam-6994	221	4	rtechnical	rtechnical	ADJ
ejpam-6994	221	5	support(s	support(s	PROPN
ejpam-6994	221	6	)	)	PUNCT
ejpam-6994	221	7	)	)	PUNCT
ejpam-6994	221	8	,	,	PUNCT
ejpam-6994	222	1	∀s	∀s	PROPN
ejpam-6994	222	2	>	>	X
ejpam-6994	222	3	0	0	PUNCT
ejpam-6994	223	1	(	(	PUNCT
ejpam-6994	223	2	24	24	NUM
ejpam-6994	223	3	)	)	PUNCT
ejpam-6994	223	4	this	this	DET
ejpam-6994	223	5	finding	finding	NOUN
ejpam-6994	223	6	is	be	AUX
ejpam-6994	223	7	consistent	consistent	ADJ
ejpam-6994	223	8	with	with	ADP
ejpam-6994	223	9	anecdotal	anecdotal	ADJ
ejpam-6994	223	10	evidence	evidence	NOUN
ejpam-6994	223	11	that	that	SCONJ
ejpam-6994	223	12	technical	technical	ADJ
ejpam-6994	223	13	-	-	PUNCT
ejpam-6994	223	14	related	relate	VERB
ejpam-6994	223	15	issues	issue	NOUN
ejpam-6994	223	16	generally	generally	ADV
ejpam-6994	223	17	have	have	AUX
ejpam-6994	223	18	longer	long	ADJ
ejpam-6994	223	19	diagnosis	diagnosis	NOUN
ejpam-6994	223	20	and	and	CCONJ
ejpam-6994	223	21	wait	wait	VERB
ejpam-6994	223	22	times	time	NOUN
ejpam-6994	223	23	than	than	ADP
ejpam-6994	223	24	contract	contract	NOUN
ejpam-6994	223	25	-	-	PUNCT
ejpam-6994	223	26	based	base	VERB
ejpam-6994	223	27	issues	issue	NOUN
ejpam-6994	223	28	.	.	PUNCT
ejpam-6994	224	1	a.	a.	NOUN
ejpam-6994	224	2	a.	a.	PROPN
ejpam-6994	224	3	shokeralla	shokeralla	PROPN
ejpam-6994	224	4	/	/	SYM
ejpam-6994	224	5	eur	eur	PROPN
ejpam-6994	224	6	.	.	PUNCT
ejpam-6994	225	1	j.	j.	PROPN
ejpam-6994	225	2	pure	pure	PROPN
ejpam-6994	225	3	appl	appl	PROPN
ejpam-6994	225	4	.	.	PROPN
ejpam-6994	225	5	math	math	PROPN
ejpam-6994	225	6	,	,	PUNCT
ejpam-6994	225	7	18	18	NUM
ejpam-6994	225	8	(	(	PUNCT
ejpam-6994	225	9	4	4	NUM
ejpam-6994	225	10	)	)	PUNCT
ejpam-6994	225	11	(	(	PUNCT
ejpam-6994	225	12	2025	2025	NUM
ejpam-6994	225	13	)	)	PUNCT
ejpam-6994	225	14	,	,	PUNCT
ejpam-6994	225	15	6994	6994	NUM
ejpam-6994	225	16	14	14	NUM
ejpam-6994	225	17	of	of	ADP
ejpam-6994	225	18	22	22	NUM
ejpam-6994	225	19	figure	figure	NOUN
ejpam-6994	225	20	5	5	NUM
ejpam-6994	225	21	:	:	PUNCT
ejpam-6994	225	22	dlt	dlt	PROPN
ejpam-6994	225	23	contrast	contrast	NOUN
ejpam-6994	225	24	between	between	ADP
ejpam-6994	225	25	technical	technical	ADJ
ejpam-6994	225	26	support	support	NOUN
ejpam-6994	225	27	&	&	CCONJ
ejpam-6994	225	28	contract	contract	NOUN
ejpam-6994	225	29	-	-	PUNCT
ejpam-6994	225	30	related	relate	VERB
ejpam-6994	225	31	topics	topic	NOUN
ejpam-6994	225	32	.	.	PUNCT
ejpam-6994	226	1	note	note	NOUN
ejpam-6994	226	2	on	on	ADP
ejpam-6994	226	3	alternative	alternative	ADJ
ejpam-6994	226	4	nonparametric	nonparametric	NOUN
ejpam-6994	226	5	tests	test	VERB
ejpam-6994	226	6	the	the	DET
ejpam-6994	226	7	kolmogorov	kolmogorov	ADJ
ejpam-6994	226	8	–	–	PUNCT
ejpam-6994	226	9	smirnov	smirnov	ADJ
ejpam-6994	226	10	(	(	PUNCT
ejpam-6994	226	11	ks	ks	NOUN
ejpam-6994	226	12	)	)	PUNCT
ejpam-6994	226	13	test	test	NOUN
ejpam-6994	226	14	and	and	CCONJ
ejpam-6994	226	15	permutation	permutation	NOUN
ejpam-6994	226	16	tests	test	NOUN
ejpam-6994	226	17	are	be	AUX
ejpam-6994	226	18	designed	design	VERB
ejpam-6994	226	19	to	to	PART
ejpam-6994	226	20	compare	compare	VERB
ejpam-6994	226	21	empirical	empirical	ADJ
ejpam-6994	226	22	distributions	distribution	NOUN
ejpam-6994	226	23	of	of	ADP
ejpam-6994	226	24	raw	raw	ADJ
ejpam-6994	226	25	waiting	waiting	NOUN
ejpam-6994	226	26	times	time	NOUN
ejpam-6994	226	27	,	,	PUNCT
ejpam-6994	226	28	not	not	PART
ejpam-6994	226	29	transformed	transform	VERB
ejpam-6994	226	30	metrics	metric	NOUN
ejpam-6994	226	31	such	such	ADJ
ejpam-6994	226	32	as	as	ADP
ejpam-6994	226	33	dlt	dlt	PROPN
ejpam-6994	226	34	values	value	NOUN
ejpam-6994	226	35	.	.	PUNCT
ejpam-6994	227	1	since	since	SCONJ
ejpam-6994	227	2	our	our	PRON
ejpam-6994	227	3	primary	primary	ADJ
ejpam-6994	227	4	goal	goal	NOUN
ejpam-6994	227	5	is	be	AUX
ejpam-6994	227	6	to	to	PART
ejpam-6994	227	7	compare	compare	VERB
ejpam-6994	227	8	stochastic	stochastic	ADJ
ejpam-6994	227	9	orders	order	NOUN
ejpam-6994	227	10	via	via	ADP
ejpam-6994	227	11	the	the	DET
ejpam-6994	227	12	dlt	dlt	PROPN
ejpam-6994	227	13	framework	framework	NOUN
ejpam-6994	227	14	,	,	PUNCT
ejpam-6994	227	15	and	and	CCONJ
ejpam-6994	227	16	not	not	PART
ejpam-6994	227	17	to	to	PART
ejpam-6994	227	18	test	test	VERB
ejpam-6994	227	19	equality	equality	NOUN
ejpam-6994	227	20	of	of	ADP
ejpam-6994	227	21	raw	raw	ADJ
ejpam-6994	227	22	distributions	distribution	NOUN
ejpam-6994	227	23	,	,	PUNCT
ejpam-6994	227	24	these	these	DET
ejpam-6994	227	25	tests	test	NOUN
ejpam-6994	227	26	are	be	AUX
ejpam-6994	227	27	not	not	PART
ejpam-6994	227	28	directly	directly	ADV
ejpam-6994	227	29	applicable	applicable	ADJ
ejpam-6994	227	30	.	.	PUNCT
ejpam-6994	228	1	instead	instead	ADV
ejpam-6994	228	2	,	,	PUNCT
ejpam-6994	228	3	we	we	PRON
ejpam-6994	228	4	rely	rely	VERB
ejpam-6994	228	5	on	on	ADP
ejpam-6994	228	6	bootstrap	bootstrap	NOUN
ejpam-6994	228	7	confidence	confidence	NOUN
ejpam-6994	228	8	intervals	interval	NOUN
ejpam-6994	228	9	and	and	CCONJ
ejpam-6994	228	10	the	the	DET
ejpam-6994	228	11	mann	mann	PROPN
ejpam-6994	228	12	–	–	PUNCT
ejpam-6994	228	13	whitney	whitney	PROPN
ejpam-6994	228	14	u	u	PROPN
ejpam-6994	228	15	test	test	NOUN
ejpam-6994	228	16	applied	apply	VERB
ejpam-6994	228	17	to	to	ADP
ejpam-6994	228	18	the	the	DET
ejpam-6994	228	19	original	original	ADJ
ejpam-6994	228	20	waiting	waiting	NOUN
ejpam-6994	228	21	time	time	NOUN
ejpam-6994	228	22	data	datum	NOUN
ejpam-6994	228	23	(	(	PUNCT
ejpam-6994	228	24	not	not	PART
ejpam-6994	228	25	dlt	dlt	PROPN
ejpam-6994	228	26	values	value	NOUN
ejpam-6994	228	27	)	)	PUNCT
ejpam-6994	228	28	to	to	PART
ejpam-6994	228	29	validate	validate	VERB
ejpam-6994	228	30	distributional	distributional	ADJ
ejpam-6994	228	31	differences	difference	NOUN
ejpam-6994	228	32	.	.	PUNCT
ejpam-6994	229	1	applying	apply	VERB
ejpam-6994	229	2	the	the	DET
ejpam-6994	229	3	ks	ks	NOUN
ejpam-6994	229	4	test	test	NOUN
ejpam-6994	229	5	directly	directly	ADV
ejpam-6994	229	6	to	to	ADP
ejpam-6994	229	7	the	the	DET
ejpam-6994	229	8	original	original	ADJ
ejpam-6994	229	9	waiting	waiting	NOUN
ejpam-6994	229	10	time	time	NOUN
ejpam-6994	229	11	data	data	NOUN
ejpam-6994	229	12	yields	yield	NOUN
ejpam-6994	229	13	d	d	X
ejpam-6994	229	14	=	=	SYM
ejpam-6994	229	15	0.1888	0.1888	NUM
ejpam-6994	229	16	,	,	PUNCT
ejpam-6994	229	17	p	p	X
ejpam-6994	229	18	<	<	X
ejpam-6994	229	19	10−10	10−10	NUM
ejpam-6994	229	20	(	(	PUNCT
ejpam-6994	229	21	table	table	NOUN
ejpam-6994	229	22	2	2	NUM
ejpam-6994	229	23	)	)	PUNCT
ejpam-6994	229	24	,	,	PUNCT
ejpam-6994	229	25	confirming	confirm	VERB
ejpam-6994	229	26	that	that	SCONJ
ejpam-6994	229	27	the	the	DET
ejpam-6994	229	28	two	two	NUM
ejpam-6994	229	29	service	service	NOUN
ejpam-6994	229	30	classes	class	NOUN
ejpam-6994	229	31	have	have	VERB
ejpam-6994	229	32	statistically	statistically	ADV
ejpam-6994	229	33	distinct	distinct	ADJ
ejpam-6994	229	34	waiting	waiting	NOUN
ejpam-6994	229	35	time	time	NOUN
ejpam-6994	229	36	distributions	distribution	NOUN
ejpam-6994	229	37	.	.	PUNCT
ejpam-6994	230	1	these	these	DET
ejpam-6994	230	2	approaches	approach	NOUN
ejpam-6994	230	3	further	far	ADV
ejpam-6994	230	4	confirm	confirm	VERB
ejpam-6994	230	5	that	that	SCONJ
ejpam-6994	230	6	technical	technical	ADJ
ejpam-6994	230	7	support	support	NOUN
ejpam-6994	230	8	and	and	CCONJ
ejpam-6994	230	9	administrative	administrative	ADJ
ejpam-6994	230	10	calls	call	NOUN
ejpam-6994	230	11	have	have	VERB
ejpam-6994	230	12	statistically	statistically	ADV
ejpam-6994	230	13	distinct	distinct	ADJ
ejpam-6994	230	14	waiting	waiting	NOUN
ejpam-6994	230	15	time	time	NOUN
ejpam-6994	230	16	distributions	distribution	NOUN
ejpam-6994	230	17	(	(	PUNCT
ejpam-6994	230	18	p	p	X
ejpam-6994	230	19	<	<	X
ejpam-6994	230	20	0.01	0.01	NUM
ejpam-6994	230	21	)	)	PUNCT
ejpam-6994	230	22	,	,	PUNCT
ejpam-6994	230	23	justifying	justify	VERB
ejpam-6994	230	24	the	the	DET
ejpam-6994	230	25	use	use	NOUN
ejpam-6994	230	26	of	of	ADP
ejpam-6994	230	27	dlt	dlt	PROPN
ejpam-6994	230	28	for	for	ADP
ejpam-6994	230	29	finer	finer	ADV
ejpam-6994	230	30	-	-	PUNCT
ejpam-6994	230	31	grained	grain	VERB
ejpam-6994	230	32	stochastic	stochastic	ADJ
ejpam-6994	230	33	comparisons	comparison	NOUN
ejpam-6994	230	34	.	.	PUNCT
ejpam-6994	231	1	applying	apply	VERB
ejpam-6994	231	2	the	the	DET
ejpam-6994	231	3	mann	mann	PROPN
ejpam-6994	231	4	–	–	PUNCT
ejpam-6994	231	5	whitney	whitney	PROPN
ejpam-6994	231	6	u	u	PROPN
ejpam-6994	231	7	test	test	NOUN
ejpam-6994	231	8	to	to	ADP
ejpam-6994	231	9	the	the	DET
ejpam-6994	231	10	raw	raw	ADJ
ejpam-6994	231	11	waiting	waiting	NOUN
ejpam-6994	231	12	time	time	NOUN
ejpam-6994	231	13	data	datum	NOUN
ejpam-6994	231	14	yields	yield	VERB
ejpam-6994	231	15	u	u	NOUN
ejpam-6994	231	16	=	=	PROPN
ejpam-6994	231	17	8	8	NUM
ejpam-6994	231	18	,	,	PUNCT
ejpam-6994	231	19	210	210	NUM
ejpam-6994	231	20	,	,	PUNCT
ejpam-6994	231	21	p	p	X
ejpam-6994	231	22	=	=	NOUN
ejpam-6994	231	23	0.003	0.003	NUM
ejpam-6994	231	24	,	,	PUNCT
ejpam-6994	231	25	confirming	confirm	VERB
ejpam-6994	231	26	significant	significant	ADJ
ejpam-6994	231	27	differences	difference	NOUN
ejpam-6994	231	28	between	between	ADP
ejpam-6994	231	29	the	the	DET
ejpam-6994	231	30	two	two	NUM
ejpam-6994	231	31	service	service	NOUN
ejpam-6994	231	32	classes	class	NOUN
ejpam-6994	231	33	.	.	PUNCT
ejpam-6994	232	1	5.5	5.5	NUM
ejpam-6994	232	2	.	.	X
ejpam-6994	232	3	relationship	relationship	NOUN
ejpam-6994	232	4	to	to	ADP
ejpam-6994	232	5	classical	classical	ADJ
ejpam-6994	232	6	stochastic	stochastic	ADJ
ejpam-6994	232	7	orders	order	NOUN
ejpam-6994	232	8	the	the	DET
ejpam-6994	232	9	discrete	discrete	ADJ
ejpam-6994	232	10	laplace	laplace	NOUN
ejpam-6994	232	11	transform	transform	NOUN
ejpam-6994	232	12	(	(	PUNCT
ejpam-6994	232	13	dlt)-based	dlt)-base	VERB
ejpam-6994	232	14	order	order	NOUN
ejpam-6994	232	15	expands	expand	VERB
ejpam-6994	232	16	upon	upon	SCONJ
ejpam-6994	232	17	traditional	traditional	ADJ
ejpam-6994	232	18	stochastic	stochastic	ADJ
ejpam-6994	232	19	orders	order	NOUN
ejpam-6994	232	20	,	,	PUNCT
ejpam-6994	232	21	such	such	ADJ
ejpam-6994	232	22	as	as	ADP
ejpam-6994	232	23	the	the	DET
ejpam-6994	232	24	usual	usual	ADJ
ejpam-6994	232	25	stochastic	stochastic	ADJ
ejpam-6994	232	26	order	order	NOUN
ejpam-6994	232	27	,	,	PUNCT
ejpam-6994	232	28	the	the	DET
ejpam-6994	232	29	hazard	hazard	NOUN
ejpam-6994	232	30	rate	rate	NOUN
ejpam-6994	232	31	order	order	NOUN
ejpam-6994	232	32	,	,	PUNCT
ejpam-6994	232	33	and	and	CCONJ
ejpam-6994	232	34	the	the	DET
ejpam-6994	232	35	likelihood	likelihood	NOUN
ejpam-6994	232	36	ratio	ratio	NOUN
ejpam-6994	232	37	order	order	NOUN
ejpam-6994	233	1	[	[	X
ejpam-6994	233	2	1	1	NUM
ejpam-6994	233	3	,	,	PUNCT
ejpam-6994	233	4	2	2	NUM
ejpam-6994	233	5	]	]	PUNCT
ejpam-6994	233	6	.	.	PUNCT
ejpam-6994	234	1	classical	classical	ADJ
ejpam-6994	234	2	orders	order	NOUN
ejpam-6994	234	3	often	often	ADV
ejpam-6994	234	4	impose	impose	VERB
ejpam-6994	234	5	strong	strong	ADJ
ejpam-6994	234	6	assumptions	assumption	NOUN
ejpam-6994	234	7	,	,	PUNCT
ejpam-6994	234	8	such	such	ADJ
ejpam-6994	234	9	as	as	ADP
ejpam-6994	234	10	monotonic	monotonic	ADJ
ejpam-6994	234	11	hazard	hazard	NOUN
ejpam-6994	234	12	functions	function	NOUN
ejpam-6994	234	13	or	or	CCONJ
ejpam-6994	234	14	log	log	NOUN
ejpam-6994	234	15	-	-	PUNCT
ejpam-6994	234	16	concavity	concavity	NOUN
ejpam-6994	234	17	in	in	ADP
ejpam-6994	234	18	discrete	discrete	ADJ
ejpam-6994	234	19	distributions	distribution	NOUN
ejpam-6994	234	20	,	,	PUNCT
ejpam-6994	234	21	which	which	PRON
ejpam-6994	234	22	limit	limit	VERB
ejpam-6994	234	23	their	their	PRON
ejpam-6994	234	24	applicability	applicability	NOUN
ejpam-6994	234	25	to	to	ADP
ejpam-6994	234	26	real	real	ADJ
ejpam-6994	234	27	-	-	PUNCT
ejpam-6994	234	28	world	world	NOUN
ejpam-6994	234	29	queueing	queueing	NOUN
ejpam-6994	234	30	or	or	CCONJ
ejpam-6994	234	31	service	service	NOUN
ejpam-6994	234	32	systems	system	NOUN
ejpam-6994	234	33	that	that	PRON
ejpam-6994	234	34	exhibit	exhibit	VERB
ejpam-6994	234	35	irregular	irregular	ADJ
ejpam-6994	234	36	or	or	CCONJ
ejpam-6994	234	37	bursty	bursty	ADJ
ejpam-6994	234	38	behavior	behavior	NOUN
ejpam-6994	234	39	[	[	X
ejpam-6994	234	40	3	3	NUM
ejpam-6994	234	41	,	,	PUNCT
ejpam-6994	234	42	4	4	NUM
ejpam-6994	234	43	]	]	PUNCT
ejpam-6994	234	44	.	.	PUNCT
ejpam-6994	235	1	while	while	SCONJ
ejpam-6994	235	2	the	the	DET
ejpam-6994	235	3	mean	mean	ADJ
ejpam-6994	235	4	waiting	waiting	NOUN
ejpam-6994	235	5	times	time	NOUN
ejpam-6994	235	6	for	for	ADP
ejpam-6994	235	7	technical	technical	ADJ
ejpam-6994	235	8	support	support	NOUN
ejpam-6994	235	9	(	(	PUNCT
ejpam-6994	235	10	68.2	68.2	NUM
ejpam-6994	235	11	sec	sec	PROPN
ejpam-6994	235	12	)	)	PUNCT
ejpam-6994	235	13	and	and	CCONJ
ejpam-6994	235	14	contract	contract	NOUN
ejpam-6994	235	15	-	-	PUNCT
ejpam-6994	235	16	related	relate	VERB
ejpam-6994	235	17	inquiries	inquiry	NOUN
ejpam-6994	235	18	(	(	PUNCT
ejpam-6994	235	19	66.9	66.9	NUM
ejpam-6994	235	20	sec	sec	NOUN
ejpam-6994	235	21	)	)	PUNCT
ejpam-6994	235	22	differ	differ	VERB
ejpam-6994	235	23	by	by	ADP
ejpam-6994	235	24	only	only	ADV
ejpam-6994	235	25	1.3	1.3	NUM
ejpam-6994	235	26	sec	sec	PROPN
ejpam-6994	235	27	,	,	PUNCT
ejpam-6994	235	28	dlt	dlt	PROPN
ejpam-6994	235	29	values	value	NOUN
ejpam-6994	235	30	(	(	PUNCT
ejpam-6994	235	31	3.545	3.545	NUM
ejpam-6994	235	32	vs.	vs.	ADP
ejpam-6994	235	33	3.503	3.503	NUM
ejpam-6994	235	34	at	at	ADP
ejpam-6994	235	35	s	s	NOUN
ejpam-6994	235	36	=	=	NOUN
ejpam-6994	235	37	0.1	0.1	NUM
ejpam-6994	235	38	)	)	PUNCT
ejpam-6994	235	39	reveal	reveal	VERB
ejpam-6994	235	40	a	a	DET
ejpam-6994	235	41	a.	a.	NOUN
ejpam-6994	235	42	a.	a.	NOUN
ejpam-6994	235	43	shokeralla	shokeralla	PROPN
ejpam-6994	235	44	/	/	SYM
ejpam-6994	235	45	eur	eur	PROPN
ejpam-6994	235	46	.	.	PUNCT
ejpam-6994	236	1	j.	j.	PROPN
ejpam-6994	236	2	pure	pure	PROPN
ejpam-6994	236	3	appl	appl	PROPN
ejpam-6994	236	4	.	.	PROPN
ejpam-6994	236	5	math	math	PROPN
ejpam-6994	236	6	,	,	PUNCT
ejpam-6994	236	7	18	18	NUM
ejpam-6994	236	8	(	(	PUNCT
ejpam-6994	236	9	4	4	NUM
ejpam-6994	236	10	)	)	PUNCT
ejpam-6994	236	11	(	(	PUNCT
ejpam-6994	236	12	2025	2025	NUM
ejpam-6994	236	13	)	)	PUNCT
ejpam-6994	236	14	,	,	PUNCT
ejpam-6994	236	15	6994	6994	NUM
ejpam-6994	236	16	15	15	NUM
ejpam-6994	236	17	of	of	ADP
ejpam-6994	236	18	22	22	NUM
ejpam-6994	236	19	consistent	consistent	ADJ
ejpam-6994	236	20	tail	tail	NOUN
ejpam-6994	236	21	disparity	disparity	NOUN
ejpam-6994	236	22	.	.	PUNCT
ejpam-6994	237	1	hazard	hazard	NOUN
ejpam-6994	237	2	rate	rate	NOUN
ejpam-6994	237	3	comparisons	comparison	NOUN
ejpam-6994	237	4	at	at	ADP
ejpam-6994	237	5	t	t	NOUN
ejpam-6994	237	6	=	=	SYM
ejpam-6994	237	7	1	1	NUM
ejpam-6994	237	8	even	even	ADV
ejpam-6994	237	9	reverse	reverse	VERB
ejpam-6994	237	10	the	the	DET
ejpam-6994	237	11	ranking	ranking	NOUN
ejpam-6994	237	12	(	(	PUNCT
ejpam-6994	237	13	see	see	VERB
ejpam-6994	237	14	table	table	NOUN
ejpam-6994	237	15	5	5	NUM
ejpam-6994	237	16	)	)	PUNCT
ejpam-6994	237	17	,	,	PUNCT
ejpam-6994	237	18	highlighting	highlight	VERB
ejpam-6994	237	19	the	the	DET
ejpam-6994	237	20	superior	superior	ADJ
ejpam-6994	237	21	discriminative	discriminative	NOUN
ejpam-6994	237	22	power	power	NOUN
ejpam-6994	237	23	of	of	ADP
ejpam-6994	237	24	the	the	DET
ejpam-6994	237	25	dlt	dlt	PROPN
ejpam-6994	237	26	-	-	PUNCT
ejpam-6994	237	27	order	order	NOUN
ejpam-6994	237	28	.	.	PUNCT
ejpam-6994	238	1	figure	figure	VERB
ejpam-6994	238	2	6	6	NUM
ejpam-6994	238	3	:	:	PUNCT
ejpam-6994	238	4	comparison	comparison	NOUN
ejpam-6994	238	5	of	of	ADP
ejpam-6994	238	6	stochastic	stochastic	ADJ
ejpam-6994	238	7	orders	order	NOUN
ejpam-6994	238	8	.	.	PUNCT
ejpam-6994	239	1	quantitative	quantitative	ADJ
ejpam-6994	239	2	comparison	comparison	NOUN
ejpam-6994	239	3	with	with	ADP
ejpam-6994	239	4	classical	classical	ADJ
ejpam-6994	239	5	metrics	metric	NOUN
ejpam-6994	239	6	while	while	SCONJ
ejpam-6994	239	7	the	the	DET
ejpam-6994	239	8	mean	mean	ADJ
ejpam-6994	239	9	waiting	waiting	NOUN
ejpam-6994	239	10	times	time	NOUN
ejpam-6994	239	11	for	for	ADP
ejpam-6994	239	12	technical	technical	ADJ
ejpam-6994	239	13	support	support	NOUN
ejpam-6994	239	14	(	(	PUNCT
ejpam-6994	239	15	68.2	68.2	NUM
ejpam-6994	239	16	sec	sec	PROPN
ejpam-6994	239	17	)	)	PUNCT
ejpam-6994	239	18	and	and	CCONJ
ejpam-6994	239	19	administrative	administrative	ADJ
ejpam-6994	239	20	calls	call	NOUN
ejpam-6994	239	21	(	(	PUNCT
ejpam-6994	239	22	66.9	66.9	NUM
ejpam-6994	239	23	sec	sec	NOUN
ejpam-6994	239	24	)	)	PUNCT
ejpam-6994	239	25	differ	differ	VERB
ejpam-6994	239	26	by	by	ADP
ejpam-6994	239	27	only	only	ADV
ejpam-6994	239	28	1.3	1.3	NUM
ejpam-6994	239	29	seconds	second	NOUN
ejpam-6994	239	30	(	(	PUNCT
ejpam-6994	239	31	1.9	1.9	NUM
ejpam-6994	239	32	%	%	NOUN
ejpam-6994	239	33	)	)	PUNCT
ejpam-6994	239	34	,	,	PUNCT
ejpam-6994	239	35	the	the	DET
ejpam-6994	239	36	dlt	dlt	PROPN
ejpam-6994	239	37	values	value	NOUN
ejpam-6994	239	38	(	(	PUNCT
ejpam-6994	239	39	3.545	3.545	NUM
ejpam-6994	239	40	vs.	vs.	ADP
ejpam-6994	239	41	3.503	3.503	NUM
ejpam-6994	239	42	at	at	ADP
ejpam-6994	239	43	s	s	NOUN
ejpam-6994	239	44	=	=	NOUN
ejpam-6994	239	45	0.1	0.1	NUM
ejpam-6994	239	46	)	)	PUNCT
ejpam-6994	239	47	reveal	reveal	VERB
ejpam-6994	239	48	a	a	DET
ejpam-6994	239	49	relative	relative	ADJ
ejpam-6994	239	50	difference	difference	NOUN
ejpam-6994	239	51	of	of	ADP
ejpam-6994	239	52	1.2	1.2	NUM
ejpam-6994	239	53	%	%	NOUN
ejpam-6994	239	54	.	.	PUNCT
ejpam-6994	240	1	more	more	ADV
ejpam-6994	240	2	importantly	importantly	ADV
ejpam-6994	240	3	,	,	PUNCT
ejpam-6994	240	4	the	the	DET
ejpam-6994	240	5	hazard	hazard	NOUN
ejpam-6994	240	6	rate	rate	NOUN
ejpam-6994	240	7	at	at	ADP
ejpam-6994	240	8	t	t	NOUN
ejpam-6994	240	9	=	=	SYM
ejpam-6994	240	10	1	1	NUM
ejpam-6994	240	11	reverses	reverse	VERB
ejpam-6994	240	12	the	the	DET
ejpam-6994	240	13	ranking	ranking	NOUN
ejpam-6994	240	14	:	:	PUNCT
ejpam-6994	240	15	hx(1	hx(1	NOUN
ejpam-6994	240	16	)	)	PUNCT
ejpam-6994	240	17	=	=	SYM
ejpam-6994	240	18	0.182	0.182	NUM
ejpam-6994	240	19	<	<	X
ejpam-6994	240	20	hy	hy	X
ejpam-6994	240	21	(	(	PUNCT
ejpam-6994	240	22	1	1	NUM
ejpam-6994	240	23	)	)	PUNCT
ejpam-6994	240	24	=	=	NOUN
ejpam-6994	240	25	0.191	0.191	NUM
ejpam-6994	240	26	,	,	PUNCT
ejpam-6994	240	27	suggesting	suggest	VERB
ejpam-6994	240	28	that	that	SCONJ
ejpam-6994	240	29	technical	technical	ADJ
ejpam-6994	240	30	support	support	NOUN
ejpam-6994	240	31	appears	appear	VERB
ejpam-6994	240	32	more	more	ADV
ejpam-6994	240	33	reliable	reliable	ADJ
ejpam-6994	240	34	in	in	ADP
ejpam-6994	240	35	the	the	DET
ejpam-6994	240	36	short	short	ADJ
ejpam-6994	240	37	term	term	NOUN
ejpam-6994	240	38	—	—	PUNCT
ejpam-6994	240	39	a	a	DET
ejpam-6994	240	40	misleading	misleading	ADJ
ejpam-6994	240	41	conclusion	conclusion	NOUN
ejpam-6994	240	42	given	give	VERB
ejpam-6994	240	43	its	its	PRON
ejpam-6994	240	44	heavier	heavy	ADJ
ejpam-6994	240	45	tail	tail	NOUN
ejpam-6994	240	46	.	.	PUNCT
ejpam-6994	241	1	the	the	DET
ejpam-6994	241	2	dlt	dlt	PROPN
ejpam-6994	241	3	-	-	PUNCT
ejpam-6994	241	4	order	order	NOUN
ejpam-6994	241	5	correctly	correctly	ADV
ejpam-6994	241	6	identifies	identify	VERB
ejpam-6994	241	7	technical	technical	ADJ
ejpam-6994	241	8	support	support	NOUN
ejpam-6994	241	9	as	as	ADP
ejpam-6994	241	10	the	the	DET
ejpam-6994	241	11	worse	bad	ADJ
ejpam-6994	241	12	performer	performer	NOUN
ejpam-6994	241	13	by	by	ADP
ejpam-6994	241	14	integrating	integrate	VERB
ejpam-6994	241	15	information	information	NOUN
ejpam-6994	241	16	across	across	ADP
ejpam-6994	241	17	all	all	DET
ejpam-6994	241	18	time	time	NOUN
ejpam-6994	241	19	scales	scale	NOUN
ejpam-6994	241	20	.	.	PUNCT
ejpam-6994	242	1	5.6	5.6	NUM
ejpam-6994	242	2	.	.	PUNCT
ejpam-6994	243	1	a	a	DET
ejpam-6994	243	2	theoretical	theoretical	ADJ
ejpam-6994	243	3	comparison	comparison	NOUN
ejpam-6994	243	4	and	and	CCONJ
ejpam-6994	243	5	hierarchical	hierarchical	ADJ
ejpam-6994	243	6	position	position	NOUN
ejpam-6994	243	7	we	we	PRON
ejpam-6994	243	8	define	define	VERB
ejpam-6994	243	9	a	a	DET
ejpam-6994	243	10	hierarchy	hierarchy	NOUN
ejpam-6994	243	11	of	of	ADP
ejpam-6994	243	12	partial	partial	ADJ
ejpam-6994	243	13	orders	order	NOUN
ejpam-6994	243	14	to	to	PART
ejpam-6994	243	15	place	place	VERB
ejpam-6994	243	16	the	the	DET
ejpam-6994	243	17	dlt	dlt	PROPN
ejpam-6994	243	18	order	order	NOUN
ejpam-6994	243	19	in	in	ADP
ejpam-6994	243	20	the	the	DET
ejpam-6994	243	21	context	context	NOUN
ejpam-6994	243	22	of	of	ADP
ejpam-6994	243	23	discrete	discrete	ADJ
ejpam-6994	243	24	stochastic	stochastic	NOUN
ejpam-6994	243	25	orders	order	NOUN
ejpam-6994	243	26	table	table	NOUN
ejpam-6994	243	27	5	5	NUM
ejpam-6994	243	28	:	:	PUNCT
ejpam-6994	243	29	comparison	comparison	NOUN
ejpam-6994	243	30	of	of	ADP
ejpam-6994	243	31	classical	classical	ADJ
ejpam-6994	243	32	stochastic	stochastic	ADJ
ejpam-6994	243	33	orders	order	NOUN
ejpam-6994	243	34	with	with	ADP
ejpam-6994	243	35	the	the	DET
ejpam-6994	243	36	dlt	dlt	PROPN
ejpam-6994	243	37	-	-	PUNCT
ejpam-6994	243	38	order	order	NOUN
ejpam-6994	243	39	.	.	PUNCT
ejpam-6994	244	1	property	property	NOUN
ejpam-6994	244	2	likelihood	likelihood	NOUN
ejpam-6994	244	3	ratio	ratio	NOUN
ejpam-6994	244	4	order	order	NOUN
ejpam-6994	244	5	hazard	hazard	NOUN
ejpam-6994	244	6	rate	rate	NOUN
ejpam-6994	244	7	order	order	NOUN
ejpam-6994	244	8	dlt	dlt	NOUN
ejpam-6994	244	9	-	-	PUNCT
ejpam-6994	244	10	order	order	NOUN
ejpam-6994	244	11	requires	require	VERB
ejpam-6994	244	12	log	log	NOUN
ejpam-6994	244	13	-	-	PUNCT
ejpam-6994	244	14	concavity	concavity	NOUN
ejpam-6994	245	1	yes	yes	INTJ
ejpam-6994	245	2	yes	yes	INTJ
ejpam-6994	246	1	no	no	DET
ejpam-6994	246	2	captures	capture	NOUN
ejpam-6994	246	3	tail	tail	NOUN
ejpam-6994	246	4	effects	effect	NOUN
ejpam-6994	246	5	partial	partial	ADJ
ejpam-6994	246	6	weak	weak	ADJ
ejpam-6994	246	7	strong	strong	ADJ
ejpam-6994	246	8	closure	closure	NOUN
ejpam-6994	246	9	under	under	ADP
ejpam-6994	246	10	mixture	mixture	NOUN
ejpam-6994	247	1	no	no	INTJ
ejpam-6994	247	2	no	no	INTJ
ejpam-6994	247	3	yes	yes	INTJ
ejpam-6994	248	1	closure	closure	NOUN
ejpam-6994	248	2	under	under	ADP
ejpam-6994	248	3	convolution	convolution	NOUN
ejpam-6994	249	1	no	no	INTJ
ejpam-6994	250	1	no	no	INTJ
ejpam-6994	250	2	yes	yes	INTJ
ejpam-6994	250	3	this	this	DET
ejpam-6994	250	4	histogram	histogram	NOUN
ejpam-6994	250	5	represents	represent	VERB
ejpam-6994	250	6	the	the	DET
ejpam-6994	250	7	distribution	distribution	NOUN
ejpam-6994	250	8	of	of	ADP
ejpam-6994	250	9	bootstrapped	bootstrapped	NOUN
ejpam-6994	250	10	mean	mean	VERB
ejpam-6994	250	11	differences	difference	NOUN
ejpam-6994	250	12	in	in	ADP
ejpam-6994	250	13	dlt	dlt	PROPN
ejpam-6994	250	14	values	value	NOUN
ejpam-6994	250	15	at	at	ADP
ejpam-6994	250	16	s	s	NOUN
ejpam-6994	250	17	=	=	NOUN
ejpam-6994	250	18	0	0	PROPN
ejpam-6994	250	19	.	.	PUNCT
ejpam-6994	250	20	a.	a.	NOUN
ejpam-6994	250	21	a.	a.	PROPN
ejpam-6994	250	22	shokeralla	shokeralla	PROPN
ejpam-6994	250	23	/	/	SYM
ejpam-6994	250	24	eur	eur	PROPN
ejpam-6994	250	25	.	.	PUNCT
ejpam-6994	251	1	j.	j.	PROPN
ejpam-6994	251	2	pure	pure	PROPN
ejpam-6994	251	3	appl	appl	PROPN
ejpam-6994	251	4	.	.	PROPN
ejpam-6994	251	5	math	math	PROPN
ejpam-6994	251	6	,	,	PUNCT
ejpam-6994	251	7	18	18	NUM
ejpam-6994	251	8	(	(	PUNCT
ejpam-6994	251	9	4	4	NUM
ejpam-6994	251	10	)	)	PUNCT
ejpam-6994	251	11	(	(	PUNCT
ejpam-6994	251	12	2025	2025	NUM
ejpam-6994	251	13	)	)	PUNCT
ejpam-6994	251	14	,	,	PUNCT
ejpam-6994	251	15	6994	6994	NUM
ejpam-6994	251	16	16	16	NUM
ejpam-6994	251	17	of	of	ADP
ejpam-6994	251	18	22	22	NUM
ejpam-6994	251	19	figure	figure	NOUN
ejpam-6994	251	20	7	7	NUM
ejpam-6994	251	21	:	:	PUNCT
ejpam-6994	251	22	bootstrap	bootstrap	NOUN
ejpam-6994	251	23	distribution	distribution	NOUN
ejpam-6994	251	24	of	of	ADP
ejpam-6994	251	25	dlt	dlt	PROPN
ejpam-6994	251	26	difference	difference	NOUN
ejpam-6994	251	27	.	.	PUNCT
ejpam-6994	252	1	5.7	5.7	X
ejpam-6994	252	2	.	.	PUNCT
ejpam-6994	253	1	robustness	robustness	NOUN
ejpam-6994	253	2	tests	test	NOUN
ejpam-6994	253	3	we	we	PRON
ejpam-6994	253	4	demonstrate	demonstrate	VERB
ejpam-6994	253	5	consistent	consistent	ADJ
ejpam-6994	253	6	dlt	dlt	PROPN
ejpam-6994	253	7	-	-	PUNCT
ejpam-6994	253	8	ordering	order	VERB
ejpam-6994	253	9	patterns	pattern	NOUN
ejpam-6994	253	10	using	use	VERB
ejpam-6994	253	11	bootstrapping	bootstrappe	VERB
ejpam-6994	253	12	and	and	CCONJ
ejpam-6994	253	13	outlier	outlier	ADJ
ejpam-6994	253	14	exclusion	exclusion	NOUN
ejpam-6994	253	15	as	as	ADP
ejpam-6994	253	16	robustness	robustness	NOUN
ejpam-6994	253	17	tests	test	NOUN
ejpam-6994	253	18	,	,	PUNCT
ejpam-6994	253	19	while	while	SCONJ
ejpam-6994	253	20	subtler	subtle	ADJ
ejpam-6994	253	21	rankings	ranking	NOUN
ejpam-6994	253	22	may	may	AUX
ejpam-6994	253	23	not	not	PART
ejpam-6994	253	24	be	be	AUX
ejpam-6994	253	25	robust	robust	ADJ
ejpam-6994	253	26	to	to	ADP
ejpam-6994	253	27	sampling	sample	VERB
ejpam-6994	253	28	fluctuations	fluctuation	NOUN
ejpam-6994	253	29	.	.	PUNCT
ejpam-6994	254	1	5.8	5.8	NUM
ejpam-6994	254	2	.	.	PUNCT
ejpam-6994	254	3	comparative	comparative	ADJ
ejpam-6994	254	4	results	result	NOUN
ejpam-6994	254	5	:	:	PUNCT
ejpam-6994	254	6	simulation	simulation	NOUN
ejpam-6994	254	7	study	study	NOUN
ejpam-6994	254	8	to	to	PART
ejpam-6994	254	9	compare	compare	VERB
ejpam-6994	254	10	the	the	DET
ejpam-6994	254	11	discriminative	discriminative	NOUN
ejpam-6994	254	12	power	power	NOUN
ejpam-6994	254	13	of	of	ADP
ejpam-6994	254	14	the	the	DET
ejpam-6994	254	15	dlt	dlt	PROPN
ejpam-6994	254	16	-	-	PUNCT
ejpam-6994	254	17	order	order	NOUN
ejpam-6994	254	18	with	with	ADP
ejpam-6994	254	19	classical	classical	ADJ
ejpam-6994	254	20	orders	order	NOUN
ejpam-6994	254	21	,	,	PUNCT
ejpam-6994	254	22	a	a	DET
ejpam-6994	254	23	controlled	control	VERB
ejpam-6994	254	24	simulation	simulation	NOUN
ejpam-6994	254	25	was	be	AUX
ejpam-6994	254	26	conducted	conduct	VERB
ejpam-6994	254	27	using	use	VERB
ejpam-6994	254	28	geometric	geometric	ADJ
ejpam-6994	254	29	distributions	distribution	NOUN
ejpam-6994	254	30	with	with	ADP
ejpam-6994	254	31	p	p	PROPN
ejpam-6994	254	32	∈	∈	PROPN
ejpam-6994	254	33	{	{	PUNCT
ejpam-6994	254	34	0.1	0.1	NUM
ejpam-6994	254	35	,	,	PUNCT
ejpam-6994	254	36	0.15	0.15	NUM
ejpam-6994	254	37	,	,	PUNCT
ejpam-6994	254	38	0.2	0.2	NUM
ejpam-6994	254	39	,	,	PUNCT
ejpam-6994	254	40	0.25	0.25	NUM
ejpam-6994	254	41	,	,	PUNCT
ejpam-6994	254	42	0.3	0.3	NUM
ejpam-6994	254	43	}	}	PUNCT
ejpam-6994	254	44	.	.	PUNCT
ejpam-6994	255	1	for	for	ADP
ejpam-6994	255	2	each	each	DET
ejpam-6994	255	3	pair	pair	NOUN
ejpam-6994	255	4	of	of	ADP
ejpam-6994	255	5	distributions	distribution	NOUN
ejpam-6994	255	6	,	,	PUNCT
ejpam-6994	255	7	three	three	NUM
ejpam-6994	255	8	indicators	indicator	NOUN
ejpam-6994	255	9	were	be	AUX
ejpam-6994	255	10	compared	compare	VERB
ejpam-6994	255	11	:	:	PUNCT
ejpam-6994	255	12	•	•	ADP
ejpam-6994	255	13	the	the	DET
ejpam-6994	255	14	dlt	dlt	PROPN
ejpam-6994	255	15	-	-	PUNCT
ejpam-6994	255	16	order	order	NOUN
ejpam-6994	255	17	at	at	ADP
ejpam-6994	255	18	s	s	NOUN
ejpam-6994	255	19	=	=	SYM
ejpam-6994	255	20	0.5	0.5	NUM
ejpam-6994	255	21	,	,	PUNCT
ejpam-6994	255	22	•	•	NOUN
ejpam-6994	255	23	the	the	DET
ejpam-6994	255	24	mean	mean	ADJ
ejpam-6994	255	25	waiting	waiting	NOUN
ejpam-6994	255	26	time	time	NOUN
ejpam-6994	255	27	,	,	PUNCT
ejpam-6994	255	28	•	•	ADP
ejpam-6994	255	29	the	the	DET
ejpam-6994	255	30	hazard	hazard	NOUN
ejpam-6994	255	31	rate	rate	NOUN
ejpam-6994	255	32	at	at	ADP
ejpam-6994	255	33	time	time	NOUN
ejpam-6994	255	34	t	t	NOUN
ejpam-6994	255	35	=	=	SYM
ejpam-6994	255	36	1	1	X
ejpam-6994	255	37	.	.	PUNCT
ejpam-6994	256	1	the	the	DET
ejpam-6994	256	2	results	result	NOUN
ejpam-6994	256	3	in	in	ADP
ejpam-6994	256	4	table	table	NOUN
ejpam-6994	256	5	6	6	NUM
ejpam-6994	256	6	indicate	indicate	VERB
ejpam-6994	256	7	that	that	SCONJ
ejpam-6994	256	8	this	this	DET
ejpam-6994	256	9	approach	approach	NOUN
ejpam-6994	256	10	yields	yield	VERB
ejpam-6994	256	11	alignment	alignment	NOUN
ejpam-6994	256	12	between	between	ADP
ejpam-6994	256	13	mean	mean	NOUN
ejpam-6994	256	14	-	-	PUNCT
ejpam-6994	256	15	based	base	VERB
ejpam-6994	256	16	ordering	ordering	NOUN
ejpam-6994	256	17	and	and	CCONJ
ejpam-6994	256	18	dlt	dlt	PROPN
ejpam-6994	256	19	-	-	PUNCT
ejpam-6994	256	20	ordering	ordering	NOUN
ejpam-6994	256	21	,	,	PUNCT
ejpam-6994	256	22	where	where	SCONJ
ejpam-6994	256	23	cases	case	NOUN
ejpam-6994	256	24	with	with	ADP
ejpam-6994	256	25	dlt1	dlt1	NOUN
ejpam-6994	256	26	>	>	X
ejpam-6994	257	1	dlt2	dlt2	PROPN
ejpam-6994	257	2	are	be	AUX
ejpam-6994	257	3	always	always	ADV
ejpam-6994	257	4	associated	associate	VERB
ejpam-6994	257	5	with	with	ADP
ejpam-6994	257	6	greater	great	ADJ
ejpam-6994	257	7	mean	mean	ADJ
ejpam-6994	257	8	waiting	waiting	NOUN
ejpam-6994	257	9	times	time	NOUN
ejpam-6994	257	10	.	.	PUNCT
ejpam-6994	258	1	conversely	conversely	ADV
ejpam-6994	258	2	,	,	PUNCT
ejpam-6994	258	3	the	the	DET
ejpam-6994	258	4	hazard	hazard	NOUN
ejpam-6994	258	5	rate	rate	NOUN
ejpam-6994	258	6	order	order	NOUN
ejpam-6994	258	7	systematically	systematically	ADV
ejpam-6994	258	8	reversed	reverse	VERB
ejpam-6994	258	9	the	the	DET
ejpam-6994	258	10	ranking	ranking	NOUN
ejpam-6994	258	11	,	,	PUNCT
ejpam-6994	258	12	such	such	ADJ
ejpam-6994	258	13	that	that	SCONJ
ejpam-6994	258	14	distributions	distribution	NOUN
ejpam-6994	258	15	with	with	ADP
ejpam-6994	258	16	longer	long	ADV
ejpam-6994	258	17	waiting	wait	VERB
ejpam-6994	258	18	times	time	NOUN
ejpam-6994	258	19	appeared	appear	VERB
ejpam-6994	258	20	more	more	ADV
ejpam-6994	258	21	favorable	favorable	ADJ
ejpam-6994	258	22	(	(	PUNCT
ejpam-6994	258	23	i.e.	i.e.	X
ejpam-6994	258	24	,	,	PUNCT
ejpam-6994	258	25	lower	low	ADJ
ejpam-6994	258	26	hazard	hazard	NOUN
ejpam-6994	258	27	)	)	PUNCT
ejpam-6994	258	28	.	.	PUNCT
ejpam-6994	259	1	this	this	DET
ejpam-6994	259	2	discrepancy	discrepancy	NOUN
ejpam-6994	259	3	illustrates	illustrate	VERB
ejpam-6994	259	4	a	a	DET
ejpam-6994	259	5	fundamental	fundamental	ADJ
ejpam-6994	259	6	limitation	limitation	NOUN
ejpam-6994	259	7	inherent	inherent	ADJ
ejpam-6994	259	8	in	in	ADP
ejpam-6994	259	9	pointwise	pointwise	ADJ
ejpam-6994	259	10	comparisons	comparison	NOUN
ejpam-6994	259	11	of	of	ADP
ejpam-6994	259	12	hazard	hazard	NOUN
ejpam-6994	259	13	rates	rate	NOUN
ejpam-6994	259	14	.	.	PUNCT
ejpam-6994	260	1	specifically	specifically	ADV
ejpam-6994	260	2	,	,	PUNCT
ejpam-6994	260	3	such	such	ADJ
ejpam-6994	260	4	analyses	analysis	NOUN
ejpam-6994	260	5	may	may	AUX
ejpam-6994	260	6	lose	lose	VERB
ejpam-6994	260	7	information	information	NOUN
ejpam-6994	260	8	regarding	regard	VERB
ejpam-6994	260	9	cumulative	cumulative	ADJ
ejpam-6994	260	10	delay	delay	NOUN
ejpam-6994	260	11	features	feature	NOUN
ejpam-6994	260	12	,	,	PUNCT
ejpam-6994	260	13	a	a	DET
ejpam-6994	260	14	phenomenon	phenomenon	NOUN
ejpam-6994	260	15	especially	especially	ADV
ejpam-6994	260	16	pronounced	pronounce	VERB
ejpam-6994	260	17	when	when	SCONJ
ejpam-6994	260	18	distributions	distribution	NOUN
ejpam-6994	260	19	are	be	AUX
ejpam-6994	260	20	skewed	skewed	ADJ
ejpam-6994	260	21	or	or	CCONJ
ejpam-6994	260	22	heavy	heavy	ADV
ejpam-6994	260	23	-	-	PUNCT
ejpam-6994	260	24	tailed	tailed	ADJ
ejpam-6994	260	25	.	.	PUNCT
ejpam-6994	261	1	the	the	DET
ejpam-6994	261	2	dlt	dlt	PROPN
ejpam-6994	261	3	-	-	PUNCT
ejpam-6994	261	4	order	order	NOUN
ejpam-6994	261	5	,	,	PUNCT
ejpam-6994	261	6	which	which	PRON
ejpam-6994	261	7	calculates	calculate	VERB
ejpam-6994	261	8	the	the	DET
ejpam-6994	261	9	weighted	weight	VERB
ejpam-6994	261	10	residual	residual	ADJ
ejpam-6994	261	11	life	life	NOUN
ejpam-6994	261	12	over	over	ADP
ejpam-6994	261	13	the	the	DET
ejpam-6994	261	14	distribution	distribution	NOUN
ejpam-6994	261	15	,	,	PUNCT
ejpam-6994	261	16	provides	provide	VERB
ejpam-6994	261	17	a	a	DET
ejpam-6994	261	18	more	more	ADV
ejpam-6994	261	19	accurate	accurate	ADJ
ejpam-6994	261	20	and	and	CCONJ
ejpam-6994	261	21	consistent	consistent	ADJ
ejpam-6994	261	22	reference	reference	NOUN
ejpam-6994	261	23	for	for	ADP
ejpam-6994	261	24	comparing	compare	VERB
ejpam-6994	261	25	service	service	NOUN
ejpam-6994	261	26	times	time	NOUN
ejpam-6994	261	27	and	and	CCONJ
ejpam-6994	261	28	dynamics	dynamic	NOUN
ejpam-6994	261	29	in	in	ADP
ejpam-6994	261	30	discrete	discrete	ADJ
ejpam-6994	261	31	systems	system	NOUN
ejpam-6994	261	32	.	.	PUNCT
ejpam-6994	262	1	this	this	DET
ejpam-6994	262	2	histogram	histogram	NOUN
ejpam-6994	262	3	illustrates	illustrate	VERB
ejpam-6994	262	4	the	the	DET
ejpam-6994	262	5	direction	direction	NOUN
ejpam-6994	262	6	of	of	ADP
ejpam-6994	262	7	pairwise	pairwise	NOUN
ejpam-6994	262	8	comparisons	comparison	NOUN
ejpam-6994	262	9	for	for	ADP
ejpam-6994	262	10	different	different	ADJ
ejpam-6994	262	11	geometric	geometric	ADJ
ejpam-6994	262	12	distributions	distribution	NOUN
ejpam-6994	262	13	across	across	ADP
ejpam-6994	262	14	varying	vary	VERB
ejpam-6994	262	15	p	p	NOUN
ejpam-6994	262	16	-	-	PUNCT
ejpam-6994	262	17	values	value	NOUN
ejpam-6994	262	18	:	:	PUNCT
ejpam-6994	262	19	a.	a.	NOUN
ejpam-6994	262	20	a.	a.	NOUN
ejpam-6994	262	21	shokeralla	shokeralla	PROPN
ejpam-6994	262	22	/	/	SYM
ejpam-6994	262	23	eur	eur	PROPN
ejpam-6994	262	24	.	.	PUNCT
ejpam-6994	263	1	j.	j.	PROPN
ejpam-6994	263	2	pure	pure	PROPN
ejpam-6994	263	3	appl	appl	PROPN
ejpam-6994	263	4	.	.	PROPN
ejpam-6994	263	5	math	math	PROPN
ejpam-6994	263	6	,	,	PUNCT
ejpam-6994	263	7	18	18	NUM
ejpam-6994	263	8	(	(	PUNCT
ejpam-6994	263	9	4	4	NUM
ejpam-6994	263	10	)	)	PUNCT
ejpam-6994	263	11	(	(	PUNCT
ejpam-6994	263	12	2025	2025	NUM
ejpam-6994	263	13	)	)	PUNCT
ejpam-6994	263	14	,	,	PUNCT
ejpam-6994	263	15	6994	6994	NUM
ejpam-6994	263	16	17	17	NUM
ejpam-6994	263	17	of	of	ADP
ejpam-6994	263	18	22	22	NUM
ejpam-6994	263	19	table	table	NOUN
ejpam-6994	263	20	6	6	NUM
ejpam-6994	263	21	:	:	PUNCT
ejpam-6994	263	22	comparison	comparison	NOUN
ejpam-6994	263	23	of	of	ADP
ejpam-6994	263	24	mean	mean	ADJ
ejpam-6994	263	25	waiting	waiting	NOUN
ejpam-6994	263	26	times	time	NOUN
ejpam-6994	263	27	,	,	PUNCT
ejpam-6994	263	28	dlt	dlt	PROPN
ejpam-6994	263	29	-	-	PUNCT
ejpam-6994	263	30	order	order	NOUN
ejpam-6994	263	31	,	,	PUNCT
ejpam-6994	263	32	and	and	CCONJ
ejpam-6994	263	33	hazard	hazard	NOUN
ejpam-6994	263	34	rate	rate	NOUN
ejpam-6994	263	35	order	order	NOUN
ejpam-6994	263	36	across	across	ADP
ejpam-6994	263	37	simulated	simulated	ADJ
ejpam-6994	263	38	system	system	NOUN
ejpam-6994	263	39	pairs	pair	NOUN
ejpam-6994	263	40	.	.	PUNCT
ejpam-6994	264	1	system	system	NOUN
ejpam-6994	264	2	a	a	DET
ejpam-6994	264	3	system	system	NOUN
ejpam-6994	264	4	b	b	NOUN
ejpam-6994	264	5	mean	mean	ADV
ejpam-6994	264	6	wait	wait	VERB
ejpam-6994	264	7	time	time	NOUN
ejpam-6994	264	8	comparison	comparison	NOUN
ejpam-6994	264	9	dlt	dlt	PROPN
ejpam-6994	264	10	-	-	PUNCT
ejpam-6994	264	11	order	order	NOUN
ejpam-6994	264	12	hazard	hazard	NOUN
ejpam-6994	264	13	rate	rate	NOUN
ejpam-6994	264	14	order	order	NOUN
ejpam-6994	264	15	a1	a1	NOUN
ejpam-6994	264	16	b1	b1	NOUN
ejpam-6994	264	17	a	a	DET
ejpam-6994	264	18	<	<	X
ejpam-6994	264	19	b	b	PROPN
ejpam-6994	264	20	a	a	DET
ejpam-6994	264	21	≤dlt	≤dlt	NUM
ejpam-6994	264	22	b	b	PROPN
ejpam-6994	264	23	a	a	DET
ejpam-6994	264	24	>	>	X
ejpam-6994	264	25	hr	hr	PROPN
ejpam-6994	264	26	b	b	PROPN
ejpam-6994	264	27	a2	a2	PROPN
ejpam-6994	264	28	b2	b2	NOUN
ejpam-6994	264	29	a	a	DET
ejpam-6994	264	30	>	>	X
ejpam-6994	264	31	b	b	PROPN
ejpam-6994	264	32	a	a	DET
ejpam-6994	264	33	≥dlt	≥dlt	PROPN
ejpam-6994	264	34	b	b	PROPN
ejpam-6994	264	35	a	a	DET
ejpam-6994	264	36	<	<	X
ejpam-6994	264	37	hr	hr	PROPN
ejpam-6994	264	38	b	b	PROPN
ejpam-6994	264	39	a3	a3	PROPN
ejpam-6994	264	40	b3	b3	PROPN
ejpam-6994	264	41	a	a	PRON
ejpam-6994	264	42	<	<	X
ejpam-6994	264	43	b	b	PROPN
ejpam-6994	264	44	a	a	DET
ejpam-6994	264	45	≤dlt	≤dlt	NUM
ejpam-6994	264	46	b	b	PROPN
ejpam-6994	264	47	a	a	DET
ejpam-6994	264	48	>	>	X
ejpam-6994	264	49	hr	hr	NOUN
ejpam-6994	264	50	b	b	PROPN
ejpam-6994	264	51	figure	figure	NOUN
ejpam-6994	264	52	8	8	NUM
ejpam-6994	264	53	:	:	PUNCT
ejpam-6994	264	54	comparison	comparison	NOUN
ejpam-6994	264	55	of	of	ADP
ejpam-6994	264	56	dlt	dlt	PROPN
ejpam-6994	264	57	-	-	PUNCT
ejpam-6994	264	58	order	order	NOUN
ejpam-6994	264	59	and	and	CCONJ
ejpam-6994	264	60	hazard	hazard	NOUN
ejpam-6994	264	61	rate	rate	NOUN
ejpam-6994	264	62	order	order	NOUN
ejpam-6994	264	63	.	.	PUNCT
ejpam-6994	265	1	•	•	NUM
ejpam-6994	265	2	each	each	DET
ejpam-6994	265	3	pair	pair	NOUN
ejpam-6994	265	4	of	of	ADP
ejpam-6994	265	5	bars	bar	NOUN
ejpam-6994	265	6	compares	compare	VERB
ejpam-6994	265	7	two	two	NUM
ejpam-6994	265	8	distributions	distribution	NOUN
ejpam-6994	265	9	(	(	PUNCT
ejpam-6994	265	10	e.g.	e.g.	ADV
ejpam-6994	265	11	,	,	PUNCT
ejpam-6994	265	12	p	p	NOUN
ejpam-6994	265	13	=	=	NOUN
ejpam-6994	265	14	0.1	0.1	NUM
ejpam-6994	265	15	and	and	CCONJ
ejpam-6994	265	16	p	p	NOUN
ejpam-6994	265	17	=	=	PROPN
ejpam-6994	265	18	0.15	0.15	NUM
ejpam-6994	265	19	)	)	PUNCT
ejpam-6994	265	20	.	.	PUNCT
ejpam-6994	266	1	•	•	NUM
ejpam-6994	266	2	blue	blue	ADJ
ejpam-6994	266	3	bars	bar	NOUN
ejpam-6994	266	4	(	(	PUNCT
ejpam-6994	266	5	dlt	dlt	PROPN
ejpam-6994	266	6	-	-	PUNCT
ejpam-6994	266	7	order	order	NOUN
ejpam-6994	266	8	)	)	PUNCT
ejpam-6994	266	9	consistently	consistently	ADV
ejpam-6994	266	10	represent	represent	VERB
ejpam-6994	266	11	p1	p1	PROPN
ejpam-6994	266	12	>	>	PUNCT
ejpam-6994	266	13	p2	p2	PROPN
ejpam-6994	266	14	,	,	PUNCT
ejpam-6994	266	15	indicating	indicate	VERB
ejpam-6994	266	16	that	that	SCONJ
ejpam-6994	266	17	the	the	DET
ejpam-6994	266	18	first	first	ADJ
ejpam-6994	266	19	distribution	distribution	NOUN
ejpam-6994	266	20	has	have	VERB
ejpam-6994	266	21	a	a	DET
ejpam-6994	266	22	larger	large	ADJ
ejpam-6994	266	23	residual	residual	ADJ
ejpam-6994	266	24	life	life	NOUN
ejpam-6994	266	25	.	.	PUNCT
ejpam-6994	267	1	•	•	NUM
ejpam-6994	267	2	orange	orange	PROPN
ejpam-6994	267	3	bars	bar	NOUN
ejpam-6994	267	4	(	(	PUNCT
ejpam-6994	267	5	hazard	hazard	NOUN
ejpam-6994	267	6	rate	rate	NOUN
ejpam-6994	267	7	order	order	NOUN
ejpam-6994	267	8	)	)	PUNCT
ejpam-6994	267	9	consistently	consistently	ADV
ejpam-6994	267	10	show	show	VERB
ejpam-6994	267	11	the	the	DET
ejpam-6994	267	12	opposite	opposite	ADJ
ejpam-6994	267	13	ranking	ranking	NOUN
ejpam-6994	267	14	(	(	PUNCT
ejpam-6994	267	15	p1	p1	PROPN
ejpam-6994	267	16	<	<	X
ejpam-6994	267	17	p2	p2	PROPN
ejpam-6994	267	18	)	)	PUNCT
ejpam-6994	267	19	due	due	ADP
ejpam-6994	267	20	to	to	ADP
ejpam-6994	267	21	their	their	PRON
ejpam-6994	267	22	focus	focus	NOUN
ejpam-6994	267	23	on	on	ADP
ejpam-6994	267	24	short	short	ADJ
ejpam-6994	267	25	-	-	PUNCT
ejpam-6994	267	26	term	term	NOUN
ejpam-6994	267	27	failure	failure	NOUN
ejpam-6994	267	28	probabilities	probability	NOUN
ejpam-6994	267	29	.	.	PUNCT
ejpam-6994	268	1	the	the	DET
ejpam-6994	268	2	hazard	hazard	NOUN
ejpam-6994	268	3	rate	rate	NOUN
ejpam-6994	268	4	order	order	NOUN
ejpam-6994	268	5	emphasizes	emphasize	VERB
ejpam-6994	268	6	short	short	ADJ
ejpam-6994	268	7	-	-	PUNCT
ejpam-6994	268	8	term	term	NOUN
ejpam-6994	268	9	instantaneous	instantaneous	ADJ
ejpam-6994	268	10	failure	failure	NOUN
ejpam-6994	268	11	probabilities	probability	NOUN
ejpam-6994	268	12	and	and	CCONJ
ejpam-6994	268	13	thus	thus	ADV
ejpam-6994	268	14	reverses	reverse	VERB
ejpam-6994	268	15	rankings	ranking	NOUN
ejpam-6994	268	16	when	when	SCONJ
ejpam-6994	268	17	distributions	distribution	NOUN
ejpam-6994	268	18	cross	cross	VERB
ejpam-6994	268	19	early	early	ADV
ejpam-6994	268	20	.	.	PUNCT
ejpam-6994	269	1	in	in	ADP
ejpam-6994	269	2	contrast	contrast	NOUN
ejpam-6994	269	3	,	,	PUNCT
ejpam-6994	269	4	the	the	DET
ejpam-6994	269	5	dlt	dlt	PROPN
ejpam-6994	269	6	-	-	PUNCT
ejpam-6994	269	7	order	order	NOUN
ejpam-6994	269	8	aggregates	aggregate	VERB
ejpam-6994	269	9	information	information	NOUN
ejpam-6994	269	10	across	across	ADP
ejpam-6994	269	11	all	all	DET
ejpam-6994	269	12	time	time	NOUN
ejpam-6994	269	13	scales	scale	NOUN
ejpam-6994	269	14	via	via	ADP
ejpam-6994	269	15	exponential	exponential	ADJ
ejpam-6994	269	16	discounting	discounting	NOUN
ejpam-6994	269	17	,	,	PUNCT
ejpam-6994	269	18	ensuring	ensure	VERB
ejpam-6994	269	19	consistent	consistent	ADJ
ejpam-6994	269	20	rankings	ranking	NOUN
ejpam-6994	269	21	even	even	ADV
ejpam-6994	269	22	under	under	ADP
ejpam-6994	269	23	crossing	cross	VERB
ejpam-6994	269	24	survival	survival	NOUN
ejpam-6994	269	25	curves	curve	NOUN
ejpam-6994	269	26	.	.	PUNCT
ejpam-6994	270	1	additional	additional	ADJ
ejpam-6994	270	2	experiments	experiment	NOUN
ejpam-6994	270	3	with	with	ADP
ejpam-6994	270	4	heavy	heavy	ADV
ejpam-6994	270	5	-	-	PUNCT
ejpam-6994	270	6	tailed	tail	VERB
ejpam-6994	270	7	discrete	discrete	ADJ
ejpam-6994	270	8	pareto	pareto	NOUN
ejpam-6994	270	9	distributions	distribution	NOUN
ejpam-6994	270	10	(	(	PUNCT
ejpam-6994	270	11	not	not	PART
ejpam-6994	270	12	shown	show	VERB
ejpam-6994	270	13	here	here	ADV
ejpam-6994	270	14	for	for	ADP
ejpam-6994	270	15	brevity	brevity	NOUN
ejpam-6994	270	16	)	)	PUNCT
ejpam-6994	270	17	produced	produce	VERB
ejpam-6994	270	18	similar	similar	ADJ
ejpam-6994	270	19	dlt	dlt	PROPN
ejpam-6994	270	20	-	-	PUNCT
ejpam-6994	270	21	consistent	consistent	ADJ
ejpam-6994	270	22	results	result	NOUN
ejpam-6994	270	23	,	,	PUNCT
ejpam-6994	270	24	confirming	confirm	VERB
ejpam-6994	270	25	the	the	DET
ejpam-6994	270	26	robustness	robustness	NOUN
ejpam-6994	270	27	of	of	ADP
ejpam-6994	270	28	the	the	DET
ejpam-6994	270	29	proposed	propose	VERB
ejpam-6994	270	30	order	order	NOUN
ejpam-6994	270	31	.	.	PUNCT
ejpam-6994	271	1	6	6	NUM
ejpam-6994	271	2	.	.	X
ejpam-6994	271	3	practical	practical	ADJ
ejpam-6994	271	4	implications	implication	NOUN
ejpam-6994	271	5	dlt	dlt	PROPN
ejpam-6994	271	6	-	-	PUNCT
ejpam-6994	271	7	ordering	ordering	NOUN
ejpam-6994	271	8	provides	provide	VERB
ejpam-6994	271	9	a	a	DET
ejpam-6994	271	10	scalable	scalable	ADJ
ejpam-6994	271	11	and	and	CCONJ
ejpam-6994	271	12	interpretable	interpretable	ADJ
ejpam-6994	271	13	framework	framework	NOUN
ejpam-6994	271	14	to	to	PART
ejpam-6994	271	15	improve	improve	VERB
ejpam-6994	271	16	service	service	NOUN
ejpam-6994	271	17	in	in	ADP
ejpam-6994	271	18	complex	complex	ADJ
ejpam-6994	271	19	discrete	discrete	ADJ
ejpam-6994	271	20	-	-	PUNCT
ejpam-6994	271	21	time	time	NOUN
ejpam-6994	271	22	systems	system	NOUN
ejpam-6994	271	23	under	under	ADP
ejpam-6994	271	24	performance	performance	NOUN
ejpam-6994	271	25	variability	variability	NOUN
ejpam-6994	271	26	.	.	PUNCT
ejpam-6994	272	1	the	the	DET
ejpam-6994	272	2	system	system	NOUN
ejpam-6994	272	3	under	under	ADP
ejpam-6994	272	4	discussion	discussion	NOUN
ejpam-6994	272	5	enables	enable	VERB
ejpam-6994	272	6	the	the	DET
ejpam-6994	272	7	support	support	NOUN
ejpam-6994	272	8	organization	organization	NOUN
ejpam-6994	272	9	to	to	PART
ejpam-6994	272	10	formulate	formulate	VERB
ejpam-6994	272	11	data	datum	NOUN
ejpam-6994	272	12	-	-	PUNCT
ejpam-6994	272	13	driven	drive	VERB
ejpam-6994	272	14	recommendations	recommendation	NOUN
ejpam-6994	272	15	regarding	regard	VERB
ejpam-6994	272	16	personnel	personnel	NOUN
ejpam-6994	272	17	reassignment	reassignment	NOUN
ejpam-6994	272	18	and	and	CCONJ
ejpam-6994	272	19	prioritization	prioritization	NOUN
ejpam-6994	272	20	of	of	ADP
ejpam-6994	272	21	service	service	NOUN
ejpam-6994	272	22	channels	channel	NOUN
ejpam-6994	272	23	with	with	ADP
ejpam-6994	272	24	greater	great	ADJ
ejpam-6994	272	25	residual	residual	ADJ
ejpam-6994	272	26	wait	wait	NOUN
ejpam-6994	272	27	times	time	NOUN
ejpam-6994	272	28	,	,	PUNCT
ejpam-6994	272	29	among	among	ADP
ejpam-6994	272	30	other	other	ADJ
ejpam-6994	272	31	functions	function	NOUN
ejpam-6994	272	32	.	.	PUNCT
ejpam-6994	273	1	for	for	ADP
ejpam-6994	273	2	instance	instance	NOUN
ejpam-6994	273	3	,	,	PUNCT
ejpam-6994	273	4	if	if	SCONJ
ejpam-6994	273	5	technical	technical	ADJ
ejpam-6994	273	6	support	support	NOUN
ejpam-6994	273	7	queues	queue	NOUN
ejpam-6994	273	8	demonstrate	demonstrate	VERB
ejpam-6994	273	9	persistently	persistently	ADV
ejpam-6994	273	10	elevated	elevate	VERB
ejpam-6994	273	11	dlt	dlt	PROPN
ejpam-6994	273	12	values	value	NOUN
ejpam-6994	273	13	,	,	PUNCT
ejpam-6994	273	14	it	it	PRON
ejpam-6994	273	15	may	may	AUX
ejpam-6994	273	16	be	be	AUX
ejpam-6994	273	17	advisable	advisable	ADJ
ejpam-6994	273	18	to	to	PART
ejpam-6994	273	19	allocate	allocate	VERB
ejpam-6994	273	20	additional	additional	ADJ
ejpam-6994	273	21	agents	agent	NOUN
ejpam-6994	273	22	to	to	ADP
ejpam-6994	273	23	these	these	DET
ejpam-6994	273	24	a.	a.	NOUN
ejpam-6994	273	25	a.	a.	NOUN
ejpam-6994	273	26	shokeralla	shokeralla	PROPN
ejpam-6994	273	27	/	/	SYM
ejpam-6994	273	28	eur	eur	PROPN
ejpam-6994	273	29	.	.	PUNCT
ejpam-6994	274	1	j.	j.	PROPN
ejpam-6994	274	2	pure	pure	PROPN
ejpam-6994	274	3	appl	appl	PROPN
ejpam-6994	274	4	.	.	PROPN
ejpam-6994	274	5	math	math	PROPN
ejpam-6994	274	6	,	,	PUNCT
ejpam-6994	274	7	18	18	NUM
ejpam-6994	274	8	(	(	PUNCT
ejpam-6994	274	9	4	4	NUM
ejpam-6994	274	10	)	)	PUNCT
ejpam-6994	274	11	(	(	PUNCT
ejpam-6994	274	12	2025	2025	NUM
ejpam-6994	274	13	)	)	PUNCT
ejpam-6994	274	14	,	,	PUNCT
ejpam-6994	274	15	6994	6994	NUM
ejpam-6994	274	16	18	18	NUM
ejpam-6994	274	17	of	of	ADP
ejpam-6994	274	18	22	22	NUM
ejpam-6994	274	19	queues	queue	NOUN
ejpam-6994	274	20	to	to	PART
ejpam-6994	274	21	maintain	maintain	VERB
ejpam-6994	274	22	target	target	NOUN
ejpam-6994	274	23	service	service	NOUN
ejpam-6994	274	24	levels	level	NOUN
ejpam-6994	274	25	.	.	PUNCT
ejpam-6994	275	1	dlt	dlt	PROPN
ejpam-6994	275	2	levels	level	NOUN
ejpam-6994	275	3	can	can	AUX
ejpam-6994	275	4	also	also	ADV
ejpam-6994	275	5	define	define	VERB
ejpam-6994	275	6	operating	operating	NOUN
ejpam-6994	275	7	thresholds	threshold	NOUN
ejpam-6994	275	8	,	,	PUNCT
ejpam-6994	275	9	including	include	VERB
ejpam-6994	275	10	compliance	compliance	NOUN
ejpam-6994	275	11	with	with	ADP
ejpam-6994	275	12	service	service	NOUN
ejpam-6994	275	13	level	level	NOUN
ejpam-6994	275	14	agreements	agreement	NOUN
ejpam-6994	275	15	(	(	PUNCT
ejpam-6994	275	16	e.g.	e.g.	ADV
ejpam-6994	275	17	,	,	PUNCT
ejpam-6994	275	18	completion	completion	NOUN
ejpam-6994	275	19	≥	≥	NOUN
ejpam-6994	275	20	85	85	NUM
ejpam-6994	275	21	%	%	NOUN
ejpam-6994	275	22	)	)	PUNCT
ejpam-6994	275	23	.	.	PUNCT
ejpam-6994	276	1	nonetheless	nonetheless	ADV
ejpam-6994	276	2	,	,	PUNCT
ejpam-6994	276	3	the	the	DET
ejpam-6994	276	4	implementation	implementation	NOUN
ejpam-6994	276	5	of	of	ADP
ejpam-6994	276	6	dlt	dlt	PROPN
ejpam-6994	276	7	-	-	PUNCT
ejpam-6994	276	8	based	base	VERB
ejpam-6994	276	9	metrics	metric	NOUN
ejpam-6994	276	10	faces	face	VERB
ejpam-6994	276	11	several	several	ADJ
ejpam-6994	276	12	challenges	challenge	NOUN
ejpam-6994	276	13	.	.	PUNCT
ejpam-6994	277	1	these	these	PRON
ejpam-6994	277	2	include	include	VERB
ejpam-6994	277	3	timely	timely	ADJ
ejpam-6994	277	4	access	access	NOUN
ejpam-6994	277	5	to	to	ADP
ejpam-6994	277	6	high	high	ADJ
ejpam-6994	277	7	-	-	PUNCT
ejpam-6994	277	8	resolution	resolution	NOUN
ejpam-6994	277	9	,	,	PUNCT
ejpam-6994	277	10	timestamped	timestamped	ADJ
ejpam-6994	277	11	data	datum	NOUN
ejpam-6994	277	12	,	,	PUNCT
ejpam-6994	277	13	efficient	efficient	ADJ
ejpam-6994	277	14	computation	computation	NOUN
ejpam-6994	277	15	in	in	ADP
ejpam-6994	277	16	large	large	ADJ
ejpam-6994	277	17	systems	system	NOUN
ejpam-6994	277	18	,	,	PUNCT
ejpam-6994	277	19	and	and	CCONJ
ejpam-6994	277	20	dissemination	dissemination	NOUN
ejpam-6994	277	21	of	of	ADP
ejpam-6994	277	22	dlt	dlt	PROPN
ejpam-6994	277	23	information	information	NOUN
ejpam-6994	277	24	to	to	ADP
ejpam-6994	277	25	non	non	ADJ
ejpam-6994	277	26	-	-	ADJ
ejpam-6994	277	27	technical	technical	ADJ
ejpam-6994	277	28	personnel	personnel	NOUN
ejpam-6994	277	29	.	.	PUNCT
ejpam-6994	278	1	tools	tool	NOUN
ejpam-6994	278	2	such	such	ADJ
ejpam-6994	278	3	as	as	ADP
ejpam-6994	278	4	automated	automate	VERB
ejpam-6994	278	5	dashboards	dashboard	NOUN
ejpam-6994	278	6	,	,	PUNCT
ejpam-6994	278	7	visual	visual	ADJ
ejpam-6994	278	8	alerts	alert	NOUN
ejpam-6994	278	9	,	,	PUNCT
ejpam-6994	278	10	and	and	CCONJ
ejpam-6994	278	11	summary	summary	NOUN
ejpam-6994	278	12	indices	index	NOUN
ejpam-6994	278	13	have	have	AUX
ejpam-6994	278	14	been	be	AUX
ejpam-6994	278	15	shown	show	VERB
ejpam-6994	278	16	to	to	PART
ejpam-6994	278	17	facilitate	facilitate	VERB
ejpam-6994	278	18	adoption	adoption	NOUN
ejpam-6994	278	19	.	.	PUNCT
ejpam-6994	279	1	to	to	PART
ejpam-6994	279	2	avoid	avoid	VERB
ejpam-6994	279	3	pitfalls	pitfall	NOUN
ejpam-6994	279	4	of	of	ADP
ejpam-6994	279	5	”	"	PUNCT
ejpam-6994	279	6	automaticity	automaticity	NOUN
ejpam-6994	279	7	”	"	PUNCT
ejpam-6994	279	8	and	and	CCONJ
ejpam-6994	279	9	enable	enable	VERB
ejpam-6994	279	10	real	real	ADJ
ejpam-6994	279	11	-	-	PUNCT
ejpam-6994	279	12	time	time	NOUN
ejpam-6994	279	13	decision	decision	NOUN
ejpam-6994	279	14	-	-	PUNCT
ejpam-6994	279	15	making	making	NOUN
ejpam-6994	279	16	,	,	PUNCT
ejpam-6994	279	17	it	it	PRON
ejpam-6994	279	18	is	be	AUX
ejpam-6994	279	19	imperative	imperative	ADJ
ejpam-6994	279	20	to	to	PART
ejpam-6994	279	21	cultivate	cultivate	VERB
ejpam-6994	279	22	the	the	DET
ejpam-6994	279	23	competencies	competency	NOUN
ejpam-6994	279	24	of	of	ADP
ejpam-6994	279	25	operational	operational	ADJ
ejpam-6994	279	26	leaders	leader	NOUN
ejpam-6994	279	27	in	in	ADP
ejpam-6994	279	28	the	the	DET
ejpam-6994	279	29	interpretation	interpretation	NOUN
ejpam-6994	279	30	and	and	CCONJ
ejpam-6994	279	31	application	application	NOUN
ejpam-6994	279	32	of	of	ADP
ejpam-6994	279	33	dlt	dlt	PROPN
ejpam-6994	279	34	metrics	metric	NOUN
ejpam-6994	279	35	.	.	PUNCT
ejpam-6994	280	1	overall	overall	ADV
ejpam-6994	280	2	,	,	PUNCT
ejpam-6994	280	3	the	the	DET
ejpam-6994	280	4	dlt	dlt	PROPN
ejpam-6994	280	5	-	-	PUNCT
ejpam-6994	280	6	order	order	NOUN
ejpam-6994	280	7	represents	represent	VERB
ejpam-6994	280	8	a	a	DET
ejpam-6994	280	9	significant	significant	ADJ
ejpam-6994	280	10	advancement	advancement	NOUN
ejpam-6994	280	11	in	in	ADP
ejpam-6994	280	12	performance	performance	NOUN
ejpam-6994	280	13	monitoring	monitoring	NOUN
ejpam-6994	280	14	and	and	CCONJ
ejpam-6994	280	15	enhancement	enhancement	NOUN
ejpam-6994	280	16	within	within	ADP
ejpam-6994	280	17	contemporary	contemporary	ADJ
ejpam-6994	280	18	service	service	NOUN
ejpam-6994	280	19	operations	operation	NOUN
ejpam-6994	280	20	.	.	PUNCT
ejpam-6994	281	1	in	in	ADP
ejpam-6994	281	2	operational	operational	ADJ
ejpam-6994	281	3	settings	setting	NOUN
ejpam-6994	281	4	,	,	PUNCT
ejpam-6994	281	5	threshold	threshold	NOUN
ejpam-6994	281	6	targeting	targeting	NOUN
ejpam-6994	281	7	can	can	AUX
ejpam-6994	281	8	be	be	AUX
ejpam-6994	281	9	guided	guide	VERB
ejpam-6994	281	10	by	by	ADP
ejpam-6994	281	11	dlt	dlt	PROPN
ejpam-6994	281	12	scores	score	NOUN
ejpam-6994	281	13	.	.	PUNCT
ejpam-6994	282	1	for	for	ADP
ejpam-6994	282	2	example	example	NOUN
ejpam-6994	282	3	,	,	PUNCT
ejpam-6994	282	4	if	if	SCONJ
ejpam-6994	282	5	dlt	dlt	PROPN
ejpam-6994	282	6	≥	≥	NUM
ejpam-6994	282	7	1.5	1.5	NUM
ejpam-6994	282	8	corresponds	correspond	NOUN
ejpam-6994	282	9	to	to	ADP
ejpam-6994	282	10	the	the	DET
ejpam-6994	282	11	top	top	ADJ
ejpam-6994	282	12	15	15	NUM
ejpam-6994	282	13	%	%	NOUN
ejpam-6994	282	14	of	of	ADP
ejpam-6994	282	15	queues	queue	NOUN
ejpam-6994	282	16	with	with	ADP
ejpam-6994	282	17	prolonged	prolonged	ADJ
ejpam-6994	282	18	waiting	waiting	NOUN
ejpam-6994	282	19	,	,	PUNCT
ejpam-6994	282	20	reassigning	reassign	VERB
ejpam-6994	282	21	additional	additional	ADJ
ejpam-6994	282	22	agents	agent	NOUN
ejpam-6994	282	23	to	to	ADP
ejpam-6994	282	24	these	these	DET
ejpam-6994	282	25	classes	class	NOUN
ejpam-6994	282	26	achieved	achieve	VERB
ejpam-6994	282	27	an	an	DET
ejpam-6994	282	28	18	18	NUM
ejpam-6994	282	29	%	%	NOUN
ejpam-6994	282	30	reduction	reduction	NOUN
ejpam-6994	282	31	in	in	ADP
ejpam-6994	282	32	mean	mean	ADJ
ejpam-6994	282	33	waiting	waiting	NOUN
ejpam-6994	282	34	time	time	NOUN
ejpam-6994	282	35	in	in	ADP
ejpam-6994	282	36	pilot	pilot	NOUN
ejpam-6994	282	37	tests	test	NOUN
ejpam-6994	282	38	.	.	PUNCT
ejpam-6994	283	1	algorithms	algorithm	NOUN
ejpam-6994	283	2	for	for	ADP
ejpam-6994	283	3	dynamic	dynamic	ADJ
ejpam-6994	283	4	agent	agent	NOUN
ejpam-6994	283	5	reallocation	reallocation	NOUN
ejpam-6994	283	6	,	,	PUNCT
ejpam-6994	283	7	such	such	ADJ
ejpam-6994	283	8	as	as	ADP
ejpam-6994	283	9	priority	priority	NOUN
ejpam-6994	283	10	-	-	PUNCT
ejpam-6994	283	11	based	base	VERB
ejpam-6994	283	12	scheduling	scheduling	NOUN
ejpam-6994	283	13	or	or	CCONJ
ejpam-6994	283	14	reinforcement	reinforcement	NOUN
ejpam-6994	283	15	learning	learning	NOUN
ejpam-6994	283	16	-	-	PUNCT
ejpam-6994	283	17	based	base	VERB
ejpam-6994	283	18	queue	queue	NOUN
ejpam-6994	283	19	balancing	balancing	NOUN
ejpam-6994	283	20	,	,	PUNCT
ejpam-6994	283	21	can	can	AUX
ejpam-6994	283	22	incorporate	incorporate	VERB
ejpam-6994	283	23	dlt	dlt	PROPN
ejpam-6994	283	24	metrics	metric	NOUN
ejpam-6994	283	25	as	as	ADP
ejpam-6994	283	26	performance	performance	NOUN
ejpam-6994	283	27	signals	signal	NOUN
ejpam-6994	283	28	directly	directly	ADV
ejpam-6994	283	29	.	.	PUNCT
ejpam-6994	284	1	7	7	X
ejpam-6994	284	2	.	.	X
ejpam-6994	284	3	conclusion	conclusion	NOUN
ejpam-6994	284	4	and	and	CCONJ
ejpam-6994	284	5	future	future	ADJ
ejpam-6994	284	6	work	work	NOUN
ejpam-6994	284	7	summary	summary	NOUN
ejpam-6994	284	8	of	of	ADP
ejpam-6994	284	9	contributions	contribution	NOUN
ejpam-6994	284	10	this	this	DET
ejpam-6994	284	11	paper	paper	NOUN
ejpam-6994	284	12	introduced	introduce	VERB
ejpam-6994	284	13	the	the	DET
ejpam-6994	284	14	novel	novel	ADJ
ejpam-6994	284	15	concept	concept	NOUN
ejpam-6994	284	16	of	of	ADP
ejpam-6994	284	17	order	order	NOUN
ejpam-6994	284	18	comparison	comparison	NOUN
ejpam-6994	284	19	among	among	ADP
ejpam-6994	284	20	discrete	discrete	ADJ
ejpam-6994	284	21	-	-	PUNCT
ejpam-6994	284	22	time	time	NOUN
ejpam-6994	284	23	residual	residual	ADJ
ejpam-6994	284	24	life	life	NOUN
ejpam-6994	284	25	distributions	distribution	NOUN
ejpam-6994	284	26	based	base	VERB
ejpam-6994	284	27	on	on	ADP
ejpam-6994	284	28	the	the	DET
ejpam-6994	284	29	discrete	discrete	ADJ
ejpam-6994	284	30	laplace	laplace	NOUN
ejpam-6994	284	31	transform	transform	NOUN
ejpam-6994	284	32	(	(	PUNCT
ejpam-6994	284	33	dlt	dlt	PROPN
ejpam-6994	284	34	)	)	PUNCT
ejpam-6994	284	35	.	.	PUNCT
ejpam-6994	285	1	we	we	PRON
ejpam-6994	285	2	established	establish	VERB
ejpam-6994	285	3	its	its	PRON
ejpam-6994	285	4	mathematical	mathematical	ADJ
ejpam-6994	285	5	properties	property	NOUN
ejpam-6994	285	6	,	,	PUNCT
ejpam-6994	285	7	including	include	VERB
ejpam-6994	285	8	reflexivity	reflexivity	NOUN
ejpam-6994	285	9	,	,	PUNCT
ejpam-6994	285	10	transitivity	transitivity	NOUN
ejpam-6994	285	11	,	,	PUNCT
ejpam-6994	285	12	monotonicity	monotonicity	NOUN
ejpam-6994	285	13	,	,	PUNCT
ejpam-6994	285	14	and	and	CCONJ
ejpam-6994	285	15	closedness	closedness	ADJ
ejpam-6994	285	16	under	under	ADP
ejpam-6994	285	17	convolution	convolution	NOUN
ejpam-6994	285	18	and	and	CCONJ
ejpam-6994	285	19	mixtures	mixture	NOUN
ejpam-6994	285	20	,	,	PUNCT
ejpam-6994	285	21	and	and	CCONJ
ejpam-6994	285	22	demonstrated	demonstrate	VERB
ejpam-6994	285	23	how	how	SCONJ
ejpam-6994	285	24	it	it	PRON
ejpam-6994	285	25	improves	improve	VERB
ejpam-6994	285	26	upon	upon	SCONJ
ejpam-6994	285	27	classical	classical	ADJ
ejpam-6994	285	28	stochastic	stochastic	ADJ
ejpam-6994	285	29	orders	order	NOUN
ejpam-6994	285	30	.	.	PUNCT
ejpam-6994	286	1	on	on	ADP
ejpam-6994	286	2	the	the	DET
ejpam-6994	286	3	empirical	empirical	ADJ
ejpam-6994	286	4	side	side	NOUN
ejpam-6994	286	5	,	,	PUNCT
ejpam-6994	286	6	we	we	PRON
ejpam-6994	286	7	applied	apply	VERB
ejpam-6994	286	8	the	the	DET
ejpam-6994	286	9	dlt	dlt	PROPN
ejpam-6994	286	10	-	-	PUNCT
ejpam-6994	286	11	order	order	NOUN
ejpam-6994	286	12	to	to	PART
ejpam-6994	286	13	real	real	ADJ
ejpam-6994	286	14	call	call	NOUN
ejpam-6994	286	15	center	center	NOUN
ejpam-6994	286	16	data	datum	NOUN
ejpam-6994	286	17	,	,	PUNCT
ejpam-6994	286	18	showing	show	VERB
ejpam-6994	286	19	that	that	SCONJ
ejpam-6994	286	20	it	it	PRON
ejpam-6994	286	21	identifies	identify	VERB
ejpam-6994	286	22	fine	fine	ADV
ejpam-6994	286	23	-	-	PUNCT
ejpam-6994	286	24	grained	grain	VERB
ejpam-6994	286	25	distributional	distributional	ADJ
ejpam-6994	286	26	distinctions	distinction	NOUN
ejpam-6994	286	27	in	in	ADP
ejpam-6994	286	28	waiting	waiting	NOUN
ejpam-6994	286	29	times	time	NOUN
ejpam-6994	286	30	between	between	ADP
ejpam-6994	286	31	service	service	NOUN
ejpam-6994	286	32	types	type	NOUN
ejpam-6994	286	33	.	.	PUNCT
ejpam-6994	287	1	unlike	unlike	ADP
ejpam-6994	287	2	mean	mean	ADV
ejpam-6994	287	3	-	-	PUNCT
ejpam-6994	287	4	based	base	VERB
ejpam-6994	287	5	and	and	CCONJ
ejpam-6994	287	6	parametric	parametric	ADJ
ejpam-6994	287	7	tests	test	NOUN
ejpam-6994	287	8	,	,	PUNCT
ejpam-6994	287	9	the	the	DET
ejpam-6994	287	10	dlt	dlt	PROPN
ejpam-6994	287	11	-	-	PUNCT
ejpam-6994	287	12	order	order	NOUN
ejpam-6994	287	13	characterizes	characterize	VERB
ejpam-6994	287	14	tail	tail	NOUN
ejpam-6994	287	15	distributions	distribution	NOUN
ejpam-6994	287	16	,	,	PUNCT
ejpam-6994	287	17	which	which	PRON
ejpam-6994	287	18	are	be	AUX
ejpam-6994	287	19	more	more	ADV
ejpam-6994	287	20	relevant	relevant	ADJ
ejpam-6994	287	21	to	to	ADP
ejpam-6994	287	22	operational	operational	ADJ
ejpam-6994	287	23	requirements	requirement	NOUN
ejpam-6994	287	24	.	.	PUNCT
ejpam-6994	288	1	these	these	DET
ejpam-6994	288	2	findings	finding	NOUN
ejpam-6994	288	3	provide	provide	VERB
ejpam-6994	288	4	actionable	actionable	ADJ
ejpam-6994	288	5	insights	insight	NOUN
ejpam-6994	288	6	for	for	ADP
ejpam-6994	288	7	resource	resource	NOUN
ejpam-6994	288	8	planning	planning	NOUN
ejpam-6994	288	9	,	,	PUNCT
ejpam-6994	288	10	service	service	NOUN
ejpam-6994	288	11	threshold	threshold	NOUN
ejpam-6994	288	12	schedules	schedule	NOUN
ejpam-6994	288	13	,	,	PUNCT
ejpam-6994	288	14	and	and	CCONJ
ejpam-6994	288	15	agent	agent	NOUN
ejpam-6994	288	16	assignment	assignment	NOUN
ejpam-6994	288	17	strategies	strategy	NOUN
ejpam-6994	288	18	.	.	PUNCT
ejpam-6994	289	1	limitations	limitation	NOUN
ejpam-6994	289	2	and	and	CCONJ
ejpam-6994	289	3	future	future	ADJ
ejpam-6994	289	4	work	work	NOUN
ejpam-6994	289	5	although	although	SCONJ
ejpam-6994	289	6	the	the	DET
ejpam-6994	289	7	dlt	dlt	PROPN
ejpam-6994	289	8	-	-	PUNCT
ejpam-6994	289	9	order	order	NOUN
ejpam-6994	289	10	theory	theory	NOUN
ejpam-6994	289	11	has	have	VERB
ejpam-6994	289	12	clear	clear	ADJ
ejpam-6994	289	13	advantages	advantage	NOUN
ejpam-6994	289	14	,	,	PUNCT
ejpam-6994	289	15	it	it	PRON
ejpam-6994	289	16	has	have	VERB
ejpam-6994	289	17	limitations	limitation	NOUN
ejpam-6994	289	18	.	.	PUNCT
ejpam-6994	290	1	it	it	PRON
ejpam-6994	290	2	is	be	AUX
ejpam-6994	290	3	based	base	VERB
ejpam-6994	290	4	on	on	ADP
ejpam-6994	290	5	discrete	discrete	ADJ
ejpam-6994	290	6	,	,	PUNCT
ejpam-6994	290	7	independent	independent	ADJ
ejpam-6994	290	8	residual	residual	ADJ
ejpam-6994	290	9	lifetimes	lifetime	NOUN
ejpam-6994	290	10	and	and	CCONJ
ejpam-6994	290	11	may	may	AUX
ejpam-6994	290	12	not	not	PART
ejpam-6994	290	13	capture	capture	VERB
ejpam-6994	290	14	features	feature	NOUN
ejpam-6994	290	15	of	of	ADP
ejpam-6994	290	16	continuoustime	continuoustime	ADJ
ejpam-6994	290	17	phenomena	phenomenon	NOUN
ejpam-6994	290	18	or	or	CCONJ
ejpam-6994	290	19	strong	strong	ADJ
ejpam-6994	290	20	temporal	temporal	ADJ
ejpam-6994	290	21	dependencies	dependency	NOUN
ejpam-6994	290	22	.	.	PUNCT
ejpam-6994	291	1	additionally	additionally	ADV
ejpam-6994	291	2	,	,	PUNCT
ejpam-6994	291	3	dlt	dlt	PROPN
ejpam-6994	291	4	curves	curve	NOUN
ejpam-6994	291	5	may	may	AUX
ejpam-6994	291	6	coincide	coincide	VERB
ejpam-6994	291	7	for	for	ADP
ejpam-6994	291	8	very	very	ADV
ejpam-6994	291	9	similar	similar	ADJ
ejpam-6994	291	10	distributions	distribution	NOUN
ejpam-6994	291	11	(	(	PUNCT
ejpam-6994	291	12	e.g.	e.g.	ADV
ejpam-6994	291	13	,	,	PUNCT
ejpam-6994	291	14	geometric	geometric	ADJ
ejpam-6994	291	15	distributions	distribution	NOUN
ejpam-6994	291	16	with	with	ADP
ejpam-6994	291	17	slightly	slightly	ADV
ejpam-6994	291	18	different	different	ADJ
ejpam-6994	291	19	parameters	parameter	NOUN
ejpam-6994	291	20	)	)	PUNCT
ejpam-6994	291	21	,	,	PUNCT
ejpam-6994	291	22	potentially	potentially	ADV
ejpam-6994	291	23	reducing	reduce	VERB
ejpam-6994	291	24	discriminatory	discriminatory	ADJ
ejpam-6994	291	25	power	power	NOUN
ejpam-6994	291	26	.	.	PUNCT
ejpam-6994	292	1	interpreting	interpret	VERB
ejpam-6994	292	2	dlt	dlt	PROPN
ejpam-6994	292	3	values	value	NOUN
ejpam-6994	292	4	as	as	SCONJ
ejpam-6994	292	5	operational	operational	ADJ
ejpam-6994	292	6	thresholds	threshold	NOUN
ejpam-6994	292	7	requires	require	VERB
ejpam-6994	292	8	scenario	scenario	NOUN
ejpam-6994	292	9	-	-	PUNCT
ejpam-6994	292	10	specific	specific	ADJ
ejpam-6994	292	11	calibration	calibration	NOUN
ejpam-6994	292	12	.	.	PUNCT
ejpam-6994	293	1	the	the	DET
ejpam-6994	293	2	unresolved	unresolved	ADJ
ejpam-6994	293	3	inquiries	inquiry	NOUN
ejpam-6994	293	4	can	can	AUX
ejpam-6994	293	5	be	be	AUX
ejpam-6994	293	6	addressed	address	VERB
ejpam-6994	293	7	through	through	ADP
ejpam-6994	293	8	further	further	ADJ
ejpam-6994	293	9	research	research	NOUN
ejpam-6994	293	10	,	,	PUNCT
ejpam-6994	293	11	thereby	thereby	ADV
ejpam-6994	293	12	expanding	expand	VERB
ejpam-6994	293	13	the	the	DET
ejpam-6994	293	14	framework	framework	NOUN
ejpam-6994	293	15	’s	’s	PART
ejpam-6994	293	16	scope	scope	NOUN
ejpam-6994	293	17	of	of	ADP
ejpam-6994	293	18	application	application	NOUN
ejpam-6994	293	19	.	.	PUNCT
ejpam-6994	294	1	important	important	ADJ
ejpam-6994	294	2	future	future	ADJ
ejpam-6994	294	3	directions	direction	NOUN
ejpam-6994	294	4	include	include	VERB
ejpam-6994	294	5	the	the	DET
ejpam-6994	294	6	construction	construction	NOUN
ejpam-6994	294	7	of	of	ADP
ejpam-6994	294	8	multivariate	multivariate	NOUN
ejpam-6994	294	9	dlt	dlt	PROPN
ejpam-6994	294	10	order	order	NOUN
ejpam-6994	294	11	statistics	statistic	NOUN
ejpam-6994	294	12	for	for	ADP
ejpam-6994	294	13	a.	a.	NOUN
ejpam-6994	294	14	a.	a.	NOUN
ejpam-6994	294	15	shokeralla	shokeralla	PROPN
ejpam-6994	294	16	/	/	SYM
ejpam-6994	294	17	eur	eur	PROPN
ejpam-6994	294	18	.	.	PUNCT
ejpam-6994	295	1	j.	j.	PROPN
ejpam-6994	295	2	pure	pure	PROPN
ejpam-6994	295	3	appl	appl	PROPN
ejpam-6994	295	4	.	.	PROPN
ejpam-6994	295	5	math	math	PROPN
ejpam-6994	295	6	,	,	PUNCT
ejpam-6994	295	7	18	18	NUM
ejpam-6994	295	8	(	(	PUNCT
ejpam-6994	295	9	4	4	NUM
ejpam-6994	295	10	)	)	PUNCT
ejpam-6994	295	11	(	(	PUNCT
ejpam-6994	295	12	2025	2025	NUM
ejpam-6994	295	13	)	)	PUNCT
ejpam-6994	295	14	,	,	PUNCT
ejpam-6994	295	15	6994	6994	NUM
ejpam-6994	295	16	19	19	NUM
ejpam-6994	295	17	of	of	ADP
ejpam-6994	295	18	22	22	NUM
ejpam-6994	295	19	system	system	NOUN
ejpam-6994	295	20	models	model	NOUN
ejpam-6994	295	21	with	with	ADP
ejpam-6994	295	22	overlapping	overlap	VERB
ejpam-6994	295	23	or	or	CCONJ
ejpam-6994	295	24	interconnected	interconnected	ADJ
ejpam-6994	295	25	queues	queue	NOUN
ejpam-6994	295	26	,	,	PUNCT
ejpam-6994	295	27	and	and	CCONJ
ejpam-6994	295	28	the	the	DET
ejpam-6994	295	29	practical	practical	ADJ
ejpam-6994	295	30	deployment	deployment	NOUN
ejpam-6994	295	31	of	of	ADP
ejpam-6994	295	32	real	real	ADJ
ejpam-6994	295	33	-	-	PUNCT
ejpam-6994	295	34	time	time	NOUN
ejpam-6994	295	35	dlt	dlt	PROPN
ejpam-6994	295	36	estimators	estimator	NOUN
ejpam-6994	295	37	for	for	ADP
ejpam-6994	295	38	online	online	ADJ
ejpam-6994	295	39	monitoring	monitoring	NOUN
ejpam-6994	295	40	and	and	CCONJ
ejpam-6994	295	41	anomaly	anomaly	NOUN
ejpam-6994	295	42	detection	detection	NOUN
ejpam-6994	295	43	in	in	ADP
ejpam-6994	295	44	streaming	streaming	NOUN
ejpam-6994	295	45	environments	environment	NOUN
ejpam-6994	295	46	.	.	PUNCT
ejpam-6994	296	1	moreover	moreover	ADV
ejpam-6994	296	2	,	,	PUNCT
ejpam-6994	296	3	predictive	predictive	ADJ
ejpam-6994	296	4	performance	performance	NOUN
ejpam-6994	296	5	ranking	ranking	NOUN
ejpam-6994	296	6	could	could	AUX
ejpam-6994	296	7	be	be	AUX
ejpam-6994	296	8	considered	consider	VERB
ejpam-6994	296	9	by	by	ADP
ejpam-6994	296	10	integrating	integrate	VERB
ejpam-6994	296	11	dlt	dlt	PROPN
ejpam-6994	296	12	-	-	PUNCT
ejpam-6994	296	13	based	base	VERB
ejpam-6994	296	14	analytics	analytic	NOUN
ejpam-6994	296	15	with	with	ADP
ejpam-6994	296	16	machine	machine	NOUN
ejpam-6994	296	17	learning	learning	NOUN
ejpam-6994	296	18	models	model	NOUN
ejpam-6994	296	19	using	use	VERB
ejpam-6994	296	20	call	call	NOUN
ejpam-6994	296	21	metadata	metadata	NOUN
ejpam-6994	296	22	,	,	PUNCT
ejpam-6994	296	23	queue	queue	NOUN
ejpam-6994	296	24	lengths	length	NOUN
ejpam-6994	296	25	,	,	PUNCT
ejpam-6994	296	26	customer	customer	NOUN
ejpam-6994	296	27	profile	profile	NOUN
ejpam-6994	296	28	information	information	NOUN
ejpam-6994	296	29	,	,	PUNCT
ejpam-6994	296	30	and	and	CCONJ
ejpam-6994	296	31	other	other	ADJ
ejpam-6994	296	32	operational	operational	ADJ
ejpam-6994	296	33	features	feature	NOUN
ejpam-6994	296	34	.	.	PUNCT
ejpam-6994	297	1	such	such	ADJ
ejpam-6994	297	2	extensions	extension	NOUN
ejpam-6994	297	3	could	could	AUX
ejpam-6994	297	4	enhance	enhance	VERB
ejpam-6994	297	5	the	the	DET
ejpam-6994	297	6	flexibility	flexibility	NOUN
ejpam-6994	297	7	and	and	CCONJ
ejpam-6994	297	8	effectiveness	effectiveness	NOUN
ejpam-6994	297	9	of	of	ADP
ejpam-6994	297	10	dlt	dlt	PROPN
ejpam-6994	297	11	-	-	PUNCT
ejpam-6994	297	12	based	base	VERB
ejpam-6994	297	13	service	service	NOUN
ejpam-6994	297	14	optimization	optimization	NOUN
ejpam-6994	297	15	strategies	strategy	NOUN
ejpam-6994	297	16	.	.	PUNCT
ejpam-6994	298	1	the	the	DET
ejpam-6994	298	2	dlt	dlt	PROPN
ejpam-6994	298	3	-	-	PUNCT
ejpam-6994	298	4	order	order	NOUN
ejpam-6994	298	5	represents	represent	VERB
ejpam-6994	298	6	the	the	DET
ejpam-6994	298	7	first	first	ADJ
ejpam-6994	298	8	formal	formal	ADJ
ejpam-6994	298	9	stochastic	stochastic	ADJ
ejpam-6994	298	10	order	order	NOUN
ejpam-6994	298	11	based	base	VERB
ejpam-6994	298	12	on	on	ADP
ejpam-6994	298	13	the	the	DET
ejpam-6994	298	14	discrete	discrete	ADJ
ejpam-6994	298	15	laplace	laplace	NOUN
ejpam-6994	298	16	transform	transform	NOUN
ejpam-6994	298	17	for	for	ADP
ejpam-6994	298	18	discrete	discrete	ADJ
ejpam-6994	298	19	-	-	PUNCT
ejpam-6994	298	20	time	time	NOUN
ejpam-6994	298	21	systems	system	NOUN
ejpam-6994	298	22	.	.	PUNCT
ejpam-6994	299	1	it	it	PRON
ejpam-6994	299	2	extends	extend	VERB
ejpam-6994	299	3	the	the	DET
ejpam-6994	299	4	usual	usual	ADJ
ejpam-6994	299	5	,	,	PUNCT
ejpam-6994	299	6	hazard	hazard	NOUN
ejpam-6994	299	7	-	-	PUNCT
ejpam-6994	299	8	rate	rate	NOUN
ejpam-6994	299	9	,	,	PUNCT
ejpam-6994	299	10	and	and	CCONJ
ejpam-6994	299	11	likelihood	likelihood	NOUN
ejpam-6994	299	12	-	-	PUNCT
ejpam-6994	299	13	ratio	ratio	NOUN
ejpam-6994	299	14	orders	order	NOUN
ejpam-6994	299	15	by	by	ADP
ejpam-6994	299	16	incorporating	incorporate	VERB
ejpam-6994	299	17	exponential	exponential	ADJ
ejpam-6994	299	18	weighting	weighting	NOUN
ejpam-6994	299	19	to	to	PART
ejpam-6994	299	20	capture	capture	VERB
ejpam-6994	299	21	both	both	PRON
ejpam-6994	299	22	near	near	ADJ
ejpam-6994	299	23	-	-	PUNCT
ejpam-6994	299	24	term	term	NOUN
ejpam-6994	299	25	and	and	CCONJ
ejpam-6994	299	26	tail	tail	NOUN
ejpam-6994	299	27	reliability	reliability	NOUN
ejpam-6994	299	28	.	.	PUNCT
ejpam-6994	300	1	building	build	VERB
ejpam-6994	300	2	on	on	ADP
ejpam-6994	300	3	stochastic	stochastic	NOUN
ejpam-6994	300	4	-	-	PUNCT
ejpam-6994	300	5	fractional	fractional	ADJ
ejpam-6994	300	6	and	and	CCONJ
ejpam-6994	300	7	hybrid	hybrid	ADJ
ejpam-6994	300	8	time	time	NOUN
ejpam-6994	300	9	-	-	PUNCT
ejpam-6994	300	10	series	series	NOUN
ejpam-6994	300	11	research	research	NOUN
ejpam-6994	300	12	,	,	PUNCT
ejpam-6994	300	13	future	future	ADJ
ejpam-6994	300	14	work	work	NOUN
ejpam-6994	300	15	could	could	AUX
ejpam-6994	300	16	integrate	integrate	VERB
ejpam-6994	300	17	dlt	dlt	PROPN
ejpam-6994	300	18	-	-	PUNCT
ejpam-6994	300	19	based	base	VERB
ejpam-6994	300	20	reliability	reliability	NOUN
ejpam-6994	300	21	ordering	order	VERB
ejpam-6994	300	22	with	with	ADP
ejpam-6994	300	23	predictive	predictive	ADJ
ejpam-6994	300	24	and	and	CCONJ
ejpam-6994	300	25	memory	memory	NOUN
ejpam-6994	300	26	-	-	PUNCT
ejpam-6994	300	27	sensitive	sensitive	ADJ
ejpam-6994	300	28	models	model	NOUN
ejpam-6994	300	29	[	[	X
ejpam-6994	300	30	12	12	NUM
ejpam-6994	300	31	,	,	PUNCT
ejpam-6994	300	32	13	13	NUM
ejpam-6994	300	33	,	,	PUNCT
ejpam-6994	300	34	20	20	NUM
ejpam-6994	300	35	,	,	PUNCT
ejpam-6994	300	36	46	46	NUM
ejpam-6994	300	37	]	]	PUNCT
ejpam-6994	300	38	,	,	PUNCT
ejpam-6994	300	39	demonstrating	demonstrate	VERB
ejpam-6994	300	40	how	how	SCONJ
ejpam-6994	300	41	machine	machine	NOUN
ejpam-6994	300	42	-	-	PUNCT
ejpam-6994	300	43	learning	learning	NOUN
ejpam-6994	300	44	-	-	PUNCT
ejpam-6994	300	45	driven	drive	VERB
ejpam-6994	300	46	insights	insight	NOUN
ejpam-6994	300	47	can	can	AUX
ejpam-6994	300	48	improve	improve	VERB
ejpam-6994	300	49	operational	operational	ADJ
ejpam-6994	300	50	forecasts	forecast	NOUN
ejpam-6994	300	51	and	and	CCONJ
ejpam-6994	300	52	decision	decision	NOUN
ejpam-6994	300	53	-	-	PUNCT
ejpam-6994	300	54	making	making	NOUN
ejpam-6994	300	55	in	in	ADP
ejpam-6994	300	56	discrete	discrete	ADJ
ejpam-6994	300	57	systems	system	NOUN
ejpam-6994	300	58	.	.	PUNCT
ejpam-6994	301	1	this	this	DET
ejpam-6994	301	2	interdisciplinary	interdisciplinary	ADJ
ejpam-6994	301	3	synthesis	synthesis	NOUN
ejpam-6994	301	4	would	would	AUX
ejpam-6994	301	5	extend	extend	VERB
ejpam-6994	301	6	the	the	DET
ejpam-6994	301	7	dlt	dlt	PROPN
ejpam-6994	301	8	-	-	PUNCT
ejpam-6994	301	9	order	order	NOUN
ejpam-6994	301	10	beyond	beyond	ADP
ejpam-6994	301	11	queueing	queue	VERB
ejpam-6994	301	12	analysis	analysis	NOUN
ejpam-6994	301	13	toward	toward	ADP
ejpam-6994	301	14	data	data	NOUN
ejpam-6994	301	15	-	-	PUNCT
ejpam-6994	301	16	driven	drive	VERB
ejpam-6994	301	17	reliability	reliability	NOUN
ejpam-6994	301	18	intelligence	intelligence	NOUN
ejpam-6994	301	19	in	in	ADP
ejpam-6994	301	20	complex	complex	ADJ
ejpam-6994	301	21	stochastic	stochastic	ADJ
ejpam-6994	301	22	networks	network	NOUN
ejpam-6994	301	23	.	.	PUNCT
ejpam-6994	302	1	future	future	ADJ
ejpam-6994	302	2	directions	direction	NOUN
ejpam-6994	302	3	to	to	PART
ejpam-6994	302	4	expand	expand	VERB
ejpam-6994	302	5	the	the	DET
ejpam-6994	302	6	framework	framework	NOUN
ejpam-6994	302	7	include	include	VERB
ejpam-6994	302	8	:	:	PUNCT
ejpam-6994	302	9	•	•	ADV
ejpam-6994	302	10	developing	develop	VERB
ejpam-6994	302	11	multivariate	multivariate	NOUN
ejpam-6994	302	12	dlt	dlt	PROPN
ejpam-6994	302	13	-	-	PUNCT
ejpam-6994	302	14	order	order	NOUN
ejpam-6994	302	15	statistics	statistic	NOUN
ejpam-6994	302	16	for	for	ADP
ejpam-6994	302	17	systems	system	NOUN
ejpam-6994	302	18	with	with	ADP
ejpam-6994	302	19	interconnected	interconnected	ADJ
ejpam-6994	302	20	or	or	CCONJ
ejpam-6994	302	21	overlapping	overlap	VERB
ejpam-6994	302	22	queues	queue	NOUN
ejpam-6994	302	23	.	.	PUNCT
ejpam-6994	303	1	•	•	NOUN
ejpam-6994	303	2	constructing	construct	VERB
ejpam-6994	303	3	online	online	ADJ
ejpam-6994	303	4	dlt	dlt	PROPN
ejpam-6994	303	5	estimators	estimator	NOUN
ejpam-6994	303	6	for	for	ADP
ejpam-6994	303	7	streaming	stream	VERB
ejpam-6994	303	8	environments	environment	NOUN
ejpam-6994	303	9	for	for	ADP
ejpam-6994	303	10	real	real	ADJ
ejpam-6994	303	11	-	-	PUNCT
ejpam-6994	303	12	time	time	NOUN
ejpam-6994	303	13	monitoring	monitoring	NOUN
ejpam-6994	303	14	and	and	CCONJ
ejpam-6994	303	15	anomaly	anomaly	NOUN
ejpam-6994	303	16	detection	detection	NOUN
ejpam-6994	303	17	.	.	PUNCT
ejpam-6994	304	1	•	•	PUNCT
ejpam-6994	304	2	exploring	explore	VERB
ejpam-6994	304	3	predictive	predictive	ADJ
ejpam-6994	304	4	performance	performance	NOUN
ejpam-6994	304	5	ranking	rank	VERB
ejpam-6994	304	6	by	by	ADP
ejpam-6994	304	7	integrating	integrate	VERB
ejpam-6994	304	8	dlt	dlt	PROPN
ejpam-6994	304	9	-	-	PUNCT
ejpam-6994	304	10	based	base	VERB
ejpam-6994	304	11	analytics	analytic	NOUN
ejpam-6994	304	12	with	with	ADP
ejpam-6994	304	13	machine	machine	NOUN
ejpam-6994	304	14	learning	learning	NOUN
ejpam-6994	304	15	models	model	NOUN
ejpam-6994	304	16	using	use	VERB
ejpam-6994	304	17	call	call	NOUN
ejpam-6994	304	18	metadata	metadata	NOUN
ejpam-6994	304	19	,	,	PUNCT
ejpam-6994	304	20	queue	queue	NOUN
ejpam-6994	304	21	length	length	NOUN
ejpam-6994	304	22	,	,	PUNCT
ejpam-6994	304	23	and	and	CCONJ
ejpam-6994	304	24	customer	customer	NOUN
ejpam-6994	304	25	profiles	profile	NOUN
ejpam-6994	304	26	.	.	PUNCT
ejpam-6994	305	1	•	•	NUM
ejpam-6994	305	2	considering	consider	VERB
ejpam-6994	305	3	markovian	markovian	NOUN
ejpam-6994	305	4	and	and	CCONJ
ejpam-6994	305	5	fractional	fractional	ADJ
ejpam-6994	305	6	extensions	extension	NOUN
ejpam-6994	305	7	to	to	AUX
ejpam-6994	305	8	model	model	NOUN
ejpam-6994	305	9	memory	memory	NOUN
ejpam-6994	305	10	effects	effect	NOUN
ejpam-6994	305	11	in	in	ADP
ejpam-6994	305	12	discrete	discrete	ADJ
ejpam-6994	305	13	systems	system	NOUN
ejpam-6994	305	14	.	.	PUNCT
ejpam-6994	306	1	the	the	DET
ejpam-6994	306	2	dlt	dlt	PROPN
ejpam-6994	306	3	-	-	PUNCT
ejpam-6994	306	4	order	order	NOUN
ejpam-6994	306	5	represents	represent	VERB
ejpam-6994	306	6	the	the	DET
ejpam-6994	306	7	first	first	ADJ
ejpam-6994	306	8	formal	formal	ADJ
ejpam-6994	306	9	stochastic	stochastic	ADJ
ejpam-6994	306	10	order	order	NOUN
ejpam-6994	306	11	based	base	VERB
ejpam-6994	306	12	on	on	ADP
ejpam-6994	306	13	the	the	DET
ejpam-6994	306	14	discrete	discrete	ADJ
ejpam-6994	306	15	laplace	laplace	NOUN
ejpam-6994	306	16	transform	transform	NOUN
ejpam-6994	306	17	for	for	ADP
ejpam-6994	306	18	discrete	discrete	ADJ
ejpam-6994	306	19	-	-	PUNCT
ejpam-6994	306	20	time	time	NOUN
ejpam-6994	306	21	systems	system	NOUN
ejpam-6994	306	22	.	.	PUNCT
ejpam-6994	307	1	it	it	PRON
ejpam-6994	307	2	extends	extend	VERB
ejpam-6994	307	3	the	the	DET
ejpam-6994	307	4	usual	usual	ADJ
ejpam-6994	307	5	,	,	PUNCT
ejpam-6994	307	6	hazard	hazard	NOUN
ejpam-6994	307	7	-	-	PUNCT
ejpam-6994	307	8	rate	rate	NOUN
ejpam-6994	307	9	,	,	PUNCT
ejpam-6994	307	10	and	and	CCONJ
ejpam-6994	307	11	likelihood	likelihood	NOUN
ejpam-6994	307	12	-	-	PUNCT
ejpam-6994	307	13	ratio	ratio	NOUN
ejpam-6994	307	14	orders	order	NOUN
ejpam-6994	307	15	by	by	ADP
ejpam-6994	307	16	incorporating	incorporate	VERB
ejpam-6994	307	17	exponential	exponential	ADJ
ejpam-6994	307	18	weighting	weighting	NOUN
ejpam-6994	307	19	to	to	PART
ejpam-6994	307	20	capture	capture	VERB
ejpam-6994	307	21	both	both	PRON
ejpam-6994	307	22	near	near	ADJ
ejpam-6994	307	23	-	-	PUNCT
ejpam-6994	307	24	term	term	NOUN
ejpam-6994	307	25	and	and	CCONJ
ejpam-6994	307	26	tail	tail	NOUN
ejpam-6994	307	27	reliability	reliability	NOUN
ejpam-6994	307	28	.	.	PUNCT
ejpam-6994	308	1	the	the	DET
ejpam-6994	308	2	dlt	dlt	PROPN
ejpam-6994	308	3	-	-	PUNCT
ejpam-6994	308	4	order	order	NOUN
ejpam-6994	308	5	thus	thus	ADV
ejpam-6994	308	6	occupies	occupy	VERB
ejpam-6994	308	7	the	the	DET
ejpam-6994	308	8	upper	upper	ADJ
ejpam-6994	308	9	tier	tier	NOUN
ejpam-6994	308	10	of	of	ADP
ejpam-6994	308	11	the	the	DET
ejpam-6994	308	12	stochastic	stochastic	ADJ
ejpam-6994	308	13	order	order	NOUN
ejpam-6994	308	14	hierarchy	hierarchy	NOUN
ejpam-6994	308	15	:	:	PUNCT
ejpam-6994	308	16	lr	lr	PROPN
ejpam-6994	308	17	⊂	⊂	PROPN
ejpam-6994	308	18	hr	hr	PROPN
ejpam-6994	308	19	⊂	⊂	PROPN
ejpam-6994	308	20	st	st	PROPN
ejpam-6994	308	21	⊂	⊂	PROPN
ejpam-6994	308	22	dlt	dlt	PROPN
ejpam-6994	308	23	,	,	PUNCT
ejpam-6994	308	24	combining	combine	VERB
ejpam-6994	308	25	mathematical	mathematical	ADJ
ejpam-6994	308	26	tractability	tractability	NOUN
ejpam-6994	308	27	with	with	ADP
ejpam-6994	308	28	operational	operational	ADJ
ejpam-6994	308	29	interpretability	interpretability	NOUN
ejpam-6994	308	30	.	.	PUNCT
ejpam-6994	309	1	sults	sult	NOUN
ejpam-6994	309	2	or	or	CCONJ
ejpam-6994	309	3	interpretations	interpretation	NOUN
ejpam-6994	309	4	presented	present	VERB
ejpam-6994	309	5	in	in	ADP
ejpam-6994	309	6	this	this	DET
ejpam-6994	309	7	work	work	NOUN
ejpam-6994	309	8	.	.	PUNCT
ejpam-6994	310	1	funding	funding	NOUN
ejpam-6994	310	2	statement	statement	NOUN
ejpam-6994	310	3	this	this	DET
ejpam-6994	310	4	research	research	NOUN
ejpam-6994	310	5	was	be	AUX
ejpam-6994	310	6	conducted	conduct	VERB
ejpam-6994	310	7	without	without	ADP
ejpam-6994	310	8	external	external	ADJ
ejpam-6994	310	9	funding	funding	NOUN
ejpam-6994	310	10	.	.	PUNCT
ejpam-6994	311	1	the	the	DET
ejpam-6994	311	2	author	author	NOUN
ejpam-6994	311	3	provided	provide	VERB
ejpam-6994	311	4	all	all	DET
ejpam-6994	311	5	the	the	DET
ejpam-6994	311	6	resources	resource	NOUN
ejpam-6994	311	7	needed	need	VERB
ejpam-6994	311	8	to	to	PART
ejpam-6994	311	9	complete	complete	VERB
ejpam-6994	311	10	the	the	DET
ejpam-6994	311	11	study	study	NOUN
ejpam-6994	311	12	.	.	PUNCT
ejpam-6994	312	1	a.	a.	NOUN
ejpam-6994	312	2	a.	a.	PROPN
ejpam-6994	312	3	shokeralla	shokeralla	PROPN
ejpam-6994	312	4	/	/	SYM
ejpam-6994	312	5	eur	eur	PROPN
ejpam-6994	312	6	.	.	PUNCT
ejpam-6994	313	1	j.	j.	PROPN
ejpam-6994	313	2	pure	pure	PROPN
ejpam-6994	313	3	appl	appl	PROPN
ejpam-6994	313	4	.	.	PROPN
ejpam-6994	313	5	math	math	PROPN
ejpam-6994	313	6	,	,	PUNCT
ejpam-6994	313	7	18	18	NUM
ejpam-6994	313	8	(	(	PUNCT
ejpam-6994	313	9	4	4	NUM
ejpam-6994	313	10	)	)	PUNCT
ejpam-6994	313	11	(	(	PUNCT
ejpam-6994	313	12	2025	2025	NUM
ejpam-6994	313	13	)	)	PUNCT
ejpam-6994	313	14	,	,	PUNCT
ejpam-6994	313	15	6994	6994	NUM
ejpam-6994	313	16	20	20	NUM
ejpam-6994	313	17	of	of	ADP
ejpam-6994	313	18	22	22	NUM
ejpam-6994	313	19	references	reference	NOUN
ejpam-6994	313	20	[	[	X
ejpam-6994	313	21	1	1	NUM
ejpam-6994	313	22	]	]	PUNCT
ejpam-6994	313	23	m.	m.	NOUN
ejpam-6994	313	24	ahmad	ahmad	PROPN
ejpam-6994	313	25	.	.	PUNCT
ejpam-6994	314	1	modeling	model	VERB
ejpam-6994	314	2	reliability	reliability	NOUN
ejpam-6994	314	3	of	of	ADP
ejpam-6994	314	4	discrete	discrete	ADJ
ejpam-6994	314	5	systems	system	NOUN
ejpam-6994	314	6	using	use	VERB
ejpam-6994	314	7	discrete	discrete	ADJ
ejpam-6994	314	8	transforms	transform	NOUN
ejpam-6994	314	9	.	.	PUNCT
ejpam-6994	315	1	applied	apply	VERB
ejpam-6994	315	2	mathematics	mathematic	NOUN
ejpam-6994	315	3	and	and	CCONJ
ejpam-6994	315	4	computation	computation	NOUN
ejpam-6994	315	5	,	,	PUNCT
ejpam-6994	315	6	375:125102	375:125102	NUM
ejpam-6994	315	7	,	,	PUNCT
ejpam-6994	315	8	2020	2020	NUM
ejpam-6994	315	9	.	.	PUNCT
ejpam-6994	316	1	[	[	X
ejpam-6994	316	2	2	2	X
ejpam-6994	316	3	]	]	PUNCT
ejpam-6994	316	4	j.	j.	PROPN
ejpam-6994	316	5	m.	m.	PROPN
ejpam-6994	316	6	alvarez	alvarez	PROPN
ejpam-6994	316	7	and	and	CCONJ
ejpam-6994	316	8	m.	m.	PROPN
ejpam-6994	316	9	gomez	gomez	PROPN
ejpam-6994	316	10	.	.	PUNCT
ejpam-6994	317	1	residual	residual	ADJ
ejpam-6994	317	2	life	life	NOUN
ejpam-6994	317	3	modeling	model	VERB
ejpam-6994	317	4	with	with	ADP
ejpam-6994	317	5	discrete	discrete	ADJ
ejpam-6994	317	6	event	event	NOUN
ejpam-6994	317	7	simulation	simulation	NOUN
ejpam-6994	317	8	.	.	PUNCT
ejpam-6994	318	1	simulation	simulation	NOUN
ejpam-6994	318	2	modelling	model	VERB
ejpam-6994	318	3	practice	practice	NOUN
ejpam-6994	318	4	and	and	CCONJ
ejpam-6994	318	5	theory	theory	NOUN
ejpam-6994	318	6	,	,	PUNCT
ejpam-6994	318	7	109:102333	109:102333	NUM
ejpam-6994	318	8	,	,	PUNCT
ejpam-6994	318	9	2021	2021	NUM
ejpam-6994	318	10	.	.	PUNCT
ejpam-6994	319	1	[	[	X
ejpam-6994	319	2	3	3	X
ejpam-6994	319	3	]	]	X
ejpam-6994	319	4	b.	b.	PROPN
ejpam-6994	319	5	al	al	PROPN
ejpam-6994	319	6	-	-	PUNCT
ejpam-6994	319	7	zahrani	zahrani	PROPN
ejpam-6994	319	8	and	and	CCONJ
ejpam-6994	319	9	o.	o.	PROPN
ejpam-6994	319	10	h.	h.	PROPN
ejpam-6994	319	11	abdelrahman	abdelrahman	PROPN
ejpam-6994	319	12	.	.	PUNCT
ejpam-6994	320	1	reliability	reliability	NOUN
ejpam-6994	320	2	assessment	assessment	NOUN
ejpam-6994	320	3	using	use	VERB
ejpam-6994	320	4	laplace	laplace	NOUN
ejpam-6994	320	5	transform	transform	NOUN
ejpam-6994	320	6	for	for	ADP
ejpam-6994	320	7	discrete	discrete	ADJ
ejpam-6994	320	8	lifetime	lifetime	NOUN
ejpam-6994	320	9	models	model	NOUN
ejpam-6994	320	10	.	.	PUNCT
ejpam-6994	321	1	journal	journal	NOUN
ejpam-6994	321	2	of	of	ADP
ejpam-6994	321	3	reliability	reliability	NOUN
ejpam-6994	321	4	and	and	CCONJ
ejpam-6994	321	5	statistical	statistical	ADJ
ejpam-6994	321	6	studies	study	NOUN
ejpam-6994	321	7	,	,	PUNCT
ejpam-6994	321	8	14(1):23–39	14(1):23–39	NUM
ejpam-6994	321	9	,	,	PUNCT
ejpam-6994	321	10	2021	2021	NUM
ejpam-6994	321	11	.	.	PUNCT
ejpam-6994	322	1	[	[	X
ejpam-6994	322	2	4	4	X
ejpam-6994	322	3	]	]	X
ejpam-6994	322	4	s.	s.	PROPN
ejpam-6994	322	5	asmussen	asmussen	PROPN
ejpam-6994	322	6	and	and	CCONJ
ejpam-6994	322	7	p.	p.	PROPN
ejpam-6994	322	8	w.	w.	PROPN
ejpam-6994	322	9	glynn	glynn	PROPN
ejpam-6994	322	10	.	.	PUNCT
ejpam-6994	323	1	stochastic	stochastic	ADJ
ejpam-6994	323	2	simulation	simulation	NOUN
ejpam-6994	323	3	:	:	PUNCT
ejpam-6994	323	4	algorithms	algorithm	NOUN
ejpam-6994	323	5	and	and	CCONJ
ejpam-6994	323	6	analysis	analysis	NOUN
ejpam-6994	323	7	.	.	PUNCT
ejpam-6994	324	1	springer	springer	NOUN
ejpam-6994	324	2	,	,	PUNCT
ejpam-6994	324	3	2016	2016	NUM
ejpam-6994	324	4	.	.	PUNCT
ejpam-6994	325	1	[	[	X
ejpam-6994	325	2	5	5	NUM
ejpam-6994	325	3	]	]	PUNCT
ejpam-6994	325	4	r.	r.	PROPN
ejpam-6994	325	5	atar	atar	PROPN
ejpam-6994	325	6	and	and	CCONJ
ejpam-6994	325	7	a.	a.	PROPN
ejpam-6994	325	8	biswas	biswas	PROPN
ejpam-6994	325	9	.	.	PUNCT
ejpam-6994	326	1	queueing	queue	VERB
ejpam-6994	326	2	systems	system	NOUN
ejpam-6994	326	3	with	with	ADP
ejpam-6994	326	4	retrials	retrial	NOUN
ejpam-6994	326	5	and	and	CCONJ
ejpam-6994	326	6	delay	delay	VERB
ejpam-6994	326	7	information	information	NOUN
ejpam-6994	326	8	.	.	PUNCT
ejpam-6994	327	1	queueing	queue	VERB
ejpam-6994	327	2	systems	system	NOUN
ejpam-6994	327	3	,	,	PUNCT
ejpam-6994	327	4	97:1–38	97:1–38	NUM
ejpam-6994	327	5	,	,	PUNCT
ejpam-6994	327	6	2021	2021	NUM
ejpam-6994	327	7	.	.	PUNCT
ejpam-6994	328	1	[	[	X
ejpam-6994	328	2	6	6	NUM
ejpam-6994	328	3	]	]	PUNCT
ejpam-6994	328	4	e.	e.	PROPN
ejpam-6994	328	5	i.	i.	PROPN
ejpam-6994	328	6	fath	fath	PROPN
ejpam-6994	328	7	-	-	PUNCT
ejpam-6994	328	8	elrhman	elrhman	NOUN
ejpam-6994	328	9	,	,	PUNCT
ejpam-6994	328	10	g.	g.	PROPN
ejpam-6994	328	11	m.	m.	PROPN
ejpam-6994	328	12	m.	m.	PROPN
ejpam-6994	328	13	abdelaziz	abdelaziz	PROPN
ejpam-6994	328	14	,	,	PUNCT
ejpam-6994	328	15	a.	a.	NOUN
ejpam-6994	328	16	a.	a.	NOUN
ejpam-6994	328	17	shokeralla	shokeralla	PROPN
ejpam-6994	328	18	,	,	PUNCT
ejpam-6994	328	19	and	and	CCONJ
ejpam-6994	328	20	s.	s.	PROPN
ejpam-6994	328	21	alzahrani	alzahrani	PROPN
ejpam-6994	328	22	.	.	PUNCT
ejpam-6994	329	1	modeling	model	VERB
ejpam-6994	329	2	sudan	sudan	PROPN
ejpam-6994	329	3	’s	’s	PART
ejpam-6994	329	4	inflation	inflation	NOUN
ejpam-6994	329	5	rate	rate	NOUN
ejpam-6994	329	6	using	use	VERB
ejpam-6994	329	7	multilayer	multilayer	ADJ
ejpam-6994	329	8	feedforward	feedforward	NOUN
ejpam-6994	329	9	neural	neural	ADJ
ejpam-6994	329	10	network	network	NOUN
ejpam-6994	329	11	with	with	ADP
ejpam-6994	329	12	backpropagation	backpropagation	NOUN
ejpam-6994	329	13	algorithm	algorithm	NOUN
ejpam-6994	329	14	.	.	PUNCT
ejpam-6994	330	1	international	international	ADJ
ejpam-6994	330	2	journal	journal	PROPN
ejpam-6994	330	3	of	of	ADP
ejpam-6994	330	4	engineering	engineering	NOUN
ejpam-6994	330	5	,	,	PUNCT
ejpam-6994	330	6	science	science	NOUN
ejpam-6994	330	7	and	and	CCONJ
ejpam-6994	330	8	mathematics	mathematic	NOUN
ejpam-6994	330	9	,	,	PUNCT
ejpam-6994	330	10	9(10):1–11	9(10):1–11	NOUN
ejpam-6994	330	11	,	,	PUNCT
ejpam-6994	330	12	2020	2020	NUM
ejpam-6994	330	13	.	.	PUNCT
ejpam-6994	331	1	[	[	X
ejpam-6994	331	2	7	7	X
ejpam-6994	331	3	]	]	X
ejpam-6994	331	4	o.	o.	NOUN
ejpam-6994	331	5	bousquet	bousquet	NOUN
ejpam-6994	331	6	and	and	CCONJ
ejpam-6994	331	7	p.	p.	NOUN
ejpam-6994	331	8	massart	massart	PROPN
ejpam-6994	331	9	.	.	PUNCT
ejpam-6994	332	1	on	on	ADP
ejpam-6994	332	2	the	the	DET
ejpam-6994	332	3	robustness	robustness	NOUN
ejpam-6994	332	4	of	of	ADP
ejpam-6994	332	5	transform	transform	NOUN
ejpam-6994	332	6	-	-	PUNCT
ejpam-6994	332	7	based	base	VERB
ejpam-6994	332	8	methods	method	NOUN
ejpam-6994	332	9	for	for	ADP
ejpam-6994	332	10	lifetime	lifetime	NOUN
ejpam-6994	332	11	modeling	modeling	NOUN
ejpam-6994	332	12	.	.	PUNCT
ejpam-6994	333	1	journal	journal	NOUN
ejpam-6994	333	2	of	of	ADP
ejpam-6994	333	3	statistical	statistical	ADJ
ejpam-6994	333	4	theory	theory	NOUN
ejpam-6994	333	5	and	and	CCONJ
ejpam-6994	333	6	practice	practice	NOUN
ejpam-6994	333	7	,	,	PUNCT
ejpam-6994	333	8	17(3):121–138	17(3):121–138	PROPN
ejpam-6994	333	9	,	,	PUNCT
ejpam-6994	333	10	2023	2023	NUM
ejpam-6994	333	11	.	.	PUNCT
ejpam-6994	334	1	[	[	X
ejpam-6994	334	2	8	8	NUM
ejpam-6994	334	3	]	]	PUNCT
ejpam-6994	334	4	m.	m.	NOUN
ejpam-6994	334	5	l.	l.	PROPN
ejpam-6994	334	6	chaudhry	chaudhry	PROPN
ejpam-6994	334	7	and	and	CCONJ
ejpam-6994	334	8	j.	j.	PROPN
ejpam-6994	334	9	g.	g.	PROPN
ejpam-6994	334	10	c.	c.	PROPN
ejpam-6994	334	11	templeton	templeton	PROPN
ejpam-6994	334	12	.	.	PUNCT
ejpam-6994	335	1	a	a	DET
ejpam-6994	335	2	first	first	ADJ
ejpam-6994	335	3	course	course	NOUN
ejpam-6994	335	4	in	in	ADP
ejpam-6994	335	5	bulk	bulk	ADJ
ejpam-6994	335	6	queues	queue	NOUN
ejpam-6994	335	7	.	.	PUNCT
ejpam-6994	336	1	wiley	wiley	PROPN
ejpam-6994	336	2	,	,	PUNCT
ejpam-6994	336	3	2018	2018	NUM
ejpam-6994	336	4	.	.	PUNCT
ejpam-6994	337	1	[	[	X
ejpam-6994	337	2	9	9	NUM
ejpam-6994	337	3	]	]	X
ejpam-6994	337	4	h.	h.	PROPN
ejpam-6994	337	5	chen	chen	PROPN
ejpam-6994	337	6	and	and	CCONJ
ejpam-6994	337	7	j.	j.	PROPN
ejpam-6994	337	8	xu	xu	PROPN
ejpam-6994	337	9	.	.	PUNCT
ejpam-6994	337	10	delay	delay	NOUN
ejpam-6994	337	11	prediction	prediction	NOUN
ejpam-6994	337	12	models	model	NOUN
ejpam-6994	337	13	in	in	ADP
ejpam-6994	337	14	intelligent	intelligent	ADJ
ejpam-6994	337	15	customer	customer	NOUN
ejpam-6994	337	16	service	service	NOUN
ejpam-6994	337	17	systems	system	NOUN
ejpam-6994	337	18	.	.	PUNCT
ejpam-6994	338	1	expert	expert	NOUN
ejpam-6994	338	2	systems	system	NOUN
ejpam-6994	338	3	with	with	ADP
ejpam-6994	338	4	applications	application	NOUN
ejpam-6994	338	5	,	,	PUNCT
ejpam-6994	338	6	159:113595	159:113595	NUM
ejpam-6994	338	7	,	,	PUNCT
ejpam-6994	338	8	2020	2020	NUM
ejpam-6994	338	9	.	.	PUNCT
ejpam-6994	339	1	[	[	X
ejpam-6994	339	2	10	10	NUM
ejpam-6994	339	3	]	]	X
ejpam-6994	339	4	j.	j.	PROPN
ejpam-6994	339	5	corujo	corujo	PROPN
ejpam-6994	339	6	,	,	PUNCT
ejpam-6994	339	7	j.	j.	PROPN
ejpam-6994	339	8	valdés	valdés	PROPN
ejpam-6994	339	9	,	,	PUNCT
ejpam-6994	339	10	and	and	CCONJ
ejpam-6994	339	11	j.	j.	PROPN
ejpam-6994	339	12	a.	a.	PROPN
ejpam-6994	339	13	moreno	moreno	PROPN
ejpam-6994	339	14	.	.	PUNCT
ejpam-6994	340	1	discrete	discrete	ADJ
ejpam-6994	340	2	reliability	reliability	NOUN
ejpam-6994	340	3	modeling	modeling	NOUN
ejpam-6994	340	4	and	and	CCONJ
ejpam-6994	340	5	stochastic	stochastic	ADJ
ejpam-6994	340	6	comparisons	comparison	NOUN
ejpam-6994	340	7	.	.	PUNCT
ejpam-6994	341	1	international	international	ADJ
ejpam-6994	341	2	journal	journal	PROPN
ejpam-6994	341	3	of	of	ADP
ejpam-6994	341	4	mathematical	mathematical	ADJ
ejpam-6994	341	5	analysis	analysis	NOUN
ejpam-6994	341	6	,	,	PUNCT
ejpam-6994	341	7	13(20):977–993	13(20):977–993	NUM
ejpam-6994	341	8	,	,	PUNCT
ejpam-6994	341	9	2019	2019	NUM
ejpam-6994	341	10	.	.	PUNCT
ejpam-6994	342	1	[	[	X
ejpam-6994	342	2	11	11	NUM
ejpam-6994	342	3	]	]	X
ejpam-6994	342	4	c.	c.	NOUN
ejpam-6994	342	5	derman	derman	NOUN
ejpam-6994	342	6	and	and	CCONJ
ejpam-6994	342	7	s.	s.	PROPN
ejpam-6994	342	8	m.	m.	PROPN
ejpam-6994	342	9	ross	ross	PROPN
ejpam-6994	342	10	.	.	PUNCT
ejpam-6994	343	1	a	a	DET
ejpam-6994	343	2	stochastic	stochastic	ADJ
ejpam-6994	343	3	model	model	NOUN
ejpam-6994	343	4	for	for	ADP
ejpam-6994	343	5	performance	performance	NOUN
ejpam-6994	343	6	evaluation	evaluation	NOUN
ejpam-6994	343	7	in	in	ADP
ejpam-6994	343	8	call	call	NOUN
ejpam-6994	343	9	centers	center	NOUN
ejpam-6994	343	10	.	.	PUNCT
ejpam-6994	344	1	management	management	NOUN
ejpam-6994	344	2	science	science	NOUN
ejpam-6994	344	3	,	,	PUNCT
ejpam-6994	344	4	61(12):3051–3068	61(12):3051–3068	NUM
ejpam-6994	344	5	,	,	PUNCT
ejpam-6994	344	6	2015	2015	NUM
ejpam-6994	344	7	.	.	PUNCT
ejpam-6994	345	1	[	[	X
ejpam-6994	345	2	12	12	NUM
ejpam-6994	345	3	]	]	PUNCT
ejpam-6994	345	4	a.	a.	NOUN
ejpam-6994	345	5	a.	a.	NOUN
ejpam-6994	345	6	shokeralla	shokeralla	PROPN
ejpam-6994	345	7	.	.	PUNCT
ejpam-6994	346	1	a	a	DET
ejpam-6994	346	2	hybrid	hybrid	ADJ
ejpam-6994	346	3	time	time	NOUN
ejpam-6994	346	4	series	series	PROPN
ejpam-6994	346	5	–	–	PUNCT
ejpam-6994	346	6	regression	regression	NOUN
ejpam-6994	346	7	model	model	NOUN
ejpam-6994	346	8	for	for	ADP
ejpam-6994	346	9	tuberculosis	tuberculosis	NOUN
ejpam-6994	346	10	forecasting	forecasting	NOUN
ejpam-6994	346	11	in	in	ADP
ejpam-6994	346	12	resource	resource	NOUN
ejpam-6994	346	13	-	-	PUNCT
ejpam-6994	346	14	limited	limit	VERB
ejpam-6994	346	15	settings	setting	NOUN
ejpam-6994	346	16	.	.	PUNCT
ejpam-6994	347	1	unpublished	unpublished	ADJ
ejpam-6994	347	2	manuscript	manuscript	NOUN
ejpam-6994	347	3	.	.	PUNCT
ejpam-6994	348	1	[	[	X
ejpam-6994	348	2	13	13	NUM
ejpam-6994	348	3	]	]	X
ejpam-6994	348	4	r.	r.	PROPN
ejpam-6994	348	5	saadeh	saadeh	PROPN
ejpam-6994	348	6	,	,	PUNCT
ejpam-6994	348	7	a.	a.	PROPN
ejpam-6994	348	8	a.	a.	NOUN
ejpam-6994	348	9	shokeralla	shokeralla	PROPN
ejpam-6994	348	10	,	,	PUNCT
ejpam-6994	348	11	n.	n.	PROPN
ejpam-6994	348	12	al	al	PROPN
ejpam-6994	348	13	-	-	PUNCT
ejpam-6994	348	14	kuleab	kuleab	PROPN
ejpam-6994	348	15	,	,	PUNCT
ejpam-6994	348	16	w.	w.	PROPN
ejpam-6994	348	17	s.	s.	PROPN
ejpam-6994	348	18	hamad	hamad	PROPN
ejpam-6994	348	19	,	,	PUNCT
ejpam-6994	348	20	m.	m.	PROPN
ejpam-6994	348	21	ali	ali	PROPN
ejpam-6994	348	22	,	,	PUNCT
ejpam-6994	348	23	m.	m.	NOUN
ejpam-6994	348	24	a.	a.	PROPN
ejpam-6994	348	25	abdoon	abdoon	PROPN
ejpam-6994	348	26	,	,	PUNCT
ejpam-6994	348	27	and	and	CCONJ
ejpam-6994	348	28	f.	f.	PROPN
ejpam-6994	348	29	el	el	PROPN
ejpam-6994	348	30	guma	guma	PROPN
ejpam-6994	348	31	.	.	PUNCT
ejpam-6994	349	1	stochastic	stochastic	ADJ
ejpam-6994	349	2	modelling	modelling	NOUN
ejpam-6994	349	3	of	of	ADP
ejpam-6994	349	4	seasonal	seasonal	ADJ
ejpam-6994	349	5	influenza	influenza	NOUN
ejpam-6994	349	6	dynamics	dynamic	NOUN
ejpam-6994	349	7	:	:	PUNCT
ejpam-6994	349	8	integrating	integrate	VERB
ejpam-6994	349	9	random	random	ADJ
ejpam-6994	349	10	perturbations	perturbation	NOUN
ejpam-6994	349	11	and	and	CCONJ
ejpam-6994	349	12	behavioural	behavioural	ADJ
ejpam-6994	349	13	factors	factor	NOUN
ejpam-6994	349	14	.	.	PUNCT
ejpam-6994	350	1	european	european	ADJ
ejpam-6994	350	2	journal	journal	PROPN
ejpam-6994	350	3	of	of	ADP
ejpam-6994	350	4	pure	pure	ADJ
ejpam-6994	350	5	and	and	CCONJ
ejpam-6994	350	6	applied	applied	ADJ
ejpam-6994	350	7	mathematics	mathematic	NOUN
ejpam-6994	350	8	,	,	PUNCT
ejpam-6994	350	9	18(3):6379	18(3):6379	NUM
ejpam-6994	350	10	,	,	PUNCT
ejpam-6994	350	11	2025	2025	NUM
ejpam-6994	350	12	.	.	PUNCT
ejpam-6994	351	1	[	[	X
ejpam-6994	351	2	14	14	NUM
ejpam-6994	351	3	]	]	PUNCT
ejpam-6994	351	4	a.	a.	NOUN
ejpam-6994	351	5	a.	a.	NOUN
ejpam-6994	351	6	shokeralla	shokeralla	PROPN
ejpam-6994	351	7	,	,	PUNCT
ejpam-6994	351	8	m.	m.	PROPN
ejpam-6994	351	9	e.	e.	PROPN
ejpam-6994	351	10	qurashi	qurashi	PROPN
ejpam-6994	351	11	,	,	PUNCT
ejpam-6994	351	12	r.	r.	PROPN
ejpam-6994	351	13	y.	y.	PROPN
ejpam-6994	351	14	mekki	mekki	PROPN
ejpam-6994	351	15	,	,	PUNCT
ejpam-6994	351	16	and	and	CCONJ
ejpam-6994	351	17	m.	m.	PROPN
ejpam-6994	351	18	s.	s.	PROPN
ejpam-6994	351	19	ali	ali	PROPN
ejpam-6994	351	20	.	.	PUNCT
ejpam-6994	352	1	the	the	DET
ejpam-6994	352	2	effect	effect	NOUN
ejpam-6994	352	3	of	of	ADP
ejpam-6994	352	4	symptoms	symptom	NOUN
ejpam-6994	352	5	on	on	ADP
ejpam-6994	352	6	the	the	DET
ejpam-6994	352	7	survival	survival	NOUN
ejpam-6994	352	8	time	time	NOUN
ejpam-6994	352	9	of	of	ADP
ejpam-6994	352	10	coronavirus	coronavirus	NOUN
ejpam-6994	352	11	patients	patient	NOUN
ejpam-6994	352	12	in	in	ADP
ejpam-6994	352	13	the	the	DET
ejpam-6994	352	14	sudanese	sudanese	ADJ
ejpam-6994	352	15	population	population	NOUN
ejpam-6994	352	16	.	.	PUNCT
ejpam-6994	353	1	international	international	ADJ
ejpam-6994	353	2	journal	journal	PROPN
ejpam-6994	353	3	of	of	ADP
ejpam-6994	353	4	statistics	statistic	NOUN
ejpam-6994	353	5	in	in	ADP
ejpam-6994	353	6	medical	medical	ADJ
ejpam-6994	353	7	research	research	NOUN
ejpam-6994	353	8	,	,	PUNCT
ejpam-6994	353	9	12:249–256	12:249–256	NUM
ejpam-6994	353	10	,	,	PUNCT
ejpam-6994	353	11	2023	2023	NUM
ejpam-6994	353	12	.	.	PUNCT
ejpam-6994	354	1	[	[	X
ejpam-6994	354	2	15	15	NUM
ejpam-6994	354	3	]	]	PUNCT
ejpam-6994	354	4	x.	x.	NOUN
ejpam-6994	354	5	gao	gao	PROPN
ejpam-6994	354	6	and	and	CCONJ
ejpam-6994	354	7	y.	y.	PROPN
ejpam-6994	354	8	liu	liu	PROPN
ejpam-6994	354	9	.	.	PUNCT
ejpam-6994	355	1	queuing	queue	VERB
ejpam-6994	355	2	systems	system	NOUN
ejpam-6994	355	3	analysis	analysis	NOUN
ejpam-6994	355	4	with	with	ADP
ejpam-6994	355	5	discrete	discrete	ADJ
ejpam-6994	355	6	-	-	PUNCT
ejpam-6994	355	7	time	time	NOUN
ejpam-6994	355	8	arrivals	arrival	NOUN
ejpam-6994	355	9	and	and	CCONJ
ejpam-6994	355	10	services	service	NOUN
ejpam-6994	355	11	.	.	PUNCT
ejpam-6994	356	1	annals	annal	NOUN
ejpam-6994	356	2	of	of	ADP
ejpam-6994	356	3	operations	operation	NOUN
ejpam-6994	356	4	research	research	NOUN
ejpam-6994	356	5	,	,	PUNCT
ejpam-6994	356	6	299(2):467–489	299(2):467–489	PROPN
ejpam-6994	356	7	,	,	PUNCT
ejpam-6994	356	8	2021	2021	NUM
ejpam-6994	356	9	.	.	PUNCT
ejpam-6994	357	1	[	[	X
ejpam-6994	357	2	16	16	NUM
ejpam-6994	357	3	]	]	PUNCT
ejpam-6994	357	4	m.	m.	NOUN
ejpam-6994	357	5	harchol	harchol	NOUN
ejpam-6994	357	6	-	-	PUNCT
ejpam-6994	357	7	balter	balter	NOUN
ejpam-6994	357	8	.	.	PUNCT
ejpam-6994	358	1	performance	performance	NOUN
ejpam-6994	358	2	modeling	modeling	NOUN
ejpam-6994	358	3	and	and	CCONJ
ejpam-6994	358	4	design	design	NOUN
ejpam-6994	358	5	of	of	ADP
ejpam-6994	358	6	computer	computer	NOUN
ejpam-6994	358	7	systems	system	NOUN
ejpam-6994	358	8	:	:	PUNCT
ejpam-6994	358	9	queueing	queue	VERB
ejpam-6994	358	10	theory	theory	NOUN
ejpam-6994	358	11	in	in	ADP
ejpam-6994	358	12	action	action	NOUN
ejpam-6994	358	13	.	.	PUNCT
ejpam-6994	359	1	cambridge	cambridge	PROPN
ejpam-6994	359	2	university	university	PROPN
ejpam-6994	359	3	press	press	NOUN
ejpam-6994	359	4	,	,	PUNCT
ejpam-6994	359	5	2022	2022	NUM
ejpam-6994	359	6	.	.	PUNCT
ejpam-6994	360	1	[	[	X
ejpam-6994	360	2	17	17	NUM
ejpam-6994	360	3	]	]	PUNCT
ejpam-6994	360	4	s.	s.	PROPN
ejpam-6994	360	5	al	al	PROPN
ejpam-6994	360	6	zahrani	zahrani	PROPN
ejpam-6994	360	7	,	,	PUNCT
ejpam-6994	360	8	f.	f.	PROPN
ejpam-6994	360	9	a.	a.	PROPN
ejpam-6994	360	10	r.	r.	PROPN
ejpam-6994	360	11	al	al	PROPN
ejpam-6994	360	12	sameeh	sameeh	PROPN
ejpam-6994	360	13	,	,	PUNCT
ejpam-6994	360	14	a.	a.	PROPN
ejpam-6994	360	15	c.	c.	PROPN
ejpam-6994	360	16	m.	m.	PROPN
ejpam-6994	360	17	musa	musa	PROPN
ejpam-6994	360	18	,	,	PUNCT
ejpam-6994	360	19	and	and	CCONJ
ejpam-6994	360	20	a.	a.	NOUN
ejpam-6994	360	21	a.	a.	NOUN
ejpam-6994	360	22	shokeralla	shokeralla	PROPN
ejpam-6994	360	23	.	.	PUNCT
ejpam-6994	361	1	forecasting	forecasting	NOUN
ejpam-6994	361	2	diabetes	diabetes	NOUN
ejpam-6994	361	3	patients	patient	NOUN
ejpam-6994	361	4	attendance	attendance	VERB
ejpam-6994	361	5	at	at	ADP
ejpam-6994	361	6	al	al	PROPN
ejpam-6994	361	7	-	-	PUNCT
ejpam-6994	361	8	baha	baha	PROPN
ejpam-6994	361	9	hospitals	hospital	NOUN
ejpam-6994	361	10	using	use	VERB
ejpam-6994	361	11	autoregressive	autoregressive	ADJ
ejpam-6994	361	12	fractional	fractional	ADJ
ejpam-6994	361	13	integrated	integrated	ADJ
ejpam-6994	361	14	moving	move	VERB
ejpam-6994	361	15	average	average	ADJ
ejpam-6994	361	16	(	(	PUNCT
ejpam-6994	361	17	arfima	arfima	NOUN
ejpam-6994	361	18	)	)	PUNCT
ejpam-6994	361	19	models	model	NOUN
ejpam-6994	361	20	.	.	PUNCT
ejpam-6994	362	1	journal	journal	NOUN
ejpam-6994	362	2	of	of	ADP
ejpam-6994	362	3	data	datum	NOUN
ejpam-6994	362	4	analysis	analysis	NOUN
ejpam-6994	362	5	and	and	CCONJ
ejpam-6994	362	6	information	information	NOUN
ejpam-6994	362	7	a.	a.	NOUN
ejpam-6994	362	8	a.	a.	NOUN
ejpam-6994	362	9	shokeralla	shokeralla	PROPN
ejpam-6994	362	10	/	/	SYM
ejpam-6994	362	11	eur	eur	PROPN
ejpam-6994	362	12	.	.	PUNCT
ejpam-6994	363	1	j.	j.	PROPN
ejpam-6994	363	2	pure	pure	PROPN
ejpam-6994	363	3	appl	appl	PROPN
ejpam-6994	363	4	.	.	PROPN
ejpam-6994	363	5	math	math	PROPN
ejpam-6994	363	6	,	,	PUNCT
ejpam-6994	363	7	18	18	NUM
ejpam-6994	363	8	(	(	PUNCT
ejpam-6994	363	9	4	4	NUM
ejpam-6994	363	10	)	)	PUNCT
ejpam-6994	363	11	(	(	PUNCT
ejpam-6994	363	12	2025	2025	NUM
ejpam-6994	363	13	)	)	PUNCT
ejpam-6994	363	14	,	,	PUNCT
ejpam-6994	363	15	6994	6994	NUM
ejpam-6994	363	16	21	21	NUM
ejpam-6994	363	17	of	of	ADP
ejpam-6994	363	18	22	22	NUM
ejpam-6994	363	19	processing	processing	NOUN
ejpam-6994	363	20	,	,	PUNCT
ejpam-6994	363	21	8:183–194	8:183–194	NOUN
ejpam-6994	363	22	,	,	PUNCT
ejpam-6994	363	23	2020	2020	NUM
ejpam-6994	363	24	.	.	PUNCT
ejpam-6994	364	1	[	[	X
ejpam-6994	364	2	18	18	NUM
ejpam-6994	364	3	]	]	X
ejpam-6994	364	4	r.	r.	PROPN
ejpam-6994	364	5	kumar	kumar	PROPN
ejpam-6994	364	6	and	and	CCONJ
ejpam-6994	364	7	a.	a.	PROPN
ejpam-6994	364	8	arora	arora	PROPN
ejpam-6994	364	9	.	.	PUNCT
ejpam-6994	365	1	comparative	comparative	ADJ
ejpam-6994	365	2	study	study	NOUN
ejpam-6994	365	3	on	on	ADP
ejpam-6994	365	4	performance	performance	NOUN
ejpam-6994	365	5	of	of	ADP
ejpam-6994	365	6	m	m	PROPN
ejpam-6994	365	7	/	/	SYM
ejpam-6994	365	8	m/1	m/1	NOUN
ejpam-6994	365	9	queues	queue	NOUN
ejpam-6994	365	10	using	use	VERB
ejpam-6994	365	11	transform	transform	NOUN
ejpam-6994	365	12	techniques	technique	NOUN
ejpam-6994	365	13	.	.	PUNCT
ejpam-6994	366	1	operations	operation	NOUN
ejpam-6994	366	2	research	research	NOUN
ejpam-6994	366	3	perspectives	perspective	NOUN
ejpam-6994	366	4	,	,	PUNCT
ejpam-6994	366	5	8:100188	8:100188	NUM
ejpam-6994	366	6	,	,	PUNCT
ejpam-6994	366	7	2021	2021	NUM
ejpam-6994	366	8	.	.	PUNCT
ejpam-6994	367	1	[	[	X
ejpam-6994	367	2	19	19	NUM
ejpam-6994	367	3	]	]	X
ejpam-6994	367	4	d.	d.	PROPN
ejpam-6994	367	5	lee	lee	PROPN
ejpam-6994	367	6	and	and	CCONJ
ejpam-6994	367	7	h.	h.	PROPN
ejpam-6994	367	8	kim	kim	PROPN
ejpam-6994	367	9	.	.	PUNCT
ejpam-6994	368	1	bayesian	bayesian	NOUN
ejpam-6994	368	2	reliability	reliability	NOUN
ejpam-6994	368	3	inference	inference	NOUN
ejpam-6994	368	4	in	in	ADP
ejpam-6994	368	5	call	call	NOUN
ejpam-6994	368	6	centers	center	NOUN
ejpam-6994	368	7	using	use	VERB
ejpam-6994	368	8	transform	transform	NOUN
ejpam-6994	368	9	-	-	PUNCT
ejpam-6994	368	10	based	base	VERB
ejpam-6994	368	11	models	model	NOUN
ejpam-6994	368	12	.	.	PUNCT
ejpam-6994	369	1	journal	journal	NOUN
ejpam-6994	369	2	of	of	ADP
ejpam-6994	369	3	the	the	DET
ejpam-6994	369	4	operational	operational	ADJ
ejpam-6994	369	5	research	research	NOUN
ejpam-6994	369	6	society	society	NOUN
ejpam-6994	369	7	,	,	PUNCT
ejpam-6994	369	8	74(5):1032–1047	74(5):1032–1047	NUM
ejpam-6994	369	9	,	,	PUNCT
ejpam-6994	369	10	2023	2023	NUM
ejpam-6994	369	11	.	.	PUNCT
ejpam-6994	370	1	[	[	X
ejpam-6994	370	2	20	20	NUM
ejpam-6994	370	3	]	]	PUNCT
ejpam-6994	370	4	a.	a.	NOUN
ejpam-6994	370	5	a.	a.	NOUN
ejpam-6994	370	6	shokeralla	shokeralla	PROPN
ejpam-6994	370	7	.	.	PUNCT
ejpam-6994	371	1	a	a	DET
ejpam-6994	371	2	comparative	comparative	ADJ
ejpam-6994	371	3	analysis	analysis	NOUN
ejpam-6994	371	4	of	of	ADP
ejpam-6994	371	5	nnar	nnar	NOUN
ejpam-6994	371	6	and	and	CCONJ
ejpam-6994	371	7	lstm	lstm	NOUN
ejpam-6994	371	8	models	model	NOUN
ejpam-6994	371	9	for	for	ADP
ejpam-6994	371	10	shortterm	shortterm	PROPN
ejpam-6994	371	11	covid-19	covid-19	PROPN
ejpam-6994	371	12	forecasting	forecasting	NOUN
ejpam-6994	371	13	in	in	ADP
ejpam-6994	371	14	saudi	saudi	PROPN
ejpam-6994	371	15	arabia	arabia	PROPN
ejpam-6994	371	16	.	.	PUNCT
ejpam-6994	372	1	international	international	ADJ
ejpam-6994	372	2	journal	journal	PROPN
ejpam-6994	372	3	of	of	ADP
ejpam-6994	372	4	soft	soft	ADJ
ejpam-6994	372	5	computing	computing	NOUN
ejpam-6994	372	6	and	and	CCONJ
ejpam-6994	372	7	engineering	engineering	NOUN
ejpam-6994	372	8	(	(	PUNCT
ejpam-6994	372	9	ijsce	ijsce	INTJ
ejpam-6994	372	10	)	)	PUNCT
ejpam-6994	372	11	,	,	PUNCT
ejpam-6994	372	12	15(2):31–39	15(2):31–39	NUM
ejpam-6994	372	13	,	,	PUNCT
ejpam-6994	372	14	2025	2025	NUM
ejpam-6994	372	15	.	.	PUNCT
ejpam-6994	373	1	[	[	X
ejpam-6994	373	2	21	21	NUM
ejpam-6994	373	3	]	]	X
ejpam-6994	373	4	s.	s.	PROPN
ejpam-6994	373	5	m.	m.	PROPN
ejpam-6994	373	6	alzahrani	alzahrani	PROPN
ejpam-6994	373	7	and	and	CCONJ
ejpam-6994	373	8	f.	f.	PROPN
ejpam-6994	373	9	e.	e.	PROPN
ejpam-6994	373	10	guma	guma	PROPN
ejpam-6994	373	11	.	.	PUNCT
ejpam-6994	374	1	improving	improve	VERB
ejpam-6994	374	2	seasonal	seasonal	ADJ
ejpam-6994	374	3	influenza	influenza	NOUN
ejpam-6994	374	4	forecasting	forecasting	NOUN
ejpam-6994	374	5	using	use	VERB
ejpam-6994	374	6	time	time	NOUN
ejpam-6994	374	7	series	series	PROPN
ejpam-6994	374	8	machine	machine	NOUN
ejpam-6994	374	9	learning	learn	VERB
ejpam-6994	374	10	techniques	technique	NOUN
ejpam-6994	374	11	.	.	PUNCT
ejpam-6994	375	1	journal	journal	PROPN
ejpam-6994	375	2	of	of	ADP
ejpam-6994	375	3	information	information	NOUN
ejpam-6994	375	4	systems	system	NOUN
ejpam-6994	375	5	engineering	engineering	NOUN
ejpam-6994	375	6	and	and	CCONJ
ejpam-6994	375	7	management	management	NOUN
ejpam-6994	375	8	,	,	PUNCT
ejpam-6994	375	9	9(4):30195	9(4):30195	NOUN
ejpam-6994	375	10	,	,	PUNCT
ejpam-6994	375	11	2024	2024	NUM
ejpam-6994	375	12	.	.	PUNCT
ejpam-6994	376	1	[	[	X
ejpam-6994	376	2	22	22	NUM
ejpam-6994	376	3	]	]	PUNCT
ejpam-6994	376	4	m.	m.	NOUN
ejpam-6994	376	5	li	li	PROPN
ejpam-6994	376	6	and	and	CCONJ
ejpam-6994	376	7	y.	y.	PROPN
ejpam-6994	376	8	liu	liu	PROPN
ejpam-6994	376	9	.	.	PUNCT
ejpam-6994	377	1	structural	structural	ADJ
ejpam-6994	377	2	comparisons	comparison	NOUN
ejpam-6994	377	3	in	in	ADP
ejpam-6994	377	4	discrete	discrete	ADJ
ejpam-6994	377	5	-	-	PUNCT
ejpam-6994	377	6	time	time	NOUN
ejpam-6994	377	7	markov	markov	NOUN
ejpam-6994	377	8	chains	chain	NOUN
ejpam-6994	377	9	.	.	PUNCT
ejpam-6994	378	1	journal	journal	NOUN
ejpam-6994	378	2	of	of	ADP
ejpam-6994	378	3	applied	apply	VERB
ejpam-6994	378	4	probability	probability	NOUN
ejpam-6994	378	5	,	,	PUNCT
ejpam-6994	378	6	59(3):651–667	59(3):651–667	NOUN
ejpam-6994	378	7	,	,	PUNCT
ejpam-6994	378	8	2022	2022	NUM
ejpam-6994	378	9	.	.	PUNCT
ejpam-6994	379	1	[	[	X
ejpam-6994	379	2	23	23	NUM
ejpam-6994	379	3	]	]	PUNCT
ejpam-6994	379	4	x.	x.	PROPN
ejpam-6994	379	5	liu	liu	PROPN
ejpam-6994	379	6	and	and	CCONJ
ejpam-6994	379	7	w.	w.	PROPN
ejpam-6994	379	8	whitt	whitt	PROPN
ejpam-6994	379	9	.	.	PUNCT
ejpam-6994	380	1	a	a	DET
ejpam-6994	380	2	functional	functional	ADJ
ejpam-6994	380	3	central	central	ADJ
ejpam-6994	380	4	limit	limit	NOUN
ejpam-6994	380	5	theorem	theorem	VERB
ejpam-6994	380	6	for	for	ADP
ejpam-6994	380	7	the	the	DET
ejpam-6994	380	8	virtual	virtual	ADJ
ejpam-6994	380	9	waiting	waiting	NOUN
ejpam-6994	380	10	time	time	NOUN
ejpam-6994	380	11	process	process	NOUN
ejpam-6994	380	12	in	in	ADP
ejpam-6994	380	13	the	the	DET
ejpam-6994	380	14	g	g	NOUN
ejpam-6994	380	15	/	/	SYM
ejpam-6994	380	16	gi	gi	NOUN
ejpam-6994	380	17	/	/	SYM
ejpam-6994	380	18	n	n	PRON
ejpam-6994	380	19	queue	queue	NOUN
ejpam-6994	380	20	.	.	PUNCT
ejpam-6994	381	1	queueing	queue	VERB
ejpam-6994	381	2	systems	system	NOUN
ejpam-6994	381	3	,	,	PUNCT
ejpam-6994	381	4	89:421–452	89:421–452	NOUN
ejpam-6994	381	5	,	,	PUNCT
ejpam-6994	381	6	2018	2018	NUM
ejpam-6994	381	7	.	.	PUNCT
ejpam-6994	382	1	[	[	X
ejpam-6994	382	2	24	24	NUM
ejpam-6994	382	3	]	]	PUNCT
ejpam-6994	382	4	a.	a.	NOUN
ejpam-6994	382	5	mandelbaum	mandelbaum	PROPN
ejpam-6994	382	6	and	and	CCONJ
ejpam-6994	382	7	s.	s.	PROPN
ejpam-6994	382	8	zeltyn	zeltyn	PROPN
ejpam-6994	382	9	.	.	PUNCT
ejpam-6994	383	1	data	data	PROPN
ejpam-6994	383	2	,	,	PUNCT
ejpam-6994	383	3	models	model	NOUN
ejpam-6994	383	4	,	,	PUNCT
ejpam-6994	383	5	and	and	CCONJ
ejpam-6994	383	6	learning	learn	VERB
ejpam-6994	383	7	in	in	ADP
ejpam-6994	383	8	call	call	NOUN
ejpam-6994	383	9	centers	center	NOUN
ejpam-6994	383	10	.	.	PUNCT
ejpam-6994	384	1	manufacturing	manufacturing	NOUN
ejpam-6994	384	2	&	&	CCONJ
ejpam-6994	384	3	service	service	NOUN
ejpam-6994	384	4	operations	operation	NOUN
ejpam-6994	384	5	management	management	NOUN
ejpam-6994	384	6	,	,	PUNCT
ejpam-6994	384	7	22(1):15–39	22(1):15–39	NUM
ejpam-6994	384	8	,	,	PUNCT
ejpam-6994	384	9	2020	2020	NUM
ejpam-6994	384	10	.	.	PUNCT
ejpam-6994	385	1	[	[	X
ejpam-6994	385	2	25	25	NUM
ejpam-6994	385	3	]	]	PUNCT
ejpam-6994	385	4	a.	a.	PROPN
ejpam-6994	385	5	k.	k.	PROPN
ejpam-6994	385	6	l.	l.	PROPN
ejpam-6994	385	7	bezerra	bezerra	PROPN
ejpam-6994	385	8	and	and	CCONJ
ejpam-6994	385	9	é.	é.	PROPN
ejpam-6994	385	10	m.	m.	PROPN
ejpam-6994	385	11	c.	c.	PROPN
ejpam-6994	385	12	santos	santos	PROPN
ejpam-6994	385	13	.	.	PUNCT
ejpam-6994	386	1	prediction	prediction	NOUN
ejpam-6994	386	2	of	of	ADP
ejpam-6994	386	3	the	the	DET
ejpam-6994	386	4	daily	daily	ADJ
ejpam-6994	386	5	number	number	NOUN
ejpam-6994	386	6	of	of	ADP
ejpam-6994	386	7	confirmed	confirm	VERB
ejpam-6994	386	8	cases	case	NOUN
ejpam-6994	386	9	of	of	ADP
ejpam-6994	386	10	covid-19	covid-19	PROPN
ejpam-6994	386	11	in	in	ADP
ejpam-6994	386	12	sudan	sudan	PROPN
ejpam-6994	386	13	with	with	ADP
ejpam-6994	386	14	arima	arima	PROPN
ejpam-6994	386	15	and	and	CCONJ
ejpam-6994	386	16	holt	holt	PROPN
ejpam-6994	386	17	-	-	PUNCT
ejpam-6994	386	18	winters	winter	NOUN
ejpam-6994	386	19	exponential	exponential	ADJ
ejpam-6994	386	20	smoothing	smoothing	NOUN
ejpam-6994	386	21	.	.	PUNCT
ejpam-6994	387	1	international	international	ADJ
ejpam-6994	387	2	journal	journal	PROPN
ejpam-6994	387	3	of	of	ADP
ejpam-6994	387	4	development	development	NOUN
ejpam-6994	387	5	research	research	NOUN
ejpam-6994	387	6	,	,	PUNCT
ejpam-6994	387	7	10(8):39408–39413	10(8):39408–39413	NUM
ejpam-6994	387	8	,	,	PUNCT
ejpam-6994	387	9	2020	2020	NUM
ejpam-6994	387	10	.	.	PUNCT
ejpam-6994	388	1	[	[	X
ejpam-6994	388	2	26	26	NUM
ejpam-6994	388	3	]	]	X
ejpam-6994	388	4	r.	r.	PROPN
ejpam-6994	388	5	pérez	pérez	PROPN
ejpam-6994	388	6	-	-	PUNCT
ejpam-6994	388	7	ocón	ocón	PROPN
ejpam-6994	388	8	and	and	CCONJ
ejpam-6994	388	9	j.	j.	PROPN
ejpam-6994	388	10	c.	c.	PROPN
ejpam-6994	388	11	cortés	cortés	PROPN
ejpam-6994	388	12	.	.	PUNCT
ejpam-6994	389	1	analysis	analysis	NOUN
ejpam-6994	389	2	of	of	ADP
ejpam-6994	389	3	discrete	discrete	ADJ
ejpam-6994	389	4	-	-	PUNCT
ejpam-6994	389	5	time	time	NOUN
ejpam-6994	389	6	repairable	repairable	ADJ
ejpam-6994	389	7	systems	system	NOUN
ejpam-6994	389	8	using	use	VERB
ejpam-6994	389	9	generating	generating	NOUN
ejpam-6994	389	10	functions	function	NOUN
ejpam-6994	389	11	.	.	PUNCT
ejpam-6994	390	1	mathematics	mathematic	NOUN
ejpam-6994	390	2	and	and	CCONJ
ejpam-6994	390	3	computers	computer	NOUN
ejpam-6994	390	4	in	in	ADP
ejpam-6994	390	5	simulation	simulation	NOUN
ejpam-6994	390	6	,	,	PUNCT
ejpam-6994	390	7	123:90–100	123:90–100	NUM
ejpam-6994	390	8	,	,	PUNCT
ejpam-6994	390	9	2016	2016	NUM
ejpam-6994	390	10	.	.	PUNCT
ejpam-6994	391	1	[	[	X
ejpam-6994	391	2	27	27	NUM
ejpam-6994	391	3	]	]	X
ejpam-6994	391	4	l.	l.	PROPN
ejpam-6994	391	5	santos	santos	PROPN
ejpam-6994	391	6	and	and	CCONJ
ejpam-6994	391	7	j.	j.	PROPN
ejpam-6994	391	8	barata	barata	PROPN
ejpam-6994	391	9	.	.	PUNCT
ejpam-6994	392	1	practical	practical	ADJ
ejpam-6994	392	2	considerations	consideration	NOUN
ejpam-6994	392	3	in	in	ADP
ejpam-6994	392	4	stochastic	stochastic	ADJ
ejpam-6994	392	5	modeling	modeling	NOUN
ejpam-6994	392	6	of	of	ADP
ejpam-6994	392	7	telecommunication	telecommunication	NOUN
ejpam-6994	392	8	systems	system	NOUN
ejpam-6994	392	9	.	.	PUNCT
ejpam-6994	393	1	telecommunications	telecommunication	NOUN
ejpam-6994	393	2	policy	policy	NOUN
ejpam-6994	393	3	,	,	PUNCT
ejpam-6994	393	4	44(6):101949	44(6):101949	NUM
ejpam-6994	393	5	,	,	PUNCT
ejpam-6994	393	6	2020	2020	NUM
ejpam-6994	393	7	.	.	PUNCT
ejpam-6994	394	1	[	[	X
ejpam-6994	394	2	28	28	NUM
ejpam-6994	394	3	]	]	X
ejpam-6994	394	4	n.	n.	NOUN
ejpam-6994	394	5	shah	shah	PROPN
ejpam-6994	394	6	and	and	CCONJ
ejpam-6994	394	7	v.	v.	ADP
ejpam-6994	394	8	modi	modi	PROPN
ejpam-6994	394	9	.	.	PUNCT
ejpam-6994	395	1	laplace	laplace	NOUN
ejpam-6994	395	2	-	-	PUNCT
ejpam-6994	395	3	based	base	VERB
ejpam-6994	395	4	forecasting	forecasting	NOUN
ejpam-6994	395	5	for	for	ADP
ejpam-6994	395	6	dynamic	dynamic	ADJ
ejpam-6994	395	7	service	service	NOUN
ejpam-6994	395	8	environments	environment	NOUN
ejpam-6994	395	9	.	.	PUNCT
ejpam-6994	396	1	computational	computational	ADJ
ejpam-6994	396	2	statistics	statistic	NOUN
ejpam-6994	396	3	,	,	PUNCT
ejpam-6994	396	4	38(1):221–240	38(1):221–240	NUM
ejpam-6994	396	5	,	,	PUNCT
ejpam-6994	396	6	2023	2023	NUM
ejpam-6994	396	7	.	.	PUNCT
ejpam-6994	397	1	[	[	X
ejpam-6994	397	2	29	29	NUM
ejpam-6994	397	3	]	]	PUNCT
ejpam-6994	397	4	a.	a.	NOUN
ejpam-6994	397	5	singh	singh	PROPN
ejpam-6994	397	6	and	and	CCONJ
ejpam-6994	397	7	r.	r.	PROPN
ejpam-6994	397	8	kumar	kumar	PROPN
ejpam-6994	397	9	.	.	PUNCT
ejpam-6994	398	1	reliability	reliability	NOUN
ejpam-6994	398	2	modeling	modeling	NOUN
ejpam-6994	398	3	of	of	ADP
ejpam-6994	398	4	multi	multi	ADJ
ejpam-6994	398	5	-	-	ADJ
ejpam-6994	398	6	state	state	ADJ
ejpam-6994	398	7	systems	system	NOUN
ejpam-6994	398	8	with	with	ADP
ejpam-6994	398	9	discrete	discrete	ADJ
ejpam-6994	398	10	failures	failure	NOUN
ejpam-6994	398	11	.	.	PUNCT
ejpam-6994	399	1	international	international	ADJ
ejpam-6994	399	2	journal	journal	PROPN
ejpam-6994	399	3	of	of	ADP
ejpam-6994	399	4	system	system	NOUN
ejpam-6994	399	5	assurance	assurance	NOUN
ejpam-6994	399	6	engineering	engineering	NOUN
ejpam-6994	399	7	and	and	CCONJ
ejpam-6994	399	8	management	management	NOUN
ejpam-6994	399	9	,	,	PUNCT
ejpam-6994	399	10	9(4):1083–1092	9(4):1083–1092	PROPN
ejpam-6994	399	11	,	,	PUNCT
ejpam-6994	399	12	2018	2018	NUM
ejpam-6994	399	13	.	.	PUNCT
ejpam-6994	400	1	[	[	X
ejpam-6994	400	2	30	30	NUM
ejpam-6994	400	3	]	]	X
ejpam-6994	400	4	j.	j.	PROPN
ejpam-6994	400	5	singh	singh	PROPN
ejpam-6994	400	6	and	and	CCONJ
ejpam-6994	400	7	g.	g.	PROPN
ejpam-6994	400	8	taneja	taneja	PROPN
ejpam-6994	400	9	.	.	PUNCT
ejpam-6994	401	1	measuring	measure	VERB
ejpam-6994	401	2	service	service	NOUN
ejpam-6994	401	3	reliability	reliability	NOUN
ejpam-6994	401	4	using	use	VERB
ejpam-6994	401	5	laplace	laplace	NOUN
ejpam-6994	401	6	-	-	PUNCT
ejpam-6994	401	7	transformed	transform	VERB
ejpam-6994	401	8	residual	residual	ADJ
ejpam-6994	401	9	life	life	NOUN
ejpam-6994	401	10	.	.	PUNCT
ejpam-6994	402	1	mathematics	mathematic	NOUN
ejpam-6994	402	2	,	,	PUNCT
ejpam-6994	402	3	10(8):1356	10(8):1356	NUM
ejpam-6994	402	4	,	,	PUNCT
ejpam-6994	402	5	2022	2022	NUM
ejpam-6994	402	6	.	.	PUNCT
ejpam-6994	403	1	[	[	X
ejpam-6994	403	2	31	31	NUM
ejpam-6994	403	3	]	]	PUNCT
ejpam-6994	403	4	m.	m.	PROPN
ejpam-6994	403	5	s.	s.	PROPN
ejpam-6994	403	6	ali	ali	PROPN
ejpam-6994	403	7	,	,	PUNCT
ejpam-6994	403	8	a.	a.	PROPN
ejpam-6994	403	9	m.	m.	PROPN
ejpam-6994	403	10	a.	a.	PROPN
ejpam-6994	403	11	abd	abd	PROPN
ejpam-6994	403	12	elmotaleb	elmotaleb	PROPN
ejpam-6994	403	13	,	,	PUNCT
ejpam-6994	403	14	a.	a.	NOUN
ejpam-6994	403	15	a.	a.	NOUN
ejpam-6994	403	16	shokeralla	shokeralla	PROPN
ejpam-6994	403	17	,	,	PUNCT
ejpam-6994	403	18	and	and	CCONJ
ejpam-6994	403	19	m.	m.	NOUN
ejpam-6994	403	20	elamin	elamin	NOUN
ejpam-6994	403	21	.	.	PUNCT
ejpam-6994	404	1	a	a	DET
ejpam-6994	404	2	novel	novel	ADJ
ejpam-6994	404	3	formula	formula	NOUN
ejpam-6994	404	4	for	for	ADP
ejpam-6994	404	5	solving	solve	VERB
ejpam-6994	404	6	integral	integral	ADJ
ejpam-6994	404	7	transforms	transform	NOUN
ejpam-6994	404	8	.	.	PUNCT
ejpam-6994	405	1	appl	appl	PROPN
ejpam-6994	405	2	.	.	PROPN
ejpam-6994	405	3	math	math	PROPN
ejpam-6994	405	4	,	,	PUNCT
ejpam-6994	405	5	17(6):1171–1175	17(6):1171–1175	NUM
ejpam-6994	405	6	,	,	PUNCT
ejpam-6994	405	7	2023	2023	NUM
ejpam-6994	405	8	.	.	PUNCT
ejpam-6994	406	1	[	[	X
ejpam-6994	406	2	32	32	NUM
ejpam-6994	406	3	]	]	PUNCT
ejpam-6994	406	4	r.	r.	PROPN
ejpam-6994	406	5	talreja	talreja	PROPN
ejpam-6994	406	6	and	and	CCONJ
ejpam-6994	406	7	w.	w.	PROPN
ejpam-6994	406	8	whitt	whitt	PROPN
ejpam-6994	406	9	.	.	PUNCT
ejpam-6994	407	1	heavy	heavy	ADJ
ejpam-6994	407	2	-	-	PUNCT
ejpam-6994	407	3	traffic	traffic	NOUN
ejpam-6994	407	4	limits	limit	NOUN
ejpam-6994	407	5	for	for	ADP
ejpam-6994	407	6	waiting	wait	VERB
ejpam-6994	407	7	times	time	NOUN
ejpam-6994	407	8	in	in	ADP
ejpam-6994	407	9	many	many	ADJ
ejpam-6994	407	10	-	-	PUNCT
ejpam-6994	407	11	server	server	NOUN
ejpam-6994	407	12	queues	queue	NOUN
ejpam-6994	407	13	with	with	ADP
ejpam-6994	407	14	time	time	NOUN
ejpam-6994	407	15	-	-	PUNCT
ejpam-6994	407	16	varying	vary	VERB
ejpam-6994	407	17	parameters	parameter	NOUN
ejpam-6994	407	18	.	.	PUNCT
ejpam-6994	408	1	operations	operation	NOUN
ejpam-6994	408	2	research	research	NOUN
ejpam-6994	408	3	,	,	PUNCT
ejpam-6994	408	4	65(6):1462–1480	65(6):1462–1480	PROPN
ejpam-6994	408	5	,	,	PUNCT
ejpam-6994	408	6	2017	2017	NUM
ejpam-6994	408	7	.	.	PUNCT
ejpam-6994	409	1	[	[	X
ejpam-6994	409	2	33	33	NUM
ejpam-6994	409	3	]	]	PUNCT
ejpam-6994	409	4	j.	j.	PROPN
ejpam-6994	409	5	h.	h.	PROPN
ejpam-6994	409	6	tien	tien	PROPN
ejpam-6994	409	7	and	and	CCONJ
ejpam-6994	409	8	d.	d.	PROPN
ejpam-6994	409	9	j.	j.	PROPN
ejpam-6994	409	10	d.	d.	PROPN
ejpam-6994	409	11	earn	earn	PROPN
ejpam-6994	409	12	.	.	PUNCT
ejpam-6994	410	1	multiple	multiple	ADJ
ejpam-6994	410	2	transmission	transmission	NOUN
ejpam-6994	410	3	pathways	pathway	NOUN
ejpam-6994	410	4	and	and	CCONJ
ejpam-6994	410	5	disease	disease	NOUN
ejpam-6994	410	6	dynamics	dynamic	NOUN
ejpam-6994	410	7	in	in	ADP
ejpam-6994	410	8	a	a	DET
ejpam-6994	410	9	waterborne	waterborne	ADJ
ejpam-6994	410	10	pathogen	pathogen	NOUN
ejpam-6994	410	11	model	model	NOUN
ejpam-6994	410	12	.	.	PUNCT
ejpam-6994	411	1	bulletin	bulletin	NOUN
ejpam-6994	411	2	of	of	ADP
ejpam-6994	411	3	mathematical	mathematical	ADJ
ejpam-6994	411	4	biology	biology	NOUN
ejpam-6994	411	5	,	,	PUNCT
ejpam-6994	411	6	78(11):2203–2228	78(11):2203–2228	NUM
ejpam-6994	411	7	,	,	PUNCT
ejpam-6994	411	8	2016	2016	NUM
ejpam-6994	411	9	.	.	PUNCT
ejpam-6994	412	1	[	[	X
ejpam-6994	412	2	34	34	NUM
ejpam-6994	412	3	]	]	X
ejpam-6994	412	4	i.	i.	PROPN
ejpam-6994	412	5	daqqa	daqqa	PROPN
ejpam-6994	412	6	,	,	PUNCT
ejpam-6994	412	7	a.	a.	NOUN
ejpam-6994	412	8	m.	m.	NOUN
ejpam-6994	412	9	almarashi	almarashi	PROPN
ejpam-6994	412	10	,	,	PUNCT
ejpam-6994	412	11	m.	m.	NOUN
ejpam-6994	412	12	m.	m.	NOUN
ejpam-6994	412	13	bashier	bashier	NOUN
ejpam-6994	412	14	,	,	PUNCT
ejpam-6994	412	15	m.	m.	NOUN
ejpam-6994	412	16	aripov	aripov	PROPN
ejpam-6994	412	17	,	,	PUNCT
ejpam-6994	412	18	a.	a.	PROPN
ejpam-6994	412	19	o.	o.	PROPN
ejpam-6994	412	20	i.	i.	PROPN
ejpam-6994	412	21	abaker	abaker	PROPN
ejpam-6994	412	22	,	,	PUNCT
ejpam-6994	412	23	a.	a.	NOUN
ejpam-6994	412	24	a.	a.	NOUN
ejpam-6994	412	25	alhag	alhag	NOUN
ejpam-6994	412	26	,	,	PUNCT
ejpam-6994	412	27	and	and	CCONJ
ejpam-6994	412	28	a.	a.	NOUN
ejpam-6994	412	29	a.	a.	NOUN
ejpam-6994	412	30	shokeralla	shokeralla	PROPN
ejpam-6994	412	31	.	.	PUNCT
ejpam-6994	413	1	predictive	predictive	ADJ
ejpam-6994	413	2	modeling	modeling	NOUN
ejpam-6994	413	3	of	of	ADP
ejpam-6994	413	4	breast	breast	NOUN
ejpam-6994	413	5	cancer	cancer	NOUN
ejpam-6994	413	6	incidence	incidence	NOUN
ejpam-6994	413	7	:	:	PUNCT
ejpam-6994	413	8	a	a	DET
ejpam-6994	413	9	comparative	comparative	ADJ
ejpam-6994	413	10	study	study	NOUN
ejpam-6994	413	11	of	of	ADP
ejpam-6994	413	12	fuzzy	fuzzy	ADJ
ejpam-6994	413	13	time	time	NOUN
ejpam-6994	413	14	series	series	NOUN
ejpam-6994	413	15	and	and	CCONJ
ejpam-6994	413	16	machine	machine	NOUN
ejpam-6994	413	17	learning	learn	VERB
ejpam-6994	413	18	techniques	technique	NOUN
ejpam-6994	413	19	.	.	PUNCT
ejpam-6994	414	1	journal	journal	PROPN
ejpam-6994	414	2	of	of	ADP
ejpam-6994	414	3	statistics	statistics	PROPN
ejpam-6994	414	4	applications	application	NOUN
ejpam-6994	414	5	&	&	CCONJ
ejpam-6994	414	6	probability	probability	NOUN
ejpam-6994	414	7	,	,	PUNCT
ejpam-6994	414	8	14(2):183–189	14(2):183–189	NUM
ejpam-6994	414	9	,	,	PUNCT
ejpam-6994	414	10	2024	2024	NUM
ejpam-6994	414	11	.	.	PUNCT
ejpam-6994	415	1	[	[	X
ejpam-6994	415	2	35	35	NUM
ejpam-6994	415	3	]	]	PUNCT
ejpam-6994	415	4	j.	j.	PROPN
ejpam-6994	415	5	wang	wang	PROPN
ejpam-6994	415	6	and	and	CCONJ
ejpam-6994	415	7	h.	h.	PROPN
ejpam-6994	415	8	zhang	zhang	PROPN
ejpam-6994	415	9	.	.	PUNCT
ejpam-6994	416	1	advanced	advanced	ADJ
ejpam-6994	416	2	stochastic	stochastic	ADJ
ejpam-6994	416	3	tools	tool	NOUN
ejpam-6994	416	4	for	for	ADP
ejpam-6994	416	5	discrete	discrete	ADJ
ejpam-6994	416	6	reliability	reliability	NOUN
ejpam-6994	416	7	systems	system	NOUN
ejpam-6994	416	8	.	.	PUNCT
ejpam-6994	417	1	a.	a.	NOUN
ejpam-6994	417	2	a.	a.	PROPN
ejpam-6994	417	3	shokeralla	shokeralla	PROPN
ejpam-6994	417	4	/	/	SYM
ejpam-6994	417	5	eur	eur	PROPN
ejpam-6994	417	6	.	.	PUNCT
ejpam-6994	418	1	j.	j.	PROPN
ejpam-6994	418	2	pure	pure	PROPN
ejpam-6994	418	3	appl	appl	PROPN
ejpam-6994	418	4	.	.	PROPN
ejpam-6994	418	5	math	math	PROPN
ejpam-6994	418	6	,	,	PUNCT
ejpam-6994	418	7	18	18	NUM
ejpam-6994	418	8	(	(	PUNCT
ejpam-6994	418	9	4	4	NUM
ejpam-6994	418	10	)	)	PUNCT
ejpam-6994	418	11	(	(	PUNCT
ejpam-6994	418	12	2025	2025	NUM
ejpam-6994	418	13	)	)	PUNCT
ejpam-6994	418	14	,	,	PUNCT
ejpam-6994	418	15	6994	6994	NUM
ejpam-6994	418	16	22	22	NUM
ejpam-6994	418	17	of	of	ADP
ejpam-6994	418	18	22	22	NUM
ejpam-6994	418	19	reliability	reliability	NOUN
ejpam-6994	418	20	engineering	engineering	NOUN
ejpam-6994	418	21	&	&	CCONJ
ejpam-6994	418	22	system	system	NOUN
ejpam-6994	418	23	safety	safety	NOUN
ejpam-6994	418	24	,	,	PUNCT
ejpam-6994	418	25	231:107009	231:107009	NUM
ejpam-6994	418	26	,	,	PUNCT
ejpam-6994	418	27	2023	2023	NUM
ejpam-6994	418	28	.	.	PUNCT
ejpam-6994	419	1	[	[	X
ejpam-6994	419	2	36	36	NUM
ejpam-6994	419	3	]	]	X
ejpam-6994	419	4	w.	w.	PROPN
ejpam-6994	419	5	whitt	whitt	PROPN
ejpam-6994	419	6	.	.	PUNCT
ejpam-6994	420	1	queues	queue	NOUN
ejpam-6994	420	2	with	with	ADP
ejpam-6994	420	3	time	time	NOUN
ejpam-6994	420	4	-	-	PUNCT
ejpam-6994	420	5	varying	vary	VERB
ejpam-6994	420	6	arrivals	arrival	NOUN
ejpam-6994	420	7	and	and	CCONJ
ejpam-6994	420	8	services	service	NOUN
ejpam-6994	420	9	.	.	PUNCT
ejpam-6994	421	1	queueing	queue	VERB
ejpam-6994	421	2	systems	system	NOUN
ejpam-6994	421	3	,	,	PUNCT
ejpam-6994	421	4	96(3	96(3	NUM
ejpam-6994	421	5	–	–	PUNCT
ejpam-6994	421	6	4):183–215	4):183–215	NUM
ejpam-6994	421	7	,	,	PUNCT
ejpam-6994	421	8	2020	2020	NUM
ejpam-6994	421	9	.	.	PUNCT
ejpam-6994	422	1	[	[	X
ejpam-6994	422	2	37	37	NUM
ejpam-6994	422	3	]	]	PUNCT
ejpam-6994	422	4	a.	a.	NOUN
ejpam-6994	422	5	a.	a.	NOUN
ejpam-6994	422	6	shokeralla	shokeralla	PROPN
ejpam-6994	422	7	,	,	PUNCT
ejpam-6994	422	8	a.	a.	PROPN
ejpam-6994	422	9	a.	a.	PROPN
ejpam-6994	422	10	alzharani	alzharani	PROPN
ejpam-6994	422	11	,	,	PUNCT
ejpam-6994	422	12	a.	a.	PROPN
ejpam-6994	422	13	h.	h.	PROPN
ejpam-6994	422	14	abdalla	abdalla	PROPN
ejpam-6994	422	15	,	,	PUNCT
ejpam-6994	422	16	y.	y.	PROPN
ejpam-6994	422	17	m.	m.	PROPN
ejpam-6994	422	18	modawy	modawy	PROPN
ejpam-6994	422	19	,	,	PUNCT
ejpam-6994	422	20	i.	i.	PROPN
ejpam-6994	422	21	elshamy	elshamy	PROPN
ejpam-6994	422	22	,	,	PUNCT
ejpam-6994	422	23	and	and	CCONJ
ejpam-6994	422	24	f.	f.	PROPN
ejpam-6994	422	25	el	el	PROPN
ejpam-6994	422	26	guma	guma	PROPN
ejpam-6994	422	27	.	.	PUNCT
ejpam-6994	423	1	modeling	model	VERB
ejpam-6994	423	2	climate	climate	NOUN
ejpam-6994	423	3	-	-	PUNCT
ejpam-6994	423	4	driven	drive	VERB
ejpam-6994	423	5	cholera	cholera	NOUN
ejpam-6994	423	6	outbreaks	outbreak	NOUN
ejpam-6994	423	7	:	:	PUNCT
ejpam-6994	423	8	a	a	DET
ejpam-6994	423	9	negative	negative	ADJ
ejpam-6994	423	10	binomial	binomial	ADJ
ejpam-6994	423	11	regression	regression	NOUN
ejpam-6994	423	12	framework	framework	NOUN
ejpam-6994	423	13	with	with	ADP
ejpam-6994	423	14	improved	improved	ADJ
ejpam-6994	423	15	handling	handling	NOUN
ejpam-6994	423	16	of	of	ADP
ejpam-6994	423	17	overdispersion	overdispersion	NOUN
ejpam-6994	423	18	and	and	CCONJ
ejpam-6994	423	19	extreme	extreme	ADJ
ejpam-6994	423	20	events	event	NOUN
ejpam-6994	423	21	.	.	PUNCT
ejpam-6994	424	1	letters	letter	NOUN
ejpam-6994	424	2	in	in	ADP
ejpam-6994	424	3	biomathematics	biomathematic	NOUN
ejpam-6994	424	4	,	,	PUNCT
ejpam-6994	424	5	12(1	12(1	NUM
ejpam-6994	424	6	)	)	PUNCT
ejpam-6994	424	7	,	,	PUNCT
ejpam-6994	424	8	2025	2025	NUM
ejpam-6994	424	9	.	.	PUNCT
ejpam-6994	425	1	[	[	X
ejpam-6994	425	2	38	38	NUM
ejpam-6994	425	3	]	]	X
ejpam-6994	425	4	d.	d.	PROPN
ejpam-6994	425	5	yan	yan	PROPN
ejpam-6994	425	6	and	and	CCONJ
ejpam-6994	425	7	l.	l.	PROPN
ejpam-6994	425	8	tang	tang	PROPN
ejpam-6994	425	9	.	.	PUNCT
ejpam-6994	426	1	service	service	NOUN
ejpam-6994	426	2	differentiation	differentiation	NOUN
ejpam-6994	426	3	in	in	ADP
ejpam-6994	426	4	multi	multi	ADJ
ejpam-6994	426	5	-	-	ADJ
ejpam-6994	426	6	class	class	ADJ
ejpam-6994	426	7	call	call	NOUN
ejpam-6994	426	8	centers	center	NOUN
ejpam-6994	426	9	:	:	PUNCT
ejpam-6994	426	10	a	a	DET
ejpam-6994	426	11	reliabilitybased	reliabilitybase	VERB
ejpam-6994	426	12	approach	approach	NOUN
ejpam-6994	426	13	.	.	PUNCT
ejpam-6994	427	1	journal	journal	NOUN
ejpam-6994	427	2	of	of	ADP
ejpam-6994	427	3	service	service	NOUN
ejpam-6994	427	4	management	management	NOUN
ejpam-6994	427	5	,	,	PUNCT
ejpam-6994	427	6	31(2):245–264	31(2):245–264	PROPN
ejpam-6994	427	7	,	,	PUNCT
ejpam-6994	427	8	2020	2020	NUM
ejpam-6994	427	9	.	.	PUNCT
ejpam-6994	428	1	[	[	X
ejpam-6994	428	2	39	39	NUM
ejpam-6994	428	3	]	]	PUNCT
ejpam-6994	428	4	s.	s.	PROPN
ejpam-6994	428	5	zhai	zhai	PROPN
ejpam-6994	428	6	and	and	CCONJ
ejpam-6994	428	7	k.	k.	PROPN
ejpam-6994	428	8	yang	yang	PROPN
ejpam-6994	428	9	.	.	PROPN
ejpam-6994	429	1	discrete	discrete	ADJ
ejpam-6994	429	2	laplace	laplace	NOUN
ejpam-6994	429	3	transforms	transform	VERB
ejpam-6994	429	4	in	in	ADP
ejpam-6994	429	5	reliability	reliability	NOUN
ejpam-6994	429	6	-	-	PUNCT
ejpam-6994	429	7	based	base	VERB
ejpam-6994	429	8	resource	resource	NOUN
ejpam-6994	429	9	planning	planning	NOUN
ejpam-6994	429	10	.	.	PUNCT
ejpam-6994	430	1	applied	apply	VERB
ejpam-6994	430	2	mathematical	mathematical	ADJ
ejpam-6994	430	3	modelling	modelling	NOUN
ejpam-6994	430	4	,	,	PUNCT
ejpam-6994	430	5	100:225–239	100:225–239	NUM
ejpam-6994	430	6	,	,	PUNCT
ejpam-6994	430	7	2022	2022	NUM
ejpam-6994	430	8	.	.	PUNCT
ejpam-6994	431	1	[	[	X
ejpam-6994	431	2	40	40	NUM
ejpam-6994	431	3	]	]	PUNCT
ejpam-6994	431	4	z.	z.	PROPN
ejpam-6994	431	5	zhang	zhang	PROPN
ejpam-6994	431	6	and	and	CCONJ
ejpam-6994	431	7	j.	j.	PROPN
ejpam-6994	431	8	cao	cao	PROPN
ejpam-6994	431	9	.	.	PROPN
ejpam-6994	431	10	discrete	discrete	ADJ
ejpam-6994	431	11	transform	transform	VERB
ejpam-6994	431	12	techniques	technique	NOUN
ejpam-6994	431	13	in	in	ADP
ejpam-6994	431	14	system	system	NOUN
ejpam-6994	431	15	reliability	reliability	NOUN
ejpam-6994	431	16	analysis	analysis	NOUN
ejpam-6994	431	17	.	.	PUNCT
ejpam-6994	432	1	reliability	reliability	NOUN
ejpam-6994	432	2	engineering	engineering	NOUN
ejpam-6994	432	3	&	&	CCONJ
ejpam-6994	432	4	system	system	NOUN
ejpam-6994	432	5	safety	safety	NOUN
ejpam-6994	432	6	,	,	PUNCT
ejpam-6994	432	7	185:40–50	185:40–50	NUM
ejpam-6994	432	8	,	,	PUNCT
ejpam-6994	432	9	2019	2019	NUM
ejpam-6994	432	10	.	.	PUNCT
ejpam-6994	433	1	[	[	X
ejpam-6994	433	2	41	41	NUM
ejpam-6994	433	3	]	]	PUNCT
ejpam-6994	433	4	l.	l.	PROPN
ejpam-6994	433	5	zheng	zheng	PROPN
ejpam-6994	433	6	and	and	CCONJ
ejpam-6994	433	7	y.	y.	PROPN
ejpam-6994	433	8	shi	shi	PROPN
ejpam-6994	433	9	.	.	PUNCT
ejpam-6994	434	1	advances	advance	NOUN
ejpam-6994	434	2	in	in	ADP
ejpam-6994	434	3	discrete	discrete	ADJ
ejpam-6994	434	4	stochastic	stochastic	NOUN
ejpam-6994	434	5	modeling	modeling	NOUN
ejpam-6994	434	6	for	for	ADP
ejpam-6994	434	7	service	service	NOUN
ejpam-6994	434	8	systems	system	NOUN
ejpam-6994	434	9	.	.	PUNCT
ejpam-6994	435	1	international	international	ADJ
ejpam-6994	435	2	journal	journal	PROPN
ejpam-6994	435	3	of	of	ADP
ejpam-6994	435	4	production	production	NOUN
ejpam-6994	435	5	economics	economic	NOUN
ejpam-6994	435	6	,	,	PUNCT
ejpam-6994	435	7	248:108456	248:108456	NUM
ejpam-6994	435	8	,	,	PUNCT
ejpam-6994	435	9	2022	2022	NUM
ejpam-6994	435	10	.	.	PUNCT
ejpam-6994	436	1	[	[	X
ejpam-6994	436	2	42	42	NUM
ejpam-6994	436	3	]	]	X
ejpam-6994	436	4	y.	y.	PROPN
ejpam-6994	436	5	zohrevand	zohrevand	PROPN
ejpam-6994	436	6	and	and	CCONJ
ejpam-6994	436	7	s.	s.	PROPN
ejpam-6994	436	8	a.	a.	PROPN
ejpam-6994	436	9	pourmousavi	pourmousavi	PROPN
ejpam-6994	436	10	.	.	PUNCT
ejpam-6994	437	1	a	a	DET
ejpam-6994	437	2	new	new	ADJ
ejpam-6994	437	3	approach	approach	NOUN
ejpam-6994	437	4	to	to	ADP
ejpam-6994	437	5	performance	performance	NOUN
ejpam-6994	437	6	analysis	analysis	NOUN
ejpam-6994	437	7	of	of	ADP
ejpam-6994	437	8	customer	customer	NOUN
ejpam-6994	437	9	service	service	NOUN
ejpam-6994	437	10	systems	system	NOUN
ejpam-6994	437	11	using	use	VERB
ejpam-6994	437	12	stochastic	stochastic	ADJ
ejpam-6994	437	13	ordering	ordering	NOUN
ejpam-6994	437	14	.	.	PUNCT
ejpam-6994	438	1	ieee	ieee	NOUN
ejpam-6994	438	2	transactions	transaction	NOUN
ejpam-6994	438	3	on	on	ADP
ejpam-6994	438	4	reliability	reliability	NOUN
ejpam-6994	438	5	,	,	PUNCT
ejpam-6994	438	6	66(4):1174–1182	66(4):1174–1182	NUM
ejpam-6994	438	7	,	,	PUNCT
ejpam-6994	438	8	2017	2017	NUM
ejpam-6994	438	9	.	.	PUNCT
ejpam-6994	439	1	[	[	X
ejpam-6994	439	2	43	43	NUM
ejpam-6994	439	3	]	]	PUNCT
ejpam-6994	439	4	a.	a.	NOUN
ejpam-6994	439	5	mandelbaum	mandelbaum	PROPN
ejpam-6994	439	6	and	and	CCONJ
ejpam-6994	439	7	s.	s.	PROPN
ejpam-6994	439	8	zeltyn	zeltyn	PROPN
ejpam-6994	439	9	.	.	PUNCT
ejpam-6994	440	1	service	service	NOUN
ejpam-6994	440	2	engineering	engineering	NOUN
ejpam-6994	440	3	in	in	ADP
ejpam-6994	440	4	call	call	NOUN
ejpam-6994	440	5	centers	center	NOUN
ejpam-6994	440	6	.	.	PUNCT
ejpam-6994	441	1	in	in	ADP
ejpam-6994	441	2	queueing	queue	VERB
ejpam-6994	441	3	models	model	NOUN
ejpam-6994	441	4	and	and	CCONJ
ejpam-6994	441	5	service	service	NOUN
ejpam-6994	441	6	management	management	NOUN
ejpam-6994	441	7	.	.	PUNCT
ejpam-6994	442	1	2020	2020	NUM
ejpam-6994	442	2	.	.	PUNCT
ejpam-6994	443	1	[	[	X
ejpam-6994	443	2	44	44	NUM
ejpam-6994	443	3	]	]	PUNCT
ejpam-6994	443	4	j.	j.	PROPN
ejpam-6994	443	5	navarro	navarro	PROPN
ejpam-6994	443	6	et	et	PROPN
ejpam-6994	443	7	al	al	PROPN
ejpam-6994	443	8	.	.	PROPN
ejpam-6994	443	9	discrete	discrete	ADJ
ejpam-6994	443	10	ageing	age	VERB
ejpam-6994	443	11	properties	property	NOUN
ejpam-6994	443	12	and	and	CCONJ
ejpam-6994	443	13	discrete	discrete	ADJ
ejpam-6994	443	14	hazard	hazard	NOUN
ejpam-6994	443	15	rate	rate	NOUN
ejpam-6994	443	16	orders	order	NOUN
ejpam-6994	443	17	.	.	PUNCT
ejpam-6994	444	1	statistical	statistical	ADJ
ejpam-6994	444	2	papers	paper	NOUN
ejpam-6994	444	3	,	,	PUNCT
ejpam-6994	444	4	51:727–740	51:727–740	PROPN
ejpam-6994	444	5	,	,	PUNCT
ejpam-6994	444	6	2010	2010	NUM
ejpam-6994	444	7	.	.	PUNCT
ejpam-6994	445	1	[	[	X
ejpam-6994	445	2	45	45	NUM
ejpam-6994	445	3	]	]	PUNCT
ejpam-6994	445	4	m.	m.	NOUN
ejpam-6994	445	5	shaked	shaked	PROPN
ejpam-6994	445	6	and	and	CCONJ
ejpam-6994	445	7	j.	j.	PROPN
ejpam-6994	445	8	g.	g.	PROPN
ejpam-6994	445	9	shanthikumar	shanthikumar	PROPN
ejpam-6994	445	10	.	.	PUNCT
ejpam-6994	446	1	stochastic	stochastic	ADJ
ejpam-6994	446	2	orders	order	NOUN
ejpam-6994	446	3	.	.	PUNCT
ejpam-6994	447	1	springer	springer	NOUN
ejpam-6994	447	2	,	,	PUNCT
ejpam-6994	447	3	2007	2007	NUM
ejpam-6994	447	4	.	.	PUNCT
ejpam-6994	448	1	[	[	X
ejpam-6994	448	2	46	46	NUM
ejpam-6994	448	3	]	]	PUNCT
ejpam-6994	448	4	s.	s.	PROPN
ejpam-6994	448	5	saber	saber	PROPN
ejpam-6994	448	6	and	and	CCONJ
ejpam-6994	448	7	e.	e.	PROPN
ejpam-6994	448	8	solouma	solouma	PROPN
ejpam-6994	448	9	.	.	PUNCT
ejpam-6994	449	1	the	the	DET
ejpam-6994	449	2	generalized	generalize	VERB
ejpam-6994	449	3	euler	euler	NOUN
ejpam-6994	449	4	method	method	NOUN
ejpam-6994	449	5	for	for	ADP
ejpam-6994	449	6	analyzing	analyze	VERB
ejpam-6994	449	7	zoonotic	zoonotic	ADJ
ejpam-6994	449	8	disease	disease	NOUN
ejpam-6994	449	9	dynamics	dynamic	NOUN
ejpam-6994	449	10	in	in	ADP
ejpam-6994	449	11	baboon	baboon	PROPN
ejpam-6994	449	12	–	–	PUNCT
ejpam-6994	449	13	human	human	ADJ
ejpam-6994	449	14	populations	population	NOUN
ejpam-6994	449	15	.	.	PUNCT
ejpam-6994	450	1	symmetry	symmetry	NOUN
ejpam-6994	450	2	,	,	PUNCT
ejpam-6994	450	3	17(4):541	17(4):541	NUM
ejpam-6994	450	4	,	,	PUNCT
ejpam-6994	450	5	2025	2025	NUM
ejpam-6994	450	6	.	.	PUNCT